TSTP Solution File: HWV046+2 by Z3---4.8.9.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Z3---4.8.9.0
% Problem : HWV046+2 : TPTP v8.1.0. Released v5.3.0.
% Transfm : none
% Format : tptp
% Command : z3_tptp -proof -model -t:%d -file:%s
% Computer : n020.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Sat Sep 17 02:13:15 EDT 2022
% Result : Theorem 13.42s 8.67s
% Output : Proof 20.78s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : HWV046+2 : TPTP v8.1.0. Released v5.3.0.
% 0.12/0.13 % Command : z3_tptp -proof -model -t:%d -file:%s
% 0.13/0.34 % Computer : n020.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Wed Aug 31 22:50:15 EDT 2022
% 0.19/0.34 % CPUTime :
% 0.19/0.35 Z3tptp [4.8.9.0] (c) 2006-20**. Microsoft Corp.
% 0.19/0.35 Usage: tptp [options] [-file:]file
% 0.19/0.35 -h, -? prints this message.
% 0.19/0.35 -smt2 print SMT-LIB2 benchmark.
% 0.19/0.35 -m, -model generate model.
% 0.19/0.35 -p, -proof generate proof.
% 0.19/0.35 -c, -core generate unsat core of named formulas.
% 0.19/0.35 -st, -statistics display statistics.
% 0.19/0.35 -t:timeout set timeout (in second).
% 0.19/0.35 -smt2status display status in smt2 format instead of SZS.
% 0.19/0.35 -check_status check the status produced by Z3 against annotation in benchmark.
% 0.19/0.35 -<param>:<value> configuration parameter and value.
% 0.19/0.35 -o:<output-file> file to place output in.
% 13.42/8.67 % SZS status Theorem
% 13.42/8.67 % SZS output start Proof
% 13.42/8.67 tff(v86_type, type, (
% 13.42/8.67 v86: $i > $o)).
% 13.42/8.67 tff(constB69_type, type, (
% 13.42/8.67 constB69: $i)).
% 13.42/8.67 tff(tptp_fun_VarCurr_0_type, type, (
% 13.42/8.67 tptp_fun_VarCurr_0: $i)).
% 13.42/8.67 tff(constB97_type, type, (
% 13.42/8.67 constB97: $i)).
% 13.42/8.67 tff(v193_type, type, (
% 13.42/8.67 v193: $i > $o)).
% 13.42/8.67 tff(v157_type, type, (
% 13.42/8.67 v157: $i > $o)).
% 13.42/8.67 tff(v206_type, type, (
% 13.42/8.67 v206: $i > $o)).
% 13.42/8.67 tff(v205_type, type, (
% 13.42/8.67 v205: $i > $o)).
% 13.42/8.67 tff(v82_type, type, (
% 13.42/8.67 v82: $i > $o)).
% 13.42/8.67 tff(reachableState_type, type, (
% 13.42/8.67 reachableState: $i > $o)).
% 13.42/8.67 tff(v191_type, type, (
% 13.42/8.67 v191: $i > $o)).
% 13.42/8.67 tff(constB96_type, type, (
% 13.42/8.67 constB96: $i)).
% 13.42/8.67 tff(nextState_type, type, (
% 13.42/8.67 nextState: ( $i * $i ) > $o)).
% 13.42/8.67 tff(v198_type, type, (
% 13.42/8.67 v198: $i > $o)).
% 13.42/8.67 tff(v194_type, type, (
% 13.42/8.67 v194: $i > $o)).
% 13.42/8.67 tff(v200_type, type, (
% 13.42/8.67 v200: $i > $o)).
% 13.42/8.67 tff(v199_type, type, (
% 13.42/8.67 v199: $i > $o)).
% 13.42/8.67 tff(v201_type, type, (
% 13.42/8.67 v201: $i > $o)).
% 13.42/8.67 tff(v197_type, type, (
% 13.42/8.67 v197: $i > $o)).
% 13.42/8.67 tff(v9_type, type, (
% 13.42/8.67 v9: $i > $o)).
% 13.42/8.67 tff(v39_type, type, (
% 13.42/8.67 v39: $i > $o)).
% 13.42/8.67 tff(v1_type, type, (
% 13.42/8.67 v1: $i > $o)).
% 13.42/8.67 tff(v195_type, type, (
% 13.42/8.67 v195: $i > $o)).
% 13.42/8.67 tff(constB95_type, type, (
% 13.42/8.67 constB95: $i)).
% 13.42/8.67 tff(v196_type, type, (
% 13.42/8.67 v196: $i > $o)).
% 13.42/8.67 tff(v26_type, type, (
% 13.42/8.67 v26: $i > $o)).
% 13.42/8.67 tff(v13_type, type, (
% 13.42/8.67 v13: $i > $o)).
% 13.42/8.67 tff(v6_type, type, (
% 13.42/8.67 v6: $i > $o)).
% 13.42/8.67 tff(v21_type, type, (
% 13.42/8.67 v21: $i > $o)).
% 13.42/8.67 tff(v20_type, type, (
% 13.42/8.67 v20: $i > $o)).
% 13.42/8.67 tff(v19_type, type, (
% 13.42/8.67 v19: $i > $o)).
% 13.42/8.67 tff(v22_type, type, (
% 13.42/8.67 v22: $i > $o)).
% 13.42/8.67 tff(v18_type, type, (
% 13.42/8.67 v18: $i > $o)).
% 13.42/8.67 tff(v4_type, type, (
% 13.42/8.67 v4: $i > $o)).
% 13.42/8.67 tff(v161_type, type, (
% 13.42/8.67 v161: $i > $o)).
% 13.42/8.67 tff(v159_type, type, (
% 13.42/8.67 v159: $i > $o)).
% 13.42/8.67 tff(v163_type, type, (
% 13.42/8.67 v163: $i > $o)).
% 13.42/8.67 tff(v170_type, type, (
% 13.42/8.67 v170: $i > $o)).
% 13.42/8.67 tff(v171_type, type, (
% 13.42/8.67 v171: $i > $o)).
% 13.42/8.67 tff(v150_type, type, (
% 13.42/8.67 v150: $i > $o)).
% 13.42/8.67 tff(v142_type, type, (
% 13.42/8.67 v142: $i > $o)).
% 13.42/8.67 tff(v144_type, type, (
% 13.42/8.67 v144: $i > $o)).
% 13.42/8.67 tff(v143_type, type, (
% 13.42/8.67 v143: $i > $o)).
% 13.42/8.67 tff(v88_type, type, (
% 13.42/8.67 v88: ( $i * $i ) > $o)).
% 13.42/8.67 tff(bitIndex0_type, type, (
% 13.42/8.67 bitIndex0: $i)).
% 13.42/8.67 tff(bitIndex1_type, type, (
% 13.42/8.67 bitIndex1: $i)).
% 13.42/8.67 tff(bitIndex2_type, type, (
% 13.42/8.67 bitIndex2: $i)).
% 13.42/8.67 tff(v90_type, type, (
% 13.42/8.67 v90: ( $i * $i ) > $o)).
% 13.42/8.67 tff(less_3_type, type, (
% 13.42/8.67 less_3: $i > $o)).
% 13.42/8.67 tff(constB94_type, type, (
% 13.42/8.67 constB94: $i)).
% 13.42/8.67 tff(v100_type, type, (
% 13.42/8.67 v100: $i > $o)).
% 13.42/8.67 tff(v110_type, type, (
% 13.42/8.67 v110: $i > $o)).
% 13.42/8.67 tff(v101_type, type, (
% 13.42/8.67 v101: $i > $o)).
% 13.42/8.67 tff(v102_type, type, (
% 13.42/8.67 v102: $i > $o)).
% 13.42/8.67 tff(v129_type, type, (
% 13.42/8.67 v129: ( $i * $i ) > $o)).
% 13.42/8.67 tff(constB93_type, type, (
% 13.42/8.67 constB93: $i)).
% 13.42/8.67 tff(v104_type, type, (
% 13.42/8.67 v104: $i > $o)).
% 13.42/8.67 tff(v108_type, type, (
% 13.42/8.67 v108: $i > $o)).
% 13.42/8.67 tff(v112_type, type, (
% 13.42/8.67 v112: $i > $o)).
% 13.42/8.67 tff(v111_type, type, (
% 13.42/8.67 v111: $i > $o)).
% 13.42/8.67 tff(v126_type, type, (
% 13.42/8.67 v126: $i > $o)).
% 13.42/8.67 tff(v113_type, type, (
% 13.42/8.67 v113: $i > $o)).
% 13.42/8.67 tff(v125_type, type, (
% 13.42/8.67 v125: $i > $o)).
% 13.42/8.67 tff(v114_type, type, (
% 13.42/8.67 v114: $i > $o)).
% 13.42/8.67 tff(v124_type, type, (
% 13.42/8.67 v124: $i > $o)).
% 13.42/8.67 tff(v115_type, type, (
% 13.42/8.67 v115: $i > $o)).
% 13.42/8.67 tff(v123_type, type, (
% 13.42/8.67 v123: $i > $o)).
% 13.42/8.67 tff(v116_type, type, (
% 13.42/8.67 v116: $i > $o)).
% 13.42/8.67 tff(constB92_type, type, (
% 13.42/8.67 constB92: $i)).
% 13.42/8.67 tff(constB91_type, type, (
% 13.42/8.67 constB91: $i)).
% 13.42/8.67 tff(v122_type, type, (
% 13.42/8.67 v122: $i > $o)).
% 13.42/8.67 tff(v117_type, type, (
% 13.42/8.67 v117: $i > $o)).
% 13.42/8.67 tff(constB90_type, type, (
% 13.42/8.67 constB90: $i)).
% 13.42/8.67 tff(constB89_type, type, (
% 13.42/8.67 constB89: $i)).
% 13.42/8.67 tff(v121_type, type, (
% 13.42/8.67 v121: $i > $o)).
% 13.42/8.67 tff(v118_type, type, (
% 13.42/8.67 v118: $i > $o)).
% 13.42/8.67 tff(constB88_type, type, (
% 13.42/8.67 constB88: $i)).
% 13.42/8.67 tff(constB87_type, type, (
% 13.42/8.67 constB87: $i)).
% 13.42/8.67 tff(v120_type, type, (
% 13.42/8.67 v120: $i > $o)).
% 13.42/8.67 tff(v119_type, type, (
% 13.42/8.67 v119: $i > $o)).
% 13.42/8.67 tff(constB86_type, type, (
% 13.42/8.67 constB86: $i)).
% 13.42/8.67 tff(constB85_type, type, (
% 13.42/8.67 constB85: $i)).
% 13.42/8.67 tff(constB84_type, type, (
% 13.42/8.67 constB84: $i)).
% 13.42/8.67 tff(constB83_type, type, (
% 13.42/8.67 constB83: $i)).
% 13.42/8.67 tff(constB82_type, type, (
% 13.42/8.67 constB82: $i)).
% 13.42/8.67 tff(constB81_type, type, (
% 13.42/8.67 constB81: $i)).
% 13.42/8.67 tff(constB80_type, type, (
% 13.42/8.67 constB80: $i)).
% 13.42/8.67 tff(constB79_type, type, (
% 13.42/8.67 constB79: $i)).
% 13.42/8.67 tff(constB78_type, type, (
% 13.42/8.67 constB78: $i)).
% 13.42/8.67 tff(constB77_type, type, (
% 13.42/8.67 constB77: $i)).
% 13.42/8.67 tff(constB76_type, type, (
% 13.42/8.67 constB76: $i)).
% 13.42/8.67 tff(constB75_type, type, (
% 13.42/8.67 constB75: $i)).
% 13.42/8.67 tff(constB74_type, type, (
% 13.42/8.67 constB74: $i)).
% 13.42/8.67 tff(constB73_type, type, (
% 13.42/8.67 constB73: $i)).
% 13.42/8.67 tff(constB72_type, type, (
% 13.42/8.67 constB72: $i)).
% 13.42/8.67 tff(constB71_type, type, (
% 13.42/8.67 constB71: $i)).
% 13.42/8.67 tff(constB70_type, type, (
% 13.42/8.67 constB70: $i)).
% 13.42/8.67 tff(constB68_type, type, (
% 13.42/8.67 constB68: $i)).
% 13.42/8.67 tff(constB67_type, type, (
% 13.42/8.67 constB67: $i)).
% 13.42/8.67 tff(constB66_type, type, (
% 13.42/8.67 constB66: $i)).
% 13.42/8.67 tff(constB65_type, type, (
% 13.42/8.67 constB65: $i)).
% 13.42/8.67 tff(constB64_type, type, (
% 13.42/8.67 constB64: $i)).
% 13.42/8.67 tff(constB63_type, type, (
% 13.42/8.67 constB63: $i)).
% 13.42/8.67 tff(constB62_type, type, (
% 13.42/8.67 constB62: $i)).
% 13.42/8.67 tff(constB61_type, type, (
% 13.42/8.67 constB61: $i)).
% 13.42/8.67 tff(constB60_type, type, (
% 13.42/8.67 constB60: $i)).
% 13.42/8.67 tff(constB59_type, type, (
% 13.42/8.67 constB59: $i)).
% 13.42/8.67 tff(constB58_type, type, (
% 13.42/8.67 constB58: $i)).
% 13.42/8.67 tff(constB57_type, type, (
% 13.42/8.67 constB57: $i)).
% 13.42/8.67 tff(constB56_type, type, (
% 13.42/8.67 constB56: $i)).
% 13.42/8.67 tff(constB55_type, type, (
% 13.42/8.67 constB55: $i)).
% 13.42/8.67 tff(constB54_type, type, (
% 13.42/8.67 constB54: $i)).
% 13.42/8.67 tff(constB53_type, type, (
% 13.42/8.67 constB53: $i)).
% 13.42/8.67 tff(constB52_type, type, (
% 13.42/8.67 constB52: $i)).
% 13.42/8.67 tff(constB51_type, type, (
% 13.42/8.67 constB51: $i)).
% 13.42/8.67 tff(constB50_type, type, (
% 13.42/8.67 constB50: $i)).
% 13.42/8.67 tff(constB49_type, type, (
% 13.42/8.67 constB49: $i)).
% 13.42/8.67 tff(constB48_type, type, (
% 13.42/8.67 constB48: $i)).
% 13.42/8.67 tff(constB47_type, type, (
% 13.42/8.67 constB47: $i)).
% 13.42/8.67 tff(constB46_type, type, (
% 13.42/8.67 constB46: $i)).
% 13.42/8.67 tff(constB45_type, type, (
% 13.42/8.67 constB45: $i)).
% 13.42/8.67 tff(constB44_type, type, (
% 13.42/8.67 constB44: $i)).
% 13.42/8.67 tff(constB43_type, type, (
% 13.42/8.67 constB43: $i)).
% 13.42/8.67 tff(constB42_type, type, (
% 13.42/8.67 constB42: $i)).
% 13.42/8.67 tff(constB41_type, type, (
% 13.42/8.67 constB41: $i)).
% 13.42/8.67 tff(constB40_type, type, (
% 13.42/8.67 constB40: $i)).
% 13.42/8.67 tff(constB39_type, type, (
% 13.42/8.67 constB39: $i)).
% 13.42/8.67 tff(constB38_type, type, (
% 13.42/8.67 constB38: $i)).
% 13.42/8.67 tff(constB37_type, type, (
% 13.42/8.67 constB37: $i)).
% 13.42/8.67 tff(constB36_type, type, (
% 13.42/8.67 constB36: $i)).
% 13.42/8.67 tff(constB35_type, type, (
% 13.42/8.67 constB35: $i)).
% 13.42/8.67 tff(constB34_type, type, (
% 13.42/8.67 constB34: $i)).
% 13.42/8.67 tff(constB33_type, type, (
% 13.42/8.67 constB33: $i)).
% 13.42/8.67 tff(constB32_type, type, (
% 13.42/8.67 constB32: $i)).
% 13.42/8.67 tff(constB31_type, type, (
% 13.42/8.67 constB31: $i)).
% 13.42/8.67 tff(constB30_type, type, (
% 13.42/8.68 constB30: $i)).
% 13.42/8.68 tff(constB29_type, type, (
% 13.42/8.68 constB29: $i)).
% 13.42/8.68 tff(constB28_type, type, (
% 13.42/8.68 constB28: $i)).
% 13.42/8.68 tff(constB27_type, type, (
% 13.42/8.68 constB27: $i)).
% 13.42/8.68 tff(constB26_type, type, (
% 13.42/8.68 constB26: $i)).
% 13.42/8.68 tff(constB25_type, type, (
% 13.42/8.68 constB25: $i)).
% 13.42/8.68 tff(constB24_type, type, (
% 13.42/8.68 constB24: $i)).
% 13.42/8.68 tff(constB23_type, type, (
% 13.42/8.68 constB23: $i)).
% 13.42/8.68 tff(constB22_type, type, (
% 13.42/8.68 constB22: $i)).
% 13.42/8.68 tff(constB21_type, type, (
% 13.42/8.68 constB21: $i)).
% 13.42/8.68 tff(constB20_type, type, (
% 13.42/8.68 constB20: $i)).
% 13.42/8.68 tff(constB19_type, type, (
% 13.42/8.68 constB19: $i)).
% 13.42/8.68 tff(constB18_type, type, (
% 13.42/8.68 constB18: $i)).
% 13.42/8.68 tff(constB17_type, type, (
% 13.42/8.68 constB17: $i)).
% 13.42/8.68 tff(constB16_type, type, (
% 13.42/8.68 constB16: $i)).
% 13.42/8.68 tff(constB15_type, type, (
% 13.42/8.68 constB15: $i)).
% 13.42/8.68 tff(constB14_type, type, (
% 13.42/8.68 constB14: $i)).
% 13.42/8.68 tff(constB13_type, type, (
% 13.42/8.68 constB13: $i)).
% 13.42/8.68 tff(constB12_type, type, (
% 13.42/8.68 constB12: $i)).
% 13.42/8.68 tff(constB11_type, type, (
% 13.42/8.68 constB11: $i)).
% 13.42/8.68 tff(constB10_type, type, (
% 13.42/8.68 constB10: $i)).
% 13.42/8.68 tff(constB9_type, type, (
% 13.42/8.68 constB9: $i)).
% 13.42/8.68 tff(constB8_type, type, (
% 13.42/8.68 constB8: $i)).
% 13.42/8.68 tff(constB7_type, type, (
% 13.42/8.68 constB7: $i)).
% 13.42/8.68 tff(constB6_type, type, (
% 13.42/8.68 constB6: $i)).
% 13.42/8.68 tff(constB5_type, type, (
% 13.42/8.68 constB5: $i)).
% 13.42/8.68 tff(constB4_type, type, (
% 13.42/8.68 constB4: $i)).
% 13.42/8.68 tff(constB3_type, type, (
% 13.42/8.68 constB3: $i)).
% 13.42/8.68 tff(constB2_type, type, (
% 13.42/8.68 constB2: $i)).
% 13.42/8.68 tff(constB1_type, type, (
% 13.42/8.68 constB1: $i)).
% 13.42/8.68 tff(constB0_type, type, (
% 13.42/8.68 constB0: $i)).
% 13.42/8.68 tff(v127_type, type, (
% 13.42/8.68 v127: ( $i * $i ) > $o)).
% 13.42/8.68 tff(v130_type, type, (
% 13.42/8.68 v130: ( $i * $i ) > $o)).
% 13.42/8.68 tff(b100_type, type, (
% 13.42/8.68 b100: $i > $o)).
% 13.42/8.68 tff(b110_type, type, (
% 13.42/8.68 b110: $i > $o)).
% 13.42/8.68 tff(b001_type, type, (
% 13.42/8.68 b001: $i > $o)).
% 13.42/8.68 tff(b010_type, type, (
% 13.42/8.68 b010: $i > $o)).
% 13.42/8.68 tff(b011_type, type, (
% 13.42/8.68 b011: $i > $o)).
% 13.42/8.68 tff(v166_type, type, (
% 13.42/8.68 v166: $i > $o)).
% 13.42/8.68 tff(v167_type, type, (
% 13.42/8.68 v167: $i > $o)).
% 13.42/8.68 tff(v145_type, type, (
% 13.42/8.68 v145: $i > $o)).
% 13.42/8.68 tff(v168_type, type, (
% 13.42/8.68 v168: $i > $o)).
% 13.42/8.68 tff(constB151_type, type, (
% 13.42/8.68 constB151: $i)).
% 13.42/8.68 tff(constB150_type, type, (
% 13.42/8.68 constB150: $i)).
% 13.42/8.68 tff(constB149_type, type, (
% 13.42/8.68 constB149: $i)).
% 13.42/8.68 tff(constB148_type, type, (
% 13.42/8.68 constB148: $i)).
% 13.42/8.68 tff(v179_type, type, (
% 13.42/8.68 v179: $i > $o)).
% 13.42/8.68 tff(v180_type, type, (
% 13.42/8.68 v180: $i > $o)).
% 13.42/8.68 tff(v181_type, type, (
% 13.42/8.68 v181: $i > $o)).
% 13.42/8.68 tff(v186_type, type, (
% 13.42/8.68 v186: $i > $o)).
% 13.42/8.68 tff(constB147_type, type, (
% 13.42/8.68 constB147: $i)).
% 13.42/8.68 tff(v151_type, type, (
% 13.42/8.68 v151: $i > $o)).
% 13.42/8.68 tff(v141_type, type, (
% 13.42/8.68 v141: $i > $o)).
% 13.42/8.68 tff(v140_type, type, (
% 13.42/8.68 v140: $i > $o)).
% 13.42/8.68 tff(v139_type, type, (
% 13.42/8.68 v139: $i > $o)).
% 13.42/8.68 tff(constB146_type, type, (
% 13.42/8.68 constB146: $i)).
% 13.42/8.68 tff(constB145_type, type, (
% 13.42/8.68 constB145: $i)).
% 13.42/8.68 tff(constB144_type, type, (
% 13.42/8.68 constB144: $i)).
% 13.42/8.68 tff(constB143_type, type, (
% 13.42/8.68 constB143: $i)).
% 13.42/8.68 tff(constB142_type, type, (
% 13.42/8.68 constB142: $i)).
% 13.42/8.68 tff(constB141_type, type, (
% 13.42/8.68 constB141: $i)).
% 13.42/8.68 tff(constB140_type, type, (
% 13.42/8.68 constB140: $i)).
% 13.42/8.68 tff(constB139_type, type, (
% 13.42/8.68 constB139: $i)).
% 13.42/8.68 tff(constB138_type, type, (
% 13.42/8.68 constB138: $i)).
% 13.42/8.68 tff(constB137_type, type, (
% 13.42/8.68 constB137: $i)).
% 13.42/8.68 tff(constB136_type, type, (
% 13.42/8.68 constB136: $i)).
% 13.42/8.68 tff(constB135_type, type, (
% 13.42/8.68 constB135: $i)).
% 13.42/8.68 tff(constB134_type, type, (
% 13.42/8.68 constB134: $i)).
% 13.42/8.68 tff(constB133_type, type, (
% 13.42/8.68 constB133: $i)).
% 13.42/8.68 tff(constB132_type, type, (
% 13.42/8.68 constB132: $i)).
% 13.42/8.68 tff(constB131_type, type, (
% 13.42/8.68 constB131: $i)).
% 13.42/8.68 tff(constB130_type, type, (
% 13.42/8.68 constB130: $i)).
% 13.42/8.68 tff(constB129_type, type, (
% 13.42/8.68 constB129: $i)).
% 13.42/8.68 tff(constB128_type, type, (
% 13.42/8.68 constB128: $i)).
% 13.42/8.68 tff(constB127_type, type, (
% 13.42/8.68 constB127: $i)).
% 13.42/8.68 tff(constB126_type, type, (
% 13.42/8.68 constB126: $i)).
% 13.42/8.68 tff(constB125_type, type, (
% 13.42/8.68 constB125: $i)).
% 13.42/8.68 tff(constB124_type, type, (
% 13.42/8.68 constB124: $i)).
% 13.42/8.68 tff(constB123_type, type, (
% 13.42/8.68 constB123: $i)).
% 13.42/8.68 tff(constB122_type, type, (
% 13.42/8.68 constB122: $i)).
% 13.42/8.68 tff(constB121_type, type, (
% 13.42/8.68 constB121: $i)).
% 13.42/8.68 tff(constB120_type, type, (
% 13.42/8.68 constB120: $i)).
% 13.42/8.68 tff(constB119_type, type, (
% 13.42/8.68 constB119: $i)).
% 13.42/8.68 tff(constB118_type, type, (
% 13.42/8.68 constB118: $i)).
% 13.42/8.68 tff(constB117_type, type, (
% 13.42/8.68 constB117: $i)).
% 13.42/8.68 tff(constB116_type, type, (
% 13.42/8.68 constB116: $i)).
% 13.42/8.68 tff(constB115_type, type, (
% 13.42/8.68 constB115: $i)).
% 13.42/8.68 tff(constB114_type, type, (
% 13.42/8.68 constB114: $i)).
% 13.42/8.68 tff(constB113_type, type, (
% 13.42/8.68 constB113: $i)).
% 13.42/8.68 tff(constB112_type, type, (
% 13.42/8.68 constB112: $i)).
% 13.42/8.68 tff(constB111_type, type, (
% 13.42/8.68 constB111: $i)).
% 13.42/8.68 tff(constB110_type, type, (
% 13.42/8.68 constB110: $i)).
% 13.42/8.68 tff(constB109_type, type, (
% 13.42/8.68 constB109: $i)).
% 13.42/8.68 tff(constB108_type, type, (
% 13.42/8.68 constB108: $i)).
% 13.42/8.68 tff(constB107_type, type, (
% 13.42/8.68 constB107: $i)).
% 13.42/8.68 tff(constB106_type, type, (
% 13.42/8.68 constB106: $i)).
% 13.42/8.68 tff(constB105_type, type, (
% 13.42/8.68 constB105: $i)).
% 13.42/8.68 tff(constB104_type, type, (
% 13.42/8.68 constB104: $i)).
% 13.42/8.68 tff(constB103_type, type, (
% 13.42/8.68 constB103: $i)).
% 13.42/8.68 tff(constB102_type, type, (
% 13.42/8.68 constB102: $i)).
% 13.42/8.68 tff(constB101_type, type, (
% 13.42/8.68 constB101: $i)).
% 13.42/8.68 tff(constB100_type, type, (
% 13.42/8.68 constB100: $i)).
% 13.42/8.68 tff(constB99_type, type, (
% 13.42/8.68 constB99: $i)).
% 13.42/8.68 tff(constB98_type, type, (
% 13.42/8.68 constB98: $i)).
% 13.42/8.68 tff(v169_type, type, (
% 13.42/8.68 v169: $i > $o)).
% 13.42/8.68 tff(constB169_type, type, (
% 13.42/8.68 constB169: $i)).
% 13.42/8.68 tff(v84_type, type, (
% 13.42/8.68 v84: $i > $o)).
% 13.42/8.68 tff(v208_type, type, (
% 13.42/8.68 v208: $i > $o)).
% 13.42/8.68 tff(v207_type, type, (
% 13.42/8.68 v207: $i > $o)).
% 13.42/8.68 tff(v148_type, type, (
% 13.42/8.68 v148: $i > $o)).
% 13.42/8.68 tff(constB168_type, type, (
% 13.42/8.68 constB168: $i)).
% 13.42/8.68 tff(constB167_type, type, (
% 13.42/8.68 constB167: $i)).
% 13.42/8.68 tff(constB166_type, type, (
% 13.42/8.68 constB166: $i)).
% 13.42/8.68 tff(constB165_type, type, (
% 13.42/8.68 constB165: $i)).
% 13.42/8.68 tff(constB164_type, type, (
% 13.42/8.68 constB164: $i)).
% 13.42/8.68 tff(constB163_type, type, (
% 13.42/8.68 constB163: $i)).
% 13.42/8.68 tff(constB162_type, type, (
% 13.42/8.68 constB162: $i)).
% 13.42/8.68 tff(constB161_type, type, (
% 13.42/8.68 constB161: $i)).
% 13.42/8.68 tff(constB160_type, type, (
% 13.42/8.68 constB160: $i)).
% 13.42/8.68 tff(constB159_type, type, (
% 13.42/8.68 constB159: $i)).
% 13.42/8.68 tff(constB158_type, type, (
% 13.42/8.68 constB158: $i)).
% 13.42/8.68 tff(constB157_type, type, (
% 13.42/8.68 constB157: $i)).
% 13.42/8.68 tff(constB156_type, type, (
% 13.42/8.68 constB156: $i)).
% 13.42/8.68 tff(constB155_type, type, (
% 13.42/8.68 constB155: $i)).
% 13.42/8.68 tff(constB154_type, type, (
% 13.42/8.68 constB154: $i)).
% 13.42/8.68 tff(constB153_type, type, (
% 13.42/8.68 constB153: $i)).
% 13.42/8.68 tff(constB152_type, type, (
% 13.42/8.68 constB152: $i)).
% 13.42/8.68 tff(v135_type, type, (
% 13.42/8.68 v135: $i > $o)).
% 13.42/8.68 tff(v136_type, type, (
% 13.42/8.68 v136: $i > $o)).
% 13.42/8.68 tff(v137_type, type, (
% 13.42/8.68 v137: $i > $o)).
% 13.42/8.68 tff(constB195_type, type, (
% 13.42/8.68 constB195: $i)).
% 13.42/8.68 tff(constB194_type, type, (
% 13.42/8.68 constB194: $i)).
% 13.42/8.68 tff(constB193_type, type, (
% 13.42/8.68 constB193: $i)).
% 13.42/8.68 tff(constB192_type, type, (
% 13.42/8.68 constB192: $i)).
% 13.42/8.68 tff(constB191_type, type, (
% 13.42/8.68 constB191: $i)).
% 13.42/8.68 tff(constB190_type, type, (
% 13.42/8.68 constB190: $i)).
% 13.42/8.68 tff(constB189_type, type, (
% 13.42/8.68 constB189: $i)).
% 13.42/8.68 tff(constB188_type, type, (
% 13.42/8.68 constB188: $i)).
% 13.42/8.68 tff(constB187_type, type, (
% 13.42/8.68 constB187: $i)).
% 13.42/8.68 tff(constB186_type, type, (
% 13.42/8.68 constB186: $i)).
% 13.42/8.68 tff(constB185_type, type, (
% 13.42/8.68 constB185: $i)).
% 13.42/8.68 tff(constB184_type, type, (
% 13.42/8.68 constB184: $i)).
% 13.42/8.68 tff(constB183_type, type, (
% 13.42/8.68 constB183: $i)).
% 13.42/8.68 tff(constB182_type, type, (
% 13.42/8.68 constB182: $i)).
% 13.42/8.68 tff(constB181_type, type, (
% 13.42/8.68 constB181: $i)).
% 13.42/8.68 tff(constB180_type, type, (
% 13.42/8.68 constB180: $i)).
% 13.42/8.68 tff(constB179_type, type, (
% 13.42/8.68 constB179: $i)).
% 13.42/8.68 tff(constB178_type, type, (
% 13.42/8.68 constB178: $i)).
% 13.42/8.68 tff(constB177_type, type, (
% 13.42/8.68 constB177: $i)).
% 13.42/8.68 tff(constB176_type, type, (
% 13.42/8.68 constB176: $i)).
% 13.42/8.68 tff(constB175_type, type, (
% 13.42/8.68 constB175: $i)).
% 13.42/8.68 tff(constB174_type, type, (
% 13.42/8.68 constB174: $i)).
% 13.42/8.68 tff(constB173_type, type, (
% 13.42/8.68 constB173: $i)).
% 13.42/8.68 tff(constB172_type, type, (
% 13.42/8.68 constB172: $i)).
% 13.42/8.68 tff(constB171_type, type, (
% 13.42/8.68 constB171: $i)).
% 13.42/8.68 tff(constB170_type, type, (
% 13.42/8.68 constB170: $i)).
% 13.42/8.68 tff(constB197_type, type, (
% 13.42/8.68 constB197: $i)).
% 13.42/8.68 tff(constB196_type, type, (
% 13.42/8.68 constB196: $i)).
% 13.42/8.68 tff(constB199_type, type, (
% 13.42/8.68 constB199: $i)).
% 13.42/8.68 tff(constB198_type, type, (
% 13.42/8.68 constB198: $i)).
% 13.42/8.68 tff(constB200_type, type, (
% 13.42/8.68 constB200: $i)).
% 13.42/8.68 tff(1,assumption,(constB97 = VarCurr!0), introduced(assumption)).
% 13.42/8.68 tff(2,plain,
% 13.42/8.68 (v193(constB97) <=> v193(VarCurr!0)),
% 13.42/8.68 inference(monotonicity,[status(thm)],[1])).
% 13.42/8.68 tff(3,plain,
% 13.42/8.68 (v193(VarCurr!0) <=> v193(constB97)),
% 13.42/8.68 inference(symmetry,[status(thm)],[2])).
% 13.42/8.68 tff(4,plain,
% 13.42/8.68 (^[VarNext: $i] : refl((v157(VarNext) <=> v193(VarNext)) <=> (v157(VarNext) <=> v193(VarNext)))),
% 13.42/8.68 inference(bind,[status(th)],[])).
% 13.42/8.68 tff(5,plain,
% 13.42/8.68 (![VarNext: $i] : (v157(VarNext) <=> v193(VarNext)) <=> ![VarNext: $i] : (v157(VarNext) <=> v193(VarNext))),
% 13.42/8.68 inference(quant_intro,[status(thm)],[4])).
% 13.42/8.68 tff(6,plain,
% 13.42/8.68 (![VarNext: $i] : (v157(VarNext) <=> v193(VarNext)) <=> ![VarNext: $i] : (v157(VarNext) <=> v193(VarNext))),
% 13.42/8.68 inference(rewrite,[status(thm)],[])).
% 13.42/8.68 tff(7,plain,
% 13.42/8.68 (^[VarNext: $i] : rewrite(($true => (v157(VarNext) <=> v193(VarNext))) <=> (v157(VarNext) <=> v193(VarNext)))),
% 13.42/8.68 inference(bind,[status(th)],[])).
% 13.42/8.68 tff(8,plain,
% 13.42/8.68 (![VarNext: $i] : ($true => (v157(VarNext) <=> v193(VarNext))) <=> ![VarNext: $i] : (v157(VarNext) <=> v193(VarNext))),
% 13.42/8.68 inference(quant_intro,[status(thm)],[7])).
% 13.42/8.68 tff(9,axiom,(![VarNext: $i] : ($true => (v157(VarNext) <=> v193(VarNext)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','addConditionBooleanCondEqualRangesThenBranch_6')).
% 13.42/8.68 tff(10,plain,
% 13.42/8.68 (![VarNext: $i] : (v157(VarNext) <=> v193(VarNext))),
% 13.42/8.68 inference(modus_ponens,[status(thm)],[9, 8])).
% 13.42/8.68 tff(11,plain,
% 13.42/8.68 (![VarNext: $i] : (v157(VarNext) <=> v193(VarNext))),
% 13.42/8.68 inference(modus_ponens,[status(thm)],[10, 6])).
% 13.42/8.68 tff(12,plain,(
% 13.42/8.68 ![VarNext: $i] : (v157(VarNext) <=> v193(VarNext))),
% 13.42/8.68 inference(skolemize,[status(sab)],[11])).
% 13.42/8.68 tff(13,plain,
% 13.42/8.68 (![VarNext: $i] : (v157(VarNext) <=> v193(VarNext))),
% 13.42/8.68 inference(modus_ponens,[status(thm)],[12, 5])).
% 13.42/8.68 tff(14,plain,
% 13.42/8.68 ((~![VarNext: $i] : (v157(VarNext) <=> v193(VarNext))) | (v157(VarCurr!0) <=> v193(VarCurr!0))),
% 13.42/8.68 inference(quant_inst,[status(thm)],[])).
% 13.42/8.68 tff(15,plain,
% 13.42/8.68 (v157(VarCurr!0) <=> v193(VarCurr!0)),
% 13.42/8.68 inference(unit_resolution,[status(thm)],[14, 13])).
% 13.42/8.68 tff(16,plain,
% 13.42/8.68 (^[VarCurr: $i] : refl((v205(VarCurr) <=> (~((~v206(VarCurr)) | (~v157(VarCurr))))) <=> (v205(VarCurr) <=> (~((~v206(VarCurr)) | (~v157(VarCurr))))))),
% 13.42/8.68 inference(bind,[status(th)],[])).
% 13.42/8.68 tff(17,plain,
% 13.42/8.68 (![VarCurr: $i] : (v205(VarCurr) <=> (~((~v206(VarCurr)) | (~v157(VarCurr))))) <=> ![VarCurr: $i] : (v205(VarCurr) <=> (~((~v206(VarCurr)) | (~v157(VarCurr)))))),
% 13.42/8.68 inference(quant_intro,[status(thm)],[16])).
% 13.42/8.68 tff(18,plain,
% 13.42/8.68 (^[VarCurr: $i] : rewrite((v205(VarCurr) <=> (v206(VarCurr) & v157(VarCurr))) <=> (v205(VarCurr) <=> (~((~v206(VarCurr)) | (~v157(VarCurr))))))),
% 13.42/8.68 inference(bind,[status(th)],[])).
% 13.42/8.68 tff(19,plain,
% 13.42/8.68 (![VarCurr: $i] : (v205(VarCurr) <=> (v206(VarCurr) & v157(VarCurr))) <=> ![VarCurr: $i] : (v205(VarCurr) <=> (~((~v206(VarCurr)) | (~v157(VarCurr)))))),
% 13.42/8.68 inference(quant_intro,[status(thm)],[18])).
% 13.42/8.68 tff(20,plain,
% 13.42/8.68 (![VarCurr: $i] : (v205(VarCurr) <=> (v206(VarCurr) & v157(VarCurr))) <=> ![VarCurr: $i] : (v205(VarCurr) <=> (v206(VarCurr) & v157(VarCurr)))),
% 13.42/8.68 inference(rewrite,[status(thm)],[])).
% 13.42/8.68 tff(21,axiom,(![VarCurr: $i] : (v205(VarCurr) <=> (v206(VarCurr) & v157(VarCurr)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','writeBinaryOperatorEqualRangesSingleBits_53')).
% 13.42/8.68 tff(22,plain,
% 13.42/8.68 (![VarCurr: $i] : (v205(VarCurr) <=> (v206(VarCurr) & v157(VarCurr)))),
% 13.42/8.68 inference(modus_ponens,[status(thm)],[21, 20])).
% 13.42/8.68 tff(23,plain,(
% 13.42/8.68 ![VarCurr: $i] : (v205(VarCurr) <=> (v206(VarCurr) & v157(VarCurr)))),
% 13.42/8.68 inference(skolemize,[status(sab)],[22])).
% 13.42/8.68 tff(24,plain,
% 13.42/8.68 (![VarCurr: $i] : (v205(VarCurr) <=> (~((~v206(VarCurr)) | (~v157(VarCurr)))))),
% 13.42/8.68 inference(modus_ponens,[status(thm)],[23, 19])).
% 13.42/8.68 tff(25,plain,
% 13.42/8.68 (![VarCurr: $i] : (v205(VarCurr) <=> (~((~v206(VarCurr)) | (~v157(VarCurr)))))),
% 13.42/8.68 inference(modus_ponens,[status(thm)],[24, 17])).
% 13.42/8.68 tff(26,plain,
% 13.42/8.68 ((~![VarCurr: $i] : (v205(VarCurr) <=> (~((~v206(VarCurr)) | (~v157(VarCurr)))))) | (v205(VarCurr!0) <=> (~((~v206(VarCurr!0)) | (~v157(VarCurr!0)))))),
% 13.42/8.68 inference(quant_inst,[status(thm)],[])).
% 13.42/8.68 tff(27,plain,
% 13.42/8.68 (v205(VarCurr!0) <=> (~((~v206(VarCurr!0)) | (~v157(VarCurr!0))))),
% 13.42/8.68 inference(unit_resolution,[status(thm)],[26, 25])).
% 13.42/8.68 tff(28,plain,
% 13.42/8.68 (^[VarCurr: $i] : refl(((~v82(VarCurr)) <=> v205(VarCurr)) <=> ((~v82(VarCurr)) <=> v205(VarCurr)))),
% 13.42/8.68 inference(bind,[status(th)],[])).
% 13.42/8.68 tff(29,plain,
% 13.42/8.68 (![VarCurr: $i] : ((~v82(VarCurr)) <=> v205(VarCurr)) <=> ![VarCurr: $i] : ((~v82(VarCurr)) <=> v205(VarCurr))),
% 13.42/8.68 inference(quant_intro,[status(thm)],[28])).
% 13.42/8.68 tff(30,plain,
% 13.42/8.68 (![VarCurr: $i] : ((~v82(VarCurr)) <=> v205(VarCurr)) <=> ![VarCurr: $i] : ((~v82(VarCurr)) <=> v205(VarCurr))),
% 13.42/8.68 inference(rewrite,[status(thm)],[])).
% 13.42/8.68 tff(31,axiom,(![VarCurr: $i] : ((~v82(VarCurr)) <=> v205(VarCurr))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','writeUnaryOperator_18')).
% 13.42/8.68 tff(32,plain,
% 13.42/8.68 (![VarCurr: $i] : ((~v82(VarCurr)) <=> v205(VarCurr))),
% 13.42/8.68 inference(modus_ponens,[status(thm)],[31, 30])).
% 13.42/8.68 tff(33,plain,(
% 13.42/8.68 ![VarCurr: $i] : ((~v82(VarCurr)) <=> v205(VarCurr))),
% 13.42/8.68 inference(skolemize,[status(sab)],[32])).
% 13.42/8.68 tff(34,plain,
% 13.42/8.68 (![VarCurr: $i] : ((~v82(VarCurr)) <=> v205(VarCurr))),
% 13.42/8.68 inference(modus_ponens,[status(thm)],[33, 29])).
% 13.42/8.68 tff(35,plain,
% 13.42/8.68 ((~![VarCurr: $i] : ((~v82(VarCurr)) <=> v205(VarCurr))) | ((~v82(VarCurr!0)) <=> v205(VarCurr!0))),
% 13.42/8.68 inference(quant_inst,[status(thm)],[])).
% 13.42/8.68 tff(36,plain,
% 13.42/8.68 ((~v82(VarCurr!0)) <=> v205(VarCurr!0)),
% 13.42/8.68 inference(unit_resolution,[status(thm)],[35, 34])).
% 13.42/8.68 tff(37,plain,
% 13.42/8.68 ((~![VarCurr: $i] : (v82(VarCurr) | (~reachableState(VarCurr)))) <=> (~![VarCurr: $i] : (v82(VarCurr) | (~reachableState(VarCurr))))),
% 13.42/8.68 inference(rewrite,[status(thm)],[])).
% 13.42/8.68 tff(38,plain,
% 13.42/8.68 ((~![VarCurr: $i] : (reachableState(VarCurr) => v82(VarCurr))) <=> (~![VarCurr: $i] : (v82(VarCurr) | (~reachableState(VarCurr))))),
% 13.42/8.68 inference(rewrite,[status(thm)],[])).
% 13.42/8.68 tff(39,axiom,(~![VarCurr: $i] : (reachableState(VarCurr) => v82(VarCurr))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','addAssertion')).
% 13.42/8.68 tff(40,plain,
% 13.42/8.68 (~![VarCurr: $i] : (v82(VarCurr) | (~reachableState(VarCurr)))),
% 13.42/8.68 inference(modus_ponens,[status(thm)],[39, 38])).
% 13.42/8.68 tff(41,plain,
% 13.42/8.68 (~![VarCurr: $i] : (v82(VarCurr) | (~reachableState(VarCurr)))),
% 13.42/8.68 inference(modus_ponens,[status(thm)],[40, 37])).
% 13.42/8.68 tff(42,plain,
% 13.42/8.68 (~![VarCurr: $i] : (v82(VarCurr) | (~reachableState(VarCurr)))),
% 13.42/8.68 inference(modus_ponens,[status(thm)],[41, 37])).
% 13.42/8.68 tff(43,plain,
% 13.42/8.68 (~![VarCurr: $i] : (v82(VarCurr) | (~reachableState(VarCurr)))),
% 13.42/8.68 inference(modus_ponens,[status(thm)],[42, 37])).
% 13.42/8.68 tff(44,plain,
% 13.42/8.68 (~![VarCurr: $i] : (v82(VarCurr) | (~reachableState(VarCurr)))),
% 13.42/8.68 inference(modus_ponens,[status(thm)],[43, 37])).
% 13.42/8.68 tff(45,plain,
% 13.42/8.68 (~![VarCurr: $i] : (v82(VarCurr) | (~reachableState(VarCurr)))),
% 13.50/8.68 inference(modus_ponens,[status(thm)],[44, 37])).
% 13.50/8.68 tff(46,plain,
% 13.50/8.68 (~![VarCurr: $i] : (v82(VarCurr) | (~reachableState(VarCurr)))),
% 13.50/8.68 inference(modus_ponens,[status(thm)],[45, 37])).
% 13.50/8.68 tff(47,plain,(
% 13.50/8.68 ~(v82(VarCurr!0) | (~reachableState(VarCurr!0)))),
% 13.50/8.68 inference(skolemize,[status(sab)],[46])).
% 13.50/8.68 tff(48,plain,
% 13.50/8.68 (~v82(VarCurr!0)),
% 13.50/8.68 inference(or_elim,[status(thm)],[47])).
% 13.50/8.68 tff(49,plain,
% 13.50/8.68 ((~((~v82(VarCurr!0)) <=> v205(VarCurr!0))) | v82(VarCurr!0) | v205(VarCurr!0)),
% 13.50/8.68 inference(tautology,[status(thm)],[])).
% 13.50/8.68 tff(50,plain,
% 13.50/8.68 ((~((~v82(VarCurr!0)) <=> v205(VarCurr!0))) | v205(VarCurr!0)),
% 13.50/8.68 inference(unit_resolution,[status(thm)],[49, 48])).
% 13.50/8.68 tff(51,plain,
% 13.50/8.68 (v205(VarCurr!0)),
% 13.50/8.68 inference(unit_resolution,[status(thm)],[50, 36])).
% 13.50/8.68 tff(52,plain,
% 13.50/8.68 ((~(v205(VarCurr!0) <=> (~((~v206(VarCurr!0)) | (~v157(VarCurr!0)))))) | (~v205(VarCurr!0)) | (~((~v206(VarCurr!0)) | (~v157(VarCurr!0))))),
% 13.50/8.68 inference(tautology,[status(thm)],[])).
% 13.50/8.68 tff(53,plain,
% 13.50/8.68 ((~(v205(VarCurr!0) <=> (~((~v206(VarCurr!0)) | (~v157(VarCurr!0)))))) | (~((~v206(VarCurr!0)) | (~v157(VarCurr!0))))),
% 13.50/8.68 inference(unit_resolution,[status(thm)],[52, 51])).
% 13.50/8.68 tff(54,plain,
% 13.50/8.68 (~((~v206(VarCurr!0)) | (~v157(VarCurr!0)))),
% 13.50/8.68 inference(unit_resolution,[status(thm)],[53, 27])).
% 13.50/8.68 tff(55,plain,
% 13.50/8.68 (((~v206(VarCurr!0)) | (~v157(VarCurr!0))) | v157(VarCurr!0)),
% 13.50/8.68 inference(tautology,[status(thm)],[])).
% 13.50/8.68 tff(56,plain,
% 13.50/8.68 (v157(VarCurr!0)),
% 13.50/8.68 inference(unit_resolution,[status(thm)],[55, 54])).
% 13.50/8.68 tff(57,plain,
% 13.50/8.68 ((~(v157(VarCurr!0) <=> v193(VarCurr!0))) | (~v157(VarCurr!0)) | v193(VarCurr!0)),
% 13.50/8.68 inference(tautology,[status(thm)],[])).
% 13.50/8.68 tff(58,plain,
% 13.50/8.68 ((~(v157(VarCurr!0) <=> v193(VarCurr!0))) | v193(VarCurr!0)),
% 13.50/8.68 inference(unit_resolution,[status(thm)],[57, 56])).
% 13.50/8.68 tff(59,plain,
% 13.50/8.68 (v193(VarCurr!0)),
% 13.50/8.68 inference(unit_resolution,[status(thm)],[58, 15])).
% 13.50/8.68 tff(60,plain,
% 13.50/8.68 (v193(constB97)),
% 13.50/8.68 inference(modus_ponens,[status(thm)],[59, 3])).
% 13.50/8.68 tff(61,plain,
% 13.50/8.68 (^[VarCurr: $i, VarNext: $i] : refl(((~nextState(VarCurr, VarNext)) | (v193(VarNext) <=> v191(VarCurr))) <=> ((~nextState(VarCurr, VarNext)) | (v193(VarNext) <=> v191(VarCurr))))),
% 13.50/8.68 inference(bind,[status(th)],[])).
% 13.50/8.68 tff(62,plain,
% 13.50/8.68 (![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v193(VarNext) <=> v191(VarCurr))) <=> ![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v193(VarNext) <=> v191(VarCurr)))),
% 13.50/8.68 inference(quant_intro,[status(thm)],[61])).
% 13.50/8.68 tff(63,plain,
% 13.50/8.68 (![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v193(VarNext) <=> v191(VarCurr))) <=> ![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v193(VarNext) <=> v191(VarCurr)))),
% 13.50/8.68 inference(rewrite,[status(thm)],[])).
% 13.50/8.68 tff(64,plain,
% 13.50/8.68 (^[VarCurr: $i, VarNext: $i] : rewrite((nextState(VarCurr, VarNext) => (v193(VarNext) <=> v191(VarCurr))) <=> ((~nextState(VarCurr, VarNext)) | (v193(VarNext) <=> v191(VarCurr))))),
% 13.50/8.68 inference(bind,[status(th)],[])).
% 13.50/8.68 tff(65,plain,
% 13.50/8.68 (![VarCurr: $i, VarNext: $i] : (nextState(VarCurr, VarNext) => (v193(VarNext) <=> v191(VarCurr))) <=> ![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v193(VarNext) <=> v191(VarCurr)))),
% 13.50/8.68 inference(quant_intro,[status(thm)],[64])).
% 13.50/8.68 tff(66,axiom,(![VarCurr: $i, VarNext: $i] : (nextState(VarCurr, VarNext) => (v193(VarNext) <=> v191(VarCurr)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','addAssignment_12')).
% 13.50/8.68 tff(67,plain,
% 13.50/8.68 (![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v193(VarNext) <=> v191(VarCurr)))),
% 13.50/8.68 inference(modus_ponens,[status(thm)],[66, 65])).
% 13.50/8.68 tff(68,plain,
% 13.50/8.68 (![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v193(VarNext) <=> v191(VarCurr)))),
% 13.50/8.68 inference(modus_ponens,[status(thm)],[67, 63])).
% 13.50/8.68 tff(69,plain,(
% 13.50/8.68 ![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v193(VarNext) <=> v191(VarCurr)))),
% 13.50/8.68 inference(skolemize,[status(sab)],[68])).
% 13.50/8.68 tff(70,plain,
% 13.50/8.68 (![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v193(VarNext) <=> v191(VarCurr)))),
% 13.50/8.68 inference(modus_ponens,[status(thm)],[69, 62])).
% 13.50/8.68 tff(71,plain,
% 13.50/8.68 (nextState(constB96, constB97) <=> nextState(constB96, constB97)),
% 13.50/8.68 inference(rewrite,[status(thm)],[])).
% 13.50/8.68 tff(72,axiom,(nextState(constB96, constB97)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_96')).
% 13.50/8.68 tff(73,plain,
% 13.50/8.68 (nextState(constB96, constB97)),
% 13.50/8.68 inference(modus_ponens,[status(thm)],[72, 71])).
% 13.50/8.68 tff(74,plain,
% 13.50/8.68 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v193(VarNext) <=> v191(VarCurr)))) | ((~nextState(constB96, constB97)) | (v193(constB97) <=> v191(constB96)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v193(VarNext) <=> v191(VarCurr)))) | (~nextState(constB96, constB97)) | (v193(constB97) <=> v191(constB96)))),
% 13.50/8.68 inference(rewrite,[status(thm)],[])).
% 13.50/8.68 tff(75,plain,
% 13.50/8.68 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v193(VarNext) <=> v191(VarCurr)))) | ((~nextState(constB96, constB97)) | (v193(constB97) <=> v191(constB96)))),
% 13.50/8.68 inference(quant_inst,[status(thm)],[])).
% 13.50/8.68 tff(76,plain,
% 13.50/8.68 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v193(VarNext) <=> v191(VarCurr)))) | (~nextState(constB96, constB97)) | (v193(constB97) <=> v191(constB96))),
% 13.50/8.68 inference(modus_ponens,[status(thm)],[75, 74])).
% 13.50/8.68 tff(77,plain,
% 13.50/8.68 (v193(constB97) <=> v191(constB96)),
% 13.50/8.68 inference(unit_resolution,[status(thm)],[76, 73, 70])).
% 13.50/8.68 tff(78,plain,
% 13.50/8.68 (^[VarCurr: $i] : refl((v191(VarCurr) <=> (v194(VarCurr) | v198(VarCurr))) <=> (v191(VarCurr) <=> (v194(VarCurr) | v198(VarCurr))))),
% 13.50/8.68 inference(bind,[status(th)],[])).
% 13.50/8.68 tff(79,plain,
% 13.50/8.68 (![VarCurr: $i] : (v191(VarCurr) <=> (v194(VarCurr) | v198(VarCurr))) <=> ![VarCurr: $i] : (v191(VarCurr) <=> (v194(VarCurr) | v198(VarCurr)))),
% 13.50/8.68 inference(quant_intro,[status(thm)],[78])).
% 13.50/8.68 tff(80,plain,
% 13.50/8.68 (![VarCurr: $i] : (v191(VarCurr) <=> (v194(VarCurr) | v198(VarCurr))) <=> ![VarCurr: $i] : (v191(VarCurr) <=> (v194(VarCurr) | v198(VarCurr)))),
% 13.50/8.68 inference(rewrite,[status(thm)],[])).
% 13.50/8.68 tff(81,axiom,(![VarCurr: $i] : (v191(VarCurr) <=> (v194(VarCurr) | v198(VarCurr)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','writeBinaryOperatorEqualRangesSingleBits_50')).
% 13.50/8.68 tff(82,plain,
% 13.50/8.68 (![VarCurr: $i] : (v191(VarCurr) <=> (v194(VarCurr) | v198(VarCurr)))),
% 13.50/8.68 inference(modus_ponens,[status(thm)],[81, 80])).
% 13.50/8.68 tff(83,plain,(
% 13.50/8.68 ![VarCurr: $i] : (v191(VarCurr) <=> (v194(VarCurr) | v198(VarCurr)))),
% 13.50/8.68 inference(skolemize,[status(sab)],[82])).
% 13.50/8.68 tff(84,plain,
% 13.50/8.68 (![VarCurr: $i] : (v191(VarCurr) <=> (v194(VarCurr) | v198(VarCurr)))),
% 13.50/8.68 inference(modus_ponens,[status(thm)],[83, 79])).
% 13.50/8.68 tff(85,plain,
% 13.50/8.68 ((~![VarCurr: $i] : (v191(VarCurr) <=> (v194(VarCurr) | v198(VarCurr)))) | (v191(constB96) <=> (v194(constB96) | v198(constB96)))),
% 13.50/8.68 inference(quant_inst,[status(thm)],[])).
% 13.50/8.68 tff(86,plain,
% 13.50/8.68 (v191(constB96) <=> (v194(constB96) | v198(constB96))),
% 13.50/8.68 inference(unit_resolution,[status(thm)],[85, 84])).
% 13.50/8.68 tff(87,plain,
% 13.50/8.68 (^[VarCurr: $i] : refl((v198(VarCurr) <=> (~((~v199(VarCurr)) | (~v200(VarCurr))))) <=> (v198(VarCurr) <=> (~((~v199(VarCurr)) | (~v200(VarCurr))))))),
% 13.50/8.68 inference(bind,[status(th)],[])).
% 13.50/8.68 tff(88,plain,
% 13.50/8.68 (![VarCurr: $i] : (v198(VarCurr) <=> (~((~v199(VarCurr)) | (~v200(VarCurr))))) <=> ![VarCurr: $i] : (v198(VarCurr) <=> (~((~v199(VarCurr)) | (~v200(VarCurr)))))),
% 13.50/8.68 inference(quant_intro,[status(thm)],[87])).
% 13.50/8.68 tff(89,plain,
% 13.50/8.68 (^[VarCurr: $i] : rewrite((v198(VarCurr) <=> (v199(VarCurr) & v200(VarCurr))) <=> (v198(VarCurr) <=> (~((~v199(VarCurr)) | (~v200(VarCurr))))))),
% 13.50/8.68 inference(bind,[status(th)],[])).
% 13.50/8.68 tff(90,plain,
% 13.50/8.68 (![VarCurr: $i] : (v198(VarCurr) <=> (v199(VarCurr) & v200(VarCurr))) <=> ![VarCurr: $i] : (v198(VarCurr) <=> (~((~v199(VarCurr)) | (~v200(VarCurr)))))),
% 13.50/8.68 inference(quant_intro,[status(thm)],[89])).
% 13.50/8.68 tff(91,plain,
% 13.50/8.68 (![VarCurr: $i] : (v198(VarCurr) <=> (v199(VarCurr) & v200(VarCurr))) <=> ![VarCurr: $i] : (v198(VarCurr) <=> (v199(VarCurr) & v200(VarCurr)))),
% 13.50/8.68 inference(rewrite,[status(thm)],[])).
% 13.50/8.68 tff(92,axiom,(![VarCurr: $i] : (v198(VarCurr) <=> (v199(VarCurr) & v200(VarCurr)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','writeBinaryOperatorEqualRangesSingleBits_49')).
% 13.50/8.69 tff(93,plain,
% 13.50/8.69 (![VarCurr: $i] : (v198(VarCurr) <=> (v199(VarCurr) & v200(VarCurr)))),
% 13.50/8.69 inference(modus_ponens,[status(thm)],[92, 91])).
% 13.50/8.69 tff(94,plain,(
% 13.50/8.69 ![VarCurr: $i] : (v198(VarCurr) <=> (v199(VarCurr) & v200(VarCurr)))),
% 13.50/8.69 inference(skolemize,[status(sab)],[93])).
% 13.50/8.69 tff(95,plain,
% 13.50/8.69 (![VarCurr: $i] : (v198(VarCurr) <=> (~((~v199(VarCurr)) | (~v200(VarCurr)))))),
% 13.50/8.69 inference(modus_ponens,[status(thm)],[94, 90])).
% 13.50/8.69 tff(96,plain,
% 13.50/8.69 (![VarCurr: $i] : (v198(VarCurr) <=> (~((~v199(VarCurr)) | (~v200(VarCurr)))))),
% 13.50/8.69 inference(modus_ponens,[status(thm)],[95, 88])).
% 13.50/8.69 tff(97,plain,
% 13.50/8.69 ((~![VarCurr: $i] : (v198(VarCurr) <=> (~((~v199(VarCurr)) | (~v200(VarCurr)))))) | (v198(constB96) <=> (~((~v199(constB96)) | (~v200(constB96)))))),
% 13.50/8.69 inference(quant_inst,[status(thm)],[])).
% 13.50/8.69 tff(98,plain,
% 13.50/8.69 (v198(constB96) <=> (~((~v199(constB96)) | (~v200(constB96))))),
% 13.50/8.69 inference(unit_resolution,[status(thm)],[97, 96])).
% 13.50/8.69 tff(99,plain,
% 13.50/8.69 (^[VarCurr: $i] : refl((v200(VarCurr) <=> (~((~v197(VarCurr)) | (~v201(VarCurr))))) <=> (v200(VarCurr) <=> (~((~v197(VarCurr)) | (~v201(VarCurr))))))),
% 13.50/8.69 inference(bind,[status(th)],[])).
% 13.50/8.69 tff(100,plain,
% 13.50/8.69 (![VarCurr: $i] : (v200(VarCurr) <=> (~((~v197(VarCurr)) | (~v201(VarCurr))))) <=> ![VarCurr: $i] : (v200(VarCurr) <=> (~((~v197(VarCurr)) | (~v201(VarCurr)))))),
% 13.50/8.69 inference(quant_intro,[status(thm)],[99])).
% 13.50/8.69 tff(101,plain,
% 13.50/8.69 (^[VarCurr: $i] : rewrite((v200(VarCurr) <=> (v197(VarCurr) & v201(VarCurr))) <=> (v200(VarCurr) <=> (~((~v197(VarCurr)) | (~v201(VarCurr))))))),
% 13.50/8.69 inference(bind,[status(th)],[])).
% 13.50/8.69 tff(102,plain,
% 13.50/8.69 (![VarCurr: $i] : (v200(VarCurr) <=> (v197(VarCurr) & v201(VarCurr))) <=> ![VarCurr: $i] : (v200(VarCurr) <=> (~((~v197(VarCurr)) | (~v201(VarCurr)))))),
% 13.50/8.69 inference(quant_intro,[status(thm)],[101])).
% 13.50/8.69 tff(103,plain,
% 13.50/8.69 (![VarCurr: $i] : (v200(VarCurr) <=> (v197(VarCurr) & v201(VarCurr))) <=> ![VarCurr: $i] : (v200(VarCurr) <=> (v197(VarCurr) & v201(VarCurr)))),
% 13.50/8.69 inference(rewrite,[status(thm)],[])).
% 13.50/8.69 tff(104,axiom,(![VarCurr: $i] : (v200(VarCurr) <=> (v197(VarCurr) & v201(VarCurr)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','writeBinaryOperatorEqualRangesSingleBits_48')).
% 13.50/8.69 tff(105,plain,
% 13.50/8.69 (![VarCurr: $i] : (v200(VarCurr) <=> (v197(VarCurr) & v201(VarCurr)))),
% 13.50/8.69 inference(modus_ponens,[status(thm)],[104, 103])).
% 13.50/8.69 tff(106,plain,(
% 13.50/8.69 ![VarCurr: $i] : (v200(VarCurr) <=> (v197(VarCurr) & v201(VarCurr)))),
% 13.50/8.69 inference(skolemize,[status(sab)],[105])).
% 13.50/8.69 tff(107,plain,
% 13.50/8.69 (![VarCurr: $i] : (v200(VarCurr) <=> (~((~v197(VarCurr)) | (~v201(VarCurr)))))),
% 13.50/8.69 inference(modus_ponens,[status(thm)],[106, 102])).
% 13.50/8.69 tff(108,plain,
% 13.50/8.69 (![VarCurr: $i] : (v200(VarCurr) <=> (~((~v197(VarCurr)) | (~v201(VarCurr)))))),
% 13.50/8.69 inference(modus_ponens,[status(thm)],[107, 100])).
% 13.50/8.69 tff(109,plain,
% 13.50/8.69 ((~![VarCurr: $i] : (v200(VarCurr) <=> (~((~v197(VarCurr)) | (~v201(VarCurr)))))) | (v200(constB96) <=> (~((~v197(constB96)) | (~v201(constB96)))))),
% 13.50/8.69 inference(quant_inst,[status(thm)],[])).
% 13.50/8.69 tff(110,plain,
% 13.50/8.69 (v200(constB96) <=> (~((~v197(constB96)) | (~v201(constB96))))),
% 13.50/8.69 inference(unit_resolution,[status(thm)],[109, 108])).
% 13.50/8.69 tff(111,plain,
% 13.50/8.69 (^[VarCurr: $i] : refl((v197(VarCurr) <=> (~((~v39(VarCurr)) | (~v9(VarCurr))))) <=> (v197(VarCurr) <=> (~((~v39(VarCurr)) | (~v9(VarCurr))))))),
% 13.50/8.69 inference(bind,[status(th)],[])).
% 13.50/8.69 tff(112,plain,
% 13.50/8.69 (![VarCurr: $i] : (v197(VarCurr) <=> (~((~v39(VarCurr)) | (~v9(VarCurr))))) <=> ![VarCurr: $i] : (v197(VarCurr) <=> (~((~v39(VarCurr)) | (~v9(VarCurr)))))),
% 13.50/8.69 inference(quant_intro,[status(thm)],[111])).
% 13.50/8.69 tff(113,plain,
% 13.50/8.69 (^[VarCurr: $i] : rewrite((v197(VarCurr) <=> (v39(VarCurr) & v9(VarCurr))) <=> (v197(VarCurr) <=> (~((~v39(VarCurr)) | (~v9(VarCurr))))))),
% 13.50/8.69 inference(bind,[status(th)],[])).
% 13.50/8.69 tff(114,plain,
% 13.50/8.69 (![VarCurr: $i] : (v197(VarCurr) <=> (v39(VarCurr) & v9(VarCurr))) <=> ![VarCurr: $i] : (v197(VarCurr) <=> (~((~v39(VarCurr)) | (~v9(VarCurr)))))),
% 13.50/8.69 inference(quant_intro,[status(thm)],[113])).
% 13.50/8.69 tff(115,plain,
% 13.50/8.69 (![VarCurr: $i] : (v197(VarCurr) <=> (v39(VarCurr) & v9(VarCurr))) <=> ![VarCurr: $i] : (v197(VarCurr) <=> (v39(VarCurr) & v9(VarCurr)))),
% 13.50/8.69 inference(rewrite,[status(thm)],[])).
% 13.50/8.69 tff(116,axiom,(![VarCurr: $i] : (v197(VarCurr) <=> (v39(VarCurr) & v9(VarCurr)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','writeBinaryOperatorEqualRangesSingleBits_44')).
% 13.50/8.69 tff(117,plain,
% 13.50/8.69 (![VarCurr: $i] : (v197(VarCurr) <=> (v39(VarCurr) & v9(VarCurr)))),
% 13.50/8.69 inference(modus_ponens,[status(thm)],[116, 115])).
% 13.50/8.69 tff(118,plain,(
% 13.50/8.69 ![VarCurr: $i] : (v197(VarCurr) <=> (v39(VarCurr) & v9(VarCurr)))),
% 13.50/8.69 inference(skolemize,[status(sab)],[117])).
% 13.50/8.69 tff(119,plain,
% 13.50/8.69 (![VarCurr: $i] : (v197(VarCurr) <=> (~((~v39(VarCurr)) | (~v9(VarCurr)))))),
% 13.50/8.69 inference(modus_ponens,[status(thm)],[118, 114])).
% 13.50/8.69 tff(120,plain,
% 13.50/8.69 (![VarCurr: $i] : (v197(VarCurr) <=> (~((~v39(VarCurr)) | (~v9(VarCurr)))))),
% 13.50/8.69 inference(modus_ponens,[status(thm)],[119, 112])).
% 13.50/8.69 tff(121,plain,
% 13.50/8.69 ((~![VarCurr: $i] : (v197(VarCurr) <=> (~((~v39(VarCurr)) | (~v9(VarCurr)))))) | (v197(constB96) <=> (~((~v39(constB96)) | (~v9(constB96)))))),
% 13.50/8.69 inference(quant_inst,[status(thm)],[])).
% 13.50/8.69 tff(122,plain,
% 13.50/8.69 (v197(constB96) <=> (~((~v39(constB96)) | (~v9(constB96))))),
% 13.50/8.69 inference(unit_resolution,[status(thm)],[121, 120])).
% 13.50/8.69 tff(123,plain,
% 13.50/8.69 (^[VarCurr: $i] : refl(((~v39(VarCurr)) <=> v1(VarCurr)) <=> ((~v39(VarCurr)) <=> v1(VarCurr)))),
% 13.50/8.69 inference(bind,[status(th)],[])).
% 13.50/8.69 tff(124,plain,
% 13.50/8.69 (![VarCurr: $i] : ((~v39(VarCurr)) <=> v1(VarCurr)) <=> ![VarCurr: $i] : ((~v39(VarCurr)) <=> v1(VarCurr))),
% 13.50/8.69 inference(quant_intro,[status(thm)],[123])).
% 13.50/8.69 tff(125,plain,
% 13.50/8.69 (![VarCurr: $i] : ((~v39(VarCurr)) <=> v1(VarCurr)) <=> ![VarCurr: $i] : ((~v39(VarCurr)) <=> v1(VarCurr))),
% 13.50/8.69 inference(rewrite,[status(thm)],[])).
% 13.50/8.69 tff(126,axiom,(![VarCurr: $i] : ((~v39(VarCurr)) <=> v1(VarCurr))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','writeUnaryOperator_3')).
% 13.50/8.69 tff(127,plain,
% 13.50/8.69 (![VarCurr: $i] : ((~v39(VarCurr)) <=> v1(VarCurr))),
% 13.50/8.69 inference(modus_ponens,[status(thm)],[126, 125])).
% 13.50/8.69 tff(128,plain,(
% 13.50/8.69 ![VarCurr: $i] : ((~v39(VarCurr)) <=> v1(VarCurr))),
% 13.50/8.69 inference(skolemize,[status(sab)],[127])).
% 13.50/8.69 tff(129,plain,
% 13.50/8.69 (![VarCurr: $i] : ((~v39(VarCurr)) <=> v1(VarCurr))),
% 13.50/8.69 inference(modus_ponens,[status(thm)],[128, 124])).
% 13.50/8.69 tff(130,plain,
% 13.50/8.69 ((~![VarCurr: $i] : ((~v39(VarCurr)) <=> v1(VarCurr))) | ((~v39(constB96)) <=> v1(constB96))),
% 13.50/8.69 inference(quant_inst,[status(thm)],[])).
% 13.50/8.69 tff(131,plain,
% 13.50/8.69 ((~v39(constB96)) <=> v1(constB96)),
% 13.50/8.69 inference(unit_resolution,[status(thm)],[130, 129])).
% 13.50/8.69 tff(132,plain,
% 13.50/8.69 (v1(constB96) <=> v1(constB96)),
% 13.50/8.69 inference(rewrite,[status(thm)],[])).
% 13.50/8.69 tff(133,axiom,(v1(constB96)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_96')).
% 13.50/8.69 tff(134,plain,
% 13.50/8.69 (v1(constB96)),
% 13.50/8.69 inference(modus_ponens,[status(thm)],[133, 132])).
% 13.50/8.69 tff(135,plain,
% 13.50/8.69 ((~((~v39(constB96)) <=> v1(constB96))) | (~v39(constB96)) | (~v1(constB96))),
% 13.50/8.69 inference(tautology,[status(thm)],[])).
% 13.50/8.69 tff(136,plain,
% 13.50/8.69 ((~((~v39(constB96)) <=> v1(constB96))) | (~v39(constB96))),
% 13.50/8.69 inference(unit_resolution,[status(thm)],[135, 134])).
% 13.50/8.69 tff(137,plain,
% 13.50/8.69 (~v39(constB96)),
% 13.50/8.69 inference(unit_resolution,[status(thm)],[136, 131])).
% 13.50/8.69 tff(138,plain,
% 13.50/8.69 (((~v39(constB96)) | (~v9(constB96))) | v39(constB96)),
% 13.50/8.69 inference(tautology,[status(thm)],[])).
% 13.50/8.69 tff(139,plain,
% 13.50/8.69 ((~v39(constB96)) | (~v9(constB96))),
% 13.50/8.69 inference(unit_resolution,[status(thm)],[138, 137])).
% 13.50/8.69 tff(140,plain,
% 13.50/8.69 ((~(v197(constB96) <=> (~((~v39(constB96)) | (~v9(constB96)))))) | (~v197(constB96)) | (~((~v39(constB96)) | (~v9(constB96))))),
% 13.50/8.69 inference(tautology,[status(thm)],[])).
% 13.50/8.69 tff(141,plain,
% 13.50/8.69 ((~(v197(constB96) <=> (~((~v39(constB96)) | (~v9(constB96)))))) | (~v197(constB96))),
% 13.50/8.69 inference(unit_resolution,[status(thm)],[140, 139])).
% 13.50/8.69 tff(142,plain,
% 13.50/8.69 (~v197(constB96)),
% 13.50/8.69 inference(unit_resolution,[status(thm)],[141, 122])).
% 13.50/8.69 tff(143,plain,
% 13.50/8.69 (((~v197(constB96)) | (~v201(constB96))) | v197(constB96)),
% 13.50/8.69 inference(tautology,[status(thm)],[])).
% 13.50/8.69 tff(144,plain,
% 13.50/8.69 ((~v197(constB96)) | (~v201(constB96))),
% 13.50/8.69 inference(unit_resolution,[status(thm)],[143, 142])).
% 13.50/8.69 tff(145,plain,
% 13.50/8.69 ((~(v200(constB96) <=> (~((~v197(constB96)) | (~v201(constB96)))))) | (~v200(constB96)) | (~((~v197(constB96)) | (~v201(constB96))))),
% 13.50/8.69 inference(tautology,[status(thm)],[])).
% 13.50/8.69 tff(146,plain,
% 13.50/8.69 ((~(v200(constB96) <=> (~((~v197(constB96)) | (~v201(constB96)))))) | (~v200(constB96))),
% 13.50/8.69 inference(unit_resolution,[status(thm)],[145, 144])).
% 13.50/8.69 tff(147,plain,
% 13.50/8.69 (~v200(constB96)),
% 13.50/8.69 inference(unit_resolution,[status(thm)],[146, 110])).
% 13.50/8.69 tff(148,plain,
% 13.50/8.69 (((~v199(constB96)) | (~v200(constB96))) | v200(constB96)),
% 13.50/8.69 inference(tautology,[status(thm)],[])).
% 13.50/8.69 tff(149,plain,
% 13.50/8.69 ((~v199(constB96)) | (~v200(constB96))),
% 13.50/8.69 inference(unit_resolution,[status(thm)],[148, 147])).
% 13.50/8.69 tff(150,plain,
% 13.50/8.69 ((~(v198(constB96) <=> (~((~v199(constB96)) | (~v200(constB96)))))) | (~v198(constB96)) | (~((~v199(constB96)) | (~v200(constB96))))),
% 13.50/8.69 inference(tautology,[status(thm)],[])).
% 13.50/8.69 tff(151,plain,
% 13.50/8.69 (~v198(constB96)),
% 13.50/8.69 inference(unit_resolution,[status(thm)],[150, 149, 98])).
% 13.50/8.69 tff(152,plain,
% 13.50/8.69 (^[VarCurr: $i] : refl((v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr))))) <=> (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr))))))),
% 13.50/8.69 inference(bind,[status(th)],[])).
% 13.50/8.69 tff(153,plain,
% 13.50/8.69 (![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr))))) <=> ![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))),
% 13.50/8.69 inference(quant_intro,[status(thm)],[152])).
% 13.50/8.69 tff(154,plain,
% 13.50/8.69 (^[VarCurr: $i] : rewrite((v194(VarCurr) <=> (v195(VarCurr) & v157(VarCurr))) <=> (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr))))))),
% 13.50/8.69 inference(bind,[status(th)],[])).
% 13.50/8.69 tff(155,plain,
% 13.50/8.69 (![VarCurr: $i] : (v194(VarCurr) <=> (v195(VarCurr) & v157(VarCurr))) <=> ![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))),
% 13.50/8.69 inference(quant_intro,[status(thm)],[154])).
% 13.50/8.69 tff(156,plain,
% 13.50/8.69 (![VarCurr: $i] : (v194(VarCurr) <=> (v195(VarCurr) & v157(VarCurr))) <=> ![VarCurr: $i] : (v194(VarCurr) <=> (v195(VarCurr) & v157(VarCurr)))),
% 13.50/8.69 inference(rewrite,[status(thm)],[])).
% 13.50/8.69 tff(157,axiom,(![VarCurr: $i] : (v194(VarCurr) <=> (v195(VarCurr) & v157(VarCurr)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','writeBinaryOperatorEqualRangesSingleBits_46')).
% 13.50/8.69 tff(158,plain,
% 13.50/8.69 (![VarCurr: $i] : (v194(VarCurr) <=> (v195(VarCurr) & v157(VarCurr)))),
% 13.50/8.69 inference(modus_ponens,[status(thm)],[157, 156])).
% 13.50/8.69 tff(159,plain,(
% 13.50/8.69 ![VarCurr: $i] : (v194(VarCurr) <=> (v195(VarCurr) & v157(VarCurr)))),
% 13.50/8.69 inference(skolemize,[status(sab)],[158])).
% 13.50/8.69 tff(160,plain,
% 13.50/8.69 (![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))),
% 13.50/8.69 inference(modus_ponens,[status(thm)],[159, 155])).
% 13.50/8.69 tff(161,plain,
% 13.50/8.69 (![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))),
% 13.50/8.69 inference(modus_ponens,[status(thm)],[160, 153])).
% 13.50/8.69 tff(162,plain,
% 13.50/8.69 (((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB96) <=> (~((~v157(constB96)) | (~v195(constB96)))))) <=> ((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB96) <=> (~((~v157(constB96)) | (~v195(constB96))))))),
% 13.50/8.69 inference(rewrite,[status(thm)],[])).
% 13.50/8.69 tff(163,plain,
% 13.50/8.69 ((v194(constB96) <=> (~((~v195(constB96)) | (~v157(constB96))))) <=> (v194(constB96) <=> (~((~v157(constB96)) | (~v195(constB96)))))),
% 13.50/8.69 inference(rewrite,[status(thm)],[])).
% 13.50/8.69 tff(164,plain,
% 13.50/8.69 (((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB96) <=> (~((~v195(constB96)) | (~v157(constB96)))))) <=> ((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB96) <=> (~((~v157(constB96)) | (~v195(constB96))))))),
% 13.50/8.69 inference(monotonicity,[status(thm)],[163])).
% 13.50/8.69 tff(165,plain,
% 13.50/8.69 (((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB96) <=> (~((~v195(constB96)) | (~v157(constB96)))))) <=> ((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB96) <=> (~((~v157(constB96)) | (~v195(constB96))))))),
% 13.50/8.69 inference(transitivity,[status(thm)],[164, 162])).
% 13.50/8.69 tff(166,plain,
% 13.50/8.69 ((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB96) <=> (~((~v195(constB96)) | (~v157(constB96)))))),
% 13.50/8.69 inference(quant_inst,[status(thm)],[])).
% 13.50/8.69 tff(167,plain,
% 13.50/8.69 ((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB96) <=> (~((~v157(constB96)) | (~v195(constB96)))))),
% 13.50/8.69 inference(modus_ponens,[status(thm)],[166, 165])).
% 13.50/8.69 tff(168,plain,
% 13.50/8.69 (v194(constB96) <=> (~((~v157(constB96)) | (~v195(constB96))))),
% 13.50/8.69 inference(unit_resolution,[status(thm)],[167, 161])).
% 13.50/8.69 tff(169,plain,
% 13.50/8.69 ((~![VarNext: $i] : (v157(VarNext) <=> v193(VarNext))) | (v157(constB96) <=> v193(constB96))),
% 13.50/8.69 inference(quant_inst,[status(thm)],[])).
% 13.50/8.69 tff(170,plain,
% 13.50/8.69 (v157(constB96) <=> v193(constB96)),
% 13.50/8.69 inference(unit_resolution,[status(thm)],[169, 13])).
% 13.50/8.69 tff(171,plain,
% 13.50/8.69 (nextState(constB95, constB96) <=> nextState(constB95, constB96)),
% 13.50/8.69 inference(rewrite,[status(thm)],[])).
% 13.50/8.69 tff(172,axiom,(nextState(constB95, constB96)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_95')).
% 13.50/8.69 tff(173,plain,
% 13.50/8.69 (nextState(constB95, constB96)),
% 13.50/8.69 inference(modus_ponens,[status(thm)],[172, 171])).
% 13.50/8.69 tff(174,plain,
% 13.50/8.69 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v193(VarNext) <=> v191(VarCurr)))) | ((~nextState(constB95, constB96)) | (v193(constB96) <=> v191(constB95)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v193(VarNext) <=> v191(VarCurr)))) | (~nextState(constB95, constB96)) | (v193(constB96) <=> v191(constB95)))),
% 13.50/8.69 inference(rewrite,[status(thm)],[])).
% 13.50/8.69 tff(175,plain,
% 13.50/8.69 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v193(VarNext) <=> v191(VarCurr)))) | ((~nextState(constB95, constB96)) | (v193(constB96) <=> v191(constB95)))),
% 13.50/8.69 inference(quant_inst,[status(thm)],[])).
% 13.50/8.69 tff(176,plain,
% 13.50/8.69 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v193(VarNext) <=> v191(VarCurr)))) | (~nextState(constB95, constB96)) | (v193(constB96) <=> v191(constB95))),
% 13.50/8.69 inference(modus_ponens,[status(thm)],[175, 174])).
% 13.50/8.69 tff(177,plain,
% 13.50/8.69 (v193(constB96) <=> v191(constB95)),
% 13.50/8.69 inference(unit_resolution,[status(thm)],[176, 173, 70])).
% 13.50/8.69 tff(178,plain,
% 13.50/8.69 ((~![VarCurr: $i] : (v191(VarCurr) <=> (v194(VarCurr) | v198(VarCurr)))) | (v191(constB95) <=> (v194(constB95) | v198(constB95)))),
% 13.50/8.69 inference(quant_inst,[status(thm)],[])).
% 13.50/8.69 tff(179,plain,
% 13.50/8.69 (v191(constB95) <=> (v194(constB95) | v198(constB95))),
% 13.50/8.69 inference(unit_resolution,[status(thm)],[178, 84])).
% 13.50/8.69 tff(180,plain,
% 13.50/8.69 (((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB95) <=> (~((~v157(constB95)) | (~v195(constB95)))))) <=> ((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB95) <=> (~((~v157(constB95)) | (~v195(constB95))))))),
% 13.50/8.69 inference(rewrite,[status(thm)],[])).
% 13.50/8.69 tff(181,plain,
% 13.50/8.69 ((v194(constB95) <=> (~((~v195(constB95)) | (~v157(constB95))))) <=> (v194(constB95) <=> (~((~v157(constB95)) | (~v195(constB95)))))),
% 13.50/8.69 inference(rewrite,[status(thm)],[])).
% 13.50/8.69 tff(182,plain,
% 13.50/8.69 (((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB95) <=> (~((~v195(constB95)) | (~v157(constB95)))))) <=> ((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB95) <=> (~((~v157(constB95)) | (~v195(constB95))))))),
% 13.50/8.69 inference(monotonicity,[status(thm)],[181])).
% 13.50/8.69 tff(183,plain,
% 13.50/8.69 (((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB95) <=> (~((~v195(constB95)) | (~v157(constB95)))))) <=> ((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB95) <=> (~((~v157(constB95)) | (~v195(constB95))))))),
% 13.50/8.69 inference(transitivity,[status(thm)],[182, 180])).
% 13.51/8.69 tff(184,plain,
% 13.51/8.69 ((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB95) <=> (~((~v195(constB95)) | (~v157(constB95)))))),
% 13.51/8.69 inference(quant_inst,[status(thm)],[])).
% 13.51/8.69 tff(185,plain,
% 13.51/8.69 ((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB95) <=> (~((~v157(constB95)) | (~v195(constB95)))))),
% 13.51/8.69 inference(modus_ponens,[status(thm)],[184, 183])).
% 13.51/8.69 tff(186,plain,
% 13.51/8.69 (v194(constB95) <=> (~((~v157(constB95)) | (~v195(constB95))))),
% 13.51/8.69 inference(unit_resolution,[status(thm)],[185, 161])).
% 13.51/8.69 tff(187,plain,
% 13.51/8.69 (^[VarCurr: $i] : refl(((~v195(VarCurr)) <=> v196(VarCurr)) <=> ((~v195(VarCurr)) <=> v196(VarCurr)))),
% 13.51/8.69 inference(bind,[status(th)],[])).
% 13.51/8.69 tff(188,plain,
% 13.51/8.69 (![VarCurr: $i] : ((~v195(VarCurr)) <=> v196(VarCurr)) <=> ![VarCurr: $i] : ((~v195(VarCurr)) <=> v196(VarCurr))),
% 13.51/8.69 inference(quant_intro,[status(thm)],[187])).
% 13.51/8.69 tff(189,plain,
% 13.51/8.69 (![VarCurr: $i] : ((~v195(VarCurr)) <=> v196(VarCurr)) <=> ![VarCurr: $i] : ((~v195(VarCurr)) <=> v196(VarCurr))),
% 13.51/8.69 inference(rewrite,[status(thm)],[])).
% 13.51/8.69 tff(190,axiom,(![VarCurr: $i] : ((~v195(VarCurr)) <=> v196(VarCurr))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','writeUnaryOperator_15')).
% 13.51/8.69 tff(191,plain,
% 13.51/8.69 (![VarCurr: $i] : ((~v195(VarCurr)) <=> v196(VarCurr))),
% 13.51/8.69 inference(modus_ponens,[status(thm)],[190, 189])).
% 13.51/8.69 tff(192,plain,(
% 13.51/8.69 ![VarCurr: $i] : ((~v195(VarCurr)) <=> v196(VarCurr))),
% 13.51/8.69 inference(skolemize,[status(sab)],[191])).
% 13.51/8.69 tff(193,plain,
% 13.51/8.69 (![VarCurr: $i] : ((~v195(VarCurr)) <=> v196(VarCurr))),
% 13.51/8.69 inference(modus_ponens,[status(thm)],[192, 188])).
% 13.51/8.69 tff(194,plain,
% 13.51/8.69 ((~![VarCurr: $i] : ((~v195(VarCurr)) <=> v196(VarCurr))) | ((~v195(constB95)) <=> v196(constB95))),
% 13.51/8.69 inference(quant_inst,[status(thm)],[])).
% 13.51/8.69 tff(195,plain,
% 13.51/8.69 ((~v195(constB95)) <=> v196(constB95)),
% 13.51/8.69 inference(unit_resolution,[status(thm)],[194, 193])).
% 13.51/8.69 tff(196,plain,
% 13.51/8.69 (^[VarCurr: $i] : refl((v196(VarCurr) <=> (v197(VarCurr) | v26(VarCurr))) <=> (v196(VarCurr) <=> (v197(VarCurr) | v26(VarCurr))))),
% 13.51/8.69 inference(bind,[status(th)],[])).
% 13.51/8.69 tff(197,plain,
% 13.51/8.69 (![VarCurr: $i] : (v196(VarCurr) <=> (v197(VarCurr) | v26(VarCurr))) <=> ![VarCurr: $i] : (v196(VarCurr) <=> (v197(VarCurr) | v26(VarCurr)))),
% 13.51/8.69 inference(quant_intro,[status(thm)],[196])).
% 13.51/8.69 tff(198,plain,
% 13.51/8.69 (![VarCurr: $i] : (v196(VarCurr) <=> (v197(VarCurr) | v26(VarCurr))) <=> ![VarCurr: $i] : (v196(VarCurr) <=> (v197(VarCurr) | v26(VarCurr)))),
% 13.51/8.69 inference(rewrite,[status(thm)],[])).
% 13.51/8.69 tff(199,axiom,(![VarCurr: $i] : (v196(VarCurr) <=> (v197(VarCurr) | v26(VarCurr)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','writeBinaryOperatorEqualRangesSingleBits_45')).
% 13.51/8.69 tff(200,plain,
% 13.51/8.69 (![VarCurr: $i] : (v196(VarCurr) <=> (v197(VarCurr) | v26(VarCurr)))),
% 13.51/8.69 inference(modus_ponens,[status(thm)],[199, 198])).
% 13.51/8.69 tff(201,plain,(
% 13.51/8.69 ![VarCurr: $i] : (v196(VarCurr) <=> (v197(VarCurr) | v26(VarCurr)))),
% 13.51/8.69 inference(skolemize,[status(sab)],[200])).
% 13.51/8.69 tff(202,plain,
% 13.51/8.69 (![VarCurr: $i] : (v196(VarCurr) <=> (v197(VarCurr) | v26(VarCurr)))),
% 13.51/8.69 inference(modus_ponens,[status(thm)],[201, 197])).
% 13.51/8.69 tff(203,plain,
% 13.51/8.69 ((~![VarCurr: $i] : (v196(VarCurr) <=> (v197(VarCurr) | v26(VarCurr)))) | (v196(constB95) <=> (v197(constB95) | v26(constB95)))),
% 13.51/8.69 inference(quant_inst,[status(thm)],[])).
% 13.51/8.69 tff(204,plain,
% 13.51/8.69 (v196(constB95) <=> (v197(constB95) | v26(constB95))),
% 13.51/8.69 inference(unit_resolution,[status(thm)],[203, 202])).
% 13.51/8.69 tff(205,plain,
% 13.51/8.69 ((~![VarCurr: $i] : (v197(VarCurr) <=> (~((~v39(VarCurr)) | (~v9(VarCurr)))))) | (v197(constB95) <=> (~((~v39(constB95)) | (~v9(constB95)))))),
% 13.51/8.69 inference(quant_inst,[status(thm)],[])).
% 13.51/8.69 tff(206,plain,
% 13.51/8.69 (v197(constB95) <=> (~((~v39(constB95)) | (~v9(constB95))))),
% 13.51/8.69 inference(unit_resolution,[status(thm)],[205, 120])).
% 13.51/8.69 tff(207,plain,
% 13.51/8.69 (^[VarCurr: $i, VarNext: $i] : refl(((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr))) <=> ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr))))),
% 13.51/8.69 inference(bind,[status(th)],[])).
% 13.51/8.69 tff(208,plain,
% 13.51/8.70 (![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr))) <=> ![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))),
% 13.51/8.70 inference(quant_intro,[status(thm)],[207])).
% 13.51/8.70 tff(209,plain,
% 13.51/8.70 (![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr))) <=> ![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))),
% 13.51/8.70 inference(rewrite,[status(thm)],[])).
% 13.51/8.70 tff(210,plain,
% 13.51/8.70 (^[VarCurr: $i, VarNext: $i] : rewrite((nextState(VarCurr, VarNext) => (v13(VarNext) <=> v9(VarCurr))) <=> ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr))))),
% 13.51/8.70 inference(bind,[status(th)],[])).
% 13.51/8.70 tff(211,plain,
% 13.51/8.70 (![VarCurr: $i, VarNext: $i] : (nextState(VarCurr, VarNext) => (v13(VarNext) <=> v9(VarCurr))) <=> ![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))),
% 13.51/8.70 inference(quant_intro,[status(thm)],[210])).
% 13.51/8.70 tff(212,axiom,(![VarCurr: $i, VarNext: $i] : (nextState(VarCurr, VarNext) => (v13(VarNext) <=> v9(VarCurr)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','addAssignment')).
% 13.51/8.70 tff(213,plain,
% 13.51/8.70 (![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))),
% 13.51/8.70 inference(modus_ponens,[status(thm)],[212, 211])).
% 13.51/8.70 tff(214,plain,
% 13.51/8.70 (![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))),
% 13.51/8.70 inference(modus_ponens,[status(thm)],[213, 209])).
% 13.51/8.70 tff(215,plain,(
% 13.51/8.70 ![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))),
% 13.51/8.70 inference(skolemize,[status(sab)],[214])).
% 13.51/8.70 tff(216,plain,
% 13.51/8.70 (![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))),
% 13.51/8.70 inference(modus_ponens,[status(thm)],[215, 208])).
% 13.51/8.70 tff(217,plain,
% 13.51/8.70 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | ((~nextState(constB95, constB96)) | (v13(constB96) <=> v9(constB95)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | (~nextState(constB95, constB96)) | (v13(constB96) <=> v9(constB95)))),
% 13.51/8.70 inference(rewrite,[status(thm)],[])).
% 13.51/8.70 tff(218,plain,
% 13.51/8.70 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | ((~nextState(constB95, constB96)) | (v13(constB96) <=> v9(constB95)))),
% 13.51/8.70 inference(quant_inst,[status(thm)],[])).
% 13.51/8.70 tff(219,plain,
% 13.51/8.70 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | (~nextState(constB95, constB96)) | (v13(constB96) <=> v9(constB95))),
% 13.51/8.70 inference(modus_ponens,[status(thm)],[218, 217])).
% 13.51/8.70 tff(220,plain,
% 13.51/8.70 (v13(constB96) <=> v9(constB95)),
% 13.51/8.70 inference(unit_resolution,[status(thm)],[219, 173, 216])).
% 13.51/8.70 tff(221,plain,
% 13.51/8.70 (^[VarNext: $i] : refl((v6(VarNext) <=> v13(VarNext)) <=> (v6(VarNext) <=> v13(VarNext)))),
% 13.51/8.70 inference(bind,[status(th)],[])).
% 13.51/8.70 tff(222,plain,
% 13.51/8.70 (![VarNext: $i] : (v6(VarNext) <=> v13(VarNext)) <=> ![VarNext: $i] : (v6(VarNext) <=> v13(VarNext))),
% 13.51/8.70 inference(quant_intro,[status(thm)],[221])).
% 13.51/8.70 tff(223,plain,
% 13.51/8.70 (![VarNext: $i] : (v6(VarNext) <=> v13(VarNext)) <=> ![VarNext: $i] : (v6(VarNext) <=> v13(VarNext))),
% 13.51/8.70 inference(rewrite,[status(thm)],[])).
% 13.51/8.70 tff(224,plain,
% 13.51/8.70 (^[VarNext: $i] : rewrite(($true => (v6(VarNext) <=> v13(VarNext))) <=> (v6(VarNext) <=> v13(VarNext)))),
% 13.51/8.70 inference(bind,[status(th)],[])).
% 13.51/8.70 tff(225,plain,
% 13.51/8.70 (![VarNext: $i] : ($true => (v6(VarNext) <=> v13(VarNext))) <=> ![VarNext: $i] : (v6(VarNext) <=> v13(VarNext))),
% 13.51/8.70 inference(quant_intro,[status(thm)],[224])).
% 13.51/8.70 tff(226,axiom,(![VarNext: $i] : ($true => (v6(VarNext) <=> v13(VarNext)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','addConditionBooleanCondEqualRangesThenBranch')).
% 13.51/8.70 tff(227,plain,
% 13.51/8.70 (![VarNext: $i] : (v6(VarNext) <=> v13(VarNext))),
% 13.51/8.70 inference(modus_ponens,[status(thm)],[226, 225])).
% 13.51/8.70 tff(228,plain,
% 13.51/8.70 (![VarNext: $i] : (v6(VarNext) <=> v13(VarNext))),
% 13.51/8.70 inference(modus_ponens,[status(thm)],[227, 223])).
% 13.51/8.70 tff(229,plain,(
% 13.51/8.70 ![VarNext: $i] : (v6(VarNext) <=> v13(VarNext))),
% 13.51/8.70 inference(skolemize,[status(sab)],[228])).
% 13.51/8.70 tff(230,plain,
% 13.51/8.70 (![VarNext: $i] : (v6(VarNext) <=> v13(VarNext))),
% 13.51/8.70 inference(modus_ponens,[status(thm)],[229, 222])).
% 13.51/8.70 tff(231,plain,
% 13.51/8.70 ((~![VarNext: $i] : (v6(VarNext) <=> v13(VarNext))) | (v6(constB96) <=> v13(constB96))),
% 13.51/8.70 inference(quant_inst,[status(thm)],[])).
% 13.51/8.70 tff(232,plain,
% 13.51/8.70 (v6(constB96) <=> v13(constB96)),
% 13.51/8.70 inference(unit_resolution,[status(thm)],[231, 230])).
% 13.51/8.70 tff(233,plain,
% 13.51/8.70 (^[VarCurr: $i] : refl(((~v21(VarCurr)) <=> v6(VarCurr)) <=> ((~v21(VarCurr)) <=> v6(VarCurr)))),
% 13.51/8.70 inference(bind,[status(th)],[])).
% 13.51/8.70 tff(234,plain,
% 13.51/8.70 (![VarCurr: $i] : ((~v21(VarCurr)) <=> v6(VarCurr)) <=> ![VarCurr: $i] : ((~v21(VarCurr)) <=> v6(VarCurr))),
% 13.51/8.70 inference(quant_intro,[status(thm)],[233])).
% 13.51/8.70 tff(235,plain,
% 13.51/8.70 (![VarCurr: $i] : ((~v21(VarCurr)) <=> v6(VarCurr)) <=> ![VarCurr: $i] : ((~v21(VarCurr)) <=> v6(VarCurr))),
% 13.51/8.70 inference(rewrite,[status(thm)],[])).
% 13.51/8.70 tff(236,axiom,(![VarCurr: $i] : ((~v21(VarCurr)) <=> v6(VarCurr))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','writeUnaryOperator_1')).
% 13.51/8.70 tff(237,plain,
% 13.51/8.70 (![VarCurr: $i] : ((~v21(VarCurr)) <=> v6(VarCurr))),
% 13.51/8.70 inference(modus_ponens,[status(thm)],[236, 235])).
% 13.51/8.70 tff(238,plain,(
% 13.51/8.70 ![VarCurr: $i] : ((~v21(VarCurr)) <=> v6(VarCurr))),
% 13.51/8.70 inference(skolemize,[status(sab)],[237])).
% 13.51/8.70 tff(239,plain,
% 13.51/8.70 (![VarCurr: $i] : ((~v21(VarCurr)) <=> v6(VarCurr))),
% 13.51/8.70 inference(modus_ponens,[status(thm)],[238, 234])).
% 13.51/8.70 tff(240,plain,
% 13.51/8.70 ((~![VarCurr: $i] : ((~v21(VarCurr)) <=> v6(VarCurr))) | ((~v21(constB96)) <=> v6(constB96))),
% 13.51/8.70 inference(quant_inst,[status(thm)],[])).
% 13.51/8.70 tff(241,plain,
% 13.51/8.70 ((~v21(constB96)) <=> v6(constB96)),
% 13.51/8.70 inference(unit_resolution,[status(thm)],[240, 239])).
% 13.51/8.70 tff(242,plain,
% 13.51/8.70 (^[VarCurr: $i] : refl((v19(VarCurr) <=> (v20(VarCurr) | v21(VarCurr))) <=> (v19(VarCurr) <=> (v20(VarCurr) | v21(VarCurr))))),
% 13.51/8.70 inference(bind,[status(th)],[])).
% 13.51/8.70 tff(243,plain,
% 13.51/8.70 (![VarCurr: $i] : (v19(VarCurr) <=> (v20(VarCurr) | v21(VarCurr))) <=> ![VarCurr: $i] : (v19(VarCurr) <=> (v20(VarCurr) | v21(VarCurr)))),
% 13.51/8.70 inference(quant_intro,[status(thm)],[242])).
% 13.51/8.70 tff(244,plain,
% 13.51/8.70 (![VarCurr: $i] : (v19(VarCurr) <=> (v20(VarCurr) | v21(VarCurr))) <=> ![VarCurr: $i] : (v19(VarCurr) <=> (v20(VarCurr) | v21(VarCurr)))),
% 13.51/8.70 inference(rewrite,[status(thm)],[])).
% 13.51/8.70 tff(245,axiom,(![VarCurr: $i] : (v19(VarCurr) <=> (v20(VarCurr) | v21(VarCurr)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','writeBinaryOperatorEqualRangesSingleBits')).
% 13.51/8.70 tff(246,plain,
% 13.51/8.70 (![VarCurr: $i] : (v19(VarCurr) <=> (v20(VarCurr) | v21(VarCurr)))),
% 13.51/8.70 inference(modus_ponens,[status(thm)],[245, 244])).
% 13.51/8.70 tff(247,plain,(
% 13.51/8.70 ![VarCurr: $i] : (v19(VarCurr) <=> (v20(VarCurr) | v21(VarCurr)))),
% 13.51/8.70 inference(skolemize,[status(sab)],[246])).
% 13.51/8.70 tff(248,plain,
% 13.51/8.70 (![VarCurr: $i] : (v19(VarCurr) <=> (v20(VarCurr) | v21(VarCurr)))),
% 13.51/8.70 inference(modus_ponens,[status(thm)],[247, 243])).
% 13.51/8.70 tff(249,plain,
% 13.51/8.70 ((~![VarCurr: $i] : (v19(VarCurr) <=> (v20(VarCurr) | v21(VarCurr)))) | (v19(constB96) <=> (v20(constB96) | v21(constB96)))),
% 13.51/8.70 inference(quant_inst,[status(thm)],[])).
% 13.51/8.70 tff(250,plain,
% 13.51/8.70 (v19(constB96) <=> (v20(constB96) | v21(constB96))),
% 13.51/8.70 inference(unit_resolution,[status(thm)],[249, 248])).
% 13.51/8.70 tff(251,plain,
% 13.51/8.70 (^[VarCurr: $i] : refl((v18(VarCurr) <=> (~((~v19(VarCurr)) | (~v22(VarCurr))))) <=> (v18(VarCurr) <=> (~((~v19(VarCurr)) | (~v22(VarCurr))))))),
% 13.51/8.70 inference(bind,[status(th)],[])).
% 13.51/8.70 tff(252,plain,
% 13.51/8.70 (![VarCurr: $i] : (v18(VarCurr) <=> (~((~v19(VarCurr)) | (~v22(VarCurr))))) <=> ![VarCurr: $i] : (v18(VarCurr) <=> (~((~v19(VarCurr)) | (~v22(VarCurr)))))),
% 13.51/8.70 inference(quant_intro,[status(thm)],[251])).
% 13.51/8.70 tff(253,plain,
% 13.51/8.70 (^[VarCurr: $i] : rewrite((v18(VarCurr) <=> (v19(VarCurr) & v22(VarCurr))) <=> (v18(VarCurr) <=> (~((~v19(VarCurr)) | (~v22(VarCurr))))))),
% 13.51/8.70 inference(bind,[status(th)],[])).
% 13.51/8.70 tff(254,plain,
% 13.51/8.70 (![VarCurr: $i] : (v18(VarCurr) <=> (v19(VarCurr) & v22(VarCurr))) <=> ![VarCurr: $i] : (v18(VarCurr) <=> (~((~v19(VarCurr)) | (~v22(VarCurr)))))),
% 13.51/8.70 inference(quant_intro,[status(thm)],[253])).
% 13.51/8.70 tff(255,plain,
% 13.51/8.70 (![VarCurr: $i] : (v18(VarCurr) <=> (v19(VarCurr) & v22(VarCurr))) <=> ![VarCurr: $i] : (v18(VarCurr) <=> (v19(VarCurr) & v22(VarCurr)))),
% 13.51/8.70 inference(rewrite,[status(thm)],[])).
% 13.51/8.70 tff(256,axiom,(![VarCurr: $i] : (v18(VarCurr) <=> (v19(VarCurr) & v22(VarCurr)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','writeBinaryOperatorEqualRangesSingleBits_2')).
% 13.51/8.70 tff(257,plain,
% 13.51/8.70 (![VarCurr: $i] : (v18(VarCurr) <=> (v19(VarCurr) & v22(VarCurr)))),
% 13.51/8.70 inference(modus_ponens,[status(thm)],[256, 255])).
% 13.51/8.70 tff(258,plain,(
% 13.51/8.70 ![VarCurr: $i] : (v18(VarCurr) <=> (v19(VarCurr) & v22(VarCurr)))),
% 13.51/8.70 inference(skolemize,[status(sab)],[257])).
% 13.51/8.70 tff(259,plain,
% 13.51/8.70 (![VarCurr: $i] : (v18(VarCurr) <=> (~((~v19(VarCurr)) | (~v22(VarCurr)))))),
% 13.51/8.70 inference(modus_ponens,[status(thm)],[258, 254])).
% 13.51/8.70 tff(260,plain,
% 13.51/8.70 (![VarCurr: $i] : (v18(VarCurr) <=> (~((~v19(VarCurr)) | (~v22(VarCurr)))))),
% 13.51/8.70 inference(modus_ponens,[status(thm)],[259, 252])).
% 13.51/8.70 tff(261,plain,
% 13.51/8.70 ((~![VarCurr: $i] : (v18(VarCurr) <=> (~((~v19(VarCurr)) | (~v22(VarCurr)))))) | (v18(constB96) <=> (~((~v19(constB96)) | (~v22(constB96)))))),
% 13.51/8.70 inference(quant_inst,[status(thm)],[])).
% 13.51/8.70 tff(262,plain,
% 13.51/8.70 (v18(constB96) <=> (~((~v19(constB96)) | (~v22(constB96))))),
% 13.51/8.70 inference(unit_resolution,[status(thm)],[261, 260])).
% 13.51/8.70 tff(263,plain,
% 13.51/8.70 (^[VarCurr: $i] : refl(((~v4(VarCurr)) <=> v18(VarCurr)) <=> ((~v4(VarCurr)) <=> v18(VarCurr)))),
% 13.51/8.70 inference(bind,[status(th)],[])).
% 13.51/8.70 tff(264,plain,
% 13.51/8.70 (![VarCurr: $i] : ((~v4(VarCurr)) <=> v18(VarCurr)) <=> ![VarCurr: $i] : ((~v4(VarCurr)) <=> v18(VarCurr))),
% 13.51/8.70 inference(quant_intro,[status(thm)],[263])).
% 13.51/8.70 tff(265,plain,
% 13.51/8.70 (![VarCurr: $i] : ((~v4(VarCurr)) <=> v18(VarCurr)) <=> ![VarCurr: $i] : ((~v4(VarCurr)) <=> v18(VarCurr))),
% 13.51/8.70 inference(rewrite,[status(thm)],[])).
% 13.51/8.70 tff(266,axiom,(![VarCurr: $i] : ((~v4(VarCurr)) <=> v18(VarCurr))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','writeUnaryOperator_2')).
% 13.51/8.70 tff(267,plain,
% 13.51/8.70 (![VarCurr: $i] : ((~v4(VarCurr)) <=> v18(VarCurr))),
% 13.51/8.70 inference(modus_ponens,[status(thm)],[266, 265])).
% 13.51/8.70 tff(268,plain,(
% 13.51/8.70 ![VarCurr: $i] : ((~v4(VarCurr)) <=> v18(VarCurr))),
% 13.51/8.70 inference(skolemize,[status(sab)],[267])).
% 13.51/8.70 tff(269,plain,
% 13.51/8.70 (![VarCurr: $i] : ((~v4(VarCurr)) <=> v18(VarCurr))),
% 13.51/8.70 inference(modus_ponens,[status(thm)],[268, 264])).
% 13.51/8.70 tff(270,plain,
% 13.51/8.70 ((~![VarCurr: $i] : ((~v4(VarCurr)) <=> v18(VarCurr))) | ((~v4(constB96)) <=> v18(constB96))),
% 13.51/8.70 inference(quant_inst,[status(thm)],[])).
% 13.51/8.70 tff(271,plain,
% 13.51/8.70 ((~v4(constB96)) <=> v18(constB96)),
% 13.51/8.70 inference(unit_resolution,[status(thm)],[270, 269])).
% 13.51/8.70 tff(272,plain,
% 13.51/8.70 (^[VarCurr: $i] : refl(v4(VarCurr) <=> v4(VarCurr))),
% 13.51/8.70 inference(bind,[status(th)],[])).
% 13.51/8.70 tff(273,plain,
% 13.51/8.70 (![VarCurr: $i] : v4(VarCurr) <=> ![VarCurr: $i] : v4(VarCurr)),
% 13.51/8.70 inference(quant_intro,[status(thm)],[272])).
% 13.51/8.70 tff(274,plain,
% 13.51/8.70 (![VarCurr: $i] : v4(VarCurr) <=> ![VarCurr: $i] : v4(VarCurr)),
% 13.51/8.70 inference(rewrite,[status(thm)],[])).
% 13.51/8.70 tff(275,axiom,(![VarCurr: $i] : v4(VarCurr)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','addGlobalAssumption')).
% 13.51/8.70 tff(276,plain,
% 13.51/8.70 (![VarCurr: $i] : v4(VarCurr)),
% 13.51/8.70 inference(modus_ponens,[status(thm)],[275, 274])).
% 13.51/8.70 tff(277,plain,(
% 13.51/8.70 ![VarCurr: $i] : v4(VarCurr)),
% 13.51/8.70 inference(skolemize,[status(sab)],[276])).
% 13.51/8.70 tff(278,plain,
% 13.51/8.70 (![VarCurr: $i] : v4(VarCurr)),
% 13.51/8.70 inference(modus_ponens,[status(thm)],[277, 273])).
% 13.51/8.70 tff(279,plain,
% 13.51/8.70 ((~![VarCurr: $i] : v4(VarCurr)) | v4(constB96)),
% 13.51/8.70 inference(quant_inst,[status(thm)],[])).
% 13.51/8.70 tff(280,plain,
% 13.51/8.70 (v4(constB96)),
% 13.51/8.70 inference(unit_resolution,[status(thm)],[279, 278])).
% 13.51/8.70 tff(281,plain,
% 13.51/8.70 ((~((~v4(constB96)) <=> v18(constB96))) | (~v4(constB96)) | (~v18(constB96))),
% 13.51/8.70 inference(tautology,[status(thm)],[])).
% 13.51/8.70 tff(282,plain,
% 13.51/8.70 (~v18(constB96)),
% 13.51/8.70 inference(unit_resolution,[status(thm)],[281, 280, 271])).
% 13.51/8.70 tff(283,plain,
% 13.51/8.70 ((~(v18(constB96) <=> (~((~v19(constB96)) | (~v22(constB96)))))) | v18(constB96) | ((~v19(constB96)) | (~v22(constB96)))),
% 13.51/8.70 inference(tautology,[status(thm)],[])).
% 13.51/8.70 tff(284,plain,
% 13.51/8.70 ((~v19(constB96)) | (~v22(constB96))),
% 13.51/8.70 inference(unit_resolution,[status(thm)],[283, 282, 262])).
% 13.51/8.70 tff(285,plain,
% 13.51/8.70 (^[VarCurr: $i] : refl((v22(VarCurr) <=> (v1(VarCurr) | v6(VarCurr))) <=> (v22(VarCurr) <=> (v1(VarCurr) | v6(VarCurr))))),
% 13.51/8.70 inference(bind,[status(th)],[])).
% 13.51/8.70 tff(286,plain,
% 13.51/8.70 (![VarCurr: $i] : (v22(VarCurr) <=> (v1(VarCurr) | v6(VarCurr))) <=> ![VarCurr: $i] : (v22(VarCurr) <=> (v1(VarCurr) | v6(VarCurr)))),
% 13.51/8.70 inference(quant_intro,[status(thm)],[285])).
% 13.51/8.70 tff(287,plain,
% 13.51/8.70 (![VarCurr: $i] : (v22(VarCurr) <=> (v1(VarCurr) | v6(VarCurr))) <=> ![VarCurr: $i] : (v22(VarCurr) <=> (v1(VarCurr) | v6(VarCurr)))),
% 13.51/8.70 inference(rewrite,[status(thm)],[])).
% 13.51/8.70 tff(288,axiom,(![VarCurr: $i] : (v22(VarCurr) <=> (v1(VarCurr) | v6(VarCurr)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','writeBinaryOperatorEqualRangesSingleBits_1')).
% 13.51/8.70 tff(289,plain,
% 13.51/8.70 (![VarCurr: $i] : (v22(VarCurr) <=> (v1(VarCurr) | v6(VarCurr)))),
% 13.51/8.70 inference(modus_ponens,[status(thm)],[288, 287])).
% 13.51/8.70 tff(290,plain,(
% 13.51/8.70 ![VarCurr: $i] : (v22(VarCurr) <=> (v1(VarCurr) | v6(VarCurr)))),
% 13.51/8.70 inference(skolemize,[status(sab)],[289])).
% 13.51/8.70 tff(291,plain,
% 13.51/8.70 (![VarCurr: $i] : (v22(VarCurr) <=> (v1(VarCurr) | v6(VarCurr)))),
% 13.51/8.70 inference(modus_ponens,[status(thm)],[290, 286])).
% 13.51/8.70 tff(292,plain,
% 13.51/8.70 ((~![VarCurr: $i] : (v22(VarCurr) <=> (v1(VarCurr) | v6(VarCurr)))) | (v22(constB96) <=> (v1(constB96) | v6(constB96)))),
% 13.51/8.70 inference(quant_inst,[status(thm)],[])).
% 13.51/8.70 tff(293,plain,
% 13.51/8.70 (v22(constB96) <=> (v1(constB96) | v6(constB96))),
% 13.51/8.70 inference(unit_resolution,[status(thm)],[292, 291])).
% 13.51/8.70 tff(294,plain,
% 13.51/8.70 ((v1(constB96) | v6(constB96)) | (~v1(constB96))),
% 13.51/8.70 inference(tautology,[status(thm)],[])).
% 13.51/8.70 tff(295,plain,
% 13.51/8.70 (v1(constB96) | v6(constB96)),
% 13.51/8.70 inference(unit_resolution,[status(thm)],[294, 134])).
% 13.51/8.70 tff(296,plain,
% 13.51/8.70 ((~(v22(constB96) <=> (v1(constB96) | v6(constB96)))) | v22(constB96) | (~(v1(constB96) | v6(constB96)))),
% 13.51/8.70 inference(tautology,[status(thm)],[])).
% 13.51/8.70 tff(297,plain,
% 13.51/8.70 ((~(v22(constB96) <=> (v1(constB96) | v6(constB96)))) | v22(constB96)),
% 13.51/8.70 inference(unit_resolution,[status(thm)],[296, 295])).
% 13.51/8.70 tff(298,plain,
% 13.51/8.70 (v22(constB96)),
% 13.51/8.70 inference(unit_resolution,[status(thm)],[297, 293])).
% 13.51/8.70 tff(299,plain,
% 13.51/8.70 ((~((~v19(constB96)) | (~v22(constB96)))) | (~v19(constB96)) | (~v22(constB96))),
% 13.51/8.70 inference(tautology,[status(thm)],[])).
% 13.51/8.70 tff(300,plain,
% 13.51/8.70 ((~((~v19(constB96)) | (~v22(constB96)))) | (~v19(constB96))),
% 13.51/8.70 inference(unit_resolution,[status(thm)],[299, 298])).
% 13.51/8.70 tff(301,plain,
% 13.51/8.70 (~v19(constB96)),
% 13.51/8.70 inference(unit_resolution,[status(thm)],[300, 284])).
% 13.51/8.70 tff(302,plain,
% 13.51/8.70 ((~(v19(constB96) <=> (v20(constB96) | v21(constB96)))) | v19(constB96) | (~(v20(constB96) | v21(constB96)))),
% 13.51/8.70 inference(tautology,[status(thm)],[])).
% 13.51/8.70 tff(303,plain,
% 13.51/8.70 (~(v20(constB96) | v21(constB96))),
% 13.51/8.70 inference(unit_resolution,[status(thm)],[302, 301, 250])).
% 13.51/8.70 tff(304,plain,
% 13.51/8.70 ((v20(constB96) | v21(constB96)) | (~v21(constB96))),
% 13.51/8.70 inference(tautology,[status(thm)],[])).
% 13.51/8.70 tff(305,plain,
% 13.51/8.70 (~v21(constB96)),
% 13.51/8.70 inference(unit_resolution,[status(thm)],[304, 303])).
% 13.51/8.70 tff(306,plain,
% 13.51/8.70 ((~((~v21(constB96)) <=> v6(constB96))) | v21(constB96) | v6(constB96)),
% 13.51/8.70 inference(tautology,[status(thm)],[])).
% 13.51/8.70 tff(307,plain,
% 13.51/8.70 (v6(constB96)),
% 13.51/8.70 inference(unit_resolution,[status(thm)],[306, 305, 241])).
% 13.51/8.70 tff(308,plain,
% 13.51/8.70 ((~(v6(constB96) <=> v13(constB96))) | (~v6(constB96)) | v13(constB96)),
% 13.51/8.70 inference(tautology,[status(thm)],[])).
% 13.51/8.70 tff(309,plain,
% 13.51/8.70 (v13(constB96)),
% 13.51/8.70 inference(unit_resolution,[status(thm)],[308, 307, 232])).
% 13.51/8.70 tff(310,plain,
% 13.51/8.70 ((~(v13(constB96) <=> v9(constB95))) | (~v13(constB96)) | v9(constB95)),
% 13.51/8.70 inference(tautology,[status(thm)],[])).
% 13.51/8.70 tff(311,plain,
% 13.51/8.70 (v9(constB95)),
% 13.51/8.70 inference(unit_resolution,[status(thm)],[310, 309, 220])).
% 13.51/8.70 tff(312,plain,
% 13.51/8.70 ((~![VarCurr: $i] : ((~v39(VarCurr)) <=> v1(VarCurr))) | ((~v39(constB95)) <=> v1(constB95))),
% 13.51/8.70 inference(quant_inst,[status(thm)],[])).
% 13.51/8.70 tff(313,plain,
% 13.51/8.70 ((~v39(constB95)) <=> v1(constB95)),
% 13.51/8.70 inference(unit_resolution,[status(thm)],[312, 129])).
% 13.51/8.70 tff(314,plain,
% 13.51/8.70 ((~v1(constB95)) <=> (~v1(constB95))),
% 13.51/8.70 inference(rewrite,[status(thm)],[])).
% 13.51/8.70 tff(315,axiom,(~v1(constB95)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_95')).
% 13.51/8.70 tff(316,plain,
% 13.51/8.70 (~v1(constB95)),
% 13.51/8.70 inference(modus_ponens,[status(thm)],[315, 314])).
% 13.51/8.70 tff(317,plain,
% 13.51/8.70 ((~((~v39(constB95)) <=> v1(constB95))) | v39(constB95) | v1(constB95)),
% 13.51/8.70 inference(tautology,[status(thm)],[])).
% 13.51/8.70 tff(318,plain,
% 13.51/8.70 ((~((~v39(constB95)) <=> v1(constB95))) | v39(constB95)),
% 13.51/8.70 inference(unit_resolution,[status(thm)],[317, 316])).
% 13.51/8.70 tff(319,plain,
% 13.51/8.70 (v39(constB95)),
% 13.51/8.70 inference(unit_resolution,[status(thm)],[318, 313])).
% 13.51/8.70 tff(320,plain,
% 13.51/8.70 ((~((~v39(constB95)) | (~v9(constB95)))) | (~v39(constB95)) | (~v9(constB95))),
% 13.51/8.70 inference(tautology,[status(thm)],[])).
% 13.51/8.70 tff(321,plain,
% 13.51/8.70 ((~((~v39(constB95)) | (~v9(constB95)))) | (~v9(constB95))),
% 13.51/8.70 inference(unit_resolution,[status(thm)],[320, 319])).
% 13.51/8.70 tff(322,plain,
% 13.51/8.70 (~((~v39(constB95)) | (~v9(constB95)))),
% 13.51/8.70 inference(unit_resolution,[status(thm)],[321, 311])).
% 13.51/8.70 tff(323,plain,
% 13.51/8.70 ((~(v197(constB95) <=> (~((~v39(constB95)) | (~v9(constB95)))))) | v197(constB95) | ((~v39(constB95)) | (~v9(constB95)))),
% 13.51/8.70 inference(tautology,[status(thm)],[])).
% 13.51/8.70 tff(324,plain,
% 13.51/8.70 (v197(constB95)),
% 13.51/8.70 inference(unit_resolution,[status(thm)],[323, 322, 206])).
% 13.51/8.70 tff(325,plain,
% 13.51/8.70 ((v197(constB95) | v26(constB95)) | (~v197(constB95))),
% 13.51/8.70 inference(tautology,[status(thm)],[])).
% 13.51/8.70 tff(326,plain,
% 13.51/8.70 (v197(constB95) | v26(constB95)),
% 13.51/8.70 inference(unit_resolution,[status(thm)],[325, 324])).
% 13.51/8.70 tff(327,plain,
% 13.51/8.70 ((~(v196(constB95) <=> (v197(constB95) | v26(constB95)))) | v196(constB95) | (~(v197(constB95) | v26(constB95)))),
% 13.51/8.70 inference(tautology,[status(thm)],[])).
% 13.51/8.70 tff(328,plain,
% 13.51/8.70 (v196(constB95)),
% 13.51/8.70 inference(unit_resolution,[status(thm)],[327, 326, 204])).
% 13.51/8.70 tff(329,plain,
% 13.51/8.70 ((~((~v195(constB95)) <=> v196(constB95))) | (~v195(constB95)) | (~v196(constB95))),
% 13.51/8.70 inference(tautology,[status(thm)],[])).
% 13.51/8.70 tff(330,plain,
% 13.51/8.70 (~v195(constB95)),
% 13.51/8.70 inference(unit_resolution,[status(thm)],[329, 328, 195])).
% 13.51/8.70 tff(331,plain,
% 13.51/8.70 (((~v157(constB95)) | (~v195(constB95))) | v195(constB95)),
% 13.51/8.70 inference(tautology,[status(thm)],[])).
% 13.51/8.70 tff(332,plain,
% 13.51/8.70 ((~v157(constB95)) | (~v195(constB95))),
% 13.51/8.70 inference(unit_resolution,[status(thm)],[331, 330])).
% 13.51/8.70 tff(333,plain,
% 13.51/8.70 ((~(v194(constB95) <=> (~((~v157(constB95)) | (~v195(constB95)))))) | (~v194(constB95)) | (~((~v157(constB95)) | (~v195(constB95))))),
% 13.51/8.70 inference(tautology,[status(thm)],[])).
% 13.51/8.70 tff(334,plain,
% 13.51/8.70 (~v194(constB95)),
% 13.51/8.70 inference(unit_resolution,[status(thm)],[333, 332, 186])).
% 13.51/8.70 tff(335,plain,
% 13.51/8.70 ((~![VarCurr: $i] : (v198(VarCurr) <=> (~((~v199(VarCurr)) | (~v200(VarCurr)))))) | (v198(constB95) <=> (~((~v199(constB95)) | (~v200(constB95)))))),
% 13.51/8.70 inference(quant_inst,[status(thm)],[])).
% 13.51/8.70 tff(336,plain,
% 13.51/8.70 (v198(constB95) <=> (~((~v199(constB95)) | (~v200(constB95))))),
% 13.51/8.70 inference(unit_resolution,[status(thm)],[335, 96])).
% 13.51/8.70 tff(337,plain,
% 13.51/8.70 ((~![VarCurr: $i] : (v200(VarCurr) <=> (~((~v197(VarCurr)) | (~v201(VarCurr)))))) | (v200(constB95) <=> (~((~v197(constB95)) | (~v201(constB95)))))),
% 13.51/8.70 inference(quant_inst,[status(thm)],[])).
% 13.51/8.70 tff(338,plain,
% 13.51/8.70 (v200(constB95) <=> (~((~v197(constB95)) | (~v201(constB95))))),
% 13.51/8.70 inference(unit_resolution,[status(thm)],[337, 108])).
% 13.51/8.70 tff(339,plain,
% 13.51/8.70 (^[VarCurr: $i] : refl((v201(VarCurr) <=> (~((~v159(VarCurr)) | (~v161(VarCurr))))) <=> (v201(VarCurr) <=> (~((~v159(VarCurr)) | (~v161(VarCurr))))))),
% 13.51/8.70 inference(bind,[status(th)],[])).
% 13.51/8.70 tff(340,plain,
% 13.51/8.70 (![VarCurr: $i] : (v201(VarCurr) <=> (~((~v159(VarCurr)) | (~v161(VarCurr))))) <=> ![VarCurr: $i] : (v201(VarCurr) <=> (~((~v159(VarCurr)) | (~v161(VarCurr)))))),
% 13.51/8.70 inference(quant_intro,[status(thm)],[339])).
% 13.51/8.70 tff(341,plain,
% 13.51/8.70 (^[VarCurr: $i] : rewrite((v201(VarCurr) <=> (v159(VarCurr) & v161(VarCurr))) <=> (v201(VarCurr) <=> (~((~v159(VarCurr)) | (~v161(VarCurr))))))),
% 13.51/8.70 inference(bind,[status(th)],[])).
% 13.51/8.70 tff(342,plain,
% 13.51/8.70 (![VarCurr: $i] : (v201(VarCurr) <=> (v159(VarCurr) & v161(VarCurr))) <=> ![VarCurr: $i] : (v201(VarCurr) <=> (~((~v159(VarCurr)) | (~v161(VarCurr)))))),
% 13.51/8.70 inference(quant_intro,[status(thm)],[341])).
% 13.51/8.70 tff(343,plain,
% 13.51/8.70 (![VarCurr: $i] : (v201(VarCurr) <=> (v159(VarCurr) & v161(VarCurr))) <=> ![VarCurr: $i] : (v201(VarCurr) <=> (v159(VarCurr) & v161(VarCurr)))),
% 13.51/8.70 inference(rewrite,[status(thm)],[])).
% 13.51/8.70 tff(344,axiom,(![VarCurr: $i] : (v201(VarCurr) <=> (v159(VarCurr) & v161(VarCurr)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','writeBinaryOperatorEqualRangesSingleBits_47')).
% 13.51/8.70 tff(345,plain,
% 13.51/8.70 (![VarCurr: $i] : (v201(VarCurr) <=> (v159(VarCurr) & v161(VarCurr)))),
% 13.51/8.70 inference(modus_ponens,[status(thm)],[344, 343])).
% 13.51/8.70 tff(346,plain,(
% 13.51/8.70 ![VarCurr: $i] : (v201(VarCurr) <=> (v159(VarCurr) & v161(VarCurr)))),
% 13.51/8.70 inference(skolemize,[status(sab)],[345])).
% 13.51/8.70 tff(347,plain,
% 13.51/8.70 (![VarCurr: $i] : (v201(VarCurr) <=> (~((~v159(VarCurr)) | (~v161(VarCurr)))))),
% 13.51/8.70 inference(modus_ponens,[status(thm)],[346, 342])).
% 13.51/8.70 tff(348,plain,
% 13.51/8.70 (![VarCurr: $i] : (v201(VarCurr) <=> (~((~v159(VarCurr)) | (~v161(VarCurr)))))),
% 13.51/8.70 inference(modus_ponens,[status(thm)],[347, 340])).
% 13.51/8.70 tff(349,plain,
% 13.51/8.70 ((~![VarCurr: $i] : (v201(VarCurr) <=> (~((~v159(VarCurr)) | (~v161(VarCurr)))))) | (v201(constB95) <=> (~((~v159(constB95)) | (~v161(constB95)))))),
% 13.51/8.70 inference(quant_inst,[status(thm)],[])).
% 13.51/8.70 tff(350,plain,
% 13.51/8.70 (v201(constB95) <=> (~((~v159(constB95)) | (~v161(constB95))))),
% 13.51/8.70 inference(unit_resolution,[status(thm)],[349, 348])).
% 13.51/8.70 tff(351,plain,
% 13.51/8.70 (^[VarCurr: $i] : refl((v161(VarCurr) <=> v163(VarCurr)) <=> (v161(VarCurr) <=> v163(VarCurr)))),
% 13.51/8.70 inference(bind,[status(th)],[])).
% 13.51/8.70 tff(352,plain,
% 13.51/8.70 (![VarCurr: $i] : (v161(VarCurr) <=> v163(VarCurr)) <=> ![VarCurr: $i] : (v161(VarCurr) <=> v163(VarCurr))),
% 13.51/8.70 inference(quant_intro,[status(thm)],[351])).
% 13.51/8.70 tff(353,plain,
% 13.51/8.70 (![VarCurr: $i] : (v161(VarCurr) <=> v163(VarCurr)) <=> ![VarCurr: $i] : (v161(VarCurr) <=> v163(VarCurr))),
% 13.51/8.70 inference(rewrite,[status(thm)],[])).
% 13.51/8.70 tff(354,axiom,(![VarCurr: $i] : (v161(VarCurr) <=> v163(VarCurr))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','addAssignment_10')).
% 13.51/8.70 tff(355,plain,
% 13.51/8.70 (![VarCurr: $i] : (v161(VarCurr) <=> v163(VarCurr))),
% 13.51/8.70 inference(modus_ponens,[status(thm)],[354, 353])).
% 13.51/8.70 tff(356,plain,(
% 13.51/8.70 ![VarCurr: $i] : (v161(VarCurr) <=> v163(VarCurr))),
% 13.51/8.70 inference(skolemize,[status(sab)],[355])).
% 13.51/8.70 tff(357,plain,
% 13.51/8.70 (![VarCurr: $i] : (v161(VarCurr) <=> v163(VarCurr))),
% 13.51/8.70 inference(modus_ponens,[status(thm)],[356, 352])).
% 13.51/8.70 tff(358,plain,
% 13.51/8.70 ((~![VarCurr: $i] : (v161(VarCurr) <=> v163(VarCurr))) | (v161(constB95) <=> v163(constB95))),
% 13.51/8.70 inference(quant_inst,[status(thm)],[])).
% 13.51/8.70 tff(359,plain,
% 13.51/8.70 (v161(constB95) <=> v163(constB95)),
% 13.51/8.70 inference(unit_resolution,[status(thm)],[358, 357])).
% 13.51/8.70 tff(360,plain,
% 13.51/8.70 (^[VarCurr: $i] : refl((v171(VarCurr) <=> (v142(VarCurr) | v150(VarCurr))) <=> (v171(VarCurr) <=> (v142(VarCurr) | v150(VarCurr))))),
% 13.51/8.70 inference(bind,[status(th)],[])).
% 13.51/8.70 tff(361,plain,
% 13.51/8.70 (![VarCurr: $i] : (v171(VarCurr) <=> (v142(VarCurr) | v150(VarCurr))) <=> ![VarCurr: $i] : (v171(VarCurr) <=> (v142(VarCurr) | v150(VarCurr)))),
% 13.51/8.70 inference(quant_intro,[status(thm)],[360])).
% 13.51/8.70 tff(362,plain,
% 13.51/8.70 (![VarCurr: $i] : (v171(VarCurr) <=> (v142(VarCurr) | v150(VarCurr))) <=> ![VarCurr: $i] : (v171(VarCurr) <=> (v142(VarCurr) | v150(VarCurr)))),
% 13.51/8.70 inference(rewrite,[status(thm)],[])).
% 13.51/8.70 tff(363,plain,
% 13.51/8.70 (^[VarCurr: $i] : rewrite((v171(VarCurr) <=> (v150(VarCurr) | v142(VarCurr))) <=> (v171(VarCurr) <=> (v142(VarCurr) | v150(VarCurr))))),
% 13.51/8.70 inference(bind,[status(th)],[])).
% 13.51/8.70 tff(364,plain,
% 13.51/8.70 (![VarCurr: $i] : (v171(VarCurr) <=> (v150(VarCurr) | v142(VarCurr))) <=> ![VarCurr: $i] : (v171(VarCurr) <=> (v142(VarCurr) | v150(VarCurr)))),
% 13.51/8.70 inference(quant_intro,[status(thm)],[363])).
% 13.51/8.70 tff(365,axiom,(![VarCurr: $i] : (v171(VarCurr) <=> (v150(VarCurr) | v142(VarCurr)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','writeBinaryOperatorEqualRangesSingleBits_41')).
% 13.51/8.71 tff(366,plain,
% 13.51/8.71 (![VarCurr: $i] : (v171(VarCurr) <=> (v142(VarCurr) | v150(VarCurr)))),
% 13.51/8.71 inference(modus_ponens,[status(thm)],[365, 364])).
% 13.51/8.71 tff(367,plain,
% 13.51/8.71 (![VarCurr: $i] : (v171(VarCurr) <=> (v142(VarCurr) | v150(VarCurr)))),
% 13.51/8.71 inference(modus_ponens,[status(thm)],[366, 362])).
% 13.51/8.71 tff(368,plain,(
% 13.51/8.71 ![VarCurr: $i] : (v171(VarCurr) <=> (v142(VarCurr) | v150(VarCurr)))),
% 13.51/8.71 inference(skolemize,[status(sab)],[367])).
% 13.51/8.71 tff(369,plain,
% 13.51/8.71 (![VarCurr: $i] : (v171(VarCurr) <=> (v142(VarCurr) | v150(VarCurr)))),
% 13.51/8.71 inference(modus_ponens,[status(thm)],[368, 361])).
% 13.51/8.71 tff(370,plain,
% 13.51/8.71 ((~![VarCurr: $i] : (v171(VarCurr) <=> (v142(VarCurr) | v150(VarCurr)))) | (v171(constB95) <=> (v142(constB95) | v150(constB95)))),
% 13.51/8.71 inference(quant_inst,[status(thm)],[])).
% 13.51/8.71 tff(371,plain,
% 13.51/8.71 (v171(constB95) <=> (v142(constB95) | v150(constB95))),
% 13.51/8.71 inference(unit_resolution,[status(thm)],[370, 369])).
% 13.51/8.71 tff(372,plain,
% 13.51/8.71 (^[VarCurr: $i] : refl((v142(VarCurr) <=> (v143(VarCurr) | v144(VarCurr))) <=> (v142(VarCurr) <=> (v143(VarCurr) | v144(VarCurr))))),
% 13.51/8.71 inference(bind,[status(th)],[])).
% 13.51/8.71 tff(373,plain,
% 13.51/8.71 (![VarCurr: $i] : (v142(VarCurr) <=> (v143(VarCurr) | v144(VarCurr))) <=> ![VarCurr: $i] : (v142(VarCurr) <=> (v143(VarCurr) | v144(VarCurr)))),
% 13.51/8.71 inference(quant_intro,[status(thm)],[372])).
% 13.51/8.71 tff(374,plain,
% 13.51/8.71 (![VarCurr: $i] : (v142(VarCurr) <=> (v143(VarCurr) | v144(VarCurr))) <=> ![VarCurr: $i] : (v142(VarCurr) <=> (v143(VarCurr) | v144(VarCurr)))),
% 13.51/8.71 inference(rewrite,[status(thm)],[])).
% 13.51/8.71 tff(375,axiom,(![VarCurr: $i] : (v142(VarCurr) <=> (v143(VarCurr) | v144(VarCurr)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','writeBinaryOperatorEqualRangesSingleBits_30')).
% 13.51/8.71 tff(376,plain,
% 13.51/8.71 (![VarCurr: $i] : (v142(VarCurr) <=> (v143(VarCurr) | v144(VarCurr)))),
% 13.51/8.71 inference(modus_ponens,[status(thm)],[375, 374])).
% 13.51/8.71 tff(377,plain,(
% 13.51/8.71 ![VarCurr: $i] : (v142(VarCurr) <=> (v143(VarCurr) | v144(VarCurr)))),
% 13.51/8.71 inference(skolemize,[status(sab)],[376])).
% 13.51/8.71 tff(378,plain,
% 13.51/8.71 (![VarCurr: $i] : (v142(VarCurr) <=> (v143(VarCurr) | v144(VarCurr)))),
% 13.51/8.71 inference(modus_ponens,[status(thm)],[377, 373])).
% 13.51/8.71 tff(379,plain,
% 13.51/8.71 ((~![VarCurr: $i] : (v142(VarCurr) <=> (v143(VarCurr) | v144(VarCurr)))) | (v142(constB95) <=> (v143(constB95) | v144(constB95)))),
% 13.51/8.71 inference(quant_inst,[status(thm)],[])).
% 13.51/8.71 tff(380,plain,
% 13.51/8.71 (v142(constB95) <=> (v143(constB95) | v144(constB95))),
% 13.51/8.71 inference(unit_resolution,[status(thm)],[379, 378])).
% 13.51/8.71 tff(381,plain,
% 13.51/8.71 (^[VarCurr: $i] : refl((v144(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex2))))) <=> (v144(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex2))))))),
% 13.51/8.71 inference(bind,[status(th)],[])).
% 13.51/8.71 tff(382,plain,
% 13.51/8.71 (![VarCurr: $i] : (v144(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex2))))) <=> ![VarCurr: $i] : (v144(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex2)))))),
% 13.51/8.71 inference(quant_intro,[status(thm)],[381])).
% 13.51/8.71 tff(383,plain,
% 13.51/8.71 (^[VarCurr: $i] : rewrite((v144(VarCurr) <=> (v88(VarCurr, bitIndex2) & v88(VarCurr, bitIndex1) & (~v88(VarCurr, bitIndex0)))) <=> (v144(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex2))))))),
% 13.51/8.71 inference(bind,[status(th)],[])).
% 13.51/8.71 tff(384,plain,
% 13.51/8.71 (![VarCurr: $i] : (v144(VarCurr) <=> (v88(VarCurr, bitIndex2) & v88(VarCurr, bitIndex1) & (~v88(VarCurr, bitIndex0)))) <=> ![VarCurr: $i] : (v144(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex2)))))),
% 13.51/8.71 inference(quant_intro,[status(thm)],[383])).
% 13.51/8.71 tff(385,plain,
% 13.51/8.71 (![VarCurr: $i] : (v144(VarCurr) <=> (v88(VarCurr, bitIndex2) & v88(VarCurr, bitIndex1) & (~v88(VarCurr, bitIndex0)))) <=> ![VarCurr: $i] : (v144(VarCurr) <=> (v88(VarCurr, bitIndex2) & v88(VarCurr, bitIndex1) & (~v88(VarCurr, bitIndex0))))),
% 13.51/8.71 inference(rewrite,[status(thm)],[])).
% 13.51/8.71 tff(386,plain,
% 13.51/8.71 (^[VarCurr: $i] : rewrite((v144(VarCurr) <=> (((v88(VarCurr, bitIndex2) <=> $true) & (v88(VarCurr, bitIndex1) <=> $true)) & (v88(VarCurr, bitIndex0) <=> $false))) <=> (v144(VarCurr) <=> (v88(VarCurr, bitIndex2) & v88(VarCurr, bitIndex1) & (~v88(VarCurr, bitIndex0)))))),
% 13.53/8.71 inference(bind,[status(th)],[])).
% 13.53/8.71 tff(387,plain,
% 13.53/8.71 (![VarCurr: $i] : (v144(VarCurr) <=> (((v88(VarCurr, bitIndex2) <=> $true) & (v88(VarCurr, bitIndex1) <=> $true)) & (v88(VarCurr, bitIndex0) <=> $false))) <=> ![VarCurr: $i] : (v144(VarCurr) <=> (v88(VarCurr, bitIndex2) & v88(VarCurr, bitIndex1) & (~v88(VarCurr, bitIndex0))))),
% 13.53/8.71 inference(quant_intro,[status(thm)],[386])).
% 13.53/8.71 tff(388,axiom,(![VarCurr: $i] : (v144(VarCurr) <=> (((v88(VarCurr, bitIndex2) <=> $true) & (v88(VarCurr, bitIndex1) <=> $true)) & (v88(VarCurr, bitIndex0) <=> $false)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','addBitVectorEqualityBitBlasted_13')).
% 13.53/8.71 tff(389,plain,
% 13.53/8.71 (![VarCurr: $i] : (v144(VarCurr) <=> (v88(VarCurr, bitIndex2) & v88(VarCurr, bitIndex1) & (~v88(VarCurr, bitIndex0))))),
% 13.53/8.71 inference(modus_ponens,[status(thm)],[388, 387])).
% 13.53/8.71 tff(390,plain,
% 13.53/8.71 (![VarCurr: $i] : (v144(VarCurr) <=> (v88(VarCurr, bitIndex2) & v88(VarCurr, bitIndex1) & (~v88(VarCurr, bitIndex0))))),
% 13.53/8.71 inference(modus_ponens,[status(thm)],[389, 385])).
% 13.53/8.71 tff(391,plain,(
% 13.53/8.71 ![VarCurr: $i] : (v144(VarCurr) <=> (v88(VarCurr, bitIndex2) & v88(VarCurr, bitIndex1) & (~v88(VarCurr, bitIndex0))))),
% 13.53/8.71 inference(skolemize,[status(sab)],[390])).
% 13.53/8.71 tff(392,plain,
% 13.53/8.71 (![VarCurr: $i] : (v144(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex2)))))),
% 13.53/8.71 inference(modus_ponens,[status(thm)],[391, 384])).
% 13.53/8.71 tff(393,plain,
% 13.53/8.71 (![VarCurr: $i] : (v144(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex2)))))),
% 13.53/8.71 inference(modus_ponens,[status(thm)],[392, 382])).
% 13.53/8.71 tff(394,plain,
% 13.53/8.71 (((~![VarCurr: $i] : (v144(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex2)))))) | (v144(constB95) <=> (~((~v88(constB95, bitIndex2)) | (~v88(constB95, bitIndex1)) | v88(constB95, bitIndex0))))) <=> ((~![VarCurr: $i] : (v144(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex2)))))) | (v144(constB95) <=> (~((~v88(constB95, bitIndex2)) | (~v88(constB95, bitIndex1)) | v88(constB95, bitIndex0)))))),
% 13.53/8.71 inference(rewrite,[status(thm)],[])).
% 13.53/8.71 tff(395,plain,
% 13.53/8.71 ((v144(constB95) <=> (~(v88(constB95, bitIndex0) | (~v88(constB95, bitIndex1)) | (~v88(constB95, bitIndex2))))) <=> (v144(constB95) <=> (~((~v88(constB95, bitIndex2)) | (~v88(constB95, bitIndex1)) | v88(constB95, bitIndex0))))),
% 13.53/8.71 inference(rewrite,[status(thm)],[])).
% 13.53/8.71 tff(396,plain,
% 13.53/8.71 (((~![VarCurr: $i] : (v144(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex2)))))) | (v144(constB95) <=> (~(v88(constB95, bitIndex0) | (~v88(constB95, bitIndex1)) | (~v88(constB95, bitIndex2)))))) <=> ((~![VarCurr: $i] : (v144(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex2)))))) | (v144(constB95) <=> (~((~v88(constB95, bitIndex2)) | (~v88(constB95, bitIndex1)) | v88(constB95, bitIndex0)))))),
% 13.53/8.71 inference(monotonicity,[status(thm)],[395])).
% 13.53/8.71 tff(397,plain,
% 13.53/8.71 (((~![VarCurr: $i] : (v144(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex2)))))) | (v144(constB95) <=> (~(v88(constB95, bitIndex0) | (~v88(constB95, bitIndex1)) | (~v88(constB95, bitIndex2)))))) <=> ((~![VarCurr: $i] : (v144(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex2)))))) | (v144(constB95) <=> (~((~v88(constB95, bitIndex2)) | (~v88(constB95, bitIndex1)) | v88(constB95, bitIndex0)))))),
% 13.53/8.71 inference(transitivity,[status(thm)],[396, 394])).
% 13.53/8.71 tff(398,plain,
% 13.53/8.71 ((~![VarCurr: $i] : (v144(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex2)))))) | (v144(constB95) <=> (~(v88(constB95, bitIndex0) | (~v88(constB95, bitIndex1)) | (~v88(constB95, bitIndex2)))))),
% 13.53/8.71 inference(quant_inst,[status(thm)],[])).
% 13.53/8.71 tff(399,plain,
% 13.53/8.71 ((~![VarCurr: $i] : (v144(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex2)))))) | (v144(constB95) <=> (~((~v88(constB95, bitIndex2)) | (~v88(constB95, bitIndex1)) | v88(constB95, bitIndex0))))),
% 13.53/8.71 inference(modus_ponens,[status(thm)],[398, 397])).
% 13.53/8.71 tff(400,plain,
% 13.53/8.71 (v144(constB95) <=> (~((~v88(constB95, bitIndex2)) | (~v88(constB95, bitIndex1)) | v88(constB95, bitIndex0)))),
% 13.53/8.71 inference(unit_resolution,[status(thm)],[399, 393])).
% 13.53/8.71 tff(401,plain,
% 13.53/8.71 (^[VarCurr: $i, B: $i] : refl(((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B))) <=> ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B))))),
% 13.53/8.71 inference(bind,[status(th)],[])).
% 13.53/8.71 tff(402,plain,
% 13.53/8.71 (![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B))) <=> ![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))),
% 13.53/8.71 inference(quant_intro,[status(thm)],[401])).
% 13.53/8.71 tff(403,plain,
% 13.53/8.71 (![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B))) <=> ![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))),
% 13.53/8.71 inference(rewrite,[status(thm)],[])).
% 13.53/8.71 tff(404,plain,
% 13.53/8.71 (^[VarCurr: $i, B: $i] : rewrite((less_3(B) => (v88(VarCurr, B) <=> v90(VarCurr, B))) <=> ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B))))),
% 13.53/8.71 inference(bind,[status(th)],[])).
% 13.53/8.71 tff(405,plain,
% 13.53/8.71 (![VarCurr: $i, B: $i] : (less_3(B) => (v88(VarCurr, B) <=> v90(VarCurr, B))) <=> ![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))),
% 13.53/8.71 inference(quant_intro,[status(thm)],[404])).
% 13.53/8.71 tff(406,axiom,(![VarCurr: $i, B: $i] : (less_3(B) => (v88(VarCurr, B) <=> v90(VarCurr, B)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','addAssignment_8')).
% 13.53/8.71 tff(407,plain,
% 13.53/8.71 (![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))),
% 13.53/8.71 inference(modus_ponens,[status(thm)],[406, 405])).
% 13.53/8.71 tff(408,plain,
% 13.53/8.71 (![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))),
% 13.53/8.71 inference(modus_ponens,[status(thm)],[407, 403])).
% 13.53/8.71 tff(409,plain,(
% 13.53/8.71 ![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))),
% 13.53/8.71 inference(skolemize,[status(sab)],[408])).
% 13.53/8.71 tff(410,plain,
% 13.53/8.71 (![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))),
% 13.53/8.71 inference(modus_ponens,[status(thm)],[409, 402])).
% 13.53/8.71 tff(411,plain,
% 13.53/8.71 (less_3(bitIndex2) <=> less_3(bitIndex2)),
% 13.53/8.71 inference(rewrite,[status(thm)],[])).
% 13.53/8.71 tff(412,axiom,(less_3(bitIndex2)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','lessPredicateGroundAxiom_5')).
% 13.53/8.71 tff(413,plain,
% 13.53/8.71 (less_3(bitIndex2)),
% 13.53/8.71 inference(modus_ponens,[status(thm)],[412, 411])).
% 13.53/8.71 tff(414,plain,
% 13.53/8.71 (((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | ((~less_3(bitIndex2)) | (v88(constB95, bitIndex2) <=> v90(constB95, bitIndex2)))) <=> ((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | (~less_3(bitIndex2)) | (v88(constB95, bitIndex2) <=> v90(constB95, bitIndex2)))),
% 13.53/8.71 inference(rewrite,[status(thm)],[])).
% 13.53/8.71 tff(415,plain,
% 13.53/8.71 ((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | ((~less_3(bitIndex2)) | (v88(constB95, bitIndex2) <=> v90(constB95, bitIndex2)))),
% 13.53/8.71 inference(quant_inst,[status(thm)],[])).
% 13.53/8.71 tff(416,plain,
% 13.53/8.71 ((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | (~less_3(bitIndex2)) | (v88(constB95, bitIndex2) <=> v90(constB95, bitIndex2))),
% 13.53/8.71 inference(modus_ponens,[status(thm)],[415, 414])).
% 13.53/8.71 tff(417,plain,
% 13.53/8.71 (v88(constB95, bitIndex2) <=> v90(constB95, bitIndex2)),
% 13.53/8.71 inference(unit_resolution,[status(thm)],[416, 413, 410])).
% 13.53/8.71 tff(418,plain,
% 13.53/8.71 (^[VarCurr: $i, VarNext: $i] : refl(((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext)))))) <=> ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext)))))))),
% 13.53/8.71 inference(bind,[status(th)],[])).
% 13.53/8.71 tff(419,plain,
% 13.53/8.71 (![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext)))))) <=> ![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))),
% 13.53/8.71 inference(quant_intro,[status(thm)],[418])).
% 13.53/8.71 tff(420,plain,
% 13.53/8.71 (^[VarCurr: $i, VarNext: $i] : rewrite(((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (v101(VarNext) & v110(VarNext)))) <=> ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext)))))))),
% 13.53/8.71 inference(bind,[status(th)],[])).
% 13.53/8.71 tff(421,plain,
% 13.53/8.71 (![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (v101(VarNext) & v110(VarNext)))) <=> ![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))),
% 13.53/8.71 inference(quant_intro,[status(thm)],[420])).
% 13.53/8.71 tff(422,plain,
% 13.53/8.71 (![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (v101(VarNext) & v110(VarNext)))) <=> ![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (v101(VarNext) & v110(VarNext))))),
% 13.53/8.71 inference(rewrite,[status(thm)],[])).
% 13.53/8.71 tff(423,plain,
% 13.53/8.71 (^[VarCurr: $i, VarNext: $i] : rewrite((nextState(VarCurr, VarNext) => (v100(VarNext) <=> (v101(VarNext) & v110(VarNext)))) <=> ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (v101(VarNext) & v110(VarNext)))))),
% 13.53/8.71 inference(bind,[status(th)],[])).
% 13.53/8.71 tff(424,plain,
% 13.53/8.71 (![VarCurr: $i, VarNext: $i] : (nextState(VarCurr, VarNext) => (v100(VarNext) <=> (v101(VarNext) & v110(VarNext)))) <=> ![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (v101(VarNext) & v110(VarNext))))),
% 13.53/8.71 inference(quant_intro,[status(thm)],[423])).
% 13.53/8.71 tff(425,axiom,(![VarCurr: $i, VarNext: $i] : (nextState(VarCurr, VarNext) => (v100(VarNext) <=> (v101(VarNext) & v110(VarNext))))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','writeBinaryOperatorEqualRangesSingleBits_27')).
% 13.53/8.71 tff(426,plain,
% 13.53/8.71 (![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (v101(VarNext) & v110(VarNext))))),
% 13.53/8.71 inference(modus_ponens,[status(thm)],[425, 424])).
% 13.53/8.71 tff(427,plain,
% 13.53/8.71 (![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (v101(VarNext) & v110(VarNext))))),
% 13.53/8.71 inference(modus_ponens,[status(thm)],[426, 422])).
% 13.53/8.71 tff(428,plain,(
% 13.53/8.71 ![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (v101(VarNext) & v110(VarNext))))),
% 13.53/8.71 inference(skolemize,[status(sab)],[427])).
% 13.53/8.71 tff(429,plain,
% 13.53/8.71 (![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))),
% 13.53/8.71 inference(modus_ponens,[status(thm)],[428, 421])).
% 13.53/8.71 tff(430,plain,
% 13.53/8.71 (![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))),
% 13.53/8.71 inference(modus_ponens,[status(thm)],[429, 419])).
% 13.53/8.71 tff(431,plain,
% 13.53/8.71 (nextState(constB94, constB95) <=> nextState(constB94, constB95)),
% 13.53/8.71 inference(rewrite,[status(thm)],[])).
% 13.53/8.71 tff(432,axiom,(nextState(constB94, constB95)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_94')).
% 13.53/8.71 tff(433,plain,
% 13.53/8.71 (nextState(constB94, constB95)),
% 13.53/8.71 inference(modus_ponens,[status(thm)],[432, 431])).
% 13.53/8.71 tff(434,plain,
% 13.53/8.71 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB94, constB95)) | (v100(constB95) <=> (~((~v101(constB95)) | (~v110(constB95))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB94, constB95)) | (v100(constB95) <=> (~((~v101(constB95)) | (~v110(constB95))))))),
% 13.53/8.71 inference(rewrite,[status(thm)],[])).
% 13.53/8.71 tff(435,plain,
% 13.53/8.71 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB94, constB95)) | (v100(constB95) <=> (~((~v101(constB95)) | (~v110(constB95))))))),
% 13.53/8.72 inference(quant_inst,[status(thm)],[])).
% 13.53/8.72 tff(436,plain,
% 13.53/8.72 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB94, constB95)) | (v100(constB95) <=> (~((~v101(constB95)) | (~v110(constB95)))))),
% 13.53/8.72 inference(modus_ponens,[status(thm)],[435, 434])).
% 13.53/8.72 tff(437,plain,
% 13.53/8.72 (v100(constB95) <=> (~((~v101(constB95)) | (~v110(constB95))))),
% 13.53/8.72 inference(unit_resolution,[status(thm)],[436, 433, 430])).
% 13.53/8.72 tff(438,plain,
% 13.53/8.72 (^[VarCurr: $i, VarNext: $i] : refl(((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext)))))) <=> ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext)))))))),
% 13.53/8.72 inference(bind,[status(th)],[])).
% 13.53/8.72 tff(439,plain,
% 13.53/8.72 (![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext)))))) <=> ![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))),
% 13.53/8.72 inference(quant_intro,[status(thm)],[438])).
% 13.53/8.72 tff(440,plain,
% 13.53/8.72 (^[VarCurr: $i, VarNext: $i] : rewrite(((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (v102(VarNext) & v1(VarNext)))) <=> ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext)))))))),
% 13.53/8.72 inference(bind,[status(th)],[])).
% 13.53/8.72 tff(441,plain,
% 13.53/8.72 (![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (v102(VarNext) & v1(VarNext)))) <=> ![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))),
% 13.53/8.72 inference(quant_intro,[status(thm)],[440])).
% 13.53/8.72 tff(442,plain,
% 13.53/8.72 (![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (v102(VarNext) & v1(VarNext)))) <=> ![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (v102(VarNext) & v1(VarNext))))),
% 13.53/8.72 inference(rewrite,[status(thm)],[])).
% 13.53/8.72 tff(443,plain,
% 13.53/8.72 (^[VarCurr: $i, VarNext: $i] : rewrite((nextState(VarCurr, VarNext) => (v101(VarNext) <=> (v102(VarNext) & v1(VarNext)))) <=> ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (v102(VarNext) & v1(VarNext)))))),
% 13.53/8.72 inference(bind,[status(th)],[])).
% 13.53/8.72 tff(444,plain,
% 13.53/8.72 (![VarCurr: $i, VarNext: $i] : (nextState(VarCurr, VarNext) => (v101(VarNext) <=> (v102(VarNext) & v1(VarNext)))) <=> ![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (v102(VarNext) & v1(VarNext))))),
% 13.53/8.72 inference(quant_intro,[status(thm)],[443])).
% 13.53/8.72 tff(445,axiom,(![VarCurr: $i, VarNext: $i] : (nextState(VarCurr, VarNext) => (v101(VarNext) <=> (v102(VarNext) & v1(VarNext))))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','writeBinaryOperatorEqualRangesSingleBits_18')).
% 13.53/8.72 tff(446,plain,
% 13.53/8.72 (![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (v102(VarNext) & v1(VarNext))))),
% 13.53/8.72 inference(modus_ponens,[status(thm)],[445, 444])).
% 13.53/8.72 tff(447,plain,
% 13.53/8.72 (![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (v102(VarNext) & v1(VarNext))))),
% 13.53/8.72 inference(modus_ponens,[status(thm)],[446, 442])).
% 13.53/8.72 tff(448,plain,(
% 13.53/8.72 ![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (v102(VarNext) & v1(VarNext))))),
% 13.53/8.72 inference(skolemize,[status(sab)],[447])).
% 13.53/8.72 tff(449,plain,
% 13.53/8.72 (![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))),
% 13.53/8.72 inference(modus_ponens,[status(thm)],[448, 441])).
% 13.53/8.72 tff(450,plain,
% 13.53/8.72 (![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))),
% 13.53/8.72 inference(modus_ponens,[status(thm)],[449, 439])).
% 13.53/8.72 tff(451,plain,
% 13.53/8.72 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB94, constB95)) | (v101(constB95) <=> (~((~v1(constB95)) | (~v102(constB95))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB94, constB95)) | (v101(constB95) <=> (~((~v1(constB95)) | (~v102(constB95))))))),
% 13.53/8.72 inference(rewrite,[status(thm)],[])).
% 13.53/8.72 tff(452,plain,
% 13.53/8.72 (((~nextState(constB94, constB95)) | (v101(constB95) <=> (~((~v102(constB95)) | (~v1(constB95)))))) <=> ((~nextState(constB94, constB95)) | (v101(constB95) <=> (~((~v1(constB95)) | (~v102(constB95))))))),
% 13.53/8.72 inference(rewrite,[status(thm)],[])).
% 13.53/8.72 tff(453,plain,
% 13.53/8.72 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB94, constB95)) | (v101(constB95) <=> (~((~v102(constB95)) | (~v1(constB95))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB94, constB95)) | (v101(constB95) <=> (~((~v1(constB95)) | (~v102(constB95)))))))),
% 13.53/8.72 inference(monotonicity,[status(thm)],[452])).
% 13.53/8.72 tff(454,plain,
% 13.53/8.72 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB94, constB95)) | (v101(constB95) <=> (~((~v102(constB95)) | (~v1(constB95))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB94, constB95)) | (v101(constB95) <=> (~((~v1(constB95)) | (~v102(constB95))))))),
% 13.53/8.72 inference(transitivity,[status(thm)],[453, 451])).
% 13.53/8.72 tff(455,plain,
% 13.53/8.72 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB94, constB95)) | (v101(constB95) <=> (~((~v102(constB95)) | (~v1(constB95))))))),
% 13.53/8.72 inference(quant_inst,[status(thm)],[])).
% 13.53/8.72 tff(456,plain,
% 13.53/8.72 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB94, constB95)) | (v101(constB95) <=> (~((~v1(constB95)) | (~v102(constB95)))))),
% 13.53/8.72 inference(modus_ponens,[status(thm)],[455, 454])).
% 13.53/8.72 tff(457,plain,
% 13.53/8.72 (v101(constB95) <=> (~((~v1(constB95)) | (~v102(constB95))))),
% 13.53/8.72 inference(unit_resolution,[status(thm)],[456, 433, 450])).
% 13.53/8.72 tff(458,plain,
% 13.53/8.72 (((~v1(constB95)) | (~v102(constB95))) | v1(constB95)),
% 13.53/8.72 inference(tautology,[status(thm)],[])).
% 13.53/8.72 tff(459,plain,
% 13.53/8.72 ((~v1(constB95)) | (~v102(constB95))),
% 13.53/8.72 inference(unit_resolution,[status(thm)],[458, 316])).
% 13.53/8.72 tff(460,plain,
% 13.53/8.72 ((~(v101(constB95) <=> (~((~v1(constB95)) | (~v102(constB95)))))) | (~v101(constB95)) | (~((~v1(constB95)) | (~v102(constB95))))),
% 13.53/8.72 inference(tautology,[status(thm)],[])).
% 13.53/8.72 tff(461,plain,
% 13.53/8.72 ((~(v101(constB95) <=> (~((~v1(constB95)) | (~v102(constB95)))))) | (~v101(constB95))),
% 13.53/8.72 inference(unit_resolution,[status(thm)],[460, 459])).
% 13.53/8.72 tff(462,plain,
% 13.53/8.72 (~v101(constB95)),
% 13.53/8.72 inference(unit_resolution,[status(thm)],[461, 457])).
% 13.53/8.72 tff(463,plain,
% 13.53/8.72 (((~v101(constB95)) | (~v110(constB95))) | v101(constB95)),
% 13.53/8.72 inference(tautology,[status(thm)],[])).
% 13.53/8.72 tff(464,plain,
% 13.53/8.72 ((~v101(constB95)) | (~v110(constB95))),
% 13.53/8.72 inference(unit_resolution,[status(thm)],[463, 462])).
% 13.53/8.72 tff(465,plain,
% 13.53/8.72 ((~(v100(constB95) <=> (~((~v101(constB95)) | (~v110(constB95)))))) | (~v100(constB95)) | (~((~v101(constB95)) | (~v110(constB95))))),
% 13.53/8.72 inference(tautology,[status(thm)],[])).
% 13.53/8.72 tff(466,plain,
% 13.53/8.72 (~v100(constB95)),
% 13.53/8.72 inference(unit_resolution,[status(thm)],[465, 464, 437])).
% 13.53/8.72 tff(467,plain,
% 13.53/8.72 (^[VarCurr: $i, VarNext: $i] : refl((v100(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v90(VarCurr, B)))) <=> (v100(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v90(VarCurr, B)))))),
% 13.53/8.72 inference(bind,[status(th)],[])).
% 13.53/8.72 tff(468,plain,
% 13.53/8.72 (![VarCurr: $i, VarNext: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v90(VarCurr, B)))) <=> ![VarCurr: $i, VarNext: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v90(VarCurr, B))))),
% 13.53/8.72 inference(quant_intro,[status(thm)],[467])).
% 13.53/8.72 tff(469,plain,
% 13.53/8.72 (^[VarCurr: $i, VarNext: $i] : rewrite((v100(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v90(VarCurr, B)))) <=> (v100(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v90(VarCurr, B)))))),
% 13.53/8.72 inference(bind,[status(th)],[])).
% 13.53/8.72 tff(470,plain,
% 13.53/8.72 (![VarCurr: $i, VarNext: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v90(VarCurr, B)))) <=> ![VarCurr: $i, VarNext: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v90(VarCurr, B))))),
% 13.53/8.72 inference(quant_intro,[status(thm)],[469])).
% 13.53/8.72 tff(471,plain,
% 13.53/8.72 (![VarCurr: $i, VarNext: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v90(VarCurr, B)))) <=> ![VarCurr: $i, VarNext: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v90(VarCurr, B))))),
% 13.53/8.72 inference(transitivity,[status(thm)],[470, 468])).
% 13.53/8.72 tff(472,plain,
% 13.53/8.72 (![VarCurr: $i, VarNext: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v90(VarCurr, B)))) <=> ![VarCurr: $i, VarNext: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v90(VarCurr, B))))),
% 13.53/8.72 inference(rewrite,[status(thm)],[])).
% 13.53/8.72 tff(473,plain,
% 13.53/8.72 (^[VarCurr: $i, VarNext: $i] : trans(monotonicity(trans(monotonicity(quant_intro(proof_bind(^[B: $i] : rewrite((less_3(B) => (v90(VarNext, B) <=> v90(VarCurr, B))) <=> ((~less_3(B)) | (v90(VarNext, B) <=> v90(VarCurr, B))))), (![B: $i] : (less_3(B) => (v90(VarNext, B) <=> v90(VarCurr, B))) <=> ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v90(VarCurr, B))))), (((~v100(VarNext)) => ![B: $i] : (less_3(B) => (v90(VarNext, B) <=> v90(VarCurr, B)))) <=> ((~v100(VarNext)) => ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v90(VarCurr, B)))))), rewrite(((~v100(VarNext)) => ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v90(VarCurr, B)))) <=> (v100(VarNext) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v90(VarCurr, B))))), (((~v100(VarNext)) => ![B: $i] : (less_3(B) => (v90(VarNext, B) <=> v90(VarCurr, B)))) <=> (v100(VarNext) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v90(VarCurr, B)))))), ((nextState(VarCurr, VarNext) => ((~v100(VarNext)) => ![B: $i] : (less_3(B) => (v90(VarNext, B) <=> v90(VarCurr, B))))) <=> (nextState(VarCurr, VarNext) => (v100(VarNext) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v90(VarCurr, B))))))), rewrite((nextState(VarCurr, VarNext) => (v100(VarNext) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v90(VarCurr, B))))) <=> (v100(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v90(VarCurr, B))))), ((nextState(VarCurr, VarNext) => ((~v100(VarNext)) => ![B: $i] : (less_3(B) => (v90(VarNext, B) <=> v90(VarCurr, B))))) <=> (v100(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v90(VarCurr, B))))))),
% 13.53/8.72 inference(bind,[status(th)],[])).
% 13.53/8.72 tff(474,plain,
% 13.53/8.72 (![VarCurr: $i, VarNext: $i] : (nextState(VarCurr, VarNext) => ((~v100(VarNext)) => ![B: $i] : (less_3(B) => (v90(VarNext, B) <=> v90(VarCurr, B))))) <=> ![VarCurr: $i, VarNext: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v90(VarCurr, B))))),
% 13.53/8.72 inference(quant_intro,[status(thm)],[473])).
% 13.53/8.72 tff(475,axiom,(![VarCurr: $i, VarNext: $i] : (nextState(VarCurr, VarNext) => ((~v100(VarNext)) => ![B: $i] : (less_3(B) => (v90(VarNext, B) <=> v90(VarCurr, B)))))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','addCaseBooleanConditionEqualRanges1')).
% 13.53/8.72 tff(476,plain,
% 13.53/8.72 (![VarCurr: $i, VarNext: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v90(VarCurr, B))))),
% 13.53/8.72 inference(modus_ponens,[status(thm)],[475, 474])).
% 13.53/8.72 tff(477,plain,
% 13.53/8.72 (![VarCurr: $i, VarNext: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v90(VarCurr, B))))),
% 13.53/8.72 inference(modus_ponens,[status(thm)],[476, 472])).
% 13.53/8.72 tff(478,plain,(
% 13.53/8.72 ![VarCurr: $i, VarNext: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v90(VarCurr, B))))),
% 13.53/8.72 inference(skolemize,[status(sab)],[477])).
% 13.53/8.72 tff(479,plain,
% 13.53/8.72 (![VarCurr: $i, VarNext: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v90(VarCurr, B))))),
% 13.53/8.72 inference(modus_ponens,[status(thm)],[478, 471])).
% 13.53/8.72 tff(480,plain,
% 13.53/8.72 (((~![VarCurr: $i, VarNext: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v90(VarCurr, B))))) | (v100(constB95) | (~nextState(constB94, constB95)) | ![B: $i] : ((~less_3(B)) | (v90(constB95, B) <=> v90(constB94, B))))) <=> ((~![VarCurr: $i, VarNext: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v90(VarCurr, B))))) | v100(constB95) | (~nextState(constB94, constB95)) | ![B: $i] : ((~less_3(B)) | (v90(constB95, B) <=> v90(constB94, B))))),
% 13.53/8.72 inference(rewrite,[status(thm)],[])).
% 13.53/8.72 tff(481,plain,
% 13.53/8.72 ((~![VarCurr: $i, VarNext: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v90(VarCurr, B))))) | (v100(constB95) | (~nextState(constB94, constB95)) | ![B: $i] : ((~less_3(B)) | (v90(constB95, B) <=> v90(constB94, B))))),
% 13.53/8.72 inference(quant_inst,[status(thm)],[])).
% 13.53/8.72 tff(482,plain,
% 13.53/8.72 ((~![VarCurr: $i, VarNext: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v90(VarCurr, B))))) | v100(constB95) | (~nextState(constB94, constB95)) | ![B: $i] : ((~less_3(B)) | (v90(constB95, B) <=> v90(constB94, B)))),
% 13.53/8.72 inference(modus_ponens,[status(thm)],[481, 480])).
% 13.53/8.72 tff(483,plain,
% 13.53/8.72 (v100(constB95) | ![B: $i] : ((~less_3(B)) | (v90(constB95, B) <=> v90(constB94, B)))),
% 13.53/8.72 inference(unit_resolution,[status(thm)],[482, 433, 479])).
% 13.53/8.72 tff(484,plain,
% 13.53/8.72 (![B: $i] : ((~less_3(B)) | (v90(constB95, B) <=> v90(constB94, B)))),
% 13.53/8.72 inference(unit_resolution,[status(thm)],[483, 466])).
% 13.53/8.72 tff(485,plain,
% 13.53/8.72 (((~![B: $i] : ((~less_3(B)) | (v90(constB95, B) <=> v90(constB94, B)))) | ((~less_3(bitIndex2)) | (v90(constB95, bitIndex2) <=> v90(constB94, bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v90(constB95, B) <=> v90(constB94, B)))) | (~less_3(bitIndex2)) | (v90(constB95, bitIndex2) <=> v90(constB94, bitIndex2)))),
% 13.53/8.72 inference(rewrite,[status(thm)],[])).
% 13.53/8.72 tff(486,plain,
% 13.53/8.72 ((~![B: $i] : ((~less_3(B)) | (v90(constB95, B) <=> v90(constB94, B)))) | ((~less_3(bitIndex2)) | (v90(constB95, bitIndex2) <=> v90(constB94, bitIndex2)))),
% 13.53/8.72 inference(quant_inst,[status(thm)],[])).
% 13.53/8.72 tff(487,plain,
% 13.53/8.72 ((~![B: $i] : ((~less_3(B)) | (v90(constB95, B) <=> v90(constB94, B)))) | (~less_3(bitIndex2)) | (v90(constB95, bitIndex2) <=> v90(constB94, bitIndex2))),
% 13.53/8.72 inference(modus_ponens,[status(thm)],[486, 485])).
% 13.53/8.72 tff(488,plain,
% 13.53/8.72 (v90(constB95, bitIndex2) <=> v90(constB94, bitIndex2)),
% 13.53/8.72 inference(unit_resolution,[status(thm)],[487, 413, 484])).
% 13.53/8.72 tff(489,plain,
% 13.53/8.72 (nextState(constB93, constB94) <=> nextState(constB93, constB94)),
% 13.53/8.72 inference(rewrite,[status(thm)],[])).
% 13.53/8.72 tff(490,axiom,(nextState(constB93, constB94)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_93')).
% 13.53/8.72 tff(491,plain,
% 13.53/8.72 (nextState(constB93, constB94)),
% 13.53/8.72 inference(modus_ponens,[status(thm)],[490, 489])).
% 13.53/8.72 tff(492,plain,
% 13.53/8.72 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB93, constB94)) | (v100(constB94) <=> (~((~v101(constB94)) | (~v110(constB94))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB93, constB94)) | (v100(constB94) <=> (~((~v101(constB94)) | (~v110(constB94))))))),
% 13.53/8.73 inference(rewrite,[status(thm)],[])).
% 13.53/8.73 tff(493,plain,
% 13.53/8.73 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB93, constB94)) | (v100(constB94) <=> (~((~v101(constB94)) | (~v110(constB94))))))),
% 13.53/8.73 inference(quant_inst,[status(thm)],[])).
% 13.53/8.73 tff(494,plain,
% 13.53/8.73 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB93, constB94)) | (v100(constB94) <=> (~((~v101(constB94)) | (~v110(constB94)))))),
% 13.53/8.73 inference(modus_ponens,[status(thm)],[493, 492])).
% 13.53/8.73 tff(495,plain,
% 13.53/8.73 (v100(constB94) <=> (~((~v101(constB94)) | (~v110(constB94))))),
% 13.53/8.73 inference(unit_resolution,[status(thm)],[494, 491, 430])).
% 13.53/8.73 tff(496,plain,
% 13.53/8.73 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB93, constB94)) | (v101(constB94) <=> (~((~v1(constB94)) | (~v102(constB94))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB93, constB94)) | (v101(constB94) <=> (~((~v1(constB94)) | (~v102(constB94))))))),
% 13.53/8.73 inference(rewrite,[status(thm)],[])).
% 13.53/8.73 tff(497,plain,
% 13.53/8.73 (((~nextState(constB93, constB94)) | (v101(constB94) <=> (~((~v102(constB94)) | (~v1(constB94)))))) <=> ((~nextState(constB93, constB94)) | (v101(constB94) <=> (~((~v1(constB94)) | (~v102(constB94))))))),
% 13.53/8.73 inference(rewrite,[status(thm)],[])).
% 13.53/8.73 tff(498,plain,
% 13.53/8.73 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB93, constB94)) | (v101(constB94) <=> (~((~v102(constB94)) | (~v1(constB94))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB93, constB94)) | (v101(constB94) <=> (~((~v1(constB94)) | (~v102(constB94)))))))),
% 13.53/8.73 inference(monotonicity,[status(thm)],[497])).
% 13.53/8.73 tff(499,plain,
% 13.53/8.73 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB93, constB94)) | (v101(constB94) <=> (~((~v102(constB94)) | (~v1(constB94))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB93, constB94)) | (v101(constB94) <=> (~((~v1(constB94)) | (~v102(constB94))))))),
% 13.53/8.73 inference(transitivity,[status(thm)],[498, 496])).
% 13.53/8.73 tff(500,plain,
% 13.53/8.73 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB93, constB94)) | (v101(constB94) <=> (~((~v102(constB94)) | (~v1(constB94))))))),
% 13.53/8.73 inference(quant_inst,[status(thm)],[])).
% 13.53/8.73 tff(501,plain,
% 13.53/8.73 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB93, constB94)) | (v101(constB94) <=> (~((~v1(constB94)) | (~v102(constB94)))))),
% 13.53/8.73 inference(modus_ponens,[status(thm)],[500, 499])).
% 13.53/8.73 tff(502,plain,
% 13.53/8.73 (v101(constB94) <=> (~((~v1(constB94)) | (~v102(constB94))))),
% 13.53/8.73 inference(unit_resolution,[status(thm)],[501, 491, 450])).
% 13.53/8.73 tff(503,plain,
% 13.53/8.73 (^[VarCurr: $i, VarNext: $i] : refl(((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext))) <=> ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext))))),
% 13.53/8.73 inference(bind,[status(th)],[])).
% 13.53/8.73 tff(504,plain,
% 13.53/8.73 (![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext))) <=> ![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))),
% 13.53/8.73 inference(quant_intro,[status(thm)],[503])).
% 13.53/8.73 tff(505,plain,
% 13.53/8.73 (![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext))) <=> ![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))),
% 13.53/8.73 inference(rewrite,[status(thm)],[])).
% 13.53/8.73 tff(506,plain,
% 13.53/8.73 (^[VarCurr: $i, VarNext: $i] : rewrite((nextState(VarCurr, VarNext) => ((~v102(VarNext)) <=> v104(VarNext))) <=> ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext))))),
% 13.53/8.73 inference(bind,[status(th)],[])).
% 13.53/8.73 tff(507,plain,
% 13.53/8.73 (![VarCurr: $i, VarNext: $i] : (nextState(VarCurr, VarNext) => ((~v102(VarNext)) <=> v104(VarNext))) <=> ![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))),
% 13.53/8.73 inference(quant_intro,[status(thm)],[506])).
% 13.53/8.73 tff(508,axiom,(![VarCurr: $i, VarNext: $i] : (nextState(VarCurr, VarNext) => ((~v102(VarNext)) <=> v104(VarNext)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','writeUnaryOperator_12')).
% 13.53/8.73 tff(509,plain,
% 13.53/8.73 (![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))),
% 13.53/8.73 inference(modus_ponens,[status(thm)],[508, 507])).
% 13.53/8.73 tff(510,plain,
% 13.53/8.73 (![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))),
% 13.53/8.73 inference(modus_ponens,[status(thm)],[509, 505])).
% 13.53/8.73 tff(511,plain,(
% 13.53/8.73 ![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))),
% 13.53/8.73 inference(skolemize,[status(sab)],[510])).
% 13.53/8.73 tff(512,plain,
% 13.53/8.73 (![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))),
% 13.53/8.73 inference(modus_ponens,[status(thm)],[511, 504])).
% 13.53/8.73 tff(513,plain,
% 13.53/8.73 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | ((~nextState(constB93, constB94)) | ((~v102(constB94)) <=> v104(constB94)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | (~nextState(constB93, constB94)) | ((~v102(constB94)) <=> v104(constB94)))),
% 13.53/8.73 inference(rewrite,[status(thm)],[])).
% 13.53/8.73 tff(514,plain,
% 13.53/8.73 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | ((~nextState(constB93, constB94)) | ((~v102(constB94)) <=> v104(constB94)))),
% 13.53/8.73 inference(quant_inst,[status(thm)],[])).
% 13.53/8.73 tff(515,plain,
% 13.53/8.73 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | (~nextState(constB93, constB94)) | ((~v102(constB94)) <=> v104(constB94))),
% 13.53/8.73 inference(modus_ponens,[status(thm)],[514, 513])).
% 13.53/8.73 tff(516,plain,
% 13.53/8.73 ((~v102(constB94)) <=> v104(constB94)),
% 13.53/8.73 inference(unit_resolution,[status(thm)],[515, 491, 512])).
% 13.53/8.73 tff(517,plain,
% 13.53/8.73 (^[VarCurr: $i, VarNext: $i] : refl(((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr))) <=> ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr))))),
% 13.53/8.73 inference(bind,[status(th)],[])).
% 13.53/8.73 tff(518,plain,
% 13.53/8.73 (![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr))) <=> ![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))),
% 13.53/8.73 inference(quant_intro,[status(thm)],[517])).
% 13.53/8.73 tff(519,plain,
% 13.53/8.73 (![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr))) <=> ![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))),
% 13.53/8.73 inference(rewrite,[status(thm)],[])).
% 13.53/8.73 tff(520,plain,
% 13.53/8.73 (^[VarCurr: $i, VarNext: $i] : rewrite((nextState(VarCurr, VarNext) => (v104(VarNext) <=> v1(VarCurr))) <=> ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr))))),
% 13.53/8.73 inference(bind,[status(th)],[])).
% 13.53/8.73 tff(521,plain,
% 13.53/8.73 (![VarCurr: $i, VarNext: $i] : (nextState(VarCurr, VarNext) => (v104(VarNext) <=> v1(VarCurr))) <=> ![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))),
% 13.53/8.73 inference(quant_intro,[status(thm)],[520])).
% 13.53/8.73 tff(522,axiom,(![VarCurr: $i, VarNext: $i] : (nextState(VarCurr, VarNext) => (v104(VarNext) <=> v1(VarCurr)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','addAssignment_5')).
% 13.53/8.73 tff(523,plain,
% 13.53/8.73 (![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))),
% 13.53/8.73 inference(modus_ponens,[status(thm)],[522, 521])).
% 13.53/8.73 tff(524,plain,
% 13.53/8.73 (![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))),
% 13.53/8.73 inference(modus_ponens,[status(thm)],[523, 519])).
% 13.53/8.73 tff(525,plain,(
% 13.53/8.73 ![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))),
% 13.53/8.73 inference(skolemize,[status(sab)],[524])).
% 13.53/8.73 tff(526,plain,
% 13.53/8.73 (![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))),
% 13.53/8.73 inference(modus_ponens,[status(thm)],[525, 518])).
% 13.53/8.73 tff(527,plain,
% 13.53/8.73 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB93, constB94)) | (v104(constB94) <=> v1(constB93)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | (~nextState(constB93, constB94)) | (v104(constB94) <=> v1(constB93)))),
% 13.53/8.73 inference(rewrite,[status(thm)],[])).
% 13.53/8.73 tff(528,plain,
% 13.53/8.73 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB93, constB94)) | (v104(constB94) <=> v1(constB93)))),
% 13.53/8.73 inference(quant_inst,[status(thm)],[])).
% 13.53/8.73 tff(529,plain,
% 13.53/8.73 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | (~nextState(constB93, constB94)) | (v104(constB94) <=> v1(constB93))),
% 13.53/8.73 inference(modus_ponens,[status(thm)],[528, 527])).
% 13.53/8.73 tff(530,plain,
% 13.53/8.73 (v104(constB94) <=> v1(constB93)),
% 13.53/8.73 inference(unit_resolution,[status(thm)],[529, 491, 526])).
% 13.53/8.73 tff(531,plain,
% 13.53/8.73 ((~v1(constB93)) <=> (~v1(constB93))),
% 13.53/8.73 inference(rewrite,[status(thm)],[])).
% 13.53/8.73 tff(532,axiom,(~v1(constB93)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_93')).
% 13.53/8.73 tff(533,plain,
% 13.53/8.73 (~v1(constB93)),
% 13.53/8.73 inference(modus_ponens,[status(thm)],[532, 531])).
% 13.53/8.73 tff(534,plain,
% 13.53/8.73 ((~(v104(constB94) <=> v1(constB93))) | (~v104(constB94)) | v1(constB93)),
% 13.53/8.73 inference(tautology,[status(thm)],[])).
% 13.53/8.73 tff(535,plain,
% 13.53/8.73 ((~(v104(constB94) <=> v1(constB93))) | (~v104(constB94))),
% 13.53/8.73 inference(unit_resolution,[status(thm)],[534, 533])).
% 13.53/8.73 tff(536,plain,
% 13.53/8.73 (~v104(constB94)),
% 13.53/8.73 inference(unit_resolution,[status(thm)],[535, 530])).
% 13.53/8.73 tff(537,plain,
% 13.53/8.73 ((~((~v102(constB94)) <=> v104(constB94))) | v102(constB94) | v104(constB94)),
% 13.53/8.73 inference(tautology,[status(thm)],[])).
% 13.53/8.73 tff(538,plain,
% 13.53/8.73 (v102(constB94)),
% 13.53/8.73 inference(unit_resolution,[status(thm)],[537, 536, 516])).
% 13.53/8.73 tff(539,plain,
% 13.53/8.73 (v1(constB94) <=> v1(constB94)),
% 13.53/8.73 inference(rewrite,[status(thm)],[])).
% 13.53/8.73 tff(540,axiom,(v1(constB94)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_94')).
% 13.53/8.73 tff(541,plain,
% 13.53/8.73 (v1(constB94)),
% 13.53/8.73 inference(modus_ponens,[status(thm)],[540, 539])).
% 13.53/8.73 tff(542,plain,
% 13.53/8.73 ((~((~v1(constB94)) | (~v102(constB94)))) | (~v1(constB94)) | (~v102(constB94))),
% 13.53/8.73 inference(tautology,[status(thm)],[])).
% 13.53/8.73 tff(543,plain,
% 13.53/8.73 ((~((~v1(constB94)) | (~v102(constB94)))) | (~v102(constB94))),
% 13.53/8.73 inference(unit_resolution,[status(thm)],[542, 541])).
% 13.53/8.73 tff(544,plain,
% 13.53/8.73 (~((~v1(constB94)) | (~v102(constB94)))),
% 13.53/8.73 inference(unit_resolution,[status(thm)],[543, 538])).
% 13.53/8.73 tff(545,plain,
% 13.53/8.73 ((~(v101(constB94) <=> (~((~v1(constB94)) | (~v102(constB94)))))) | v101(constB94) | ((~v1(constB94)) | (~v102(constB94)))),
% 13.53/8.73 inference(tautology,[status(thm)],[])).
% 13.53/8.73 tff(546,plain,
% 13.53/8.73 (v101(constB94)),
% 13.53/8.73 inference(unit_resolution,[status(thm)],[545, 544, 502])).
% 13.53/8.73 tff(547,plain,
% 13.53/8.73 (^[VarCurr: $i, VarNext: $i] : refl(((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr))) <=> ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr))))),
% 13.53/8.73 inference(bind,[status(th)],[])).
% 13.53/8.73 tff(548,plain,
% 13.53/8.73 (![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr))) <=> ![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))),
% 13.53/8.73 inference(quant_intro,[status(thm)],[547])).
% 13.53/8.73 tff(549,plain,
% 13.53/8.73 (![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr))) <=> ![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))),
% 13.53/8.73 inference(rewrite,[status(thm)],[])).
% 13.53/8.73 tff(550,plain,
% 13.53/8.73 (^[VarCurr: $i, VarNext: $i] : rewrite((nextState(VarCurr, VarNext) => (v110(VarNext) <=> v108(VarCurr))) <=> ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr))))),
% 13.53/8.73 inference(bind,[status(th)],[])).
% 13.53/8.73 tff(551,plain,
% 13.53/8.73 (![VarCurr: $i, VarNext: $i] : (nextState(VarCurr, VarNext) => (v110(VarNext) <=> v108(VarCurr))) <=> ![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))),
% 13.53/8.73 inference(quant_intro,[status(thm)],[550])).
% 13.53/8.73 tff(552,axiom,(![VarCurr: $i, VarNext: $i] : (nextState(VarCurr, VarNext) => (v110(VarNext) <=> v108(VarCurr)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','addAssignment_6')).
% 13.53/8.73 tff(553,plain,
% 13.53/8.73 (![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))),
% 13.53/8.73 inference(modus_ponens,[status(thm)],[552, 551])).
% 13.53/8.73 tff(554,plain,
% 13.53/8.73 (![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))),
% 13.53/8.73 inference(modus_ponens,[status(thm)],[553, 549])).
% 13.53/8.73 tff(555,plain,(
% 13.53/8.73 ![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))),
% 13.53/8.73 inference(skolemize,[status(sab)],[554])).
% 13.53/8.73 tff(556,plain,
% 13.53/8.73 (![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))),
% 13.53/8.73 inference(modus_ponens,[status(thm)],[555, 548])).
% 13.53/8.73 tff(557,plain,
% 13.53/8.73 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | ((~nextState(constB93, constB94)) | (v110(constB94) <=> v108(constB93)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | (~nextState(constB93, constB94)) | (v110(constB94) <=> v108(constB93)))),
% 13.53/8.73 inference(rewrite,[status(thm)],[])).
% 13.53/8.73 tff(558,plain,
% 13.53/8.73 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | ((~nextState(constB93, constB94)) | (v110(constB94) <=> v108(constB93)))),
% 13.53/8.73 inference(quant_inst,[status(thm)],[])).
% 13.53/8.73 tff(559,plain,
% 13.53/8.73 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | (~nextState(constB93, constB94)) | (v110(constB94) <=> v108(constB93))),
% 13.53/8.73 inference(modus_ponens,[status(thm)],[558, 557])).
% 13.53/8.73 tff(560,plain,
% 13.53/8.73 (v110(constB94) <=> v108(constB93)),
% 13.53/8.73 inference(unit_resolution,[status(thm)],[559, 491, 556])).
% 13.53/8.73 tff(561,plain,
% 13.53/8.73 (^[VarCurr: $i] : refl((v108(VarCurr) <=> (v111(VarCurr) | v112(VarCurr))) <=> (v108(VarCurr) <=> (v111(VarCurr) | v112(VarCurr))))),
% 13.53/8.73 inference(bind,[status(th)],[])).
% 13.53/8.73 tff(562,plain,
% 13.53/8.73 (![VarCurr: $i] : (v108(VarCurr) <=> (v111(VarCurr) | v112(VarCurr))) <=> ![VarCurr: $i] : (v108(VarCurr) <=> (v111(VarCurr) | v112(VarCurr)))),
% 13.53/8.73 inference(quant_intro,[status(thm)],[561])).
% 13.53/8.73 tff(563,plain,
% 13.53/8.73 (![VarCurr: $i] : (v108(VarCurr) <=> (v111(VarCurr) | v112(VarCurr))) <=> ![VarCurr: $i] : (v108(VarCurr) <=> (v111(VarCurr) | v112(VarCurr)))),
% 13.53/8.73 inference(rewrite,[status(thm)],[])).
% 13.53/8.73 tff(564,axiom,(![VarCurr: $i] : (v108(VarCurr) <=> (v111(VarCurr) | v112(VarCurr)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','writeBinaryOperatorEqualRangesSingleBits_26')).
% 13.53/8.73 tff(565,plain,
% 13.53/8.73 (![VarCurr: $i] : (v108(VarCurr) <=> (v111(VarCurr) | v112(VarCurr)))),
% 13.53/8.73 inference(modus_ponens,[status(thm)],[564, 563])).
% 13.53/8.73 tff(566,plain,(
% 13.53/8.73 ![VarCurr: $i] : (v108(VarCurr) <=> (v111(VarCurr) | v112(VarCurr)))),
% 13.53/8.73 inference(skolemize,[status(sab)],[565])).
% 13.53/8.73 tff(567,plain,
% 13.53/8.73 (![VarCurr: $i] : (v108(VarCurr) <=> (v111(VarCurr) | v112(VarCurr)))),
% 13.53/8.73 inference(modus_ponens,[status(thm)],[566, 562])).
% 13.53/8.73 tff(568,plain,
% 13.53/8.73 ((~![VarCurr: $i] : (v108(VarCurr) <=> (v111(VarCurr) | v112(VarCurr)))) | (v108(constB93) <=> (v111(constB93) | v112(constB93)))),
% 13.53/8.73 inference(quant_inst,[status(thm)],[])).
% 13.53/8.73 tff(569,plain,
% 13.53/8.73 (v108(constB93) <=> (v111(constB93) | v112(constB93))),
% 13.53/8.73 inference(unit_resolution,[status(thm)],[568, 567])).
% 13.53/8.73 tff(570,plain,
% 13.53/8.73 (^[VarCurr: $i] : refl((v112(VarCurr) <=> (~((~v113(VarCurr)) | (~v126(VarCurr))))) <=> (v112(VarCurr) <=> (~((~v113(VarCurr)) | (~v126(VarCurr))))))),
% 13.53/8.73 inference(bind,[status(th)],[])).
% 13.53/8.73 tff(571,plain,
% 13.53/8.73 (![VarCurr: $i] : (v112(VarCurr) <=> (~((~v113(VarCurr)) | (~v126(VarCurr))))) <=> ![VarCurr: $i] : (v112(VarCurr) <=> (~((~v113(VarCurr)) | (~v126(VarCurr)))))),
% 13.53/8.73 inference(quant_intro,[status(thm)],[570])).
% 13.53/8.73 tff(572,plain,
% 13.53/8.73 (^[VarCurr: $i] : rewrite((v112(VarCurr) <=> (v113(VarCurr) & v126(VarCurr))) <=> (v112(VarCurr) <=> (~((~v113(VarCurr)) | (~v126(VarCurr))))))),
% 13.53/8.73 inference(bind,[status(th)],[])).
% 13.53/8.73 tff(573,plain,
% 13.53/8.73 (![VarCurr: $i] : (v112(VarCurr) <=> (v113(VarCurr) & v126(VarCurr))) <=> ![VarCurr: $i] : (v112(VarCurr) <=> (~((~v113(VarCurr)) | (~v126(VarCurr)))))),
% 13.53/8.73 inference(quant_intro,[status(thm)],[572])).
% 13.53/8.73 tff(574,plain,
% 13.53/8.73 (![VarCurr: $i] : (v112(VarCurr) <=> (v113(VarCurr) & v126(VarCurr))) <=> ![VarCurr: $i] : (v112(VarCurr) <=> (v113(VarCurr) & v126(VarCurr)))),
% 13.53/8.73 inference(rewrite,[status(thm)],[])).
% 13.53/8.73 tff(575,axiom,(![VarCurr: $i] : (v112(VarCurr) <=> (v113(VarCurr) & v126(VarCurr)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','writeBinaryOperatorEqualRangesSingleBits_25')).
% 13.53/8.73 tff(576,plain,
% 13.53/8.73 (![VarCurr: $i] : (v112(VarCurr) <=> (v113(VarCurr) & v126(VarCurr)))),
% 13.53/8.73 inference(modus_ponens,[status(thm)],[575, 574])).
% 13.53/8.73 tff(577,plain,(
% 13.53/8.73 ![VarCurr: $i] : (v112(VarCurr) <=> (v113(VarCurr) & v126(VarCurr)))),
% 13.53/8.73 inference(skolemize,[status(sab)],[576])).
% 13.53/8.73 tff(578,plain,
% 13.53/8.73 (![VarCurr: $i] : (v112(VarCurr) <=> (~((~v113(VarCurr)) | (~v126(VarCurr)))))),
% 13.53/8.73 inference(modus_ponens,[status(thm)],[577, 573])).
% 13.53/8.73 tff(579,plain,
% 13.53/8.73 (![VarCurr: $i] : (v112(VarCurr) <=> (~((~v113(VarCurr)) | (~v126(VarCurr)))))),
% 13.53/8.73 inference(modus_ponens,[status(thm)],[578, 571])).
% 13.53/8.73 tff(580,plain,
% 13.53/8.73 ((~![VarCurr: $i] : (v112(VarCurr) <=> (~((~v113(VarCurr)) | (~v126(VarCurr)))))) | (v112(constB93) <=> (~((~v113(constB93)) | (~v126(constB93)))))),
% 13.53/8.73 inference(quant_inst,[status(thm)],[])).
% 13.53/8.73 tff(581,plain,
% 13.53/8.73 (v112(constB93) <=> (~((~v113(constB93)) | (~v126(constB93))))),
% 13.53/8.73 inference(unit_resolution,[status(thm)],[580, 579])).
% 13.53/8.73 tff(582,plain,
% 13.53/8.73 (^[VarCurr: $i] : refl((v113(VarCurr) <=> (v114(VarCurr) | v125(VarCurr))) <=> (v113(VarCurr) <=> (v114(VarCurr) | v125(VarCurr))))),
% 13.53/8.73 inference(bind,[status(th)],[])).
% 13.53/8.73 tff(583,plain,
% 13.53/8.73 (![VarCurr: $i] : (v113(VarCurr) <=> (v114(VarCurr) | v125(VarCurr))) <=> ![VarCurr: $i] : (v113(VarCurr) <=> (v114(VarCurr) | v125(VarCurr)))),
% 13.53/8.73 inference(quant_intro,[status(thm)],[582])).
% 13.53/8.73 tff(584,plain,
% 13.53/8.73 (![VarCurr: $i] : (v113(VarCurr) <=> (v114(VarCurr) | v125(VarCurr))) <=> ![VarCurr: $i] : (v113(VarCurr) <=> (v114(VarCurr) | v125(VarCurr)))),
% 13.53/8.73 inference(rewrite,[status(thm)],[])).
% 13.53/8.73 tff(585,axiom,(![VarCurr: $i] : (v113(VarCurr) <=> (v114(VarCurr) | v125(VarCurr)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','writeBinaryOperatorEqualRangesSingleBits_24')).
% 13.53/8.73 tff(586,plain,
% 13.53/8.73 (![VarCurr: $i] : (v113(VarCurr) <=> (v114(VarCurr) | v125(VarCurr)))),
% 13.53/8.73 inference(modus_ponens,[status(thm)],[585, 584])).
% 13.53/8.73 tff(587,plain,(
% 13.53/8.73 ![VarCurr: $i] : (v113(VarCurr) <=> (v114(VarCurr) | v125(VarCurr)))),
% 13.53/8.73 inference(skolemize,[status(sab)],[586])).
% 13.53/8.73 tff(588,plain,
% 13.53/8.73 (![VarCurr: $i] : (v113(VarCurr) <=> (v114(VarCurr) | v125(VarCurr)))),
% 13.53/8.73 inference(modus_ponens,[status(thm)],[587, 583])).
% 13.53/8.73 tff(589,plain,
% 13.53/8.73 ((~![VarCurr: $i] : (v113(VarCurr) <=> (v114(VarCurr) | v125(VarCurr)))) | (v113(constB93) <=> (v114(constB93) | v125(constB93)))),
% 13.53/8.73 inference(quant_inst,[status(thm)],[])).
% 13.53/8.73 tff(590,plain,
% 13.53/8.73 (v113(constB93) <=> (v114(constB93) | v125(constB93))),
% 13.53/8.73 inference(unit_resolution,[status(thm)],[589, 588])).
% 13.53/8.73 tff(591,plain,
% 13.53/8.73 (^[VarCurr: $i] : refl((v114(VarCurr) <=> (v115(VarCurr) | v124(VarCurr))) <=> (v114(VarCurr) <=> (v115(VarCurr) | v124(VarCurr))))),
% 13.53/8.74 inference(bind,[status(th)],[])).
% 13.53/8.74 tff(592,plain,
% 13.53/8.74 (![VarCurr: $i] : (v114(VarCurr) <=> (v115(VarCurr) | v124(VarCurr))) <=> ![VarCurr: $i] : (v114(VarCurr) <=> (v115(VarCurr) | v124(VarCurr)))),
% 13.53/8.74 inference(quant_intro,[status(thm)],[591])).
% 13.53/8.74 tff(593,plain,
% 13.53/8.74 (![VarCurr: $i] : (v114(VarCurr) <=> (v115(VarCurr) | v124(VarCurr))) <=> ![VarCurr: $i] : (v114(VarCurr) <=> (v115(VarCurr) | v124(VarCurr)))),
% 13.53/8.74 inference(rewrite,[status(thm)],[])).
% 13.53/8.74 tff(594,axiom,(![VarCurr: $i] : (v114(VarCurr) <=> (v115(VarCurr) | v124(VarCurr)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','writeBinaryOperatorEqualRangesSingleBits_23')).
% 13.53/8.74 tff(595,plain,
% 13.53/8.74 (![VarCurr: $i] : (v114(VarCurr) <=> (v115(VarCurr) | v124(VarCurr)))),
% 13.53/8.74 inference(modus_ponens,[status(thm)],[594, 593])).
% 13.53/8.74 tff(596,plain,(
% 13.53/8.74 ![VarCurr: $i] : (v114(VarCurr) <=> (v115(VarCurr) | v124(VarCurr)))),
% 13.53/8.74 inference(skolemize,[status(sab)],[595])).
% 13.53/8.74 tff(597,plain,
% 13.53/8.74 (![VarCurr: $i] : (v114(VarCurr) <=> (v115(VarCurr) | v124(VarCurr)))),
% 13.53/8.74 inference(modus_ponens,[status(thm)],[596, 592])).
% 13.53/8.74 tff(598,plain,
% 13.53/8.74 ((~![VarCurr: $i] : (v114(VarCurr) <=> (v115(VarCurr) | v124(VarCurr)))) | (v114(constB93) <=> (v115(constB93) | v124(constB93)))),
% 13.53/8.74 inference(quant_inst,[status(thm)],[])).
% 13.53/8.74 tff(599,plain,
% 13.53/8.74 (v114(constB93) <=> (v115(constB93) | v124(constB93))),
% 13.53/8.74 inference(unit_resolution,[status(thm)],[598, 597])).
% 13.53/8.74 tff(600,plain,
% 13.53/8.74 (^[VarCurr: $i] : refl((v115(VarCurr) <=> (v116(VarCurr) | v123(VarCurr))) <=> (v115(VarCurr) <=> (v116(VarCurr) | v123(VarCurr))))),
% 13.53/8.74 inference(bind,[status(th)],[])).
% 13.53/8.74 tff(601,plain,
% 13.53/8.74 (![VarCurr: $i] : (v115(VarCurr) <=> (v116(VarCurr) | v123(VarCurr))) <=> ![VarCurr: $i] : (v115(VarCurr) <=> (v116(VarCurr) | v123(VarCurr)))),
% 13.53/8.74 inference(quant_intro,[status(thm)],[600])).
% 13.53/8.74 tff(602,plain,
% 13.53/8.74 (![VarCurr: $i] : (v115(VarCurr) <=> (v116(VarCurr) | v123(VarCurr))) <=> ![VarCurr: $i] : (v115(VarCurr) <=> (v116(VarCurr) | v123(VarCurr)))),
% 13.53/8.74 inference(rewrite,[status(thm)],[])).
% 13.53/8.74 tff(603,axiom,(![VarCurr: $i] : (v115(VarCurr) <=> (v116(VarCurr) | v123(VarCurr)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','writeBinaryOperatorEqualRangesSingleBits_22')).
% 13.53/8.74 tff(604,plain,
% 13.53/8.74 (![VarCurr: $i] : (v115(VarCurr) <=> (v116(VarCurr) | v123(VarCurr)))),
% 13.53/8.74 inference(modus_ponens,[status(thm)],[603, 602])).
% 13.53/8.74 tff(605,plain,(
% 13.53/8.74 ![VarCurr: $i] : (v115(VarCurr) <=> (v116(VarCurr) | v123(VarCurr)))),
% 13.53/8.74 inference(skolemize,[status(sab)],[604])).
% 13.53/8.74 tff(606,plain,
% 13.53/8.74 (![VarCurr: $i] : (v115(VarCurr) <=> (v116(VarCurr) | v123(VarCurr)))),
% 13.53/8.74 inference(modus_ponens,[status(thm)],[605, 601])).
% 13.53/8.74 tff(607,plain,
% 13.53/8.74 ((~![VarCurr: $i] : (v115(VarCurr) <=> (v116(VarCurr) | v123(VarCurr)))) | (v115(constB93) <=> (v116(constB93) | v123(constB93)))),
% 13.53/8.74 inference(quant_inst,[status(thm)],[])).
% 13.53/8.74 tff(608,plain,
% 13.53/8.74 (v115(constB93) <=> (v116(constB93) | v123(constB93))),
% 13.53/8.74 inference(unit_resolution,[status(thm)],[607, 606])).
% 13.53/8.74 tff(609,plain,
% 13.53/8.74 (^[VarCurr: $i] : refl((v123(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2))))) <=> (v123(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2))))))),
% 13.53/8.74 inference(bind,[status(th)],[])).
% 13.53/8.74 tff(610,plain,
% 13.53/8.74 (![VarCurr: $i] : (v123(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2))))) <=> ![VarCurr: $i] : (v123(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)))))),
% 13.53/8.74 inference(quant_intro,[status(thm)],[609])).
% 13.53/8.74 tff(611,plain,
% 13.53/8.74 (^[VarCurr: $i] : rewrite((v123(VarCurr) <=> (v90(VarCurr, bitIndex2) & (~v90(VarCurr, bitIndex1)) & (~v90(VarCurr, bitIndex0)))) <=> (v123(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2))))))),
% 13.53/8.74 inference(bind,[status(th)],[])).
% 13.53/8.74 tff(612,plain,
% 13.53/8.74 (![VarCurr: $i] : (v123(VarCurr) <=> (v90(VarCurr, bitIndex2) & (~v90(VarCurr, bitIndex1)) & (~v90(VarCurr, bitIndex0)))) <=> ![VarCurr: $i] : (v123(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)))))),
% 13.53/8.74 inference(quant_intro,[status(thm)],[611])).
% 13.53/8.74 tff(613,plain,
% 13.53/8.74 (![VarCurr: $i] : (v123(VarCurr) <=> (v90(VarCurr, bitIndex2) & (~v90(VarCurr, bitIndex1)) & (~v90(VarCurr, bitIndex0)))) <=> ![VarCurr: $i] : (v123(VarCurr) <=> (v90(VarCurr, bitIndex2) & (~v90(VarCurr, bitIndex1)) & (~v90(VarCurr, bitIndex0))))),
% 13.53/8.74 inference(rewrite,[status(thm)],[])).
% 13.53/8.74 tff(614,plain,
% 13.53/8.74 (^[VarCurr: $i] : rewrite((v123(VarCurr) <=> (((v90(VarCurr, bitIndex2) <=> $true) & (v90(VarCurr, bitIndex1) <=> $false)) & (v90(VarCurr, bitIndex0) <=> $false))) <=> (v123(VarCurr) <=> (v90(VarCurr, bitIndex2) & (~v90(VarCurr, bitIndex1)) & (~v90(VarCurr, bitIndex0)))))),
% 13.53/8.74 inference(bind,[status(th)],[])).
% 13.53/8.74 tff(615,plain,
% 13.53/8.74 (![VarCurr: $i] : (v123(VarCurr) <=> (((v90(VarCurr, bitIndex2) <=> $true) & (v90(VarCurr, bitIndex1) <=> $false)) & (v90(VarCurr, bitIndex0) <=> $false))) <=> ![VarCurr: $i] : (v123(VarCurr) <=> (v90(VarCurr, bitIndex2) & (~v90(VarCurr, bitIndex1)) & (~v90(VarCurr, bitIndex0))))),
% 13.53/8.74 inference(quant_intro,[status(thm)],[614])).
% 13.53/8.74 tff(616,axiom,(![VarCurr: $i] : (v123(VarCurr) <=> (((v90(VarCurr, bitIndex2) <=> $true) & (v90(VarCurr, bitIndex1) <=> $false)) & (v90(VarCurr, bitIndex0) <=> $false)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','addBitVectorEqualityBitBlasted_6')).
% 13.53/8.74 tff(617,plain,
% 13.53/8.74 (![VarCurr: $i] : (v123(VarCurr) <=> (v90(VarCurr, bitIndex2) & (~v90(VarCurr, bitIndex1)) & (~v90(VarCurr, bitIndex0))))),
% 13.53/8.74 inference(modus_ponens,[status(thm)],[616, 615])).
% 13.53/8.74 tff(618,plain,
% 13.53/8.74 (![VarCurr: $i] : (v123(VarCurr) <=> (v90(VarCurr, bitIndex2) & (~v90(VarCurr, bitIndex1)) & (~v90(VarCurr, bitIndex0))))),
% 13.53/8.74 inference(modus_ponens,[status(thm)],[617, 613])).
% 13.53/8.74 tff(619,plain,(
% 13.53/8.74 ![VarCurr: $i] : (v123(VarCurr) <=> (v90(VarCurr, bitIndex2) & (~v90(VarCurr, bitIndex1)) & (~v90(VarCurr, bitIndex0))))),
% 13.53/8.74 inference(skolemize,[status(sab)],[618])).
% 13.53/8.74 tff(620,plain,
% 13.53/8.74 (![VarCurr: $i] : (v123(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)))))),
% 13.53/8.74 inference(modus_ponens,[status(thm)],[619, 612])).
% 13.53/8.74 tff(621,plain,
% 13.53/8.74 (![VarCurr: $i] : (v123(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)))))),
% 13.53/8.74 inference(modus_ponens,[status(thm)],[620, 610])).
% 13.53/8.74 tff(622,plain,
% 13.53/8.74 (((~![VarCurr: $i] : (v123(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)))))) | (v123(constB93) <=> (~((~v90(constB93, bitIndex2)) | v90(constB93, bitIndex1) | v90(constB93, bitIndex0))))) <=> ((~![VarCurr: $i] : (v123(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)))))) | (v123(constB93) <=> (~((~v90(constB93, bitIndex2)) | v90(constB93, bitIndex1) | v90(constB93, bitIndex0)))))),
% 13.53/8.74 inference(rewrite,[status(thm)],[])).
% 13.53/8.74 tff(623,plain,
% 13.53/8.74 ((v123(constB93) <=> (~(v90(constB93, bitIndex0) | v90(constB93, bitIndex1) | (~v90(constB93, bitIndex2))))) <=> (v123(constB93) <=> (~((~v90(constB93, bitIndex2)) | v90(constB93, bitIndex1) | v90(constB93, bitIndex0))))),
% 13.53/8.74 inference(rewrite,[status(thm)],[])).
% 13.53/8.74 tff(624,plain,
% 13.53/8.74 (((~![VarCurr: $i] : (v123(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)))))) | (v123(constB93) <=> (~(v90(constB93, bitIndex0) | v90(constB93, bitIndex1) | (~v90(constB93, bitIndex2)))))) <=> ((~![VarCurr: $i] : (v123(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)))))) | (v123(constB93) <=> (~((~v90(constB93, bitIndex2)) | v90(constB93, bitIndex1) | v90(constB93, bitIndex0)))))),
% 13.53/8.74 inference(monotonicity,[status(thm)],[623])).
% 13.53/8.74 tff(625,plain,
% 13.53/8.74 (((~![VarCurr: $i] : (v123(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)))))) | (v123(constB93) <=> (~(v90(constB93, bitIndex0) | v90(constB93, bitIndex1) | (~v90(constB93, bitIndex2)))))) <=> ((~![VarCurr: $i] : (v123(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)))))) | (v123(constB93) <=> (~((~v90(constB93, bitIndex2)) | v90(constB93, bitIndex1) | v90(constB93, bitIndex0)))))),
% 13.53/8.74 inference(transitivity,[status(thm)],[624, 622])).
% 13.53/8.74 tff(626,plain,
% 13.53/8.74 ((~![VarCurr: $i] : (v123(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)))))) | (v123(constB93) <=> (~(v90(constB93, bitIndex0) | v90(constB93, bitIndex1) | (~v90(constB93, bitIndex2)))))),
% 13.53/8.74 inference(quant_inst,[status(thm)],[])).
% 13.53/8.74 tff(627,plain,
% 13.53/8.74 ((~![VarCurr: $i] : (v123(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)))))) | (v123(constB93) <=> (~((~v90(constB93, bitIndex2)) | v90(constB93, bitIndex1) | v90(constB93, bitIndex0))))),
% 13.53/8.74 inference(modus_ponens,[status(thm)],[626, 625])).
% 13.53/8.74 tff(628,plain,
% 13.53/8.74 (v123(constB93) <=> (~((~v90(constB93, bitIndex2)) | v90(constB93, bitIndex1) | v90(constB93, bitIndex0)))),
% 13.53/8.74 inference(unit_resolution,[status(thm)],[627, 621])).
% 13.53/8.74 tff(629,plain,
% 13.53/8.74 (nextState(constB92, constB93) <=> nextState(constB92, constB93)),
% 13.53/8.74 inference(rewrite,[status(thm)],[])).
% 13.53/8.74 tff(630,axiom,(nextState(constB92, constB93)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_92')).
% 13.53/8.74 tff(631,plain,
% 13.53/8.74 (nextState(constB92, constB93)),
% 13.53/8.74 inference(modus_ponens,[status(thm)],[630, 629])).
% 13.53/8.74 tff(632,plain,
% 13.53/8.74 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB92, constB93)) | (v100(constB93) <=> (~((~v101(constB93)) | (~v110(constB93))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB92, constB93)) | (v100(constB93) <=> (~((~v101(constB93)) | (~v110(constB93))))))),
% 13.53/8.74 inference(rewrite,[status(thm)],[])).
% 13.53/8.74 tff(633,plain,
% 13.53/8.74 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB92, constB93)) | (v100(constB93) <=> (~((~v101(constB93)) | (~v110(constB93))))))),
% 13.53/8.74 inference(quant_inst,[status(thm)],[])).
% 13.53/8.74 tff(634,plain,
% 13.53/8.74 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB92, constB93)) | (v100(constB93) <=> (~((~v101(constB93)) | (~v110(constB93)))))),
% 13.53/8.74 inference(modus_ponens,[status(thm)],[633, 632])).
% 13.53/8.74 tff(635,plain,
% 13.53/8.74 (v100(constB93) <=> (~((~v101(constB93)) | (~v110(constB93))))),
% 13.53/8.74 inference(unit_resolution,[status(thm)],[634, 631, 430])).
% 13.53/8.74 tff(636,plain,
% 13.53/8.74 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB92, constB93)) | (v101(constB93) <=> (~((~v1(constB93)) | (~v102(constB93))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB92, constB93)) | (v101(constB93) <=> (~((~v1(constB93)) | (~v102(constB93))))))),
% 13.53/8.74 inference(rewrite,[status(thm)],[])).
% 13.53/8.74 tff(637,plain,
% 13.53/8.74 (((~nextState(constB92, constB93)) | (v101(constB93) <=> (~((~v102(constB93)) | (~v1(constB93)))))) <=> ((~nextState(constB92, constB93)) | (v101(constB93) <=> (~((~v1(constB93)) | (~v102(constB93))))))),
% 13.53/8.74 inference(rewrite,[status(thm)],[])).
% 13.53/8.74 tff(638,plain,
% 13.53/8.74 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB92, constB93)) | (v101(constB93) <=> (~((~v102(constB93)) | (~v1(constB93))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB92, constB93)) | (v101(constB93) <=> (~((~v1(constB93)) | (~v102(constB93)))))))),
% 13.53/8.74 inference(monotonicity,[status(thm)],[637])).
% 13.53/8.74 tff(639,plain,
% 13.53/8.74 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB92, constB93)) | (v101(constB93) <=> (~((~v102(constB93)) | (~v1(constB93))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB92, constB93)) | (v101(constB93) <=> (~((~v1(constB93)) | (~v102(constB93))))))),
% 13.53/8.74 inference(transitivity,[status(thm)],[638, 636])).
% 13.53/8.74 tff(640,plain,
% 13.53/8.74 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB92, constB93)) | (v101(constB93) <=> (~((~v102(constB93)) | (~v1(constB93))))))),
% 13.53/8.74 inference(quant_inst,[status(thm)],[])).
% 13.53/8.74 tff(641,plain,
% 13.53/8.74 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB92, constB93)) | (v101(constB93) <=> (~((~v1(constB93)) | (~v102(constB93)))))),
% 13.53/8.74 inference(modus_ponens,[status(thm)],[640, 639])).
% 13.53/8.74 tff(642,plain,
% 13.53/8.74 (v101(constB93) <=> (~((~v1(constB93)) | (~v102(constB93))))),
% 13.53/8.74 inference(unit_resolution,[status(thm)],[641, 631, 450])).
% 13.53/8.74 tff(643,plain,
% 13.53/8.74 (((~v1(constB93)) | (~v102(constB93))) | v1(constB93)),
% 13.53/8.74 inference(tautology,[status(thm)],[])).
% 13.53/8.74 tff(644,plain,
% 13.53/8.74 ((~v1(constB93)) | (~v102(constB93))),
% 13.53/8.74 inference(unit_resolution,[status(thm)],[643, 533])).
% 13.53/8.74 tff(645,plain,
% 13.53/8.74 ((~(v101(constB93) <=> (~((~v1(constB93)) | (~v102(constB93)))))) | (~v101(constB93)) | (~((~v1(constB93)) | (~v102(constB93))))),
% 13.53/8.74 inference(tautology,[status(thm)],[])).
% 13.53/8.74 tff(646,plain,
% 13.53/8.74 ((~(v101(constB93) <=> (~((~v1(constB93)) | (~v102(constB93)))))) | (~v101(constB93))),
% 13.53/8.74 inference(unit_resolution,[status(thm)],[645, 644])).
% 13.53/8.74 tff(647,plain,
% 13.53/8.74 (~v101(constB93)),
% 13.53/8.74 inference(unit_resolution,[status(thm)],[646, 642])).
% 13.53/8.74 tff(648,plain,
% 13.53/8.74 (((~v101(constB93)) | (~v110(constB93))) | v101(constB93)),
% 13.53/8.74 inference(tautology,[status(thm)],[])).
% 13.53/8.74 tff(649,plain,
% 13.53/8.74 ((~v101(constB93)) | (~v110(constB93))),
% 13.53/8.74 inference(unit_resolution,[status(thm)],[648, 647])).
% 13.53/8.74 tff(650,plain,
% 13.53/8.74 ((~(v100(constB93) <=> (~((~v101(constB93)) | (~v110(constB93)))))) | (~v100(constB93)) | (~((~v101(constB93)) | (~v110(constB93))))),
% 13.53/8.74 inference(tautology,[status(thm)],[])).
% 13.53/8.74 tff(651,plain,
% 13.53/8.74 (~v100(constB93)),
% 13.53/8.74 inference(unit_resolution,[status(thm)],[650, 649, 635])).
% 13.53/8.74 tff(652,plain,
% 13.53/8.74 (((~![VarCurr: $i, VarNext: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v90(VarCurr, B))))) | (v100(constB93) | (~nextState(constB92, constB93)) | ![B: $i] : ((~less_3(B)) | (v90(constB93, B) <=> v90(constB92, B))))) <=> ((~![VarCurr: $i, VarNext: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v90(VarCurr, B))))) | v100(constB93) | (~nextState(constB92, constB93)) | ![B: $i] : ((~less_3(B)) | (v90(constB93, B) <=> v90(constB92, B))))),
% 13.53/8.74 inference(rewrite,[status(thm)],[])).
% 13.53/8.74 tff(653,plain,
% 13.53/8.74 ((~![VarCurr: $i, VarNext: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v90(VarCurr, B))))) | (v100(constB93) | (~nextState(constB92, constB93)) | ![B: $i] : ((~less_3(B)) | (v90(constB93, B) <=> v90(constB92, B))))),
% 13.53/8.74 inference(quant_inst,[status(thm)],[])).
% 13.53/8.74 tff(654,plain,
% 13.53/8.74 ((~![VarCurr: $i, VarNext: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v90(VarCurr, B))))) | v100(constB93) | (~nextState(constB92, constB93)) | ![B: $i] : ((~less_3(B)) | (v90(constB93, B) <=> v90(constB92, B)))),
% 13.53/8.74 inference(modus_ponens,[status(thm)],[653, 652])).
% 13.53/8.74 tff(655,plain,
% 13.53/8.74 (v100(constB93) | ![B: $i] : ((~less_3(B)) | (v90(constB93, B) <=> v90(constB92, B)))),
% 13.53/8.74 inference(unit_resolution,[status(thm)],[654, 631, 479])).
% 13.53/8.74 tff(656,plain,
% 13.53/8.74 (![B: $i] : ((~less_3(B)) | (v90(constB93, B) <=> v90(constB92, B)))),
% 13.53/8.74 inference(unit_resolution,[status(thm)],[655, 651])).
% 13.53/8.74 tff(657,plain,
% 13.53/8.74 (((~![B: $i] : ((~less_3(B)) | (v90(constB93, B) <=> v90(constB92, B)))) | ((~less_3(bitIndex2)) | (v90(constB93, bitIndex2) <=> v90(constB92, bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v90(constB93, B) <=> v90(constB92, B)))) | (~less_3(bitIndex2)) | (v90(constB93, bitIndex2) <=> v90(constB92, bitIndex2)))),
% 13.53/8.75 inference(rewrite,[status(thm)],[])).
% 13.53/8.75 tff(658,plain,
% 13.53/8.75 ((~![B: $i] : ((~less_3(B)) | (v90(constB93, B) <=> v90(constB92, B)))) | ((~less_3(bitIndex2)) | (v90(constB93, bitIndex2) <=> v90(constB92, bitIndex2)))),
% 13.53/8.75 inference(quant_inst,[status(thm)],[])).
% 13.53/8.75 tff(659,plain,
% 13.53/8.75 ((~![B: $i] : ((~less_3(B)) | (v90(constB93, B) <=> v90(constB92, B)))) | (~less_3(bitIndex2)) | (v90(constB93, bitIndex2) <=> v90(constB92, bitIndex2))),
% 13.53/8.75 inference(modus_ponens,[status(thm)],[658, 657])).
% 13.53/8.75 tff(660,plain,
% 13.53/8.75 (v90(constB93, bitIndex2) <=> v90(constB92, bitIndex2)),
% 13.53/8.75 inference(unit_resolution,[status(thm)],[659, 413, 656])).
% 13.53/8.75 tff(661,plain,
% 13.53/8.75 (nextState(constB91, constB92) <=> nextState(constB91, constB92)),
% 13.53/8.75 inference(rewrite,[status(thm)],[])).
% 13.53/8.75 tff(662,axiom,(nextState(constB91, constB92)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_91')).
% 13.53/8.75 tff(663,plain,
% 13.53/8.75 (nextState(constB91, constB92)),
% 13.53/8.75 inference(modus_ponens,[status(thm)],[662, 661])).
% 13.53/8.75 tff(664,plain,
% 13.53/8.75 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB91, constB92)) | (v100(constB92) <=> (~((~v101(constB92)) | (~v110(constB92))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB91, constB92)) | (v100(constB92) <=> (~((~v101(constB92)) | (~v110(constB92))))))),
% 13.53/8.75 inference(rewrite,[status(thm)],[])).
% 13.53/8.75 tff(665,plain,
% 13.53/8.75 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB91, constB92)) | (v100(constB92) <=> (~((~v101(constB92)) | (~v110(constB92))))))),
% 13.53/8.75 inference(quant_inst,[status(thm)],[])).
% 13.53/8.75 tff(666,plain,
% 13.53/8.75 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB91, constB92)) | (v100(constB92) <=> (~((~v101(constB92)) | (~v110(constB92)))))),
% 13.53/8.75 inference(modus_ponens,[status(thm)],[665, 664])).
% 13.53/8.75 tff(667,plain,
% 13.53/8.75 (v100(constB92) <=> (~((~v101(constB92)) | (~v110(constB92))))),
% 13.53/8.75 inference(unit_resolution,[status(thm)],[666, 663, 430])).
% 13.53/8.75 tff(668,plain,
% 13.53/8.75 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB91, constB92)) | (v101(constB92) <=> (~((~v1(constB92)) | (~v102(constB92))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB91, constB92)) | (v101(constB92) <=> (~((~v1(constB92)) | (~v102(constB92))))))),
% 13.53/8.75 inference(rewrite,[status(thm)],[])).
% 13.53/8.75 tff(669,plain,
% 13.53/8.75 (((~nextState(constB91, constB92)) | (v101(constB92) <=> (~((~v102(constB92)) | (~v1(constB92)))))) <=> ((~nextState(constB91, constB92)) | (v101(constB92) <=> (~((~v1(constB92)) | (~v102(constB92))))))),
% 13.53/8.75 inference(rewrite,[status(thm)],[])).
% 13.53/8.75 tff(670,plain,
% 13.53/8.75 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB91, constB92)) | (v101(constB92) <=> (~((~v102(constB92)) | (~v1(constB92))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB91, constB92)) | (v101(constB92) <=> (~((~v1(constB92)) | (~v102(constB92)))))))),
% 13.53/8.75 inference(monotonicity,[status(thm)],[669])).
% 13.53/8.75 tff(671,plain,
% 13.53/8.75 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB91, constB92)) | (v101(constB92) <=> (~((~v102(constB92)) | (~v1(constB92))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB91, constB92)) | (v101(constB92) <=> (~((~v1(constB92)) | (~v102(constB92))))))),
% 13.53/8.75 inference(transitivity,[status(thm)],[670, 668])).
% 13.53/8.75 tff(672,plain,
% 13.53/8.75 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB91, constB92)) | (v101(constB92) <=> (~((~v102(constB92)) | (~v1(constB92))))))),
% 13.53/8.75 inference(quant_inst,[status(thm)],[])).
% 13.53/8.75 tff(673,plain,
% 13.53/8.75 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB91, constB92)) | (v101(constB92) <=> (~((~v1(constB92)) | (~v102(constB92)))))),
% 13.53/8.75 inference(modus_ponens,[status(thm)],[672, 671])).
% 13.53/8.75 tff(674,plain,
% 13.53/8.75 (v101(constB92) <=> (~((~v1(constB92)) | (~v102(constB92))))),
% 13.53/8.75 inference(unit_resolution,[status(thm)],[673, 663, 450])).
% 13.53/8.75 tff(675,plain,
% 13.53/8.75 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | ((~nextState(constB91, constB92)) | ((~v102(constB92)) <=> v104(constB92)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | (~nextState(constB91, constB92)) | ((~v102(constB92)) <=> v104(constB92)))),
% 13.53/8.75 inference(rewrite,[status(thm)],[])).
% 13.53/8.75 tff(676,plain,
% 13.53/8.75 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | ((~nextState(constB91, constB92)) | ((~v102(constB92)) <=> v104(constB92)))),
% 13.53/8.75 inference(quant_inst,[status(thm)],[])).
% 13.53/8.75 tff(677,plain,
% 13.53/8.75 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | (~nextState(constB91, constB92)) | ((~v102(constB92)) <=> v104(constB92))),
% 13.53/8.75 inference(modus_ponens,[status(thm)],[676, 675])).
% 13.53/8.75 tff(678,plain,
% 13.53/8.75 ((~v102(constB92)) <=> v104(constB92)),
% 13.53/8.75 inference(unit_resolution,[status(thm)],[677, 663, 512])).
% 13.53/8.75 tff(679,plain,
% 13.53/8.75 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB91, constB92)) | (v104(constB92) <=> v1(constB91)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | (~nextState(constB91, constB92)) | (v104(constB92) <=> v1(constB91)))),
% 13.53/8.75 inference(rewrite,[status(thm)],[])).
% 13.53/8.75 tff(680,plain,
% 13.53/8.75 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB91, constB92)) | (v104(constB92) <=> v1(constB91)))),
% 13.53/8.75 inference(quant_inst,[status(thm)],[])).
% 13.53/8.75 tff(681,plain,
% 13.53/8.75 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | (~nextState(constB91, constB92)) | (v104(constB92) <=> v1(constB91))),
% 13.53/8.75 inference(modus_ponens,[status(thm)],[680, 679])).
% 13.53/8.75 tff(682,plain,
% 13.53/8.75 (v104(constB92) <=> v1(constB91)),
% 13.53/8.75 inference(unit_resolution,[status(thm)],[681, 663, 526])).
% 13.53/8.75 tff(683,plain,
% 13.53/8.75 ((~v1(constB91)) <=> (~v1(constB91))),
% 13.53/8.75 inference(rewrite,[status(thm)],[])).
% 13.53/8.75 tff(684,axiom,(~v1(constB91)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_91')).
% 13.53/8.75 tff(685,plain,
% 13.53/8.75 (~v1(constB91)),
% 13.53/8.75 inference(modus_ponens,[status(thm)],[684, 683])).
% 13.53/8.75 tff(686,plain,
% 13.53/8.75 ((~(v104(constB92) <=> v1(constB91))) | (~v104(constB92)) | v1(constB91)),
% 13.53/8.75 inference(tautology,[status(thm)],[])).
% 13.53/8.75 tff(687,plain,
% 13.53/8.75 ((~(v104(constB92) <=> v1(constB91))) | (~v104(constB92))),
% 13.53/8.75 inference(unit_resolution,[status(thm)],[686, 685])).
% 13.53/8.75 tff(688,plain,
% 13.53/8.75 (~v104(constB92)),
% 13.53/8.75 inference(unit_resolution,[status(thm)],[687, 682])).
% 13.53/8.75 tff(689,plain,
% 13.53/8.75 ((~((~v102(constB92)) <=> v104(constB92))) | v102(constB92) | v104(constB92)),
% 13.53/8.75 inference(tautology,[status(thm)],[])).
% 13.53/8.75 tff(690,plain,
% 13.53/8.75 (v102(constB92)),
% 13.53/8.75 inference(unit_resolution,[status(thm)],[689, 688, 678])).
% 13.53/8.75 tff(691,plain,
% 13.53/8.75 (v1(constB92) <=> v1(constB92)),
% 13.53/8.75 inference(rewrite,[status(thm)],[])).
% 13.53/8.75 tff(692,axiom,(v1(constB92)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_92')).
% 13.53/8.75 tff(693,plain,
% 13.53/8.75 (v1(constB92)),
% 13.53/8.75 inference(modus_ponens,[status(thm)],[692, 691])).
% 13.53/8.75 tff(694,plain,
% 13.53/8.75 ((~((~v1(constB92)) | (~v102(constB92)))) | (~v1(constB92)) | (~v102(constB92))),
% 13.53/8.75 inference(tautology,[status(thm)],[])).
% 13.53/8.75 tff(695,plain,
% 13.53/8.75 ((~((~v1(constB92)) | (~v102(constB92)))) | (~v102(constB92))),
% 13.53/8.75 inference(unit_resolution,[status(thm)],[694, 693])).
% 13.53/8.75 tff(696,plain,
% 13.53/8.75 (~((~v1(constB92)) | (~v102(constB92)))),
% 13.53/8.75 inference(unit_resolution,[status(thm)],[695, 690])).
% 13.53/8.75 tff(697,plain,
% 13.53/8.75 ((~(v101(constB92) <=> (~((~v1(constB92)) | (~v102(constB92)))))) | v101(constB92) | ((~v1(constB92)) | (~v102(constB92)))),
% 13.53/8.75 inference(tautology,[status(thm)],[])).
% 13.53/8.75 tff(698,plain,
% 13.53/8.75 (v101(constB92)),
% 13.53/8.75 inference(unit_resolution,[status(thm)],[697, 696, 674])).
% 13.53/8.75 tff(699,plain,
% 13.53/8.75 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | ((~nextState(constB91, constB92)) | (v110(constB92) <=> v108(constB91)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | (~nextState(constB91, constB92)) | (v110(constB92) <=> v108(constB91)))),
% 13.53/8.75 inference(rewrite,[status(thm)],[])).
% 13.53/8.75 tff(700,plain,
% 13.53/8.75 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | ((~nextState(constB91, constB92)) | (v110(constB92) <=> v108(constB91)))),
% 13.53/8.75 inference(quant_inst,[status(thm)],[])).
% 13.53/8.75 tff(701,plain,
% 13.53/8.75 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | (~nextState(constB91, constB92)) | (v110(constB92) <=> v108(constB91))),
% 13.53/8.75 inference(modus_ponens,[status(thm)],[700, 699])).
% 13.53/8.75 tff(702,plain,
% 13.53/8.75 (v110(constB92) <=> v108(constB91)),
% 13.53/8.75 inference(unit_resolution,[status(thm)],[701, 663, 556])).
% 13.53/8.75 tff(703,plain,
% 13.53/8.75 ((~![VarCurr: $i] : (v108(VarCurr) <=> (v111(VarCurr) | v112(VarCurr)))) | (v108(constB91) <=> (v111(constB91) | v112(constB91)))),
% 13.53/8.75 inference(quant_inst,[status(thm)],[])).
% 13.53/8.75 tff(704,plain,
% 13.53/8.75 (v108(constB91) <=> (v111(constB91) | v112(constB91))),
% 13.53/8.75 inference(unit_resolution,[status(thm)],[703, 567])).
% 13.53/8.75 tff(705,plain,
% 13.53/8.75 ((~![VarCurr: $i] : (v112(VarCurr) <=> (~((~v113(VarCurr)) | (~v126(VarCurr)))))) | (v112(constB91) <=> (~((~v113(constB91)) | (~v126(constB91)))))),
% 13.53/8.75 inference(quant_inst,[status(thm)],[])).
% 13.53/8.75 tff(706,plain,
% 13.53/8.75 (v112(constB91) <=> (~((~v113(constB91)) | (~v126(constB91))))),
% 13.53/8.75 inference(unit_resolution,[status(thm)],[705, 579])).
% 13.53/8.75 tff(707,plain,
% 13.53/8.75 ((~![VarCurr: $i] : (v113(VarCurr) <=> (v114(VarCurr) | v125(VarCurr)))) | (v113(constB91) <=> (v114(constB91) | v125(constB91)))),
% 13.53/8.75 inference(quant_inst,[status(thm)],[])).
% 13.53/8.75 tff(708,plain,
% 13.53/8.75 (v113(constB91) <=> (v114(constB91) | v125(constB91))),
% 13.53/8.75 inference(unit_resolution,[status(thm)],[707, 588])).
% 13.53/8.75 tff(709,plain,
% 13.53/8.75 ((~![VarCurr: $i] : (v114(VarCurr) <=> (v115(VarCurr) | v124(VarCurr)))) | (v114(constB91) <=> (v115(constB91) | v124(constB91)))),
% 13.53/8.75 inference(quant_inst,[status(thm)],[])).
% 13.53/8.75 tff(710,plain,
% 13.53/8.75 (v114(constB91) <=> (v115(constB91) | v124(constB91))),
% 13.53/8.75 inference(unit_resolution,[status(thm)],[709, 597])).
% 13.53/8.75 tff(711,plain,
% 13.53/8.75 ((~![VarCurr: $i] : (v115(VarCurr) <=> (v116(VarCurr) | v123(VarCurr)))) | (v115(constB91) <=> (v116(constB91) | v123(constB91)))),
% 13.53/8.75 inference(quant_inst,[status(thm)],[])).
% 13.53/8.75 tff(712,plain,
% 13.53/8.75 (v115(constB91) <=> (v116(constB91) | v123(constB91))),
% 13.53/8.75 inference(unit_resolution,[status(thm)],[711, 606])).
% 13.53/8.75 tff(713,plain,
% 13.53/8.75 (^[VarCurr: $i] : refl((v116(VarCurr) <=> (v117(VarCurr) | v122(VarCurr))) <=> (v116(VarCurr) <=> (v117(VarCurr) | v122(VarCurr))))),
% 13.53/8.75 inference(bind,[status(th)],[])).
% 13.53/8.75 tff(714,plain,
% 13.53/8.75 (![VarCurr: $i] : (v116(VarCurr) <=> (v117(VarCurr) | v122(VarCurr))) <=> ![VarCurr: $i] : (v116(VarCurr) <=> (v117(VarCurr) | v122(VarCurr)))),
% 13.53/8.75 inference(quant_intro,[status(thm)],[713])).
% 13.53/8.75 tff(715,plain,
% 13.53/8.75 (![VarCurr: $i] : (v116(VarCurr) <=> (v117(VarCurr) | v122(VarCurr))) <=> ![VarCurr: $i] : (v116(VarCurr) <=> (v117(VarCurr) | v122(VarCurr)))),
% 13.53/8.75 inference(rewrite,[status(thm)],[])).
% 13.53/8.75 tff(716,axiom,(![VarCurr: $i] : (v116(VarCurr) <=> (v117(VarCurr) | v122(VarCurr)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','writeBinaryOperatorEqualRangesSingleBits_21')).
% 13.53/8.75 tff(717,plain,
% 13.53/8.75 (![VarCurr: $i] : (v116(VarCurr) <=> (v117(VarCurr) | v122(VarCurr)))),
% 13.53/8.75 inference(modus_ponens,[status(thm)],[716, 715])).
% 13.53/8.75 tff(718,plain,(
% 13.53/8.75 ![VarCurr: $i] : (v116(VarCurr) <=> (v117(VarCurr) | v122(VarCurr)))),
% 13.53/8.75 inference(skolemize,[status(sab)],[717])).
% 13.53/8.75 tff(719,plain,
% 13.53/8.75 (![VarCurr: $i] : (v116(VarCurr) <=> (v117(VarCurr) | v122(VarCurr)))),
% 13.53/8.75 inference(modus_ponens,[status(thm)],[718, 714])).
% 13.53/8.75 tff(720,plain,
% 13.53/8.75 ((~![VarCurr: $i] : (v116(VarCurr) <=> (v117(VarCurr) | v122(VarCurr)))) | (v116(constB91) <=> (v117(constB91) | v122(constB91)))),
% 13.53/8.75 inference(quant_inst,[status(thm)],[])).
% 13.53/8.75 tff(721,plain,
% 13.53/8.75 (v116(constB91) <=> (v117(constB91) | v122(constB91))),
% 13.53/8.75 inference(unit_resolution,[status(thm)],[720, 719])).
% 13.53/8.75 tff(722,plain,
% 13.53/8.75 (^[VarCurr: $i] : refl((v122(VarCurr) <=> (~(v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1))))) <=> (v122(VarCurr) <=> (~(v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1))))))),
% 13.53/8.75 inference(bind,[status(th)],[])).
% 13.53/8.75 tff(723,plain,
% 13.53/8.75 (![VarCurr: $i] : (v122(VarCurr) <=> (~(v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1))))) <=> ![VarCurr: $i] : (v122(VarCurr) <=> (~(v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)))))),
% 13.53/8.75 inference(quant_intro,[status(thm)],[722])).
% 13.53/8.75 tff(724,plain,
% 13.53/8.75 (^[VarCurr: $i] : rewrite((v122(VarCurr) <=> ((~v90(VarCurr, bitIndex2)) & v90(VarCurr, bitIndex1) & v90(VarCurr, bitIndex0))) <=> (v122(VarCurr) <=> (~(v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1))))))),
% 13.53/8.75 inference(bind,[status(th)],[])).
% 13.53/8.75 tff(725,plain,
% 13.53/8.75 (![VarCurr: $i] : (v122(VarCurr) <=> ((~v90(VarCurr, bitIndex2)) & v90(VarCurr, bitIndex1) & v90(VarCurr, bitIndex0))) <=> ![VarCurr: $i] : (v122(VarCurr) <=> (~(v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)))))),
% 13.53/8.75 inference(quant_intro,[status(thm)],[724])).
% 13.53/8.75 tff(726,plain,
% 13.53/8.75 (![VarCurr: $i] : (v122(VarCurr) <=> ((~v90(VarCurr, bitIndex2)) & v90(VarCurr, bitIndex1) & v90(VarCurr, bitIndex0))) <=> ![VarCurr: $i] : (v122(VarCurr) <=> ((~v90(VarCurr, bitIndex2)) & v90(VarCurr, bitIndex1) & v90(VarCurr, bitIndex0)))),
% 13.53/8.75 inference(rewrite,[status(thm)],[])).
% 13.53/8.75 tff(727,plain,
% 13.53/8.75 (^[VarCurr: $i] : rewrite((v122(VarCurr) <=> (((v90(VarCurr, bitIndex2) <=> $false) & (v90(VarCurr, bitIndex1) <=> $true)) & (v90(VarCurr, bitIndex0) <=> $true))) <=> (v122(VarCurr) <=> ((~v90(VarCurr, bitIndex2)) & v90(VarCurr, bitIndex1) & v90(VarCurr, bitIndex0))))),
% 13.53/8.75 inference(bind,[status(th)],[])).
% 13.53/8.75 tff(728,plain,
% 13.53/8.75 (![VarCurr: $i] : (v122(VarCurr) <=> (((v90(VarCurr, bitIndex2) <=> $false) & (v90(VarCurr, bitIndex1) <=> $true)) & (v90(VarCurr, bitIndex0) <=> $true))) <=> ![VarCurr: $i] : (v122(VarCurr) <=> ((~v90(VarCurr, bitIndex2)) & v90(VarCurr, bitIndex1) & v90(VarCurr, bitIndex0)))),
% 13.53/8.75 inference(quant_intro,[status(thm)],[727])).
% 13.53/8.75 tff(729,axiom,(![VarCurr: $i] : (v122(VarCurr) <=> (((v90(VarCurr, bitIndex2) <=> $false) & (v90(VarCurr, bitIndex1) <=> $true)) & (v90(VarCurr, bitIndex0) <=> $true)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','addBitVectorEqualityBitBlasted_5')).
% 13.53/8.75 tff(730,plain,
% 13.53/8.75 (![VarCurr: $i] : (v122(VarCurr) <=> ((~v90(VarCurr, bitIndex2)) & v90(VarCurr, bitIndex1) & v90(VarCurr, bitIndex0)))),
% 13.53/8.75 inference(modus_ponens,[status(thm)],[729, 728])).
% 13.53/8.75 tff(731,plain,
% 13.53/8.75 (![VarCurr: $i] : (v122(VarCurr) <=> ((~v90(VarCurr, bitIndex2)) & v90(VarCurr, bitIndex1) & v90(VarCurr, bitIndex0)))),
% 13.53/8.75 inference(modus_ponens,[status(thm)],[730, 726])).
% 13.53/8.75 tff(732,plain,(
% 13.53/8.75 ![VarCurr: $i] : (v122(VarCurr) <=> ((~v90(VarCurr, bitIndex2)) & v90(VarCurr, bitIndex1) & v90(VarCurr, bitIndex0)))),
% 13.53/8.76 inference(skolemize,[status(sab)],[731])).
% 13.53/8.76 tff(733,plain,
% 13.53/8.76 (![VarCurr: $i] : (v122(VarCurr) <=> (~(v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)))))),
% 13.53/8.76 inference(modus_ponens,[status(thm)],[732, 725])).
% 13.53/8.76 tff(734,plain,
% 13.53/8.76 (![VarCurr: $i] : (v122(VarCurr) <=> (~(v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)))))),
% 13.53/8.76 inference(modus_ponens,[status(thm)],[733, 723])).
% 13.53/8.76 tff(735,plain,
% 13.53/8.76 (((~![VarCurr: $i] : (v122(VarCurr) <=> (~(v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)))))) | (v122(constB91) <=> (~(v90(constB91, bitIndex2) | (~v90(constB91, bitIndex1)) | (~v90(constB91, bitIndex0)))))) <=> ((~![VarCurr: $i] : (v122(VarCurr) <=> (~(v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)))))) | (v122(constB91) <=> (~(v90(constB91, bitIndex2) | (~v90(constB91, bitIndex1)) | (~v90(constB91, bitIndex0))))))),
% 13.53/8.76 inference(rewrite,[status(thm)],[])).
% 13.53/8.76 tff(736,plain,
% 13.53/8.76 ((v122(constB91) <=> (~(v90(constB91, bitIndex2) | (~v90(constB91, bitIndex0)) | (~v90(constB91, bitIndex1))))) <=> (v122(constB91) <=> (~(v90(constB91, bitIndex2) | (~v90(constB91, bitIndex1)) | (~v90(constB91, bitIndex0)))))),
% 13.53/8.76 inference(rewrite,[status(thm)],[])).
% 13.53/8.76 tff(737,plain,
% 13.53/8.76 (((~![VarCurr: $i] : (v122(VarCurr) <=> (~(v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)))))) | (v122(constB91) <=> (~(v90(constB91, bitIndex2) | (~v90(constB91, bitIndex0)) | (~v90(constB91, bitIndex1)))))) <=> ((~![VarCurr: $i] : (v122(VarCurr) <=> (~(v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)))))) | (v122(constB91) <=> (~(v90(constB91, bitIndex2) | (~v90(constB91, bitIndex1)) | (~v90(constB91, bitIndex0))))))),
% 13.53/8.76 inference(monotonicity,[status(thm)],[736])).
% 13.53/8.76 tff(738,plain,
% 13.53/8.76 (((~![VarCurr: $i] : (v122(VarCurr) <=> (~(v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)))))) | (v122(constB91) <=> (~(v90(constB91, bitIndex2) | (~v90(constB91, bitIndex0)) | (~v90(constB91, bitIndex1)))))) <=> ((~![VarCurr: $i] : (v122(VarCurr) <=> (~(v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)))))) | (v122(constB91) <=> (~(v90(constB91, bitIndex2) | (~v90(constB91, bitIndex1)) | (~v90(constB91, bitIndex0))))))),
% 13.53/8.76 inference(transitivity,[status(thm)],[737, 735])).
% 13.53/8.76 tff(739,plain,
% 13.53/8.76 ((~![VarCurr: $i] : (v122(VarCurr) <=> (~(v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)))))) | (v122(constB91) <=> (~(v90(constB91, bitIndex2) | (~v90(constB91, bitIndex0)) | (~v90(constB91, bitIndex1)))))),
% 13.53/8.76 inference(quant_inst,[status(thm)],[])).
% 13.53/8.76 tff(740,plain,
% 13.53/8.76 ((~![VarCurr: $i] : (v122(VarCurr) <=> (~(v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)))))) | (v122(constB91) <=> (~(v90(constB91, bitIndex2) | (~v90(constB91, bitIndex1)) | (~v90(constB91, bitIndex0)))))),
% 13.53/8.76 inference(modus_ponens,[status(thm)],[739, 738])).
% 13.53/8.76 tff(741,plain,
% 13.53/8.76 (v122(constB91) <=> (~(v90(constB91, bitIndex2) | (~v90(constB91, bitIndex1)) | (~v90(constB91, bitIndex0))))),
% 13.53/8.76 inference(unit_resolution,[status(thm)],[740, 734])).
% 13.53/8.76 tff(742,plain,
% 13.53/8.76 (nextState(constB90, constB91) <=> nextState(constB90, constB91)),
% 13.53/8.76 inference(rewrite,[status(thm)],[])).
% 13.53/8.76 tff(743,axiom,(nextState(constB90, constB91)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_90')).
% 13.53/8.76 tff(744,plain,
% 13.53/8.76 (nextState(constB90, constB91)),
% 13.53/8.76 inference(modus_ponens,[status(thm)],[743, 742])).
% 13.53/8.76 tff(745,plain,
% 13.53/8.76 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB90, constB91)) | (v100(constB91) <=> (~((~v101(constB91)) | (~v110(constB91))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB90, constB91)) | (v100(constB91) <=> (~((~v101(constB91)) | (~v110(constB91))))))),
% 13.53/8.76 inference(rewrite,[status(thm)],[])).
% 13.53/8.76 tff(746,plain,
% 13.53/8.76 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB90, constB91)) | (v100(constB91) <=> (~((~v101(constB91)) | (~v110(constB91))))))),
% 13.53/8.76 inference(quant_inst,[status(thm)],[])).
% 13.53/8.76 tff(747,plain,
% 13.53/8.76 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB90, constB91)) | (v100(constB91) <=> (~((~v101(constB91)) | (~v110(constB91)))))),
% 13.53/8.76 inference(modus_ponens,[status(thm)],[746, 745])).
% 13.53/8.76 tff(748,plain,
% 13.53/8.76 (v100(constB91) <=> (~((~v101(constB91)) | (~v110(constB91))))),
% 13.53/8.76 inference(unit_resolution,[status(thm)],[747, 744, 430])).
% 13.53/8.76 tff(749,plain,
% 13.53/8.76 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB90, constB91)) | (v101(constB91) <=> (~((~v1(constB91)) | (~v102(constB91))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB90, constB91)) | (v101(constB91) <=> (~((~v1(constB91)) | (~v102(constB91))))))),
% 13.53/8.76 inference(rewrite,[status(thm)],[])).
% 13.53/8.76 tff(750,plain,
% 13.53/8.76 (((~nextState(constB90, constB91)) | (v101(constB91) <=> (~((~v102(constB91)) | (~v1(constB91)))))) <=> ((~nextState(constB90, constB91)) | (v101(constB91) <=> (~((~v1(constB91)) | (~v102(constB91))))))),
% 13.53/8.76 inference(rewrite,[status(thm)],[])).
% 13.53/8.76 tff(751,plain,
% 13.53/8.76 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB90, constB91)) | (v101(constB91) <=> (~((~v102(constB91)) | (~v1(constB91))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB90, constB91)) | (v101(constB91) <=> (~((~v1(constB91)) | (~v102(constB91)))))))),
% 13.53/8.76 inference(monotonicity,[status(thm)],[750])).
% 13.53/8.76 tff(752,plain,
% 13.53/8.76 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB90, constB91)) | (v101(constB91) <=> (~((~v102(constB91)) | (~v1(constB91))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB90, constB91)) | (v101(constB91) <=> (~((~v1(constB91)) | (~v102(constB91))))))),
% 13.53/8.76 inference(transitivity,[status(thm)],[751, 749])).
% 13.53/8.76 tff(753,plain,
% 13.53/8.76 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB90, constB91)) | (v101(constB91) <=> (~((~v102(constB91)) | (~v1(constB91))))))),
% 13.53/8.76 inference(quant_inst,[status(thm)],[])).
% 13.53/8.76 tff(754,plain,
% 13.53/8.76 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB90, constB91)) | (v101(constB91) <=> (~((~v1(constB91)) | (~v102(constB91)))))),
% 13.53/8.76 inference(modus_ponens,[status(thm)],[753, 752])).
% 13.53/8.76 tff(755,plain,
% 13.53/8.76 (v101(constB91) <=> (~((~v1(constB91)) | (~v102(constB91))))),
% 13.53/8.76 inference(unit_resolution,[status(thm)],[754, 744, 450])).
% 13.53/8.76 tff(756,plain,
% 13.53/8.76 (((~v1(constB91)) | (~v102(constB91))) | v1(constB91)),
% 13.53/8.76 inference(tautology,[status(thm)],[])).
% 13.53/8.76 tff(757,plain,
% 13.53/8.76 ((~v1(constB91)) | (~v102(constB91))),
% 13.53/8.76 inference(unit_resolution,[status(thm)],[756, 685])).
% 13.53/8.76 tff(758,plain,
% 13.53/8.76 ((~(v101(constB91) <=> (~((~v1(constB91)) | (~v102(constB91)))))) | (~v101(constB91)) | (~((~v1(constB91)) | (~v102(constB91))))),
% 13.53/8.76 inference(tautology,[status(thm)],[])).
% 13.53/8.76 tff(759,plain,
% 13.53/8.76 ((~(v101(constB91) <=> (~((~v1(constB91)) | (~v102(constB91)))))) | (~v101(constB91))),
% 13.53/8.76 inference(unit_resolution,[status(thm)],[758, 757])).
% 13.53/8.76 tff(760,plain,
% 13.53/8.76 (~v101(constB91)),
% 13.53/8.76 inference(unit_resolution,[status(thm)],[759, 755])).
% 13.53/8.76 tff(761,plain,
% 13.53/8.76 (((~v101(constB91)) | (~v110(constB91))) | v101(constB91)),
% 13.53/8.76 inference(tautology,[status(thm)],[])).
% 13.53/8.76 tff(762,plain,
% 13.53/8.76 ((~v101(constB91)) | (~v110(constB91))),
% 13.53/8.76 inference(unit_resolution,[status(thm)],[761, 760])).
% 13.53/8.76 tff(763,plain,
% 13.53/8.76 ((~(v100(constB91) <=> (~((~v101(constB91)) | (~v110(constB91)))))) | (~v100(constB91)) | (~((~v101(constB91)) | (~v110(constB91))))),
% 13.53/8.76 inference(tautology,[status(thm)],[])).
% 13.53/8.76 tff(764,plain,
% 13.53/8.76 (~v100(constB91)),
% 13.53/8.76 inference(unit_resolution,[status(thm)],[763, 762, 748])).
% 13.53/8.76 tff(765,plain,
% 13.53/8.76 (((~![VarCurr: $i, VarNext: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v90(VarCurr, B))))) | (v100(constB91) | (~nextState(constB90, constB91)) | ![B: $i] : ((~less_3(B)) | (v90(constB91, B) <=> v90(constB90, B))))) <=> ((~![VarCurr: $i, VarNext: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v90(VarCurr, B))))) | v100(constB91) | (~nextState(constB90, constB91)) | ![B: $i] : ((~less_3(B)) | (v90(constB91, B) <=> v90(constB90, B))))),
% 13.53/8.76 inference(rewrite,[status(thm)],[])).
% 13.53/8.76 tff(766,plain,
% 13.53/8.76 ((~![VarCurr: $i, VarNext: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v90(VarCurr, B))))) | (v100(constB91) | (~nextState(constB90, constB91)) | ![B: $i] : ((~less_3(B)) | (v90(constB91, B) <=> v90(constB90, B))))),
% 13.53/8.76 inference(quant_inst,[status(thm)],[])).
% 13.53/8.76 tff(767,plain,
% 13.53/8.76 ((~![VarCurr: $i, VarNext: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v90(VarCurr, B))))) | v100(constB91) | (~nextState(constB90, constB91)) | ![B: $i] : ((~less_3(B)) | (v90(constB91, B) <=> v90(constB90, B)))),
% 13.53/8.76 inference(modus_ponens,[status(thm)],[766, 765])).
% 13.53/8.76 tff(768,plain,
% 13.53/8.76 (v100(constB91) | ![B: $i] : ((~less_3(B)) | (v90(constB91, B) <=> v90(constB90, B)))),
% 13.53/8.76 inference(unit_resolution,[status(thm)],[767, 744, 479])).
% 13.53/8.76 tff(769,plain,
% 13.53/8.76 (![B: $i] : ((~less_3(B)) | (v90(constB91, B) <=> v90(constB90, B)))),
% 13.53/8.76 inference(unit_resolution,[status(thm)],[768, 764])).
% 13.53/8.76 tff(770,plain,
% 13.53/8.76 (((~![B: $i] : ((~less_3(B)) | (v90(constB91, B) <=> v90(constB90, B)))) | ((~less_3(bitIndex2)) | (v90(constB91, bitIndex2) <=> v90(constB90, bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v90(constB91, B) <=> v90(constB90, B)))) | (~less_3(bitIndex2)) | (v90(constB91, bitIndex2) <=> v90(constB90, bitIndex2)))),
% 13.53/8.76 inference(rewrite,[status(thm)],[])).
% 13.53/8.76 tff(771,plain,
% 13.53/8.76 ((~![B: $i] : ((~less_3(B)) | (v90(constB91, B) <=> v90(constB90, B)))) | ((~less_3(bitIndex2)) | (v90(constB91, bitIndex2) <=> v90(constB90, bitIndex2)))),
% 13.53/8.76 inference(quant_inst,[status(thm)],[])).
% 13.53/8.76 tff(772,plain,
% 13.53/8.76 ((~![B: $i] : ((~less_3(B)) | (v90(constB91, B) <=> v90(constB90, B)))) | (~less_3(bitIndex2)) | (v90(constB91, bitIndex2) <=> v90(constB90, bitIndex2))),
% 13.53/8.76 inference(modus_ponens,[status(thm)],[771, 770])).
% 13.53/8.76 tff(773,plain,
% 13.53/8.76 (v90(constB91, bitIndex2) <=> v90(constB90, bitIndex2)),
% 13.53/8.76 inference(unit_resolution,[status(thm)],[772, 413, 769])).
% 13.53/8.76 tff(774,plain,
% 13.53/8.76 (nextState(constB89, constB90) <=> nextState(constB89, constB90)),
% 13.53/8.76 inference(rewrite,[status(thm)],[])).
% 13.53/8.76 tff(775,axiom,(nextState(constB89, constB90)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_89')).
% 13.53/8.76 tff(776,plain,
% 13.53/8.76 (nextState(constB89, constB90)),
% 13.53/8.76 inference(modus_ponens,[status(thm)],[775, 774])).
% 13.53/8.76 tff(777,plain,
% 13.53/8.76 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB89, constB90)) | (v100(constB90) <=> (~((~v101(constB90)) | (~v110(constB90))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB89, constB90)) | (v100(constB90) <=> (~((~v101(constB90)) | (~v110(constB90))))))),
% 13.53/8.76 inference(rewrite,[status(thm)],[])).
% 13.53/8.77 tff(778,plain,
% 13.53/8.77 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB89, constB90)) | (v100(constB90) <=> (~((~v101(constB90)) | (~v110(constB90))))))),
% 13.53/8.77 inference(quant_inst,[status(thm)],[])).
% 13.53/8.77 tff(779,plain,
% 13.53/8.77 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB89, constB90)) | (v100(constB90) <=> (~((~v101(constB90)) | (~v110(constB90)))))),
% 13.53/8.77 inference(modus_ponens,[status(thm)],[778, 777])).
% 13.53/8.77 tff(780,plain,
% 13.53/8.77 (v100(constB90) <=> (~((~v101(constB90)) | (~v110(constB90))))),
% 13.53/8.77 inference(unit_resolution,[status(thm)],[779, 776, 430])).
% 13.53/8.77 tff(781,plain,
% 13.53/8.77 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB89, constB90)) | (v101(constB90) <=> (~((~v1(constB90)) | (~v102(constB90))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB89, constB90)) | (v101(constB90) <=> (~((~v1(constB90)) | (~v102(constB90))))))),
% 13.53/8.77 inference(rewrite,[status(thm)],[])).
% 13.53/8.77 tff(782,plain,
% 13.53/8.77 (((~nextState(constB89, constB90)) | (v101(constB90) <=> (~((~v102(constB90)) | (~v1(constB90)))))) <=> ((~nextState(constB89, constB90)) | (v101(constB90) <=> (~((~v1(constB90)) | (~v102(constB90))))))),
% 13.53/8.77 inference(rewrite,[status(thm)],[])).
% 13.53/8.77 tff(783,plain,
% 13.53/8.77 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB89, constB90)) | (v101(constB90) <=> (~((~v102(constB90)) | (~v1(constB90))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB89, constB90)) | (v101(constB90) <=> (~((~v1(constB90)) | (~v102(constB90)))))))),
% 13.53/8.77 inference(monotonicity,[status(thm)],[782])).
% 13.53/8.77 tff(784,plain,
% 13.53/8.77 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB89, constB90)) | (v101(constB90) <=> (~((~v102(constB90)) | (~v1(constB90))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB89, constB90)) | (v101(constB90) <=> (~((~v1(constB90)) | (~v102(constB90))))))),
% 13.53/8.77 inference(transitivity,[status(thm)],[783, 781])).
% 13.53/8.77 tff(785,plain,
% 13.53/8.77 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB89, constB90)) | (v101(constB90) <=> (~((~v102(constB90)) | (~v1(constB90))))))),
% 13.53/8.77 inference(quant_inst,[status(thm)],[])).
% 13.53/8.77 tff(786,plain,
% 13.53/8.77 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB89, constB90)) | (v101(constB90) <=> (~((~v1(constB90)) | (~v102(constB90)))))),
% 13.53/8.77 inference(modus_ponens,[status(thm)],[785, 784])).
% 13.53/8.77 tff(787,plain,
% 13.53/8.77 (v101(constB90) <=> (~((~v1(constB90)) | (~v102(constB90))))),
% 13.53/8.77 inference(unit_resolution,[status(thm)],[786, 776, 450])).
% 13.53/8.77 tff(788,plain,
% 13.53/8.77 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | ((~nextState(constB89, constB90)) | ((~v102(constB90)) <=> v104(constB90)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | (~nextState(constB89, constB90)) | ((~v102(constB90)) <=> v104(constB90)))),
% 13.53/8.77 inference(rewrite,[status(thm)],[])).
% 13.53/8.77 tff(789,plain,
% 13.53/8.77 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | ((~nextState(constB89, constB90)) | ((~v102(constB90)) <=> v104(constB90)))),
% 13.53/8.77 inference(quant_inst,[status(thm)],[])).
% 13.53/8.77 tff(790,plain,
% 13.53/8.77 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | (~nextState(constB89, constB90)) | ((~v102(constB90)) <=> v104(constB90))),
% 13.53/8.77 inference(modus_ponens,[status(thm)],[789, 788])).
% 13.53/8.77 tff(791,plain,
% 13.53/8.77 ((~v102(constB90)) <=> v104(constB90)),
% 13.53/8.77 inference(unit_resolution,[status(thm)],[790, 776, 512])).
% 13.53/8.77 tff(792,plain,
% 13.53/8.77 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB89, constB90)) | (v104(constB90) <=> v1(constB89)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | (~nextState(constB89, constB90)) | (v104(constB90) <=> v1(constB89)))),
% 13.53/8.77 inference(rewrite,[status(thm)],[])).
% 13.53/8.77 tff(793,plain,
% 13.53/8.77 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB89, constB90)) | (v104(constB90) <=> v1(constB89)))),
% 13.53/8.77 inference(quant_inst,[status(thm)],[])).
% 13.53/8.77 tff(794,plain,
% 13.53/8.77 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | (~nextState(constB89, constB90)) | (v104(constB90) <=> v1(constB89))),
% 13.53/8.77 inference(modus_ponens,[status(thm)],[793, 792])).
% 13.53/8.77 tff(795,plain,
% 13.53/8.77 (v104(constB90) <=> v1(constB89)),
% 13.53/8.77 inference(unit_resolution,[status(thm)],[794, 776, 526])).
% 13.53/8.77 tff(796,plain,
% 13.53/8.77 ((~v1(constB89)) <=> (~v1(constB89))),
% 13.53/8.77 inference(rewrite,[status(thm)],[])).
% 13.53/8.77 tff(797,axiom,(~v1(constB89)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_89')).
% 13.53/8.77 tff(798,plain,
% 13.53/8.77 (~v1(constB89)),
% 13.53/8.77 inference(modus_ponens,[status(thm)],[797, 796])).
% 13.53/8.77 tff(799,plain,
% 13.53/8.77 ((~(v104(constB90) <=> v1(constB89))) | (~v104(constB90)) | v1(constB89)),
% 13.53/8.77 inference(tautology,[status(thm)],[])).
% 13.53/8.77 tff(800,plain,
% 13.53/8.77 ((~(v104(constB90) <=> v1(constB89))) | (~v104(constB90))),
% 13.53/8.77 inference(unit_resolution,[status(thm)],[799, 798])).
% 13.53/8.77 tff(801,plain,
% 13.53/8.77 (~v104(constB90)),
% 13.53/8.77 inference(unit_resolution,[status(thm)],[800, 795])).
% 13.53/8.77 tff(802,plain,
% 13.53/8.77 ((~((~v102(constB90)) <=> v104(constB90))) | v102(constB90) | v104(constB90)),
% 13.53/8.77 inference(tautology,[status(thm)],[])).
% 13.53/8.77 tff(803,plain,
% 13.53/8.77 (v102(constB90)),
% 13.53/8.77 inference(unit_resolution,[status(thm)],[802, 801, 791])).
% 13.53/8.77 tff(804,plain,
% 13.53/8.77 (v1(constB90) <=> v1(constB90)),
% 13.53/8.77 inference(rewrite,[status(thm)],[])).
% 13.53/8.77 tff(805,axiom,(v1(constB90)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_90')).
% 13.53/8.77 tff(806,plain,
% 13.53/8.77 (v1(constB90)),
% 13.53/8.77 inference(modus_ponens,[status(thm)],[805, 804])).
% 13.53/8.77 tff(807,plain,
% 13.53/8.77 ((~((~v1(constB90)) | (~v102(constB90)))) | (~v1(constB90)) | (~v102(constB90))),
% 13.53/8.77 inference(tautology,[status(thm)],[])).
% 13.53/8.77 tff(808,plain,
% 13.53/8.77 ((~((~v1(constB90)) | (~v102(constB90)))) | (~v102(constB90))),
% 13.53/8.77 inference(unit_resolution,[status(thm)],[807, 806])).
% 13.53/8.77 tff(809,plain,
% 13.53/8.77 (~((~v1(constB90)) | (~v102(constB90)))),
% 13.53/8.77 inference(unit_resolution,[status(thm)],[808, 803])).
% 13.53/8.77 tff(810,plain,
% 13.53/8.77 ((~(v101(constB90) <=> (~((~v1(constB90)) | (~v102(constB90)))))) | v101(constB90) | ((~v1(constB90)) | (~v102(constB90)))),
% 13.53/8.77 inference(tautology,[status(thm)],[])).
% 13.53/8.77 tff(811,plain,
% 13.53/8.77 (v101(constB90)),
% 13.53/8.77 inference(unit_resolution,[status(thm)],[810, 809, 787])).
% 13.53/8.77 tff(812,plain,
% 13.53/8.77 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | ((~nextState(constB89, constB90)) | (v110(constB90) <=> v108(constB89)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | (~nextState(constB89, constB90)) | (v110(constB90) <=> v108(constB89)))),
% 13.53/8.77 inference(rewrite,[status(thm)],[])).
% 13.53/8.77 tff(813,plain,
% 13.53/8.77 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | ((~nextState(constB89, constB90)) | (v110(constB90) <=> v108(constB89)))),
% 13.53/8.77 inference(quant_inst,[status(thm)],[])).
% 13.53/8.77 tff(814,plain,
% 13.53/8.77 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | (~nextState(constB89, constB90)) | (v110(constB90) <=> v108(constB89))),
% 13.53/8.77 inference(modus_ponens,[status(thm)],[813, 812])).
% 13.53/8.77 tff(815,plain,
% 13.53/8.77 (v110(constB90) <=> v108(constB89)),
% 13.53/8.77 inference(unit_resolution,[status(thm)],[814, 776, 556])).
% 13.53/8.77 tff(816,plain,
% 13.53/8.77 ((~![VarCurr: $i] : (v108(VarCurr) <=> (v111(VarCurr) | v112(VarCurr)))) | (v108(constB89) <=> (v111(constB89) | v112(constB89)))),
% 13.53/8.77 inference(quant_inst,[status(thm)],[])).
% 13.53/8.77 tff(817,plain,
% 13.53/8.77 (v108(constB89) <=> (v111(constB89) | v112(constB89))),
% 13.53/8.77 inference(unit_resolution,[status(thm)],[816, 567])).
% 13.53/8.77 tff(818,plain,
% 13.53/8.77 ((~![VarCurr: $i] : (v112(VarCurr) <=> (~((~v113(VarCurr)) | (~v126(VarCurr)))))) | (v112(constB89) <=> (~((~v113(constB89)) | (~v126(constB89)))))),
% 13.53/8.77 inference(quant_inst,[status(thm)],[])).
% 13.53/8.77 tff(819,plain,
% 13.53/8.77 (v112(constB89) <=> (~((~v113(constB89)) | (~v126(constB89))))),
% 13.53/8.77 inference(unit_resolution,[status(thm)],[818, 579])).
% 13.53/8.77 tff(820,plain,
% 13.53/8.77 ((~![VarCurr: $i] : (v113(VarCurr) <=> (v114(VarCurr) | v125(VarCurr)))) | (v113(constB89) <=> (v114(constB89) | v125(constB89)))),
% 13.53/8.77 inference(quant_inst,[status(thm)],[])).
% 13.53/8.77 tff(821,plain,
% 13.53/8.77 (v113(constB89) <=> (v114(constB89) | v125(constB89))),
% 13.53/8.77 inference(unit_resolution,[status(thm)],[820, 588])).
% 13.53/8.77 tff(822,plain,
% 13.53/8.77 ((~![VarCurr: $i] : (v114(VarCurr) <=> (v115(VarCurr) | v124(VarCurr)))) | (v114(constB89) <=> (v115(constB89) | v124(constB89)))),
% 13.53/8.77 inference(quant_inst,[status(thm)],[])).
% 13.53/8.77 tff(823,plain,
% 13.53/8.77 (v114(constB89) <=> (v115(constB89) | v124(constB89))),
% 13.53/8.77 inference(unit_resolution,[status(thm)],[822, 597])).
% 13.53/8.77 tff(824,plain,
% 13.53/8.77 ((~![VarCurr: $i] : (v115(VarCurr) <=> (v116(VarCurr) | v123(VarCurr)))) | (v115(constB89) <=> (v116(constB89) | v123(constB89)))),
% 13.53/8.77 inference(quant_inst,[status(thm)],[])).
% 13.53/8.77 tff(825,plain,
% 13.53/8.77 (v115(constB89) <=> (v116(constB89) | v123(constB89))),
% 13.53/8.77 inference(unit_resolution,[status(thm)],[824, 606])).
% 13.53/8.77 tff(826,plain,
% 13.53/8.77 ((~![VarCurr: $i] : (v116(VarCurr) <=> (v117(VarCurr) | v122(VarCurr)))) | (v116(constB89) <=> (v117(constB89) | v122(constB89)))),
% 13.53/8.77 inference(quant_inst,[status(thm)],[])).
% 13.53/8.77 tff(827,plain,
% 13.53/8.77 (v116(constB89) <=> (v117(constB89) | v122(constB89))),
% 13.53/8.77 inference(unit_resolution,[status(thm)],[826, 719])).
% 13.53/8.77 tff(828,plain,
% 13.53/8.77 (^[VarCurr: $i] : refl((v117(VarCurr) <=> (v118(VarCurr) | v121(VarCurr))) <=> (v117(VarCurr) <=> (v118(VarCurr) | v121(VarCurr))))),
% 13.53/8.77 inference(bind,[status(th)],[])).
% 13.53/8.77 tff(829,plain,
% 13.53/8.77 (![VarCurr: $i] : (v117(VarCurr) <=> (v118(VarCurr) | v121(VarCurr))) <=> ![VarCurr: $i] : (v117(VarCurr) <=> (v118(VarCurr) | v121(VarCurr)))),
% 13.53/8.77 inference(quant_intro,[status(thm)],[828])).
% 13.53/8.77 tff(830,plain,
% 13.53/8.77 (![VarCurr: $i] : (v117(VarCurr) <=> (v118(VarCurr) | v121(VarCurr))) <=> ![VarCurr: $i] : (v117(VarCurr) <=> (v118(VarCurr) | v121(VarCurr)))),
% 13.53/8.77 inference(rewrite,[status(thm)],[])).
% 13.53/8.77 tff(831,axiom,(![VarCurr: $i] : (v117(VarCurr) <=> (v118(VarCurr) | v121(VarCurr)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','writeBinaryOperatorEqualRangesSingleBits_20')).
% 13.53/8.77 tff(832,plain,
% 13.53/8.77 (![VarCurr: $i] : (v117(VarCurr) <=> (v118(VarCurr) | v121(VarCurr)))),
% 13.53/8.77 inference(modus_ponens,[status(thm)],[831, 830])).
% 13.53/8.77 tff(833,plain,(
% 13.53/8.77 ![VarCurr: $i] : (v117(VarCurr) <=> (v118(VarCurr) | v121(VarCurr)))),
% 13.53/8.77 inference(skolemize,[status(sab)],[832])).
% 13.53/8.77 tff(834,plain,
% 13.53/8.77 (![VarCurr: $i] : (v117(VarCurr) <=> (v118(VarCurr) | v121(VarCurr)))),
% 13.53/8.77 inference(modus_ponens,[status(thm)],[833, 829])).
% 13.53/8.77 tff(835,plain,
% 13.53/8.77 ((~![VarCurr: $i] : (v117(VarCurr) <=> (v118(VarCurr) | v121(VarCurr)))) | (v117(constB89) <=> (v118(constB89) | v121(constB89)))),
% 13.53/8.77 inference(quant_inst,[status(thm)],[])).
% 13.53/8.77 tff(836,plain,
% 13.53/8.77 (v117(constB89) <=> (v118(constB89) | v121(constB89))),
% 13.53/8.77 inference(unit_resolution,[status(thm)],[835, 834])).
% 13.53/8.77 tff(837,plain,
% 13.53/8.77 (^[VarCurr: $i] : refl((v121(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex1))))) <=> (v121(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex1))))))),
% 13.53/8.77 inference(bind,[status(th)],[])).
% 13.53/8.77 tff(838,plain,
% 13.53/8.77 (![VarCurr: $i] : (v121(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex1))))) <=> ![VarCurr: $i] : (v121(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex1)))))),
% 13.53/8.77 inference(quant_intro,[status(thm)],[837])).
% 13.53/8.77 tff(839,plain,
% 13.53/8.77 (^[VarCurr: $i] : rewrite((v121(VarCurr) <=> ((~v90(VarCurr, bitIndex2)) & v90(VarCurr, bitIndex1) & (~v90(VarCurr, bitIndex0)))) <=> (v121(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex1))))))),
% 13.53/8.77 inference(bind,[status(th)],[])).
% 13.53/8.77 tff(840,plain,
% 13.53/8.77 (![VarCurr: $i] : (v121(VarCurr) <=> ((~v90(VarCurr, bitIndex2)) & v90(VarCurr, bitIndex1) & (~v90(VarCurr, bitIndex0)))) <=> ![VarCurr: $i] : (v121(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex1)))))),
% 13.53/8.77 inference(quant_intro,[status(thm)],[839])).
% 13.53/8.77 tff(841,plain,
% 13.53/8.77 (![VarCurr: $i] : (v121(VarCurr) <=> ((~v90(VarCurr, bitIndex2)) & v90(VarCurr, bitIndex1) & (~v90(VarCurr, bitIndex0)))) <=> ![VarCurr: $i] : (v121(VarCurr) <=> ((~v90(VarCurr, bitIndex2)) & v90(VarCurr, bitIndex1) & (~v90(VarCurr, bitIndex0))))),
% 13.53/8.77 inference(rewrite,[status(thm)],[])).
% 13.53/8.77 tff(842,plain,
% 13.53/8.77 (^[VarCurr: $i] : rewrite((v121(VarCurr) <=> (((v90(VarCurr, bitIndex2) <=> $false) & (v90(VarCurr, bitIndex1) <=> $true)) & (v90(VarCurr, bitIndex0) <=> $false))) <=> (v121(VarCurr) <=> ((~v90(VarCurr, bitIndex2)) & v90(VarCurr, bitIndex1) & (~v90(VarCurr, bitIndex0)))))),
% 13.53/8.77 inference(bind,[status(th)],[])).
% 13.53/8.77 tff(843,plain,
% 13.53/8.77 (![VarCurr: $i] : (v121(VarCurr) <=> (((v90(VarCurr, bitIndex2) <=> $false) & (v90(VarCurr, bitIndex1) <=> $true)) & (v90(VarCurr, bitIndex0) <=> $false))) <=> ![VarCurr: $i] : (v121(VarCurr) <=> ((~v90(VarCurr, bitIndex2)) & v90(VarCurr, bitIndex1) & (~v90(VarCurr, bitIndex0))))),
% 13.53/8.77 inference(quant_intro,[status(thm)],[842])).
% 13.53/8.77 tff(844,axiom,(![VarCurr: $i] : (v121(VarCurr) <=> (((v90(VarCurr, bitIndex2) <=> $false) & (v90(VarCurr, bitIndex1) <=> $true)) & (v90(VarCurr, bitIndex0) <=> $false)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','addBitVectorEqualityBitBlasted_4')).
% 13.53/8.77 tff(845,plain,
% 13.53/8.77 (![VarCurr: $i] : (v121(VarCurr) <=> ((~v90(VarCurr, bitIndex2)) & v90(VarCurr, bitIndex1) & (~v90(VarCurr, bitIndex0))))),
% 13.53/8.77 inference(modus_ponens,[status(thm)],[844, 843])).
% 13.53/8.77 tff(846,plain,
% 13.53/8.77 (![VarCurr: $i] : (v121(VarCurr) <=> ((~v90(VarCurr, bitIndex2)) & v90(VarCurr, bitIndex1) & (~v90(VarCurr, bitIndex0))))),
% 13.53/8.77 inference(modus_ponens,[status(thm)],[845, 841])).
% 13.53/8.77 tff(847,plain,(
% 13.53/8.77 ![VarCurr: $i] : (v121(VarCurr) <=> ((~v90(VarCurr, bitIndex2)) & v90(VarCurr, bitIndex1) & (~v90(VarCurr, bitIndex0))))),
% 13.53/8.77 inference(skolemize,[status(sab)],[846])).
% 13.53/8.77 tff(848,plain,
% 13.53/8.77 (![VarCurr: $i] : (v121(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex1)))))),
% 13.53/8.77 inference(modus_ponens,[status(thm)],[847, 840])).
% 13.53/8.77 tff(849,plain,
% 13.53/8.77 (![VarCurr: $i] : (v121(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex1)))))),
% 13.53/8.77 inference(modus_ponens,[status(thm)],[848, 838])).
% 13.53/8.77 tff(850,plain,
% 13.53/8.77 (((~![VarCurr: $i] : (v121(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex1)))))) | (v121(constB89) <=> (~(v90(constB89, bitIndex2) | (~v90(constB89, bitIndex1)) | v90(constB89, bitIndex0))))) <=> ((~![VarCurr: $i] : (v121(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex1)))))) | (v121(constB89) <=> (~(v90(constB89, bitIndex2) | (~v90(constB89, bitIndex1)) | v90(constB89, bitIndex0)))))),
% 13.53/8.77 inference(rewrite,[status(thm)],[])).
% 13.53/8.77 tff(851,plain,
% 13.53/8.77 ((v121(constB89) <=> (~(v90(constB89, bitIndex0) | v90(constB89, bitIndex2) | (~v90(constB89, bitIndex1))))) <=> (v121(constB89) <=> (~(v90(constB89, bitIndex2) | (~v90(constB89, bitIndex1)) | v90(constB89, bitIndex0))))),
% 13.53/8.77 inference(rewrite,[status(thm)],[])).
% 13.53/8.77 tff(852,plain,
% 13.53/8.77 (((~![VarCurr: $i] : (v121(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex1)))))) | (v121(constB89) <=> (~(v90(constB89, bitIndex0) | v90(constB89, bitIndex2) | (~v90(constB89, bitIndex1)))))) <=> ((~![VarCurr: $i] : (v121(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex1)))))) | (v121(constB89) <=> (~(v90(constB89, bitIndex2) | (~v90(constB89, bitIndex1)) | v90(constB89, bitIndex0)))))),
% 13.53/8.78 inference(monotonicity,[status(thm)],[851])).
% 13.53/8.78 tff(853,plain,
% 13.53/8.78 (((~![VarCurr: $i] : (v121(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex1)))))) | (v121(constB89) <=> (~(v90(constB89, bitIndex0) | v90(constB89, bitIndex2) | (~v90(constB89, bitIndex1)))))) <=> ((~![VarCurr: $i] : (v121(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex1)))))) | (v121(constB89) <=> (~(v90(constB89, bitIndex2) | (~v90(constB89, bitIndex1)) | v90(constB89, bitIndex0)))))),
% 13.53/8.78 inference(transitivity,[status(thm)],[852, 850])).
% 13.53/8.78 tff(854,plain,
% 13.53/8.78 ((~![VarCurr: $i] : (v121(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex1)))))) | (v121(constB89) <=> (~(v90(constB89, bitIndex0) | v90(constB89, bitIndex2) | (~v90(constB89, bitIndex1)))))),
% 13.53/8.78 inference(quant_inst,[status(thm)],[])).
% 13.53/8.78 tff(855,plain,
% 13.53/8.78 ((~![VarCurr: $i] : (v121(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex1)))))) | (v121(constB89) <=> (~(v90(constB89, bitIndex2) | (~v90(constB89, bitIndex1)) | v90(constB89, bitIndex0))))),
% 13.53/8.78 inference(modus_ponens,[status(thm)],[854, 853])).
% 13.53/8.78 tff(856,plain,
% 13.53/8.78 (v121(constB89) <=> (~(v90(constB89, bitIndex2) | (~v90(constB89, bitIndex1)) | v90(constB89, bitIndex0)))),
% 13.53/8.78 inference(unit_resolution,[status(thm)],[855, 849])).
% 13.53/8.78 tff(857,plain,
% 13.53/8.78 (nextState(constB88, constB89) <=> nextState(constB88, constB89)),
% 13.53/8.78 inference(rewrite,[status(thm)],[])).
% 13.53/8.78 tff(858,axiom,(nextState(constB88, constB89)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_88')).
% 13.53/8.78 tff(859,plain,
% 13.53/8.78 (nextState(constB88, constB89)),
% 13.53/8.78 inference(modus_ponens,[status(thm)],[858, 857])).
% 13.53/8.78 tff(860,plain,
% 13.53/8.78 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB88, constB89)) | (v100(constB89) <=> (~((~v101(constB89)) | (~v110(constB89))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB88, constB89)) | (v100(constB89) <=> (~((~v101(constB89)) | (~v110(constB89))))))),
% 13.53/8.78 inference(rewrite,[status(thm)],[])).
% 13.53/8.78 tff(861,plain,
% 13.53/8.78 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB88, constB89)) | (v100(constB89) <=> (~((~v101(constB89)) | (~v110(constB89))))))),
% 13.53/8.78 inference(quant_inst,[status(thm)],[])).
% 13.53/8.78 tff(862,plain,
% 13.53/8.78 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB88, constB89)) | (v100(constB89) <=> (~((~v101(constB89)) | (~v110(constB89)))))),
% 13.53/8.78 inference(modus_ponens,[status(thm)],[861, 860])).
% 13.53/8.78 tff(863,plain,
% 13.53/8.78 (v100(constB89) <=> (~((~v101(constB89)) | (~v110(constB89))))),
% 13.53/8.78 inference(unit_resolution,[status(thm)],[862, 859, 430])).
% 13.53/8.78 tff(864,plain,
% 13.53/8.78 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB88, constB89)) | (v101(constB89) <=> (~((~v1(constB89)) | (~v102(constB89))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB88, constB89)) | (v101(constB89) <=> (~((~v1(constB89)) | (~v102(constB89))))))),
% 13.53/8.78 inference(rewrite,[status(thm)],[])).
% 13.53/8.78 tff(865,plain,
% 13.53/8.78 (((~nextState(constB88, constB89)) | (v101(constB89) <=> (~((~v102(constB89)) | (~v1(constB89)))))) <=> ((~nextState(constB88, constB89)) | (v101(constB89) <=> (~((~v1(constB89)) | (~v102(constB89))))))),
% 13.53/8.78 inference(rewrite,[status(thm)],[])).
% 13.53/8.78 tff(866,plain,
% 13.53/8.78 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB88, constB89)) | (v101(constB89) <=> (~((~v102(constB89)) | (~v1(constB89))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB88, constB89)) | (v101(constB89) <=> (~((~v1(constB89)) | (~v102(constB89)))))))),
% 13.53/8.78 inference(monotonicity,[status(thm)],[865])).
% 13.53/8.78 tff(867,plain,
% 13.53/8.78 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB88, constB89)) | (v101(constB89) <=> (~((~v102(constB89)) | (~v1(constB89))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB88, constB89)) | (v101(constB89) <=> (~((~v1(constB89)) | (~v102(constB89))))))),
% 13.53/8.78 inference(transitivity,[status(thm)],[866, 864])).
% 13.53/8.78 tff(868,plain,
% 13.53/8.78 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB88, constB89)) | (v101(constB89) <=> (~((~v102(constB89)) | (~v1(constB89))))))),
% 13.53/8.78 inference(quant_inst,[status(thm)],[])).
% 13.53/8.78 tff(869,plain,
% 13.53/8.78 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB88, constB89)) | (v101(constB89) <=> (~((~v1(constB89)) | (~v102(constB89)))))),
% 13.53/8.78 inference(modus_ponens,[status(thm)],[868, 867])).
% 13.53/8.78 tff(870,plain,
% 13.53/8.78 (v101(constB89) <=> (~((~v1(constB89)) | (~v102(constB89))))),
% 13.53/8.78 inference(unit_resolution,[status(thm)],[869, 859, 450])).
% 13.53/8.78 tff(871,plain,
% 13.53/8.78 (((~v1(constB89)) | (~v102(constB89))) | v1(constB89)),
% 13.53/8.78 inference(tautology,[status(thm)],[])).
% 13.53/8.78 tff(872,plain,
% 13.53/8.78 ((~v1(constB89)) | (~v102(constB89))),
% 13.53/8.78 inference(unit_resolution,[status(thm)],[871, 798])).
% 13.53/8.78 tff(873,plain,
% 13.53/8.78 ((~(v101(constB89) <=> (~((~v1(constB89)) | (~v102(constB89)))))) | (~v101(constB89)) | (~((~v1(constB89)) | (~v102(constB89))))),
% 13.53/8.78 inference(tautology,[status(thm)],[])).
% 13.53/8.78 tff(874,plain,
% 13.53/8.78 ((~(v101(constB89) <=> (~((~v1(constB89)) | (~v102(constB89)))))) | (~v101(constB89))),
% 13.53/8.78 inference(unit_resolution,[status(thm)],[873, 872])).
% 13.53/8.78 tff(875,plain,
% 13.53/8.78 (~v101(constB89)),
% 13.53/8.78 inference(unit_resolution,[status(thm)],[874, 870])).
% 13.53/8.78 tff(876,plain,
% 13.53/8.78 (((~v101(constB89)) | (~v110(constB89))) | v101(constB89)),
% 13.53/8.78 inference(tautology,[status(thm)],[])).
% 13.53/8.78 tff(877,plain,
% 13.53/8.78 ((~v101(constB89)) | (~v110(constB89))),
% 13.53/8.78 inference(unit_resolution,[status(thm)],[876, 875])).
% 13.53/8.78 tff(878,plain,
% 13.53/8.78 ((~(v100(constB89) <=> (~((~v101(constB89)) | (~v110(constB89)))))) | (~v100(constB89)) | (~((~v101(constB89)) | (~v110(constB89))))),
% 13.53/8.78 inference(tautology,[status(thm)],[])).
% 13.53/8.78 tff(879,plain,
% 13.53/8.78 (~v100(constB89)),
% 13.53/8.78 inference(unit_resolution,[status(thm)],[878, 877, 863])).
% 13.53/8.78 tff(880,plain,
% 13.53/8.78 (((~![VarCurr: $i, VarNext: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v90(VarCurr, B))))) | (v100(constB89) | (~nextState(constB88, constB89)) | ![B: $i] : ((~less_3(B)) | (v90(constB89, B) <=> v90(constB88, B))))) <=> ((~![VarCurr: $i, VarNext: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v90(VarCurr, B))))) | v100(constB89) | (~nextState(constB88, constB89)) | ![B: $i] : ((~less_3(B)) | (v90(constB89, B) <=> v90(constB88, B))))),
% 13.53/8.78 inference(rewrite,[status(thm)],[])).
% 13.53/8.78 tff(881,plain,
% 13.53/8.78 ((~![VarCurr: $i, VarNext: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v90(VarCurr, B))))) | (v100(constB89) | (~nextState(constB88, constB89)) | ![B: $i] : ((~less_3(B)) | (v90(constB89, B) <=> v90(constB88, B))))),
% 13.53/8.78 inference(quant_inst,[status(thm)],[])).
% 13.53/8.78 tff(882,plain,
% 13.53/8.78 ((~![VarCurr: $i, VarNext: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v90(VarCurr, B))))) | v100(constB89) | (~nextState(constB88, constB89)) | ![B: $i] : ((~less_3(B)) | (v90(constB89, B) <=> v90(constB88, B)))),
% 13.53/8.78 inference(modus_ponens,[status(thm)],[881, 880])).
% 13.53/8.78 tff(883,plain,
% 13.53/8.78 (v100(constB89) | ![B: $i] : ((~less_3(B)) | (v90(constB89, B) <=> v90(constB88, B)))),
% 13.53/8.78 inference(unit_resolution,[status(thm)],[882, 859, 479])).
% 13.53/8.78 tff(884,plain,
% 13.53/8.78 (![B: $i] : ((~less_3(B)) | (v90(constB89, B) <=> v90(constB88, B)))),
% 13.53/8.78 inference(unit_resolution,[status(thm)],[883, 879])).
% 13.53/8.78 tff(885,plain,
% 13.53/8.78 (((~![B: $i] : ((~less_3(B)) | (v90(constB89, B) <=> v90(constB88, B)))) | ((~less_3(bitIndex2)) | (v90(constB89, bitIndex2) <=> v90(constB88, bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v90(constB89, B) <=> v90(constB88, B)))) | (~less_3(bitIndex2)) | (v90(constB89, bitIndex2) <=> v90(constB88, bitIndex2)))),
% 13.53/8.78 inference(rewrite,[status(thm)],[])).
% 13.53/8.78 tff(886,plain,
% 13.53/8.78 ((~![B: $i] : ((~less_3(B)) | (v90(constB89, B) <=> v90(constB88, B)))) | ((~less_3(bitIndex2)) | (v90(constB89, bitIndex2) <=> v90(constB88, bitIndex2)))),
% 13.53/8.78 inference(quant_inst,[status(thm)],[])).
% 13.53/8.78 tff(887,plain,
% 13.53/8.78 ((~![B: $i] : ((~less_3(B)) | (v90(constB89, B) <=> v90(constB88, B)))) | (~less_3(bitIndex2)) | (v90(constB89, bitIndex2) <=> v90(constB88, bitIndex2))),
% 13.53/8.78 inference(modus_ponens,[status(thm)],[886, 885])).
% 13.53/8.78 tff(888,plain,
% 13.53/8.78 (v90(constB89, bitIndex2) <=> v90(constB88, bitIndex2)),
% 13.53/8.78 inference(unit_resolution,[status(thm)],[887, 413, 884])).
% 13.53/8.78 tff(889,plain,
% 13.53/8.78 (nextState(constB87, constB88) <=> nextState(constB87, constB88)),
% 13.53/8.78 inference(rewrite,[status(thm)],[])).
% 13.53/8.78 tff(890,axiom,(nextState(constB87, constB88)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_87')).
% 13.53/8.78 tff(891,plain,
% 13.53/8.78 (nextState(constB87, constB88)),
% 13.53/8.78 inference(modus_ponens,[status(thm)],[890, 889])).
% 13.53/8.78 tff(892,plain,
% 13.53/8.78 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB87, constB88)) | (v100(constB88) <=> (~((~v101(constB88)) | (~v110(constB88))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB87, constB88)) | (v100(constB88) <=> (~((~v101(constB88)) | (~v110(constB88))))))),
% 13.53/8.78 inference(rewrite,[status(thm)],[])).
% 13.53/8.78 tff(893,plain,
% 13.53/8.78 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB87, constB88)) | (v100(constB88) <=> (~((~v101(constB88)) | (~v110(constB88))))))),
% 13.53/8.78 inference(quant_inst,[status(thm)],[])).
% 13.53/8.78 tff(894,plain,
% 13.53/8.78 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB87, constB88)) | (v100(constB88) <=> (~((~v101(constB88)) | (~v110(constB88)))))),
% 13.53/8.78 inference(modus_ponens,[status(thm)],[893, 892])).
% 13.53/8.78 tff(895,plain,
% 13.53/8.78 (v100(constB88) <=> (~((~v101(constB88)) | (~v110(constB88))))),
% 13.53/8.78 inference(unit_resolution,[status(thm)],[894, 891, 430])).
% 13.53/8.78 tff(896,plain,
% 13.53/8.78 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB87, constB88)) | (v101(constB88) <=> (~((~v1(constB88)) | (~v102(constB88))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB87, constB88)) | (v101(constB88) <=> (~((~v1(constB88)) | (~v102(constB88))))))),
% 13.53/8.78 inference(rewrite,[status(thm)],[])).
% 13.53/8.78 tff(897,plain,
% 13.53/8.78 (((~nextState(constB87, constB88)) | (v101(constB88) <=> (~((~v102(constB88)) | (~v1(constB88)))))) <=> ((~nextState(constB87, constB88)) | (v101(constB88) <=> (~((~v1(constB88)) | (~v102(constB88))))))),
% 13.53/8.78 inference(rewrite,[status(thm)],[])).
% 13.53/8.78 tff(898,plain,
% 13.53/8.78 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB87, constB88)) | (v101(constB88) <=> (~((~v102(constB88)) | (~v1(constB88))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB87, constB88)) | (v101(constB88) <=> (~((~v1(constB88)) | (~v102(constB88)))))))),
% 13.53/8.78 inference(monotonicity,[status(thm)],[897])).
% 13.53/8.78 tff(899,plain,
% 13.53/8.78 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB87, constB88)) | (v101(constB88) <=> (~((~v102(constB88)) | (~v1(constB88))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB87, constB88)) | (v101(constB88) <=> (~((~v1(constB88)) | (~v102(constB88))))))),
% 13.53/8.78 inference(transitivity,[status(thm)],[898, 896])).
% 13.53/8.78 tff(900,plain,
% 13.53/8.78 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB87, constB88)) | (v101(constB88) <=> (~((~v102(constB88)) | (~v1(constB88))))))),
% 13.53/8.78 inference(quant_inst,[status(thm)],[])).
% 13.53/8.78 tff(901,plain,
% 13.53/8.78 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB87, constB88)) | (v101(constB88) <=> (~((~v1(constB88)) | (~v102(constB88)))))),
% 13.53/8.78 inference(modus_ponens,[status(thm)],[900, 899])).
% 13.53/8.78 tff(902,plain,
% 13.53/8.78 (v101(constB88) <=> (~((~v1(constB88)) | (~v102(constB88))))),
% 13.53/8.78 inference(unit_resolution,[status(thm)],[901, 891, 450])).
% 13.53/8.78 tff(903,plain,
% 13.53/8.78 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | ((~nextState(constB87, constB88)) | ((~v102(constB88)) <=> v104(constB88)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | (~nextState(constB87, constB88)) | ((~v102(constB88)) <=> v104(constB88)))),
% 13.53/8.78 inference(rewrite,[status(thm)],[])).
% 13.53/8.78 tff(904,plain,
% 13.53/8.78 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | ((~nextState(constB87, constB88)) | ((~v102(constB88)) <=> v104(constB88)))),
% 13.53/8.78 inference(quant_inst,[status(thm)],[])).
% 13.53/8.78 tff(905,plain,
% 13.53/8.78 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | (~nextState(constB87, constB88)) | ((~v102(constB88)) <=> v104(constB88))),
% 13.53/8.78 inference(modus_ponens,[status(thm)],[904, 903])).
% 13.53/8.78 tff(906,plain,
% 13.53/8.78 ((~v102(constB88)) <=> v104(constB88)),
% 13.53/8.78 inference(unit_resolution,[status(thm)],[905, 891, 512])).
% 13.53/8.78 tff(907,plain,
% 13.53/8.78 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB87, constB88)) | (v104(constB88) <=> v1(constB87)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | (~nextState(constB87, constB88)) | (v104(constB88) <=> v1(constB87)))),
% 13.53/8.78 inference(rewrite,[status(thm)],[])).
% 13.53/8.78 tff(908,plain,
% 13.53/8.78 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB87, constB88)) | (v104(constB88) <=> v1(constB87)))),
% 13.53/8.78 inference(quant_inst,[status(thm)],[])).
% 13.53/8.78 tff(909,plain,
% 13.53/8.78 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | (~nextState(constB87, constB88)) | (v104(constB88) <=> v1(constB87))),
% 13.53/8.78 inference(modus_ponens,[status(thm)],[908, 907])).
% 13.53/8.78 tff(910,plain,
% 13.53/8.78 (v104(constB88) <=> v1(constB87)),
% 13.53/8.78 inference(unit_resolution,[status(thm)],[909, 891, 526])).
% 13.53/8.78 tff(911,plain,
% 13.53/8.78 ((~v1(constB87)) <=> (~v1(constB87))),
% 13.53/8.78 inference(rewrite,[status(thm)],[])).
% 13.53/8.78 tff(912,axiom,(~v1(constB87)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_87')).
% 13.53/8.79 tff(913,plain,
% 13.53/8.79 (~v1(constB87)),
% 13.53/8.79 inference(modus_ponens,[status(thm)],[912, 911])).
% 13.53/8.79 tff(914,plain,
% 13.53/8.79 ((~(v104(constB88) <=> v1(constB87))) | (~v104(constB88)) | v1(constB87)),
% 13.53/8.79 inference(tautology,[status(thm)],[])).
% 13.53/8.79 tff(915,plain,
% 13.53/8.79 ((~(v104(constB88) <=> v1(constB87))) | (~v104(constB88))),
% 13.53/8.79 inference(unit_resolution,[status(thm)],[914, 913])).
% 13.53/8.79 tff(916,plain,
% 13.53/8.79 (~v104(constB88)),
% 13.53/8.79 inference(unit_resolution,[status(thm)],[915, 910])).
% 13.53/8.79 tff(917,plain,
% 13.53/8.79 ((~((~v102(constB88)) <=> v104(constB88))) | v102(constB88) | v104(constB88)),
% 13.53/8.79 inference(tautology,[status(thm)],[])).
% 13.53/8.79 tff(918,plain,
% 13.53/8.79 (v102(constB88)),
% 13.53/8.79 inference(unit_resolution,[status(thm)],[917, 916, 906])).
% 13.53/8.79 tff(919,plain,
% 13.53/8.79 (v1(constB88) <=> v1(constB88)),
% 13.53/8.79 inference(rewrite,[status(thm)],[])).
% 13.53/8.79 tff(920,axiom,(v1(constB88)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_88')).
% 13.53/8.79 tff(921,plain,
% 13.53/8.79 (v1(constB88)),
% 13.53/8.79 inference(modus_ponens,[status(thm)],[920, 919])).
% 13.53/8.79 tff(922,plain,
% 13.53/8.79 ((~((~v1(constB88)) | (~v102(constB88)))) | (~v1(constB88)) | (~v102(constB88))),
% 13.53/8.79 inference(tautology,[status(thm)],[])).
% 13.53/8.79 tff(923,plain,
% 13.53/8.79 ((~((~v1(constB88)) | (~v102(constB88)))) | (~v102(constB88))),
% 13.53/8.79 inference(unit_resolution,[status(thm)],[922, 921])).
% 13.53/8.79 tff(924,plain,
% 13.53/8.79 (~((~v1(constB88)) | (~v102(constB88)))),
% 13.53/8.79 inference(unit_resolution,[status(thm)],[923, 918])).
% 13.53/8.79 tff(925,plain,
% 13.53/8.79 ((~(v101(constB88) <=> (~((~v1(constB88)) | (~v102(constB88)))))) | v101(constB88) | ((~v1(constB88)) | (~v102(constB88)))),
% 13.53/8.79 inference(tautology,[status(thm)],[])).
% 13.53/8.79 tff(926,plain,
% 13.53/8.79 (v101(constB88)),
% 13.53/8.79 inference(unit_resolution,[status(thm)],[925, 924, 902])).
% 13.53/8.79 tff(927,plain,
% 13.53/8.79 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | ((~nextState(constB87, constB88)) | (v110(constB88) <=> v108(constB87)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | (~nextState(constB87, constB88)) | (v110(constB88) <=> v108(constB87)))),
% 13.53/8.79 inference(rewrite,[status(thm)],[])).
% 13.53/8.79 tff(928,plain,
% 13.53/8.79 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | ((~nextState(constB87, constB88)) | (v110(constB88) <=> v108(constB87)))),
% 13.53/8.79 inference(quant_inst,[status(thm)],[])).
% 13.53/8.79 tff(929,plain,
% 13.53/8.79 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | (~nextState(constB87, constB88)) | (v110(constB88) <=> v108(constB87))),
% 13.53/8.79 inference(modus_ponens,[status(thm)],[928, 927])).
% 13.53/8.79 tff(930,plain,
% 13.53/8.79 (v110(constB88) <=> v108(constB87)),
% 13.53/8.79 inference(unit_resolution,[status(thm)],[929, 891, 556])).
% 13.53/8.79 tff(931,plain,
% 13.53/8.79 ((~![VarCurr: $i] : (v108(VarCurr) <=> (v111(VarCurr) | v112(VarCurr)))) | (v108(constB87) <=> (v111(constB87) | v112(constB87)))),
% 13.53/8.79 inference(quant_inst,[status(thm)],[])).
% 13.53/8.79 tff(932,plain,
% 13.53/8.79 (v108(constB87) <=> (v111(constB87) | v112(constB87))),
% 13.53/8.79 inference(unit_resolution,[status(thm)],[931, 567])).
% 13.53/8.79 tff(933,plain,
% 13.53/8.79 ((~![VarCurr: $i] : (v112(VarCurr) <=> (~((~v113(VarCurr)) | (~v126(VarCurr)))))) | (v112(constB87) <=> (~((~v113(constB87)) | (~v126(constB87)))))),
% 13.53/8.79 inference(quant_inst,[status(thm)],[])).
% 13.53/8.79 tff(934,plain,
% 13.53/8.79 (v112(constB87) <=> (~((~v113(constB87)) | (~v126(constB87))))),
% 13.53/8.79 inference(unit_resolution,[status(thm)],[933, 579])).
% 13.53/8.79 tff(935,plain,
% 13.53/8.79 ((~![VarCurr: $i] : (v113(VarCurr) <=> (v114(VarCurr) | v125(VarCurr)))) | (v113(constB87) <=> (v114(constB87) | v125(constB87)))),
% 13.53/8.79 inference(quant_inst,[status(thm)],[])).
% 13.53/8.79 tff(936,plain,
% 13.53/8.79 (v113(constB87) <=> (v114(constB87) | v125(constB87))),
% 13.53/8.79 inference(unit_resolution,[status(thm)],[935, 588])).
% 13.53/8.79 tff(937,plain,
% 13.53/8.79 ((~![VarCurr: $i] : (v114(VarCurr) <=> (v115(VarCurr) | v124(VarCurr)))) | (v114(constB87) <=> (v115(constB87) | v124(constB87)))),
% 13.53/8.79 inference(quant_inst,[status(thm)],[])).
% 13.53/8.79 tff(938,plain,
% 13.53/8.79 (v114(constB87) <=> (v115(constB87) | v124(constB87))),
% 13.53/8.79 inference(unit_resolution,[status(thm)],[937, 597])).
% 13.53/8.79 tff(939,plain,
% 13.53/8.79 ((~![VarCurr: $i] : (v115(VarCurr) <=> (v116(VarCurr) | v123(VarCurr)))) | (v115(constB87) <=> (v116(constB87) | v123(constB87)))),
% 13.53/8.79 inference(quant_inst,[status(thm)],[])).
% 13.53/8.79 tff(940,plain,
% 13.53/8.79 (v115(constB87) <=> (v116(constB87) | v123(constB87))),
% 13.53/8.79 inference(unit_resolution,[status(thm)],[939, 606])).
% 13.53/8.79 tff(941,plain,
% 13.53/8.79 ((~![VarCurr: $i] : (v116(VarCurr) <=> (v117(VarCurr) | v122(VarCurr)))) | (v116(constB87) <=> (v117(constB87) | v122(constB87)))),
% 13.53/8.79 inference(quant_inst,[status(thm)],[])).
% 13.53/8.79 tff(942,plain,
% 13.53/8.79 (v116(constB87) <=> (v117(constB87) | v122(constB87))),
% 13.53/8.79 inference(unit_resolution,[status(thm)],[941, 719])).
% 13.53/8.79 tff(943,plain,
% 13.53/8.79 ((~![VarCurr: $i] : (v117(VarCurr) <=> (v118(VarCurr) | v121(VarCurr)))) | (v117(constB87) <=> (v118(constB87) | v121(constB87)))),
% 13.53/8.79 inference(quant_inst,[status(thm)],[])).
% 13.53/8.79 tff(944,plain,
% 13.53/8.79 (v117(constB87) <=> (v118(constB87) | v121(constB87))),
% 13.53/8.79 inference(unit_resolution,[status(thm)],[943, 834])).
% 13.53/8.79 tff(945,plain,
% 13.53/8.79 (^[VarCurr: $i] : refl((v118(VarCurr) <=> (v119(VarCurr) | v120(VarCurr))) <=> (v118(VarCurr) <=> (v119(VarCurr) | v120(VarCurr))))),
% 13.53/8.79 inference(bind,[status(th)],[])).
% 13.53/8.79 tff(946,plain,
% 13.53/8.79 (![VarCurr: $i] : (v118(VarCurr) <=> (v119(VarCurr) | v120(VarCurr))) <=> ![VarCurr: $i] : (v118(VarCurr) <=> (v119(VarCurr) | v120(VarCurr)))),
% 13.53/8.79 inference(quant_intro,[status(thm)],[945])).
% 13.53/8.79 tff(947,plain,
% 13.53/8.79 (![VarCurr: $i] : (v118(VarCurr) <=> (v119(VarCurr) | v120(VarCurr))) <=> ![VarCurr: $i] : (v118(VarCurr) <=> (v119(VarCurr) | v120(VarCurr)))),
% 13.53/8.79 inference(rewrite,[status(thm)],[])).
% 13.53/8.79 tff(948,axiom,(![VarCurr: $i] : (v118(VarCurr) <=> (v119(VarCurr) | v120(VarCurr)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','writeBinaryOperatorEqualRangesSingleBits_19')).
% 13.53/8.79 tff(949,plain,
% 13.53/8.79 (![VarCurr: $i] : (v118(VarCurr) <=> (v119(VarCurr) | v120(VarCurr)))),
% 13.53/8.79 inference(modus_ponens,[status(thm)],[948, 947])).
% 13.53/8.79 tff(950,plain,(
% 13.53/8.79 ![VarCurr: $i] : (v118(VarCurr) <=> (v119(VarCurr) | v120(VarCurr)))),
% 13.53/8.79 inference(skolemize,[status(sab)],[949])).
% 13.53/8.79 tff(951,plain,
% 13.53/8.79 (![VarCurr: $i] : (v118(VarCurr) <=> (v119(VarCurr) | v120(VarCurr)))),
% 13.53/8.79 inference(modus_ponens,[status(thm)],[950, 946])).
% 13.53/8.79 tff(952,plain,
% 13.53/8.79 ((~![VarCurr: $i] : (v118(VarCurr) <=> (v119(VarCurr) | v120(VarCurr)))) | (v118(constB87) <=> (v119(constB87) | v120(constB87)))),
% 13.53/8.79 inference(quant_inst,[status(thm)],[])).
% 13.53/8.79 tff(953,plain,
% 13.53/8.79 (v118(constB87) <=> (v119(constB87) | v120(constB87))),
% 13.53/8.79 inference(unit_resolution,[status(thm)],[952, 951])).
% 13.53/8.79 tff(954,plain,
% 13.53/8.79 (^[VarCurr: $i] : refl((v120(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0))))) <=> (v120(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0))))))),
% 13.53/8.79 inference(bind,[status(th)],[])).
% 13.53/8.79 tff(955,plain,
% 13.53/8.79 (![VarCurr: $i] : (v120(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0))))) <=> ![VarCurr: $i] : (v120(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)))))),
% 13.53/8.79 inference(quant_intro,[status(thm)],[954])).
% 13.53/8.79 tff(956,plain,
% 13.53/8.79 (^[VarCurr: $i] : rewrite((v120(VarCurr) <=> ((~v90(VarCurr, bitIndex2)) & (~v90(VarCurr, bitIndex1)) & v90(VarCurr, bitIndex0))) <=> (v120(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0))))))),
% 13.53/8.79 inference(bind,[status(th)],[])).
% 13.53/8.79 tff(957,plain,
% 13.53/8.79 (![VarCurr: $i] : (v120(VarCurr) <=> ((~v90(VarCurr, bitIndex2)) & (~v90(VarCurr, bitIndex1)) & v90(VarCurr, bitIndex0))) <=> ![VarCurr: $i] : (v120(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)))))),
% 13.53/8.79 inference(quant_intro,[status(thm)],[956])).
% 13.53/8.79 tff(958,plain,
% 13.53/8.79 (![VarCurr: $i] : (v120(VarCurr) <=> ((~v90(VarCurr, bitIndex2)) & (~v90(VarCurr, bitIndex1)) & v90(VarCurr, bitIndex0))) <=> ![VarCurr: $i] : (v120(VarCurr) <=> ((~v90(VarCurr, bitIndex2)) & (~v90(VarCurr, bitIndex1)) & v90(VarCurr, bitIndex0)))),
% 13.53/8.79 inference(rewrite,[status(thm)],[])).
% 13.53/8.79 tff(959,plain,
% 13.53/8.79 (^[VarCurr: $i] : rewrite((v120(VarCurr) <=> (((v90(VarCurr, bitIndex2) <=> $false) & (v90(VarCurr, bitIndex1) <=> $false)) & (v90(VarCurr, bitIndex0) <=> $true))) <=> (v120(VarCurr) <=> ((~v90(VarCurr, bitIndex2)) & (~v90(VarCurr, bitIndex1)) & v90(VarCurr, bitIndex0))))),
% 13.53/8.79 inference(bind,[status(th)],[])).
% 13.53/8.79 tff(960,plain,
% 13.53/8.79 (![VarCurr: $i] : (v120(VarCurr) <=> (((v90(VarCurr, bitIndex2) <=> $false) & (v90(VarCurr, bitIndex1) <=> $false)) & (v90(VarCurr, bitIndex0) <=> $true))) <=> ![VarCurr: $i] : (v120(VarCurr) <=> ((~v90(VarCurr, bitIndex2)) & (~v90(VarCurr, bitIndex1)) & v90(VarCurr, bitIndex0)))),
% 13.53/8.79 inference(quant_intro,[status(thm)],[959])).
% 13.53/8.79 tff(961,axiom,(![VarCurr: $i] : (v120(VarCurr) <=> (((v90(VarCurr, bitIndex2) <=> $false) & (v90(VarCurr, bitIndex1) <=> $false)) & (v90(VarCurr, bitIndex0) <=> $true)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','addBitVectorEqualityBitBlasted_3')).
% 13.53/8.79 tff(962,plain,
% 13.53/8.79 (![VarCurr: $i] : (v120(VarCurr) <=> ((~v90(VarCurr, bitIndex2)) & (~v90(VarCurr, bitIndex1)) & v90(VarCurr, bitIndex0)))),
% 13.53/8.79 inference(modus_ponens,[status(thm)],[961, 960])).
% 13.53/8.79 tff(963,plain,
% 13.53/8.79 (![VarCurr: $i] : (v120(VarCurr) <=> ((~v90(VarCurr, bitIndex2)) & (~v90(VarCurr, bitIndex1)) & v90(VarCurr, bitIndex0)))),
% 13.53/8.79 inference(modus_ponens,[status(thm)],[962, 958])).
% 13.53/8.79 tff(964,plain,(
% 13.53/8.79 ![VarCurr: $i] : (v120(VarCurr) <=> ((~v90(VarCurr, bitIndex2)) & (~v90(VarCurr, bitIndex1)) & v90(VarCurr, bitIndex0)))),
% 13.53/8.79 inference(skolemize,[status(sab)],[963])).
% 13.53/8.79 tff(965,plain,
% 13.53/8.79 (![VarCurr: $i] : (v120(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)))))),
% 13.53/8.79 inference(modus_ponens,[status(thm)],[964, 957])).
% 13.53/8.79 tff(966,plain,
% 13.53/8.79 (![VarCurr: $i] : (v120(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)))))),
% 13.53/8.79 inference(modus_ponens,[status(thm)],[965, 955])).
% 13.53/8.79 tff(967,plain,
% 13.53/8.79 (((~![VarCurr: $i] : (v120(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)))))) | (v120(constB87) <=> (~(v90(constB87, bitIndex2) | v90(constB87, bitIndex1) | (~v90(constB87, bitIndex0)))))) <=> ((~![VarCurr: $i] : (v120(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)))))) | (v120(constB87) <=> (~(v90(constB87, bitIndex2) | v90(constB87, bitIndex1) | (~v90(constB87, bitIndex0))))))),
% 13.53/8.79 inference(rewrite,[status(thm)],[])).
% 13.53/8.79 tff(968,plain,
% 13.53/8.79 ((v120(constB87) <=> (~(v90(constB87, bitIndex1) | v90(constB87, bitIndex2) | (~v90(constB87, bitIndex0))))) <=> (v120(constB87) <=> (~(v90(constB87, bitIndex2) | v90(constB87, bitIndex1) | (~v90(constB87, bitIndex0)))))),
% 13.53/8.79 inference(rewrite,[status(thm)],[])).
% 13.53/8.79 tff(969,plain,
% 13.53/8.79 (((~![VarCurr: $i] : (v120(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)))))) | (v120(constB87) <=> (~(v90(constB87, bitIndex1) | v90(constB87, bitIndex2) | (~v90(constB87, bitIndex0)))))) <=> ((~![VarCurr: $i] : (v120(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)))))) | (v120(constB87) <=> (~(v90(constB87, bitIndex2) | v90(constB87, bitIndex1) | (~v90(constB87, bitIndex0))))))),
% 13.53/8.79 inference(monotonicity,[status(thm)],[968])).
% 13.53/8.79 tff(970,plain,
% 13.53/8.79 (((~![VarCurr: $i] : (v120(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)))))) | (v120(constB87) <=> (~(v90(constB87, bitIndex1) | v90(constB87, bitIndex2) | (~v90(constB87, bitIndex0)))))) <=> ((~![VarCurr: $i] : (v120(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)))))) | (v120(constB87) <=> (~(v90(constB87, bitIndex2) | v90(constB87, bitIndex1) | (~v90(constB87, bitIndex0))))))),
% 13.53/8.79 inference(transitivity,[status(thm)],[969, 967])).
% 13.53/8.79 tff(971,plain,
% 13.53/8.79 ((~![VarCurr: $i] : (v120(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)))))) | (v120(constB87) <=> (~(v90(constB87, bitIndex1) | v90(constB87, bitIndex2) | (~v90(constB87, bitIndex0)))))),
% 13.53/8.79 inference(quant_inst,[status(thm)],[])).
% 13.53/8.79 tff(972,plain,
% 13.53/8.79 ((~![VarCurr: $i] : (v120(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)))))) | (v120(constB87) <=> (~(v90(constB87, bitIndex2) | v90(constB87, bitIndex1) | (~v90(constB87, bitIndex0)))))),
% 13.53/8.79 inference(modus_ponens,[status(thm)],[971, 970])).
% 13.53/8.79 tff(973,plain,
% 13.53/8.79 (v120(constB87) <=> (~(v90(constB87, bitIndex2) | v90(constB87, bitIndex1) | (~v90(constB87, bitIndex0))))),
% 13.53/8.79 inference(unit_resolution,[status(thm)],[972, 966])).
% 13.53/8.79 tff(974,plain,
% 13.53/8.79 (nextState(constB86, constB87) <=> nextState(constB86, constB87)),
% 13.53/8.79 inference(rewrite,[status(thm)],[])).
% 13.53/8.79 tff(975,axiom,(nextState(constB86, constB87)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_86')).
% 13.53/8.79 tff(976,plain,
% 13.53/8.79 (nextState(constB86, constB87)),
% 13.53/8.79 inference(modus_ponens,[status(thm)],[975, 974])).
% 13.53/8.79 tff(977,plain,
% 13.53/8.79 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB86, constB87)) | (v100(constB87) <=> (~((~v101(constB87)) | (~v110(constB87))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB86, constB87)) | (v100(constB87) <=> (~((~v101(constB87)) | (~v110(constB87))))))),
% 13.53/8.79 inference(rewrite,[status(thm)],[])).
% 13.53/8.79 tff(978,plain,
% 13.53/8.79 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB86, constB87)) | (v100(constB87) <=> (~((~v101(constB87)) | (~v110(constB87))))))),
% 13.53/8.79 inference(quant_inst,[status(thm)],[])).
% 13.53/8.79 tff(979,plain,
% 13.53/8.79 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB86, constB87)) | (v100(constB87) <=> (~((~v101(constB87)) | (~v110(constB87)))))),
% 13.53/8.79 inference(modus_ponens,[status(thm)],[978, 977])).
% 13.53/8.79 tff(980,plain,
% 13.53/8.79 (v100(constB87) <=> (~((~v101(constB87)) | (~v110(constB87))))),
% 13.53/8.79 inference(unit_resolution,[status(thm)],[979, 976, 430])).
% 13.53/8.79 tff(981,plain,
% 13.53/8.79 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB86, constB87)) | (v101(constB87) <=> (~((~v1(constB87)) | (~v102(constB87))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB86, constB87)) | (v101(constB87) <=> (~((~v1(constB87)) | (~v102(constB87))))))),
% 13.53/8.79 inference(rewrite,[status(thm)],[])).
% 13.53/8.79 tff(982,plain,
% 13.53/8.79 (((~nextState(constB86, constB87)) | (v101(constB87) <=> (~((~v102(constB87)) | (~v1(constB87)))))) <=> ((~nextState(constB86, constB87)) | (v101(constB87) <=> (~((~v1(constB87)) | (~v102(constB87))))))),
% 13.53/8.79 inference(rewrite,[status(thm)],[])).
% 13.53/8.79 tff(983,plain,
% 13.53/8.79 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB86, constB87)) | (v101(constB87) <=> (~((~v102(constB87)) | (~v1(constB87))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB86, constB87)) | (v101(constB87) <=> (~((~v1(constB87)) | (~v102(constB87)))))))),
% 13.53/8.79 inference(monotonicity,[status(thm)],[982])).
% 13.53/8.79 tff(984,plain,
% 13.53/8.79 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB86, constB87)) | (v101(constB87) <=> (~((~v102(constB87)) | (~v1(constB87))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB86, constB87)) | (v101(constB87) <=> (~((~v1(constB87)) | (~v102(constB87))))))),
% 13.53/8.79 inference(transitivity,[status(thm)],[983, 981])).
% 13.53/8.79 tff(985,plain,
% 13.53/8.79 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB86, constB87)) | (v101(constB87) <=> (~((~v102(constB87)) | (~v1(constB87))))))),
% 13.53/8.80 inference(quant_inst,[status(thm)],[])).
% 13.53/8.80 tff(986,plain,
% 13.53/8.80 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB86, constB87)) | (v101(constB87) <=> (~((~v1(constB87)) | (~v102(constB87)))))),
% 13.53/8.80 inference(modus_ponens,[status(thm)],[985, 984])).
% 13.53/8.80 tff(987,plain,
% 13.53/8.80 (v101(constB87) <=> (~((~v1(constB87)) | (~v102(constB87))))),
% 13.53/8.80 inference(unit_resolution,[status(thm)],[986, 976, 450])).
% 13.53/8.80 tff(988,plain,
% 13.53/8.80 (((~v1(constB87)) | (~v102(constB87))) | v1(constB87)),
% 13.53/8.80 inference(tautology,[status(thm)],[])).
% 13.53/8.80 tff(989,plain,
% 13.53/8.80 ((~v1(constB87)) | (~v102(constB87))),
% 13.53/8.80 inference(unit_resolution,[status(thm)],[988, 913])).
% 13.53/8.80 tff(990,plain,
% 13.53/8.80 ((~(v101(constB87) <=> (~((~v1(constB87)) | (~v102(constB87)))))) | (~v101(constB87)) | (~((~v1(constB87)) | (~v102(constB87))))),
% 13.53/8.80 inference(tautology,[status(thm)],[])).
% 13.53/8.80 tff(991,plain,
% 13.53/8.80 ((~(v101(constB87) <=> (~((~v1(constB87)) | (~v102(constB87)))))) | (~v101(constB87))),
% 13.53/8.80 inference(unit_resolution,[status(thm)],[990, 989])).
% 13.53/8.80 tff(992,plain,
% 13.53/8.80 (~v101(constB87)),
% 13.53/8.80 inference(unit_resolution,[status(thm)],[991, 987])).
% 13.53/8.80 tff(993,plain,
% 13.53/8.80 (((~v101(constB87)) | (~v110(constB87))) | v101(constB87)),
% 13.53/8.80 inference(tautology,[status(thm)],[])).
% 13.53/8.80 tff(994,plain,
% 13.53/8.80 ((~v101(constB87)) | (~v110(constB87))),
% 13.53/8.80 inference(unit_resolution,[status(thm)],[993, 992])).
% 13.53/8.80 tff(995,plain,
% 13.53/8.80 ((~(v100(constB87) <=> (~((~v101(constB87)) | (~v110(constB87)))))) | (~v100(constB87)) | (~((~v101(constB87)) | (~v110(constB87))))),
% 13.53/8.80 inference(tautology,[status(thm)],[])).
% 13.53/8.80 tff(996,plain,
% 13.53/8.80 (~v100(constB87)),
% 13.53/8.80 inference(unit_resolution,[status(thm)],[995, 994, 980])).
% 13.53/8.80 tff(997,plain,
% 13.53/8.80 (((~![VarCurr: $i, VarNext: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v90(VarCurr, B))))) | (v100(constB87) | (~nextState(constB86, constB87)) | ![B: $i] : ((~less_3(B)) | (v90(constB87, B) <=> v90(constB86, B))))) <=> ((~![VarCurr: $i, VarNext: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v90(VarCurr, B))))) | v100(constB87) | (~nextState(constB86, constB87)) | ![B: $i] : ((~less_3(B)) | (v90(constB87, B) <=> v90(constB86, B))))),
% 13.53/8.80 inference(rewrite,[status(thm)],[])).
% 13.53/8.80 tff(998,plain,
% 13.53/8.80 ((~![VarCurr: $i, VarNext: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v90(VarCurr, B))))) | (v100(constB87) | (~nextState(constB86, constB87)) | ![B: $i] : ((~less_3(B)) | (v90(constB87, B) <=> v90(constB86, B))))),
% 13.53/8.80 inference(quant_inst,[status(thm)],[])).
% 13.53/8.80 tff(999,plain,
% 13.53/8.80 ((~![VarCurr: $i, VarNext: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v90(VarCurr, B))))) | v100(constB87) | (~nextState(constB86, constB87)) | ![B: $i] : ((~less_3(B)) | (v90(constB87, B) <=> v90(constB86, B)))),
% 13.53/8.80 inference(modus_ponens,[status(thm)],[998, 997])).
% 13.53/8.80 tff(1000,plain,
% 13.53/8.80 (v100(constB87) | ![B: $i] : ((~less_3(B)) | (v90(constB87, B) <=> v90(constB86, B)))),
% 13.53/8.80 inference(unit_resolution,[status(thm)],[999, 976, 479])).
% 13.53/8.80 tff(1001,plain,
% 13.53/8.80 (![B: $i] : ((~less_3(B)) | (v90(constB87, B) <=> v90(constB86, B)))),
% 13.53/8.80 inference(unit_resolution,[status(thm)],[1000, 996])).
% 13.53/8.80 tff(1002,plain,
% 13.53/8.80 (((~![B: $i] : ((~less_3(B)) | (v90(constB87, B) <=> v90(constB86, B)))) | ((~less_3(bitIndex2)) | (v90(constB87, bitIndex2) <=> v90(constB86, bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v90(constB87, B) <=> v90(constB86, B)))) | (~less_3(bitIndex2)) | (v90(constB87, bitIndex2) <=> v90(constB86, bitIndex2)))),
% 13.53/8.80 inference(rewrite,[status(thm)],[])).
% 13.53/8.80 tff(1003,plain,
% 13.53/8.80 ((~![B: $i] : ((~less_3(B)) | (v90(constB87, B) <=> v90(constB86, B)))) | ((~less_3(bitIndex2)) | (v90(constB87, bitIndex2) <=> v90(constB86, bitIndex2)))),
% 13.61/8.80 inference(quant_inst,[status(thm)],[])).
% 13.61/8.80 tff(1004,plain,
% 13.61/8.80 ((~![B: $i] : ((~less_3(B)) | (v90(constB87, B) <=> v90(constB86, B)))) | (~less_3(bitIndex2)) | (v90(constB87, bitIndex2) <=> v90(constB86, bitIndex2))),
% 13.61/8.80 inference(modus_ponens,[status(thm)],[1003, 1002])).
% 13.61/8.80 tff(1005,plain,
% 13.61/8.80 (v90(constB87, bitIndex2) <=> v90(constB86, bitIndex2)),
% 13.61/8.80 inference(unit_resolution,[status(thm)],[1004, 413, 1001])).
% 13.61/8.80 tff(1006,plain,
% 13.61/8.80 (nextState(constB85, constB86) <=> nextState(constB85, constB86)),
% 13.61/8.80 inference(rewrite,[status(thm)],[])).
% 13.61/8.80 tff(1007,axiom,(nextState(constB85, constB86)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_85')).
% 13.61/8.80 tff(1008,plain,
% 13.61/8.80 (nextState(constB85, constB86)),
% 13.61/8.80 inference(modus_ponens,[status(thm)],[1007, 1006])).
% 13.61/8.80 tff(1009,plain,
% 13.61/8.80 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB85, constB86)) | (v100(constB86) <=> (~((~v101(constB86)) | (~v110(constB86))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB85, constB86)) | (v100(constB86) <=> (~((~v101(constB86)) | (~v110(constB86))))))),
% 13.61/8.80 inference(rewrite,[status(thm)],[])).
% 13.61/8.80 tff(1010,plain,
% 13.61/8.80 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB85, constB86)) | (v100(constB86) <=> (~((~v101(constB86)) | (~v110(constB86))))))),
% 13.61/8.80 inference(quant_inst,[status(thm)],[])).
% 13.61/8.80 tff(1011,plain,
% 13.61/8.80 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB85, constB86)) | (v100(constB86) <=> (~((~v101(constB86)) | (~v110(constB86)))))),
% 13.61/8.80 inference(modus_ponens,[status(thm)],[1010, 1009])).
% 13.61/8.80 tff(1012,plain,
% 13.61/8.80 (v100(constB86) <=> (~((~v101(constB86)) | (~v110(constB86))))),
% 13.61/8.80 inference(unit_resolution,[status(thm)],[1011, 1008, 430])).
% 13.61/8.80 tff(1013,plain,
% 13.61/8.80 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB85, constB86)) | (v101(constB86) <=> (~((~v1(constB86)) | (~v102(constB86))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB85, constB86)) | (v101(constB86) <=> (~((~v1(constB86)) | (~v102(constB86))))))),
% 13.61/8.80 inference(rewrite,[status(thm)],[])).
% 13.61/8.80 tff(1014,plain,
% 13.61/8.80 (((~nextState(constB85, constB86)) | (v101(constB86) <=> (~((~v102(constB86)) | (~v1(constB86)))))) <=> ((~nextState(constB85, constB86)) | (v101(constB86) <=> (~((~v1(constB86)) | (~v102(constB86))))))),
% 13.61/8.80 inference(rewrite,[status(thm)],[])).
% 13.61/8.80 tff(1015,plain,
% 13.61/8.80 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB85, constB86)) | (v101(constB86) <=> (~((~v102(constB86)) | (~v1(constB86))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB85, constB86)) | (v101(constB86) <=> (~((~v1(constB86)) | (~v102(constB86)))))))),
% 13.61/8.80 inference(monotonicity,[status(thm)],[1014])).
% 13.61/8.80 tff(1016,plain,
% 13.61/8.80 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB85, constB86)) | (v101(constB86) <=> (~((~v102(constB86)) | (~v1(constB86))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB85, constB86)) | (v101(constB86) <=> (~((~v1(constB86)) | (~v102(constB86))))))),
% 13.61/8.80 inference(transitivity,[status(thm)],[1015, 1013])).
% 13.61/8.80 tff(1017,plain,
% 13.61/8.80 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB85, constB86)) | (v101(constB86) <=> (~((~v102(constB86)) | (~v1(constB86))))))),
% 13.61/8.80 inference(quant_inst,[status(thm)],[])).
% 13.61/8.80 tff(1018,plain,
% 13.61/8.80 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB85, constB86)) | (v101(constB86) <=> (~((~v1(constB86)) | (~v102(constB86)))))),
% 13.61/8.80 inference(modus_ponens,[status(thm)],[1017, 1016])).
% 13.61/8.80 tff(1019,plain,
% 13.61/8.80 (v101(constB86) <=> (~((~v1(constB86)) | (~v102(constB86))))),
% 13.61/8.80 inference(unit_resolution,[status(thm)],[1018, 1008, 450])).
% 13.61/8.80 tff(1020,plain,
% 13.61/8.80 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | ((~nextState(constB85, constB86)) | ((~v102(constB86)) <=> v104(constB86)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | (~nextState(constB85, constB86)) | ((~v102(constB86)) <=> v104(constB86)))),
% 13.61/8.80 inference(rewrite,[status(thm)],[])).
% 13.61/8.80 tff(1021,plain,
% 13.61/8.80 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | ((~nextState(constB85, constB86)) | ((~v102(constB86)) <=> v104(constB86)))),
% 13.61/8.80 inference(quant_inst,[status(thm)],[])).
% 13.61/8.80 tff(1022,plain,
% 13.61/8.80 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | (~nextState(constB85, constB86)) | ((~v102(constB86)) <=> v104(constB86))),
% 13.61/8.80 inference(modus_ponens,[status(thm)],[1021, 1020])).
% 13.61/8.80 tff(1023,plain,
% 13.61/8.80 ((~v102(constB86)) <=> v104(constB86)),
% 13.61/8.80 inference(unit_resolution,[status(thm)],[1022, 1008, 512])).
% 13.61/8.80 tff(1024,plain,
% 13.61/8.80 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB85, constB86)) | (v104(constB86) <=> v1(constB85)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | (~nextState(constB85, constB86)) | (v104(constB86) <=> v1(constB85)))),
% 13.61/8.80 inference(rewrite,[status(thm)],[])).
% 13.61/8.80 tff(1025,plain,
% 13.61/8.80 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB85, constB86)) | (v104(constB86) <=> v1(constB85)))),
% 13.61/8.80 inference(quant_inst,[status(thm)],[])).
% 13.61/8.80 tff(1026,plain,
% 13.61/8.80 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | (~nextState(constB85, constB86)) | (v104(constB86) <=> v1(constB85))),
% 13.61/8.80 inference(modus_ponens,[status(thm)],[1025, 1024])).
% 13.61/8.80 tff(1027,plain,
% 13.61/8.80 (v104(constB86) <=> v1(constB85)),
% 13.61/8.80 inference(unit_resolution,[status(thm)],[1026, 1008, 526])).
% 13.61/8.80 tff(1028,plain,
% 13.61/8.80 ((~v1(constB85)) <=> (~v1(constB85))),
% 13.61/8.80 inference(rewrite,[status(thm)],[])).
% 13.61/8.80 tff(1029,axiom,(~v1(constB85)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_85')).
% 13.61/8.80 tff(1030,plain,
% 13.61/8.80 (~v1(constB85)),
% 13.61/8.80 inference(modus_ponens,[status(thm)],[1029, 1028])).
% 13.61/8.80 tff(1031,plain,
% 13.61/8.80 ((~(v104(constB86) <=> v1(constB85))) | (~v104(constB86)) | v1(constB85)),
% 13.61/8.80 inference(tautology,[status(thm)],[])).
% 13.61/8.80 tff(1032,plain,
% 13.61/8.80 ((~(v104(constB86) <=> v1(constB85))) | (~v104(constB86))),
% 13.61/8.80 inference(unit_resolution,[status(thm)],[1031, 1030])).
% 13.61/8.80 tff(1033,plain,
% 13.61/8.80 (~v104(constB86)),
% 13.61/8.80 inference(unit_resolution,[status(thm)],[1032, 1027])).
% 13.61/8.80 tff(1034,plain,
% 13.61/8.80 ((~((~v102(constB86)) <=> v104(constB86))) | v102(constB86) | v104(constB86)),
% 13.61/8.80 inference(tautology,[status(thm)],[])).
% 13.61/8.80 tff(1035,plain,
% 13.61/8.80 (v102(constB86)),
% 13.61/8.80 inference(unit_resolution,[status(thm)],[1034, 1033, 1023])).
% 13.61/8.80 tff(1036,plain,
% 13.61/8.80 (v1(constB86) <=> v1(constB86)),
% 13.61/8.80 inference(rewrite,[status(thm)],[])).
% 13.61/8.80 tff(1037,axiom,(v1(constB86)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_86')).
% 13.61/8.80 tff(1038,plain,
% 13.61/8.80 (v1(constB86)),
% 13.61/8.80 inference(modus_ponens,[status(thm)],[1037, 1036])).
% 13.61/8.80 tff(1039,plain,
% 13.61/8.80 ((~((~v1(constB86)) | (~v102(constB86)))) | (~v1(constB86)) | (~v102(constB86))),
% 13.61/8.80 inference(tautology,[status(thm)],[])).
% 13.61/8.80 tff(1040,plain,
% 13.61/8.80 ((~((~v1(constB86)) | (~v102(constB86)))) | (~v102(constB86))),
% 13.61/8.80 inference(unit_resolution,[status(thm)],[1039, 1038])).
% 13.61/8.80 tff(1041,plain,
% 13.61/8.80 (~((~v1(constB86)) | (~v102(constB86)))),
% 13.61/8.80 inference(unit_resolution,[status(thm)],[1040, 1035])).
% 13.61/8.80 tff(1042,plain,
% 13.61/8.80 ((~(v101(constB86) <=> (~((~v1(constB86)) | (~v102(constB86)))))) | v101(constB86) | ((~v1(constB86)) | (~v102(constB86)))),
% 13.61/8.80 inference(tautology,[status(thm)],[])).
% 13.61/8.80 tff(1043,plain,
% 13.61/8.80 (v101(constB86)),
% 13.61/8.80 inference(unit_resolution,[status(thm)],[1042, 1041, 1019])).
% 13.61/8.80 tff(1044,plain,
% 13.61/8.80 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | ((~nextState(constB85, constB86)) | (v110(constB86) <=> v108(constB85)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | (~nextState(constB85, constB86)) | (v110(constB86) <=> v108(constB85)))),
% 13.61/8.80 inference(rewrite,[status(thm)],[])).
% 13.61/8.80 tff(1045,plain,
% 13.61/8.80 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | ((~nextState(constB85, constB86)) | (v110(constB86) <=> v108(constB85)))),
% 13.61/8.80 inference(quant_inst,[status(thm)],[])).
% 13.61/8.80 tff(1046,plain,
% 13.61/8.80 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | (~nextState(constB85, constB86)) | (v110(constB86) <=> v108(constB85))),
% 13.61/8.80 inference(modus_ponens,[status(thm)],[1045, 1044])).
% 13.61/8.80 tff(1047,plain,
% 13.61/8.80 (v110(constB86) <=> v108(constB85)),
% 13.61/8.80 inference(unit_resolution,[status(thm)],[1046, 1008, 556])).
% 13.61/8.80 tff(1048,plain,
% 13.61/8.80 ((~![VarCurr: $i] : (v108(VarCurr) <=> (v111(VarCurr) | v112(VarCurr)))) | (v108(constB85) <=> (v111(constB85) | v112(constB85)))),
% 13.61/8.80 inference(quant_inst,[status(thm)],[])).
% 13.61/8.80 tff(1049,plain,
% 13.61/8.80 (v108(constB85) <=> (v111(constB85) | v112(constB85))),
% 13.61/8.80 inference(unit_resolution,[status(thm)],[1048, 567])).
% 13.61/8.80 tff(1050,plain,
% 13.61/8.80 ((~![VarCurr: $i] : (v112(VarCurr) <=> (~((~v113(VarCurr)) | (~v126(VarCurr)))))) | (v112(constB85) <=> (~((~v113(constB85)) | (~v126(constB85)))))),
% 13.61/8.80 inference(quant_inst,[status(thm)],[])).
% 13.61/8.80 tff(1051,plain,
% 13.61/8.80 (v112(constB85) <=> (~((~v113(constB85)) | (~v126(constB85))))),
% 13.61/8.80 inference(unit_resolution,[status(thm)],[1050, 579])).
% 13.61/8.80 tff(1052,plain,
% 13.61/8.80 ((~![VarCurr: $i] : (v113(VarCurr) <=> (v114(VarCurr) | v125(VarCurr)))) | (v113(constB85) <=> (v114(constB85) | v125(constB85)))),
% 13.61/8.80 inference(quant_inst,[status(thm)],[])).
% 13.61/8.80 tff(1053,plain,
% 13.61/8.80 (v113(constB85) <=> (v114(constB85) | v125(constB85))),
% 13.61/8.80 inference(unit_resolution,[status(thm)],[1052, 588])).
% 13.61/8.80 tff(1054,plain,
% 13.61/8.80 (^[VarCurr: $i] : refl((v125(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2))))) <=> (v125(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2))))))),
% 13.61/8.80 inference(bind,[status(th)],[])).
% 13.61/8.80 tff(1055,plain,
% 13.61/8.80 (![VarCurr: $i] : (v125(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2))))) <=> ![VarCurr: $i] : (v125(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2)))))),
% 13.61/8.80 inference(quant_intro,[status(thm)],[1054])).
% 13.61/8.80 tff(1056,plain,
% 13.61/8.80 (^[VarCurr: $i] : rewrite((v125(VarCurr) <=> (v90(VarCurr, bitIndex2) & v90(VarCurr, bitIndex1) & (~v90(VarCurr, bitIndex0)))) <=> (v125(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2))))))),
% 13.61/8.80 inference(bind,[status(th)],[])).
% 13.61/8.80 tff(1057,plain,
% 13.61/8.80 (![VarCurr: $i] : (v125(VarCurr) <=> (v90(VarCurr, bitIndex2) & v90(VarCurr, bitIndex1) & (~v90(VarCurr, bitIndex0)))) <=> ![VarCurr: $i] : (v125(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2)))))),
% 13.61/8.80 inference(quant_intro,[status(thm)],[1056])).
% 13.61/8.80 tff(1058,plain,
% 13.61/8.80 (![VarCurr: $i] : (v125(VarCurr) <=> (v90(VarCurr, bitIndex2) & v90(VarCurr, bitIndex1) & (~v90(VarCurr, bitIndex0)))) <=> ![VarCurr: $i] : (v125(VarCurr) <=> (v90(VarCurr, bitIndex2) & v90(VarCurr, bitIndex1) & (~v90(VarCurr, bitIndex0))))),
% 13.61/8.81 inference(rewrite,[status(thm)],[])).
% 13.61/8.81 tff(1059,plain,
% 13.61/8.81 (^[VarCurr: $i] : rewrite((v125(VarCurr) <=> (((v90(VarCurr, bitIndex2) <=> $true) & (v90(VarCurr, bitIndex1) <=> $true)) & (v90(VarCurr, bitIndex0) <=> $false))) <=> (v125(VarCurr) <=> (v90(VarCurr, bitIndex2) & v90(VarCurr, bitIndex1) & (~v90(VarCurr, bitIndex0)))))),
% 13.61/8.81 inference(bind,[status(th)],[])).
% 13.61/8.81 tff(1060,plain,
% 13.61/8.81 (![VarCurr: $i] : (v125(VarCurr) <=> (((v90(VarCurr, bitIndex2) <=> $true) & (v90(VarCurr, bitIndex1) <=> $true)) & (v90(VarCurr, bitIndex0) <=> $false))) <=> ![VarCurr: $i] : (v125(VarCurr) <=> (v90(VarCurr, bitIndex2) & v90(VarCurr, bitIndex1) & (~v90(VarCurr, bitIndex0))))),
% 13.61/8.81 inference(quant_intro,[status(thm)],[1059])).
% 13.61/8.81 tff(1061,axiom,(![VarCurr: $i] : (v125(VarCurr) <=> (((v90(VarCurr, bitIndex2) <=> $true) & (v90(VarCurr, bitIndex1) <=> $true)) & (v90(VarCurr, bitIndex0) <=> $false)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','addBitVectorEqualityBitBlasted_8')).
% 13.61/8.81 tff(1062,plain,
% 13.61/8.81 (![VarCurr: $i] : (v125(VarCurr) <=> (v90(VarCurr, bitIndex2) & v90(VarCurr, bitIndex1) & (~v90(VarCurr, bitIndex0))))),
% 13.61/8.81 inference(modus_ponens,[status(thm)],[1061, 1060])).
% 13.61/8.81 tff(1063,plain,
% 13.61/8.81 (![VarCurr: $i] : (v125(VarCurr) <=> (v90(VarCurr, bitIndex2) & v90(VarCurr, bitIndex1) & (~v90(VarCurr, bitIndex0))))),
% 13.61/8.81 inference(modus_ponens,[status(thm)],[1062, 1058])).
% 13.61/8.81 tff(1064,plain,(
% 13.61/8.81 ![VarCurr: $i] : (v125(VarCurr) <=> (v90(VarCurr, bitIndex2) & v90(VarCurr, bitIndex1) & (~v90(VarCurr, bitIndex0))))),
% 13.61/8.81 inference(skolemize,[status(sab)],[1063])).
% 13.61/8.81 tff(1065,plain,
% 13.61/8.81 (![VarCurr: $i] : (v125(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2)))))),
% 13.61/8.81 inference(modus_ponens,[status(thm)],[1064, 1057])).
% 13.61/8.81 tff(1066,plain,
% 13.61/8.81 (![VarCurr: $i] : (v125(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2)))))),
% 13.61/8.81 inference(modus_ponens,[status(thm)],[1065, 1055])).
% 13.61/8.81 tff(1067,plain,
% 13.61/8.81 (((~![VarCurr: $i] : (v125(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2)))))) | (v125(constB85) <=> (~((~v90(constB85, bitIndex2)) | (~v90(constB85, bitIndex1)) | v90(constB85, bitIndex0))))) <=> ((~![VarCurr: $i] : (v125(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2)))))) | (v125(constB85) <=> (~((~v90(constB85, bitIndex2)) | (~v90(constB85, bitIndex1)) | v90(constB85, bitIndex0)))))),
% 13.61/8.81 inference(rewrite,[status(thm)],[])).
% 13.61/8.81 tff(1068,plain,
% 13.61/8.81 ((v125(constB85) <=> (~(v90(constB85, bitIndex0) | (~v90(constB85, bitIndex1)) | (~v90(constB85, bitIndex2))))) <=> (v125(constB85) <=> (~((~v90(constB85, bitIndex2)) | (~v90(constB85, bitIndex1)) | v90(constB85, bitIndex0))))),
% 13.61/8.81 inference(rewrite,[status(thm)],[])).
% 13.61/8.81 tff(1069,plain,
% 13.61/8.81 (((~![VarCurr: $i] : (v125(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2)))))) | (v125(constB85) <=> (~(v90(constB85, bitIndex0) | (~v90(constB85, bitIndex1)) | (~v90(constB85, bitIndex2)))))) <=> ((~![VarCurr: $i] : (v125(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2)))))) | (v125(constB85) <=> (~((~v90(constB85, bitIndex2)) | (~v90(constB85, bitIndex1)) | v90(constB85, bitIndex0)))))),
% 13.61/8.81 inference(monotonicity,[status(thm)],[1068])).
% 13.61/8.81 tff(1070,plain,
% 13.61/8.81 (((~![VarCurr: $i] : (v125(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2)))))) | (v125(constB85) <=> (~(v90(constB85, bitIndex0) | (~v90(constB85, bitIndex1)) | (~v90(constB85, bitIndex2)))))) <=> ((~![VarCurr: $i] : (v125(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2)))))) | (v125(constB85) <=> (~((~v90(constB85, bitIndex2)) | (~v90(constB85, bitIndex1)) | v90(constB85, bitIndex0)))))),
% 13.61/8.81 inference(transitivity,[status(thm)],[1069, 1067])).
% 13.61/8.81 tff(1071,plain,
% 13.61/8.81 ((~![VarCurr: $i] : (v125(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2)))))) | (v125(constB85) <=> (~(v90(constB85, bitIndex0) | (~v90(constB85, bitIndex1)) | (~v90(constB85, bitIndex2)))))),
% 13.61/8.81 inference(quant_inst,[status(thm)],[])).
% 13.61/8.81 tff(1072,plain,
% 13.61/8.81 ((~![VarCurr: $i] : (v125(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2)))))) | (v125(constB85) <=> (~((~v90(constB85, bitIndex2)) | (~v90(constB85, bitIndex1)) | v90(constB85, bitIndex0))))),
% 13.61/8.81 inference(modus_ponens,[status(thm)],[1071, 1070])).
% 13.61/8.81 tff(1073,plain,
% 13.61/8.81 (v125(constB85) <=> (~((~v90(constB85, bitIndex2)) | (~v90(constB85, bitIndex1)) | v90(constB85, bitIndex0)))),
% 13.61/8.81 inference(unit_resolution,[status(thm)],[1072, 1066])).
% 13.61/8.81 tff(1074,plain,
% 13.61/8.81 (nextState(constB84, constB85) <=> nextState(constB84, constB85)),
% 13.61/8.81 inference(rewrite,[status(thm)],[])).
% 13.61/8.81 tff(1075,axiom,(nextState(constB84, constB85)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_84')).
% 13.61/8.81 tff(1076,plain,
% 13.61/8.81 (nextState(constB84, constB85)),
% 13.61/8.81 inference(modus_ponens,[status(thm)],[1075, 1074])).
% 13.61/8.81 tff(1077,plain,
% 13.61/8.81 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB84, constB85)) | (v100(constB85) <=> (~((~v101(constB85)) | (~v110(constB85))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB84, constB85)) | (v100(constB85) <=> (~((~v101(constB85)) | (~v110(constB85))))))),
% 13.61/8.81 inference(rewrite,[status(thm)],[])).
% 13.61/8.81 tff(1078,plain,
% 13.61/8.81 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB84, constB85)) | (v100(constB85) <=> (~((~v101(constB85)) | (~v110(constB85))))))),
% 13.61/8.81 inference(quant_inst,[status(thm)],[])).
% 13.61/8.81 tff(1079,plain,
% 13.61/8.81 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB84, constB85)) | (v100(constB85) <=> (~((~v101(constB85)) | (~v110(constB85)))))),
% 13.61/8.81 inference(modus_ponens,[status(thm)],[1078, 1077])).
% 13.61/8.81 tff(1080,plain,
% 13.61/8.81 (v100(constB85) <=> (~((~v101(constB85)) | (~v110(constB85))))),
% 13.61/8.81 inference(unit_resolution,[status(thm)],[1079, 1076, 430])).
% 13.61/8.81 tff(1081,plain,
% 13.61/8.81 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB84, constB85)) | (v101(constB85) <=> (~((~v1(constB85)) | (~v102(constB85))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB84, constB85)) | (v101(constB85) <=> (~((~v1(constB85)) | (~v102(constB85))))))),
% 13.61/8.81 inference(rewrite,[status(thm)],[])).
% 13.61/8.81 tff(1082,plain,
% 13.61/8.81 (((~nextState(constB84, constB85)) | (v101(constB85) <=> (~((~v102(constB85)) | (~v1(constB85)))))) <=> ((~nextState(constB84, constB85)) | (v101(constB85) <=> (~((~v1(constB85)) | (~v102(constB85))))))),
% 13.61/8.81 inference(rewrite,[status(thm)],[])).
% 13.61/8.81 tff(1083,plain,
% 13.61/8.81 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB84, constB85)) | (v101(constB85) <=> (~((~v102(constB85)) | (~v1(constB85))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB84, constB85)) | (v101(constB85) <=> (~((~v1(constB85)) | (~v102(constB85)))))))),
% 13.61/8.81 inference(monotonicity,[status(thm)],[1082])).
% 13.61/8.81 tff(1084,plain,
% 13.61/8.81 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB84, constB85)) | (v101(constB85) <=> (~((~v102(constB85)) | (~v1(constB85))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB84, constB85)) | (v101(constB85) <=> (~((~v1(constB85)) | (~v102(constB85))))))),
% 13.61/8.81 inference(transitivity,[status(thm)],[1083, 1081])).
% 13.61/8.81 tff(1085,plain,
% 13.61/8.81 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB84, constB85)) | (v101(constB85) <=> (~((~v102(constB85)) | (~v1(constB85))))))),
% 13.61/8.81 inference(quant_inst,[status(thm)],[])).
% 13.61/8.81 tff(1086,plain,
% 13.61/8.81 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB84, constB85)) | (v101(constB85) <=> (~((~v1(constB85)) | (~v102(constB85)))))),
% 13.61/8.81 inference(modus_ponens,[status(thm)],[1085, 1084])).
% 13.61/8.81 tff(1087,plain,
% 13.61/8.81 (v101(constB85) <=> (~((~v1(constB85)) | (~v102(constB85))))),
% 13.61/8.81 inference(unit_resolution,[status(thm)],[1086, 1076, 450])).
% 13.61/8.81 tff(1088,plain,
% 13.61/8.81 (((~v1(constB85)) | (~v102(constB85))) | v1(constB85)),
% 13.61/8.81 inference(tautology,[status(thm)],[])).
% 13.61/8.81 tff(1089,plain,
% 13.61/8.81 ((~v1(constB85)) | (~v102(constB85))),
% 13.61/8.81 inference(unit_resolution,[status(thm)],[1088, 1030])).
% 13.61/8.81 tff(1090,plain,
% 13.61/8.81 ((~(v101(constB85) <=> (~((~v1(constB85)) | (~v102(constB85)))))) | (~v101(constB85)) | (~((~v1(constB85)) | (~v102(constB85))))),
% 13.61/8.81 inference(tautology,[status(thm)],[])).
% 13.61/8.81 tff(1091,plain,
% 13.61/8.81 ((~(v101(constB85) <=> (~((~v1(constB85)) | (~v102(constB85)))))) | (~v101(constB85))),
% 13.61/8.81 inference(unit_resolution,[status(thm)],[1090, 1089])).
% 13.61/8.81 tff(1092,plain,
% 13.61/8.81 (~v101(constB85)),
% 13.61/8.81 inference(unit_resolution,[status(thm)],[1091, 1087])).
% 13.61/8.81 tff(1093,plain,
% 13.61/8.81 (((~v101(constB85)) | (~v110(constB85))) | v101(constB85)),
% 13.61/8.81 inference(tautology,[status(thm)],[])).
% 13.61/8.81 tff(1094,plain,
% 13.61/8.81 ((~v101(constB85)) | (~v110(constB85))),
% 13.61/8.81 inference(unit_resolution,[status(thm)],[1093, 1092])).
% 13.61/8.81 tff(1095,plain,
% 13.61/8.81 ((~(v100(constB85) <=> (~((~v101(constB85)) | (~v110(constB85)))))) | (~v100(constB85)) | (~((~v101(constB85)) | (~v110(constB85))))),
% 13.61/8.81 inference(tautology,[status(thm)],[])).
% 13.61/8.81 tff(1096,plain,
% 13.61/8.81 (~v100(constB85)),
% 13.61/8.81 inference(unit_resolution,[status(thm)],[1095, 1094, 1080])).
% 13.61/8.81 tff(1097,plain,
% 13.61/8.81 (((~![VarCurr: $i, VarNext: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v90(VarCurr, B))))) | (v100(constB85) | (~nextState(constB84, constB85)) | ![B: $i] : ((~less_3(B)) | (v90(constB85, B) <=> v90(constB84, B))))) <=> ((~![VarCurr: $i, VarNext: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v90(VarCurr, B))))) | v100(constB85) | (~nextState(constB84, constB85)) | ![B: $i] : ((~less_3(B)) | (v90(constB85, B) <=> v90(constB84, B))))),
% 13.61/8.81 inference(rewrite,[status(thm)],[])).
% 13.61/8.81 tff(1098,plain,
% 13.61/8.81 ((~![VarCurr: $i, VarNext: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v90(VarCurr, B))))) | (v100(constB85) | (~nextState(constB84, constB85)) | ![B: $i] : ((~less_3(B)) | (v90(constB85, B) <=> v90(constB84, B))))),
% 13.61/8.81 inference(quant_inst,[status(thm)],[])).
% 13.61/8.81 tff(1099,plain,
% 13.61/8.81 ((~![VarCurr: $i, VarNext: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v90(VarCurr, B))))) | v100(constB85) | (~nextState(constB84, constB85)) | ![B: $i] : ((~less_3(B)) | (v90(constB85, B) <=> v90(constB84, B)))),
% 13.61/8.81 inference(modus_ponens,[status(thm)],[1098, 1097])).
% 13.61/8.81 tff(1100,plain,
% 13.61/8.81 (v100(constB85) | ![B: $i] : ((~less_3(B)) | (v90(constB85, B) <=> v90(constB84, B)))),
% 13.61/8.81 inference(unit_resolution,[status(thm)],[1099, 1076, 479])).
% 13.61/8.81 tff(1101,plain,
% 13.61/8.81 (![B: $i] : ((~less_3(B)) | (v90(constB85, B) <=> v90(constB84, B)))),
% 13.61/8.81 inference(unit_resolution,[status(thm)],[1100, 1096])).
% 13.61/8.81 tff(1102,plain,
% 13.61/8.81 (((~![B: $i] : ((~less_3(B)) | (v90(constB85, B) <=> v90(constB84, B)))) | ((~less_3(bitIndex2)) | (v90(constB85, bitIndex2) <=> v90(constB84, bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v90(constB85, B) <=> v90(constB84, B)))) | (~less_3(bitIndex2)) | (v90(constB85, bitIndex2) <=> v90(constB84, bitIndex2)))),
% 13.61/8.82 inference(rewrite,[status(thm)],[])).
% 13.61/8.82 tff(1103,plain,
% 13.61/8.82 ((~![B: $i] : ((~less_3(B)) | (v90(constB85, B) <=> v90(constB84, B)))) | ((~less_3(bitIndex2)) | (v90(constB85, bitIndex2) <=> v90(constB84, bitIndex2)))),
% 13.61/8.82 inference(quant_inst,[status(thm)],[])).
% 13.61/8.82 tff(1104,plain,
% 13.61/8.82 ((~![B: $i] : ((~less_3(B)) | (v90(constB85, B) <=> v90(constB84, B)))) | (~less_3(bitIndex2)) | (v90(constB85, bitIndex2) <=> v90(constB84, bitIndex2))),
% 13.61/8.82 inference(modus_ponens,[status(thm)],[1103, 1102])).
% 13.61/8.82 tff(1105,plain,
% 13.61/8.82 (v90(constB85, bitIndex2) <=> v90(constB84, bitIndex2)),
% 13.61/8.82 inference(unit_resolution,[status(thm)],[1104, 413, 1101])).
% 13.61/8.82 tff(1106,plain,
% 13.61/8.82 (nextState(constB83, constB84) <=> nextState(constB83, constB84)),
% 13.61/8.82 inference(rewrite,[status(thm)],[])).
% 13.61/8.82 tff(1107,axiom,(nextState(constB83, constB84)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_83')).
% 13.61/8.82 tff(1108,plain,
% 13.61/8.82 (nextState(constB83, constB84)),
% 13.61/8.82 inference(modus_ponens,[status(thm)],[1107, 1106])).
% 13.61/8.82 tff(1109,plain,
% 13.61/8.82 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB83, constB84)) | (v100(constB84) <=> (~((~v101(constB84)) | (~v110(constB84))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB83, constB84)) | (v100(constB84) <=> (~((~v101(constB84)) | (~v110(constB84))))))),
% 13.61/8.82 inference(rewrite,[status(thm)],[])).
% 13.61/8.82 tff(1110,plain,
% 13.61/8.82 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB83, constB84)) | (v100(constB84) <=> (~((~v101(constB84)) | (~v110(constB84))))))),
% 13.61/8.82 inference(quant_inst,[status(thm)],[])).
% 13.61/8.82 tff(1111,plain,
% 13.61/8.82 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB83, constB84)) | (v100(constB84) <=> (~((~v101(constB84)) | (~v110(constB84)))))),
% 13.61/8.82 inference(modus_ponens,[status(thm)],[1110, 1109])).
% 13.61/8.82 tff(1112,plain,
% 13.61/8.82 (v100(constB84) <=> (~((~v101(constB84)) | (~v110(constB84))))),
% 13.61/8.82 inference(unit_resolution,[status(thm)],[1111, 1108, 430])).
% 13.61/8.82 tff(1113,plain,
% 13.61/8.82 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB83, constB84)) | (v101(constB84) <=> (~((~v1(constB84)) | (~v102(constB84))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB83, constB84)) | (v101(constB84) <=> (~((~v1(constB84)) | (~v102(constB84))))))),
% 13.61/8.82 inference(rewrite,[status(thm)],[])).
% 13.61/8.82 tff(1114,plain,
% 13.61/8.82 (((~nextState(constB83, constB84)) | (v101(constB84) <=> (~((~v102(constB84)) | (~v1(constB84)))))) <=> ((~nextState(constB83, constB84)) | (v101(constB84) <=> (~((~v1(constB84)) | (~v102(constB84))))))),
% 13.61/8.82 inference(rewrite,[status(thm)],[])).
% 13.61/8.82 tff(1115,plain,
% 13.61/8.82 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB83, constB84)) | (v101(constB84) <=> (~((~v102(constB84)) | (~v1(constB84))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB83, constB84)) | (v101(constB84) <=> (~((~v1(constB84)) | (~v102(constB84)))))))),
% 13.61/8.82 inference(monotonicity,[status(thm)],[1114])).
% 13.61/8.82 tff(1116,plain,
% 13.61/8.82 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB83, constB84)) | (v101(constB84) <=> (~((~v102(constB84)) | (~v1(constB84))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB83, constB84)) | (v101(constB84) <=> (~((~v1(constB84)) | (~v102(constB84))))))),
% 13.61/8.82 inference(transitivity,[status(thm)],[1115, 1113])).
% 13.61/8.82 tff(1117,plain,
% 13.61/8.82 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB83, constB84)) | (v101(constB84) <=> (~((~v102(constB84)) | (~v1(constB84))))))),
% 13.61/8.82 inference(quant_inst,[status(thm)],[])).
% 13.61/8.82 tff(1118,plain,
% 13.61/8.82 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB83, constB84)) | (v101(constB84) <=> (~((~v1(constB84)) | (~v102(constB84)))))),
% 13.61/8.82 inference(modus_ponens,[status(thm)],[1117, 1116])).
% 13.61/8.82 tff(1119,plain,
% 13.61/8.82 (v101(constB84) <=> (~((~v1(constB84)) | (~v102(constB84))))),
% 13.61/8.82 inference(unit_resolution,[status(thm)],[1118, 1108, 450])).
% 13.61/8.82 tff(1120,plain,
% 13.61/8.82 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | ((~nextState(constB83, constB84)) | ((~v102(constB84)) <=> v104(constB84)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | (~nextState(constB83, constB84)) | ((~v102(constB84)) <=> v104(constB84)))),
% 13.61/8.82 inference(rewrite,[status(thm)],[])).
% 13.61/8.82 tff(1121,plain,
% 13.61/8.82 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | ((~nextState(constB83, constB84)) | ((~v102(constB84)) <=> v104(constB84)))),
% 13.61/8.82 inference(quant_inst,[status(thm)],[])).
% 13.61/8.82 tff(1122,plain,
% 13.61/8.82 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | (~nextState(constB83, constB84)) | ((~v102(constB84)) <=> v104(constB84))),
% 13.61/8.82 inference(modus_ponens,[status(thm)],[1121, 1120])).
% 13.61/8.82 tff(1123,plain,
% 13.61/8.82 ((~v102(constB84)) <=> v104(constB84)),
% 13.61/8.82 inference(unit_resolution,[status(thm)],[1122, 1108, 512])).
% 13.61/8.82 tff(1124,plain,
% 13.61/8.82 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB83, constB84)) | (v104(constB84) <=> v1(constB83)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | (~nextState(constB83, constB84)) | (v104(constB84) <=> v1(constB83)))),
% 13.61/8.82 inference(rewrite,[status(thm)],[])).
% 13.61/8.82 tff(1125,plain,
% 13.61/8.82 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB83, constB84)) | (v104(constB84) <=> v1(constB83)))),
% 13.61/8.82 inference(quant_inst,[status(thm)],[])).
% 13.61/8.82 tff(1126,plain,
% 13.61/8.82 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | (~nextState(constB83, constB84)) | (v104(constB84) <=> v1(constB83))),
% 13.61/8.82 inference(modus_ponens,[status(thm)],[1125, 1124])).
% 13.61/8.82 tff(1127,plain,
% 13.61/8.82 (v104(constB84) <=> v1(constB83)),
% 13.61/8.82 inference(unit_resolution,[status(thm)],[1126, 1108, 526])).
% 13.61/8.82 tff(1128,plain,
% 13.61/8.82 ((~v1(constB83)) <=> (~v1(constB83))),
% 13.61/8.82 inference(rewrite,[status(thm)],[])).
% 13.61/8.82 tff(1129,axiom,(~v1(constB83)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_83')).
% 13.61/8.82 tff(1130,plain,
% 13.61/8.82 (~v1(constB83)),
% 13.61/8.82 inference(modus_ponens,[status(thm)],[1129, 1128])).
% 13.61/8.82 tff(1131,plain,
% 13.61/8.82 ((~(v104(constB84) <=> v1(constB83))) | (~v104(constB84)) | v1(constB83)),
% 13.61/8.82 inference(tautology,[status(thm)],[])).
% 13.61/8.82 tff(1132,plain,
% 13.61/8.82 ((~(v104(constB84) <=> v1(constB83))) | (~v104(constB84))),
% 13.61/8.82 inference(unit_resolution,[status(thm)],[1131, 1130])).
% 13.61/8.82 tff(1133,plain,
% 13.61/8.82 (~v104(constB84)),
% 13.61/8.82 inference(unit_resolution,[status(thm)],[1132, 1127])).
% 13.61/8.82 tff(1134,plain,
% 13.61/8.82 ((~((~v102(constB84)) <=> v104(constB84))) | v102(constB84) | v104(constB84)),
% 13.61/8.82 inference(tautology,[status(thm)],[])).
% 13.61/8.82 tff(1135,plain,
% 13.61/8.82 (v102(constB84)),
% 13.61/8.82 inference(unit_resolution,[status(thm)],[1134, 1133, 1123])).
% 13.61/8.82 tff(1136,plain,
% 13.61/8.82 (v1(constB84) <=> v1(constB84)),
% 13.61/8.82 inference(rewrite,[status(thm)],[])).
% 13.61/8.82 tff(1137,axiom,(v1(constB84)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_84')).
% 13.61/8.82 tff(1138,plain,
% 13.61/8.82 (v1(constB84)),
% 13.61/8.82 inference(modus_ponens,[status(thm)],[1137, 1136])).
% 13.61/8.82 tff(1139,plain,
% 13.61/8.82 ((~((~v1(constB84)) | (~v102(constB84)))) | (~v1(constB84)) | (~v102(constB84))),
% 13.61/8.82 inference(tautology,[status(thm)],[])).
% 13.61/8.82 tff(1140,plain,
% 13.61/8.82 ((~((~v1(constB84)) | (~v102(constB84)))) | (~v102(constB84))),
% 13.61/8.82 inference(unit_resolution,[status(thm)],[1139, 1138])).
% 13.61/8.82 tff(1141,plain,
% 13.61/8.82 (~((~v1(constB84)) | (~v102(constB84)))),
% 13.61/8.82 inference(unit_resolution,[status(thm)],[1140, 1135])).
% 13.61/8.82 tff(1142,plain,
% 13.61/8.82 ((~(v101(constB84) <=> (~((~v1(constB84)) | (~v102(constB84)))))) | v101(constB84) | ((~v1(constB84)) | (~v102(constB84)))),
% 13.61/8.82 inference(tautology,[status(thm)],[])).
% 13.61/8.82 tff(1143,plain,
% 13.61/8.82 (v101(constB84)),
% 13.61/8.82 inference(unit_resolution,[status(thm)],[1142, 1141, 1119])).
% 13.61/8.82 tff(1144,plain,
% 13.61/8.82 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | ((~nextState(constB83, constB84)) | (v110(constB84) <=> v108(constB83)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | (~nextState(constB83, constB84)) | (v110(constB84) <=> v108(constB83)))),
% 13.61/8.82 inference(rewrite,[status(thm)],[])).
% 13.61/8.82 tff(1145,plain,
% 13.61/8.82 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | ((~nextState(constB83, constB84)) | (v110(constB84) <=> v108(constB83)))),
% 13.61/8.82 inference(quant_inst,[status(thm)],[])).
% 13.61/8.82 tff(1146,plain,
% 13.61/8.82 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | (~nextState(constB83, constB84)) | (v110(constB84) <=> v108(constB83))),
% 13.61/8.82 inference(modus_ponens,[status(thm)],[1145, 1144])).
% 13.61/8.82 tff(1147,plain,
% 13.61/8.82 (v110(constB84) <=> v108(constB83)),
% 13.61/8.82 inference(unit_resolution,[status(thm)],[1146, 1108, 556])).
% 13.61/8.82 tff(1148,plain,
% 13.61/8.82 ((~![VarCurr: $i] : (v108(VarCurr) <=> (v111(VarCurr) | v112(VarCurr)))) | (v108(constB83) <=> (v111(constB83) | v112(constB83)))),
% 13.61/8.82 inference(quant_inst,[status(thm)],[])).
% 13.61/8.82 tff(1149,plain,
% 13.61/8.82 (v108(constB83) <=> (v111(constB83) | v112(constB83))),
% 13.61/8.82 inference(unit_resolution,[status(thm)],[1148, 567])).
% 13.61/8.82 tff(1150,plain,
% 13.61/8.82 ((~![VarCurr: $i] : (v112(VarCurr) <=> (~((~v113(VarCurr)) | (~v126(VarCurr)))))) | (v112(constB83) <=> (~((~v113(constB83)) | (~v126(constB83)))))),
% 13.61/8.82 inference(quant_inst,[status(thm)],[])).
% 13.61/8.82 tff(1151,plain,
% 13.61/8.82 (v112(constB83) <=> (~((~v113(constB83)) | (~v126(constB83))))),
% 13.61/8.82 inference(unit_resolution,[status(thm)],[1150, 579])).
% 13.61/8.82 tff(1152,plain,
% 13.61/8.82 ((~![VarCurr: $i] : (v113(VarCurr) <=> (v114(VarCurr) | v125(VarCurr)))) | (v113(constB83) <=> (v114(constB83) | v125(constB83)))),
% 13.61/8.82 inference(quant_inst,[status(thm)],[])).
% 13.61/8.82 tff(1153,plain,
% 13.61/8.82 (v113(constB83) <=> (v114(constB83) | v125(constB83))),
% 13.61/8.82 inference(unit_resolution,[status(thm)],[1152, 588])).
% 13.61/8.82 tff(1154,plain,
% 13.61/8.82 ((~![VarCurr: $i] : (v114(VarCurr) <=> (v115(VarCurr) | v124(VarCurr)))) | (v114(constB83) <=> (v115(constB83) | v124(constB83)))),
% 13.61/8.82 inference(quant_inst,[status(thm)],[])).
% 13.61/8.82 tff(1155,plain,
% 13.61/8.82 (v114(constB83) <=> (v115(constB83) | v124(constB83))),
% 13.61/8.82 inference(unit_resolution,[status(thm)],[1154, 597])).
% 13.61/8.82 tff(1156,plain,
% 13.61/8.82 ((~![VarCurr: $i] : (v115(VarCurr) <=> (v116(VarCurr) | v123(VarCurr)))) | (v115(constB83) <=> (v116(constB83) | v123(constB83)))),
% 13.61/8.82 inference(quant_inst,[status(thm)],[])).
% 13.61/8.82 tff(1157,plain,
% 13.61/8.82 (v115(constB83) <=> (v116(constB83) | v123(constB83))),
% 13.61/8.82 inference(unit_resolution,[status(thm)],[1156, 606])).
% 13.61/8.82 tff(1158,plain,
% 13.61/8.82 (((~![VarCurr: $i] : (v123(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)))))) | (v123(constB83) <=> (~((~v90(constB83, bitIndex2)) | v90(constB83, bitIndex1) | v90(constB83, bitIndex0))))) <=> ((~![VarCurr: $i] : (v123(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)))))) | (v123(constB83) <=> (~((~v90(constB83, bitIndex2)) | v90(constB83, bitIndex1) | v90(constB83, bitIndex0)))))),
% 13.61/8.82 inference(rewrite,[status(thm)],[])).
% 13.61/8.82 tff(1159,plain,
% 13.61/8.82 ((v123(constB83) <=> (~(v90(constB83, bitIndex0) | v90(constB83, bitIndex1) | (~v90(constB83, bitIndex2))))) <=> (v123(constB83) <=> (~((~v90(constB83, bitIndex2)) | v90(constB83, bitIndex1) | v90(constB83, bitIndex0))))),
% 13.61/8.82 inference(rewrite,[status(thm)],[])).
% 13.61/8.82 tff(1160,plain,
% 13.61/8.82 (((~![VarCurr: $i] : (v123(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)))))) | (v123(constB83) <=> (~(v90(constB83, bitIndex0) | v90(constB83, bitIndex1) | (~v90(constB83, bitIndex2)))))) <=> ((~![VarCurr: $i] : (v123(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)))))) | (v123(constB83) <=> (~((~v90(constB83, bitIndex2)) | v90(constB83, bitIndex1) | v90(constB83, bitIndex0)))))),
% 13.61/8.82 inference(monotonicity,[status(thm)],[1159])).
% 13.61/8.82 tff(1161,plain,
% 13.61/8.82 (((~![VarCurr: $i] : (v123(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)))))) | (v123(constB83) <=> (~(v90(constB83, bitIndex0) | v90(constB83, bitIndex1) | (~v90(constB83, bitIndex2)))))) <=> ((~![VarCurr: $i] : (v123(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)))))) | (v123(constB83) <=> (~((~v90(constB83, bitIndex2)) | v90(constB83, bitIndex1) | v90(constB83, bitIndex0)))))),
% 13.61/8.82 inference(transitivity,[status(thm)],[1160, 1158])).
% 13.61/8.82 tff(1162,plain,
% 13.61/8.82 ((~![VarCurr: $i] : (v123(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)))))) | (v123(constB83) <=> (~(v90(constB83, bitIndex0) | v90(constB83, bitIndex1) | (~v90(constB83, bitIndex2)))))),
% 13.61/8.82 inference(quant_inst,[status(thm)],[])).
% 13.61/8.82 tff(1163,plain,
% 13.61/8.82 ((~![VarCurr: $i] : (v123(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)))))) | (v123(constB83) <=> (~((~v90(constB83, bitIndex2)) | v90(constB83, bitIndex1) | v90(constB83, bitIndex0))))),
% 13.61/8.82 inference(modus_ponens,[status(thm)],[1162, 1161])).
% 13.61/8.82 tff(1164,plain,
% 13.61/8.82 (v123(constB83) <=> (~((~v90(constB83, bitIndex2)) | v90(constB83, bitIndex1) | v90(constB83, bitIndex0)))),
% 13.61/8.82 inference(unit_resolution,[status(thm)],[1163, 621])).
% 13.61/8.82 tff(1165,plain,
% 13.61/8.82 (nextState(constB82, constB83) <=> nextState(constB82, constB83)),
% 13.61/8.82 inference(rewrite,[status(thm)],[])).
% 13.61/8.82 tff(1166,axiom,(nextState(constB82, constB83)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_82')).
% 13.61/8.82 tff(1167,plain,
% 13.61/8.82 (nextState(constB82, constB83)),
% 13.61/8.82 inference(modus_ponens,[status(thm)],[1166, 1165])).
% 13.61/8.82 tff(1168,plain,
% 13.61/8.82 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB82, constB83)) | (v100(constB83) <=> (~((~v101(constB83)) | (~v110(constB83))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB82, constB83)) | (v100(constB83) <=> (~((~v101(constB83)) | (~v110(constB83))))))),
% 13.61/8.82 inference(rewrite,[status(thm)],[])).
% 13.61/8.82 tff(1169,plain,
% 13.61/8.82 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB82, constB83)) | (v100(constB83) <=> (~((~v101(constB83)) | (~v110(constB83))))))),
% 13.61/8.82 inference(quant_inst,[status(thm)],[])).
% 13.61/8.82 tff(1170,plain,
% 13.61/8.82 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB82, constB83)) | (v100(constB83) <=> (~((~v101(constB83)) | (~v110(constB83)))))),
% 13.61/8.82 inference(modus_ponens,[status(thm)],[1169, 1168])).
% 13.61/8.82 tff(1171,plain,
% 13.61/8.82 (v100(constB83) <=> (~((~v101(constB83)) | (~v110(constB83))))),
% 13.61/8.82 inference(unit_resolution,[status(thm)],[1170, 1167, 430])).
% 13.61/8.82 tff(1172,plain,
% 13.61/8.82 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB82, constB83)) | (v101(constB83) <=> (~((~v1(constB83)) | (~v102(constB83))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB82, constB83)) | (v101(constB83) <=> (~((~v1(constB83)) | (~v102(constB83))))))),
% 13.61/8.83 inference(rewrite,[status(thm)],[])).
% 13.61/8.83 tff(1173,plain,
% 13.61/8.83 (((~nextState(constB82, constB83)) | (v101(constB83) <=> (~((~v102(constB83)) | (~v1(constB83)))))) <=> ((~nextState(constB82, constB83)) | (v101(constB83) <=> (~((~v1(constB83)) | (~v102(constB83))))))),
% 13.61/8.83 inference(rewrite,[status(thm)],[])).
% 13.61/8.83 tff(1174,plain,
% 13.61/8.83 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB82, constB83)) | (v101(constB83) <=> (~((~v102(constB83)) | (~v1(constB83))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB82, constB83)) | (v101(constB83) <=> (~((~v1(constB83)) | (~v102(constB83)))))))),
% 13.61/8.83 inference(monotonicity,[status(thm)],[1173])).
% 13.61/8.83 tff(1175,plain,
% 13.61/8.83 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB82, constB83)) | (v101(constB83) <=> (~((~v102(constB83)) | (~v1(constB83))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB82, constB83)) | (v101(constB83) <=> (~((~v1(constB83)) | (~v102(constB83))))))),
% 13.61/8.83 inference(transitivity,[status(thm)],[1174, 1172])).
% 13.61/8.83 tff(1176,plain,
% 13.61/8.83 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB82, constB83)) | (v101(constB83) <=> (~((~v102(constB83)) | (~v1(constB83))))))),
% 13.61/8.83 inference(quant_inst,[status(thm)],[])).
% 13.61/8.83 tff(1177,plain,
% 13.61/8.83 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB82, constB83)) | (v101(constB83) <=> (~((~v1(constB83)) | (~v102(constB83)))))),
% 13.61/8.83 inference(modus_ponens,[status(thm)],[1176, 1175])).
% 13.61/8.83 tff(1178,plain,
% 13.61/8.83 (v101(constB83) <=> (~((~v1(constB83)) | (~v102(constB83))))),
% 13.61/8.83 inference(unit_resolution,[status(thm)],[1177, 1167, 450])).
% 13.61/8.83 tff(1179,plain,
% 13.61/8.83 (((~v1(constB83)) | (~v102(constB83))) | v1(constB83)),
% 13.61/8.83 inference(tautology,[status(thm)],[])).
% 13.61/8.83 tff(1180,plain,
% 13.61/8.83 ((~v1(constB83)) | (~v102(constB83))),
% 13.61/8.83 inference(unit_resolution,[status(thm)],[1179, 1130])).
% 13.61/8.83 tff(1181,plain,
% 13.61/8.83 ((~(v101(constB83) <=> (~((~v1(constB83)) | (~v102(constB83)))))) | (~v101(constB83)) | (~((~v1(constB83)) | (~v102(constB83))))),
% 13.61/8.83 inference(tautology,[status(thm)],[])).
% 13.61/8.83 tff(1182,plain,
% 13.61/8.83 ((~(v101(constB83) <=> (~((~v1(constB83)) | (~v102(constB83)))))) | (~v101(constB83))),
% 13.61/8.83 inference(unit_resolution,[status(thm)],[1181, 1180])).
% 13.61/8.83 tff(1183,plain,
% 13.61/8.83 (~v101(constB83)),
% 13.61/8.83 inference(unit_resolution,[status(thm)],[1182, 1178])).
% 13.61/8.83 tff(1184,plain,
% 13.61/8.83 (((~v101(constB83)) | (~v110(constB83))) | v101(constB83)),
% 13.61/8.83 inference(tautology,[status(thm)],[])).
% 13.61/8.83 tff(1185,plain,
% 13.61/8.83 ((~v101(constB83)) | (~v110(constB83))),
% 13.61/8.83 inference(unit_resolution,[status(thm)],[1184, 1183])).
% 13.61/8.83 tff(1186,plain,
% 13.61/8.83 ((~(v100(constB83) <=> (~((~v101(constB83)) | (~v110(constB83)))))) | (~v100(constB83)) | (~((~v101(constB83)) | (~v110(constB83))))),
% 13.61/8.83 inference(tautology,[status(thm)],[])).
% 13.61/8.83 tff(1187,plain,
% 13.61/8.83 (~v100(constB83)),
% 13.61/8.83 inference(unit_resolution,[status(thm)],[1186, 1185, 1171])).
% 13.61/8.83 tff(1188,plain,
% 13.61/8.83 (((~![VarCurr: $i, VarNext: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v90(VarCurr, B))))) | (v100(constB83) | (~nextState(constB82, constB83)) | ![B: $i] : ((~less_3(B)) | (v90(constB83, B) <=> v90(constB82, B))))) <=> ((~![VarCurr: $i, VarNext: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v90(VarCurr, B))))) | v100(constB83) | (~nextState(constB82, constB83)) | ![B: $i] : ((~less_3(B)) | (v90(constB83, B) <=> v90(constB82, B))))),
% 13.61/8.83 inference(rewrite,[status(thm)],[])).
% 13.61/8.83 tff(1189,plain,
% 13.61/8.83 ((~![VarCurr: $i, VarNext: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v90(VarCurr, B))))) | (v100(constB83) | (~nextState(constB82, constB83)) | ![B: $i] : ((~less_3(B)) | (v90(constB83, B) <=> v90(constB82, B))))),
% 13.61/8.83 inference(quant_inst,[status(thm)],[])).
% 13.61/8.83 tff(1190,plain,
% 13.61/8.83 ((~![VarCurr: $i, VarNext: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v90(VarCurr, B))))) | v100(constB83) | (~nextState(constB82, constB83)) | ![B: $i] : ((~less_3(B)) | (v90(constB83, B) <=> v90(constB82, B)))),
% 13.61/8.83 inference(modus_ponens,[status(thm)],[1189, 1188])).
% 13.61/8.83 tff(1191,plain,
% 13.61/8.83 (v100(constB83) | ![B: $i] : ((~less_3(B)) | (v90(constB83, B) <=> v90(constB82, B)))),
% 13.61/8.83 inference(unit_resolution,[status(thm)],[1190, 1167, 479])).
% 13.61/8.83 tff(1192,plain,
% 13.61/8.83 (![B: $i] : ((~less_3(B)) | (v90(constB83, B) <=> v90(constB82, B)))),
% 13.61/8.83 inference(unit_resolution,[status(thm)],[1191, 1187])).
% 13.61/8.83 tff(1193,plain,
% 13.61/8.83 (((~![B: $i] : ((~less_3(B)) | (v90(constB83, B) <=> v90(constB82, B)))) | ((~less_3(bitIndex2)) | (v90(constB83, bitIndex2) <=> v90(constB82, bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v90(constB83, B) <=> v90(constB82, B)))) | (~less_3(bitIndex2)) | (v90(constB83, bitIndex2) <=> v90(constB82, bitIndex2)))),
% 13.61/8.83 inference(rewrite,[status(thm)],[])).
% 13.61/8.83 tff(1194,plain,
% 13.61/8.83 ((~![B: $i] : ((~less_3(B)) | (v90(constB83, B) <=> v90(constB82, B)))) | ((~less_3(bitIndex2)) | (v90(constB83, bitIndex2) <=> v90(constB82, bitIndex2)))),
% 13.61/8.83 inference(quant_inst,[status(thm)],[])).
% 13.61/8.83 tff(1195,plain,
% 13.61/8.83 ((~![B: $i] : ((~less_3(B)) | (v90(constB83, B) <=> v90(constB82, B)))) | (~less_3(bitIndex2)) | (v90(constB83, bitIndex2) <=> v90(constB82, bitIndex2))),
% 13.61/8.83 inference(modus_ponens,[status(thm)],[1194, 1193])).
% 13.61/8.83 tff(1196,plain,
% 13.61/8.83 (v90(constB83, bitIndex2) <=> v90(constB82, bitIndex2)),
% 13.61/8.83 inference(unit_resolution,[status(thm)],[1195, 413, 1192])).
% 13.61/8.83 tff(1197,plain,
% 13.61/8.83 (nextState(constB81, constB82) <=> nextState(constB81, constB82)),
% 13.61/8.83 inference(rewrite,[status(thm)],[])).
% 13.61/8.83 tff(1198,axiom,(nextState(constB81, constB82)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_81')).
% 13.61/8.83 tff(1199,plain,
% 13.61/8.83 (nextState(constB81, constB82)),
% 13.61/8.83 inference(modus_ponens,[status(thm)],[1198, 1197])).
% 13.61/8.83 tff(1200,plain,
% 13.61/8.83 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB81, constB82)) | (v100(constB82) <=> (~((~v101(constB82)) | (~v110(constB82))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB81, constB82)) | (v100(constB82) <=> (~((~v101(constB82)) | (~v110(constB82))))))),
% 13.61/8.83 inference(rewrite,[status(thm)],[])).
% 13.61/8.83 tff(1201,plain,
% 13.61/8.83 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB81, constB82)) | (v100(constB82) <=> (~((~v101(constB82)) | (~v110(constB82))))))),
% 13.61/8.83 inference(quant_inst,[status(thm)],[])).
% 13.61/8.83 tff(1202,plain,
% 13.61/8.83 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB81, constB82)) | (v100(constB82) <=> (~((~v101(constB82)) | (~v110(constB82)))))),
% 13.61/8.83 inference(modus_ponens,[status(thm)],[1201, 1200])).
% 13.61/8.83 tff(1203,plain,
% 13.61/8.83 (v100(constB82) <=> (~((~v101(constB82)) | (~v110(constB82))))),
% 13.61/8.83 inference(unit_resolution,[status(thm)],[1202, 1199, 430])).
% 13.61/8.83 tff(1204,plain,
% 13.61/8.83 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB81, constB82)) | (v101(constB82) <=> (~((~v1(constB82)) | (~v102(constB82))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB81, constB82)) | (v101(constB82) <=> (~((~v1(constB82)) | (~v102(constB82))))))),
% 13.61/8.83 inference(rewrite,[status(thm)],[])).
% 13.61/8.83 tff(1205,plain,
% 13.61/8.83 (((~nextState(constB81, constB82)) | (v101(constB82) <=> (~((~v102(constB82)) | (~v1(constB82)))))) <=> ((~nextState(constB81, constB82)) | (v101(constB82) <=> (~((~v1(constB82)) | (~v102(constB82))))))),
% 13.61/8.83 inference(rewrite,[status(thm)],[])).
% 13.61/8.83 tff(1206,plain,
% 13.61/8.83 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB81, constB82)) | (v101(constB82) <=> (~((~v102(constB82)) | (~v1(constB82))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB81, constB82)) | (v101(constB82) <=> (~((~v1(constB82)) | (~v102(constB82)))))))),
% 13.61/8.83 inference(monotonicity,[status(thm)],[1205])).
% 13.61/8.83 tff(1207,plain,
% 13.61/8.83 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB81, constB82)) | (v101(constB82) <=> (~((~v102(constB82)) | (~v1(constB82))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB81, constB82)) | (v101(constB82) <=> (~((~v1(constB82)) | (~v102(constB82))))))),
% 13.61/8.83 inference(transitivity,[status(thm)],[1206, 1204])).
% 13.61/8.83 tff(1208,plain,
% 13.61/8.83 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB81, constB82)) | (v101(constB82) <=> (~((~v102(constB82)) | (~v1(constB82))))))),
% 13.61/8.83 inference(quant_inst,[status(thm)],[])).
% 13.61/8.83 tff(1209,plain,
% 13.61/8.83 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB81, constB82)) | (v101(constB82) <=> (~((~v1(constB82)) | (~v102(constB82)))))),
% 13.61/8.83 inference(modus_ponens,[status(thm)],[1208, 1207])).
% 13.61/8.83 tff(1210,plain,
% 13.61/8.83 (v101(constB82) <=> (~((~v1(constB82)) | (~v102(constB82))))),
% 13.61/8.83 inference(unit_resolution,[status(thm)],[1209, 1199, 450])).
% 13.61/8.83 tff(1211,plain,
% 13.61/8.83 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | ((~nextState(constB81, constB82)) | ((~v102(constB82)) <=> v104(constB82)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | (~nextState(constB81, constB82)) | ((~v102(constB82)) <=> v104(constB82)))),
% 13.61/8.83 inference(rewrite,[status(thm)],[])).
% 13.61/8.83 tff(1212,plain,
% 13.61/8.83 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | ((~nextState(constB81, constB82)) | ((~v102(constB82)) <=> v104(constB82)))),
% 13.61/8.83 inference(quant_inst,[status(thm)],[])).
% 13.61/8.83 tff(1213,plain,
% 13.61/8.83 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | (~nextState(constB81, constB82)) | ((~v102(constB82)) <=> v104(constB82))),
% 13.61/8.83 inference(modus_ponens,[status(thm)],[1212, 1211])).
% 13.61/8.83 tff(1214,plain,
% 13.61/8.83 ((~v102(constB82)) <=> v104(constB82)),
% 13.61/8.83 inference(unit_resolution,[status(thm)],[1213, 1199, 512])).
% 13.61/8.83 tff(1215,plain,
% 13.61/8.83 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB81, constB82)) | (v104(constB82) <=> v1(constB81)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | (~nextState(constB81, constB82)) | (v104(constB82) <=> v1(constB81)))),
% 13.61/8.83 inference(rewrite,[status(thm)],[])).
% 13.61/8.83 tff(1216,plain,
% 13.61/8.83 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB81, constB82)) | (v104(constB82) <=> v1(constB81)))),
% 13.61/8.83 inference(quant_inst,[status(thm)],[])).
% 13.61/8.83 tff(1217,plain,
% 13.61/8.83 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | (~nextState(constB81, constB82)) | (v104(constB82) <=> v1(constB81))),
% 13.61/8.83 inference(modus_ponens,[status(thm)],[1216, 1215])).
% 13.61/8.83 tff(1218,plain,
% 13.61/8.83 (v104(constB82) <=> v1(constB81)),
% 13.61/8.83 inference(unit_resolution,[status(thm)],[1217, 1199, 526])).
% 13.61/8.83 tff(1219,plain,
% 13.61/8.83 ((~v1(constB81)) <=> (~v1(constB81))),
% 13.61/8.83 inference(rewrite,[status(thm)],[])).
% 13.61/8.83 tff(1220,axiom,(~v1(constB81)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_81')).
% 13.61/8.83 tff(1221,plain,
% 13.61/8.83 (~v1(constB81)),
% 13.61/8.83 inference(modus_ponens,[status(thm)],[1220, 1219])).
% 13.61/8.83 tff(1222,plain,
% 13.61/8.83 ((~(v104(constB82) <=> v1(constB81))) | (~v104(constB82)) | v1(constB81)),
% 13.61/8.83 inference(tautology,[status(thm)],[])).
% 13.61/8.83 tff(1223,plain,
% 13.61/8.83 ((~(v104(constB82) <=> v1(constB81))) | (~v104(constB82))),
% 13.61/8.83 inference(unit_resolution,[status(thm)],[1222, 1221])).
% 13.61/8.83 tff(1224,plain,
% 13.61/8.83 (~v104(constB82)),
% 13.61/8.83 inference(unit_resolution,[status(thm)],[1223, 1218])).
% 13.61/8.83 tff(1225,plain,
% 13.61/8.83 ((~((~v102(constB82)) <=> v104(constB82))) | v102(constB82) | v104(constB82)),
% 13.61/8.83 inference(tautology,[status(thm)],[])).
% 13.61/8.83 tff(1226,plain,
% 13.61/8.83 (v102(constB82)),
% 13.61/8.83 inference(unit_resolution,[status(thm)],[1225, 1224, 1214])).
% 13.61/8.83 tff(1227,plain,
% 13.61/8.83 (v1(constB82) <=> v1(constB82)),
% 13.61/8.83 inference(rewrite,[status(thm)],[])).
% 13.61/8.83 tff(1228,axiom,(v1(constB82)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_82')).
% 13.61/8.83 tff(1229,plain,
% 13.61/8.83 (v1(constB82)),
% 13.61/8.83 inference(modus_ponens,[status(thm)],[1228, 1227])).
% 13.61/8.83 tff(1230,plain,
% 13.61/8.83 ((~((~v1(constB82)) | (~v102(constB82)))) | (~v1(constB82)) | (~v102(constB82))),
% 13.61/8.83 inference(tautology,[status(thm)],[])).
% 13.61/8.83 tff(1231,plain,
% 13.61/8.83 ((~((~v1(constB82)) | (~v102(constB82)))) | (~v102(constB82))),
% 13.61/8.83 inference(unit_resolution,[status(thm)],[1230, 1229])).
% 13.61/8.83 tff(1232,plain,
% 13.61/8.83 (~((~v1(constB82)) | (~v102(constB82)))),
% 13.61/8.83 inference(unit_resolution,[status(thm)],[1231, 1226])).
% 13.61/8.83 tff(1233,plain,
% 13.61/8.83 ((~(v101(constB82) <=> (~((~v1(constB82)) | (~v102(constB82)))))) | v101(constB82) | ((~v1(constB82)) | (~v102(constB82)))),
% 13.61/8.83 inference(tautology,[status(thm)],[])).
% 13.61/8.83 tff(1234,plain,
% 13.61/8.83 (v101(constB82)),
% 13.61/8.83 inference(unit_resolution,[status(thm)],[1233, 1232, 1210])).
% 13.61/8.83 tff(1235,plain,
% 13.61/8.83 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | ((~nextState(constB81, constB82)) | (v110(constB82) <=> v108(constB81)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | (~nextState(constB81, constB82)) | (v110(constB82) <=> v108(constB81)))),
% 13.61/8.83 inference(rewrite,[status(thm)],[])).
% 13.61/8.83 tff(1236,plain,
% 13.61/8.83 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | ((~nextState(constB81, constB82)) | (v110(constB82) <=> v108(constB81)))),
% 13.61/8.83 inference(quant_inst,[status(thm)],[])).
% 13.61/8.83 tff(1237,plain,
% 13.61/8.83 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | (~nextState(constB81, constB82)) | (v110(constB82) <=> v108(constB81))),
% 13.61/8.83 inference(modus_ponens,[status(thm)],[1236, 1235])).
% 13.61/8.83 tff(1238,plain,
% 13.61/8.83 (v110(constB82) <=> v108(constB81)),
% 13.61/8.83 inference(unit_resolution,[status(thm)],[1237, 1199, 556])).
% 13.61/8.83 tff(1239,plain,
% 13.61/8.83 ((~![VarCurr: $i] : (v108(VarCurr) <=> (v111(VarCurr) | v112(VarCurr)))) | (v108(constB81) <=> (v111(constB81) | v112(constB81)))),
% 13.61/8.83 inference(quant_inst,[status(thm)],[])).
% 13.61/8.83 tff(1240,plain,
% 13.61/8.83 (v108(constB81) <=> (v111(constB81) | v112(constB81))),
% 13.61/8.83 inference(unit_resolution,[status(thm)],[1239, 567])).
% 13.61/8.83 tff(1241,plain,
% 13.61/8.83 ((~![VarCurr: $i] : (v112(VarCurr) <=> (~((~v113(VarCurr)) | (~v126(VarCurr)))))) | (v112(constB81) <=> (~((~v113(constB81)) | (~v126(constB81)))))),
% 13.61/8.83 inference(quant_inst,[status(thm)],[])).
% 13.61/8.83 tff(1242,plain,
% 13.61/8.83 (v112(constB81) <=> (~((~v113(constB81)) | (~v126(constB81))))),
% 13.61/8.83 inference(unit_resolution,[status(thm)],[1241, 579])).
% 13.61/8.83 tff(1243,plain,
% 13.61/8.83 ((~![VarCurr: $i] : (v113(VarCurr) <=> (v114(VarCurr) | v125(VarCurr)))) | (v113(constB81) <=> (v114(constB81) | v125(constB81)))),
% 13.61/8.84 inference(quant_inst,[status(thm)],[])).
% 13.61/8.84 tff(1244,plain,
% 13.61/8.84 (v113(constB81) <=> (v114(constB81) | v125(constB81))),
% 13.61/8.84 inference(unit_resolution,[status(thm)],[1243, 588])).
% 13.61/8.84 tff(1245,plain,
% 13.61/8.84 ((~![VarCurr: $i] : (v114(VarCurr) <=> (v115(VarCurr) | v124(VarCurr)))) | (v114(constB81) <=> (v115(constB81) | v124(constB81)))),
% 13.61/8.84 inference(quant_inst,[status(thm)],[])).
% 13.61/8.84 tff(1246,plain,
% 13.61/8.84 (v114(constB81) <=> (v115(constB81) | v124(constB81))),
% 13.61/8.84 inference(unit_resolution,[status(thm)],[1245, 597])).
% 13.61/8.84 tff(1247,plain,
% 13.61/8.84 ((~![VarCurr: $i] : (v115(VarCurr) <=> (v116(VarCurr) | v123(VarCurr)))) | (v115(constB81) <=> (v116(constB81) | v123(constB81)))),
% 13.61/8.84 inference(quant_inst,[status(thm)],[])).
% 13.61/8.84 tff(1248,plain,
% 13.61/8.84 (v115(constB81) <=> (v116(constB81) | v123(constB81))),
% 13.61/8.84 inference(unit_resolution,[status(thm)],[1247, 606])).
% 13.61/8.84 tff(1249,plain,
% 13.61/8.84 ((~![VarCurr: $i] : (v116(VarCurr) <=> (v117(VarCurr) | v122(VarCurr)))) | (v116(constB81) <=> (v117(constB81) | v122(constB81)))),
% 13.61/8.84 inference(quant_inst,[status(thm)],[])).
% 13.61/8.84 tff(1250,plain,
% 13.61/8.84 (v116(constB81) <=> (v117(constB81) | v122(constB81))),
% 13.61/8.84 inference(unit_resolution,[status(thm)],[1249, 719])).
% 13.61/8.84 tff(1251,plain,
% 13.61/8.84 (((~![VarCurr: $i] : (v122(VarCurr) <=> (~(v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)))))) | (v122(constB81) <=> (~(v90(constB81, bitIndex2) | (~v90(constB81, bitIndex1)) | (~v90(constB81, bitIndex0)))))) <=> ((~![VarCurr: $i] : (v122(VarCurr) <=> (~(v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)))))) | (v122(constB81) <=> (~(v90(constB81, bitIndex2) | (~v90(constB81, bitIndex1)) | (~v90(constB81, bitIndex0))))))),
% 13.61/8.84 inference(rewrite,[status(thm)],[])).
% 13.61/8.84 tff(1252,plain,
% 13.61/8.84 ((v122(constB81) <=> (~(v90(constB81, bitIndex2) | (~v90(constB81, bitIndex0)) | (~v90(constB81, bitIndex1))))) <=> (v122(constB81) <=> (~(v90(constB81, bitIndex2) | (~v90(constB81, bitIndex1)) | (~v90(constB81, bitIndex0)))))),
% 13.61/8.84 inference(rewrite,[status(thm)],[])).
% 13.61/8.84 tff(1253,plain,
% 13.61/8.84 (((~![VarCurr: $i] : (v122(VarCurr) <=> (~(v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)))))) | (v122(constB81) <=> (~(v90(constB81, bitIndex2) | (~v90(constB81, bitIndex0)) | (~v90(constB81, bitIndex1)))))) <=> ((~![VarCurr: $i] : (v122(VarCurr) <=> (~(v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)))))) | (v122(constB81) <=> (~(v90(constB81, bitIndex2) | (~v90(constB81, bitIndex1)) | (~v90(constB81, bitIndex0))))))),
% 13.61/8.84 inference(monotonicity,[status(thm)],[1252])).
% 13.61/8.84 tff(1254,plain,
% 13.61/8.84 (((~![VarCurr: $i] : (v122(VarCurr) <=> (~(v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)))))) | (v122(constB81) <=> (~(v90(constB81, bitIndex2) | (~v90(constB81, bitIndex0)) | (~v90(constB81, bitIndex1)))))) <=> ((~![VarCurr: $i] : (v122(VarCurr) <=> (~(v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)))))) | (v122(constB81) <=> (~(v90(constB81, bitIndex2) | (~v90(constB81, bitIndex1)) | (~v90(constB81, bitIndex0))))))),
% 13.61/8.84 inference(transitivity,[status(thm)],[1253, 1251])).
% 13.61/8.84 tff(1255,plain,
% 13.61/8.84 ((~![VarCurr: $i] : (v122(VarCurr) <=> (~(v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)))))) | (v122(constB81) <=> (~(v90(constB81, bitIndex2) | (~v90(constB81, bitIndex0)) | (~v90(constB81, bitIndex1)))))),
% 13.61/8.84 inference(quant_inst,[status(thm)],[])).
% 13.61/8.84 tff(1256,plain,
% 13.61/8.84 ((~![VarCurr: $i] : (v122(VarCurr) <=> (~(v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)))))) | (v122(constB81) <=> (~(v90(constB81, bitIndex2) | (~v90(constB81, bitIndex1)) | (~v90(constB81, bitIndex0)))))),
% 13.61/8.84 inference(modus_ponens,[status(thm)],[1255, 1254])).
% 13.61/8.84 tff(1257,plain,
% 13.61/8.84 (v122(constB81) <=> (~(v90(constB81, bitIndex2) | (~v90(constB81, bitIndex1)) | (~v90(constB81, bitIndex0))))),
% 13.61/8.84 inference(unit_resolution,[status(thm)],[1256, 734])).
% 13.61/8.84 tff(1258,plain,
% 13.61/8.84 (nextState(constB80, constB81) <=> nextState(constB80, constB81)),
% 13.61/8.84 inference(rewrite,[status(thm)],[])).
% 13.61/8.84 tff(1259,axiom,(nextState(constB80, constB81)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_80')).
% 13.61/8.84 tff(1260,plain,
% 13.61/8.84 (nextState(constB80, constB81)),
% 13.61/8.84 inference(modus_ponens,[status(thm)],[1259, 1258])).
% 13.61/8.84 tff(1261,plain,
% 13.61/8.84 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB80, constB81)) | (v100(constB81) <=> (~((~v101(constB81)) | (~v110(constB81))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB80, constB81)) | (v100(constB81) <=> (~((~v101(constB81)) | (~v110(constB81))))))),
% 13.61/8.84 inference(rewrite,[status(thm)],[])).
% 13.61/8.84 tff(1262,plain,
% 13.61/8.84 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB80, constB81)) | (v100(constB81) <=> (~((~v101(constB81)) | (~v110(constB81))))))),
% 13.61/8.84 inference(quant_inst,[status(thm)],[])).
% 13.61/8.84 tff(1263,plain,
% 13.61/8.84 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB80, constB81)) | (v100(constB81) <=> (~((~v101(constB81)) | (~v110(constB81)))))),
% 13.61/8.84 inference(modus_ponens,[status(thm)],[1262, 1261])).
% 13.61/8.84 tff(1264,plain,
% 13.61/8.84 (v100(constB81) <=> (~((~v101(constB81)) | (~v110(constB81))))),
% 13.61/8.84 inference(unit_resolution,[status(thm)],[1263, 1260, 430])).
% 13.61/8.84 tff(1265,plain,
% 13.61/8.84 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB80, constB81)) | (v101(constB81) <=> (~((~v1(constB81)) | (~v102(constB81))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB80, constB81)) | (v101(constB81) <=> (~((~v1(constB81)) | (~v102(constB81))))))),
% 13.61/8.84 inference(rewrite,[status(thm)],[])).
% 13.61/8.84 tff(1266,plain,
% 13.61/8.84 (((~nextState(constB80, constB81)) | (v101(constB81) <=> (~((~v102(constB81)) | (~v1(constB81)))))) <=> ((~nextState(constB80, constB81)) | (v101(constB81) <=> (~((~v1(constB81)) | (~v102(constB81))))))),
% 13.61/8.84 inference(rewrite,[status(thm)],[])).
% 13.61/8.84 tff(1267,plain,
% 13.61/8.84 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB80, constB81)) | (v101(constB81) <=> (~((~v102(constB81)) | (~v1(constB81))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB80, constB81)) | (v101(constB81) <=> (~((~v1(constB81)) | (~v102(constB81)))))))),
% 13.61/8.84 inference(monotonicity,[status(thm)],[1266])).
% 13.61/8.84 tff(1268,plain,
% 13.61/8.84 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB80, constB81)) | (v101(constB81) <=> (~((~v102(constB81)) | (~v1(constB81))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB80, constB81)) | (v101(constB81) <=> (~((~v1(constB81)) | (~v102(constB81))))))),
% 13.61/8.84 inference(transitivity,[status(thm)],[1267, 1265])).
% 13.61/8.84 tff(1269,plain,
% 13.61/8.84 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB80, constB81)) | (v101(constB81) <=> (~((~v102(constB81)) | (~v1(constB81))))))),
% 13.61/8.84 inference(quant_inst,[status(thm)],[])).
% 13.61/8.84 tff(1270,plain,
% 13.61/8.84 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB80, constB81)) | (v101(constB81) <=> (~((~v1(constB81)) | (~v102(constB81)))))),
% 13.61/8.84 inference(modus_ponens,[status(thm)],[1269, 1268])).
% 13.61/8.84 tff(1271,plain,
% 13.61/8.84 (v101(constB81) <=> (~((~v1(constB81)) | (~v102(constB81))))),
% 13.61/8.84 inference(unit_resolution,[status(thm)],[1270, 1260, 450])).
% 13.61/8.84 tff(1272,plain,
% 13.61/8.84 (((~v1(constB81)) | (~v102(constB81))) | v1(constB81)),
% 13.61/8.84 inference(tautology,[status(thm)],[])).
% 13.61/8.84 tff(1273,plain,
% 13.61/8.84 ((~v1(constB81)) | (~v102(constB81))),
% 13.61/8.84 inference(unit_resolution,[status(thm)],[1272, 1221])).
% 13.61/8.84 tff(1274,plain,
% 13.61/8.84 ((~(v101(constB81) <=> (~((~v1(constB81)) | (~v102(constB81)))))) | (~v101(constB81)) | (~((~v1(constB81)) | (~v102(constB81))))),
% 13.61/8.84 inference(tautology,[status(thm)],[])).
% 13.61/8.84 tff(1275,plain,
% 13.61/8.84 ((~(v101(constB81) <=> (~((~v1(constB81)) | (~v102(constB81)))))) | (~v101(constB81))),
% 13.61/8.84 inference(unit_resolution,[status(thm)],[1274, 1273])).
% 13.61/8.84 tff(1276,plain,
% 13.61/8.84 (~v101(constB81)),
% 13.61/8.84 inference(unit_resolution,[status(thm)],[1275, 1271])).
% 13.61/8.84 tff(1277,plain,
% 13.61/8.84 (((~v101(constB81)) | (~v110(constB81))) | v101(constB81)),
% 13.61/8.84 inference(tautology,[status(thm)],[])).
% 13.61/8.84 tff(1278,plain,
% 13.61/8.84 ((~v101(constB81)) | (~v110(constB81))),
% 13.61/8.84 inference(unit_resolution,[status(thm)],[1277, 1276])).
% 13.61/8.84 tff(1279,plain,
% 13.61/8.84 ((~(v100(constB81) <=> (~((~v101(constB81)) | (~v110(constB81)))))) | (~v100(constB81)) | (~((~v101(constB81)) | (~v110(constB81))))),
% 13.61/8.84 inference(tautology,[status(thm)],[])).
% 13.61/8.84 tff(1280,plain,
% 13.61/8.84 (~v100(constB81)),
% 13.61/8.84 inference(unit_resolution,[status(thm)],[1279, 1278, 1264])).
% 13.61/8.84 tff(1281,plain,
% 13.61/8.84 (((~![VarCurr: $i, VarNext: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v90(VarCurr, B))))) | (v100(constB81) | (~nextState(constB80, constB81)) | ![B: $i] : ((~less_3(B)) | (v90(constB81, B) <=> v90(constB80, B))))) <=> ((~![VarCurr: $i, VarNext: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v90(VarCurr, B))))) | v100(constB81) | (~nextState(constB80, constB81)) | ![B: $i] : ((~less_3(B)) | (v90(constB81, B) <=> v90(constB80, B))))),
% 13.61/8.84 inference(rewrite,[status(thm)],[])).
% 13.61/8.84 tff(1282,plain,
% 13.61/8.84 ((~![VarCurr: $i, VarNext: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v90(VarCurr, B))))) | (v100(constB81) | (~nextState(constB80, constB81)) | ![B: $i] : ((~less_3(B)) | (v90(constB81, B) <=> v90(constB80, B))))),
% 13.61/8.84 inference(quant_inst,[status(thm)],[])).
% 13.61/8.84 tff(1283,plain,
% 13.61/8.84 ((~![VarCurr: $i, VarNext: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v90(VarCurr, B))))) | v100(constB81) | (~nextState(constB80, constB81)) | ![B: $i] : ((~less_3(B)) | (v90(constB81, B) <=> v90(constB80, B)))),
% 13.61/8.84 inference(modus_ponens,[status(thm)],[1282, 1281])).
% 13.61/8.84 tff(1284,plain,
% 13.61/8.84 (v100(constB81) | ![B: $i] : ((~less_3(B)) | (v90(constB81, B) <=> v90(constB80, B)))),
% 13.61/8.84 inference(unit_resolution,[status(thm)],[1283, 1260, 479])).
% 13.61/8.84 tff(1285,plain,
% 13.61/8.84 (![B: $i] : ((~less_3(B)) | (v90(constB81, B) <=> v90(constB80, B)))),
% 13.61/8.84 inference(unit_resolution,[status(thm)],[1284, 1280])).
% 13.61/8.84 tff(1286,plain,
% 13.61/8.84 (((~![B: $i] : ((~less_3(B)) | (v90(constB81, B) <=> v90(constB80, B)))) | ((~less_3(bitIndex2)) | (v90(constB81, bitIndex2) <=> v90(constB80, bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v90(constB81, B) <=> v90(constB80, B)))) | (~less_3(bitIndex2)) | (v90(constB81, bitIndex2) <=> v90(constB80, bitIndex2)))),
% 13.61/8.84 inference(rewrite,[status(thm)],[])).
% 13.61/8.84 tff(1287,plain,
% 13.61/8.84 ((~![B: $i] : ((~less_3(B)) | (v90(constB81, B) <=> v90(constB80, B)))) | ((~less_3(bitIndex2)) | (v90(constB81, bitIndex2) <=> v90(constB80, bitIndex2)))),
% 13.61/8.84 inference(quant_inst,[status(thm)],[])).
% 13.61/8.84 tff(1288,plain,
% 13.61/8.84 ((~![B: $i] : ((~less_3(B)) | (v90(constB81, B) <=> v90(constB80, B)))) | (~less_3(bitIndex2)) | (v90(constB81, bitIndex2) <=> v90(constB80, bitIndex2))),
% 13.61/8.84 inference(modus_ponens,[status(thm)],[1287, 1286])).
% 13.61/8.84 tff(1289,plain,
% 13.61/8.84 (v90(constB81, bitIndex2) <=> v90(constB80, bitIndex2)),
% 13.61/8.84 inference(unit_resolution,[status(thm)],[1288, 413, 1285])).
% 13.61/8.84 tff(1290,plain,
% 13.61/8.84 (nextState(constB79, constB80) <=> nextState(constB79, constB80)),
% 13.61/8.84 inference(rewrite,[status(thm)],[])).
% 13.61/8.85 tff(1291,axiom,(nextState(constB79, constB80)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_79')).
% 13.61/8.85 tff(1292,plain,
% 13.61/8.85 (nextState(constB79, constB80)),
% 13.61/8.85 inference(modus_ponens,[status(thm)],[1291, 1290])).
% 13.61/8.85 tff(1293,plain,
% 13.61/8.85 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB79, constB80)) | (v100(constB80) <=> (~((~v101(constB80)) | (~v110(constB80))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB79, constB80)) | (v100(constB80) <=> (~((~v101(constB80)) | (~v110(constB80))))))),
% 13.61/8.85 inference(rewrite,[status(thm)],[])).
% 13.61/8.85 tff(1294,plain,
% 13.61/8.85 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB79, constB80)) | (v100(constB80) <=> (~((~v101(constB80)) | (~v110(constB80))))))),
% 13.61/8.85 inference(quant_inst,[status(thm)],[])).
% 13.61/8.85 tff(1295,plain,
% 13.61/8.85 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB79, constB80)) | (v100(constB80) <=> (~((~v101(constB80)) | (~v110(constB80)))))),
% 13.61/8.85 inference(modus_ponens,[status(thm)],[1294, 1293])).
% 13.61/8.85 tff(1296,plain,
% 13.61/8.85 (v100(constB80) <=> (~((~v101(constB80)) | (~v110(constB80))))),
% 13.61/8.85 inference(unit_resolution,[status(thm)],[1295, 1292, 430])).
% 13.61/8.85 tff(1297,plain,
% 13.61/8.85 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB79, constB80)) | (v101(constB80) <=> (~((~v1(constB80)) | (~v102(constB80))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB79, constB80)) | (v101(constB80) <=> (~((~v1(constB80)) | (~v102(constB80))))))),
% 13.61/8.85 inference(rewrite,[status(thm)],[])).
% 13.61/8.85 tff(1298,plain,
% 13.61/8.85 (((~nextState(constB79, constB80)) | (v101(constB80) <=> (~((~v102(constB80)) | (~v1(constB80)))))) <=> ((~nextState(constB79, constB80)) | (v101(constB80) <=> (~((~v1(constB80)) | (~v102(constB80))))))),
% 13.61/8.85 inference(rewrite,[status(thm)],[])).
% 13.61/8.85 tff(1299,plain,
% 13.61/8.85 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB79, constB80)) | (v101(constB80) <=> (~((~v102(constB80)) | (~v1(constB80))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB79, constB80)) | (v101(constB80) <=> (~((~v1(constB80)) | (~v102(constB80)))))))),
% 13.61/8.85 inference(monotonicity,[status(thm)],[1298])).
% 13.61/8.85 tff(1300,plain,
% 13.61/8.85 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB79, constB80)) | (v101(constB80) <=> (~((~v102(constB80)) | (~v1(constB80))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB79, constB80)) | (v101(constB80) <=> (~((~v1(constB80)) | (~v102(constB80))))))),
% 13.61/8.85 inference(transitivity,[status(thm)],[1299, 1297])).
% 13.61/8.85 tff(1301,plain,
% 13.61/8.85 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB79, constB80)) | (v101(constB80) <=> (~((~v102(constB80)) | (~v1(constB80))))))),
% 13.61/8.85 inference(quant_inst,[status(thm)],[])).
% 13.61/8.85 tff(1302,plain,
% 13.61/8.85 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB79, constB80)) | (v101(constB80) <=> (~((~v1(constB80)) | (~v102(constB80)))))),
% 13.61/8.85 inference(modus_ponens,[status(thm)],[1301, 1300])).
% 13.61/8.85 tff(1303,plain,
% 13.61/8.85 (v101(constB80) <=> (~((~v1(constB80)) | (~v102(constB80))))),
% 13.61/8.85 inference(unit_resolution,[status(thm)],[1302, 1292, 450])).
% 13.61/8.85 tff(1304,plain,
% 13.61/8.85 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | ((~nextState(constB79, constB80)) | ((~v102(constB80)) <=> v104(constB80)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | (~nextState(constB79, constB80)) | ((~v102(constB80)) <=> v104(constB80)))),
% 13.61/8.85 inference(rewrite,[status(thm)],[])).
% 13.61/8.85 tff(1305,plain,
% 13.61/8.85 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | ((~nextState(constB79, constB80)) | ((~v102(constB80)) <=> v104(constB80)))),
% 13.61/8.85 inference(quant_inst,[status(thm)],[])).
% 13.61/8.85 tff(1306,plain,
% 13.61/8.85 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | (~nextState(constB79, constB80)) | ((~v102(constB80)) <=> v104(constB80))),
% 13.61/8.85 inference(modus_ponens,[status(thm)],[1305, 1304])).
% 13.61/8.85 tff(1307,plain,
% 13.61/8.85 ((~v102(constB80)) <=> v104(constB80)),
% 13.61/8.85 inference(unit_resolution,[status(thm)],[1306, 1292, 512])).
% 13.61/8.85 tff(1308,plain,
% 13.61/8.85 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB79, constB80)) | (v104(constB80) <=> v1(constB79)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | (~nextState(constB79, constB80)) | (v104(constB80) <=> v1(constB79)))),
% 13.61/8.85 inference(rewrite,[status(thm)],[])).
% 13.61/8.85 tff(1309,plain,
% 13.61/8.85 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB79, constB80)) | (v104(constB80) <=> v1(constB79)))),
% 13.61/8.85 inference(quant_inst,[status(thm)],[])).
% 13.61/8.85 tff(1310,plain,
% 13.61/8.85 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | (~nextState(constB79, constB80)) | (v104(constB80) <=> v1(constB79))),
% 13.61/8.85 inference(modus_ponens,[status(thm)],[1309, 1308])).
% 13.61/8.85 tff(1311,plain,
% 13.61/8.85 (v104(constB80) <=> v1(constB79)),
% 13.61/8.85 inference(unit_resolution,[status(thm)],[1310, 1292, 526])).
% 13.61/8.85 tff(1312,plain,
% 13.61/8.85 ((~v1(constB79)) <=> (~v1(constB79))),
% 13.61/8.85 inference(rewrite,[status(thm)],[])).
% 13.61/8.85 tff(1313,axiom,(~v1(constB79)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_79')).
% 13.61/8.85 tff(1314,plain,
% 13.61/8.85 (~v1(constB79)),
% 13.61/8.85 inference(modus_ponens,[status(thm)],[1313, 1312])).
% 13.61/8.85 tff(1315,plain,
% 13.61/8.85 ((~(v104(constB80) <=> v1(constB79))) | (~v104(constB80)) | v1(constB79)),
% 13.61/8.85 inference(tautology,[status(thm)],[])).
% 13.61/8.85 tff(1316,plain,
% 13.61/8.85 ((~(v104(constB80) <=> v1(constB79))) | (~v104(constB80))),
% 13.61/8.85 inference(unit_resolution,[status(thm)],[1315, 1314])).
% 13.61/8.85 tff(1317,plain,
% 13.61/8.85 (~v104(constB80)),
% 13.61/8.85 inference(unit_resolution,[status(thm)],[1316, 1311])).
% 13.61/8.85 tff(1318,plain,
% 13.61/8.85 ((~((~v102(constB80)) <=> v104(constB80))) | v102(constB80) | v104(constB80)),
% 13.61/8.85 inference(tautology,[status(thm)],[])).
% 13.61/8.85 tff(1319,plain,
% 13.61/8.85 (v102(constB80)),
% 13.61/8.85 inference(unit_resolution,[status(thm)],[1318, 1317, 1307])).
% 13.61/8.85 tff(1320,plain,
% 13.61/8.85 (v1(constB80) <=> v1(constB80)),
% 13.61/8.85 inference(rewrite,[status(thm)],[])).
% 13.61/8.85 tff(1321,axiom,(v1(constB80)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_80')).
% 13.61/8.85 tff(1322,plain,
% 13.61/8.85 (v1(constB80)),
% 13.61/8.85 inference(modus_ponens,[status(thm)],[1321, 1320])).
% 13.61/8.85 tff(1323,plain,
% 13.61/8.85 ((~((~v1(constB80)) | (~v102(constB80)))) | (~v1(constB80)) | (~v102(constB80))),
% 13.61/8.85 inference(tautology,[status(thm)],[])).
% 13.61/8.85 tff(1324,plain,
% 13.61/8.85 ((~((~v1(constB80)) | (~v102(constB80)))) | (~v102(constB80))),
% 13.61/8.85 inference(unit_resolution,[status(thm)],[1323, 1322])).
% 13.61/8.85 tff(1325,plain,
% 13.61/8.85 (~((~v1(constB80)) | (~v102(constB80)))),
% 13.61/8.85 inference(unit_resolution,[status(thm)],[1324, 1319])).
% 13.61/8.85 tff(1326,plain,
% 13.61/8.85 ((~(v101(constB80) <=> (~((~v1(constB80)) | (~v102(constB80)))))) | v101(constB80) | ((~v1(constB80)) | (~v102(constB80)))),
% 13.61/8.85 inference(tautology,[status(thm)],[])).
% 13.61/8.85 tff(1327,plain,
% 13.61/8.85 (v101(constB80)),
% 13.61/8.85 inference(unit_resolution,[status(thm)],[1326, 1325, 1303])).
% 13.61/8.85 tff(1328,plain,
% 13.61/8.85 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | ((~nextState(constB79, constB80)) | (v110(constB80) <=> v108(constB79)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | (~nextState(constB79, constB80)) | (v110(constB80) <=> v108(constB79)))),
% 13.61/8.85 inference(rewrite,[status(thm)],[])).
% 13.61/8.85 tff(1329,plain,
% 13.61/8.85 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | ((~nextState(constB79, constB80)) | (v110(constB80) <=> v108(constB79)))),
% 13.61/8.85 inference(quant_inst,[status(thm)],[])).
% 13.61/8.85 tff(1330,plain,
% 13.61/8.85 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | (~nextState(constB79, constB80)) | (v110(constB80) <=> v108(constB79))),
% 13.61/8.85 inference(modus_ponens,[status(thm)],[1329, 1328])).
% 13.61/8.85 tff(1331,plain,
% 13.61/8.85 (v110(constB80) <=> v108(constB79)),
% 13.61/8.85 inference(unit_resolution,[status(thm)],[1330, 1292, 556])).
% 13.61/8.85 tff(1332,plain,
% 13.61/8.85 ((~![VarCurr: $i] : (v108(VarCurr) <=> (v111(VarCurr) | v112(VarCurr)))) | (v108(constB79) <=> (v111(constB79) | v112(constB79)))),
% 13.61/8.85 inference(quant_inst,[status(thm)],[])).
% 13.61/8.85 tff(1333,plain,
% 13.61/8.85 (v108(constB79) <=> (v111(constB79) | v112(constB79))),
% 13.61/8.85 inference(unit_resolution,[status(thm)],[1332, 567])).
% 13.61/8.85 tff(1334,plain,
% 13.61/8.85 ((~![VarCurr: $i] : (v112(VarCurr) <=> (~((~v113(VarCurr)) | (~v126(VarCurr)))))) | (v112(constB79) <=> (~((~v113(constB79)) | (~v126(constB79)))))),
% 13.61/8.85 inference(quant_inst,[status(thm)],[])).
% 13.61/8.85 tff(1335,plain,
% 13.61/8.85 (v112(constB79) <=> (~((~v113(constB79)) | (~v126(constB79))))),
% 13.61/8.85 inference(unit_resolution,[status(thm)],[1334, 579])).
% 13.61/8.85 tff(1336,plain,
% 13.61/8.85 ((~![VarCurr: $i] : (v113(VarCurr) <=> (v114(VarCurr) | v125(VarCurr)))) | (v113(constB79) <=> (v114(constB79) | v125(constB79)))),
% 13.61/8.85 inference(quant_inst,[status(thm)],[])).
% 13.61/8.85 tff(1337,plain,
% 13.61/8.85 (v113(constB79) <=> (v114(constB79) | v125(constB79))),
% 13.61/8.85 inference(unit_resolution,[status(thm)],[1336, 588])).
% 13.61/8.85 tff(1338,plain,
% 13.61/8.85 ((~![VarCurr: $i] : (v114(VarCurr) <=> (v115(VarCurr) | v124(VarCurr)))) | (v114(constB79) <=> (v115(constB79) | v124(constB79)))),
% 13.61/8.85 inference(quant_inst,[status(thm)],[])).
% 13.61/8.85 tff(1339,plain,
% 13.61/8.85 (v114(constB79) <=> (v115(constB79) | v124(constB79))),
% 13.61/8.85 inference(unit_resolution,[status(thm)],[1338, 597])).
% 13.61/8.85 tff(1340,plain,
% 13.61/8.85 ((~![VarCurr: $i] : (v115(VarCurr) <=> (v116(VarCurr) | v123(VarCurr)))) | (v115(constB79) <=> (v116(constB79) | v123(constB79)))),
% 13.61/8.85 inference(quant_inst,[status(thm)],[])).
% 13.61/8.85 tff(1341,plain,
% 13.61/8.85 (v115(constB79) <=> (v116(constB79) | v123(constB79))),
% 13.61/8.85 inference(unit_resolution,[status(thm)],[1340, 606])).
% 13.61/8.85 tff(1342,plain,
% 13.61/8.85 ((~![VarCurr: $i] : (v116(VarCurr) <=> (v117(VarCurr) | v122(VarCurr)))) | (v116(constB79) <=> (v117(constB79) | v122(constB79)))),
% 13.61/8.85 inference(quant_inst,[status(thm)],[])).
% 13.61/8.85 tff(1343,plain,
% 13.61/8.85 (v116(constB79) <=> (v117(constB79) | v122(constB79))),
% 13.61/8.85 inference(unit_resolution,[status(thm)],[1342, 719])).
% 13.61/8.85 tff(1344,plain,
% 13.61/8.85 ((~![VarCurr: $i] : (v117(VarCurr) <=> (v118(VarCurr) | v121(VarCurr)))) | (v117(constB79) <=> (v118(constB79) | v121(constB79)))),
% 13.61/8.85 inference(quant_inst,[status(thm)],[])).
% 13.61/8.85 tff(1345,plain,
% 13.61/8.85 (v117(constB79) <=> (v118(constB79) | v121(constB79))),
% 13.61/8.85 inference(unit_resolution,[status(thm)],[1344, 834])).
% 13.61/8.85 tff(1346,plain,
% 13.61/8.85 (((~![VarCurr: $i] : (v121(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex1)))))) | (v121(constB79) <=> (~(v90(constB79, bitIndex2) | (~v90(constB79, bitIndex1)) | v90(constB79, bitIndex0))))) <=> ((~![VarCurr: $i] : (v121(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex1)))))) | (v121(constB79) <=> (~(v90(constB79, bitIndex2) | (~v90(constB79, bitIndex1)) | v90(constB79, bitIndex0)))))),
% 13.61/8.85 inference(rewrite,[status(thm)],[])).
% 13.61/8.85 tff(1347,plain,
% 13.61/8.85 ((v121(constB79) <=> (~(v90(constB79, bitIndex0) | v90(constB79, bitIndex2) | (~v90(constB79, bitIndex1))))) <=> (v121(constB79) <=> (~(v90(constB79, bitIndex2) | (~v90(constB79, bitIndex1)) | v90(constB79, bitIndex0))))),
% 13.61/8.85 inference(rewrite,[status(thm)],[])).
% 13.61/8.85 tff(1348,plain,
% 13.61/8.85 (((~![VarCurr: $i] : (v121(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex1)))))) | (v121(constB79) <=> (~(v90(constB79, bitIndex0) | v90(constB79, bitIndex2) | (~v90(constB79, bitIndex1)))))) <=> ((~![VarCurr: $i] : (v121(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex1)))))) | (v121(constB79) <=> (~(v90(constB79, bitIndex2) | (~v90(constB79, bitIndex1)) | v90(constB79, bitIndex0)))))),
% 13.61/8.85 inference(monotonicity,[status(thm)],[1347])).
% 13.61/8.85 tff(1349,plain,
% 13.61/8.85 (((~![VarCurr: $i] : (v121(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex1)))))) | (v121(constB79) <=> (~(v90(constB79, bitIndex0) | v90(constB79, bitIndex2) | (~v90(constB79, bitIndex1)))))) <=> ((~![VarCurr: $i] : (v121(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex1)))))) | (v121(constB79) <=> (~(v90(constB79, bitIndex2) | (~v90(constB79, bitIndex1)) | v90(constB79, bitIndex0)))))),
% 13.61/8.85 inference(transitivity,[status(thm)],[1348, 1346])).
% 13.61/8.85 tff(1350,plain,
% 13.61/8.85 ((~![VarCurr: $i] : (v121(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex1)))))) | (v121(constB79) <=> (~(v90(constB79, bitIndex0) | v90(constB79, bitIndex2) | (~v90(constB79, bitIndex1)))))),
% 13.61/8.85 inference(quant_inst,[status(thm)],[])).
% 13.61/8.85 tff(1351,plain,
% 13.61/8.85 ((~![VarCurr: $i] : (v121(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex1)))))) | (v121(constB79) <=> (~(v90(constB79, bitIndex2) | (~v90(constB79, bitIndex1)) | v90(constB79, bitIndex0))))),
% 13.61/8.85 inference(modus_ponens,[status(thm)],[1350, 1349])).
% 13.61/8.85 tff(1352,plain,
% 13.61/8.85 (v121(constB79) <=> (~(v90(constB79, bitIndex2) | (~v90(constB79, bitIndex1)) | v90(constB79, bitIndex0)))),
% 13.61/8.85 inference(unit_resolution,[status(thm)],[1351, 849])).
% 13.61/8.85 tff(1353,plain,
% 13.61/8.85 (nextState(constB78, constB79) <=> nextState(constB78, constB79)),
% 13.61/8.85 inference(rewrite,[status(thm)],[])).
% 13.61/8.85 tff(1354,axiom,(nextState(constB78, constB79)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_78')).
% 13.61/8.85 tff(1355,plain,
% 13.61/8.85 (nextState(constB78, constB79)),
% 13.61/8.85 inference(modus_ponens,[status(thm)],[1354, 1353])).
% 13.61/8.85 tff(1356,plain,
% 13.61/8.85 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB78, constB79)) | (v100(constB79) <=> (~((~v101(constB79)) | (~v110(constB79))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB78, constB79)) | (v100(constB79) <=> (~((~v101(constB79)) | (~v110(constB79))))))),
% 13.61/8.85 inference(rewrite,[status(thm)],[])).
% 13.61/8.85 tff(1357,plain,
% 13.61/8.85 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB78, constB79)) | (v100(constB79) <=> (~((~v101(constB79)) | (~v110(constB79))))))),
% 13.61/8.85 inference(quant_inst,[status(thm)],[])).
% 13.61/8.85 tff(1358,plain,
% 13.61/8.85 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB78, constB79)) | (v100(constB79) <=> (~((~v101(constB79)) | (~v110(constB79)))))),
% 13.61/8.85 inference(modus_ponens,[status(thm)],[1357, 1356])).
% 13.61/8.85 tff(1359,plain,
% 13.61/8.85 (v100(constB79) <=> (~((~v101(constB79)) | (~v110(constB79))))),
% 13.61/8.85 inference(unit_resolution,[status(thm)],[1358, 1355, 430])).
% 13.61/8.85 tff(1360,plain,
% 13.61/8.85 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB78, constB79)) | (v101(constB79) <=> (~((~v1(constB79)) | (~v102(constB79))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB78, constB79)) | (v101(constB79) <=> (~((~v1(constB79)) | (~v102(constB79))))))),
% 13.61/8.86 inference(rewrite,[status(thm)],[])).
% 13.61/8.86 tff(1361,plain,
% 13.61/8.86 (((~nextState(constB78, constB79)) | (v101(constB79) <=> (~((~v102(constB79)) | (~v1(constB79)))))) <=> ((~nextState(constB78, constB79)) | (v101(constB79) <=> (~((~v1(constB79)) | (~v102(constB79))))))),
% 13.61/8.86 inference(rewrite,[status(thm)],[])).
% 13.61/8.86 tff(1362,plain,
% 13.61/8.86 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB78, constB79)) | (v101(constB79) <=> (~((~v102(constB79)) | (~v1(constB79))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB78, constB79)) | (v101(constB79) <=> (~((~v1(constB79)) | (~v102(constB79)))))))),
% 13.61/8.86 inference(monotonicity,[status(thm)],[1361])).
% 13.61/8.86 tff(1363,plain,
% 13.61/8.86 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB78, constB79)) | (v101(constB79) <=> (~((~v102(constB79)) | (~v1(constB79))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB78, constB79)) | (v101(constB79) <=> (~((~v1(constB79)) | (~v102(constB79))))))),
% 13.61/8.86 inference(transitivity,[status(thm)],[1362, 1360])).
% 13.61/8.86 tff(1364,plain,
% 13.61/8.86 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB78, constB79)) | (v101(constB79) <=> (~((~v102(constB79)) | (~v1(constB79))))))),
% 13.61/8.86 inference(quant_inst,[status(thm)],[])).
% 13.61/8.86 tff(1365,plain,
% 13.61/8.86 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB78, constB79)) | (v101(constB79) <=> (~((~v1(constB79)) | (~v102(constB79)))))),
% 13.61/8.86 inference(modus_ponens,[status(thm)],[1364, 1363])).
% 13.61/8.86 tff(1366,plain,
% 13.61/8.86 (v101(constB79) <=> (~((~v1(constB79)) | (~v102(constB79))))),
% 13.61/8.86 inference(unit_resolution,[status(thm)],[1365, 1355, 450])).
% 13.61/8.86 tff(1367,plain,
% 13.61/8.86 (((~v1(constB79)) | (~v102(constB79))) | v1(constB79)),
% 13.61/8.86 inference(tautology,[status(thm)],[])).
% 13.61/8.86 tff(1368,plain,
% 13.61/8.86 ((~v1(constB79)) | (~v102(constB79))),
% 13.61/8.86 inference(unit_resolution,[status(thm)],[1367, 1314])).
% 13.61/8.86 tff(1369,plain,
% 13.61/8.86 ((~(v101(constB79) <=> (~((~v1(constB79)) | (~v102(constB79)))))) | (~v101(constB79)) | (~((~v1(constB79)) | (~v102(constB79))))),
% 13.61/8.86 inference(tautology,[status(thm)],[])).
% 13.61/8.86 tff(1370,plain,
% 13.61/8.86 ((~(v101(constB79) <=> (~((~v1(constB79)) | (~v102(constB79)))))) | (~v101(constB79))),
% 13.61/8.86 inference(unit_resolution,[status(thm)],[1369, 1368])).
% 13.61/8.86 tff(1371,plain,
% 13.61/8.86 (~v101(constB79)),
% 13.61/8.86 inference(unit_resolution,[status(thm)],[1370, 1366])).
% 13.61/8.86 tff(1372,plain,
% 13.61/8.86 (((~v101(constB79)) | (~v110(constB79))) | v101(constB79)),
% 13.61/8.86 inference(tautology,[status(thm)],[])).
% 13.61/8.86 tff(1373,plain,
% 13.61/8.86 ((~v101(constB79)) | (~v110(constB79))),
% 13.61/8.86 inference(unit_resolution,[status(thm)],[1372, 1371])).
% 13.61/8.86 tff(1374,plain,
% 13.61/8.86 ((~(v100(constB79) <=> (~((~v101(constB79)) | (~v110(constB79)))))) | (~v100(constB79)) | (~((~v101(constB79)) | (~v110(constB79))))),
% 13.61/8.86 inference(tautology,[status(thm)],[])).
% 13.61/8.86 tff(1375,plain,
% 13.61/8.86 (~v100(constB79)),
% 13.61/8.86 inference(unit_resolution,[status(thm)],[1374, 1373, 1359])).
% 13.61/8.86 tff(1376,plain,
% 13.61/8.86 (((~![VarCurr: $i, VarNext: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v90(VarCurr, B))))) | (v100(constB79) | (~nextState(constB78, constB79)) | ![B: $i] : ((~less_3(B)) | (v90(constB79, B) <=> v90(constB78, B))))) <=> ((~![VarCurr: $i, VarNext: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v90(VarCurr, B))))) | v100(constB79) | (~nextState(constB78, constB79)) | ![B: $i] : ((~less_3(B)) | (v90(constB79, B) <=> v90(constB78, B))))),
% 13.61/8.86 inference(rewrite,[status(thm)],[])).
% 13.61/8.86 tff(1377,plain,
% 13.61/8.86 ((~![VarCurr: $i, VarNext: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v90(VarCurr, B))))) | (v100(constB79) | (~nextState(constB78, constB79)) | ![B: $i] : ((~less_3(B)) | (v90(constB79, B) <=> v90(constB78, B))))),
% 13.61/8.86 inference(quant_inst,[status(thm)],[])).
% 13.61/8.86 tff(1378,plain,
% 13.61/8.86 ((~![VarCurr: $i, VarNext: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v90(VarCurr, B))))) | v100(constB79) | (~nextState(constB78, constB79)) | ![B: $i] : ((~less_3(B)) | (v90(constB79, B) <=> v90(constB78, B)))),
% 13.61/8.86 inference(modus_ponens,[status(thm)],[1377, 1376])).
% 13.61/8.86 tff(1379,plain,
% 13.61/8.86 (v100(constB79) | ![B: $i] : ((~less_3(B)) | (v90(constB79, B) <=> v90(constB78, B)))),
% 13.61/8.86 inference(unit_resolution,[status(thm)],[1378, 1355, 479])).
% 13.61/8.86 tff(1380,plain,
% 13.61/8.86 (![B: $i] : ((~less_3(B)) | (v90(constB79, B) <=> v90(constB78, B)))),
% 13.61/8.86 inference(unit_resolution,[status(thm)],[1379, 1375])).
% 13.61/8.86 tff(1381,plain,
% 13.61/8.86 (((~![B: $i] : ((~less_3(B)) | (v90(constB79, B) <=> v90(constB78, B)))) | ((~less_3(bitIndex2)) | (v90(constB79, bitIndex2) <=> v90(constB78, bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v90(constB79, B) <=> v90(constB78, B)))) | (~less_3(bitIndex2)) | (v90(constB79, bitIndex2) <=> v90(constB78, bitIndex2)))),
% 13.61/8.86 inference(rewrite,[status(thm)],[])).
% 13.61/8.86 tff(1382,plain,
% 13.61/8.86 ((~![B: $i] : ((~less_3(B)) | (v90(constB79, B) <=> v90(constB78, B)))) | ((~less_3(bitIndex2)) | (v90(constB79, bitIndex2) <=> v90(constB78, bitIndex2)))),
% 13.61/8.86 inference(quant_inst,[status(thm)],[])).
% 13.61/8.86 tff(1383,plain,
% 13.61/8.86 ((~![B: $i] : ((~less_3(B)) | (v90(constB79, B) <=> v90(constB78, B)))) | (~less_3(bitIndex2)) | (v90(constB79, bitIndex2) <=> v90(constB78, bitIndex2))),
% 13.61/8.86 inference(modus_ponens,[status(thm)],[1382, 1381])).
% 13.61/8.86 tff(1384,plain,
% 13.61/8.86 (v90(constB79, bitIndex2) <=> v90(constB78, bitIndex2)),
% 13.61/8.86 inference(unit_resolution,[status(thm)],[1383, 413, 1380])).
% 13.61/8.86 tff(1385,plain,
% 13.61/8.86 (nextState(constB77, constB78) <=> nextState(constB77, constB78)),
% 13.61/8.86 inference(rewrite,[status(thm)],[])).
% 13.61/8.86 tff(1386,axiom,(nextState(constB77, constB78)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_77')).
% 13.61/8.86 tff(1387,plain,
% 13.61/8.86 (nextState(constB77, constB78)),
% 13.61/8.86 inference(modus_ponens,[status(thm)],[1386, 1385])).
% 13.61/8.86 tff(1388,plain,
% 13.61/8.86 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB77, constB78)) | (v100(constB78) <=> (~((~v101(constB78)) | (~v110(constB78))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB77, constB78)) | (v100(constB78) <=> (~((~v101(constB78)) | (~v110(constB78))))))),
% 13.61/8.86 inference(rewrite,[status(thm)],[])).
% 13.61/8.86 tff(1389,plain,
% 13.61/8.86 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB77, constB78)) | (v100(constB78) <=> (~((~v101(constB78)) | (~v110(constB78))))))),
% 13.61/8.86 inference(quant_inst,[status(thm)],[])).
% 13.61/8.86 tff(1390,plain,
% 13.61/8.86 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB77, constB78)) | (v100(constB78) <=> (~((~v101(constB78)) | (~v110(constB78)))))),
% 13.61/8.86 inference(modus_ponens,[status(thm)],[1389, 1388])).
% 13.61/8.86 tff(1391,plain,
% 13.61/8.86 (v100(constB78) <=> (~((~v101(constB78)) | (~v110(constB78))))),
% 13.61/8.86 inference(unit_resolution,[status(thm)],[1390, 1387, 430])).
% 13.61/8.86 tff(1392,plain,
% 13.61/8.86 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB77, constB78)) | (v101(constB78) <=> (~((~v1(constB78)) | (~v102(constB78))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB77, constB78)) | (v101(constB78) <=> (~((~v1(constB78)) | (~v102(constB78))))))),
% 13.61/8.86 inference(rewrite,[status(thm)],[])).
% 13.61/8.86 tff(1393,plain,
% 13.61/8.86 (((~nextState(constB77, constB78)) | (v101(constB78) <=> (~((~v102(constB78)) | (~v1(constB78)))))) <=> ((~nextState(constB77, constB78)) | (v101(constB78) <=> (~((~v1(constB78)) | (~v102(constB78))))))),
% 13.61/8.86 inference(rewrite,[status(thm)],[])).
% 13.61/8.86 tff(1394,plain,
% 13.61/8.86 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB77, constB78)) | (v101(constB78) <=> (~((~v102(constB78)) | (~v1(constB78))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB77, constB78)) | (v101(constB78) <=> (~((~v1(constB78)) | (~v102(constB78)))))))),
% 13.61/8.86 inference(monotonicity,[status(thm)],[1393])).
% 13.61/8.86 tff(1395,plain,
% 13.61/8.86 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB77, constB78)) | (v101(constB78) <=> (~((~v102(constB78)) | (~v1(constB78))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB77, constB78)) | (v101(constB78) <=> (~((~v1(constB78)) | (~v102(constB78))))))),
% 13.61/8.86 inference(transitivity,[status(thm)],[1394, 1392])).
% 13.61/8.86 tff(1396,plain,
% 13.61/8.86 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB77, constB78)) | (v101(constB78) <=> (~((~v102(constB78)) | (~v1(constB78))))))),
% 13.61/8.86 inference(quant_inst,[status(thm)],[])).
% 13.61/8.86 tff(1397,plain,
% 13.61/8.86 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB77, constB78)) | (v101(constB78) <=> (~((~v1(constB78)) | (~v102(constB78)))))),
% 13.61/8.86 inference(modus_ponens,[status(thm)],[1396, 1395])).
% 13.61/8.86 tff(1398,plain,
% 13.61/8.86 (v101(constB78) <=> (~((~v1(constB78)) | (~v102(constB78))))),
% 13.61/8.86 inference(unit_resolution,[status(thm)],[1397, 1387, 450])).
% 13.61/8.86 tff(1399,plain,
% 13.61/8.86 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | ((~nextState(constB77, constB78)) | ((~v102(constB78)) <=> v104(constB78)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | (~nextState(constB77, constB78)) | ((~v102(constB78)) <=> v104(constB78)))),
% 13.61/8.86 inference(rewrite,[status(thm)],[])).
% 13.61/8.86 tff(1400,plain,
% 13.61/8.86 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | ((~nextState(constB77, constB78)) | ((~v102(constB78)) <=> v104(constB78)))),
% 13.61/8.86 inference(quant_inst,[status(thm)],[])).
% 13.61/8.86 tff(1401,plain,
% 13.61/8.86 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | (~nextState(constB77, constB78)) | ((~v102(constB78)) <=> v104(constB78))),
% 13.61/8.86 inference(modus_ponens,[status(thm)],[1400, 1399])).
% 13.61/8.86 tff(1402,plain,
% 13.61/8.86 ((~v102(constB78)) <=> v104(constB78)),
% 13.61/8.86 inference(unit_resolution,[status(thm)],[1401, 1387, 512])).
% 13.61/8.86 tff(1403,plain,
% 13.61/8.86 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB77, constB78)) | (v104(constB78) <=> v1(constB77)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | (~nextState(constB77, constB78)) | (v104(constB78) <=> v1(constB77)))),
% 13.61/8.86 inference(rewrite,[status(thm)],[])).
% 13.61/8.86 tff(1404,plain,
% 13.61/8.86 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB77, constB78)) | (v104(constB78) <=> v1(constB77)))),
% 13.61/8.86 inference(quant_inst,[status(thm)],[])).
% 13.61/8.86 tff(1405,plain,
% 13.61/8.86 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | (~nextState(constB77, constB78)) | (v104(constB78) <=> v1(constB77))),
% 13.61/8.86 inference(modus_ponens,[status(thm)],[1404, 1403])).
% 13.61/8.86 tff(1406,plain,
% 13.61/8.86 (v104(constB78) <=> v1(constB77)),
% 13.61/8.86 inference(unit_resolution,[status(thm)],[1405, 1387, 526])).
% 13.61/8.86 tff(1407,plain,
% 13.61/8.86 ((~v1(constB77)) <=> (~v1(constB77))),
% 13.61/8.86 inference(rewrite,[status(thm)],[])).
% 13.61/8.86 tff(1408,axiom,(~v1(constB77)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_77')).
% 13.61/8.86 tff(1409,plain,
% 13.61/8.86 (~v1(constB77)),
% 13.61/8.86 inference(modus_ponens,[status(thm)],[1408, 1407])).
% 13.61/8.86 tff(1410,plain,
% 13.61/8.86 ((~(v104(constB78) <=> v1(constB77))) | (~v104(constB78)) | v1(constB77)),
% 13.61/8.86 inference(tautology,[status(thm)],[])).
% 13.61/8.86 tff(1411,plain,
% 13.61/8.86 ((~(v104(constB78) <=> v1(constB77))) | (~v104(constB78))),
% 13.61/8.86 inference(unit_resolution,[status(thm)],[1410, 1409])).
% 13.61/8.86 tff(1412,plain,
% 13.61/8.86 (~v104(constB78)),
% 13.61/8.86 inference(unit_resolution,[status(thm)],[1411, 1406])).
% 13.61/8.86 tff(1413,plain,
% 13.61/8.86 ((~((~v102(constB78)) <=> v104(constB78))) | v102(constB78) | v104(constB78)),
% 13.61/8.86 inference(tautology,[status(thm)],[])).
% 13.61/8.86 tff(1414,plain,
% 13.61/8.86 (v102(constB78)),
% 13.61/8.86 inference(unit_resolution,[status(thm)],[1413, 1412, 1402])).
% 13.61/8.86 tff(1415,plain,
% 13.61/8.86 (v1(constB78) <=> v1(constB78)),
% 13.61/8.86 inference(rewrite,[status(thm)],[])).
% 13.61/8.86 tff(1416,axiom,(v1(constB78)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_78')).
% 13.61/8.86 tff(1417,plain,
% 13.61/8.86 (v1(constB78)),
% 13.61/8.86 inference(modus_ponens,[status(thm)],[1416, 1415])).
% 13.61/8.86 tff(1418,plain,
% 13.61/8.86 ((~((~v1(constB78)) | (~v102(constB78)))) | (~v1(constB78)) | (~v102(constB78))),
% 13.61/8.86 inference(tautology,[status(thm)],[])).
% 13.61/8.86 tff(1419,plain,
% 13.61/8.86 ((~((~v1(constB78)) | (~v102(constB78)))) | (~v102(constB78))),
% 13.61/8.86 inference(unit_resolution,[status(thm)],[1418, 1417])).
% 13.61/8.86 tff(1420,plain,
% 13.61/8.86 (~((~v1(constB78)) | (~v102(constB78)))),
% 13.61/8.86 inference(unit_resolution,[status(thm)],[1419, 1414])).
% 13.61/8.86 tff(1421,plain,
% 13.61/8.86 ((~(v101(constB78) <=> (~((~v1(constB78)) | (~v102(constB78)))))) | v101(constB78) | ((~v1(constB78)) | (~v102(constB78)))),
% 13.61/8.86 inference(tautology,[status(thm)],[])).
% 13.61/8.86 tff(1422,plain,
% 13.61/8.86 (v101(constB78)),
% 13.61/8.86 inference(unit_resolution,[status(thm)],[1421, 1420, 1398])).
% 13.61/8.86 tff(1423,plain,
% 13.61/8.86 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | ((~nextState(constB77, constB78)) | (v110(constB78) <=> v108(constB77)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | (~nextState(constB77, constB78)) | (v110(constB78) <=> v108(constB77)))),
% 13.61/8.86 inference(rewrite,[status(thm)],[])).
% 13.61/8.86 tff(1424,plain,
% 13.61/8.86 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | ((~nextState(constB77, constB78)) | (v110(constB78) <=> v108(constB77)))),
% 13.61/8.86 inference(quant_inst,[status(thm)],[])).
% 13.61/8.86 tff(1425,plain,
% 13.61/8.86 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | (~nextState(constB77, constB78)) | (v110(constB78) <=> v108(constB77))),
% 13.61/8.86 inference(modus_ponens,[status(thm)],[1424, 1423])).
% 13.61/8.86 tff(1426,plain,
% 13.61/8.86 (v110(constB78) <=> v108(constB77)),
% 13.61/8.86 inference(unit_resolution,[status(thm)],[1425, 1387, 556])).
% 13.61/8.86 tff(1427,plain,
% 13.61/8.86 ((~![VarCurr: $i] : (v108(VarCurr) <=> (v111(VarCurr) | v112(VarCurr)))) | (v108(constB77) <=> (v111(constB77) | v112(constB77)))),
% 13.61/8.86 inference(quant_inst,[status(thm)],[])).
% 13.61/8.86 tff(1428,plain,
% 13.61/8.86 (v108(constB77) <=> (v111(constB77) | v112(constB77))),
% 13.61/8.86 inference(unit_resolution,[status(thm)],[1427, 567])).
% 13.61/8.86 tff(1429,plain,
% 13.61/8.86 ((~![VarCurr: $i] : (v112(VarCurr) <=> (~((~v113(VarCurr)) | (~v126(VarCurr)))))) | (v112(constB77) <=> (~((~v113(constB77)) | (~v126(constB77)))))),
% 13.61/8.86 inference(quant_inst,[status(thm)],[])).
% 13.61/8.86 tff(1430,plain,
% 13.61/8.86 (v112(constB77) <=> (~((~v113(constB77)) | (~v126(constB77))))),
% 13.61/8.86 inference(unit_resolution,[status(thm)],[1429, 579])).
% 13.61/8.86 tff(1431,plain,
% 13.61/8.86 ((~![VarCurr: $i] : (v113(VarCurr) <=> (v114(VarCurr) | v125(VarCurr)))) | (v113(constB77) <=> (v114(constB77) | v125(constB77)))),
% 13.61/8.86 inference(quant_inst,[status(thm)],[])).
% 13.61/8.86 tff(1432,plain,
% 13.61/8.86 (v113(constB77) <=> (v114(constB77) | v125(constB77))),
% 13.61/8.87 inference(unit_resolution,[status(thm)],[1431, 588])).
% 13.61/8.87 tff(1433,plain,
% 13.61/8.87 ((~![VarCurr: $i] : (v114(VarCurr) <=> (v115(VarCurr) | v124(VarCurr)))) | (v114(constB77) <=> (v115(constB77) | v124(constB77)))),
% 13.61/8.87 inference(quant_inst,[status(thm)],[])).
% 13.61/8.87 tff(1434,plain,
% 13.61/8.87 (v114(constB77) <=> (v115(constB77) | v124(constB77))),
% 13.61/8.87 inference(unit_resolution,[status(thm)],[1433, 597])).
% 13.61/8.87 tff(1435,plain,
% 13.61/8.87 ((~![VarCurr: $i] : (v115(VarCurr) <=> (v116(VarCurr) | v123(VarCurr)))) | (v115(constB77) <=> (v116(constB77) | v123(constB77)))),
% 13.61/8.87 inference(quant_inst,[status(thm)],[])).
% 13.61/8.87 tff(1436,plain,
% 13.61/8.87 (v115(constB77) <=> (v116(constB77) | v123(constB77))),
% 13.61/8.87 inference(unit_resolution,[status(thm)],[1435, 606])).
% 13.61/8.87 tff(1437,plain,
% 13.61/8.87 ((~![VarCurr: $i] : (v116(VarCurr) <=> (v117(VarCurr) | v122(VarCurr)))) | (v116(constB77) <=> (v117(constB77) | v122(constB77)))),
% 13.61/8.87 inference(quant_inst,[status(thm)],[])).
% 13.61/8.87 tff(1438,plain,
% 13.61/8.87 (v116(constB77) <=> (v117(constB77) | v122(constB77))),
% 13.61/8.87 inference(unit_resolution,[status(thm)],[1437, 719])).
% 13.61/8.87 tff(1439,plain,
% 13.61/8.87 ((~![VarCurr: $i] : (v117(VarCurr) <=> (v118(VarCurr) | v121(VarCurr)))) | (v117(constB77) <=> (v118(constB77) | v121(constB77)))),
% 13.61/8.87 inference(quant_inst,[status(thm)],[])).
% 13.61/8.87 tff(1440,plain,
% 13.61/8.87 (v117(constB77) <=> (v118(constB77) | v121(constB77))),
% 13.61/8.87 inference(unit_resolution,[status(thm)],[1439, 834])).
% 13.61/8.87 tff(1441,plain,
% 13.61/8.87 ((~![VarCurr: $i] : (v118(VarCurr) <=> (v119(VarCurr) | v120(VarCurr)))) | (v118(constB77) <=> (v119(constB77) | v120(constB77)))),
% 13.61/8.87 inference(quant_inst,[status(thm)],[])).
% 13.61/8.87 tff(1442,plain,
% 13.61/8.87 (v118(constB77) <=> (v119(constB77) | v120(constB77))),
% 13.61/8.87 inference(unit_resolution,[status(thm)],[1441, 951])).
% 13.61/8.87 tff(1443,plain,
% 13.61/8.87 (((~![VarCurr: $i] : (v120(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)))))) | (v120(constB77) <=> (~(v90(constB77, bitIndex2) | v90(constB77, bitIndex1) | (~v90(constB77, bitIndex0)))))) <=> ((~![VarCurr: $i] : (v120(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)))))) | (v120(constB77) <=> (~(v90(constB77, bitIndex2) | v90(constB77, bitIndex1) | (~v90(constB77, bitIndex0))))))),
% 13.61/8.87 inference(rewrite,[status(thm)],[])).
% 13.61/8.87 tff(1444,plain,
% 13.61/8.87 ((v120(constB77) <=> (~(v90(constB77, bitIndex1) | v90(constB77, bitIndex2) | (~v90(constB77, bitIndex0))))) <=> (v120(constB77) <=> (~(v90(constB77, bitIndex2) | v90(constB77, bitIndex1) | (~v90(constB77, bitIndex0)))))),
% 13.61/8.87 inference(rewrite,[status(thm)],[])).
% 13.61/8.87 tff(1445,plain,
% 13.61/8.87 (((~![VarCurr: $i] : (v120(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)))))) | (v120(constB77) <=> (~(v90(constB77, bitIndex1) | v90(constB77, bitIndex2) | (~v90(constB77, bitIndex0)))))) <=> ((~![VarCurr: $i] : (v120(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)))))) | (v120(constB77) <=> (~(v90(constB77, bitIndex2) | v90(constB77, bitIndex1) | (~v90(constB77, bitIndex0))))))),
% 13.61/8.87 inference(monotonicity,[status(thm)],[1444])).
% 13.61/8.87 tff(1446,plain,
% 13.61/8.87 (((~![VarCurr: $i] : (v120(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)))))) | (v120(constB77) <=> (~(v90(constB77, bitIndex1) | v90(constB77, bitIndex2) | (~v90(constB77, bitIndex0)))))) <=> ((~![VarCurr: $i] : (v120(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)))))) | (v120(constB77) <=> (~(v90(constB77, bitIndex2) | v90(constB77, bitIndex1) | (~v90(constB77, bitIndex0))))))),
% 13.61/8.87 inference(transitivity,[status(thm)],[1445, 1443])).
% 13.61/8.87 tff(1447,plain,
% 13.61/8.87 ((~![VarCurr: $i] : (v120(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)))))) | (v120(constB77) <=> (~(v90(constB77, bitIndex1) | v90(constB77, bitIndex2) | (~v90(constB77, bitIndex0)))))),
% 13.61/8.87 inference(quant_inst,[status(thm)],[])).
% 13.61/8.87 tff(1448,plain,
% 13.61/8.87 ((~![VarCurr: $i] : (v120(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)))))) | (v120(constB77) <=> (~(v90(constB77, bitIndex2) | v90(constB77, bitIndex1) | (~v90(constB77, bitIndex0)))))),
% 13.61/8.87 inference(modus_ponens,[status(thm)],[1447, 1446])).
% 13.61/8.87 tff(1449,plain,
% 13.61/8.87 (v120(constB77) <=> (~(v90(constB77, bitIndex2) | v90(constB77, bitIndex1) | (~v90(constB77, bitIndex0))))),
% 13.61/8.87 inference(unit_resolution,[status(thm)],[1448, 966])).
% 13.61/8.87 tff(1450,plain,
% 13.61/8.87 (nextState(constB76, constB77) <=> nextState(constB76, constB77)),
% 13.61/8.87 inference(rewrite,[status(thm)],[])).
% 13.61/8.87 tff(1451,axiom,(nextState(constB76, constB77)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_76')).
% 13.61/8.87 tff(1452,plain,
% 13.61/8.87 (nextState(constB76, constB77)),
% 13.61/8.87 inference(modus_ponens,[status(thm)],[1451, 1450])).
% 13.61/8.87 tff(1453,plain,
% 13.61/8.87 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB76, constB77)) | (v100(constB77) <=> (~((~v101(constB77)) | (~v110(constB77))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB76, constB77)) | (v100(constB77) <=> (~((~v101(constB77)) | (~v110(constB77))))))),
% 13.61/8.87 inference(rewrite,[status(thm)],[])).
% 13.61/8.87 tff(1454,plain,
% 13.61/8.87 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB76, constB77)) | (v100(constB77) <=> (~((~v101(constB77)) | (~v110(constB77))))))),
% 13.61/8.87 inference(quant_inst,[status(thm)],[])).
% 13.61/8.87 tff(1455,plain,
% 13.61/8.87 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB76, constB77)) | (v100(constB77) <=> (~((~v101(constB77)) | (~v110(constB77)))))),
% 13.61/8.87 inference(modus_ponens,[status(thm)],[1454, 1453])).
% 13.61/8.87 tff(1456,plain,
% 13.61/8.87 (v100(constB77) <=> (~((~v101(constB77)) | (~v110(constB77))))),
% 13.61/8.87 inference(unit_resolution,[status(thm)],[1455, 1452, 430])).
% 13.61/8.87 tff(1457,plain,
% 13.61/8.87 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB76, constB77)) | (v101(constB77) <=> (~((~v1(constB77)) | (~v102(constB77))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB76, constB77)) | (v101(constB77) <=> (~((~v1(constB77)) | (~v102(constB77))))))),
% 13.61/8.87 inference(rewrite,[status(thm)],[])).
% 13.61/8.87 tff(1458,plain,
% 13.61/8.87 (((~nextState(constB76, constB77)) | (v101(constB77) <=> (~((~v102(constB77)) | (~v1(constB77)))))) <=> ((~nextState(constB76, constB77)) | (v101(constB77) <=> (~((~v1(constB77)) | (~v102(constB77))))))),
% 13.61/8.87 inference(rewrite,[status(thm)],[])).
% 13.61/8.87 tff(1459,plain,
% 13.61/8.87 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB76, constB77)) | (v101(constB77) <=> (~((~v102(constB77)) | (~v1(constB77))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB76, constB77)) | (v101(constB77) <=> (~((~v1(constB77)) | (~v102(constB77)))))))),
% 13.61/8.87 inference(monotonicity,[status(thm)],[1458])).
% 13.61/8.87 tff(1460,plain,
% 13.61/8.87 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB76, constB77)) | (v101(constB77) <=> (~((~v102(constB77)) | (~v1(constB77))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB76, constB77)) | (v101(constB77) <=> (~((~v1(constB77)) | (~v102(constB77))))))),
% 13.61/8.87 inference(transitivity,[status(thm)],[1459, 1457])).
% 13.61/8.87 tff(1461,plain,
% 13.61/8.87 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB76, constB77)) | (v101(constB77) <=> (~((~v102(constB77)) | (~v1(constB77))))))),
% 13.61/8.87 inference(quant_inst,[status(thm)],[])).
% 13.61/8.87 tff(1462,plain,
% 13.61/8.87 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB76, constB77)) | (v101(constB77) <=> (~((~v1(constB77)) | (~v102(constB77)))))),
% 13.61/8.87 inference(modus_ponens,[status(thm)],[1461, 1460])).
% 13.61/8.87 tff(1463,plain,
% 13.61/8.87 (v101(constB77) <=> (~((~v1(constB77)) | (~v102(constB77))))),
% 13.61/8.87 inference(unit_resolution,[status(thm)],[1462, 1452, 450])).
% 13.61/8.87 tff(1464,plain,
% 13.61/8.87 (((~v1(constB77)) | (~v102(constB77))) | v1(constB77)),
% 13.61/8.87 inference(tautology,[status(thm)],[])).
% 13.61/8.87 tff(1465,plain,
% 13.61/8.87 ((~v1(constB77)) | (~v102(constB77))),
% 13.61/8.87 inference(unit_resolution,[status(thm)],[1464, 1409])).
% 13.61/8.87 tff(1466,plain,
% 13.61/8.87 ((~(v101(constB77) <=> (~((~v1(constB77)) | (~v102(constB77)))))) | (~v101(constB77)) | (~((~v1(constB77)) | (~v102(constB77))))),
% 13.61/8.87 inference(tautology,[status(thm)],[])).
% 13.61/8.87 tff(1467,plain,
% 13.61/8.87 ((~(v101(constB77) <=> (~((~v1(constB77)) | (~v102(constB77)))))) | (~v101(constB77))),
% 13.61/8.87 inference(unit_resolution,[status(thm)],[1466, 1465])).
% 13.61/8.87 tff(1468,plain,
% 13.61/8.87 (~v101(constB77)),
% 13.61/8.87 inference(unit_resolution,[status(thm)],[1467, 1463])).
% 13.61/8.87 tff(1469,plain,
% 13.61/8.87 (((~v101(constB77)) | (~v110(constB77))) | v101(constB77)),
% 13.61/8.87 inference(tautology,[status(thm)],[])).
% 13.61/8.87 tff(1470,plain,
% 13.61/8.87 ((~v101(constB77)) | (~v110(constB77))),
% 13.61/8.87 inference(unit_resolution,[status(thm)],[1469, 1468])).
% 13.61/8.87 tff(1471,plain,
% 13.61/8.87 ((~(v100(constB77) <=> (~((~v101(constB77)) | (~v110(constB77)))))) | (~v100(constB77)) | (~((~v101(constB77)) | (~v110(constB77))))),
% 13.61/8.87 inference(tautology,[status(thm)],[])).
% 13.61/8.87 tff(1472,plain,
% 13.61/8.87 (~v100(constB77)),
% 13.61/8.87 inference(unit_resolution,[status(thm)],[1471, 1470, 1456])).
% 13.61/8.87 tff(1473,plain,
% 13.61/8.87 (((~![VarCurr: $i, VarNext: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v90(VarCurr, B))))) | (v100(constB77) | (~nextState(constB76, constB77)) | ![B: $i] : ((~less_3(B)) | (v90(constB77, B) <=> v90(constB76, B))))) <=> ((~![VarCurr: $i, VarNext: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v90(VarCurr, B))))) | v100(constB77) | (~nextState(constB76, constB77)) | ![B: $i] : ((~less_3(B)) | (v90(constB77, B) <=> v90(constB76, B))))),
% 13.61/8.87 inference(rewrite,[status(thm)],[])).
% 13.61/8.87 tff(1474,plain,
% 13.61/8.87 ((~![VarCurr: $i, VarNext: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v90(VarCurr, B))))) | (v100(constB77) | (~nextState(constB76, constB77)) | ![B: $i] : ((~less_3(B)) | (v90(constB77, B) <=> v90(constB76, B))))),
% 13.61/8.87 inference(quant_inst,[status(thm)],[])).
% 13.61/8.87 tff(1475,plain,
% 13.61/8.87 ((~![VarCurr: $i, VarNext: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v90(VarCurr, B))))) | v100(constB77) | (~nextState(constB76, constB77)) | ![B: $i] : ((~less_3(B)) | (v90(constB77, B) <=> v90(constB76, B)))),
% 13.61/8.87 inference(modus_ponens,[status(thm)],[1474, 1473])).
% 13.61/8.87 tff(1476,plain,
% 13.61/8.87 (v100(constB77) | ![B: $i] : ((~less_3(B)) | (v90(constB77, B) <=> v90(constB76, B)))),
% 13.61/8.87 inference(unit_resolution,[status(thm)],[1475, 1452, 479])).
% 13.61/8.87 tff(1477,plain,
% 13.61/8.87 (![B: $i] : ((~less_3(B)) | (v90(constB77, B) <=> v90(constB76, B)))),
% 13.61/8.87 inference(unit_resolution,[status(thm)],[1476, 1472])).
% 13.61/8.87 tff(1478,plain,
% 13.61/8.87 (((~![B: $i] : ((~less_3(B)) | (v90(constB77, B) <=> v90(constB76, B)))) | ((~less_3(bitIndex2)) | (v90(constB77, bitIndex2) <=> v90(constB76, bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v90(constB77, B) <=> v90(constB76, B)))) | (~less_3(bitIndex2)) | (v90(constB77, bitIndex2) <=> v90(constB76, bitIndex2)))),
% 13.61/8.87 inference(rewrite,[status(thm)],[])).
% 13.61/8.87 tff(1479,plain,
% 13.61/8.87 ((~![B: $i] : ((~less_3(B)) | (v90(constB77, B) <=> v90(constB76, B)))) | ((~less_3(bitIndex2)) | (v90(constB77, bitIndex2) <=> v90(constB76, bitIndex2)))),
% 13.61/8.87 inference(quant_inst,[status(thm)],[])).
% 13.61/8.87 tff(1480,plain,
% 13.61/8.88 ((~![B: $i] : ((~less_3(B)) | (v90(constB77, B) <=> v90(constB76, B)))) | (~less_3(bitIndex2)) | (v90(constB77, bitIndex2) <=> v90(constB76, bitIndex2))),
% 13.61/8.88 inference(modus_ponens,[status(thm)],[1479, 1478])).
% 13.61/8.88 tff(1481,plain,
% 13.61/8.88 (v90(constB77, bitIndex2) <=> v90(constB76, bitIndex2)),
% 13.61/8.88 inference(unit_resolution,[status(thm)],[1480, 413, 1477])).
% 13.61/8.88 tff(1482,plain,
% 13.61/8.88 (nextState(constB75, constB76) <=> nextState(constB75, constB76)),
% 13.61/8.88 inference(rewrite,[status(thm)],[])).
% 13.61/8.88 tff(1483,axiom,(nextState(constB75, constB76)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_75')).
% 13.61/8.88 tff(1484,plain,
% 13.61/8.88 (nextState(constB75, constB76)),
% 13.61/8.88 inference(modus_ponens,[status(thm)],[1483, 1482])).
% 13.61/8.88 tff(1485,plain,
% 13.61/8.88 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB75, constB76)) | (v100(constB76) <=> (~((~v101(constB76)) | (~v110(constB76))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB75, constB76)) | (v100(constB76) <=> (~((~v101(constB76)) | (~v110(constB76))))))),
% 13.61/8.88 inference(rewrite,[status(thm)],[])).
% 13.61/8.88 tff(1486,plain,
% 13.61/8.88 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB75, constB76)) | (v100(constB76) <=> (~((~v101(constB76)) | (~v110(constB76))))))),
% 13.61/8.88 inference(quant_inst,[status(thm)],[])).
% 13.61/8.88 tff(1487,plain,
% 13.61/8.88 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB75, constB76)) | (v100(constB76) <=> (~((~v101(constB76)) | (~v110(constB76)))))),
% 13.61/8.88 inference(modus_ponens,[status(thm)],[1486, 1485])).
% 13.61/8.88 tff(1488,plain,
% 13.61/8.88 (v100(constB76) <=> (~((~v101(constB76)) | (~v110(constB76))))),
% 13.61/8.88 inference(unit_resolution,[status(thm)],[1487, 1484, 430])).
% 13.61/8.88 tff(1489,plain,
% 13.61/8.88 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB75, constB76)) | (v101(constB76) <=> (~((~v1(constB76)) | (~v102(constB76))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB75, constB76)) | (v101(constB76) <=> (~((~v1(constB76)) | (~v102(constB76))))))),
% 13.61/8.88 inference(rewrite,[status(thm)],[])).
% 13.61/8.88 tff(1490,plain,
% 13.61/8.88 (((~nextState(constB75, constB76)) | (v101(constB76) <=> (~((~v102(constB76)) | (~v1(constB76)))))) <=> ((~nextState(constB75, constB76)) | (v101(constB76) <=> (~((~v1(constB76)) | (~v102(constB76))))))),
% 13.61/8.88 inference(rewrite,[status(thm)],[])).
% 13.61/8.88 tff(1491,plain,
% 13.61/8.88 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB75, constB76)) | (v101(constB76) <=> (~((~v102(constB76)) | (~v1(constB76))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB75, constB76)) | (v101(constB76) <=> (~((~v1(constB76)) | (~v102(constB76)))))))),
% 13.61/8.88 inference(monotonicity,[status(thm)],[1490])).
% 13.61/8.88 tff(1492,plain,
% 13.61/8.88 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB75, constB76)) | (v101(constB76) <=> (~((~v102(constB76)) | (~v1(constB76))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB75, constB76)) | (v101(constB76) <=> (~((~v1(constB76)) | (~v102(constB76))))))),
% 13.61/8.88 inference(transitivity,[status(thm)],[1491, 1489])).
% 13.61/8.88 tff(1493,plain,
% 13.61/8.88 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB75, constB76)) | (v101(constB76) <=> (~((~v102(constB76)) | (~v1(constB76))))))),
% 13.61/8.88 inference(quant_inst,[status(thm)],[])).
% 13.61/8.88 tff(1494,plain,
% 13.61/8.88 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB75, constB76)) | (v101(constB76) <=> (~((~v1(constB76)) | (~v102(constB76)))))),
% 13.61/8.88 inference(modus_ponens,[status(thm)],[1493, 1492])).
% 13.61/8.88 tff(1495,plain,
% 13.61/8.88 (v101(constB76) <=> (~((~v1(constB76)) | (~v102(constB76))))),
% 13.61/8.88 inference(unit_resolution,[status(thm)],[1494, 1484, 450])).
% 13.61/8.88 tff(1496,plain,
% 13.61/8.88 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | ((~nextState(constB75, constB76)) | ((~v102(constB76)) <=> v104(constB76)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | (~nextState(constB75, constB76)) | ((~v102(constB76)) <=> v104(constB76)))),
% 13.61/8.88 inference(rewrite,[status(thm)],[])).
% 13.61/8.88 tff(1497,plain,
% 13.61/8.88 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | ((~nextState(constB75, constB76)) | ((~v102(constB76)) <=> v104(constB76)))),
% 13.61/8.88 inference(quant_inst,[status(thm)],[])).
% 13.61/8.88 tff(1498,plain,
% 13.61/8.88 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | (~nextState(constB75, constB76)) | ((~v102(constB76)) <=> v104(constB76))),
% 13.61/8.88 inference(modus_ponens,[status(thm)],[1497, 1496])).
% 13.61/8.88 tff(1499,plain,
% 13.61/8.88 ((~v102(constB76)) <=> v104(constB76)),
% 13.61/8.88 inference(unit_resolution,[status(thm)],[1498, 1484, 512])).
% 13.61/8.88 tff(1500,plain,
% 13.61/8.88 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB75, constB76)) | (v104(constB76) <=> v1(constB75)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | (~nextState(constB75, constB76)) | (v104(constB76) <=> v1(constB75)))),
% 13.61/8.88 inference(rewrite,[status(thm)],[])).
% 13.61/8.88 tff(1501,plain,
% 13.61/8.88 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB75, constB76)) | (v104(constB76) <=> v1(constB75)))),
% 13.61/8.88 inference(quant_inst,[status(thm)],[])).
% 13.61/8.88 tff(1502,plain,
% 13.61/8.88 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | (~nextState(constB75, constB76)) | (v104(constB76) <=> v1(constB75))),
% 13.61/8.88 inference(modus_ponens,[status(thm)],[1501, 1500])).
% 13.61/8.88 tff(1503,plain,
% 13.61/8.88 (v104(constB76) <=> v1(constB75)),
% 13.61/8.88 inference(unit_resolution,[status(thm)],[1502, 1484, 526])).
% 13.61/8.88 tff(1504,plain,
% 13.61/8.88 ((~v1(constB75)) <=> (~v1(constB75))),
% 13.61/8.88 inference(rewrite,[status(thm)],[])).
% 13.61/8.88 tff(1505,axiom,(~v1(constB75)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_75')).
% 13.61/8.88 tff(1506,plain,
% 13.61/8.88 (~v1(constB75)),
% 13.61/8.88 inference(modus_ponens,[status(thm)],[1505, 1504])).
% 13.61/8.88 tff(1507,plain,
% 13.61/8.88 ((~(v104(constB76) <=> v1(constB75))) | (~v104(constB76)) | v1(constB75)),
% 13.61/8.88 inference(tautology,[status(thm)],[])).
% 13.61/8.88 tff(1508,plain,
% 13.61/8.88 ((~(v104(constB76) <=> v1(constB75))) | (~v104(constB76))),
% 13.61/8.88 inference(unit_resolution,[status(thm)],[1507, 1506])).
% 13.61/8.88 tff(1509,plain,
% 13.61/8.88 (~v104(constB76)),
% 13.61/8.88 inference(unit_resolution,[status(thm)],[1508, 1503])).
% 13.61/8.88 tff(1510,plain,
% 13.61/8.88 ((~((~v102(constB76)) <=> v104(constB76))) | v102(constB76) | v104(constB76)),
% 13.61/8.88 inference(tautology,[status(thm)],[])).
% 13.61/8.88 tff(1511,plain,
% 13.61/8.88 (v102(constB76)),
% 13.61/8.88 inference(unit_resolution,[status(thm)],[1510, 1509, 1499])).
% 13.61/8.88 tff(1512,plain,
% 13.61/8.88 (v1(constB76) <=> v1(constB76)),
% 13.61/8.88 inference(rewrite,[status(thm)],[])).
% 13.61/8.88 tff(1513,axiom,(v1(constB76)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_76')).
% 13.61/8.88 tff(1514,plain,
% 13.61/8.88 (v1(constB76)),
% 13.61/8.88 inference(modus_ponens,[status(thm)],[1513, 1512])).
% 13.61/8.88 tff(1515,plain,
% 13.61/8.88 ((~((~v1(constB76)) | (~v102(constB76)))) | (~v1(constB76)) | (~v102(constB76))),
% 13.61/8.88 inference(tautology,[status(thm)],[])).
% 13.61/8.88 tff(1516,plain,
% 13.61/8.88 ((~((~v1(constB76)) | (~v102(constB76)))) | (~v102(constB76))),
% 13.61/8.88 inference(unit_resolution,[status(thm)],[1515, 1514])).
% 13.61/8.88 tff(1517,plain,
% 13.61/8.88 (~((~v1(constB76)) | (~v102(constB76)))),
% 13.61/8.88 inference(unit_resolution,[status(thm)],[1516, 1511])).
% 13.61/8.88 tff(1518,plain,
% 13.61/8.88 ((~(v101(constB76) <=> (~((~v1(constB76)) | (~v102(constB76)))))) | v101(constB76) | ((~v1(constB76)) | (~v102(constB76)))),
% 13.61/8.88 inference(tautology,[status(thm)],[])).
% 13.61/8.88 tff(1519,plain,
% 13.61/8.88 (v101(constB76)),
% 13.61/8.88 inference(unit_resolution,[status(thm)],[1518, 1517, 1495])).
% 13.61/8.88 tff(1520,plain,
% 13.61/8.88 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | ((~nextState(constB75, constB76)) | (v110(constB76) <=> v108(constB75)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | (~nextState(constB75, constB76)) | (v110(constB76) <=> v108(constB75)))),
% 13.61/8.88 inference(rewrite,[status(thm)],[])).
% 13.61/8.88 tff(1521,plain,
% 13.61/8.88 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | ((~nextState(constB75, constB76)) | (v110(constB76) <=> v108(constB75)))),
% 13.61/8.88 inference(quant_inst,[status(thm)],[])).
% 13.61/8.88 tff(1522,plain,
% 13.61/8.88 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | (~nextState(constB75, constB76)) | (v110(constB76) <=> v108(constB75))),
% 13.61/8.88 inference(modus_ponens,[status(thm)],[1521, 1520])).
% 13.61/8.88 tff(1523,plain,
% 13.61/8.88 (v110(constB76) <=> v108(constB75)),
% 13.61/8.88 inference(unit_resolution,[status(thm)],[1522, 1484, 556])).
% 13.61/8.88 tff(1524,plain,
% 13.61/8.88 ((~![VarCurr: $i] : (v108(VarCurr) <=> (v111(VarCurr) | v112(VarCurr)))) | (v108(constB75) <=> (v111(constB75) | v112(constB75)))),
% 13.61/8.88 inference(quant_inst,[status(thm)],[])).
% 13.61/8.88 tff(1525,plain,
% 13.61/8.88 (v108(constB75) <=> (v111(constB75) | v112(constB75))),
% 13.61/8.88 inference(unit_resolution,[status(thm)],[1524, 567])).
% 13.61/8.88 tff(1526,plain,
% 13.61/8.88 ((~![VarCurr: $i] : (v112(VarCurr) <=> (~((~v113(VarCurr)) | (~v126(VarCurr)))))) | (v112(constB75) <=> (~((~v113(constB75)) | (~v126(constB75)))))),
% 13.61/8.88 inference(quant_inst,[status(thm)],[])).
% 13.61/8.88 tff(1527,plain,
% 13.61/8.88 (v112(constB75) <=> (~((~v113(constB75)) | (~v126(constB75))))),
% 13.61/8.88 inference(unit_resolution,[status(thm)],[1526, 579])).
% 13.61/8.88 tff(1528,plain,
% 13.61/8.88 ((~![VarCurr: $i] : (v113(VarCurr) <=> (v114(VarCurr) | v125(VarCurr)))) | (v113(constB75) <=> (v114(constB75) | v125(constB75)))),
% 13.61/8.88 inference(quant_inst,[status(thm)],[])).
% 13.61/8.88 tff(1529,plain,
% 13.61/8.88 (v113(constB75) <=> (v114(constB75) | v125(constB75))),
% 13.61/8.88 inference(unit_resolution,[status(thm)],[1528, 588])).
% 13.61/8.88 tff(1530,plain,
% 13.61/8.88 (((~![VarCurr: $i] : (v125(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2)))))) | (v125(constB75) <=> (~((~v90(constB75, bitIndex2)) | (~v90(constB75, bitIndex1)) | v90(constB75, bitIndex0))))) <=> ((~![VarCurr: $i] : (v125(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2)))))) | (v125(constB75) <=> (~((~v90(constB75, bitIndex2)) | (~v90(constB75, bitIndex1)) | v90(constB75, bitIndex0)))))),
% 13.61/8.88 inference(rewrite,[status(thm)],[])).
% 13.61/8.88 tff(1531,plain,
% 13.61/8.88 ((v125(constB75) <=> (~(v90(constB75, bitIndex0) | (~v90(constB75, bitIndex1)) | (~v90(constB75, bitIndex2))))) <=> (v125(constB75) <=> (~((~v90(constB75, bitIndex2)) | (~v90(constB75, bitIndex1)) | v90(constB75, bitIndex0))))),
% 13.61/8.88 inference(rewrite,[status(thm)],[])).
% 13.61/8.88 tff(1532,plain,
% 13.61/8.88 (((~![VarCurr: $i] : (v125(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2)))))) | (v125(constB75) <=> (~(v90(constB75, bitIndex0) | (~v90(constB75, bitIndex1)) | (~v90(constB75, bitIndex2)))))) <=> ((~![VarCurr: $i] : (v125(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2)))))) | (v125(constB75) <=> (~((~v90(constB75, bitIndex2)) | (~v90(constB75, bitIndex1)) | v90(constB75, bitIndex0)))))),
% 13.61/8.88 inference(monotonicity,[status(thm)],[1531])).
% 13.61/8.88 tff(1533,plain,
% 13.61/8.88 (((~![VarCurr: $i] : (v125(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2)))))) | (v125(constB75) <=> (~(v90(constB75, bitIndex0) | (~v90(constB75, bitIndex1)) | (~v90(constB75, bitIndex2)))))) <=> ((~![VarCurr: $i] : (v125(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2)))))) | (v125(constB75) <=> (~((~v90(constB75, bitIndex2)) | (~v90(constB75, bitIndex1)) | v90(constB75, bitIndex0)))))),
% 13.69/8.88 inference(transitivity,[status(thm)],[1532, 1530])).
% 13.69/8.88 tff(1534,plain,
% 13.69/8.88 ((~![VarCurr: $i] : (v125(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2)))))) | (v125(constB75) <=> (~(v90(constB75, bitIndex0) | (~v90(constB75, bitIndex1)) | (~v90(constB75, bitIndex2)))))),
% 13.69/8.88 inference(quant_inst,[status(thm)],[])).
% 13.69/8.88 tff(1535,plain,
% 13.69/8.88 ((~![VarCurr: $i] : (v125(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2)))))) | (v125(constB75) <=> (~((~v90(constB75, bitIndex2)) | (~v90(constB75, bitIndex1)) | v90(constB75, bitIndex0))))),
% 13.69/8.88 inference(modus_ponens,[status(thm)],[1534, 1533])).
% 13.69/8.88 tff(1536,plain,
% 13.69/8.88 (v125(constB75) <=> (~((~v90(constB75, bitIndex2)) | (~v90(constB75, bitIndex1)) | v90(constB75, bitIndex0)))),
% 13.69/8.88 inference(unit_resolution,[status(thm)],[1535, 1066])).
% 13.69/8.88 tff(1537,plain,
% 13.69/8.88 (nextState(constB74, constB75) <=> nextState(constB74, constB75)),
% 13.69/8.88 inference(rewrite,[status(thm)],[])).
% 13.69/8.88 tff(1538,axiom,(nextState(constB74, constB75)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_74')).
% 13.69/8.88 tff(1539,plain,
% 13.69/8.88 (nextState(constB74, constB75)),
% 13.69/8.88 inference(modus_ponens,[status(thm)],[1538, 1537])).
% 13.69/8.88 tff(1540,plain,
% 13.69/8.88 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB74, constB75)) | (v100(constB75) <=> (~((~v101(constB75)) | (~v110(constB75))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB74, constB75)) | (v100(constB75) <=> (~((~v101(constB75)) | (~v110(constB75))))))),
% 13.69/8.88 inference(rewrite,[status(thm)],[])).
% 13.69/8.88 tff(1541,plain,
% 13.69/8.88 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB74, constB75)) | (v100(constB75) <=> (~((~v101(constB75)) | (~v110(constB75))))))),
% 13.69/8.88 inference(quant_inst,[status(thm)],[])).
% 13.69/8.88 tff(1542,plain,
% 13.69/8.88 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB74, constB75)) | (v100(constB75) <=> (~((~v101(constB75)) | (~v110(constB75)))))),
% 13.69/8.88 inference(modus_ponens,[status(thm)],[1541, 1540])).
% 13.69/8.88 tff(1543,plain,
% 13.69/8.88 (v100(constB75) <=> (~((~v101(constB75)) | (~v110(constB75))))),
% 13.69/8.88 inference(unit_resolution,[status(thm)],[1542, 1539, 430])).
% 13.69/8.88 tff(1544,plain,
% 13.69/8.88 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB74, constB75)) | (v101(constB75) <=> (~((~v1(constB75)) | (~v102(constB75))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB74, constB75)) | (v101(constB75) <=> (~((~v1(constB75)) | (~v102(constB75))))))),
% 13.69/8.88 inference(rewrite,[status(thm)],[])).
% 13.69/8.88 tff(1545,plain,
% 13.69/8.88 (((~nextState(constB74, constB75)) | (v101(constB75) <=> (~((~v102(constB75)) | (~v1(constB75)))))) <=> ((~nextState(constB74, constB75)) | (v101(constB75) <=> (~((~v1(constB75)) | (~v102(constB75))))))),
% 13.69/8.88 inference(rewrite,[status(thm)],[])).
% 13.69/8.88 tff(1546,plain,
% 13.69/8.88 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB74, constB75)) | (v101(constB75) <=> (~((~v102(constB75)) | (~v1(constB75))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB74, constB75)) | (v101(constB75) <=> (~((~v1(constB75)) | (~v102(constB75)))))))),
% 13.69/8.89 inference(monotonicity,[status(thm)],[1545])).
% 13.69/8.89 tff(1547,plain,
% 13.69/8.89 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB74, constB75)) | (v101(constB75) <=> (~((~v102(constB75)) | (~v1(constB75))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB74, constB75)) | (v101(constB75) <=> (~((~v1(constB75)) | (~v102(constB75))))))),
% 13.69/8.89 inference(transitivity,[status(thm)],[1546, 1544])).
% 13.69/8.89 tff(1548,plain,
% 13.69/8.89 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB74, constB75)) | (v101(constB75) <=> (~((~v102(constB75)) | (~v1(constB75))))))),
% 13.69/8.89 inference(quant_inst,[status(thm)],[])).
% 13.69/8.89 tff(1549,plain,
% 13.69/8.89 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB74, constB75)) | (v101(constB75) <=> (~((~v1(constB75)) | (~v102(constB75)))))),
% 13.69/8.89 inference(modus_ponens,[status(thm)],[1548, 1547])).
% 13.69/8.89 tff(1550,plain,
% 13.69/8.89 (v101(constB75) <=> (~((~v1(constB75)) | (~v102(constB75))))),
% 13.69/8.89 inference(unit_resolution,[status(thm)],[1549, 1539, 450])).
% 13.69/8.89 tff(1551,plain,
% 13.69/8.89 (((~v1(constB75)) | (~v102(constB75))) | v1(constB75)),
% 13.69/8.89 inference(tautology,[status(thm)],[])).
% 13.69/8.89 tff(1552,plain,
% 13.69/8.89 ((~v1(constB75)) | (~v102(constB75))),
% 13.69/8.89 inference(unit_resolution,[status(thm)],[1551, 1506])).
% 13.69/8.89 tff(1553,plain,
% 13.69/8.89 ((~(v101(constB75) <=> (~((~v1(constB75)) | (~v102(constB75)))))) | (~v101(constB75)) | (~((~v1(constB75)) | (~v102(constB75))))),
% 13.69/8.89 inference(tautology,[status(thm)],[])).
% 13.69/8.89 tff(1554,plain,
% 13.69/8.89 ((~(v101(constB75) <=> (~((~v1(constB75)) | (~v102(constB75)))))) | (~v101(constB75))),
% 13.69/8.89 inference(unit_resolution,[status(thm)],[1553, 1552])).
% 13.69/8.89 tff(1555,plain,
% 13.69/8.89 (~v101(constB75)),
% 13.69/8.89 inference(unit_resolution,[status(thm)],[1554, 1550])).
% 13.69/8.89 tff(1556,plain,
% 13.69/8.89 (((~v101(constB75)) | (~v110(constB75))) | v101(constB75)),
% 13.69/8.89 inference(tautology,[status(thm)],[])).
% 13.69/8.89 tff(1557,plain,
% 13.69/8.89 ((~v101(constB75)) | (~v110(constB75))),
% 13.69/8.89 inference(unit_resolution,[status(thm)],[1556, 1555])).
% 13.69/8.89 tff(1558,plain,
% 13.69/8.89 ((~(v100(constB75) <=> (~((~v101(constB75)) | (~v110(constB75)))))) | (~v100(constB75)) | (~((~v101(constB75)) | (~v110(constB75))))),
% 13.69/8.89 inference(tautology,[status(thm)],[])).
% 13.69/8.89 tff(1559,plain,
% 13.69/8.89 (~v100(constB75)),
% 13.69/8.89 inference(unit_resolution,[status(thm)],[1558, 1557, 1543])).
% 13.69/8.89 tff(1560,plain,
% 13.69/8.89 (((~![VarCurr: $i, VarNext: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v90(VarCurr, B))))) | (v100(constB75) | (~nextState(constB74, constB75)) | ![B: $i] : ((~less_3(B)) | (v90(constB75, B) <=> v90(constB74, B))))) <=> ((~![VarCurr: $i, VarNext: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v90(VarCurr, B))))) | v100(constB75) | (~nextState(constB74, constB75)) | ![B: $i] : ((~less_3(B)) | (v90(constB75, B) <=> v90(constB74, B))))),
% 13.69/8.89 inference(rewrite,[status(thm)],[])).
% 13.69/8.89 tff(1561,plain,
% 13.69/8.89 ((~![VarCurr: $i, VarNext: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v90(VarCurr, B))))) | (v100(constB75) | (~nextState(constB74, constB75)) | ![B: $i] : ((~less_3(B)) | (v90(constB75, B) <=> v90(constB74, B))))),
% 13.69/8.89 inference(quant_inst,[status(thm)],[])).
% 13.69/8.89 tff(1562,plain,
% 13.69/8.89 ((~![VarCurr: $i, VarNext: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v90(VarCurr, B))))) | v100(constB75) | (~nextState(constB74, constB75)) | ![B: $i] : ((~less_3(B)) | (v90(constB75, B) <=> v90(constB74, B)))),
% 13.69/8.89 inference(modus_ponens,[status(thm)],[1561, 1560])).
% 13.69/8.89 tff(1563,plain,
% 13.69/8.89 (v100(constB75) | ![B: $i] : ((~less_3(B)) | (v90(constB75, B) <=> v90(constB74, B)))),
% 13.69/8.89 inference(unit_resolution,[status(thm)],[1562, 1539, 479])).
% 13.69/8.89 tff(1564,plain,
% 13.69/8.89 (![B: $i] : ((~less_3(B)) | (v90(constB75, B) <=> v90(constB74, B)))),
% 13.69/8.89 inference(unit_resolution,[status(thm)],[1563, 1559])).
% 13.69/8.89 tff(1565,plain,
% 13.69/8.89 (((~![B: $i] : ((~less_3(B)) | (v90(constB75, B) <=> v90(constB74, B)))) | ((~less_3(bitIndex2)) | (v90(constB75, bitIndex2) <=> v90(constB74, bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v90(constB75, B) <=> v90(constB74, B)))) | (~less_3(bitIndex2)) | (v90(constB75, bitIndex2) <=> v90(constB74, bitIndex2)))),
% 13.69/8.89 inference(rewrite,[status(thm)],[])).
% 13.69/8.89 tff(1566,plain,
% 13.69/8.89 ((~![B: $i] : ((~less_3(B)) | (v90(constB75, B) <=> v90(constB74, B)))) | ((~less_3(bitIndex2)) | (v90(constB75, bitIndex2) <=> v90(constB74, bitIndex2)))),
% 13.69/8.89 inference(quant_inst,[status(thm)],[])).
% 13.69/8.89 tff(1567,plain,
% 13.69/8.89 ((~![B: $i] : ((~less_3(B)) | (v90(constB75, B) <=> v90(constB74, B)))) | (~less_3(bitIndex2)) | (v90(constB75, bitIndex2) <=> v90(constB74, bitIndex2))),
% 13.69/8.89 inference(modus_ponens,[status(thm)],[1566, 1565])).
% 13.69/8.89 tff(1568,plain,
% 13.69/8.89 (v90(constB75, bitIndex2) <=> v90(constB74, bitIndex2)),
% 13.69/8.89 inference(unit_resolution,[status(thm)],[1567, 413, 1564])).
% 13.69/8.89 tff(1569,plain,
% 13.69/8.89 (nextState(constB73, constB74) <=> nextState(constB73, constB74)),
% 13.69/8.89 inference(rewrite,[status(thm)],[])).
% 13.69/8.89 tff(1570,axiom,(nextState(constB73, constB74)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_73')).
% 13.69/8.89 tff(1571,plain,
% 13.69/8.89 (nextState(constB73, constB74)),
% 13.69/8.89 inference(modus_ponens,[status(thm)],[1570, 1569])).
% 13.69/8.89 tff(1572,plain,
% 13.69/8.89 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB73, constB74)) | (v100(constB74) <=> (~((~v101(constB74)) | (~v110(constB74))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB73, constB74)) | (v100(constB74) <=> (~((~v101(constB74)) | (~v110(constB74))))))),
% 13.69/8.89 inference(rewrite,[status(thm)],[])).
% 13.69/8.89 tff(1573,plain,
% 13.69/8.89 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB73, constB74)) | (v100(constB74) <=> (~((~v101(constB74)) | (~v110(constB74))))))),
% 13.69/8.89 inference(quant_inst,[status(thm)],[])).
% 13.69/8.89 tff(1574,plain,
% 13.69/8.89 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB73, constB74)) | (v100(constB74) <=> (~((~v101(constB74)) | (~v110(constB74)))))),
% 13.69/8.89 inference(modus_ponens,[status(thm)],[1573, 1572])).
% 13.69/8.89 tff(1575,plain,
% 13.69/8.89 (v100(constB74) <=> (~((~v101(constB74)) | (~v110(constB74))))),
% 13.69/8.89 inference(unit_resolution,[status(thm)],[1574, 1571, 430])).
% 13.69/8.89 tff(1576,plain,
% 13.69/8.89 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB73, constB74)) | (v101(constB74) <=> (~((~v1(constB74)) | (~v102(constB74))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB73, constB74)) | (v101(constB74) <=> (~((~v1(constB74)) | (~v102(constB74))))))),
% 13.69/8.89 inference(rewrite,[status(thm)],[])).
% 13.69/8.89 tff(1577,plain,
% 13.69/8.89 (((~nextState(constB73, constB74)) | (v101(constB74) <=> (~((~v102(constB74)) | (~v1(constB74)))))) <=> ((~nextState(constB73, constB74)) | (v101(constB74) <=> (~((~v1(constB74)) | (~v102(constB74))))))),
% 13.69/8.89 inference(rewrite,[status(thm)],[])).
% 13.69/8.89 tff(1578,plain,
% 13.69/8.89 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB73, constB74)) | (v101(constB74) <=> (~((~v102(constB74)) | (~v1(constB74))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB73, constB74)) | (v101(constB74) <=> (~((~v1(constB74)) | (~v102(constB74)))))))),
% 13.69/8.89 inference(monotonicity,[status(thm)],[1577])).
% 13.69/8.89 tff(1579,plain,
% 13.69/8.89 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB73, constB74)) | (v101(constB74) <=> (~((~v102(constB74)) | (~v1(constB74))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB73, constB74)) | (v101(constB74) <=> (~((~v1(constB74)) | (~v102(constB74))))))),
% 13.69/8.89 inference(transitivity,[status(thm)],[1578, 1576])).
% 13.69/8.89 tff(1580,plain,
% 13.69/8.89 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB73, constB74)) | (v101(constB74) <=> (~((~v102(constB74)) | (~v1(constB74))))))),
% 13.69/8.89 inference(quant_inst,[status(thm)],[])).
% 13.69/8.89 tff(1581,plain,
% 13.69/8.89 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB73, constB74)) | (v101(constB74) <=> (~((~v1(constB74)) | (~v102(constB74)))))),
% 13.69/8.89 inference(modus_ponens,[status(thm)],[1580, 1579])).
% 13.69/8.89 tff(1582,plain,
% 13.69/8.89 (v101(constB74) <=> (~((~v1(constB74)) | (~v102(constB74))))),
% 13.69/8.89 inference(unit_resolution,[status(thm)],[1581, 1571, 450])).
% 13.69/8.89 tff(1583,plain,
% 13.69/8.89 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | ((~nextState(constB73, constB74)) | ((~v102(constB74)) <=> v104(constB74)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | (~nextState(constB73, constB74)) | ((~v102(constB74)) <=> v104(constB74)))),
% 13.69/8.89 inference(rewrite,[status(thm)],[])).
% 13.69/8.89 tff(1584,plain,
% 13.69/8.89 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | ((~nextState(constB73, constB74)) | ((~v102(constB74)) <=> v104(constB74)))),
% 13.69/8.89 inference(quant_inst,[status(thm)],[])).
% 13.69/8.89 tff(1585,plain,
% 13.69/8.89 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | (~nextState(constB73, constB74)) | ((~v102(constB74)) <=> v104(constB74))),
% 13.69/8.89 inference(modus_ponens,[status(thm)],[1584, 1583])).
% 13.69/8.89 tff(1586,plain,
% 13.69/8.89 ((~v102(constB74)) <=> v104(constB74)),
% 13.69/8.89 inference(unit_resolution,[status(thm)],[1585, 1571, 512])).
% 13.69/8.89 tff(1587,plain,
% 13.69/8.89 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB73, constB74)) | (v104(constB74) <=> v1(constB73)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | (~nextState(constB73, constB74)) | (v104(constB74) <=> v1(constB73)))),
% 13.69/8.89 inference(rewrite,[status(thm)],[])).
% 13.69/8.89 tff(1588,plain,
% 13.69/8.89 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB73, constB74)) | (v104(constB74) <=> v1(constB73)))),
% 13.69/8.89 inference(quant_inst,[status(thm)],[])).
% 13.69/8.89 tff(1589,plain,
% 13.69/8.89 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | (~nextState(constB73, constB74)) | (v104(constB74) <=> v1(constB73))),
% 13.69/8.89 inference(modus_ponens,[status(thm)],[1588, 1587])).
% 13.69/8.89 tff(1590,plain,
% 13.69/8.89 (v104(constB74) <=> v1(constB73)),
% 13.69/8.89 inference(unit_resolution,[status(thm)],[1589, 1571, 526])).
% 13.69/8.89 tff(1591,plain,
% 13.69/8.89 ((~v1(constB73)) <=> (~v1(constB73))),
% 13.69/8.89 inference(rewrite,[status(thm)],[])).
% 13.69/8.89 tff(1592,axiom,(~v1(constB73)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_73')).
% 13.69/8.89 tff(1593,plain,
% 13.69/8.89 (~v1(constB73)),
% 13.69/8.89 inference(modus_ponens,[status(thm)],[1592, 1591])).
% 13.69/8.89 tff(1594,plain,
% 13.69/8.89 ((~(v104(constB74) <=> v1(constB73))) | (~v104(constB74)) | v1(constB73)),
% 13.69/8.89 inference(tautology,[status(thm)],[])).
% 13.69/8.89 tff(1595,plain,
% 13.69/8.89 ((~(v104(constB74) <=> v1(constB73))) | (~v104(constB74))),
% 13.69/8.89 inference(unit_resolution,[status(thm)],[1594, 1593])).
% 13.69/8.89 tff(1596,plain,
% 13.69/8.89 (~v104(constB74)),
% 13.69/8.89 inference(unit_resolution,[status(thm)],[1595, 1590])).
% 13.69/8.89 tff(1597,plain,
% 13.69/8.89 ((~((~v102(constB74)) <=> v104(constB74))) | v102(constB74) | v104(constB74)),
% 13.69/8.89 inference(tautology,[status(thm)],[])).
% 13.69/8.89 tff(1598,plain,
% 13.69/8.89 (v102(constB74)),
% 13.69/8.89 inference(unit_resolution,[status(thm)],[1597, 1596, 1586])).
% 13.69/8.89 tff(1599,plain,
% 13.69/8.89 (v1(constB74) <=> v1(constB74)),
% 13.69/8.89 inference(rewrite,[status(thm)],[])).
% 13.69/8.89 tff(1600,axiom,(v1(constB74)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_74')).
% 13.69/8.89 tff(1601,plain,
% 13.69/8.89 (v1(constB74)),
% 13.69/8.89 inference(modus_ponens,[status(thm)],[1600, 1599])).
% 13.69/8.89 tff(1602,plain,
% 13.69/8.89 ((~((~v1(constB74)) | (~v102(constB74)))) | (~v1(constB74)) | (~v102(constB74))),
% 13.69/8.89 inference(tautology,[status(thm)],[])).
% 13.69/8.89 tff(1603,plain,
% 13.69/8.89 ((~((~v1(constB74)) | (~v102(constB74)))) | (~v102(constB74))),
% 13.69/8.89 inference(unit_resolution,[status(thm)],[1602, 1601])).
% 13.69/8.89 tff(1604,plain,
% 13.69/8.89 (~((~v1(constB74)) | (~v102(constB74)))),
% 13.69/8.89 inference(unit_resolution,[status(thm)],[1603, 1598])).
% 13.69/8.89 tff(1605,plain,
% 13.69/8.89 ((~(v101(constB74) <=> (~((~v1(constB74)) | (~v102(constB74)))))) | v101(constB74) | ((~v1(constB74)) | (~v102(constB74)))),
% 13.69/8.89 inference(tautology,[status(thm)],[])).
% 13.69/8.89 tff(1606,plain,
% 13.69/8.89 (v101(constB74)),
% 13.69/8.89 inference(unit_resolution,[status(thm)],[1605, 1604, 1582])).
% 13.69/8.89 tff(1607,plain,
% 13.69/8.89 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | ((~nextState(constB73, constB74)) | (v110(constB74) <=> v108(constB73)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | (~nextState(constB73, constB74)) | (v110(constB74) <=> v108(constB73)))),
% 13.69/8.89 inference(rewrite,[status(thm)],[])).
% 13.69/8.89 tff(1608,plain,
% 13.69/8.89 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | ((~nextState(constB73, constB74)) | (v110(constB74) <=> v108(constB73)))),
% 13.69/8.89 inference(quant_inst,[status(thm)],[])).
% 13.69/8.89 tff(1609,plain,
% 13.69/8.89 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | (~nextState(constB73, constB74)) | (v110(constB74) <=> v108(constB73))),
% 13.69/8.89 inference(modus_ponens,[status(thm)],[1608, 1607])).
% 13.69/8.89 tff(1610,plain,
% 13.69/8.89 (v110(constB74) <=> v108(constB73)),
% 13.69/8.89 inference(unit_resolution,[status(thm)],[1609, 1571, 556])).
% 13.69/8.89 tff(1611,plain,
% 13.69/8.89 ((~![VarCurr: $i] : (v108(VarCurr) <=> (v111(VarCurr) | v112(VarCurr)))) | (v108(constB73) <=> (v111(constB73) | v112(constB73)))),
% 13.69/8.89 inference(quant_inst,[status(thm)],[])).
% 13.69/8.89 tff(1612,plain,
% 13.69/8.89 (v108(constB73) <=> (v111(constB73) | v112(constB73))),
% 13.69/8.89 inference(unit_resolution,[status(thm)],[1611, 567])).
% 13.69/8.89 tff(1613,plain,
% 13.69/8.89 ((~![VarCurr: $i] : (v112(VarCurr) <=> (~((~v113(VarCurr)) | (~v126(VarCurr)))))) | (v112(constB73) <=> (~((~v113(constB73)) | (~v126(constB73)))))),
% 13.69/8.89 inference(quant_inst,[status(thm)],[])).
% 13.69/8.89 tff(1614,plain,
% 13.69/8.89 (v112(constB73) <=> (~((~v113(constB73)) | (~v126(constB73))))),
% 13.69/8.89 inference(unit_resolution,[status(thm)],[1613, 579])).
% 13.69/8.89 tff(1615,plain,
% 13.69/8.89 ((~![VarCurr: $i] : (v113(VarCurr) <=> (v114(VarCurr) | v125(VarCurr)))) | (v113(constB73) <=> (v114(constB73) | v125(constB73)))),
% 13.69/8.89 inference(quant_inst,[status(thm)],[])).
% 13.69/8.89 tff(1616,plain,
% 13.69/8.89 (v113(constB73) <=> (v114(constB73) | v125(constB73))),
% 13.69/8.89 inference(unit_resolution,[status(thm)],[1615, 588])).
% 13.69/8.89 tff(1617,plain,
% 13.69/8.89 ((~![VarCurr: $i] : (v114(VarCurr) <=> (v115(VarCurr) | v124(VarCurr)))) | (v114(constB73) <=> (v115(constB73) | v124(constB73)))),
% 13.69/8.89 inference(quant_inst,[status(thm)],[])).
% 13.69/8.89 tff(1618,plain,
% 13.69/8.89 (v114(constB73) <=> (v115(constB73) | v124(constB73))),
% 13.69/8.89 inference(unit_resolution,[status(thm)],[1617, 597])).
% 13.69/8.89 tff(1619,plain,
% 13.69/8.89 ((~![VarCurr: $i] : (v115(VarCurr) <=> (v116(VarCurr) | v123(VarCurr)))) | (v115(constB73) <=> (v116(constB73) | v123(constB73)))),
% 13.69/8.89 inference(quant_inst,[status(thm)],[])).
% 13.69/8.89 tff(1620,plain,
% 13.69/8.89 (v115(constB73) <=> (v116(constB73) | v123(constB73))),
% 13.69/8.89 inference(unit_resolution,[status(thm)],[1619, 606])).
% 13.69/8.89 tff(1621,plain,
% 13.69/8.89 (((~![VarCurr: $i] : (v123(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)))))) | (v123(constB73) <=> (~((~v90(constB73, bitIndex2)) | v90(constB73, bitIndex1) | v90(constB73, bitIndex0))))) <=> ((~![VarCurr: $i] : (v123(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)))))) | (v123(constB73) <=> (~((~v90(constB73, bitIndex2)) | v90(constB73, bitIndex1) | v90(constB73, bitIndex0)))))),
% 13.69/8.90 inference(rewrite,[status(thm)],[])).
% 13.69/8.90 tff(1622,plain,
% 13.69/8.90 ((v123(constB73) <=> (~(v90(constB73, bitIndex0) | v90(constB73, bitIndex1) | (~v90(constB73, bitIndex2))))) <=> (v123(constB73) <=> (~((~v90(constB73, bitIndex2)) | v90(constB73, bitIndex1) | v90(constB73, bitIndex0))))),
% 13.69/8.90 inference(rewrite,[status(thm)],[])).
% 13.69/8.90 tff(1623,plain,
% 13.69/8.90 (((~![VarCurr: $i] : (v123(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)))))) | (v123(constB73) <=> (~(v90(constB73, bitIndex0) | v90(constB73, bitIndex1) | (~v90(constB73, bitIndex2)))))) <=> ((~![VarCurr: $i] : (v123(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)))))) | (v123(constB73) <=> (~((~v90(constB73, bitIndex2)) | v90(constB73, bitIndex1) | v90(constB73, bitIndex0)))))),
% 13.69/8.90 inference(monotonicity,[status(thm)],[1622])).
% 13.69/8.90 tff(1624,plain,
% 13.69/8.90 (((~![VarCurr: $i] : (v123(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)))))) | (v123(constB73) <=> (~(v90(constB73, bitIndex0) | v90(constB73, bitIndex1) | (~v90(constB73, bitIndex2)))))) <=> ((~![VarCurr: $i] : (v123(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)))))) | (v123(constB73) <=> (~((~v90(constB73, bitIndex2)) | v90(constB73, bitIndex1) | v90(constB73, bitIndex0)))))),
% 13.69/8.90 inference(transitivity,[status(thm)],[1623, 1621])).
% 13.69/8.90 tff(1625,plain,
% 13.69/8.90 ((~![VarCurr: $i] : (v123(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)))))) | (v123(constB73) <=> (~(v90(constB73, bitIndex0) | v90(constB73, bitIndex1) | (~v90(constB73, bitIndex2)))))),
% 13.69/8.90 inference(quant_inst,[status(thm)],[])).
% 13.69/8.90 tff(1626,plain,
% 13.69/8.90 ((~![VarCurr: $i] : (v123(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)))))) | (v123(constB73) <=> (~((~v90(constB73, bitIndex2)) | v90(constB73, bitIndex1) | v90(constB73, bitIndex0))))),
% 13.69/8.90 inference(modus_ponens,[status(thm)],[1625, 1624])).
% 13.69/8.90 tff(1627,plain,
% 13.69/8.90 (v123(constB73) <=> (~((~v90(constB73, bitIndex2)) | v90(constB73, bitIndex1) | v90(constB73, bitIndex0)))),
% 13.69/8.90 inference(unit_resolution,[status(thm)],[1626, 621])).
% 13.69/8.90 tff(1628,plain,
% 13.69/8.90 (nextState(constB72, constB73) <=> nextState(constB72, constB73)),
% 13.69/8.90 inference(rewrite,[status(thm)],[])).
% 13.69/8.90 tff(1629,axiom,(nextState(constB72, constB73)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_72')).
% 13.69/8.90 tff(1630,plain,
% 13.69/8.90 (nextState(constB72, constB73)),
% 13.69/8.90 inference(modus_ponens,[status(thm)],[1629, 1628])).
% 13.69/8.90 tff(1631,plain,
% 13.69/8.90 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB72, constB73)) | (v100(constB73) <=> (~((~v101(constB73)) | (~v110(constB73))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB72, constB73)) | (v100(constB73) <=> (~((~v101(constB73)) | (~v110(constB73))))))),
% 13.69/8.90 inference(rewrite,[status(thm)],[])).
% 13.69/8.90 tff(1632,plain,
% 13.69/8.90 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB72, constB73)) | (v100(constB73) <=> (~((~v101(constB73)) | (~v110(constB73))))))),
% 13.69/8.90 inference(quant_inst,[status(thm)],[])).
% 13.69/8.90 tff(1633,plain,
% 13.69/8.90 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB72, constB73)) | (v100(constB73) <=> (~((~v101(constB73)) | (~v110(constB73)))))),
% 13.69/8.90 inference(modus_ponens,[status(thm)],[1632, 1631])).
% 13.69/8.90 tff(1634,plain,
% 13.69/8.90 (v100(constB73) <=> (~((~v101(constB73)) | (~v110(constB73))))),
% 13.69/8.90 inference(unit_resolution,[status(thm)],[1633, 1630, 430])).
% 13.69/8.90 tff(1635,plain,
% 13.69/8.90 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB72, constB73)) | (v101(constB73) <=> (~((~v1(constB73)) | (~v102(constB73))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB72, constB73)) | (v101(constB73) <=> (~((~v1(constB73)) | (~v102(constB73))))))),
% 13.69/8.90 inference(rewrite,[status(thm)],[])).
% 13.69/8.90 tff(1636,plain,
% 13.69/8.90 (((~nextState(constB72, constB73)) | (v101(constB73) <=> (~((~v102(constB73)) | (~v1(constB73)))))) <=> ((~nextState(constB72, constB73)) | (v101(constB73) <=> (~((~v1(constB73)) | (~v102(constB73))))))),
% 13.69/8.90 inference(rewrite,[status(thm)],[])).
% 13.69/8.90 tff(1637,plain,
% 13.69/8.90 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB72, constB73)) | (v101(constB73) <=> (~((~v102(constB73)) | (~v1(constB73))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB72, constB73)) | (v101(constB73) <=> (~((~v1(constB73)) | (~v102(constB73)))))))),
% 13.69/8.90 inference(monotonicity,[status(thm)],[1636])).
% 13.69/8.90 tff(1638,plain,
% 13.69/8.90 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB72, constB73)) | (v101(constB73) <=> (~((~v102(constB73)) | (~v1(constB73))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB72, constB73)) | (v101(constB73) <=> (~((~v1(constB73)) | (~v102(constB73))))))),
% 13.69/8.90 inference(transitivity,[status(thm)],[1637, 1635])).
% 13.69/8.90 tff(1639,plain,
% 13.69/8.90 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB72, constB73)) | (v101(constB73) <=> (~((~v102(constB73)) | (~v1(constB73))))))),
% 13.69/8.90 inference(quant_inst,[status(thm)],[])).
% 13.69/8.90 tff(1640,plain,
% 13.69/8.90 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB72, constB73)) | (v101(constB73) <=> (~((~v1(constB73)) | (~v102(constB73)))))),
% 13.69/8.90 inference(modus_ponens,[status(thm)],[1639, 1638])).
% 13.69/8.90 tff(1641,plain,
% 13.69/8.90 (v101(constB73) <=> (~((~v1(constB73)) | (~v102(constB73))))),
% 13.69/8.90 inference(unit_resolution,[status(thm)],[1640, 1630, 450])).
% 13.69/8.90 tff(1642,plain,
% 13.69/8.90 (((~v1(constB73)) | (~v102(constB73))) | v1(constB73)),
% 13.69/8.90 inference(tautology,[status(thm)],[])).
% 13.69/8.90 tff(1643,plain,
% 13.69/8.90 ((~v1(constB73)) | (~v102(constB73))),
% 13.69/8.90 inference(unit_resolution,[status(thm)],[1642, 1593])).
% 13.69/8.90 tff(1644,plain,
% 13.69/8.90 ((~(v101(constB73) <=> (~((~v1(constB73)) | (~v102(constB73)))))) | (~v101(constB73)) | (~((~v1(constB73)) | (~v102(constB73))))),
% 13.69/8.90 inference(tautology,[status(thm)],[])).
% 13.69/8.90 tff(1645,plain,
% 13.69/8.90 ((~(v101(constB73) <=> (~((~v1(constB73)) | (~v102(constB73)))))) | (~v101(constB73))),
% 13.69/8.90 inference(unit_resolution,[status(thm)],[1644, 1643])).
% 13.69/8.90 tff(1646,plain,
% 13.69/8.90 (~v101(constB73)),
% 13.69/8.90 inference(unit_resolution,[status(thm)],[1645, 1641])).
% 13.69/8.90 tff(1647,plain,
% 13.69/8.90 (((~v101(constB73)) | (~v110(constB73))) | v101(constB73)),
% 13.69/8.90 inference(tautology,[status(thm)],[])).
% 13.69/8.90 tff(1648,plain,
% 13.69/8.90 ((~v101(constB73)) | (~v110(constB73))),
% 13.69/8.90 inference(unit_resolution,[status(thm)],[1647, 1646])).
% 13.69/8.90 tff(1649,plain,
% 13.69/8.90 ((~(v100(constB73) <=> (~((~v101(constB73)) | (~v110(constB73)))))) | (~v100(constB73)) | (~((~v101(constB73)) | (~v110(constB73))))),
% 13.69/8.90 inference(tautology,[status(thm)],[])).
% 13.69/8.90 tff(1650,plain,
% 13.69/8.90 (~v100(constB73)),
% 13.69/8.90 inference(unit_resolution,[status(thm)],[1649, 1648, 1634])).
% 13.69/8.90 tff(1651,plain,
% 13.69/8.90 (((~![VarCurr: $i, VarNext: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v90(VarCurr, B))))) | (v100(constB73) | (~nextState(constB72, constB73)) | ![B: $i] : ((~less_3(B)) | (v90(constB73, B) <=> v90(constB72, B))))) <=> ((~![VarCurr: $i, VarNext: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v90(VarCurr, B))))) | v100(constB73) | (~nextState(constB72, constB73)) | ![B: $i] : ((~less_3(B)) | (v90(constB73, B) <=> v90(constB72, B))))),
% 13.69/8.90 inference(rewrite,[status(thm)],[])).
% 13.69/8.90 tff(1652,plain,
% 13.69/8.90 ((~![VarCurr: $i, VarNext: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v90(VarCurr, B))))) | (v100(constB73) | (~nextState(constB72, constB73)) | ![B: $i] : ((~less_3(B)) | (v90(constB73, B) <=> v90(constB72, B))))),
% 13.69/8.90 inference(quant_inst,[status(thm)],[])).
% 13.69/8.90 tff(1653,plain,
% 13.69/8.90 ((~![VarCurr: $i, VarNext: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v90(VarCurr, B))))) | v100(constB73) | (~nextState(constB72, constB73)) | ![B: $i] : ((~less_3(B)) | (v90(constB73, B) <=> v90(constB72, B)))),
% 13.69/8.90 inference(modus_ponens,[status(thm)],[1652, 1651])).
% 13.69/8.90 tff(1654,plain,
% 13.69/8.90 (v100(constB73) | ![B: $i] : ((~less_3(B)) | (v90(constB73, B) <=> v90(constB72, B)))),
% 13.69/8.90 inference(unit_resolution,[status(thm)],[1653, 1630, 479])).
% 13.69/8.90 tff(1655,plain,
% 13.69/8.90 (![B: $i] : ((~less_3(B)) | (v90(constB73, B) <=> v90(constB72, B)))),
% 13.69/8.90 inference(unit_resolution,[status(thm)],[1654, 1650])).
% 13.69/8.90 tff(1656,plain,
% 13.69/8.90 (((~![B: $i] : ((~less_3(B)) | (v90(constB73, B) <=> v90(constB72, B)))) | ((~less_3(bitIndex2)) | (v90(constB73, bitIndex2) <=> v90(constB72, bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v90(constB73, B) <=> v90(constB72, B)))) | (~less_3(bitIndex2)) | (v90(constB73, bitIndex2) <=> v90(constB72, bitIndex2)))),
% 13.69/8.90 inference(rewrite,[status(thm)],[])).
% 13.69/8.90 tff(1657,plain,
% 13.69/8.90 ((~![B: $i] : ((~less_3(B)) | (v90(constB73, B) <=> v90(constB72, B)))) | ((~less_3(bitIndex2)) | (v90(constB73, bitIndex2) <=> v90(constB72, bitIndex2)))),
% 13.69/8.90 inference(quant_inst,[status(thm)],[])).
% 13.69/8.90 tff(1658,plain,
% 13.69/8.90 ((~![B: $i] : ((~less_3(B)) | (v90(constB73, B) <=> v90(constB72, B)))) | (~less_3(bitIndex2)) | (v90(constB73, bitIndex2) <=> v90(constB72, bitIndex2))),
% 13.69/8.90 inference(modus_ponens,[status(thm)],[1657, 1656])).
% 13.69/8.90 tff(1659,plain,
% 13.69/8.90 (v90(constB73, bitIndex2) <=> v90(constB72, bitIndex2)),
% 13.69/8.90 inference(unit_resolution,[status(thm)],[1658, 413, 1655])).
% 13.69/8.90 tff(1660,plain,
% 13.69/8.90 (nextState(constB71, constB72) <=> nextState(constB71, constB72)),
% 13.69/8.90 inference(rewrite,[status(thm)],[])).
% 13.69/8.90 tff(1661,axiom,(nextState(constB71, constB72)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_71')).
% 13.69/8.90 tff(1662,plain,
% 13.69/8.90 (nextState(constB71, constB72)),
% 13.69/8.90 inference(modus_ponens,[status(thm)],[1661, 1660])).
% 13.69/8.90 tff(1663,plain,
% 13.69/8.90 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB71, constB72)) | (v100(constB72) <=> (~((~v101(constB72)) | (~v110(constB72))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB71, constB72)) | (v100(constB72) <=> (~((~v101(constB72)) | (~v110(constB72))))))),
% 13.69/8.90 inference(rewrite,[status(thm)],[])).
% 13.69/8.90 tff(1664,plain,
% 13.69/8.90 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB71, constB72)) | (v100(constB72) <=> (~((~v101(constB72)) | (~v110(constB72))))))),
% 13.69/8.90 inference(quant_inst,[status(thm)],[])).
% 13.69/8.90 tff(1665,plain,
% 13.69/8.90 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB71, constB72)) | (v100(constB72) <=> (~((~v101(constB72)) | (~v110(constB72)))))),
% 13.69/8.90 inference(modus_ponens,[status(thm)],[1664, 1663])).
% 13.69/8.90 tff(1666,plain,
% 13.69/8.90 (v100(constB72) <=> (~((~v101(constB72)) | (~v110(constB72))))),
% 13.69/8.90 inference(unit_resolution,[status(thm)],[1665, 1662, 430])).
% 13.69/8.90 tff(1667,plain,
% 13.69/8.90 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB71, constB72)) | (v101(constB72) <=> (~((~v1(constB72)) | (~v102(constB72))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB71, constB72)) | (v101(constB72) <=> (~((~v1(constB72)) | (~v102(constB72))))))),
% 13.69/8.90 inference(rewrite,[status(thm)],[])).
% 13.69/8.90 tff(1668,plain,
% 13.69/8.90 (((~nextState(constB71, constB72)) | (v101(constB72) <=> (~((~v102(constB72)) | (~v1(constB72)))))) <=> ((~nextState(constB71, constB72)) | (v101(constB72) <=> (~((~v1(constB72)) | (~v102(constB72))))))),
% 13.69/8.90 inference(rewrite,[status(thm)],[])).
% 13.69/8.90 tff(1669,plain,
% 13.69/8.90 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB71, constB72)) | (v101(constB72) <=> (~((~v102(constB72)) | (~v1(constB72))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB71, constB72)) | (v101(constB72) <=> (~((~v1(constB72)) | (~v102(constB72)))))))),
% 13.69/8.90 inference(monotonicity,[status(thm)],[1668])).
% 13.69/8.90 tff(1670,plain,
% 13.69/8.90 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB71, constB72)) | (v101(constB72) <=> (~((~v102(constB72)) | (~v1(constB72))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB71, constB72)) | (v101(constB72) <=> (~((~v1(constB72)) | (~v102(constB72))))))),
% 13.69/8.90 inference(transitivity,[status(thm)],[1669, 1667])).
% 13.69/8.90 tff(1671,plain,
% 13.69/8.90 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB71, constB72)) | (v101(constB72) <=> (~((~v102(constB72)) | (~v1(constB72))))))),
% 13.69/8.90 inference(quant_inst,[status(thm)],[])).
% 13.69/8.90 tff(1672,plain,
% 13.69/8.90 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB71, constB72)) | (v101(constB72) <=> (~((~v1(constB72)) | (~v102(constB72)))))),
% 13.69/8.90 inference(modus_ponens,[status(thm)],[1671, 1670])).
% 13.69/8.90 tff(1673,plain,
% 13.69/8.90 (v101(constB72) <=> (~((~v1(constB72)) | (~v102(constB72))))),
% 13.69/8.90 inference(unit_resolution,[status(thm)],[1672, 1662, 450])).
% 13.69/8.90 tff(1674,plain,
% 13.69/8.90 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | ((~nextState(constB71, constB72)) | ((~v102(constB72)) <=> v104(constB72)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | (~nextState(constB71, constB72)) | ((~v102(constB72)) <=> v104(constB72)))),
% 13.69/8.91 inference(rewrite,[status(thm)],[])).
% 13.69/8.91 tff(1675,plain,
% 13.69/8.91 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | ((~nextState(constB71, constB72)) | ((~v102(constB72)) <=> v104(constB72)))),
% 13.69/8.91 inference(quant_inst,[status(thm)],[])).
% 13.69/8.91 tff(1676,plain,
% 13.69/8.91 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | (~nextState(constB71, constB72)) | ((~v102(constB72)) <=> v104(constB72))),
% 13.69/8.91 inference(modus_ponens,[status(thm)],[1675, 1674])).
% 13.69/8.91 tff(1677,plain,
% 13.69/8.91 ((~v102(constB72)) <=> v104(constB72)),
% 13.69/8.91 inference(unit_resolution,[status(thm)],[1676, 1662, 512])).
% 13.69/8.91 tff(1678,plain,
% 13.69/8.91 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB71, constB72)) | (v104(constB72) <=> v1(constB71)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | (~nextState(constB71, constB72)) | (v104(constB72) <=> v1(constB71)))),
% 13.69/8.91 inference(rewrite,[status(thm)],[])).
% 13.69/8.91 tff(1679,plain,
% 13.69/8.91 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB71, constB72)) | (v104(constB72) <=> v1(constB71)))),
% 13.69/8.91 inference(quant_inst,[status(thm)],[])).
% 13.69/8.91 tff(1680,plain,
% 13.69/8.91 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | (~nextState(constB71, constB72)) | (v104(constB72) <=> v1(constB71))),
% 13.69/8.91 inference(modus_ponens,[status(thm)],[1679, 1678])).
% 13.69/8.91 tff(1681,plain,
% 13.69/8.91 (v104(constB72) <=> v1(constB71)),
% 13.69/8.91 inference(unit_resolution,[status(thm)],[1680, 1662, 526])).
% 13.69/8.91 tff(1682,plain,
% 13.69/8.91 ((~v1(constB71)) <=> (~v1(constB71))),
% 13.69/8.91 inference(rewrite,[status(thm)],[])).
% 13.69/8.91 tff(1683,axiom,(~v1(constB71)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_71')).
% 13.69/8.91 tff(1684,plain,
% 13.69/8.91 (~v1(constB71)),
% 13.69/8.91 inference(modus_ponens,[status(thm)],[1683, 1682])).
% 13.69/8.91 tff(1685,plain,
% 13.69/8.91 ((~(v104(constB72) <=> v1(constB71))) | (~v104(constB72)) | v1(constB71)),
% 13.69/8.91 inference(tautology,[status(thm)],[])).
% 13.69/8.91 tff(1686,plain,
% 13.69/8.91 ((~(v104(constB72) <=> v1(constB71))) | (~v104(constB72))),
% 13.69/8.91 inference(unit_resolution,[status(thm)],[1685, 1684])).
% 13.69/8.91 tff(1687,plain,
% 13.69/8.91 (~v104(constB72)),
% 13.69/8.91 inference(unit_resolution,[status(thm)],[1686, 1681])).
% 13.69/8.91 tff(1688,plain,
% 13.69/8.91 ((~((~v102(constB72)) <=> v104(constB72))) | v102(constB72) | v104(constB72)),
% 13.69/8.91 inference(tautology,[status(thm)],[])).
% 13.69/8.91 tff(1689,plain,
% 13.69/8.91 (v102(constB72)),
% 13.69/8.91 inference(unit_resolution,[status(thm)],[1688, 1687, 1677])).
% 13.69/8.91 tff(1690,plain,
% 13.69/8.91 (v1(constB72) <=> v1(constB72)),
% 13.69/8.91 inference(rewrite,[status(thm)],[])).
% 13.69/8.91 tff(1691,axiom,(v1(constB72)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_72')).
% 13.69/8.91 tff(1692,plain,
% 13.69/8.91 (v1(constB72)),
% 13.69/8.91 inference(modus_ponens,[status(thm)],[1691, 1690])).
% 13.69/8.91 tff(1693,plain,
% 13.69/8.91 ((~((~v1(constB72)) | (~v102(constB72)))) | (~v1(constB72)) | (~v102(constB72))),
% 13.69/8.91 inference(tautology,[status(thm)],[])).
% 13.69/8.91 tff(1694,plain,
% 13.69/8.91 ((~((~v1(constB72)) | (~v102(constB72)))) | (~v102(constB72))),
% 13.69/8.91 inference(unit_resolution,[status(thm)],[1693, 1692])).
% 13.69/8.91 tff(1695,plain,
% 13.69/8.91 (~((~v1(constB72)) | (~v102(constB72)))),
% 13.69/8.91 inference(unit_resolution,[status(thm)],[1694, 1689])).
% 13.69/8.91 tff(1696,plain,
% 13.69/8.91 ((~(v101(constB72) <=> (~((~v1(constB72)) | (~v102(constB72)))))) | v101(constB72) | ((~v1(constB72)) | (~v102(constB72)))),
% 13.69/8.91 inference(tautology,[status(thm)],[])).
% 13.69/8.91 tff(1697,plain,
% 13.69/8.91 (v101(constB72)),
% 13.69/8.91 inference(unit_resolution,[status(thm)],[1696, 1695, 1673])).
% 13.69/8.91 tff(1698,plain,
% 13.69/8.91 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | ((~nextState(constB71, constB72)) | (v110(constB72) <=> v108(constB71)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | (~nextState(constB71, constB72)) | (v110(constB72) <=> v108(constB71)))),
% 13.69/8.91 inference(rewrite,[status(thm)],[])).
% 13.69/8.91 tff(1699,plain,
% 13.69/8.91 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | ((~nextState(constB71, constB72)) | (v110(constB72) <=> v108(constB71)))),
% 13.69/8.91 inference(quant_inst,[status(thm)],[])).
% 13.69/8.91 tff(1700,plain,
% 13.69/8.91 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | (~nextState(constB71, constB72)) | (v110(constB72) <=> v108(constB71))),
% 13.69/8.91 inference(modus_ponens,[status(thm)],[1699, 1698])).
% 13.69/8.91 tff(1701,plain,
% 13.69/8.91 (v110(constB72) <=> v108(constB71)),
% 13.69/8.91 inference(unit_resolution,[status(thm)],[1700, 1662, 556])).
% 13.69/8.91 tff(1702,plain,
% 13.69/8.91 ((~![VarCurr: $i] : (v108(VarCurr) <=> (v111(VarCurr) | v112(VarCurr)))) | (v108(constB71) <=> (v111(constB71) | v112(constB71)))),
% 13.69/8.91 inference(quant_inst,[status(thm)],[])).
% 13.69/8.91 tff(1703,plain,
% 13.69/8.91 (v108(constB71) <=> (v111(constB71) | v112(constB71))),
% 13.69/8.91 inference(unit_resolution,[status(thm)],[1702, 567])).
% 13.69/8.91 tff(1704,plain,
% 13.69/8.91 ((~![VarCurr: $i] : (v112(VarCurr) <=> (~((~v113(VarCurr)) | (~v126(VarCurr)))))) | (v112(constB71) <=> (~((~v113(constB71)) | (~v126(constB71)))))),
% 13.69/8.91 inference(quant_inst,[status(thm)],[])).
% 13.69/8.91 tff(1705,plain,
% 13.69/8.91 (v112(constB71) <=> (~((~v113(constB71)) | (~v126(constB71))))),
% 13.69/8.91 inference(unit_resolution,[status(thm)],[1704, 579])).
% 13.69/8.91 tff(1706,plain,
% 13.69/8.91 ((~![VarCurr: $i] : (v113(VarCurr) <=> (v114(VarCurr) | v125(VarCurr)))) | (v113(constB71) <=> (v114(constB71) | v125(constB71)))),
% 13.69/8.91 inference(quant_inst,[status(thm)],[])).
% 13.69/8.91 tff(1707,plain,
% 13.69/8.91 (v113(constB71) <=> (v114(constB71) | v125(constB71))),
% 13.69/8.91 inference(unit_resolution,[status(thm)],[1706, 588])).
% 13.69/8.91 tff(1708,plain,
% 13.69/8.91 ((~![VarCurr: $i] : (v114(VarCurr) <=> (v115(VarCurr) | v124(VarCurr)))) | (v114(constB71) <=> (v115(constB71) | v124(constB71)))),
% 13.69/8.91 inference(quant_inst,[status(thm)],[])).
% 13.69/8.91 tff(1709,plain,
% 13.69/8.91 (v114(constB71) <=> (v115(constB71) | v124(constB71))),
% 13.69/8.91 inference(unit_resolution,[status(thm)],[1708, 597])).
% 13.69/8.91 tff(1710,plain,
% 13.69/8.91 ((~![VarCurr: $i] : (v115(VarCurr) <=> (v116(VarCurr) | v123(VarCurr)))) | (v115(constB71) <=> (v116(constB71) | v123(constB71)))),
% 13.69/8.91 inference(quant_inst,[status(thm)],[])).
% 13.69/8.91 tff(1711,plain,
% 13.69/8.91 (v115(constB71) <=> (v116(constB71) | v123(constB71))),
% 13.69/8.91 inference(unit_resolution,[status(thm)],[1710, 606])).
% 13.69/8.91 tff(1712,plain,
% 13.69/8.91 ((~![VarCurr: $i] : (v116(VarCurr) <=> (v117(VarCurr) | v122(VarCurr)))) | (v116(constB71) <=> (v117(constB71) | v122(constB71)))),
% 13.69/8.91 inference(quant_inst,[status(thm)],[])).
% 13.69/8.91 tff(1713,plain,
% 13.69/8.91 (v116(constB71) <=> (v117(constB71) | v122(constB71))),
% 13.69/8.91 inference(unit_resolution,[status(thm)],[1712, 719])).
% 13.69/8.91 tff(1714,plain,
% 13.69/8.91 (((~![VarCurr: $i] : (v122(VarCurr) <=> (~(v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)))))) | (v122(constB71) <=> (~(v90(constB71, bitIndex2) | (~v90(constB71, bitIndex1)) | (~v90(constB71, bitIndex0)))))) <=> ((~![VarCurr: $i] : (v122(VarCurr) <=> (~(v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)))))) | (v122(constB71) <=> (~(v90(constB71, bitIndex2) | (~v90(constB71, bitIndex1)) | (~v90(constB71, bitIndex0))))))),
% 13.69/8.91 inference(rewrite,[status(thm)],[])).
% 13.69/8.91 tff(1715,plain,
% 13.69/8.91 ((v122(constB71) <=> (~(v90(constB71, bitIndex2) | (~v90(constB71, bitIndex0)) | (~v90(constB71, bitIndex1))))) <=> (v122(constB71) <=> (~(v90(constB71, bitIndex2) | (~v90(constB71, bitIndex1)) | (~v90(constB71, bitIndex0)))))),
% 13.69/8.91 inference(rewrite,[status(thm)],[])).
% 13.69/8.91 tff(1716,plain,
% 13.69/8.91 (((~![VarCurr: $i] : (v122(VarCurr) <=> (~(v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)))))) | (v122(constB71) <=> (~(v90(constB71, bitIndex2) | (~v90(constB71, bitIndex0)) | (~v90(constB71, bitIndex1)))))) <=> ((~![VarCurr: $i] : (v122(VarCurr) <=> (~(v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)))))) | (v122(constB71) <=> (~(v90(constB71, bitIndex2) | (~v90(constB71, bitIndex1)) | (~v90(constB71, bitIndex0))))))),
% 13.69/8.91 inference(monotonicity,[status(thm)],[1715])).
% 13.69/8.91 tff(1717,plain,
% 13.69/8.91 (((~![VarCurr: $i] : (v122(VarCurr) <=> (~(v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)))))) | (v122(constB71) <=> (~(v90(constB71, bitIndex2) | (~v90(constB71, bitIndex0)) | (~v90(constB71, bitIndex1)))))) <=> ((~![VarCurr: $i] : (v122(VarCurr) <=> (~(v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)))))) | (v122(constB71) <=> (~(v90(constB71, bitIndex2) | (~v90(constB71, bitIndex1)) | (~v90(constB71, bitIndex0))))))),
% 13.69/8.91 inference(transitivity,[status(thm)],[1716, 1714])).
% 13.69/8.91 tff(1718,plain,
% 13.69/8.91 ((~![VarCurr: $i] : (v122(VarCurr) <=> (~(v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)))))) | (v122(constB71) <=> (~(v90(constB71, bitIndex2) | (~v90(constB71, bitIndex0)) | (~v90(constB71, bitIndex1)))))),
% 13.69/8.91 inference(quant_inst,[status(thm)],[])).
% 13.69/8.91 tff(1719,plain,
% 13.69/8.91 ((~![VarCurr: $i] : (v122(VarCurr) <=> (~(v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)))))) | (v122(constB71) <=> (~(v90(constB71, bitIndex2) | (~v90(constB71, bitIndex1)) | (~v90(constB71, bitIndex0)))))),
% 13.69/8.91 inference(modus_ponens,[status(thm)],[1718, 1717])).
% 13.69/8.91 tff(1720,plain,
% 13.69/8.91 (v122(constB71) <=> (~(v90(constB71, bitIndex2) | (~v90(constB71, bitIndex1)) | (~v90(constB71, bitIndex0))))),
% 13.69/8.91 inference(unit_resolution,[status(thm)],[1719, 734])).
% 13.69/8.91 tff(1721,plain,
% 13.69/8.91 (nextState(constB70, constB71) <=> nextState(constB70, constB71)),
% 13.69/8.91 inference(rewrite,[status(thm)],[])).
% 13.69/8.91 tff(1722,axiom,(nextState(constB70, constB71)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_70')).
% 13.69/8.91 tff(1723,plain,
% 13.69/8.91 (nextState(constB70, constB71)),
% 13.69/8.91 inference(modus_ponens,[status(thm)],[1722, 1721])).
% 13.69/8.91 tff(1724,plain,
% 13.69/8.91 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB70, constB71)) | (v100(constB71) <=> (~((~v101(constB71)) | (~v110(constB71))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB70, constB71)) | (v100(constB71) <=> (~((~v101(constB71)) | (~v110(constB71))))))),
% 13.69/8.91 inference(rewrite,[status(thm)],[])).
% 13.69/8.91 tff(1725,plain,
% 13.69/8.91 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB70, constB71)) | (v100(constB71) <=> (~((~v101(constB71)) | (~v110(constB71))))))),
% 13.69/8.91 inference(quant_inst,[status(thm)],[])).
% 13.69/8.91 tff(1726,plain,
% 13.69/8.91 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB70, constB71)) | (v100(constB71) <=> (~((~v101(constB71)) | (~v110(constB71)))))),
% 13.69/8.91 inference(modus_ponens,[status(thm)],[1725, 1724])).
% 13.69/8.91 tff(1727,plain,
% 13.69/8.91 (v100(constB71) <=> (~((~v101(constB71)) | (~v110(constB71))))),
% 13.69/8.91 inference(unit_resolution,[status(thm)],[1726, 1723, 430])).
% 13.69/8.91 tff(1728,plain,
% 13.69/8.91 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB70, constB71)) | (v101(constB71) <=> (~((~v1(constB71)) | (~v102(constB71))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB70, constB71)) | (v101(constB71) <=> (~((~v1(constB71)) | (~v102(constB71))))))),
% 13.69/8.91 inference(rewrite,[status(thm)],[])).
% 13.69/8.91 tff(1729,plain,
% 13.69/8.91 (((~nextState(constB70, constB71)) | (v101(constB71) <=> (~((~v102(constB71)) | (~v1(constB71)))))) <=> ((~nextState(constB70, constB71)) | (v101(constB71) <=> (~((~v1(constB71)) | (~v102(constB71))))))),
% 13.69/8.91 inference(rewrite,[status(thm)],[])).
% 13.69/8.91 tff(1730,plain,
% 13.69/8.91 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB70, constB71)) | (v101(constB71) <=> (~((~v102(constB71)) | (~v1(constB71))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB70, constB71)) | (v101(constB71) <=> (~((~v1(constB71)) | (~v102(constB71)))))))),
% 13.69/8.91 inference(monotonicity,[status(thm)],[1729])).
% 13.69/8.91 tff(1731,plain,
% 13.69/8.91 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB70, constB71)) | (v101(constB71) <=> (~((~v102(constB71)) | (~v1(constB71))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB70, constB71)) | (v101(constB71) <=> (~((~v1(constB71)) | (~v102(constB71))))))),
% 13.69/8.91 inference(transitivity,[status(thm)],[1730, 1728])).
% 13.69/8.91 tff(1732,plain,
% 13.69/8.91 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB70, constB71)) | (v101(constB71) <=> (~((~v102(constB71)) | (~v1(constB71))))))),
% 13.69/8.92 inference(quant_inst,[status(thm)],[])).
% 13.69/8.92 tff(1733,plain,
% 13.69/8.92 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB70, constB71)) | (v101(constB71) <=> (~((~v1(constB71)) | (~v102(constB71)))))),
% 13.69/8.92 inference(modus_ponens,[status(thm)],[1732, 1731])).
% 13.69/8.92 tff(1734,plain,
% 13.69/8.92 (v101(constB71) <=> (~((~v1(constB71)) | (~v102(constB71))))),
% 13.69/8.92 inference(unit_resolution,[status(thm)],[1733, 1723, 450])).
% 13.69/8.92 tff(1735,plain,
% 13.69/8.92 (((~v1(constB71)) | (~v102(constB71))) | v1(constB71)),
% 13.69/8.92 inference(tautology,[status(thm)],[])).
% 13.69/8.92 tff(1736,plain,
% 13.69/8.92 ((~v1(constB71)) | (~v102(constB71))),
% 13.69/8.92 inference(unit_resolution,[status(thm)],[1735, 1684])).
% 13.69/8.92 tff(1737,plain,
% 13.69/8.92 ((~(v101(constB71) <=> (~((~v1(constB71)) | (~v102(constB71)))))) | (~v101(constB71)) | (~((~v1(constB71)) | (~v102(constB71))))),
% 13.69/8.92 inference(tautology,[status(thm)],[])).
% 13.69/8.92 tff(1738,plain,
% 13.69/8.92 ((~(v101(constB71) <=> (~((~v1(constB71)) | (~v102(constB71)))))) | (~v101(constB71))),
% 13.69/8.92 inference(unit_resolution,[status(thm)],[1737, 1736])).
% 13.69/8.92 tff(1739,plain,
% 13.69/8.92 (~v101(constB71)),
% 13.69/8.92 inference(unit_resolution,[status(thm)],[1738, 1734])).
% 13.69/8.92 tff(1740,plain,
% 13.69/8.92 (((~v101(constB71)) | (~v110(constB71))) | v101(constB71)),
% 13.69/8.92 inference(tautology,[status(thm)],[])).
% 13.69/8.92 tff(1741,plain,
% 13.69/8.92 ((~v101(constB71)) | (~v110(constB71))),
% 13.69/8.92 inference(unit_resolution,[status(thm)],[1740, 1739])).
% 13.69/8.92 tff(1742,plain,
% 13.69/8.92 ((~(v100(constB71) <=> (~((~v101(constB71)) | (~v110(constB71)))))) | (~v100(constB71)) | (~((~v101(constB71)) | (~v110(constB71))))),
% 13.69/8.92 inference(tautology,[status(thm)],[])).
% 13.69/8.92 tff(1743,plain,
% 13.69/8.92 (~v100(constB71)),
% 13.69/8.92 inference(unit_resolution,[status(thm)],[1742, 1741, 1727])).
% 13.69/8.92 tff(1744,plain,
% 13.69/8.92 (((~![VarCurr: $i, VarNext: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v90(VarCurr, B))))) | (v100(constB71) | (~nextState(constB70, constB71)) | ![B: $i] : ((~less_3(B)) | (v90(constB71, B) <=> v90(constB70, B))))) <=> ((~![VarCurr: $i, VarNext: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v90(VarCurr, B))))) | v100(constB71) | (~nextState(constB70, constB71)) | ![B: $i] : ((~less_3(B)) | (v90(constB71, B) <=> v90(constB70, B))))),
% 13.69/8.92 inference(rewrite,[status(thm)],[])).
% 13.69/8.92 tff(1745,plain,
% 13.69/8.92 ((~![VarCurr: $i, VarNext: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v90(VarCurr, B))))) | (v100(constB71) | (~nextState(constB70, constB71)) | ![B: $i] : ((~less_3(B)) | (v90(constB71, B) <=> v90(constB70, B))))),
% 13.69/8.92 inference(quant_inst,[status(thm)],[])).
% 13.69/8.92 tff(1746,plain,
% 13.69/8.92 ((~![VarCurr: $i, VarNext: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v90(VarCurr, B))))) | v100(constB71) | (~nextState(constB70, constB71)) | ![B: $i] : ((~less_3(B)) | (v90(constB71, B) <=> v90(constB70, B)))),
% 13.69/8.92 inference(modus_ponens,[status(thm)],[1745, 1744])).
% 13.69/8.92 tff(1747,plain,
% 13.69/8.92 (v100(constB71) | ![B: $i] : ((~less_3(B)) | (v90(constB71, B) <=> v90(constB70, B)))),
% 13.69/8.92 inference(unit_resolution,[status(thm)],[1746, 1723, 479])).
% 13.69/8.92 tff(1748,plain,
% 13.69/8.92 (![B: $i] : ((~less_3(B)) | (v90(constB71, B) <=> v90(constB70, B)))),
% 13.69/8.92 inference(unit_resolution,[status(thm)],[1747, 1743])).
% 13.69/8.92 tff(1749,plain,
% 13.69/8.92 (((~![B: $i] : ((~less_3(B)) | (v90(constB71, B) <=> v90(constB70, B)))) | ((~less_3(bitIndex2)) | (v90(constB71, bitIndex2) <=> v90(constB70, bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v90(constB71, B) <=> v90(constB70, B)))) | (~less_3(bitIndex2)) | (v90(constB71, bitIndex2) <=> v90(constB70, bitIndex2)))),
% 13.69/8.92 inference(rewrite,[status(thm)],[])).
% 13.69/8.92 tff(1750,plain,
% 13.69/8.92 ((~![B: $i] : ((~less_3(B)) | (v90(constB71, B) <=> v90(constB70, B)))) | ((~less_3(bitIndex2)) | (v90(constB71, bitIndex2) <=> v90(constB70, bitIndex2)))),
% 13.69/8.92 inference(quant_inst,[status(thm)],[])).
% 13.69/8.92 tff(1751,plain,
% 13.69/8.92 ((~![B: $i] : ((~less_3(B)) | (v90(constB71, B) <=> v90(constB70, B)))) | (~less_3(bitIndex2)) | (v90(constB71, bitIndex2) <=> v90(constB70, bitIndex2))),
% 13.69/8.92 inference(modus_ponens,[status(thm)],[1750, 1749])).
% 13.69/8.92 tff(1752,plain,
% 13.69/8.92 (v90(constB71, bitIndex2) <=> v90(constB70, bitIndex2)),
% 13.69/8.92 inference(unit_resolution,[status(thm)],[1751, 413, 1748])).
% 13.69/8.92 tff(1753,plain,
% 13.69/8.92 (nextState(constB69, constB70) <=> nextState(constB69, constB70)),
% 13.69/8.92 inference(rewrite,[status(thm)],[])).
% 13.69/8.92 tff(1754,axiom,(nextState(constB69, constB70)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_69')).
% 13.69/8.92 tff(1755,plain,
% 13.69/8.92 (nextState(constB69, constB70)),
% 13.69/8.92 inference(modus_ponens,[status(thm)],[1754, 1753])).
% 13.69/8.92 tff(1756,plain,
% 13.69/8.92 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB69, constB70)) | (v100(constB70) <=> (~((~v101(constB70)) | (~v110(constB70))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB69, constB70)) | (v100(constB70) <=> (~((~v101(constB70)) | (~v110(constB70))))))),
% 13.69/8.92 inference(rewrite,[status(thm)],[])).
% 13.69/8.92 tff(1757,plain,
% 13.69/8.92 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB69, constB70)) | (v100(constB70) <=> (~((~v101(constB70)) | (~v110(constB70))))))),
% 13.69/8.92 inference(quant_inst,[status(thm)],[])).
% 13.69/8.92 tff(1758,plain,
% 13.69/8.92 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB69, constB70)) | (v100(constB70) <=> (~((~v101(constB70)) | (~v110(constB70)))))),
% 13.69/8.92 inference(modus_ponens,[status(thm)],[1757, 1756])).
% 13.69/8.92 tff(1759,plain,
% 13.69/8.92 (v100(constB70) <=> (~((~v101(constB70)) | (~v110(constB70))))),
% 13.69/8.92 inference(unit_resolution,[status(thm)],[1758, 1755, 430])).
% 13.69/8.92 tff(1760,plain,
% 13.69/8.92 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB69, constB70)) | (v101(constB70) <=> (~((~v1(constB70)) | (~v102(constB70))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB69, constB70)) | (v101(constB70) <=> (~((~v1(constB70)) | (~v102(constB70))))))),
% 13.69/8.92 inference(rewrite,[status(thm)],[])).
% 13.69/8.92 tff(1761,plain,
% 13.69/8.92 (((~nextState(constB69, constB70)) | (v101(constB70) <=> (~((~v102(constB70)) | (~v1(constB70)))))) <=> ((~nextState(constB69, constB70)) | (v101(constB70) <=> (~((~v1(constB70)) | (~v102(constB70))))))),
% 13.69/8.92 inference(rewrite,[status(thm)],[])).
% 13.69/8.92 tff(1762,plain,
% 13.69/8.92 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB69, constB70)) | (v101(constB70) <=> (~((~v102(constB70)) | (~v1(constB70))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB69, constB70)) | (v101(constB70) <=> (~((~v1(constB70)) | (~v102(constB70)))))))),
% 13.69/8.92 inference(monotonicity,[status(thm)],[1761])).
% 13.69/8.92 tff(1763,plain,
% 13.69/8.92 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB69, constB70)) | (v101(constB70) <=> (~((~v102(constB70)) | (~v1(constB70))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB69, constB70)) | (v101(constB70) <=> (~((~v1(constB70)) | (~v102(constB70))))))),
% 13.69/8.92 inference(transitivity,[status(thm)],[1762, 1760])).
% 13.69/8.92 tff(1764,plain,
% 13.69/8.92 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB69, constB70)) | (v101(constB70) <=> (~((~v102(constB70)) | (~v1(constB70))))))),
% 13.69/8.92 inference(quant_inst,[status(thm)],[])).
% 13.69/8.92 tff(1765,plain,
% 13.69/8.92 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB69, constB70)) | (v101(constB70) <=> (~((~v1(constB70)) | (~v102(constB70)))))),
% 13.69/8.92 inference(modus_ponens,[status(thm)],[1764, 1763])).
% 13.69/8.92 tff(1766,plain,
% 13.69/8.92 (v101(constB70) <=> (~((~v1(constB70)) | (~v102(constB70))))),
% 13.69/8.92 inference(unit_resolution,[status(thm)],[1765, 1755, 450])).
% 13.69/8.92 tff(1767,plain,
% 13.69/8.92 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | ((~nextState(constB69, constB70)) | ((~v102(constB70)) <=> v104(constB70)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | (~nextState(constB69, constB70)) | ((~v102(constB70)) <=> v104(constB70)))),
% 13.69/8.92 inference(rewrite,[status(thm)],[])).
% 13.69/8.92 tff(1768,plain,
% 13.69/8.92 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | ((~nextState(constB69, constB70)) | ((~v102(constB70)) <=> v104(constB70)))),
% 13.69/8.92 inference(quant_inst,[status(thm)],[])).
% 13.69/8.92 tff(1769,plain,
% 13.69/8.92 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | (~nextState(constB69, constB70)) | ((~v102(constB70)) <=> v104(constB70))),
% 13.69/8.92 inference(modus_ponens,[status(thm)],[1768, 1767])).
% 13.69/8.92 tff(1770,plain,
% 13.69/8.92 ((~v102(constB70)) <=> v104(constB70)),
% 13.69/8.92 inference(unit_resolution,[status(thm)],[1769, 1755, 512])).
% 13.69/8.92 tff(1771,plain,
% 13.69/8.92 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB69, constB70)) | (v104(constB70) <=> v1(constB69)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | (~nextState(constB69, constB70)) | (v104(constB70) <=> v1(constB69)))),
% 13.69/8.92 inference(rewrite,[status(thm)],[])).
% 13.69/8.92 tff(1772,plain,
% 13.69/8.92 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB69, constB70)) | (v104(constB70) <=> v1(constB69)))),
% 13.69/8.92 inference(quant_inst,[status(thm)],[])).
% 13.69/8.92 tff(1773,plain,
% 13.69/8.92 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | (~nextState(constB69, constB70)) | (v104(constB70) <=> v1(constB69))),
% 13.69/8.92 inference(modus_ponens,[status(thm)],[1772, 1771])).
% 13.69/8.92 tff(1774,plain,
% 13.69/8.92 (v104(constB70) <=> v1(constB69)),
% 13.69/8.92 inference(unit_resolution,[status(thm)],[1773, 1755, 526])).
% 13.69/8.92 tff(1775,plain,
% 13.69/8.92 ((~v1(constB69)) <=> (~v1(constB69))),
% 13.69/8.92 inference(rewrite,[status(thm)],[])).
% 13.69/8.92 tff(1776,axiom,(~v1(constB69)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_69')).
% 13.69/8.92 tff(1777,plain,
% 13.69/8.92 (~v1(constB69)),
% 13.69/8.92 inference(modus_ponens,[status(thm)],[1776, 1775])).
% 13.69/8.92 tff(1778,plain,
% 13.69/8.92 ((~(v104(constB70) <=> v1(constB69))) | (~v104(constB70)) | v1(constB69)),
% 13.69/8.92 inference(tautology,[status(thm)],[])).
% 13.69/8.92 tff(1779,plain,
% 13.69/8.92 ((~(v104(constB70) <=> v1(constB69))) | (~v104(constB70))),
% 13.69/8.92 inference(unit_resolution,[status(thm)],[1778, 1777])).
% 13.69/8.92 tff(1780,plain,
% 13.69/8.92 (~v104(constB70)),
% 13.69/8.92 inference(unit_resolution,[status(thm)],[1779, 1774])).
% 13.69/8.92 tff(1781,plain,
% 13.69/8.92 ((~((~v102(constB70)) <=> v104(constB70))) | v102(constB70) | v104(constB70)),
% 13.69/8.92 inference(tautology,[status(thm)],[])).
% 13.69/8.92 tff(1782,plain,
% 13.69/8.92 (v102(constB70)),
% 13.69/8.92 inference(unit_resolution,[status(thm)],[1781, 1780, 1770])).
% 13.69/8.92 tff(1783,plain,
% 13.69/8.92 (v1(constB70) <=> v1(constB70)),
% 13.69/8.92 inference(rewrite,[status(thm)],[])).
% 13.69/8.92 tff(1784,axiom,(v1(constB70)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_70')).
% 13.69/8.92 tff(1785,plain,
% 13.69/8.92 (v1(constB70)),
% 13.69/8.92 inference(modus_ponens,[status(thm)],[1784, 1783])).
% 13.69/8.92 tff(1786,plain,
% 13.69/8.92 ((~((~v1(constB70)) | (~v102(constB70)))) | (~v1(constB70)) | (~v102(constB70))),
% 13.69/8.92 inference(tautology,[status(thm)],[])).
% 13.69/8.92 tff(1787,plain,
% 13.69/8.92 ((~((~v1(constB70)) | (~v102(constB70)))) | (~v102(constB70))),
% 13.69/8.92 inference(unit_resolution,[status(thm)],[1786, 1785])).
% 13.69/8.92 tff(1788,plain,
% 13.69/8.92 (~((~v1(constB70)) | (~v102(constB70)))),
% 13.69/8.92 inference(unit_resolution,[status(thm)],[1787, 1782])).
% 13.69/8.92 tff(1789,plain,
% 13.69/8.92 ((~(v101(constB70) <=> (~((~v1(constB70)) | (~v102(constB70)))))) | v101(constB70) | ((~v1(constB70)) | (~v102(constB70)))),
% 13.69/8.92 inference(tautology,[status(thm)],[])).
% 13.69/8.92 tff(1790,plain,
% 13.69/8.92 (v101(constB70)),
% 13.69/8.92 inference(unit_resolution,[status(thm)],[1789, 1788, 1766])).
% 13.69/8.92 tff(1791,plain,
% 13.69/8.92 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | ((~nextState(constB69, constB70)) | (v110(constB70) <=> v108(constB69)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | (~nextState(constB69, constB70)) | (v110(constB70) <=> v108(constB69)))),
% 13.69/8.92 inference(rewrite,[status(thm)],[])).
% 13.69/8.92 tff(1792,plain,
% 13.69/8.92 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | ((~nextState(constB69, constB70)) | (v110(constB70) <=> v108(constB69)))),
% 13.69/8.92 inference(quant_inst,[status(thm)],[])).
% 13.69/8.92 tff(1793,plain,
% 13.69/8.92 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | (~nextState(constB69, constB70)) | (v110(constB70) <=> v108(constB69))),
% 13.69/8.92 inference(modus_ponens,[status(thm)],[1792, 1791])).
% 13.69/8.92 tff(1794,plain,
% 13.69/8.92 (v110(constB70) <=> v108(constB69)),
% 13.69/8.92 inference(unit_resolution,[status(thm)],[1793, 1755, 556])).
% 13.69/8.92 tff(1795,plain,
% 13.69/8.92 ((~![VarCurr: $i] : (v108(VarCurr) <=> (v111(VarCurr) | v112(VarCurr)))) | (v108(constB69) <=> (v111(constB69) | v112(constB69)))),
% 13.69/8.92 inference(quant_inst,[status(thm)],[])).
% 13.69/8.92 tff(1796,plain,
% 13.69/8.92 (v108(constB69) <=> (v111(constB69) | v112(constB69))),
% 13.69/8.92 inference(unit_resolution,[status(thm)],[1795, 567])).
% 13.69/8.92 tff(1797,plain,
% 13.69/8.92 ((~![VarCurr: $i] : (v112(VarCurr) <=> (~((~v113(VarCurr)) | (~v126(VarCurr)))))) | (v112(constB69) <=> (~((~v113(constB69)) | (~v126(constB69)))))),
% 13.69/8.92 inference(quant_inst,[status(thm)],[])).
% 13.69/8.92 tff(1798,plain,
% 13.69/8.92 (v112(constB69) <=> (~((~v113(constB69)) | (~v126(constB69))))),
% 13.69/8.92 inference(unit_resolution,[status(thm)],[1797, 579])).
% 13.69/8.92 tff(1799,plain,
% 13.69/8.92 ((~![VarCurr: $i] : (v113(VarCurr) <=> (v114(VarCurr) | v125(VarCurr)))) | (v113(constB69) <=> (v114(constB69) | v125(constB69)))),
% 13.69/8.92 inference(quant_inst,[status(thm)],[])).
% 13.69/8.92 tff(1800,plain,
% 13.69/8.92 (v113(constB69) <=> (v114(constB69) | v125(constB69))),
% 13.69/8.92 inference(unit_resolution,[status(thm)],[1799, 588])).
% 13.69/8.92 tff(1801,plain,
% 13.69/8.92 ((~![VarCurr: $i] : (v114(VarCurr) <=> (v115(VarCurr) | v124(VarCurr)))) | (v114(constB69) <=> (v115(constB69) | v124(constB69)))),
% 13.69/8.92 inference(quant_inst,[status(thm)],[])).
% 13.69/8.92 tff(1802,plain,
% 13.69/8.92 (v114(constB69) <=> (v115(constB69) | v124(constB69))),
% 13.69/8.92 inference(unit_resolution,[status(thm)],[1801, 597])).
% 13.69/8.92 tff(1803,plain,
% 13.69/8.92 ((~![VarCurr: $i] : (v115(VarCurr) <=> (v116(VarCurr) | v123(VarCurr)))) | (v115(constB69) <=> (v116(constB69) | v123(constB69)))),
% 13.69/8.92 inference(quant_inst,[status(thm)],[])).
% 13.69/8.92 tff(1804,plain,
% 13.69/8.92 (v115(constB69) <=> (v116(constB69) | v123(constB69))),
% 13.69/8.92 inference(unit_resolution,[status(thm)],[1803, 606])).
% 13.69/8.92 tff(1805,plain,
% 13.69/8.92 ((~![VarCurr: $i] : (v116(VarCurr) <=> (v117(VarCurr) | v122(VarCurr)))) | (v116(constB69) <=> (v117(constB69) | v122(constB69)))),
% 13.69/8.92 inference(quant_inst,[status(thm)],[])).
% 13.69/8.92 tff(1806,plain,
% 13.69/8.92 (v116(constB69) <=> (v117(constB69) | v122(constB69))),
% 13.69/8.92 inference(unit_resolution,[status(thm)],[1805, 719])).
% 13.69/8.92 tff(1807,plain,
% 13.69/8.92 ((~![VarCurr: $i] : (v117(VarCurr) <=> (v118(VarCurr) | v121(VarCurr)))) | (v117(constB69) <=> (v118(constB69) | v121(constB69)))),
% 13.69/8.92 inference(quant_inst,[status(thm)],[])).
% 13.69/8.92 tff(1808,plain,
% 13.69/8.92 (v117(constB69) <=> (v118(constB69) | v121(constB69))),
% 13.69/8.92 inference(unit_resolution,[status(thm)],[1807, 834])).
% 13.69/8.92 tff(1809,plain,
% 13.69/8.92 (((~![VarCurr: $i] : (v121(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex1)))))) | (v121(constB69) <=> (~(v90(constB69, bitIndex2) | (~v90(constB69, bitIndex1)) | v90(constB69, bitIndex0))))) <=> ((~![VarCurr: $i] : (v121(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex1)))))) | (v121(constB69) <=> (~(v90(constB69, bitIndex2) | (~v90(constB69, bitIndex1)) | v90(constB69, bitIndex0)))))),
% 13.69/8.92 inference(rewrite,[status(thm)],[])).
% 13.69/8.92 tff(1810,plain,
% 13.69/8.92 ((v121(constB69) <=> (~(v90(constB69, bitIndex0) | v90(constB69, bitIndex2) | (~v90(constB69, bitIndex1))))) <=> (v121(constB69) <=> (~(v90(constB69, bitIndex2) | (~v90(constB69, bitIndex1)) | v90(constB69, bitIndex0))))),
% 13.69/8.92 inference(rewrite,[status(thm)],[])).
% 13.69/8.92 tff(1811,plain,
% 13.69/8.92 (((~![VarCurr: $i] : (v121(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex1)))))) | (v121(constB69) <=> (~(v90(constB69, bitIndex0) | v90(constB69, bitIndex2) | (~v90(constB69, bitIndex1)))))) <=> ((~![VarCurr: $i] : (v121(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex1)))))) | (v121(constB69) <=> (~(v90(constB69, bitIndex2) | (~v90(constB69, bitIndex1)) | v90(constB69, bitIndex0)))))),
% 13.69/8.92 inference(monotonicity,[status(thm)],[1810])).
% 13.69/8.92 tff(1812,plain,
% 13.69/8.92 (((~![VarCurr: $i] : (v121(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex1)))))) | (v121(constB69) <=> (~(v90(constB69, bitIndex0) | v90(constB69, bitIndex2) | (~v90(constB69, bitIndex1)))))) <=> ((~![VarCurr: $i] : (v121(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex1)))))) | (v121(constB69) <=> (~(v90(constB69, bitIndex2) | (~v90(constB69, bitIndex1)) | v90(constB69, bitIndex0)))))),
% 13.69/8.92 inference(transitivity,[status(thm)],[1811, 1809])).
% 13.69/8.92 tff(1813,plain,
% 13.69/8.92 ((~![VarCurr: $i] : (v121(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex1)))))) | (v121(constB69) <=> (~(v90(constB69, bitIndex0) | v90(constB69, bitIndex2) | (~v90(constB69, bitIndex1)))))),
% 13.69/8.92 inference(quant_inst,[status(thm)],[])).
% 13.69/8.92 tff(1814,plain,
% 13.69/8.92 ((~![VarCurr: $i] : (v121(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex1)))))) | (v121(constB69) <=> (~(v90(constB69, bitIndex2) | (~v90(constB69, bitIndex1)) | v90(constB69, bitIndex0))))),
% 13.69/8.92 inference(modus_ponens,[status(thm)],[1813, 1812])).
% 13.69/8.92 tff(1815,plain,
% 13.69/8.92 (v121(constB69) <=> (~(v90(constB69, bitIndex2) | (~v90(constB69, bitIndex1)) | v90(constB69, bitIndex0)))),
% 13.69/8.92 inference(unit_resolution,[status(thm)],[1814, 849])).
% 13.69/8.92 tff(1816,plain,
% 13.69/8.92 (nextState(constB68, constB69) <=> nextState(constB68, constB69)),
% 13.69/8.92 inference(rewrite,[status(thm)],[])).
% 13.69/8.92 tff(1817,axiom,(nextState(constB68, constB69)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_68')).
% 13.69/8.92 tff(1818,plain,
% 13.69/8.92 (nextState(constB68, constB69)),
% 13.69/8.92 inference(modus_ponens,[status(thm)],[1817, 1816])).
% 13.69/8.92 tff(1819,plain,
% 13.69/8.92 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB68, constB69)) | (v100(constB69) <=> (~((~v101(constB69)) | (~v110(constB69))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB68, constB69)) | (v100(constB69) <=> (~((~v101(constB69)) | (~v110(constB69))))))),
% 13.69/8.92 inference(rewrite,[status(thm)],[])).
% 13.69/8.92 tff(1820,plain,
% 13.69/8.92 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB68, constB69)) | (v100(constB69) <=> (~((~v101(constB69)) | (~v110(constB69))))))),
% 13.69/8.92 inference(quant_inst,[status(thm)],[])).
% 13.69/8.92 tff(1821,plain,
% 13.69/8.92 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB68, constB69)) | (v100(constB69) <=> (~((~v101(constB69)) | (~v110(constB69)))))),
% 13.69/8.92 inference(modus_ponens,[status(thm)],[1820, 1819])).
% 13.69/8.92 tff(1822,plain,
% 13.69/8.93 (v100(constB69) <=> (~((~v101(constB69)) | (~v110(constB69))))),
% 13.69/8.93 inference(unit_resolution,[status(thm)],[1821, 1818, 430])).
% 13.69/8.93 tff(1823,plain,
% 13.69/8.93 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB68, constB69)) | (v101(constB69) <=> (~((~v1(constB69)) | (~v102(constB69))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB68, constB69)) | (v101(constB69) <=> (~((~v1(constB69)) | (~v102(constB69))))))),
% 13.69/8.93 inference(rewrite,[status(thm)],[])).
% 13.69/8.93 tff(1824,plain,
% 13.69/8.93 (((~nextState(constB68, constB69)) | (v101(constB69) <=> (~((~v102(constB69)) | (~v1(constB69)))))) <=> ((~nextState(constB68, constB69)) | (v101(constB69) <=> (~((~v1(constB69)) | (~v102(constB69))))))),
% 13.69/8.93 inference(rewrite,[status(thm)],[])).
% 13.69/8.93 tff(1825,plain,
% 13.69/8.93 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB68, constB69)) | (v101(constB69) <=> (~((~v102(constB69)) | (~v1(constB69))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB68, constB69)) | (v101(constB69) <=> (~((~v1(constB69)) | (~v102(constB69)))))))),
% 13.69/8.93 inference(monotonicity,[status(thm)],[1824])).
% 13.69/8.93 tff(1826,plain,
% 13.69/8.93 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB68, constB69)) | (v101(constB69) <=> (~((~v102(constB69)) | (~v1(constB69))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB68, constB69)) | (v101(constB69) <=> (~((~v1(constB69)) | (~v102(constB69))))))),
% 13.69/8.93 inference(transitivity,[status(thm)],[1825, 1823])).
% 13.69/8.93 tff(1827,plain,
% 13.69/8.93 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB68, constB69)) | (v101(constB69) <=> (~((~v102(constB69)) | (~v1(constB69))))))),
% 13.69/8.93 inference(quant_inst,[status(thm)],[])).
% 13.69/8.93 tff(1828,plain,
% 13.69/8.93 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB68, constB69)) | (v101(constB69) <=> (~((~v1(constB69)) | (~v102(constB69)))))),
% 13.69/8.93 inference(modus_ponens,[status(thm)],[1827, 1826])).
% 13.69/8.93 tff(1829,plain,
% 13.69/8.93 (v101(constB69) <=> (~((~v1(constB69)) | (~v102(constB69))))),
% 13.69/8.93 inference(unit_resolution,[status(thm)],[1828, 1818, 450])).
% 13.69/8.93 tff(1830,plain,
% 13.69/8.93 (((~v1(constB69)) | (~v102(constB69))) | v1(constB69)),
% 13.69/8.93 inference(tautology,[status(thm)],[])).
% 13.69/8.93 tff(1831,plain,
% 13.69/8.93 ((~v1(constB69)) | (~v102(constB69))),
% 13.69/8.93 inference(unit_resolution,[status(thm)],[1830, 1777])).
% 13.69/8.93 tff(1832,plain,
% 13.69/8.93 ((~(v101(constB69) <=> (~((~v1(constB69)) | (~v102(constB69)))))) | (~v101(constB69)) | (~((~v1(constB69)) | (~v102(constB69))))),
% 13.69/8.93 inference(tautology,[status(thm)],[])).
% 13.69/8.93 tff(1833,plain,
% 13.69/8.93 ((~(v101(constB69) <=> (~((~v1(constB69)) | (~v102(constB69)))))) | (~v101(constB69))),
% 13.69/8.93 inference(unit_resolution,[status(thm)],[1832, 1831])).
% 13.69/8.93 tff(1834,plain,
% 13.69/8.93 (~v101(constB69)),
% 13.69/8.93 inference(unit_resolution,[status(thm)],[1833, 1829])).
% 13.69/8.93 tff(1835,plain,
% 13.69/8.93 (((~v101(constB69)) | (~v110(constB69))) | v101(constB69)),
% 13.69/8.93 inference(tautology,[status(thm)],[])).
% 13.69/8.93 tff(1836,plain,
% 13.69/8.93 ((~v101(constB69)) | (~v110(constB69))),
% 13.69/8.93 inference(unit_resolution,[status(thm)],[1835, 1834])).
% 13.69/8.93 tff(1837,plain,
% 13.69/8.93 ((~(v100(constB69) <=> (~((~v101(constB69)) | (~v110(constB69)))))) | (~v100(constB69)) | (~((~v101(constB69)) | (~v110(constB69))))),
% 13.69/8.93 inference(tautology,[status(thm)],[])).
% 13.69/8.93 tff(1838,plain,
% 13.69/8.93 (~v100(constB69)),
% 13.69/8.93 inference(unit_resolution,[status(thm)],[1837, 1836, 1822])).
% 13.69/8.93 tff(1839,plain,
% 13.69/8.93 (((~![VarCurr: $i, VarNext: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v90(VarCurr, B))))) | (v100(constB69) | (~nextState(constB68, constB69)) | ![B: $i] : ((~less_3(B)) | (v90(constB69, B) <=> v90(constB68, B))))) <=> ((~![VarCurr: $i, VarNext: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v90(VarCurr, B))))) | v100(constB69) | (~nextState(constB68, constB69)) | ![B: $i] : ((~less_3(B)) | (v90(constB69, B) <=> v90(constB68, B))))),
% 13.69/8.93 inference(rewrite,[status(thm)],[])).
% 13.69/8.93 tff(1840,plain,
% 13.69/8.93 ((~![VarCurr: $i, VarNext: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v90(VarCurr, B))))) | (v100(constB69) | (~nextState(constB68, constB69)) | ![B: $i] : ((~less_3(B)) | (v90(constB69, B) <=> v90(constB68, B))))),
% 13.69/8.93 inference(quant_inst,[status(thm)],[])).
% 13.69/8.93 tff(1841,plain,
% 13.69/8.93 ((~![VarCurr: $i, VarNext: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v90(VarCurr, B))))) | v100(constB69) | (~nextState(constB68, constB69)) | ![B: $i] : ((~less_3(B)) | (v90(constB69, B) <=> v90(constB68, B)))),
% 13.69/8.93 inference(modus_ponens,[status(thm)],[1840, 1839])).
% 13.69/8.93 tff(1842,plain,
% 13.69/8.93 (v100(constB69) | ![B: $i] : ((~less_3(B)) | (v90(constB69, B) <=> v90(constB68, B)))),
% 13.69/8.93 inference(unit_resolution,[status(thm)],[1841, 1818, 479])).
% 13.69/8.93 tff(1843,plain,
% 13.69/8.93 (![B: $i] : ((~less_3(B)) | (v90(constB69, B) <=> v90(constB68, B)))),
% 13.69/8.93 inference(unit_resolution,[status(thm)],[1842, 1838])).
% 13.69/8.93 tff(1844,plain,
% 13.69/8.93 (((~![B: $i] : ((~less_3(B)) | (v90(constB69, B) <=> v90(constB68, B)))) | ((~less_3(bitIndex2)) | (v90(constB69, bitIndex2) <=> v90(constB68, bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v90(constB69, B) <=> v90(constB68, B)))) | (~less_3(bitIndex2)) | (v90(constB69, bitIndex2) <=> v90(constB68, bitIndex2)))),
% 13.69/8.93 inference(rewrite,[status(thm)],[])).
% 13.69/8.93 tff(1845,plain,
% 13.69/8.93 ((~![B: $i] : ((~less_3(B)) | (v90(constB69, B) <=> v90(constB68, B)))) | ((~less_3(bitIndex2)) | (v90(constB69, bitIndex2) <=> v90(constB68, bitIndex2)))),
% 13.69/8.93 inference(quant_inst,[status(thm)],[])).
% 13.69/8.93 tff(1846,plain,
% 13.69/8.93 ((~![B: $i] : ((~less_3(B)) | (v90(constB69, B) <=> v90(constB68, B)))) | (~less_3(bitIndex2)) | (v90(constB69, bitIndex2) <=> v90(constB68, bitIndex2))),
% 13.69/8.93 inference(modus_ponens,[status(thm)],[1845, 1844])).
% 13.69/8.93 tff(1847,plain,
% 13.69/8.93 (v90(constB69, bitIndex2) <=> v90(constB68, bitIndex2)),
% 13.69/8.93 inference(unit_resolution,[status(thm)],[1846, 413, 1843])).
% 13.69/8.93 tff(1848,plain,
% 13.69/8.93 (nextState(constB67, constB68) <=> nextState(constB67, constB68)),
% 13.69/8.93 inference(rewrite,[status(thm)],[])).
% 13.69/8.93 tff(1849,axiom,(nextState(constB67, constB68)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_67')).
% 13.69/8.93 tff(1850,plain,
% 13.69/8.93 (nextState(constB67, constB68)),
% 13.69/8.93 inference(modus_ponens,[status(thm)],[1849, 1848])).
% 13.69/8.93 tff(1851,plain,
% 13.69/8.93 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB67, constB68)) | (v100(constB68) <=> (~((~v101(constB68)) | (~v110(constB68))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB67, constB68)) | (v100(constB68) <=> (~((~v101(constB68)) | (~v110(constB68))))))),
% 13.69/8.93 inference(rewrite,[status(thm)],[])).
% 13.69/8.93 tff(1852,plain,
% 13.69/8.93 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB67, constB68)) | (v100(constB68) <=> (~((~v101(constB68)) | (~v110(constB68))))))),
% 13.69/8.93 inference(quant_inst,[status(thm)],[])).
% 13.69/8.93 tff(1853,plain,
% 13.69/8.93 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB67, constB68)) | (v100(constB68) <=> (~((~v101(constB68)) | (~v110(constB68)))))),
% 13.69/8.93 inference(modus_ponens,[status(thm)],[1852, 1851])).
% 13.69/8.93 tff(1854,plain,
% 13.69/8.93 (v100(constB68) <=> (~((~v101(constB68)) | (~v110(constB68))))),
% 13.69/8.93 inference(unit_resolution,[status(thm)],[1853, 1850, 430])).
% 13.69/8.93 tff(1855,plain,
% 13.69/8.93 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB67, constB68)) | (v101(constB68) <=> (~((~v1(constB68)) | (~v102(constB68))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB67, constB68)) | (v101(constB68) <=> (~((~v1(constB68)) | (~v102(constB68))))))),
% 13.69/8.93 inference(rewrite,[status(thm)],[])).
% 13.69/8.93 tff(1856,plain,
% 13.69/8.93 (((~nextState(constB67, constB68)) | (v101(constB68) <=> (~((~v102(constB68)) | (~v1(constB68)))))) <=> ((~nextState(constB67, constB68)) | (v101(constB68) <=> (~((~v1(constB68)) | (~v102(constB68))))))),
% 13.69/8.93 inference(rewrite,[status(thm)],[])).
% 13.69/8.93 tff(1857,plain,
% 13.69/8.93 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB67, constB68)) | (v101(constB68) <=> (~((~v102(constB68)) | (~v1(constB68))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB67, constB68)) | (v101(constB68) <=> (~((~v1(constB68)) | (~v102(constB68)))))))),
% 13.69/8.93 inference(monotonicity,[status(thm)],[1856])).
% 13.69/8.93 tff(1858,plain,
% 13.69/8.93 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB67, constB68)) | (v101(constB68) <=> (~((~v102(constB68)) | (~v1(constB68))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB67, constB68)) | (v101(constB68) <=> (~((~v1(constB68)) | (~v102(constB68))))))),
% 13.69/8.93 inference(transitivity,[status(thm)],[1857, 1855])).
% 13.69/8.93 tff(1859,plain,
% 13.69/8.93 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB67, constB68)) | (v101(constB68) <=> (~((~v102(constB68)) | (~v1(constB68))))))),
% 13.69/8.93 inference(quant_inst,[status(thm)],[])).
% 13.69/8.93 tff(1860,plain,
% 13.69/8.93 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB67, constB68)) | (v101(constB68) <=> (~((~v1(constB68)) | (~v102(constB68)))))),
% 13.69/8.93 inference(modus_ponens,[status(thm)],[1859, 1858])).
% 13.69/8.93 tff(1861,plain,
% 13.69/8.93 (v101(constB68) <=> (~((~v1(constB68)) | (~v102(constB68))))),
% 13.69/8.93 inference(unit_resolution,[status(thm)],[1860, 1850, 450])).
% 13.69/8.93 tff(1862,plain,
% 13.69/8.93 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | ((~nextState(constB67, constB68)) | ((~v102(constB68)) <=> v104(constB68)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | (~nextState(constB67, constB68)) | ((~v102(constB68)) <=> v104(constB68)))),
% 13.69/8.93 inference(rewrite,[status(thm)],[])).
% 13.69/8.93 tff(1863,plain,
% 13.69/8.93 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | ((~nextState(constB67, constB68)) | ((~v102(constB68)) <=> v104(constB68)))),
% 13.69/8.93 inference(quant_inst,[status(thm)],[])).
% 13.69/8.93 tff(1864,plain,
% 13.69/8.93 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | (~nextState(constB67, constB68)) | ((~v102(constB68)) <=> v104(constB68))),
% 13.69/8.93 inference(modus_ponens,[status(thm)],[1863, 1862])).
% 13.69/8.93 tff(1865,plain,
% 13.69/8.93 ((~v102(constB68)) <=> v104(constB68)),
% 13.69/8.93 inference(unit_resolution,[status(thm)],[1864, 1850, 512])).
% 13.69/8.93 tff(1866,plain,
% 13.69/8.93 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB67, constB68)) | (v104(constB68) <=> v1(constB67)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | (~nextState(constB67, constB68)) | (v104(constB68) <=> v1(constB67)))),
% 13.69/8.93 inference(rewrite,[status(thm)],[])).
% 13.69/8.93 tff(1867,plain,
% 13.69/8.93 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB67, constB68)) | (v104(constB68) <=> v1(constB67)))),
% 13.69/8.93 inference(quant_inst,[status(thm)],[])).
% 13.69/8.93 tff(1868,plain,
% 13.69/8.93 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | (~nextState(constB67, constB68)) | (v104(constB68) <=> v1(constB67))),
% 13.69/8.93 inference(modus_ponens,[status(thm)],[1867, 1866])).
% 13.69/8.93 tff(1869,plain,
% 13.69/8.93 (v104(constB68) <=> v1(constB67)),
% 13.69/8.93 inference(unit_resolution,[status(thm)],[1868, 1850, 526])).
% 13.69/8.93 tff(1870,plain,
% 13.69/8.93 ((~v1(constB67)) <=> (~v1(constB67))),
% 13.69/8.93 inference(rewrite,[status(thm)],[])).
% 13.69/8.93 tff(1871,axiom,(~v1(constB67)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_67')).
% 13.69/8.93 tff(1872,plain,
% 13.69/8.93 (~v1(constB67)),
% 13.69/8.93 inference(modus_ponens,[status(thm)],[1871, 1870])).
% 13.69/8.93 tff(1873,plain,
% 13.69/8.93 ((~(v104(constB68) <=> v1(constB67))) | (~v104(constB68)) | v1(constB67)),
% 13.69/8.93 inference(tautology,[status(thm)],[])).
% 13.69/8.93 tff(1874,plain,
% 13.69/8.93 ((~(v104(constB68) <=> v1(constB67))) | (~v104(constB68))),
% 13.69/8.93 inference(unit_resolution,[status(thm)],[1873, 1872])).
% 13.69/8.93 tff(1875,plain,
% 13.69/8.93 (~v104(constB68)),
% 13.69/8.93 inference(unit_resolution,[status(thm)],[1874, 1869])).
% 13.69/8.93 tff(1876,plain,
% 13.69/8.93 ((~((~v102(constB68)) <=> v104(constB68))) | v102(constB68) | v104(constB68)),
% 13.69/8.93 inference(tautology,[status(thm)],[])).
% 13.69/8.93 tff(1877,plain,
% 13.69/8.93 (v102(constB68)),
% 13.69/8.93 inference(unit_resolution,[status(thm)],[1876, 1875, 1865])).
% 13.69/8.93 tff(1878,plain,
% 13.69/8.93 (v1(constB68) <=> v1(constB68)),
% 13.69/8.93 inference(rewrite,[status(thm)],[])).
% 13.69/8.93 tff(1879,axiom,(v1(constB68)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_68')).
% 13.69/8.93 tff(1880,plain,
% 13.69/8.93 (v1(constB68)),
% 13.69/8.93 inference(modus_ponens,[status(thm)],[1879, 1878])).
% 13.69/8.93 tff(1881,plain,
% 13.69/8.93 ((~((~v1(constB68)) | (~v102(constB68)))) | (~v1(constB68)) | (~v102(constB68))),
% 13.69/8.93 inference(tautology,[status(thm)],[])).
% 13.69/8.93 tff(1882,plain,
% 13.69/8.93 ((~((~v1(constB68)) | (~v102(constB68)))) | (~v102(constB68))),
% 13.69/8.93 inference(unit_resolution,[status(thm)],[1881, 1880])).
% 13.69/8.93 tff(1883,plain,
% 13.69/8.93 (~((~v1(constB68)) | (~v102(constB68)))),
% 13.69/8.93 inference(unit_resolution,[status(thm)],[1882, 1877])).
% 13.69/8.93 tff(1884,plain,
% 13.69/8.93 ((~(v101(constB68) <=> (~((~v1(constB68)) | (~v102(constB68)))))) | v101(constB68) | ((~v1(constB68)) | (~v102(constB68)))),
% 13.69/8.93 inference(tautology,[status(thm)],[])).
% 13.69/8.93 tff(1885,plain,
% 13.69/8.93 (v101(constB68)),
% 13.69/8.93 inference(unit_resolution,[status(thm)],[1884, 1883, 1861])).
% 13.69/8.93 tff(1886,plain,
% 13.69/8.93 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | ((~nextState(constB67, constB68)) | (v110(constB68) <=> v108(constB67)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | (~nextState(constB67, constB68)) | (v110(constB68) <=> v108(constB67)))),
% 13.69/8.93 inference(rewrite,[status(thm)],[])).
% 13.69/8.93 tff(1887,plain,
% 13.69/8.93 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | ((~nextState(constB67, constB68)) | (v110(constB68) <=> v108(constB67)))),
% 13.69/8.93 inference(quant_inst,[status(thm)],[])).
% 13.69/8.93 tff(1888,plain,
% 13.69/8.93 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | (~nextState(constB67, constB68)) | (v110(constB68) <=> v108(constB67))),
% 13.69/8.93 inference(modus_ponens,[status(thm)],[1887, 1886])).
% 13.69/8.93 tff(1889,plain,
% 13.69/8.93 (v110(constB68) <=> v108(constB67)),
% 13.69/8.93 inference(unit_resolution,[status(thm)],[1888, 1850, 556])).
% 13.69/8.93 tff(1890,plain,
% 13.69/8.93 ((~![VarCurr: $i] : (v108(VarCurr) <=> (v111(VarCurr) | v112(VarCurr)))) | (v108(constB67) <=> (v111(constB67) | v112(constB67)))),
% 13.69/8.93 inference(quant_inst,[status(thm)],[])).
% 13.69/8.93 tff(1891,plain,
% 13.69/8.93 (v108(constB67) <=> (v111(constB67) | v112(constB67))),
% 13.69/8.93 inference(unit_resolution,[status(thm)],[1890, 567])).
% 13.69/8.93 tff(1892,plain,
% 13.69/8.93 ((~![VarCurr: $i] : (v112(VarCurr) <=> (~((~v113(VarCurr)) | (~v126(VarCurr)))))) | (v112(constB67) <=> (~((~v113(constB67)) | (~v126(constB67)))))),
% 13.69/8.94 inference(quant_inst,[status(thm)],[])).
% 13.69/8.94 tff(1893,plain,
% 13.69/8.94 (v112(constB67) <=> (~((~v113(constB67)) | (~v126(constB67))))),
% 13.69/8.94 inference(unit_resolution,[status(thm)],[1892, 579])).
% 13.69/8.94 tff(1894,plain,
% 13.69/8.94 ((~![VarCurr: $i] : (v113(VarCurr) <=> (v114(VarCurr) | v125(VarCurr)))) | (v113(constB67) <=> (v114(constB67) | v125(constB67)))),
% 13.69/8.94 inference(quant_inst,[status(thm)],[])).
% 13.69/8.94 tff(1895,plain,
% 13.69/8.94 (v113(constB67) <=> (v114(constB67) | v125(constB67))),
% 13.69/8.94 inference(unit_resolution,[status(thm)],[1894, 588])).
% 13.69/8.94 tff(1896,plain,
% 13.69/8.94 ((~![VarCurr: $i] : (v114(VarCurr) <=> (v115(VarCurr) | v124(VarCurr)))) | (v114(constB67) <=> (v115(constB67) | v124(constB67)))),
% 13.69/8.94 inference(quant_inst,[status(thm)],[])).
% 13.69/8.94 tff(1897,plain,
% 13.69/8.94 (v114(constB67) <=> (v115(constB67) | v124(constB67))),
% 13.69/8.94 inference(unit_resolution,[status(thm)],[1896, 597])).
% 13.69/8.94 tff(1898,plain,
% 13.69/8.94 ((~![VarCurr: $i] : (v115(VarCurr) <=> (v116(VarCurr) | v123(VarCurr)))) | (v115(constB67) <=> (v116(constB67) | v123(constB67)))),
% 13.69/8.94 inference(quant_inst,[status(thm)],[])).
% 13.69/8.94 tff(1899,plain,
% 13.69/8.94 (v115(constB67) <=> (v116(constB67) | v123(constB67))),
% 13.69/8.94 inference(unit_resolution,[status(thm)],[1898, 606])).
% 13.69/8.94 tff(1900,plain,
% 13.69/8.94 ((~![VarCurr: $i] : (v116(VarCurr) <=> (v117(VarCurr) | v122(VarCurr)))) | (v116(constB67) <=> (v117(constB67) | v122(constB67)))),
% 13.69/8.94 inference(quant_inst,[status(thm)],[])).
% 13.69/8.94 tff(1901,plain,
% 13.69/8.94 (v116(constB67) <=> (v117(constB67) | v122(constB67))),
% 13.69/8.94 inference(unit_resolution,[status(thm)],[1900, 719])).
% 13.69/8.94 tff(1902,plain,
% 13.69/8.94 ((~![VarCurr: $i] : (v117(VarCurr) <=> (v118(VarCurr) | v121(VarCurr)))) | (v117(constB67) <=> (v118(constB67) | v121(constB67)))),
% 13.69/8.94 inference(quant_inst,[status(thm)],[])).
% 13.69/8.94 tff(1903,plain,
% 13.69/8.94 (v117(constB67) <=> (v118(constB67) | v121(constB67))),
% 13.69/8.94 inference(unit_resolution,[status(thm)],[1902, 834])).
% 13.69/8.94 tff(1904,plain,
% 13.69/8.94 ((~![VarCurr: $i] : (v118(VarCurr) <=> (v119(VarCurr) | v120(VarCurr)))) | (v118(constB67) <=> (v119(constB67) | v120(constB67)))),
% 13.69/8.94 inference(quant_inst,[status(thm)],[])).
% 13.69/8.94 tff(1905,plain,
% 13.69/8.94 (v118(constB67) <=> (v119(constB67) | v120(constB67))),
% 13.69/8.94 inference(unit_resolution,[status(thm)],[1904, 951])).
% 13.69/8.94 tff(1906,plain,
% 13.69/8.94 (((~![VarCurr: $i] : (v120(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)))))) | (v120(constB67) <=> (~(v90(constB67, bitIndex2) | v90(constB67, bitIndex1) | (~v90(constB67, bitIndex0)))))) <=> ((~![VarCurr: $i] : (v120(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)))))) | (v120(constB67) <=> (~(v90(constB67, bitIndex2) | v90(constB67, bitIndex1) | (~v90(constB67, bitIndex0))))))),
% 13.69/8.94 inference(rewrite,[status(thm)],[])).
% 13.69/8.94 tff(1907,plain,
% 13.69/8.94 ((v120(constB67) <=> (~(v90(constB67, bitIndex1) | v90(constB67, bitIndex2) | (~v90(constB67, bitIndex0))))) <=> (v120(constB67) <=> (~(v90(constB67, bitIndex2) | v90(constB67, bitIndex1) | (~v90(constB67, bitIndex0)))))),
% 13.69/8.94 inference(rewrite,[status(thm)],[])).
% 13.69/8.94 tff(1908,plain,
% 13.69/8.94 (((~![VarCurr: $i] : (v120(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)))))) | (v120(constB67) <=> (~(v90(constB67, bitIndex1) | v90(constB67, bitIndex2) | (~v90(constB67, bitIndex0)))))) <=> ((~![VarCurr: $i] : (v120(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)))))) | (v120(constB67) <=> (~(v90(constB67, bitIndex2) | v90(constB67, bitIndex1) | (~v90(constB67, bitIndex0))))))),
% 13.69/8.94 inference(monotonicity,[status(thm)],[1907])).
% 13.69/8.94 tff(1909,plain,
% 13.69/8.94 (((~![VarCurr: $i] : (v120(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)))))) | (v120(constB67) <=> (~(v90(constB67, bitIndex1) | v90(constB67, bitIndex2) | (~v90(constB67, bitIndex0)))))) <=> ((~![VarCurr: $i] : (v120(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)))))) | (v120(constB67) <=> (~(v90(constB67, bitIndex2) | v90(constB67, bitIndex1) | (~v90(constB67, bitIndex0))))))),
% 13.69/8.94 inference(transitivity,[status(thm)],[1908, 1906])).
% 13.69/8.94 tff(1910,plain,
% 13.69/8.94 ((~![VarCurr: $i] : (v120(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)))))) | (v120(constB67) <=> (~(v90(constB67, bitIndex1) | v90(constB67, bitIndex2) | (~v90(constB67, bitIndex0)))))),
% 13.69/8.94 inference(quant_inst,[status(thm)],[])).
% 13.69/8.94 tff(1911,plain,
% 13.69/8.94 ((~![VarCurr: $i] : (v120(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)))))) | (v120(constB67) <=> (~(v90(constB67, bitIndex2) | v90(constB67, bitIndex1) | (~v90(constB67, bitIndex0)))))),
% 13.69/8.94 inference(modus_ponens,[status(thm)],[1910, 1909])).
% 13.69/8.94 tff(1912,plain,
% 13.69/8.94 (v120(constB67) <=> (~(v90(constB67, bitIndex2) | v90(constB67, bitIndex1) | (~v90(constB67, bitIndex0))))),
% 13.69/8.94 inference(unit_resolution,[status(thm)],[1911, 966])).
% 13.69/8.94 tff(1913,plain,
% 13.69/8.94 (nextState(constB66, constB67) <=> nextState(constB66, constB67)),
% 13.69/8.94 inference(rewrite,[status(thm)],[])).
% 13.69/8.94 tff(1914,axiom,(nextState(constB66, constB67)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_66')).
% 13.69/8.94 tff(1915,plain,
% 13.69/8.94 (nextState(constB66, constB67)),
% 13.69/8.94 inference(modus_ponens,[status(thm)],[1914, 1913])).
% 13.69/8.94 tff(1916,plain,
% 13.69/8.94 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB66, constB67)) | (v100(constB67) <=> (~((~v101(constB67)) | (~v110(constB67))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB66, constB67)) | (v100(constB67) <=> (~((~v101(constB67)) | (~v110(constB67))))))),
% 13.69/8.94 inference(rewrite,[status(thm)],[])).
% 13.69/8.94 tff(1917,plain,
% 13.69/8.94 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB66, constB67)) | (v100(constB67) <=> (~((~v101(constB67)) | (~v110(constB67))))))),
% 13.69/8.94 inference(quant_inst,[status(thm)],[])).
% 13.69/8.94 tff(1918,plain,
% 13.69/8.94 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB66, constB67)) | (v100(constB67) <=> (~((~v101(constB67)) | (~v110(constB67)))))),
% 13.69/8.94 inference(modus_ponens,[status(thm)],[1917, 1916])).
% 13.69/8.94 tff(1919,plain,
% 13.69/8.94 (v100(constB67) <=> (~((~v101(constB67)) | (~v110(constB67))))),
% 13.69/8.94 inference(unit_resolution,[status(thm)],[1918, 1915, 430])).
% 13.69/8.94 tff(1920,plain,
% 13.69/8.94 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB66, constB67)) | (v101(constB67) <=> (~((~v1(constB67)) | (~v102(constB67))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB66, constB67)) | (v101(constB67) <=> (~((~v1(constB67)) | (~v102(constB67))))))),
% 13.69/8.94 inference(rewrite,[status(thm)],[])).
% 13.69/8.94 tff(1921,plain,
% 13.69/8.94 (((~nextState(constB66, constB67)) | (v101(constB67) <=> (~((~v102(constB67)) | (~v1(constB67)))))) <=> ((~nextState(constB66, constB67)) | (v101(constB67) <=> (~((~v1(constB67)) | (~v102(constB67))))))),
% 13.69/8.94 inference(rewrite,[status(thm)],[])).
% 13.69/8.94 tff(1922,plain,
% 13.69/8.94 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB66, constB67)) | (v101(constB67) <=> (~((~v102(constB67)) | (~v1(constB67))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB66, constB67)) | (v101(constB67) <=> (~((~v1(constB67)) | (~v102(constB67)))))))),
% 13.69/8.94 inference(monotonicity,[status(thm)],[1921])).
% 13.69/8.94 tff(1923,plain,
% 13.69/8.94 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB66, constB67)) | (v101(constB67) <=> (~((~v102(constB67)) | (~v1(constB67))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB66, constB67)) | (v101(constB67) <=> (~((~v1(constB67)) | (~v102(constB67))))))),
% 13.69/8.94 inference(transitivity,[status(thm)],[1922, 1920])).
% 13.69/8.94 tff(1924,plain,
% 13.69/8.94 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB66, constB67)) | (v101(constB67) <=> (~((~v102(constB67)) | (~v1(constB67))))))),
% 13.69/8.94 inference(quant_inst,[status(thm)],[])).
% 13.69/8.94 tff(1925,plain,
% 13.69/8.94 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB66, constB67)) | (v101(constB67) <=> (~((~v1(constB67)) | (~v102(constB67)))))),
% 13.69/8.94 inference(modus_ponens,[status(thm)],[1924, 1923])).
% 13.69/8.94 tff(1926,plain,
% 13.69/8.94 (v101(constB67) <=> (~((~v1(constB67)) | (~v102(constB67))))),
% 13.69/8.94 inference(unit_resolution,[status(thm)],[1925, 1915, 450])).
% 13.69/8.94 tff(1927,plain,
% 13.69/8.94 (((~v1(constB67)) | (~v102(constB67))) | v1(constB67)),
% 13.69/8.94 inference(tautology,[status(thm)],[])).
% 13.69/8.94 tff(1928,plain,
% 13.69/8.94 ((~v1(constB67)) | (~v102(constB67))),
% 13.69/8.94 inference(unit_resolution,[status(thm)],[1927, 1872])).
% 13.69/8.94 tff(1929,plain,
% 13.69/8.94 ((~(v101(constB67) <=> (~((~v1(constB67)) | (~v102(constB67)))))) | (~v101(constB67)) | (~((~v1(constB67)) | (~v102(constB67))))),
% 13.69/8.94 inference(tautology,[status(thm)],[])).
% 13.69/8.94 tff(1930,plain,
% 13.69/8.94 ((~(v101(constB67) <=> (~((~v1(constB67)) | (~v102(constB67)))))) | (~v101(constB67))),
% 13.69/8.94 inference(unit_resolution,[status(thm)],[1929, 1928])).
% 13.69/8.94 tff(1931,plain,
% 13.69/8.94 (~v101(constB67)),
% 13.69/8.94 inference(unit_resolution,[status(thm)],[1930, 1926])).
% 13.69/8.94 tff(1932,plain,
% 13.69/8.94 (((~v101(constB67)) | (~v110(constB67))) | v101(constB67)),
% 13.69/8.94 inference(tautology,[status(thm)],[])).
% 13.69/8.94 tff(1933,plain,
% 13.69/8.94 ((~v101(constB67)) | (~v110(constB67))),
% 13.69/8.94 inference(unit_resolution,[status(thm)],[1932, 1931])).
% 13.69/8.94 tff(1934,plain,
% 13.69/8.94 ((~(v100(constB67) <=> (~((~v101(constB67)) | (~v110(constB67)))))) | (~v100(constB67)) | (~((~v101(constB67)) | (~v110(constB67))))),
% 13.69/8.94 inference(tautology,[status(thm)],[])).
% 13.69/8.94 tff(1935,plain,
% 13.69/8.94 (~v100(constB67)),
% 13.69/8.94 inference(unit_resolution,[status(thm)],[1934, 1933, 1919])).
% 13.69/8.94 tff(1936,plain,
% 13.69/8.94 (((~![VarCurr: $i, VarNext: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v90(VarCurr, B))))) | (v100(constB67) | (~nextState(constB66, constB67)) | ![B: $i] : ((~less_3(B)) | (v90(constB67, B) <=> v90(constB66, B))))) <=> ((~![VarCurr: $i, VarNext: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v90(VarCurr, B))))) | v100(constB67) | (~nextState(constB66, constB67)) | ![B: $i] : ((~less_3(B)) | (v90(constB67, B) <=> v90(constB66, B))))),
% 13.69/8.94 inference(rewrite,[status(thm)],[])).
% 13.69/8.94 tff(1937,plain,
% 13.69/8.94 ((~![VarCurr: $i, VarNext: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v90(VarCurr, B))))) | (v100(constB67) | (~nextState(constB66, constB67)) | ![B: $i] : ((~less_3(B)) | (v90(constB67, B) <=> v90(constB66, B))))),
% 13.69/8.94 inference(quant_inst,[status(thm)],[])).
% 13.69/8.94 tff(1938,plain,
% 13.69/8.94 ((~![VarCurr: $i, VarNext: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v90(VarCurr, B))))) | v100(constB67) | (~nextState(constB66, constB67)) | ![B: $i] : ((~less_3(B)) | (v90(constB67, B) <=> v90(constB66, B)))),
% 13.69/8.94 inference(modus_ponens,[status(thm)],[1937, 1936])).
% 13.69/8.94 tff(1939,plain,
% 13.69/8.94 (v100(constB67) | ![B: $i] : ((~less_3(B)) | (v90(constB67, B) <=> v90(constB66, B)))),
% 13.69/8.94 inference(unit_resolution,[status(thm)],[1938, 1915, 479])).
% 13.69/8.94 tff(1940,plain,
% 13.69/8.94 (![B: $i] : ((~less_3(B)) | (v90(constB67, B) <=> v90(constB66, B)))),
% 13.69/8.94 inference(unit_resolution,[status(thm)],[1939, 1935])).
% 13.69/8.94 tff(1941,plain,
% 13.69/8.94 (((~![B: $i] : ((~less_3(B)) | (v90(constB67, B) <=> v90(constB66, B)))) | ((~less_3(bitIndex2)) | (v90(constB67, bitIndex2) <=> v90(constB66, bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v90(constB67, B) <=> v90(constB66, B)))) | (~less_3(bitIndex2)) | (v90(constB67, bitIndex2) <=> v90(constB66, bitIndex2)))),
% 13.69/8.94 inference(rewrite,[status(thm)],[])).
% 13.69/8.94 tff(1942,plain,
% 13.69/8.94 ((~![B: $i] : ((~less_3(B)) | (v90(constB67, B) <=> v90(constB66, B)))) | ((~less_3(bitIndex2)) | (v90(constB67, bitIndex2) <=> v90(constB66, bitIndex2)))),
% 13.69/8.94 inference(quant_inst,[status(thm)],[])).
% 13.69/8.94 tff(1943,plain,
% 13.69/8.94 ((~![B: $i] : ((~less_3(B)) | (v90(constB67, B) <=> v90(constB66, B)))) | (~less_3(bitIndex2)) | (v90(constB67, bitIndex2) <=> v90(constB66, bitIndex2))),
% 13.69/8.94 inference(modus_ponens,[status(thm)],[1942, 1941])).
% 13.69/8.94 tff(1944,plain,
% 13.69/8.94 (v90(constB67, bitIndex2) <=> v90(constB66, bitIndex2)),
% 13.69/8.94 inference(unit_resolution,[status(thm)],[1943, 413, 1940])).
% 13.69/8.94 tff(1945,plain,
% 13.69/8.94 (nextState(constB65, constB66) <=> nextState(constB65, constB66)),
% 13.69/8.94 inference(rewrite,[status(thm)],[])).
% 13.69/8.94 tff(1946,axiom,(nextState(constB65, constB66)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_65')).
% 13.69/8.94 tff(1947,plain,
% 13.69/8.94 (nextState(constB65, constB66)),
% 13.69/8.94 inference(modus_ponens,[status(thm)],[1946, 1945])).
% 13.69/8.94 tff(1948,plain,
% 13.69/8.94 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB65, constB66)) | (v100(constB66) <=> (~((~v101(constB66)) | (~v110(constB66))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB65, constB66)) | (v100(constB66) <=> (~((~v101(constB66)) | (~v110(constB66))))))),
% 13.69/8.94 inference(rewrite,[status(thm)],[])).
% 13.69/8.94 tff(1949,plain,
% 13.69/8.94 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB65, constB66)) | (v100(constB66) <=> (~((~v101(constB66)) | (~v110(constB66))))))),
% 13.69/8.94 inference(quant_inst,[status(thm)],[])).
% 13.69/8.94 tff(1950,plain,
% 13.69/8.94 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB65, constB66)) | (v100(constB66) <=> (~((~v101(constB66)) | (~v110(constB66)))))),
% 13.69/8.94 inference(modus_ponens,[status(thm)],[1949, 1948])).
% 13.69/8.94 tff(1951,plain,
% 13.69/8.94 (v100(constB66) <=> (~((~v101(constB66)) | (~v110(constB66))))),
% 13.69/8.94 inference(unit_resolution,[status(thm)],[1950, 1947, 430])).
% 13.69/8.94 tff(1952,plain,
% 13.69/8.94 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB65, constB66)) | (v101(constB66) <=> (~((~v1(constB66)) | (~v102(constB66))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB65, constB66)) | (v101(constB66) <=> (~((~v1(constB66)) | (~v102(constB66))))))),
% 13.69/8.94 inference(rewrite,[status(thm)],[])).
% 13.69/8.94 tff(1953,plain,
% 13.69/8.94 (((~nextState(constB65, constB66)) | (v101(constB66) <=> (~((~v102(constB66)) | (~v1(constB66)))))) <=> ((~nextState(constB65, constB66)) | (v101(constB66) <=> (~((~v1(constB66)) | (~v102(constB66))))))),
% 13.69/8.94 inference(rewrite,[status(thm)],[])).
% 13.69/8.94 tff(1954,plain,
% 13.69/8.94 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB65, constB66)) | (v101(constB66) <=> (~((~v102(constB66)) | (~v1(constB66))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB65, constB66)) | (v101(constB66) <=> (~((~v1(constB66)) | (~v102(constB66)))))))),
% 13.69/8.94 inference(monotonicity,[status(thm)],[1953])).
% 13.69/8.94 tff(1955,plain,
% 13.69/8.94 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB65, constB66)) | (v101(constB66) <=> (~((~v102(constB66)) | (~v1(constB66))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB65, constB66)) | (v101(constB66) <=> (~((~v1(constB66)) | (~v102(constB66))))))),
% 13.69/8.95 inference(transitivity,[status(thm)],[1954, 1952])).
% 13.69/8.95 tff(1956,plain,
% 13.69/8.95 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB65, constB66)) | (v101(constB66) <=> (~((~v102(constB66)) | (~v1(constB66))))))),
% 13.69/8.95 inference(quant_inst,[status(thm)],[])).
% 13.69/8.95 tff(1957,plain,
% 13.69/8.95 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB65, constB66)) | (v101(constB66) <=> (~((~v1(constB66)) | (~v102(constB66)))))),
% 13.69/8.95 inference(modus_ponens,[status(thm)],[1956, 1955])).
% 13.69/8.95 tff(1958,plain,
% 13.69/8.95 (v101(constB66) <=> (~((~v1(constB66)) | (~v102(constB66))))),
% 13.69/8.95 inference(unit_resolution,[status(thm)],[1957, 1947, 450])).
% 13.69/8.95 tff(1959,plain,
% 13.69/8.95 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | ((~nextState(constB65, constB66)) | ((~v102(constB66)) <=> v104(constB66)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | (~nextState(constB65, constB66)) | ((~v102(constB66)) <=> v104(constB66)))),
% 13.69/8.95 inference(rewrite,[status(thm)],[])).
% 13.69/8.95 tff(1960,plain,
% 13.69/8.95 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | ((~nextState(constB65, constB66)) | ((~v102(constB66)) <=> v104(constB66)))),
% 13.69/8.95 inference(quant_inst,[status(thm)],[])).
% 13.69/8.95 tff(1961,plain,
% 13.69/8.95 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | (~nextState(constB65, constB66)) | ((~v102(constB66)) <=> v104(constB66))),
% 13.69/8.95 inference(modus_ponens,[status(thm)],[1960, 1959])).
% 13.69/8.95 tff(1962,plain,
% 13.69/8.95 ((~v102(constB66)) <=> v104(constB66)),
% 13.69/8.95 inference(unit_resolution,[status(thm)],[1961, 1947, 512])).
% 13.69/8.95 tff(1963,plain,
% 13.69/8.95 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB65, constB66)) | (v104(constB66) <=> v1(constB65)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | (~nextState(constB65, constB66)) | (v104(constB66) <=> v1(constB65)))),
% 13.69/8.95 inference(rewrite,[status(thm)],[])).
% 13.69/8.95 tff(1964,plain,
% 13.69/8.95 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB65, constB66)) | (v104(constB66) <=> v1(constB65)))),
% 13.69/8.95 inference(quant_inst,[status(thm)],[])).
% 13.69/8.95 tff(1965,plain,
% 13.69/8.95 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | (~nextState(constB65, constB66)) | (v104(constB66) <=> v1(constB65))),
% 13.69/8.95 inference(modus_ponens,[status(thm)],[1964, 1963])).
% 13.69/8.95 tff(1966,plain,
% 13.69/8.95 (v104(constB66) <=> v1(constB65)),
% 13.69/8.95 inference(unit_resolution,[status(thm)],[1965, 1947, 526])).
% 13.69/8.95 tff(1967,plain,
% 13.69/8.95 ((~v1(constB65)) <=> (~v1(constB65))),
% 13.69/8.95 inference(rewrite,[status(thm)],[])).
% 13.69/8.95 tff(1968,axiom,(~v1(constB65)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_65')).
% 13.69/8.95 tff(1969,plain,
% 13.69/8.95 (~v1(constB65)),
% 13.69/8.95 inference(modus_ponens,[status(thm)],[1968, 1967])).
% 13.69/8.95 tff(1970,plain,
% 13.69/8.95 ((~(v104(constB66) <=> v1(constB65))) | (~v104(constB66)) | v1(constB65)),
% 13.69/8.95 inference(tautology,[status(thm)],[])).
% 13.69/8.95 tff(1971,plain,
% 13.69/8.95 ((~(v104(constB66) <=> v1(constB65))) | (~v104(constB66))),
% 13.69/8.95 inference(unit_resolution,[status(thm)],[1970, 1969])).
% 13.69/8.95 tff(1972,plain,
% 13.69/8.95 (~v104(constB66)),
% 13.69/8.95 inference(unit_resolution,[status(thm)],[1971, 1966])).
% 13.69/8.95 tff(1973,plain,
% 13.69/8.95 ((~((~v102(constB66)) <=> v104(constB66))) | v102(constB66) | v104(constB66)),
% 13.69/8.95 inference(tautology,[status(thm)],[])).
% 13.69/8.95 tff(1974,plain,
% 13.69/8.95 (v102(constB66)),
% 13.69/8.95 inference(unit_resolution,[status(thm)],[1973, 1972, 1962])).
% 13.69/8.95 tff(1975,plain,
% 13.69/8.95 (v1(constB66) <=> v1(constB66)),
% 13.69/8.95 inference(rewrite,[status(thm)],[])).
% 13.69/8.95 tff(1976,axiom,(v1(constB66)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_66')).
% 13.69/8.95 tff(1977,plain,
% 13.69/8.95 (v1(constB66)),
% 13.69/8.95 inference(modus_ponens,[status(thm)],[1976, 1975])).
% 13.69/8.95 tff(1978,plain,
% 13.69/8.95 ((~((~v1(constB66)) | (~v102(constB66)))) | (~v1(constB66)) | (~v102(constB66))),
% 13.69/8.95 inference(tautology,[status(thm)],[])).
% 13.69/8.95 tff(1979,plain,
% 13.69/8.95 ((~((~v1(constB66)) | (~v102(constB66)))) | (~v102(constB66))),
% 13.69/8.95 inference(unit_resolution,[status(thm)],[1978, 1977])).
% 13.69/8.95 tff(1980,plain,
% 13.69/8.95 (~((~v1(constB66)) | (~v102(constB66)))),
% 13.69/8.95 inference(unit_resolution,[status(thm)],[1979, 1974])).
% 13.69/8.95 tff(1981,plain,
% 13.69/8.95 ((~(v101(constB66) <=> (~((~v1(constB66)) | (~v102(constB66)))))) | v101(constB66) | ((~v1(constB66)) | (~v102(constB66)))),
% 13.69/8.95 inference(tautology,[status(thm)],[])).
% 13.69/8.95 tff(1982,plain,
% 13.69/8.95 (v101(constB66)),
% 13.69/8.95 inference(unit_resolution,[status(thm)],[1981, 1980, 1958])).
% 13.69/8.95 tff(1983,plain,
% 13.69/8.95 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | ((~nextState(constB65, constB66)) | (v110(constB66) <=> v108(constB65)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | (~nextState(constB65, constB66)) | (v110(constB66) <=> v108(constB65)))),
% 13.69/8.95 inference(rewrite,[status(thm)],[])).
% 13.69/8.95 tff(1984,plain,
% 13.69/8.95 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | ((~nextState(constB65, constB66)) | (v110(constB66) <=> v108(constB65)))),
% 13.69/8.95 inference(quant_inst,[status(thm)],[])).
% 13.69/8.95 tff(1985,plain,
% 13.69/8.95 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | (~nextState(constB65, constB66)) | (v110(constB66) <=> v108(constB65))),
% 13.69/8.95 inference(modus_ponens,[status(thm)],[1984, 1983])).
% 13.69/8.95 tff(1986,plain,
% 13.69/8.95 (v110(constB66) <=> v108(constB65)),
% 13.69/8.95 inference(unit_resolution,[status(thm)],[1985, 1947, 556])).
% 13.69/8.95 tff(1987,plain,
% 13.69/8.95 ((~![VarCurr: $i] : (v108(VarCurr) <=> (v111(VarCurr) | v112(VarCurr)))) | (v108(constB65) <=> (v111(constB65) | v112(constB65)))),
% 13.69/8.95 inference(quant_inst,[status(thm)],[])).
% 13.69/8.95 tff(1988,plain,
% 13.69/8.95 (v108(constB65) <=> (v111(constB65) | v112(constB65))),
% 13.69/8.95 inference(unit_resolution,[status(thm)],[1987, 567])).
% 13.69/8.95 tff(1989,plain,
% 13.69/8.95 ((~![VarCurr: $i] : (v112(VarCurr) <=> (~((~v113(VarCurr)) | (~v126(VarCurr)))))) | (v112(constB65) <=> (~((~v113(constB65)) | (~v126(constB65)))))),
% 13.69/8.95 inference(quant_inst,[status(thm)],[])).
% 13.69/8.95 tff(1990,plain,
% 13.69/8.95 (v112(constB65) <=> (~((~v113(constB65)) | (~v126(constB65))))),
% 13.69/8.95 inference(unit_resolution,[status(thm)],[1989, 579])).
% 13.69/8.95 tff(1991,plain,
% 13.69/8.95 ((~![VarCurr: $i] : (v113(VarCurr) <=> (v114(VarCurr) | v125(VarCurr)))) | (v113(constB65) <=> (v114(constB65) | v125(constB65)))),
% 13.69/8.95 inference(quant_inst,[status(thm)],[])).
% 13.69/8.95 tff(1992,plain,
% 13.69/8.95 (v113(constB65) <=> (v114(constB65) | v125(constB65))),
% 13.69/8.95 inference(unit_resolution,[status(thm)],[1991, 588])).
% 13.69/8.95 tff(1993,plain,
% 13.69/8.95 (((~![VarCurr: $i] : (v125(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2)))))) | (v125(constB65) <=> (~((~v90(constB65, bitIndex2)) | (~v90(constB65, bitIndex1)) | v90(constB65, bitIndex0))))) <=> ((~![VarCurr: $i] : (v125(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2)))))) | (v125(constB65) <=> (~((~v90(constB65, bitIndex2)) | (~v90(constB65, bitIndex1)) | v90(constB65, bitIndex0)))))),
% 13.69/8.95 inference(rewrite,[status(thm)],[])).
% 13.69/8.95 tff(1994,plain,
% 13.69/8.95 ((v125(constB65) <=> (~(v90(constB65, bitIndex0) | (~v90(constB65, bitIndex1)) | (~v90(constB65, bitIndex2))))) <=> (v125(constB65) <=> (~((~v90(constB65, bitIndex2)) | (~v90(constB65, bitIndex1)) | v90(constB65, bitIndex0))))),
% 13.69/8.95 inference(rewrite,[status(thm)],[])).
% 13.69/8.95 tff(1995,plain,
% 13.69/8.95 (((~![VarCurr: $i] : (v125(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2)))))) | (v125(constB65) <=> (~(v90(constB65, bitIndex0) | (~v90(constB65, bitIndex1)) | (~v90(constB65, bitIndex2)))))) <=> ((~![VarCurr: $i] : (v125(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2)))))) | (v125(constB65) <=> (~((~v90(constB65, bitIndex2)) | (~v90(constB65, bitIndex1)) | v90(constB65, bitIndex0)))))),
% 13.69/8.95 inference(monotonicity,[status(thm)],[1994])).
% 13.69/8.95 tff(1996,plain,
% 13.69/8.95 (((~![VarCurr: $i] : (v125(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2)))))) | (v125(constB65) <=> (~(v90(constB65, bitIndex0) | (~v90(constB65, bitIndex1)) | (~v90(constB65, bitIndex2)))))) <=> ((~![VarCurr: $i] : (v125(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2)))))) | (v125(constB65) <=> (~((~v90(constB65, bitIndex2)) | (~v90(constB65, bitIndex1)) | v90(constB65, bitIndex0)))))),
% 13.69/8.95 inference(transitivity,[status(thm)],[1995, 1993])).
% 13.69/8.95 tff(1997,plain,
% 13.69/8.95 ((~![VarCurr: $i] : (v125(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2)))))) | (v125(constB65) <=> (~(v90(constB65, bitIndex0) | (~v90(constB65, bitIndex1)) | (~v90(constB65, bitIndex2)))))),
% 13.69/8.95 inference(quant_inst,[status(thm)],[])).
% 13.69/8.95 tff(1998,plain,
% 13.69/8.95 ((~![VarCurr: $i] : (v125(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2)))))) | (v125(constB65) <=> (~((~v90(constB65, bitIndex2)) | (~v90(constB65, bitIndex1)) | v90(constB65, bitIndex0))))),
% 13.69/8.95 inference(modus_ponens,[status(thm)],[1997, 1996])).
% 13.69/8.95 tff(1999,plain,
% 13.69/8.95 (v125(constB65) <=> (~((~v90(constB65, bitIndex2)) | (~v90(constB65, bitIndex1)) | v90(constB65, bitIndex0)))),
% 13.69/8.95 inference(unit_resolution,[status(thm)],[1998, 1066])).
% 13.69/8.95 tff(2000,plain,
% 13.69/8.95 (nextState(constB64, constB65) <=> nextState(constB64, constB65)),
% 13.69/8.95 inference(rewrite,[status(thm)],[])).
% 13.69/8.95 tff(2001,axiom,(nextState(constB64, constB65)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_64')).
% 13.69/8.95 tff(2002,plain,
% 13.69/8.95 (nextState(constB64, constB65)),
% 13.69/8.95 inference(modus_ponens,[status(thm)],[2001, 2000])).
% 13.69/8.95 tff(2003,plain,
% 13.69/8.95 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB64, constB65)) | (v100(constB65) <=> (~((~v101(constB65)) | (~v110(constB65))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB64, constB65)) | (v100(constB65) <=> (~((~v101(constB65)) | (~v110(constB65))))))),
% 13.69/8.95 inference(rewrite,[status(thm)],[])).
% 13.69/8.95 tff(2004,plain,
% 13.69/8.95 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB64, constB65)) | (v100(constB65) <=> (~((~v101(constB65)) | (~v110(constB65))))))),
% 13.69/8.95 inference(quant_inst,[status(thm)],[])).
% 13.69/8.95 tff(2005,plain,
% 13.69/8.95 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB64, constB65)) | (v100(constB65) <=> (~((~v101(constB65)) | (~v110(constB65)))))),
% 13.69/8.95 inference(modus_ponens,[status(thm)],[2004, 2003])).
% 13.69/8.95 tff(2006,plain,
% 13.69/8.95 (v100(constB65) <=> (~((~v101(constB65)) | (~v110(constB65))))),
% 13.69/8.95 inference(unit_resolution,[status(thm)],[2005, 2002, 430])).
% 13.69/8.95 tff(2007,plain,
% 13.69/8.95 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB64, constB65)) | (v101(constB65) <=> (~((~v1(constB65)) | (~v102(constB65))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB64, constB65)) | (v101(constB65) <=> (~((~v1(constB65)) | (~v102(constB65))))))),
% 13.69/8.95 inference(rewrite,[status(thm)],[])).
% 13.69/8.95 tff(2008,plain,
% 13.69/8.95 (((~nextState(constB64, constB65)) | (v101(constB65) <=> (~((~v102(constB65)) | (~v1(constB65)))))) <=> ((~nextState(constB64, constB65)) | (v101(constB65) <=> (~((~v1(constB65)) | (~v102(constB65))))))),
% 13.69/8.95 inference(rewrite,[status(thm)],[])).
% 13.69/8.95 tff(2009,plain,
% 13.69/8.95 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB64, constB65)) | (v101(constB65) <=> (~((~v102(constB65)) | (~v1(constB65))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB64, constB65)) | (v101(constB65) <=> (~((~v1(constB65)) | (~v102(constB65)))))))),
% 13.69/8.95 inference(monotonicity,[status(thm)],[2008])).
% 13.69/8.95 tff(2010,plain,
% 13.69/8.95 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB64, constB65)) | (v101(constB65) <=> (~((~v102(constB65)) | (~v1(constB65))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB64, constB65)) | (v101(constB65) <=> (~((~v1(constB65)) | (~v102(constB65))))))),
% 13.69/8.95 inference(transitivity,[status(thm)],[2009, 2007])).
% 13.69/8.95 tff(2011,plain,
% 13.69/8.95 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB64, constB65)) | (v101(constB65) <=> (~((~v102(constB65)) | (~v1(constB65))))))),
% 13.69/8.95 inference(quant_inst,[status(thm)],[])).
% 13.69/8.95 tff(2012,plain,
% 13.69/8.95 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB64, constB65)) | (v101(constB65) <=> (~((~v1(constB65)) | (~v102(constB65)))))),
% 13.69/8.95 inference(modus_ponens,[status(thm)],[2011, 2010])).
% 13.69/8.95 tff(2013,plain,
% 13.69/8.95 (v101(constB65) <=> (~((~v1(constB65)) | (~v102(constB65))))),
% 13.69/8.95 inference(unit_resolution,[status(thm)],[2012, 2002, 450])).
% 13.69/8.95 tff(2014,plain,
% 13.69/8.95 (((~v1(constB65)) | (~v102(constB65))) | v1(constB65)),
% 13.69/8.95 inference(tautology,[status(thm)],[])).
% 13.69/8.95 tff(2015,plain,
% 13.69/8.95 ((~v1(constB65)) | (~v102(constB65))),
% 13.69/8.95 inference(unit_resolution,[status(thm)],[2014, 1969])).
% 13.69/8.95 tff(2016,plain,
% 13.69/8.95 ((~(v101(constB65) <=> (~((~v1(constB65)) | (~v102(constB65)))))) | (~v101(constB65)) | (~((~v1(constB65)) | (~v102(constB65))))),
% 13.69/8.95 inference(tautology,[status(thm)],[])).
% 13.69/8.95 tff(2017,plain,
% 13.69/8.95 ((~(v101(constB65) <=> (~((~v1(constB65)) | (~v102(constB65)))))) | (~v101(constB65))),
% 13.69/8.95 inference(unit_resolution,[status(thm)],[2016, 2015])).
% 13.69/8.95 tff(2018,plain,
% 13.69/8.95 (~v101(constB65)),
% 13.69/8.95 inference(unit_resolution,[status(thm)],[2017, 2013])).
% 13.69/8.95 tff(2019,plain,
% 13.69/8.95 (((~v101(constB65)) | (~v110(constB65))) | v101(constB65)),
% 13.69/8.95 inference(tautology,[status(thm)],[])).
% 13.69/8.95 tff(2020,plain,
% 13.69/8.95 ((~v101(constB65)) | (~v110(constB65))),
% 13.69/8.95 inference(unit_resolution,[status(thm)],[2019, 2018])).
% 13.69/8.95 tff(2021,plain,
% 13.69/8.95 ((~(v100(constB65) <=> (~((~v101(constB65)) | (~v110(constB65)))))) | (~v100(constB65)) | (~((~v101(constB65)) | (~v110(constB65))))),
% 13.69/8.95 inference(tautology,[status(thm)],[])).
% 13.69/8.95 tff(2022,plain,
% 13.69/8.95 (~v100(constB65)),
% 13.69/8.95 inference(unit_resolution,[status(thm)],[2021, 2020, 2006])).
% 13.69/8.95 tff(2023,plain,
% 13.69/8.95 (((~![VarCurr: $i, VarNext: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v90(VarCurr, B))))) | (v100(constB65) | (~nextState(constB64, constB65)) | ![B: $i] : ((~less_3(B)) | (v90(constB65, B) <=> v90(constB64, B))))) <=> ((~![VarCurr: $i, VarNext: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v90(VarCurr, B))))) | v100(constB65) | (~nextState(constB64, constB65)) | ![B: $i] : ((~less_3(B)) | (v90(constB65, B) <=> v90(constB64, B))))),
% 13.69/8.95 inference(rewrite,[status(thm)],[])).
% 13.69/8.95 tff(2024,plain,
% 13.69/8.95 ((~![VarCurr: $i, VarNext: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v90(VarCurr, B))))) | (v100(constB65) | (~nextState(constB64, constB65)) | ![B: $i] : ((~less_3(B)) | (v90(constB65, B) <=> v90(constB64, B))))),
% 13.69/8.96 inference(quant_inst,[status(thm)],[])).
% 13.69/8.96 tff(2025,plain,
% 13.69/8.96 ((~![VarCurr: $i, VarNext: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v90(VarCurr, B))))) | v100(constB65) | (~nextState(constB64, constB65)) | ![B: $i] : ((~less_3(B)) | (v90(constB65, B) <=> v90(constB64, B)))),
% 13.69/8.96 inference(modus_ponens,[status(thm)],[2024, 2023])).
% 13.69/8.96 tff(2026,plain,
% 13.69/8.96 (v100(constB65) | ![B: $i] : ((~less_3(B)) | (v90(constB65, B) <=> v90(constB64, B)))),
% 13.69/8.96 inference(unit_resolution,[status(thm)],[2025, 2002, 479])).
% 13.69/8.96 tff(2027,plain,
% 13.69/8.96 (![B: $i] : ((~less_3(B)) | (v90(constB65, B) <=> v90(constB64, B)))),
% 13.69/8.96 inference(unit_resolution,[status(thm)],[2026, 2022])).
% 13.69/8.96 tff(2028,plain,
% 13.69/8.96 (((~![B: $i] : ((~less_3(B)) | (v90(constB65, B) <=> v90(constB64, B)))) | ((~less_3(bitIndex2)) | (v90(constB65, bitIndex2) <=> v90(constB64, bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v90(constB65, B) <=> v90(constB64, B)))) | (~less_3(bitIndex2)) | (v90(constB65, bitIndex2) <=> v90(constB64, bitIndex2)))),
% 13.69/8.96 inference(rewrite,[status(thm)],[])).
% 13.69/8.96 tff(2029,plain,
% 13.69/8.96 ((~![B: $i] : ((~less_3(B)) | (v90(constB65, B) <=> v90(constB64, B)))) | ((~less_3(bitIndex2)) | (v90(constB65, bitIndex2) <=> v90(constB64, bitIndex2)))),
% 13.69/8.96 inference(quant_inst,[status(thm)],[])).
% 13.69/8.96 tff(2030,plain,
% 13.69/8.96 ((~![B: $i] : ((~less_3(B)) | (v90(constB65, B) <=> v90(constB64, B)))) | (~less_3(bitIndex2)) | (v90(constB65, bitIndex2) <=> v90(constB64, bitIndex2))),
% 13.69/8.96 inference(modus_ponens,[status(thm)],[2029, 2028])).
% 13.69/8.96 tff(2031,plain,
% 13.69/8.96 (v90(constB65, bitIndex2) <=> v90(constB64, bitIndex2)),
% 13.69/8.96 inference(unit_resolution,[status(thm)],[2030, 413, 2027])).
% 13.69/8.96 tff(2032,plain,
% 13.69/8.96 (nextState(constB63, constB64) <=> nextState(constB63, constB64)),
% 13.69/8.96 inference(rewrite,[status(thm)],[])).
% 13.69/8.96 tff(2033,axiom,(nextState(constB63, constB64)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_63')).
% 13.69/8.96 tff(2034,plain,
% 13.69/8.96 (nextState(constB63, constB64)),
% 13.69/8.96 inference(modus_ponens,[status(thm)],[2033, 2032])).
% 13.69/8.96 tff(2035,plain,
% 13.69/8.96 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB63, constB64)) | (v100(constB64) <=> (~((~v101(constB64)) | (~v110(constB64))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB63, constB64)) | (v100(constB64) <=> (~((~v101(constB64)) | (~v110(constB64))))))),
% 13.69/8.96 inference(rewrite,[status(thm)],[])).
% 13.69/8.96 tff(2036,plain,
% 13.69/8.96 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB63, constB64)) | (v100(constB64) <=> (~((~v101(constB64)) | (~v110(constB64))))))),
% 13.69/8.96 inference(quant_inst,[status(thm)],[])).
% 13.69/8.96 tff(2037,plain,
% 13.69/8.96 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB63, constB64)) | (v100(constB64) <=> (~((~v101(constB64)) | (~v110(constB64)))))),
% 13.69/8.96 inference(modus_ponens,[status(thm)],[2036, 2035])).
% 13.69/8.96 tff(2038,plain,
% 13.69/8.96 (v100(constB64) <=> (~((~v101(constB64)) | (~v110(constB64))))),
% 13.69/8.96 inference(unit_resolution,[status(thm)],[2037, 2034, 430])).
% 13.69/8.96 tff(2039,plain,
% 13.69/8.96 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB63, constB64)) | (v101(constB64) <=> (~((~v1(constB64)) | (~v102(constB64))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB63, constB64)) | (v101(constB64) <=> (~((~v1(constB64)) | (~v102(constB64))))))),
% 13.69/8.96 inference(rewrite,[status(thm)],[])).
% 13.69/8.96 tff(2040,plain,
% 13.69/8.96 (((~nextState(constB63, constB64)) | (v101(constB64) <=> (~((~v102(constB64)) | (~v1(constB64)))))) <=> ((~nextState(constB63, constB64)) | (v101(constB64) <=> (~((~v1(constB64)) | (~v102(constB64))))))),
% 13.69/8.96 inference(rewrite,[status(thm)],[])).
% 13.69/8.96 tff(2041,plain,
% 13.69/8.96 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB63, constB64)) | (v101(constB64) <=> (~((~v102(constB64)) | (~v1(constB64))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB63, constB64)) | (v101(constB64) <=> (~((~v1(constB64)) | (~v102(constB64)))))))),
% 13.69/8.96 inference(monotonicity,[status(thm)],[2040])).
% 13.69/8.96 tff(2042,plain,
% 13.69/8.96 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB63, constB64)) | (v101(constB64) <=> (~((~v102(constB64)) | (~v1(constB64))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB63, constB64)) | (v101(constB64) <=> (~((~v1(constB64)) | (~v102(constB64))))))),
% 13.69/8.96 inference(transitivity,[status(thm)],[2041, 2039])).
% 13.69/8.96 tff(2043,plain,
% 13.69/8.96 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB63, constB64)) | (v101(constB64) <=> (~((~v102(constB64)) | (~v1(constB64))))))),
% 13.69/8.96 inference(quant_inst,[status(thm)],[])).
% 13.69/8.96 tff(2044,plain,
% 13.69/8.96 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB63, constB64)) | (v101(constB64) <=> (~((~v1(constB64)) | (~v102(constB64)))))),
% 13.69/8.96 inference(modus_ponens,[status(thm)],[2043, 2042])).
% 13.69/8.96 tff(2045,plain,
% 13.69/8.96 (v101(constB64) <=> (~((~v1(constB64)) | (~v102(constB64))))),
% 13.69/8.96 inference(unit_resolution,[status(thm)],[2044, 2034, 450])).
% 13.69/8.96 tff(2046,plain,
% 13.69/8.96 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | ((~nextState(constB63, constB64)) | ((~v102(constB64)) <=> v104(constB64)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | (~nextState(constB63, constB64)) | ((~v102(constB64)) <=> v104(constB64)))),
% 13.69/8.96 inference(rewrite,[status(thm)],[])).
% 13.69/8.96 tff(2047,plain,
% 13.69/8.96 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | ((~nextState(constB63, constB64)) | ((~v102(constB64)) <=> v104(constB64)))),
% 13.69/8.96 inference(quant_inst,[status(thm)],[])).
% 13.69/8.96 tff(2048,plain,
% 13.69/8.96 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | (~nextState(constB63, constB64)) | ((~v102(constB64)) <=> v104(constB64))),
% 13.69/8.96 inference(modus_ponens,[status(thm)],[2047, 2046])).
% 13.69/8.96 tff(2049,plain,
% 13.69/8.96 ((~v102(constB64)) <=> v104(constB64)),
% 13.69/8.96 inference(unit_resolution,[status(thm)],[2048, 2034, 512])).
% 13.69/8.96 tff(2050,plain,
% 13.69/8.96 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB63, constB64)) | (v104(constB64) <=> v1(constB63)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | (~nextState(constB63, constB64)) | (v104(constB64) <=> v1(constB63)))),
% 13.69/8.96 inference(rewrite,[status(thm)],[])).
% 13.69/8.96 tff(2051,plain,
% 13.69/8.96 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB63, constB64)) | (v104(constB64) <=> v1(constB63)))),
% 13.69/8.96 inference(quant_inst,[status(thm)],[])).
% 13.69/8.96 tff(2052,plain,
% 13.69/8.96 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | (~nextState(constB63, constB64)) | (v104(constB64) <=> v1(constB63))),
% 13.69/8.96 inference(modus_ponens,[status(thm)],[2051, 2050])).
% 13.69/8.96 tff(2053,plain,
% 13.69/8.96 (v104(constB64) <=> v1(constB63)),
% 13.69/8.96 inference(unit_resolution,[status(thm)],[2052, 2034, 526])).
% 13.69/8.96 tff(2054,plain,
% 13.69/8.96 ((~v1(constB63)) <=> (~v1(constB63))),
% 13.69/8.96 inference(rewrite,[status(thm)],[])).
% 13.69/8.96 tff(2055,axiom,(~v1(constB63)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_63')).
% 13.69/8.96 tff(2056,plain,
% 13.69/8.96 (~v1(constB63)),
% 13.69/8.96 inference(modus_ponens,[status(thm)],[2055, 2054])).
% 13.69/8.96 tff(2057,plain,
% 13.69/8.96 ((~(v104(constB64) <=> v1(constB63))) | (~v104(constB64)) | v1(constB63)),
% 13.69/8.96 inference(tautology,[status(thm)],[])).
% 13.69/8.96 tff(2058,plain,
% 13.69/8.96 ((~(v104(constB64) <=> v1(constB63))) | (~v104(constB64))),
% 13.69/8.96 inference(unit_resolution,[status(thm)],[2057, 2056])).
% 13.69/8.96 tff(2059,plain,
% 13.69/8.96 (~v104(constB64)),
% 13.69/8.96 inference(unit_resolution,[status(thm)],[2058, 2053])).
% 13.69/8.96 tff(2060,plain,
% 13.69/8.96 ((~((~v102(constB64)) <=> v104(constB64))) | v102(constB64) | v104(constB64)),
% 13.69/8.96 inference(tautology,[status(thm)],[])).
% 13.69/8.96 tff(2061,plain,
% 13.69/8.96 (v102(constB64)),
% 13.69/8.96 inference(unit_resolution,[status(thm)],[2060, 2059, 2049])).
% 13.69/8.96 tff(2062,plain,
% 13.69/8.96 (v1(constB64) <=> v1(constB64)),
% 13.69/8.96 inference(rewrite,[status(thm)],[])).
% 13.69/8.96 tff(2063,axiom,(v1(constB64)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_64')).
% 13.69/8.96 tff(2064,plain,
% 13.69/8.96 (v1(constB64)),
% 13.69/8.96 inference(modus_ponens,[status(thm)],[2063, 2062])).
% 13.69/8.96 tff(2065,plain,
% 13.69/8.96 ((~((~v1(constB64)) | (~v102(constB64)))) | (~v1(constB64)) | (~v102(constB64))),
% 13.69/8.96 inference(tautology,[status(thm)],[])).
% 13.69/8.96 tff(2066,plain,
% 13.69/8.96 ((~((~v1(constB64)) | (~v102(constB64)))) | (~v102(constB64))),
% 13.69/8.96 inference(unit_resolution,[status(thm)],[2065, 2064])).
% 13.69/8.96 tff(2067,plain,
% 13.69/8.96 (~((~v1(constB64)) | (~v102(constB64)))),
% 13.69/8.96 inference(unit_resolution,[status(thm)],[2066, 2061])).
% 13.69/8.96 tff(2068,plain,
% 13.69/8.96 ((~(v101(constB64) <=> (~((~v1(constB64)) | (~v102(constB64)))))) | v101(constB64) | ((~v1(constB64)) | (~v102(constB64)))),
% 13.69/8.96 inference(tautology,[status(thm)],[])).
% 13.69/8.96 tff(2069,plain,
% 13.69/8.96 (v101(constB64)),
% 13.69/8.96 inference(unit_resolution,[status(thm)],[2068, 2067, 2045])).
% 13.69/8.96 tff(2070,plain,
% 13.69/8.96 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | ((~nextState(constB63, constB64)) | (v110(constB64) <=> v108(constB63)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | (~nextState(constB63, constB64)) | (v110(constB64) <=> v108(constB63)))),
% 13.69/8.96 inference(rewrite,[status(thm)],[])).
% 13.69/8.96 tff(2071,plain,
% 13.69/8.96 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | ((~nextState(constB63, constB64)) | (v110(constB64) <=> v108(constB63)))),
% 13.69/8.96 inference(quant_inst,[status(thm)],[])).
% 13.69/8.96 tff(2072,plain,
% 13.69/8.96 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | (~nextState(constB63, constB64)) | (v110(constB64) <=> v108(constB63))),
% 13.69/8.96 inference(modus_ponens,[status(thm)],[2071, 2070])).
% 13.69/8.96 tff(2073,plain,
% 13.69/8.96 (v110(constB64) <=> v108(constB63)),
% 13.69/8.96 inference(unit_resolution,[status(thm)],[2072, 2034, 556])).
% 13.69/8.96 tff(2074,plain,
% 13.69/8.96 ((~![VarCurr: $i] : (v108(VarCurr) <=> (v111(VarCurr) | v112(VarCurr)))) | (v108(constB63) <=> (v111(constB63) | v112(constB63)))),
% 13.69/8.96 inference(quant_inst,[status(thm)],[])).
% 13.69/8.96 tff(2075,plain,
% 13.69/8.96 (v108(constB63) <=> (v111(constB63) | v112(constB63))),
% 13.69/8.96 inference(unit_resolution,[status(thm)],[2074, 567])).
% 13.69/8.96 tff(2076,plain,
% 13.69/8.96 ((~![VarCurr: $i] : (v112(VarCurr) <=> (~((~v113(VarCurr)) | (~v126(VarCurr)))))) | (v112(constB63) <=> (~((~v113(constB63)) | (~v126(constB63)))))),
% 13.69/8.96 inference(quant_inst,[status(thm)],[])).
% 13.69/8.96 tff(2077,plain,
% 13.69/8.96 (v112(constB63) <=> (~((~v113(constB63)) | (~v126(constB63))))),
% 13.69/8.96 inference(unit_resolution,[status(thm)],[2076, 579])).
% 13.69/8.96 tff(2078,plain,
% 13.69/8.96 ((~![VarCurr: $i] : (v113(VarCurr) <=> (v114(VarCurr) | v125(VarCurr)))) | (v113(constB63) <=> (v114(constB63) | v125(constB63)))),
% 13.69/8.96 inference(quant_inst,[status(thm)],[])).
% 13.69/8.96 tff(2079,plain,
% 13.69/8.96 (v113(constB63) <=> (v114(constB63) | v125(constB63))),
% 13.69/8.96 inference(unit_resolution,[status(thm)],[2078, 588])).
% 13.69/8.96 tff(2080,plain,
% 13.69/8.96 ((~![VarCurr: $i] : (v114(VarCurr) <=> (v115(VarCurr) | v124(VarCurr)))) | (v114(constB63) <=> (v115(constB63) | v124(constB63)))),
% 13.69/8.96 inference(quant_inst,[status(thm)],[])).
% 13.69/8.96 tff(2081,plain,
% 13.69/8.96 (v114(constB63) <=> (v115(constB63) | v124(constB63))),
% 13.69/8.96 inference(unit_resolution,[status(thm)],[2080, 597])).
% 13.69/8.96 tff(2082,plain,
% 13.69/8.96 ((~![VarCurr: $i] : (v115(VarCurr) <=> (v116(VarCurr) | v123(VarCurr)))) | (v115(constB63) <=> (v116(constB63) | v123(constB63)))),
% 13.69/8.96 inference(quant_inst,[status(thm)],[])).
% 13.69/8.96 tff(2083,plain,
% 13.69/8.96 (v115(constB63) <=> (v116(constB63) | v123(constB63))),
% 13.69/8.96 inference(unit_resolution,[status(thm)],[2082, 606])).
% 13.69/8.96 tff(2084,plain,
% 13.69/8.96 (((~![VarCurr: $i] : (v123(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)))))) | (v123(constB63) <=> (~((~v90(constB63, bitIndex2)) | v90(constB63, bitIndex1) | v90(constB63, bitIndex0))))) <=> ((~![VarCurr: $i] : (v123(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)))))) | (v123(constB63) <=> (~((~v90(constB63, bitIndex2)) | v90(constB63, bitIndex1) | v90(constB63, bitIndex0)))))),
% 13.69/8.96 inference(rewrite,[status(thm)],[])).
% 13.69/8.96 tff(2085,plain,
% 13.69/8.96 ((v123(constB63) <=> (~(v90(constB63, bitIndex0) | v90(constB63, bitIndex1) | (~v90(constB63, bitIndex2))))) <=> (v123(constB63) <=> (~((~v90(constB63, bitIndex2)) | v90(constB63, bitIndex1) | v90(constB63, bitIndex0))))),
% 13.69/8.96 inference(rewrite,[status(thm)],[])).
% 13.69/8.96 tff(2086,plain,
% 13.69/8.96 (((~![VarCurr: $i] : (v123(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)))))) | (v123(constB63) <=> (~(v90(constB63, bitIndex0) | v90(constB63, bitIndex1) | (~v90(constB63, bitIndex2)))))) <=> ((~![VarCurr: $i] : (v123(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)))))) | (v123(constB63) <=> (~((~v90(constB63, bitIndex2)) | v90(constB63, bitIndex1) | v90(constB63, bitIndex0)))))),
% 13.69/8.96 inference(monotonicity,[status(thm)],[2085])).
% 13.69/8.96 tff(2087,plain,
% 13.69/8.96 (((~![VarCurr: $i] : (v123(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)))))) | (v123(constB63) <=> (~(v90(constB63, bitIndex0) | v90(constB63, bitIndex1) | (~v90(constB63, bitIndex2)))))) <=> ((~![VarCurr: $i] : (v123(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)))))) | (v123(constB63) <=> (~((~v90(constB63, bitIndex2)) | v90(constB63, bitIndex1) | v90(constB63, bitIndex0)))))),
% 13.69/8.96 inference(transitivity,[status(thm)],[2086, 2084])).
% 13.69/8.96 tff(2088,plain,
% 13.69/8.96 ((~![VarCurr: $i] : (v123(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)))))) | (v123(constB63) <=> (~(v90(constB63, bitIndex0) | v90(constB63, bitIndex1) | (~v90(constB63, bitIndex2)))))),
% 13.69/8.96 inference(quant_inst,[status(thm)],[])).
% 13.69/8.96 tff(2089,plain,
% 13.69/8.96 ((~![VarCurr: $i] : (v123(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)))))) | (v123(constB63) <=> (~((~v90(constB63, bitIndex2)) | v90(constB63, bitIndex1) | v90(constB63, bitIndex0))))),
% 13.69/8.96 inference(modus_ponens,[status(thm)],[2088, 2087])).
% 13.69/8.96 tff(2090,plain,
% 13.69/8.96 (v123(constB63) <=> (~((~v90(constB63, bitIndex2)) | v90(constB63, bitIndex1) | v90(constB63, bitIndex0)))),
% 13.69/8.96 inference(unit_resolution,[status(thm)],[2089, 621])).
% 13.69/8.96 tff(2091,plain,
% 13.69/8.96 (nextState(constB62, constB63) <=> nextState(constB62, constB63)),
% 13.69/8.96 inference(rewrite,[status(thm)],[])).
% 13.69/8.96 tff(2092,axiom,(nextState(constB62, constB63)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_62')).
% 13.69/8.96 tff(2093,plain,
% 13.69/8.96 (nextState(constB62, constB63)),
% 13.69/8.96 inference(modus_ponens,[status(thm)],[2092, 2091])).
% 13.69/8.96 tff(2094,plain,
% 13.69/8.96 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB62, constB63)) | (v100(constB63) <=> (~((~v101(constB63)) | (~v110(constB63))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB62, constB63)) | (v100(constB63) <=> (~((~v101(constB63)) | (~v110(constB63))))))),
% 13.69/8.96 inference(rewrite,[status(thm)],[])).
% 13.69/8.97 tff(2095,plain,
% 13.69/8.97 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB62, constB63)) | (v100(constB63) <=> (~((~v101(constB63)) | (~v110(constB63))))))),
% 13.69/8.97 inference(quant_inst,[status(thm)],[])).
% 13.69/8.97 tff(2096,plain,
% 13.69/8.97 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB62, constB63)) | (v100(constB63) <=> (~((~v101(constB63)) | (~v110(constB63)))))),
% 13.69/8.97 inference(modus_ponens,[status(thm)],[2095, 2094])).
% 13.69/8.97 tff(2097,plain,
% 13.69/8.97 (v100(constB63) <=> (~((~v101(constB63)) | (~v110(constB63))))),
% 13.69/8.97 inference(unit_resolution,[status(thm)],[2096, 2093, 430])).
% 13.69/8.97 tff(2098,plain,
% 13.69/8.97 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB62, constB63)) | (v101(constB63) <=> (~((~v1(constB63)) | (~v102(constB63))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB62, constB63)) | (v101(constB63) <=> (~((~v1(constB63)) | (~v102(constB63))))))),
% 13.69/8.97 inference(rewrite,[status(thm)],[])).
% 13.69/8.97 tff(2099,plain,
% 13.69/8.97 (((~nextState(constB62, constB63)) | (v101(constB63) <=> (~((~v102(constB63)) | (~v1(constB63)))))) <=> ((~nextState(constB62, constB63)) | (v101(constB63) <=> (~((~v1(constB63)) | (~v102(constB63))))))),
% 13.69/8.97 inference(rewrite,[status(thm)],[])).
% 13.69/8.97 tff(2100,plain,
% 13.69/8.97 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB62, constB63)) | (v101(constB63) <=> (~((~v102(constB63)) | (~v1(constB63))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB62, constB63)) | (v101(constB63) <=> (~((~v1(constB63)) | (~v102(constB63)))))))),
% 13.69/8.97 inference(monotonicity,[status(thm)],[2099])).
% 13.69/8.97 tff(2101,plain,
% 13.69/8.97 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB62, constB63)) | (v101(constB63) <=> (~((~v102(constB63)) | (~v1(constB63))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB62, constB63)) | (v101(constB63) <=> (~((~v1(constB63)) | (~v102(constB63))))))),
% 13.69/8.97 inference(transitivity,[status(thm)],[2100, 2098])).
% 13.69/8.97 tff(2102,plain,
% 13.69/8.97 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB62, constB63)) | (v101(constB63) <=> (~((~v102(constB63)) | (~v1(constB63))))))),
% 13.69/8.97 inference(quant_inst,[status(thm)],[])).
% 13.69/8.97 tff(2103,plain,
% 13.69/8.97 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB62, constB63)) | (v101(constB63) <=> (~((~v1(constB63)) | (~v102(constB63)))))),
% 13.69/8.97 inference(modus_ponens,[status(thm)],[2102, 2101])).
% 13.69/8.97 tff(2104,plain,
% 13.69/8.97 (v101(constB63) <=> (~((~v1(constB63)) | (~v102(constB63))))),
% 13.69/8.97 inference(unit_resolution,[status(thm)],[2103, 2093, 450])).
% 13.69/8.97 tff(2105,plain,
% 13.69/8.97 (((~v1(constB63)) | (~v102(constB63))) | v1(constB63)),
% 13.69/8.97 inference(tautology,[status(thm)],[])).
% 13.69/8.97 tff(2106,plain,
% 13.69/8.97 ((~v1(constB63)) | (~v102(constB63))),
% 13.69/8.97 inference(unit_resolution,[status(thm)],[2105, 2056])).
% 13.69/8.97 tff(2107,plain,
% 13.69/8.97 ((~(v101(constB63) <=> (~((~v1(constB63)) | (~v102(constB63)))))) | (~v101(constB63)) | (~((~v1(constB63)) | (~v102(constB63))))),
% 13.69/8.97 inference(tautology,[status(thm)],[])).
% 13.69/8.97 tff(2108,plain,
% 13.69/8.97 ((~(v101(constB63) <=> (~((~v1(constB63)) | (~v102(constB63)))))) | (~v101(constB63))),
% 13.69/8.97 inference(unit_resolution,[status(thm)],[2107, 2106])).
% 13.69/8.97 tff(2109,plain,
% 13.69/8.97 (~v101(constB63)),
% 13.69/8.97 inference(unit_resolution,[status(thm)],[2108, 2104])).
% 13.69/8.97 tff(2110,plain,
% 13.69/8.97 (((~v101(constB63)) | (~v110(constB63))) | v101(constB63)),
% 13.69/8.97 inference(tautology,[status(thm)],[])).
% 13.69/8.97 tff(2111,plain,
% 13.69/8.97 ((~v101(constB63)) | (~v110(constB63))),
% 13.69/8.97 inference(unit_resolution,[status(thm)],[2110, 2109])).
% 13.69/8.97 tff(2112,plain,
% 13.69/8.97 ((~(v100(constB63) <=> (~((~v101(constB63)) | (~v110(constB63)))))) | (~v100(constB63)) | (~((~v101(constB63)) | (~v110(constB63))))),
% 13.69/8.97 inference(tautology,[status(thm)],[])).
% 13.69/8.97 tff(2113,plain,
% 13.69/8.97 (~v100(constB63)),
% 13.69/8.97 inference(unit_resolution,[status(thm)],[2112, 2111, 2097])).
% 13.69/8.97 tff(2114,plain,
% 13.69/8.97 (((~![VarCurr: $i, VarNext: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v90(VarCurr, B))))) | (v100(constB63) | (~nextState(constB62, constB63)) | ![B: $i] : ((~less_3(B)) | (v90(constB63, B) <=> v90(constB62, B))))) <=> ((~![VarCurr: $i, VarNext: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v90(VarCurr, B))))) | v100(constB63) | (~nextState(constB62, constB63)) | ![B: $i] : ((~less_3(B)) | (v90(constB63, B) <=> v90(constB62, B))))),
% 13.69/8.97 inference(rewrite,[status(thm)],[])).
% 13.69/8.97 tff(2115,plain,
% 13.69/8.97 ((~![VarCurr: $i, VarNext: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v90(VarCurr, B))))) | (v100(constB63) | (~nextState(constB62, constB63)) | ![B: $i] : ((~less_3(B)) | (v90(constB63, B) <=> v90(constB62, B))))),
% 13.69/8.97 inference(quant_inst,[status(thm)],[])).
% 13.69/8.97 tff(2116,plain,
% 13.69/8.97 ((~![VarCurr: $i, VarNext: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v90(VarCurr, B))))) | v100(constB63) | (~nextState(constB62, constB63)) | ![B: $i] : ((~less_3(B)) | (v90(constB63, B) <=> v90(constB62, B)))),
% 13.69/8.97 inference(modus_ponens,[status(thm)],[2115, 2114])).
% 13.69/8.97 tff(2117,plain,
% 13.69/8.97 (v100(constB63) | ![B: $i] : ((~less_3(B)) | (v90(constB63, B) <=> v90(constB62, B)))),
% 13.69/8.97 inference(unit_resolution,[status(thm)],[2116, 2093, 479])).
% 13.69/8.97 tff(2118,plain,
% 13.69/8.97 (![B: $i] : ((~less_3(B)) | (v90(constB63, B) <=> v90(constB62, B)))),
% 13.69/8.97 inference(unit_resolution,[status(thm)],[2117, 2113])).
% 13.69/8.97 tff(2119,plain,
% 13.69/8.97 (((~![B: $i] : ((~less_3(B)) | (v90(constB63, B) <=> v90(constB62, B)))) | ((~less_3(bitIndex2)) | (v90(constB63, bitIndex2) <=> v90(constB62, bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v90(constB63, B) <=> v90(constB62, B)))) | (~less_3(bitIndex2)) | (v90(constB63, bitIndex2) <=> v90(constB62, bitIndex2)))),
% 13.69/8.97 inference(rewrite,[status(thm)],[])).
% 13.69/8.97 tff(2120,plain,
% 13.69/8.97 ((~![B: $i] : ((~less_3(B)) | (v90(constB63, B) <=> v90(constB62, B)))) | ((~less_3(bitIndex2)) | (v90(constB63, bitIndex2) <=> v90(constB62, bitIndex2)))),
% 13.69/8.97 inference(quant_inst,[status(thm)],[])).
% 13.69/8.97 tff(2121,plain,
% 13.69/8.97 ((~![B: $i] : ((~less_3(B)) | (v90(constB63, B) <=> v90(constB62, B)))) | (~less_3(bitIndex2)) | (v90(constB63, bitIndex2) <=> v90(constB62, bitIndex2))),
% 13.69/8.97 inference(modus_ponens,[status(thm)],[2120, 2119])).
% 13.69/8.97 tff(2122,plain,
% 13.69/8.97 (v90(constB63, bitIndex2) <=> v90(constB62, bitIndex2)),
% 13.69/8.97 inference(unit_resolution,[status(thm)],[2121, 413, 2118])).
% 13.69/8.97 tff(2123,plain,
% 13.69/8.97 (nextState(constB61, constB62) <=> nextState(constB61, constB62)),
% 13.69/8.97 inference(rewrite,[status(thm)],[])).
% 13.69/8.97 tff(2124,axiom,(nextState(constB61, constB62)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_61')).
% 13.69/8.97 tff(2125,plain,
% 13.69/8.97 (nextState(constB61, constB62)),
% 13.69/8.97 inference(modus_ponens,[status(thm)],[2124, 2123])).
% 13.69/8.97 tff(2126,plain,
% 13.69/8.97 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB61, constB62)) | (v100(constB62) <=> (~((~v101(constB62)) | (~v110(constB62))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB61, constB62)) | (v100(constB62) <=> (~((~v101(constB62)) | (~v110(constB62))))))),
% 13.69/8.97 inference(rewrite,[status(thm)],[])).
% 13.69/8.97 tff(2127,plain,
% 13.69/8.97 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB61, constB62)) | (v100(constB62) <=> (~((~v101(constB62)) | (~v110(constB62))))))),
% 13.69/8.97 inference(quant_inst,[status(thm)],[])).
% 13.69/8.97 tff(2128,plain,
% 13.69/8.97 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB61, constB62)) | (v100(constB62) <=> (~((~v101(constB62)) | (~v110(constB62)))))),
% 13.69/8.97 inference(modus_ponens,[status(thm)],[2127, 2126])).
% 13.69/8.97 tff(2129,plain,
% 13.69/8.97 (v100(constB62) <=> (~((~v101(constB62)) | (~v110(constB62))))),
% 13.69/8.97 inference(unit_resolution,[status(thm)],[2128, 2125, 430])).
% 13.69/8.97 tff(2130,plain,
% 13.69/8.97 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB61, constB62)) | (v101(constB62) <=> (~((~v1(constB62)) | (~v102(constB62))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB61, constB62)) | (v101(constB62) <=> (~((~v1(constB62)) | (~v102(constB62))))))),
% 13.69/8.97 inference(rewrite,[status(thm)],[])).
% 13.69/8.97 tff(2131,plain,
% 13.69/8.97 (((~nextState(constB61, constB62)) | (v101(constB62) <=> (~((~v102(constB62)) | (~v1(constB62)))))) <=> ((~nextState(constB61, constB62)) | (v101(constB62) <=> (~((~v1(constB62)) | (~v102(constB62))))))),
% 13.69/8.97 inference(rewrite,[status(thm)],[])).
% 13.69/8.97 tff(2132,plain,
% 13.69/8.97 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB61, constB62)) | (v101(constB62) <=> (~((~v102(constB62)) | (~v1(constB62))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB61, constB62)) | (v101(constB62) <=> (~((~v1(constB62)) | (~v102(constB62)))))))),
% 13.69/8.97 inference(monotonicity,[status(thm)],[2131])).
% 13.69/8.97 tff(2133,plain,
% 13.69/8.97 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB61, constB62)) | (v101(constB62) <=> (~((~v102(constB62)) | (~v1(constB62))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB61, constB62)) | (v101(constB62) <=> (~((~v1(constB62)) | (~v102(constB62))))))),
% 13.69/8.97 inference(transitivity,[status(thm)],[2132, 2130])).
% 13.69/8.97 tff(2134,plain,
% 13.69/8.97 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB61, constB62)) | (v101(constB62) <=> (~((~v102(constB62)) | (~v1(constB62))))))),
% 13.69/8.97 inference(quant_inst,[status(thm)],[])).
% 13.69/8.97 tff(2135,plain,
% 13.69/8.97 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB61, constB62)) | (v101(constB62) <=> (~((~v1(constB62)) | (~v102(constB62)))))),
% 13.69/8.97 inference(modus_ponens,[status(thm)],[2134, 2133])).
% 13.69/8.97 tff(2136,plain,
% 13.69/8.97 (v101(constB62) <=> (~((~v1(constB62)) | (~v102(constB62))))),
% 13.69/8.97 inference(unit_resolution,[status(thm)],[2135, 2125, 450])).
% 13.69/8.97 tff(2137,plain,
% 13.69/8.97 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | ((~nextState(constB61, constB62)) | ((~v102(constB62)) <=> v104(constB62)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | (~nextState(constB61, constB62)) | ((~v102(constB62)) <=> v104(constB62)))),
% 13.69/8.97 inference(rewrite,[status(thm)],[])).
% 13.69/8.97 tff(2138,plain,
% 13.69/8.97 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | ((~nextState(constB61, constB62)) | ((~v102(constB62)) <=> v104(constB62)))),
% 13.69/8.97 inference(quant_inst,[status(thm)],[])).
% 13.69/8.97 tff(2139,plain,
% 13.69/8.97 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | (~nextState(constB61, constB62)) | ((~v102(constB62)) <=> v104(constB62))),
% 13.69/8.97 inference(modus_ponens,[status(thm)],[2138, 2137])).
% 13.69/8.97 tff(2140,plain,
% 13.69/8.97 ((~v102(constB62)) <=> v104(constB62)),
% 13.69/8.97 inference(unit_resolution,[status(thm)],[2139, 2125, 512])).
% 13.69/8.97 tff(2141,plain,
% 13.69/8.97 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB61, constB62)) | (v104(constB62) <=> v1(constB61)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | (~nextState(constB61, constB62)) | (v104(constB62) <=> v1(constB61)))),
% 13.69/8.97 inference(rewrite,[status(thm)],[])).
% 13.69/8.97 tff(2142,plain,
% 13.69/8.97 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB61, constB62)) | (v104(constB62) <=> v1(constB61)))),
% 13.69/8.97 inference(quant_inst,[status(thm)],[])).
% 13.69/8.97 tff(2143,plain,
% 13.69/8.97 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | (~nextState(constB61, constB62)) | (v104(constB62) <=> v1(constB61))),
% 13.69/8.97 inference(modus_ponens,[status(thm)],[2142, 2141])).
% 13.69/8.97 tff(2144,plain,
% 13.69/8.97 (v104(constB62) <=> v1(constB61)),
% 13.69/8.97 inference(unit_resolution,[status(thm)],[2143, 2125, 526])).
% 13.69/8.97 tff(2145,plain,
% 13.69/8.97 ((~v1(constB61)) <=> (~v1(constB61))),
% 13.69/8.97 inference(rewrite,[status(thm)],[])).
% 13.69/8.97 tff(2146,axiom,(~v1(constB61)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_61')).
% 13.69/8.97 tff(2147,plain,
% 13.69/8.97 (~v1(constB61)),
% 13.69/8.97 inference(modus_ponens,[status(thm)],[2146, 2145])).
% 13.69/8.97 tff(2148,plain,
% 13.69/8.97 ((~(v104(constB62) <=> v1(constB61))) | (~v104(constB62)) | v1(constB61)),
% 13.69/8.97 inference(tautology,[status(thm)],[])).
% 13.69/8.97 tff(2149,plain,
% 13.69/8.97 ((~(v104(constB62) <=> v1(constB61))) | (~v104(constB62))),
% 13.69/8.97 inference(unit_resolution,[status(thm)],[2148, 2147])).
% 13.69/8.97 tff(2150,plain,
% 13.69/8.97 (~v104(constB62)),
% 13.69/8.97 inference(unit_resolution,[status(thm)],[2149, 2144])).
% 13.69/8.97 tff(2151,plain,
% 13.69/8.97 ((~((~v102(constB62)) <=> v104(constB62))) | v102(constB62) | v104(constB62)),
% 13.69/8.97 inference(tautology,[status(thm)],[])).
% 13.69/8.97 tff(2152,plain,
% 13.69/8.97 (v102(constB62)),
% 13.69/8.97 inference(unit_resolution,[status(thm)],[2151, 2150, 2140])).
% 13.69/8.97 tff(2153,plain,
% 13.69/8.97 (v1(constB62) <=> v1(constB62)),
% 13.69/8.97 inference(rewrite,[status(thm)],[])).
% 13.69/8.97 tff(2154,axiom,(v1(constB62)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_62')).
% 13.69/8.97 tff(2155,plain,
% 13.69/8.97 (v1(constB62)),
% 13.69/8.97 inference(modus_ponens,[status(thm)],[2154, 2153])).
% 13.69/8.97 tff(2156,plain,
% 13.69/8.97 ((~((~v1(constB62)) | (~v102(constB62)))) | (~v1(constB62)) | (~v102(constB62))),
% 13.69/8.97 inference(tautology,[status(thm)],[])).
% 13.69/8.97 tff(2157,plain,
% 13.69/8.97 ((~((~v1(constB62)) | (~v102(constB62)))) | (~v102(constB62))),
% 13.69/8.97 inference(unit_resolution,[status(thm)],[2156, 2155])).
% 13.69/8.97 tff(2158,plain,
% 13.69/8.97 (~((~v1(constB62)) | (~v102(constB62)))),
% 13.69/8.97 inference(unit_resolution,[status(thm)],[2157, 2152])).
% 13.69/8.97 tff(2159,plain,
% 13.69/8.97 ((~(v101(constB62) <=> (~((~v1(constB62)) | (~v102(constB62)))))) | v101(constB62) | ((~v1(constB62)) | (~v102(constB62)))),
% 13.69/8.97 inference(tautology,[status(thm)],[])).
% 13.69/8.97 tff(2160,plain,
% 13.69/8.97 (v101(constB62)),
% 13.69/8.97 inference(unit_resolution,[status(thm)],[2159, 2158, 2136])).
% 13.69/8.97 tff(2161,plain,
% 13.69/8.97 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | ((~nextState(constB61, constB62)) | (v110(constB62) <=> v108(constB61)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | (~nextState(constB61, constB62)) | (v110(constB62) <=> v108(constB61)))),
% 13.69/8.97 inference(rewrite,[status(thm)],[])).
% 13.69/8.97 tff(2162,plain,
% 13.69/8.97 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | ((~nextState(constB61, constB62)) | (v110(constB62) <=> v108(constB61)))),
% 13.69/8.97 inference(quant_inst,[status(thm)],[])).
% 13.69/8.97 tff(2163,plain,
% 13.69/8.97 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | (~nextState(constB61, constB62)) | (v110(constB62) <=> v108(constB61))),
% 13.69/8.98 inference(modus_ponens,[status(thm)],[2162, 2161])).
% 13.69/8.98 tff(2164,plain,
% 13.69/8.98 (v110(constB62) <=> v108(constB61)),
% 13.69/8.98 inference(unit_resolution,[status(thm)],[2163, 2125, 556])).
% 13.69/8.98 tff(2165,plain,
% 13.69/8.98 ((~![VarCurr: $i] : (v108(VarCurr) <=> (v111(VarCurr) | v112(VarCurr)))) | (v108(constB61) <=> (v111(constB61) | v112(constB61)))),
% 13.69/8.98 inference(quant_inst,[status(thm)],[])).
% 13.69/8.98 tff(2166,plain,
% 13.69/8.98 (v108(constB61) <=> (v111(constB61) | v112(constB61))),
% 13.69/8.98 inference(unit_resolution,[status(thm)],[2165, 567])).
% 13.69/8.98 tff(2167,plain,
% 13.69/8.98 ((~![VarCurr: $i] : (v112(VarCurr) <=> (~((~v113(VarCurr)) | (~v126(VarCurr)))))) | (v112(constB61) <=> (~((~v113(constB61)) | (~v126(constB61)))))),
% 13.69/8.98 inference(quant_inst,[status(thm)],[])).
% 13.69/8.98 tff(2168,plain,
% 13.69/8.98 (v112(constB61) <=> (~((~v113(constB61)) | (~v126(constB61))))),
% 13.69/8.98 inference(unit_resolution,[status(thm)],[2167, 579])).
% 13.69/8.98 tff(2169,plain,
% 13.69/8.98 ((~![VarCurr: $i] : (v113(VarCurr) <=> (v114(VarCurr) | v125(VarCurr)))) | (v113(constB61) <=> (v114(constB61) | v125(constB61)))),
% 13.69/8.98 inference(quant_inst,[status(thm)],[])).
% 13.69/8.98 tff(2170,plain,
% 13.69/8.98 (v113(constB61) <=> (v114(constB61) | v125(constB61))),
% 13.69/8.98 inference(unit_resolution,[status(thm)],[2169, 588])).
% 13.69/8.98 tff(2171,plain,
% 13.69/8.98 ((~![VarCurr: $i] : (v114(VarCurr) <=> (v115(VarCurr) | v124(VarCurr)))) | (v114(constB61) <=> (v115(constB61) | v124(constB61)))),
% 13.69/8.98 inference(quant_inst,[status(thm)],[])).
% 13.69/8.98 tff(2172,plain,
% 13.69/8.98 (v114(constB61) <=> (v115(constB61) | v124(constB61))),
% 13.69/8.98 inference(unit_resolution,[status(thm)],[2171, 597])).
% 13.69/8.98 tff(2173,plain,
% 13.69/8.98 ((~![VarCurr: $i] : (v115(VarCurr) <=> (v116(VarCurr) | v123(VarCurr)))) | (v115(constB61) <=> (v116(constB61) | v123(constB61)))),
% 13.69/8.98 inference(quant_inst,[status(thm)],[])).
% 13.69/8.98 tff(2174,plain,
% 13.69/8.98 (v115(constB61) <=> (v116(constB61) | v123(constB61))),
% 13.69/8.98 inference(unit_resolution,[status(thm)],[2173, 606])).
% 13.69/8.98 tff(2175,plain,
% 13.69/8.98 ((~![VarCurr: $i] : (v116(VarCurr) <=> (v117(VarCurr) | v122(VarCurr)))) | (v116(constB61) <=> (v117(constB61) | v122(constB61)))),
% 13.69/8.98 inference(quant_inst,[status(thm)],[])).
% 13.69/8.98 tff(2176,plain,
% 13.69/8.98 (v116(constB61) <=> (v117(constB61) | v122(constB61))),
% 13.69/8.98 inference(unit_resolution,[status(thm)],[2175, 719])).
% 13.69/8.98 tff(2177,plain,
% 13.69/8.98 (((~![VarCurr: $i] : (v122(VarCurr) <=> (~(v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)))))) | (v122(constB61) <=> (~(v90(constB61, bitIndex2) | (~v90(constB61, bitIndex1)) | (~v90(constB61, bitIndex0)))))) <=> ((~![VarCurr: $i] : (v122(VarCurr) <=> (~(v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)))))) | (v122(constB61) <=> (~(v90(constB61, bitIndex2) | (~v90(constB61, bitIndex1)) | (~v90(constB61, bitIndex0))))))),
% 13.69/8.98 inference(rewrite,[status(thm)],[])).
% 13.69/8.98 tff(2178,plain,
% 13.69/8.98 ((v122(constB61) <=> (~(v90(constB61, bitIndex2) | (~v90(constB61, bitIndex0)) | (~v90(constB61, bitIndex1))))) <=> (v122(constB61) <=> (~(v90(constB61, bitIndex2) | (~v90(constB61, bitIndex1)) | (~v90(constB61, bitIndex0)))))),
% 13.69/8.98 inference(rewrite,[status(thm)],[])).
% 13.69/8.98 tff(2179,plain,
% 13.69/8.98 (((~![VarCurr: $i] : (v122(VarCurr) <=> (~(v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)))))) | (v122(constB61) <=> (~(v90(constB61, bitIndex2) | (~v90(constB61, bitIndex0)) | (~v90(constB61, bitIndex1)))))) <=> ((~![VarCurr: $i] : (v122(VarCurr) <=> (~(v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)))))) | (v122(constB61) <=> (~(v90(constB61, bitIndex2) | (~v90(constB61, bitIndex1)) | (~v90(constB61, bitIndex0))))))),
% 13.69/8.98 inference(monotonicity,[status(thm)],[2178])).
% 13.69/8.98 tff(2180,plain,
% 13.69/8.98 (((~![VarCurr: $i] : (v122(VarCurr) <=> (~(v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)))))) | (v122(constB61) <=> (~(v90(constB61, bitIndex2) | (~v90(constB61, bitIndex0)) | (~v90(constB61, bitIndex1)))))) <=> ((~![VarCurr: $i] : (v122(VarCurr) <=> (~(v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)))))) | (v122(constB61) <=> (~(v90(constB61, bitIndex2) | (~v90(constB61, bitIndex1)) | (~v90(constB61, bitIndex0))))))),
% 13.69/8.98 inference(transitivity,[status(thm)],[2179, 2177])).
% 13.69/8.98 tff(2181,plain,
% 13.69/8.98 ((~![VarCurr: $i] : (v122(VarCurr) <=> (~(v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)))))) | (v122(constB61) <=> (~(v90(constB61, bitIndex2) | (~v90(constB61, bitIndex0)) | (~v90(constB61, bitIndex1)))))),
% 13.69/8.98 inference(quant_inst,[status(thm)],[])).
% 13.69/8.98 tff(2182,plain,
% 13.69/8.98 ((~![VarCurr: $i] : (v122(VarCurr) <=> (~(v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)))))) | (v122(constB61) <=> (~(v90(constB61, bitIndex2) | (~v90(constB61, bitIndex1)) | (~v90(constB61, bitIndex0)))))),
% 13.69/8.98 inference(modus_ponens,[status(thm)],[2181, 2180])).
% 13.69/8.98 tff(2183,plain,
% 13.69/8.98 (v122(constB61) <=> (~(v90(constB61, bitIndex2) | (~v90(constB61, bitIndex1)) | (~v90(constB61, bitIndex0))))),
% 13.69/8.98 inference(unit_resolution,[status(thm)],[2182, 734])).
% 13.69/8.98 tff(2184,plain,
% 13.69/8.98 (nextState(constB60, constB61) <=> nextState(constB60, constB61)),
% 13.69/8.98 inference(rewrite,[status(thm)],[])).
% 13.69/8.98 tff(2185,axiom,(nextState(constB60, constB61)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_60')).
% 13.69/8.98 tff(2186,plain,
% 13.69/8.98 (nextState(constB60, constB61)),
% 13.69/8.98 inference(modus_ponens,[status(thm)],[2185, 2184])).
% 13.69/8.98 tff(2187,plain,
% 13.69/8.98 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB60, constB61)) | (v100(constB61) <=> (~((~v101(constB61)) | (~v110(constB61))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB60, constB61)) | (v100(constB61) <=> (~((~v101(constB61)) | (~v110(constB61))))))),
% 13.69/8.98 inference(rewrite,[status(thm)],[])).
% 13.69/8.98 tff(2188,plain,
% 13.69/8.98 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB60, constB61)) | (v100(constB61) <=> (~((~v101(constB61)) | (~v110(constB61))))))),
% 13.69/8.98 inference(quant_inst,[status(thm)],[])).
% 13.69/8.98 tff(2189,plain,
% 13.69/8.98 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB60, constB61)) | (v100(constB61) <=> (~((~v101(constB61)) | (~v110(constB61)))))),
% 13.69/8.98 inference(modus_ponens,[status(thm)],[2188, 2187])).
% 13.69/8.98 tff(2190,plain,
% 13.69/8.98 (v100(constB61) <=> (~((~v101(constB61)) | (~v110(constB61))))),
% 13.69/8.98 inference(unit_resolution,[status(thm)],[2189, 2186, 430])).
% 13.69/8.98 tff(2191,plain,
% 13.69/8.98 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB60, constB61)) | (v101(constB61) <=> (~((~v1(constB61)) | (~v102(constB61))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB60, constB61)) | (v101(constB61) <=> (~((~v1(constB61)) | (~v102(constB61))))))),
% 13.69/8.98 inference(rewrite,[status(thm)],[])).
% 13.69/8.98 tff(2192,plain,
% 13.69/8.98 (((~nextState(constB60, constB61)) | (v101(constB61) <=> (~((~v102(constB61)) | (~v1(constB61)))))) <=> ((~nextState(constB60, constB61)) | (v101(constB61) <=> (~((~v1(constB61)) | (~v102(constB61))))))),
% 13.69/8.98 inference(rewrite,[status(thm)],[])).
% 13.69/8.98 tff(2193,plain,
% 13.69/8.98 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB60, constB61)) | (v101(constB61) <=> (~((~v102(constB61)) | (~v1(constB61))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB60, constB61)) | (v101(constB61) <=> (~((~v1(constB61)) | (~v102(constB61)))))))),
% 13.69/8.98 inference(monotonicity,[status(thm)],[2192])).
% 13.69/8.98 tff(2194,plain,
% 13.69/8.98 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB60, constB61)) | (v101(constB61) <=> (~((~v102(constB61)) | (~v1(constB61))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB60, constB61)) | (v101(constB61) <=> (~((~v1(constB61)) | (~v102(constB61))))))),
% 13.78/8.98 inference(transitivity,[status(thm)],[2193, 2191])).
% 13.78/8.98 tff(2195,plain,
% 13.78/8.98 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB60, constB61)) | (v101(constB61) <=> (~((~v102(constB61)) | (~v1(constB61))))))),
% 13.78/8.98 inference(quant_inst,[status(thm)],[])).
% 13.78/8.98 tff(2196,plain,
% 13.78/8.98 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB60, constB61)) | (v101(constB61) <=> (~((~v1(constB61)) | (~v102(constB61)))))),
% 13.78/8.98 inference(modus_ponens,[status(thm)],[2195, 2194])).
% 13.78/8.98 tff(2197,plain,
% 13.78/8.98 (v101(constB61) <=> (~((~v1(constB61)) | (~v102(constB61))))),
% 13.78/8.98 inference(unit_resolution,[status(thm)],[2196, 2186, 450])).
% 13.78/8.98 tff(2198,plain,
% 13.78/8.98 (((~v1(constB61)) | (~v102(constB61))) | v1(constB61)),
% 13.78/8.98 inference(tautology,[status(thm)],[])).
% 13.78/8.98 tff(2199,plain,
% 13.78/8.98 ((~v1(constB61)) | (~v102(constB61))),
% 13.78/8.98 inference(unit_resolution,[status(thm)],[2198, 2147])).
% 13.78/8.98 tff(2200,plain,
% 13.78/8.98 ((~(v101(constB61) <=> (~((~v1(constB61)) | (~v102(constB61)))))) | (~v101(constB61)) | (~((~v1(constB61)) | (~v102(constB61))))),
% 13.78/8.98 inference(tautology,[status(thm)],[])).
% 13.78/8.98 tff(2201,plain,
% 13.78/8.98 ((~(v101(constB61) <=> (~((~v1(constB61)) | (~v102(constB61)))))) | (~v101(constB61))),
% 13.78/8.98 inference(unit_resolution,[status(thm)],[2200, 2199])).
% 13.78/8.98 tff(2202,plain,
% 13.78/8.98 (~v101(constB61)),
% 13.78/8.98 inference(unit_resolution,[status(thm)],[2201, 2197])).
% 13.78/8.98 tff(2203,plain,
% 13.78/8.98 (((~v101(constB61)) | (~v110(constB61))) | v101(constB61)),
% 13.78/8.98 inference(tautology,[status(thm)],[])).
% 13.78/8.98 tff(2204,plain,
% 13.78/8.98 ((~v101(constB61)) | (~v110(constB61))),
% 13.78/8.98 inference(unit_resolution,[status(thm)],[2203, 2202])).
% 13.78/8.98 tff(2205,plain,
% 13.78/8.98 ((~(v100(constB61) <=> (~((~v101(constB61)) | (~v110(constB61)))))) | (~v100(constB61)) | (~((~v101(constB61)) | (~v110(constB61))))),
% 13.78/8.98 inference(tautology,[status(thm)],[])).
% 13.78/8.98 tff(2206,plain,
% 13.78/8.98 (~v100(constB61)),
% 13.78/8.98 inference(unit_resolution,[status(thm)],[2205, 2204, 2190])).
% 13.78/8.98 tff(2207,plain,
% 13.78/8.98 (((~![VarCurr: $i, VarNext: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v90(VarCurr, B))))) | (v100(constB61) | (~nextState(constB60, constB61)) | ![B: $i] : ((~less_3(B)) | (v90(constB61, B) <=> v90(constB60, B))))) <=> ((~![VarCurr: $i, VarNext: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v90(VarCurr, B))))) | v100(constB61) | (~nextState(constB60, constB61)) | ![B: $i] : ((~less_3(B)) | (v90(constB61, B) <=> v90(constB60, B))))),
% 13.78/8.98 inference(rewrite,[status(thm)],[])).
% 13.78/8.98 tff(2208,plain,
% 13.78/8.98 ((~![VarCurr: $i, VarNext: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v90(VarCurr, B))))) | (v100(constB61) | (~nextState(constB60, constB61)) | ![B: $i] : ((~less_3(B)) | (v90(constB61, B) <=> v90(constB60, B))))),
% 13.78/8.98 inference(quant_inst,[status(thm)],[])).
% 13.78/8.98 tff(2209,plain,
% 13.78/8.98 ((~![VarCurr: $i, VarNext: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v90(VarCurr, B))))) | v100(constB61) | (~nextState(constB60, constB61)) | ![B: $i] : ((~less_3(B)) | (v90(constB61, B) <=> v90(constB60, B)))),
% 13.78/8.98 inference(modus_ponens,[status(thm)],[2208, 2207])).
% 13.78/8.98 tff(2210,plain,
% 13.78/8.98 (v100(constB61) | ![B: $i] : ((~less_3(B)) | (v90(constB61, B) <=> v90(constB60, B)))),
% 13.78/8.98 inference(unit_resolution,[status(thm)],[2209, 2186, 479])).
% 13.78/8.98 tff(2211,plain,
% 13.78/8.98 (![B: $i] : ((~less_3(B)) | (v90(constB61, B) <=> v90(constB60, B)))),
% 13.78/8.98 inference(unit_resolution,[status(thm)],[2210, 2206])).
% 13.78/8.98 tff(2212,plain,
% 13.78/8.98 (((~![B: $i] : ((~less_3(B)) | (v90(constB61, B) <=> v90(constB60, B)))) | ((~less_3(bitIndex2)) | (v90(constB61, bitIndex2) <=> v90(constB60, bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v90(constB61, B) <=> v90(constB60, B)))) | (~less_3(bitIndex2)) | (v90(constB61, bitIndex2) <=> v90(constB60, bitIndex2)))),
% 13.78/8.98 inference(rewrite,[status(thm)],[])).
% 13.78/8.98 tff(2213,plain,
% 13.78/8.98 ((~![B: $i] : ((~less_3(B)) | (v90(constB61, B) <=> v90(constB60, B)))) | ((~less_3(bitIndex2)) | (v90(constB61, bitIndex2) <=> v90(constB60, bitIndex2)))),
% 13.78/8.98 inference(quant_inst,[status(thm)],[])).
% 13.78/8.98 tff(2214,plain,
% 13.78/8.98 ((~![B: $i] : ((~less_3(B)) | (v90(constB61, B) <=> v90(constB60, B)))) | (~less_3(bitIndex2)) | (v90(constB61, bitIndex2) <=> v90(constB60, bitIndex2))),
% 13.78/8.98 inference(modus_ponens,[status(thm)],[2213, 2212])).
% 13.78/8.98 tff(2215,plain,
% 13.78/8.98 (v90(constB61, bitIndex2) <=> v90(constB60, bitIndex2)),
% 13.78/8.98 inference(unit_resolution,[status(thm)],[2214, 413, 2211])).
% 13.78/8.98 tff(2216,plain,
% 13.78/8.98 (nextState(constB59, constB60) <=> nextState(constB59, constB60)),
% 13.78/8.98 inference(rewrite,[status(thm)],[])).
% 13.78/8.98 tff(2217,axiom,(nextState(constB59, constB60)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_59')).
% 13.78/8.98 tff(2218,plain,
% 13.78/8.98 (nextState(constB59, constB60)),
% 13.78/8.98 inference(modus_ponens,[status(thm)],[2217, 2216])).
% 13.78/8.98 tff(2219,plain,
% 13.78/8.98 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB59, constB60)) | (v100(constB60) <=> (~((~v101(constB60)) | (~v110(constB60))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB59, constB60)) | (v100(constB60) <=> (~((~v101(constB60)) | (~v110(constB60))))))),
% 13.78/8.98 inference(rewrite,[status(thm)],[])).
% 13.78/8.98 tff(2220,plain,
% 13.78/8.98 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB59, constB60)) | (v100(constB60) <=> (~((~v101(constB60)) | (~v110(constB60))))))),
% 13.78/8.98 inference(quant_inst,[status(thm)],[])).
% 13.78/8.98 tff(2221,plain,
% 13.78/8.98 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB59, constB60)) | (v100(constB60) <=> (~((~v101(constB60)) | (~v110(constB60)))))),
% 13.78/8.98 inference(modus_ponens,[status(thm)],[2220, 2219])).
% 13.78/8.98 tff(2222,plain,
% 13.78/8.98 (v100(constB60) <=> (~((~v101(constB60)) | (~v110(constB60))))),
% 13.78/8.98 inference(unit_resolution,[status(thm)],[2221, 2218, 430])).
% 13.78/8.98 tff(2223,plain,
% 13.78/8.98 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB59, constB60)) | (v101(constB60) <=> (~((~v1(constB60)) | (~v102(constB60))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB59, constB60)) | (v101(constB60) <=> (~((~v1(constB60)) | (~v102(constB60))))))),
% 13.78/8.98 inference(rewrite,[status(thm)],[])).
% 13.78/8.98 tff(2224,plain,
% 13.78/8.98 (((~nextState(constB59, constB60)) | (v101(constB60) <=> (~((~v102(constB60)) | (~v1(constB60)))))) <=> ((~nextState(constB59, constB60)) | (v101(constB60) <=> (~((~v1(constB60)) | (~v102(constB60))))))),
% 13.78/8.98 inference(rewrite,[status(thm)],[])).
% 13.78/8.98 tff(2225,plain,
% 13.78/8.98 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB59, constB60)) | (v101(constB60) <=> (~((~v102(constB60)) | (~v1(constB60))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB59, constB60)) | (v101(constB60) <=> (~((~v1(constB60)) | (~v102(constB60)))))))),
% 13.78/8.98 inference(monotonicity,[status(thm)],[2224])).
% 13.78/8.98 tff(2226,plain,
% 13.78/8.98 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB59, constB60)) | (v101(constB60) <=> (~((~v102(constB60)) | (~v1(constB60))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB59, constB60)) | (v101(constB60) <=> (~((~v1(constB60)) | (~v102(constB60))))))),
% 13.78/8.99 inference(transitivity,[status(thm)],[2225, 2223])).
% 13.78/8.99 tff(2227,plain,
% 13.78/8.99 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB59, constB60)) | (v101(constB60) <=> (~((~v102(constB60)) | (~v1(constB60))))))),
% 13.78/8.99 inference(quant_inst,[status(thm)],[])).
% 13.78/8.99 tff(2228,plain,
% 13.78/8.99 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB59, constB60)) | (v101(constB60) <=> (~((~v1(constB60)) | (~v102(constB60)))))),
% 13.78/8.99 inference(modus_ponens,[status(thm)],[2227, 2226])).
% 13.78/8.99 tff(2229,plain,
% 13.78/8.99 (v101(constB60) <=> (~((~v1(constB60)) | (~v102(constB60))))),
% 13.78/8.99 inference(unit_resolution,[status(thm)],[2228, 2218, 450])).
% 13.78/8.99 tff(2230,plain,
% 13.78/8.99 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | ((~nextState(constB59, constB60)) | ((~v102(constB60)) <=> v104(constB60)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | (~nextState(constB59, constB60)) | ((~v102(constB60)) <=> v104(constB60)))),
% 13.78/8.99 inference(rewrite,[status(thm)],[])).
% 13.78/8.99 tff(2231,plain,
% 13.78/8.99 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | ((~nextState(constB59, constB60)) | ((~v102(constB60)) <=> v104(constB60)))),
% 13.78/8.99 inference(quant_inst,[status(thm)],[])).
% 13.78/8.99 tff(2232,plain,
% 13.78/8.99 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | (~nextState(constB59, constB60)) | ((~v102(constB60)) <=> v104(constB60))),
% 13.78/8.99 inference(modus_ponens,[status(thm)],[2231, 2230])).
% 13.78/8.99 tff(2233,plain,
% 13.78/8.99 ((~v102(constB60)) <=> v104(constB60)),
% 13.78/8.99 inference(unit_resolution,[status(thm)],[2232, 2218, 512])).
% 13.78/8.99 tff(2234,plain,
% 13.78/8.99 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB59, constB60)) | (v104(constB60) <=> v1(constB59)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | (~nextState(constB59, constB60)) | (v104(constB60) <=> v1(constB59)))),
% 13.78/8.99 inference(rewrite,[status(thm)],[])).
% 13.78/8.99 tff(2235,plain,
% 13.78/8.99 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB59, constB60)) | (v104(constB60) <=> v1(constB59)))),
% 13.78/8.99 inference(quant_inst,[status(thm)],[])).
% 13.78/8.99 tff(2236,plain,
% 13.78/8.99 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | (~nextState(constB59, constB60)) | (v104(constB60) <=> v1(constB59))),
% 13.78/8.99 inference(modus_ponens,[status(thm)],[2235, 2234])).
% 13.78/8.99 tff(2237,plain,
% 13.78/8.99 (v104(constB60) <=> v1(constB59)),
% 13.78/8.99 inference(unit_resolution,[status(thm)],[2236, 2218, 526])).
% 13.78/8.99 tff(2238,plain,
% 13.78/8.99 ((~v1(constB59)) <=> (~v1(constB59))),
% 13.78/8.99 inference(rewrite,[status(thm)],[])).
% 13.78/8.99 tff(2239,axiom,(~v1(constB59)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_59')).
% 13.78/8.99 tff(2240,plain,
% 13.78/8.99 (~v1(constB59)),
% 13.78/8.99 inference(modus_ponens,[status(thm)],[2239, 2238])).
% 13.78/8.99 tff(2241,plain,
% 13.78/8.99 ((~(v104(constB60) <=> v1(constB59))) | (~v104(constB60)) | v1(constB59)),
% 13.78/8.99 inference(tautology,[status(thm)],[])).
% 13.78/8.99 tff(2242,plain,
% 13.78/8.99 ((~(v104(constB60) <=> v1(constB59))) | (~v104(constB60))),
% 13.78/8.99 inference(unit_resolution,[status(thm)],[2241, 2240])).
% 13.78/8.99 tff(2243,plain,
% 13.78/8.99 (~v104(constB60)),
% 13.78/8.99 inference(unit_resolution,[status(thm)],[2242, 2237])).
% 13.78/8.99 tff(2244,plain,
% 13.78/8.99 ((~((~v102(constB60)) <=> v104(constB60))) | v102(constB60) | v104(constB60)),
% 13.78/8.99 inference(tautology,[status(thm)],[])).
% 13.78/8.99 tff(2245,plain,
% 13.78/8.99 (v102(constB60)),
% 13.78/8.99 inference(unit_resolution,[status(thm)],[2244, 2243, 2233])).
% 13.78/8.99 tff(2246,plain,
% 13.78/8.99 (v1(constB60) <=> v1(constB60)),
% 13.78/8.99 inference(rewrite,[status(thm)],[])).
% 13.78/8.99 tff(2247,axiom,(v1(constB60)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_60')).
% 13.78/8.99 tff(2248,plain,
% 13.78/8.99 (v1(constB60)),
% 13.78/8.99 inference(modus_ponens,[status(thm)],[2247, 2246])).
% 13.78/8.99 tff(2249,plain,
% 13.78/8.99 ((~((~v1(constB60)) | (~v102(constB60)))) | (~v1(constB60)) | (~v102(constB60))),
% 13.78/8.99 inference(tautology,[status(thm)],[])).
% 13.78/8.99 tff(2250,plain,
% 13.78/8.99 ((~((~v1(constB60)) | (~v102(constB60)))) | (~v102(constB60))),
% 13.78/8.99 inference(unit_resolution,[status(thm)],[2249, 2248])).
% 13.78/8.99 tff(2251,plain,
% 13.78/8.99 (~((~v1(constB60)) | (~v102(constB60)))),
% 13.78/8.99 inference(unit_resolution,[status(thm)],[2250, 2245])).
% 13.78/8.99 tff(2252,plain,
% 13.78/8.99 ((~(v101(constB60) <=> (~((~v1(constB60)) | (~v102(constB60)))))) | v101(constB60) | ((~v1(constB60)) | (~v102(constB60)))),
% 13.78/8.99 inference(tautology,[status(thm)],[])).
% 13.78/8.99 tff(2253,plain,
% 13.78/8.99 (v101(constB60)),
% 13.78/8.99 inference(unit_resolution,[status(thm)],[2252, 2251, 2229])).
% 13.78/8.99 tff(2254,plain,
% 13.78/8.99 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | ((~nextState(constB59, constB60)) | (v110(constB60) <=> v108(constB59)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | (~nextState(constB59, constB60)) | (v110(constB60) <=> v108(constB59)))),
% 13.78/8.99 inference(rewrite,[status(thm)],[])).
% 13.78/8.99 tff(2255,plain,
% 13.78/8.99 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | ((~nextState(constB59, constB60)) | (v110(constB60) <=> v108(constB59)))),
% 13.78/8.99 inference(quant_inst,[status(thm)],[])).
% 13.78/8.99 tff(2256,plain,
% 13.78/8.99 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | (~nextState(constB59, constB60)) | (v110(constB60) <=> v108(constB59))),
% 13.78/8.99 inference(modus_ponens,[status(thm)],[2255, 2254])).
% 13.78/8.99 tff(2257,plain,
% 13.78/8.99 (v110(constB60) <=> v108(constB59)),
% 13.78/8.99 inference(unit_resolution,[status(thm)],[2256, 2218, 556])).
% 13.78/8.99 tff(2258,plain,
% 13.78/8.99 ((~![VarCurr: $i] : (v108(VarCurr) <=> (v111(VarCurr) | v112(VarCurr)))) | (v108(constB59) <=> (v111(constB59) | v112(constB59)))),
% 13.78/8.99 inference(quant_inst,[status(thm)],[])).
% 13.78/8.99 tff(2259,plain,
% 13.78/8.99 (v108(constB59) <=> (v111(constB59) | v112(constB59))),
% 13.78/8.99 inference(unit_resolution,[status(thm)],[2258, 567])).
% 13.78/8.99 tff(2260,plain,
% 13.78/8.99 ((~![VarCurr: $i] : (v112(VarCurr) <=> (~((~v113(VarCurr)) | (~v126(VarCurr)))))) | (v112(constB59) <=> (~((~v113(constB59)) | (~v126(constB59)))))),
% 13.78/8.99 inference(quant_inst,[status(thm)],[])).
% 13.78/8.99 tff(2261,plain,
% 13.78/8.99 (v112(constB59) <=> (~((~v113(constB59)) | (~v126(constB59))))),
% 13.78/8.99 inference(unit_resolution,[status(thm)],[2260, 579])).
% 13.78/8.99 tff(2262,plain,
% 13.78/8.99 ((~![VarCurr: $i] : (v113(VarCurr) <=> (v114(VarCurr) | v125(VarCurr)))) | (v113(constB59) <=> (v114(constB59) | v125(constB59)))),
% 13.78/8.99 inference(quant_inst,[status(thm)],[])).
% 13.78/8.99 tff(2263,plain,
% 13.78/8.99 (v113(constB59) <=> (v114(constB59) | v125(constB59))),
% 13.78/8.99 inference(unit_resolution,[status(thm)],[2262, 588])).
% 13.78/8.99 tff(2264,plain,
% 13.78/8.99 ((~![VarCurr: $i] : (v114(VarCurr) <=> (v115(VarCurr) | v124(VarCurr)))) | (v114(constB59) <=> (v115(constB59) | v124(constB59)))),
% 13.78/8.99 inference(quant_inst,[status(thm)],[])).
% 13.78/8.99 tff(2265,plain,
% 13.78/8.99 (v114(constB59) <=> (v115(constB59) | v124(constB59))),
% 13.78/8.99 inference(unit_resolution,[status(thm)],[2264, 597])).
% 13.78/8.99 tff(2266,plain,
% 13.78/8.99 ((~![VarCurr: $i] : (v115(VarCurr) <=> (v116(VarCurr) | v123(VarCurr)))) | (v115(constB59) <=> (v116(constB59) | v123(constB59)))),
% 13.78/8.99 inference(quant_inst,[status(thm)],[])).
% 13.78/8.99 tff(2267,plain,
% 13.78/8.99 (v115(constB59) <=> (v116(constB59) | v123(constB59))),
% 13.78/8.99 inference(unit_resolution,[status(thm)],[2266, 606])).
% 13.78/8.99 tff(2268,plain,
% 13.78/8.99 ((~![VarCurr: $i] : (v116(VarCurr) <=> (v117(VarCurr) | v122(VarCurr)))) | (v116(constB59) <=> (v117(constB59) | v122(constB59)))),
% 13.78/8.99 inference(quant_inst,[status(thm)],[])).
% 13.78/8.99 tff(2269,plain,
% 13.78/8.99 (v116(constB59) <=> (v117(constB59) | v122(constB59))),
% 13.78/8.99 inference(unit_resolution,[status(thm)],[2268, 719])).
% 13.78/8.99 tff(2270,plain,
% 13.78/8.99 ((~![VarCurr: $i] : (v117(VarCurr) <=> (v118(VarCurr) | v121(VarCurr)))) | (v117(constB59) <=> (v118(constB59) | v121(constB59)))),
% 13.78/8.99 inference(quant_inst,[status(thm)],[])).
% 13.78/8.99 tff(2271,plain,
% 13.78/8.99 (v117(constB59) <=> (v118(constB59) | v121(constB59))),
% 13.78/8.99 inference(unit_resolution,[status(thm)],[2270, 834])).
% 13.78/8.99 tff(2272,plain,
% 13.78/8.99 (((~![VarCurr: $i] : (v121(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex1)))))) | (v121(constB59) <=> (~(v90(constB59, bitIndex2) | (~v90(constB59, bitIndex1)) | v90(constB59, bitIndex0))))) <=> ((~![VarCurr: $i] : (v121(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex1)))))) | (v121(constB59) <=> (~(v90(constB59, bitIndex2) | (~v90(constB59, bitIndex1)) | v90(constB59, bitIndex0)))))),
% 13.78/8.99 inference(rewrite,[status(thm)],[])).
% 13.78/8.99 tff(2273,plain,
% 13.78/8.99 ((v121(constB59) <=> (~(v90(constB59, bitIndex0) | v90(constB59, bitIndex2) | (~v90(constB59, bitIndex1))))) <=> (v121(constB59) <=> (~(v90(constB59, bitIndex2) | (~v90(constB59, bitIndex1)) | v90(constB59, bitIndex0))))),
% 13.78/8.99 inference(rewrite,[status(thm)],[])).
% 13.78/8.99 tff(2274,plain,
% 13.78/8.99 (((~![VarCurr: $i] : (v121(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex1)))))) | (v121(constB59) <=> (~(v90(constB59, bitIndex0) | v90(constB59, bitIndex2) | (~v90(constB59, bitIndex1)))))) <=> ((~![VarCurr: $i] : (v121(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex1)))))) | (v121(constB59) <=> (~(v90(constB59, bitIndex2) | (~v90(constB59, bitIndex1)) | v90(constB59, bitIndex0)))))),
% 13.78/8.99 inference(monotonicity,[status(thm)],[2273])).
% 13.78/8.99 tff(2275,plain,
% 13.78/8.99 (((~![VarCurr: $i] : (v121(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex1)))))) | (v121(constB59) <=> (~(v90(constB59, bitIndex0) | v90(constB59, bitIndex2) | (~v90(constB59, bitIndex1)))))) <=> ((~![VarCurr: $i] : (v121(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex1)))))) | (v121(constB59) <=> (~(v90(constB59, bitIndex2) | (~v90(constB59, bitIndex1)) | v90(constB59, bitIndex0)))))),
% 13.78/8.99 inference(transitivity,[status(thm)],[2274, 2272])).
% 13.78/8.99 tff(2276,plain,
% 13.78/8.99 ((~![VarCurr: $i] : (v121(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex1)))))) | (v121(constB59) <=> (~(v90(constB59, bitIndex0) | v90(constB59, bitIndex2) | (~v90(constB59, bitIndex1)))))),
% 13.78/8.99 inference(quant_inst,[status(thm)],[])).
% 13.78/8.99 tff(2277,plain,
% 13.78/8.99 ((~![VarCurr: $i] : (v121(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex1)))))) | (v121(constB59) <=> (~(v90(constB59, bitIndex2) | (~v90(constB59, bitIndex1)) | v90(constB59, bitIndex0))))),
% 13.78/8.99 inference(modus_ponens,[status(thm)],[2276, 2275])).
% 13.78/8.99 tff(2278,plain,
% 13.78/8.99 (v121(constB59) <=> (~(v90(constB59, bitIndex2) | (~v90(constB59, bitIndex1)) | v90(constB59, bitIndex0)))),
% 13.78/8.99 inference(unit_resolution,[status(thm)],[2277, 849])).
% 13.78/8.99 tff(2279,plain,
% 13.78/8.99 (nextState(constB58, constB59) <=> nextState(constB58, constB59)),
% 13.78/8.99 inference(rewrite,[status(thm)],[])).
% 13.78/8.99 tff(2280,axiom,(nextState(constB58, constB59)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_58')).
% 13.78/8.99 tff(2281,plain,
% 13.78/8.99 (nextState(constB58, constB59)),
% 13.78/8.99 inference(modus_ponens,[status(thm)],[2280, 2279])).
% 13.78/8.99 tff(2282,plain,
% 13.78/8.99 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB58, constB59)) | (v100(constB59) <=> (~((~v101(constB59)) | (~v110(constB59))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB58, constB59)) | (v100(constB59) <=> (~((~v101(constB59)) | (~v110(constB59))))))),
% 13.78/8.99 inference(rewrite,[status(thm)],[])).
% 13.78/8.99 tff(2283,plain,
% 13.78/8.99 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB58, constB59)) | (v100(constB59) <=> (~((~v101(constB59)) | (~v110(constB59))))))),
% 13.80/8.99 inference(quant_inst,[status(thm)],[])).
% 13.80/8.99 tff(2284,plain,
% 13.80/8.99 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB58, constB59)) | (v100(constB59) <=> (~((~v101(constB59)) | (~v110(constB59)))))),
% 13.80/8.99 inference(modus_ponens,[status(thm)],[2283, 2282])).
% 13.80/8.99 tff(2285,plain,
% 13.80/8.99 (v100(constB59) <=> (~((~v101(constB59)) | (~v110(constB59))))),
% 13.80/8.99 inference(unit_resolution,[status(thm)],[2284, 2281, 430])).
% 13.80/8.99 tff(2286,plain,
% 13.80/8.99 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB58, constB59)) | (v101(constB59) <=> (~((~v1(constB59)) | (~v102(constB59))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB58, constB59)) | (v101(constB59) <=> (~((~v1(constB59)) | (~v102(constB59))))))),
% 13.80/8.99 inference(rewrite,[status(thm)],[])).
% 13.80/8.99 tff(2287,plain,
% 13.80/8.99 (((~nextState(constB58, constB59)) | (v101(constB59) <=> (~((~v102(constB59)) | (~v1(constB59)))))) <=> ((~nextState(constB58, constB59)) | (v101(constB59) <=> (~((~v1(constB59)) | (~v102(constB59))))))),
% 13.80/8.99 inference(rewrite,[status(thm)],[])).
% 13.80/8.99 tff(2288,plain,
% 13.80/8.99 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB58, constB59)) | (v101(constB59) <=> (~((~v102(constB59)) | (~v1(constB59))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB58, constB59)) | (v101(constB59) <=> (~((~v1(constB59)) | (~v102(constB59)))))))),
% 13.80/8.99 inference(monotonicity,[status(thm)],[2287])).
% 13.80/8.99 tff(2289,plain,
% 13.80/8.99 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB58, constB59)) | (v101(constB59) <=> (~((~v102(constB59)) | (~v1(constB59))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB58, constB59)) | (v101(constB59) <=> (~((~v1(constB59)) | (~v102(constB59))))))),
% 13.80/8.99 inference(transitivity,[status(thm)],[2288, 2286])).
% 13.80/8.99 tff(2290,plain,
% 13.80/8.99 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB58, constB59)) | (v101(constB59) <=> (~((~v102(constB59)) | (~v1(constB59))))))),
% 13.80/8.99 inference(quant_inst,[status(thm)],[])).
% 13.80/8.99 tff(2291,plain,
% 13.80/8.99 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB58, constB59)) | (v101(constB59) <=> (~((~v1(constB59)) | (~v102(constB59)))))),
% 13.80/8.99 inference(modus_ponens,[status(thm)],[2290, 2289])).
% 13.80/8.99 tff(2292,plain,
% 13.80/8.99 (v101(constB59) <=> (~((~v1(constB59)) | (~v102(constB59))))),
% 13.80/8.99 inference(unit_resolution,[status(thm)],[2291, 2281, 450])).
% 13.80/8.99 tff(2293,plain,
% 13.80/8.99 (((~v1(constB59)) | (~v102(constB59))) | v1(constB59)),
% 13.80/8.99 inference(tautology,[status(thm)],[])).
% 13.80/8.99 tff(2294,plain,
% 13.80/8.99 ((~v1(constB59)) | (~v102(constB59))),
% 13.80/8.99 inference(unit_resolution,[status(thm)],[2293, 2240])).
% 13.80/8.99 tff(2295,plain,
% 13.80/8.99 ((~(v101(constB59) <=> (~((~v1(constB59)) | (~v102(constB59)))))) | (~v101(constB59)) | (~((~v1(constB59)) | (~v102(constB59))))),
% 13.80/8.99 inference(tautology,[status(thm)],[])).
% 13.80/8.99 tff(2296,plain,
% 13.80/8.99 ((~(v101(constB59) <=> (~((~v1(constB59)) | (~v102(constB59)))))) | (~v101(constB59))),
% 13.80/8.99 inference(unit_resolution,[status(thm)],[2295, 2294])).
% 13.80/8.99 tff(2297,plain,
% 13.80/8.99 (~v101(constB59)),
% 13.80/8.99 inference(unit_resolution,[status(thm)],[2296, 2292])).
% 13.80/8.99 tff(2298,plain,
% 13.80/8.99 (((~v101(constB59)) | (~v110(constB59))) | v101(constB59)),
% 13.80/8.99 inference(tautology,[status(thm)],[])).
% 13.80/9.00 tff(2299,plain,
% 13.80/9.00 ((~v101(constB59)) | (~v110(constB59))),
% 13.80/9.00 inference(unit_resolution,[status(thm)],[2298, 2297])).
% 13.80/9.00 tff(2300,plain,
% 13.80/9.00 ((~(v100(constB59) <=> (~((~v101(constB59)) | (~v110(constB59)))))) | (~v100(constB59)) | (~((~v101(constB59)) | (~v110(constB59))))),
% 13.80/9.00 inference(tautology,[status(thm)],[])).
% 13.80/9.00 tff(2301,plain,
% 13.80/9.00 (~v100(constB59)),
% 13.80/9.00 inference(unit_resolution,[status(thm)],[2300, 2299, 2285])).
% 13.80/9.00 tff(2302,plain,
% 13.80/9.00 (((~![VarCurr: $i, VarNext: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v90(VarCurr, B))))) | (v100(constB59) | (~nextState(constB58, constB59)) | ![B: $i] : ((~less_3(B)) | (v90(constB59, B) <=> v90(constB58, B))))) <=> ((~![VarCurr: $i, VarNext: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v90(VarCurr, B))))) | v100(constB59) | (~nextState(constB58, constB59)) | ![B: $i] : ((~less_3(B)) | (v90(constB59, B) <=> v90(constB58, B))))),
% 13.80/9.00 inference(rewrite,[status(thm)],[])).
% 13.80/9.00 tff(2303,plain,
% 13.80/9.00 ((~![VarCurr: $i, VarNext: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v90(VarCurr, B))))) | (v100(constB59) | (~nextState(constB58, constB59)) | ![B: $i] : ((~less_3(B)) | (v90(constB59, B) <=> v90(constB58, B))))),
% 13.80/9.00 inference(quant_inst,[status(thm)],[])).
% 13.80/9.00 tff(2304,plain,
% 13.80/9.00 ((~![VarCurr: $i, VarNext: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v90(VarCurr, B))))) | v100(constB59) | (~nextState(constB58, constB59)) | ![B: $i] : ((~less_3(B)) | (v90(constB59, B) <=> v90(constB58, B)))),
% 13.80/9.00 inference(modus_ponens,[status(thm)],[2303, 2302])).
% 13.80/9.00 tff(2305,plain,
% 13.80/9.00 (v100(constB59) | ![B: $i] : ((~less_3(B)) | (v90(constB59, B) <=> v90(constB58, B)))),
% 13.80/9.00 inference(unit_resolution,[status(thm)],[2304, 2281, 479])).
% 13.80/9.00 tff(2306,plain,
% 13.80/9.00 (![B: $i] : ((~less_3(B)) | (v90(constB59, B) <=> v90(constB58, B)))),
% 13.80/9.00 inference(unit_resolution,[status(thm)],[2305, 2301])).
% 13.80/9.00 tff(2307,plain,
% 13.80/9.00 (((~![B: $i] : ((~less_3(B)) | (v90(constB59, B) <=> v90(constB58, B)))) | ((~less_3(bitIndex2)) | (v90(constB59, bitIndex2) <=> v90(constB58, bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v90(constB59, B) <=> v90(constB58, B)))) | (~less_3(bitIndex2)) | (v90(constB59, bitIndex2) <=> v90(constB58, bitIndex2)))),
% 13.80/9.00 inference(rewrite,[status(thm)],[])).
% 13.80/9.00 tff(2308,plain,
% 13.80/9.00 ((~![B: $i] : ((~less_3(B)) | (v90(constB59, B) <=> v90(constB58, B)))) | ((~less_3(bitIndex2)) | (v90(constB59, bitIndex2) <=> v90(constB58, bitIndex2)))),
% 13.80/9.00 inference(quant_inst,[status(thm)],[])).
% 13.80/9.00 tff(2309,plain,
% 13.80/9.00 ((~![B: $i] : ((~less_3(B)) | (v90(constB59, B) <=> v90(constB58, B)))) | (~less_3(bitIndex2)) | (v90(constB59, bitIndex2) <=> v90(constB58, bitIndex2))),
% 13.80/9.00 inference(modus_ponens,[status(thm)],[2308, 2307])).
% 13.80/9.00 tff(2310,plain,
% 13.80/9.00 (v90(constB59, bitIndex2) <=> v90(constB58, bitIndex2)),
% 13.80/9.00 inference(unit_resolution,[status(thm)],[2309, 413, 2306])).
% 13.80/9.00 tff(2311,plain,
% 13.80/9.00 (nextState(constB57, constB58) <=> nextState(constB57, constB58)),
% 13.80/9.00 inference(rewrite,[status(thm)],[])).
% 13.80/9.00 tff(2312,axiom,(nextState(constB57, constB58)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_57')).
% 13.80/9.00 tff(2313,plain,
% 13.80/9.00 (nextState(constB57, constB58)),
% 13.80/9.00 inference(modus_ponens,[status(thm)],[2312, 2311])).
% 13.80/9.00 tff(2314,plain,
% 13.80/9.00 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB57, constB58)) | (v100(constB58) <=> (~((~v101(constB58)) | (~v110(constB58))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB57, constB58)) | (v100(constB58) <=> (~((~v101(constB58)) | (~v110(constB58))))))),
% 13.80/9.00 inference(rewrite,[status(thm)],[])).
% 13.80/9.00 tff(2315,plain,
% 13.80/9.00 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB57, constB58)) | (v100(constB58) <=> (~((~v101(constB58)) | (~v110(constB58))))))),
% 13.80/9.00 inference(quant_inst,[status(thm)],[])).
% 13.80/9.00 tff(2316,plain,
% 13.80/9.00 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB57, constB58)) | (v100(constB58) <=> (~((~v101(constB58)) | (~v110(constB58)))))),
% 13.80/9.00 inference(modus_ponens,[status(thm)],[2315, 2314])).
% 13.80/9.00 tff(2317,plain,
% 13.80/9.00 (v100(constB58) <=> (~((~v101(constB58)) | (~v110(constB58))))),
% 13.80/9.00 inference(unit_resolution,[status(thm)],[2316, 2313, 430])).
% 13.80/9.00 tff(2318,plain,
% 13.80/9.00 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB57, constB58)) | (v101(constB58) <=> (~((~v1(constB58)) | (~v102(constB58))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB57, constB58)) | (v101(constB58) <=> (~((~v1(constB58)) | (~v102(constB58))))))),
% 13.80/9.00 inference(rewrite,[status(thm)],[])).
% 13.80/9.00 tff(2319,plain,
% 13.80/9.00 (((~nextState(constB57, constB58)) | (v101(constB58) <=> (~((~v102(constB58)) | (~v1(constB58)))))) <=> ((~nextState(constB57, constB58)) | (v101(constB58) <=> (~((~v1(constB58)) | (~v102(constB58))))))),
% 13.80/9.00 inference(rewrite,[status(thm)],[])).
% 13.80/9.00 tff(2320,plain,
% 13.80/9.00 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB57, constB58)) | (v101(constB58) <=> (~((~v102(constB58)) | (~v1(constB58))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB57, constB58)) | (v101(constB58) <=> (~((~v1(constB58)) | (~v102(constB58)))))))),
% 13.80/9.00 inference(monotonicity,[status(thm)],[2319])).
% 13.80/9.00 tff(2321,plain,
% 13.80/9.00 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB57, constB58)) | (v101(constB58) <=> (~((~v102(constB58)) | (~v1(constB58))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB57, constB58)) | (v101(constB58) <=> (~((~v1(constB58)) | (~v102(constB58))))))),
% 13.80/9.00 inference(transitivity,[status(thm)],[2320, 2318])).
% 13.80/9.00 tff(2322,plain,
% 13.80/9.00 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB57, constB58)) | (v101(constB58) <=> (~((~v102(constB58)) | (~v1(constB58))))))),
% 13.80/9.00 inference(quant_inst,[status(thm)],[])).
% 13.80/9.00 tff(2323,plain,
% 13.80/9.00 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB57, constB58)) | (v101(constB58) <=> (~((~v1(constB58)) | (~v102(constB58)))))),
% 13.80/9.00 inference(modus_ponens,[status(thm)],[2322, 2321])).
% 13.80/9.00 tff(2324,plain,
% 13.80/9.00 (v101(constB58) <=> (~((~v1(constB58)) | (~v102(constB58))))),
% 13.80/9.00 inference(unit_resolution,[status(thm)],[2323, 2313, 450])).
% 13.80/9.00 tff(2325,plain,
% 13.80/9.00 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | ((~nextState(constB57, constB58)) | ((~v102(constB58)) <=> v104(constB58)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | (~nextState(constB57, constB58)) | ((~v102(constB58)) <=> v104(constB58)))),
% 13.80/9.00 inference(rewrite,[status(thm)],[])).
% 13.80/9.00 tff(2326,plain,
% 13.80/9.00 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | ((~nextState(constB57, constB58)) | ((~v102(constB58)) <=> v104(constB58)))),
% 13.80/9.00 inference(quant_inst,[status(thm)],[])).
% 13.80/9.00 tff(2327,plain,
% 13.80/9.00 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | (~nextState(constB57, constB58)) | ((~v102(constB58)) <=> v104(constB58))),
% 13.80/9.00 inference(modus_ponens,[status(thm)],[2326, 2325])).
% 13.80/9.00 tff(2328,plain,
% 13.80/9.00 ((~v102(constB58)) <=> v104(constB58)),
% 13.80/9.00 inference(unit_resolution,[status(thm)],[2327, 2313, 512])).
% 13.80/9.00 tff(2329,plain,
% 13.80/9.00 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB57, constB58)) | (v104(constB58) <=> v1(constB57)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | (~nextState(constB57, constB58)) | (v104(constB58) <=> v1(constB57)))),
% 13.80/9.00 inference(rewrite,[status(thm)],[])).
% 13.80/9.00 tff(2330,plain,
% 13.80/9.00 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB57, constB58)) | (v104(constB58) <=> v1(constB57)))),
% 13.80/9.00 inference(quant_inst,[status(thm)],[])).
% 13.80/9.00 tff(2331,plain,
% 13.80/9.00 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | (~nextState(constB57, constB58)) | (v104(constB58) <=> v1(constB57))),
% 13.80/9.00 inference(modus_ponens,[status(thm)],[2330, 2329])).
% 13.80/9.00 tff(2332,plain,
% 13.80/9.00 (v104(constB58) <=> v1(constB57)),
% 13.80/9.00 inference(unit_resolution,[status(thm)],[2331, 2313, 526])).
% 13.80/9.00 tff(2333,plain,
% 13.80/9.00 ((~v1(constB57)) <=> (~v1(constB57))),
% 13.80/9.00 inference(rewrite,[status(thm)],[])).
% 13.80/9.00 tff(2334,axiom,(~v1(constB57)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_57')).
% 13.80/9.00 tff(2335,plain,
% 13.80/9.00 (~v1(constB57)),
% 13.80/9.00 inference(modus_ponens,[status(thm)],[2334, 2333])).
% 13.80/9.00 tff(2336,plain,
% 13.80/9.00 ((~(v104(constB58) <=> v1(constB57))) | (~v104(constB58)) | v1(constB57)),
% 13.80/9.00 inference(tautology,[status(thm)],[])).
% 13.80/9.00 tff(2337,plain,
% 13.80/9.00 ((~(v104(constB58) <=> v1(constB57))) | (~v104(constB58))),
% 13.80/9.00 inference(unit_resolution,[status(thm)],[2336, 2335])).
% 13.80/9.00 tff(2338,plain,
% 13.80/9.00 (~v104(constB58)),
% 13.80/9.00 inference(unit_resolution,[status(thm)],[2337, 2332])).
% 13.80/9.00 tff(2339,plain,
% 13.80/9.00 ((~((~v102(constB58)) <=> v104(constB58))) | v102(constB58) | v104(constB58)),
% 13.80/9.00 inference(tautology,[status(thm)],[])).
% 13.80/9.00 tff(2340,plain,
% 13.80/9.00 (v102(constB58)),
% 13.80/9.00 inference(unit_resolution,[status(thm)],[2339, 2338, 2328])).
% 13.80/9.00 tff(2341,plain,
% 13.80/9.00 (v1(constB58) <=> v1(constB58)),
% 13.80/9.00 inference(rewrite,[status(thm)],[])).
% 13.80/9.00 tff(2342,axiom,(v1(constB58)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_58')).
% 13.80/9.00 tff(2343,plain,
% 13.80/9.00 (v1(constB58)),
% 13.80/9.00 inference(modus_ponens,[status(thm)],[2342, 2341])).
% 13.80/9.00 tff(2344,plain,
% 13.80/9.00 ((~((~v1(constB58)) | (~v102(constB58)))) | (~v1(constB58)) | (~v102(constB58))),
% 13.80/9.00 inference(tautology,[status(thm)],[])).
% 13.80/9.00 tff(2345,plain,
% 13.80/9.00 ((~((~v1(constB58)) | (~v102(constB58)))) | (~v102(constB58))),
% 13.80/9.00 inference(unit_resolution,[status(thm)],[2344, 2343])).
% 13.80/9.00 tff(2346,plain,
% 13.80/9.00 (~((~v1(constB58)) | (~v102(constB58)))),
% 13.80/9.00 inference(unit_resolution,[status(thm)],[2345, 2340])).
% 13.80/9.00 tff(2347,plain,
% 13.80/9.00 ((~(v101(constB58) <=> (~((~v1(constB58)) | (~v102(constB58)))))) | v101(constB58) | ((~v1(constB58)) | (~v102(constB58)))),
% 13.80/9.00 inference(tautology,[status(thm)],[])).
% 13.80/9.00 tff(2348,plain,
% 13.80/9.00 (v101(constB58)),
% 13.80/9.00 inference(unit_resolution,[status(thm)],[2347, 2346, 2324])).
% 13.80/9.00 tff(2349,plain,
% 13.80/9.00 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | ((~nextState(constB57, constB58)) | (v110(constB58) <=> v108(constB57)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | (~nextState(constB57, constB58)) | (v110(constB58) <=> v108(constB57)))),
% 13.80/9.00 inference(rewrite,[status(thm)],[])).
% 13.80/9.00 tff(2350,plain,
% 13.80/9.00 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | ((~nextState(constB57, constB58)) | (v110(constB58) <=> v108(constB57)))),
% 13.80/9.00 inference(quant_inst,[status(thm)],[])).
% 13.80/9.00 tff(2351,plain,
% 13.80/9.00 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | (~nextState(constB57, constB58)) | (v110(constB58) <=> v108(constB57))),
% 13.80/9.00 inference(modus_ponens,[status(thm)],[2350, 2349])).
% 13.80/9.00 tff(2352,plain,
% 13.80/9.00 (v110(constB58) <=> v108(constB57)),
% 13.80/9.00 inference(unit_resolution,[status(thm)],[2351, 2313, 556])).
% 13.80/9.00 tff(2353,plain,
% 13.80/9.00 ((~![VarCurr: $i] : (v108(VarCurr) <=> (v111(VarCurr) | v112(VarCurr)))) | (v108(constB57) <=> (v111(constB57) | v112(constB57)))),
% 13.80/9.00 inference(quant_inst,[status(thm)],[])).
% 13.80/9.00 tff(2354,plain,
% 13.80/9.00 (v108(constB57) <=> (v111(constB57) | v112(constB57))),
% 13.80/9.00 inference(unit_resolution,[status(thm)],[2353, 567])).
% 13.80/9.00 tff(2355,plain,
% 13.80/9.00 ((~![VarCurr: $i] : (v112(VarCurr) <=> (~((~v113(VarCurr)) | (~v126(VarCurr)))))) | (v112(constB57) <=> (~((~v113(constB57)) | (~v126(constB57)))))),
% 13.80/9.00 inference(quant_inst,[status(thm)],[])).
% 13.80/9.00 tff(2356,plain,
% 13.80/9.00 (v112(constB57) <=> (~((~v113(constB57)) | (~v126(constB57))))),
% 13.80/9.00 inference(unit_resolution,[status(thm)],[2355, 579])).
% 13.80/9.00 tff(2357,plain,
% 13.80/9.00 ((~![VarCurr: $i] : (v113(VarCurr) <=> (v114(VarCurr) | v125(VarCurr)))) | (v113(constB57) <=> (v114(constB57) | v125(constB57)))),
% 13.80/9.00 inference(quant_inst,[status(thm)],[])).
% 13.80/9.00 tff(2358,plain,
% 13.80/9.00 (v113(constB57) <=> (v114(constB57) | v125(constB57))),
% 13.80/9.00 inference(unit_resolution,[status(thm)],[2357, 588])).
% 13.80/9.00 tff(2359,plain,
% 13.80/9.00 ((~![VarCurr: $i] : (v114(VarCurr) <=> (v115(VarCurr) | v124(VarCurr)))) | (v114(constB57) <=> (v115(constB57) | v124(constB57)))),
% 13.80/9.00 inference(quant_inst,[status(thm)],[])).
% 13.80/9.00 tff(2360,plain,
% 13.80/9.00 (v114(constB57) <=> (v115(constB57) | v124(constB57))),
% 13.80/9.00 inference(unit_resolution,[status(thm)],[2359, 597])).
% 13.80/9.00 tff(2361,plain,
% 13.80/9.00 ((~![VarCurr: $i] : (v115(VarCurr) <=> (v116(VarCurr) | v123(VarCurr)))) | (v115(constB57) <=> (v116(constB57) | v123(constB57)))),
% 13.80/9.00 inference(quant_inst,[status(thm)],[])).
% 13.80/9.00 tff(2362,plain,
% 13.80/9.00 (v115(constB57) <=> (v116(constB57) | v123(constB57))),
% 13.80/9.00 inference(unit_resolution,[status(thm)],[2361, 606])).
% 13.80/9.00 tff(2363,plain,
% 13.80/9.00 ((~![VarCurr: $i] : (v116(VarCurr) <=> (v117(VarCurr) | v122(VarCurr)))) | (v116(constB57) <=> (v117(constB57) | v122(constB57)))),
% 13.80/9.00 inference(quant_inst,[status(thm)],[])).
% 13.80/9.00 tff(2364,plain,
% 13.80/9.00 (v116(constB57) <=> (v117(constB57) | v122(constB57))),
% 13.80/9.00 inference(unit_resolution,[status(thm)],[2363, 719])).
% 13.80/9.00 tff(2365,plain,
% 13.80/9.00 ((~![VarCurr: $i] : (v117(VarCurr) <=> (v118(VarCurr) | v121(VarCurr)))) | (v117(constB57) <=> (v118(constB57) | v121(constB57)))),
% 13.80/9.00 inference(quant_inst,[status(thm)],[])).
% 13.80/9.00 tff(2366,plain,
% 13.80/9.00 (v117(constB57) <=> (v118(constB57) | v121(constB57))),
% 13.80/9.00 inference(unit_resolution,[status(thm)],[2365, 834])).
% 13.80/9.00 tff(2367,plain,
% 13.80/9.00 ((~![VarCurr: $i] : (v118(VarCurr) <=> (v119(VarCurr) | v120(VarCurr)))) | (v118(constB57) <=> (v119(constB57) | v120(constB57)))),
% 13.80/9.00 inference(quant_inst,[status(thm)],[])).
% 13.80/9.00 tff(2368,plain,
% 13.80/9.00 (v118(constB57) <=> (v119(constB57) | v120(constB57))),
% 13.80/9.00 inference(unit_resolution,[status(thm)],[2367, 951])).
% 13.80/9.00 tff(2369,plain,
% 13.80/9.00 (((~![VarCurr: $i] : (v120(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)))))) | (v120(constB57) <=> (~(v90(constB57, bitIndex2) | v90(constB57, bitIndex1) | (~v90(constB57, bitIndex0)))))) <=> ((~![VarCurr: $i] : (v120(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)))))) | (v120(constB57) <=> (~(v90(constB57, bitIndex2) | v90(constB57, bitIndex1) | (~v90(constB57, bitIndex0))))))),
% 13.80/9.00 inference(rewrite,[status(thm)],[])).
% 13.80/9.00 tff(2370,plain,
% 13.80/9.00 ((v120(constB57) <=> (~(v90(constB57, bitIndex1) | v90(constB57, bitIndex2) | (~v90(constB57, bitIndex0))))) <=> (v120(constB57) <=> (~(v90(constB57, bitIndex2) | v90(constB57, bitIndex1) | (~v90(constB57, bitIndex0)))))),
% 13.80/9.00 inference(rewrite,[status(thm)],[])).
% 13.80/9.00 tff(2371,plain,
% 13.80/9.00 (((~![VarCurr: $i] : (v120(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)))))) | (v120(constB57) <=> (~(v90(constB57, bitIndex1) | v90(constB57, bitIndex2) | (~v90(constB57, bitIndex0)))))) <=> ((~![VarCurr: $i] : (v120(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)))))) | (v120(constB57) <=> (~(v90(constB57, bitIndex2) | v90(constB57, bitIndex1) | (~v90(constB57, bitIndex0))))))),
% 13.80/9.01 inference(monotonicity,[status(thm)],[2370])).
% 13.80/9.01 tff(2372,plain,
% 13.80/9.01 (((~![VarCurr: $i] : (v120(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)))))) | (v120(constB57) <=> (~(v90(constB57, bitIndex1) | v90(constB57, bitIndex2) | (~v90(constB57, bitIndex0)))))) <=> ((~![VarCurr: $i] : (v120(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)))))) | (v120(constB57) <=> (~(v90(constB57, bitIndex2) | v90(constB57, bitIndex1) | (~v90(constB57, bitIndex0))))))),
% 13.80/9.01 inference(transitivity,[status(thm)],[2371, 2369])).
% 13.80/9.01 tff(2373,plain,
% 13.80/9.01 ((~![VarCurr: $i] : (v120(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)))))) | (v120(constB57) <=> (~(v90(constB57, bitIndex1) | v90(constB57, bitIndex2) | (~v90(constB57, bitIndex0)))))),
% 13.80/9.01 inference(quant_inst,[status(thm)],[])).
% 13.80/9.01 tff(2374,plain,
% 13.80/9.01 ((~![VarCurr: $i] : (v120(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)))))) | (v120(constB57) <=> (~(v90(constB57, bitIndex2) | v90(constB57, bitIndex1) | (~v90(constB57, bitIndex0)))))),
% 13.80/9.01 inference(modus_ponens,[status(thm)],[2373, 2372])).
% 13.80/9.01 tff(2375,plain,
% 13.80/9.01 (v120(constB57) <=> (~(v90(constB57, bitIndex2) | v90(constB57, bitIndex1) | (~v90(constB57, bitIndex0))))),
% 13.80/9.01 inference(unit_resolution,[status(thm)],[2374, 966])).
% 13.80/9.01 tff(2376,plain,
% 13.80/9.01 (nextState(constB56, constB57) <=> nextState(constB56, constB57)),
% 13.80/9.01 inference(rewrite,[status(thm)],[])).
% 13.80/9.01 tff(2377,axiom,(nextState(constB56, constB57)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_56')).
% 13.80/9.01 tff(2378,plain,
% 13.80/9.01 (nextState(constB56, constB57)),
% 13.80/9.01 inference(modus_ponens,[status(thm)],[2377, 2376])).
% 13.80/9.01 tff(2379,plain,
% 13.80/9.01 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB56, constB57)) | (v100(constB57) <=> (~((~v101(constB57)) | (~v110(constB57))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB56, constB57)) | (v100(constB57) <=> (~((~v101(constB57)) | (~v110(constB57))))))),
% 13.80/9.01 inference(rewrite,[status(thm)],[])).
% 13.80/9.01 tff(2380,plain,
% 13.80/9.01 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB56, constB57)) | (v100(constB57) <=> (~((~v101(constB57)) | (~v110(constB57))))))),
% 13.80/9.01 inference(quant_inst,[status(thm)],[])).
% 13.80/9.01 tff(2381,plain,
% 13.80/9.01 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB56, constB57)) | (v100(constB57) <=> (~((~v101(constB57)) | (~v110(constB57)))))),
% 13.80/9.01 inference(modus_ponens,[status(thm)],[2380, 2379])).
% 13.80/9.01 tff(2382,plain,
% 13.80/9.01 (v100(constB57) <=> (~((~v101(constB57)) | (~v110(constB57))))),
% 13.80/9.01 inference(unit_resolution,[status(thm)],[2381, 2378, 430])).
% 13.80/9.01 tff(2383,plain,
% 13.80/9.01 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB56, constB57)) | (v101(constB57) <=> (~((~v1(constB57)) | (~v102(constB57))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB56, constB57)) | (v101(constB57) <=> (~((~v1(constB57)) | (~v102(constB57))))))),
% 13.80/9.01 inference(rewrite,[status(thm)],[])).
% 13.80/9.01 tff(2384,plain,
% 13.80/9.01 (((~nextState(constB56, constB57)) | (v101(constB57) <=> (~((~v102(constB57)) | (~v1(constB57)))))) <=> ((~nextState(constB56, constB57)) | (v101(constB57) <=> (~((~v1(constB57)) | (~v102(constB57))))))),
% 13.80/9.01 inference(rewrite,[status(thm)],[])).
% 13.80/9.01 tff(2385,plain,
% 13.80/9.01 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB56, constB57)) | (v101(constB57) <=> (~((~v102(constB57)) | (~v1(constB57))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB56, constB57)) | (v101(constB57) <=> (~((~v1(constB57)) | (~v102(constB57)))))))),
% 13.81/9.01 inference(monotonicity,[status(thm)],[2384])).
% 13.81/9.01 tff(2386,plain,
% 13.81/9.01 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB56, constB57)) | (v101(constB57) <=> (~((~v102(constB57)) | (~v1(constB57))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB56, constB57)) | (v101(constB57) <=> (~((~v1(constB57)) | (~v102(constB57))))))),
% 13.81/9.01 inference(transitivity,[status(thm)],[2385, 2383])).
% 13.81/9.01 tff(2387,plain,
% 13.81/9.01 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB56, constB57)) | (v101(constB57) <=> (~((~v102(constB57)) | (~v1(constB57))))))),
% 13.81/9.01 inference(quant_inst,[status(thm)],[])).
% 13.81/9.01 tff(2388,plain,
% 13.81/9.01 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB56, constB57)) | (v101(constB57) <=> (~((~v1(constB57)) | (~v102(constB57)))))),
% 13.81/9.01 inference(modus_ponens,[status(thm)],[2387, 2386])).
% 13.81/9.01 tff(2389,plain,
% 13.81/9.01 (v101(constB57) <=> (~((~v1(constB57)) | (~v102(constB57))))),
% 13.81/9.01 inference(unit_resolution,[status(thm)],[2388, 2378, 450])).
% 13.81/9.01 tff(2390,plain,
% 13.81/9.01 (((~v1(constB57)) | (~v102(constB57))) | v1(constB57)),
% 13.81/9.01 inference(tautology,[status(thm)],[])).
% 13.81/9.01 tff(2391,plain,
% 13.81/9.01 ((~v1(constB57)) | (~v102(constB57))),
% 13.81/9.01 inference(unit_resolution,[status(thm)],[2390, 2335])).
% 13.81/9.01 tff(2392,plain,
% 13.81/9.01 ((~(v101(constB57) <=> (~((~v1(constB57)) | (~v102(constB57)))))) | (~v101(constB57)) | (~((~v1(constB57)) | (~v102(constB57))))),
% 13.81/9.01 inference(tautology,[status(thm)],[])).
% 13.81/9.01 tff(2393,plain,
% 13.81/9.01 ((~(v101(constB57) <=> (~((~v1(constB57)) | (~v102(constB57)))))) | (~v101(constB57))),
% 13.81/9.01 inference(unit_resolution,[status(thm)],[2392, 2391])).
% 13.81/9.01 tff(2394,plain,
% 13.81/9.01 (~v101(constB57)),
% 13.81/9.01 inference(unit_resolution,[status(thm)],[2393, 2389])).
% 13.81/9.01 tff(2395,plain,
% 13.81/9.01 (((~v101(constB57)) | (~v110(constB57))) | v101(constB57)),
% 13.81/9.01 inference(tautology,[status(thm)],[])).
% 13.81/9.01 tff(2396,plain,
% 13.81/9.01 ((~v101(constB57)) | (~v110(constB57))),
% 13.81/9.01 inference(unit_resolution,[status(thm)],[2395, 2394])).
% 13.81/9.01 tff(2397,plain,
% 13.81/9.01 ((~(v100(constB57) <=> (~((~v101(constB57)) | (~v110(constB57)))))) | (~v100(constB57)) | (~((~v101(constB57)) | (~v110(constB57))))),
% 13.81/9.01 inference(tautology,[status(thm)],[])).
% 13.81/9.01 tff(2398,plain,
% 13.81/9.01 (~v100(constB57)),
% 13.81/9.01 inference(unit_resolution,[status(thm)],[2397, 2396, 2382])).
% 13.81/9.01 tff(2399,plain,
% 13.81/9.01 (((~![VarCurr: $i, VarNext: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v90(VarCurr, B))))) | (v100(constB57) | (~nextState(constB56, constB57)) | ![B: $i] : ((~less_3(B)) | (v90(constB57, B) <=> v90(constB56, B))))) <=> ((~![VarCurr: $i, VarNext: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v90(VarCurr, B))))) | v100(constB57) | (~nextState(constB56, constB57)) | ![B: $i] : ((~less_3(B)) | (v90(constB57, B) <=> v90(constB56, B))))),
% 13.81/9.01 inference(rewrite,[status(thm)],[])).
% 13.81/9.01 tff(2400,plain,
% 13.81/9.01 ((~![VarCurr: $i, VarNext: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v90(VarCurr, B))))) | (v100(constB57) | (~nextState(constB56, constB57)) | ![B: $i] : ((~less_3(B)) | (v90(constB57, B) <=> v90(constB56, B))))),
% 13.81/9.01 inference(quant_inst,[status(thm)],[])).
% 13.81/9.01 tff(2401,plain,
% 13.81/9.01 ((~![VarCurr: $i, VarNext: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v90(VarCurr, B))))) | v100(constB57) | (~nextState(constB56, constB57)) | ![B: $i] : ((~less_3(B)) | (v90(constB57, B) <=> v90(constB56, B)))),
% 13.81/9.01 inference(modus_ponens,[status(thm)],[2400, 2399])).
% 13.81/9.01 tff(2402,plain,
% 13.81/9.01 (v100(constB57) | ![B: $i] : ((~less_3(B)) | (v90(constB57, B) <=> v90(constB56, B)))),
% 13.81/9.01 inference(unit_resolution,[status(thm)],[2401, 2378, 479])).
% 13.81/9.01 tff(2403,plain,
% 13.81/9.01 (![B: $i] : ((~less_3(B)) | (v90(constB57, B) <=> v90(constB56, B)))),
% 13.81/9.01 inference(unit_resolution,[status(thm)],[2402, 2398])).
% 13.81/9.01 tff(2404,plain,
% 13.81/9.01 (((~![B: $i] : ((~less_3(B)) | (v90(constB57, B) <=> v90(constB56, B)))) | ((~less_3(bitIndex2)) | (v90(constB57, bitIndex2) <=> v90(constB56, bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v90(constB57, B) <=> v90(constB56, B)))) | (~less_3(bitIndex2)) | (v90(constB57, bitIndex2) <=> v90(constB56, bitIndex2)))),
% 13.81/9.01 inference(rewrite,[status(thm)],[])).
% 13.81/9.01 tff(2405,plain,
% 13.81/9.01 ((~![B: $i] : ((~less_3(B)) | (v90(constB57, B) <=> v90(constB56, B)))) | ((~less_3(bitIndex2)) | (v90(constB57, bitIndex2) <=> v90(constB56, bitIndex2)))),
% 13.81/9.01 inference(quant_inst,[status(thm)],[])).
% 13.81/9.01 tff(2406,plain,
% 13.81/9.01 ((~![B: $i] : ((~less_3(B)) | (v90(constB57, B) <=> v90(constB56, B)))) | (~less_3(bitIndex2)) | (v90(constB57, bitIndex2) <=> v90(constB56, bitIndex2))),
% 13.81/9.01 inference(modus_ponens,[status(thm)],[2405, 2404])).
% 13.81/9.01 tff(2407,plain,
% 13.81/9.01 (v90(constB57, bitIndex2) <=> v90(constB56, bitIndex2)),
% 13.81/9.01 inference(unit_resolution,[status(thm)],[2406, 413, 2403])).
% 13.81/9.01 tff(2408,plain,
% 13.81/9.01 (nextState(constB55, constB56) <=> nextState(constB55, constB56)),
% 13.81/9.01 inference(rewrite,[status(thm)],[])).
% 13.81/9.01 tff(2409,axiom,(nextState(constB55, constB56)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_55')).
% 13.81/9.01 tff(2410,plain,
% 13.81/9.01 (nextState(constB55, constB56)),
% 13.81/9.01 inference(modus_ponens,[status(thm)],[2409, 2408])).
% 13.81/9.01 tff(2411,plain,
% 13.81/9.01 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB55, constB56)) | (v100(constB56) <=> (~((~v101(constB56)) | (~v110(constB56))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB55, constB56)) | (v100(constB56) <=> (~((~v101(constB56)) | (~v110(constB56))))))),
% 13.81/9.01 inference(rewrite,[status(thm)],[])).
% 13.81/9.01 tff(2412,plain,
% 13.81/9.01 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB55, constB56)) | (v100(constB56) <=> (~((~v101(constB56)) | (~v110(constB56))))))),
% 13.81/9.01 inference(quant_inst,[status(thm)],[])).
% 13.81/9.01 tff(2413,plain,
% 13.81/9.01 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB55, constB56)) | (v100(constB56) <=> (~((~v101(constB56)) | (~v110(constB56)))))),
% 13.81/9.01 inference(modus_ponens,[status(thm)],[2412, 2411])).
% 13.81/9.01 tff(2414,plain,
% 13.81/9.01 (v100(constB56) <=> (~((~v101(constB56)) | (~v110(constB56))))),
% 13.81/9.01 inference(unit_resolution,[status(thm)],[2413, 2410, 430])).
% 13.81/9.01 tff(2415,plain,
% 13.81/9.01 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB55, constB56)) | (v101(constB56) <=> (~((~v1(constB56)) | (~v102(constB56))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB55, constB56)) | (v101(constB56) <=> (~((~v1(constB56)) | (~v102(constB56))))))),
% 13.81/9.01 inference(rewrite,[status(thm)],[])).
% 13.81/9.01 tff(2416,plain,
% 13.81/9.01 (((~nextState(constB55, constB56)) | (v101(constB56) <=> (~((~v102(constB56)) | (~v1(constB56)))))) <=> ((~nextState(constB55, constB56)) | (v101(constB56) <=> (~((~v1(constB56)) | (~v102(constB56))))))),
% 13.81/9.01 inference(rewrite,[status(thm)],[])).
% 13.81/9.01 tff(2417,plain,
% 13.81/9.01 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB55, constB56)) | (v101(constB56) <=> (~((~v102(constB56)) | (~v1(constB56))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB55, constB56)) | (v101(constB56) <=> (~((~v1(constB56)) | (~v102(constB56)))))))),
% 13.81/9.01 inference(monotonicity,[status(thm)],[2416])).
% 13.81/9.01 tff(2418,plain,
% 13.81/9.01 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB55, constB56)) | (v101(constB56) <=> (~((~v102(constB56)) | (~v1(constB56))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB55, constB56)) | (v101(constB56) <=> (~((~v1(constB56)) | (~v102(constB56))))))),
% 13.81/9.01 inference(transitivity,[status(thm)],[2417, 2415])).
% 13.81/9.01 tff(2419,plain,
% 13.81/9.01 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB55, constB56)) | (v101(constB56) <=> (~((~v102(constB56)) | (~v1(constB56))))))),
% 13.81/9.01 inference(quant_inst,[status(thm)],[])).
% 13.81/9.01 tff(2420,plain,
% 13.81/9.01 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB55, constB56)) | (v101(constB56) <=> (~((~v1(constB56)) | (~v102(constB56)))))),
% 13.81/9.01 inference(modus_ponens,[status(thm)],[2419, 2418])).
% 13.81/9.01 tff(2421,plain,
% 13.81/9.01 (v101(constB56) <=> (~((~v1(constB56)) | (~v102(constB56))))),
% 13.81/9.01 inference(unit_resolution,[status(thm)],[2420, 2410, 450])).
% 13.81/9.01 tff(2422,plain,
% 13.81/9.01 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | ((~nextState(constB55, constB56)) | ((~v102(constB56)) <=> v104(constB56)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | (~nextState(constB55, constB56)) | ((~v102(constB56)) <=> v104(constB56)))),
% 13.81/9.01 inference(rewrite,[status(thm)],[])).
% 13.81/9.01 tff(2423,plain,
% 13.81/9.01 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | ((~nextState(constB55, constB56)) | ((~v102(constB56)) <=> v104(constB56)))),
% 13.81/9.01 inference(quant_inst,[status(thm)],[])).
% 13.81/9.01 tff(2424,plain,
% 13.81/9.01 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | (~nextState(constB55, constB56)) | ((~v102(constB56)) <=> v104(constB56))),
% 13.81/9.01 inference(modus_ponens,[status(thm)],[2423, 2422])).
% 13.81/9.01 tff(2425,plain,
% 13.81/9.01 ((~v102(constB56)) <=> v104(constB56)),
% 13.81/9.01 inference(unit_resolution,[status(thm)],[2424, 2410, 512])).
% 13.81/9.01 tff(2426,plain,
% 13.81/9.01 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB55, constB56)) | (v104(constB56) <=> v1(constB55)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | (~nextState(constB55, constB56)) | (v104(constB56) <=> v1(constB55)))),
% 13.81/9.01 inference(rewrite,[status(thm)],[])).
% 13.81/9.01 tff(2427,plain,
% 13.81/9.01 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB55, constB56)) | (v104(constB56) <=> v1(constB55)))),
% 13.81/9.01 inference(quant_inst,[status(thm)],[])).
% 13.81/9.01 tff(2428,plain,
% 13.81/9.01 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | (~nextState(constB55, constB56)) | (v104(constB56) <=> v1(constB55))),
% 13.81/9.01 inference(modus_ponens,[status(thm)],[2427, 2426])).
% 13.81/9.01 tff(2429,plain,
% 13.81/9.01 (v104(constB56) <=> v1(constB55)),
% 13.81/9.01 inference(unit_resolution,[status(thm)],[2428, 2410, 526])).
% 13.81/9.01 tff(2430,plain,
% 13.81/9.01 ((~v1(constB55)) <=> (~v1(constB55))),
% 13.81/9.01 inference(rewrite,[status(thm)],[])).
% 13.81/9.01 tff(2431,axiom,(~v1(constB55)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_55')).
% 13.81/9.01 tff(2432,plain,
% 13.81/9.01 (~v1(constB55)),
% 13.81/9.01 inference(modus_ponens,[status(thm)],[2431, 2430])).
% 13.81/9.01 tff(2433,plain,
% 13.81/9.01 ((~(v104(constB56) <=> v1(constB55))) | (~v104(constB56)) | v1(constB55)),
% 13.81/9.02 inference(tautology,[status(thm)],[])).
% 13.81/9.02 tff(2434,plain,
% 13.81/9.02 ((~(v104(constB56) <=> v1(constB55))) | (~v104(constB56))),
% 13.81/9.02 inference(unit_resolution,[status(thm)],[2433, 2432])).
% 13.81/9.02 tff(2435,plain,
% 13.81/9.02 (~v104(constB56)),
% 13.81/9.02 inference(unit_resolution,[status(thm)],[2434, 2429])).
% 13.81/9.02 tff(2436,plain,
% 13.81/9.02 ((~((~v102(constB56)) <=> v104(constB56))) | v102(constB56) | v104(constB56)),
% 13.81/9.02 inference(tautology,[status(thm)],[])).
% 13.81/9.02 tff(2437,plain,
% 13.81/9.02 (v102(constB56)),
% 13.81/9.02 inference(unit_resolution,[status(thm)],[2436, 2435, 2425])).
% 13.81/9.02 tff(2438,plain,
% 13.81/9.02 (v1(constB56) <=> v1(constB56)),
% 13.81/9.02 inference(rewrite,[status(thm)],[])).
% 13.81/9.02 tff(2439,axiom,(v1(constB56)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_56')).
% 13.81/9.02 tff(2440,plain,
% 13.81/9.02 (v1(constB56)),
% 13.81/9.02 inference(modus_ponens,[status(thm)],[2439, 2438])).
% 13.81/9.02 tff(2441,plain,
% 13.81/9.02 ((~((~v1(constB56)) | (~v102(constB56)))) | (~v1(constB56)) | (~v102(constB56))),
% 13.81/9.02 inference(tautology,[status(thm)],[])).
% 13.81/9.02 tff(2442,plain,
% 13.81/9.02 ((~((~v1(constB56)) | (~v102(constB56)))) | (~v102(constB56))),
% 13.81/9.02 inference(unit_resolution,[status(thm)],[2441, 2440])).
% 13.81/9.02 tff(2443,plain,
% 13.81/9.02 (~((~v1(constB56)) | (~v102(constB56)))),
% 13.81/9.02 inference(unit_resolution,[status(thm)],[2442, 2437])).
% 13.81/9.02 tff(2444,plain,
% 13.81/9.02 ((~(v101(constB56) <=> (~((~v1(constB56)) | (~v102(constB56)))))) | v101(constB56) | ((~v1(constB56)) | (~v102(constB56)))),
% 13.81/9.02 inference(tautology,[status(thm)],[])).
% 13.81/9.02 tff(2445,plain,
% 13.81/9.02 (v101(constB56)),
% 13.81/9.02 inference(unit_resolution,[status(thm)],[2444, 2443, 2421])).
% 13.81/9.02 tff(2446,plain,
% 13.81/9.02 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | ((~nextState(constB55, constB56)) | (v110(constB56) <=> v108(constB55)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | (~nextState(constB55, constB56)) | (v110(constB56) <=> v108(constB55)))),
% 13.81/9.02 inference(rewrite,[status(thm)],[])).
% 13.81/9.02 tff(2447,plain,
% 13.81/9.02 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | ((~nextState(constB55, constB56)) | (v110(constB56) <=> v108(constB55)))),
% 13.81/9.02 inference(quant_inst,[status(thm)],[])).
% 13.81/9.02 tff(2448,plain,
% 13.81/9.02 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | (~nextState(constB55, constB56)) | (v110(constB56) <=> v108(constB55))),
% 13.81/9.02 inference(modus_ponens,[status(thm)],[2447, 2446])).
% 13.81/9.02 tff(2449,plain,
% 13.81/9.02 (v110(constB56) <=> v108(constB55)),
% 13.81/9.02 inference(unit_resolution,[status(thm)],[2448, 2410, 556])).
% 13.81/9.02 tff(2450,plain,
% 13.81/9.02 ((~![VarCurr: $i] : (v108(VarCurr) <=> (v111(VarCurr) | v112(VarCurr)))) | (v108(constB55) <=> (v111(constB55) | v112(constB55)))),
% 13.81/9.02 inference(quant_inst,[status(thm)],[])).
% 13.81/9.02 tff(2451,plain,
% 13.81/9.02 (v108(constB55) <=> (v111(constB55) | v112(constB55))),
% 13.81/9.02 inference(unit_resolution,[status(thm)],[2450, 567])).
% 13.81/9.02 tff(2452,plain,
% 13.81/9.02 ((~![VarCurr: $i] : (v112(VarCurr) <=> (~((~v113(VarCurr)) | (~v126(VarCurr)))))) | (v112(constB55) <=> (~((~v113(constB55)) | (~v126(constB55)))))),
% 13.81/9.02 inference(quant_inst,[status(thm)],[])).
% 13.81/9.02 tff(2453,plain,
% 13.81/9.02 (v112(constB55) <=> (~((~v113(constB55)) | (~v126(constB55))))),
% 13.81/9.02 inference(unit_resolution,[status(thm)],[2452, 579])).
% 13.81/9.02 tff(2454,plain,
% 13.81/9.02 ((~![VarCurr: $i] : (v113(VarCurr) <=> (v114(VarCurr) | v125(VarCurr)))) | (v113(constB55) <=> (v114(constB55) | v125(constB55)))),
% 13.81/9.02 inference(quant_inst,[status(thm)],[])).
% 13.81/9.02 tff(2455,plain,
% 13.81/9.02 (v113(constB55) <=> (v114(constB55) | v125(constB55))),
% 13.81/9.02 inference(unit_resolution,[status(thm)],[2454, 588])).
% 13.81/9.02 tff(2456,plain,
% 13.81/9.02 (((~![VarCurr: $i] : (v125(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2)))))) | (v125(constB55) <=> (~((~v90(constB55, bitIndex2)) | (~v90(constB55, bitIndex1)) | v90(constB55, bitIndex0))))) <=> ((~![VarCurr: $i] : (v125(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2)))))) | (v125(constB55) <=> (~((~v90(constB55, bitIndex2)) | (~v90(constB55, bitIndex1)) | v90(constB55, bitIndex0)))))),
% 13.81/9.02 inference(rewrite,[status(thm)],[])).
% 13.81/9.02 tff(2457,plain,
% 13.81/9.02 ((v125(constB55) <=> (~(v90(constB55, bitIndex0) | (~v90(constB55, bitIndex1)) | (~v90(constB55, bitIndex2))))) <=> (v125(constB55) <=> (~((~v90(constB55, bitIndex2)) | (~v90(constB55, bitIndex1)) | v90(constB55, bitIndex0))))),
% 13.81/9.02 inference(rewrite,[status(thm)],[])).
% 13.81/9.02 tff(2458,plain,
% 13.81/9.02 (((~![VarCurr: $i] : (v125(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2)))))) | (v125(constB55) <=> (~(v90(constB55, bitIndex0) | (~v90(constB55, bitIndex1)) | (~v90(constB55, bitIndex2)))))) <=> ((~![VarCurr: $i] : (v125(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2)))))) | (v125(constB55) <=> (~((~v90(constB55, bitIndex2)) | (~v90(constB55, bitIndex1)) | v90(constB55, bitIndex0)))))),
% 13.81/9.02 inference(monotonicity,[status(thm)],[2457])).
% 13.81/9.02 tff(2459,plain,
% 13.81/9.02 (((~![VarCurr: $i] : (v125(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2)))))) | (v125(constB55) <=> (~(v90(constB55, bitIndex0) | (~v90(constB55, bitIndex1)) | (~v90(constB55, bitIndex2)))))) <=> ((~![VarCurr: $i] : (v125(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2)))))) | (v125(constB55) <=> (~((~v90(constB55, bitIndex2)) | (~v90(constB55, bitIndex1)) | v90(constB55, bitIndex0)))))),
% 13.81/9.02 inference(transitivity,[status(thm)],[2458, 2456])).
% 13.81/9.02 tff(2460,plain,
% 13.81/9.02 ((~![VarCurr: $i] : (v125(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2)))))) | (v125(constB55) <=> (~(v90(constB55, bitIndex0) | (~v90(constB55, bitIndex1)) | (~v90(constB55, bitIndex2)))))),
% 13.81/9.02 inference(quant_inst,[status(thm)],[])).
% 13.81/9.02 tff(2461,plain,
% 13.81/9.02 ((~![VarCurr: $i] : (v125(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2)))))) | (v125(constB55) <=> (~((~v90(constB55, bitIndex2)) | (~v90(constB55, bitIndex1)) | v90(constB55, bitIndex0))))),
% 13.81/9.02 inference(modus_ponens,[status(thm)],[2460, 2459])).
% 13.81/9.02 tff(2462,plain,
% 13.81/9.02 (v125(constB55) <=> (~((~v90(constB55, bitIndex2)) | (~v90(constB55, bitIndex1)) | v90(constB55, bitIndex0)))),
% 13.81/9.02 inference(unit_resolution,[status(thm)],[2461, 1066])).
% 13.81/9.02 tff(2463,plain,
% 13.81/9.02 (nextState(constB54, constB55) <=> nextState(constB54, constB55)),
% 13.81/9.02 inference(rewrite,[status(thm)],[])).
% 13.81/9.02 tff(2464,axiom,(nextState(constB54, constB55)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_54')).
% 13.81/9.02 tff(2465,plain,
% 13.81/9.02 (nextState(constB54, constB55)),
% 13.81/9.02 inference(modus_ponens,[status(thm)],[2464, 2463])).
% 13.81/9.02 tff(2466,plain,
% 13.81/9.02 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB54, constB55)) | (v100(constB55) <=> (~((~v101(constB55)) | (~v110(constB55))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB54, constB55)) | (v100(constB55) <=> (~((~v101(constB55)) | (~v110(constB55))))))),
% 13.81/9.02 inference(rewrite,[status(thm)],[])).
% 13.81/9.02 tff(2467,plain,
% 13.81/9.02 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB54, constB55)) | (v100(constB55) <=> (~((~v101(constB55)) | (~v110(constB55))))))),
% 13.81/9.02 inference(quant_inst,[status(thm)],[])).
% 13.81/9.02 tff(2468,plain,
% 13.81/9.02 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB54, constB55)) | (v100(constB55) <=> (~((~v101(constB55)) | (~v110(constB55)))))),
% 13.81/9.02 inference(modus_ponens,[status(thm)],[2467, 2466])).
% 13.81/9.02 tff(2469,plain,
% 13.81/9.02 (v100(constB55) <=> (~((~v101(constB55)) | (~v110(constB55))))),
% 13.81/9.02 inference(unit_resolution,[status(thm)],[2468, 2465, 430])).
% 13.81/9.02 tff(2470,plain,
% 13.81/9.02 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB54, constB55)) | (v101(constB55) <=> (~((~v1(constB55)) | (~v102(constB55))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB54, constB55)) | (v101(constB55) <=> (~((~v1(constB55)) | (~v102(constB55))))))),
% 13.81/9.02 inference(rewrite,[status(thm)],[])).
% 13.81/9.02 tff(2471,plain,
% 13.81/9.02 (((~nextState(constB54, constB55)) | (v101(constB55) <=> (~((~v102(constB55)) | (~v1(constB55)))))) <=> ((~nextState(constB54, constB55)) | (v101(constB55) <=> (~((~v1(constB55)) | (~v102(constB55))))))),
% 13.81/9.02 inference(rewrite,[status(thm)],[])).
% 13.81/9.02 tff(2472,plain,
% 13.81/9.02 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB54, constB55)) | (v101(constB55) <=> (~((~v102(constB55)) | (~v1(constB55))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB54, constB55)) | (v101(constB55) <=> (~((~v1(constB55)) | (~v102(constB55)))))))),
% 13.81/9.02 inference(monotonicity,[status(thm)],[2471])).
% 13.81/9.02 tff(2473,plain,
% 13.81/9.02 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB54, constB55)) | (v101(constB55) <=> (~((~v102(constB55)) | (~v1(constB55))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB54, constB55)) | (v101(constB55) <=> (~((~v1(constB55)) | (~v102(constB55))))))),
% 13.81/9.02 inference(transitivity,[status(thm)],[2472, 2470])).
% 13.81/9.02 tff(2474,plain,
% 13.81/9.02 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB54, constB55)) | (v101(constB55) <=> (~((~v102(constB55)) | (~v1(constB55))))))),
% 13.81/9.02 inference(quant_inst,[status(thm)],[])).
% 13.81/9.02 tff(2475,plain,
% 13.81/9.02 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB54, constB55)) | (v101(constB55) <=> (~((~v1(constB55)) | (~v102(constB55)))))),
% 13.81/9.02 inference(modus_ponens,[status(thm)],[2474, 2473])).
% 13.81/9.02 tff(2476,plain,
% 13.81/9.02 (v101(constB55) <=> (~((~v1(constB55)) | (~v102(constB55))))),
% 13.81/9.02 inference(unit_resolution,[status(thm)],[2475, 2465, 450])).
% 13.81/9.02 tff(2477,plain,
% 13.81/9.02 (((~v1(constB55)) | (~v102(constB55))) | v1(constB55)),
% 13.81/9.02 inference(tautology,[status(thm)],[])).
% 13.81/9.02 tff(2478,plain,
% 13.81/9.02 ((~v1(constB55)) | (~v102(constB55))),
% 13.81/9.02 inference(unit_resolution,[status(thm)],[2477, 2432])).
% 13.81/9.02 tff(2479,plain,
% 13.81/9.02 ((~(v101(constB55) <=> (~((~v1(constB55)) | (~v102(constB55)))))) | (~v101(constB55)) | (~((~v1(constB55)) | (~v102(constB55))))),
% 13.81/9.02 inference(tautology,[status(thm)],[])).
% 13.81/9.02 tff(2480,plain,
% 13.81/9.02 ((~(v101(constB55) <=> (~((~v1(constB55)) | (~v102(constB55)))))) | (~v101(constB55))),
% 13.81/9.02 inference(unit_resolution,[status(thm)],[2479, 2478])).
% 13.81/9.02 tff(2481,plain,
% 13.81/9.02 (~v101(constB55)),
% 13.81/9.02 inference(unit_resolution,[status(thm)],[2480, 2476])).
% 13.81/9.02 tff(2482,plain,
% 13.81/9.02 (((~v101(constB55)) | (~v110(constB55))) | v101(constB55)),
% 13.81/9.02 inference(tautology,[status(thm)],[])).
% 13.81/9.02 tff(2483,plain,
% 13.81/9.02 ((~v101(constB55)) | (~v110(constB55))),
% 13.81/9.02 inference(unit_resolution,[status(thm)],[2482, 2481])).
% 13.81/9.02 tff(2484,plain,
% 13.81/9.02 ((~(v100(constB55) <=> (~((~v101(constB55)) | (~v110(constB55)))))) | (~v100(constB55)) | (~((~v101(constB55)) | (~v110(constB55))))),
% 13.81/9.02 inference(tautology,[status(thm)],[])).
% 13.81/9.02 tff(2485,plain,
% 13.81/9.02 (~v100(constB55)),
% 13.81/9.02 inference(unit_resolution,[status(thm)],[2484, 2483, 2469])).
% 13.81/9.02 tff(2486,plain,
% 13.81/9.02 (((~![VarCurr: $i, VarNext: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v90(VarCurr, B))))) | (v100(constB55) | (~nextState(constB54, constB55)) | ![B: $i] : ((~less_3(B)) | (v90(constB55, B) <=> v90(constB54, B))))) <=> ((~![VarCurr: $i, VarNext: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v90(VarCurr, B))))) | v100(constB55) | (~nextState(constB54, constB55)) | ![B: $i] : ((~less_3(B)) | (v90(constB55, B) <=> v90(constB54, B))))),
% 13.81/9.02 inference(rewrite,[status(thm)],[])).
% 13.81/9.02 tff(2487,plain,
% 13.81/9.02 ((~![VarCurr: $i, VarNext: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v90(VarCurr, B))))) | (v100(constB55) | (~nextState(constB54, constB55)) | ![B: $i] : ((~less_3(B)) | (v90(constB55, B) <=> v90(constB54, B))))),
% 13.81/9.02 inference(quant_inst,[status(thm)],[])).
% 13.81/9.02 tff(2488,plain,
% 13.81/9.02 ((~![VarCurr: $i, VarNext: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v90(VarCurr, B))))) | v100(constB55) | (~nextState(constB54, constB55)) | ![B: $i] : ((~less_3(B)) | (v90(constB55, B) <=> v90(constB54, B)))),
% 13.81/9.02 inference(modus_ponens,[status(thm)],[2487, 2486])).
% 13.81/9.02 tff(2489,plain,
% 13.81/9.02 (v100(constB55) | ![B: $i] : ((~less_3(B)) | (v90(constB55, B) <=> v90(constB54, B)))),
% 13.81/9.02 inference(unit_resolution,[status(thm)],[2488, 2465, 479])).
% 13.81/9.02 tff(2490,plain,
% 13.81/9.02 (![B: $i] : ((~less_3(B)) | (v90(constB55, B) <=> v90(constB54, B)))),
% 13.81/9.02 inference(unit_resolution,[status(thm)],[2489, 2485])).
% 13.81/9.02 tff(2491,plain,
% 13.81/9.02 (((~![B: $i] : ((~less_3(B)) | (v90(constB55, B) <=> v90(constB54, B)))) | ((~less_3(bitIndex2)) | (v90(constB55, bitIndex2) <=> v90(constB54, bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v90(constB55, B) <=> v90(constB54, B)))) | (~less_3(bitIndex2)) | (v90(constB55, bitIndex2) <=> v90(constB54, bitIndex2)))),
% 13.81/9.02 inference(rewrite,[status(thm)],[])).
% 13.81/9.02 tff(2492,plain,
% 13.81/9.02 ((~![B: $i] : ((~less_3(B)) | (v90(constB55, B) <=> v90(constB54, B)))) | ((~less_3(bitIndex2)) | (v90(constB55, bitIndex2) <=> v90(constB54, bitIndex2)))),
% 13.81/9.02 inference(quant_inst,[status(thm)],[])).
% 13.81/9.02 tff(2493,plain,
% 13.81/9.02 ((~![B: $i] : ((~less_3(B)) | (v90(constB55, B) <=> v90(constB54, B)))) | (~less_3(bitIndex2)) | (v90(constB55, bitIndex2) <=> v90(constB54, bitIndex2))),
% 13.81/9.02 inference(modus_ponens,[status(thm)],[2492, 2491])).
% 13.81/9.02 tff(2494,plain,
% 13.81/9.02 (v90(constB55, bitIndex2) <=> v90(constB54, bitIndex2)),
% 13.81/9.02 inference(unit_resolution,[status(thm)],[2493, 413, 2490])).
% 13.81/9.02 tff(2495,plain,
% 13.81/9.02 (nextState(constB53, constB54) <=> nextState(constB53, constB54)),
% 13.81/9.02 inference(rewrite,[status(thm)],[])).
% 13.81/9.02 tff(2496,axiom,(nextState(constB53, constB54)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_53')).
% 13.81/9.02 tff(2497,plain,
% 13.81/9.02 (nextState(constB53, constB54)),
% 13.81/9.02 inference(modus_ponens,[status(thm)],[2496, 2495])).
% 13.81/9.02 tff(2498,plain,
% 13.81/9.02 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB53, constB54)) | (v100(constB54) <=> (~((~v101(constB54)) | (~v110(constB54))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB53, constB54)) | (v100(constB54) <=> (~((~v101(constB54)) | (~v110(constB54))))))),
% 13.81/9.02 inference(rewrite,[status(thm)],[])).
% 13.81/9.02 tff(2499,plain,
% 13.81/9.02 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB53, constB54)) | (v100(constB54) <=> (~((~v101(constB54)) | (~v110(constB54))))))),
% 13.81/9.02 inference(quant_inst,[status(thm)],[])).
% 13.81/9.02 tff(2500,plain,
% 13.81/9.02 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB53, constB54)) | (v100(constB54) <=> (~((~v101(constB54)) | (~v110(constB54)))))),
% 13.81/9.02 inference(modus_ponens,[status(thm)],[2499, 2498])).
% 13.81/9.02 tff(2501,plain,
% 13.81/9.02 (v100(constB54) <=> (~((~v101(constB54)) | (~v110(constB54))))),
% 13.81/9.02 inference(unit_resolution,[status(thm)],[2500, 2497, 430])).
% 13.81/9.02 tff(2502,plain,
% 13.81/9.02 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB53, constB54)) | (v101(constB54) <=> (~((~v1(constB54)) | (~v102(constB54))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB53, constB54)) | (v101(constB54) <=> (~((~v1(constB54)) | (~v102(constB54))))))),
% 13.81/9.03 inference(rewrite,[status(thm)],[])).
% 13.81/9.03 tff(2503,plain,
% 13.81/9.03 (((~nextState(constB53, constB54)) | (v101(constB54) <=> (~((~v102(constB54)) | (~v1(constB54)))))) <=> ((~nextState(constB53, constB54)) | (v101(constB54) <=> (~((~v1(constB54)) | (~v102(constB54))))))),
% 13.81/9.03 inference(rewrite,[status(thm)],[])).
% 13.81/9.03 tff(2504,plain,
% 13.81/9.03 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB53, constB54)) | (v101(constB54) <=> (~((~v102(constB54)) | (~v1(constB54))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB53, constB54)) | (v101(constB54) <=> (~((~v1(constB54)) | (~v102(constB54)))))))),
% 13.81/9.03 inference(monotonicity,[status(thm)],[2503])).
% 13.81/9.03 tff(2505,plain,
% 13.81/9.03 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB53, constB54)) | (v101(constB54) <=> (~((~v102(constB54)) | (~v1(constB54))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB53, constB54)) | (v101(constB54) <=> (~((~v1(constB54)) | (~v102(constB54))))))),
% 13.81/9.03 inference(transitivity,[status(thm)],[2504, 2502])).
% 13.81/9.03 tff(2506,plain,
% 13.81/9.03 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB53, constB54)) | (v101(constB54) <=> (~((~v102(constB54)) | (~v1(constB54))))))),
% 13.81/9.03 inference(quant_inst,[status(thm)],[])).
% 13.81/9.03 tff(2507,plain,
% 13.81/9.03 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB53, constB54)) | (v101(constB54) <=> (~((~v1(constB54)) | (~v102(constB54)))))),
% 13.81/9.03 inference(modus_ponens,[status(thm)],[2506, 2505])).
% 13.81/9.03 tff(2508,plain,
% 13.81/9.03 (v101(constB54) <=> (~((~v1(constB54)) | (~v102(constB54))))),
% 13.81/9.03 inference(unit_resolution,[status(thm)],[2507, 2497, 450])).
% 13.81/9.03 tff(2509,plain,
% 13.81/9.03 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | ((~nextState(constB53, constB54)) | ((~v102(constB54)) <=> v104(constB54)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | (~nextState(constB53, constB54)) | ((~v102(constB54)) <=> v104(constB54)))),
% 13.81/9.03 inference(rewrite,[status(thm)],[])).
% 13.81/9.03 tff(2510,plain,
% 13.81/9.03 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | ((~nextState(constB53, constB54)) | ((~v102(constB54)) <=> v104(constB54)))),
% 13.81/9.03 inference(quant_inst,[status(thm)],[])).
% 13.81/9.03 tff(2511,plain,
% 13.81/9.03 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | (~nextState(constB53, constB54)) | ((~v102(constB54)) <=> v104(constB54))),
% 13.81/9.03 inference(modus_ponens,[status(thm)],[2510, 2509])).
% 13.81/9.03 tff(2512,plain,
% 13.81/9.03 ((~v102(constB54)) <=> v104(constB54)),
% 13.81/9.03 inference(unit_resolution,[status(thm)],[2511, 2497, 512])).
% 13.81/9.03 tff(2513,plain,
% 13.81/9.03 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB53, constB54)) | (v104(constB54) <=> v1(constB53)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | (~nextState(constB53, constB54)) | (v104(constB54) <=> v1(constB53)))),
% 13.81/9.03 inference(rewrite,[status(thm)],[])).
% 13.81/9.03 tff(2514,plain,
% 13.81/9.03 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB53, constB54)) | (v104(constB54) <=> v1(constB53)))),
% 13.81/9.03 inference(quant_inst,[status(thm)],[])).
% 13.81/9.03 tff(2515,plain,
% 13.81/9.03 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | (~nextState(constB53, constB54)) | (v104(constB54) <=> v1(constB53))),
% 13.81/9.03 inference(modus_ponens,[status(thm)],[2514, 2513])).
% 13.81/9.03 tff(2516,plain,
% 13.81/9.03 (v104(constB54) <=> v1(constB53)),
% 13.81/9.03 inference(unit_resolution,[status(thm)],[2515, 2497, 526])).
% 13.81/9.03 tff(2517,plain,
% 13.81/9.03 ((~v1(constB53)) <=> (~v1(constB53))),
% 13.81/9.03 inference(rewrite,[status(thm)],[])).
% 13.81/9.03 tff(2518,axiom,(~v1(constB53)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_53')).
% 13.81/9.03 tff(2519,plain,
% 13.81/9.03 (~v1(constB53)),
% 13.81/9.03 inference(modus_ponens,[status(thm)],[2518, 2517])).
% 13.81/9.03 tff(2520,plain,
% 13.81/9.03 ((~(v104(constB54) <=> v1(constB53))) | (~v104(constB54)) | v1(constB53)),
% 13.81/9.03 inference(tautology,[status(thm)],[])).
% 13.81/9.03 tff(2521,plain,
% 13.81/9.03 ((~(v104(constB54) <=> v1(constB53))) | (~v104(constB54))),
% 13.81/9.03 inference(unit_resolution,[status(thm)],[2520, 2519])).
% 13.81/9.03 tff(2522,plain,
% 13.81/9.03 (~v104(constB54)),
% 13.81/9.03 inference(unit_resolution,[status(thm)],[2521, 2516])).
% 13.81/9.03 tff(2523,plain,
% 13.81/9.03 ((~((~v102(constB54)) <=> v104(constB54))) | v102(constB54) | v104(constB54)),
% 13.81/9.03 inference(tautology,[status(thm)],[])).
% 13.81/9.03 tff(2524,plain,
% 13.81/9.03 (v102(constB54)),
% 13.81/9.03 inference(unit_resolution,[status(thm)],[2523, 2522, 2512])).
% 13.81/9.03 tff(2525,plain,
% 13.81/9.03 (v1(constB54) <=> v1(constB54)),
% 13.81/9.03 inference(rewrite,[status(thm)],[])).
% 13.81/9.03 tff(2526,axiom,(v1(constB54)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_54')).
% 13.81/9.03 tff(2527,plain,
% 13.81/9.03 (v1(constB54)),
% 13.81/9.03 inference(modus_ponens,[status(thm)],[2526, 2525])).
% 13.81/9.03 tff(2528,plain,
% 13.81/9.03 ((~((~v1(constB54)) | (~v102(constB54)))) | (~v1(constB54)) | (~v102(constB54))),
% 13.81/9.03 inference(tautology,[status(thm)],[])).
% 13.81/9.03 tff(2529,plain,
% 13.81/9.03 ((~((~v1(constB54)) | (~v102(constB54)))) | (~v102(constB54))),
% 13.81/9.03 inference(unit_resolution,[status(thm)],[2528, 2527])).
% 13.81/9.03 tff(2530,plain,
% 13.81/9.03 (~((~v1(constB54)) | (~v102(constB54)))),
% 13.81/9.03 inference(unit_resolution,[status(thm)],[2529, 2524])).
% 13.81/9.03 tff(2531,plain,
% 13.81/9.03 ((~(v101(constB54) <=> (~((~v1(constB54)) | (~v102(constB54)))))) | v101(constB54) | ((~v1(constB54)) | (~v102(constB54)))),
% 13.81/9.03 inference(tautology,[status(thm)],[])).
% 13.81/9.03 tff(2532,plain,
% 13.81/9.03 (v101(constB54)),
% 13.81/9.03 inference(unit_resolution,[status(thm)],[2531, 2530, 2508])).
% 13.81/9.03 tff(2533,plain,
% 13.81/9.03 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | ((~nextState(constB53, constB54)) | (v110(constB54) <=> v108(constB53)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | (~nextState(constB53, constB54)) | (v110(constB54) <=> v108(constB53)))),
% 13.81/9.03 inference(rewrite,[status(thm)],[])).
% 13.81/9.03 tff(2534,plain,
% 13.81/9.03 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | ((~nextState(constB53, constB54)) | (v110(constB54) <=> v108(constB53)))),
% 13.81/9.03 inference(quant_inst,[status(thm)],[])).
% 13.81/9.03 tff(2535,plain,
% 13.81/9.03 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | (~nextState(constB53, constB54)) | (v110(constB54) <=> v108(constB53))),
% 13.81/9.03 inference(modus_ponens,[status(thm)],[2534, 2533])).
% 13.81/9.03 tff(2536,plain,
% 13.81/9.03 (v110(constB54) <=> v108(constB53)),
% 13.81/9.03 inference(unit_resolution,[status(thm)],[2535, 2497, 556])).
% 13.81/9.03 tff(2537,plain,
% 13.81/9.03 ((~![VarCurr: $i] : (v108(VarCurr) <=> (v111(VarCurr) | v112(VarCurr)))) | (v108(constB53) <=> (v111(constB53) | v112(constB53)))),
% 13.81/9.03 inference(quant_inst,[status(thm)],[])).
% 13.81/9.03 tff(2538,plain,
% 13.81/9.03 (v108(constB53) <=> (v111(constB53) | v112(constB53))),
% 13.81/9.03 inference(unit_resolution,[status(thm)],[2537, 567])).
% 13.81/9.03 tff(2539,plain,
% 13.81/9.03 ((~![VarCurr: $i] : (v112(VarCurr) <=> (~((~v113(VarCurr)) | (~v126(VarCurr)))))) | (v112(constB53) <=> (~((~v113(constB53)) | (~v126(constB53)))))),
% 13.81/9.03 inference(quant_inst,[status(thm)],[])).
% 13.81/9.03 tff(2540,plain,
% 13.81/9.03 (v112(constB53) <=> (~((~v113(constB53)) | (~v126(constB53))))),
% 13.81/9.03 inference(unit_resolution,[status(thm)],[2539, 579])).
% 13.81/9.03 tff(2541,plain,
% 13.81/9.03 ((~![VarCurr: $i] : (v113(VarCurr) <=> (v114(VarCurr) | v125(VarCurr)))) | (v113(constB53) <=> (v114(constB53) | v125(constB53)))),
% 13.81/9.03 inference(quant_inst,[status(thm)],[])).
% 13.81/9.03 tff(2542,plain,
% 13.81/9.03 (v113(constB53) <=> (v114(constB53) | v125(constB53))),
% 13.81/9.03 inference(unit_resolution,[status(thm)],[2541, 588])).
% 13.81/9.03 tff(2543,plain,
% 13.81/9.03 ((~![VarCurr: $i] : (v114(VarCurr) <=> (v115(VarCurr) | v124(VarCurr)))) | (v114(constB53) <=> (v115(constB53) | v124(constB53)))),
% 13.81/9.03 inference(quant_inst,[status(thm)],[])).
% 13.81/9.03 tff(2544,plain,
% 13.81/9.03 (v114(constB53) <=> (v115(constB53) | v124(constB53))),
% 13.81/9.03 inference(unit_resolution,[status(thm)],[2543, 597])).
% 13.81/9.03 tff(2545,plain,
% 13.81/9.03 ((~![VarCurr: $i] : (v115(VarCurr) <=> (v116(VarCurr) | v123(VarCurr)))) | (v115(constB53) <=> (v116(constB53) | v123(constB53)))),
% 13.81/9.03 inference(quant_inst,[status(thm)],[])).
% 13.81/9.03 tff(2546,plain,
% 13.81/9.03 (v115(constB53) <=> (v116(constB53) | v123(constB53))),
% 13.81/9.03 inference(unit_resolution,[status(thm)],[2545, 606])).
% 13.81/9.03 tff(2547,plain,
% 13.81/9.03 (((~![VarCurr: $i] : (v123(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)))))) | (v123(constB53) <=> (~((~v90(constB53, bitIndex2)) | v90(constB53, bitIndex1) | v90(constB53, bitIndex0))))) <=> ((~![VarCurr: $i] : (v123(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)))))) | (v123(constB53) <=> (~((~v90(constB53, bitIndex2)) | v90(constB53, bitIndex1) | v90(constB53, bitIndex0)))))),
% 13.81/9.03 inference(rewrite,[status(thm)],[])).
% 13.81/9.03 tff(2548,plain,
% 13.81/9.03 ((v123(constB53) <=> (~(v90(constB53, bitIndex0) | v90(constB53, bitIndex1) | (~v90(constB53, bitIndex2))))) <=> (v123(constB53) <=> (~((~v90(constB53, bitIndex2)) | v90(constB53, bitIndex1) | v90(constB53, bitIndex0))))),
% 13.81/9.03 inference(rewrite,[status(thm)],[])).
% 13.81/9.03 tff(2549,plain,
% 13.81/9.03 (((~![VarCurr: $i] : (v123(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)))))) | (v123(constB53) <=> (~(v90(constB53, bitIndex0) | v90(constB53, bitIndex1) | (~v90(constB53, bitIndex2)))))) <=> ((~![VarCurr: $i] : (v123(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)))))) | (v123(constB53) <=> (~((~v90(constB53, bitIndex2)) | v90(constB53, bitIndex1) | v90(constB53, bitIndex0)))))),
% 13.81/9.03 inference(monotonicity,[status(thm)],[2548])).
% 13.81/9.03 tff(2550,plain,
% 13.81/9.03 (((~![VarCurr: $i] : (v123(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)))))) | (v123(constB53) <=> (~(v90(constB53, bitIndex0) | v90(constB53, bitIndex1) | (~v90(constB53, bitIndex2)))))) <=> ((~![VarCurr: $i] : (v123(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)))))) | (v123(constB53) <=> (~((~v90(constB53, bitIndex2)) | v90(constB53, bitIndex1) | v90(constB53, bitIndex0)))))),
% 13.81/9.03 inference(transitivity,[status(thm)],[2549, 2547])).
% 13.81/9.03 tff(2551,plain,
% 13.81/9.03 ((~![VarCurr: $i] : (v123(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)))))) | (v123(constB53) <=> (~(v90(constB53, bitIndex0) | v90(constB53, bitIndex1) | (~v90(constB53, bitIndex2)))))),
% 13.81/9.03 inference(quant_inst,[status(thm)],[])).
% 13.81/9.03 tff(2552,plain,
% 13.81/9.03 ((~![VarCurr: $i] : (v123(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)))))) | (v123(constB53) <=> (~((~v90(constB53, bitIndex2)) | v90(constB53, bitIndex1) | v90(constB53, bitIndex0))))),
% 13.81/9.03 inference(modus_ponens,[status(thm)],[2551, 2550])).
% 13.81/9.03 tff(2553,plain,
% 13.81/9.03 (v123(constB53) <=> (~((~v90(constB53, bitIndex2)) | v90(constB53, bitIndex1) | v90(constB53, bitIndex0)))),
% 13.81/9.03 inference(unit_resolution,[status(thm)],[2552, 621])).
% 13.81/9.03 tff(2554,plain,
% 13.81/9.03 (nextState(constB52, constB53) <=> nextState(constB52, constB53)),
% 13.81/9.03 inference(rewrite,[status(thm)],[])).
% 13.81/9.03 tff(2555,axiom,(nextState(constB52, constB53)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_52')).
% 13.81/9.03 tff(2556,plain,
% 13.81/9.03 (nextState(constB52, constB53)),
% 13.81/9.03 inference(modus_ponens,[status(thm)],[2555, 2554])).
% 13.81/9.03 tff(2557,plain,
% 13.81/9.03 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB52, constB53)) | (v100(constB53) <=> (~((~v101(constB53)) | (~v110(constB53))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB52, constB53)) | (v100(constB53) <=> (~((~v101(constB53)) | (~v110(constB53))))))),
% 13.81/9.03 inference(rewrite,[status(thm)],[])).
% 13.81/9.03 tff(2558,plain,
% 13.81/9.03 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB52, constB53)) | (v100(constB53) <=> (~((~v101(constB53)) | (~v110(constB53))))))),
% 13.81/9.03 inference(quant_inst,[status(thm)],[])).
% 13.81/9.03 tff(2559,plain,
% 13.81/9.03 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB52, constB53)) | (v100(constB53) <=> (~((~v101(constB53)) | (~v110(constB53)))))),
% 13.81/9.03 inference(modus_ponens,[status(thm)],[2558, 2557])).
% 13.81/9.03 tff(2560,plain,
% 13.81/9.03 (v100(constB53) <=> (~((~v101(constB53)) | (~v110(constB53))))),
% 13.81/9.03 inference(unit_resolution,[status(thm)],[2559, 2556, 430])).
% 13.81/9.03 tff(2561,plain,
% 13.81/9.03 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB52, constB53)) | (v101(constB53) <=> (~((~v1(constB53)) | (~v102(constB53))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB52, constB53)) | (v101(constB53) <=> (~((~v1(constB53)) | (~v102(constB53))))))),
% 13.81/9.03 inference(rewrite,[status(thm)],[])).
% 13.81/9.03 tff(2562,plain,
% 13.81/9.03 (((~nextState(constB52, constB53)) | (v101(constB53) <=> (~((~v102(constB53)) | (~v1(constB53)))))) <=> ((~nextState(constB52, constB53)) | (v101(constB53) <=> (~((~v1(constB53)) | (~v102(constB53))))))),
% 13.81/9.03 inference(rewrite,[status(thm)],[])).
% 13.81/9.03 tff(2563,plain,
% 13.81/9.03 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB52, constB53)) | (v101(constB53) <=> (~((~v102(constB53)) | (~v1(constB53))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB52, constB53)) | (v101(constB53) <=> (~((~v1(constB53)) | (~v102(constB53)))))))),
% 13.81/9.03 inference(monotonicity,[status(thm)],[2562])).
% 13.81/9.03 tff(2564,plain,
% 13.81/9.03 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB52, constB53)) | (v101(constB53) <=> (~((~v102(constB53)) | (~v1(constB53))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB52, constB53)) | (v101(constB53) <=> (~((~v1(constB53)) | (~v102(constB53))))))),
% 13.81/9.03 inference(transitivity,[status(thm)],[2563, 2561])).
% 13.81/9.03 tff(2565,plain,
% 13.81/9.03 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB52, constB53)) | (v101(constB53) <=> (~((~v102(constB53)) | (~v1(constB53))))))),
% 13.81/9.03 inference(quant_inst,[status(thm)],[])).
% 13.81/9.03 tff(2566,plain,
% 13.81/9.03 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB52, constB53)) | (v101(constB53) <=> (~((~v1(constB53)) | (~v102(constB53)))))),
% 13.81/9.03 inference(modus_ponens,[status(thm)],[2565, 2564])).
% 13.81/9.03 tff(2567,plain,
% 13.81/9.03 (v101(constB53) <=> (~((~v1(constB53)) | (~v102(constB53))))),
% 13.81/9.03 inference(unit_resolution,[status(thm)],[2566, 2556, 450])).
% 13.81/9.03 tff(2568,plain,
% 13.81/9.03 (((~v1(constB53)) | (~v102(constB53))) | v1(constB53)),
% 13.81/9.03 inference(tautology,[status(thm)],[])).
% 13.81/9.03 tff(2569,plain,
% 13.81/9.03 ((~v1(constB53)) | (~v102(constB53))),
% 13.81/9.04 inference(unit_resolution,[status(thm)],[2568, 2519])).
% 13.81/9.04 tff(2570,plain,
% 13.81/9.04 ((~(v101(constB53) <=> (~((~v1(constB53)) | (~v102(constB53)))))) | (~v101(constB53)) | (~((~v1(constB53)) | (~v102(constB53))))),
% 13.81/9.04 inference(tautology,[status(thm)],[])).
% 13.81/9.04 tff(2571,plain,
% 13.81/9.04 ((~(v101(constB53) <=> (~((~v1(constB53)) | (~v102(constB53)))))) | (~v101(constB53))),
% 13.81/9.04 inference(unit_resolution,[status(thm)],[2570, 2569])).
% 13.81/9.04 tff(2572,plain,
% 13.81/9.04 (~v101(constB53)),
% 13.81/9.04 inference(unit_resolution,[status(thm)],[2571, 2567])).
% 13.81/9.04 tff(2573,plain,
% 13.81/9.04 (((~v101(constB53)) | (~v110(constB53))) | v101(constB53)),
% 13.81/9.04 inference(tautology,[status(thm)],[])).
% 13.81/9.04 tff(2574,plain,
% 13.81/9.04 ((~v101(constB53)) | (~v110(constB53))),
% 13.81/9.04 inference(unit_resolution,[status(thm)],[2573, 2572])).
% 13.81/9.04 tff(2575,plain,
% 13.81/9.04 ((~(v100(constB53) <=> (~((~v101(constB53)) | (~v110(constB53)))))) | (~v100(constB53)) | (~((~v101(constB53)) | (~v110(constB53))))),
% 13.81/9.04 inference(tautology,[status(thm)],[])).
% 13.81/9.04 tff(2576,plain,
% 13.81/9.04 (~v100(constB53)),
% 13.81/9.04 inference(unit_resolution,[status(thm)],[2575, 2574, 2560])).
% 13.81/9.04 tff(2577,plain,
% 13.81/9.04 (((~![VarCurr: $i, VarNext: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v90(VarCurr, B))))) | (v100(constB53) | (~nextState(constB52, constB53)) | ![B: $i] : ((~less_3(B)) | (v90(constB53, B) <=> v90(constB52, B))))) <=> ((~![VarCurr: $i, VarNext: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v90(VarCurr, B))))) | v100(constB53) | (~nextState(constB52, constB53)) | ![B: $i] : ((~less_3(B)) | (v90(constB53, B) <=> v90(constB52, B))))),
% 13.81/9.04 inference(rewrite,[status(thm)],[])).
% 13.81/9.04 tff(2578,plain,
% 13.81/9.04 ((~![VarCurr: $i, VarNext: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v90(VarCurr, B))))) | (v100(constB53) | (~nextState(constB52, constB53)) | ![B: $i] : ((~less_3(B)) | (v90(constB53, B) <=> v90(constB52, B))))),
% 13.81/9.04 inference(quant_inst,[status(thm)],[])).
% 13.81/9.04 tff(2579,plain,
% 13.81/9.04 ((~![VarCurr: $i, VarNext: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v90(VarCurr, B))))) | v100(constB53) | (~nextState(constB52, constB53)) | ![B: $i] : ((~less_3(B)) | (v90(constB53, B) <=> v90(constB52, B)))),
% 13.81/9.04 inference(modus_ponens,[status(thm)],[2578, 2577])).
% 13.81/9.04 tff(2580,plain,
% 13.81/9.04 (v100(constB53) | ![B: $i] : ((~less_3(B)) | (v90(constB53, B) <=> v90(constB52, B)))),
% 13.81/9.04 inference(unit_resolution,[status(thm)],[2579, 2556, 479])).
% 13.81/9.04 tff(2581,plain,
% 13.81/9.04 (![B: $i] : ((~less_3(B)) | (v90(constB53, B) <=> v90(constB52, B)))),
% 13.81/9.04 inference(unit_resolution,[status(thm)],[2580, 2576])).
% 13.81/9.04 tff(2582,plain,
% 13.81/9.04 (((~![B: $i] : ((~less_3(B)) | (v90(constB53, B) <=> v90(constB52, B)))) | ((~less_3(bitIndex2)) | (v90(constB53, bitIndex2) <=> v90(constB52, bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v90(constB53, B) <=> v90(constB52, B)))) | (~less_3(bitIndex2)) | (v90(constB53, bitIndex2) <=> v90(constB52, bitIndex2)))),
% 13.81/9.04 inference(rewrite,[status(thm)],[])).
% 13.81/9.04 tff(2583,plain,
% 13.81/9.04 ((~![B: $i] : ((~less_3(B)) | (v90(constB53, B) <=> v90(constB52, B)))) | ((~less_3(bitIndex2)) | (v90(constB53, bitIndex2) <=> v90(constB52, bitIndex2)))),
% 13.81/9.04 inference(quant_inst,[status(thm)],[])).
% 13.81/9.04 tff(2584,plain,
% 13.81/9.04 ((~![B: $i] : ((~less_3(B)) | (v90(constB53, B) <=> v90(constB52, B)))) | (~less_3(bitIndex2)) | (v90(constB53, bitIndex2) <=> v90(constB52, bitIndex2))),
% 13.81/9.04 inference(modus_ponens,[status(thm)],[2583, 2582])).
% 13.81/9.04 tff(2585,plain,
% 13.81/9.04 (v90(constB53, bitIndex2) <=> v90(constB52, bitIndex2)),
% 13.81/9.04 inference(unit_resolution,[status(thm)],[2584, 413, 2581])).
% 13.81/9.04 tff(2586,plain,
% 13.81/9.04 (nextState(constB51, constB52) <=> nextState(constB51, constB52)),
% 13.81/9.04 inference(rewrite,[status(thm)],[])).
% 13.81/9.04 tff(2587,axiom,(nextState(constB51, constB52)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_51')).
% 13.81/9.04 tff(2588,plain,
% 13.81/9.04 (nextState(constB51, constB52)),
% 13.81/9.04 inference(modus_ponens,[status(thm)],[2587, 2586])).
% 13.81/9.04 tff(2589,plain,
% 13.81/9.04 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB51, constB52)) | (v100(constB52) <=> (~((~v101(constB52)) | (~v110(constB52))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB51, constB52)) | (v100(constB52) <=> (~((~v101(constB52)) | (~v110(constB52))))))),
% 13.81/9.04 inference(rewrite,[status(thm)],[])).
% 13.81/9.04 tff(2590,plain,
% 13.81/9.04 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB51, constB52)) | (v100(constB52) <=> (~((~v101(constB52)) | (~v110(constB52))))))),
% 13.81/9.04 inference(quant_inst,[status(thm)],[])).
% 13.81/9.04 tff(2591,plain,
% 13.81/9.04 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB51, constB52)) | (v100(constB52) <=> (~((~v101(constB52)) | (~v110(constB52)))))),
% 13.81/9.04 inference(modus_ponens,[status(thm)],[2590, 2589])).
% 13.81/9.04 tff(2592,plain,
% 13.81/9.04 (v100(constB52) <=> (~((~v101(constB52)) | (~v110(constB52))))),
% 13.81/9.04 inference(unit_resolution,[status(thm)],[2591, 2588, 430])).
% 13.81/9.04 tff(2593,plain,
% 13.81/9.04 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB51, constB52)) | (v101(constB52) <=> (~((~v1(constB52)) | (~v102(constB52))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB51, constB52)) | (v101(constB52) <=> (~((~v1(constB52)) | (~v102(constB52))))))),
% 13.81/9.04 inference(rewrite,[status(thm)],[])).
% 13.81/9.04 tff(2594,plain,
% 13.81/9.04 (((~nextState(constB51, constB52)) | (v101(constB52) <=> (~((~v102(constB52)) | (~v1(constB52)))))) <=> ((~nextState(constB51, constB52)) | (v101(constB52) <=> (~((~v1(constB52)) | (~v102(constB52))))))),
% 13.81/9.04 inference(rewrite,[status(thm)],[])).
% 13.81/9.04 tff(2595,plain,
% 13.81/9.04 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB51, constB52)) | (v101(constB52) <=> (~((~v102(constB52)) | (~v1(constB52))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB51, constB52)) | (v101(constB52) <=> (~((~v1(constB52)) | (~v102(constB52)))))))),
% 13.81/9.04 inference(monotonicity,[status(thm)],[2594])).
% 13.81/9.04 tff(2596,plain,
% 13.81/9.04 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB51, constB52)) | (v101(constB52) <=> (~((~v102(constB52)) | (~v1(constB52))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB51, constB52)) | (v101(constB52) <=> (~((~v1(constB52)) | (~v102(constB52))))))),
% 13.81/9.04 inference(transitivity,[status(thm)],[2595, 2593])).
% 13.81/9.04 tff(2597,plain,
% 13.81/9.04 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB51, constB52)) | (v101(constB52) <=> (~((~v102(constB52)) | (~v1(constB52))))))),
% 13.81/9.04 inference(quant_inst,[status(thm)],[])).
% 13.81/9.04 tff(2598,plain,
% 13.81/9.04 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB51, constB52)) | (v101(constB52) <=> (~((~v1(constB52)) | (~v102(constB52)))))),
% 13.81/9.04 inference(modus_ponens,[status(thm)],[2597, 2596])).
% 13.81/9.04 tff(2599,plain,
% 13.81/9.04 (v101(constB52) <=> (~((~v1(constB52)) | (~v102(constB52))))),
% 13.81/9.04 inference(unit_resolution,[status(thm)],[2598, 2588, 450])).
% 13.81/9.04 tff(2600,plain,
% 13.81/9.04 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | ((~nextState(constB51, constB52)) | ((~v102(constB52)) <=> v104(constB52)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | (~nextState(constB51, constB52)) | ((~v102(constB52)) <=> v104(constB52)))),
% 13.81/9.04 inference(rewrite,[status(thm)],[])).
% 13.81/9.04 tff(2601,plain,
% 13.81/9.04 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | ((~nextState(constB51, constB52)) | ((~v102(constB52)) <=> v104(constB52)))),
% 13.81/9.04 inference(quant_inst,[status(thm)],[])).
% 13.81/9.04 tff(2602,plain,
% 13.81/9.04 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | (~nextState(constB51, constB52)) | ((~v102(constB52)) <=> v104(constB52))),
% 13.81/9.04 inference(modus_ponens,[status(thm)],[2601, 2600])).
% 13.81/9.04 tff(2603,plain,
% 13.81/9.04 ((~v102(constB52)) <=> v104(constB52)),
% 13.81/9.04 inference(unit_resolution,[status(thm)],[2602, 2588, 512])).
% 13.81/9.04 tff(2604,plain,
% 13.81/9.04 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB51, constB52)) | (v104(constB52) <=> v1(constB51)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | (~nextState(constB51, constB52)) | (v104(constB52) <=> v1(constB51)))),
% 13.81/9.04 inference(rewrite,[status(thm)],[])).
% 13.81/9.04 tff(2605,plain,
% 13.81/9.04 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB51, constB52)) | (v104(constB52) <=> v1(constB51)))),
% 13.81/9.04 inference(quant_inst,[status(thm)],[])).
% 13.81/9.04 tff(2606,plain,
% 13.81/9.04 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | (~nextState(constB51, constB52)) | (v104(constB52) <=> v1(constB51))),
% 13.81/9.04 inference(modus_ponens,[status(thm)],[2605, 2604])).
% 13.81/9.04 tff(2607,plain,
% 13.81/9.04 (v104(constB52) <=> v1(constB51)),
% 13.81/9.04 inference(unit_resolution,[status(thm)],[2606, 2588, 526])).
% 13.81/9.04 tff(2608,plain,
% 13.81/9.04 ((~v1(constB51)) <=> (~v1(constB51))),
% 13.81/9.04 inference(rewrite,[status(thm)],[])).
% 13.81/9.04 tff(2609,axiom,(~v1(constB51)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_51')).
% 13.81/9.04 tff(2610,plain,
% 13.81/9.04 (~v1(constB51)),
% 13.81/9.04 inference(modus_ponens,[status(thm)],[2609, 2608])).
% 13.81/9.04 tff(2611,plain,
% 13.81/9.04 ((~(v104(constB52) <=> v1(constB51))) | (~v104(constB52)) | v1(constB51)),
% 13.81/9.04 inference(tautology,[status(thm)],[])).
% 13.81/9.04 tff(2612,plain,
% 13.81/9.04 ((~(v104(constB52) <=> v1(constB51))) | (~v104(constB52))),
% 13.81/9.04 inference(unit_resolution,[status(thm)],[2611, 2610])).
% 13.81/9.04 tff(2613,plain,
% 13.81/9.04 (~v104(constB52)),
% 13.81/9.04 inference(unit_resolution,[status(thm)],[2612, 2607])).
% 13.81/9.04 tff(2614,plain,
% 13.81/9.04 ((~((~v102(constB52)) <=> v104(constB52))) | v102(constB52) | v104(constB52)),
% 13.81/9.04 inference(tautology,[status(thm)],[])).
% 13.81/9.04 tff(2615,plain,
% 13.81/9.04 (v102(constB52)),
% 13.81/9.04 inference(unit_resolution,[status(thm)],[2614, 2613, 2603])).
% 13.81/9.04 tff(2616,plain,
% 13.81/9.04 (v1(constB52) <=> v1(constB52)),
% 13.81/9.04 inference(rewrite,[status(thm)],[])).
% 13.81/9.04 tff(2617,axiom,(v1(constB52)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_52')).
% 13.81/9.04 tff(2618,plain,
% 13.81/9.04 (v1(constB52)),
% 13.81/9.04 inference(modus_ponens,[status(thm)],[2617, 2616])).
% 13.81/9.04 tff(2619,plain,
% 13.81/9.04 ((~((~v1(constB52)) | (~v102(constB52)))) | (~v1(constB52)) | (~v102(constB52))),
% 13.81/9.04 inference(tautology,[status(thm)],[])).
% 13.81/9.04 tff(2620,plain,
% 13.81/9.04 ((~((~v1(constB52)) | (~v102(constB52)))) | (~v102(constB52))),
% 13.81/9.04 inference(unit_resolution,[status(thm)],[2619, 2618])).
% 13.81/9.04 tff(2621,plain,
% 13.81/9.04 (~((~v1(constB52)) | (~v102(constB52)))),
% 13.81/9.04 inference(unit_resolution,[status(thm)],[2620, 2615])).
% 13.81/9.04 tff(2622,plain,
% 13.81/9.04 ((~(v101(constB52) <=> (~((~v1(constB52)) | (~v102(constB52)))))) | v101(constB52) | ((~v1(constB52)) | (~v102(constB52)))),
% 13.81/9.04 inference(tautology,[status(thm)],[])).
% 13.81/9.04 tff(2623,plain,
% 13.81/9.04 (v101(constB52)),
% 13.81/9.04 inference(unit_resolution,[status(thm)],[2622, 2621, 2599])).
% 13.81/9.04 tff(2624,plain,
% 13.81/9.04 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | ((~nextState(constB51, constB52)) | (v110(constB52) <=> v108(constB51)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | (~nextState(constB51, constB52)) | (v110(constB52) <=> v108(constB51)))),
% 13.81/9.04 inference(rewrite,[status(thm)],[])).
% 13.81/9.04 tff(2625,plain,
% 13.81/9.04 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | ((~nextState(constB51, constB52)) | (v110(constB52) <=> v108(constB51)))),
% 13.81/9.04 inference(quant_inst,[status(thm)],[])).
% 13.81/9.04 tff(2626,plain,
% 13.81/9.04 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | (~nextState(constB51, constB52)) | (v110(constB52) <=> v108(constB51))),
% 13.81/9.04 inference(modus_ponens,[status(thm)],[2625, 2624])).
% 13.81/9.04 tff(2627,plain,
% 13.81/9.04 (v110(constB52) <=> v108(constB51)),
% 13.81/9.04 inference(unit_resolution,[status(thm)],[2626, 2588, 556])).
% 13.81/9.04 tff(2628,plain,
% 13.81/9.04 ((~![VarCurr: $i] : (v108(VarCurr) <=> (v111(VarCurr) | v112(VarCurr)))) | (v108(constB51) <=> (v111(constB51) | v112(constB51)))),
% 13.81/9.04 inference(quant_inst,[status(thm)],[])).
% 13.81/9.04 tff(2629,plain,
% 13.81/9.04 (v108(constB51) <=> (v111(constB51) | v112(constB51))),
% 13.81/9.04 inference(unit_resolution,[status(thm)],[2628, 567])).
% 13.81/9.04 tff(2630,plain,
% 13.81/9.04 ((~![VarCurr: $i] : (v112(VarCurr) <=> (~((~v113(VarCurr)) | (~v126(VarCurr)))))) | (v112(constB51) <=> (~((~v113(constB51)) | (~v126(constB51)))))),
% 13.81/9.04 inference(quant_inst,[status(thm)],[])).
% 13.81/9.04 tff(2631,plain,
% 13.81/9.04 (v112(constB51) <=> (~((~v113(constB51)) | (~v126(constB51))))),
% 13.81/9.04 inference(unit_resolution,[status(thm)],[2630, 579])).
% 13.81/9.04 tff(2632,plain,
% 13.81/9.04 ((~![VarCurr: $i] : (v113(VarCurr) <=> (v114(VarCurr) | v125(VarCurr)))) | (v113(constB51) <=> (v114(constB51) | v125(constB51)))),
% 13.81/9.04 inference(quant_inst,[status(thm)],[])).
% 13.81/9.04 tff(2633,plain,
% 13.81/9.04 (v113(constB51) <=> (v114(constB51) | v125(constB51))),
% 13.81/9.04 inference(unit_resolution,[status(thm)],[2632, 588])).
% 13.81/9.04 tff(2634,plain,
% 13.81/9.04 ((~![VarCurr: $i] : (v114(VarCurr) <=> (v115(VarCurr) | v124(VarCurr)))) | (v114(constB51) <=> (v115(constB51) | v124(constB51)))),
% 13.81/9.04 inference(quant_inst,[status(thm)],[])).
% 13.81/9.04 tff(2635,plain,
% 13.81/9.04 (v114(constB51) <=> (v115(constB51) | v124(constB51))),
% 13.81/9.04 inference(unit_resolution,[status(thm)],[2634, 597])).
% 13.81/9.04 tff(2636,plain,
% 13.81/9.04 ((~![VarCurr: $i] : (v115(VarCurr) <=> (v116(VarCurr) | v123(VarCurr)))) | (v115(constB51) <=> (v116(constB51) | v123(constB51)))),
% 13.81/9.04 inference(quant_inst,[status(thm)],[])).
% 13.81/9.04 tff(2637,plain,
% 13.81/9.04 (v115(constB51) <=> (v116(constB51) | v123(constB51))),
% 13.81/9.04 inference(unit_resolution,[status(thm)],[2636, 606])).
% 13.81/9.04 tff(2638,plain,
% 13.81/9.04 ((~![VarCurr: $i] : (v116(VarCurr) <=> (v117(VarCurr) | v122(VarCurr)))) | (v116(constB51) <=> (v117(constB51) | v122(constB51)))),
% 13.81/9.04 inference(quant_inst,[status(thm)],[])).
% 13.81/9.04 tff(2639,plain,
% 13.81/9.04 (v116(constB51) <=> (v117(constB51) | v122(constB51))),
% 13.81/9.04 inference(unit_resolution,[status(thm)],[2638, 719])).
% 13.81/9.04 tff(2640,plain,
% 13.81/9.04 (((~![VarCurr: $i] : (v122(VarCurr) <=> (~(v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)))))) | (v122(constB51) <=> (~(v90(constB51, bitIndex2) | (~v90(constB51, bitIndex1)) | (~v90(constB51, bitIndex0)))))) <=> ((~![VarCurr: $i] : (v122(VarCurr) <=> (~(v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)))))) | (v122(constB51) <=> (~(v90(constB51, bitIndex2) | (~v90(constB51, bitIndex1)) | (~v90(constB51, bitIndex0))))))),
% 13.81/9.04 inference(rewrite,[status(thm)],[])).
% 13.81/9.04 tff(2641,plain,
% 13.81/9.04 ((v122(constB51) <=> (~(v90(constB51, bitIndex2) | (~v90(constB51, bitIndex0)) | (~v90(constB51, bitIndex1))))) <=> (v122(constB51) <=> (~(v90(constB51, bitIndex2) | (~v90(constB51, bitIndex1)) | (~v90(constB51, bitIndex0)))))),
% 13.81/9.04 inference(rewrite,[status(thm)],[])).
% 13.81/9.04 tff(2642,plain,
% 13.81/9.04 (((~![VarCurr: $i] : (v122(VarCurr) <=> (~(v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)))))) | (v122(constB51) <=> (~(v90(constB51, bitIndex2) | (~v90(constB51, bitIndex0)) | (~v90(constB51, bitIndex1)))))) <=> ((~![VarCurr: $i] : (v122(VarCurr) <=> (~(v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)))))) | (v122(constB51) <=> (~(v90(constB51, bitIndex2) | (~v90(constB51, bitIndex1)) | (~v90(constB51, bitIndex0))))))),
% 13.81/9.04 inference(monotonicity,[status(thm)],[2641])).
% 13.81/9.04 tff(2643,plain,
% 13.81/9.04 (((~![VarCurr: $i] : (v122(VarCurr) <=> (~(v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)))))) | (v122(constB51) <=> (~(v90(constB51, bitIndex2) | (~v90(constB51, bitIndex0)) | (~v90(constB51, bitIndex1)))))) <=> ((~![VarCurr: $i] : (v122(VarCurr) <=> (~(v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)))))) | (v122(constB51) <=> (~(v90(constB51, bitIndex2) | (~v90(constB51, bitIndex1)) | (~v90(constB51, bitIndex0))))))),
% 13.81/9.04 inference(transitivity,[status(thm)],[2642, 2640])).
% 13.81/9.04 tff(2644,plain,
% 13.81/9.04 ((~![VarCurr: $i] : (v122(VarCurr) <=> (~(v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)))))) | (v122(constB51) <=> (~(v90(constB51, bitIndex2) | (~v90(constB51, bitIndex0)) | (~v90(constB51, bitIndex1)))))),
% 13.81/9.04 inference(quant_inst,[status(thm)],[])).
% 13.81/9.04 tff(2645,plain,
% 13.81/9.04 ((~![VarCurr: $i] : (v122(VarCurr) <=> (~(v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)))))) | (v122(constB51) <=> (~(v90(constB51, bitIndex2) | (~v90(constB51, bitIndex1)) | (~v90(constB51, bitIndex0)))))),
% 13.81/9.04 inference(modus_ponens,[status(thm)],[2644, 2643])).
% 13.81/9.04 tff(2646,plain,
% 13.81/9.04 (v122(constB51) <=> (~(v90(constB51, bitIndex2) | (~v90(constB51, bitIndex1)) | (~v90(constB51, bitIndex0))))),
% 13.81/9.04 inference(unit_resolution,[status(thm)],[2645, 734])).
% 13.81/9.04 tff(2647,plain,
% 13.81/9.04 (nextState(constB50, constB51) <=> nextState(constB50, constB51)),
% 13.81/9.04 inference(rewrite,[status(thm)],[])).
% 13.81/9.04 tff(2648,axiom,(nextState(constB50, constB51)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_50')).
% 13.81/9.04 tff(2649,plain,
% 13.81/9.04 (nextState(constB50, constB51)),
% 13.81/9.04 inference(modus_ponens,[status(thm)],[2648, 2647])).
% 13.81/9.04 tff(2650,plain,
% 13.81/9.04 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB50, constB51)) | (v100(constB51) <=> (~((~v101(constB51)) | (~v110(constB51))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB50, constB51)) | (v100(constB51) <=> (~((~v101(constB51)) | (~v110(constB51))))))),
% 13.81/9.04 inference(rewrite,[status(thm)],[])).
% 13.81/9.04 tff(2651,plain,
% 13.81/9.04 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB50, constB51)) | (v100(constB51) <=> (~((~v101(constB51)) | (~v110(constB51))))))),
% 13.81/9.04 inference(quant_inst,[status(thm)],[])).
% 13.81/9.04 tff(2652,plain,
% 13.81/9.04 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB50, constB51)) | (v100(constB51) <=> (~((~v101(constB51)) | (~v110(constB51)))))),
% 13.81/9.04 inference(modus_ponens,[status(thm)],[2651, 2650])).
% 13.81/9.04 tff(2653,plain,
% 13.81/9.04 (v100(constB51) <=> (~((~v101(constB51)) | (~v110(constB51))))),
% 13.81/9.04 inference(unit_resolution,[status(thm)],[2652, 2649, 430])).
% 13.81/9.04 tff(2654,plain,
% 13.81/9.04 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB50, constB51)) | (v101(constB51) <=> (~((~v1(constB51)) | (~v102(constB51))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB50, constB51)) | (v101(constB51) <=> (~((~v1(constB51)) | (~v102(constB51))))))),
% 13.81/9.04 inference(rewrite,[status(thm)],[])).
% 13.81/9.04 tff(2655,plain,
% 13.81/9.04 (((~nextState(constB50, constB51)) | (v101(constB51) <=> (~((~v102(constB51)) | (~v1(constB51)))))) <=> ((~nextState(constB50, constB51)) | (v101(constB51) <=> (~((~v1(constB51)) | (~v102(constB51))))))),
% 13.81/9.04 inference(rewrite,[status(thm)],[])).
% 13.81/9.04 tff(2656,plain,
% 13.81/9.04 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB50, constB51)) | (v101(constB51) <=> (~((~v102(constB51)) | (~v1(constB51))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB50, constB51)) | (v101(constB51) <=> (~((~v1(constB51)) | (~v102(constB51)))))))),
% 13.81/9.05 inference(monotonicity,[status(thm)],[2655])).
% 13.81/9.05 tff(2657,plain,
% 13.81/9.05 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB50, constB51)) | (v101(constB51) <=> (~((~v102(constB51)) | (~v1(constB51))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB50, constB51)) | (v101(constB51) <=> (~((~v1(constB51)) | (~v102(constB51))))))),
% 13.81/9.05 inference(transitivity,[status(thm)],[2656, 2654])).
% 13.81/9.05 tff(2658,plain,
% 13.81/9.05 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB50, constB51)) | (v101(constB51) <=> (~((~v102(constB51)) | (~v1(constB51))))))),
% 13.81/9.05 inference(quant_inst,[status(thm)],[])).
% 13.81/9.05 tff(2659,plain,
% 13.81/9.05 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB50, constB51)) | (v101(constB51) <=> (~((~v1(constB51)) | (~v102(constB51)))))),
% 13.81/9.05 inference(modus_ponens,[status(thm)],[2658, 2657])).
% 13.81/9.05 tff(2660,plain,
% 13.81/9.05 (v101(constB51) <=> (~((~v1(constB51)) | (~v102(constB51))))),
% 13.81/9.05 inference(unit_resolution,[status(thm)],[2659, 2649, 450])).
% 13.81/9.05 tff(2661,plain,
% 13.81/9.05 (((~v1(constB51)) | (~v102(constB51))) | v1(constB51)),
% 13.81/9.05 inference(tautology,[status(thm)],[])).
% 13.81/9.05 tff(2662,plain,
% 13.81/9.05 ((~v1(constB51)) | (~v102(constB51))),
% 13.81/9.05 inference(unit_resolution,[status(thm)],[2661, 2610])).
% 13.81/9.05 tff(2663,plain,
% 13.81/9.05 ((~(v101(constB51) <=> (~((~v1(constB51)) | (~v102(constB51)))))) | (~v101(constB51)) | (~((~v1(constB51)) | (~v102(constB51))))),
% 13.81/9.05 inference(tautology,[status(thm)],[])).
% 13.81/9.05 tff(2664,plain,
% 13.81/9.05 ((~(v101(constB51) <=> (~((~v1(constB51)) | (~v102(constB51)))))) | (~v101(constB51))),
% 13.81/9.05 inference(unit_resolution,[status(thm)],[2663, 2662])).
% 13.81/9.05 tff(2665,plain,
% 13.81/9.05 (~v101(constB51)),
% 13.81/9.05 inference(unit_resolution,[status(thm)],[2664, 2660])).
% 13.81/9.05 tff(2666,plain,
% 13.81/9.05 (((~v101(constB51)) | (~v110(constB51))) | v101(constB51)),
% 13.81/9.05 inference(tautology,[status(thm)],[])).
% 13.81/9.05 tff(2667,plain,
% 13.81/9.05 ((~v101(constB51)) | (~v110(constB51))),
% 13.81/9.05 inference(unit_resolution,[status(thm)],[2666, 2665])).
% 13.81/9.05 tff(2668,plain,
% 13.81/9.05 ((~(v100(constB51) <=> (~((~v101(constB51)) | (~v110(constB51)))))) | (~v100(constB51)) | (~((~v101(constB51)) | (~v110(constB51))))),
% 13.81/9.05 inference(tautology,[status(thm)],[])).
% 13.81/9.05 tff(2669,plain,
% 13.81/9.05 (~v100(constB51)),
% 13.81/9.05 inference(unit_resolution,[status(thm)],[2668, 2667, 2653])).
% 13.81/9.05 tff(2670,plain,
% 13.81/9.05 (((~![VarCurr: $i, VarNext: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v90(VarCurr, B))))) | (v100(constB51) | (~nextState(constB50, constB51)) | ![B: $i] : ((~less_3(B)) | (v90(constB51, B) <=> v90(constB50, B))))) <=> ((~![VarCurr: $i, VarNext: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v90(VarCurr, B))))) | v100(constB51) | (~nextState(constB50, constB51)) | ![B: $i] : ((~less_3(B)) | (v90(constB51, B) <=> v90(constB50, B))))),
% 13.81/9.05 inference(rewrite,[status(thm)],[])).
% 13.81/9.05 tff(2671,plain,
% 13.81/9.05 ((~![VarCurr: $i, VarNext: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v90(VarCurr, B))))) | (v100(constB51) | (~nextState(constB50, constB51)) | ![B: $i] : ((~less_3(B)) | (v90(constB51, B) <=> v90(constB50, B))))),
% 13.81/9.05 inference(quant_inst,[status(thm)],[])).
% 13.81/9.05 tff(2672,plain,
% 13.81/9.05 ((~![VarCurr: $i, VarNext: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v90(VarCurr, B))))) | v100(constB51) | (~nextState(constB50, constB51)) | ![B: $i] : ((~less_3(B)) | (v90(constB51, B) <=> v90(constB50, B)))),
% 13.81/9.05 inference(modus_ponens,[status(thm)],[2671, 2670])).
% 13.81/9.05 tff(2673,plain,
% 13.81/9.05 (v100(constB51) | ![B: $i] : ((~less_3(B)) | (v90(constB51, B) <=> v90(constB50, B)))),
% 13.81/9.05 inference(unit_resolution,[status(thm)],[2672, 2649, 479])).
% 13.81/9.05 tff(2674,plain,
% 13.81/9.05 (![B: $i] : ((~less_3(B)) | (v90(constB51, B) <=> v90(constB50, B)))),
% 13.81/9.05 inference(unit_resolution,[status(thm)],[2673, 2669])).
% 13.81/9.05 tff(2675,plain,
% 13.81/9.05 (((~![B: $i] : ((~less_3(B)) | (v90(constB51, B) <=> v90(constB50, B)))) | ((~less_3(bitIndex2)) | (v90(constB51, bitIndex2) <=> v90(constB50, bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v90(constB51, B) <=> v90(constB50, B)))) | (~less_3(bitIndex2)) | (v90(constB51, bitIndex2) <=> v90(constB50, bitIndex2)))),
% 13.81/9.05 inference(rewrite,[status(thm)],[])).
% 13.81/9.05 tff(2676,plain,
% 13.81/9.05 ((~![B: $i] : ((~less_3(B)) | (v90(constB51, B) <=> v90(constB50, B)))) | ((~less_3(bitIndex2)) | (v90(constB51, bitIndex2) <=> v90(constB50, bitIndex2)))),
% 13.81/9.05 inference(quant_inst,[status(thm)],[])).
% 13.81/9.05 tff(2677,plain,
% 13.81/9.05 ((~![B: $i] : ((~less_3(B)) | (v90(constB51, B) <=> v90(constB50, B)))) | (~less_3(bitIndex2)) | (v90(constB51, bitIndex2) <=> v90(constB50, bitIndex2))),
% 13.81/9.05 inference(modus_ponens,[status(thm)],[2676, 2675])).
% 13.81/9.05 tff(2678,plain,
% 13.81/9.05 (v90(constB51, bitIndex2) <=> v90(constB50, bitIndex2)),
% 13.81/9.05 inference(unit_resolution,[status(thm)],[2677, 413, 2674])).
% 13.81/9.05 tff(2679,plain,
% 13.81/9.05 (nextState(constB49, constB50) <=> nextState(constB49, constB50)),
% 13.81/9.05 inference(rewrite,[status(thm)],[])).
% 13.81/9.05 tff(2680,axiom,(nextState(constB49, constB50)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_49')).
% 13.81/9.05 tff(2681,plain,
% 13.81/9.05 (nextState(constB49, constB50)),
% 13.81/9.05 inference(modus_ponens,[status(thm)],[2680, 2679])).
% 13.81/9.05 tff(2682,plain,
% 13.81/9.05 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB49, constB50)) | (v100(constB50) <=> (~((~v101(constB50)) | (~v110(constB50))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB49, constB50)) | (v100(constB50) <=> (~((~v101(constB50)) | (~v110(constB50))))))),
% 13.81/9.05 inference(rewrite,[status(thm)],[])).
% 13.81/9.05 tff(2683,plain,
% 13.81/9.05 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB49, constB50)) | (v100(constB50) <=> (~((~v101(constB50)) | (~v110(constB50))))))),
% 13.81/9.05 inference(quant_inst,[status(thm)],[])).
% 13.81/9.05 tff(2684,plain,
% 13.81/9.05 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB49, constB50)) | (v100(constB50) <=> (~((~v101(constB50)) | (~v110(constB50)))))),
% 13.81/9.05 inference(modus_ponens,[status(thm)],[2683, 2682])).
% 13.81/9.05 tff(2685,plain,
% 13.81/9.05 (v100(constB50) <=> (~((~v101(constB50)) | (~v110(constB50))))),
% 13.81/9.05 inference(unit_resolution,[status(thm)],[2684, 2681, 430])).
% 13.81/9.05 tff(2686,plain,
% 13.81/9.05 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB49, constB50)) | (v101(constB50) <=> (~((~v1(constB50)) | (~v102(constB50))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB49, constB50)) | (v101(constB50) <=> (~((~v1(constB50)) | (~v102(constB50))))))),
% 13.81/9.05 inference(rewrite,[status(thm)],[])).
% 13.81/9.05 tff(2687,plain,
% 13.81/9.05 (((~nextState(constB49, constB50)) | (v101(constB50) <=> (~((~v102(constB50)) | (~v1(constB50)))))) <=> ((~nextState(constB49, constB50)) | (v101(constB50) <=> (~((~v1(constB50)) | (~v102(constB50))))))),
% 13.81/9.05 inference(rewrite,[status(thm)],[])).
% 13.81/9.05 tff(2688,plain,
% 13.81/9.05 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB49, constB50)) | (v101(constB50) <=> (~((~v102(constB50)) | (~v1(constB50))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB49, constB50)) | (v101(constB50) <=> (~((~v1(constB50)) | (~v102(constB50)))))))),
% 13.81/9.05 inference(monotonicity,[status(thm)],[2687])).
% 13.81/9.05 tff(2689,plain,
% 13.81/9.05 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB49, constB50)) | (v101(constB50) <=> (~((~v102(constB50)) | (~v1(constB50))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB49, constB50)) | (v101(constB50) <=> (~((~v1(constB50)) | (~v102(constB50))))))),
% 13.81/9.05 inference(transitivity,[status(thm)],[2688, 2686])).
% 13.81/9.05 tff(2690,plain,
% 13.81/9.05 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB49, constB50)) | (v101(constB50) <=> (~((~v102(constB50)) | (~v1(constB50))))))),
% 13.81/9.05 inference(quant_inst,[status(thm)],[])).
% 13.81/9.05 tff(2691,plain,
% 13.81/9.05 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB49, constB50)) | (v101(constB50) <=> (~((~v1(constB50)) | (~v102(constB50)))))),
% 13.81/9.05 inference(modus_ponens,[status(thm)],[2690, 2689])).
% 13.81/9.05 tff(2692,plain,
% 13.81/9.05 (v101(constB50) <=> (~((~v1(constB50)) | (~v102(constB50))))),
% 13.81/9.05 inference(unit_resolution,[status(thm)],[2691, 2681, 450])).
% 13.81/9.05 tff(2693,plain,
% 13.81/9.05 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | ((~nextState(constB49, constB50)) | ((~v102(constB50)) <=> v104(constB50)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | (~nextState(constB49, constB50)) | ((~v102(constB50)) <=> v104(constB50)))),
% 13.81/9.05 inference(rewrite,[status(thm)],[])).
% 13.81/9.05 tff(2694,plain,
% 13.81/9.05 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | ((~nextState(constB49, constB50)) | ((~v102(constB50)) <=> v104(constB50)))),
% 13.81/9.05 inference(quant_inst,[status(thm)],[])).
% 13.81/9.05 tff(2695,plain,
% 13.81/9.05 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | (~nextState(constB49, constB50)) | ((~v102(constB50)) <=> v104(constB50))),
% 13.81/9.05 inference(modus_ponens,[status(thm)],[2694, 2693])).
% 13.81/9.05 tff(2696,plain,
% 13.81/9.05 ((~v102(constB50)) <=> v104(constB50)),
% 13.81/9.05 inference(unit_resolution,[status(thm)],[2695, 2681, 512])).
% 13.81/9.05 tff(2697,plain,
% 13.81/9.05 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB49, constB50)) | (v104(constB50) <=> v1(constB49)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | (~nextState(constB49, constB50)) | (v104(constB50) <=> v1(constB49)))),
% 13.81/9.05 inference(rewrite,[status(thm)],[])).
% 13.81/9.05 tff(2698,plain,
% 13.81/9.05 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB49, constB50)) | (v104(constB50) <=> v1(constB49)))),
% 13.81/9.05 inference(quant_inst,[status(thm)],[])).
% 13.81/9.05 tff(2699,plain,
% 13.81/9.05 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | (~nextState(constB49, constB50)) | (v104(constB50) <=> v1(constB49))),
% 13.81/9.05 inference(modus_ponens,[status(thm)],[2698, 2697])).
% 13.81/9.05 tff(2700,plain,
% 13.81/9.05 (v104(constB50) <=> v1(constB49)),
% 13.81/9.05 inference(unit_resolution,[status(thm)],[2699, 2681, 526])).
% 13.81/9.05 tff(2701,plain,
% 13.81/9.05 ((~v1(constB49)) <=> (~v1(constB49))),
% 13.81/9.05 inference(rewrite,[status(thm)],[])).
% 13.81/9.05 tff(2702,axiom,(~v1(constB49)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_49')).
% 13.81/9.05 tff(2703,plain,
% 13.81/9.05 (~v1(constB49)),
% 13.81/9.05 inference(modus_ponens,[status(thm)],[2702, 2701])).
% 13.81/9.05 tff(2704,plain,
% 13.81/9.05 ((~(v104(constB50) <=> v1(constB49))) | (~v104(constB50)) | v1(constB49)),
% 13.81/9.05 inference(tautology,[status(thm)],[])).
% 13.81/9.05 tff(2705,plain,
% 13.81/9.05 ((~(v104(constB50) <=> v1(constB49))) | (~v104(constB50))),
% 13.81/9.05 inference(unit_resolution,[status(thm)],[2704, 2703])).
% 13.81/9.05 tff(2706,plain,
% 13.81/9.05 (~v104(constB50)),
% 13.81/9.05 inference(unit_resolution,[status(thm)],[2705, 2700])).
% 13.81/9.05 tff(2707,plain,
% 13.81/9.05 ((~((~v102(constB50)) <=> v104(constB50))) | v102(constB50) | v104(constB50)),
% 13.81/9.05 inference(tautology,[status(thm)],[])).
% 13.81/9.05 tff(2708,plain,
% 13.81/9.05 (v102(constB50)),
% 13.81/9.05 inference(unit_resolution,[status(thm)],[2707, 2706, 2696])).
% 13.81/9.05 tff(2709,plain,
% 13.81/9.05 (v1(constB50) <=> v1(constB50)),
% 13.81/9.05 inference(rewrite,[status(thm)],[])).
% 13.81/9.05 tff(2710,axiom,(v1(constB50)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_50')).
% 13.81/9.05 tff(2711,plain,
% 13.81/9.05 (v1(constB50)),
% 13.81/9.05 inference(modus_ponens,[status(thm)],[2710, 2709])).
% 13.81/9.05 tff(2712,plain,
% 13.81/9.05 ((~((~v1(constB50)) | (~v102(constB50)))) | (~v1(constB50)) | (~v102(constB50))),
% 13.81/9.05 inference(tautology,[status(thm)],[])).
% 13.81/9.05 tff(2713,plain,
% 13.81/9.05 ((~((~v1(constB50)) | (~v102(constB50)))) | (~v102(constB50))),
% 13.81/9.05 inference(unit_resolution,[status(thm)],[2712, 2711])).
% 13.81/9.05 tff(2714,plain,
% 13.81/9.05 (~((~v1(constB50)) | (~v102(constB50)))),
% 13.81/9.05 inference(unit_resolution,[status(thm)],[2713, 2708])).
% 13.81/9.05 tff(2715,plain,
% 13.81/9.05 ((~(v101(constB50) <=> (~((~v1(constB50)) | (~v102(constB50)))))) | v101(constB50) | ((~v1(constB50)) | (~v102(constB50)))),
% 13.81/9.05 inference(tautology,[status(thm)],[])).
% 13.81/9.05 tff(2716,plain,
% 13.81/9.05 (v101(constB50)),
% 13.81/9.05 inference(unit_resolution,[status(thm)],[2715, 2714, 2692])).
% 13.81/9.05 tff(2717,plain,
% 13.81/9.05 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | ((~nextState(constB49, constB50)) | (v110(constB50) <=> v108(constB49)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | (~nextState(constB49, constB50)) | (v110(constB50) <=> v108(constB49)))),
% 13.81/9.05 inference(rewrite,[status(thm)],[])).
% 13.81/9.05 tff(2718,plain,
% 13.81/9.05 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | ((~nextState(constB49, constB50)) | (v110(constB50) <=> v108(constB49)))),
% 13.81/9.05 inference(quant_inst,[status(thm)],[])).
% 13.81/9.05 tff(2719,plain,
% 13.81/9.05 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | (~nextState(constB49, constB50)) | (v110(constB50) <=> v108(constB49))),
% 13.81/9.05 inference(modus_ponens,[status(thm)],[2718, 2717])).
% 13.81/9.05 tff(2720,plain,
% 13.81/9.05 (v110(constB50) <=> v108(constB49)),
% 13.81/9.05 inference(unit_resolution,[status(thm)],[2719, 2681, 556])).
% 13.81/9.05 tff(2721,plain,
% 13.81/9.05 ((~![VarCurr: $i] : (v108(VarCurr) <=> (v111(VarCurr) | v112(VarCurr)))) | (v108(constB49) <=> (v111(constB49) | v112(constB49)))),
% 13.81/9.05 inference(quant_inst,[status(thm)],[])).
% 13.81/9.05 tff(2722,plain,
% 13.81/9.05 (v108(constB49) <=> (v111(constB49) | v112(constB49))),
% 13.81/9.05 inference(unit_resolution,[status(thm)],[2721, 567])).
% 13.81/9.05 tff(2723,plain,
% 13.81/9.05 ((~![VarCurr: $i] : (v112(VarCurr) <=> (~((~v113(VarCurr)) | (~v126(VarCurr)))))) | (v112(constB49) <=> (~((~v113(constB49)) | (~v126(constB49)))))),
% 13.81/9.05 inference(quant_inst,[status(thm)],[])).
% 13.81/9.05 tff(2724,plain,
% 13.81/9.05 (v112(constB49) <=> (~((~v113(constB49)) | (~v126(constB49))))),
% 13.81/9.05 inference(unit_resolution,[status(thm)],[2723, 579])).
% 13.81/9.05 tff(2725,plain,
% 13.81/9.05 ((~![VarCurr: $i] : (v113(VarCurr) <=> (v114(VarCurr) | v125(VarCurr)))) | (v113(constB49) <=> (v114(constB49) | v125(constB49)))),
% 13.81/9.05 inference(quant_inst,[status(thm)],[])).
% 13.81/9.05 tff(2726,plain,
% 13.81/9.05 (v113(constB49) <=> (v114(constB49) | v125(constB49))),
% 13.81/9.05 inference(unit_resolution,[status(thm)],[2725, 588])).
% 13.81/9.05 tff(2727,plain,
% 13.81/9.05 ((~![VarCurr: $i] : (v114(VarCurr) <=> (v115(VarCurr) | v124(VarCurr)))) | (v114(constB49) <=> (v115(constB49) | v124(constB49)))),
% 13.81/9.05 inference(quant_inst,[status(thm)],[])).
% 13.81/9.05 tff(2728,plain,
% 13.81/9.05 (v114(constB49) <=> (v115(constB49) | v124(constB49))),
% 13.81/9.05 inference(unit_resolution,[status(thm)],[2727, 597])).
% 13.81/9.05 tff(2729,plain,
% 13.81/9.05 ((~![VarCurr: $i] : (v115(VarCurr) <=> (v116(VarCurr) | v123(VarCurr)))) | (v115(constB49) <=> (v116(constB49) | v123(constB49)))),
% 13.81/9.06 inference(quant_inst,[status(thm)],[])).
% 13.81/9.06 tff(2730,plain,
% 13.81/9.06 (v115(constB49) <=> (v116(constB49) | v123(constB49))),
% 13.81/9.06 inference(unit_resolution,[status(thm)],[2729, 606])).
% 13.81/9.06 tff(2731,plain,
% 13.81/9.06 ((~![VarCurr: $i] : (v116(VarCurr) <=> (v117(VarCurr) | v122(VarCurr)))) | (v116(constB49) <=> (v117(constB49) | v122(constB49)))),
% 13.81/9.06 inference(quant_inst,[status(thm)],[])).
% 13.81/9.06 tff(2732,plain,
% 13.81/9.06 (v116(constB49) <=> (v117(constB49) | v122(constB49))),
% 13.81/9.06 inference(unit_resolution,[status(thm)],[2731, 719])).
% 13.81/9.06 tff(2733,plain,
% 13.81/9.06 ((~![VarCurr: $i] : (v117(VarCurr) <=> (v118(VarCurr) | v121(VarCurr)))) | (v117(constB49) <=> (v118(constB49) | v121(constB49)))),
% 13.81/9.06 inference(quant_inst,[status(thm)],[])).
% 13.81/9.06 tff(2734,plain,
% 13.81/9.06 (v117(constB49) <=> (v118(constB49) | v121(constB49))),
% 13.81/9.06 inference(unit_resolution,[status(thm)],[2733, 834])).
% 13.81/9.06 tff(2735,plain,
% 13.81/9.06 (((~![VarCurr: $i] : (v121(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex1)))))) | (v121(constB49) <=> (~(v90(constB49, bitIndex2) | (~v90(constB49, bitIndex1)) | v90(constB49, bitIndex0))))) <=> ((~![VarCurr: $i] : (v121(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex1)))))) | (v121(constB49) <=> (~(v90(constB49, bitIndex2) | (~v90(constB49, bitIndex1)) | v90(constB49, bitIndex0)))))),
% 13.81/9.06 inference(rewrite,[status(thm)],[])).
% 13.81/9.06 tff(2736,plain,
% 13.81/9.06 ((v121(constB49) <=> (~(v90(constB49, bitIndex0) | v90(constB49, bitIndex2) | (~v90(constB49, bitIndex1))))) <=> (v121(constB49) <=> (~(v90(constB49, bitIndex2) | (~v90(constB49, bitIndex1)) | v90(constB49, bitIndex0))))),
% 13.81/9.06 inference(rewrite,[status(thm)],[])).
% 13.81/9.06 tff(2737,plain,
% 13.81/9.06 (((~![VarCurr: $i] : (v121(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex1)))))) | (v121(constB49) <=> (~(v90(constB49, bitIndex0) | v90(constB49, bitIndex2) | (~v90(constB49, bitIndex1)))))) <=> ((~![VarCurr: $i] : (v121(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex1)))))) | (v121(constB49) <=> (~(v90(constB49, bitIndex2) | (~v90(constB49, bitIndex1)) | v90(constB49, bitIndex0)))))),
% 13.81/9.06 inference(monotonicity,[status(thm)],[2736])).
% 13.81/9.06 tff(2738,plain,
% 13.81/9.06 (((~![VarCurr: $i] : (v121(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex1)))))) | (v121(constB49) <=> (~(v90(constB49, bitIndex0) | v90(constB49, bitIndex2) | (~v90(constB49, bitIndex1)))))) <=> ((~![VarCurr: $i] : (v121(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex1)))))) | (v121(constB49) <=> (~(v90(constB49, bitIndex2) | (~v90(constB49, bitIndex1)) | v90(constB49, bitIndex0)))))),
% 13.81/9.06 inference(transitivity,[status(thm)],[2737, 2735])).
% 13.81/9.06 tff(2739,plain,
% 13.81/9.06 ((~![VarCurr: $i] : (v121(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex1)))))) | (v121(constB49) <=> (~(v90(constB49, bitIndex0) | v90(constB49, bitIndex2) | (~v90(constB49, bitIndex1)))))),
% 13.81/9.06 inference(quant_inst,[status(thm)],[])).
% 13.81/9.06 tff(2740,plain,
% 13.81/9.06 ((~![VarCurr: $i] : (v121(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex1)))))) | (v121(constB49) <=> (~(v90(constB49, bitIndex2) | (~v90(constB49, bitIndex1)) | v90(constB49, bitIndex0))))),
% 13.81/9.06 inference(modus_ponens,[status(thm)],[2739, 2738])).
% 13.81/9.06 tff(2741,plain,
% 13.81/9.06 (v121(constB49) <=> (~(v90(constB49, bitIndex2) | (~v90(constB49, bitIndex1)) | v90(constB49, bitIndex0)))),
% 13.81/9.06 inference(unit_resolution,[status(thm)],[2740, 849])).
% 13.81/9.06 tff(2742,plain,
% 13.81/9.06 (nextState(constB48, constB49) <=> nextState(constB48, constB49)),
% 13.81/9.06 inference(rewrite,[status(thm)],[])).
% 13.81/9.06 tff(2743,axiom,(nextState(constB48, constB49)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_48')).
% 13.81/9.06 tff(2744,plain,
% 13.81/9.06 (nextState(constB48, constB49)),
% 13.81/9.06 inference(modus_ponens,[status(thm)],[2743, 2742])).
% 13.81/9.06 tff(2745,plain,
% 13.81/9.06 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB48, constB49)) | (v100(constB49) <=> (~((~v101(constB49)) | (~v110(constB49))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB48, constB49)) | (v100(constB49) <=> (~((~v101(constB49)) | (~v110(constB49))))))),
% 13.81/9.06 inference(rewrite,[status(thm)],[])).
% 13.81/9.06 tff(2746,plain,
% 13.81/9.06 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB48, constB49)) | (v100(constB49) <=> (~((~v101(constB49)) | (~v110(constB49))))))),
% 13.81/9.06 inference(quant_inst,[status(thm)],[])).
% 13.81/9.06 tff(2747,plain,
% 13.81/9.06 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB48, constB49)) | (v100(constB49) <=> (~((~v101(constB49)) | (~v110(constB49)))))),
% 13.81/9.06 inference(modus_ponens,[status(thm)],[2746, 2745])).
% 13.81/9.06 tff(2748,plain,
% 13.81/9.06 (v100(constB49) <=> (~((~v101(constB49)) | (~v110(constB49))))),
% 13.81/9.06 inference(unit_resolution,[status(thm)],[2747, 2744, 430])).
% 13.81/9.06 tff(2749,plain,
% 13.81/9.06 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB48, constB49)) | (v101(constB49) <=> (~((~v1(constB49)) | (~v102(constB49))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB48, constB49)) | (v101(constB49) <=> (~((~v1(constB49)) | (~v102(constB49))))))),
% 13.81/9.06 inference(rewrite,[status(thm)],[])).
% 13.81/9.06 tff(2750,plain,
% 13.81/9.06 (((~nextState(constB48, constB49)) | (v101(constB49) <=> (~((~v102(constB49)) | (~v1(constB49)))))) <=> ((~nextState(constB48, constB49)) | (v101(constB49) <=> (~((~v1(constB49)) | (~v102(constB49))))))),
% 13.81/9.06 inference(rewrite,[status(thm)],[])).
% 13.81/9.06 tff(2751,plain,
% 13.81/9.06 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB48, constB49)) | (v101(constB49) <=> (~((~v102(constB49)) | (~v1(constB49))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB48, constB49)) | (v101(constB49) <=> (~((~v1(constB49)) | (~v102(constB49)))))))),
% 13.81/9.06 inference(monotonicity,[status(thm)],[2750])).
% 13.81/9.06 tff(2752,plain,
% 13.81/9.06 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB48, constB49)) | (v101(constB49) <=> (~((~v102(constB49)) | (~v1(constB49))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB48, constB49)) | (v101(constB49) <=> (~((~v1(constB49)) | (~v102(constB49))))))),
% 13.81/9.06 inference(transitivity,[status(thm)],[2751, 2749])).
% 13.81/9.06 tff(2753,plain,
% 13.81/9.06 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB48, constB49)) | (v101(constB49) <=> (~((~v102(constB49)) | (~v1(constB49))))))),
% 13.81/9.06 inference(quant_inst,[status(thm)],[])).
% 13.81/9.06 tff(2754,plain,
% 13.81/9.06 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB48, constB49)) | (v101(constB49) <=> (~((~v1(constB49)) | (~v102(constB49)))))),
% 13.81/9.06 inference(modus_ponens,[status(thm)],[2753, 2752])).
% 13.81/9.06 tff(2755,plain,
% 13.81/9.06 (v101(constB49) <=> (~((~v1(constB49)) | (~v102(constB49))))),
% 13.81/9.06 inference(unit_resolution,[status(thm)],[2754, 2744, 450])).
% 13.81/9.06 tff(2756,plain,
% 13.81/9.06 (((~v1(constB49)) | (~v102(constB49))) | v1(constB49)),
% 13.81/9.06 inference(tautology,[status(thm)],[])).
% 13.81/9.06 tff(2757,plain,
% 13.81/9.06 ((~v1(constB49)) | (~v102(constB49))),
% 13.81/9.06 inference(unit_resolution,[status(thm)],[2756, 2703])).
% 13.81/9.06 tff(2758,plain,
% 13.81/9.06 ((~(v101(constB49) <=> (~((~v1(constB49)) | (~v102(constB49)))))) | (~v101(constB49)) | (~((~v1(constB49)) | (~v102(constB49))))),
% 13.81/9.06 inference(tautology,[status(thm)],[])).
% 13.81/9.06 tff(2759,plain,
% 13.81/9.06 ((~(v101(constB49) <=> (~((~v1(constB49)) | (~v102(constB49)))))) | (~v101(constB49))),
% 13.81/9.06 inference(unit_resolution,[status(thm)],[2758, 2757])).
% 13.81/9.06 tff(2760,plain,
% 13.81/9.06 (~v101(constB49)),
% 13.81/9.06 inference(unit_resolution,[status(thm)],[2759, 2755])).
% 13.81/9.06 tff(2761,plain,
% 13.81/9.06 (((~v101(constB49)) | (~v110(constB49))) | v101(constB49)),
% 13.81/9.06 inference(tautology,[status(thm)],[])).
% 13.81/9.06 tff(2762,plain,
% 13.81/9.06 ((~v101(constB49)) | (~v110(constB49))),
% 13.81/9.06 inference(unit_resolution,[status(thm)],[2761, 2760])).
% 13.81/9.06 tff(2763,plain,
% 13.81/9.06 ((~(v100(constB49) <=> (~((~v101(constB49)) | (~v110(constB49)))))) | (~v100(constB49)) | (~((~v101(constB49)) | (~v110(constB49))))),
% 13.81/9.06 inference(tautology,[status(thm)],[])).
% 13.81/9.06 tff(2764,plain,
% 13.81/9.06 (~v100(constB49)),
% 13.81/9.06 inference(unit_resolution,[status(thm)],[2763, 2762, 2748])).
% 13.81/9.06 tff(2765,plain,
% 13.81/9.06 (((~![VarCurr: $i, VarNext: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v90(VarCurr, B))))) | (v100(constB49) | (~nextState(constB48, constB49)) | ![B: $i] : ((~less_3(B)) | (v90(constB49, B) <=> v90(constB48, B))))) <=> ((~![VarCurr: $i, VarNext: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v90(VarCurr, B))))) | v100(constB49) | (~nextState(constB48, constB49)) | ![B: $i] : ((~less_3(B)) | (v90(constB49, B) <=> v90(constB48, B))))),
% 13.81/9.06 inference(rewrite,[status(thm)],[])).
% 13.81/9.06 tff(2766,plain,
% 13.81/9.06 ((~![VarCurr: $i, VarNext: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v90(VarCurr, B))))) | (v100(constB49) | (~nextState(constB48, constB49)) | ![B: $i] : ((~less_3(B)) | (v90(constB49, B) <=> v90(constB48, B))))),
% 13.81/9.06 inference(quant_inst,[status(thm)],[])).
% 13.81/9.06 tff(2767,plain,
% 13.81/9.06 ((~![VarCurr: $i, VarNext: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v90(VarCurr, B))))) | v100(constB49) | (~nextState(constB48, constB49)) | ![B: $i] : ((~less_3(B)) | (v90(constB49, B) <=> v90(constB48, B)))),
% 13.81/9.06 inference(modus_ponens,[status(thm)],[2766, 2765])).
% 13.81/9.06 tff(2768,plain,
% 13.81/9.06 (v100(constB49) | ![B: $i] : ((~less_3(B)) | (v90(constB49, B) <=> v90(constB48, B)))),
% 13.81/9.06 inference(unit_resolution,[status(thm)],[2767, 2744, 479])).
% 13.81/9.06 tff(2769,plain,
% 13.81/9.06 (![B: $i] : ((~less_3(B)) | (v90(constB49, B) <=> v90(constB48, B)))),
% 13.81/9.06 inference(unit_resolution,[status(thm)],[2768, 2764])).
% 13.81/9.06 tff(2770,plain,
% 13.81/9.06 (((~![B: $i] : ((~less_3(B)) | (v90(constB49, B) <=> v90(constB48, B)))) | ((~less_3(bitIndex2)) | (v90(constB49, bitIndex2) <=> v90(constB48, bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v90(constB49, B) <=> v90(constB48, B)))) | (~less_3(bitIndex2)) | (v90(constB49, bitIndex2) <=> v90(constB48, bitIndex2)))),
% 13.81/9.06 inference(rewrite,[status(thm)],[])).
% 13.81/9.06 tff(2771,plain,
% 13.81/9.06 ((~![B: $i] : ((~less_3(B)) | (v90(constB49, B) <=> v90(constB48, B)))) | ((~less_3(bitIndex2)) | (v90(constB49, bitIndex2) <=> v90(constB48, bitIndex2)))),
% 13.81/9.06 inference(quant_inst,[status(thm)],[])).
% 13.81/9.06 tff(2772,plain,
% 13.81/9.06 ((~![B: $i] : ((~less_3(B)) | (v90(constB49, B) <=> v90(constB48, B)))) | (~less_3(bitIndex2)) | (v90(constB49, bitIndex2) <=> v90(constB48, bitIndex2))),
% 13.81/9.06 inference(modus_ponens,[status(thm)],[2771, 2770])).
% 13.81/9.06 tff(2773,plain,
% 13.81/9.06 (v90(constB49, bitIndex2) <=> v90(constB48, bitIndex2)),
% 13.81/9.06 inference(unit_resolution,[status(thm)],[2772, 413, 2769])).
% 13.81/9.06 tff(2774,plain,
% 13.81/9.06 (nextState(constB47, constB48) <=> nextState(constB47, constB48)),
% 13.81/9.06 inference(rewrite,[status(thm)],[])).
% 13.81/9.06 tff(2775,axiom,(nextState(constB47, constB48)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_47')).
% 13.81/9.06 tff(2776,plain,
% 13.81/9.06 (nextState(constB47, constB48)),
% 13.81/9.06 inference(modus_ponens,[status(thm)],[2775, 2774])).
% 13.81/9.06 tff(2777,plain,
% 13.81/9.06 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB47, constB48)) | (v100(constB48) <=> (~((~v101(constB48)) | (~v110(constB48))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB47, constB48)) | (v100(constB48) <=> (~((~v101(constB48)) | (~v110(constB48))))))),
% 13.81/9.06 inference(rewrite,[status(thm)],[])).
% 13.81/9.06 tff(2778,plain,
% 13.81/9.06 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB47, constB48)) | (v100(constB48) <=> (~((~v101(constB48)) | (~v110(constB48))))))),
% 13.81/9.06 inference(quant_inst,[status(thm)],[])).
% 13.81/9.06 tff(2779,plain,
% 13.81/9.06 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB47, constB48)) | (v100(constB48) <=> (~((~v101(constB48)) | (~v110(constB48)))))),
% 13.81/9.06 inference(modus_ponens,[status(thm)],[2778, 2777])).
% 13.81/9.06 tff(2780,plain,
% 13.81/9.06 (v100(constB48) <=> (~((~v101(constB48)) | (~v110(constB48))))),
% 13.81/9.06 inference(unit_resolution,[status(thm)],[2779, 2776, 430])).
% 13.81/9.06 tff(2781,plain,
% 13.81/9.06 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB47, constB48)) | (v101(constB48) <=> (~((~v1(constB48)) | (~v102(constB48))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB47, constB48)) | (v101(constB48) <=> (~((~v1(constB48)) | (~v102(constB48))))))),
% 13.81/9.06 inference(rewrite,[status(thm)],[])).
% 13.81/9.06 tff(2782,plain,
% 13.81/9.06 (((~nextState(constB47, constB48)) | (v101(constB48) <=> (~((~v102(constB48)) | (~v1(constB48)))))) <=> ((~nextState(constB47, constB48)) | (v101(constB48) <=> (~((~v1(constB48)) | (~v102(constB48))))))),
% 13.81/9.06 inference(rewrite,[status(thm)],[])).
% 13.81/9.06 tff(2783,plain,
% 13.81/9.06 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB47, constB48)) | (v101(constB48) <=> (~((~v102(constB48)) | (~v1(constB48))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB47, constB48)) | (v101(constB48) <=> (~((~v1(constB48)) | (~v102(constB48)))))))),
% 13.81/9.06 inference(monotonicity,[status(thm)],[2782])).
% 13.81/9.06 tff(2784,plain,
% 13.81/9.06 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB47, constB48)) | (v101(constB48) <=> (~((~v102(constB48)) | (~v1(constB48))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB47, constB48)) | (v101(constB48) <=> (~((~v1(constB48)) | (~v102(constB48))))))),
% 13.81/9.06 inference(transitivity,[status(thm)],[2783, 2781])).
% 13.81/9.06 tff(2785,plain,
% 13.81/9.06 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB47, constB48)) | (v101(constB48) <=> (~((~v102(constB48)) | (~v1(constB48))))))),
% 13.81/9.06 inference(quant_inst,[status(thm)],[])).
% 13.81/9.06 tff(2786,plain,
% 13.81/9.06 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB47, constB48)) | (v101(constB48) <=> (~((~v1(constB48)) | (~v102(constB48)))))),
% 13.81/9.06 inference(modus_ponens,[status(thm)],[2785, 2784])).
% 13.81/9.06 tff(2787,plain,
% 13.81/9.06 (v101(constB48) <=> (~((~v1(constB48)) | (~v102(constB48))))),
% 13.81/9.06 inference(unit_resolution,[status(thm)],[2786, 2776, 450])).
% 13.81/9.06 tff(2788,plain,
% 13.81/9.06 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | ((~nextState(constB47, constB48)) | ((~v102(constB48)) <=> v104(constB48)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | (~nextState(constB47, constB48)) | ((~v102(constB48)) <=> v104(constB48)))),
% 13.81/9.07 inference(rewrite,[status(thm)],[])).
% 13.81/9.07 tff(2789,plain,
% 13.81/9.07 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | ((~nextState(constB47, constB48)) | ((~v102(constB48)) <=> v104(constB48)))),
% 13.81/9.07 inference(quant_inst,[status(thm)],[])).
% 13.81/9.07 tff(2790,plain,
% 13.81/9.07 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | (~nextState(constB47, constB48)) | ((~v102(constB48)) <=> v104(constB48))),
% 13.81/9.07 inference(modus_ponens,[status(thm)],[2789, 2788])).
% 13.81/9.07 tff(2791,plain,
% 13.81/9.07 ((~v102(constB48)) <=> v104(constB48)),
% 13.81/9.07 inference(unit_resolution,[status(thm)],[2790, 2776, 512])).
% 13.81/9.07 tff(2792,plain,
% 13.81/9.07 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB47, constB48)) | (v104(constB48) <=> v1(constB47)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | (~nextState(constB47, constB48)) | (v104(constB48) <=> v1(constB47)))),
% 13.81/9.07 inference(rewrite,[status(thm)],[])).
% 13.81/9.07 tff(2793,plain,
% 13.81/9.07 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB47, constB48)) | (v104(constB48) <=> v1(constB47)))),
% 13.81/9.07 inference(quant_inst,[status(thm)],[])).
% 13.81/9.07 tff(2794,plain,
% 13.81/9.07 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | (~nextState(constB47, constB48)) | (v104(constB48) <=> v1(constB47))),
% 13.81/9.07 inference(modus_ponens,[status(thm)],[2793, 2792])).
% 13.81/9.07 tff(2795,plain,
% 13.81/9.07 (v104(constB48) <=> v1(constB47)),
% 13.81/9.07 inference(unit_resolution,[status(thm)],[2794, 2776, 526])).
% 13.81/9.07 tff(2796,plain,
% 13.81/9.07 ((~v1(constB47)) <=> (~v1(constB47))),
% 13.81/9.07 inference(rewrite,[status(thm)],[])).
% 13.81/9.07 tff(2797,axiom,(~v1(constB47)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_47')).
% 13.81/9.07 tff(2798,plain,
% 13.81/9.07 (~v1(constB47)),
% 13.81/9.07 inference(modus_ponens,[status(thm)],[2797, 2796])).
% 13.81/9.07 tff(2799,plain,
% 13.81/9.07 ((~(v104(constB48) <=> v1(constB47))) | (~v104(constB48)) | v1(constB47)),
% 13.81/9.07 inference(tautology,[status(thm)],[])).
% 13.81/9.07 tff(2800,plain,
% 13.81/9.07 ((~(v104(constB48) <=> v1(constB47))) | (~v104(constB48))),
% 13.81/9.07 inference(unit_resolution,[status(thm)],[2799, 2798])).
% 13.81/9.07 tff(2801,plain,
% 13.81/9.07 (~v104(constB48)),
% 13.81/9.07 inference(unit_resolution,[status(thm)],[2800, 2795])).
% 13.81/9.07 tff(2802,plain,
% 13.81/9.07 ((~((~v102(constB48)) <=> v104(constB48))) | v102(constB48) | v104(constB48)),
% 13.81/9.07 inference(tautology,[status(thm)],[])).
% 13.81/9.07 tff(2803,plain,
% 13.81/9.07 (v102(constB48)),
% 13.81/9.07 inference(unit_resolution,[status(thm)],[2802, 2801, 2791])).
% 13.81/9.07 tff(2804,plain,
% 13.81/9.07 (v1(constB48) <=> v1(constB48)),
% 13.81/9.07 inference(rewrite,[status(thm)],[])).
% 13.81/9.07 tff(2805,axiom,(v1(constB48)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_48')).
% 13.81/9.07 tff(2806,plain,
% 13.81/9.07 (v1(constB48)),
% 13.81/9.07 inference(modus_ponens,[status(thm)],[2805, 2804])).
% 13.81/9.07 tff(2807,plain,
% 13.81/9.07 ((~((~v1(constB48)) | (~v102(constB48)))) | (~v1(constB48)) | (~v102(constB48))),
% 13.81/9.07 inference(tautology,[status(thm)],[])).
% 13.81/9.07 tff(2808,plain,
% 13.81/9.07 ((~((~v1(constB48)) | (~v102(constB48)))) | (~v102(constB48))),
% 13.81/9.07 inference(unit_resolution,[status(thm)],[2807, 2806])).
% 13.81/9.07 tff(2809,plain,
% 13.81/9.07 (~((~v1(constB48)) | (~v102(constB48)))),
% 13.81/9.07 inference(unit_resolution,[status(thm)],[2808, 2803])).
% 13.81/9.07 tff(2810,plain,
% 13.81/9.07 ((~(v101(constB48) <=> (~((~v1(constB48)) | (~v102(constB48)))))) | v101(constB48) | ((~v1(constB48)) | (~v102(constB48)))),
% 13.81/9.07 inference(tautology,[status(thm)],[])).
% 13.81/9.07 tff(2811,plain,
% 13.81/9.07 (v101(constB48)),
% 13.81/9.07 inference(unit_resolution,[status(thm)],[2810, 2809, 2787])).
% 13.81/9.07 tff(2812,plain,
% 13.81/9.07 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | ((~nextState(constB47, constB48)) | (v110(constB48) <=> v108(constB47)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | (~nextState(constB47, constB48)) | (v110(constB48) <=> v108(constB47)))),
% 13.81/9.07 inference(rewrite,[status(thm)],[])).
% 13.81/9.07 tff(2813,plain,
% 13.81/9.07 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | ((~nextState(constB47, constB48)) | (v110(constB48) <=> v108(constB47)))),
% 13.81/9.07 inference(quant_inst,[status(thm)],[])).
% 13.81/9.07 tff(2814,plain,
% 13.81/9.07 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | (~nextState(constB47, constB48)) | (v110(constB48) <=> v108(constB47))),
% 13.81/9.07 inference(modus_ponens,[status(thm)],[2813, 2812])).
% 13.81/9.07 tff(2815,plain,
% 13.81/9.07 (v110(constB48) <=> v108(constB47)),
% 13.81/9.07 inference(unit_resolution,[status(thm)],[2814, 2776, 556])).
% 13.81/9.07 tff(2816,plain,
% 13.81/9.07 ((~![VarCurr: $i] : (v108(VarCurr) <=> (v111(VarCurr) | v112(VarCurr)))) | (v108(constB47) <=> (v111(constB47) | v112(constB47)))),
% 13.81/9.07 inference(quant_inst,[status(thm)],[])).
% 13.81/9.07 tff(2817,plain,
% 13.81/9.07 (v108(constB47) <=> (v111(constB47) | v112(constB47))),
% 13.81/9.07 inference(unit_resolution,[status(thm)],[2816, 567])).
% 13.81/9.07 tff(2818,plain,
% 13.81/9.07 ((~![VarCurr: $i] : (v112(VarCurr) <=> (~((~v113(VarCurr)) | (~v126(VarCurr)))))) | (v112(constB47) <=> (~((~v113(constB47)) | (~v126(constB47)))))),
% 13.81/9.07 inference(quant_inst,[status(thm)],[])).
% 13.81/9.07 tff(2819,plain,
% 13.81/9.07 (v112(constB47) <=> (~((~v113(constB47)) | (~v126(constB47))))),
% 13.81/9.07 inference(unit_resolution,[status(thm)],[2818, 579])).
% 13.81/9.07 tff(2820,plain,
% 13.81/9.07 ((~![VarCurr: $i] : (v113(VarCurr) <=> (v114(VarCurr) | v125(VarCurr)))) | (v113(constB47) <=> (v114(constB47) | v125(constB47)))),
% 13.81/9.07 inference(quant_inst,[status(thm)],[])).
% 13.81/9.07 tff(2821,plain,
% 13.81/9.07 (v113(constB47) <=> (v114(constB47) | v125(constB47))),
% 13.81/9.07 inference(unit_resolution,[status(thm)],[2820, 588])).
% 13.81/9.07 tff(2822,plain,
% 13.81/9.07 ((~![VarCurr: $i] : (v114(VarCurr) <=> (v115(VarCurr) | v124(VarCurr)))) | (v114(constB47) <=> (v115(constB47) | v124(constB47)))),
% 13.81/9.07 inference(quant_inst,[status(thm)],[])).
% 13.81/9.07 tff(2823,plain,
% 13.81/9.07 (v114(constB47) <=> (v115(constB47) | v124(constB47))),
% 13.81/9.07 inference(unit_resolution,[status(thm)],[2822, 597])).
% 13.81/9.07 tff(2824,plain,
% 13.81/9.07 ((~![VarCurr: $i] : (v115(VarCurr) <=> (v116(VarCurr) | v123(VarCurr)))) | (v115(constB47) <=> (v116(constB47) | v123(constB47)))),
% 13.81/9.07 inference(quant_inst,[status(thm)],[])).
% 13.81/9.07 tff(2825,plain,
% 13.81/9.07 (v115(constB47) <=> (v116(constB47) | v123(constB47))),
% 13.81/9.07 inference(unit_resolution,[status(thm)],[2824, 606])).
% 13.81/9.07 tff(2826,plain,
% 13.81/9.07 ((~![VarCurr: $i] : (v116(VarCurr) <=> (v117(VarCurr) | v122(VarCurr)))) | (v116(constB47) <=> (v117(constB47) | v122(constB47)))),
% 13.81/9.07 inference(quant_inst,[status(thm)],[])).
% 13.81/9.07 tff(2827,plain,
% 13.81/9.07 (v116(constB47) <=> (v117(constB47) | v122(constB47))),
% 13.81/9.07 inference(unit_resolution,[status(thm)],[2826, 719])).
% 13.81/9.07 tff(2828,plain,
% 13.81/9.07 ((~![VarCurr: $i] : (v117(VarCurr) <=> (v118(VarCurr) | v121(VarCurr)))) | (v117(constB47) <=> (v118(constB47) | v121(constB47)))),
% 13.81/9.07 inference(quant_inst,[status(thm)],[])).
% 13.81/9.07 tff(2829,plain,
% 13.81/9.07 (v117(constB47) <=> (v118(constB47) | v121(constB47))),
% 13.81/9.07 inference(unit_resolution,[status(thm)],[2828, 834])).
% 13.81/9.07 tff(2830,plain,
% 13.81/9.07 ((~![VarCurr: $i] : (v118(VarCurr) <=> (v119(VarCurr) | v120(VarCurr)))) | (v118(constB47) <=> (v119(constB47) | v120(constB47)))),
% 13.81/9.07 inference(quant_inst,[status(thm)],[])).
% 13.81/9.07 tff(2831,plain,
% 13.81/9.07 (v118(constB47) <=> (v119(constB47) | v120(constB47))),
% 13.81/9.07 inference(unit_resolution,[status(thm)],[2830, 951])).
% 13.81/9.07 tff(2832,plain,
% 13.81/9.07 (((~![VarCurr: $i] : (v120(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)))))) | (v120(constB47) <=> (~(v90(constB47, bitIndex2) | v90(constB47, bitIndex1) | (~v90(constB47, bitIndex0)))))) <=> ((~![VarCurr: $i] : (v120(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)))))) | (v120(constB47) <=> (~(v90(constB47, bitIndex2) | v90(constB47, bitIndex1) | (~v90(constB47, bitIndex0))))))),
% 13.81/9.07 inference(rewrite,[status(thm)],[])).
% 13.81/9.07 tff(2833,plain,
% 13.81/9.07 ((v120(constB47) <=> (~(v90(constB47, bitIndex1) | v90(constB47, bitIndex2) | (~v90(constB47, bitIndex0))))) <=> (v120(constB47) <=> (~(v90(constB47, bitIndex2) | v90(constB47, bitIndex1) | (~v90(constB47, bitIndex0)))))),
% 13.81/9.07 inference(rewrite,[status(thm)],[])).
% 13.81/9.07 tff(2834,plain,
% 13.81/9.07 (((~![VarCurr: $i] : (v120(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)))))) | (v120(constB47) <=> (~(v90(constB47, bitIndex1) | v90(constB47, bitIndex2) | (~v90(constB47, bitIndex0)))))) <=> ((~![VarCurr: $i] : (v120(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)))))) | (v120(constB47) <=> (~(v90(constB47, bitIndex2) | v90(constB47, bitIndex1) | (~v90(constB47, bitIndex0))))))),
% 13.81/9.07 inference(monotonicity,[status(thm)],[2833])).
% 13.81/9.07 tff(2835,plain,
% 13.81/9.07 (((~![VarCurr: $i] : (v120(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)))))) | (v120(constB47) <=> (~(v90(constB47, bitIndex1) | v90(constB47, bitIndex2) | (~v90(constB47, bitIndex0)))))) <=> ((~![VarCurr: $i] : (v120(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)))))) | (v120(constB47) <=> (~(v90(constB47, bitIndex2) | v90(constB47, bitIndex1) | (~v90(constB47, bitIndex0))))))),
% 13.81/9.07 inference(transitivity,[status(thm)],[2834, 2832])).
% 13.81/9.07 tff(2836,plain,
% 13.81/9.07 ((~![VarCurr: $i] : (v120(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)))))) | (v120(constB47) <=> (~(v90(constB47, bitIndex1) | v90(constB47, bitIndex2) | (~v90(constB47, bitIndex0)))))),
% 13.81/9.07 inference(quant_inst,[status(thm)],[])).
% 13.81/9.07 tff(2837,plain,
% 13.81/9.07 ((~![VarCurr: $i] : (v120(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)))))) | (v120(constB47) <=> (~(v90(constB47, bitIndex2) | v90(constB47, bitIndex1) | (~v90(constB47, bitIndex0)))))),
% 13.81/9.07 inference(modus_ponens,[status(thm)],[2836, 2835])).
% 13.81/9.07 tff(2838,plain,
% 13.81/9.07 (v120(constB47) <=> (~(v90(constB47, bitIndex2) | v90(constB47, bitIndex1) | (~v90(constB47, bitIndex0))))),
% 13.81/9.07 inference(unit_resolution,[status(thm)],[2837, 966])).
% 13.81/9.07 tff(2839,plain,
% 13.81/9.07 (nextState(constB46, constB47) <=> nextState(constB46, constB47)),
% 13.81/9.07 inference(rewrite,[status(thm)],[])).
% 13.81/9.07 tff(2840,axiom,(nextState(constB46, constB47)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_46')).
% 13.81/9.07 tff(2841,plain,
% 13.81/9.07 (nextState(constB46, constB47)),
% 13.81/9.07 inference(modus_ponens,[status(thm)],[2840, 2839])).
% 13.81/9.07 tff(2842,plain,
% 13.81/9.07 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB46, constB47)) | (v100(constB47) <=> (~((~v101(constB47)) | (~v110(constB47))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB46, constB47)) | (v100(constB47) <=> (~((~v101(constB47)) | (~v110(constB47))))))),
% 13.81/9.07 inference(rewrite,[status(thm)],[])).
% 13.81/9.07 tff(2843,plain,
% 13.81/9.07 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB46, constB47)) | (v100(constB47) <=> (~((~v101(constB47)) | (~v110(constB47))))))),
% 13.81/9.07 inference(quant_inst,[status(thm)],[])).
% 13.81/9.07 tff(2844,plain,
% 13.81/9.07 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB46, constB47)) | (v100(constB47) <=> (~((~v101(constB47)) | (~v110(constB47)))))),
% 13.81/9.07 inference(modus_ponens,[status(thm)],[2843, 2842])).
% 13.81/9.07 tff(2845,plain,
% 13.81/9.07 (v100(constB47) <=> (~((~v101(constB47)) | (~v110(constB47))))),
% 13.81/9.07 inference(unit_resolution,[status(thm)],[2844, 2841, 430])).
% 13.81/9.07 tff(2846,plain,
% 13.81/9.07 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB46, constB47)) | (v101(constB47) <=> (~((~v1(constB47)) | (~v102(constB47))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB46, constB47)) | (v101(constB47) <=> (~((~v1(constB47)) | (~v102(constB47))))))),
% 13.81/9.07 inference(rewrite,[status(thm)],[])).
% 13.81/9.07 tff(2847,plain,
% 13.81/9.07 (((~nextState(constB46, constB47)) | (v101(constB47) <=> (~((~v102(constB47)) | (~v1(constB47)))))) <=> ((~nextState(constB46, constB47)) | (v101(constB47) <=> (~((~v1(constB47)) | (~v102(constB47))))))),
% 13.81/9.07 inference(rewrite,[status(thm)],[])).
% 13.81/9.07 tff(2848,plain,
% 13.81/9.07 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB46, constB47)) | (v101(constB47) <=> (~((~v102(constB47)) | (~v1(constB47))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB46, constB47)) | (v101(constB47) <=> (~((~v1(constB47)) | (~v102(constB47)))))))),
% 13.81/9.07 inference(monotonicity,[status(thm)],[2847])).
% 13.81/9.07 tff(2849,plain,
% 13.81/9.07 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB46, constB47)) | (v101(constB47) <=> (~((~v102(constB47)) | (~v1(constB47))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB46, constB47)) | (v101(constB47) <=> (~((~v1(constB47)) | (~v102(constB47))))))),
% 13.81/9.07 inference(transitivity,[status(thm)],[2848, 2846])).
% 13.81/9.07 tff(2850,plain,
% 13.81/9.07 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB46, constB47)) | (v101(constB47) <=> (~((~v102(constB47)) | (~v1(constB47))))))),
% 13.81/9.07 inference(quant_inst,[status(thm)],[])).
% 13.81/9.07 tff(2851,plain,
% 13.81/9.07 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB46, constB47)) | (v101(constB47) <=> (~((~v1(constB47)) | (~v102(constB47)))))),
% 13.81/9.07 inference(modus_ponens,[status(thm)],[2850, 2849])).
% 13.81/9.07 tff(2852,plain,
% 13.81/9.07 (v101(constB47) <=> (~((~v1(constB47)) | (~v102(constB47))))),
% 13.81/9.07 inference(unit_resolution,[status(thm)],[2851, 2841, 450])).
% 13.81/9.07 tff(2853,plain,
% 13.81/9.07 (((~v1(constB47)) | (~v102(constB47))) | v1(constB47)),
% 13.81/9.07 inference(tautology,[status(thm)],[])).
% 13.81/9.07 tff(2854,plain,
% 13.81/9.07 ((~v1(constB47)) | (~v102(constB47))),
% 13.81/9.07 inference(unit_resolution,[status(thm)],[2853, 2798])).
% 13.81/9.07 tff(2855,plain,
% 13.81/9.07 ((~(v101(constB47) <=> (~((~v1(constB47)) | (~v102(constB47)))))) | (~v101(constB47)) | (~((~v1(constB47)) | (~v102(constB47))))),
% 13.81/9.07 inference(tautology,[status(thm)],[])).
% 13.81/9.07 tff(2856,plain,
% 13.81/9.07 ((~(v101(constB47) <=> (~((~v1(constB47)) | (~v102(constB47)))))) | (~v101(constB47))),
% 13.81/9.07 inference(unit_resolution,[status(thm)],[2855, 2854])).
% 13.81/9.07 tff(2857,plain,
% 13.81/9.07 (~v101(constB47)),
% 13.81/9.07 inference(unit_resolution,[status(thm)],[2856, 2852])).
% 13.81/9.07 tff(2858,plain,
% 13.81/9.07 (((~v101(constB47)) | (~v110(constB47))) | v101(constB47)),
% 13.81/9.07 inference(tautology,[status(thm)],[])).
% 13.81/9.07 tff(2859,plain,
% 13.81/9.07 ((~v101(constB47)) | (~v110(constB47))),
% 13.81/9.07 inference(unit_resolution,[status(thm)],[2858, 2857])).
% 13.81/9.07 tff(2860,plain,
% 13.81/9.07 ((~(v100(constB47) <=> (~((~v101(constB47)) | (~v110(constB47)))))) | (~v100(constB47)) | (~((~v101(constB47)) | (~v110(constB47))))),
% 13.81/9.07 inference(tautology,[status(thm)],[])).
% 13.81/9.07 tff(2861,plain,
% 13.81/9.07 (~v100(constB47)),
% 13.81/9.07 inference(unit_resolution,[status(thm)],[2860, 2859, 2845])).
% 13.81/9.07 tff(2862,plain,
% 13.81/9.07 (((~![VarCurr: $i, VarNext: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v90(VarCurr, B))))) | (v100(constB47) | (~nextState(constB46, constB47)) | ![B: $i] : ((~less_3(B)) | (v90(constB47, B) <=> v90(constB46, B))))) <=> ((~![VarCurr: $i, VarNext: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v90(VarCurr, B))))) | v100(constB47) | (~nextState(constB46, constB47)) | ![B: $i] : ((~less_3(B)) | (v90(constB47, B) <=> v90(constB46, B))))),
% 13.81/9.07 inference(rewrite,[status(thm)],[])).
% 13.81/9.07 tff(2863,plain,
% 13.81/9.07 ((~![VarCurr: $i, VarNext: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v90(VarCurr, B))))) | (v100(constB47) | (~nextState(constB46, constB47)) | ![B: $i] : ((~less_3(B)) | (v90(constB47, B) <=> v90(constB46, B))))),
% 13.81/9.08 inference(quant_inst,[status(thm)],[])).
% 13.81/9.08 tff(2864,plain,
% 13.81/9.08 ((~![VarCurr: $i, VarNext: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v90(VarCurr, B))))) | v100(constB47) | (~nextState(constB46, constB47)) | ![B: $i] : ((~less_3(B)) | (v90(constB47, B) <=> v90(constB46, B)))),
% 13.81/9.08 inference(modus_ponens,[status(thm)],[2863, 2862])).
% 13.81/9.08 tff(2865,plain,
% 13.81/9.08 (v100(constB47) | ![B: $i] : ((~less_3(B)) | (v90(constB47, B) <=> v90(constB46, B)))),
% 13.81/9.08 inference(unit_resolution,[status(thm)],[2864, 2841, 479])).
% 13.81/9.08 tff(2866,plain,
% 13.81/9.08 (![B: $i] : ((~less_3(B)) | (v90(constB47, B) <=> v90(constB46, B)))),
% 13.81/9.08 inference(unit_resolution,[status(thm)],[2865, 2861])).
% 13.81/9.08 tff(2867,plain,
% 13.81/9.08 (((~![B: $i] : ((~less_3(B)) | (v90(constB47, B) <=> v90(constB46, B)))) | ((~less_3(bitIndex2)) | (v90(constB47, bitIndex2) <=> v90(constB46, bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v90(constB47, B) <=> v90(constB46, B)))) | (~less_3(bitIndex2)) | (v90(constB47, bitIndex2) <=> v90(constB46, bitIndex2)))),
% 13.81/9.08 inference(rewrite,[status(thm)],[])).
% 13.81/9.08 tff(2868,plain,
% 13.81/9.08 ((~![B: $i] : ((~less_3(B)) | (v90(constB47, B) <=> v90(constB46, B)))) | ((~less_3(bitIndex2)) | (v90(constB47, bitIndex2) <=> v90(constB46, bitIndex2)))),
% 13.81/9.08 inference(quant_inst,[status(thm)],[])).
% 13.81/9.08 tff(2869,plain,
% 13.81/9.08 ((~![B: $i] : ((~less_3(B)) | (v90(constB47, B) <=> v90(constB46, B)))) | (~less_3(bitIndex2)) | (v90(constB47, bitIndex2) <=> v90(constB46, bitIndex2))),
% 13.81/9.08 inference(modus_ponens,[status(thm)],[2868, 2867])).
% 13.81/9.08 tff(2870,plain,
% 13.81/9.08 (v90(constB47, bitIndex2) <=> v90(constB46, bitIndex2)),
% 13.81/9.08 inference(unit_resolution,[status(thm)],[2869, 413, 2866])).
% 13.81/9.08 tff(2871,plain,
% 13.81/9.08 (nextState(constB45, constB46) <=> nextState(constB45, constB46)),
% 13.81/9.08 inference(rewrite,[status(thm)],[])).
% 13.81/9.08 tff(2872,axiom,(nextState(constB45, constB46)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_45')).
% 13.81/9.08 tff(2873,plain,
% 13.81/9.08 (nextState(constB45, constB46)),
% 13.81/9.08 inference(modus_ponens,[status(thm)],[2872, 2871])).
% 13.81/9.08 tff(2874,plain,
% 13.81/9.08 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB45, constB46)) | (v100(constB46) <=> (~((~v101(constB46)) | (~v110(constB46))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB45, constB46)) | (v100(constB46) <=> (~((~v101(constB46)) | (~v110(constB46))))))),
% 13.81/9.08 inference(rewrite,[status(thm)],[])).
% 13.81/9.08 tff(2875,plain,
% 13.81/9.08 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB45, constB46)) | (v100(constB46) <=> (~((~v101(constB46)) | (~v110(constB46))))))),
% 13.81/9.08 inference(quant_inst,[status(thm)],[])).
% 13.81/9.08 tff(2876,plain,
% 13.81/9.08 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB45, constB46)) | (v100(constB46) <=> (~((~v101(constB46)) | (~v110(constB46)))))),
% 13.81/9.08 inference(modus_ponens,[status(thm)],[2875, 2874])).
% 13.81/9.08 tff(2877,plain,
% 13.81/9.08 (v100(constB46) <=> (~((~v101(constB46)) | (~v110(constB46))))),
% 13.81/9.08 inference(unit_resolution,[status(thm)],[2876, 2873, 430])).
% 13.81/9.08 tff(2878,plain,
% 13.81/9.08 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB45, constB46)) | (v101(constB46) <=> (~((~v1(constB46)) | (~v102(constB46))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB45, constB46)) | (v101(constB46) <=> (~((~v1(constB46)) | (~v102(constB46))))))),
% 13.81/9.08 inference(rewrite,[status(thm)],[])).
% 13.81/9.08 tff(2879,plain,
% 13.81/9.08 (((~nextState(constB45, constB46)) | (v101(constB46) <=> (~((~v102(constB46)) | (~v1(constB46)))))) <=> ((~nextState(constB45, constB46)) | (v101(constB46) <=> (~((~v1(constB46)) | (~v102(constB46))))))),
% 13.81/9.08 inference(rewrite,[status(thm)],[])).
% 13.81/9.08 tff(2880,plain,
% 13.81/9.08 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB45, constB46)) | (v101(constB46) <=> (~((~v102(constB46)) | (~v1(constB46))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB45, constB46)) | (v101(constB46) <=> (~((~v1(constB46)) | (~v102(constB46)))))))),
% 13.81/9.08 inference(monotonicity,[status(thm)],[2879])).
% 13.81/9.08 tff(2881,plain,
% 13.81/9.08 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB45, constB46)) | (v101(constB46) <=> (~((~v102(constB46)) | (~v1(constB46))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB45, constB46)) | (v101(constB46) <=> (~((~v1(constB46)) | (~v102(constB46))))))),
% 13.81/9.08 inference(transitivity,[status(thm)],[2880, 2878])).
% 13.81/9.08 tff(2882,plain,
% 13.81/9.08 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB45, constB46)) | (v101(constB46) <=> (~((~v102(constB46)) | (~v1(constB46))))))),
% 13.81/9.08 inference(quant_inst,[status(thm)],[])).
% 13.81/9.08 tff(2883,plain,
% 13.81/9.08 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB45, constB46)) | (v101(constB46) <=> (~((~v1(constB46)) | (~v102(constB46)))))),
% 13.81/9.08 inference(modus_ponens,[status(thm)],[2882, 2881])).
% 13.81/9.08 tff(2884,plain,
% 13.81/9.08 (v101(constB46) <=> (~((~v1(constB46)) | (~v102(constB46))))),
% 13.81/9.08 inference(unit_resolution,[status(thm)],[2883, 2873, 450])).
% 13.81/9.08 tff(2885,plain,
% 13.81/9.08 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | ((~nextState(constB45, constB46)) | ((~v102(constB46)) <=> v104(constB46)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | (~nextState(constB45, constB46)) | ((~v102(constB46)) <=> v104(constB46)))),
% 13.81/9.08 inference(rewrite,[status(thm)],[])).
% 13.81/9.08 tff(2886,plain,
% 13.81/9.08 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | ((~nextState(constB45, constB46)) | ((~v102(constB46)) <=> v104(constB46)))),
% 13.81/9.08 inference(quant_inst,[status(thm)],[])).
% 13.81/9.08 tff(2887,plain,
% 13.81/9.08 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | (~nextState(constB45, constB46)) | ((~v102(constB46)) <=> v104(constB46))),
% 13.81/9.08 inference(modus_ponens,[status(thm)],[2886, 2885])).
% 13.81/9.08 tff(2888,plain,
% 13.81/9.08 ((~v102(constB46)) <=> v104(constB46)),
% 13.81/9.08 inference(unit_resolution,[status(thm)],[2887, 2873, 512])).
% 13.81/9.08 tff(2889,plain,
% 13.81/9.08 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB45, constB46)) | (v104(constB46) <=> v1(constB45)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | (~nextState(constB45, constB46)) | (v104(constB46) <=> v1(constB45)))),
% 13.81/9.08 inference(rewrite,[status(thm)],[])).
% 13.81/9.08 tff(2890,plain,
% 13.81/9.08 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB45, constB46)) | (v104(constB46) <=> v1(constB45)))),
% 13.81/9.08 inference(quant_inst,[status(thm)],[])).
% 13.81/9.08 tff(2891,plain,
% 13.81/9.08 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | (~nextState(constB45, constB46)) | (v104(constB46) <=> v1(constB45))),
% 13.81/9.08 inference(modus_ponens,[status(thm)],[2890, 2889])).
% 13.81/9.08 tff(2892,plain,
% 13.81/9.08 (v104(constB46) <=> v1(constB45)),
% 13.81/9.08 inference(unit_resolution,[status(thm)],[2891, 2873, 526])).
% 13.81/9.08 tff(2893,plain,
% 13.81/9.08 ((~v1(constB45)) <=> (~v1(constB45))),
% 13.81/9.08 inference(rewrite,[status(thm)],[])).
% 13.81/9.08 tff(2894,axiom,(~v1(constB45)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_45')).
% 13.81/9.08 tff(2895,plain,
% 13.81/9.08 (~v1(constB45)),
% 13.81/9.08 inference(modus_ponens,[status(thm)],[2894, 2893])).
% 13.81/9.08 tff(2896,plain,
% 13.81/9.08 ((~(v104(constB46) <=> v1(constB45))) | (~v104(constB46)) | v1(constB45)),
% 13.81/9.08 inference(tautology,[status(thm)],[])).
% 13.81/9.08 tff(2897,plain,
% 13.81/9.08 ((~(v104(constB46) <=> v1(constB45))) | (~v104(constB46))),
% 13.81/9.08 inference(unit_resolution,[status(thm)],[2896, 2895])).
% 13.81/9.08 tff(2898,plain,
% 13.81/9.08 (~v104(constB46)),
% 13.81/9.08 inference(unit_resolution,[status(thm)],[2897, 2892])).
% 13.81/9.08 tff(2899,plain,
% 13.81/9.08 ((~((~v102(constB46)) <=> v104(constB46))) | v102(constB46) | v104(constB46)),
% 13.81/9.08 inference(tautology,[status(thm)],[])).
% 13.81/9.08 tff(2900,plain,
% 13.81/9.08 (v102(constB46)),
% 13.81/9.08 inference(unit_resolution,[status(thm)],[2899, 2898, 2888])).
% 13.81/9.08 tff(2901,plain,
% 13.81/9.08 (v1(constB46) <=> v1(constB46)),
% 13.81/9.08 inference(rewrite,[status(thm)],[])).
% 13.81/9.08 tff(2902,axiom,(v1(constB46)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_46')).
% 13.81/9.08 tff(2903,plain,
% 13.81/9.08 (v1(constB46)),
% 13.81/9.08 inference(modus_ponens,[status(thm)],[2902, 2901])).
% 13.81/9.08 tff(2904,plain,
% 13.81/9.08 ((~((~v1(constB46)) | (~v102(constB46)))) | (~v1(constB46)) | (~v102(constB46))),
% 13.81/9.08 inference(tautology,[status(thm)],[])).
% 13.81/9.08 tff(2905,plain,
% 13.81/9.08 ((~((~v1(constB46)) | (~v102(constB46)))) | (~v102(constB46))),
% 13.81/9.08 inference(unit_resolution,[status(thm)],[2904, 2903])).
% 13.81/9.08 tff(2906,plain,
% 13.81/9.08 (~((~v1(constB46)) | (~v102(constB46)))),
% 13.81/9.08 inference(unit_resolution,[status(thm)],[2905, 2900])).
% 13.81/9.08 tff(2907,plain,
% 13.81/9.08 ((~(v101(constB46) <=> (~((~v1(constB46)) | (~v102(constB46)))))) | v101(constB46) | ((~v1(constB46)) | (~v102(constB46)))),
% 13.81/9.08 inference(tautology,[status(thm)],[])).
% 13.81/9.08 tff(2908,plain,
% 13.81/9.08 (v101(constB46)),
% 13.81/9.08 inference(unit_resolution,[status(thm)],[2907, 2906, 2884])).
% 13.81/9.08 tff(2909,plain,
% 13.81/9.08 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | ((~nextState(constB45, constB46)) | (v110(constB46) <=> v108(constB45)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | (~nextState(constB45, constB46)) | (v110(constB46) <=> v108(constB45)))),
% 13.81/9.08 inference(rewrite,[status(thm)],[])).
% 13.81/9.08 tff(2910,plain,
% 13.81/9.08 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | ((~nextState(constB45, constB46)) | (v110(constB46) <=> v108(constB45)))),
% 13.81/9.08 inference(quant_inst,[status(thm)],[])).
% 13.81/9.08 tff(2911,plain,
% 13.81/9.08 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | (~nextState(constB45, constB46)) | (v110(constB46) <=> v108(constB45))),
% 13.81/9.08 inference(modus_ponens,[status(thm)],[2910, 2909])).
% 13.81/9.08 tff(2912,plain,
% 13.81/9.08 (v110(constB46) <=> v108(constB45)),
% 13.81/9.08 inference(unit_resolution,[status(thm)],[2911, 2873, 556])).
% 13.81/9.08 tff(2913,plain,
% 13.81/9.08 ((~![VarCurr: $i] : (v108(VarCurr) <=> (v111(VarCurr) | v112(VarCurr)))) | (v108(constB45) <=> (v111(constB45) | v112(constB45)))),
% 13.81/9.08 inference(quant_inst,[status(thm)],[])).
% 13.81/9.08 tff(2914,plain,
% 13.81/9.08 (v108(constB45) <=> (v111(constB45) | v112(constB45))),
% 13.81/9.08 inference(unit_resolution,[status(thm)],[2913, 567])).
% 13.81/9.08 tff(2915,plain,
% 13.81/9.08 ((~![VarCurr: $i] : (v112(VarCurr) <=> (~((~v113(VarCurr)) | (~v126(VarCurr)))))) | (v112(constB45) <=> (~((~v113(constB45)) | (~v126(constB45)))))),
% 13.81/9.08 inference(quant_inst,[status(thm)],[])).
% 13.81/9.08 tff(2916,plain,
% 13.81/9.08 (v112(constB45) <=> (~((~v113(constB45)) | (~v126(constB45))))),
% 13.81/9.08 inference(unit_resolution,[status(thm)],[2915, 579])).
% 13.81/9.08 tff(2917,plain,
% 13.81/9.08 ((~![VarCurr: $i] : (v113(VarCurr) <=> (v114(VarCurr) | v125(VarCurr)))) | (v113(constB45) <=> (v114(constB45) | v125(constB45)))),
% 13.81/9.08 inference(quant_inst,[status(thm)],[])).
% 13.81/9.08 tff(2918,plain,
% 13.81/9.08 (v113(constB45) <=> (v114(constB45) | v125(constB45))),
% 13.81/9.08 inference(unit_resolution,[status(thm)],[2917, 588])).
% 13.81/9.08 tff(2919,plain,
% 13.81/9.08 (((~![VarCurr: $i] : (v125(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2)))))) | (v125(constB45) <=> (~((~v90(constB45, bitIndex2)) | (~v90(constB45, bitIndex1)) | v90(constB45, bitIndex0))))) <=> ((~![VarCurr: $i] : (v125(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2)))))) | (v125(constB45) <=> (~((~v90(constB45, bitIndex2)) | (~v90(constB45, bitIndex1)) | v90(constB45, bitIndex0)))))),
% 13.81/9.08 inference(rewrite,[status(thm)],[])).
% 13.81/9.08 tff(2920,plain,
% 13.81/9.08 ((v125(constB45) <=> (~(v90(constB45, bitIndex0) | (~v90(constB45, bitIndex1)) | (~v90(constB45, bitIndex2))))) <=> (v125(constB45) <=> (~((~v90(constB45, bitIndex2)) | (~v90(constB45, bitIndex1)) | v90(constB45, bitIndex0))))),
% 13.81/9.08 inference(rewrite,[status(thm)],[])).
% 13.81/9.08 tff(2921,plain,
% 13.81/9.08 (((~![VarCurr: $i] : (v125(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2)))))) | (v125(constB45) <=> (~(v90(constB45, bitIndex0) | (~v90(constB45, bitIndex1)) | (~v90(constB45, bitIndex2)))))) <=> ((~![VarCurr: $i] : (v125(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2)))))) | (v125(constB45) <=> (~((~v90(constB45, bitIndex2)) | (~v90(constB45, bitIndex1)) | v90(constB45, bitIndex0)))))),
% 13.81/9.08 inference(monotonicity,[status(thm)],[2920])).
% 13.81/9.08 tff(2922,plain,
% 13.81/9.08 (((~![VarCurr: $i] : (v125(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2)))))) | (v125(constB45) <=> (~(v90(constB45, bitIndex0) | (~v90(constB45, bitIndex1)) | (~v90(constB45, bitIndex2)))))) <=> ((~![VarCurr: $i] : (v125(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2)))))) | (v125(constB45) <=> (~((~v90(constB45, bitIndex2)) | (~v90(constB45, bitIndex1)) | v90(constB45, bitIndex0)))))),
% 13.81/9.08 inference(transitivity,[status(thm)],[2921, 2919])).
% 13.81/9.08 tff(2923,plain,
% 13.81/9.08 ((~![VarCurr: $i] : (v125(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2)))))) | (v125(constB45) <=> (~(v90(constB45, bitIndex0) | (~v90(constB45, bitIndex1)) | (~v90(constB45, bitIndex2)))))),
% 13.81/9.08 inference(quant_inst,[status(thm)],[])).
% 13.81/9.08 tff(2924,plain,
% 13.81/9.08 ((~![VarCurr: $i] : (v125(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2)))))) | (v125(constB45) <=> (~((~v90(constB45, bitIndex2)) | (~v90(constB45, bitIndex1)) | v90(constB45, bitIndex0))))),
% 13.81/9.08 inference(modus_ponens,[status(thm)],[2923, 2922])).
% 13.81/9.08 tff(2925,plain,
% 13.81/9.08 (v125(constB45) <=> (~((~v90(constB45, bitIndex2)) | (~v90(constB45, bitIndex1)) | v90(constB45, bitIndex0)))),
% 13.81/9.08 inference(unit_resolution,[status(thm)],[2924, 1066])).
% 13.81/9.08 tff(2926,plain,
% 13.81/9.08 (nextState(constB44, constB45) <=> nextState(constB44, constB45)),
% 13.81/9.08 inference(rewrite,[status(thm)],[])).
% 13.81/9.08 tff(2927,axiom,(nextState(constB44, constB45)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_44')).
% 13.81/9.08 tff(2928,plain,
% 13.81/9.08 (nextState(constB44, constB45)),
% 13.81/9.08 inference(modus_ponens,[status(thm)],[2927, 2926])).
% 13.81/9.08 tff(2929,plain,
% 13.81/9.08 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB44, constB45)) | (v100(constB45) <=> (~((~v101(constB45)) | (~v110(constB45))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB44, constB45)) | (v100(constB45) <=> (~((~v101(constB45)) | (~v110(constB45))))))),
% 13.81/9.08 inference(rewrite,[status(thm)],[])).
% 13.81/9.08 tff(2930,plain,
% 13.81/9.08 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB44, constB45)) | (v100(constB45) <=> (~((~v101(constB45)) | (~v110(constB45))))))),
% 13.81/9.08 inference(quant_inst,[status(thm)],[])).
% 13.81/9.08 tff(2931,plain,
% 13.81/9.08 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB44, constB45)) | (v100(constB45) <=> (~((~v101(constB45)) | (~v110(constB45)))))),
% 13.81/9.09 inference(modus_ponens,[status(thm)],[2930, 2929])).
% 13.81/9.09 tff(2932,plain,
% 13.81/9.09 (v100(constB45) <=> (~((~v101(constB45)) | (~v110(constB45))))),
% 13.81/9.09 inference(unit_resolution,[status(thm)],[2931, 2928, 430])).
% 13.81/9.09 tff(2933,plain,
% 13.81/9.09 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB44, constB45)) | (v101(constB45) <=> (~((~v1(constB45)) | (~v102(constB45))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB44, constB45)) | (v101(constB45) <=> (~((~v1(constB45)) | (~v102(constB45))))))),
% 13.81/9.09 inference(rewrite,[status(thm)],[])).
% 13.81/9.09 tff(2934,plain,
% 13.81/9.09 (((~nextState(constB44, constB45)) | (v101(constB45) <=> (~((~v102(constB45)) | (~v1(constB45)))))) <=> ((~nextState(constB44, constB45)) | (v101(constB45) <=> (~((~v1(constB45)) | (~v102(constB45))))))),
% 13.81/9.09 inference(rewrite,[status(thm)],[])).
% 13.81/9.09 tff(2935,plain,
% 13.81/9.09 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB44, constB45)) | (v101(constB45) <=> (~((~v102(constB45)) | (~v1(constB45))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB44, constB45)) | (v101(constB45) <=> (~((~v1(constB45)) | (~v102(constB45)))))))),
% 13.81/9.09 inference(monotonicity,[status(thm)],[2934])).
% 13.81/9.09 tff(2936,plain,
% 13.81/9.09 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB44, constB45)) | (v101(constB45) <=> (~((~v102(constB45)) | (~v1(constB45))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB44, constB45)) | (v101(constB45) <=> (~((~v1(constB45)) | (~v102(constB45))))))),
% 13.81/9.09 inference(transitivity,[status(thm)],[2935, 2933])).
% 13.81/9.09 tff(2937,plain,
% 13.81/9.09 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB44, constB45)) | (v101(constB45) <=> (~((~v102(constB45)) | (~v1(constB45))))))),
% 13.81/9.09 inference(quant_inst,[status(thm)],[])).
% 13.81/9.09 tff(2938,plain,
% 13.81/9.09 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB44, constB45)) | (v101(constB45) <=> (~((~v1(constB45)) | (~v102(constB45)))))),
% 13.81/9.09 inference(modus_ponens,[status(thm)],[2937, 2936])).
% 13.81/9.09 tff(2939,plain,
% 13.81/9.09 (v101(constB45) <=> (~((~v1(constB45)) | (~v102(constB45))))),
% 13.81/9.09 inference(unit_resolution,[status(thm)],[2938, 2928, 450])).
% 13.81/9.09 tff(2940,plain,
% 13.81/9.09 (((~v1(constB45)) | (~v102(constB45))) | v1(constB45)),
% 13.81/9.09 inference(tautology,[status(thm)],[])).
% 13.81/9.09 tff(2941,plain,
% 13.81/9.09 ((~v1(constB45)) | (~v102(constB45))),
% 13.81/9.09 inference(unit_resolution,[status(thm)],[2940, 2895])).
% 13.81/9.09 tff(2942,plain,
% 13.81/9.09 ((~(v101(constB45) <=> (~((~v1(constB45)) | (~v102(constB45)))))) | (~v101(constB45)) | (~((~v1(constB45)) | (~v102(constB45))))),
% 13.81/9.09 inference(tautology,[status(thm)],[])).
% 13.81/9.09 tff(2943,plain,
% 13.81/9.09 ((~(v101(constB45) <=> (~((~v1(constB45)) | (~v102(constB45)))))) | (~v101(constB45))),
% 13.81/9.09 inference(unit_resolution,[status(thm)],[2942, 2941])).
% 13.81/9.09 tff(2944,plain,
% 13.81/9.09 (~v101(constB45)),
% 13.81/9.09 inference(unit_resolution,[status(thm)],[2943, 2939])).
% 13.81/9.09 tff(2945,plain,
% 13.81/9.09 (((~v101(constB45)) | (~v110(constB45))) | v101(constB45)),
% 13.81/9.09 inference(tautology,[status(thm)],[])).
% 13.81/9.09 tff(2946,plain,
% 13.81/9.09 ((~v101(constB45)) | (~v110(constB45))),
% 13.81/9.09 inference(unit_resolution,[status(thm)],[2945, 2944])).
% 13.81/9.09 tff(2947,plain,
% 13.81/9.09 ((~(v100(constB45) <=> (~((~v101(constB45)) | (~v110(constB45)))))) | (~v100(constB45)) | (~((~v101(constB45)) | (~v110(constB45))))),
% 13.81/9.09 inference(tautology,[status(thm)],[])).
% 13.81/9.09 tff(2948,plain,
% 13.81/9.09 (~v100(constB45)),
% 13.81/9.09 inference(unit_resolution,[status(thm)],[2947, 2946, 2932])).
% 13.81/9.09 tff(2949,plain,
% 13.81/9.09 (((~![VarCurr: $i, VarNext: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v90(VarCurr, B))))) | (v100(constB45) | (~nextState(constB44, constB45)) | ![B: $i] : ((~less_3(B)) | (v90(constB45, B) <=> v90(constB44, B))))) <=> ((~![VarCurr: $i, VarNext: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v90(VarCurr, B))))) | v100(constB45) | (~nextState(constB44, constB45)) | ![B: $i] : ((~less_3(B)) | (v90(constB45, B) <=> v90(constB44, B))))),
% 13.81/9.09 inference(rewrite,[status(thm)],[])).
% 13.81/9.09 tff(2950,plain,
% 13.81/9.09 ((~![VarCurr: $i, VarNext: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v90(VarCurr, B))))) | (v100(constB45) | (~nextState(constB44, constB45)) | ![B: $i] : ((~less_3(B)) | (v90(constB45, B) <=> v90(constB44, B))))),
% 13.81/9.09 inference(quant_inst,[status(thm)],[])).
% 13.81/9.09 tff(2951,plain,
% 13.81/9.09 ((~![VarCurr: $i, VarNext: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v90(VarCurr, B))))) | v100(constB45) | (~nextState(constB44, constB45)) | ![B: $i] : ((~less_3(B)) | (v90(constB45, B) <=> v90(constB44, B)))),
% 13.81/9.09 inference(modus_ponens,[status(thm)],[2950, 2949])).
% 13.81/9.09 tff(2952,plain,
% 13.81/9.09 (v100(constB45) | ![B: $i] : ((~less_3(B)) | (v90(constB45, B) <=> v90(constB44, B)))),
% 13.81/9.09 inference(unit_resolution,[status(thm)],[2951, 2928, 479])).
% 13.81/9.09 tff(2953,plain,
% 13.81/9.09 (![B: $i] : ((~less_3(B)) | (v90(constB45, B) <=> v90(constB44, B)))),
% 13.81/9.09 inference(unit_resolution,[status(thm)],[2952, 2948])).
% 13.81/9.09 tff(2954,plain,
% 13.81/9.09 (((~![B: $i] : ((~less_3(B)) | (v90(constB45, B) <=> v90(constB44, B)))) | ((~less_3(bitIndex2)) | (v90(constB45, bitIndex2) <=> v90(constB44, bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v90(constB45, B) <=> v90(constB44, B)))) | (~less_3(bitIndex2)) | (v90(constB45, bitIndex2) <=> v90(constB44, bitIndex2)))),
% 13.81/9.09 inference(rewrite,[status(thm)],[])).
% 13.81/9.09 tff(2955,plain,
% 13.81/9.09 ((~![B: $i] : ((~less_3(B)) | (v90(constB45, B) <=> v90(constB44, B)))) | ((~less_3(bitIndex2)) | (v90(constB45, bitIndex2) <=> v90(constB44, bitIndex2)))),
% 13.81/9.09 inference(quant_inst,[status(thm)],[])).
% 13.81/9.09 tff(2956,plain,
% 13.81/9.09 ((~![B: $i] : ((~less_3(B)) | (v90(constB45, B) <=> v90(constB44, B)))) | (~less_3(bitIndex2)) | (v90(constB45, bitIndex2) <=> v90(constB44, bitIndex2))),
% 13.81/9.09 inference(modus_ponens,[status(thm)],[2955, 2954])).
% 13.81/9.09 tff(2957,plain,
% 13.81/9.09 (v90(constB45, bitIndex2) <=> v90(constB44, bitIndex2)),
% 13.81/9.09 inference(unit_resolution,[status(thm)],[2956, 413, 2953])).
% 13.81/9.09 tff(2958,plain,
% 13.81/9.09 (nextState(constB43, constB44) <=> nextState(constB43, constB44)),
% 13.81/9.09 inference(rewrite,[status(thm)],[])).
% 13.81/9.09 tff(2959,axiom,(nextState(constB43, constB44)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_43')).
% 13.81/9.09 tff(2960,plain,
% 13.81/9.09 (nextState(constB43, constB44)),
% 13.81/9.09 inference(modus_ponens,[status(thm)],[2959, 2958])).
% 13.81/9.09 tff(2961,plain,
% 13.81/9.09 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB43, constB44)) | (v100(constB44) <=> (~((~v101(constB44)) | (~v110(constB44))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB43, constB44)) | (v100(constB44) <=> (~((~v101(constB44)) | (~v110(constB44))))))),
% 13.81/9.09 inference(rewrite,[status(thm)],[])).
% 13.81/9.09 tff(2962,plain,
% 13.81/9.09 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB43, constB44)) | (v100(constB44) <=> (~((~v101(constB44)) | (~v110(constB44))))))),
% 13.81/9.09 inference(quant_inst,[status(thm)],[])).
% 13.81/9.09 tff(2963,plain,
% 13.81/9.09 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB43, constB44)) | (v100(constB44) <=> (~((~v101(constB44)) | (~v110(constB44)))))),
% 13.81/9.09 inference(modus_ponens,[status(thm)],[2962, 2961])).
% 13.81/9.09 tff(2964,plain,
% 13.81/9.09 (v100(constB44) <=> (~((~v101(constB44)) | (~v110(constB44))))),
% 13.81/9.09 inference(unit_resolution,[status(thm)],[2963, 2960, 430])).
% 13.81/9.09 tff(2965,plain,
% 13.81/9.09 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB43, constB44)) | (v101(constB44) <=> (~((~v1(constB44)) | (~v102(constB44))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB43, constB44)) | (v101(constB44) <=> (~((~v1(constB44)) | (~v102(constB44))))))),
% 13.81/9.09 inference(rewrite,[status(thm)],[])).
% 13.81/9.09 tff(2966,plain,
% 13.81/9.09 (((~nextState(constB43, constB44)) | (v101(constB44) <=> (~((~v102(constB44)) | (~v1(constB44)))))) <=> ((~nextState(constB43, constB44)) | (v101(constB44) <=> (~((~v1(constB44)) | (~v102(constB44))))))),
% 13.81/9.09 inference(rewrite,[status(thm)],[])).
% 13.81/9.09 tff(2967,plain,
% 13.81/9.09 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB43, constB44)) | (v101(constB44) <=> (~((~v102(constB44)) | (~v1(constB44))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB43, constB44)) | (v101(constB44) <=> (~((~v1(constB44)) | (~v102(constB44)))))))),
% 13.81/9.09 inference(monotonicity,[status(thm)],[2966])).
% 13.81/9.09 tff(2968,plain,
% 13.81/9.09 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB43, constB44)) | (v101(constB44) <=> (~((~v102(constB44)) | (~v1(constB44))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB43, constB44)) | (v101(constB44) <=> (~((~v1(constB44)) | (~v102(constB44))))))),
% 13.81/9.09 inference(transitivity,[status(thm)],[2967, 2965])).
% 13.81/9.09 tff(2969,plain,
% 13.81/9.09 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB43, constB44)) | (v101(constB44) <=> (~((~v102(constB44)) | (~v1(constB44))))))),
% 13.81/9.09 inference(quant_inst,[status(thm)],[])).
% 13.81/9.09 tff(2970,plain,
% 13.81/9.09 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB43, constB44)) | (v101(constB44) <=> (~((~v1(constB44)) | (~v102(constB44)))))),
% 13.81/9.09 inference(modus_ponens,[status(thm)],[2969, 2968])).
% 13.81/9.09 tff(2971,plain,
% 13.81/9.09 (v101(constB44) <=> (~((~v1(constB44)) | (~v102(constB44))))),
% 13.81/9.09 inference(unit_resolution,[status(thm)],[2970, 2960, 450])).
% 13.81/9.09 tff(2972,plain,
% 13.81/9.09 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | ((~nextState(constB43, constB44)) | ((~v102(constB44)) <=> v104(constB44)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | (~nextState(constB43, constB44)) | ((~v102(constB44)) <=> v104(constB44)))),
% 13.81/9.09 inference(rewrite,[status(thm)],[])).
% 13.81/9.09 tff(2973,plain,
% 13.81/9.09 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | ((~nextState(constB43, constB44)) | ((~v102(constB44)) <=> v104(constB44)))),
% 13.81/9.09 inference(quant_inst,[status(thm)],[])).
% 13.81/9.09 tff(2974,plain,
% 13.81/9.09 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | (~nextState(constB43, constB44)) | ((~v102(constB44)) <=> v104(constB44))),
% 13.81/9.09 inference(modus_ponens,[status(thm)],[2973, 2972])).
% 13.81/9.09 tff(2975,plain,
% 13.81/9.09 ((~v102(constB44)) <=> v104(constB44)),
% 13.81/9.09 inference(unit_resolution,[status(thm)],[2974, 2960, 512])).
% 13.81/9.09 tff(2976,plain,
% 13.81/9.09 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB43, constB44)) | (v104(constB44) <=> v1(constB43)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | (~nextState(constB43, constB44)) | (v104(constB44) <=> v1(constB43)))),
% 13.81/9.09 inference(rewrite,[status(thm)],[])).
% 13.81/9.09 tff(2977,plain,
% 13.81/9.09 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB43, constB44)) | (v104(constB44) <=> v1(constB43)))),
% 13.81/9.09 inference(quant_inst,[status(thm)],[])).
% 13.81/9.09 tff(2978,plain,
% 13.81/9.09 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | (~nextState(constB43, constB44)) | (v104(constB44) <=> v1(constB43))),
% 13.81/9.09 inference(modus_ponens,[status(thm)],[2977, 2976])).
% 13.81/9.09 tff(2979,plain,
% 13.81/9.09 (v104(constB44) <=> v1(constB43)),
% 13.81/9.09 inference(unit_resolution,[status(thm)],[2978, 2960, 526])).
% 13.81/9.09 tff(2980,plain,
% 13.81/9.09 ((~v1(constB43)) <=> (~v1(constB43))),
% 13.81/9.09 inference(rewrite,[status(thm)],[])).
% 13.81/9.09 tff(2981,axiom,(~v1(constB43)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_43')).
% 13.81/9.09 tff(2982,plain,
% 13.81/9.09 (~v1(constB43)),
% 13.81/9.09 inference(modus_ponens,[status(thm)],[2981, 2980])).
% 13.81/9.09 tff(2983,plain,
% 13.81/9.09 ((~(v104(constB44) <=> v1(constB43))) | (~v104(constB44)) | v1(constB43)),
% 13.81/9.09 inference(tautology,[status(thm)],[])).
% 13.81/9.09 tff(2984,plain,
% 13.81/9.09 ((~(v104(constB44) <=> v1(constB43))) | (~v104(constB44))),
% 13.81/9.09 inference(unit_resolution,[status(thm)],[2983, 2982])).
% 13.81/9.09 tff(2985,plain,
% 13.81/9.09 (~v104(constB44)),
% 13.81/9.09 inference(unit_resolution,[status(thm)],[2984, 2979])).
% 13.81/9.09 tff(2986,plain,
% 13.81/9.09 ((~((~v102(constB44)) <=> v104(constB44))) | v102(constB44) | v104(constB44)),
% 13.81/9.09 inference(tautology,[status(thm)],[])).
% 13.81/9.09 tff(2987,plain,
% 13.81/9.09 (v102(constB44)),
% 13.81/9.09 inference(unit_resolution,[status(thm)],[2986, 2985, 2975])).
% 13.81/9.09 tff(2988,plain,
% 13.81/9.09 (v1(constB44) <=> v1(constB44)),
% 13.81/9.09 inference(rewrite,[status(thm)],[])).
% 13.81/9.09 tff(2989,axiom,(v1(constB44)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_44')).
% 13.81/9.09 tff(2990,plain,
% 13.81/9.09 (v1(constB44)),
% 13.81/9.09 inference(modus_ponens,[status(thm)],[2989, 2988])).
% 13.81/9.09 tff(2991,plain,
% 13.81/9.09 ((~((~v1(constB44)) | (~v102(constB44)))) | (~v1(constB44)) | (~v102(constB44))),
% 13.81/9.09 inference(tautology,[status(thm)],[])).
% 13.81/9.09 tff(2992,plain,
% 13.81/9.09 ((~((~v1(constB44)) | (~v102(constB44)))) | (~v102(constB44))),
% 13.81/9.09 inference(unit_resolution,[status(thm)],[2991, 2990])).
% 13.81/9.09 tff(2993,plain,
% 13.81/9.09 (~((~v1(constB44)) | (~v102(constB44)))),
% 13.81/9.09 inference(unit_resolution,[status(thm)],[2992, 2987])).
% 13.81/9.09 tff(2994,plain,
% 13.81/9.09 ((~(v101(constB44) <=> (~((~v1(constB44)) | (~v102(constB44)))))) | v101(constB44) | ((~v1(constB44)) | (~v102(constB44)))),
% 13.81/9.09 inference(tautology,[status(thm)],[])).
% 13.81/9.09 tff(2995,plain,
% 13.81/9.09 (v101(constB44)),
% 13.81/9.09 inference(unit_resolution,[status(thm)],[2994, 2993, 2971])).
% 13.81/9.09 tff(2996,plain,
% 13.81/9.09 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | ((~nextState(constB43, constB44)) | (v110(constB44) <=> v108(constB43)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | (~nextState(constB43, constB44)) | (v110(constB44) <=> v108(constB43)))),
% 13.81/9.09 inference(rewrite,[status(thm)],[])).
% 13.81/9.09 tff(2997,plain,
% 13.81/9.09 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | ((~nextState(constB43, constB44)) | (v110(constB44) <=> v108(constB43)))),
% 13.81/9.09 inference(quant_inst,[status(thm)],[])).
% 13.81/9.09 tff(2998,plain,
% 13.81/9.09 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | (~nextState(constB43, constB44)) | (v110(constB44) <=> v108(constB43))),
% 13.81/9.09 inference(modus_ponens,[status(thm)],[2997, 2996])).
% 13.81/9.09 tff(2999,plain,
% 13.81/9.09 (v110(constB44) <=> v108(constB43)),
% 13.81/9.09 inference(unit_resolution,[status(thm)],[2998, 2960, 556])).
% 13.81/9.09 tff(3000,plain,
% 13.81/9.09 ((~![VarCurr: $i] : (v108(VarCurr) <=> (v111(VarCurr) | v112(VarCurr)))) | (v108(constB43) <=> (v111(constB43) | v112(constB43)))),
% 13.81/9.10 inference(quant_inst,[status(thm)],[])).
% 13.81/9.10 tff(3001,plain,
% 13.81/9.10 (v108(constB43) <=> (v111(constB43) | v112(constB43))),
% 13.81/9.10 inference(unit_resolution,[status(thm)],[3000, 567])).
% 13.81/9.10 tff(3002,plain,
% 13.81/9.10 ((~![VarCurr: $i] : (v112(VarCurr) <=> (~((~v113(VarCurr)) | (~v126(VarCurr)))))) | (v112(constB43) <=> (~((~v113(constB43)) | (~v126(constB43)))))),
% 13.81/9.10 inference(quant_inst,[status(thm)],[])).
% 13.81/9.10 tff(3003,plain,
% 13.81/9.10 (v112(constB43) <=> (~((~v113(constB43)) | (~v126(constB43))))),
% 13.81/9.10 inference(unit_resolution,[status(thm)],[3002, 579])).
% 13.81/9.10 tff(3004,plain,
% 13.81/9.10 ((~![VarCurr: $i] : (v113(VarCurr) <=> (v114(VarCurr) | v125(VarCurr)))) | (v113(constB43) <=> (v114(constB43) | v125(constB43)))),
% 13.81/9.10 inference(quant_inst,[status(thm)],[])).
% 13.81/9.10 tff(3005,plain,
% 13.81/9.10 (v113(constB43) <=> (v114(constB43) | v125(constB43))),
% 13.81/9.10 inference(unit_resolution,[status(thm)],[3004, 588])).
% 13.81/9.10 tff(3006,plain,
% 13.81/9.10 ((~![VarCurr: $i] : (v114(VarCurr) <=> (v115(VarCurr) | v124(VarCurr)))) | (v114(constB43) <=> (v115(constB43) | v124(constB43)))),
% 13.81/9.10 inference(quant_inst,[status(thm)],[])).
% 13.81/9.10 tff(3007,plain,
% 13.81/9.10 (v114(constB43) <=> (v115(constB43) | v124(constB43))),
% 13.81/9.10 inference(unit_resolution,[status(thm)],[3006, 597])).
% 13.81/9.10 tff(3008,plain,
% 13.81/9.10 ((~![VarCurr: $i] : (v115(VarCurr) <=> (v116(VarCurr) | v123(VarCurr)))) | (v115(constB43) <=> (v116(constB43) | v123(constB43)))),
% 13.81/9.10 inference(quant_inst,[status(thm)],[])).
% 13.81/9.10 tff(3009,plain,
% 13.81/9.10 (v115(constB43) <=> (v116(constB43) | v123(constB43))),
% 13.81/9.10 inference(unit_resolution,[status(thm)],[3008, 606])).
% 13.81/9.10 tff(3010,plain,
% 13.81/9.10 (((~![VarCurr: $i] : (v123(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)))))) | (v123(constB43) <=> (~((~v90(constB43, bitIndex2)) | v90(constB43, bitIndex1) | v90(constB43, bitIndex0))))) <=> ((~![VarCurr: $i] : (v123(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)))))) | (v123(constB43) <=> (~((~v90(constB43, bitIndex2)) | v90(constB43, bitIndex1) | v90(constB43, bitIndex0)))))),
% 13.81/9.10 inference(rewrite,[status(thm)],[])).
% 13.81/9.10 tff(3011,plain,
% 13.81/9.10 ((v123(constB43) <=> (~(v90(constB43, bitIndex0) | v90(constB43, bitIndex1) | (~v90(constB43, bitIndex2))))) <=> (v123(constB43) <=> (~((~v90(constB43, bitIndex2)) | v90(constB43, bitIndex1) | v90(constB43, bitIndex0))))),
% 13.81/9.10 inference(rewrite,[status(thm)],[])).
% 13.81/9.10 tff(3012,plain,
% 13.81/9.10 (((~![VarCurr: $i] : (v123(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)))))) | (v123(constB43) <=> (~(v90(constB43, bitIndex0) | v90(constB43, bitIndex1) | (~v90(constB43, bitIndex2)))))) <=> ((~![VarCurr: $i] : (v123(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)))))) | (v123(constB43) <=> (~((~v90(constB43, bitIndex2)) | v90(constB43, bitIndex1) | v90(constB43, bitIndex0)))))),
% 13.81/9.10 inference(monotonicity,[status(thm)],[3011])).
% 13.81/9.10 tff(3013,plain,
% 13.81/9.10 (((~![VarCurr: $i] : (v123(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)))))) | (v123(constB43) <=> (~(v90(constB43, bitIndex0) | v90(constB43, bitIndex1) | (~v90(constB43, bitIndex2)))))) <=> ((~![VarCurr: $i] : (v123(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)))))) | (v123(constB43) <=> (~((~v90(constB43, bitIndex2)) | v90(constB43, bitIndex1) | v90(constB43, bitIndex0)))))),
% 13.81/9.10 inference(transitivity,[status(thm)],[3012, 3010])).
% 13.81/9.10 tff(3014,plain,
% 13.81/9.10 ((~![VarCurr: $i] : (v123(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)))))) | (v123(constB43) <=> (~(v90(constB43, bitIndex0) | v90(constB43, bitIndex1) | (~v90(constB43, bitIndex2)))))),
% 13.81/9.10 inference(quant_inst,[status(thm)],[])).
% 13.81/9.10 tff(3015,plain,
% 13.81/9.10 ((~![VarCurr: $i] : (v123(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)))))) | (v123(constB43) <=> (~((~v90(constB43, bitIndex2)) | v90(constB43, bitIndex1) | v90(constB43, bitIndex0))))),
% 13.81/9.10 inference(modus_ponens,[status(thm)],[3014, 3013])).
% 13.81/9.10 tff(3016,plain,
% 13.81/9.10 (v123(constB43) <=> (~((~v90(constB43, bitIndex2)) | v90(constB43, bitIndex1) | v90(constB43, bitIndex0)))),
% 13.81/9.10 inference(unit_resolution,[status(thm)],[3015, 621])).
% 13.81/9.10 tff(3017,plain,
% 13.81/9.10 (nextState(constB42, constB43) <=> nextState(constB42, constB43)),
% 13.81/9.10 inference(rewrite,[status(thm)],[])).
% 13.81/9.10 tff(3018,axiom,(nextState(constB42, constB43)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_42')).
% 13.81/9.10 tff(3019,plain,
% 13.81/9.10 (nextState(constB42, constB43)),
% 13.81/9.10 inference(modus_ponens,[status(thm)],[3018, 3017])).
% 13.81/9.10 tff(3020,plain,
% 13.81/9.10 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB42, constB43)) | (v100(constB43) <=> (~((~v101(constB43)) | (~v110(constB43))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB42, constB43)) | (v100(constB43) <=> (~((~v101(constB43)) | (~v110(constB43))))))),
% 13.81/9.10 inference(rewrite,[status(thm)],[])).
% 13.81/9.10 tff(3021,plain,
% 13.81/9.10 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB42, constB43)) | (v100(constB43) <=> (~((~v101(constB43)) | (~v110(constB43))))))),
% 13.81/9.10 inference(quant_inst,[status(thm)],[])).
% 13.81/9.10 tff(3022,plain,
% 13.81/9.10 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB42, constB43)) | (v100(constB43) <=> (~((~v101(constB43)) | (~v110(constB43)))))),
% 13.81/9.10 inference(modus_ponens,[status(thm)],[3021, 3020])).
% 13.81/9.10 tff(3023,plain,
% 13.81/9.10 (v100(constB43) <=> (~((~v101(constB43)) | (~v110(constB43))))),
% 13.81/9.10 inference(unit_resolution,[status(thm)],[3022, 3019, 430])).
% 13.81/9.10 tff(3024,plain,
% 13.81/9.10 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB42, constB43)) | (v101(constB43) <=> (~((~v1(constB43)) | (~v102(constB43))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB42, constB43)) | (v101(constB43) <=> (~((~v1(constB43)) | (~v102(constB43))))))),
% 13.81/9.10 inference(rewrite,[status(thm)],[])).
% 13.81/9.10 tff(3025,plain,
% 13.81/9.10 (((~nextState(constB42, constB43)) | (v101(constB43) <=> (~((~v102(constB43)) | (~v1(constB43)))))) <=> ((~nextState(constB42, constB43)) | (v101(constB43) <=> (~((~v1(constB43)) | (~v102(constB43))))))),
% 13.81/9.10 inference(rewrite,[status(thm)],[])).
% 13.81/9.10 tff(3026,plain,
% 13.81/9.10 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB42, constB43)) | (v101(constB43) <=> (~((~v102(constB43)) | (~v1(constB43))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB42, constB43)) | (v101(constB43) <=> (~((~v1(constB43)) | (~v102(constB43)))))))),
% 13.81/9.10 inference(monotonicity,[status(thm)],[3025])).
% 13.81/9.10 tff(3027,plain,
% 13.81/9.10 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB42, constB43)) | (v101(constB43) <=> (~((~v102(constB43)) | (~v1(constB43))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB42, constB43)) | (v101(constB43) <=> (~((~v1(constB43)) | (~v102(constB43))))))),
% 13.81/9.10 inference(transitivity,[status(thm)],[3026, 3024])).
% 13.81/9.10 tff(3028,plain,
% 13.81/9.10 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB42, constB43)) | (v101(constB43) <=> (~((~v102(constB43)) | (~v1(constB43))))))),
% 13.81/9.10 inference(quant_inst,[status(thm)],[])).
% 13.81/9.10 tff(3029,plain,
% 13.81/9.10 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB42, constB43)) | (v101(constB43) <=> (~((~v1(constB43)) | (~v102(constB43)))))),
% 13.81/9.10 inference(modus_ponens,[status(thm)],[3028, 3027])).
% 13.81/9.10 tff(3030,plain,
% 13.81/9.10 (v101(constB43) <=> (~((~v1(constB43)) | (~v102(constB43))))),
% 13.81/9.10 inference(unit_resolution,[status(thm)],[3029, 3019, 450])).
% 13.81/9.10 tff(3031,plain,
% 13.81/9.10 (((~v1(constB43)) | (~v102(constB43))) | v1(constB43)),
% 13.81/9.10 inference(tautology,[status(thm)],[])).
% 13.81/9.10 tff(3032,plain,
% 13.81/9.10 ((~v1(constB43)) | (~v102(constB43))),
% 13.81/9.10 inference(unit_resolution,[status(thm)],[3031, 2982])).
% 13.81/9.10 tff(3033,plain,
% 13.81/9.10 ((~(v101(constB43) <=> (~((~v1(constB43)) | (~v102(constB43)))))) | (~v101(constB43)) | (~((~v1(constB43)) | (~v102(constB43))))),
% 13.81/9.10 inference(tautology,[status(thm)],[])).
% 13.81/9.10 tff(3034,plain,
% 13.81/9.10 ((~(v101(constB43) <=> (~((~v1(constB43)) | (~v102(constB43)))))) | (~v101(constB43))),
% 13.81/9.10 inference(unit_resolution,[status(thm)],[3033, 3032])).
% 13.81/9.10 tff(3035,plain,
% 13.81/9.10 (~v101(constB43)),
% 13.81/9.10 inference(unit_resolution,[status(thm)],[3034, 3030])).
% 13.81/9.10 tff(3036,plain,
% 13.81/9.10 (((~v101(constB43)) | (~v110(constB43))) | v101(constB43)),
% 13.81/9.10 inference(tautology,[status(thm)],[])).
% 13.81/9.10 tff(3037,plain,
% 13.81/9.10 ((~v101(constB43)) | (~v110(constB43))),
% 13.81/9.10 inference(unit_resolution,[status(thm)],[3036, 3035])).
% 13.81/9.10 tff(3038,plain,
% 13.81/9.10 ((~(v100(constB43) <=> (~((~v101(constB43)) | (~v110(constB43)))))) | (~v100(constB43)) | (~((~v101(constB43)) | (~v110(constB43))))),
% 13.81/9.10 inference(tautology,[status(thm)],[])).
% 13.81/9.10 tff(3039,plain,
% 13.81/9.10 (~v100(constB43)),
% 13.81/9.10 inference(unit_resolution,[status(thm)],[3038, 3037, 3023])).
% 13.81/9.10 tff(3040,plain,
% 13.81/9.10 (((~![VarCurr: $i, VarNext: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v90(VarCurr, B))))) | (v100(constB43) | (~nextState(constB42, constB43)) | ![B: $i] : ((~less_3(B)) | (v90(constB43, B) <=> v90(constB42, B))))) <=> ((~![VarCurr: $i, VarNext: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v90(VarCurr, B))))) | v100(constB43) | (~nextState(constB42, constB43)) | ![B: $i] : ((~less_3(B)) | (v90(constB43, B) <=> v90(constB42, B))))),
% 13.81/9.10 inference(rewrite,[status(thm)],[])).
% 13.81/9.10 tff(3041,plain,
% 13.81/9.10 ((~![VarCurr: $i, VarNext: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v90(VarCurr, B))))) | (v100(constB43) | (~nextState(constB42, constB43)) | ![B: $i] : ((~less_3(B)) | (v90(constB43, B) <=> v90(constB42, B))))),
% 13.81/9.10 inference(quant_inst,[status(thm)],[])).
% 13.81/9.10 tff(3042,plain,
% 13.81/9.10 ((~![VarCurr: $i, VarNext: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v90(VarCurr, B))))) | v100(constB43) | (~nextState(constB42, constB43)) | ![B: $i] : ((~less_3(B)) | (v90(constB43, B) <=> v90(constB42, B)))),
% 13.81/9.10 inference(modus_ponens,[status(thm)],[3041, 3040])).
% 13.81/9.10 tff(3043,plain,
% 13.81/9.10 (v100(constB43) | ![B: $i] : ((~less_3(B)) | (v90(constB43, B) <=> v90(constB42, B)))),
% 13.81/9.10 inference(unit_resolution,[status(thm)],[3042, 3019, 479])).
% 13.81/9.10 tff(3044,plain,
% 13.81/9.10 (![B: $i] : ((~less_3(B)) | (v90(constB43, B) <=> v90(constB42, B)))),
% 13.81/9.10 inference(unit_resolution,[status(thm)],[3043, 3039])).
% 13.81/9.10 tff(3045,plain,
% 13.81/9.10 (((~![B: $i] : ((~less_3(B)) | (v90(constB43, B) <=> v90(constB42, B)))) | ((~less_3(bitIndex2)) | (v90(constB43, bitIndex2) <=> v90(constB42, bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v90(constB43, B) <=> v90(constB42, B)))) | (~less_3(bitIndex2)) | (v90(constB43, bitIndex2) <=> v90(constB42, bitIndex2)))),
% 13.81/9.10 inference(rewrite,[status(thm)],[])).
% 13.81/9.10 tff(3046,plain,
% 13.81/9.10 ((~![B: $i] : ((~less_3(B)) | (v90(constB43, B) <=> v90(constB42, B)))) | ((~less_3(bitIndex2)) | (v90(constB43, bitIndex2) <=> v90(constB42, bitIndex2)))),
% 13.81/9.10 inference(quant_inst,[status(thm)],[])).
% 13.81/9.10 tff(3047,plain,
% 13.81/9.10 ((~![B: $i] : ((~less_3(B)) | (v90(constB43, B) <=> v90(constB42, B)))) | (~less_3(bitIndex2)) | (v90(constB43, bitIndex2) <=> v90(constB42, bitIndex2))),
% 13.81/9.10 inference(modus_ponens,[status(thm)],[3046, 3045])).
% 13.81/9.11 tff(3048,plain,
% 13.81/9.11 (v90(constB43, bitIndex2) <=> v90(constB42, bitIndex2)),
% 13.81/9.11 inference(unit_resolution,[status(thm)],[3047, 413, 3044])).
% 13.81/9.11 tff(3049,plain,
% 13.81/9.11 (nextState(constB41, constB42) <=> nextState(constB41, constB42)),
% 13.81/9.11 inference(rewrite,[status(thm)],[])).
% 13.81/9.11 tff(3050,axiom,(nextState(constB41, constB42)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_41')).
% 13.81/9.11 tff(3051,plain,
% 13.81/9.11 (nextState(constB41, constB42)),
% 13.81/9.11 inference(modus_ponens,[status(thm)],[3050, 3049])).
% 13.81/9.11 tff(3052,plain,
% 13.81/9.11 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB41, constB42)) | (v100(constB42) <=> (~((~v101(constB42)) | (~v110(constB42))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB41, constB42)) | (v100(constB42) <=> (~((~v101(constB42)) | (~v110(constB42))))))),
% 13.81/9.11 inference(rewrite,[status(thm)],[])).
% 13.81/9.11 tff(3053,plain,
% 13.81/9.11 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB41, constB42)) | (v100(constB42) <=> (~((~v101(constB42)) | (~v110(constB42))))))),
% 13.81/9.11 inference(quant_inst,[status(thm)],[])).
% 13.81/9.11 tff(3054,plain,
% 13.81/9.11 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB41, constB42)) | (v100(constB42) <=> (~((~v101(constB42)) | (~v110(constB42)))))),
% 13.81/9.11 inference(modus_ponens,[status(thm)],[3053, 3052])).
% 13.81/9.11 tff(3055,plain,
% 13.81/9.11 (v100(constB42) <=> (~((~v101(constB42)) | (~v110(constB42))))),
% 13.81/9.11 inference(unit_resolution,[status(thm)],[3054, 3051, 430])).
% 13.81/9.11 tff(3056,plain,
% 13.81/9.11 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB41, constB42)) | (v101(constB42) <=> (~((~v1(constB42)) | (~v102(constB42))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB41, constB42)) | (v101(constB42) <=> (~((~v1(constB42)) | (~v102(constB42))))))),
% 13.81/9.11 inference(rewrite,[status(thm)],[])).
% 13.81/9.11 tff(3057,plain,
% 13.81/9.11 (((~nextState(constB41, constB42)) | (v101(constB42) <=> (~((~v102(constB42)) | (~v1(constB42)))))) <=> ((~nextState(constB41, constB42)) | (v101(constB42) <=> (~((~v1(constB42)) | (~v102(constB42))))))),
% 13.81/9.11 inference(rewrite,[status(thm)],[])).
% 13.81/9.11 tff(3058,plain,
% 13.81/9.11 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB41, constB42)) | (v101(constB42) <=> (~((~v102(constB42)) | (~v1(constB42))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB41, constB42)) | (v101(constB42) <=> (~((~v1(constB42)) | (~v102(constB42)))))))),
% 13.81/9.11 inference(monotonicity,[status(thm)],[3057])).
% 13.81/9.11 tff(3059,plain,
% 13.81/9.11 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB41, constB42)) | (v101(constB42) <=> (~((~v102(constB42)) | (~v1(constB42))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB41, constB42)) | (v101(constB42) <=> (~((~v1(constB42)) | (~v102(constB42))))))),
% 13.81/9.11 inference(transitivity,[status(thm)],[3058, 3056])).
% 13.81/9.11 tff(3060,plain,
% 13.81/9.11 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB41, constB42)) | (v101(constB42) <=> (~((~v102(constB42)) | (~v1(constB42))))))),
% 13.81/9.11 inference(quant_inst,[status(thm)],[])).
% 13.81/9.11 tff(3061,plain,
% 13.81/9.11 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB41, constB42)) | (v101(constB42) <=> (~((~v1(constB42)) | (~v102(constB42)))))),
% 13.81/9.11 inference(modus_ponens,[status(thm)],[3060, 3059])).
% 13.81/9.11 tff(3062,plain,
% 13.81/9.11 (v101(constB42) <=> (~((~v1(constB42)) | (~v102(constB42))))),
% 13.81/9.11 inference(unit_resolution,[status(thm)],[3061, 3051, 450])).
% 13.81/9.11 tff(3063,plain,
% 13.81/9.11 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | ((~nextState(constB41, constB42)) | ((~v102(constB42)) <=> v104(constB42)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | (~nextState(constB41, constB42)) | ((~v102(constB42)) <=> v104(constB42)))),
% 13.81/9.11 inference(rewrite,[status(thm)],[])).
% 13.81/9.11 tff(3064,plain,
% 13.81/9.11 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | ((~nextState(constB41, constB42)) | ((~v102(constB42)) <=> v104(constB42)))),
% 13.81/9.11 inference(quant_inst,[status(thm)],[])).
% 13.81/9.11 tff(3065,plain,
% 13.81/9.11 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | (~nextState(constB41, constB42)) | ((~v102(constB42)) <=> v104(constB42))),
% 13.81/9.11 inference(modus_ponens,[status(thm)],[3064, 3063])).
% 13.81/9.11 tff(3066,plain,
% 13.81/9.11 ((~v102(constB42)) <=> v104(constB42)),
% 13.81/9.11 inference(unit_resolution,[status(thm)],[3065, 3051, 512])).
% 13.81/9.11 tff(3067,plain,
% 13.81/9.11 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB41, constB42)) | (v104(constB42) <=> v1(constB41)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | (~nextState(constB41, constB42)) | (v104(constB42) <=> v1(constB41)))),
% 13.81/9.11 inference(rewrite,[status(thm)],[])).
% 13.81/9.11 tff(3068,plain,
% 13.81/9.11 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB41, constB42)) | (v104(constB42) <=> v1(constB41)))),
% 13.81/9.11 inference(quant_inst,[status(thm)],[])).
% 13.81/9.11 tff(3069,plain,
% 13.81/9.11 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | (~nextState(constB41, constB42)) | (v104(constB42) <=> v1(constB41))),
% 13.81/9.11 inference(modus_ponens,[status(thm)],[3068, 3067])).
% 13.81/9.11 tff(3070,plain,
% 13.81/9.11 (v104(constB42) <=> v1(constB41)),
% 13.81/9.11 inference(unit_resolution,[status(thm)],[3069, 3051, 526])).
% 13.81/9.11 tff(3071,plain,
% 13.81/9.11 ((~v1(constB41)) <=> (~v1(constB41))),
% 13.81/9.11 inference(rewrite,[status(thm)],[])).
% 13.81/9.11 tff(3072,axiom,(~v1(constB41)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_41')).
% 13.81/9.11 tff(3073,plain,
% 13.81/9.11 (~v1(constB41)),
% 13.81/9.11 inference(modus_ponens,[status(thm)],[3072, 3071])).
% 13.81/9.11 tff(3074,plain,
% 13.81/9.11 ((~(v104(constB42) <=> v1(constB41))) | (~v104(constB42)) | v1(constB41)),
% 13.81/9.11 inference(tautology,[status(thm)],[])).
% 13.81/9.11 tff(3075,plain,
% 13.81/9.11 ((~(v104(constB42) <=> v1(constB41))) | (~v104(constB42))),
% 13.81/9.11 inference(unit_resolution,[status(thm)],[3074, 3073])).
% 13.81/9.11 tff(3076,plain,
% 13.81/9.11 (~v104(constB42)),
% 13.81/9.11 inference(unit_resolution,[status(thm)],[3075, 3070])).
% 13.81/9.11 tff(3077,plain,
% 13.81/9.11 ((~((~v102(constB42)) <=> v104(constB42))) | v102(constB42) | v104(constB42)),
% 13.81/9.11 inference(tautology,[status(thm)],[])).
% 13.81/9.11 tff(3078,plain,
% 13.81/9.11 (v102(constB42)),
% 13.81/9.11 inference(unit_resolution,[status(thm)],[3077, 3076, 3066])).
% 13.81/9.11 tff(3079,plain,
% 13.81/9.11 (v1(constB42) <=> v1(constB42)),
% 13.81/9.11 inference(rewrite,[status(thm)],[])).
% 13.81/9.11 tff(3080,axiom,(v1(constB42)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_42')).
% 13.81/9.11 tff(3081,plain,
% 13.81/9.11 (v1(constB42)),
% 13.81/9.11 inference(modus_ponens,[status(thm)],[3080, 3079])).
% 13.81/9.11 tff(3082,plain,
% 13.81/9.11 ((~((~v1(constB42)) | (~v102(constB42)))) | (~v1(constB42)) | (~v102(constB42))),
% 13.81/9.11 inference(tautology,[status(thm)],[])).
% 13.81/9.11 tff(3083,plain,
% 13.81/9.11 ((~((~v1(constB42)) | (~v102(constB42)))) | (~v102(constB42))),
% 13.81/9.11 inference(unit_resolution,[status(thm)],[3082, 3081])).
% 13.81/9.11 tff(3084,plain,
% 13.81/9.11 (~((~v1(constB42)) | (~v102(constB42)))),
% 13.81/9.11 inference(unit_resolution,[status(thm)],[3083, 3078])).
% 13.81/9.11 tff(3085,plain,
% 13.81/9.11 ((~(v101(constB42) <=> (~((~v1(constB42)) | (~v102(constB42)))))) | v101(constB42) | ((~v1(constB42)) | (~v102(constB42)))),
% 13.81/9.11 inference(tautology,[status(thm)],[])).
% 13.81/9.11 tff(3086,plain,
% 13.81/9.11 (v101(constB42)),
% 13.81/9.11 inference(unit_resolution,[status(thm)],[3085, 3084, 3062])).
% 13.81/9.11 tff(3087,plain,
% 13.81/9.11 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | ((~nextState(constB41, constB42)) | (v110(constB42) <=> v108(constB41)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | (~nextState(constB41, constB42)) | (v110(constB42) <=> v108(constB41)))),
% 13.81/9.11 inference(rewrite,[status(thm)],[])).
% 13.81/9.11 tff(3088,plain,
% 13.81/9.11 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | ((~nextState(constB41, constB42)) | (v110(constB42) <=> v108(constB41)))),
% 13.81/9.11 inference(quant_inst,[status(thm)],[])).
% 13.81/9.11 tff(3089,plain,
% 13.81/9.11 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | (~nextState(constB41, constB42)) | (v110(constB42) <=> v108(constB41))),
% 13.81/9.11 inference(modus_ponens,[status(thm)],[3088, 3087])).
% 13.81/9.11 tff(3090,plain,
% 13.81/9.11 (v110(constB42) <=> v108(constB41)),
% 13.81/9.11 inference(unit_resolution,[status(thm)],[3089, 3051, 556])).
% 13.81/9.11 tff(3091,plain,
% 13.81/9.11 ((~![VarCurr: $i] : (v108(VarCurr) <=> (v111(VarCurr) | v112(VarCurr)))) | (v108(constB41) <=> (v111(constB41) | v112(constB41)))),
% 13.81/9.11 inference(quant_inst,[status(thm)],[])).
% 13.81/9.11 tff(3092,plain,
% 13.81/9.11 (v108(constB41) <=> (v111(constB41) | v112(constB41))),
% 13.81/9.11 inference(unit_resolution,[status(thm)],[3091, 567])).
% 13.81/9.11 tff(3093,plain,
% 13.81/9.11 ((~![VarCurr: $i] : (v112(VarCurr) <=> (~((~v113(VarCurr)) | (~v126(VarCurr)))))) | (v112(constB41) <=> (~((~v113(constB41)) | (~v126(constB41)))))),
% 13.81/9.11 inference(quant_inst,[status(thm)],[])).
% 13.81/9.11 tff(3094,plain,
% 13.81/9.11 (v112(constB41) <=> (~((~v113(constB41)) | (~v126(constB41))))),
% 13.81/9.11 inference(unit_resolution,[status(thm)],[3093, 579])).
% 13.81/9.11 tff(3095,plain,
% 13.81/9.11 ((~![VarCurr: $i] : (v113(VarCurr) <=> (v114(VarCurr) | v125(VarCurr)))) | (v113(constB41) <=> (v114(constB41) | v125(constB41)))),
% 13.81/9.11 inference(quant_inst,[status(thm)],[])).
% 13.81/9.11 tff(3096,plain,
% 13.81/9.11 (v113(constB41) <=> (v114(constB41) | v125(constB41))),
% 13.81/9.11 inference(unit_resolution,[status(thm)],[3095, 588])).
% 13.81/9.11 tff(3097,plain,
% 13.81/9.11 ((~![VarCurr: $i] : (v114(VarCurr) <=> (v115(VarCurr) | v124(VarCurr)))) | (v114(constB41) <=> (v115(constB41) | v124(constB41)))),
% 13.81/9.11 inference(quant_inst,[status(thm)],[])).
% 13.81/9.11 tff(3098,plain,
% 13.81/9.11 (v114(constB41) <=> (v115(constB41) | v124(constB41))),
% 13.81/9.11 inference(unit_resolution,[status(thm)],[3097, 597])).
% 13.81/9.11 tff(3099,plain,
% 13.81/9.11 ((~![VarCurr: $i] : (v115(VarCurr) <=> (v116(VarCurr) | v123(VarCurr)))) | (v115(constB41) <=> (v116(constB41) | v123(constB41)))),
% 13.81/9.11 inference(quant_inst,[status(thm)],[])).
% 13.81/9.11 tff(3100,plain,
% 13.81/9.11 (v115(constB41) <=> (v116(constB41) | v123(constB41))),
% 13.81/9.11 inference(unit_resolution,[status(thm)],[3099, 606])).
% 13.81/9.11 tff(3101,plain,
% 13.81/9.11 ((~![VarCurr: $i] : (v116(VarCurr) <=> (v117(VarCurr) | v122(VarCurr)))) | (v116(constB41) <=> (v117(constB41) | v122(constB41)))),
% 13.81/9.11 inference(quant_inst,[status(thm)],[])).
% 13.81/9.11 tff(3102,plain,
% 13.81/9.11 (v116(constB41) <=> (v117(constB41) | v122(constB41))),
% 13.81/9.11 inference(unit_resolution,[status(thm)],[3101, 719])).
% 13.81/9.11 tff(3103,plain,
% 13.81/9.11 (((~![VarCurr: $i] : (v122(VarCurr) <=> (~(v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)))))) | (v122(constB41) <=> (~(v90(constB41, bitIndex2) | (~v90(constB41, bitIndex1)) | (~v90(constB41, bitIndex0)))))) <=> ((~![VarCurr: $i] : (v122(VarCurr) <=> (~(v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)))))) | (v122(constB41) <=> (~(v90(constB41, bitIndex2) | (~v90(constB41, bitIndex1)) | (~v90(constB41, bitIndex0))))))),
% 13.81/9.11 inference(rewrite,[status(thm)],[])).
% 13.81/9.11 tff(3104,plain,
% 13.81/9.11 ((v122(constB41) <=> (~(v90(constB41, bitIndex2) | (~v90(constB41, bitIndex0)) | (~v90(constB41, bitIndex1))))) <=> (v122(constB41) <=> (~(v90(constB41, bitIndex2) | (~v90(constB41, bitIndex1)) | (~v90(constB41, bitIndex0)))))),
% 13.91/9.11 inference(rewrite,[status(thm)],[])).
% 13.91/9.11 tff(3105,plain,
% 13.91/9.11 (((~![VarCurr: $i] : (v122(VarCurr) <=> (~(v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)))))) | (v122(constB41) <=> (~(v90(constB41, bitIndex2) | (~v90(constB41, bitIndex0)) | (~v90(constB41, bitIndex1)))))) <=> ((~![VarCurr: $i] : (v122(VarCurr) <=> (~(v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)))))) | (v122(constB41) <=> (~(v90(constB41, bitIndex2) | (~v90(constB41, bitIndex1)) | (~v90(constB41, bitIndex0))))))),
% 13.91/9.11 inference(monotonicity,[status(thm)],[3104])).
% 13.91/9.11 tff(3106,plain,
% 13.91/9.11 (((~![VarCurr: $i] : (v122(VarCurr) <=> (~(v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)))))) | (v122(constB41) <=> (~(v90(constB41, bitIndex2) | (~v90(constB41, bitIndex0)) | (~v90(constB41, bitIndex1)))))) <=> ((~![VarCurr: $i] : (v122(VarCurr) <=> (~(v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)))))) | (v122(constB41) <=> (~(v90(constB41, bitIndex2) | (~v90(constB41, bitIndex1)) | (~v90(constB41, bitIndex0))))))),
% 13.91/9.11 inference(transitivity,[status(thm)],[3105, 3103])).
% 13.91/9.11 tff(3107,plain,
% 13.91/9.11 ((~![VarCurr: $i] : (v122(VarCurr) <=> (~(v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)))))) | (v122(constB41) <=> (~(v90(constB41, bitIndex2) | (~v90(constB41, bitIndex0)) | (~v90(constB41, bitIndex1)))))),
% 13.91/9.11 inference(quant_inst,[status(thm)],[])).
% 13.91/9.11 tff(3108,plain,
% 13.91/9.11 ((~![VarCurr: $i] : (v122(VarCurr) <=> (~(v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)))))) | (v122(constB41) <=> (~(v90(constB41, bitIndex2) | (~v90(constB41, bitIndex1)) | (~v90(constB41, bitIndex0)))))),
% 13.91/9.11 inference(modus_ponens,[status(thm)],[3107, 3106])).
% 13.91/9.11 tff(3109,plain,
% 13.91/9.11 (v122(constB41) <=> (~(v90(constB41, bitIndex2) | (~v90(constB41, bitIndex1)) | (~v90(constB41, bitIndex0))))),
% 13.91/9.11 inference(unit_resolution,[status(thm)],[3108, 734])).
% 13.91/9.11 tff(3110,plain,
% 13.91/9.11 (nextState(constB40, constB41) <=> nextState(constB40, constB41)),
% 13.91/9.11 inference(rewrite,[status(thm)],[])).
% 13.91/9.11 tff(3111,axiom,(nextState(constB40, constB41)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_40')).
% 13.91/9.11 tff(3112,plain,
% 13.91/9.11 (nextState(constB40, constB41)),
% 13.91/9.11 inference(modus_ponens,[status(thm)],[3111, 3110])).
% 13.91/9.11 tff(3113,plain,
% 13.91/9.11 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB40, constB41)) | (v100(constB41) <=> (~((~v101(constB41)) | (~v110(constB41))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB40, constB41)) | (v100(constB41) <=> (~((~v101(constB41)) | (~v110(constB41))))))),
% 13.91/9.11 inference(rewrite,[status(thm)],[])).
% 13.91/9.11 tff(3114,plain,
% 13.91/9.11 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB40, constB41)) | (v100(constB41) <=> (~((~v101(constB41)) | (~v110(constB41))))))),
% 13.91/9.11 inference(quant_inst,[status(thm)],[])).
% 13.91/9.11 tff(3115,plain,
% 13.91/9.11 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB40, constB41)) | (v100(constB41) <=> (~((~v101(constB41)) | (~v110(constB41)))))),
% 13.91/9.11 inference(modus_ponens,[status(thm)],[3114, 3113])).
% 13.91/9.11 tff(3116,plain,
% 13.91/9.11 (v100(constB41) <=> (~((~v101(constB41)) | (~v110(constB41))))),
% 13.91/9.11 inference(unit_resolution,[status(thm)],[3115, 3112, 430])).
% 13.91/9.11 tff(3117,plain,
% 13.91/9.11 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB40, constB41)) | (v101(constB41) <=> (~((~v1(constB41)) | (~v102(constB41))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB40, constB41)) | (v101(constB41) <=> (~((~v1(constB41)) | (~v102(constB41))))))),
% 13.91/9.12 inference(rewrite,[status(thm)],[])).
% 13.91/9.12 tff(3118,plain,
% 13.91/9.12 (((~nextState(constB40, constB41)) | (v101(constB41) <=> (~((~v102(constB41)) | (~v1(constB41)))))) <=> ((~nextState(constB40, constB41)) | (v101(constB41) <=> (~((~v1(constB41)) | (~v102(constB41))))))),
% 13.91/9.12 inference(rewrite,[status(thm)],[])).
% 13.91/9.12 tff(3119,plain,
% 13.91/9.12 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB40, constB41)) | (v101(constB41) <=> (~((~v102(constB41)) | (~v1(constB41))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB40, constB41)) | (v101(constB41) <=> (~((~v1(constB41)) | (~v102(constB41)))))))),
% 13.91/9.12 inference(monotonicity,[status(thm)],[3118])).
% 13.91/9.12 tff(3120,plain,
% 13.91/9.12 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB40, constB41)) | (v101(constB41) <=> (~((~v102(constB41)) | (~v1(constB41))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB40, constB41)) | (v101(constB41) <=> (~((~v1(constB41)) | (~v102(constB41))))))),
% 13.91/9.12 inference(transitivity,[status(thm)],[3119, 3117])).
% 13.91/9.12 tff(3121,plain,
% 13.91/9.12 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB40, constB41)) | (v101(constB41) <=> (~((~v102(constB41)) | (~v1(constB41))))))),
% 13.91/9.12 inference(quant_inst,[status(thm)],[])).
% 13.91/9.12 tff(3122,plain,
% 13.91/9.12 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB40, constB41)) | (v101(constB41) <=> (~((~v1(constB41)) | (~v102(constB41)))))),
% 13.91/9.12 inference(modus_ponens,[status(thm)],[3121, 3120])).
% 13.91/9.12 tff(3123,plain,
% 13.91/9.12 (v101(constB41) <=> (~((~v1(constB41)) | (~v102(constB41))))),
% 13.91/9.12 inference(unit_resolution,[status(thm)],[3122, 3112, 450])).
% 13.91/9.12 tff(3124,plain,
% 13.91/9.12 (((~v1(constB41)) | (~v102(constB41))) | v1(constB41)),
% 13.91/9.12 inference(tautology,[status(thm)],[])).
% 13.91/9.12 tff(3125,plain,
% 13.91/9.12 ((~v1(constB41)) | (~v102(constB41))),
% 13.91/9.12 inference(unit_resolution,[status(thm)],[3124, 3073])).
% 13.91/9.12 tff(3126,plain,
% 13.91/9.12 ((~(v101(constB41) <=> (~((~v1(constB41)) | (~v102(constB41)))))) | (~v101(constB41)) | (~((~v1(constB41)) | (~v102(constB41))))),
% 13.91/9.12 inference(tautology,[status(thm)],[])).
% 13.91/9.12 tff(3127,plain,
% 13.91/9.12 ((~(v101(constB41) <=> (~((~v1(constB41)) | (~v102(constB41)))))) | (~v101(constB41))),
% 13.91/9.12 inference(unit_resolution,[status(thm)],[3126, 3125])).
% 13.91/9.12 tff(3128,plain,
% 13.91/9.12 (~v101(constB41)),
% 13.91/9.12 inference(unit_resolution,[status(thm)],[3127, 3123])).
% 13.91/9.12 tff(3129,plain,
% 13.91/9.12 (((~v101(constB41)) | (~v110(constB41))) | v101(constB41)),
% 13.91/9.12 inference(tautology,[status(thm)],[])).
% 13.91/9.12 tff(3130,plain,
% 13.91/9.12 ((~v101(constB41)) | (~v110(constB41))),
% 13.91/9.12 inference(unit_resolution,[status(thm)],[3129, 3128])).
% 13.91/9.12 tff(3131,plain,
% 13.91/9.12 ((~(v100(constB41) <=> (~((~v101(constB41)) | (~v110(constB41)))))) | (~v100(constB41)) | (~((~v101(constB41)) | (~v110(constB41))))),
% 13.91/9.12 inference(tautology,[status(thm)],[])).
% 13.91/9.12 tff(3132,plain,
% 13.91/9.12 (~v100(constB41)),
% 13.91/9.12 inference(unit_resolution,[status(thm)],[3131, 3130, 3116])).
% 13.91/9.12 tff(3133,plain,
% 13.91/9.12 (((~![VarCurr: $i, VarNext: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v90(VarCurr, B))))) | (v100(constB41) | (~nextState(constB40, constB41)) | ![B: $i] : ((~less_3(B)) | (v90(constB41, B) <=> v90(constB40, B))))) <=> ((~![VarCurr: $i, VarNext: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v90(VarCurr, B))))) | v100(constB41) | (~nextState(constB40, constB41)) | ![B: $i] : ((~less_3(B)) | (v90(constB41, B) <=> v90(constB40, B))))),
% 13.91/9.12 inference(rewrite,[status(thm)],[])).
% 13.91/9.12 tff(3134,plain,
% 13.91/9.12 ((~![VarCurr: $i, VarNext: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v90(VarCurr, B))))) | (v100(constB41) | (~nextState(constB40, constB41)) | ![B: $i] : ((~less_3(B)) | (v90(constB41, B) <=> v90(constB40, B))))),
% 13.91/9.12 inference(quant_inst,[status(thm)],[])).
% 13.91/9.12 tff(3135,plain,
% 13.91/9.12 ((~![VarCurr: $i, VarNext: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v90(VarCurr, B))))) | v100(constB41) | (~nextState(constB40, constB41)) | ![B: $i] : ((~less_3(B)) | (v90(constB41, B) <=> v90(constB40, B)))),
% 13.91/9.12 inference(modus_ponens,[status(thm)],[3134, 3133])).
% 13.91/9.12 tff(3136,plain,
% 13.91/9.12 (v100(constB41) | ![B: $i] : ((~less_3(B)) | (v90(constB41, B) <=> v90(constB40, B)))),
% 13.91/9.12 inference(unit_resolution,[status(thm)],[3135, 3112, 479])).
% 13.91/9.12 tff(3137,plain,
% 13.91/9.12 (![B: $i] : ((~less_3(B)) | (v90(constB41, B) <=> v90(constB40, B)))),
% 13.91/9.12 inference(unit_resolution,[status(thm)],[3136, 3132])).
% 13.91/9.12 tff(3138,plain,
% 13.91/9.12 (((~![B: $i] : ((~less_3(B)) | (v90(constB41, B) <=> v90(constB40, B)))) | ((~less_3(bitIndex2)) | (v90(constB41, bitIndex2) <=> v90(constB40, bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v90(constB41, B) <=> v90(constB40, B)))) | (~less_3(bitIndex2)) | (v90(constB41, bitIndex2) <=> v90(constB40, bitIndex2)))),
% 13.91/9.12 inference(rewrite,[status(thm)],[])).
% 13.91/9.12 tff(3139,plain,
% 13.91/9.12 ((~![B: $i] : ((~less_3(B)) | (v90(constB41, B) <=> v90(constB40, B)))) | ((~less_3(bitIndex2)) | (v90(constB41, bitIndex2) <=> v90(constB40, bitIndex2)))),
% 13.91/9.12 inference(quant_inst,[status(thm)],[])).
% 13.91/9.12 tff(3140,plain,
% 13.91/9.12 ((~![B: $i] : ((~less_3(B)) | (v90(constB41, B) <=> v90(constB40, B)))) | (~less_3(bitIndex2)) | (v90(constB41, bitIndex2) <=> v90(constB40, bitIndex2))),
% 13.91/9.12 inference(modus_ponens,[status(thm)],[3139, 3138])).
% 13.91/9.12 tff(3141,plain,
% 13.91/9.12 (v90(constB41, bitIndex2) <=> v90(constB40, bitIndex2)),
% 13.91/9.12 inference(unit_resolution,[status(thm)],[3140, 413, 3137])).
% 13.91/9.12 tff(3142,plain,
% 13.91/9.12 (nextState(constB39, constB40) <=> nextState(constB39, constB40)),
% 13.91/9.12 inference(rewrite,[status(thm)],[])).
% 13.91/9.12 tff(3143,axiom,(nextState(constB39, constB40)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_39')).
% 13.91/9.12 tff(3144,plain,
% 13.91/9.12 (nextState(constB39, constB40)),
% 13.91/9.12 inference(modus_ponens,[status(thm)],[3143, 3142])).
% 13.91/9.12 tff(3145,plain,
% 13.91/9.12 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB39, constB40)) | (v100(constB40) <=> (~((~v101(constB40)) | (~v110(constB40))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB39, constB40)) | (v100(constB40) <=> (~((~v101(constB40)) | (~v110(constB40))))))),
% 13.91/9.12 inference(rewrite,[status(thm)],[])).
% 13.91/9.12 tff(3146,plain,
% 13.91/9.12 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB39, constB40)) | (v100(constB40) <=> (~((~v101(constB40)) | (~v110(constB40))))))),
% 13.91/9.12 inference(quant_inst,[status(thm)],[])).
% 13.91/9.12 tff(3147,plain,
% 13.91/9.12 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB39, constB40)) | (v100(constB40) <=> (~((~v101(constB40)) | (~v110(constB40)))))),
% 13.91/9.12 inference(modus_ponens,[status(thm)],[3146, 3145])).
% 13.91/9.12 tff(3148,plain,
% 13.91/9.12 (v100(constB40) <=> (~((~v101(constB40)) | (~v110(constB40))))),
% 13.91/9.12 inference(unit_resolution,[status(thm)],[3147, 3144, 430])).
% 13.91/9.12 tff(3149,plain,
% 13.91/9.12 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB39, constB40)) | (v101(constB40) <=> (~((~v1(constB40)) | (~v102(constB40))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB39, constB40)) | (v101(constB40) <=> (~((~v1(constB40)) | (~v102(constB40))))))),
% 13.91/9.12 inference(rewrite,[status(thm)],[])).
% 13.91/9.12 tff(3150,plain,
% 13.91/9.12 (((~nextState(constB39, constB40)) | (v101(constB40) <=> (~((~v102(constB40)) | (~v1(constB40)))))) <=> ((~nextState(constB39, constB40)) | (v101(constB40) <=> (~((~v1(constB40)) | (~v102(constB40))))))),
% 13.91/9.12 inference(rewrite,[status(thm)],[])).
% 13.91/9.12 tff(3151,plain,
% 13.91/9.12 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB39, constB40)) | (v101(constB40) <=> (~((~v102(constB40)) | (~v1(constB40))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB39, constB40)) | (v101(constB40) <=> (~((~v1(constB40)) | (~v102(constB40)))))))),
% 13.91/9.12 inference(monotonicity,[status(thm)],[3150])).
% 13.91/9.12 tff(3152,plain,
% 13.91/9.12 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB39, constB40)) | (v101(constB40) <=> (~((~v102(constB40)) | (~v1(constB40))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB39, constB40)) | (v101(constB40) <=> (~((~v1(constB40)) | (~v102(constB40))))))),
% 13.91/9.12 inference(transitivity,[status(thm)],[3151, 3149])).
% 13.91/9.12 tff(3153,plain,
% 13.91/9.12 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB39, constB40)) | (v101(constB40) <=> (~((~v102(constB40)) | (~v1(constB40))))))),
% 13.91/9.12 inference(quant_inst,[status(thm)],[])).
% 13.91/9.12 tff(3154,plain,
% 13.91/9.12 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB39, constB40)) | (v101(constB40) <=> (~((~v1(constB40)) | (~v102(constB40)))))),
% 13.91/9.12 inference(modus_ponens,[status(thm)],[3153, 3152])).
% 13.91/9.12 tff(3155,plain,
% 13.91/9.12 (v101(constB40) <=> (~((~v1(constB40)) | (~v102(constB40))))),
% 13.91/9.12 inference(unit_resolution,[status(thm)],[3154, 3144, 450])).
% 13.91/9.12 tff(3156,plain,
% 13.91/9.12 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | ((~nextState(constB39, constB40)) | ((~v102(constB40)) <=> v104(constB40)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | (~nextState(constB39, constB40)) | ((~v102(constB40)) <=> v104(constB40)))),
% 13.91/9.12 inference(rewrite,[status(thm)],[])).
% 13.91/9.12 tff(3157,plain,
% 13.91/9.12 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | ((~nextState(constB39, constB40)) | ((~v102(constB40)) <=> v104(constB40)))),
% 13.91/9.12 inference(quant_inst,[status(thm)],[])).
% 13.91/9.12 tff(3158,plain,
% 13.91/9.12 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | (~nextState(constB39, constB40)) | ((~v102(constB40)) <=> v104(constB40))),
% 13.91/9.12 inference(modus_ponens,[status(thm)],[3157, 3156])).
% 13.91/9.12 tff(3159,plain,
% 13.91/9.12 ((~v102(constB40)) <=> v104(constB40)),
% 13.91/9.12 inference(unit_resolution,[status(thm)],[3158, 3144, 512])).
% 13.91/9.12 tff(3160,plain,
% 13.91/9.12 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB39, constB40)) | (v104(constB40) <=> v1(constB39)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | (~nextState(constB39, constB40)) | (v104(constB40) <=> v1(constB39)))),
% 13.91/9.12 inference(rewrite,[status(thm)],[])).
% 13.91/9.12 tff(3161,plain,
% 13.91/9.12 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB39, constB40)) | (v104(constB40) <=> v1(constB39)))),
% 13.91/9.12 inference(quant_inst,[status(thm)],[])).
% 13.91/9.12 tff(3162,plain,
% 13.91/9.12 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | (~nextState(constB39, constB40)) | (v104(constB40) <=> v1(constB39))),
% 13.91/9.12 inference(modus_ponens,[status(thm)],[3161, 3160])).
% 13.91/9.12 tff(3163,plain,
% 13.91/9.12 (v104(constB40) <=> v1(constB39)),
% 13.91/9.12 inference(unit_resolution,[status(thm)],[3162, 3144, 526])).
% 13.91/9.12 tff(3164,plain,
% 13.91/9.12 ((~v1(constB39)) <=> (~v1(constB39))),
% 13.91/9.12 inference(rewrite,[status(thm)],[])).
% 13.91/9.12 tff(3165,axiom,(~v1(constB39)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_39')).
% 13.91/9.12 tff(3166,plain,
% 13.91/9.12 (~v1(constB39)),
% 13.91/9.12 inference(modus_ponens,[status(thm)],[3165, 3164])).
% 13.91/9.12 tff(3167,plain,
% 13.91/9.12 ((~(v104(constB40) <=> v1(constB39))) | (~v104(constB40)) | v1(constB39)),
% 13.91/9.12 inference(tautology,[status(thm)],[])).
% 13.91/9.12 tff(3168,plain,
% 13.91/9.12 ((~(v104(constB40) <=> v1(constB39))) | (~v104(constB40))),
% 13.91/9.12 inference(unit_resolution,[status(thm)],[3167, 3166])).
% 13.91/9.12 tff(3169,plain,
% 13.91/9.12 (~v104(constB40)),
% 13.91/9.12 inference(unit_resolution,[status(thm)],[3168, 3163])).
% 13.91/9.12 tff(3170,plain,
% 13.91/9.12 ((~((~v102(constB40)) <=> v104(constB40))) | v102(constB40) | v104(constB40)),
% 13.91/9.12 inference(tautology,[status(thm)],[])).
% 13.91/9.12 tff(3171,plain,
% 13.91/9.12 (v102(constB40)),
% 13.91/9.12 inference(unit_resolution,[status(thm)],[3170, 3169, 3159])).
% 13.91/9.12 tff(3172,plain,
% 13.91/9.12 (v1(constB40) <=> v1(constB40)),
% 13.91/9.12 inference(rewrite,[status(thm)],[])).
% 13.91/9.12 tff(3173,axiom,(v1(constB40)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_40')).
% 13.91/9.12 tff(3174,plain,
% 13.91/9.12 (v1(constB40)),
% 13.91/9.12 inference(modus_ponens,[status(thm)],[3173, 3172])).
% 13.91/9.12 tff(3175,plain,
% 13.91/9.12 ((~((~v1(constB40)) | (~v102(constB40)))) | (~v1(constB40)) | (~v102(constB40))),
% 13.91/9.12 inference(tautology,[status(thm)],[])).
% 13.91/9.12 tff(3176,plain,
% 13.91/9.12 ((~((~v1(constB40)) | (~v102(constB40)))) | (~v102(constB40))),
% 13.91/9.12 inference(unit_resolution,[status(thm)],[3175, 3174])).
% 13.91/9.12 tff(3177,plain,
% 13.91/9.12 (~((~v1(constB40)) | (~v102(constB40)))),
% 13.91/9.12 inference(unit_resolution,[status(thm)],[3176, 3171])).
% 13.91/9.12 tff(3178,plain,
% 13.91/9.12 ((~(v101(constB40) <=> (~((~v1(constB40)) | (~v102(constB40)))))) | v101(constB40) | ((~v1(constB40)) | (~v102(constB40)))),
% 13.91/9.12 inference(tautology,[status(thm)],[])).
% 13.91/9.12 tff(3179,plain,
% 13.91/9.12 (v101(constB40)),
% 13.91/9.12 inference(unit_resolution,[status(thm)],[3178, 3177, 3155])).
% 13.91/9.12 tff(3180,plain,
% 13.91/9.12 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | ((~nextState(constB39, constB40)) | (v110(constB40) <=> v108(constB39)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | (~nextState(constB39, constB40)) | (v110(constB40) <=> v108(constB39)))),
% 13.91/9.12 inference(rewrite,[status(thm)],[])).
% 13.91/9.12 tff(3181,plain,
% 13.91/9.12 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | ((~nextState(constB39, constB40)) | (v110(constB40) <=> v108(constB39)))),
% 13.91/9.12 inference(quant_inst,[status(thm)],[])).
% 13.91/9.12 tff(3182,plain,
% 13.91/9.12 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | (~nextState(constB39, constB40)) | (v110(constB40) <=> v108(constB39))),
% 13.91/9.12 inference(modus_ponens,[status(thm)],[3181, 3180])).
% 13.91/9.12 tff(3183,plain,
% 13.91/9.12 (v110(constB40) <=> v108(constB39)),
% 13.91/9.12 inference(unit_resolution,[status(thm)],[3182, 3144, 556])).
% 13.91/9.12 tff(3184,plain,
% 13.91/9.12 ((~![VarCurr: $i] : (v108(VarCurr) <=> (v111(VarCurr) | v112(VarCurr)))) | (v108(constB39) <=> (v111(constB39) | v112(constB39)))),
% 13.91/9.12 inference(quant_inst,[status(thm)],[])).
% 13.91/9.12 tff(3185,plain,
% 13.91/9.12 (v108(constB39) <=> (v111(constB39) | v112(constB39))),
% 13.91/9.12 inference(unit_resolution,[status(thm)],[3184, 567])).
% 13.91/9.12 tff(3186,plain,
% 13.91/9.12 ((~![VarCurr: $i] : (v112(VarCurr) <=> (~((~v113(VarCurr)) | (~v126(VarCurr)))))) | (v112(constB39) <=> (~((~v113(constB39)) | (~v126(constB39)))))),
% 13.91/9.12 inference(quant_inst,[status(thm)],[])).
% 13.91/9.12 tff(3187,plain,
% 13.91/9.12 (v112(constB39) <=> (~((~v113(constB39)) | (~v126(constB39))))),
% 13.91/9.12 inference(unit_resolution,[status(thm)],[3186, 579])).
% 13.91/9.12 tff(3188,plain,
% 13.91/9.12 ((~![VarCurr: $i] : (v113(VarCurr) <=> (v114(VarCurr) | v125(VarCurr)))) | (v113(constB39) <=> (v114(constB39) | v125(constB39)))),
% 13.91/9.12 inference(quant_inst,[status(thm)],[])).
% 13.91/9.12 tff(3189,plain,
% 13.91/9.12 (v113(constB39) <=> (v114(constB39) | v125(constB39))),
% 13.91/9.13 inference(unit_resolution,[status(thm)],[3188, 588])).
% 13.91/9.13 tff(3190,plain,
% 13.91/9.13 ((~![VarCurr: $i] : (v114(VarCurr) <=> (v115(VarCurr) | v124(VarCurr)))) | (v114(constB39) <=> (v115(constB39) | v124(constB39)))),
% 13.91/9.13 inference(quant_inst,[status(thm)],[])).
% 13.91/9.13 tff(3191,plain,
% 13.91/9.13 (v114(constB39) <=> (v115(constB39) | v124(constB39))),
% 13.91/9.13 inference(unit_resolution,[status(thm)],[3190, 597])).
% 13.91/9.13 tff(3192,plain,
% 13.91/9.13 ((~![VarCurr: $i] : (v115(VarCurr) <=> (v116(VarCurr) | v123(VarCurr)))) | (v115(constB39) <=> (v116(constB39) | v123(constB39)))),
% 13.91/9.13 inference(quant_inst,[status(thm)],[])).
% 13.91/9.13 tff(3193,plain,
% 13.91/9.13 (v115(constB39) <=> (v116(constB39) | v123(constB39))),
% 13.91/9.13 inference(unit_resolution,[status(thm)],[3192, 606])).
% 13.91/9.13 tff(3194,plain,
% 13.91/9.13 ((~![VarCurr: $i] : (v116(VarCurr) <=> (v117(VarCurr) | v122(VarCurr)))) | (v116(constB39) <=> (v117(constB39) | v122(constB39)))),
% 13.91/9.13 inference(quant_inst,[status(thm)],[])).
% 13.91/9.13 tff(3195,plain,
% 13.91/9.13 (v116(constB39) <=> (v117(constB39) | v122(constB39))),
% 13.91/9.13 inference(unit_resolution,[status(thm)],[3194, 719])).
% 13.91/9.13 tff(3196,plain,
% 13.91/9.13 ((~![VarCurr: $i] : (v117(VarCurr) <=> (v118(VarCurr) | v121(VarCurr)))) | (v117(constB39) <=> (v118(constB39) | v121(constB39)))),
% 13.91/9.13 inference(quant_inst,[status(thm)],[])).
% 13.91/9.13 tff(3197,plain,
% 13.91/9.13 (v117(constB39) <=> (v118(constB39) | v121(constB39))),
% 13.91/9.13 inference(unit_resolution,[status(thm)],[3196, 834])).
% 13.91/9.13 tff(3198,plain,
% 13.91/9.13 (((~![VarCurr: $i] : (v121(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex1)))))) | (v121(constB39) <=> (~(v90(constB39, bitIndex2) | (~v90(constB39, bitIndex1)) | v90(constB39, bitIndex0))))) <=> ((~![VarCurr: $i] : (v121(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex1)))))) | (v121(constB39) <=> (~(v90(constB39, bitIndex2) | (~v90(constB39, bitIndex1)) | v90(constB39, bitIndex0)))))),
% 13.91/9.13 inference(rewrite,[status(thm)],[])).
% 13.91/9.13 tff(3199,plain,
% 13.91/9.13 ((v121(constB39) <=> (~(v90(constB39, bitIndex0) | v90(constB39, bitIndex2) | (~v90(constB39, bitIndex1))))) <=> (v121(constB39) <=> (~(v90(constB39, bitIndex2) | (~v90(constB39, bitIndex1)) | v90(constB39, bitIndex0))))),
% 13.91/9.13 inference(rewrite,[status(thm)],[])).
% 13.91/9.13 tff(3200,plain,
% 13.91/9.13 (((~![VarCurr: $i] : (v121(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex1)))))) | (v121(constB39) <=> (~(v90(constB39, bitIndex0) | v90(constB39, bitIndex2) | (~v90(constB39, bitIndex1)))))) <=> ((~![VarCurr: $i] : (v121(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex1)))))) | (v121(constB39) <=> (~(v90(constB39, bitIndex2) | (~v90(constB39, bitIndex1)) | v90(constB39, bitIndex0)))))),
% 13.91/9.13 inference(monotonicity,[status(thm)],[3199])).
% 13.91/9.13 tff(3201,plain,
% 13.91/9.13 (((~![VarCurr: $i] : (v121(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex1)))))) | (v121(constB39) <=> (~(v90(constB39, bitIndex0) | v90(constB39, bitIndex2) | (~v90(constB39, bitIndex1)))))) <=> ((~![VarCurr: $i] : (v121(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex1)))))) | (v121(constB39) <=> (~(v90(constB39, bitIndex2) | (~v90(constB39, bitIndex1)) | v90(constB39, bitIndex0)))))),
% 13.91/9.13 inference(transitivity,[status(thm)],[3200, 3198])).
% 13.91/9.13 tff(3202,plain,
% 13.91/9.13 ((~![VarCurr: $i] : (v121(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex1)))))) | (v121(constB39) <=> (~(v90(constB39, bitIndex0) | v90(constB39, bitIndex2) | (~v90(constB39, bitIndex1)))))),
% 13.91/9.13 inference(quant_inst,[status(thm)],[])).
% 13.91/9.13 tff(3203,plain,
% 13.91/9.13 ((~![VarCurr: $i] : (v121(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex1)))))) | (v121(constB39) <=> (~(v90(constB39, bitIndex2) | (~v90(constB39, bitIndex1)) | v90(constB39, bitIndex0))))),
% 13.91/9.13 inference(modus_ponens,[status(thm)],[3202, 3201])).
% 13.91/9.13 tff(3204,plain,
% 13.91/9.13 (v121(constB39) <=> (~(v90(constB39, bitIndex2) | (~v90(constB39, bitIndex1)) | v90(constB39, bitIndex0)))),
% 13.91/9.13 inference(unit_resolution,[status(thm)],[3203, 849])).
% 13.91/9.13 tff(3205,plain,
% 13.91/9.13 (nextState(constB38, constB39) <=> nextState(constB38, constB39)),
% 13.91/9.13 inference(rewrite,[status(thm)],[])).
% 13.91/9.13 tff(3206,axiom,(nextState(constB38, constB39)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_38')).
% 13.91/9.13 tff(3207,plain,
% 13.91/9.13 (nextState(constB38, constB39)),
% 13.91/9.13 inference(modus_ponens,[status(thm)],[3206, 3205])).
% 13.91/9.13 tff(3208,plain,
% 13.91/9.13 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB38, constB39)) | (v100(constB39) <=> (~((~v101(constB39)) | (~v110(constB39))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB38, constB39)) | (v100(constB39) <=> (~((~v101(constB39)) | (~v110(constB39))))))),
% 13.91/9.13 inference(rewrite,[status(thm)],[])).
% 13.91/9.13 tff(3209,plain,
% 13.91/9.13 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB38, constB39)) | (v100(constB39) <=> (~((~v101(constB39)) | (~v110(constB39))))))),
% 13.91/9.13 inference(quant_inst,[status(thm)],[])).
% 13.91/9.13 tff(3210,plain,
% 13.91/9.13 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB38, constB39)) | (v100(constB39) <=> (~((~v101(constB39)) | (~v110(constB39)))))),
% 13.91/9.13 inference(modus_ponens,[status(thm)],[3209, 3208])).
% 13.91/9.13 tff(3211,plain,
% 13.91/9.13 (v100(constB39) <=> (~((~v101(constB39)) | (~v110(constB39))))),
% 13.91/9.13 inference(unit_resolution,[status(thm)],[3210, 3207, 430])).
% 13.91/9.13 tff(3212,plain,
% 13.91/9.13 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB38, constB39)) | (v101(constB39) <=> (~((~v1(constB39)) | (~v102(constB39))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB38, constB39)) | (v101(constB39) <=> (~((~v1(constB39)) | (~v102(constB39))))))),
% 13.91/9.13 inference(rewrite,[status(thm)],[])).
% 13.91/9.13 tff(3213,plain,
% 13.91/9.13 (((~nextState(constB38, constB39)) | (v101(constB39) <=> (~((~v102(constB39)) | (~v1(constB39)))))) <=> ((~nextState(constB38, constB39)) | (v101(constB39) <=> (~((~v1(constB39)) | (~v102(constB39))))))),
% 13.91/9.13 inference(rewrite,[status(thm)],[])).
% 13.91/9.13 tff(3214,plain,
% 13.91/9.13 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB38, constB39)) | (v101(constB39) <=> (~((~v102(constB39)) | (~v1(constB39))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB38, constB39)) | (v101(constB39) <=> (~((~v1(constB39)) | (~v102(constB39)))))))),
% 13.91/9.13 inference(monotonicity,[status(thm)],[3213])).
% 13.91/9.13 tff(3215,plain,
% 13.91/9.13 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB38, constB39)) | (v101(constB39) <=> (~((~v102(constB39)) | (~v1(constB39))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB38, constB39)) | (v101(constB39) <=> (~((~v1(constB39)) | (~v102(constB39))))))),
% 13.91/9.13 inference(transitivity,[status(thm)],[3214, 3212])).
% 13.91/9.13 tff(3216,plain,
% 13.91/9.13 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB38, constB39)) | (v101(constB39) <=> (~((~v102(constB39)) | (~v1(constB39))))))),
% 13.91/9.13 inference(quant_inst,[status(thm)],[])).
% 13.91/9.13 tff(3217,plain,
% 13.91/9.13 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB38, constB39)) | (v101(constB39) <=> (~((~v1(constB39)) | (~v102(constB39)))))),
% 13.91/9.13 inference(modus_ponens,[status(thm)],[3216, 3215])).
% 13.91/9.13 tff(3218,plain,
% 13.91/9.13 (v101(constB39) <=> (~((~v1(constB39)) | (~v102(constB39))))),
% 13.91/9.13 inference(unit_resolution,[status(thm)],[3217, 3207, 450])).
% 13.91/9.13 tff(3219,plain,
% 13.91/9.13 (((~v1(constB39)) | (~v102(constB39))) | v1(constB39)),
% 13.91/9.13 inference(tautology,[status(thm)],[])).
% 13.91/9.13 tff(3220,plain,
% 13.91/9.13 ((~v1(constB39)) | (~v102(constB39))),
% 13.91/9.13 inference(unit_resolution,[status(thm)],[3219, 3166])).
% 13.91/9.13 tff(3221,plain,
% 13.91/9.13 ((~(v101(constB39) <=> (~((~v1(constB39)) | (~v102(constB39)))))) | (~v101(constB39)) | (~((~v1(constB39)) | (~v102(constB39))))),
% 13.91/9.13 inference(tautology,[status(thm)],[])).
% 13.91/9.13 tff(3222,plain,
% 13.91/9.13 ((~(v101(constB39) <=> (~((~v1(constB39)) | (~v102(constB39)))))) | (~v101(constB39))),
% 13.91/9.13 inference(unit_resolution,[status(thm)],[3221, 3220])).
% 13.91/9.13 tff(3223,plain,
% 13.91/9.13 (~v101(constB39)),
% 13.91/9.13 inference(unit_resolution,[status(thm)],[3222, 3218])).
% 13.91/9.13 tff(3224,plain,
% 13.91/9.13 (((~v101(constB39)) | (~v110(constB39))) | v101(constB39)),
% 13.91/9.13 inference(tautology,[status(thm)],[])).
% 13.91/9.13 tff(3225,plain,
% 13.91/9.13 ((~v101(constB39)) | (~v110(constB39))),
% 13.91/9.13 inference(unit_resolution,[status(thm)],[3224, 3223])).
% 13.91/9.13 tff(3226,plain,
% 13.91/9.13 ((~(v100(constB39) <=> (~((~v101(constB39)) | (~v110(constB39)))))) | (~v100(constB39)) | (~((~v101(constB39)) | (~v110(constB39))))),
% 13.91/9.13 inference(tautology,[status(thm)],[])).
% 13.91/9.13 tff(3227,plain,
% 13.91/9.13 (~v100(constB39)),
% 13.91/9.13 inference(unit_resolution,[status(thm)],[3226, 3225, 3211])).
% 13.91/9.13 tff(3228,plain,
% 13.91/9.13 (((~![VarCurr: $i, VarNext: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v90(VarCurr, B))))) | (v100(constB39) | (~nextState(constB38, constB39)) | ![B: $i] : ((~less_3(B)) | (v90(constB39, B) <=> v90(constB38, B))))) <=> ((~![VarCurr: $i, VarNext: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v90(VarCurr, B))))) | v100(constB39) | (~nextState(constB38, constB39)) | ![B: $i] : ((~less_3(B)) | (v90(constB39, B) <=> v90(constB38, B))))),
% 13.91/9.13 inference(rewrite,[status(thm)],[])).
% 13.91/9.13 tff(3229,plain,
% 13.91/9.13 ((~![VarCurr: $i, VarNext: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v90(VarCurr, B))))) | (v100(constB39) | (~nextState(constB38, constB39)) | ![B: $i] : ((~less_3(B)) | (v90(constB39, B) <=> v90(constB38, B))))),
% 13.91/9.13 inference(quant_inst,[status(thm)],[])).
% 13.91/9.13 tff(3230,plain,
% 13.91/9.13 ((~![VarCurr: $i, VarNext: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v90(VarCurr, B))))) | v100(constB39) | (~nextState(constB38, constB39)) | ![B: $i] : ((~less_3(B)) | (v90(constB39, B) <=> v90(constB38, B)))),
% 13.91/9.13 inference(modus_ponens,[status(thm)],[3229, 3228])).
% 13.91/9.13 tff(3231,plain,
% 13.91/9.13 (v100(constB39) | ![B: $i] : ((~less_3(B)) | (v90(constB39, B) <=> v90(constB38, B)))),
% 13.91/9.13 inference(unit_resolution,[status(thm)],[3230, 3207, 479])).
% 13.91/9.13 tff(3232,plain,
% 13.91/9.13 (![B: $i] : ((~less_3(B)) | (v90(constB39, B) <=> v90(constB38, B)))),
% 13.91/9.13 inference(unit_resolution,[status(thm)],[3231, 3227])).
% 13.91/9.13 tff(3233,plain,
% 13.91/9.13 (((~![B: $i] : ((~less_3(B)) | (v90(constB39, B) <=> v90(constB38, B)))) | ((~less_3(bitIndex2)) | (v90(constB39, bitIndex2) <=> v90(constB38, bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v90(constB39, B) <=> v90(constB38, B)))) | (~less_3(bitIndex2)) | (v90(constB39, bitIndex2) <=> v90(constB38, bitIndex2)))),
% 13.91/9.13 inference(rewrite,[status(thm)],[])).
% 13.91/9.13 tff(3234,plain,
% 13.91/9.13 ((~![B: $i] : ((~less_3(B)) | (v90(constB39, B) <=> v90(constB38, B)))) | ((~less_3(bitIndex2)) | (v90(constB39, bitIndex2) <=> v90(constB38, bitIndex2)))),
% 13.91/9.13 inference(quant_inst,[status(thm)],[])).
% 13.91/9.13 tff(3235,plain,
% 13.91/9.13 ((~![B: $i] : ((~less_3(B)) | (v90(constB39, B) <=> v90(constB38, B)))) | (~less_3(bitIndex2)) | (v90(constB39, bitIndex2) <=> v90(constB38, bitIndex2))),
% 13.91/9.13 inference(modus_ponens,[status(thm)],[3234, 3233])).
% 13.91/9.13 tff(3236,plain,
% 13.91/9.13 (v90(constB39, bitIndex2) <=> v90(constB38, bitIndex2)),
% 13.91/9.13 inference(unit_resolution,[status(thm)],[3235, 413, 3232])).
% 13.91/9.13 tff(3237,plain,
% 13.91/9.13 (nextState(constB37, constB38) <=> nextState(constB37, constB38)),
% 13.91/9.13 inference(rewrite,[status(thm)],[])).
% 13.91/9.13 tff(3238,axiom,(nextState(constB37, constB38)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_37')).
% 13.91/9.13 tff(3239,plain,
% 13.91/9.13 (nextState(constB37, constB38)),
% 13.91/9.13 inference(modus_ponens,[status(thm)],[3238, 3237])).
% 13.91/9.13 tff(3240,plain,
% 13.91/9.13 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB37, constB38)) | (v100(constB38) <=> (~((~v101(constB38)) | (~v110(constB38))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB37, constB38)) | (v100(constB38) <=> (~((~v101(constB38)) | (~v110(constB38))))))),
% 13.91/9.13 inference(rewrite,[status(thm)],[])).
% 13.91/9.13 tff(3241,plain,
% 13.91/9.13 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB37, constB38)) | (v100(constB38) <=> (~((~v101(constB38)) | (~v110(constB38))))))),
% 13.91/9.13 inference(quant_inst,[status(thm)],[])).
% 13.91/9.13 tff(3242,plain,
% 13.91/9.13 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB37, constB38)) | (v100(constB38) <=> (~((~v101(constB38)) | (~v110(constB38)))))),
% 13.91/9.13 inference(modus_ponens,[status(thm)],[3241, 3240])).
% 13.91/9.13 tff(3243,plain,
% 13.91/9.13 (v100(constB38) <=> (~((~v101(constB38)) | (~v110(constB38))))),
% 13.91/9.13 inference(unit_resolution,[status(thm)],[3242, 3239, 430])).
% 13.91/9.13 tff(3244,plain,
% 13.91/9.13 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB37, constB38)) | (v101(constB38) <=> (~((~v1(constB38)) | (~v102(constB38))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB37, constB38)) | (v101(constB38) <=> (~((~v1(constB38)) | (~v102(constB38))))))),
% 13.91/9.13 inference(rewrite,[status(thm)],[])).
% 13.91/9.13 tff(3245,plain,
% 13.91/9.13 (((~nextState(constB37, constB38)) | (v101(constB38) <=> (~((~v102(constB38)) | (~v1(constB38)))))) <=> ((~nextState(constB37, constB38)) | (v101(constB38) <=> (~((~v1(constB38)) | (~v102(constB38))))))),
% 13.91/9.13 inference(rewrite,[status(thm)],[])).
% 13.91/9.13 tff(3246,plain,
% 13.91/9.13 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB37, constB38)) | (v101(constB38) <=> (~((~v102(constB38)) | (~v1(constB38))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB37, constB38)) | (v101(constB38) <=> (~((~v1(constB38)) | (~v102(constB38)))))))),
% 13.91/9.13 inference(monotonicity,[status(thm)],[3245])).
% 13.91/9.13 tff(3247,plain,
% 13.91/9.13 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB37, constB38)) | (v101(constB38) <=> (~((~v102(constB38)) | (~v1(constB38))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB37, constB38)) | (v101(constB38) <=> (~((~v1(constB38)) | (~v102(constB38))))))),
% 13.91/9.13 inference(transitivity,[status(thm)],[3246, 3244])).
% 13.91/9.13 tff(3248,plain,
% 13.91/9.13 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB37, constB38)) | (v101(constB38) <=> (~((~v102(constB38)) | (~v1(constB38))))))),
% 13.91/9.13 inference(quant_inst,[status(thm)],[])).
% 13.91/9.13 tff(3249,plain,
% 13.91/9.13 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB37, constB38)) | (v101(constB38) <=> (~((~v1(constB38)) | (~v102(constB38)))))),
% 13.91/9.13 inference(modus_ponens,[status(thm)],[3248, 3247])).
% 13.91/9.13 tff(3250,plain,
% 13.91/9.13 (v101(constB38) <=> (~((~v1(constB38)) | (~v102(constB38))))),
% 13.91/9.13 inference(unit_resolution,[status(thm)],[3249, 3239, 450])).
% 13.91/9.13 tff(3251,plain,
% 13.91/9.13 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | ((~nextState(constB37, constB38)) | ((~v102(constB38)) <=> v104(constB38)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | (~nextState(constB37, constB38)) | ((~v102(constB38)) <=> v104(constB38)))),
% 13.91/9.13 inference(rewrite,[status(thm)],[])).
% 13.91/9.13 tff(3252,plain,
% 13.91/9.13 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | ((~nextState(constB37, constB38)) | ((~v102(constB38)) <=> v104(constB38)))),
% 13.91/9.13 inference(quant_inst,[status(thm)],[])).
% 13.91/9.13 tff(3253,plain,
% 13.91/9.13 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | (~nextState(constB37, constB38)) | ((~v102(constB38)) <=> v104(constB38))),
% 13.91/9.13 inference(modus_ponens,[status(thm)],[3252, 3251])).
% 13.91/9.13 tff(3254,plain,
% 13.91/9.13 ((~v102(constB38)) <=> v104(constB38)),
% 13.91/9.13 inference(unit_resolution,[status(thm)],[3253, 3239, 512])).
% 13.91/9.13 tff(3255,plain,
% 13.91/9.13 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB37, constB38)) | (v104(constB38) <=> v1(constB37)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | (~nextState(constB37, constB38)) | (v104(constB38) <=> v1(constB37)))),
% 13.91/9.13 inference(rewrite,[status(thm)],[])).
% 13.91/9.13 tff(3256,plain,
% 13.91/9.13 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB37, constB38)) | (v104(constB38) <=> v1(constB37)))),
% 13.91/9.13 inference(quant_inst,[status(thm)],[])).
% 13.91/9.13 tff(3257,plain,
% 13.91/9.13 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | (~nextState(constB37, constB38)) | (v104(constB38) <=> v1(constB37))),
% 13.91/9.13 inference(modus_ponens,[status(thm)],[3256, 3255])).
% 13.91/9.13 tff(3258,plain,
% 13.91/9.13 (v104(constB38) <=> v1(constB37)),
% 13.91/9.13 inference(unit_resolution,[status(thm)],[3257, 3239, 526])).
% 13.91/9.13 tff(3259,plain,
% 13.91/9.13 ((~v1(constB37)) <=> (~v1(constB37))),
% 13.91/9.13 inference(rewrite,[status(thm)],[])).
% 13.91/9.13 tff(3260,axiom,(~v1(constB37)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_37')).
% 13.91/9.13 tff(3261,plain,
% 13.91/9.13 (~v1(constB37)),
% 13.91/9.13 inference(modus_ponens,[status(thm)],[3260, 3259])).
% 13.91/9.13 tff(3262,plain,
% 13.91/9.13 ((~(v104(constB38) <=> v1(constB37))) | (~v104(constB38)) | v1(constB37)),
% 13.91/9.13 inference(tautology,[status(thm)],[])).
% 13.91/9.13 tff(3263,plain,
% 13.91/9.13 ((~(v104(constB38) <=> v1(constB37))) | (~v104(constB38))),
% 13.91/9.13 inference(unit_resolution,[status(thm)],[3262, 3261])).
% 13.91/9.13 tff(3264,plain,
% 13.91/9.13 (~v104(constB38)),
% 13.91/9.13 inference(unit_resolution,[status(thm)],[3263, 3258])).
% 13.91/9.13 tff(3265,plain,
% 13.91/9.13 ((~((~v102(constB38)) <=> v104(constB38))) | v102(constB38) | v104(constB38)),
% 13.91/9.13 inference(tautology,[status(thm)],[])).
% 13.91/9.13 tff(3266,plain,
% 13.91/9.13 (v102(constB38)),
% 13.91/9.13 inference(unit_resolution,[status(thm)],[3265, 3264, 3254])).
% 13.91/9.13 tff(3267,plain,
% 13.91/9.13 (v1(constB38) <=> v1(constB38)),
% 13.91/9.13 inference(rewrite,[status(thm)],[])).
% 13.91/9.13 tff(3268,axiom,(v1(constB38)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_38')).
% 13.91/9.13 tff(3269,plain,
% 13.91/9.13 (v1(constB38)),
% 13.91/9.13 inference(modus_ponens,[status(thm)],[3268, 3267])).
% 13.91/9.13 tff(3270,plain,
% 13.91/9.13 ((~((~v1(constB38)) | (~v102(constB38)))) | (~v1(constB38)) | (~v102(constB38))),
% 13.91/9.13 inference(tautology,[status(thm)],[])).
% 13.91/9.13 tff(3271,plain,
% 13.91/9.13 ((~((~v1(constB38)) | (~v102(constB38)))) | (~v102(constB38))),
% 13.91/9.13 inference(unit_resolution,[status(thm)],[3270, 3269])).
% 13.91/9.13 tff(3272,plain,
% 13.91/9.13 (~((~v1(constB38)) | (~v102(constB38)))),
% 13.91/9.13 inference(unit_resolution,[status(thm)],[3271, 3266])).
% 13.91/9.13 tff(3273,plain,
% 13.91/9.13 ((~(v101(constB38) <=> (~((~v1(constB38)) | (~v102(constB38)))))) | v101(constB38) | ((~v1(constB38)) | (~v102(constB38)))),
% 13.91/9.13 inference(tautology,[status(thm)],[])).
% 13.91/9.14 tff(3274,plain,
% 13.91/9.14 (v101(constB38)),
% 13.91/9.14 inference(unit_resolution,[status(thm)],[3273, 3272, 3250])).
% 13.91/9.14 tff(3275,plain,
% 13.91/9.14 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | ((~nextState(constB37, constB38)) | (v110(constB38) <=> v108(constB37)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | (~nextState(constB37, constB38)) | (v110(constB38) <=> v108(constB37)))),
% 13.91/9.14 inference(rewrite,[status(thm)],[])).
% 13.91/9.14 tff(3276,plain,
% 13.91/9.14 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | ((~nextState(constB37, constB38)) | (v110(constB38) <=> v108(constB37)))),
% 13.91/9.14 inference(quant_inst,[status(thm)],[])).
% 13.91/9.14 tff(3277,plain,
% 13.91/9.14 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | (~nextState(constB37, constB38)) | (v110(constB38) <=> v108(constB37))),
% 13.91/9.14 inference(modus_ponens,[status(thm)],[3276, 3275])).
% 13.91/9.14 tff(3278,plain,
% 13.91/9.14 (v110(constB38) <=> v108(constB37)),
% 13.91/9.14 inference(unit_resolution,[status(thm)],[3277, 3239, 556])).
% 13.91/9.14 tff(3279,plain,
% 13.91/9.14 ((~![VarCurr: $i] : (v108(VarCurr) <=> (v111(VarCurr) | v112(VarCurr)))) | (v108(constB37) <=> (v111(constB37) | v112(constB37)))),
% 13.91/9.14 inference(quant_inst,[status(thm)],[])).
% 13.91/9.14 tff(3280,plain,
% 13.91/9.14 (v108(constB37) <=> (v111(constB37) | v112(constB37))),
% 13.91/9.14 inference(unit_resolution,[status(thm)],[3279, 567])).
% 13.91/9.14 tff(3281,plain,
% 13.91/9.14 ((~![VarCurr: $i] : (v112(VarCurr) <=> (~((~v113(VarCurr)) | (~v126(VarCurr)))))) | (v112(constB37) <=> (~((~v113(constB37)) | (~v126(constB37)))))),
% 13.91/9.14 inference(quant_inst,[status(thm)],[])).
% 13.91/9.14 tff(3282,plain,
% 13.91/9.14 (v112(constB37) <=> (~((~v113(constB37)) | (~v126(constB37))))),
% 13.91/9.14 inference(unit_resolution,[status(thm)],[3281, 579])).
% 13.91/9.14 tff(3283,plain,
% 13.91/9.14 ((~![VarCurr: $i] : (v113(VarCurr) <=> (v114(VarCurr) | v125(VarCurr)))) | (v113(constB37) <=> (v114(constB37) | v125(constB37)))),
% 13.91/9.14 inference(quant_inst,[status(thm)],[])).
% 13.91/9.14 tff(3284,plain,
% 13.91/9.14 (v113(constB37) <=> (v114(constB37) | v125(constB37))),
% 13.91/9.14 inference(unit_resolution,[status(thm)],[3283, 588])).
% 13.91/9.14 tff(3285,plain,
% 13.91/9.14 ((~![VarCurr: $i] : (v114(VarCurr) <=> (v115(VarCurr) | v124(VarCurr)))) | (v114(constB37) <=> (v115(constB37) | v124(constB37)))),
% 13.91/9.14 inference(quant_inst,[status(thm)],[])).
% 13.91/9.14 tff(3286,plain,
% 13.91/9.14 (v114(constB37) <=> (v115(constB37) | v124(constB37))),
% 13.91/9.14 inference(unit_resolution,[status(thm)],[3285, 597])).
% 13.91/9.14 tff(3287,plain,
% 13.91/9.14 ((~![VarCurr: $i] : (v115(VarCurr) <=> (v116(VarCurr) | v123(VarCurr)))) | (v115(constB37) <=> (v116(constB37) | v123(constB37)))),
% 13.91/9.14 inference(quant_inst,[status(thm)],[])).
% 13.91/9.14 tff(3288,plain,
% 13.91/9.14 (v115(constB37) <=> (v116(constB37) | v123(constB37))),
% 13.91/9.14 inference(unit_resolution,[status(thm)],[3287, 606])).
% 13.91/9.14 tff(3289,plain,
% 13.91/9.14 ((~![VarCurr: $i] : (v116(VarCurr) <=> (v117(VarCurr) | v122(VarCurr)))) | (v116(constB37) <=> (v117(constB37) | v122(constB37)))),
% 13.91/9.14 inference(quant_inst,[status(thm)],[])).
% 13.91/9.14 tff(3290,plain,
% 13.91/9.14 (v116(constB37) <=> (v117(constB37) | v122(constB37))),
% 13.91/9.14 inference(unit_resolution,[status(thm)],[3289, 719])).
% 13.91/9.14 tff(3291,plain,
% 13.91/9.14 ((~![VarCurr: $i] : (v117(VarCurr) <=> (v118(VarCurr) | v121(VarCurr)))) | (v117(constB37) <=> (v118(constB37) | v121(constB37)))),
% 13.91/9.14 inference(quant_inst,[status(thm)],[])).
% 13.91/9.14 tff(3292,plain,
% 13.91/9.14 (v117(constB37) <=> (v118(constB37) | v121(constB37))),
% 13.91/9.14 inference(unit_resolution,[status(thm)],[3291, 834])).
% 13.91/9.14 tff(3293,plain,
% 13.91/9.14 ((~![VarCurr: $i] : (v118(VarCurr) <=> (v119(VarCurr) | v120(VarCurr)))) | (v118(constB37) <=> (v119(constB37) | v120(constB37)))),
% 13.91/9.14 inference(quant_inst,[status(thm)],[])).
% 13.91/9.14 tff(3294,plain,
% 13.91/9.14 (v118(constB37) <=> (v119(constB37) | v120(constB37))),
% 13.91/9.14 inference(unit_resolution,[status(thm)],[3293, 951])).
% 13.91/9.14 tff(3295,plain,
% 13.91/9.14 (((~![VarCurr: $i] : (v120(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)))))) | (v120(constB37) <=> (~(v90(constB37, bitIndex2) | v90(constB37, bitIndex1) | (~v90(constB37, bitIndex0)))))) <=> ((~![VarCurr: $i] : (v120(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)))))) | (v120(constB37) <=> (~(v90(constB37, bitIndex2) | v90(constB37, bitIndex1) | (~v90(constB37, bitIndex0))))))),
% 13.91/9.14 inference(rewrite,[status(thm)],[])).
% 13.91/9.14 tff(3296,plain,
% 13.91/9.14 ((v120(constB37) <=> (~(v90(constB37, bitIndex1) | v90(constB37, bitIndex2) | (~v90(constB37, bitIndex0))))) <=> (v120(constB37) <=> (~(v90(constB37, bitIndex2) | v90(constB37, bitIndex1) | (~v90(constB37, bitIndex0)))))),
% 13.91/9.14 inference(rewrite,[status(thm)],[])).
% 13.91/9.14 tff(3297,plain,
% 13.91/9.14 (((~![VarCurr: $i] : (v120(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)))))) | (v120(constB37) <=> (~(v90(constB37, bitIndex1) | v90(constB37, bitIndex2) | (~v90(constB37, bitIndex0)))))) <=> ((~![VarCurr: $i] : (v120(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)))))) | (v120(constB37) <=> (~(v90(constB37, bitIndex2) | v90(constB37, bitIndex1) | (~v90(constB37, bitIndex0))))))),
% 13.91/9.14 inference(monotonicity,[status(thm)],[3296])).
% 13.91/9.14 tff(3298,plain,
% 13.91/9.14 (((~![VarCurr: $i] : (v120(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)))))) | (v120(constB37) <=> (~(v90(constB37, bitIndex1) | v90(constB37, bitIndex2) | (~v90(constB37, bitIndex0)))))) <=> ((~![VarCurr: $i] : (v120(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)))))) | (v120(constB37) <=> (~(v90(constB37, bitIndex2) | v90(constB37, bitIndex1) | (~v90(constB37, bitIndex0))))))),
% 13.91/9.14 inference(transitivity,[status(thm)],[3297, 3295])).
% 13.91/9.14 tff(3299,plain,
% 13.91/9.14 ((~![VarCurr: $i] : (v120(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)))))) | (v120(constB37) <=> (~(v90(constB37, bitIndex1) | v90(constB37, bitIndex2) | (~v90(constB37, bitIndex0)))))),
% 13.91/9.14 inference(quant_inst,[status(thm)],[])).
% 13.91/9.14 tff(3300,plain,
% 13.91/9.14 ((~![VarCurr: $i] : (v120(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)))))) | (v120(constB37) <=> (~(v90(constB37, bitIndex2) | v90(constB37, bitIndex1) | (~v90(constB37, bitIndex0)))))),
% 13.91/9.14 inference(modus_ponens,[status(thm)],[3299, 3298])).
% 13.91/9.14 tff(3301,plain,
% 13.91/9.14 (v120(constB37) <=> (~(v90(constB37, bitIndex2) | v90(constB37, bitIndex1) | (~v90(constB37, bitIndex0))))),
% 13.91/9.14 inference(unit_resolution,[status(thm)],[3300, 966])).
% 13.91/9.14 tff(3302,plain,
% 13.91/9.14 (nextState(constB36, constB37) <=> nextState(constB36, constB37)),
% 13.91/9.14 inference(rewrite,[status(thm)],[])).
% 13.91/9.14 tff(3303,axiom,(nextState(constB36, constB37)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_36')).
% 13.91/9.14 tff(3304,plain,
% 13.91/9.14 (nextState(constB36, constB37)),
% 13.91/9.14 inference(modus_ponens,[status(thm)],[3303, 3302])).
% 13.91/9.14 tff(3305,plain,
% 13.91/9.14 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB36, constB37)) | (v100(constB37) <=> (~((~v101(constB37)) | (~v110(constB37))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB36, constB37)) | (v100(constB37) <=> (~((~v101(constB37)) | (~v110(constB37))))))),
% 13.91/9.14 inference(rewrite,[status(thm)],[])).
% 13.91/9.14 tff(3306,plain,
% 13.91/9.14 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB36, constB37)) | (v100(constB37) <=> (~((~v101(constB37)) | (~v110(constB37))))))),
% 13.91/9.14 inference(quant_inst,[status(thm)],[])).
% 13.91/9.14 tff(3307,plain,
% 13.91/9.14 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB36, constB37)) | (v100(constB37) <=> (~((~v101(constB37)) | (~v110(constB37)))))),
% 13.91/9.14 inference(modus_ponens,[status(thm)],[3306, 3305])).
% 13.91/9.14 tff(3308,plain,
% 13.91/9.14 (v100(constB37) <=> (~((~v101(constB37)) | (~v110(constB37))))),
% 13.91/9.14 inference(unit_resolution,[status(thm)],[3307, 3304, 430])).
% 13.91/9.14 tff(3309,plain,
% 13.91/9.14 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB36, constB37)) | (v101(constB37) <=> (~((~v1(constB37)) | (~v102(constB37))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB36, constB37)) | (v101(constB37) <=> (~((~v1(constB37)) | (~v102(constB37))))))),
% 13.91/9.14 inference(rewrite,[status(thm)],[])).
% 13.91/9.14 tff(3310,plain,
% 13.91/9.14 (((~nextState(constB36, constB37)) | (v101(constB37) <=> (~((~v102(constB37)) | (~v1(constB37)))))) <=> ((~nextState(constB36, constB37)) | (v101(constB37) <=> (~((~v1(constB37)) | (~v102(constB37))))))),
% 13.91/9.14 inference(rewrite,[status(thm)],[])).
% 13.91/9.14 tff(3311,plain,
% 13.91/9.14 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB36, constB37)) | (v101(constB37) <=> (~((~v102(constB37)) | (~v1(constB37))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB36, constB37)) | (v101(constB37) <=> (~((~v1(constB37)) | (~v102(constB37)))))))),
% 13.91/9.14 inference(monotonicity,[status(thm)],[3310])).
% 13.91/9.14 tff(3312,plain,
% 13.91/9.14 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB36, constB37)) | (v101(constB37) <=> (~((~v102(constB37)) | (~v1(constB37))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB36, constB37)) | (v101(constB37) <=> (~((~v1(constB37)) | (~v102(constB37))))))),
% 13.91/9.14 inference(transitivity,[status(thm)],[3311, 3309])).
% 13.91/9.14 tff(3313,plain,
% 13.91/9.14 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB36, constB37)) | (v101(constB37) <=> (~((~v102(constB37)) | (~v1(constB37))))))),
% 13.91/9.14 inference(quant_inst,[status(thm)],[])).
% 13.91/9.14 tff(3314,plain,
% 13.91/9.14 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB36, constB37)) | (v101(constB37) <=> (~((~v1(constB37)) | (~v102(constB37)))))),
% 13.91/9.14 inference(modus_ponens,[status(thm)],[3313, 3312])).
% 13.91/9.14 tff(3315,plain,
% 13.91/9.14 (v101(constB37) <=> (~((~v1(constB37)) | (~v102(constB37))))),
% 13.91/9.14 inference(unit_resolution,[status(thm)],[3314, 3304, 450])).
% 13.91/9.14 tff(3316,plain,
% 13.91/9.14 (((~v1(constB37)) | (~v102(constB37))) | v1(constB37)),
% 13.91/9.14 inference(tautology,[status(thm)],[])).
% 13.91/9.14 tff(3317,plain,
% 13.91/9.14 ((~v1(constB37)) | (~v102(constB37))),
% 13.91/9.14 inference(unit_resolution,[status(thm)],[3316, 3261])).
% 13.91/9.14 tff(3318,plain,
% 13.91/9.14 ((~(v101(constB37) <=> (~((~v1(constB37)) | (~v102(constB37)))))) | (~v101(constB37)) | (~((~v1(constB37)) | (~v102(constB37))))),
% 13.91/9.14 inference(tautology,[status(thm)],[])).
% 13.91/9.14 tff(3319,plain,
% 13.91/9.14 ((~(v101(constB37) <=> (~((~v1(constB37)) | (~v102(constB37)))))) | (~v101(constB37))),
% 13.91/9.14 inference(unit_resolution,[status(thm)],[3318, 3317])).
% 13.91/9.14 tff(3320,plain,
% 13.91/9.14 (~v101(constB37)),
% 13.91/9.14 inference(unit_resolution,[status(thm)],[3319, 3315])).
% 13.91/9.14 tff(3321,plain,
% 13.91/9.14 (((~v101(constB37)) | (~v110(constB37))) | v101(constB37)),
% 13.91/9.14 inference(tautology,[status(thm)],[])).
% 13.91/9.14 tff(3322,plain,
% 13.91/9.14 ((~v101(constB37)) | (~v110(constB37))),
% 13.91/9.14 inference(unit_resolution,[status(thm)],[3321, 3320])).
% 13.91/9.14 tff(3323,plain,
% 13.91/9.14 ((~(v100(constB37) <=> (~((~v101(constB37)) | (~v110(constB37)))))) | (~v100(constB37)) | (~((~v101(constB37)) | (~v110(constB37))))),
% 13.91/9.14 inference(tautology,[status(thm)],[])).
% 13.91/9.14 tff(3324,plain,
% 13.91/9.14 (~v100(constB37)),
% 13.91/9.14 inference(unit_resolution,[status(thm)],[3323, 3322, 3308])).
% 13.91/9.14 tff(3325,plain,
% 13.91/9.14 (((~![VarCurr: $i, VarNext: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v90(VarCurr, B))))) | (v100(constB37) | (~nextState(constB36, constB37)) | ![B: $i] : ((~less_3(B)) | (v90(constB37, B) <=> v90(constB36, B))))) <=> ((~![VarCurr: $i, VarNext: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v90(VarCurr, B))))) | v100(constB37) | (~nextState(constB36, constB37)) | ![B: $i] : ((~less_3(B)) | (v90(constB37, B) <=> v90(constB36, B))))),
% 13.91/9.14 inference(rewrite,[status(thm)],[])).
% 13.91/9.14 tff(3326,plain,
% 13.91/9.14 ((~![VarCurr: $i, VarNext: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v90(VarCurr, B))))) | (v100(constB37) | (~nextState(constB36, constB37)) | ![B: $i] : ((~less_3(B)) | (v90(constB37, B) <=> v90(constB36, B))))),
% 13.91/9.14 inference(quant_inst,[status(thm)],[])).
% 13.91/9.14 tff(3327,plain,
% 13.91/9.14 ((~![VarCurr: $i, VarNext: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v90(VarCurr, B))))) | v100(constB37) | (~nextState(constB36, constB37)) | ![B: $i] : ((~less_3(B)) | (v90(constB37, B) <=> v90(constB36, B)))),
% 13.91/9.14 inference(modus_ponens,[status(thm)],[3326, 3325])).
% 13.91/9.14 tff(3328,plain,
% 13.91/9.14 (v100(constB37) | ![B: $i] : ((~less_3(B)) | (v90(constB37, B) <=> v90(constB36, B)))),
% 13.91/9.14 inference(unit_resolution,[status(thm)],[3327, 3304, 479])).
% 13.91/9.14 tff(3329,plain,
% 13.91/9.14 (![B: $i] : ((~less_3(B)) | (v90(constB37, B) <=> v90(constB36, B)))),
% 13.91/9.14 inference(unit_resolution,[status(thm)],[3328, 3324])).
% 13.91/9.14 tff(3330,plain,
% 13.91/9.14 (((~![B: $i] : ((~less_3(B)) | (v90(constB37, B) <=> v90(constB36, B)))) | ((~less_3(bitIndex2)) | (v90(constB37, bitIndex2) <=> v90(constB36, bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v90(constB37, B) <=> v90(constB36, B)))) | (~less_3(bitIndex2)) | (v90(constB37, bitIndex2) <=> v90(constB36, bitIndex2)))),
% 13.91/9.14 inference(rewrite,[status(thm)],[])).
% 13.91/9.14 tff(3331,plain,
% 13.91/9.14 ((~![B: $i] : ((~less_3(B)) | (v90(constB37, B) <=> v90(constB36, B)))) | ((~less_3(bitIndex2)) | (v90(constB37, bitIndex2) <=> v90(constB36, bitIndex2)))),
% 13.91/9.14 inference(quant_inst,[status(thm)],[])).
% 13.91/9.14 tff(3332,plain,
% 13.91/9.14 ((~![B: $i] : ((~less_3(B)) | (v90(constB37, B) <=> v90(constB36, B)))) | (~less_3(bitIndex2)) | (v90(constB37, bitIndex2) <=> v90(constB36, bitIndex2))),
% 13.91/9.14 inference(modus_ponens,[status(thm)],[3331, 3330])).
% 13.91/9.14 tff(3333,plain,
% 13.91/9.14 (v90(constB37, bitIndex2) <=> v90(constB36, bitIndex2)),
% 13.91/9.14 inference(unit_resolution,[status(thm)],[3332, 413, 3329])).
% 13.91/9.14 tff(3334,plain,
% 13.91/9.14 (nextState(constB35, constB36) <=> nextState(constB35, constB36)),
% 13.91/9.14 inference(rewrite,[status(thm)],[])).
% 13.91/9.14 tff(3335,axiom,(nextState(constB35, constB36)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_35')).
% 13.91/9.14 tff(3336,plain,
% 13.91/9.14 (nextState(constB35, constB36)),
% 13.91/9.14 inference(modus_ponens,[status(thm)],[3335, 3334])).
% 13.91/9.14 tff(3337,plain,
% 13.91/9.14 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB35, constB36)) | (v100(constB36) <=> (~((~v101(constB36)) | (~v110(constB36))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB35, constB36)) | (v100(constB36) <=> (~((~v101(constB36)) | (~v110(constB36))))))),
% 13.91/9.14 inference(rewrite,[status(thm)],[])).
% 13.91/9.14 tff(3338,plain,
% 13.91/9.14 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB35, constB36)) | (v100(constB36) <=> (~((~v101(constB36)) | (~v110(constB36))))))),
% 13.91/9.14 inference(quant_inst,[status(thm)],[])).
% 13.91/9.14 tff(3339,plain,
% 13.91/9.14 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB35, constB36)) | (v100(constB36) <=> (~((~v101(constB36)) | (~v110(constB36)))))),
% 13.91/9.14 inference(modus_ponens,[status(thm)],[3338, 3337])).
% 13.91/9.14 tff(3340,plain,
% 13.91/9.14 (v100(constB36) <=> (~((~v101(constB36)) | (~v110(constB36))))),
% 13.91/9.14 inference(unit_resolution,[status(thm)],[3339, 3336, 430])).
% 13.91/9.15 tff(3341,plain,
% 13.91/9.15 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB35, constB36)) | (v101(constB36) <=> (~((~v1(constB36)) | (~v102(constB36))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB35, constB36)) | (v101(constB36) <=> (~((~v1(constB36)) | (~v102(constB36))))))),
% 13.91/9.15 inference(rewrite,[status(thm)],[])).
% 13.91/9.15 tff(3342,plain,
% 13.91/9.15 (((~nextState(constB35, constB36)) | (v101(constB36) <=> (~((~v102(constB36)) | (~v1(constB36)))))) <=> ((~nextState(constB35, constB36)) | (v101(constB36) <=> (~((~v1(constB36)) | (~v102(constB36))))))),
% 13.91/9.15 inference(rewrite,[status(thm)],[])).
% 13.91/9.15 tff(3343,plain,
% 13.91/9.15 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB35, constB36)) | (v101(constB36) <=> (~((~v102(constB36)) | (~v1(constB36))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB35, constB36)) | (v101(constB36) <=> (~((~v1(constB36)) | (~v102(constB36)))))))),
% 13.91/9.15 inference(monotonicity,[status(thm)],[3342])).
% 13.91/9.15 tff(3344,plain,
% 13.91/9.15 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB35, constB36)) | (v101(constB36) <=> (~((~v102(constB36)) | (~v1(constB36))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB35, constB36)) | (v101(constB36) <=> (~((~v1(constB36)) | (~v102(constB36))))))),
% 13.91/9.15 inference(transitivity,[status(thm)],[3343, 3341])).
% 13.91/9.15 tff(3345,plain,
% 13.91/9.15 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB35, constB36)) | (v101(constB36) <=> (~((~v102(constB36)) | (~v1(constB36))))))),
% 13.91/9.15 inference(quant_inst,[status(thm)],[])).
% 13.91/9.15 tff(3346,plain,
% 13.91/9.15 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB35, constB36)) | (v101(constB36) <=> (~((~v1(constB36)) | (~v102(constB36)))))),
% 13.91/9.15 inference(modus_ponens,[status(thm)],[3345, 3344])).
% 13.91/9.15 tff(3347,plain,
% 13.91/9.15 (v101(constB36) <=> (~((~v1(constB36)) | (~v102(constB36))))),
% 13.91/9.15 inference(unit_resolution,[status(thm)],[3346, 3336, 450])).
% 13.91/9.15 tff(3348,plain,
% 13.91/9.15 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | ((~nextState(constB35, constB36)) | ((~v102(constB36)) <=> v104(constB36)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | (~nextState(constB35, constB36)) | ((~v102(constB36)) <=> v104(constB36)))),
% 13.91/9.15 inference(rewrite,[status(thm)],[])).
% 13.91/9.15 tff(3349,plain,
% 13.91/9.15 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | ((~nextState(constB35, constB36)) | ((~v102(constB36)) <=> v104(constB36)))),
% 13.91/9.15 inference(quant_inst,[status(thm)],[])).
% 13.91/9.15 tff(3350,plain,
% 13.91/9.15 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | (~nextState(constB35, constB36)) | ((~v102(constB36)) <=> v104(constB36))),
% 13.91/9.15 inference(modus_ponens,[status(thm)],[3349, 3348])).
% 13.91/9.15 tff(3351,plain,
% 13.91/9.15 ((~v102(constB36)) <=> v104(constB36)),
% 13.91/9.15 inference(unit_resolution,[status(thm)],[3350, 3336, 512])).
% 13.91/9.15 tff(3352,plain,
% 13.91/9.15 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB35, constB36)) | (v104(constB36) <=> v1(constB35)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | (~nextState(constB35, constB36)) | (v104(constB36) <=> v1(constB35)))),
% 13.91/9.15 inference(rewrite,[status(thm)],[])).
% 13.91/9.15 tff(3353,plain,
% 13.91/9.15 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB35, constB36)) | (v104(constB36) <=> v1(constB35)))),
% 13.91/9.15 inference(quant_inst,[status(thm)],[])).
% 13.91/9.15 tff(3354,plain,
% 13.91/9.15 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | (~nextState(constB35, constB36)) | (v104(constB36) <=> v1(constB35))),
% 13.91/9.15 inference(modus_ponens,[status(thm)],[3353, 3352])).
% 13.91/9.15 tff(3355,plain,
% 13.91/9.15 (v104(constB36) <=> v1(constB35)),
% 13.91/9.15 inference(unit_resolution,[status(thm)],[3354, 3336, 526])).
% 13.91/9.15 tff(3356,plain,
% 13.91/9.15 ((~v1(constB35)) <=> (~v1(constB35))),
% 13.91/9.15 inference(rewrite,[status(thm)],[])).
% 13.91/9.15 tff(3357,axiom,(~v1(constB35)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_35')).
% 13.91/9.15 tff(3358,plain,
% 13.91/9.15 (~v1(constB35)),
% 13.91/9.15 inference(modus_ponens,[status(thm)],[3357, 3356])).
% 13.91/9.15 tff(3359,plain,
% 13.91/9.15 ((~(v104(constB36) <=> v1(constB35))) | (~v104(constB36)) | v1(constB35)),
% 13.91/9.15 inference(tautology,[status(thm)],[])).
% 13.91/9.15 tff(3360,plain,
% 13.91/9.15 ((~(v104(constB36) <=> v1(constB35))) | (~v104(constB36))),
% 13.91/9.15 inference(unit_resolution,[status(thm)],[3359, 3358])).
% 13.91/9.15 tff(3361,plain,
% 13.91/9.15 (~v104(constB36)),
% 13.91/9.15 inference(unit_resolution,[status(thm)],[3360, 3355])).
% 13.91/9.15 tff(3362,plain,
% 13.91/9.15 ((~((~v102(constB36)) <=> v104(constB36))) | v102(constB36) | v104(constB36)),
% 13.91/9.15 inference(tautology,[status(thm)],[])).
% 13.91/9.15 tff(3363,plain,
% 13.91/9.15 (v102(constB36)),
% 13.91/9.15 inference(unit_resolution,[status(thm)],[3362, 3361, 3351])).
% 13.91/9.15 tff(3364,plain,
% 13.91/9.15 (v1(constB36) <=> v1(constB36)),
% 13.91/9.15 inference(rewrite,[status(thm)],[])).
% 13.91/9.15 tff(3365,axiom,(v1(constB36)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_36')).
% 13.91/9.15 tff(3366,plain,
% 13.91/9.15 (v1(constB36)),
% 13.91/9.15 inference(modus_ponens,[status(thm)],[3365, 3364])).
% 13.91/9.15 tff(3367,plain,
% 13.91/9.15 ((~((~v1(constB36)) | (~v102(constB36)))) | (~v1(constB36)) | (~v102(constB36))),
% 13.91/9.15 inference(tautology,[status(thm)],[])).
% 13.91/9.15 tff(3368,plain,
% 13.91/9.15 ((~((~v1(constB36)) | (~v102(constB36)))) | (~v102(constB36))),
% 13.91/9.15 inference(unit_resolution,[status(thm)],[3367, 3366])).
% 13.91/9.15 tff(3369,plain,
% 13.91/9.15 (~((~v1(constB36)) | (~v102(constB36)))),
% 13.91/9.15 inference(unit_resolution,[status(thm)],[3368, 3363])).
% 13.91/9.15 tff(3370,plain,
% 13.91/9.15 ((~(v101(constB36) <=> (~((~v1(constB36)) | (~v102(constB36)))))) | v101(constB36) | ((~v1(constB36)) | (~v102(constB36)))),
% 13.91/9.15 inference(tautology,[status(thm)],[])).
% 13.91/9.15 tff(3371,plain,
% 13.91/9.15 (v101(constB36)),
% 13.91/9.15 inference(unit_resolution,[status(thm)],[3370, 3369, 3347])).
% 13.91/9.15 tff(3372,plain,
% 13.91/9.15 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | ((~nextState(constB35, constB36)) | (v110(constB36) <=> v108(constB35)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | (~nextState(constB35, constB36)) | (v110(constB36) <=> v108(constB35)))),
% 13.91/9.15 inference(rewrite,[status(thm)],[])).
% 13.91/9.15 tff(3373,plain,
% 13.91/9.15 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | ((~nextState(constB35, constB36)) | (v110(constB36) <=> v108(constB35)))),
% 13.91/9.15 inference(quant_inst,[status(thm)],[])).
% 13.91/9.15 tff(3374,plain,
% 13.91/9.15 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | (~nextState(constB35, constB36)) | (v110(constB36) <=> v108(constB35))),
% 13.91/9.15 inference(modus_ponens,[status(thm)],[3373, 3372])).
% 13.91/9.15 tff(3375,plain,
% 13.91/9.15 (v110(constB36) <=> v108(constB35)),
% 13.91/9.15 inference(unit_resolution,[status(thm)],[3374, 3336, 556])).
% 13.91/9.15 tff(3376,plain,
% 13.91/9.15 ((~![VarCurr: $i] : (v108(VarCurr) <=> (v111(VarCurr) | v112(VarCurr)))) | (v108(constB35) <=> (v111(constB35) | v112(constB35)))),
% 13.91/9.15 inference(quant_inst,[status(thm)],[])).
% 13.91/9.15 tff(3377,plain,
% 13.91/9.15 (v108(constB35) <=> (v111(constB35) | v112(constB35))),
% 13.91/9.15 inference(unit_resolution,[status(thm)],[3376, 567])).
% 13.91/9.15 tff(3378,plain,
% 13.91/9.15 ((~![VarCurr: $i] : (v112(VarCurr) <=> (~((~v113(VarCurr)) | (~v126(VarCurr)))))) | (v112(constB35) <=> (~((~v113(constB35)) | (~v126(constB35)))))),
% 13.91/9.15 inference(quant_inst,[status(thm)],[])).
% 13.91/9.15 tff(3379,plain,
% 13.91/9.15 (v112(constB35) <=> (~((~v113(constB35)) | (~v126(constB35))))),
% 13.91/9.15 inference(unit_resolution,[status(thm)],[3378, 579])).
% 13.91/9.15 tff(3380,plain,
% 13.91/9.15 ((~![VarCurr: $i] : (v113(VarCurr) <=> (v114(VarCurr) | v125(VarCurr)))) | (v113(constB35) <=> (v114(constB35) | v125(constB35)))),
% 13.91/9.15 inference(quant_inst,[status(thm)],[])).
% 13.91/9.15 tff(3381,plain,
% 13.91/9.15 (v113(constB35) <=> (v114(constB35) | v125(constB35))),
% 13.91/9.15 inference(unit_resolution,[status(thm)],[3380, 588])).
% 13.91/9.15 tff(3382,plain,
% 13.91/9.15 (((~![VarCurr: $i] : (v125(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2)))))) | (v125(constB35) <=> (~((~v90(constB35, bitIndex2)) | (~v90(constB35, bitIndex1)) | v90(constB35, bitIndex0))))) <=> ((~![VarCurr: $i] : (v125(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2)))))) | (v125(constB35) <=> (~((~v90(constB35, bitIndex2)) | (~v90(constB35, bitIndex1)) | v90(constB35, bitIndex0)))))),
% 13.91/9.15 inference(rewrite,[status(thm)],[])).
% 13.91/9.15 tff(3383,plain,
% 13.91/9.15 ((v125(constB35) <=> (~(v90(constB35, bitIndex0) | (~v90(constB35, bitIndex1)) | (~v90(constB35, bitIndex2))))) <=> (v125(constB35) <=> (~((~v90(constB35, bitIndex2)) | (~v90(constB35, bitIndex1)) | v90(constB35, bitIndex0))))),
% 13.91/9.15 inference(rewrite,[status(thm)],[])).
% 13.91/9.15 tff(3384,plain,
% 13.91/9.15 (((~![VarCurr: $i] : (v125(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2)))))) | (v125(constB35) <=> (~(v90(constB35, bitIndex0) | (~v90(constB35, bitIndex1)) | (~v90(constB35, bitIndex2)))))) <=> ((~![VarCurr: $i] : (v125(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2)))))) | (v125(constB35) <=> (~((~v90(constB35, bitIndex2)) | (~v90(constB35, bitIndex1)) | v90(constB35, bitIndex0)))))),
% 13.91/9.15 inference(monotonicity,[status(thm)],[3383])).
% 13.91/9.15 tff(3385,plain,
% 13.91/9.15 (((~![VarCurr: $i] : (v125(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2)))))) | (v125(constB35) <=> (~(v90(constB35, bitIndex0) | (~v90(constB35, bitIndex1)) | (~v90(constB35, bitIndex2)))))) <=> ((~![VarCurr: $i] : (v125(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2)))))) | (v125(constB35) <=> (~((~v90(constB35, bitIndex2)) | (~v90(constB35, bitIndex1)) | v90(constB35, bitIndex0)))))),
% 13.91/9.15 inference(transitivity,[status(thm)],[3384, 3382])).
% 13.91/9.15 tff(3386,plain,
% 13.91/9.15 ((~![VarCurr: $i] : (v125(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2)))))) | (v125(constB35) <=> (~(v90(constB35, bitIndex0) | (~v90(constB35, bitIndex1)) | (~v90(constB35, bitIndex2)))))),
% 13.91/9.15 inference(quant_inst,[status(thm)],[])).
% 13.91/9.15 tff(3387,plain,
% 13.91/9.15 ((~![VarCurr: $i] : (v125(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2)))))) | (v125(constB35) <=> (~((~v90(constB35, bitIndex2)) | (~v90(constB35, bitIndex1)) | v90(constB35, bitIndex0))))),
% 13.91/9.15 inference(modus_ponens,[status(thm)],[3386, 3385])).
% 13.91/9.15 tff(3388,plain,
% 13.91/9.15 (v125(constB35) <=> (~((~v90(constB35, bitIndex2)) | (~v90(constB35, bitIndex1)) | v90(constB35, bitIndex0)))),
% 13.91/9.15 inference(unit_resolution,[status(thm)],[3387, 1066])).
% 13.91/9.15 tff(3389,plain,
% 13.91/9.15 (nextState(constB34, constB35) <=> nextState(constB34, constB35)),
% 13.91/9.15 inference(rewrite,[status(thm)],[])).
% 13.91/9.15 tff(3390,axiom,(nextState(constB34, constB35)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_34')).
% 13.91/9.15 tff(3391,plain,
% 13.91/9.15 (nextState(constB34, constB35)),
% 13.91/9.15 inference(modus_ponens,[status(thm)],[3390, 3389])).
% 13.91/9.15 tff(3392,plain,
% 13.91/9.15 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB34, constB35)) | (v100(constB35) <=> (~((~v101(constB35)) | (~v110(constB35))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB34, constB35)) | (v100(constB35) <=> (~((~v101(constB35)) | (~v110(constB35))))))),
% 13.91/9.15 inference(rewrite,[status(thm)],[])).
% 13.91/9.15 tff(3393,plain,
% 13.91/9.15 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB34, constB35)) | (v100(constB35) <=> (~((~v101(constB35)) | (~v110(constB35))))))),
% 13.91/9.15 inference(quant_inst,[status(thm)],[])).
% 13.91/9.15 tff(3394,plain,
% 13.91/9.15 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB34, constB35)) | (v100(constB35) <=> (~((~v101(constB35)) | (~v110(constB35)))))),
% 13.91/9.15 inference(modus_ponens,[status(thm)],[3393, 3392])).
% 13.91/9.15 tff(3395,plain,
% 13.91/9.15 (v100(constB35) <=> (~((~v101(constB35)) | (~v110(constB35))))),
% 13.91/9.15 inference(unit_resolution,[status(thm)],[3394, 3391, 430])).
% 13.91/9.15 tff(3396,plain,
% 13.91/9.15 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB34, constB35)) | (v101(constB35) <=> (~((~v1(constB35)) | (~v102(constB35))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB34, constB35)) | (v101(constB35) <=> (~((~v1(constB35)) | (~v102(constB35))))))),
% 13.91/9.15 inference(rewrite,[status(thm)],[])).
% 13.91/9.15 tff(3397,plain,
% 13.91/9.15 (((~nextState(constB34, constB35)) | (v101(constB35) <=> (~((~v102(constB35)) | (~v1(constB35)))))) <=> ((~nextState(constB34, constB35)) | (v101(constB35) <=> (~((~v1(constB35)) | (~v102(constB35))))))),
% 13.91/9.15 inference(rewrite,[status(thm)],[])).
% 13.91/9.15 tff(3398,plain,
% 13.91/9.15 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB34, constB35)) | (v101(constB35) <=> (~((~v102(constB35)) | (~v1(constB35))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB34, constB35)) | (v101(constB35) <=> (~((~v1(constB35)) | (~v102(constB35)))))))),
% 13.91/9.15 inference(monotonicity,[status(thm)],[3397])).
% 13.91/9.15 tff(3399,plain,
% 13.91/9.15 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB34, constB35)) | (v101(constB35) <=> (~((~v102(constB35)) | (~v1(constB35))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB34, constB35)) | (v101(constB35) <=> (~((~v1(constB35)) | (~v102(constB35))))))),
% 13.91/9.15 inference(transitivity,[status(thm)],[3398, 3396])).
% 13.91/9.15 tff(3400,plain,
% 13.91/9.15 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB34, constB35)) | (v101(constB35) <=> (~((~v102(constB35)) | (~v1(constB35))))))),
% 13.91/9.15 inference(quant_inst,[status(thm)],[])).
% 13.91/9.15 tff(3401,plain,
% 13.91/9.15 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB34, constB35)) | (v101(constB35) <=> (~((~v1(constB35)) | (~v102(constB35)))))),
% 13.91/9.15 inference(modus_ponens,[status(thm)],[3400, 3399])).
% 13.91/9.15 tff(3402,plain,
% 13.91/9.15 (v101(constB35) <=> (~((~v1(constB35)) | (~v102(constB35))))),
% 13.91/9.15 inference(unit_resolution,[status(thm)],[3401, 3391, 450])).
% 13.91/9.15 tff(3403,plain,
% 13.91/9.15 (((~v1(constB35)) | (~v102(constB35))) | v1(constB35)),
% 13.91/9.15 inference(tautology,[status(thm)],[])).
% 13.91/9.15 tff(3404,plain,
% 13.91/9.15 ((~v1(constB35)) | (~v102(constB35))),
% 13.91/9.15 inference(unit_resolution,[status(thm)],[3403, 3358])).
% 13.91/9.15 tff(3405,plain,
% 13.91/9.15 ((~(v101(constB35) <=> (~((~v1(constB35)) | (~v102(constB35)))))) | (~v101(constB35)) | (~((~v1(constB35)) | (~v102(constB35))))),
% 13.91/9.15 inference(tautology,[status(thm)],[])).
% 13.91/9.15 tff(3406,plain,
% 13.91/9.15 ((~(v101(constB35) <=> (~((~v1(constB35)) | (~v102(constB35)))))) | (~v101(constB35))),
% 13.91/9.15 inference(unit_resolution,[status(thm)],[3405, 3404])).
% 13.91/9.16 tff(3407,plain,
% 13.91/9.16 (~v101(constB35)),
% 13.91/9.16 inference(unit_resolution,[status(thm)],[3406, 3402])).
% 13.91/9.16 tff(3408,plain,
% 13.91/9.16 (((~v101(constB35)) | (~v110(constB35))) | v101(constB35)),
% 13.91/9.16 inference(tautology,[status(thm)],[])).
% 13.91/9.16 tff(3409,plain,
% 13.91/9.16 ((~v101(constB35)) | (~v110(constB35))),
% 13.91/9.16 inference(unit_resolution,[status(thm)],[3408, 3407])).
% 13.91/9.16 tff(3410,plain,
% 13.91/9.16 ((~(v100(constB35) <=> (~((~v101(constB35)) | (~v110(constB35)))))) | (~v100(constB35)) | (~((~v101(constB35)) | (~v110(constB35))))),
% 13.91/9.16 inference(tautology,[status(thm)],[])).
% 13.91/9.16 tff(3411,plain,
% 13.91/9.16 (~v100(constB35)),
% 13.91/9.16 inference(unit_resolution,[status(thm)],[3410, 3409, 3395])).
% 13.91/9.16 tff(3412,plain,
% 13.91/9.16 (((~![VarCurr: $i, VarNext: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v90(VarCurr, B))))) | (v100(constB35) | (~nextState(constB34, constB35)) | ![B: $i] : ((~less_3(B)) | (v90(constB35, B) <=> v90(constB34, B))))) <=> ((~![VarCurr: $i, VarNext: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v90(VarCurr, B))))) | v100(constB35) | (~nextState(constB34, constB35)) | ![B: $i] : ((~less_3(B)) | (v90(constB35, B) <=> v90(constB34, B))))),
% 13.91/9.16 inference(rewrite,[status(thm)],[])).
% 13.91/9.16 tff(3413,plain,
% 13.91/9.16 ((~![VarCurr: $i, VarNext: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v90(VarCurr, B))))) | (v100(constB35) | (~nextState(constB34, constB35)) | ![B: $i] : ((~less_3(B)) | (v90(constB35, B) <=> v90(constB34, B))))),
% 13.91/9.16 inference(quant_inst,[status(thm)],[])).
% 13.91/9.16 tff(3414,plain,
% 13.91/9.16 ((~![VarCurr: $i, VarNext: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v90(VarCurr, B))))) | v100(constB35) | (~nextState(constB34, constB35)) | ![B: $i] : ((~less_3(B)) | (v90(constB35, B) <=> v90(constB34, B)))),
% 13.91/9.16 inference(modus_ponens,[status(thm)],[3413, 3412])).
% 13.91/9.16 tff(3415,plain,
% 13.91/9.16 (v100(constB35) | ![B: $i] : ((~less_3(B)) | (v90(constB35, B) <=> v90(constB34, B)))),
% 13.91/9.16 inference(unit_resolution,[status(thm)],[3414, 3391, 479])).
% 13.91/9.16 tff(3416,plain,
% 13.91/9.16 (![B: $i] : ((~less_3(B)) | (v90(constB35, B) <=> v90(constB34, B)))),
% 13.91/9.16 inference(unit_resolution,[status(thm)],[3415, 3411])).
% 13.91/9.16 tff(3417,plain,
% 13.91/9.16 (((~![B: $i] : ((~less_3(B)) | (v90(constB35, B) <=> v90(constB34, B)))) | ((~less_3(bitIndex2)) | (v90(constB35, bitIndex2) <=> v90(constB34, bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v90(constB35, B) <=> v90(constB34, B)))) | (~less_3(bitIndex2)) | (v90(constB35, bitIndex2) <=> v90(constB34, bitIndex2)))),
% 13.91/9.16 inference(rewrite,[status(thm)],[])).
% 13.91/9.16 tff(3418,plain,
% 13.91/9.16 ((~![B: $i] : ((~less_3(B)) | (v90(constB35, B) <=> v90(constB34, B)))) | ((~less_3(bitIndex2)) | (v90(constB35, bitIndex2) <=> v90(constB34, bitIndex2)))),
% 13.91/9.16 inference(quant_inst,[status(thm)],[])).
% 13.91/9.16 tff(3419,plain,
% 13.91/9.16 ((~![B: $i] : ((~less_3(B)) | (v90(constB35, B) <=> v90(constB34, B)))) | (~less_3(bitIndex2)) | (v90(constB35, bitIndex2) <=> v90(constB34, bitIndex2))),
% 13.91/9.16 inference(modus_ponens,[status(thm)],[3418, 3417])).
% 13.91/9.16 tff(3420,plain,
% 13.91/9.16 (v90(constB35, bitIndex2) <=> v90(constB34, bitIndex2)),
% 13.91/9.16 inference(unit_resolution,[status(thm)],[3419, 413, 3416])).
% 13.91/9.16 tff(3421,plain,
% 13.91/9.16 (nextState(constB33, constB34) <=> nextState(constB33, constB34)),
% 13.91/9.16 inference(rewrite,[status(thm)],[])).
% 13.91/9.16 tff(3422,axiom,(nextState(constB33, constB34)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_33')).
% 13.91/9.16 tff(3423,plain,
% 13.91/9.16 (nextState(constB33, constB34)),
% 13.91/9.16 inference(modus_ponens,[status(thm)],[3422, 3421])).
% 13.91/9.16 tff(3424,plain,
% 13.91/9.16 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB33, constB34)) | (v100(constB34) <=> (~((~v101(constB34)) | (~v110(constB34))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB33, constB34)) | (v100(constB34) <=> (~((~v101(constB34)) | (~v110(constB34))))))),
% 13.91/9.16 inference(rewrite,[status(thm)],[])).
% 13.91/9.16 tff(3425,plain,
% 13.91/9.16 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB33, constB34)) | (v100(constB34) <=> (~((~v101(constB34)) | (~v110(constB34))))))),
% 13.91/9.16 inference(quant_inst,[status(thm)],[])).
% 13.91/9.16 tff(3426,plain,
% 13.91/9.16 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB33, constB34)) | (v100(constB34) <=> (~((~v101(constB34)) | (~v110(constB34)))))),
% 13.91/9.16 inference(modus_ponens,[status(thm)],[3425, 3424])).
% 13.91/9.16 tff(3427,plain,
% 13.91/9.16 (v100(constB34) <=> (~((~v101(constB34)) | (~v110(constB34))))),
% 13.91/9.16 inference(unit_resolution,[status(thm)],[3426, 3423, 430])).
% 13.91/9.16 tff(3428,plain,
% 13.91/9.16 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB33, constB34)) | (v101(constB34) <=> (~((~v1(constB34)) | (~v102(constB34))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB33, constB34)) | (v101(constB34) <=> (~((~v1(constB34)) | (~v102(constB34))))))),
% 13.91/9.16 inference(rewrite,[status(thm)],[])).
% 13.91/9.16 tff(3429,plain,
% 13.91/9.16 (((~nextState(constB33, constB34)) | (v101(constB34) <=> (~((~v102(constB34)) | (~v1(constB34)))))) <=> ((~nextState(constB33, constB34)) | (v101(constB34) <=> (~((~v1(constB34)) | (~v102(constB34))))))),
% 13.91/9.16 inference(rewrite,[status(thm)],[])).
% 13.91/9.16 tff(3430,plain,
% 13.91/9.16 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB33, constB34)) | (v101(constB34) <=> (~((~v102(constB34)) | (~v1(constB34))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB33, constB34)) | (v101(constB34) <=> (~((~v1(constB34)) | (~v102(constB34)))))))),
% 13.91/9.16 inference(monotonicity,[status(thm)],[3429])).
% 13.91/9.16 tff(3431,plain,
% 13.91/9.16 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB33, constB34)) | (v101(constB34) <=> (~((~v102(constB34)) | (~v1(constB34))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB33, constB34)) | (v101(constB34) <=> (~((~v1(constB34)) | (~v102(constB34))))))),
% 13.91/9.16 inference(transitivity,[status(thm)],[3430, 3428])).
% 13.91/9.16 tff(3432,plain,
% 13.91/9.16 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB33, constB34)) | (v101(constB34) <=> (~((~v102(constB34)) | (~v1(constB34))))))),
% 13.91/9.16 inference(quant_inst,[status(thm)],[])).
% 13.91/9.16 tff(3433,plain,
% 13.91/9.16 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB33, constB34)) | (v101(constB34) <=> (~((~v1(constB34)) | (~v102(constB34)))))),
% 13.91/9.16 inference(modus_ponens,[status(thm)],[3432, 3431])).
% 13.91/9.16 tff(3434,plain,
% 13.91/9.16 (v101(constB34) <=> (~((~v1(constB34)) | (~v102(constB34))))),
% 13.91/9.16 inference(unit_resolution,[status(thm)],[3433, 3423, 450])).
% 13.91/9.16 tff(3435,plain,
% 13.91/9.16 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | ((~nextState(constB33, constB34)) | ((~v102(constB34)) <=> v104(constB34)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | (~nextState(constB33, constB34)) | ((~v102(constB34)) <=> v104(constB34)))),
% 13.91/9.16 inference(rewrite,[status(thm)],[])).
% 13.91/9.16 tff(3436,plain,
% 13.91/9.16 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | ((~nextState(constB33, constB34)) | ((~v102(constB34)) <=> v104(constB34)))),
% 13.91/9.16 inference(quant_inst,[status(thm)],[])).
% 13.91/9.16 tff(3437,plain,
% 13.91/9.16 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | (~nextState(constB33, constB34)) | ((~v102(constB34)) <=> v104(constB34))),
% 13.91/9.16 inference(modus_ponens,[status(thm)],[3436, 3435])).
% 13.91/9.16 tff(3438,plain,
% 13.91/9.16 ((~v102(constB34)) <=> v104(constB34)),
% 13.91/9.16 inference(unit_resolution,[status(thm)],[3437, 3423, 512])).
% 13.91/9.16 tff(3439,plain,
% 13.91/9.16 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB33, constB34)) | (v104(constB34) <=> v1(constB33)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | (~nextState(constB33, constB34)) | (v104(constB34) <=> v1(constB33)))),
% 13.91/9.16 inference(rewrite,[status(thm)],[])).
% 13.91/9.16 tff(3440,plain,
% 13.91/9.16 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB33, constB34)) | (v104(constB34) <=> v1(constB33)))),
% 13.91/9.16 inference(quant_inst,[status(thm)],[])).
% 13.91/9.16 tff(3441,plain,
% 13.91/9.16 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | (~nextState(constB33, constB34)) | (v104(constB34) <=> v1(constB33))),
% 13.91/9.16 inference(modus_ponens,[status(thm)],[3440, 3439])).
% 13.91/9.16 tff(3442,plain,
% 13.91/9.16 (v104(constB34) <=> v1(constB33)),
% 13.91/9.16 inference(unit_resolution,[status(thm)],[3441, 3423, 526])).
% 13.91/9.16 tff(3443,plain,
% 13.91/9.16 ((~v1(constB33)) <=> (~v1(constB33))),
% 13.91/9.16 inference(rewrite,[status(thm)],[])).
% 13.91/9.16 tff(3444,axiom,(~v1(constB33)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_33')).
% 13.91/9.16 tff(3445,plain,
% 13.91/9.16 (~v1(constB33)),
% 13.91/9.16 inference(modus_ponens,[status(thm)],[3444, 3443])).
% 13.91/9.16 tff(3446,plain,
% 13.91/9.16 ((~(v104(constB34) <=> v1(constB33))) | (~v104(constB34)) | v1(constB33)),
% 13.91/9.16 inference(tautology,[status(thm)],[])).
% 13.91/9.16 tff(3447,plain,
% 13.91/9.16 ((~(v104(constB34) <=> v1(constB33))) | (~v104(constB34))),
% 13.91/9.16 inference(unit_resolution,[status(thm)],[3446, 3445])).
% 13.91/9.16 tff(3448,plain,
% 13.91/9.16 (~v104(constB34)),
% 13.91/9.16 inference(unit_resolution,[status(thm)],[3447, 3442])).
% 13.91/9.16 tff(3449,plain,
% 13.91/9.16 ((~((~v102(constB34)) <=> v104(constB34))) | v102(constB34) | v104(constB34)),
% 13.91/9.16 inference(tautology,[status(thm)],[])).
% 13.91/9.16 tff(3450,plain,
% 13.91/9.16 (v102(constB34)),
% 13.91/9.16 inference(unit_resolution,[status(thm)],[3449, 3448, 3438])).
% 13.91/9.16 tff(3451,plain,
% 13.91/9.16 (v1(constB34) <=> v1(constB34)),
% 13.91/9.16 inference(rewrite,[status(thm)],[])).
% 13.91/9.16 tff(3452,axiom,(v1(constB34)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_34')).
% 13.91/9.16 tff(3453,plain,
% 13.91/9.16 (v1(constB34)),
% 13.91/9.16 inference(modus_ponens,[status(thm)],[3452, 3451])).
% 13.91/9.16 tff(3454,plain,
% 13.91/9.16 ((~((~v1(constB34)) | (~v102(constB34)))) | (~v1(constB34)) | (~v102(constB34))),
% 13.91/9.16 inference(tautology,[status(thm)],[])).
% 13.91/9.16 tff(3455,plain,
% 13.91/9.16 ((~((~v1(constB34)) | (~v102(constB34)))) | (~v102(constB34))),
% 13.91/9.16 inference(unit_resolution,[status(thm)],[3454, 3453])).
% 13.91/9.16 tff(3456,plain,
% 13.91/9.16 (~((~v1(constB34)) | (~v102(constB34)))),
% 13.91/9.16 inference(unit_resolution,[status(thm)],[3455, 3450])).
% 13.91/9.16 tff(3457,plain,
% 13.91/9.16 ((~(v101(constB34) <=> (~((~v1(constB34)) | (~v102(constB34)))))) | v101(constB34) | ((~v1(constB34)) | (~v102(constB34)))),
% 13.91/9.16 inference(tautology,[status(thm)],[])).
% 13.91/9.16 tff(3458,plain,
% 13.91/9.16 (v101(constB34)),
% 13.91/9.16 inference(unit_resolution,[status(thm)],[3457, 3456, 3434])).
% 13.91/9.16 tff(3459,plain,
% 13.91/9.16 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | ((~nextState(constB33, constB34)) | (v110(constB34) <=> v108(constB33)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | (~nextState(constB33, constB34)) | (v110(constB34) <=> v108(constB33)))),
% 13.91/9.16 inference(rewrite,[status(thm)],[])).
% 13.91/9.16 tff(3460,plain,
% 13.91/9.16 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | ((~nextState(constB33, constB34)) | (v110(constB34) <=> v108(constB33)))),
% 13.91/9.16 inference(quant_inst,[status(thm)],[])).
% 13.91/9.16 tff(3461,plain,
% 13.91/9.16 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | (~nextState(constB33, constB34)) | (v110(constB34) <=> v108(constB33))),
% 13.91/9.16 inference(modus_ponens,[status(thm)],[3460, 3459])).
% 13.91/9.16 tff(3462,plain,
% 13.91/9.16 (v110(constB34) <=> v108(constB33)),
% 13.91/9.16 inference(unit_resolution,[status(thm)],[3461, 3423, 556])).
% 13.91/9.16 tff(3463,plain,
% 13.91/9.16 ((~![VarCurr: $i] : (v108(VarCurr) <=> (v111(VarCurr) | v112(VarCurr)))) | (v108(constB33) <=> (v111(constB33) | v112(constB33)))),
% 13.91/9.16 inference(quant_inst,[status(thm)],[])).
% 13.91/9.16 tff(3464,plain,
% 13.91/9.16 (v108(constB33) <=> (v111(constB33) | v112(constB33))),
% 13.91/9.16 inference(unit_resolution,[status(thm)],[3463, 567])).
% 13.91/9.16 tff(3465,plain,
% 13.91/9.16 ((~![VarCurr: $i] : (v112(VarCurr) <=> (~((~v113(VarCurr)) | (~v126(VarCurr)))))) | (v112(constB33) <=> (~((~v113(constB33)) | (~v126(constB33)))))),
% 13.91/9.16 inference(quant_inst,[status(thm)],[])).
% 13.91/9.16 tff(3466,plain,
% 13.91/9.16 (v112(constB33) <=> (~((~v113(constB33)) | (~v126(constB33))))),
% 13.91/9.16 inference(unit_resolution,[status(thm)],[3465, 579])).
% 13.91/9.16 tff(3467,plain,
% 13.91/9.16 ((~![VarCurr: $i] : (v113(VarCurr) <=> (v114(VarCurr) | v125(VarCurr)))) | (v113(constB33) <=> (v114(constB33) | v125(constB33)))),
% 13.91/9.16 inference(quant_inst,[status(thm)],[])).
% 13.91/9.16 tff(3468,plain,
% 13.91/9.16 (v113(constB33) <=> (v114(constB33) | v125(constB33))),
% 13.91/9.16 inference(unit_resolution,[status(thm)],[3467, 588])).
% 13.91/9.16 tff(3469,plain,
% 13.91/9.16 ((~![VarCurr: $i] : (v114(VarCurr) <=> (v115(VarCurr) | v124(VarCurr)))) | (v114(constB33) <=> (v115(constB33) | v124(constB33)))),
% 13.91/9.16 inference(quant_inst,[status(thm)],[])).
% 13.91/9.16 tff(3470,plain,
% 13.91/9.16 (v114(constB33) <=> (v115(constB33) | v124(constB33))),
% 13.91/9.16 inference(unit_resolution,[status(thm)],[3469, 597])).
% 13.91/9.16 tff(3471,plain,
% 13.91/9.16 ((~![VarCurr: $i] : (v115(VarCurr) <=> (v116(VarCurr) | v123(VarCurr)))) | (v115(constB33) <=> (v116(constB33) | v123(constB33)))),
% 13.91/9.16 inference(quant_inst,[status(thm)],[])).
% 13.91/9.16 tff(3472,plain,
% 13.91/9.16 (v115(constB33) <=> (v116(constB33) | v123(constB33))),
% 13.91/9.16 inference(unit_resolution,[status(thm)],[3471, 606])).
% 13.91/9.16 tff(3473,plain,
% 13.91/9.16 (((~![VarCurr: $i] : (v123(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)))))) | (v123(constB33) <=> (~((~v90(constB33, bitIndex2)) | v90(constB33, bitIndex1) | v90(constB33, bitIndex0))))) <=> ((~![VarCurr: $i] : (v123(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)))))) | (v123(constB33) <=> (~((~v90(constB33, bitIndex2)) | v90(constB33, bitIndex1) | v90(constB33, bitIndex0)))))),
% 13.91/9.16 inference(rewrite,[status(thm)],[])).
% 13.91/9.16 tff(3474,plain,
% 13.91/9.16 ((v123(constB33) <=> (~(v90(constB33, bitIndex0) | v90(constB33, bitIndex1) | (~v90(constB33, bitIndex2))))) <=> (v123(constB33) <=> (~((~v90(constB33, bitIndex2)) | v90(constB33, bitIndex1) | v90(constB33, bitIndex0))))),
% 13.91/9.16 inference(rewrite,[status(thm)],[])).
% 13.91/9.16 tff(3475,plain,
% 13.91/9.16 (((~![VarCurr: $i] : (v123(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)))))) | (v123(constB33) <=> (~(v90(constB33, bitIndex0) | v90(constB33, bitIndex1) | (~v90(constB33, bitIndex2)))))) <=> ((~![VarCurr: $i] : (v123(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)))))) | (v123(constB33) <=> (~((~v90(constB33, bitIndex2)) | v90(constB33, bitIndex1) | v90(constB33, bitIndex0)))))),
% 13.91/9.16 inference(monotonicity,[status(thm)],[3474])).
% 13.91/9.16 tff(3476,plain,
% 13.91/9.16 (((~![VarCurr: $i] : (v123(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)))))) | (v123(constB33) <=> (~(v90(constB33, bitIndex0) | v90(constB33, bitIndex1) | (~v90(constB33, bitIndex2)))))) <=> ((~![VarCurr: $i] : (v123(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)))))) | (v123(constB33) <=> (~((~v90(constB33, bitIndex2)) | v90(constB33, bitIndex1) | v90(constB33, bitIndex0)))))),
% 13.91/9.16 inference(transitivity,[status(thm)],[3475, 3473])).
% 13.91/9.16 tff(3477,plain,
% 13.91/9.16 ((~![VarCurr: $i] : (v123(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)))))) | (v123(constB33) <=> (~(v90(constB33, bitIndex0) | v90(constB33, bitIndex1) | (~v90(constB33, bitIndex2)))))),
% 13.91/9.17 inference(quant_inst,[status(thm)],[])).
% 13.91/9.17 tff(3478,plain,
% 13.91/9.17 ((~![VarCurr: $i] : (v123(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)))))) | (v123(constB33) <=> (~((~v90(constB33, bitIndex2)) | v90(constB33, bitIndex1) | v90(constB33, bitIndex0))))),
% 13.91/9.17 inference(modus_ponens,[status(thm)],[3477, 3476])).
% 13.91/9.17 tff(3479,plain,
% 13.91/9.17 (v123(constB33) <=> (~((~v90(constB33, bitIndex2)) | v90(constB33, bitIndex1) | v90(constB33, bitIndex0)))),
% 13.91/9.17 inference(unit_resolution,[status(thm)],[3478, 621])).
% 13.91/9.17 tff(3480,plain,
% 13.91/9.17 (nextState(constB32, constB33) <=> nextState(constB32, constB33)),
% 13.91/9.17 inference(rewrite,[status(thm)],[])).
% 13.91/9.17 tff(3481,axiom,(nextState(constB32, constB33)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_32')).
% 13.91/9.17 tff(3482,plain,
% 13.91/9.17 (nextState(constB32, constB33)),
% 13.91/9.17 inference(modus_ponens,[status(thm)],[3481, 3480])).
% 13.91/9.17 tff(3483,plain,
% 13.91/9.17 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB32, constB33)) | (v100(constB33) <=> (~((~v101(constB33)) | (~v110(constB33))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB32, constB33)) | (v100(constB33) <=> (~((~v101(constB33)) | (~v110(constB33))))))),
% 13.91/9.17 inference(rewrite,[status(thm)],[])).
% 13.91/9.17 tff(3484,plain,
% 13.91/9.17 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB32, constB33)) | (v100(constB33) <=> (~((~v101(constB33)) | (~v110(constB33))))))),
% 13.91/9.17 inference(quant_inst,[status(thm)],[])).
% 13.91/9.17 tff(3485,plain,
% 13.91/9.17 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB32, constB33)) | (v100(constB33) <=> (~((~v101(constB33)) | (~v110(constB33)))))),
% 13.91/9.17 inference(modus_ponens,[status(thm)],[3484, 3483])).
% 13.91/9.17 tff(3486,plain,
% 13.91/9.17 (v100(constB33) <=> (~((~v101(constB33)) | (~v110(constB33))))),
% 13.91/9.17 inference(unit_resolution,[status(thm)],[3485, 3482, 430])).
% 13.91/9.17 tff(3487,plain,
% 13.91/9.17 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB32, constB33)) | (v101(constB33) <=> (~((~v1(constB33)) | (~v102(constB33))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB32, constB33)) | (v101(constB33) <=> (~((~v1(constB33)) | (~v102(constB33))))))),
% 13.91/9.17 inference(rewrite,[status(thm)],[])).
% 13.91/9.17 tff(3488,plain,
% 13.91/9.17 (((~nextState(constB32, constB33)) | (v101(constB33) <=> (~((~v102(constB33)) | (~v1(constB33)))))) <=> ((~nextState(constB32, constB33)) | (v101(constB33) <=> (~((~v1(constB33)) | (~v102(constB33))))))),
% 13.91/9.17 inference(rewrite,[status(thm)],[])).
% 13.91/9.17 tff(3489,plain,
% 13.91/9.17 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB32, constB33)) | (v101(constB33) <=> (~((~v102(constB33)) | (~v1(constB33))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB32, constB33)) | (v101(constB33) <=> (~((~v1(constB33)) | (~v102(constB33)))))))),
% 13.91/9.17 inference(monotonicity,[status(thm)],[3488])).
% 13.91/9.17 tff(3490,plain,
% 13.91/9.17 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB32, constB33)) | (v101(constB33) <=> (~((~v102(constB33)) | (~v1(constB33))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB32, constB33)) | (v101(constB33) <=> (~((~v1(constB33)) | (~v102(constB33))))))),
% 13.91/9.17 inference(transitivity,[status(thm)],[3489, 3487])).
% 13.91/9.17 tff(3491,plain,
% 13.91/9.17 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB32, constB33)) | (v101(constB33) <=> (~((~v102(constB33)) | (~v1(constB33))))))),
% 13.91/9.17 inference(quant_inst,[status(thm)],[])).
% 13.91/9.17 tff(3492,plain,
% 13.91/9.17 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB32, constB33)) | (v101(constB33) <=> (~((~v1(constB33)) | (~v102(constB33)))))),
% 13.91/9.17 inference(modus_ponens,[status(thm)],[3491, 3490])).
% 13.91/9.17 tff(3493,plain,
% 13.91/9.17 (v101(constB33) <=> (~((~v1(constB33)) | (~v102(constB33))))),
% 13.91/9.17 inference(unit_resolution,[status(thm)],[3492, 3482, 450])).
% 13.91/9.17 tff(3494,plain,
% 13.91/9.17 (((~v1(constB33)) | (~v102(constB33))) | v1(constB33)),
% 13.91/9.17 inference(tautology,[status(thm)],[])).
% 13.91/9.17 tff(3495,plain,
% 13.91/9.17 ((~v1(constB33)) | (~v102(constB33))),
% 13.91/9.17 inference(unit_resolution,[status(thm)],[3494, 3445])).
% 13.91/9.17 tff(3496,plain,
% 13.91/9.17 ((~(v101(constB33) <=> (~((~v1(constB33)) | (~v102(constB33)))))) | (~v101(constB33)) | (~((~v1(constB33)) | (~v102(constB33))))),
% 13.91/9.17 inference(tautology,[status(thm)],[])).
% 13.91/9.17 tff(3497,plain,
% 13.91/9.17 ((~(v101(constB33) <=> (~((~v1(constB33)) | (~v102(constB33)))))) | (~v101(constB33))),
% 13.91/9.17 inference(unit_resolution,[status(thm)],[3496, 3495])).
% 13.91/9.17 tff(3498,plain,
% 13.91/9.17 (~v101(constB33)),
% 13.91/9.17 inference(unit_resolution,[status(thm)],[3497, 3493])).
% 13.91/9.17 tff(3499,plain,
% 13.91/9.17 (((~v101(constB33)) | (~v110(constB33))) | v101(constB33)),
% 13.91/9.17 inference(tautology,[status(thm)],[])).
% 13.91/9.17 tff(3500,plain,
% 13.91/9.17 ((~v101(constB33)) | (~v110(constB33))),
% 13.91/9.17 inference(unit_resolution,[status(thm)],[3499, 3498])).
% 13.91/9.17 tff(3501,plain,
% 13.91/9.17 ((~(v100(constB33) <=> (~((~v101(constB33)) | (~v110(constB33)))))) | (~v100(constB33)) | (~((~v101(constB33)) | (~v110(constB33))))),
% 13.91/9.17 inference(tautology,[status(thm)],[])).
% 13.91/9.17 tff(3502,plain,
% 13.91/9.17 (~v100(constB33)),
% 13.91/9.17 inference(unit_resolution,[status(thm)],[3501, 3500, 3486])).
% 13.91/9.17 tff(3503,plain,
% 13.91/9.17 (((~![VarCurr: $i, VarNext: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v90(VarCurr, B))))) | (v100(constB33) | (~nextState(constB32, constB33)) | ![B: $i] : ((~less_3(B)) | (v90(constB33, B) <=> v90(constB32, B))))) <=> ((~![VarCurr: $i, VarNext: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v90(VarCurr, B))))) | v100(constB33) | (~nextState(constB32, constB33)) | ![B: $i] : ((~less_3(B)) | (v90(constB33, B) <=> v90(constB32, B))))),
% 13.91/9.17 inference(rewrite,[status(thm)],[])).
% 13.91/9.17 tff(3504,plain,
% 13.91/9.17 ((~![VarCurr: $i, VarNext: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v90(VarCurr, B))))) | (v100(constB33) | (~nextState(constB32, constB33)) | ![B: $i] : ((~less_3(B)) | (v90(constB33, B) <=> v90(constB32, B))))),
% 13.91/9.17 inference(quant_inst,[status(thm)],[])).
% 13.91/9.17 tff(3505,plain,
% 13.91/9.17 ((~![VarCurr: $i, VarNext: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v90(VarCurr, B))))) | v100(constB33) | (~nextState(constB32, constB33)) | ![B: $i] : ((~less_3(B)) | (v90(constB33, B) <=> v90(constB32, B)))),
% 13.91/9.17 inference(modus_ponens,[status(thm)],[3504, 3503])).
% 13.91/9.17 tff(3506,plain,
% 13.91/9.17 (v100(constB33) | ![B: $i] : ((~less_3(B)) | (v90(constB33, B) <=> v90(constB32, B)))),
% 13.91/9.17 inference(unit_resolution,[status(thm)],[3505, 3482, 479])).
% 13.91/9.17 tff(3507,plain,
% 13.91/9.17 (![B: $i] : ((~less_3(B)) | (v90(constB33, B) <=> v90(constB32, B)))),
% 13.91/9.17 inference(unit_resolution,[status(thm)],[3506, 3502])).
% 13.91/9.17 tff(3508,plain,
% 13.91/9.17 (((~![B: $i] : ((~less_3(B)) | (v90(constB33, B) <=> v90(constB32, B)))) | ((~less_3(bitIndex2)) | (v90(constB33, bitIndex2) <=> v90(constB32, bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v90(constB33, B) <=> v90(constB32, B)))) | (~less_3(bitIndex2)) | (v90(constB33, bitIndex2) <=> v90(constB32, bitIndex2)))),
% 13.91/9.17 inference(rewrite,[status(thm)],[])).
% 13.91/9.17 tff(3509,plain,
% 13.91/9.17 ((~![B: $i] : ((~less_3(B)) | (v90(constB33, B) <=> v90(constB32, B)))) | ((~less_3(bitIndex2)) | (v90(constB33, bitIndex2) <=> v90(constB32, bitIndex2)))),
% 13.91/9.17 inference(quant_inst,[status(thm)],[])).
% 13.91/9.17 tff(3510,plain,
% 13.91/9.17 ((~![B: $i] : ((~less_3(B)) | (v90(constB33, B) <=> v90(constB32, B)))) | (~less_3(bitIndex2)) | (v90(constB33, bitIndex2) <=> v90(constB32, bitIndex2))),
% 13.91/9.17 inference(modus_ponens,[status(thm)],[3509, 3508])).
% 13.91/9.17 tff(3511,plain,
% 13.91/9.17 (v90(constB33, bitIndex2) <=> v90(constB32, bitIndex2)),
% 13.91/9.17 inference(unit_resolution,[status(thm)],[3510, 413, 3507])).
% 13.91/9.17 tff(3512,plain,
% 13.91/9.17 (nextState(constB31, constB32) <=> nextState(constB31, constB32)),
% 13.91/9.17 inference(rewrite,[status(thm)],[])).
% 13.91/9.17 tff(3513,axiom,(nextState(constB31, constB32)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_31')).
% 13.91/9.17 tff(3514,plain,
% 13.91/9.17 (nextState(constB31, constB32)),
% 13.91/9.17 inference(modus_ponens,[status(thm)],[3513, 3512])).
% 13.91/9.17 tff(3515,plain,
% 13.91/9.17 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB31, constB32)) | (v100(constB32) <=> (~((~v101(constB32)) | (~v110(constB32))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB31, constB32)) | (v100(constB32) <=> (~((~v101(constB32)) | (~v110(constB32))))))),
% 13.91/9.17 inference(rewrite,[status(thm)],[])).
% 13.91/9.17 tff(3516,plain,
% 13.91/9.17 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB31, constB32)) | (v100(constB32) <=> (~((~v101(constB32)) | (~v110(constB32))))))),
% 13.91/9.17 inference(quant_inst,[status(thm)],[])).
% 13.91/9.17 tff(3517,plain,
% 13.91/9.17 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB31, constB32)) | (v100(constB32) <=> (~((~v101(constB32)) | (~v110(constB32)))))),
% 13.91/9.17 inference(modus_ponens,[status(thm)],[3516, 3515])).
% 13.91/9.17 tff(3518,plain,
% 13.91/9.17 (v100(constB32) <=> (~((~v101(constB32)) | (~v110(constB32))))),
% 13.91/9.17 inference(unit_resolution,[status(thm)],[3517, 3514, 430])).
% 13.91/9.17 tff(3519,plain,
% 13.91/9.17 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB31, constB32)) | (v101(constB32) <=> (~((~v1(constB32)) | (~v102(constB32))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB31, constB32)) | (v101(constB32) <=> (~((~v1(constB32)) | (~v102(constB32))))))),
% 13.91/9.17 inference(rewrite,[status(thm)],[])).
% 13.91/9.17 tff(3520,plain,
% 13.91/9.17 (((~nextState(constB31, constB32)) | (v101(constB32) <=> (~((~v102(constB32)) | (~v1(constB32)))))) <=> ((~nextState(constB31, constB32)) | (v101(constB32) <=> (~((~v1(constB32)) | (~v102(constB32))))))),
% 13.91/9.17 inference(rewrite,[status(thm)],[])).
% 13.91/9.17 tff(3521,plain,
% 13.91/9.17 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB31, constB32)) | (v101(constB32) <=> (~((~v102(constB32)) | (~v1(constB32))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB31, constB32)) | (v101(constB32) <=> (~((~v1(constB32)) | (~v102(constB32)))))))),
% 13.91/9.17 inference(monotonicity,[status(thm)],[3520])).
% 13.91/9.17 tff(3522,plain,
% 13.91/9.17 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB31, constB32)) | (v101(constB32) <=> (~((~v102(constB32)) | (~v1(constB32))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB31, constB32)) | (v101(constB32) <=> (~((~v1(constB32)) | (~v102(constB32))))))),
% 13.91/9.17 inference(transitivity,[status(thm)],[3521, 3519])).
% 13.91/9.17 tff(3523,plain,
% 13.91/9.17 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB31, constB32)) | (v101(constB32) <=> (~((~v102(constB32)) | (~v1(constB32))))))),
% 13.91/9.17 inference(quant_inst,[status(thm)],[])).
% 13.91/9.17 tff(3524,plain,
% 13.91/9.17 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB31, constB32)) | (v101(constB32) <=> (~((~v1(constB32)) | (~v102(constB32)))))),
% 13.91/9.17 inference(modus_ponens,[status(thm)],[3523, 3522])).
% 13.91/9.17 tff(3525,plain,
% 13.91/9.17 (v101(constB32) <=> (~((~v1(constB32)) | (~v102(constB32))))),
% 13.91/9.17 inference(unit_resolution,[status(thm)],[3524, 3514, 450])).
% 13.91/9.17 tff(3526,plain,
% 13.91/9.17 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | ((~nextState(constB31, constB32)) | ((~v102(constB32)) <=> v104(constB32)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | (~nextState(constB31, constB32)) | ((~v102(constB32)) <=> v104(constB32)))),
% 13.91/9.17 inference(rewrite,[status(thm)],[])).
% 13.91/9.17 tff(3527,plain,
% 13.91/9.17 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | ((~nextState(constB31, constB32)) | ((~v102(constB32)) <=> v104(constB32)))),
% 13.91/9.17 inference(quant_inst,[status(thm)],[])).
% 13.91/9.17 tff(3528,plain,
% 13.91/9.17 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | (~nextState(constB31, constB32)) | ((~v102(constB32)) <=> v104(constB32))),
% 13.91/9.17 inference(modus_ponens,[status(thm)],[3527, 3526])).
% 13.91/9.17 tff(3529,plain,
% 13.91/9.17 ((~v102(constB32)) <=> v104(constB32)),
% 13.91/9.17 inference(unit_resolution,[status(thm)],[3528, 3514, 512])).
% 13.91/9.17 tff(3530,plain,
% 13.91/9.17 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB31, constB32)) | (v104(constB32) <=> v1(constB31)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | (~nextState(constB31, constB32)) | (v104(constB32) <=> v1(constB31)))),
% 13.91/9.17 inference(rewrite,[status(thm)],[])).
% 13.91/9.17 tff(3531,plain,
% 13.91/9.17 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB31, constB32)) | (v104(constB32) <=> v1(constB31)))),
% 13.91/9.17 inference(quant_inst,[status(thm)],[])).
% 13.91/9.17 tff(3532,plain,
% 13.91/9.17 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | (~nextState(constB31, constB32)) | (v104(constB32) <=> v1(constB31))),
% 13.91/9.17 inference(modus_ponens,[status(thm)],[3531, 3530])).
% 13.91/9.17 tff(3533,plain,
% 13.91/9.17 (v104(constB32) <=> v1(constB31)),
% 13.91/9.17 inference(unit_resolution,[status(thm)],[3532, 3514, 526])).
% 13.91/9.17 tff(3534,plain,
% 13.91/9.17 ((~v1(constB31)) <=> (~v1(constB31))),
% 13.91/9.17 inference(rewrite,[status(thm)],[])).
% 13.91/9.17 tff(3535,axiom,(~v1(constB31)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_31')).
% 13.91/9.17 tff(3536,plain,
% 13.91/9.17 (~v1(constB31)),
% 13.91/9.17 inference(modus_ponens,[status(thm)],[3535, 3534])).
% 13.91/9.17 tff(3537,plain,
% 13.91/9.17 ((~(v104(constB32) <=> v1(constB31))) | (~v104(constB32)) | v1(constB31)),
% 13.91/9.17 inference(tautology,[status(thm)],[])).
% 13.91/9.17 tff(3538,plain,
% 13.91/9.17 ((~(v104(constB32) <=> v1(constB31))) | (~v104(constB32))),
% 13.91/9.17 inference(unit_resolution,[status(thm)],[3537, 3536])).
% 13.91/9.17 tff(3539,plain,
% 13.91/9.17 (~v104(constB32)),
% 13.91/9.17 inference(unit_resolution,[status(thm)],[3538, 3533])).
% 13.91/9.17 tff(3540,plain,
% 13.91/9.17 ((~((~v102(constB32)) <=> v104(constB32))) | v102(constB32) | v104(constB32)),
% 13.91/9.17 inference(tautology,[status(thm)],[])).
% 13.91/9.17 tff(3541,plain,
% 13.91/9.17 (v102(constB32)),
% 13.91/9.17 inference(unit_resolution,[status(thm)],[3540, 3539, 3529])).
% 13.91/9.17 tff(3542,plain,
% 13.91/9.17 (v1(constB32) <=> v1(constB32)),
% 13.91/9.17 inference(rewrite,[status(thm)],[])).
% 13.91/9.17 tff(3543,axiom,(v1(constB32)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_32')).
% 13.91/9.17 tff(3544,plain,
% 13.91/9.17 (v1(constB32)),
% 13.91/9.17 inference(modus_ponens,[status(thm)],[3543, 3542])).
% 13.91/9.17 tff(3545,plain,
% 13.91/9.17 ((~((~v1(constB32)) | (~v102(constB32)))) | (~v1(constB32)) | (~v102(constB32))),
% 13.91/9.17 inference(tautology,[status(thm)],[])).
% 13.91/9.17 tff(3546,plain,
% 13.91/9.17 ((~((~v1(constB32)) | (~v102(constB32)))) | (~v102(constB32))),
% 13.91/9.17 inference(unit_resolution,[status(thm)],[3545, 3544])).
% 13.91/9.17 tff(3547,plain,
% 13.91/9.17 (~((~v1(constB32)) | (~v102(constB32)))),
% 13.91/9.17 inference(unit_resolution,[status(thm)],[3546, 3541])).
% 13.91/9.17 tff(3548,plain,
% 13.91/9.17 ((~(v101(constB32) <=> (~((~v1(constB32)) | (~v102(constB32)))))) | v101(constB32) | ((~v1(constB32)) | (~v102(constB32)))),
% 13.91/9.17 inference(tautology,[status(thm)],[])).
% 13.91/9.17 tff(3549,plain,
% 13.91/9.17 (v101(constB32)),
% 13.91/9.17 inference(unit_resolution,[status(thm)],[3548, 3547, 3525])).
% 13.91/9.17 tff(3550,plain,
% 13.91/9.17 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | ((~nextState(constB31, constB32)) | (v110(constB32) <=> v108(constB31)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | (~nextState(constB31, constB32)) | (v110(constB32) <=> v108(constB31)))),
% 13.91/9.17 inference(rewrite,[status(thm)],[])).
% 13.91/9.17 tff(3551,plain,
% 13.91/9.17 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | ((~nextState(constB31, constB32)) | (v110(constB32) <=> v108(constB31)))),
% 13.91/9.17 inference(quant_inst,[status(thm)],[])).
% 13.91/9.17 tff(3552,plain,
% 13.91/9.17 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | (~nextState(constB31, constB32)) | (v110(constB32) <=> v108(constB31))),
% 13.91/9.17 inference(modus_ponens,[status(thm)],[3551, 3550])).
% 13.91/9.17 tff(3553,plain,
% 13.91/9.17 (v110(constB32) <=> v108(constB31)),
% 13.91/9.17 inference(unit_resolution,[status(thm)],[3552, 3514, 556])).
% 13.91/9.17 tff(3554,plain,
% 13.91/9.17 ((~![VarCurr: $i] : (v108(VarCurr) <=> (v111(VarCurr) | v112(VarCurr)))) | (v108(constB31) <=> (v111(constB31) | v112(constB31)))),
% 13.91/9.17 inference(quant_inst,[status(thm)],[])).
% 13.91/9.17 tff(3555,plain,
% 13.91/9.17 (v108(constB31) <=> (v111(constB31) | v112(constB31))),
% 13.91/9.17 inference(unit_resolution,[status(thm)],[3554, 567])).
% 13.91/9.17 tff(3556,plain,
% 13.91/9.17 ((~![VarCurr: $i] : (v112(VarCurr) <=> (~((~v113(VarCurr)) | (~v126(VarCurr)))))) | (v112(constB31) <=> (~((~v113(constB31)) | (~v126(constB31)))))),
% 13.91/9.17 inference(quant_inst,[status(thm)],[])).
% 13.91/9.17 tff(3557,plain,
% 13.91/9.17 (v112(constB31) <=> (~((~v113(constB31)) | (~v126(constB31))))),
% 13.91/9.17 inference(unit_resolution,[status(thm)],[3556, 579])).
% 13.91/9.17 tff(3558,plain,
% 13.91/9.17 ((~![VarCurr: $i] : (v113(VarCurr) <=> (v114(VarCurr) | v125(VarCurr)))) | (v113(constB31) <=> (v114(constB31) | v125(constB31)))),
% 13.91/9.17 inference(quant_inst,[status(thm)],[])).
% 13.91/9.17 tff(3559,plain,
% 13.91/9.17 (v113(constB31) <=> (v114(constB31) | v125(constB31))),
% 13.91/9.17 inference(unit_resolution,[status(thm)],[3558, 588])).
% 13.91/9.17 tff(3560,plain,
% 13.91/9.17 ((~![VarCurr: $i] : (v114(VarCurr) <=> (v115(VarCurr) | v124(VarCurr)))) | (v114(constB31) <=> (v115(constB31) | v124(constB31)))),
% 13.91/9.17 inference(quant_inst,[status(thm)],[])).
% 13.91/9.17 tff(3561,plain,
% 13.91/9.17 (v114(constB31) <=> (v115(constB31) | v124(constB31))),
% 13.91/9.17 inference(unit_resolution,[status(thm)],[3560, 597])).
% 13.91/9.17 tff(3562,plain,
% 13.91/9.17 ((~![VarCurr: $i] : (v115(VarCurr) <=> (v116(VarCurr) | v123(VarCurr)))) | (v115(constB31) <=> (v116(constB31) | v123(constB31)))),
% 13.91/9.17 inference(quant_inst,[status(thm)],[])).
% 13.91/9.17 tff(3563,plain,
% 13.91/9.17 (v115(constB31) <=> (v116(constB31) | v123(constB31))),
% 13.91/9.17 inference(unit_resolution,[status(thm)],[3562, 606])).
% 13.91/9.17 tff(3564,plain,
% 13.91/9.17 ((~![VarCurr: $i] : (v116(VarCurr) <=> (v117(VarCurr) | v122(VarCurr)))) | (v116(constB31) <=> (v117(constB31) | v122(constB31)))),
% 13.91/9.17 inference(quant_inst,[status(thm)],[])).
% 13.91/9.17 tff(3565,plain,
% 13.91/9.17 (v116(constB31) <=> (v117(constB31) | v122(constB31))),
% 13.91/9.17 inference(unit_resolution,[status(thm)],[3564, 719])).
% 13.91/9.17 tff(3566,plain,
% 13.91/9.17 (((~![VarCurr: $i] : (v122(VarCurr) <=> (~(v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)))))) | (v122(constB31) <=> (~(v90(constB31, bitIndex2) | (~v90(constB31, bitIndex1)) | (~v90(constB31, bitIndex0)))))) <=> ((~![VarCurr: $i] : (v122(VarCurr) <=> (~(v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)))))) | (v122(constB31) <=> (~(v90(constB31, bitIndex2) | (~v90(constB31, bitIndex1)) | (~v90(constB31, bitIndex0))))))),
% 13.91/9.18 inference(rewrite,[status(thm)],[])).
% 13.91/9.18 tff(3567,plain,
% 13.91/9.18 ((v122(constB31) <=> (~(v90(constB31, bitIndex2) | (~v90(constB31, bitIndex0)) | (~v90(constB31, bitIndex1))))) <=> (v122(constB31) <=> (~(v90(constB31, bitIndex2) | (~v90(constB31, bitIndex1)) | (~v90(constB31, bitIndex0)))))),
% 13.91/9.18 inference(rewrite,[status(thm)],[])).
% 13.91/9.18 tff(3568,plain,
% 13.91/9.18 (((~![VarCurr: $i] : (v122(VarCurr) <=> (~(v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)))))) | (v122(constB31) <=> (~(v90(constB31, bitIndex2) | (~v90(constB31, bitIndex0)) | (~v90(constB31, bitIndex1)))))) <=> ((~![VarCurr: $i] : (v122(VarCurr) <=> (~(v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)))))) | (v122(constB31) <=> (~(v90(constB31, bitIndex2) | (~v90(constB31, bitIndex1)) | (~v90(constB31, bitIndex0))))))),
% 13.91/9.18 inference(monotonicity,[status(thm)],[3567])).
% 13.91/9.18 tff(3569,plain,
% 13.91/9.18 (((~![VarCurr: $i] : (v122(VarCurr) <=> (~(v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)))))) | (v122(constB31) <=> (~(v90(constB31, bitIndex2) | (~v90(constB31, bitIndex0)) | (~v90(constB31, bitIndex1)))))) <=> ((~![VarCurr: $i] : (v122(VarCurr) <=> (~(v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)))))) | (v122(constB31) <=> (~(v90(constB31, bitIndex2) | (~v90(constB31, bitIndex1)) | (~v90(constB31, bitIndex0))))))),
% 13.91/9.18 inference(transitivity,[status(thm)],[3568, 3566])).
% 13.91/9.18 tff(3570,plain,
% 13.91/9.18 ((~![VarCurr: $i] : (v122(VarCurr) <=> (~(v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)))))) | (v122(constB31) <=> (~(v90(constB31, bitIndex2) | (~v90(constB31, bitIndex0)) | (~v90(constB31, bitIndex1)))))),
% 13.91/9.18 inference(quant_inst,[status(thm)],[])).
% 13.91/9.18 tff(3571,plain,
% 13.91/9.18 ((~![VarCurr: $i] : (v122(VarCurr) <=> (~(v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)))))) | (v122(constB31) <=> (~(v90(constB31, bitIndex2) | (~v90(constB31, bitIndex1)) | (~v90(constB31, bitIndex0)))))),
% 13.91/9.18 inference(modus_ponens,[status(thm)],[3570, 3569])).
% 13.91/9.18 tff(3572,plain,
% 13.91/9.18 (v122(constB31) <=> (~(v90(constB31, bitIndex2) | (~v90(constB31, bitIndex1)) | (~v90(constB31, bitIndex0))))),
% 13.91/9.18 inference(unit_resolution,[status(thm)],[3571, 734])).
% 13.91/9.18 tff(3573,plain,
% 13.91/9.18 (nextState(constB30, constB31) <=> nextState(constB30, constB31)),
% 13.91/9.18 inference(rewrite,[status(thm)],[])).
% 13.91/9.18 tff(3574,axiom,(nextState(constB30, constB31)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_30')).
% 13.91/9.18 tff(3575,plain,
% 13.91/9.18 (nextState(constB30, constB31)),
% 13.91/9.18 inference(modus_ponens,[status(thm)],[3574, 3573])).
% 13.91/9.18 tff(3576,plain,
% 13.91/9.18 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB30, constB31)) | (v100(constB31) <=> (~((~v101(constB31)) | (~v110(constB31))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB30, constB31)) | (v100(constB31) <=> (~((~v101(constB31)) | (~v110(constB31))))))),
% 13.91/9.18 inference(rewrite,[status(thm)],[])).
% 13.91/9.18 tff(3577,plain,
% 13.91/9.18 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB30, constB31)) | (v100(constB31) <=> (~((~v101(constB31)) | (~v110(constB31))))))),
% 13.91/9.18 inference(quant_inst,[status(thm)],[])).
% 13.91/9.18 tff(3578,plain,
% 13.91/9.18 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB30, constB31)) | (v100(constB31) <=> (~((~v101(constB31)) | (~v110(constB31)))))),
% 13.91/9.18 inference(modus_ponens,[status(thm)],[3577, 3576])).
% 13.91/9.18 tff(3579,plain,
% 13.91/9.18 (v100(constB31) <=> (~((~v101(constB31)) | (~v110(constB31))))),
% 13.91/9.18 inference(unit_resolution,[status(thm)],[3578, 3575, 430])).
% 13.91/9.18 tff(3580,plain,
% 13.91/9.18 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB30, constB31)) | (v101(constB31) <=> (~((~v1(constB31)) | (~v102(constB31))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB30, constB31)) | (v101(constB31) <=> (~((~v1(constB31)) | (~v102(constB31))))))),
% 13.91/9.18 inference(rewrite,[status(thm)],[])).
% 13.91/9.18 tff(3581,plain,
% 13.91/9.18 (((~nextState(constB30, constB31)) | (v101(constB31) <=> (~((~v102(constB31)) | (~v1(constB31)))))) <=> ((~nextState(constB30, constB31)) | (v101(constB31) <=> (~((~v1(constB31)) | (~v102(constB31))))))),
% 13.91/9.18 inference(rewrite,[status(thm)],[])).
% 13.91/9.18 tff(3582,plain,
% 13.91/9.18 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB30, constB31)) | (v101(constB31) <=> (~((~v102(constB31)) | (~v1(constB31))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB30, constB31)) | (v101(constB31) <=> (~((~v1(constB31)) | (~v102(constB31)))))))),
% 13.91/9.18 inference(monotonicity,[status(thm)],[3581])).
% 13.91/9.18 tff(3583,plain,
% 13.91/9.18 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB30, constB31)) | (v101(constB31) <=> (~((~v102(constB31)) | (~v1(constB31))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB30, constB31)) | (v101(constB31) <=> (~((~v1(constB31)) | (~v102(constB31))))))),
% 13.91/9.18 inference(transitivity,[status(thm)],[3582, 3580])).
% 13.91/9.18 tff(3584,plain,
% 13.91/9.18 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB30, constB31)) | (v101(constB31) <=> (~((~v102(constB31)) | (~v1(constB31))))))),
% 13.91/9.18 inference(quant_inst,[status(thm)],[])).
% 13.91/9.18 tff(3585,plain,
% 13.91/9.18 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB30, constB31)) | (v101(constB31) <=> (~((~v1(constB31)) | (~v102(constB31)))))),
% 13.91/9.18 inference(modus_ponens,[status(thm)],[3584, 3583])).
% 13.91/9.18 tff(3586,plain,
% 13.91/9.18 (v101(constB31) <=> (~((~v1(constB31)) | (~v102(constB31))))),
% 13.91/9.18 inference(unit_resolution,[status(thm)],[3585, 3575, 450])).
% 13.91/9.18 tff(3587,plain,
% 13.91/9.18 (((~v1(constB31)) | (~v102(constB31))) | v1(constB31)),
% 13.91/9.18 inference(tautology,[status(thm)],[])).
% 13.91/9.18 tff(3588,plain,
% 13.91/9.18 ((~v1(constB31)) | (~v102(constB31))),
% 13.91/9.18 inference(unit_resolution,[status(thm)],[3587, 3536])).
% 13.91/9.18 tff(3589,plain,
% 13.91/9.18 ((~(v101(constB31) <=> (~((~v1(constB31)) | (~v102(constB31)))))) | (~v101(constB31)) | (~((~v1(constB31)) | (~v102(constB31))))),
% 13.91/9.18 inference(tautology,[status(thm)],[])).
% 13.91/9.18 tff(3590,plain,
% 13.91/9.18 ((~(v101(constB31) <=> (~((~v1(constB31)) | (~v102(constB31)))))) | (~v101(constB31))),
% 13.91/9.18 inference(unit_resolution,[status(thm)],[3589, 3588])).
% 13.91/9.18 tff(3591,plain,
% 13.91/9.18 (~v101(constB31)),
% 13.91/9.18 inference(unit_resolution,[status(thm)],[3590, 3586])).
% 13.91/9.18 tff(3592,plain,
% 13.91/9.18 (((~v101(constB31)) | (~v110(constB31))) | v101(constB31)),
% 13.91/9.18 inference(tautology,[status(thm)],[])).
% 13.91/9.18 tff(3593,plain,
% 13.91/9.18 ((~v101(constB31)) | (~v110(constB31))),
% 13.91/9.18 inference(unit_resolution,[status(thm)],[3592, 3591])).
% 13.91/9.18 tff(3594,plain,
% 13.91/9.18 ((~(v100(constB31) <=> (~((~v101(constB31)) | (~v110(constB31)))))) | (~v100(constB31)) | (~((~v101(constB31)) | (~v110(constB31))))),
% 13.91/9.18 inference(tautology,[status(thm)],[])).
% 13.91/9.18 tff(3595,plain,
% 13.91/9.18 (~v100(constB31)),
% 13.91/9.18 inference(unit_resolution,[status(thm)],[3594, 3593, 3579])).
% 13.91/9.18 tff(3596,plain,
% 13.91/9.18 (((~![VarCurr: $i, VarNext: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v90(VarCurr, B))))) | (v100(constB31) | (~nextState(constB30, constB31)) | ![B: $i] : ((~less_3(B)) | (v90(constB31, B) <=> v90(constB30, B))))) <=> ((~![VarCurr: $i, VarNext: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v90(VarCurr, B))))) | v100(constB31) | (~nextState(constB30, constB31)) | ![B: $i] : ((~less_3(B)) | (v90(constB31, B) <=> v90(constB30, B))))),
% 13.91/9.18 inference(rewrite,[status(thm)],[])).
% 13.91/9.18 tff(3597,plain,
% 13.91/9.18 ((~![VarCurr: $i, VarNext: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v90(VarCurr, B))))) | (v100(constB31) | (~nextState(constB30, constB31)) | ![B: $i] : ((~less_3(B)) | (v90(constB31, B) <=> v90(constB30, B))))),
% 13.91/9.18 inference(quant_inst,[status(thm)],[])).
% 13.91/9.18 tff(3598,plain,
% 13.91/9.18 ((~![VarCurr: $i, VarNext: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v90(VarCurr, B))))) | v100(constB31) | (~nextState(constB30, constB31)) | ![B: $i] : ((~less_3(B)) | (v90(constB31, B) <=> v90(constB30, B)))),
% 13.91/9.18 inference(modus_ponens,[status(thm)],[3597, 3596])).
% 13.91/9.18 tff(3599,plain,
% 13.91/9.18 (v100(constB31) | ![B: $i] : ((~less_3(B)) | (v90(constB31, B) <=> v90(constB30, B)))),
% 13.91/9.18 inference(unit_resolution,[status(thm)],[3598, 3575, 479])).
% 13.91/9.18 tff(3600,plain,
% 13.91/9.18 (![B: $i] : ((~less_3(B)) | (v90(constB31, B) <=> v90(constB30, B)))),
% 13.91/9.18 inference(unit_resolution,[status(thm)],[3599, 3595])).
% 13.91/9.18 tff(3601,plain,
% 13.91/9.18 (((~![B: $i] : ((~less_3(B)) | (v90(constB31, B) <=> v90(constB30, B)))) | ((~less_3(bitIndex2)) | (v90(constB31, bitIndex2) <=> v90(constB30, bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v90(constB31, B) <=> v90(constB30, B)))) | (~less_3(bitIndex2)) | (v90(constB31, bitIndex2) <=> v90(constB30, bitIndex2)))),
% 13.91/9.18 inference(rewrite,[status(thm)],[])).
% 13.91/9.18 tff(3602,plain,
% 13.91/9.18 ((~![B: $i] : ((~less_3(B)) | (v90(constB31, B) <=> v90(constB30, B)))) | ((~less_3(bitIndex2)) | (v90(constB31, bitIndex2) <=> v90(constB30, bitIndex2)))),
% 13.91/9.18 inference(quant_inst,[status(thm)],[])).
% 13.91/9.18 tff(3603,plain,
% 13.91/9.18 ((~![B: $i] : ((~less_3(B)) | (v90(constB31, B) <=> v90(constB30, B)))) | (~less_3(bitIndex2)) | (v90(constB31, bitIndex2) <=> v90(constB30, bitIndex2))),
% 13.91/9.18 inference(modus_ponens,[status(thm)],[3602, 3601])).
% 13.91/9.18 tff(3604,plain,
% 13.91/9.18 (v90(constB31, bitIndex2) <=> v90(constB30, bitIndex2)),
% 13.91/9.18 inference(unit_resolution,[status(thm)],[3603, 413, 3600])).
% 13.91/9.18 tff(3605,plain,
% 13.91/9.18 (nextState(constB29, constB30) <=> nextState(constB29, constB30)),
% 13.91/9.18 inference(rewrite,[status(thm)],[])).
% 13.91/9.18 tff(3606,axiom,(nextState(constB29, constB30)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_29')).
% 13.91/9.18 tff(3607,plain,
% 13.91/9.18 (nextState(constB29, constB30)),
% 13.91/9.18 inference(modus_ponens,[status(thm)],[3606, 3605])).
% 13.91/9.18 tff(3608,plain,
% 13.91/9.18 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB29, constB30)) | (v100(constB30) <=> (~((~v101(constB30)) | (~v110(constB30))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB29, constB30)) | (v100(constB30) <=> (~((~v101(constB30)) | (~v110(constB30))))))),
% 13.91/9.18 inference(rewrite,[status(thm)],[])).
% 13.91/9.18 tff(3609,plain,
% 13.91/9.18 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB29, constB30)) | (v100(constB30) <=> (~((~v101(constB30)) | (~v110(constB30))))))),
% 13.91/9.18 inference(quant_inst,[status(thm)],[])).
% 13.91/9.18 tff(3610,plain,
% 13.91/9.18 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB29, constB30)) | (v100(constB30) <=> (~((~v101(constB30)) | (~v110(constB30)))))),
% 13.91/9.18 inference(modus_ponens,[status(thm)],[3609, 3608])).
% 13.91/9.18 tff(3611,plain,
% 13.91/9.18 (v100(constB30) <=> (~((~v101(constB30)) | (~v110(constB30))))),
% 13.91/9.18 inference(unit_resolution,[status(thm)],[3610, 3607, 430])).
% 13.91/9.18 tff(3612,plain,
% 13.91/9.18 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB29, constB30)) | (v101(constB30) <=> (~((~v1(constB30)) | (~v102(constB30))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB29, constB30)) | (v101(constB30) <=> (~((~v1(constB30)) | (~v102(constB30))))))),
% 13.91/9.18 inference(rewrite,[status(thm)],[])).
% 13.91/9.18 tff(3613,plain,
% 13.91/9.18 (((~nextState(constB29, constB30)) | (v101(constB30) <=> (~((~v102(constB30)) | (~v1(constB30)))))) <=> ((~nextState(constB29, constB30)) | (v101(constB30) <=> (~((~v1(constB30)) | (~v102(constB30))))))),
% 13.91/9.18 inference(rewrite,[status(thm)],[])).
% 13.91/9.18 tff(3614,plain,
% 13.91/9.18 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB29, constB30)) | (v101(constB30) <=> (~((~v102(constB30)) | (~v1(constB30))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB29, constB30)) | (v101(constB30) <=> (~((~v1(constB30)) | (~v102(constB30)))))))),
% 13.91/9.18 inference(monotonicity,[status(thm)],[3613])).
% 13.91/9.18 tff(3615,plain,
% 13.91/9.18 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB29, constB30)) | (v101(constB30) <=> (~((~v102(constB30)) | (~v1(constB30))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB29, constB30)) | (v101(constB30) <=> (~((~v1(constB30)) | (~v102(constB30))))))),
% 13.91/9.18 inference(transitivity,[status(thm)],[3614, 3612])).
% 13.91/9.18 tff(3616,plain,
% 13.91/9.18 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB29, constB30)) | (v101(constB30) <=> (~((~v102(constB30)) | (~v1(constB30))))))),
% 13.91/9.18 inference(quant_inst,[status(thm)],[])).
% 13.91/9.18 tff(3617,plain,
% 13.91/9.18 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB29, constB30)) | (v101(constB30) <=> (~((~v1(constB30)) | (~v102(constB30)))))),
% 13.91/9.18 inference(modus_ponens,[status(thm)],[3616, 3615])).
% 13.91/9.18 tff(3618,plain,
% 13.91/9.18 (v101(constB30) <=> (~((~v1(constB30)) | (~v102(constB30))))),
% 13.91/9.18 inference(unit_resolution,[status(thm)],[3617, 3607, 450])).
% 13.91/9.18 tff(3619,plain,
% 13.91/9.18 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | ((~nextState(constB29, constB30)) | ((~v102(constB30)) <=> v104(constB30)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | (~nextState(constB29, constB30)) | ((~v102(constB30)) <=> v104(constB30)))),
% 13.91/9.18 inference(rewrite,[status(thm)],[])).
% 13.91/9.18 tff(3620,plain,
% 13.91/9.18 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | ((~nextState(constB29, constB30)) | ((~v102(constB30)) <=> v104(constB30)))),
% 13.91/9.18 inference(quant_inst,[status(thm)],[])).
% 13.91/9.18 tff(3621,plain,
% 13.91/9.18 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | (~nextState(constB29, constB30)) | ((~v102(constB30)) <=> v104(constB30))),
% 13.91/9.18 inference(modus_ponens,[status(thm)],[3620, 3619])).
% 13.91/9.18 tff(3622,plain,
% 13.91/9.18 ((~v102(constB30)) <=> v104(constB30)),
% 13.91/9.18 inference(unit_resolution,[status(thm)],[3621, 3607, 512])).
% 13.91/9.18 tff(3623,plain,
% 13.91/9.18 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB29, constB30)) | (v104(constB30) <=> v1(constB29)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | (~nextState(constB29, constB30)) | (v104(constB30) <=> v1(constB29)))),
% 13.91/9.19 inference(rewrite,[status(thm)],[])).
% 13.91/9.19 tff(3624,plain,
% 13.91/9.19 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB29, constB30)) | (v104(constB30) <=> v1(constB29)))),
% 13.91/9.19 inference(quant_inst,[status(thm)],[])).
% 13.91/9.19 tff(3625,plain,
% 13.91/9.19 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | (~nextState(constB29, constB30)) | (v104(constB30) <=> v1(constB29))),
% 13.91/9.19 inference(modus_ponens,[status(thm)],[3624, 3623])).
% 13.91/9.19 tff(3626,plain,
% 13.91/9.19 (v104(constB30) <=> v1(constB29)),
% 13.91/9.19 inference(unit_resolution,[status(thm)],[3625, 3607, 526])).
% 13.91/9.19 tff(3627,plain,
% 13.91/9.19 ((~v1(constB29)) <=> (~v1(constB29))),
% 13.91/9.19 inference(rewrite,[status(thm)],[])).
% 13.91/9.19 tff(3628,axiom,(~v1(constB29)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_29')).
% 13.91/9.19 tff(3629,plain,
% 13.91/9.19 (~v1(constB29)),
% 13.91/9.19 inference(modus_ponens,[status(thm)],[3628, 3627])).
% 13.91/9.19 tff(3630,plain,
% 13.91/9.19 ((~(v104(constB30) <=> v1(constB29))) | (~v104(constB30)) | v1(constB29)),
% 13.91/9.19 inference(tautology,[status(thm)],[])).
% 13.91/9.19 tff(3631,plain,
% 13.91/9.19 ((~(v104(constB30) <=> v1(constB29))) | (~v104(constB30))),
% 13.91/9.19 inference(unit_resolution,[status(thm)],[3630, 3629])).
% 13.91/9.19 tff(3632,plain,
% 13.91/9.19 (~v104(constB30)),
% 13.91/9.19 inference(unit_resolution,[status(thm)],[3631, 3626])).
% 13.91/9.19 tff(3633,plain,
% 13.91/9.19 ((~((~v102(constB30)) <=> v104(constB30))) | v102(constB30) | v104(constB30)),
% 13.91/9.19 inference(tautology,[status(thm)],[])).
% 13.91/9.19 tff(3634,plain,
% 13.91/9.19 (v102(constB30)),
% 13.91/9.19 inference(unit_resolution,[status(thm)],[3633, 3632, 3622])).
% 13.91/9.19 tff(3635,plain,
% 13.91/9.19 (v1(constB30) <=> v1(constB30)),
% 13.91/9.19 inference(rewrite,[status(thm)],[])).
% 13.91/9.19 tff(3636,axiom,(v1(constB30)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_30')).
% 13.91/9.19 tff(3637,plain,
% 13.91/9.19 (v1(constB30)),
% 13.91/9.19 inference(modus_ponens,[status(thm)],[3636, 3635])).
% 13.91/9.19 tff(3638,plain,
% 13.91/9.19 ((~((~v1(constB30)) | (~v102(constB30)))) | (~v1(constB30)) | (~v102(constB30))),
% 13.91/9.19 inference(tautology,[status(thm)],[])).
% 13.91/9.19 tff(3639,plain,
% 13.91/9.19 ((~((~v1(constB30)) | (~v102(constB30)))) | (~v102(constB30))),
% 13.91/9.19 inference(unit_resolution,[status(thm)],[3638, 3637])).
% 13.91/9.19 tff(3640,plain,
% 13.91/9.19 (~((~v1(constB30)) | (~v102(constB30)))),
% 13.91/9.19 inference(unit_resolution,[status(thm)],[3639, 3634])).
% 13.91/9.19 tff(3641,plain,
% 13.91/9.19 ((~(v101(constB30) <=> (~((~v1(constB30)) | (~v102(constB30)))))) | v101(constB30) | ((~v1(constB30)) | (~v102(constB30)))),
% 13.91/9.19 inference(tautology,[status(thm)],[])).
% 13.91/9.19 tff(3642,plain,
% 13.91/9.19 (v101(constB30)),
% 13.91/9.19 inference(unit_resolution,[status(thm)],[3641, 3640, 3618])).
% 13.91/9.19 tff(3643,plain,
% 13.91/9.19 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | ((~nextState(constB29, constB30)) | (v110(constB30) <=> v108(constB29)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | (~nextState(constB29, constB30)) | (v110(constB30) <=> v108(constB29)))),
% 13.91/9.19 inference(rewrite,[status(thm)],[])).
% 13.91/9.19 tff(3644,plain,
% 13.91/9.19 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | ((~nextState(constB29, constB30)) | (v110(constB30) <=> v108(constB29)))),
% 13.91/9.19 inference(quant_inst,[status(thm)],[])).
% 13.91/9.19 tff(3645,plain,
% 13.91/9.19 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | (~nextState(constB29, constB30)) | (v110(constB30) <=> v108(constB29))),
% 13.91/9.19 inference(modus_ponens,[status(thm)],[3644, 3643])).
% 13.91/9.19 tff(3646,plain,
% 13.91/9.19 (v110(constB30) <=> v108(constB29)),
% 13.91/9.19 inference(unit_resolution,[status(thm)],[3645, 3607, 556])).
% 13.91/9.19 tff(3647,plain,
% 13.91/9.19 ((~![VarCurr: $i] : (v108(VarCurr) <=> (v111(VarCurr) | v112(VarCurr)))) | (v108(constB29) <=> (v111(constB29) | v112(constB29)))),
% 13.91/9.19 inference(quant_inst,[status(thm)],[])).
% 13.91/9.19 tff(3648,plain,
% 13.91/9.19 (v108(constB29) <=> (v111(constB29) | v112(constB29))),
% 13.91/9.19 inference(unit_resolution,[status(thm)],[3647, 567])).
% 13.91/9.19 tff(3649,plain,
% 13.91/9.19 ((~![VarCurr: $i] : (v112(VarCurr) <=> (~((~v113(VarCurr)) | (~v126(VarCurr)))))) | (v112(constB29) <=> (~((~v113(constB29)) | (~v126(constB29)))))),
% 13.91/9.19 inference(quant_inst,[status(thm)],[])).
% 13.91/9.19 tff(3650,plain,
% 13.91/9.19 (v112(constB29) <=> (~((~v113(constB29)) | (~v126(constB29))))),
% 13.91/9.19 inference(unit_resolution,[status(thm)],[3649, 579])).
% 13.91/9.19 tff(3651,plain,
% 13.91/9.19 ((~![VarCurr: $i] : (v113(VarCurr) <=> (v114(VarCurr) | v125(VarCurr)))) | (v113(constB29) <=> (v114(constB29) | v125(constB29)))),
% 13.91/9.19 inference(quant_inst,[status(thm)],[])).
% 13.91/9.19 tff(3652,plain,
% 13.91/9.19 (v113(constB29) <=> (v114(constB29) | v125(constB29))),
% 13.91/9.19 inference(unit_resolution,[status(thm)],[3651, 588])).
% 13.91/9.19 tff(3653,plain,
% 13.91/9.19 ((~![VarCurr: $i] : (v114(VarCurr) <=> (v115(VarCurr) | v124(VarCurr)))) | (v114(constB29) <=> (v115(constB29) | v124(constB29)))),
% 13.91/9.19 inference(quant_inst,[status(thm)],[])).
% 13.91/9.19 tff(3654,plain,
% 13.91/9.19 (v114(constB29) <=> (v115(constB29) | v124(constB29))),
% 13.91/9.19 inference(unit_resolution,[status(thm)],[3653, 597])).
% 13.91/9.19 tff(3655,plain,
% 13.91/9.19 ((~![VarCurr: $i] : (v115(VarCurr) <=> (v116(VarCurr) | v123(VarCurr)))) | (v115(constB29) <=> (v116(constB29) | v123(constB29)))),
% 13.91/9.19 inference(quant_inst,[status(thm)],[])).
% 13.91/9.19 tff(3656,plain,
% 13.91/9.19 (v115(constB29) <=> (v116(constB29) | v123(constB29))),
% 13.91/9.19 inference(unit_resolution,[status(thm)],[3655, 606])).
% 13.91/9.19 tff(3657,plain,
% 13.91/9.19 ((~![VarCurr: $i] : (v116(VarCurr) <=> (v117(VarCurr) | v122(VarCurr)))) | (v116(constB29) <=> (v117(constB29) | v122(constB29)))),
% 13.91/9.19 inference(quant_inst,[status(thm)],[])).
% 13.91/9.19 tff(3658,plain,
% 13.91/9.19 (v116(constB29) <=> (v117(constB29) | v122(constB29))),
% 13.91/9.19 inference(unit_resolution,[status(thm)],[3657, 719])).
% 13.91/9.19 tff(3659,plain,
% 13.91/9.19 ((~![VarCurr: $i] : (v117(VarCurr) <=> (v118(VarCurr) | v121(VarCurr)))) | (v117(constB29) <=> (v118(constB29) | v121(constB29)))),
% 13.91/9.19 inference(quant_inst,[status(thm)],[])).
% 13.91/9.19 tff(3660,plain,
% 13.91/9.19 (v117(constB29) <=> (v118(constB29) | v121(constB29))),
% 13.91/9.19 inference(unit_resolution,[status(thm)],[3659, 834])).
% 13.91/9.19 tff(3661,plain,
% 13.91/9.19 (((~![VarCurr: $i] : (v121(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex1)))))) | (v121(constB29) <=> (~(v90(constB29, bitIndex2) | (~v90(constB29, bitIndex1)) | v90(constB29, bitIndex0))))) <=> ((~![VarCurr: $i] : (v121(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex1)))))) | (v121(constB29) <=> (~(v90(constB29, bitIndex2) | (~v90(constB29, bitIndex1)) | v90(constB29, bitIndex0)))))),
% 13.91/9.19 inference(rewrite,[status(thm)],[])).
% 13.91/9.19 tff(3662,plain,
% 13.91/9.19 ((v121(constB29) <=> (~(v90(constB29, bitIndex0) | v90(constB29, bitIndex2) | (~v90(constB29, bitIndex1))))) <=> (v121(constB29) <=> (~(v90(constB29, bitIndex2) | (~v90(constB29, bitIndex1)) | v90(constB29, bitIndex0))))),
% 13.91/9.19 inference(rewrite,[status(thm)],[])).
% 13.91/9.19 tff(3663,plain,
% 13.91/9.19 (((~![VarCurr: $i] : (v121(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex1)))))) | (v121(constB29) <=> (~(v90(constB29, bitIndex0) | v90(constB29, bitIndex2) | (~v90(constB29, bitIndex1)))))) <=> ((~![VarCurr: $i] : (v121(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex1)))))) | (v121(constB29) <=> (~(v90(constB29, bitIndex2) | (~v90(constB29, bitIndex1)) | v90(constB29, bitIndex0)))))),
% 13.91/9.19 inference(monotonicity,[status(thm)],[3662])).
% 13.91/9.19 tff(3664,plain,
% 13.91/9.19 (((~![VarCurr: $i] : (v121(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex1)))))) | (v121(constB29) <=> (~(v90(constB29, bitIndex0) | v90(constB29, bitIndex2) | (~v90(constB29, bitIndex1)))))) <=> ((~![VarCurr: $i] : (v121(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex1)))))) | (v121(constB29) <=> (~(v90(constB29, bitIndex2) | (~v90(constB29, bitIndex1)) | v90(constB29, bitIndex0)))))),
% 13.91/9.19 inference(transitivity,[status(thm)],[3663, 3661])).
% 13.91/9.19 tff(3665,plain,
% 13.91/9.19 ((~![VarCurr: $i] : (v121(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex1)))))) | (v121(constB29) <=> (~(v90(constB29, bitIndex0) | v90(constB29, bitIndex2) | (~v90(constB29, bitIndex1)))))),
% 13.91/9.19 inference(quant_inst,[status(thm)],[])).
% 13.91/9.19 tff(3666,plain,
% 13.91/9.19 ((~![VarCurr: $i] : (v121(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex1)))))) | (v121(constB29) <=> (~(v90(constB29, bitIndex2) | (~v90(constB29, bitIndex1)) | v90(constB29, bitIndex0))))),
% 13.91/9.19 inference(modus_ponens,[status(thm)],[3665, 3664])).
% 13.91/9.19 tff(3667,plain,
% 13.91/9.19 (v121(constB29) <=> (~(v90(constB29, bitIndex2) | (~v90(constB29, bitIndex1)) | v90(constB29, bitIndex0)))),
% 13.91/9.19 inference(unit_resolution,[status(thm)],[3666, 849])).
% 13.91/9.19 tff(3668,plain,
% 13.91/9.19 (nextState(constB28, constB29) <=> nextState(constB28, constB29)),
% 13.91/9.19 inference(rewrite,[status(thm)],[])).
% 13.91/9.19 tff(3669,axiom,(nextState(constB28, constB29)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_28')).
% 13.91/9.19 tff(3670,plain,
% 13.91/9.19 (nextState(constB28, constB29)),
% 13.91/9.19 inference(modus_ponens,[status(thm)],[3669, 3668])).
% 13.91/9.19 tff(3671,plain,
% 13.91/9.19 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB28, constB29)) | (v100(constB29) <=> (~((~v101(constB29)) | (~v110(constB29))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB28, constB29)) | (v100(constB29) <=> (~((~v101(constB29)) | (~v110(constB29))))))),
% 13.91/9.19 inference(rewrite,[status(thm)],[])).
% 13.91/9.19 tff(3672,plain,
% 13.91/9.19 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB28, constB29)) | (v100(constB29) <=> (~((~v101(constB29)) | (~v110(constB29))))))),
% 13.91/9.19 inference(quant_inst,[status(thm)],[])).
% 13.91/9.19 tff(3673,plain,
% 13.91/9.19 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB28, constB29)) | (v100(constB29) <=> (~((~v101(constB29)) | (~v110(constB29)))))),
% 13.91/9.19 inference(modus_ponens,[status(thm)],[3672, 3671])).
% 13.91/9.19 tff(3674,plain,
% 13.91/9.19 (v100(constB29) <=> (~((~v101(constB29)) | (~v110(constB29))))),
% 13.91/9.19 inference(unit_resolution,[status(thm)],[3673, 3670, 430])).
% 13.91/9.19 tff(3675,plain,
% 13.91/9.19 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB28, constB29)) | (v101(constB29) <=> (~((~v1(constB29)) | (~v102(constB29))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB28, constB29)) | (v101(constB29) <=> (~((~v1(constB29)) | (~v102(constB29))))))),
% 13.91/9.19 inference(rewrite,[status(thm)],[])).
% 13.91/9.19 tff(3676,plain,
% 13.91/9.19 (((~nextState(constB28, constB29)) | (v101(constB29) <=> (~((~v102(constB29)) | (~v1(constB29)))))) <=> ((~nextState(constB28, constB29)) | (v101(constB29) <=> (~((~v1(constB29)) | (~v102(constB29))))))),
% 13.91/9.19 inference(rewrite,[status(thm)],[])).
% 13.91/9.19 tff(3677,plain,
% 13.91/9.19 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB28, constB29)) | (v101(constB29) <=> (~((~v102(constB29)) | (~v1(constB29))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB28, constB29)) | (v101(constB29) <=> (~((~v1(constB29)) | (~v102(constB29)))))))),
% 13.91/9.19 inference(monotonicity,[status(thm)],[3676])).
% 13.91/9.19 tff(3678,plain,
% 13.91/9.19 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB28, constB29)) | (v101(constB29) <=> (~((~v102(constB29)) | (~v1(constB29))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB28, constB29)) | (v101(constB29) <=> (~((~v1(constB29)) | (~v102(constB29))))))),
% 13.91/9.19 inference(transitivity,[status(thm)],[3677, 3675])).
% 13.91/9.19 tff(3679,plain,
% 13.91/9.19 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB28, constB29)) | (v101(constB29) <=> (~((~v102(constB29)) | (~v1(constB29))))))),
% 13.91/9.19 inference(quant_inst,[status(thm)],[])).
% 13.91/9.19 tff(3680,plain,
% 13.91/9.19 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB28, constB29)) | (v101(constB29) <=> (~((~v1(constB29)) | (~v102(constB29)))))),
% 13.91/9.19 inference(modus_ponens,[status(thm)],[3679, 3678])).
% 13.91/9.19 tff(3681,plain,
% 13.91/9.19 (v101(constB29) <=> (~((~v1(constB29)) | (~v102(constB29))))),
% 13.91/9.19 inference(unit_resolution,[status(thm)],[3680, 3670, 450])).
% 13.91/9.19 tff(3682,plain,
% 13.91/9.19 (((~v1(constB29)) | (~v102(constB29))) | v1(constB29)),
% 13.91/9.19 inference(tautology,[status(thm)],[])).
% 13.91/9.19 tff(3683,plain,
% 13.91/9.19 ((~v1(constB29)) | (~v102(constB29))),
% 13.91/9.19 inference(unit_resolution,[status(thm)],[3682, 3629])).
% 13.91/9.19 tff(3684,plain,
% 13.91/9.19 ((~(v101(constB29) <=> (~((~v1(constB29)) | (~v102(constB29)))))) | (~v101(constB29)) | (~((~v1(constB29)) | (~v102(constB29))))),
% 13.91/9.19 inference(tautology,[status(thm)],[])).
% 13.91/9.19 tff(3685,plain,
% 13.91/9.19 ((~(v101(constB29) <=> (~((~v1(constB29)) | (~v102(constB29)))))) | (~v101(constB29))),
% 13.91/9.19 inference(unit_resolution,[status(thm)],[3684, 3683])).
% 13.91/9.19 tff(3686,plain,
% 13.91/9.19 (~v101(constB29)),
% 13.91/9.19 inference(unit_resolution,[status(thm)],[3685, 3681])).
% 13.91/9.19 tff(3687,plain,
% 13.91/9.19 (((~v101(constB29)) | (~v110(constB29))) | v101(constB29)),
% 13.91/9.19 inference(tautology,[status(thm)],[])).
% 13.91/9.19 tff(3688,plain,
% 13.91/9.19 ((~v101(constB29)) | (~v110(constB29))),
% 13.91/9.19 inference(unit_resolution,[status(thm)],[3687, 3686])).
% 13.91/9.19 tff(3689,plain,
% 13.91/9.19 ((~(v100(constB29) <=> (~((~v101(constB29)) | (~v110(constB29)))))) | (~v100(constB29)) | (~((~v101(constB29)) | (~v110(constB29))))),
% 13.91/9.19 inference(tautology,[status(thm)],[])).
% 13.91/9.19 tff(3690,plain,
% 13.91/9.19 (~v100(constB29)),
% 13.91/9.19 inference(unit_resolution,[status(thm)],[3689, 3688, 3674])).
% 13.91/9.19 tff(3691,plain,
% 13.91/9.19 (((~![VarCurr: $i, VarNext: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v90(VarCurr, B))))) | (v100(constB29) | (~nextState(constB28, constB29)) | ![B: $i] : ((~less_3(B)) | (v90(constB29, B) <=> v90(constB28, B))))) <=> ((~![VarCurr: $i, VarNext: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v90(VarCurr, B))))) | v100(constB29) | (~nextState(constB28, constB29)) | ![B: $i] : ((~less_3(B)) | (v90(constB29, B) <=> v90(constB28, B))))),
% 13.91/9.19 inference(rewrite,[status(thm)],[])).
% 13.91/9.19 tff(3692,plain,
% 13.91/9.19 ((~![VarCurr: $i, VarNext: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v90(VarCurr, B))))) | (v100(constB29) | (~nextState(constB28, constB29)) | ![B: $i] : ((~less_3(B)) | (v90(constB29, B) <=> v90(constB28, B))))),
% 13.91/9.19 inference(quant_inst,[status(thm)],[])).
% 13.91/9.19 tff(3693,plain,
% 13.91/9.19 ((~![VarCurr: $i, VarNext: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v90(VarCurr, B))))) | v100(constB29) | (~nextState(constB28, constB29)) | ![B: $i] : ((~less_3(B)) | (v90(constB29, B) <=> v90(constB28, B)))),
% 13.91/9.19 inference(modus_ponens,[status(thm)],[3692, 3691])).
% 13.91/9.19 tff(3694,plain,
% 13.91/9.19 (v100(constB29) | ![B: $i] : ((~less_3(B)) | (v90(constB29, B) <=> v90(constB28, B)))),
% 13.91/9.19 inference(unit_resolution,[status(thm)],[3693, 3670, 479])).
% 13.91/9.19 tff(3695,plain,
% 13.91/9.19 (![B: $i] : ((~less_3(B)) | (v90(constB29, B) <=> v90(constB28, B)))),
% 13.91/9.19 inference(unit_resolution,[status(thm)],[3694, 3690])).
% 13.91/9.19 tff(3696,plain,
% 13.91/9.19 (((~![B: $i] : ((~less_3(B)) | (v90(constB29, B) <=> v90(constB28, B)))) | ((~less_3(bitIndex2)) | (v90(constB29, bitIndex2) <=> v90(constB28, bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v90(constB29, B) <=> v90(constB28, B)))) | (~less_3(bitIndex2)) | (v90(constB29, bitIndex2) <=> v90(constB28, bitIndex2)))),
% 13.91/9.19 inference(rewrite,[status(thm)],[])).
% 13.91/9.19 tff(3697,plain,
% 13.91/9.19 ((~![B: $i] : ((~less_3(B)) | (v90(constB29, B) <=> v90(constB28, B)))) | ((~less_3(bitIndex2)) | (v90(constB29, bitIndex2) <=> v90(constB28, bitIndex2)))),
% 13.91/9.20 inference(quant_inst,[status(thm)],[])).
% 13.91/9.20 tff(3698,plain,
% 13.91/9.20 ((~![B: $i] : ((~less_3(B)) | (v90(constB29, B) <=> v90(constB28, B)))) | (~less_3(bitIndex2)) | (v90(constB29, bitIndex2) <=> v90(constB28, bitIndex2))),
% 13.91/9.20 inference(modus_ponens,[status(thm)],[3697, 3696])).
% 13.91/9.20 tff(3699,plain,
% 13.91/9.20 (v90(constB29, bitIndex2) <=> v90(constB28, bitIndex2)),
% 13.91/9.20 inference(unit_resolution,[status(thm)],[3698, 413, 3695])).
% 13.91/9.20 tff(3700,plain,
% 13.91/9.20 (nextState(constB27, constB28) <=> nextState(constB27, constB28)),
% 13.91/9.20 inference(rewrite,[status(thm)],[])).
% 13.91/9.20 tff(3701,axiom,(nextState(constB27, constB28)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_27')).
% 13.91/9.20 tff(3702,plain,
% 13.91/9.20 (nextState(constB27, constB28)),
% 13.91/9.20 inference(modus_ponens,[status(thm)],[3701, 3700])).
% 13.91/9.20 tff(3703,plain,
% 13.91/9.20 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB27, constB28)) | (v100(constB28) <=> (~((~v101(constB28)) | (~v110(constB28))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB27, constB28)) | (v100(constB28) <=> (~((~v101(constB28)) | (~v110(constB28))))))),
% 13.91/9.20 inference(rewrite,[status(thm)],[])).
% 13.91/9.20 tff(3704,plain,
% 13.91/9.20 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB27, constB28)) | (v100(constB28) <=> (~((~v101(constB28)) | (~v110(constB28))))))),
% 13.91/9.20 inference(quant_inst,[status(thm)],[])).
% 13.91/9.20 tff(3705,plain,
% 13.91/9.20 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB27, constB28)) | (v100(constB28) <=> (~((~v101(constB28)) | (~v110(constB28)))))),
% 13.91/9.20 inference(modus_ponens,[status(thm)],[3704, 3703])).
% 13.91/9.20 tff(3706,plain,
% 13.91/9.20 (v100(constB28) <=> (~((~v101(constB28)) | (~v110(constB28))))),
% 13.91/9.20 inference(unit_resolution,[status(thm)],[3705, 3702, 430])).
% 13.91/9.20 tff(3707,plain,
% 13.91/9.20 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB27, constB28)) | (v101(constB28) <=> (~((~v1(constB28)) | (~v102(constB28))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB27, constB28)) | (v101(constB28) <=> (~((~v1(constB28)) | (~v102(constB28))))))),
% 13.91/9.20 inference(rewrite,[status(thm)],[])).
% 13.91/9.20 tff(3708,plain,
% 13.91/9.20 (((~nextState(constB27, constB28)) | (v101(constB28) <=> (~((~v102(constB28)) | (~v1(constB28)))))) <=> ((~nextState(constB27, constB28)) | (v101(constB28) <=> (~((~v1(constB28)) | (~v102(constB28))))))),
% 13.91/9.20 inference(rewrite,[status(thm)],[])).
% 13.91/9.20 tff(3709,plain,
% 13.91/9.20 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB27, constB28)) | (v101(constB28) <=> (~((~v102(constB28)) | (~v1(constB28))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB27, constB28)) | (v101(constB28) <=> (~((~v1(constB28)) | (~v102(constB28)))))))),
% 13.91/9.20 inference(monotonicity,[status(thm)],[3708])).
% 13.91/9.20 tff(3710,plain,
% 13.91/9.20 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB27, constB28)) | (v101(constB28) <=> (~((~v102(constB28)) | (~v1(constB28))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB27, constB28)) | (v101(constB28) <=> (~((~v1(constB28)) | (~v102(constB28))))))),
% 13.91/9.20 inference(transitivity,[status(thm)],[3709, 3707])).
% 13.91/9.20 tff(3711,plain,
% 13.91/9.20 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB27, constB28)) | (v101(constB28) <=> (~((~v102(constB28)) | (~v1(constB28))))))),
% 14.00/9.20 inference(quant_inst,[status(thm)],[])).
% 14.00/9.20 tff(3712,plain,
% 14.00/9.20 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB27, constB28)) | (v101(constB28) <=> (~((~v1(constB28)) | (~v102(constB28)))))),
% 14.00/9.20 inference(modus_ponens,[status(thm)],[3711, 3710])).
% 14.00/9.20 tff(3713,plain,
% 14.00/9.20 (v101(constB28) <=> (~((~v1(constB28)) | (~v102(constB28))))),
% 14.00/9.20 inference(unit_resolution,[status(thm)],[3712, 3702, 450])).
% 14.00/9.20 tff(3714,plain,
% 14.00/9.20 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | ((~nextState(constB27, constB28)) | ((~v102(constB28)) <=> v104(constB28)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | (~nextState(constB27, constB28)) | ((~v102(constB28)) <=> v104(constB28)))),
% 14.00/9.20 inference(rewrite,[status(thm)],[])).
% 14.00/9.20 tff(3715,plain,
% 14.00/9.20 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | ((~nextState(constB27, constB28)) | ((~v102(constB28)) <=> v104(constB28)))),
% 14.00/9.20 inference(quant_inst,[status(thm)],[])).
% 14.00/9.20 tff(3716,plain,
% 14.00/9.20 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | (~nextState(constB27, constB28)) | ((~v102(constB28)) <=> v104(constB28))),
% 14.00/9.20 inference(modus_ponens,[status(thm)],[3715, 3714])).
% 14.00/9.20 tff(3717,plain,
% 14.00/9.20 ((~v102(constB28)) <=> v104(constB28)),
% 14.00/9.20 inference(unit_resolution,[status(thm)],[3716, 3702, 512])).
% 14.00/9.20 tff(3718,plain,
% 14.00/9.20 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB27, constB28)) | (v104(constB28) <=> v1(constB27)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | (~nextState(constB27, constB28)) | (v104(constB28) <=> v1(constB27)))),
% 14.00/9.20 inference(rewrite,[status(thm)],[])).
% 14.00/9.20 tff(3719,plain,
% 14.00/9.20 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB27, constB28)) | (v104(constB28) <=> v1(constB27)))),
% 14.00/9.20 inference(quant_inst,[status(thm)],[])).
% 14.00/9.20 tff(3720,plain,
% 14.00/9.20 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | (~nextState(constB27, constB28)) | (v104(constB28) <=> v1(constB27))),
% 14.00/9.20 inference(modus_ponens,[status(thm)],[3719, 3718])).
% 14.00/9.20 tff(3721,plain,
% 14.00/9.20 (v104(constB28) <=> v1(constB27)),
% 14.00/9.20 inference(unit_resolution,[status(thm)],[3720, 3702, 526])).
% 14.00/9.20 tff(3722,plain,
% 14.00/9.20 ((~v1(constB27)) <=> (~v1(constB27))),
% 14.00/9.20 inference(rewrite,[status(thm)],[])).
% 14.00/9.20 tff(3723,axiom,(~v1(constB27)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_27')).
% 14.00/9.20 tff(3724,plain,
% 14.00/9.20 (~v1(constB27)),
% 14.00/9.20 inference(modus_ponens,[status(thm)],[3723, 3722])).
% 14.00/9.20 tff(3725,plain,
% 14.00/9.20 ((~(v104(constB28) <=> v1(constB27))) | (~v104(constB28)) | v1(constB27)),
% 14.00/9.20 inference(tautology,[status(thm)],[])).
% 14.00/9.20 tff(3726,plain,
% 14.00/9.20 ((~(v104(constB28) <=> v1(constB27))) | (~v104(constB28))),
% 14.00/9.20 inference(unit_resolution,[status(thm)],[3725, 3724])).
% 14.00/9.20 tff(3727,plain,
% 14.00/9.20 (~v104(constB28)),
% 14.00/9.20 inference(unit_resolution,[status(thm)],[3726, 3721])).
% 14.00/9.20 tff(3728,plain,
% 14.00/9.20 ((~((~v102(constB28)) <=> v104(constB28))) | v102(constB28) | v104(constB28)),
% 14.00/9.20 inference(tautology,[status(thm)],[])).
% 14.00/9.20 tff(3729,plain,
% 14.00/9.20 (v102(constB28)),
% 14.00/9.20 inference(unit_resolution,[status(thm)],[3728, 3727, 3717])).
% 14.00/9.20 tff(3730,plain,
% 14.00/9.20 (v1(constB28) <=> v1(constB28)),
% 14.00/9.20 inference(rewrite,[status(thm)],[])).
% 14.00/9.20 tff(3731,axiom,(v1(constB28)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_28')).
% 14.00/9.20 tff(3732,plain,
% 14.00/9.20 (v1(constB28)),
% 14.00/9.20 inference(modus_ponens,[status(thm)],[3731, 3730])).
% 14.00/9.20 tff(3733,plain,
% 14.00/9.20 ((~((~v1(constB28)) | (~v102(constB28)))) | (~v1(constB28)) | (~v102(constB28))),
% 14.00/9.20 inference(tautology,[status(thm)],[])).
% 14.00/9.20 tff(3734,plain,
% 14.00/9.20 ((~((~v1(constB28)) | (~v102(constB28)))) | (~v102(constB28))),
% 14.00/9.20 inference(unit_resolution,[status(thm)],[3733, 3732])).
% 14.00/9.20 tff(3735,plain,
% 14.00/9.20 (~((~v1(constB28)) | (~v102(constB28)))),
% 14.00/9.20 inference(unit_resolution,[status(thm)],[3734, 3729])).
% 14.00/9.20 tff(3736,plain,
% 14.00/9.20 ((~(v101(constB28) <=> (~((~v1(constB28)) | (~v102(constB28)))))) | v101(constB28) | ((~v1(constB28)) | (~v102(constB28)))),
% 14.00/9.20 inference(tautology,[status(thm)],[])).
% 14.00/9.20 tff(3737,plain,
% 14.00/9.20 (v101(constB28)),
% 14.00/9.20 inference(unit_resolution,[status(thm)],[3736, 3735, 3713])).
% 14.00/9.20 tff(3738,plain,
% 14.00/9.20 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | ((~nextState(constB27, constB28)) | (v110(constB28) <=> v108(constB27)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | (~nextState(constB27, constB28)) | (v110(constB28) <=> v108(constB27)))),
% 14.00/9.20 inference(rewrite,[status(thm)],[])).
% 14.00/9.20 tff(3739,plain,
% 14.00/9.20 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | ((~nextState(constB27, constB28)) | (v110(constB28) <=> v108(constB27)))),
% 14.00/9.20 inference(quant_inst,[status(thm)],[])).
% 14.00/9.20 tff(3740,plain,
% 14.00/9.20 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | (~nextState(constB27, constB28)) | (v110(constB28) <=> v108(constB27))),
% 14.00/9.20 inference(modus_ponens,[status(thm)],[3739, 3738])).
% 14.00/9.20 tff(3741,plain,
% 14.00/9.20 (v110(constB28) <=> v108(constB27)),
% 14.00/9.20 inference(unit_resolution,[status(thm)],[3740, 3702, 556])).
% 14.00/9.20 tff(3742,plain,
% 14.00/9.20 ((~![VarCurr: $i] : (v108(VarCurr) <=> (v111(VarCurr) | v112(VarCurr)))) | (v108(constB27) <=> (v111(constB27) | v112(constB27)))),
% 14.00/9.20 inference(quant_inst,[status(thm)],[])).
% 14.00/9.20 tff(3743,plain,
% 14.00/9.20 (v108(constB27) <=> (v111(constB27) | v112(constB27))),
% 14.00/9.20 inference(unit_resolution,[status(thm)],[3742, 567])).
% 14.00/9.20 tff(3744,plain,
% 14.00/9.20 ((~![VarCurr: $i] : (v112(VarCurr) <=> (~((~v113(VarCurr)) | (~v126(VarCurr)))))) | (v112(constB27) <=> (~((~v113(constB27)) | (~v126(constB27)))))),
% 14.00/9.20 inference(quant_inst,[status(thm)],[])).
% 14.00/9.20 tff(3745,plain,
% 14.00/9.20 (v112(constB27) <=> (~((~v113(constB27)) | (~v126(constB27))))),
% 14.00/9.20 inference(unit_resolution,[status(thm)],[3744, 579])).
% 14.00/9.20 tff(3746,plain,
% 14.00/9.20 ((~![VarCurr: $i] : (v113(VarCurr) <=> (v114(VarCurr) | v125(VarCurr)))) | (v113(constB27) <=> (v114(constB27) | v125(constB27)))),
% 14.00/9.20 inference(quant_inst,[status(thm)],[])).
% 14.00/9.20 tff(3747,plain,
% 14.00/9.20 (v113(constB27) <=> (v114(constB27) | v125(constB27))),
% 14.00/9.20 inference(unit_resolution,[status(thm)],[3746, 588])).
% 14.00/9.20 tff(3748,plain,
% 14.00/9.20 ((~![VarCurr: $i] : (v114(VarCurr) <=> (v115(VarCurr) | v124(VarCurr)))) | (v114(constB27) <=> (v115(constB27) | v124(constB27)))),
% 14.00/9.20 inference(quant_inst,[status(thm)],[])).
% 14.00/9.20 tff(3749,plain,
% 14.00/9.20 (v114(constB27) <=> (v115(constB27) | v124(constB27))),
% 14.00/9.20 inference(unit_resolution,[status(thm)],[3748, 597])).
% 14.00/9.20 tff(3750,plain,
% 14.00/9.20 ((~![VarCurr: $i] : (v115(VarCurr) <=> (v116(VarCurr) | v123(VarCurr)))) | (v115(constB27) <=> (v116(constB27) | v123(constB27)))),
% 14.00/9.20 inference(quant_inst,[status(thm)],[])).
% 14.00/9.20 tff(3751,plain,
% 14.00/9.20 (v115(constB27) <=> (v116(constB27) | v123(constB27))),
% 14.00/9.20 inference(unit_resolution,[status(thm)],[3750, 606])).
% 14.00/9.20 tff(3752,plain,
% 14.00/9.20 ((~![VarCurr: $i] : (v116(VarCurr) <=> (v117(VarCurr) | v122(VarCurr)))) | (v116(constB27) <=> (v117(constB27) | v122(constB27)))),
% 14.00/9.20 inference(quant_inst,[status(thm)],[])).
% 14.00/9.20 tff(3753,plain,
% 14.00/9.20 (v116(constB27) <=> (v117(constB27) | v122(constB27))),
% 14.00/9.20 inference(unit_resolution,[status(thm)],[3752, 719])).
% 14.00/9.20 tff(3754,plain,
% 14.00/9.20 ((~![VarCurr: $i] : (v117(VarCurr) <=> (v118(VarCurr) | v121(VarCurr)))) | (v117(constB27) <=> (v118(constB27) | v121(constB27)))),
% 14.00/9.20 inference(quant_inst,[status(thm)],[])).
% 14.00/9.20 tff(3755,plain,
% 14.00/9.20 (v117(constB27) <=> (v118(constB27) | v121(constB27))),
% 14.00/9.20 inference(unit_resolution,[status(thm)],[3754, 834])).
% 14.00/9.20 tff(3756,plain,
% 14.00/9.20 ((~![VarCurr: $i] : (v118(VarCurr) <=> (v119(VarCurr) | v120(VarCurr)))) | (v118(constB27) <=> (v119(constB27) | v120(constB27)))),
% 14.00/9.20 inference(quant_inst,[status(thm)],[])).
% 14.00/9.20 tff(3757,plain,
% 14.00/9.20 (v118(constB27) <=> (v119(constB27) | v120(constB27))),
% 14.00/9.20 inference(unit_resolution,[status(thm)],[3756, 951])).
% 14.00/9.20 tff(3758,plain,
% 14.00/9.20 (((~![VarCurr: $i] : (v120(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)))))) | (v120(constB27) <=> (~(v90(constB27, bitIndex2) | v90(constB27, bitIndex1) | (~v90(constB27, bitIndex0)))))) <=> ((~![VarCurr: $i] : (v120(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)))))) | (v120(constB27) <=> (~(v90(constB27, bitIndex2) | v90(constB27, bitIndex1) | (~v90(constB27, bitIndex0))))))),
% 14.00/9.20 inference(rewrite,[status(thm)],[])).
% 14.00/9.20 tff(3759,plain,
% 14.00/9.20 ((v120(constB27) <=> (~(v90(constB27, bitIndex1) | v90(constB27, bitIndex2) | (~v90(constB27, bitIndex0))))) <=> (v120(constB27) <=> (~(v90(constB27, bitIndex2) | v90(constB27, bitIndex1) | (~v90(constB27, bitIndex0)))))),
% 14.00/9.20 inference(rewrite,[status(thm)],[])).
% 14.00/9.20 tff(3760,plain,
% 14.00/9.20 (((~![VarCurr: $i] : (v120(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)))))) | (v120(constB27) <=> (~(v90(constB27, bitIndex1) | v90(constB27, bitIndex2) | (~v90(constB27, bitIndex0)))))) <=> ((~![VarCurr: $i] : (v120(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)))))) | (v120(constB27) <=> (~(v90(constB27, bitIndex2) | v90(constB27, bitIndex1) | (~v90(constB27, bitIndex0))))))),
% 14.00/9.20 inference(monotonicity,[status(thm)],[3759])).
% 14.00/9.20 tff(3761,plain,
% 14.00/9.20 (((~![VarCurr: $i] : (v120(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)))))) | (v120(constB27) <=> (~(v90(constB27, bitIndex1) | v90(constB27, bitIndex2) | (~v90(constB27, bitIndex0)))))) <=> ((~![VarCurr: $i] : (v120(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)))))) | (v120(constB27) <=> (~(v90(constB27, bitIndex2) | v90(constB27, bitIndex1) | (~v90(constB27, bitIndex0))))))),
% 14.00/9.20 inference(transitivity,[status(thm)],[3760, 3758])).
% 14.00/9.20 tff(3762,plain,
% 14.00/9.20 ((~![VarCurr: $i] : (v120(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)))))) | (v120(constB27) <=> (~(v90(constB27, bitIndex1) | v90(constB27, bitIndex2) | (~v90(constB27, bitIndex0)))))),
% 14.00/9.20 inference(quant_inst,[status(thm)],[])).
% 14.00/9.20 tff(3763,plain,
% 14.00/9.20 ((~![VarCurr: $i] : (v120(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)))))) | (v120(constB27) <=> (~(v90(constB27, bitIndex2) | v90(constB27, bitIndex1) | (~v90(constB27, bitIndex0)))))),
% 14.00/9.20 inference(modus_ponens,[status(thm)],[3762, 3761])).
% 14.00/9.20 tff(3764,plain,
% 14.00/9.20 (v120(constB27) <=> (~(v90(constB27, bitIndex2) | v90(constB27, bitIndex1) | (~v90(constB27, bitIndex0))))),
% 14.00/9.20 inference(unit_resolution,[status(thm)],[3763, 966])).
% 14.00/9.20 tff(3765,plain,
% 14.00/9.20 (nextState(constB26, constB27) <=> nextState(constB26, constB27)),
% 14.00/9.20 inference(rewrite,[status(thm)],[])).
% 14.00/9.20 tff(3766,axiom,(nextState(constB26, constB27)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_26')).
% 14.00/9.20 tff(3767,plain,
% 14.00/9.20 (nextState(constB26, constB27)),
% 14.00/9.20 inference(modus_ponens,[status(thm)],[3766, 3765])).
% 14.00/9.20 tff(3768,plain,
% 14.00/9.20 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB26, constB27)) | (v100(constB27) <=> (~((~v101(constB27)) | (~v110(constB27))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB26, constB27)) | (v100(constB27) <=> (~((~v101(constB27)) | (~v110(constB27))))))),
% 14.00/9.20 inference(rewrite,[status(thm)],[])).
% 14.00/9.20 tff(3769,plain,
% 14.00/9.20 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB26, constB27)) | (v100(constB27) <=> (~((~v101(constB27)) | (~v110(constB27))))))),
% 14.00/9.20 inference(quant_inst,[status(thm)],[])).
% 14.00/9.20 tff(3770,plain,
% 14.00/9.20 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB26, constB27)) | (v100(constB27) <=> (~((~v101(constB27)) | (~v110(constB27)))))),
% 14.00/9.20 inference(modus_ponens,[status(thm)],[3769, 3768])).
% 14.00/9.20 tff(3771,plain,
% 14.00/9.20 (v100(constB27) <=> (~((~v101(constB27)) | (~v110(constB27))))),
% 14.00/9.20 inference(unit_resolution,[status(thm)],[3770, 3767, 430])).
% 14.00/9.20 tff(3772,plain,
% 14.00/9.20 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB26, constB27)) | (v101(constB27) <=> (~((~v1(constB27)) | (~v102(constB27))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB26, constB27)) | (v101(constB27) <=> (~((~v1(constB27)) | (~v102(constB27))))))),
% 14.00/9.20 inference(rewrite,[status(thm)],[])).
% 14.00/9.20 tff(3773,plain,
% 14.00/9.20 (((~nextState(constB26, constB27)) | (v101(constB27) <=> (~((~v102(constB27)) | (~v1(constB27)))))) <=> ((~nextState(constB26, constB27)) | (v101(constB27) <=> (~((~v1(constB27)) | (~v102(constB27))))))),
% 14.00/9.20 inference(rewrite,[status(thm)],[])).
% 14.00/9.20 tff(3774,plain,
% 14.00/9.20 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB26, constB27)) | (v101(constB27) <=> (~((~v102(constB27)) | (~v1(constB27))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB26, constB27)) | (v101(constB27) <=> (~((~v1(constB27)) | (~v102(constB27)))))))),
% 14.00/9.20 inference(monotonicity,[status(thm)],[3773])).
% 14.00/9.20 tff(3775,plain,
% 14.00/9.20 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB26, constB27)) | (v101(constB27) <=> (~((~v102(constB27)) | (~v1(constB27))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB26, constB27)) | (v101(constB27) <=> (~((~v1(constB27)) | (~v102(constB27))))))),
% 14.00/9.21 inference(transitivity,[status(thm)],[3774, 3772])).
% 14.00/9.21 tff(3776,plain,
% 14.00/9.21 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB26, constB27)) | (v101(constB27) <=> (~((~v102(constB27)) | (~v1(constB27))))))),
% 14.00/9.21 inference(quant_inst,[status(thm)],[])).
% 14.00/9.21 tff(3777,plain,
% 14.00/9.21 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB26, constB27)) | (v101(constB27) <=> (~((~v1(constB27)) | (~v102(constB27)))))),
% 14.00/9.21 inference(modus_ponens,[status(thm)],[3776, 3775])).
% 14.00/9.21 tff(3778,plain,
% 14.00/9.21 (v101(constB27) <=> (~((~v1(constB27)) | (~v102(constB27))))),
% 14.00/9.21 inference(unit_resolution,[status(thm)],[3777, 3767, 450])).
% 14.00/9.21 tff(3779,plain,
% 14.00/9.21 (((~v1(constB27)) | (~v102(constB27))) | v1(constB27)),
% 14.00/9.21 inference(tautology,[status(thm)],[])).
% 14.00/9.21 tff(3780,plain,
% 14.00/9.21 ((~v1(constB27)) | (~v102(constB27))),
% 14.00/9.21 inference(unit_resolution,[status(thm)],[3779, 3724])).
% 14.00/9.21 tff(3781,plain,
% 14.00/9.21 ((~(v101(constB27) <=> (~((~v1(constB27)) | (~v102(constB27)))))) | (~v101(constB27)) | (~((~v1(constB27)) | (~v102(constB27))))),
% 14.00/9.21 inference(tautology,[status(thm)],[])).
% 14.00/9.21 tff(3782,plain,
% 14.00/9.21 ((~(v101(constB27) <=> (~((~v1(constB27)) | (~v102(constB27)))))) | (~v101(constB27))),
% 14.00/9.21 inference(unit_resolution,[status(thm)],[3781, 3780])).
% 14.00/9.21 tff(3783,plain,
% 14.00/9.21 (~v101(constB27)),
% 14.00/9.21 inference(unit_resolution,[status(thm)],[3782, 3778])).
% 14.00/9.21 tff(3784,plain,
% 14.00/9.21 (((~v101(constB27)) | (~v110(constB27))) | v101(constB27)),
% 14.00/9.21 inference(tautology,[status(thm)],[])).
% 14.00/9.21 tff(3785,plain,
% 14.00/9.21 ((~v101(constB27)) | (~v110(constB27))),
% 14.00/9.21 inference(unit_resolution,[status(thm)],[3784, 3783])).
% 14.00/9.21 tff(3786,plain,
% 14.00/9.21 ((~(v100(constB27) <=> (~((~v101(constB27)) | (~v110(constB27)))))) | (~v100(constB27)) | (~((~v101(constB27)) | (~v110(constB27))))),
% 14.00/9.21 inference(tautology,[status(thm)],[])).
% 14.00/9.21 tff(3787,plain,
% 14.00/9.21 (~v100(constB27)),
% 14.00/9.21 inference(unit_resolution,[status(thm)],[3786, 3785, 3771])).
% 14.00/9.21 tff(3788,plain,
% 14.00/9.21 (((~![VarCurr: $i, VarNext: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v90(VarCurr, B))))) | (v100(constB27) | (~nextState(constB26, constB27)) | ![B: $i] : ((~less_3(B)) | (v90(constB27, B) <=> v90(constB26, B))))) <=> ((~![VarCurr: $i, VarNext: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v90(VarCurr, B))))) | v100(constB27) | (~nextState(constB26, constB27)) | ![B: $i] : ((~less_3(B)) | (v90(constB27, B) <=> v90(constB26, B))))),
% 14.00/9.21 inference(rewrite,[status(thm)],[])).
% 14.00/9.21 tff(3789,plain,
% 14.00/9.21 ((~![VarCurr: $i, VarNext: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v90(VarCurr, B))))) | (v100(constB27) | (~nextState(constB26, constB27)) | ![B: $i] : ((~less_3(B)) | (v90(constB27, B) <=> v90(constB26, B))))),
% 14.00/9.21 inference(quant_inst,[status(thm)],[])).
% 14.00/9.21 tff(3790,plain,
% 14.00/9.21 ((~![VarCurr: $i, VarNext: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v90(VarCurr, B))))) | v100(constB27) | (~nextState(constB26, constB27)) | ![B: $i] : ((~less_3(B)) | (v90(constB27, B) <=> v90(constB26, B)))),
% 14.00/9.21 inference(modus_ponens,[status(thm)],[3789, 3788])).
% 14.00/9.21 tff(3791,plain,
% 14.00/9.21 (v100(constB27) | ![B: $i] : ((~less_3(B)) | (v90(constB27, B) <=> v90(constB26, B)))),
% 14.00/9.21 inference(unit_resolution,[status(thm)],[3790, 3767, 479])).
% 14.00/9.21 tff(3792,plain,
% 14.00/9.21 (![B: $i] : ((~less_3(B)) | (v90(constB27, B) <=> v90(constB26, B)))),
% 14.00/9.21 inference(unit_resolution,[status(thm)],[3791, 3787])).
% 14.00/9.21 tff(3793,plain,
% 14.00/9.21 (((~![B: $i] : ((~less_3(B)) | (v90(constB27, B) <=> v90(constB26, B)))) | ((~less_3(bitIndex2)) | (v90(constB27, bitIndex2) <=> v90(constB26, bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v90(constB27, B) <=> v90(constB26, B)))) | (~less_3(bitIndex2)) | (v90(constB27, bitIndex2) <=> v90(constB26, bitIndex2)))),
% 14.00/9.21 inference(rewrite,[status(thm)],[])).
% 14.00/9.21 tff(3794,plain,
% 14.00/9.21 ((~![B: $i] : ((~less_3(B)) | (v90(constB27, B) <=> v90(constB26, B)))) | ((~less_3(bitIndex2)) | (v90(constB27, bitIndex2) <=> v90(constB26, bitIndex2)))),
% 14.00/9.21 inference(quant_inst,[status(thm)],[])).
% 14.00/9.21 tff(3795,plain,
% 14.00/9.21 ((~![B: $i] : ((~less_3(B)) | (v90(constB27, B) <=> v90(constB26, B)))) | (~less_3(bitIndex2)) | (v90(constB27, bitIndex2) <=> v90(constB26, bitIndex2))),
% 14.00/9.21 inference(modus_ponens,[status(thm)],[3794, 3793])).
% 14.00/9.21 tff(3796,plain,
% 14.00/9.21 (v90(constB27, bitIndex2) <=> v90(constB26, bitIndex2)),
% 14.00/9.21 inference(unit_resolution,[status(thm)],[3795, 413, 3792])).
% 14.00/9.21 tff(3797,plain,
% 14.00/9.21 (nextState(constB25, constB26) <=> nextState(constB25, constB26)),
% 14.00/9.21 inference(rewrite,[status(thm)],[])).
% 14.00/9.21 tff(3798,axiom,(nextState(constB25, constB26)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_25')).
% 14.00/9.21 tff(3799,plain,
% 14.00/9.21 (nextState(constB25, constB26)),
% 14.00/9.21 inference(modus_ponens,[status(thm)],[3798, 3797])).
% 14.00/9.21 tff(3800,plain,
% 14.00/9.21 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB25, constB26)) | (v100(constB26) <=> (~((~v101(constB26)) | (~v110(constB26))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB25, constB26)) | (v100(constB26) <=> (~((~v101(constB26)) | (~v110(constB26))))))),
% 14.00/9.21 inference(rewrite,[status(thm)],[])).
% 14.00/9.21 tff(3801,plain,
% 14.00/9.21 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB25, constB26)) | (v100(constB26) <=> (~((~v101(constB26)) | (~v110(constB26))))))),
% 14.00/9.21 inference(quant_inst,[status(thm)],[])).
% 14.00/9.21 tff(3802,plain,
% 14.00/9.21 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB25, constB26)) | (v100(constB26) <=> (~((~v101(constB26)) | (~v110(constB26)))))),
% 14.00/9.21 inference(modus_ponens,[status(thm)],[3801, 3800])).
% 14.00/9.21 tff(3803,plain,
% 14.00/9.21 (v100(constB26) <=> (~((~v101(constB26)) | (~v110(constB26))))),
% 14.00/9.21 inference(unit_resolution,[status(thm)],[3802, 3799, 430])).
% 14.00/9.21 tff(3804,plain,
% 14.00/9.21 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB25, constB26)) | (v101(constB26) <=> (~((~v1(constB26)) | (~v102(constB26))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB25, constB26)) | (v101(constB26) <=> (~((~v1(constB26)) | (~v102(constB26))))))),
% 14.00/9.21 inference(rewrite,[status(thm)],[])).
% 14.00/9.21 tff(3805,plain,
% 14.00/9.21 (((~nextState(constB25, constB26)) | (v101(constB26) <=> (~((~v102(constB26)) | (~v1(constB26)))))) <=> ((~nextState(constB25, constB26)) | (v101(constB26) <=> (~((~v1(constB26)) | (~v102(constB26))))))),
% 14.00/9.21 inference(rewrite,[status(thm)],[])).
% 14.00/9.21 tff(3806,plain,
% 14.00/9.21 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB25, constB26)) | (v101(constB26) <=> (~((~v102(constB26)) | (~v1(constB26))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB25, constB26)) | (v101(constB26) <=> (~((~v1(constB26)) | (~v102(constB26)))))))),
% 14.00/9.21 inference(monotonicity,[status(thm)],[3805])).
% 14.00/9.21 tff(3807,plain,
% 14.00/9.21 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB25, constB26)) | (v101(constB26) <=> (~((~v102(constB26)) | (~v1(constB26))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB25, constB26)) | (v101(constB26) <=> (~((~v1(constB26)) | (~v102(constB26))))))),
% 14.00/9.21 inference(transitivity,[status(thm)],[3806, 3804])).
% 14.00/9.21 tff(3808,plain,
% 14.00/9.21 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB25, constB26)) | (v101(constB26) <=> (~((~v102(constB26)) | (~v1(constB26))))))),
% 14.00/9.21 inference(quant_inst,[status(thm)],[])).
% 14.00/9.21 tff(3809,plain,
% 14.00/9.21 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB25, constB26)) | (v101(constB26) <=> (~((~v1(constB26)) | (~v102(constB26)))))),
% 14.00/9.21 inference(modus_ponens,[status(thm)],[3808, 3807])).
% 14.00/9.21 tff(3810,plain,
% 14.00/9.21 (v101(constB26) <=> (~((~v1(constB26)) | (~v102(constB26))))),
% 14.00/9.21 inference(unit_resolution,[status(thm)],[3809, 3799, 450])).
% 14.00/9.21 tff(3811,plain,
% 14.00/9.21 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | ((~nextState(constB25, constB26)) | ((~v102(constB26)) <=> v104(constB26)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | (~nextState(constB25, constB26)) | ((~v102(constB26)) <=> v104(constB26)))),
% 14.00/9.21 inference(rewrite,[status(thm)],[])).
% 14.00/9.21 tff(3812,plain,
% 14.00/9.21 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | ((~nextState(constB25, constB26)) | ((~v102(constB26)) <=> v104(constB26)))),
% 14.00/9.21 inference(quant_inst,[status(thm)],[])).
% 14.00/9.21 tff(3813,plain,
% 14.00/9.21 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | (~nextState(constB25, constB26)) | ((~v102(constB26)) <=> v104(constB26))),
% 14.00/9.21 inference(modus_ponens,[status(thm)],[3812, 3811])).
% 14.00/9.21 tff(3814,plain,
% 14.00/9.21 ((~v102(constB26)) <=> v104(constB26)),
% 14.00/9.21 inference(unit_resolution,[status(thm)],[3813, 3799, 512])).
% 14.00/9.21 tff(3815,plain,
% 14.00/9.21 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB25, constB26)) | (v104(constB26) <=> v1(constB25)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | (~nextState(constB25, constB26)) | (v104(constB26) <=> v1(constB25)))),
% 14.00/9.21 inference(rewrite,[status(thm)],[])).
% 14.00/9.21 tff(3816,plain,
% 14.00/9.21 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB25, constB26)) | (v104(constB26) <=> v1(constB25)))),
% 14.00/9.21 inference(quant_inst,[status(thm)],[])).
% 14.00/9.21 tff(3817,plain,
% 14.00/9.21 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | (~nextState(constB25, constB26)) | (v104(constB26) <=> v1(constB25))),
% 14.00/9.21 inference(modus_ponens,[status(thm)],[3816, 3815])).
% 14.00/9.21 tff(3818,plain,
% 14.00/9.21 (v104(constB26) <=> v1(constB25)),
% 14.00/9.21 inference(unit_resolution,[status(thm)],[3817, 3799, 526])).
% 14.00/9.21 tff(3819,plain,
% 14.00/9.21 ((~v1(constB25)) <=> (~v1(constB25))),
% 14.00/9.21 inference(rewrite,[status(thm)],[])).
% 14.00/9.21 tff(3820,axiom,(~v1(constB25)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_25')).
% 14.00/9.21 tff(3821,plain,
% 14.00/9.21 (~v1(constB25)),
% 14.00/9.21 inference(modus_ponens,[status(thm)],[3820, 3819])).
% 14.00/9.21 tff(3822,plain,
% 14.00/9.21 ((~(v104(constB26) <=> v1(constB25))) | (~v104(constB26)) | v1(constB25)),
% 14.00/9.21 inference(tautology,[status(thm)],[])).
% 14.00/9.21 tff(3823,plain,
% 14.00/9.21 ((~(v104(constB26) <=> v1(constB25))) | (~v104(constB26))),
% 14.00/9.21 inference(unit_resolution,[status(thm)],[3822, 3821])).
% 14.00/9.21 tff(3824,plain,
% 14.00/9.21 (~v104(constB26)),
% 14.00/9.21 inference(unit_resolution,[status(thm)],[3823, 3818])).
% 14.00/9.21 tff(3825,plain,
% 14.00/9.21 ((~((~v102(constB26)) <=> v104(constB26))) | v102(constB26) | v104(constB26)),
% 14.00/9.21 inference(tautology,[status(thm)],[])).
% 14.00/9.21 tff(3826,plain,
% 14.00/9.21 (v102(constB26)),
% 14.00/9.21 inference(unit_resolution,[status(thm)],[3825, 3824, 3814])).
% 14.00/9.21 tff(3827,plain,
% 14.00/9.21 (v1(constB26) <=> v1(constB26)),
% 14.00/9.21 inference(rewrite,[status(thm)],[])).
% 14.00/9.21 tff(3828,axiom,(v1(constB26)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_26')).
% 14.00/9.21 tff(3829,plain,
% 14.00/9.21 (v1(constB26)),
% 14.00/9.21 inference(modus_ponens,[status(thm)],[3828, 3827])).
% 14.00/9.21 tff(3830,plain,
% 14.00/9.21 ((~((~v1(constB26)) | (~v102(constB26)))) | (~v1(constB26)) | (~v102(constB26))),
% 14.00/9.21 inference(tautology,[status(thm)],[])).
% 14.00/9.21 tff(3831,plain,
% 14.00/9.21 ((~((~v1(constB26)) | (~v102(constB26)))) | (~v102(constB26))),
% 14.00/9.21 inference(unit_resolution,[status(thm)],[3830, 3829])).
% 14.00/9.21 tff(3832,plain,
% 14.00/9.21 (~((~v1(constB26)) | (~v102(constB26)))),
% 14.00/9.21 inference(unit_resolution,[status(thm)],[3831, 3826])).
% 14.00/9.21 tff(3833,plain,
% 14.00/9.21 ((~(v101(constB26) <=> (~((~v1(constB26)) | (~v102(constB26)))))) | v101(constB26) | ((~v1(constB26)) | (~v102(constB26)))),
% 14.00/9.21 inference(tautology,[status(thm)],[])).
% 14.00/9.21 tff(3834,plain,
% 14.00/9.21 (v101(constB26)),
% 14.00/9.21 inference(unit_resolution,[status(thm)],[3833, 3832, 3810])).
% 14.00/9.21 tff(3835,plain,
% 14.00/9.21 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | ((~nextState(constB25, constB26)) | (v110(constB26) <=> v108(constB25)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | (~nextState(constB25, constB26)) | (v110(constB26) <=> v108(constB25)))),
% 14.00/9.21 inference(rewrite,[status(thm)],[])).
% 14.00/9.21 tff(3836,plain,
% 14.00/9.21 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | ((~nextState(constB25, constB26)) | (v110(constB26) <=> v108(constB25)))),
% 14.00/9.21 inference(quant_inst,[status(thm)],[])).
% 14.00/9.21 tff(3837,plain,
% 14.00/9.21 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | (~nextState(constB25, constB26)) | (v110(constB26) <=> v108(constB25))),
% 14.00/9.21 inference(modus_ponens,[status(thm)],[3836, 3835])).
% 14.00/9.21 tff(3838,plain,
% 14.00/9.21 (v110(constB26) <=> v108(constB25)),
% 14.00/9.21 inference(unit_resolution,[status(thm)],[3837, 3799, 556])).
% 14.00/9.21 tff(3839,plain,
% 14.00/9.21 ((~![VarCurr: $i] : (v108(VarCurr) <=> (v111(VarCurr) | v112(VarCurr)))) | (v108(constB25) <=> (v111(constB25) | v112(constB25)))),
% 14.00/9.21 inference(quant_inst,[status(thm)],[])).
% 14.00/9.21 tff(3840,plain,
% 14.00/9.21 (v108(constB25) <=> (v111(constB25) | v112(constB25))),
% 14.00/9.21 inference(unit_resolution,[status(thm)],[3839, 567])).
% 14.00/9.21 tff(3841,plain,
% 14.00/9.21 ((~![VarCurr: $i] : (v112(VarCurr) <=> (~((~v113(VarCurr)) | (~v126(VarCurr)))))) | (v112(constB25) <=> (~((~v113(constB25)) | (~v126(constB25)))))),
% 14.00/9.21 inference(quant_inst,[status(thm)],[])).
% 14.00/9.21 tff(3842,plain,
% 14.00/9.21 (v112(constB25) <=> (~((~v113(constB25)) | (~v126(constB25))))),
% 14.00/9.21 inference(unit_resolution,[status(thm)],[3841, 579])).
% 14.00/9.21 tff(3843,plain,
% 14.00/9.21 ((~![VarCurr: $i] : (v113(VarCurr) <=> (v114(VarCurr) | v125(VarCurr)))) | (v113(constB25) <=> (v114(constB25) | v125(constB25)))),
% 14.00/9.21 inference(quant_inst,[status(thm)],[])).
% 14.00/9.21 tff(3844,plain,
% 14.00/9.21 (v113(constB25) <=> (v114(constB25) | v125(constB25))),
% 14.00/9.21 inference(unit_resolution,[status(thm)],[3843, 588])).
% 14.00/9.21 tff(3845,plain,
% 14.00/9.21 (((~![VarCurr: $i] : (v125(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2)))))) | (v125(constB25) <=> (~((~v90(constB25, bitIndex2)) | (~v90(constB25, bitIndex1)) | v90(constB25, bitIndex0))))) <=> ((~![VarCurr: $i] : (v125(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2)))))) | (v125(constB25) <=> (~((~v90(constB25, bitIndex2)) | (~v90(constB25, bitIndex1)) | v90(constB25, bitIndex0)))))),
% 14.00/9.21 inference(rewrite,[status(thm)],[])).
% 14.00/9.21 tff(3846,plain,
% 14.00/9.21 ((v125(constB25) <=> (~(v90(constB25, bitIndex0) | (~v90(constB25, bitIndex1)) | (~v90(constB25, bitIndex2))))) <=> (v125(constB25) <=> (~((~v90(constB25, bitIndex2)) | (~v90(constB25, bitIndex1)) | v90(constB25, bitIndex0))))),
% 14.00/9.21 inference(rewrite,[status(thm)],[])).
% 14.00/9.21 tff(3847,plain,
% 14.00/9.21 (((~![VarCurr: $i] : (v125(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2)))))) | (v125(constB25) <=> (~(v90(constB25, bitIndex0) | (~v90(constB25, bitIndex1)) | (~v90(constB25, bitIndex2)))))) <=> ((~![VarCurr: $i] : (v125(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2)))))) | (v125(constB25) <=> (~((~v90(constB25, bitIndex2)) | (~v90(constB25, bitIndex1)) | v90(constB25, bitIndex0)))))),
% 14.00/9.21 inference(monotonicity,[status(thm)],[3846])).
% 14.00/9.21 tff(3848,plain,
% 14.00/9.21 (((~![VarCurr: $i] : (v125(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2)))))) | (v125(constB25) <=> (~(v90(constB25, bitIndex0) | (~v90(constB25, bitIndex1)) | (~v90(constB25, bitIndex2)))))) <=> ((~![VarCurr: $i] : (v125(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2)))))) | (v125(constB25) <=> (~((~v90(constB25, bitIndex2)) | (~v90(constB25, bitIndex1)) | v90(constB25, bitIndex0)))))),
% 14.00/9.21 inference(transitivity,[status(thm)],[3847, 3845])).
% 14.00/9.21 tff(3849,plain,
% 14.00/9.21 ((~![VarCurr: $i] : (v125(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2)))))) | (v125(constB25) <=> (~(v90(constB25, bitIndex0) | (~v90(constB25, bitIndex1)) | (~v90(constB25, bitIndex2)))))),
% 14.00/9.21 inference(quant_inst,[status(thm)],[])).
% 14.00/9.21 tff(3850,plain,
% 14.00/9.21 ((~![VarCurr: $i] : (v125(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2)))))) | (v125(constB25) <=> (~((~v90(constB25, bitIndex2)) | (~v90(constB25, bitIndex1)) | v90(constB25, bitIndex0))))),
% 14.00/9.21 inference(modus_ponens,[status(thm)],[3849, 3848])).
% 14.00/9.21 tff(3851,plain,
% 14.00/9.21 (v125(constB25) <=> (~((~v90(constB25, bitIndex2)) | (~v90(constB25, bitIndex1)) | v90(constB25, bitIndex0)))),
% 14.00/9.21 inference(unit_resolution,[status(thm)],[3850, 1066])).
% 14.00/9.21 tff(3852,plain,
% 14.00/9.21 (nextState(constB24, constB25) <=> nextState(constB24, constB25)),
% 14.00/9.21 inference(rewrite,[status(thm)],[])).
% 14.00/9.21 tff(3853,axiom,(nextState(constB24, constB25)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_24')).
% 14.00/9.21 tff(3854,plain,
% 14.00/9.21 (nextState(constB24, constB25)),
% 14.00/9.21 inference(modus_ponens,[status(thm)],[3853, 3852])).
% 14.00/9.21 tff(3855,plain,
% 14.00/9.21 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB24, constB25)) | (v100(constB25) <=> (~((~v101(constB25)) | (~v110(constB25))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB24, constB25)) | (v100(constB25) <=> (~((~v101(constB25)) | (~v110(constB25))))))),
% 14.00/9.21 inference(rewrite,[status(thm)],[])).
% 14.00/9.21 tff(3856,plain,
% 14.00/9.21 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB24, constB25)) | (v100(constB25) <=> (~((~v101(constB25)) | (~v110(constB25))))))),
% 14.00/9.21 inference(quant_inst,[status(thm)],[])).
% 14.00/9.21 tff(3857,plain,
% 14.00/9.21 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB24, constB25)) | (v100(constB25) <=> (~((~v101(constB25)) | (~v110(constB25)))))),
% 14.00/9.21 inference(modus_ponens,[status(thm)],[3856, 3855])).
% 14.00/9.21 tff(3858,plain,
% 14.00/9.21 (v100(constB25) <=> (~((~v101(constB25)) | (~v110(constB25))))),
% 14.00/9.21 inference(unit_resolution,[status(thm)],[3857, 3854, 430])).
% 14.00/9.21 tff(3859,plain,
% 14.00/9.21 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB24, constB25)) | (v101(constB25) <=> (~((~v1(constB25)) | (~v102(constB25))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB24, constB25)) | (v101(constB25) <=> (~((~v1(constB25)) | (~v102(constB25))))))),
% 14.00/9.21 inference(rewrite,[status(thm)],[])).
% 14.00/9.21 tff(3860,plain,
% 14.00/9.21 (((~nextState(constB24, constB25)) | (v101(constB25) <=> (~((~v102(constB25)) | (~v1(constB25)))))) <=> ((~nextState(constB24, constB25)) | (v101(constB25) <=> (~((~v1(constB25)) | (~v102(constB25))))))),
% 14.00/9.21 inference(rewrite,[status(thm)],[])).
% 14.00/9.21 tff(3861,plain,
% 14.00/9.21 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB24, constB25)) | (v101(constB25) <=> (~((~v102(constB25)) | (~v1(constB25))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB24, constB25)) | (v101(constB25) <=> (~((~v1(constB25)) | (~v102(constB25)))))))),
% 14.00/9.21 inference(monotonicity,[status(thm)],[3860])).
% 14.00/9.21 tff(3862,plain,
% 14.00/9.21 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB24, constB25)) | (v101(constB25) <=> (~((~v102(constB25)) | (~v1(constB25))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB24, constB25)) | (v101(constB25) <=> (~((~v1(constB25)) | (~v102(constB25))))))),
% 14.00/9.21 inference(transitivity,[status(thm)],[3861, 3859])).
% 14.00/9.21 tff(3863,plain,
% 14.00/9.21 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB24, constB25)) | (v101(constB25) <=> (~((~v102(constB25)) | (~v1(constB25))))))),
% 14.00/9.21 inference(quant_inst,[status(thm)],[])).
% 14.00/9.21 tff(3864,plain,
% 14.00/9.21 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB24, constB25)) | (v101(constB25) <=> (~((~v1(constB25)) | (~v102(constB25)))))),
% 14.00/9.21 inference(modus_ponens,[status(thm)],[3863, 3862])).
% 14.00/9.21 tff(3865,plain,
% 14.00/9.21 (v101(constB25) <=> (~((~v1(constB25)) | (~v102(constB25))))),
% 14.00/9.21 inference(unit_resolution,[status(thm)],[3864, 3854, 450])).
% 14.00/9.21 tff(3866,plain,
% 14.00/9.21 (((~v1(constB25)) | (~v102(constB25))) | v1(constB25)),
% 14.00/9.21 inference(tautology,[status(thm)],[])).
% 14.00/9.21 tff(3867,plain,
% 14.00/9.21 ((~v1(constB25)) | (~v102(constB25))),
% 14.00/9.21 inference(unit_resolution,[status(thm)],[3866, 3821])).
% 14.00/9.21 tff(3868,plain,
% 14.00/9.21 ((~(v101(constB25) <=> (~((~v1(constB25)) | (~v102(constB25)))))) | (~v101(constB25)) | (~((~v1(constB25)) | (~v102(constB25))))),
% 14.00/9.21 inference(tautology,[status(thm)],[])).
% 14.00/9.21 tff(3869,plain,
% 14.00/9.21 ((~(v101(constB25) <=> (~((~v1(constB25)) | (~v102(constB25)))))) | (~v101(constB25))),
% 14.00/9.21 inference(unit_resolution,[status(thm)],[3868, 3867])).
% 14.00/9.21 tff(3870,plain,
% 14.00/9.21 (~v101(constB25)),
% 14.00/9.21 inference(unit_resolution,[status(thm)],[3869, 3865])).
% 14.00/9.21 tff(3871,plain,
% 14.00/9.21 (((~v101(constB25)) | (~v110(constB25))) | v101(constB25)),
% 14.00/9.21 inference(tautology,[status(thm)],[])).
% 14.00/9.21 tff(3872,plain,
% 14.00/9.21 ((~v101(constB25)) | (~v110(constB25))),
% 14.00/9.21 inference(unit_resolution,[status(thm)],[3871, 3870])).
% 14.00/9.21 tff(3873,plain,
% 14.00/9.21 ((~(v100(constB25) <=> (~((~v101(constB25)) | (~v110(constB25)))))) | (~v100(constB25)) | (~((~v101(constB25)) | (~v110(constB25))))),
% 14.00/9.21 inference(tautology,[status(thm)],[])).
% 14.00/9.21 tff(3874,plain,
% 14.00/9.21 (~v100(constB25)),
% 14.00/9.21 inference(unit_resolution,[status(thm)],[3873, 3872, 3858])).
% 14.00/9.21 tff(3875,plain,
% 14.00/9.21 (((~![VarCurr: $i, VarNext: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v90(VarCurr, B))))) | (v100(constB25) | (~nextState(constB24, constB25)) | ![B: $i] : ((~less_3(B)) | (v90(constB25, B) <=> v90(constB24, B))))) <=> ((~![VarCurr: $i, VarNext: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v90(VarCurr, B))))) | v100(constB25) | (~nextState(constB24, constB25)) | ![B: $i] : ((~less_3(B)) | (v90(constB25, B) <=> v90(constB24, B))))),
% 14.00/9.21 inference(rewrite,[status(thm)],[])).
% 14.00/9.21 tff(3876,plain,
% 14.00/9.21 ((~![VarCurr: $i, VarNext: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v90(VarCurr, B))))) | (v100(constB25) | (~nextState(constB24, constB25)) | ![B: $i] : ((~less_3(B)) | (v90(constB25, B) <=> v90(constB24, B))))),
% 14.00/9.21 inference(quant_inst,[status(thm)],[])).
% 14.00/9.21 tff(3877,plain,
% 14.00/9.21 ((~![VarCurr: $i, VarNext: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v90(VarCurr, B))))) | v100(constB25) | (~nextState(constB24, constB25)) | ![B: $i] : ((~less_3(B)) | (v90(constB25, B) <=> v90(constB24, B)))),
% 14.00/9.21 inference(modus_ponens,[status(thm)],[3876, 3875])).
% 14.00/9.21 tff(3878,plain,
% 14.00/9.21 (v100(constB25) | ![B: $i] : ((~less_3(B)) | (v90(constB25, B) <=> v90(constB24, B)))),
% 14.00/9.21 inference(unit_resolution,[status(thm)],[3877, 3854, 479])).
% 14.00/9.21 tff(3879,plain,
% 14.00/9.21 (![B: $i] : ((~less_3(B)) | (v90(constB25, B) <=> v90(constB24, B)))),
% 14.00/9.21 inference(unit_resolution,[status(thm)],[3878, 3874])).
% 14.00/9.21 tff(3880,plain,
% 14.00/9.21 (((~![B: $i] : ((~less_3(B)) | (v90(constB25, B) <=> v90(constB24, B)))) | ((~less_3(bitIndex2)) | (v90(constB25, bitIndex2) <=> v90(constB24, bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v90(constB25, B) <=> v90(constB24, B)))) | (~less_3(bitIndex2)) | (v90(constB25, bitIndex2) <=> v90(constB24, bitIndex2)))),
% 14.00/9.21 inference(rewrite,[status(thm)],[])).
% 14.00/9.21 tff(3881,plain,
% 14.00/9.21 ((~![B: $i] : ((~less_3(B)) | (v90(constB25, B) <=> v90(constB24, B)))) | ((~less_3(bitIndex2)) | (v90(constB25, bitIndex2) <=> v90(constB24, bitIndex2)))),
% 14.00/9.21 inference(quant_inst,[status(thm)],[])).
% 14.00/9.21 tff(3882,plain,
% 14.00/9.21 ((~![B: $i] : ((~less_3(B)) | (v90(constB25, B) <=> v90(constB24, B)))) | (~less_3(bitIndex2)) | (v90(constB25, bitIndex2) <=> v90(constB24, bitIndex2))),
% 14.00/9.21 inference(modus_ponens,[status(thm)],[3881, 3880])).
% 14.00/9.21 tff(3883,plain,
% 14.00/9.21 (v90(constB25, bitIndex2) <=> v90(constB24, bitIndex2)),
% 14.00/9.21 inference(unit_resolution,[status(thm)],[3882, 413, 3879])).
% 14.00/9.21 tff(3884,plain,
% 14.00/9.21 (nextState(constB23, constB24) <=> nextState(constB23, constB24)),
% 14.00/9.21 inference(rewrite,[status(thm)],[])).
% 14.00/9.21 tff(3885,axiom,(nextState(constB23, constB24)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_23')).
% 14.00/9.21 tff(3886,plain,
% 14.00/9.22 (nextState(constB23, constB24)),
% 14.00/9.22 inference(modus_ponens,[status(thm)],[3885, 3884])).
% 14.00/9.22 tff(3887,plain,
% 14.00/9.22 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB23, constB24)) | (v100(constB24) <=> (~((~v101(constB24)) | (~v110(constB24))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB23, constB24)) | (v100(constB24) <=> (~((~v101(constB24)) | (~v110(constB24))))))),
% 14.00/9.22 inference(rewrite,[status(thm)],[])).
% 14.00/9.22 tff(3888,plain,
% 14.00/9.22 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB23, constB24)) | (v100(constB24) <=> (~((~v101(constB24)) | (~v110(constB24))))))),
% 14.00/9.22 inference(quant_inst,[status(thm)],[])).
% 14.00/9.22 tff(3889,plain,
% 14.00/9.22 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB23, constB24)) | (v100(constB24) <=> (~((~v101(constB24)) | (~v110(constB24)))))),
% 14.00/9.22 inference(modus_ponens,[status(thm)],[3888, 3887])).
% 14.00/9.22 tff(3890,plain,
% 14.00/9.22 (v100(constB24) <=> (~((~v101(constB24)) | (~v110(constB24))))),
% 14.00/9.22 inference(unit_resolution,[status(thm)],[3889, 3886, 430])).
% 14.00/9.22 tff(3891,plain,
% 14.00/9.22 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB23, constB24)) | (v101(constB24) <=> (~((~v1(constB24)) | (~v102(constB24))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB23, constB24)) | (v101(constB24) <=> (~((~v1(constB24)) | (~v102(constB24))))))),
% 14.00/9.22 inference(rewrite,[status(thm)],[])).
% 14.00/9.22 tff(3892,plain,
% 14.00/9.22 (((~nextState(constB23, constB24)) | (v101(constB24) <=> (~((~v102(constB24)) | (~v1(constB24)))))) <=> ((~nextState(constB23, constB24)) | (v101(constB24) <=> (~((~v1(constB24)) | (~v102(constB24))))))),
% 14.00/9.22 inference(rewrite,[status(thm)],[])).
% 14.00/9.22 tff(3893,plain,
% 14.00/9.22 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB23, constB24)) | (v101(constB24) <=> (~((~v102(constB24)) | (~v1(constB24))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB23, constB24)) | (v101(constB24) <=> (~((~v1(constB24)) | (~v102(constB24)))))))),
% 14.00/9.22 inference(monotonicity,[status(thm)],[3892])).
% 14.00/9.22 tff(3894,plain,
% 14.00/9.22 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB23, constB24)) | (v101(constB24) <=> (~((~v102(constB24)) | (~v1(constB24))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB23, constB24)) | (v101(constB24) <=> (~((~v1(constB24)) | (~v102(constB24))))))),
% 14.00/9.22 inference(transitivity,[status(thm)],[3893, 3891])).
% 14.00/9.22 tff(3895,plain,
% 14.00/9.22 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB23, constB24)) | (v101(constB24) <=> (~((~v102(constB24)) | (~v1(constB24))))))),
% 14.00/9.22 inference(quant_inst,[status(thm)],[])).
% 14.00/9.22 tff(3896,plain,
% 14.00/9.22 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB23, constB24)) | (v101(constB24) <=> (~((~v1(constB24)) | (~v102(constB24)))))),
% 14.00/9.22 inference(modus_ponens,[status(thm)],[3895, 3894])).
% 14.00/9.22 tff(3897,plain,
% 14.00/9.22 (v101(constB24) <=> (~((~v1(constB24)) | (~v102(constB24))))),
% 14.00/9.22 inference(unit_resolution,[status(thm)],[3896, 3886, 450])).
% 14.00/9.22 tff(3898,plain,
% 14.00/9.22 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | ((~nextState(constB23, constB24)) | ((~v102(constB24)) <=> v104(constB24)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | (~nextState(constB23, constB24)) | ((~v102(constB24)) <=> v104(constB24)))),
% 14.00/9.22 inference(rewrite,[status(thm)],[])).
% 14.00/9.22 tff(3899,plain,
% 14.00/9.22 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | ((~nextState(constB23, constB24)) | ((~v102(constB24)) <=> v104(constB24)))),
% 14.00/9.22 inference(quant_inst,[status(thm)],[])).
% 14.00/9.22 tff(3900,plain,
% 14.00/9.22 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | (~nextState(constB23, constB24)) | ((~v102(constB24)) <=> v104(constB24))),
% 14.00/9.22 inference(modus_ponens,[status(thm)],[3899, 3898])).
% 14.00/9.22 tff(3901,plain,
% 14.00/9.22 ((~v102(constB24)) <=> v104(constB24)),
% 14.00/9.22 inference(unit_resolution,[status(thm)],[3900, 3886, 512])).
% 14.00/9.22 tff(3902,plain,
% 14.00/9.22 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB23, constB24)) | (v104(constB24) <=> v1(constB23)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | (~nextState(constB23, constB24)) | (v104(constB24) <=> v1(constB23)))),
% 14.00/9.22 inference(rewrite,[status(thm)],[])).
% 14.00/9.22 tff(3903,plain,
% 14.00/9.22 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB23, constB24)) | (v104(constB24) <=> v1(constB23)))),
% 14.00/9.22 inference(quant_inst,[status(thm)],[])).
% 14.00/9.22 tff(3904,plain,
% 14.00/9.22 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | (~nextState(constB23, constB24)) | (v104(constB24) <=> v1(constB23))),
% 14.00/9.22 inference(modus_ponens,[status(thm)],[3903, 3902])).
% 14.00/9.22 tff(3905,plain,
% 14.00/9.22 (v104(constB24) <=> v1(constB23)),
% 14.00/9.22 inference(unit_resolution,[status(thm)],[3904, 3886, 526])).
% 14.00/9.22 tff(3906,plain,
% 14.00/9.22 ((~v1(constB23)) <=> (~v1(constB23))),
% 14.00/9.22 inference(rewrite,[status(thm)],[])).
% 14.00/9.22 tff(3907,axiom,(~v1(constB23)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_23')).
% 14.00/9.22 tff(3908,plain,
% 14.00/9.22 (~v1(constB23)),
% 14.00/9.22 inference(modus_ponens,[status(thm)],[3907, 3906])).
% 14.00/9.22 tff(3909,plain,
% 14.00/9.22 ((~(v104(constB24) <=> v1(constB23))) | (~v104(constB24)) | v1(constB23)),
% 14.00/9.22 inference(tautology,[status(thm)],[])).
% 14.00/9.22 tff(3910,plain,
% 14.00/9.22 ((~(v104(constB24) <=> v1(constB23))) | (~v104(constB24))),
% 14.00/9.22 inference(unit_resolution,[status(thm)],[3909, 3908])).
% 14.00/9.22 tff(3911,plain,
% 14.00/9.22 (~v104(constB24)),
% 14.00/9.22 inference(unit_resolution,[status(thm)],[3910, 3905])).
% 14.00/9.22 tff(3912,plain,
% 14.00/9.22 ((~((~v102(constB24)) <=> v104(constB24))) | v102(constB24) | v104(constB24)),
% 14.00/9.22 inference(tautology,[status(thm)],[])).
% 14.00/9.22 tff(3913,plain,
% 14.00/9.22 (v102(constB24)),
% 14.00/9.22 inference(unit_resolution,[status(thm)],[3912, 3911, 3901])).
% 14.00/9.22 tff(3914,plain,
% 14.00/9.22 (v1(constB24) <=> v1(constB24)),
% 14.00/9.22 inference(rewrite,[status(thm)],[])).
% 14.00/9.22 tff(3915,axiom,(v1(constB24)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_24')).
% 14.00/9.22 tff(3916,plain,
% 14.00/9.22 (v1(constB24)),
% 14.00/9.22 inference(modus_ponens,[status(thm)],[3915, 3914])).
% 14.00/9.22 tff(3917,plain,
% 14.00/9.22 ((~((~v1(constB24)) | (~v102(constB24)))) | (~v1(constB24)) | (~v102(constB24))),
% 14.00/9.22 inference(tautology,[status(thm)],[])).
% 14.00/9.22 tff(3918,plain,
% 14.00/9.22 ((~((~v1(constB24)) | (~v102(constB24)))) | (~v102(constB24))),
% 14.00/9.22 inference(unit_resolution,[status(thm)],[3917, 3916])).
% 14.00/9.22 tff(3919,plain,
% 14.00/9.22 (~((~v1(constB24)) | (~v102(constB24)))),
% 14.00/9.22 inference(unit_resolution,[status(thm)],[3918, 3913])).
% 14.00/9.22 tff(3920,plain,
% 14.00/9.22 ((~(v101(constB24) <=> (~((~v1(constB24)) | (~v102(constB24)))))) | v101(constB24) | ((~v1(constB24)) | (~v102(constB24)))),
% 14.00/9.22 inference(tautology,[status(thm)],[])).
% 14.00/9.22 tff(3921,plain,
% 14.00/9.22 (v101(constB24)),
% 14.00/9.22 inference(unit_resolution,[status(thm)],[3920, 3919, 3897])).
% 14.00/9.22 tff(3922,plain,
% 14.00/9.22 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | ((~nextState(constB23, constB24)) | (v110(constB24) <=> v108(constB23)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | (~nextState(constB23, constB24)) | (v110(constB24) <=> v108(constB23)))),
% 14.00/9.22 inference(rewrite,[status(thm)],[])).
% 14.00/9.22 tff(3923,plain,
% 14.00/9.22 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | ((~nextState(constB23, constB24)) | (v110(constB24) <=> v108(constB23)))),
% 14.00/9.22 inference(quant_inst,[status(thm)],[])).
% 14.00/9.22 tff(3924,plain,
% 14.00/9.22 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | (~nextState(constB23, constB24)) | (v110(constB24) <=> v108(constB23))),
% 14.00/9.22 inference(modus_ponens,[status(thm)],[3923, 3922])).
% 14.00/9.22 tff(3925,plain,
% 14.00/9.22 (v110(constB24) <=> v108(constB23)),
% 14.00/9.22 inference(unit_resolution,[status(thm)],[3924, 3886, 556])).
% 14.00/9.22 tff(3926,plain,
% 14.00/9.22 ((~![VarCurr: $i] : (v108(VarCurr) <=> (v111(VarCurr) | v112(VarCurr)))) | (v108(constB23) <=> (v111(constB23) | v112(constB23)))),
% 14.00/9.22 inference(quant_inst,[status(thm)],[])).
% 14.00/9.22 tff(3927,plain,
% 14.00/9.22 (v108(constB23) <=> (v111(constB23) | v112(constB23))),
% 14.00/9.22 inference(unit_resolution,[status(thm)],[3926, 567])).
% 14.00/9.22 tff(3928,plain,
% 14.00/9.22 ((~![VarCurr: $i] : (v112(VarCurr) <=> (~((~v113(VarCurr)) | (~v126(VarCurr)))))) | (v112(constB23) <=> (~((~v113(constB23)) | (~v126(constB23)))))),
% 14.00/9.22 inference(quant_inst,[status(thm)],[])).
% 14.00/9.22 tff(3929,plain,
% 14.00/9.22 (v112(constB23) <=> (~((~v113(constB23)) | (~v126(constB23))))),
% 14.00/9.22 inference(unit_resolution,[status(thm)],[3928, 579])).
% 14.00/9.22 tff(3930,plain,
% 14.00/9.22 ((~![VarCurr: $i] : (v113(VarCurr) <=> (v114(VarCurr) | v125(VarCurr)))) | (v113(constB23) <=> (v114(constB23) | v125(constB23)))),
% 14.00/9.22 inference(quant_inst,[status(thm)],[])).
% 14.00/9.22 tff(3931,plain,
% 14.00/9.22 (v113(constB23) <=> (v114(constB23) | v125(constB23))),
% 14.00/9.22 inference(unit_resolution,[status(thm)],[3930, 588])).
% 14.00/9.22 tff(3932,plain,
% 14.00/9.22 ((~![VarCurr: $i] : (v114(VarCurr) <=> (v115(VarCurr) | v124(VarCurr)))) | (v114(constB23) <=> (v115(constB23) | v124(constB23)))),
% 14.00/9.22 inference(quant_inst,[status(thm)],[])).
% 14.00/9.22 tff(3933,plain,
% 14.00/9.22 (v114(constB23) <=> (v115(constB23) | v124(constB23))),
% 14.00/9.22 inference(unit_resolution,[status(thm)],[3932, 597])).
% 14.00/9.22 tff(3934,plain,
% 14.00/9.22 ((~![VarCurr: $i] : (v115(VarCurr) <=> (v116(VarCurr) | v123(VarCurr)))) | (v115(constB23) <=> (v116(constB23) | v123(constB23)))),
% 14.00/9.22 inference(quant_inst,[status(thm)],[])).
% 14.00/9.22 tff(3935,plain,
% 14.00/9.22 (v115(constB23) <=> (v116(constB23) | v123(constB23))),
% 14.00/9.22 inference(unit_resolution,[status(thm)],[3934, 606])).
% 14.00/9.22 tff(3936,plain,
% 14.00/9.22 (((~![VarCurr: $i] : (v123(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)))))) | (v123(constB23) <=> (~((~v90(constB23, bitIndex2)) | v90(constB23, bitIndex1) | v90(constB23, bitIndex0))))) <=> ((~![VarCurr: $i] : (v123(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)))))) | (v123(constB23) <=> (~((~v90(constB23, bitIndex2)) | v90(constB23, bitIndex1) | v90(constB23, bitIndex0)))))),
% 14.00/9.22 inference(rewrite,[status(thm)],[])).
% 14.00/9.22 tff(3937,plain,
% 14.00/9.22 ((v123(constB23) <=> (~(v90(constB23, bitIndex0) | v90(constB23, bitIndex1) | (~v90(constB23, bitIndex2))))) <=> (v123(constB23) <=> (~((~v90(constB23, bitIndex2)) | v90(constB23, bitIndex1) | v90(constB23, bitIndex0))))),
% 14.00/9.22 inference(rewrite,[status(thm)],[])).
% 14.00/9.22 tff(3938,plain,
% 14.00/9.22 (((~![VarCurr: $i] : (v123(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)))))) | (v123(constB23) <=> (~(v90(constB23, bitIndex0) | v90(constB23, bitIndex1) | (~v90(constB23, bitIndex2)))))) <=> ((~![VarCurr: $i] : (v123(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)))))) | (v123(constB23) <=> (~((~v90(constB23, bitIndex2)) | v90(constB23, bitIndex1) | v90(constB23, bitIndex0)))))),
% 14.00/9.22 inference(monotonicity,[status(thm)],[3937])).
% 14.00/9.22 tff(3939,plain,
% 14.00/9.22 (((~![VarCurr: $i] : (v123(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)))))) | (v123(constB23) <=> (~(v90(constB23, bitIndex0) | v90(constB23, bitIndex1) | (~v90(constB23, bitIndex2)))))) <=> ((~![VarCurr: $i] : (v123(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)))))) | (v123(constB23) <=> (~((~v90(constB23, bitIndex2)) | v90(constB23, bitIndex1) | v90(constB23, bitIndex0)))))),
% 14.00/9.22 inference(transitivity,[status(thm)],[3938, 3936])).
% 14.00/9.22 tff(3940,plain,
% 14.00/9.22 ((~![VarCurr: $i] : (v123(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)))))) | (v123(constB23) <=> (~(v90(constB23, bitIndex0) | v90(constB23, bitIndex1) | (~v90(constB23, bitIndex2)))))),
% 14.00/9.22 inference(quant_inst,[status(thm)],[])).
% 14.00/9.22 tff(3941,plain,
% 14.00/9.22 ((~![VarCurr: $i] : (v123(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)))))) | (v123(constB23) <=> (~((~v90(constB23, bitIndex2)) | v90(constB23, bitIndex1) | v90(constB23, bitIndex0))))),
% 14.00/9.22 inference(modus_ponens,[status(thm)],[3940, 3939])).
% 14.00/9.22 tff(3942,plain,
% 14.00/9.22 (v123(constB23) <=> (~((~v90(constB23, bitIndex2)) | v90(constB23, bitIndex1) | v90(constB23, bitIndex0)))),
% 14.00/9.22 inference(unit_resolution,[status(thm)],[3941, 621])).
% 14.00/9.22 tff(3943,plain,
% 14.00/9.22 (nextState(constB22, constB23) <=> nextState(constB22, constB23)),
% 14.00/9.22 inference(rewrite,[status(thm)],[])).
% 14.00/9.22 tff(3944,axiom,(nextState(constB22, constB23)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_22')).
% 14.00/9.22 tff(3945,plain,
% 14.00/9.22 (nextState(constB22, constB23)),
% 14.00/9.22 inference(modus_ponens,[status(thm)],[3944, 3943])).
% 14.00/9.22 tff(3946,plain,
% 14.00/9.22 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB22, constB23)) | (v100(constB23) <=> (~((~v101(constB23)) | (~v110(constB23))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB22, constB23)) | (v100(constB23) <=> (~((~v101(constB23)) | (~v110(constB23))))))),
% 14.00/9.22 inference(rewrite,[status(thm)],[])).
% 14.00/9.22 tff(3947,plain,
% 14.00/9.22 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB22, constB23)) | (v100(constB23) <=> (~((~v101(constB23)) | (~v110(constB23))))))),
% 14.00/9.22 inference(quant_inst,[status(thm)],[])).
% 14.00/9.22 tff(3948,plain,
% 14.00/9.22 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB22, constB23)) | (v100(constB23) <=> (~((~v101(constB23)) | (~v110(constB23)))))),
% 14.00/9.22 inference(modus_ponens,[status(thm)],[3947, 3946])).
% 14.00/9.22 tff(3949,plain,
% 14.00/9.22 (v100(constB23) <=> (~((~v101(constB23)) | (~v110(constB23))))),
% 14.00/9.22 inference(unit_resolution,[status(thm)],[3948, 3945, 430])).
% 14.00/9.22 tff(3950,plain,
% 14.00/9.22 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB22, constB23)) | (v101(constB23) <=> (~((~v1(constB23)) | (~v102(constB23))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB22, constB23)) | (v101(constB23) <=> (~((~v1(constB23)) | (~v102(constB23))))))),
% 14.00/9.22 inference(rewrite,[status(thm)],[])).
% 14.00/9.22 tff(3951,plain,
% 14.00/9.22 (((~nextState(constB22, constB23)) | (v101(constB23) <=> (~((~v102(constB23)) | (~v1(constB23)))))) <=> ((~nextState(constB22, constB23)) | (v101(constB23) <=> (~((~v1(constB23)) | (~v102(constB23))))))),
% 14.00/9.22 inference(rewrite,[status(thm)],[])).
% 14.00/9.22 tff(3952,plain,
% 14.00/9.22 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB22, constB23)) | (v101(constB23) <=> (~((~v102(constB23)) | (~v1(constB23))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB22, constB23)) | (v101(constB23) <=> (~((~v1(constB23)) | (~v102(constB23)))))))),
% 14.00/9.22 inference(monotonicity,[status(thm)],[3951])).
% 14.00/9.22 tff(3953,plain,
% 14.00/9.22 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB22, constB23)) | (v101(constB23) <=> (~((~v102(constB23)) | (~v1(constB23))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB22, constB23)) | (v101(constB23) <=> (~((~v1(constB23)) | (~v102(constB23))))))),
% 14.00/9.22 inference(transitivity,[status(thm)],[3952, 3950])).
% 14.00/9.22 tff(3954,plain,
% 14.00/9.22 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB22, constB23)) | (v101(constB23) <=> (~((~v102(constB23)) | (~v1(constB23))))))),
% 14.00/9.22 inference(quant_inst,[status(thm)],[])).
% 14.00/9.22 tff(3955,plain,
% 14.00/9.22 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB22, constB23)) | (v101(constB23) <=> (~((~v1(constB23)) | (~v102(constB23)))))),
% 14.00/9.22 inference(modus_ponens,[status(thm)],[3954, 3953])).
% 14.00/9.22 tff(3956,plain,
% 14.00/9.22 (v101(constB23) <=> (~((~v1(constB23)) | (~v102(constB23))))),
% 14.00/9.22 inference(unit_resolution,[status(thm)],[3955, 3945, 450])).
% 14.00/9.22 tff(3957,plain,
% 14.00/9.22 (((~v1(constB23)) | (~v102(constB23))) | v1(constB23)),
% 14.00/9.22 inference(tautology,[status(thm)],[])).
% 14.00/9.22 tff(3958,plain,
% 14.00/9.22 ((~v1(constB23)) | (~v102(constB23))),
% 14.00/9.22 inference(unit_resolution,[status(thm)],[3957, 3908])).
% 14.00/9.22 tff(3959,plain,
% 14.00/9.22 ((~(v101(constB23) <=> (~((~v1(constB23)) | (~v102(constB23)))))) | (~v101(constB23)) | (~((~v1(constB23)) | (~v102(constB23))))),
% 14.00/9.22 inference(tautology,[status(thm)],[])).
% 14.00/9.22 tff(3960,plain,
% 14.00/9.22 ((~(v101(constB23) <=> (~((~v1(constB23)) | (~v102(constB23)))))) | (~v101(constB23))),
% 14.00/9.22 inference(unit_resolution,[status(thm)],[3959, 3958])).
% 14.00/9.22 tff(3961,plain,
% 14.00/9.22 (~v101(constB23)),
% 14.00/9.22 inference(unit_resolution,[status(thm)],[3960, 3956])).
% 14.00/9.22 tff(3962,plain,
% 14.00/9.22 (((~v101(constB23)) | (~v110(constB23))) | v101(constB23)),
% 14.00/9.22 inference(tautology,[status(thm)],[])).
% 14.00/9.22 tff(3963,plain,
% 14.00/9.22 ((~v101(constB23)) | (~v110(constB23))),
% 14.00/9.22 inference(unit_resolution,[status(thm)],[3962, 3961])).
% 14.00/9.22 tff(3964,plain,
% 14.00/9.22 ((~(v100(constB23) <=> (~((~v101(constB23)) | (~v110(constB23)))))) | (~v100(constB23)) | (~((~v101(constB23)) | (~v110(constB23))))),
% 14.00/9.22 inference(tautology,[status(thm)],[])).
% 14.00/9.22 tff(3965,plain,
% 14.00/9.22 (~v100(constB23)),
% 14.00/9.22 inference(unit_resolution,[status(thm)],[3964, 3963, 3949])).
% 14.00/9.22 tff(3966,plain,
% 14.00/9.22 (((~![VarCurr: $i, VarNext: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v90(VarCurr, B))))) | (v100(constB23) | (~nextState(constB22, constB23)) | ![B: $i] : ((~less_3(B)) | (v90(constB23, B) <=> v90(constB22, B))))) <=> ((~![VarCurr: $i, VarNext: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v90(VarCurr, B))))) | v100(constB23) | (~nextState(constB22, constB23)) | ![B: $i] : ((~less_3(B)) | (v90(constB23, B) <=> v90(constB22, B))))),
% 14.00/9.22 inference(rewrite,[status(thm)],[])).
% 14.00/9.22 tff(3967,plain,
% 14.00/9.22 ((~![VarCurr: $i, VarNext: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v90(VarCurr, B))))) | (v100(constB23) | (~nextState(constB22, constB23)) | ![B: $i] : ((~less_3(B)) | (v90(constB23, B) <=> v90(constB22, B))))),
% 14.00/9.22 inference(quant_inst,[status(thm)],[])).
% 14.00/9.22 tff(3968,plain,
% 14.00/9.22 ((~![VarCurr: $i, VarNext: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v90(VarCurr, B))))) | v100(constB23) | (~nextState(constB22, constB23)) | ![B: $i] : ((~less_3(B)) | (v90(constB23, B) <=> v90(constB22, B)))),
% 14.00/9.22 inference(modus_ponens,[status(thm)],[3967, 3966])).
% 14.00/9.22 tff(3969,plain,
% 14.00/9.22 (v100(constB23) | ![B: $i] : ((~less_3(B)) | (v90(constB23, B) <=> v90(constB22, B)))),
% 14.00/9.22 inference(unit_resolution,[status(thm)],[3968, 3945, 479])).
% 14.00/9.22 tff(3970,plain,
% 14.00/9.22 (![B: $i] : ((~less_3(B)) | (v90(constB23, B) <=> v90(constB22, B)))),
% 14.00/9.22 inference(unit_resolution,[status(thm)],[3969, 3965])).
% 14.00/9.22 tff(3971,plain,
% 14.00/9.22 (((~![B: $i] : ((~less_3(B)) | (v90(constB23, B) <=> v90(constB22, B)))) | ((~less_3(bitIndex2)) | (v90(constB23, bitIndex2) <=> v90(constB22, bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v90(constB23, B) <=> v90(constB22, B)))) | (~less_3(bitIndex2)) | (v90(constB23, bitIndex2) <=> v90(constB22, bitIndex2)))),
% 14.00/9.22 inference(rewrite,[status(thm)],[])).
% 14.00/9.22 tff(3972,plain,
% 14.00/9.22 ((~![B: $i] : ((~less_3(B)) | (v90(constB23, B) <=> v90(constB22, B)))) | ((~less_3(bitIndex2)) | (v90(constB23, bitIndex2) <=> v90(constB22, bitIndex2)))),
% 14.00/9.22 inference(quant_inst,[status(thm)],[])).
% 14.00/9.22 tff(3973,plain,
% 14.00/9.22 ((~![B: $i] : ((~less_3(B)) | (v90(constB23, B) <=> v90(constB22, B)))) | (~less_3(bitIndex2)) | (v90(constB23, bitIndex2) <=> v90(constB22, bitIndex2))),
% 14.00/9.22 inference(modus_ponens,[status(thm)],[3972, 3971])).
% 14.00/9.22 tff(3974,plain,
% 14.00/9.22 (v90(constB23, bitIndex2) <=> v90(constB22, bitIndex2)),
% 14.00/9.22 inference(unit_resolution,[status(thm)],[3973, 413, 3970])).
% 14.00/9.22 tff(3975,plain,
% 14.00/9.22 (nextState(constB21, constB22) <=> nextState(constB21, constB22)),
% 14.00/9.22 inference(rewrite,[status(thm)],[])).
% 14.00/9.22 tff(3976,axiom,(nextState(constB21, constB22)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_21')).
% 14.00/9.22 tff(3977,plain,
% 14.00/9.22 (nextState(constB21, constB22)),
% 14.00/9.22 inference(modus_ponens,[status(thm)],[3976, 3975])).
% 14.00/9.22 tff(3978,plain,
% 14.00/9.22 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB21, constB22)) | (v100(constB22) <=> (~((~v101(constB22)) | (~v110(constB22))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB21, constB22)) | (v100(constB22) <=> (~((~v101(constB22)) | (~v110(constB22))))))),
% 14.00/9.22 inference(rewrite,[status(thm)],[])).
% 14.00/9.22 tff(3979,plain,
% 14.00/9.22 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB21, constB22)) | (v100(constB22) <=> (~((~v101(constB22)) | (~v110(constB22))))))),
% 14.00/9.22 inference(quant_inst,[status(thm)],[])).
% 14.00/9.22 tff(3980,plain,
% 14.00/9.22 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB21, constB22)) | (v100(constB22) <=> (~((~v101(constB22)) | (~v110(constB22)))))),
% 14.00/9.22 inference(modus_ponens,[status(thm)],[3979, 3978])).
% 14.00/9.22 tff(3981,plain,
% 14.00/9.22 (v100(constB22) <=> (~((~v101(constB22)) | (~v110(constB22))))),
% 14.00/9.22 inference(unit_resolution,[status(thm)],[3980, 3977, 430])).
% 14.00/9.22 tff(3982,plain,
% 14.00/9.22 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB21, constB22)) | (v101(constB22) <=> (~((~v1(constB22)) | (~v102(constB22))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB21, constB22)) | (v101(constB22) <=> (~((~v1(constB22)) | (~v102(constB22))))))),
% 14.00/9.22 inference(rewrite,[status(thm)],[])).
% 14.00/9.22 tff(3983,plain,
% 14.00/9.22 (((~nextState(constB21, constB22)) | (v101(constB22) <=> (~((~v102(constB22)) | (~v1(constB22)))))) <=> ((~nextState(constB21, constB22)) | (v101(constB22) <=> (~((~v1(constB22)) | (~v102(constB22))))))),
% 14.00/9.22 inference(rewrite,[status(thm)],[])).
% 14.00/9.22 tff(3984,plain,
% 14.00/9.22 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB21, constB22)) | (v101(constB22) <=> (~((~v102(constB22)) | (~v1(constB22))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB21, constB22)) | (v101(constB22) <=> (~((~v1(constB22)) | (~v102(constB22)))))))),
% 14.00/9.22 inference(monotonicity,[status(thm)],[3983])).
% 14.00/9.22 tff(3985,plain,
% 14.00/9.22 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB21, constB22)) | (v101(constB22) <=> (~((~v102(constB22)) | (~v1(constB22))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB21, constB22)) | (v101(constB22) <=> (~((~v1(constB22)) | (~v102(constB22))))))),
% 14.00/9.22 inference(transitivity,[status(thm)],[3984, 3982])).
% 14.00/9.22 tff(3986,plain,
% 14.00/9.22 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB21, constB22)) | (v101(constB22) <=> (~((~v102(constB22)) | (~v1(constB22))))))),
% 14.00/9.22 inference(quant_inst,[status(thm)],[])).
% 14.00/9.22 tff(3987,plain,
% 14.00/9.22 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB21, constB22)) | (v101(constB22) <=> (~((~v1(constB22)) | (~v102(constB22)))))),
% 14.00/9.22 inference(modus_ponens,[status(thm)],[3986, 3985])).
% 14.00/9.22 tff(3988,plain,
% 14.00/9.22 (v101(constB22) <=> (~((~v1(constB22)) | (~v102(constB22))))),
% 14.00/9.22 inference(unit_resolution,[status(thm)],[3987, 3977, 450])).
% 14.00/9.22 tff(3989,plain,
% 14.00/9.22 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | ((~nextState(constB21, constB22)) | ((~v102(constB22)) <=> v104(constB22)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | (~nextState(constB21, constB22)) | ((~v102(constB22)) <=> v104(constB22)))),
% 14.00/9.22 inference(rewrite,[status(thm)],[])).
% 14.00/9.22 tff(3990,plain,
% 14.00/9.22 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | ((~nextState(constB21, constB22)) | ((~v102(constB22)) <=> v104(constB22)))),
% 14.00/9.22 inference(quant_inst,[status(thm)],[])).
% 14.00/9.22 tff(3991,plain,
% 14.00/9.22 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | (~nextState(constB21, constB22)) | ((~v102(constB22)) <=> v104(constB22))),
% 14.00/9.22 inference(modus_ponens,[status(thm)],[3990, 3989])).
% 14.00/9.22 tff(3992,plain,
% 14.00/9.22 ((~v102(constB22)) <=> v104(constB22)),
% 14.00/9.22 inference(unit_resolution,[status(thm)],[3991, 3977, 512])).
% 14.00/9.22 tff(3993,plain,
% 14.00/9.22 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB21, constB22)) | (v104(constB22) <=> v1(constB21)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | (~nextState(constB21, constB22)) | (v104(constB22) <=> v1(constB21)))),
% 14.00/9.22 inference(rewrite,[status(thm)],[])).
% 14.00/9.22 tff(3994,plain,
% 14.00/9.22 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB21, constB22)) | (v104(constB22) <=> v1(constB21)))),
% 14.00/9.22 inference(quant_inst,[status(thm)],[])).
% 14.00/9.22 tff(3995,plain,
% 14.00/9.22 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | (~nextState(constB21, constB22)) | (v104(constB22) <=> v1(constB21))),
% 14.00/9.22 inference(modus_ponens,[status(thm)],[3994, 3993])).
% 14.00/9.22 tff(3996,plain,
% 14.00/9.22 (v104(constB22) <=> v1(constB21)),
% 14.00/9.22 inference(unit_resolution,[status(thm)],[3995, 3977, 526])).
% 14.00/9.22 tff(3997,plain,
% 14.00/9.22 ((~v1(constB21)) <=> (~v1(constB21))),
% 14.00/9.22 inference(rewrite,[status(thm)],[])).
% 14.00/9.22 tff(3998,axiom,(~v1(constB21)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_21')).
% 14.00/9.22 tff(3999,plain,
% 14.00/9.22 (~v1(constB21)),
% 14.00/9.22 inference(modus_ponens,[status(thm)],[3998, 3997])).
% 14.00/9.22 tff(4000,plain,
% 14.00/9.22 ((~(v104(constB22) <=> v1(constB21))) | (~v104(constB22)) | v1(constB21)),
% 14.00/9.22 inference(tautology,[status(thm)],[])).
% 14.00/9.22 tff(4001,plain,
% 14.00/9.22 ((~(v104(constB22) <=> v1(constB21))) | (~v104(constB22))),
% 14.00/9.22 inference(unit_resolution,[status(thm)],[4000, 3999])).
% 14.00/9.22 tff(4002,plain,
% 14.00/9.22 (~v104(constB22)),
% 14.00/9.23 inference(unit_resolution,[status(thm)],[4001, 3996])).
% 14.00/9.23 tff(4003,plain,
% 14.00/9.23 ((~((~v102(constB22)) <=> v104(constB22))) | v102(constB22) | v104(constB22)),
% 14.00/9.23 inference(tautology,[status(thm)],[])).
% 14.00/9.23 tff(4004,plain,
% 14.00/9.23 (v102(constB22)),
% 14.00/9.23 inference(unit_resolution,[status(thm)],[4003, 4002, 3992])).
% 14.00/9.23 tff(4005,plain,
% 14.00/9.23 (v1(constB22) <=> v1(constB22)),
% 14.00/9.23 inference(rewrite,[status(thm)],[])).
% 14.00/9.23 tff(4006,axiom,(v1(constB22)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_22')).
% 14.00/9.23 tff(4007,plain,
% 14.00/9.23 (v1(constB22)),
% 14.00/9.23 inference(modus_ponens,[status(thm)],[4006, 4005])).
% 14.00/9.23 tff(4008,plain,
% 14.00/9.23 ((~((~v1(constB22)) | (~v102(constB22)))) | (~v1(constB22)) | (~v102(constB22))),
% 14.00/9.23 inference(tautology,[status(thm)],[])).
% 14.00/9.23 tff(4009,plain,
% 14.00/9.23 ((~((~v1(constB22)) | (~v102(constB22)))) | (~v102(constB22))),
% 14.00/9.23 inference(unit_resolution,[status(thm)],[4008, 4007])).
% 14.00/9.23 tff(4010,plain,
% 14.00/9.23 (~((~v1(constB22)) | (~v102(constB22)))),
% 14.00/9.23 inference(unit_resolution,[status(thm)],[4009, 4004])).
% 14.00/9.23 tff(4011,plain,
% 14.00/9.23 ((~(v101(constB22) <=> (~((~v1(constB22)) | (~v102(constB22)))))) | v101(constB22) | ((~v1(constB22)) | (~v102(constB22)))),
% 14.00/9.23 inference(tautology,[status(thm)],[])).
% 14.00/9.23 tff(4012,plain,
% 14.00/9.23 (v101(constB22)),
% 14.00/9.23 inference(unit_resolution,[status(thm)],[4011, 4010, 3988])).
% 14.00/9.23 tff(4013,plain,
% 14.00/9.23 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | ((~nextState(constB21, constB22)) | (v110(constB22) <=> v108(constB21)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | (~nextState(constB21, constB22)) | (v110(constB22) <=> v108(constB21)))),
% 14.00/9.23 inference(rewrite,[status(thm)],[])).
% 14.00/9.23 tff(4014,plain,
% 14.00/9.23 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | ((~nextState(constB21, constB22)) | (v110(constB22) <=> v108(constB21)))),
% 14.00/9.23 inference(quant_inst,[status(thm)],[])).
% 14.00/9.23 tff(4015,plain,
% 14.00/9.23 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | (~nextState(constB21, constB22)) | (v110(constB22) <=> v108(constB21))),
% 14.00/9.23 inference(modus_ponens,[status(thm)],[4014, 4013])).
% 14.00/9.23 tff(4016,plain,
% 14.00/9.23 (v110(constB22) <=> v108(constB21)),
% 14.00/9.23 inference(unit_resolution,[status(thm)],[4015, 3977, 556])).
% 14.00/9.23 tff(4017,plain,
% 14.00/9.23 ((~![VarCurr: $i] : (v108(VarCurr) <=> (v111(VarCurr) | v112(VarCurr)))) | (v108(constB21) <=> (v111(constB21) | v112(constB21)))),
% 14.00/9.23 inference(quant_inst,[status(thm)],[])).
% 14.00/9.23 tff(4018,plain,
% 14.00/9.23 (v108(constB21) <=> (v111(constB21) | v112(constB21))),
% 14.00/9.23 inference(unit_resolution,[status(thm)],[4017, 567])).
% 14.00/9.23 tff(4019,plain,
% 14.00/9.23 ((~![VarCurr: $i] : (v112(VarCurr) <=> (~((~v113(VarCurr)) | (~v126(VarCurr)))))) | (v112(constB21) <=> (~((~v113(constB21)) | (~v126(constB21)))))),
% 14.00/9.23 inference(quant_inst,[status(thm)],[])).
% 14.00/9.23 tff(4020,plain,
% 14.00/9.23 (v112(constB21) <=> (~((~v113(constB21)) | (~v126(constB21))))),
% 14.00/9.23 inference(unit_resolution,[status(thm)],[4019, 579])).
% 14.00/9.23 tff(4021,plain,
% 14.00/9.23 ((~![VarCurr: $i] : (v113(VarCurr) <=> (v114(VarCurr) | v125(VarCurr)))) | (v113(constB21) <=> (v114(constB21) | v125(constB21)))),
% 14.00/9.23 inference(quant_inst,[status(thm)],[])).
% 14.00/9.23 tff(4022,plain,
% 14.00/9.23 (v113(constB21) <=> (v114(constB21) | v125(constB21))),
% 14.00/9.23 inference(unit_resolution,[status(thm)],[4021, 588])).
% 14.00/9.23 tff(4023,plain,
% 14.00/9.23 ((~![VarCurr: $i] : (v114(VarCurr) <=> (v115(VarCurr) | v124(VarCurr)))) | (v114(constB21) <=> (v115(constB21) | v124(constB21)))),
% 14.00/9.23 inference(quant_inst,[status(thm)],[])).
% 14.00/9.23 tff(4024,plain,
% 14.00/9.23 (v114(constB21) <=> (v115(constB21) | v124(constB21))),
% 14.00/9.23 inference(unit_resolution,[status(thm)],[4023, 597])).
% 14.00/9.23 tff(4025,plain,
% 14.00/9.23 ((~![VarCurr: $i] : (v115(VarCurr) <=> (v116(VarCurr) | v123(VarCurr)))) | (v115(constB21) <=> (v116(constB21) | v123(constB21)))),
% 14.00/9.23 inference(quant_inst,[status(thm)],[])).
% 14.00/9.23 tff(4026,plain,
% 14.00/9.23 (v115(constB21) <=> (v116(constB21) | v123(constB21))),
% 14.00/9.23 inference(unit_resolution,[status(thm)],[4025, 606])).
% 14.00/9.23 tff(4027,plain,
% 14.00/9.23 ((~![VarCurr: $i] : (v116(VarCurr) <=> (v117(VarCurr) | v122(VarCurr)))) | (v116(constB21) <=> (v117(constB21) | v122(constB21)))),
% 14.00/9.23 inference(quant_inst,[status(thm)],[])).
% 14.00/9.23 tff(4028,plain,
% 14.00/9.23 (v116(constB21) <=> (v117(constB21) | v122(constB21))),
% 14.00/9.23 inference(unit_resolution,[status(thm)],[4027, 719])).
% 14.00/9.23 tff(4029,plain,
% 14.00/9.23 (((~![VarCurr: $i] : (v122(VarCurr) <=> (~(v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)))))) | (v122(constB21) <=> (~(v90(constB21, bitIndex2) | (~v90(constB21, bitIndex1)) | (~v90(constB21, bitIndex0)))))) <=> ((~![VarCurr: $i] : (v122(VarCurr) <=> (~(v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)))))) | (v122(constB21) <=> (~(v90(constB21, bitIndex2) | (~v90(constB21, bitIndex1)) | (~v90(constB21, bitIndex0))))))),
% 14.00/9.23 inference(rewrite,[status(thm)],[])).
% 14.00/9.23 tff(4030,plain,
% 14.00/9.23 ((v122(constB21) <=> (~(v90(constB21, bitIndex2) | (~v90(constB21, bitIndex0)) | (~v90(constB21, bitIndex1))))) <=> (v122(constB21) <=> (~(v90(constB21, bitIndex2) | (~v90(constB21, bitIndex1)) | (~v90(constB21, bitIndex0)))))),
% 14.00/9.23 inference(rewrite,[status(thm)],[])).
% 14.00/9.23 tff(4031,plain,
% 14.00/9.23 (((~![VarCurr: $i] : (v122(VarCurr) <=> (~(v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)))))) | (v122(constB21) <=> (~(v90(constB21, bitIndex2) | (~v90(constB21, bitIndex0)) | (~v90(constB21, bitIndex1)))))) <=> ((~![VarCurr: $i] : (v122(VarCurr) <=> (~(v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)))))) | (v122(constB21) <=> (~(v90(constB21, bitIndex2) | (~v90(constB21, bitIndex1)) | (~v90(constB21, bitIndex0))))))),
% 14.00/9.23 inference(monotonicity,[status(thm)],[4030])).
% 14.00/9.23 tff(4032,plain,
% 14.00/9.23 (((~![VarCurr: $i] : (v122(VarCurr) <=> (~(v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)))))) | (v122(constB21) <=> (~(v90(constB21, bitIndex2) | (~v90(constB21, bitIndex0)) | (~v90(constB21, bitIndex1)))))) <=> ((~![VarCurr: $i] : (v122(VarCurr) <=> (~(v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)))))) | (v122(constB21) <=> (~(v90(constB21, bitIndex2) | (~v90(constB21, bitIndex1)) | (~v90(constB21, bitIndex0))))))),
% 14.00/9.23 inference(transitivity,[status(thm)],[4031, 4029])).
% 14.00/9.23 tff(4033,plain,
% 14.00/9.23 ((~![VarCurr: $i] : (v122(VarCurr) <=> (~(v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)))))) | (v122(constB21) <=> (~(v90(constB21, bitIndex2) | (~v90(constB21, bitIndex0)) | (~v90(constB21, bitIndex1)))))),
% 14.00/9.23 inference(quant_inst,[status(thm)],[])).
% 14.00/9.23 tff(4034,plain,
% 14.00/9.23 ((~![VarCurr: $i] : (v122(VarCurr) <=> (~(v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)))))) | (v122(constB21) <=> (~(v90(constB21, bitIndex2) | (~v90(constB21, bitIndex1)) | (~v90(constB21, bitIndex0)))))),
% 14.00/9.23 inference(modus_ponens,[status(thm)],[4033, 4032])).
% 14.00/9.23 tff(4035,plain,
% 14.00/9.23 (v122(constB21) <=> (~(v90(constB21, bitIndex2) | (~v90(constB21, bitIndex1)) | (~v90(constB21, bitIndex0))))),
% 14.00/9.23 inference(unit_resolution,[status(thm)],[4034, 734])).
% 14.00/9.23 tff(4036,plain,
% 14.00/9.23 (nextState(constB20, constB21) <=> nextState(constB20, constB21)),
% 14.00/9.23 inference(rewrite,[status(thm)],[])).
% 14.00/9.23 tff(4037,axiom,(nextState(constB20, constB21)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_20')).
% 14.00/9.23 tff(4038,plain,
% 14.00/9.23 (nextState(constB20, constB21)),
% 14.00/9.23 inference(modus_ponens,[status(thm)],[4037, 4036])).
% 14.00/9.23 tff(4039,plain,
% 14.00/9.23 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB20, constB21)) | (v100(constB21) <=> (~((~v101(constB21)) | (~v110(constB21))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB20, constB21)) | (v100(constB21) <=> (~((~v101(constB21)) | (~v110(constB21))))))),
% 14.00/9.23 inference(rewrite,[status(thm)],[])).
% 14.00/9.23 tff(4040,plain,
% 14.00/9.23 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB20, constB21)) | (v100(constB21) <=> (~((~v101(constB21)) | (~v110(constB21))))))),
% 14.00/9.23 inference(quant_inst,[status(thm)],[])).
% 14.00/9.23 tff(4041,plain,
% 14.00/9.23 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB20, constB21)) | (v100(constB21) <=> (~((~v101(constB21)) | (~v110(constB21)))))),
% 14.00/9.23 inference(modus_ponens,[status(thm)],[4040, 4039])).
% 14.00/9.23 tff(4042,plain,
% 14.00/9.23 (v100(constB21) <=> (~((~v101(constB21)) | (~v110(constB21))))),
% 14.00/9.23 inference(unit_resolution,[status(thm)],[4041, 4038, 430])).
% 14.00/9.23 tff(4043,plain,
% 14.00/9.23 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB20, constB21)) | (v101(constB21) <=> (~((~v1(constB21)) | (~v102(constB21))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB20, constB21)) | (v101(constB21) <=> (~((~v1(constB21)) | (~v102(constB21))))))),
% 14.00/9.23 inference(rewrite,[status(thm)],[])).
% 14.00/9.23 tff(4044,plain,
% 14.00/9.23 (((~nextState(constB20, constB21)) | (v101(constB21) <=> (~((~v102(constB21)) | (~v1(constB21)))))) <=> ((~nextState(constB20, constB21)) | (v101(constB21) <=> (~((~v1(constB21)) | (~v102(constB21))))))),
% 14.00/9.23 inference(rewrite,[status(thm)],[])).
% 14.00/9.23 tff(4045,plain,
% 14.00/9.23 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB20, constB21)) | (v101(constB21) <=> (~((~v102(constB21)) | (~v1(constB21))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB20, constB21)) | (v101(constB21) <=> (~((~v1(constB21)) | (~v102(constB21)))))))),
% 14.00/9.23 inference(monotonicity,[status(thm)],[4044])).
% 14.00/9.23 tff(4046,plain,
% 14.00/9.23 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB20, constB21)) | (v101(constB21) <=> (~((~v102(constB21)) | (~v1(constB21))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB20, constB21)) | (v101(constB21) <=> (~((~v1(constB21)) | (~v102(constB21))))))),
% 14.00/9.23 inference(transitivity,[status(thm)],[4045, 4043])).
% 14.00/9.23 tff(4047,plain,
% 14.00/9.23 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB20, constB21)) | (v101(constB21) <=> (~((~v102(constB21)) | (~v1(constB21))))))),
% 14.00/9.23 inference(quant_inst,[status(thm)],[])).
% 14.00/9.23 tff(4048,plain,
% 14.00/9.23 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB20, constB21)) | (v101(constB21) <=> (~((~v1(constB21)) | (~v102(constB21)))))),
% 14.00/9.23 inference(modus_ponens,[status(thm)],[4047, 4046])).
% 14.00/9.23 tff(4049,plain,
% 14.00/9.23 (v101(constB21) <=> (~((~v1(constB21)) | (~v102(constB21))))),
% 14.00/9.23 inference(unit_resolution,[status(thm)],[4048, 4038, 450])).
% 14.00/9.23 tff(4050,plain,
% 14.00/9.23 (((~v1(constB21)) | (~v102(constB21))) | v1(constB21)),
% 14.00/9.23 inference(tautology,[status(thm)],[])).
% 14.00/9.23 tff(4051,plain,
% 14.00/9.23 ((~v1(constB21)) | (~v102(constB21))),
% 14.00/9.23 inference(unit_resolution,[status(thm)],[4050, 3999])).
% 14.00/9.23 tff(4052,plain,
% 14.00/9.23 ((~(v101(constB21) <=> (~((~v1(constB21)) | (~v102(constB21)))))) | (~v101(constB21)) | (~((~v1(constB21)) | (~v102(constB21))))),
% 14.00/9.23 inference(tautology,[status(thm)],[])).
% 14.00/9.23 tff(4053,plain,
% 14.00/9.23 ((~(v101(constB21) <=> (~((~v1(constB21)) | (~v102(constB21)))))) | (~v101(constB21))),
% 14.00/9.23 inference(unit_resolution,[status(thm)],[4052, 4051])).
% 14.00/9.23 tff(4054,plain,
% 14.00/9.23 (~v101(constB21)),
% 14.00/9.23 inference(unit_resolution,[status(thm)],[4053, 4049])).
% 14.00/9.23 tff(4055,plain,
% 14.00/9.23 (((~v101(constB21)) | (~v110(constB21))) | v101(constB21)),
% 14.00/9.23 inference(tautology,[status(thm)],[])).
% 14.00/9.23 tff(4056,plain,
% 14.00/9.23 ((~v101(constB21)) | (~v110(constB21))),
% 14.00/9.23 inference(unit_resolution,[status(thm)],[4055, 4054])).
% 14.00/9.23 tff(4057,plain,
% 14.00/9.23 ((~(v100(constB21) <=> (~((~v101(constB21)) | (~v110(constB21)))))) | (~v100(constB21)) | (~((~v101(constB21)) | (~v110(constB21))))),
% 14.00/9.23 inference(tautology,[status(thm)],[])).
% 14.00/9.23 tff(4058,plain,
% 14.00/9.23 (~v100(constB21)),
% 14.00/9.23 inference(unit_resolution,[status(thm)],[4057, 4056, 4042])).
% 14.00/9.23 tff(4059,plain,
% 14.00/9.23 (((~![VarCurr: $i, VarNext: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v90(VarCurr, B))))) | (v100(constB21) | (~nextState(constB20, constB21)) | ![B: $i] : ((~less_3(B)) | (v90(constB21, B) <=> v90(constB20, B))))) <=> ((~![VarCurr: $i, VarNext: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v90(VarCurr, B))))) | v100(constB21) | (~nextState(constB20, constB21)) | ![B: $i] : ((~less_3(B)) | (v90(constB21, B) <=> v90(constB20, B))))),
% 14.00/9.23 inference(rewrite,[status(thm)],[])).
% 14.00/9.23 tff(4060,plain,
% 14.00/9.23 ((~![VarCurr: $i, VarNext: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v90(VarCurr, B))))) | (v100(constB21) | (~nextState(constB20, constB21)) | ![B: $i] : ((~less_3(B)) | (v90(constB21, B) <=> v90(constB20, B))))),
% 14.00/9.23 inference(quant_inst,[status(thm)],[])).
% 14.00/9.23 tff(4061,plain,
% 14.00/9.23 ((~![VarCurr: $i, VarNext: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v90(VarCurr, B))))) | v100(constB21) | (~nextState(constB20, constB21)) | ![B: $i] : ((~less_3(B)) | (v90(constB21, B) <=> v90(constB20, B)))),
% 14.00/9.23 inference(modus_ponens,[status(thm)],[4060, 4059])).
% 14.00/9.23 tff(4062,plain,
% 14.00/9.23 (v100(constB21) | ![B: $i] : ((~less_3(B)) | (v90(constB21, B) <=> v90(constB20, B)))),
% 14.00/9.23 inference(unit_resolution,[status(thm)],[4061, 4038, 479])).
% 14.00/9.23 tff(4063,plain,
% 14.00/9.23 (![B: $i] : ((~less_3(B)) | (v90(constB21, B) <=> v90(constB20, B)))),
% 14.00/9.23 inference(unit_resolution,[status(thm)],[4062, 4058])).
% 14.00/9.23 tff(4064,plain,
% 14.00/9.23 (((~![B: $i] : ((~less_3(B)) | (v90(constB21, B) <=> v90(constB20, B)))) | ((~less_3(bitIndex2)) | (v90(constB21, bitIndex2) <=> v90(constB20, bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v90(constB21, B) <=> v90(constB20, B)))) | (~less_3(bitIndex2)) | (v90(constB21, bitIndex2) <=> v90(constB20, bitIndex2)))),
% 14.00/9.23 inference(rewrite,[status(thm)],[])).
% 14.00/9.23 tff(4065,plain,
% 14.00/9.23 ((~![B: $i] : ((~less_3(B)) | (v90(constB21, B) <=> v90(constB20, B)))) | ((~less_3(bitIndex2)) | (v90(constB21, bitIndex2) <=> v90(constB20, bitIndex2)))),
% 14.00/9.23 inference(quant_inst,[status(thm)],[])).
% 14.00/9.23 tff(4066,plain,
% 14.00/9.23 ((~![B: $i] : ((~less_3(B)) | (v90(constB21, B) <=> v90(constB20, B)))) | (~less_3(bitIndex2)) | (v90(constB21, bitIndex2) <=> v90(constB20, bitIndex2))),
% 14.00/9.23 inference(modus_ponens,[status(thm)],[4065, 4064])).
% 14.00/9.23 tff(4067,plain,
% 14.00/9.23 (v90(constB21, bitIndex2) <=> v90(constB20, bitIndex2)),
% 14.00/9.23 inference(unit_resolution,[status(thm)],[4066, 413, 4063])).
% 14.00/9.23 tff(4068,plain,
% 14.00/9.23 (nextState(constB19, constB20) <=> nextState(constB19, constB20)),
% 14.00/9.23 inference(rewrite,[status(thm)],[])).
% 14.00/9.23 tff(4069,axiom,(nextState(constB19, constB20)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_19')).
% 14.00/9.23 tff(4070,plain,
% 14.00/9.23 (nextState(constB19, constB20)),
% 14.00/9.23 inference(modus_ponens,[status(thm)],[4069, 4068])).
% 14.00/9.23 tff(4071,plain,
% 14.00/9.23 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB19, constB20)) | (v100(constB20) <=> (~((~v101(constB20)) | (~v110(constB20))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB19, constB20)) | (v100(constB20) <=> (~((~v101(constB20)) | (~v110(constB20))))))),
% 14.00/9.23 inference(rewrite,[status(thm)],[])).
% 14.00/9.23 tff(4072,plain,
% 14.00/9.23 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB19, constB20)) | (v100(constB20) <=> (~((~v101(constB20)) | (~v110(constB20))))))),
% 14.00/9.23 inference(quant_inst,[status(thm)],[])).
% 14.00/9.23 tff(4073,plain,
% 14.00/9.23 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB19, constB20)) | (v100(constB20) <=> (~((~v101(constB20)) | (~v110(constB20)))))),
% 14.00/9.23 inference(modus_ponens,[status(thm)],[4072, 4071])).
% 14.00/9.23 tff(4074,plain,
% 14.00/9.23 (v100(constB20) <=> (~((~v101(constB20)) | (~v110(constB20))))),
% 14.00/9.23 inference(unit_resolution,[status(thm)],[4073, 4070, 430])).
% 14.00/9.23 tff(4075,plain,
% 14.00/9.23 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB19, constB20)) | (v101(constB20) <=> (~((~v1(constB20)) | (~v102(constB20))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB19, constB20)) | (v101(constB20) <=> (~((~v1(constB20)) | (~v102(constB20))))))),
% 14.00/9.23 inference(rewrite,[status(thm)],[])).
% 14.00/9.23 tff(4076,plain,
% 14.00/9.23 (((~nextState(constB19, constB20)) | (v101(constB20) <=> (~((~v102(constB20)) | (~v1(constB20)))))) <=> ((~nextState(constB19, constB20)) | (v101(constB20) <=> (~((~v1(constB20)) | (~v102(constB20))))))),
% 14.00/9.23 inference(rewrite,[status(thm)],[])).
% 14.00/9.23 tff(4077,plain,
% 14.00/9.23 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB19, constB20)) | (v101(constB20) <=> (~((~v102(constB20)) | (~v1(constB20))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB19, constB20)) | (v101(constB20) <=> (~((~v1(constB20)) | (~v102(constB20)))))))),
% 14.00/9.23 inference(monotonicity,[status(thm)],[4076])).
% 14.00/9.23 tff(4078,plain,
% 14.00/9.23 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB19, constB20)) | (v101(constB20) <=> (~((~v102(constB20)) | (~v1(constB20))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB19, constB20)) | (v101(constB20) <=> (~((~v1(constB20)) | (~v102(constB20))))))),
% 14.00/9.23 inference(transitivity,[status(thm)],[4077, 4075])).
% 14.00/9.23 tff(4079,plain,
% 14.00/9.23 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB19, constB20)) | (v101(constB20) <=> (~((~v102(constB20)) | (~v1(constB20))))))),
% 14.00/9.23 inference(quant_inst,[status(thm)],[])).
% 14.00/9.23 tff(4080,plain,
% 14.00/9.23 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB19, constB20)) | (v101(constB20) <=> (~((~v1(constB20)) | (~v102(constB20)))))),
% 14.00/9.23 inference(modus_ponens,[status(thm)],[4079, 4078])).
% 14.00/9.23 tff(4081,plain,
% 14.00/9.23 (v101(constB20) <=> (~((~v1(constB20)) | (~v102(constB20))))),
% 14.00/9.23 inference(unit_resolution,[status(thm)],[4080, 4070, 450])).
% 14.00/9.23 tff(4082,plain,
% 14.00/9.23 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | ((~nextState(constB19, constB20)) | ((~v102(constB20)) <=> v104(constB20)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | (~nextState(constB19, constB20)) | ((~v102(constB20)) <=> v104(constB20)))),
% 14.00/9.23 inference(rewrite,[status(thm)],[])).
% 14.00/9.23 tff(4083,plain,
% 14.00/9.23 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | ((~nextState(constB19, constB20)) | ((~v102(constB20)) <=> v104(constB20)))),
% 14.00/9.23 inference(quant_inst,[status(thm)],[])).
% 14.00/9.23 tff(4084,plain,
% 14.00/9.23 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | (~nextState(constB19, constB20)) | ((~v102(constB20)) <=> v104(constB20))),
% 14.00/9.23 inference(modus_ponens,[status(thm)],[4083, 4082])).
% 14.00/9.23 tff(4085,plain,
% 14.00/9.23 ((~v102(constB20)) <=> v104(constB20)),
% 14.00/9.23 inference(unit_resolution,[status(thm)],[4084, 4070, 512])).
% 14.00/9.23 tff(4086,plain,
% 14.00/9.23 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB19, constB20)) | (v104(constB20) <=> v1(constB19)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | (~nextState(constB19, constB20)) | (v104(constB20) <=> v1(constB19)))),
% 14.00/9.23 inference(rewrite,[status(thm)],[])).
% 14.00/9.23 tff(4087,plain,
% 14.00/9.23 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB19, constB20)) | (v104(constB20) <=> v1(constB19)))),
% 14.00/9.23 inference(quant_inst,[status(thm)],[])).
% 14.00/9.23 tff(4088,plain,
% 14.00/9.23 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | (~nextState(constB19, constB20)) | (v104(constB20) <=> v1(constB19))),
% 14.00/9.23 inference(modus_ponens,[status(thm)],[4087, 4086])).
% 14.00/9.23 tff(4089,plain,
% 14.00/9.23 (v104(constB20) <=> v1(constB19)),
% 14.00/9.23 inference(unit_resolution,[status(thm)],[4088, 4070, 526])).
% 14.00/9.23 tff(4090,plain,
% 14.00/9.23 ((~v1(constB19)) <=> (~v1(constB19))),
% 14.00/9.23 inference(rewrite,[status(thm)],[])).
% 14.00/9.23 tff(4091,axiom,(~v1(constB19)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_19')).
% 14.00/9.23 tff(4092,plain,
% 14.00/9.23 (~v1(constB19)),
% 14.00/9.23 inference(modus_ponens,[status(thm)],[4091, 4090])).
% 14.00/9.23 tff(4093,plain,
% 14.00/9.23 ((~(v104(constB20) <=> v1(constB19))) | (~v104(constB20)) | v1(constB19)),
% 14.00/9.23 inference(tautology,[status(thm)],[])).
% 14.00/9.23 tff(4094,plain,
% 14.00/9.23 ((~(v104(constB20) <=> v1(constB19))) | (~v104(constB20))),
% 14.00/9.23 inference(unit_resolution,[status(thm)],[4093, 4092])).
% 14.00/9.23 tff(4095,plain,
% 14.00/9.23 (~v104(constB20)),
% 14.00/9.23 inference(unit_resolution,[status(thm)],[4094, 4089])).
% 14.00/9.23 tff(4096,plain,
% 14.00/9.23 ((~((~v102(constB20)) <=> v104(constB20))) | v102(constB20) | v104(constB20)),
% 14.00/9.23 inference(tautology,[status(thm)],[])).
% 14.00/9.23 tff(4097,plain,
% 14.00/9.23 (v102(constB20)),
% 14.00/9.23 inference(unit_resolution,[status(thm)],[4096, 4095, 4085])).
% 14.00/9.23 tff(4098,plain,
% 14.00/9.23 (v1(constB20) <=> v1(constB20)),
% 14.00/9.23 inference(rewrite,[status(thm)],[])).
% 14.00/9.23 tff(4099,axiom,(v1(constB20)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_20')).
% 14.00/9.23 tff(4100,plain,
% 14.00/9.23 (v1(constB20)),
% 14.00/9.23 inference(modus_ponens,[status(thm)],[4099, 4098])).
% 14.00/9.23 tff(4101,plain,
% 14.00/9.23 ((~((~v1(constB20)) | (~v102(constB20)))) | (~v1(constB20)) | (~v102(constB20))),
% 14.00/9.23 inference(tautology,[status(thm)],[])).
% 14.00/9.23 tff(4102,plain,
% 14.00/9.23 ((~((~v1(constB20)) | (~v102(constB20)))) | (~v102(constB20))),
% 14.00/9.23 inference(unit_resolution,[status(thm)],[4101, 4100])).
% 14.00/9.23 tff(4103,plain,
% 14.00/9.23 (~((~v1(constB20)) | (~v102(constB20)))),
% 14.00/9.23 inference(unit_resolution,[status(thm)],[4102, 4097])).
% 14.00/9.23 tff(4104,plain,
% 14.00/9.23 ((~(v101(constB20) <=> (~((~v1(constB20)) | (~v102(constB20)))))) | v101(constB20) | ((~v1(constB20)) | (~v102(constB20)))),
% 14.00/9.23 inference(tautology,[status(thm)],[])).
% 14.00/9.23 tff(4105,plain,
% 14.00/9.23 (v101(constB20)),
% 14.00/9.23 inference(unit_resolution,[status(thm)],[4104, 4103, 4081])).
% 14.00/9.23 tff(4106,plain,
% 14.00/9.23 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | ((~nextState(constB19, constB20)) | (v110(constB20) <=> v108(constB19)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | (~nextState(constB19, constB20)) | (v110(constB20) <=> v108(constB19)))),
% 14.00/9.23 inference(rewrite,[status(thm)],[])).
% 14.00/9.23 tff(4107,plain,
% 14.00/9.23 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | ((~nextState(constB19, constB20)) | (v110(constB20) <=> v108(constB19)))),
% 14.00/9.23 inference(quant_inst,[status(thm)],[])).
% 14.00/9.23 tff(4108,plain,
% 14.00/9.23 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | (~nextState(constB19, constB20)) | (v110(constB20) <=> v108(constB19))),
% 14.00/9.23 inference(modus_ponens,[status(thm)],[4107, 4106])).
% 14.00/9.23 tff(4109,plain,
% 14.00/9.23 (v110(constB20) <=> v108(constB19)),
% 14.00/9.23 inference(unit_resolution,[status(thm)],[4108, 4070, 556])).
% 14.00/9.23 tff(4110,plain,
% 14.00/9.23 ((~![VarCurr: $i] : (v108(VarCurr) <=> (v111(VarCurr) | v112(VarCurr)))) | (v108(constB19) <=> (v111(constB19) | v112(constB19)))),
% 14.00/9.23 inference(quant_inst,[status(thm)],[])).
% 14.00/9.23 tff(4111,plain,
% 14.00/9.23 (v108(constB19) <=> (v111(constB19) | v112(constB19))),
% 14.00/9.23 inference(unit_resolution,[status(thm)],[4110, 567])).
% 14.00/9.23 tff(4112,plain,
% 14.00/9.23 ((~![VarCurr: $i] : (v112(VarCurr) <=> (~((~v113(VarCurr)) | (~v126(VarCurr)))))) | (v112(constB19) <=> (~((~v113(constB19)) | (~v126(constB19)))))),
% 14.00/9.23 inference(quant_inst,[status(thm)],[])).
% 14.00/9.23 tff(4113,plain,
% 14.00/9.23 (v112(constB19) <=> (~((~v113(constB19)) | (~v126(constB19))))),
% 14.00/9.23 inference(unit_resolution,[status(thm)],[4112, 579])).
% 14.00/9.23 tff(4114,plain,
% 14.00/9.23 ((~![VarCurr: $i] : (v113(VarCurr) <=> (v114(VarCurr) | v125(VarCurr)))) | (v113(constB19) <=> (v114(constB19) | v125(constB19)))),
% 14.00/9.23 inference(quant_inst,[status(thm)],[])).
% 14.00/9.23 tff(4115,plain,
% 14.00/9.23 (v113(constB19) <=> (v114(constB19) | v125(constB19))),
% 14.00/9.23 inference(unit_resolution,[status(thm)],[4114, 588])).
% 14.00/9.23 tff(4116,plain,
% 14.00/9.23 ((~![VarCurr: $i] : (v114(VarCurr) <=> (v115(VarCurr) | v124(VarCurr)))) | (v114(constB19) <=> (v115(constB19) | v124(constB19)))),
% 14.00/9.23 inference(quant_inst,[status(thm)],[])).
% 14.00/9.23 tff(4117,plain,
% 14.00/9.23 (v114(constB19) <=> (v115(constB19) | v124(constB19))),
% 14.00/9.23 inference(unit_resolution,[status(thm)],[4116, 597])).
% 14.00/9.23 tff(4118,plain,
% 14.00/9.23 ((~![VarCurr: $i] : (v115(VarCurr) <=> (v116(VarCurr) | v123(VarCurr)))) | (v115(constB19) <=> (v116(constB19) | v123(constB19)))),
% 14.00/9.23 inference(quant_inst,[status(thm)],[])).
% 14.00/9.23 tff(4119,plain,
% 14.00/9.23 (v115(constB19) <=> (v116(constB19) | v123(constB19))),
% 14.00/9.23 inference(unit_resolution,[status(thm)],[4118, 606])).
% 14.00/9.23 tff(4120,plain,
% 14.00/9.23 ((~![VarCurr: $i] : (v116(VarCurr) <=> (v117(VarCurr) | v122(VarCurr)))) | (v116(constB19) <=> (v117(constB19) | v122(constB19)))),
% 14.00/9.23 inference(quant_inst,[status(thm)],[])).
% 14.00/9.23 tff(4121,plain,
% 14.00/9.23 (v116(constB19) <=> (v117(constB19) | v122(constB19))),
% 14.00/9.23 inference(unit_resolution,[status(thm)],[4120, 719])).
% 14.00/9.23 tff(4122,plain,
% 14.00/9.23 ((~![VarCurr: $i] : (v117(VarCurr) <=> (v118(VarCurr) | v121(VarCurr)))) | (v117(constB19) <=> (v118(constB19) | v121(constB19)))),
% 14.00/9.23 inference(quant_inst,[status(thm)],[])).
% 14.00/9.23 tff(4123,plain,
% 14.00/9.23 (v117(constB19) <=> (v118(constB19) | v121(constB19))),
% 14.00/9.23 inference(unit_resolution,[status(thm)],[4122, 834])).
% 14.00/9.23 tff(4124,plain,
% 14.00/9.23 (((~![VarCurr: $i] : (v121(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex1)))))) | (v121(constB19) <=> (~(v90(constB19, bitIndex2) | (~v90(constB19, bitIndex1)) | v90(constB19, bitIndex0))))) <=> ((~![VarCurr: $i] : (v121(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex1)))))) | (v121(constB19) <=> (~(v90(constB19, bitIndex2) | (~v90(constB19, bitIndex1)) | v90(constB19, bitIndex0)))))),
% 14.00/9.23 inference(rewrite,[status(thm)],[])).
% 14.00/9.23 tff(4125,plain,
% 14.00/9.23 ((v121(constB19) <=> (~(v90(constB19, bitIndex0) | v90(constB19, bitIndex2) | (~v90(constB19, bitIndex1))))) <=> (v121(constB19) <=> (~(v90(constB19, bitIndex2) | (~v90(constB19, bitIndex1)) | v90(constB19, bitIndex0))))),
% 14.00/9.23 inference(rewrite,[status(thm)],[])).
% 14.00/9.23 tff(4126,plain,
% 14.00/9.23 (((~![VarCurr: $i] : (v121(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex1)))))) | (v121(constB19) <=> (~(v90(constB19, bitIndex0) | v90(constB19, bitIndex2) | (~v90(constB19, bitIndex1)))))) <=> ((~![VarCurr: $i] : (v121(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex1)))))) | (v121(constB19) <=> (~(v90(constB19, bitIndex2) | (~v90(constB19, bitIndex1)) | v90(constB19, bitIndex0)))))),
% 14.00/9.23 inference(monotonicity,[status(thm)],[4125])).
% 14.00/9.23 tff(4127,plain,
% 14.00/9.23 (((~![VarCurr: $i] : (v121(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex1)))))) | (v121(constB19) <=> (~(v90(constB19, bitIndex0) | v90(constB19, bitIndex2) | (~v90(constB19, bitIndex1)))))) <=> ((~![VarCurr: $i] : (v121(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex1)))))) | (v121(constB19) <=> (~(v90(constB19, bitIndex2) | (~v90(constB19, bitIndex1)) | v90(constB19, bitIndex0)))))),
% 14.00/9.23 inference(transitivity,[status(thm)],[4126, 4124])).
% 14.00/9.23 tff(4128,plain,
% 14.00/9.23 ((~![VarCurr: $i] : (v121(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex1)))))) | (v121(constB19) <=> (~(v90(constB19, bitIndex0) | v90(constB19, bitIndex2) | (~v90(constB19, bitIndex1)))))),
% 14.00/9.23 inference(quant_inst,[status(thm)],[])).
% 14.00/9.23 tff(4129,plain,
% 14.00/9.23 ((~![VarCurr: $i] : (v121(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex1)))))) | (v121(constB19) <=> (~(v90(constB19, bitIndex2) | (~v90(constB19, bitIndex1)) | v90(constB19, bitIndex0))))),
% 14.00/9.23 inference(modus_ponens,[status(thm)],[4128, 4127])).
% 14.00/9.23 tff(4130,plain,
% 14.00/9.23 (v121(constB19) <=> (~(v90(constB19, bitIndex2) | (~v90(constB19, bitIndex1)) | v90(constB19, bitIndex0)))),
% 14.00/9.23 inference(unit_resolution,[status(thm)],[4129, 849])).
% 14.00/9.23 tff(4131,plain,
% 14.00/9.23 (nextState(constB18, constB19) <=> nextState(constB18, constB19)),
% 14.00/9.23 inference(rewrite,[status(thm)],[])).
% 14.00/9.23 tff(4132,axiom,(nextState(constB18, constB19)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_18')).
% 14.00/9.23 tff(4133,plain,
% 14.00/9.23 (nextState(constB18, constB19)),
% 14.00/9.23 inference(modus_ponens,[status(thm)],[4132, 4131])).
% 14.00/9.23 tff(4134,plain,
% 14.00/9.23 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB18, constB19)) | (v100(constB19) <=> (~((~v101(constB19)) | (~v110(constB19))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB18, constB19)) | (v100(constB19) <=> (~((~v101(constB19)) | (~v110(constB19))))))),
% 14.00/9.23 inference(rewrite,[status(thm)],[])).
% 14.00/9.23 tff(4135,plain,
% 14.00/9.23 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB18, constB19)) | (v100(constB19) <=> (~((~v101(constB19)) | (~v110(constB19))))))),
% 14.00/9.23 inference(quant_inst,[status(thm)],[])).
% 14.00/9.23 tff(4136,plain,
% 14.00/9.23 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB18, constB19)) | (v100(constB19) <=> (~((~v101(constB19)) | (~v110(constB19)))))),
% 14.00/9.23 inference(modus_ponens,[status(thm)],[4135, 4134])).
% 14.00/9.23 tff(4137,plain,
% 14.00/9.23 (v100(constB19) <=> (~((~v101(constB19)) | (~v110(constB19))))),
% 14.00/9.23 inference(unit_resolution,[status(thm)],[4136, 4133, 430])).
% 14.00/9.23 tff(4138,plain,
% 14.00/9.23 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB18, constB19)) | (v101(constB19) <=> (~((~v1(constB19)) | (~v102(constB19))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB18, constB19)) | (v101(constB19) <=> (~((~v1(constB19)) | (~v102(constB19))))))),
% 14.00/9.24 inference(rewrite,[status(thm)],[])).
% 14.00/9.24 tff(4139,plain,
% 14.00/9.24 (((~nextState(constB18, constB19)) | (v101(constB19) <=> (~((~v102(constB19)) | (~v1(constB19)))))) <=> ((~nextState(constB18, constB19)) | (v101(constB19) <=> (~((~v1(constB19)) | (~v102(constB19))))))),
% 14.00/9.24 inference(rewrite,[status(thm)],[])).
% 14.00/9.24 tff(4140,plain,
% 14.00/9.24 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB18, constB19)) | (v101(constB19) <=> (~((~v102(constB19)) | (~v1(constB19))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB18, constB19)) | (v101(constB19) <=> (~((~v1(constB19)) | (~v102(constB19)))))))),
% 14.00/9.24 inference(monotonicity,[status(thm)],[4139])).
% 14.00/9.24 tff(4141,plain,
% 14.00/9.24 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB18, constB19)) | (v101(constB19) <=> (~((~v102(constB19)) | (~v1(constB19))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB18, constB19)) | (v101(constB19) <=> (~((~v1(constB19)) | (~v102(constB19))))))),
% 14.00/9.24 inference(transitivity,[status(thm)],[4140, 4138])).
% 14.00/9.24 tff(4142,plain,
% 14.00/9.24 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB18, constB19)) | (v101(constB19) <=> (~((~v102(constB19)) | (~v1(constB19))))))),
% 14.00/9.24 inference(quant_inst,[status(thm)],[])).
% 14.00/9.24 tff(4143,plain,
% 14.00/9.24 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB18, constB19)) | (v101(constB19) <=> (~((~v1(constB19)) | (~v102(constB19)))))),
% 14.00/9.24 inference(modus_ponens,[status(thm)],[4142, 4141])).
% 14.00/9.24 tff(4144,plain,
% 14.00/9.24 (v101(constB19) <=> (~((~v1(constB19)) | (~v102(constB19))))),
% 14.00/9.24 inference(unit_resolution,[status(thm)],[4143, 4133, 450])).
% 14.00/9.24 tff(4145,plain,
% 14.00/9.24 (((~v1(constB19)) | (~v102(constB19))) | v1(constB19)),
% 14.00/9.24 inference(tautology,[status(thm)],[])).
% 14.00/9.24 tff(4146,plain,
% 14.00/9.24 ((~v1(constB19)) | (~v102(constB19))),
% 14.00/9.24 inference(unit_resolution,[status(thm)],[4145, 4092])).
% 14.00/9.24 tff(4147,plain,
% 14.00/9.24 ((~(v101(constB19) <=> (~((~v1(constB19)) | (~v102(constB19)))))) | (~v101(constB19)) | (~((~v1(constB19)) | (~v102(constB19))))),
% 14.00/9.24 inference(tautology,[status(thm)],[])).
% 14.00/9.24 tff(4148,plain,
% 14.00/9.24 ((~(v101(constB19) <=> (~((~v1(constB19)) | (~v102(constB19)))))) | (~v101(constB19))),
% 14.00/9.24 inference(unit_resolution,[status(thm)],[4147, 4146])).
% 14.00/9.24 tff(4149,plain,
% 14.00/9.24 (~v101(constB19)),
% 14.00/9.24 inference(unit_resolution,[status(thm)],[4148, 4144])).
% 14.00/9.24 tff(4150,plain,
% 14.00/9.24 (((~v101(constB19)) | (~v110(constB19))) | v101(constB19)),
% 14.00/9.24 inference(tautology,[status(thm)],[])).
% 14.00/9.24 tff(4151,plain,
% 14.00/9.24 ((~v101(constB19)) | (~v110(constB19))),
% 14.00/9.24 inference(unit_resolution,[status(thm)],[4150, 4149])).
% 14.00/9.24 tff(4152,plain,
% 14.00/9.24 ((~(v100(constB19) <=> (~((~v101(constB19)) | (~v110(constB19)))))) | (~v100(constB19)) | (~((~v101(constB19)) | (~v110(constB19))))),
% 14.00/9.24 inference(tautology,[status(thm)],[])).
% 14.00/9.24 tff(4153,plain,
% 14.00/9.24 (~v100(constB19)),
% 14.00/9.24 inference(unit_resolution,[status(thm)],[4152, 4151, 4137])).
% 14.00/9.24 tff(4154,plain,
% 14.00/9.24 (((~![VarCurr: $i, VarNext: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v90(VarCurr, B))))) | (v100(constB19) | (~nextState(constB18, constB19)) | ![B: $i] : ((~less_3(B)) | (v90(constB19, B) <=> v90(constB18, B))))) <=> ((~![VarCurr: $i, VarNext: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v90(VarCurr, B))))) | v100(constB19) | (~nextState(constB18, constB19)) | ![B: $i] : ((~less_3(B)) | (v90(constB19, B) <=> v90(constB18, B))))),
% 14.00/9.24 inference(rewrite,[status(thm)],[])).
% 14.00/9.24 tff(4155,plain,
% 14.00/9.24 ((~![VarCurr: $i, VarNext: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v90(VarCurr, B))))) | (v100(constB19) | (~nextState(constB18, constB19)) | ![B: $i] : ((~less_3(B)) | (v90(constB19, B) <=> v90(constB18, B))))),
% 14.00/9.24 inference(quant_inst,[status(thm)],[])).
% 14.00/9.24 tff(4156,plain,
% 14.00/9.24 ((~![VarCurr: $i, VarNext: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v90(VarCurr, B))))) | v100(constB19) | (~nextState(constB18, constB19)) | ![B: $i] : ((~less_3(B)) | (v90(constB19, B) <=> v90(constB18, B)))),
% 14.00/9.24 inference(modus_ponens,[status(thm)],[4155, 4154])).
% 14.00/9.24 tff(4157,plain,
% 14.00/9.24 (v100(constB19) | ![B: $i] : ((~less_3(B)) | (v90(constB19, B) <=> v90(constB18, B)))),
% 14.00/9.24 inference(unit_resolution,[status(thm)],[4156, 4133, 479])).
% 14.00/9.24 tff(4158,plain,
% 14.00/9.24 (![B: $i] : ((~less_3(B)) | (v90(constB19, B) <=> v90(constB18, B)))),
% 14.00/9.24 inference(unit_resolution,[status(thm)],[4157, 4153])).
% 14.00/9.24 tff(4159,plain,
% 14.00/9.24 (((~![B: $i] : ((~less_3(B)) | (v90(constB19, B) <=> v90(constB18, B)))) | ((~less_3(bitIndex2)) | (v90(constB19, bitIndex2) <=> v90(constB18, bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v90(constB19, B) <=> v90(constB18, B)))) | (~less_3(bitIndex2)) | (v90(constB19, bitIndex2) <=> v90(constB18, bitIndex2)))),
% 14.00/9.24 inference(rewrite,[status(thm)],[])).
% 14.00/9.24 tff(4160,plain,
% 14.00/9.24 ((~![B: $i] : ((~less_3(B)) | (v90(constB19, B) <=> v90(constB18, B)))) | ((~less_3(bitIndex2)) | (v90(constB19, bitIndex2) <=> v90(constB18, bitIndex2)))),
% 14.00/9.24 inference(quant_inst,[status(thm)],[])).
% 14.00/9.24 tff(4161,plain,
% 14.00/9.24 ((~![B: $i] : ((~less_3(B)) | (v90(constB19, B) <=> v90(constB18, B)))) | (~less_3(bitIndex2)) | (v90(constB19, bitIndex2) <=> v90(constB18, bitIndex2))),
% 14.00/9.24 inference(modus_ponens,[status(thm)],[4160, 4159])).
% 14.00/9.24 tff(4162,plain,
% 14.00/9.24 (v90(constB19, bitIndex2) <=> v90(constB18, bitIndex2)),
% 14.00/9.24 inference(unit_resolution,[status(thm)],[4161, 413, 4158])).
% 14.00/9.24 tff(4163,plain,
% 14.00/9.24 (nextState(constB17, constB18) <=> nextState(constB17, constB18)),
% 14.00/9.24 inference(rewrite,[status(thm)],[])).
% 14.00/9.24 tff(4164,axiom,(nextState(constB17, constB18)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_17')).
% 14.00/9.24 tff(4165,plain,
% 14.00/9.24 (nextState(constB17, constB18)),
% 14.00/9.24 inference(modus_ponens,[status(thm)],[4164, 4163])).
% 14.00/9.24 tff(4166,plain,
% 14.00/9.24 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB17, constB18)) | (v100(constB18) <=> (~((~v101(constB18)) | (~v110(constB18))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB17, constB18)) | (v100(constB18) <=> (~((~v101(constB18)) | (~v110(constB18))))))),
% 14.00/9.24 inference(rewrite,[status(thm)],[])).
% 14.00/9.24 tff(4167,plain,
% 14.00/9.24 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB17, constB18)) | (v100(constB18) <=> (~((~v101(constB18)) | (~v110(constB18))))))),
% 14.00/9.24 inference(quant_inst,[status(thm)],[])).
% 14.00/9.24 tff(4168,plain,
% 14.00/9.24 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB17, constB18)) | (v100(constB18) <=> (~((~v101(constB18)) | (~v110(constB18)))))),
% 14.00/9.24 inference(modus_ponens,[status(thm)],[4167, 4166])).
% 14.00/9.24 tff(4169,plain,
% 14.00/9.24 (v100(constB18) <=> (~((~v101(constB18)) | (~v110(constB18))))),
% 14.00/9.24 inference(unit_resolution,[status(thm)],[4168, 4165, 430])).
% 14.00/9.24 tff(4170,plain,
% 14.00/9.24 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB17, constB18)) | (v101(constB18) <=> (~((~v1(constB18)) | (~v102(constB18))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB17, constB18)) | (v101(constB18) <=> (~((~v1(constB18)) | (~v102(constB18))))))),
% 14.00/9.24 inference(rewrite,[status(thm)],[])).
% 14.00/9.24 tff(4171,plain,
% 14.00/9.24 (((~nextState(constB17, constB18)) | (v101(constB18) <=> (~((~v102(constB18)) | (~v1(constB18)))))) <=> ((~nextState(constB17, constB18)) | (v101(constB18) <=> (~((~v1(constB18)) | (~v102(constB18))))))),
% 14.00/9.24 inference(rewrite,[status(thm)],[])).
% 14.00/9.24 tff(4172,plain,
% 14.00/9.24 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB17, constB18)) | (v101(constB18) <=> (~((~v102(constB18)) | (~v1(constB18))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB17, constB18)) | (v101(constB18) <=> (~((~v1(constB18)) | (~v102(constB18)))))))),
% 14.00/9.24 inference(monotonicity,[status(thm)],[4171])).
% 14.00/9.24 tff(4173,plain,
% 14.00/9.24 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB17, constB18)) | (v101(constB18) <=> (~((~v102(constB18)) | (~v1(constB18))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB17, constB18)) | (v101(constB18) <=> (~((~v1(constB18)) | (~v102(constB18))))))),
% 14.00/9.24 inference(transitivity,[status(thm)],[4172, 4170])).
% 14.00/9.24 tff(4174,plain,
% 14.00/9.24 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB17, constB18)) | (v101(constB18) <=> (~((~v102(constB18)) | (~v1(constB18))))))),
% 14.00/9.24 inference(quant_inst,[status(thm)],[])).
% 14.00/9.24 tff(4175,plain,
% 14.00/9.24 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB17, constB18)) | (v101(constB18) <=> (~((~v1(constB18)) | (~v102(constB18)))))),
% 14.00/9.24 inference(modus_ponens,[status(thm)],[4174, 4173])).
% 14.00/9.24 tff(4176,plain,
% 14.00/9.24 (v101(constB18) <=> (~((~v1(constB18)) | (~v102(constB18))))),
% 14.00/9.24 inference(unit_resolution,[status(thm)],[4175, 4165, 450])).
% 14.00/9.24 tff(4177,plain,
% 14.00/9.24 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | ((~nextState(constB17, constB18)) | ((~v102(constB18)) <=> v104(constB18)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | (~nextState(constB17, constB18)) | ((~v102(constB18)) <=> v104(constB18)))),
% 14.00/9.24 inference(rewrite,[status(thm)],[])).
% 14.00/9.24 tff(4178,plain,
% 14.00/9.24 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | ((~nextState(constB17, constB18)) | ((~v102(constB18)) <=> v104(constB18)))),
% 14.00/9.24 inference(quant_inst,[status(thm)],[])).
% 14.00/9.24 tff(4179,plain,
% 14.00/9.24 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | (~nextState(constB17, constB18)) | ((~v102(constB18)) <=> v104(constB18))),
% 14.00/9.24 inference(modus_ponens,[status(thm)],[4178, 4177])).
% 14.00/9.24 tff(4180,plain,
% 14.00/9.24 ((~v102(constB18)) <=> v104(constB18)),
% 14.00/9.24 inference(unit_resolution,[status(thm)],[4179, 4165, 512])).
% 14.00/9.24 tff(4181,plain,
% 14.00/9.24 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB17, constB18)) | (v104(constB18) <=> v1(constB17)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | (~nextState(constB17, constB18)) | (v104(constB18) <=> v1(constB17)))),
% 14.00/9.24 inference(rewrite,[status(thm)],[])).
% 14.00/9.24 tff(4182,plain,
% 14.00/9.24 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB17, constB18)) | (v104(constB18) <=> v1(constB17)))),
% 14.00/9.24 inference(quant_inst,[status(thm)],[])).
% 14.00/9.24 tff(4183,plain,
% 14.00/9.24 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | (~nextState(constB17, constB18)) | (v104(constB18) <=> v1(constB17))),
% 14.00/9.24 inference(modus_ponens,[status(thm)],[4182, 4181])).
% 14.00/9.24 tff(4184,plain,
% 14.00/9.24 (v104(constB18) <=> v1(constB17)),
% 14.00/9.24 inference(unit_resolution,[status(thm)],[4183, 4165, 526])).
% 14.00/9.24 tff(4185,plain,
% 14.00/9.24 ((~v1(constB17)) <=> (~v1(constB17))),
% 14.00/9.24 inference(rewrite,[status(thm)],[])).
% 14.00/9.24 tff(4186,axiom,(~v1(constB17)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_17')).
% 14.00/9.24 tff(4187,plain,
% 14.00/9.24 (~v1(constB17)),
% 14.00/9.24 inference(modus_ponens,[status(thm)],[4186, 4185])).
% 14.00/9.24 tff(4188,plain,
% 14.00/9.24 ((~(v104(constB18) <=> v1(constB17))) | (~v104(constB18)) | v1(constB17)),
% 14.00/9.24 inference(tautology,[status(thm)],[])).
% 14.00/9.24 tff(4189,plain,
% 14.00/9.24 ((~(v104(constB18) <=> v1(constB17))) | (~v104(constB18))),
% 14.00/9.24 inference(unit_resolution,[status(thm)],[4188, 4187])).
% 14.00/9.24 tff(4190,plain,
% 14.00/9.24 (~v104(constB18)),
% 14.00/9.24 inference(unit_resolution,[status(thm)],[4189, 4184])).
% 14.00/9.24 tff(4191,plain,
% 14.00/9.24 ((~((~v102(constB18)) <=> v104(constB18))) | v102(constB18) | v104(constB18)),
% 14.00/9.24 inference(tautology,[status(thm)],[])).
% 14.00/9.24 tff(4192,plain,
% 14.00/9.24 (v102(constB18)),
% 14.00/9.24 inference(unit_resolution,[status(thm)],[4191, 4190, 4180])).
% 14.00/9.24 tff(4193,plain,
% 14.00/9.24 (v1(constB18) <=> v1(constB18)),
% 14.00/9.24 inference(rewrite,[status(thm)],[])).
% 14.00/9.24 tff(4194,axiom,(v1(constB18)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_18')).
% 14.00/9.24 tff(4195,plain,
% 14.00/9.24 (v1(constB18)),
% 14.00/9.24 inference(modus_ponens,[status(thm)],[4194, 4193])).
% 14.00/9.24 tff(4196,plain,
% 14.00/9.24 ((~((~v1(constB18)) | (~v102(constB18)))) | (~v1(constB18)) | (~v102(constB18))),
% 14.00/9.24 inference(tautology,[status(thm)],[])).
% 14.00/9.24 tff(4197,plain,
% 14.00/9.24 ((~((~v1(constB18)) | (~v102(constB18)))) | (~v102(constB18))),
% 14.00/9.24 inference(unit_resolution,[status(thm)],[4196, 4195])).
% 14.00/9.24 tff(4198,plain,
% 14.00/9.24 (~((~v1(constB18)) | (~v102(constB18)))),
% 14.00/9.24 inference(unit_resolution,[status(thm)],[4197, 4192])).
% 14.00/9.24 tff(4199,plain,
% 14.00/9.24 ((~(v101(constB18) <=> (~((~v1(constB18)) | (~v102(constB18)))))) | v101(constB18) | ((~v1(constB18)) | (~v102(constB18)))),
% 14.00/9.24 inference(tautology,[status(thm)],[])).
% 14.00/9.24 tff(4200,plain,
% 14.00/9.24 (v101(constB18)),
% 14.00/9.24 inference(unit_resolution,[status(thm)],[4199, 4198, 4176])).
% 14.00/9.24 tff(4201,plain,
% 14.00/9.24 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | ((~nextState(constB17, constB18)) | (v110(constB18) <=> v108(constB17)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | (~nextState(constB17, constB18)) | (v110(constB18) <=> v108(constB17)))),
% 14.00/9.24 inference(rewrite,[status(thm)],[])).
% 14.00/9.24 tff(4202,plain,
% 14.00/9.24 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | ((~nextState(constB17, constB18)) | (v110(constB18) <=> v108(constB17)))),
% 14.00/9.24 inference(quant_inst,[status(thm)],[])).
% 14.00/9.24 tff(4203,plain,
% 14.00/9.24 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | (~nextState(constB17, constB18)) | (v110(constB18) <=> v108(constB17))),
% 14.00/9.24 inference(modus_ponens,[status(thm)],[4202, 4201])).
% 14.00/9.24 tff(4204,plain,
% 14.00/9.24 (v110(constB18) <=> v108(constB17)),
% 14.00/9.24 inference(unit_resolution,[status(thm)],[4203, 4165, 556])).
% 14.00/9.24 tff(4205,plain,
% 14.00/9.24 ((~![VarCurr: $i] : (v108(VarCurr) <=> (v111(VarCurr) | v112(VarCurr)))) | (v108(constB17) <=> (v111(constB17) | v112(constB17)))),
% 14.00/9.24 inference(quant_inst,[status(thm)],[])).
% 14.00/9.24 tff(4206,plain,
% 14.00/9.24 (v108(constB17) <=> (v111(constB17) | v112(constB17))),
% 14.00/9.24 inference(unit_resolution,[status(thm)],[4205, 567])).
% 14.00/9.24 tff(4207,plain,
% 14.00/9.24 ((~![VarCurr: $i] : (v112(VarCurr) <=> (~((~v113(VarCurr)) | (~v126(VarCurr)))))) | (v112(constB17) <=> (~((~v113(constB17)) | (~v126(constB17)))))),
% 14.00/9.24 inference(quant_inst,[status(thm)],[])).
% 14.00/9.24 tff(4208,plain,
% 14.00/9.24 (v112(constB17) <=> (~((~v113(constB17)) | (~v126(constB17))))),
% 14.00/9.24 inference(unit_resolution,[status(thm)],[4207, 579])).
% 14.00/9.24 tff(4209,plain,
% 14.00/9.24 ((~![VarCurr: $i] : (v113(VarCurr) <=> (v114(VarCurr) | v125(VarCurr)))) | (v113(constB17) <=> (v114(constB17) | v125(constB17)))),
% 14.00/9.24 inference(quant_inst,[status(thm)],[])).
% 14.00/9.24 tff(4210,plain,
% 14.00/9.24 (v113(constB17) <=> (v114(constB17) | v125(constB17))),
% 14.00/9.24 inference(unit_resolution,[status(thm)],[4209, 588])).
% 14.00/9.24 tff(4211,plain,
% 14.00/9.24 ((~![VarCurr: $i] : (v114(VarCurr) <=> (v115(VarCurr) | v124(VarCurr)))) | (v114(constB17) <=> (v115(constB17) | v124(constB17)))),
% 14.00/9.24 inference(quant_inst,[status(thm)],[])).
% 14.00/9.24 tff(4212,plain,
% 14.00/9.24 (v114(constB17) <=> (v115(constB17) | v124(constB17))),
% 14.00/9.24 inference(unit_resolution,[status(thm)],[4211, 597])).
% 14.00/9.24 tff(4213,plain,
% 14.00/9.24 ((~![VarCurr: $i] : (v115(VarCurr) <=> (v116(VarCurr) | v123(VarCurr)))) | (v115(constB17) <=> (v116(constB17) | v123(constB17)))),
% 14.00/9.24 inference(quant_inst,[status(thm)],[])).
% 14.00/9.24 tff(4214,plain,
% 14.00/9.24 (v115(constB17) <=> (v116(constB17) | v123(constB17))),
% 14.00/9.24 inference(unit_resolution,[status(thm)],[4213, 606])).
% 14.00/9.24 tff(4215,plain,
% 14.00/9.24 ((~![VarCurr: $i] : (v116(VarCurr) <=> (v117(VarCurr) | v122(VarCurr)))) | (v116(constB17) <=> (v117(constB17) | v122(constB17)))),
% 14.00/9.24 inference(quant_inst,[status(thm)],[])).
% 14.00/9.24 tff(4216,plain,
% 14.00/9.24 (v116(constB17) <=> (v117(constB17) | v122(constB17))),
% 14.00/9.24 inference(unit_resolution,[status(thm)],[4215, 719])).
% 14.00/9.24 tff(4217,plain,
% 14.00/9.24 ((~![VarCurr: $i] : (v117(VarCurr) <=> (v118(VarCurr) | v121(VarCurr)))) | (v117(constB17) <=> (v118(constB17) | v121(constB17)))),
% 14.00/9.24 inference(quant_inst,[status(thm)],[])).
% 14.00/9.24 tff(4218,plain,
% 14.00/9.24 (v117(constB17) <=> (v118(constB17) | v121(constB17))),
% 14.00/9.24 inference(unit_resolution,[status(thm)],[4217, 834])).
% 14.00/9.24 tff(4219,plain,
% 14.00/9.24 ((~![VarCurr: $i] : (v118(VarCurr) <=> (v119(VarCurr) | v120(VarCurr)))) | (v118(constB17) <=> (v119(constB17) | v120(constB17)))),
% 14.00/9.24 inference(quant_inst,[status(thm)],[])).
% 14.00/9.24 tff(4220,plain,
% 14.00/9.24 (v118(constB17) <=> (v119(constB17) | v120(constB17))),
% 14.00/9.24 inference(unit_resolution,[status(thm)],[4219, 951])).
% 14.00/9.24 tff(4221,plain,
% 14.00/9.24 (((~![VarCurr: $i] : (v120(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)))))) | (v120(constB17) <=> (~(v90(constB17, bitIndex2) | v90(constB17, bitIndex1) | (~v90(constB17, bitIndex0)))))) <=> ((~![VarCurr: $i] : (v120(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)))))) | (v120(constB17) <=> (~(v90(constB17, bitIndex2) | v90(constB17, bitIndex1) | (~v90(constB17, bitIndex0))))))),
% 14.00/9.24 inference(rewrite,[status(thm)],[])).
% 14.00/9.24 tff(4222,plain,
% 14.00/9.24 ((v120(constB17) <=> (~(v90(constB17, bitIndex1) | v90(constB17, bitIndex2) | (~v90(constB17, bitIndex0))))) <=> (v120(constB17) <=> (~(v90(constB17, bitIndex2) | v90(constB17, bitIndex1) | (~v90(constB17, bitIndex0)))))),
% 14.00/9.24 inference(rewrite,[status(thm)],[])).
% 14.00/9.24 tff(4223,plain,
% 14.00/9.24 (((~![VarCurr: $i] : (v120(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)))))) | (v120(constB17) <=> (~(v90(constB17, bitIndex1) | v90(constB17, bitIndex2) | (~v90(constB17, bitIndex0)))))) <=> ((~![VarCurr: $i] : (v120(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)))))) | (v120(constB17) <=> (~(v90(constB17, bitIndex2) | v90(constB17, bitIndex1) | (~v90(constB17, bitIndex0))))))),
% 14.00/9.24 inference(monotonicity,[status(thm)],[4222])).
% 14.00/9.24 tff(4224,plain,
% 14.00/9.24 (((~![VarCurr: $i] : (v120(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)))))) | (v120(constB17) <=> (~(v90(constB17, bitIndex1) | v90(constB17, bitIndex2) | (~v90(constB17, bitIndex0)))))) <=> ((~![VarCurr: $i] : (v120(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)))))) | (v120(constB17) <=> (~(v90(constB17, bitIndex2) | v90(constB17, bitIndex1) | (~v90(constB17, bitIndex0))))))),
% 14.00/9.24 inference(transitivity,[status(thm)],[4223, 4221])).
% 14.00/9.24 tff(4225,plain,
% 14.00/9.24 ((~![VarCurr: $i] : (v120(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)))))) | (v120(constB17) <=> (~(v90(constB17, bitIndex1) | v90(constB17, bitIndex2) | (~v90(constB17, bitIndex0)))))),
% 14.00/9.24 inference(quant_inst,[status(thm)],[])).
% 14.00/9.24 tff(4226,plain,
% 14.00/9.24 ((~![VarCurr: $i] : (v120(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)))))) | (v120(constB17) <=> (~(v90(constB17, bitIndex2) | v90(constB17, bitIndex1) | (~v90(constB17, bitIndex0)))))),
% 14.00/9.24 inference(modus_ponens,[status(thm)],[4225, 4224])).
% 14.00/9.24 tff(4227,plain,
% 14.00/9.24 (v120(constB17) <=> (~(v90(constB17, bitIndex2) | v90(constB17, bitIndex1) | (~v90(constB17, bitIndex0))))),
% 14.00/9.24 inference(unit_resolution,[status(thm)],[4226, 966])).
% 14.00/9.24 tff(4228,plain,
% 14.00/9.24 (nextState(constB16, constB17) <=> nextState(constB16, constB17)),
% 14.00/9.24 inference(rewrite,[status(thm)],[])).
% 14.00/9.24 tff(4229,axiom,(nextState(constB16, constB17)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_16')).
% 14.00/9.24 tff(4230,plain,
% 14.00/9.24 (nextState(constB16, constB17)),
% 14.00/9.24 inference(modus_ponens,[status(thm)],[4229, 4228])).
% 14.00/9.24 tff(4231,plain,
% 14.00/9.24 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB16, constB17)) | (v100(constB17) <=> (~((~v101(constB17)) | (~v110(constB17))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB16, constB17)) | (v100(constB17) <=> (~((~v101(constB17)) | (~v110(constB17))))))),
% 14.00/9.24 inference(rewrite,[status(thm)],[])).
% 14.00/9.24 tff(4232,plain,
% 14.00/9.24 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB16, constB17)) | (v100(constB17) <=> (~((~v101(constB17)) | (~v110(constB17))))))),
% 14.00/9.24 inference(quant_inst,[status(thm)],[])).
% 14.00/9.24 tff(4233,plain,
% 14.00/9.24 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB16, constB17)) | (v100(constB17) <=> (~((~v101(constB17)) | (~v110(constB17)))))),
% 14.00/9.24 inference(modus_ponens,[status(thm)],[4232, 4231])).
% 14.00/9.24 tff(4234,plain,
% 14.00/9.24 (v100(constB17) <=> (~((~v101(constB17)) | (~v110(constB17))))),
% 14.00/9.24 inference(unit_resolution,[status(thm)],[4233, 4230, 430])).
% 14.00/9.24 tff(4235,plain,
% 14.00/9.24 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB16, constB17)) | (v101(constB17) <=> (~((~v1(constB17)) | (~v102(constB17))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB16, constB17)) | (v101(constB17) <=> (~((~v1(constB17)) | (~v102(constB17))))))),
% 14.00/9.24 inference(rewrite,[status(thm)],[])).
% 14.00/9.24 tff(4236,plain,
% 14.00/9.24 (((~nextState(constB16, constB17)) | (v101(constB17) <=> (~((~v102(constB17)) | (~v1(constB17)))))) <=> ((~nextState(constB16, constB17)) | (v101(constB17) <=> (~((~v1(constB17)) | (~v102(constB17))))))),
% 14.00/9.24 inference(rewrite,[status(thm)],[])).
% 14.00/9.24 tff(4237,plain,
% 14.00/9.24 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB16, constB17)) | (v101(constB17) <=> (~((~v102(constB17)) | (~v1(constB17))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB16, constB17)) | (v101(constB17) <=> (~((~v1(constB17)) | (~v102(constB17)))))))),
% 14.00/9.24 inference(monotonicity,[status(thm)],[4236])).
% 14.00/9.24 tff(4238,plain,
% 14.00/9.24 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB16, constB17)) | (v101(constB17) <=> (~((~v102(constB17)) | (~v1(constB17))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB16, constB17)) | (v101(constB17) <=> (~((~v1(constB17)) | (~v102(constB17))))))),
% 14.00/9.24 inference(transitivity,[status(thm)],[4237, 4235])).
% 14.00/9.24 tff(4239,plain,
% 14.00/9.24 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB16, constB17)) | (v101(constB17) <=> (~((~v102(constB17)) | (~v1(constB17))))))),
% 14.00/9.24 inference(quant_inst,[status(thm)],[])).
% 14.00/9.24 tff(4240,plain,
% 14.00/9.24 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB16, constB17)) | (v101(constB17) <=> (~((~v1(constB17)) | (~v102(constB17)))))),
% 14.00/9.24 inference(modus_ponens,[status(thm)],[4239, 4238])).
% 14.00/9.24 tff(4241,plain,
% 14.00/9.24 (v101(constB17) <=> (~((~v1(constB17)) | (~v102(constB17))))),
% 14.00/9.24 inference(unit_resolution,[status(thm)],[4240, 4230, 450])).
% 14.00/9.24 tff(4242,plain,
% 14.00/9.24 (((~v1(constB17)) | (~v102(constB17))) | v1(constB17)),
% 14.00/9.24 inference(tautology,[status(thm)],[])).
% 14.00/9.24 tff(4243,plain,
% 14.00/9.24 ((~v1(constB17)) | (~v102(constB17))),
% 14.00/9.24 inference(unit_resolution,[status(thm)],[4242, 4187])).
% 14.00/9.24 tff(4244,plain,
% 14.00/9.24 ((~(v101(constB17) <=> (~((~v1(constB17)) | (~v102(constB17)))))) | (~v101(constB17)) | (~((~v1(constB17)) | (~v102(constB17))))),
% 14.00/9.24 inference(tautology,[status(thm)],[])).
% 14.00/9.24 tff(4245,plain,
% 14.00/9.24 ((~(v101(constB17) <=> (~((~v1(constB17)) | (~v102(constB17)))))) | (~v101(constB17))),
% 14.00/9.24 inference(unit_resolution,[status(thm)],[4244, 4243])).
% 14.00/9.24 tff(4246,plain,
% 14.00/9.24 (~v101(constB17)),
% 14.00/9.24 inference(unit_resolution,[status(thm)],[4245, 4241])).
% 14.00/9.24 tff(4247,plain,
% 14.00/9.24 (((~v101(constB17)) | (~v110(constB17))) | v101(constB17)),
% 14.00/9.24 inference(tautology,[status(thm)],[])).
% 14.00/9.24 tff(4248,plain,
% 14.00/9.24 ((~v101(constB17)) | (~v110(constB17))),
% 14.00/9.24 inference(unit_resolution,[status(thm)],[4247, 4246])).
% 14.00/9.24 tff(4249,plain,
% 14.00/9.24 ((~(v100(constB17) <=> (~((~v101(constB17)) | (~v110(constB17)))))) | (~v100(constB17)) | (~((~v101(constB17)) | (~v110(constB17))))),
% 14.00/9.24 inference(tautology,[status(thm)],[])).
% 14.00/9.24 tff(4250,plain,
% 14.00/9.24 (~v100(constB17)),
% 14.00/9.24 inference(unit_resolution,[status(thm)],[4249, 4248, 4234])).
% 14.00/9.24 tff(4251,plain,
% 14.00/9.24 (((~![VarCurr: $i, VarNext: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v90(VarCurr, B))))) | (v100(constB17) | (~nextState(constB16, constB17)) | ![B: $i] : ((~less_3(B)) | (v90(constB17, B) <=> v90(constB16, B))))) <=> ((~![VarCurr: $i, VarNext: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v90(VarCurr, B))))) | v100(constB17) | (~nextState(constB16, constB17)) | ![B: $i] : ((~less_3(B)) | (v90(constB17, B) <=> v90(constB16, B))))),
% 14.00/9.24 inference(rewrite,[status(thm)],[])).
% 14.00/9.24 tff(4252,plain,
% 14.00/9.24 ((~![VarCurr: $i, VarNext: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v90(VarCurr, B))))) | (v100(constB17) | (~nextState(constB16, constB17)) | ![B: $i] : ((~less_3(B)) | (v90(constB17, B) <=> v90(constB16, B))))),
% 14.00/9.24 inference(quant_inst,[status(thm)],[])).
% 14.00/9.24 tff(4253,plain,
% 14.00/9.24 ((~![VarCurr: $i, VarNext: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v90(VarCurr, B))))) | v100(constB17) | (~nextState(constB16, constB17)) | ![B: $i] : ((~less_3(B)) | (v90(constB17, B) <=> v90(constB16, B)))),
% 14.00/9.24 inference(modus_ponens,[status(thm)],[4252, 4251])).
% 14.00/9.24 tff(4254,plain,
% 14.00/9.24 (v100(constB17) | ![B: $i] : ((~less_3(B)) | (v90(constB17, B) <=> v90(constB16, B)))),
% 14.00/9.24 inference(unit_resolution,[status(thm)],[4253, 4230, 479])).
% 14.00/9.24 tff(4255,plain,
% 14.00/9.24 (![B: $i] : ((~less_3(B)) | (v90(constB17, B) <=> v90(constB16, B)))),
% 14.00/9.24 inference(unit_resolution,[status(thm)],[4254, 4250])).
% 14.00/9.24 tff(4256,plain,
% 14.00/9.24 (((~![B: $i] : ((~less_3(B)) | (v90(constB17, B) <=> v90(constB16, B)))) | ((~less_3(bitIndex2)) | (v90(constB17, bitIndex2) <=> v90(constB16, bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v90(constB17, B) <=> v90(constB16, B)))) | (~less_3(bitIndex2)) | (v90(constB17, bitIndex2) <=> v90(constB16, bitIndex2)))),
% 14.00/9.24 inference(rewrite,[status(thm)],[])).
% 14.00/9.24 tff(4257,plain,
% 14.00/9.24 ((~![B: $i] : ((~less_3(B)) | (v90(constB17, B) <=> v90(constB16, B)))) | ((~less_3(bitIndex2)) | (v90(constB17, bitIndex2) <=> v90(constB16, bitIndex2)))),
% 14.00/9.24 inference(quant_inst,[status(thm)],[])).
% 14.00/9.24 tff(4258,plain,
% 14.00/9.24 ((~![B: $i] : ((~less_3(B)) | (v90(constB17, B) <=> v90(constB16, B)))) | (~less_3(bitIndex2)) | (v90(constB17, bitIndex2) <=> v90(constB16, bitIndex2))),
% 14.00/9.24 inference(modus_ponens,[status(thm)],[4257, 4256])).
% 14.00/9.24 tff(4259,plain,
% 14.00/9.24 (v90(constB17, bitIndex2) <=> v90(constB16, bitIndex2)),
% 14.00/9.24 inference(unit_resolution,[status(thm)],[4258, 413, 4255])).
% 14.00/9.24 tff(4260,plain,
% 14.00/9.24 (nextState(constB15, constB16) <=> nextState(constB15, constB16)),
% 14.00/9.24 inference(rewrite,[status(thm)],[])).
% 14.00/9.24 tff(4261,axiom,(nextState(constB15, constB16)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_15')).
% 14.00/9.24 tff(4262,plain,
% 14.00/9.24 (nextState(constB15, constB16)),
% 14.00/9.24 inference(modus_ponens,[status(thm)],[4261, 4260])).
% 14.00/9.24 tff(4263,plain,
% 14.00/9.24 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB15, constB16)) | (v100(constB16) <=> (~((~v101(constB16)) | (~v110(constB16))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB15, constB16)) | (v100(constB16) <=> (~((~v101(constB16)) | (~v110(constB16))))))),
% 14.00/9.25 inference(rewrite,[status(thm)],[])).
% 14.00/9.25 tff(4264,plain,
% 14.00/9.25 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB15, constB16)) | (v100(constB16) <=> (~((~v101(constB16)) | (~v110(constB16))))))),
% 14.00/9.25 inference(quant_inst,[status(thm)],[])).
% 14.00/9.25 tff(4265,plain,
% 14.00/9.25 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB15, constB16)) | (v100(constB16) <=> (~((~v101(constB16)) | (~v110(constB16)))))),
% 14.00/9.25 inference(modus_ponens,[status(thm)],[4264, 4263])).
% 14.00/9.25 tff(4266,plain,
% 14.00/9.25 (v100(constB16) <=> (~((~v101(constB16)) | (~v110(constB16))))),
% 14.00/9.25 inference(unit_resolution,[status(thm)],[4265, 4262, 430])).
% 14.00/9.25 tff(4267,plain,
% 14.00/9.25 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB15, constB16)) | (v101(constB16) <=> (~((~v1(constB16)) | (~v102(constB16))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB15, constB16)) | (v101(constB16) <=> (~((~v1(constB16)) | (~v102(constB16))))))),
% 14.00/9.25 inference(rewrite,[status(thm)],[])).
% 14.00/9.25 tff(4268,plain,
% 14.00/9.25 (((~nextState(constB15, constB16)) | (v101(constB16) <=> (~((~v102(constB16)) | (~v1(constB16)))))) <=> ((~nextState(constB15, constB16)) | (v101(constB16) <=> (~((~v1(constB16)) | (~v102(constB16))))))),
% 14.00/9.25 inference(rewrite,[status(thm)],[])).
% 14.00/9.25 tff(4269,plain,
% 14.00/9.25 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB15, constB16)) | (v101(constB16) <=> (~((~v102(constB16)) | (~v1(constB16))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB15, constB16)) | (v101(constB16) <=> (~((~v1(constB16)) | (~v102(constB16)))))))),
% 14.00/9.25 inference(monotonicity,[status(thm)],[4268])).
% 14.00/9.25 tff(4270,plain,
% 14.00/9.25 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB15, constB16)) | (v101(constB16) <=> (~((~v102(constB16)) | (~v1(constB16))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB15, constB16)) | (v101(constB16) <=> (~((~v1(constB16)) | (~v102(constB16))))))),
% 14.00/9.25 inference(transitivity,[status(thm)],[4269, 4267])).
% 14.00/9.25 tff(4271,plain,
% 14.00/9.25 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB15, constB16)) | (v101(constB16) <=> (~((~v102(constB16)) | (~v1(constB16))))))),
% 14.00/9.25 inference(quant_inst,[status(thm)],[])).
% 14.00/9.25 tff(4272,plain,
% 14.00/9.25 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB15, constB16)) | (v101(constB16) <=> (~((~v1(constB16)) | (~v102(constB16)))))),
% 14.00/9.25 inference(modus_ponens,[status(thm)],[4271, 4270])).
% 14.00/9.25 tff(4273,plain,
% 14.00/9.25 (v101(constB16) <=> (~((~v1(constB16)) | (~v102(constB16))))),
% 14.00/9.25 inference(unit_resolution,[status(thm)],[4272, 4262, 450])).
% 14.00/9.25 tff(4274,plain,
% 14.00/9.25 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | ((~nextState(constB15, constB16)) | ((~v102(constB16)) <=> v104(constB16)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | (~nextState(constB15, constB16)) | ((~v102(constB16)) <=> v104(constB16)))),
% 14.00/9.25 inference(rewrite,[status(thm)],[])).
% 14.00/9.25 tff(4275,plain,
% 14.00/9.25 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | ((~nextState(constB15, constB16)) | ((~v102(constB16)) <=> v104(constB16)))),
% 14.00/9.25 inference(quant_inst,[status(thm)],[])).
% 14.00/9.25 tff(4276,plain,
% 14.00/9.25 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | (~nextState(constB15, constB16)) | ((~v102(constB16)) <=> v104(constB16))),
% 14.00/9.25 inference(modus_ponens,[status(thm)],[4275, 4274])).
% 14.00/9.25 tff(4277,plain,
% 14.00/9.25 ((~v102(constB16)) <=> v104(constB16)),
% 14.00/9.25 inference(unit_resolution,[status(thm)],[4276, 4262, 512])).
% 14.00/9.25 tff(4278,plain,
% 14.00/9.25 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB15, constB16)) | (v104(constB16) <=> v1(constB15)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | (~nextState(constB15, constB16)) | (v104(constB16) <=> v1(constB15)))),
% 14.00/9.25 inference(rewrite,[status(thm)],[])).
% 14.00/9.25 tff(4279,plain,
% 14.00/9.25 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB15, constB16)) | (v104(constB16) <=> v1(constB15)))),
% 14.00/9.25 inference(quant_inst,[status(thm)],[])).
% 14.00/9.25 tff(4280,plain,
% 14.00/9.25 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | (~nextState(constB15, constB16)) | (v104(constB16) <=> v1(constB15))),
% 14.00/9.25 inference(modus_ponens,[status(thm)],[4279, 4278])).
% 14.00/9.25 tff(4281,plain,
% 14.00/9.25 (v104(constB16) <=> v1(constB15)),
% 14.00/9.25 inference(unit_resolution,[status(thm)],[4280, 4262, 526])).
% 14.00/9.25 tff(4282,plain,
% 14.00/9.25 ((~v1(constB15)) <=> (~v1(constB15))),
% 14.00/9.25 inference(rewrite,[status(thm)],[])).
% 14.00/9.25 tff(4283,axiom,(~v1(constB15)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_15')).
% 14.00/9.25 tff(4284,plain,
% 14.00/9.25 (~v1(constB15)),
% 14.00/9.25 inference(modus_ponens,[status(thm)],[4283, 4282])).
% 14.00/9.25 tff(4285,plain,
% 14.00/9.25 ((~(v104(constB16) <=> v1(constB15))) | (~v104(constB16)) | v1(constB15)),
% 14.00/9.25 inference(tautology,[status(thm)],[])).
% 14.00/9.25 tff(4286,plain,
% 14.00/9.25 ((~(v104(constB16) <=> v1(constB15))) | (~v104(constB16))),
% 14.00/9.25 inference(unit_resolution,[status(thm)],[4285, 4284])).
% 14.00/9.25 tff(4287,plain,
% 14.00/9.25 (~v104(constB16)),
% 14.00/9.25 inference(unit_resolution,[status(thm)],[4286, 4281])).
% 14.00/9.25 tff(4288,plain,
% 14.00/9.25 ((~((~v102(constB16)) <=> v104(constB16))) | v102(constB16) | v104(constB16)),
% 14.00/9.25 inference(tautology,[status(thm)],[])).
% 14.00/9.25 tff(4289,plain,
% 14.00/9.25 (v102(constB16)),
% 14.00/9.25 inference(unit_resolution,[status(thm)],[4288, 4287, 4277])).
% 14.00/9.25 tff(4290,plain,
% 14.00/9.25 (v1(constB16) <=> v1(constB16)),
% 14.00/9.25 inference(rewrite,[status(thm)],[])).
% 14.00/9.25 tff(4291,axiom,(v1(constB16)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_16')).
% 14.00/9.25 tff(4292,plain,
% 14.00/9.25 (v1(constB16)),
% 14.00/9.25 inference(modus_ponens,[status(thm)],[4291, 4290])).
% 14.00/9.25 tff(4293,plain,
% 14.00/9.25 ((~((~v1(constB16)) | (~v102(constB16)))) | (~v1(constB16)) | (~v102(constB16))),
% 14.00/9.25 inference(tautology,[status(thm)],[])).
% 14.00/9.25 tff(4294,plain,
% 14.00/9.25 ((~((~v1(constB16)) | (~v102(constB16)))) | (~v102(constB16))),
% 14.00/9.25 inference(unit_resolution,[status(thm)],[4293, 4292])).
% 14.00/9.25 tff(4295,plain,
% 14.00/9.25 (~((~v1(constB16)) | (~v102(constB16)))),
% 14.00/9.25 inference(unit_resolution,[status(thm)],[4294, 4289])).
% 14.00/9.25 tff(4296,plain,
% 14.00/9.25 ((~(v101(constB16) <=> (~((~v1(constB16)) | (~v102(constB16)))))) | v101(constB16) | ((~v1(constB16)) | (~v102(constB16)))),
% 14.00/9.25 inference(tautology,[status(thm)],[])).
% 14.00/9.25 tff(4297,plain,
% 14.00/9.25 (v101(constB16)),
% 14.00/9.25 inference(unit_resolution,[status(thm)],[4296, 4295, 4273])).
% 14.00/9.25 tff(4298,plain,
% 14.00/9.25 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | ((~nextState(constB15, constB16)) | (v110(constB16) <=> v108(constB15)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | (~nextState(constB15, constB16)) | (v110(constB16) <=> v108(constB15)))),
% 14.00/9.25 inference(rewrite,[status(thm)],[])).
% 14.00/9.25 tff(4299,plain,
% 14.00/9.25 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | ((~nextState(constB15, constB16)) | (v110(constB16) <=> v108(constB15)))),
% 14.00/9.25 inference(quant_inst,[status(thm)],[])).
% 14.00/9.25 tff(4300,plain,
% 14.00/9.25 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | (~nextState(constB15, constB16)) | (v110(constB16) <=> v108(constB15))),
% 14.00/9.25 inference(modus_ponens,[status(thm)],[4299, 4298])).
% 14.00/9.25 tff(4301,plain,
% 14.00/9.25 (v110(constB16) <=> v108(constB15)),
% 14.00/9.25 inference(unit_resolution,[status(thm)],[4300, 4262, 556])).
% 14.00/9.25 tff(4302,plain,
% 14.00/9.25 ((~![VarCurr: $i] : (v108(VarCurr) <=> (v111(VarCurr) | v112(VarCurr)))) | (v108(constB15) <=> (v111(constB15) | v112(constB15)))),
% 14.00/9.25 inference(quant_inst,[status(thm)],[])).
% 14.00/9.25 tff(4303,plain,
% 14.00/9.25 (v108(constB15) <=> (v111(constB15) | v112(constB15))),
% 14.00/9.25 inference(unit_resolution,[status(thm)],[4302, 567])).
% 14.00/9.25 tff(4304,plain,
% 14.00/9.25 ((~![VarCurr: $i] : (v112(VarCurr) <=> (~((~v113(VarCurr)) | (~v126(VarCurr)))))) | (v112(constB15) <=> (~((~v113(constB15)) | (~v126(constB15)))))),
% 14.00/9.25 inference(quant_inst,[status(thm)],[])).
% 14.00/9.25 tff(4305,plain,
% 14.00/9.25 (v112(constB15) <=> (~((~v113(constB15)) | (~v126(constB15))))),
% 14.00/9.25 inference(unit_resolution,[status(thm)],[4304, 579])).
% 14.00/9.25 tff(4306,plain,
% 14.00/9.25 ((~![VarCurr: $i] : (v113(VarCurr) <=> (v114(VarCurr) | v125(VarCurr)))) | (v113(constB15) <=> (v114(constB15) | v125(constB15)))),
% 14.00/9.25 inference(quant_inst,[status(thm)],[])).
% 14.00/9.25 tff(4307,plain,
% 14.00/9.25 (v113(constB15) <=> (v114(constB15) | v125(constB15))),
% 14.00/9.25 inference(unit_resolution,[status(thm)],[4306, 588])).
% 14.00/9.25 tff(4308,plain,
% 14.00/9.25 (((~![VarCurr: $i] : (v125(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2)))))) | (v125(constB15) <=> (~((~v90(constB15, bitIndex2)) | (~v90(constB15, bitIndex1)) | v90(constB15, bitIndex0))))) <=> ((~![VarCurr: $i] : (v125(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2)))))) | (v125(constB15) <=> (~((~v90(constB15, bitIndex2)) | (~v90(constB15, bitIndex1)) | v90(constB15, bitIndex0)))))),
% 14.00/9.25 inference(rewrite,[status(thm)],[])).
% 14.00/9.25 tff(4309,plain,
% 14.00/9.25 ((v125(constB15) <=> (~(v90(constB15, bitIndex0) | (~v90(constB15, bitIndex1)) | (~v90(constB15, bitIndex2))))) <=> (v125(constB15) <=> (~((~v90(constB15, bitIndex2)) | (~v90(constB15, bitIndex1)) | v90(constB15, bitIndex0))))),
% 14.00/9.25 inference(rewrite,[status(thm)],[])).
% 14.00/9.25 tff(4310,plain,
% 14.00/9.25 (((~![VarCurr: $i] : (v125(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2)))))) | (v125(constB15) <=> (~(v90(constB15, bitIndex0) | (~v90(constB15, bitIndex1)) | (~v90(constB15, bitIndex2)))))) <=> ((~![VarCurr: $i] : (v125(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2)))))) | (v125(constB15) <=> (~((~v90(constB15, bitIndex2)) | (~v90(constB15, bitIndex1)) | v90(constB15, bitIndex0)))))),
% 14.00/9.25 inference(monotonicity,[status(thm)],[4309])).
% 14.00/9.25 tff(4311,plain,
% 14.00/9.25 (((~![VarCurr: $i] : (v125(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2)))))) | (v125(constB15) <=> (~(v90(constB15, bitIndex0) | (~v90(constB15, bitIndex1)) | (~v90(constB15, bitIndex2)))))) <=> ((~![VarCurr: $i] : (v125(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2)))))) | (v125(constB15) <=> (~((~v90(constB15, bitIndex2)) | (~v90(constB15, bitIndex1)) | v90(constB15, bitIndex0)))))),
% 14.00/9.25 inference(transitivity,[status(thm)],[4310, 4308])).
% 14.00/9.25 tff(4312,plain,
% 14.00/9.25 ((~![VarCurr: $i] : (v125(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2)))))) | (v125(constB15) <=> (~(v90(constB15, bitIndex0) | (~v90(constB15, bitIndex1)) | (~v90(constB15, bitIndex2)))))),
% 14.00/9.25 inference(quant_inst,[status(thm)],[])).
% 14.00/9.25 tff(4313,plain,
% 14.00/9.25 ((~![VarCurr: $i] : (v125(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2)))))) | (v125(constB15) <=> (~((~v90(constB15, bitIndex2)) | (~v90(constB15, bitIndex1)) | v90(constB15, bitIndex0))))),
% 14.00/9.25 inference(modus_ponens,[status(thm)],[4312, 4311])).
% 14.00/9.25 tff(4314,plain,
% 14.00/9.25 (v125(constB15) <=> (~((~v90(constB15, bitIndex2)) | (~v90(constB15, bitIndex1)) | v90(constB15, bitIndex0)))),
% 14.00/9.25 inference(unit_resolution,[status(thm)],[4313, 1066])).
% 14.00/9.25 tff(4315,plain,
% 14.00/9.25 (nextState(constB14, constB15) <=> nextState(constB14, constB15)),
% 14.00/9.25 inference(rewrite,[status(thm)],[])).
% 14.00/9.25 tff(4316,axiom,(nextState(constB14, constB15)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_14')).
% 14.00/9.25 tff(4317,plain,
% 14.00/9.25 (nextState(constB14, constB15)),
% 14.00/9.25 inference(modus_ponens,[status(thm)],[4316, 4315])).
% 14.00/9.25 tff(4318,plain,
% 14.00/9.25 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB14, constB15)) | (v100(constB15) <=> (~((~v101(constB15)) | (~v110(constB15))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB14, constB15)) | (v100(constB15) <=> (~((~v101(constB15)) | (~v110(constB15))))))),
% 14.00/9.25 inference(rewrite,[status(thm)],[])).
% 14.00/9.25 tff(4319,plain,
% 14.00/9.25 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB14, constB15)) | (v100(constB15) <=> (~((~v101(constB15)) | (~v110(constB15))))))),
% 14.00/9.25 inference(quant_inst,[status(thm)],[])).
% 14.00/9.25 tff(4320,plain,
% 14.00/9.25 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB14, constB15)) | (v100(constB15) <=> (~((~v101(constB15)) | (~v110(constB15)))))),
% 14.00/9.25 inference(modus_ponens,[status(thm)],[4319, 4318])).
% 14.00/9.25 tff(4321,plain,
% 14.00/9.25 (v100(constB15) <=> (~((~v101(constB15)) | (~v110(constB15))))),
% 14.00/9.25 inference(unit_resolution,[status(thm)],[4320, 4317, 430])).
% 14.00/9.25 tff(4322,plain,
% 14.00/9.25 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB14, constB15)) | (v101(constB15) <=> (~((~v1(constB15)) | (~v102(constB15))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB14, constB15)) | (v101(constB15) <=> (~((~v1(constB15)) | (~v102(constB15))))))),
% 14.00/9.25 inference(rewrite,[status(thm)],[])).
% 14.00/9.25 tff(4323,plain,
% 14.00/9.25 (((~nextState(constB14, constB15)) | (v101(constB15) <=> (~((~v102(constB15)) | (~v1(constB15)))))) <=> ((~nextState(constB14, constB15)) | (v101(constB15) <=> (~((~v1(constB15)) | (~v102(constB15))))))),
% 14.00/9.25 inference(rewrite,[status(thm)],[])).
% 14.00/9.25 tff(4324,plain,
% 14.00/9.25 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB14, constB15)) | (v101(constB15) <=> (~((~v102(constB15)) | (~v1(constB15))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB14, constB15)) | (v101(constB15) <=> (~((~v1(constB15)) | (~v102(constB15)))))))),
% 14.00/9.25 inference(monotonicity,[status(thm)],[4323])).
% 14.00/9.25 tff(4325,plain,
% 14.00/9.25 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB14, constB15)) | (v101(constB15) <=> (~((~v102(constB15)) | (~v1(constB15))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB14, constB15)) | (v101(constB15) <=> (~((~v1(constB15)) | (~v102(constB15))))))),
% 14.00/9.25 inference(transitivity,[status(thm)],[4324, 4322])).
% 14.00/9.25 tff(4326,plain,
% 14.00/9.25 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB14, constB15)) | (v101(constB15) <=> (~((~v102(constB15)) | (~v1(constB15))))))),
% 14.00/9.25 inference(quant_inst,[status(thm)],[])).
% 14.00/9.25 tff(4327,plain,
% 14.00/9.25 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB14, constB15)) | (v101(constB15) <=> (~((~v1(constB15)) | (~v102(constB15)))))),
% 14.00/9.25 inference(modus_ponens,[status(thm)],[4326, 4325])).
% 14.00/9.25 tff(4328,plain,
% 14.00/9.25 (v101(constB15) <=> (~((~v1(constB15)) | (~v102(constB15))))),
% 14.00/9.25 inference(unit_resolution,[status(thm)],[4327, 4317, 450])).
% 14.00/9.25 tff(4329,plain,
% 14.00/9.25 (((~v1(constB15)) | (~v102(constB15))) | v1(constB15)),
% 14.00/9.25 inference(tautology,[status(thm)],[])).
% 14.00/9.25 tff(4330,plain,
% 14.00/9.25 ((~v1(constB15)) | (~v102(constB15))),
% 14.00/9.25 inference(unit_resolution,[status(thm)],[4329, 4284])).
% 14.00/9.25 tff(4331,plain,
% 14.00/9.25 ((~(v101(constB15) <=> (~((~v1(constB15)) | (~v102(constB15)))))) | (~v101(constB15)) | (~((~v1(constB15)) | (~v102(constB15))))),
% 14.00/9.25 inference(tautology,[status(thm)],[])).
% 14.00/9.25 tff(4332,plain,
% 14.00/9.25 ((~(v101(constB15) <=> (~((~v1(constB15)) | (~v102(constB15)))))) | (~v101(constB15))),
% 14.00/9.25 inference(unit_resolution,[status(thm)],[4331, 4330])).
% 14.00/9.25 tff(4333,plain,
% 14.00/9.25 (~v101(constB15)),
% 14.00/9.25 inference(unit_resolution,[status(thm)],[4332, 4328])).
% 14.00/9.25 tff(4334,plain,
% 14.00/9.25 (((~v101(constB15)) | (~v110(constB15))) | v101(constB15)),
% 14.00/9.25 inference(tautology,[status(thm)],[])).
% 14.00/9.25 tff(4335,plain,
% 14.00/9.25 ((~v101(constB15)) | (~v110(constB15))),
% 14.00/9.25 inference(unit_resolution,[status(thm)],[4334, 4333])).
% 14.00/9.25 tff(4336,plain,
% 14.00/9.25 ((~(v100(constB15) <=> (~((~v101(constB15)) | (~v110(constB15)))))) | (~v100(constB15)) | (~((~v101(constB15)) | (~v110(constB15))))),
% 14.00/9.25 inference(tautology,[status(thm)],[])).
% 14.00/9.25 tff(4337,plain,
% 14.00/9.25 (~v100(constB15)),
% 14.00/9.25 inference(unit_resolution,[status(thm)],[4336, 4335, 4321])).
% 14.00/9.25 tff(4338,plain,
% 14.00/9.25 (((~![VarCurr: $i, VarNext: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v90(VarCurr, B))))) | (v100(constB15) | (~nextState(constB14, constB15)) | ![B: $i] : ((~less_3(B)) | (v90(constB15, B) <=> v90(constB14, B))))) <=> ((~![VarCurr: $i, VarNext: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v90(VarCurr, B))))) | v100(constB15) | (~nextState(constB14, constB15)) | ![B: $i] : ((~less_3(B)) | (v90(constB15, B) <=> v90(constB14, B))))),
% 14.00/9.25 inference(rewrite,[status(thm)],[])).
% 14.00/9.25 tff(4339,plain,
% 14.00/9.25 ((~![VarCurr: $i, VarNext: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v90(VarCurr, B))))) | (v100(constB15) | (~nextState(constB14, constB15)) | ![B: $i] : ((~less_3(B)) | (v90(constB15, B) <=> v90(constB14, B))))),
% 14.00/9.25 inference(quant_inst,[status(thm)],[])).
% 14.00/9.25 tff(4340,plain,
% 14.00/9.25 ((~![VarCurr: $i, VarNext: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v90(VarCurr, B))))) | v100(constB15) | (~nextState(constB14, constB15)) | ![B: $i] : ((~less_3(B)) | (v90(constB15, B) <=> v90(constB14, B)))),
% 14.00/9.25 inference(modus_ponens,[status(thm)],[4339, 4338])).
% 14.00/9.25 tff(4341,plain,
% 14.00/9.25 (v100(constB15) | ![B: $i] : ((~less_3(B)) | (v90(constB15, B) <=> v90(constB14, B)))),
% 14.00/9.25 inference(unit_resolution,[status(thm)],[4340, 4317, 479])).
% 14.00/9.25 tff(4342,plain,
% 14.00/9.25 (![B: $i] : ((~less_3(B)) | (v90(constB15, B) <=> v90(constB14, B)))),
% 14.00/9.25 inference(unit_resolution,[status(thm)],[4341, 4337])).
% 14.00/9.25 tff(4343,plain,
% 14.00/9.25 (((~![B: $i] : ((~less_3(B)) | (v90(constB15, B) <=> v90(constB14, B)))) | ((~less_3(bitIndex2)) | (v90(constB15, bitIndex2) <=> v90(constB14, bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v90(constB15, B) <=> v90(constB14, B)))) | (~less_3(bitIndex2)) | (v90(constB15, bitIndex2) <=> v90(constB14, bitIndex2)))),
% 14.00/9.25 inference(rewrite,[status(thm)],[])).
% 14.00/9.25 tff(4344,plain,
% 14.00/9.25 ((~![B: $i] : ((~less_3(B)) | (v90(constB15, B) <=> v90(constB14, B)))) | ((~less_3(bitIndex2)) | (v90(constB15, bitIndex2) <=> v90(constB14, bitIndex2)))),
% 14.00/9.25 inference(quant_inst,[status(thm)],[])).
% 14.00/9.25 tff(4345,plain,
% 14.00/9.25 ((~![B: $i] : ((~less_3(B)) | (v90(constB15, B) <=> v90(constB14, B)))) | (~less_3(bitIndex2)) | (v90(constB15, bitIndex2) <=> v90(constB14, bitIndex2))),
% 14.00/9.25 inference(modus_ponens,[status(thm)],[4344, 4343])).
% 14.00/9.25 tff(4346,plain,
% 14.00/9.25 (v90(constB15, bitIndex2) <=> v90(constB14, bitIndex2)),
% 14.00/9.25 inference(unit_resolution,[status(thm)],[4345, 413, 4342])).
% 14.00/9.25 tff(4347,plain,
% 14.00/9.25 (nextState(constB13, constB14) <=> nextState(constB13, constB14)),
% 14.00/9.25 inference(rewrite,[status(thm)],[])).
% 14.00/9.25 tff(4348,axiom,(nextState(constB13, constB14)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_13')).
% 14.00/9.25 tff(4349,plain,
% 14.00/9.25 (nextState(constB13, constB14)),
% 14.00/9.25 inference(modus_ponens,[status(thm)],[4348, 4347])).
% 14.00/9.25 tff(4350,plain,
% 14.00/9.25 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB13, constB14)) | (v100(constB14) <=> (~((~v101(constB14)) | (~v110(constB14))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB13, constB14)) | (v100(constB14) <=> (~((~v101(constB14)) | (~v110(constB14))))))),
% 14.00/9.25 inference(rewrite,[status(thm)],[])).
% 14.00/9.25 tff(4351,plain,
% 14.00/9.25 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB13, constB14)) | (v100(constB14) <=> (~((~v101(constB14)) | (~v110(constB14))))))),
% 14.00/9.25 inference(quant_inst,[status(thm)],[])).
% 14.00/9.25 tff(4352,plain,
% 14.00/9.25 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB13, constB14)) | (v100(constB14) <=> (~((~v101(constB14)) | (~v110(constB14)))))),
% 14.00/9.25 inference(modus_ponens,[status(thm)],[4351, 4350])).
% 14.00/9.25 tff(4353,plain,
% 14.00/9.25 (v100(constB14) <=> (~((~v101(constB14)) | (~v110(constB14))))),
% 14.00/9.25 inference(unit_resolution,[status(thm)],[4352, 4349, 430])).
% 14.00/9.25 tff(4354,plain,
% 14.00/9.25 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB13, constB14)) | (v101(constB14) <=> (~((~v1(constB14)) | (~v102(constB14))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB13, constB14)) | (v101(constB14) <=> (~((~v1(constB14)) | (~v102(constB14))))))),
% 14.00/9.25 inference(rewrite,[status(thm)],[])).
% 14.00/9.25 tff(4355,plain,
% 14.00/9.25 (((~nextState(constB13, constB14)) | (v101(constB14) <=> (~((~v102(constB14)) | (~v1(constB14)))))) <=> ((~nextState(constB13, constB14)) | (v101(constB14) <=> (~((~v1(constB14)) | (~v102(constB14))))))),
% 14.00/9.25 inference(rewrite,[status(thm)],[])).
% 14.00/9.25 tff(4356,plain,
% 14.00/9.25 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB13, constB14)) | (v101(constB14) <=> (~((~v102(constB14)) | (~v1(constB14))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB13, constB14)) | (v101(constB14) <=> (~((~v1(constB14)) | (~v102(constB14)))))))),
% 14.00/9.25 inference(monotonicity,[status(thm)],[4355])).
% 14.00/9.25 tff(4357,plain,
% 14.00/9.25 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB13, constB14)) | (v101(constB14) <=> (~((~v102(constB14)) | (~v1(constB14))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB13, constB14)) | (v101(constB14) <=> (~((~v1(constB14)) | (~v102(constB14))))))),
% 14.00/9.25 inference(transitivity,[status(thm)],[4356, 4354])).
% 14.00/9.25 tff(4358,plain,
% 14.00/9.25 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB13, constB14)) | (v101(constB14) <=> (~((~v102(constB14)) | (~v1(constB14))))))),
% 14.00/9.25 inference(quant_inst,[status(thm)],[])).
% 14.00/9.25 tff(4359,plain,
% 14.00/9.25 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB13, constB14)) | (v101(constB14) <=> (~((~v1(constB14)) | (~v102(constB14)))))),
% 14.00/9.25 inference(modus_ponens,[status(thm)],[4358, 4357])).
% 14.00/9.25 tff(4360,plain,
% 14.00/9.25 (v101(constB14) <=> (~((~v1(constB14)) | (~v102(constB14))))),
% 14.00/9.25 inference(unit_resolution,[status(thm)],[4359, 4349, 450])).
% 14.00/9.25 tff(4361,plain,
% 14.00/9.25 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | ((~nextState(constB13, constB14)) | ((~v102(constB14)) <=> v104(constB14)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | (~nextState(constB13, constB14)) | ((~v102(constB14)) <=> v104(constB14)))),
% 14.00/9.25 inference(rewrite,[status(thm)],[])).
% 14.00/9.25 tff(4362,plain,
% 14.00/9.25 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | ((~nextState(constB13, constB14)) | ((~v102(constB14)) <=> v104(constB14)))),
% 14.00/9.25 inference(quant_inst,[status(thm)],[])).
% 14.00/9.25 tff(4363,plain,
% 14.00/9.25 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | (~nextState(constB13, constB14)) | ((~v102(constB14)) <=> v104(constB14))),
% 14.00/9.25 inference(modus_ponens,[status(thm)],[4362, 4361])).
% 14.00/9.25 tff(4364,plain,
% 14.00/9.25 ((~v102(constB14)) <=> v104(constB14)),
% 14.00/9.25 inference(unit_resolution,[status(thm)],[4363, 4349, 512])).
% 14.00/9.25 tff(4365,plain,
% 14.00/9.25 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB13, constB14)) | (v104(constB14) <=> v1(constB13)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | (~nextState(constB13, constB14)) | (v104(constB14) <=> v1(constB13)))),
% 14.00/9.25 inference(rewrite,[status(thm)],[])).
% 14.00/9.25 tff(4366,plain,
% 14.00/9.25 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB13, constB14)) | (v104(constB14) <=> v1(constB13)))),
% 14.00/9.25 inference(quant_inst,[status(thm)],[])).
% 14.00/9.25 tff(4367,plain,
% 14.00/9.25 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | (~nextState(constB13, constB14)) | (v104(constB14) <=> v1(constB13))),
% 14.00/9.25 inference(modus_ponens,[status(thm)],[4366, 4365])).
% 14.00/9.25 tff(4368,plain,
% 14.00/9.25 (v104(constB14) <=> v1(constB13)),
% 14.00/9.25 inference(unit_resolution,[status(thm)],[4367, 4349, 526])).
% 14.00/9.25 tff(4369,plain,
% 14.00/9.25 ((~v1(constB13)) <=> (~v1(constB13))),
% 14.00/9.25 inference(rewrite,[status(thm)],[])).
% 14.00/9.25 tff(4370,axiom,(~v1(constB13)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_13')).
% 14.00/9.25 tff(4371,plain,
% 14.00/9.25 (~v1(constB13)),
% 14.00/9.25 inference(modus_ponens,[status(thm)],[4370, 4369])).
% 14.00/9.25 tff(4372,plain,
% 14.00/9.25 ((~(v104(constB14) <=> v1(constB13))) | (~v104(constB14)) | v1(constB13)),
% 14.00/9.25 inference(tautology,[status(thm)],[])).
% 14.00/9.25 tff(4373,plain,
% 14.00/9.25 ((~(v104(constB14) <=> v1(constB13))) | (~v104(constB14))),
% 14.00/9.25 inference(unit_resolution,[status(thm)],[4372, 4371])).
% 14.00/9.25 tff(4374,plain,
% 14.00/9.25 (~v104(constB14)),
% 14.00/9.25 inference(unit_resolution,[status(thm)],[4373, 4368])).
% 14.00/9.25 tff(4375,plain,
% 14.00/9.25 ((~((~v102(constB14)) <=> v104(constB14))) | v102(constB14) | v104(constB14)),
% 14.00/9.25 inference(tautology,[status(thm)],[])).
% 14.00/9.25 tff(4376,plain,
% 14.00/9.25 (v102(constB14)),
% 14.00/9.25 inference(unit_resolution,[status(thm)],[4375, 4374, 4364])).
% 14.00/9.25 tff(4377,plain,
% 14.00/9.25 (v1(constB14) <=> v1(constB14)),
% 14.00/9.25 inference(rewrite,[status(thm)],[])).
% 14.00/9.25 tff(4378,axiom,(v1(constB14)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_14')).
% 14.00/9.25 tff(4379,plain,
% 14.00/9.25 (v1(constB14)),
% 14.00/9.25 inference(modus_ponens,[status(thm)],[4378, 4377])).
% 14.00/9.25 tff(4380,plain,
% 14.00/9.25 ((~((~v1(constB14)) | (~v102(constB14)))) | (~v1(constB14)) | (~v102(constB14))),
% 14.00/9.25 inference(tautology,[status(thm)],[])).
% 14.00/9.25 tff(4381,plain,
% 14.00/9.25 ((~((~v1(constB14)) | (~v102(constB14)))) | (~v102(constB14))),
% 14.00/9.25 inference(unit_resolution,[status(thm)],[4380, 4379])).
% 14.00/9.25 tff(4382,plain,
% 14.00/9.25 (~((~v1(constB14)) | (~v102(constB14)))),
% 14.00/9.26 inference(unit_resolution,[status(thm)],[4381, 4376])).
% 14.00/9.26 tff(4383,plain,
% 14.00/9.26 ((~(v101(constB14) <=> (~((~v1(constB14)) | (~v102(constB14)))))) | v101(constB14) | ((~v1(constB14)) | (~v102(constB14)))),
% 14.00/9.26 inference(tautology,[status(thm)],[])).
% 14.00/9.26 tff(4384,plain,
% 14.00/9.26 (v101(constB14)),
% 14.00/9.26 inference(unit_resolution,[status(thm)],[4383, 4382, 4360])).
% 14.00/9.26 tff(4385,plain,
% 14.00/9.26 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | ((~nextState(constB13, constB14)) | (v110(constB14) <=> v108(constB13)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | (~nextState(constB13, constB14)) | (v110(constB14) <=> v108(constB13)))),
% 14.00/9.26 inference(rewrite,[status(thm)],[])).
% 14.00/9.26 tff(4386,plain,
% 14.00/9.26 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | ((~nextState(constB13, constB14)) | (v110(constB14) <=> v108(constB13)))),
% 14.00/9.26 inference(quant_inst,[status(thm)],[])).
% 14.00/9.26 tff(4387,plain,
% 14.00/9.26 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | (~nextState(constB13, constB14)) | (v110(constB14) <=> v108(constB13))),
% 14.00/9.26 inference(modus_ponens,[status(thm)],[4386, 4385])).
% 14.00/9.26 tff(4388,plain,
% 14.00/9.26 (v110(constB14) <=> v108(constB13)),
% 14.00/9.26 inference(unit_resolution,[status(thm)],[4387, 4349, 556])).
% 14.00/9.26 tff(4389,plain,
% 14.00/9.26 ((~![VarCurr: $i] : (v108(VarCurr) <=> (v111(VarCurr) | v112(VarCurr)))) | (v108(constB13) <=> (v111(constB13) | v112(constB13)))),
% 14.00/9.26 inference(quant_inst,[status(thm)],[])).
% 14.00/9.26 tff(4390,plain,
% 14.00/9.26 (v108(constB13) <=> (v111(constB13) | v112(constB13))),
% 14.00/9.26 inference(unit_resolution,[status(thm)],[4389, 567])).
% 14.00/9.26 tff(4391,plain,
% 14.00/9.26 ((~![VarCurr: $i] : (v112(VarCurr) <=> (~((~v113(VarCurr)) | (~v126(VarCurr)))))) | (v112(constB13) <=> (~((~v113(constB13)) | (~v126(constB13)))))),
% 14.00/9.26 inference(quant_inst,[status(thm)],[])).
% 14.00/9.26 tff(4392,plain,
% 14.00/9.26 (v112(constB13) <=> (~((~v113(constB13)) | (~v126(constB13))))),
% 14.00/9.26 inference(unit_resolution,[status(thm)],[4391, 579])).
% 14.00/9.26 tff(4393,plain,
% 14.00/9.26 ((~![VarCurr: $i] : (v113(VarCurr) <=> (v114(VarCurr) | v125(VarCurr)))) | (v113(constB13) <=> (v114(constB13) | v125(constB13)))),
% 14.00/9.26 inference(quant_inst,[status(thm)],[])).
% 14.00/9.26 tff(4394,plain,
% 14.00/9.26 (v113(constB13) <=> (v114(constB13) | v125(constB13))),
% 14.00/9.26 inference(unit_resolution,[status(thm)],[4393, 588])).
% 14.00/9.26 tff(4395,plain,
% 14.00/9.26 ((~![VarCurr: $i] : (v114(VarCurr) <=> (v115(VarCurr) | v124(VarCurr)))) | (v114(constB13) <=> (v115(constB13) | v124(constB13)))),
% 14.00/9.26 inference(quant_inst,[status(thm)],[])).
% 14.00/9.26 tff(4396,plain,
% 14.00/9.26 (v114(constB13) <=> (v115(constB13) | v124(constB13))),
% 14.00/9.26 inference(unit_resolution,[status(thm)],[4395, 597])).
% 14.00/9.26 tff(4397,plain,
% 14.00/9.26 ((~![VarCurr: $i] : (v115(VarCurr) <=> (v116(VarCurr) | v123(VarCurr)))) | (v115(constB13) <=> (v116(constB13) | v123(constB13)))),
% 14.00/9.26 inference(quant_inst,[status(thm)],[])).
% 14.00/9.26 tff(4398,plain,
% 14.00/9.26 (v115(constB13) <=> (v116(constB13) | v123(constB13))),
% 14.00/9.26 inference(unit_resolution,[status(thm)],[4397, 606])).
% 14.00/9.26 tff(4399,plain,
% 14.00/9.26 (((~![VarCurr: $i] : (v123(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)))))) | (v123(constB13) <=> (~((~v90(constB13, bitIndex2)) | v90(constB13, bitIndex1) | v90(constB13, bitIndex0))))) <=> ((~![VarCurr: $i] : (v123(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)))))) | (v123(constB13) <=> (~((~v90(constB13, bitIndex2)) | v90(constB13, bitIndex1) | v90(constB13, bitIndex0)))))),
% 14.00/9.26 inference(rewrite,[status(thm)],[])).
% 14.00/9.26 tff(4400,plain,
% 14.00/9.26 ((v123(constB13) <=> (~(v90(constB13, bitIndex0) | v90(constB13, bitIndex1) | (~v90(constB13, bitIndex2))))) <=> (v123(constB13) <=> (~((~v90(constB13, bitIndex2)) | v90(constB13, bitIndex1) | v90(constB13, bitIndex0))))),
% 14.00/9.26 inference(rewrite,[status(thm)],[])).
% 14.00/9.26 tff(4401,plain,
% 14.00/9.26 (((~![VarCurr: $i] : (v123(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)))))) | (v123(constB13) <=> (~(v90(constB13, bitIndex0) | v90(constB13, bitIndex1) | (~v90(constB13, bitIndex2)))))) <=> ((~![VarCurr: $i] : (v123(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)))))) | (v123(constB13) <=> (~((~v90(constB13, bitIndex2)) | v90(constB13, bitIndex1) | v90(constB13, bitIndex0)))))),
% 14.00/9.26 inference(monotonicity,[status(thm)],[4400])).
% 14.00/9.26 tff(4402,plain,
% 14.00/9.26 (((~![VarCurr: $i] : (v123(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)))))) | (v123(constB13) <=> (~(v90(constB13, bitIndex0) | v90(constB13, bitIndex1) | (~v90(constB13, bitIndex2)))))) <=> ((~![VarCurr: $i] : (v123(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)))))) | (v123(constB13) <=> (~((~v90(constB13, bitIndex2)) | v90(constB13, bitIndex1) | v90(constB13, bitIndex0)))))),
% 14.00/9.26 inference(transitivity,[status(thm)],[4401, 4399])).
% 14.00/9.26 tff(4403,plain,
% 14.00/9.26 ((~![VarCurr: $i] : (v123(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)))))) | (v123(constB13) <=> (~(v90(constB13, bitIndex0) | v90(constB13, bitIndex1) | (~v90(constB13, bitIndex2)))))),
% 14.00/9.26 inference(quant_inst,[status(thm)],[])).
% 14.00/9.26 tff(4404,plain,
% 14.00/9.26 ((~![VarCurr: $i] : (v123(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)))))) | (v123(constB13) <=> (~((~v90(constB13, bitIndex2)) | v90(constB13, bitIndex1) | v90(constB13, bitIndex0))))),
% 14.00/9.26 inference(modus_ponens,[status(thm)],[4403, 4402])).
% 14.00/9.26 tff(4405,plain,
% 14.00/9.26 (v123(constB13) <=> (~((~v90(constB13, bitIndex2)) | v90(constB13, bitIndex1) | v90(constB13, bitIndex0)))),
% 14.00/9.26 inference(unit_resolution,[status(thm)],[4404, 621])).
% 14.00/9.26 tff(4406,plain,
% 14.00/9.26 (nextState(constB12, constB13) <=> nextState(constB12, constB13)),
% 14.00/9.26 inference(rewrite,[status(thm)],[])).
% 14.00/9.26 tff(4407,axiom,(nextState(constB12, constB13)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_12')).
% 14.00/9.26 tff(4408,plain,
% 14.00/9.26 (nextState(constB12, constB13)),
% 14.00/9.26 inference(modus_ponens,[status(thm)],[4407, 4406])).
% 14.00/9.26 tff(4409,plain,
% 14.00/9.26 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB12, constB13)) | (v100(constB13) <=> (~((~v101(constB13)) | (~v110(constB13))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB12, constB13)) | (v100(constB13) <=> (~((~v101(constB13)) | (~v110(constB13))))))),
% 14.00/9.26 inference(rewrite,[status(thm)],[])).
% 14.00/9.26 tff(4410,plain,
% 14.00/9.26 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB12, constB13)) | (v100(constB13) <=> (~((~v101(constB13)) | (~v110(constB13))))))),
% 14.00/9.26 inference(quant_inst,[status(thm)],[])).
% 14.00/9.26 tff(4411,plain,
% 14.00/9.26 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB12, constB13)) | (v100(constB13) <=> (~((~v101(constB13)) | (~v110(constB13)))))),
% 14.00/9.26 inference(modus_ponens,[status(thm)],[4410, 4409])).
% 14.00/9.26 tff(4412,plain,
% 14.00/9.26 (v100(constB13) <=> (~((~v101(constB13)) | (~v110(constB13))))),
% 14.00/9.26 inference(unit_resolution,[status(thm)],[4411, 4408, 430])).
% 14.00/9.26 tff(4413,plain,
% 14.00/9.26 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB12, constB13)) | (v101(constB13) <=> (~((~v1(constB13)) | (~v102(constB13))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB12, constB13)) | (v101(constB13) <=> (~((~v1(constB13)) | (~v102(constB13))))))),
% 14.00/9.26 inference(rewrite,[status(thm)],[])).
% 14.00/9.26 tff(4414,plain,
% 14.00/9.26 (((~nextState(constB12, constB13)) | (v101(constB13) <=> (~((~v102(constB13)) | (~v1(constB13)))))) <=> ((~nextState(constB12, constB13)) | (v101(constB13) <=> (~((~v1(constB13)) | (~v102(constB13))))))),
% 14.00/9.26 inference(rewrite,[status(thm)],[])).
% 14.00/9.26 tff(4415,plain,
% 14.00/9.26 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB12, constB13)) | (v101(constB13) <=> (~((~v102(constB13)) | (~v1(constB13))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB12, constB13)) | (v101(constB13) <=> (~((~v1(constB13)) | (~v102(constB13)))))))),
% 14.00/9.26 inference(monotonicity,[status(thm)],[4414])).
% 14.00/9.26 tff(4416,plain,
% 14.00/9.26 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB12, constB13)) | (v101(constB13) <=> (~((~v102(constB13)) | (~v1(constB13))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB12, constB13)) | (v101(constB13) <=> (~((~v1(constB13)) | (~v102(constB13))))))),
% 14.00/9.26 inference(transitivity,[status(thm)],[4415, 4413])).
% 14.00/9.26 tff(4417,plain,
% 14.00/9.26 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB12, constB13)) | (v101(constB13) <=> (~((~v102(constB13)) | (~v1(constB13))))))),
% 14.00/9.26 inference(quant_inst,[status(thm)],[])).
% 14.00/9.26 tff(4418,plain,
% 14.00/9.26 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB12, constB13)) | (v101(constB13) <=> (~((~v1(constB13)) | (~v102(constB13)))))),
% 14.00/9.26 inference(modus_ponens,[status(thm)],[4417, 4416])).
% 14.00/9.26 tff(4419,plain,
% 14.00/9.26 (v101(constB13) <=> (~((~v1(constB13)) | (~v102(constB13))))),
% 14.00/9.26 inference(unit_resolution,[status(thm)],[4418, 4408, 450])).
% 14.00/9.26 tff(4420,plain,
% 14.00/9.26 (((~v1(constB13)) | (~v102(constB13))) | v1(constB13)),
% 14.00/9.26 inference(tautology,[status(thm)],[])).
% 14.00/9.26 tff(4421,plain,
% 14.00/9.26 ((~v1(constB13)) | (~v102(constB13))),
% 14.00/9.26 inference(unit_resolution,[status(thm)],[4420, 4371])).
% 14.00/9.26 tff(4422,plain,
% 14.00/9.26 ((~(v101(constB13) <=> (~((~v1(constB13)) | (~v102(constB13)))))) | (~v101(constB13)) | (~((~v1(constB13)) | (~v102(constB13))))),
% 14.00/9.26 inference(tautology,[status(thm)],[])).
% 14.00/9.26 tff(4423,plain,
% 14.00/9.26 ((~(v101(constB13) <=> (~((~v1(constB13)) | (~v102(constB13)))))) | (~v101(constB13))),
% 14.00/9.26 inference(unit_resolution,[status(thm)],[4422, 4421])).
% 14.00/9.26 tff(4424,plain,
% 14.00/9.26 (~v101(constB13)),
% 14.00/9.26 inference(unit_resolution,[status(thm)],[4423, 4419])).
% 14.00/9.26 tff(4425,plain,
% 14.00/9.26 (((~v101(constB13)) | (~v110(constB13))) | v101(constB13)),
% 14.00/9.26 inference(tautology,[status(thm)],[])).
% 14.00/9.26 tff(4426,plain,
% 14.00/9.26 ((~v101(constB13)) | (~v110(constB13))),
% 14.00/9.26 inference(unit_resolution,[status(thm)],[4425, 4424])).
% 14.00/9.26 tff(4427,plain,
% 14.00/9.26 ((~(v100(constB13) <=> (~((~v101(constB13)) | (~v110(constB13)))))) | (~v100(constB13)) | (~((~v101(constB13)) | (~v110(constB13))))),
% 14.00/9.26 inference(tautology,[status(thm)],[])).
% 14.00/9.26 tff(4428,plain,
% 14.00/9.26 (~v100(constB13)),
% 14.00/9.26 inference(unit_resolution,[status(thm)],[4427, 4426, 4412])).
% 14.00/9.26 tff(4429,plain,
% 14.00/9.26 (((~![VarCurr: $i, VarNext: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v90(VarCurr, B))))) | (v100(constB13) | (~nextState(constB12, constB13)) | ![B: $i] : ((~less_3(B)) | (v90(constB13, B) <=> v90(constB12, B))))) <=> ((~![VarCurr: $i, VarNext: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v90(VarCurr, B))))) | v100(constB13) | (~nextState(constB12, constB13)) | ![B: $i] : ((~less_3(B)) | (v90(constB13, B) <=> v90(constB12, B))))),
% 14.00/9.26 inference(rewrite,[status(thm)],[])).
% 14.00/9.26 tff(4430,plain,
% 14.00/9.26 ((~![VarCurr: $i, VarNext: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v90(VarCurr, B))))) | (v100(constB13) | (~nextState(constB12, constB13)) | ![B: $i] : ((~less_3(B)) | (v90(constB13, B) <=> v90(constB12, B))))),
% 14.00/9.26 inference(quant_inst,[status(thm)],[])).
% 14.00/9.26 tff(4431,plain,
% 14.00/9.26 ((~![VarCurr: $i, VarNext: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v90(VarCurr, B))))) | v100(constB13) | (~nextState(constB12, constB13)) | ![B: $i] : ((~less_3(B)) | (v90(constB13, B) <=> v90(constB12, B)))),
% 14.00/9.26 inference(modus_ponens,[status(thm)],[4430, 4429])).
% 14.00/9.26 tff(4432,plain,
% 14.00/9.26 (v100(constB13) | ![B: $i] : ((~less_3(B)) | (v90(constB13, B) <=> v90(constB12, B)))),
% 14.00/9.26 inference(unit_resolution,[status(thm)],[4431, 4408, 479])).
% 14.00/9.26 tff(4433,plain,
% 14.00/9.26 (![B: $i] : ((~less_3(B)) | (v90(constB13, B) <=> v90(constB12, B)))),
% 14.00/9.26 inference(unit_resolution,[status(thm)],[4432, 4428])).
% 14.00/9.26 tff(4434,plain,
% 14.00/9.26 (((~![B: $i] : ((~less_3(B)) | (v90(constB13, B) <=> v90(constB12, B)))) | ((~less_3(bitIndex2)) | (v90(constB13, bitIndex2) <=> v90(constB12, bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v90(constB13, B) <=> v90(constB12, B)))) | (~less_3(bitIndex2)) | (v90(constB13, bitIndex2) <=> v90(constB12, bitIndex2)))),
% 14.00/9.26 inference(rewrite,[status(thm)],[])).
% 14.00/9.26 tff(4435,plain,
% 14.00/9.26 ((~![B: $i] : ((~less_3(B)) | (v90(constB13, B) <=> v90(constB12, B)))) | ((~less_3(bitIndex2)) | (v90(constB13, bitIndex2) <=> v90(constB12, bitIndex2)))),
% 14.00/9.26 inference(quant_inst,[status(thm)],[])).
% 14.00/9.26 tff(4436,plain,
% 14.00/9.26 ((~![B: $i] : ((~less_3(B)) | (v90(constB13, B) <=> v90(constB12, B)))) | (~less_3(bitIndex2)) | (v90(constB13, bitIndex2) <=> v90(constB12, bitIndex2))),
% 14.00/9.26 inference(modus_ponens,[status(thm)],[4435, 4434])).
% 14.00/9.26 tff(4437,plain,
% 14.00/9.26 (v90(constB13, bitIndex2) <=> v90(constB12, bitIndex2)),
% 14.00/9.26 inference(unit_resolution,[status(thm)],[4436, 413, 4433])).
% 14.00/9.26 tff(4438,plain,
% 14.00/9.26 (nextState(constB11, constB12) <=> nextState(constB11, constB12)),
% 14.00/9.26 inference(rewrite,[status(thm)],[])).
% 14.00/9.26 tff(4439,axiom,(nextState(constB11, constB12)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_11')).
% 14.00/9.26 tff(4440,plain,
% 14.00/9.26 (nextState(constB11, constB12)),
% 14.00/9.26 inference(modus_ponens,[status(thm)],[4439, 4438])).
% 14.00/9.26 tff(4441,plain,
% 14.00/9.26 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB11, constB12)) | (v100(constB12) <=> (~((~v101(constB12)) | (~v110(constB12))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB11, constB12)) | (v100(constB12) <=> (~((~v101(constB12)) | (~v110(constB12))))))),
% 14.00/9.26 inference(rewrite,[status(thm)],[])).
% 14.00/9.26 tff(4442,plain,
% 14.00/9.26 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB11, constB12)) | (v100(constB12) <=> (~((~v101(constB12)) | (~v110(constB12))))))),
% 14.00/9.26 inference(quant_inst,[status(thm)],[])).
% 14.00/9.26 tff(4443,plain,
% 14.00/9.26 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB11, constB12)) | (v100(constB12) <=> (~((~v101(constB12)) | (~v110(constB12)))))),
% 14.00/9.26 inference(modus_ponens,[status(thm)],[4442, 4441])).
% 14.00/9.26 tff(4444,plain,
% 14.00/9.26 (v100(constB12) <=> (~((~v101(constB12)) | (~v110(constB12))))),
% 14.00/9.26 inference(unit_resolution,[status(thm)],[4443, 4440, 430])).
% 14.00/9.26 tff(4445,plain,
% 14.00/9.26 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB11, constB12)) | (v101(constB12) <=> (~((~v1(constB12)) | (~v102(constB12))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB11, constB12)) | (v101(constB12) <=> (~((~v1(constB12)) | (~v102(constB12))))))),
% 14.00/9.26 inference(rewrite,[status(thm)],[])).
% 14.00/9.26 tff(4446,plain,
% 14.00/9.26 (((~nextState(constB11, constB12)) | (v101(constB12) <=> (~((~v102(constB12)) | (~v1(constB12)))))) <=> ((~nextState(constB11, constB12)) | (v101(constB12) <=> (~((~v1(constB12)) | (~v102(constB12))))))),
% 14.00/9.26 inference(rewrite,[status(thm)],[])).
% 14.00/9.26 tff(4447,plain,
% 14.00/9.26 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB11, constB12)) | (v101(constB12) <=> (~((~v102(constB12)) | (~v1(constB12))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB11, constB12)) | (v101(constB12) <=> (~((~v1(constB12)) | (~v102(constB12)))))))),
% 14.00/9.26 inference(monotonicity,[status(thm)],[4446])).
% 14.00/9.26 tff(4448,plain,
% 14.00/9.26 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB11, constB12)) | (v101(constB12) <=> (~((~v102(constB12)) | (~v1(constB12))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB11, constB12)) | (v101(constB12) <=> (~((~v1(constB12)) | (~v102(constB12))))))),
% 14.00/9.26 inference(transitivity,[status(thm)],[4447, 4445])).
% 14.00/9.26 tff(4449,plain,
% 14.00/9.26 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB11, constB12)) | (v101(constB12) <=> (~((~v102(constB12)) | (~v1(constB12))))))),
% 14.00/9.26 inference(quant_inst,[status(thm)],[])).
% 14.00/9.26 tff(4450,plain,
% 14.00/9.26 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB11, constB12)) | (v101(constB12) <=> (~((~v1(constB12)) | (~v102(constB12)))))),
% 14.00/9.26 inference(modus_ponens,[status(thm)],[4449, 4448])).
% 14.00/9.26 tff(4451,plain,
% 14.00/9.26 (v101(constB12) <=> (~((~v1(constB12)) | (~v102(constB12))))),
% 14.00/9.26 inference(unit_resolution,[status(thm)],[4450, 4440, 450])).
% 14.00/9.26 tff(4452,plain,
% 14.00/9.26 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | ((~nextState(constB11, constB12)) | ((~v102(constB12)) <=> v104(constB12)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | (~nextState(constB11, constB12)) | ((~v102(constB12)) <=> v104(constB12)))),
% 14.00/9.26 inference(rewrite,[status(thm)],[])).
% 14.00/9.26 tff(4453,plain,
% 14.00/9.26 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | ((~nextState(constB11, constB12)) | ((~v102(constB12)) <=> v104(constB12)))),
% 14.00/9.26 inference(quant_inst,[status(thm)],[])).
% 14.00/9.26 tff(4454,plain,
% 14.00/9.26 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | (~nextState(constB11, constB12)) | ((~v102(constB12)) <=> v104(constB12))),
% 14.00/9.26 inference(modus_ponens,[status(thm)],[4453, 4452])).
% 14.00/9.26 tff(4455,plain,
% 14.00/9.26 ((~v102(constB12)) <=> v104(constB12)),
% 14.00/9.26 inference(unit_resolution,[status(thm)],[4454, 4440, 512])).
% 14.00/9.26 tff(4456,plain,
% 14.00/9.26 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB11, constB12)) | (v104(constB12) <=> v1(constB11)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | (~nextState(constB11, constB12)) | (v104(constB12) <=> v1(constB11)))),
% 14.00/9.26 inference(rewrite,[status(thm)],[])).
% 14.00/9.26 tff(4457,plain,
% 14.00/9.26 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB11, constB12)) | (v104(constB12) <=> v1(constB11)))),
% 14.00/9.26 inference(quant_inst,[status(thm)],[])).
% 14.00/9.26 tff(4458,plain,
% 14.00/9.26 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | (~nextState(constB11, constB12)) | (v104(constB12) <=> v1(constB11))),
% 14.00/9.26 inference(modus_ponens,[status(thm)],[4457, 4456])).
% 14.00/9.26 tff(4459,plain,
% 14.00/9.26 (v104(constB12) <=> v1(constB11)),
% 14.00/9.26 inference(unit_resolution,[status(thm)],[4458, 4440, 526])).
% 14.00/9.26 tff(4460,plain,
% 14.00/9.26 ((~v1(constB11)) <=> (~v1(constB11))),
% 14.00/9.26 inference(rewrite,[status(thm)],[])).
% 14.00/9.26 tff(4461,axiom,(~v1(constB11)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_11')).
% 14.00/9.26 tff(4462,plain,
% 14.00/9.26 (~v1(constB11)),
% 14.00/9.26 inference(modus_ponens,[status(thm)],[4461, 4460])).
% 14.00/9.26 tff(4463,plain,
% 14.00/9.26 ((~(v104(constB12) <=> v1(constB11))) | (~v104(constB12)) | v1(constB11)),
% 14.00/9.26 inference(tautology,[status(thm)],[])).
% 14.00/9.26 tff(4464,plain,
% 14.00/9.26 ((~(v104(constB12) <=> v1(constB11))) | (~v104(constB12))),
% 14.00/9.26 inference(unit_resolution,[status(thm)],[4463, 4462])).
% 14.00/9.26 tff(4465,plain,
% 14.00/9.26 (~v104(constB12)),
% 14.00/9.26 inference(unit_resolution,[status(thm)],[4464, 4459])).
% 14.00/9.26 tff(4466,plain,
% 14.00/9.26 ((~((~v102(constB12)) <=> v104(constB12))) | v102(constB12) | v104(constB12)),
% 14.00/9.26 inference(tautology,[status(thm)],[])).
% 14.00/9.26 tff(4467,plain,
% 14.00/9.26 (v102(constB12)),
% 14.00/9.26 inference(unit_resolution,[status(thm)],[4466, 4465, 4455])).
% 14.00/9.26 tff(4468,plain,
% 14.00/9.26 (v1(constB12) <=> v1(constB12)),
% 14.00/9.26 inference(rewrite,[status(thm)],[])).
% 14.00/9.26 tff(4469,axiom,(v1(constB12)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_12')).
% 14.00/9.26 tff(4470,plain,
% 14.00/9.26 (v1(constB12)),
% 14.00/9.26 inference(modus_ponens,[status(thm)],[4469, 4468])).
% 14.00/9.26 tff(4471,plain,
% 14.00/9.26 ((~((~v1(constB12)) | (~v102(constB12)))) | (~v1(constB12)) | (~v102(constB12))),
% 14.00/9.26 inference(tautology,[status(thm)],[])).
% 14.00/9.26 tff(4472,plain,
% 14.00/9.26 ((~((~v1(constB12)) | (~v102(constB12)))) | (~v102(constB12))),
% 14.00/9.26 inference(unit_resolution,[status(thm)],[4471, 4470])).
% 14.00/9.26 tff(4473,plain,
% 14.00/9.26 (~((~v1(constB12)) | (~v102(constB12)))),
% 14.00/9.26 inference(unit_resolution,[status(thm)],[4472, 4467])).
% 14.00/9.26 tff(4474,plain,
% 14.00/9.26 ((~(v101(constB12) <=> (~((~v1(constB12)) | (~v102(constB12)))))) | v101(constB12) | ((~v1(constB12)) | (~v102(constB12)))),
% 14.00/9.26 inference(tautology,[status(thm)],[])).
% 14.00/9.26 tff(4475,plain,
% 14.00/9.26 (v101(constB12)),
% 14.00/9.26 inference(unit_resolution,[status(thm)],[4474, 4473, 4451])).
% 14.00/9.26 tff(4476,plain,
% 14.00/9.26 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | ((~nextState(constB11, constB12)) | (v110(constB12) <=> v108(constB11)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | (~nextState(constB11, constB12)) | (v110(constB12) <=> v108(constB11)))),
% 14.00/9.26 inference(rewrite,[status(thm)],[])).
% 14.00/9.26 tff(4477,plain,
% 14.00/9.26 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | ((~nextState(constB11, constB12)) | (v110(constB12) <=> v108(constB11)))),
% 14.00/9.26 inference(quant_inst,[status(thm)],[])).
% 14.00/9.26 tff(4478,plain,
% 14.00/9.26 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | (~nextState(constB11, constB12)) | (v110(constB12) <=> v108(constB11))),
% 14.00/9.26 inference(modus_ponens,[status(thm)],[4477, 4476])).
% 14.00/9.26 tff(4479,plain,
% 14.00/9.26 (v110(constB12) <=> v108(constB11)),
% 14.00/9.26 inference(unit_resolution,[status(thm)],[4478, 4440, 556])).
% 14.00/9.26 tff(4480,plain,
% 14.00/9.26 ((~![VarCurr: $i] : (v108(VarCurr) <=> (v111(VarCurr) | v112(VarCurr)))) | (v108(constB11) <=> (v111(constB11) | v112(constB11)))),
% 14.00/9.26 inference(quant_inst,[status(thm)],[])).
% 14.00/9.26 tff(4481,plain,
% 14.00/9.26 (v108(constB11) <=> (v111(constB11) | v112(constB11))),
% 14.00/9.26 inference(unit_resolution,[status(thm)],[4480, 567])).
% 14.00/9.26 tff(4482,plain,
% 14.00/9.26 ((~![VarCurr: $i] : (v112(VarCurr) <=> (~((~v113(VarCurr)) | (~v126(VarCurr)))))) | (v112(constB11) <=> (~((~v113(constB11)) | (~v126(constB11)))))),
% 14.00/9.26 inference(quant_inst,[status(thm)],[])).
% 14.00/9.26 tff(4483,plain,
% 14.00/9.26 (v112(constB11) <=> (~((~v113(constB11)) | (~v126(constB11))))),
% 14.00/9.26 inference(unit_resolution,[status(thm)],[4482, 579])).
% 14.00/9.26 tff(4484,plain,
% 14.00/9.26 ((~![VarCurr: $i] : (v113(VarCurr) <=> (v114(VarCurr) | v125(VarCurr)))) | (v113(constB11) <=> (v114(constB11) | v125(constB11)))),
% 14.00/9.26 inference(quant_inst,[status(thm)],[])).
% 14.00/9.26 tff(4485,plain,
% 14.00/9.26 (v113(constB11) <=> (v114(constB11) | v125(constB11))),
% 14.00/9.26 inference(unit_resolution,[status(thm)],[4484, 588])).
% 14.00/9.26 tff(4486,plain,
% 14.00/9.26 ((~![VarCurr: $i] : (v114(VarCurr) <=> (v115(VarCurr) | v124(VarCurr)))) | (v114(constB11) <=> (v115(constB11) | v124(constB11)))),
% 14.00/9.26 inference(quant_inst,[status(thm)],[])).
% 14.00/9.26 tff(4487,plain,
% 14.00/9.26 (v114(constB11) <=> (v115(constB11) | v124(constB11))),
% 14.00/9.26 inference(unit_resolution,[status(thm)],[4486, 597])).
% 14.00/9.26 tff(4488,plain,
% 14.00/9.26 ((~![VarCurr: $i] : (v115(VarCurr) <=> (v116(VarCurr) | v123(VarCurr)))) | (v115(constB11) <=> (v116(constB11) | v123(constB11)))),
% 14.00/9.26 inference(quant_inst,[status(thm)],[])).
% 14.00/9.26 tff(4489,plain,
% 14.00/9.26 (v115(constB11) <=> (v116(constB11) | v123(constB11))),
% 14.00/9.26 inference(unit_resolution,[status(thm)],[4488, 606])).
% 14.00/9.26 tff(4490,plain,
% 14.00/9.26 ((~![VarCurr: $i] : (v116(VarCurr) <=> (v117(VarCurr) | v122(VarCurr)))) | (v116(constB11) <=> (v117(constB11) | v122(constB11)))),
% 14.00/9.26 inference(quant_inst,[status(thm)],[])).
% 14.00/9.26 tff(4491,plain,
% 14.00/9.26 (v116(constB11) <=> (v117(constB11) | v122(constB11))),
% 14.00/9.26 inference(unit_resolution,[status(thm)],[4490, 719])).
% 14.00/9.26 tff(4492,plain,
% 14.00/9.26 (((~![VarCurr: $i] : (v122(VarCurr) <=> (~(v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)))))) | (v122(constB11) <=> (~(v90(constB11, bitIndex2) | (~v90(constB11, bitIndex1)) | (~v90(constB11, bitIndex0)))))) <=> ((~![VarCurr: $i] : (v122(VarCurr) <=> (~(v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)))))) | (v122(constB11) <=> (~(v90(constB11, bitIndex2) | (~v90(constB11, bitIndex1)) | (~v90(constB11, bitIndex0))))))),
% 14.00/9.26 inference(rewrite,[status(thm)],[])).
% 14.00/9.26 tff(4493,plain,
% 14.00/9.26 ((v122(constB11) <=> (~(v90(constB11, bitIndex2) | (~v90(constB11, bitIndex0)) | (~v90(constB11, bitIndex1))))) <=> (v122(constB11) <=> (~(v90(constB11, bitIndex2) | (~v90(constB11, bitIndex1)) | (~v90(constB11, bitIndex0)))))),
% 14.00/9.26 inference(rewrite,[status(thm)],[])).
% 14.00/9.26 tff(4494,plain,
% 14.00/9.26 (((~![VarCurr: $i] : (v122(VarCurr) <=> (~(v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)))))) | (v122(constB11) <=> (~(v90(constB11, bitIndex2) | (~v90(constB11, bitIndex0)) | (~v90(constB11, bitIndex1)))))) <=> ((~![VarCurr: $i] : (v122(VarCurr) <=> (~(v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)))))) | (v122(constB11) <=> (~(v90(constB11, bitIndex2) | (~v90(constB11, bitIndex1)) | (~v90(constB11, bitIndex0))))))),
% 14.00/9.26 inference(monotonicity,[status(thm)],[4493])).
% 14.00/9.26 tff(4495,plain,
% 14.00/9.26 (((~![VarCurr: $i] : (v122(VarCurr) <=> (~(v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)))))) | (v122(constB11) <=> (~(v90(constB11, bitIndex2) | (~v90(constB11, bitIndex0)) | (~v90(constB11, bitIndex1)))))) <=> ((~![VarCurr: $i] : (v122(VarCurr) <=> (~(v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)))))) | (v122(constB11) <=> (~(v90(constB11, bitIndex2) | (~v90(constB11, bitIndex1)) | (~v90(constB11, bitIndex0))))))),
% 14.00/9.26 inference(transitivity,[status(thm)],[4494, 4492])).
% 14.00/9.26 tff(4496,plain,
% 14.00/9.26 ((~![VarCurr: $i] : (v122(VarCurr) <=> (~(v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)))))) | (v122(constB11) <=> (~(v90(constB11, bitIndex2) | (~v90(constB11, bitIndex0)) | (~v90(constB11, bitIndex1)))))),
% 14.00/9.26 inference(quant_inst,[status(thm)],[])).
% 14.00/9.26 tff(4497,plain,
% 14.00/9.26 ((~![VarCurr: $i] : (v122(VarCurr) <=> (~(v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)))))) | (v122(constB11) <=> (~(v90(constB11, bitIndex2) | (~v90(constB11, bitIndex1)) | (~v90(constB11, bitIndex0)))))),
% 14.00/9.26 inference(modus_ponens,[status(thm)],[4496, 4495])).
% 14.00/9.26 tff(4498,plain,
% 14.00/9.26 (v122(constB11) <=> (~(v90(constB11, bitIndex2) | (~v90(constB11, bitIndex1)) | (~v90(constB11, bitIndex0))))),
% 14.00/9.26 inference(unit_resolution,[status(thm)],[4497, 734])).
% 14.00/9.26 tff(4499,plain,
% 14.00/9.26 (nextState(constB10, constB11) <=> nextState(constB10, constB11)),
% 14.00/9.26 inference(rewrite,[status(thm)],[])).
% 14.00/9.26 tff(4500,axiom,(nextState(constB10, constB11)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_10')).
% 14.00/9.26 tff(4501,plain,
% 14.00/9.26 (nextState(constB10, constB11)),
% 14.00/9.26 inference(modus_ponens,[status(thm)],[4500, 4499])).
% 14.00/9.26 tff(4502,plain,
% 14.00/9.26 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB10, constB11)) | (v100(constB11) <=> (~((~v101(constB11)) | (~v110(constB11))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB10, constB11)) | (v100(constB11) <=> (~((~v101(constB11)) | (~v110(constB11))))))),
% 14.00/9.26 inference(rewrite,[status(thm)],[])).
% 14.00/9.26 tff(4503,plain,
% 14.00/9.26 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB10, constB11)) | (v100(constB11) <=> (~((~v101(constB11)) | (~v110(constB11))))))),
% 14.00/9.26 inference(quant_inst,[status(thm)],[])).
% 14.00/9.26 tff(4504,plain,
% 14.00/9.26 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB10, constB11)) | (v100(constB11) <=> (~((~v101(constB11)) | (~v110(constB11)))))),
% 14.00/9.26 inference(modus_ponens,[status(thm)],[4503, 4502])).
% 14.00/9.26 tff(4505,plain,
% 14.00/9.26 (v100(constB11) <=> (~((~v101(constB11)) | (~v110(constB11))))),
% 14.00/9.26 inference(unit_resolution,[status(thm)],[4504, 4501, 430])).
% 14.00/9.26 tff(4506,plain,
% 14.00/9.26 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB10, constB11)) | (v101(constB11) <=> (~((~v1(constB11)) | (~v102(constB11))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB10, constB11)) | (v101(constB11) <=> (~((~v1(constB11)) | (~v102(constB11))))))),
% 14.00/9.26 inference(rewrite,[status(thm)],[])).
% 14.00/9.26 tff(4507,plain,
% 14.00/9.26 (((~nextState(constB10, constB11)) | (v101(constB11) <=> (~((~v102(constB11)) | (~v1(constB11)))))) <=> ((~nextState(constB10, constB11)) | (v101(constB11) <=> (~((~v1(constB11)) | (~v102(constB11))))))),
% 14.00/9.26 inference(rewrite,[status(thm)],[])).
% 14.00/9.26 tff(4508,plain,
% 14.00/9.26 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB10, constB11)) | (v101(constB11) <=> (~((~v102(constB11)) | (~v1(constB11))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB10, constB11)) | (v101(constB11) <=> (~((~v1(constB11)) | (~v102(constB11)))))))),
% 14.00/9.26 inference(monotonicity,[status(thm)],[4507])).
% 14.00/9.26 tff(4509,plain,
% 14.00/9.26 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB10, constB11)) | (v101(constB11) <=> (~((~v102(constB11)) | (~v1(constB11))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB10, constB11)) | (v101(constB11) <=> (~((~v1(constB11)) | (~v102(constB11))))))),
% 14.00/9.26 inference(transitivity,[status(thm)],[4508, 4506])).
% 14.00/9.26 tff(4510,plain,
% 14.00/9.26 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB10, constB11)) | (v101(constB11) <=> (~((~v102(constB11)) | (~v1(constB11))))))),
% 14.00/9.26 inference(quant_inst,[status(thm)],[])).
% 14.00/9.26 tff(4511,plain,
% 14.00/9.26 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB10, constB11)) | (v101(constB11) <=> (~((~v1(constB11)) | (~v102(constB11)))))),
% 14.00/9.26 inference(modus_ponens,[status(thm)],[4510, 4509])).
% 14.00/9.26 tff(4512,plain,
% 14.00/9.26 (v101(constB11) <=> (~((~v1(constB11)) | (~v102(constB11))))),
% 14.00/9.26 inference(unit_resolution,[status(thm)],[4511, 4501, 450])).
% 14.00/9.26 tff(4513,plain,
% 14.00/9.26 (((~v1(constB11)) | (~v102(constB11))) | v1(constB11)),
% 14.00/9.26 inference(tautology,[status(thm)],[])).
% 14.00/9.26 tff(4514,plain,
% 14.00/9.26 ((~v1(constB11)) | (~v102(constB11))),
% 14.00/9.26 inference(unit_resolution,[status(thm)],[4513, 4462])).
% 14.00/9.26 tff(4515,plain,
% 14.00/9.26 ((~(v101(constB11) <=> (~((~v1(constB11)) | (~v102(constB11)))))) | (~v101(constB11)) | (~((~v1(constB11)) | (~v102(constB11))))),
% 14.00/9.27 inference(tautology,[status(thm)],[])).
% 14.00/9.27 tff(4516,plain,
% 14.00/9.27 ((~(v101(constB11) <=> (~((~v1(constB11)) | (~v102(constB11)))))) | (~v101(constB11))),
% 14.00/9.27 inference(unit_resolution,[status(thm)],[4515, 4514])).
% 14.00/9.27 tff(4517,plain,
% 14.00/9.27 (~v101(constB11)),
% 14.00/9.27 inference(unit_resolution,[status(thm)],[4516, 4512])).
% 14.00/9.27 tff(4518,plain,
% 14.00/9.27 (((~v101(constB11)) | (~v110(constB11))) | v101(constB11)),
% 14.00/9.27 inference(tautology,[status(thm)],[])).
% 14.00/9.27 tff(4519,plain,
% 14.00/9.27 ((~v101(constB11)) | (~v110(constB11))),
% 14.00/9.27 inference(unit_resolution,[status(thm)],[4518, 4517])).
% 14.00/9.27 tff(4520,plain,
% 14.00/9.27 ((~(v100(constB11) <=> (~((~v101(constB11)) | (~v110(constB11)))))) | (~v100(constB11)) | (~((~v101(constB11)) | (~v110(constB11))))),
% 14.00/9.27 inference(tautology,[status(thm)],[])).
% 14.00/9.27 tff(4521,plain,
% 14.00/9.27 (~v100(constB11)),
% 14.00/9.27 inference(unit_resolution,[status(thm)],[4520, 4519, 4505])).
% 14.00/9.27 tff(4522,plain,
% 14.00/9.27 (((~![VarCurr: $i, VarNext: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v90(VarCurr, B))))) | (v100(constB11) | (~nextState(constB10, constB11)) | ![B: $i] : ((~less_3(B)) | (v90(constB11, B) <=> v90(constB10, B))))) <=> ((~![VarCurr: $i, VarNext: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v90(VarCurr, B))))) | v100(constB11) | (~nextState(constB10, constB11)) | ![B: $i] : ((~less_3(B)) | (v90(constB11, B) <=> v90(constB10, B))))),
% 14.00/9.27 inference(rewrite,[status(thm)],[])).
% 14.00/9.27 tff(4523,plain,
% 14.00/9.27 ((~![VarCurr: $i, VarNext: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v90(VarCurr, B))))) | (v100(constB11) | (~nextState(constB10, constB11)) | ![B: $i] : ((~less_3(B)) | (v90(constB11, B) <=> v90(constB10, B))))),
% 14.00/9.27 inference(quant_inst,[status(thm)],[])).
% 14.00/9.27 tff(4524,plain,
% 14.00/9.27 ((~![VarCurr: $i, VarNext: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v90(VarCurr, B))))) | v100(constB11) | (~nextState(constB10, constB11)) | ![B: $i] : ((~less_3(B)) | (v90(constB11, B) <=> v90(constB10, B)))),
% 14.00/9.27 inference(modus_ponens,[status(thm)],[4523, 4522])).
% 14.00/9.27 tff(4525,plain,
% 14.00/9.27 (v100(constB11) | ![B: $i] : ((~less_3(B)) | (v90(constB11, B) <=> v90(constB10, B)))),
% 14.00/9.27 inference(unit_resolution,[status(thm)],[4524, 4501, 479])).
% 14.00/9.27 tff(4526,plain,
% 14.00/9.27 (![B: $i] : ((~less_3(B)) | (v90(constB11, B) <=> v90(constB10, B)))),
% 14.00/9.27 inference(unit_resolution,[status(thm)],[4525, 4521])).
% 14.00/9.27 tff(4527,plain,
% 14.00/9.27 (((~![B: $i] : ((~less_3(B)) | (v90(constB11, B) <=> v90(constB10, B)))) | ((~less_3(bitIndex2)) | (v90(constB11, bitIndex2) <=> v90(constB10, bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v90(constB11, B) <=> v90(constB10, B)))) | (~less_3(bitIndex2)) | (v90(constB11, bitIndex2) <=> v90(constB10, bitIndex2)))),
% 14.00/9.27 inference(rewrite,[status(thm)],[])).
% 14.00/9.27 tff(4528,plain,
% 14.00/9.27 ((~![B: $i] : ((~less_3(B)) | (v90(constB11, B) <=> v90(constB10, B)))) | ((~less_3(bitIndex2)) | (v90(constB11, bitIndex2) <=> v90(constB10, bitIndex2)))),
% 14.00/9.27 inference(quant_inst,[status(thm)],[])).
% 14.00/9.27 tff(4529,plain,
% 14.00/9.27 ((~![B: $i] : ((~less_3(B)) | (v90(constB11, B) <=> v90(constB10, B)))) | (~less_3(bitIndex2)) | (v90(constB11, bitIndex2) <=> v90(constB10, bitIndex2))),
% 14.00/9.27 inference(modus_ponens,[status(thm)],[4528, 4527])).
% 14.00/9.27 tff(4530,plain,
% 14.00/9.27 (v90(constB11, bitIndex2) <=> v90(constB10, bitIndex2)),
% 14.00/9.27 inference(unit_resolution,[status(thm)],[4529, 413, 4526])).
% 14.00/9.27 tff(4531,plain,
% 14.00/9.27 (nextState(constB9, constB10) <=> nextState(constB9, constB10)),
% 14.00/9.27 inference(rewrite,[status(thm)],[])).
% 14.00/9.27 tff(4532,axiom,(nextState(constB9, constB10)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_9')).
% 14.00/9.27 tff(4533,plain,
% 14.00/9.27 (nextState(constB9, constB10)),
% 14.00/9.27 inference(modus_ponens,[status(thm)],[4532, 4531])).
% 14.00/9.27 tff(4534,plain,
% 14.00/9.27 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB9, constB10)) | (v100(constB10) <=> (~((~v101(constB10)) | (~v110(constB10))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB9, constB10)) | (v100(constB10) <=> (~((~v101(constB10)) | (~v110(constB10))))))),
% 14.00/9.27 inference(rewrite,[status(thm)],[])).
% 14.00/9.27 tff(4535,plain,
% 14.00/9.27 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB9, constB10)) | (v100(constB10) <=> (~((~v101(constB10)) | (~v110(constB10))))))),
% 14.00/9.27 inference(quant_inst,[status(thm)],[])).
% 14.00/9.27 tff(4536,plain,
% 14.00/9.27 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB9, constB10)) | (v100(constB10) <=> (~((~v101(constB10)) | (~v110(constB10)))))),
% 14.00/9.27 inference(modus_ponens,[status(thm)],[4535, 4534])).
% 14.00/9.27 tff(4537,plain,
% 14.00/9.27 (v100(constB10) <=> (~((~v101(constB10)) | (~v110(constB10))))),
% 14.00/9.27 inference(unit_resolution,[status(thm)],[4536, 4533, 430])).
% 14.00/9.27 tff(4538,plain,
% 14.00/9.27 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB9, constB10)) | (v101(constB10) <=> (~((~v1(constB10)) | (~v102(constB10))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB9, constB10)) | (v101(constB10) <=> (~((~v1(constB10)) | (~v102(constB10))))))),
% 14.00/9.27 inference(rewrite,[status(thm)],[])).
% 14.00/9.27 tff(4539,plain,
% 14.00/9.27 (((~nextState(constB9, constB10)) | (v101(constB10) <=> (~((~v102(constB10)) | (~v1(constB10)))))) <=> ((~nextState(constB9, constB10)) | (v101(constB10) <=> (~((~v1(constB10)) | (~v102(constB10))))))),
% 14.00/9.27 inference(rewrite,[status(thm)],[])).
% 14.00/9.27 tff(4540,plain,
% 14.00/9.27 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB9, constB10)) | (v101(constB10) <=> (~((~v102(constB10)) | (~v1(constB10))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB9, constB10)) | (v101(constB10) <=> (~((~v1(constB10)) | (~v102(constB10)))))))),
% 14.00/9.27 inference(monotonicity,[status(thm)],[4539])).
% 14.00/9.27 tff(4541,plain,
% 14.00/9.27 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB9, constB10)) | (v101(constB10) <=> (~((~v102(constB10)) | (~v1(constB10))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB9, constB10)) | (v101(constB10) <=> (~((~v1(constB10)) | (~v102(constB10))))))),
% 14.00/9.27 inference(transitivity,[status(thm)],[4540, 4538])).
% 14.00/9.27 tff(4542,plain,
% 14.00/9.27 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB9, constB10)) | (v101(constB10) <=> (~((~v102(constB10)) | (~v1(constB10))))))),
% 14.00/9.27 inference(quant_inst,[status(thm)],[])).
% 14.00/9.27 tff(4543,plain,
% 14.00/9.27 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB9, constB10)) | (v101(constB10) <=> (~((~v1(constB10)) | (~v102(constB10)))))),
% 14.00/9.27 inference(modus_ponens,[status(thm)],[4542, 4541])).
% 14.00/9.27 tff(4544,plain,
% 14.00/9.27 (v101(constB10) <=> (~((~v1(constB10)) | (~v102(constB10))))),
% 14.00/9.27 inference(unit_resolution,[status(thm)],[4543, 4533, 450])).
% 14.00/9.27 tff(4545,plain,
% 14.00/9.27 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | ((~nextState(constB9, constB10)) | ((~v102(constB10)) <=> v104(constB10)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | (~nextState(constB9, constB10)) | ((~v102(constB10)) <=> v104(constB10)))),
% 14.00/9.27 inference(rewrite,[status(thm)],[])).
% 14.00/9.27 tff(4546,plain,
% 14.00/9.27 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | ((~nextState(constB9, constB10)) | ((~v102(constB10)) <=> v104(constB10)))),
% 14.00/9.27 inference(quant_inst,[status(thm)],[])).
% 14.00/9.27 tff(4547,plain,
% 14.00/9.27 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | (~nextState(constB9, constB10)) | ((~v102(constB10)) <=> v104(constB10))),
% 14.00/9.27 inference(modus_ponens,[status(thm)],[4546, 4545])).
% 14.00/9.27 tff(4548,plain,
% 14.00/9.27 ((~v102(constB10)) <=> v104(constB10)),
% 14.00/9.27 inference(unit_resolution,[status(thm)],[4547, 4533, 512])).
% 14.00/9.27 tff(4549,plain,
% 14.00/9.27 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB9, constB10)) | (v104(constB10) <=> v1(constB9)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | (~nextState(constB9, constB10)) | (v104(constB10) <=> v1(constB9)))),
% 14.00/9.27 inference(rewrite,[status(thm)],[])).
% 14.00/9.27 tff(4550,plain,
% 14.00/9.27 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB9, constB10)) | (v104(constB10) <=> v1(constB9)))),
% 14.00/9.27 inference(quant_inst,[status(thm)],[])).
% 14.00/9.27 tff(4551,plain,
% 14.00/9.27 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | (~nextState(constB9, constB10)) | (v104(constB10) <=> v1(constB9))),
% 14.00/9.27 inference(modus_ponens,[status(thm)],[4550, 4549])).
% 14.00/9.27 tff(4552,plain,
% 14.00/9.27 (v104(constB10) <=> v1(constB9)),
% 14.00/9.27 inference(unit_resolution,[status(thm)],[4551, 4533, 526])).
% 14.00/9.27 tff(4553,plain,
% 14.00/9.27 ((~v1(constB9)) <=> (~v1(constB9))),
% 14.00/9.27 inference(rewrite,[status(thm)],[])).
% 14.00/9.27 tff(4554,axiom,(~v1(constB9)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_9')).
% 14.00/9.27 tff(4555,plain,
% 14.00/9.27 (~v1(constB9)),
% 14.00/9.27 inference(modus_ponens,[status(thm)],[4554, 4553])).
% 14.00/9.27 tff(4556,plain,
% 14.00/9.27 ((~(v104(constB10) <=> v1(constB9))) | (~v104(constB10)) | v1(constB9)),
% 14.00/9.27 inference(tautology,[status(thm)],[])).
% 14.00/9.27 tff(4557,plain,
% 14.00/9.27 ((~(v104(constB10) <=> v1(constB9))) | (~v104(constB10))),
% 14.00/9.27 inference(unit_resolution,[status(thm)],[4556, 4555])).
% 14.00/9.27 tff(4558,plain,
% 14.00/9.27 (~v104(constB10)),
% 14.00/9.27 inference(unit_resolution,[status(thm)],[4557, 4552])).
% 14.00/9.27 tff(4559,plain,
% 14.00/9.27 ((~((~v102(constB10)) <=> v104(constB10))) | v102(constB10) | v104(constB10)),
% 14.00/9.27 inference(tautology,[status(thm)],[])).
% 14.00/9.27 tff(4560,plain,
% 14.00/9.27 (v102(constB10)),
% 14.00/9.27 inference(unit_resolution,[status(thm)],[4559, 4558, 4548])).
% 14.00/9.27 tff(4561,plain,
% 14.00/9.27 (v1(constB10) <=> v1(constB10)),
% 14.00/9.27 inference(rewrite,[status(thm)],[])).
% 14.00/9.27 tff(4562,axiom,(v1(constB10)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_10')).
% 14.00/9.27 tff(4563,plain,
% 14.00/9.27 (v1(constB10)),
% 14.00/9.27 inference(modus_ponens,[status(thm)],[4562, 4561])).
% 14.00/9.27 tff(4564,plain,
% 14.00/9.27 ((~((~v1(constB10)) | (~v102(constB10)))) | (~v1(constB10)) | (~v102(constB10))),
% 14.00/9.27 inference(tautology,[status(thm)],[])).
% 14.00/9.27 tff(4565,plain,
% 14.00/9.27 ((~((~v1(constB10)) | (~v102(constB10)))) | (~v102(constB10))),
% 14.00/9.27 inference(unit_resolution,[status(thm)],[4564, 4563])).
% 14.00/9.27 tff(4566,plain,
% 14.00/9.27 (~((~v1(constB10)) | (~v102(constB10)))),
% 14.00/9.27 inference(unit_resolution,[status(thm)],[4565, 4560])).
% 14.00/9.27 tff(4567,plain,
% 14.00/9.27 ((~(v101(constB10) <=> (~((~v1(constB10)) | (~v102(constB10)))))) | v101(constB10) | ((~v1(constB10)) | (~v102(constB10)))),
% 14.00/9.27 inference(tautology,[status(thm)],[])).
% 14.00/9.27 tff(4568,plain,
% 14.00/9.27 (v101(constB10)),
% 14.00/9.27 inference(unit_resolution,[status(thm)],[4567, 4566, 4544])).
% 14.00/9.27 tff(4569,plain,
% 14.00/9.27 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | ((~nextState(constB9, constB10)) | (v110(constB10) <=> v108(constB9)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | (~nextState(constB9, constB10)) | (v110(constB10) <=> v108(constB9)))),
% 14.00/9.27 inference(rewrite,[status(thm)],[])).
% 14.00/9.27 tff(4570,plain,
% 14.00/9.27 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | ((~nextState(constB9, constB10)) | (v110(constB10) <=> v108(constB9)))),
% 14.00/9.27 inference(quant_inst,[status(thm)],[])).
% 14.00/9.27 tff(4571,plain,
% 14.00/9.27 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | (~nextState(constB9, constB10)) | (v110(constB10) <=> v108(constB9))),
% 14.00/9.27 inference(modus_ponens,[status(thm)],[4570, 4569])).
% 14.00/9.27 tff(4572,plain,
% 14.00/9.27 (v110(constB10) <=> v108(constB9)),
% 14.00/9.27 inference(unit_resolution,[status(thm)],[4571, 4533, 556])).
% 14.00/9.27 tff(4573,plain,
% 14.00/9.27 ((~![VarCurr: $i] : (v108(VarCurr) <=> (v111(VarCurr) | v112(VarCurr)))) | (v108(constB9) <=> (v111(constB9) | v112(constB9)))),
% 14.00/9.27 inference(quant_inst,[status(thm)],[])).
% 14.00/9.27 tff(4574,plain,
% 14.00/9.27 (v108(constB9) <=> (v111(constB9) | v112(constB9))),
% 14.00/9.27 inference(unit_resolution,[status(thm)],[4573, 567])).
% 14.00/9.27 tff(4575,plain,
% 14.00/9.27 ((~![VarCurr: $i] : (v112(VarCurr) <=> (~((~v113(VarCurr)) | (~v126(VarCurr)))))) | (v112(constB9) <=> (~((~v113(constB9)) | (~v126(constB9)))))),
% 14.00/9.27 inference(quant_inst,[status(thm)],[])).
% 14.00/9.27 tff(4576,plain,
% 14.00/9.27 (v112(constB9) <=> (~((~v113(constB9)) | (~v126(constB9))))),
% 14.00/9.27 inference(unit_resolution,[status(thm)],[4575, 579])).
% 14.00/9.27 tff(4577,plain,
% 14.00/9.27 ((~![VarCurr: $i] : (v113(VarCurr) <=> (v114(VarCurr) | v125(VarCurr)))) | (v113(constB9) <=> (v114(constB9) | v125(constB9)))),
% 14.00/9.27 inference(quant_inst,[status(thm)],[])).
% 14.00/9.27 tff(4578,plain,
% 14.00/9.27 (v113(constB9) <=> (v114(constB9) | v125(constB9))),
% 14.00/9.27 inference(unit_resolution,[status(thm)],[4577, 588])).
% 14.00/9.27 tff(4579,plain,
% 14.00/9.27 ((~![VarCurr: $i] : (v114(VarCurr) <=> (v115(VarCurr) | v124(VarCurr)))) | (v114(constB9) <=> (v115(constB9) | v124(constB9)))),
% 14.00/9.27 inference(quant_inst,[status(thm)],[])).
% 14.00/9.27 tff(4580,plain,
% 14.00/9.27 (v114(constB9) <=> (v115(constB9) | v124(constB9))),
% 14.00/9.27 inference(unit_resolution,[status(thm)],[4579, 597])).
% 14.00/9.27 tff(4581,plain,
% 14.00/9.27 ((~![VarCurr: $i] : (v115(VarCurr) <=> (v116(VarCurr) | v123(VarCurr)))) | (v115(constB9) <=> (v116(constB9) | v123(constB9)))),
% 14.00/9.27 inference(quant_inst,[status(thm)],[])).
% 14.00/9.27 tff(4582,plain,
% 14.00/9.27 (v115(constB9) <=> (v116(constB9) | v123(constB9))),
% 14.00/9.27 inference(unit_resolution,[status(thm)],[4581, 606])).
% 14.00/9.27 tff(4583,plain,
% 14.00/9.27 ((~![VarCurr: $i] : (v116(VarCurr) <=> (v117(VarCurr) | v122(VarCurr)))) | (v116(constB9) <=> (v117(constB9) | v122(constB9)))),
% 14.00/9.27 inference(quant_inst,[status(thm)],[])).
% 14.00/9.27 tff(4584,plain,
% 14.00/9.27 (v116(constB9) <=> (v117(constB9) | v122(constB9))),
% 14.00/9.27 inference(unit_resolution,[status(thm)],[4583, 719])).
% 14.00/9.27 tff(4585,plain,
% 14.00/9.27 ((~![VarCurr: $i] : (v117(VarCurr) <=> (v118(VarCurr) | v121(VarCurr)))) | (v117(constB9) <=> (v118(constB9) | v121(constB9)))),
% 14.00/9.27 inference(quant_inst,[status(thm)],[])).
% 14.00/9.27 tff(4586,plain,
% 14.00/9.27 (v117(constB9) <=> (v118(constB9) | v121(constB9))),
% 14.00/9.27 inference(unit_resolution,[status(thm)],[4585, 834])).
% 14.00/9.27 tff(4587,plain,
% 14.00/9.27 (((~![VarCurr: $i] : (v121(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex1)))))) | (v121(constB9) <=> (~(v90(constB9, bitIndex2) | (~v90(constB9, bitIndex1)) | v90(constB9, bitIndex0))))) <=> ((~![VarCurr: $i] : (v121(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex1)))))) | (v121(constB9) <=> (~(v90(constB9, bitIndex2) | (~v90(constB9, bitIndex1)) | v90(constB9, bitIndex0)))))),
% 14.00/9.27 inference(rewrite,[status(thm)],[])).
% 14.00/9.27 tff(4588,plain,
% 14.00/9.27 ((v121(constB9) <=> (~(v90(constB9, bitIndex0) | v90(constB9, bitIndex2) | (~v90(constB9, bitIndex1))))) <=> (v121(constB9) <=> (~(v90(constB9, bitIndex2) | (~v90(constB9, bitIndex1)) | v90(constB9, bitIndex0))))),
% 14.00/9.27 inference(rewrite,[status(thm)],[])).
% 14.00/9.27 tff(4589,plain,
% 14.00/9.27 (((~![VarCurr: $i] : (v121(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex1)))))) | (v121(constB9) <=> (~(v90(constB9, bitIndex0) | v90(constB9, bitIndex2) | (~v90(constB9, bitIndex1)))))) <=> ((~![VarCurr: $i] : (v121(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex1)))))) | (v121(constB9) <=> (~(v90(constB9, bitIndex2) | (~v90(constB9, bitIndex1)) | v90(constB9, bitIndex0)))))),
% 14.00/9.27 inference(monotonicity,[status(thm)],[4588])).
% 14.00/9.27 tff(4590,plain,
% 14.00/9.27 (((~![VarCurr: $i] : (v121(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex1)))))) | (v121(constB9) <=> (~(v90(constB9, bitIndex0) | v90(constB9, bitIndex2) | (~v90(constB9, bitIndex1)))))) <=> ((~![VarCurr: $i] : (v121(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex1)))))) | (v121(constB9) <=> (~(v90(constB9, bitIndex2) | (~v90(constB9, bitIndex1)) | v90(constB9, bitIndex0)))))),
% 14.00/9.27 inference(transitivity,[status(thm)],[4589, 4587])).
% 14.00/9.27 tff(4591,plain,
% 14.00/9.27 ((~![VarCurr: $i] : (v121(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex1)))))) | (v121(constB9) <=> (~(v90(constB9, bitIndex0) | v90(constB9, bitIndex2) | (~v90(constB9, bitIndex1)))))),
% 14.00/9.27 inference(quant_inst,[status(thm)],[])).
% 14.00/9.27 tff(4592,plain,
% 14.00/9.27 ((~![VarCurr: $i] : (v121(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex1)))))) | (v121(constB9) <=> (~(v90(constB9, bitIndex2) | (~v90(constB9, bitIndex1)) | v90(constB9, bitIndex0))))),
% 14.00/9.27 inference(modus_ponens,[status(thm)],[4591, 4590])).
% 14.00/9.27 tff(4593,plain,
% 14.00/9.27 (v121(constB9) <=> (~(v90(constB9, bitIndex2) | (~v90(constB9, bitIndex1)) | v90(constB9, bitIndex0)))),
% 14.00/9.27 inference(unit_resolution,[status(thm)],[4592, 849])).
% 14.00/9.27 tff(4594,plain,
% 14.00/9.27 (nextState(constB8, constB9) <=> nextState(constB8, constB9)),
% 14.00/9.27 inference(rewrite,[status(thm)],[])).
% 14.00/9.27 tff(4595,axiom,(nextState(constB8, constB9)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_8')).
% 14.00/9.27 tff(4596,plain,
% 14.00/9.27 (nextState(constB8, constB9)),
% 14.00/9.27 inference(modus_ponens,[status(thm)],[4595, 4594])).
% 14.00/9.27 tff(4597,plain,
% 14.00/9.27 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB8, constB9)) | (v100(constB9) <=> (~((~v101(constB9)) | (~v110(constB9))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB8, constB9)) | (v100(constB9) <=> (~((~v101(constB9)) | (~v110(constB9))))))),
% 14.00/9.27 inference(rewrite,[status(thm)],[])).
% 14.00/9.27 tff(4598,plain,
% 14.00/9.27 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB8, constB9)) | (v100(constB9) <=> (~((~v101(constB9)) | (~v110(constB9))))))),
% 14.00/9.27 inference(quant_inst,[status(thm)],[])).
% 14.00/9.27 tff(4599,plain,
% 14.00/9.27 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB8, constB9)) | (v100(constB9) <=> (~((~v101(constB9)) | (~v110(constB9)))))),
% 14.00/9.27 inference(modus_ponens,[status(thm)],[4598, 4597])).
% 14.00/9.27 tff(4600,plain,
% 14.00/9.27 (v100(constB9) <=> (~((~v101(constB9)) | (~v110(constB9))))),
% 14.00/9.27 inference(unit_resolution,[status(thm)],[4599, 4596, 430])).
% 14.00/9.27 tff(4601,plain,
% 14.00/9.27 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB8, constB9)) | (v101(constB9) <=> (~((~v1(constB9)) | (~v102(constB9))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB8, constB9)) | (v101(constB9) <=> (~((~v1(constB9)) | (~v102(constB9))))))),
% 14.00/9.27 inference(rewrite,[status(thm)],[])).
% 14.00/9.27 tff(4602,plain,
% 14.00/9.27 (((~nextState(constB8, constB9)) | (v101(constB9) <=> (~((~v102(constB9)) | (~v1(constB9)))))) <=> ((~nextState(constB8, constB9)) | (v101(constB9) <=> (~((~v1(constB9)) | (~v102(constB9))))))),
% 14.00/9.27 inference(rewrite,[status(thm)],[])).
% 14.00/9.27 tff(4603,plain,
% 14.00/9.27 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB8, constB9)) | (v101(constB9) <=> (~((~v102(constB9)) | (~v1(constB9))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB8, constB9)) | (v101(constB9) <=> (~((~v1(constB9)) | (~v102(constB9)))))))),
% 14.00/9.27 inference(monotonicity,[status(thm)],[4602])).
% 14.00/9.27 tff(4604,plain,
% 14.00/9.27 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB8, constB9)) | (v101(constB9) <=> (~((~v102(constB9)) | (~v1(constB9))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB8, constB9)) | (v101(constB9) <=> (~((~v1(constB9)) | (~v102(constB9))))))),
% 14.00/9.27 inference(transitivity,[status(thm)],[4603, 4601])).
% 14.00/9.27 tff(4605,plain,
% 14.00/9.27 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB8, constB9)) | (v101(constB9) <=> (~((~v102(constB9)) | (~v1(constB9))))))),
% 14.00/9.27 inference(quant_inst,[status(thm)],[])).
% 14.00/9.27 tff(4606,plain,
% 14.00/9.27 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB8, constB9)) | (v101(constB9) <=> (~((~v1(constB9)) | (~v102(constB9)))))),
% 14.00/9.27 inference(modus_ponens,[status(thm)],[4605, 4604])).
% 14.00/9.27 tff(4607,plain,
% 14.00/9.27 (v101(constB9) <=> (~((~v1(constB9)) | (~v102(constB9))))),
% 14.00/9.27 inference(unit_resolution,[status(thm)],[4606, 4596, 450])).
% 14.00/9.27 tff(4608,plain,
% 14.00/9.27 (((~v1(constB9)) | (~v102(constB9))) | v1(constB9)),
% 14.00/9.27 inference(tautology,[status(thm)],[])).
% 14.00/9.27 tff(4609,plain,
% 14.00/9.27 ((~v1(constB9)) | (~v102(constB9))),
% 14.00/9.27 inference(unit_resolution,[status(thm)],[4608, 4555])).
% 14.00/9.27 tff(4610,plain,
% 14.00/9.27 ((~(v101(constB9) <=> (~((~v1(constB9)) | (~v102(constB9)))))) | (~v101(constB9)) | (~((~v1(constB9)) | (~v102(constB9))))),
% 14.00/9.27 inference(tautology,[status(thm)],[])).
% 14.00/9.27 tff(4611,plain,
% 14.00/9.27 ((~(v101(constB9) <=> (~((~v1(constB9)) | (~v102(constB9)))))) | (~v101(constB9))),
% 14.00/9.27 inference(unit_resolution,[status(thm)],[4610, 4609])).
% 14.00/9.27 tff(4612,plain,
% 14.00/9.27 (~v101(constB9)),
% 14.00/9.27 inference(unit_resolution,[status(thm)],[4611, 4607])).
% 14.00/9.27 tff(4613,plain,
% 14.00/9.27 (((~v101(constB9)) | (~v110(constB9))) | v101(constB9)),
% 14.00/9.27 inference(tautology,[status(thm)],[])).
% 14.00/9.27 tff(4614,plain,
% 14.00/9.27 ((~v101(constB9)) | (~v110(constB9))),
% 14.00/9.27 inference(unit_resolution,[status(thm)],[4613, 4612])).
% 14.00/9.27 tff(4615,plain,
% 14.00/9.27 ((~(v100(constB9) <=> (~((~v101(constB9)) | (~v110(constB9)))))) | (~v100(constB9)) | (~((~v101(constB9)) | (~v110(constB9))))),
% 14.00/9.27 inference(tautology,[status(thm)],[])).
% 14.00/9.27 tff(4616,plain,
% 14.00/9.27 (~v100(constB9)),
% 14.00/9.27 inference(unit_resolution,[status(thm)],[4615, 4614, 4600])).
% 14.00/9.27 tff(4617,plain,
% 14.00/9.27 (((~![VarCurr: $i, VarNext: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v90(VarCurr, B))))) | (v100(constB9) | (~nextState(constB8, constB9)) | ![B: $i] : ((~less_3(B)) | (v90(constB9, B) <=> v90(constB8, B))))) <=> ((~![VarCurr: $i, VarNext: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v90(VarCurr, B))))) | v100(constB9) | (~nextState(constB8, constB9)) | ![B: $i] : ((~less_3(B)) | (v90(constB9, B) <=> v90(constB8, B))))),
% 14.00/9.27 inference(rewrite,[status(thm)],[])).
% 14.00/9.27 tff(4618,plain,
% 14.00/9.27 ((~![VarCurr: $i, VarNext: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v90(VarCurr, B))))) | (v100(constB9) | (~nextState(constB8, constB9)) | ![B: $i] : ((~less_3(B)) | (v90(constB9, B) <=> v90(constB8, B))))),
% 14.00/9.27 inference(quant_inst,[status(thm)],[])).
% 14.00/9.27 tff(4619,plain,
% 14.00/9.27 ((~![VarCurr: $i, VarNext: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v90(VarCurr, B))))) | v100(constB9) | (~nextState(constB8, constB9)) | ![B: $i] : ((~less_3(B)) | (v90(constB9, B) <=> v90(constB8, B)))),
% 14.00/9.27 inference(modus_ponens,[status(thm)],[4618, 4617])).
% 14.00/9.27 tff(4620,plain,
% 14.00/9.27 (v100(constB9) | ![B: $i] : ((~less_3(B)) | (v90(constB9, B) <=> v90(constB8, B)))),
% 14.00/9.27 inference(unit_resolution,[status(thm)],[4619, 4596, 479])).
% 14.00/9.27 tff(4621,plain,
% 14.00/9.27 (![B: $i] : ((~less_3(B)) | (v90(constB9, B) <=> v90(constB8, B)))),
% 14.00/9.27 inference(unit_resolution,[status(thm)],[4620, 4616])).
% 14.00/9.27 tff(4622,plain,
% 14.00/9.27 (((~![B: $i] : ((~less_3(B)) | (v90(constB9, B) <=> v90(constB8, B)))) | ((~less_3(bitIndex2)) | (v90(constB9, bitIndex2) <=> v90(constB8, bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v90(constB9, B) <=> v90(constB8, B)))) | (~less_3(bitIndex2)) | (v90(constB9, bitIndex2) <=> v90(constB8, bitIndex2)))),
% 14.00/9.27 inference(rewrite,[status(thm)],[])).
% 14.00/9.27 tff(4623,plain,
% 14.00/9.27 ((~![B: $i] : ((~less_3(B)) | (v90(constB9, B) <=> v90(constB8, B)))) | ((~less_3(bitIndex2)) | (v90(constB9, bitIndex2) <=> v90(constB8, bitIndex2)))),
% 14.00/9.27 inference(quant_inst,[status(thm)],[])).
% 14.00/9.27 tff(4624,plain,
% 14.00/9.27 ((~![B: $i] : ((~less_3(B)) | (v90(constB9, B) <=> v90(constB8, B)))) | (~less_3(bitIndex2)) | (v90(constB9, bitIndex2) <=> v90(constB8, bitIndex2))),
% 14.00/9.27 inference(modus_ponens,[status(thm)],[4623, 4622])).
% 14.00/9.27 tff(4625,plain,
% 14.00/9.27 (v90(constB9, bitIndex2) <=> v90(constB8, bitIndex2)),
% 14.00/9.27 inference(unit_resolution,[status(thm)],[4624, 413, 4621])).
% 14.00/9.27 tff(4626,plain,
% 14.00/9.27 (nextState(constB7, constB8) <=> nextState(constB7, constB8)),
% 14.00/9.27 inference(rewrite,[status(thm)],[])).
% 14.00/9.27 tff(4627,axiom,(nextState(constB7, constB8)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_7')).
% 14.00/9.27 tff(4628,plain,
% 14.00/9.27 (nextState(constB7, constB8)),
% 14.00/9.27 inference(modus_ponens,[status(thm)],[4627, 4626])).
% 14.00/9.27 tff(4629,plain,
% 14.00/9.27 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB7, constB8)) | (v100(constB8) <=> (~((~v101(constB8)) | (~v110(constB8))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB7, constB8)) | (v100(constB8) <=> (~((~v101(constB8)) | (~v110(constB8))))))),
% 14.00/9.27 inference(rewrite,[status(thm)],[])).
% 14.00/9.27 tff(4630,plain,
% 14.00/9.27 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB7, constB8)) | (v100(constB8) <=> (~((~v101(constB8)) | (~v110(constB8))))))),
% 14.00/9.27 inference(quant_inst,[status(thm)],[])).
% 14.00/9.27 tff(4631,plain,
% 14.00/9.27 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB7, constB8)) | (v100(constB8) <=> (~((~v101(constB8)) | (~v110(constB8)))))),
% 14.00/9.27 inference(modus_ponens,[status(thm)],[4630, 4629])).
% 14.00/9.27 tff(4632,plain,
% 14.00/9.27 (v100(constB8) <=> (~((~v101(constB8)) | (~v110(constB8))))),
% 14.00/9.27 inference(unit_resolution,[status(thm)],[4631, 4628, 430])).
% 14.00/9.27 tff(4633,plain,
% 14.00/9.27 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB7, constB8)) | (v101(constB8) <=> (~((~v1(constB8)) | (~v102(constB8))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB7, constB8)) | (v101(constB8) <=> (~((~v1(constB8)) | (~v102(constB8))))))),
% 14.00/9.27 inference(rewrite,[status(thm)],[])).
% 14.00/9.27 tff(4634,plain,
% 14.00/9.27 (((~nextState(constB7, constB8)) | (v101(constB8) <=> (~((~v102(constB8)) | (~v1(constB8)))))) <=> ((~nextState(constB7, constB8)) | (v101(constB8) <=> (~((~v1(constB8)) | (~v102(constB8))))))),
% 14.00/9.27 inference(rewrite,[status(thm)],[])).
% 14.00/9.27 tff(4635,plain,
% 14.00/9.27 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB7, constB8)) | (v101(constB8) <=> (~((~v102(constB8)) | (~v1(constB8))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB7, constB8)) | (v101(constB8) <=> (~((~v1(constB8)) | (~v102(constB8)))))))),
% 14.00/9.28 inference(monotonicity,[status(thm)],[4634])).
% 14.00/9.28 tff(4636,plain,
% 14.00/9.28 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB7, constB8)) | (v101(constB8) <=> (~((~v102(constB8)) | (~v1(constB8))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB7, constB8)) | (v101(constB8) <=> (~((~v1(constB8)) | (~v102(constB8))))))),
% 14.00/9.28 inference(transitivity,[status(thm)],[4635, 4633])).
% 14.00/9.28 tff(4637,plain,
% 14.00/9.28 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB7, constB8)) | (v101(constB8) <=> (~((~v102(constB8)) | (~v1(constB8))))))),
% 14.00/9.28 inference(quant_inst,[status(thm)],[])).
% 14.00/9.28 tff(4638,plain,
% 14.00/9.28 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB7, constB8)) | (v101(constB8) <=> (~((~v1(constB8)) | (~v102(constB8)))))),
% 14.00/9.28 inference(modus_ponens,[status(thm)],[4637, 4636])).
% 14.00/9.28 tff(4639,plain,
% 14.00/9.28 (v101(constB8) <=> (~((~v1(constB8)) | (~v102(constB8))))),
% 14.00/9.28 inference(unit_resolution,[status(thm)],[4638, 4628, 450])).
% 14.00/9.28 tff(4640,plain,
% 14.00/9.28 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | ((~nextState(constB7, constB8)) | ((~v102(constB8)) <=> v104(constB8)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | (~nextState(constB7, constB8)) | ((~v102(constB8)) <=> v104(constB8)))),
% 14.00/9.28 inference(rewrite,[status(thm)],[])).
% 14.00/9.28 tff(4641,plain,
% 14.00/9.28 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | ((~nextState(constB7, constB8)) | ((~v102(constB8)) <=> v104(constB8)))),
% 14.00/9.28 inference(quant_inst,[status(thm)],[])).
% 14.00/9.28 tff(4642,plain,
% 14.00/9.28 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | (~nextState(constB7, constB8)) | ((~v102(constB8)) <=> v104(constB8))),
% 14.00/9.28 inference(modus_ponens,[status(thm)],[4641, 4640])).
% 14.00/9.28 tff(4643,plain,
% 14.00/9.28 ((~v102(constB8)) <=> v104(constB8)),
% 14.00/9.28 inference(unit_resolution,[status(thm)],[4642, 4628, 512])).
% 14.00/9.28 tff(4644,plain,
% 14.00/9.28 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB7, constB8)) | (v104(constB8) <=> v1(constB7)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | (~nextState(constB7, constB8)) | (v104(constB8) <=> v1(constB7)))),
% 14.00/9.28 inference(rewrite,[status(thm)],[])).
% 14.00/9.28 tff(4645,plain,
% 14.00/9.28 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB7, constB8)) | (v104(constB8) <=> v1(constB7)))),
% 14.00/9.28 inference(quant_inst,[status(thm)],[])).
% 14.00/9.28 tff(4646,plain,
% 14.00/9.28 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | (~nextState(constB7, constB8)) | (v104(constB8) <=> v1(constB7))),
% 14.00/9.28 inference(modus_ponens,[status(thm)],[4645, 4644])).
% 14.00/9.28 tff(4647,plain,
% 14.00/9.28 (v104(constB8) <=> v1(constB7)),
% 14.00/9.28 inference(unit_resolution,[status(thm)],[4646, 4628, 526])).
% 14.00/9.28 tff(4648,plain,
% 14.00/9.28 ((~v1(constB7)) <=> (~v1(constB7))),
% 14.00/9.28 inference(rewrite,[status(thm)],[])).
% 14.00/9.28 tff(4649,axiom,(~v1(constB7)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_7')).
% 14.00/9.28 tff(4650,plain,
% 14.00/9.28 (~v1(constB7)),
% 14.00/9.28 inference(modus_ponens,[status(thm)],[4649, 4648])).
% 14.00/9.28 tff(4651,plain,
% 14.00/9.28 ((~(v104(constB8) <=> v1(constB7))) | (~v104(constB8)) | v1(constB7)),
% 14.00/9.28 inference(tautology,[status(thm)],[])).
% 14.00/9.28 tff(4652,plain,
% 14.00/9.28 ((~(v104(constB8) <=> v1(constB7))) | (~v104(constB8))),
% 14.00/9.28 inference(unit_resolution,[status(thm)],[4651, 4650])).
% 14.00/9.28 tff(4653,plain,
% 14.00/9.28 (~v104(constB8)),
% 14.00/9.28 inference(unit_resolution,[status(thm)],[4652, 4647])).
% 14.00/9.28 tff(4654,plain,
% 14.00/9.28 ((~((~v102(constB8)) <=> v104(constB8))) | v102(constB8) | v104(constB8)),
% 14.00/9.28 inference(tautology,[status(thm)],[])).
% 14.00/9.28 tff(4655,plain,
% 14.00/9.28 (v102(constB8)),
% 14.00/9.28 inference(unit_resolution,[status(thm)],[4654, 4653, 4643])).
% 14.00/9.28 tff(4656,plain,
% 14.00/9.28 (v1(constB8) <=> v1(constB8)),
% 14.00/9.28 inference(rewrite,[status(thm)],[])).
% 14.00/9.28 tff(4657,axiom,(v1(constB8)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_8')).
% 14.00/9.28 tff(4658,plain,
% 14.00/9.28 (v1(constB8)),
% 14.00/9.28 inference(modus_ponens,[status(thm)],[4657, 4656])).
% 14.00/9.28 tff(4659,plain,
% 14.00/9.28 ((~((~v1(constB8)) | (~v102(constB8)))) | (~v1(constB8)) | (~v102(constB8))),
% 14.00/9.28 inference(tautology,[status(thm)],[])).
% 14.00/9.28 tff(4660,plain,
% 14.00/9.28 ((~((~v1(constB8)) | (~v102(constB8)))) | (~v102(constB8))),
% 14.00/9.28 inference(unit_resolution,[status(thm)],[4659, 4658])).
% 14.00/9.28 tff(4661,plain,
% 14.00/9.28 (~((~v1(constB8)) | (~v102(constB8)))),
% 14.00/9.28 inference(unit_resolution,[status(thm)],[4660, 4655])).
% 14.00/9.28 tff(4662,plain,
% 14.00/9.28 ((~(v101(constB8) <=> (~((~v1(constB8)) | (~v102(constB8)))))) | v101(constB8) | ((~v1(constB8)) | (~v102(constB8)))),
% 14.00/9.28 inference(tautology,[status(thm)],[])).
% 14.00/9.28 tff(4663,plain,
% 14.00/9.28 (v101(constB8)),
% 14.00/9.28 inference(unit_resolution,[status(thm)],[4662, 4661, 4639])).
% 14.00/9.28 tff(4664,plain,
% 14.00/9.28 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | ((~nextState(constB7, constB8)) | (v110(constB8) <=> v108(constB7)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | (~nextState(constB7, constB8)) | (v110(constB8) <=> v108(constB7)))),
% 14.00/9.28 inference(rewrite,[status(thm)],[])).
% 14.00/9.28 tff(4665,plain,
% 14.00/9.28 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | ((~nextState(constB7, constB8)) | (v110(constB8) <=> v108(constB7)))),
% 14.00/9.28 inference(quant_inst,[status(thm)],[])).
% 14.00/9.28 tff(4666,plain,
% 14.00/9.28 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | (~nextState(constB7, constB8)) | (v110(constB8) <=> v108(constB7))),
% 14.00/9.28 inference(modus_ponens,[status(thm)],[4665, 4664])).
% 14.00/9.28 tff(4667,plain,
% 14.00/9.28 (v110(constB8) <=> v108(constB7)),
% 14.00/9.28 inference(unit_resolution,[status(thm)],[4666, 4628, 556])).
% 14.00/9.28 tff(4668,plain,
% 14.00/9.28 ((~![VarCurr: $i] : (v108(VarCurr) <=> (v111(VarCurr) | v112(VarCurr)))) | (v108(constB7) <=> (v111(constB7) | v112(constB7)))),
% 14.00/9.28 inference(quant_inst,[status(thm)],[])).
% 14.00/9.28 tff(4669,plain,
% 14.00/9.28 (v108(constB7) <=> (v111(constB7) | v112(constB7))),
% 14.00/9.28 inference(unit_resolution,[status(thm)],[4668, 567])).
% 14.00/9.28 tff(4670,plain,
% 14.00/9.28 ((~![VarCurr: $i] : (v112(VarCurr) <=> (~((~v113(VarCurr)) | (~v126(VarCurr)))))) | (v112(constB7) <=> (~((~v113(constB7)) | (~v126(constB7)))))),
% 14.00/9.28 inference(quant_inst,[status(thm)],[])).
% 14.00/9.28 tff(4671,plain,
% 14.00/9.28 (v112(constB7) <=> (~((~v113(constB7)) | (~v126(constB7))))),
% 14.00/9.28 inference(unit_resolution,[status(thm)],[4670, 579])).
% 14.00/9.28 tff(4672,plain,
% 14.00/9.28 ((~![VarCurr: $i] : (v113(VarCurr) <=> (v114(VarCurr) | v125(VarCurr)))) | (v113(constB7) <=> (v114(constB7) | v125(constB7)))),
% 14.00/9.28 inference(quant_inst,[status(thm)],[])).
% 14.00/9.28 tff(4673,plain,
% 14.00/9.28 (v113(constB7) <=> (v114(constB7) | v125(constB7))),
% 14.00/9.28 inference(unit_resolution,[status(thm)],[4672, 588])).
% 14.00/9.28 tff(4674,plain,
% 14.00/9.28 ((~![VarCurr: $i] : (v114(VarCurr) <=> (v115(VarCurr) | v124(VarCurr)))) | (v114(constB7) <=> (v115(constB7) | v124(constB7)))),
% 14.00/9.28 inference(quant_inst,[status(thm)],[])).
% 14.00/9.28 tff(4675,plain,
% 14.00/9.28 (v114(constB7) <=> (v115(constB7) | v124(constB7))),
% 14.00/9.28 inference(unit_resolution,[status(thm)],[4674, 597])).
% 14.00/9.28 tff(4676,plain,
% 14.00/9.28 ((~![VarCurr: $i] : (v115(VarCurr) <=> (v116(VarCurr) | v123(VarCurr)))) | (v115(constB7) <=> (v116(constB7) | v123(constB7)))),
% 14.00/9.28 inference(quant_inst,[status(thm)],[])).
% 14.00/9.28 tff(4677,plain,
% 14.00/9.28 (v115(constB7) <=> (v116(constB7) | v123(constB7))),
% 14.00/9.28 inference(unit_resolution,[status(thm)],[4676, 606])).
% 14.00/9.28 tff(4678,plain,
% 14.00/9.28 ((~![VarCurr: $i] : (v116(VarCurr) <=> (v117(VarCurr) | v122(VarCurr)))) | (v116(constB7) <=> (v117(constB7) | v122(constB7)))),
% 14.00/9.28 inference(quant_inst,[status(thm)],[])).
% 14.00/9.28 tff(4679,plain,
% 14.00/9.28 (v116(constB7) <=> (v117(constB7) | v122(constB7))),
% 14.00/9.28 inference(unit_resolution,[status(thm)],[4678, 719])).
% 14.00/9.28 tff(4680,plain,
% 14.00/9.28 ((~![VarCurr: $i] : (v117(VarCurr) <=> (v118(VarCurr) | v121(VarCurr)))) | (v117(constB7) <=> (v118(constB7) | v121(constB7)))),
% 14.00/9.28 inference(quant_inst,[status(thm)],[])).
% 14.00/9.28 tff(4681,plain,
% 14.00/9.28 (v117(constB7) <=> (v118(constB7) | v121(constB7))),
% 14.00/9.28 inference(unit_resolution,[status(thm)],[4680, 834])).
% 14.00/9.28 tff(4682,plain,
% 14.00/9.28 ((~![VarCurr: $i] : (v118(VarCurr) <=> (v119(VarCurr) | v120(VarCurr)))) | (v118(constB7) <=> (v119(constB7) | v120(constB7)))),
% 14.00/9.28 inference(quant_inst,[status(thm)],[])).
% 14.00/9.28 tff(4683,plain,
% 14.00/9.28 (v118(constB7) <=> (v119(constB7) | v120(constB7))),
% 14.00/9.28 inference(unit_resolution,[status(thm)],[4682, 951])).
% 14.00/9.28 tff(4684,plain,
% 14.00/9.28 (((~![VarCurr: $i] : (v120(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)))))) | (v120(constB7) <=> (~(v90(constB7, bitIndex2) | v90(constB7, bitIndex1) | (~v90(constB7, bitIndex0)))))) <=> ((~![VarCurr: $i] : (v120(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)))))) | (v120(constB7) <=> (~(v90(constB7, bitIndex2) | v90(constB7, bitIndex1) | (~v90(constB7, bitIndex0))))))),
% 14.00/9.28 inference(rewrite,[status(thm)],[])).
% 14.00/9.28 tff(4685,plain,
% 14.00/9.28 ((v120(constB7) <=> (~(v90(constB7, bitIndex1) | v90(constB7, bitIndex2) | (~v90(constB7, bitIndex0))))) <=> (v120(constB7) <=> (~(v90(constB7, bitIndex2) | v90(constB7, bitIndex1) | (~v90(constB7, bitIndex0)))))),
% 14.00/9.28 inference(rewrite,[status(thm)],[])).
% 14.00/9.28 tff(4686,plain,
% 14.00/9.28 (((~![VarCurr: $i] : (v120(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)))))) | (v120(constB7) <=> (~(v90(constB7, bitIndex1) | v90(constB7, bitIndex2) | (~v90(constB7, bitIndex0)))))) <=> ((~![VarCurr: $i] : (v120(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)))))) | (v120(constB7) <=> (~(v90(constB7, bitIndex2) | v90(constB7, bitIndex1) | (~v90(constB7, bitIndex0))))))),
% 14.00/9.28 inference(monotonicity,[status(thm)],[4685])).
% 14.00/9.28 tff(4687,plain,
% 14.00/9.28 (((~![VarCurr: $i] : (v120(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)))))) | (v120(constB7) <=> (~(v90(constB7, bitIndex1) | v90(constB7, bitIndex2) | (~v90(constB7, bitIndex0)))))) <=> ((~![VarCurr: $i] : (v120(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)))))) | (v120(constB7) <=> (~(v90(constB7, bitIndex2) | v90(constB7, bitIndex1) | (~v90(constB7, bitIndex0))))))),
% 14.00/9.28 inference(transitivity,[status(thm)],[4686, 4684])).
% 14.00/9.28 tff(4688,plain,
% 14.00/9.28 ((~![VarCurr: $i] : (v120(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)))))) | (v120(constB7) <=> (~(v90(constB7, bitIndex1) | v90(constB7, bitIndex2) | (~v90(constB7, bitIndex0)))))),
% 14.00/9.28 inference(quant_inst,[status(thm)],[])).
% 14.00/9.28 tff(4689,plain,
% 14.00/9.28 ((~![VarCurr: $i] : (v120(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)))))) | (v120(constB7) <=> (~(v90(constB7, bitIndex2) | v90(constB7, bitIndex1) | (~v90(constB7, bitIndex0)))))),
% 14.00/9.28 inference(modus_ponens,[status(thm)],[4688, 4687])).
% 14.00/9.28 tff(4690,plain,
% 14.00/9.28 (v120(constB7) <=> (~(v90(constB7, bitIndex2) | v90(constB7, bitIndex1) | (~v90(constB7, bitIndex0))))),
% 14.00/9.28 inference(unit_resolution,[status(thm)],[4689, 966])).
% 14.00/9.28 tff(4691,plain,
% 14.00/9.28 (nextState(constB6, constB7) <=> nextState(constB6, constB7)),
% 14.00/9.28 inference(rewrite,[status(thm)],[])).
% 14.00/9.28 tff(4692,axiom,(nextState(constB6, constB7)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_6')).
% 14.00/9.28 tff(4693,plain,
% 14.00/9.28 (nextState(constB6, constB7)),
% 14.00/9.28 inference(modus_ponens,[status(thm)],[4692, 4691])).
% 14.00/9.28 tff(4694,plain,
% 14.00/9.28 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB6, constB7)) | (v100(constB7) <=> (~((~v101(constB7)) | (~v110(constB7))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB6, constB7)) | (v100(constB7) <=> (~((~v101(constB7)) | (~v110(constB7))))))),
% 14.00/9.28 inference(rewrite,[status(thm)],[])).
% 14.00/9.28 tff(4695,plain,
% 14.00/9.28 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB6, constB7)) | (v100(constB7) <=> (~((~v101(constB7)) | (~v110(constB7))))))),
% 14.00/9.28 inference(quant_inst,[status(thm)],[])).
% 14.00/9.28 tff(4696,plain,
% 14.00/9.28 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB6, constB7)) | (v100(constB7) <=> (~((~v101(constB7)) | (~v110(constB7)))))),
% 14.00/9.28 inference(modus_ponens,[status(thm)],[4695, 4694])).
% 14.00/9.28 tff(4697,plain,
% 14.00/9.28 (v100(constB7) <=> (~((~v101(constB7)) | (~v110(constB7))))),
% 14.00/9.28 inference(unit_resolution,[status(thm)],[4696, 4693, 430])).
% 14.00/9.28 tff(4698,plain,
% 14.00/9.28 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB6, constB7)) | (v101(constB7) <=> (~((~v1(constB7)) | (~v102(constB7))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB6, constB7)) | (v101(constB7) <=> (~((~v1(constB7)) | (~v102(constB7))))))),
% 14.00/9.28 inference(rewrite,[status(thm)],[])).
% 14.00/9.28 tff(4699,plain,
% 14.00/9.28 (((~nextState(constB6, constB7)) | (v101(constB7) <=> (~((~v102(constB7)) | (~v1(constB7)))))) <=> ((~nextState(constB6, constB7)) | (v101(constB7) <=> (~((~v1(constB7)) | (~v102(constB7))))))),
% 14.00/9.28 inference(rewrite,[status(thm)],[])).
% 14.00/9.28 tff(4700,plain,
% 14.00/9.28 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB6, constB7)) | (v101(constB7) <=> (~((~v102(constB7)) | (~v1(constB7))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB6, constB7)) | (v101(constB7) <=> (~((~v1(constB7)) | (~v102(constB7)))))))),
% 14.00/9.28 inference(monotonicity,[status(thm)],[4699])).
% 14.00/9.28 tff(4701,plain,
% 14.00/9.28 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB6, constB7)) | (v101(constB7) <=> (~((~v102(constB7)) | (~v1(constB7))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB6, constB7)) | (v101(constB7) <=> (~((~v1(constB7)) | (~v102(constB7))))))),
% 14.00/9.28 inference(transitivity,[status(thm)],[4700, 4698])).
% 14.00/9.28 tff(4702,plain,
% 14.00/9.28 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB6, constB7)) | (v101(constB7) <=> (~((~v102(constB7)) | (~v1(constB7))))))),
% 14.00/9.28 inference(quant_inst,[status(thm)],[])).
% 14.00/9.28 tff(4703,plain,
% 14.00/9.28 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB6, constB7)) | (v101(constB7) <=> (~((~v1(constB7)) | (~v102(constB7)))))),
% 14.00/9.28 inference(modus_ponens,[status(thm)],[4702, 4701])).
% 14.00/9.28 tff(4704,plain,
% 14.00/9.28 (v101(constB7) <=> (~((~v1(constB7)) | (~v102(constB7))))),
% 14.00/9.28 inference(unit_resolution,[status(thm)],[4703, 4693, 450])).
% 14.00/9.28 tff(4705,plain,
% 14.00/9.28 (((~v1(constB7)) | (~v102(constB7))) | v1(constB7)),
% 14.00/9.28 inference(tautology,[status(thm)],[])).
% 14.00/9.28 tff(4706,plain,
% 14.00/9.28 ((~v1(constB7)) | (~v102(constB7))),
% 14.00/9.28 inference(unit_resolution,[status(thm)],[4705, 4650])).
% 14.00/9.28 tff(4707,plain,
% 14.00/9.28 ((~(v101(constB7) <=> (~((~v1(constB7)) | (~v102(constB7)))))) | (~v101(constB7)) | (~((~v1(constB7)) | (~v102(constB7))))),
% 14.00/9.28 inference(tautology,[status(thm)],[])).
% 14.00/9.28 tff(4708,plain,
% 14.00/9.28 ((~(v101(constB7) <=> (~((~v1(constB7)) | (~v102(constB7)))))) | (~v101(constB7))),
% 14.00/9.28 inference(unit_resolution,[status(thm)],[4707, 4706])).
% 14.00/9.28 tff(4709,plain,
% 14.00/9.28 (~v101(constB7)),
% 14.00/9.28 inference(unit_resolution,[status(thm)],[4708, 4704])).
% 14.00/9.28 tff(4710,plain,
% 14.00/9.28 (((~v101(constB7)) | (~v110(constB7))) | v101(constB7)),
% 14.00/9.28 inference(tautology,[status(thm)],[])).
% 14.00/9.28 tff(4711,plain,
% 14.00/9.28 ((~v101(constB7)) | (~v110(constB7))),
% 14.00/9.28 inference(unit_resolution,[status(thm)],[4710, 4709])).
% 14.00/9.28 tff(4712,plain,
% 14.00/9.28 ((~(v100(constB7) <=> (~((~v101(constB7)) | (~v110(constB7)))))) | (~v100(constB7)) | (~((~v101(constB7)) | (~v110(constB7))))),
% 14.00/9.28 inference(tautology,[status(thm)],[])).
% 14.00/9.28 tff(4713,plain,
% 14.00/9.28 (~v100(constB7)),
% 14.00/9.28 inference(unit_resolution,[status(thm)],[4712, 4711, 4697])).
% 14.00/9.28 tff(4714,plain,
% 14.00/9.28 (((~![VarCurr: $i, VarNext: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v90(VarCurr, B))))) | (v100(constB7) | (~nextState(constB6, constB7)) | ![B: $i] : ((~less_3(B)) | (v90(constB7, B) <=> v90(constB6, B))))) <=> ((~![VarCurr: $i, VarNext: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v90(VarCurr, B))))) | v100(constB7) | (~nextState(constB6, constB7)) | ![B: $i] : ((~less_3(B)) | (v90(constB7, B) <=> v90(constB6, B))))),
% 14.00/9.28 inference(rewrite,[status(thm)],[])).
% 14.00/9.28 tff(4715,plain,
% 14.00/9.28 ((~![VarCurr: $i, VarNext: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v90(VarCurr, B))))) | (v100(constB7) | (~nextState(constB6, constB7)) | ![B: $i] : ((~less_3(B)) | (v90(constB7, B) <=> v90(constB6, B))))),
% 14.00/9.28 inference(quant_inst,[status(thm)],[])).
% 14.00/9.28 tff(4716,plain,
% 14.00/9.28 ((~![VarCurr: $i, VarNext: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v90(VarCurr, B))))) | v100(constB7) | (~nextState(constB6, constB7)) | ![B: $i] : ((~less_3(B)) | (v90(constB7, B) <=> v90(constB6, B)))),
% 14.00/9.28 inference(modus_ponens,[status(thm)],[4715, 4714])).
% 14.00/9.28 tff(4717,plain,
% 14.00/9.28 (v100(constB7) | ![B: $i] : ((~less_3(B)) | (v90(constB7, B) <=> v90(constB6, B)))),
% 14.00/9.28 inference(unit_resolution,[status(thm)],[4716, 4693, 479])).
% 14.00/9.28 tff(4718,plain,
% 14.00/9.28 (![B: $i] : ((~less_3(B)) | (v90(constB7, B) <=> v90(constB6, B)))),
% 14.00/9.28 inference(unit_resolution,[status(thm)],[4717, 4713])).
% 14.00/9.28 tff(4719,plain,
% 14.00/9.28 (((~![B: $i] : ((~less_3(B)) | (v90(constB7, B) <=> v90(constB6, B)))) | ((~less_3(bitIndex2)) | (v90(constB7, bitIndex2) <=> v90(constB6, bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v90(constB7, B) <=> v90(constB6, B)))) | (~less_3(bitIndex2)) | (v90(constB7, bitIndex2) <=> v90(constB6, bitIndex2)))),
% 14.00/9.28 inference(rewrite,[status(thm)],[])).
% 14.00/9.28 tff(4720,plain,
% 14.00/9.28 ((~![B: $i] : ((~less_3(B)) | (v90(constB7, B) <=> v90(constB6, B)))) | ((~less_3(bitIndex2)) | (v90(constB7, bitIndex2) <=> v90(constB6, bitIndex2)))),
% 14.00/9.28 inference(quant_inst,[status(thm)],[])).
% 14.00/9.28 tff(4721,plain,
% 14.00/9.28 ((~![B: $i] : ((~less_3(B)) | (v90(constB7, B) <=> v90(constB6, B)))) | (~less_3(bitIndex2)) | (v90(constB7, bitIndex2) <=> v90(constB6, bitIndex2))),
% 14.00/9.28 inference(modus_ponens,[status(thm)],[4720, 4719])).
% 14.00/9.28 tff(4722,plain,
% 14.00/9.28 (v90(constB7, bitIndex2) <=> v90(constB6, bitIndex2)),
% 14.00/9.28 inference(unit_resolution,[status(thm)],[4721, 413, 4718])).
% 14.00/9.28 tff(4723,plain,
% 14.00/9.28 (nextState(constB5, constB6) <=> nextState(constB5, constB6)),
% 14.00/9.28 inference(rewrite,[status(thm)],[])).
% 14.00/9.28 tff(4724,axiom,(nextState(constB5, constB6)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_5')).
% 14.00/9.28 tff(4725,plain,
% 14.00/9.28 (nextState(constB5, constB6)),
% 14.00/9.28 inference(modus_ponens,[status(thm)],[4724, 4723])).
% 14.00/9.28 tff(4726,plain,
% 14.00/9.28 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB5, constB6)) | (v100(constB6) <=> (~((~v101(constB6)) | (~v110(constB6))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB5, constB6)) | (v100(constB6) <=> (~((~v101(constB6)) | (~v110(constB6))))))),
% 14.00/9.28 inference(rewrite,[status(thm)],[])).
% 14.00/9.28 tff(4727,plain,
% 14.00/9.28 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB5, constB6)) | (v100(constB6) <=> (~((~v101(constB6)) | (~v110(constB6))))))),
% 14.00/9.28 inference(quant_inst,[status(thm)],[])).
% 14.00/9.28 tff(4728,plain,
% 14.00/9.28 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB5, constB6)) | (v100(constB6) <=> (~((~v101(constB6)) | (~v110(constB6)))))),
% 14.00/9.28 inference(modus_ponens,[status(thm)],[4727, 4726])).
% 14.00/9.28 tff(4729,plain,
% 14.00/9.28 (v100(constB6) <=> (~((~v101(constB6)) | (~v110(constB6))))),
% 14.00/9.28 inference(unit_resolution,[status(thm)],[4728, 4725, 430])).
% 14.00/9.28 tff(4730,plain,
% 14.00/9.28 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB5, constB6)) | (v101(constB6) <=> (~((~v1(constB6)) | (~v102(constB6))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB5, constB6)) | (v101(constB6) <=> (~((~v1(constB6)) | (~v102(constB6))))))),
% 14.00/9.28 inference(rewrite,[status(thm)],[])).
% 14.00/9.28 tff(4731,plain,
% 14.00/9.28 (((~nextState(constB5, constB6)) | (v101(constB6) <=> (~((~v102(constB6)) | (~v1(constB6)))))) <=> ((~nextState(constB5, constB6)) | (v101(constB6) <=> (~((~v1(constB6)) | (~v102(constB6))))))),
% 14.00/9.28 inference(rewrite,[status(thm)],[])).
% 14.00/9.28 tff(4732,plain,
% 14.00/9.28 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB5, constB6)) | (v101(constB6) <=> (~((~v102(constB6)) | (~v1(constB6))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB5, constB6)) | (v101(constB6) <=> (~((~v1(constB6)) | (~v102(constB6)))))))),
% 14.00/9.28 inference(monotonicity,[status(thm)],[4731])).
% 14.00/9.28 tff(4733,plain,
% 14.00/9.28 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB5, constB6)) | (v101(constB6) <=> (~((~v102(constB6)) | (~v1(constB6))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB5, constB6)) | (v101(constB6) <=> (~((~v1(constB6)) | (~v102(constB6))))))),
% 14.00/9.28 inference(transitivity,[status(thm)],[4732, 4730])).
% 14.00/9.28 tff(4734,plain,
% 14.00/9.28 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB5, constB6)) | (v101(constB6) <=> (~((~v102(constB6)) | (~v1(constB6))))))),
% 14.00/9.28 inference(quant_inst,[status(thm)],[])).
% 14.00/9.28 tff(4735,plain,
% 14.00/9.28 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB5, constB6)) | (v101(constB6) <=> (~((~v1(constB6)) | (~v102(constB6)))))),
% 14.00/9.28 inference(modus_ponens,[status(thm)],[4734, 4733])).
% 14.00/9.28 tff(4736,plain,
% 14.00/9.28 (v101(constB6) <=> (~((~v1(constB6)) | (~v102(constB6))))),
% 14.00/9.28 inference(unit_resolution,[status(thm)],[4735, 4725, 450])).
% 14.00/9.28 tff(4737,plain,
% 14.00/9.28 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | ((~nextState(constB5, constB6)) | ((~v102(constB6)) <=> v104(constB6)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | (~nextState(constB5, constB6)) | ((~v102(constB6)) <=> v104(constB6)))),
% 14.00/9.28 inference(rewrite,[status(thm)],[])).
% 14.00/9.28 tff(4738,plain,
% 14.00/9.28 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | ((~nextState(constB5, constB6)) | ((~v102(constB6)) <=> v104(constB6)))),
% 14.00/9.28 inference(quant_inst,[status(thm)],[])).
% 14.00/9.28 tff(4739,plain,
% 14.00/9.28 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | (~nextState(constB5, constB6)) | ((~v102(constB6)) <=> v104(constB6))),
% 14.00/9.28 inference(modus_ponens,[status(thm)],[4738, 4737])).
% 14.00/9.28 tff(4740,plain,
% 14.00/9.28 ((~v102(constB6)) <=> v104(constB6)),
% 14.00/9.28 inference(unit_resolution,[status(thm)],[4739, 4725, 512])).
% 14.00/9.28 tff(4741,plain,
% 14.00/9.28 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB5, constB6)) | (v104(constB6) <=> v1(constB5)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | (~nextState(constB5, constB6)) | (v104(constB6) <=> v1(constB5)))),
% 14.00/9.28 inference(rewrite,[status(thm)],[])).
% 14.00/9.28 tff(4742,plain,
% 14.00/9.28 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB5, constB6)) | (v104(constB6) <=> v1(constB5)))),
% 14.00/9.28 inference(quant_inst,[status(thm)],[])).
% 14.00/9.28 tff(4743,plain,
% 14.00/9.28 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | (~nextState(constB5, constB6)) | (v104(constB6) <=> v1(constB5))),
% 14.00/9.28 inference(modus_ponens,[status(thm)],[4742, 4741])).
% 14.00/9.28 tff(4744,plain,
% 14.00/9.28 (v104(constB6) <=> v1(constB5)),
% 14.00/9.28 inference(unit_resolution,[status(thm)],[4743, 4725, 526])).
% 14.00/9.28 tff(4745,plain,
% 14.00/9.28 ((~v1(constB5)) <=> (~v1(constB5))),
% 14.00/9.28 inference(rewrite,[status(thm)],[])).
% 14.00/9.28 tff(4746,axiom,(~v1(constB5)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_5')).
% 14.00/9.28 tff(4747,plain,
% 14.00/9.28 (~v1(constB5)),
% 14.00/9.28 inference(modus_ponens,[status(thm)],[4746, 4745])).
% 14.00/9.28 tff(4748,plain,
% 14.00/9.28 ((~(v104(constB6) <=> v1(constB5))) | (~v104(constB6)) | v1(constB5)),
% 14.00/9.28 inference(tautology,[status(thm)],[])).
% 14.00/9.28 tff(4749,plain,
% 14.00/9.28 ((~(v104(constB6) <=> v1(constB5))) | (~v104(constB6))),
% 14.00/9.28 inference(unit_resolution,[status(thm)],[4748, 4747])).
% 14.00/9.28 tff(4750,plain,
% 14.00/9.28 (~v104(constB6)),
% 14.00/9.28 inference(unit_resolution,[status(thm)],[4749, 4744])).
% 14.00/9.28 tff(4751,plain,
% 14.00/9.28 ((~((~v102(constB6)) <=> v104(constB6))) | v102(constB6) | v104(constB6)),
% 14.00/9.28 inference(tautology,[status(thm)],[])).
% 14.00/9.28 tff(4752,plain,
% 14.00/9.28 (v102(constB6)),
% 14.00/9.28 inference(unit_resolution,[status(thm)],[4751, 4750, 4740])).
% 14.00/9.28 tff(4753,plain,
% 14.00/9.28 (v1(constB6) <=> v1(constB6)),
% 14.00/9.28 inference(rewrite,[status(thm)],[])).
% 14.00/9.28 tff(4754,axiom,(v1(constB6)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_6')).
% 14.00/9.28 tff(4755,plain,
% 14.00/9.28 (v1(constB6)),
% 14.00/9.28 inference(modus_ponens,[status(thm)],[4754, 4753])).
% 14.00/9.28 tff(4756,plain,
% 14.00/9.28 ((~((~v1(constB6)) | (~v102(constB6)))) | (~v1(constB6)) | (~v102(constB6))),
% 14.00/9.28 inference(tautology,[status(thm)],[])).
% 14.00/9.28 tff(4757,plain,
% 14.00/9.28 ((~((~v1(constB6)) | (~v102(constB6)))) | (~v102(constB6))),
% 14.00/9.28 inference(unit_resolution,[status(thm)],[4756, 4755])).
% 14.00/9.28 tff(4758,plain,
% 14.00/9.28 (~((~v1(constB6)) | (~v102(constB6)))),
% 14.00/9.28 inference(unit_resolution,[status(thm)],[4757, 4752])).
% 14.00/9.28 tff(4759,plain,
% 14.00/9.28 ((~(v101(constB6) <=> (~((~v1(constB6)) | (~v102(constB6)))))) | v101(constB6) | ((~v1(constB6)) | (~v102(constB6)))),
% 14.00/9.28 inference(tautology,[status(thm)],[])).
% 14.00/9.28 tff(4760,plain,
% 14.00/9.28 (v101(constB6)),
% 14.00/9.28 inference(unit_resolution,[status(thm)],[4759, 4758, 4736])).
% 14.00/9.28 tff(4761,plain,
% 14.00/9.28 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | ((~nextState(constB5, constB6)) | (v110(constB6) <=> v108(constB5)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | (~nextState(constB5, constB6)) | (v110(constB6) <=> v108(constB5)))),
% 14.00/9.28 inference(rewrite,[status(thm)],[])).
% 14.00/9.28 tff(4762,plain,
% 14.00/9.28 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | ((~nextState(constB5, constB6)) | (v110(constB6) <=> v108(constB5)))),
% 14.00/9.28 inference(quant_inst,[status(thm)],[])).
% 14.00/9.28 tff(4763,plain,
% 14.00/9.28 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | (~nextState(constB5, constB6)) | (v110(constB6) <=> v108(constB5))),
% 14.00/9.29 inference(modus_ponens,[status(thm)],[4762, 4761])).
% 14.00/9.29 tff(4764,plain,
% 14.00/9.29 (v110(constB6) <=> v108(constB5)),
% 14.00/9.29 inference(unit_resolution,[status(thm)],[4763, 4725, 556])).
% 14.00/9.29 tff(4765,plain,
% 14.00/9.29 ((~![VarCurr: $i] : (v108(VarCurr) <=> (v111(VarCurr) | v112(VarCurr)))) | (v108(constB5) <=> (v111(constB5) | v112(constB5)))),
% 14.00/9.29 inference(quant_inst,[status(thm)],[])).
% 14.00/9.29 tff(4766,plain,
% 14.00/9.29 (v108(constB5) <=> (v111(constB5) | v112(constB5))),
% 14.00/9.29 inference(unit_resolution,[status(thm)],[4765, 567])).
% 14.00/9.29 tff(4767,plain,
% 14.00/9.29 ((~![VarCurr: $i] : (v112(VarCurr) <=> (~((~v113(VarCurr)) | (~v126(VarCurr)))))) | (v112(constB5) <=> (~((~v113(constB5)) | (~v126(constB5)))))),
% 14.00/9.29 inference(quant_inst,[status(thm)],[])).
% 14.00/9.29 tff(4768,plain,
% 14.00/9.29 (v112(constB5) <=> (~((~v113(constB5)) | (~v126(constB5))))),
% 14.00/9.29 inference(unit_resolution,[status(thm)],[4767, 579])).
% 14.00/9.29 tff(4769,plain,
% 14.00/9.29 ((~![VarCurr: $i] : (v113(VarCurr) <=> (v114(VarCurr) | v125(VarCurr)))) | (v113(constB5) <=> (v114(constB5) | v125(constB5)))),
% 14.00/9.29 inference(quant_inst,[status(thm)],[])).
% 14.00/9.29 tff(4770,plain,
% 14.00/9.29 (v113(constB5) <=> (v114(constB5) | v125(constB5))),
% 14.00/9.29 inference(unit_resolution,[status(thm)],[4769, 588])).
% 14.00/9.29 tff(4771,plain,
% 14.00/9.29 (((~![VarCurr: $i] : (v125(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2)))))) | (v125(constB5) <=> (~((~v90(constB5, bitIndex2)) | (~v90(constB5, bitIndex1)) | v90(constB5, bitIndex0))))) <=> ((~![VarCurr: $i] : (v125(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2)))))) | (v125(constB5) <=> (~((~v90(constB5, bitIndex2)) | (~v90(constB5, bitIndex1)) | v90(constB5, bitIndex0)))))),
% 14.00/9.29 inference(rewrite,[status(thm)],[])).
% 14.00/9.29 tff(4772,plain,
% 14.00/9.29 ((v125(constB5) <=> (~(v90(constB5, bitIndex0) | (~v90(constB5, bitIndex1)) | (~v90(constB5, bitIndex2))))) <=> (v125(constB5) <=> (~((~v90(constB5, bitIndex2)) | (~v90(constB5, bitIndex1)) | v90(constB5, bitIndex0))))),
% 14.00/9.29 inference(rewrite,[status(thm)],[])).
% 14.00/9.29 tff(4773,plain,
% 14.00/9.29 (((~![VarCurr: $i] : (v125(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2)))))) | (v125(constB5) <=> (~(v90(constB5, bitIndex0) | (~v90(constB5, bitIndex1)) | (~v90(constB5, bitIndex2)))))) <=> ((~![VarCurr: $i] : (v125(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2)))))) | (v125(constB5) <=> (~((~v90(constB5, bitIndex2)) | (~v90(constB5, bitIndex1)) | v90(constB5, bitIndex0)))))),
% 14.00/9.29 inference(monotonicity,[status(thm)],[4772])).
% 14.00/9.29 tff(4774,plain,
% 14.00/9.29 (((~![VarCurr: $i] : (v125(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2)))))) | (v125(constB5) <=> (~(v90(constB5, bitIndex0) | (~v90(constB5, bitIndex1)) | (~v90(constB5, bitIndex2)))))) <=> ((~![VarCurr: $i] : (v125(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2)))))) | (v125(constB5) <=> (~((~v90(constB5, bitIndex2)) | (~v90(constB5, bitIndex1)) | v90(constB5, bitIndex0)))))),
% 14.00/9.29 inference(transitivity,[status(thm)],[4773, 4771])).
% 14.00/9.29 tff(4775,plain,
% 14.00/9.29 ((~![VarCurr: $i] : (v125(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2)))))) | (v125(constB5) <=> (~(v90(constB5, bitIndex0) | (~v90(constB5, bitIndex1)) | (~v90(constB5, bitIndex2)))))),
% 14.00/9.29 inference(quant_inst,[status(thm)],[])).
% 14.00/9.29 tff(4776,plain,
% 14.00/9.29 ((~![VarCurr: $i] : (v125(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2)))))) | (v125(constB5) <=> (~((~v90(constB5, bitIndex2)) | (~v90(constB5, bitIndex1)) | v90(constB5, bitIndex0))))),
% 14.00/9.29 inference(modus_ponens,[status(thm)],[4775, 4774])).
% 14.00/9.29 tff(4777,plain,
% 14.00/9.29 (v125(constB5) <=> (~((~v90(constB5, bitIndex2)) | (~v90(constB5, bitIndex1)) | v90(constB5, bitIndex0)))),
% 14.00/9.29 inference(unit_resolution,[status(thm)],[4776, 1066])).
% 14.00/9.29 tff(4778,plain,
% 14.00/9.29 (nextState(constB4, constB5) <=> nextState(constB4, constB5)),
% 14.00/9.29 inference(rewrite,[status(thm)],[])).
% 14.00/9.29 tff(4779,axiom,(nextState(constB4, constB5)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_4')).
% 14.00/9.29 tff(4780,plain,
% 14.00/9.29 (nextState(constB4, constB5)),
% 14.00/9.29 inference(modus_ponens,[status(thm)],[4779, 4778])).
% 14.00/9.29 tff(4781,plain,
% 14.00/9.29 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB4, constB5)) | (v100(constB5) <=> (~((~v101(constB5)) | (~v110(constB5))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB4, constB5)) | (v100(constB5) <=> (~((~v101(constB5)) | (~v110(constB5))))))),
% 14.00/9.29 inference(rewrite,[status(thm)],[])).
% 14.00/9.29 tff(4782,plain,
% 14.00/9.29 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB4, constB5)) | (v100(constB5) <=> (~((~v101(constB5)) | (~v110(constB5))))))),
% 14.00/9.29 inference(quant_inst,[status(thm)],[])).
% 14.00/9.29 tff(4783,plain,
% 14.00/9.29 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB4, constB5)) | (v100(constB5) <=> (~((~v101(constB5)) | (~v110(constB5)))))),
% 14.00/9.29 inference(modus_ponens,[status(thm)],[4782, 4781])).
% 14.00/9.29 tff(4784,plain,
% 14.00/9.29 (v100(constB5) <=> (~((~v101(constB5)) | (~v110(constB5))))),
% 14.00/9.29 inference(unit_resolution,[status(thm)],[4783, 4780, 430])).
% 14.00/9.29 tff(4785,plain,
% 14.00/9.29 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB4, constB5)) | (v101(constB5) <=> (~((~v1(constB5)) | (~v102(constB5))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB4, constB5)) | (v101(constB5) <=> (~((~v1(constB5)) | (~v102(constB5))))))),
% 14.00/9.29 inference(rewrite,[status(thm)],[])).
% 14.00/9.29 tff(4786,plain,
% 14.00/9.29 (((~nextState(constB4, constB5)) | (v101(constB5) <=> (~((~v102(constB5)) | (~v1(constB5)))))) <=> ((~nextState(constB4, constB5)) | (v101(constB5) <=> (~((~v1(constB5)) | (~v102(constB5))))))),
% 14.00/9.29 inference(rewrite,[status(thm)],[])).
% 14.00/9.29 tff(4787,plain,
% 14.00/9.29 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB4, constB5)) | (v101(constB5) <=> (~((~v102(constB5)) | (~v1(constB5))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB4, constB5)) | (v101(constB5) <=> (~((~v1(constB5)) | (~v102(constB5)))))))),
% 14.00/9.29 inference(monotonicity,[status(thm)],[4786])).
% 14.00/9.29 tff(4788,plain,
% 14.00/9.29 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB4, constB5)) | (v101(constB5) <=> (~((~v102(constB5)) | (~v1(constB5))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB4, constB5)) | (v101(constB5) <=> (~((~v1(constB5)) | (~v102(constB5))))))),
% 14.00/9.29 inference(transitivity,[status(thm)],[4787, 4785])).
% 14.00/9.29 tff(4789,plain,
% 14.00/9.29 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB4, constB5)) | (v101(constB5) <=> (~((~v102(constB5)) | (~v1(constB5))))))),
% 14.00/9.29 inference(quant_inst,[status(thm)],[])).
% 14.00/9.29 tff(4790,plain,
% 14.00/9.29 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB4, constB5)) | (v101(constB5) <=> (~((~v1(constB5)) | (~v102(constB5)))))),
% 14.00/9.29 inference(modus_ponens,[status(thm)],[4789, 4788])).
% 14.00/9.29 tff(4791,plain,
% 14.00/9.29 (v101(constB5) <=> (~((~v1(constB5)) | (~v102(constB5))))),
% 14.00/9.29 inference(unit_resolution,[status(thm)],[4790, 4780, 450])).
% 14.00/9.29 tff(4792,plain,
% 14.00/9.29 (((~v1(constB5)) | (~v102(constB5))) | v1(constB5)),
% 14.00/9.29 inference(tautology,[status(thm)],[])).
% 14.00/9.29 tff(4793,plain,
% 14.00/9.29 ((~v1(constB5)) | (~v102(constB5))),
% 14.00/9.29 inference(unit_resolution,[status(thm)],[4792, 4747])).
% 14.00/9.29 tff(4794,plain,
% 14.00/9.29 ((~(v101(constB5) <=> (~((~v1(constB5)) | (~v102(constB5)))))) | (~v101(constB5)) | (~((~v1(constB5)) | (~v102(constB5))))),
% 14.00/9.29 inference(tautology,[status(thm)],[])).
% 14.00/9.29 tff(4795,plain,
% 14.00/9.29 ((~(v101(constB5) <=> (~((~v1(constB5)) | (~v102(constB5)))))) | (~v101(constB5))),
% 14.00/9.29 inference(unit_resolution,[status(thm)],[4794, 4793])).
% 14.00/9.29 tff(4796,plain,
% 14.00/9.29 (~v101(constB5)),
% 14.00/9.29 inference(unit_resolution,[status(thm)],[4795, 4791])).
% 14.00/9.29 tff(4797,plain,
% 14.00/9.29 (((~v101(constB5)) | (~v110(constB5))) | v101(constB5)),
% 14.00/9.29 inference(tautology,[status(thm)],[])).
% 14.00/9.29 tff(4798,plain,
% 14.00/9.29 ((~v101(constB5)) | (~v110(constB5))),
% 14.00/9.29 inference(unit_resolution,[status(thm)],[4797, 4796])).
% 14.00/9.29 tff(4799,plain,
% 14.00/9.29 ((~(v100(constB5) <=> (~((~v101(constB5)) | (~v110(constB5)))))) | (~v100(constB5)) | (~((~v101(constB5)) | (~v110(constB5))))),
% 14.00/9.29 inference(tautology,[status(thm)],[])).
% 14.00/9.29 tff(4800,plain,
% 14.00/9.29 (~v100(constB5)),
% 14.00/9.29 inference(unit_resolution,[status(thm)],[4799, 4798, 4784])).
% 14.00/9.29 tff(4801,plain,
% 14.00/9.29 (((~![VarCurr: $i, VarNext: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v90(VarCurr, B))))) | (v100(constB5) | (~nextState(constB4, constB5)) | ![B: $i] : ((~less_3(B)) | (v90(constB5, B) <=> v90(constB4, B))))) <=> ((~![VarCurr: $i, VarNext: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v90(VarCurr, B))))) | v100(constB5) | (~nextState(constB4, constB5)) | ![B: $i] : ((~less_3(B)) | (v90(constB5, B) <=> v90(constB4, B))))),
% 14.00/9.29 inference(rewrite,[status(thm)],[])).
% 14.00/9.29 tff(4802,plain,
% 14.00/9.29 ((~![VarCurr: $i, VarNext: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v90(VarCurr, B))))) | (v100(constB5) | (~nextState(constB4, constB5)) | ![B: $i] : ((~less_3(B)) | (v90(constB5, B) <=> v90(constB4, B))))),
% 14.00/9.29 inference(quant_inst,[status(thm)],[])).
% 14.00/9.29 tff(4803,plain,
% 14.00/9.29 ((~![VarCurr: $i, VarNext: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v90(VarCurr, B))))) | v100(constB5) | (~nextState(constB4, constB5)) | ![B: $i] : ((~less_3(B)) | (v90(constB5, B) <=> v90(constB4, B)))),
% 14.00/9.29 inference(modus_ponens,[status(thm)],[4802, 4801])).
% 14.00/9.29 tff(4804,plain,
% 14.00/9.29 (v100(constB5) | ![B: $i] : ((~less_3(B)) | (v90(constB5, B) <=> v90(constB4, B)))),
% 14.00/9.29 inference(unit_resolution,[status(thm)],[4803, 4780, 479])).
% 14.00/9.29 tff(4805,plain,
% 14.00/9.29 (![B: $i] : ((~less_3(B)) | (v90(constB5, B) <=> v90(constB4, B)))),
% 14.00/9.29 inference(unit_resolution,[status(thm)],[4804, 4800])).
% 14.00/9.29 tff(4806,plain,
% 14.00/9.29 (((~![B: $i] : ((~less_3(B)) | (v90(constB5, B) <=> v90(constB4, B)))) | ((~less_3(bitIndex2)) | (v90(constB5, bitIndex2) <=> v90(constB4, bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v90(constB5, B) <=> v90(constB4, B)))) | (~less_3(bitIndex2)) | (v90(constB5, bitIndex2) <=> v90(constB4, bitIndex2)))),
% 14.00/9.29 inference(rewrite,[status(thm)],[])).
% 14.00/9.29 tff(4807,plain,
% 14.00/9.29 ((~![B: $i] : ((~less_3(B)) | (v90(constB5, B) <=> v90(constB4, B)))) | ((~less_3(bitIndex2)) | (v90(constB5, bitIndex2) <=> v90(constB4, bitIndex2)))),
% 14.00/9.29 inference(quant_inst,[status(thm)],[])).
% 14.00/9.29 tff(4808,plain,
% 14.00/9.29 ((~![B: $i] : ((~less_3(B)) | (v90(constB5, B) <=> v90(constB4, B)))) | (~less_3(bitIndex2)) | (v90(constB5, bitIndex2) <=> v90(constB4, bitIndex2))),
% 14.00/9.29 inference(modus_ponens,[status(thm)],[4807, 4806])).
% 14.00/9.29 tff(4809,plain,
% 14.00/9.29 (v90(constB5, bitIndex2) <=> v90(constB4, bitIndex2)),
% 14.00/9.29 inference(unit_resolution,[status(thm)],[4808, 413, 4805])).
% 14.00/9.29 tff(4810,plain,
% 14.00/9.29 (nextState(constB3, constB4) <=> nextState(constB3, constB4)),
% 14.00/9.29 inference(rewrite,[status(thm)],[])).
% 14.00/9.29 tff(4811,axiom,(nextState(constB3, constB4)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_3')).
% 14.00/9.29 tff(4812,plain,
% 14.00/9.29 (nextState(constB3, constB4)),
% 14.00/9.29 inference(modus_ponens,[status(thm)],[4811, 4810])).
% 14.00/9.29 tff(4813,plain,
% 14.00/9.29 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB3, constB4)) | (v100(constB4) <=> (~((~v101(constB4)) | (~v110(constB4))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB3, constB4)) | (v100(constB4) <=> (~((~v101(constB4)) | (~v110(constB4))))))),
% 14.00/9.29 inference(rewrite,[status(thm)],[])).
% 14.00/9.29 tff(4814,plain,
% 14.00/9.29 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB3, constB4)) | (v100(constB4) <=> (~((~v101(constB4)) | (~v110(constB4))))))),
% 14.00/9.29 inference(quant_inst,[status(thm)],[])).
% 14.00/9.29 tff(4815,plain,
% 14.00/9.29 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB3, constB4)) | (v100(constB4) <=> (~((~v101(constB4)) | (~v110(constB4)))))),
% 14.00/9.29 inference(modus_ponens,[status(thm)],[4814, 4813])).
% 14.00/9.29 tff(4816,plain,
% 14.00/9.29 (v100(constB4) <=> (~((~v101(constB4)) | (~v110(constB4))))),
% 14.00/9.29 inference(unit_resolution,[status(thm)],[4815, 4812, 430])).
% 14.00/9.29 tff(4817,plain,
% 14.00/9.29 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB3, constB4)) | (v101(constB4) <=> (~((~v1(constB4)) | (~v102(constB4))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB3, constB4)) | (v101(constB4) <=> (~((~v1(constB4)) | (~v102(constB4))))))),
% 14.00/9.29 inference(rewrite,[status(thm)],[])).
% 14.00/9.29 tff(4818,plain,
% 14.00/9.29 (((~nextState(constB3, constB4)) | (v101(constB4) <=> (~((~v102(constB4)) | (~v1(constB4)))))) <=> ((~nextState(constB3, constB4)) | (v101(constB4) <=> (~((~v1(constB4)) | (~v102(constB4))))))),
% 14.00/9.29 inference(rewrite,[status(thm)],[])).
% 14.00/9.29 tff(4819,plain,
% 14.00/9.29 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB3, constB4)) | (v101(constB4) <=> (~((~v102(constB4)) | (~v1(constB4))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB3, constB4)) | (v101(constB4) <=> (~((~v1(constB4)) | (~v102(constB4)))))))),
% 14.00/9.29 inference(monotonicity,[status(thm)],[4818])).
% 14.00/9.29 tff(4820,plain,
% 14.00/9.29 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB3, constB4)) | (v101(constB4) <=> (~((~v102(constB4)) | (~v1(constB4))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB3, constB4)) | (v101(constB4) <=> (~((~v1(constB4)) | (~v102(constB4))))))),
% 14.00/9.29 inference(transitivity,[status(thm)],[4819, 4817])).
% 14.00/9.29 tff(4821,plain,
% 14.00/9.29 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB3, constB4)) | (v101(constB4) <=> (~((~v102(constB4)) | (~v1(constB4))))))),
% 14.00/9.29 inference(quant_inst,[status(thm)],[])).
% 14.00/9.29 tff(4822,plain,
% 14.00/9.29 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB3, constB4)) | (v101(constB4) <=> (~((~v1(constB4)) | (~v102(constB4)))))),
% 14.00/9.29 inference(modus_ponens,[status(thm)],[4821, 4820])).
% 14.00/9.29 tff(4823,plain,
% 14.00/9.29 (v101(constB4) <=> (~((~v1(constB4)) | (~v102(constB4))))),
% 14.00/9.29 inference(unit_resolution,[status(thm)],[4822, 4812, 450])).
% 14.00/9.29 tff(4824,plain,
% 14.00/9.29 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | ((~nextState(constB3, constB4)) | ((~v102(constB4)) <=> v104(constB4)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | (~nextState(constB3, constB4)) | ((~v102(constB4)) <=> v104(constB4)))),
% 14.00/9.29 inference(rewrite,[status(thm)],[])).
% 14.00/9.29 tff(4825,plain,
% 14.00/9.29 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | ((~nextState(constB3, constB4)) | ((~v102(constB4)) <=> v104(constB4)))),
% 14.00/9.29 inference(quant_inst,[status(thm)],[])).
% 14.00/9.29 tff(4826,plain,
% 14.00/9.29 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | (~nextState(constB3, constB4)) | ((~v102(constB4)) <=> v104(constB4))),
% 14.00/9.29 inference(modus_ponens,[status(thm)],[4825, 4824])).
% 14.00/9.29 tff(4827,plain,
% 14.00/9.29 ((~v102(constB4)) <=> v104(constB4)),
% 14.00/9.29 inference(unit_resolution,[status(thm)],[4826, 4812, 512])).
% 14.00/9.29 tff(4828,plain,
% 14.00/9.29 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB3, constB4)) | (v104(constB4) <=> v1(constB3)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | (~nextState(constB3, constB4)) | (v104(constB4) <=> v1(constB3)))),
% 14.00/9.29 inference(rewrite,[status(thm)],[])).
% 14.00/9.29 tff(4829,plain,
% 14.00/9.29 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB3, constB4)) | (v104(constB4) <=> v1(constB3)))),
% 14.00/9.29 inference(quant_inst,[status(thm)],[])).
% 14.00/9.29 tff(4830,plain,
% 14.00/9.29 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | (~nextState(constB3, constB4)) | (v104(constB4) <=> v1(constB3))),
% 14.00/9.29 inference(modus_ponens,[status(thm)],[4829, 4828])).
% 14.00/9.29 tff(4831,plain,
% 14.00/9.29 (v104(constB4) <=> v1(constB3)),
% 14.00/9.29 inference(unit_resolution,[status(thm)],[4830, 4812, 526])).
% 14.00/9.29 tff(4832,plain,
% 14.00/9.29 ((~v1(constB3)) <=> (~v1(constB3))),
% 14.00/9.29 inference(rewrite,[status(thm)],[])).
% 14.00/9.29 tff(4833,axiom,(~v1(constB3)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_3')).
% 14.00/9.29 tff(4834,plain,
% 14.00/9.29 (~v1(constB3)),
% 14.00/9.29 inference(modus_ponens,[status(thm)],[4833, 4832])).
% 14.00/9.29 tff(4835,plain,
% 14.00/9.29 ((~(v104(constB4) <=> v1(constB3))) | (~v104(constB4)) | v1(constB3)),
% 14.00/9.29 inference(tautology,[status(thm)],[])).
% 14.00/9.29 tff(4836,plain,
% 14.00/9.29 ((~(v104(constB4) <=> v1(constB3))) | (~v104(constB4))),
% 14.00/9.29 inference(unit_resolution,[status(thm)],[4835, 4834])).
% 14.00/9.29 tff(4837,plain,
% 14.00/9.29 (~v104(constB4)),
% 14.00/9.29 inference(unit_resolution,[status(thm)],[4836, 4831])).
% 14.00/9.29 tff(4838,plain,
% 14.00/9.29 ((~((~v102(constB4)) <=> v104(constB4))) | v102(constB4) | v104(constB4)),
% 14.00/9.29 inference(tautology,[status(thm)],[])).
% 14.00/9.29 tff(4839,plain,
% 14.00/9.29 (v102(constB4)),
% 14.00/9.29 inference(unit_resolution,[status(thm)],[4838, 4837, 4827])).
% 14.00/9.29 tff(4840,plain,
% 14.00/9.29 (v1(constB4) <=> v1(constB4)),
% 14.00/9.29 inference(rewrite,[status(thm)],[])).
% 14.00/9.29 tff(4841,axiom,(v1(constB4)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_4')).
% 14.00/9.29 tff(4842,plain,
% 14.00/9.29 (v1(constB4)),
% 14.00/9.29 inference(modus_ponens,[status(thm)],[4841, 4840])).
% 14.00/9.29 tff(4843,plain,
% 14.00/9.29 ((~((~v1(constB4)) | (~v102(constB4)))) | (~v1(constB4)) | (~v102(constB4))),
% 14.00/9.29 inference(tautology,[status(thm)],[])).
% 14.00/9.29 tff(4844,plain,
% 14.00/9.29 ((~((~v1(constB4)) | (~v102(constB4)))) | (~v102(constB4))),
% 14.00/9.29 inference(unit_resolution,[status(thm)],[4843, 4842])).
% 14.00/9.29 tff(4845,plain,
% 14.00/9.29 (~((~v1(constB4)) | (~v102(constB4)))),
% 14.00/9.29 inference(unit_resolution,[status(thm)],[4844, 4839])).
% 14.00/9.29 tff(4846,plain,
% 14.00/9.29 ((~(v101(constB4) <=> (~((~v1(constB4)) | (~v102(constB4)))))) | v101(constB4) | ((~v1(constB4)) | (~v102(constB4)))),
% 14.00/9.29 inference(tautology,[status(thm)],[])).
% 14.00/9.29 tff(4847,plain,
% 14.00/9.29 (v101(constB4)),
% 14.00/9.29 inference(unit_resolution,[status(thm)],[4846, 4845, 4823])).
% 14.00/9.29 tff(4848,plain,
% 14.00/9.29 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | ((~nextState(constB3, constB4)) | (v110(constB4) <=> v108(constB3)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | (~nextState(constB3, constB4)) | (v110(constB4) <=> v108(constB3)))),
% 14.00/9.29 inference(rewrite,[status(thm)],[])).
% 14.00/9.29 tff(4849,plain,
% 14.00/9.29 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | ((~nextState(constB3, constB4)) | (v110(constB4) <=> v108(constB3)))),
% 14.00/9.29 inference(quant_inst,[status(thm)],[])).
% 14.00/9.29 tff(4850,plain,
% 14.00/9.29 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | (~nextState(constB3, constB4)) | (v110(constB4) <=> v108(constB3))),
% 14.00/9.29 inference(modus_ponens,[status(thm)],[4849, 4848])).
% 14.00/9.29 tff(4851,plain,
% 14.00/9.29 (v110(constB4) <=> v108(constB3)),
% 14.00/9.29 inference(unit_resolution,[status(thm)],[4850, 4812, 556])).
% 14.00/9.29 tff(4852,plain,
% 14.00/9.29 ((~![VarCurr: $i] : (v108(VarCurr) <=> (v111(VarCurr) | v112(VarCurr)))) | (v108(constB3) <=> (v111(constB3) | v112(constB3)))),
% 14.00/9.29 inference(quant_inst,[status(thm)],[])).
% 14.00/9.29 tff(4853,plain,
% 14.00/9.29 (v108(constB3) <=> (v111(constB3) | v112(constB3))),
% 14.00/9.29 inference(unit_resolution,[status(thm)],[4852, 567])).
% 14.00/9.29 tff(4854,plain,
% 14.00/9.29 ((~![VarCurr: $i] : (v112(VarCurr) <=> (~((~v113(VarCurr)) | (~v126(VarCurr)))))) | (v112(constB3) <=> (~((~v113(constB3)) | (~v126(constB3)))))),
% 14.00/9.29 inference(quant_inst,[status(thm)],[])).
% 14.00/9.29 tff(4855,plain,
% 14.00/9.29 (v112(constB3) <=> (~((~v113(constB3)) | (~v126(constB3))))),
% 14.00/9.29 inference(unit_resolution,[status(thm)],[4854, 579])).
% 14.00/9.29 tff(4856,plain,
% 14.00/9.29 ((~![VarCurr: $i] : (v113(VarCurr) <=> (v114(VarCurr) | v125(VarCurr)))) | (v113(constB3) <=> (v114(constB3) | v125(constB3)))),
% 14.00/9.29 inference(quant_inst,[status(thm)],[])).
% 14.00/9.29 tff(4857,plain,
% 14.00/9.29 (v113(constB3) <=> (v114(constB3) | v125(constB3))),
% 14.00/9.29 inference(unit_resolution,[status(thm)],[4856, 588])).
% 14.00/9.29 tff(4858,plain,
% 14.00/9.29 ((~![VarCurr: $i] : (v114(VarCurr) <=> (v115(VarCurr) | v124(VarCurr)))) | (v114(constB3) <=> (v115(constB3) | v124(constB3)))),
% 14.00/9.29 inference(quant_inst,[status(thm)],[])).
% 14.00/9.29 tff(4859,plain,
% 14.00/9.29 (v114(constB3) <=> (v115(constB3) | v124(constB3))),
% 14.00/9.29 inference(unit_resolution,[status(thm)],[4858, 597])).
% 14.00/9.29 tff(4860,plain,
% 14.00/9.29 ((~![VarCurr: $i] : (v115(VarCurr) <=> (v116(VarCurr) | v123(VarCurr)))) | (v115(constB3) <=> (v116(constB3) | v123(constB3)))),
% 14.00/9.29 inference(quant_inst,[status(thm)],[])).
% 14.00/9.29 tff(4861,plain,
% 14.00/9.29 (v115(constB3) <=> (v116(constB3) | v123(constB3))),
% 14.00/9.29 inference(unit_resolution,[status(thm)],[4860, 606])).
% 14.00/9.29 tff(4862,plain,
% 14.00/9.29 (((~![VarCurr: $i] : (v123(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)))))) | (v123(constB3) <=> (~((~v90(constB3, bitIndex2)) | v90(constB3, bitIndex1) | v90(constB3, bitIndex0))))) <=> ((~![VarCurr: $i] : (v123(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)))))) | (v123(constB3) <=> (~((~v90(constB3, bitIndex2)) | v90(constB3, bitIndex1) | v90(constB3, bitIndex0)))))),
% 14.00/9.29 inference(rewrite,[status(thm)],[])).
% 14.00/9.29 tff(4863,plain,
% 14.00/9.29 ((v123(constB3) <=> (~(v90(constB3, bitIndex0) | v90(constB3, bitIndex1) | (~v90(constB3, bitIndex2))))) <=> (v123(constB3) <=> (~((~v90(constB3, bitIndex2)) | v90(constB3, bitIndex1) | v90(constB3, bitIndex0))))),
% 14.00/9.29 inference(rewrite,[status(thm)],[])).
% 14.00/9.29 tff(4864,plain,
% 14.00/9.29 (((~![VarCurr: $i] : (v123(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)))))) | (v123(constB3) <=> (~(v90(constB3, bitIndex0) | v90(constB3, bitIndex1) | (~v90(constB3, bitIndex2)))))) <=> ((~![VarCurr: $i] : (v123(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)))))) | (v123(constB3) <=> (~((~v90(constB3, bitIndex2)) | v90(constB3, bitIndex1) | v90(constB3, bitIndex0)))))),
% 14.00/9.29 inference(monotonicity,[status(thm)],[4863])).
% 14.00/9.29 tff(4865,plain,
% 14.00/9.29 (((~![VarCurr: $i] : (v123(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)))))) | (v123(constB3) <=> (~(v90(constB3, bitIndex0) | v90(constB3, bitIndex1) | (~v90(constB3, bitIndex2)))))) <=> ((~![VarCurr: $i] : (v123(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)))))) | (v123(constB3) <=> (~((~v90(constB3, bitIndex2)) | v90(constB3, bitIndex1) | v90(constB3, bitIndex0)))))),
% 14.00/9.29 inference(transitivity,[status(thm)],[4864, 4862])).
% 14.00/9.29 tff(4866,plain,
% 14.00/9.29 ((~![VarCurr: $i] : (v123(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)))))) | (v123(constB3) <=> (~(v90(constB3, bitIndex0) | v90(constB3, bitIndex1) | (~v90(constB3, bitIndex2)))))),
% 14.00/9.29 inference(quant_inst,[status(thm)],[])).
% 14.00/9.29 tff(4867,plain,
% 14.00/9.29 ((~![VarCurr: $i] : (v123(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)))))) | (v123(constB3) <=> (~((~v90(constB3, bitIndex2)) | v90(constB3, bitIndex1) | v90(constB3, bitIndex0))))),
% 14.00/9.29 inference(modus_ponens,[status(thm)],[4866, 4865])).
% 14.00/9.29 tff(4868,plain,
% 14.00/9.29 (v123(constB3) <=> (~((~v90(constB3, bitIndex2)) | v90(constB3, bitIndex1) | v90(constB3, bitIndex0)))),
% 14.00/9.29 inference(unit_resolution,[status(thm)],[4867, 621])).
% 14.00/9.29 tff(4869,plain,
% 14.00/9.29 (nextState(constB2, constB3) <=> nextState(constB2, constB3)),
% 14.00/9.29 inference(rewrite,[status(thm)],[])).
% 14.00/9.29 tff(4870,axiom,(nextState(constB2, constB3)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_2')).
% 14.00/9.29 tff(4871,plain,
% 14.00/9.29 (nextState(constB2, constB3)),
% 14.00/9.29 inference(modus_ponens,[status(thm)],[4870, 4869])).
% 14.00/9.29 tff(4872,plain,
% 14.00/9.29 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB2, constB3)) | (v100(constB3) <=> (~((~v101(constB3)) | (~v110(constB3))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB2, constB3)) | (v100(constB3) <=> (~((~v101(constB3)) | (~v110(constB3))))))),
% 14.00/9.29 inference(rewrite,[status(thm)],[])).
% 14.00/9.29 tff(4873,plain,
% 14.00/9.29 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB2, constB3)) | (v100(constB3) <=> (~((~v101(constB3)) | (~v110(constB3))))))),
% 14.00/9.29 inference(quant_inst,[status(thm)],[])).
% 14.00/9.29 tff(4874,plain,
% 14.00/9.29 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB2, constB3)) | (v100(constB3) <=> (~((~v101(constB3)) | (~v110(constB3)))))),
% 14.00/9.29 inference(modus_ponens,[status(thm)],[4873, 4872])).
% 14.00/9.29 tff(4875,plain,
% 14.00/9.29 (v100(constB3) <=> (~((~v101(constB3)) | (~v110(constB3))))),
% 14.00/9.29 inference(unit_resolution,[status(thm)],[4874, 4871, 430])).
% 14.00/9.29 tff(4876,plain,
% 14.00/9.29 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB2, constB3)) | (v101(constB3) <=> (~((~v1(constB3)) | (~v102(constB3))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB2, constB3)) | (v101(constB3) <=> (~((~v1(constB3)) | (~v102(constB3))))))),
% 14.00/9.29 inference(rewrite,[status(thm)],[])).
% 14.00/9.29 tff(4877,plain,
% 14.00/9.29 (((~nextState(constB2, constB3)) | (v101(constB3) <=> (~((~v102(constB3)) | (~v1(constB3)))))) <=> ((~nextState(constB2, constB3)) | (v101(constB3) <=> (~((~v1(constB3)) | (~v102(constB3))))))),
% 14.00/9.29 inference(rewrite,[status(thm)],[])).
% 14.00/9.29 tff(4878,plain,
% 14.00/9.29 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB2, constB3)) | (v101(constB3) <=> (~((~v102(constB3)) | (~v1(constB3))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB2, constB3)) | (v101(constB3) <=> (~((~v1(constB3)) | (~v102(constB3)))))))),
% 14.00/9.29 inference(monotonicity,[status(thm)],[4877])).
% 14.00/9.29 tff(4879,plain,
% 14.00/9.29 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB2, constB3)) | (v101(constB3) <=> (~((~v102(constB3)) | (~v1(constB3))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB2, constB3)) | (v101(constB3) <=> (~((~v1(constB3)) | (~v102(constB3))))))),
% 14.09/9.30 inference(transitivity,[status(thm)],[4878, 4876])).
% 14.09/9.30 tff(4880,plain,
% 14.09/9.30 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB2, constB3)) | (v101(constB3) <=> (~((~v102(constB3)) | (~v1(constB3))))))),
% 14.09/9.30 inference(quant_inst,[status(thm)],[])).
% 14.09/9.30 tff(4881,plain,
% 14.09/9.30 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB2, constB3)) | (v101(constB3) <=> (~((~v1(constB3)) | (~v102(constB3)))))),
% 14.09/9.30 inference(modus_ponens,[status(thm)],[4880, 4879])).
% 14.09/9.30 tff(4882,plain,
% 14.09/9.30 (v101(constB3) <=> (~((~v1(constB3)) | (~v102(constB3))))),
% 14.09/9.30 inference(unit_resolution,[status(thm)],[4881, 4871, 450])).
% 14.09/9.30 tff(4883,plain,
% 14.09/9.30 (((~v1(constB3)) | (~v102(constB3))) | v1(constB3)),
% 14.09/9.30 inference(tautology,[status(thm)],[])).
% 14.09/9.30 tff(4884,plain,
% 14.09/9.30 ((~v1(constB3)) | (~v102(constB3))),
% 14.09/9.30 inference(unit_resolution,[status(thm)],[4883, 4834])).
% 14.09/9.30 tff(4885,plain,
% 14.09/9.30 ((~(v101(constB3) <=> (~((~v1(constB3)) | (~v102(constB3)))))) | (~v101(constB3)) | (~((~v1(constB3)) | (~v102(constB3))))),
% 14.09/9.30 inference(tautology,[status(thm)],[])).
% 14.09/9.30 tff(4886,plain,
% 14.09/9.30 ((~(v101(constB3) <=> (~((~v1(constB3)) | (~v102(constB3)))))) | (~v101(constB3))),
% 14.09/9.30 inference(unit_resolution,[status(thm)],[4885, 4884])).
% 14.09/9.30 tff(4887,plain,
% 14.09/9.30 (~v101(constB3)),
% 14.09/9.30 inference(unit_resolution,[status(thm)],[4886, 4882])).
% 14.09/9.30 tff(4888,plain,
% 14.09/9.30 (((~v101(constB3)) | (~v110(constB3))) | v101(constB3)),
% 14.09/9.30 inference(tautology,[status(thm)],[])).
% 14.09/9.30 tff(4889,plain,
% 14.09/9.30 ((~v101(constB3)) | (~v110(constB3))),
% 14.09/9.30 inference(unit_resolution,[status(thm)],[4888, 4887])).
% 14.09/9.30 tff(4890,plain,
% 14.09/9.30 ((~(v100(constB3) <=> (~((~v101(constB3)) | (~v110(constB3)))))) | (~v100(constB3)) | (~((~v101(constB3)) | (~v110(constB3))))),
% 14.09/9.30 inference(tautology,[status(thm)],[])).
% 14.09/9.30 tff(4891,plain,
% 14.09/9.30 (~v100(constB3)),
% 14.09/9.30 inference(unit_resolution,[status(thm)],[4890, 4889, 4875])).
% 14.09/9.30 tff(4892,plain,
% 14.09/9.30 (((~![VarCurr: $i, VarNext: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v90(VarCurr, B))))) | (v100(constB3) | (~nextState(constB2, constB3)) | ![B: $i] : ((~less_3(B)) | (v90(constB3, B) <=> v90(constB2, B))))) <=> ((~![VarCurr: $i, VarNext: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v90(VarCurr, B))))) | v100(constB3) | (~nextState(constB2, constB3)) | ![B: $i] : ((~less_3(B)) | (v90(constB3, B) <=> v90(constB2, B))))),
% 14.09/9.30 inference(rewrite,[status(thm)],[])).
% 14.09/9.30 tff(4893,plain,
% 14.09/9.30 ((~![VarCurr: $i, VarNext: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v90(VarCurr, B))))) | (v100(constB3) | (~nextState(constB2, constB3)) | ![B: $i] : ((~less_3(B)) | (v90(constB3, B) <=> v90(constB2, B))))),
% 14.09/9.30 inference(quant_inst,[status(thm)],[])).
% 14.09/9.30 tff(4894,plain,
% 14.09/9.30 ((~![VarCurr: $i, VarNext: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v90(VarCurr, B))))) | v100(constB3) | (~nextState(constB2, constB3)) | ![B: $i] : ((~less_3(B)) | (v90(constB3, B) <=> v90(constB2, B)))),
% 14.09/9.30 inference(modus_ponens,[status(thm)],[4893, 4892])).
% 14.09/9.30 tff(4895,plain,
% 14.09/9.30 (v100(constB3) | ![B: $i] : ((~less_3(B)) | (v90(constB3, B) <=> v90(constB2, B)))),
% 14.09/9.30 inference(unit_resolution,[status(thm)],[4894, 4871, 479])).
% 14.09/9.30 tff(4896,plain,
% 14.09/9.30 (![B: $i] : ((~less_3(B)) | (v90(constB3, B) <=> v90(constB2, B)))),
% 14.09/9.30 inference(unit_resolution,[status(thm)],[4895, 4891])).
% 14.09/9.30 tff(4897,plain,
% 14.09/9.30 (((~![B: $i] : ((~less_3(B)) | (v90(constB3, B) <=> v90(constB2, B)))) | ((~less_3(bitIndex2)) | (v90(constB3, bitIndex2) <=> v90(constB2, bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v90(constB3, B) <=> v90(constB2, B)))) | (~less_3(bitIndex2)) | (v90(constB3, bitIndex2) <=> v90(constB2, bitIndex2)))),
% 14.09/9.30 inference(rewrite,[status(thm)],[])).
% 14.09/9.30 tff(4898,plain,
% 14.09/9.30 ((~![B: $i] : ((~less_3(B)) | (v90(constB3, B) <=> v90(constB2, B)))) | ((~less_3(bitIndex2)) | (v90(constB3, bitIndex2) <=> v90(constB2, bitIndex2)))),
% 14.09/9.30 inference(quant_inst,[status(thm)],[])).
% 14.09/9.30 tff(4899,plain,
% 14.09/9.30 ((~![B: $i] : ((~less_3(B)) | (v90(constB3, B) <=> v90(constB2, B)))) | (~less_3(bitIndex2)) | (v90(constB3, bitIndex2) <=> v90(constB2, bitIndex2))),
% 14.09/9.30 inference(modus_ponens,[status(thm)],[4898, 4897])).
% 14.09/9.30 tff(4900,plain,
% 14.09/9.30 (v90(constB3, bitIndex2) <=> v90(constB2, bitIndex2)),
% 14.09/9.30 inference(unit_resolution,[status(thm)],[4899, 413, 4896])).
% 14.09/9.30 tff(4901,plain,
% 14.09/9.30 (nextState(constB1, constB2) <=> nextState(constB1, constB2)),
% 14.09/9.30 inference(rewrite,[status(thm)],[])).
% 14.09/9.30 tff(4902,axiom,(nextState(constB1, constB2)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_1')).
% 14.09/9.30 tff(4903,plain,
% 14.09/9.30 (nextState(constB1, constB2)),
% 14.09/9.30 inference(modus_ponens,[status(thm)],[4902, 4901])).
% 14.09/9.30 tff(4904,plain,
% 14.09/9.30 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB1, constB2)) | (v100(constB2) <=> (~((~v101(constB2)) | (~v110(constB2))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB1, constB2)) | (v100(constB2) <=> (~((~v101(constB2)) | (~v110(constB2))))))),
% 14.09/9.30 inference(rewrite,[status(thm)],[])).
% 14.09/9.30 tff(4905,plain,
% 14.09/9.30 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB1, constB2)) | (v100(constB2) <=> (~((~v101(constB2)) | (~v110(constB2))))))),
% 14.09/9.30 inference(quant_inst,[status(thm)],[])).
% 14.09/9.30 tff(4906,plain,
% 14.09/9.30 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB1, constB2)) | (v100(constB2) <=> (~((~v101(constB2)) | (~v110(constB2)))))),
% 14.09/9.30 inference(modus_ponens,[status(thm)],[4905, 4904])).
% 14.09/9.30 tff(4907,plain,
% 14.09/9.30 (v100(constB2) <=> (~((~v101(constB2)) | (~v110(constB2))))),
% 14.09/9.30 inference(unit_resolution,[status(thm)],[4906, 4903, 430])).
% 14.09/9.30 tff(4908,plain,
% 14.09/9.30 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB1, constB2)) | (v101(constB2) <=> (~((~v1(constB2)) | (~v102(constB2))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB1, constB2)) | (v101(constB2) <=> (~((~v1(constB2)) | (~v102(constB2))))))),
% 14.09/9.30 inference(rewrite,[status(thm)],[])).
% 14.09/9.30 tff(4909,plain,
% 14.09/9.30 (((~nextState(constB1, constB2)) | (v101(constB2) <=> (~((~v102(constB2)) | (~v1(constB2)))))) <=> ((~nextState(constB1, constB2)) | (v101(constB2) <=> (~((~v1(constB2)) | (~v102(constB2))))))),
% 14.09/9.30 inference(rewrite,[status(thm)],[])).
% 14.09/9.30 tff(4910,plain,
% 14.09/9.30 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB1, constB2)) | (v101(constB2) <=> (~((~v102(constB2)) | (~v1(constB2))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB1, constB2)) | (v101(constB2) <=> (~((~v1(constB2)) | (~v102(constB2)))))))),
% 14.09/9.30 inference(monotonicity,[status(thm)],[4909])).
% 14.09/9.30 tff(4911,plain,
% 14.09/9.30 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB1, constB2)) | (v101(constB2) <=> (~((~v102(constB2)) | (~v1(constB2))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB1, constB2)) | (v101(constB2) <=> (~((~v1(constB2)) | (~v102(constB2))))))),
% 14.09/9.30 inference(transitivity,[status(thm)],[4910, 4908])).
% 14.09/9.30 tff(4912,plain,
% 14.09/9.30 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB1, constB2)) | (v101(constB2) <=> (~((~v102(constB2)) | (~v1(constB2))))))),
% 14.09/9.30 inference(quant_inst,[status(thm)],[])).
% 14.09/9.30 tff(4913,plain,
% 14.09/9.30 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB1, constB2)) | (v101(constB2) <=> (~((~v1(constB2)) | (~v102(constB2)))))),
% 14.09/9.30 inference(modus_ponens,[status(thm)],[4912, 4911])).
% 14.09/9.30 tff(4914,plain,
% 14.09/9.30 (v101(constB2) <=> (~((~v1(constB2)) | (~v102(constB2))))),
% 14.09/9.30 inference(unit_resolution,[status(thm)],[4913, 4903, 450])).
% 14.09/9.30 tff(4915,plain,
% 14.09/9.30 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | ((~nextState(constB1, constB2)) | ((~v102(constB2)) <=> v104(constB2)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | (~nextState(constB1, constB2)) | ((~v102(constB2)) <=> v104(constB2)))),
% 14.09/9.30 inference(rewrite,[status(thm)],[])).
% 14.09/9.30 tff(4916,plain,
% 14.09/9.30 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | ((~nextState(constB1, constB2)) | ((~v102(constB2)) <=> v104(constB2)))),
% 14.09/9.30 inference(quant_inst,[status(thm)],[])).
% 14.09/9.30 tff(4917,plain,
% 14.09/9.30 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | (~nextState(constB1, constB2)) | ((~v102(constB2)) <=> v104(constB2))),
% 14.09/9.30 inference(modus_ponens,[status(thm)],[4916, 4915])).
% 14.09/9.30 tff(4918,plain,
% 14.09/9.30 ((~v102(constB2)) <=> v104(constB2)),
% 14.09/9.30 inference(unit_resolution,[status(thm)],[4917, 4903, 512])).
% 14.09/9.30 tff(4919,plain,
% 14.09/9.30 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB1, constB2)) | (v104(constB2) <=> v1(constB1)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | (~nextState(constB1, constB2)) | (v104(constB2) <=> v1(constB1)))),
% 14.09/9.30 inference(rewrite,[status(thm)],[])).
% 14.09/9.30 tff(4920,plain,
% 14.09/9.30 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB1, constB2)) | (v104(constB2) <=> v1(constB1)))),
% 14.09/9.30 inference(quant_inst,[status(thm)],[])).
% 14.09/9.30 tff(4921,plain,
% 14.09/9.30 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | (~nextState(constB1, constB2)) | (v104(constB2) <=> v1(constB1))),
% 14.09/9.30 inference(modus_ponens,[status(thm)],[4920, 4919])).
% 14.09/9.30 tff(4922,plain,
% 14.09/9.30 (v104(constB2) <=> v1(constB1)),
% 14.09/9.30 inference(unit_resolution,[status(thm)],[4921, 4903, 526])).
% 14.09/9.30 tff(4923,plain,
% 14.09/9.30 ((~v1(constB1)) <=> (~v1(constB1))),
% 14.09/9.30 inference(rewrite,[status(thm)],[])).
% 14.09/9.30 tff(4924,axiom,(~v1(constB1)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_1')).
% 14.09/9.30 tff(4925,plain,
% 14.09/9.30 (~v1(constB1)),
% 14.09/9.30 inference(modus_ponens,[status(thm)],[4924, 4923])).
% 14.09/9.30 tff(4926,plain,
% 14.09/9.30 ((~(v104(constB2) <=> v1(constB1))) | (~v104(constB2)) | v1(constB1)),
% 14.09/9.30 inference(tautology,[status(thm)],[])).
% 14.09/9.30 tff(4927,plain,
% 14.09/9.30 ((~(v104(constB2) <=> v1(constB1))) | (~v104(constB2))),
% 14.09/9.30 inference(unit_resolution,[status(thm)],[4926, 4925])).
% 14.09/9.30 tff(4928,plain,
% 14.09/9.30 (~v104(constB2)),
% 14.09/9.30 inference(unit_resolution,[status(thm)],[4927, 4922])).
% 14.09/9.30 tff(4929,plain,
% 14.09/9.30 ((~((~v102(constB2)) <=> v104(constB2))) | v102(constB2) | v104(constB2)),
% 14.09/9.30 inference(tautology,[status(thm)],[])).
% 14.09/9.30 tff(4930,plain,
% 14.09/9.30 (v102(constB2)),
% 14.09/9.30 inference(unit_resolution,[status(thm)],[4929, 4928, 4918])).
% 14.09/9.30 tff(4931,plain,
% 14.09/9.30 (v1(constB2) <=> v1(constB2)),
% 14.09/9.30 inference(rewrite,[status(thm)],[])).
% 14.09/9.30 tff(4932,axiom,(v1(constB2)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_2')).
% 14.09/9.30 tff(4933,plain,
% 14.09/9.30 (v1(constB2)),
% 14.09/9.30 inference(modus_ponens,[status(thm)],[4932, 4931])).
% 14.09/9.30 tff(4934,plain,
% 14.09/9.30 ((~((~v1(constB2)) | (~v102(constB2)))) | (~v1(constB2)) | (~v102(constB2))),
% 14.09/9.30 inference(tautology,[status(thm)],[])).
% 14.09/9.30 tff(4935,plain,
% 14.09/9.30 ((~((~v1(constB2)) | (~v102(constB2)))) | (~v102(constB2))),
% 14.09/9.30 inference(unit_resolution,[status(thm)],[4934, 4933])).
% 14.09/9.30 tff(4936,plain,
% 14.09/9.30 (~((~v1(constB2)) | (~v102(constB2)))),
% 14.09/9.30 inference(unit_resolution,[status(thm)],[4935, 4930])).
% 14.09/9.30 tff(4937,plain,
% 14.09/9.30 ((~(v101(constB2) <=> (~((~v1(constB2)) | (~v102(constB2)))))) | v101(constB2) | ((~v1(constB2)) | (~v102(constB2)))),
% 14.09/9.30 inference(tautology,[status(thm)],[])).
% 14.09/9.30 tff(4938,plain,
% 14.09/9.30 (v101(constB2)),
% 14.09/9.30 inference(unit_resolution,[status(thm)],[4937, 4936, 4914])).
% 14.09/9.30 tff(4939,plain,
% 14.09/9.30 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | ((~nextState(constB1, constB2)) | (v110(constB2) <=> v108(constB1)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | (~nextState(constB1, constB2)) | (v110(constB2) <=> v108(constB1)))),
% 14.09/9.30 inference(rewrite,[status(thm)],[])).
% 14.09/9.30 tff(4940,plain,
% 14.09/9.30 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | ((~nextState(constB1, constB2)) | (v110(constB2) <=> v108(constB1)))),
% 14.09/9.30 inference(quant_inst,[status(thm)],[])).
% 14.09/9.30 tff(4941,plain,
% 14.09/9.30 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | (~nextState(constB1, constB2)) | (v110(constB2) <=> v108(constB1))),
% 14.09/9.30 inference(modus_ponens,[status(thm)],[4940, 4939])).
% 14.09/9.30 tff(4942,plain,
% 14.09/9.30 (v110(constB2) <=> v108(constB1)),
% 14.09/9.30 inference(unit_resolution,[status(thm)],[4941, 4903, 556])).
% 14.09/9.30 tff(4943,plain,
% 14.09/9.30 ((~![VarCurr: $i] : (v108(VarCurr) <=> (v111(VarCurr) | v112(VarCurr)))) | (v108(constB1) <=> (v111(constB1) | v112(constB1)))),
% 14.09/9.30 inference(quant_inst,[status(thm)],[])).
% 14.09/9.30 tff(4944,plain,
% 14.09/9.30 (v108(constB1) <=> (v111(constB1) | v112(constB1))),
% 14.09/9.30 inference(unit_resolution,[status(thm)],[4943, 567])).
% 14.09/9.30 tff(4945,plain,
% 14.09/9.30 ((~![VarCurr: $i] : (v112(VarCurr) <=> (~((~v113(VarCurr)) | (~v126(VarCurr)))))) | (v112(constB1) <=> (~((~v113(constB1)) | (~v126(constB1)))))),
% 14.09/9.30 inference(quant_inst,[status(thm)],[])).
% 14.09/9.30 tff(4946,plain,
% 14.09/9.30 (v112(constB1) <=> (~((~v113(constB1)) | (~v126(constB1))))),
% 14.09/9.30 inference(unit_resolution,[status(thm)],[4945, 579])).
% 14.09/9.30 tff(4947,plain,
% 14.09/9.30 ((~![VarCurr: $i] : (v113(VarCurr) <=> (v114(VarCurr) | v125(VarCurr)))) | (v113(constB1) <=> (v114(constB1) | v125(constB1)))),
% 14.09/9.30 inference(quant_inst,[status(thm)],[])).
% 14.09/9.30 tff(4948,plain,
% 14.09/9.30 (v113(constB1) <=> (v114(constB1) | v125(constB1))),
% 14.09/9.30 inference(unit_resolution,[status(thm)],[4947, 588])).
% 14.09/9.30 tff(4949,plain,
% 14.09/9.30 ((~![VarCurr: $i] : (v114(VarCurr) <=> (v115(VarCurr) | v124(VarCurr)))) | (v114(constB1) <=> (v115(constB1) | v124(constB1)))),
% 14.09/9.30 inference(quant_inst,[status(thm)],[])).
% 14.09/9.30 tff(4950,plain,
% 14.09/9.30 (v114(constB1) <=> (v115(constB1) | v124(constB1))),
% 14.09/9.30 inference(unit_resolution,[status(thm)],[4949, 597])).
% 14.09/9.30 tff(4951,plain,
% 14.09/9.30 ((~![VarCurr: $i] : (v115(VarCurr) <=> (v116(VarCurr) | v123(VarCurr)))) | (v115(constB1) <=> (v116(constB1) | v123(constB1)))),
% 14.09/9.30 inference(quant_inst,[status(thm)],[])).
% 14.09/9.30 tff(4952,plain,
% 14.09/9.30 (v115(constB1) <=> (v116(constB1) | v123(constB1))),
% 14.09/9.30 inference(unit_resolution,[status(thm)],[4951, 606])).
% 14.09/9.30 tff(4953,plain,
% 14.09/9.30 ((~![VarCurr: $i] : (v116(VarCurr) <=> (v117(VarCurr) | v122(VarCurr)))) | (v116(constB1) <=> (v117(constB1) | v122(constB1)))),
% 14.09/9.30 inference(quant_inst,[status(thm)],[])).
% 14.09/9.30 tff(4954,plain,
% 14.09/9.30 (v116(constB1) <=> (v117(constB1) | v122(constB1))),
% 14.09/9.30 inference(unit_resolution,[status(thm)],[4953, 719])).
% 14.09/9.30 tff(4955,plain,
% 14.09/9.30 ((~![VarCurr: $i] : (v117(VarCurr) <=> (v118(VarCurr) | v121(VarCurr)))) | (v117(constB1) <=> (v118(constB1) | v121(constB1)))),
% 14.09/9.30 inference(quant_inst,[status(thm)],[])).
% 14.09/9.30 tff(4956,plain,
% 14.09/9.30 (v117(constB1) <=> (v118(constB1) | v121(constB1))),
% 14.09/9.30 inference(unit_resolution,[status(thm)],[4955, 834])).
% 14.09/9.30 tff(4957,plain,
% 14.09/9.30 ((~![VarCurr: $i] : (v118(VarCurr) <=> (v119(VarCurr) | v120(VarCurr)))) | (v118(constB1) <=> (v119(constB1) | v120(constB1)))),
% 14.09/9.30 inference(quant_inst,[status(thm)],[])).
% 14.09/9.30 tff(4958,plain,
% 14.09/9.30 (v118(constB1) <=> (v119(constB1) | v120(constB1))),
% 14.09/9.30 inference(unit_resolution,[status(thm)],[4957, 951])).
% 14.09/9.30 tff(4959,plain,
% 14.09/9.30 (^[VarCurr: $i] : refl((v119(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2)))) <=> (v119(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2)))))),
% 14.09/9.30 inference(bind,[status(th)],[])).
% 14.09/9.30 tff(4960,plain,
% 14.09/9.30 (![VarCurr: $i] : (v119(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2)))) <=> ![VarCurr: $i] : (v119(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))))),
% 14.09/9.30 inference(quant_intro,[status(thm)],[4959])).
% 14.09/9.30 tff(4961,plain,
% 14.09/9.30 (^[VarCurr: $i] : rewrite((v119(VarCurr) <=> ((~v90(VarCurr, bitIndex2)) & (~v90(VarCurr, bitIndex1)) & (~v90(VarCurr, bitIndex0)))) <=> (v119(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2)))))),
% 14.09/9.30 inference(bind,[status(th)],[])).
% 14.09/9.30 tff(4962,plain,
% 14.09/9.30 (![VarCurr: $i] : (v119(VarCurr) <=> ((~v90(VarCurr, bitIndex2)) & (~v90(VarCurr, bitIndex1)) & (~v90(VarCurr, bitIndex0)))) <=> ![VarCurr: $i] : (v119(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))))),
% 14.09/9.30 inference(quant_intro,[status(thm)],[4961])).
% 14.09/9.30 tff(4963,plain,
% 14.09/9.30 (![VarCurr: $i] : (v119(VarCurr) <=> ((~v90(VarCurr, bitIndex2)) & (~v90(VarCurr, bitIndex1)) & (~v90(VarCurr, bitIndex0)))) <=> ![VarCurr: $i] : (v119(VarCurr) <=> ((~v90(VarCurr, bitIndex2)) & (~v90(VarCurr, bitIndex1)) & (~v90(VarCurr, bitIndex0))))),
% 14.09/9.30 inference(rewrite,[status(thm)],[])).
% 14.09/9.30 tff(4964,plain,
% 14.09/9.30 (^[VarCurr: $i] : rewrite((v119(VarCurr) <=> (((v90(VarCurr, bitIndex2) <=> $false) & (v90(VarCurr, bitIndex1) <=> $false)) & (v90(VarCurr, bitIndex0) <=> $false))) <=> (v119(VarCurr) <=> ((~v90(VarCurr, bitIndex2)) & (~v90(VarCurr, bitIndex1)) & (~v90(VarCurr, bitIndex0)))))),
% 14.09/9.30 inference(bind,[status(th)],[])).
% 14.09/9.30 tff(4965,plain,
% 14.09/9.30 (![VarCurr: $i] : (v119(VarCurr) <=> (((v90(VarCurr, bitIndex2) <=> $false) & (v90(VarCurr, bitIndex1) <=> $false)) & (v90(VarCurr, bitIndex0) <=> $false))) <=> ![VarCurr: $i] : (v119(VarCurr) <=> ((~v90(VarCurr, bitIndex2)) & (~v90(VarCurr, bitIndex1)) & (~v90(VarCurr, bitIndex0))))),
% 14.09/9.30 inference(quant_intro,[status(thm)],[4964])).
% 14.09/9.30 tff(4966,axiom,(![VarCurr: $i] : (v119(VarCurr) <=> (((v90(VarCurr, bitIndex2) <=> $false) & (v90(VarCurr, bitIndex1) <=> $false)) & (v90(VarCurr, bitIndex0) <=> $false)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','addBitVectorEqualityBitBlasted_2')).
% 14.09/9.30 tff(4967,plain,
% 14.09/9.30 (![VarCurr: $i] : (v119(VarCurr) <=> ((~v90(VarCurr, bitIndex2)) & (~v90(VarCurr, bitIndex1)) & (~v90(VarCurr, bitIndex0))))),
% 14.09/9.30 inference(modus_ponens,[status(thm)],[4966, 4965])).
% 14.09/9.30 tff(4968,plain,
% 14.09/9.30 (![VarCurr: $i] : (v119(VarCurr) <=> ((~v90(VarCurr, bitIndex2)) & (~v90(VarCurr, bitIndex1)) & (~v90(VarCurr, bitIndex0))))),
% 14.09/9.30 inference(modus_ponens,[status(thm)],[4967, 4963])).
% 14.09/9.30 tff(4969,plain,(
% 14.09/9.30 ![VarCurr: $i] : (v119(VarCurr) <=> ((~v90(VarCurr, bitIndex2)) & (~v90(VarCurr, bitIndex1)) & (~v90(VarCurr, bitIndex0))))),
% 14.09/9.30 inference(skolemize,[status(sab)],[4968])).
% 14.09/9.30 tff(4970,plain,
% 14.09/9.30 (![VarCurr: $i] : (v119(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))))),
% 14.09/9.30 inference(modus_ponens,[status(thm)],[4969, 4962])).
% 14.09/9.30 tff(4971,plain,
% 14.09/9.30 (![VarCurr: $i] : (v119(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))))),
% 14.09/9.30 inference(modus_ponens,[status(thm)],[4970, 4960])).
% 14.09/9.30 tff(4972,plain,
% 14.09/9.30 ((~![VarCurr: $i] : (v119(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))))) | (v119(constB1) <=> (~(v90(constB1, bitIndex0) | v90(constB1, bitIndex1) | v90(constB1, bitIndex2))))),
% 14.09/9.30 inference(quant_inst,[status(thm)],[])).
% 14.09/9.30 tff(4973,plain,
% 14.09/9.30 (v119(constB1) <=> (~(v90(constB1, bitIndex0) | v90(constB1, bitIndex1) | v90(constB1, bitIndex2)))),
% 14.09/9.30 inference(unit_resolution,[status(thm)],[4972, 4971])).
% 14.09/9.30 tff(4974,plain,
% 14.09/9.30 (nextState(constB0, constB1) <=> nextState(constB0, constB1)),
% 14.09/9.30 inference(rewrite,[status(thm)],[])).
% 14.09/9.30 tff(4975,axiom,(nextState(constB0, constB1)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom')).
% 14.09/9.30 tff(4976,plain,
% 14.09/9.30 (nextState(constB0, constB1)),
% 14.09/9.30 inference(modus_ponens,[status(thm)],[4975, 4974])).
% 14.09/9.30 tff(4977,plain,
% 14.09/9.30 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB0, constB1)) | (v100(constB1) <=> (~((~v101(constB1)) | (~v110(constB1))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB0, constB1)) | (v100(constB1) <=> (~((~v101(constB1)) | (~v110(constB1))))))),
% 14.09/9.30 inference(rewrite,[status(thm)],[])).
% 14.09/9.30 tff(4978,plain,
% 14.09/9.30 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB0, constB1)) | (v100(constB1) <=> (~((~v101(constB1)) | (~v110(constB1))))))),
% 14.09/9.30 inference(quant_inst,[status(thm)],[])).
% 14.09/9.30 tff(4979,plain,
% 14.09/9.30 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB0, constB1)) | (v100(constB1) <=> (~((~v101(constB1)) | (~v110(constB1)))))),
% 14.09/9.30 inference(modus_ponens,[status(thm)],[4978, 4977])).
% 14.09/9.30 tff(4980,plain,
% 14.09/9.30 (v100(constB1) <=> (~((~v101(constB1)) | (~v110(constB1))))),
% 14.09/9.30 inference(unit_resolution,[status(thm)],[4979, 4976, 430])).
% 14.09/9.30 tff(4981,plain,
% 14.09/9.30 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB0, constB1)) | (v101(constB1) <=> (~((~v1(constB1)) | (~v102(constB1))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB0, constB1)) | (v101(constB1) <=> (~((~v1(constB1)) | (~v102(constB1))))))),
% 14.09/9.30 inference(rewrite,[status(thm)],[])).
% 14.09/9.30 tff(4982,plain,
% 14.09/9.30 (((~nextState(constB0, constB1)) | (v101(constB1) <=> (~((~v102(constB1)) | (~v1(constB1)))))) <=> ((~nextState(constB0, constB1)) | (v101(constB1) <=> (~((~v1(constB1)) | (~v102(constB1))))))),
% 14.09/9.30 inference(rewrite,[status(thm)],[])).
% 14.09/9.30 tff(4983,plain,
% 14.09/9.30 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB0, constB1)) | (v101(constB1) <=> (~((~v102(constB1)) | (~v1(constB1))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB0, constB1)) | (v101(constB1) <=> (~((~v1(constB1)) | (~v102(constB1)))))))),
% 14.09/9.30 inference(monotonicity,[status(thm)],[4982])).
% 14.09/9.30 tff(4984,plain,
% 14.09/9.30 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB0, constB1)) | (v101(constB1) <=> (~((~v102(constB1)) | (~v1(constB1))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB0, constB1)) | (v101(constB1) <=> (~((~v1(constB1)) | (~v102(constB1))))))),
% 14.09/9.30 inference(transitivity,[status(thm)],[4983, 4981])).
% 14.09/9.30 tff(4985,plain,
% 14.09/9.30 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB0, constB1)) | (v101(constB1) <=> (~((~v102(constB1)) | (~v1(constB1))))))),
% 14.09/9.30 inference(quant_inst,[status(thm)],[])).
% 14.09/9.30 tff(4986,plain,
% 14.09/9.30 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB0, constB1)) | (v101(constB1) <=> (~((~v1(constB1)) | (~v102(constB1)))))),
% 14.09/9.30 inference(modus_ponens,[status(thm)],[4985, 4984])).
% 14.09/9.30 tff(4987,plain,
% 14.09/9.30 (v101(constB1) <=> (~((~v1(constB1)) | (~v102(constB1))))),
% 14.09/9.30 inference(unit_resolution,[status(thm)],[4986, 4976, 450])).
% 14.09/9.30 tff(4988,plain,
% 14.09/9.30 (((~v1(constB1)) | (~v102(constB1))) | v1(constB1)),
% 14.09/9.30 inference(tautology,[status(thm)],[])).
% 14.09/9.30 tff(4989,plain,
% 14.09/9.30 ((~v1(constB1)) | (~v102(constB1))),
% 14.09/9.30 inference(unit_resolution,[status(thm)],[4988, 4925])).
% 14.09/9.30 tff(4990,plain,
% 14.09/9.30 ((~(v101(constB1) <=> (~((~v1(constB1)) | (~v102(constB1)))))) | (~v101(constB1)) | (~((~v1(constB1)) | (~v102(constB1))))),
% 14.09/9.30 inference(tautology,[status(thm)],[])).
% 14.09/9.30 tff(4991,plain,
% 14.09/9.30 ((~(v101(constB1) <=> (~((~v1(constB1)) | (~v102(constB1)))))) | (~v101(constB1))),
% 14.09/9.30 inference(unit_resolution,[status(thm)],[4990, 4989])).
% 14.09/9.30 tff(4992,plain,
% 14.09/9.30 (~v101(constB1)),
% 14.09/9.30 inference(unit_resolution,[status(thm)],[4991, 4987])).
% 14.09/9.30 tff(4993,plain,
% 14.09/9.30 (((~v101(constB1)) | (~v110(constB1))) | v101(constB1)),
% 14.09/9.30 inference(tautology,[status(thm)],[])).
% 14.09/9.30 tff(4994,plain,
% 14.09/9.30 ((~v101(constB1)) | (~v110(constB1))),
% 14.09/9.30 inference(unit_resolution,[status(thm)],[4993, 4992])).
% 14.09/9.30 tff(4995,plain,
% 14.09/9.30 ((~(v100(constB1) <=> (~((~v101(constB1)) | (~v110(constB1)))))) | (~v100(constB1)) | (~((~v101(constB1)) | (~v110(constB1))))),
% 14.09/9.30 inference(tautology,[status(thm)],[])).
% 14.09/9.30 tff(4996,plain,
% 14.09/9.30 (~v100(constB1)),
% 14.09/9.30 inference(unit_resolution,[status(thm)],[4995, 4994, 4980])).
% 14.09/9.30 tff(4997,plain,
% 14.09/9.30 (((~![VarCurr: $i, VarNext: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v90(VarCurr, B))))) | (v100(constB1) | (~nextState(constB0, constB1)) | ![B: $i] : ((~less_3(B)) | (v90(constB1, B) <=> v90(constB0, B))))) <=> ((~![VarCurr: $i, VarNext: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v90(VarCurr, B))))) | v100(constB1) | (~nextState(constB0, constB1)) | ![B: $i] : ((~less_3(B)) | (v90(constB1, B) <=> v90(constB0, B))))),
% 14.09/9.30 inference(rewrite,[status(thm)],[])).
% 14.09/9.30 tff(4998,plain,
% 14.09/9.30 ((~![VarCurr: $i, VarNext: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v90(VarCurr, B))))) | (v100(constB1) | (~nextState(constB0, constB1)) | ![B: $i] : ((~less_3(B)) | (v90(constB1, B) <=> v90(constB0, B))))),
% 14.09/9.30 inference(quant_inst,[status(thm)],[])).
% 14.09/9.30 tff(4999,plain,
% 14.09/9.30 ((~![VarCurr: $i, VarNext: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v90(VarCurr, B))))) | v100(constB1) | (~nextState(constB0, constB1)) | ![B: $i] : ((~less_3(B)) | (v90(constB1, B) <=> v90(constB0, B)))),
% 14.09/9.30 inference(modus_ponens,[status(thm)],[4998, 4997])).
% 14.09/9.30 tff(5000,plain,
% 14.09/9.30 (v100(constB1) | ![B: $i] : ((~less_3(B)) | (v90(constB1, B) <=> v90(constB0, B)))),
% 14.09/9.30 inference(unit_resolution,[status(thm)],[4999, 4976, 479])).
% 14.09/9.30 tff(5001,plain,
% 14.09/9.30 (![B: $i] : ((~less_3(B)) | (v90(constB1, B) <=> v90(constB0, B)))),
% 14.09/9.30 inference(unit_resolution,[status(thm)],[5000, 4996])).
% 14.09/9.30 tff(5002,plain,
% 14.09/9.30 (less_3(bitIndex0) <=> less_3(bitIndex0)),
% 14.09/9.30 inference(rewrite,[status(thm)],[])).
% 14.09/9.30 tff(5003,axiom,(less_3(bitIndex0)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','lessPredicateGroundAxiom_3')).
% 14.09/9.30 tff(5004,plain,
% 14.09/9.30 (less_3(bitIndex0)),
% 14.09/9.30 inference(modus_ponens,[status(thm)],[5003, 5002])).
% 14.09/9.30 tff(5005,plain,
% 14.09/9.30 (((~![B: $i] : ((~less_3(B)) | (v90(constB1, B) <=> v90(constB0, B)))) | ((~less_3(bitIndex0)) | (v90(constB1, bitIndex0) <=> v90(constB0, bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v90(constB1, B) <=> v90(constB0, B)))) | (~less_3(bitIndex0)) | (v90(constB1, bitIndex0) <=> v90(constB0, bitIndex0)))),
% 14.09/9.30 inference(rewrite,[status(thm)],[])).
% 14.09/9.30 tff(5006,plain,
% 14.09/9.30 ((~![B: $i] : ((~less_3(B)) | (v90(constB1, B) <=> v90(constB0, B)))) | ((~less_3(bitIndex0)) | (v90(constB1, bitIndex0) <=> v90(constB0, bitIndex0)))),
% 14.09/9.30 inference(quant_inst,[status(thm)],[])).
% 14.09/9.30 tff(5007,plain,
% 14.09/9.30 ((~![B: $i] : ((~less_3(B)) | (v90(constB1, B) <=> v90(constB0, B)))) | (~less_3(bitIndex0)) | (v90(constB1, bitIndex0) <=> v90(constB0, bitIndex0))),
% 14.09/9.30 inference(modus_ponens,[status(thm)],[5006, 5005])).
% 14.09/9.30 tff(5008,plain,
% 14.09/9.30 (v90(constB1, bitIndex0) <=> v90(constB0, bitIndex0)),
% 14.09/9.30 inference(unit_resolution,[status(thm)],[5007, 5004, 5001])).
% 14.09/9.30 tff(5009,plain,
% 14.09/9.30 ((~v90(constB0, bitIndex0)) <=> (~v90(constB0, bitIndex0))),
% 14.09/9.30 inference(rewrite,[status(thm)],[])).
% 14.09/9.30 tff(5010,axiom,(~v90(constB0, bitIndex0)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','addAssignmentInitValue_2')).
% 14.09/9.30 tff(5011,plain,
% 14.09/9.30 (~v90(constB0, bitIndex0)),
% 14.09/9.30 inference(modus_ponens,[status(thm)],[5010, 5009])).
% 14.09/9.30 tff(5012,plain,
% 14.09/9.30 ((~(v90(constB1, bitIndex0) <=> v90(constB0, bitIndex0))) | (~v90(constB1, bitIndex0)) | v90(constB0, bitIndex0)),
% 14.09/9.30 inference(tautology,[status(thm)],[])).
% 14.09/9.30 tff(5013,plain,
% 14.09/9.30 ((~(v90(constB1, bitIndex0) <=> v90(constB0, bitIndex0))) | (~v90(constB1, bitIndex0))),
% 14.09/9.30 inference(unit_resolution,[status(thm)],[5012, 5011])).
% 14.09/9.30 tff(5014,plain,
% 14.09/9.30 (~v90(constB1, bitIndex0)),
% 14.09/9.30 inference(unit_resolution,[status(thm)],[5013, 5008])).
% 14.09/9.30 tff(5015,plain,
% 14.09/9.30 (less_3(bitIndex1) <=> less_3(bitIndex1)),
% 14.09/9.30 inference(rewrite,[status(thm)],[])).
% 14.09/9.30 tff(5016,axiom,(less_3(bitIndex1)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','lessPredicateGroundAxiom_4')).
% 14.09/9.30 tff(5017,plain,
% 14.09/9.30 (less_3(bitIndex1)),
% 14.09/9.30 inference(modus_ponens,[status(thm)],[5016, 5015])).
% 14.09/9.30 tff(5018,plain,
% 14.09/9.30 (((~![B: $i] : ((~less_3(B)) | (v90(constB1, B) <=> v90(constB0, B)))) | ((~less_3(bitIndex1)) | (v90(constB1, bitIndex1) <=> v90(constB0, bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v90(constB1, B) <=> v90(constB0, B)))) | (~less_3(bitIndex1)) | (v90(constB1, bitIndex1) <=> v90(constB0, bitIndex1)))),
% 14.09/9.30 inference(rewrite,[status(thm)],[])).
% 14.09/9.30 tff(5019,plain,
% 14.09/9.30 ((~![B: $i] : ((~less_3(B)) | (v90(constB1, B) <=> v90(constB0, B)))) | ((~less_3(bitIndex1)) | (v90(constB1, bitIndex1) <=> v90(constB0, bitIndex1)))),
% 14.09/9.30 inference(quant_inst,[status(thm)],[])).
% 14.09/9.30 tff(5020,plain,
% 14.09/9.30 ((~![B: $i] : ((~less_3(B)) | (v90(constB1, B) <=> v90(constB0, B)))) | (~less_3(bitIndex1)) | (v90(constB1, bitIndex1) <=> v90(constB0, bitIndex1))),
% 14.09/9.30 inference(modus_ponens,[status(thm)],[5019, 5018])).
% 14.09/9.30 tff(5021,plain,
% 14.09/9.30 (v90(constB1, bitIndex1) <=> v90(constB0, bitIndex1)),
% 14.09/9.30 inference(unit_resolution,[status(thm)],[5020, 5017, 5001])).
% 14.09/9.30 tff(5022,plain,
% 14.09/9.30 ((~v90(constB0, bitIndex1)) <=> (~v90(constB0, bitIndex1))),
% 14.09/9.30 inference(rewrite,[status(thm)],[])).
% 14.09/9.30 tff(5023,axiom,(~v90(constB0, bitIndex1)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','addAssignmentInitValue_3')).
% 14.09/9.30 tff(5024,plain,
% 14.09/9.30 (~v90(constB0, bitIndex1)),
% 14.09/9.30 inference(modus_ponens,[status(thm)],[5023, 5022])).
% 14.09/9.30 tff(5025,plain,
% 14.09/9.30 ((~(v90(constB1, bitIndex1) <=> v90(constB0, bitIndex1))) | (~v90(constB1, bitIndex1)) | v90(constB0, bitIndex1)),
% 14.09/9.30 inference(tautology,[status(thm)],[])).
% 14.09/9.30 tff(5026,plain,
% 14.09/9.30 ((~(v90(constB1, bitIndex1) <=> v90(constB0, bitIndex1))) | (~v90(constB1, bitIndex1))),
% 14.09/9.30 inference(unit_resolution,[status(thm)],[5025, 5024])).
% 14.09/9.30 tff(5027,plain,
% 14.09/9.30 (~v90(constB1, bitIndex1)),
% 14.09/9.30 inference(unit_resolution,[status(thm)],[5026, 5021])).
% 14.09/9.30 tff(5028,plain,
% 14.09/9.30 (((~![B: $i] : ((~less_3(B)) | (v90(constB1, B) <=> v90(constB0, B)))) | ((~less_3(bitIndex2)) | (v90(constB1, bitIndex2) <=> v90(constB0, bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v90(constB1, B) <=> v90(constB0, B)))) | (~less_3(bitIndex2)) | (v90(constB1, bitIndex2) <=> v90(constB0, bitIndex2)))),
% 14.09/9.30 inference(rewrite,[status(thm)],[])).
% 14.09/9.30 tff(5029,plain,
% 14.09/9.30 ((~![B: $i] : ((~less_3(B)) | (v90(constB1, B) <=> v90(constB0, B)))) | ((~less_3(bitIndex2)) | (v90(constB1, bitIndex2) <=> v90(constB0, bitIndex2)))),
% 14.09/9.30 inference(quant_inst,[status(thm)],[])).
% 14.09/9.30 tff(5030,plain,
% 14.09/9.30 ((~![B: $i] : ((~less_3(B)) | (v90(constB1, B) <=> v90(constB0, B)))) | (~less_3(bitIndex2)) | (v90(constB1, bitIndex2) <=> v90(constB0, bitIndex2))),
% 14.09/9.30 inference(modus_ponens,[status(thm)],[5029, 5028])).
% 14.09/9.30 tff(5031,plain,
% 14.09/9.30 (v90(constB1, bitIndex2) <=> v90(constB0, bitIndex2)),
% 14.09/9.30 inference(unit_resolution,[status(thm)],[5030, 413, 5001])).
% 14.09/9.31 tff(5032,plain,
% 14.09/9.31 ((~v90(constB0, bitIndex2)) <=> (~v90(constB0, bitIndex2))),
% 14.09/9.31 inference(rewrite,[status(thm)],[])).
% 14.09/9.31 tff(5033,axiom,(~v90(constB0, bitIndex2)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','addAssignmentInitValue_4')).
% 14.09/9.31 tff(5034,plain,
% 14.09/9.31 (~v90(constB0, bitIndex2)),
% 14.09/9.31 inference(modus_ponens,[status(thm)],[5033, 5032])).
% 14.09/9.31 tff(5035,plain,
% 14.09/9.31 ((~(v90(constB1, bitIndex2) <=> v90(constB0, bitIndex2))) | (~v90(constB1, bitIndex2)) | v90(constB0, bitIndex2)),
% 14.09/9.31 inference(tautology,[status(thm)],[])).
% 14.09/9.31 tff(5036,plain,
% 14.09/9.31 ((~(v90(constB1, bitIndex2) <=> v90(constB0, bitIndex2))) | (~v90(constB1, bitIndex2))),
% 14.09/9.31 inference(unit_resolution,[status(thm)],[5035, 5034])).
% 14.09/9.31 tff(5037,plain,
% 14.09/9.31 (~v90(constB1, bitIndex2)),
% 14.09/9.31 inference(unit_resolution,[status(thm)],[5036, 5031])).
% 14.09/9.31 tff(5038,plain,
% 14.09/9.31 ((~(v90(constB1, bitIndex0) | v90(constB1, bitIndex1) | v90(constB1, bitIndex2))) | v90(constB1, bitIndex0) | v90(constB1, bitIndex1) | v90(constB1, bitIndex2)),
% 14.09/9.31 inference(tautology,[status(thm)],[])).
% 14.09/9.31 tff(5039,plain,
% 14.09/9.31 (~(v90(constB1, bitIndex0) | v90(constB1, bitIndex1) | v90(constB1, bitIndex2))),
% 14.09/9.31 inference(unit_resolution,[status(thm)],[5038, 5037, 5027, 5014])).
% 14.09/9.31 tff(5040,plain,
% 14.09/9.31 ((~(v119(constB1) <=> (~(v90(constB1, bitIndex0) | v90(constB1, bitIndex1) | v90(constB1, bitIndex2))))) | v119(constB1) | (v90(constB1, bitIndex0) | v90(constB1, bitIndex1) | v90(constB1, bitIndex2))),
% 14.09/9.31 inference(tautology,[status(thm)],[])).
% 14.09/9.31 tff(5041,plain,
% 14.09/9.31 ((~(v119(constB1) <=> (~(v90(constB1, bitIndex0) | v90(constB1, bitIndex1) | v90(constB1, bitIndex2))))) | v119(constB1)),
% 14.09/9.31 inference(unit_resolution,[status(thm)],[5040, 5039])).
% 14.09/9.31 tff(5042,plain,
% 14.09/9.31 (v119(constB1)),
% 14.09/9.31 inference(unit_resolution,[status(thm)],[5041, 4973])).
% 14.09/9.31 tff(5043,plain,
% 14.09/9.31 ((v119(constB1) | v120(constB1)) | (~v119(constB1))),
% 14.09/9.31 inference(tautology,[status(thm)],[])).
% 14.09/9.31 tff(5044,plain,
% 14.09/9.31 (v119(constB1) | v120(constB1)),
% 14.09/9.31 inference(unit_resolution,[status(thm)],[5043, 5042])).
% 14.09/9.31 tff(5045,plain,
% 14.09/9.31 ((~(v118(constB1) <=> (v119(constB1) | v120(constB1)))) | v118(constB1) | (~(v119(constB1) | v120(constB1)))),
% 14.09/9.31 inference(tautology,[status(thm)],[])).
% 14.09/9.31 tff(5046,plain,
% 14.09/9.31 ((~(v118(constB1) <=> (v119(constB1) | v120(constB1)))) | v118(constB1)),
% 14.09/9.31 inference(unit_resolution,[status(thm)],[5045, 5044])).
% 14.09/9.31 tff(5047,plain,
% 14.09/9.31 (v118(constB1)),
% 14.09/9.31 inference(unit_resolution,[status(thm)],[5046, 4958])).
% 14.09/9.31 tff(5048,plain,
% 14.09/9.31 ((v118(constB1) | v121(constB1)) | (~v118(constB1))),
% 14.09/9.31 inference(tautology,[status(thm)],[])).
% 14.09/9.31 tff(5049,plain,
% 14.09/9.31 (v118(constB1) | v121(constB1)),
% 14.09/9.31 inference(unit_resolution,[status(thm)],[5048, 5047])).
% 14.09/9.31 tff(5050,plain,
% 14.09/9.31 ((~(v117(constB1) <=> (v118(constB1) | v121(constB1)))) | v117(constB1) | (~(v118(constB1) | v121(constB1)))),
% 14.09/9.31 inference(tautology,[status(thm)],[])).
% 14.09/9.31 tff(5051,plain,
% 14.09/9.31 (v117(constB1)),
% 14.09/9.31 inference(unit_resolution,[status(thm)],[5050, 5049, 4956])).
% 14.09/9.31 tff(5052,plain,
% 14.09/9.31 ((v117(constB1) | v122(constB1)) | (~v117(constB1))),
% 14.09/9.31 inference(tautology,[status(thm)],[])).
% 14.09/9.31 tff(5053,plain,
% 14.09/9.31 (v117(constB1) | v122(constB1)),
% 14.09/9.31 inference(unit_resolution,[status(thm)],[5052, 5051])).
% 14.09/9.31 tff(5054,plain,
% 14.09/9.31 ((~(v116(constB1) <=> (v117(constB1) | v122(constB1)))) | v116(constB1) | (~(v117(constB1) | v122(constB1)))),
% 14.09/9.31 inference(tautology,[status(thm)],[])).
% 14.09/9.31 tff(5055,plain,
% 14.09/9.31 (v116(constB1)),
% 14.09/9.31 inference(unit_resolution,[status(thm)],[5054, 5053, 4954])).
% 14.09/9.31 tff(5056,plain,
% 14.09/9.31 ((v116(constB1) | v123(constB1)) | (~v116(constB1))),
% 14.09/9.31 inference(tautology,[status(thm)],[])).
% 14.09/9.31 tff(5057,plain,
% 14.09/9.31 (v116(constB1) | v123(constB1)),
% 14.09/9.31 inference(unit_resolution,[status(thm)],[5056, 5055])).
% 14.09/9.31 tff(5058,plain,
% 14.09/9.31 ((~(v115(constB1) <=> (v116(constB1) | v123(constB1)))) | v115(constB1) | (~(v116(constB1) | v123(constB1)))),
% 14.09/9.31 inference(tautology,[status(thm)],[])).
% 14.09/9.31 tff(5059,plain,
% 14.09/9.31 (v115(constB1)),
% 14.09/9.31 inference(unit_resolution,[status(thm)],[5058, 5057, 4952])).
% 14.09/9.31 tff(5060,plain,
% 14.09/9.31 ((v115(constB1) | v124(constB1)) | (~v115(constB1))),
% 14.09/9.31 inference(tautology,[status(thm)],[])).
% 14.09/9.31 tff(5061,plain,
% 14.09/9.31 (v115(constB1) | v124(constB1)),
% 14.09/9.31 inference(unit_resolution,[status(thm)],[5060, 5059])).
% 14.09/9.31 tff(5062,plain,
% 14.09/9.31 ((~(v114(constB1) <=> (v115(constB1) | v124(constB1)))) | v114(constB1) | (~(v115(constB1) | v124(constB1)))),
% 14.09/9.31 inference(tautology,[status(thm)],[])).
% 14.09/9.31 tff(5063,plain,
% 14.09/9.31 (v114(constB1)),
% 14.09/9.31 inference(unit_resolution,[status(thm)],[5062, 5061, 4950])).
% 14.09/9.31 tff(5064,plain,
% 14.09/9.31 ((v114(constB1) | v125(constB1)) | (~v114(constB1))),
% 14.09/9.31 inference(tautology,[status(thm)],[])).
% 14.09/9.31 tff(5065,plain,
% 14.09/9.31 (v114(constB1) | v125(constB1)),
% 14.09/9.31 inference(unit_resolution,[status(thm)],[5064, 5063])).
% 14.09/9.31 tff(5066,plain,
% 14.09/9.31 ((~(v113(constB1) <=> (v114(constB1) | v125(constB1)))) | v113(constB1) | (~(v114(constB1) | v125(constB1)))),
% 14.09/9.31 inference(tautology,[status(thm)],[])).
% 14.09/9.31 tff(5067,plain,
% 14.09/9.31 (v113(constB1)),
% 14.09/9.31 inference(unit_resolution,[status(thm)],[5066, 5065, 4948])).
% 14.09/9.31 tff(5068,plain,
% 14.09/9.31 (^[VarCurr: $i] : refl(((~v126(VarCurr)) <=> v111(VarCurr)) <=> ((~v126(VarCurr)) <=> v111(VarCurr)))),
% 14.09/9.31 inference(bind,[status(th)],[])).
% 14.09/9.31 tff(5069,plain,
% 14.09/9.31 (![VarCurr: $i] : ((~v126(VarCurr)) <=> v111(VarCurr)) <=> ![VarCurr: $i] : ((~v126(VarCurr)) <=> v111(VarCurr))),
% 14.09/9.31 inference(quant_intro,[status(thm)],[5068])).
% 14.09/9.31 tff(5070,plain,
% 14.09/9.31 (![VarCurr: $i] : ((~v126(VarCurr)) <=> v111(VarCurr)) <=> ![VarCurr: $i] : ((~v126(VarCurr)) <=> v111(VarCurr))),
% 14.09/9.31 inference(rewrite,[status(thm)],[])).
% 14.09/9.31 tff(5071,axiom,(![VarCurr: $i] : ((~v126(VarCurr)) <=> v111(VarCurr))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','writeUnaryOperator_13')).
% 14.09/9.31 tff(5072,plain,
% 14.09/9.31 (![VarCurr: $i] : ((~v126(VarCurr)) <=> v111(VarCurr))),
% 14.09/9.31 inference(modus_ponens,[status(thm)],[5071, 5070])).
% 14.09/9.31 tff(5073,plain,(
% 14.09/9.31 ![VarCurr: $i] : ((~v126(VarCurr)) <=> v111(VarCurr))),
% 14.09/9.31 inference(skolemize,[status(sab)],[5072])).
% 14.09/9.31 tff(5074,plain,
% 14.09/9.31 (![VarCurr: $i] : ((~v126(VarCurr)) <=> v111(VarCurr))),
% 14.09/9.31 inference(modus_ponens,[status(thm)],[5073, 5069])).
% 14.09/9.31 tff(5075,plain,
% 14.09/9.31 ((~![VarCurr: $i] : ((~v126(VarCurr)) <=> v111(VarCurr))) | ((~v126(constB1)) <=> v111(constB1))),
% 14.09/9.31 inference(quant_inst,[status(thm)],[])).
% 14.09/9.31 tff(5076,plain,
% 14.09/9.31 ((~v126(constB1)) <=> v111(constB1)),
% 14.09/9.31 inference(unit_resolution,[status(thm)],[5075, 5074])).
% 14.09/9.31 tff(5077,plain,
% 14.09/9.31 (^[VarCurr: $i] : refl((v111(VarCurr) <=> v26(VarCurr)) <=> (v111(VarCurr) <=> v26(VarCurr)))),
% 14.09/9.31 inference(bind,[status(th)],[])).
% 14.09/9.31 tff(5078,plain,
% 14.09/9.31 (![VarCurr: $i] : (v111(VarCurr) <=> v26(VarCurr)) <=> ![VarCurr: $i] : (v111(VarCurr) <=> v26(VarCurr))),
% 14.09/9.31 inference(quant_intro,[status(thm)],[5077])).
% 14.09/9.31 tff(5079,plain,
% 14.09/9.31 (![VarCurr: $i] : (v111(VarCurr) <=> v26(VarCurr)) <=> ![VarCurr: $i] : (v111(VarCurr) <=> v26(VarCurr))),
% 14.09/9.31 inference(rewrite,[status(thm)],[])).
% 14.09/9.31 tff(5080,plain,
% 14.09/9.31 (^[VarCurr: $i] : rewrite((v111(VarCurr) <=> (v26(VarCurr) <=> $true)) <=> (v111(VarCurr) <=> v26(VarCurr)))),
% 14.09/9.31 inference(bind,[status(th)],[])).
% 14.09/9.31 tff(5081,plain,
% 14.09/9.31 (![VarCurr: $i] : (v111(VarCurr) <=> (v26(VarCurr) <=> $true)) <=> ![VarCurr: $i] : (v111(VarCurr) <=> v26(VarCurr))),
% 14.09/9.31 inference(quant_intro,[status(thm)],[5080])).
% 14.09/9.31 tff(5082,axiom,(![VarCurr: $i] : (v111(VarCurr) <=> (v26(VarCurr) <=> $true))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','addBitVectorEqualityBitBlasted_1')).
% 14.09/9.31 tff(5083,plain,
% 14.09/9.31 (![VarCurr: $i] : (v111(VarCurr) <=> v26(VarCurr))),
% 14.09/9.31 inference(modus_ponens,[status(thm)],[5082, 5081])).
% 14.09/9.31 tff(5084,plain,
% 14.09/9.31 (![VarCurr: $i] : (v111(VarCurr) <=> v26(VarCurr))),
% 14.09/9.31 inference(modus_ponens,[status(thm)],[5083, 5079])).
% 14.09/9.31 tff(5085,plain,(
% 14.09/9.31 ![VarCurr: $i] : (v111(VarCurr) <=> v26(VarCurr))),
% 14.09/9.31 inference(skolemize,[status(sab)],[5084])).
% 14.09/9.31 tff(5086,plain,
% 14.09/9.31 (![VarCurr: $i] : (v111(VarCurr) <=> v26(VarCurr))),
% 14.09/9.31 inference(modus_ponens,[status(thm)],[5085, 5078])).
% 14.09/9.31 tff(5087,plain,
% 14.09/9.31 ((~![VarCurr: $i] : (v111(VarCurr) <=> v26(VarCurr))) | (v111(constB1) <=> v26(constB1))),
% 14.09/9.31 inference(quant_inst,[status(thm)],[])).
% 14.09/9.31 tff(5088,plain,
% 14.09/9.31 (v111(constB1) <=> v26(constB1)),
% 14.09/9.31 inference(unit_resolution,[status(thm)],[5087, 5086])).
% 14.09/9.31 tff(5089,plain,
% 14.09/9.31 (^[VarCurr: $i] : refl((~v26(VarCurr)) <=> (~v26(VarCurr)))),
% 14.09/9.31 inference(bind,[status(th)],[])).
% 14.09/9.31 tff(5090,plain,
% 14.09/9.31 (![VarCurr: $i] : (~v26(VarCurr)) <=> ![VarCurr: $i] : (~v26(VarCurr))),
% 14.09/9.31 inference(quant_intro,[status(thm)],[5089])).
% 14.09/9.31 tff(5091,plain,
% 14.09/9.31 (![VarCurr: $i] : (~v26(VarCurr)) <=> ![VarCurr: $i] : (~v26(VarCurr))),
% 14.09/9.31 inference(rewrite,[status(thm)],[])).
% 14.09/9.31 tff(5092,plain,
% 14.09/9.31 (^[VarCurr: $i] : rewrite((v26(VarCurr) <=> $false) <=> (~v26(VarCurr)))),
% 14.09/9.31 inference(bind,[status(th)],[])).
% 14.09/9.31 tff(5093,plain,
% 14.09/9.31 (![VarCurr: $i] : (v26(VarCurr) <=> $false) <=> ![VarCurr: $i] : (~v26(VarCurr))),
% 14.09/9.31 inference(quant_intro,[status(thm)],[5092])).
% 14.09/9.31 tff(5094,axiom,(![VarCurr: $i] : (v26(VarCurr) <=> $false)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','addAssignment_1')).
% 14.09/9.31 tff(5095,plain,
% 14.09/9.31 (![VarCurr: $i] : (~v26(VarCurr))),
% 14.09/9.31 inference(modus_ponens,[status(thm)],[5094, 5093])).
% 14.09/9.31 tff(5096,plain,
% 14.09/9.31 (![VarCurr: $i] : (~v26(VarCurr))),
% 14.09/9.31 inference(modus_ponens,[status(thm)],[5095, 5091])).
% 14.09/9.31 tff(5097,plain,(
% 14.09/9.31 ![VarCurr: $i] : (~v26(VarCurr))),
% 14.09/9.31 inference(skolemize,[status(sab)],[5096])).
% 14.09/9.31 tff(5098,plain,
% 14.09/9.31 (![VarCurr: $i] : (~v26(VarCurr))),
% 14.09/9.31 inference(modus_ponens,[status(thm)],[5097, 5090])).
% 14.09/9.31 tff(5099,plain,
% 14.09/9.31 ((~![VarCurr: $i] : (~v26(VarCurr))) | (~v26(constB1))),
% 14.09/9.31 inference(quant_inst,[status(thm)],[])).
% 14.09/9.31 tff(5100,plain,
% 14.09/9.31 (~v26(constB1)),
% 14.09/9.31 inference(unit_resolution,[status(thm)],[5099, 5098])).
% 14.09/9.31 tff(5101,plain,
% 14.09/9.31 ((~(v111(constB1) <=> v26(constB1))) | (~v111(constB1)) | v26(constB1)),
% 14.09/9.31 inference(tautology,[status(thm)],[])).
% 14.09/9.31 tff(5102,plain,
% 14.09/9.31 ((~(v111(constB1) <=> v26(constB1))) | (~v111(constB1))),
% 14.09/9.31 inference(unit_resolution,[status(thm)],[5101, 5100])).
% 14.09/9.31 tff(5103,plain,
% 14.09/9.31 (~v111(constB1)),
% 14.09/9.31 inference(unit_resolution,[status(thm)],[5102, 5088])).
% 14.09/9.31 tff(5104,plain,
% 14.09/9.31 ((~((~v126(constB1)) <=> v111(constB1))) | v126(constB1) | v111(constB1)),
% 14.09/9.31 inference(tautology,[status(thm)],[])).
% 14.09/9.31 tff(5105,plain,
% 14.09/9.31 ((~((~v126(constB1)) <=> v111(constB1))) | v126(constB1)),
% 14.09/9.31 inference(unit_resolution,[status(thm)],[5104, 5103])).
% 14.09/9.31 tff(5106,plain,
% 14.09/9.31 (v126(constB1)),
% 14.09/9.31 inference(unit_resolution,[status(thm)],[5105, 5076])).
% 14.09/9.31 tff(5107,plain,
% 14.09/9.31 ((~((~v113(constB1)) | (~v126(constB1)))) | (~v113(constB1)) | (~v126(constB1))),
% 14.09/9.31 inference(tautology,[status(thm)],[])).
% 14.09/9.31 tff(5108,plain,
% 14.09/9.31 ((~((~v113(constB1)) | (~v126(constB1)))) | (~v113(constB1))),
% 14.09/9.31 inference(unit_resolution,[status(thm)],[5107, 5106])).
% 14.09/9.31 tff(5109,plain,
% 14.09/9.31 (~((~v113(constB1)) | (~v126(constB1)))),
% 14.09/9.31 inference(unit_resolution,[status(thm)],[5108, 5067])).
% 14.09/9.31 tff(5110,plain,
% 14.09/9.31 ((~(v112(constB1) <=> (~((~v113(constB1)) | (~v126(constB1)))))) | v112(constB1) | ((~v113(constB1)) | (~v126(constB1)))),
% 14.09/9.31 inference(tautology,[status(thm)],[])).
% 14.09/9.31 tff(5111,plain,
% 14.09/9.31 (v112(constB1)),
% 14.09/9.31 inference(unit_resolution,[status(thm)],[5110, 5109, 4946])).
% 14.09/9.31 tff(5112,plain,
% 14.09/9.31 ((v111(constB1) | v112(constB1)) | (~v112(constB1))),
% 14.09/9.31 inference(tautology,[status(thm)],[])).
% 14.09/9.31 tff(5113,plain,
% 14.09/9.31 (v111(constB1) | v112(constB1)),
% 14.09/9.31 inference(unit_resolution,[status(thm)],[5112, 5111])).
% 14.09/9.31 tff(5114,plain,
% 14.09/9.31 ((~(v108(constB1) <=> (v111(constB1) | v112(constB1)))) | v108(constB1) | (~(v111(constB1) | v112(constB1)))),
% 14.09/9.31 inference(tautology,[status(thm)],[])).
% 14.09/9.31 tff(5115,plain,
% 14.09/9.31 (v108(constB1)),
% 14.09/9.31 inference(unit_resolution,[status(thm)],[5114, 5113, 4944])).
% 14.09/9.31 tff(5116,plain,
% 14.09/9.31 ((~(v110(constB2) <=> v108(constB1))) | v110(constB2) | (~v108(constB1))),
% 14.09/9.31 inference(tautology,[status(thm)],[])).
% 14.09/9.31 tff(5117,plain,
% 14.09/9.31 (v110(constB2)),
% 14.09/9.31 inference(unit_resolution,[status(thm)],[5116, 5115, 4942])).
% 14.09/9.31 tff(5118,plain,
% 14.09/9.31 ((~((~v101(constB2)) | (~v110(constB2)))) | (~v101(constB2)) | (~v110(constB2))),
% 14.09/9.31 inference(tautology,[status(thm)],[])).
% 14.09/9.31 tff(5119,plain,
% 14.09/9.31 (~((~v101(constB2)) | (~v110(constB2)))),
% 14.09/9.31 inference(unit_resolution,[status(thm)],[5118, 5117, 4938])).
% 14.09/9.31 tff(5120,plain,
% 14.09/9.31 ((~(v100(constB2) <=> (~((~v101(constB2)) | (~v110(constB2)))))) | v100(constB2) | ((~v101(constB2)) | (~v110(constB2)))),
% 14.09/9.31 inference(tautology,[status(thm)],[])).
% 14.09/9.31 tff(5121,plain,
% 14.09/9.31 (v100(constB2)),
% 14.09/9.31 inference(unit_resolution,[status(thm)],[5120, 5119, 4907])).
% 14.09/9.31 tff(5122,plain,
% 14.09/9.31 (^[VarNext: $i] : refl(((~v100(VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v129(VarNext, B)))) <=> ((~v100(VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v129(VarNext, B)))))),
% 14.09/9.31 inference(bind,[status(th)],[])).
% 14.09/9.31 tff(5123,plain,
% 14.09/9.31 (![VarNext: $i] : ((~v100(VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v129(VarNext, B)))) <=> ![VarNext: $i] : ((~v100(VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v129(VarNext, B))))),
% 14.09/9.31 inference(quant_intro,[status(thm)],[5122])).
% 14.09/9.31 tff(5124,plain,
% 14.09/9.31 (^[VarNext: $i] : rewrite(((~v100(VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v129(VarNext, B)))) <=> ((~v100(VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v129(VarNext, B)))))),
% 14.09/9.31 inference(bind,[status(th)],[])).
% 14.09/9.31 tff(5125,plain,
% 14.09/9.31 (![VarNext: $i] : ((~v100(VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v129(VarNext, B)))) <=> ![VarNext: $i] : ((~v100(VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v129(VarNext, B))))),
% 14.09/9.31 inference(quant_intro,[status(thm)],[5124])).
% 14.09/9.31 tff(5126,plain,
% 14.09/9.31 (![VarNext: $i] : ((~v100(VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v129(VarNext, B)))) <=> ![VarNext: $i] : ((~v100(VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v129(VarNext, B))))),
% 14.09/9.31 inference(transitivity,[status(thm)],[5125, 5123])).
% 14.09/9.31 tff(5127,plain,
% 14.09/9.31 (![VarNext: $i] : ((~v100(VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v129(VarNext, B)))) <=> ![VarNext: $i] : ((~v100(VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v129(VarNext, B))))),
% 14.09/9.31 inference(rewrite,[status(thm)],[])).
% 14.09/9.31 tff(5128,plain,
% 14.09/9.31 (^[VarNext: $i] : trans(monotonicity(quant_intro(proof_bind(^[B: $i] : rewrite((less_3(B) => (v90(VarNext, B) <=> v129(VarNext, B))) <=> ((~less_3(B)) | (v90(VarNext, B) <=> v129(VarNext, B))))), (![B: $i] : (less_3(B) => (v90(VarNext, B) <=> v129(VarNext, B))) <=> ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v129(VarNext, B))))), ((v100(VarNext) => ![B: $i] : (less_3(B) => (v90(VarNext, B) <=> v129(VarNext, B)))) <=> (v100(VarNext) => ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v129(VarNext, B)))))), rewrite((v100(VarNext) => ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v129(VarNext, B)))) <=> ((~v100(VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v129(VarNext, B))))), ((v100(VarNext) => ![B: $i] : (less_3(B) => (v90(VarNext, B) <=> v129(VarNext, B)))) <=> ((~v100(VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v129(VarNext, B))))))),
% 14.09/9.31 inference(bind,[status(th)],[])).
% 14.09/9.31 tff(5129,plain,
% 14.09/9.31 (![VarNext: $i] : (v100(VarNext) => ![B: $i] : (less_3(B) => (v90(VarNext, B) <=> v129(VarNext, B)))) <=> ![VarNext: $i] : ((~v100(VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v129(VarNext, B))))),
% 14.09/9.31 inference(quant_intro,[status(thm)],[5128])).
% 14.09/9.31 tff(5130,axiom,(![VarNext: $i] : (v100(VarNext) => ![B: $i] : (less_3(B) => (v90(VarNext, B) <=> v129(VarNext, B))))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','addCaseBooleanConditionEqualRanges0')).
% 14.09/9.31 tff(5131,plain,
% 14.09/9.31 (![VarNext: $i] : ((~v100(VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v129(VarNext, B))))),
% 14.09/9.31 inference(modus_ponens,[status(thm)],[5130, 5129])).
% 14.09/9.31 tff(5132,plain,
% 14.09/9.31 (![VarNext: $i] : ((~v100(VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v129(VarNext, B))))),
% 14.09/9.31 inference(modus_ponens,[status(thm)],[5131, 5127])).
% 14.09/9.31 tff(5133,plain,(
% 14.09/9.31 ![VarNext: $i] : ((~v100(VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v129(VarNext, B))))),
% 14.09/9.31 inference(skolemize,[status(sab)],[5132])).
% 14.09/9.31 tff(5134,plain,
% 14.09/9.31 (![VarNext: $i] : ((~v100(VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v129(VarNext, B))))),
% 14.09/9.31 inference(modus_ponens,[status(thm)],[5133, 5126])).
% 14.09/9.31 tff(5135,plain,
% 14.09/9.31 (((~![VarNext: $i] : ((~v100(VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v129(VarNext, B))))) | ((~v100(constB2)) | ![B: $i] : ((~less_3(B)) | (v90(constB2, B) <=> v129(constB2, B))))) <=> ((~![VarNext: $i] : ((~v100(VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v129(VarNext, B))))) | (~v100(constB2)) | ![B: $i] : ((~less_3(B)) | (v90(constB2, B) <=> v129(constB2, B))))),
% 14.09/9.31 inference(rewrite,[status(thm)],[])).
% 14.09/9.31 tff(5136,plain,
% 14.09/9.31 ((~![VarNext: $i] : ((~v100(VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v129(VarNext, B))))) | ((~v100(constB2)) | ![B: $i] : ((~less_3(B)) | (v90(constB2, B) <=> v129(constB2, B))))),
% 14.09/9.31 inference(quant_inst,[status(thm)],[])).
% 14.09/9.31 tff(5137,plain,
% 14.09/9.31 ((~![VarNext: $i] : ((~v100(VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v129(VarNext, B))))) | (~v100(constB2)) | ![B: $i] : ((~less_3(B)) | (v90(constB2, B) <=> v129(constB2, B)))),
% 14.09/9.31 inference(modus_ponens,[status(thm)],[5136, 5135])).
% 14.09/9.31 tff(5138,plain,
% 14.09/9.31 ((~v100(constB2)) | ![B: $i] : ((~less_3(B)) | (v90(constB2, B) <=> v129(constB2, B)))),
% 14.09/9.31 inference(unit_resolution,[status(thm)],[5137, 5134])).
% 14.09/9.31 tff(5139,plain,
% 14.09/9.31 (![B: $i] : ((~less_3(B)) | (v90(constB2, B) <=> v129(constB2, B)))),
% 14.09/9.31 inference(unit_resolution,[status(thm)],[5138, 5121])).
% 14.09/9.31 tff(5140,plain,
% 14.09/9.31 (((~![B: $i] : ((~less_3(B)) | (v90(constB2, B) <=> v129(constB2, B)))) | ((~less_3(bitIndex2)) | (v90(constB2, bitIndex2) <=> v129(constB2, bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v90(constB2, B) <=> v129(constB2, B)))) | (~less_3(bitIndex2)) | (v90(constB2, bitIndex2) <=> v129(constB2, bitIndex2)))),
% 14.09/9.31 inference(rewrite,[status(thm)],[])).
% 14.09/9.31 tff(5141,plain,
% 14.09/9.31 ((~![B: $i] : ((~less_3(B)) | (v90(constB2, B) <=> v129(constB2, B)))) | ((~less_3(bitIndex2)) | (v90(constB2, bitIndex2) <=> v129(constB2, bitIndex2)))),
% 14.09/9.31 inference(quant_inst,[status(thm)],[])).
% 14.09/9.31 tff(5142,plain,
% 14.09/9.31 ((~![B: $i] : ((~less_3(B)) | (v90(constB2, B) <=> v129(constB2, B)))) | (~less_3(bitIndex2)) | (v90(constB2, bitIndex2) <=> v129(constB2, bitIndex2))),
% 14.09/9.31 inference(modus_ponens,[status(thm)],[5141, 5140])).
% 14.09/9.31 tff(5143,plain,
% 14.09/9.31 (v90(constB2, bitIndex2) <=> v129(constB2, bitIndex2)),
% 14.09/9.31 inference(unit_resolution,[status(thm)],[5142, 413, 5139])).
% 14.09/9.31 tff(5144,plain,
% 14.09/9.31 (^[VarCurr: $i, VarNext: $i] : refl(((~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v129(VarNext, B) <=> v127(VarCurr, B)))) <=> ((~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v129(VarNext, B) <=> v127(VarCurr, B)))))),
% 14.09/9.31 inference(bind,[status(th)],[])).
% 14.09/9.31 tff(5145,plain,
% 14.09/9.31 (![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v129(VarNext, B) <=> v127(VarCurr, B)))) <=> ![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v129(VarNext, B) <=> v127(VarCurr, B))))),
% 14.09/9.31 inference(quant_intro,[status(thm)],[5144])).
% 14.09/9.31 tff(5146,plain,
% 14.09/9.31 (^[VarCurr: $i, VarNext: $i] : rewrite(((~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v129(VarNext, B) <=> v127(VarCurr, B)))) <=> ((~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v129(VarNext, B) <=> v127(VarCurr, B)))))),
% 14.09/9.31 inference(bind,[status(th)],[])).
% 14.09/9.31 tff(5147,plain,
% 14.09/9.31 (![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v129(VarNext, B) <=> v127(VarCurr, B)))) <=> ![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v129(VarNext, B) <=> v127(VarCurr, B))))),
% 14.09/9.31 inference(quant_intro,[status(thm)],[5146])).
% 14.09/9.31 tff(5148,plain,
% 14.09/9.31 (![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v129(VarNext, B) <=> v127(VarCurr, B)))) <=> ![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v129(VarNext, B) <=> v127(VarCurr, B))))),
% 14.09/9.31 inference(transitivity,[status(thm)],[5147, 5145])).
% 14.09/9.31 tff(5149,plain,
% 14.09/9.31 (![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v129(VarNext, B) <=> v127(VarCurr, B)))) <=> ![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v129(VarNext, B) <=> v127(VarCurr, B))))),
% 14.09/9.31 inference(rewrite,[status(thm)],[])).
% 14.09/9.31 tff(5150,plain,
% 14.09/9.31 (^[VarCurr: $i, VarNext: $i] : trans(monotonicity(quant_intro(proof_bind(^[B: $i] : rewrite((less_3(B) => (v129(VarNext, B) <=> v127(VarCurr, B))) <=> ((~less_3(B)) | (v129(VarNext, B) <=> v127(VarCurr, B))))), (![B: $i] : (less_3(B) => (v129(VarNext, B) <=> v127(VarCurr, B))) <=> ![B: $i] : ((~less_3(B)) | (v129(VarNext, B) <=> v127(VarCurr, B))))), ((nextState(VarCurr, VarNext) => ![B: $i] : (less_3(B) => (v129(VarNext, B) <=> v127(VarCurr, B)))) <=> (nextState(VarCurr, VarNext) => ![B: $i] : ((~less_3(B)) | (v129(VarNext, B) <=> v127(VarCurr, B)))))), rewrite((nextState(VarCurr, VarNext) => ![B: $i] : ((~less_3(B)) | (v129(VarNext, B) <=> v127(VarCurr, B)))) <=> ((~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v129(VarNext, B) <=> v127(VarCurr, B))))), ((nextState(VarCurr, VarNext) => ![B: $i] : (less_3(B) => (v129(VarNext, B) <=> v127(VarCurr, B)))) <=> ((~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v129(VarNext, B) <=> v127(VarCurr, B))))))),
% 14.09/9.31 inference(bind,[status(th)],[])).
% 14.09/9.31 tff(5151,plain,
% 14.09/9.31 (![VarCurr: $i, VarNext: $i] : (nextState(VarCurr, VarNext) => ![B: $i] : (less_3(B) => (v129(VarNext, B) <=> v127(VarCurr, B)))) <=> ![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v129(VarNext, B) <=> v127(VarCurr, B))))),
% 14.09/9.31 inference(quant_intro,[status(thm)],[5150])).
% 14.09/9.31 tff(5152,axiom,(![VarCurr: $i, VarNext: $i] : (nextState(VarCurr, VarNext) => ![B: $i] : (less_3(B) => (v129(VarNext, B) <=> v127(VarCurr, B))))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','addAssignment_7')).
% 14.09/9.31 tff(5153,plain,
% 14.09/9.31 (![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v129(VarNext, B) <=> v127(VarCurr, B))))),
% 14.09/9.31 inference(modus_ponens,[status(thm)],[5152, 5151])).
% 14.09/9.31 tff(5154,plain,
% 14.09/9.31 (![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v129(VarNext, B) <=> v127(VarCurr, B))))),
% 14.09/9.31 inference(modus_ponens,[status(thm)],[5153, 5149])).
% 14.09/9.31 tff(5155,plain,(
% 14.09/9.31 ![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v129(VarNext, B) <=> v127(VarCurr, B))))),
% 14.09/9.31 inference(skolemize,[status(sab)],[5154])).
% 14.09/9.31 tff(5156,plain,
% 14.09/9.31 (![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v129(VarNext, B) <=> v127(VarCurr, B))))),
% 14.09/9.31 inference(modus_ponens,[status(thm)],[5155, 5148])).
% 14.09/9.31 tff(5157,plain,
% 14.09/9.31 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v129(VarNext, B) <=> v127(VarCurr, B))))) | ((~nextState(constB1, constB2)) | ![B: $i] : ((~less_3(B)) | (v129(constB2, B) <=> v127(constB1, B))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v129(VarNext, B) <=> v127(VarCurr, B))))) | (~nextState(constB1, constB2)) | ![B: $i] : ((~less_3(B)) | (v129(constB2, B) <=> v127(constB1, B))))),
% 14.09/9.31 inference(rewrite,[status(thm)],[])).
% 14.09/9.31 tff(5158,plain,
% 14.09/9.31 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v129(VarNext, B) <=> v127(VarCurr, B))))) | ((~nextState(constB1, constB2)) | ![B: $i] : ((~less_3(B)) | (v129(constB2, B) <=> v127(constB1, B))))),
% 14.09/9.31 inference(quant_inst,[status(thm)],[])).
% 14.09/9.31 tff(5159,plain,
% 14.09/9.31 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v129(VarNext, B) <=> v127(VarCurr, B))))) | (~nextState(constB1, constB2)) | ![B: $i] : ((~less_3(B)) | (v129(constB2, B) <=> v127(constB1, B)))),
% 14.09/9.31 inference(modus_ponens,[status(thm)],[5158, 5157])).
% 14.09/9.31 tff(5160,plain,
% 14.09/9.31 (![B: $i] : ((~less_3(B)) | (v129(constB2, B) <=> v127(constB1, B)))),
% 14.09/9.31 inference(unit_resolution,[status(thm)],[5159, 4903, 5156])).
% 14.09/9.31 tff(5161,plain,
% 14.09/9.31 (((~![B: $i] : ((~less_3(B)) | (v129(constB2, B) <=> v127(constB1, B)))) | ((~less_3(bitIndex2)) | (v129(constB2, bitIndex2) <=> v127(constB1, bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v129(constB2, B) <=> v127(constB1, B)))) | (~less_3(bitIndex2)) | (v129(constB2, bitIndex2) <=> v127(constB1, bitIndex2)))),
% 14.09/9.31 inference(rewrite,[status(thm)],[])).
% 14.09/9.31 tff(5162,plain,
% 14.09/9.31 ((~![B: $i] : ((~less_3(B)) | (v129(constB2, B) <=> v127(constB1, B)))) | ((~less_3(bitIndex2)) | (v129(constB2, bitIndex2) <=> v127(constB1, bitIndex2)))),
% 14.09/9.31 inference(quant_inst,[status(thm)],[])).
% 14.09/9.31 tff(5163,plain,
% 14.09/9.31 ((~![B: $i] : ((~less_3(B)) | (v129(constB2, B) <=> v127(constB1, B)))) | (~less_3(bitIndex2)) | (v129(constB2, bitIndex2) <=> v127(constB1, bitIndex2))),
% 14.09/9.31 inference(modus_ponens,[status(thm)],[5162, 5161])).
% 14.09/9.31 tff(5164,plain,
% 14.09/9.31 (v129(constB2, bitIndex2) <=> v127(constB1, bitIndex2)),
% 14.09/9.31 inference(unit_resolution,[status(thm)],[5163, 413, 5160])).
% 14.09/9.31 tff(5165,plain,
% 14.09/9.31 (^[VarCurr: $i] : refl((v111(VarCurr) | ![B: $i] : ((~less_3(B)) | (v127(VarCurr, B) <=> v130(VarCurr, B)))) <=> (v111(VarCurr) | ![B: $i] : ((~less_3(B)) | (v127(VarCurr, B) <=> v130(VarCurr, B)))))),
% 14.09/9.31 inference(bind,[status(th)],[])).
% 14.09/9.31 tff(5166,plain,
% 14.09/9.31 (![VarCurr: $i] : (v111(VarCurr) | ![B: $i] : ((~less_3(B)) | (v127(VarCurr, B) <=> v130(VarCurr, B)))) <=> ![VarCurr: $i] : (v111(VarCurr) | ![B: $i] : ((~less_3(B)) | (v127(VarCurr, B) <=> v130(VarCurr, B))))),
% 14.09/9.31 inference(quant_intro,[status(thm)],[5165])).
% 14.09/9.31 tff(5167,plain,
% 14.09/9.31 (^[VarCurr: $i] : rewrite((v111(VarCurr) | ![B: $i] : ((~less_3(B)) | (v127(VarCurr, B) <=> v130(VarCurr, B)))) <=> (v111(VarCurr) | ![B: $i] : ((~less_3(B)) | (v127(VarCurr, B) <=> v130(VarCurr, B)))))),
% 14.09/9.31 inference(bind,[status(th)],[])).
% 14.09/9.31 tff(5168,plain,
% 14.09/9.31 (![VarCurr: $i] : (v111(VarCurr) | ![B: $i] : ((~less_3(B)) | (v127(VarCurr, B) <=> v130(VarCurr, B)))) <=> ![VarCurr: $i] : (v111(VarCurr) | ![B: $i] : ((~less_3(B)) | (v127(VarCurr, B) <=> v130(VarCurr, B))))),
% 14.09/9.31 inference(quant_intro,[status(thm)],[5167])).
% 14.09/9.31 tff(5169,plain,
% 14.09/9.31 (![VarCurr: $i] : (v111(VarCurr) | ![B: $i] : ((~less_3(B)) | (v127(VarCurr, B) <=> v130(VarCurr, B)))) <=> ![VarCurr: $i] : (v111(VarCurr) | ![B: $i] : ((~less_3(B)) | (v127(VarCurr, B) <=> v130(VarCurr, B))))),
% 14.09/9.31 inference(transitivity,[status(thm)],[5168, 5166])).
% 14.09/9.31 tff(5170,plain,
% 14.09/9.31 (![VarCurr: $i] : (v111(VarCurr) | ![B: $i] : ((~less_3(B)) | (v127(VarCurr, B) <=> v130(VarCurr, B)))) <=> ![VarCurr: $i] : (v111(VarCurr) | ![B: $i] : ((~less_3(B)) | (v127(VarCurr, B) <=> v130(VarCurr, B))))),
% 14.09/9.31 inference(rewrite,[status(thm)],[])).
% 14.09/9.31 tff(5171,plain,
% 14.09/9.31 (^[VarCurr: $i] : trans(monotonicity(quant_intro(proof_bind(^[B: $i] : rewrite((less_3(B) => (v127(VarCurr, B) <=> v130(VarCurr, B))) <=> ((~less_3(B)) | (v127(VarCurr, B) <=> v130(VarCurr, B))))), (![B: $i] : (less_3(B) => (v127(VarCurr, B) <=> v130(VarCurr, B))) <=> ![B: $i] : ((~less_3(B)) | (v127(VarCurr, B) <=> v130(VarCurr, B))))), (((~v111(VarCurr)) => ![B: $i] : (less_3(B) => (v127(VarCurr, B) <=> v130(VarCurr, B)))) <=> ((~v111(VarCurr)) => ![B: $i] : ((~less_3(B)) | (v127(VarCurr, B) <=> v130(VarCurr, B)))))), rewrite(((~v111(VarCurr)) => ![B: $i] : ((~less_3(B)) | (v127(VarCurr, B) <=> v130(VarCurr, B)))) <=> (v111(VarCurr) | ![B: $i] : ((~less_3(B)) | (v127(VarCurr, B) <=> v130(VarCurr, B))))), (((~v111(VarCurr)) => ![B: $i] : (less_3(B) => (v127(VarCurr, B) <=> v130(VarCurr, B)))) <=> (v111(VarCurr) | ![B: $i] : ((~less_3(B)) | (v127(VarCurr, B) <=> v130(VarCurr, B))))))),
% 14.09/9.31 inference(bind,[status(th)],[])).
% 14.09/9.31 tff(5172,plain,
% 14.09/9.31 (![VarCurr: $i] : ((~v111(VarCurr)) => ![B: $i] : (less_3(B) => (v127(VarCurr, B) <=> v130(VarCurr, B)))) <=> ![VarCurr: $i] : (v111(VarCurr) | ![B: $i] : ((~less_3(B)) | (v127(VarCurr, B) <=> v130(VarCurr, B))))),
% 14.09/9.31 inference(quant_intro,[status(thm)],[5171])).
% 14.09/9.31 tff(5173,axiom,(![VarCurr: $i] : ((~v111(VarCurr)) => ![B: $i] : (less_3(B) => (v127(VarCurr, B) <=> v130(VarCurr, B))))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','addParallelCaseBooleanConditionEqualRanges1_1')).
% 14.09/9.31 tff(5174,plain,
% 14.09/9.31 (![VarCurr: $i] : (v111(VarCurr) | ![B: $i] : ((~less_3(B)) | (v127(VarCurr, B) <=> v130(VarCurr, B))))),
% 14.09/9.31 inference(modus_ponens,[status(thm)],[5173, 5172])).
% 14.09/9.31 tff(5175,plain,
% 14.09/9.31 (![VarCurr: $i] : (v111(VarCurr) | ![B: $i] : ((~less_3(B)) | (v127(VarCurr, B) <=> v130(VarCurr, B))))),
% 14.09/9.31 inference(modus_ponens,[status(thm)],[5174, 5170])).
% 14.09/9.31 tff(5176,plain,(
% 14.09/9.31 ![VarCurr: $i] : (v111(VarCurr) | ![B: $i] : ((~less_3(B)) | (v127(VarCurr, B) <=> v130(VarCurr, B))))),
% 14.09/9.31 inference(skolemize,[status(sab)],[5175])).
% 14.09/9.31 tff(5177,plain,
% 14.09/9.31 (![VarCurr: $i] : (v111(VarCurr) | ![B: $i] : ((~less_3(B)) | (v127(VarCurr, B) <=> v130(VarCurr, B))))),
% 14.09/9.31 inference(modus_ponens,[status(thm)],[5176, 5169])).
% 14.09/9.31 tff(5178,plain,
% 14.09/9.31 (((~![VarCurr: $i] : (v111(VarCurr) | ![B: $i] : ((~less_3(B)) | (v127(VarCurr, B) <=> v130(VarCurr, B))))) | (v111(constB1) | ![B: $i] : ((~less_3(B)) | (v127(constB1, B) <=> v130(constB1, B))))) <=> ((~![VarCurr: $i] : (v111(VarCurr) | ![B: $i] : ((~less_3(B)) | (v127(VarCurr, B) <=> v130(VarCurr, B))))) | v111(constB1) | ![B: $i] : ((~less_3(B)) | (v127(constB1, B) <=> v130(constB1, B))))),
% 14.09/9.31 inference(rewrite,[status(thm)],[])).
% 14.09/9.31 tff(5179,plain,
% 14.09/9.31 ((~![VarCurr: $i] : (v111(VarCurr) | ![B: $i] : ((~less_3(B)) | (v127(VarCurr, B) <=> v130(VarCurr, B))))) | (v111(constB1) | ![B: $i] : ((~less_3(B)) | (v127(constB1, B) <=> v130(constB1, B))))),
% 14.09/9.31 inference(quant_inst,[status(thm)],[])).
% 14.09/9.31 tff(5180,plain,
% 14.09/9.31 ((~![VarCurr: $i] : (v111(VarCurr) | ![B: $i] : ((~less_3(B)) | (v127(VarCurr, B) <=> v130(VarCurr, B))))) | v111(constB1) | ![B: $i] : ((~less_3(B)) | (v127(constB1, B) <=> v130(constB1, B)))),
% 14.09/9.31 inference(modus_ponens,[status(thm)],[5179, 5178])).
% 14.09/9.31 tff(5181,plain,
% 14.09/9.31 (![B: $i] : ((~less_3(B)) | (v127(constB1, B) <=> v130(constB1, B)))),
% 14.09/9.31 inference(unit_resolution,[status(thm)],[5180, 5177, 5103])).
% 14.09/9.31 tff(5182,plain,
% 14.09/9.31 (((~![B: $i] : ((~less_3(B)) | (v127(constB1, B) <=> v130(constB1, B)))) | ((~less_3(bitIndex2)) | (v127(constB1, bitIndex2) <=> v130(constB1, bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v127(constB1, B) <=> v130(constB1, B)))) | (~less_3(bitIndex2)) | (v127(constB1, bitIndex2) <=> v130(constB1, bitIndex2)))),
% 14.09/9.31 inference(rewrite,[status(thm)],[])).
% 14.09/9.31 tff(5183,plain,
% 14.09/9.31 ((~![B: $i] : ((~less_3(B)) | (v127(constB1, B) <=> v130(constB1, B)))) | ((~less_3(bitIndex2)) | (v127(constB1, bitIndex2) <=> v130(constB1, bitIndex2)))),
% 14.09/9.31 inference(quant_inst,[status(thm)],[])).
% 14.09/9.31 tff(5184,plain,
% 14.09/9.31 ((~![B: $i] : ((~less_3(B)) | (v127(constB1, B) <=> v130(constB1, B)))) | (~less_3(bitIndex2)) | (v127(constB1, bitIndex2) <=> v130(constB1, bitIndex2))),
% 14.09/9.31 inference(modus_ponens,[status(thm)],[5183, 5182])).
% 14.09/9.31 tff(5185,plain,
% 14.09/9.31 (v127(constB1, bitIndex2) <=> v130(constB1, bitIndex2)),
% 14.09/9.31 inference(unit_resolution,[status(thm)],[5184, 413, 5181])).
% 14.09/9.31 tff(5186,plain,
% 14.09/9.31 (^[VarCurr: $i] : refl(((~v119(VarCurr)) | ![B: $i] : ((~less_3(B)) | (v130(VarCurr, B) <=> b100(B)))) <=> ((~v119(VarCurr)) | ![B: $i] : ((~less_3(B)) | (v130(VarCurr, B) <=> b100(B)))))),
% 14.09/9.31 inference(bind,[status(th)],[])).
% 14.09/9.31 tff(5187,plain,
% 14.09/9.31 (![VarCurr: $i] : ((~v119(VarCurr)) | ![B: $i] : ((~less_3(B)) | (v130(VarCurr, B) <=> b100(B)))) <=> ![VarCurr: $i] : ((~v119(VarCurr)) | ![B: $i] : ((~less_3(B)) | (v130(VarCurr, B) <=> b100(B))))),
% 14.09/9.31 inference(quant_intro,[status(thm)],[5186])).
% 14.09/9.31 tff(5188,plain,
% 14.09/9.31 (^[VarCurr: $i] : rewrite(((~v119(VarCurr)) | ![B: $i] : ((~less_3(B)) | (v130(VarCurr, B) <=> b100(B)))) <=> ((~v119(VarCurr)) | ![B: $i] : ((~less_3(B)) | (v130(VarCurr, B) <=> b100(B)))))),
% 14.09/9.31 inference(bind,[status(th)],[])).
% 14.09/9.31 tff(5189,plain,
% 14.09/9.31 (![VarCurr: $i] : ((~v119(VarCurr)) | ![B: $i] : ((~less_3(B)) | (v130(VarCurr, B) <=> b100(B)))) <=> ![VarCurr: $i] : ((~v119(VarCurr)) | ![B: $i] : ((~less_3(B)) | (v130(VarCurr, B) <=> b100(B))))),
% 14.09/9.31 inference(quant_intro,[status(thm)],[5188])).
% 14.09/9.31 tff(5190,plain,
% 14.09/9.31 (![VarCurr: $i] : ((~v119(VarCurr)) | ![B: $i] : ((~less_3(B)) | (v130(VarCurr, B) <=> b100(B)))) <=> ![VarCurr: $i] : ((~v119(VarCurr)) | ![B: $i] : ((~less_3(B)) | (v130(VarCurr, B) <=> b100(B))))),
% 14.09/9.31 inference(transitivity,[status(thm)],[5189, 5187])).
% 14.09/9.31 tff(5191,plain,
% 14.09/9.31 (![VarCurr: $i] : ((~v119(VarCurr)) | ![B: $i] : ((~less_3(B)) | (v130(VarCurr, B) <=> b100(B)))) <=> ![VarCurr: $i] : ((~v119(VarCurr)) | ![B: $i] : ((~less_3(B)) | (v130(VarCurr, B) <=> b100(B))))),
% 14.09/9.31 inference(rewrite,[status(thm)],[])).
% 14.09/9.31 tff(5192,plain,
% 14.09/9.31 (^[VarCurr: $i] : trans(monotonicity(quant_intro(proof_bind(^[B: $i] : rewrite((less_3(B) => (v130(VarCurr, B) <=> b100(B))) <=> ((~less_3(B)) | (v130(VarCurr, B) <=> b100(B))))), (![B: $i] : (less_3(B) => (v130(VarCurr, B) <=> b100(B))) <=> ![B: $i] : ((~less_3(B)) | (v130(VarCurr, B) <=> b100(B))))), ((v119(VarCurr) => ![B: $i] : (less_3(B) => (v130(VarCurr, B) <=> b100(B)))) <=> (v119(VarCurr) => ![B: $i] : ((~less_3(B)) | (v130(VarCurr, B) <=> b100(B)))))), rewrite((v119(VarCurr) => ![B: $i] : ((~less_3(B)) | (v130(VarCurr, B) <=> b100(B)))) <=> ((~v119(VarCurr)) | ![B: $i] : ((~less_3(B)) | (v130(VarCurr, B) <=> b100(B))))), ((v119(VarCurr) => ![B: $i] : (less_3(B) => (v130(VarCurr, B) <=> b100(B)))) <=> ((~v119(VarCurr)) | ![B: $i] : ((~less_3(B)) | (v130(VarCurr, B) <=> b100(B))))))),
% 14.09/9.31 inference(bind,[status(th)],[])).
% 14.09/9.31 tff(5193,plain,
% 14.09/9.31 (![VarCurr: $i] : (v119(VarCurr) => ![B: $i] : (less_3(B) => (v130(VarCurr, B) <=> b100(B)))) <=> ![VarCurr: $i] : ((~v119(VarCurr)) | ![B: $i] : ((~less_3(B)) | (v130(VarCurr, B) <=> b100(B))))),
% 14.09/9.31 inference(quant_intro,[status(thm)],[5192])).
% 14.09/9.31 tff(5194,axiom,(![VarCurr: $i] : (v119(VarCurr) => ![B: $i] : (less_3(B) => (v130(VarCurr, B) <=> b100(B))))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','addParallelCaseBooleanConditionEqualRanges0')).
% 14.09/9.31 tff(5195,plain,
% 14.09/9.31 (![VarCurr: $i] : ((~v119(VarCurr)) | ![B: $i] : ((~less_3(B)) | (v130(VarCurr, B) <=> b100(B))))),
% 14.09/9.31 inference(modus_ponens,[status(thm)],[5194, 5193])).
% 14.09/9.31 tff(5196,plain,
% 14.09/9.31 (![VarCurr: $i] : ((~v119(VarCurr)) | ![B: $i] : ((~less_3(B)) | (v130(VarCurr, B) <=> b100(B))))),
% 14.09/9.31 inference(modus_ponens,[status(thm)],[5195, 5191])).
% 14.09/9.31 tff(5197,plain,(
% 14.09/9.31 ![VarCurr: $i] : ((~v119(VarCurr)) | ![B: $i] : ((~less_3(B)) | (v130(VarCurr, B) <=> b100(B))))),
% 14.09/9.31 inference(skolemize,[status(sab)],[5196])).
% 14.09/9.31 tff(5198,plain,
% 14.09/9.31 (![VarCurr: $i] : ((~v119(VarCurr)) | ![B: $i] : ((~less_3(B)) | (v130(VarCurr, B) <=> b100(B))))),
% 14.09/9.31 inference(modus_ponens,[status(thm)],[5197, 5190])).
% 14.09/9.31 tff(5199,plain,
% 14.09/9.31 (((~![VarCurr: $i] : ((~v119(VarCurr)) | ![B: $i] : ((~less_3(B)) | (v130(VarCurr, B) <=> b100(B))))) | ((~v119(constB1)) | ![B: $i] : ((~less_3(B)) | (v130(constB1, B) <=> b100(B))))) <=> ((~![VarCurr: $i] : ((~v119(VarCurr)) | ![B: $i] : ((~less_3(B)) | (v130(VarCurr, B) <=> b100(B))))) | (~v119(constB1)) | ![B: $i] : ((~less_3(B)) | (v130(constB1, B) <=> b100(B))))),
% 14.09/9.31 inference(rewrite,[status(thm)],[])).
% 14.09/9.31 tff(5200,plain,
% 14.09/9.31 ((~![VarCurr: $i] : ((~v119(VarCurr)) | ![B: $i] : ((~less_3(B)) | (v130(VarCurr, B) <=> b100(B))))) | ((~v119(constB1)) | ![B: $i] : ((~less_3(B)) | (v130(constB1, B) <=> b100(B))))),
% 14.09/9.31 inference(quant_inst,[status(thm)],[])).
% 14.09/9.31 tff(5201,plain,
% 14.09/9.31 ((~![VarCurr: $i] : ((~v119(VarCurr)) | ![B: $i] : ((~less_3(B)) | (v130(VarCurr, B) <=> b100(B))))) | (~v119(constB1)) | ![B: $i] : ((~less_3(B)) | (v130(constB1, B) <=> b100(B)))),
% 14.09/9.31 inference(modus_ponens,[status(thm)],[5200, 5199])).
% 14.09/9.31 tff(5202,plain,
% 14.09/9.31 (![B: $i] : ((~less_3(B)) | (v130(constB1, B) <=> b100(B)))),
% 14.09/9.31 inference(unit_resolution,[status(thm)],[5201, 5198, 5042])).
% 14.09/9.31 tff(5203,plain,
% 14.09/9.31 (((~![B: $i] : ((~less_3(B)) | (v130(constB1, B) <=> b100(B)))) | ((~less_3(bitIndex2)) | (v130(constB1, bitIndex2) <=> b100(bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v130(constB1, B) <=> b100(B)))) | (~less_3(bitIndex2)) | (v130(constB1, bitIndex2) <=> b100(bitIndex2)))),
% 14.09/9.31 inference(rewrite,[status(thm)],[])).
% 14.09/9.31 tff(5204,plain,
% 14.09/9.31 ((~![B: $i] : ((~less_3(B)) | (v130(constB1, B) <=> b100(B)))) | ((~less_3(bitIndex2)) | (v130(constB1, bitIndex2) <=> b100(bitIndex2)))),
% 14.09/9.31 inference(quant_inst,[status(thm)],[])).
% 14.09/9.31 tff(5205,plain,
% 14.09/9.31 ((~![B: $i] : ((~less_3(B)) | (v130(constB1, B) <=> b100(B)))) | (~less_3(bitIndex2)) | (v130(constB1, bitIndex2) <=> b100(bitIndex2))),
% 14.09/9.31 inference(modus_ponens,[status(thm)],[5204, 5203])).
% 14.09/9.31 tff(5206,plain,
% 14.09/9.31 (v130(constB1, bitIndex2) <=> b100(bitIndex2)),
% 14.09/9.32 inference(unit_resolution,[status(thm)],[5205, 413, 5202])).
% 14.09/9.32 tff(5207,plain,
% 14.09/9.32 (b100(bitIndex2) <=> b100(bitIndex2)),
% 14.09/9.32 inference(rewrite,[status(thm)],[])).
% 14.09/9.32 tff(5208,axiom,(b100(bitIndex2)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bitBlastConstant_14')).
% 14.09/9.32 tff(5209,plain,
% 14.09/9.32 (b100(bitIndex2)),
% 14.09/9.32 inference(modus_ponens,[status(thm)],[5208, 5207])).
% 14.09/9.32 tff(5210,plain,
% 14.09/9.32 ((~(v130(constB1, bitIndex2) <=> b100(bitIndex2))) | v130(constB1, bitIndex2) | (~b100(bitIndex2))),
% 14.09/9.32 inference(tautology,[status(thm)],[])).
% 14.09/9.32 tff(5211,plain,
% 14.09/9.32 ((~(v130(constB1, bitIndex2) <=> b100(bitIndex2))) | v130(constB1, bitIndex2)),
% 14.09/9.32 inference(unit_resolution,[status(thm)],[5210, 5209])).
% 14.09/9.32 tff(5212,plain,
% 14.09/9.32 (v130(constB1, bitIndex2)),
% 14.09/9.32 inference(unit_resolution,[status(thm)],[5211, 5206])).
% 14.09/9.32 tff(5213,plain,
% 14.09/9.32 ((~(v127(constB1, bitIndex2) <=> v130(constB1, bitIndex2))) | v127(constB1, bitIndex2) | (~v130(constB1, bitIndex2))),
% 14.09/9.32 inference(tautology,[status(thm)],[])).
% 14.09/9.32 tff(5214,plain,
% 14.09/9.32 (v127(constB1, bitIndex2)),
% 14.09/9.32 inference(unit_resolution,[status(thm)],[5213, 5212, 5185])).
% 14.09/9.32 tff(5215,plain,
% 14.09/9.32 ((~(v129(constB2, bitIndex2) <=> v127(constB1, bitIndex2))) | v129(constB2, bitIndex2) | (~v127(constB1, bitIndex2))),
% 14.09/9.32 inference(tautology,[status(thm)],[])).
% 14.09/9.32 tff(5216,plain,
% 14.09/9.32 (v129(constB2, bitIndex2)),
% 14.09/9.32 inference(unit_resolution,[status(thm)],[5215, 5214, 5164])).
% 14.09/9.32 tff(5217,plain,
% 14.09/9.32 ((~(v90(constB2, bitIndex2) <=> v129(constB2, bitIndex2))) | v90(constB2, bitIndex2) | (~v129(constB2, bitIndex2))),
% 14.09/9.32 inference(tautology,[status(thm)],[])).
% 14.09/9.32 tff(5218,plain,
% 14.09/9.32 (v90(constB2, bitIndex2)),
% 14.09/9.32 inference(unit_resolution,[status(thm)],[5217, 5216, 5143])).
% 14.09/9.32 tff(5219,plain,
% 14.09/9.32 ((~(v90(constB3, bitIndex2) <=> v90(constB2, bitIndex2))) | v90(constB3, bitIndex2) | (~v90(constB2, bitIndex2))),
% 14.09/9.32 inference(tautology,[status(thm)],[])).
% 14.09/9.32 tff(5220,plain,
% 14.09/9.32 (v90(constB3, bitIndex2)),
% 14.09/9.32 inference(unit_resolution,[status(thm)],[5219, 5218, 4900])).
% 14.09/9.32 tff(5221,plain,
% 14.09/9.32 (((~![B: $i] : ((~less_3(B)) | (v90(constB3, B) <=> v90(constB2, B)))) | ((~less_3(bitIndex0)) | (v90(constB3, bitIndex0) <=> v90(constB2, bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v90(constB3, B) <=> v90(constB2, B)))) | (~less_3(bitIndex0)) | (v90(constB3, bitIndex0) <=> v90(constB2, bitIndex0)))),
% 14.09/9.32 inference(rewrite,[status(thm)],[])).
% 14.09/9.32 tff(5222,plain,
% 14.09/9.32 ((~![B: $i] : ((~less_3(B)) | (v90(constB3, B) <=> v90(constB2, B)))) | ((~less_3(bitIndex0)) | (v90(constB3, bitIndex0) <=> v90(constB2, bitIndex0)))),
% 14.09/9.32 inference(quant_inst,[status(thm)],[])).
% 14.09/9.32 tff(5223,plain,
% 14.09/9.32 ((~![B: $i] : ((~less_3(B)) | (v90(constB3, B) <=> v90(constB2, B)))) | (~less_3(bitIndex0)) | (v90(constB3, bitIndex0) <=> v90(constB2, bitIndex0))),
% 14.09/9.32 inference(modus_ponens,[status(thm)],[5222, 5221])).
% 14.09/9.32 tff(5224,plain,
% 14.09/9.32 (v90(constB3, bitIndex0) <=> v90(constB2, bitIndex0)),
% 14.09/9.32 inference(unit_resolution,[status(thm)],[5223, 5004, 4896])).
% 14.09/9.32 tff(5225,plain,
% 14.09/9.32 (((~![B: $i] : ((~less_3(B)) | (v90(constB2, B) <=> v129(constB2, B)))) | ((~less_3(bitIndex0)) | (v90(constB2, bitIndex0) <=> v129(constB2, bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v90(constB2, B) <=> v129(constB2, B)))) | (~less_3(bitIndex0)) | (v90(constB2, bitIndex0) <=> v129(constB2, bitIndex0)))),
% 14.09/9.32 inference(rewrite,[status(thm)],[])).
% 14.09/9.32 tff(5226,plain,
% 14.09/9.32 ((~![B: $i] : ((~less_3(B)) | (v90(constB2, B) <=> v129(constB2, B)))) | ((~less_3(bitIndex0)) | (v90(constB2, bitIndex0) <=> v129(constB2, bitIndex0)))),
% 14.09/9.32 inference(quant_inst,[status(thm)],[])).
% 14.09/9.32 tff(5227,plain,
% 14.09/9.32 ((~![B: $i] : ((~less_3(B)) | (v90(constB2, B) <=> v129(constB2, B)))) | (~less_3(bitIndex0)) | (v90(constB2, bitIndex0) <=> v129(constB2, bitIndex0))),
% 14.09/9.32 inference(modus_ponens,[status(thm)],[5226, 5225])).
% 14.09/9.32 tff(5228,plain,
% 14.09/9.32 (v90(constB2, bitIndex0) <=> v129(constB2, bitIndex0)),
% 14.09/9.32 inference(unit_resolution,[status(thm)],[5227, 5004, 5139])).
% 14.09/9.32 tff(5229,plain,
% 14.09/9.32 (((~![B: $i] : ((~less_3(B)) | (v129(constB2, B) <=> v127(constB1, B)))) | ((~less_3(bitIndex0)) | (v129(constB2, bitIndex0) <=> v127(constB1, bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v129(constB2, B) <=> v127(constB1, B)))) | (~less_3(bitIndex0)) | (v129(constB2, bitIndex0) <=> v127(constB1, bitIndex0)))),
% 14.09/9.32 inference(rewrite,[status(thm)],[])).
% 14.09/9.32 tff(5230,plain,
% 14.09/9.32 ((~![B: $i] : ((~less_3(B)) | (v129(constB2, B) <=> v127(constB1, B)))) | ((~less_3(bitIndex0)) | (v129(constB2, bitIndex0) <=> v127(constB1, bitIndex0)))),
% 14.09/9.32 inference(quant_inst,[status(thm)],[])).
% 14.09/9.32 tff(5231,plain,
% 14.09/9.32 ((~![B: $i] : ((~less_3(B)) | (v129(constB2, B) <=> v127(constB1, B)))) | (~less_3(bitIndex0)) | (v129(constB2, bitIndex0) <=> v127(constB1, bitIndex0))),
% 14.09/9.32 inference(modus_ponens,[status(thm)],[5230, 5229])).
% 14.09/9.32 tff(5232,plain,
% 14.09/9.32 (v129(constB2, bitIndex0) <=> v127(constB1, bitIndex0)),
% 14.09/9.32 inference(unit_resolution,[status(thm)],[5231, 5004, 5160])).
% 14.09/9.32 tff(5233,plain,
% 14.09/9.32 (((~![B: $i] : ((~less_3(B)) | (v127(constB1, B) <=> v130(constB1, B)))) | ((~less_3(bitIndex0)) | (v127(constB1, bitIndex0) <=> v130(constB1, bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v127(constB1, B) <=> v130(constB1, B)))) | (~less_3(bitIndex0)) | (v127(constB1, bitIndex0) <=> v130(constB1, bitIndex0)))),
% 14.09/9.32 inference(rewrite,[status(thm)],[])).
% 14.09/9.32 tff(5234,plain,
% 14.09/9.32 ((~![B: $i] : ((~less_3(B)) | (v127(constB1, B) <=> v130(constB1, B)))) | ((~less_3(bitIndex0)) | (v127(constB1, bitIndex0) <=> v130(constB1, bitIndex0)))),
% 14.09/9.32 inference(quant_inst,[status(thm)],[])).
% 14.09/9.32 tff(5235,plain,
% 14.09/9.32 ((~![B: $i] : ((~less_3(B)) | (v127(constB1, B) <=> v130(constB1, B)))) | (~less_3(bitIndex0)) | (v127(constB1, bitIndex0) <=> v130(constB1, bitIndex0))),
% 14.09/9.32 inference(modus_ponens,[status(thm)],[5234, 5233])).
% 14.09/9.32 tff(5236,plain,
% 14.09/9.32 (v127(constB1, bitIndex0) <=> v130(constB1, bitIndex0)),
% 14.09/9.32 inference(unit_resolution,[status(thm)],[5235, 5004, 5181])).
% 14.09/9.32 tff(5237,plain,
% 14.09/9.32 (((~![B: $i] : ((~less_3(B)) | (v130(constB1, B) <=> b100(B)))) | ((~less_3(bitIndex0)) | (v130(constB1, bitIndex0) <=> b100(bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v130(constB1, B) <=> b100(B)))) | (~less_3(bitIndex0)) | (v130(constB1, bitIndex0) <=> b100(bitIndex0)))),
% 14.09/9.32 inference(rewrite,[status(thm)],[])).
% 14.09/9.32 tff(5238,plain,
% 14.09/9.32 ((~![B: $i] : ((~less_3(B)) | (v130(constB1, B) <=> b100(B)))) | ((~less_3(bitIndex0)) | (v130(constB1, bitIndex0) <=> b100(bitIndex0)))),
% 14.09/9.32 inference(quant_inst,[status(thm)],[])).
% 14.09/9.32 tff(5239,plain,
% 14.09/9.32 ((~![B: $i] : ((~less_3(B)) | (v130(constB1, B) <=> b100(B)))) | (~less_3(bitIndex0)) | (v130(constB1, bitIndex0) <=> b100(bitIndex0))),
% 14.09/9.32 inference(modus_ponens,[status(thm)],[5238, 5237])).
% 14.09/9.32 tff(5240,plain,
% 14.09/9.32 (v130(constB1, bitIndex0) <=> b100(bitIndex0)),
% 14.09/9.32 inference(unit_resolution,[status(thm)],[5239, 5004, 5202])).
% 14.09/9.32 tff(5241,plain,
% 14.09/9.32 ((~b100(bitIndex0)) <=> (~b100(bitIndex0))),
% 14.09/9.32 inference(rewrite,[status(thm)],[])).
% 14.09/9.32 tff(5242,axiom,(~b100(bitIndex0)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bitBlastConstant_12')).
% 14.09/9.32 tff(5243,plain,
% 14.09/9.32 (~b100(bitIndex0)),
% 14.09/9.32 inference(modus_ponens,[status(thm)],[5242, 5241])).
% 14.09/9.32 tff(5244,plain,
% 14.09/9.32 ((~(v130(constB1, bitIndex0) <=> b100(bitIndex0))) | (~v130(constB1, bitIndex0)) | b100(bitIndex0)),
% 14.09/9.32 inference(tautology,[status(thm)],[])).
% 14.09/9.32 tff(5245,plain,
% 14.09/9.32 ((~(v130(constB1, bitIndex0) <=> b100(bitIndex0))) | (~v130(constB1, bitIndex0))),
% 14.09/9.32 inference(unit_resolution,[status(thm)],[5244, 5243])).
% 14.09/9.32 tff(5246,plain,
% 14.09/9.32 (~v130(constB1, bitIndex0)),
% 14.09/9.32 inference(unit_resolution,[status(thm)],[5245, 5240])).
% 14.09/9.32 tff(5247,plain,
% 14.09/9.32 ((~(v127(constB1, bitIndex0) <=> v130(constB1, bitIndex0))) | (~v127(constB1, bitIndex0)) | v130(constB1, bitIndex0)),
% 14.09/9.32 inference(tautology,[status(thm)],[])).
% 14.09/9.32 tff(5248,plain,
% 14.09/9.32 (~v127(constB1, bitIndex0)),
% 14.09/9.32 inference(unit_resolution,[status(thm)],[5247, 5246, 5236])).
% 14.09/9.32 tff(5249,plain,
% 14.09/9.32 ((~(v129(constB2, bitIndex0) <=> v127(constB1, bitIndex0))) | (~v129(constB2, bitIndex0)) | v127(constB1, bitIndex0)),
% 14.09/9.32 inference(tautology,[status(thm)],[])).
% 14.09/9.32 tff(5250,plain,
% 14.09/9.32 (~v129(constB2, bitIndex0)),
% 14.09/9.32 inference(unit_resolution,[status(thm)],[5249, 5248, 5232])).
% 14.09/9.32 tff(5251,plain,
% 14.09/9.32 ((~(v90(constB2, bitIndex0) <=> v129(constB2, bitIndex0))) | (~v90(constB2, bitIndex0)) | v129(constB2, bitIndex0)),
% 14.09/9.32 inference(tautology,[status(thm)],[])).
% 14.09/9.32 tff(5252,plain,
% 14.09/9.32 (~v90(constB2, bitIndex0)),
% 14.09/9.32 inference(unit_resolution,[status(thm)],[5251, 5250, 5228])).
% 14.09/9.32 tff(5253,plain,
% 14.09/9.32 ((~(v90(constB3, bitIndex0) <=> v90(constB2, bitIndex0))) | (~v90(constB3, bitIndex0)) | v90(constB2, bitIndex0)),
% 14.09/9.32 inference(tautology,[status(thm)],[])).
% 14.09/9.32 tff(5254,plain,
% 14.09/9.32 (~v90(constB3, bitIndex0)),
% 14.09/9.32 inference(unit_resolution,[status(thm)],[5253, 5252, 5224])).
% 14.09/9.32 tff(5255,plain,
% 14.09/9.32 (((~![B: $i] : ((~less_3(B)) | (v90(constB3, B) <=> v90(constB2, B)))) | ((~less_3(bitIndex1)) | (v90(constB3, bitIndex1) <=> v90(constB2, bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v90(constB3, B) <=> v90(constB2, B)))) | (~less_3(bitIndex1)) | (v90(constB3, bitIndex1) <=> v90(constB2, bitIndex1)))),
% 14.09/9.32 inference(rewrite,[status(thm)],[])).
% 14.09/9.32 tff(5256,plain,
% 14.09/9.32 ((~![B: $i] : ((~less_3(B)) | (v90(constB3, B) <=> v90(constB2, B)))) | ((~less_3(bitIndex1)) | (v90(constB3, bitIndex1) <=> v90(constB2, bitIndex1)))),
% 14.09/9.32 inference(quant_inst,[status(thm)],[])).
% 14.09/9.32 tff(5257,plain,
% 14.09/9.32 ((~![B: $i] : ((~less_3(B)) | (v90(constB3, B) <=> v90(constB2, B)))) | (~less_3(bitIndex1)) | (v90(constB3, bitIndex1) <=> v90(constB2, bitIndex1))),
% 14.09/9.32 inference(modus_ponens,[status(thm)],[5256, 5255])).
% 14.09/9.32 tff(5258,plain,
% 14.09/9.32 (v90(constB3, bitIndex1) <=> v90(constB2, bitIndex1)),
% 14.09/9.32 inference(unit_resolution,[status(thm)],[5257, 5017, 4896])).
% 14.09/9.32 tff(5259,plain,
% 14.09/9.32 (((~![B: $i] : ((~less_3(B)) | (v90(constB2, B) <=> v129(constB2, B)))) | ((~less_3(bitIndex1)) | (v90(constB2, bitIndex1) <=> v129(constB2, bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v90(constB2, B) <=> v129(constB2, B)))) | (~less_3(bitIndex1)) | (v90(constB2, bitIndex1) <=> v129(constB2, bitIndex1)))),
% 14.09/9.32 inference(rewrite,[status(thm)],[])).
% 14.09/9.32 tff(5260,plain,
% 14.09/9.32 ((~![B: $i] : ((~less_3(B)) | (v90(constB2, B) <=> v129(constB2, B)))) | ((~less_3(bitIndex1)) | (v90(constB2, bitIndex1) <=> v129(constB2, bitIndex1)))),
% 14.09/9.32 inference(quant_inst,[status(thm)],[])).
% 14.09/9.32 tff(5261,plain,
% 14.09/9.32 ((~![B: $i] : ((~less_3(B)) | (v90(constB2, B) <=> v129(constB2, B)))) | (~less_3(bitIndex1)) | (v90(constB2, bitIndex1) <=> v129(constB2, bitIndex1))),
% 14.09/9.32 inference(modus_ponens,[status(thm)],[5260, 5259])).
% 14.09/9.32 tff(5262,plain,
% 14.09/9.32 (v90(constB2, bitIndex1) <=> v129(constB2, bitIndex1)),
% 14.09/9.32 inference(unit_resolution,[status(thm)],[5261, 5017, 5139])).
% 14.09/9.32 tff(5263,plain,
% 14.09/9.32 (((~![B: $i] : ((~less_3(B)) | (v129(constB2, B) <=> v127(constB1, B)))) | ((~less_3(bitIndex1)) | (v129(constB2, bitIndex1) <=> v127(constB1, bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v129(constB2, B) <=> v127(constB1, B)))) | (~less_3(bitIndex1)) | (v129(constB2, bitIndex1) <=> v127(constB1, bitIndex1)))),
% 14.09/9.32 inference(rewrite,[status(thm)],[])).
% 14.09/9.32 tff(5264,plain,
% 14.09/9.32 ((~![B: $i] : ((~less_3(B)) | (v129(constB2, B) <=> v127(constB1, B)))) | ((~less_3(bitIndex1)) | (v129(constB2, bitIndex1) <=> v127(constB1, bitIndex1)))),
% 14.09/9.32 inference(quant_inst,[status(thm)],[])).
% 14.09/9.32 tff(5265,plain,
% 14.09/9.32 ((~![B: $i] : ((~less_3(B)) | (v129(constB2, B) <=> v127(constB1, B)))) | (~less_3(bitIndex1)) | (v129(constB2, bitIndex1) <=> v127(constB1, bitIndex1))),
% 14.09/9.32 inference(modus_ponens,[status(thm)],[5264, 5263])).
% 14.09/9.32 tff(5266,plain,
% 14.09/9.32 (v129(constB2, bitIndex1) <=> v127(constB1, bitIndex1)),
% 14.09/9.32 inference(unit_resolution,[status(thm)],[5265, 5017, 5160])).
% 14.09/9.32 tff(5267,plain,
% 14.09/9.32 (((~![B: $i] : ((~less_3(B)) | (v127(constB1, B) <=> v130(constB1, B)))) | ((~less_3(bitIndex1)) | (v127(constB1, bitIndex1) <=> v130(constB1, bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v127(constB1, B) <=> v130(constB1, B)))) | (~less_3(bitIndex1)) | (v127(constB1, bitIndex1) <=> v130(constB1, bitIndex1)))),
% 14.09/9.32 inference(rewrite,[status(thm)],[])).
% 14.09/9.32 tff(5268,plain,
% 14.09/9.32 ((~![B: $i] : ((~less_3(B)) | (v127(constB1, B) <=> v130(constB1, B)))) | ((~less_3(bitIndex1)) | (v127(constB1, bitIndex1) <=> v130(constB1, bitIndex1)))),
% 14.09/9.32 inference(quant_inst,[status(thm)],[])).
% 14.09/9.32 tff(5269,plain,
% 14.09/9.32 ((~![B: $i] : ((~less_3(B)) | (v127(constB1, B) <=> v130(constB1, B)))) | (~less_3(bitIndex1)) | (v127(constB1, bitIndex1) <=> v130(constB1, bitIndex1))),
% 14.09/9.32 inference(modus_ponens,[status(thm)],[5268, 5267])).
% 14.09/9.32 tff(5270,plain,
% 14.09/9.32 (v127(constB1, bitIndex1) <=> v130(constB1, bitIndex1)),
% 14.09/9.32 inference(unit_resolution,[status(thm)],[5269, 5017, 5181])).
% 14.09/9.32 tff(5271,plain,
% 14.09/9.32 (((~![B: $i] : ((~less_3(B)) | (v130(constB1, B) <=> b100(B)))) | ((~less_3(bitIndex1)) | (v130(constB1, bitIndex1) <=> b100(bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v130(constB1, B) <=> b100(B)))) | (~less_3(bitIndex1)) | (v130(constB1, bitIndex1) <=> b100(bitIndex1)))),
% 14.09/9.32 inference(rewrite,[status(thm)],[])).
% 14.09/9.32 tff(5272,plain,
% 14.09/9.32 ((~![B: $i] : ((~less_3(B)) | (v130(constB1, B) <=> b100(B)))) | ((~less_3(bitIndex1)) | (v130(constB1, bitIndex1) <=> b100(bitIndex1)))),
% 14.09/9.32 inference(quant_inst,[status(thm)],[])).
% 14.09/9.32 tff(5273,plain,
% 14.09/9.32 ((~![B: $i] : ((~less_3(B)) | (v130(constB1, B) <=> b100(B)))) | (~less_3(bitIndex1)) | (v130(constB1, bitIndex1) <=> b100(bitIndex1))),
% 14.09/9.32 inference(modus_ponens,[status(thm)],[5272, 5271])).
% 14.09/9.32 tff(5274,plain,
% 14.09/9.32 (v130(constB1, bitIndex1) <=> b100(bitIndex1)),
% 14.09/9.32 inference(unit_resolution,[status(thm)],[5273, 5017, 5202])).
% 14.09/9.32 tff(5275,plain,
% 14.09/9.32 ((~b100(bitIndex1)) <=> (~b100(bitIndex1))),
% 14.09/9.32 inference(rewrite,[status(thm)],[])).
% 14.09/9.32 tff(5276,axiom,(~b100(bitIndex1)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bitBlastConstant_13')).
% 14.09/9.32 tff(5277,plain,
% 14.09/9.32 (~b100(bitIndex1)),
% 14.09/9.32 inference(modus_ponens,[status(thm)],[5276, 5275])).
% 14.09/9.32 tff(5278,plain,
% 14.09/9.32 ((~(v130(constB1, bitIndex1) <=> b100(bitIndex1))) | (~v130(constB1, bitIndex1)) | b100(bitIndex1)),
% 14.09/9.32 inference(tautology,[status(thm)],[])).
% 14.09/9.32 tff(5279,plain,
% 14.09/9.32 ((~(v130(constB1, bitIndex1) <=> b100(bitIndex1))) | (~v130(constB1, bitIndex1))),
% 14.09/9.32 inference(unit_resolution,[status(thm)],[5278, 5277])).
% 14.09/9.32 tff(5280,plain,
% 14.09/9.32 (~v130(constB1, bitIndex1)),
% 14.09/9.32 inference(unit_resolution,[status(thm)],[5279, 5274])).
% 14.09/9.32 tff(5281,plain,
% 14.09/9.32 ((~(v127(constB1, bitIndex1) <=> v130(constB1, bitIndex1))) | (~v127(constB1, bitIndex1)) | v130(constB1, bitIndex1)),
% 14.09/9.32 inference(tautology,[status(thm)],[])).
% 14.09/9.32 tff(5282,plain,
% 14.09/9.32 (~v127(constB1, bitIndex1)),
% 14.09/9.32 inference(unit_resolution,[status(thm)],[5281, 5280, 5270])).
% 14.09/9.32 tff(5283,plain,
% 14.09/9.32 ((~(v129(constB2, bitIndex1) <=> v127(constB1, bitIndex1))) | (~v129(constB2, bitIndex1)) | v127(constB1, bitIndex1)),
% 14.09/9.32 inference(tautology,[status(thm)],[])).
% 14.09/9.32 tff(5284,plain,
% 14.09/9.32 (~v129(constB2, bitIndex1)),
% 14.09/9.32 inference(unit_resolution,[status(thm)],[5283, 5282, 5266])).
% 14.09/9.32 tff(5285,plain,
% 14.09/9.32 ((~(v90(constB2, bitIndex1) <=> v129(constB2, bitIndex1))) | (~v90(constB2, bitIndex1)) | v129(constB2, bitIndex1)),
% 14.09/9.32 inference(tautology,[status(thm)],[])).
% 14.09/9.32 tff(5286,plain,
% 14.09/9.32 (~v90(constB2, bitIndex1)),
% 14.09/9.32 inference(unit_resolution,[status(thm)],[5285, 5284, 5262])).
% 14.09/9.32 tff(5287,plain,
% 14.09/9.32 ((~(v90(constB3, bitIndex1) <=> v90(constB2, bitIndex1))) | (~v90(constB3, bitIndex1)) | v90(constB2, bitIndex1)),
% 14.09/9.32 inference(tautology,[status(thm)],[])).
% 14.09/9.32 tff(5288,plain,
% 14.09/9.32 (~v90(constB3, bitIndex1)),
% 14.09/9.32 inference(unit_resolution,[status(thm)],[5287, 5286, 5258])).
% 14.09/9.32 tff(5289,plain,
% 14.09/9.32 ((~((~v90(constB3, bitIndex2)) | v90(constB3, bitIndex1) | v90(constB3, bitIndex0))) | (~v90(constB3, bitIndex2)) | v90(constB3, bitIndex1) | v90(constB3, bitIndex0)),
% 14.09/9.32 inference(tautology,[status(thm)],[])).
% 14.09/9.32 tff(5290,plain,
% 14.09/9.32 (~((~v90(constB3, bitIndex2)) | v90(constB3, bitIndex1) | v90(constB3, bitIndex0))),
% 14.09/9.32 inference(unit_resolution,[status(thm)],[5289, 5288, 5254, 5220])).
% 14.09/9.32 tff(5291,plain,
% 14.09/9.32 ((~(v123(constB3) <=> (~((~v90(constB3, bitIndex2)) | v90(constB3, bitIndex1) | v90(constB3, bitIndex0))))) | v123(constB3) | ((~v90(constB3, bitIndex2)) | v90(constB3, bitIndex1) | v90(constB3, bitIndex0))),
% 14.09/9.32 inference(tautology,[status(thm)],[])).
% 14.09/9.32 tff(5292,plain,
% 14.09/9.32 (v123(constB3)),
% 14.09/9.32 inference(unit_resolution,[status(thm)],[5291, 5290, 4868])).
% 14.09/9.32 tff(5293,plain,
% 14.09/9.32 ((v116(constB3) | v123(constB3)) | (~v123(constB3))),
% 14.09/9.32 inference(tautology,[status(thm)],[])).
% 14.09/9.32 tff(5294,plain,
% 14.09/9.32 (v116(constB3) | v123(constB3)),
% 14.09/9.32 inference(unit_resolution,[status(thm)],[5293, 5292])).
% 14.09/9.32 tff(5295,plain,
% 14.09/9.32 ((~(v115(constB3) <=> (v116(constB3) | v123(constB3)))) | v115(constB3) | (~(v116(constB3) | v123(constB3)))),
% 14.09/9.32 inference(tautology,[status(thm)],[])).
% 14.09/9.32 tff(5296,plain,
% 14.09/9.32 (v115(constB3)),
% 14.09/9.32 inference(unit_resolution,[status(thm)],[5295, 5294, 4861])).
% 14.09/9.32 tff(5297,plain,
% 14.09/9.32 ((v115(constB3) | v124(constB3)) | (~v115(constB3))),
% 14.09/9.32 inference(tautology,[status(thm)],[])).
% 14.09/9.32 tff(5298,plain,
% 14.09/9.32 (v115(constB3) | v124(constB3)),
% 14.09/9.32 inference(unit_resolution,[status(thm)],[5297, 5296])).
% 14.09/9.32 tff(5299,plain,
% 14.09/9.32 ((~(v114(constB3) <=> (v115(constB3) | v124(constB3)))) | v114(constB3) | (~(v115(constB3) | v124(constB3)))),
% 14.09/9.32 inference(tautology,[status(thm)],[])).
% 14.09/9.32 tff(5300,plain,
% 14.09/9.32 (v114(constB3)),
% 14.09/9.32 inference(unit_resolution,[status(thm)],[5299, 5298, 4859])).
% 14.09/9.32 tff(5301,plain,
% 14.09/9.32 ((v114(constB3) | v125(constB3)) | (~v114(constB3))),
% 14.09/9.32 inference(tautology,[status(thm)],[])).
% 14.09/9.32 tff(5302,plain,
% 14.09/9.32 (v114(constB3) | v125(constB3)),
% 14.09/9.32 inference(unit_resolution,[status(thm)],[5301, 5300])).
% 14.09/9.32 tff(5303,plain,
% 14.09/9.32 ((~(v113(constB3) <=> (v114(constB3) | v125(constB3)))) | v113(constB3) | (~(v114(constB3) | v125(constB3)))),
% 14.09/9.32 inference(tautology,[status(thm)],[])).
% 14.09/9.32 tff(5304,plain,
% 14.09/9.32 (v113(constB3)),
% 14.09/9.32 inference(unit_resolution,[status(thm)],[5303, 5302, 4857])).
% 14.09/9.32 tff(5305,plain,
% 14.09/9.32 ((~![VarCurr: $i] : ((~v126(VarCurr)) <=> v111(VarCurr))) | ((~v126(constB3)) <=> v111(constB3))),
% 14.09/9.32 inference(quant_inst,[status(thm)],[])).
% 14.09/9.32 tff(5306,plain,
% 14.09/9.32 ((~v126(constB3)) <=> v111(constB3)),
% 14.09/9.32 inference(unit_resolution,[status(thm)],[5305, 5074])).
% 14.09/9.32 tff(5307,plain,
% 14.09/9.32 ((~![VarCurr: $i] : (v111(VarCurr) <=> v26(VarCurr))) | (v111(constB3) <=> v26(constB3))),
% 14.09/9.32 inference(quant_inst,[status(thm)],[])).
% 14.09/9.32 tff(5308,plain,
% 14.09/9.32 (v111(constB3) <=> v26(constB3)),
% 14.09/9.32 inference(unit_resolution,[status(thm)],[5307, 5086])).
% 14.09/9.32 tff(5309,plain,
% 14.09/9.32 ((~![VarCurr: $i] : (~v26(VarCurr))) | (~v26(constB3))),
% 14.09/9.32 inference(quant_inst,[status(thm)],[])).
% 14.09/9.32 tff(5310,plain,
% 14.09/9.32 (~v26(constB3)),
% 14.09/9.32 inference(unit_resolution,[status(thm)],[5309, 5098])).
% 14.09/9.32 tff(5311,plain,
% 14.09/9.32 ((~(v111(constB3) <=> v26(constB3))) | (~v111(constB3)) | v26(constB3)),
% 14.09/9.32 inference(tautology,[status(thm)],[])).
% 14.09/9.32 tff(5312,plain,
% 14.09/9.32 ((~(v111(constB3) <=> v26(constB3))) | (~v111(constB3))),
% 14.09/9.32 inference(unit_resolution,[status(thm)],[5311, 5310])).
% 14.09/9.32 tff(5313,plain,
% 14.09/9.32 (~v111(constB3)),
% 14.09/9.32 inference(unit_resolution,[status(thm)],[5312, 5308])).
% 14.09/9.32 tff(5314,plain,
% 14.09/9.32 ((~((~v126(constB3)) <=> v111(constB3))) | v126(constB3) | v111(constB3)),
% 14.09/9.32 inference(tautology,[status(thm)],[])).
% 14.09/9.32 tff(5315,plain,
% 14.09/9.32 ((~((~v126(constB3)) <=> v111(constB3))) | v126(constB3)),
% 14.09/9.32 inference(unit_resolution,[status(thm)],[5314, 5313])).
% 14.09/9.32 tff(5316,plain,
% 14.09/9.32 (v126(constB3)),
% 14.09/9.32 inference(unit_resolution,[status(thm)],[5315, 5306])).
% 14.09/9.32 tff(5317,plain,
% 14.09/9.32 ((~((~v113(constB3)) | (~v126(constB3)))) | (~v113(constB3)) | (~v126(constB3))),
% 14.09/9.32 inference(tautology,[status(thm)],[])).
% 14.09/9.32 tff(5318,plain,
% 14.09/9.32 ((~((~v113(constB3)) | (~v126(constB3)))) | (~v113(constB3))),
% 14.09/9.32 inference(unit_resolution,[status(thm)],[5317, 5316])).
% 14.09/9.32 tff(5319,plain,
% 14.09/9.32 (~((~v113(constB3)) | (~v126(constB3)))),
% 14.09/9.32 inference(unit_resolution,[status(thm)],[5318, 5304])).
% 14.09/9.32 tff(5320,plain,
% 14.09/9.32 ((~(v112(constB3) <=> (~((~v113(constB3)) | (~v126(constB3)))))) | v112(constB3) | ((~v113(constB3)) | (~v126(constB3)))),
% 14.09/9.32 inference(tautology,[status(thm)],[])).
% 14.09/9.32 tff(5321,plain,
% 14.09/9.32 (v112(constB3)),
% 14.09/9.32 inference(unit_resolution,[status(thm)],[5320, 5319, 4855])).
% 14.09/9.32 tff(5322,plain,
% 14.09/9.32 ((v111(constB3) | v112(constB3)) | (~v112(constB3))),
% 14.09/9.32 inference(tautology,[status(thm)],[])).
% 14.09/9.32 tff(5323,plain,
% 14.09/9.32 (v111(constB3) | v112(constB3)),
% 14.09/9.32 inference(unit_resolution,[status(thm)],[5322, 5321])).
% 14.09/9.32 tff(5324,plain,
% 14.09/9.32 ((~(v108(constB3) <=> (v111(constB3) | v112(constB3)))) | v108(constB3) | (~(v111(constB3) | v112(constB3)))),
% 14.09/9.32 inference(tautology,[status(thm)],[])).
% 14.09/9.32 tff(5325,plain,
% 14.09/9.32 (v108(constB3)),
% 14.09/9.32 inference(unit_resolution,[status(thm)],[5324, 5323, 4853])).
% 14.09/9.32 tff(5326,plain,
% 14.09/9.32 ((~(v110(constB4) <=> v108(constB3))) | v110(constB4) | (~v108(constB3))),
% 14.09/9.32 inference(tautology,[status(thm)],[])).
% 14.09/9.32 tff(5327,plain,
% 14.09/9.32 (v110(constB4)),
% 14.09/9.32 inference(unit_resolution,[status(thm)],[5326, 5325, 4851])).
% 14.09/9.32 tff(5328,plain,
% 14.09/9.32 ((~((~v101(constB4)) | (~v110(constB4)))) | (~v101(constB4)) | (~v110(constB4))),
% 14.09/9.32 inference(tautology,[status(thm)],[])).
% 14.09/9.32 tff(5329,plain,
% 14.09/9.32 (~((~v101(constB4)) | (~v110(constB4)))),
% 14.09/9.32 inference(unit_resolution,[status(thm)],[5328, 5327, 4847])).
% 14.09/9.32 tff(5330,plain,
% 14.09/9.32 ((~(v100(constB4) <=> (~((~v101(constB4)) | (~v110(constB4)))))) | v100(constB4) | ((~v101(constB4)) | (~v110(constB4)))),
% 14.09/9.32 inference(tautology,[status(thm)],[])).
% 14.09/9.32 tff(5331,plain,
% 14.09/9.32 (v100(constB4)),
% 14.09/9.32 inference(unit_resolution,[status(thm)],[5330, 5329, 4816])).
% 14.09/9.32 tff(5332,plain,
% 14.09/9.32 (((~![VarNext: $i] : ((~v100(VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v129(VarNext, B))))) | ((~v100(constB4)) | ![B: $i] : ((~less_3(B)) | (v90(constB4, B) <=> v129(constB4, B))))) <=> ((~![VarNext: $i] : ((~v100(VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v129(VarNext, B))))) | (~v100(constB4)) | ![B: $i] : ((~less_3(B)) | (v90(constB4, B) <=> v129(constB4, B))))),
% 14.09/9.32 inference(rewrite,[status(thm)],[])).
% 14.09/9.32 tff(5333,plain,
% 14.09/9.32 ((~![VarNext: $i] : ((~v100(VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v129(VarNext, B))))) | ((~v100(constB4)) | ![B: $i] : ((~less_3(B)) | (v90(constB4, B) <=> v129(constB4, B))))),
% 14.09/9.32 inference(quant_inst,[status(thm)],[])).
% 14.09/9.32 tff(5334,plain,
% 14.09/9.32 ((~![VarNext: $i] : ((~v100(VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v129(VarNext, B))))) | (~v100(constB4)) | ![B: $i] : ((~less_3(B)) | (v90(constB4, B) <=> v129(constB4, B)))),
% 14.09/9.32 inference(modus_ponens,[status(thm)],[5333, 5332])).
% 14.09/9.32 tff(5335,plain,
% 14.09/9.32 ((~v100(constB4)) | ![B: $i] : ((~less_3(B)) | (v90(constB4, B) <=> v129(constB4, B)))),
% 14.09/9.32 inference(unit_resolution,[status(thm)],[5334, 5134])).
% 14.09/9.32 tff(5336,plain,
% 14.09/9.32 (![B: $i] : ((~less_3(B)) | (v90(constB4, B) <=> v129(constB4, B)))),
% 14.09/9.32 inference(unit_resolution,[status(thm)],[5335, 5331])).
% 14.09/9.32 tff(5337,plain,
% 14.09/9.32 (((~![B: $i] : ((~less_3(B)) | (v90(constB4, B) <=> v129(constB4, B)))) | ((~less_3(bitIndex2)) | (v90(constB4, bitIndex2) <=> v129(constB4, bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v90(constB4, B) <=> v129(constB4, B)))) | (~less_3(bitIndex2)) | (v90(constB4, bitIndex2) <=> v129(constB4, bitIndex2)))),
% 14.09/9.32 inference(rewrite,[status(thm)],[])).
% 14.09/9.32 tff(5338,plain,
% 14.09/9.32 ((~![B: $i] : ((~less_3(B)) | (v90(constB4, B) <=> v129(constB4, B)))) | ((~less_3(bitIndex2)) | (v90(constB4, bitIndex2) <=> v129(constB4, bitIndex2)))),
% 14.09/9.32 inference(quant_inst,[status(thm)],[])).
% 14.09/9.32 tff(5339,plain,
% 14.09/9.32 ((~![B: $i] : ((~less_3(B)) | (v90(constB4, B) <=> v129(constB4, B)))) | (~less_3(bitIndex2)) | (v90(constB4, bitIndex2) <=> v129(constB4, bitIndex2))),
% 14.09/9.32 inference(modus_ponens,[status(thm)],[5338, 5337])).
% 14.09/9.32 tff(5340,plain,
% 14.09/9.32 (v90(constB4, bitIndex2) <=> v129(constB4, bitIndex2)),
% 14.09/9.32 inference(unit_resolution,[status(thm)],[5339, 413, 5336])).
% 14.09/9.32 tff(5341,plain,
% 14.09/9.32 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v129(VarNext, B) <=> v127(VarCurr, B))))) | ((~nextState(constB3, constB4)) | ![B: $i] : ((~less_3(B)) | (v129(constB4, B) <=> v127(constB3, B))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v129(VarNext, B) <=> v127(VarCurr, B))))) | (~nextState(constB3, constB4)) | ![B: $i] : ((~less_3(B)) | (v129(constB4, B) <=> v127(constB3, B))))),
% 14.09/9.32 inference(rewrite,[status(thm)],[])).
% 14.09/9.32 tff(5342,plain,
% 14.09/9.32 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v129(VarNext, B) <=> v127(VarCurr, B))))) | ((~nextState(constB3, constB4)) | ![B: $i] : ((~less_3(B)) | (v129(constB4, B) <=> v127(constB3, B))))),
% 14.09/9.32 inference(quant_inst,[status(thm)],[])).
% 14.09/9.32 tff(5343,plain,
% 14.09/9.32 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v129(VarNext, B) <=> v127(VarCurr, B))))) | (~nextState(constB3, constB4)) | ![B: $i] : ((~less_3(B)) | (v129(constB4, B) <=> v127(constB3, B)))),
% 14.09/9.33 inference(modus_ponens,[status(thm)],[5342, 5341])).
% 14.09/9.33 tff(5344,plain,
% 14.09/9.33 (![B: $i] : ((~less_3(B)) | (v129(constB4, B) <=> v127(constB3, B)))),
% 14.09/9.33 inference(unit_resolution,[status(thm)],[5343, 4812, 5156])).
% 14.09/9.33 tff(5345,plain,
% 14.09/9.33 (((~![B: $i] : ((~less_3(B)) | (v129(constB4, B) <=> v127(constB3, B)))) | ((~less_3(bitIndex2)) | (v129(constB4, bitIndex2) <=> v127(constB3, bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v129(constB4, B) <=> v127(constB3, B)))) | (~less_3(bitIndex2)) | (v129(constB4, bitIndex2) <=> v127(constB3, bitIndex2)))),
% 14.09/9.33 inference(rewrite,[status(thm)],[])).
% 14.09/9.33 tff(5346,plain,
% 14.09/9.33 ((~![B: $i] : ((~less_3(B)) | (v129(constB4, B) <=> v127(constB3, B)))) | ((~less_3(bitIndex2)) | (v129(constB4, bitIndex2) <=> v127(constB3, bitIndex2)))),
% 14.09/9.33 inference(quant_inst,[status(thm)],[])).
% 14.09/9.33 tff(5347,plain,
% 14.09/9.33 ((~![B: $i] : ((~less_3(B)) | (v129(constB4, B) <=> v127(constB3, B)))) | (~less_3(bitIndex2)) | (v129(constB4, bitIndex2) <=> v127(constB3, bitIndex2))),
% 14.09/9.33 inference(modus_ponens,[status(thm)],[5346, 5345])).
% 14.09/9.33 tff(5348,plain,
% 14.09/9.33 (v129(constB4, bitIndex2) <=> v127(constB3, bitIndex2)),
% 14.09/9.33 inference(unit_resolution,[status(thm)],[5347, 413, 5344])).
% 14.09/9.33 tff(5349,plain,
% 14.09/9.33 (((~![VarCurr: $i] : (v111(VarCurr) | ![B: $i] : ((~less_3(B)) | (v127(VarCurr, B) <=> v130(VarCurr, B))))) | (v111(constB3) | ![B: $i] : ((~less_3(B)) | (v127(constB3, B) <=> v130(constB3, B))))) <=> ((~![VarCurr: $i] : (v111(VarCurr) | ![B: $i] : ((~less_3(B)) | (v127(VarCurr, B) <=> v130(VarCurr, B))))) | v111(constB3) | ![B: $i] : ((~less_3(B)) | (v127(constB3, B) <=> v130(constB3, B))))),
% 14.09/9.33 inference(rewrite,[status(thm)],[])).
% 14.09/9.33 tff(5350,plain,
% 14.09/9.33 ((~![VarCurr: $i] : (v111(VarCurr) | ![B: $i] : ((~less_3(B)) | (v127(VarCurr, B) <=> v130(VarCurr, B))))) | (v111(constB3) | ![B: $i] : ((~less_3(B)) | (v127(constB3, B) <=> v130(constB3, B))))),
% 14.09/9.33 inference(quant_inst,[status(thm)],[])).
% 14.09/9.33 tff(5351,plain,
% 14.09/9.33 ((~![VarCurr: $i] : (v111(VarCurr) | ![B: $i] : ((~less_3(B)) | (v127(VarCurr, B) <=> v130(VarCurr, B))))) | v111(constB3) | ![B: $i] : ((~less_3(B)) | (v127(constB3, B) <=> v130(constB3, B)))),
% 14.09/9.33 inference(modus_ponens,[status(thm)],[5350, 5349])).
% 14.09/9.33 tff(5352,plain,
% 14.09/9.33 (![B: $i] : ((~less_3(B)) | (v127(constB3, B) <=> v130(constB3, B)))),
% 14.09/9.33 inference(unit_resolution,[status(thm)],[5351, 5177, 5313])).
% 14.09/9.33 tff(5353,plain,
% 14.09/9.33 (((~![B: $i] : ((~less_3(B)) | (v127(constB3, B) <=> v130(constB3, B)))) | ((~less_3(bitIndex2)) | (v127(constB3, bitIndex2) <=> v130(constB3, bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v127(constB3, B) <=> v130(constB3, B)))) | (~less_3(bitIndex2)) | (v127(constB3, bitIndex2) <=> v130(constB3, bitIndex2)))),
% 14.09/9.33 inference(rewrite,[status(thm)],[])).
% 14.09/9.33 tff(5354,plain,
% 14.09/9.33 ((~![B: $i] : ((~less_3(B)) | (v127(constB3, B) <=> v130(constB3, B)))) | ((~less_3(bitIndex2)) | (v127(constB3, bitIndex2) <=> v130(constB3, bitIndex2)))),
% 14.09/9.33 inference(quant_inst,[status(thm)],[])).
% 14.09/9.33 tff(5355,plain,
% 14.09/9.33 ((~![B: $i] : ((~less_3(B)) | (v127(constB3, B) <=> v130(constB3, B)))) | (~less_3(bitIndex2)) | (v127(constB3, bitIndex2) <=> v130(constB3, bitIndex2))),
% 14.09/9.33 inference(modus_ponens,[status(thm)],[5354, 5353])).
% 14.09/9.33 tff(5356,plain,
% 14.09/9.33 (v127(constB3, bitIndex2) <=> v130(constB3, bitIndex2)),
% 14.09/9.33 inference(unit_resolution,[status(thm)],[5355, 413, 5352])).
% 14.09/9.33 tff(5357,plain,
% 14.09/9.33 (^[VarCurr: $i] : refl(((~v123(VarCurr)) | ![B: $i] : ((~less_3(B)) | (v130(VarCurr, B) <=> b110(B)))) <=> ((~v123(VarCurr)) | ![B: $i] : ((~less_3(B)) | (v130(VarCurr, B) <=> b110(B)))))),
% 14.09/9.33 inference(bind,[status(th)],[])).
% 14.09/9.33 tff(5358,plain,
% 14.09/9.33 (![VarCurr: $i] : ((~v123(VarCurr)) | ![B: $i] : ((~less_3(B)) | (v130(VarCurr, B) <=> b110(B)))) <=> ![VarCurr: $i] : ((~v123(VarCurr)) | ![B: $i] : ((~less_3(B)) | (v130(VarCurr, B) <=> b110(B))))),
% 14.09/9.33 inference(quant_intro,[status(thm)],[5357])).
% 14.09/9.33 tff(5359,plain,
% 14.09/9.33 (^[VarCurr: $i] : rewrite(((~v123(VarCurr)) | ![B: $i] : ((~less_3(B)) | (v130(VarCurr, B) <=> b110(B)))) <=> ((~v123(VarCurr)) | ![B: $i] : ((~less_3(B)) | (v130(VarCurr, B) <=> b110(B)))))),
% 14.09/9.33 inference(bind,[status(th)],[])).
% 14.09/9.33 tff(5360,plain,
% 14.09/9.33 (![VarCurr: $i] : ((~v123(VarCurr)) | ![B: $i] : ((~less_3(B)) | (v130(VarCurr, B) <=> b110(B)))) <=> ![VarCurr: $i] : ((~v123(VarCurr)) | ![B: $i] : ((~less_3(B)) | (v130(VarCurr, B) <=> b110(B))))),
% 14.09/9.33 inference(quant_intro,[status(thm)],[5359])).
% 14.09/9.33 tff(5361,plain,
% 14.09/9.33 (![VarCurr: $i] : ((~v123(VarCurr)) | ![B: $i] : ((~less_3(B)) | (v130(VarCurr, B) <=> b110(B)))) <=> ![VarCurr: $i] : ((~v123(VarCurr)) | ![B: $i] : ((~less_3(B)) | (v130(VarCurr, B) <=> b110(B))))),
% 14.09/9.33 inference(transitivity,[status(thm)],[5360, 5358])).
% 14.09/9.33 tff(5362,plain,
% 14.09/9.33 (![VarCurr: $i] : ((~v123(VarCurr)) | ![B: $i] : ((~less_3(B)) | (v130(VarCurr, B) <=> b110(B)))) <=> ![VarCurr: $i] : ((~v123(VarCurr)) | ![B: $i] : ((~less_3(B)) | (v130(VarCurr, B) <=> b110(B))))),
% 14.09/9.33 inference(rewrite,[status(thm)],[])).
% 14.09/9.33 tff(5363,plain,
% 14.09/9.33 (^[VarCurr: $i] : trans(monotonicity(quant_intro(proof_bind(^[B: $i] : rewrite((less_3(B) => (v130(VarCurr, B) <=> b110(B))) <=> ((~less_3(B)) | (v130(VarCurr, B) <=> b110(B))))), (![B: $i] : (less_3(B) => (v130(VarCurr, B) <=> b110(B))) <=> ![B: $i] : ((~less_3(B)) | (v130(VarCurr, B) <=> b110(B))))), ((v123(VarCurr) => ![B: $i] : (less_3(B) => (v130(VarCurr, B) <=> b110(B)))) <=> (v123(VarCurr) => ![B: $i] : ((~less_3(B)) | (v130(VarCurr, B) <=> b110(B)))))), rewrite((v123(VarCurr) => ![B: $i] : ((~less_3(B)) | (v130(VarCurr, B) <=> b110(B)))) <=> ((~v123(VarCurr)) | ![B: $i] : ((~less_3(B)) | (v130(VarCurr, B) <=> b110(B))))), ((v123(VarCurr) => ![B: $i] : (less_3(B) => (v130(VarCurr, B) <=> b110(B)))) <=> ((~v123(VarCurr)) | ![B: $i] : ((~less_3(B)) | (v130(VarCurr, B) <=> b110(B))))))),
% 14.09/9.33 inference(bind,[status(th)],[])).
% 14.09/9.33 tff(5364,plain,
% 14.09/9.33 (![VarCurr: $i] : (v123(VarCurr) => ![B: $i] : (less_3(B) => (v130(VarCurr, B) <=> b110(B)))) <=> ![VarCurr: $i] : ((~v123(VarCurr)) | ![B: $i] : ((~less_3(B)) | (v130(VarCurr, B) <=> b110(B))))),
% 14.09/9.33 inference(quant_intro,[status(thm)],[5363])).
% 14.09/9.33 tff(5365,axiom,(![VarCurr: $i] : (v123(VarCurr) => ![B: $i] : (less_3(B) => (v130(VarCurr, B) <=> b110(B))))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','addParallelCaseBooleanConditionEqualRanges4')).
% 14.09/9.33 tff(5366,plain,
% 14.09/9.33 (![VarCurr: $i] : ((~v123(VarCurr)) | ![B: $i] : ((~less_3(B)) | (v130(VarCurr, B) <=> b110(B))))),
% 14.09/9.33 inference(modus_ponens,[status(thm)],[5365, 5364])).
% 14.09/9.33 tff(5367,plain,
% 14.09/9.33 (![VarCurr: $i] : ((~v123(VarCurr)) | ![B: $i] : ((~less_3(B)) | (v130(VarCurr, B) <=> b110(B))))),
% 14.09/9.33 inference(modus_ponens,[status(thm)],[5366, 5362])).
% 14.09/9.33 tff(5368,plain,(
% 14.09/9.33 ![VarCurr: $i] : ((~v123(VarCurr)) | ![B: $i] : ((~less_3(B)) | (v130(VarCurr, B) <=> b110(B))))),
% 14.09/9.33 inference(skolemize,[status(sab)],[5367])).
% 14.09/9.33 tff(5369,plain,
% 14.09/9.33 (![VarCurr: $i] : ((~v123(VarCurr)) | ![B: $i] : ((~less_3(B)) | (v130(VarCurr, B) <=> b110(B))))),
% 14.09/9.33 inference(modus_ponens,[status(thm)],[5368, 5361])).
% 14.09/9.33 tff(5370,plain,
% 14.09/9.33 (((~![VarCurr: $i] : ((~v123(VarCurr)) | ![B: $i] : ((~less_3(B)) | (v130(VarCurr, B) <=> b110(B))))) | ((~v123(constB3)) | ![B: $i] : ((~less_3(B)) | (v130(constB3, B) <=> b110(B))))) <=> ((~![VarCurr: $i] : ((~v123(VarCurr)) | ![B: $i] : ((~less_3(B)) | (v130(VarCurr, B) <=> b110(B))))) | (~v123(constB3)) | ![B: $i] : ((~less_3(B)) | (v130(constB3, B) <=> b110(B))))),
% 14.09/9.33 inference(rewrite,[status(thm)],[])).
% 14.09/9.33 tff(5371,plain,
% 14.09/9.33 ((~![VarCurr: $i] : ((~v123(VarCurr)) | ![B: $i] : ((~less_3(B)) | (v130(VarCurr, B) <=> b110(B))))) | ((~v123(constB3)) | ![B: $i] : ((~less_3(B)) | (v130(constB3, B) <=> b110(B))))),
% 14.09/9.33 inference(quant_inst,[status(thm)],[])).
% 14.09/9.33 tff(5372,plain,
% 14.09/9.33 ((~![VarCurr: $i] : ((~v123(VarCurr)) | ![B: $i] : ((~less_3(B)) | (v130(VarCurr, B) <=> b110(B))))) | (~v123(constB3)) | ![B: $i] : ((~less_3(B)) | (v130(constB3, B) <=> b110(B)))),
% 14.09/9.33 inference(modus_ponens,[status(thm)],[5371, 5370])).
% 14.09/9.33 tff(5373,plain,
% 14.09/9.33 ((~v123(constB3)) | ![B: $i] : ((~less_3(B)) | (v130(constB3, B) <=> b110(B)))),
% 14.09/9.33 inference(unit_resolution,[status(thm)],[5372, 5369])).
% 14.09/9.33 tff(5374,plain,
% 14.09/9.33 (![B: $i] : ((~less_3(B)) | (v130(constB3, B) <=> b110(B)))),
% 14.09/9.33 inference(unit_resolution,[status(thm)],[5373, 5292])).
% 14.09/9.33 tff(5375,plain,
% 14.09/9.33 (((~![B: $i] : ((~less_3(B)) | (v130(constB3, B) <=> b110(B)))) | ((~less_3(bitIndex2)) | (v130(constB3, bitIndex2) <=> b110(bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v130(constB3, B) <=> b110(B)))) | (~less_3(bitIndex2)) | (v130(constB3, bitIndex2) <=> b110(bitIndex2)))),
% 14.09/9.33 inference(rewrite,[status(thm)],[])).
% 14.09/9.33 tff(5376,plain,
% 14.09/9.33 ((~![B: $i] : ((~less_3(B)) | (v130(constB3, B) <=> b110(B)))) | ((~less_3(bitIndex2)) | (v130(constB3, bitIndex2) <=> b110(bitIndex2)))),
% 14.09/9.33 inference(quant_inst,[status(thm)],[])).
% 14.09/9.33 tff(5377,plain,
% 14.09/9.33 ((~![B: $i] : ((~less_3(B)) | (v130(constB3, B) <=> b110(B)))) | (~less_3(bitIndex2)) | (v130(constB3, bitIndex2) <=> b110(bitIndex2))),
% 14.09/9.33 inference(modus_ponens,[status(thm)],[5376, 5375])).
% 14.09/9.33 tff(5378,plain,
% 14.09/9.33 (v130(constB3, bitIndex2) <=> b110(bitIndex2)),
% 14.09/9.33 inference(unit_resolution,[status(thm)],[5377, 413, 5374])).
% 14.09/9.33 tff(5379,plain,
% 14.09/9.33 (b110(bitIndex2) <=> b110(bitIndex2)),
% 14.09/9.33 inference(rewrite,[status(thm)],[])).
% 14.09/9.33 tff(5380,axiom,(b110(bitIndex2)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bitBlastConstant_20')).
% 14.09/9.33 tff(5381,plain,
% 14.09/9.33 (b110(bitIndex2)),
% 14.09/9.33 inference(modus_ponens,[status(thm)],[5380, 5379])).
% 14.09/9.33 tff(5382,plain,
% 14.09/9.33 ((~(v130(constB3, bitIndex2) <=> b110(bitIndex2))) | v130(constB3, bitIndex2) | (~b110(bitIndex2))),
% 14.09/9.33 inference(tautology,[status(thm)],[])).
% 14.09/9.33 tff(5383,plain,
% 14.09/9.33 ((~(v130(constB3, bitIndex2) <=> b110(bitIndex2))) | v130(constB3, bitIndex2)),
% 14.09/9.33 inference(unit_resolution,[status(thm)],[5382, 5381])).
% 14.09/9.33 tff(5384,plain,
% 14.09/9.33 (v130(constB3, bitIndex2)),
% 14.09/9.33 inference(unit_resolution,[status(thm)],[5383, 5378])).
% 14.09/9.33 tff(5385,plain,
% 14.09/9.33 ((~(v127(constB3, bitIndex2) <=> v130(constB3, bitIndex2))) | v127(constB3, bitIndex2) | (~v130(constB3, bitIndex2))),
% 14.09/9.33 inference(tautology,[status(thm)],[])).
% 14.09/9.33 tff(5386,plain,
% 14.09/9.33 (v127(constB3, bitIndex2)),
% 14.09/9.33 inference(unit_resolution,[status(thm)],[5385, 5384, 5356])).
% 14.09/9.33 tff(5387,plain,
% 14.09/9.33 ((~(v129(constB4, bitIndex2) <=> v127(constB3, bitIndex2))) | v129(constB4, bitIndex2) | (~v127(constB3, bitIndex2))),
% 14.09/9.33 inference(tautology,[status(thm)],[])).
% 14.09/9.33 tff(5388,plain,
% 14.09/9.33 (v129(constB4, bitIndex2)),
% 14.09/9.33 inference(unit_resolution,[status(thm)],[5387, 5386, 5348])).
% 14.09/9.33 tff(5389,plain,
% 14.09/9.33 ((~(v90(constB4, bitIndex2) <=> v129(constB4, bitIndex2))) | v90(constB4, bitIndex2) | (~v129(constB4, bitIndex2))),
% 14.09/9.33 inference(tautology,[status(thm)],[])).
% 14.09/9.33 tff(5390,plain,
% 14.09/9.33 (v90(constB4, bitIndex2)),
% 14.09/9.33 inference(unit_resolution,[status(thm)],[5389, 5388, 5340])).
% 14.09/9.33 tff(5391,plain,
% 14.09/9.33 ((~(v90(constB5, bitIndex2) <=> v90(constB4, bitIndex2))) | v90(constB5, bitIndex2) | (~v90(constB4, bitIndex2))),
% 14.09/9.33 inference(tautology,[status(thm)],[])).
% 14.09/9.33 tff(5392,plain,
% 14.09/9.33 (v90(constB5, bitIndex2)),
% 14.09/9.33 inference(unit_resolution,[status(thm)],[5391, 5390, 4809])).
% 14.09/9.33 tff(5393,plain,
% 14.09/9.33 (((~![B: $i] : ((~less_3(B)) | (v90(constB5, B) <=> v90(constB4, B)))) | ((~less_3(bitIndex0)) | (v90(constB5, bitIndex0) <=> v90(constB4, bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v90(constB5, B) <=> v90(constB4, B)))) | (~less_3(bitIndex0)) | (v90(constB5, bitIndex0) <=> v90(constB4, bitIndex0)))),
% 14.09/9.33 inference(rewrite,[status(thm)],[])).
% 14.09/9.33 tff(5394,plain,
% 14.09/9.33 ((~![B: $i] : ((~less_3(B)) | (v90(constB5, B) <=> v90(constB4, B)))) | ((~less_3(bitIndex0)) | (v90(constB5, bitIndex0) <=> v90(constB4, bitIndex0)))),
% 14.09/9.33 inference(quant_inst,[status(thm)],[])).
% 14.09/9.33 tff(5395,plain,
% 14.09/9.33 ((~![B: $i] : ((~less_3(B)) | (v90(constB5, B) <=> v90(constB4, B)))) | (~less_3(bitIndex0)) | (v90(constB5, bitIndex0) <=> v90(constB4, bitIndex0))),
% 14.09/9.33 inference(modus_ponens,[status(thm)],[5394, 5393])).
% 14.09/9.33 tff(5396,plain,
% 14.09/9.33 (v90(constB5, bitIndex0) <=> v90(constB4, bitIndex0)),
% 14.09/9.33 inference(unit_resolution,[status(thm)],[5395, 5004, 4805])).
% 14.09/9.33 tff(5397,plain,
% 14.09/9.33 (((~![B: $i] : ((~less_3(B)) | (v90(constB4, B) <=> v129(constB4, B)))) | ((~less_3(bitIndex0)) | (v90(constB4, bitIndex0) <=> v129(constB4, bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v90(constB4, B) <=> v129(constB4, B)))) | (~less_3(bitIndex0)) | (v90(constB4, bitIndex0) <=> v129(constB4, bitIndex0)))),
% 14.09/9.33 inference(rewrite,[status(thm)],[])).
% 14.09/9.33 tff(5398,plain,
% 14.09/9.33 ((~![B: $i] : ((~less_3(B)) | (v90(constB4, B) <=> v129(constB4, B)))) | ((~less_3(bitIndex0)) | (v90(constB4, bitIndex0) <=> v129(constB4, bitIndex0)))),
% 14.09/9.33 inference(quant_inst,[status(thm)],[])).
% 14.09/9.33 tff(5399,plain,
% 14.09/9.33 ((~![B: $i] : ((~less_3(B)) | (v90(constB4, B) <=> v129(constB4, B)))) | (~less_3(bitIndex0)) | (v90(constB4, bitIndex0) <=> v129(constB4, bitIndex0))),
% 14.09/9.33 inference(modus_ponens,[status(thm)],[5398, 5397])).
% 14.09/9.33 tff(5400,plain,
% 14.09/9.33 (v90(constB4, bitIndex0) <=> v129(constB4, bitIndex0)),
% 14.09/9.33 inference(unit_resolution,[status(thm)],[5399, 5004, 5336])).
% 14.09/9.33 tff(5401,plain,
% 14.09/9.33 (((~![B: $i] : ((~less_3(B)) | (v129(constB4, B) <=> v127(constB3, B)))) | ((~less_3(bitIndex0)) | (v129(constB4, bitIndex0) <=> v127(constB3, bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v129(constB4, B) <=> v127(constB3, B)))) | (~less_3(bitIndex0)) | (v129(constB4, bitIndex0) <=> v127(constB3, bitIndex0)))),
% 14.09/9.33 inference(rewrite,[status(thm)],[])).
% 14.09/9.33 tff(5402,plain,
% 14.09/9.33 ((~![B: $i] : ((~less_3(B)) | (v129(constB4, B) <=> v127(constB3, B)))) | ((~less_3(bitIndex0)) | (v129(constB4, bitIndex0) <=> v127(constB3, bitIndex0)))),
% 14.09/9.33 inference(quant_inst,[status(thm)],[])).
% 14.09/9.33 tff(5403,plain,
% 14.09/9.33 ((~![B: $i] : ((~less_3(B)) | (v129(constB4, B) <=> v127(constB3, B)))) | (~less_3(bitIndex0)) | (v129(constB4, bitIndex0) <=> v127(constB3, bitIndex0))),
% 14.09/9.33 inference(modus_ponens,[status(thm)],[5402, 5401])).
% 14.09/9.33 tff(5404,plain,
% 14.09/9.33 (v129(constB4, bitIndex0) <=> v127(constB3, bitIndex0)),
% 14.09/9.33 inference(unit_resolution,[status(thm)],[5403, 5004, 5344])).
% 14.09/9.33 tff(5405,plain,
% 14.09/9.33 (((~![B: $i] : ((~less_3(B)) | (v127(constB3, B) <=> v130(constB3, B)))) | ((~less_3(bitIndex0)) | (v127(constB3, bitIndex0) <=> v130(constB3, bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v127(constB3, B) <=> v130(constB3, B)))) | (~less_3(bitIndex0)) | (v127(constB3, bitIndex0) <=> v130(constB3, bitIndex0)))),
% 14.09/9.33 inference(rewrite,[status(thm)],[])).
% 14.09/9.33 tff(5406,plain,
% 14.09/9.33 ((~![B: $i] : ((~less_3(B)) | (v127(constB3, B) <=> v130(constB3, B)))) | ((~less_3(bitIndex0)) | (v127(constB3, bitIndex0) <=> v130(constB3, bitIndex0)))),
% 14.09/9.33 inference(quant_inst,[status(thm)],[])).
% 14.09/9.33 tff(5407,plain,
% 14.09/9.33 ((~![B: $i] : ((~less_3(B)) | (v127(constB3, B) <=> v130(constB3, B)))) | (~less_3(bitIndex0)) | (v127(constB3, bitIndex0) <=> v130(constB3, bitIndex0))),
% 14.09/9.33 inference(modus_ponens,[status(thm)],[5406, 5405])).
% 14.09/9.33 tff(5408,plain,
% 14.09/9.33 (v127(constB3, bitIndex0) <=> v130(constB3, bitIndex0)),
% 14.09/9.33 inference(unit_resolution,[status(thm)],[5407, 5004, 5352])).
% 14.09/9.33 tff(5409,plain,
% 14.09/9.33 (((~![B: $i] : ((~less_3(B)) | (v130(constB3, B) <=> b110(B)))) | ((~less_3(bitIndex0)) | (v130(constB3, bitIndex0) <=> b110(bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v130(constB3, B) <=> b110(B)))) | (~less_3(bitIndex0)) | (v130(constB3, bitIndex0) <=> b110(bitIndex0)))),
% 14.09/9.33 inference(rewrite,[status(thm)],[])).
% 14.09/9.33 tff(5410,plain,
% 14.09/9.33 ((~![B: $i] : ((~less_3(B)) | (v130(constB3, B) <=> b110(B)))) | ((~less_3(bitIndex0)) | (v130(constB3, bitIndex0) <=> b110(bitIndex0)))),
% 14.09/9.33 inference(quant_inst,[status(thm)],[])).
% 14.09/9.33 tff(5411,plain,
% 14.09/9.33 ((~![B: $i] : ((~less_3(B)) | (v130(constB3, B) <=> b110(B)))) | (~less_3(bitIndex0)) | (v130(constB3, bitIndex0) <=> b110(bitIndex0))),
% 14.09/9.33 inference(modus_ponens,[status(thm)],[5410, 5409])).
% 14.09/9.33 tff(5412,plain,
% 14.09/9.33 (v130(constB3, bitIndex0) <=> b110(bitIndex0)),
% 14.09/9.33 inference(unit_resolution,[status(thm)],[5411, 5004, 5374])).
% 14.09/9.33 tff(5413,plain,
% 14.09/9.33 ((~b110(bitIndex0)) <=> (~b110(bitIndex0))),
% 14.09/9.33 inference(rewrite,[status(thm)],[])).
% 14.09/9.33 tff(5414,axiom,(~b110(bitIndex0)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bitBlastConstant_18')).
% 14.09/9.33 tff(5415,plain,
% 14.09/9.33 (~b110(bitIndex0)),
% 14.09/9.33 inference(modus_ponens,[status(thm)],[5414, 5413])).
% 14.09/9.33 tff(5416,plain,
% 14.09/9.33 ((~(v130(constB3, bitIndex0) <=> b110(bitIndex0))) | (~v130(constB3, bitIndex0)) | b110(bitIndex0)),
% 14.09/9.33 inference(tautology,[status(thm)],[])).
% 14.09/9.33 tff(5417,plain,
% 14.09/9.33 ((~(v130(constB3, bitIndex0) <=> b110(bitIndex0))) | (~v130(constB3, bitIndex0))),
% 14.09/9.33 inference(unit_resolution,[status(thm)],[5416, 5415])).
% 14.09/9.33 tff(5418,plain,
% 14.09/9.33 (~v130(constB3, bitIndex0)),
% 14.09/9.33 inference(unit_resolution,[status(thm)],[5417, 5412])).
% 14.09/9.33 tff(5419,plain,
% 14.09/9.33 ((~(v127(constB3, bitIndex0) <=> v130(constB3, bitIndex0))) | (~v127(constB3, bitIndex0)) | v130(constB3, bitIndex0)),
% 14.09/9.33 inference(tautology,[status(thm)],[])).
% 14.09/9.33 tff(5420,plain,
% 14.09/9.33 (~v127(constB3, bitIndex0)),
% 14.09/9.33 inference(unit_resolution,[status(thm)],[5419, 5418, 5408])).
% 14.09/9.33 tff(5421,plain,
% 14.09/9.33 ((~(v129(constB4, bitIndex0) <=> v127(constB3, bitIndex0))) | (~v129(constB4, bitIndex0)) | v127(constB3, bitIndex0)),
% 14.09/9.33 inference(tautology,[status(thm)],[])).
% 14.09/9.33 tff(5422,plain,
% 14.09/9.33 (~v129(constB4, bitIndex0)),
% 14.09/9.33 inference(unit_resolution,[status(thm)],[5421, 5420, 5404])).
% 14.09/9.33 tff(5423,plain,
% 14.09/9.33 ((~(v90(constB4, bitIndex0) <=> v129(constB4, bitIndex0))) | (~v90(constB4, bitIndex0)) | v129(constB4, bitIndex0)),
% 14.09/9.33 inference(tautology,[status(thm)],[])).
% 14.09/9.33 tff(5424,plain,
% 14.09/9.33 (~v90(constB4, bitIndex0)),
% 14.09/9.33 inference(unit_resolution,[status(thm)],[5423, 5422, 5400])).
% 14.09/9.33 tff(5425,plain,
% 14.09/9.33 ((~(v90(constB5, bitIndex0) <=> v90(constB4, bitIndex0))) | (~v90(constB5, bitIndex0)) | v90(constB4, bitIndex0)),
% 14.09/9.33 inference(tautology,[status(thm)],[])).
% 14.09/9.33 tff(5426,plain,
% 14.09/9.33 (~v90(constB5, bitIndex0)),
% 14.09/9.33 inference(unit_resolution,[status(thm)],[5425, 5424, 5396])).
% 14.09/9.33 tff(5427,plain,
% 14.09/9.33 (((~![B: $i] : ((~less_3(B)) | (v90(constB5, B) <=> v90(constB4, B)))) | ((~less_3(bitIndex1)) | (v90(constB5, bitIndex1) <=> v90(constB4, bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v90(constB5, B) <=> v90(constB4, B)))) | (~less_3(bitIndex1)) | (v90(constB5, bitIndex1) <=> v90(constB4, bitIndex1)))),
% 14.09/9.33 inference(rewrite,[status(thm)],[])).
% 14.09/9.33 tff(5428,plain,
% 14.09/9.33 ((~![B: $i] : ((~less_3(B)) | (v90(constB5, B) <=> v90(constB4, B)))) | ((~less_3(bitIndex1)) | (v90(constB5, bitIndex1) <=> v90(constB4, bitIndex1)))),
% 14.09/9.33 inference(quant_inst,[status(thm)],[])).
% 14.09/9.33 tff(5429,plain,
% 14.09/9.33 ((~![B: $i] : ((~less_3(B)) | (v90(constB5, B) <=> v90(constB4, B)))) | (~less_3(bitIndex1)) | (v90(constB5, bitIndex1) <=> v90(constB4, bitIndex1))),
% 14.09/9.33 inference(modus_ponens,[status(thm)],[5428, 5427])).
% 14.09/9.33 tff(5430,plain,
% 14.09/9.33 (v90(constB5, bitIndex1) <=> v90(constB4, bitIndex1)),
% 14.09/9.33 inference(unit_resolution,[status(thm)],[5429, 5017, 4805])).
% 14.09/9.33 tff(5431,plain,
% 14.09/9.33 (((~![B: $i] : ((~less_3(B)) | (v90(constB4, B) <=> v129(constB4, B)))) | ((~less_3(bitIndex1)) | (v90(constB4, bitIndex1) <=> v129(constB4, bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v90(constB4, B) <=> v129(constB4, B)))) | (~less_3(bitIndex1)) | (v90(constB4, bitIndex1) <=> v129(constB4, bitIndex1)))),
% 14.09/9.33 inference(rewrite,[status(thm)],[])).
% 14.09/9.33 tff(5432,plain,
% 14.09/9.33 ((~![B: $i] : ((~less_3(B)) | (v90(constB4, B) <=> v129(constB4, B)))) | ((~less_3(bitIndex1)) | (v90(constB4, bitIndex1) <=> v129(constB4, bitIndex1)))),
% 14.09/9.33 inference(quant_inst,[status(thm)],[])).
% 14.09/9.33 tff(5433,plain,
% 14.09/9.33 ((~![B: $i] : ((~less_3(B)) | (v90(constB4, B) <=> v129(constB4, B)))) | (~less_3(bitIndex1)) | (v90(constB4, bitIndex1) <=> v129(constB4, bitIndex1))),
% 14.09/9.33 inference(modus_ponens,[status(thm)],[5432, 5431])).
% 14.09/9.33 tff(5434,plain,
% 14.09/9.33 (v90(constB4, bitIndex1) <=> v129(constB4, bitIndex1)),
% 14.09/9.33 inference(unit_resolution,[status(thm)],[5433, 5017, 5336])).
% 14.09/9.33 tff(5435,plain,
% 14.09/9.33 (((~![B: $i] : ((~less_3(B)) | (v129(constB4, B) <=> v127(constB3, B)))) | ((~less_3(bitIndex1)) | (v129(constB4, bitIndex1) <=> v127(constB3, bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v129(constB4, B) <=> v127(constB3, B)))) | (~less_3(bitIndex1)) | (v129(constB4, bitIndex1) <=> v127(constB3, bitIndex1)))),
% 14.09/9.33 inference(rewrite,[status(thm)],[])).
% 14.09/9.33 tff(5436,plain,
% 14.09/9.33 ((~![B: $i] : ((~less_3(B)) | (v129(constB4, B) <=> v127(constB3, B)))) | ((~less_3(bitIndex1)) | (v129(constB4, bitIndex1) <=> v127(constB3, bitIndex1)))),
% 14.09/9.33 inference(quant_inst,[status(thm)],[])).
% 14.09/9.33 tff(5437,plain,
% 14.09/9.33 ((~![B: $i] : ((~less_3(B)) | (v129(constB4, B) <=> v127(constB3, B)))) | (~less_3(bitIndex1)) | (v129(constB4, bitIndex1) <=> v127(constB3, bitIndex1))),
% 14.09/9.33 inference(modus_ponens,[status(thm)],[5436, 5435])).
% 14.09/9.33 tff(5438,plain,
% 14.09/9.33 (v129(constB4, bitIndex1) <=> v127(constB3, bitIndex1)),
% 14.09/9.33 inference(unit_resolution,[status(thm)],[5437, 5017, 5344])).
% 14.09/9.33 tff(5439,plain,
% 14.09/9.33 (((~![B: $i] : ((~less_3(B)) | (v127(constB3, B) <=> v130(constB3, B)))) | ((~less_3(bitIndex1)) | (v127(constB3, bitIndex1) <=> v130(constB3, bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v127(constB3, B) <=> v130(constB3, B)))) | (~less_3(bitIndex1)) | (v127(constB3, bitIndex1) <=> v130(constB3, bitIndex1)))),
% 14.09/9.33 inference(rewrite,[status(thm)],[])).
% 14.09/9.33 tff(5440,plain,
% 14.09/9.33 ((~![B: $i] : ((~less_3(B)) | (v127(constB3, B) <=> v130(constB3, B)))) | ((~less_3(bitIndex1)) | (v127(constB3, bitIndex1) <=> v130(constB3, bitIndex1)))),
% 14.09/9.33 inference(quant_inst,[status(thm)],[])).
% 14.09/9.33 tff(5441,plain,
% 14.09/9.33 ((~![B: $i] : ((~less_3(B)) | (v127(constB3, B) <=> v130(constB3, B)))) | (~less_3(bitIndex1)) | (v127(constB3, bitIndex1) <=> v130(constB3, bitIndex1))),
% 14.09/9.33 inference(modus_ponens,[status(thm)],[5440, 5439])).
% 14.09/9.33 tff(5442,plain,
% 14.09/9.33 (v127(constB3, bitIndex1) <=> v130(constB3, bitIndex1)),
% 14.09/9.33 inference(unit_resolution,[status(thm)],[5441, 5017, 5352])).
% 14.09/9.33 tff(5443,plain,
% 14.09/9.33 (((~![B: $i] : ((~less_3(B)) | (v130(constB3, B) <=> b110(B)))) | ((~less_3(bitIndex1)) | (v130(constB3, bitIndex1) <=> b110(bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v130(constB3, B) <=> b110(B)))) | (~less_3(bitIndex1)) | (v130(constB3, bitIndex1) <=> b110(bitIndex1)))),
% 14.09/9.33 inference(rewrite,[status(thm)],[])).
% 14.09/9.33 tff(5444,plain,
% 14.09/9.33 ((~![B: $i] : ((~less_3(B)) | (v130(constB3, B) <=> b110(B)))) | ((~less_3(bitIndex1)) | (v130(constB3, bitIndex1) <=> b110(bitIndex1)))),
% 14.09/9.33 inference(quant_inst,[status(thm)],[])).
% 14.09/9.33 tff(5445,plain,
% 14.09/9.33 ((~![B: $i] : ((~less_3(B)) | (v130(constB3, B) <=> b110(B)))) | (~less_3(bitIndex1)) | (v130(constB3, bitIndex1) <=> b110(bitIndex1))),
% 14.09/9.33 inference(modus_ponens,[status(thm)],[5444, 5443])).
% 14.09/9.33 tff(5446,plain,
% 14.09/9.33 (v130(constB3, bitIndex1) <=> b110(bitIndex1)),
% 14.09/9.33 inference(unit_resolution,[status(thm)],[5445, 5017, 5374])).
% 14.09/9.33 tff(5447,plain,
% 14.09/9.33 (b110(bitIndex1) <=> b110(bitIndex1)),
% 14.09/9.33 inference(rewrite,[status(thm)],[])).
% 14.09/9.33 tff(5448,axiom,(b110(bitIndex1)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bitBlastConstant_19')).
% 14.09/9.33 tff(5449,plain,
% 14.09/9.33 (b110(bitIndex1)),
% 14.09/9.33 inference(modus_ponens,[status(thm)],[5448, 5447])).
% 14.09/9.33 tff(5450,plain,
% 14.09/9.33 ((~(v130(constB3, bitIndex1) <=> b110(bitIndex1))) | v130(constB3, bitIndex1) | (~b110(bitIndex1))),
% 14.09/9.33 inference(tautology,[status(thm)],[])).
% 14.09/9.33 tff(5451,plain,
% 14.09/9.33 ((~(v130(constB3, bitIndex1) <=> b110(bitIndex1))) | v130(constB3, bitIndex1)),
% 14.09/9.33 inference(unit_resolution,[status(thm)],[5450, 5449])).
% 14.09/9.33 tff(5452,plain,
% 14.09/9.33 (v130(constB3, bitIndex1)),
% 14.09/9.33 inference(unit_resolution,[status(thm)],[5451, 5446])).
% 14.09/9.33 tff(5453,plain,
% 14.09/9.33 ((~(v127(constB3, bitIndex1) <=> v130(constB3, bitIndex1))) | v127(constB3, bitIndex1) | (~v130(constB3, bitIndex1))),
% 14.09/9.33 inference(tautology,[status(thm)],[])).
% 14.09/9.33 tff(5454,plain,
% 14.09/9.33 (v127(constB3, bitIndex1)),
% 14.09/9.33 inference(unit_resolution,[status(thm)],[5453, 5452, 5442])).
% 14.09/9.33 tff(5455,plain,
% 14.09/9.33 ((~(v129(constB4, bitIndex1) <=> v127(constB3, bitIndex1))) | v129(constB4, bitIndex1) | (~v127(constB3, bitIndex1))),
% 14.09/9.33 inference(tautology,[status(thm)],[])).
% 14.09/9.33 tff(5456,plain,
% 14.09/9.33 (v129(constB4, bitIndex1)),
% 14.09/9.33 inference(unit_resolution,[status(thm)],[5455, 5454, 5438])).
% 14.09/9.33 tff(5457,plain,
% 14.09/9.33 ((~(v90(constB4, bitIndex1) <=> v129(constB4, bitIndex1))) | v90(constB4, bitIndex1) | (~v129(constB4, bitIndex1))),
% 14.09/9.33 inference(tautology,[status(thm)],[])).
% 14.09/9.33 tff(5458,plain,
% 14.09/9.33 (v90(constB4, bitIndex1)),
% 14.09/9.33 inference(unit_resolution,[status(thm)],[5457, 5456, 5434])).
% 14.09/9.33 tff(5459,plain,
% 14.09/9.33 ((~(v90(constB5, bitIndex1) <=> v90(constB4, bitIndex1))) | v90(constB5, bitIndex1) | (~v90(constB4, bitIndex1))),
% 14.09/9.33 inference(tautology,[status(thm)],[])).
% 14.09/9.33 tff(5460,plain,
% 14.09/9.33 (v90(constB5, bitIndex1)),
% 14.09/9.33 inference(unit_resolution,[status(thm)],[5459, 5458, 5430])).
% 14.09/9.33 tff(5461,plain,
% 14.09/9.33 ((~((~v90(constB5, bitIndex2)) | (~v90(constB5, bitIndex1)) | v90(constB5, bitIndex0))) | (~v90(constB5, bitIndex2)) | (~v90(constB5, bitIndex1)) | v90(constB5, bitIndex0)),
% 14.09/9.33 inference(tautology,[status(thm)],[])).
% 14.09/9.33 tff(5462,plain,
% 14.09/9.33 (~((~v90(constB5, bitIndex2)) | (~v90(constB5, bitIndex1)) | v90(constB5, bitIndex0))),
% 14.09/9.33 inference(unit_resolution,[status(thm)],[5461, 5460, 5426, 5392])).
% 14.09/9.33 tff(5463,plain,
% 14.09/9.33 ((~(v125(constB5) <=> (~((~v90(constB5, bitIndex2)) | (~v90(constB5, bitIndex1)) | v90(constB5, bitIndex0))))) | v125(constB5) | ((~v90(constB5, bitIndex2)) | (~v90(constB5, bitIndex1)) | v90(constB5, bitIndex0))),
% 14.09/9.33 inference(tautology,[status(thm)],[])).
% 14.09/9.33 tff(5464,plain,
% 14.09/9.33 (v125(constB5)),
% 14.09/9.33 inference(unit_resolution,[status(thm)],[5463, 5462, 4777])).
% 14.09/9.33 tff(5465,plain,
% 14.09/9.33 ((v114(constB5) | v125(constB5)) | (~v125(constB5))),
% 14.09/9.33 inference(tautology,[status(thm)],[])).
% 14.09/9.33 tff(5466,plain,
% 14.09/9.33 (v114(constB5) | v125(constB5)),
% 14.09/9.33 inference(unit_resolution,[status(thm)],[5465, 5464])).
% 14.09/9.33 tff(5467,plain,
% 14.09/9.33 ((~(v113(constB5) <=> (v114(constB5) | v125(constB5)))) | v113(constB5) | (~(v114(constB5) | v125(constB5)))),
% 14.09/9.33 inference(tautology,[status(thm)],[])).
% 14.09/9.33 tff(5468,plain,
% 14.09/9.33 (v113(constB5)),
% 14.09/9.33 inference(unit_resolution,[status(thm)],[5467, 5466, 4770])).
% 14.09/9.33 tff(5469,plain,
% 14.09/9.33 ((~![VarCurr: $i] : ((~v126(VarCurr)) <=> v111(VarCurr))) | ((~v126(constB5)) <=> v111(constB5))),
% 14.09/9.33 inference(quant_inst,[status(thm)],[])).
% 14.09/9.33 tff(5470,plain,
% 14.09/9.33 ((~v126(constB5)) <=> v111(constB5)),
% 14.09/9.33 inference(unit_resolution,[status(thm)],[5469, 5074])).
% 14.09/9.33 tff(5471,plain,
% 14.09/9.33 ((~![VarCurr: $i] : (v111(VarCurr) <=> v26(VarCurr))) | (v111(constB5) <=> v26(constB5))),
% 14.09/9.33 inference(quant_inst,[status(thm)],[])).
% 14.09/9.33 tff(5472,plain,
% 14.09/9.33 (v111(constB5) <=> v26(constB5)),
% 14.09/9.33 inference(unit_resolution,[status(thm)],[5471, 5086])).
% 14.09/9.33 tff(5473,plain,
% 14.09/9.33 ((~![VarCurr: $i] : (~v26(VarCurr))) | (~v26(constB5))),
% 14.09/9.33 inference(quant_inst,[status(thm)],[])).
% 14.09/9.33 tff(5474,plain,
% 14.09/9.33 (~v26(constB5)),
% 14.09/9.33 inference(unit_resolution,[status(thm)],[5473, 5098])).
% 14.09/9.33 tff(5475,plain,
% 14.09/9.33 ((~(v111(constB5) <=> v26(constB5))) | (~v111(constB5)) | v26(constB5)),
% 14.09/9.33 inference(tautology,[status(thm)],[])).
% 14.09/9.33 tff(5476,plain,
% 14.09/9.33 ((~(v111(constB5) <=> v26(constB5))) | (~v111(constB5))),
% 14.09/9.33 inference(unit_resolution,[status(thm)],[5475, 5474])).
% 14.09/9.33 tff(5477,plain,
% 14.09/9.33 (~v111(constB5)),
% 14.09/9.33 inference(unit_resolution,[status(thm)],[5476, 5472])).
% 14.09/9.33 tff(5478,plain,
% 14.09/9.33 ((~((~v126(constB5)) <=> v111(constB5))) | v126(constB5) | v111(constB5)),
% 14.09/9.33 inference(tautology,[status(thm)],[])).
% 14.09/9.33 tff(5479,plain,
% 14.09/9.33 ((~((~v126(constB5)) <=> v111(constB5))) | v126(constB5)),
% 14.09/9.33 inference(unit_resolution,[status(thm)],[5478, 5477])).
% 14.09/9.33 tff(5480,plain,
% 14.09/9.33 (v126(constB5)),
% 14.09/9.33 inference(unit_resolution,[status(thm)],[5479, 5470])).
% 14.09/9.33 tff(5481,plain,
% 14.09/9.33 ((~((~v113(constB5)) | (~v126(constB5)))) | (~v113(constB5)) | (~v126(constB5))),
% 14.09/9.33 inference(tautology,[status(thm)],[])).
% 14.09/9.33 tff(5482,plain,
% 14.09/9.33 ((~((~v113(constB5)) | (~v126(constB5)))) | (~v113(constB5))),
% 14.09/9.33 inference(unit_resolution,[status(thm)],[5481, 5480])).
% 14.09/9.33 tff(5483,plain,
% 14.09/9.33 (~((~v113(constB5)) | (~v126(constB5)))),
% 14.09/9.33 inference(unit_resolution,[status(thm)],[5482, 5468])).
% 14.09/9.33 tff(5484,plain,
% 14.09/9.33 ((~(v112(constB5) <=> (~((~v113(constB5)) | (~v126(constB5)))))) | v112(constB5) | ((~v113(constB5)) | (~v126(constB5)))),
% 14.09/9.33 inference(tautology,[status(thm)],[])).
% 14.09/9.33 tff(5485,plain,
% 14.09/9.33 (v112(constB5)),
% 14.09/9.33 inference(unit_resolution,[status(thm)],[5484, 5483, 4768])).
% 14.09/9.33 tff(5486,plain,
% 14.09/9.33 ((v111(constB5) | v112(constB5)) | (~v112(constB5))),
% 14.09/9.33 inference(tautology,[status(thm)],[])).
% 14.09/9.33 tff(5487,plain,
% 14.09/9.33 (v111(constB5) | v112(constB5)),
% 14.09/9.33 inference(unit_resolution,[status(thm)],[5486, 5485])).
% 14.09/9.33 tff(5488,plain,
% 14.09/9.33 ((~(v108(constB5) <=> (v111(constB5) | v112(constB5)))) | v108(constB5) | (~(v111(constB5) | v112(constB5)))),
% 14.09/9.33 inference(tautology,[status(thm)],[])).
% 14.09/9.33 tff(5489,plain,
% 14.09/9.33 (v108(constB5)),
% 14.09/9.33 inference(unit_resolution,[status(thm)],[5488, 5487, 4766])).
% 14.09/9.33 tff(5490,plain,
% 14.09/9.33 ((~(v110(constB6) <=> v108(constB5))) | v110(constB6) | (~v108(constB5))),
% 14.09/9.34 inference(tautology,[status(thm)],[])).
% 14.09/9.34 tff(5491,plain,
% 14.09/9.34 (v110(constB6)),
% 14.09/9.34 inference(unit_resolution,[status(thm)],[5490, 5489, 4764])).
% 14.09/9.34 tff(5492,plain,
% 14.09/9.34 ((~((~v101(constB6)) | (~v110(constB6)))) | (~v101(constB6)) | (~v110(constB6))),
% 14.09/9.34 inference(tautology,[status(thm)],[])).
% 14.09/9.34 tff(5493,plain,
% 14.09/9.34 (~((~v101(constB6)) | (~v110(constB6)))),
% 14.09/9.34 inference(unit_resolution,[status(thm)],[5492, 5491, 4760])).
% 14.09/9.34 tff(5494,plain,
% 14.09/9.34 ((~(v100(constB6) <=> (~((~v101(constB6)) | (~v110(constB6)))))) | v100(constB6) | ((~v101(constB6)) | (~v110(constB6)))),
% 14.09/9.34 inference(tautology,[status(thm)],[])).
% 14.09/9.34 tff(5495,plain,
% 14.09/9.34 (v100(constB6)),
% 14.09/9.34 inference(unit_resolution,[status(thm)],[5494, 5493, 4729])).
% 14.09/9.34 tff(5496,plain,
% 14.09/9.34 (((~![VarNext: $i] : ((~v100(VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v129(VarNext, B))))) | ((~v100(constB6)) | ![B: $i] : ((~less_3(B)) | (v90(constB6, B) <=> v129(constB6, B))))) <=> ((~![VarNext: $i] : ((~v100(VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v129(VarNext, B))))) | (~v100(constB6)) | ![B: $i] : ((~less_3(B)) | (v90(constB6, B) <=> v129(constB6, B))))),
% 14.09/9.34 inference(rewrite,[status(thm)],[])).
% 14.09/9.34 tff(5497,plain,
% 14.09/9.34 ((~![VarNext: $i] : ((~v100(VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v129(VarNext, B))))) | ((~v100(constB6)) | ![B: $i] : ((~less_3(B)) | (v90(constB6, B) <=> v129(constB6, B))))),
% 14.09/9.34 inference(quant_inst,[status(thm)],[])).
% 14.09/9.34 tff(5498,plain,
% 14.09/9.34 ((~![VarNext: $i] : ((~v100(VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v129(VarNext, B))))) | (~v100(constB6)) | ![B: $i] : ((~less_3(B)) | (v90(constB6, B) <=> v129(constB6, B)))),
% 14.09/9.34 inference(modus_ponens,[status(thm)],[5497, 5496])).
% 14.09/9.34 tff(5499,plain,
% 14.09/9.34 ((~v100(constB6)) | ![B: $i] : ((~less_3(B)) | (v90(constB6, B) <=> v129(constB6, B)))),
% 14.09/9.34 inference(unit_resolution,[status(thm)],[5498, 5134])).
% 14.09/9.34 tff(5500,plain,
% 14.09/9.34 (![B: $i] : ((~less_3(B)) | (v90(constB6, B) <=> v129(constB6, B)))),
% 14.09/9.34 inference(unit_resolution,[status(thm)],[5499, 5495])).
% 14.09/9.34 tff(5501,plain,
% 14.09/9.34 (((~![B: $i] : ((~less_3(B)) | (v90(constB6, B) <=> v129(constB6, B)))) | ((~less_3(bitIndex2)) | (v90(constB6, bitIndex2) <=> v129(constB6, bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v90(constB6, B) <=> v129(constB6, B)))) | (~less_3(bitIndex2)) | (v90(constB6, bitIndex2) <=> v129(constB6, bitIndex2)))),
% 14.09/9.34 inference(rewrite,[status(thm)],[])).
% 14.09/9.34 tff(5502,plain,
% 14.09/9.34 ((~![B: $i] : ((~less_3(B)) | (v90(constB6, B) <=> v129(constB6, B)))) | ((~less_3(bitIndex2)) | (v90(constB6, bitIndex2) <=> v129(constB6, bitIndex2)))),
% 14.09/9.34 inference(quant_inst,[status(thm)],[])).
% 14.09/9.34 tff(5503,plain,
% 14.09/9.34 ((~![B: $i] : ((~less_3(B)) | (v90(constB6, B) <=> v129(constB6, B)))) | (~less_3(bitIndex2)) | (v90(constB6, bitIndex2) <=> v129(constB6, bitIndex2))),
% 14.09/9.34 inference(modus_ponens,[status(thm)],[5502, 5501])).
% 14.09/9.34 tff(5504,plain,
% 14.09/9.34 (v90(constB6, bitIndex2) <=> v129(constB6, bitIndex2)),
% 14.09/9.34 inference(unit_resolution,[status(thm)],[5503, 413, 5500])).
% 14.09/9.34 tff(5505,plain,
% 14.09/9.34 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v129(VarNext, B) <=> v127(VarCurr, B))))) | ((~nextState(constB5, constB6)) | ![B: $i] : ((~less_3(B)) | (v129(constB6, B) <=> v127(constB5, B))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v129(VarNext, B) <=> v127(VarCurr, B))))) | (~nextState(constB5, constB6)) | ![B: $i] : ((~less_3(B)) | (v129(constB6, B) <=> v127(constB5, B))))),
% 14.09/9.34 inference(rewrite,[status(thm)],[])).
% 14.09/9.34 tff(5506,plain,
% 14.09/9.34 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v129(VarNext, B) <=> v127(VarCurr, B))))) | ((~nextState(constB5, constB6)) | ![B: $i] : ((~less_3(B)) | (v129(constB6, B) <=> v127(constB5, B))))),
% 14.09/9.34 inference(quant_inst,[status(thm)],[])).
% 14.09/9.34 tff(5507,plain,
% 14.09/9.34 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v129(VarNext, B) <=> v127(VarCurr, B))))) | (~nextState(constB5, constB6)) | ![B: $i] : ((~less_3(B)) | (v129(constB6, B) <=> v127(constB5, B)))),
% 14.09/9.34 inference(modus_ponens,[status(thm)],[5506, 5505])).
% 14.09/9.34 tff(5508,plain,
% 14.09/9.34 (![B: $i] : ((~less_3(B)) | (v129(constB6, B) <=> v127(constB5, B)))),
% 14.09/9.34 inference(unit_resolution,[status(thm)],[5507, 4725, 5156])).
% 14.09/9.34 tff(5509,plain,
% 14.09/9.34 (((~![B: $i] : ((~less_3(B)) | (v129(constB6, B) <=> v127(constB5, B)))) | ((~less_3(bitIndex2)) | (v129(constB6, bitIndex2) <=> v127(constB5, bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v129(constB6, B) <=> v127(constB5, B)))) | (~less_3(bitIndex2)) | (v129(constB6, bitIndex2) <=> v127(constB5, bitIndex2)))),
% 14.09/9.34 inference(rewrite,[status(thm)],[])).
% 14.09/9.34 tff(5510,plain,
% 14.09/9.34 ((~![B: $i] : ((~less_3(B)) | (v129(constB6, B) <=> v127(constB5, B)))) | ((~less_3(bitIndex2)) | (v129(constB6, bitIndex2) <=> v127(constB5, bitIndex2)))),
% 14.09/9.34 inference(quant_inst,[status(thm)],[])).
% 14.09/9.34 tff(5511,plain,
% 14.09/9.34 ((~![B: $i] : ((~less_3(B)) | (v129(constB6, B) <=> v127(constB5, B)))) | (~less_3(bitIndex2)) | (v129(constB6, bitIndex2) <=> v127(constB5, bitIndex2))),
% 14.09/9.34 inference(modus_ponens,[status(thm)],[5510, 5509])).
% 14.09/9.34 tff(5512,plain,
% 14.09/9.34 (v129(constB6, bitIndex2) <=> v127(constB5, bitIndex2)),
% 14.09/9.34 inference(unit_resolution,[status(thm)],[5511, 413, 5508])).
% 14.09/9.34 tff(5513,plain,
% 14.09/9.34 (((~![VarCurr: $i] : (v111(VarCurr) | ![B: $i] : ((~less_3(B)) | (v127(VarCurr, B) <=> v130(VarCurr, B))))) | (v111(constB5) | ![B: $i] : ((~less_3(B)) | (v127(constB5, B) <=> v130(constB5, B))))) <=> ((~![VarCurr: $i] : (v111(VarCurr) | ![B: $i] : ((~less_3(B)) | (v127(VarCurr, B) <=> v130(VarCurr, B))))) | v111(constB5) | ![B: $i] : ((~less_3(B)) | (v127(constB5, B) <=> v130(constB5, B))))),
% 14.09/9.34 inference(rewrite,[status(thm)],[])).
% 14.09/9.34 tff(5514,plain,
% 14.09/9.34 ((~![VarCurr: $i] : (v111(VarCurr) | ![B: $i] : ((~less_3(B)) | (v127(VarCurr, B) <=> v130(VarCurr, B))))) | (v111(constB5) | ![B: $i] : ((~less_3(B)) | (v127(constB5, B) <=> v130(constB5, B))))),
% 14.09/9.34 inference(quant_inst,[status(thm)],[])).
% 14.09/9.34 tff(5515,plain,
% 14.09/9.34 ((~![VarCurr: $i] : (v111(VarCurr) | ![B: $i] : ((~less_3(B)) | (v127(VarCurr, B) <=> v130(VarCurr, B))))) | v111(constB5) | ![B: $i] : ((~less_3(B)) | (v127(constB5, B) <=> v130(constB5, B)))),
% 14.09/9.34 inference(modus_ponens,[status(thm)],[5514, 5513])).
% 14.09/9.34 tff(5516,plain,
% 14.09/9.34 (![B: $i] : ((~less_3(B)) | (v127(constB5, B) <=> v130(constB5, B)))),
% 14.09/9.34 inference(unit_resolution,[status(thm)],[5515, 5177, 5477])).
% 14.09/9.34 tff(5517,plain,
% 14.09/9.34 (((~![B: $i] : ((~less_3(B)) | (v127(constB5, B) <=> v130(constB5, B)))) | ((~less_3(bitIndex2)) | (v127(constB5, bitIndex2) <=> v130(constB5, bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v127(constB5, B) <=> v130(constB5, B)))) | (~less_3(bitIndex2)) | (v127(constB5, bitIndex2) <=> v130(constB5, bitIndex2)))),
% 14.09/9.34 inference(rewrite,[status(thm)],[])).
% 14.09/9.34 tff(5518,plain,
% 14.09/9.34 ((~![B: $i] : ((~less_3(B)) | (v127(constB5, B) <=> v130(constB5, B)))) | ((~less_3(bitIndex2)) | (v127(constB5, bitIndex2) <=> v130(constB5, bitIndex2)))),
% 14.09/9.34 inference(quant_inst,[status(thm)],[])).
% 14.09/9.34 tff(5519,plain,
% 14.09/9.34 ((~![B: $i] : ((~less_3(B)) | (v127(constB5, B) <=> v130(constB5, B)))) | (~less_3(bitIndex2)) | (v127(constB5, bitIndex2) <=> v130(constB5, bitIndex2))),
% 14.09/9.34 inference(modus_ponens,[status(thm)],[5518, 5517])).
% 14.09/9.34 tff(5520,plain,
% 14.09/9.34 (v127(constB5, bitIndex2) <=> v130(constB5, bitIndex2)),
% 14.09/9.34 inference(unit_resolution,[status(thm)],[5519, 413, 5516])).
% 14.09/9.34 tff(5521,plain,
% 14.09/9.34 ((~![VarCurr: $i] : (v119(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))))) | (v119(constB5) <=> (~(v90(constB5, bitIndex0) | v90(constB5, bitIndex1) | v90(constB5, bitIndex2))))),
% 14.09/9.34 inference(quant_inst,[status(thm)],[])).
% 14.09/9.34 tff(5522,plain,
% 14.09/9.34 (v119(constB5) <=> (~(v90(constB5, bitIndex0) | v90(constB5, bitIndex1) | v90(constB5, bitIndex2)))),
% 14.09/9.34 inference(unit_resolution,[status(thm)],[5521, 4971])).
% 14.09/9.34 tff(5523,plain,
% 14.09/9.34 ((v90(constB5, bitIndex0) | v90(constB5, bitIndex1) | v90(constB5, bitIndex2)) | (~v90(constB5, bitIndex2))),
% 14.09/9.34 inference(tautology,[status(thm)],[])).
% 14.09/9.34 tff(5524,plain,
% 14.09/9.34 (v90(constB5, bitIndex0) | v90(constB5, bitIndex1) | v90(constB5, bitIndex2)),
% 14.09/9.34 inference(unit_resolution,[status(thm)],[5523, 5392])).
% 14.09/9.34 tff(5525,plain,
% 14.09/9.34 ((~(v119(constB5) <=> (~(v90(constB5, bitIndex0) | v90(constB5, bitIndex1) | v90(constB5, bitIndex2))))) | (~v119(constB5)) | (~(v90(constB5, bitIndex0) | v90(constB5, bitIndex1) | v90(constB5, bitIndex2)))),
% 14.09/9.34 inference(tautology,[status(thm)],[])).
% 14.09/9.34 tff(5526,plain,
% 14.09/9.34 (~v119(constB5)),
% 14.09/9.34 inference(unit_resolution,[status(thm)],[5525, 5524, 5522])).
% 14.09/9.34 tff(5527,plain,
% 14.09/9.34 (^[VarCurr: $i] : refl((v124(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex2))))) <=> (v124(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex2))))))),
% 14.09/9.34 inference(bind,[status(th)],[])).
% 14.09/9.34 tff(5528,plain,
% 14.09/9.34 (![VarCurr: $i] : (v124(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex2))))) <=> ![VarCurr: $i] : (v124(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex2)))))),
% 14.09/9.34 inference(quant_intro,[status(thm)],[5527])).
% 14.09/9.34 tff(5529,plain,
% 14.09/9.34 (^[VarCurr: $i] : rewrite((v124(VarCurr) <=> (v90(VarCurr, bitIndex2) & (~v90(VarCurr, bitIndex1)) & v90(VarCurr, bitIndex0))) <=> (v124(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex2))))))),
% 14.09/9.34 inference(bind,[status(th)],[])).
% 14.09/9.34 tff(5530,plain,
% 14.09/9.34 (![VarCurr: $i] : (v124(VarCurr) <=> (v90(VarCurr, bitIndex2) & (~v90(VarCurr, bitIndex1)) & v90(VarCurr, bitIndex0))) <=> ![VarCurr: $i] : (v124(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex2)))))),
% 14.09/9.34 inference(quant_intro,[status(thm)],[5529])).
% 14.09/9.34 tff(5531,plain,
% 14.09/9.34 (![VarCurr: $i] : (v124(VarCurr) <=> (v90(VarCurr, bitIndex2) & (~v90(VarCurr, bitIndex1)) & v90(VarCurr, bitIndex0))) <=> ![VarCurr: $i] : (v124(VarCurr) <=> (v90(VarCurr, bitIndex2) & (~v90(VarCurr, bitIndex1)) & v90(VarCurr, bitIndex0)))),
% 14.09/9.34 inference(rewrite,[status(thm)],[])).
% 14.09/9.34 tff(5532,plain,
% 14.09/9.34 (^[VarCurr: $i] : rewrite((v124(VarCurr) <=> (((v90(VarCurr, bitIndex2) <=> $true) & (v90(VarCurr, bitIndex1) <=> $false)) & (v90(VarCurr, bitIndex0) <=> $true))) <=> (v124(VarCurr) <=> (v90(VarCurr, bitIndex2) & (~v90(VarCurr, bitIndex1)) & v90(VarCurr, bitIndex0))))),
% 14.09/9.34 inference(bind,[status(th)],[])).
% 14.09/9.34 tff(5533,plain,
% 14.09/9.34 (![VarCurr: $i] : (v124(VarCurr) <=> (((v90(VarCurr, bitIndex2) <=> $true) & (v90(VarCurr, bitIndex1) <=> $false)) & (v90(VarCurr, bitIndex0) <=> $true))) <=> ![VarCurr: $i] : (v124(VarCurr) <=> (v90(VarCurr, bitIndex2) & (~v90(VarCurr, bitIndex1)) & v90(VarCurr, bitIndex0)))),
% 14.09/9.34 inference(quant_intro,[status(thm)],[5532])).
% 14.09/9.34 tff(5534,axiom,(![VarCurr: $i] : (v124(VarCurr) <=> (((v90(VarCurr, bitIndex2) <=> $true) & (v90(VarCurr, bitIndex1) <=> $false)) & (v90(VarCurr, bitIndex0) <=> $true)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','addBitVectorEqualityBitBlasted_7')).
% 14.09/9.34 tff(5535,plain,
% 14.09/9.34 (![VarCurr: $i] : (v124(VarCurr) <=> (v90(VarCurr, bitIndex2) & (~v90(VarCurr, bitIndex1)) & v90(VarCurr, bitIndex0)))),
% 14.09/9.34 inference(modus_ponens,[status(thm)],[5534, 5533])).
% 14.09/9.34 tff(5536,plain,
% 14.09/9.34 (![VarCurr: $i] : (v124(VarCurr) <=> (v90(VarCurr, bitIndex2) & (~v90(VarCurr, bitIndex1)) & v90(VarCurr, bitIndex0)))),
% 14.09/9.34 inference(modus_ponens,[status(thm)],[5535, 5531])).
% 14.09/9.34 tff(5537,plain,(
% 14.09/9.34 ![VarCurr: $i] : (v124(VarCurr) <=> (v90(VarCurr, bitIndex2) & (~v90(VarCurr, bitIndex1)) & v90(VarCurr, bitIndex0)))),
% 14.09/9.34 inference(skolemize,[status(sab)],[5536])).
% 14.09/9.34 tff(5538,plain,
% 14.09/9.34 (![VarCurr: $i] : (v124(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex2)))))),
% 14.09/9.34 inference(modus_ponens,[status(thm)],[5537, 5530])).
% 14.09/9.34 tff(5539,plain,
% 14.09/9.34 (![VarCurr: $i] : (v124(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex2)))))),
% 14.09/9.34 inference(modus_ponens,[status(thm)],[5538, 5528])).
% 14.09/9.34 tff(5540,plain,
% 14.09/9.34 (((~![VarCurr: $i] : (v124(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex2)))))) | (v124(constB5) <=> (~((~v90(constB5, bitIndex2)) | v90(constB5, bitIndex1) | (~v90(constB5, bitIndex0)))))) <=> ((~![VarCurr: $i] : (v124(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex2)))))) | (v124(constB5) <=> (~((~v90(constB5, bitIndex2)) | v90(constB5, bitIndex1) | (~v90(constB5, bitIndex0))))))),
% 14.09/9.34 inference(rewrite,[status(thm)],[])).
% 14.09/9.34 tff(5541,plain,
% 14.09/9.34 ((v124(constB5) <=> (~(v90(constB5, bitIndex1) | (~v90(constB5, bitIndex0)) | (~v90(constB5, bitIndex2))))) <=> (v124(constB5) <=> (~((~v90(constB5, bitIndex2)) | v90(constB5, bitIndex1) | (~v90(constB5, bitIndex0)))))),
% 14.09/9.34 inference(rewrite,[status(thm)],[])).
% 14.09/9.34 tff(5542,plain,
% 14.09/9.34 (((~![VarCurr: $i] : (v124(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex2)))))) | (v124(constB5) <=> (~(v90(constB5, bitIndex1) | (~v90(constB5, bitIndex0)) | (~v90(constB5, bitIndex2)))))) <=> ((~![VarCurr: $i] : (v124(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex2)))))) | (v124(constB5) <=> (~((~v90(constB5, bitIndex2)) | v90(constB5, bitIndex1) | (~v90(constB5, bitIndex0))))))),
% 14.09/9.34 inference(monotonicity,[status(thm)],[5541])).
% 14.09/9.34 tff(5543,plain,
% 14.09/9.34 (((~![VarCurr: $i] : (v124(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex2)))))) | (v124(constB5) <=> (~(v90(constB5, bitIndex1) | (~v90(constB5, bitIndex0)) | (~v90(constB5, bitIndex2)))))) <=> ((~![VarCurr: $i] : (v124(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex2)))))) | (v124(constB5) <=> (~((~v90(constB5, bitIndex2)) | v90(constB5, bitIndex1) | (~v90(constB5, bitIndex0))))))),
% 14.09/9.34 inference(transitivity,[status(thm)],[5542, 5540])).
% 14.09/9.34 tff(5544,plain,
% 14.09/9.34 ((~![VarCurr: $i] : (v124(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex2)))))) | (v124(constB5) <=> (~(v90(constB5, bitIndex1) | (~v90(constB5, bitIndex0)) | (~v90(constB5, bitIndex2)))))),
% 14.09/9.34 inference(quant_inst,[status(thm)],[])).
% 14.09/9.34 tff(5545,plain,
% 14.09/9.34 ((~![VarCurr: $i] : (v124(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex2)))))) | (v124(constB5) <=> (~((~v90(constB5, bitIndex2)) | v90(constB5, bitIndex1) | (~v90(constB5, bitIndex0)))))),
% 14.09/9.34 inference(modus_ponens,[status(thm)],[5544, 5543])).
% 14.09/9.34 tff(5546,plain,
% 14.09/9.34 (v124(constB5) <=> (~((~v90(constB5, bitIndex2)) | v90(constB5, bitIndex1) | (~v90(constB5, bitIndex0))))),
% 14.09/9.34 inference(unit_resolution,[status(thm)],[5545, 5539])).
% 14.09/9.34 tff(5547,plain,
% 14.09/9.34 (((~v90(constB5, bitIndex2)) | v90(constB5, bitIndex1) | (~v90(constB5, bitIndex0))) | (~v90(constB5, bitIndex1))),
% 14.09/9.34 inference(tautology,[status(thm)],[])).
% 14.09/9.34 tff(5548,plain,
% 14.09/9.34 ((~v90(constB5, bitIndex2)) | v90(constB5, bitIndex1) | (~v90(constB5, bitIndex0))),
% 14.09/9.34 inference(unit_resolution,[status(thm)],[5547, 5460])).
% 14.09/9.34 tff(5549,plain,
% 14.09/9.34 ((~(v124(constB5) <=> (~((~v90(constB5, bitIndex2)) | v90(constB5, bitIndex1) | (~v90(constB5, bitIndex0)))))) | (~v124(constB5)) | (~((~v90(constB5, bitIndex2)) | v90(constB5, bitIndex1) | (~v90(constB5, bitIndex0))))),
% 14.09/9.34 inference(tautology,[status(thm)],[])).
% 14.09/9.34 tff(5550,plain,
% 14.09/9.34 (~v124(constB5)),
% 14.09/9.34 inference(unit_resolution,[status(thm)],[5549, 5548, 5546])).
% 14.09/9.34 tff(5551,plain,
% 14.09/9.34 (((~![VarCurr: $i] : (v123(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)))))) | (v123(constB5) <=> (~((~v90(constB5, bitIndex2)) | v90(constB5, bitIndex1) | v90(constB5, bitIndex0))))) <=> ((~![VarCurr: $i] : (v123(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)))))) | (v123(constB5) <=> (~((~v90(constB5, bitIndex2)) | v90(constB5, bitIndex1) | v90(constB5, bitIndex0)))))),
% 14.09/9.34 inference(rewrite,[status(thm)],[])).
% 14.09/9.34 tff(5552,plain,
% 14.09/9.34 ((v123(constB5) <=> (~(v90(constB5, bitIndex0) | v90(constB5, bitIndex1) | (~v90(constB5, bitIndex2))))) <=> (v123(constB5) <=> (~((~v90(constB5, bitIndex2)) | v90(constB5, bitIndex1) | v90(constB5, bitIndex0))))),
% 14.09/9.34 inference(rewrite,[status(thm)],[])).
% 14.09/9.34 tff(5553,plain,
% 14.09/9.34 (((~![VarCurr: $i] : (v123(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)))))) | (v123(constB5) <=> (~(v90(constB5, bitIndex0) | v90(constB5, bitIndex1) | (~v90(constB5, bitIndex2)))))) <=> ((~![VarCurr: $i] : (v123(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)))))) | (v123(constB5) <=> (~((~v90(constB5, bitIndex2)) | v90(constB5, bitIndex1) | v90(constB5, bitIndex0)))))),
% 14.09/9.34 inference(monotonicity,[status(thm)],[5552])).
% 14.09/9.34 tff(5554,plain,
% 14.09/9.34 (((~![VarCurr: $i] : (v123(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)))))) | (v123(constB5) <=> (~(v90(constB5, bitIndex0) | v90(constB5, bitIndex1) | (~v90(constB5, bitIndex2)))))) <=> ((~![VarCurr: $i] : (v123(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)))))) | (v123(constB5) <=> (~((~v90(constB5, bitIndex2)) | v90(constB5, bitIndex1) | v90(constB5, bitIndex0)))))),
% 14.09/9.34 inference(transitivity,[status(thm)],[5553, 5551])).
% 14.09/9.34 tff(5555,plain,
% 14.09/9.34 ((~![VarCurr: $i] : (v123(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)))))) | (v123(constB5) <=> (~(v90(constB5, bitIndex0) | v90(constB5, bitIndex1) | (~v90(constB5, bitIndex2)))))),
% 14.09/9.34 inference(quant_inst,[status(thm)],[])).
% 14.09/9.34 tff(5556,plain,
% 14.09/9.34 ((~![VarCurr: $i] : (v123(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)))))) | (v123(constB5) <=> (~((~v90(constB5, bitIndex2)) | v90(constB5, bitIndex1) | v90(constB5, bitIndex0))))),
% 14.09/9.34 inference(modus_ponens,[status(thm)],[5555, 5554])).
% 14.09/9.34 tff(5557,plain,
% 14.09/9.34 (v123(constB5) <=> (~((~v90(constB5, bitIndex2)) | v90(constB5, bitIndex1) | v90(constB5, bitIndex0)))),
% 14.09/9.34 inference(unit_resolution,[status(thm)],[5556, 621])).
% 14.09/9.34 tff(5558,plain,
% 14.09/9.34 (((~v90(constB5, bitIndex2)) | v90(constB5, bitIndex1) | v90(constB5, bitIndex0)) | (~v90(constB5, bitIndex1))),
% 14.09/9.34 inference(tautology,[status(thm)],[])).
% 14.09/9.34 tff(5559,plain,
% 14.09/9.34 ((~v90(constB5, bitIndex2)) | v90(constB5, bitIndex1) | v90(constB5, bitIndex0)),
% 14.09/9.34 inference(unit_resolution,[status(thm)],[5558, 5460])).
% 14.09/9.34 tff(5560,plain,
% 14.09/9.34 ((~(v123(constB5) <=> (~((~v90(constB5, bitIndex2)) | v90(constB5, bitIndex1) | v90(constB5, bitIndex0))))) | (~v123(constB5)) | (~((~v90(constB5, bitIndex2)) | v90(constB5, bitIndex1) | v90(constB5, bitIndex0)))),
% 14.09/9.34 inference(tautology,[status(thm)],[])).
% 14.09/9.34 tff(5561,plain,
% 14.09/9.34 (~v123(constB5)),
% 14.09/9.34 inference(unit_resolution,[status(thm)],[5560, 5559, 5557])).
% 14.09/9.34 tff(5562,plain,
% 14.09/9.34 (((~![VarCurr: $i] : (v122(VarCurr) <=> (~(v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)))))) | (v122(constB5) <=> (~(v90(constB5, bitIndex2) | (~v90(constB5, bitIndex1)) | (~v90(constB5, bitIndex0)))))) <=> ((~![VarCurr: $i] : (v122(VarCurr) <=> (~(v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)))))) | (v122(constB5) <=> (~(v90(constB5, bitIndex2) | (~v90(constB5, bitIndex1)) | (~v90(constB5, bitIndex0))))))),
% 14.09/9.34 inference(rewrite,[status(thm)],[])).
% 14.09/9.34 tff(5563,plain,
% 14.09/9.34 ((v122(constB5) <=> (~(v90(constB5, bitIndex2) | (~v90(constB5, bitIndex0)) | (~v90(constB5, bitIndex1))))) <=> (v122(constB5) <=> (~(v90(constB5, bitIndex2) | (~v90(constB5, bitIndex1)) | (~v90(constB5, bitIndex0)))))),
% 14.09/9.34 inference(rewrite,[status(thm)],[])).
% 14.09/9.34 tff(5564,plain,
% 14.09/9.34 (((~![VarCurr: $i] : (v122(VarCurr) <=> (~(v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)))))) | (v122(constB5) <=> (~(v90(constB5, bitIndex2) | (~v90(constB5, bitIndex0)) | (~v90(constB5, bitIndex1)))))) <=> ((~![VarCurr: $i] : (v122(VarCurr) <=> (~(v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)))))) | (v122(constB5) <=> (~(v90(constB5, bitIndex2) | (~v90(constB5, bitIndex1)) | (~v90(constB5, bitIndex0))))))),
% 14.09/9.34 inference(monotonicity,[status(thm)],[5563])).
% 14.09/9.34 tff(5565,plain,
% 14.09/9.34 (((~![VarCurr: $i] : (v122(VarCurr) <=> (~(v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)))))) | (v122(constB5) <=> (~(v90(constB5, bitIndex2) | (~v90(constB5, bitIndex0)) | (~v90(constB5, bitIndex1)))))) <=> ((~![VarCurr: $i] : (v122(VarCurr) <=> (~(v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)))))) | (v122(constB5) <=> (~(v90(constB5, bitIndex2) | (~v90(constB5, bitIndex1)) | (~v90(constB5, bitIndex0))))))),
% 14.09/9.34 inference(transitivity,[status(thm)],[5564, 5562])).
% 14.09/9.34 tff(5566,plain,
% 14.09/9.34 ((~![VarCurr: $i] : (v122(VarCurr) <=> (~(v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)))))) | (v122(constB5) <=> (~(v90(constB5, bitIndex2) | (~v90(constB5, bitIndex0)) | (~v90(constB5, bitIndex1)))))),
% 14.09/9.34 inference(quant_inst,[status(thm)],[])).
% 14.09/9.34 tff(5567,plain,
% 14.09/9.34 ((~![VarCurr: $i] : (v122(VarCurr) <=> (~(v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)))))) | (v122(constB5) <=> (~(v90(constB5, bitIndex2) | (~v90(constB5, bitIndex1)) | (~v90(constB5, bitIndex0)))))),
% 14.09/9.34 inference(modus_ponens,[status(thm)],[5566, 5565])).
% 14.09/9.34 tff(5568,plain,
% 14.09/9.34 (v122(constB5) <=> (~(v90(constB5, bitIndex2) | (~v90(constB5, bitIndex1)) | (~v90(constB5, bitIndex0))))),
% 14.09/9.34 inference(unit_resolution,[status(thm)],[5567, 734])).
% 14.09/9.34 tff(5569,plain,
% 14.09/9.34 ((v90(constB5, bitIndex2) | (~v90(constB5, bitIndex1)) | (~v90(constB5, bitIndex0))) | (~v90(constB5, bitIndex2))),
% 14.09/9.34 inference(tautology,[status(thm)],[])).
% 14.09/9.34 tff(5570,plain,
% 14.09/9.34 (v90(constB5, bitIndex2) | (~v90(constB5, bitIndex1)) | (~v90(constB5, bitIndex0))),
% 14.09/9.34 inference(unit_resolution,[status(thm)],[5569, 5392])).
% 14.09/9.34 tff(5571,plain,
% 14.09/9.34 ((~(v122(constB5) <=> (~(v90(constB5, bitIndex2) | (~v90(constB5, bitIndex1)) | (~v90(constB5, bitIndex0)))))) | (~v122(constB5)) | (~(v90(constB5, bitIndex2) | (~v90(constB5, bitIndex1)) | (~v90(constB5, bitIndex0))))),
% 14.09/9.34 inference(tautology,[status(thm)],[])).
% 14.09/9.34 tff(5572,plain,
% 14.09/9.34 (~v122(constB5)),
% 14.09/9.34 inference(unit_resolution,[status(thm)],[5571, 5570, 5568])).
% 14.09/9.34 tff(5573,plain,
% 14.09/9.34 (((~![VarCurr: $i] : (v121(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex1)))))) | (v121(constB5) <=> (~(v90(constB5, bitIndex2) | (~v90(constB5, bitIndex1)) | v90(constB5, bitIndex0))))) <=> ((~![VarCurr: $i] : (v121(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex1)))))) | (v121(constB5) <=> (~(v90(constB5, bitIndex2) | (~v90(constB5, bitIndex1)) | v90(constB5, bitIndex0)))))),
% 14.09/9.34 inference(rewrite,[status(thm)],[])).
% 14.09/9.34 tff(5574,plain,
% 14.09/9.34 ((v121(constB5) <=> (~(v90(constB5, bitIndex0) | v90(constB5, bitIndex2) | (~v90(constB5, bitIndex1))))) <=> (v121(constB5) <=> (~(v90(constB5, bitIndex2) | (~v90(constB5, bitIndex1)) | v90(constB5, bitIndex0))))),
% 14.09/9.34 inference(rewrite,[status(thm)],[])).
% 14.09/9.34 tff(5575,plain,
% 14.09/9.34 (((~![VarCurr: $i] : (v121(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex1)))))) | (v121(constB5) <=> (~(v90(constB5, bitIndex0) | v90(constB5, bitIndex2) | (~v90(constB5, bitIndex1)))))) <=> ((~![VarCurr: $i] : (v121(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex1)))))) | (v121(constB5) <=> (~(v90(constB5, bitIndex2) | (~v90(constB5, bitIndex1)) | v90(constB5, bitIndex0)))))),
% 14.09/9.34 inference(monotonicity,[status(thm)],[5574])).
% 14.09/9.34 tff(5576,plain,
% 14.09/9.34 (((~![VarCurr: $i] : (v121(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex1)))))) | (v121(constB5) <=> (~(v90(constB5, bitIndex0) | v90(constB5, bitIndex2) | (~v90(constB5, bitIndex1)))))) <=> ((~![VarCurr: $i] : (v121(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex1)))))) | (v121(constB5) <=> (~(v90(constB5, bitIndex2) | (~v90(constB5, bitIndex1)) | v90(constB5, bitIndex0)))))),
% 14.09/9.34 inference(transitivity,[status(thm)],[5575, 5573])).
% 14.09/9.34 tff(5577,plain,
% 14.09/9.34 ((~![VarCurr: $i] : (v121(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex1)))))) | (v121(constB5) <=> (~(v90(constB5, bitIndex0) | v90(constB5, bitIndex2) | (~v90(constB5, bitIndex1)))))),
% 14.09/9.35 inference(quant_inst,[status(thm)],[])).
% 14.09/9.35 tff(5578,plain,
% 14.09/9.35 ((~![VarCurr: $i] : (v121(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex1)))))) | (v121(constB5) <=> (~(v90(constB5, bitIndex2) | (~v90(constB5, bitIndex1)) | v90(constB5, bitIndex0))))),
% 14.09/9.35 inference(modus_ponens,[status(thm)],[5577, 5576])).
% 14.09/9.35 tff(5579,plain,
% 14.09/9.35 (v121(constB5) <=> (~(v90(constB5, bitIndex2) | (~v90(constB5, bitIndex1)) | v90(constB5, bitIndex0)))),
% 14.09/9.35 inference(unit_resolution,[status(thm)],[5578, 849])).
% 14.09/9.35 tff(5580,plain,
% 14.09/9.35 ((v90(constB5, bitIndex2) | (~v90(constB5, bitIndex1)) | v90(constB5, bitIndex0)) | (~v90(constB5, bitIndex2))),
% 14.09/9.35 inference(tautology,[status(thm)],[])).
% 14.09/9.35 tff(5581,plain,
% 14.09/9.35 (v90(constB5, bitIndex2) | (~v90(constB5, bitIndex1)) | v90(constB5, bitIndex0)),
% 14.09/9.35 inference(unit_resolution,[status(thm)],[5580, 5392])).
% 14.09/9.35 tff(5582,plain,
% 14.09/9.35 ((~(v121(constB5) <=> (~(v90(constB5, bitIndex2) | (~v90(constB5, bitIndex1)) | v90(constB5, bitIndex0))))) | (~v121(constB5)) | (~(v90(constB5, bitIndex2) | (~v90(constB5, bitIndex1)) | v90(constB5, bitIndex0)))),
% 14.09/9.35 inference(tautology,[status(thm)],[])).
% 14.09/9.35 tff(5583,plain,
% 14.09/9.35 (~v121(constB5)),
% 14.09/9.35 inference(unit_resolution,[status(thm)],[5582, 5581, 5579])).
% 14.09/9.35 tff(5584,plain,
% 14.09/9.35 (((~![VarCurr: $i] : (v120(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)))))) | (v120(constB5) <=> (~(v90(constB5, bitIndex2) | v90(constB5, bitIndex1) | (~v90(constB5, bitIndex0)))))) <=> ((~![VarCurr: $i] : (v120(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)))))) | (v120(constB5) <=> (~(v90(constB5, bitIndex2) | v90(constB5, bitIndex1) | (~v90(constB5, bitIndex0))))))),
% 14.09/9.35 inference(rewrite,[status(thm)],[])).
% 14.09/9.35 tff(5585,plain,
% 14.09/9.35 ((v120(constB5) <=> (~(v90(constB5, bitIndex1) | v90(constB5, bitIndex2) | (~v90(constB5, bitIndex0))))) <=> (v120(constB5) <=> (~(v90(constB5, bitIndex2) | v90(constB5, bitIndex1) | (~v90(constB5, bitIndex0)))))),
% 14.09/9.35 inference(rewrite,[status(thm)],[])).
% 14.09/9.35 tff(5586,plain,
% 14.09/9.35 (((~![VarCurr: $i] : (v120(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)))))) | (v120(constB5) <=> (~(v90(constB5, bitIndex1) | v90(constB5, bitIndex2) | (~v90(constB5, bitIndex0)))))) <=> ((~![VarCurr: $i] : (v120(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)))))) | (v120(constB5) <=> (~(v90(constB5, bitIndex2) | v90(constB5, bitIndex1) | (~v90(constB5, bitIndex0))))))),
% 14.09/9.35 inference(monotonicity,[status(thm)],[5585])).
% 14.09/9.35 tff(5587,plain,
% 14.09/9.35 (((~![VarCurr: $i] : (v120(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)))))) | (v120(constB5) <=> (~(v90(constB5, bitIndex1) | v90(constB5, bitIndex2) | (~v90(constB5, bitIndex0)))))) <=> ((~![VarCurr: $i] : (v120(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)))))) | (v120(constB5) <=> (~(v90(constB5, bitIndex2) | v90(constB5, bitIndex1) | (~v90(constB5, bitIndex0))))))),
% 14.09/9.35 inference(transitivity,[status(thm)],[5586, 5584])).
% 14.09/9.35 tff(5588,plain,
% 14.09/9.35 ((~![VarCurr: $i] : (v120(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)))))) | (v120(constB5) <=> (~(v90(constB5, bitIndex1) | v90(constB5, bitIndex2) | (~v90(constB5, bitIndex0)))))),
% 14.09/9.35 inference(quant_inst,[status(thm)],[])).
% 14.09/9.35 tff(5589,plain,
% 14.09/9.35 ((~![VarCurr: $i] : (v120(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)))))) | (v120(constB5) <=> (~(v90(constB5, bitIndex2) | v90(constB5, bitIndex1) | (~v90(constB5, bitIndex0)))))),
% 14.09/9.35 inference(modus_ponens,[status(thm)],[5588, 5587])).
% 14.09/9.35 tff(5590,plain,
% 14.09/9.35 (v120(constB5) <=> (~(v90(constB5, bitIndex2) | v90(constB5, bitIndex1) | (~v90(constB5, bitIndex0))))),
% 14.09/9.35 inference(unit_resolution,[status(thm)],[5589, 966])).
% 14.09/9.35 tff(5591,plain,
% 14.09/9.35 ((v90(constB5, bitIndex2) | v90(constB5, bitIndex1) | (~v90(constB5, bitIndex0))) | (~v90(constB5, bitIndex2))),
% 14.09/9.35 inference(tautology,[status(thm)],[])).
% 14.09/9.35 tff(5592,plain,
% 14.09/9.35 (v90(constB5, bitIndex2) | v90(constB5, bitIndex1) | (~v90(constB5, bitIndex0))),
% 14.09/9.35 inference(unit_resolution,[status(thm)],[5591, 5392])).
% 14.09/9.35 tff(5593,plain,
% 14.09/9.35 ((~(v120(constB5) <=> (~(v90(constB5, bitIndex2) | v90(constB5, bitIndex1) | (~v90(constB5, bitIndex0)))))) | (~v120(constB5)) | (~(v90(constB5, bitIndex2) | v90(constB5, bitIndex1) | (~v90(constB5, bitIndex0))))),
% 14.09/9.35 inference(tautology,[status(thm)],[])).
% 14.09/9.35 tff(5594,plain,
% 14.09/9.35 (~v120(constB5)),
% 14.09/9.35 inference(unit_resolution,[status(thm)],[5593, 5592, 5590])).
% 14.09/9.35 tff(5595,plain,
% 14.09/9.35 (^[VarCurr: $i] : refl((v124(VarCurr) | v123(VarCurr) | v122(VarCurr) | v121(VarCurr) | v120(VarCurr) | v119(VarCurr) | ![B: $i] : ((~less_3(B)) | (v130(VarCurr, B) <=> b001(B)))) <=> (v124(VarCurr) | v123(VarCurr) | v122(VarCurr) | v121(VarCurr) | v120(VarCurr) | v119(VarCurr) | ![B: $i] : ((~less_3(B)) | (v130(VarCurr, B) <=> b001(B)))))),
% 14.09/9.35 inference(bind,[status(th)],[])).
% 14.09/9.35 tff(5596,plain,
% 14.09/9.35 (![VarCurr: $i] : (v124(VarCurr) | v123(VarCurr) | v122(VarCurr) | v121(VarCurr) | v120(VarCurr) | v119(VarCurr) | ![B: $i] : ((~less_3(B)) | (v130(VarCurr, B) <=> b001(B)))) <=> ![VarCurr: $i] : (v124(VarCurr) | v123(VarCurr) | v122(VarCurr) | v121(VarCurr) | v120(VarCurr) | v119(VarCurr) | ![B: $i] : ((~less_3(B)) | (v130(VarCurr, B) <=> b001(B))))),
% 14.09/9.35 inference(quant_intro,[status(thm)],[5595])).
% 14.09/9.35 tff(5597,plain,
% 14.09/9.35 (^[VarCurr: $i] : rewrite((v124(VarCurr) | v123(VarCurr) | v122(VarCurr) | v121(VarCurr) | v120(VarCurr) | v119(VarCurr) | ![B: $i] : ((~less_3(B)) | (v130(VarCurr, B) <=> b001(B)))) <=> (v124(VarCurr) | v123(VarCurr) | v122(VarCurr) | v121(VarCurr) | v120(VarCurr) | v119(VarCurr) | ![B: $i] : ((~less_3(B)) | (v130(VarCurr, B) <=> b001(B)))))),
% 14.09/9.35 inference(bind,[status(th)],[])).
% 14.09/9.35 tff(5598,plain,
% 14.09/9.35 (![VarCurr: $i] : (v124(VarCurr) | v123(VarCurr) | v122(VarCurr) | v121(VarCurr) | v120(VarCurr) | v119(VarCurr) | ![B: $i] : ((~less_3(B)) | (v130(VarCurr, B) <=> b001(B)))) <=> ![VarCurr: $i] : (v124(VarCurr) | v123(VarCurr) | v122(VarCurr) | v121(VarCurr) | v120(VarCurr) | v119(VarCurr) | ![B: $i] : ((~less_3(B)) | (v130(VarCurr, B) <=> b001(B))))),
% 14.09/9.35 inference(quant_intro,[status(thm)],[5597])).
% 14.09/9.35 tff(5599,plain,
% 14.09/9.35 (![VarCurr: $i] : (v124(VarCurr) | v123(VarCurr) | v122(VarCurr) | v121(VarCurr) | v120(VarCurr) | v119(VarCurr) | ![B: $i] : ((~less_3(B)) | (v130(VarCurr, B) <=> b001(B)))) <=> ![VarCurr: $i] : (v124(VarCurr) | v123(VarCurr) | v122(VarCurr) | v121(VarCurr) | v120(VarCurr) | v119(VarCurr) | ![B: $i] : ((~less_3(B)) | (v130(VarCurr, B) <=> b001(B))))),
% 14.09/9.35 inference(transitivity,[status(thm)],[5598, 5596])).
% 14.09/9.35 tff(5600,plain,
% 14.09/9.35 (^[VarCurr: $i] : trans(monotonicity(trans(monotonicity(rewrite(((~v119(VarCurr)) & (~v120(VarCurr)) & (~v121(VarCurr)) & (~v122(VarCurr)) & (~v123(VarCurr)) & (~v124(VarCurr))) <=> (~(v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr)))), ((~((~v119(VarCurr)) & (~v120(VarCurr)) & (~v121(VarCurr)) & (~v122(VarCurr)) & (~v123(VarCurr)) & (~v124(VarCurr)))) <=> (~(~(v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr)))))), rewrite((~(~(v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr)))) <=> (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr))), ((~((~v119(VarCurr)) & (~v120(VarCurr)) & (~v121(VarCurr)) & (~v122(VarCurr)) & (~v123(VarCurr)) & (~v124(VarCurr)))) <=> (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr)))), (((~((~v119(VarCurr)) & (~v120(VarCurr)) & (~v121(VarCurr)) & (~v122(VarCurr)) & (~v123(VarCurr)) & (~v124(VarCurr)))) | ![B: $i] : ((~less_3(B)) | (v130(VarCurr, B) <=> b001(B)))) <=> ((v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr)) | ![B: $i] : ((~less_3(B)) | (v130(VarCurr, B) <=> b001(B)))))), rewrite(((v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr)) | ![B: $i] : ((~less_3(B)) | (v130(VarCurr, B) <=> b001(B)))) <=> (v124(VarCurr) | v123(VarCurr) | v122(VarCurr) | v121(VarCurr) | v120(VarCurr) | v119(VarCurr) | ![B: $i] : ((~less_3(B)) | (v130(VarCurr, B) <=> b001(B))))), (((~((~v119(VarCurr)) & (~v120(VarCurr)) & (~v121(VarCurr)) & (~v122(VarCurr)) & (~v123(VarCurr)) & (~v124(VarCurr)))) | ![B: $i] : ((~less_3(B)) | (v130(VarCurr, B) <=> b001(B)))) <=> (v124(VarCurr) | v123(VarCurr) | v122(VarCurr) | v121(VarCurr) | v120(VarCurr) | v119(VarCurr) | ![B: $i] : ((~less_3(B)) | (v130(VarCurr, B) <=> b001(B))))))),
% 14.09/9.35 inference(bind,[status(th)],[])).
% 14.09/9.35 tff(5601,plain,
% 14.09/9.35 (![VarCurr: $i] : ((~((~v119(VarCurr)) & (~v120(VarCurr)) & (~v121(VarCurr)) & (~v122(VarCurr)) & (~v123(VarCurr)) & (~v124(VarCurr)))) | ![B: $i] : ((~less_3(B)) | (v130(VarCurr, B) <=> b001(B)))) <=> ![VarCurr: $i] : (v124(VarCurr) | v123(VarCurr) | v122(VarCurr) | v121(VarCurr) | v120(VarCurr) | v119(VarCurr) | ![B: $i] : ((~less_3(B)) | (v130(VarCurr, B) <=> b001(B))))),
% 14.09/9.35 inference(quant_intro,[status(thm)],[5600])).
% 14.09/9.35 tff(5602,plain,
% 14.09/9.35 (![VarCurr: $i] : ((~((~v119(VarCurr)) & (~v120(VarCurr)) & (~v121(VarCurr)) & (~v122(VarCurr)) & (~v123(VarCurr)) & (~v124(VarCurr)))) | ![B: $i] : ((~less_3(B)) | (v130(VarCurr, B) <=> b001(B)))) <=> ![VarCurr: $i] : ((~((~v119(VarCurr)) & (~v120(VarCurr)) & (~v121(VarCurr)) & (~v122(VarCurr)) & (~v123(VarCurr)) & (~v124(VarCurr)))) | ![B: $i] : ((~less_3(B)) | (v130(VarCurr, B) <=> b001(B))))),
% 14.09/9.35 inference(rewrite,[status(thm)],[])).
% 14.09/9.35 tff(5603,plain,
% 14.09/9.35 (^[VarCurr: $i] : trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(rewrite((((~v119(VarCurr)) & (~v120(VarCurr))) & (~v121(VarCurr))) <=> ((~v119(VarCurr)) & (~v120(VarCurr)) & (~v121(VarCurr)))), (((((~v119(VarCurr)) & (~v120(VarCurr))) & (~v121(VarCurr))) & (~v122(VarCurr))) <=> (((~v119(VarCurr)) & (~v120(VarCurr)) & (~v121(VarCurr))) & (~v122(VarCurr))))), rewrite((((~v119(VarCurr)) & (~v120(VarCurr)) & (~v121(VarCurr))) & (~v122(VarCurr))) <=> ((~v119(VarCurr)) & (~v120(VarCurr)) & (~v121(VarCurr)) & (~v122(VarCurr)))), (((((~v119(VarCurr)) & (~v120(VarCurr))) & (~v121(VarCurr))) & (~v122(VarCurr))) <=> ((~v119(VarCurr)) & (~v120(VarCurr)) & (~v121(VarCurr)) & (~v122(VarCurr))))), ((((((~v119(VarCurr)) & (~v120(VarCurr))) & (~v121(VarCurr))) & (~v122(VarCurr))) & (~v123(VarCurr))) <=> (((~v119(VarCurr)) & (~v120(VarCurr)) & (~v121(VarCurr)) & (~v122(VarCurr))) & (~v123(VarCurr))))), rewrite((((~v119(VarCurr)) & (~v120(VarCurr)) & (~v121(VarCurr)) & (~v122(VarCurr))) & (~v123(VarCurr))) <=> ((~v119(VarCurr)) & (~v120(VarCurr)) & (~v121(VarCurr)) & (~v122(VarCurr)) & (~v123(VarCurr)))), ((((((~v119(VarCurr)) & (~v120(VarCurr))) & (~v121(VarCurr))) & (~v122(VarCurr))) & (~v123(VarCurr))) <=> ((~v119(VarCurr)) & (~v120(VarCurr)) & (~v121(VarCurr)) & (~v122(VarCurr)) & (~v123(VarCurr))))), (((((((~v119(VarCurr)) & (~v120(VarCurr))) & (~v121(VarCurr))) & (~v122(VarCurr))) & (~v123(VarCurr))) & (~v124(VarCurr))) <=> (((~v119(VarCurr)) & (~v120(VarCurr)) & (~v121(VarCurr)) & (~v122(VarCurr)) & (~v123(VarCurr))) & (~v124(VarCurr))))), rewrite((((~v119(VarCurr)) & (~v120(VarCurr)) & (~v121(VarCurr)) & (~v122(VarCurr)) & (~v123(VarCurr))) & (~v124(VarCurr))) <=> ((~v119(VarCurr)) & (~v120(VarCurr)) & (~v121(VarCurr)) & (~v122(VarCurr)) & (~v123(VarCurr)) & (~v124(VarCurr)))), (((((((~v119(VarCurr)) & (~v120(VarCurr))) & (~v121(VarCurr))) & (~v122(VarCurr))) & (~v123(VarCurr))) & (~v124(VarCurr))) <=> ((~v119(VarCurr)) & (~v120(VarCurr)) & (~v121(VarCurr)) & (~v122(VarCurr)) & (~v123(VarCurr)) & (~v124(VarCurr))))), quant_intro(proof_bind(^[B: $i] : rewrite((less_3(B) => (v130(VarCurr, B) <=> b001(B))) <=> ((~less_3(B)) | (v130(VarCurr, B) <=> b001(B))))), (![B: $i] : (less_3(B) => (v130(VarCurr, B) <=> b001(B))) <=> ![B: $i] : ((~less_3(B)) | (v130(VarCurr, B) <=> b001(B))))), ((((((((~v119(VarCurr)) & (~v120(VarCurr))) & (~v121(VarCurr))) & (~v122(VarCurr))) & (~v123(VarCurr))) & (~v124(VarCurr))) => ![B: $i] : (less_3(B) => (v130(VarCurr, B) <=> b001(B)))) <=> (((~v119(VarCurr)) & (~v120(VarCurr)) & (~v121(VarCurr)) & (~v122(VarCurr)) & (~v123(VarCurr)) & (~v124(VarCurr))) => ![B: $i] : ((~less_3(B)) | (v130(VarCurr, B) <=> b001(B)))))), rewrite((((~v119(VarCurr)) & (~v120(VarCurr)) & (~v121(VarCurr)) & (~v122(VarCurr)) & (~v123(VarCurr)) & (~v124(VarCurr))) => ![B: $i] : ((~less_3(B)) | (v130(VarCurr, B) <=> b001(B)))) <=> ((~((~v119(VarCurr)) & (~v120(VarCurr)) & (~v121(VarCurr)) & (~v122(VarCurr)) & (~v123(VarCurr)) & (~v124(VarCurr)))) | ![B: $i] : ((~less_3(B)) | (v130(VarCurr, B) <=> b001(B))))), ((((((((~v119(VarCurr)) & (~v120(VarCurr))) & (~v121(VarCurr))) & (~v122(VarCurr))) & (~v123(VarCurr))) & (~v124(VarCurr))) => ![B: $i] : (less_3(B) => (v130(VarCurr, B) <=> b001(B)))) <=> ((~((~v119(VarCurr)) & (~v120(VarCurr)) & (~v121(VarCurr)) & (~v122(VarCurr)) & (~v123(VarCurr)) & (~v124(VarCurr)))) | ![B: $i] : ((~less_3(B)) | (v130(VarCurr, B) <=> b001(B))))))),
% 14.09/9.35 inference(bind,[status(th)],[])).
% 14.09/9.35 tff(5604,plain,
% 14.09/9.35 (![VarCurr: $i] : (((((((~v119(VarCurr)) & (~v120(VarCurr))) & (~v121(VarCurr))) & (~v122(VarCurr))) & (~v123(VarCurr))) & (~v124(VarCurr))) => ![B: $i] : (less_3(B) => (v130(VarCurr, B) <=> b001(B)))) <=> ![VarCurr: $i] : ((~((~v119(VarCurr)) & (~v120(VarCurr)) & (~v121(VarCurr)) & (~v122(VarCurr)) & (~v123(VarCurr)) & (~v124(VarCurr)))) | ![B: $i] : ((~less_3(B)) | (v130(VarCurr, B) <=> b001(B))))),
% 14.09/9.35 inference(quant_intro,[status(thm)],[5603])).
% 14.09/9.35 tff(5605,axiom,(![VarCurr: $i] : (((((((~v119(VarCurr)) & (~v120(VarCurr))) & (~v121(VarCurr))) & (~v122(VarCurr))) & (~v123(VarCurr))) & (~v124(VarCurr))) => ![B: $i] : (less_3(B) => (v130(VarCurr, B) <=> b001(B))))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','addParallelCaseBooleanConditionEqualRanges6')).
% 14.09/9.35 tff(5606,plain,
% 14.09/9.35 (![VarCurr: $i] : ((~((~v119(VarCurr)) & (~v120(VarCurr)) & (~v121(VarCurr)) & (~v122(VarCurr)) & (~v123(VarCurr)) & (~v124(VarCurr)))) | ![B: $i] : ((~less_3(B)) | (v130(VarCurr, B) <=> b001(B))))),
% 14.09/9.35 inference(modus_ponens,[status(thm)],[5605, 5604])).
% 14.09/9.35 tff(5607,plain,
% 14.09/9.35 (![VarCurr: $i] : ((~((~v119(VarCurr)) & (~v120(VarCurr)) & (~v121(VarCurr)) & (~v122(VarCurr)) & (~v123(VarCurr)) & (~v124(VarCurr)))) | ![B: $i] : ((~less_3(B)) | (v130(VarCurr, B) <=> b001(B))))),
% 14.09/9.35 inference(modus_ponens,[status(thm)],[5606, 5602])).
% 14.09/9.35 tff(5608,plain,(
% 14.09/9.35 ![VarCurr: $i] : ((~((~v119(VarCurr)) & (~v120(VarCurr)) & (~v121(VarCurr)) & (~v122(VarCurr)) & (~v123(VarCurr)) & (~v124(VarCurr)))) | ![B: $i] : ((~less_3(B)) | (v130(VarCurr, B) <=> b001(B))))),
% 14.09/9.35 inference(skolemize,[status(sab)],[5607])).
% 14.09/9.35 tff(5609,plain,
% 14.09/9.35 (![VarCurr: $i] : (v124(VarCurr) | v123(VarCurr) | v122(VarCurr) | v121(VarCurr) | v120(VarCurr) | v119(VarCurr) | ![B: $i] : ((~less_3(B)) | (v130(VarCurr, B) <=> b001(B))))),
% 14.09/9.35 inference(modus_ponens,[status(thm)],[5608, 5601])).
% 14.09/9.35 tff(5610,plain,
% 14.09/9.35 (![VarCurr: $i] : (v124(VarCurr) | v123(VarCurr) | v122(VarCurr) | v121(VarCurr) | v120(VarCurr) | v119(VarCurr) | ![B: $i] : ((~less_3(B)) | (v130(VarCurr, B) <=> b001(B))))),
% 14.09/9.35 inference(modus_ponens,[status(thm)],[5609, 5599])).
% 14.09/9.35 tff(5611,plain,
% 14.09/9.35 (((~![VarCurr: $i] : (v124(VarCurr) | v123(VarCurr) | v122(VarCurr) | v121(VarCurr) | v120(VarCurr) | v119(VarCurr) | ![B: $i] : ((~less_3(B)) | (v130(VarCurr, B) <=> b001(B))))) | (v120(constB5) | v119(constB5) | v121(constB5) | v122(constB5) | v123(constB5) | v124(constB5) | ![B: $i] : ((~less_3(B)) | (v130(constB5, B) <=> b001(B))))) <=> ((~![VarCurr: $i] : (v124(VarCurr) | v123(VarCurr) | v122(VarCurr) | v121(VarCurr) | v120(VarCurr) | v119(VarCurr) | ![B: $i] : ((~less_3(B)) | (v130(VarCurr, B) <=> b001(B))))) | v120(constB5) | v119(constB5) | v121(constB5) | v122(constB5) | v123(constB5) | v124(constB5) | ![B: $i] : ((~less_3(B)) | (v130(constB5, B) <=> b001(B))))),
% 14.09/9.35 inference(rewrite,[status(thm)],[])).
% 14.09/9.35 tff(5612,plain,
% 14.09/9.35 ((v124(constB5) | v123(constB5) | v122(constB5) | v121(constB5) | v120(constB5) | v119(constB5) | ![B: $i] : ((~less_3(B)) | (v130(constB5, B) <=> b001(B)))) <=> (v120(constB5) | v119(constB5) | v121(constB5) | v122(constB5) | v123(constB5) | v124(constB5) | ![B: $i] : ((~less_3(B)) | (v130(constB5, B) <=> b001(B))))),
% 14.09/9.35 inference(rewrite,[status(thm)],[])).
% 14.09/9.35 tff(5613,plain,
% 14.09/9.35 (((~![VarCurr: $i] : (v124(VarCurr) | v123(VarCurr) | v122(VarCurr) | v121(VarCurr) | v120(VarCurr) | v119(VarCurr) | ![B: $i] : ((~less_3(B)) | (v130(VarCurr, B) <=> b001(B))))) | (v124(constB5) | v123(constB5) | v122(constB5) | v121(constB5) | v120(constB5) | v119(constB5) | ![B: $i] : ((~less_3(B)) | (v130(constB5, B) <=> b001(B))))) <=> ((~![VarCurr: $i] : (v124(VarCurr) | v123(VarCurr) | v122(VarCurr) | v121(VarCurr) | v120(VarCurr) | v119(VarCurr) | ![B: $i] : ((~less_3(B)) | (v130(VarCurr, B) <=> b001(B))))) | (v120(constB5) | v119(constB5) | v121(constB5) | v122(constB5) | v123(constB5) | v124(constB5) | ![B: $i] : ((~less_3(B)) | (v130(constB5, B) <=> b001(B)))))),
% 14.09/9.35 inference(monotonicity,[status(thm)],[5612])).
% 14.09/9.35 tff(5614,plain,
% 14.09/9.35 (((~![VarCurr: $i] : (v124(VarCurr) | v123(VarCurr) | v122(VarCurr) | v121(VarCurr) | v120(VarCurr) | v119(VarCurr) | ![B: $i] : ((~less_3(B)) | (v130(VarCurr, B) <=> b001(B))))) | (v124(constB5) | v123(constB5) | v122(constB5) | v121(constB5) | v120(constB5) | v119(constB5) | ![B: $i] : ((~less_3(B)) | (v130(constB5, B) <=> b001(B))))) <=> ((~![VarCurr: $i] : (v124(VarCurr) | v123(VarCurr) | v122(VarCurr) | v121(VarCurr) | v120(VarCurr) | v119(VarCurr) | ![B: $i] : ((~less_3(B)) | (v130(VarCurr, B) <=> b001(B))))) | v120(constB5) | v119(constB5) | v121(constB5) | v122(constB5) | v123(constB5) | v124(constB5) | ![B: $i] : ((~less_3(B)) | (v130(constB5, B) <=> b001(B))))),
% 14.09/9.35 inference(transitivity,[status(thm)],[5613, 5611])).
% 14.09/9.35 tff(5615,plain,
% 14.09/9.35 ((~![VarCurr: $i] : (v124(VarCurr) | v123(VarCurr) | v122(VarCurr) | v121(VarCurr) | v120(VarCurr) | v119(VarCurr) | ![B: $i] : ((~less_3(B)) | (v130(VarCurr, B) <=> b001(B))))) | (v124(constB5) | v123(constB5) | v122(constB5) | v121(constB5) | v120(constB5) | v119(constB5) | ![B: $i] : ((~less_3(B)) | (v130(constB5, B) <=> b001(B))))),
% 14.09/9.35 inference(quant_inst,[status(thm)],[])).
% 14.09/9.35 tff(5616,plain,
% 14.09/9.35 ((~![VarCurr: $i] : (v124(VarCurr) | v123(VarCurr) | v122(VarCurr) | v121(VarCurr) | v120(VarCurr) | v119(VarCurr) | ![B: $i] : ((~less_3(B)) | (v130(VarCurr, B) <=> b001(B))))) | v120(constB5) | v119(constB5) | v121(constB5) | v122(constB5) | v123(constB5) | v124(constB5) | ![B: $i] : ((~less_3(B)) | (v130(constB5, B) <=> b001(B)))),
% 14.09/9.35 inference(modus_ponens,[status(thm)],[5615, 5614])).
% 14.09/9.35 tff(5617,plain,
% 14.09/9.35 (v120(constB5) | v119(constB5) | v121(constB5) | v122(constB5) | v123(constB5) | v124(constB5) | ![B: $i] : ((~less_3(B)) | (v130(constB5, B) <=> b001(B)))),
% 14.09/9.35 inference(unit_resolution,[status(thm)],[5616, 5610])).
% 14.09/9.35 tff(5618,plain,
% 14.09/9.35 (![B: $i] : ((~less_3(B)) | (v130(constB5, B) <=> b001(B)))),
% 14.09/9.35 inference(unit_resolution,[status(thm)],[5617, 5594, 5583, 5572, 5561, 5550, 5526])).
% 14.09/9.35 tff(5619,plain,
% 14.09/9.35 (((~![B: $i] : ((~less_3(B)) | (v130(constB5, B) <=> b001(B)))) | ((~less_3(bitIndex2)) | (v130(constB5, bitIndex2) <=> b001(bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v130(constB5, B) <=> b001(B)))) | (~less_3(bitIndex2)) | (v130(constB5, bitIndex2) <=> b001(bitIndex2)))),
% 14.09/9.35 inference(rewrite,[status(thm)],[])).
% 14.09/9.35 tff(5620,plain,
% 14.09/9.35 ((~![B: $i] : ((~less_3(B)) | (v130(constB5, B) <=> b001(B)))) | ((~less_3(bitIndex2)) | (v130(constB5, bitIndex2) <=> b001(bitIndex2)))),
% 14.09/9.35 inference(quant_inst,[status(thm)],[])).
% 14.09/9.35 tff(5621,plain,
% 14.09/9.35 ((~![B: $i] : ((~less_3(B)) | (v130(constB5, B) <=> b001(B)))) | (~less_3(bitIndex2)) | (v130(constB5, bitIndex2) <=> b001(bitIndex2))),
% 14.09/9.35 inference(modus_ponens,[status(thm)],[5620, 5619])).
% 14.09/9.35 tff(5622,plain,
% 14.09/9.35 (v130(constB5, bitIndex2) <=> b001(bitIndex2)),
% 14.09/9.35 inference(unit_resolution,[status(thm)],[5621, 413, 5618])).
% 14.09/9.35 tff(5623,plain,
% 14.09/9.35 ((~b001(bitIndex2)) <=> (~b001(bitIndex2))),
% 14.09/9.35 inference(rewrite,[status(thm)],[])).
% 14.09/9.35 tff(5624,axiom,(~b001(bitIndex2)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bitBlastConstant_5')).
% 14.09/9.35 tff(5625,plain,
% 14.09/9.35 (~b001(bitIndex2)),
% 14.09/9.35 inference(modus_ponens,[status(thm)],[5624, 5623])).
% 14.09/9.35 tff(5626,plain,
% 14.09/9.35 ((~(v130(constB5, bitIndex2) <=> b001(bitIndex2))) | (~v130(constB5, bitIndex2)) | b001(bitIndex2)),
% 14.09/9.35 inference(tautology,[status(thm)],[])).
% 14.09/9.35 tff(5627,plain,
% 14.09/9.35 ((~(v130(constB5, bitIndex2) <=> b001(bitIndex2))) | (~v130(constB5, bitIndex2))),
% 14.09/9.35 inference(unit_resolution,[status(thm)],[5626, 5625])).
% 14.09/9.35 tff(5628,plain,
% 14.09/9.35 (~v130(constB5, bitIndex2)),
% 14.09/9.35 inference(unit_resolution,[status(thm)],[5627, 5622])).
% 14.09/9.35 tff(5629,plain,
% 14.09/9.35 ((~(v127(constB5, bitIndex2) <=> v130(constB5, bitIndex2))) | (~v127(constB5, bitIndex2)) | v130(constB5, bitIndex2)),
% 14.09/9.35 inference(tautology,[status(thm)],[])).
% 14.09/9.35 tff(5630,plain,
% 14.09/9.35 (~v127(constB5, bitIndex2)),
% 14.09/9.35 inference(unit_resolution,[status(thm)],[5629, 5628, 5520])).
% 14.09/9.35 tff(5631,plain,
% 14.09/9.35 ((~(v129(constB6, bitIndex2) <=> v127(constB5, bitIndex2))) | (~v129(constB6, bitIndex2)) | v127(constB5, bitIndex2)),
% 14.09/9.35 inference(tautology,[status(thm)],[])).
% 14.09/9.35 tff(5632,plain,
% 14.09/9.35 (~v129(constB6, bitIndex2)),
% 14.09/9.35 inference(unit_resolution,[status(thm)],[5631, 5630, 5512])).
% 14.09/9.35 tff(5633,plain,
% 14.09/9.35 ((~(v90(constB6, bitIndex2) <=> v129(constB6, bitIndex2))) | (~v90(constB6, bitIndex2)) | v129(constB6, bitIndex2)),
% 14.09/9.35 inference(tautology,[status(thm)],[])).
% 14.09/9.35 tff(5634,plain,
% 14.09/9.35 (~v90(constB6, bitIndex2)),
% 14.09/9.35 inference(unit_resolution,[status(thm)],[5633, 5632, 5504])).
% 14.09/9.35 tff(5635,plain,
% 14.09/9.35 ((~(v90(constB7, bitIndex2) <=> v90(constB6, bitIndex2))) | (~v90(constB7, bitIndex2)) | v90(constB6, bitIndex2)),
% 14.09/9.35 inference(tautology,[status(thm)],[])).
% 14.09/9.35 tff(5636,plain,
% 14.09/9.35 (~v90(constB7, bitIndex2)),
% 14.09/9.35 inference(unit_resolution,[status(thm)],[5635, 5634, 4722])).
% 14.09/9.35 tff(5637,plain,
% 14.09/9.35 (((~![B: $i] : ((~less_3(B)) | (v90(constB7, B) <=> v90(constB6, B)))) | ((~less_3(bitIndex0)) | (v90(constB7, bitIndex0) <=> v90(constB6, bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v90(constB7, B) <=> v90(constB6, B)))) | (~less_3(bitIndex0)) | (v90(constB7, bitIndex0) <=> v90(constB6, bitIndex0)))),
% 14.09/9.35 inference(rewrite,[status(thm)],[])).
% 14.09/9.35 tff(5638,plain,
% 14.09/9.35 ((~![B: $i] : ((~less_3(B)) | (v90(constB7, B) <=> v90(constB6, B)))) | ((~less_3(bitIndex0)) | (v90(constB7, bitIndex0) <=> v90(constB6, bitIndex0)))),
% 14.09/9.35 inference(quant_inst,[status(thm)],[])).
% 14.09/9.35 tff(5639,plain,
% 14.09/9.35 ((~![B: $i] : ((~less_3(B)) | (v90(constB7, B) <=> v90(constB6, B)))) | (~less_3(bitIndex0)) | (v90(constB7, bitIndex0) <=> v90(constB6, bitIndex0))),
% 14.09/9.35 inference(modus_ponens,[status(thm)],[5638, 5637])).
% 14.09/9.35 tff(5640,plain,
% 14.09/9.35 (v90(constB7, bitIndex0) <=> v90(constB6, bitIndex0)),
% 14.09/9.35 inference(unit_resolution,[status(thm)],[5639, 5004, 4718])).
% 14.09/9.35 tff(5641,plain,
% 14.09/9.35 (((~![B: $i] : ((~less_3(B)) | (v90(constB6, B) <=> v129(constB6, B)))) | ((~less_3(bitIndex0)) | (v90(constB6, bitIndex0) <=> v129(constB6, bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v90(constB6, B) <=> v129(constB6, B)))) | (~less_3(bitIndex0)) | (v90(constB6, bitIndex0) <=> v129(constB6, bitIndex0)))),
% 14.09/9.35 inference(rewrite,[status(thm)],[])).
% 14.09/9.35 tff(5642,plain,
% 14.09/9.35 ((~![B: $i] : ((~less_3(B)) | (v90(constB6, B) <=> v129(constB6, B)))) | ((~less_3(bitIndex0)) | (v90(constB6, bitIndex0) <=> v129(constB6, bitIndex0)))),
% 14.09/9.35 inference(quant_inst,[status(thm)],[])).
% 14.09/9.35 tff(5643,plain,
% 14.09/9.35 ((~![B: $i] : ((~less_3(B)) | (v90(constB6, B) <=> v129(constB6, B)))) | (~less_3(bitIndex0)) | (v90(constB6, bitIndex0) <=> v129(constB6, bitIndex0))),
% 14.09/9.35 inference(modus_ponens,[status(thm)],[5642, 5641])).
% 14.09/9.35 tff(5644,plain,
% 14.09/9.35 (v90(constB6, bitIndex0) <=> v129(constB6, bitIndex0)),
% 14.09/9.35 inference(unit_resolution,[status(thm)],[5643, 5004, 5500])).
% 14.09/9.35 tff(5645,plain,
% 14.09/9.35 (((~![B: $i] : ((~less_3(B)) | (v129(constB6, B) <=> v127(constB5, B)))) | ((~less_3(bitIndex0)) | (v129(constB6, bitIndex0) <=> v127(constB5, bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v129(constB6, B) <=> v127(constB5, B)))) | (~less_3(bitIndex0)) | (v129(constB6, bitIndex0) <=> v127(constB5, bitIndex0)))),
% 14.09/9.35 inference(rewrite,[status(thm)],[])).
% 14.09/9.35 tff(5646,plain,
% 14.09/9.35 ((~![B: $i] : ((~less_3(B)) | (v129(constB6, B) <=> v127(constB5, B)))) | ((~less_3(bitIndex0)) | (v129(constB6, bitIndex0) <=> v127(constB5, bitIndex0)))),
% 14.09/9.35 inference(quant_inst,[status(thm)],[])).
% 14.09/9.35 tff(5647,plain,
% 14.09/9.35 ((~![B: $i] : ((~less_3(B)) | (v129(constB6, B) <=> v127(constB5, B)))) | (~less_3(bitIndex0)) | (v129(constB6, bitIndex0) <=> v127(constB5, bitIndex0))),
% 14.09/9.35 inference(modus_ponens,[status(thm)],[5646, 5645])).
% 14.09/9.35 tff(5648,plain,
% 14.09/9.35 (v129(constB6, bitIndex0) <=> v127(constB5, bitIndex0)),
% 14.09/9.35 inference(unit_resolution,[status(thm)],[5647, 5004, 5508])).
% 14.09/9.35 tff(5649,plain,
% 14.09/9.35 (((~![B: $i] : ((~less_3(B)) | (v127(constB5, B) <=> v130(constB5, B)))) | ((~less_3(bitIndex0)) | (v127(constB5, bitIndex0) <=> v130(constB5, bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v127(constB5, B) <=> v130(constB5, B)))) | (~less_3(bitIndex0)) | (v127(constB5, bitIndex0) <=> v130(constB5, bitIndex0)))),
% 14.09/9.35 inference(rewrite,[status(thm)],[])).
% 14.09/9.35 tff(5650,plain,
% 14.09/9.35 ((~![B: $i] : ((~less_3(B)) | (v127(constB5, B) <=> v130(constB5, B)))) | ((~less_3(bitIndex0)) | (v127(constB5, bitIndex0) <=> v130(constB5, bitIndex0)))),
% 14.09/9.35 inference(quant_inst,[status(thm)],[])).
% 14.09/9.35 tff(5651,plain,
% 14.09/9.35 ((~![B: $i] : ((~less_3(B)) | (v127(constB5, B) <=> v130(constB5, B)))) | (~less_3(bitIndex0)) | (v127(constB5, bitIndex0) <=> v130(constB5, bitIndex0))),
% 14.09/9.35 inference(modus_ponens,[status(thm)],[5650, 5649])).
% 14.09/9.35 tff(5652,plain,
% 14.09/9.35 (v127(constB5, bitIndex0) <=> v130(constB5, bitIndex0)),
% 14.09/9.35 inference(unit_resolution,[status(thm)],[5651, 5004, 5516])).
% 14.09/9.35 tff(5653,plain,
% 14.09/9.35 (((~![B: $i] : ((~less_3(B)) | (v130(constB5, B) <=> b001(B)))) | ((~less_3(bitIndex0)) | (v130(constB5, bitIndex0) <=> b001(bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v130(constB5, B) <=> b001(B)))) | (~less_3(bitIndex0)) | (v130(constB5, bitIndex0) <=> b001(bitIndex0)))),
% 14.09/9.35 inference(rewrite,[status(thm)],[])).
% 14.09/9.35 tff(5654,plain,
% 14.09/9.35 ((~![B: $i] : ((~less_3(B)) | (v130(constB5, B) <=> b001(B)))) | ((~less_3(bitIndex0)) | (v130(constB5, bitIndex0) <=> b001(bitIndex0)))),
% 14.09/9.35 inference(quant_inst,[status(thm)],[])).
% 14.09/9.35 tff(5655,plain,
% 14.09/9.35 ((~![B: $i] : ((~less_3(B)) | (v130(constB5, B) <=> b001(B)))) | (~less_3(bitIndex0)) | (v130(constB5, bitIndex0) <=> b001(bitIndex0))),
% 14.09/9.35 inference(modus_ponens,[status(thm)],[5654, 5653])).
% 14.09/9.35 tff(5656,plain,
% 14.09/9.35 (v130(constB5, bitIndex0) <=> b001(bitIndex0)),
% 14.09/9.35 inference(unit_resolution,[status(thm)],[5655, 5004, 5618])).
% 14.09/9.35 tff(5657,plain,
% 14.09/9.35 (b001(bitIndex0) <=> b001(bitIndex0)),
% 14.09/9.35 inference(rewrite,[status(thm)],[])).
% 14.09/9.35 tff(5658,axiom,(b001(bitIndex0)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bitBlastConstant_3')).
% 14.09/9.35 tff(5659,plain,
% 14.09/9.35 (b001(bitIndex0)),
% 14.09/9.35 inference(modus_ponens,[status(thm)],[5658, 5657])).
% 14.09/9.35 tff(5660,plain,
% 14.09/9.35 ((~(v130(constB5, bitIndex0) <=> b001(bitIndex0))) | v130(constB5, bitIndex0) | (~b001(bitIndex0))),
% 14.09/9.35 inference(tautology,[status(thm)],[])).
% 14.09/9.35 tff(5661,plain,
% 14.09/9.35 ((~(v130(constB5, bitIndex0) <=> b001(bitIndex0))) | v130(constB5, bitIndex0)),
% 14.09/9.35 inference(unit_resolution,[status(thm)],[5660, 5659])).
% 14.09/9.35 tff(5662,plain,
% 14.09/9.35 (v130(constB5, bitIndex0)),
% 14.09/9.35 inference(unit_resolution,[status(thm)],[5661, 5656])).
% 14.09/9.35 tff(5663,plain,
% 14.09/9.35 ((~(v127(constB5, bitIndex0) <=> v130(constB5, bitIndex0))) | v127(constB5, bitIndex0) | (~v130(constB5, bitIndex0))),
% 14.09/9.35 inference(tautology,[status(thm)],[])).
% 14.09/9.35 tff(5664,plain,
% 14.09/9.35 (v127(constB5, bitIndex0)),
% 14.09/9.35 inference(unit_resolution,[status(thm)],[5663, 5662, 5652])).
% 14.09/9.35 tff(5665,plain,
% 14.09/9.35 ((~(v129(constB6, bitIndex0) <=> v127(constB5, bitIndex0))) | v129(constB6, bitIndex0) | (~v127(constB5, bitIndex0))),
% 14.09/9.35 inference(tautology,[status(thm)],[])).
% 14.09/9.35 tff(5666,plain,
% 14.09/9.35 (v129(constB6, bitIndex0)),
% 14.09/9.35 inference(unit_resolution,[status(thm)],[5665, 5664, 5648])).
% 14.09/9.35 tff(5667,plain,
% 14.09/9.35 ((~(v90(constB6, bitIndex0) <=> v129(constB6, bitIndex0))) | v90(constB6, bitIndex0) | (~v129(constB6, bitIndex0))),
% 14.09/9.35 inference(tautology,[status(thm)],[])).
% 14.09/9.35 tff(5668,plain,
% 14.09/9.35 (v90(constB6, bitIndex0)),
% 14.09/9.35 inference(unit_resolution,[status(thm)],[5667, 5666, 5644])).
% 14.09/9.35 tff(5669,plain,
% 14.09/9.35 ((~(v90(constB7, bitIndex0) <=> v90(constB6, bitIndex0))) | v90(constB7, bitIndex0) | (~v90(constB6, bitIndex0))),
% 14.09/9.35 inference(tautology,[status(thm)],[])).
% 14.09/9.35 tff(5670,plain,
% 14.09/9.35 (v90(constB7, bitIndex0)),
% 14.09/9.35 inference(unit_resolution,[status(thm)],[5669, 5668, 5640])).
% 14.09/9.35 tff(5671,plain,
% 14.09/9.35 (((~![B: $i] : ((~less_3(B)) | (v90(constB7, B) <=> v90(constB6, B)))) | ((~less_3(bitIndex1)) | (v90(constB7, bitIndex1) <=> v90(constB6, bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v90(constB7, B) <=> v90(constB6, B)))) | (~less_3(bitIndex1)) | (v90(constB7, bitIndex1) <=> v90(constB6, bitIndex1)))),
% 14.09/9.35 inference(rewrite,[status(thm)],[])).
% 14.09/9.35 tff(5672,plain,
% 14.09/9.35 ((~![B: $i] : ((~less_3(B)) | (v90(constB7, B) <=> v90(constB6, B)))) | ((~less_3(bitIndex1)) | (v90(constB7, bitIndex1) <=> v90(constB6, bitIndex1)))),
% 14.09/9.35 inference(quant_inst,[status(thm)],[])).
% 14.09/9.35 tff(5673,plain,
% 14.09/9.35 ((~![B: $i] : ((~less_3(B)) | (v90(constB7, B) <=> v90(constB6, B)))) | (~less_3(bitIndex1)) | (v90(constB7, bitIndex1) <=> v90(constB6, bitIndex1))),
% 14.09/9.35 inference(modus_ponens,[status(thm)],[5672, 5671])).
% 14.09/9.35 tff(5674,plain,
% 14.09/9.35 (v90(constB7, bitIndex1) <=> v90(constB6, bitIndex1)),
% 14.09/9.35 inference(unit_resolution,[status(thm)],[5673, 5017, 4718])).
% 14.09/9.35 tff(5675,plain,
% 14.09/9.35 (((~![B: $i] : ((~less_3(B)) | (v90(constB6, B) <=> v129(constB6, B)))) | ((~less_3(bitIndex1)) | (v90(constB6, bitIndex1) <=> v129(constB6, bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v90(constB6, B) <=> v129(constB6, B)))) | (~less_3(bitIndex1)) | (v90(constB6, bitIndex1) <=> v129(constB6, bitIndex1)))),
% 14.09/9.35 inference(rewrite,[status(thm)],[])).
% 14.09/9.35 tff(5676,plain,
% 14.09/9.35 ((~![B: $i] : ((~less_3(B)) | (v90(constB6, B) <=> v129(constB6, B)))) | ((~less_3(bitIndex1)) | (v90(constB6, bitIndex1) <=> v129(constB6, bitIndex1)))),
% 14.09/9.35 inference(quant_inst,[status(thm)],[])).
% 14.09/9.35 tff(5677,plain,
% 14.09/9.35 ((~![B: $i] : ((~less_3(B)) | (v90(constB6, B) <=> v129(constB6, B)))) | (~less_3(bitIndex1)) | (v90(constB6, bitIndex1) <=> v129(constB6, bitIndex1))),
% 14.09/9.35 inference(modus_ponens,[status(thm)],[5676, 5675])).
% 14.09/9.35 tff(5678,plain,
% 14.09/9.35 (v90(constB6, bitIndex1) <=> v129(constB6, bitIndex1)),
% 14.09/9.35 inference(unit_resolution,[status(thm)],[5677, 5017, 5500])).
% 14.09/9.35 tff(5679,plain,
% 14.09/9.35 (((~![B: $i] : ((~less_3(B)) | (v129(constB6, B) <=> v127(constB5, B)))) | ((~less_3(bitIndex1)) | (v129(constB6, bitIndex1) <=> v127(constB5, bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v129(constB6, B) <=> v127(constB5, B)))) | (~less_3(bitIndex1)) | (v129(constB6, bitIndex1) <=> v127(constB5, bitIndex1)))),
% 14.09/9.35 inference(rewrite,[status(thm)],[])).
% 14.09/9.35 tff(5680,plain,
% 14.09/9.35 ((~![B: $i] : ((~less_3(B)) | (v129(constB6, B) <=> v127(constB5, B)))) | ((~less_3(bitIndex1)) | (v129(constB6, bitIndex1) <=> v127(constB5, bitIndex1)))),
% 14.09/9.35 inference(quant_inst,[status(thm)],[])).
% 14.09/9.35 tff(5681,plain,
% 14.09/9.35 ((~![B: $i] : ((~less_3(B)) | (v129(constB6, B) <=> v127(constB5, B)))) | (~less_3(bitIndex1)) | (v129(constB6, bitIndex1) <=> v127(constB5, bitIndex1))),
% 14.09/9.35 inference(modus_ponens,[status(thm)],[5680, 5679])).
% 14.09/9.35 tff(5682,plain,
% 14.09/9.35 (v129(constB6, bitIndex1) <=> v127(constB5, bitIndex1)),
% 14.09/9.35 inference(unit_resolution,[status(thm)],[5681, 5017, 5508])).
% 14.09/9.35 tff(5683,plain,
% 14.09/9.35 (((~![B: $i] : ((~less_3(B)) | (v127(constB5, B) <=> v130(constB5, B)))) | ((~less_3(bitIndex1)) | (v127(constB5, bitIndex1) <=> v130(constB5, bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v127(constB5, B) <=> v130(constB5, B)))) | (~less_3(bitIndex1)) | (v127(constB5, bitIndex1) <=> v130(constB5, bitIndex1)))),
% 14.09/9.35 inference(rewrite,[status(thm)],[])).
% 14.09/9.35 tff(5684,plain,
% 14.09/9.35 ((~![B: $i] : ((~less_3(B)) | (v127(constB5, B) <=> v130(constB5, B)))) | ((~less_3(bitIndex1)) | (v127(constB5, bitIndex1) <=> v130(constB5, bitIndex1)))),
% 14.09/9.35 inference(quant_inst,[status(thm)],[])).
% 14.09/9.35 tff(5685,plain,
% 14.09/9.35 ((~![B: $i] : ((~less_3(B)) | (v127(constB5, B) <=> v130(constB5, B)))) | (~less_3(bitIndex1)) | (v127(constB5, bitIndex1) <=> v130(constB5, bitIndex1))),
% 14.09/9.35 inference(modus_ponens,[status(thm)],[5684, 5683])).
% 14.09/9.35 tff(5686,plain,
% 14.09/9.35 (v127(constB5, bitIndex1) <=> v130(constB5, bitIndex1)),
% 14.09/9.35 inference(unit_resolution,[status(thm)],[5685, 5017, 5516])).
% 14.09/9.35 tff(5687,plain,
% 14.09/9.35 (((~![B: $i] : ((~less_3(B)) | (v130(constB5, B) <=> b001(B)))) | ((~less_3(bitIndex1)) | (v130(constB5, bitIndex1) <=> b001(bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v130(constB5, B) <=> b001(B)))) | (~less_3(bitIndex1)) | (v130(constB5, bitIndex1) <=> b001(bitIndex1)))),
% 14.09/9.36 inference(rewrite,[status(thm)],[])).
% 14.09/9.36 tff(5688,plain,
% 14.09/9.36 ((~![B: $i] : ((~less_3(B)) | (v130(constB5, B) <=> b001(B)))) | ((~less_3(bitIndex1)) | (v130(constB5, bitIndex1) <=> b001(bitIndex1)))),
% 14.09/9.36 inference(quant_inst,[status(thm)],[])).
% 14.09/9.36 tff(5689,plain,
% 14.09/9.36 ((~![B: $i] : ((~less_3(B)) | (v130(constB5, B) <=> b001(B)))) | (~less_3(bitIndex1)) | (v130(constB5, bitIndex1) <=> b001(bitIndex1))),
% 14.09/9.36 inference(modus_ponens,[status(thm)],[5688, 5687])).
% 14.09/9.36 tff(5690,plain,
% 14.09/9.36 (v130(constB5, bitIndex1) <=> b001(bitIndex1)),
% 14.09/9.36 inference(unit_resolution,[status(thm)],[5689, 5017, 5618])).
% 14.09/9.36 tff(5691,plain,
% 14.09/9.36 ((~b001(bitIndex1)) <=> (~b001(bitIndex1))),
% 14.09/9.36 inference(rewrite,[status(thm)],[])).
% 14.09/9.36 tff(5692,axiom,(~b001(bitIndex1)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bitBlastConstant_4')).
% 14.09/9.36 tff(5693,plain,
% 14.09/9.36 (~b001(bitIndex1)),
% 14.09/9.36 inference(modus_ponens,[status(thm)],[5692, 5691])).
% 14.09/9.36 tff(5694,plain,
% 14.09/9.36 ((~(v130(constB5, bitIndex1) <=> b001(bitIndex1))) | (~v130(constB5, bitIndex1)) | b001(bitIndex1)),
% 14.09/9.36 inference(tautology,[status(thm)],[])).
% 14.09/9.36 tff(5695,plain,
% 14.09/9.36 ((~(v130(constB5, bitIndex1) <=> b001(bitIndex1))) | (~v130(constB5, bitIndex1))),
% 14.09/9.36 inference(unit_resolution,[status(thm)],[5694, 5693])).
% 14.09/9.36 tff(5696,plain,
% 14.09/9.36 (~v130(constB5, bitIndex1)),
% 14.09/9.36 inference(unit_resolution,[status(thm)],[5695, 5690])).
% 14.09/9.36 tff(5697,plain,
% 14.09/9.36 ((~(v127(constB5, bitIndex1) <=> v130(constB5, bitIndex1))) | (~v127(constB5, bitIndex1)) | v130(constB5, bitIndex1)),
% 14.09/9.36 inference(tautology,[status(thm)],[])).
% 14.09/9.36 tff(5698,plain,
% 14.09/9.36 (~v127(constB5, bitIndex1)),
% 14.09/9.36 inference(unit_resolution,[status(thm)],[5697, 5696, 5686])).
% 14.09/9.36 tff(5699,plain,
% 14.09/9.36 ((~(v129(constB6, bitIndex1) <=> v127(constB5, bitIndex1))) | (~v129(constB6, bitIndex1)) | v127(constB5, bitIndex1)),
% 14.09/9.36 inference(tautology,[status(thm)],[])).
% 14.09/9.36 tff(5700,plain,
% 14.09/9.36 (~v129(constB6, bitIndex1)),
% 14.09/9.36 inference(unit_resolution,[status(thm)],[5699, 5698, 5682])).
% 14.09/9.36 tff(5701,plain,
% 14.09/9.36 ((~(v90(constB6, bitIndex1) <=> v129(constB6, bitIndex1))) | (~v90(constB6, bitIndex1)) | v129(constB6, bitIndex1)),
% 14.09/9.36 inference(tautology,[status(thm)],[])).
% 14.09/9.36 tff(5702,plain,
% 14.09/9.36 (~v90(constB6, bitIndex1)),
% 14.09/9.36 inference(unit_resolution,[status(thm)],[5701, 5700, 5678])).
% 14.09/9.36 tff(5703,plain,
% 14.09/9.36 ((~(v90(constB7, bitIndex1) <=> v90(constB6, bitIndex1))) | (~v90(constB7, bitIndex1)) | v90(constB6, bitIndex1)),
% 14.09/9.36 inference(tautology,[status(thm)],[])).
% 14.09/9.36 tff(5704,plain,
% 14.09/9.36 (~v90(constB7, bitIndex1)),
% 14.09/9.36 inference(unit_resolution,[status(thm)],[5703, 5702, 5674])).
% 14.09/9.36 tff(5705,plain,
% 14.09/9.36 ((~(v90(constB7, bitIndex2) | v90(constB7, bitIndex1) | (~v90(constB7, bitIndex0)))) | v90(constB7, bitIndex2) | v90(constB7, bitIndex1) | (~v90(constB7, bitIndex0))),
% 14.09/9.36 inference(tautology,[status(thm)],[])).
% 14.09/9.36 tff(5706,plain,
% 14.09/9.36 (~(v90(constB7, bitIndex2) | v90(constB7, bitIndex1) | (~v90(constB7, bitIndex0)))),
% 14.09/9.36 inference(unit_resolution,[status(thm)],[5705, 5704, 5670, 5636])).
% 14.09/9.36 tff(5707,plain,
% 14.09/9.36 ((~(v120(constB7) <=> (~(v90(constB7, bitIndex2) | v90(constB7, bitIndex1) | (~v90(constB7, bitIndex0)))))) | v120(constB7) | (v90(constB7, bitIndex2) | v90(constB7, bitIndex1) | (~v90(constB7, bitIndex0)))),
% 14.09/9.36 inference(tautology,[status(thm)],[])).
% 14.09/9.36 tff(5708,plain,
% 14.09/9.36 (v120(constB7)),
% 14.09/9.36 inference(unit_resolution,[status(thm)],[5707, 5706, 4690])).
% 14.09/9.36 tff(5709,plain,
% 14.09/9.36 ((v119(constB7) | v120(constB7)) | (~v120(constB7))),
% 14.09/9.36 inference(tautology,[status(thm)],[])).
% 14.09/9.36 tff(5710,plain,
% 14.09/9.36 (v119(constB7) | v120(constB7)),
% 14.09/9.36 inference(unit_resolution,[status(thm)],[5709, 5708])).
% 14.09/9.36 tff(5711,plain,
% 14.09/9.36 ((~(v118(constB7) <=> (v119(constB7) | v120(constB7)))) | v118(constB7) | (~(v119(constB7) | v120(constB7)))),
% 14.09/9.36 inference(tautology,[status(thm)],[])).
% 14.09/9.36 tff(5712,plain,
% 14.09/9.36 (v118(constB7)),
% 14.09/9.36 inference(unit_resolution,[status(thm)],[5711, 5710, 4683])).
% 14.09/9.36 tff(5713,plain,
% 14.09/9.36 ((v118(constB7) | v121(constB7)) | (~v118(constB7))),
% 14.09/9.36 inference(tautology,[status(thm)],[])).
% 14.09/9.36 tff(5714,plain,
% 14.09/9.36 (v118(constB7) | v121(constB7)),
% 14.09/9.36 inference(unit_resolution,[status(thm)],[5713, 5712])).
% 14.09/9.36 tff(5715,plain,
% 14.09/9.36 ((~(v117(constB7) <=> (v118(constB7) | v121(constB7)))) | v117(constB7) | (~(v118(constB7) | v121(constB7)))),
% 14.09/9.36 inference(tautology,[status(thm)],[])).
% 14.09/9.36 tff(5716,plain,
% 14.09/9.36 (v117(constB7)),
% 14.09/9.36 inference(unit_resolution,[status(thm)],[5715, 5714, 4681])).
% 14.09/9.36 tff(5717,plain,
% 14.09/9.36 ((v117(constB7) | v122(constB7)) | (~v117(constB7))),
% 14.09/9.36 inference(tautology,[status(thm)],[])).
% 14.09/9.36 tff(5718,plain,
% 14.09/9.36 (v117(constB7) | v122(constB7)),
% 14.09/9.36 inference(unit_resolution,[status(thm)],[5717, 5716])).
% 14.09/9.36 tff(5719,plain,
% 14.09/9.36 ((~(v116(constB7) <=> (v117(constB7) | v122(constB7)))) | v116(constB7) | (~(v117(constB7) | v122(constB7)))),
% 14.09/9.36 inference(tautology,[status(thm)],[])).
% 14.09/9.36 tff(5720,plain,
% 14.09/9.36 (v116(constB7)),
% 14.09/9.36 inference(unit_resolution,[status(thm)],[5719, 5718, 4679])).
% 14.09/9.36 tff(5721,plain,
% 14.09/9.36 ((v116(constB7) | v123(constB7)) | (~v116(constB7))),
% 14.09/9.36 inference(tautology,[status(thm)],[])).
% 14.09/9.36 tff(5722,plain,
% 14.09/9.36 (v116(constB7) | v123(constB7)),
% 14.09/9.36 inference(unit_resolution,[status(thm)],[5721, 5720])).
% 14.09/9.36 tff(5723,plain,
% 14.09/9.36 ((~(v115(constB7) <=> (v116(constB7) | v123(constB7)))) | v115(constB7) | (~(v116(constB7) | v123(constB7)))),
% 14.09/9.36 inference(tautology,[status(thm)],[])).
% 14.09/9.36 tff(5724,plain,
% 14.09/9.36 (v115(constB7)),
% 14.09/9.36 inference(unit_resolution,[status(thm)],[5723, 5722, 4677])).
% 14.09/9.36 tff(5725,plain,
% 14.09/9.36 ((v115(constB7) | v124(constB7)) | (~v115(constB7))),
% 14.09/9.36 inference(tautology,[status(thm)],[])).
% 14.09/9.36 tff(5726,plain,
% 14.09/9.36 (v115(constB7) | v124(constB7)),
% 14.09/9.36 inference(unit_resolution,[status(thm)],[5725, 5724])).
% 14.09/9.36 tff(5727,plain,
% 14.09/9.36 ((~(v114(constB7) <=> (v115(constB7) | v124(constB7)))) | v114(constB7) | (~(v115(constB7) | v124(constB7)))),
% 14.09/9.36 inference(tautology,[status(thm)],[])).
% 14.09/9.36 tff(5728,plain,
% 14.09/9.36 (v114(constB7)),
% 14.09/9.36 inference(unit_resolution,[status(thm)],[5727, 5726, 4675])).
% 14.09/9.36 tff(5729,plain,
% 14.09/9.36 ((v114(constB7) | v125(constB7)) | (~v114(constB7))),
% 14.09/9.36 inference(tautology,[status(thm)],[])).
% 14.09/9.36 tff(5730,plain,
% 14.09/9.36 (v114(constB7) | v125(constB7)),
% 14.09/9.36 inference(unit_resolution,[status(thm)],[5729, 5728])).
% 14.09/9.36 tff(5731,plain,
% 14.09/9.36 ((~(v113(constB7) <=> (v114(constB7) | v125(constB7)))) | v113(constB7) | (~(v114(constB7) | v125(constB7)))),
% 14.09/9.36 inference(tautology,[status(thm)],[])).
% 14.09/9.36 tff(5732,plain,
% 14.09/9.36 (v113(constB7)),
% 14.09/9.36 inference(unit_resolution,[status(thm)],[5731, 5730, 4673])).
% 14.09/9.36 tff(5733,plain,
% 14.09/9.36 ((~![VarCurr: $i] : ((~v126(VarCurr)) <=> v111(VarCurr))) | ((~v126(constB7)) <=> v111(constB7))),
% 14.09/9.36 inference(quant_inst,[status(thm)],[])).
% 14.09/9.36 tff(5734,plain,
% 14.09/9.36 ((~v126(constB7)) <=> v111(constB7)),
% 14.09/9.36 inference(unit_resolution,[status(thm)],[5733, 5074])).
% 14.09/9.36 tff(5735,plain,
% 14.09/9.36 ((~![VarCurr: $i] : (v111(VarCurr) <=> v26(VarCurr))) | (v111(constB7) <=> v26(constB7))),
% 14.09/9.36 inference(quant_inst,[status(thm)],[])).
% 14.09/9.36 tff(5736,plain,
% 14.09/9.36 (v111(constB7) <=> v26(constB7)),
% 14.09/9.36 inference(unit_resolution,[status(thm)],[5735, 5086])).
% 14.09/9.36 tff(5737,plain,
% 14.09/9.36 ((~![VarCurr: $i] : (~v26(VarCurr))) | (~v26(constB7))),
% 14.09/9.36 inference(quant_inst,[status(thm)],[])).
% 14.09/9.36 tff(5738,plain,
% 14.09/9.36 (~v26(constB7)),
% 14.09/9.36 inference(unit_resolution,[status(thm)],[5737, 5098])).
% 14.09/9.36 tff(5739,plain,
% 14.09/9.36 ((~(v111(constB7) <=> v26(constB7))) | (~v111(constB7)) | v26(constB7)),
% 14.09/9.36 inference(tautology,[status(thm)],[])).
% 14.09/9.36 tff(5740,plain,
% 14.09/9.36 ((~(v111(constB7) <=> v26(constB7))) | (~v111(constB7))),
% 14.09/9.36 inference(unit_resolution,[status(thm)],[5739, 5738])).
% 14.09/9.36 tff(5741,plain,
% 14.09/9.36 (~v111(constB7)),
% 14.09/9.36 inference(unit_resolution,[status(thm)],[5740, 5736])).
% 14.09/9.36 tff(5742,plain,
% 14.09/9.36 ((~((~v126(constB7)) <=> v111(constB7))) | v126(constB7) | v111(constB7)),
% 14.09/9.36 inference(tautology,[status(thm)],[])).
% 14.09/9.36 tff(5743,plain,
% 14.09/9.36 ((~((~v126(constB7)) <=> v111(constB7))) | v126(constB7)),
% 14.09/9.36 inference(unit_resolution,[status(thm)],[5742, 5741])).
% 14.09/9.36 tff(5744,plain,
% 14.09/9.36 (v126(constB7)),
% 14.09/9.36 inference(unit_resolution,[status(thm)],[5743, 5734])).
% 14.09/9.36 tff(5745,plain,
% 14.09/9.36 ((~((~v113(constB7)) | (~v126(constB7)))) | (~v113(constB7)) | (~v126(constB7))),
% 14.09/9.36 inference(tautology,[status(thm)],[])).
% 14.09/9.36 tff(5746,plain,
% 14.09/9.36 ((~((~v113(constB7)) | (~v126(constB7)))) | (~v113(constB7))),
% 14.09/9.36 inference(unit_resolution,[status(thm)],[5745, 5744])).
% 14.09/9.36 tff(5747,plain,
% 14.09/9.36 (~((~v113(constB7)) | (~v126(constB7)))),
% 14.09/9.36 inference(unit_resolution,[status(thm)],[5746, 5732])).
% 14.09/9.36 tff(5748,plain,
% 14.09/9.36 ((~(v112(constB7) <=> (~((~v113(constB7)) | (~v126(constB7)))))) | v112(constB7) | ((~v113(constB7)) | (~v126(constB7)))),
% 14.09/9.36 inference(tautology,[status(thm)],[])).
% 14.09/9.36 tff(5749,plain,
% 14.09/9.36 (v112(constB7)),
% 14.09/9.36 inference(unit_resolution,[status(thm)],[5748, 5747, 4671])).
% 14.09/9.36 tff(5750,plain,
% 14.09/9.36 ((v111(constB7) | v112(constB7)) | (~v112(constB7))),
% 14.09/9.36 inference(tautology,[status(thm)],[])).
% 14.09/9.36 tff(5751,plain,
% 14.09/9.36 (v111(constB7) | v112(constB7)),
% 14.09/9.36 inference(unit_resolution,[status(thm)],[5750, 5749])).
% 14.09/9.36 tff(5752,plain,
% 14.09/9.36 ((~(v108(constB7) <=> (v111(constB7) | v112(constB7)))) | v108(constB7) | (~(v111(constB7) | v112(constB7)))),
% 14.09/9.36 inference(tautology,[status(thm)],[])).
% 14.09/9.36 tff(5753,plain,
% 14.09/9.36 (v108(constB7)),
% 14.09/9.36 inference(unit_resolution,[status(thm)],[5752, 5751, 4669])).
% 14.09/9.36 tff(5754,plain,
% 14.09/9.36 ((~(v110(constB8) <=> v108(constB7))) | v110(constB8) | (~v108(constB7))),
% 14.09/9.36 inference(tautology,[status(thm)],[])).
% 14.09/9.36 tff(5755,plain,
% 14.09/9.36 (v110(constB8)),
% 14.09/9.36 inference(unit_resolution,[status(thm)],[5754, 5753, 4667])).
% 14.09/9.36 tff(5756,plain,
% 14.09/9.36 ((~((~v101(constB8)) | (~v110(constB8)))) | (~v101(constB8)) | (~v110(constB8))),
% 14.09/9.36 inference(tautology,[status(thm)],[])).
% 14.09/9.36 tff(5757,plain,
% 14.09/9.36 (~((~v101(constB8)) | (~v110(constB8)))),
% 14.09/9.36 inference(unit_resolution,[status(thm)],[5756, 5755, 4663])).
% 14.09/9.36 tff(5758,plain,
% 14.09/9.36 ((~(v100(constB8) <=> (~((~v101(constB8)) | (~v110(constB8)))))) | v100(constB8) | ((~v101(constB8)) | (~v110(constB8)))),
% 14.09/9.36 inference(tautology,[status(thm)],[])).
% 14.09/9.36 tff(5759,plain,
% 14.09/9.36 (v100(constB8)),
% 14.09/9.36 inference(unit_resolution,[status(thm)],[5758, 5757, 4632])).
% 14.09/9.36 tff(5760,plain,
% 14.09/9.36 (((~![VarNext: $i] : ((~v100(VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v129(VarNext, B))))) | ((~v100(constB8)) | ![B: $i] : ((~less_3(B)) | (v90(constB8, B) <=> v129(constB8, B))))) <=> ((~![VarNext: $i] : ((~v100(VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v129(VarNext, B))))) | (~v100(constB8)) | ![B: $i] : ((~less_3(B)) | (v90(constB8, B) <=> v129(constB8, B))))),
% 14.09/9.36 inference(rewrite,[status(thm)],[])).
% 14.09/9.36 tff(5761,plain,
% 14.09/9.36 ((~![VarNext: $i] : ((~v100(VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v129(VarNext, B))))) | ((~v100(constB8)) | ![B: $i] : ((~less_3(B)) | (v90(constB8, B) <=> v129(constB8, B))))),
% 14.09/9.36 inference(quant_inst,[status(thm)],[])).
% 14.09/9.36 tff(5762,plain,
% 14.09/9.36 ((~![VarNext: $i] : ((~v100(VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v129(VarNext, B))))) | (~v100(constB8)) | ![B: $i] : ((~less_3(B)) | (v90(constB8, B) <=> v129(constB8, B)))),
% 14.09/9.36 inference(modus_ponens,[status(thm)],[5761, 5760])).
% 14.09/9.36 tff(5763,plain,
% 14.09/9.36 ((~v100(constB8)) | ![B: $i] : ((~less_3(B)) | (v90(constB8, B) <=> v129(constB8, B)))),
% 14.09/9.36 inference(unit_resolution,[status(thm)],[5762, 5134])).
% 14.09/9.36 tff(5764,plain,
% 14.09/9.36 (![B: $i] : ((~less_3(B)) | (v90(constB8, B) <=> v129(constB8, B)))),
% 14.09/9.36 inference(unit_resolution,[status(thm)],[5763, 5759])).
% 14.09/9.36 tff(5765,plain,
% 14.09/9.36 (((~![B: $i] : ((~less_3(B)) | (v90(constB8, B) <=> v129(constB8, B)))) | ((~less_3(bitIndex2)) | (v90(constB8, bitIndex2) <=> v129(constB8, bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v90(constB8, B) <=> v129(constB8, B)))) | (~less_3(bitIndex2)) | (v90(constB8, bitIndex2) <=> v129(constB8, bitIndex2)))),
% 14.09/9.36 inference(rewrite,[status(thm)],[])).
% 14.09/9.36 tff(5766,plain,
% 14.09/9.36 ((~![B: $i] : ((~less_3(B)) | (v90(constB8, B) <=> v129(constB8, B)))) | ((~less_3(bitIndex2)) | (v90(constB8, bitIndex2) <=> v129(constB8, bitIndex2)))),
% 14.09/9.36 inference(quant_inst,[status(thm)],[])).
% 14.09/9.36 tff(5767,plain,
% 14.09/9.36 ((~![B: $i] : ((~less_3(B)) | (v90(constB8, B) <=> v129(constB8, B)))) | (~less_3(bitIndex2)) | (v90(constB8, bitIndex2) <=> v129(constB8, bitIndex2))),
% 14.09/9.36 inference(modus_ponens,[status(thm)],[5766, 5765])).
% 14.09/9.36 tff(5768,plain,
% 14.09/9.36 (v90(constB8, bitIndex2) <=> v129(constB8, bitIndex2)),
% 14.09/9.36 inference(unit_resolution,[status(thm)],[5767, 413, 5764])).
% 14.09/9.36 tff(5769,plain,
% 14.09/9.36 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v129(VarNext, B) <=> v127(VarCurr, B))))) | ((~nextState(constB7, constB8)) | ![B: $i] : ((~less_3(B)) | (v129(constB8, B) <=> v127(constB7, B))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v129(VarNext, B) <=> v127(VarCurr, B))))) | (~nextState(constB7, constB8)) | ![B: $i] : ((~less_3(B)) | (v129(constB8, B) <=> v127(constB7, B))))),
% 14.09/9.36 inference(rewrite,[status(thm)],[])).
% 14.09/9.36 tff(5770,plain,
% 14.09/9.36 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v129(VarNext, B) <=> v127(VarCurr, B))))) | ((~nextState(constB7, constB8)) | ![B: $i] : ((~less_3(B)) | (v129(constB8, B) <=> v127(constB7, B))))),
% 14.09/9.36 inference(quant_inst,[status(thm)],[])).
% 14.09/9.36 tff(5771,plain,
% 14.09/9.36 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v129(VarNext, B) <=> v127(VarCurr, B))))) | (~nextState(constB7, constB8)) | ![B: $i] : ((~less_3(B)) | (v129(constB8, B) <=> v127(constB7, B)))),
% 14.09/9.36 inference(modus_ponens,[status(thm)],[5770, 5769])).
% 14.09/9.36 tff(5772,plain,
% 14.09/9.36 (![B: $i] : ((~less_3(B)) | (v129(constB8, B) <=> v127(constB7, B)))),
% 14.09/9.36 inference(unit_resolution,[status(thm)],[5771, 4628, 5156])).
% 14.09/9.36 tff(5773,plain,
% 14.09/9.36 (((~![B: $i] : ((~less_3(B)) | (v129(constB8, B) <=> v127(constB7, B)))) | ((~less_3(bitIndex2)) | (v129(constB8, bitIndex2) <=> v127(constB7, bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v129(constB8, B) <=> v127(constB7, B)))) | (~less_3(bitIndex2)) | (v129(constB8, bitIndex2) <=> v127(constB7, bitIndex2)))),
% 14.09/9.36 inference(rewrite,[status(thm)],[])).
% 14.09/9.36 tff(5774,plain,
% 14.09/9.36 ((~![B: $i] : ((~less_3(B)) | (v129(constB8, B) <=> v127(constB7, B)))) | ((~less_3(bitIndex2)) | (v129(constB8, bitIndex2) <=> v127(constB7, bitIndex2)))),
% 14.09/9.36 inference(quant_inst,[status(thm)],[])).
% 14.09/9.36 tff(5775,plain,
% 14.09/9.36 ((~![B: $i] : ((~less_3(B)) | (v129(constB8, B) <=> v127(constB7, B)))) | (~less_3(bitIndex2)) | (v129(constB8, bitIndex2) <=> v127(constB7, bitIndex2))),
% 14.09/9.36 inference(modus_ponens,[status(thm)],[5774, 5773])).
% 14.09/9.36 tff(5776,plain,
% 14.09/9.36 (v129(constB8, bitIndex2) <=> v127(constB7, bitIndex2)),
% 14.09/9.36 inference(unit_resolution,[status(thm)],[5775, 413, 5772])).
% 14.09/9.36 tff(5777,plain,
% 14.09/9.36 (((~![VarCurr: $i] : (v111(VarCurr) | ![B: $i] : ((~less_3(B)) | (v127(VarCurr, B) <=> v130(VarCurr, B))))) | (v111(constB7) | ![B: $i] : ((~less_3(B)) | (v127(constB7, B) <=> v130(constB7, B))))) <=> ((~![VarCurr: $i] : (v111(VarCurr) | ![B: $i] : ((~less_3(B)) | (v127(VarCurr, B) <=> v130(VarCurr, B))))) | v111(constB7) | ![B: $i] : ((~less_3(B)) | (v127(constB7, B) <=> v130(constB7, B))))),
% 14.09/9.36 inference(rewrite,[status(thm)],[])).
% 14.09/9.36 tff(5778,plain,
% 14.09/9.36 ((~![VarCurr: $i] : (v111(VarCurr) | ![B: $i] : ((~less_3(B)) | (v127(VarCurr, B) <=> v130(VarCurr, B))))) | (v111(constB7) | ![B: $i] : ((~less_3(B)) | (v127(constB7, B) <=> v130(constB7, B))))),
% 14.09/9.36 inference(quant_inst,[status(thm)],[])).
% 14.09/9.36 tff(5779,plain,
% 14.09/9.36 ((~![VarCurr: $i] : (v111(VarCurr) | ![B: $i] : ((~less_3(B)) | (v127(VarCurr, B) <=> v130(VarCurr, B))))) | v111(constB7) | ![B: $i] : ((~less_3(B)) | (v127(constB7, B) <=> v130(constB7, B)))),
% 14.09/9.36 inference(modus_ponens,[status(thm)],[5778, 5777])).
% 14.09/9.36 tff(5780,plain,
% 14.09/9.36 (![B: $i] : ((~less_3(B)) | (v127(constB7, B) <=> v130(constB7, B)))),
% 14.09/9.36 inference(unit_resolution,[status(thm)],[5779, 5177, 5741])).
% 14.09/9.36 tff(5781,plain,
% 14.09/9.36 (((~![B: $i] : ((~less_3(B)) | (v127(constB7, B) <=> v130(constB7, B)))) | ((~less_3(bitIndex2)) | (v127(constB7, bitIndex2) <=> v130(constB7, bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v127(constB7, B) <=> v130(constB7, B)))) | (~less_3(bitIndex2)) | (v127(constB7, bitIndex2) <=> v130(constB7, bitIndex2)))),
% 14.09/9.36 inference(rewrite,[status(thm)],[])).
% 14.09/9.36 tff(5782,plain,
% 14.09/9.36 ((~![B: $i] : ((~less_3(B)) | (v127(constB7, B) <=> v130(constB7, B)))) | ((~less_3(bitIndex2)) | (v127(constB7, bitIndex2) <=> v130(constB7, bitIndex2)))),
% 14.09/9.36 inference(quant_inst,[status(thm)],[])).
% 14.09/9.36 tff(5783,plain,
% 14.09/9.36 ((~![B: $i] : ((~less_3(B)) | (v127(constB7, B) <=> v130(constB7, B)))) | (~less_3(bitIndex2)) | (v127(constB7, bitIndex2) <=> v130(constB7, bitIndex2))),
% 14.09/9.36 inference(modus_ponens,[status(thm)],[5782, 5781])).
% 14.09/9.36 tff(5784,plain,
% 14.09/9.36 (v127(constB7, bitIndex2) <=> v130(constB7, bitIndex2)),
% 14.09/9.36 inference(unit_resolution,[status(thm)],[5783, 413, 5780])).
% 14.09/9.36 tff(5785,plain,
% 14.09/9.36 (^[VarCurr: $i] : refl(((~v120(VarCurr)) | ![B: $i] : ((~less_3(B)) | (v130(VarCurr, B) <=> b010(B)))) <=> ((~v120(VarCurr)) | ![B: $i] : ((~less_3(B)) | (v130(VarCurr, B) <=> b010(B)))))),
% 14.09/9.36 inference(bind,[status(th)],[])).
% 14.09/9.36 tff(5786,plain,
% 14.09/9.36 (![VarCurr: $i] : ((~v120(VarCurr)) | ![B: $i] : ((~less_3(B)) | (v130(VarCurr, B) <=> b010(B)))) <=> ![VarCurr: $i] : ((~v120(VarCurr)) | ![B: $i] : ((~less_3(B)) | (v130(VarCurr, B) <=> b010(B))))),
% 14.09/9.36 inference(quant_intro,[status(thm)],[5785])).
% 14.09/9.36 tff(5787,plain,
% 14.09/9.36 (^[VarCurr: $i] : rewrite(((~v120(VarCurr)) | ![B: $i] : ((~less_3(B)) | (v130(VarCurr, B) <=> b010(B)))) <=> ((~v120(VarCurr)) | ![B: $i] : ((~less_3(B)) | (v130(VarCurr, B) <=> b010(B)))))),
% 14.09/9.36 inference(bind,[status(th)],[])).
% 14.09/9.36 tff(5788,plain,
% 14.09/9.36 (![VarCurr: $i] : ((~v120(VarCurr)) | ![B: $i] : ((~less_3(B)) | (v130(VarCurr, B) <=> b010(B)))) <=> ![VarCurr: $i] : ((~v120(VarCurr)) | ![B: $i] : ((~less_3(B)) | (v130(VarCurr, B) <=> b010(B))))),
% 14.09/9.36 inference(quant_intro,[status(thm)],[5787])).
% 14.09/9.36 tff(5789,plain,
% 14.09/9.36 (![VarCurr: $i] : ((~v120(VarCurr)) | ![B: $i] : ((~less_3(B)) | (v130(VarCurr, B) <=> b010(B)))) <=> ![VarCurr: $i] : ((~v120(VarCurr)) | ![B: $i] : ((~less_3(B)) | (v130(VarCurr, B) <=> b010(B))))),
% 14.09/9.36 inference(transitivity,[status(thm)],[5788, 5786])).
% 14.09/9.36 tff(5790,plain,
% 14.09/9.36 (![VarCurr: $i] : ((~v120(VarCurr)) | ![B: $i] : ((~less_3(B)) | (v130(VarCurr, B) <=> b010(B)))) <=> ![VarCurr: $i] : ((~v120(VarCurr)) | ![B: $i] : ((~less_3(B)) | (v130(VarCurr, B) <=> b010(B))))),
% 14.09/9.36 inference(rewrite,[status(thm)],[])).
% 14.09/9.36 tff(5791,plain,
% 14.09/9.36 (^[VarCurr: $i] : trans(monotonicity(quant_intro(proof_bind(^[B: $i] : rewrite((less_3(B) => (v130(VarCurr, B) <=> b010(B))) <=> ((~less_3(B)) | (v130(VarCurr, B) <=> b010(B))))), (![B: $i] : (less_3(B) => (v130(VarCurr, B) <=> b010(B))) <=> ![B: $i] : ((~less_3(B)) | (v130(VarCurr, B) <=> b010(B))))), ((v120(VarCurr) => ![B: $i] : (less_3(B) => (v130(VarCurr, B) <=> b010(B)))) <=> (v120(VarCurr) => ![B: $i] : ((~less_3(B)) | (v130(VarCurr, B) <=> b010(B)))))), rewrite((v120(VarCurr) => ![B: $i] : ((~less_3(B)) | (v130(VarCurr, B) <=> b010(B)))) <=> ((~v120(VarCurr)) | ![B: $i] : ((~less_3(B)) | (v130(VarCurr, B) <=> b010(B))))), ((v120(VarCurr) => ![B: $i] : (less_3(B) => (v130(VarCurr, B) <=> b010(B)))) <=> ((~v120(VarCurr)) | ![B: $i] : ((~less_3(B)) | (v130(VarCurr, B) <=> b010(B))))))),
% 14.09/9.36 inference(bind,[status(th)],[])).
% 14.09/9.36 tff(5792,plain,
% 14.09/9.36 (![VarCurr: $i] : (v120(VarCurr) => ![B: $i] : (less_3(B) => (v130(VarCurr, B) <=> b010(B)))) <=> ![VarCurr: $i] : ((~v120(VarCurr)) | ![B: $i] : ((~less_3(B)) | (v130(VarCurr, B) <=> b010(B))))),
% 14.09/9.36 inference(quant_intro,[status(thm)],[5791])).
% 14.09/9.36 tff(5793,axiom,(![VarCurr: $i] : (v120(VarCurr) => ![B: $i] : (less_3(B) => (v130(VarCurr, B) <=> b010(B))))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','addParallelCaseBooleanConditionEqualRanges1')).
% 14.09/9.36 tff(5794,plain,
% 14.09/9.36 (![VarCurr: $i] : ((~v120(VarCurr)) | ![B: $i] : ((~less_3(B)) | (v130(VarCurr, B) <=> b010(B))))),
% 14.09/9.36 inference(modus_ponens,[status(thm)],[5793, 5792])).
% 14.09/9.36 tff(5795,plain,
% 14.09/9.36 (![VarCurr: $i] : ((~v120(VarCurr)) | ![B: $i] : ((~less_3(B)) | (v130(VarCurr, B) <=> b010(B))))),
% 14.09/9.36 inference(modus_ponens,[status(thm)],[5794, 5790])).
% 14.09/9.36 tff(5796,plain,(
% 14.09/9.36 ![VarCurr: $i] : ((~v120(VarCurr)) | ![B: $i] : ((~less_3(B)) | (v130(VarCurr, B) <=> b010(B))))),
% 14.09/9.36 inference(skolemize,[status(sab)],[5795])).
% 14.09/9.36 tff(5797,plain,
% 14.09/9.36 (![VarCurr: $i] : ((~v120(VarCurr)) | ![B: $i] : ((~less_3(B)) | (v130(VarCurr, B) <=> b010(B))))),
% 14.09/9.36 inference(modus_ponens,[status(thm)],[5796, 5789])).
% 14.09/9.36 tff(5798,plain,
% 14.09/9.36 (((~![VarCurr: $i] : ((~v120(VarCurr)) | ![B: $i] : ((~less_3(B)) | (v130(VarCurr, B) <=> b010(B))))) | ((~v120(constB7)) | ![B: $i] : ((~less_3(B)) | (v130(constB7, B) <=> b010(B))))) <=> ((~![VarCurr: $i] : ((~v120(VarCurr)) | ![B: $i] : ((~less_3(B)) | (v130(VarCurr, B) <=> b010(B))))) | (~v120(constB7)) | ![B: $i] : ((~less_3(B)) | (v130(constB7, B) <=> b010(B))))),
% 14.09/9.36 inference(rewrite,[status(thm)],[])).
% 14.09/9.36 tff(5799,plain,
% 14.09/9.36 ((~![VarCurr: $i] : ((~v120(VarCurr)) | ![B: $i] : ((~less_3(B)) | (v130(VarCurr, B) <=> b010(B))))) | ((~v120(constB7)) | ![B: $i] : ((~less_3(B)) | (v130(constB7, B) <=> b010(B))))),
% 14.09/9.36 inference(quant_inst,[status(thm)],[])).
% 14.09/9.36 tff(5800,plain,
% 14.09/9.36 ((~![VarCurr: $i] : ((~v120(VarCurr)) | ![B: $i] : ((~less_3(B)) | (v130(VarCurr, B) <=> b010(B))))) | (~v120(constB7)) | ![B: $i] : ((~less_3(B)) | (v130(constB7, B) <=> b010(B)))),
% 14.09/9.36 inference(modus_ponens,[status(thm)],[5799, 5798])).
% 14.09/9.36 tff(5801,plain,
% 14.09/9.36 ((~v120(constB7)) | ![B: $i] : ((~less_3(B)) | (v130(constB7, B) <=> b010(B)))),
% 14.09/9.36 inference(unit_resolution,[status(thm)],[5800, 5797])).
% 14.09/9.36 tff(5802,plain,
% 14.09/9.36 (![B: $i] : ((~less_3(B)) | (v130(constB7, B) <=> b010(B)))),
% 14.09/9.36 inference(unit_resolution,[status(thm)],[5801, 5708])).
% 14.09/9.36 tff(5803,plain,
% 14.09/9.36 (((~![B: $i] : ((~less_3(B)) | (v130(constB7, B) <=> b010(B)))) | ((~less_3(bitIndex2)) | (v130(constB7, bitIndex2) <=> b010(bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v130(constB7, B) <=> b010(B)))) | (~less_3(bitIndex2)) | (v130(constB7, bitIndex2) <=> b010(bitIndex2)))),
% 14.09/9.36 inference(rewrite,[status(thm)],[])).
% 14.09/9.36 tff(5804,plain,
% 14.09/9.36 ((~![B: $i] : ((~less_3(B)) | (v130(constB7, B) <=> b010(B)))) | ((~less_3(bitIndex2)) | (v130(constB7, bitIndex2) <=> b010(bitIndex2)))),
% 14.09/9.36 inference(quant_inst,[status(thm)],[])).
% 14.09/9.36 tff(5805,plain,
% 14.09/9.36 ((~![B: $i] : ((~less_3(B)) | (v130(constB7, B) <=> b010(B)))) | (~less_3(bitIndex2)) | (v130(constB7, bitIndex2) <=> b010(bitIndex2))),
% 14.09/9.36 inference(modus_ponens,[status(thm)],[5804, 5803])).
% 14.09/9.36 tff(5806,plain,
% 14.09/9.36 (v130(constB7, bitIndex2) <=> b010(bitIndex2)),
% 14.09/9.36 inference(unit_resolution,[status(thm)],[5805, 413, 5802])).
% 14.09/9.36 tff(5807,plain,
% 14.09/9.36 ((~b010(bitIndex2)) <=> (~b010(bitIndex2))),
% 14.09/9.36 inference(rewrite,[status(thm)],[])).
% 14.09/9.36 tff(5808,axiom,(~b010(bitIndex2)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bitBlastConstant_8')).
% 14.09/9.36 tff(5809,plain,
% 14.09/9.36 (~b010(bitIndex2)),
% 14.09/9.36 inference(modus_ponens,[status(thm)],[5808, 5807])).
% 14.09/9.36 tff(5810,plain,
% 14.09/9.36 ((~(v130(constB7, bitIndex2) <=> b010(bitIndex2))) | (~v130(constB7, bitIndex2)) | b010(bitIndex2)),
% 14.09/9.36 inference(tautology,[status(thm)],[])).
% 14.09/9.36 tff(5811,plain,
% 14.09/9.36 ((~(v130(constB7, bitIndex2) <=> b010(bitIndex2))) | (~v130(constB7, bitIndex2))),
% 14.09/9.36 inference(unit_resolution,[status(thm)],[5810, 5809])).
% 14.09/9.36 tff(5812,plain,
% 14.09/9.36 (~v130(constB7, bitIndex2)),
% 14.09/9.36 inference(unit_resolution,[status(thm)],[5811, 5806])).
% 14.09/9.36 tff(5813,plain,
% 14.09/9.36 ((~(v127(constB7, bitIndex2) <=> v130(constB7, bitIndex2))) | (~v127(constB7, bitIndex2)) | v130(constB7, bitIndex2)),
% 14.09/9.36 inference(tautology,[status(thm)],[])).
% 14.09/9.36 tff(5814,plain,
% 14.09/9.36 (~v127(constB7, bitIndex2)),
% 14.09/9.36 inference(unit_resolution,[status(thm)],[5813, 5812, 5784])).
% 14.09/9.36 tff(5815,plain,
% 14.09/9.36 ((~(v129(constB8, bitIndex2) <=> v127(constB7, bitIndex2))) | (~v129(constB8, bitIndex2)) | v127(constB7, bitIndex2)),
% 14.09/9.36 inference(tautology,[status(thm)],[])).
% 14.09/9.36 tff(5816,plain,
% 14.09/9.36 (~v129(constB8, bitIndex2)),
% 14.09/9.36 inference(unit_resolution,[status(thm)],[5815, 5814, 5776])).
% 14.09/9.36 tff(5817,plain,
% 14.09/9.36 ((~(v90(constB8, bitIndex2) <=> v129(constB8, bitIndex2))) | (~v90(constB8, bitIndex2)) | v129(constB8, bitIndex2)),
% 14.09/9.36 inference(tautology,[status(thm)],[])).
% 14.09/9.36 tff(5818,plain,
% 14.09/9.36 (~v90(constB8, bitIndex2)),
% 14.09/9.36 inference(unit_resolution,[status(thm)],[5817, 5816, 5768])).
% 14.09/9.36 tff(5819,plain,
% 14.09/9.36 ((~(v90(constB9, bitIndex2) <=> v90(constB8, bitIndex2))) | (~v90(constB9, bitIndex2)) | v90(constB8, bitIndex2)),
% 14.09/9.36 inference(tautology,[status(thm)],[])).
% 14.09/9.36 tff(5820,plain,
% 14.09/9.36 (~v90(constB9, bitIndex2)),
% 14.09/9.36 inference(unit_resolution,[status(thm)],[5819, 5818, 4625])).
% 14.09/9.36 tff(5821,plain,
% 14.09/9.36 (((~![B: $i] : ((~less_3(B)) | (v90(constB9, B) <=> v90(constB8, B)))) | ((~less_3(bitIndex0)) | (v90(constB9, bitIndex0) <=> v90(constB8, bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v90(constB9, B) <=> v90(constB8, B)))) | (~less_3(bitIndex0)) | (v90(constB9, bitIndex0) <=> v90(constB8, bitIndex0)))),
% 14.09/9.36 inference(rewrite,[status(thm)],[])).
% 14.09/9.36 tff(5822,plain,
% 14.09/9.36 ((~![B: $i] : ((~less_3(B)) | (v90(constB9, B) <=> v90(constB8, B)))) | ((~less_3(bitIndex0)) | (v90(constB9, bitIndex0) <=> v90(constB8, bitIndex0)))),
% 14.09/9.36 inference(quant_inst,[status(thm)],[])).
% 14.09/9.36 tff(5823,plain,
% 14.09/9.36 ((~![B: $i] : ((~less_3(B)) | (v90(constB9, B) <=> v90(constB8, B)))) | (~less_3(bitIndex0)) | (v90(constB9, bitIndex0) <=> v90(constB8, bitIndex0))),
% 14.09/9.36 inference(modus_ponens,[status(thm)],[5822, 5821])).
% 14.09/9.36 tff(5824,plain,
% 14.09/9.36 (v90(constB9, bitIndex0) <=> v90(constB8, bitIndex0)),
% 14.09/9.36 inference(unit_resolution,[status(thm)],[5823, 5004, 4621])).
% 14.09/9.36 tff(5825,plain,
% 14.09/9.36 (((~![B: $i] : ((~less_3(B)) | (v90(constB8, B) <=> v129(constB8, B)))) | ((~less_3(bitIndex0)) | (v90(constB8, bitIndex0) <=> v129(constB8, bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v90(constB8, B) <=> v129(constB8, B)))) | (~less_3(bitIndex0)) | (v90(constB8, bitIndex0) <=> v129(constB8, bitIndex0)))),
% 14.09/9.36 inference(rewrite,[status(thm)],[])).
% 14.09/9.36 tff(5826,plain,
% 14.09/9.36 ((~![B: $i] : ((~less_3(B)) | (v90(constB8, B) <=> v129(constB8, B)))) | ((~less_3(bitIndex0)) | (v90(constB8, bitIndex0) <=> v129(constB8, bitIndex0)))),
% 14.09/9.36 inference(quant_inst,[status(thm)],[])).
% 14.09/9.36 tff(5827,plain,
% 14.09/9.36 ((~![B: $i] : ((~less_3(B)) | (v90(constB8, B) <=> v129(constB8, B)))) | (~less_3(bitIndex0)) | (v90(constB8, bitIndex0) <=> v129(constB8, bitIndex0))),
% 14.09/9.36 inference(modus_ponens,[status(thm)],[5826, 5825])).
% 14.09/9.36 tff(5828,plain,
% 14.09/9.36 (v90(constB8, bitIndex0) <=> v129(constB8, bitIndex0)),
% 14.09/9.36 inference(unit_resolution,[status(thm)],[5827, 5004, 5764])).
% 14.09/9.36 tff(5829,plain,
% 14.09/9.36 (((~![B: $i] : ((~less_3(B)) | (v129(constB8, B) <=> v127(constB7, B)))) | ((~less_3(bitIndex0)) | (v129(constB8, bitIndex0) <=> v127(constB7, bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v129(constB8, B) <=> v127(constB7, B)))) | (~less_3(bitIndex0)) | (v129(constB8, bitIndex0) <=> v127(constB7, bitIndex0)))),
% 14.09/9.36 inference(rewrite,[status(thm)],[])).
% 14.09/9.36 tff(5830,plain,
% 14.09/9.36 ((~![B: $i] : ((~less_3(B)) | (v129(constB8, B) <=> v127(constB7, B)))) | ((~less_3(bitIndex0)) | (v129(constB8, bitIndex0) <=> v127(constB7, bitIndex0)))),
% 14.09/9.36 inference(quant_inst,[status(thm)],[])).
% 14.09/9.36 tff(5831,plain,
% 14.09/9.36 ((~![B: $i] : ((~less_3(B)) | (v129(constB8, B) <=> v127(constB7, B)))) | (~less_3(bitIndex0)) | (v129(constB8, bitIndex0) <=> v127(constB7, bitIndex0))),
% 14.09/9.36 inference(modus_ponens,[status(thm)],[5830, 5829])).
% 14.09/9.36 tff(5832,plain,
% 14.09/9.36 (v129(constB8, bitIndex0) <=> v127(constB7, bitIndex0)),
% 14.09/9.36 inference(unit_resolution,[status(thm)],[5831, 5004, 5772])).
% 14.09/9.36 tff(5833,plain,
% 14.09/9.36 (((~![B: $i] : ((~less_3(B)) | (v127(constB7, B) <=> v130(constB7, B)))) | ((~less_3(bitIndex0)) | (v127(constB7, bitIndex0) <=> v130(constB7, bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v127(constB7, B) <=> v130(constB7, B)))) | (~less_3(bitIndex0)) | (v127(constB7, bitIndex0) <=> v130(constB7, bitIndex0)))),
% 14.09/9.36 inference(rewrite,[status(thm)],[])).
% 14.09/9.36 tff(5834,plain,
% 14.09/9.36 ((~![B: $i] : ((~less_3(B)) | (v127(constB7, B) <=> v130(constB7, B)))) | ((~less_3(bitIndex0)) | (v127(constB7, bitIndex0) <=> v130(constB7, bitIndex0)))),
% 14.09/9.36 inference(quant_inst,[status(thm)],[])).
% 14.09/9.36 tff(5835,plain,
% 14.09/9.36 ((~![B: $i] : ((~less_3(B)) | (v127(constB7, B) <=> v130(constB7, B)))) | (~less_3(bitIndex0)) | (v127(constB7, bitIndex0) <=> v130(constB7, bitIndex0))),
% 14.09/9.36 inference(modus_ponens,[status(thm)],[5834, 5833])).
% 14.09/9.36 tff(5836,plain,
% 14.09/9.36 (v127(constB7, bitIndex0) <=> v130(constB7, bitIndex0)),
% 14.09/9.36 inference(unit_resolution,[status(thm)],[5835, 5004, 5780])).
% 14.09/9.36 tff(5837,plain,
% 14.09/9.36 (((~![B: $i] : ((~less_3(B)) | (v130(constB7, B) <=> b010(B)))) | ((~less_3(bitIndex0)) | (v130(constB7, bitIndex0) <=> b010(bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v130(constB7, B) <=> b010(B)))) | (~less_3(bitIndex0)) | (v130(constB7, bitIndex0) <=> b010(bitIndex0)))),
% 14.09/9.37 inference(rewrite,[status(thm)],[])).
% 14.09/9.37 tff(5838,plain,
% 14.09/9.37 ((~![B: $i] : ((~less_3(B)) | (v130(constB7, B) <=> b010(B)))) | ((~less_3(bitIndex0)) | (v130(constB7, bitIndex0) <=> b010(bitIndex0)))),
% 14.09/9.37 inference(quant_inst,[status(thm)],[])).
% 14.09/9.37 tff(5839,plain,
% 14.09/9.37 ((~![B: $i] : ((~less_3(B)) | (v130(constB7, B) <=> b010(B)))) | (~less_3(bitIndex0)) | (v130(constB7, bitIndex0) <=> b010(bitIndex0))),
% 14.09/9.37 inference(modus_ponens,[status(thm)],[5838, 5837])).
% 14.09/9.37 tff(5840,plain,
% 14.09/9.37 (v130(constB7, bitIndex0) <=> b010(bitIndex0)),
% 14.09/9.37 inference(unit_resolution,[status(thm)],[5839, 5004, 5802])).
% 14.09/9.37 tff(5841,plain,
% 14.09/9.37 ((~b010(bitIndex0)) <=> (~b010(bitIndex0))),
% 14.09/9.37 inference(rewrite,[status(thm)],[])).
% 14.09/9.37 tff(5842,axiom,(~b010(bitIndex0)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bitBlastConstant_6')).
% 14.09/9.37 tff(5843,plain,
% 14.09/9.37 (~b010(bitIndex0)),
% 14.09/9.37 inference(modus_ponens,[status(thm)],[5842, 5841])).
% 14.09/9.37 tff(5844,plain,
% 14.09/9.37 ((~(v130(constB7, bitIndex0) <=> b010(bitIndex0))) | (~v130(constB7, bitIndex0)) | b010(bitIndex0)),
% 14.09/9.37 inference(tautology,[status(thm)],[])).
% 14.09/9.37 tff(5845,plain,
% 14.09/9.37 ((~(v130(constB7, bitIndex0) <=> b010(bitIndex0))) | (~v130(constB7, bitIndex0))),
% 14.09/9.37 inference(unit_resolution,[status(thm)],[5844, 5843])).
% 14.09/9.37 tff(5846,plain,
% 14.09/9.37 (~v130(constB7, bitIndex0)),
% 14.09/9.37 inference(unit_resolution,[status(thm)],[5845, 5840])).
% 14.09/9.37 tff(5847,plain,
% 14.09/9.37 ((~(v127(constB7, bitIndex0) <=> v130(constB7, bitIndex0))) | (~v127(constB7, bitIndex0)) | v130(constB7, bitIndex0)),
% 14.09/9.37 inference(tautology,[status(thm)],[])).
% 14.09/9.37 tff(5848,plain,
% 14.09/9.37 (~v127(constB7, bitIndex0)),
% 14.09/9.37 inference(unit_resolution,[status(thm)],[5847, 5846, 5836])).
% 14.09/9.37 tff(5849,plain,
% 14.09/9.37 ((~(v129(constB8, bitIndex0) <=> v127(constB7, bitIndex0))) | (~v129(constB8, bitIndex0)) | v127(constB7, bitIndex0)),
% 14.09/9.37 inference(tautology,[status(thm)],[])).
% 14.09/9.37 tff(5850,plain,
% 14.09/9.37 (~v129(constB8, bitIndex0)),
% 14.09/9.37 inference(unit_resolution,[status(thm)],[5849, 5848, 5832])).
% 14.09/9.37 tff(5851,plain,
% 14.09/9.37 ((~(v90(constB8, bitIndex0) <=> v129(constB8, bitIndex0))) | (~v90(constB8, bitIndex0)) | v129(constB8, bitIndex0)),
% 14.09/9.37 inference(tautology,[status(thm)],[])).
% 14.09/9.37 tff(5852,plain,
% 14.09/9.37 (~v90(constB8, bitIndex0)),
% 14.09/9.37 inference(unit_resolution,[status(thm)],[5851, 5850, 5828])).
% 14.09/9.37 tff(5853,plain,
% 14.09/9.37 ((~(v90(constB9, bitIndex0) <=> v90(constB8, bitIndex0))) | (~v90(constB9, bitIndex0)) | v90(constB8, bitIndex0)),
% 14.09/9.37 inference(tautology,[status(thm)],[])).
% 14.09/9.37 tff(5854,plain,
% 14.09/9.37 (~v90(constB9, bitIndex0)),
% 14.09/9.37 inference(unit_resolution,[status(thm)],[5853, 5852, 5824])).
% 14.09/9.37 tff(5855,plain,
% 14.09/9.37 (((~![B: $i] : ((~less_3(B)) | (v90(constB9, B) <=> v90(constB8, B)))) | ((~less_3(bitIndex1)) | (v90(constB9, bitIndex1) <=> v90(constB8, bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v90(constB9, B) <=> v90(constB8, B)))) | (~less_3(bitIndex1)) | (v90(constB9, bitIndex1) <=> v90(constB8, bitIndex1)))),
% 14.09/9.37 inference(rewrite,[status(thm)],[])).
% 14.09/9.37 tff(5856,plain,
% 14.09/9.37 ((~![B: $i] : ((~less_3(B)) | (v90(constB9, B) <=> v90(constB8, B)))) | ((~less_3(bitIndex1)) | (v90(constB9, bitIndex1) <=> v90(constB8, bitIndex1)))),
% 14.09/9.37 inference(quant_inst,[status(thm)],[])).
% 14.09/9.37 tff(5857,plain,
% 14.09/9.37 ((~![B: $i] : ((~less_3(B)) | (v90(constB9, B) <=> v90(constB8, B)))) | (~less_3(bitIndex1)) | (v90(constB9, bitIndex1) <=> v90(constB8, bitIndex1))),
% 14.09/9.37 inference(modus_ponens,[status(thm)],[5856, 5855])).
% 14.09/9.37 tff(5858,plain,
% 14.09/9.37 (v90(constB9, bitIndex1) <=> v90(constB8, bitIndex1)),
% 14.09/9.37 inference(unit_resolution,[status(thm)],[5857, 5017, 4621])).
% 14.09/9.37 tff(5859,plain,
% 14.09/9.37 (((~![B: $i] : ((~less_3(B)) | (v90(constB8, B) <=> v129(constB8, B)))) | ((~less_3(bitIndex1)) | (v90(constB8, bitIndex1) <=> v129(constB8, bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v90(constB8, B) <=> v129(constB8, B)))) | (~less_3(bitIndex1)) | (v90(constB8, bitIndex1) <=> v129(constB8, bitIndex1)))),
% 14.09/9.37 inference(rewrite,[status(thm)],[])).
% 14.09/9.37 tff(5860,plain,
% 14.09/9.37 ((~![B: $i] : ((~less_3(B)) | (v90(constB8, B) <=> v129(constB8, B)))) | ((~less_3(bitIndex1)) | (v90(constB8, bitIndex1) <=> v129(constB8, bitIndex1)))),
% 14.09/9.37 inference(quant_inst,[status(thm)],[])).
% 14.09/9.37 tff(5861,plain,
% 14.09/9.37 ((~![B: $i] : ((~less_3(B)) | (v90(constB8, B) <=> v129(constB8, B)))) | (~less_3(bitIndex1)) | (v90(constB8, bitIndex1) <=> v129(constB8, bitIndex1))),
% 14.09/9.37 inference(modus_ponens,[status(thm)],[5860, 5859])).
% 14.09/9.37 tff(5862,plain,
% 14.09/9.37 (v90(constB8, bitIndex1) <=> v129(constB8, bitIndex1)),
% 14.09/9.37 inference(unit_resolution,[status(thm)],[5861, 5017, 5764])).
% 14.09/9.37 tff(5863,plain,
% 14.09/9.37 (((~![B: $i] : ((~less_3(B)) | (v129(constB8, B) <=> v127(constB7, B)))) | ((~less_3(bitIndex1)) | (v129(constB8, bitIndex1) <=> v127(constB7, bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v129(constB8, B) <=> v127(constB7, B)))) | (~less_3(bitIndex1)) | (v129(constB8, bitIndex1) <=> v127(constB7, bitIndex1)))),
% 14.09/9.37 inference(rewrite,[status(thm)],[])).
% 14.09/9.37 tff(5864,plain,
% 14.09/9.37 ((~![B: $i] : ((~less_3(B)) | (v129(constB8, B) <=> v127(constB7, B)))) | ((~less_3(bitIndex1)) | (v129(constB8, bitIndex1) <=> v127(constB7, bitIndex1)))),
% 14.09/9.37 inference(quant_inst,[status(thm)],[])).
% 14.09/9.37 tff(5865,plain,
% 14.09/9.37 ((~![B: $i] : ((~less_3(B)) | (v129(constB8, B) <=> v127(constB7, B)))) | (~less_3(bitIndex1)) | (v129(constB8, bitIndex1) <=> v127(constB7, bitIndex1))),
% 14.09/9.37 inference(modus_ponens,[status(thm)],[5864, 5863])).
% 14.09/9.37 tff(5866,plain,
% 14.09/9.37 (v129(constB8, bitIndex1) <=> v127(constB7, bitIndex1)),
% 14.09/9.37 inference(unit_resolution,[status(thm)],[5865, 5017, 5772])).
% 14.09/9.37 tff(5867,plain,
% 14.09/9.37 (((~![B: $i] : ((~less_3(B)) | (v127(constB7, B) <=> v130(constB7, B)))) | ((~less_3(bitIndex1)) | (v127(constB7, bitIndex1) <=> v130(constB7, bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v127(constB7, B) <=> v130(constB7, B)))) | (~less_3(bitIndex1)) | (v127(constB7, bitIndex1) <=> v130(constB7, bitIndex1)))),
% 14.09/9.37 inference(rewrite,[status(thm)],[])).
% 14.09/9.37 tff(5868,plain,
% 14.09/9.37 ((~![B: $i] : ((~less_3(B)) | (v127(constB7, B) <=> v130(constB7, B)))) | ((~less_3(bitIndex1)) | (v127(constB7, bitIndex1) <=> v130(constB7, bitIndex1)))),
% 14.09/9.37 inference(quant_inst,[status(thm)],[])).
% 14.09/9.37 tff(5869,plain,
% 14.09/9.37 ((~![B: $i] : ((~less_3(B)) | (v127(constB7, B) <=> v130(constB7, B)))) | (~less_3(bitIndex1)) | (v127(constB7, bitIndex1) <=> v130(constB7, bitIndex1))),
% 14.09/9.37 inference(modus_ponens,[status(thm)],[5868, 5867])).
% 14.09/9.37 tff(5870,plain,
% 14.09/9.37 (v127(constB7, bitIndex1) <=> v130(constB7, bitIndex1)),
% 14.09/9.37 inference(unit_resolution,[status(thm)],[5869, 5017, 5780])).
% 14.09/9.37 tff(5871,plain,
% 14.09/9.37 (((~![B: $i] : ((~less_3(B)) | (v130(constB7, B) <=> b010(B)))) | ((~less_3(bitIndex1)) | (v130(constB7, bitIndex1) <=> b010(bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v130(constB7, B) <=> b010(B)))) | (~less_3(bitIndex1)) | (v130(constB7, bitIndex1) <=> b010(bitIndex1)))),
% 14.09/9.37 inference(rewrite,[status(thm)],[])).
% 14.09/9.37 tff(5872,plain,
% 14.09/9.37 ((~![B: $i] : ((~less_3(B)) | (v130(constB7, B) <=> b010(B)))) | ((~less_3(bitIndex1)) | (v130(constB7, bitIndex1) <=> b010(bitIndex1)))),
% 14.09/9.37 inference(quant_inst,[status(thm)],[])).
% 14.09/9.37 tff(5873,plain,
% 14.09/9.37 ((~![B: $i] : ((~less_3(B)) | (v130(constB7, B) <=> b010(B)))) | (~less_3(bitIndex1)) | (v130(constB7, bitIndex1) <=> b010(bitIndex1))),
% 14.09/9.37 inference(modus_ponens,[status(thm)],[5872, 5871])).
% 14.09/9.37 tff(5874,plain,
% 14.09/9.37 (v130(constB7, bitIndex1) <=> b010(bitIndex1)),
% 14.09/9.37 inference(unit_resolution,[status(thm)],[5873, 5017, 5802])).
% 14.09/9.37 tff(5875,plain,
% 14.09/9.37 (b010(bitIndex1) <=> b010(bitIndex1)),
% 14.09/9.37 inference(rewrite,[status(thm)],[])).
% 14.09/9.37 tff(5876,axiom,(b010(bitIndex1)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bitBlastConstant_7')).
% 14.09/9.37 tff(5877,plain,
% 14.09/9.37 (b010(bitIndex1)),
% 14.09/9.37 inference(modus_ponens,[status(thm)],[5876, 5875])).
% 14.09/9.37 tff(5878,plain,
% 14.09/9.37 ((~(v130(constB7, bitIndex1) <=> b010(bitIndex1))) | v130(constB7, bitIndex1) | (~b010(bitIndex1))),
% 14.09/9.37 inference(tautology,[status(thm)],[])).
% 14.09/9.37 tff(5879,plain,
% 14.09/9.37 ((~(v130(constB7, bitIndex1) <=> b010(bitIndex1))) | v130(constB7, bitIndex1)),
% 14.09/9.37 inference(unit_resolution,[status(thm)],[5878, 5877])).
% 14.09/9.37 tff(5880,plain,
% 14.09/9.37 (v130(constB7, bitIndex1)),
% 14.09/9.37 inference(unit_resolution,[status(thm)],[5879, 5874])).
% 14.09/9.37 tff(5881,plain,
% 14.09/9.37 ((~(v127(constB7, bitIndex1) <=> v130(constB7, bitIndex1))) | v127(constB7, bitIndex1) | (~v130(constB7, bitIndex1))),
% 14.09/9.37 inference(tautology,[status(thm)],[])).
% 14.09/9.37 tff(5882,plain,
% 14.09/9.37 (v127(constB7, bitIndex1)),
% 14.09/9.37 inference(unit_resolution,[status(thm)],[5881, 5880, 5870])).
% 14.09/9.37 tff(5883,plain,
% 14.09/9.37 ((~(v129(constB8, bitIndex1) <=> v127(constB7, bitIndex1))) | v129(constB8, bitIndex1) | (~v127(constB7, bitIndex1))),
% 14.09/9.37 inference(tautology,[status(thm)],[])).
% 14.09/9.37 tff(5884,plain,
% 14.09/9.37 (v129(constB8, bitIndex1)),
% 14.09/9.37 inference(unit_resolution,[status(thm)],[5883, 5882, 5866])).
% 14.09/9.37 tff(5885,plain,
% 14.09/9.37 ((~(v90(constB8, bitIndex1) <=> v129(constB8, bitIndex1))) | v90(constB8, bitIndex1) | (~v129(constB8, bitIndex1))),
% 14.09/9.37 inference(tautology,[status(thm)],[])).
% 14.09/9.37 tff(5886,plain,
% 14.09/9.37 (v90(constB8, bitIndex1)),
% 14.09/9.37 inference(unit_resolution,[status(thm)],[5885, 5884, 5862])).
% 14.09/9.37 tff(5887,plain,
% 14.09/9.37 ((~(v90(constB9, bitIndex1) <=> v90(constB8, bitIndex1))) | v90(constB9, bitIndex1) | (~v90(constB8, bitIndex1))),
% 14.09/9.37 inference(tautology,[status(thm)],[])).
% 14.09/9.37 tff(5888,plain,
% 14.09/9.37 (v90(constB9, bitIndex1)),
% 14.09/9.37 inference(unit_resolution,[status(thm)],[5887, 5886, 5858])).
% 14.09/9.37 tff(5889,plain,
% 14.09/9.37 ((~(v90(constB9, bitIndex2) | (~v90(constB9, bitIndex1)) | v90(constB9, bitIndex0))) | v90(constB9, bitIndex2) | (~v90(constB9, bitIndex1)) | v90(constB9, bitIndex0)),
% 14.09/9.37 inference(tautology,[status(thm)],[])).
% 14.09/9.37 tff(5890,plain,
% 14.09/9.37 (~(v90(constB9, bitIndex2) | (~v90(constB9, bitIndex1)) | v90(constB9, bitIndex0))),
% 14.09/9.37 inference(unit_resolution,[status(thm)],[5889, 5888, 5854, 5820])).
% 14.09/9.37 tff(5891,plain,
% 14.09/9.37 ((~(v121(constB9) <=> (~(v90(constB9, bitIndex2) | (~v90(constB9, bitIndex1)) | v90(constB9, bitIndex0))))) | v121(constB9) | (v90(constB9, bitIndex2) | (~v90(constB9, bitIndex1)) | v90(constB9, bitIndex0))),
% 14.09/9.37 inference(tautology,[status(thm)],[])).
% 14.09/9.37 tff(5892,plain,
% 14.09/9.37 (v121(constB9)),
% 14.09/9.37 inference(unit_resolution,[status(thm)],[5891, 5890, 4593])).
% 14.09/9.37 tff(5893,plain,
% 14.09/9.37 ((v118(constB9) | v121(constB9)) | (~v121(constB9))),
% 14.09/9.37 inference(tautology,[status(thm)],[])).
% 14.09/9.37 tff(5894,plain,
% 14.09/9.37 (v118(constB9) | v121(constB9)),
% 14.09/9.37 inference(unit_resolution,[status(thm)],[5893, 5892])).
% 14.09/9.37 tff(5895,plain,
% 14.09/9.37 ((~(v117(constB9) <=> (v118(constB9) | v121(constB9)))) | v117(constB9) | (~(v118(constB9) | v121(constB9)))),
% 14.09/9.37 inference(tautology,[status(thm)],[])).
% 14.09/9.37 tff(5896,plain,
% 14.09/9.37 (v117(constB9)),
% 14.09/9.37 inference(unit_resolution,[status(thm)],[5895, 5894, 4586])).
% 14.09/9.37 tff(5897,plain,
% 14.09/9.37 ((v117(constB9) | v122(constB9)) | (~v117(constB9))),
% 14.09/9.37 inference(tautology,[status(thm)],[])).
% 14.09/9.37 tff(5898,plain,
% 14.09/9.37 (v117(constB9) | v122(constB9)),
% 14.09/9.37 inference(unit_resolution,[status(thm)],[5897, 5896])).
% 14.09/9.37 tff(5899,plain,
% 14.09/9.37 ((~(v116(constB9) <=> (v117(constB9) | v122(constB9)))) | v116(constB9) | (~(v117(constB9) | v122(constB9)))),
% 14.09/9.37 inference(tautology,[status(thm)],[])).
% 14.09/9.37 tff(5900,plain,
% 14.09/9.37 (v116(constB9)),
% 14.09/9.37 inference(unit_resolution,[status(thm)],[5899, 5898, 4584])).
% 14.09/9.37 tff(5901,plain,
% 14.09/9.37 ((v116(constB9) | v123(constB9)) | (~v116(constB9))),
% 14.09/9.37 inference(tautology,[status(thm)],[])).
% 14.09/9.37 tff(5902,plain,
% 14.09/9.37 (v116(constB9) | v123(constB9)),
% 14.09/9.37 inference(unit_resolution,[status(thm)],[5901, 5900])).
% 14.09/9.37 tff(5903,plain,
% 14.09/9.37 ((~(v115(constB9) <=> (v116(constB9) | v123(constB9)))) | v115(constB9) | (~(v116(constB9) | v123(constB9)))),
% 14.09/9.37 inference(tautology,[status(thm)],[])).
% 14.09/9.37 tff(5904,plain,
% 14.09/9.37 (v115(constB9)),
% 14.09/9.37 inference(unit_resolution,[status(thm)],[5903, 5902, 4582])).
% 14.09/9.37 tff(5905,plain,
% 14.09/9.37 ((v115(constB9) | v124(constB9)) | (~v115(constB9))),
% 14.09/9.37 inference(tautology,[status(thm)],[])).
% 14.09/9.37 tff(5906,plain,
% 14.09/9.37 (v115(constB9) | v124(constB9)),
% 14.09/9.37 inference(unit_resolution,[status(thm)],[5905, 5904])).
% 14.09/9.37 tff(5907,plain,
% 14.09/9.37 ((~(v114(constB9) <=> (v115(constB9) | v124(constB9)))) | v114(constB9) | (~(v115(constB9) | v124(constB9)))),
% 14.09/9.37 inference(tautology,[status(thm)],[])).
% 14.09/9.37 tff(5908,plain,
% 14.09/9.37 (v114(constB9)),
% 14.09/9.37 inference(unit_resolution,[status(thm)],[5907, 5906, 4580])).
% 14.09/9.37 tff(5909,plain,
% 14.09/9.37 ((v114(constB9) | v125(constB9)) | (~v114(constB9))),
% 14.09/9.37 inference(tautology,[status(thm)],[])).
% 14.09/9.37 tff(5910,plain,
% 14.09/9.37 (v114(constB9) | v125(constB9)),
% 14.09/9.37 inference(unit_resolution,[status(thm)],[5909, 5908])).
% 14.09/9.37 tff(5911,plain,
% 14.09/9.37 ((~(v113(constB9) <=> (v114(constB9) | v125(constB9)))) | v113(constB9) | (~(v114(constB9) | v125(constB9)))),
% 14.09/9.37 inference(tautology,[status(thm)],[])).
% 14.09/9.37 tff(5912,plain,
% 14.09/9.37 (v113(constB9)),
% 14.09/9.37 inference(unit_resolution,[status(thm)],[5911, 5910, 4578])).
% 14.09/9.37 tff(5913,plain,
% 14.09/9.37 ((~![VarCurr: $i] : ((~v126(VarCurr)) <=> v111(VarCurr))) | ((~v126(constB9)) <=> v111(constB9))),
% 14.09/9.37 inference(quant_inst,[status(thm)],[])).
% 14.09/9.37 tff(5914,plain,
% 14.09/9.37 ((~v126(constB9)) <=> v111(constB9)),
% 14.09/9.37 inference(unit_resolution,[status(thm)],[5913, 5074])).
% 14.09/9.37 tff(5915,plain,
% 14.09/9.37 ((~![VarCurr: $i] : (v111(VarCurr) <=> v26(VarCurr))) | (v111(constB9) <=> v26(constB9))),
% 14.09/9.37 inference(quant_inst,[status(thm)],[])).
% 14.09/9.37 tff(5916,plain,
% 14.09/9.37 (v111(constB9) <=> v26(constB9)),
% 14.09/9.37 inference(unit_resolution,[status(thm)],[5915, 5086])).
% 14.09/9.37 tff(5917,plain,
% 14.09/9.37 ((~![VarCurr: $i] : (~v26(VarCurr))) | (~v26(constB9))),
% 14.09/9.37 inference(quant_inst,[status(thm)],[])).
% 14.09/9.37 tff(5918,plain,
% 14.09/9.37 (~v26(constB9)),
% 14.09/9.37 inference(unit_resolution,[status(thm)],[5917, 5098])).
% 14.09/9.37 tff(5919,plain,
% 14.09/9.37 ((~(v111(constB9) <=> v26(constB9))) | (~v111(constB9)) | v26(constB9)),
% 14.09/9.37 inference(tautology,[status(thm)],[])).
% 14.09/9.37 tff(5920,plain,
% 14.09/9.37 ((~(v111(constB9) <=> v26(constB9))) | (~v111(constB9))),
% 14.09/9.37 inference(unit_resolution,[status(thm)],[5919, 5918])).
% 14.09/9.37 tff(5921,plain,
% 14.09/9.37 (~v111(constB9)),
% 14.09/9.37 inference(unit_resolution,[status(thm)],[5920, 5916])).
% 14.09/9.37 tff(5922,plain,
% 14.09/9.37 ((~((~v126(constB9)) <=> v111(constB9))) | v126(constB9) | v111(constB9)),
% 14.09/9.37 inference(tautology,[status(thm)],[])).
% 14.09/9.37 tff(5923,plain,
% 14.09/9.37 ((~((~v126(constB9)) <=> v111(constB9))) | v126(constB9)),
% 14.09/9.37 inference(unit_resolution,[status(thm)],[5922, 5921])).
% 14.09/9.37 tff(5924,plain,
% 14.09/9.37 (v126(constB9)),
% 14.09/9.37 inference(unit_resolution,[status(thm)],[5923, 5914])).
% 14.09/9.37 tff(5925,plain,
% 14.09/9.37 ((~((~v113(constB9)) | (~v126(constB9)))) | (~v113(constB9)) | (~v126(constB9))),
% 14.09/9.37 inference(tautology,[status(thm)],[])).
% 14.09/9.37 tff(5926,plain,
% 14.09/9.37 ((~((~v113(constB9)) | (~v126(constB9)))) | (~v113(constB9))),
% 14.09/9.37 inference(unit_resolution,[status(thm)],[5925, 5924])).
% 14.09/9.37 tff(5927,plain,
% 14.09/9.37 (~((~v113(constB9)) | (~v126(constB9)))),
% 14.09/9.37 inference(unit_resolution,[status(thm)],[5926, 5912])).
% 14.09/9.37 tff(5928,plain,
% 14.09/9.37 ((~(v112(constB9) <=> (~((~v113(constB9)) | (~v126(constB9)))))) | v112(constB9) | ((~v113(constB9)) | (~v126(constB9)))),
% 14.09/9.37 inference(tautology,[status(thm)],[])).
% 14.09/9.37 tff(5929,plain,
% 14.09/9.37 (v112(constB9)),
% 14.09/9.37 inference(unit_resolution,[status(thm)],[5928, 5927, 4576])).
% 14.09/9.37 tff(5930,plain,
% 14.09/9.37 ((v111(constB9) | v112(constB9)) | (~v112(constB9))),
% 14.09/9.37 inference(tautology,[status(thm)],[])).
% 14.09/9.37 tff(5931,plain,
% 14.09/9.37 (v111(constB9) | v112(constB9)),
% 14.09/9.37 inference(unit_resolution,[status(thm)],[5930, 5929])).
% 14.09/9.37 tff(5932,plain,
% 14.09/9.37 ((~(v108(constB9) <=> (v111(constB9) | v112(constB9)))) | v108(constB9) | (~(v111(constB9) | v112(constB9)))),
% 14.09/9.37 inference(tautology,[status(thm)],[])).
% 14.09/9.37 tff(5933,plain,
% 14.09/9.37 (v108(constB9)),
% 14.09/9.37 inference(unit_resolution,[status(thm)],[5932, 5931, 4574])).
% 14.09/9.37 tff(5934,plain,
% 14.09/9.37 ((~(v110(constB10) <=> v108(constB9))) | v110(constB10) | (~v108(constB9))),
% 14.09/9.37 inference(tautology,[status(thm)],[])).
% 14.09/9.37 tff(5935,plain,
% 14.09/9.37 (v110(constB10)),
% 14.09/9.37 inference(unit_resolution,[status(thm)],[5934, 5933, 4572])).
% 14.09/9.37 tff(5936,plain,
% 14.09/9.37 ((~((~v101(constB10)) | (~v110(constB10)))) | (~v101(constB10)) | (~v110(constB10))),
% 14.09/9.37 inference(tautology,[status(thm)],[])).
% 14.09/9.37 tff(5937,plain,
% 14.09/9.37 (~((~v101(constB10)) | (~v110(constB10)))),
% 14.09/9.37 inference(unit_resolution,[status(thm)],[5936, 5935, 4568])).
% 14.09/9.37 tff(5938,plain,
% 14.09/9.37 ((~(v100(constB10) <=> (~((~v101(constB10)) | (~v110(constB10)))))) | v100(constB10) | ((~v101(constB10)) | (~v110(constB10)))),
% 14.09/9.37 inference(tautology,[status(thm)],[])).
% 14.09/9.37 tff(5939,plain,
% 14.09/9.37 (v100(constB10)),
% 14.09/9.37 inference(unit_resolution,[status(thm)],[5938, 5937, 4537])).
% 14.09/9.37 tff(5940,plain,
% 14.09/9.37 (((~![VarNext: $i] : ((~v100(VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v129(VarNext, B))))) | ((~v100(constB10)) | ![B: $i] : ((~less_3(B)) | (v90(constB10, B) <=> v129(constB10, B))))) <=> ((~![VarNext: $i] : ((~v100(VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v129(VarNext, B))))) | (~v100(constB10)) | ![B: $i] : ((~less_3(B)) | (v90(constB10, B) <=> v129(constB10, B))))),
% 14.09/9.37 inference(rewrite,[status(thm)],[])).
% 14.09/9.37 tff(5941,plain,
% 14.09/9.37 ((~![VarNext: $i] : ((~v100(VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v129(VarNext, B))))) | ((~v100(constB10)) | ![B: $i] : ((~less_3(B)) | (v90(constB10, B) <=> v129(constB10, B))))),
% 14.09/9.37 inference(quant_inst,[status(thm)],[])).
% 14.09/9.37 tff(5942,plain,
% 14.09/9.37 ((~![VarNext: $i] : ((~v100(VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v129(VarNext, B))))) | (~v100(constB10)) | ![B: $i] : ((~less_3(B)) | (v90(constB10, B) <=> v129(constB10, B)))),
% 14.09/9.37 inference(modus_ponens,[status(thm)],[5941, 5940])).
% 14.09/9.37 tff(5943,plain,
% 14.09/9.37 ((~v100(constB10)) | ![B: $i] : ((~less_3(B)) | (v90(constB10, B) <=> v129(constB10, B)))),
% 14.09/9.37 inference(unit_resolution,[status(thm)],[5942, 5134])).
% 14.09/9.37 tff(5944,plain,
% 14.09/9.37 (![B: $i] : ((~less_3(B)) | (v90(constB10, B) <=> v129(constB10, B)))),
% 14.09/9.37 inference(unit_resolution,[status(thm)],[5943, 5939])).
% 14.09/9.37 tff(5945,plain,
% 14.09/9.37 (((~![B: $i] : ((~less_3(B)) | (v90(constB10, B) <=> v129(constB10, B)))) | ((~less_3(bitIndex2)) | (v90(constB10, bitIndex2) <=> v129(constB10, bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v90(constB10, B) <=> v129(constB10, B)))) | (~less_3(bitIndex2)) | (v90(constB10, bitIndex2) <=> v129(constB10, bitIndex2)))),
% 14.09/9.37 inference(rewrite,[status(thm)],[])).
% 14.09/9.37 tff(5946,plain,
% 14.09/9.37 ((~![B: $i] : ((~less_3(B)) | (v90(constB10, B) <=> v129(constB10, B)))) | ((~less_3(bitIndex2)) | (v90(constB10, bitIndex2) <=> v129(constB10, bitIndex2)))),
% 14.09/9.37 inference(quant_inst,[status(thm)],[])).
% 14.09/9.37 tff(5947,plain,
% 14.09/9.37 ((~![B: $i] : ((~less_3(B)) | (v90(constB10, B) <=> v129(constB10, B)))) | (~less_3(bitIndex2)) | (v90(constB10, bitIndex2) <=> v129(constB10, bitIndex2))),
% 14.09/9.37 inference(modus_ponens,[status(thm)],[5946, 5945])).
% 14.09/9.37 tff(5948,plain,
% 14.09/9.37 (v90(constB10, bitIndex2) <=> v129(constB10, bitIndex2)),
% 14.09/9.37 inference(unit_resolution,[status(thm)],[5947, 413, 5944])).
% 14.09/9.37 tff(5949,plain,
% 14.09/9.37 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v129(VarNext, B) <=> v127(VarCurr, B))))) | ((~nextState(constB9, constB10)) | ![B: $i] : ((~less_3(B)) | (v129(constB10, B) <=> v127(constB9, B))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v129(VarNext, B) <=> v127(VarCurr, B))))) | (~nextState(constB9, constB10)) | ![B: $i] : ((~less_3(B)) | (v129(constB10, B) <=> v127(constB9, B))))),
% 14.09/9.37 inference(rewrite,[status(thm)],[])).
% 14.09/9.37 tff(5950,plain,
% 14.09/9.37 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v129(VarNext, B) <=> v127(VarCurr, B))))) | ((~nextState(constB9, constB10)) | ![B: $i] : ((~less_3(B)) | (v129(constB10, B) <=> v127(constB9, B))))),
% 14.09/9.37 inference(quant_inst,[status(thm)],[])).
% 14.09/9.37 tff(5951,plain,
% 14.09/9.37 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v129(VarNext, B) <=> v127(VarCurr, B))))) | (~nextState(constB9, constB10)) | ![B: $i] : ((~less_3(B)) | (v129(constB10, B) <=> v127(constB9, B)))),
% 14.09/9.37 inference(modus_ponens,[status(thm)],[5950, 5949])).
% 14.09/9.37 tff(5952,plain,
% 14.09/9.37 (![B: $i] : ((~less_3(B)) | (v129(constB10, B) <=> v127(constB9, B)))),
% 14.09/9.37 inference(unit_resolution,[status(thm)],[5951, 4533, 5156])).
% 14.09/9.37 tff(5953,plain,
% 14.09/9.37 (((~![B: $i] : ((~less_3(B)) | (v129(constB10, B) <=> v127(constB9, B)))) | ((~less_3(bitIndex2)) | (v129(constB10, bitIndex2) <=> v127(constB9, bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v129(constB10, B) <=> v127(constB9, B)))) | (~less_3(bitIndex2)) | (v129(constB10, bitIndex2) <=> v127(constB9, bitIndex2)))),
% 14.09/9.37 inference(rewrite,[status(thm)],[])).
% 14.09/9.37 tff(5954,plain,
% 14.09/9.37 ((~![B: $i] : ((~less_3(B)) | (v129(constB10, B) <=> v127(constB9, B)))) | ((~less_3(bitIndex2)) | (v129(constB10, bitIndex2) <=> v127(constB9, bitIndex2)))),
% 14.09/9.37 inference(quant_inst,[status(thm)],[])).
% 14.09/9.37 tff(5955,plain,
% 14.09/9.37 ((~![B: $i] : ((~less_3(B)) | (v129(constB10, B) <=> v127(constB9, B)))) | (~less_3(bitIndex2)) | (v129(constB10, bitIndex2) <=> v127(constB9, bitIndex2))),
% 14.09/9.37 inference(modus_ponens,[status(thm)],[5954, 5953])).
% 14.09/9.37 tff(5956,plain,
% 14.09/9.37 (v129(constB10, bitIndex2) <=> v127(constB9, bitIndex2)),
% 14.09/9.37 inference(unit_resolution,[status(thm)],[5955, 413, 5952])).
% 14.09/9.37 tff(5957,plain,
% 14.09/9.37 (((~![VarCurr: $i] : (v111(VarCurr) | ![B: $i] : ((~less_3(B)) | (v127(VarCurr, B) <=> v130(VarCurr, B))))) | (v111(constB9) | ![B: $i] : ((~less_3(B)) | (v127(constB9, B) <=> v130(constB9, B))))) <=> ((~![VarCurr: $i] : (v111(VarCurr) | ![B: $i] : ((~less_3(B)) | (v127(VarCurr, B) <=> v130(VarCurr, B))))) | v111(constB9) | ![B: $i] : ((~less_3(B)) | (v127(constB9, B) <=> v130(constB9, B))))),
% 14.09/9.37 inference(rewrite,[status(thm)],[])).
% 14.09/9.37 tff(5958,plain,
% 14.09/9.37 ((~![VarCurr: $i] : (v111(VarCurr) | ![B: $i] : ((~less_3(B)) | (v127(VarCurr, B) <=> v130(VarCurr, B))))) | (v111(constB9) | ![B: $i] : ((~less_3(B)) | (v127(constB9, B) <=> v130(constB9, B))))),
% 14.09/9.37 inference(quant_inst,[status(thm)],[])).
% 14.09/9.37 tff(5959,plain,
% 14.09/9.37 ((~![VarCurr: $i] : (v111(VarCurr) | ![B: $i] : ((~less_3(B)) | (v127(VarCurr, B) <=> v130(VarCurr, B))))) | v111(constB9) | ![B: $i] : ((~less_3(B)) | (v127(constB9, B) <=> v130(constB9, B)))),
% 14.09/9.37 inference(modus_ponens,[status(thm)],[5958, 5957])).
% 14.09/9.37 tff(5960,plain,
% 14.09/9.37 (![B: $i] : ((~less_3(B)) | (v127(constB9, B) <=> v130(constB9, B)))),
% 14.09/9.37 inference(unit_resolution,[status(thm)],[5959, 5177, 5921])).
% 14.09/9.37 tff(5961,plain,
% 14.09/9.37 (((~![B: $i] : ((~less_3(B)) | (v127(constB9, B) <=> v130(constB9, B)))) | ((~less_3(bitIndex2)) | (v127(constB9, bitIndex2) <=> v130(constB9, bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v127(constB9, B) <=> v130(constB9, B)))) | (~less_3(bitIndex2)) | (v127(constB9, bitIndex2) <=> v130(constB9, bitIndex2)))),
% 14.09/9.37 inference(rewrite,[status(thm)],[])).
% 14.09/9.37 tff(5962,plain,
% 14.09/9.37 ((~![B: $i] : ((~less_3(B)) | (v127(constB9, B) <=> v130(constB9, B)))) | ((~less_3(bitIndex2)) | (v127(constB9, bitIndex2) <=> v130(constB9, bitIndex2)))),
% 14.09/9.37 inference(quant_inst,[status(thm)],[])).
% 14.09/9.37 tff(5963,plain,
% 14.09/9.37 ((~![B: $i] : ((~less_3(B)) | (v127(constB9, B) <=> v130(constB9, B)))) | (~less_3(bitIndex2)) | (v127(constB9, bitIndex2) <=> v130(constB9, bitIndex2))),
% 14.09/9.37 inference(modus_ponens,[status(thm)],[5962, 5961])).
% 14.09/9.37 tff(5964,plain,
% 14.09/9.37 (v127(constB9, bitIndex2) <=> v130(constB9, bitIndex2)),
% 14.09/9.37 inference(unit_resolution,[status(thm)],[5963, 413, 5960])).
% 14.09/9.37 tff(5965,plain,
% 14.09/9.37 (^[VarCurr: $i] : refl(((~v121(VarCurr)) | ![B: $i] : ((~less_3(B)) | (v130(VarCurr, B) <=> b011(B)))) <=> ((~v121(VarCurr)) | ![B: $i] : ((~less_3(B)) | (v130(VarCurr, B) <=> b011(B)))))),
% 14.09/9.37 inference(bind,[status(th)],[])).
% 14.09/9.37 tff(5966,plain,
% 14.09/9.37 (![VarCurr: $i] : ((~v121(VarCurr)) | ![B: $i] : ((~less_3(B)) | (v130(VarCurr, B) <=> b011(B)))) <=> ![VarCurr: $i] : ((~v121(VarCurr)) | ![B: $i] : ((~less_3(B)) | (v130(VarCurr, B) <=> b011(B))))),
% 14.09/9.37 inference(quant_intro,[status(thm)],[5965])).
% 14.09/9.37 tff(5967,plain,
% 14.09/9.37 (^[VarCurr: $i] : rewrite(((~v121(VarCurr)) | ![B: $i] : ((~less_3(B)) | (v130(VarCurr, B) <=> b011(B)))) <=> ((~v121(VarCurr)) | ![B: $i] : ((~less_3(B)) | (v130(VarCurr, B) <=> b011(B)))))),
% 14.09/9.37 inference(bind,[status(th)],[])).
% 14.09/9.37 tff(5968,plain,
% 14.09/9.37 (![VarCurr: $i] : ((~v121(VarCurr)) | ![B: $i] : ((~less_3(B)) | (v130(VarCurr, B) <=> b011(B)))) <=> ![VarCurr: $i] : ((~v121(VarCurr)) | ![B: $i] : ((~less_3(B)) | (v130(VarCurr, B) <=> b011(B))))),
% 14.09/9.37 inference(quant_intro,[status(thm)],[5967])).
% 14.09/9.37 tff(5969,plain,
% 14.09/9.37 (![VarCurr: $i] : ((~v121(VarCurr)) | ![B: $i] : ((~less_3(B)) | (v130(VarCurr, B) <=> b011(B)))) <=> ![VarCurr: $i] : ((~v121(VarCurr)) | ![B: $i] : ((~less_3(B)) | (v130(VarCurr, B) <=> b011(B))))),
% 14.09/9.37 inference(transitivity,[status(thm)],[5968, 5966])).
% 14.09/9.37 tff(5970,plain,
% 14.09/9.37 (![VarCurr: $i] : ((~v121(VarCurr)) | ![B: $i] : ((~less_3(B)) | (v130(VarCurr, B) <=> b011(B)))) <=> ![VarCurr: $i] : ((~v121(VarCurr)) | ![B: $i] : ((~less_3(B)) | (v130(VarCurr, B) <=> b011(B))))),
% 14.09/9.37 inference(rewrite,[status(thm)],[])).
% 14.09/9.37 tff(5971,plain,
% 14.09/9.37 (^[VarCurr: $i] : trans(monotonicity(quant_intro(proof_bind(^[B: $i] : rewrite((less_3(B) => (v130(VarCurr, B) <=> b011(B))) <=> ((~less_3(B)) | (v130(VarCurr, B) <=> b011(B))))), (![B: $i] : (less_3(B) => (v130(VarCurr, B) <=> b011(B))) <=> ![B: $i] : ((~less_3(B)) | (v130(VarCurr, B) <=> b011(B))))), ((v121(VarCurr) => ![B: $i] : (less_3(B) => (v130(VarCurr, B) <=> b011(B)))) <=> (v121(VarCurr) => ![B: $i] : ((~less_3(B)) | (v130(VarCurr, B) <=> b011(B)))))), rewrite((v121(VarCurr) => ![B: $i] : ((~less_3(B)) | (v130(VarCurr, B) <=> b011(B)))) <=> ((~v121(VarCurr)) | ![B: $i] : ((~less_3(B)) | (v130(VarCurr, B) <=> b011(B))))), ((v121(VarCurr) => ![B: $i] : (less_3(B) => (v130(VarCurr, B) <=> b011(B)))) <=> ((~v121(VarCurr)) | ![B: $i] : ((~less_3(B)) | (v130(VarCurr, B) <=> b011(B))))))),
% 14.09/9.37 inference(bind,[status(th)],[])).
% 14.09/9.37 tff(5972,plain,
% 14.09/9.37 (![VarCurr: $i] : (v121(VarCurr) => ![B: $i] : (less_3(B) => (v130(VarCurr, B) <=> b011(B)))) <=> ![VarCurr: $i] : ((~v121(VarCurr)) | ![B: $i] : ((~less_3(B)) | (v130(VarCurr, B) <=> b011(B))))),
% 14.09/9.37 inference(quant_intro,[status(thm)],[5971])).
% 14.09/9.37 tff(5973,axiom,(![VarCurr: $i] : (v121(VarCurr) => ![B: $i] : (less_3(B) => (v130(VarCurr, B) <=> b011(B))))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','addParallelCaseBooleanConditionEqualRanges2')).
% 14.09/9.37 tff(5974,plain,
% 14.09/9.37 (![VarCurr: $i] : ((~v121(VarCurr)) | ![B: $i] : ((~less_3(B)) | (v130(VarCurr, B) <=> b011(B))))),
% 14.09/9.37 inference(modus_ponens,[status(thm)],[5973, 5972])).
% 14.09/9.37 tff(5975,plain,
% 14.09/9.37 (![VarCurr: $i] : ((~v121(VarCurr)) | ![B: $i] : ((~less_3(B)) | (v130(VarCurr, B) <=> b011(B))))),
% 14.09/9.37 inference(modus_ponens,[status(thm)],[5974, 5970])).
% 14.09/9.37 tff(5976,plain,(
% 14.09/9.37 ![VarCurr: $i] : ((~v121(VarCurr)) | ![B: $i] : ((~less_3(B)) | (v130(VarCurr, B) <=> b011(B))))),
% 14.09/9.37 inference(skolemize,[status(sab)],[5975])).
% 14.09/9.37 tff(5977,plain,
% 14.09/9.37 (![VarCurr: $i] : ((~v121(VarCurr)) | ![B: $i] : ((~less_3(B)) | (v130(VarCurr, B) <=> b011(B))))),
% 14.09/9.37 inference(modus_ponens,[status(thm)],[5976, 5969])).
% 14.09/9.37 tff(5978,plain,
% 14.09/9.37 (((~![VarCurr: $i] : ((~v121(VarCurr)) | ![B: $i] : ((~less_3(B)) | (v130(VarCurr, B) <=> b011(B))))) | ((~v121(constB9)) | ![B: $i] : ((~less_3(B)) | (v130(constB9, B) <=> b011(B))))) <=> ((~![VarCurr: $i] : ((~v121(VarCurr)) | ![B: $i] : ((~less_3(B)) | (v130(VarCurr, B) <=> b011(B))))) | (~v121(constB9)) | ![B: $i] : ((~less_3(B)) | (v130(constB9, B) <=> b011(B))))),
% 14.09/9.37 inference(rewrite,[status(thm)],[])).
% 14.09/9.37 tff(5979,plain,
% 14.09/9.37 ((~![VarCurr: $i] : ((~v121(VarCurr)) | ![B: $i] : ((~less_3(B)) | (v130(VarCurr, B) <=> b011(B))))) | ((~v121(constB9)) | ![B: $i] : ((~less_3(B)) | (v130(constB9, B) <=> b011(B))))),
% 14.09/9.37 inference(quant_inst,[status(thm)],[])).
% 14.09/9.37 tff(5980,plain,
% 14.09/9.37 ((~![VarCurr: $i] : ((~v121(VarCurr)) | ![B: $i] : ((~less_3(B)) | (v130(VarCurr, B) <=> b011(B))))) | (~v121(constB9)) | ![B: $i] : ((~less_3(B)) | (v130(constB9, B) <=> b011(B)))),
% 14.09/9.37 inference(modus_ponens,[status(thm)],[5979, 5978])).
% 14.09/9.37 tff(5981,plain,
% 14.09/9.37 ((~v121(constB9)) | ![B: $i] : ((~less_3(B)) | (v130(constB9, B) <=> b011(B)))),
% 14.09/9.37 inference(unit_resolution,[status(thm)],[5980, 5977])).
% 14.09/9.37 tff(5982,plain,
% 14.09/9.37 (![B: $i] : ((~less_3(B)) | (v130(constB9, B) <=> b011(B)))),
% 14.09/9.37 inference(unit_resolution,[status(thm)],[5981, 5892])).
% 14.09/9.37 tff(5983,plain,
% 14.09/9.37 (((~![B: $i] : ((~less_3(B)) | (v130(constB9, B) <=> b011(B)))) | ((~less_3(bitIndex2)) | (v130(constB9, bitIndex2) <=> b011(bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v130(constB9, B) <=> b011(B)))) | (~less_3(bitIndex2)) | (v130(constB9, bitIndex2) <=> b011(bitIndex2)))),
% 14.09/9.37 inference(rewrite,[status(thm)],[])).
% 14.09/9.37 tff(5984,plain,
% 14.09/9.37 ((~![B: $i] : ((~less_3(B)) | (v130(constB9, B) <=> b011(B)))) | ((~less_3(bitIndex2)) | (v130(constB9, bitIndex2) <=> b011(bitIndex2)))),
% 14.09/9.37 inference(quant_inst,[status(thm)],[])).
% 14.09/9.37 tff(5985,plain,
% 14.09/9.37 ((~![B: $i] : ((~less_3(B)) | (v130(constB9, B) <=> b011(B)))) | (~less_3(bitIndex2)) | (v130(constB9, bitIndex2) <=> b011(bitIndex2))),
% 14.09/9.37 inference(modus_ponens,[status(thm)],[5984, 5983])).
% 14.09/9.37 tff(5986,plain,
% 14.09/9.37 (v130(constB9, bitIndex2) <=> b011(bitIndex2)),
% 14.09/9.38 inference(unit_resolution,[status(thm)],[5985, 413, 5982])).
% 14.09/9.38 tff(5987,plain,
% 14.09/9.38 ((~b011(bitIndex2)) <=> (~b011(bitIndex2))),
% 14.09/9.38 inference(rewrite,[status(thm)],[])).
% 14.09/9.38 tff(5988,axiom,(~b011(bitIndex2)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bitBlastConstant_11')).
% 14.09/9.38 tff(5989,plain,
% 14.09/9.38 (~b011(bitIndex2)),
% 14.09/9.38 inference(modus_ponens,[status(thm)],[5988, 5987])).
% 14.09/9.38 tff(5990,plain,
% 14.09/9.38 ((~(v130(constB9, bitIndex2) <=> b011(bitIndex2))) | (~v130(constB9, bitIndex2)) | b011(bitIndex2)),
% 14.09/9.38 inference(tautology,[status(thm)],[])).
% 14.09/9.38 tff(5991,plain,
% 14.09/9.38 ((~(v130(constB9, bitIndex2) <=> b011(bitIndex2))) | (~v130(constB9, bitIndex2))),
% 14.09/9.38 inference(unit_resolution,[status(thm)],[5990, 5989])).
% 14.09/9.38 tff(5992,plain,
% 14.09/9.38 (~v130(constB9, bitIndex2)),
% 14.09/9.38 inference(unit_resolution,[status(thm)],[5991, 5986])).
% 14.09/9.38 tff(5993,plain,
% 14.09/9.38 ((~(v127(constB9, bitIndex2) <=> v130(constB9, bitIndex2))) | (~v127(constB9, bitIndex2)) | v130(constB9, bitIndex2)),
% 14.09/9.38 inference(tautology,[status(thm)],[])).
% 14.09/9.38 tff(5994,plain,
% 14.09/9.38 (~v127(constB9, bitIndex2)),
% 14.09/9.38 inference(unit_resolution,[status(thm)],[5993, 5992, 5964])).
% 14.09/9.38 tff(5995,plain,
% 14.09/9.38 ((~(v129(constB10, bitIndex2) <=> v127(constB9, bitIndex2))) | (~v129(constB10, bitIndex2)) | v127(constB9, bitIndex2)),
% 14.09/9.38 inference(tautology,[status(thm)],[])).
% 14.09/9.38 tff(5996,plain,
% 14.09/9.38 (~v129(constB10, bitIndex2)),
% 14.09/9.38 inference(unit_resolution,[status(thm)],[5995, 5994, 5956])).
% 14.09/9.38 tff(5997,plain,
% 14.09/9.38 ((~(v90(constB10, bitIndex2) <=> v129(constB10, bitIndex2))) | (~v90(constB10, bitIndex2)) | v129(constB10, bitIndex2)),
% 14.09/9.38 inference(tautology,[status(thm)],[])).
% 14.09/9.38 tff(5998,plain,
% 14.09/9.38 (~v90(constB10, bitIndex2)),
% 14.09/9.38 inference(unit_resolution,[status(thm)],[5997, 5996, 5948])).
% 14.09/9.38 tff(5999,plain,
% 14.09/9.38 ((~(v90(constB11, bitIndex2) <=> v90(constB10, bitIndex2))) | (~v90(constB11, bitIndex2)) | v90(constB10, bitIndex2)),
% 14.09/9.38 inference(tautology,[status(thm)],[])).
% 14.09/9.38 tff(6000,plain,
% 14.09/9.38 (~v90(constB11, bitIndex2)),
% 14.09/9.38 inference(unit_resolution,[status(thm)],[5999, 5998, 4530])).
% 14.09/9.38 tff(6001,plain,
% 14.09/9.38 (((~![B: $i] : ((~less_3(B)) | (v90(constB11, B) <=> v90(constB10, B)))) | ((~less_3(bitIndex0)) | (v90(constB11, bitIndex0) <=> v90(constB10, bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v90(constB11, B) <=> v90(constB10, B)))) | (~less_3(bitIndex0)) | (v90(constB11, bitIndex0) <=> v90(constB10, bitIndex0)))),
% 14.09/9.38 inference(rewrite,[status(thm)],[])).
% 14.09/9.38 tff(6002,plain,
% 14.09/9.38 ((~![B: $i] : ((~less_3(B)) | (v90(constB11, B) <=> v90(constB10, B)))) | ((~less_3(bitIndex0)) | (v90(constB11, bitIndex0) <=> v90(constB10, bitIndex0)))),
% 14.09/9.38 inference(quant_inst,[status(thm)],[])).
% 14.09/9.38 tff(6003,plain,
% 14.09/9.38 ((~![B: $i] : ((~less_3(B)) | (v90(constB11, B) <=> v90(constB10, B)))) | (~less_3(bitIndex0)) | (v90(constB11, bitIndex0) <=> v90(constB10, bitIndex0))),
% 14.09/9.38 inference(modus_ponens,[status(thm)],[6002, 6001])).
% 14.09/9.38 tff(6004,plain,
% 14.09/9.38 (v90(constB11, bitIndex0) <=> v90(constB10, bitIndex0)),
% 14.09/9.38 inference(unit_resolution,[status(thm)],[6003, 5004, 4526])).
% 14.09/9.38 tff(6005,plain,
% 14.09/9.38 (((~![B: $i] : ((~less_3(B)) | (v90(constB10, B) <=> v129(constB10, B)))) | ((~less_3(bitIndex0)) | (v90(constB10, bitIndex0) <=> v129(constB10, bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v90(constB10, B) <=> v129(constB10, B)))) | (~less_3(bitIndex0)) | (v90(constB10, bitIndex0) <=> v129(constB10, bitIndex0)))),
% 14.09/9.38 inference(rewrite,[status(thm)],[])).
% 14.09/9.38 tff(6006,plain,
% 14.09/9.38 ((~![B: $i] : ((~less_3(B)) | (v90(constB10, B) <=> v129(constB10, B)))) | ((~less_3(bitIndex0)) | (v90(constB10, bitIndex0) <=> v129(constB10, bitIndex0)))),
% 14.09/9.38 inference(quant_inst,[status(thm)],[])).
% 14.09/9.38 tff(6007,plain,
% 14.09/9.38 ((~![B: $i] : ((~less_3(B)) | (v90(constB10, B) <=> v129(constB10, B)))) | (~less_3(bitIndex0)) | (v90(constB10, bitIndex0) <=> v129(constB10, bitIndex0))),
% 14.09/9.38 inference(modus_ponens,[status(thm)],[6006, 6005])).
% 14.09/9.38 tff(6008,plain,
% 14.09/9.38 (v90(constB10, bitIndex0) <=> v129(constB10, bitIndex0)),
% 14.09/9.38 inference(unit_resolution,[status(thm)],[6007, 5004, 5944])).
% 14.09/9.38 tff(6009,plain,
% 14.09/9.38 (((~![B: $i] : ((~less_3(B)) | (v129(constB10, B) <=> v127(constB9, B)))) | ((~less_3(bitIndex0)) | (v129(constB10, bitIndex0) <=> v127(constB9, bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v129(constB10, B) <=> v127(constB9, B)))) | (~less_3(bitIndex0)) | (v129(constB10, bitIndex0) <=> v127(constB9, bitIndex0)))),
% 14.09/9.38 inference(rewrite,[status(thm)],[])).
% 14.09/9.38 tff(6010,plain,
% 14.09/9.38 ((~![B: $i] : ((~less_3(B)) | (v129(constB10, B) <=> v127(constB9, B)))) | ((~less_3(bitIndex0)) | (v129(constB10, bitIndex0) <=> v127(constB9, bitIndex0)))),
% 14.09/9.38 inference(quant_inst,[status(thm)],[])).
% 14.09/9.38 tff(6011,plain,
% 14.09/9.38 ((~![B: $i] : ((~less_3(B)) | (v129(constB10, B) <=> v127(constB9, B)))) | (~less_3(bitIndex0)) | (v129(constB10, bitIndex0) <=> v127(constB9, bitIndex0))),
% 14.09/9.38 inference(modus_ponens,[status(thm)],[6010, 6009])).
% 14.09/9.38 tff(6012,plain,
% 14.09/9.38 (v129(constB10, bitIndex0) <=> v127(constB9, bitIndex0)),
% 14.09/9.38 inference(unit_resolution,[status(thm)],[6011, 5004, 5952])).
% 14.09/9.38 tff(6013,plain,
% 14.09/9.38 (((~![B: $i] : ((~less_3(B)) | (v127(constB9, B) <=> v130(constB9, B)))) | ((~less_3(bitIndex0)) | (v127(constB9, bitIndex0) <=> v130(constB9, bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v127(constB9, B) <=> v130(constB9, B)))) | (~less_3(bitIndex0)) | (v127(constB9, bitIndex0) <=> v130(constB9, bitIndex0)))),
% 14.09/9.38 inference(rewrite,[status(thm)],[])).
% 14.09/9.38 tff(6014,plain,
% 14.09/9.38 ((~![B: $i] : ((~less_3(B)) | (v127(constB9, B) <=> v130(constB9, B)))) | ((~less_3(bitIndex0)) | (v127(constB9, bitIndex0) <=> v130(constB9, bitIndex0)))),
% 14.09/9.38 inference(quant_inst,[status(thm)],[])).
% 14.09/9.38 tff(6015,plain,
% 14.09/9.38 ((~![B: $i] : ((~less_3(B)) | (v127(constB9, B) <=> v130(constB9, B)))) | (~less_3(bitIndex0)) | (v127(constB9, bitIndex0) <=> v130(constB9, bitIndex0))),
% 14.09/9.38 inference(modus_ponens,[status(thm)],[6014, 6013])).
% 14.09/9.38 tff(6016,plain,
% 14.09/9.38 (v127(constB9, bitIndex0) <=> v130(constB9, bitIndex0)),
% 14.09/9.38 inference(unit_resolution,[status(thm)],[6015, 5004, 5960])).
% 14.09/9.38 tff(6017,plain,
% 14.09/9.38 (((~![B: $i] : ((~less_3(B)) | (v130(constB9, B) <=> b011(B)))) | ((~less_3(bitIndex0)) | (v130(constB9, bitIndex0) <=> b011(bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v130(constB9, B) <=> b011(B)))) | (~less_3(bitIndex0)) | (v130(constB9, bitIndex0) <=> b011(bitIndex0)))),
% 14.09/9.38 inference(rewrite,[status(thm)],[])).
% 14.09/9.38 tff(6018,plain,
% 14.09/9.38 ((~![B: $i] : ((~less_3(B)) | (v130(constB9, B) <=> b011(B)))) | ((~less_3(bitIndex0)) | (v130(constB9, bitIndex0) <=> b011(bitIndex0)))),
% 14.09/9.38 inference(quant_inst,[status(thm)],[])).
% 14.09/9.38 tff(6019,plain,
% 14.09/9.38 ((~![B: $i] : ((~less_3(B)) | (v130(constB9, B) <=> b011(B)))) | (~less_3(bitIndex0)) | (v130(constB9, bitIndex0) <=> b011(bitIndex0))),
% 14.09/9.38 inference(modus_ponens,[status(thm)],[6018, 6017])).
% 14.09/9.38 tff(6020,plain,
% 14.09/9.38 (v130(constB9, bitIndex0) <=> b011(bitIndex0)),
% 14.09/9.38 inference(unit_resolution,[status(thm)],[6019, 5004, 5982])).
% 14.09/9.38 tff(6021,plain,
% 14.09/9.38 (b011(bitIndex0) <=> b011(bitIndex0)),
% 14.09/9.38 inference(rewrite,[status(thm)],[])).
% 14.09/9.38 tff(6022,axiom,(b011(bitIndex0)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bitBlastConstant_9')).
% 14.09/9.38 tff(6023,plain,
% 14.09/9.38 (b011(bitIndex0)),
% 14.09/9.38 inference(modus_ponens,[status(thm)],[6022, 6021])).
% 14.09/9.38 tff(6024,plain,
% 14.09/9.38 ((~(v130(constB9, bitIndex0) <=> b011(bitIndex0))) | v130(constB9, bitIndex0) | (~b011(bitIndex0))),
% 14.09/9.38 inference(tautology,[status(thm)],[])).
% 14.09/9.38 tff(6025,plain,
% 14.09/9.38 ((~(v130(constB9, bitIndex0) <=> b011(bitIndex0))) | v130(constB9, bitIndex0)),
% 14.09/9.38 inference(unit_resolution,[status(thm)],[6024, 6023])).
% 14.09/9.38 tff(6026,plain,
% 14.09/9.38 (v130(constB9, bitIndex0)),
% 14.09/9.38 inference(unit_resolution,[status(thm)],[6025, 6020])).
% 14.09/9.38 tff(6027,plain,
% 14.09/9.38 ((~(v127(constB9, bitIndex0) <=> v130(constB9, bitIndex0))) | v127(constB9, bitIndex0) | (~v130(constB9, bitIndex0))),
% 14.09/9.38 inference(tautology,[status(thm)],[])).
% 14.09/9.38 tff(6028,plain,
% 14.09/9.38 (v127(constB9, bitIndex0)),
% 14.09/9.38 inference(unit_resolution,[status(thm)],[6027, 6026, 6016])).
% 14.09/9.38 tff(6029,plain,
% 14.09/9.38 ((~(v129(constB10, bitIndex0) <=> v127(constB9, bitIndex0))) | v129(constB10, bitIndex0) | (~v127(constB9, bitIndex0))),
% 14.09/9.38 inference(tautology,[status(thm)],[])).
% 14.09/9.38 tff(6030,plain,
% 14.09/9.38 (v129(constB10, bitIndex0)),
% 14.09/9.38 inference(unit_resolution,[status(thm)],[6029, 6028, 6012])).
% 14.09/9.38 tff(6031,plain,
% 14.09/9.38 ((~(v90(constB10, bitIndex0) <=> v129(constB10, bitIndex0))) | v90(constB10, bitIndex0) | (~v129(constB10, bitIndex0))),
% 14.09/9.38 inference(tautology,[status(thm)],[])).
% 14.09/9.38 tff(6032,plain,
% 14.09/9.38 (v90(constB10, bitIndex0)),
% 14.09/9.38 inference(unit_resolution,[status(thm)],[6031, 6030, 6008])).
% 14.09/9.38 tff(6033,plain,
% 14.09/9.38 ((~(v90(constB11, bitIndex0) <=> v90(constB10, bitIndex0))) | v90(constB11, bitIndex0) | (~v90(constB10, bitIndex0))),
% 14.09/9.38 inference(tautology,[status(thm)],[])).
% 14.09/9.38 tff(6034,plain,
% 14.09/9.38 (v90(constB11, bitIndex0)),
% 14.09/9.38 inference(unit_resolution,[status(thm)],[6033, 6032, 6004])).
% 14.09/9.38 tff(6035,plain,
% 14.09/9.38 (((~![B: $i] : ((~less_3(B)) | (v90(constB11, B) <=> v90(constB10, B)))) | ((~less_3(bitIndex1)) | (v90(constB11, bitIndex1) <=> v90(constB10, bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v90(constB11, B) <=> v90(constB10, B)))) | (~less_3(bitIndex1)) | (v90(constB11, bitIndex1) <=> v90(constB10, bitIndex1)))),
% 14.09/9.38 inference(rewrite,[status(thm)],[])).
% 14.09/9.38 tff(6036,plain,
% 14.09/9.38 ((~![B: $i] : ((~less_3(B)) | (v90(constB11, B) <=> v90(constB10, B)))) | ((~less_3(bitIndex1)) | (v90(constB11, bitIndex1) <=> v90(constB10, bitIndex1)))),
% 14.09/9.38 inference(quant_inst,[status(thm)],[])).
% 14.09/9.38 tff(6037,plain,
% 14.09/9.38 ((~![B: $i] : ((~less_3(B)) | (v90(constB11, B) <=> v90(constB10, B)))) | (~less_3(bitIndex1)) | (v90(constB11, bitIndex1) <=> v90(constB10, bitIndex1))),
% 14.09/9.38 inference(modus_ponens,[status(thm)],[6036, 6035])).
% 14.09/9.38 tff(6038,plain,
% 14.09/9.38 (v90(constB11, bitIndex1) <=> v90(constB10, bitIndex1)),
% 14.09/9.38 inference(unit_resolution,[status(thm)],[6037, 5017, 4526])).
% 14.09/9.38 tff(6039,plain,
% 14.09/9.38 (((~![B: $i] : ((~less_3(B)) | (v90(constB10, B) <=> v129(constB10, B)))) | ((~less_3(bitIndex1)) | (v90(constB10, bitIndex1) <=> v129(constB10, bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v90(constB10, B) <=> v129(constB10, B)))) | (~less_3(bitIndex1)) | (v90(constB10, bitIndex1) <=> v129(constB10, bitIndex1)))),
% 14.09/9.38 inference(rewrite,[status(thm)],[])).
% 14.09/9.38 tff(6040,plain,
% 14.09/9.38 ((~![B: $i] : ((~less_3(B)) | (v90(constB10, B) <=> v129(constB10, B)))) | ((~less_3(bitIndex1)) | (v90(constB10, bitIndex1) <=> v129(constB10, bitIndex1)))),
% 14.09/9.38 inference(quant_inst,[status(thm)],[])).
% 14.09/9.38 tff(6041,plain,
% 14.09/9.38 ((~![B: $i] : ((~less_3(B)) | (v90(constB10, B) <=> v129(constB10, B)))) | (~less_3(bitIndex1)) | (v90(constB10, bitIndex1) <=> v129(constB10, bitIndex1))),
% 14.09/9.38 inference(modus_ponens,[status(thm)],[6040, 6039])).
% 14.09/9.38 tff(6042,plain,
% 14.09/9.38 (v90(constB10, bitIndex1) <=> v129(constB10, bitIndex1)),
% 14.09/9.38 inference(unit_resolution,[status(thm)],[6041, 5017, 5944])).
% 14.09/9.38 tff(6043,plain,
% 14.09/9.38 (((~![B: $i] : ((~less_3(B)) | (v129(constB10, B) <=> v127(constB9, B)))) | ((~less_3(bitIndex1)) | (v129(constB10, bitIndex1) <=> v127(constB9, bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v129(constB10, B) <=> v127(constB9, B)))) | (~less_3(bitIndex1)) | (v129(constB10, bitIndex1) <=> v127(constB9, bitIndex1)))),
% 14.09/9.38 inference(rewrite,[status(thm)],[])).
% 14.09/9.38 tff(6044,plain,
% 14.09/9.38 ((~![B: $i] : ((~less_3(B)) | (v129(constB10, B) <=> v127(constB9, B)))) | ((~less_3(bitIndex1)) | (v129(constB10, bitIndex1) <=> v127(constB9, bitIndex1)))),
% 14.09/9.38 inference(quant_inst,[status(thm)],[])).
% 14.09/9.38 tff(6045,plain,
% 14.09/9.38 ((~![B: $i] : ((~less_3(B)) | (v129(constB10, B) <=> v127(constB9, B)))) | (~less_3(bitIndex1)) | (v129(constB10, bitIndex1) <=> v127(constB9, bitIndex1))),
% 14.09/9.38 inference(modus_ponens,[status(thm)],[6044, 6043])).
% 14.09/9.38 tff(6046,plain,
% 14.09/9.38 (v129(constB10, bitIndex1) <=> v127(constB9, bitIndex1)),
% 14.09/9.38 inference(unit_resolution,[status(thm)],[6045, 5017, 5952])).
% 14.09/9.38 tff(6047,plain,
% 14.09/9.38 (((~![B: $i] : ((~less_3(B)) | (v127(constB9, B) <=> v130(constB9, B)))) | ((~less_3(bitIndex1)) | (v127(constB9, bitIndex1) <=> v130(constB9, bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v127(constB9, B) <=> v130(constB9, B)))) | (~less_3(bitIndex1)) | (v127(constB9, bitIndex1) <=> v130(constB9, bitIndex1)))),
% 14.09/9.38 inference(rewrite,[status(thm)],[])).
% 14.09/9.38 tff(6048,plain,
% 14.09/9.38 ((~![B: $i] : ((~less_3(B)) | (v127(constB9, B) <=> v130(constB9, B)))) | ((~less_3(bitIndex1)) | (v127(constB9, bitIndex1) <=> v130(constB9, bitIndex1)))),
% 14.09/9.38 inference(quant_inst,[status(thm)],[])).
% 14.09/9.38 tff(6049,plain,
% 14.09/9.38 ((~![B: $i] : ((~less_3(B)) | (v127(constB9, B) <=> v130(constB9, B)))) | (~less_3(bitIndex1)) | (v127(constB9, bitIndex1) <=> v130(constB9, bitIndex1))),
% 14.09/9.38 inference(modus_ponens,[status(thm)],[6048, 6047])).
% 14.09/9.38 tff(6050,plain,
% 14.09/9.38 (v127(constB9, bitIndex1) <=> v130(constB9, bitIndex1)),
% 14.09/9.38 inference(unit_resolution,[status(thm)],[6049, 5017, 5960])).
% 14.09/9.38 tff(6051,plain,
% 14.09/9.38 (((~![B: $i] : ((~less_3(B)) | (v130(constB9, B) <=> b011(B)))) | ((~less_3(bitIndex1)) | (v130(constB9, bitIndex1) <=> b011(bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v130(constB9, B) <=> b011(B)))) | (~less_3(bitIndex1)) | (v130(constB9, bitIndex1) <=> b011(bitIndex1)))),
% 14.09/9.38 inference(rewrite,[status(thm)],[])).
% 14.09/9.38 tff(6052,plain,
% 14.09/9.38 ((~![B: $i] : ((~less_3(B)) | (v130(constB9, B) <=> b011(B)))) | ((~less_3(bitIndex1)) | (v130(constB9, bitIndex1) <=> b011(bitIndex1)))),
% 14.09/9.38 inference(quant_inst,[status(thm)],[])).
% 14.09/9.38 tff(6053,plain,
% 14.09/9.38 ((~![B: $i] : ((~less_3(B)) | (v130(constB9, B) <=> b011(B)))) | (~less_3(bitIndex1)) | (v130(constB9, bitIndex1) <=> b011(bitIndex1))),
% 14.09/9.38 inference(modus_ponens,[status(thm)],[6052, 6051])).
% 14.09/9.38 tff(6054,plain,
% 14.09/9.38 (v130(constB9, bitIndex1) <=> b011(bitIndex1)),
% 14.09/9.38 inference(unit_resolution,[status(thm)],[6053, 5017, 5982])).
% 14.09/9.38 tff(6055,plain,
% 14.09/9.38 (b011(bitIndex1) <=> b011(bitIndex1)),
% 14.09/9.38 inference(rewrite,[status(thm)],[])).
% 14.09/9.38 tff(6056,axiom,(b011(bitIndex1)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bitBlastConstant_10')).
% 14.09/9.38 tff(6057,plain,
% 14.09/9.38 (b011(bitIndex1)),
% 14.09/9.38 inference(modus_ponens,[status(thm)],[6056, 6055])).
% 14.09/9.38 tff(6058,plain,
% 14.09/9.38 ((~(v130(constB9, bitIndex1) <=> b011(bitIndex1))) | v130(constB9, bitIndex1) | (~b011(bitIndex1))),
% 14.09/9.38 inference(tautology,[status(thm)],[])).
% 14.09/9.38 tff(6059,plain,
% 14.09/9.38 ((~(v130(constB9, bitIndex1) <=> b011(bitIndex1))) | v130(constB9, bitIndex1)),
% 14.09/9.38 inference(unit_resolution,[status(thm)],[6058, 6057])).
% 14.09/9.38 tff(6060,plain,
% 14.09/9.38 (v130(constB9, bitIndex1)),
% 14.09/9.38 inference(unit_resolution,[status(thm)],[6059, 6054])).
% 14.09/9.38 tff(6061,plain,
% 14.09/9.38 ((~(v127(constB9, bitIndex1) <=> v130(constB9, bitIndex1))) | v127(constB9, bitIndex1) | (~v130(constB9, bitIndex1))),
% 14.09/9.38 inference(tautology,[status(thm)],[])).
% 14.09/9.38 tff(6062,plain,
% 14.09/9.38 (v127(constB9, bitIndex1)),
% 14.09/9.38 inference(unit_resolution,[status(thm)],[6061, 6060, 6050])).
% 14.09/9.38 tff(6063,plain,
% 14.09/9.38 ((~(v129(constB10, bitIndex1) <=> v127(constB9, bitIndex1))) | v129(constB10, bitIndex1) | (~v127(constB9, bitIndex1))),
% 14.09/9.38 inference(tautology,[status(thm)],[])).
% 14.09/9.38 tff(6064,plain,
% 14.09/9.38 (v129(constB10, bitIndex1)),
% 14.09/9.38 inference(unit_resolution,[status(thm)],[6063, 6062, 6046])).
% 14.09/9.38 tff(6065,plain,
% 14.09/9.38 ((~(v90(constB10, bitIndex1) <=> v129(constB10, bitIndex1))) | v90(constB10, bitIndex1) | (~v129(constB10, bitIndex1))),
% 14.09/9.38 inference(tautology,[status(thm)],[])).
% 14.09/9.38 tff(6066,plain,
% 14.09/9.38 (v90(constB10, bitIndex1)),
% 14.09/9.38 inference(unit_resolution,[status(thm)],[6065, 6064, 6042])).
% 14.09/9.38 tff(6067,plain,
% 14.09/9.38 ((~(v90(constB11, bitIndex1) <=> v90(constB10, bitIndex1))) | v90(constB11, bitIndex1) | (~v90(constB10, bitIndex1))),
% 14.09/9.38 inference(tautology,[status(thm)],[])).
% 14.09/9.38 tff(6068,plain,
% 14.09/9.38 (v90(constB11, bitIndex1)),
% 14.09/9.38 inference(unit_resolution,[status(thm)],[6067, 6066, 6038])).
% 14.09/9.38 tff(6069,plain,
% 14.09/9.38 ((~(v90(constB11, bitIndex2) | (~v90(constB11, bitIndex1)) | (~v90(constB11, bitIndex0)))) | v90(constB11, bitIndex2) | (~v90(constB11, bitIndex1)) | (~v90(constB11, bitIndex0))),
% 14.09/9.38 inference(tautology,[status(thm)],[])).
% 14.09/9.38 tff(6070,plain,
% 14.09/9.38 (~(v90(constB11, bitIndex2) | (~v90(constB11, bitIndex1)) | (~v90(constB11, bitIndex0)))),
% 14.09/9.38 inference(unit_resolution,[status(thm)],[6069, 6068, 6034, 6000])).
% 14.09/9.38 tff(6071,plain,
% 14.09/9.38 ((~(v122(constB11) <=> (~(v90(constB11, bitIndex2) | (~v90(constB11, bitIndex1)) | (~v90(constB11, bitIndex0)))))) | v122(constB11) | (v90(constB11, bitIndex2) | (~v90(constB11, bitIndex1)) | (~v90(constB11, bitIndex0)))),
% 14.09/9.38 inference(tautology,[status(thm)],[])).
% 14.09/9.38 tff(6072,plain,
% 14.09/9.38 (v122(constB11)),
% 14.09/9.38 inference(unit_resolution,[status(thm)],[6071, 6070, 4498])).
% 14.09/9.38 tff(6073,plain,
% 14.09/9.38 ((v117(constB11) | v122(constB11)) | (~v122(constB11))),
% 14.09/9.38 inference(tautology,[status(thm)],[])).
% 14.09/9.38 tff(6074,plain,
% 14.09/9.38 (v117(constB11) | v122(constB11)),
% 14.09/9.38 inference(unit_resolution,[status(thm)],[6073, 6072])).
% 14.09/9.38 tff(6075,plain,
% 14.09/9.38 ((~(v116(constB11) <=> (v117(constB11) | v122(constB11)))) | v116(constB11) | (~(v117(constB11) | v122(constB11)))),
% 14.09/9.38 inference(tautology,[status(thm)],[])).
% 14.09/9.38 tff(6076,plain,
% 14.09/9.38 (v116(constB11)),
% 14.09/9.38 inference(unit_resolution,[status(thm)],[6075, 6074, 4491])).
% 14.09/9.38 tff(6077,plain,
% 14.09/9.38 ((v116(constB11) | v123(constB11)) | (~v116(constB11))),
% 14.09/9.38 inference(tautology,[status(thm)],[])).
% 14.09/9.38 tff(6078,plain,
% 14.09/9.38 (v116(constB11) | v123(constB11)),
% 14.09/9.38 inference(unit_resolution,[status(thm)],[6077, 6076])).
% 14.09/9.38 tff(6079,plain,
% 14.09/9.38 ((~(v115(constB11) <=> (v116(constB11) | v123(constB11)))) | v115(constB11) | (~(v116(constB11) | v123(constB11)))),
% 14.09/9.38 inference(tautology,[status(thm)],[])).
% 14.09/9.38 tff(6080,plain,
% 14.09/9.38 (v115(constB11)),
% 14.09/9.38 inference(unit_resolution,[status(thm)],[6079, 6078, 4489])).
% 14.09/9.38 tff(6081,plain,
% 14.09/9.38 ((v115(constB11) | v124(constB11)) | (~v115(constB11))),
% 14.09/9.38 inference(tautology,[status(thm)],[])).
% 14.09/9.38 tff(6082,plain,
% 14.09/9.38 (v115(constB11) | v124(constB11)),
% 14.09/9.38 inference(unit_resolution,[status(thm)],[6081, 6080])).
% 14.09/9.38 tff(6083,plain,
% 14.09/9.38 ((~(v114(constB11) <=> (v115(constB11) | v124(constB11)))) | v114(constB11) | (~(v115(constB11) | v124(constB11)))),
% 14.09/9.38 inference(tautology,[status(thm)],[])).
% 14.09/9.38 tff(6084,plain,
% 14.09/9.38 (v114(constB11)),
% 14.09/9.38 inference(unit_resolution,[status(thm)],[6083, 6082, 4487])).
% 14.09/9.38 tff(6085,plain,
% 14.09/9.38 ((v114(constB11) | v125(constB11)) | (~v114(constB11))),
% 14.09/9.38 inference(tautology,[status(thm)],[])).
% 14.09/9.38 tff(6086,plain,
% 14.09/9.38 (v114(constB11) | v125(constB11)),
% 14.09/9.38 inference(unit_resolution,[status(thm)],[6085, 6084])).
% 14.09/9.38 tff(6087,plain,
% 14.09/9.38 ((~(v113(constB11) <=> (v114(constB11) | v125(constB11)))) | v113(constB11) | (~(v114(constB11) | v125(constB11)))),
% 14.09/9.38 inference(tautology,[status(thm)],[])).
% 14.09/9.38 tff(6088,plain,
% 14.09/9.38 (v113(constB11)),
% 14.09/9.38 inference(unit_resolution,[status(thm)],[6087, 6086, 4485])).
% 14.09/9.38 tff(6089,plain,
% 14.09/9.38 ((~![VarCurr: $i] : ((~v126(VarCurr)) <=> v111(VarCurr))) | ((~v126(constB11)) <=> v111(constB11))),
% 14.09/9.38 inference(quant_inst,[status(thm)],[])).
% 14.09/9.38 tff(6090,plain,
% 14.09/9.38 ((~v126(constB11)) <=> v111(constB11)),
% 14.09/9.38 inference(unit_resolution,[status(thm)],[6089, 5074])).
% 14.09/9.38 tff(6091,plain,
% 14.09/9.38 ((~![VarCurr: $i] : (v111(VarCurr) <=> v26(VarCurr))) | (v111(constB11) <=> v26(constB11))),
% 14.09/9.38 inference(quant_inst,[status(thm)],[])).
% 14.09/9.38 tff(6092,plain,
% 14.09/9.38 (v111(constB11) <=> v26(constB11)),
% 14.09/9.38 inference(unit_resolution,[status(thm)],[6091, 5086])).
% 14.09/9.38 tff(6093,plain,
% 14.09/9.38 ((~![VarCurr: $i] : (~v26(VarCurr))) | (~v26(constB11))),
% 14.09/9.38 inference(quant_inst,[status(thm)],[])).
% 14.09/9.38 tff(6094,plain,
% 14.09/9.38 (~v26(constB11)),
% 14.09/9.38 inference(unit_resolution,[status(thm)],[6093, 5098])).
% 14.09/9.38 tff(6095,plain,
% 14.09/9.38 ((~(v111(constB11) <=> v26(constB11))) | (~v111(constB11)) | v26(constB11)),
% 14.09/9.38 inference(tautology,[status(thm)],[])).
% 14.09/9.38 tff(6096,plain,
% 14.09/9.38 ((~(v111(constB11) <=> v26(constB11))) | (~v111(constB11))),
% 14.09/9.38 inference(unit_resolution,[status(thm)],[6095, 6094])).
% 14.09/9.38 tff(6097,plain,
% 14.09/9.38 (~v111(constB11)),
% 14.09/9.38 inference(unit_resolution,[status(thm)],[6096, 6092])).
% 14.09/9.38 tff(6098,plain,
% 14.09/9.38 ((~((~v126(constB11)) <=> v111(constB11))) | v126(constB11) | v111(constB11)),
% 14.09/9.38 inference(tautology,[status(thm)],[])).
% 14.09/9.38 tff(6099,plain,
% 14.09/9.38 ((~((~v126(constB11)) <=> v111(constB11))) | v126(constB11)),
% 14.09/9.38 inference(unit_resolution,[status(thm)],[6098, 6097])).
% 14.09/9.38 tff(6100,plain,
% 14.09/9.38 (v126(constB11)),
% 14.09/9.38 inference(unit_resolution,[status(thm)],[6099, 6090])).
% 14.09/9.38 tff(6101,plain,
% 14.09/9.38 ((~((~v113(constB11)) | (~v126(constB11)))) | (~v113(constB11)) | (~v126(constB11))),
% 14.09/9.38 inference(tautology,[status(thm)],[])).
% 14.09/9.38 tff(6102,plain,
% 14.09/9.38 ((~((~v113(constB11)) | (~v126(constB11)))) | (~v113(constB11))),
% 14.09/9.38 inference(unit_resolution,[status(thm)],[6101, 6100])).
% 14.09/9.38 tff(6103,plain,
% 14.09/9.38 (~((~v113(constB11)) | (~v126(constB11)))),
% 14.09/9.38 inference(unit_resolution,[status(thm)],[6102, 6088])).
% 14.09/9.38 tff(6104,plain,
% 14.09/9.38 ((~(v112(constB11) <=> (~((~v113(constB11)) | (~v126(constB11)))))) | v112(constB11) | ((~v113(constB11)) | (~v126(constB11)))),
% 14.09/9.38 inference(tautology,[status(thm)],[])).
% 14.09/9.38 tff(6105,plain,
% 14.09/9.38 (v112(constB11)),
% 14.09/9.38 inference(unit_resolution,[status(thm)],[6104, 6103, 4483])).
% 14.09/9.38 tff(6106,plain,
% 14.09/9.38 ((v111(constB11) | v112(constB11)) | (~v112(constB11))),
% 14.09/9.38 inference(tautology,[status(thm)],[])).
% 14.09/9.38 tff(6107,plain,
% 14.09/9.38 (v111(constB11) | v112(constB11)),
% 14.09/9.38 inference(unit_resolution,[status(thm)],[6106, 6105])).
% 14.09/9.38 tff(6108,plain,
% 14.09/9.38 ((~(v108(constB11) <=> (v111(constB11) | v112(constB11)))) | v108(constB11) | (~(v111(constB11) | v112(constB11)))),
% 14.09/9.38 inference(tautology,[status(thm)],[])).
% 14.09/9.38 tff(6109,plain,
% 14.09/9.38 (v108(constB11)),
% 14.09/9.38 inference(unit_resolution,[status(thm)],[6108, 6107, 4481])).
% 14.09/9.38 tff(6110,plain,
% 14.09/9.38 ((~(v110(constB12) <=> v108(constB11))) | v110(constB12) | (~v108(constB11))),
% 14.09/9.38 inference(tautology,[status(thm)],[])).
% 14.09/9.38 tff(6111,plain,
% 14.09/9.38 (v110(constB12)),
% 14.09/9.38 inference(unit_resolution,[status(thm)],[6110, 6109, 4479])).
% 14.09/9.38 tff(6112,plain,
% 14.09/9.38 ((~((~v101(constB12)) | (~v110(constB12)))) | (~v101(constB12)) | (~v110(constB12))),
% 14.09/9.38 inference(tautology,[status(thm)],[])).
% 14.09/9.38 tff(6113,plain,
% 14.09/9.38 (~((~v101(constB12)) | (~v110(constB12)))),
% 14.09/9.38 inference(unit_resolution,[status(thm)],[6112, 6111, 4475])).
% 14.09/9.38 tff(6114,plain,
% 14.09/9.38 ((~(v100(constB12) <=> (~((~v101(constB12)) | (~v110(constB12)))))) | v100(constB12) | ((~v101(constB12)) | (~v110(constB12)))),
% 14.09/9.38 inference(tautology,[status(thm)],[])).
% 14.09/9.38 tff(6115,plain,
% 14.09/9.38 (v100(constB12)),
% 14.09/9.38 inference(unit_resolution,[status(thm)],[6114, 6113, 4444])).
% 14.09/9.38 tff(6116,plain,
% 14.09/9.38 (((~![VarNext: $i] : ((~v100(VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v129(VarNext, B))))) | ((~v100(constB12)) | ![B: $i] : ((~less_3(B)) | (v90(constB12, B) <=> v129(constB12, B))))) <=> ((~![VarNext: $i] : ((~v100(VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v129(VarNext, B))))) | (~v100(constB12)) | ![B: $i] : ((~less_3(B)) | (v90(constB12, B) <=> v129(constB12, B))))),
% 14.09/9.38 inference(rewrite,[status(thm)],[])).
% 14.09/9.38 tff(6117,plain,
% 14.09/9.38 ((~![VarNext: $i] : ((~v100(VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v129(VarNext, B))))) | ((~v100(constB12)) | ![B: $i] : ((~less_3(B)) | (v90(constB12, B) <=> v129(constB12, B))))),
% 14.09/9.38 inference(quant_inst,[status(thm)],[])).
% 14.09/9.38 tff(6118,plain,
% 14.09/9.38 ((~![VarNext: $i] : ((~v100(VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v129(VarNext, B))))) | (~v100(constB12)) | ![B: $i] : ((~less_3(B)) | (v90(constB12, B) <=> v129(constB12, B)))),
% 14.09/9.38 inference(modus_ponens,[status(thm)],[6117, 6116])).
% 14.09/9.38 tff(6119,plain,
% 14.09/9.38 ((~v100(constB12)) | ![B: $i] : ((~less_3(B)) | (v90(constB12, B) <=> v129(constB12, B)))),
% 14.09/9.38 inference(unit_resolution,[status(thm)],[6118, 5134])).
% 14.09/9.38 tff(6120,plain,
% 14.09/9.38 (![B: $i] : ((~less_3(B)) | (v90(constB12, B) <=> v129(constB12, B)))),
% 14.09/9.38 inference(unit_resolution,[status(thm)],[6119, 6115])).
% 14.09/9.38 tff(6121,plain,
% 14.09/9.38 (((~![B: $i] : ((~less_3(B)) | (v90(constB12, B) <=> v129(constB12, B)))) | ((~less_3(bitIndex2)) | (v90(constB12, bitIndex2) <=> v129(constB12, bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v90(constB12, B) <=> v129(constB12, B)))) | (~less_3(bitIndex2)) | (v90(constB12, bitIndex2) <=> v129(constB12, bitIndex2)))),
% 14.09/9.38 inference(rewrite,[status(thm)],[])).
% 14.09/9.38 tff(6122,plain,
% 14.09/9.38 ((~![B: $i] : ((~less_3(B)) | (v90(constB12, B) <=> v129(constB12, B)))) | ((~less_3(bitIndex2)) | (v90(constB12, bitIndex2) <=> v129(constB12, bitIndex2)))),
% 14.09/9.38 inference(quant_inst,[status(thm)],[])).
% 14.09/9.38 tff(6123,plain,
% 14.09/9.38 ((~![B: $i] : ((~less_3(B)) | (v90(constB12, B) <=> v129(constB12, B)))) | (~less_3(bitIndex2)) | (v90(constB12, bitIndex2) <=> v129(constB12, bitIndex2))),
% 14.09/9.38 inference(modus_ponens,[status(thm)],[6122, 6121])).
% 14.09/9.38 tff(6124,plain,
% 14.09/9.38 (v90(constB12, bitIndex2) <=> v129(constB12, bitIndex2)),
% 14.09/9.38 inference(unit_resolution,[status(thm)],[6123, 413, 6120])).
% 14.09/9.38 tff(6125,plain,
% 14.09/9.38 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v129(VarNext, B) <=> v127(VarCurr, B))))) | ((~nextState(constB11, constB12)) | ![B: $i] : ((~less_3(B)) | (v129(constB12, B) <=> v127(constB11, B))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v129(VarNext, B) <=> v127(VarCurr, B))))) | (~nextState(constB11, constB12)) | ![B: $i] : ((~less_3(B)) | (v129(constB12, B) <=> v127(constB11, B))))),
% 14.09/9.38 inference(rewrite,[status(thm)],[])).
% 14.09/9.38 tff(6126,plain,
% 14.09/9.38 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v129(VarNext, B) <=> v127(VarCurr, B))))) | ((~nextState(constB11, constB12)) | ![B: $i] : ((~less_3(B)) | (v129(constB12, B) <=> v127(constB11, B))))),
% 14.09/9.38 inference(quant_inst,[status(thm)],[])).
% 14.09/9.38 tff(6127,plain,
% 14.09/9.38 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v129(VarNext, B) <=> v127(VarCurr, B))))) | (~nextState(constB11, constB12)) | ![B: $i] : ((~less_3(B)) | (v129(constB12, B) <=> v127(constB11, B)))),
% 14.09/9.38 inference(modus_ponens,[status(thm)],[6126, 6125])).
% 14.09/9.38 tff(6128,plain,
% 14.09/9.38 (![B: $i] : ((~less_3(B)) | (v129(constB12, B) <=> v127(constB11, B)))),
% 14.09/9.38 inference(unit_resolution,[status(thm)],[6127, 4440, 5156])).
% 14.09/9.38 tff(6129,plain,
% 14.09/9.38 (((~![B: $i] : ((~less_3(B)) | (v129(constB12, B) <=> v127(constB11, B)))) | ((~less_3(bitIndex2)) | (v129(constB12, bitIndex2) <=> v127(constB11, bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v129(constB12, B) <=> v127(constB11, B)))) | (~less_3(bitIndex2)) | (v129(constB12, bitIndex2) <=> v127(constB11, bitIndex2)))),
% 14.09/9.38 inference(rewrite,[status(thm)],[])).
% 14.09/9.38 tff(6130,plain,
% 14.09/9.38 ((~![B: $i] : ((~less_3(B)) | (v129(constB12, B) <=> v127(constB11, B)))) | ((~less_3(bitIndex2)) | (v129(constB12, bitIndex2) <=> v127(constB11, bitIndex2)))),
% 14.09/9.38 inference(quant_inst,[status(thm)],[])).
% 14.09/9.38 tff(6131,plain,
% 14.09/9.38 ((~![B: $i] : ((~less_3(B)) | (v129(constB12, B) <=> v127(constB11, B)))) | (~less_3(bitIndex2)) | (v129(constB12, bitIndex2) <=> v127(constB11, bitIndex2))),
% 14.09/9.38 inference(modus_ponens,[status(thm)],[6130, 6129])).
% 14.09/9.38 tff(6132,plain,
% 14.09/9.38 (v129(constB12, bitIndex2) <=> v127(constB11, bitIndex2)),
% 14.09/9.38 inference(unit_resolution,[status(thm)],[6131, 413, 6128])).
% 14.09/9.38 tff(6133,plain,
% 14.09/9.38 (((~![VarCurr: $i] : (v111(VarCurr) | ![B: $i] : ((~less_3(B)) | (v127(VarCurr, B) <=> v130(VarCurr, B))))) | (v111(constB11) | ![B: $i] : ((~less_3(B)) | (v127(constB11, B) <=> v130(constB11, B))))) <=> ((~![VarCurr: $i] : (v111(VarCurr) | ![B: $i] : ((~less_3(B)) | (v127(VarCurr, B) <=> v130(VarCurr, B))))) | v111(constB11) | ![B: $i] : ((~less_3(B)) | (v127(constB11, B) <=> v130(constB11, B))))),
% 14.09/9.38 inference(rewrite,[status(thm)],[])).
% 14.09/9.38 tff(6134,plain,
% 14.09/9.38 ((~![VarCurr: $i] : (v111(VarCurr) | ![B: $i] : ((~less_3(B)) | (v127(VarCurr, B) <=> v130(VarCurr, B))))) | (v111(constB11) | ![B: $i] : ((~less_3(B)) | (v127(constB11, B) <=> v130(constB11, B))))),
% 14.09/9.38 inference(quant_inst,[status(thm)],[])).
% 14.09/9.38 tff(6135,plain,
% 14.09/9.38 ((~![VarCurr: $i] : (v111(VarCurr) | ![B: $i] : ((~less_3(B)) | (v127(VarCurr, B) <=> v130(VarCurr, B))))) | v111(constB11) | ![B: $i] : ((~less_3(B)) | (v127(constB11, B) <=> v130(constB11, B)))),
% 14.09/9.38 inference(modus_ponens,[status(thm)],[6134, 6133])).
% 14.09/9.38 tff(6136,plain,
% 14.09/9.38 (![B: $i] : ((~less_3(B)) | (v127(constB11, B) <=> v130(constB11, B)))),
% 14.09/9.38 inference(unit_resolution,[status(thm)],[6135, 5177, 6097])).
% 14.09/9.38 tff(6137,plain,
% 14.09/9.38 (((~![B: $i] : ((~less_3(B)) | (v127(constB11, B) <=> v130(constB11, B)))) | ((~less_3(bitIndex2)) | (v127(constB11, bitIndex2) <=> v130(constB11, bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v127(constB11, B) <=> v130(constB11, B)))) | (~less_3(bitIndex2)) | (v127(constB11, bitIndex2) <=> v130(constB11, bitIndex2)))),
% 14.09/9.38 inference(rewrite,[status(thm)],[])).
% 14.09/9.38 tff(6138,plain,
% 14.09/9.38 ((~![B: $i] : ((~less_3(B)) | (v127(constB11, B) <=> v130(constB11, B)))) | ((~less_3(bitIndex2)) | (v127(constB11, bitIndex2) <=> v130(constB11, bitIndex2)))),
% 14.09/9.38 inference(quant_inst,[status(thm)],[])).
% 14.09/9.38 tff(6139,plain,
% 14.09/9.38 ((~![B: $i] : ((~less_3(B)) | (v127(constB11, B) <=> v130(constB11, B)))) | (~less_3(bitIndex2)) | (v127(constB11, bitIndex2) <=> v130(constB11, bitIndex2))),
% 14.09/9.39 inference(modus_ponens,[status(thm)],[6138, 6137])).
% 14.09/9.39 tff(6140,plain,
% 14.09/9.39 (v127(constB11, bitIndex2) <=> v130(constB11, bitIndex2)),
% 14.09/9.39 inference(unit_resolution,[status(thm)],[6139, 413, 6136])).
% 14.09/9.39 tff(6141,plain,
% 14.09/9.39 (^[VarCurr: $i] : refl(((~v122(VarCurr)) | ![B: $i] : ((~less_3(B)) | (v130(VarCurr, B) <=> b100(B)))) <=> ((~v122(VarCurr)) | ![B: $i] : ((~less_3(B)) | (v130(VarCurr, B) <=> b100(B)))))),
% 14.09/9.39 inference(bind,[status(th)],[])).
% 14.09/9.39 tff(6142,plain,
% 14.09/9.39 (![VarCurr: $i] : ((~v122(VarCurr)) | ![B: $i] : ((~less_3(B)) | (v130(VarCurr, B) <=> b100(B)))) <=> ![VarCurr: $i] : ((~v122(VarCurr)) | ![B: $i] : ((~less_3(B)) | (v130(VarCurr, B) <=> b100(B))))),
% 14.09/9.39 inference(quant_intro,[status(thm)],[6141])).
% 14.09/9.39 tff(6143,plain,
% 14.09/9.39 (^[VarCurr: $i] : rewrite(((~v122(VarCurr)) | ![B: $i] : ((~less_3(B)) | (v130(VarCurr, B) <=> b100(B)))) <=> ((~v122(VarCurr)) | ![B: $i] : ((~less_3(B)) | (v130(VarCurr, B) <=> b100(B)))))),
% 14.09/9.39 inference(bind,[status(th)],[])).
% 14.09/9.39 tff(6144,plain,
% 14.09/9.39 (![VarCurr: $i] : ((~v122(VarCurr)) | ![B: $i] : ((~less_3(B)) | (v130(VarCurr, B) <=> b100(B)))) <=> ![VarCurr: $i] : ((~v122(VarCurr)) | ![B: $i] : ((~less_3(B)) | (v130(VarCurr, B) <=> b100(B))))),
% 14.09/9.39 inference(quant_intro,[status(thm)],[6143])).
% 14.09/9.39 tff(6145,plain,
% 14.09/9.39 (![VarCurr: $i] : ((~v122(VarCurr)) | ![B: $i] : ((~less_3(B)) | (v130(VarCurr, B) <=> b100(B)))) <=> ![VarCurr: $i] : ((~v122(VarCurr)) | ![B: $i] : ((~less_3(B)) | (v130(VarCurr, B) <=> b100(B))))),
% 14.09/9.39 inference(transitivity,[status(thm)],[6144, 6142])).
% 14.09/9.39 tff(6146,plain,
% 14.09/9.39 (![VarCurr: $i] : ((~v122(VarCurr)) | ![B: $i] : ((~less_3(B)) | (v130(VarCurr, B) <=> b100(B)))) <=> ![VarCurr: $i] : ((~v122(VarCurr)) | ![B: $i] : ((~less_3(B)) | (v130(VarCurr, B) <=> b100(B))))),
% 14.09/9.39 inference(rewrite,[status(thm)],[])).
% 14.09/9.39 tff(6147,plain,
% 14.09/9.39 (^[VarCurr: $i] : trans(monotonicity(quant_intro(proof_bind(^[B: $i] : rewrite((less_3(B) => (v130(VarCurr, B) <=> b100(B))) <=> ((~less_3(B)) | (v130(VarCurr, B) <=> b100(B))))), (![B: $i] : (less_3(B) => (v130(VarCurr, B) <=> b100(B))) <=> ![B: $i] : ((~less_3(B)) | (v130(VarCurr, B) <=> b100(B))))), ((v122(VarCurr) => ![B: $i] : (less_3(B) => (v130(VarCurr, B) <=> b100(B)))) <=> (v122(VarCurr) => ![B: $i] : ((~less_3(B)) | (v130(VarCurr, B) <=> b100(B)))))), rewrite((v122(VarCurr) => ![B: $i] : ((~less_3(B)) | (v130(VarCurr, B) <=> b100(B)))) <=> ((~v122(VarCurr)) | ![B: $i] : ((~less_3(B)) | (v130(VarCurr, B) <=> b100(B))))), ((v122(VarCurr) => ![B: $i] : (less_3(B) => (v130(VarCurr, B) <=> b100(B)))) <=> ((~v122(VarCurr)) | ![B: $i] : ((~less_3(B)) | (v130(VarCurr, B) <=> b100(B))))))),
% 14.09/9.39 inference(bind,[status(th)],[])).
% 14.09/9.39 tff(6148,plain,
% 14.09/9.39 (![VarCurr: $i] : (v122(VarCurr) => ![B: $i] : (less_3(B) => (v130(VarCurr, B) <=> b100(B)))) <=> ![VarCurr: $i] : ((~v122(VarCurr)) | ![B: $i] : ((~less_3(B)) | (v130(VarCurr, B) <=> b100(B))))),
% 14.09/9.39 inference(quant_intro,[status(thm)],[6147])).
% 14.09/9.39 tff(6149,axiom,(![VarCurr: $i] : (v122(VarCurr) => ![B: $i] : (less_3(B) => (v130(VarCurr, B) <=> b100(B))))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','addParallelCaseBooleanConditionEqualRanges3')).
% 14.09/9.39 tff(6150,plain,
% 14.09/9.39 (![VarCurr: $i] : ((~v122(VarCurr)) | ![B: $i] : ((~less_3(B)) | (v130(VarCurr, B) <=> b100(B))))),
% 14.09/9.39 inference(modus_ponens,[status(thm)],[6149, 6148])).
% 14.09/9.39 tff(6151,plain,
% 14.09/9.39 (![VarCurr: $i] : ((~v122(VarCurr)) | ![B: $i] : ((~less_3(B)) | (v130(VarCurr, B) <=> b100(B))))),
% 14.09/9.39 inference(modus_ponens,[status(thm)],[6150, 6146])).
% 14.09/9.39 tff(6152,plain,(
% 14.09/9.39 ![VarCurr: $i] : ((~v122(VarCurr)) | ![B: $i] : ((~less_3(B)) | (v130(VarCurr, B) <=> b100(B))))),
% 14.09/9.39 inference(skolemize,[status(sab)],[6151])).
% 14.09/9.39 tff(6153,plain,
% 14.09/9.39 (![VarCurr: $i] : ((~v122(VarCurr)) | ![B: $i] : ((~less_3(B)) | (v130(VarCurr, B) <=> b100(B))))),
% 14.09/9.39 inference(modus_ponens,[status(thm)],[6152, 6145])).
% 14.09/9.39 tff(6154,plain,
% 14.09/9.39 (((~![VarCurr: $i] : ((~v122(VarCurr)) | ![B: $i] : ((~less_3(B)) | (v130(VarCurr, B) <=> b100(B))))) | ((~v122(constB11)) | ![B: $i] : ((~less_3(B)) | (v130(constB11, B) <=> b100(B))))) <=> ((~![VarCurr: $i] : ((~v122(VarCurr)) | ![B: $i] : ((~less_3(B)) | (v130(VarCurr, B) <=> b100(B))))) | (~v122(constB11)) | ![B: $i] : ((~less_3(B)) | (v130(constB11, B) <=> b100(B))))),
% 14.09/9.39 inference(rewrite,[status(thm)],[])).
% 14.09/9.39 tff(6155,plain,
% 14.09/9.39 ((~![VarCurr: $i] : ((~v122(VarCurr)) | ![B: $i] : ((~less_3(B)) | (v130(VarCurr, B) <=> b100(B))))) | ((~v122(constB11)) | ![B: $i] : ((~less_3(B)) | (v130(constB11, B) <=> b100(B))))),
% 14.09/9.39 inference(quant_inst,[status(thm)],[])).
% 14.09/9.39 tff(6156,plain,
% 14.09/9.39 ((~![VarCurr: $i] : ((~v122(VarCurr)) | ![B: $i] : ((~less_3(B)) | (v130(VarCurr, B) <=> b100(B))))) | (~v122(constB11)) | ![B: $i] : ((~less_3(B)) | (v130(constB11, B) <=> b100(B)))),
% 14.09/9.39 inference(modus_ponens,[status(thm)],[6155, 6154])).
% 14.09/9.39 tff(6157,plain,
% 14.09/9.39 ((~v122(constB11)) | ![B: $i] : ((~less_3(B)) | (v130(constB11, B) <=> b100(B)))),
% 14.09/9.39 inference(unit_resolution,[status(thm)],[6156, 6153])).
% 14.09/9.39 tff(6158,plain,
% 14.09/9.39 (![B: $i] : ((~less_3(B)) | (v130(constB11, B) <=> b100(B)))),
% 14.09/9.39 inference(unit_resolution,[status(thm)],[6157, 6072])).
% 14.09/9.39 tff(6159,plain,
% 14.09/9.39 (((~![B: $i] : ((~less_3(B)) | (v130(constB11, B) <=> b100(B)))) | ((~less_3(bitIndex2)) | (v130(constB11, bitIndex2) <=> b100(bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v130(constB11, B) <=> b100(B)))) | (~less_3(bitIndex2)) | (v130(constB11, bitIndex2) <=> b100(bitIndex2)))),
% 14.09/9.39 inference(rewrite,[status(thm)],[])).
% 14.09/9.39 tff(6160,plain,
% 14.09/9.39 ((~![B: $i] : ((~less_3(B)) | (v130(constB11, B) <=> b100(B)))) | ((~less_3(bitIndex2)) | (v130(constB11, bitIndex2) <=> b100(bitIndex2)))),
% 14.09/9.39 inference(quant_inst,[status(thm)],[])).
% 14.09/9.39 tff(6161,plain,
% 14.09/9.39 ((~![B: $i] : ((~less_3(B)) | (v130(constB11, B) <=> b100(B)))) | (~less_3(bitIndex2)) | (v130(constB11, bitIndex2) <=> b100(bitIndex2))),
% 14.09/9.39 inference(modus_ponens,[status(thm)],[6160, 6159])).
% 14.09/9.39 tff(6162,plain,
% 14.09/9.39 (v130(constB11, bitIndex2) <=> b100(bitIndex2)),
% 14.09/9.39 inference(unit_resolution,[status(thm)],[6161, 413, 6158])).
% 14.09/9.39 tff(6163,plain,
% 14.09/9.39 ((~(v130(constB11, bitIndex2) <=> b100(bitIndex2))) | v130(constB11, bitIndex2) | (~b100(bitIndex2))),
% 14.09/9.39 inference(tautology,[status(thm)],[])).
% 14.09/9.39 tff(6164,plain,
% 14.09/9.39 ((~(v130(constB11, bitIndex2) <=> b100(bitIndex2))) | v130(constB11, bitIndex2)),
% 14.09/9.39 inference(unit_resolution,[status(thm)],[6163, 5209])).
% 14.09/9.39 tff(6165,plain,
% 14.09/9.39 (v130(constB11, bitIndex2)),
% 14.09/9.39 inference(unit_resolution,[status(thm)],[6164, 6162])).
% 14.09/9.39 tff(6166,plain,
% 14.09/9.39 ((~(v127(constB11, bitIndex2) <=> v130(constB11, bitIndex2))) | v127(constB11, bitIndex2) | (~v130(constB11, bitIndex2))),
% 14.09/9.39 inference(tautology,[status(thm)],[])).
% 14.09/9.39 tff(6167,plain,
% 14.09/9.39 (v127(constB11, bitIndex2)),
% 14.09/9.39 inference(unit_resolution,[status(thm)],[6166, 6165, 6140])).
% 14.09/9.39 tff(6168,plain,
% 14.09/9.39 ((~(v129(constB12, bitIndex2) <=> v127(constB11, bitIndex2))) | v129(constB12, bitIndex2) | (~v127(constB11, bitIndex2))),
% 14.09/9.39 inference(tautology,[status(thm)],[])).
% 14.09/9.39 tff(6169,plain,
% 14.09/9.39 (v129(constB12, bitIndex2)),
% 14.09/9.39 inference(unit_resolution,[status(thm)],[6168, 6167, 6132])).
% 14.09/9.39 tff(6170,plain,
% 14.09/9.39 ((~(v90(constB12, bitIndex2) <=> v129(constB12, bitIndex2))) | v90(constB12, bitIndex2) | (~v129(constB12, bitIndex2))),
% 14.09/9.39 inference(tautology,[status(thm)],[])).
% 14.09/9.39 tff(6171,plain,
% 14.09/9.39 (v90(constB12, bitIndex2)),
% 14.09/9.39 inference(unit_resolution,[status(thm)],[6170, 6169, 6124])).
% 14.09/9.39 tff(6172,plain,
% 14.09/9.39 ((~(v90(constB13, bitIndex2) <=> v90(constB12, bitIndex2))) | v90(constB13, bitIndex2) | (~v90(constB12, bitIndex2))),
% 14.09/9.39 inference(tautology,[status(thm)],[])).
% 14.09/9.39 tff(6173,plain,
% 14.09/9.39 (v90(constB13, bitIndex2)),
% 14.09/9.39 inference(unit_resolution,[status(thm)],[6172, 6171, 4437])).
% 14.09/9.39 tff(6174,plain,
% 14.09/9.39 (((~![B: $i] : ((~less_3(B)) | (v90(constB13, B) <=> v90(constB12, B)))) | ((~less_3(bitIndex0)) | (v90(constB13, bitIndex0) <=> v90(constB12, bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v90(constB13, B) <=> v90(constB12, B)))) | (~less_3(bitIndex0)) | (v90(constB13, bitIndex0) <=> v90(constB12, bitIndex0)))),
% 14.09/9.39 inference(rewrite,[status(thm)],[])).
% 14.09/9.39 tff(6175,plain,
% 14.09/9.39 ((~![B: $i] : ((~less_3(B)) | (v90(constB13, B) <=> v90(constB12, B)))) | ((~less_3(bitIndex0)) | (v90(constB13, bitIndex0) <=> v90(constB12, bitIndex0)))),
% 14.09/9.39 inference(quant_inst,[status(thm)],[])).
% 14.09/9.39 tff(6176,plain,
% 14.09/9.39 ((~![B: $i] : ((~less_3(B)) | (v90(constB13, B) <=> v90(constB12, B)))) | (~less_3(bitIndex0)) | (v90(constB13, bitIndex0) <=> v90(constB12, bitIndex0))),
% 14.09/9.39 inference(modus_ponens,[status(thm)],[6175, 6174])).
% 14.09/9.39 tff(6177,plain,
% 14.09/9.39 (v90(constB13, bitIndex0) <=> v90(constB12, bitIndex0)),
% 14.09/9.39 inference(unit_resolution,[status(thm)],[6176, 5004, 4433])).
% 14.09/9.39 tff(6178,plain,
% 14.09/9.39 (((~![B: $i] : ((~less_3(B)) | (v90(constB12, B) <=> v129(constB12, B)))) | ((~less_3(bitIndex0)) | (v90(constB12, bitIndex0) <=> v129(constB12, bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v90(constB12, B) <=> v129(constB12, B)))) | (~less_3(bitIndex0)) | (v90(constB12, bitIndex0) <=> v129(constB12, bitIndex0)))),
% 14.09/9.39 inference(rewrite,[status(thm)],[])).
% 14.09/9.39 tff(6179,plain,
% 14.09/9.39 ((~![B: $i] : ((~less_3(B)) | (v90(constB12, B) <=> v129(constB12, B)))) | ((~less_3(bitIndex0)) | (v90(constB12, bitIndex0) <=> v129(constB12, bitIndex0)))),
% 14.09/9.39 inference(quant_inst,[status(thm)],[])).
% 14.09/9.39 tff(6180,plain,
% 14.09/9.39 ((~![B: $i] : ((~less_3(B)) | (v90(constB12, B) <=> v129(constB12, B)))) | (~less_3(bitIndex0)) | (v90(constB12, bitIndex0) <=> v129(constB12, bitIndex0))),
% 14.09/9.39 inference(modus_ponens,[status(thm)],[6179, 6178])).
% 14.09/9.39 tff(6181,plain,
% 14.09/9.39 (v90(constB12, bitIndex0) <=> v129(constB12, bitIndex0)),
% 14.09/9.39 inference(unit_resolution,[status(thm)],[6180, 5004, 6120])).
% 14.09/9.39 tff(6182,plain,
% 14.09/9.39 (((~![B: $i] : ((~less_3(B)) | (v129(constB12, B) <=> v127(constB11, B)))) | ((~less_3(bitIndex0)) | (v129(constB12, bitIndex0) <=> v127(constB11, bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v129(constB12, B) <=> v127(constB11, B)))) | (~less_3(bitIndex0)) | (v129(constB12, bitIndex0) <=> v127(constB11, bitIndex0)))),
% 14.09/9.39 inference(rewrite,[status(thm)],[])).
% 14.09/9.39 tff(6183,plain,
% 14.09/9.39 ((~![B: $i] : ((~less_3(B)) | (v129(constB12, B) <=> v127(constB11, B)))) | ((~less_3(bitIndex0)) | (v129(constB12, bitIndex0) <=> v127(constB11, bitIndex0)))),
% 14.09/9.39 inference(quant_inst,[status(thm)],[])).
% 14.09/9.39 tff(6184,plain,
% 14.09/9.39 ((~![B: $i] : ((~less_3(B)) | (v129(constB12, B) <=> v127(constB11, B)))) | (~less_3(bitIndex0)) | (v129(constB12, bitIndex0) <=> v127(constB11, bitIndex0))),
% 14.09/9.39 inference(modus_ponens,[status(thm)],[6183, 6182])).
% 14.09/9.39 tff(6185,plain,
% 14.09/9.39 (v129(constB12, bitIndex0) <=> v127(constB11, bitIndex0)),
% 14.09/9.39 inference(unit_resolution,[status(thm)],[6184, 5004, 6128])).
% 14.09/9.39 tff(6186,plain,
% 14.09/9.39 (((~![B: $i] : ((~less_3(B)) | (v127(constB11, B) <=> v130(constB11, B)))) | ((~less_3(bitIndex0)) | (v127(constB11, bitIndex0) <=> v130(constB11, bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v127(constB11, B) <=> v130(constB11, B)))) | (~less_3(bitIndex0)) | (v127(constB11, bitIndex0) <=> v130(constB11, bitIndex0)))),
% 14.09/9.39 inference(rewrite,[status(thm)],[])).
% 14.09/9.39 tff(6187,plain,
% 14.09/9.39 ((~![B: $i] : ((~less_3(B)) | (v127(constB11, B) <=> v130(constB11, B)))) | ((~less_3(bitIndex0)) | (v127(constB11, bitIndex0) <=> v130(constB11, bitIndex0)))),
% 14.09/9.39 inference(quant_inst,[status(thm)],[])).
% 14.09/9.39 tff(6188,plain,
% 14.09/9.39 ((~![B: $i] : ((~less_3(B)) | (v127(constB11, B) <=> v130(constB11, B)))) | (~less_3(bitIndex0)) | (v127(constB11, bitIndex0) <=> v130(constB11, bitIndex0))),
% 14.09/9.39 inference(modus_ponens,[status(thm)],[6187, 6186])).
% 14.09/9.39 tff(6189,plain,
% 14.09/9.39 (v127(constB11, bitIndex0) <=> v130(constB11, bitIndex0)),
% 14.09/9.39 inference(unit_resolution,[status(thm)],[6188, 5004, 6136])).
% 14.09/9.39 tff(6190,plain,
% 14.09/9.39 (((~![B: $i] : ((~less_3(B)) | (v130(constB11, B) <=> b100(B)))) | ((~less_3(bitIndex0)) | (v130(constB11, bitIndex0) <=> b100(bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v130(constB11, B) <=> b100(B)))) | (~less_3(bitIndex0)) | (v130(constB11, bitIndex0) <=> b100(bitIndex0)))),
% 14.09/9.39 inference(rewrite,[status(thm)],[])).
% 14.09/9.39 tff(6191,plain,
% 14.09/9.39 ((~![B: $i] : ((~less_3(B)) | (v130(constB11, B) <=> b100(B)))) | ((~less_3(bitIndex0)) | (v130(constB11, bitIndex0) <=> b100(bitIndex0)))),
% 14.09/9.39 inference(quant_inst,[status(thm)],[])).
% 14.09/9.39 tff(6192,plain,
% 14.09/9.39 ((~![B: $i] : ((~less_3(B)) | (v130(constB11, B) <=> b100(B)))) | (~less_3(bitIndex0)) | (v130(constB11, bitIndex0) <=> b100(bitIndex0))),
% 14.09/9.39 inference(modus_ponens,[status(thm)],[6191, 6190])).
% 14.09/9.39 tff(6193,plain,
% 14.09/9.39 (v130(constB11, bitIndex0) <=> b100(bitIndex0)),
% 14.09/9.39 inference(unit_resolution,[status(thm)],[6192, 5004, 6158])).
% 14.09/9.39 tff(6194,plain,
% 14.09/9.39 ((~(v130(constB11, bitIndex0) <=> b100(bitIndex0))) | (~v130(constB11, bitIndex0)) | b100(bitIndex0)),
% 14.09/9.39 inference(tautology,[status(thm)],[])).
% 14.09/9.39 tff(6195,plain,
% 14.09/9.39 ((~(v130(constB11, bitIndex0) <=> b100(bitIndex0))) | (~v130(constB11, bitIndex0))),
% 14.09/9.39 inference(unit_resolution,[status(thm)],[6194, 5243])).
% 14.09/9.39 tff(6196,plain,
% 14.09/9.39 (~v130(constB11, bitIndex0)),
% 14.09/9.39 inference(unit_resolution,[status(thm)],[6195, 6193])).
% 14.09/9.39 tff(6197,plain,
% 14.09/9.39 ((~(v127(constB11, bitIndex0) <=> v130(constB11, bitIndex0))) | (~v127(constB11, bitIndex0)) | v130(constB11, bitIndex0)),
% 14.09/9.39 inference(tautology,[status(thm)],[])).
% 14.09/9.39 tff(6198,plain,
% 14.09/9.39 (~v127(constB11, bitIndex0)),
% 14.09/9.39 inference(unit_resolution,[status(thm)],[6197, 6196, 6189])).
% 14.09/9.39 tff(6199,plain,
% 14.09/9.39 ((~(v129(constB12, bitIndex0) <=> v127(constB11, bitIndex0))) | (~v129(constB12, bitIndex0)) | v127(constB11, bitIndex0)),
% 14.09/9.39 inference(tautology,[status(thm)],[])).
% 14.09/9.39 tff(6200,plain,
% 14.09/9.39 (~v129(constB12, bitIndex0)),
% 14.09/9.39 inference(unit_resolution,[status(thm)],[6199, 6198, 6185])).
% 14.09/9.39 tff(6201,plain,
% 14.09/9.39 ((~(v90(constB12, bitIndex0) <=> v129(constB12, bitIndex0))) | (~v90(constB12, bitIndex0)) | v129(constB12, bitIndex0)),
% 14.09/9.39 inference(tautology,[status(thm)],[])).
% 14.09/9.39 tff(6202,plain,
% 14.09/9.39 (~v90(constB12, bitIndex0)),
% 14.09/9.39 inference(unit_resolution,[status(thm)],[6201, 6200, 6181])).
% 14.09/9.39 tff(6203,plain,
% 14.09/9.39 ((~(v90(constB13, bitIndex0) <=> v90(constB12, bitIndex0))) | (~v90(constB13, bitIndex0)) | v90(constB12, bitIndex0)),
% 14.09/9.39 inference(tautology,[status(thm)],[])).
% 14.09/9.39 tff(6204,plain,
% 14.09/9.39 (~v90(constB13, bitIndex0)),
% 14.09/9.39 inference(unit_resolution,[status(thm)],[6203, 6202, 6177])).
% 14.09/9.39 tff(6205,plain,
% 14.09/9.39 (((~![B: $i] : ((~less_3(B)) | (v90(constB13, B) <=> v90(constB12, B)))) | ((~less_3(bitIndex1)) | (v90(constB13, bitIndex1) <=> v90(constB12, bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v90(constB13, B) <=> v90(constB12, B)))) | (~less_3(bitIndex1)) | (v90(constB13, bitIndex1) <=> v90(constB12, bitIndex1)))),
% 14.09/9.39 inference(rewrite,[status(thm)],[])).
% 14.09/9.39 tff(6206,plain,
% 14.09/9.39 ((~![B: $i] : ((~less_3(B)) | (v90(constB13, B) <=> v90(constB12, B)))) | ((~less_3(bitIndex1)) | (v90(constB13, bitIndex1) <=> v90(constB12, bitIndex1)))),
% 14.09/9.39 inference(quant_inst,[status(thm)],[])).
% 14.09/9.39 tff(6207,plain,
% 14.09/9.39 ((~![B: $i] : ((~less_3(B)) | (v90(constB13, B) <=> v90(constB12, B)))) | (~less_3(bitIndex1)) | (v90(constB13, bitIndex1) <=> v90(constB12, bitIndex1))),
% 14.09/9.39 inference(modus_ponens,[status(thm)],[6206, 6205])).
% 14.09/9.39 tff(6208,plain,
% 14.09/9.39 (v90(constB13, bitIndex1) <=> v90(constB12, bitIndex1)),
% 14.09/9.39 inference(unit_resolution,[status(thm)],[6207, 5017, 4433])).
% 14.09/9.39 tff(6209,plain,
% 14.09/9.39 (((~![B: $i] : ((~less_3(B)) | (v90(constB12, B) <=> v129(constB12, B)))) | ((~less_3(bitIndex1)) | (v90(constB12, bitIndex1) <=> v129(constB12, bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v90(constB12, B) <=> v129(constB12, B)))) | (~less_3(bitIndex1)) | (v90(constB12, bitIndex1) <=> v129(constB12, bitIndex1)))),
% 14.09/9.39 inference(rewrite,[status(thm)],[])).
% 14.09/9.39 tff(6210,plain,
% 14.09/9.39 ((~![B: $i] : ((~less_3(B)) | (v90(constB12, B) <=> v129(constB12, B)))) | ((~less_3(bitIndex1)) | (v90(constB12, bitIndex1) <=> v129(constB12, bitIndex1)))),
% 14.09/9.39 inference(quant_inst,[status(thm)],[])).
% 14.09/9.39 tff(6211,plain,
% 14.09/9.39 ((~![B: $i] : ((~less_3(B)) | (v90(constB12, B) <=> v129(constB12, B)))) | (~less_3(bitIndex1)) | (v90(constB12, bitIndex1) <=> v129(constB12, bitIndex1))),
% 14.09/9.39 inference(modus_ponens,[status(thm)],[6210, 6209])).
% 14.09/9.39 tff(6212,plain,
% 14.09/9.39 (v90(constB12, bitIndex1) <=> v129(constB12, bitIndex1)),
% 14.09/9.39 inference(unit_resolution,[status(thm)],[6211, 5017, 6120])).
% 14.09/9.39 tff(6213,plain,
% 14.09/9.39 (((~![B: $i] : ((~less_3(B)) | (v129(constB12, B) <=> v127(constB11, B)))) | ((~less_3(bitIndex1)) | (v129(constB12, bitIndex1) <=> v127(constB11, bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v129(constB12, B) <=> v127(constB11, B)))) | (~less_3(bitIndex1)) | (v129(constB12, bitIndex1) <=> v127(constB11, bitIndex1)))),
% 14.09/9.39 inference(rewrite,[status(thm)],[])).
% 14.09/9.39 tff(6214,plain,
% 14.09/9.39 ((~![B: $i] : ((~less_3(B)) | (v129(constB12, B) <=> v127(constB11, B)))) | ((~less_3(bitIndex1)) | (v129(constB12, bitIndex1) <=> v127(constB11, bitIndex1)))),
% 14.09/9.39 inference(quant_inst,[status(thm)],[])).
% 14.09/9.39 tff(6215,plain,
% 14.09/9.39 ((~![B: $i] : ((~less_3(B)) | (v129(constB12, B) <=> v127(constB11, B)))) | (~less_3(bitIndex1)) | (v129(constB12, bitIndex1) <=> v127(constB11, bitIndex1))),
% 14.09/9.39 inference(modus_ponens,[status(thm)],[6214, 6213])).
% 14.09/9.39 tff(6216,plain,
% 14.09/9.39 (v129(constB12, bitIndex1) <=> v127(constB11, bitIndex1)),
% 14.09/9.39 inference(unit_resolution,[status(thm)],[6215, 5017, 6128])).
% 14.09/9.39 tff(6217,plain,
% 14.09/9.39 (((~![B: $i] : ((~less_3(B)) | (v127(constB11, B) <=> v130(constB11, B)))) | ((~less_3(bitIndex1)) | (v127(constB11, bitIndex1) <=> v130(constB11, bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v127(constB11, B) <=> v130(constB11, B)))) | (~less_3(bitIndex1)) | (v127(constB11, bitIndex1) <=> v130(constB11, bitIndex1)))),
% 14.09/9.39 inference(rewrite,[status(thm)],[])).
% 14.09/9.39 tff(6218,plain,
% 14.09/9.39 ((~![B: $i] : ((~less_3(B)) | (v127(constB11, B) <=> v130(constB11, B)))) | ((~less_3(bitIndex1)) | (v127(constB11, bitIndex1) <=> v130(constB11, bitIndex1)))),
% 14.09/9.39 inference(quant_inst,[status(thm)],[])).
% 14.09/9.39 tff(6219,plain,
% 14.09/9.39 ((~![B: $i] : ((~less_3(B)) | (v127(constB11, B) <=> v130(constB11, B)))) | (~less_3(bitIndex1)) | (v127(constB11, bitIndex1) <=> v130(constB11, bitIndex1))),
% 14.09/9.39 inference(modus_ponens,[status(thm)],[6218, 6217])).
% 14.09/9.39 tff(6220,plain,
% 14.09/9.39 (v127(constB11, bitIndex1) <=> v130(constB11, bitIndex1)),
% 14.09/9.39 inference(unit_resolution,[status(thm)],[6219, 5017, 6136])).
% 14.09/9.39 tff(6221,plain,
% 14.09/9.39 (((~![B: $i] : ((~less_3(B)) | (v130(constB11, B) <=> b100(B)))) | ((~less_3(bitIndex1)) | (v130(constB11, bitIndex1) <=> b100(bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v130(constB11, B) <=> b100(B)))) | (~less_3(bitIndex1)) | (v130(constB11, bitIndex1) <=> b100(bitIndex1)))),
% 14.09/9.39 inference(rewrite,[status(thm)],[])).
% 14.09/9.39 tff(6222,plain,
% 14.09/9.39 ((~![B: $i] : ((~less_3(B)) | (v130(constB11, B) <=> b100(B)))) | ((~less_3(bitIndex1)) | (v130(constB11, bitIndex1) <=> b100(bitIndex1)))),
% 14.09/9.39 inference(quant_inst,[status(thm)],[])).
% 14.09/9.39 tff(6223,plain,
% 14.09/9.39 ((~![B: $i] : ((~less_3(B)) | (v130(constB11, B) <=> b100(B)))) | (~less_3(bitIndex1)) | (v130(constB11, bitIndex1) <=> b100(bitIndex1))),
% 14.09/9.39 inference(modus_ponens,[status(thm)],[6222, 6221])).
% 14.09/9.39 tff(6224,plain,
% 14.09/9.39 (v130(constB11, bitIndex1) <=> b100(bitIndex1)),
% 14.09/9.39 inference(unit_resolution,[status(thm)],[6223, 5017, 6158])).
% 14.09/9.39 tff(6225,plain,
% 14.09/9.39 ((~(v130(constB11, bitIndex1) <=> b100(bitIndex1))) | (~v130(constB11, bitIndex1)) | b100(bitIndex1)),
% 14.09/9.39 inference(tautology,[status(thm)],[])).
% 14.09/9.39 tff(6226,plain,
% 14.09/9.39 ((~(v130(constB11, bitIndex1) <=> b100(bitIndex1))) | (~v130(constB11, bitIndex1))),
% 14.09/9.39 inference(unit_resolution,[status(thm)],[6225, 5277])).
% 14.09/9.39 tff(6227,plain,
% 14.09/9.39 (~v130(constB11, bitIndex1)),
% 14.09/9.39 inference(unit_resolution,[status(thm)],[6226, 6224])).
% 14.09/9.39 tff(6228,plain,
% 14.09/9.39 ((~(v127(constB11, bitIndex1) <=> v130(constB11, bitIndex1))) | (~v127(constB11, bitIndex1)) | v130(constB11, bitIndex1)),
% 14.09/9.39 inference(tautology,[status(thm)],[])).
% 14.09/9.39 tff(6229,plain,
% 14.09/9.39 (~v127(constB11, bitIndex1)),
% 14.09/9.39 inference(unit_resolution,[status(thm)],[6228, 6227, 6220])).
% 14.09/9.39 tff(6230,plain,
% 14.09/9.39 ((~(v129(constB12, bitIndex1) <=> v127(constB11, bitIndex1))) | (~v129(constB12, bitIndex1)) | v127(constB11, bitIndex1)),
% 14.09/9.39 inference(tautology,[status(thm)],[])).
% 14.09/9.39 tff(6231,plain,
% 14.09/9.39 (~v129(constB12, bitIndex1)),
% 14.09/9.39 inference(unit_resolution,[status(thm)],[6230, 6229, 6216])).
% 14.09/9.39 tff(6232,plain,
% 14.09/9.39 ((~(v90(constB12, bitIndex1) <=> v129(constB12, bitIndex1))) | (~v90(constB12, bitIndex1)) | v129(constB12, bitIndex1)),
% 14.09/9.39 inference(tautology,[status(thm)],[])).
% 14.09/9.39 tff(6233,plain,
% 14.09/9.39 (~v90(constB12, bitIndex1)),
% 14.09/9.39 inference(unit_resolution,[status(thm)],[6232, 6231, 6212])).
% 14.09/9.39 tff(6234,plain,
% 14.09/9.39 ((~(v90(constB13, bitIndex1) <=> v90(constB12, bitIndex1))) | (~v90(constB13, bitIndex1)) | v90(constB12, bitIndex1)),
% 14.19/9.39 inference(tautology,[status(thm)],[])).
% 14.19/9.39 tff(6235,plain,
% 14.19/9.39 (~v90(constB13, bitIndex1)),
% 14.19/9.39 inference(unit_resolution,[status(thm)],[6234, 6233, 6208])).
% 14.19/9.39 tff(6236,plain,
% 14.19/9.39 ((~((~v90(constB13, bitIndex2)) | v90(constB13, bitIndex1) | v90(constB13, bitIndex0))) | (~v90(constB13, bitIndex2)) | v90(constB13, bitIndex1) | v90(constB13, bitIndex0)),
% 14.19/9.39 inference(tautology,[status(thm)],[])).
% 14.19/9.39 tff(6237,plain,
% 14.19/9.39 (~((~v90(constB13, bitIndex2)) | v90(constB13, bitIndex1) | v90(constB13, bitIndex0))),
% 14.19/9.39 inference(unit_resolution,[status(thm)],[6236, 6235, 6204, 6173])).
% 14.19/9.39 tff(6238,plain,
% 14.19/9.39 ((~(v123(constB13) <=> (~((~v90(constB13, bitIndex2)) | v90(constB13, bitIndex1) | v90(constB13, bitIndex0))))) | v123(constB13) | ((~v90(constB13, bitIndex2)) | v90(constB13, bitIndex1) | v90(constB13, bitIndex0))),
% 14.19/9.39 inference(tautology,[status(thm)],[])).
% 14.19/9.39 tff(6239,plain,
% 14.19/9.39 (v123(constB13)),
% 14.19/9.39 inference(unit_resolution,[status(thm)],[6238, 6237, 4405])).
% 14.19/9.39 tff(6240,plain,
% 14.19/9.39 ((v116(constB13) | v123(constB13)) | (~v123(constB13))),
% 14.19/9.39 inference(tautology,[status(thm)],[])).
% 14.19/9.39 tff(6241,plain,
% 14.19/9.39 (v116(constB13) | v123(constB13)),
% 14.19/9.39 inference(unit_resolution,[status(thm)],[6240, 6239])).
% 14.19/9.39 tff(6242,plain,
% 14.19/9.39 ((~(v115(constB13) <=> (v116(constB13) | v123(constB13)))) | v115(constB13) | (~(v116(constB13) | v123(constB13)))),
% 14.19/9.39 inference(tautology,[status(thm)],[])).
% 14.19/9.39 tff(6243,plain,
% 14.19/9.39 (v115(constB13)),
% 14.19/9.39 inference(unit_resolution,[status(thm)],[6242, 6241, 4398])).
% 14.19/9.39 tff(6244,plain,
% 14.19/9.39 ((v115(constB13) | v124(constB13)) | (~v115(constB13))),
% 14.19/9.39 inference(tautology,[status(thm)],[])).
% 14.19/9.39 tff(6245,plain,
% 14.19/9.39 (v115(constB13) | v124(constB13)),
% 14.19/9.39 inference(unit_resolution,[status(thm)],[6244, 6243])).
% 14.19/9.39 tff(6246,plain,
% 14.19/9.39 ((~(v114(constB13) <=> (v115(constB13) | v124(constB13)))) | v114(constB13) | (~(v115(constB13) | v124(constB13)))),
% 14.19/9.39 inference(tautology,[status(thm)],[])).
% 14.19/9.39 tff(6247,plain,
% 14.19/9.39 (v114(constB13)),
% 14.19/9.39 inference(unit_resolution,[status(thm)],[6246, 6245, 4396])).
% 14.19/9.39 tff(6248,plain,
% 14.19/9.39 ((v114(constB13) | v125(constB13)) | (~v114(constB13))),
% 14.19/9.39 inference(tautology,[status(thm)],[])).
% 14.19/9.39 tff(6249,plain,
% 14.19/9.39 (v114(constB13) | v125(constB13)),
% 14.19/9.39 inference(unit_resolution,[status(thm)],[6248, 6247])).
% 14.19/9.39 tff(6250,plain,
% 14.19/9.39 ((~(v113(constB13) <=> (v114(constB13) | v125(constB13)))) | v113(constB13) | (~(v114(constB13) | v125(constB13)))),
% 14.19/9.39 inference(tautology,[status(thm)],[])).
% 14.19/9.39 tff(6251,plain,
% 14.19/9.39 (v113(constB13)),
% 14.19/9.39 inference(unit_resolution,[status(thm)],[6250, 6249, 4394])).
% 14.19/9.39 tff(6252,plain,
% 14.19/9.39 ((~![VarCurr: $i] : ((~v126(VarCurr)) <=> v111(VarCurr))) | ((~v126(constB13)) <=> v111(constB13))),
% 14.19/9.39 inference(quant_inst,[status(thm)],[])).
% 14.19/9.39 tff(6253,plain,
% 14.19/9.39 ((~v126(constB13)) <=> v111(constB13)),
% 14.19/9.39 inference(unit_resolution,[status(thm)],[6252, 5074])).
% 14.19/9.39 tff(6254,plain,
% 14.19/9.39 ((~![VarCurr: $i] : (v111(VarCurr) <=> v26(VarCurr))) | (v111(constB13) <=> v26(constB13))),
% 14.19/9.39 inference(quant_inst,[status(thm)],[])).
% 14.19/9.39 tff(6255,plain,
% 14.19/9.39 (v111(constB13) <=> v26(constB13)),
% 14.19/9.39 inference(unit_resolution,[status(thm)],[6254, 5086])).
% 14.19/9.39 tff(6256,plain,
% 14.19/9.39 ((~![VarCurr: $i] : (~v26(VarCurr))) | (~v26(constB13))),
% 14.19/9.39 inference(quant_inst,[status(thm)],[])).
% 14.19/9.39 tff(6257,plain,
% 14.19/9.39 (~v26(constB13)),
% 14.19/9.39 inference(unit_resolution,[status(thm)],[6256, 5098])).
% 14.19/9.39 tff(6258,plain,
% 14.19/9.39 ((~(v111(constB13) <=> v26(constB13))) | (~v111(constB13)) | v26(constB13)),
% 14.19/9.39 inference(tautology,[status(thm)],[])).
% 14.19/9.39 tff(6259,plain,
% 14.19/9.39 ((~(v111(constB13) <=> v26(constB13))) | (~v111(constB13))),
% 14.19/9.39 inference(unit_resolution,[status(thm)],[6258, 6257])).
% 14.19/9.39 tff(6260,plain,
% 14.19/9.39 (~v111(constB13)),
% 14.19/9.39 inference(unit_resolution,[status(thm)],[6259, 6255])).
% 14.19/9.39 tff(6261,plain,
% 14.19/9.39 ((~((~v126(constB13)) <=> v111(constB13))) | v126(constB13) | v111(constB13)),
% 14.19/9.39 inference(tautology,[status(thm)],[])).
% 14.19/9.39 tff(6262,plain,
% 14.19/9.39 ((~((~v126(constB13)) <=> v111(constB13))) | v126(constB13)),
% 14.19/9.39 inference(unit_resolution,[status(thm)],[6261, 6260])).
% 14.19/9.39 tff(6263,plain,
% 14.19/9.39 (v126(constB13)),
% 14.19/9.39 inference(unit_resolution,[status(thm)],[6262, 6253])).
% 14.19/9.39 tff(6264,plain,
% 14.19/9.39 ((~((~v113(constB13)) | (~v126(constB13)))) | (~v113(constB13)) | (~v126(constB13))),
% 14.19/9.39 inference(tautology,[status(thm)],[])).
% 14.19/9.39 tff(6265,plain,
% 14.19/9.39 ((~((~v113(constB13)) | (~v126(constB13)))) | (~v113(constB13))),
% 14.19/9.39 inference(unit_resolution,[status(thm)],[6264, 6263])).
% 14.19/9.39 tff(6266,plain,
% 14.19/9.39 (~((~v113(constB13)) | (~v126(constB13)))),
% 14.19/9.39 inference(unit_resolution,[status(thm)],[6265, 6251])).
% 14.19/9.39 tff(6267,plain,
% 14.19/9.39 ((~(v112(constB13) <=> (~((~v113(constB13)) | (~v126(constB13)))))) | v112(constB13) | ((~v113(constB13)) | (~v126(constB13)))),
% 14.19/9.39 inference(tautology,[status(thm)],[])).
% 14.19/9.39 tff(6268,plain,
% 14.19/9.39 (v112(constB13)),
% 14.19/9.39 inference(unit_resolution,[status(thm)],[6267, 6266, 4392])).
% 14.19/9.39 tff(6269,plain,
% 14.19/9.39 ((v111(constB13) | v112(constB13)) | (~v112(constB13))),
% 14.19/9.39 inference(tautology,[status(thm)],[])).
% 14.19/9.39 tff(6270,plain,
% 14.19/9.39 (v111(constB13) | v112(constB13)),
% 14.19/9.39 inference(unit_resolution,[status(thm)],[6269, 6268])).
% 14.19/9.39 tff(6271,plain,
% 14.19/9.39 ((~(v108(constB13) <=> (v111(constB13) | v112(constB13)))) | v108(constB13) | (~(v111(constB13) | v112(constB13)))),
% 14.19/9.39 inference(tautology,[status(thm)],[])).
% 14.19/9.39 tff(6272,plain,
% 14.19/9.39 (v108(constB13)),
% 14.19/9.39 inference(unit_resolution,[status(thm)],[6271, 6270, 4390])).
% 14.19/9.39 tff(6273,plain,
% 14.19/9.39 ((~(v110(constB14) <=> v108(constB13))) | v110(constB14) | (~v108(constB13))),
% 14.19/9.39 inference(tautology,[status(thm)],[])).
% 14.19/9.39 tff(6274,plain,
% 14.19/9.39 (v110(constB14)),
% 14.19/9.39 inference(unit_resolution,[status(thm)],[6273, 6272, 4388])).
% 14.19/9.39 tff(6275,plain,
% 14.19/9.39 ((~((~v101(constB14)) | (~v110(constB14)))) | (~v101(constB14)) | (~v110(constB14))),
% 14.19/9.39 inference(tautology,[status(thm)],[])).
% 14.19/9.39 tff(6276,plain,
% 14.19/9.39 (~((~v101(constB14)) | (~v110(constB14)))),
% 14.19/9.39 inference(unit_resolution,[status(thm)],[6275, 6274, 4384])).
% 14.19/9.39 tff(6277,plain,
% 14.19/9.39 ((~(v100(constB14) <=> (~((~v101(constB14)) | (~v110(constB14)))))) | v100(constB14) | ((~v101(constB14)) | (~v110(constB14)))),
% 14.19/9.39 inference(tautology,[status(thm)],[])).
% 14.19/9.39 tff(6278,plain,
% 14.19/9.39 (v100(constB14)),
% 14.19/9.39 inference(unit_resolution,[status(thm)],[6277, 6276, 4353])).
% 14.19/9.39 tff(6279,plain,
% 14.19/9.39 (((~![VarNext: $i] : ((~v100(VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v129(VarNext, B))))) | ((~v100(constB14)) | ![B: $i] : ((~less_3(B)) | (v90(constB14, B) <=> v129(constB14, B))))) <=> ((~![VarNext: $i] : ((~v100(VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v129(VarNext, B))))) | (~v100(constB14)) | ![B: $i] : ((~less_3(B)) | (v90(constB14, B) <=> v129(constB14, B))))),
% 14.19/9.39 inference(rewrite,[status(thm)],[])).
% 14.19/9.39 tff(6280,plain,
% 14.19/9.39 ((~![VarNext: $i] : ((~v100(VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v129(VarNext, B))))) | ((~v100(constB14)) | ![B: $i] : ((~less_3(B)) | (v90(constB14, B) <=> v129(constB14, B))))),
% 14.19/9.39 inference(quant_inst,[status(thm)],[])).
% 14.19/9.39 tff(6281,plain,
% 14.19/9.39 ((~![VarNext: $i] : ((~v100(VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v129(VarNext, B))))) | (~v100(constB14)) | ![B: $i] : ((~less_3(B)) | (v90(constB14, B) <=> v129(constB14, B)))),
% 14.19/9.39 inference(modus_ponens,[status(thm)],[6280, 6279])).
% 14.19/9.39 tff(6282,plain,
% 14.19/9.39 ((~v100(constB14)) | ![B: $i] : ((~less_3(B)) | (v90(constB14, B) <=> v129(constB14, B)))),
% 14.19/9.39 inference(unit_resolution,[status(thm)],[6281, 5134])).
% 14.19/9.39 tff(6283,plain,
% 14.19/9.39 (![B: $i] : ((~less_3(B)) | (v90(constB14, B) <=> v129(constB14, B)))),
% 14.19/9.39 inference(unit_resolution,[status(thm)],[6282, 6278])).
% 14.19/9.39 tff(6284,plain,
% 14.19/9.39 (((~![B: $i] : ((~less_3(B)) | (v90(constB14, B) <=> v129(constB14, B)))) | ((~less_3(bitIndex2)) | (v90(constB14, bitIndex2) <=> v129(constB14, bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v90(constB14, B) <=> v129(constB14, B)))) | (~less_3(bitIndex2)) | (v90(constB14, bitIndex2) <=> v129(constB14, bitIndex2)))),
% 14.19/9.39 inference(rewrite,[status(thm)],[])).
% 14.19/9.39 tff(6285,plain,
% 14.19/9.39 ((~![B: $i] : ((~less_3(B)) | (v90(constB14, B) <=> v129(constB14, B)))) | ((~less_3(bitIndex2)) | (v90(constB14, bitIndex2) <=> v129(constB14, bitIndex2)))),
% 14.19/9.39 inference(quant_inst,[status(thm)],[])).
% 14.19/9.39 tff(6286,plain,
% 14.19/9.39 ((~![B: $i] : ((~less_3(B)) | (v90(constB14, B) <=> v129(constB14, B)))) | (~less_3(bitIndex2)) | (v90(constB14, bitIndex2) <=> v129(constB14, bitIndex2))),
% 14.19/9.40 inference(modus_ponens,[status(thm)],[6285, 6284])).
% 14.19/9.40 tff(6287,plain,
% 14.19/9.40 (v90(constB14, bitIndex2) <=> v129(constB14, bitIndex2)),
% 14.19/9.40 inference(unit_resolution,[status(thm)],[6286, 413, 6283])).
% 14.19/9.40 tff(6288,plain,
% 14.19/9.40 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v129(VarNext, B) <=> v127(VarCurr, B))))) | ((~nextState(constB13, constB14)) | ![B: $i] : ((~less_3(B)) | (v129(constB14, B) <=> v127(constB13, B))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v129(VarNext, B) <=> v127(VarCurr, B))))) | (~nextState(constB13, constB14)) | ![B: $i] : ((~less_3(B)) | (v129(constB14, B) <=> v127(constB13, B))))),
% 14.19/9.40 inference(rewrite,[status(thm)],[])).
% 14.19/9.40 tff(6289,plain,
% 14.19/9.40 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v129(VarNext, B) <=> v127(VarCurr, B))))) | ((~nextState(constB13, constB14)) | ![B: $i] : ((~less_3(B)) | (v129(constB14, B) <=> v127(constB13, B))))),
% 14.19/9.40 inference(quant_inst,[status(thm)],[])).
% 14.19/9.40 tff(6290,plain,
% 14.19/9.40 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v129(VarNext, B) <=> v127(VarCurr, B))))) | (~nextState(constB13, constB14)) | ![B: $i] : ((~less_3(B)) | (v129(constB14, B) <=> v127(constB13, B)))),
% 14.19/9.40 inference(modus_ponens,[status(thm)],[6289, 6288])).
% 14.19/9.40 tff(6291,plain,
% 14.19/9.40 (![B: $i] : ((~less_3(B)) | (v129(constB14, B) <=> v127(constB13, B)))),
% 14.19/9.40 inference(unit_resolution,[status(thm)],[6290, 4349, 5156])).
% 14.19/9.40 tff(6292,plain,
% 14.19/9.40 (((~![B: $i] : ((~less_3(B)) | (v129(constB14, B) <=> v127(constB13, B)))) | ((~less_3(bitIndex2)) | (v129(constB14, bitIndex2) <=> v127(constB13, bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v129(constB14, B) <=> v127(constB13, B)))) | (~less_3(bitIndex2)) | (v129(constB14, bitIndex2) <=> v127(constB13, bitIndex2)))),
% 14.19/9.40 inference(rewrite,[status(thm)],[])).
% 14.19/9.40 tff(6293,plain,
% 14.19/9.40 ((~![B: $i] : ((~less_3(B)) | (v129(constB14, B) <=> v127(constB13, B)))) | ((~less_3(bitIndex2)) | (v129(constB14, bitIndex2) <=> v127(constB13, bitIndex2)))),
% 14.19/9.40 inference(quant_inst,[status(thm)],[])).
% 14.19/9.40 tff(6294,plain,
% 14.19/9.40 ((~![B: $i] : ((~less_3(B)) | (v129(constB14, B) <=> v127(constB13, B)))) | (~less_3(bitIndex2)) | (v129(constB14, bitIndex2) <=> v127(constB13, bitIndex2))),
% 14.19/9.40 inference(modus_ponens,[status(thm)],[6293, 6292])).
% 14.19/9.40 tff(6295,plain,
% 14.19/9.40 (v129(constB14, bitIndex2) <=> v127(constB13, bitIndex2)),
% 14.19/9.40 inference(unit_resolution,[status(thm)],[6294, 413, 6291])).
% 14.19/9.40 tff(6296,plain,
% 14.19/9.40 (((~![VarCurr: $i] : (v111(VarCurr) | ![B: $i] : ((~less_3(B)) | (v127(VarCurr, B) <=> v130(VarCurr, B))))) | (v111(constB13) | ![B: $i] : ((~less_3(B)) | (v127(constB13, B) <=> v130(constB13, B))))) <=> ((~![VarCurr: $i] : (v111(VarCurr) | ![B: $i] : ((~less_3(B)) | (v127(VarCurr, B) <=> v130(VarCurr, B))))) | v111(constB13) | ![B: $i] : ((~less_3(B)) | (v127(constB13, B) <=> v130(constB13, B))))),
% 14.19/9.40 inference(rewrite,[status(thm)],[])).
% 14.19/9.40 tff(6297,plain,
% 14.19/9.40 ((~![VarCurr: $i] : (v111(VarCurr) | ![B: $i] : ((~less_3(B)) | (v127(VarCurr, B) <=> v130(VarCurr, B))))) | (v111(constB13) | ![B: $i] : ((~less_3(B)) | (v127(constB13, B) <=> v130(constB13, B))))),
% 14.19/9.40 inference(quant_inst,[status(thm)],[])).
% 14.19/9.40 tff(6298,plain,
% 14.19/9.40 ((~![VarCurr: $i] : (v111(VarCurr) | ![B: $i] : ((~less_3(B)) | (v127(VarCurr, B) <=> v130(VarCurr, B))))) | v111(constB13) | ![B: $i] : ((~less_3(B)) | (v127(constB13, B) <=> v130(constB13, B)))),
% 14.19/9.40 inference(modus_ponens,[status(thm)],[6297, 6296])).
% 14.19/9.40 tff(6299,plain,
% 14.19/9.40 (![B: $i] : ((~less_3(B)) | (v127(constB13, B) <=> v130(constB13, B)))),
% 14.19/9.40 inference(unit_resolution,[status(thm)],[6298, 5177, 6260])).
% 14.19/9.40 tff(6300,plain,
% 14.19/9.40 (((~![B: $i] : ((~less_3(B)) | (v127(constB13, B) <=> v130(constB13, B)))) | ((~less_3(bitIndex2)) | (v127(constB13, bitIndex2) <=> v130(constB13, bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v127(constB13, B) <=> v130(constB13, B)))) | (~less_3(bitIndex2)) | (v127(constB13, bitIndex2) <=> v130(constB13, bitIndex2)))),
% 14.20/9.40 inference(rewrite,[status(thm)],[])).
% 14.20/9.40 tff(6301,plain,
% 14.20/9.40 ((~![B: $i] : ((~less_3(B)) | (v127(constB13, B) <=> v130(constB13, B)))) | ((~less_3(bitIndex2)) | (v127(constB13, bitIndex2) <=> v130(constB13, bitIndex2)))),
% 14.20/9.40 inference(quant_inst,[status(thm)],[])).
% 14.20/9.40 tff(6302,plain,
% 14.20/9.40 ((~![B: $i] : ((~less_3(B)) | (v127(constB13, B) <=> v130(constB13, B)))) | (~less_3(bitIndex2)) | (v127(constB13, bitIndex2) <=> v130(constB13, bitIndex2))),
% 14.20/9.40 inference(modus_ponens,[status(thm)],[6301, 6300])).
% 14.20/9.40 tff(6303,plain,
% 14.20/9.40 (v127(constB13, bitIndex2) <=> v130(constB13, bitIndex2)),
% 14.20/9.40 inference(unit_resolution,[status(thm)],[6302, 413, 6299])).
% 14.20/9.40 tff(6304,plain,
% 14.20/9.40 (((~![VarCurr: $i] : ((~v123(VarCurr)) | ![B: $i] : ((~less_3(B)) | (v130(VarCurr, B) <=> b110(B))))) | ((~v123(constB13)) | ![B: $i] : ((~less_3(B)) | (v130(constB13, B) <=> b110(B))))) <=> ((~![VarCurr: $i] : ((~v123(VarCurr)) | ![B: $i] : ((~less_3(B)) | (v130(VarCurr, B) <=> b110(B))))) | (~v123(constB13)) | ![B: $i] : ((~less_3(B)) | (v130(constB13, B) <=> b110(B))))),
% 14.20/9.40 inference(rewrite,[status(thm)],[])).
% 14.20/9.40 tff(6305,plain,
% 14.20/9.40 ((~![VarCurr: $i] : ((~v123(VarCurr)) | ![B: $i] : ((~less_3(B)) | (v130(VarCurr, B) <=> b110(B))))) | ((~v123(constB13)) | ![B: $i] : ((~less_3(B)) | (v130(constB13, B) <=> b110(B))))),
% 14.20/9.40 inference(quant_inst,[status(thm)],[])).
% 14.20/9.40 tff(6306,plain,
% 14.20/9.40 ((~![VarCurr: $i] : ((~v123(VarCurr)) | ![B: $i] : ((~less_3(B)) | (v130(VarCurr, B) <=> b110(B))))) | (~v123(constB13)) | ![B: $i] : ((~less_3(B)) | (v130(constB13, B) <=> b110(B)))),
% 14.20/9.40 inference(modus_ponens,[status(thm)],[6305, 6304])).
% 14.20/9.40 tff(6307,plain,
% 14.20/9.40 ((~v123(constB13)) | ![B: $i] : ((~less_3(B)) | (v130(constB13, B) <=> b110(B)))),
% 14.20/9.40 inference(unit_resolution,[status(thm)],[6306, 5369])).
% 14.20/9.40 tff(6308,plain,
% 14.20/9.40 (![B: $i] : ((~less_3(B)) | (v130(constB13, B) <=> b110(B)))),
% 14.20/9.40 inference(unit_resolution,[status(thm)],[6307, 6239])).
% 14.20/9.40 tff(6309,plain,
% 14.20/9.40 (((~![B: $i] : ((~less_3(B)) | (v130(constB13, B) <=> b110(B)))) | ((~less_3(bitIndex2)) | (v130(constB13, bitIndex2) <=> b110(bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v130(constB13, B) <=> b110(B)))) | (~less_3(bitIndex2)) | (v130(constB13, bitIndex2) <=> b110(bitIndex2)))),
% 14.20/9.40 inference(rewrite,[status(thm)],[])).
% 14.20/9.40 tff(6310,plain,
% 14.20/9.40 ((~![B: $i] : ((~less_3(B)) | (v130(constB13, B) <=> b110(B)))) | ((~less_3(bitIndex2)) | (v130(constB13, bitIndex2) <=> b110(bitIndex2)))),
% 14.20/9.40 inference(quant_inst,[status(thm)],[])).
% 14.20/9.40 tff(6311,plain,
% 14.20/9.40 ((~![B: $i] : ((~less_3(B)) | (v130(constB13, B) <=> b110(B)))) | (~less_3(bitIndex2)) | (v130(constB13, bitIndex2) <=> b110(bitIndex2))),
% 14.20/9.40 inference(modus_ponens,[status(thm)],[6310, 6309])).
% 14.20/9.40 tff(6312,plain,
% 14.20/9.40 (v130(constB13, bitIndex2) <=> b110(bitIndex2)),
% 14.20/9.40 inference(unit_resolution,[status(thm)],[6311, 413, 6308])).
% 14.20/9.40 tff(6313,plain,
% 14.20/9.40 ((~(v130(constB13, bitIndex2) <=> b110(bitIndex2))) | v130(constB13, bitIndex2) | (~b110(bitIndex2))),
% 14.20/9.40 inference(tautology,[status(thm)],[])).
% 14.20/9.40 tff(6314,plain,
% 14.20/9.40 ((~(v130(constB13, bitIndex2) <=> b110(bitIndex2))) | v130(constB13, bitIndex2)),
% 14.20/9.40 inference(unit_resolution,[status(thm)],[6313, 5381])).
% 14.20/9.40 tff(6315,plain,
% 14.20/9.40 (v130(constB13, bitIndex2)),
% 14.20/9.40 inference(unit_resolution,[status(thm)],[6314, 6312])).
% 14.20/9.40 tff(6316,plain,
% 14.20/9.40 ((~(v127(constB13, bitIndex2) <=> v130(constB13, bitIndex2))) | v127(constB13, bitIndex2) | (~v130(constB13, bitIndex2))),
% 14.20/9.40 inference(tautology,[status(thm)],[])).
% 14.20/9.40 tff(6317,plain,
% 14.20/9.40 (v127(constB13, bitIndex2)),
% 14.20/9.40 inference(unit_resolution,[status(thm)],[6316, 6315, 6303])).
% 14.20/9.40 tff(6318,plain,
% 14.20/9.40 ((~(v129(constB14, bitIndex2) <=> v127(constB13, bitIndex2))) | v129(constB14, bitIndex2) | (~v127(constB13, bitIndex2))),
% 14.20/9.40 inference(tautology,[status(thm)],[])).
% 14.20/9.40 tff(6319,plain,
% 14.20/9.40 (v129(constB14, bitIndex2)),
% 14.20/9.40 inference(unit_resolution,[status(thm)],[6318, 6317, 6295])).
% 14.20/9.40 tff(6320,plain,
% 14.20/9.40 ((~(v90(constB14, bitIndex2) <=> v129(constB14, bitIndex2))) | v90(constB14, bitIndex2) | (~v129(constB14, bitIndex2))),
% 14.20/9.40 inference(tautology,[status(thm)],[])).
% 14.20/9.40 tff(6321,plain,
% 14.20/9.40 (v90(constB14, bitIndex2)),
% 14.20/9.40 inference(unit_resolution,[status(thm)],[6320, 6319, 6287])).
% 14.20/9.40 tff(6322,plain,
% 14.20/9.40 ((~(v90(constB15, bitIndex2) <=> v90(constB14, bitIndex2))) | v90(constB15, bitIndex2) | (~v90(constB14, bitIndex2))),
% 14.20/9.40 inference(tautology,[status(thm)],[])).
% 14.20/9.40 tff(6323,plain,
% 14.20/9.40 (v90(constB15, bitIndex2)),
% 14.20/9.40 inference(unit_resolution,[status(thm)],[6322, 6321, 4346])).
% 14.20/9.40 tff(6324,plain,
% 14.20/9.40 (((~![B: $i] : ((~less_3(B)) | (v90(constB15, B) <=> v90(constB14, B)))) | ((~less_3(bitIndex0)) | (v90(constB15, bitIndex0) <=> v90(constB14, bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v90(constB15, B) <=> v90(constB14, B)))) | (~less_3(bitIndex0)) | (v90(constB15, bitIndex0) <=> v90(constB14, bitIndex0)))),
% 14.20/9.40 inference(rewrite,[status(thm)],[])).
% 14.20/9.40 tff(6325,plain,
% 14.20/9.40 ((~![B: $i] : ((~less_3(B)) | (v90(constB15, B) <=> v90(constB14, B)))) | ((~less_3(bitIndex0)) | (v90(constB15, bitIndex0) <=> v90(constB14, bitIndex0)))),
% 14.20/9.40 inference(quant_inst,[status(thm)],[])).
% 14.20/9.40 tff(6326,plain,
% 14.20/9.40 ((~![B: $i] : ((~less_3(B)) | (v90(constB15, B) <=> v90(constB14, B)))) | (~less_3(bitIndex0)) | (v90(constB15, bitIndex0) <=> v90(constB14, bitIndex0))),
% 14.20/9.40 inference(modus_ponens,[status(thm)],[6325, 6324])).
% 14.20/9.40 tff(6327,plain,
% 14.20/9.40 (v90(constB15, bitIndex0) <=> v90(constB14, bitIndex0)),
% 14.20/9.40 inference(unit_resolution,[status(thm)],[6326, 5004, 4342])).
% 14.20/9.40 tff(6328,plain,
% 14.20/9.40 (((~![B: $i] : ((~less_3(B)) | (v90(constB14, B) <=> v129(constB14, B)))) | ((~less_3(bitIndex0)) | (v90(constB14, bitIndex0) <=> v129(constB14, bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v90(constB14, B) <=> v129(constB14, B)))) | (~less_3(bitIndex0)) | (v90(constB14, bitIndex0) <=> v129(constB14, bitIndex0)))),
% 14.20/9.40 inference(rewrite,[status(thm)],[])).
% 14.20/9.40 tff(6329,plain,
% 14.20/9.40 ((~![B: $i] : ((~less_3(B)) | (v90(constB14, B) <=> v129(constB14, B)))) | ((~less_3(bitIndex0)) | (v90(constB14, bitIndex0) <=> v129(constB14, bitIndex0)))),
% 14.20/9.40 inference(quant_inst,[status(thm)],[])).
% 14.20/9.40 tff(6330,plain,
% 14.20/9.40 ((~![B: $i] : ((~less_3(B)) | (v90(constB14, B) <=> v129(constB14, B)))) | (~less_3(bitIndex0)) | (v90(constB14, bitIndex0) <=> v129(constB14, bitIndex0))),
% 14.20/9.40 inference(modus_ponens,[status(thm)],[6329, 6328])).
% 14.20/9.40 tff(6331,plain,
% 14.20/9.40 (v90(constB14, bitIndex0) <=> v129(constB14, bitIndex0)),
% 14.20/9.40 inference(unit_resolution,[status(thm)],[6330, 5004, 6283])).
% 14.20/9.40 tff(6332,plain,
% 14.20/9.40 (((~![B: $i] : ((~less_3(B)) | (v129(constB14, B) <=> v127(constB13, B)))) | ((~less_3(bitIndex0)) | (v129(constB14, bitIndex0) <=> v127(constB13, bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v129(constB14, B) <=> v127(constB13, B)))) | (~less_3(bitIndex0)) | (v129(constB14, bitIndex0) <=> v127(constB13, bitIndex0)))),
% 14.20/9.40 inference(rewrite,[status(thm)],[])).
% 14.20/9.40 tff(6333,plain,
% 14.20/9.40 ((~![B: $i] : ((~less_3(B)) | (v129(constB14, B) <=> v127(constB13, B)))) | ((~less_3(bitIndex0)) | (v129(constB14, bitIndex0) <=> v127(constB13, bitIndex0)))),
% 14.20/9.40 inference(quant_inst,[status(thm)],[])).
% 14.20/9.40 tff(6334,plain,
% 14.20/9.40 ((~![B: $i] : ((~less_3(B)) | (v129(constB14, B) <=> v127(constB13, B)))) | (~less_3(bitIndex0)) | (v129(constB14, bitIndex0) <=> v127(constB13, bitIndex0))),
% 14.20/9.40 inference(modus_ponens,[status(thm)],[6333, 6332])).
% 14.20/9.40 tff(6335,plain,
% 14.20/9.40 (v129(constB14, bitIndex0) <=> v127(constB13, bitIndex0)),
% 14.20/9.40 inference(unit_resolution,[status(thm)],[6334, 5004, 6291])).
% 14.20/9.40 tff(6336,plain,
% 14.20/9.40 (((~![B: $i] : ((~less_3(B)) | (v127(constB13, B) <=> v130(constB13, B)))) | ((~less_3(bitIndex0)) | (v127(constB13, bitIndex0) <=> v130(constB13, bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v127(constB13, B) <=> v130(constB13, B)))) | (~less_3(bitIndex0)) | (v127(constB13, bitIndex0) <=> v130(constB13, bitIndex0)))),
% 14.20/9.40 inference(rewrite,[status(thm)],[])).
% 14.20/9.40 tff(6337,plain,
% 14.20/9.40 ((~![B: $i] : ((~less_3(B)) | (v127(constB13, B) <=> v130(constB13, B)))) | ((~less_3(bitIndex0)) | (v127(constB13, bitIndex0) <=> v130(constB13, bitIndex0)))),
% 14.20/9.40 inference(quant_inst,[status(thm)],[])).
% 14.20/9.40 tff(6338,plain,
% 14.20/9.40 ((~![B: $i] : ((~less_3(B)) | (v127(constB13, B) <=> v130(constB13, B)))) | (~less_3(bitIndex0)) | (v127(constB13, bitIndex0) <=> v130(constB13, bitIndex0))),
% 14.20/9.40 inference(modus_ponens,[status(thm)],[6337, 6336])).
% 14.20/9.40 tff(6339,plain,
% 14.20/9.40 (v127(constB13, bitIndex0) <=> v130(constB13, bitIndex0)),
% 14.20/9.40 inference(unit_resolution,[status(thm)],[6338, 5004, 6299])).
% 14.20/9.40 tff(6340,plain,
% 14.20/9.40 (((~![B: $i] : ((~less_3(B)) | (v130(constB13, B) <=> b110(B)))) | ((~less_3(bitIndex0)) | (v130(constB13, bitIndex0) <=> b110(bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v130(constB13, B) <=> b110(B)))) | (~less_3(bitIndex0)) | (v130(constB13, bitIndex0) <=> b110(bitIndex0)))),
% 14.20/9.40 inference(rewrite,[status(thm)],[])).
% 14.20/9.40 tff(6341,plain,
% 14.20/9.40 ((~![B: $i] : ((~less_3(B)) | (v130(constB13, B) <=> b110(B)))) | ((~less_3(bitIndex0)) | (v130(constB13, bitIndex0) <=> b110(bitIndex0)))),
% 14.20/9.40 inference(quant_inst,[status(thm)],[])).
% 14.20/9.40 tff(6342,plain,
% 14.20/9.40 ((~![B: $i] : ((~less_3(B)) | (v130(constB13, B) <=> b110(B)))) | (~less_3(bitIndex0)) | (v130(constB13, bitIndex0) <=> b110(bitIndex0))),
% 14.20/9.40 inference(modus_ponens,[status(thm)],[6341, 6340])).
% 14.20/9.40 tff(6343,plain,
% 14.20/9.40 (v130(constB13, bitIndex0) <=> b110(bitIndex0)),
% 14.20/9.40 inference(unit_resolution,[status(thm)],[6342, 5004, 6308])).
% 14.20/9.40 tff(6344,plain,
% 14.20/9.40 ((~(v130(constB13, bitIndex0) <=> b110(bitIndex0))) | (~v130(constB13, bitIndex0)) | b110(bitIndex0)),
% 14.20/9.40 inference(tautology,[status(thm)],[])).
% 14.20/9.40 tff(6345,plain,
% 14.20/9.40 ((~(v130(constB13, bitIndex0) <=> b110(bitIndex0))) | (~v130(constB13, bitIndex0))),
% 14.20/9.40 inference(unit_resolution,[status(thm)],[6344, 5415])).
% 14.20/9.40 tff(6346,plain,
% 14.20/9.40 (~v130(constB13, bitIndex0)),
% 14.20/9.40 inference(unit_resolution,[status(thm)],[6345, 6343])).
% 14.20/9.40 tff(6347,plain,
% 14.20/9.40 ((~(v127(constB13, bitIndex0) <=> v130(constB13, bitIndex0))) | (~v127(constB13, bitIndex0)) | v130(constB13, bitIndex0)),
% 14.20/9.40 inference(tautology,[status(thm)],[])).
% 14.20/9.40 tff(6348,plain,
% 14.20/9.40 (~v127(constB13, bitIndex0)),
% 14.20/9.40 inference(unit_resolution,[status(thm)],[6347, 6346, 6339])).
% 14.20/9.40 tff(6349,plain,
% 14.20/9.40 ((~(v129(constB14, bitIndex0) <=> v127(constB13, bitIndex0))) | (~v129(constB14, bitIndex0)) | v127(constB13, bitIndex0)),
% 14.20/9.40 inference(tautology,[status(thm)],[])).
% 14.20/9.40 tff(6350,plain,
% 14.20/9.40 (~v129(constB14, bitIndex0)),
% 14.20/9.40 inference(unit_resolution,[status(thm)],[6349, 6348, 6335])).
% 14.20/9.40 tff(6351,plain,
% 14.20/9.40 ((~(v90(constB14, bitIndex0) <=> v129(constB14, bitIndex0))) | (~v90(constB14, bitIndex0)) | v129(constB14, bitIndex0)),
% 14.20/9.40 inference(tautology,[status(thm)],[])).
% 14.20/9.40 tff(6352,plain,
% 14.20/9.40 (~v90(constB14, bitIndex0)),
% 14.20/9.40 inference(unit_resolution,[status(thm)],[6351, 6350, 6331])).
% 14.20/9.40 tff(6353,plain,
% 14.20/9.40 ((~(v90(constB15, bitIndex0) <=> v90(constB14, bitIndex0))) | (~v90(constB15, bitIndex0)) | v90(constB14, bitIndex0)),
% 14.20/9.40 inference(tautology,[status(thm)],[])).
% 14.20/9.40 tff(6354,plain,
% 14.20/9.40 (~v90(constB15, bitIndex0)),
% 14.20/9.40 inference(unit_resolution,[status(thm)],[6353, 6352, 6327])).
% 14.20/9.40 tff(6355,plain,
% 14.20/9.40 (((~![B: $i] : ((~less_3(B)) | (v90(constB15, B) <=> v90(constB14, B)))) | ((~less_3(bitIndex1)) | (v90(constB15, bitIndex1) <=> v90(constB14, bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v90(constB15, B) <=> v90(constB14, B)))) | (~less_3(bitIndex1)) | (v90(constB15, bitIndex1) <=> v90(constB14, bitIndex1)))),
% 14.20/9.40 inference(rewrite,[status(thm)],[])).
% 14.20/9.40 tff(6356,plain,
% 14.20/9.40 ((~![B: $i] : ((~less_3(B)) | (v90(constB15, B) <=> v90(constB14, B)))) | ((~less_3(bitIndex1)) | (v90(constB15, bitIndex1) <=> v90(constB14, bitIndex1)))),
% 14.20/9.40 inference(quant_inst,[status(thm)],[])).
% 14.20/9.40 tff(6357,plain,
% 14.20/9.40 ((~![B: $i] : ((~less_3(B)) | (v90(constB15, B) <=> v90(constB14, B)))) | (~less_3(bitIndex1)) | (v90(constB15, bitIndex1) <=> v90(constB14, bitIndex1))),
% 14.20/9.40 inference(modus_ponens,[status(thm)],[6356, 6355])).
% 14.20/9.40 tff(6358,plain,
% 14.20/9.40 (v90(constB15, bitIndex1) <=> v90(constB14, bitIndex1)),
% 14.20/9.40 inference(unit_resolution,[status(thm)],[6357, 5017, 4342])).
% 14.20/9.40 tff(6359,plain,
% 14.20/9.40 (((~![B: $i] : ((~less_3(B)) | (v90(constB14, B) <=> v129(constB14, B)))) | ((~less_3(bitIndex1)) | (v90(constB14, bitIndex1) <=> v129(constB14, bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v90(constB14, B) <=> v129(constB14, B)))) | (~less_3(bitIndex1)) | (v90(constB14, bitIndex1) <=> v129(constB14, bitIndex1)))),
% 14.20/9.40 inference(rewrite,[status(thm)],[])).
% 14.20/9.40 tff(6360,plain,
% 14.20/9.40 ((~![B: $i] : ((~less_3(B)) | (v90(constB14, B) <=> v129(constB14, B)))) | ((~less_3(bitIndex1)) | (v90(constB14, bitIndex1) <=> v129(constB14, bitIndex1)))),
% 14.20/9.40 inference(quant_inst,[status(thm)],[])).
% 14.20/9.40 tff(6361,plain,
% 14.20/9.40 ((~![B: $i] : ((~less_3(B)) | (v90(constB14, B) <=> v129(constB14, B)))) | (~less_3(bitIndex1)) | (v90(constB14, bitIndex1) <=> v129(constB14, bitIndex1))),
% 14.20/9.40 inference(modus_ponens,[status(thm)],[6360, 6359])).
% 14.20/9.40 tff(6362,plain,
% 14.20/9.40 (v90(constB14, bitIndex1) <=> v129(constB14, bitIndex1)),
% 14.20/9.40 inference(unit_resolution,[status(thm)],[6361, 5017, 6283])).
% 14.20/9.40 tff(6363,plain,
% 14.20/9.40 (((~![B: $i] : ((~less_3(B)) | (v129(constB14, B) <=> v127(constB13, B)))) | ((~less_3(bitIndex1)) | (v129(constB14, bitIndex1) <=> v127(constB13, bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v129(constB14, B) <=> v127(constB13, B)))) | (~less_3(bitIndex1)) | (v129(constB14, bitIndex1) <=> v127(constB13, bitIndex1)))),
% 14.20/9.40 inference(rewrite,[status(thm)],[])).
% 14.20/9.40 tff(6364,plain,
% 14.20/9.40 ((~![B: $i] : ((~less_3(B)) | (v129(constB14, B) <=> v127(constB13, B)))) | ((~less_3(bitIndex1)) | (v129(constB14, bitIndex1) <=> v127(constB13, bitIndex1)))),
% 14.20/9.40 inference(quant_inst,[status(thm)],[])).
% 14.20/9.40 tff(6365,plain,
% 14.20/9.40 ((~![B: $i] : ((~less_3(B)) | (v129(constB14, B) <=> v127(constB13, B)))) | (~less_3(bitIndex1)) | (v129(constB14, bitIndex1) <=> v127(constB13, bitIndex1))),
% 14.20/9.40 inference(modus_ponens,[status(thm)],[6364, 6363])).
% 14.20/9.40 tff(6366,plain,
% 14.20/9.40 (v129(constB14, bitIndex1) <=> v127(constB13, bitIndex1)),
% 14.20/9.40 inference(unit_resolution,[status(thm)],[6365, 5017, 6291])).
% 14.20/9.40 tff(6367,plain,
% 14.20/9.40 (((~![B: $i] : ((~less_3(B)) | (v127(constB13, B) <=> v130(constB13, B)))) | ((~less_3(bitIndex1)) | (v127(constB13, bitIndex1) <=> v130(constB13, bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v127(constB13, B) <=> v130(constB13, B)))) | (~less_3(bitIndex1)) | (v127(constB13, bitIndex1) <=> v130(constB13, bitIndex1)))),
% 14.20/9.40 inference(rewrite,[status(thm)],[])).
% 14.20/9.40 tff(6368,plain,
% 14.20/9.40 ((~![B: $i] : ((~less_3(B)) | (v127(constB13, B) <=> v130(constB13, B)))) | ((~less_3(bitIndex1)) | (v127(constB13, bitIndex1) <=> v130(constB13, bitIndex1)))),
% 14.20/9.40 inference(quant_inst,[status(thm)],[])).
% 14.20/9.40 tff(6369,plain,
% 14.20/9.40 ((~![B: $i] : ((~less_3(B)) | (v127(constB13, B) <=> v130(constB13, B)))) | (~less_3(bitIndex1)) | (v127(constB13, bitIndex1) <=> v130(constB13, bitIndex1))),
% 14.20/9.40 inference(modus_ponens,[status(thm)],[6368, 6367])).
% 14.20/9.40 tff(6370,plain,
% 14.20/9.40 (v127(constB13, bitIndex1) <=> v130(constB13, bitIndex1)),
% 14.20/9.40 inference(unit_resolution,[status(thm)],[6369, 5017, 6299])).
% 14.20/9.40 tff(6371,plain,
% 14.20/9.40 (((~![B: $i] : ((~less_3(B)) | (v130(constB13, B) <=> b110(B)))) | ((~less_3(bitIndex1)) | (v130(constB13, bitIndex1) <=> b110(bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v130(constB13, B) <=> b110(B)))) | (~less_3(bitIndex1)) | (v130(constB13, bitIndex1) <=> b110(bitIndex1)))),
% 14.20/9.40 inference(rewrite,[status(thm)],[])).
% 14.20/9.40 tff(6372,plain,
% 14.20/9.40 ((~![B: $i] : ((~less_3(B)) | (v130(constB13, B) <=> b110(B)))) | ((~less_3(bitIndex1)) | (v130(constB13, bitIndex1) <=> b110(bitIndex1)))),
% 14.20/9.40 inference(quant_inst,[status(thm)],[])).
% 14.20/9.40 tff(6373,plain,
% 14.20/9.40 ((~![B: $i] : ((~less_3(B)) | (v130(constB13, B) <=> b110(B)))) | (~less_3(bitIndex1)) | (v130(constB13, bitIndex1) <=> b110(bitIndex1))),
% 14.20/9.40 inference(modus_ponens,[status(thm)],[6372, 6371])).
% 14.20/9.40 tff(6374,plain,
% 14.20/9.40 (v130(constB13, bitIndex1) <=> b110(bitIndex1)),
% 14.20/9.40 inference(unit_resolution,[status(thm)],[6373, 5017, 6308])).
% 14.20/9.40 tff(6375,plain,
% 14.20/9.40 ((~(v130(constB13, bitIndex1) <=> b110(bitIndex1))) | v130(constB13, bitIndex1) | (~b110(bitIndex1))),
% 14.20/9.40 inference(tautology,[status(thm)],[])).
% 14.20/9.40 tff(6376,plain,
% 14.20/9.40 ((~(v130(constB13, bitIndex1) <=> b110(bitIndex1))) | v130(constB13, bitIndex1)),
% 14.20/9.40 inference(unit_resolution,[status(thm)],[6375, 5449])).
% 14.20/9.40 tff(6377,plain,
% 14.20/9.40 (v130(constB13, bitIndex1)),
% 14.20/9.40 inference(unit_resolution,[status(thm)],[6376, 6374])).
% 14.20/9.40 tff(6378,plain,
% 14.20/9.40 ((~(v127(constB13, bitIndex1) <=> v130(constB13, bitIndex1))) | v127(constB13, bitIndex1) | (~v130(constB13, bitIndex1))),
% 14.20/9.40 inference(tautology,[status(thm)],[])).
% 14.20/9.40 tff(6379,plain,
% 14.20/9.40 (v127(constB13, bitIndex1)),
% 14.20/9.40 inference(unit_resolution,[status(thm)],[6378, 6377, 6370])).
% 14.20/9.40 tff(6380,plain,
% 14.20/9.40 ((~(v129(constB14, bitIndex1) <=> v127(constB13, bitIndex1))) | v129(constB14, bitIndex1) | (~v127(constB13, bitIndex1))),
% 14.20/9.40 inference(tautology,[status(thm)],[])).
% 14.20/9.40 tff(6381,plain,
% 14.20/9.40 (v129(constB14, bitIndex1)),
% 14.20/9.40 inference(unit_resolution,[status(thm)],[6380, 6379, 6366])).
% 14.20/9.40 tff(6382,plain,
% 14.20/9.40 ((~(v90(constB14, bitIndex1) <=> v129(constB14, bitIndex1))) | v90(constB14, bitIndex1) | (~v129(constB14, bitIndex1))),
% 14.20/9.40 inference(tautology,[status(thm)],[])).
% 14.20/9.40 tff(6383,plain,
% 14.20/9.40 (v90(constB14, bitIndex1)),
% 14.20/9.40 inference(unit_resolution,[status(thm)],[6382, 6381, 6362])).
% 14.20/9.40 tff(6384,plain,
% 14.20/9.40 ((~(v90(constB15, bitIndex1) <=> v90(constB14, bitIndex1))) | v90(constB15, bitIndex1) | (~v90(constB14, bitIndex1))),
% 14.20/9.40 inference(tautology,[status(thm)],[])).
% 14.20/9.40 tff(6385,plain,
% 14.20/9.40 (v90(constB15, bitIndex1)),
% 14.20/9.40 inference(unit_resolution,[status(thm)],[6384, 6383, 6358])).
% 14.20/9.40 tff(6386,plain,
% 14.20/9.40 ((~((~v90(constB15, bitIndex2)) | (~v90(constB15, bitIndex1)) | v90(constB15, bitIndex0))) | (~v90(constB15, bitIndex2)) | (~v90(constB15, bitIndex1)) | v90(constB15, bitIndex0)),
% 14.20/9.40 inference(tautology,[status(thm)],[])).
% 14.20/9.40 tff(6387,plain,
% 14.20/9.40 (~((~v90(constB15, bitIndex2)) | (~v90(constB15, bitIndex1)) | v90(constB15, bitIndex0))),
% 14.20/9.40 inference(unit_resolution,[status(thm)],[6386, 6385, 6354, 6323])).
% 14.20/9.40 tff(6388,plain,
% 14.20/9.40 ((~(v125(constB15) <=> (~((~v90(constB15, bitIndex2)) | (~v90(constB15, bitIndex1)) | v90(constB15, bitIndex0))))) | v125(constB15) | ((~v90(constB15, bitIndex2)) | (~v90(constB15, bitIndex1)) | v90(constB15, bitIndex0))),
% 14.20/9.40 inference(tautology,[status(thm)],[])).
% 14.20/9.40 tff(6389,plain,
% 14.20/9.40 (v125(constB15)),
% 14.20/9.40 inference(unit_resolution,[status(thm)],[6388, 6387, 4314])).
% 14.20/9.40 tff(6390,plain,
% 14.20/9.40 ((v114(constB15) | v125(constB15)) | (~v125(constB15))),
% 14.20/9.40 inference(tautology,[status(thm)],[])).
% 14.20/9.40 tff(6391,plain,
% 14.20/9.40 (v114(constB15) | v125(constB15)),
% 14.20/9.40 inference(unit_resolution,[status(thm)],[6390, 6389])).
% 14.20/9.40 tff(6392,plain,
% 14.20/9.40 ((~(v113(constB15) <=> (v114(constB15) | v125(constB15)))) | v113(constB15) | (~(v114(constB15) | v125(constB15)))),
% 14.20/9.40 inference(tautology,[status(thm)],[])).
% 14.20/9.40 tff(6393,plain,
% 14.20/9.40 (v113(constB15)),
% 14.20/9.40 inference(unit_resolution,[status(thm)],[6392, 6391, 4307])).
% 14.20/9.40 tff(6394,plain,
% 14.20/9.40 ((~![VarCurr: $i] : ((~v126(VarCurr)) <=> v111(VarCurr))) | ((~v126(constB15)) <=> v111(constB15))),
% 14.20/9.40 inference(quant_inst,[status(thm)],[])).
% 14.20/9.40 tff(6395,plain,
% 14.20/9.40 ((~v126(constB15)) <=> v111(constB15)),
% 14.20/9.40 inference(unit_resolution,[status(thm)],[6394, 5074])).
% 14.20/9.40 tff(6396,plain,
% 14.20/9.40 ((~![VarCurr: $i] : (v111(VarCurr) <=> v26(VarCurr))) | (v111(constB15) <=> v26(constB15))),
% 14.20/9.40 inference(quant_inst,[status(thm)],[])).
% 14.20/9.40 tff(6397,plain,
% 14.20/9.40 (v111(constB15) <=> v26(constB15)),
% 14.20/9.40 inference(unit_resolution,[status(thm)],[6396, 5086])).
% 14.20/9.40 tff(6398,plain,
% 14.20/9.40 ((~![VarCurr: $i] : (~v26(VarCurr))) | (~v26(constB15))),
% 14.20/9.40 inference(quant_inst,[status(thm)],[])).
% 14.20/9.40 tff(6399,plain,
% 14.20/9.40 (~v26(constB15)),
% 14.20/9.40 inference(unit_resolution,[status(thm)],[6398, 5098])).
% 14.20/9.40 tff(6400,plain,
% 14.20/9.40 ((~(v111(constB15) <=> v26(constB15))) | (~v111(constB15)) | v26(constB15)),
% 14.20/9.40 inference(tautology,[status(thm)],[])).
% 14.20/9.40 tff(6401,plain,
% 14.20/9.40 ((~(v111(constB15) <=> v26(constB15))) | (~v111(constB15))),
% 14.20/9.40 inference(unit_resolution,[status(thm)],[6400, 6399])).
% 14.20/9.40 tff(6402,plain,
% 14.20/9.40 (~v111(constB15)),
% 14.20/9.40 inference(unit_resolution,[status(thm)],[6401, 6397])).
% 14.20/9.40 tff(6403,plain,
% 14.20/9.40 ((~((~v126(constB15)) <=> v111(constB15))) | v126(constB15) | v111(constB15)),
% 14.20/9.40 inference(tautology,[status(thm)],[])).
% 14.20/9.40 tff(6404,plain,
% 14.20/9.40 ((~((~v126(constB15)) <=> v111(constB15))) | v126(constB15)),
% 14.20/9.40 inference(unit_resolution,[status(thm)],[6403, 6402])).
% 14.20/9.40 tff(6405,plain,
% 14.20/9.40 (v126(constB15)),
% 14.20/9.40 inference(unit_resolution,[status(thm)],[6404, 6395])).
% 14.20/9.40 tff(6406,plain,
% 14.20/9.40 ((~((~v113(constB15)) | (~v126(constB15)))) | (~v113(constB15)) | (~v126(constB15))),
% 14.20/9.40 inference(tautology,[status(thm)],[])).
% 14.20/9.41 tff(6407,plain,
% 14.20/9.41 ((~((~v113(constB15)) | (~v126(constB15)))) | (~v113(constB15))),
% 14.20/9.41 inference(unit_resolution,[status(thm)],[6406, 6405])).
% 14.20/9.41 tff(6408,plain,
% 14.20/9.41 (~((~v113(constB15)) | (~v126(constB15)))),
% 14.20/9.41 inference(unit_resolution,[status(thm)],[6407, 6393])).
% 14.20/9.41 tff(6409,plain,
% 14.20/9.41 ((~(v112(constB15) <=> (~((~v113(constB15)) | (~v126(constB15)))))) | v112(constB15) | ((~v113(constB15)) | (~v126(constB15)))),
% 14.20/9.41 inference(tautology,[status(thm)],[])).
% 14.20/9.41 tff(6410,plain,
% 14.20/9.41 (v112(constB15)),
% 14.20/9.41 inference(unit_resolution,[status(thm)],[6409, 6408, 4305])).
% 14.20/9.41 tff(6411,plain,
% 14.20/9.41 ((v111(constB15) | v112(constB15)) | (~v112(constB15))),
% 14.20/9.41 inference(tautology,[status(thm)],[])).
% 14.20/9.41 tff(6412,plain,
% 14.20/9.41 (v111(constB15) | v112(constB15)),
% 14.20/9.41 inference(unit_resolution,[status(thm)],[6411, 6410])).
% 14.20/9.41 tff(6413,plain,
% 14.20/9.41 ((~(v108(constB15) <=> (v111(constB15) | v112(constB15)))) | v108(constB15) | (~(v111(constB15) | v112(constB15)))),
% 14.20/9.41 inference(tautology,[status(thm)],[])).
% 14.20/9.41 tff(6414,plain,
% 14.20/9.41 (v108(constB15)),
% 14.20/9.41 inference(unit_resolution,[status(thm)],[6413, 6412, 4303])).
% 14.20/9.41 tff(6415,plain,
% 14.20/9.41 ((~(v110(constB16) <=> v108(constB15))) | v110(constB16) | (~v108(constB15))),
% 14.20/9.41 inference(tautology,[status(thm)],[])).
% 14.20/9.41 tff(6416,plain,
% 14.20/9.41 (v110(constB16)),
% 14.20/9.41 inference(unit_resolution,[status(thm)],[6415, 6414, 4301])).
% 14.20/9.41 tff(6417,plain,
% 14.20/9.41 ((~((~v101(constB16)) | (~v110(constB16)))) | (~v101(constB16)) | (~v110(constB16))),
% 14.20/9.41 inference(tautology,[status(thm)],[])).
% 14.20/9.41 tff(6418,plain,
% 14.20/9.41 (~((~v101(constB16)) | (~v110(constB16)))),
% 14.20/9.41 inference(unit_resolution,[status(thm)],[6417, 6416, 4297])).
% 14.20/9.41 tff(6419,plain,
% 14.20/9.41 ((~(v100(constB16) <=> (~((~v101(constB16)) | (~v110(constB16)))))) | v100(constB16) | ((~v101(constB16)) | (~v110(constB16)))),
% 14.20/9.41 inference(tautology,[status(thm)],[])).
% 14.20/9.41 tff(6420,plain,
% 14.20/9.41 (v100(constB16)),
% 14.20/9.41 inference(unit_resolution,[status(thm)],[6419, 6418, 4266])).
% 14.20/9.41 tff(6421,plain,
% 14.20/9.41 (((~![VarNext: $i] : ((~v100(VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v129(VarNext, B))))) | ((~v100(constB16)) | ![B: $i] : ((~less_3(B)) | (v90(constB16, B) <=> v129(constB16, B))))) <=> ((~![VarNext: $i] : ((~v100(VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v129(VarNext, B))))) | (~v100(constB16)) | ![B: $i] : ((~less_3(B)) | (v90(constB16, B) <=> v129(constB16, B))))),
% 14.20/9.41 inference(rewrite,[status(thm)],[])).
% 14.20/9.41 tff(6422,plain,
% 14.20/9.41 ((~![VarNext: $i] : ((~v100(VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v129(VarNext, B))))) | ((~v100(constB16)) | ![B: $i] : ((~less_3(B)) | (v90(constB16, B) <=> v129(constB16, B))))),
% 14.20/9.41 inference(quant_inst,[status(thm)],[])).
% 14.20/9.41 tff(6423,plain,
% 14.20/9.41 ((~![VarNext: $i] : ((~v100(VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v129(VarNext, B))))) | (~v100(constB16)) | ![B: $i] : ((~less_3(B)) | (v90(constB16, B) <=> v129(constB16, B)))),
% 14.20/9.41 inference(modus_ponens,[status(thm)],[6422, 6421])).
% 14.20/9.41 tff(6424,plain,
% 14.20/9.41 ((~v100(constB16)) | ![B: $i] : ((~less_3(B)) | (v90(constB16, B) <=> v129(constB16, B)))),
% 14.20/9.41 inference(unit_resolution,[status(thm)],[6423, 5134])).
% 14.20/9.41 tff(6425,plain,
% 14.20/9.41 (![B: $i] : ((~less_3(B)) | (v90(constB16, B) <=> v129(constB16, B)))),
% 14.20/9.41 inference(unit_resolution,[status(thm)],[6424, 6420])).
% 14.20/9.41 tff(6426,plain,
% 14.20/9.41 (((~![B: $i] : ((~less_3(B)) | (v90(constB16, B) <=> v129(constB16, B)))) | ((~less_3(bitIndex2)) | (v90(constB16, bitIndex2) <=> v129(constB16, bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v90(constB16, B) <=> v129(constB16, B)))) | (~less_3(bitIndex2)) | (v90(constB16, bitIndex2) <=> v129(constB16, bitIndex2)))),
% 14.20/9.41 inference(rewrite,[status(thm)],[])).
% 14.20/9.41 tff(6427,plain,
% 14.20/9.41 ((~![B: $i] : ((~less_3(B)) | (v90(constB16, B) <=> v129(constB16, B)))) | ((~less_3(bitIndex2)) | (v90(constB16, bitIndex2) <=> v129(constB16, bitIndex2)))),
% 14.20/9.41 inference(quant_inst,[status(thm)],[])).
% 14.20/9.41 tff(6428,plain,
% 14.20/9.41 ((~![B: $i] : ((~less_3(B)) | (v90(constB16, B) <=> v129(constB16, B)))) | (~less_3(bitIndex2)) | (v90(constB16, bitIndex2) <=> v129(constB16, bitIndex2))),
% 14.20/9.41 inference(modus_ponens,[status(thm)],[6427, 6426])).
% 14.20/9.41 tff(6429,plain,
% 14.20/9.41 (v90(constB16, bitIndex2) <=> v129(constB16, bitIndex2)),
% 14.20/9.41 inference(unit_resolution,[status(thm)],[6428, 413, 6425])).
% 14.20/9.41 tff(6430,plain,
% 14.20/9.41 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v129(VarNext, B) <=> v127(VarCurr, B))))) | ((~nextState(constB15, constB16)) | ![B: $i] : ((~less_3(B)) | (v129(constB16, B) <=> v127(constB15, B))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v129(VarNext, B) <=> v127(VarCurr, B))))) | (~nextState(constB15, constB16)) | ![B: $i] : ((~less_3(B)) | (v129(constB16, B) <=> v127(constB15, B))))),
% 14.20/9.41 inference(rewrite,[status(thm)],[])).
% 14.20/9.41 tff(6431,plain,
% 14.20/9.41 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v129(VarNext, B) <=> v127(VarCurr, B))))) | ((~nextState(constB15, constB16)) | ![B: $i] : ((~less_3(B)) | (v129(constB16, B) <=> v127(constB15, B))))),
% 14.20/9.41 inference(quant_inst,[status(thm)],[])).
% 14.20/9.41 tff(6432,plain,
% 14.20/9.41 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v129(VarNext, B) <=> v127(VarCurr, B))))) | (~nextState(constB15, constB16)) | ![B: $i] : ((~less_3(B)) | (v129(constB16, B) <=> v127(constB15, B)))),
% 14.20/9.41 inference(modus_ponens,[status(thm)],[6431, 6430])).
% 14.20/9.41 tff(6433,plain,
% 14.20/9.41 (![B: $i] : ((~less_3(B)) | (v129(constB16, B) <=> v127(constB15, B)))),
% 14.20/9.41 inference(unit_resolution,[status(thm)],[6432, 4262, 5156])).
% 14.20/9.41 tff(6434,plain,
% 14.20/9.41 (((~![B: $i] : ((~less_3(B)) | (v129(constB16, B) <=> v127(constB15, B)))) | ((~less_3(bitIndex2)) | (v129(constB16, bitIndex2) <=> v127(constB15, bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v129(constB16, B) <=> v127(constB15, B)))) | (~less_3(bitIndex2)) | (v129(constB16, bitIndex2) <=> v127(constB15, bitIndex2)))),
% 14.20/9.41 inference(rewrite,[status(thm)],[])).
% 14.20/9.41 tff(6435,plain,
% 14.20/9.41 ((~![B: $i] : ((~less_3(B)) | (v129(constB16, B) <=> v127(constB15, B)))) | ((~less_3(bitIndex2)) | (v129(constB16, bitIndex2) <=> v127(constB15, bitIndex2)))),
% 14.20/9.41 inference(quant_inst,[status(thm)],[])).
% 14.20/9.41 tff(6436,plain,
% 14.20/9.41 ((~![B: $i] : ((~less_3(B)) | (v129(constB16, B) <=> v127(constB15, B)))) | (~less_3(bitIndex2)) | (v129(constB16, bitIndex2) <=> v127(constB15, bitIndex2))),
% 14.20/9.41 inference(modus_ponens,[status(thm)],[6435, 6434])).
% 14.20/9.41 tff(6437,plain,
% 14.20/9.41 (v129(constB16, bitIndex2) <=> v127(constB15, bitIndex2)),
% 14.20/9.41 inference(unit_resolution,[status(thm)],[6436, 413, 6433])).
% 14.20/9.41 tff(6438,plain,
% 14.20/9.41 (((~![VarCurr: $i] : (v111(VarCurr) | ![B: $i] : ((~less_3(B)) | (v127(VarCurr, B) <=> v130(VarCurr, B))))) | (v111(constB15) | ![B: $i] : ((~less_3(B)) | (v127(constB15, B) <=> v130(constB15, B))))) <=> ((~![VarCurr: $i] : (v111(VarCurr) | ![B: $i] : ((~less_3(B)) | (v127(VarCurr, B) <=> v130(VarCurr, B))))) | v111(constB15) | ![B: $i] : ((~less_3(B)) | (v127(constB15, B) <=> v130(constB15, B))))),
% 14.20/9.41 inference(rewrite,[status(thm)],[])).
% 14.20/9.41 tff(6439,plain,
% 14.20/9.41 ((~![VarCurr: $i] : (v111(VarCurr) | ![B: $i] : ((~less_3(B)) | (v127(VarCurr, B) <=> v130(VarCurr, B))))) | (v111(constB15) | ![B: $i] : ((~less_3(B)) | (v127(constB15, B) <=> v130(constB15, B))))),
% 14.20/9.41 inference(quant_inst,[status(thm)],[])).
% 14.20/9.41 tff(6440,plain,
% 14.20/9.41 ((~![VarCurr: $i] : (v111(VarCurr) | ![B: $i] : ((~less_3(B)) | (v127(VarCurr, B) <=> v130(VarCurr, B))))) | v111(constB15) | ![B: $i] : ((~less_3(B)) | (v127(constB15, B) <=> v130(constB15, B)))),
% 14.20/9.41 inference(modus_ponens,[status(thm)],[6439, 6438])).
% 14.20/9.41 tff(6441,plain,
% 14.20/9.41 (![B: $i] : ((~less_3(B)) | (v127(constB15, B) <=> v130(constB15, B)))),
% 14.20/9.41 inference(unit_resolution,[status(thm)],[6440, 5177, 6402])).
% 14.20/9.41 tff(6442,plain,
% 14.20/9.41 (((~![B: $i] : ((~less_3(B)) | (v127(constB15, B) <=> v130(constB15, B)))) | ((~less_3(bitIndex2)) | (v127(constB15, bitIndex2) <=> v130(constB15, bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v127(constB15, B) <=> v130(constB15, B)))) | (~less_3(bitIndex2)) | (v127(constB15, bitIndex2) <=> v130(constB15, bitIndex2)))),
% 14.20/9.41 inference(rewrite,[status(thm)],[])).
% 14.20/9.41 tff(6443,plain,
% 14.20/9.41 ((~![B: $i] : ((~less_3(B)) | (v127(constB15, B) <=> v130(constB15, B)))) | ((~less_3(bitIndex2)) | (v127(constB15, bitIndex2) <=> v130(constB15, bitIndex2)))),
% 14.20/9.41 inference(quant_inst,[status(thm)],[])).
% 14.20/9.41 tff(6444,plain,
% 14.20/9.41 ((~![B: $i] : ((~less_3(B)) | (v127(constB15, B) <=> v130(constB15, B)))) | (~less_3(bitIndex2)) | (v127(constB15, bitIndex2) <=> v130(constB15, bitIndex2))),
% 14.20/9.41 inference(modus_ponens,[status(thm)],[6443, 6442])).
% 14.20/9.41 tff(6445,plain,
% 14.20/9.41 (v127(constB15, bitIndex2) <=> v130(constB15, bitIndex2)),
% 14.20/9.41 inference(unit_resolution,[status(thm)],[6444, 413, 6441])).
% 14.20/9.41 tff(6446,plain,
% 14.20/9.41 ((~![VarCurr: $i] : (v119(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))))) | (v119(constB15) <=> (~(v90(constB15, bitIndex0) | v90(constB15, bitIndex1) | v90(constB15, bitIndex2))))),
% 14.20/9.41 inference(quant_inst,[status(thm)],[])).
% 14.20/9.41 tff(6447,plain,
% 14.20/9.41 (v119(constB15) <=> (~(v90(constB15, bitIndex0) | v90(constB15, bitIndex1) | v90(constB15, bitIndex2)))),
% 14.20/9.41 inference(unit_resolution,[status(thm)],[6446, 4971])).
% 14.20/9.41 tff(6448,plain,
% 14.20/9.41 ((v90(constB15, bitIndex0) | v90(constB15, bitIndex1) | v90(constB15, bitIndex2)) | (~v90(constB15, bitIndex2))),
% 14.20/9.41 inference(tautology,[status(thm)],[])).
% 14.20/9.41 tff(6449,plain,
% 14.20/9.41 (v90(constB15, bitIndex0) | v90(constB15, bitIndex1) | v90(constB15, bitIndex2)),
% 14.20/9.41 inference(unit_resolution,[status(thm)],[6448, 6323])).
% 14.20/9.41 tff(6450,plain,
% 14.20/9.41 ((~(v119(constB15) <=> (~(v90(constB15, bitIndex0) | v90(constB15, bitIndex1) | v90(constB15, bitIndex2))))) | (~v119(constB15)) | (~(v90(constB15, bitIndex0) | v90(constB15, bitIndex1) | v90(constB15, bitIndex2)))),
% 14.20/9.41 inference(tautology,[status(thm)],[])).
% 14.20/9.41 tff(6451,plain,
% 14.20/9.41 (~v119(constB15)),
% 14.20/9.41 inference(unit_resolution,[status(thm)],[6450, 6449, 6447])).
% 14.20/9.41 tff(6452,plain,
% 14.20/9.41 (((~![VarCurr: $i] : (v124(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex2)))))) | (v124(constB15) <=> (~((~v90(constB15, bitIndex2)) | v90(constB15, bitIndex1) | (~v90(constB15, bitIndex0)))))) <=> ((~![VarCurr: $i] : (v124(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex2)))))) | (v124(constB15) <=> (~((~v90(constB15, bitIndex2)) | v90(constB15, bitIndex1) | (~v90(constB15, bitIndex0))))))),
% 14.20/9.41 inference(rewrite,[status(thm)],[])).
% 14.20/9.41 tff(6453,plain,
% 14.20/9.41 ((v124(constB15) <=> (~(v90(constB15, bitIndex1) | (~v90(constB15, bitIndex0)) | (~v90(constB15, bitIndex2))))) <=> (v124(constB15) <=> (~((~v90(constB15, bitIndex2)) | v90(constB15, bitIndex1) | (~v90(constB15, bitIndex0)))))),
% 14.20/9.41 inference(rewrite,[status(thm)],[])).
% 14.20/9.41 tff(6454,plain,
% 14.20/9.41 (((~![VarCurr: $i] : (v124(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex2)))))) | (v124(constB15) <=> (~(v90(constB15, bitIndex1) | (~v90(constB15, bitIndex0)) | (~v90(constB15, bitIndex2)))))) <=> ((~![VarCurr: $i] : (v124(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex2)))))) | (v124(constB15) <=> (~((~v90(constB15, bitIndex2)) | v90(constB15, bitIndex1) | (~v90(constB15, bitIndex0))))))),
% 14.20/9.41 inference(monotonicity,[status(thm)],[6453])).
% 14.20/9.41 tff(6455,plain,
% 14.20/9.41 (((~![VarCurr: $i] : (v124(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex2)))))) | (v124(constB15) <=> (~(v90(constB15, bitIndex1) | (~v90(constB15, bitIndex0)) | (~v90(constB15, bitIndex2)))))) <=> ((~![VarCurr: $i] : (v124(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex2)))))) | (v124(constB15) <=> (~((~v90(constB15, bitIndex2)) | v90(constB15, bitIndex1) | (~v90(constB15, bitIndex0))))))),
% 14.20/9.41 inference(transitivity,[status(thm)],[6454, 6452])).
% 14.20/9.41 tff(6456,plain,
% 14.20/9.41 ((~![VarCurr: $i] : (v124(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex2)))))) | (v124(constB15) <=> (~(v90(constB15, bitIndex1) | (~v90(constB15, bitIndex0)) | (~v90(constB15, bitIndex2)))))),
% 14.20/9.41 inference(quant_inst,[status(thm)],[])).
% 14.20/9.41 tff(6457,plain,
% 14.20/9.41 ((~![VarCurr: $i] : (v124(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex2)))))) | (v124(constB15) <=> (~((~v90(constB15, bitIndex2)) | v90(constB15, bitIndex1) | (~v90(constB15, bitIndex0)))))),
% 14.20/9.41 inference(modus_ponens,[status(thm)],[6456, 6455])).
% 14.20/9.41 tff(6458,plain,
% 14.20/9.41 (v124(constB15) <=> (~((~v90(constB15, bitIndex2)) | v90(constB15, bitIndex1) | (~v90(constB15, bitIndex0))))),
% 14.20/9.41 inference(unit_resolution,[status(thm)],[6457, 5539])).
% 14.20/9.41 tff(6459,plain,
% 14.20/9.41 (((~v90(constB15, bitIndex2)) | v90(constB15, bitIndex1) | (~v90(constB15, bitIndex0))) | (~v90(constB15, bitIndex1))),
% 14.20/9.41 inference(tautology,[status(thm)],[])).
% 14.20/9.41 tff(6460,plain,
% 14.20/9.41 ((~v90(constB15, bitIndex2)) | v90(constB15, bitIndex1) | (~v90(constB15, bitIndex0))),
% 14.20/9.41 inference(unit_resolution,[status(thm)],[6459, 6385])).
% 14.20/9.41 tff(6461,plain,
% 14.20/9.41 ((~(v124(constB15) <=> (~((~v90(constB15, bitIndex2)) | v90(constB15, bitIndex1) | (~v90(constB15, bitIndex0)))))) | (~v124(constB15)) | (~((~v90(constB15, bitIndex2)) | v90(constB15, bitIndex1) | (~v90(constB15, bitIndex0))))),
% 14.20/9.41 inference(tautology,[status(thm)],[])).
% 14.20/9.41 tff(6462,plain,
% 14.20/9.41 (~v124(constB15)),
% 14.20/9.41 inference(unit_resolution,[status(thm)],[6461, 6460, 6458])).
% 14.20/9.41 tff(6463,plain,
% 14.20/9.41 (((~![VarCurr: $i] : (v123(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)))))) | (v123(constB15) <=> (~((~v90(constB15, bitIndex2)) | v90(constB15, bitIndex1) | v90(constB15, bitIndex0))))) <=> ((~![VarCurr: $i] : (v123(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)))))) | (v123(constB15) <=> (~((~v90(constB15, bitIndex2)) | v90(constB15, bitIndex1) | v90(constB15, bitIndex0)))))),
% 14.20/9.41 inference(rewrite,[status(thm)],[])).
% 14.20/9.41 tff(6464,plain,
% 14.20/9.41 ((v123(constB15) <=> (~(v90(constB15, bitIndex0) | v90(constB15, bitIndex1) | (~v90(constB15, bitIndex2))))) <=> (v123(constB15) <=> (~((~v90(constB15, bitIndex2)) | v90(constB15, bitIndex1) | v90(constB15, bitIndex0))))),
% 14.20/9.41 inference(rewrite,[status(thm)],[])).
% 14.20/9.41 tff(6465,plain,
% 14.20/9.41 (((~![VarCurr: $i] : (v123(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)))))) | (v123(constB15) <=> (~(v90(constB15, bitIndex0) | v90(constB15, bitIndex1) | (~v90(constB15, bitIndex2)))))) <=> ((~![VarCurr: $i] : (v123(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)))))) | (v123(constB15) <=> (~((~v90(constB15, bitIndex2)) | v90(constB15, bitIndex1) | v90(constB15, bitIndex0)))))),
% 14.20/9.41 inference(monotonicity,[status(thm)],[6464])).
% 14.20/9.41 tff(6466,plain,
% 14.20/9.41 (((~![VarCurr: $i] : (v123(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)))))) | (v123(constB15) <=> (~(v90(constB15, bitIndex0) | v90(constB15, bitIndex1) | (~v90(constB15, bitIndex2)))))) <=> ((~![VarCurr: $i] : (v123(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)))))) | (v123(constB15) <=> (~((~v90(constB15, bitIndex2)) | v90(constB15, bitIndex1) | v90(constB15, bitIndex0)))))),
% 14.20/9.41 inference(transitivity,[status(thm)],[6465, 6463])).
% 14.20/9.41 tff(6467,plain,
% 14.20/9.41 ((~![VarCurr: $i] : (v123(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)))))) | (v123(constB15) <=> (~(v90(constB15, bitIndex0) | v90(constB15, bitIndex1) | (~v90(constB15, bitIndex2)))))),
% 14.20/9.41 inference(quant_inst,[status(thm)],[])).
% 14.20/9.41 tff(6468,plain,
% 14.20/9.41 ((~![VarCurr: $i] : (v123(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)))))) | (v123(constB15) <=> (~((~v90(constB15, bitIndex2)) | v90(constB15, bitIndex1) | v90(constB15, bitIndex0))))),
% 14.20/9.41 inference(modus_ponens,[status(thm)],[6467, 6466])).
% 14.20/9.41 tff(6469,plain,
% 14.20/9.41 (v123(constB15) <=> (~((~v90(constB15, bitIndex2)) | v90(constB15, bitIndex1) | v90(constB15, bitIndex0)))),
% 14.20/9.41 inference(unit_resolution,[status(thm)],[6468, 621])).
% 14.20/9.41 tff(6470,plain,
% 14.20/9.41 (((~v90(constB15, bitIndex2)) | v90(constB15, bitIndex1) | v90(constB15, bitIndex0)) | (~v90(constB15, bitIndex1))),
% 14.20/9.41 inference(tautology,[status(thm)],[])).
% 14.20/9.41 tff(6471,plain,
% 14.20/9.41 ((~v90(constB15, bitIndex2)) | v90(constB15, bitIndex1) | v90(constB15, bitIndex0)),
% 14.20/9.41 inference(unit_resolution,[status(thm)],[6470, 6385])).
% 14.20/9.41 tff(6472,plain,
% 14.20/9.41 ((~(v123(constB15) <=> (~((~v90(constB15, bitIndex2)) | v90(constB15, bitIndex1) | v90(constB15, bitIndex0))))) | (~v123(constB15)) | (~((~v90(constB15, bitIndex2)) | v90(constB15, bitIndex1) | v90(constB15, bitIndex0)))),
% 14.20/9.41 inference(tautology,[status(thm)],[])).
% 14.20/9.41 tff(6473,plain,
% 14.20/9.41 (~v123(constB15)),
% 14.20/9.41 inference(unit_resolution,[status(thm)],[6472, 6471, 6469])).
% 14.20/9.41 tff(6474,plain,
% 14.20/9.41 (((~![VarCurr: $i] : (v122(VarCurr) <=> (~(v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)))))) | (v122(constB15) <=> (~(v90(constB15, bitIndex2) | (~v90(constB15, bitIndex1)) | (~v90(constB15, bitIndex0)))))) <=> ((~![VarCurr: $i] : (v122(VarCurr) <=> (~(v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)))))) | (v122(constB15) <=> (~(v90(constB15, bitIndex2) | (~v90(constB15, bitIndex1)) | (~v90(constB15, bitIndex0))))))),
% 14.20/9.41 inference(rewrite,[status(thm)],[])).
% 14.20/9.41 tff(6475,plain,
% 14.20/9.41 ((v122(constB15) <=> (~(v90(constB15, bitIndex2) | (~v90(constB15, bitIndex0)) | (~v90(constB15, bitIndex1))))) <=> (v122(constB15) <=> (~(v90(constB15, bitIndex2) | (~v90(constB15, bitIndex1)) | (~v90(constB15, bitIndex0)))))),
% 14.20/9.41 inference(rewrite,[status(thm)],[])).
% 14.20/9.41 tff(6476,plain,
% 14.20/9.41 (((~![VarCurr: $i] : (v122(VarCurr) <=> (~(v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)))))) | (v122(constB15) <=> (~(v90(constB15, bitIndex2) | (~v90(constB15, bitIndex0)) | (~v90(constB15, bitIndex1)))))) <=> ((~![VarCurr: $i] : (v122(VarCurr) <=> (~(v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)))))) | (v122(constB15) <=> (~(v90(constB15, bitIndex2) | (~v90(constB15, bitIndex1)) | (~v90(constB15, bitIndex0))))))),
% 14.20/9.41 inference(monotonicity,[status(thm)],[6475])).
% 14.20/9.41 tff(6477,plain,
% 14.20/9.41 (((~![VarCurr: $i] : (v122(VarCurr) <=> (~(v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)))))) | (v122(constB15) <=> (~(v90(constB15, bitIndex2) | (~v90(constB15, bitIndex0)) | (~v90(constB15, bitIndex1)))))) <=> ((~![VarCurr: $i] : (v122(VarCurr) <=> (~(v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)))))) | (v122(constB15) <=> (~(v90(constB15, bitIndex2) | (~v90(constB15, bitIndex1)) | (~v90(constB15, bitIndex0))))))),
% 14.20/9.41 inference(transitivity,[status(thm)],[6476, 6474])).
% 14.20/9.41 tff(6478,plain,
% 14.20/9.41 ((~![VarCurr: $i] : (v122(VarCurr) <=> (~(v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)))))) | (v122(constB15) <=> (~(v90(constB15, bitIndex2) | (~v90(constB15, bitIndex0)) | (~v90(constB15, bitIndex1)))))),
% 14.20/9.41 inference(quant_inst,[status(thm)],[])).
% 14.20/9.41 tff(6479,plain,
% 14.20/9.41 ((~![VarCurr: $i] : (v122(VarCurr) <=> (~(v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)))))) | (v122(constB15) <=> (~(v90(constB15, bitIndex2) | (~v90(constB15, bitIndex1)) | (~v90(constB15, bitIndex0)))))),
% 14.20/9.41 inference(modus_ponens,[status(thm)],[6478, 6477])).
% 14.20/9.41 tff(6480,plain,
% 14.20/9.41 (v122(constB15) <=> (~(v90(constB15, bitIndex2) | (~v90(constB15, bitIndex1)) | (~v90(constB15, bitIndex0))))),
% 14.20/9.41 inference(unit_resolution,[status(thm)],[6479, 734])).
% 14.20/9.41 tff(6481,plain,
% 14.20/9.41 ((v90(constB15, bitIndex2) | (~v90(constB15, bitIndex1)) | (~v90(constB15, bitIndex0))) | (~v90(constB15, bitIndex2))),
% 14.20/9.41 inference(tautology,[status(thm)],[])).
% 14.20/9.41 tff(6482,plain,
% 14.20/9.41 (v90(constB15, bitIndex2) | (~v90(constB15, bitIndex1)) | (~v90(constB15, bitIndex0))),
% 14.20/9.41 inference(unit_resolution,[status(thm)],[6481, 6323])).
% 14.20/9.41 tff(6483,plain,
% 14.20/9.41 ((~(v122(constB15) <=> (~(v90(constB15, bitIndex2) | (~v90(constB15, bitIndex1)) | (~v90(constB15, bitIndex0)))))) | (~v122(constB15)) | (~(v90(constB15, bitIndex2) | (~v90(constB15, bitIndex1)) | (~v90(constB15, bitIndex0))))),
% 14.20/9.41 inference(tautology,[status(thm)],[])).
% 14.20/9.41 tff(6484,plain,
% 14.20/9.41 (~v122(constB15)),
% 14.20/9.41 inference(unit_resolution,[status(thm)],[6483, 6482, 6480])).
% 14.20/9.41 tff(6485,plain,
% 14.20/9.41 (((~![VarCurr: $i] : (v121(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex1)))))) | (v121(constB15) <=> (~(v90(constB15, bitIndex2) | (~v90(constB15, bitIndex1)) | v90(constB15, bitIndex0))))) <=> ((~![VarCurr: $i] : (v121(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex1)))))) | (v121(constB15) <=> (~(v90(constB15, bitIndex2) | (~v90(constB15, bitIndex1)) | v90(constB15, bitIndex0)))))),
% 14.20/9.41 inference(rewrite,[status(thm)],[])).
% 14.20/9.41 tff(6486,plain,
% 14.20/9.41 ((v121(constB15) <=> (~(v90(constB15, bitIndex0) | v90(constB15, bitIndex2) | (~v90(constB15, bitIndex1))))) <=> (v121(constB15) <=> (~(v90(constB15, bitIndex2) | (~v90(constB15, bitIndex1)) | v90(constB15, bitIndex0))))),
% 14.20/9.41 inference(rewrite,[status(thm)],[])).
% 14.20/9.41 tff(6487,plain,
% 14.20/9.41 (((~![VarCurr: $i] : (v121(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex1)))))) | (v121(constB15) <=> (~(v90(constB15, bitIndex0) | v90(constB15, bitIndex2) | (~v90(constB15, bitIndex1)))))) <=> ((~![VarCurr: $i] : (v121(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex1)))))) | (v121(constB15) <=> (~(v90(constB15, bitIndex2) | (~v90(constB15, bitIndex1)) | v90(constB15, bitIndex0)))))),
% 14.20/9.41 inference(monotonicity,[status(thm)],[6486])).
% 14.20/9.41 tff(6488,plain,
% 14.20/9.41 (((~![VarCurr: $i] : (v121(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex1)))))) | (v121(constB15) <=> (~(v90(constB15, bitIndex0) | v90(constB15, bitIndex2) | (~v90(constB15, bitIndex1)))))) <=> ((~![VarCurr: $i] : (v121(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex1)))))) | (v121(constB15) <=> (~(v90(constB15, bitIndex2) | (~v90(constB15, bitIndex1)) | v90(constB15, bitIndex0)))))),
% 14.20/9.41 inference(transitivity,[status(thm)],[6487, 6485])).
% 14.20/9.41 tff(6489,plain,
% 14.20/9.41 ((~![VarCurr: $i] : (v121(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex1)))))) | (v121(constB15) <=> (~(v90(constB15, bitIndex0) | v90(constB15, bitIndex2) | (~v90(constB15, bitIndex1)))))),
% 14.20/9.41 inference(quant_inst,[status(thm)],[])).
% 14.20/9.41 tff(6490,plain,
% 14.20/9.41 ((~![VarCurr: $i] : (v121(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex1)))))) | (v121(constB15) <=> (~(v90(constB15, bitIndex2) | (~v90(constB15, bitIndex1)) | v90(constB15, bitIndex0))))),
% 14.20/9.41 inference(modus_ponens,[status(thm)],[6489, 6488])).
% 14.20/9.41 tff(6491,plain,
% 14.20/9.41 (v121(constB15) <=> (~(v90(constB15, bitIndex2) | (~v90(constB15, bitIndex1)) | v90(constB15, bitIndex0)))),
% 14.20/9.41 inference(unit_resolution,[status(thm)],[6490, 849])).
% 14.20/9.41 tff(6492,plain,
% 14.20/9.41 ((v90(constB15, bitIndex2) | (~v90(constB15, bitIndex1)) | v90(constB15, bitIndex0)) | (~v90(constB15, bitIndex2))),
% 14.20/9.41 inference(tautology,[status(thm)],[])).
% 14.20/9.41 tff(6493,plain,
% 14.20/9.41 (v90(constB15, bitIndex2) | (~v90(constB15, bitIndex1)) | v90(constB15, bitIndex0)),
% 14.20/9.41 inference(unit_resolution,[status(thm)],[6492, 6323])).
% 14.20/9.41 tff(6494,plain,
% 14.20/9.41 ((~(v121(constB15) <=> (~(v90(constB15, bitIndex2) | (~v90(constB15, bitIndex1)) | v90(constB15, bitIndex0))))) | (~v121(constB15)) | (~(v90(constB15, bitIndex2) | (~v90(constB15, bitIndex1)) | v90(constB15, bitIndex0)))),
% 14.20/9.41 inference(tautology,[status(thm)],[])).
% 14.20/9.41 tff(6495,plain,
% 14.20/9.41 (~v121(constB15)),
% 14.20/9.41 inference(unit_resolution,[status(thm)],[6494, 6493, 6491])).
% 14.20/9.41 tff(6496,plain,
% 14.20/9.41 (((~![VarCurr: $i] : (v120(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)))))) | (v120(constB15) <=> (~(v90(constB15, bitIndex2) | v90(constB15, bitIndex1) | (~v90(constB15, bitIndex0)))))) <=> ((~![VarCurr: $i] : (v120(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)))))) | (v120(constB15) <=> (~(v90(constB15, bitIndex2) | v90(constB15, bitIndex1) | (~v90(constB15, bitIndex0))))))),
% 14.20/9.41 inference(rewrite,[status(thm)],[])).
% 14.20/9.41 tff(6497,plain,
% 14.20/9.42 ((v120(constB15) <=> (~(v90(constB15, bitIndex1) | v90(constB15, bitIndex2) | (~v90(constB15, bitIndex0))))) <=> (v120(constB15) <=> (~(v90(constB15, bitIndex2) | v90(constB15, bitIndex1) | (~v90(constB15, bitIndex0)))))),
% 14.20/9.42 inference(rewrite,[status(thm)],[])).
% 14.20/9.42 tff(6498,plain,
% 14.20/9.42 (((~![VarCurr: $i] : (v120(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)))))) | (v120(constB15) <=> (~(v90(constB15, bitIndex1) | v90(constB15, bitIndex2) | (~v90(constB15, bitIndex0)))))) <=> ((~![VarCurr: $i] : (v120(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)))))) | (v120(constB15) <=> (~(v90(constB15, bitIndex2) | v90(constB15, bitIndex1) | (~v90(constB15, bitIndex0))))))),
% 14.20/9.42 inference(monotonicity,[status(thm)],[6497])).
% 14.20/9.42 tff(6499,plain,
% 14.20/9.42 (((~![VarCurr: $i] : (v120(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)))))) | (v120(constB15) <=> (~(v90(constB15, bitIndex1) | v90(constB15, bitIndex2) | (~v90(constB15, bitIndex0)))))) <=> ((~![VarCurr: $i] : (v120(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)))))) | (v120(constB15) <=> (~(v90(constB15, bitIndex2) | v90(constB15, bitIndex1) | (~v90(constB15, bitIndex0))))))),
% 14.20/9.42 inference(transitivity,[status(thm)],[6498, 6496])).
% 14.20/9.42 tff(6500,plain,
% 14.20/9.42 ((~![VarCurr: $i] : (v120(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)))))) | (v120(constB15) <=> (~(v90(constB15, bitIndex1) | v90(constB15, bitIndex2) | (~v90(constB15, bitIndex0)))))),
% 14.20/9.42 inference(quant_inst,[status(thm)],[])).
% 14.20/9.42 tff(6501,plain,
% 14.20/9.42 ((~![VarCurr: $i] : (v120(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)))))) | (v120(constB15) <=> (~(v90(constB15, bitIndex2) | v90(constB15, bitIndex1) | (~v90(constB15, bitIndex0)))))),
% 14.20/9.42 inference(modus_ponens,[status(thm)],[6500, 6499])).
% 14.20/9.42 tff(6502,plain,
% 14.20/9.42 (v120(constB15) <=> (~(v90(constB15, bitIndex2) | v90(constB15, bitIndex1) | (~v90(constB15, bitIndex0))))),
% 14.20/9.42 inference(unit_resolution,[status(thm)],[6501, 966])).
% 14.20/9.42 tff(6503,plain,
% 14.20/9.42 ((v90(constB15, bitIndex2) | v90(constB15, bitIndex1) | (~v90(constB15, bitIndex0))) | (~v90(constB15, bitIndex2))),
% 14.20/9.42 inference(tautology,[status(thm)],[])).
% 14.20/9.42 tff(6504,plain,
% 14.20/9.42 (v90(constB15, bitIndex2) | v90(constB15, bitIndex1) | (~v90(constB15, bitIndex0))),
% 14.20/9.42 inference(unit_resolution,[status(thm)],[6503, 6323])).
% 14.20/9.42 tff(6505,plain,
% 14.20/9.42 ((~(v120(constB15) <=> (~(v90(constB15, bitIndex2) | v90(constB15, bitIndex1) | (~v90(constB15, bitIndex0)))))) | (~v120(constB15)) | (~(v90(constB15, bitIndex2) | v90(constB15, bitIndex1) | (~v90(constB15, bitIndex0))))),
% 14.20/9.42 inference(tautology,[status(thm)],[])).
% 14.20/9.42 tff(6506,plain,
% 14.20/9.42 (~v120(constB15)),
% 14.20/9.42 inference(unit_resolution,[status(thm)],[6505, 6504, 6502])).
% 14.20/9.42 tff(6507,plain,
% 14.20/9.42 (((~![VarCurr: $i] : (v124(VarCurr) | v123(VarCurr) | v122(VarCurr) | v121(VarCurr) | v120(VarCurr) | v119(VarCurr) | ![B: $i] : ((~less_3(B)) | (v130(VarCurr, B) <=> b001(B))))) | (v120(constB15) | v119(constB15) | v121(constB15) | v122(constB15) | v123(constB15) | v124(constB15) | ![B: $i] : ((~less_3(B)) | (v130(constB15, B) <=> b001(B))))) <=> ((~![VarCurr: $i] : (v124(VarCurr) | v123(VarCurr) | v122(VarCurr) | v121(VarCurr) | v120(VarCurr) | v119(VarCurr) | ![B: $i] : ((~less_3(B)) | (v130(VarCurr, B) <=> b001(B))))) | v120(constB15) | v119(constB15) | v121(constB15) | v122(constB15) | v123(constB15) | v124(constB15) | ![B: $i] : ((~less_3(B)) | (v130(constB15, B) <=> b001(B))))),
% 14.20/9.42 inference(rewrite,[status(thm)],[])).
% 14.20/9.42 tff(6508,plain,
% 14.20/9.42 ((v124(constB15) | v123(constB15) | v122(constB15) | v121(constB15) | v120(constB15) | v119(constB15) | ![B: $i] : ((~less_3(B)) | (v130(constB15, B) <=> b001(B)))) <=> (v120(constB15) | v119(constB15) | v121(constB15) | v122(constB15) | v123(constB15) | v124(constB15) | ![B: $i] : ((~less_3(B)) | (v130(constB15, B) <=> b001(B))))),
% 14.20/9.42 inference(rewrite,[status(thm)],[])).
% 14.20/9.42 tff(6509,plain,
% 14.20/9.42 (((~![VarCurr: $i] : (v124(VarCurr) | v123(VarCurr) | v122(VarCurr) | v121(VarCurr) | v120(VarCurr) | v119(VarCurr) | ![B: $i] : ((~less_3(B)) | (v130(VarCurr, B) <=> b001(B))))) | (v124(constB15) | v123(constB15) | v122(constB15) | v121(constB15) | v120(constB15) | v119(constB15) | ![B: $i] : ((~less_3(B)) | (v130(constB15, B) <=> b001(B))))) <=> ((~![VarCurr: $i] : (v124(VarCurr) | v123(VarCurr) | v122(VarCurr) | v121(VarCurr) | v120(VarCurr) | v119(VarCurr) | ![B: $i] : ((~less_3(B)) | (v130(VarCurr, B) <=> b001(B))))) | (v120(constB15) | v119(constB15) | v121(constB15) | v122(constB15) | v123(constB15) | v124(constB15) | ![B: $i] : ((~less_3(B)) | (v130(constB15, B) <=> b001(B)))))),
% 14.20/9.42 inference(monotonicity,[status(thm)],[6508])).
% 14.20/9.42 tff(6510,plain,
% 14.20/9.42 (((~![VarCurr: $i] : (v124(VarCurr) | v123(VarCurr) | v122(VarCurr) | v121(VarCurr) | v120(VarCurr) | v119(VarCurr) | ![B: $i] : ((~less_3(B)) | (v130(VarCurr, B) <=> b001(B))))) | (v124(constB15) | v123(constB15) | v122(constB15) | v121(constB15) | v120(constB15) | v119(constB15) | ![B: $i] : ((~less_3(B)) | (v130(constB15, B) <=> b001(B))))) <=> ((~![VarCurr: $i] : (v124(VarCurr) | v123(VarCurr) | v122(VarCurr) | v121(VarCurr) | v120(VarCurr) | v119(VarCurr) | ![B: $i] : ((~less_3(B)) | (v130(VarCurr, B) <=> b001(B))))) | v120(constB15) | v119(constB15) | v121(constB15) | v122(constB15) | v123(constB15) | v124(constB15) | ![B: $i] : ((~less_3(B)) | (v130(constB15, B) <=> b001(B))))),
% 14.20/9.42 inference(transitivity,[status(thm)],[6509, 6507])).
% 14.20/9.42 tff(6511,plain,
% 14.20/9.42 ((~![VarCurr: $i] : (v124(VarCurr) | v123(VarCurr) | v122(VarCurr) | v121(VarCurr) | v120(VarCurr) | v119(VarCurr) | ![B: $i] : ((~less_3(B)) | (v130(VarCurr, B) <=> b001(B))))) | (v124(constB15) | v123(constB15) | v122(constB15) | v121(constB15) | v120(constB15) | v119(constB15) | ![B: $i] : ((~less_3(B)) | (v130(constB15, B) <=> b001(B))))),
% 14.20/9.42 inference(quant_inst,[status(thm)],[])).
% 14.20/9.42 tff(6512,plain,
% 14.20/9.42 ((~![VarCurr: $i] : (v124(VarCurr) | v123(VarCurr) | v122(VarCurr) | v121(VarCurr) | v120(VarCurr) | v119(VarCurr) | ![B: $i] : ((~less_3(B)) | (v130(VarCurr, B) <=> b001(B))))) | v120(constB15) | v119(constB15) | v121(constB15) | v122(constB15) | v123(constB15) | v124(constB15) | ![B: $i] : ((~less_3(B)) | (v130(constB15, B) <=> b001(B)))),
% 14.20/9.42 inference(modus_ponens,[status(thm)],[6511, 6510])).
% 14.20/9.42 tff(6513,plain,
% 14.20/9.42 (v120(constB15) | v119(constB15) | v121(constB15) | v122(constB15) | v123(constB15) | v124(constB15) | ![B: $i] : ((~less_3(B)) | (v130(constB15, B) <=> b001(B)))),
% 14.20/9.42 inference(unit_resolution,[status(thm)],[6512, 5610])).
% 14.20/9.42 tff(6514,plain,
% 14.20/9.42 (![B: $i] : ((~less_3(B)) | (v130(constB15, B) <=> b001(B)))),
% 14.20/9.42 inference(unit_resolution,[status(thm)],[6513, 6506, 6495, 6484, 6473, 6462, 6451])).
% 14.20/9.42 tff(6515,plain,
% 14.20/9.42 (((~![B: $i] : ((~less_3(B)) | (v130(constB15, B) <=> b001(B)))) | ((~less_3(bitIndex2)) | (v130(constB15, bitIndex2) <=> b001(bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v130(constB15, B) <=> b001(B)))) | (~less_3(bitIndex2)) | (v130(constB15, bitIndex2) <=> b001(bitIndex2)))),
% 14.20/9.42 inference(rewrite,[status(thm)],[])).
% 14.20/9.42 tff(6516,plain,
% 14.20/9.42 ((~![B: $i] : ((~less_3(B)) | (v130(constB15, B) <=> b001(B)))) | ((~less_3(bitIndex2)) | (v130(constB15, bitIndex2) <=> b001(bitIndex2)))),
% 14.20/9.42 inference(quant_inst,[status(thm)],[])).
% 14.20/9.42 tff(6517,plain,
% 14.20/9.42 ((~![B: $i] : ((~less_3(B)) | (v130(constB15, B) <=> b001(B)))) | (~less_3(bitIndex2)) | (v130(constB15, bitIndex2) <=> b001(bitIndex2))),
% 14.20/9.42 inference(modus_ponens,[status(thm)],[6516, 6515])).
% 14.20/9.42 tff(6518,plain,
% 14.20/9.42 (v130(constB15, bitIndex2) <=> b001(bitIndex2)),
% 14.20/9.42 inference(unit_resolution,[status(thm)],[6517, 413, 6514])).
% 14.20/9.42 tff(6519,plain,
% 14.20/9.42 ((~(v130(constB15, bitIndex2) <=> b001(bitIndex2))) | (~v130(constB15, bitIndex2)) | b001(bitIndex2)),
% 14.20/9.42 inference(tautology,[status(thm)],[])).
% 14.20/9.42 tff(6520,plain,
% 14.20/9.42 ((~(v130(constB15, bitIndex2) <=> b001(bitIndex2))) | (~v130(constB15, bitIndex2))),
% 14.20/9.42 inference(unit_resolution,[status(thm)],[6519, 5625])).
% 14.20/9.42 tff(6521,plain,
% 14.20/9.42 (~v130(constB15, bitIndex2)),
% 14.20/9.42 inference(unit_resolution,[status(thm)],[6520, 6518])).
% 14.20/9.42 tff(6522,plain,
% 14.20/9.42 ((~(v127(constB15, bitIndex2) <=> v130(constB15, bitIndex2))) | (~v127(constB15, bitIndex2)) | v130(constB15, bitIndex2)),
% 14.20/9.42 inference(tautology,[status(thm)],[])).
% 14.20/9.42 tff(6523,plain,
% 14.20/9.42 (~v127(constB15, bitIndex2)),
% 14.20/9.42 inference(unit_resolution,[status(thm)],[6522, 6521, 6445])).
% 14.20/9.42 tff(6524,plain,
% 14.20/9.42 ((~(v129(constB16, bitIndex2) <=> v127(constB15, bitIndex2))) | (~v129(constB16, bitIndex2)) | v127(constB15, bitIndex2)),
% 14.20/9.42 inference(tautology,[status(thm)],[])).
% 14.20/9.42 tff(6525,plain,
% 14.20/9.42 (~v129(constB16, bitIndex2)),
% 14.20/9.42 inference(unit_resolution,[status(thm)],[6524, 6523, 6437])).
% 14.20/9.42 tff(6526,plain,
% 14.20/9.42 ((~(v90(constB16, bitIndex2) <=> v129(constB16, bitIndex2))) | (~v90(constB16, bitIndex2)) | v129(constB16, bitIndex2)),
% 14.20/9.42 inference(tautology,[status(thm)],[])).
% 14.20/9.42 tff(6527,plain,
% 14.20/9.42 (~v90(constB16, bitIndex2)),
% 14.20/9.42 inference(unit_resolution,[status(thm)],[6526, 6525, 6429])).
% 14.20/9.42 tff(6528,plain,
% 14.20/9.42 ((~(v90(constB17, bitIndex2) <=> v90(constB16, bitIndex2))) | (~v90(constB17, bitIndex2)) | v90(constB16, bitIndex2)),
% 14.20/9.42 inference(tautology,[status(thm)],[])).
% 14.20/9.42 tff(6529,plain,
% 14.20/9.42 (~v90(constB17, bitIndex2)),
% 14.20/9.42 inference(unit_resolution,[status(thm)],[6528, 6527, 4259])).
% 14.20/9.42 tff(6530,plain,
% 14.20/9.42 (((~![B: $i] : ((~less_3(B)) | (v90(constB17, B) <=> v90(constB16, B)))) | ((~less_3(bitIndex0)) | (v90(constB17, bitIndex0) <=> v90(constB16, bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v90(constB17, B) <=> v90(constB16, B)))) | (~less_3(bitIndex0)) | (v90(constB17, bitIndex0) <=> v90(constB16, bitIndex0)))),
% 14.20/9.42 inference(rewrite,[status(thm)],[])).
% 14.20/9.42 tff(6531,plain,
% 14.20/9.42 ((~![B: $i] : ((~less_3(B)) | (v90(constB17, B) <=> v90(constB16, B)))) | ((~less_3(bitIndex0)) | (v90(constB17, bitIndex0) <=> v90(constB16, bitIndex0)))),
% 14.20/9.42 inference(quant_inst,[status(thm)],[])).
% 14.20/9.42 tff(6532,plain,
% 14.20/9.42 ((~![B: $i] : ((~less_3(B)) | (v90(constB17, B) <=> v90(constB16, B)))) | (~less_3(bitIndex0)) | (v90(constB17, bitIndex0) <=> v90(constB16, bitIndex0))),
% 14.20/9.42 inference(modus_ponens,[status(thm)],[6531, 6530])).
% 14.20/9.42 tff(6533,plain,
% 14.20/9.42 (v90(constB17, bitIndex0) <=> v90(constB16, bitIndex0)),
% 14.20/9.42 inference(unit_resolution,[status(thm)],[6532, 5004, 4255])).
% 14.20/9.42 tff(6534,plain,
% 14.20/9.42 (((~![B: $i] : ((~less_3(B)) | (v90(constB16, B) <=> v129(constB16, B)))) | ((~less_3(bitIndex0)) | (v90(constB16, bitIndex0) <=> v129(constB16, bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v90(constB16, B) <=> v129(constB16, B)))) | (~less_3(bitIndex0)) | (v90(constB16, bitIndex0) <=> v129(constB16, bitIndex0)))),
% 14.20/9.42 inference(rewrite,[status(thm)],[])).
% 14.20/9.42 tff(6535,plain,
% 14.20/9.42 ((~![B: $i] : ((~less_3(B)) | (v90(constB16, B) <=> v129(constB16, B)))) | ((~less_3(bitIndex0)) | (v90(constB16, bitIndex0) <=> v129(constB16, bitIndex0)))),
% 14.20/9.42 inference(quant_inst,[status(thm)],[])).
% 14.20/9.42 tff(6536,plain,
% 14.20/9.42 ((~![B: $i] : ((~less_3(B)) | (v90(constB16, B) <=> v129(constB16, B)))) | (~less_3(bitIndex0)) | (v90(constB16, bitIndex0) <=> v129(constB16, bitIndex0))),
% 14.20/9.42 inference(modus_ponens,[status(thm)],[6535, 6534])).
% 14.20/9.42 tff(6537,plain,
% 14.20/9.42 (v90(constB16, bitIndex0) <=> v129(constB16, bitIndex0)),
% 14.20/9.42 inference(unit_resolution,[status(thm)],[6536, 5004, 6425])).
% 14.20/9.42 tff(6538,plain,
% 14.20/9.42 (((~![B: $i] : ((~less_3(B)) | (v129(constB16, B) <=> v127(constB15, B)))) | ((~less_3(bitIndex0)) | (v129(constB16, bitIndex0) <=> v127(constB15, bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v129(constB16, B) <=> v127(constB15, B)))) | (~less_3(bitIndex0)) | (v129(constB16, bitIndex0) <=> v127(constB15, bitIndex0)))),
% 14.20/9.42 inference(rewrite,[status(thm)],[])).
% 14.20/9.42 tff(6539,plain,
% 14.20/9.42 ((~![B: $i] : ((~less_3(B)) | (v129(constB16, B) <=> v127(constB15, B)))) | ((~less_3(bitIndex0)) | (v129(constB16, bitIndex0) <=> v127(constB15, bitIndex0)))),
% 14.20/9.42 inference(quant_inst,[status(thm)],[])).
% 14.20/9.42 tff(6540,plain,
% 14.20/9.42 ((~![B: $i] : ((~less_3(B)) | (v129(constB16, B) <=> v127(constB15, B)))) | (~less_3(bitIndex0)) | (v129(constB16, bitIndex0) <=> v127(constB15, bitIndex0))),
% 14.20/9.42 inference(modus_ponens,[status(thm)],[6539, 6538])).
% 14.20/9.42 tff(6541,plain,
% 14.20/9.42 (v129(constB16, bitIndex0) <=> v127(constB15, bitIndex0)),
% 14.20/9.42 inference(unit_resolution,[status(thm)],[6540, 5004, 6433])).
% 14.20/9.42 tff(6542,plain,
% 14.20/9.42 (((~![B: $i] : ((~less_3(B)) | (v127(constB15, B) <=> v130(constB15, B)))) | ((~less_3(bitIndex0)) | (v127(constB15, bitIndex0) <=> v130(constB15, bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v127(constB15, B) <=> v130(constB15, B)))) | (~less_3(bitIndex0)) | (v127(constB15, bitIndex0) <=> v130(constB15, bitIndex0)))),
% 14.20/9.42 inference(rewrite,[status(thm)],[])).
% 14.20/9.42 tff(6543,plain,
% 14.20/9.42 ((~![B: $i] : ((~less_3(B)) | (v127(constB15, B) <=> v130(constB15, B)))) | ((~less_3(bitIndex0)) | (v127(constB15, bitIndex0) <=> v130(constB15, bitIndex0)))),
% 14.20/9.42 inference(quant_inst,[status(thm)],[])).
% 14.20/9.42 tff(6544,plain,
% 14.20/9.42 ((~![B: $i] : ((~less_3(B)) | (v127(constB15, B) <=> v130(constB15, B)))) | (~less_3(bitIndex0)) | (v127(constB15, bitIndex0) <=> v130(constB15, bitIndex0))),
% 14.20/9.42 inference(modus_ponens,[status(thm)],[6543, 6542])).
% 14.20/9.42 tff(6545,plain,
% 14.20/9.42 (v127(constB15, bitIndex0) <=> v130(constB15, bitIndex0)),
% 14.20/9.42 inference(unit_resolution,[status(thm)],[6544, 5004, 6441])).
% 14.20/9.42 tff(6546,plain,
% 14.20/9.42 (((~![B: $i] : ((~less_3(B)) | (v130(constB15, B) <=> b001(B)))) | ((~less_3(bitIndex0)) | (v130(constB15, bitIndex0) <=> b001(bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v130(constB15, B) <=> b001(B)))) | (~less_3(bitIndex0)) | (v130(constB15, bitIndex0) <=> b001(bitIndex0)))),
% 14.20/9.42 inference(rewrite,[status(thm)],[])).
% 14.20/9.42 tff(6547,plain,
% 14.20/9.42 ((~![B: $i] : ((~less_3(B)) | (v130(constB15, B) <=> b001(B)))) | ((~less_3(bitIndex0)) | (v130(constB15, bitIndex0) <=> b001(bitIndex0)))),
% 14.20/9.42 inference(quant_inst,[status(thm)],[])).
% 14.20/9.42 tff(6548,plain,
% 14.20/9.42 ((~![B: $i] : ((~less_3(B)) | (v130(constB15, B) <=> b001(B)))) | (~less_3(bitIndex0)) | (v130(constB15, bitIndex0) <=> b001(bitIndex0))),
% 14.20/9.42 inference(modus_ponens,[status(thm)],[6547, 6546])).
% 14.20/9.42 tff(6549,plain,
% 14.20/9.42 (v130(constB15, bitIndex0) <=> b001(bitIndex0)),
% 14.20/9.42 inference(unit_resolution,[status(thm)],[6548, 5004, 6514])).
% 14.20/9.42 tff(6550,plain,
% 14.20/9.42 ((~(v130(constB15, bitIndex0) <=> b001(bitIndex0))) | v130(constB15, bitIndex0) | (~b001(bitIndex0))),
% 14.20/9.42 inference(tautology,[status(thm)],[])).
% 14.20/9.42 tff(6551,plain,
% 14.20/9.42 ((~(v130(constB15, bitIndex0) <=> b001(bitIndex0))) | v130(constB15, bitIndex0)),
% 14.20/9.42 inference(unit_resolution,[status(thm)],[6550, 5659])).
% 14.20/9.42 tff(6552,plain,
% 14.20/9.42 (v130(constB15, bitIndex0)),
% 14.20/9.42 inference(unit_resolution,[status(thm)],[6551, 6549])).
% 14.20/9.42 tff(6553,plain,
% 14.20/9.42 ((~(v127(constB15, bitIndex0) <=> v130(constB15, bitIndex0))) | v127(constB15, bitIndex0) | (~v130(constB15, bitIndex0))),
% 14.20/9.42 inference(tautology,[status(thm)],[])).
% 14.20/9.42 tff(6554,plain,
% 14.20/9.42 (v127(constB15, bitIndex0)),
% 14.20/9.42 inference(unit_resolution,[status(thm)],[6553, 6552, 6545])).
% 14.20/9.42 tff(6555,plain,
% 14.20/9.42 ((~(v129(constB16, bitIndex0) <=> v127(constB15, bitIndex0))) | v129(constB16, bitIndex0) | (~v127(constB15, bitIndex0))),
% 14.20/9.42 inference(tautology,[status(thm)],[])).
% 14.20/9.42 tff(6556,plain,
% 14.20/9.42 (v129(constB16, bitIndex0)),
% 14.20/9.42 inference(unit_resolution,[status(thm)],[6555, 6554, 6541])).
% 14.20/9.42 tff(6557,plain,
% 14.20/9.42 ((~(v90(constB16, bitIndex0) <=> v129(constB16, bitIndex0))) | v90(constB16, bitIndex0) | (~v129(constB16, bitIndex0))),
% 14.20/9.42 inference(tautology,[status(thm)],[])).
% 14.20/9.42 tff(6558,plain,
% 14.20/9.42 (v90(constB16, bitIndex0)),
% 14.20/9.42 inference(unit_resolution,[status(thm)],[6557, 6556, 6537])).
% 14.20/9.42 tff(6559,plain,
% 14.20/9.42 ((~(v90(constB17, bitIndex0) <=> v90(constB16, bitIndex0))) | v90(constB17, bitIndex0) | (~v90(constB16, bitIndex0))),
% 14.20/9.42 inference(tautology,[status(thm)],[])).
% 14.20/9.42 tff(6560,plain,
% 14.20/9.42 (v90(constB17, bitIndex0)),
% 14.20/9.42 inference(unit_resolution,[status(thm)],[6559, 6558, 6533])).
% 14.20/9.42 tff(6561,plain,
% 14.20/9.42 (((~![B: $i] : ((~less_3(B)) | (v90(constB17, B) <=> v90(constB16, B)))) | ((~less_3(bitIndex1)) | (v90(constB17, bitIndex1) <=> v90(constB16, bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v90(constB17, B) <=> v90(constB16, B)))) | (~less_3(bitIndex1)) | (v90(constB17, bitIndex1) <=> v90(constB16, bitIndex1)))),
% 14.20/9.42 inference(rewrite,[status(thm)],[])).
% 14.20/9.42 tff(6562,plain,
% 14.20/9.42 ((~![B: $i] : ((~less_3(B)) | (v90(constB17, B) <=> v90(constB16, B)))) | ((~less_3(bitIndex1)) | (v90(constB17, bitIndex1) <=> v90(constB16, bitIndex1)))),
% 14.20/9.42 inference(quant_inst,[status(thm)],[])).
% 14.20/9.42 tff(6563,plain,
% 14.20/9.42 ((~![B: $i] : ((~less_3(B)) | (v90(constB17, B) <=> v90(constB16, B)))) | (~less_3(bitIndex1)) | (v90(constB17, bitIndex1) <=> v90(constB16, bitIndex1))),
% 14.20/9.42 inference(modus_ponens,[status(thm)],[6562, 6561])).
% 14.20/9.42 tff(6564,plain,
% 14.20/9.42 (v90(constB17, bitIndex1) <=> v90(constB16, bitIndex1)),
% 14.20/9.42 inference(unit_resolution,[status(thm)],[6563, 5017, 4255])).
% 14.20/9.42 tff(6565,plain,
% 14.20/9.42 (((~![B: $i] : ((~less_3(B)) | (v90(constB16, B) <=> v129(constB16, B)))) | ((~less_3(bitIndex1)) | (v90(constB16, bitIndex1) <=> v129(constB16, bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v90(constB16, B) <=> v129(constB16, B)))) | (~less_3(bitIndex1)) | (v90(constB16, bitIndex1) <=> v129(constB16, bitIndex1)))),
% 14.20/9.42 inference(rewrite,[status(thm)],[])).
% 14.20/9.42 tff(6566,plain,
% 14.20/9.42 ((~![B: $i] : ((~less_3(B)) | (v90(constB16, B) <=> v129(constB16, B)))) | ((~less_3(bitIndex1)) | (v90(constB16, bitIndex1) <=> v129(constB16, bitIndex1)))),
% 14.20/9.42 inference(quant_inst,[status(thm)],[])).
% 14.20/9.42 tff(6567,plain,
% 14.20/9.42 ((~![B: $i] : ((~less_3(B)) | (v90(constB16, B) <=> v129(constB16, B)))) | (~less_3(bitIndex1)) | (v90(constB16, bitIndex1) <=> v129(constB16, bitIndex1))),
% 14.20/9.42 inference(modus_ponens,[status(thm)],[6566, 6565])).
% 14.20/9.42 tff(6568,plain,
% 14.20/9.42 (v90(constB16, bitIndex1) <=> v129(constB16, bitIndex1)),
% 14.20/9.42 inference(unit_resolution,[status(thm)],[6567, 5017, 6425])).
% 14.20/9.42 tff(6569,plain,
% 14.20/9.42 (((~![B: $i] : ((~less_3(B)) | (v129(constB16, B) <=> v127(constB15, B)))) | ((~less_3(bitIndex1)) | (v129(constB16, bitIndex1) <=> v127(constB15, bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v129(constB16, B) <=> v127(constB15, B)))) | (~less_3(bitIndex1)) | (v129(constB16, bitIndex1) <=> v127(constB15, bitIndex1)))),
% 14.20/9.42 inference(rewrite,[status(thm)],[])).
% 14.20/9.42 tff(6570,plain,
% 14.20/9.42 ((~![B: $i] : ((~less_3(B)) | (v129(constB16, B) <=> v127(constB15, B)))) | ((~less_3(bitIndex1)) | (v129(constB16, bitIndex1) <=> v127(constB15, bitIndex1)))),
% 14.20/9.42 inference(quant_inst,[status(thm)],[])).
% 14.20/9.42 tff(6571,plain,
% 14.20/9.42 ((~![B: $i] : ((~less_3(B)) | (v129(constB16, B) <=> v127(constB15, B)))) | (~less_3(bitIndex1)) | (v129(constB16, bitIndex1) <=> v127(constB15, bitIndex1))),
% 14.20/9.42 inference(modus_ponens,[status(thm)],[6570, 6569])).
% 14.20/9.42 tff(6572,plain,
% 14.20/9.42 (v129(constB16, bitIndex1) <=> v127(constB15, bitIndex1)),
% 14.20/9.42 inference(unit_resolution,[status(thm)],[6571, 5017, 6433])).
% 14.20/9.42 tff(6573,plain,
% 14.20/9.42 (((~![B: $i] : ((~less_3(B)) | (v127(constB15, B) <=> v130(constB15, B)))) | ((~less_3(bitIndex1)) | (v127(constB15, bitIndex1) <=> v130(constB15, bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v127(constB15, B) <=> v130(constB15, B)))) | (~less_3(bitIndex1)) | (v127(constB15, bitIndex1) <=> v130(constB15, bitIndex1)))),
% 14.20/9.42 inference(rewrite,[status(thm)],[])).
% 14.20/9.42 tff(6574,plain,
% 14.20/9.42 ((~![B: $i] : ((~less_3(B)) | (v127(constB15, B) <=> v130(constB15, B)))) | ((~less_3(bitIndex1)) | (v127(constB15, bitIndex1) <=> v130(constB15, bitIndex1)))),
% 14.20/9.42 inference(quant_inst,[status(thm)],[])).
% 14.20/9.42 tff(6575,plain,
% 14.20/9.42 ((~![B: $i] : ((~less_3(B)) | (v127(constB15, B) <=> v130(constB15, B)))) | (~less_3(bitIndex1)) | (v127(constB15, bitIndex1) <=> v130(constB15, bitIndex1))),
% 14.20/9.42 inference(modus_ponens,[status(thm)],[6574, 6573])).
% 14.20/9.42 tff(6576,plain,
% 14.20/9.42 (v127(constB15, bitIndex1) <=> v130(constB15, bitIndex1)),
% 14.20/9.42 inference(unit_resolution,[status(thm)],[6575, 5017, 6441])).
% 14.20/9.42 tff(6577,plain,
% 14.20/9.42 (((~![B: $i] : ((~less_3(B)) | (v130(constB15, B) <=> b001(B)))) | ((~less_3(bitIndex1)) | (v130(constB15, bitIndex1) <=> b001(bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v130(constB15, B) <=> b001(B)))) | (~less_3(bitIndex1)) | (v130(constB15, bitIndex1) <=> b001(bitIndex1)))),
% 14.20/9.42 inference(rewrite,[status(thm)],[])).
% 14.20/9.42 tff(6578,plain,
% 14.20/9.42 ((~![B: $i] : ((~less_3(B)) | (v130(constB15, B) <=> b001(B)))) | ((~less_3(bitIndex1)) | (v130(constB15, bitIndex1) <=> b001(bitIndex1)))),
% 14.20/9.42 inference(quant_inst,[status(thm)],[])).
% 14.20/9.42 tff(6579,plain,
% 14.20/9.42 ((~![B: $i] : ((~less_3(B)) | (v130(constB15, B) <=> b001(B)))) | (~less_3(bitIndex1)) | (v130(constB15, bitIndex1) <=> b001(bitIndex1))),
% 14.20/9.42 inference(modus_ponens,[status(thm)],[6578, 6577])).
% 14.20/9.42 tff(6580,plain,
% 14.20/9.42 (v130(constB15, bitIndex1) <=> b001(bitIndex1)),
% 14.20/9.42 inference(unit_resolution,[status(thm)],[6579, 5017, 6514])).
% 14.20/9.42 tff(6581,plain,
% 14.20/9.42 ((~(v130(constB15, bitIndex1) <=> b001(bitIndex1))) | (~v130(constB15, bitIndex1)) | b001(bitIndex1)),
% 14.20/9.42 inference(tautology,[status(thm)],[])).
% 14.20/9.42 tff(6582,plain,
% 14.20/9.42 ((~(v130(constB15, bitIndex1) <=> b001(bitIndex1))) | (~v130(constB15, bitIndex1))),
% 14.20/9.42 inference(unit_resolution,[status(thm)],[6581, 5693])).
% 14.20/9.42 tff(6583,plain,
% 14.20/9.42 (~v130(constB15, bitIndex1)),
% 14.20/9.42 inference(unit_resolution,[status(thm)],[6582, 6580])).
% 14.20/9.42 tff(6584,plain,
% 14.20/9.42 ((~(v127(constB15, bitIndex1) <=> v130(constB15, bitIndex1))) | (~v127(constB15, bitIndex1)) | v130(constB15, bitIndex1)),
% 14.20/9.42 inference(tautology,[status(thm)],[])).
% 14.20/9.42 tff(6585,plain,
% 14.20/9.42 (~v127(constB15, bitIndex1)),
% 14.20/9.42 inference(unit_resolution,[status(thm)],[6584, 6583, 6576])).
% 14.20/9.42 tff(6586,plain,
% 14.20/9.42 ((~(v129(constB16, bitIndex1) <=> v127(constB15, bitIndex1))) | (~v129(constB16, bitIndex1)) | v127(constB15, bitIndex1)),
% 14.20/9.42 inference(tautology,[status(thm)],[])).
% 14.20/9.42 tff(6587,plain,
% 14.20/9.42 (~v129(constB16, bitIndex1)),
% 14.20/9.42 inference(unit_resolution,[status(thm)],[6586, 6585, 6572])).
% 14.20/9.42 tff(6588,plain,
% 14.20/9.42 ((~(v90(constB16, bitIndex1) <=> v129(constB16, bitIndex1))) | (~v90(constB16, bitIndex1)) | v129(constB16, bitIndex1)),
% 14.20/9.42 inference(tautology,[status(thm)],[])).
% 14.20/9.42 tff(6589,plain,
% 14.20/9.42 (~v90(constB16, bitIndex1)),
% 14.20/9.42 inference(unit_resolution,[status(thm)],[6588, 6587, 6568])).
% 14.20/9.42 tff(6590,plain,
% 14.20/9.42 ((~(v90(constB17, bitIndex1) <=> v90(constB16, bitIndex1))) | (~v90(constB17, bitIndex1)) | v90(constB16, bitIndex1)),
% 14.20/9.42 inference(tautology,[status(thm)],[])).
% 14.20/9.42 tff(6591,plain,
% 14.20/9.42 (~v90(constB17, bitIndex1)),
% 14.20/9.42 inference(unit_resolution,[status(thm)],[6590, 6589, 6564])).
% 14.20/9.42 tff(6592,plain,
% 14.20/9.42 ((~(v90(constB17, bitIndex2) | v90(constB17, bitIndex1) | (~v90(constB17, bitIndex0)))) | v90(constB17, bitIndex2) | v90(constB17, bitIndex1) | (~v90(constB17, bitIndex0))),
% 14.20/9.42 inference(tautology,[status(thm)],[])).
% 14.20/9.42 tff(6593,plain,
% 14.20/9.42 (~(v90(constB17, bitIndex2) | v90(constB17, bitIndex1) | (~v90(constB17, bitIndex0)))),
% 14.20/9.42 inference(unit_resolution,[status(thm)],[6592, 6591, 6560, 6529])).
% 14.20/9.42 tff(6594,plain,
% 14.20/9.42 ((~(v120(constB17) <=> (~(v90(constB17, bitIndex2) | v90(constB17, bitIndex1) | (~v90(constB17, bitIndex0)))))) | v120(constB17) | (v90(constB17, bitIndex2) | v90(constB17, bitIndex1) | (~v90(constB17, bitIndex0)))),
% 14.20/9.42 inference(tautology,[status(thm)],[])).
% 14.20/9.42 tff(6595,plain,
% 14.20/9.42 (v120(constB17)),
% 14.20/9.42 inference(unit_resolution,[status(thm)],[6594, 6593, 4227])).
% 14.20/9.42 tff(6596,plain,
% 14.20/9.42 ((v119(constB17) | v120(constB17)) | (~v120(constB17))),
% 14.20/9.42 inference(tautology,[status(thm)],[])).
% 14.20/9.42 tff(6597,plain,
% 14.20/9.42 (v119(constB17) | v120(constB17)),
% 14.20/9.42 inference(unit_resolution,[status(thm)],[6596, 6595])).
% 14.20/9.42 tff(6598,plain,
% 14.20/9.42 ((~(v118(constB17) <=> (v119(constB17) | v120(constB17)))) | v118(constB17) | (~(v119(constB17) | v120(constB17)))),
% 14.20/9.42 inference(tautology,[status(thm)],[])).
% 14.20/9.42 tff(6599,plain,
% 14.20/9.42 (v118(constB17)),
% 14.20/9.42 inference(unit_resolution,[status(thm)],[6598, 6597, 4220])).
% 14.20/9.42 tff(6600,plain,
% 14.20/9.42 ((v118(constB17) | v121(constB17)) | (~v118(constB17))),
% 14.20/9.42 inference(tautology,[status(thm)],[])).
% 14.20/9.42 tff(6601,plain,
% 14.20/9.42 (v118(constB17) | v121(constB17)),
% 14.20/9.42 inference(unit_resolution,[status(thm)],[6600, 6599])).
% 14.20/9.42 tff(6602,plain,
% 14.20/9.42 ((~(v117(constB17) <=> (v118(constB17) | v121(constB17)))) | v117(constB17) | (~(v118(constB17) | v121(constB17)))),
% 14.20/9.42 inference(tautology,[status(thm)],[])).
% 14.20/9.42 tff(6603,plain,
% 14.20/9.42 (v117(constB17)),
% 14.20/9.42 inference(unit_resolution,[status(thm)],[6602, 6601, 4218])).
% 14.20/9.42 tff(6604,plain,
% 14.20/9.42 ((v117(constB17) | v122(constB17)) | (~v117(constB17))),
% 14.20/9.42 inference(tautology,[status(thm)],[])).
% 14.20/9.42 tff(6605,plain,
% 14.20/9.42 (v117(constB17) | v122(constB17)),
% 14.20/9.42 inference(unit_resolution,[status(thm)],[6604, 6603])).
% 14.20/9.42 tff(6606,plain,
% 14.20/9.42 ((~(v116(constB17) <=> (v117(constB17) | v122(constB17)))) | v116(constB17) | (~(v117(constB17) | v122(constB17)))),
% 14.20/9.42 inference(tautology,[status(thm)],[])).
% 14.20/9.42 tff(6607,plain,
% 14.20/9.42 (v116(constB17)),
% 14.20/9.42 inference(unit_resolution,[status(thm)],[6606, 6605, 4216])).
% 14.20/9.42 tff(6608,plain,
% 14.20/9.42 ((v116(constB17) | v123(constB17)) | (~v116(constB17))),
% 14.20/9.42 inference(tautology,[status(thm)],[])).
% 14.20/9.42 tff(6609,plain,
% 14.20/9.42 (v116(constB17) | v123(constB17)),
% 14.20/9.42 inference(unit_resolution,[status(thm)],[6608, 6607])).
% 14.20/9.42 tff(6610,plain,
% 14.20/9.42 ((~(v115(constB17) <=> (v116(constB17) | v123(constB17)))) | v115(constB17) | (~(v116(constB17) | v123(constB17)))),
% 14.20/9.42 inference(tautology,[status(thm)],[])).
% 14.20/9.42 tff(6611,plain,
% 14.20/9.42 (v115(constB17)),
% 14.20/9.42 inference(unit_resolution,[status(thm)],[6610, 6609, 4214])).
% 14.20/9.42 tff(6612,plain,
% 14.20/9.42 ((v115(constB17) | v124(constB17)) | (~v115(constB17))),
% 14.20/9.42 inference(tautology,[status(thm)],[])).
% 14.20/9.42 tff(6613,plain,
% 14.20/9.42 (v115(constB17) | v124(constB17)),
% 14.20/9.42 inference(unit_resolution,[status(thm)],[6612, 6611])).
% 14.20/9.42 tff(6614,plain,
% 14.20/9.42 ((~(v114(constB17) <=> (v115(constB17) | v124(constB17)))) | v114(constB17) | (~(v115(constB17) | v124(constB17)))),
% 14.20/9.42 inference(tautology,[status(thm)],[])).
% 14.20/9.42 tff(6615,plain,
% 14.20/9.42 (v114(constB17)),
% 14.20/9.42 inference(unit_resolution,[status(thm)],[6614, 6613, 4212])).
% 14.20/9.42 tff(6616,plain,
% 14.20/9.42 ((v114(constB17) | v125(constB17)) | (~v114(constB17))),
% 14.20/9.42 inference(tautology,[status(thm)],[])).
% 14.20/9.42 tff(6617,plain,
% 14.20/9.42 (v114(constB17) | v125(constB17)),
% 14.20/9.42 inference(unit_resolution,[status(thm)],[6616, 6615])).
% 14.20/9.42 tff(6618,plain,
% 14.20/9.42 ((~(v113(constB17) <=> (v114(constB17) | v125(constB17)))) | v113(constB17) | (~(v114(constB17) | v125(constB17)))),
% 14.20/9.42 inference(tautology,[status(thm)],[])).
% 14.20/9.42 tff(6619,plain,
% 14.20/9.42 (v113(constB17)),
% 14.20/9.42 inference(unit_resolution,[status(thm)],[6618, 6617, 4210])).
% 14.20/9.42 tff(6620,plain,
% 14.20/9.42 ((~![VarCurr: $i] : ((~v126(VarCurr)) <=> v111(VarCurr))) | ((~v126(constB17)) <=> v111(constB17))),
% 14.20/9.42 inference(quant_inst,[status(thm)],[])).
% 14.20/9.42 tff(6621,plain,
% 14.20/9.42 ((~v126(constB17)) <=> v111(constB17)),
% 14.20/9.42 inference(unit_resolution,[status(thm)],[6620, 5074])).
% 14.20/9.42 tff(6622,plain,
% 14.20/9.42 ((~![VarCurr: $i] : (v111(VarCurr) <=> v26(VarCurr))) | (v111(constB17) <=> v26(constB17))),
% 14.20/9.42 inference(quant_inst,[status(thm)],[])).
% 14.20/9.42 tff(6623,plain,
% 14.20/9.42 (v111(constB17) <=> v26(constB17)),
% 14.20/9.42 inference(unit_resolution,[status(thm)],[6622, 5086])).
% 14.20/9.42 tff(6624,plain,
% 14.20/9.42 ((~![VarCurr: $i] : (~v26(VarCurr))) | (~v26(constB17))),
% 14.20/9.42 inference(quant_inst,[status(thm)],[])).
% 14.20/9.42 tff(6625,plain,
% 14.20/9.42 (~v26(constB17)),
% 14.20/9.42 inference(unit_resolution,[status(thm)],[6624, 5098])).
% 14.20/9.42 tff(6626,plain,
% 14.20/9.42 ((~(v111(constB17) <=> v26(constB17))) | (~v111(constB17)) | v26(constB17)),
% 14.20/9.42 inference(tautology,[status(thm)],[])).
% 14.20/9.42 tff(6627,plain,
% 14.20/9.42 ((~(v111(constB17) <=> v26(constB17))) | (~v111(constB17))),
% 14.20/9.42 inference(unit_resolution,[status(thm)],[6626, 6625])).
% 14.20/9.42 tff(6628,plain,
% 14.20/9.42 (~v111(constB17)),
% 14.20/9.42 inference(unit_resolution,[status(thm)],[6627, 6623])).
% 14.20/9.42 tff(6629,plain,
% 14.20/9.42 ((~((~v126(constB17)) <=> v111(constB17))) | v126(constB17) | v111(constB17)),
% 14.20/9.42 inference(tautology,[status(thm)],[])).
% 14.20/9.42 tff(6630,plain,
% 14.20/9.42 ((~((~v126(constB17)) <=> v111(constB17))) | v126(constB17)),
% 14.20/9.42 inference(unit_resolution,[status(thm)],[6629, 6628])).
% 14.20/9.42 tff(6631,plain,
% 14.20/9.42 (v126(constB17)),
% 14.20/9.42 inference(unit_resolution,[status(thm)],[6630, 6621])).
% 14.20/9.42 tff(6632,plain,
% 14.20/9.42 ((~((~v113(constB17)) | (~v126(constB17)))) | (~v113(constB17)) | (~v126(constB17))),
% 14.20/9.42 inference(tautology,[status(thm)],[])).
% 14.20/9.42 tff(6633,plain,
% 14.20/9.42 ((~((~v113(constB17)) | (~v126(constB17)))) | (~v113(constB17))),
% 14.20/9.42 inference(unit_resolution,[status(thm)],[6632, 6631])).
% 14.20/9.42 tff(6634,plain,
% 14.20/9.42 (~((~v113(constB17)) | (~v126(constB17)))),
% 14.20/9.42 inference(unit_resolution,[status(thm)],[6633, 6619])).
% 14.20/9.42 tff(6635,plain,
% 14.20/9.42 ((~(v112(constB17) <=> (~((~v113(constB17)) | (~v126(constB17)))))) | v112(constB17) | ((~v113(constB17)) | (~v126(constB17)))),
% 14.20/9.42 inference(tautology,[status(thm)],[])).
% 14.20/9.42 tff(6636,plain,
% 14.20/9.42 (v112(constB17)),
% 14.20/9.42 inference(unit_resolution,[status(thm)],[6635, 6634, 4208])).
% 14.20/9.42 tff(6637,plain,
% 14.20/9.42 ((v111(constB17) | v112(constB17)) | (~v112(constB17))),
% 14.20/9.43 inference(tautology,[status(thm)],[])).
% 14.20/9.43 tff(6638,plain,
% 14.20/9.43 (v111(constB17) | v112(constB17)),
% 14.20/9.43 inference(unit_resolution,[status(thm)],[6637, 6636])).
% 14.20/9.43 tff(6639,plain,
% 14.20/9.43 ((~(v108(constB17) <=> (v111(constB17) | v112(constB17)))) | v108(constB17) | (~(v111(constB17) | v112(constB17)))),
% 14.20/9.43 inference(tautology,[status(thm)],[])).
% 14.20/9.43 tff(6640,plain,
% 14.20/9.43 (v108(constB17)),
% 14.20/9.43 inference(unit_resolution,[status(thm)],[6639, 6638, 4206])).
% 14.20/9.43 tff(6641,plain,
% 14.20/9.43 ((~(v110(constB18) <=> v108(constB17))) | v110(constB18) | (~v108(constB17))),
% 14.20/9.43 inference(tautology,[status(thm)],[])).
% 14.20/9.43 tff(6642,plain,
% 14.20/9.43 (v110(constB18)),
% 14.20/9.43 inference(unit_resolution,[status(thm)],[6641, 6640, 4204])).
% 14.20/9.43 tff(6643,plain,
% 14.20/9.43 ((~((~v101(constB18)) | (~v110(constB18)))) | (~v101(constB18)) | (~v110(constB18))),
% 14.20/9.43 inference(tautology,[status(thm)],[])).
% 14.20/9.43 tff(6644,plain,
% 14.20/9.43 (~((~v101(constB18)) | (~v110(constB18)))),
% 14.20/9.43 inference(unit_resolution,[status(thm)],[6643, 6642, 4200])).
% 14.20/9.43 tff(6645,plain,
% 14.20/9.43 ((~(v100(constB18) <=> (~((~v101(constB18)) | (~v110(constB18)))))) | v100(constB18) | ((~v101(constB18)) | (~v110(constB18)))),
% 14.20/9.43 inference(tautology,[status(thm)],[])).
% 14.20/9.43 tff(6646,plain,
% 14.20/9.43 (v100(constB18)),
% 14.20/9.43 inference(unit_resolution,[status(thm)],[6645, 6644, 4169])).
% 14.20/9.43 tff(6647,plain,
% 14.20/9.43 (((~![VarNext: $i] : ((~v100(VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v129(VarNext, B))))) | ((~v100(constB18)) | ![B: $i] : ((~less_3(B)) | (v90(constB18, B) <=> v129(constB18, B))))) <=> ((~![VarNext: $i] : ((~v100(VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v129(VarNext, B))))) | (~v100(constB18)) | ![B: $i] : ((~less_3(B)) | (v90(constB18, B) <=> v129(constB18, B))))),
% 14.20/9.43 inference(rewrite,[status(thm)],[])).
% 14.20/9.43 tff(6648,plain,
% 14.20/9.43 ((~![VarNext: $i] : ((~v100(VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v129(VarNext, B))))) | ((~v100(constB18)) | ![B: $i] : ((~less_3(B)) | (v90(constB18, B) <=> v129(constB18, B))))),
% 14.20/9.43 inference(quant_inst,[status(thm)],[])).
% 14.20/9.43 tff(6649,plain,
% 14.20/9.43 ((~![VarNext: $i] : ((~v100(VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v129(VarNext, B))))) | (~v100(constB18)) | ![B: $i] : ((~less_3(B)) | (v90(constB18, B) <=> v129(constB18, B)))),
% 14.20/9.43 inference(modus_ponens,[status(thm)],[6648, 6647])).
% 14.20/9.43 tff(6650,plain,
% 14.20/9.43 ((~v100(constB18)) | ![B: $i] : ((~less_3(B)) | (v90(constB18, B) <=> v129(constB18, B)))),
% 14.20/9.43 inference(unit_resolution,[status(thm)],[6649, 5134])).
% 14.20/9.43 tff(6651,plain,
% 14.20/9.43 (![B: $i] : ((~less_3(B)) | (v90(constB18, B) <=> v129(constB18, B)))),
% 14.20/9.43 inference(unit_resolution,[status(thm)],[6650, 6646])).
% 14.20/9.43 tff(6652,plain,
% 14.20/9.43 (((~![B: $i] : ((~less_3(B)) | (v90(constB18, B) <=> v129(constB18, B)))) | ((~less_3(bitIndex2)) | (v90(constB18, bitIndex2) <=> v129(constB18, bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v90(constB18, B) <=> v129(constB18, B)))) | (~less_3(bitIndex2)) | (v90(constB18, bitIndex2) <=> v129(constB18, bitIndex2)))),
% 14.20/9.43 inference(rewrite,[status(thm)],[])).
% 14.20/9.43 tff(6653,plain,
% 14.20/9.43 ((~![B: $i] : ((~less_3(B)) | (v90(constB18, B) <=> v129(constB18, B)))) | ((~less_3(bitIndex2)) | (v90(constB18, bitIndex2) <=> v129(constB18, bitIndex2)))),
% 14.20/9.43 inference(quant_inst,[status(thm)],[])).
% 14.20/9.43 tff(6654,plain,
% 14.20/9.43 ((~![B: $i] : ((~less_3(B)) | (v90(constB18, B) <=> v129(constB18, B)))) | (~less_3(bitIndex2)) | (v90(constB18, bitIndex2) <=> v129(constB18, bitIndex2))),
% 14.20/9.43 inference(modus_ponens,[status(thm)],[6653, 6652])).
% 14.20/9.43 tff(6655,plain,
% 14.20/9.43 (v90(constB18, bitIndex2) <=> v129(constB18, bitIndex2)),
% 14.20/9.43 inference(unit_resolution,[status(thm)],[6654, 413, 6651])).
% 14.20/9.43 tff(6656,plain,
% 14.20/9.43 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v129(VarNext, B) <=> v127(VarCurr, B))))) | ((~nextState(constB17, constB18)) | ![B: $i] : ((~less_3(B)) | (v129(constB18, B) <=> v127(constB17, B))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v129(VarNext, B) <=> v127(VarCurr, B))))) | (~nextState(constB17, constB18)) | ![B: $i] : ((~less_3(B)) | (v129(constB18, B) <=> v127(constB17, B))))),
% 14.20/9.43 inference(rewrite,[status(thm)],[])).
% 14.20/9.43 tff(6657,plain,
% 14.20/9.43 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v129(VarNext, B) <=> v127(VarCurr, B))))) | ((~nextState(constB17, constB18)) | ![B: $i] : ((~less_3(B)) | (v129(constB18, B) <=> v127(constB17, B))))),
% 14.20/9.43 inference(quant_inst,[status(thm)],[])).
% 14.20/9.43 tff(6658,plain,
% 14.20/9.43 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v129(VarNext, B) <=> v127(VarCurr, B))))) | (~nextState(constB17, constB18)) | ![B: $i] : ((~less_3(B)) | (v129(constB18, B) <=> v127(constB17, B)))),
% 14.20/9.43 inference(modus_ponens,[status(thm)],[6657, 6656])).
% 14.20/9.43 tff(6659,plain,
% 14.20/9.43 (![B: $i] : ((~less_3(B)) | (v129(constB18, B) <=> v127(constB17, B)))),
% 14.20/9.43 inference(unit_resolution,[status(thm)],[6658, 4165, 5156])).
% 14.20/9.43 tff(6660,plain,
% 14.20/9.43 (((~![B: $i] : ((~less_3(B)) | (v129(constB18, B) <=> v127(constB17, B)))) | ((~less_3(bitIndex2)) | (v129(constB18, bitIndex2) <=> v127(constB17, bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v129(constB18, B) <=> v127(constB17, B)))) | (~less_3(bitIndex2)) | (v129(constB18, bitIndex2) <=> v127(constB17, bitIndex2)))),
% 14.20/9.43 inference(rewrite,[status(thm)],[])).
% 14.20/9.43 tff(6661,plain,
% 14.20/9.43 ((~![B: $i] : ((~less_3(B)) | (v129(constB18, B) <=> v127(constB17, B)))) | ((~less_3(bitIndex2)) | (v129(constB18, bitIndex2) <=> v127(constB17, bitIndex2)))),
% 14.20/9.43 inference(quant_inst,[status(thm)],[])).
% 14.20/9.43 tff(6662,plain,
% 14.20/9.43 ((~![B: $i] : ((~less_3(B)) | (v129(constB18, B) <=> v127(constB17, B)))) | (~less_3(bitIndex2)) | (v129(constB18, bitIndex2) <=> v127(constB17, bitIndex2))),
% 14.20/9.43 inference(modus_ponens,[status(thm)],[6661, 6660])).
% 14.20/9.43 tff(6663,plain,
% 14.20/9.43 (v129(constB18, bitIndex2) <=> v127(constB17, bitIndex2)),
% 14.20/9.43 inference(unit_resolution,[status(thm)],[6662, 413, 6659])).
% 14.20/9.43 tff(6664,plain,
% 14.20/9.43 (((~![VarCurr: $i] : (v111(VarCurr) | ![B: $i] : ((~less_3(B)) | (v127(VarCurr, B) <=> v130(VarCurr, B))))) | (v111(constB17) | ![B: $i] : ((~less_3(B)) | (v127(constB17, B) <=> v130(constB17, B))))) <=> ((~![VarCurr: $i] : (v111(VarCurr) | ![B: $i] : ((~less_3(B)) | (v127(VarCurr, B) <=> v130(VarCurr, B))))) | v111(constB17) | ![B: $i] : ((~less_3(B)) | (v127(constB17, B) <=> v130(constB17, B))))),
% 14.20/9.43 inference(rewrite,[status(thm)],[])).
% 14.20/9.43 tff(6665,plain,
% 14.20/9.43 ((~![VarCurr: $i] : (v111(VarCurr) | ![B: $i] : ((~less_3(B)) | (v127(VarCurr, B) <=> v130(VarCurr, B))))) | (v111(constB17) | ![B: $i] : ((~less_3(B)) | (v127(constB17, B) <=> v130(constB17, B))))),
% 14.20/9.43 inference(quant_inst,[status(thm)],[])).
% 14.20/9.43 tff(6666,plain,
% 14.20/9.43 ((~![VarCurr: $i] : (v111(VarCurr) | ![B: $i] : ((~less_3(B)) | (v127(VarCurr, B) <=> v130(VarCurr, B))))) | v111(constB17) | ![B: $i] : ((~less_3(B)) | (v127(constB17, B) <=> v130(constB17, B)))),
% 14.20/9.43 inference(modus_ponens,[status(thm)],[6665, 6664])).
% 14.20/9.43 tff(6667,plain,
% 14.20/9.43 (![B: $i] : ((~less_3(B)) | (v127(constB17, B) <=> v130(constB17, B)))),
% 14.20/9.43 inference(unit_resolution,[status(thm)],[6666, 5177, 6628])).
% 14.20/9.43 tff(6668,plain,
% 14.20/9.43 (((~![B: $i] : ((~less_3(B)) | (v127(constB17, B) <=> v130(constB17, B)))) | ((~less_3(bitIndex2)) | (v127(constB17, bitIndex2) <=> v130(constB17, bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v127(constB17, B) <=> v130(constB17, B)))) | (~less_3(bitIndex2)) | (v127(constB17, bitIndex2) <=> v130(constB17, bitIndex2)))),
% 14.20/9.43 inference(rewrite,[status(thm)],[])).
% 14.20/9.43 tff(6669,plain,
% 14.20/9.43 ((~![B: $i] : ((~less_3(B)) | (v127(constB17, B) <=> v130(constB17, B)))) | ((~less_3(bitIndex2)) | (v127(constB17, bitIndex2) <=> v130(constB17, bitIndex2)))),
% 14.20/9.43 inference(quant_inst,[status(thm)],[])).
% 14.20/9.43 tff(6670,plain,
% 14.20/9.43 ((~![B: $i] : ((~less_3(B)) | (v127(constB17, B) <=> v130(constB17, B)))) | (~less_3(bitIndex2)) | (v127(constB17, bitIndex2) <=> v130(constB17, bitIndex2))),
% 14.20/9.43 inference(modus_ponens,[status(thm)],[6669, 6668])).
% 14.20/9.43 tff(6671,plain,
% 14.20/9.43 (v127(constB17, bitIndex2) <=> v130(constB17, bitIndex2)),
% 14.20/9.43 inference(unit_resolution,[status(thm)],[6670, 413, 6667])).
% 14.20/9.43 tff(6672,plain,
% 14.20/9.43 (((~![VarCurr: $i] : ((~v120(VarCurr)) | ![B: $i] : ((~less_3(B)) | (v130(VarCurr, B) <=> b010(B))))) | ((~v120(constB17)) | ![B: $i] : ((~less_3(B)) | (v130(constB17, B) <=> b010(B))))) <=> ((~![VarCurr: $i] : ((~v120(VarCurr)) | ![B: $i] : ((~less_3(B)) | (v130(VarCurr, B) <=> b010(B))))) | (~v120(constB17)) | ![B: $i] : ((~less_3(B)) | (v130(constB17, B) <=> b010(B))))),
% 14.20/9.43 inference(rewrite,[status(thm)],[])).
% 14.20/9.43 tff(6673,plain,
% 14.20/9.43 ((~![VarCurr: $i] : ((~v120(VarCurr)) | ![B: $i] : ((~less_3(B)) | (v130(VarCurr, B) <=> b010(B))))) | ((~v120(constB17)) | ![B: $i] : ((~less_3(B)) | (v130(constB17, B) <=> b010(B))))),
% 14.20/9.43 inference(quant_inst,[status(thm)],[])).
% 14.20/9.43 tff(6674,plain,
% 14.20/9.43 ((~![VarCurr: $i] : ((~v120(VarCurr)) | ![B: $i] : ((~less_3(B)) | (v130(VarCurr, B) <=> b010(B))))) | (~v120(constB17)) | ![B: $i] : ((~less_3(B)) | (v130(constB17, B) <=> b010(B)))),
% 14.20/9.43 inference(modus_ponens,[status(thm)],[6673, 6672])).
% 14.20/9.43 tff(6675,plain,
% 14.20/9.43 ((~v120(constB17)) | ![B: $i] : ((~less_3(B)) | (v130(constB17, B) <=> b010(B)))),
% 14.20/9.43 inference(unit_resolution,[status(thm)],[6674, 5797])).
% 14.20/9.43 tff(6676,plain,
% 14.20/9.43 (![B: $i] : ((~less_3(B)) | (v130(constB17, B) <=> b010(B)))),
% 14.20/9.43 inference(unit_resolution,[status(thm)],[6675, 6595])).
% 14.20/9.43 tff(6677,plain,
% 14.20/9.43 (((~![B: $i] : ((~less_3(B)) | (v130(constB17, B) <=> b010(B)))) | ((~less_3(bitIndex2)) | (v130(constB17, bitIndex2) <=> b010(bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v130(constB17, B) <=> b010(B)))) | (~less_3(bitIndex2)) | (v130(constB17, bitIndex2) <=> b010(bitIndex2)))),
% 14.20/9.43 inference(rewrite,[status(thm)],[])).
% 14.20/9.43 tff(6678,plain,
% 14.20/9.43 ((~![B: $i] : ((~less_3(B)) | (v130(constB17, B) <=> b010(B)))) | ((~less_3(bitIndex2)) | (v130(constB17, bitIndex2) <=> b010(bitIndex2)))),
% 14.20/9.43 inference(quant_inst,[status(thm)],[])).
% 14.20/9.43 tff(6679,plain,
% 14.20/9.43 ((~![B: $i] : ((~less_3(B)) | (v130(constB17, B) <=> b010(B)))) | (~less_3(bitIndex2)) | (v130(constB17, bitIndex2) <=> b010(bitIndex2))),
% 14.20/9.43 inference(modus_ponens,[status(thm)],[6678, 6677])).
% 14.20/9.43 tff(6680,plain,
% 14.20/9.43 (v130(constB17, bitIndex2) <=> b010(bitIndex2)),
% 14.20/9.43 inference(unit_resolution,[status(thm)],[6679, 413, 6676])).
% 14.20/9.43 tff(6681,plain,
% 14.20/9.43 ((~(v130(constB17, bitIndex2) <=> b010(bitIndex2))) | (~v130(constB17, bitIndex2)) | b010(bitIndex2)),
% 14.20/9.43 inference(tautology,[status(thm)],[])).
% 14.20/9.43 tff(6682,plain,
% 14.20/9.43 ((~(v130(constB17, bitIndex2) <=> b010(bitIndex2))) | (~v130(constB17, bitIndex2))),
% 14.20/9.43 inference(unit_resolution,[status(thm)],[6681, 5809])).
% 14.20/9.43 tff(6683,plain,
% 14.20/9.43 (~v130(constB17, bitIndex2)),
% 14.20/9.43 inference(unit_resolution,[status(thm)],[6682, 6680])).
% 14.20/9.43 tff(6684,plain,
% 14.20/9.43 ((~(v127(constB17, bitIndex2) <=> v130(constB17, bitIndex2))) | (~v127(constB17, bitIndex2)) | v130(constB17, bitIndex2)),
% 14.20/9.43 inference(tautology,[status(thm)],[])).
% 14.20/9.43 tff(6685,plain,
% 14.20/9.43 (~v127(constB17, bitIndex2)),
% 14.20/9.43 inference(unit_resolution,[status(thm)],[6684, 6683, 6671])).
% 14.20/9.43 tff(6686,plain,
% 14.20/9.43 ((~(v129(constB18, bitIndex2) <=> v127(constB17, bitIndex2))) | (~v129(constB18, bitIndex2)) | v127(constB17, bitIndex2)),
% 14.20/9.43 inference(tautology,[status(thm)],[])).
% 14.20/9.43 tff(6687,plain,
% 14.20/9.43 (~v129(constB18, bitIndex2)),
% 14.20/9.43 inference(unit_resolution,[status(thm)],[6686, 6685, 6663])).
% 14.20/9.43 tff(6688,plain,
% 14.20/9.43 ((~(v90(constB18, bitIndex2) <=> v129(constB18, bitIndex2))) | (~v90(constB18, bitIndex2)) | v129(constB18, bitIndex2)),
% 14.20/9.43 inference(tautology,[status(thm)],[])).
% 14.20/9.43 tff(6689,plain,
% 14.20/9.43 (~v90(constB18, bitIndex2)),
% 14.20/9.43 inference(unit_resolution,[status(thm)],[6688, 6687, 6655])).
% 14.20/9.43 tff(6690,plain,
% 14.20/9.43 ((~(v90(constB19, bitIndex2) <=> v90(constB18, bitIndex2))) | (~v90(constB19, bitIndex2)) | v90(constB18, bitIndex2)),
% 14.20/9.43 inference(tautology,[status(thm)],[])).
% 14.20/9.43 tff(6691,plain,
% 14.20/9.43 (~v90(constB19, bitIndex2)),
% 14.20/9.43 inference(unit_resolution,[status(thm)],[6690, 6689, 4162])).
% 14.20/9.43 tff(6692,plain,
% 14.20/9.43 (((~![B: $i] : ((~less_3(B)) | (v90(constB19, B) <=> v90(constB18, B)))) | ((~less_3(bitIndex0)) | (v90(constB19, bitIndex0) <=> v90(constB18, bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v90(constB19, B) <=> v90(constB18, B)))) | (~less_3(bitIndex0)) | (v90(constB19, bitIndex0) <=> v90(constB18, bitIndex0)))),
% 14.20/9.43 inference(rewrite,[status(thm)],[])).
% 14.20/9.43 tff(6693,plain,
% 14.20/9.43 ((~![B: $i] : ((~less_3(B)) | (v90(constB19, B) <=> v90(constB18, B)))) | ((~less_3(bitIndex0)) | (v90(constB19, bitIndex0) <=> v90(constB18, bitIndex0)))),
% 14.20/9.43 inference(quant_inst,[status(thm)],[])).
% 14.20/9.43 tff(6694,plain,
% 14.20/9.43 ((~![B: $i] : ((~less_3(B)) | (v90(constB19, B) <=> v90(constB18, B)))) | (~less_3(bitIndex0)) | (v90(constB19, bitIndex0) <=> v90(constB18, bitIndex0))),
% 14.20/9.43 inference(modus_ponens,[status(thm)],[6693, 6692])).
% 14.20/9.43 tff(6695,plain,
% 14.20/9.43 (v90(constB19, bitIndex0) <=> v90(constB18, bitIndex0)),
% 14.20/9.43 inference(unit_resolution,[status(thm)],[6694, 5004, 4158])).
% 14.20/9.43 tff(6696,plain,
% 14.20/9.43 (((~![B: $i] : ((~less_3(B)) | (v90(constB18, B) <=> v129(constB18, B)))) | ((~less_3(bitIndex0)) | (v90(constB18, bitIndex0) <=> v129(constB18, bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v90(constB18, B) <=> v129(constB18, B)))) | (~less_3(bitIndex0)) | (v90(constB18, bitIndex0) <=> v129(constB18, bitIndex0)))),
% 14.20/9.43 inference(rewrite,[status(thm)],[])).
% 14.20/9.43 tff(6697,plain,
% 14.20/9.43 ((~![B: $i] : ((~less_3(B)) | (v90(constB18, B) <=> v129(constB18, B)))) | ((~less_3(bitIndex0)) | (v90(constB18, bitIndex0) <=> v129(constB18, bitIndex0)))),
% 14.20/9.43 inference(quant_inst,[status(thm)],[])).
% 14.20/9.43 tff(6698,plain,
% 14.20/9.43 ((~![B: $i] : ((~less_3(B)) | (v90(constB18, B) <=> v129(constB18, B)))) | (~less_3(bitIndex0)) | (v90(constB18, bitIndex0) <=> v129(constB18, bitIndex0))),
% 14.20/9.43 inference(modus_ponens,[status(thm)],[6697, 6696])).
% 14.20/9.43 tff(6699,plain,
% 14.20/9.43 (v90(constB18, bitIndex0) <=> v129(constB18, bitIndex0)),
% 14.20/9.43 inference(unit_resolution,[status(thm)],[6698, 5004, 6651])).
% 14.20/9.43 tff(6700,plain,
% 14.20/9.43 (((~![B: $i] : ((~less_3(B)) | (v129(constB18, B) <=> v127(constB17, B)))) | ((~less_3(bitIndex0)) | (v129(constB18, bitIndex0) <=> v127(constB17, bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v129(constB18, B) <=> v127(constB17, B)))) | (~less_3(bitIndex0)) | (v129(constB18, bitIndex0) <=> v127(constB17, bitIndex0)))),
% 14.20/9.43 inference(rewrite,[status(thm)],[])).
% 14.20/9.43 tff(6701,plain,
% 14.20/9.43 ((~![B: $i] : ((~less_3(B)) | (v129(constB18, B) <=> v127(constB17, B)))) | ((~less_3(bitIndex0)) | (v129(constB18, bitIndex0) <=> v127(constB17, bitIndex0)))),
% 14.20/9.43 inference(quant_inst,[status(thm)],[])).
% 14.20/9.43 tff(6702,plain,
% 14.20/9.43 ((~![B: $i] : ((~less_3(B)) | (v129(constB18, B) <=> v127(constB17, B)))) | (~less_3(bitIndex0)) | (v129(constB18, bitIndex0) <=> v127(constB17, bitIndex0))),
% 14.20/9.43 inference(modus_ponens,[status(thm)],[6701, 6700])).
% 14.20/9.43 tff(6703,plain,
% 14.20/9.43 (v129(constB18, bitIndex0) <=> v127(constB17, bitIndex0)),
% 14.20/9.43 inference(unit_resolution,[status(thm)],[6702, 5004, 6659])).
% 14.20/9.43 tff(6704,plain,
% 14.20/9.43 (((~![B: $i] : ((~less_3(B)) | (v127(constB17, B) <=> v130(constB17, B)))) | ((~less_3(bitIndex0)) | (v127(constB17, bitIndex0) <=> v130(constB17, bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v127(constB17, B) <=> v130(constB17, B)))) | (~less_3(bitIndex0)) | (v127(constB17, bitIndex0) <=> v130(constB17, bitIndex0)))),
% 14.20/9.43 inference(rewrite,[status(thm)],[])).
% 14.20/9.43 tff(6705,plain,
% 14.20/9.43 ((~![B: $i] : ((~less_3(B)) | (v127(constB17, B) <=> v130(constB17, B)))) | ((~less_3(bitIndex0)) | (v127(constB17, bitIndex0) <=> v130(constB17, bitIndex0)))),
% 14.20/9.43 inference(quant_inst,[status(thm)],[])).
% 14.20/9.43 tff(6706,plain,
% 14.20/9.43 ((~![B: $i] : ((~less_3(B)) | (v127(constB17, B) <=> v130(constB17, B)))) | (~less_3(bitIndex0)) | (v127(constB17, bitIndex0) <=> v130(constB17, bitIndex0))),
% 14.20/9.43 inference(modus_ponens,[status(thm)],[6705, 6704])).
% 14.20/9.43 tff(6707,plain,
% 14.20/9.43 (v127(constB17, bitIndex0) <=> v130(constB17, bitIndex0)),
% 14.20/9.43 inference(unit_resolution,[status(thm)],[6706, 5004, 6667])).
% 14.20/9.43 tff(6708,plain,
% 14.20/9.43 (((~![B: $i] : ((~less_3(B)) | (v130(constB17, B) <=> b010(B)))) | ((~less_3(bitIndex0)) | (v130(constB17, bitIndex0) <=> b010(bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v130(constB17, B) <=> b010(B)))) | (~less_3(bitIndex0)) | (v130(constB17, bitIndex0) <=> b010(bitIndex0)))),
% 14.20/9.43 inference(rewrite,[status(thm)],[])).
% 14.20/9.43 tff(6709,plain,
% 14.20/9.43 ((~![B: $i] : ((~less_3(B)) | (v130(constB17, B) <=> b010(B)))) | ((~less_3(bitIndex0)) | (v130(constB17, bitIndex0) <=> b010(bitIndex0)))),
% 14.20/9.43 inference(quant_inst,[status(thm)],[])).
% 14.20/9.43 tff(6710,plain,
% 14.20/9.43 ((~![B: $i] : ((~less_3(B)) | (v130(constB17, B) <=> b010(B)))) | (~less_3(bitIndex0)) | (v130(constB17, bitIndex0) <=> b010(bitIndex0))),
% 14.20/9.43 inference(modus_ponens,[status(thm)],[6709, 6708])).
% 14.20/9.43 tff(6711,plain,
% 14.20/9.43 (v130(constB17, bitIndex0) <=> b010(bitIndex0)),
% 14.20/9.43 inference(unit_resolution,[status(thm)],[6710, 5004, 6676])).
% 14.20/9.43 tff(6712,plain,
% 14.20/9.43 ((~(v130(constB17, bitIndex0) <=> b010(bitIndex0))) | (~v130(constB17, bitIndex0)) | b010(bitIndex0)),
% 14.20/9.43 inference(tautology,[status(thm)],[])).
% 14.20/9.43 tff(6713,plain,
% 14.20/9.43 ((~(v130(constB17, bitIndex0) <=> b010(bitIndex0))) | (~v130(constB17, bitIndex0))),
% 14.20/9.43 inference(unit_resolution,[status(thm)],[6712, 5843])).
% 14.20/9.43 tff(6714,plain,
% 14.20/9.43 (~v130(constB17, bitIndex0)),
% 14.20/9.43 inference(unit_resolution,[status(thm)],[6713, 6711])).
% 14.20/9.43 tff(6715,plain,
% 14.20/9.43 ((~(v127(constB17, bitIndex0) <=> v130(constB17, bitIndex0))) | (~v127(constB17, bitIndex0)) | v130(constB17, bitIndex0)),
% 14.20/9.43 inference(tautology,[status(thm)],[])).
% 14.20/9.43 tff(6716,plain,
% 14.20/9.43 (~v127(constB17, bitIndex0)),
% 14.20/9.43 inference(unit_resolution,[status(thm)],[6715, 6714, 6707])).
% 14.20/9.43 tff(6717,plain,
% 14.20/9.43 ((~(v129(constB18, bitIndex0) <=> v127(constB17, bitIndex0))) | (~v129(constB18, bitIndex0)) | v127(constB17, bitIndex0)),
% 14.20/9.43 inference(tautology,[status(thm)],[])).
% 14.20/9.43 tff(6718,plain,
% 14.20/9.43 (~v129(constB18, bitIndex0)),
% 14.20/9.43 inference(unit_resolution,[status(thm)],[6717, 6716, 6703])).
% 14.20/9.43 tff(6719,plain,
% 14.20/9.43 ((~(v90(constB18, bitIndex0) <=> v129(constB18, bitIndex0))) | (~v90(constB18, bitIndex0)) | v129(constB18, bitIndex0)),
% 14.20/9.43 inference(tautology,[status(thm)],[])).
% 14.20/9.43 tff(6720,plain,
% 14.20/9.43 (~v90(constB18, bitIndex0)),
% 14.20/9.43 inference(unit_resolution,[status(thm)],[6719, 6718, 6699])).
% 14.20/9.43 tff(6721,plain,
% 14.20/9.43 ((~(v90(constB19, bitIndex0) <=> v90(constB18, bitIndex0))) | (~v90(constB19, bitIndex0)) | v90(constB18, bitIndex0)),
% 14.20/9.43 inference(tautology,[status(thm)],[])).
% 14.20/9.43 tff(6722,plain,
% 14.20/9.43 (~v90(constB19, bitIndex0)),
% 14.20/9.43 inference(unit_resolution,[status(thm)],[6721, 6720, 6695])).
% 14.20/9.43 tff(6723,plain,
% 14.20/9.43 (((~![B: $i] : ((~less_3(B)) | (v90(constB19, B) <=> v90(constB18, B)))) | ((~less_3(bitIndex1)) | (v90(constB19, bitIndex1) <=> v90(constB18, bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v90(constB19, B) <=> v90(constB18, B)))) | (~less_3(bitIndex1)) | (v90(constB19, bitIndex1) <=> v90(constB18, bitIndex1)))),
% 14.20/9.43 inference(rewrite,[status(thm)],[])).
% 14.20/9.43 tff(6724,plain,
% 14.20/9.43 ((~![B: $i] : ((~less_3(B)) | (v90(constB19, B) <=> v90(constB18, B)))) | ((~less_3(bitIndex1)) | (v90(constB19, bitIndex1) <=> v90(constB18, bitIndex1)))),
% 14.20/9.43 inference(quant_inst,[status(thm)],[])).
% 14.20/9.43 tff(6725,plain,
% 14.20/9.43 ((~![B: $i] : ((~less_3(B)) | (v90(constB19, B) <=> v90(constB18, B)))) | (~less_3(bitIndex1)) | (v90(constB19, bitIndex1) <=> v90(constB18, bitIndex1))),
% 14.20/9.43 inference(modus_ponens,[status(thm)],[6724, 6723])).
% 14.20/9.43 tff(6726,plain,
% 14.20/9.43 (v90(constB19, bitIndex1) <=> v90(constB18, bitIndex1)),
% 14.20/9.43 inference(unit_resolution,[status(thm)],[6725, 5017, 4158])).
% 14.20/9.43 tff(6727,plain,
% 14.20/9.43 (((~![B: $i] : ((~less_3(B)) | (v90(constB18, B) <=> v129(constB18, B)))) | ((~less_3(bitIndex1)) | (v90(constB18, bitIndex1) <=> v129(constB18, bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v90(constB18, B) <=> v129(constB18, B)))) | (~less_3(bitIndex1)) | (v90(constB18, bitIndex1) <=> v129(constB18, bitIndex1)))),
% 14.20/9.43 inference(rewrite,[status(thm)],[])).
% 14.20/9.43 tff(6728,plain,
% 14.20/9.43 ((~![B: $i] : ((~less_3(B)) | (v90(constB18, B) <=> v129(constB18, B)))) | ((~less_3(bitIndex1)) | (v90(constB18, bitIndex1) <=> v129(constB18, bitIndex1)))),
% 14.20/9.43 inference(quant_inst,[status(thm)],[])).
% 14.20/9.43 tff(6729,plain,
% 14.20/9.43 ((~![B: $i] : ((~less_3(B)) | (v90(constB18, B) <=> v129(constB18, B)))) | (~less_3(bitIndex1)) | (v90(constB18, bitIndex1) <=> v129(constB18, bitIndex1))),
% 14.20/9.43 inference(modus_ponens,[status(thm)],[6728, 6727])).
% 14.20/9.43 tff(6730,plain,
% 14.20/9.43 (v90(constB18, bitIndex1) <=> v129(constB18, bitIndex1)),
% 14.20/9.43 inference(unit_resolution,[status(thm)],[6729, 5017, 6651])).
% 14.20/9.43 tff(6731,plain,
% 14.20/9.43 (((~![B: $i] : ((~less_3(B)) | (v129(constB18, B) <=> v127(constB17, B)))) | ((~less_3(bitIndex1)) | (v129(constB18, bitIndex1) <=> v127(constB17, bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v129(constB18, B) <=> v127(constB17, B)))) | (~less_3(bitIndex1)) | (v129(constB18, bitIndex1) <=> v127(constB17, bitIndex1)))),
% 14.20/9.43 inference(rewrite,[status(thm)],[])).
% 14.20/9.43 tff(6732,plain,
% 14.20/9.43 ((~![B: $i] : ((~less_3(B)) | (v129(constB18, B) <=> v127(constB17, B)))) | ((~less_3(bitIndex1)) | (v129(constB18, bitIndex1) <=> v127(constB17, bitIndex1)))),
% 14.20/9.43 inference(quant_inst,[status(thm)],[])).
% 14.20/9.43 tff(6733,plain,
% 14.20/9.43 ((~![B: $i] : ((~less_3(B)) | (v129(constB18, B) <=> v127(constB17, B)))) | (~less_3(bitIndex1)) | (v129(constB18, bitIndex1) <=> v127(constB17, bitIndex1))),
% 14.20/9.43 inference(modus_ponens,[status(thm)],[6732, 6731])).
% 14.20/9.43 tff(6734,plain,
% 14.20/9.43 (v129(constB18, bitIndex1) <=> v127(constB17, bitIndex1)),
% 14.20/9.43 inference(unit_resolution,[status(thm)],[6733, 5017, 6659])).
% 14.20/9.43 tff(6735,plain,
% 14.20/9.43 (((~![B: $i] : ((~less_3(B)) | (v127(constB17, B) <=> v130(constB17, B)))) | ((~less_3(bitIndex1)) | (v127(constB17, bitIndex1) <=> v130(constB17, bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v127(constB17, B) <=> v130(constB17, B)))) | (~less_3(bitIndex1)) | (v127(constB17, bitIndex1) <=> v130(constB17, bitIndex1)))),
% 14.20/9.43 inference(rewrite,[status(thm)],[])).
% 14.20/9.43 tff(6736,plain,
% 14.20/9.43 ((~![B: $i] : ((~less_3(B)) | (v127(constB17, B) <=> v130(constB17, B)))) | ((~less_3(bitIndex1)) | (v127(constB17, bitIndex1) <=> v130(constB17, bitIndex1)))),
% 14.20/9.43 inference(quant_inst,[status(thm)],[])).
% 14.20/9.43 tff(6737,plain,
% 14.20/9.43 ((~![B: $i] : ((~less_3(B)) | (v127(constB17, B) <=> v130(constB17, B)))) | (~less_3(bitIndex1)) | (v127(constB17, bitIndex1) <=> v130(constB17, bitIndex1))),
% 14.20/9.43 inference(modus_ponens,[status(thm)],[6736, 6735])).
% 14.20/9.43 tff(6738,plain,
% 14.20/9.43 (v127(constB17, bitIndex1) <=> v130(constB17, bitIndex1)),
% 14.20/9.43 inference(unit_resolution,[status(thm)],[6737, 5017, 6667])).
% 14.20/9.43 tff(6739,plain,
% 14.20/9.43 (((~![B: $i] : ((~less_3(B)) | (v130(constB17, B) <=> b010(B)))) | ((~less_3(bitIndex1)) | (v130(constB17, bitIndex1) <=> b010(bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v130(constB17, B) <=> b010(B)))) | (~less_3(bitIndex1)) | (v130(constB17, bitIndex1) <=> b010(bitIndex1)))),
% 14.20/9.43 inference(rewrite,[status(thm)],[])).
% 14.20/9.43 tff(6740,plain,
% 14.20/9.43 ((~![B: $i] : ((~less_3(B)) | (v130(constB17, B) <=> b010(B)))) | ((~less_3(bitIndex1)) | (v130(constB17, bitIndex1) <=> b010(bitIndex1)))),
% 14.20/9.43 inference(quant_inst,[status(thm)],[])).
% 14.20/9.43 tff(6741,plain,
% 14.20/9.43 ((~![B: $i] : ((~less_3(B)) | (v130(constB17, B) <=> b010(B)))) | (~less_3(bitIndex1)) | (v130(constB17, bitIndex1) <=> b010(bitIndex1))),
% 14.20/9.43 inference(modus_ponens,[status(thm)],[6740, 6739])).
% 14.20/9.43 tff(6742,plain,
% 14.20/9.43 (v130(constB17, bitIndex1) <=> b010(bitIndex1)),
% 14.20/9.43 inference(unit_resolution,[status(thm)],[6741, 5017, 6676])).
% 14.20/9.43 tff(6743,plain,
% 14.20/9.43 ((~(v130(constB17, bitIndex1) <=> b010(bitIndex1))) | v130(constB17, bitIndex1) | (~b010(bitIndex1))),
% 14.20/9.43 inference(tautology,[status(thm)],[])).
% 14.20/9.43 tff(6744,plain,
% 14.20/9.43 ((~(v130(constB17, bitIndex1) <=> b010(bitIndex1))) | v130(constB17, bitIndex1)),
% 14.20/9.43 inference(unit_resolution,[status(thm)],[6743, 5877])).
% 14.20/9.43 tff(6745,plain,
% 14.20/9.43 (v130(constB17, bitIndex1)),
% 14.20/9.43 inference(unit_resolution,[status(thm)],[6744, 6742])).
% 14.20/9.43 tff(6746,plain,
% 14.20/9.43 ((~(v127(constB17, bitIndex1) <=> v130(constB17, bitIndex1))) | v127(constB17, bitIndex1) | (~v130(constB17, bitIndex1))),
% 14.20/9.43 inference(tautology,[status(thm)],[])).
% 14.20/9.43 tff(6747,plain,
% 14.20/9.43 (v127(constB17, bitIndex1)),
% 14.20/9.43 inference(unit_resolution,[status(thm)],[6746, 6745, 6738])).
% 14.20/9.43 tff(6748,plain,
% 14.20/9.43 ((~(v129(constB18, bitIndex1) <=> v127(constB17, bitIndex1))) | v129(constB18, bitIndex1) | (~v127(constB17, bitIndex1))),
% 14.20/9.43 inference(tautology,[status(thm)],[])).
% 14.20/9.43 tff(6749,plain,
% 14.20/9.43 (v129(constB18, bitIndex1)),
% 14.20/9.43 inference(unit_resolution,[status(thm)],[6748, 6747, 6734])).
% 14.20/9.43 tff(6750,plain,
% 14.20/9.43 ((~(v90(constB18, bitIndex1) <=> v129(constB18, bitIndex1))) | v90(constB18, bitIndex1) | (~v129(constB18, bitIndex1))),
% 14.20/9.43 inference(tautology,[status(thm)],[])).
% 14.20/9.43 tff(6751,plain,
% 14.20/9.43 (v90(constB18, bitIndex1)),
% 14.20/9.43 inference(unit_resolution,[status(thm)],[6750, 6749, 6730])).
% 14.20/9.43 tff(6752,plain,
% 14.20/9.43 ((~(v90(constB19, bitIndex1) <=> v90(constB18, bitIndex1))) | v90(constB19, bitIndex1) | (~v90(constB18, bitIndex1))),
% 14.20/9.43 inference(tautology,[status(thm)],[])).
% 14.20/9.43 tff(6753,plain,
% 14.20/9.43 (v90(constB19, bitIndex1)),
% 14.20/9.43 inference(unit_resolution,[status(thm)],[6752, 6751, 6726])).
% 14.20/9.43 tff(6754,plain,
% 14.20/9.43 ((~(v90(constB19, bitIndex2) | (~v90(constB19, bitIndex1)) | v90(constB19, bitIndex0))) | v90(constB19, bitIndex2) | (~v90(constB19, bitIndex1)) | v90(constB19, bitIndex0)),
% 14.20/9.43 inference(tautology,[status(thm)],[])).
% 14.20/9.43 tff(6755,plain,
% 14.20/9.43 (~(v90(constB19, bitIndex2) | (~v90(constB19, bitIndex1)) | v90(constB19, bitIndex0))),
% 14.20/9.43 inference(unit_resolution,[status(thm)],[6754, 6753, 6722, 6691])).
% 14.20/9.43 tff(6756,plain,
% 14.20/9.43 ((~(v121(constB19) <=> (~(v90(constB19, bitIndex2) | (~v90(constB19, bitIndex1)) | v90(constB19, bitIndex0))))) | v121(constB19) | (v90(constB19, bitIndex2) | (~v90(constB19, bitIndex1)) | v90(constB19, bitIndex0))),
% 14.20/9.43 inference(tautology,[status(thm)],[])).
% 14.20/9.43 tff(6757,plain,
% 14.20/9.43 (v121(constB19)),
% 14.20/9.43 inference(unit_resolution,[status(thm)],[6756, 6755, 4130])).
% 14.20/9.43 tff(6758,plain,
% 14.20/9.43 ((v118(constB19) | v121(constB19)) | (~v121(constB19))),
% 14.20/9.43 inference(tautology,[status(thm)],[])).
% 14.20/9.43 tff(6759,plain,
% 14.20/9.43 (v118(constB19) | v121(constB19)),
% 14.20/9.43 inference(unit_resolution,[status(thm)],[6758, 6757])).
% 14.20/9.43 tff(6760,plain,
% 14.20/9.43 ((~(v117(constB19) <=> (v118(constB19) | v121(constB19)))) | v117(constB19) | (~(v118(constB19) | v121(constB19)))),
% 14.20/9.43 inference(tautology,[status(thm)],[])).
% 14.20/9.43 tff(6761,plain,
% 14.20/9.43 (v117(constB19)),
% 14.20/9.43 inference(unit_resolution,[status(thm)],[6760, 6759, 4123])).
% 14.20/9.43 tff(6762,plain,
% 14.20/9.43 ((v117(constB19) | v122(constB19)) | (~v117(constB19))),
% 14.20/9.43 inference(tautology,[status(thm)],[])).
% 14.20/9.43 tff(6763,plain,
% 14.20/9.43 (v117(constB19) | v122(constB19)),
% 14.20/9.43 inference(unit_resolution,[status(thm)],[6762, 6761])).
% 14.20/9.43 tff(6764,plain,
% 14.20/9.43 ((~(v116(constB19) <=> (v117(constB19) | v122(constB19)))) | v116(constB19) | (~(v117(constB19) | v122(constB19)))),
% 14.20/9.43 inference(tautology,[status(thm)],[])).
% 14.20/9.43 tff(6765,plain,
% 14.20/9.43 (v116(constB19)),
% 14.20/9.43 inference(unit_resolution,[status(thm)],[6764, 6763, 4121])).
% 14.20/9.43 tff(6766,plain,
% 14.20/9.43 ((v116(constB19) | v123(constB19)) | (~v116(constB19))),
% 14.20/9.43 inference(tautology,[status(thm)],[])).
% 14.20/9.43 tff(6767,plain,
% 14.20/9.43 (v116(constB19) | v123(constB19)),
% 14.20/9.43 inference(unit_resolution,[status(thm)],[6766, 6765])).
% 14.20/9.43 tff(6768,plain,
% 14.20/9.43 ((~(v115(constB19) <=> (v116(constB19) | v123(constB19)))) | v115(constB19) | (~(v116(constB19) | v123(constB19)))),
% 14.20/9.43 inference(tautology,[status(thm)],[])).
% 14.20/9.43 tff(6769,plain,
% 14.20/9.43 (v115(constB19)),
% 14.20/9.43 inference(unit_resolution,[status(thm)],[6768, 6767, 4119])).
% 14.20/9.43 tff(6770,plain,
% 14.20/9.43 ((v115(constB19) | v124(constB19)) | (~v115(constB19))),
% 14.20/9.43 inference(tautology,[status(thm)],[])).
% 14.20/9.43 tff(6771,plain,
% 14.20/9.43 (v115(constB19) | v124(constB19)),
% 14.20/9.43 inference(unit_resolution,[status(thm)],[6770, 6769])).
% 14.20/9.43 tff(6772,plain,
% 14.20/9.43 ((~(v114(constB19) <=> (v115(constB19) | v124(constB19)))) | v114(constB19) | (~(v115(constB19) | v124(constB19)))),
% 14.20/9.43 inference(tautology,[status(thm)],[])).
% 14.20/9.43 tff(6773,plain,
% 14.20/9.43 (v114(constB19)),
% 14.20/9.43 inference(unit_resolution,[status(thm)],[6772, 6771, 4117])).
% 14.20/9.43 tff(6774,plain,
% 14.20/9.43 ((v114(constB19) | v125(constB19)) | (~v114(constB19))),
% 14.20/9.43 inference(tautology,[status(thm)],[])).
% 14.20/9.43 tff(6775,plain,
% 14.20/9.43 (v114(constB19) | v125(constB19)),
% 14.20/9.43 inference(unit_resolution,[status(thm)],[6774, 6773])).
% 14.20/9.43 tff(6776,plain,
% 14.20/9.43 ((~(v113(constB19) <=> (v114(constB19) | v125(constB19)))) | v113(constB19) | (~(v114(constB19) | v125(constB19)))),
% 14.20/9.43 inference(tautology,[status(thm)],[])).
% 14.20/9.43 tff(6777,plain,
% 14.20/9.43 (v113(constB19)),
% 14.20/9.43 inference(unit_resolution,[status(thm)],[6776, 6775, 4115])).
% 14.20/9.43 tff(6778,plain,
% 14.20/9.43 ((~![VarCurr: $i] : ((~v126(VarCurr)) <=> v111(VarCurr))) | ((~v126(constB19)) <=> v111(constB19))),
% 14.20/9.43 inference(quant_inst,[status(thm)],[])).
% 14.20/9.43 tff(6779,plain,
% 14.20/9.43 ((~v126(constB19)) <=> v111(constB19)),
% 14.20/9.43 inference(unit_resolution,[status(thm)],[6778, 5074])).
% 14.20/9.43 tff(6780,plain,
% 14.20/9.43 ((~![VarCurr: $i] : (v111(VarCurr) <=> v26(VarCurr))) | (v111(constB19) <=> v26(constB19))),
% 14.20/9.44 inference(quant_inst,[status(thm)],[])).
% 14.20/9.44 tff(6781,plain,
% 14.20/9.44 (v111(constB19) <=> v26(constB19)),
% 14.20/9.44 inference(unit_resolution,[status(thm)],[6780, 5086])).
% 14.20/9.44 tff(6782,plain,
% 14.20/9.44 ((~![VarCurr: $i] : (~v26(VarCurr))) | (~v26(constB19))),
% 14.20/9.44 inference(quant_inst,[status(thm)],[])).
% 14.20/9.44 tff(6783,plain,
% 14.20/9.44 (~v26(constB19)),
% 14.20/9.44 inference(unit_resolution,[status(thm)],[6782, 5098])).
% 14.20/9.44 tff(6784,plain,
% 14.20/9.44 ((~(v111(constB19) <=> v26(constB19))) | (~v111(constB19)) | v26(constB19)),
% 14.20/9.44 inference(tautology,[status(thm)],[])).
% 14.20/9.44 tff(6785,plain,
% 14.20/9.44 ((~(v111(constB19) <=> v26(constB19))) | (~v111(constB19))),
% 14.20/9.44 inference(unit_resolution,[status(thm)],[6784, 6783])).
% 14.20/9.44 tff(6786,plain,
% 14.20/9.44 (~v111(constB19)),
% 14.20/9.44 inference(unit_resolution,[status(thm)],[6785, 6781])).
% 14.20/9.44 tff(6787,plain,
% 14.20/9.44 ((~((~v126(constB19)) <=> v111(constB19))) | v126(constB19) | v111(constB19)),
% 14.20/9.44 inference(tautology,[status(thm)],[])).
% 14.20/9.44 tff(6788,plain,
% 14.20/9.44 ((~((~v126(constB19)) <=> v111(constB19))) | v126(constB19)),
% 14.20/9.44 inference(unit_resolution,[status(thm)],[6787, 6786])).
% 14.20/9.44 tff(6789,plain,
% 14.20/9.44 (v126(constB19)),
% 14.20/9.44 inference(unit_resolution,[status(thm)],[6788, 6779])).
% 14.20/9.44 tff(6790,plain,
% 14.20/9.44 ((~((~v113(constB19)) | (~v126(constB19)))) | (~v113(constB19)) | (~v126(constB19))),
% 14.20/9.44 inference(tautology,[status(thm)],[])).
% 14.20/9.44 tff(6791,plain,
% 14.20/9.44 ((~((~v113(constB19)) | (~v126(constB19)))) | (~v113(constB19))),
% 14.20/9.44 inference(unit_resolution,[status(thm)],[6790, 6789])).
% 14.20/9.44 tff(6792,plain,
% 14.20/9.44 (~((~v113(constB19)) | (~v126(constB19)))),
% 14.20/9.44 inference(unit_resolution,[status(thm)],[6791, 6777])).
% 14.20/9.44 tff(6793,plain,
% 14.20/9.44 ((~(v112(constB19) <=> (~((~v113(constB19)) | (~v126(constB19)))))) | v112(constB19) | ((~v113(constB19)) | (~v126(constB19)))),
% 14.20/9.44 inference(tautology,[status(thm)],[])).
% 14.20/9.44 tff(6794,plain,
% 14.20/9.44 (v112(constB19)),
% 14.20/9.44 inference(unit_resolution,[status(thm)],[6793, 6792, 4113])).
% 14.20/9.44 tff(6795,plain,
% 14.20/9.44 ((v111(constB19) | v112(constB19)) | (~v112(constB19))),
% 14.20/9.44 inference(tautology,[status(thm)],[])).
% 14.20/9.44 tff(6796,plain,
% 14.20/9.44 (v111(constB19) | v112(constB19)),
% 14.20/9.44 inference(unit_resolution,[status(thm)],[6795, 6794])).
% 14.20/9.44 tff(6797,plain,
% 14.20/9.44 ((~(v108(constB19) <=> (v111(constB19) | v112(constB19)))) | v108(constB19) | (~(v111(constB19) | v112(constB19)))),
% 14.20/9.44 inference(tautology,[status(thm)],[])).
% 14.20/9.44 tff(6798,plain,
% 14.20/9.44 (v108(constB19)),
% 14.20/9.44 inference(unit_resolution,[status(thm)],[6797, 6796, 4111])).
% 14.20/9.44 tff(6799,plain,
% 14.20/9.44 ((~(v110(constB20) <=> v108(constB19))) | v110(constB20) | (~v108(constB19))),
% 14.20/9.44 inference(tautology,[status(thm)],[])).
% 14.20/9.44 tff(6800,plain,
% 14.20/9.44 (v110(constB20)),
% 14.20/9.44 inference(unit_resolution,[status(thm)],[6799, 6798, 4109])).
% 14.20/9.44 tff(6801,plain,
% 14.20/9.44 ((~((~v101(constB20)) | (~v110(constB20)))) | (~v101(constB20)) | (~v110(constB20))),
% 14.20/9.44 inference(tautology,[status(thm)],[])).
% 14.20/9.44 tff(6802,plain,
% 14.20/9.44 (~((~v101(constB20)) | (~v110(constB20)))),
% 14.20/9.44 inference(unit_resolution,[status(thm)],[6801, 6800, 4105])).
% 14.20/9.44 tff(6803,plain,
% 14.20/9.44 ((~(v100(constB20) <=> (~((~v101(constB20)) | (~v110(constB20)))))) | v100(constB20) | ((~v101(constB20)) | (~v110(constB20)))),
% 14.20/9.44 inference(tautology,[status(thm)],[])).
% 14.20/9.44 tff(6804,plain,
% 14.20/9.44 (v100(constB20)),
% 14.20/9.44 inference(unit_resolution,[status(thm)],[6803, 6802, 4074])).
% 14.20/9.44 tff(6805,plain,
% 14.20/9.44 (((~![VarNext: $i] : ((~v100(VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v129(VarNext, B))))) | ((~v100(constB20)) | ![B: $i] : ((~less_3(B)) | (v90(constB20, B) <=> v129(constB20, B))))) <=> ((~![VarNext: $i] : ((~v100(VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v129(VarNext, B))))) | (~v100(constB20)) | ![B: $i] : ((~less_3(B)) | (v90(constB20, B) <=> v129(constB20, B))))),
% 14.20/9.44 inference(rewrite,[status(thm)],[])).
% 14.20/9.44 tff(6806,plain,
% 14.20/9.44 ((~![VarNext: $i] : ((~v100(VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v129(VarNext, B))))) | ((~v100(constB20)) | ![B: $i] : ((~less_3(B)) | (v90(constB20, B) <=> v129(constB20, B))))),
% 14.20/9.44 inference(quant_inst,[status(thm)],[])).
% 14.20/9.44 tff(6807,plain,
% 14.20/9.44 ((~![VarNext: $i] : ((~v100(VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v129(VarNext, B))))) | (~v100(constB20)) | ![B: $i] : ((~less_3(B)) | (v90(constB20, B) <=> v129(constB20, B)))),
% 14.20/9.44 inference(modus_ponens,[status(thm)],[6806, 6805])).
% 14.20/9.44 tff(6808,plain,
% 14.20/9.44 ((~v100(constB20)) | ![B: $i] : ((~less_3(B)) | (v90(constB20, B) <=> v129(constB20, B)))),
% 14.20/9.44 inference(unit_resolution,[status(thm)],[6807, 5134])).
% 14.20/9.44 tff(6809,plain,
% 14.20/9.44 (![B: $i] : ((~less_3(B)) | (v90(constB20, B) <=> v129(constB20, B)))),
% 14.20/9.44 inference(unit_resolution,[status(thm)],[6808, 6804])).
% 14.20/9.44 tff(6810,plain,
% 14.20/9.44 (((~![B: $i] : ((~less_3(B)) | (v90(constB20, B) <=> v129(constB20, B)))) | ((~less_3(bitIndex2)) | (v90(constB20, bitIndex2) <=> v129(constB20, bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v90(constB20, B) <=> v129(constB20, B)))) | (~less_3(bitIndex2)) | (v90(constB20, bitIndex2) <=> v129(constB20, bitIndex2)))),
% 14.20/9.44 inference(rewrite,[status(thm)],[])).
% 14.20/9.44 tff(6811,plain,
% 14.20/9.44 ((~![B: $i] : ((~less_3(B)) | (v90(constB20, B) <=> v129(constB20, B)))) | ((~less_3(bitIndex2)) | (v90(constB20, bitIndex2) <=> v129(constB20, bitIndex2)))),
% 14.20/9.44 inference(quant_inst,[status(thm)],[])).
% 14.20/9.44 tff(6812,plain,
% 14.20/9.44 ((~![B: $i] : ((~less_3(B)) | (v90(constB20, B) <=> v129(constB20, B)))) | (~less_3(bitIndex2)) | (v90(constB20, bitIndex2) <=> v129(constB20, bitIndex2))),
% 14.20/9.44 inference(modus_ponens,[status(thm)],[6811, 6810])).
% 14.20/9.44 tff(6813,plain,
% 14.20/9.44 (v90(constB20, bitIndex2) <=> v129(constB20, bitIndex2)),
% 14.20/9.44 inference(unit_resolution,[status(thm)],[6812, 413, 6809])).
% 14.20/9.44 tff(6814,plain,
% 14.20/9.44 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v129(VarNext, B) <=> v127(VarCurr, B))))) | ((~nextState(constB19, constB20)) | ![B: $i] : ((~less_3(B)) | (v129(constB20, B) <=> v127(constB19, B))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v129(VarNext, B) <=> v127(VarCurr, B))))) | (~nextState(constB19, constB20)) | ![B: $i] : ((~less_3(B)) | (v129(constB20, B) <=> v127(constB19, B))))),
% 14.20/9.44 inference(rewrite,[status(thm)],[])).
% 14.20/9.44 tff(6815,plain,
% 14.20/9.44 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v129(VarNext, B) <=> v127(VarCurr, B))))) | ((~nextState(constB19, constB20)) | ![B: $i] : ((~less_3(B)) | (v129(constB20, B) <=> v127(constB19, B))))),
% 14.20/9.44 inference(quant_inst,[status(thm)],[])).
% 14.20/9.44 tff(6816,plain,
% 14.20/9.44 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v129(VarNext, B) <=> v127(VarCurr, B))))) | (~nextState(constB19, constB20)) | ![B: $i] : ((~less_3(B)) | (v129(constB20, B) <=> v127(constB19, B)))),
% 14.20/9.44 inference(modus_ponens,[status(thm)],[6815, 6814])).
% 14.20/9.44 tff(6817,plain,
% 14.20/9.44 (![B: $i] : ((~less_3(B)) | (v129(constB20, B) <=> v127(constB19, B)))),
% 14.20/9.44 inference(unit_resolution,[status(thm)],[6816, 4070, 5156])).
% 14.20/9.44 tff(6818,plain,
% 14.20/9.44 (((~![B: $i] : ((~less_3(B)) | (v129(constB20, B) <=> v127(constB19, B)))) | ((~less_3(bitIndex2)) | (v129(constB20, bitIndex2) <=> v127(constB19, bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v129(constB20, B) <=> v127(constB19, B)))) | (~less_3(bitIndex2)) | (v129(constB20, bitIndex2) <=> v127(constB19, bitIndex2)))),
% 14.20/9.44 inference(rewrite,[status(thm)],[])).
% 14.20/9.44 tff(6819,plain,
% 14.20/9.44 ((~![B: $i] : ((~less_3(B)) | (v129(constB20, B) <=> v127(constB19, B)))) | ((~less_3(bitIndex2)) | (v129(constB20, bitIndex2) <=> v127(constB19, bitIndex2)))),
% 14.20/9.44 inference(quant_inst,[status(thm)],[])).
% 14.20/9.44 tff(6820,plain,
% 14.20/9.44 ((~![B: $i] : ((~less_3(B)) | (v129(constB20, B) <=> v127(constB19, B)))) | (~less_3(bitIndex2)) | (v129(constB20, bitIndex2) <=> v127(constB19, bitIndex2))),
% 14.20/9.44 inference(modus_ponens,[status(thm)],[6819, 6818])).
% 14.20/9.44 tff(6821,plain,
% 14.20/9.44 (v129(constB20, bitIndex2) <=> v127(constB19, bitIndex2)),
% 14.20/9.44 inference(unit_resolution,[status(thm)],[6820, 413, 6817])).
% 14.20/9.44 tff(6822,plain,
% 14.20/9.44 (((~![VarCurr: $i] : (v111(VarCurr) | ![B: $i] : ((~less_3(B)) | (v127(VarCurr, B) <=> v130(VarCurr, B))))) | (v111(constB19) | ![B: $i] : ((~less_3(B)) | (v127(constB19, B) <=> v130(constB19, B))))) <=> ((~![VarCurr: $i] : (v111(VarCurr) | ![B: $i] : ((~less_3(B)) | (v127(VarCurr, B) <=> v130(VarCurr, B))))) | v111(constB19) | ![B: $i] : ((~less_3(B)) | (v127(constB19, B) <=> v130(constB19, B))))),
% 14.20/9.44 inference(rewrite,[status(thm)],[])).
% 14.20/9.44 tff(6823,plain,
% 14.20/9.44 ((~![VarCurr: $i] : (v111(VarCurr) | ![B: $i] : ((~less_3(B)) | (v127(VarCurr, B) <=> v130(VarCurr, B))))) | (v111(constB19) | ![B: $i] : ((~less_3(B)) | (v127(constB19, B) <=> v130(constB19, B))))),
% 14.20/9.44 inference(quant_inst,[status(thm)],[])).
% 14.20/9.44 tff(6824,plain,
% 14.20/9.44 ((~![VarCurr: $i] : (v111(VarCurr) | ![B: $i] : ((~less_3(B)) | (v127(VarCurr, B) <=> v130(VarCurr, B))))) | v111(constB19) | ![B: $i] : ((~less_3(B)) | (v127(constB19, B) <=> v130(constB19, B)))),
% 14.20/9.44 inference(modus_ponens,[status(thm)],[6823, 6822])).
% 14.20/9.44 tff(6825,plain,
% 14.20/9.44 (![B: $i] : ((~less_3(B)) | (v127(constB19, B) <=> v130(constB19, B)))),
% 14.20/9.44 inference(unit_resolution,[status(thm)],[6824, 5177, 6786])).
% 14.20/9.44 tff(6826,plain,
% 14.20/9.44 (((~![B: $i] : ((~less_3(B)) | (v127(constB19, B) <=> v130(constB19, B)))) | ((~less_3(bitIndex2)) | (v127(constB19, bitIndex2) <=> v130(constB19, bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v127(constB19, B) <=> v130(constB19, B)))) | (~less_3(bitIndex2)) | (v127(constB19, bitIndex2) <=> v130(constB19, bitIndex2)))),
% 14.20/9.44 inference(rewrite,[status(thm)],[])).
% 14.20/9.44 tff(6827,plain,
% 14.20/9.44 ((~![B: $i] : ((~less_3(B)) | (v127(constB19, B) <=> v130(constB19, B)))) | ((~less_3(bitIndex2)) | (v127(constB19, bitIndex2) <=> v130(constB19, bitIndex2)))),
% 14.20/9.44 inference(quant_inst,[status(thm)],[])).
% 14.20/9.44 tff(6828,plain,
% 14.20/9.44 ((~![B: $i] : ((~less_3(B)) | (v127(constB19, B) <=> v130(constB19, B)))) | (~less_3(bitIndex2)) | (v127(constB19, bitIndex2) <=> v130(constB19, bitIndex2))),
% 14.20/9.44 inference(modus_ponens,[status(thm)],[6827, 6826])).
% 14.20/9.44 tff(6829,plain,
% 14.20/9.44 (v127(constB19, bitIndex2) <=> v130(constB19, bitIndex2)),
% 14.20/9.44 inference(unit_resolution,[status(thm)],[6828, 413, 6825])).
% 14.20/9.44 tff(6830,plain,
% 14.20/9.44 (((~![VarCurr: $i] : ((~v121(VarCurr)) | ![B: $i] : ((~less_3(B)) | (v130(VarCurr, B) <=> b011(B))))) | ((~v121(constB19)) | ![B: $i] : ((~less_3(B)) | (v130(constB19, B) <=> b011(B))))) <=> ((~![VarCurr: $i] : ((~v121(VarCurr)) | ![B: $i] : ((~less_3(B)) | (v130(VarCurr, B) <=> b011(B))))) | (~v121(constB19)) | ![B: $i] : ((~less_3(B)) | (v130(constB19, B) <=> b011(B))))),
% 14.20/9.44 inference(rewrite,[status(thm)],[])).
% 14.20/9.44 tff(6831,plain,
% 14.20/9.44 ((~![VarCurr: $i] : ((~v121(VarCurr)) | ![B: $i] : ((~less_3(B)) | (v130(VarCurr, B) <=> b011(B))))) | ((~v121(constB19)) | ![B: $i] : ((~less_3(B)) | (v130(constB19, B) <=> b011(B))))),
% 14.20/9.44 inference(quant_inst,[status(thm)],[])).
% 14.20/9.44 tff(6832,plain,
% 14.20/9.44 ((~![VarCurr: $i] : ((~v121(VarCurr)) | ![B: $i] : ((~less_3(B)) | (v130(VarCurr, B) <=> b011(B))))) | (~v121(constB19)) | ![B: $i] : ((~less_3(B)) | (v130(constB19, B) <=> b011(B)))),
% 14.20/9.44 inference(modus_ponens,[status(thm)],[6831, 6830])).
% 14.20/9.44 tff(6833,plain,
% 14.20/9.44 ((~v121(constB19)) | ![B: $i] : ((~less_3(B)) | (v130(constB19, B) <=> b011(B)))),
% 14.20/9.44 inference(unit_resolution,[status(thm)],[6832, 5977])).
% 14.20/9.44 tff(6834,plain,
% 14.20/9.44 (![B: $i] : ((~less_3(B)) | (v130(constB19, B) <=> b011(B)))),
% 14.20/9.44 inference(unit_resolution,[status(thm)],[6833, 6757])).
% 14.20/9.44 tff(6835,plain,
% 14.20/9.44 (((~![B: $i] : ((~less_3(B)) | (v130(constB19, B) <=> b011(B)))) | ((~less_3(bitIndex2)) | (v130(constB19, bitIndex2) <=> b011(bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v130(constB19, B) <=> b011(B)))) | (~less_3(bitIndex2)) | (v130(constB19, bitIndex2) <=> b011(bitIndex2)))),
% 14.20/9.44 inference(rewrite,[status(thm)],[])).
% 14.20/9.44 tff(6836,plain,
% 14.20/9.44 ((~![B: $i] : ((~less_3(B)) | (v130(constB19, B) <=> b011(B)))) | ((~less_3(bitIndex2)) | (v130(constB19, bitIndex2) <=> b011(bitIndex2)))),
% 14.20/9.44 inference(quant_inst,[status(thm)],[])).
% 14.20/9.44 tff(6837,plain,
% 14.20/9.44 ((~![B: $i] : ((~less_3(B)) | (v130(constB19, B) <=> b011(B)))) | (~less_3(bitIndex2)) | (v130(constB19, bitIndex2) <=> b011(bitIndex2))),
% 14.20/9.44 inference(modus_ponens,[status(thm)],[6836, 6835])).
% 14.20/9.44 tff(6838,plain,
% 14.20/9.44 (v130(constB19, bitIndex2) <=> b011(bitIndex2)),
% 14.20/9.44 inference(unit_resolution,[status(thm)],[6837, 413, 6834])).
% 14.20/9.44 tff(6839,plain,
% 14.20/9.44 ((~(v130(constB19, bitIndex2) <=> b011(bitIndex2))) | (~v130(constB19, bitIndex2)) | b011(bitIndex2)),
% 14.20/9.44 inference(tautology,[status(thm)],[])).
% 14.20/9.44 tff(6840,plain,
% 14.20/9.44 ((~(v130(constB19, bitIndex2) <=> b011(bitIndex2))) | (~v130(constB19, bitIndex2))),
% 14.20/9.44 inference(unit_resolution,[status(thm)],[6839, 5989])).
% 14.20/9.44 tff(6841,plain,
% 14.20/9.44 (~v130(constB19, bitIndex2)),
% 14.20/9.44 inference(unit_resolution,[status(thm)],[6840, 6838])).
% 14.20/9.44 tff(6842,plain,
% 14.20/9.44 ((~(v127(constB19, bitIndex2) <=> v130(constB19, bitIndex2))) | (~v127(constB19, bitIndex2)) | v130(constB19, bitIndex2)),
% 14.20/9.44 inference(tautology,[status(thm)],[])).
% 14.20/9.44 tff(6843,plain,
% 14.20/9.44 (~v127(constB19, bitIndex2)),
% 14.20/9.44 inference(unit_resolution,[status(thm)],[6842, 6841, 6829])).
% 14.20/9.44 tff(6844,plain,
% 14.20/9.44 ((~(v129(constB20, bitIndex2) <=> v127(constB19, bitIndex2))) | (~v129(constB20, bitIndex2)) | v127(constB19, bitIndex2)),
% 14.20/9.44 inference(tautology,[status(thm)],[])).
% 14.20/9.44 tff(6845,plain,
% 14.20/9.44 (~v129(constB20, bitIndex2)),
% 14.20/9.44 inference(unit_resolution,[status(thm)],[6844, 6843, 6821])).
% 14.20/9.44 tff(6846,plain,
% 14.20/9.44 ((~(v90(constB20, bitIndex2) <=> v129(constB20, bitIndex2))) | (~v90(constB20, bitIndex2)) | v129(constB20, bitIndex2)),
% 14.20/9.44 inference(tautology,[status(thm)],[])).
% 14.20/9.44 tff(6847,plain,
% 14.20/9.44 (~v90(constB20, bitIndex2)),
% 14.20/9.44 inference(unit_resolution,[status(thm)],[6846, 6845, 6813])).
% 14.20/9.44 tff(6848,plain,
% 14.20/9.44 ((~(v90(constB21, bitIndex2) <=> v90(constB20, bitIndex2))) | (~v90(constB21, bitIndex2)) | v90(constB20, bitIndex2)),
% 14.20/9.44 inference(tautology,[status(thm)],[])).
% 14.20/9.44 tff(6849,plain,
% 14.20/9.44 (~v90(constB21, bitIndex2)),
% 14.20/9.44 inference(unit_resolution,[status(thm)],[6848, 6847, 4067])).
% 14.20/9.44 tff(6850,plain,
% 14.20/9.44 (((~![B: $i] : ((~less_3(B)) | (v90(constB21, B) <=> v90(constB20, B)))) | ((~less_3(bitIndex0)) | (v90(constB21, bitIndex0) <=> v90(constB20, bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v90(constB21, B) <=> v90(constB20, B)))) | (~less_3(bitIndex0)) | (v90(constB21, bitIndex0) <=> v90(constB20, bitIndex0)))),
% 14.20/9.44 inference(rewrite,[status(thm)],[])).
% 14.20/9.44 tff(6851,plain,
% 14.20/9.44 ((~![B: $i] : ((~less_3(B)) | (v90(constB21, B) <=> v90(constB20, B)))) | ((~less_3(bitIndex0)) | (v90(constB21, bitIndex0) <=> v90(constB20, bitIndex0)))),
% 14.20/9.44 inference(quant_inst,[status(thm)],[])).
% 14.20/9.44 tff(6852,plain,
% 14.20/9.44 ((~![B: $i] : ((~less_3(B)) | (v90(constB21, B) <=> v90(constB20, B)))) | (~less_3(bitIndex0)) | (v90(constB21, bitIndex0) <=> v90(constB20, bitIndex0))),
% 14.20/9.44 inference(modus_ponens,[status(thm)],[6851, 6850])).
% 14.20/9.44 tff(6853,plain,
% 14.20/9.44 (v90(constB21, bitIndex0) <=> v90(constB20, bitIndex0)),
% 14.20/9.44 inference(unit_resolution,[status(thm)],[6852, 5004, 4063])).
% 14.20/9.44 tff(6854,plain,
% 14.20/9.44 (((~![B: $i] : ((~less_3(B)) | (v90(constB20, B) <=> v129(constB20, B)))) | ((~less_3(bitIndex0)) | (v90(constB20, bitIndex0) <=> v129(constB20, bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v90(constB20, B) <=> v129(constB20, B)))) | (~less_3(bitIndex0)) | (v90(constB20, bitIndex0) <=> v129(constB20, bitIndex0)))),
% 14.20/9.44 inference(rewrite,[status(thm)],[])).
% 14.20/9.44 tff(6855,plain,
% 14.20/9.44 ((~![B: $i] : ((~less_3(B)) | (v90(constB20, B) <=> v129(constB20, B)))) | ((~less_3(bitIndex0)) | (v90(constB20, bitIndex0) <=> v129(constB20, bitIndex0)))),
% 14.20/9.44 inference(quant_inst,[status(thm)],[])).
% 14.20/9.44 tff(6856,plain,
% 14.20/9.44 ((~![B: $i] : ((~less_3(B)) | (v90(constB20, B) <=> v129(constB20, B)))) | (~less_3(bitIndex0)) | (v90(constB20, bitIndex0) <=> v129(constB20, bitIndex0))),
% 14.20/9.44 inference(modus_ponens,[status(thm)],[6855, 6854])).
% 14.20/9.44 tff(6857,plain,
% 14.20/9.44 (v90(constB20, bitIndex0) <=> v129(constB20, bitIndex0)),
% 14.20/9.44 inference(unit_resolution,[status(thm)],[6856, 5004, 6809])).
% 14.20/9.44 tff(6858,plain,
% 14.20/9.44 (((~![B: $i] : ((~less_3(B)) | (v129(constB20, B) <=> v127(constB19, B)))) | ((~less_3(bitIndex0)) | (v129(constB20, bitIndex0) <=> v127(constB19, bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v129(constB20, B) <=> v127(constB19, B)))) | (~less_3(bitIndex0)) | (v129(constB20, bitIndex0) <=> v127(constB19, bitIndex0)))),
% 14.20/9.44 inference(rewrite,[status(thm)],[])).
% 14.20/9.44 tff(6859,plain,
% 14.20/9.44 ((~![B: $i] : ((~less_3(B)) | (v129(constB20, B) <=> v127(constB19, B)))) | ((~less_3(bitIndex0)) | (v129(constB20, bitIndex0) <=> v127(constB19, bitIndex0)))),
% 14.20/9.44 inference(quant_inst,[status(thm)],[])).
% 14.20/9.44 tff(6860,plain,
% 14.20/9.44 ((~![B: $i] : ((~less_3(B)) | (v129(constB20, B) <=> v127(constB19, B)))) | (~less_3(bitIndex0)) | (v129(constB20, bitIndex0) <=> v127(constB19, bitIndex0))),
% 14.20/9.44 inference(modus_ponens,[status(thm)],[6859, 6858])).
% 14.20/9.44 tff(6861,plain,
% 14.20/9.44 (v129(constB20, bitIndex0) <=> v127(constB19, bitIndex0)),
% 14.20/9.44 inference(unit_resolution,[status(thm)],[6860, 5004, 6817])).
% 14.20/9.44 tff(6862,plain,
% 14.20/9.44 (((~![B: $i] : ((~less_3(B)) | (v127(constB19, B) <=> v130(constB19, B)))) | ((~less_3(bitIndex0)) | (v127(constB19, bitIndex0) <=> v130(constB19, bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v127(constB19, B) <=> v130(constB19, B)))) | (~less_3(bitIndex0)) | (v127(constB19, bitIndex0) <=> v130(constB19, bitIndex0)))),
% 14.20/9.44 inference(rewrite,[status(thm)],[])).
% 14.20/9.44 tff(6863,plain,
% 14.20/9.44 ((~![B: $i] : ((~less_3(B)) | (v127(constB19, B) <=> v130(constB19, B)))) | ((~less_3(bitIndex0)) | (v127(constB19, bitIndex0) <=> v130(constB19, bitIndex0)))),
% 14.20/9.44 inference(quant_inst,[status(thm)],[])).
% 14.20/9.44 tff(6864,plain,
% 14.20/9.44 ((~![B: $i] : ((~less_3(B)) | (v127(constB19, B) <=> v130(constB19, B)))) | (~less_3(bitIndex0)) | (v127(constB19, bitIndex0) <=> v130(constB19, bitIndex0))),
% 14.20/9.44 inference(modus_ponens,[status(thm)],[6863, 6862])).
% 14.20/9.44 tff(6865,plain,
% 14.20/9.44 (v127(constB19, bitIndex0) <=> v130(constB19, bitIndex0)),
% 14.20/9.44 inference(unit_resolution,[status(thm)],[6864, 5004, 6825])).
% 14.20/9.44 tff(6866,plain,
% 14.20/9.44 (((~![B: $i] : ((~less_3(B)) | (v130(constB19, B) <=> b011(B)))) | ((~less_3(bitIndex0)) | (v130(constB19, bitIndex0) <=> b011(bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v130(constB19, B) <=> b011(B)))) | (~less_3(bitIndex0)) | (v130(constB19, bitIndex0) <=> b011(bitIndex0)))),
% 14.20/9.44 inference(rewrite,[status(thm)],[])).
% 14.20/9.44 tff(6867,plain,
% 14.20/9.44 ((~![B: $i] : ((~less_3(B)) | (v130(constB19, B) <=> b011(B)))) | ((~less_3(bitIndex0)) | (v130(constB19, bitIndex0) <=> b011(bitIndex0)))),
% 14.20/9.44 inference(quant_inst,[status(thm)],[])).
% 14.20/9.44 tff(6868,plain,
% 14.20/9.44 ((~![B: $i] : ((~less_3(B)) | (v130(constB19, B) <=> b011(B)))) | (~less_3(bitIndex0)) | (v130(constB19, bitIndex0) <=> b011(bitIndex0))),
% 14.20/9.44 inference(modus_ponens,[status(thm)],[6867, 6866])).
% 14.20/9.44 tff(6869,plain,
% 14.20/9.44 (v130(constB19, bitIndex0) <=> b011(bitIndex0)),
% 14.20/9.44 inference(unit_resolution,[status(thm)],[6868, 5004, 6834])).
% 14.20/9.44 tff(6870,plain,
% 14.20/9.44 ((~(v130(constB19, bitIndex0) <=> b011(bitIndex0))) | v130(constB19, bitIndex0) | (~b011(bitIndex0))),
% 14.20/9.44 inference(tautology,[status(thm)],[])).
% 14.20/9.44 tff(6871,plain,
% 14.20/9.44 ((~(v130(constB19, bitIndex0) <=> b011(bitIndex0))) | v130(constB19, bitIndex0)),
% 14.20/9.44 inference(unit_resolution,[status(thm)],[6870, 6023])).
% 14.20/9.44 tff(6872,plain,
% 14.20/9.44 (v130(constB19, bitIndex0)),
% 14.20/9.44 inference(unit_resolution,[status(thm)],[6871, 6869])).
% 14.20/9.44 tff(6873,plain,
% 14.20/9.44 ((~(v127(constB19, bitIndex0) <=> v130(constB19, bitIndex0))) | v127(constB19, bitIndex0) | (~v130(constB19, bitIndex0))),
% 14.20/9.44 inference(tautology,[status(thm)],[])).
% 14.20/9.44 tff(6874,plain,
% 14.20/9.44 (v127(constB19, bitIndex0)),
% 14.20/9.44 inference(unit_resolution,[status(thm)],[6873, 6872, 6865])).
% 14.20/9.44 tff(6875,plain,
% 14.20/9.44 ((~(v129(constB20, bitIndex0) <=> v127(constB19, bitIndex0))) | v129(constB20, bitIndex0) | (~v127(constB19, bitIndex0))),
% 14.20/9.44 inference(tautology,[status(thm)],[])).
% 14.20/9.44 tff(6876,plain,
% 14.20/9.44 (v129(constB20, bitIndex0)),
% 14.20/9.44 inference(unit_resolution,[status(thm)],[6875, 6874, 6861])).
% 14.20/9.44 tff(6877,plain,
% 14.20/9.44 ((~(v90(constB20, bitIndex0) <=> v129(constB20, bitIndex0))) | v90(constB20, bitIndex0) | (~v129(constB20, bitIndex0))),
% 14.20/9.44 inference(tautology,[status(thm)],[])).
% 14.20/9.44 tff(6878,plain,
% 14.20/9.44 (v90(constB20, bitIndex0)),
% 14.20/9.44 inference(unit_resolution,[status(thm)],[6877, 6876, 6857])).
% 14.20/9.44 tff(6879,plain,
% 14.20/9.44 ((~(v90(constB21, bitIndex0) <=> v90(constB20, bitIndex0))) | v90(constB21, bitIndex0) | (~v90(constB20, bitIndex0))),
% 14.20/9.44 inference(tautology,[status(thm)],[])).
% 14.20/9.44 tff(6880,plain,
% 14.20/9.44 (v90(constB21, bitIndex0)),
% 14.20/9.44 inference(unit_resolution,[status(thm)],[6879, 6878, 6853])).
% 14.20/9.44 tff(6881,plain,
% 14.20/9.44 (((~![B: $i] : ((~less_3(B)) | (v90(constB21, B) <=> v90(constB20, B)))) | ((~less_3(bitIndex1)) | (v90(constB21, bitIndex1) <=> v90(constB20, bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v90(constB21, B) <=> v90(constB20, B)))) | (~less_3(bitIndex1)) | (v90(constB21, bitIndex1) <=> v90(constB20, bitIndex1)))),
% 14.20/9.44 inference(rewrite,[status(thm)],[])).
% 14.20/9.44 tff(6882,plain,
% 14.20/9.44 ((~![B: $i] : ((~less_3(B)) | (v90(constB21, B) <=> v90(constB20, B)))) | ((~less_3(bitIndex1)) | (v90(constB21, bitIndex1) <=> v90(constB20, bitIndex1)))),
% 14.20/9.44 inference(quant_inst,[status(thm)],[])).
% 14.20/9.44 tff(6883,plain,
% 14.20/9.44 ((~![B: $i] : ((~less_3(B)) | (v90(constB21, B) <=> v90(constB20, B)))) | (~less_3(bitIndex1)) | (v90(constB21, bitIndex1) <=> v90(constB20, bitIndex1))),
% 14.20/9.44 inference(modus_ponens,[status(thm)],[6882, 6881])).
% 14.20/9.44 tff(6884,plain,
% 14.20/9.44 (v90(constB21, bitIndex1) <=> v90(constB20, bitIndex1)),
% 14.20/9.44 inference(unit_resolution,[status(thm)],[6883, 5017, 4063])).
% 14.20/9.44 tff(6885,plain,
% 14.20/9.44 (((~![B: $i] : ((~less_3(B)) | (v90(constB20, B) <=> v129(constB20, B)))) | ((~less_3(bitIndex1)) | (v90(constB20, bitIndex1) <=> v129(constB20, bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v90(constB20, B) <=> v129(constB20, B)))) | (~less_3(bitIndex1)) | (v90(constB20, bitIndex1) <=> v129(constB20, bitIndex1)))),
% 14.20/9.44 inference(rewrite,[status(thm)],[])).
% 14.20/9.44 tff(6886,plain,
% 14.20/9.44 ((~![B: $i] : ((~less_3(B)) | (v90(constB20, B) <=> v129(constB20, B)))) | ((~less_3(bitIndex1)) | (v90(constB20, bitIndex1) <=> v129(constB20, bitIndex1)))),
% 14.20/9.44 inference(quant_inst,[status(thm)],[])).
% 14.20/9.44 tff(6887,plain,
% 14.20/9.44 ((~![B: $i] : ((~less_3(B)) | (v90(constB20, B) <=> v129(constB20, B)))) | (~less_3(bitIndex1)) | (v90(constB20, bitIndex1) <=> v129(constB20, bitIndex1))),
% 14.20/9.44 inference(modus_ponens,[status(thm)],[6886, 6885])).
% 14.20/9.44 tff(6888,plain,
% 14.20/9.44 (v90(constB20, bitIndex1) <=> v129(constB20, bitIndex1)),
% 14.20/9.44 inference(unit_resolution,[status(thm)],[6887, 5017, 6809])).
% 14.20/9.44 tff(6889,plain,
% 14.20/9.44 (((~![B: $i] : ((~less_3(B)) | (v129(constB20, B) <=> v127(constB19, B)))) | ((~less_3(bitIndex1)) | (v129(constB20, bitIndex1) <=> v127(constB19, bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v129(constB20, B) <=> v127(constB19, B)))) | (~less_3(bitIndex1)) | (v129(constB20, bitIndex1) <=> v127(constB19, bitIndex1)))),
% 14.20/9.44 inference(rewrite,[status(thm)],[])).
% 14.20/9.44 tff(6890,plain,
% 14.20/9.44 ((~![B: $i] : ((~less_3(B)) | (v129(constB20, B) <=> v127(constB19, B)))) | ((~less_3(bitIndex1)) | (v129(constB20, bitIndex1) <=> v127(constB19, bitIndex1)))),
% 14.20/9.44 inference(quant_inst,[status(thm)],[])).
% 14.20/9.44 tff(6891,plain,
% 14.20/9.44 ((~![B: $i] : ((~less_3(B)) | (v129(constB20, B) <=> v127(constB19, B)))) | (~less_3(bitIndex1)) | (v129(constB20, bitIndex1) <=> v127(constB19, bitIndex1))),
% 14.20/9.44 inference(modus_ponens,[status(thm)],[6890, 6889])).
% 14.20/9.44 tff(6892,plain,
% 14.20/9.44 (v129(constB20, bitIndex1) <=> v127(constB19, bitIndex1)),
% 14.20/9.44 inference(unit_resolution,[status(thm)],[6891, 5017, 6817])).
% 14.20/9.44 tff(6893,plain,
% 14.20/9.44 (((~![B: $i] : ((~less_3(B)) | (v127(constB19, B) <=> v130(constB19, B)))) | ((~less_3(bitIndex1)) | (v127(constB19, bitIndex1) <=> v130(constB19, bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v127(constB19, B) <=> v130(constB19, B)))) | (~less_3(bitIndex1)) | (v127(constB19, bitIndex1) <=> v130(constB19, bitIndex1)))),
% 14.20/9.44 inference(rewrite,[status(thm)],[])).
% 14.20/9.44 tff(6894,plain,
% 14.20/9.44 ((~![B: $i] : ((~less_3(B)) | (v127(constB19, B) <=> v130(constB19, B)))) | ((~less_3(bitIndex1)) | (v127(constB19, bitIndex1) <=> v130(constB19, bitIndex1)))),
% 14.20/9.44 inference(quant_inst,[status(thm)],[])).
% 14.20/9.44 tff(6895,plain,
% 14.20/9.44 ((~![B: $i] : ((~less_3(B)) | (v127(constB19, B) <=> v130(constB19, B)))) | (~less_3(bitIndex1)) | (v127(constB19, bitIndex1) <=> v130(constB19, bitIndex1))),
% 14.20/9.44 inference(modus_ponens,[status(thm)],[6894, 6893])).
% 14.20/9.44 tff(6896,plain,
% 14.20/9.44 (v127(constB19, bitIndex1) <=> v130(constB19, bitIndex1)),
% 14.20/9.44 inference(unit_resolution,[status(thm)],[6895, 5017, 6825])).
% 14.20/9.44 tff(6897,plain,
% 14.20/9.44 (((~![B: $i] : ((~less_3(B)) | (v130(constB19, B) <=> b011(B)))) | ((~less_3(bitIndex1)) | (v130(constB19, bitIndex1) <=> b011(bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v130(constB19, B) <=> b011(B)))) | (~less_3(bitIndex1)) | (v130(constB19, bitIndex1) <=> b011(bitIndex1)))),
% 14.20/9.44 inference(rewrite,[status(thm)],[])).
% 14.20/9.44 tff(6898,plain,
% 14.20/9.44 ((~![B: $i] : ((~less_3(B)) | (v130(constB19, B) <=> b011(B)))) | ((~less_3(bitIndex1)) | (v130(constB19, bitIndex1) <=> b011(bitIndex1)))),
% 14.20/9.44 inference(quant_inst,[status(thm)],[])).
% 14.20/9.44 tff(6899,plain,
% 14.20/9.44 ((~![B: $i] : ((~less_3(B)) | (v130(constB19, B) <=> b011(B)))) | (~less_3(bitIndex1)) | (v130(constB19, bitIndex1) <=> b011(bitIndex1))),
% 14.20/9.44 inference(modus_ponens,[status(thm)],[6898, 6897])).
% 14.20/9.44 tff(6900,plain,
% 14.20/9.44 (v130(constB19, bitIndex1) <=> b011(bitIndex1)),
% 14.20/9.44 inference(unit_resolution,[status(thm)],[6899, 5017, 6834])).
% 14.20/9.44 tff(6901,plain,
% 14.20/9.44 ((~(v130(constB19, bitIndex1) <=> b011(bitIndex1))) | v130(constB19, bitIndex1) | (~b011(bitIndex1))),
% 14.20/9.44 inference(tautology,[status(thm)],[])).
% 14.20/9.44 tff(6902,plain,
% 14.20/9.44 ((~(v130(constB19, bitIndex1) <=> b011(bitIndex1))) | v130(constB19, bitIndex1)),
% 14.20/9.44 inference(unit_resolution,[status(thm)],[6901, 6057])).
% 14.20/9.44 tff(6903,plain,
% 14.20/9.44 (v130(constB19, bitIndex1)),
% 14.20/9.45 inference(unit_resolution,[status(thm)],[6902, 6900])).
% 14.20/9.45 tff(6904,plain,
% 14.20/9.45 ((~(v127(constB19, bitIndex1) <=> v130(constB19, bitIndex1))) | v127(constB19, bitIndex1) | (~v130(constB19, bitIndex1))),
% 14.20/9.45 inference(tautology,[status(thm)],[])).
% 14.20/9.45 tff(6905,plain,
% 14.20/9.45 (v127(constB19, bitIndex1)),
% 14.20/9.45 inference(unit_resolution,[status(thm)],[6904, 6903, 6896])).
% 14.20/9.45 tff(6906,plain,
% 14.20/9.45 ((~(v129(constB20, bitIndex1) <=> v127(constB19, bitIndex1))) | v129(constB20, bitIndex1) | (~v127(constB19, bitIndex1))),
% 14.20/9.45 inference(tautology,[status(thm)],[])).
% 14.20/9.45 tff(6907,plain,
% 14.20/9.45 (v129(constB20, bitIndex1)),
% 14.20/9.45 inference(unit_resolution,[status(thm)],[6906, 6905, 6892])).
% 14.20/9.45 tff(6908,plain,
% 14.20/9.45 ((~(v90(constB20, bitIndex1) <=> v129(constB20, bitIndex1))) | v90(constB20, bitIndex1) | (~v129(constB20, bitIndex1))),
% 14.20/9.45 inference(tautology,[status(thm)],[])).
% 14.20/9.45 tff(6909,plain,
% 14.20/9.45 (v90(constB20, bitIndex1)),
% 14.20/9.45 inference(unit_resolution,[status(thm)],[6908, 6907, 6888])).
% 14.20/9.45 tff(6910,plain,
% 14.20/9.45 ((~(v90(constB21, bitIndex1) <=> v90(constB20, bitIndex1))) | v90(constB21, bitIndex1) | (~v90(constB20, bitIndex1))),
% 14.20/9.45 inference(tautology,[status(thm)],[])).
% 14.20/9.45 tff(6911,plain,
% 14.20/9.45 (v90(constB21, bitIndex1)),
% 14.20/9.45 inference(unit_resolution,[status(thm)],[6910, 6909, 6884])).
% 14.20/9.45 tff(6912,plain,
% 14.20/9.45 ((~(v90(constB21, bitIndex2) | (~v90(constB21, bitIndex1)) | (~v90(constB21, bitIndex0)))) | v90(constB21, bitIndex2) | (~v90(constB21, bitIndex1)) | (~v90(constB21, bitIndex0))),
% 14.20/9.45 inference(tautology,[status(thm)],[])).
% 14.20/9.45 tff(6913,plain,
% 14.20/9.45 (~(v90(constB21, bitIndex2) | (~v90(constB21, bitIndex1)) | (~v90(constB21, bitIndex0)))),
% 14.20/9.45 inference(unit_resolution,[status(thm)],[6912, 6911, 6880, 6849])).
% 14.20/9.45 tff(6914,plain,
% 14.20/9.45 ((~(v122(constB21) <=> (~(v90(constB21, bitIndex2) | (~v90(constB21, bitIndex1)) | (~v90(constB21, bitIndex0)))))) | v122(constB21) | (v90(constB21, bitIndex2) | (~v90(constB21, bitIndex1)) | (~v90(constB21, bitIndex0)))),
% 14.20/9.45 inference(tautology,[status(thm)],[])).
% 14.20/9.45 tff(6915,plain,
% 14.20/9.45 (v122(constB21)),
% 14.20/9.45 inference(unit_resolution,[status(thm)],[6914, 6913, 4035])).
% 14.20/9.45 tff(6916,plain,
% 14.20/9.45 ((v117(constB21) | v122(constB21)) | (~v122(constB21))),
% 14.20/9.45 inference(tautology,[status(thm)],[])).
% 14.20/9.45 tff(6917,plain,
% 14.20/9.45 (v117(constB21) | v122(constB21)),
% 14.20/9.45 inference(unit_resolution,[status(thm)],[6916, 6915])).
% 14.20/9.45 tff(6918,plain,
% 14.20/9.45 ((~(v116(constB21) <=> (v117(constB21) | v122(constB21)))) | v116(constB21) | (~(v117(constB21) | v122(constB21)))),
% 14.20/9.45 inference(tautology,[status(thm)],[])).
% 14.20/9.45 tff(6919,plain,
% 14.20/9.45 (v116(constB21)),
% 14.20/9.45 inference(unit_resolution,[status(thm)],[6918, 6917, 4028])).
% 14.20/9.45 tff(6920,plain,
% 14.20/9.45 ((v116(constB21) | v123(constB21)) | (~v116(constB21))),
% 14.20/9.45 inference(tautology,[status(thm)],[])).
% 14.20/9.45 tff(6921,plain,
% 14.20/9.45 (v116(constB21) | v123(constB21)),
% 14.20/9.45 inference(unit_resolution,[status(thm)],[6920, 6919])).
% 14.20/9.45 tff(6922,plain,
% 14.20/9.45 ((~(v115(constB21) <=> (v116(constB21) | v123(constB21)))) | v115(constB21) | (~(v116(constB21) | v123(constB21)))),
% 14.20/9.45 inference(tautology,[status(thm)],[])).
% 14.20/9.45 tff(6923,plain,
% 14.20/9.45 (v115(constB21)),
% 14.20/9.45 inference(unit_resolution,[status(thm)],[6922, 6921, 4026])).
% 14.20/9.45 tff(6924,plain,
% 14.20/9.45 ((v115(constB21) | v124(constB21)) | (~v115(constB21))),
% 14.20/9.45 inference(tautology,[status(thm)],[])).
% 14.20/9.45 tff(6925,plain,
% 14.20/9.45 (v115(constB21) | v124(constB21)),
% 14.20/9.45 inference(unit_resolution,[status(thm)],[6924, 6923])).
% 14.20/9.45 tff(6926,plain,
% 14.20/9.45 ((~(v114(constB21) <=> (v115(constB21) | v124(constB21)))) | v114(constB21) | (~(v115(constB21) | v124(constB21)))),
% 14.20/9.45 inference(tautology,[status(thm)],[])).
% 14.20/9.45 tff(6927,plain,
% 14.20/9.45 (v114(constB21)),
% 14.20/9.45 inference(unit_resolution,[status(thm)],[6926, 6925, 4024])).
% 14.20/9.45 tff(6928,plain,
% 14.20/9.45 ((v114(constB21) | v125(constB21)) | (~v114(constB21))),
% 14.20/9.45 inference(tautology,[status(thm)],[])).
% 14.20/9.45 tff(6929,plain,
% 14.20/9.45 (v114(constB21) | v125(constB21)),
% 14.20/9.45 inference(unit_resolution,[status(thm)],[6928, 6927])).
% 14.20/9.45 tff(6930,plain,
% 14.20/9.45 ((~(v113(constB21) <=> (v114(constB21) | v125(constB21)))) | v113(constB21) | (~(v114(constB21) | v125(constB21)))),
% 14.20/9.45 inference(tautology,[status(thm)],[])).
% 14.20/9.45 tff(6931,plain,
% 14.20/9.45 (v113(constB21)),
% 14.20/9.45 inference(unit_resolution,[status(thm)],[6930, 6929, 4022])).
% 14.20/9.45 tff(6932,plain,
% 14.20/9.45 ((~![VarCurr: $i] : ((~v126(VarCurr)) <=> v111(VarCurr))) | ((~v126(constB21)) <=> v111(constB21))),
% 14.20/9.45 inference(quant_inst,[status(thm)],[])).
% 14.20/9.45 tff(6933,plain,
% 14.20/9.45 ((~v126(constB21)) <=> v111(constB21)),
% 14.20/9.45 inference(unit_resolution,[status(thm)],[6932, 5074])).
% 14.20/9.45 tff(6934,plain,
% 14.20/9.45 ((~![VarCurr: $i] : (v111(VarCurr) <=> v26(VarCurr))) | (v111(constB21) <=> v26(constB21))),
% 14.20/9.45 inference(quant_inst,[status(thm)],[])).
% 14.20/9.45 tff(6935,plain,
% 14.20/9.45 (v111(constB21) <=> v26(constB21)),
% 14.20/9.45 inference(unit_resolution,[status(thm)],[6934, 5086])).
% 14.20/9.45 tff(6936,plain,
% 14.20/9.45 ((~![VarCurr: $i] : (~v26(VarCurr))) | (~v26(constB21))),
% 14.20/9.45 inference(quant_inst,[status(thm)],[])).
% 14.20/9.45 tff(6937,plain,
% 14.20/9.45 (~v26(constB21)),
% 14.20/9.45 inference(unit_resolution,[status(thm)],[6936, 5098])).
% 14.20/9.45 tff(6938,plain,
% 14.20/9.45 ((~(v111(constB21) <=> v26(constB21))) | (~v111(constB21)) | v26(constB21)),
% 14.20/9.45 inference(tautology,[status(thm)],[])).
% 14.20/9.45 tff(6939,plain,
% 14.20/9.45 ((~(v111(constB21) <=> v26(constB21))) | (~v111(constB21))),
% 14.20/9.45 inference(unit_resolution,[status(thm)],[6938, 6937])).
% 14.20/9.45 tff(6940,plain,
% 14.20/9.45 (~v111(constB21)),
% 14.20/9.45 inference(unit_resolution,[status(thm)],[6939, 6935])).
% 14.20/9.45 tff(6941,plain,
% 14.20/9.45 ((~((~v126(constB21)) <=> v111(constB21))) | v126(constB21) | v111(constB21)),
% 14.20/9.45 inference(tautology,[status(thm)],[])).
% 14.20/9.45 tff(6942,plain,
% 14.20/9.45 ((~((~v126(constB21)) <=> v111(constB21))) | v126(constB21)),
% 14.20/9.45 inference(unit_resolution,[status(thm)],[6941, 6940])).
% 14.20/9.45 tff(6943,plain,
% 14.20/9.45 (v126(constB21)),
% 14.20/9.45 inference(unit_resolution,[status(thm)],[6942, 6933])).
% 14.20/9.45 tff(6944,plain,
% 14.20/9.45 ((~((~v113(constB21)) | (~v126(constB21)))) | (~v113(constB21)) | (~v126(constB21))),
% 14.20/9.45 inference(tautology,[status(thm)],[])).
% 14.20/9.45 tff(6945,plain,
% 14.20/9.45 ((~((~v113(constB21)) | (~v126(constB21)))) | (~v113(constB21))),
% 14.20/9.45 inference(unit_resolution,[status(thm)],[6944, 6943])).
% 14.20/9.45 tff(6946,plain,
% 14.20/9.45 (~((~v113(constB21)) | (~v126(constB21)))),
% 14.20/9.45 inference(unit_resolution,[status(thm)],[6945, 6931])).
% 14.20/9.45 tff(6947,plain,
% 14.20/9.45 ((~(v112(constB21) <=> (~((~v113(constB21)) | (~v126(constB21)))))) | v112(constB21) | ((~v113(constB21)) | (~v126(constB21)))),
% 14.20/9.45 inference(tautology,[status(thm)],[])).
% 14.20/9.45 tff(6948,plain,
% 14.20/9.45 (v112(constB21)),
% 14.20/9.45 inference(unit_resolution,[status(thm)],[6947, 6946, 4020])).
% 14.20/9.45 tff(6949,plain,
% 14.20/9.45 ((v111(constB21) | v112(constB21)) | (~v112(constB21))),
% 14.20/9.45 inference(tautology,[status(thm)],[])).
% 14.20/9.45 tff(6950,plain,
% 14.20/9.45 (v111(constB21) | v112(constB21)),
% 14.20/9.45 inference(unit_resolution,[status(thm)],[6949, 6948])).
% 14.20/9.45 tff(6951,plain,
% 14.20/9.45 ((~(v108(constB21) <=> (v111(constB21) | v112(constB21)))) | v108(constB21) | (~(v111(constB21) | v112(constB21)))),
% 14.20/9.45 inference(tautology,[status(thm)],[])).
% 14.20/9.45 tff(6952,plain,
% 14.20/9.45 (v108(constB21)),
% 14.20/9.45 inference(unit_resolution,[status(thm)],[6951, 6950, 4018])).
% 14.20/9.45 tff(6953,plain,
% 14.20/9.45 ((~(v110(constB22) <=> v108(constB21))) | v110(constB22) | (~v108(constB21))),
% 14.20/9.45 inference(tautology,[status(thm)],[])).
% 14.20/9.45 tff(6954,plain,
% 14.20/9.45 (v110(constB22)),
% 14.20/9.45 inference(unit_resolution,[status(thm)],[6953, 6952, 4016])).
% 14.20/9.45 tff(6955,plain,
% 14.20/9.45 ((~((~v101(constB22)) | (~v110(constB22)))) | (~v101(constB22)) | (~v110(constB22))),
% 14.20/9.45 inference(tautology,[status(thm)],[])).
% 14.20/9.45 tff(6956,plain,
% 14.20/9.45 (~((~v101(constB22)) | (~v110(constB22)))),
% 14.20/9.45 inference(unit_resolution,[status(thm)],[6955, 6954, 4012])).
% 14.20/9.45 tff(6957,plain,
% 14.20/9.45 ((~(v100(constB22) <=> (~((~v101(constB22)) | (~v110(constB22)))))) | v100(constB22) | ((~v101(constB22)) | (~v110(constB22)))),
% 14.20/9.45 inference(tautology,[status(thm)],[])).
% 14.20/9.45 tff(6958,plain,
% 14.20/9.45 (v100(constB22)),
% 14.20/9.45 inference(unit_resolution,[status(thm)],[6957, 6956, 3981])).
% 14.20/9.45 tff(6959,plain,
% 14.20/9.45 (((~![VarNext: $i] : ((~v100(VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v129(VarNext, B))))) | ((~v100(constB22)) | ![B: $i] : ((~less_3(B)) | (v90(constB22, B) <=> v129(constB22, B))))) <=> ((~![VarNext: $i] : ((~v100(VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v129(VarNext, B))))) | (~v100(constB22)) | ![B: $i] : ((~less_3(B)) | (v90(constB22, B) <=> v129(constB22, B))))),
% 14.20/9.45 inference(rewrite,[status(thm)],[])).
% 14.20/9.45 tff(6960,plain,
% 14.20/9.45 ((~![VarNext: $i] : ((~v100(VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v129(VarNext, B))))) | ((~v100(constB22)) | ![B: $i] : ((~less_3(B)) | (v90(constB22, B) <=> v129(constB22, B))))),
% 14.20/9.45 inference(quant_inst,[status(thm)],[])).
% 14.20/9.45 tff(6961,plain,
% 14.20/9.45 ((~![VarNext: $i] : ((~v100(VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v129(VarNext, B))))) | (~v100(constB22)) | ![B: $i] : ((~less_3(B)) | (v90(constB22, B) <=> v129(constB22, B)))),
% 14.20/9.45 inference(modus_ponens,[status(thm)],[6960, 6959])).
% 14.20/9.45 tff(6962,plain,
% 14.20/9.45 ((~v100(constB22)) | ![B: $i] : ((~less_3(B)) | (v90(constB22, B) <=> v129(constB22, B)))),
% 14.20/9.45 inference(unit_resolution,[status(thm)],[6961, 5134])).
% 14.20/9.45 tff(6963,plain,
% 14.20/9.45 (![B: $i] : ((~less_3(B)) | (v90(constB22, B) <=> v129(constB22, B)))),
% 14.20/9.45 inference(unit_resolution,[status(thm)],[6962, 6958])).
% 14.20/9.45 tff(6964,plain,
% 14.20/9.45 (((~![B: $i] : ((~less_3(B)) | (v90(constB22, B) <=> v129(constB22, B)))) | ((~less_3(bitIndex2)) | (v90(constB22, bitIndex2) <=> v129(constB22, bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v90(constB22, B) <=> v129(constB22, B)))) | (~less_3(bitIndex2)) | (v90(constB22, bitIndex2) <=> v129(constB22, bitIndex2)))),
% 14.20/9.45 inference(rewrite,[status(thm)],[])).
% 14.20/9.45 tff(6965,plain,
% 14.20/9.45 ((~![B: $i] : ((~less_3(B)) | (v90(constB22, B) <=> v129(constB22, B)))) | ((~less_3(bitIndex2)) | (v90(constB22, bitIndex2) <=> v129(constB22, bitIndex2)))),
% 14.20/9.45 inference(quant_inst,[status(thm)],[])).
% 14.20/9.45 tff(6966,plain,
% 14.20/9.45 ((~![B: $i] : ((~less_3(B)) | (v90(constB22, B) <=> v129(constB22, B)))) | (~less_3(bitIndex2)) | (v90(constB22, bitIndex2) <=> v129(constB22, bitIndex2))),
% 14.20/9.45 inference(modus_ponens,[status(thm)],[6965, 6964])).
% 14.20/9.45 tff(6967,plain,
% 14.20/9.45 (v90(constB22, bitIndex2) <=> v129(constB22, bitIndex2)),
% 14.20/9.45 inference(unit_resolution,[status(thm)],[6966, 413, 6963])).
% 14.20/9.45 tff(6968,plain,
% 14.20/9.45 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v129(VarNext, B) <=> v127(VarCurr, B))))) | ((~nextState(constB21, constB22)) | ![B: $i] : ((~less_3(B)) | (v129(constB22, B) <=> v127(constB21, B))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v129(VarNext, B) <=> v127(VarCurr, B))))) | (~nextState(constB21, constB22)) | ![B: $i] : ((~less_3(B)) | (v129(constB22, B) <=> v127(constB21, B))))),
% 14.20/9.45 inference(rewrite,[status(thm)],[])).
% 14.20/9.45 tff(6969,plain,
% 14.20/9.45 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v129(VarNext, B) <=> v127(VarCurr, B))))) | ((~nextState(constB21, constB22)) | ![B: $i] : ((~less_3(B)) | (v129(constB22, B) <=> v127(constB21, B))))),
% 14.20/9.45 inference(quant_inst,[status(thm)],[])).
% 14.20/9.45 tff(6970,plain,
% 14.20/9.45 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v129(VarNext, B) <=> v127(VarCurr, B))))) | (~nextState(constB21, constB22)) | ![B: $i] : ((~less_3(B)) | (v129(constB22, B) <=> v127(constB21, B)))),
% 14.20/9.45 inference(modus_ponens,[status(thm)],[6969, 6968])).
% 14.20/9.45 tff(6971,plain,
% 14.20/9.45 (![B: $i] : ((~less_3(B)) | (v129(constB22, B) <=> v127(constB21, B)))),
% 14.20/9.45 inference(unit_resolution,[status(thm)],[6970, 3977, 5156])).
% 14.20/9.45 tff(6972,plain,
% 14.20/9.45 (((~![B: $i] : ((~less_3(B)) | (v129(constB22, B) <=> v127(constB21, B)))) | ((~less_3(bitIndex2)) | (v129(constB22, bitIndex2) <=> v127(constB21, bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v129(constB22, B) <=> v127(constB21, B)))) | (~less_3(bitIndex2)) | (v129(constB22, bitIndex2) <=> v127(constB21, bitIndex2)))),
% 14.20/9.45 inference(rewrite,[status(thm)],[])).
% 14.20/9.45 tff(6973,plain,
% 14.20/9.45 ((~![B: $i] : ((~less_3(B)) | (v129(constB22, B) <=> v127(constB21, B)))) | ((~less_3(bitIndex2)) | (v129(constB22, bitIndex2) <=> v127(constB21, bitIndex2)))),
% 14.20/9.45 inference(quant_inst,[status(thm)],[])).
% 14.20/9.45 tff(6974,plain,
% 14.20/9.45 ((~![B: $i] : ((~less_3(B)) | (v129(constB22, B) <=> v127(constB21, B)))) | (~less_3(bitIndex2)) | (v129(constB22, bitIndex2) <=> v127(constB21, bitIndex2))),
% 14.20/9.45 inference(modus_ponens,[status(thm)],[6973, 6972])).
% 14.20/9.45 tff(6975,plain,
% 14.20/9.45 (v129(constB22, bitIndex2) <=> v127(constB21, bitIndex2)),
% 14.20/9.45 inference(unit_resolution,[status(thm)],[6974, 413, 6971])).
% 14.20/9.45 tff(6976,plain,
% 14.20/9.45 (((~![VarCurr: $i] : (v111(VarCurr) | ![B: $i] : ((~less_3(B)) | (v127(VarCurr, B) <=> v130(VarCurr, B))))) | (v111(constB21) | ![B: $i] : ((~less_3(B)) | (v127(constB21, B) <=> v130(constB21, B))))) <=> ((~![VarCurr: $i] : (v111(VarCurr) | ![B: $i] : ((~less_3(B)) | (v127(VarCurr, B) <=> v130(VarCurr, B))))) | v111(constB21) | ![B: $i] : ((~less_3(B)) | (v127(constB21, B) <=> v130(constB21, B))))),
% 14.20/9.45 inference(rewrite,[status(thm)],[])).
% 14.20/9.45 tff(6977,plain,
% 14.20/9.45 ((~![VarCurr: $i] : (v111(VarCurr) | ![B: $i] : ((~less_3(B)) | (v127(VarCurr, B) <=> v130(VarCurr, B))))) | (v111(constB21) | ![B: $i] : ((~less_3(B)) | (v127(constB21, B) <=> v130(constB21, B))))),
% 14.20/9.45 inference(quant_inst,[status(thm)],[])).
% 14.20/9.45 tff(6978,plain,
% 14.20/9.45 ((~![VarCurr: $i] : (v111(VarCurr) | ![B: $i] : ((~less_3(B)) | (v127(VarCurr, B) <=> v130(VarCurr, B))))) | v111(constB21) | ![B: $i] : ((~less_3(B)) | (v127(constB21, B) <=> v130(constB21, B)))),
% 14.20/9.45 inference(modus_ponens,[status(thm)],[6977, 6976])).
% 14.20/9.45 tff(6979,plain,
% 14.20/9.45 (![B: $i] : ((~less_3(B)) | (v127(constB21, B) <=> v130(constB21, B)))),
% 14.20/9.45 inference(unit_resolution,[status(thm)],[6978, 5177, 6940])).
% 14.20/9.45 tff(6980,plain,
% 14.20/9.45 (((~![B: $i] : ((~less_3(B)) | (v127(constB21, B) <=> v130(constB21, B)))) | ((~less_3(bitIndex2)) | (v127(constB21, bitIndex2) <=> v130(constB21, bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v127(constB21, B) <=> v130(constB21, B)))) | (~less_3(bitIndex2)) | (v127(constB21, bitIndex2) <=> v130(constB21, bitIndex2)))),
% 14.20/9.45 inference(rewrite,[status(thm)],[])).
% 14.20/9.45 tff(6981,plain,
% 14.20/9.45 ((~![B: $i] : ((~less_3(B)) | (v127(constB21, B) <=> v130(constB21, B)))) | ((~less_3(bitIndex2)) | (v127(constB21, bitIndex2) <=> v130(constB21, bitIndex2)))),
% 14.20/9.45 inference(quant_inst,[status(thm)],[])).
% 14.20/9.45 tff(6982,plain,
% 14.20/9.45 ((~![B: $i] : ((~less_3(B)) | (v127(constB21, B) <=> v130(constB21, B)))) | (~less_3(bitIndex2)) | (v127(constB21, bitIndex2) <=> v130(constB21, bitIndex2))),
% 14.20/9.45 inference(modus_ponens,[status(thm)],[6981, 6980])).
% 14.20/9.45 tff(6983,plain,
% 14.20/9.45 (v127(constB21, bitIndex2) <=> v130(constB21, bitIndex2)),
% 14.20/9.45 inference(unit_resolution,[status(thm)],[6982, 413, 6979])).
% 14.20/9.45 tff(6984,plain,
% 14.20/9.45 (((~![VarCurr: $i] : ((~v122(VarCurr)) | ![B: $i] : ((~less_3(B)) | (v130(VarCurr, B) <=> b100(B))))) | ((~v122(constB21)) | ![B: $i] : ((~less_3(B)) | (v130(constB21, B) <=> b100(B))))) <=> ((~![VarCurr: $i] : ((~v122(VarCurr)) | ![B: $i] : ((~less_3(B)) | (v130(VarCurr, B) <=> b100(B))))) | (~v122(constB21)) | ![B: $i] : ((~less_3(B)) | (v130(constB21, B) <=> b100(B))))),
% 14.20/9.45 inference(rewrite,[status(thm)],[])).
% 14.20/9.45 tff(6985,plain,
% 14.20/9.45 ((~![VarCurr: $i] : ((~v122(VarCurr)) | ![B: $i] : ((~less_3(B)) | (v130(VarCurr, B) <=> b100(B))))) | ((~v122(constB21)) | ![B: $i] : ((~less_3(B)) | (v130(constB21, B) <=> b100(B))))),
% 14.20/9.45 inference(quant_inst,[status(thm)],[])).
% 14.20/9.45 tff(6986,plain,
% 14.20/9.45 ((~![VarCurr: $i] : ((~v122(VarCurr)) | ![B: $i] : ((~less_3(B)) | (v130(VarCurr, B) <=> b100(B))))) | (~v122(constB21)) | ![B: $i] : ((~less_3(B)) | (v130(constB21, B) <=> b100(B)))),
% 14.20/9.45 inference(modus_ponens,[status(thm)],[6985, 6984])).
% 14.20/9.45 tff(6987,plain,
% 14.20/9.45 ((~v122(constB21)) | ![B: $i] : ((~less_3(B)) | (v130(constB21, B) <=> b100(B)))),
% 14.20/9.45 inference(unit_resolution,[status(thm)],[6986, 6153])).
% 14.20/9.45 tff(6988,plain,
% 14.20/9.45 (![B: $i] : ((~less_3(B)) | (v130(constB21, B) <=> b100(B)))),
% 14.20/9.45 inference(unit_resolution,[status(thm)],[6987, 6915])).
% 14.20/9.45 tff(6989,plain,
% 14.20/9.45 (((~![B: $i] : ((~less_3(B)) | (v130(constB21, B) <=> b100(B)))) | ((~less_3(bitIndex2)) | (v130(constB21, bitIndex2) <=> b100(bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v130(constB21, B) <=> b100(B)))) | (~less_3(bitIndex2)) | (v130(constB21, bitIndex2) <=> b100(bitIndex2)))),
% 14.20/9.45 inference(rewrite,[status(thm)],[])).
% 14.20/9.45 tff(6990,plain,
% 14.20/9.45 ((~![B: $i] : ((~less_3(B)) | (v130(constB21, B) <=> b100(B)))) | ((~less_3(bitIndex2)) | (v130(constB21, bitIndex2) <=> b100(bitIndex2)))),
% 14.20/9.45 inference(quant_inst,[status(thm)],[])).
% 14.20/9.45 tff(6991,plain,
% 14.20/9.45 ((~![B: $i] : ((~less_3(B)) | (v130(constB21, B) <=> b100(B)))) | (~less_3(bitIndex2)) | (v130(constB21, bitIndex2) <=> b100(bitIndex2))),
% 14.20/9.45 inference(modus_ponens,[status(thm)],[6990, 6989])).
% 14.20/9.45 tff(6992,plain,
% 14.20/9.45 (v130(constB21, bitIndex2) <=> b100(bitIndex2)),
% 14.20/9.45 inference(unit_resolution,[status(thm)],[6991, 413, 6988])).
% 14.20/9.45 tff(6993,plain,
% 14.20/9.45 ((~(v130(constB21, bitIndex2) <=> b100(bitIndex2))) | v130(constB21, bitIndex2) | (~b100(bitIndex2))),
% 14.20/9.45 inference(tautology,[status(thm)],[])).
% 14.20/9.45 tff(6994,plain,
% 14.20/9.45 ((~(v130(constB21, bitIndex2) <=> b100(bitIndex2))) | v130(constB21, bitIndex2)),
% 14.20/9.45 inference(unit_resolution,[status(thm)],[6993, 5209])).
% 14.20/9.45 tff(6995,plain,
% 14.20/9.45 (v130(constB21, bitIndex2)),
% 14.20/9.45 inference(unit_resolution,[status(thm)],[6994, 6992])).
% 14.20/9.45 tff(6996,plain,
% 14.20/9.45 ((~(v127(constB21, bitIndex2) <=> v130(constB21, bitIndex2))) | v127(constB21, bitIndex2) | (~v130(constB21, bitIndex2))),
% 14.20/9.45 inference(tautology,[status(thm)],[])).
% 14.20/9.45 tff(6997,plain,
% 14.20/9.45 (v127(constB21, bitIndex2)),
% 14.20/9.45 inference(unit_resolution,[status(thm)],[6996, 6995, 6983])).
% 14.20/9.45 tff(6998,plain,
% 14.20/9.45 ((~(v129(constB22, bitIndex2) <=> v127(constB21, bitIndex2))) | v129(constB22, bitIndex2) | (~v127(constB21, bitIndex2))),
% 14.20/9.45 inference(tautology,[status(thm)],[])).
% 14.20/9.45 tff(6999,plain,
% 14.20/9.45 (v129(constB22, bitIndex2)),
% 14.20/9.45 inference(unit_resolution,[status(thm)],[6998, 6997, 6975])).
% 14.20/9.45 tff(7000,plain,
% 14.20/9.45 ((~(v90(constB22, bitIndex2) <=> v129(constB22, bitIndex2))) | v90(constB22, bitIndex2) | (~v129(constB22, bitIndex2))),
% 14.20/9.45 inference(tautology,[status(thm)],[])).
% 14.20/9.45 tff(7001,plain,
% 14.20/9.45 (v90(constB22, bitIndex2)),
% 14.20/9.45 inference(unit_resolution,[status(thm)],[7000, 6999, 6967])).
% 14.20/9.45 tff(7002,plain,
% 14.20/9.45 ((~(v90(constB23, bitIndex2) <=> v90(constB22, bitIndex2))) | v90(constB23, bitIndex2) | (~v90(constB22, bitIndex2))),
% 14.20/9.45 inference(tautology,[status(thm)],[])).
% 14.20/9.45 tff(7003,plain,
% 14.20/9.45 (v90(constB23, bitIndex2)),
% 14.20/9.45 inference(unit_resolution,[status(thm)],[7002, 7001, 3974])).
% 14.20/9.45 tff(7004,plain,
% 14.20/9.45 (((~![B: $i] : ((~less_3(B)) | (v90(constB23, B) <=> v90(constB22, B)))) | ((~less_3(bitIndex0)) | (v90(constB23, bitIndex0) <=> v90(constB22, bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v90(constB23, B) <=> v90(constB22, B)))) | (~less_3(bitIndex0)) | (v90(constB23, bitIndex0) <=> v90(constB22, bitIndex0)))),
% 14.20/9.45 inference(rewrite,[status(thm)],[])).
% 14.20/9.45 tff(7005,plain,
% 14.20/9.45 ((~![B: $i] : ((~less_3(B)) | (v90(constB23, B) <=> v90(constB22, B)))) | ((~less_3(bitIndex0)) | (v90(constB23, bitIndex0) <=> v90(constB22, bitIndex0)))),
% 14.20/9.45 inference(quant_inst,[status(thm)],[])).
% 14.20/9.45 tff(7006,plain,
% 14.20/9.45 ((~![B: $i] : ((~less_3(B)) | (v90(constB23, B) <=> v90(constB22, B)))) | (~less_3(bitIndex0)) | (v90(constB23, bitIndex0) <=> v90(constB22, bitIndex0))),
% 14.20/9.45 inference(modus_ponens,[status(thm)],[7005, 7004])).
% 14.20/9.45 tff(7007,plain,
% 14.20/9.45 (v90(constB23, bitIndex0) <=> v90(constB22, bitIndex0)),
% 14.20/9.45 inference(unit_resolution,[status(thm)],[7006, 5004, 3970])).
% 14.20/9.45 tff(7008,plain,
% 14.20/9.45 (((~![B: $i] : ((~less_3(B)) | (v90(constB22, B) <=> v129(constB22, B)))) | ((~less_3(bitIndex0)) | (v90(constB22, bitIndex0) <=> v129(constB22, bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v90(constB22, B) <=> v129(constB22, B)))) | (~less_3(bitIndex0)) | (v90(constB22, bitIndex0) <=> v129(constB22, bitIndex0)))),
% 14.20/9.45 inference(rewrite,[status(thm)],[])).
% 14.20/9.45 tff(7009,plain,
% 14.20/9.45 ((~![B: $i] : ((~less_3(B)) | (v90(constB22, B) <=> v129(constB22, B)))) | ((~less_3(bitIndex0)) | (v90(constB22, bitIndex0) <=> v129(constB22, bitIndex0)))),
% 14.20/9.45 inference(quant_inst,[status(thm)],[])).
% 14.20/9.45 tff(7010,plain,
% 14.20/9.45 ((~![B: $i] : ((~less_3(B)) | (v90(constB22, B) <=> v129(constB22, B)))) | (~less_3(bitIndex0)) | (v90(constB22, bitIndex0) <=> v129(constB22, bitIndex0))),
% 14.20/9.45 inference(modus_ponens,[status(thm)],[7009, 7008])).
% 14.20/9.45 tff(7011,plain,
% 14.20/9.45 (v90(constB22, bitIndex0) <=> v129(constB22, bitIndex0)),
% 14.20/9.45 inference(unit_resolution,[status(thm)],[7010, 5004, 6963])).
% 14.20/9.45 tff(7012,plain,
% 14.20/9.45 (((~![B: $i] : ((~less_3(B)) | (v129(constB22, B) <=> v127(constB21, B)))) | ((~less_3(bitIndex0)) | (v129(constB22, bitIndex0) <=> v127(constB21, bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v129(constB22, B) <=> v127(constB21, B)))) | (~less_3(bitIndex0)) | (v129(constB22, bitIndex0) <=> v127(constB21, bitIndex0)))),
% 14.20/9.45 inference(rewrite,[status(thm)],[])).
% 14.20/9.45 tff(7013,plain,
% 14.20/9.45 ((~![B: $i] : ((~less_3(B)) | (v129(constB22, B) <=> v127(constB21, B)))) | ((~less_3(bitIndex0)) | (v129(constB22, bitIndex0) <=> v127(constB21, bitIndex0)))),
% 14.20/9.45 inference(quant_inst,[status(thm)],[])).
% 14.20/9.45 tff(7014,plain,
% 14.20/9.45 ((~![B: $i] : ((~less_3(B)) | (v129(constB22, B) <=> v127(constB21, B)))) | (~less_3(bitIndex0)) | (v129(constB22, bitIndex0) <=> v127(constB21, bitIndex0))),
% 14.20/9.45 inference(modus_ponens,[status(thm)],[7013, 7012])).
% 14.20/9.45 tff(7015,plain,
% 14.20/9.45 (v129(constB22, bitIndex0) <=> v127(constB21, bitIndex0)),
% 14.20/9.45 inference(unit_resolution,[status(thm)],[7014, 5004, 6971])).
% 14.20/9.45 tff(7016,plain,
% 14.20/9.45 (((~![B: $i] : ((~less_3(B)) | (v127(constB21, B) <=> v130(constB21, B)))) | ((~less_3(bitIndex0)) | (v127(constB21, bitIndex0) <=> v130(constB21, bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v127(constB21, B) <=> v130(constB21, B)))) | (~less_3(bitIndex0)) | (v127(constB21, bitIndex0) <=> v130(constB21, bitIndex0)))),
% 14.20/9.45 inference(rewrite,[status(thm)],[])).
% 14.20/9.45 tff(7017,plain,
% 14.20/9.45 ((~![B: $i] : ((~less_3(B)) | (v127(constB21, B) <=> v130(constB21, B)))) | ((~less_3(bitIndex0)) | (v127(constB21, bitIndex0) <=> v130(constB21, bitIndex0)))),
% 14.20/9.45 inference(quant_inst,[status(thm)],[])).
% 14.20/9.45 tff(7018,plain,
% 14.20/9.45 ((~![B: $i] : ((~less_3(B)) | (v127(constB21, B) <=> v130(constB21, B)))) | (~less_3(bitIndex0)) | (v127(constB21, bitIndex0) <=> v130(constB21, bitIndex0))),
% 14.20/9.45 inference(modus_ponens,[status(thm)],[7017, 7016])).
% 14.20/9.45 tff(7019,plain,
% 14.20/9.45 (v127(constB21, bitIndex0) <=> v130(constB21, bitIndex0)),
% 14.20/9.45 inference(unit_resolution,[status(thm)],[7018, 5004, 6979])).
% 14.20/9.45 tff(7020,plain,
% 14.20/9.45 (((~![B: $i] : ((~less_3(B)) | (v130(constB21, B) <=> b100(B)))) | ((~less_3(bitIndex0)) | (v130(constB21, bitIndex0) <=> b100(bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v130(constB21, B) <=> b100(B)))) | (~less_3(bitIndex0)) | (v130(constB21, bitIndex0) <=> b100(bitIndex0)))),
% 14.20/9.45 inference(rewrite,[status(thm)],[])).
% 14.20/9.45 tff(7021,plain,
% 14.20/9.45 ((~![B: $i] : ((~less_3(B)) | (v130(constB21, B) <=> b100(B)))) | ((~less_3(bitIndex0)) | (v130(constB21, bitIndex0) <=> b100(bitIndex0)))),
% 14.20/9.45 inference(quant_inst,[status(thm)],[])).
% 14.20/9.45 tff(7022,plain,
% 14.20/9.45 ((~![B: $i] : ((~less_3(B)) | (v130(constB21, B) <=> b100(B)))) | (~less_3(bitIndex0)) | (v130(constB21, bitIndex0) <=> b100(bitIndex0))),
% 14.20/9.45 inference(modus_ponens,[status(thm)],[7021, 7020])).
% 14.20/9.45 tff(7023,plain,
% 14.20/9.45 (v130(constB21, bitIndex0) <=> b100(bitIndex0)),
% 14.20/9.45 inference(unit_resolution,[status(thm)],[7022, 5004, 6988])).
% 14.20/9.45 tff(7024,plain,
% 14.20/9.45 ((~(v130(constB21, bitIndex0) <=> b100(bitIndex0))) | (~v130(constB21, bitIndex0)) | b100(bitIndex0)),
% 14.20/9.45 inference(tautology,[status(thm)],[])).
% 14.20/9.45 tff(7025,plain,
% 14.20/9.45 ((~(v130(constB21, bitIndex0) <=> b100(bitIndex0))) | (~v130(constB21, bitIndex0))),
% 14.20/9.45 inference(unit_resolution,[status(thm)],[7024, 5243])).
% 14.20/9.45 tff(7026,plain,
% 14.20/9.45 (~v130(constB21, bitIndex0)),
% 14.20/9.45 inference(unit_resolution,[status(thm)],[7025, 7023])).
% 14.20/9.45 tff(7027,plain,
% 14.20/9.45 ((~(v127(constB21, bitIndex0) <=> v130(constB21, bitIndex0))) | (~v127(constB21, bitIndex0)) | v130(constB21, bitIndex0)),
% 14.20/9.45 inference(tautology,[status(thm)],[])).
% 14.20/9.45 tff(7028,plain,
% 14.20/9.45 (~v127(constB21, bitIndex0)),
% 14.20/9.45 inference(unit_resolution,[status(thm)],[7027, 7026, 7019])).
% 14.20/9.45 tff(7029,plain,
% 14.20/9.45 ((~(v129(constB22, bitIndex0) <=> v127(constB21, bitIndex0))) | (~v129(constB22, bitIndex0)) | v127(constB21, bitIndex0)),
% 14.20/9.45 inference(tautology,[status(thm)],[])).
% 14.20/9.45 tff(7030,plain,
% 14.20/9.45 (~v129(constB22, bitIndex0)),
% 14.20/9.45 inference(unit_resolution,[status(thm)],[7029, 7028, 7015])).
% 14.20/9.45 tff(7031,plain,
% 14.20/9.45 ((~(v90(constB22, bitIndex0) <=> v129(constB22, bitIndex0))) | (~v90(constB22, bitIndex0)) | v129(constB22, bitIndex0)),
% 14.20/9.45 inference(tautology,[status(thm)],[])).
% 14.20/9.45 tff(7032,plain,
% 14.20/9.45 (~v90(constB22, bitIndex0)),
% 14.20/9.45 inference(unit_resolution,[status(thm)],[7031, 7030, 7011])).
% 14.20/9.45 tff(7033,plain,
% 14.20/9.45 ((~(v90(constB23, bitIndex0) <=> v90(constB22, bitIndex0))) | (~v90(constB23, bitIndex0)) | v90(constB22, bitIndex0)),
% 14.20/9.45 inference(tautology,[status(thm)],[])).
% 14.20/9.45 tff(7034,plain,
% 14.20/9.45 (~v90(constB23, bitIndex0)),
% 14.20/9.45 inference(unit_resolution,[status(thm)],[7033, 7032, 7007])).
% 14.20/9.45 tff(7035,plain,
% 14.20/9.45 (((~![B: $i] : ((~less_3(B)) | (v90(constB23, B) <=> v90(constB22, B)))) | ((~less_3(bitIndex1)) | (v90(constB23, bitIndex1) <=> v90(constB22, bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v90(constB23, B) <=> v90(constB22, B)))) | (~less_3(bitIndex1)) | (v90(constB23, bitIndex1) <=> v90(constB22, bitIndex1)))),
% 14.20/9.45 inference(rewrite,[status(thm)],[])).
% 14.20/9.45 tff(7036,plain,
% 14.20/9.45 ((~![B: $i] : ((~less_3(B)) | (v90(constB23, B) <=> v90(constB22, B)))) | ((~less_3(bitIndex1)) | (v90(constB23, bitIndex1) <=> v90(constB22, bitIndex1)))),
% 14.20/9.45 inference(quant_inst,[status(thm)],[])).
% 14.20/9.45 tff(7037,plain,
% 14.20/9.45 ((~![B: $i] : ((~less_3(B)) | (v90(constB23, B) <=> v90(constB22, B)))) | (~less_3(bitIndex1)) | (v90(constB23, bitIndex1) <=> v90(constB22, bitIndex1))),
% 14.20/9.45 inference(modus_ponens,[status(thm)],[7036, 7035])).
% 14.20/9.45 tff(7038,plain,
% 14.20/9.45 (v90(constB23, bitIndex1) <=> v90(constB22, bitIndex1)),
% 14.20/9.45 inference(unit_resolution,[status(thm)],[7037, 5017, 3970])).
% 14.20/9.45 tff(7039,plain,
% 14.20/9.45 (((~![B: $i] : ((~less_3(B)) | (v90(constB22, B) <=> v129(constB22, B)))) | ((~less_3(bitIndex1)) | (v90(constB22, bitIndex1) <=> v129(constB22, bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v90(constB22, B) <=> v129(constB22, B)))) | (~less_3(bitIndex1)) | (v90(constB22, bitIndex1) <=> v129(constB22, bitIndex1)))),
% 14.20/9.45 inference(rewrite,[status(thm)],[])).
% 14.20/9.45 tff(7040,plain,
% 14.20/9.45 ((~![B: $i] : ((~less_3(B)) | (v90(constB22, B) <=> v129(constB22, B)))) | ((~less_3(bitIndex1)) | (v90(constB22, bitIndex1) <=> v129(constB22, bitIndex1)))),
% 14.20/9.45 inference(quant_inst,[status(thm)],[])).
% 14.20/9.45 tff(7041,plain,
% 14.20/9.45 ((~![B: $i] : ((~less_3(B)) | (v90(constB22, B) <=> v129(constB22, B)))) | (~less_3(bitIndex1)) | (v90(constB22, bitIndex1) <=> v129(constB22, bitIndex1))),
% 14.20/9.45 inference(modus_ponens,[status(thm)],[7040, 7039])).
% 14.20/9.45 tff(7042,plain,
% 14.20/9.45 (v90(constB22, bitIndex1) <=> v129(constB22, bitIndex1)),
% 14.20/9.45 inference(unit_resolution,[status(thm)],[7041, 5017, 6963])).
% 14.20/9.45 tff(7043,plain,
% 14.20/9.45 (((~![B: $i] : ((~less_3(B)) | (v129(constB22, B) <=> v127(constB21, B)))) | ((~less_3(bitIndex1)) | (v129(constB22, bitIndex1) <=> v127(constB21, bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v129(constB22, B) <=> v127(constB21, B)))) | (~less_3(bitIndex1)) | (v129(constB22, bitIndex1) <=> v127(constB21, bitIndex1)))),
% 14.20/9.45 inference(rewrite,[status(thm)],[])).
% 14.20/9.45 tff(7044,plain,
% 14.20/9.45 ((~![B: $i] : ((~less_3(B)) | (v129(constB22, B) <=> v127(constB21, B)))) | ((~less_3(bitIndex1)) | (v129(constB22, bitIndex1) <=> v127(constB21, bitIndex1)))),
% 14.20/9.45 inference(quant_inst,[status(thm)],[])).
% 14.20/9.45 tff(7045,plain,
% 14.20/9.45 ((~![B: $i] : ((~less_3(B)) | (v129(constB22, B) <=> v127(constB21, B)))) | (~less_3(bitIndex1)) | (v129(constB22, bitIndex1) <=> v127(constB21, bitIndex1))),
% 14.20/9.46 inference(modus_ponens,[status(thm)],[7044, 7043])).
% 14.20/9.46 tff(7046,plain,
% 14.20/9.46 (v129(constB22, bitIndex1) <=> v127(constB21, bitIndex1)),
% 14.20/9.46 inference(unit_resolution,[status(thm)],[7045, 5017, 6971])).
% 14.20/9.46 tff(7047,plain,
% 14.20/9.46 (((~![B: $i] : ((~less_3(B)) | (v127(constB21, B) <=> v130(constB21, B)))) | ((~less_3(bitIndex1)) | (v127(constB21, bitIndex1) <=> v130(constB21, bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v127(constB21, B) <=> v130(constB21, B)))) | (~less_3(bitIndex1)) | (v127(constB21, bitIndex1) <=> v130(constB21, bitIndex1)))),
% 14.20/9.46 inference(rewrite,[status(thm)],[])).
% 14.20/9.46 tff(7048,plain,
% 14.20/9.46 ((~![B: $i] : ((~less_3(B)) | (v127(constB21, B) <=> v130(constB21, B)))) | ((~less_3(bitIndex1)) | (v127(constB21, bitIndex1) <=> v130(constB21, bitIndex1)))),
% 14.20/9.46 inference(quant_inst,[status(thm)],[])).
% 14.20/9.46 tff(7049,plain,
% 14.20/9.46 ((~![B: $i] : ((~less_3(B)) | (v127(constB21, B) <=> v130(constB21, B)))) | (~less_3(bitIndex1)) | (v127(constB21, bitIndex1) <=> v130(constB21, bitIndex1))),
% 14.20/9.46 inference(modus_ponens,[status(thm)],[7048, 7047])).
% 14.20/9.46 tff(7050,plain,
% 14.20/9.46 (v127(constB21, bitIndex1) <=> v130(constB21, bitIndex1)),
% 14.20/9.46 inference(unit_resolution,[status(thm)],[7049, 5017, 6979])).
% 14.20/9.46 tff(7051,plain,
% 14.20/9.46 (((~![B: $i] : ((~less_3(B)) | (v130(constB21, B) <=> b100(B)))) | ((~less_3(bitIndex1)) | (v130(constB21, bitIndex1) <=> b100(bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v130(constB21, B) <=> b100(B)))) | (~less_3(bitIndex1)) | (v130(constB21, bitIndex1) <=> b100(bitIndex1)))),
% 14.20/9.46 inference(rewrite,[status(thm)],[])).
% 14.20/9.46 tff(7052,plain,
% 14.20/9.46 ((~![B: $i] : ((~less_3(B)) | (v130(constB21, B) <=> b100(B)))) | ((~less_3(bitIndex1)) | (v130(constB21, bitIndex1) <=> b100(bitIndex1)))),
% 14.20/9.46 inference(quant_inst,[status(thm)],[])).
% 14.20/9.46 tff(7053,plain,
% 14.20/9.46 ((~![B: $i] : ((~less_3(B)) | (v130(constB21, B) <=> b100(B)))) | (~less_3(bitIndex1)) | (v130(constB21, bitIndex1) <=> b100(bitIndex1))),
% 14.20/9.46 inference(modus_ponens,[status(thm)],[7052, 7051])).
% 14.20/9.46 tff(7054,plain,
% 14.20/9.46 (v130(constB21, bitIndex1) <=> b100(bitIndex1)),
% 14.20/9.46 inference(unit_resolution,[status(thm)],[7053, 5017, 6988])).
% 14.20/9.46 tff(7055,plain,
% 14.20/9.46 ((~(v130(constB21, bitIndex1) <=> b100(bitIndex1))) | (~v130(constB21, bitIndex1)) | b100(bitIndex1)),
% 14.20/9.46 inference(tautology,[status(thm)],[])).
% 14.20/9.46 tff(7056,plain,
% 14.20/9.46 ((~(v130(constB21, bitIndex1) <=> b100(bitIndex1))) | (~v130(constB21, bitIndex1))),
% 14.20/9.46 inference(unit_resolution,[status(thm)],[7055, 5277])).
% 14.20/9.46 tff(7057,plain,
% 14.20/9.46 (~v130(constB21, bitIndex1)),
% 14.20/9.46 inference(unit_resolution,[status(thm)],[7056, 7054])).
% 14.20/9.46 tff(7058,plain,
% 14.20/9.46 ((~(v127(constB21, bitIndex1) <=> v130(constB21, bitIndex1))) | (~v127(constB21, bitIndex1)) | v130(constB21, bitIndex1)),
% 14.20/9.46 inference(tautology,[status(thm)],[])).
% 14.20/9.46 tff(7059,plain,
% 14.20/9.46 (~v127(constB21, bitIndex1)),
% 14.20/9.46 inference(unit_resolution,[status(thm)],[7058, 7057, 7050])).
% 14.20/9.46 tff(7060,plain,
% 14.20/9.46 ((~(v129(constB22, bitIndex1) <=> v127(constB21, bitIndex1))) | (~v129(constB22, bitIndex1)) | v127(constB21, bitIndex1)),
% 14.20/9.46 inference(tautology,[status(thm)],[])).
% 14.20/9.46 tff(7061,plain,
% 14.20/9.46 (~v129(constB22, bitIndex1)),
% 14.20/9.46 inference(unit_resolution,[status(thm)],[7060, 7059, 7046])).
% 14.20/9.46 tff(7062,plain,
% 14.20/9.46 ((~(v90(constB22, bitIndex1) <=> v129(constB22, bitIndex1))) | (~v90(constB22, bitIndex1)) | v129(constB22, bitIndex1)),
% 14.20/9.46 inference(tautology,[status(thm)],[])).
% 14.20/9.46 tff(7063,plain,
% 14.20/9.46 (~v90(constB22, bitIndex1)),
% 14.20/9.46 inference(unit_resolution,[status(thm)],[7062, 7061, 7042])).
% 14.20/9.46 tff(7064,plain,
% 14.20/9.46 ((~(v90(constB23, bitIndex1) <=> v90(constB22, bitIndex1))) | (~v90(constB23, bitIndex1)) | v90(constB22, bitIndex1)),
% 14.20/9.46 inference(tautology,[status(thm)],[])).
% 14.20/9.46 tff(7065,plain,
% 14.20/9.46 (~v90(constB23, bitIndex1)),
% 14.20/9.46 inference(unit_resolution,[status(thm)],[7064, 7063, 7038])).
% 14.20/9.46 tff(7066,plain,
% 14.20/9.46 ((~((~v90(constB23, bitIndex2)) | v90(constB23, bitIndex1) | v90(constB23, bitIndex0))) | (~v90(constB23, bitIndex2)) | v90(constB23, bitIndex1) | v90(constB23, bitIndex0)),
% 14.20/9.46 inference(tautology,[status(thm)],[])).
% 14.20/9.46 tff(7067,plain,
% 14.20/9.46 (~((~v90(constB23, bitIndex2)) | v90(constB23, bitIndex1) | v90(constB23, bitIndex0))),
% 14.20/9.46 inference(unit_resolution,[status(thm)],[7066, 7065, 7034, 7003])).
% 14.20/9.46 tff(7068,plain,
% 14.20/9.46 ((~(v123(constB23) <=> (~((~v90(constB23, bitIndex2)) | v90(constB23, bitIndex1) | v90(constB23, bitIndex0))))) | v123(constB23) | ((~v90(constB23, bitIndex2)) | v90(constB23, bitIndex1) | v90(constB23, bitIndex0))),
% 14.20/9.46 inference(tautology,[status(thm)],[])).
% 14.20/9.46 tff(7069,plain,
% 14.20/9.46 (v123(constB23)),
% 14.20/9.46 inference(unit_resolution,[status(thm)],[7068, 7067, 3942])).
% 14.20/9.46 tff(7070,plain,
% 14.20/9.46 ((v116(constB23) | v123(constB23)) | (~v123(constB23))),
% 14.20/9.46 inference(tautology,[status(thm)],[])).
% 14.20/9.46 tff(7071,plain,
% 14.20/9.46 (v116(constB23) | v123(constB23)),
% 14.20/9.46 inference(unit_resolution,[status(thm)],[7070, 7069])).
% 14.20/9.46 tff(7072,plain,
% 14.20/9.46 ((~(v115(constB23) <=> (v116(constB23) | v123(constB23)))) | v115(constB23) | (~(v116(constB23) | v123(constB23)))),
% 14.20/9.46 inference(tautology,[status(thm)],[])).
% 14.20/9.46 tff(7073,plain,
% 14.20/9.46 (v115(constB23)),
% 14.20/9.46 inference(unit_resolution,[status(thm)],[7072, 7071, 3935])).
% 14.20/9.46 tff(7074,plain,
% 14.20/9.46 ((v115(constB23) | v124(constB23)) | (~v115(constB23))),
% 14.20/9.46 inference(tautology,[status(thm)],[])).
% 14.20/9.46 tff(7075,plain,
% 14.20/9.46 (v115(constB23) | v124(constB23)),
% 14.20/9.46 inference(unit_resolution,[status(thm)],[7074, 7073])).
% 14.20/9.46 tff(7076,plain,
% 14.20/9.46 ((~(v114(constB23) <=> (v115(constB23) | v124(constB23)))) | v114(constB23) | (~(v115(constB23) | v124(constB23)))),
% 14.20/9.46 inference(tautology,[status(thm)],[])).
% 14.20/9.46 tff(7077,plain,
% 14.20/9.46 (v114(constB23)),
% 14.20/9.46 inference(unit_resolution,[status(thm)],[7076, 7075, 3933])).
% 14.20/9.46 tff(7078,plain,
% 14.20/9.46 ((v114(constB23) | v125(constB23)) | (~v114(constB23))),
% 14.20/9.46 inference(tautology,[status(thm)],[])).
% 14.20/9.46 tff(7079,plain,
% 14.20/9.46 (v114(constB23) | v125(constB23)),
% 14.20/9.46 inference(unit_resolution,[status(thm)],[7078, 7077])).
% 14.20/9.46 tff(7080,plain,
% 14.20/9.46 ((~(v113(constB23) <=> (v114(constB23) | v125(constB23)))) | v113(constB23) | (~(v114(constB23) | v125(constB23)))),
% 14.20/9.46 inference(tautology,[status(thm)],[])).
% 14.20/9.46 tff(7081,plain,
% 14.20/9.46 (v113(constB23)),
% 14.20/9.46 inference(unit_resolution,[status(thm)],[7080, 7079, 3931])).
% 14.20/9.46 tff(7082,plain,
% 14.20/9.46 ((~![VarCurr: $i] : ((~v126(VarCurr)) <=> v111(VarCurr))) | ((~v126(constB23)) <=> v111(constB23))),
% 14.20/9.46 inference(quant_inst,[status(thm)],[])).
% 14.20/9.46 tff(7083,plain,
% 14.20/9.46 ((~v126(constB23)) <=> v111(constB23)),
% 14.20/9.46 inference(unit_resolution,[status(thm)],[7082, 5074])).
% 14.20/9.46 tff(7084,plain,
% 14.20/9.46 ((~![VarCurr: $i] : (v111(VarCurr) <=> v26(VarCurr))) | (v111(constB23) <=> v26(constB23))),
% 14.20/9.46 inference(quant_inst,[status(thm)],[])).
% 14.20/9.46 tff(7085,plain,
% 14.20/9.46 (v111(constB23) <=> v26(constB23)),
% 14.20/9.46 inference(unit_resolution,[status(thm)],[7084, 5086])).
% 14.20/9.46 tff(7086,plain,
% 14.20/9.46 ((~![VarCurr: $i] : (~v26(VarCurr))) | (~v26(constB23))),
% 14.20/9.46 inference(quant_inst,[status(thm)],[])).
% 14.20/9.46 tff(7087,plain,
% 14.20/9.46 (~v26(constB23)),
% 14.20/9.46 inference(unit_resolution,[status(thm)],[7086, 5098])).
% 14.20/9.46 tff(7088,plain,
% 14.20/9.46 ((~(v111(constB23) <=> v26(constB23))) | (~v111(constB23)) | v26(constB23)),
% 14.20/9.46 inference(tautology,[status(thm)],[])).
% 14.20/9.46 tff(7089,plain,
% 14.20/9.46 ((~(v111(constB23) <=> v26(constB23))) | (~v111(constB23))),
% 14.20/9.46 inference(unit_resolution,[status(thm)],[7088, 7087])).
% 14.20/9.46 tff(7090,plain,
% 14.20/9.46 (~v111(constB23)),
% 14.20/9.46 inference(unit_resolution,[status(thm)],[7089, 7085])).
% 14.20/9.46 tff(7091,plain,
% 14.20/9.46 ((~((~v126(constB23)) <=> v111(constB23))) | v126(constB23) | v111(constB23)),
% 14.20/9.46 inference(tautology,[status(thm)],[])).
% 14.20/9.46 tff(7092,plain,
% 14.20/9.46 ((~((~v126(constB23)) <=> v111(constB23))) | v126(constB23)),
% 14.20/9.46 inference(unit_resolution,[status(thm)],[7091, 7090])).
% 14.20/9.46 tff(7093,plain,
% 14.20/9.46 (v126(constB23)),
% 14.20/9.46 inference(unit_resolution,[status(thm)],[7092, 7083])).
% 14.20/9.46 tff(7094,plain,
% 14.20/9.46 ((~((~v113(constB23)) | (~v126(constB23)))) | (~v113(constB23)) | (~v126(constB23))),
% 14.20/9.46 inference(tautology,[status(thm)],[])).
% 14.20/9.46 tff(7095,plain,
% 14.20/9.46 ((~((~v113(constB23)) | (~v126(constB23)))) | (~v113(constB23))),
% 14.20/9.46 inference(unit_resolution,[status(thm)],[7094, 7093])).
% 14.20/9.46 tff(7096,plain,
% 14.20/9.46 (~((~v113(constB23)) | (~v126(constB23)))),
% 14.20/9.46 inference(unit_resolution,[status(thm)],[7095, 7081])).
% 14.20/9.46 tff(7097,plain,
% 14.20/9.46 ((~(v112(constB23) <=> (~((~v113(constB23)) | (~v126(constB23)))))) | v112(constB23) | ((~v113(constB23)) | (~v126(constB23)))),
% 14.20/9.46 inference(tautology,[status(thm)],[])).
% 14.20/9.46 tff(7098,plain,
% 14.20/9.46 (v112(constB23)),
% 14.20/9.46 inference(unit_resolution,[status(thm)],[7097, 7096, 3929])).
% 14.20/9.46 tff(7099,plain,
% 14.20/9.46 ((v111(constB23) | v112(constB23)) | (~v112(constB23))),
% 14.20/9.46 inference(tautology,[status(thm)],[])).
% 14.20/9.46 tff(7100,plain,
% 14.20/9.46 (v111(constB23) | v112(constB23)),
% 14.20/9.46 inference(unit_resolution,[status(thm)],[7099, 7098])).
% 14.20/9.46 tff(7101,plain,
% 14.20/9.46 ((~(v108(constB23) <=> (v111(constB23) | v112(constB23)))) | v108(constB23) | (~(v111(constB23) | v112(constB23)))),
% 14.20/9.46 inference(tautology,[status(thm)],[])).
% 14.20/9.46 tff(7102,plain,
% 14.20/9.46 (v108(constB23)),
% 14.20/9.46 inference(unit_resolution,[status(thm)],[7101, 7100, 3927])).
% 14.20/9.46 tff(7103,plain,
% 14.20/9.46 ((~(v110(constB24) <=> v108(constB23))) | v110(constB24) | (~v108(constB23))),
% 14.20/9.46 inference(tautology,[status(thm)],[])).
% 14.20/9.46 tff(7104,plain,
% 14.20/9.46 (v110(constB24)),
% 14.20/9.46 inference(unit_resolution,[status(thm)],[7103, 7102, 3925])).
% 14.20/9.46 tff(7105,plain,
% 14.20/9.46 ((~((~v101(constB24)) | (~v110(constB24)))) | (~v101(constB24)) | (~v110(constB24))),
% 14.20/9.46 inference(tautology,[status(thm)],[])).
% 14.20/9.46 tff(7106,plain,
% 14.20/9.46 (~((~v101(constB24)) | (~v110(constB24)))),
% 14.20/9.46 inference(unit_resolution,[status(thm)],[7105, 7104, 3921])).
% 14.20/9.46 tff(7107,plain,
% 14.20/9.46 ((~(v100(constB24) <=> (~((~v101(constB24)) | (~v110(constB24)))))) | v100(constB24) | ((~v101(constB24)) | (~v110(constB24)))),
% 14.20/9.46 inference(tautology,[status(thm)],[])).
% 14.20/9.46 tff(7108,plain,
% 14.20/9.46 (v100(constB24)),
% 14.20/9.46 inference(unit_resolution,[status(thm)],[7107, 7106, 3890])).
% 14.20/9.46 tff(7109,plain,
% 14.20/9.46 (((~![VarNext: $i] : ((~v100(VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v129(VarNext, B))))) | ((~v100(constB24)) | ![B: $i] : ((~less_3(B)) | (v90(constB24, B) <=> v129(constB24, B))))) <=> ((~![VarNext: $i] : ((~v100(VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v129(VarNext, B))))) | (~v100(constB24)) | ![B: $i] : ((~less_3(B)) | (v90(constB24, B) <=> v129(constB24, B))))),
% 14.20/9.46 inference(rewrite,[status(thm)],[])).
% 14.20/9.46 tff(7110,plain,
% 14.20/9.46 ((~![VarNext: $i] : ((~v100(VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v129(VarNext, B))))) | ((~v100(constB24)) | ![B: $i] : ((~less_3(B)) | (v90(constB24, B) <=> v129(constB24, B))))),
% 14.20/9.46 inference(quant_inst,[status(thm)],[])).
% 14.20/9.46 tff(7111,plain,
% 14.20/9.46 ((~![VarNext: $i] : ((~v100(VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v129(VarNext, B))))) | (~v100(constB24)) | ![B: $i] : ((~less_3(B)) | (v90(constB24, B) <=> v129(constB24, B)))),
% 14.20/9.46 inference(modus_ponens,[status(thm)],[7110, 7109])).
% 14.20/9.46 tff(7112,plain,
% 14.20/9.46 ((~v100(constB24)) | ![B: $i] : ((~less_3(B)) | (v90(constB24, B) <=> v129(constB24, B)))),
% 14.20/9.46 inference(unit_resolution,[status(thm)],[7111, 5134])).
% 14.20/9.46 tff(7113,plain,
% 14.20/9.46 (![B: $i] : ((~less_3(B)) | (v90(constB24, B) <=> v129(constB24, B)))),
% 14.20/9.46 inference(unit_resolution,[status(thm)],[7112, 7108])).
% 14.20/9.46 tff(7114,plain,
% 14.20/9.46 (((~![B: $i] : ((~less_3(B)) | (v90(constB24, B) <=> v129(constB24, B)))) | ((~less_3(bitIndex2)) | (v90(constB24, bitIndex2) <=> v129(constB24, bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v90(constB24, B) <=> v129(constB24, B)))) | (~less_3(bitIndex2)) | (v90(constB24, bitIndex2) <=> v129(constB24, bitIndex2)))),
% 14.20/9.46 inference(rewrite,[status(thm)],[])).
% 14.20/9.46 tff(7115,plain,
% 14.20/9.46 ((~![B: $i] : ((~less_3(B)) | (v90(constB24, B) <=> v129(constB24, B)))) | ((~less_3(bitIndex2)) | (v90(constB24, bitIndex2) <=> v129(constB24, bitIndex2)))),
% 14.20/9.46 inference(quant_inst,[status(thm)],[])).
% 14.20/9.46 tff(7116,plain,
% 14.20/9.46 ((~![B: $i] : ((~less_3(B)) | (v90(constB24, B) <=> v129(constB24, B)))) | (~less_3(bitIndex2)) | (v90(constB24, bitIndex2) <=> v129(constB24, bitIndex2))),
% 14.20/9.46 inference(modus_ponens,[status(thm)],[7115, 7114])).
% 14.20/9.46 tff(7117,plain,
% 14.20/9.46 (v90(constB24, bitIndex2) <=> v129(constB24, bitIndex2)),
% 14.20/9.46 inference(unit_resolution,[status(thm)],[7116, 413, 7113])).
% 14.20/9.46 tff(7118,plain,
% 14.20/9.46 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v129(VarNext, B) <=> v127(VarCurr, B))))) | ((~nextState(constB23, constB24)) | ![B: $i] : ((~less_3(B)) | (v129(constB24, B) <=> v127(constB23, B))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v129(VarNext, B) <=> v127(VarCurr, B))))) | (~nextState(constB23, constB24)) | ![B: $i] : ((~less_3(B)) | (v129(constB24, B) <=> v127(constB23, B))))),
% 14.20/9.46 inference(rewrite,[status(thm)],[])).
% 14.20/9.46 tff(7119,plain,
% 14.20/9.46 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v129(VarNext, B) <=> v127(VarCurr, B))))) | ((~nextState(constB23, constB24)) | ![B: $i] : ((~less_3(B)) | (v129(constB24, B) <=> v127(constB23, B))))),
% 14.20/9.46 inference(quant_inst,[status(thm)],[])).
% 14.20/9.46 tff(7120,plain,
% 14.20/9.46 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v129(VarNext, B) <=> v127(VarCurr, B))))) | (~nextState(constB23, constB24)) | ![B: $i] : ((~less_3(B)) | (v129(constB24, B) <=> v127(constB23, B)))),
% 14.20/9.46 inference(modus_ponens,[status(thm)],[7119, 7118])).
% 14.20/9.46 tff(7121,plain,
% 14.20/9.46 (![B: $i] : ((~less_3(B)) | (v129(constB24, B) <=> v127(constB23, B)))),
% 14.20/9.46 inference(unit_resolution,[status(thm)],[7120, 3886, 5156])).
% 14.20/9.46 tff(7122,plain,
% 14.20/9.46 (((~![B: $i] : ((~less_3(B)) | (v129(constB24, B) <=> v127(constB23, B)))) | ((~less_3(bitIndex2)) | (v129(constB24, bitIndex2) <=> v127(constB23, bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v129(constB24, B) <=> v127(constB23, B)))) | (~less_3(bitIndex2)) | (v129(constB24, bitIndex2) <=> v127(constB23, bitIndex2)))),
% 14.20/9.46 inference(rewrite,[status(thm)],[])).
% 14.20/9.46 tff(7123,plain,
% 14.20/9.46 ((~![B: $i] : ((~less_3(B)) | (v129(constB24, B) <=> v127(constB23, B)))) | ((~less_3(bitIndex2)) | (v129(constB24, bitIndex2) <=> v127(constB23, bitIndex2)))),
% 14.20/9.46 inference(quant_inst,[status(thm)],[])).
% 14.20/9.46 tff(7124,plain,
% 14.20/9.46 ((~![B: $i] : ((~less_3(B)) | (v129(constB24, B) <=> v127(constB23, B)))) | (~less_3(bitIndex2)) | (v129(constB24, bitIndex2) <=> v127(constB23, bitIndex2))),
% 14.20/9.46 inference(modus_ponens,[status(thm)],[7123, 7122])).
% 14.20/9.46 tff(7125,plain,
% 14.20/9.46 (v129(constB24, bitIndex2) <=> v127(constB23, bitIndex2)),
% 14.20/9.46 inference(unit_resolution,[status(thm)],[7124, 413, 7121])).
% 14.20/9.46 tff(7126,plain,
% 14.20/9.46 (((~![VarCurr: $i] : (v111(VarCurr) | ![B: $i] : ((~less_3(B)) | (v127(VarCurr, B) <=> v130(VarCurr, B))))) | (v111(constB23) | ![B: $i] : ((~less_3(B)) | (v127(constB23, B) <=> v130(constB23, B))))) <=> ((~![VarCurr: $i] : (v111(VarCurr) | ![B: $i] : ((~less_3(B)) | (v127(VarCurr, B) <=> v130(VarCurr, B))))) | v111(constB23) | ![B: $i] : ((~less_3(B)) | (v127(constB23, B) <=> v130(constB23, B))))),
% 14.20/9.46 inference(rewrite,[status(thm)],[])).
% 14.20/9.46 tff(7127,plain,
% 14.20/9.46 ((~![VarCurr: $i] : (v111(VarCurr) | ![B: $i] : ((~less_3(B)) | (v127(VarCurr, B) <=> v130(VarCurr, B))))) | (v111(constB23) | ![B: $i] : ((~less_3(B)) | (v127(constB23, B) <=> v130(constB23, B))))),
% 14.20/9.46 inference(quant_inst,[status(thm)],[])).
% 14.20/9.46 tff(7128,plain,
% 14.20/9.46 ((~![VarCurr: $i] : (v111(VarCurr) | ![B: $i] : ((~less_3(B)) | (v127(VarCurr, B) <=> v130(VarCurr, B))))) | v111(constB23) | ![B: $i] : ((~less_3(B)) | (v127(constB23, B) <=> v130(constB23, B)))),
% 14.20/9.46 inference(modus_ponens,[status(thm)],[7127, 7126])).
% 14.20/9.46 tff(7129,plain,
% 14.20/9.46 (![B: $i] : ((~less_3(B)) | (v127(constB23, B) <=> v130(constB23, B)))),
% 14.20/9.46 inference(unit_resolution,[status(thm)],[7128, 5177, 7090])).
% 14.20/9.46 tff(7130,plain,
% 14.20/9.46 (((~![B: $i] : ((~less_3(B)) | (v127(constB23, B) <=> v130(constB23, B)))) | ((~less_3(bitIndex2)) | (v127(constB23, bitIndex2) <=> v130(constB23, bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v127(constB23, B) <=> v130(constB23, B)))) | (~less_3(bitIndex2)) | (v127(constB23, bitIndex2) <=> v130(constB23, bitIndex2)))),
% 14.20/9.46 inference(rewrite,[status(thm)],[])).
% 14.20/9.46 tff(7131,plain,
% 14.20/9.46 ((~![B: $i] : ((~less_3(B)) | (v127(constB23, B) <=> v130(constB23, B)))) | ((~less_3(bitIndex2)) | (v127(constB23, bitIndex2) <=> v130(constB23, bitIndex2)))),
% 14.20/9.46 inference(quant_inst,[status(thm)],[])).
% 14.20/9.46 tff(7132,plain,
% 14.20/9.46 ((~![B: $i] : ((~less_3(B)) | (v127(constB23, B) <=> v130(constB23, B)))) | (~less_3(bitIndex2)) | (v127(constB23, bitIndex2) <=> v130(constB23, bitIndex2))),
% 14.20/9.46 inference(modus_ponens,[status(thm)],[7131, 7130])).
% 14.20/9.46 tff(7133,plain,
% 14.20/9.46 (v127(constB23, bitIndex2) <=> v130(constB23, bitIndex2)),
% 14.20/9.46 inference(unit_resolution,[status(thm)],[7132, 413, 7129])).
% 14.20/9.46 tff(7134,plain,
% 14.20/9.46 (((~![VarCurr: $i] : ((~v123(VarCurr)) | ![B: $i] : ((~less_3(B)) | (v130(VarCurr, B) <=> b110(B))))) | ((~v123(constB23)) | ![B: $i] : ((~less_3(B)) | (v130(constB23, B) <=> b110(B))))) <=> ((~![VarCurr: $i] : ((~v123(VarCurr)) | ![B: $i] : ((~less_3(B)) | (v130(VarCurr, B) <=> b110(B))))) | (~v123(constB23)) | ![B: $i] : ((~less_3(B)) | (v130(constB23, B) <=> b110(B))))),
% 14.20/9.46 inference(rewrite,[status(thm)],[])).
% 14.20/9.46 tff(7135,plain,
% 14.20/9.46 ((~![VarCurr: $i] : ((~v123(VarCurr)) | ![B: $i] : ((~less_3(B)) | (v130(VarCurr, B) <=> b110(B))))) | ((~v123(constB23)) | ![B: $i] : ((~less_3(B)) | (v130(constB23, B) <=> b110(B))))),
% 14.20/9.46 inference(quant_inst,[status(thm)],[])).
% 14.20/9.46 tff(7136,plain,
% 14.20/9.46 ((~![VarCurr: $i] : ((~v123(VarCurr)) | ![B: $i] : ((~less_3(B)) | (v130(VarCurr, B) <=> b110(B))))) | (~v123(constB23)) | ![B: $i] : ((~less_3(B)) | (v130(constB23, B) <=> b110(B)))),
% 14.20/9.46 inference(modus_ponens,[status(thm)],[7135, 7134])).
% 14.20/9.46 tff(7137,plain,
% 14.20/9.46 ((~v123(constB23)) | ![B: $i] : ((~less_3(B)) | (v130(constB23, B) <=> b110(B)))),
% 14.20/9.46 inference(unit_resolution,[status(thm)],[7136, 5369])).
% 14.20/9.46 tff(7138,plain,
% 14.20/9.46 (![B: $i] : ((~less_3(B)) | (v130(constB23, B) <=> b110(B)))),
% 14.20/9.46 inference(unit_resolution,[status(thm)],[7137, 7069])).
% 14.20/9.46 tff(7139,plain,
% 14.20/9.46 (((~![B: $i] : ((~less_3(B)) | (v130(constB23, B) <=> b110(B)))) | ((~less_3(bitIndex2)) | (v130(constB23, bitIndex2) <=> b110(bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v130(constB23, B) <=> b110(B)))) | (~less_3(bitIndex2)) | (v130(constB23, bitIndex2) <=> b110(bitIndex2)))),
% 14.20/9.46 inference(rewrite,[status(thm)],[])).
% 14.20/9.46 tff(7140,plain,
% 14.20/9.46 ((~![B: $i] : ((~less_3(B)) | (v130(constB23, B) <=> b110(B)))) | ((~less_3(bitIndex2)) | (v130(constB23, bitIndex2) <=> b110(bitIndex2)))),
% 14.20/9.46 inference(quant_inst,[status(thm)],[])).
% 14.20/9.46 tff(7141,plain,
% 14.20/9.46 ((~![B: $i] : ((~less_3(B)) | (v130(constB23, B) <=> b110(B)))) | (~less_3(bitIndex2)) | (v130(constB23, bitIndex2) <=> b110(bitIndex2))),
% 14.20/9.46 inference(modus_ponens,[status(thm)],[7140, 7139])).
% 14.20/9.46 tff(7142,plain,
% 14.20/9.46 (v130(constB23, bitIndex2) <=> b110(bitIndex2)),
% 14.20/9.46 inference(unit_resolution,[status(thm)],[7141, 413, 7138])).
% 14.20/9.46 tff(7143,plain,
% 14.20/9.46 ((~(v130(constB23, bitIndex2) <=> b110(bitIndex2))) | v130(constB23, bitIndex2) | (~b110(bitIndex2))),
% 14.20/9.46 inference(tautology,[status(thm)],[])).
% 14.20/9.46 tff(7144,plain,
% 14.20/9.46 ((~(v130(constB23, bitIndex2) <=> b110(bitIndex2))) | v130(constB23, bitIndex2)),
% 14.20/9.46 inference(unit_resolution,[status(thm)],[7143, 5381])).
% 14.20/9.46 tff(7145,plain,
% 14.20/9.46 (v130(constB23, bitIndex2)),
% 14.20/9.46 inference(unit_resolution,[status(thm)],[7144, 7142])).
% 14.20/9.46 tff(7146,plain,
% 14.20/9.46 ((~(v127(constB23, bitIndex2) <=> v130(constB23, bitIndex2))) | v127(constB23, bitIndex2) | (~v130(constB23, bitIndex2))),
% 14.20/9.46 inference(tautology,[status(thm)],[])).
% 14.20/9.46 tff(7147,plain,
% 14.20/9.46 (v127(constB23, bitIndex2)),
% 14.20/9.46 inference(unit_resolution,[status(thm)],[7146, 7145, 7133])).
% 14.20/9.46 tff(7148,plain,
% 14.20/9.46 ((~(v129(constB24, bitIndex2) <=> v127(constB23, bitIndex2))) | v129(constB24, bitIndex2) | (~v127(constB23, bitIndex2))),
% 14.20/9.46 inference(tautology,[status(thm)],[])).
% 14.20/9.46 tff(7149,plain,
% 14.20/9.46 (v129(constB24, bitIndex2)),
% 14.20/9.46 inference(unit_resolution,[status(thm)],[7148, 7147, 7125])).
% 14.20/9.46 tff(7150,plain,
% 14.20/9.46 ((~(v90(constB24, bitIndex2) <=> v129(constB24, bitIndex2))) | v90(constB24, bitIndex2) | (~v129(constB24, bitIndex2))),
% 14.20/9.46 inference(tautology,[status(thm)],[])).
% 14.20/9.46 tff(7151,plain,
% 14.20/9.46 (v90(constB24, bitIndex2)),
% 14.20/9.46 inference(unit_resolution,[status(thm)],[7150, 7149, 7117])).
% 14.20/9.46 tff(7152,plain,
% 14.20/9.46 ((~(v90(constB25, bitIndex2) <=> v90(constB24, bitIndex2))) | v90(constB25, bitIndex2) | (~v90(constB24, bitIndex2))),
% 14.20/9.46 inference(tautology,[status(thm)],[])).
% 14.20/9.46 tff(7153,plain,
% 14.20/9.46 (v90(constB25, bitIndex2)),
% 14.20/9.46 inference(unit_resolution,[status(thm)],[7152, 7151, 3883])).
% 14.20/9.46 tff(7154,plain,
% 14.20/9.46 (((~![B: $i] : ((~less_3(B)) | (v90(constB25, B) <=> v90(constB24, B)))) | ((~less_3(bitIndex0)) | (v90(constB25, bitIndex0) <=> v90(constB24, bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v90(constB25, B) <=> v90(constB24, B)))) | (~less_3(bitIndex0)) | (v90(constB25, bitIndex0) <=> v90(constB24, bitIndex0)))),
% 14.20/9.46 inference(rewrite,[status(thm)],[])).
% 14.20/9.46 tff(7155,plain,
% 14.20/9.46 ((~![B: $i] : ((~less_3(B)) | (v90(constB25, B) <=> v90(constB24, B)))) | ((~less_3(bitIndex0)) | (v90(constB25, bitIndex0) <=> v90(constB24, bitIndex0)))),
% 14.20/9.46 inference(quant_inst,[status(thm)],[])).
% 14.20/9.46 tff(7156,plain,
% 14.20/9.46 ((~![B: $i] : ((~less_3(B)) | (v90(constB25, B) <=> v90(constB24, B)))) | (~less_3(bitIndex0)) | (v90(constB25, bitIndex0) <=> v90(constB24, bitIndex0))),
% 14.20/9.46 inference(modus_ponens,[status(thm)],[7155, 7154])).
% 14.20/9.46 tff(7157,plain,
% 14.20/9.46 (v90(constB25, bitIndex0) <=> v90(constB24, bitIndex0)),
% 14.20/9.46 inference(unit_resolution,[status(thm)],[7156, 5004, 3879])).
% 14.20/9.46 tff(7158,plain,
% 14.20/9.46 (((~![B: $i] : ((~less_3(B)) | (v90(constB24, B) <=> v129(constB24, B)))) | ((~less_3(bitIndex0)) | (v90(constB24, bitIndex0) <=> v129(constB24, bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v90(constB24, B) <=> v129(constB24, B)))) | (~less_3(bitIndex0)) | (v90(constB24, bitIndex0) <=> v129(constB24, bitIndex0)))),
% 14.20/9.46 inference(rewrite,[status(thm)],[])).
% 14.20/9.46 tff(7159,plain,
% 14.20/9.46 ((~![B: $i] : ((~less_3(B)) | (v90(constB24, B) <=> v129(constB24, B)))) | ((~less_3(bitIndex0)) | (v90(constB24, bitIndex0) <=> v129(constB24, bitIndex0)))),
% 14.20/9.46 inference(quant_inst,[status(thm)],[])).
% 14.20/9.46 tff(7160,plain,
% 14.20/9.46 ((~![B: $i] : ((~less_3(B)) | (v90(constB24, B) <=> v129(constB24, B)))) | (~less_3(bitIndex0)) | (v90(constB24, bitIndex0) <=> v129(constB24, bitIndex0))),
% 14.20/9.46 inference(modus_ponens,[status(thm)],[7159, 7158])).
% 14.20/9.46 tff(7161,plain,
% 14.20/9.46 (v90(constB24, bitIndex0) <=> v129(constB24, bitIndex0)),
% 14.20/9.46 inference(unit_resolution,[status(thm)],[7160, 5004, 7113])).
% 14.20/9.46 tff(7162,plain,
% 14.20/9.46 (((~![B: $i] : ((~less_3(B)) | (v129(constB24, B) <=> v127(constB23, B)))) | ((~less_3(bitIndex0)) | (v129(constB24, bitIndex0) <=> v127(constB23, bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v129(constB24, B) <=> v127(constB23, B)))) | (~less_3(bitIndex0)) | (v129(constB24, bitIndex0) <=> v127(constB23, bitIndex0)))),
% 14.20/9.46 inference(rewrite,[status(thm)],[])).
% 14.20/9.46 tff(7163,plain,
% 14.20/9.46 ((~![B: $i] : ((~less_3(B)) | (v129(constB24, B) <=> v127(constB23, B)))) | ((~less_3(bitIndex0)) | (v129(constB24, bitIndex0) <=> v127(constB23, bitIndex0)))),
% 14.20/9.46 inference(quant_inst,[status(thm)],[])).
% 14.20/9.46 tff(7164,plain,
% 14.20/9.46 ((~![B: $i] : ((~less_3(B)) | (v129(constB24, B) <=> v127(constB23, B)))) | (~less_3(bitIndex0)) | (v129(constB24, bitIndex0) <=> v127(constB23, bitIndex0))),
% 14.20/9.46 inference(modus_ponens,[status(thm)],[7163, 7162])).
% 14.20/9.46 tff(7165,plain,
% 14.20/9.46 (v129(constB24, bitIndex0) <=> v127(constB23, bitIndex0)),
% 14.20/9.46 inference(unit_resolution,[status(thm)],[7164, 5004, 7121])).
% 14.20/9.46 tff(7166,plain,
% 14.20/9.46 (((~![B: $i] : ((~less_3(B)) | (v127(constB23, B) <=> v130(constB23, B)))) | ((~less_3(bitIndex0)) | (v127(constB23, bitIndex0) <=> v130(constB23, bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v127(constB23, B) <=> v130(constB23, B)))) | (~less_3(bitIndex0)) | (v127(constB23, bitIndex0) <=> v130(constB23, bitIndex0)))),
% 14.20/9.46 inference(rewrite,[status(thm)],[])).
% 14.20/9.46 tff(7167,plain,
% 14.20/9.46 ((~![B: $i] : ((~less_3(B)) | (v127(constB23, B) <=> v130(constB23, B)))) | ((~less_3(bitIndex0)) | (v127(constB23, bitIndex0) <=> v130(constB23, bitIndex0)))),
% 14.20/9.46 inference(quant_inst,[status(thm)],[])).
% 14.20/9.46 tff(7168,plain,
% 14.20/9.46 ((~![B: $i] : ((~less_3(B)) | (v127(constB23, B) <=> v130(constB23, B)))) | (~less_3(bitIndex0)) | (v127(constB23, bitIndex0) <=> v130(constB23, bitIndex0))),
% 14.20/9.46 inference(modus_ponens,[status(thm)],[7167, 7166])).
% 14.20/9.46 tff(7169,plain,
% 14.20/9.46 (v127(constB23, bitIndex0) <=> v130(constB23, bitIndex0)),
% 14.20/9.46 inference(unit_resolution,[status(thm)],[7168, 5004, 7129])).
% 14.20/9.46 tff(7170,plain,
% 14.20/9.46 (((~![B: $i] : ((~less_3(B)) | (v130(constB23, B) <=> b110(B)))) | ((~less_3(bitIndex0)) | (v130(constB23, bitIndex0) <=> b110(bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v130(constB23, B) <=> b110(B)))) | (~less_3(bitIndex0)) | (v130(constB23, bitIndex0) <=> b110(bitIndex0)))),
% 14.20/9.46 inference(rewrite,[status(thm)],[])).
% 14.20/9.46 tff(7171,plain,
% 14.20/9.46 ((~![B: $i] : ((~less_3(B)) | (v130(constB23, B) <=> b110(B)))) | ((~less_3(bitIndex0)) | (v130(constB23, bitIndex0) <=> b110(bitIndex0)))),
% 14.20/9.46 inference(quant_inst,[status(thm)],[])).
% 14.20/9.46 tff(7172,plain,
% 14.20/9.46 ((~![B: $i] : ((~less_3(B)) | (v130(constB23, B) <=> b110(B)))) | (~less_3(bitIndex0)) | (v130(constB23, bitIndex0) <=> b110(bitIndex0))),
% 14.20/9.46 inference(modus_ponens,[status(thm)],[7171, 7170])).
% 14.20/9.46 tff(7173,plain,
% 14.20/9.46 (v130(constB23, bitIndex0) <=> b110(bitIndex0)),
% 14.20/9.46 inference(unit_resolution,[status(thm)],[7172, 5004, 7138])).
% 14.20/9.46 tff(7174,plain,
% 14.20/9.46 ((~(v130(constB23, bitIndex0) <=> b110(bitIndex0))) | (~v130(constB23, bitIndex0)) | b110(bitIndex0)),
% 14.20/9.46 inference(tautology,[status(thm)],[])).
% 14.20/9.46 tff(7175,plain,
% 14.20/9.46 ((~(v130(constB23, bitIndex0) <=> b110(bitIndex0))) | (~v130(constB23, bitIndex0))),
% 14.20/9.46 inference(unit_resolution,[status(thm)],[7174, 5415])).
% 14.20/9.46 tff(7176,plain,
% 14.20/9.46 (~v130(constB23, bitIndex0)),
% 14.20/9.46 inference(unit_resolution,[status(thm)],[7175, 7173])).
% 14.20/9.46 tff(7177,plain,
% 14.20/9.46 ((~(v127(constB23, bitIndex0) <=> v130(constB23, bitIndex0))) | (~v127(constB23, bitIndex0)) | v130(constB23, bitIndex0)),
% 14.20/9.46 inference(tautology,[status(thm)],[])).
% 14.20/9.46 tff(7178,plain,
% 14.20/9.46 (~v127(constB23, bitIndex0)),
% 14.20/9.46 inference(unit_resolution,[status(thm)],[7177, 7176, 7169])).
% 14.20/9.46 tff(7179,plain,
% 14.20/9.46 ((~(v129(constB24, bitIndex0) <=> v127(constB23, bitIndex0))) | (~v129(constB24, bitIndex0)) | v127(constB23, bitIndex0)),
% 14.20/9.46 inference(tautology,[status(thm)],[])).
% 14.20/9.46 tff(7180,plain,
% 14.20/9.46 (~v129(constB24, bitIndex0)),
% 14.20/9.46 inference(unit_resolution,[status(thm)],[7179, 7178, 7165])).
% 14.20/9.46 tff(7181,plain,
% 14.20/9.46 ((~(v90(constB24, bitIndex0) <=> v129(constB24, bitIndex0))) | (~v90(constB24, bitIndex0)) | v129(constB24, bitIndex0)),
% 14.20/9.46 inference(tautology,[status(thm)],[])).
% 14.20/9.46 tff(7182,plain,
% 14.20/9.46 (~v90(constB24, bitIndex0)),
% 14.20/9.46 inference(unit_resolution,[status(thm)],[7181, 7180, 7161])).
% 14.20/9.46 tff(7183,plain,
% 14.20/9.46 ((~(v90(constB25, bitIndex0) <=> v90(constB24, bitIndex0))) | (~v90(constB25, bitIndex0)) | v90(constB24, bitIndex0)),
% 14.20/9.46 inference(tautology,[status(thm)],[])).
% 14.20/9.46 tff(7184,plain,
% 14.20/9.46 (~v90(constB25, bitIndex0)),
% 14.20/9.46 inference(unit_resolution,[status(thm)],[7183, 7182, 7157])).
% 14.20/9.46 tff(7185,plain,
% 14.20/9.46 (((~![B: $i] : ((~less_3(B)) | (v90(constB25, B) <=> v90(constB24, B)))) | ((~less_3(bitIndex1)) | (v90(constB25, bitIndex1) <=> v90(constB24, bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v90(constB25, B) <=> v90(constB24, B)))) | (~less_3(bitIndex1)) | (v90(constB25, bitIndex1) <=> v90(constB24, bitIndex1)))),
% 14.20/9.46 inference(rewrite,[status(thm)],[])).
% 14.20/9.46 tff(7186,plain,
% 14.20/9.46 ((~![B: $i] : ((~less_3(B)) | (v90(constB25, B) <=> v90(constB24, B)))) | ((~less_3(bitIndex1)) | (v90(constB25, bitIndex1) <=> v90(constB24, bitIndex1)))),
% 14.20/9.46 inference(quant_inst,[status(thm)],[])).
% 14.20/9.46 tff(7187,plain,
% 14.20/9.46 ((~![B: $i] : ((~less_3(B)) | (v90(constB25, B) <=> v90(constB24, B)))) | (~less_3(bitIndex1)) | (v90(constB25, bitIndex1) <=> v90(constB24, bitIndex1))),
% 14.20/9.46 inference(modus_ponens,[status(thm)],[7186, 7185])).
% 14.20/9.46 tff(7188,plain,
% 14.20/9.46 (v90(constB25, bitIndex1) <=> v90(constB24, bitIndex1)),
% 14.20/9.46 inference(unit_resolution,[status(thm)],[7187, 5017, 3879])).
% 14.20/9.46 tff(7189,plain,
% 14.20/9.46 (((~![B: $i] : ((~less_3(B)) | (v90(constB24, B) <=> v129(constB24, B)))) | ((~less_3(bitIndex1)) | (v90(constB24, bitIndex1) <=> v129(constB24, bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v90(constB24, B) <=> v129(constB24, B)))) | (~less_3(bitIndex1)) | (v90(constB24, bitIndex1) <=> v129(constB24, bitIndex1)))),
% 14.20/9.46 inference(rewrite,[status(thm)],[])).
% 14.20/9.46 tff(7190,plain,
% 14.20/9.46 ((~![B: $i] : ((~less_3(B)) | (v90(constB24, B) <=> v129(constB24, B)))) | ((~less_3(bitIndex1)) | (v90(constB24, bitIndex1) <=> v129(constB24, bitIndex1)))),
% 14.20/9.46 inference(quant_inst,[status(thm)],[])).
% 14.20/9.46 tff(7191,plain,
% 14.20/9.46 ((~![B: $i] : ((~less_3(B)) | (v90(constB24, B) <=> v129(constB24, B)))) | (~less_3(bitIndex1)) | (v90(constB24, bitIndex1) <=> v129(constB24, bitIndex1))),
% 14.20/9.46 inference(modus_ponens,[status(thm)],[7190, 7189])).
% 14.20/9.47 tff(7192,plain,
% 14.20/9.47 (v90(constB24, bitIndex1) <=> v129(constB24, bitIndex1)),
% 14.20/9.47 inference(unit_resolution,[status(thm)],[7191, 5017, 7113])).
% 14.20/9.47 tff(7193,plain,
% 14.20/9.47 (((~![B: $i] : ((~less_3(B)) | (v129(constB24, B) <=> v127(constB23, B)))) | ((~less_3(bitIndex1)) | (v129(constB24, bitIndex1) <=> v127(constB23, bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v129(constB24, B) <=> v127(constB23, B)))) | (~less_3(bitIndex1)) | (v129(constB24, bitIndex1) <=> v127(constB23, bitIndex1)))),
% 14.20/9.47 inference(rewrite,[status(thm)],[])).
% 14.20/9.47 tff(7194,plain,
% 14.20/9.47 ((~![B: $i] : ((~less_3(B)) | (v129(constB24, B) <=> v127(constB23, B)))) | ((~less_3(bitIndex1)) | (v129(constB24, bitIndex1) <=> v127(constB23, bitIndex1)))),
% 14.20/9.47 inference(quant_inst,[status(thm)],[])).
% 14.20/9.47 tff(7195,plain,
% 14.20/9.47 ((~![B: $i] : ((~less_3(B)) | (v129(constB24, B) <=> v127(constB23, B)))) | (~less_3(bitIndex1)) | (v129(constB24, bitIndex1) <=> v127(constB23, bitIndex1))),
% 14.20/9.47 inference(modus_ponens,[status(thm)],[7194, 7193])).
% 14.20/9.47 tff(7196,plain,
% 14.20/9.47 (v129(constB24, bitIndex1) <=> v127(constB23, bitIndex1)),
% 14.20/9.47 inference(unit_resolution,[status(thm)],[7195, 5017, 7121])).
% 14.20/9.47 tff(7197,plain,
% 14.20/9.47 (((~![B: $i] : ((~less_3(B)) | (v127(constB23, B) <=> v130(constB23, B)))) | ((~less_3(bitIndex1)) | (v127(constB23, bitIndex1) <=> v130(constB23, bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v127(constB23, B) <=> v130(constB23, B)))) | (~less_3(bitIndex1)) | (v127(constB23, bitIndex1) <=> v130(constB23, bitIndex1)))),
% 14.20/9.47 inference(rewrite,[status(thm)],[])).
% 14.20/9.47 tff(7198,plain,
% 14.20/9.47 ((~![B: $i] : ((~less_3(B)) | (v127(constB23, B) <=> v130(constB23, B)))) | ((~less_3(bitIndex1)) | (v127(constB23, bitIndex1) <=> v130(constB23, bitIndex1)))),
% 14.20/9.47 inference(quant_inst,[status(thm)],[])).
% 14.20/9.47 tff(7199,plain,
% 14.20/9.47 ((~![B: $i] : ((~less_3(B)) | (v127(constB23, B) <=> v130(constB23, B)))) | (~less_3(bitIndex1)) | (v127(constB23, bitIndex1) <=> v130(constB23, bitIndex1))),
% 14.20/9.47 inference(modus_ponens,[status(thm)],[7198, 7197])).
% 14.20/9.47 tff(7200,plain,
% 14.20/9.47 (v127(constB23, bitIndex1) <=> v130(constB23, bitIndex1)),
% 14.20/9.47 inference(unit_resolution,[status(thm)],[7199, 5017, 7129])).
% 14.20/9.47 tff(7201,plain,
% 14.20/9.47 (((~![B: $i] : ((~less_3(B)) | (v130(constB23, B) <=> b110(B)))) | ((~less_3(bitIndex1)) | (v130(constB23, bitIndex1) <=> b110(bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v130(constB23, B) <=> b110(B)))) | (~less_3(bitIndex1)) | (v130(constB23, bitIndex1) <=> b110(bitIndex1)))),
% 14.20/9.47 inference(rewrite,[status(thm)],[])).
% 14.20/9.47 tff(7202,plain,
% 14.20/9.47 ((~![B: $i] : ((~less_3(B)) | (v130(constB23, B) <=> b110(B)))) | ((~less_3(bitIndex1)) | (v130(constB23, bitIndex1) <=> b110(bitIndex1)))),
% 14.20/9.47 inference(quant_inst,[status(thm)],[])).
% 14.20/9.47 tff(7203,plain,
% 14.20/9.47 ((~![B: $i] : ((~less_3(B)) | (v130(constB23, B) <=> b110(B)))) | (~less_3(bitIndex1)) | (v130(constB23, bitIndex1) <=> b110(bitIndex1))),
% 14.20/9.47 inference(modus_ponens,[status(thm)],[7202, 7201])).
% 14.20/9.47 tff(7204,plain,
% 14.20/9.47 (v130(constB23, bitIndex1) <=> b110(bitIndex1)),
% 14.20/9.47 inference(unit_resolution,[status(thm)],[7203, 5017, 7138])).
% 14.20/9.47 tff(7205,plain,
% 14.20/9.47 ((~(v130(constB23, bitIndex1) <=> b110(bitIndex1))) | v130(constB23, bitIndex1) | (~b110(bitIndex1))),
% 14.20/9.47 inference(tautology,[status(thm)],[])).
% 14.20/9.47 tff(7206,plain,
% 14.20/9.47 ((~(v130(constB23, bitIndex1) <=> b110(bitIndex1))) | v130(constB23, bitIndex1)),
% 14.20/9.47 inference(unit_resolution,[status(thm)],[7205, 5449])).
% 14.20/9.47 tff(7207,plain,
% 14.20/9.47 (v130(constB23, bitIndex1)),
% 14.20/9.47 inference(unit_resolution,[status(thm)],[7206, 7204])).
% 14.20/9.47 tff(7208,plain,
% 14.20/9.47 ((~(v127(constB23, bitIndex1) <=> v130(constB23, bitIndex1))) | v127(constB23, bitIndex1) | (~v130(constB23, bitIndex1))),
% 14.20/9.47 inference(tautology,[status(thm)],[])).
% 14.20/9.47 tff(7209,plain,
% 14.20/9.47 (v127(constB23, bitIndex1)),
% 14.20/9.47 inference(unit_resolution,[status(thm)],[7208, 7207, 7200])).
% 14.20/9.47 tff(7210,plain,
% 14.20/9.47 ((~(v129(constB24, bitIndex1) <=> v127(constB23, bitIndex1))) | v129(constB24, bitIndex1) | (~v127(constB23, bitIndex1))),
% 14.20/9.47 inference(tautology,[status(thm)],[])).
% 14.20/9.47 tff(7211,plain,
% 14.20/9.47 (v129(constB24, bitIndex1)),
% 14.20/9.47 inference(unit_resolution,[status(thm)],[7210, 7209, 7196])).
% 14.20/9.47 tff(7212,plain,
% 14.20/9.47 ((~(v90(constB24, bitIndex1) <=> v129(constB24, bitIndex1))) | v90(constB24, bitIndex1) | (~v129(constB24, bitIndex1))),
% 14.20/9.47 inference(tautology,[status(thm)],[])).
% 14.20/9.47 tff(7213,plain,
% 14.20/9.47 (v90(constB24, bitIndex1)),
% 14.20/9.47 inference(unit_resolution,[status(thm)],[7212, 7211, 7192])).
% 14.20/9.47 tff(7214,plain,
% 14.20/9.47 ((~(v90(constB25, bitIndex1) <=> v90(constB24, bitIndex1))) | v90(constB25, bitIndex1) | (~v90(constB24, bitIndex1))),
% 14.20/9.47 inference(tautology,[status(thm)],[])).
% 14.20/9.47 tff(7215,plain,
% 14.20/9.47 (v90(constB25, bitIndex1)),
% 14.20/9.47 inference(unit_resolution,[status(thm)],[7214, 7213, 7188])).
% 14.20/9.47 tff(7216,plain,
% 14.20/9.47 ((~((~v90(constB25, bitIndex2)) | (~v90(constB25, bitIndex1)) | v90(constB25, bitIndex0))) | (~v90(constB25, bitIndex2)) | (~v90(constB25, bitIndex1)) | v90(constB25, bitIndex0)),
% 14.20/9.47 inference(tautology,[status(thm)],[])).
% 14.20/9.47 tff(7217,plain,
% 14.20/9.47 (~((~v90(constB25, bitIndex2)) | (~v90(constB25, bitIndex1)) | v90(constB25, bitIndex0))),
% 14.20/9.47 inference(unit_resolution,[status(thm)],[7216, 7215, 7184, 7153])).
% 14.20/9.47 tff(7218,plain,
% 14.20/9.47 ((~(v125(constB25) <=> (~((~v90(constB25, bitIndex2)) | (~v90(constB25, bitIndex1)) | v90(constB25, bitIndex0))))) | v125(constB25) | ((~v90(constB25, bitIndex2)) | (~v90(constB25, bitIndex1)) | v90(constB25, bitIndex0))),
% 14.20/9.47 inference(tautology,[status(thm)],[])).
% 14.20/9.47 tff(7219,plain,
% 14.20/9.47 (v125(constB25)),
% 14.20/9.47 inference(unit_resolution,[status(thm)],[7218, 7217, 3851])).
% 14.20/9.47 tff(7220,plain,
% 14.20/9.47 ((v114(constB25) | v125(constB25)) | (~v125(constB25))),
% 14.20/9.47 inference(tautology,[status(thm)],[])).
% 14.20/9.47 tff(7221,plain,
% 14.20/9.47 (v114(constB25) | v125(constB25)),
% 14.20/9.47 inference(unit_resolution,[status(thm)],[7220, 7219])).
% 14.20/9.47 tff(7222,plain,
% 14.20/9.47 ((~(v113(constB25) <=> (v114(constB25) | v125(constB25)))) | v113(constB25) | (~(v114(constB25) | v125(constB25)))),
% 14.20/9.47 inference(tautology,[status(thm)],[])).
% 14.20/9.47 tff(7223,plain,
% 14.20/9.47 (v113(constB25)),
% 14.20/9.47 inference(unit_resolution,[status(thm)],[7222, 7221, 3844])).
% 14.20/9.47 tff(7224,plain,
% 14.20/9.47 ((~![VarCurr: $i] : ((~v126(VarCurr)) <=> v111(VarCurr))) | ((~v126(constB25)) <=> v111(constB25))),
% 14.20/9.47 inference(quant_inst,[status(thm)],[])).
% 14.20/9.47 tff(7225,plain,
% 14.20/9.47 ((~v126(constB25)) <=> v111(constB25)),
% 14.20/9.47 inference(unit_resolution,[status(thm)],[7224, 5074])).
% 14.20/9.47 tff(7226,plain,
% 14.20/9.47 ((~![VarCurr: $i] : (v111(VarCurr) <=> v26(VarCurr))) | (v111(constB25) <=> v26(constB25))),
% 14.20/9.47 inference(quant_inst,[status(thm)],[])).
% 14.20/9.47 tff(7227,plain,
% 14.20/9.47 (v111(constB25) <=> v26(constB25)),
% 14.20/9.47 inference(unit_resolution,[status(thm)],[7226, 5086])).
% 14.20/9.47 tff(7228,plain,
% 14.20/9.47 ((~![VarCurr: $i] : (~v26(VarCurr))) | (~v26(constB25))),
% 14.20/9.47 inference(quant_inst,[status(thm)],[])).
% 14.20/9.47 tff(7229,plain,
% 14.20/9.47 (~v26(constB25)),
% 14.20/9.47 inference(unit_resolution,[status(thm)],[7228, 5098])).
% 14.20/9.47 tff(7230,plain,
% 14.20/9.47 ((~(v111(constB25) <=> v26(constB25))) | (~v111(constB25)) | v26(constB25)),
% 14.20/9.47 inference(tautology,[status(thm)],[])).
% 14.20/9.47 tff(7231,plain,
% 14.20/9.47 ((~(v111(constB25) <=> v26(constB25))) | (~v111(constB25))),
% 14.20/9.47 inference(unit_resolution,[status(thm)],[7230, 7229])).
% 14.20/9.47 tff(7232,plain,
% 14.20/9.47 (~v111(constB25)),
% 14.20/9.47 inference(unit_resolution,[status(thm)],[7231, 7227])).
% 14.20/9.47 tff(7233,plain,
% 14.20/9.47 ((~((~v126(constB25)) <=> v111(constB25))) | v126(constB25) | v111(constB25)),
% 14.20/9.47 inference(tautology,[status(thm)],[])).
% 14.20/9.47 tff(7234,plain,
% 14.20/9.47 ((~((~v126(constB25)) <=> v111(constB25))) | v126(constB25)),
% 14.20/9.47 inference(unit_resolution,[status(thm)],[7233, 7232])).
% 14.20/9.47 tff(7235,plain,
% 14.20/9.47 (v126(constB25)),
% 14.20/9.47 inference(unit_resolution,[status(thm)],[7234, 7225])).
% 14.20/9.47 tff(7236,plain,
% 14.20/9.47 ((~((~v113(constB25)) | (~v126(constB25)))) | (~v113(constB25)) | (~v126(constB25))),
% 14.20/9.47 inference(tautology,[status(thm)],[])).
% 14.20/9.47 tff(7237,plain,
% 14.20/9.47 ((~((~v113(constB25)) | (~v126(constB25)))) | (~v113(constB25))),
% 14.20/9.47 inference(unit_resolution,[status(thm)],[7236, 7235])).
% 14.20/9.47 tff(7238,plain,
% 14.20/9.47 (~((~v113(constB25)) | (~v126(constB25)))),
% 14.20/9.47 inference(unit_resolution,[status(thm)],[7237, 7223])).
% 14.20/9.47 tff(7239,plain,
% 14.20/9.47 ((~(v112(constB25) <=> (~((~v113(constB25)) | (~v126(constB25)))))) | v112(constB25) | ((~v113(constB25)) | (~v126(constB25)))),
% 14.20/9.47 inference(tautology,[status(thm)],[])).
% 14.20/9.47 tff(7240,plain,
% 14.20/9.47 (v112(constB25)),
% 14.20/9.47 inference(unit_resolution,[status(thm)],[7239, 7238, 3842])).
% 14.20/9.47 tff(7241,plain,
% 14.20/9.47 ((v111(constB25) | v112(constB25)) | (~v112(constB25))),
% 14.20/9.47 inference(tautology,[status(thm)],[])).
% 14.20/9.47 tff(7242,plain,
% 14.20/9.47 (v111(constB25) | v112(constB25)),
% 14.20/9.47 inference(unit_resolution,[status(thm)],[7241, 7240])).
% 14.20/9.47 tff(7243,plain,
% 14.20/9.47 ((~(v108(constB25) <=> (v111(constB25) | v112(constB25)))) | v108(constB25) | (~(v111(constB25) | v112(constB25)))),
% 14.20/9.47 inference(tautology,[status(thm)],[])).
% 14.20/9.47 tff(7244,plain,
% 14.20/9.47 (v108(constB25)),
% 14.20/9.47 inference(unit_resolution,[status(thm)],[7243, 7242, 3840])).
% 14.20/9.47 tff(7245,plain,
% 14.20/9.47 ((~(v110(constB26) <=> v108(constB25))) | v110(constB26) | (~v108(constB25))),
% 14.20/9.47 inference(tautology,[status(thm)],[])).
% 14.20/9.47 tff(7246,plain,
% 14.20/9.47 (v110(constB26)),
% 14.20/9.47 inference(unit_resolution,[status(thm)],[7245, 7244, 3838])).
% 14.20/9.47 tff(7247,plain,
% 14.20/9.47 ((~((~v101(constB26)) | (~v110(constB26)))) | (~v101(constB26)) | (~v110(constB26))),
% 14.20/9.47 inference(tautology,[status(thm)],[])).
% 14.20/9.47 tff(7248,plain,
% 14.20/9.47 (~((~v101(constB26)) | (~v110(constB26)))),
% 14.20/9.47 inference(unit_resolution,[status(thm)],[7247, 7246, 3834])).
% 14.20/9.47 tff(7249,plain,
% 14.20/9.47 ((~(v100(constB26) <=> (~((~v101(constB26)) | (~v110(constB26)))))) | v100(constB26) | ((~v101(constB26)) | (~v110(constB26)))),
% 14.20/9.47 inference(tautology,[status(thm)],[])).
% 14.20/9.47 tff(7250,plain,
% 14.20/9.47 (v100(constB26)),
% 14.20/9.47 inference(unit_resolution,[status(thm)],[7249, 7248, 3803])).
% 14.20/9.47 tff(7251,plain,
% 14.20/9.47 (((~![VarNext: $i] : ((~v100(VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v129(VarNext, B))))) | ((~v100(constB26)) | ![B: $i] : ((~less_3(B)) | (v90(constB26, B) <=> v129(constB26, B))))) <=> ((~![VarNext: $i] : ((~v100(VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v129(VarNext, B))))) | (~v100(constB26)) | ![B: $i] : ((~less_3(B)) | (v90(constB26, B) <=> v129(constB26, B))))),
% 14.20/9.47 inference(rewrite,[status(thm)],[])).
% 14.20/9.47 tff(7252,plain,
% 14.20/9.47 ((~![VarNext: $i] : ((~v100(VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v129(VarNext, B))))) | ((~v100(constB26)) | ![B: $i] : ((~less_3(B)) | (v90(constB26, B) <=> v129(constB26, B))))),
% 14.20/9.47 inference(quant_inst,[status(thm)],[])).
% 14.20/9.47 tff(7253,plain,
% 14.20/9.47 ((~![VarNext: $i] : ((~v100(VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v129(VarNext, B))))) | (~v100(constB26)) | ![B: $i] : ((~less_3(B)) | (v90(constB26, B) <=> v129(constB26, B)))),
% 14.20/9.47 inference(modus_ponens,[status(thm)],[7252, 7251])).
% 14.20/9.47 tff(7254,plain,
% 14.20/9.47 ((~v100(constB26)) | ![B: $i] : ((~less_3(B)) | (v90(constB26, B) <=> v129(constB26, B)))),
% 14.20/9.47 inference(unit_resolution,[status(thm)],[7253, 5134])).
% 14.20/9.47 tff(7255,plain,
% 14.20/9.47 (![B: $i] : ((~less_3(B)) | (v90(constB26, B) <=> v129(constB26, B)))),
% 14.20/9.47 inference(unit_resolution,[status(thm)],[7254, 7250])).
% 14.20/9.47 tff(7256,plain,
% 14.20/9.47 (((~![B: $i] : ((~less_3(B)) | (v90(constB26, B) <=> v129(constB26, B)))) | ((~less_3(bitIndex2)) | (v90(constB26, bitIndex2) <=> v129(constB26, bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v90(constB26, B) <=> v129(constB26, B)))) | (~less_3(bitIndex2)) | (v90(constB26, bitIndex2) <=> v129(constB26, bitIndex2)))),
% 14.20/9.47 inference(rewrite,[status(thm)],[])).
% 14.20/9.47 tff(7257,plain,
% 14.20/9.47 ((~![B: $i] : ((~less_3(B)) | (v90(constB26, B) <=> v129(constB26, B)))) | ((~less_3(bitIndex2)) | (v90(constB26, bitIndex2) <=> v129(constB26, bitIndex2)))),
% 14.20/9.47 inference(quant_inst,[status(thm)],[])).
% 14.20/9.47 tff(7258,plain,
% 14.20/9.47 ((~![B: $i] : ((~less_3(B)) | (v90(constB26, B) <=> v129(constB26, B)))) | (~less_3(bitIndex2)) | (v90(constB26, bitIndex2) <=> v129(constB26, bitIndex2))),
% 14.20/9.47 inference(modus_ponens,[status(thm)],[7257, 7256])).
% 14.20/9.47 tff(7259,plain,
% 14.20/9.47 (v90(constB26, bitIndex2) <=> v129(constB26, bitIndex2)),
% 14.20/9.47 inference(unit_resolution,[status(thm)],[7258, 413, 7255])).
% 14.20/9.47 tff(7260,plain,
% 14.20/9.47 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v129(VarNext, B) <=> v127(VarCurr, B))))) | ((~nextState(constB25, constB26)) | ![B: $i] : ((~less_3(B)) | (v129(constB26, B) <=> v127(constB25, B))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v129(VarNext, B) <=> v127(VarCurr, B))))) | (~nextState(constB25, constB26)) | ![B: $i] : ((~less_3(B)) | (v129(constB26, B) <=> v127(constB25, B))))),
% 14.20/9.47 inference(rewrite,[status(thm)],[])).
% 14.20/9.47 tff(7261,plain,
% 14.20/9.47 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v129(VarNext, B) <=> v127(VarCurr, B))))) | ((~nextState(constB25, constB26)) | ![B: $i] : ((~less_3(B)) | (v129(constB26, B) <=> v127(constB25, B))))),
% 14.20/9.47 inference(quant_inst,[status(thm)],[])).
% 14.20/9.47 tff(7262,plain,
% 14.20/9.47 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v129(VarNext, B) <=> v127(VarCurr, B))))) | (~nextState(constB25, constB26)) | ![B: $i] : ((~less_3(B)) | (v129(constB26, B) <=> v127(constB25, B)))),
% 14.20/9.47 inference(modus_ponens,[status(thm)],[7261, 7260])).
% 14.20/9.47 tff(7263,plain,
% 14.20/9.47 (![B: $i] : ((~less_3(B)) | (v129(constB26, B) <=> v127(constB25, B)))),
% 14.20/9.47 inference(unit_resolution,[status(thm)],[7262, 3799, 5156])).
% 14.20/9.47 tff(7264,plain,
% 14.20/9.47 (((~![B: $i] : ((~less_3(B)) | (v129(constB26, B) <=> v127(constB25, B)))) | ((~less_3(bitIndex2)) | (v129(constB26, bitIndex2) <=> v127(constB25, bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v129(constB26, B) <=> v127(constB25, B)))) | (~less_3(bitIndex2)) | (v129(constB26, bitIndex2) <=> v127(constB25, bitIndex2)))),
% 14.20/9.47 inference(rewrite,[status(thm)],[])).
% 14.20/9.47 tff(7265,plain,
% 14.20/9.47 ((~![B: $i] : ((~less_3(B)) | (v129(constB26, B) <=> v127(constB25, B)))) | ((~less_3(bitIndex2)) | (v129(constB26, bitIndex2) <=> v127(constB25, bitIndex2)))),
% 14.20/9.47 inference(quant_inst,[status(thm)],[])).
% 14.20/9.47 tff(7266,plain,
% 14.20/9.47 ((~![B: $i] : ((~less_3(B)) | (v129(constB26, B) <=> v127(constB25, B)))) | (~less_3(bitIndex2)) | (v129(constB26, bitIndex2) <=> v127(constB25, bitIndex2))),
% 14.20/9.47 inference(modus_ponens,[status(thm)],[7265, 7264])).
% 14.20/9.47 tff(7267,plain,
% 14.20/9.47 (v129(constB26, bitIndex2) <=> v127(constB25, bitIndex2)),
% 14.20/9.47 inference(unit_resolution,[status(thm)],[7266, 413, 7263])).
% 14.20/9.47 tff(7268,plain,
% 14.20/9.47 (((~![VarCurr: $i] : (v111(VarCurr) | ![B: $i] : ((~less_3(B)) | (v127(VarCurr, B) <=> v130(VarCurr, B))))) | (v111(constB25) | ![B: $i] : ((~less_3(B)) | (v127(constB25, B) <=> v130(constB25, B))))) <=> ((~![VarCurr: $i] : (v111(VarCurr) | ![B: $i] : ((~less_3(B)) | (v127(VarCurr, B) <=> v130(VarCurr, B))))) | v111(constB25) | ![B: $i] : ((~less_3(B)) | (v127(constB25, B) <=> v130(constB25, B))))),
% 14.20/9.47 inference(rewrite,[status(thm)],[])).
% 14.20/9.47 tff(7269,plain,
% 14.20/9.47 ((~![VarCurr: $i] : (v111(VarCurr) | ![B: $i] : ((~less_3(B)) | (v127(VarCurr, B) <=> v130(VarCurr, B))))) | (v111(constB25) | ![B: $i] : ((~less_3(B)) | (v127(constB25, B) <=> v130(constB25, B))))),
% 14.20/9.47 inference(quant_inst,[status(thm)],[])).
% 14.20/9.47 tff(7270,plain,
% 14.20/9.47 ((~![VarCurr: $i] : (v111(VarCurr) | ![B: $i] : ((~less_3(B)) | (v127(VarCurr, B) <=> v130(VarCurr, B))))) | v111(constB25) | ![B: $i] : ((~less_3(B)) | (v127(constB25, B) <=> v130(constB25, B)))),
% 14.20/9.47 inference(modus_ponens,[status(thm)],[7269, 7268])).
% 14.20/9.47 tff(7271,plain,
% 14.20/9.47 (![B: $i] : ((~less_3(B)) | (v127(constB25, B) <=> v130(constB25, B)))),
% 14.20/9.47 inference(unit_resolution,[status(thm)],[7270, 5177, 7232])).
% 14.20/9.47 tff(7272,plain,
% 14.20/9.47 (((~![B: $i] : ((~less_3(B)) | (v127(constB25, B) <=> v130(constB25, B)))) | ((~less_3(bitIndex2)) | (v127(constB25, bitIndex2) <=> v130(constB25, bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v127(constB25, B) <=> v130(constB25, B)))) | (~less_3(bitIndex2)) | (v127(constB25, bitIndex2) <=> v130(constB25, bitIndex2)))),
% 14.20/9.47 inference(rewrite,[status(thm)],[])).
% 14.20/9.47 tff(7273,plain,
% 14.20/9.47 ((~![B: $i] : ((~less_3(B)) | (v127(constB25, B) <=> v130(constB25, B)))) | ((~less_3(bitIndex2)) | (v127(constB25, bitIndex2) <=> v130(constB25, bitIndex2)))),
% 14.20/9.47 inference(quant_inst,[status(thm)],[])).
% 14.20/9.47 tff(7274,plain,
% 14.20/9.47 ((~![B: $i] : ((~less_3(B)) | (v127(constB25, B) <=> v130(constB25, B)))) | (~less_3(bitIndex2)) | (v127(constB25, bitIndex2) <=> v130(constB25, bitIndex2))),
% 14.20/9.47 inference(modus_ponens,[status(thm)],[7273, 7272])).
% 14.20/9.47 tff(7275,plain,
% 14.20/9.47 (v127(constB25, bitIndex2) <=> v130(constB25, bitIndex2)),
% 14.20/9.47 inference(unit_resolution,[status(thm)],[7274, 413, 7271])).
% 14.20/9.47 tff(7276,plain,
% 14.20/9.47 ((~![VarCurr: $i] : (v119(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))))) | (v119(constB25) <=> (~(v90(constB25, bitIndex0) | v90(constB25, bitIndex1) | v90(constB25, bitIndex2))))),
% 14.20/9.47 inference(quant_inst,[status(thm)],[])).
% 14.20/9.47 tff(7277,plain,
% 14.20/9.47 (v119(constB25) <=> (~(v90(constB25, bitIndex0) | v90(constB25, bitIndex1) | v90(constB25, bitIndex2)))),
% 14.20/9.47 inference(unit_resolution,[status(thm)],[7276, 4971])).
% 14.20/9.47 tff(7278,plain,
% 14.20/9.47 ((v90(constB25, bitIndex0) | v90(constB25, bitIndex1) | v90(constB25, bitIndex2)) | (~v90(constB25, bitIndex2))),
% 14.20/9.47 inference(tautology,[status(thm)],[])).
% 14.20/9.47 tff(7279,plain,
% 14.20/9.47 (v90(constB25, bitIndex0) | v90(constB25, bitIndex1) | v90(constB25, bitIndex2)),
% 14.20/9.47 inference(unit_resolution,[status(thm)],[7278, 7153])).
% 14.20/9.47 tff(7280,plain,
% 14.20/9.47 ((~(v119(constB25) <=> (~(v90(constB25, bitIndex0) | v90(constB25, bitIndex1) | v90(constB25, bitIndex2))))) | (~v119(constB25)) | (~(v90(constB25, bitIndex0) | v90(constB25, bitIndex1) | v90(constB25, bitIndex2)))),
% 14.20/9.47 inference(tautology,[status(thm)],[])).
% 14.20/9.47 tff(7281,plain,
% 14.20/9.47 (~v119(constB25)),
% 14.20/9.47 inference(unit_resolution,[status(thm)],[7280, 7279, 7277])).
% 14.20/9.47 tff(7282,plain,
% 14.20/9.47 (((~![VarCurr: $i] : (v124(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex2)))))) | (v124(constB25) <=> (~((~v90(constB25, bitIndex2)) | v90(constB25, bitIndex1) | (~v90(constB25, bitIndex0)))))) <=> ((~![VarCurr: $i] : (v124(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex2)))))) | (v124(constB25) <=> (~((~v90(constB25, bitIndex2)) | v90(constB25, bitIndex1) | (~v90(constB25, bitIndex0))))))),
% 14.20/9.47 inference(rewrite,[status(thm)],[])).
% 14.20/9.47 tff(7283,plain,
% 14.20/9.47 ((v124(constB25) <=> (~(v90(constB25, bitIndex1) | (~v90(constB25, bitIndex0)) | (~v90(constB25, bitIndex2))))) <=> (v124(constB25) <=> (~((~v90(constB25, bitIndex2)) | v90(constB25, bitIndex1) | (~v90(constB25, bitIndex0)))))),
% 14.20/9.47 inference(rewrite,[status(thm)],[])).
% 14.20/9.47 tff(7284,plain,
% 14.20/9.47 (((~![VarCurr: $i] : (v124(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex2)))))) | (v124(constB25) <=> (~(v90(constB25, bitIndex1) | (~v90(constB25, bitIndex0)) | (~v90(constB25, bitIndex2)))))) <=> ((~![VarCurr: $i] : (v124(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex2)))))) | (v124(constB25) <=> (~((~v90(constB25, bitIndex2)) | v90(constB25, bitIndex1) | (~v90(constB25, bitIndex0))))))),
% 14.20/9.47 inference(monotonicity,[status(thm)],[7283])).
% 14.20/9.47 tff(7285,plain,
% 14.20/9.47 (((~![VarCurr: $i] : (v124(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex2)))))) | (v124(constB25) <=> (~(v90(constB25, bitIndex1) | (~v90(constB25, bitIndex0)) | (~v90(constB25, bitIndex2)))))) <=> ((~![VarCurr: $i] : (v124(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex2)))))) | (v124(constB25) <=> (~((~v90(constB25, bitIndex2)) | v90(constB25, bitIndex1) | (~v90(constB25, bitIndex0))))))),
% 14.20/9.47 inference(transitivity,[status(thm)],[7284, 7282])).
% 14.20/9.47 tff(7286,plain,
% 14.20/9.47 ((~![VarCurr: $i] : (v124(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex2)))))) | (v124(constB25) <=> (~(v90(constB25, bitIndex1) | (~v90(constB25, bitIndex0)) | (~v90(constB25, bitIndex2)))))),
% 14.20/9.47 inference(quant_inst,[status(thm)],[])).
% 14.20/9.47 tff(7287,plain,
% 14.20/9.47 ((~![VarCurr: $i] : (v124(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex2)))))) | (v124(constB25) <=> (~((~v90(constB25, bitIndex2)) | v90(constB25, bitIndex1) | (~v90(constB25, bitIndex0)))))),
% 14.20/9.47 inference(modus_ponens,[status(thm)],[7286, 7285])).
% 14.20/9.47 tff(7288,plain,
% 14.20/9.47 (v124(constB25) <=> (~((~v90(constB25, bitIndex2)) | v90(constB25, bitIndex1) | (~v90(constB25, bitIndex0))))),
% 14.20/9.47 inference(unit_resolution,[status(thm)],[7287, 5539])).
% 14.20/9.47 tff(7289,plain,
% 14.20/9.47 (((~v90(constB25, bitIndex2)) | v90(constB25, bitIndex1) | (~v90(constB25, bitIndex0))) | (~v90(constB25, bitIndex1))),
% 14.20/9.47 inference(tautology,[status(thm)],[])).
% 14.20/9.47 tff(7290,plain,
% 14.20/9.47 ((~v90(constB25, bitIndex2)) | v90(constB25, bitIndex1) | (~v90(constB25, bitIndex0))),
% 14.20/9.47 inference(unit_resolution,[status(thm)],[7289, 7215])).
% 14.20/9.47 tff(7291,plain,
% 14.20/9.47 ((~(v124(constB25) <=> (~((~v90(constB25, bitIndex2)) | v90(constB25, bitIndex1) | (~v90(constB25, bitIndex0)))))) | (~v124(constB25)) | (~((~v90(constB25, bitIndex2)) | v90(constB25, bitIndex1) | (~v90(constB25, bitIndex0))))),
% 14.20/9.47 inference(tautology,[status(thm)],[])).
% 14.20/9.47 tff(7292,plain,
% 14.20/9.47 (~v124(constB25)),
% 14.20/9.47 inference(unit_resolution,[status(thm)],[7291, 7290, 7288])).
% 14.20/9.47 tff(7293,plain,
% 14.20/9.47 (((~![VarCurr: $i] : (v123(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)))))) | (v123(constB25) <=> (~((~v90(constB25, bitIndex2)) | v90(constB25, bitIndex1) | v90(constB25, bitIndex0))))) <=> ((~![VarCurr: $i] : (v123(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)))))) | (v123(constB25) <=> (~((~v90(constB25, bitIndex2)) | v90(constB25, bitIndex1) | v90(constB25, bitIndex0)))))),
% 14.20/9.47 inference(rewrite,[status(thm)],[])).
% 14.20/9.47 tff(7294,plain,
% 14.20/9.47 ((v123(constB25) <=> (~(v90(constB25, bitIndex0) | v90(constB25, bitIndex1) | (~v90(constB25, bitIndex2))))) <=> (v123(constB25) <=> (~((~v90(constB25, bitIndex2)) | v90(constB25, bitIndex1) | v90(constB25, bitIndex0))))),
% 14.20/9.47 inference(rewrite,[status(thm)],[])).
% 14.20/9.47 tff(7295,plain,
% 14.20/9.47 (((~![VarCurr: $i] : (v123(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)))))) | (v123(constB25) <=> (~(v90(constB25, bitIndex0) | v90(constB25, bitIndex1) | (~v90(constB25, bitIndex2)))))) <=> ((~![VarCurr: $i] : (v123(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)))))) | (v123(constB25) <=> (~((~v90(constB25, bitIndex2)) | v90(constB25, bitIndex1) | v90(constB25, bitIndex0)))))),
% 14.20/9.47 inference(monotonicity,[status(thm)],[7294])).
% 14.20/9.47 tff(7296,plain,
% 14.20/9.47 (((~![VarCurr: $i] : (v123(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)))))) | (v123(constB25) <=> (~(v90(constB25, bitIndex0) | v90(constB25, bitIndex1) | (~v90(constB25, bitIndex2)))))) <=> ((~![VarCurr: $i] : (v123(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)))))) | (v123(constB25) <=> (~((~v90(constB25, bitIndex2)) | v90(constB25, bitIndex1) | v90(constB25, bitIndex0)))))),
% 14.20/9.47 inference(transitivity,[status(thm)],[7295, 7293])).
% 14.20/9.47 tff(7297,plain,
% 14.20/9.47 ((~![VarCurr: $i] : (v123(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)))))) | (v123(constB25) <=> (~(v90(constB25, bitIndex0) | v90(constB25, bitIndex1) | (~v90(constB25, bitIndex2)))))),
% 14.20/9.47 inference(quant_inst,[status(thm)],[])).
% 14.20/9.47 tff(7298,plain,
% 14.20/9.47 ((~![VarCurr: $i] : (v123(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)))))) | (v123(constB25) <=> (~((~v90(constB25, bitIndex2)) | v90(constB25, bitIndex1) | v90(constB25, bitIndex0))))),
% 14.20/9.47 inference(modus_ponens,[status(thm)],[7297, 7296])).
% 14.20/9.47 tff(7299,plain,
% 14.20/9.47 (v123(constB25) <=> (~((~v90(constB25, bitIndex2)) | v90(constB25, bitIndex1) | v90(constB25, bitIndex0)))),
% 14.20/9.47 inference(unit_resolution,[status(thm)],[7298, 621])).
% 14.20/9.47 tff(7300,plain,
% 14.20/9.47 (((~v90(constB25, bitIndex2)) | v90(constB25, bitIndex1) | v90(constB25, bitIndex0)) | (~v90(constB25, bitIndex1))),
% 14.20/9.47 inference(tautology,[status(thm)],[])).
% 14.20/9.47 tff(7301,plain,
% 14.20/9.47 ((~v90(constB25, bitIndex2)) | v90(constB25, bitIndex1) | v90(constB25, bitIndex0)),
% 14.20/9.47 inference(unit_resolution,[status(thm)],[7300, 7215])).
% 14.20/9.47 tff(7302,plain,
% 14.20/9.47 ((~(v123(constB25) <=> (~((~v90(constB25, bitIndex2)) | v90(constB25, bitIndex1) | v90(constB25, bitIndex0))))) | (~v123(constB25)) | (~((~v90(constB25, bitIndex2)) | v90(constB25, bitIndex1) | v90(constB25, bitIndex0)))),
% 14.20/9.47 inference(tautology,[status(thm)],[])).
% 14.20/9.48 tff(7303,plain,
% 14.20/9.48 (~v123(constB25)),
% 14.20/9.48 inference(unit_resolution,[status(thm)],[7302, 7301, 7299])).
% 14.20/9.48 tff(7304,plain,
% 14.20/9.48 (((~![VarCurr: $i] : (v122(VarCurr) <=> (~(v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)))))) | (v122(constB25) <=> (~(v90(constB25, bitIndex2) | (~v90(constB25, bitIndex1)) | (~v90(constB25, bitIndex0)))))) <=> ((~![VarCurr: $i] : (v122(VarCurr) <=> (~(v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)))))) | (v122(constB25) <=> (~(v90(constB25, bitIndex2) | (~v90(constB25, bitIndex1)) | (~v90(constB25, bitIndex0))))))),
% 14.20/9.48 inference(rewrite,[status(thm)],[])).
% 14.20/9.48 tff(7305,plain,
% 14.20/9.48 ((v122(constB25) <=> (~(v90(constB25, bitIndex2) | (~v90(constB25, bitIndex0)) | (~v90(constB25, bitIndex1))))) <=> (v122(constB25) <=> (~(v90(constB25, bitIndex2) | (~v90(constB25, bitIndex1)) | (~v90(constB25, bitIndex0)))))),
% 14.20/9.48 inference(rewrite,[status(thm)],[])).
% 14.20/9.48 tff(7306,plain,
% 14.20/9.48 (((~![VarCurr: $i] : (v122(VarCurr) <=> (~(v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)))))) | (v122(constB25) <=> (~(v90(constB25, bitIndex2) | (~v90(constB25, bitIndex0)) | (~v90(constB25, bitIndex1)))))) <=> ((~![VarCurr: $i] : (v122(VarCurr) <=> (~(v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)))))) | (v122(constB25) <=> (~(v90(constB25, bitIndex2) | (~v90(constB25, bitIndex1)) | (~v90(constB25, bitIndex0))))))),
% 14.20/9.48 inference(monotonicity,[status(thm)],[7305])).
% 14.20/9.48 tff(7307,plain,
% 14.20/9.48 (((~![VarCurr: $i] : (v122(VarCurr) <=> (~(v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)))))) | (v122(constB25) <=> (~(v90(constB25, bitIndex2) | (~v90(constB25, bitIndex0)) | (~v90(constB25, bitIndex1)))))) <=> ((~![VarCurr: $i] : (v122(VarCurr) <=> (~(v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)))))) | (v122(constB25) <=> (~(v90(constB25, bitIndex2) | (~v90(constB25, bitIndex1)) | (~v90(constB25, bitIndex0))))))),
% 14.20/9.48 inference(transitivity,[status(thm)],[7306, 7304])).
% 14.20/9.48 tff(7308,plain,
% 14.20/9.48 ((~![VarCurr: $i] : (v122(VarCurr) <=> (~(v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)))))) | (v122(constB25) <=> (~(v90(constB25, bitIndex2) | (~v90(constB25, bitIndex0)) | (~v90(constB25, bitIndex1)))))),
% 14.20/9.48 inference(quant_inst,[status(thm)],[])).
% 14.20/9.48 tff(7309,plain,
% 14.20/9.48 ((~![VarCurr: $i] : (v122(VarCurr) <=> (~(v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)))))) | (v122(constB25) <=> (~(v90(constB25, bitIndex2) | (~v90(constB25, bitIndex1)) | (~v90(constB25, bitIndex0)))))),
% 14.20/9.48 inference(modus_ponens,[status(thm)],[7308, 7307])).
% 14.20/9.48 tff(7310,plain,
% 14.20/9.48 (v122(constB25) <=> (~(v90(constB25, bitIndex2) | (~v90(constB25, bitIndex1)) | (~v90(constB25, bitIndex0))))),
% 14.20/9.48 inference(unit_resolution,[status(thm)],[7309, 734])).
% 14.20/9.48 tff(7311,plain,
% 14.20/9.48 ((v90(constB25, bitIndex2) | (~v90(constB25, bitIndex1)) | (~v90(constB25, bitIndex0))) | (~v90(constB25, bitIndex2))),
% 14.20/9.48 inference(tautology,[status(thm)],[])).
% 14.20/9.48 tff(7312,plain,
% 14.20/9.48 (v90(constB25, bitIndex2) | (~v90(constB25, bitIndex1)) | (~v90(constB25, bitIndex0))),
% 14.20/9.48 inference(unit_resolution,[status(thm)],[7311, 7153])).
% 14.20/9.48 tff(7313,plain,
% 14.20/9.48 ((~(v122(constB25) <=> (~(v90(constB25, bitIndex2) | (~v90(constB25, bitIndex1)) | (~v90(constB25, bitIndex0)))))) | (~v122(constB25)) | (~(v90(constB25, bitIndex2) | (~v90(constB25, bitIndex1)) | (~v90(constB25, bitIndex0))))),
% 14.20/9.48 inference(tautology,[status(thm)],[])).
% 14.20/9.48 tff(7314,plain,
% 14.20/9.48 (~v122(constB25)),
% 14.20/9.48 inference(unit_resolution,[status(thm)],[7313, 7312, 7310])).
% 14.20/9.48 tff(7315,plain,
% 14.20/9.48 (((~![VarCurr: $i] : (v121(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex1)))))) | (v121(constB25) <=> (~(v90(constB25, bitIndex2) | (~v90(constB25, bitIndex1)) | v90(constB25, bitIndex0))))) <=> ((~![VarCurr: $i] : (v121(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex1)))))) | (v121(constB25) <=> (~(v90(constB25, bitIndex2) | (~v90(constB25, bitIndex1)) | v90(constB25, bitIndex0)))))),
% 14.20/9.48 inference(rewrite,[status(thm)],[])).
% 14.20/9.48 tff(7316,plain,
% 14.20/9.48 ((v121(constB25) <=> (~(v90(constB25, bitIndex0) | v90(constB25, bitIndex2) | (~v90(constB25, bitIndex1))))) <=> (v121(constB25) <=> (~(v90(constB25, bitIndex2) | (~v90(constB25, bitIndex1)) | v90(constB25, bitIndex0))))),
% 14.20/9.48 inference(rewrite,[status(thm)],[])).
% 14.20/9.48 tff(7317,plain,
% 14.20/9.48 (((~![VarCurr: $i] : (v121(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex1)))))) | (v121(constB25) <=> (~(v90(constB25, bitIndex0) | v90(constB25, bitIndex2) | (~v90(constB25, bitIndex1)))))) <=> ((~![VarCurr: $i] : (v121(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex1)))))) | (v121(constB25) <=> (~(v90(constB25, bitIndex2) | (~v90(constB25, bitIndex1)) | v90(constB25, bitIndex0)))))),
% 14.20/9.48 inference(monotonicity,[status(thm)],[7316])).
% 14.20/9.48 tff(7318,plain,
% 14.20/9.48 (((~![VarCurr: $i] : (v121(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex1)))))) | (v121(constB25) <=> (~(v90(constB25, bitIndex0) | v90(constB25, bitIndex2) | (~v90(constB25, bitIndex1)))))) <=> ((~![VarCurr: $i] : (v121(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex1)))))) | (v121(constB25) <=> (~(v90(constB25, bitIndex2) | (~v90(constB25, bitIndex1)) | v90(constB25, bitIndex0)))))),
% 14.20/9.48 inference(transitivity,[status(thm)],[7317, 7315])).
% 14.20/9.48 tff(7319,plain,
% 14.20/9.48 ((~![VarCurr: $i] : (v121(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex1)))))) | (v121(constB25) <=> (~(v90(constB25, bitIndex0) | v90(constB25, bitIndex2) | (~v90(constB25, bitIndex1)))))),
% 14.20/9.48 inference(quant_inst,[status(thm)],[])).
% 14.20/9.48 tff(7320,plain,
% 14.20/9.48 ((~![VarCurr: $i] : (v121(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex1)))))) | (v121(constB25) <=> (~(v90(constB25, bitIndex2) | (~v90(constB25, bitIndex1)) | v90(constB25, bitIndex0))))),
% 14.20/9.48 inference(modus_ponens,[status(thm)],[7319, 7318])).
% 14.20/9.48 tff(7321,plain,
% 14.20/9.48 (v121(constB25) <=> (~(v90(constB25, bitIndex2) | (~v90(constB25, bitIndex1)) | v90(constB25, bitIndex0)))),
% 14.20/9.48 inference(unit_resolution,[status(thm)],[7320, 849])).
% 14.20/9.48 tff(7322,plain,
% 14.20/9.48 ((v90(constB25, bitIndex2) | (~v90(constB25, bitIndex1)) | v90(constB25, bitIndex0)) | (~v90(constB25, bitIndex2))),
% 14.20/9.48 inference(tautology,[status(thm)],[])).
% 14.20/9.48 tff(7323,plain,
% 14.20/9.48 (v90(constB25, bitIndex2) | (~v90(constB25, bitIndex1)) | v90(constB25, bitIndex0)),
% 14.20/9.48 inference(unit_resolution,[status(thm)],[7322, 7153])).
% 14.20/9.48 tff(7324,plain,
% 14.20/9.48 ((~(v121(constB25) <=> (~(v90(constB25, bitIndex2) | (~v90(constB25, bitIndex1)) | v90(constB25, bitIndex0))))) | (~v121(constB25)) | (~(v90(constB25, bitIndex2) | (~v90(constB25, bitIndex1)) | v90(constB25, bitIndex0)))),
% 14.20/9.48 inference(tautology,[status(thm)],[])).
% 14.20/9.48 tff(7325,plain,
% 14.20/9.48 (~v121(constB25)),
% 14.20/9.48 inference(unit_resolution,[status(thm)],[7324, 7323, 7321])).
% 14.20/9.48 tff(7326,plain,
% 14.20/9.48 (((~![VarCurr: $i] : (v120(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)))))) | (v120(constB25) <=> (~(v90(constB25, bitIndex2) | v90(constB25, bitIndex1) | (~v90(constB25, bitIndex0)))))) <=> ((~![VarCurr: $i] : (v120(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)))))) | (v120(constB25) <=> (~(v90(constB25, bitIndex2) | v90(constB25, bitIndex1) | (~v90(constB25, bitIndex0))))))),
% 14.20/9.48 inference(rewrite,[status(thm)],[])).
% 14.20/9.48 tff(7327,plain,
% 14.20/9.48 ((v120(constB25) <=> (~(v90(constB25, bitIndex1) | v90(constB25, bitIndex2) | (~v90(constB25, bitIndex0))))) <=> (v120(constB25) <=> (~(v90(constB25, bitIndex2) | v90(constB25, bitIndex1) | (~v90(constB25, bitIndex0)))))),
% 14.20/9.48 inference(rewrite,[status(thm)],[])).
% 14.20/9.48 tff(7328,plain,
% 14.20/9.48 (((~![VarCurr: $i] : (v120(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)))))) | (v120(constB25) <=> (~(v90(constB25, bitIndex1) | v90(constB25, bitIndex2) | (~v90(constB25, bitIndex0)))))) <=> ((~![VarCurr: $i] : (v120(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)))))) | (v120(constB25) <=> (~(v90(constB25, bitIndex2) | v90(constB25, bitIndex1) | (~v90(constB25, bitIndex0))))))),
% 14.20/9.48 inference(monotonicity,[status(thm)],[7327])).
% 14.20/9.48 tff(7329,plain,
% 14.20/9.48 (((~![VarCurr: $i] : (v120(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)))))) | (v120(constB25) <=> (~(v90(constB25, bitIndex1) | v90(constB25, bitIndex2) | (~v90(constB25, bitIndex0)))))) <=> ((~![VarCurr: $i] : (v120(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)))))) | (v120(constB25) <=> (~(v90(constB25, bitIndex2) | v90(constB25, bitIndex1) | (~v90(constB25, bitIndex0))))))),
% 14.20/9.48 inference(transitivity,[status(thm)],[7328, 7326])).
% 14.20/9.48 tff(7330,plain,
% 14.20/9.48 ((~![VarCurr: $i] : (v120(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)))))) | (v120(constB25) <=> (~(v90(constB25, bitIndex1) | v90(constB25, bitIndex2) | (~v90(constB25, bitIndex0)))))),
% 14.20/9.48 inference(quant_inst,[status(thm)],[])).
% 14.20/9.48 tff(7331,plain,
% 14.20/9.48 ((~![VarCurr: $i] : (v120(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)))))) | (v120(constB25) <=> (~(v90(constB25, bitIndex2) | v90(constB25, bitIndex1) | (~v90(constB25, bitIndex0)))))),
% 14.20/9.48 inference(modus_ponens,[status(thm)],[7330, 7329])).
% 14.20/9.48 tff(7332,plain,
% 14.20/9.48 (v120(constB25) <=> (~(v90(constB25, bitIndex2) | v90(constB25, bitIndex1) | (~v90(constB25, bitIndex0))))),
% 14.20/9.48 inference(unit_resolution,[status(thm)],[7331, 966])).
% 14.20/9.48 tff(7333,plain,
% 14.20/9.48 ((v90(constB25, bitIndex2) | v90(constB25, bitIndex1) | (~v90(constB25, bitIndex0))) | (~v90(constB25, bitIndex2))),
% 14.20/9.48 inference(tautology,[status(thm)],[])).
% 14.20/9.48 tff(7334,plain,
% 14.20/9.48 (v90(constB25, bitIndex2) | v90(constB25, bitIndex1) | (~v90(constB25, bitIndex0))),
% 14.20/9.48 inference(unit_resolution,[status(thm)],[7333, 7153])).
% 14.20/9.48 tff(7335,plain,
% 14.20/9.48 ((~(v120(constB25) <=> (~(v90(constB25, bitIndex2) | v90(constB25, bitIndex1) | (~v90(constB25, bitIndex0)))))) | (~v120(constB25)) | (~(v90(constB25, bitIndex2) | v90(constB25, bitIndex1) | (~v90(constB25, bitIndex0))))),
% 14.20/9.48 inference(tautology,[status(thm)],[])).
% 14.20/9.48 tff(7336,plain,
% 14.20/9.48 (~v120(constB25)),
% 14.20/9.48 inference(unit_resolution,[status(thm)],[7335, 7334, 7332])).
% 14.20/9.48 tff(7337,plain,
% 14.20/9.48 (((~![VarCurr: $i] : (v124(VarCurr) | v123(VarCurr) | v122(VarCurr) | v121(VarCurr) | v120(VarCurr) | v119(VarCurr) | ![B: $i] : ((~less_3(B)) | (v130(VarCurr, B) <=> b001(B))))) | (v120(constB25) | v119(constB25) | v121(constB25) | v122(constB25) | v123(constB25) | v124(constB25) | ![B: $i] : ((~less_3(B)) | (v130(constB25, B) <=> b001(B))))) <=> ((~![VarCurr: $i] : (v124(VarCurr) | v123(VarCurr) | v122(VarCurr) | v121(VarCurr) | v120(VarCurr) | v119(VarCurr) | ![B: $i] : ((~less_3(B)) | (v130(VarCurr, B) <=> b001(B))))) | v120(constB25) | v119(constB25) | v121(constB25) | v122(constB25) | v123(constB25) | v124(constB25) | ![B: $i] : ((~less_3(B)) | (v130(constB25, B) <=> b001(B))))),
% 14.20/9.48 inference(rewrite,[status(thm)],[])).
% 14.20/9.48 tff(7338,plain,
% 14.20/9.48 ((v124(constB25) | v123(constB25) | v122(constB25) | v121(constB25) | v120(constB25) | v119(constB25) | ![B: $i] : ((~less_3(B)) | (v130(constB25, B) <=> b001(B)))) <=> (v120(constB25) | v119(constB25) | v121(constB25) | v122(constB25) | v123(constB25) | v124(constB25) | ![B: $i] : ((~less_3(B)) | (v130(constB25, B) <=> b001(B))))),
% 14.20/9.48 inference(rewrite,[status(thm)],[])).
% 14.20/9.48 tff(7339,plain,
% 14.20/9.48 (((~![VarCurr: $i] : (v124(VarCurr) | v123(VarCurr) | v122(VarCurr) | v121(VarCurr) | v120(VarCurr) | v119(VarCurr) | ![B: $i] : ((~less_3(B)) | (v130(VarCurr, B) <=> b001(B))))) | (v124(constB25) | v123(constB25) | v122(constB25) | v121(constB25) | v120(constB25) | v119(constB25) | ![B: $i] : ((~less_3(B)) | (v130(constB25, B) <=> b001(B))))) <=> ((~![VarCurr: $i] : (v124(VarCurr) | v123(VarCurr) | v122(VarCurr) | v121(VarCurr) | v120(VarCurr) | v119(VarCurr) | ![B: $i] : ((~less_3(B)) | (v130(VarCurr, B) <=> b001(B))))) | (v120(constB25) | v119(constB25) | v121(constB25) | v122(constB25) | v123(constB25) | v124(constB25) | ![B: $i] : ((~less_3(B)) | (v130(constB25, B) <=> b001(B)))))),
% 14.20/9.48 inference(monotonicity,[status(thm)],[7338])).
% 14.20/9.48 tff(7340,plain,
% 14.20/9.48 (((~![VarCurr: $i] : (v124(VarCurr) | v123(VarCurr) | v122(VarCurr) | v121(VarCurr) | v120(VarCurr) | v119(VarCurr) | ![B: $i] : ((~less_3(B)) | (v130(VarCurr, B) <=> b001(B))))) | (v124(constB25) | v123(constB25) | v122(constB25) | v121(constB25) | v120(constB25) | v119(constB25) | ![B: $i] : ((~less_3(B)) | (v130(constB25, B) <=> b001(B))))) <=> ((~![VarCurr: $i] : (v124(VarCurr) | v123(VarCurr) | v122(VarCurr) | v121(VarCurr) | v120(VarCurr) | v119(VarCurr) | ![B: $i] : ((~less_3(B)) | (v130(VarCurr, B) <=> b001(B))))) | v120(constB25) | v119(constB25) | v121(constB25) | v122(constB25) | v123(constB25) | v124(constB25) | ![B: $i] : ((~less_3(B)) | (v130(constB25, B) <=> b001(B))))),
% 14.20/9.48 inference(transitivity,[status(thm)],[7339, 7337])).
% 14.20/9.48 tff(7341,plain,
% 14.20/9.48 ((~![VarCurr: $i] : (v124(VarCurr) | v123(VarCurr) | v122(VarCurr) | v121(VarCurr) | v120(VarCurr) | v119(VarCurr) | ![B: $i] : ((~less_3(B)) | (v130(VarCurr, B) <=> b001(B))))) | (v124(constB25) | v123(constB25) | v122(constB25) | v121(constB25) | v120(constB25) | v119(constB25) | ![B: $i] : ((~less_3(B)) | (v130(constB25, B) <=> b001(B))))),
% 14.20/9.48 inference(quant_inst,[status(thm)],[])).
% 14.20/9.48 tff(7342,plain,
% 14.20/9.48 ((~![VarCurr: $i] : (v124(VarCurr) | v123(VarCurr) | v122(VarCurr) | v121(VarCurr) | v120(VarCurr) | v119(VarCurr) | ![B: $i] : ((~less_3(B)) | (v130(VarCurr, B) <=> b001(B))))) | v120(constB25) | v119(constB25) | v121(constB25) | v122(constB25) | v123(constB25) | v124(constB25) | ![B: $i] : ((~less_3(B)) | (v130(constB25, B) <=> b001(B)))),
% 14.20/9.48 inference(modus_ponens,[status(thm)],[7341, 7340])).
% 14.20/9.48 tff(7343,plain,
% 14.20/9.48 (v120(constB25) | v119(constB25) | v121(constB25) | v122(constB25) | v123(constB25) | v124(constB25) | ![B: $i] : ((~less_3(B)) | (v130(constB25, B) <=> b001(B)))),
% 14.20/9.48 inference(unit_resolution,[status(thm)],[7342, 5610])).
% 14.20/9.48 tff(7344,plain,
% 14.20/9.48 (![B: $i] : ((~less_3(B)) | (v130(constB25, B) <=> b001(B)))),
% 14.20/9.48 inference(unit_resolution,[status(thm)],[7343, 7336, 7325, 7314, 7303, 7292, 7281])).
% 14.20/9.48 tff(7345,plain,
% 14.20/9.48 (((~![B: $i] : ((~less_3(B)) | (v130(constB25, B) <=> b001(B)))) | ((~less_3(bitIndex2)) | (v130(constB25, bitIndex2) <=> b001(bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v130(constB25, B) <=> b001(B)))) | (~less_3(bitIndex2)) | (v130(constB25, bitIndex2) <=> b001(bitIndex2)))),
% 14.20/9.48 inference(rewrite,[status(thm)],[])).
% 14.20/9.48 tff(7346,plain,
% 14.20/9.48 ((~![B: $i] : ((~less_3(B)) | (v130(constB25, B) <=> b001(B)))) | ((~less_3(bitIndex2)) | (v130(constB25, bitIndex2) <=> b001(bitIndex2)))),
% 14.20/9.48 inference(quant_inst,[status(thm)],[])).
% 14.20/9.48 tff(7347,plain,
% 14.20/9.48 ((~![B: $i] : ((~less_3(B)) | (v130(constB25, B) <=> b001(B)))) | (~less_3(bitIndex2)) | (v130(constB25, bitIndex2) <=> b001(bitIndex2))),
% 14.20/9.48 inference(modus_ponens,[status(thm)],[7346, 7345])).
% 14.20/9.48 tff(7348,plain,
% 14.20/9.48 (v130(constB25, bitIndex2) <=> b001(bitIndex2)),
% 14.20/9.48 inference(unit_resolution,[status(thm)],[7347, 413, 7344])).
% 14.20/9.48 tff(7349,plain,
% 14.20/9.48 ((~(v130(constB25, bitIndex2) <=> b001(bitIndex2))) | (~v130(constB25, bitIndex2)) | b001(bitIndex2)),
% 14.20/9.48 inference(tautology,[status(thm)],[])).
% 14.20/9.48 tff(7350,plain,
% 14.20/9.48 ((~(v130(constB25, bitIndex2) <=> b001(bitIndex2))) | (~v130(constB25, bitIndex2))),
% 14.20/9.48 inference(unit_resolution,[status(thm)],[7349, 5625])).
% 14.20/9.48 tff(7351,plain,
% 14.20/9.48 (~v130(constB25, bitIndex2)),
% 14.20/9.48 inference(unit_resolution,[status(thm)],[7350, 7348])).
% 14.20/9.48 tff(7352,plain,
% 14.20/9.48 ((~(v127(constB25, bitIndex2) <=> v130(constB25, bitIndex2))) | (~v127(constB25, bitIndex2)) | v130(constB25, bitIndex2)),
% 14.20/9.48 inference(tautology,[status(thm)],[])).
% 14.20/9.48 tff(7353,plain,
% 14.20/9.48 (~v127(constB25, bitIndex2)),
% 14.20/9.48 inference(unit_resolution,[status(thm)],[7352, 7351, 7275])).
% 14.20/9.48 tff(7354,plain,
% 14.20/9.48 ((~(v129(constB26, bitIndex2) <=> v127(constB25, bitIndex2))) | (~v129(constB26, bitIndex2)) | v127(constB25, bitIndex2)),
% 14.20/9.48 inference(tautology,[status(thm)],[])).
% 14.20/9.48 tff(7355,plain,
% 14.20/9.48 (~v129(constB26, bitIndex2)),
% 14.20/9.48 inference(unit_resolution,[status(thm)],[7354, 7353, 7267])).
% 14.20/9.48 tff(7356,plain,
% 14.20/9.48 ((~(v90(constB26, bitIndex2) <=> v129(constB26, bitIndex2))) | (~v90(constB26, bitIndex2)) | v129(constB26, bitIndex2)),
% 14.20/9.48 inference(tautology,[status(thm)],[])).
% 14.20/9.48 tff(7357,plain,
% 14.20/9.48 (~v90(constB26, bitIndex2)),
% 14.20/9.48 inference(unit_resolution,[status(thm)],[7356, 7355, 7259])).
% 14.20/9.48 tff(7358,plain,
% 14.20/9.48 ((~(v90(constB27, bitIndex2) <=> v90(constB26, bitIndex2))) | (~v90(constB27, bitIndex2)) | v90(constB26, bitIndex2)),
% 14.20/9.48 inference(tautology,[status(thm)],[])).
% 14.20/9.48 tff(7359,plain,
% 14.20/9.48 (~v90(constB27, bitIndex2)),
% 14.20/9.48 inference(unit_resolution,[status(thm)],[7358, 7357, 3796])).
% 14.20/9.48 tff(7360,plain,
% 14.20/9.48 (((~![B: $i] : ((~less_3(B)) | (v90(constB27, B) <=> v90(constB26, B)))) | ((~less_3(bitIndex0)) | (v90(constB27, bitIndex0) <=> v90(constB26, bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v90(constB27, B) <=> v90(constB26, B)))) | (~less_3(bitIndex0)) | (v90(constB27, bitIndex0) <=> v90(constB26, bitIndex0)))),
% 14.20/9.48 inference(rewrite,[status(thm)],[])).
% 14.20/9.48 tff(7361,plain,
% 14.20/9.48 ((~![B: $i] : ((~less_3(B)) | (v90(constB27, B) <=> v90(constB26, B)))) | ((~less_3(bitIndex0)) | (v90(constB27, bitIndex0) <=> v90(constB26, bitIndex0)))),
% 14.20/9.48 inference(quant_inst,[status(thm)],[])).
% 14.20/9.48 tff(7362,plain,
% 14.20/9.48 ((~![B: $i] : ((~less_3(B)) | (v90(constB27, B) <=> v90(constB26, B)))) | (~less_3(bitIndex0)) | (v90(constB27, bitIndex0) <=> v90(constB26, bitIndex0))),
% 14.20/9.48 inference(modus_ponens,[status(thm)],[7361, 7360])).
% 14.20/9.48 tff(7363,plain,
% 14.20/9.48 (v90(constB27, bitIndex0) <=> v90(constB26, bitIndex0)),
% 14.20/9.48 inference(unit_resolution,[status(thm)],[7362, 5004, 3792])).
% 14.20/9.48 tff(7364,plain,
% 14.20/9.48 (((~![B: $i] : ((~less_3(B)) | (v90(constB26, B) <=> v129(constB26, B)))) | ((~less_3(bitIndex0)) | (v90(constB26, bitIndex0) <=> v129(constB26, bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v90(constB26, B) <=> v129(constB26, B)))) | (~less_3(bitIndex0)) | (v90(constB26, bitIndex0) <=> v129(constB26, bitIndex0)))),
% 14.20/9.48 inference(rewrite,[status(thm)],[])).
% 14.20/9.48 tff(7365,plain,
% 14.20/9.48 ((~![B: $i] : ((~less_3(B)) | (v90(constB26, B) <=> v129(constB26, B)))) | ((~less_3(bitIndex0)) | (v90(constB26, bitIndex0) <=> v129(constB26, bitIndex0)))),
% 14.20/9.48 inference(quant_inst,[status(thm)],[])).
% 14.20/9.48 tff(7366,plain,
% 14.20/9.48 ((~![B: $i] : ((~less_3(B)) | (v90(constB26, B) <=> v129(constB26, B)))) | (~less_3(bitIndex0)) | (v90(constB26, bitIndex0) <=> v129(constB26, bitIndex0))),
% 14.20/9.48 inference(modus_ponens,[status(thm)],[7365, 7364])).
% 14.20/9.48 tff(7367,plain,
% 14.20/9.48 (v90(constB26, bitIndex0) <=> v129(constB26, bitIndex0)),
% 14.20/9.48 inference(unit_resolution,[status(thm)],[7366, 5004, 7255])).
% 14.20/9.48 tff(7368,plain,
% 14.20/9.48 (((~![B: $i] : ((~less_3(B)) | (v129(constB26, B) <=> v127(constB25, B)))) | ((~less_3(bitIndex0)) | (v129(constB26, bitIndex0) <=> v127(constB25, bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v129(constB26, B) <=> v127(constB25, B)))) | (~less_3(bitIndex0)) | (v129(constB26, bitIndex0) <=> v127(constB25, bitIndex0)))),
% 14.20/9.48 inference(rewrite,[status(thm)],[])).
% 14.20/9.48 tff(7369,plain,
% 14.20/9.48 ((~![B: $i] : ((~less_3(B)) | (v129(constB26, B) <=> v127(constB25, B)))) | ((~less_3(bitIndex0)) | (v129(constB26, bitIndex0) <=> v127(constB25, bitIndex0)))),
% 14.20/9.48 inference(quant_inst,[status(thm)],[])).
% 14.20/9.48 tff(7370,plain,
% 14.20/9.48 ((~![B: $i] : ((~less_3(B)) | (v129(constB26, B) <=> v127(constB25, B)))) | (~less_3(bitIndex0)) | (v129(constB26, bitIndex0) <=> v127(constB25, bitIndex0))),
% 14.20/9.48 inference(modus_ponens,[status(thm)],[7369, 7368])).
% 14.20/9.48 tff(7371,plain,
% 14.20/9.48 (v129(constB26, bitIndex0) <=> v127(constB25, bitIndex0)),
% 14.20/9.48 inference(unit_resolution,[status(thm)],[7370, 5004, 7263])).
% 14.20/9.48 tff(7372,plain,
% 14.20/9.48 (((~![B: $i] : ((~less_3(B)) | (v127(constB25, B) <=> v130(constB25, B)))) | ((~less_3(bitIndex0)) | (v127(constB25, bitIndex0) <=> v130(constB25, bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v127(constB25, B) <=> v130(constB25, B)))) | (~less_3(bitIndex0)) | (v127(constB25, bitIndex0) <=> v130(constB25, bitIndex0)))),
% 14.20/9.48 inference(rewrite,[status(thm)],[])).
% 14.20/9.48 tff(7373,plain,
% 14.20/9.48 ((~![B: $i] : ((~less_3(B)) | (v127(constB25, B) <=> v130(constB25, B)))) | ((~less_3(bitIndex0)) | (v127(constB25, bitIndex0) <=> v130(constB25, bitIndex0)))),
% 14.20/9.48 inference(quant_inst,[status(thm)],[])).
% 14.20/9.48 tff(7374,plain,
% 14.20/9.48 ((~![B: $i] : ((~less_3(B)) | (v127(constB25, B) <=> v130(constB25, B)))) | (~less_3(bitIndex0)) | (v127(constB25, bitIndex0) <=> v130(constB25, bitIndex0))),
% 14.20/9.48 inference(modus_ponens,[status(thm)],[7373, 7372])).
% 14.20/9.48 tff(7375,plain,
% 14.20/9.48 (v127(constB25, bitIndex0) <=> v130(constB25, bitIndex0)),
% 14.20/9.48 inference(unit_resolution,[status(thm)],[7374, 5004, 7271])).
% 14.20/9.48 tff(7376,plain,
% 14.20/9.48 (((~![B: $i] : ((~less_3(B)) | (v130(constB25, B) <=> b001(B)))) | ((~less_3(bitIndex0)) | (v130(constB25, bitIndex0) <=> b001(bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v130(constB25, B) <=> b001(B)))) | (~less_3(bitIndex0)) | (v130(constB25, bitIndex0) <=> b001(bitIndex0)))),
% 14.20/9.48 inference(rewrite,[status(thm)],[])).
% 14.20/9.48 tff(7377,plain,
% 14.20/9.48 ((~![B: $i] : ((~less_3(B)) | (v130(constB25, B) <=> b001(B)))) | ((~less_3(bitIndex0)) | (v130(constB25, bitIndex0) <=> b001(bitIndex0)))),
% 14.20/9.48 inference(quant_inst,[status(thm)],[])).
% 14.20/9.48 tff(7378,plain,
% 14.20/9.48 ((~![B: $i] : ((~less_3(B)) | (v130(constB25, B) <=> b001(B)))) | (~less_3(bitIndex0)) | (v130(constB25, bitIndex0) <=> b001(bitIndex0))),
% 14.20/9.48 inference(modus_ponens,[status(thm)],[7377, 7376])).
% 14.20/9.48 tff(7379,plain,
% 14.20/9.48 (v130(constB25, bitIndex0) <=> b001(bitIndex0)),
% 14.20/9.48 inference(unit_resolution,[status(thm)],[7378, 5004, 7344])).
% 14.20/9.48 tff(7380,plain,
% 14.20/9.48 ((~(v130(constB25, bitIndex0) <=> b001(bitIndex0))) | v130(constB25, bitIndex0) | (~b001(bitIndex0))),
% 14.20/9.48 inference(tautology,[status(thm)],[])).
% 14.20/9.48 tff(7381,plain,
% 14.20/9.48 ((~(v130(constB25, bitIndex0) <=> b001(bitIndex0))) | v130(constB25, bitIndex0)),
% 14.20/9.48 inference(unit_resolution,[status(thm)],[7380, 5659])).
% 14.20/9.48 tff(7382,plain,
% 14.20/9.48 (v130(constB25, bitIndex0)),
% 14.20/9.48 inference(unit_resolution,[status(thm)],[7381, 7379])).
% 14.20/9.48 tff(7383,plain,
% 14.20/9.48 ((~(v127(constB25, bitIndex0) <=> v130(constB25, bitIndex0))) | v127(constB25, bitIndex0) | (~v130(constB25, bitIndex0))),
% 14.20/9.48 inference(tautology,[status(thm)],[])).
% 14.20/9.48 tff(7384,plain,
% 14.20/9.48 (v127(constB25, bitIndex0)),
% 14.20/9.48 inference(unit_resolution,[status(thm)],[7383, 7382, 7375])).
% 14.20/9.48 tff(7385,plain,
% 14.20/9.48 ((~(v129(constB26, bitIndex0) <=> v127(constB25, bitIndex0))) | v129(constB26, bitIndex0) | (~v127(constB25, bitIndex0))),
% 14.20/9.48 inference(tautology,[status(thm)],[])).
% 14.20/9.48 tff(7386,plain,
% 14.20/9.48 (v129(constB26, bitIndex0)),
% 14.20/9.48 inference(unit_resolution,[status(thm)],[7385, 7384, 7371])).
% 14.20/9.48 tff(7387,plain,
% 14.20/9.48 ((~(v90(constB26, bitIndex0) <=> v129(constB26, bitIndex0))) | v90(constB26, bitIndex0) | (~v129(constB26, bitIndex0))),
% 14.20/9.48 inference(tautology,[status(thm)],[])).
% 14.20/9.48 tff(7388,plain,
% 14.20/9.48 (v90(constB26, bitIndex0)),
% 14.20/9.48 inference(unit_resolution,[status(thm)],[7387, 7386, 7367])).
% 14.20/9.48 tff(7389,plain,
% 14.20/9.48 ((~(v90(constB27, bitIndex0) <=> v90(constB26, bitIndex0))) | v90(constB27, bitIndex0) | (~v90(constB26, bitIndex0))),
% 14.20/9.48 inference(tautology,[status(thm)],[])).
% 14.20/9.48 tff(7390,plain,
% 14.20/9.48 (v90(constB27, bitIndex0)),
% 14.20/9.48 inference(unit_resolution,[status(thm)],[7389, 7388, 7363])).
% 14.20/9.48 tff(7391,plain,
% 14.20/9.48 (((~![B: $i] : ((~less_3(B)) | (v90(constB27, B) <=> v90(constB26, B)))) | ((~less_3(bitIndex1)) | (v90(constB27, bitIndex1) <=> v90(constB26, bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v90(constB27, B) <=> v90(constB26, B)))) | (~less_3(bitIndex1)) | (v90(constB27, bitIndex1) <=> v90(constB26, bitIndex1)))),
% 14.20/9.48 inference(rewrite,[status(thm)],[])).
% 14.20/9.48 tff(7392,plain,
% 14.20/9.48 ((~![B: $i] : ((~less_3(B)) | (v90(constB27, B) <=> v90(constB26, B)))) | ((~less_3(bitIndex1)) | (v90(constB27, bitIndex1) <=> v90(constB26, bitIndex1)))),
% 14.20/9.48 inference(quant_inst,[status(thm)],[])).
% 14.20/9.48 tff(7393,plain,
% 14.20/9.48 ((~![B: $i] : ((~less_3(B)) | (v90(constB27, B) <=> v90(constB26, B)))) | (~less_3(bitIndex1)) | (v90(constB27, bitIndex1) <=> v90(constB26, bitIndex1))),
% 14.20/9.48 inference(modus_ponens,[status(thm)],[7392, 7391])).
% 14.20/9.48 tff(7394,plain,
% 14.20/9.48 (v90(constB27, bitIndex1) <=> v90(constB26, bitIndex1)),
% 14.20/9.48 inference(unit_resolution,[status(thm)],[7393, 5017, 3792])).
% 14.20/9.49 tff(7395,plain,
% 14.20/9.49 (((~![B: $i] : ((~less_3(B)) | (v90(constB26, B) <=> v129(constB26, B)))) | ((~less_3(bitIndex1)) | (v90(constB26, bitIndex1) <=> v129(constB26, bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v90(constB26, B) <=> v129(constB26, B)))) | (~less_3(bitIndex1)) | (v90(constB26, bitIndex1) <=> v129(constB26, bitIndex1)))),
% 14.20/9.49 inference(rewrite,[status(thm)],[])).
% 14.20/9.49 tff(7396,plain,
% 14.20/9.49 ((~![B: $i] : ((~less_3(B)) | (v90(constB26, B) <=> v129(constB26, B)))) | ((~less_3(bitIndex1)) | (v90(constB26, bitIndex1) <=> v129(constB26, bitIndex1)))),
% 14.20/9.49 inference(quant_inst,[status(thm)],[])).
% 14.20/9.49 tff(7397,plain,
% 14.20/9.49 ((~![B: $i] : ((~less_3(B)) | (v90(constB26, B) <=> v129(constB26, B)))) | (~less_3(bitIndex1)) | (v90(constB26, bitIndex1) <=> v129(constB26, bitIndex1))),
% 14.20/9.49 inference(modus_ponens,[status(thm)],[7396, 7395])).
% 14.20/9.49 tff(7398,plain,
% 14.20/9.49 (v90(constB26, bitIndex1) <=> v129(constB26, bitIndex1)),
% 14.20/9.49 inference(unit_resolution,[status(thm)],[7397, 5017, 7255])).
% 14.20/9.49 tff(7399,plain,
% 14.20/9.49 (((~![B: $i] : ((~less_3(B)) | (v129(constB26, B) <=> v127(constB25, B)))) | ((~less_3(bitIndex1)) | (v129(constB26, bitIndex1) <=> v127(constB25, bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v129(constB26, B) <=> v127(constB25, B)))) | (~less_3(bitIndex1)) | (v129(constB26, bitIndex1) <=> v127(constB25, bitIndex1)))),
% 14.20/9.49 inference(rewrite,[status(thm)],[])).
% 14.20/9.49 tff(7400,plain,
% 14.20/9.49 ((~![B: $i] : ((~less_3(B)) | (v129(constB26, B) <=> v127(constB25, B)))) | ((~less_3(bitIndex1)) | (v129(constB26, bitIndex1) <=> v127(constB25, bitIndex1)))),
% 14.20/9.49 inference(quant_inst,[status(thm)],[])).
% 14.20/9.49 tff(7401,plain,
% 14.20/9.49 ((~![B: $i] : ((~less_3(B)) | (v129(constB26, B) <=> v127(constB25, B)))) | (~less_3(bitIndex1)) | (v129(constB26, bitIndex1) <=> v127(constB25, bitIndex1))),
% 14.20/9.49 inference(modus_ponens,[status(thm)],[7400, 7399])).
% 14.20/9.49 tff(7402,plain,
% 14.20/9.49 (v129(constB26, bitIndex1) <=> v127(constB25, bitIndex1)),
% 14.20/9.49 inference(unit_resolution,[status(thm)],[7401, 5017, 7263])).
% 14.20/9.49 tff(7403,plain,
% 14.20/9.49 (((~![B: $i] : ((~less_3(B)) | (v127(constB25, B) <=> v130(constB25, B)))) | ((~less_3(bitIndex1)) | (v127(constB25, bitIndex1) <=> v130(constB25, bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v127(constB25, B) <=> v130(constB25, B)))) | (~less_3(bitIndex1)) | (v127(constB25, bitIndex1) <=> v130(constB25, bitIndex1)))),
% 14.20/9.49 inference(rewrite,[status(thm)],[])).
% 14.20/9.49 tff(7404,plain,
% 14.20/9.49 ((~![B: $i] : ((~less_3(B)) | (v127(constB25, B) <=> v130(constB25, B)))) | ((~less_3(bitIndex1)) | (v127(constB25, bitIndex1) <=> v130(constB25, bitIndex1)))),
% 14.20/9.49 inference(quant_inst,[status(thm)],[])).
% 14.20/9.49 tff(7405,plain,
% 14.20/9.49 ((~![B: $i] : ((~less_3(B)) | (v127(constB25, B) <=> v130(constB25, B)))) | (~less_3(bitIndex1)) | (v127(constB25, bitIndex1) <=> v130(constB25, bitIndex1))),
% 14.20/9.49 inference(modus_ponens,[status(thm)],[7404, 7403])).
% 14.20/9.49 tff(7406,plain,
% 14.20/9.49 (v127(constB25, bitIndex1) <=> v130(constB25, bitIndex1)),
% 14.20/9.49 inference(unit_resolution,[status(thm)],[7405, 5017, 7271])).
% 14.20/9.49 tff(7407,plain,
% 14.20/9.49 (((~![B: $i] : ((~less_3(B)) | (v130(constB25, B) <=> b001(B)))) | ((~less_3(bitIndex1)) | (v130(constB25, bitIndex1) <=> b001(bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v130(constB25, B) <=> b001(B)))) | (~less_3(bitIndex1)) | (v130(constB25, bitIndex1) <=> b001(bitIndex1)))),
% 14.20/9.49 inference(rewrite,[status(thm)],[])).
% 14.20/9.49 tff(7408,plain,
% 14.20/9.49 ((~![B: $i] : ((~less_3(B)) | (v130(constB25, B) <=> b001(B)))) | ((~less_3(bitIndex1)) | (v130(constB25, bitIndex1) <=> b001(bitIndex1)))),
% 14.20/9.49 inference(quant_inst,[status(thm)],[])).
% 14.20/9.49 tff(7409,plain,
% 14.20/9.49 ((~![B: $i] : ((~less_3(B)) | (v130(constB25, B) <=> b001(B)))) | (~less_3(bitIndex1)) | (v130(constB25, bitIndex1) <=> b001(bitIndex1))),
% 14.20/9.49 inference(modus_ponens,[status(thm)],[7408, 7407])).
% 14.20/9.49 tff(7410,plain,
% 14.20/9.49 (v130(constB25, bitIndex1) <=> b001(bitIndex1)),
% 14.20/9.49 inference(unit_resolution,[status(thm)],[7409, 5017, 7344])).
% 14.20/9.49 tff(7411,plain,
% 14.20/9.49 ((~(v130(constB25, bitIndex1) <=> b001(bitIndex1))) | (~v130(constB25, bitIndex1)) | b001(bitIndex1)),
% 14.20/9.49 inference(tautology,[status(thm)],[])).
% 14.20/9.49 tff(7412,plain,
% 14.20/9.49 ((~(v130(constB25, bitIndex1) <=> b001(bitIndex1))) | (~v130(constB25, bitIndex1))),
% 14.20/9.49 inference(unit_resolution,[status(thm)],[7411, 5693])).
% 14.20/9.49 tff(7413,plain,
% 14.20/9.49 (~v130(constB25, bitIndex1)),
% 14.20/9.49 inference(unit_resolution,[status(thm)],[7412, 7410])).
% 14.20/9.49 tff(7414,plain,
% 14.20/9.49 ((~(v127(constB25, bitIndex1) <=> v130(constB25, bitIndex1))) | (~v127(constB25, bitIndex1)) | v130(constB25, bitIndex1)),
% 14.20/9.49 inference(tautology,[status(thm)],[])).
% 14.20/9.49 tff(7415,plain,
% 14.20/9.49 (~v127(constB25, bitIndex1)),
% 14.20/9.49 inference(unit_resolution,[status(thm)],[7414, 7413, 7406])).
% 14.20/9.49 tff(7416,plain,
% 14.20/9.49 ((~(v129(constB26, bitIndex1) <=> v127(constB25, bitIndex1))) | (~v129(constB26, bitIndex1)) | v127(constB25, bitIndex1)),
% 14.20/9.49 inference(tautology,[status(thm)],[])).
% 14.20/9.49 tff(7417,plain,
% 14.20/9.49 (~v129(constB26, bitIndex1)),
% 14.20/9.49 inference(unit_resolution,[status(thm)],[7416, 7415, 7402])).
% 14.20/9.49 tff(7418,plain,
% 14.20/9.49 ((~(v90(constB26, bitIndex1) <=> v129(constB26, bitIndex1))) | (~v90(constB26, bitIndex1)) | v129(constB26, bitIndex1)),
% 14.20/9.49 inference(tautology,[status(thm)],[])).
% 14.20/9.49 tff(7419,plain,
% 14.20/9.49 (~v90(constB26, bitIndex1)),
% 14.20/9.49 inference(unit_resolution,[status(thm)],[7418, 7417, 7398])).
% 14.20/9.49 tff(7420,plain,
% 14.20/9.49 ((~(v90(constB27, bitIndex1) <=> v90(constB26, bitIndex1))) | (~v90(constB27, bitIndex1)) | v90(constB26, bitIndex1)),
% 14.20/9.49 inference(tautology,[status(thm)],[])).
% 14.20/9.49 tff(7421,plain,
% 14.20/9.49 (~v90(constB27, bitIndex1)),
% 14.20/9.49 inference(unit_resolution,[status(thm)],[7420, 7419, 7394])).
% 14.20/9.49 tff(7422,plain,
% 14.20/9.49 ((~(v90(constB27, bitIndex2) | v90(constB27, bitIndex1) | (~v90(constB27, bitIndex0)))) | v90(constB27, bitIndex2) | v90(constB27, bitIndex1) | (~v90(constB27, bitIndex0))),
% 14.20/9.49 inference(tautology,[status(thm)],[])).
% 14.20/9.49 tff(7423,plain,
% 14.20/9.49 (~(v90(constB27, bitIndex2) | v90(constB27, bitIndex1) | (~v90(constB27, bitIndex0)))),
% 14.20/9.49 inference(unit_resolution,[status(thm)],[7422, 7421, 7390, 7359])).
% 14.20/9.49 tff(7424,plain,
% 14.20/9.49 ((~(v120(constB27) <=> (~(v90(constB27, bitIndex2) | v90(constB27, bitIndex1) | (~v90(constB27, bitIndex0)))))) | v120(constB27) | (v90(constB27, bitIndex2) | v90(constB27, bitIndex1) | (~v90(constB27, bitIndex0)))),
% 14.20/9.49 inference(tautology,[status(thm)],[])).
% 14.20/9.49 tff(7425,plain,
% 14.20/9.49 (v120(constB27)),
% 14.20/9.49 inference(unit_resolution,[status(thm)],[7424, 7423, 3764])).
% 14.20/9.49 tff(7426,plain,
% 14.20/9.49 ((v119(constB27) | v120(constB27)) | (~v120(constB27))),
% 14.20/9.49 inference(tautology,[status(thm)],[])).
% 14.20/9.49 tff(7427,plain,
% 14.20/9.49 (v119(constB27) | v120(constB27)),
% 14.20/9.49 inference(unit_resolution,[status(thm)],[7426, 7425])).
% 14.20/9.49 tff(7428,plain,
% 14.20/9.49 ((~(v118(constB27) <=> (v119(constB27) | v120(constB27)))) | v118(constB27) | (~(v119(constB27) | v120(constB27)))),
% 14.20/9.49 inference(tautology,[status(thm)],[])).
% 14.20/9.49 tff(7429,plain,
% 14.20/9.49 (v118(constB27)),
% 14.20/9.49 inference(unit_resolution,[status(thm)],[7428, 7427, 3757])).
% 14.20/9.49 tff(7430,plain,
% 14.20/9.49 ((v118(constB27) | v121(constB27)) | (~v118(constB27))),
% 14.20/9.49 inference(tautology,[status(thm)],[])).
% 14.20/9.49 tff(7431,plain,
% 14.20/9.49 (v118(constB27) | v121(constB27)),
% 14.20/9.49 inference(unit_resolution,[status(thm)],[7430, 7429])).
% 14.20/9.49 tff(7432,plain,
% 14.20/9.49 ((~(v117(constB27) <=> (v118(constB27) | v121(constB27)))) | v117(constB27) | (~(v118(constB27) | v121(constB27)))),
% 14.20/9.49 inference(tautology,[status(thm)],[])).
% 14.20/9.49 tff(7433,plain,
% 14.20/9.49 (v117(constB27)),
% 14.20/9.49 inference(unit_resolution,[status(thm)],[7432, 7431, 3755])).
% 14.20/9.49 tff(7434,plain,
% 14.20/9.49 ((v117(constB27) | v122(constB27)) | (~v117(constB27))),
% 14.20/9.49 inference(tautology,[status(thm)],[])).
% 14.20/9.49 tff(7435,plain,
% 14.20/9.49 (v117(constB27) | v122(constB27)),
% 14.20/9.49 inference(unit_resolution,[status(thm)],[7434, 7433])).
% 14.20/9.49 tff(7436,plain,
% 14.20/9.49 ((~(v116(constB27) <=> (v117(constB27) | v122(constB27)))) | v116(constB27) | (~(v117(constB27) | v122(constB27)))),
% 14.20/9.49 inference(tautology,[status(thm)],[])).
% 14.20/9.49 tff(7437,plain,
% 14.20/9.49 (v116(constB27)),
% 14.20/9.49 inference(unit_resolution,[status(thm)],[7436, 7435, 3753])).
% 14.20/9.49 tff(7438,plain,
% 14.20/9.49 ((v116(constB27) | v123(constB27)) | (~v116(constB27))),
% 14.20/9.49 inference(tautology,[status(thm)],[])).
% 14.20/9.49 tff(7439,plain,
% 14.20/9.49 (v116(constB27) | v123(constB27)),
% 14.20/9.49 inference(unit_resolution,[status(thm)],[7438, 7437])).
% 14.20/9.49 tff(7440,plain,
% 14.20/9.49 ((~(v115(constB27) <=> (v116(constB27) | v123(constB27)))) | v115(constB27) | (~(v116(constB27) | v123(constB27)))),
% 14.20/9.49 inference(tautology,[status(thm)],[])).
% 14.20/9.49 tff(7441,plain,
% 14.20/9.49 (v115(constB27)),
% 14.20/9.49 inference(unit_resolution,[status(thm)],[7440, 7439, 3751])).
% 14.20/9.49 tff(7442,plain,
% 14.20/9.49 ((v115(constB27) | v124(constB27)) | (~v115(constB27))),
% 14.20/9.49 inference(tautology,[status(thm)],[])).
% 14.20/9.49 tff(7443,plain,
% 14.20/9.49 (v115(constB27) | v124(constB27)),
% 14.20/9.49 inference(unit_resolution,[status(thm)],[7442, 7441])).
% 14.20/9.49 tff(7444,plain,
% 14.20/9.49 ((~(v114(constB27) <=> (v115(constB27) | v124(constB27)))) | v114(constB27) | (~(v115(constB27) | v124(constB27)))),
% 14.20/9.49 inference(tautology,[status(thm)],[])).
% 14.20/9.49 tff(7445,plain,
% 14.20/9.49 (v114(constB27)),
% 14.20/9.49 inference(unit_resolution,[status(thm)],[7444, 7443, 3749])).
% 14.20/9.49 tff(7446,plain,
% 14.20/9.49 ((v114(constB27) | v125(constB27)) | (~v114(constB27))),
% 14.20/9.49 inference(tautology,[status(thm)],[])).
% 14.20/9.49 tff(7447,plain,
% 14.20/9.49 (v114(constB27) | v125(constB27)),
% 14.20/9.49 inference(unit_resolution,[status(thm)],[7446, 7445])).
% 14.20/9.49 tff(7448,plain,
% 14.20/9.49 ((~(v113(constB27) <=> (v114(constB27) | v125(constB27)))) | v113(constB27) | (~(v114(constB27) | v125(constB27)))),
% 14.20/9.49 inference(tautology,[status(thm)],[])).
% 14.20/9.49 tff(7449,plain,
% 14.20/9.49 (v113(constB27)),
% 14.20/9.49 inference(unit_resolution,[status(thm)],[7448, 7447, 3747])).
% 14.20/9.49 tff(7450,plain,
% 14.20/9.49 ((~![VarCurr: $i] : ((~v126(VarCurr)) <=> v111(VarCurr))) | ((~v126(constB27)) <=> v111(constB27))),
% 14.20/9.49 inference(quant_inst,[status(thm)],[])).
% 14.20/9.49 tff(7451,plain,
% 14.20/9.49 ((~v126(constB27)) <=> v111(constB27)),
% 14.20/9.49 inference(unit_resolution,[status(thm)],[7450, 5074])).
% 14.20/9.49 tff(7452,plain,
% 14.20/9.49 ((~![VarCurr: $i] : (v111(VarCurr) <=> v26(VarCurr))) | (v111(constB27) <=> v26(constB27))),
% 14.20/9.49 inference(quant_inst,[status(thm)],[])).
% 14.20/9.49 tff(7453,plain,
% 14.20/9.49 (v111(constB27) <=> v26(constB27)),
% 14.20/9.49 inference(unit_resolution,[status(thm)],[7452, 5086])).
% 14.20/9.49 tff(7454,plain,
% 14.20/9.49 ((~![VarCurr: $i] : (~v26(VarCurr))) | (~v26(constB27))),
% 14.20/9.49 inference(quant_inst,[status(thm)],[])).
% 14.20/9.49 tff(7455,plain,
% 14.20/9.49 (~v26(constB27)),
% 14.20/9.49 inference(unit_resolution,[status(thm)],[7454, 5098])).
% 14.20/9.49 tff(7456,plain,
% 14.20/9.49 ((~(v111(constB27) <=> v26(constB27))) | (~v111(constB27)) | v26(constB27)),
% 14.20/9.49 inference(tautology,[status(thm)],[])).
% 14.20/9.49 tff(7457,plain,
% 14.20/9.49 ((~(v111(constB27) <=> v26(constB27))) | (~v111(constB27))),
% 14.20/9.49 inference(unit_resolution,[status(thm)],[7456, 7455])).
% 14.20/9.49 tff(7458,plain,
% 14.20/9.49 (~v111(constB27)),
% 14.20/9.49 inference(unit_resolution,[status(thm)],[7457, 7453])).
% 14.20/9.49 tff(7459,plain,
% 14.20/9.49 ((~((~v126(constB27)) <=> v111(constB27))) | v126(constB27) | v111(constB27)),
% 14.20/9.49 inference(tautology,[status(thm)],[])).
% 14.20/9.49 tff(7460,plain,
% 14.20/9.49 ((~((~v126(constB27)) <=> v111(constB27))) | v126(constB27)),
% 14.20/9.49 inference(unit_resolution,[status(thm)],[7459, 7458])).
% 14.20/9.49 tff(7461,plain,
% 14.20/9.49 (v126(constB27)),
% 14.20/9.49 inference(unit_resolution,[status(thm)],[7460, 7451])).
% 14.20/9.49 tff(7462,plain,
% 14.20/9.49 ((~((~v113(constB27)) | (~v126(constB27)))) | (~v113(constB27)) | (~v126(constB27))),
% 14.20/9.49 inference(tautology,[status(thm)],[])).
% 14.20/9.49 tff(7463,plain,
% 14.20/9.49 ((~((~v113(constB27)) | (~v126(constB27)))) | (~v113(constB27))),
% 14.20/9.49 inference(unit_resolution,[status(thm)],[7462, 7461])).
% 14.20/9.49 tff(7464,plain,
% 14.20/9.49 (~((~v113(constB27)) | (~v126(constB27)))),
% 14.20/9.49 inference(unit_resolution,[status(thm)],[7463, 7449])).
% 14.20/9.49 tff(7465,plain,
% 14.20/9.49 ((~(v112(constB27) <=> (~((~v113(constB27)) | (~v126(constB27)))))) | v112(constB27) | ((~v113(constB27)) | (~v126(constB27)))),
% 14.20/9.49 inference(tautology,[status(thm)],[])).
% 14.20/9.49 tff(7466,plain,
% 14.20/9.49 (v112(constB27)),
% 14.20/9.49 inference(unit_resolution,[status(thm)],[7465, 7464, 3745])).
% 14.20/9.49 tff(7467,plain,
% 14.20/9.49 ((v111(constB27) | v112(constB27)) | (~v112(constB27))),
% 14.20/9.49 inference(tautology,[status(thm)],[])).
% 14.20/9.49 tff(7468,plain,
% 14.20/9.49 (v111(constB27) | v112(constB27)),
% 14.20/9.49 inference(unit_resolution,[status(thm)],[7467, 7466])).
% 14.20/9.49 tff(7469,plain,
% 14.20/9.49 ((~(v108(constB27) <=> (v111(constB27) | v112(constB27)))) | v108(constB27) | (~(v111(constB27) | v112(constB27)))),
% 14.20/9.49 inference(tautology,[status(thm)],[])).
% 14.20/9.49 tff(7470,plain,
% 14.20/9.49 (v108(constB27)),
% 14.20/9.49 inference(unit_resolution,[status(thm)],[7469, 7468, 3743])).
% 14.20/9.49 tff(7471,plain,
% 14.20/9.49 ((~(v110(constB28) <=> v108(constB27))) | v110(constB28) | (~v108(constB27))),
% 14.20/9.49 inference(tautology,[status(thm)],[])).
% 14.20/9.49 tff(7472,plain,
% 14.20/9.49 (v110(constB28)),
% 14.20/9.49 inference(unit_resolution,[status(thm)],[7471, 7470, 3741])).
% 14.20/9.49 tff(7473,plain,
% 14.20/9.49 ((~((~v101(constB28)) | (~v110(constB28)))) | (~v101(constB28)) | (~v110(constB28))),
% 14.20/9.49 inference(tautology,[status(thm)],[])).
% 14.20/9.49 tff(7474,plain,
% 14.20/9.49 (~((~v101(constB28)) | (~v110(constB28)))),
% 14.20/9.49 inference(unit_resolution,[status(thm)],[7473, 7472, 3737])).
% 14.20/9.49 tff(7475,plain,
% 14.20/9.49 ((~(v100(constB28) <=> (~((~v101(constB28)) | (~v110(constB28)))))) | v100(constB28) | ((~v101(constB28)) | (~v110(constB28)))),
% 14.20/9.49 inference(tautology,[status(thm)],[])).
% 14.20/9.49 tff(7476,plain,
% 14.20/9.49 (v100(constB28)),
% 14.20/9.49 inference(unit_resolution,[status(thm)],[7475, 7474, 3706])).
% 14.20/9.49 tff(7477,plain,
% 14.20/9.49 (((~![VarNext: $i] : ((~v100(VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v129(VarNext, B))))) | ((~v100(constB28)) | ![B: $i] : ((~less_3(B)) | (v90(constB28, B) <=> v129(constB28, B))))) <=> ((~![VarNext: $i] : ((~v100(VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v129(VarNext, B))))) | (~v100(constB28)) | ![B: $i] : ((~less_3(B)) | (v90(constB28, B) <=> v129(constB28, B))))),
% 14.20/9.49 inference(rewrite,[status(thm)],[])).
% 14.20/9.49 tff(7478,plain,
% 14.20/9.49 ((~![VarNext: $i] : ((~v100(VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v129(VarNext, B))))) | ((~v100(constB28)) | ![B: $i] : ((~less_3(B)) | (v90(constB28, B) <=> v129(constB28, B))))),
% 14.20/9.49 inference(quant_inst,[status(thm)],[])).
% 14.20/9.49 tff(7479,plain,
% 14.20/9.49 ((~![VarNext: $i] : ((~v100(VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v129(VarNext, B))))) | (~v100(constB28)) | ![B: $i] : ((~less_3(B)) | (v90(constB28, B) <=> v129(constB28, B)))),
% 14.20/9.49 inference(modus_ponens,[status(thm)],[7478, 7477])).
% 14.20/9.49 tff(7480,plain,
% 14.20/9.49 ((~v100(constB28)) | ![B: $i] : ((~less_3(B)) | (v90(constB28, B) <=> v129(constB28, B)))),
% 14.20/9.49 inference(unit_resolution,[status(thm)],[7479, 5134])).
% 14.20/9.49 tff(7481,plain,
% 14.20/9.49 (![B: $i] : ((~less_3(B)) | (v90(constB28, B) <=> v129(constB28, B)))),
% 14.20/9.49 inference(unit_resolution,[status(thm)],[7480, 7476])).
% 14.20/9.49 tff(7482,plain,
% 14.20/9.49 (((~![B: $i] : ((~less_3(B)) | (v90(constB28, B) <=> v129(constB28, B)))) | ((~less_3(bitIndex2)) | (v90(constB28, bitIndex2) <=> v129(constB28, bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v90(constB28, B) <=> v129(constB28, B)))) | (~less_3(bitIndex2)) | (v90(constB28, bitIndex2) <=> v129(constB28, bitIndex2)))),
% 14.20/9.49 inference(rewrite,[status(thm)],[])).
% 14.20/9.49 tff(7483,plain,
% 14.20/9.49 ((~![B: $i] : ((~less_3(B)) | (v90(constB28, B) <=> v129(constB28, B)))) | ((~less_3(bitIndex2)) | (v90(constB28, bitIndex2) <=> v129(constB28, bitIndex2)))),
% 14.20/9.49 inference(quant_inst,[status(thm)],[])).
% 14.20/9.49 tff(7484,plain,
% 14.20/9.49 ((~![B: $i] : ((~less_3(B)) | (v90(constB28, B) <=> v129(constB28, B)))) | (~less_3(bitIndex2)) | (v90(constB28, bitIndex2) <=> v129(constB28, bitIndex2))),
% 14.20/9.49 inference(modus_ponens,[status(thm)],[7483, 7482])).
% 14.20/9.49 tff(7485,plain,
% 14.20/9.49 (v90(constB28, bitIndex2) <=> v129(constB28, bitIndex2)),
% 14.20/9.49 inference(unit_resolution,[status(thm)],[7484, 413, 7481])).
% 14.20/9.49 tff(7486,plain,
% 14.20/9.49 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v129(VarNext, B) <=> v127(VarCurr, B))))) | ((~nextState(constB27, constB28)) | ![B: $i] : ((~less_3(B)) | (v129(constB28, B) <=> v127(constB27, B))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v129(VarNext, B) <=> v127(VarCurr, B))))) | (~nextState(constB27, constB28)) | ![B: $i] : ((~less_3(B)) | (v129(constB28, B) <=> v127(constB27, B))))),
% 14.20/9.49 inference(rewrite,[status(thm)],[])).
% 14.20/9.49 tff(7487,plain,
% 14.20/9.49 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v129(VarNext, B) <=> v127(VarCurr, B))))) | ((~nextState(constB27, constB28)) | ![B: $i] : ((~less_3(B)) | (v129(constB28, B) <=> v127(constB27, B))))),
% 14.20/9.49 inference(quant_inst,[status(thm)],[])).
% 14.20/9.49 tff(7488,plain,
% 14.20/9.49 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v129(VarNext, B) <=> v127(VarCurr, B))))) | (~nextState(constB27, constB28)) | ![B: $i] : ((~less_3(B)) | (v129(constB28, B) <=> v127(constB27, B)))),
% 14.20/9.49 inference(modus_ponens,[status(thm)],[7487, 7486])).
% 14.20/9.49 tff(7489,plain,
% 14.20/9.49 (![B: $i] : ((~less_3(B)) | (v129(constB28, B) <=> v127(constB27, B)))),
% 14.20/9.49 inference(unit_resolution,[status(thm)],[7488, 3702, 5156])).
% 14.20/9.49 tff(7490,plain,
% 14.20/9.49 (((~![B: $i] : ((~less_3(B)) | (v129(constB28, B) <=> v127(constB27, B)))) | ((~less_3(bitIndex2)) | (v129(constB28, bitIndex2) <=> v127(constB27, bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v129(constB28, B) <=> v127(constB27, B)))) | (~less_3(bitIndex2)) | (v129(constB28, bitIndex2) <=> v127(constB27, bitIndex2)))),
% 14.20/9.49 inference(rewrite,[status(thm)],[])).
% 14.20/9.49 tff(7491,plain,
% 14.20/9.49 ((~![B: $i] : ((~less_3(B)) | (v129(constB28, B) <=> v127(constB27, B)))) | ((~less_3(bitIndex2)) | (v129(constB28, bitIndex2) <=> v127(constB27, bitIndex2)))),
% 14.20/9.49 inference(quant_inst,[status(thm)],[])).
% 14.20/9.49 tff(7492,plain,
% 14.20/9.49 ((~![B: $i] : ((~less_3(B)) | (v129(constB28, B) <=> v127(constB27, B)))) | (~less_3(bitIndex2)) | (v129(constB28, bitIndex2) <=> v127(constB27, bitIndex2))),
% 14.20/9.49 inference(modus_ponens,[status(thm)],[7491, 7490])).
% 14.20/9.49 tff(7493,plain,
% 14.20/9.49 (v129(constB28, bitIndex2) <=> v127(constB27, bitIndex2)),
% 14.20/9.49 inference(unit_resolution,[status(thm)],[7492, 413, 7489])).
% 14.20/9.49 tff(7494,plain,
% 14.20/9.49 (((~![VarCurr: $i] : (v111(VarCurr) | ![B: $i] : ((~less_3(B)) | (v127(VarCurr, B) <=> v130(VarCurr, B))))) | (v111(constB27) | ![B: $i] : ((~less_3(B)) | (v127(constB27, B) <=> v130(constB27, B))))) <=> ((~![VarCurr: $i] : (v111(VarCurr) | ![B: $i] : ((~less_3(B)) | (v127(VarCurr, B) <=> v130(VarCurr, B))))) | v111(constB27) | ![B: $i] : ((~less_3(B)) | (v127(constB27, B) <=> v130(constB27, B))))),
% 14.20/9.49 inference(rewrite,[status(thm)],[])).
% 14.20/9.49 tff(7495,plain,
% 14.20/9.49 ((~![VarCurr: $i] : (v111(VarCurr) | ![B: $i] : ((~less_3(B)) | (v127(VarCurr, B) <=> v130(VarCurr, B))))) | (v111(constB27) | ![B: $i] : ((~less_3(B)) | (v127(constB27, B) <=> v130(constB27, B))))),
% 14.20/9.49 inference(quant_inst,[status(thm)],[])).
% 14.20/9.49 tff(7496,plain,
% 14.20/9.49 ((~![VarCurr: $i] : (v111(VarCurr) | ![B: $i] : ((~less_3(B)) | (v127(VarCurr, B) <=> v130(VarCurr, B))))) | v111(constB27) | ![B: $i] : ((~less_3(B)) | (v127(constB27, B) <=> v130(constB27, B)))),
% 14.20/9.49 inference(modus_ponens,[status(thm)],[7495, 7494])).
% 14.20/9.49 tff(7497,plain,
% 14.20/9.49 (![B: $i] : ((~less_3(B)) | (v127(constB27, B) <=> v130(constB27, B)))),
% 14.20/9.49 inference(unit_resolution,[status(thm)],[7496, 5177, 7458])).
% 14.20/9.49 tff(7498,plain,
% 14.20/9.49 (((~![B: $i] : ((~less_3(B)) | (v127(constB27, B) <=> v130(constB27, B)))) | ((~less_3(bitIndex2)) | (v127(constB27, bitIndex2) <=> v130(constB27, bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v127(constB27, B) <=> v130(constB27, B)))) | (~less_3(bitIndex2)) | (v127(constB27, bitIndex2) <=> v130(constB27, bitIndex2)))),
% 14.20/9.49 inference(rewrite,[status(thm)],[])).
% 14.20/9.49 tff(7499,plain,
% 14.20/9.49 ((~![B: $i] : ((~less_3(B)) | (v127(constB27, B) <=> v130(constB27, B)))) | ((~less_3(bitIndex2)) | (v127(constB27, bitIndex2) <=> v130(constB27, bitIndex2)))),
% 14.20/9.49 inference(quant_inst,[status(thm)],[])).
% 14.20/9.49 tff(7500,plain,
% 14.20/9.49 ((~![B: $i] : ((~less_3(B)) | (v127(constB27, B) <=> v130(constB27, B)))) | (~less_3(bitIndex2)) | (v127(constB27, bitIndex2) <=> v130(constB27, bitIndex2))),
% 14.20/9.49 inference(modus_ponens,[status(thm)],[7499, 7498])).
% 14.20/9.49 tff(7501,plain,
% 14.20/9.49 (v127(constB27, bitIndex2) <=> v130(constB27, bitIndex2)),
% 14.20/9.49 inference(unit_resolution,[status(thm)],[7500, 413, 7497])).
% 14.20/9.49 tff(7502,plain,
% 14.20/9.49 (((~![VarCurr: $i] : ((~v120(VarCurr)) | ![B: $i] : ((~less_3(B)) | (v130(VarCurr, B) <=> b010(B))))) | ((~v120(constB27)) | ![B: $i] : ((~less_3(B)) | (v130(constB27, B) <=> b010(B))))) <=> ((~![VarCurr: $i] : ((~v120(VarCurr)) | ![B: $i] : ((~less_3(B)) | (v130(VarCurr, B) <=> b010(B))))) | (~v120(constB27)) | ![B: $i] : ((~less_3(B)) | (v130(constB27, B) <=> b010(B))))),
% 14.20/9.49 inference(rewrite,[status(thm)],[])).
% 14.20/9.49 tff(7503,plain,
% 14.20/9.49 ((~![VarCurr: $i] : ((~v120(VarCurr)) | ![B: $i] : ((~less_3(B)) | (v130(VarCurr, B) <=> b010(B))))) | ((~v120(constB27)) | ![B: $i] : ((~less_3(B)) | (v130(constB27, B) <=> b010(B))))),
% 14.20/9.49 inference(quant_inst,[status(thm)],[])).
% 14.20/9.49 tff(7504,plain,
% 14.20/9.49 ((~![VarCurr: $i] : ((~v120(VarCurr)) | ![B: $i] : ((~less_3(B)) | (v130(VarCurr, B) <=> b010(B))))) | (~v120(constB27)) | ![B: $i] : ((~less_3(B)) | (v130(constB27, B) <=> b010(B)))),
% 14.20/9.49 inference(modus_ponens,[status(thm)],[7503, 7502])).
% 14.20/9.49 tff(7505,plain,
% 14.20/9.49 ((~v120(constB27)) | ![B: $i] : ((~less_3(B)) | (v130(constB27, B) <=> b010(B)))),
% 14.20/9.49 inference(unit_resolution,[status(thm)],[7504, 5797])).
% 14.20/9.49 tff(7506,plain,
% 14.20/9.49 (![B: $i] : ((~less_3(B)) | (v130(constB27, B) <=> b010(B)))),
% 14.20/9.49 inference(unit_resolution,[status(thm)],[7505, 7425])).
% 14.20/9.49 tff(7507,plain,
% 14.20/9.49 (((~![B: $i] : ((~less_3(B)) | (v130(constB27, B) <=> b010(B)))) | ((~less_3(bitIndex2)) | (v130(constB27, bitIndex2) <=> b010(bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v130(constB27, B) <=> b010(B)))) | (~less_3(bitIndex2)) | (v130(constB27, bitIndex2) <=> b010(bitIndex2)))),
% 14.20/9.49 inference(rewrite,[status(thm)],[])).
% 14.20/9.49 tff(7508,plain,
% 14.20/9.49 ((~![B: $i] : ((~less_3(B)) | (v130(constB27, B) <=> b010(B)))) | ((~less_3(bitIndex2)) | (v130(constB27, bitIndex2) <=> b010(bitIndex2)))),
% 14.20/9.49 inference(quant_inst,[status(thm)],[])).
% 14.20/9.49 tff(7509,plain,
% 14.20/9.49 ((~![B: $i] : ((~less_3(B)) | (v130(constB27, B) <=> b010(B)))) | (~less_3(bitIndex2)) | (v130(constB27, bitIndex2) <=> b010(bitIndex2))),
% 14.20/9.49 inference(modus_ponens,[status(thm)],[7508, 7507])).
% 14.20/9.49 tff(7510,plain,
% 14.20/9.49 (v130(constB27, bitIndex2) <=> b010(bitIndex2)),
% 14.20/9.49 inference(unit_resolution,[status(thm)],[7509, 413, 7506])).
% 14.20/9.49 tff(7511,plain,
% 14.20/9.49 ((~(v130(constB27, bitIndex2) <=> b010(bitIndex2))) | (~v130(constB27, bitIndex2)) | b010(bitIndex2)),
% 14.20/9.49 inference(tautology,[status(thm)],[])).
% 14.20/9.49 tff(7512,plain,
% 14.20/9.49 ((~(v130(constB27, bitIndex2) <=> b010(bitIndex2))) | (~v130(constB27, bitIndex2))),
% 14.20/9.49 inference(unit_resolution,[status(thm)],[7511, 5809])).
% 14.20/9.49 tff(7513,plain,
% 14.20/9.49 (~v130(constB27, bitIndex2)),
% 14.20/9.49 inference(unit_resolution,[status(thm)],[7512, 7510])).
% 14.20/9.49 tff(7514,plain,
% 14.20/9.49 ((~(v127(constB27, bitIndex2) <=> v130(constB27, bitIndex2))) | (~v127(constB27, bitIndex2)) | v130(constB27, bitIndex2)),
% 14.20/9.49 inference(tautology,[status(thm)],[])).
% 14.20/9.49 tff(7515,plain,
% 14.20/9.49 (~v127(constB27, bitIndex2)),
% 14.20/9.49 inference(unit_resolution,[status(thm)],[7514, 7513, 7501])).
% 14.20/9.49 tff(7516,plain,
% 14.20/9.49 ((~(v129(constB28, bitIndex2) <=> v127(constB27, bitIndex2))) | (~v129(constB28, bitIndex2)) | v127(constB27, bitIndex2)),
% 14.20/9.49 inference(tautology,[status(thm)],[])).
% 14.20/9.49 tff(7517,plain,
% 14.20/9.49 (~v129(constB28, bitIndex2)),
% 14.20/9.49 inference(unit_resolution,[status(thm)],[7516, 7515, 7493])).
% 14.20/9.49 tff(7518,plain,
% 14.20/9.49 ((~(v90(constB28, bitIndex2) <=> v129(constB28, bitIndex2))) | (~v90(constB28, bitIndex2)) | v129(constB28, bitIndex2)),
% 14.20/9.49 inference(tautology,[status(thm)],[])).
% 14.20/9.49 tff(7519,plain,
% 14.20/9.49 (~v90(constB28, bitIndex2)),
% 14.20/9.49 inference(unit_resolution,[status(thm)],[7518, 7517, 7485])).
% 14.20/9.49 tff(7520,plain,
% 14.20/9.49 ((~(v90(constB29, bitIndex2) <=> v90(constB28, bitIndex2))) | (~v90(constB29, bitIndex2)) | v90(constB28, bitIndex2)),
% 14.20/9.49 inference(tautology,[status(thm)],[])).
% 14.20/9.49 tff(7521,plain,
% 14.20/9.49 (~v90(constB29, bitIndex2)),
% 14.20/9.49 inference(unit_resolution,[status(thm)],[7520, 7519, 3699])).
% 14.20/9.49 tff(7522,plain,
% 14.20/9.49 (((~![B: $i] : ((~less_3(B)) | (v90(constB29, B) <=> v90(constB28, B)))) | ((~less_3(bitIndex0)) | (v90(constB29, bitIndex0) <=> v90(constB28, bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v90(constB29, B) <=> v90(constB28, B)))) | (~less_3(bitIndex0)) | (v90(constB29, bitIndex0) <=> v90(constB28, bitIndex0)))),
% 14.20/9.49 inference(rewrite,[status(thm)],[])).
% 14.20/9.49 tff(7523,plain,
% 14.20/9.49 ((~![B: $i] : ((~less_3(B)) | (v90(constB29, B) <=> v90(constB28, B)))) | ((~less_3(bitIndex0)) | (v90(constB29, bitIndex0) <=> v90(constB28, bitIndex0)))),
% 14.20/9.49 inference(quant_inst,[status(thm)],[])).
% 14.20/9.49 tff(7524,plain,
% 14.20/9.49 ((~![B: $i] : ((~less_3(B)) | (v90(constB29, B) <=> v90(constB28, B)))) | (~less_3(bitIndex0)) | (v90(constB29, bitIndex0) <=> v90(constB28, bitIndex0))),
% 14.20/9.49 inference(modus_ponens,[status(thm)],[7523, 7522])).
% 14.20/9.49 tff(7525,plain,
% 14.20/9.49 (v90(constB29, bitIndex0) <=> v90(constB28, bitIndex0)),
% 14.20/9.49 inference(unit_resolution,[status(thm)],[7524, 5004, 3695])).
% 14.20/9.49 tff(7526,plain,
% 14.20/9.49 (((~![B: $i] : ((~less_3(B)) | (v90(constB28, B) <=> v129(constB28, B)))) | ((~less_3(bitIndex0)) | (v90(constB28, bitIndex0) <=> v129(constB28, bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v90(constB28, B) <=> v129(constB28, B)))) | (~less_3(bitIndex0)) | (v90(constB28, bitIndex0) <=> v129(constB28, bitIndex0)))),
% 14.20/9.49 inference(rewrite,[status(thm)],[])).
% 14.20/9.49 tff(7527,plain,
% 14.20/9.49 ((~![B: $i] : ((~less_3(B)) | (v90(constB28, B) <=> v129(constB28, B)))) | ((~less_3(bitIndex0)) | (v90(constB28, bitIndex0) <=> v129(constB28, bitIndex0)))),
% 14.20/9.49 inference(quant_inst,[status(thm)],[])).
% 14.20/9.49 tff(7528,plain,
% 14.20/9.49 ((~![B: $i] : ((~less_3(B)) | (v90(constB28, B) <=> v129(constB28, B)))) | (~less_3(bitIndex0)) | (v90(constB28, bitIndex0) <=> v129(constB28, bitIndex0))),
% 14.20/9.49 inference(modus_ponens,[status(thm)],[7527, 7526])).
% 14.20/9.49 tff(7529,plain,
% 14.20/9.49 (v90(constB28, bitIndex0) <=> v129(constB28, bitIndex0)),
% 14.20/9.49 inference(unit_resolution,[status(thm)],[7528, 5004, 7481])).
% 14.20/9.49 tff(7530,plain,
% 14.20/9.49 (((~![B: $i] : ((~less_3(B)) | (v129(constB28, B) <=> v127(constB27, B)))) | ((~less_3(bitIndex0)) | (v129(constB28, bitIndex0) <=> v127(constB27, bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v129(constB28, B) <=> v127(constB27, B)))) | (~less_3(bitIndex0)) | (v129(constB28, bitIndex0) <=> v127(constB27, bitIndex0)))),
% 14.20/9.49 inference(rewrite,[status(thm)],[])).
% 14.20/9.49 tff(7531,plain,
% 14.20/9.49 ((~![B: $i] : ((~less_3(B)) | (v129(constB28, B) <=> v127(constB27, B)))) | ((~less_3(bitIndex0)) | (v129(constB28, bitIndex0) <=> v127(constB27, bitIndex0)))),
% 14.20/9.49 inference(quant_inst,[status(thm)],[])).
% 14.20/9.49 tff(7532,plain,
% 14.20/9.49 ((~![B: $i] : ((~less_3(B)) | (v129(constB28, B) <=> v127(constB27, B)))) | (~less_3(bitIndex0)) | (v129(constB28, bitIndex0) <=> v127(constB27, bitIndex0))),
% 14.20/9.49 inference(modus_ponens,[status(thm)],[7531, 7530])).
% 14.20/9.49 tff(7533,plain,
% 14.20/9.49 (v129(constB28, bitIndex0) <=> v127(constB27, bitIndex0)),
% 14.20/9.49 inference(unit_resolution,[status(thm)],[7532, 5004, 7489])).
% 14.20/9.49 tff(7534,plain,
% 14.20/9.49 (((~![B: $i] : ((~less_3(B)) | (v127(constB27, B) <=> v130(constB27, B)))) | ((~less_3(bitIndex0)) | (v127(constB27, bitIndex0) <=> v130(constB27, bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v127(constB27, B) <=> v130(constB27, B)))) | (~less_3(bitIndex0)) | (v127(constB27, bitIndex0) <=> v130(constB27, bitIndex0)))),
% 14.20/9.49 inference(rewrite,[status(thm)],[])).
% 14.20/9.49 tff(7535,plain,
% 14.20/9.49 ((~![B: $i] : ((~less_3(B)) | (v127(constB27, B) <=> v130(constB27, B)))) | ((~less_3(bitIndex0)) | (v127(constB27, bitIndex0) <=> v130(constB27, bitIndex0)))),
% 14.20/9.49 inference(quant_inst,[status(thm)],[])).
% 14.20/9.49 tff(7536,plain,
% 14.20/9.49 ((~![B: $i] : ((~less_3(B)) | (v127(constB27, B) <=> v130(constB27, B)))) | (~less_3(bitIndex0)) | (v127(constB27, bitIndex0) <=> v130(constB27, bitIndex0))),
% 14.20/9.49 inference(modus_ponens,[status(thm)],[7535, 7534])).
% 14.20/9.49 tff(7537,plain,
% 14.20/9.49 (v127(constB27, bitIndex0) <=> v130(constB27, bitIndex0)),
% 14.20/9.49 inference(unit_resolution,[status(thm)],[7536, 5004, 7497])).
% 14.20/9.49 tff(7538,plain,
% 14.20/9.49 (((~![B: $i] : ((~less_3(B)) | (v130(constB27, B) <=> b010(B)))) | ((~less_3(bitIndex0)) | (v130(constB27, bitIndex0) <=> b010(bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v130(constB27, B) <=> b010(B)))) | (~less_3(bitIndex0)) | (v130(constB27, bitIndex0) <=> b010(bitIndex0)))),
% 14.20/9.49 inference(rewrite,[status(thm)],[])).
% 14.20/9.49 tff(7539,plain,
% 14.20/9.49 ((~![B: $i] : ((~less_3(B)) | (v130(constB27, B) <=> b010(B)))) | ((~less_3(bitIndex0)) | (v130(constB27, bitIndex0) <=> b010(bitIndex0)))),
% 14.20/9.49 inference(quant_inst,[status(thm)],[])).
% 14.20/9.49 tff(7540,plain,
% 14.20/9.49 ((~![B: $i] : ((~less_3(B)) | (v130(constB27, B) <=> b010(B)))) | (~less_3(bitIndex0)) | (v130(constB27, bitIndex0) <=> b010(bitIndex0))),
% 14.20/9.49 inference(modus_ponens,[status(thm)],[7539, 7538])).
% 14.20/9.49 tff(7541,plain,
% 14.20/9.49 (v130(constB27, bitIndex0) <=> b010(bitIndex0)),
% 14.20/9.49 inference(unit_resolution,[status(thm)],[7540, 5004, 7506])).
% 14.20/9.49 tff(7542,plain,
% 14.20/9.49 ((~(v130(constB27, bitIndex0) <=> b010(bitIndex0))) | (~v130(constB27, bitIndex0)) | b010(bitIndex0)),
% 14.20/9.50 inference(tautology,[status(thm)],[])).
% 14.20/9.50 tff(7543,plain,
% 14.20/9.50 ((~(v130(constB27, bitIndex0) <=> b010(bitIndex0))) | (~v130(constB27, bitIndex0))),
% 14.20/9.50 inference(unit_resolution,[status(thm)],[7542, 5843])).
% 14.20/9.50 tff(7544,plain,
% 14.20/9.50 (~v130(constB27, bitIndex0)),
% 14.20/9.50 inference(unit_resolution,[status(thm)],[7543, 7541])).
% 14.20/9.50 tff(7545,plain,
% 14.20/9.50 ((~(v127(constB27, bitIndex0) <=> v130(constB27, bitIndex0))) | (~v127(constB27, bitIndex0)) | v130(constB27, bitIndex0)),
% 14.20/9.50 inference(tautology,[status(thm)],[])).
% 14.20/9.50 tff(7546,plain,
% 14.20/9.50 (~v127(constB27, bitIndex0)),
% 14.20/9.50 inference(unit_resolution,[status(thm)],[7545, 7544, 7537])).
% 14.20/9.50 tff(7547,plain,
% 14.20/9.50 ((~(v129(constB28, bitIndex0) <=> v127(constB27, bitIndex0))) | (~v129(constB28, bitIndex0)) | v127(constB27, bitIndex0)),
% 14.20/9.50 inference(tautology,[status(thm)],[])).
% 14.20/9.50 tff(7548,plain,
% 14.20/9.50 (~v129(constB28, bitIndex0)),
% 14.20/9.50 inference(unit_resolution,[status(thm)],[7547, 7546, 7533])).
% 14.20/9.50 tff(7549,plain,
% 14.20/9.50 ((~(v90(constB28, bitIndex0) <=> v129(constB28, bitIndex0))) | (~v90(constB28, bitIndex0)) | v129(constB28, bitIndex0)),
% 14.20/9.50 inference(tautology,[status(thm)],[])).
% 14.20/9.50 tff(7550,plain,
% 14.20/9.50 (~v90(constB28, bitIndex0)),
% 14.20/9.50 inference(unit_resolution,[status(thm)],[7549, 7548, 7529])).
% 14.20/9.50 tff(7551,plain,
% 14.20/9.50 ((~(v90(constB29, bitIndex0) <=> v90(constB28, bitIndex0))) | (~v90(constB29, bitIndex0)) | v90(constB28, bitIndex0)),
% 14.20/9.50 inference(tautology,[status(thm)],[])).
% 14.20/9.50 tff(7552,plain,
% 14.20/9.50 (~v90(constB29, bitIndex0)),
% 14.20/9.50 inference(unit_resolution,[status(thm)],[7551, 7550, 7525])).
% 14.20/9.50 tff(7553,plain,
% 14.20/9.50 (((~![B: $i] : ((~less_3(B)) | (v90(constB29, B) <=> v90(constB28, B)))) | ((~less_3(bitIndex1)) | (v90(constB29, bitIndex1) <=> v90(constB28, bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v90(constB29, B) <=> v90(constB28, B)))) | (~less_3(bitIndex1)) | (v90(constB29, bitIndex1) <=> v90(constB28, bitIndex1)))),
% 14.20/9.50 inference(rewrite,[status(thm)],[])).
% 14.20/9.50 tff(7554,plain,
% 14.20/9.50 ((~![B: $i] : ((~less_3(B)) | (v90(constB29, B) <=> v90(constB28, B)))) | ((~less_3(bitIndex1)) | (v90(constB29, bitIndex1) <=> v90(constB28, bitIndex1)))),
% 14.20/9.50 inference(quant_inst,[status(thm)],[])).
% 14.20/9.50 tff(7555,plain,
% 14.20/9.50 ((~![B: $i] : ((~less_3(B)) | (v90(constB29, B) <=> v90(constB28, B)))) | (~less_3(bitIndex1)) | (v90(constB29, bitIndex1) <=> v90(constB28, bitIndex1))),
% 14.20/9.50 inference(modus_ponens,[status(thm)],[7554, 7553])).
% 14.20/9.50 tff(7556,plain,
% 14.20/9.50 (v90(constB29, bitIndex1) <=> v90(constB28, bitIndex1)),
% 14.20/9.50 inference(unit_resolution,[status(thm)],[7555, 5017, 3695])).
% 14.20/9.50 tff(7557,plain,
% 14.20/9.50 (((~![B: $i] : ((~less_3(B)) | (v90(constB28, B) <=> v129(constB28, B)))) | ((~less_3(bitIndex1)) | (v90(constB28, bitIndex1) <=> v129(constB28, bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v90(constB28, B) <=> v129(constB28, B)))) | (~less_3(bitIndex1)) | (v90(constB28, bitIndex1) <=> v129(constB28, bitIndex1)))),
% 14.20/9.50 inference(rewrite,[status(thm)],[])).
% 14.20/9.50 tff(7558,plain,
% 14.20/9.50 ((~![B: $i] : ((~less_3(B)) | (v90(constB28, B) <=> v129(constB28, B)))) | ((~less_3(bitIndex1)) | (v90(constB28, bitIndex1) <=> v129(constB28, bitIndex1)))),
% 14.20/9.50 inference(quant_inst,[status(thm)],[])).
% 14.20/9.50 tff(7559,plain,
% 14.20/9.50 ((~![B: $i] : ((~less_3(B)) | (v90(constB28, B) <=> v129(constB28, B)))) | (~less_3(bitIndex1)) | (v90(constB28, bitIndex1) <=> v129(constB28, bitIndex1))),
% 14.20/9.50 inference(modus_ponens,[status(thm)],[7558, 7557])).
% 14.20/9.50 tff(7560,plain,
% 14.20/9.50 (v90(constB28, bitIndex1) <=> v129(constB28, bitIndex1)),
% 14.20/9.50 inference(unit_resolution,[status(thm)],[7559, 5017, 7481])).
% 14.20/9.50 tff(7561,plain,
% 14.20/9.50 (((~![B: $i] : ((~less_3(B)) | (v129(constB28, B) <=> v127(constB27, B)))) | ((~less_3(bitIndex1)) | (v129(constB28, bitIndex1) <=> v127(constB27, bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v129(constB28, B) <=> v127(constB27, B)))) | (~less_3(bitIndex1)) | (v129(constB28, bitIndex1) <=> v127(constB27, bitIndex1)))),
% 14.20/9.50 inference(rewrite,[status(thm)],[])).
% 14.20/9.50 tff(7562,plain,
% 14.20/9.50 ((~![B: $i] : ((~less_3(B)) | (v129(constB28, B) <=> v127(constB27, B)))) | ((~less_3(bitIndex1)) | (v129(constB28, bitIndex1) <=> v127(constB27, bitIndex1)))),
% 14.20/9.50 inference(quant_inst,[status(thm)],[])).
% 14.20/9.50 tff(7563,plain,
% 14.20/9.50 ((~![B: $i] : ((~less_3(B)) | (v129(constB28, B) <=> v127(constB27, B)))) | (~less_3(bitIndex1)) | (v129(constB28, bitIndex1) <=> v127(constB27, bitIndex1))),
% 14.20/9.50 inference(modus_ponens,[status(thm)],[7562, 7561])).
% 14.20/9.50 tff(7564,plain,
% 14.20/9.50 (v129(constB28, bitIndex1) <=> v127(constB27, bitIndex1)),
% 14.20/9.50 inference(unit_resolution,[status(thm)],[7563, 5017, 7489])).
% 14.20/9.50 tff(7565,plain,
% 14.20/9.50 (((~![B: $i] : ((~less_3(B)) | (v127(constB27, B) <=> v130(constB27, B)))) | ((~less_3(bitIndex1)) | (v127(constB27, bitIndex1) <=> v130(constB27, bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v127(constB27, B) <=> v130(constB27, B)))) | (~less_3(bitIndex1)) | (v127(constB27, bitIndex1) <=> v130(constB27, bitIndex1)))),
% 14.20/9.50 inference(rewrite,[status(thm)],[])).
% 14.20/9.50 tff(7566,plain,
% 14.20/9.50 ((~![B: $i] : ((~less_3(B)) | (v127(constB27, B) <=> v130(constB27, B)))) | ((~less_3(bitIndex1)) | (v127(constB27, bitIndex1) <=> v130(constB27, bitIndex1)))),
% 14.20/9.50 inference(quant_inst,[status(thm)],[])).
% 14.20/9.50 tff(7567,plain,
% 14.20/9.50 ((~![B: $i] : ((~less_3(B)) | (v127(constB27, B) <=> v130(constB27, B)))) | (~less_3(bitIndex1)) | (v127(constB27, bitIndex1) <=> v130(constB27, bitIndex1))),
% 14.20/9.50 inference(modus_ponens,[status(thm)],[7566, 7565])).
% 14.20/9.50 tff(7568,plain,
% 14.20/9.50 (v127(constB27, bitIndex1) <=> v130(constB27, bitIndex1)),
% 14.20/9.50 inference(unit_resolution,[status(thm)],[7567, 5017, 7497])).
% 14.20/9.50 tff(7569,plain,
% 14.20/9.50 (((~![B: $i] : ((~less_3(B)) | (v130(constB27, B) <=> b010(B)))) | ((~less_3(bitIndex1)) | (v130(constB27, bitIndex1) <=> b010(bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v130(constB27, B) <=> b010(B)))) | (~less_3(bitIndex1)) | (v130(constB27, bitIndex1) <=> b010(bitIndex1)))),
% 14.20/9.50 inference(rewrite,[status(thm)],[])).
% 14.20/9.50 tff(7570,plain,
% 14.20/9.50 ((~![B: $i] : ((~less_3(B)) | (v130(constB27, B) <=> b010(B)))) | ((~less_3(bitIndex1)) | (v130(constB27, bitIndex1) <=> b010(bitIndex1)))),
% 14.20/9.50 inference(quant_inst,[status(thm)],[])).
% 14.20/9.50 tff(7571,plain,
% 14.20/9.50 ((~![B: $i] : ((~less_3(B)) | (v130(constB27, B) <=> b010(B)))) | (~less_3(bitIndex1)) | (v130(constB27, bitIndex1) <=> b010(bitIndex1))),
% 14.20/9.50 inference(modus_ponens,[status(thm)],[7570, 7569])).
% 14.20/9.50 tff(7572,plain,
% 14.20/9.50 (v130(constB27, bitIndex1) <=> b010(bitIndex1)),
% 14.20/9.50 inference(unit_resolution,[status(thm)],[7571, 5017, 7506])).
% 14.20/9.50 tff(7573,plain,
% 14.20/9.50 ((~(v130(constB27, bitIndex1) <=> b010(bitIndex1))) | v130(constB27, bitIndex1) | (~b010(bitIndex1))),
% 14.20/9.50 inference(tautology,[status(thm)],[])).
% 14.20/9.50 tff(7574,plain,
% 14.20/9.50 ((~(v130(constB27, bitIndex1) <=> b010(bitIndex1))) | v130(constB27, bitIndex1)),
% 14.20/9.50 inference(unit_resolution,[status(thm)],[7573, 5877])).
% 14.20/9.50 tff(7575,plain,
% 14.20/9.50 (v130(constB27, bitIndex1)),
% 14.20/9.50 inference(unit_resolution,[status(thm)],[7574, 7572])).
% 14.20/9.50 tff(7576,plain,
% 14.20/9.50 ((~(v127(constB27, bitIndex1) <=> v130(constB27, bitIndex1))) | v127(constB27, bitIndex1) | (~v130(constB27, bitIndex1))),
% 14.20/9.50 inference(tautology,[status(thm)],[])).
% 14.20/9.50 tff(7577,plain,
% 14.20/9.50 (v127(constB27, bitIndex1)),
% 14.20/9.50 inference(unit_resolution,[status(thm)],[7576, 7575, 7568])).
% 14.20/9.50 tff(7578,plain,
% 14.20/9.50 ((~(v129(constB28, bitIndex1) <=> v127(constB27, bitIndex1))) | v129(constB28, bitIndex1) | (~v127(constB27, bitIndex1))),
% 14.20/9.50 inference(tautology,[status(thm)],[])).
% 14.20/9.50 tff(7579,plain,
% 14.20/9.50 (v129(constB28, bitIndex1)),
% 14.20/9.50 inference(unit_resolution,[status(thm)],[7578, 7577, 7564])).
% 14.20/9.50 tff(7580,plain,
% 14.20/9.50 ((~(v90(constB28, bitIndex1) <=> v129(constB28, bitIndex1))) | v90(constB28, bitIndex1) | (~v129(constB28, bitIndex1))),
% 14.20/9.50 inference(tautology,[status(thm)],[])).
% 14.20/9.50 tff(7581,plain,
% 14.20/9.50 (v90(constB28, bitIndex1)),
% 14.20/9.50 inference(unit_resolution,[status(thm)],[7580, 7579, 7560])).
% 14.20/9.50 tff(7582,plain,
% 14.20/9.50 ((~(v90(constB29, bitIndex1) <=> v90(constB28, bitIndex1))) | v90(constB29, bitIndex1) | (~v90(constB28, bitIndex1))),
% 14.20/9.50 inference(tautology,[status(thm)],[])).
% 14.20/9.50 tff(7583,plain,
% 14.20/9.50 (v90(constB29, bitIndex1)),
% 14.20/9.50 inference(unit_resolution,[status(thm)],[7582, 7581, 7556])).
% 14.20/9.50 tff(7584,plain,
% 14.20/9.50 ((~(v90(constB29, bitIndex2) | (~v90(constB29, bitIndex1)) | v90(constB29, bitIndex0))) | v90(constB29, bitIndex2) | (~v90(constB29, bitIndex1)) | v90(constB29, bitIndex0)),
% 14.30/9.50 inference(tautology,[status(thm)],[])).
% 14.30/9.50 tff(7585,plain,
% 14.30/9.50 (~(v90(constB29, bitIndex2) | (~v90(constB29, bitIndex1)) | v90(constB29, bitIndex0))),
% 14.30/9.50 inference(unit_resolution,[status(thm)],[7584, 7583, 7552, 7521])).
% 14.30/9.50 tff(7586,plain,
% 14.30/9.50 ((~(v121(constB29) <=> (~(v90(constB29, bitIndex2) | (~v90(constB29, bitIndex1)) | v90(constB29, bitIndex0))))) | v121(constB29) | (v90(constB29, bitIndex2) | (~v90(constB29, bitIndex1)) | v90(constB29, bitIndex0))),
% 14.30/9.50 inference(tautology,[status(thm)],[])).
% 14.30/9.50 tff(7587,plain,
% 14.30/9.50 (v121(constB29)),
% 14.30/9.50 inference(unit_resolution,[status(thm)],[7586, 7585, 3667])).
% 14.30/9.50 tff(7588,plain,
% 14.30/9.50 ((v118(constB29) | v121(constB29)) | (~v121(constB29))),
% 14.30/9.50 inference(tautology,[status(thm)],[])).
% 14.30/9.50 tff(7589,plain,
% 14.30/9.50 (v118(constB29) | v121(constB29)),
% 14.30/9.50 inference(unit_resolution,[status(thm)],[7588, 7587])).
% 14.30/9.50 tff(7590,plain,
% 14.30/9.50 ((~(v117(constB29) <=> (v118(constB29) | v121(constB29)))) | v117(constB29) | (~(v118(constB29) | v121(constB29)))),
% 14.30/9.50 inference(tautology,[status(thm)],[])).
% 14.30/9.50 tff(7591,plain,
% 14.30/9.50 (v117(constB29)),
% 14.30/9.50 inference(unit_resolution,[status(thm)],[7590, 7589, 3660])).
% 14.30/9.50 tff(7592,plain,
% 14.30/9.50 ((v117(constB29) | v122(constB29)) | (~v117(constB29))),
% 14.30/9.50 inference(tautology,[status(thm)],[])).
% 14.30/9.50 tff(7593,plain,
% 14.30/9.50 (v117(constB29) | v122(constB29)),
% 14.30/9.50 inference(unit_resolution,[status(thm)],[7592, 7591])).
% 14.30/9.50 tff(7594,plain,
% 14.30/9.50 ((~(v116(constB29) <=> (v117(constB29) | v122(constB29)))) | v116(constB29) | (~(v117(constB29) | v122(constB29)))),
% 14.30/9.50 inference(tautology,[status(thm)],[])).
% 14.30/9.50 tff(7595,plain,
% 14.30/9.50 (v116(constB29)),
% 14.30/9.50 inference(unit_resolution,[status(thm)],[7594, 7593, 3658])).
% 14.30/9.50 tff(7596,plain,
% 14.30/9.50 ((v116(constB29) | v123(constB29)) | (~v116(constB29))),
% 14.30/9.50 inference(tautology,[status(thm)],[])).
% 14.30/9.50 tff(7597,plain,
% 14.30/9.50 (v116(constB29) | v123(constB29)),
% 14.30/9.50 inference(unit_resolution,[status(thm)],[7596, 7595])).
% 14.30/9.50 tff(7598,plain,
% 14.30/9.50 ((~(v115(constB29) <=> (v116(constB29) | v123(constB29)))) | v115(constB29) | (~(v116(constB29) | v123(constB29)))),
% 14.30/9.50 inference(tautology,[status(thm)],[])).
% 14.30/9.50 tff(7599,plain,
% 14.30/9.50 (v115(constB29)),
% 14.30/9.50 inference(unit_resolution,[status(thm)],[7598, 7597, 3656])).
% 14.30/9.50 tff(7600,plain,
% 14.30/9.50 ((v115(constB29) | v124(constB29)) | (~v115(constB29))),
% 14.30/9.50 inference(tautology,[status(thm)],[])).
% 14.30/9.50 tff(7601,plain,
% 14.30/9.50 (v115(constB29) | v124(constB29)),
% 14.30/9.50 inference(unit_resolution,[status(thm)],[7600, 7599])).
% 14.30/9.50 tff(7602,plain,
% 14.30/9.50 ((~(v114(constB29) <=> (v115(constB29) | v124(constB29)))) | v114(constB29) | (~(v115(constB29) | v124(constB29)))),
% 14.30/9.50 inference(tautology,[status(thm)],[])).
% 14.30/9.50 tff(7603,plain,
% 14.30/9.50 (v114(constB29)),
% 14.30/9.50 inference(unit_resolution,[status(thm)],[7602, 7601, 3654])).
% 14.30/9.50 tff(7604,plain,
% 14.30/9.50 ((v114(constB29) | v125(constB29)) | (~v114(constB29))),
% 14.30/9.50 inference(tautology,[status(thm)],[])).
% 14.30/9.50 tff(7605,plain,
% 14.30/9.50 (v114(constB29) | v125(constB29)),
% 14.30/9.50 inference(unit_resolution,[status(thm)],[7604, 7603])).
% 14.30/9.50 tff(7606,plain,
% 14.30/9.50 ((~(v113(constB29) <=> (v114(constB29) | v125(constB29)))) | v113(constB29) | (~(v114(constB29) | v125(constB29)))),
% 14.30/9.50 inference(tautology,[status(thm)],[])).
% 14.30/9.50 tff(7607,plain,
% 14.30/9.50 (v113(constB29)),
% 14.30/9.50 inference(unit_resolution,[status(thm)],[7606, 7605, 3652])).
% 14.30/9.50 tff(7608,plain,
% 14.30/9.50 ((~![VarCurr: $i] : ((~v126(VarCurr)) <=> v111(VarCurr))) | ((~v126(constB29)) <=> v111(constB29))),
% 14.30/9.50 inference(quant_inst,[status(thm)],[])).
% 14.30/9.50 tff(7609,plain,
% 14.30/9.50 ((~v126(constB29)) <=> v111(constB29)),
% 14.30/9.50 inference(unit_resolution,[status(thm)],[7608, 5074])).
% 14.30/9.50 tff(7610,plain,
% 14.30/9.50 ((~![VarCurr: $i] : (v111(VarCurr) <=> v26(VarCurr))) | (v111(constB29) <=> v26(constB29))),
% 14.30/9.50 inference(quant_inst,[status(thm)],[])).
% 14.30/9.50 tff(7611,plain,
% 14.30/9.50 (v111(constB29) <=> v26(constB29)),
% 14.30/9.50 inference(unit_resolution,[status(thm)],[7610, 5086])).
% 14.30/9.50 tff(7612,plain,
% 14.30/9.50 ((~![VarCurr: $i] : (~v26(VarCurr))) | (~v26(constB29))),
% 14.30/9.50 inference(quant_inst,[status(thm)],[])).
% 14.30/9.50 tff(7613,plain,
% 14.30/9.50 (~v26(constB29)),
% 14.30/9.50 inference(unit_resolution,[status(thm)],[7612, 5098])).
% 14.30/9.50 tff(7614,plain,
% 14.30/9.50 ((~(v111(constB29) <=> v26(constB29))) | (~v111(constB29)) | v26(constB29)),
% 14.30/9.50 inference(tautology,[status(thm)],[])).
% 14.30/9.50 tff(7615,plain,
% 14.30/9.50 ((~(v111(constB29) <=> v26(constB29))) | (~v111(constB29))),
% 14.30/9.50 inference(unit_resolution,[status(thm)],[7614, 7613])).
% 14.30/9.50 tff(7616,plain,
% 14.30/9.50 (~v111(constB29)),
% 14.30/9.50 inference(unit_resolution,[status(thm)],[7615, 7611])).
% 14.30/9.50 tff(7617,plain,
% 14.30/9.50 ((~((~v126(constB29)) <=> v111(constB29))) | v126(constB29) | v111(constB29)),
% 14.30/9.50 inference(tautology,[status(thm)],[])).
% 14.30/9.50 tff(7618,plain,
% 14.30/9.50 ((~((~v126(constB29)) <=> v111(constB29))) | v126(constB29)),
% 14.30/9.50 inference(unit_resolution,[status(thm)],[7617, 7616])).
% 14.30/9.50 tff(7619,plain,
% 14.30/9.50 (v126(constB29)),
% 14.30/9.50 inference(unit_resolution,[status(thm)],[7618, 7609])).
% 14.30/9.50 tff(7620,plain,
% 14.30/9.50 ((~((~v113(constB29)) | (~v126(constB29)))) | (~v113(constB29)) | (~v126(constB29))),
% 14.30/9.50 inference(tautology,[status(thm)],[])).
% 14.30/9.50 tff(7621,plain,
% 14.30/9.50 ((~((~v113(constB29)) | (~v126(constB29)))) | (~v113(constB29))),
% 14.30/9.50 inference(unit_resolution,[status(thm)],[7620, 7619])).
% 14.30/9.50 tff(7622,plain,
% 14.30/9.50 (~((~v113(constB29)) | (~v126(constB29)))),
% 14.30/9.50 inference(unit_resolution,[status(thm)],[7621, 7607])).
% 14.30/9.50 tff(7623,plain,
% 14.30/9.50 ((~(v112(constB29) <=> (~((~v113(constB29)) | (~v126(constB29)))))) | v112(constB29) | ((~v113(constB29)) | (~v126(constB29)))),
% 14.30/9.50 inference(tautology,[status(thm)],[])).
% 14.30/9.50 tff(7624,plain,
% 14.30/9.50 (v112(constB29)),
% 14.30/9.50 inference(unit_resolution,[status(thm)],[7623, 7622, 3650])).
% 14.30/9.50 tff(7625,plain,
% 14.30/9.50 ((v111(constB29) | v112(constB29)) | (~v112(constB29))),
% 14.30/9.50 inference(tautology,[status(thm)],[])).
% 14.30/9.50 tff(7626,plain,
% 14.30/9.50 (v111(constB29) | v112(constB29)),
% 14.30/9.50 inference(unit_resolution,[status(thm)],[7625, 7624])).
% 14.30/9.50 tff(7627,plain,
% 14.30/9.50 ((~(v108(constB29) <=> (v111(constB29) | v112(constB29)))) | v108(constB29) | (~(v111(constB29) | v112(constB29)))),
% 14.30/9.50 inference(tautology,[status(thm)],[])).
% 14.30/9.50 tff(7628,plain,
% 14.30/9.50 (v108(constB29)),
% 14.30/9.50 inference(unit_resolution,[status(thm)],[7627, 7626, 3648])).
% 14.30/9.50 tff(7629,plain,
% 14.30/9.50 ((~(v110(constB30) <=> v108(constB29))) | v110(constB30) | (~v108(constB29))),
% 14.30/9.50 inference(tautology,[status(thm)],[])).
% 14.30/9.50 tff(7630,plain,
% 14.30/9.50 (v110(constB30)),
% 14.30/9.50 inference(unit_resolution,[status(thm)],[7629, 7628, 3646])).
% 14.30/9.50 tff(7631,plain,
% 14.30/9.50 ((~((~v101(constB30)) | (~v110(constB30)))) | (~v101(constB30)) | (~v110(constB30))),
% 14.30/9.50 inference(tautology,[status(thm)],[])).
% 14.30/9.50 tff(7632,plain,
% 14.30/9.50 (~((~v101(constB30)) | (~v110(constB30)))),
% 14.30/9.50 inference(unit_resolution,[status(thm)],[7631, 7630, 3642])).
% 14.30/9.50 tff(7633,plain,
% 14.30/9.50 ((~(v100(constB30) <=> (~((~v101(constB30)) | (~v110(constB30)))))) | v100(constB30) | ((~v101(constB30)) | (~v110(constB30)))),
% 14.30/9.50 inference(tautology,[status(thm)],[])).
% 14.30/9.50 tff(7634,plain,
% 14.30/9.50 (v100(constB30)),
% 14.30/9.50 inference(unit_resolution,[status(thm)],[7633, 7632, 3611])).
% 14.30/9.50 tff(7635,plain,
% 14.30/9.50 (((~![VarNext: $i] : ((~v100(VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v129(VarNext, B))))) | ((~v100(constB30)) | ![B: $i] : ((~less_3(B)) | (v90(constB30, B) <=> v129(constB30, B))))) <=> ((~![VarNext: $i] : ((~v100(VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v129(VarNext, B))))) | (~v100(constB30)) | ![B: $i] : ((~less_3(B)) | (v90(constB30, B) <=> v129(constB30, B))))),
% 14.30/9.50 inference(rewrite,[status(thm)],[])).
% 14.30/9.50 tff(7636,plain,
% 14.30/9.50 ((~![VarNext: $i] : ((~v100(VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v129(VarNext, B))))) | ((~v100(constB30)) | ![B: $i] : ((~less_3(B)) | (v90(constB30, B) <=> v129(constB30, B))))),
% 14.30/9.50 inference(quant_inst,[status(thm)],[])).
% 14.30/9.50 tff(7637,plain,
% 14.30/9.50 ((~![VarNext: $i] : ((~v100(VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v129(VarNext, B))))) | (~v100(constB30)) | ![B: $i] : ((~less_3(B)) | (v90(constB30, B) <=> v129(constB30, B)))),
% 14.30/9.50 inference(modus_ponens,[status(thm)],[7636, 7635])).
% 14.30/9.50 tff(7638,plain,
% 14.30/9.50 ((~v100(constB30)) | ![B: $i] : ((~less_3(B)) | (v90(constB30, B) <=> v129(constB30, B)))),
% 14.30/9.50 inference(unit_resolution,[status(thm)],[7637, 5134])).
% 14.30/9.50 tff(7639,plain,
% 14.30/9.50 (![B: $i] : ((~less_3(B)) | (v90(constB30, B) <=> v129(constB30, B)))),
% 14.30/9.50 inference(unit_resolution,[status(thm)],[7638, 7634])).
% 14.30/9.50 tff(7640,plain,
% 14.30/9.50 (((~![B: $i] : ((~less_3(B)) | (v90(constB30, B) <=> v129(constB30, B)))) | ((~less_3(bitIndex2)) | (v90(constB30, bitIndex2) <=> v129(constB30, bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v90(constB30, B) <=> v129(constB30, B)))) | (~less_3(bitIndex2)) | (v90(constB30, bitIndex2) <=> v129(constB30, bitIndex2)))),
% 14.30/9.50 inference(rewrite,[status(thm)],[])).
% 14.30/9.50 tff(7641,plain,
% 14.30/9.50 ((~![B: $i] : ((~less_3(B)) | (v90(constB30, B) <=> v129(constB30, B)))) | ((~less_3(bitIndex2)) | (v90(constB30, bitIndex2) <=> v129(constB30, bitIndex2)))),
% 14.30/9.50 inference(quant_inst,[status(thm)],[])).
% 14.30/9.50 tff(7642,plain,
% 14.30/9.50 ((~![B: $i] : ((~less_3(B)) | (v90(constB30, B) <=> v129(constB30, B)))) | (~less_3(bitIndex2)) | (v90(constB30, bitIndex2) <=> v129(constB30, bitIndex2))),
% 14.30/9.50 inference(modus_ponens,[status(thm)],[7641, 7640])).
% 14.30/9.50 tff(7643,plain,
% 14.30/9.50 (v90(constB30, bitIndex2) <=> v129(constB30, bitIndex2)),
% 14.30/9.50 inference(unit_resolution,[status(thm)],[7642, 413, 7639])).
% 14.30/9.50 tff(7644,plain,
% 14.30/9.50 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v129(VarNext, B) <=> v127(VarCurr, B))))) | ((~nextState(constB29, constB30)) | ![B: $i] : ((~less_3(B)) | (v129(constB30, B) <=> v127(constB29, B))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v129(VarNext, B) <=> v127(VarCurr, B))))) | (~nextState(constB29, constB30)) | ![B: $i] : ((~less_3(B)) | (v129(constB30, B) <=> v127(constB29, B))))),
% 14.30/9.50 inference(rewrite,[status(thm)],[])).
% 14.30/9.50 tff(7645,plain,
% 14.30/9.50 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v129(VarNext, B) <=> v127(VarCurr, B))))) | ((~nextState(constB29, constB30)) | ![B: $i] : ((~less_3(B)) | (v129(constB30, B) <=> v127(constB29, B))))),
% 14.30/9.50 inference(quant_inst,[status(thm)],[])).
% 14.30/9.50 tff(7646,plain,
% 14.30/9.50 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v129(VarNext, B) <=> v127(VarCurr, B))))) | (~nextState(constB29, constB30)) | ![B: $i] : ((~less_3(B)) | (v129(constB30, B) <=> v127(constB29, B)))),
% 14.30/9.50 inference(modus_ponens,[status(thm)],[7645, 7644])).
% 14.30/9.50 tff(7647,plain,
% 14.30/9.50 (![B: $i] : ((~less_3(B)) | (v129(constB30, B) <=> v127(constB29, B)))),
% 14.30/9.50 inference(unit_resolution,[status(thm)],[7646, 3607, 5156])).
% 14.30/9.50 tff(7648,plain,
% 14.30/9.50 (((~![B: $i] : ((~less_3(B)) | (v129(constB30, B) <=> v127(constB29, B)))) | ((~less_3(bitIndex2)) | (v129(constB30, bitIndex2) <=> v127(constB29, bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v129(constB30, B) <=> v127(constB29, B)))) | (~less_3(bitIndex2)) | (v129(constB30, bitIndex2) <=> v127(constB29, bitIndex2)))),
% 14.30/9.50 inference(rewrite,[status(thm)],[])).
% 14.30/9.50 tff(7649,plain,
% 14.30/9.50 ((~![B: $i] : ((~less_3(B)) | (v129(constB30, B) <=> v127(constB29, B)))) | ((~less_3(bitIndex2)) | (v129(constB30, bitIndex2) <=> v127(constB29, bitIndex2)))),
% 14.30/9.50 inference(quant_inst,[status(thm)],[])).
% 14.30/9.50 tff(7650,plain,
% 14.30/9.50 ((~![B: $i] : ((~less_3(B)) | (v129(constB30, B) <=> v127(constB29, B)))) | (~less_3(bitIndex2)) | (v129(constB30, bitIndex2) <=> v127(constB29, bitIndex2))),
% 14.30/9.50 inference(modus_ponens,[status(thm)],[7649, 7648])).
% 14.30/9.50 tff(7651,plain,
% 14.30/9.50 (v129(constB30, bitIndex2) <=> v127(constB29, bitIndex2)),
% 14.30/9.50 inference(unit_resolution,[status(thm)],[7650, 413, 7647])).
% 14.30/9.50 tff(7652,plain,
% 14.30/9.50 (((~![VarCurr: $i] : (v111(VarCurr) | ![B: $i] : ((~less_3(B)) | (v127(VarCurr, B) <=> v130(VarCurr, B))))) | (v111(constB29) | ![B: $i] : ((~less_3(B)) | (v127(constB29, B) <=> v130(constB29, B))))) <=> ((~![VarCurr: $i] : (v111(VarCurr) | ![B: $i] : ((~less_3(B)) | (v127(VarCurr, B) <=> v130(VarCurr, B))))) | v111(constB29) | ![B: $i] : ((~less_3(B)) | (v127(constB29, B) <=> v130(constB29, B))))),
% 14.30/9.50 inference(rewrite,[status(thm)],[])).
% 14.30/9.50 tff(7653,plain,
% 14.30/9.50 ((~![VarCurr: $i] : (v111(VarCurr) | ![B: $i] : ((~less_3(B)) | (v127(VarCurr, B) <=> v130(VarCurr, B))))) | (v111(constB29) | ![B: $i] : ((~less_3(B)) | (v127(constB29, B) <=> v130(constB29, B))))),
% 14.30/9.50 inference(quant_inst,[status(thm)],[])).
% 14.30/9.50 tff(7654,plain,
% 14.30/9.50 ((~![VarCurr: $i] : (v111(VarCurr) | ![B: $i] : ((~less_3(B)) | (v127(VarCurr, B) <=> v130(VarCurr, B))))) | v111(constB29) | ![B: $i] : ((~less_3(B)) | (v127(constB29, B) <=> v130(constB29, B)))),
% 14.30/9.50 inference(modus_ponens,[status(thm)],[7653, 7652])).
% 14.30/9.50 tff(7655,plain,
% 14.30/9.50 (![B: $i] : ((~less_3(B)) | (v127(constB29, B) <=> v130(constB29, B)))),
% 14.30/9.50 inference(unit_resolution,[status(thm)],[7654, 5177, 7616])).
% 14.30/9.50 tff(7656,plain,
% 14.30/9.50 (((~![B: $i] : ((~less_3(B)) | (v127(constB29, B) <=> v130(constB29, B)))) | ((~less_3(bitIndex2)) | (v127(constB29, bitIndex2) <=> v130(constB29, bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v127(constB29, B) <=> v130(constB29, B)))) | (~less_3(bitIndex2)) | (v127(constB29, bitIndex2) <=> v130(constB29, bitIndex2)))),
% 14.30/9.50 inference(rewrite,[status(thm)],[])).
% 14.30/9.50 tff(7657,plain,
% 14.30/9.50 ((~![B: $i] : ((~less_3(B)) | (v127(constB29, B) <=> v130(constB29, B)))) | ((~less_3(bitIndex2)) | (v127(constB29, bitIndex2) <=> v130(constB29, bitIndex2)))),
% 14.30/9.50 inference(quant_inst,[status(thm)],[])).
% 14.30/9.50 tff(7658,plain,
% 14.30/9.50 ((~![B: $i] : ((~less_3(B)) | (v127(constB29, B) <=> v130(constB29, B)))) | (~less_3(bitIndex2)) | (v127(constB29, bitIndex2) <=> v130(constB29, bitIndex2))),
% 14.30/9.50 inference(modus_ponens,[status(thm)],[7657, 7656])).
% 14.30/9.50 tff(7659,plain,
% 14.30/9.50 (v127(constB29, bitIndex2) <=> v130(constB29, bitIndex2)),
% 14.30/9.50 inference(unit_resolution,[status(thm)],[7658, 413, 7655])).
% 14.30/9.50 tff(7660,plain,
% 14.30/9.50 (((~![VarCurr: $i] : ((~v121(VarCurr)) | ![B: $i] : ((~less_3(B)) | (v130(VarCurr, B) <=> b011(B))))) | ((~v121(constB29)) | ![B: $i] : ((~less_3(B)) | (v130(constB29, B) <=> b011(B))))) <=> ((~![VarCurr: $i] : ((~v121(VarCurr)) | ![B: $i] : ((~less_3(B)) | (v130(VarCurr, B) <=> b011(B))))) | (~v121(constB29)) | ![B: $i] : ((~less_3(B)) | (v130(constB29, B) <=> b011(B))))),
% 14.30/9.50 inference(rewrite,[status(thm)],[])).
% 14.30/9.50 tff(7661,plain,
% 14.30/9.50 ((~![VarCurr: $i] : ((~v121(VarCurr)) | ![B: $i] : ((~less_3(B)) | (v130(VarCurr, B) <=> b011(B))))) | ((~v121(constB29)) | ![B: $i] : ((~less_3(B)) | (v130(constB29, B) <=> b011(B))))),
% 14.30/9.50 inference(quant_inst,[status(thm)],[])).
% 14.30/9.50 tff(7662,plain,
% 14.30/9.50 ((~![VarCurr: $i] : ((~v121(VarCurr)) | ![B: $i] : ((~less_3(B)) | (v130(VarCurr, B) <=> b011(B))))) | (~v121(constB29)) | ![B: $i] : ((~less_3(B)) | (v130(constB29, B) <=> b011(B)))),
% 14.30/9.50 inference(modus_ponens,[status(thm)],[7661, 7660])).
% 14.30/9.50 tff(7663,plain,
% 14.30/9.50 ((~v121(constB29)) | ![B: $i] : ((~less_3(B)) | (v130(constB29, B) <=> b011(B)))),
% 14.30/9.50 inference(unit_resolution,[status(thm)],[7662, 5977])).
% 14.30/9.50 tff(7664,plain,
% 14.30/9.50 (![B: $i] : ((~less_3(B)) | (v130(constB29, B) <=> b011(B)))),
% 14.30/9.50 inference(unit_resolution,[status(thm)],[7663, 7587])).
% 14.30/9.50 tff(7665,plain,
% 14.30/9.50 (((~![B: $i] : ((~less_3(B)) | (v130(constB29, B) <=> b011(B)))) | ((~less_3(bitIndex2)) | (v130(constB29, bitIndex2) <=> b011(bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v130(constB29, B) <=> b011(B)))) | (~less_3(bitIndex2)) | (v130(constB29, bitIndex2) <=> b011(bitIndex2)))),
% 14.30/9.50 inference(rewrite,[status(thm)],[])).
% 14.30/9.50 tff(7666,plain,
% 14.30/9.50 ((~![B: $i] : ((~less_3(B)) | (v130(constB29, B) <=> b011(B)))) | ((~less_3(bitIndex2)) | (v130(constB29, bitIndex2) <=> b011(bitIndex2)))),
% 14.30/9.50 inference(quant_inst,[status(thm)],[])).
% 14.30/9.50 tff(7667,plain,
% 14.30/9.50 ((~![B: $i] : ((~less_3(B)) | (v130(constB29, B) <=> b011(B)))) | (~less_3(bitIndex2)) | (v130(constB29, bitIndex2) <=> b011(bitIndex2))),
% 14.30/9.50 inference(modus_ponens,[status(thm)],[7666, 7665])).
% 14.30/9.50 tff(7668,plain,
% 14.30/9.50 (v130(constB29, bitIndex2) <=> b011(bitIndex2)),
% 14.30/9.50 inference(unit_resolution,[status(thm)],[7667, 413, 7664])).
% 14.30/9.50 tff(7669,plain,
% 14.30/9.50 ((~(v130(constB29, bitIndex2) <=> b011(bitIndex2))) | (~v130(constB29, bitIndex2)) | b011(bitIndex2)),
% 14.30/9.50 inference(tautology,[status(thm)],[])).
% 14.30/9.50 tff(7670,plain,
% 14.30/9.50 ((~(v130(constB29, bitIndex2) <=> b011(bitIndex2))) | (~v130(constB29, bitIndex2))),
% 14.30/9.50 inference(unit_resolution,[status(thm)],[7669, 5989])).
% 14.30/9.50 tff(7671,plain,
% 14.30/9.50 (~v130(constB29, bitIndex2)),
% 14.30/9.50 inference(unit_resolution,[status(thm)],[7670, 7668])).
% 14.30/9.50 tff(7672,plain,
% 14.30/9.50 ((~(v127(constB29, bitIndex2) <=> v130(constB29, bitIndex2))) | (~v127(constB29, bitIndex2)) | v130(constB29, bitIndex2)),
% 14.30/9.50 inference(tautology,[status(thm)],[])).
% 14.30/9.50 tff(7673,plain,
% 14.30/9.50 (~v127(constB29, bitIndex2)),
% 14.30/9.50 inference(unit_resolution,[status(thm)],[7672, 7671, 7659])).
% 14.30/9.50 tff(7674,plain,
% 14.30/9.50 ((~(v129(constB30, bitIndex2) <=> v127(constB29, bitIndex2))) | (~v129(constB30, bitIndex2)) | v127(constB29, bitIndex2)),
% 14.30/9.50 inference(tautology,[status(thm)],[])).
% 14.30/9.50 tff(7675,plain,
% 14.30/9.50 (~v129(constB30, bitIndex2)),
% 14.30/9.50 inference(unit_resolution,[status(thm)],[7674, 7673, 7651])).
% 14.30/9.50 tff(7676,plain,
% 14.30/9.50 ((~(v90(constB30, bitIndex2) <=> v129(constB30, bitIndex2))) | (~v90(constB30, bitIndex2)) | v129(constB30, bitIndex2)),
% 14.30/9.50 inference(tautology,[status(thm)],[])).
% 14.30/9.50 tff(7677,plain,
% 14.30/9.50 (~v90(constB30, bitIndex2)),
% 14.30/9.50 inference(unit_resolution,[status(thm)],[7676, 7675, 7643])).
% 14.30/9.50 tff(7678,plain,
% 14.30/9.50 ((~(v90(constB31, bitIndex2) <=> v90(constB30, bitIndex2))) | (~v90(constB31, bitIndex2)) | v90(constB30, bitIndex2)),
% 14.30/9.50 inference(tautology,[status(thm)],[])).
% 14.30/9.50 tff(7679,plain,
% 14.30/9.50 (~v90(constB31, bitIndex2)),
% 14.30/9.50 inference(unit_resolution,[status(thm)],[7678, 7677, 3604])).
% 14.30/9.50 tff(7680,plain,
% 14.30/9.50 (((~![B: $i] : ((~less_3(B)) | (v90(constB31, B) <=> v90(constB30, B)))) | ((~less_3(bitIndex0)) | (v90(constB31, bitIndex0) <=> v90(constB30, bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v90(constB31, B) <=> v90(constB30, B)))) | (~less_3(bitIndex0)) | (v90(constB31, bitIndex0) <=> v90(constB30, bitIndex0)))),
% 14.30/9.50 inference(rewrite,[status(thm)],[])).
% 14.30/9.50 tff(7681,plain,
% 14.30/9.50 ((~![B: $i] : ((~less_3(B)) | (v90(constB31, B) <=> v90(constB30, B)))) | ((~less_3(bitIndex0)) | (v90(constB31, bitIndex0) <=> v90(constB30, bitIndex0)))),
% 14.30/9.50 inference(quant_inst,[status(thm)],[])).
% 14.30/9.50 tff(7682,plain,
% 14.30/9.50 ((~![B: $i] : ((~less_3(B)) | (v90(constB31, B) <=> v90(constB30, B)))) | (~less_3(bitIndex0)) | (v90(constB31, bitIndex0) <=> v90(constB30, bitIndex0))),
% 14.30/9.50 inference(modus_ponens,[status(thm)],[7681, 7680])).
% 14.30/9.50 tff(7683,plain,
% 14.30/9.50 (v90(constB31, bitIndex0) <=> v90(constB30, bitIndex0)),
% 14.30/9.50 inference(unit_resolution,[status(thm)],[7682, 5004, 3600])).
% 14.30/9.50 tff(7684,plain,
% 14.30/9.50 (((~![B: $i] : ((~less_3(B)) | (v90(constB30, B) <=> v129(constB30, B)))) | ((~less_3(bitIndex0)) | (v90(constB30, bitIndex0) <=> v129(constB30, bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v90(constB30, B) <=> v129(constB30, B)))) | (~less_3(bitIndex0)) | (v90(constB30, bitIndex0) <=> v129(constB30, bitIndex0)))),
% 14.30/9.50 inference(rewrite,[status(thm)],[])).
% 14.30/9.50 tff(7685,plain,
% 14.30/9.50 ((~![B: $i] : ((~less_3(B)) | (v90(constB30, B) <=> v129(constB30, B)))) | ((~less_3(bitIndex0)) | (v90(constB30, bitIndex0) <=> v129(constB30, bitIndex0)))),
% 14.30/9.50 inference(quant_inst,[status(thm)],[])).
% 14.30/9.50 tff(7686,plain,
% 14.30/9.50 ((~![B: $i] : ((~less_3(B)) | (v90(constB30, B) <=> v129(constB30, B)))) | (~less_3(bitIndex0)) | (v90(constB30, bitIndex0) <=> v129(constB30, bitIndex0))),
% 14.30/9.50 inference(modus_ponens,[status(thm)],[7685, 7684])).
% 14.30/9.50 tff(7687,plain,
% 14.30/9.50 (v90(constB30, bitIndex0) <=> v129(constB30, bitIndex0)),
% 14.30/9.50 inference(unit_resolution,[status(thm)],[7686, 5004, 7639])).
% 14.30/9.50 tff(7688,plain,
% 14.30/9.50 (((~![B: $i] : ((~less_3(B)) | (v129(constB30, B) <=> v127(constB29, B)))) | ((~less_3(bitIndex0)) | (v129(constB30, bitIndex0) <=> v127(constB29, bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v129(constB30, B) <=> v127(constB29, B)))) | (~less_3(bitIndex0)) | (v129(constB30, bitIndex0) <=> v127(constB29, bitIndex0)))),
% 14.30/9.50 inference(rewrite,[status(thm)],[])).
% 14.30/9.50 tff(7689,plain,
% 14.30/9.50 ((~![B: $i] : ((~less_3(B)) | (v129(constB30, B) <=> v127(constB29, B)))) | ((~less_3(bitIndex0)) | (v129(constB30, bitIndex0) <=> v127(constB29, bitIndex0)))),
% 14.30/9.50 inference(quant_inst,[status(thm)],[])).
% 14.30/9.50 tff(7690,plain,
% 14.30/9.50 ((~![B: $i] : ((~less_3(B)) | (v129(constB30, B) <=> v127(constB29, B)))) | (~less_3(bitIndex0)) | (v129(constB30, bitIndex0) <=> v127(constB29, bitIndex0))),
% 14.30/9.50 inference(modus_ponens,[status(thm)],[7689, 7688])).
% 14.30/9.50 tff(7691,plain,
% 14.30/9.50 (v129(constB30, bitIndex0) <=> v127(constB29, bitIndex0)),
% 14.30/9.50 inference(unit_resolution,[status(thm)],[7690, 5004, 7647])).
% 14.30/9.50 tff(7692,plain,
% 14.30/9.50 (((~![B: $i] : ((~less_3(B)) | (v127(constB29, B) <=> v130(constB29, B)))) | ((~less_3(bitIndex0)) | (v127(constB29, bitIndex0) <=> v130(constB29, bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v127(constB29, B) <=> v130(constB29, B)))) | (~less_3(bitIndex0)) | (v127(constB29, bitIndex0) <=> v130(constB29, bitIndex0)))),
% 14.30/9.51 inference(rewrite,[status(thm)],[])).
% 14.30/9.51 tff(7693,plain,
% 14.30/9.51 ((~![B: $i] : ((~less_3(B)) | (v127(constB29, B) <=> v130(constB29, B)))) | ((~less_3(bitIndex0)) | (v127(constB29, bitIndex0) <=> v130(constB29, bitIndex0)))),
% 14.30/9.51 inference(quant_inst,[status(thm)],[])).
% 14.30/9.51 tff(7694,plain,
% 14.30/9.51 ((~![B: $i] : ((~less_3(B)) | (v127(constB29, B) <=> v130(constB29, B)))) | (~less_3(bitIndex0)) | (v127(constB29, bitIndex0) <=> v130(constB29, bitIndex0))),
% 14.30/9.51 inference(modus_ponens,[status(thm)],[7693, 7692])).
% 14.30/9.51 tff(7695,plain,
% 14.30/9.51 (v127(constB29, bitIndex0) <=> v130(constB29, bitIndex0)),
% 14.30/9.51 inference(unit_resolution,[status(thm)],[7694, 5004, 7655])).
% 14.30/9.51 tff(7696,plain,
% 14.30/9.51 (((~![B: $i] : ((~less_3(B)) | (v130(constB29, B) <=> b011(B)))) | ((~less_3(bitIndex0)) | (v130(constB29, bitIndex0) <=> b011(bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v130(constB29, B) <=> b011(B)))) | (~less_3(bitIndex0)) | (v130(constB29, bitIndex0) <=> b011(bitIndex0)))),
% 14.30/9.51 inference(rewrite,[status(thm)],[])).
% 14.30/9.51 tff(7697,plain,
% 14.30/9.51 ((~![B: $i] : ((~less_3(B)) | (v130(constB29, B) <=> b011(B)))) | ((~less_3(bitIndex0)) | (v130(constB29, bitIndex0) <=> b011(bitIndex0)))),
% 14.30/9.51 inference(quant_inst,[status(thm)],[])).
% 14.30/9.51 tff(7698,plain,
% 14.30/9.51 ((~![B: $i] : ((~less_3(B)) | (v130(constB29, B) <=> b011(B)))) | (~less_3(bitIndex0)) | (v130(constB29, bitIndex0) <=> b011(bitIndex0))),
% 14.30/9.51 inference(modus_ponens,[status(thm)],[7697, 7696])).
% 14.30/9.51 tff(7699,plain,
% 14.30/9.51 (v130(constB29, bitIndex0) <=> b011(bitIndex0)),
% 14.30/9.51 inference(unit_resolution,[status(thm)],[7698, 5004, 7664])).
% 14.30/9.51 tff(7700,plain,
% 14.30/9.51 ((~(v130(constB29, bitIndex0) <=> b011(bitIndex0))) | v130(constB29, bitIndex0) | (~b011(bitIndex0))),
% 14.30/9.51 inference(tautology,[status(thm)],[])).
% 14.30/9.51 tff(7701,plain,
% 14.30/9.51 ((~(v130(constB29, bitIndex0) <=> b011(bitIndex0))) | v130(constB29, bitIndex0)),
% 14.30/9.51 inference(unit_resolution,[status(thm)],[7700, 6023])).
% 14.30/9.51 tff(7702,plain,
% 14.30/9.51 (v130(constB29, bitIndex0)),
% 14.30/9.51 inference(unit_resolution,[status(thm)],[7701, 7699])).
% 14.30/9.51 tff(7703,plain,
% 14.30/9.51 ((~(v127(constB29, bitIndex0) <=> v130(constB29, bitIndex0))) | v127(constB29, bitIndex0) | (~v130(constB29, bitIndex0))),
% 14.30/9.51 inference(tautology,[status(thm)],[])).
% 14.30/9.51 tff(7704,plain,
% 14.30/9.51 (v127(constB29, bitIndex0)),
% 14.30/9.51 inference(unit_resolution,[status(thm)],[7703, 7702, 7695])).
% 14.30/9.51 tff(7705,plain,
% 14.30/9.51 ((~(v129(constB30, bitIndex0) <=> v127(constB29, bitIndex0))) | v129(constB30, bitIndex0) | (~v127(constB29, bitIndex0))),
% 14.30/9.51 inference(tautology,[status(thm)],[])).
% 14.30/9.51 tff(7706,plain,
% 14.30/9.51 (v129(constB30, bitIndex0)),
% 14.30/9.51 inference(unit_resolution,[status(thm)],[7705, 7704, 7691])).
% 14.30/9.51 tff(7707,plain,
% 14.30/9.51 ((~(v90(constB30, bitIndex0) <=> v129(constB30, bitIndex0))) | v90(constB30, bitIndex0) | (~v129(constB30, bitIndex0))),
% 14.30/9.51 inference(tautology,[status(thm)],[])).
% 14.30/9.51 tff(7708,plain,
% 14.30/9.51 (v90(constB30, bitIndex0)),
% 14.30/9.51 inference(unit_resolution,[status(thm)],[7707, 7706, 7687])).
% 14.30/9.51 tff(7709,plain,
% 14.30/9.51 ((~(v90(constB31, bitIndex0) <=> v90(constB30, bitIndex0))) | v90(constB31, bitIndex0) | (~v90(constB30, bitIndex0))),
% 14.30/9.51 inference(tautology,[status(thm)],[])).
% 14.30/9.51 tff(7710,plain,
% 14.30/9.51 (v90(constB31, bitIndex0)),
% 14.30/9.51 inference(unit_resolution,[status(thm)],[7709, 7708, 7683])).
% 14.30/9.51 tff(7711,plain,
% 14.30/9.51 (((~![B: $i] : ((~less_3(B)) | (v90(constB31, B) <=> v90(constB30, B)))) | ((~less_3(bitIndex1)) | (v90(constB31, bitIndex1) <=> v90(constB30, bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v90(constB31, B) <=> v90(constB30, B)))) | (~less_3(bitIndex1)) | (v90(constB31, bitIndex1) <=> v90(constB30, bitIndex1)))),
% 14.30/9.51 inference(rewrite,[status(thm)],[])).
% 14.30/9.51 tff(7712,plain,
% 14.30/9.51 ((~![B: $i] : ((~less_3(B)) | (v90(constB31, B) <=> v90(constB30, B)))) | ((~less_3(bitIndex1)) | (v90(constB31, bitIndex1) <=> v90(constB30, bitIndex1)))),
% 14.30/9.51 inference(quant_inst,[status(thm)],[])).
% 14.30/9.51 tff(7713,plain,
% 14.30/9.51 ((~![B: $i] : ((~less_3(B)) | (v90(constB31, B) <=> v90(constB30, B)))) | (~less_3(bitIndex1)) | (v90(constB31, bitIndex1) <=> v90(constB30, bitIndex1))),
% 14.30/9.51 inference(modus_ponens,[status(thm)],[7712, 7711])).
% 14.30/9.51 tff(7714,plain,
% 14.30/9.51 (v90(constB31, bitIndex1) <=> v90(constB30, bitIndex1)),
% 14.30/9.51 inference(unit_resolution,[status(thm)],[7713, 5017, 3600])).
% 14.30/9.51 tff(7715,plain,
% 14.30/9.51 (((~![B: $i] : ((~less_3(B)) | (v90(constB30, B) <=> v129(constB30, B)))) | ((~less_3(bitIndex1)) | (v90(constB30, bitIndex1) <=> v129(constB30, bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v90(constB30, B) <=> v129(constB30, B)))) | (~less_3(bitIndex1)) | (v90(constB30, bitIndex1) <=> v129(constB30, bitIndex1)))),
% 14.30/9.51 inference(rewrite,[status(thm)],[])).
% 14.30/9.51 tff(7716,plain,
% 14.30/9.51 ((~![B: $i] : ((~less_3(B)) | (v90(constB30, B) <=> v129(constB30, B)))) | ((~less_3(bitIndex1)) | (v90(constB30, bitIndex1) <=> v129(constB30, bitIndex1)))),
% 14.30/9.51 inference(quant_inst,[status(thm)],[])).
% 14.30/9.51 tff(7717,plain,
% 14.30/9.51 ((~![B: $i] : ((~less_3(B)) | (v90(constB30, B) <=> v129(constB30, B)))) | (~less_3(bitIndex1)) | (v90(constB30, bitIndex1) <=> v129(constB30, bitIndex1))),
% 14.30/9.51 inference(modus_ponens,[status(thm)],[7716, 7715])).
% 14.30/9.51 tff(7718,plain,
% 14.30/9.51 (v90(constB30, bitIndex1) <=> v129(constB30, bitIndex1)),
% 14.30/9.51 inference(unit_resolution,[status(thm)],[7717, 5017, 7639])).
% 14.30/9.51 tff(7719,plain,
% 14.30/9.51 (((~![B: $i] : ((~less_3(B)) | (v129(constB30, B) <=> v127(constB29, B)))) | ((~less_3(bitIndex1)) | (v129(constB30, bitIndex1) <=> v127(constB29, bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v129(constB30, B) <=> v127(constB29, B)))) | (~less_3(bitIndex1)) | (v129(constB30, bitIndex1) <=> v127(constB29, bitIndex1)))),
% 14.30/9.51 inference(rewrite,[status(thm)],[])).
% 14.30/9.51 tff(7720,plain,
% 14.30/9.51 ((~![B: $i] : ((~less_3(B)) | (v129(constB30, B) <=> v127(constB29, B)))) | ((~less_3(bitIndex1)) | (v129(constB30, bitIndex1) <=> v127(constB29, bitIndex1)))),
% 14.30/9.51 inference(quant_inst,[status(thm)],[])).
% 14.30/9.51 tff(7721,plain,
% 14.30/9.51 ((~![B: $i] : ((~less_3(B)) | (v129(constB30, B) <=> v127(constB29, B)))) | (~less_3(bitIndex1)) | (v129(constB30, bitIndex1) <=> v127(constB29, bitIndex1))),
% 14.30/9.51 inference(modus_ponens,[status(thm)],[7720, 7719])).
% 14.30/9.51 tff(7722,plain,
% 14.30/9.51 (v129(constB30, bitIndex1) <=> v127(constB29, bitIndex1)),
% 14.30/9.51 inference(unit_resolution,[status(thm)],[7721, 5017, 7647])).
% 14.30/9.51 tff(7723,plain,
% 14.30/9.51 (((~![B: $i] : ((~less_3(B)) | (v127(constB29, B) <=> v130(constB29, B)))) | ((~less_3(bitIndex1)) | (v127(constB29, bitIndex1) <=> v130(constB29, bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v127(constB29, B) <=> v130(constB29, B)))) | (~less_3(bitIndex1)) | (v127(constB29, bitIndex1) <=> v130(constB29, bitIndex1)))),
% 14.30/9.51 inference(rewrite,[status(thm)],[])).
% 14.30/9.51 tff(7724,plain,
% 14.30/9.51 ((~![B: $i] : ((~less_3(B)) | (v127(constB29, B) <=> v130(constB29, B)))) | ((~less_3(bitIndex1)) | (v127(constB29, bitIndex1) <=> v130(constB29, bitIndex1)))),
% 14.30/9.51 inference(quant_inst,[status(thm)],[])).
% 14.30/9.51 tff(7725,plain,
% 14.30/9.51 ((~![B: $i] : ((~less_3(B)) | (v127(constB29, B) <=> v130(constB29, B)))) | (~less_3(bitIndex1)) | (v127(constB29, bitIndex1) <=> v130(constB29, bitIndex1))),
% 14.30/9.51 inference(modus_ponens,[status(thm)],[7724, 7723])).
% 14.30/9.51 tff(7726,plain,
% 14.30/9.51 (v127(constB29, bitIndex1) <=> v130(constB29, bitIndex1)),
% 14.30/9.51 inference(unit_resolution,[status(thm)],[7725, 5017, 7655])).
% 14.30/9.51 tff(7727,plain,
% 14.30/9.51 (((~![B: $i] : ((~less_3(B)) | (v130(constB29, B) <=> b011(B)))) | ((~less_3(bitIndex1)) | (v130(constB29, bitIndex1) <=> b011(bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v130(constB29, B) <=> b011(B)))) | (~less_3(bitIndex1)) | (v130(constB29, bitIndex1) <=> b011(bitIndex1)))),
% 14.30/9.51 inference(rewrite,[status(thm)],[])).
% 14.30/9.51 tff(7728,plain,
% 14.30/9.51 ((~![B: $i] : ((~less_3(B)) | (v130(constB29, B) <=> b011(B)))) | ((~less_3(bitIndex1)) | (v130(constB29, bitIndex1) <=> b011(bitIndex1)))),
% 14.30/9.51 inference(quant_inst,[status(thm)],[])).
% 14.30/9.51 tff(7729,plain,
% 14.30/9.51 ((~![B: $i] : ((~less_3(B)) | (v130(constB29, B) <=> b011(B)))) | (~less_3(bitIndex1)) | (v130(constB29, bitIndex1) <=> b011(bitIndex1))),
% 14.30/9.51 inference(modus_ponens,[status(thm)],[7728, 7727])).
% 14.30/9.51 tff(7730,plain,
% 14.30/9.51 (v130(constB29, bitIndex1) <=> b011(bitIndex1)),
% 14.30/9.51 inference(unit_resolution,[status(thm)],[7729, 5017, 7664])).
% 14.30/9.51 tff(7731,plain,
% 14.30/9.51 ((~(v130(constB29, bitIndex1) <=> b011(bitIndex1))) | v130(constB29, bitIndex1) | (~b011(bitIndex1))),
% 14.30/9.51 inference(tautology,[status(thm)],[])).
% 14.30/9.51 tff(7732,plain,
% 14.30/9.51 ((~(v130(constB29, bitIndex1) <=> b011(bitIndex1))) | v130(constB29, bitIndex1)),
% 14.30/9.51 inference(unit_resolution,[status(thm)],[7731, 6057])).
% 14.30/9.51 tff(7733,plain,
% 14.30/9.51 (v130(constB29, bitIndex1)),
% 14.30/9.51 inference(unit_resolution,[status(thm)],[7732, 7730])).
% 14.30/9.51 tff(7734,plain,
% 14.30/9.51 ((~(v127(constB29, bitIndex1) <=> v130(constB29, bitIndex1))) | v127(constB29, bitIndex1) | (~v130(constB29, bitIndex1))),
% 14.30/9.51 inference(tautology,[status(thm)],[])).
% 14.30/9.51 tff(7735,plain,
% 14.30/9.51 (v127(constB29, bitIndex1)),
% 14.30/9.51 inference(unit_resolution,[status(thm)],[7734, 7733, 7726])).
% 14.30/9.51 tff(7736,plain,
% 14.30/9.51 ((~(v129(constB30, bitIndex1) <=> v127(constB29, bitIndex1))) | v129(constB30, bitIndex1) | (~v127(constB29, bitIndex1))),
% 14.30/9.51 inference(tautology,[status(thm)],[])).
% 14.30/9.51 tff(7737,plain,
% 14.30/9.51 (v129(constB30, bitIndex1)),
% 14.30/9.51 inference(unit_resolution,[status(thm)],[7736, 7735, 7722])).
% 14.30/9.51 tff(7738,plain,
% 14.30/9.51 ((~(v90(constB30, bitIndex1) <=> v129(constB30, bitIndex1))) | v90(constB30, bitIndex1) | (~v129(constB30, bitIndex1))),
% 14.30/9.51 inference(tautology,[status(thm)],[])).
% 14.30/9.51 tff(7739,plain,
% 14.30/9.51 (v90(constB30, bitIndex1)),
% 14.30/9.51 inference(unit_resolution,[status(thm)],[7738, 7737, 7718])).
% 14.30/9.51 tff(7740,plain,
% 14.30/9.51 ((~(v90(constB31, bitIndex1) <=> v90(constB30, bitIndex1))) | v90(constB31, bitIndex1) | (~v90(constB30, bitIndex1))),
% 14.30/9.51 inference(tautology,[status(thm)],[])).
% 14.30/9.51 tff(7741,plain,
% 14.30/9.51 (v90(constB31, bitIndex1)),
% 14.30/9.51 inference(unit_resolution,[status(thm)],[7740, 7739, 7714])).
% 14.30/9.51 tff(7742,plain,
% 14.30/9.51 ((~(v90(constB31, bitIndex2) | (~v90(constB31, bitIndex1)) | (~v90(constB31, bitIndex0)))) | v90(constB31, bitIndex2) | (~v90(constB31, bitIndex1)) | (~v90(constB31, bitIndex0))),
% 14.30/9.51 inference(tautology,[status(thm)],[])).
% 14.30/9.51 tff(7743,plain,
% 14.30/9.51 (~(v90(constB31, bitIndex2) | (~v90(constB31, bitIndex1)) | (~v90(constB31, bitIndex0)))),
% 14.30/9.51 inference(unit_resolution,[status(thm)],[7742, 7741, 7710, 7679])).
% 14.30/9.51 tff(7744,plain,
% 14.30/9.51 ((~(v122(constB31) <=> (~(v90(constB31, bitIndex2) | (~v90(constB31, bitIndex1)) | (~v90(constB31, bitIndex0)))))) | v122(constB31) | (v90(constB31, bitIndex2) | (~v90(constB31, bitIndex1)) | (~v90(constB31, bitIndex0)))),
% 14.30/9.51 inference(tautology,[status(thm)],[])).
% 14.30/9.51 tff(7745,plain,
% 14.30/9.51 (v122(constB31)),
% 14.30/9.51 inference(unit_resolution,[status(thm)],[7744, 7743, 3572])).
% 14.30/9.51 tff(7746,plain,
% 14.30/9.51 ((v117(constB31) | v122(constB31)) | (~v122(constB31))),
% 14.30/9.51 inference(tautology,[status(thm)],[])).
% 14.30/9.51 tff(7747,plain,
% 14.30/9.51 (v117(constB31) | v122(constB31)),
% 14.30/9.51 inference(unit_resolution,[status(thm)],[7746, 7745])).
% 14.30/9.51 tff(7748,plain,
% 14.30/9.51 ((~(v116(constB31) <=> (v117(constB31) | v122(constB31)))) | v116(constB31) | (~(v117(constB31) | v122(constB31)))),
% 14.30/9.51 inference(tautology,[status(thm)],[])).
% 14.30/9.51 tff(7749,plain,
% 14.30/9.51 (v116(constB31)),
% 14.30/9.51 inference(unit_resolution,[status(thm)],[7748, 7747, 3565])).
% 14.30/9.51 tff(7750,plain,
% 14.30/9.51 ((v116(constB31) | v123(constB31)) | (~v116(constB31))),
% 14.30/9.51 inference(tautology,[status(thm)],[])).
% 14.30/9.51 tff(7751,plain,
% 14.30/9.51 (v116(constB31) | v123(constB31)),
% 14.30/9.51 inference(unit_resolution,[status(thm)],[7750, 7749])).
% 14.30/9.51 tff(7752,plain,
% 14.30/9.51 ((~(v115(constB31) <=> (v116(constB31) | v123(constB31)))) | v115(constB31) | (~(v116(constB31) | v123(constB31)))),
% 14.30/9.51 inference(tautology,[status(thm)],[])).
% 14.30/9.51 tff(7753,plain,
% 14.30/9.51 (v115(constB31)),
% 14.30/9.51 inference(unit_resolution,[status(thm)],[7752, 7751, 3563])).
% 14.30/9.51 tff(7754,plain,
% 14.30/9.51 ((v115(constB31) | v124(constB31)) | (~v115(constB31))),
% 14.30/9.51 inference(tautology,[status(thm)],[])).
% 14.30/9.51 tff(7755,plain,
% 14.30/9.51 (v115(constB31) | v124(constB31)),
% 14.30/9.51 inference(unit_resolution,[status(thm)],[7754, 7753])).
% 14.30/9.51 tff(7756,plain,
% 14.30/9.51 ((~(v114(constB31) <=> (v115(constB31) | v124(constB31)))) | v114(constB31) | (~(v115(constB31) | v124(constB31)))),
% 14.30/9.51 inference(tautology,[status(thm)],[])).
% 14.30/9.51 tff(7757,plain,
% 14.30/9.51 (v114(constB31)),
% 14.30/9.51 inference(unit_resolution,[status(thm)],[7756, 7755, 3561])).
% 14.30/9.51 tff(7758,plain,
% 14.30/9.51 ((v114(constB31) | v125(constB31)) | (~v114(constB31))),
% 14.30/9.51 inference(tautology,[status(thm)],[])).
% 14.30/9.51 tff(7759,plain,
% 14.30/9.51 (v114(constB31) | v125(constB31)),
% 14.30/9.51 inference(unit_resolution,[status(thm)],[7758, 7757])).
% 14.30/9.51 tff(7760,plain,
% 14.30/9.51 ((~(v113(constB31) <=> (v114(constB31) | v125(constB31)))) | v113(constB31) | (~(v114(constB31) | v125(constB31)))),
% 14.30/9.51 inference(tautology,[status(thm)],[])).
% 14.30/9.51 tff(7761,plain,
% 14.30/9.51 (v113(constB31)),
% 14.30/9.51 inference(unit_resolution,[status(thm)],[7760, 7759, 3559])).
% 14.30/9.51 tff(7762,plain,
% 14.30/9.51 ((~![VarCurr: $i] : ((~v126(VarCurr)) <=> v111(VarCurr))) | ((~v126(constB31)) <=> v111(constB31))),
% 14.30/9.51 inference(quant_inst,[status(thm)],[])).
% 14.30/9.51 tff(7763,plain,
% 14.30/9.51 ((~v126(constB31)) <=> v111(constB31)),
% 14.30/9.51 inference(unit_resolution,[status(thm)],[7762, 5074])).
% 14.30/9.51 tff(7764,plain,
% 14.30/9.51 ((~![VarCurr: $i] : (v111(VarCurr) <=> v26(VarCurr))) | (v111(constB31) <=> v26(constB31))),
% 14.30/9.51 inference(quant_inst,[status(thm)],[])).
% 14.30/9.51 tff(7765,plain,
% 14.30/9.51 (v111(constB31) <=> v26(constB31)),
% 14.30/9.51 inference(unit_resolution,[status(thm)],[7764, 5086])).
% 14.30/9.51 tff(7766,plain,
% 14.30/9.51 ((~![VarCurr: $i] : (~v26(VarCurr))) | (~v26(constB31))),
% 14.30/9.51 inference(quant_inst,[status(thm)],[])).
% 14.30/9.51 tff(7767,plain,
% 14.30/9.51 (~v26(constB31)),
% 14.30/9.51 inference(unit_resolution,[status(thm)],[7766, 5098])).
% 14.30/9.51 tff(7768,plain,
% 14.30/9.51 ((~(v111(constB31) <=> v26(constB31))) | (~v111(constB31)) | v26(constB31)),
% 14.30/9.51 inference(tautology,[status(thm)],[])).
% 14.30/9.51 tff(7769,plain,
% 14.30/9.51 ((~(v111(constB31) <=> v26(constB31))) | (~v111(constB31))),
% 14.30/9.51 inference(unit_resolution,[status(thm)],[7768, 7767])).
% 14.30/9.51 tff(7770,plain,
% 14.30/9.51 (~v111(constB31)),
% 14.30/9.51 inference(unit_resolution,[status(thm)],[7769, 7765])).
% 14.30/9.51 tff(7771,plain,
% 14.30/9.51 ((~((~v126(constB31)) <=> v111(constB31))) | v126(constB31) | v111(constB31)),
% 14.30/9.51 inference(tautology,[status(thm)],[])).
% 14.30/9.51 tff(7772,plain,
% 14.30/9.51 ((~((~v126(constB31)) <=> v111(constB31))) | v126(constB31)),
% 14.30/9.51 inference(unit_resolution,[status(thm)],[7771, 7770])).
% 14.30/9.51 tff(7773,plain,
% 14.30/9.51 (v126(constB31)),
% 14.30/9.51 inference(unit_resolution,[status(thm)],[7772, 7763])).
% 14.30/9.51 tff(7774,plain,
% 14.30/9.51 ((~((~v113(constB31)) | (~v126(constB31)))) | (~v113(constB31)) | (~v126(constB31))),
% 14.30/9.51 inference(tautology,[status(thm)],[])).
% 14.30/9.51 tff(7775,plain,
% 14.30/9.51 ((~((~v113(constB31)) | (~v126(constB31)))) | (~v113(constB31))),
% 14.30/9.51 inference(unit_resolution,[status(thm)],[7774, 7773])).
% 14.30/9.51 tff(7776,plain,
% 14.30/9.51 (~((~v113(constB31)) | (~v126(constB31)))),
% 14.30/9.51 inference(unit_resolution,[status(thm)],[7775, 7761])).
% 14.30/9.51 tff(7777,plain,
% 14.30/9.51 ((~(v112(constB31) <=> (~((~v113(constB31)) | (~v126(constB31)))))) | v112(constB31) | ((~v113(constB31)) | (~v126(constB31)))),
% 14.30/9.51 inference(tautology,[status(thm)],[])).
% 14.30/9.51 tff(7778,plain,
% 14.30/9.51 (v112(constB31)),
% 14.30/9.51 inference(unit_resolution,[status(thm)],[7777, 7776, 3557])).
% 14.30/9.51 tff(7779,plain,
% 14.30/9.51 ((v111(constB31) | v112(constB31)) | (~v112(constB31))),
% 14.30/9.51 inference(tautology,[status(thm)],[])).
% 14.30/9.51 tff(7780,plain,
% 14.30/9.51 (v111(constB31) | v112(constB31)),
% 14.30/9.51 inference(unit_resolution,[status(thm)],[7779, 7778])).
% 14.30/9.51 tff(7781,plain,
% 14.30/9.51 ((~(v108(constB31) <=> (v111(constB31) | v112(constB31)))) | v108(constB31) | (~(v111(constB31) | v112(constB31)))),
% 14.30/9.51 inference(tautology,[status(thm)],[])).
% 14.30/9.51 tff(7782,plain,
% 14.30/9.51 (v108(constB31)),
% 14.30/9.51 inference(unit_resolution,[status(thm)],[7781, 7780, 3555])).
% 14.30/9.51 tff(7783,plain,
% 14.30/9.51 ((~(v110(constB32) <=> v108(constB31))) | v110(constB32) | (~v108(constB31))),
% 14.30/9.51 inference(tautology,[status(thm)],[])).
% 14.30/9.51 tff(7784,plain,
% 14.30/9.51 (v110(constB32)),
% 14.30/9.51 inference(unit_resolution,[status(thm)],[7783, 7782, 3553])).
% 14.30/9.51 tff(7785,plain,
% 14.30/9.51 ((~((~v101(constB32)) | (~v110(constB32)))) | (~v101(constB32)) | (~v110(constB32))),
% 14.30/9.51 inference(tautology,[status(thm)],[])).
% 14.30/9.51 tff(7786,plain,
% 14.30/9.51 (~((~v101(constB32)) | (~v110(constB32)))),
% 14.30/9.51 inference(unit_resolution,[status(thm)],[7785, 7784, 3549])).
% 14.30/9.51 tff(7787,plain,
% 14.30/9.51 ((~(v100(constB32) <=> (~((~v101(constB32)) | (~v110(constB32)))))) | v100(constB32) | ((~v101(constB32)) | (~v110(constB32)))),
% 14.30/9.51 inference(tautology,[status(thm)],[])).
% 14.30/9.51 tff(7788,plain,
% 14.30/9.51 (v100(constB32)),
% 14.30/9.51 inference(unit_resolution,[status(thm)],[7787, 7786, 3518])).
% 14.30/9.51 tff(7789,plain,
% 14.30/9.51 (((~![VarNext: $i] : ((~v100(VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v129(VarNext, B))))) | ((~v100(constB32)) | ![B: $i] : ((~less_3(B)) | (v90(constB32, B) <=> v129(constB32, B))))) <=> ((~![VarNext: $i] : ((~v100(VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v129(VarNext, B))))) | (~v100(constB32)) | ![B: $i] : ((~less_3(B)) | (v90(constB32, B) <=> v129(constB32, B))))),
% 14.30/9.51 inference(rewrite,[status(thm)],[])).
% 14.30/9.51 tff(7790,plain,
% 14.30/9.51 ((~![VarNext: $i] : ((~v100(VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v129(VarNext, B))))) | ((~v100(constB32)) | ![B: $i] : ((~less_3(B)) | (v90(constB32, B) <=> v129(constB32, B))))),
% 14.30/9.51 inference(quant_inst,[status(thm)],[])).
% 14.30/9.51 tff(7791,plain,
% 14.30/9.51 ((~![VarNext: $i] : ((~v100(VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v129(VarNext, B))))) | (~v100(constB32)) | ![B: $i] : ((~less_3(B)) | (v90(constB32, B) <=> v129(constB32, B)))),
% 14.30/9.51 inference(modus_ponens,[status(thm)],[7790, 7789])).
% 14.30/9.51 tff(7792,plain,
% 14.30/9.51 ((~v100(constB32)) | ![B: $i] : ((~less_3(B)) | (v90(constB32, B) <=> v129(constB32, B)))),
% 14.30/9.51 inference(unit_resolution,[status(thm)],[7791, 5134])).
% 14.30/9.51 tff(7793,plain,
% 14.30/9.51 (![B: $i] : ((~less_3(B)) | (v90(constB32, B) <=> v129(constB32, B)))),
% 14.30/9.51 inference(unit_resolution,[status(thm)],[7792, 7788])).
% 14.30/9.51 tff(7794,plain,
% 14.30/9.51 (((~![B: $i] : ((~less_3(B)) | (v90(constB32, B) <=> v129(constB32, B)))) | ((~less_3(bitIndex2)) | (v90(constB32, bitIndex2) <=> v129(constB32, bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v90(constB32, B) <=> v129(constB32, B)))) | (~less_3(bitIndex2)) | (v90(constB32, bitIndex2) <=> v129(constB32, bitIndex2)))),
% 14.30/9.51 inference(rewrite,[status(thm)],[])).
% 14.30/9.51 tff(7795,plain,
% 14.30/9.51 ((~![B: $i] : ((~less_3(B)) | (v90(constB32, B) <=> v129(constB32, B)))) | ((~less_3(bitIndex2)) | (v90(constB32, bitIndex2) <=> v129(constB32, bitIndex2)))),
% 14.30/9.51 inference(quant_inst,[status(thm)],[])).
% 14.30/9.51 tff(7796,plain,
% 14.30/9.51 ((~![B: $i] : ((~less_3(B)) | (v90(constB32, B) <=> v129(constB32, B)))) | (~less_3(bitIndex2)) | (v90(constB32, bitIndex2) <=> v129(constB32, bitIndex2))),
% 14.30/9.51 inference(modus_ponens,[status(thm)],[7795, 7794])).
% 14.30/9.51 tff(7797,plain,
% 14.30/9.51 (v90(constB32, bitIndex2) <=> v129(constB32, bitIndex2)),
% 14.30/9.51 inference(unit_resolution,[status(thm)],[7796, 413, 7793])).
% 14.30/9.51 tff(7798,plain,
% 14.30/9.51 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v129(VarNext, B) <=> v127(VarCurr, B))))) | ((~nextState(constB31, constB32)) | ![B: $i] : ((~less_3(B)) | (v129(constB32, B) <=> v127(constB31, B))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v129(VarNext, B) <=> v127(VarCurr, B))))) | (~nextState(constB31, constB32)) | ![B: $i] : ((~less_3(B)) | (v129(constB32, B) <=> v127(constB31, B))))),
% 14.30/9.51 inference(rewrite,[status(thm)],[])).
% 14.30/9.51 tff(7799,plain,
% 14.30/9.51 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v129(VarNext, B) <=> v127(VarCurr, B))))) | ((~nextState(constB31, constB32)) | ![B: $i] : ((~less_3(B)) | (v129(constB32, B) <=> v127(constB31, B))))),
% 14.30/9.51 inference(quant_inst,[status(thm)],[])).
% 14.30/9.51 tff(7800,plain,
% 14.30/9.51 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v129(VarNext, B) <=> v127(VarCurr, B))))) | (~nextState(constB31, constB32)) | ![B: $i] : ((~less_3(B)) | (v129(constB32, B) <=> v127(constB31, B)))),
% 14.30/9.51 inference(modus_ponens,[status(thm)],[7799, 7798])).
% 14.30/9.51 tff(7801,plain,
% 14.30/9.51 (![B: $i] : ((~less_3(B)) | (v129(constB32, B) <=> v127(constB31, B)))),
% 14.30/9.51 inference(unit_resolution,[status(thm)],[7800, 3514, 5156])).
% 14.30/9.51 tff(7802,plain,
% 14.30/9.51 (((~![B: $i] : ((~less_3(B)) | (v129(constB32, B) <=> v127(constB31, B)))) | ((~less_3(bitIndex2)) | (v129(constB32, bitIndex2) <=> v127(constB31, bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v129(constB32, B) <=> v127(constB31, B)))) | (~less_3(bitIndex2)) | (v129(constB32, bitIndex2) <=> v127(constB31, bitIndex2)))),
% 14.30/9.51 inference(rewrite,[status(thm)],[])).
% 14.30/9.51 tff(7803,plain,
% 14.30/9.51 ((~![B: $i] : ((~less_3(B)) | (v129(constB32, B) <=> v127(constB31, B)))) | ((~less_3(bitIndex2)) | (v129(constB32, bitIndex2) <=> v127(constB31, bitIndex2)))),
% 14.30/9.51 inference(quant_inst,[status(thm)],[])).
% 14.30/9.51 tff(7804,plain,
% 14.30/9.51 ((~![B: $i] : ((~less_3(B)) | (v129(constB32, B) <=> v127(constB31, B)))) | (~less_3(bitIndex2)) | (v129(constB32, bitIndex2) <=> v127(constB31, bitIndex2))),
% 14.30/9.51 inference(modus_ponens,[status(thm)],[7803, 7802])).
% 14.30/9.51 tff(7805,plain,
% 14.30/9.51 (v129(constB32, bitIndex2) <=> v127(constB31, bitIndex2)),
% 14.30/9.51 inference(unit_resolution,[status(thm)],[7804, 413, 7801])).
% 14.30/9.51 tff(7806,plain,
% 14.30/9.51 (((~![VarCurr: $i] : (v111(VarCurr) | ![B: $i] : ((~less_3(B)) | (v127(VarCurr, B) <=> v130(VarCurr, B))))) | (v111(constB31) | ![B: $i] : ((~less_3(B)) | (v127(constB31, B) <=> v130(constB31, B))))) <=> ((~![VarCurr: $i] : (v111(VarCurr) | ![B: $i] : ((~less_3(B)) | (v127(VarCurr, B) <=> v130(VarCurr, B))))) | v111(constB31) | ![B: $i] : ((~less_3(B)) | (v127(constB31, B) <=> v130(constB31, B))))),
% 14.30/9.51 inference(rewrite,[status(thm)],[])).
% 14.30/9.51 tff(7807,plain,
% 14.30/9.51 ((~![VarCurr: $i] : (v111(VarCurr) | ![B: $i] : ((~less_3(B)) | (v127(VarCurr, B) <=> v130(VarCurr, B))))) | (v111(constB31) | ![B: $i] : ((~less_3(B)) | (v127(constB31, B) <=> v130(constB31, B))))),
% 14.30/9.51 inference(quant_inst,[status(thm)],[])).
% 14.30/9.51 tff(7808,plain,
% 14.30/9.51 ((~![VarCurr: $i] : (v111(VarCurr) | ![B: $i] : ((~less_3(B)) | (v127(VarCurr, B) <=> v130(VarCurr, B))))) | v111(constB31) | ![B: $i] : ((~less_3(B)) | (v127(constB31, B) <=> v130(constB31, B)))),
% 14.30/9.51 inference(modus_ponens,[status(thm)],[7807, 7806])).
% 14.30/9.51 tff(7809,plain,
% 14.30/9.51 (![B: $i] : ((~less_3(B)) | (v127(constB31, B) <=> v130(constB31, B)))),
% 14.30/9.51 inference(unit_resolution,[status(thm)],[7808, 5177, 7770])).
% 14.30/9.51 tff(7810,plain,
% 14.30/9.51 (((~![B: $i] : ((~less_3(B)) | (v127(constB31, B) <=> v130(constB31, B)))) | ((~less_3(bitIndex2)) | (v127(constB31, bitIndex2) <=> v130(constB31, bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v127(constB31, B) <=> v130(constB31, B)))) | (~less_3(bitIndex2)) | (v127(constB31, bitIndex2) <=> v130(constB31, bitIndex2)))),
% 14.30/9.51 inference(rewrite,[status(thm)],[])).
% 14.30/9.51 tff(7811,plain,
% 14.30/9.51 ((~![B: $i] : ((~less_3(B)) | (v127(constB31, B) <=> v130(constB31, B)))) | ((~less_3(bitIndex2)) | (v127(constB31, bitIndex2) <=> v130(constB31, bitIndex2)))),
% 14.30/9.51 inference(quant_inst,[status(thm)],[])).
% 14.30/9.51 tff(7812,plain,
% 14.30/9.51 ((~![B: $i] : ((~less_3(B)) | (v127(constB31, B) <=> v130(constB31, B)))) | (~less_3(bitIndex2)) | (v127(constB31, bitIndex2) <=> v130(constB31, bitIndex2))),
% 14.30/9.51 inference(modus_ponens,[status(thm)],[7811, 7810])).
% 14.30/9.51 tff(7813,plain,
% 14.30/9.51 (v127(constB31, bitIndex2) <=> v130(constB31, bitIndex2)),
% 14.30/9.51 inference(unit_resolution,[status(thm)],[7812, 413, 7809])).
% 14.30/9.51 tff(7814,plain,
% 14.30/9.51 (((~![VarCurr: $i] : ((~v122(VarCurr)) | ![B: $i] : ((~less_3(B)) | (v130(VarCurr, B) <=> b100(B))))) | ((~v122(constB31)) | ![B: $i] : ((~less_3(B)) | (v130(constB31, B) <=> b100(B))))) <=> ((~![VarCurr: $i] : ((~v122(VarCurr)) | ![B: $i] : ((~less_3(B)) | (v130(VarCurr, B) <=> b100(B))))) | (~v122(constB31)) | ![B: $i] : ((~less_3(B)) | (v130(constB31, B) <=> b100(B))))),
% 14.30/9.51 inference(rewrite,[status(thm)],[])).
% 14.30/9.51 tff(7815,plain,
% 14.30/9.51 ((~![VarCurr: $i] : ((~v122(VarCurr)) | ![B: $i] : ((~less_3(B)) | (v130(VarCurr, B) <=> b100(B))))) | ((~v122(constB31)) | ![B: $i] : ((~less_3(B)) | (v130(constB31, B) <=> b100(B))))),
% 14.30/9.51 inference(quant_inst,[status(thm)],[])).
% 14.30/9.51 tff(7816,plain,
% 14.30/9.51 ((~![VarCurr: $i] : ((~v122(VarCurr)) | ![B: $i] : ((~less_3(B)) | (v130(VarCurr, B) <=> b100(B))))) | (~v122(constB31)) | ![B: $i] : ((~less_3(B)) | (v130(constB31, B) <=> b100(B)))),
% 14.30/9.51 inference(modus_ponens,[status(thm)],[7815, 7814])).
% 14.30/9.51 tff(7817,plain,
% 14.30/9.51 ((~v122(constB31)) | ![B: $i] : ((~less_3(B)) | (v130(constB31, B) <=> b100(B)))),
% 14.30/9.51 inference(unit_resolution,[status(thm)],[7816, 6153])).
% 14.30/9.51 tff(7818,plain,
% 14.30/9.51 (![B: $i] : ((~less_3(B)) | (v130(constB31, B) <=> b100(B)))),
% 14.30/9.51 inference(unit_resolution,[status(thm)],[7817, 7745])).
% 14.30/9.51 tff(7819,plain,
% 14.30/9.51 (((~![B: $i] : ((~less_3(B)) | (v130(constB31, B) <=> b100(B)))) | ((~less_3(bitIndex2)) | (v130(constB31, bitIndex2) <=> b100(bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v130(constB31, B) <=> b100(B)))) | (~less_3(bitIndex2)) | (v130(constB31, bitIndex2) <=> b100(bitIndex2)))),
% 14.30/9.51 inference(rewrite,[status(thm)],[])).
% 14.30/9.51 tff(7820,plain,
% 14.30/9.51 ((~![B: $i] : ((~less_3(B)) | (v130(constB31, B) <=> b100(B)))) | ((~less_3(bitIndex2)) | (v130(constB31, bitIndex2) <=> b100(bitIndex2)))),
% 14.30/9.51 inference(quant_inst,[status(thm)],[])).
% 14.30/9.51 tff(7821,plain,
% 14.30/9.51 ((~![B: $i] : ((~less_3(B)) | (v130(constB31, B) <=> b100(B)))) | (~less_3(bitIndex2)) | (v130(constB31, bitIndex2) <=> b100(bitIndex2))),
% 14.30/9.51 inference(modus_ponens,[status(thm)],[7820, 7819])).
% 14.30/9.51 tff(7822,plain,
% 14.30/9.51 (v130(constB31, bitIndex2) <=> b100(bitIndex2)),
% 14.30/9.51 inference(unit_resolution,[status(thm)],[7821, 413, 7818])).
% 14.30/9.51 tff(7823,plain,
% 14.30/9.51 ((~(v130(constB31, bitIndex2) <=> b100(bitIndex2))) | v130(constB31, bitIndex2) | (~b100(bitIndex2))),
% 14.30/9.51 inference(tautology,[status(thm)],[])).
% 14.30/9.51 tff(7824,plain,
% 14.30/9.51 ((~(v130(constB31, bitIndex2) <=> b100(bitIndex2))) | v130(constB31, bitIndex2)),
% 14.30/9.51 inference(unit_resolution,[status(thm)],[7823, 5209])).
% 14.30/9.51 tff(7825,plain,
% 14.30/9.51 (v130(constB31, bitIndex2)),
% 14.30/9.51 inference(unit_resolution,[status(thm)],[7824, 7822])).
% 14.30/9.51 tff(7826,plain,
% 14.30/9.51 ((~(v127(constB31, bitIndex2) <=> v130(constB31, bitIndex2))) | v127(constB31, bitIndex2) | (~v130(constB31, bitIndex2))),
% 14.30/9.51 inference(tautology,[status(thm)],[])).
% 14.30/9.51 tff(7827,plain,
% 14.30/9.51 (v127(constB31, bitIndex2)),
% 14.30/9.51 inference(unit_resolution,[status(thm)],[7826, 7825, 7813])).
% 14.30/9.51 tff(7828,plain,
% 14.30/9.51 ((~(v129(constB32, bitIndex2) <=> v127(constB31, bitIndex2))) | v129(constB32, bitIndex2) | (~v127(constB31, bitIndex2))),
% 14.30/9.51 inference(tautology,[status(thm)],[])).
% 14.30/9.51 tff(7829,plain,
% 14.30/9.51 (v129(constB32, bitIndex2)),
% 14.30/9.51 inference(unit_resolution,[status(thm)],[7828, 7827, 7805])).
% 14.30/9.51 tff(7830,plain,
% 14.30/9.51 ((~(v90(constB32, bitIndex2) <=> v129(constB32, bitIndex2))) | v90(constB32, bitIndex2) | (~v129(constB32, bitIndex2))),
% 14.30/9.51 inference(tautology,[status(thm)],[])).
% 14.30/9.51 tff(7831,plain,
% 14.30/9.51 (v90(constB32, bitIndex2)),
% 14.30/9.51 inference(unit_resolution,[status(thm)],[7830, 7829, 7797])).
% 14.30/9.51 tff(7832,plain,
% 14.30/9.51 ((~(v90(constB33, bitIndex2) <=> v90(constB32, bitIndex2))) | v90(constB33, bitIndex2) | (~v90(constB32, bitIndex2))),
% 14.30/9.51 inference(tautology,[status(thm)],[])).
% 14.30/9.51 tff(7833,plain,
% 14.30/9.51 (v90(constB33, bitIndex2)),
% 14.30/9.51 inference(unit_resolution,[status(thm)],[7832, 7831, 3511])).
% 14.30/9.51 tff(7834,plain,
% 14.30/9.51 (((~![B: $i] : ((~less_3(B)) | (v90(constB33, B) <=> v90(constB32, B)))) | ((~less_3(bitIndex0)) | (v90(constB33, bitIndex0) <=> v90(constB32, bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v90(constB33, B) <=> v90(constB32, B)))) | (~less_3(bitIndex0)) | (v90(constB33, bitIndex0) <=> v90(constB32, bitIndex0)))),
% 14.30/9.51 inference(rewrite,[status(thm)],[])).
% 14.30/9.51 tff(7835,plain,
% 14.30/9.51 ((~![B: $i] : ((~less_3(B)) | (v90(constB33, B) <=> v90(constB32, B)))) | ((~less_3(bitIndex0)) | (v90(constB33, bitIndex0) <=> v90(constB32, bitIndex0)))),
% 14.30/9.51 inference(quant_inst,[status(thm)],[])).
% 14.30/9.51 tff(7836,plain,
% 14.30/9.51 ((~![B: $i] : ((~less_3(B)) | (v90(constB33, B) <=> v90(constB32, B)))) | (~less_3(bitIndex0)) | (v90(constB33, bitIndex0) <=> v90(constB32, bitIndex0))),
% 14.30/9.51 inference(modus_ponens,[status(thm)],[7835, 7834])).
% 14.30/9.51 tff(7837,plain,
% 14.30/9.51 (v90(constB33, bitIndex0) <=> v90(constB32, bitIndex0)),
% 14.30/9.51 inference(unit_resolution,[status(thm)],[7836, 5004, 3507])).
% 14.30/9.51 tff(7838,plain,
% 14.30/9.51 (((~![B: $i] : ((~less_3(B)) | (v90(constB32, B) <=> v129(constB32, B)))) | ((~less_3(bitIndex0)) | (v90(constB32, bitIndex0) <=> v129(constB32, bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v90(constB32, B) <=> v129(constB32, B)))) | (~less_3(bitIndex0)) | (v90(constB32, bitIndex0) <=> v129(constB32, bitIndex0)))),
% 14.30/9.51 inference(rewrite,[status(thm)],[])).
% 14.30/9.51 tff(7839,plain,
% 14.30/9.51 ((~![B: $i] : ((~less_3(B)) | (v90(constB32, B) <=> v129(constB32, B)))) | ((~less_3(bitIndex0)) | (v90(constB32, bitIndex0) <=> v129(constB32, bitIndex0)))),
% 14.30/9.52 inference(quant_inst,[status(thm)],[])).
% 14.30/9.52 tff(7840,plain,
% 14.30/9.52 ((~![B: $i] : ((~less_3(B)) | (v90(constB32, B) <=> v129(constB32, B)))) | (~less_3(bitIndex0)) | (v90(constB32, bitIndex0) <=> v129(constB32, bitIndex0))),
% 14.30/9.52 inference(modus_ponens,[status(thm)],[7839, 7838])).
% 14.30/9.52 tff(7841,plain,
% 14.30/9.52 (v90(constB32, bitIndex0) <=> v129(constB32, bitIndex0)),
% 14.30/9.52 inference(unit_resolution,[status(thm)],[7840, 5004, 7793])).
% 14.30/9.52 tff(7842,plain,
% 14.30/9.52 (((~![B: $i] : ((~less_3(B)) | (v129(constB32, B) <=> v127(constB31, B)))) | ((~less_3(bitIndex0)) | (v129(constB32, bitIndex0) <=> v127(constB31, bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v129(constB32, B) <=> v127(constB31, B)))) | (~less_3(bitIndex0)) | (v129(constB32, bitIndex0) <=> v127(constB31, bitIndex0)))),
% 14.30/9.52 inference(rewrite,[status(thm)],[])).
% 14.30/9.52 tff(7843,plain,
% 14.30/9.52 ((~![B: $i] : ((~less_3(B)) | (v129(constB32, B) <=> v127(constB31, B)))) | ((~less_3(bitIndex0)) | (v129(constB32, bitIndex0) <=> v127(constB31, bitIndex0)))),
% 14.30/9.52 inference(quant_inst,[status(thm)],[])).
% 14.30/9.52 tff(7844,plain,
% 14.30/9.52 ((~![B: $i] : ((~less_3(B)) | (v129(constB32, B) <=> v127(constB31, B)))) | (~less_3(bitIndex0)) | (v129(constB32, bitIndex0) <=> v127(constB31, bitIndex0))),
% 14.30/9.52 inference(modus_ponens,[status(thm)],[7843, 7842])).
% 14.30/9.52 tff(7845,plain,
% 14.30/9.52 (v129(constB32, bitIndex0) <=> v127(constB31, bitIndex0)),
% 14.30/9.52 inference(unit_resolution,[status(thm)],[7844, 5004, 7801])).
% 14.30/9.52 tff(7846,plain,
% 14.30/9.52 (((~![B: $i] : ((~less_3(B)) | (v127(constB31, B) <=> v130(constB31, B)))) | ((~less_3(bitIndex0)) | (v127(constB31, bitIndex0) <=> v130(constB31, bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v127(constB31, B) <=> v130(constB31, B)))) | (~less_3(bitIndex0)) | (v127(constB31, bitIndex0) <=> v130(constB31, bitIndex0)))),
% 14.30/9.52 inference(rewrite,[status(thm)],[])).
% 14.30/9.52 tff(7847,plain,
% 14.30/9.52 ((~![B: $i] : ((~less_3(B)) | (v127(constB31, B) <=> v130(constB31, B)))) | ((~less_3(bitIndex0)) | (v127(constB31, bitIndex0) <=> v130(constB31, bitIndex0)))),
% 14.30/9.52 inference(quant_inst,[status(thm)],[])).
% 14.30/9.52 tff(7848,plain,
% 14.30/9.52 ((~![B: $i] : ((~less_3(B)) | (v127(constB31, B) <=> v130(constB31, B)))) | (~less_3(bitIndex0)) | (v127(constB31, bitIndex0) <=> v130(constB31, bitIndex0))),
% 14.30/9.52 inference(modus_ponens,[status(thm)],[7847, 7846])).
% 14.30/9.52 tff(7849,plain,
% 14.30/9.52 (v127(constB31, bitIndex0) <=> v130(constB31, bitIndex0)),
% 14.30/9.52 inference(unit_resolution,[status(thm)],[7848, 5004, 7809])).
% 14.30/9.52 tff(7850,plain,
% 14.30/9.52 (((~![B: $i] : ((~less_3(B)) | (v130(constB31, B) <=> b100(B)))) | ((~less_3(bitIndex0)) | (v130(constB31, bitIndex0) <=> b100(bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v130(constB31, B) <=> b100(B)))) | (~less_3(bitIndex0)) | (v130(constB31, bitIndex0) <=> b100(bitIndex0)))),
% 14.30/9.52 inference(rewrite,[status(thm)],[])).
% 14.30/9.52 tff(7851,plain,
% 14.30/9.52 ((~![B: $i] : ((~less_3(B)) | (v130(constB31, B) <=> b100(B)))) | ((~less_3(bitIndex0)) | (v130(constB31, bitIndex0) <=> b100(bitIndex0)))),
% 14.30/9.52 inference(quant_inst,[status(thm)],[])).
% 14.30/9.52 tff(7852,plain,
% 14.30/9.52 ((~![B: $i] : ((~less_3(B)) | (v130(constB31, B) <=> b100(B)))) | (~less_3(bitIndex0)) | (v130(constB31, bitIndex0) <=> b100(bitIndex0))),
% 14.30/9.52 inference(modus_ponens,[status(thm)],[7851, 7850])).
% 14.30/9.52 tff(7853,plain,
% 14.30/9.52 (v130(constB31, bitIndex0) <=> b100(bitIndex0)),
% 14.30/9.52 inference(unit_resolution,[status(thm)],[7852, 5004, 7818])).
% 14.30/9.52 tff(7854,plain,
% 14.30/9.52 ((~(v130(constB31, bitIndex0) <=> b100(bitIndex0))) | (~v130(constB31, bitIndex0)) | b100(bitIndex0)),
% 14.30/9.52 inference(tautology,[status(thm)],[])).
% 14.30/9.52 tff(7855,plain,
% 14.30/9.52 ((~(v130(constB31, bitIndex0) <=> b100(bitIndex0))) | (~v130(constB31, bitIndex0))),
% 14.30/9.52 inference(unit_resolution,[status(thm)],[7854, 5243])).
% 14.30/9.52 tff(7856,plain,
% 14.30/9.52 (~v130(constB31, bitIndex0)),
% 14.30/9.52 inference(unit_resolution,[status(thm)],[7855, 7853])).
% 14.30/9.52 tff(7857,plain,
% 14.30/9.52 ((~(v127(constB31, bitIndex0) <=> v130(constB31, bitIndex0))) | (~v127(constB31, bitIndex0)) | v130(constB31, bitIndex0)),
% 14.30/9.52 inference(tautology,[status(thm)],[])).
% 14.30/9.52 tff(7858,plain,
% 14.30/9.52 (~v127(constB31, bitIndex0)),
% 14.30/9.52 inference(unit_resolution,[status(thm)],[7857, 7856, 7849])).
% 14.30/9.52 tff(7859,plain,
% 14.30/9.52 ((~(v129(constB32, bitIndex0) <=> v127(constB31, bitIndex0))) | (~v129(constB32, bitIndex0)) | v127(constB31, bitIndex0)),
% 14.30/9.52 inference(tautology,[status(thm)],[])).
% 14.30/9.52 tff(7860,plain,
% 14.30/9.52 (~v129(constB32, bitIndex0)),
% 14.30/9.52 inference(unit_resolution,[status(thm)],[7859, 7858, 7845])).
% 14.30/9.52 tff(7861,plain,
% 14.30/9.52 ((~(v90(constB32, bitIndex0) <=> v129(constB32, bitIndex0))) | (~v90(constB32, bitIndex0)) | v129(constB32, bitIndex0)),
% 14.30/9.52 inference(tautology,[status(thm)],[])).
% 14.30/9.52 tff(7862,plain,
% 14.30/9.52 (~v90(constB32, bitIndex0)),
% 14.30/9.52 inference(unit_resolution,[status(thm)],[7861, 7860, 7841])).
% 14.30/9.52 tff(7863,plain,
% 14.30/9.52 ((~(v90(constB33, bitIndex0) <=> v90(constB32, bitIndex0))) | (~v90(constB33, bitIndex0)) | v90(constB32, bitIndex0)),
% 14.30/9.52 inference(tautology,[status(thm)],[])).
% 14.30/9.52 tff(7864,plain,
% 14.30/9.52 (~v90(constB33, bitIndex0)),
% 14.30/9.52 inference(unit_resolution,[status(thm)],[7863, 7862, 7837])).
% 14.30/9.52 tff(7865,plain,
% 14.30/9.52 (((~![B: $i] : ((~less_3(B)) | (v90(constB33, B) <=> v90(constB32, B)))) | ((~less_3(bitIndex1)) | (v90(constB33, bitIndex1) <=> v90(constB32, bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v90(constB33, B) <=> v90(constB32, B)))) | (~less_3(bitIndex1)) | (v90(constB33, bitIndex1) <=> v90(constB32, bitIndex1)))),
% 14.30/9.52 inference(rewrite,[status(thm)],[])).
% 14.30/9.52 tff(7866,plain,
% 14.30/9.52 ((~![B: $i] : ((~less_3(B)) | (v90(constB33, B) <=> v90(constB32, B)))) | ((~less_3(bitIndex1)) | (v90(constB33, bitIndex1) <=> v90(constB32, bitIndex1)))),
% 14.30/9.52 inference(quant_inst,[status(thm)],[])).
% 14.30/9.52 tff(7867,plain,
% 14.30/9.52 ((~![B: $i] : ((~less_3(B)) | (v90(constB33, B) <=> v90(constB32, B)))) | (~less_3(bitIndex1)) | (v90(constB33, bitIndex1) <=> v90(constB32, bitIndex1))),
% 14.30/9.52 inference(modus_ponens,[status(thm)],[7866, 7865])).
% 14.30/9.52 tff(7868,plain,
% 14.30/9.52 (v90(constB33, bitIndex1) <=> v90(constB32, bitIndex1)),
% 14.30/9.52 inference(unit_resolution,[status(thm)],[7867, 5017, 3507])).
% 14.30/9.52 tff(7869,plain,
% 14.30/9.52 (((~![B: $i] : ((~less_3(B)) | (v90(constB32, B) <=> v129(constB32, B)))) | ((~less_3(bitIndex1)) | (v90(constB32, bitIndex1) <=> v129(constB32, bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v90(constB32, B) <=> v129(constB32, B)))) | (~less_3(bitIndex1)) | (v90(constB32, bitIndex1) <=> v129(constB32, bitIndex1)))),
% 14.30/9.52 inference(rewrite,[status(thm)],[])).
% 14.30/9.52 tff(7870,plain,
% 14.30/9.52 ((~![B: $i] : ((~less_3(B)) | (v90(constB32, B) <=> v129(constB32, B)))) | ((~less_3(bitIndex1)) | (v90(constB32, bitIndex1) <=> v129(constB32, bitIndex1)))),
% 14.30/9.52 inference(quant_inst,[status(thm)],[])).
% 14.30/9.52 tff(7871,plain,
% 14.30/9.52 ((~![B: $i] : ((~less_3(B)) | (v90(constB32, B) <=> v129(constB32, B)))) | (~less_3(bitIndex1)) | (v90(constB32, bitIndex1) <=> v129(constB32, bitIndex1))),
% 14.30/9.52 inference(modus_ponens,[status(thm)],[7870, 7869])).
% 14.30/9.52 tff(7872,plain,
% 14.30/9.52 (v90(constB32, bitIndex1) <=> v129(constB32, bitIndex1)),
% 14.30/9.52 inference(unit_resolution,[status(thm)],[7871, 5017, 7793])).
% 14.30/9.52 tff(7873,plain,
% 14.30/9.52 (((~![B: $i] : ((~less_3(B)) | (v129(constB32, B) <=> v127(constB31, B)))) | ((~less_3(bitIndex1)) | (v129(constB32, bitIndex1) <=> v127(constB31, bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v129(constB32, B) <=> v127(constB31, B)))) | (~less_3(bitIndex1)) | (v129(constB32, bitIndex1) <=> v127(constB31, bitIndex1)))),
% 14.30/9.52 inference(rewrite,[status(thm)],[])).
% 14.30/9.52 tff(7874,plain,
% 14.30/9.52 ((~![B: $i] : ((~less_3(B)) | (v129(constB32, B) <=> v127(constB31, B)))) | ((~less_3(bitIndex1)) | (v129(constB32, bitIndex1) <=> v127(constB31, bitIndex1)))),
% 14.30/9.52 inference(quant_inst,[status(thm)],[])).
% 14.30/9.52 tff(7875,plain,
% 14.30/9.52 ((~![B: $i] : ((~less_3(B)) | (v129(constB32, B) <=> v127(constB31, B)))) | (~less_3(bitIndex1)) | (v129(constB32, bitIndex1) <=> v127(constB31, bitIndex1))),
% 14.30/9.52 inference(modus_ponens,[status(thm)],[7874, 7873])).
% 14.30/9.52 tff(7876,plain,
% 14.30/9.52 (v129(constB32, bitIndex1) <=> v127(constB31, bitIndex1)),
% 14.30/9.52 inference(unit_resolution,[status(thm)],[7875, 5017, 7801])).
% 14.30/9.52 tff(7877,plain,
% 14.30/9.52 (((~![B: $i] : ((~less_3(B)) | (v127(constB31, B) <=> v130(constB31, B)))) | ((~less_3(bitIndex1)) | (v127(constB31, bitIndex1) <=> v130(constB31, bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v127(constB31, B) <=> v130(constB31, B)))) | (~less_3(bitIndex1)) | (v127(constB31, bitIndex1) <=> v130(constB31, bitIndex1)))),
% 14.30/9.52 inference(rewrite,[status(thm)],[])).
% 14.30/9.52 tff(7878,plain,
% 14.30/9.52 ((~![B: $i] : ((~less_3(B)) | (v127(constB31, B) <=> v130(constB31, B)))) | ((~less_3(bitIndex1)) | (v127(constB31, bitIndex1) <=> v130(constB31, bitIndex1)))),
% 14.30/9.52 inference(quant_inst,[status(thm)],[])).
% 14.30/9.52 tff(7879,plain,
% 14.30/9.52 ((~![B: $i] : ((~less_3(B)) | (v127(constB31, B) <=> v130(constB31, B)))) | (~less_3(bitIndex1)) | (v127(constB31, bitIndex1) <=> v130(constB31, bitIndex1))),
% 14.30/9.52 inference(modus_ponens,[status(thm)],[7878, 7877])).
% 14.30/9.52 tff(7880,plain,
% 14.30/9.52 (v127(constB31, bitIndex1) <=> v130(constB31, bitIndex1)),
% 14.30/9.52 inference(unit_resolution,[status(thm)],[7879, 5017, 7809])).
% 14.30/9.52 tff(7881,plain,
% 14.30/9.52 (((~![B: $i] : ((~less_3(B)) | (v130(constB31, B) <=> b100(B)))) | ((~less_3(bitIndex1)) | (v130(constB31, bitIndex1) <=> b100(bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v130(constB31, B) <=> b100(B)))) | (~less_3(bitIndex1)) | (v130(constB31, bitIndex1) <=> b100(bitIndex1)))),
% 14.30/9.52 inference(rewrite,[status(thm)],[])).
% 14.30/9.52 tff(7882,plain,
% 14.30/9.52 ((~![B: $i] : ((~less_3(B)) | (v130(constB31, B) <=> b100(B)))) | ((~less_3(bitIndex1)) | (v130(constB31, bitIndex1) <=> b100(bitIndex1)))),
% 14.30/9.52 inference(quant_inst,[status(thm)],[])).
% 14.30/9.52 tff(7883,plain,
% 14.30/9.52 ((~![B: $i] : ((~less_3(B)) | (v130(constB31, B) <=> b100(B)))) | (~less_3(bitIndex1)) | (v130(constB31, bitIndex1) <=> b100(bitIndex1))),
% 14.30/9.52 inference(modus_ponens,[status(thm)],[7882, 7881])).
% 14.30/9.52 tff(7884,plain,
% 14.30/9.52 (v130(constB31, bitIndex1) <=> b100(bitIndex1)),
% 14.30/9.52 inference(unit_resolution,[status(thm)],[7883, 5017, 7818])).
% 14.30/9.52 tff(7885,plain,
% 14.30/9.52 ((~(v130(constB31, bitIndex1) <=> b100(bitIndex1))) | (~v130(constB31, bitIndex1)) | b100(bitIndex1)),
% 14.30/9.52 inference(tautology,[status(thm)],[])).
% 14.30/9.52 tff(7886,plain,
% 14.30/9.52 ((~(v130(constB31, bitIndex1) <=> b100(bitIndex1))) | (~v130(constB31, bitIndex1))),
% 14.30/9.52 inference(unit_resolution,[status(thm)],[7885, 5277])).
% 14.30/9.52 tff(7887,plain,
% 14.30/9.52 (~v130(constB31, bitIndex1)),
% 14.30/9.52 inference(unit_resolution,[status(thm)],[7886, 7884])).
% 14.30/9.52 tff(7888,plain,
% 14.30/9.52 ((~(v127(constB31, bitIndex1) <=> v130(constB31, bitIndex1))) | (~v127(constB31, bitIndex1)) | v130(constB31, bitIndex1)),
% 14.30/9.52 inference(tautology,[status(thm)],[])).
% 14.30/9.52 tff(7889,plain,
% 14.30/9.52 (~v127(constB31, bitIndex1)),
% 14.30/9.52 inference(unit_resolution,[status(thm)],[7888, 7887, 7880])).
% 14.30/9.52 tff(7890,plain,
% 14.30/9.52 ((~(v129(constB32, bitIndex1) <=> v127(constB31, bitIndex1))) | (~v129(constB32, bitIndex1)) | v127(constB31, bitIndex1)),
% 14.30/9.52 inference(tautology,[status(thm)],[])).
% 14.30/9.52 tff(7891,plain,
% 14.30/9.52 (~v129(constB32, bitIndex1)),
% 14.30/9.52 inference(unit_resolution,[status(thm)],[7890, 7889, 7876])).
% 14.30/9.52 tff(7892,plain,
% 14.30/9.52 ((~(v90(constB32, bitIndex1) <=> v129(constB32, bitIndex1))) | (~v90(constB32, bitIndex1)) | v129(constB32, bitIndex1)),
% 14.30/9.52 inference(tautology,[status(thm)],[])).
% 14.30/9.52 tff(7893,plain,
% 14.30/9.52 (~v90(constB32, bitIndex1)),
% 14.30/9.52 inference(unit_resolution,[status(thm)],[7892, 7891, 7872])).
% 14.30/9.52 tff(7894,plain,
% 14.30/9.52 ((~(v90(constB33, bitIndex1) <=> v90(constB32, bitIndex1))) | (~v90(constB33, bitIndex1)) | v90(constB32, bitIndex1)),
% 14.30/9.52 inference(tautology,[status(thm)],[])).
% 14.30/9.52 tff(7895,plain,
% 14.30/9.52 (~v90(constB33, bitIndex1)),
% 14.30/9.52 inference(unit_resolution,[status(thm)],[7894, 7893, 7868])).
% 14.30/9.52 tff(7896,plain,
% 14.30/9.52 ((~((~v90(constB33, bitIndex2)) | v90(constB33, bitIndex1) | v90(constB33, bitIndex0))) | (~v90(constB33, bitIndex2)) | v90(constB33, bitIndex1) | v90(constB33, bitIndex0)),
% 14.30/9.52 inference(tautology,[status(thm)],[])).
% 14.30/9.52 tff(7897,plain,
% 14.30/9.52 (~((~v90(constB33, bitIndex2)) | v90(constB33, bitIndex1) | v90(constB33, bitIndex0))),
% 14.30/9.52 inference(unit_resolution,[status(thm)],[7896, 7895, 7864, 7833])).
% 14.30/9.52 tff(7898,plain,
% 14.30/9.52 ((~(v123(constB33) <=> (~((~v90(constB33, bitIndex2)) | v90(constB33, bitIndex1) | v90(constB33, bitIndex0))))) | v123(constB33) | ((~v90(constB33, bitIndex2)) | v90(constB33, bitIndex1) | v90(constB33, bitIndex0))),
% 14.30/9.52 inference(tautology,[status(thm)],[])).
% 14.30/9.52 tff(7899,plain,
% 14.30/9.52 (v123(constB33)),
% 14.30/9.52 inference(unit_resolution,[status(thm)],[7898, 7897, 3479])).
% 14.30/9.52 tff(7900,plain,
% 14.30/9.52 ((v116(constB33) | v123(constB33)) | (~v123(constB33))),
% 14.30/9.52 inference(tautology,[status(thm)],[])).
% 14.30/9.52 tff(7901,plain,
% 14.30/9.52 (v116(constB33) | v123(constB33)),
% 14.30/9.52 inference(unit_resolution,[status(thm)],[7900, 7899])).
% 14.30/9.52 tff(7902,plain,
% 14.30/9.52 ((~(v115(constB33) <=> (v116(constB33) | v123(constB33)))) | v115(constB33) | (~(v116(constB33) | v123(constB33)))),
% 14.30/9.52 inference(tautology,[status(thm)],[])).
% 14.30/9.52 tff(7903,plain,
% 14.30/9.52 (v115(constB33)),
% 14.30/9.52 inference(unit_resolution,[status(thm)],[7902, 7901, 3472])).
% 14.30/9.52 tff(7904,plain,
% 14.30/9.52 ((v115(constB33) | v124(constB33)) | (~v115(constB33))),
% 14.30/9.52 inference(tautology,[status(thm)],[])).
% 14.30/9.52 tff(7905,plain,
% 14.30/9.52 (v115(constB33) | v124(constB33)),
% 14.30/9.52 inference(unit_resolution,[status(thm)],[7904, 7903])).
% 14.30/9.52 tff(7906,plain,
% 14.30/9.52 ((~(v114(constB33) <=> (v115(constB33) | v124(constB33)))) | v114(constB33) | (~(v115(constB33) | v124(constB33)))),
% 14.30/9.52 inference(tautology,[status(thm)],[])).
% 14.30/9.52 tff(7907,plain,
% 14.30/9.52 (v114(constB33)),
% 14.30/9.52 inference(unit_resolution,[status(thm)],[7906, 7905, 3470])).
% 14.30/9.52 tff(7908,plain,
% 14.30/9.52 ((v114(constB33) | v125(constB33)) | (~v114(constB33))),
% 14.30/9.52 inference(tautology,[status(thm)],[])).
% 14.30/9.52 tff(7909,plain,
% 14.30/9.52 (v114(constB33) | v125(constB33)),
% 14.30/9.52 inference(unit_resolution,[status(thm)],[7908, 7907])).
% 14.30/9.52 tff(7910,plain,
% 14.30/9.52 ((~(v113(constB33) <=> (v114(constB33) | v125(constB33)))) | v113(constB33) | (~(v114(constB33) | v125(constB33)))),
% 14.30/9.52 inference(tautology,[status(thm)],[])).
% 14.30/9.52 tff(7911,plain,
% 14.30/9.52 (v113(constB33)),
% 14.30/9.52 inference(unit_resolution,[status(thm)],[7910, 7909, 3468])).
% 14.30/9.52 tff(7912,plain,
% 14.30/9.52 ((~![VarCurr: $i] : ((~v126(VarCurr)) <=> v111(VarCurr))) | ((~v126(constB33)) <=> v111(constB33))),
% 14.30/9.52 inference(quant_inst,[status(thm)],[])).
% 14.30/9.52 tff(7913,plain,
% 14.30/9.52 ((~v126(constB33)) <=> v111(constB33)),
% 14.30/9.52 inference(unit_resolution,[status(thm)],[7912, 5074])).
% 14.30/9.52 tff(7914,plain,
% 14.30/9.52 ((~![VarCurr: $i] : (v111(VarCurr) <=> v26(VarCurr))) | (v111(constB33) <=> v26(constB33))),
% 14.30/9.52 inference(quant_inst,[status(thm)],[])).
% 14.30/9.52 tff(7915,plain,
% 14.30/9.52 (v111(constB33) <=> v26(constB33)),
% 14.30/9.52 inference(unit_resolution,[status(thm)],[7914, 5086])).
% 14.30/9.52 tff(7916,plain,
% 14.30/9.52 ((~![VarCurr: $i] : (~v26(VarCurr))) | (~v26(constB33))),
% 14.30/9.52 inference(quant_inst,[status(thm)],[])).
% 14.30/9.52 tff(7917,plain,
% 14.30/9.52 (~v26(constB33)),
% 14.30/9.52 inference(unit_resolution,[status(thm)],[7916, 5098])).
% 14.30/9.52 tff(7918,plain,
% 14.30/9.52 ((~(v111(constB33) <=> v26(constB33))) | (~v111(constB33)) | v26(constB33)),
% 14.30/9.52 inference(tautology,[status(thm)],[])).
% 14.30/9.52 tff(7919,plain,
% 14.30/9.52 ((~(v111(constB33) <=> v26(constB33))) | (~v111(constB33))),
% 14.30/9.52 inference(unit_resolution,[status(thm)],[7918, 7917])).
% 14.30/9.52 tff(7920,plain,
% 14.30/9.52 (~v111(constB33)),
% 14.30/9.52 inference(unit_resolution,[status(thm)],[7919, 7915])).
% 14.30/9.52 tff(7921,plain,
% 14.30/9.52 ((~((~v126(constB33)) <=> v111(constB33))) | v126(constB33) | v111(constB33)),
% 14.30/9.52 inference(tautology,[status(thm)],[])).
% 14.30/9.52 tff(7922,plain,
% 14.30/9.52 ((~((~v126(constB33)) <=> v111(constB33))) | v126(constB33)),
% 14.30/9.52 inference(unit_resolution,[status(thm)],[7921, 7920])).
% 14.30/9.52 tff(7923,plain,
% 14.30/9.52 (v126(constB33)),
% 14.30/9.52 inference(unit_resolution,[status(thm)],[7922, 7913])).
% 14.30/9.52 tff(7924,plain,
% 14.30/9.52 ((~((~v113(constB33)) | (~v126(constB33)))) | (~v113(constB33)) | (~v126(constB33))),
% 14.30/9.52 inference(tautology,[status(thm)],[])).
% 14.30/9.52 tff(7925,plain,
% 14.30/9.52 ((~((~v113(constB33)) | (~v126(constB33)))) | (~v113(constB33))),
% 14.30/9.52 inference(unit_resolution,[status(thm)],[7924, 7923])).
% 14.30/9.52 tff(7926,plain,
% 14.30/9.52 (~((~v113(constB33)) | (~v126(constB33)))),
% 14.30/9.52 inference(unit_resolution,[status(thm)],[7925, 7911])).
% 14.30/9.52 tff(7927,plain,
% 14.30/9.52 ((~(v112(constB33) <=> (~((~v113(constB33)) | (~v126(constB33)))))) | v112(constB33) | ((~v113(constB33)) | (~v126(constB33)))),
% 14.30/9.52 inference(tautology,[status(thm)],[])).
% 14.30/9.52 tff(7928,plain,
% 14.30/9.52 (v112(constB33)),
% 14.30/9.52 inference(unit_resolution,[status(thm)],[7927, 7926, 3466])).
% 14.30/9.52 tff(7929,plain,
% 14.30/9.52 ((v111(constB33) | v112(constB33)) | (~v112(constB33))),
% 14.30/9.52 inference(tautology,[status(thm)],[])).
% 14.30/9.52 tff(7930,plain,
% 14.30/9.52 (v111(constB33) | v112(constB33)),
% 14.30/9.52 inference(unit_resolution,[status(thm)],[7929, 7928])).
% 14.30/9.52 tff(7931,plain,
% 14.30/9.52 ((~(v108(constB33) <=> (v111(constB33) | v112(constB33)))) | v108(constB33) | (~(v111(constB33) | v112(constB33)))),
% 14.30/9.52 inference(tautology,[status(thm)],[])).
% 14.30/9.52 tff(7932,plain,
% 14.30/9.52 (v108(constB33)),
% 14.30/9.52 inference(unit_resolution,[status(thm)],[7931, 7930, 3464])).
% 14.30/9.52 tff(7933,plain,
% 14.30/9.52 ((~(v110(constB34) <=> v108(constB33))) | v110(constB34) | (~v108(constB33))),
% 14.30/9.52 inference(tautology,[status(thm)],[])).
% 14.30/9.52 tff(7934,plain,
% 14.30/9.52 (v110(constB34)),
% 14.30/9.52 inference(unit_resolution,[status(thm)],[7933, 7932, 3462])).
% 14.30/9.52 tff(7935,plain,
% 14.30/9.52 ((~((~v101(constB34)) | (~v110(constB34)))) | (~v101(constB34)) | (~v110(constB34))),
% 14.30/9.52 inference(tautology,[status(thm)],[])).
% 14.30/9.52 tff(7936,plain,
% 14.30/9.52 (~((~v101(constB34)) | (~v110(constB34)))),
% 14.30/9.52 inference(unit_resolution,[status(thm)],[7935, 7934, 3458])).
% 14.30/9.52 tff(7937,plain,
% 14.30/9.52 ((~(v100(constB34) <=> (~((~v101(constB34)) | (~v110(constB34)))))) | v100(constB34) | ((~v101(constB34)) | (~v110(constB34)))),
% 14.30/9.52 inference(tautology,[status(thm)],[])).
% 14.30/9.52 tff(7938,plain,
% 14.30/9.52 (v100(constB34)),
% 14.30/9.52 inference(unit_resolution,[status(thm)],[7937, 7936, 3427])).
% 14.30/9.52 tff(7939,plain,
% 14.30/9.52 (((~![VarNext: $i] : ((~v100(VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v129(VarNext, B))))) | ((~v100(constB34)) | ![B: $i] : ((~less_3(B)) | (v90(constB34, B) <=> v129(constB34, B))))) <=> ((~![VarNext: $i] : ((~v100(VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v129(VarNext, B))))) | (~v100(constB34)) | ![B: $i] : ((~less_3(B)) | (v90(constB34, B) <=> v129(constB34, B))))),
% 14.30/9.52 inference(rewrite,[status(thm)],[])).
% 14.30/9.52 tff(7940,plain,
% 14.30/9.52 ((~![VarNext: $i] : ((~v100(VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v129(VarNext, B))))) | ((~v100(constB34)) | ![B: $i] : ((~less_3(B)) | (v90(constB34, B) <=> v129(constB34, B))))),
% 14.30/9.52 inference(quant_inst,[status(thm)],[])).
% 14.30/9.52 tff(7941,plain,
% 14.30/9.52 ((~![VarNext: $i] : ((~v100(VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v129(VarNext, B))))) | (~v100(constB34)) | ![B: $i] : ((~less_3(B)) | (v90(constB34, B) <=> v129(constB34, B)))),
% 14.30/9.52 inference(modus_ponens,[status(thm)],[7940, 7939])).
% 14.30/9.52 tff(7942,plain,
% 14.30/9.52 ((~v100(constB34)) | ![B: $i] : ((~less_3(B)) | (v90(constB34, B) <=> v129(constB34, B)))),
% 14.30/9.52 inference(unit_resolution,[status(thm)],[7941, 5134])).
% 14.30/9.52 tff(7943,plain,
% 14.30/9.52 (![B: $i] : ((~less_3(B)) | (v90(constB34, B) <=> v129(constB34, B)))),
% 14.30/9.52 inference(unit_resolution,[status(thm)],[7942, 7938])).
% 14.30/9.52 tff(7944,plain,
% 14.30/9.52 (((~![B: $i] : ((~less_3(B)) | (v90(constB34, B) <=> v129(constB34, B)))) | ((~less_3(bitIndex2)) | (v90(constB34, bitIndex2) <=> v129(constB34, bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v90(constB34, B) <=> v129(constB34, B)))) | (~less_3(bitIndex2)) | (v90(constB34, bitIndex2) <=> v129(constB34, bitIndex2)))),
% 14.30/9.52 inference(rewrite,[status(thm)],[])).
% 14.30/9.52 tff(7945,plain,
% 14.30/9.52 ((~![B: $i] : ((~less_3(B)) | (v90(constB34, B) <=> v129(constB34, B)))) | ((~less_3(bitIndex2)) | (v90(constB34, bitIndex2) <=> v129(constB34, bitIndex2)))),
% 14.30/9.52 inference(quant_inst,[status(thm)],[])).
% 14.30/9.52 tff(7946,plain,
% 14.30/9.52 ((~![B: $i] : ((~less_3(B)) | (v90(constB34, B) <=> v129(constB34, B)))) | (~less_3(bitIndex2)) | (v90(constB34, bitIndex2) <=> v129(constB34, bitIndex2))),
% 14.30/9.52 inference(modus_ponens,[status(thm)],[7945, 7944])).
% 14.30/9.52 tff(7947,plain,
% 14.30/9.52 (v90(constB34, bitIndex2) <=> v129(constB34, bitIndex2)),
% 14.30/9.52 inference(unit_resolution,[status(thm)],[7946, 413, 7943])).
% 14.30/9.52 tff(7948,plain,
% 14.30/9.52 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v129(VarNext, B) <=> v127(VarCurr, B))))) | ((~nextState(constB33, constB34)) | ![B: $i] : ((~less_3(B)) | (v129(constB34, B) <=> v127(constB33, B))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v129(VarNext, B) <=> v127(VarCurr, B))))) | (~nextState(constB33, constB34)) | ![B: $i] : ((~less_3(B)) | (v129(constB34, B) <=> v127(constB33, B))))),
% 14.30/9.52 inference(rewrite,[status(thm)],[])).
% 14.30/9.52 tff(7949,plain,
% 14.30/9.52 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v129(VarNext, B) <=> v127(VarCurr, B))))) | ((~nextState(constB33, constB34)) | ![B: $i] : ((~less_3(B)) | (v129(constB34, B) <=> v127(constB33, B))))),
% 14.30/9.52 inference(quant_inst,[status(thm)],[])).
% 14.30/9.52 tff(7950,plain,
% 14.30/9.52 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v129(VarNext, B) <=> v127(VarCurr, B))))) | (~nextState(constB33, constB34)) | ![B: $i] : ((~less_3(B)) | (v129(constB34, B) <=> v127(constB33, B)))),
% 14.30/9.52 inference(modus_ponens,[status(thm)],[7949, 7948])).
% 14.30/9.52 tff(7951,plain,
% 14.30/9.52 (![B: $i] : ((~less_3(B)) | (v129(constB34, B) <=> v127(constB33, B)))),
% 14.30/9.52 inference(unit_resolution,[status(thm)],[7950, 3423, 5156])).
% 14.30/9.52 tff(7952,plain,
% 14.30/9.52 (((~![B: $i] : ((~less_3(B)) | (v129(constB34, B) <=> v127(constB33, B)))) | ((~less_3(bitIndex2)) | (v129(constB34, bitIndex2) <=> v127(constB33, bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v129(constB34, B) <=> v127(constB33, B)))) | (~less_3(bitIndex2)) | (v129(constB34, bitIndex2) <=> v127(constB33, bitIndex2)))),
% 14.30/9.52 inference(rewrite,[status(thm)],[])).
% 14.30/9.52 tff(7953,plain,
% 14.30/9.52 ((~![B: $i] : ((~less_3(B)) | (v129(constB34, B) <=> v127(constB33, B)))) | ((~less_3(bitIndex2)) | (v129(constB34, bitIndex2) <=> v127(constB33, bitIndex2)))),
% 14.30/9.52 inference(quant_inst,[status(thm)],[])).
% 14.30/9.52 tff(7954,plain,
% 14.30/9.52 ((~![B: $i] : ((~less_3(B)) | (v129(constB34, B) <=> v127(constB33, B)))) | (~less_3(bitIndex2)) | (v129(constB34, bitIndex2) <=> v127(constB33, bitIndex2))),
% 14.30/9.52 inference(modus_ponens,[status(thm)],[7953, 7952])).
% 14.30/9.52 tff(7955,plain,
% 14.30/9.52 (v129(constB34, bitIndex2) <=> v127(constB33, bitIndex2)),
% 14.30/9.52 inference(unit_resolution,[status(thm)],[7954, 413, 7951])).
% 14.30/9.52 tff(7956,plain,
% 14.30/9.52 (((~![VarCurr: $i] : (v111(VarCurr) | ![B: $i] : ((~less_3(B)) | (v127(VarCurr, B) <=> v130(VarCurr, B))))) | (v111(constB33) | ![B: $i] : ((~less_3(B)) | (v127(constB33, B) <=> v130(constB33, B))))) <=> ((~![VarCurr: $i] : (v111(VarCurr) | ![B: $i] : ((~less_3(B)) | (v127(VarCurr, B) <=> v130(VarCurr, B))))) | v111(constB33) | ![B: $i] : ((~less_3(B)) | (v127(constB33, B) <=> v130(constB33, B))))),
% 14.30/9.52 inference(rewrite,[status(thm)],[])).
% 14.30/9.52 tff(7957,plain,
% 14.30/9.52 ((~![VarCurr: $i] : (v111(VarCurr) | ![B: $i] : ((~less_3(B)) | (v127(VarCurr, B) <=> v130(VarCurr, B))))) | (v111(constB33) | ![B: $i] : ((~less_3(B)) | (v127(constB33, B) <=> v130(constB33, B))))),
% 14.30/9.52 inference(quant_inst,[status(thm)],[])).
% 14.30/9.52 tff(7958,plain,
% 14.30/9.52 ((~![VarCurr: $i] : (v111(VarCurr) | ![B: $i] : ((~less_3(B)) | (v127(VarCurr, B) <=> v130(VarCurr, B))))) | v111(constB33) | ![B: $i] : ((~less_3(B)) | (v127(constB33, B) <=> v130(constB33, B)))),
% 14.30/9.52 inference(modus_ponens,[status(thm)],[7957, 7956])).
% 14.30/9.52 tff(7959,plain,
% 14.30/9.52 (![B: $i] : ((~less_3(B)) | (v127(constB33, B) <=> v130(constB33, B)))),
% 14.30/9.52 inference(unit_resolution,[status(thm)],[7958, 5177, 7920])).
% 14.30/9.52 tff(7960,plain,
% 14.30/9.52 (((~![B: $i] : ((~less_3(B)) | (v127(constB33, B) <=> v130(constB33, B)))) | ((~less_3(bitIndex2)) | (v127(constB33, bitIndex2) <=> v130(constB33, bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v127(constB33, B) <=> v130(constB33, B)))) | (~less_3(bitIndex2)) | (v127(constB33, bitIndex2) <=> v130(constB33, bitIndex2)))),
% 14.30/9.52 inference(rewrite,[status(thm)],[])).
% 14.30/9.52 tff(7961,plain,
% 14.30/9.52 ((~![B: $i] : ((~less_3(B)) | (v127(constB33, B) <=> v130(constB33, B)))) | ((~less_3(bitIndex2)) | (v127(constB33, bitIndex2) <=> v130(constB33, bitIndex2)))),
% 14.30/9.52 inference(quant_inst,[status(thm)],[])).
% 14.30/9.52 tff(7962,plain,
% 14.30/9.52 ((~![B: $i] : ((~less_3(B)) | (v127(constB33, B) <=> v130(constB33, B)))) | (~less_3(bitIndex2)) | (v127(constB33, bitIndex2) <=> v130(constB33, bitIndex2))),
% 14.30/9.52 inference(modus_ponens,[status(thm)],[7961, 7960])).
% 14.30/9.52 tff(7963,plain,
% 14.30/9.52 (v127(constB33, bitIndex2) <=> v130(constB33, bitIndex2)),
% 14.30/9.52 inference(unit_resolution,[status(thm)],[7962, 413, 7959])).
% 14.30/9.52 tff(7964,plain,
% 14.30/9.52 (((~![VarCurr: $i] : ((~v123(VarCurr)) | ![B: $i] : ((~less_3(B)) | (v130(VarCurr, B) <=> b110(B))))) | ((~v123(constB33)) | ![B: $i] : ((~less_3(B)) | (v130(constB33, B) <=> b110(B))))) <=> ((~![VarCurr: $i] : ((~v123(VarCurr)) | ![B: $i] : ((~less_3(B)) | (v130(VarCurr, B) <=> b110(B))))) | (~v123(constB33)) | ![B: $i] : ((~less_3(B)) | (v130(constB33, B) <=> b110(B))))),
% 14.30/9.52 inference(rewrite,[status(thm)],[])).
% 14.30/9.52 tff(7965,plain,
% 14.30/9.52 ((~![VarCurr: $i] : ((~v123(VarCurr)) | ![B: $i] : ((~less_3(B)) | (v130(VarCurr, B) <=> b110(B))))) | ((~v123(constB33)) | ![B: $i] : ((~less_3(B)) | (v130(constB33, B) <=> b110(B))))),
% 14.30/9.52 inference(quant_inst,[status(thm)],[])).
% 14.30/9.52 tff(7966,plain,
% 14.30/9.52 ((~![VarCurr: $i] : ((~v123(VarCurr)) | ![B: $i] : ((~less_3(B)) | (v130(VarCurr, B) <=> b110(B))))) | (~v123(constB33)) | ![B: $i] : ((~less_3(B)) | (v130(constB33, B) <=> b110(B)))),
% 14.30/9.52 inference(modus_ponens,[status(thm)],[7965, 7964])).
% 14.30/9.52 tff(7967,plain,
% 14.30/9.52 ((~v123(constB33)) | ![B: $i] : ((~less_3(B)) | (v130(constB33, B) <=> b110(B)))),
% 14.30/9.52 inference(unit_resolution,[status(thm)],[7966, 5369])).
% 14.30/9.52 tff(7968,plain,
% 14.30/9.52 (![B: $i] : ((~less_3(B)) | (v130(constB33, B) <=> b110(B)))),
% 14.30/9.52 inference(unit_resolution,[status(thm)],[7967, 7899])).
% 14.30/9.52 tff(7969,plain,
% 14.30/9.52 (((~![B: $i] : ((~less_3(B)) | (v130(constB33, B) <=> b110(B)))) | ((~less_3(bitIndex2)) | (v130(constB33, bitIndex2) <=> b110(bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v130(constB33, B) <=> b110(B)))) | (~less_3(bitIndex2)) | (v130(constB33, bitIndex2) <=> b110(bitIndex2)))),
% 14.30/9.52 inference(rewrite,[status(thm)],[])).
% 14.30/9.52 tff(7970,plain,
% 14.30/9.52 ((~![B: $i] : ((~less_3(B)) | (v130(constB33, B) <=> b110(B)))) | ((~less_3(bitIndex2)) | (v130(constB33, bitIndex2) <=> b110(bitIndex2)))),
% 14.30/9.52 inference(quant_inst,[status(thm)],[])).
% 14.30/9.52 tff(7971,plain,
% 14.30/9.52 ((~![B: $i] : ((~less_3(B)) | (v130(constB33, B) <=> b110(B)))) | (~less_3(bitIndex2)) | (v130(constB33, bitIndex2) <=> b110(bitIndex2))),
% 14.30/9.52 inference(modus_ponens,[status(thm)],[7970, 7969])).
% 14.30/9.52 tff(7972,plain,
% 14.30/9.52 (v130(constB33, bitIndex2) <=> b110(bitIndex2)),
% 14.30/9.52 inference(unit_resolution,[status(thm)],[7971, 413, 7968])).
% 14.30/9.52 tff(7973,plain,
% 14.30/9.52 ((~(v130(constB33, bitIndex2) <=> b110(bitIndex2))) | v130(constB33, bitIndex2) | (~b110(bitIndex2))),
% 14.30/9.52 inference(tautology,[status(thm)],[])).
% 14.30/9.52 tff(7974,plain,
% 14.30/9.52 ((~(v130(constB33, bitIndex2) <=> b110(bitIndex2))) | v130(constB33, bitIndex2)),
% 14.30/9.52 inference(unit_resolution,[status(thm)],[7973, 5381])).
% 14.30/9.52 tff(7975,plain,
% 14.30/9.52 (v130(constB33, bitIndex2)),
% 14.30/9.52 inference(unit_resolution,[status(thm)],[7974, 7972])).
% 14.30/9.52 tff(7976,plain,
% 14.30/9.52 ((~(v127(constB33, bitIndex2) <=> v130(constB33, bitIndex2))) | v127(constB33, bitIndex2) | (~v130(constB33, bitIndex2))),
% 14.30/9.52 inference(tautology,[status(thm)],[])).
% 14.30/9.52 tff(7977,plain,
% 14.30/9.52 (v127(constB33, bitIndex2)),
% 14.30/9.52 inference(unit_resolution,[status(thm)],[7976, 7975, 7963])).
% 14.30/9.52 tff(7978,plain,
% 14.30/9.52 ((~(v129(constB34, bitIndex2) <=> v127(constB33, bitIndex2))) | v129(constB34, bitIndex2) | (~v127(constB33, bitIndex2))),
% 14.30/9.52 inference(tautology,[status(thm)],[])).
% 14.30/9.52 tff(7979,plain,
% 14.30/9.52 (v129(constB34, bitIndex2)),
% 14.30/9.52 inference(unit_resolution,[status(thm)],[7978, 7977, 7955])).
% 14.30/9.52 tff(7980,plain,
% 14.30/9.52 ((~(v90(constB34, bitIndex2) <=> v129(constB34, bitIndex2))) | v90(constB34, bitIndex2) | (~v129(constB34, bitIndex2))),
% 14.30/9.52 inference(tautology,[status(thm)],[])).
% 14.30/9.52 tff(7981,plain,
% 14.30/9.52 (v90(constB34, bitIndex2)),
% 14.30/9.52 inference(unit_resolution,[status(thm)],[7980, 7979, 7947])).
% 14.30/9.52 tff(7982,plain,
% 14.30/9.52 ((~(v90(constB35, bitIndex2) <=> v90(constB34, bitIndex2))) | v90(constB35, bitIndex2) | (~v90(constB34, bitIndex2))),
% 14.30/9.52 inference(tautology,[status(thm)],[])).
% 14.30/9.52 tff(7983,plain,
% 14.30/9.52 (v90(constB35, bitIndex2)),
% 14.30/9.52 inference(unit_resolution,[status(thm)],[7982, 7981, 3420])).
% 14.30/9.52 tff(7984,plain,
% 14.30/9.52 (((~![B: $i] : ((~less_3(B)) | (v90(constB35, B) <=> v90(constB34, B)))) | ((~less_3(bitIndex0)) | (v90(constB35, bitIndex0) <=> v90(constB34, bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v90(constB35, B) <=> v90(constB34, B)))) | (~less_3(bitIndex0)) | (v90(constB35, bitIndex0) <=> v90(constB34, bitIndex0)))),
% 14.30/9.52 inference(rewrite,[status(thm)],[])).
% 14.30/9.52 tff(7985,plain,
% 14.30/9.52 ((~![B: $i] : ((~less_3(B)) | (v90(constB35, B) <=> v90(constB34, B)))) | ((~less_3(bitIndex0)) | (v90(constB35, bitIndex0) <=> v90(constB34, bitIndex0)))),
% 14.30/9.52 inference(quant_inst,[status(thm)],[])).
% 14.30/9.53 tff(7986,plain,
% 14.30/9.53 ((~![B: $i] : ((~less_3(B)) | (v90(constB35, B) <=> v90(constB34, B)))) | (~less_3(bitIndex0)) | (v90(constB35, bitIndex0) <=> v90(constB34, bitIndex0))),
% 14.30/9.53 inference(modus_ponens,[status(thm)],[7985, 7984])).
% 14.30/9.53 tff(7987,plain,
% 14.30/9.53 (v90(constB35, bitIndex0) <=> v90(constB34, bitIndex0)),
% 14.30/9.53 inference(unit_resolution,[status(thm)],[7986, 5004, 3416])).
% 14.30/9.53 tff(7988,plain,
% 14.30/9.53 (((~![B: $i] : ((~less_3(B)) | (v90(constB34, B) <=> v129(constB34, B)))) | ((~less_3(bitIndex0)) | (v90(constB34, bitIndex0) <=> v129(constB34, bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v90(constB34, B) <=> v129(constB34, B)))) | (~less_3(bitIndex0)) | (v90(constB34, bitIndex0) <=> v129(constB34, bitIndex0)))),
% 14.30/9.53 inference(rewrite,[status(thm)],[])).
% 14.30/9.53 tff(7989,plain,
% 14.30/9.53 ((~![B: $i] : ((~less_3(B)) | (v90(constB34, B) <=> v129(constB34, B)))) | ((~less_3(bitIndex0)) | (v90(constB34, bitIndex0) <=> v129(constB34, bitIndex0)))),
% 14.30/9.53 inference(quant_inst,[status(thm)],[])).
% 14.30/9.53 tff(7990,plain,
% 14.30/9.53 ((~![B: $i] : ((~less_3(B)) | (v90(constB34, B) <=> v129(constB34, B)))) | (~less_3(bitIndex0)) | (v90(constB34, bitIndex0) <=> v129(constB34, bitIndex0))),
% 14.30/9.53 inference(modus_ponens,[status(thm)],[7989, 7988])).
% 14.30/9.53 tff(7991,plain,
% 14.30/9.53 (v90(constB34, bitIndex0) <=> v129(constB34, bitIndex0)),
% 14.30/9.53 inference(unit_resolution,[status(thm)],[7990, 5004, 7943])).
% 14.30/9.53 tff(7992,plain,
% 14.30/9.53 (((~![B: $i] : ((~less_3(B)) | (v129(constB34, B) <=> v127(constB33, B)))) | ((~less_3(bitIndex0)) | (v129(constB34, bitIndex0) <=> v127(constB33, bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v129(constB34, B) <=> v127(constB33, B)))) | (~less_3(bitIndex0)) | (v129(constB34, bitIndex0) <=> v127(constB33, bitIndex0)))),
% 14.30/9.53 inference(rewrite,[status(thm)],[])).
% 14.30/9.53 tff(7993,plain,
% 14.30/9.53 ((~![B: $i] : ((~less_3(B)) | (v129(constB34, B) <=> v127(constB33, B)))) | ((~less_3(bitIndex0)) | (v129(constB34, bitIndex0) <=> v127(constB33, bitIndex0)))),
% 14.30/9.53 inference(quant_inst,[status(thm)],[])).
% 14.30/9.53 tff(7994,plain,
% 14.30/9.53 ((~![B: $i] : ((~less_3(B)) | (v129(constB34, B) <=> v127(constB33, B)))) | (~less_3(bitIndex0)) | (v129(constB34, bitIndex0) <=> v127(constB33, bitIndex0))),
% 14.30/9.53 inference(modus_ponens,[status(thm)],[7993, 7992])).
% 14.30/9.53 tff(7995,plain,
% 14.30/9.53 (v129(constB34, bitIndex0) <=> v127(constB33, bitIndex0)),
% 14.30/9.53 inference(unit_resolution,[status(thm)],[7994, 5004, 7951])).
% 14.30/9.53 tff(7996,plain,
% 14.30/9.53 (((~![B: $i] : ((~less_3(B)) | (v127(constB33, B) <=> v130(constB33, B)))) | ((~less_3(bitIndex0)) | (v127(constB33, bitIndex0) <=> v130(constB33, bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v127(constB33, B) <=> v130(constB33, B)))) | (~less_3(bitIndex0)) | (v127(constB33, bitIndex0) <=> v130(constB33, bitIndex0)))),
% 14.30/9.53 inference(rewrite,[status(thm)],[])).
% 14.30/9.53 tff(7997,plain,
% 14.30/9.53 ((~![B: $i] : ((~less_3(B)) | (v127(constB33, B) <=> v130(constB33, B)))) | ((~less_3(bitIndex0)) | (v127(constB33, bitIndex0) <=> v130(constB33, bitIndex0)))),
% 14.30/9.53 inference(quant_inst,[status(thm)],[])).
% 14.30/9.53 tff(7998,plain,
% 14.30/9.53 ((~![B: $i] : ((~less_3(B)) | (v127(constB33, B) <=> v130(constB33, B)))) | (~less_3(bitIndex0)) | (v127(constB33, bitIndex0) <=> v130(constB33, bitIndex0))),
% 14.30/9.53 inference(modus_ponens,[status(thm)],[7997, 7996])).
% 14.30/9.53 tff(7999,plain,
% 14.30/9.53 (v127(constB33, bitIndex0) <=> v130(constB33, bitIndex0)),
% 14.30/9.53 inference(unit_resolution,[status(thm)],[7998, 5004, 7959])).
% 14.30/9.53 tff(8000,plain,
% 14.30/9.53 (((~![B: $i] : ((~less_3(B)) | (v130(constB33, B) <=> b110(B)))) | ((~less_3(bitIndex0)) | (v130(constB33, bitIndex0) <=> b110(bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v130(constB33, B) <=> b110(B)))) | (~less_3(bitIndex0)) | (v130(constB33, bitIndex0) <=> b110(bitIndex0)))),
% 14.30/9.53 inference(rewrite,[status(thm)],[])).
% 14.30/9.53 tff(8001,plain,
% 14.30/9.53 ((~![B: $i] : ((~less_3(B)) | (v130(constB33, B) <=> b110(B)))) | ((~less_3(bitIndex0)) | (v130(constB33, bitIndex0) <=> b110(bitIndex0)))),
% 14.30/9.53 inference(quant_inst,[status(thm)],[])).
% 14.30/9.53 tff(8002,plain,
% 14.30/9.53 ((~![B: $i] : ((~less_3(B)) | (v130(constB33, B) <=> b110(B)))) | (~less_3(bitIndex0)) | (v130(constB33, bitIndex0) <=> b110(bitIndex0))),
% 14.30/9.53 inference(modus_ponens,[status(thm)],[8001, 8000])).
% 14.30/9.53 tff(8003,plain,
% 14.30/9.53 (v130(constB33, bitIndex0) <=> b110(bitIndex0)),
% 14.30/9.53 inference(unit_resolution,[status(thm)],[8002, 5004, 7968])).
% 14.30/9.53 tff(8004,plain,
% 14.30/9.53 ((~(v130(constB33, bitIndex0) <=> b110(bitIndex0))) | (~v130(constB33, bitIndex0)) | b110(bitIndex0)),
% 14.30/9.53 inference(tautology,[status(thm)],[])).
% 14.30/9.53 tff(8005,plain,
% 14.30/9.53 ((~(v130(constB33, bitIndex0) <=> b110(bitIndex0))) | (~v130(constB33, bitIndex0))),
% 14.30/9.53 inference(unit_resolution,[status(thm)],[8004, 5415])).
% 14.30/9.53 tff(8006,plain,
% 14.30/9.53 (~v130(constB33, bitIndex0)),
% 14.30/9.53 inference(unit_resolution,[status(thm)],[8005, 8003])).
% 14.30/9.53 tff(8007,plain,
% 14.30/9.53 ((~(v127(constB33, bitIndex0) <=> v130(constB33, bitIndex0))) | (~v127(constB33, bitIndex0)) | v130(constB33, bitIndex0)),
% 14.30/9.53 inference(tautology,[status(thm)],[])).
% 14.30/9.53 tff(8008,plain,
% 14.30/9.53 (~v127(constB33, bitIndex0)),
% 14.30/9.53 inference(unit_resolution,[status(thm)],[8007, 8006, 7999])).
% 14.30/9.53 tff(8009,plain,
% 14.30/9.53 ((~(v129(constB34, bitIndex0) <=> v127(constB33, bitIndex0))) | (~v129(constB34, bitIndex0)) | v127(constB33, bitIndex0)),
% 14.30/9.53 inference(tautology,[status(thm)],[])).
% 14.30/9.53 tff(8010,plain,
% 14.30/9.53 (~v129(constB34, bitIndex0)),
% 14.30/9.53 inference(unit_resolution,[status(thm)],[8009, 8008, 7995])).
% 14.30/9.53 tff(8011,plain,
% 14.30/9.53 ((~(v90(constB34, bitIndex0) <=> v129(constB34, bitIndex0))) | (~v90(constB34, bitIndex0)) | v129(constB34, bitIndex0)),
% 14.30/9.53 inference(tautology,[status(thm)],[])).
% 14.30/9.53 tff(8012,plain,
% 14.30/9.53 (~v90(constB34, bitIndex0)),
% 14.30/9.53 inference(unit_resolution,[status(thm)],[8011, 8010, 7991])).
% 14.30/9.53 tff(8013,plain,
% 14.30/9.53 ((~(v90(constB35, bitIndex0) <=> v90(constB34, bitIndex0))) | (~v90(constB35, bitIndex0)) | v90(constB34, bitIndex0)),
% 14.30/9.53 inference(tautology,[status(thm)],[])).
% 14.30/9.53 tff(8014,plain,
% 14.30/9.53 (~v90(constB35, bitIndex0)),
% 14.30/9.53 inference(unit_resolution,[status(thm)],[8013, 8012, 7987])).
% 14.30/9.53 tff(8015,plain,
% 14.30/9.53 (((~![B: $i] : ((~less_3(B)) | (v90(constB35, B) <=> v90(constB34, B)))) | ((~less_3(bitIndex1)) | (v90(constB35, bitIndex1) <=> v90(constB34, bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v90(constB35, B) <=> v90(constB34, B)))) | (~less_3(bitIndex1)) | (v90(constB35, bitIndex1) <=> v90(constB34, bitIndex1)))),
% 14.30/9.53 inference(rewrite,[status(thm)],[])).
% 14.30/9.53 tff(8016,plain,
% 14.30/9.53 ((~![B: $i] : ((~less_3(B)) | (v90(constB35, B) <=> v90(constB34, B)))) | ((~less_3(bitIndex1)) | (v90(constB35, bitIndex1) <=> v90(constB34, bitIndex1)))),
% 14.30/9.53 inference(quant_inst,[status(thm)],[])).
% 14.30/9.53 tff(8017,plain,
% 14.30/9.53 ((~![B: $i] : ((~less_3(B)) | (v90(constB35, B) <=> v90(constB34, B)))) | (~less_3(bitIndex1)) | (v90(constB35, bitIndex1) <=> v90(constB34, bitIndex1))),
% 14.30/9.53 inference(modus_ponens,[status(thm)],[8016, 8015])).
% 14.30/9.53 tff(8018,plain,
% 14.30/9.53 (v90(constB35, bitIndex1) <=> v90(constB34, bitIndex1)),
% 14.30/9.53 inference(unit_resolution,[status(thm)],[8017, 5017, 3416])).
% 14.30/9.53 tff(8019,plain,
% 14.30/9.53 (((~![B: $i] : ((~less_3(B)) | (v90(constB34, B) <=> v129(constB34, B)))) | ((~less_3(bitIndex1)) | (v90(constB34, bitIndex1) <=> v129(constB34, bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v90(constB34, B) <=> v129(constB34, B)))) | (~less_3(bitIndex1)) | (v90(constB34, bitIndex1) <=> v129(constB34, bitIndex1)))),
% 14.30/9.53 inference(rewrite,[status(thm)],[])).
% 14.30/9.53 tff(8020,plain,
% 14.30/9.53 ((~![B: $i] : ((~less_3(B)) | (v90(constB34, B) <=> v129(constB34, B)))) | ((~less_3(bitIndex1)) | (v90(constB34, bitIndex1) <=> v129(constB34, bitIndex1)))),
% 14.30/9.53 inference(quant_inst,[status(thm)],[])).
% 14.30/9.53 tff(8021,plain,
% 14.30/9.53 ((~![B: $i] : ((~less_3(B)) | (v90(constB34, B) <=> v129(constB34, B)))) | (~less_3(bitIndex1)) | (v90(constB34, bitIndex1) <=> v129(constB34, bitIndex1))),
% 14.30/9.53 inference(modus_ponens,[status(thm)],[8020, 8019])).
% 14.30/9.53 tff(8022,plain,
% 14.30/9.53 (v90(constB34, bitIndex1) <=> v129(constB34, bitIndex1)),
% 14.30/9.53 inference(unit_resolution,[status(thm)],[8021, 5017, 7943])).
% 14.30/9.53 tff(8023,plain,
% 14.30/9.53 (((~![B: $i] : ((~less_3(B)) | (v129(constB34, B) <=> v127(constB33, B)))) | ((~less_3(bitIndex1)) | (v129(constB34, bitIndex1) <=> v127(constB33, bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v129(constB34, B) <=> v127(constB33, B)))) | (~less_3(bitIndex1)) | (v129(constB34, bitIndex1) <=> v127(constB33, bitIndex1)))),
% 14.30/9.53 inference(rewrite,[status(thm)],[])).
% 14.30/9.53 tff(8024,plain,
% 14.30/9.53 ((~![B: $i] : ((~less_3(B)) | (v129(constB34, B) <=> v127(constB33, B)))) | ((~less_3(bitIndex1)) | (v129(constB34, bitIndex1) <=> v127(constB33, bitIndex1)))),
% 14.30/9.53 inference(quant_inst,[status(thm)],[])).
% 14.30/9.53 tff(8025,plain,
% 14.30/9.53 ((~![B: $i] : ((~less_3(B)) | (v129(constB34, B) <=> v127(constB33, B)))) | (~less_3(bitIndex1)) | (v129(constB34, bitIndex1) <=> v127(constB33, bitIndex1))),
% 14.30/9.53 inference(modus_ponens,[status(thm)],[8024, 8023])).
% 14.30/9.53 tff(8026,plain,
% 14.30/9.53 (v129(constB34, bitIndex1) <=> v127(constB33, bitIndex1)),
% 14.30/9.53 inference(unit_resolution,[status(thm)],[8025, 5017, 7951])).
% 14.30/9.53 tff(8027,plain,
% 14.30/9.53 (((~![B: $i] : ((~less_3(B)) | (v127(constB33, B) <=> v130(constB33, B)))) | ((~less_3(bitIndex1)) | (v127(constB33, bitIndex1) <=> v130(constB33, bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v127(constB33, B) <=> v130(constB33, B)))) | (~less_3(bitIndex1)) | (v127(constB33, bitIndex1) <=> v130(constB33, bitIndex1)))),
% 14.30/9.53 inference(rewrite,[status(thm)],[])).
% 14.30/9.53 tff(8028,plain,
% 14.30/9.53 ((~![B: $i] : ((~less_3(B)) | (v127(constB33, B) <=> v130(constB33, B)))) | ((~less_3(bitIndex1)) | (v127(constB33, bitIndex1) <=> v130(constB33, bitIndex1)))),
% 14.30/9.53 inference(quant_inst,[status(thm)],[])).
% 14.30/9.53 tff(8029,plain,
% 14.30/9.53 ((~![B: $i] : ((~less_3(B)) | (v127(constB33, B) <=> v130(constB33, B)))) | (~less_3(bitIndex1)) | (v127(constB33, bitIndex1) <=> v130(constB33, bitIndex1))),
% 14.30/9.53 inference(modus_ponens,[status(thm)],[8028, 8027])).
% 14.30/9.53 tff(8030,plain,
% 14.30/9.53 (v127(constB33, bitIndex1) <=> v130(constB33, bitIndex1)),
% 14.30/9.53 inference(unit_resolution,[status(thm)],[8029, 5017, 7959])).
% 14.30/9.53 tff(8031,plain,
% 14.30/9.53 (((~![B: $i] : ((~less_3(B)) | (v130(constB33, B) <=> b110(B)))) | ((~less_3(bitIndex1)) | (v130(constB33, bitIndex1) <=> b110(bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v130(constB33, B) <=> b110(B)))) | (~less_3(bitIndex1)) | (v130(constB33, bitIndex1) <=> b110(bitIndex1)))),
% 14.30/9.53 inference(rewrite,[status(thm)],[])).
% 14.30/9.53 tff(8032,plain,
% 14.30/9.53 ((~![B: $i] : ((~less_3(B)) | (v130(constB33, B) <=> b110(B)))) | ((~less_3(bitIndex1)) | (v130(constB33, bitIndex1) <=> b110(bitIndex1)))),
% 14.30/9.53 inference(quant_inst,[status(thm)],[])).
% 14.30/9.53 tff(8033,plain,
% 14.30/9.53 ((~![B: $i] : ((~less_3(B)) | (v130(constB33, B) <=> b110(B)))) | (~less_3(bitIndex1)) | (v130(constB33, bitIndex1) <=> b110(bitIndex1))),
% 14.30/9.53 inference(modus_ponens,[status(thm)],[8032, 8031])).
% 14.30/9.53 tff(8034,plain,
% 14.30/9.53 (v130(constB33, bitIndex1) <=> b110(bitIndex1)),
% 14.30/9.53 inference(unit_resolution,[status(thm)],[8033, 5017, 7968])).
% 14.30/9.53 tff(8035,plain,
% 14.30/9.53 ((~(v130(constB33, bitIndex1) <=> b110(bitIndex1))) | v130(constB33, bitIndex1) | (~b110(bitIndex1))),
% 14.30/9.53 inference(tautology,[status(thm)],[])).
% 14.30/9.53 tff(8036,plain,
% 14.30/9.53 ((~(v130(constB33, bitIndex1) <=> b110(bitIndex1))) | v130(constB33, bitIndex1)),
% 14.30/9.53 inference(unit_resolution,[status(thm)],[8035, 5449])).
% 14.30/9.53 tff(8037,plain,
% 14.30/9.53 (v130(constB33, bitIndex1)),
% 14.30/9.53 inference(unit_resolution,[status(thm)],[8036, 8034])).
% 14.30/9.53 tff(8038,plain,
% 14.30/9.53 ((~(v127(constB33, bitIndex1) <=> v130(constB33, bitIndex1))) | v127(constB33, bitIndex1) | (~v130(constB33, bitIndex1))),
% 14.30/9.53 inference(tautology,[status(thm)],[])).
% 14.30/9.53 tff(8039,plain,
% 14.30/9.53 (v127(constB33, bitIndex1)),
% 14.30/9.53 inference(unit_resolution,[status(thm)],[8038, 8037, 8030])).
% 14.30/9.53 tff(8040,plain,
% 14.30/9.53 ((~(v129(constB34, bitIndex1) <=> v127(constB33, bitIndex1))) | v129(constB34, bitIndex1) | (~v127(constB33, bitIndex1))),
% 14.30/9.53 inference(tautology,[status(thm)],[])).
% 14.30/9.53 tff(8041,plain,
% 14.30/9.53 (v129(constB34, bitIndex1)),
% 14.30/9.53 inference(unit_resolution,[status(thm)],[8040, 8039, 8026])).
% 14.30/9.53 tff(8042,plain,
% 14.30/9.53 ((~(v90(constB34, bitIndex1) <=> v129(constB34, bitIndex1))) | v90(constB34, bitIndex1) | (~v129(constB34, bitIndex1))),
% 14.30/9.53 inference(tautology,[status(thm)],[])).
% 14.30/9.53 tff(8043,plain,
% 14.30/9.53 (v90(constB34, bitIndex1)),
% 14.30/9.53 inference(unit_resolution,[status(thm)],[8042, 8041, 8022])).
% 14.30/9.53 tff(8044,plain,
% 14.30/9.53 ((~(v90(constB35, bitIndex1) <=> v90(constB34, bitIndex1))) | v90(constB35, bitIndex1) | (~v90(constB34, bitIndex1))),
% 14.30/9.53 inference(tautology,[status(thm)],[])).
% 14.30/9.53 tff(8045,plain,
% 14.30/9.53 (v90(constB35, bitIndex1)),
% 14.30/9.53 inference(unit_resolution,[status(thm)],[8044, 8043, 8018])).
% 14.30/9.53 tff(8046,plain,
% 14.30/9.53 ((~((~v90(constB35, bitIndex2)) | (~v90(constB35, bitIndex1)) | v90(constB35, bitIndex0))) | (~v90(constB35, bitIndex2)) | (~v90(constB35, bitIndex1)) | v90(constB35, bitIndex0)),
% 14.30/9.53 inference(tautology,[status(thm)],[])).
% 14.30/9.53 tff(8047,plain,
% 14.30/9.53 (~((~v90(constB35, bitIndex2)) | (~v90(constB35, bitIndex1)) | v90(constB35, bitIndex0))),
% 14.30/9.53 inference(unit_resolution,[status(thm)],[8046, 8045, 8014, 7983])).
% 14.30/9.53 tff(8048,plain,
% 14.30/9.53 ((~(v125(constB35) <=> (~((~v90(constB35, bitIndex2)) | (~v90(constB35, bitIndex1)) | v90(constB35, bitIndex0))))) | v125(constB35) | ((~v90(constB35, bitIndex2)) | (~v90(constB35, bitIndex1)) | v90(constB35, bitIndex0))),
% 14.30/9.53 inference(tautology,[status(thm)],[])).
% 14.30/9.53 tff(8049,plain,
% 14.30/9.53 (v125(constB35)),
% 14.30/9.53 inference(unit_resolution,[status(thm)],[8048, 8047, 3388])).
% 14.30/9.53 tff(8050,plain,
% 14.30/9.53 ((v114(constB35) | v125(constB35)) | (~v125(constB35))),
% 14.30/9.53 inference(tautology,[status(thm)],[])).
% 14.30/9.53 tff(8051,plain,
% 14.30/9.53 (v114(constB35) | v125(constB35)),
% 14.30/9.53 inference(unit_resolution,[status(thm)],[8050, 8049])).
% 14.30/9.53 tff(8052,plain,
% 14.30/9.53 ((~(v113(constB35) <=> (v114(constB35) | v125(constB35)))) | v113(constB35) | (~(v114(constB35) | v125(constB35)))),
% 14.30/9.53 inference(tautology,[status(thm)],[])).
% 14.30/9.53 tff(8053,plain,
% 14.30/9.53 (v113(constB35)),
% 14.30/9.53 inference(unit_resolution,[status(thm)],[8052, 8051, 3381])).
% 14.30/9.53 tff(8054,plain,
% 14.30/9.53 ((~![VarCurr: $i] : ((~v126(VarCurr)) <=> v111(VarCurr))) | ((~v126(constB35)) <=> v111(constB35))),
% 14.30/9.53 inference(quant_inst,[status(thm)],[])).
% 14.30/9.53 tff(8055,plain,
% 14.30/9.53 ((~v126(constB35)) <=> v111(constB35)),
% 14.30/9.53 inference(unit_resolution,[status(thm)],[8054, 5074])).
% 14.30/9.53 tff(8056,plain,
% 14.30/9.53 ((~![VarCurr: $i] : (v111(VarCurr) <=> v26(VarCurr))) | (v111(constB35) <=> v26(constB35))),
% 14.30/9.53 inference(quant_inst,[status(thm)],[])).
% 14.30/9.53 tff(8057,plain,
% 14.30/9.53 (v111(constB35) <=> v26(constB35)),
% 14.30/9.53 inference(unit_resolution,[status(thm)],[8056, 5086])).
% 14.30/9.53 tff(8058,plain,
% 14.30/9.53 ((~![VarCurr: $i] : (~v26(VarCurr))) | (~v26(constB35))),
% 14.30/9.53 inference(quant_inst,[status(thm)],[])).
% 14.30/9.53 tff(8059,plain,
% 14.30/9.53 (~v26(constB35)),
% 14.30/9.53 inference(unit_resolution,[status(thm)],[8058, 5098])).
% 14.30/9.53 tff(8060,plain,
% 14.30/9.53 ((~(v111(constB35) <=> v26(constB35))) | (~v111(constB35)) | v26(constB35)),
% 14.30/9.53 inference(tautology,[status(thm)],[])).
% 14.30/9.53 tff(8061,plain,
% 14.30/9.53 ((~(v111(constB35) <=> v26(constB35))) | (~v111(constB35))),
% 14.30/9.53 inference(unit_resolution,[status(thm)],[8060, 8059])).
% 14.30/9.53 tff(8062,plain,
% 14.30/9.53 (~v111(constB35)),
% 14.30/9.53 inference(unit_resolution,[status(thm)],[8061, 8057])).
% 14.30/9.53 tff(8063,plain,
% 14.30/9.53 ((~((~v126(constB35)) <=> v111(constB35))) | v126(constB35) | v111(constB35)),
% 14.30/9.53 inference(tautology,[status(thm)],[])).
% 14.30/9.53 tff(8064,plain,
% 14.30/9.53 ((~((~v126(constB35)) <=> v111(constB35))) | v126(constB35)),
% 14.30/9.53 inference(unit_resolution,[status(thm)],[8063, 8062])).
% 14.30/9.53 tff(8065,plain,
% 14.30/9.53 (v126(constB35)),
% 14.30/9.53 inference(unit_resolution,[status(thm)],[8064, 8055])).
% 14.30/9.53 tff(8066,plain,
% 14.30/9.53 ((~((~v113(constB35)) | (~v126(constB35)))) | (~v113(constB35)) | (~v126(constB35))),
% 14.30/9.53 inference(tautology,[status(thm)],[])).
% 14.30/9.53 tff(8067,plain,
% 14.30/9.53 ((~((~v113(constB35)) | (~v126(constB35)))) | (~v113(constB35))),
% 14.30/9.53 inference(unit_resolution,[status(thm)],[8066, 8065])).
% 14.30/9.53 tff(8068,plain,
% 14.30/9.53 (~((~v113(constB35)) | (~v126(constB35)))),
% 14.30/9.53 inference(unit_resolution,[status(thm)],[8067, 8053])).
% 14.30/9.53 tff(8069,plain,
% 14.30/9.53 ((~(v112(constB35) <=> (~((~v113(constB35)) | (~v126(constB35)))))) | v112(constB35) | ((~v113(constB35)) | (~v126(constB35)))),
% 14.30/9.53 inference(tautology,[status(thm)],[])).
% 14.30/9.53 tff(8070,plain,
% 14.30/9.53 (v112(constB35)),
% 14.30/9.53 inference(unit_resolution,[status(thm)],[8069, 8068, 3379])).
% 14.30/9.53 tff(8071,plain,
% 14.30/9.53 ((v111(constB35) | v112(constB35)) | (~v112(constB35))),
% 14.30/9.53 inference(tautology,[status(thm)],[])).
% 14.30/9.53 tff(8072,plain,
% 14.30/9.53 (v111(constB35) | v112(constB35)),
% 14.30/9.53 inference(unit_resolution,[status(thm)],[8071, 8070])).
% 14.30/9.53 tff(8073,plain,
% 14.30/9.53 ((~(v108(constB35) <=> (v111(constB35) | v112(constB35)))) | v108(constB35) | (~(v111(constB35) | v112(constB35)))),
% 14.30/9.53 inference(tautology,[status(thm)],[])).
% 14.30/9.53 tff(8074,plain,
% 14.30/9.53 (v108(constB35)),
% 14.30/9.53 inference(unit_resolution,[status(thm)],[8073, 8072, 3377])).
% 14.30/9.53 tff(8075,plain,
% 14.30/9.53 ((~(v110(constB36) <=> v108(constB35))) | v110(constB36) | (~v108(constB35))),
% 14.30/9.53 inference(tautology,[status(thm)],[])).
% 14.30/9.53 tff(8076,plain,
% 14.30/9.53 (v110(constB36)),
% 14.30/9.53 inference(unit_resolution,[status(thm)],[8075, 8074, 3375])).
% 14.30/9.53 tff(8077,plain,
% 14.30/9.53 ((~((~v101(constB36)) | (~v110(constB36)))) | (~v101(constB36)) | (~v110(constB36))),
% 14.30/9.53 inference(tautology,[status(thm)],[])).
% 14.30/9.53 tff(8078,plain,
% 14.30/9.53 (~((~v101(constB36)) | (~v110(constB36)))),
% 14.30/9.53 inference(unit_resolution,[status(thm)],[8077, 8076, 3371])).
% 14.30/9.53 tff(8079,plain,
% 14.30/9.53 ((~(v100(constB36) <=> (~((~v101(constB36)) | (~v110(constB36)))))) | v100(constB36) | ((~v101(constB36)) | (~v110(constB36)))),
% 14.30/9.53 inference(tautology,[status(thm)],[])).
% 14.30/9.53 tff(8080,plain,
% 14.30/9.53 (v100(constB36)),
% 14.30/9.53 inference(unit_resolution,[status(thm)],[8079, 8078, 3340])).
% 14.30/9.53 tff(8081,plain,
% 14.30/9.53 (((~![VarNext: $i] : ((~v100(VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v129(VarNext, B))))) | ((~v100(constB36)) | ![B: $i] : ((~less_3(B)) | (v90(constB36, B) <=> v129(constB36, B))))) <=> ((~![VarNext: $i] : ((~v100(VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v129(VarNext, B))))) | (~v100(constB36)) | ![B: $i] : ((~less_3(B)) | (v90(constB36, B) <=> v129(constB36, B))))),
% 14.30/9.53 inference(rewrite,[status(thm)],[])).
% 14.30/9.53 tff(8082,plain,
% 14.30/9.53 ((~![VarNext: $i] : ((~v100(VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v129(VarNext, B))))) | ((~v100(constB36)) | ![B: $i] : ((~less_3(B)) | (v90(constB36, B) <=> v129(constB36, B))))),
% 14.30/9.53 inference(quant_inst,[status(thm)],[])).
% 14.30/9.53 tff(8083,plain,
% 14.30/9.53 ((~![VarNext: $i] : ((~v100(VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v129(VarNext, B))))) | (~v100(constB36)) | ![B: $i] : ((~less_3(B)) | (v90(constB36, B) <=> v129(constB36, B)))),
% 14.30/9.53 inference(modus_ponens,[status(thm)],[8082, 8081])).
% 14.30/9.53 tff(8084,plain,
% 14.30/9.53 ((~v100(constB36)) | ![B: $i] : ((~less_3(B)) | (v90(constB36, B) <=> v129(constB36, B)))),
% 14.30/9.53 inference(unit_resolution,[status(thm)],[8083, 5134])).
% 14.30/9.53 tff(8085,plain,
% 14.30/9.53 (![B: $i] : ((~less_3(B)) | (v90(constB36, B) <=> v129(constB36, B)))),
% 14.30/9.53 inference(unit_resolution,[status(thm)],[8084, 8080])).
% 14.30/9.53 tff(8086,plain,
% 14.30/9.53 (((~![B: $i] : ((~less_3(B)) | (v90(constB36, B) <=> v129(constB36, B)))) | ((~less_3(bitIndex2)) | (v90(constB36, bitIndex2) <=> v129(constB36, bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v90(constB36, B) <=> v129(constB36, B)))) | (~less_3(bitIndex2)) | (v90(constB36, bitIndex2) <=> v129(constB36, bitIndex2)))),
% 14.30/9.53 inference(rewrite,[status(thm)],[])).
% 14.30/9.53 tff(8087,plain,
% 14.30/9.53 ((~![B: $i] : ((~less_3(B)) | (v90(constB36, B) <=> v129(constB36, B)))) | ((~less_3(bitIndex2)) | (v90(constB36, bitIndex2) <=> v129(constB36, bitIndex2)))),
% 14.30/9.53 inference(quant_inst,[status(thm)],[])).
% 14.30/9.53 tff(8088,plain,
% 14.30/9.53 ((~![B: $i] : ((~less_3(B)) | (v90(constB36, B) <=> v129(constB36, B)))) | (~less_3(bitIndex2)) | (v90(constB36, bitIndex2) <=> v129(constB36, bitIndex2))),
% 14.30/9.53 inference(modus_ponens,[status(thm)],[8087, 8086])).
% 14.30/9.53 tff(8089,plain,
% 14.30/9.53 (v90(constB36, bitIndex2) <=> v129(constB36, bitIndex2)),
% 14.30/9.53 inference(unit_resolution,[status(thm)],[8088, 413, 8085])).
% 14.30/9.53 tff(8090,plain,
% 14.30/9.53 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v129(VarNext, B) <=> v127(VarCurr, B))))) | ((~nextState(constB35, constB36)) | ![B: $i] : ((~less_3(B)) | (v129(constB36, B) <=> v127(constB35, B))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v129(VarNext, B) <=> v127(VarCurr, B))))) | (~nextState(constB35, constB36)) | ![B: $i] : ((~less_3(B)) | (v129(constB36, B) <=> v127(constB35, B))))),
% 14.30/9.53 inference(rewrite,[status(thm)],[])).
% 14.30/9.53 tff(8091,plain,
% 14.30/9.53 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v129(VarNext, B) <=> v127(VarCurr, B))))) | ((~nextState(constB35, constB36)) | ![B: $i] : ((~less_3(B)) | (v129(constB36, B) <=> v127(constB35, B))))),
% 14.30/9.53 inference(quant_inst,[status(thm)],[])).
% 14.30/9.53 tff(8092,plain,
% 14.30/9.53 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v129(VarNext, B) <=> v127(VarCurr, B))))) | (~nextState(constB35, constB36)) | ![B: $i] : ((~less_3(B)) | (v129(constB36, B) <=> v127(constB35, B)))),
% 14.30/9.53 inference(modus_ponens,[status(thm)],[8091, 8090])).
% 14.30/9.53 tff(8093,plain,
% 14.30/9.53 (![B: $i] : ((~less_3(B)) | (v129(constB36, B) <=> v127(constB35, B)))),
% 14.30/9.53 inference(unit_resolution,[status(thm)],[8092, 3336, 5156])).
% 14.30/9.53 tff(8094,plain,
% 14.30/9.53 (((~![B: $i] : ((~less_3(B)) | (v129(constB36, B) <=> v127(constB35, B)))) | ((~less_3(bitIndex2)) | (v129(constB36, bitIndex2) <=> v127(constB35, bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v129(constB36, B) <=> v127(constB35, B)))) | (~less_3(bitIndex2)) | (v129(constB36, bitIndex2) <=> v127(constB35, bitIndex2)))),
% 14.30/9.53 inference(rewrite,[status(thm)],[])).
% 14.30/9.53 tff(8095,plain,
% 14.30/9.53 ((~![B: $i] : ((~less_3(B)) | (v129(constB36, B) <=> v127(constB35, B)))) | ((~less_3(bitIndex2)) | (v129(constB36, bitIndex2) <=> v127(constB35, bitIndex2)))),
% 14.30/9.53 inference(quant_inst,[status(thm)],[])).
% 14.30/9.53 tff(8096,plain,
% 14.30/9.53 ((~![B: $i] : ((~less_3(B)) | (v129(constB36, B) <=> v127(constB35, B)))) | (~less_3(bitIndex2)) | (v129(constB36, bitIndex2) <=> v127(constB35, bitIndex2))),
% 14.30/9.53 inference(modus_ponens,[status(thm)],[8095, 8094])).
% 14.30/9.53 tff(8097,plain,
% 14.30/9.53 (v129(constB36, bitIndex2) <=> v127(constB35, bitIndex2)),
% 14.30/9.53 inference(unit_resolution,[status(thm)],[8096, 413, 8093])).
% 14.30/9.53 tff(8098,plain,
% 14.30/9.53 (((~![VarCurr: $i] : (v111(VarCurr) | ![B: $i] : ((~less_3(B)) | (v127(VarCurr, B) <=> v130(VarCurr, B))))) | (v111(constB35) | ![B: $i] : ((~less_3(B)) | (v127(constB35, B) <=> v130(constB35, B))))) <=> ((~![VarCurr: $i] : (v111(VarCurr) | ![B: $i] : ((~less_3(B)) | (v127(VarCurr, B) <=> v130(VarCurr, B))))) | v111(constB35) | ![B: $i] : ((~less_3(B)) | (v127(constB35, B) <=> v130(constB35, B))))),
% 14.30/9.53 inference(rewrite,[status(thm)],[])).
% 14.30/9.53 tff(8099,plain,
% 14.30/9.53 ((~![VarCurr: $i] : (v111(VarCurr) | ![B: $i] : ((~less_3(B)) | (v127(VarCurr, B) <=> v130(VarCurr, B))))) | (v111(constB35) | ![B: $i] : ((~less_3(B)) | (v127(constB35, B) <=> v130(constB35, B))))),
% 14.30/9.53 inference(quant_inst,[status(thm)],[])).
% 14.30/9.53 tff(8100,plain,
% 14.30/9.53 ((~![VarCurr: $i] : (v111(VarCurr) | ![B: $i] : ((~less_3(B)) | (v127(VarCurr, B) <=> v130(VarCurr, B))))) | v111(constB35) | ![B: $i] : ((~less_3(B)) | (v127(constB35, B) <=> v130(constB35, B)))),
% 14.30/9.53 inference(modus_ponens,[status(thm)],[8099, 8098])).
% 14.30/9.53 tff(8101,plain,
% 14.30/9.53 (![B: $i] : ((~less_3(B)) | (v127(constB35, B) <=> v130(constB35, B)))),
% 14.30/9.53 inference(unit_resolution,[status(thm)],[8100, 5177, 8062])).
% 14.30/9.53 tff(8102,plain,
% 14.30/9.53 (((~![B: $i] : ((~less_3(B)) | (v127(constB35, B) <=> v130(constB35, B)))) | ((~less_3(bitIndex2)) | (v127(constB35, bitIndex2) <=> v130(constB35, bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v127(constB35, B) <=> v130(constB35, B)))) | (~less_3(bitIndex2)) | (v127(constB35, bitIndex2) <=> v130(constB35, bitIndex2)))),
% 14.30/9.53 inference(rewrite,[status(thm)],[])).
% 14.30/9.53 tff(8103,plain,
% 14.30/9.53 ((~![B: $i] : ((~less_3(B)) | (v127(constB35, B) <=> v130(constB35, B)))) | ((~less_3(bitIndex2)) | (v127(constB35, bitIndex2) <=> v130(constB35, bitIndex2)))),
% 14.30/9.53 inference(quant_inst,[status(thm)],[])).
% 14.30/9.53 tff(8104,plain,
% 14.30/9.53 ((~![B: $i] : ((~less_3(B)) | (v127(constB35, B) <=> v130(constB35, B)))) | (~less_3(bitIndex2)) | (v127(constB35, bitIndex2) <=> v130(constB35, bitIndex2))),
% 14.30/9.53 inference(modus_ponens,[status(thm)],[8103, 8102])).
% 14.30/9.53 tff(8105,plain,
% 14.30/9.53 (v127(constB35, bitIndex2) <=> v130(constB35, bitIndex2)),
% 14.30/9.53 inference(unit_resolution,[status(thm)],[8104, 413, 8101])).
% 14.30/9.53 tff(8106,plain,
% 14.30/9.53 ((~![VarCurr: $i] : (v119(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))))) | (v119(constB35) <=> (~(v90(constB35, bitIndex0) | v90(constB35, bitIndex1) | v90(constB35, bitIndex2))))),
% 14.30/9.53 inference(quant_inst,[status(thm)],[])).
% 14.30/9.53 tff(8107,plain,
% 14.30/9.53 (v119(constB35) <=> (~(v90(constB35, bitIndex0) | v90(constB35, bitIndex1) | v90(constB35, bitIndex2)))),
% 14.30/9.54 inference(unit_resolution,[status(thm)],[8106, 4971])).
% 14.30/9.54 tff(8108,plain,
% 14.30/9.54 ((v90(constB35, bitIndex0) | v90(constB35, bitIndex1) | v90(constB35, bitIndex2)) | (~v90(constB35, bitIndex2))),
% 14.30/9.54 inference(tautology,[status(thm)],[])).
% 14.30/9.54 tff(8109,plain,
% 14.30/9.54 (v90(constB35, bitIndex0) | v90(constB35, bitIndex1) | v90(constB35, bitIndex2)),
% 14.30/9.54 inference(unit_resolution,[status(thm)],[8108, 7983])).
% 14.30/9.54 tff(8110,plain,
% 14.30/9.54 ((~(v119(constB35) <=> (~(v90(constB35, bitIndex0) | v90(constB35, bitIndex1) | v90(constB35, bitIndex2))))) | (~v119(constB35)) | (~(v90(constB35, bitIndex0) | v90(constB35, bitIndex1) | v90(constB35, bitIndex2)))),
% 14.30/9.54 inference(tautology,[status(thm)],[])).
% 14.30/9.54 tff(8111,plain,
% 14.30/9.54 (~v119(constB35)),
% 14.30/9.54 inference(unit_resolution,[status(thm)],[8110, 8109, 8107])).
% 14.30/9.54 tff(8112,plain,
% 14.30/9.54 (((~![VarCurr: $i] : (v124(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex2)))))) | (v124(constB35) <=> (~((~v90(constB35, bitIndex2)) | v90(constB35, bitIndex1) | (~v90(constB35, bitIndex0)))))) <=> ((~![VarCurr: $i] : (v124(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex2)))))) | (v124(constB35) <=> (~((~v90(constB35, bitIndex2)) | v90(constB35, bitIndex1) | (~v90(constB35, bitIndex0))))))),
% 14.30/9.54 inference(rewrite,[status(thm)],[])).
% 14.30/9.54 tff(8113,plain,
% 14.30/9.54 ((v124(constB35) <=> (~(v90(constB35, bitIndex1) | (~v90(constB35, bitIndex0)) | (~v90(constB35, bitIndex2))))) <=> (v124(constB35) <=> (~((~v90(constB35, bitIndex2)) | v90(constB35, bitIndex1) | (~v90(constB35, bitIndex0)))))),
% 14.30/9.54 inference(rewrite,[status(thm)],[])).
% 14.30/9.54 tff(8114,plain,
% 14.30/9.54 (((~![VarCurr: $i] : (v124(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex2)))))) | (v124(constB35) <=> (~(v90(constB35, bitIndex1) | (~v90(constB35, bitIndex0)) | (~v90(constB35, bitIndex2)))))) <=> ((~![VarCurr: $i] : (v124(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex2)))))) | (v124(constB35) <=> (~((~v90(constB35, bitIndex2)) | v90(constB35, bitIndex1) | (~v90(constB35, bitIndex0))))))),
% 14.30/9.54 inference(monotonicity,[status(thm)],[8113])).
% 14.30/9.54 tff(8115,plain,
% 14.30/9.54 (((~![VarCurr: $i] : (v124(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex2)))))) | (v124(constB35) <=> (~(v90(constB35, bitIndex1) | (~v90(constB35, bitIndex0)) | (~v90(constB35, bitIndex2)))))) <=> ((~![VarCurr: $i] : (v124(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex2)))))) | (v124(constB35) <=> (~((~v90(constB35, bitIndex2)) | v90(constB35, bitIndex1) | (~v90(constB35, bitIndex0))))))),
% 14.30/9.54 inference(transitivity,[status(thm)],[8114, 8112])).
% 14.30/9.54 tff(8116,plain,
% 14.30/9.54 ((~![VarCurr: $i] : (v124(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex2)))))) | (v124(constB35) <=> (~(v90(constB35, bitIndex1) | (~v90(constB35, bitIndex0)) | (~v90(constB35, bitIndex2)))))),
% 14.30/9.54 inference(quant_inst,[status(thm)],[])).
% 14.30/9.54 tff(8117,plain,
% 14.30/9.54 ((~![VarCurr: $i] : (v124(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex2)))))) | (v124(constB35) <=> (~((~v90(constB35, bitIndex2)) | v90(constB35, bitIndex1) | (~v90(constB35, bitIndex0)))))),
% 14.30/9.54 inference(modus_ponens,[status(thm)],[8116, 8115])).
% 14.30/9.54 tff(8118,plain,
% 14.30/9.54 (v124(constB35) <=> (~((~v90(constB35, bitIndex2)) | v90(constB35, bitIndex1) | (~v90(constB35, bitIndex0))))),
% 14.30/9.54 inference(unit_resolution,[status(thm)],[8117, 5539])).
% 14.30/9.54 tff(8119,plain,
% 14.30/9.54 (((~v90(constB35, bitIndex2)) | v90(constB35, bitIndex1) | (~v90(constB35, bitIndex0))) | (~v90(constB35, bitIndex1))),
% 14.30/9.54 inference(tautology,[status(thm)],[])).
% 14.30/9.54 tff(8120,plain,
% 14.30/9.54 ((~v90(constB35, bitIndex2)) | v90(constB35, bitIndex1) | (~v90(constB35, bitIndex0))),
% 14.30/9.54 inference(unit_resolution,[status(thm)],[8119, 8045])).
% 14.30/9.54 tff(8121,plain,
% 14.30/9.54 ((~(v124(constB35) <=> (~((~v90(constB35, bitIndex2)) | v90(constB35, bitIndex1) | (~v90(constB35, bitIndex0)))))) | (~v124(constB35)) | (~((~v90(constB35, bitIndex2)) | v90(constB35, bitIndex1) | (~v90(constB35, bitIndex0))))),
% 14.30/9.54 inference(tautology,[status(thm)],[])).
% 14.30/9.54 tff(8122,plain,
% 14.30/9.54 (~v124(constB35)),
% 14.30/9.54 inference(unit_resolution,[status(thm)],[8121, 8120, 8118])).
% 14.30/9.54 tff(8123,plain,
% 14.30/9.54 (((~![VarCurr: $i] : (v123(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)))))) | (v123(constB35) <=> (~((~v90(constB35, bitIndex2)) | v90(constB35, bitIndex1) | v90(constB35, bitIndex0))))) <=> ((~![VarCurr: $i] : (v123(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)))))) | (v123(constB35) <=> (~((~v90(constB35, bitIndex2)) | v90(constB35, bitIndex1) | v90(constB35, bitIndex0)))))),
% 14.30/9.54 inference(rewrite,[status(thm)],[])).
% 14.30/9.54 tff(8124,plain,
% 14.30/9.54 ((v123(constB35) <=> (~(v90(constB35, bitIndex0) | v90(constB35, bitIndex1) | (~v90(constB35, bitIndex2))))) <=> (v123(constB35) <=> (~((~v90(constB35, bitIndex2)) | v90(constB35, bitIndex1) | v90(constB35, bitIndex0))))),
% 14.30/9.54 inference(rewrite,[status(thm)],[])).
% 14.30/9.54 tff(8125,plain,
% 14.30/9.54 (((~![VarCurr: $i] : (v123(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)))))) | (v123(constB35) <=> (~(v90(constB35, bitIndex0) | v90(constB35, bitIndex1) | (~v90(constB35, bitIndex2)))))) <=> ((~![VarCurr: $i] : (v123(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)))))) | (v123(constB35) <=> (~((~v90(constB35, bitIndex2)) | v90(constB35, bitIndex1) | v90(constB35, bitIndex0)))))),
% 14.30/9.54 inference(monotonicity,[status(thm)],[8124])).
% 14.30/9.54 tff(8126,plain,
% 14.30/9.54 (((~![VarCurr: $i] : (v123(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)))))) | (v123(constB35) <=> (~(v90(constB35, bitIndex0) | v90(constB35, bitIndex1) | (~v90(constB35, bitIndex2)))))) <=> ((~![VarCurr: $i] : (v123(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)))))) | (v123(constB35) <=> (~((~v90(constB35, bitIndex2)) | v90(constB35, bitIndex1) | v90(constB35, bitIndex0)))))),
% 14.30/9.54 inference(transitivity,[status(thm)],[8125, 8123])).
% 14.30/9.54 tff(8127,plain,
% 14.30/9.54 ((~![VarCurr: $i] : (v123(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)))))) | (v123(constB35) <=> (~(v90(constB35, bitIndex0) | v90(constB35, bitIndex1) | (~v90(constB35, bitIndex2)))))),
% 14.30/9.54 inference(quant_inst,[status(thm)],[])).
% 14.30/9.54 tff(8128,plain,
% 14.30/9.54 ((~![VarCurr: $i] : (v123(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)))))) | (v123(constB35) <=> (~((~v90(constB35, bitIndex2)) | v90(constB35, bitIndex1) | v90(constB35, bitIndex0))))),
% 14.30/9.54 inference(modus_ponens,[status(thm)],[8127, 8126])).
% 14.30/9.54 tff(8129,plain,
% 14.30/9.54 (v123(constB35) <=> (~((~v90(constB35, bitIndex2)) | v90(constB35, bitIndex1) | v90(constB35, bitIndex0)))),
% 14.30/9.54 inference(unit_resolution,[status(thm)],[8128, 621])).
% 14.30/9.54 tff(8130,plain,
% 14.30/9.54 (((~v90(constB35, bitIndex2)) | v90(constB35, bitIndex1) | v90(constB35, bitIndex0)) | (~v90(constB35, bitIndex1))),
% 14.30/9.54 inference(tautology,[status(thm)],[])).
% 14.30/9.54 tff(8131,plain,
% 14.30/9.54 ((~v90(constB35, bitIndex2)) | v90(constB35, bitIndex1) | v90(constB35, bitIndex0)),
% 14.30/9.54 inference(unit_resolution,[status(thm)],[8130, 8045])).
% 14.30/9.54 tff(8132,plain,
% 14.30/9.54 ((~(v123(constB35) <=> (~((~v90(constB35, bitIndex2)) | v90(constB35, bitIndex1) | v90(constB35, bitIndex0))))) | (~v123(constB35)) | (~((~v90(constB35, bitIndex2)) | v90(constB35, bitIndex1) | v90(constB35, bitIndex0)))),
% 14.30/9.54 inference(tautology,[status(thm)],[])).
% 14.30/9.54 tff(8133,plain,
% 14.30/9.54 (~v123(constB35)),
% 14.30/9.54 inference(unit_resolution,[status(thm)],[8132, 8131, 8129])).
% 14.30/9.54 tff(8134,plain,
% 14.30/9.54 (((~![VarCurr: $i] : (v122(VarCurr) <=> (~(v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)))))) | (v122(constB35) <=> (~(v90(constB35, bitIndex2) | (~v90(constB35, bitIndex1)) | (~v90(constB35, bitIndex0)))))) <=> ((~![VarCurr: $i] : (v122(VarCurr) <=> (~(v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)))))) | (v122(constB35) <=> (~(v90(constB35, bitIndex2) | (~v90(constB35, bitIndex1)) | (~v90(constB35, bitIndex0))))))),
% 14.30/9.54 inference(rewrite,[status(thm)],[])).
% 14.30/9.54 tff(8135,plain,
% 14.30/9.54 ((v122(constB35) <=> (~(v90(constB35, bitIndex2) | (~v90(constB35, bitIndex0)) | (~v90(constB35, bitIndex1))))) <=> (v122(constB35) <=> (~(v90(constB35, bitIndex2) | (~v90(constB35, bitIndex1)) | (~v90(constB35, bitIndex0)))))),
% 14.30/9.54 inference(rewrite,[status(thm)],[])).
% 14.30/9.54 tff(8136,plain,
% 14.30/9.54 (((~![VarCurr: $i] : (v122(VarCurr) <=> (~(v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)))))) | (v122(constB35) <=> (~(v90(constB35, bitIndex2) | (~v90(constB35, bitIndex0)) | (~v90(constB35, bitIndex1)))))) <=> ((~![VarCurr: $i] : (v122(VarCurr) <=> (~(v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)))))) | (v122(constB35) <=> (~(v90(constB35, bitIndex2) | (~v90(constB35, bitIndex1)) | (~v90(constB35, bitIndex0))))))),
% 14.30/9.54 inference(monotonicity,[status(thm)],[8135])).
% 14.30/9.54 tff(8137,plain,
% 14.30/9.54 (((~![VarCurr: $i] : (v122(VarCurr) <=> (~(v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)))))) | (v122(constB35) <=> (~(v90(constB35, bitIndex2) | (~v90(constB35, bitIndex0)) | (~v90(constB35, bitIndex1)))))) <=> ((~![VarCurr: $i] : (v122(VarCurr) <=> (~(v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)))))) | (v122(constB35) <=> (~(v90(constB35, bitIndex2) | (~v90(constB35, bitIndex1)) | (~v90(constB35, bitIndex0))))))),
% 14.30/9.54 inference(transitivity,[status(thm)],[8136, 8134])).
% 14.30/9.54 tff(8138,plain,
% 14.30/9.54 ((~![VarCurr: $i] : (v122(VarCurr) <=> (~(v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)))))) | (v122(constB35) <=> (~(v90(constB35, bitIndex2) | (~v90(constB35, bitIndex0)) | (~v90(constB35, bitIndex1)))))),
% 14.30/9.54 inference(quant_inst,[status(thm)],[])).
% 14.30/9.54 tff(8139,plain,
% 14.30/9.54 ((~![VarCurr: $i] : (v122(VarCurr) <=> (~(v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)))))) | (v122(constB35) <=> (~(v90(constB35, bitIndex2) | (~v90(constB35, bitIndex1)) | (~v90(constB35, bitIndex0)))))),
% 14.30/9.54 inference(modus_ponens,[status(thm)],[8138, 8137])).
% 14.30/9.54 tff(8140,plain,
% 14.30/9.54 (v122(constB35) <=> (~(v90(constB35, bitIndex2) | (~v90(constB35, bitIndex1)) | (~v90(constB35, bitIndex0))))),
% 14.30/9.54 inference(unit_resolution,[status(thm)],[8139, 734])).
% 14.30/9.54 tff(8141,plain,
% 14.30/9.54 ((v90(constB35, bitIndex2) | (~v90(constB35, bitIndex1)) | (~v90(constB35, bitIndex0))) | (~v90(constB35, bitIndex2))),
% 14.30/9.54 inference(tautology,[status(thm)],[])).
% 14.30/9.54 tff(8142,plain,
% 14.30/9.54 (v90(constB35, bitIndex2) | (~v90(constB35, bitIndex1)) | (~v90(constB35, bitIndex0))),
% 14.30/9.54 inference(unit_resolution,[status(thm)],[8141, 7983])).
% 14.30/9.54 tff(8143,plain,
% 14.30/9.54 ((~(v122(constB35) <=> (~(v90(constB35, bitIndex2) | (~v90(constB35, bitIndex1)) | (~v90(constB35, bitIndex0)))))) | (~v122(constB35)) | (~(v90(constB35, bitIndex2) | (~v90(constB35, bitIndex1)) | (~v90(constB35, bitIndex0))))),
% 14.30/9.54 inference(tautology,[status(thm)],[])).
% 14.30/9.54 tff(8144,plain,
% 14.30/9.54 (~v122(constB35)),
% 14.30/9.54 inference(unit_resolution,[status(thm)],[8143, 8142, 8140])).
% 14.30/9.54 tff(8145,plain,
% 14.30/9.54 (((~![VarCurr: $i] : (v121(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex1)))))) | (v121(constB35) <=> (~(v90(constB35, bitIndex2) | (~v90(constB35, bitIndex1)) | v90(constB35, bitIndex0))))) <=> ((~![VarCurr: $i] : (v121(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex1)))))) | (v121(constB35) <=> (~(v90(constB35, bitIndex2) | (~v90(constB35, bitIndex1)) | v90(constB35, bitIndex0)))))),
% 14.30/9.54 inference(rewrite,[status(thm)],[])).
% 14.30/9.54 tff(8146,plain,
% 14.30/9.54 ((v121(constB35) <=> (~(v90(constB35, bitIndex0) | v90(constB35, bitIndex2) | (~v90(constB35, bitIndex1))))) <=> (v121(constB35) <=> (~(v90(constB35, bitIndex2) | (~v90(constB35, bitIndex1)) | v90(constB35, bitIndex0))))),
% 14.30/9.54 inference(rewrite,[status(thm)],[])).
% 14.30/9.54 tff(8147,plain,
% 14.30/9.54 (((~![VarCurr: $i] : (v121(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex1)))))) | (v121(constB35) <=> (~(v90(constB35, bitIndex0) | v90(constB35, bitIndex2) | (~v90(constB35, bitIndex1)))))) <=> ((~![VarCurr: $i] : (v121(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex1)))))) | (v121(constB35) <=> (~(v90(constB35, bitIndex2) | (~v90(constB35, bitIndex1)) | v90(constB35, bitIndex0)))))),
% 14.30/9.54 inference(monotonicity,[status(thm)],[8146])).
% 14.30/9.54 tff(8148,plain,
% 14.30/9.54 (((~![VarCurr: $i] : (v121(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex1)))))) | (v121(constB35) <=> (~(v90(constB35, bitIndex0) | v90(constB35, bitIndex2) | (~v90(constB35, bitIndex1)))))) <=> ((~![VarCurr: $i] : (v121(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex1)))))) | (v121(constB35) <=> (~(v90(constB35, bitIndex2) | (~v90(constB35, bitIndex1)) | v90(constB35, bitIndex0)))))),
% 14.30/9.54 inference(transitivity,[status(thm)],[8147, 8145])).
% 14.30/9.54 tff(8149,plain,
% 14.30/9.54 ((~![VarCurr: $i] : (v121(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex1)))))) | (v121(constB35) <=> (~(v90(constB35, bitIndex0) | v90(constB35, bitIndex2) | (~v90(constB35, bitIndex1)))))),
% 14.30/9.54 inference(quant_inst,[status(thm)],[])).
% 14.30/9.54 tff(8150,plain,
% 14.30/9.54 ((~![VarCurr: $i] : (v121(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex1)))))) | (v121(constB35) <=> (~(v90(constB35, bitIndex2) | (~v90(constB35, bitIndex1)) | v90(constB35, bitIndex0))))),
% 14.30/9.54 inference(modus_ponens,[status(thm)],[8149, 8148])).
% 14.30/9.54 tff(8151,plain,
% 14.30/9.54 (v121(constB35) <=> (~(v90(constB35, bitIndex2) | (~v90(constB35, bitIndex1)) | v90(constB35, bitIndex0)))),
% 14.30/9.54 inference(unit_resolution,[status(thm)],[8150, 849])).
% 14.30/9.54 tff(8152,plain,
% 14.30/9.54 ((v90(constB35, bitIndex2) | (~v90(constB35, bitIndex1)) | v90(constB35, bitIndex0)) | (~v90(constB35, bitIndex2))),
% 14.30/9.54 inference(tautology,[status(thm)],[])).
% 14.30/9.54 tff(8153,plain,
% 14.30/9.54 (v90(constB35, bitIndex2) | (~v90(constB35, bitIndex1)) | v90(constB35, bitIndex0)),
% 14.30/9.54 inference(unit_resolution,[status(thm)],[8152, 7983])).
% 14.30/9.54 tff(8154,plain,
% 14.30/9.54 ((~(v121(constB35) <=> (~(v90(constB35, bitIndex2) | (~v90(constB35, bitIndex1)) | v90(constB35, bitIndex0))))) | (~v121(constB35)) | (~(v90(constB35, bitIndex2) | (~v90(constB35, bitIndex1)) | v90(constB35, bitIndex0)))),
% 14.30/9.54 inference(tautology,[status(thm)],[])).
% 14.30/9.54 tff(8155,plain,
% 14.30/9.54 (~v121(constB35)),
% 14.30/9.54 inference(unit_resolution,[status(thm)],[8154, 8153, 8151])).
% 14.30/9.54 tff(8156,plain,
% 14.30/9.54 (((~![VarCurr: $i] : (v120(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)))))) | (v120(constB35) <=> (~(v90(constB35, bitIndex2) | v90(constB35, bitIndex1) | (~v90(constB35, bitIndex0)))))) <=> ((~![VarCurr: $i] : (v120(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)))))) | (v120(constB35) <=> (~(v90(constB35, bitIndex2) | v90(constB35, bitIndex1) | (~v90(constB35, bitIndex0))))))),
% 14.30/9.54 inference(rewrite,[status(thm)],[])).
% 14.30/9.54 tff(8157,plain,
% 14.30/9.54 ((v120(constB35) <=> (~(v90(constB35, bitIndex1) | v90(constB35, bitIndex2) | (~v90(constB35, bitIndex0))))) <=> (v120(constB35) <=> (~(v90(constB35, bitIndex2) | v90(constB35, bitIndex1) | (~v90(constB35, bitIndex0)))))),
% 14.30/9.54 inference(rewrite,[status(thm)],[])).
% 14.30/9.54 tff(8158,plain,
% 14.30/9.54 (((~![VarCurr: $i] : (v120(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)))))) | (v120(constB35) <=> (~(v90(constB35, bitIndex1) | v90(constB35, bitIndex2) | (~v90(constB35, bitIndex0)))))) <=> ((~![VarCurr: $i] : (v120(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)))))) | (v120(constB35) <=> (~(v90(constB35, bitIndex2) | v90(constB35, bitIndex1) | (~v90(constB35, bitIndex0))))))),
% 14.30/9.54 inference(monotonicity,[status(thm)],[8157])).
% 14.30/9.54 tff(8159,plain,
% 14.30/9.54 (((~![VarCurr: $i] : (v120(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)))))) | (v120(constB35) <=> (~(v90(constB35, bitIndex1) | v90(constB35, bitIndex2) | (~v90(constB35, bitIndex0)))))) <=> ((~![VarCurr: $i] : (v120(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)))))) | (v120(constB35) <=> (~(v90(constB35, bitIndex2) | v90(constB35, bitIndex1) | (~v90(constB35, bitIndex0))))))),
% 14.30/9.54 inference(transitivity,[status(thm)],[8158, 8156])).
% 14.30/9.54 tff(8160,plain,
% 14.30/9.54 ((~![VarCurr: $i] : (v120(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)))))) | (v120(constB35) <=> (~(v90(constB35, bitIndex1) | v90(constB35, bitIndex2) | (~v90(constB35, bitIndex0)))))),
% 14.30/9.54 inference(quant_inst,[status(thm)],[])).
% 14.30/9.54 tff(8161,plain,
% 14.30/9.54 ((~![VarCurr: $i] : (v120(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)))))) | (v120(constB35) <=> (~(v90(constB35, bitIndex2) | v90(constB35, bitIndex1) | (~v90(constB35, bitIndex0)))))),
% 14.30/9.54 inference(modus_ponens,[status(thm)],[8160, 8159])).
% 14.30/9.54 tff(8162,plain,
% 14.30/9.54 (v120(constB35) <=> (~(v90(constB35, bitIndex2) | v90(constB35, bitIndex1) | (~v90(constB35, bitIndex0))))),
% 14.30/9.54 inference(unit_resolution,[status(thm)],[8161, 966])).
% 14.30/9.54 tff(8163,plain,
% 14.30/9.54 ((v90(constB35, bitIndex2) | v90(constB35, bitIndex1) | (~v90(constB35, bitIndex0))) | (~v90(constB35, bitIndex2))),
% 14.30/9.54 inference(tautology,[status(thm)],[])).
% 14.30/9.54 tff(8164,plain,
% 14.30/9.54 (v90(constB35, bitIndex2) | v90(constB35, bitIndex1) | (~v90(constB35, bitIndex0))),
% 14.30/9.54 inference(unit_resolution,[status(thm)],[8163, 7983])).
% 14.30/9.54 tff(8165,plain,
% 14.30/9.54 ((~(v120(constB35) <=> (~(v90(constB35, bitIndex2) | v90(constB35, bitIndex1) | (~v90(constB35, bitIndex0)))))) | (~v120(constB35)) | (~(v90(constB35, bitIndex2) | v90(constB35, bitIndex1) | (~v90(constB35, bitIndex0))))),
% 14.30/9.54 inference(tautology,[status(thm)],[])).
% 14.30/9.54 tff(8166,plain,
% 14.30/9.54 (~v120(constB35)),
% 14.30/9.54 inference(unit_resolution,[status(thm)],[8165, 8164, 8162])).
% 14.30/9.54 tff(8167,plain,
% 14.30/9.54 (((~![VarCurr: $i] : (v124(VarCurr) | v123(VarCurr) | v122(VarCurr) | v121(VarCurr) | v120(VarCurr) | v119(VarCurr) | ![B: $i] : ((~less_3(B)) | (v130(VarCurr, B) <=> b001(B))))) | (v120(constB35) | v119(constB35) | v121(constB35) | v122(constB35) | v123(constB35) | v124(constB35) | ![B: $i] : ((~less_3(B)) | (v130(constB35, B) <=> b001(B))))) <=> ((~![VarCurr: $i] : (v124(VarCurr) | v123(VarCurr) | v122(VarCurr) | v121(VarCurr) | v120(VarCurr) | v119(VarCurr) | ![B: $i] : ((~less_3(B)) | (v130(VarCurr, B) <=> b001(B))))) | v120(constB35) | v119(constB35) | v121(constB35) | v122(constB35) | v123(constB35) | v124(constB35) | ![B: $i] : ((~less_3(B)) | (v130(constB35, B) <=> b001(B))))),
% 14.30/9.54 inference(rewrite,[status(thm)],[])).
% 14.30/9.54 tff(8168,plain,
% 14.30/9.54 ((v124(constB35) | v123(constB35) | v122(constB35) | v121(constB35) | v120(constB35) | v119(constB35) | ![B: $i] : ((~less_3(B)) | (v130(constB35, B) <=> b001(B)))) <=> (v120(constB35) | v119(constB35) | v121(constB35) | v122(constB35) | v123(constB35) | v124(constB35) | ![B: $i] : ((~less_3(B)) | (v130(constB35, B) <=> b001(B))))),
% 14.30/9.54 inference(rewrite,[status(thm)],[])).
% 14.30/9.54 tff(8169,plain,
% 14.30/9.54 (((~![VarCurr: $i] : (v124(VarCurr) | v123(VarCurr) | v122(VarCurr) | v121(VarCurr) | v120(VarCurr) | v119(VarCurr) | ![B: $i] : ((~less_3(B)) | (v130(VarCurr, B) <=> b001(B))))) | (v124(constB35) | v123(constB35) | v122(constB35) | v121(constB35) | v120(constB35) | v119(constB35) | ![B: $i] : ((~less_3(B)) | (v130(constB35, B) <=> b001(B))))) <=> ((~![VarCurr: $i] : (v124(VarCurr) | v123(VarCurr) | v122(VarCurr) | v121(VarCurr) | v120(VarCurr) | v119(VarCurr) | ![B: $i] : ((~less_3(B)) | (v130(VarCurr, B) <=> b001(B))))) | (v120(constB35) | v119(constB35) | v121(constB35) | v122(constB35) | v123(constB35) | v124(constB35) | ![B: $i] : ((~less_3(B)) | (v130(constB35, B) <=> b001(B)))))),
% 14.30/9.54 inference(monotonicity,[status(thm)],[8168])).
% 14.30/9.54 tff(8170,plain,
% 14.30/9.54 (((~![VarCurr: $i] : (v124(VarCurr) | v123(VarCurr) | v122(VarCurr) | v121(VarCurr) | v120(VarCurr) | v119(VarCurr) | ![B: $i] : ((~less_3(B)) | (v130(VarCurr, B) <=> b001(B))))) | (v124(constB35) | v123(constB35) | v122(constB35) | v121(constB35) | v120(constB35) | v119(constB35) | ![B: $i] : ((~less_3(B)) | (v130(constB35, B) <=> b001(B))))) <=> ((~![VarCurr: $i] : (v124(VarCurr) | v123(VarCurr) | v122(VarCurr) | v121(VarCurr) | v120(VarCurr) | v119(VarCurr) | ![B: $i] : ((~less_3(B)) | (v130(VarCurr, B) <=> b001(B))))) | v120(constB35) | v119(constB35) | v121(constB35) | v122(constB35) | v123(constB35) | v124(constB35) | ![B: $i] : ((~less_3(B)) | (v130(constB35, B) <=> b001(B))))),
% 14.30/9.54 inference(transitivity,[status(thm)],[8169, 8167])).
% 14.30/9.54 tff(8171,plain,
% 14.30/9.54 ((~![VarCurr: $i] : (v124(VarCurr) | v123(VarCurr) | v122(VarCurr) | v121(VarCurr) | v120(VarCurr) | v119(VarCurr) | ![B: $i] : ((~less_3(B)) | (v130(VarCurr, B) <=> b001(B))))) | (v124(constB35) | v123(constB35) | v122(constB35) | v121(constB35) | v120(constB35) | v119(constB35) | ![B: $i] : ((~less_3(B)) | (v130(constB35, B) <=> b001(B))))),
% 14.30/9.54 inference(quant_inst,[status(thm)],[])).
% 14.30/9.54 tff(8172,plain,
% 14.30/9.54 ((~![VarCurr: $i] : (v124(VarCurr) | v123(VarCurr) | v122(VarCurr) | v121(VarCurr) | v120(VarCurr) | v119(VarCurr) | ![B: $i] : ((~less_3(B)) | (v130(VarCurr, B) <=> b001(B))))) | v120(constB35) | v119(constB35) | v121(constB35) | v122(constB35) | v123(constB35) | v124(constB35) | ![B: $i] : ((~less_3(B)) | (v130(constB35, B) <=> b001(B)))),
% 14.30/9.54 inference(modus_ponens,[status(thm)],[8171, 8170])).
% 14.30/9.54 tff(8173,plain,
% 14.30/9.54 (v120(constB35) | v119(constB35) | v121(constB35) | v122(constB35) | v123(constB35) | v124(constB35) | ![B: $i] : ((~less_3(B)) | (v130(constB35, B) <=> b001(B)))),
% 14.30/9.54 inference(unit_resolution,[status(thm)],[8172, 5610])).
% 14.30/9.54 tff(8174,plain,
% 14.30/9.54 (![B: $i] : ((~less_3(B)) | (v130(constB35, B) <=> b001(B)))),
% 14.30/9.54 inference(unit_resolution,[status(thm)],[8173, 8166, 8155, 8144, 8133, 8122, 8111])).
% 14.30/9.54 tff(8175,plain,
% 14.30/9.54 (((~![B: $i] : ((~less_3(B)) | (v130(constB35, B) <=> b001(B)))) | ((~less_3(bitIndex2)) | (v130(constB35, bitIndex2) <=> b001(bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v130(constB35, B) <=> b001(B)))) | (~less_3(bitIndex2)) | (v130(constB35, bitIndex2) <=> b001(bitIndex2)))),
% 14.30/9.54 inference(rewrite,[status(thm)],[])).
% 14.30/9.54 tff(8176,plain,
% 14.30/9.54 ((~![B: $i] : ((~less_3(B)) | (v130(constB35, B) <=> b001(B)))) | ((~less_3(bitIndex2)) | (v130(constB35, bitIndex2) <=> b001(bitIndex2)))),
% 14.30/9.54 inference(quant_inst,[status(thm)],[])).
% 14.30/9.54 tff(8177,plain,
% 14.30/9.54 ((~![B: $i] : ((~less_3(B)) | (v130(constB35, B) <=> b001(B)))) | (~less_3(bitIndex2)) | (v130(constB35, bitIndex2) <=> b001(bitIndex2))),
% 14.30/9.54 inference(modus_ponens,[status(thm)],[8176, 8175])).
% 14.30/9.54 tff(8178,plain,
% 14.30/9.54 (v130(constB35, bitIndex2) <=> b001(bitIndex2)),
% 14.30/9.54 inference(unit_resolution,[status(thm)],[8177, 413, 8174])).
% 14.30/9.54 tff(8179,plain,
% 14.30/9.54 ((~(v130(constB35, bitIndex2) <=> b001(bitIndex2))) | (~v130(constB35, bitIndex2)) | b001(bitIndex2)),
% 14.30/9.54 inference(tautology,[status(thm)],[])).
% 14.30/9.54 tff(8180,plain,
% 14.30/9.54 ((~(v130(constB35, bitIndex2) <=> b001(bitIndex2))) | (~v130(constB35, bitIndex2))),
% 14.30/9.54 inference(unit_resolution,[status(thm)],[8179, 5625])).
% 14.30/9.54 tff(8181,plain,
% 14.30/9.54 (~v130(constB35, bitIndex2)),
% 14.30/9.54 inference(unit_resolution,[status(thm)],[8180, 8178])).
% 14.30/9.54 tff(8182,plain,
% 14.30/9.54 ((~(v127(constB35, bitIndex2) <=> v130(constB35, bitIndex2))) | (~v127(constB35, bitIndex2)) | v130(constB35, bitIndex2)),
% 14.30/9.54 inference(tautology,[status(thm)],[])).
% 14.30/9.54 tff(8183,plain,
% 14.30/9.54 (~v127(constB35, bitIndex2)),
% 14.30/9.54 inference(unit_resolution,[status(thm)],[8182, 8181, 8105])).
% 14.30/9.54 tff(8184,plain,
% 14.30/9.54 ((~(v129(constB36, bitIndex2) <=> v127(constB35, bitIndex2))) | (~v129(constB36, bitIndex2)) | v127(constB35, bitIndex2)),
% 14.30/9.54 inference(tautology,[status(thm)],[])).
% 14.30/9.54 tff(8185,plain,
% 14.30/9.54 (~v129(constB36, bitIndex2)),
% 14.30/9.54 inference(unit_resolution,[status(thm)],[8184, 8183, 8097])).
% 14.30/9.54 tff(8186,plain,
% 14.30/9.54 ((~(v90(constB36, bitIndex2) <=> v129(constB36, bitIndex2))) | (~v90(constB36, bitIndex2)) | v129(constB36, bitIndex2)),
% 14.30/9.54 inference(tautology,[status(thm)],[])).
% 14.30/9.54 tff(8187,plain,
% 14.30/9.54 (~v90(constB36, bitIndex2)),
% 14.30/9.54 inference(unit_resolution,[status(thm)],[8186, 8185, 8089])).
% 14.30/9.54 tff(8188,plain,
% 14.30/9.54 ((~(v90(constB37, bitIndex2) <=> v90(constB36, bitIndex2))) | (~v90(constB37, bitIndex2)) | v90(constB36, bitIndex2)),
% 14.30/9.55 inference(tautology,[status(thm)],[])).
% 14.30/9.55 tff(8189,plain,
% 14.30/9.55 (~v90(constB37, bitIndex2)),
% 14.30/9.55 inference(unit_resolution,[status(thm)],[8188, 8187, 3333])).
% 14.30/9.55 tff(8190,plain,
% 14.30/9.55 (((~![B: $i] : ((~less_3(B)) | (v90(constB37, B) <=> v90(constB36, B)))) | ((~less_3(bitIndex0)) | (v90(constB37, bitIndex0) <=> v90(constB36, bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v90(constB37, B) <=> v90(constB36, B)))) | (~less_3(bitIndex0)) | (v90(constB37, bitIndex0) <=> v90(constB36, bitIndex0)))),
% 14.30/9.55 inference(rewrite,[status(thm)],[])).
% 14.30/9.55 tff(8191,plain,
% 14.30/9.55 ((~![B: $i] : ((~less_3(B)) | (v90(constB37, B) <=> v90(constB36, B)))) | ((~less_3(bitIndex0)) | (v90(constB37, bitIndex0) <=> v90(constB36, bitIndex0)))),
% 14.30/9.55 inference(quant_inst,[status(thm)],[])).
% 14.30/9.55 tff(8192,plain,
% 14.30/9.55 ((~![B: $i] : ((~less_3(B)) | (v90(constB37, B) <=> v90(constB36, B)))) | (~less_3(bitIndex0)) | (v90(constB37, bitIndex0) <=> v90(constB36, bitIndex0))),
% 14.30/9.55 inference(modus_ponens,[status(thm)],[8191, 8190])).
% 14.30/9.55 tff(8193,plain,
% 14.30/9.55 (v90(constB37, bitIndex0) <=> v90(constB36, bitIndex0)),
% 14.30/9.55 inference(unit_resolution,[status(thm)],[8192, 5004, 3329])).
% 14.30/9.55 tff(8194,plain,
% 14.30/9.55 (((~![B: $i] : ((~less_3(B)) | (v90(constB36, B) <=> v129(constB36, B)))) | ((~less_3(bitIndex0)) | (v90(constB36, bitIndex0) <=> v129(constB36, bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v90(constB36, B) <=> v129(constB36, B)))) | (~less_3(bitIndex0)) | (v90(constB36, bitIndex0) <=> v129(constB36, bitIndex0)))),
% 14.30/9.55 inference(rewrite,[status(thm)],[])).
% 14.30/9.55 tff(8195,plain,
% 14.30/9.55 ((~![B: $i] : ((~less_3(B)) | (v90(constB36, B) <=> v129(constB36, B)))) | ((~less_3(bitIndex0)) | (v90(constB36, bitIndex0) <=> v129(constB36, bitIndex0)))),
% 14.30/9.55 inference(quant_inst,[status(thm)],[])).
% 14.30/9.55 tff(8196,plain,
% 14.30/9.55 ((~![B: $i] : ((~less_3(B)) | (v90(constB36, B) <=> v129(constB36, B)))) | (~less_3(bitIndex0)) | (v90(constB36, bitIndex0) <=> v129(constB36, bitIndex0))),
% 14.30/9.55 inference(modus_ponens,[status(thm)],[8195, 8194])).
% 14.30/9.55 tff(8197,plain,
% 14.30/9.55 (v90(constB36, bitIndex0) <=> v129(constB36, bitIndex0)),
% 14.30/9.55 inference(unit_resolution,[status(thm)],[8196, 5004, 8085])).
% 14.30/9.55 tff(8198,plain,
% 14.30/9.55 (((~![B: $i] : ((~less_3(B)) | (v129(constB36, B) <=> v127(constB35, B)))) | ((~less_3(bitIndex0)) | (v129(constB36, bitIndex0) <=> v127(constB35, bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v129(constB36, B) <=> v127(constB35, B)))) | (~less_3(bitIndex0)) | (v129(constB36, bitIndex0) <=> v127(constB35, bitIndex0)))),
% 14.30/9.55 inference(rewrite,[status(thm)],[])).
% 14.30/9.55 tff(8199,plain,
% 14.30/9.55 ((~![B: $i] : ((~less_3(B)) | (v129(constB36, B) <=> v127(constB35, B)))) | ((~less_3(bitIndex0)) | (v129(constB36, bitIndex0) <=> v127(constB35, bitIndex0)))),
% 14.30/9.55 inference(quant_inst,[status(thm)],[])).
% 14.30/9.55 tff(8200,plain,
% 14.30/9.55 ((~![B: $i] : ((~less_3(B)) | (v129(constB36, B) <=> v127(constB35, B)))) | (~less_3(bitIndex0)) | (v129(constB36, bitIndex0) <=> v127(constB35, bitIndex0))),
% 14.30/9.55 inference(modus_ponens,[status(thm)],[8199, 8198])).
% 14.30/9.55 tff(8201,plain,
% 14.30/9.55 (v129(constB36, bitIndex0) <=> v127(constB35, bitIndex0)),
% 14.30/9.55 inference(unit_resolution,[status(thm)],[8200, 5004, 8093])).
% 14.30/9.55 tff(8202,plain,
% 14.30/9.55 (((~![B: $i] : ((~less_3(B)) | (v127(constB35, B) <=> v130(constB35, B)))) | ((~less_3(bitIndex0)) | (v127(constB35, bitIndex0) <=> v130(constB35, bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v127(constB35, B) <=> v130(constB35, B)))) | (~less_3(bitIndex0)) | (v127(constB35, bitIndex0) <=> v130(constB35, bitIndex0)))),
% 14.30/9.55 inference(rewrite,[status(thm)],[])).
% 14.30/9.55 tff(8203,plain,
% 14.30/9.55 ((~![B: $i] : ((~less_3(B)) | (v127(constB35, B) <=> v130(constB35, B)))) | ((~less_3(bitIndex0)) | (v127(constB35, bitIndex0) <=> v130(constB35, bitIndex0)))),
% 14.30/9.55 inference(quant_inst,[status(thm)],[])).
% 14.30/9.55 tff(8204,plain,
% 14.30/9.55 ((~![B: $i] : ((~less_3(B)) | (v127(constB35, B) <=> v130(constB35, B)))) | (~less_3(bitIndex0)) | (v127(constB35, bitIndex0) <=> v130(constB35, bitIndex0))),
% 14.30/9.55 inference(modus_ponens,[status(thm)],[8203, 8202])).
% 14.30/9.55 tff(8205,plain,
% 14.30/9.55 (v127(constB35, bitIndex0) <=> v130(constB35, bitIndex0)),
% 14.30/9.55 inference(unit_resolution,[status(thm)],[8204, 5004, 8101])).
% 14.30/9.55 tff(8206,plain,
% 14.30/9.55 (((~![B: $i] : ((~less_3(B)) | (v130(constB35, B) <=> b001(B)))) | ((~less_3(bitIndex0)) | (v130(constB35, bitIndex0) <=> b001(bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v130(constB35, B) <=> b001(B)))) | (~less_3(bitIndex0)) | (v130(constB35, bitIndex0) <=> b001(bitIndex0)))),
% 14.30/9.55 inference(rewrite,[status(thm)],[])).
% 14.30/9.55 tff(8207,plain,
% 14.30/9.55 ((~![B: $i] : ((~less_3(B)) | (v130(constB35, B) <=> b001(B)))) | ((~less_3(bitIndex0)) | (v130(constB35, bitIndex0) <=> b001(bitIndex0)))),
% 14.30/9.55 inference(quant_inst,[status(thm)],[])).
% 14.30/9.55 tff(8208,plain,
% 14.30/9.55 ((~![B: $i] : ((~less_3(B)) | (v130(constB35, B) <=> b001(B)))) | (~less_3(bitIndex0)) | (v130(constB35, bitIndex0) <=> b001(bitIndex0))),
% 14.30/9.55 inference(modus_ponens,[status(thm)],[8207, 8206])).
% 14.30/9.55 tff(8209,plain,
% 14.30/9.55 (v130(constB35, bitIndex0) <=> b001(bitIndex0)),
% 14.30/9.55 inference(unit_resolution,[status(thm)],[8208, 5004, 8174])).
% 14.30/9.55 tff(8210,plain,
% 14.30/9.55 ((~(v130(constB35, bitIndex0) <=> b001(bitIndex0))) | v130(constB35, bitIndex0) | (~b001(bitIndex0))),
% 14.30/9.55 inference(tautology,[status(thm)],[])).
% 14.30/9.55 tff(8211,plain,
% 14.30/9.55 ((~(v130(constB35, bitIndex0) <=> b001(bitIndex0))) | v130(constB35, bitIndex0)),
% 14.30/9.55 inference(unit_resolution,[status(thm)],[8210, 5659])).
% 14.30/9.55 tff(8212,plain,
% 14.30/9.55 (v130(constB35, bitIndex0)),
% 14.30/9.55 inference(unit_resolution,[status(thm)],[8211, 8209])).
% 14.30/9.55 tff(8213,plain,
% 14.30/9.55 ((~(v127(constB35, bitIndex0) <=> v130(constB35, bitIndex0))) | v127(constB35, bitIndex0) | (~v130(constB35, bitIndex0))),
% 14.30/9.55 inference(tautology,[status(thm)],[])).
% 14.30/9.55 tff(8214,plain,
% 14.30/9.55 (v127(constB35, bitIndex0)),
% 14.30/9.55 inference(unit_resolution,[status(thm)],[8213, 8212, 8205])).
% 14.30/9.55 tff(8215,plain,
% 14.30/9.55 ((~(v129(constB36, bitIndex0) <=> v127(constB35, bitIndex0))) | v129(constB36, bitIndex0) | (~v127(constB35, bitIndex0))),
% 14.30/9.55 inference(tautology,[status(thm)],[])).
% 14.30/9.55 tff(8216,plain,
% 14.30/9.55 (v129(constB36, bitIndex0)),
% 14.30/9.55 inference(unit_resolution,[status(thm)],[8215, 8214, 8201])).
% 14.30/9.55 tff(8217,plain,
% 14.30/9.55 ((~(v90(constB36, bitIndex0) <=> v129(constB36, bitIndex0))) | v90(constB36, bitIndex0) | (~v129(constB36, bitIndex0))),
% 14.30/9.55 inference(tautology,[status(thm)],[])).
% 14.30/9.55 tff(8218,plain,
% 14.30/9.55 (v90(constB36, bitIndex0)),
% 14.30/9.55 inference(unit_resolution,[status(thm)],[8217, 8216, 8197])).
% 14.30/9.55 tff(8219,plain,
% 14.30/9.55 ((~(v90(constB37, bitIndex0) <=> v90(constB36, bitIndex0))) | v90(constB37, bitIndex0) | (~v90(constB36, bitIndex0))),
% 14.30/9.55 inference(tautology,[status(thm)],[])).
% 14.30/9.55 tff(8220,plain,
% 14.30/9.55 (v90(constB37, bitIndex0)),
% 14.30/9.55 inference(unit_resolution,[status(thm)],[8219, 8218, 8193])).
% 14.30/9.55 tff(8221,plain,
% 14.30/9.55 (((~![B: $i] : ((~less_3(B)) | (v90(constB37, B) <=> v90(constB36, B)))) | ((~less_3(bitIndex1)) | (v90(constB37, bitIndex1) <=> v90(constB36, bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v90(constB37, B) <=> v90(constB36, B)))) | (~less_3(bitIndex1)) | (v90(constB37, bitIndex1) <=> v90(constB36, bitIndex1)))),
% 14.30/9.55 inference(rewrite,[status(thm)],[])).
% 14.30/9.55 tff(8222,plain,
% 14.30/9.55 ((~![B: $i] : ((~less_3(B)) | (v90(constB37, B) <=> v90(constB36, B)))) | ((~less_3(bitIndex1)) | (v90(constB37, bitIndex1) <=> v90(constB36, bitIndex1)))),
% 14.30/9.55 inference(quant_inst,[status(thm)],[])).
% 14.30/9.55 tff(8223,plain,
% 14.30/9.55 ((~![B: $i] : ((~less_3(B)) | (v90(constB37, B) <=> v90(constB36, B)))) | (~less_3(bitIndex1)) | (v90(constB37, bitIndex1) <=> v90(constB36, bitIndex1))),
% 14.30/9.55 inference(modus_ponens,[status(thm)],[8222, 8221])).
% 14.30/9.55 tff(8224,plain,
% 14.30/9.55 (v90(constB37, bitIndex1) <=> v90(constB36, bitIndex1)),
% 14.30/9.55 inference(unit_resolution,[status(thm)],[8223, 5017, 3329])).
% 14.30/9.55 tff(8225,plain,
% 14.30/9.55 (((~![B: $i] : ((~less_3(B)) | (v90(constB36, B) <=> v129(constB36, B)))) | ((~less_3(bitIndex1)) | (v90(constB36, bitIndex1) <=> v129(constB36, bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v90(constB36, B) <=> v129(constB36, B)))) | (~less_3(bitIndex1)) | (v90(constB36, bitIndex1) <=> v129(constB36, bitIndex1)))),
% 14.30/9.55 inference(rewrite,[status(thm)],[])).
% 14.30/9.55 tff(8226,plain,
% 14.30/9.55 ((~![B: $i] : ((~less_3(B)) | (v90(constB36, B) <=> v129(constB36, B)))) | ((~less_3(bitIndex1)) | (v90(constB36, bitIndex1) <=> v129(constB36, bitIndex1)))),
% 14.30/9.55 inference(quant_inst,[status(thm)],[])).
% 14.30/9.55 tff(8227,plain,
% 14.30/9.55 ((~![B: $i] : ((~less_3(B)) | (v90(constB36, B) <=> v129(constB36, B)))) | (~less_3(bitIndex1)) | (v90(constB36, bitIndex1) <=> v129(constB36, bitIndex1))),
% 14.30/9.55 inference(modus_ponens,[status(thm)],[8226, 8225])).
% 14.30/9.55 tff(8228,plain,
% 14.30/9.55 (v90(constB36, bitIndex1) <=> v129(constB36, bitIndex1)),
% 14.30/9.55 inference(unit_resolution,[status(thm)],[8227, 5017, 8085])).
% 14.30/9.55 tff(8229,plain,
% 14.30/9.55 (((~![B: $i] : ((~less_3(B)) | (v129(constB36, B) <=> v127(constB35, B)))) | ((~less_3(bitIndex1)) | (v129(constB36, bitIndex1) <=> v127(constB35, bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v129(constB36, B) <=> v127(constB35, B)))) | (~less_3(bitIndex1)) | (v129(constB36, bitIndex1) <=> v127(constB35, bitIndex1)))),
% 14.30/9.55 inference(rewrite,[status(thm)],[])).
% 14.30/9.55 tff(8230,plain,
% 14.30/9.55 ((~![B: $i] : ((~less_3(B)) | (v129(constB36, B) <=> v127(constB35, B)))) | ((~less_3(bitIndex1)) | (v129(constB36, bitIndex1) <=> v127(constB35, bitIndex1)))),
% 14.30/9.55 inference(quant_inst,[status(thm)],[])).
% 14.30/9.55 tff(8231,plain,
% 14.30/9.55 ((~![B: $i] : ((~less_3(B)) | (v129(constB36, B) <=> v127(constB35, B)))) | (~less_3(bitIndex1)) | (v129(constB36, bitIndex1) <=> v127(constB35, bitIndex1))),
% 14.30/9.55 inference(modus_ponens,[status(thm)],[8230, 8229])).
% 14.30/9.55 tff(8232,plain,
% 14.30/9.55 (v129(constB36, bitIndex1) <=> v127(constB35, bitIndex1)),
% 14.30/9.55 inference(unit_resolution,[status(thm)],[8231, 5017, 8093])).
% 14.30/9.55 tff(8233,plain,
% 14.30/9.55 (((~![B: $i] : ((~less_3(B)) | (v127(constB35, B) <=> v130(constB35, B)))) | ((~less_3(bitIndex1)) | (v127(constB35, bitIndex1) <=> v130(constB35, bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v127(constB35, B) <=> v130(constB35, B)))) | (~less_3(bitIndex1)) | (v127(constB35, bitIndex1) <=> v130(constB35, bitIndex1)))),
% 14.30/9.55 inference(rewrite,[status(thm)],[])).
% 14.30/9.55 tff(8234,plain,
% 14.30/9.55 ((~![B: $i] : ((~less_3(B)) | (v127(constB35, B) <=> v130(constB35, B)))) | ((~less_3(bitIndex1)) | (v127(constB35, bitIndex1) <=> v130(constB35, bitIndex1)))),
% 14.30/9.55 inference(quant_inst,[status(thm)],[])).
% 14.30/9.55 tff(8235,plain,
% 14.30/9.55 ((~![B: $i] : ((~less_3(B)) | (v127(constB35, B) <=> v130(constB35, B)))) | (~less_3(bitIndex1)) | (v127(constB35, bitIndex1) <=> v130(constB35, bitIndex1))),
% 14.30/9.55 inference(modus_ponens,[status(thm)],[8234, 8233])).
% 14.30/9.55 tff(8236,plain,
% 14.30/9.55 (v127(constB35, bitIndex1) <=> v130(constB35, bitIndex1)),
% 14.30/9.55 inference(unit_resolution,[status(thm)],[8235, 5017, 8101])).
% 14.30/9.55 tff(8237,plain,
% 14.30/9.55 (((~![B: $i] : ((~less_3(B)) | (v130(constB35, B) <=> b001(B)))) | ((~less_3(bitIndex1)) | (v130(constB35, bitIndex1) <=> b001(bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v130(constB35, B) <=> b001(B)))) | (~less_3(bitIndex1)) | (v130(constB35, bitIndex1) <=> b001(bitIndex1)))),
% 14.30/9.55 inference(rewrite,[status(thm)],[])).
% 14.30/9.55 tff(8238,plain,
% 14.30/9.55 ((~![B: $i] : ((~less_3(B)) | (v130(constB35, B) <=> b001(B)))) | ((~less_3(bitIndex1)) | (v130(constB35, bitIndex1) <=> b001(bitIndex1)))),
% 14.30/9.55 inference(quant_inst,[status(thm)],[])).
% 14.30/9.55 tff(8239,plain,
% 14.30/9.55 ((~![B: $i] : ((~less_3(B)) | (v130(constB35, B) <=> b001(B)))) | (~less_3(bitIndex1)) | (v130(constB35, bitIndex1) <=> b001(bitIndex1))),
% 14.30/9.55 inference(modus_ponens,[status(thm)],[8238, 8237])).
% 14.30/9.55 tff(8240,plain,
% 14.30/9.55 (v130(constB35, bitIndex1) <=> b001(bitIndex1)),
% 14.30/9.55 inference(unit_resolution,[status(thm)],[8239, 5017, 8174])).
% 14.30/9.55 tff(8241,plain,
% 14.30/9.55 ((~(v130(constB35, bitIndex1) <=> b001(bitIndex1))) | (~v130(constB35, bitIndex1)) | b001(bitIndex1)),
% 14.30/9.55 inference(tautology,[status(thm)],[])).
% 14.30/9.55 tff(8242,plain,
% 14.30/9.55 ((~(v130(constB35, bitIndex1) <=> b001(bitIndex1))) | (~v130(constB35, bitIndex1))),
% 14.30/9.55 inference(unit_resolution,[status(thm)],[8241, 5693])).
% 14.30/9.55 tff(8243,plain,
% 14.30/9.55 (~v130(constB35, bitIndex1)),
% 14.30/9.55 inference(unit_resolution,[status(thm)],[8242, 8240])).
% 14.30/9.55 tff(8244,plain,
% 14.30/9.55 ((~(v127(constB35, bitIndex1) <=> v130(constB35, bitIndex1))) | (~v127(constB35, bitIndex1)) | v130(constB35, bitIndex1)),
% 14.30/9.55 inference(tautology,[status(thm)],[])).
% 14.30/9.55 tff(8245,plain,
% 14.30/9.55 (~v127(constB35, bitIndex1)),
% 14.30/9.55 inference(unit_resolution,[status(thm)],[8244, 8243, 8236])).
% 14.30/9.55 tff(8246,plain,
% 14.30/9.55 ((~(v129(constB36, bitIndex1) <=> v127(constB35, bitIndex1))) | (~v129(constB36, bitIndex1)) | v127(constB35, bitIndex1)),
% 14.30/9.55 inference(tautology,[status(thm)],[])).
% 14.30/9.55 tff(8247,plain,
% 14.30/9.55 (~v129(constB36, bitIndex1)),
% 14.30/9.55 inference(unit_resolution,[status(thm)],[8246, 8245, 8232])).
% 14.30/9.55 tff(8248,plain,
% 14.30/9.55 ((~(v90(constB36, bitIndex1) <=> v129(constB36, bitIndex1))) | (~v90(constB36, bitIndex1)) | v129(constB36, bitIndex1)),
% 14.30/9.55 inference(tautology,[status(thm)],[])).
% 14.30/9.55 tff(8249,plain,
% 14.30/9.55 (~v90(constB36, bitIndex1)),
% 14.30/9.55 inference(unit_resolution,[status(thm)],[8248, 8247, 8228])).
% 14.30/9.55 tff(8250,plain,
% 14.30/9.55 ((~(v90(constB37, bitIndex1) <=> v90(constB36, bitIndex1))) | (~v90(constB37, bitIndex1)) | v90(constB36, bitIndex1)),
% 14.30/9.55 inference(tautology,[status(thm)],[])).
% 14.30/9.55 tff(8251,plain,
% 14.30/9.55 (~v90(constB37, bitIndex1)),
% 14.30/9.55 inference(unit_resolution,[status(thm)],[8250, 8249, 8224])).
% 14.30/9.55 tff(8252,plain,
% 14.30/9.55 ((~(v90(constB37, bitIndex2) | v90(constB37, bitIndex1) | (~v90(constB37, bitIndex0)))) | v90(constB37, bitIndex2) | v90(constB37, bitIndex1) | (~v90(constB37, bitIndex0))),
% 14.30/9.55 inference(tautology,[status(thm)],[])).
% 14.30/9.55 tff(8253,plain,
% 14.30/9.55 (~(v90(constB37, bitIndex2) | v90(constB37, bitIndex1) | (~v90(constB37, bitIndex0)))),
% 14.30/9.55 inference(unit_resolution,[status(thm)],[8252, 8251, 8220, 8189])).
% 14.30/9.55 tff(8254,plain,
% 14.30/9.55 ((~(v120(constB37) <=> (~(v90(constB37, bitIndex2) | v90(constB37, bitIndex1) | (~v90(constB37, bitIndex0)))))) | v120(constB37) | (v90(constB37, bitIndex2) | v90(constB37, bitIndex1) | (~v90(constB37, bitIndex0)))),
% 14.30/9.55 inference(tautology,[status(thm)],[])).
% 14.30/9.55 tff(8255,plain,
% 14.30/9.55 (v120(constB37)),
% 14.30/9.55 inference(unit_resolution,[status(thm)],[8254, 8253, 3301])).
% 14.30/9.55 tff(8256,plain,
% 14.30/9.55 ((v119(constB37) | v120(constB37)) | (~v120(constB37))),
% 14.30/9.55 inference(tautology,[status(thm)],[])).
% 14.30/9.55 tff(8257,plain,
% 14.30/9.55 (v119(constB37) | v120(constB37)),
% 14.30/9.55 inference(unit_resolution,[status(thm)],[8256, 8255])).
% 14.30/9.55 tff(8258,plain,
% 14.30/9.55 ((~(v118(constB37) <=> (v119(constB37) | v120(constB37)))) | v118(constB37) | (~(v119(constB37) | v120(constB37)))),
% 14.30/9.55 inference(tautology,[status(thm)],[])).
% 14.30/9.55 tff(8259,plain,
% 14.30/9.55 (v118(constB37)),
% 14.30/9.55 inference(unit_resolution,[status(thm)],[8258, 8257, 3294])).
% 14.30/9.55 tff(8260,plain,
% 14.30/9.55 ((v118(constB37) | v121(constB37)) | (~v118(constB37))),
% 14.30/9.55 inference(tautology,[status(thm)],[])).
% 14.30/9.55 tff(8261,plain,
% 14.30/9.55 (v118(constB37) | v121(constB37)),
% 14.30/9.55 inference(unit_resolution,[status(thm)],[8260, 8259])).
% 14.30/9.55 tff(8262,plain,
% 14.30/9.55 ((~(v117(constB37) <=> (v118(constB37) | v121(constB37)))) | v117(constB37) | (~(v118(constB37) | v121(constB37)))),
% 14.30/9.55 inference(tautology,[status(thm)],[])).
% 14.30/9.55 tff(8263,plain,
% 14.30/9.55 (v117(constB37)),
% 14.30/9.55 inference(unit_resolution,[status(thm)],[8262, 8261, 3292])).
% 14.30/9.55 tff(8264,plain,
% 14.30/9.55 ((v117(constB37) | v122(constB37)) | (~v117(constB37))),
% 14.30/9.55 inference(tautology,[status(thm)],[])).
% 14.30/9.55 tff(8265,plain,
% 14.30/9.55 (v117(constB37) | v122(constB37)),
% 14.30/9.55 inference(unit_resolution,[status(thm)],[8264, 8263])).
% 14.30/9.55 tff(8266,plain,
% 14.30/9.55 ((~(v116(constB37) <=> (v117(constB37) | v122(constB37)))) | v116(constB37) | (~(v117(constB37) | v122(constB37)))),
% 14.30/9.55 inference(tautology,[status(thm)],[])).
% 14.30/9.55 tff(8267,plain,
% 14.30/9.55 (v116(constB37)),
% 14.30/9.55 inference(unit_resolution,[status(thm)],[8266, 8265, 3290])).
% 14.30/9.55 tff(8268,plain,
% 14.30/9.55 ((v116(constB37) | v123(constB37)) | (~v116(constB37))),
% 14.30/9.55 inference(tautology,[status(thm)],[])).
% 14.30/9.55 tff(8269,plain,
% 14.30/9.55 (v116(constB37) | v123(constB37)),
% 14.30/9.55 inference(unit_resolution,[status(thm)],[8268, 8267])).
% 14.30/9.55 tff(8270,plain,
% 14.30/9.55 ((~(v115(constB37) <=> (v116(constB37) | v123(constB37)))) | v115(constB37) | (~(v116(constB37) | v123(constB37)))),
% 14.30/9.55 inference(tautology,[status(thm)],[])).
% 14.30/9.55 tff(8271,plain,
% 14.30/9.55 (v115(constB37)),
% 14.30/9.55 inference(unit_resolution,[status(thm)],[8270, 8269, 3288])).
% 14.30/9.55 tff(8272,plain,
% 14.30/9.55 ((v115(constB37) | v124(constB37)) | (~v115(constB37))),
% 14.30/9.55 inference(tautology,[status(thm)],[])).
% 14.30/9.55 tff(8273,plain,
% 14.30/9.55 (v115(constB37) | v124(constB37)),
% 14.30/9.55 inference(unit_resolution,[status(thm)],[8272, 8271])).
% 14.30/9.55 tff(8274,plain,
% 14.30/9.55 ((~(v114(constB37) <=> (v115(constB37) | v124(constB37)))) | v114(constB37) | (~(v115(constB37) | v124(constB37)))),
% 14.30/9.55 inference(tautology,[status(thm)],[])).
% 14.30/9.55 tff(8275,plain,
% 14.30/9.55 (v114(constB37)),
% 14.30/9.55 inference(unit_resolution,[status(thm)],[8274, 8273, 3286])).
% 14.30/9.55 tff(8276,plain,
% 14.30/9.55 ((v114(constB37) | v125(constB37)) | (~v114(constB37))),
% 14.30/9.55 inference(tautology,[status(thm)],[])).
% 14.30/9.55 tff(8277,plain,
% 14.30/9.55 (v114(constB37) | v125(constB37)),
% 14.30/9.55 inference(unit_resolution,[status(thm)],[8276, 8275])).
% 14.30/9.55 tff(8278,plain,
% 14.30/9.55 ((~(v113(constB37) <=> (v114(constB37) | v125(constB37)))) | v113(constB37) | (~(v114(constB37) | v125(constB37)))),
% 14.30/9.55 inference(tautology,[status(thm)],[])).
% 14.30/9.55 tff(8279,plain,
% 14.30/9.55 (v113(constB37)),
% 14.30/9.55 inference(unit_resolution,[status(thm)],[8278, 8277, 3284])).
% 14.30/9.55 tff(8280,plain,
% 14.30/9.55 ((~![VarCurr: $i] : ((~v126(VarCurr)) <=> v111(VarCurr))) | ((~v126(constB37)) <=> v111(constB37))),
% 14.30/9.55 inference(quant_inst,[status(thm)],[])).
% 14.30/9.55 tff(8281,plain,
% 14.30/9.55 ((~v126(constB37)) <=> v111(constB37)),
% 14.30/9.55 inference(unit_resolution,[status(thm)],[8280, 5074])).
% 14.30/9.55 tff(8282,plain,
% 14.30/9.55 ((~![VarCurr: $i] : (v111(VarCurr) <=> v26(VarCurr))) | (v111(constB37) <=> v26(constB37))),
% 14.30/9.55 inference(quant_inst,[status(thm)],[])).
% 14.30/9.55 tff(8283,plain,
% 14.30/9.55 (v111(constB37) <=> v26(constB37)),
% 14.30/9.55 inference(unit_resolution,[status(thm)],[8282, 5086])).
% 14.30/9.55 tff(8284,plain,
% 14.30/9.55 ((~![VarCurr: $i] : (~v26(VarCurr))) | (~v26(constB37))),
% 14.30/9.55 inference(quant_inst,[status(thm)],[])).
% 14.30/9.55 tff(8285,plain,
% 14.30/9.55 (~v26(constB37)),
% 14.30/9.55 inference(unit_resolution,[status(thm)],[8284, 5098])).
% 14.30/9.55 tff(8286,plain,
% 14.30/9.55 ((~(v111(constB37) <=> v26(constB37))) | (~v111(constB37)) | v26(constB37)),
% 14.30/9.55 inference(tautology,[status(thm)],[])).
% 14.30/9.55 tff(8287,plain,
% 14.30/9.55 ((~(v111(constB37) <=> v26(constB37))) | (~v111(constB37))),
% 14.30/9.55 inference(unit_resolution,[status(thm)],[8286, 8285])).
% 14.30/9.55 tff(8288,plain,
% 14.30/9.55 (~v111(constB37)),
% 14.30/9.55 inference(unit_resolution,[status(thm)],[8287, 8283])).
% 14.30/9.55 tff(8289,plain,
% 14.30/9.55 ((~((~v126(constB37)) <=> v111(constB37))) | v126(constB37) | v111(constB37)),
% 14.30/9.55 inference(tautology,[status(thm)],[])).
% 14.30/9.55 tff(8290,plain,
% 14.30/9.55 ((~((~v126(constB37)) <=> v111(constB37))) | v126(constB37)),
% 14.30/9.55 inference(unit_resolution,[status(thm)],[8289, 8288])).
% 14.30/9.55 tff(8291,plain,
% 14.30/9.55 (v126(constB37)),
% 14.30/9.55 inference(unit_resolution,[status(thm)],[8290, 8281])).
% 14.30/9.55 tff(8292,plain,
% 14.30/9.55 ((~((~v113(constB37)) | (~v126(constB37)))) | (~v113(constB37)) | (~v126(constB37))),
% 14.30/9.55 inference(tautology,[status(thm)],[])).
% 14.30/9.55 tff(8293,plain,
% 14.30/9.55 ((~((~v113(constB37)) | (~v126(constB37)))) | (~v113(constB37))),
% 14.30/9.55 inference(unit_resolution,[status(thm)],[8292, 8291])).
% 14.30/9.55 tff(8294,plain,
% 14.30/9.55 (~((~v113(constB37)) | (~v126(constB37)))),
% 14.30/9.55 inference(unit_resolution,[status(thm)],[8293, 8279])).
% 14.30/9.55 tff(8295,plain,
% 14.30/9.55 ((~(v112(constB37) <=> (~((~v113(constB37)) | (~v126(constB37)))))) | v112(constB37) | ((~v113(constB37)) | (~v126(constB37)))),
% 14.30/9.55 inference(tautology,[status(thm)],[])).
% 14.30/9.55 tff(8296,plain,
% 14.30/9.55 (v112(constB37)),
% 14.30/9.55 inference(unit_resolution,[status(thm)],[8295, 8294, 3282])).
% 14.30/9.55 tff(8297,plain,
% 14.30/9.55 ((v111(constB37) | v112(constB37)) | (~v112(constB37))),
% 14.30/9.55 inference(tautology,[status(thm)],[])).
% 14.30/9.55 tff(8298,plain,
% 14.30/9.55 (v111(constB37) | v112(constB37)),
% 14.30/9.55 inference(unit_resolution,[status(thm)],[8297, 8296])).
% 14.30/9.55 tff(8299,plain,
% 14.30/9.55 ((~(v108(constB37) <=> (v111(constB37) | v112(constB37)))) | v108(constB37) | (~(v111(constB37) | v112(constB37)))),
% 14.30/9.55 inference(tautology,[status(thm)],[])).
% 14.30/9.55 tff(8300,plain,
% 14.30/9.55 (v108(constB37)),
% 14.30/9.55 inference(unit_resolution,[status(thm)],[8299, 8298, 3280])).
% 14.30/9.55 tff(8301,plain,
% 14.30/9.55 ((~(v110(constB38) <=> v108(constB37))) | v110(constB38) | (~v108(constB37))),
% 14.30/9.55 inference(tautology,[status(thm)],[])).
% 14.30/9.55 tff(8302,plain,
% 14.30/9.55 (v110(constB38)),
% 14.30/9.55 inference(unit_resolution,[status(thm)],[8301, 8300, 3278])).
% 14.30/9.55 tff(8303,plain,
% 14.30/9.55 ((~((~v101(constB38)) | (~v110(constB38)))) | (~v101(constB38)) | (~v110(constB38))),
% 14.30/9.55 inference(tautology,[status(thm)],[])).
% 14.30/9.55 tff(8304,plain,
% 14.30/9.55 (~((~v101(constB38)) | (~v110(constB38)))),
% 14.30/9.55 inference(unit_resolution,[status(thm)],[8303, 8302, 3274])).
% 14.30/9.55 tff(8305,plain,
% 14.30/9.55 ((~(v100(constB38) <=> (~((~v101(constB38)) | (~v110(constB38)))))) | v100(constB38) | ((~v101(constB38)) | (~v110(constB38)))),
% 14.30/9.55 inference(tautology,[status(thm)],[])).
% 14.30/9.55 tff(8306,plain,
% 14.30/9.55 (v100(constB38)),
% 14.30/9.55 inference(unit_resolution,[status(thm)],[8305, 8304, 3243])).
% 14.30/9.55 tff(8307,plain,
% 14.30/9.55 (((~![VarNext: $i] : ((~v100(VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v129(VarNext, B))))) | ((~v100(constB38)) | ![B: $i] : ((~less_3(B)) | (v90(constB38, B) <=> v129(constB38, B))))) <=> ((~![VarNext: $i] : ((~v100(VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v129(VarNext, B))))) | (~v100(constB38)) | ![B: $i] : ((~less_3(B)) | (v90(constB38, B) <=> v129(constB38, B))))),
% 14.30/9.55 inference(rewrite,[status(thm)],[])).
% 14.30/9.55 tff(8308,plain,
% 14.30/9.55 ((~![VarNext: $i] : ((~v100(VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v129(VarNext, B))))) | ((~v100(constB38)) | ![B: $i] : ((~less_3(B)) | (v90(constB38, B) <=> v129(constB38, B))))),
% 14.30/9.55 inference(quant_inst,[status(thm)],[])).
% 14.30/9.55 tff(8309,plain,
% 14.30/9.55 ((~![VarNext: $i] : ((~v100(VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v129(VarNext, B))))) | (~v100(constB38)) | ![B: $i] : ((~less_3(B)) | (v90(constB38, B) <=> v129(constB38, B)))),
% 14.30/9.55 inference(modus_ponens,[status(thm)],[8308, 8307])).
% 14.30/9.55 tff(8310,plain,
% 14.30/9.55 ((~v100(constB38)) | ![B: $i] : ((~less_3(B)) | (v90(constB38, B) <=> v129(constB38, B)))),
% 14.30/9.55 inference(unit_resolution,[status(thm)],[8309, 5134])).
% 14.30/9.55 tff(8311,plain,
% 14.30/9.55 (![B: $i] : ((~less_3(B)) | (v90(constB38, B) <=> v129(constB38, B)))),
% 14.30/9.55 inference(unit_resolution,[status(thm)],[8310, 8306])).
% 14.30/9.55 tff(8312,plain,
% 14.30/9.55 (((~![B: $i] : ((~less_3(B)) | (v90(constB38, B) <=> v129(constB38, B)))) | ((~less_3(bitIndex2)) | (v90(constB38, bitIndex2) <=> v129(constB38, bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v90(constB38, B) <=> v129(constB38, B)))) | (~less_3(bitIndex2)) | (v90(constB38, bitIndex2) <=> v129(constB38, bitIndex2)))),
% 14.30/9.55 inference(rewrite,[status(thm)],[])).
% 14.30/9.55 tff(8313,plain,
% 14.30/9.55 ((~![B: $i] : ((~less_3(B)) | (v90(constB38, B) <=> v129(constB38, B)))) | ((~less_3(bitIndex2)) | (v90(constB38, bitIndex2) <=> v129(constB38, bitIndex2)))),
% 14.30/9.55 inference(quant_inst,[status(thm)],[])).
% 14.30/9.55 tff(8314,plain,
% 14.30/9.55 ((~![B: $i] : ((~less_3(B)) | (v90(constB38, B) <=> v129(constB38, B)))) | (~less_3(bitIndex2)) | (v90(constB38, bitIndex2) <=> v129(constB38, bitIndex2))),
% 14.30/9.55 inference(modus_ponens,[status(thm)],[8313, 8312])).
% 14.30/9.55 tff(8315,plain,
% 14.30/9.55 (v90(constB38, bitIndex2) <=> v129(constB38, bitIndex2)),
% 14.30/9.55 inference(unit_resolution,[status(thm)],[8314, 413, 8311])).
% 14.30/9.55 tff(8316,plain,
% 14.30/9.55 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v129(VarNext, B) <=> v127(VarCurr, B))))) | ((~nextState(constB37, constB38)) | ![B: $i] : ((~less_3(B)) | (v129(constB38, B) <=> v127(constB37, B))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v129(VarNext, B) <=> v127(VarCurr, B))))) | (~nextState(constB37, constB38)) | ![B: $i] : ((~less_3(B)) | (v129(constB38, B) <=> v127(constB37, B))))),
% 14.30/9.55 inference(rewrite,[status(thm)],[])).
% 14.30/9.55 tff(8317,plain,
% 14.30/9.55 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v129(VarNext, B) <=> v127(VarCurr, B))))) | ((~nextState(constB37, constB38)) | ![B: $i] : ((~less_3(B)) | (v129(constB38, B) <=> v127(constB37, B))))),
% 14.30/9.55 inference(quant_inst,[status(thm)],[])).
% 14.30/9.55 tff(8318,plain,
% 14.30/9.55 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v129(VarNext, B) <=> v127(VarCurr, B))))) | (~nextState(constB37, constB38)) | ![B: $i] : ((~less_3(B)) | (v129(constB38, B) <=> v127(constB37, B)))),
% 14.30/9.55 inference(modus_ponens,[status(thm)],[8317, 8316])).
% 14.30/9.55 tff(8319,plain,
% 14.30/9.55 (![B: $i] : ((~less_3(B)) | (v129(constB38, B) <=> v127(constB37, B)))),
% 14.30/9.55 inference(unit_resolution,[status(thm)],[8318, 3239, 5156])).
% 14.30/9.55 tff(8320,plain,
% 14.30/9.55 (((~![B: $i] : ((~less_3(B)) | (v129(constB38, B) <=> v127(constB37, B)))) | ((~less_3(bitIndex2)) | (v129(constB38, bitIndex2) <=> v127(constB37, bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v129(constB38, B) <=> v127(constB37, B)))) | (~less_3(bitIndex2)) | (v129(constB38, bitIndex2) <=> v127(constB37, bitIndex2)))),
% 14.30/9.55 inference(rewrite,[status(thm)],[])).
% 14.30/9.55 tff(8321,plain,
% 14.30/9.55 ((~![B: $i] : ((~less_3(B)) | (v129(constB38, B) <=> v127(constB37, B)))) | ((~less_3(bitIndex2)) | (v129(constB38, bitIndex2) <=> v127(constB37, bitIndex2)))),
% 14.30/9.55 inference(quant_inst,[status(thm)],[])).
% 14.30/9.55 tff(8322,plain,
% 14.30/9.55 ((~![B: $i] : ((~less_3(B)) | (v129(constB38, B) <=> v127(constB37, B)))) | (~less_3(bitIndex2)) | (v129(constB38, bitIndex2) <=> v127(constB37, bitIndex2))),
% 14.30/9.55 inference(modus_ponens,[status(thm)],[8321, 8320])).
% 14.30/9.55 tff(8323,plain,
% 14.30/9.55 (v129(constB38, bitIndex2) <=> v127(constB37, bitIndex2)),
% 14.30/9.55 inference(unit_resolution,[status(thm)],[8322, 413, 8319])).
% 14.30/9.55 tff(8324,plain,
% 14.30/9.55 (((~![VarCurr: $i] : (v111(VarCurr) | ![B: $i] : ((~less_3(B)) | (v127(VarCurr, B) <=> v130(VarCurr, B))))) | (v111(constB37) | ![B: $i] : ((~less_3(B)) | (v127(constB37, B) <=> v130(constB37, B))))) <=> ((~![VarCurr: $i] : (v111(VarCurr) | ![B: $i] : ((~less_3(B)) | (v127(VarCurr, B) <=> v130(VarCurr, B))))) | v111(constB37) | ![B: $i] : ((~less_3(B)) | (v127(constB37, B) <=> v130(constB37, B))))),
% 14.30/9.55 inference(rewrite,[status(thm)],[])).
% 14.30/9.55 tff(8325,plain,
% 14.30/9.55 ((~![VarCurr: $i] : (v111(VarCurr) | ![B: $i] : ((~less_3(B)) | (v127(VarCurr, B) <=> v130(VarCurr, B))))) | (v111(constB37) | ![B: $i] : ((~less_3(B)) | (v127(constB37, B) <=> v130(constB37, B))))),
% 14.30/9.55 inference(quant_inst,[status(thm)],[])).
% 14.30/9.55 tff(8326,plain,
% 14.30/9.55 ((~![VarCurr: $i] : (v111(VarCurr) | ![B: $i] : ((~less_3(B)) | (v127(VarCurr, B) <=> v130(VarCurr, B))))) | v111(constB37) | ![B: $i] : ((~less_3(B)) | (v127(constB37, B) <=> v130(constB37, B)))),
% 14.30/9.55 inference(modus_ponens,[status(thm)],[8325, 8324])).
% 14.30/9.55 tff(8327,plain,
% 14.30/9.55 (![B: $i] : ((~less_3(B)) | (v127(constB37, B) <=> v130(constB37, B)))),
% 14.30/9.55 inference(unit_resolution,[status(thm)],[8326, 5177, 8288])).
% 14.30/9.55 tff(8328,plain,
% 14.30/9.55 (((~![B: $i] : ((~less_3(B)) | (v127(constB37, B) <=> v130(constB37, B)))) | ((~less_3(bitIndex2)) | (v127(constB37, bitIndex2) <=> v130(constB37, bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v127(constB37, B) <=> v130(constB37, B)))) | (~less_3(bitIndex2)) | (v127(constB37, bitIndex2) <=> v130(constB37, bitIndex2)))),
% 14.30/9.55 inference(rewrite,[status(thm)],[])).
% 14.30/9.55 tff(8329,plain,
% 14.30/9.55 ((~![B: $i] : ((~less_3(B)) | (v127(constB37, B) <=> v130(constB37, B)))) | ((~less_3(bitIndex2)) | (v127(constB37, bitIndex2) <=> v130(constB37, bitIndex2)))),
% 14.30/9.55 inference(quant_inst,[status(thm)],[])).
% 14.30/9.55 tff(8330,plain,
% 14.30/9.55 ((~![B: $i] : ((~less_3(B)) | (v127(constB37, B) <=> v130(constB37, B)))) | (~less_3(bitIndex2)) | (v127(constB37, bitIndex2) <=> v130(constB37, bitIndex2))),
% 14.30/9.55 inference(modus_ponens,[status(thm)],[8329, 8328])).
% 14.30/9.55 tff(8331,plain,
% 14.30/9.55 (v127(constB37, bitIndex2) <=> v130(constB37, bitIndex2)),
% 14.30/9.55 inference(unit_resolution,[status(thm)],[8330, 413, 8327])).
% 14.30/9.55 tff(8332,plain,
% 14.30/9.55 (((~![VarCurr: $i] : ((~v120(VarCurr)) | ![B: $i] : ((~less_3(B)) | (v130(VarCurr, B) <=> b010(B))))) | ((~v120(constB37)) | ![B: $i] : ((~less_3(B)) | (v130(constB37, B) <=> b010(B))))) <=> ((~![VarCurr: $i] : ((~v120(VarCurr)) | ![B: $i] : ((~less_3(B)) | (v130(VarCurr, B) <=> b010(B))))) | (~v120(constB37)) | ![B: $i] : ((~less_3(B)) | (v130(constB37, B) <=> b010(B))))),
% 14.30/9.55 inference(rewrite,[status(thm)],[])).
% 14.30/9.55 tff(8333,plain,
% 14.30/9.55 ((~![VarCurr: $i] : ((~v120(VarCurr)) | ![B: $i] : ((~less_3(B)) | (v130(VarCurr, B) <=> b010(B))))) | ((~v120(constB37)) | ![B: $i] : ((~less_3(B)) | (v130(constB37, B) <=> b010(B))))),
% 14.30/9.55 inference(quant_inst,[status(thm)],[])).
% 14.30/9.55 tff(8334,plain,
% 14.30/9.55 ((~![VarCurr: $i] : ((~v120(VarCurr)) | ![B: $i] : ((~less_3(B)) | (v130(VarCurr, B) <=> b010(B))))) | (~v120(constB37)) | ![B: $i] : ((~less_3(B)) | (v130(constB37, B) <=> b010(B)))),
% 14.30/9.55 inference(modus_ponens,[status(thm)],[8333, 8332])).
% 14.30/9.55 tff(8335,plain,
% 14.30/9.55 ((~v120(constB37)) | ![B: $i] : ((~less_3(B)) | (v130(constB37, B) <=> b010(B)))),
% 14.30/9.55 inference(unit_resolution,[status(thm)],[8334, 5797])).
% 14.30/9.56 tff(8336,plain,
% 14.30/9.56 (![B: $i] : ((~less_3(B)) | (v130(constB37, B) <=> b010(B)))),
% 14.30/9.56 inference(unit_resolution,[status(thm)],[8335, 8255])).
% 14.30/9.56 tff(8337,plain,
% 14.30/9.56 (((~![B: $i] : ((~less_3(B)) | (v130(constB37, B) <=> b010(B)))) | ((~less_3(bitIndex2)) | (v130(constB37, bitIndex2) <=> b010(bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v130(constB37, B) <=> b010(B)))) | (~less_3(bitIndex2)) | (v130(constB37, bitIndex2) <=> b010(bitIndex2)))),
% 14.30/9.56 inference(rewrite,[status(thm)],[])).
% 14.30/9.56 tff(8338,plain,
% 14.30/9.56 ((~![B: $i] : ((~less_3(B)) | (v130(constB37, B) <=> b010(B)))) | ((~less_3(bitIndex2)) | (v130(constB37, bitIndex2) <=> b010(bitIndex2)))),
% 14.30/9.56 inference(quant_inst,[status(thm)],[])).
% 14.30/9.56 tff(8339,plain,
% 14.30/9.56 ((~![B: $i] : ((~less_3(B)) | (v130(constB37, B) <=> b010(B)))) | (~less_3(bitIndex2)) | (v130(constB37, bitIndex2) <=> b010(bitIndex2))),
% 14.30/9.56 inference(modus_ponens,[status(thm)],[8338, 8337])).
% 14.30/9.56 tff(8340,plain,
% 14.30/9.56 (v130(constB37, bitIndex2) <=> b010(bitIndex2)),
% 14.30/9.56 inference(unit_resolution,[status(thm)],[8339, 413, 8336])).
% 14.30/9.56 tff(8341,plain,
% 14.30/9.56 ((~(v130(constB37, bitIndex2) <=> b010(bitIndex2))) | (~v130(constB37, bitIndex2)) | b010(bitIndex2)),
% 14.30/9.56 inference(tautology,[status(thm)],[])).
% 14.30/9.56 tff(8342,plain,
% 14.30/9.56 ((~(v130(constB37, bitIndex2) <=> b010(bitIndex2))) | (~v130(constB37, bitIndex2))),
% 14.30/9.56 inference(unit_resolution,[status(thm)],[8341, 5809])).
% 14.30/9.56 tff(8343,plain,
% 14.30/9.56 (~v130(constB37, bitIndex2)),
% 14.30/9.56 inference(unit_resolution,[status(thm)],[8342, 8340])).
% 14.30/9.56 tff(8344,plain,
% 14.30/9.56 ((~(v127(constB37, bitIndex2) <=> v130(constB37, bitIndex2))) | (~v127(constB37, bitIndex2)) | v130(constB37, bitIndex2)),
% 14.30/9.56 inference(tautology,[status(thm)],[])).
% 14.30/9.56 tff(8345,plain,
% 14.30/9.56 (~v127(constB37, bitIndex2)),
% 14.30/9.56 inference(unit_resolution,[status(thm)],[8344, 8343, 8331])).
% 14.30/9.56 tff(8346,plain,
% 14.30/9.56 ((~(v129(constB38, bitIndex2) <=> v127(constB37, bitIndex2))) | (~v129(constB38, bitIndex2)) | v127(constB37, bitIndex2)),
% 14.30/9.56 inference(tautology,[status(thm)],[])).
% 14.30/9.56 tff(8347,plain,
% 14.30/9.56 (~v129(constB38, bitIndex2)),
% 14.30/9.56 inference(unit_resolution,[status(thm)],[8346, 8345, 8323])).
% 14.30/9.56 tff(8348,plain,
% 14.30/9.56 ((~(v90(constB38, bitIndex2) <=> v129(constB38, bitIndex2))) | (~v90(constB38, bitIndex2)) | v129(constB38, bitIndex2)),
% 14.30/9.56 inference(tautology,[status(thm)],[])).
% 14.30/9.56 tff(8349,plain,
% 14.30/9.56 (~v90(constB38, bitIndex2)),
% 14.30/9.56 inference(unit_resolution,[status(thm)],[8348, 8347, 8315])).
% 14.30/9.56 tff(8350,plain,
% 14.30/9.56 ((~(v90(constB39, bitIndex2) <=> v90(constB38, bitIndex2))) | (~v90(constB39, bitIndex2)) | v90(constB38, bitIndex2)),
% 14.30/9.56 inference(tautology,[status(thm)],[])).
% 14.30/9.56 tff(8351,plain,
% 14.30/9.56 (~v90(constB39, bitIndex2)),
% 14.30/9.56 inference(unit_resolution,[status(thm)],[8350, 8349, 3236])).
% 14.30/9.56 tff(8352,plain,
% 14.30/9.56 (((~![B: $i] : ((~less_3(B)) | (v90(constB39, B) <=> v90(constB38, B)))) | ((~less_3(bitIndex0)) | (v90(constB39, bitIndex0) <=> v90(constB38, bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v90(constB39, B) <=> v90(constB38, B)))) | (~less_3(bitIndex0)) | (v90(constB39, bitIndex0) <=> v90(constB38, bitIndex0)))),
% 14.30/9.56 inference(rewrite,[status(thm)],[])).
% 14.30/9.56 tff(8353,plain,
% 14.30/9.56 ((~![B: $i] : ((~less_3(B)) | (v90(constB39, B) <=> v90(constB38, B)))) | ((~less_3(bitIndex0)) | (v90(constB39, bitIndex0) <=> v90(constB38, bitIndex0)))),
% 14.30/9.56 inference(quant_inst,[status(thm)],[])).
% 14.30/9.56 tff(8354,plain,
% 14.30/9.56 ((~![B: $i] : ((~less_3(B)) | (v90(constB39, B) <=> v90(constB38, B)))) | (~less_3(bitIndex0)) | (v90(constB39, bitIndex0) <=> v90(constB38, bitIndex0))),
% 14.30/9.56 inference(modus_ponens,[status(thm)],[8353, 8352])).
% 14.30/9.56 tff(8355,plain,
% 14.30/9.56 (v90(constB39, bitIndex0) <=> v90(constB38, bitIndex0)),
% 14.30/9.56 inference(unit_resolution,[status(thm)],[8354, 5004, 3232])).
% 14.30/9.56 tff(8356,plain,
% 14.30/9.56 (((~![B: $i] : ((~less_3(B)) | (v90(constB38, B) <=> v129(constB38, B)))) | ((~less_3(bitIndex0)) | (v90(constB38, bitIndex0) <=> v129(constB38, bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v90(constB38, B) <=> v129(constB38, B)))) | (~less_3(bitIndex0)) | (v90(constB38, bitIndex0) <=> v129(constB38, bitIndex0)))),
% 14.30/9.56 inference(rewrite,[status(thm)],[])).
% 14.30/9.56 tff(8357,plain,
% 14.30/9.56 ((~![B: $i] : ((~less_3(B)) | (v90(constB38, B) <=> v129(constB38, B)))) | ((~less_3(bitIndex0)) | (v90(constB38, bitIndex0) <=> v129(constB38, bitIndex0)))),
% 14.30/9.56 inference(quant_inst,[status(thm)],[])).
% 14.30/9.56 tff(8358,plain,
% 14.30/9.56 ((~![B: $i] : ((~less_3(B)) | (v90(constB38, B) <=> v129(constB38, B)))) | (~less_3(bitIndex0)) | (v90(constB38, bitIndex0) <=> v129(constB38, bitIndex0))),
% 14.30/9.56 inference(modus_ponens,[status(thm)],[8357, 8356])).
% 14.30/9.56 tff(8359,plain,
% 14.30/9.56 (v90(constB38, bitIndex0) <=> v129(constB38, bitIndex0)),
% 14.30/9.56 inference(unit_resolution,[status(thm)],[8358, 5004, 8311])).
% 14.30/9.56 tff(8360,plain,
% 14.30/9.56 (((~![B: $i] : ((~less_3(B)) | (v129(constB38, B) <=> v127(constB37, B)))) | ((~less_3(bitIndex0)) | (v129(constB38, bitIndex0) <=> v127(constB37, bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v129(constB38, B) <=> v127(constB37, B)))) | (~less_3(bitIndex0)) | (v129(constB38, bitIndex0) <=> v127(constB37, bitIndex0)))),
% 14.30/9.56 inference(rewrite,[status(thm)],[])).
% 14.30/9.56 tff(8361,plain,
% 14.30/9.56 ((~![B: $i] : ((~less_3(B)) | (v129(constB38, B) <=> v127(constB37, B)))) | ((~less_3(bitIndex0)) | (v129(constB38, bitIndex0) <=> v127(constB37, bitIndex0)))),
% 14.30/9.56 inference(quant_inst,[status(thm)],[])).
% 14.30/9.56 tff(8362,plain,
% 14.30/9.56 ((~![B: $i] : ((~less_3(B)) | (v129(constB38, B) <=> v127(constB37, B)))) | (~less_3(bitIndex0)) | (v129(constB38, bitIndex0) <=> v127(constB37, bitIndex0))),
% 14.30/9.56 inference(modus_ponens,[status(thm)],[8361, 8360])).
% 14.30/9.56 tff(8363,plain,
% 14.30/9.56 (v129(constB38, bitIndex0) <=> v127(constB37, bitIndex0)),
% 14.30/9.56 inference(unit_resolution,[status(thm)],[8362, 5004, 8319])).
% 14.30/9.56 tff(8364,plain,
% 14.30/9.56 (((~![B: $i] : ((~less_3(B)) | (v127(constB37, B) <=> v130(constB37, B)))) | ((~less_3(bitIndex0)) | (v127(constB37, bitIndex0) <=> v130(constB37, bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v127(constB37, B) <=> v130(constB37, B)))) | (~less_3(bitIndex0)) | (v127(constB37, bitIndex0) <=> v130(constB37, bitIndex0)))),
% 14.30/9.56 inference(rewrite,[status(thm)],[])).
% 14.30/9.56 tff(8365,plain,
% 14.30/9.56 ((~![B: $i] : ((~less_3(B)) | (v127(constB37, B) <=> v130(constB37, B)))) | ((~less_3(bitIndex0)) | (v127(constB37, bitIndex0) <=> v130(constB37, bitIndex0)))),
% 14.30/9.56 inference(quant_inst,[status(thm)],[])).
% 14.30/9.56 tff(8366,plain,
% 14.30/9.56 ((~![B: $i] : ((~less_3(B)) | (v127(constB37, B) <=> v130(constB37, B)))) | (~less_3(bitIndex0)) | (v127(constB37, bitIndex0) <=> v130(constB37, bitIndex0))),
% 14.30/9.56 inference(modus_ponens,[status(thm)],[8365, 8364])).
% 14.30/9.56 tff(8367,plain,
% 14.30/9.56 (v127(constB37, bitIndex0) <=> v130(constB37, bitIndex0)),
% 14.30/9.56 inference(unit_resolution,[status(thm)],[8366, 5004, 8327])).
% 14.30/9.56 tff(8368,plain,
% 14.30/9.56 (((~![B: $i] : ((~less_3(B)) | (v130(constB37, B) <=> b010(B)))) | ((~less_3(bitIndex0)) | (v130(constB37, bitIndex0) <=> b010(bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v130(constB37, B) <=> b010(B)))) | (~less_3(bitIndex0)) | (v130(constB37, bitIndex0) <=> b010(bitIndex0)))),
% 14.30/9.56 inference(rewrite,[status(thm)],[])).
% 14.30/9.56 tff(8369,plain,
% 14.30/9.56 ((~![B: $i] : ((~less_3(B)) | (v130(constB37, B) <=> b010(B)))) | ((~less_3(bitIndex0)) | (v130(constB37, bitIndex0) <=> b010(bitIndex0)))),
% 14.30/9.56 inference(quant_inst,[status(thm)],[])).
% 14.30/9.56 tff(8370,plain,
% 14.30/9.56 ((~![B: $i] : ((~less_3(B)) | (v130(constB37, B) <=> b010(B)))) | (~less_3(bitIndex0)) | (v130(constB37, bitIndex0) <=> b010(bitIndex0))),
% 14.30/9.56 inference(modus_ponens,[status(thm)],[8369, 8368])).
% 14.30/9.56 tff(8371,plain,
% 14.30/9.56 (v130(constB37, bitIndex0) <=> b010(bitIndex0)),
% 14.30/9.56 inference(unit_resolution,[status(thm)],[8370, 5004, 8336])).
% 14.30/9.56 tff(8372,plain,
% 14.30/9.56 ((~(v130(constB37, bitIndex0) <=> b010(bitIndex0))) | (~v130(constB37, bitIndex0)) | b010(bitIndex0)),
% 14.30/9.56 inference(tautology,[status(thm)],[])).
% 14.30/9.56 tff(8373,plain,
% 14.30/9.56 ((~(v130(constB37, bitIndex0) <=> b010(bitIndex0))) | (~v130(constB37, bitIndex0))),
% 14.30/9.56 inference(unit_resolution,[status(thm)],[8372, 5843])).
% 14.30/9.56 tff(8374,plain,
% 14.30/9.56 (~v130(constB37, bitIndex0)),
% 14.30/9.56 inference(unit_resolution,[status(thm)],[8373, 8371])).
% 14.30/9.56 tff(8375,plain,
% 14.30/9.56 ((~(v127(constB37, bitIndex0) <=> v130(constB37, bitIndex0))) | (~v127(constB37, bitIndex0)) | v130(constB37, bitIndex0)),
% 14.30/9.56 inference(tautology,[status(thm)],[])).
% 14.30/9.56 tff(8376,plain,
% 14.30/9.56 (~v127(constB37, bitIndex0)),
% 14.30/9.56 inference(unit_resolution,[status(thm)],[8375, 8374, 8367])).
% 14.30/9.56 tff(8377,plain,
% 14.30/9.56 ((~(v129(constB38, bitIndex0) <=> v127(constB37, bitIndex0))) | (~v129(constB38, bitIndex0)) | v127(constB37, bitIndex0)),
% 14.30/9.56 inference(tautology,[status(thm)],[])).
% 14.30/9.56 tff(8378,plain,
% 14.30/9.56 (~v129(constB38, bitIndex0)),
% 14.30/9.56 inference(unit_resolution,[status(thm)],[8377, 8376, 8363])).
% 14.30/9.56 tff(8379,plain,
% 14.30/9.56 ((~(v90(constB38, bitIndex0) <=> v129(constB38, bitIndex0))) | (~v90(constB38, bitIndex0)) | v129(constB38, bitIndex0)),
% 14.30/9.56 inference(tautology,[status(thm)],[])).
% 14.30/9.56 tff(8380,plain,
% 14.30/9.56 (~v90(constB38, bitIndex0)),
% 14.30/9.56 inference(unit_resolution,[status(thm)],[8379, 8378, 8359])).
% 14.30/9.56 tff(8381,plain,
% 14.30/9.56 ((~(v90(constB39, bitIndex0) <=> v90(constB38, bitIndex0))) | (~v90(constB39, bitIndex0)) | v90(constB38, bitIndex0)),
% 14.30/9.56 inference(tautology,[status(thm)],[])).
% 14.30/9.56 tff(8382,plain,
% 14.30/9.56 (~v90(constB39, bitIndex0)),
% 14.30/9.56 inference(unit_resolution,[status(thm)],[8381, 8380, 8355])).
% 14.30/9.56 tff(8383,plain,
% 14.30/9.56 (((~![B: $i] : ((~less_3(B)) | (v90(constB39, B) <=> v90(constB38, B)))) | ((~less_3(bitIndex1)) | (v90(constB39, bitIndex1) <=> v90(constB38, bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v90(constB39, B) <=> v90(constB38, B)))) | (~less_3(bitIndex1)) | (v90(constB39, bitIndex1) <=> v90(constB38, bitIndex1)))),
% 14.30/9.56 inference(rewrite,[status(thm)],[])).
% 14.30/9.56 tff(8384,plain,
% 14.30/9.56 ((~![B: $i] : ((~less_3(B)) | (v90(constB39, B) <=> v90(constB38, B)))) | ((~less_3(bitIndex1)) | (v90(constB39, bitIndex1) <=> v90(constB38, bitIndex1)))),
% 14.30/9.56 inference(quant_inst,[status(thm)],[])).
% 14.30/9.56 tff(8385,plain,
% 14.30/9.56 ((~![B: $i] : ((~less_3(B)) | (v90(constB39, B) <=> v90(constB38, B)))) | (~less_3(bitIndex1)) | (v90(constB39, bitIndex1) <=> v90(constB38, bitIndex1))),
% 14.30/9.56 inference(modus_ponens,[status(thm)],[8384, 8383])).
% 14.30/9.56 tff(8386,plain,
% 14.30/9.56 (v90(constB39, bitIndex1) <=> v90(constB38, bitIndex1)),
% 14.30/9.56 inference(unit_resolution,[status(thm)],[8385, 5017, 3232])).
% 14.30/9.56 tff(8387,plain,
% 14.30/9.56 (((~![B: $i] : ((~less_3(B)) | (v90(constB38, B) <=> v129(constB38, B)))) | ((~less_3(bitIndex1)) | (v90(constB38, bitIndex1) <=> v129(constB38, bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v90(constB38, B) <=> v129(constB38, B)))) | (~less_3(bitIndex1)) | (v90(constB38, bitIndex1) <=> v129(constB38, bitIndex1)))),
% 14.30/9.56 inference(rewrite,[status(thm)],[])).
% 14.30/9.56 tff(8388,plain,
% 14.30/9.56 ((~![B: $i] : ((~less_3(B)) | (v90(constB38, B) <=> v129(constB38, B)))) | ((~less_3(bitIndex1)) | (v90(constB38, bitIndex1) <=> v129(constB38, bitIndex1)))),
% 14.30/9.56 inference(quant_inst,[status(thm)],[])).
% 14.30/9.56 tff(8389,plain,
% 14.30/9.56 ((~![B: $i] : ((~less_3(B)) | (v90(constB38, B) <=> v129(constB38, B)))) | (~less_3(bitIndex1)) | (v90(constB38, bitIndex1) <=> v129(constB38, bitIndex1))),
% 14.30/9.56 inference(modus_ponens,[status(thm)],[8388, 8387])).
% 14.30/9.56 tff(8390,plain,
% 14.30/9.56 (v90(constB38, bitIndex1) <=> v129(constB38, bitIndex1)),
% 14.30/9.56 inference(unit_resolution,[status(thm)],[8389, 5017, 8311])).
% 14.30/9.56 tff(8391,plain,
% 14.30/9.56 (((~![B: $i] : ((~less_3(B)) | (v129(constB38, B) <=> v127(constB37, B)))) | ((~less_3(bitIndex1)) | (v129(constB38, bitIndex1) <=> v127(constB37, bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v129(constB38, B) <=> v127(constB37, B)))) | (~less_3(bitIndex1)) | (v129(constB38, bitIndex1) <=> v127(constB37, bitIndex1)))),
% 14.30/9.56 inference(rewrite,[status(thm)],[])).
% 14.30/9.56 tff(8392,plain,
% 14.30/9.56 ((~![B: $i] : ((~less_3(B)) | (v129(constB38, B) <=> v127(constB37, B)))) | ((~less_3(bitIndex1)) | (v129(constB38, bitIndex1) <=> v127(constB37, bitIndex1)))),
% 14.30/9.56 inference(quant_inst,[status(thm)],[])).
% 14.30/9.56 tff(8393,plain,
% 14.30/9.56 ((~![B: $i] : ((~less_3(B)) | (v129(constB38, B) <=> v127(constB37, B)))) | (~less_3(bitIndex1)) | (v129(constB38, bitIndex1) <=> v127(constB37, bitIndex1))),
% 14.30/9.56 inference(modus_ponens,[status(thm)],[8392, 8391])).
% 14.30/9.56 tff(8394,plain,
% 14.30/9.56 (v129(constB38, bitIndex1) <=> v127(constB37, bitIndex1)),
% 14.30/9.56 inference(unit_resolution,[status(thm)],[8393, 5017, 8319])).
% 14.30/9.56 tff(8395,plain,
% 14.30/9.56 (((~![B: $i] : ((~less_3(B)) | (v127(constB37, B) <=> v130(constB37, B)))) | ((~less_3(bitIndex1)) | (v127(constB37, bitIndex1) <=> v130(constB37, bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v127(constB37, B) <=> v130(constB37, B)))) | (~less_3(bitIndex1)) | (v127(constB37, bitIndex1) <=> v130(constB37, bitIndex1)))),
% 14.30/9.56 inference(rewrite,[status(thm)],[])).
% 14.30/9.56 tff(8396,plain,
% 14.30/9.56 ((~![B: $i] : ((~less_3(B)) | (v127(constB37, B) <=> v130(constB37, B)))) | ((~less_3(bitIndex1)) | (v127(constB37, bitIndex1) <=> v130(constB37, bitIndex1)))),
% 14.30/9.56 inference(quant_inst,[status(thm)],[])).
% 14.30/9.56 tff(8397,plain,
% 14.30/9.56 ((~![B: $i] : ((~less_3(B)) | (v127(constB37, B) <=> v130(constB37, B)))) | (~less_3(bitIndex1)) | (v127(constB37, bitIndex1) <=> v130(constB37, bitIndex1))),
% 14.30/9.56 inference(modus_ponens,[status(thm)],[8396, 8395])).
% 14.30/9.56 tff(8398,plain,
% 14.30/9.56 (v127(constB37, bitIndex1) <=> v130(constB37, bitIndex1)),
% 14.30/9.56 inference(unit_resolution,[status(thm)],[8397, 5017, 8327])).
% 14.30/9.56 tff(8399,plain,
% 14.30/9.56 (((~![B: $i] : ((~less_3(B)) | (v130(constB37, B) <=> b010(B)))) | ((~less_3(bitIndex1)) | (v130(constB37, bitIndex1) <=> b010(bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v130(constB37, B) <=> b010(B)))) | (~less_3(bitIndex1)) | (v130(constB37, bitIndex1) <=> b010(bitIndex1)))),
% 14.30/9.56 inference(rewrite,[status(thm)],[])).
% 14.30/9.56 tff(8400,plain,
% 14.30/9.56 ((~![B: $i] : ((~less_3(B)) | (v130(constB37, B) <=> b010(B)))) | ((~less_3(bitIndex1)) | (v130(constB37, bitIndex1) <=> b010(bitIndex1)))),
% 14.30/9.56 inference(quant_inst,[status(thm)],[])).
% 14.30/9.56 tff(8401,plain,
% 14.30/9.56 ((~![B: $i] : ((~less_3(B)) | (v130(constB37, B) <=> b010(B)))) | (~less_3(bitIndex1)) | (v130(constB37, bitIndex1) <=> b010(bitIndex1))),
% 14.30/9.56 inference(modus_ponens,[status(thm)],[8400, 8399])).
% 14.30/9.56 tff(8402,plain,
% 14.30/9.56 (v130(constB37, bitIndex1) <=> b010(bitIndex1)),
% 14.30/9.56 inference(unit_resolution,[status(thm)],[8401, 5017, 8336])).
% 14.30/9.56 tff(8403,plain,
% 14.30/9.56 ((~(v130(constB37, bitIndex1) <=> b010(bitIndex1))) | v130(constB37, bitIndex1) | (~b010(bitIndex1))),
% 14.30/9.56 inference(tautology,[status(thm)],[])).
% 14.30/9.56 tff(8404,plain,
% 14.30/9.56 ((~(v130(constB37, bitIndex1) <=> b010(bitIndex1))) | v130(constB37, bitIndex1)),
% 14.30/9.56 inference(unit_resolution,[status(thm)],[8403, 5877])).
% 14.30/9.56 tff(8405,plain,
% 14.30/9.56 (v130(constB37, bitIndex1)),
% 14.30/9.56 inference(unit_resolution,[status(thm)],[8404, 8402])).
% 14.30/9.56 tff(8406,plain,
% 14.30/9.56 ((~(v127(constB37, bitIndex1) <=> v130(constB37, bitIndex1))) | v127(constB37, bitIndex1) | (~v130(constB37, bitIndex1))),
% 14.30/9.56 inference(tautology,[status(thm)],[])).
% 14.30/9.56 tff(8407,plain,
% 14.30/9.56 (v127(constB37, bitIndex1)),
% 14.30/9.56 inference(unit_resolution,[status(thm)],[8406, 8405, 8398])).
% 14.30/9.56 tff(8408,plain,
% 14.30/9.56 ((~(v129(constB38, bitIndex1) <=> v127(constB37, bitIndex1))) | v129(constB38, bitIndex1) | (~v127(constB37, bitIndex1))),
% 14.30/9.56 inference(tautology,[status(thm)],[])).
% 14.30/9.56 tff(8409,plain,
% 14.30/9.56 (v129(constB38, bitIndex1)),
% 14.30/9.56 inference(unit_resolution,[status(thm)],[8408, 8407, 8394])).
% 14.30/9.56 tff(8410,plain,
% 14.30/9.56 ((~(v90(constB38, bitIndex1) <=> v129(constB38, bitIndex1))) | v90(constB38, bitIndex1) | (~v129(constB38, bitIndex1))),
% 14.30/9.56 inference(tautology,[status(thm)],[])).
% 14.30/9.56 tff(8411,plain,
% 14.30/9.56 (v90(constB38, bitIndex1)),
% 14.30/9.56 inference(unit_resolution,[status(thm)],[8410, 8409, 8390])).
% 14.30/9.56 tff(8412,plain,
% 14.30/9.56 ((~(v90(constB39, bitIndex1) <=> v90(constB38, bitIndex1))) | v90(constB39, bitIndex1) | (~v90(constB38, bitIndex1))),
% 14.30/9.56 inference(tautology,[status(thm)],[])).
% 14.30/9.56 tff(8413,plain,
% 14.30/9.56 (v90(constB39, bitIndex1)),
% 14.30/9.56 inference(unit_resolution,[status(thm)],[8412, 8411, 8386])).
% 14.30/9.56 tff(8414,plain,
% 14.30/9.56 ((~(v90(constB39, bitIndex2) | (~v90(constB39, bitIndex1)) | v90(constB39, bitIndex0))) | v90(constB39, bitIndex2) | (~v90(constB39, bitIndex1)) | v90(constB39, bitIndex0)),
% 14.30/9.56 inference(tautology,[status(thm)],[])).
% 14.30/9.56 tff(8415,plain,
% 14.30/9.56 (~(v90(constB39, bitIndex2) | (~v90(constB39, bitIndex1)) | v90(constB39, bitIndex0))),
% 14.30/9.56 inference(unit_resolution,[status(thm)],[8414, 8413, 8382, 8351])).
% 14.30/9.56 tff(8416,plain,
% 14.30/9.56 ((~(v121(constB39) <=> (~(v90(constB39, bitIndex2) | (~v90(constB39, bitIndex1)) | v90(constB39, bitIndex0))))) | v121(constB39) | (v90(constB39, bitIndex2) | (~v90(constB39, bitIndex1)) | v90(constB39, bitIndex0))),
% 14.30/9.56 inference(tautology,[status(thm)],[])).
% 14.30/9.56 tff(8417,plain,
% 14.30/9.56 (v121(constB39)),
% 14.30/9.56 inference(unit_resolution,[status(thm)],[8416, 8415, 3204])).
% 14.30/9.56 tff(8418,plain,
% 14.30/9.56 ((v118(constB39) | v121(constB39)) | (~v121(constB39))),
% 14.30/9.56 inference(tautology,[status(thm)],[])).
% 14.30/9.56 tff(8419,plain,
% 14.30/9.56 (v118(constB39) | v121(constB39)),
% 14.30/9.56 inference(unit_resolution,[status(thm)],[8418, 8417])).
% 14.30/9.56 tff(8420,plain,
% 14.30/9.56 ((~(v117(constB39) <=> (v118(constB39) | v121(constB39)))) | v117(constB39) | (~(v118(constB39) | v121(constB39)))),
% 14.30/9.56 inference(tautology,[status(thm)],[])).
% 14.30/9.56 tff(8421,plain,
% 14.30/9.56 (v117(constB39)),
% 14.30/9.56 inference(unit_resolution,[status(thm)],[8420, 8419, 3197])).
% 14.30/9.56 tff(8422,plain,
% 14.30/9.56 ((v117(constB39) | v122(constB39)) | (~v117(constB39))),
% 14.30/9.56 inference(tautology,[status(thm)],[])).
% 14.30/9.56 tff(8423,plain,
% 14.30/9.56 (v117(constB39) | v122(constB39)),
% 14.30/9.56 inference(unit_resolution,[status(thm)],[8422, 8421])).
% 14.30/9.56 tff(8424,plain,
% 14.30/9.56 ((~(v116(constB39) <=> (v117(constB39) | v122(constB39)))) | v116(constB39) | (~(v117(constB39) | v122(constB39)))),
% 14.30/9.56 inference(tautology,[status(thm)],[])).
% 14.30/9.56 tff(8425,plain,
% 14.30/9.56 (v116(constB39)),
% 14.30/9.56 inference(unit_resolution,[status(thm)],[8424, 8423, 3195])).
% 14.30/9.56 tff(8426,plain,
% 14.30/9.56 ((v116(constB39) | v123(constB39)) | (~v116(constB39))),
% 14.30/9.56 inference(tautology,[status(thm)],[])).
% 14.30/9.56 tff(8427,plain,
% 14.30/9.56 (v116(constB39) | v123(constB39)),
% 14.30/9.56 inference(unit_resolution,[status(thm)],[8426, 8425])).
% 14.30/9.56 tff(8428,plain,
% 14.30/9.56 ((~(v115(constB39) <=> (v116(constB39) | v123(constB39)))) | v115(constB39) | (~(v116(constB39) | v123(constB39)))),
% 14.30/9.56 inference(tautology,[status(thm)],[])).
% 14.30/9.56 tff(8429,plain,
% 14.30/9.56 (v115(constB39)),
% 14.30/9.56 inference(unit_resolution,[status(thm)],[8428, 8427, 3193])).
% 14.30/9.56 tff(8430,plain,
% 14.30/9.56 ((v115(constB39) | v124(constB39)) | (~v115(constB39))),
% 14.30/9.56 inference(tautology,[status(thm)],[])).
% 14.30/9.56 tff(8431,plain,
% 14.30/9.56 (v115(constB39) | v124(constB39)),
% 14.30/9.56 inference(unit_resolution,[status(thm)],[8430, 8429])).
% 14.30/9.56 tff(8432,plain,
% 14.30/9.56 ((~(v114(constB39) <=> (v115(constB39) | v124(constB39)))) | v114(constB39) | (~(v115(constB39) | v124(constB39)))),
% 14.30/9.56 inference(tautology,[status(thm)],[])).
% 14.30/9.56 tff(8433,plain,
% 14.30/9.56 (v114(constB39)),
% 14.30/9.56 inference(unit_resolution,[status(thm)],[8432, 8431, 3191])).
% 14.30/9.56 tff(8434,plain,
% 14.30/9.56 ((v114(constB39) | v125(constB39)) | (~v114(constB39))),
% 14.30/9.56 inference(tautology,[status(thm)],[])).
% 14.30/9.56 tff(8435,plain,
% 14.30/9.56 (v114(constB39) | v125(constB39)),
% 14.30/9.56 inference(unit_resolution,[status(thm)],[8434, 8433])).
% 14.30/9.56 tff(8436,plain,
% 14.30/9.56 ((~(v113(constB39) <=> (v114(constB39) | v125(constB39)))) | v113(constB39) | (~(v114(constB39) | v125(constB39)))),
% 14.30/9.56 inference(tautology,[status(thm)],[])).
% 14.30/9.56 tff(8437,plain,
% 14.30/9.56 (v113(constB39)),
% 14.30/9.56 inference(unit_resolution,[status(thm)],[8436, 8435, 3189])).
% 14.30/9.56 tff(8438,plain,
% 14.30/9.56 ((~![VarCurr: $i] : ((~v126(VarCurr)) <=> v111(VarCurr))) | ((~v126(constB39)) <=> v111(constB39))),
% 14.30/9.56 inference(quant_inst,[status(thm)],[])).
% 14.30/9.56 tff(8439,plain,
% 14.30/9.56 ((~v126(constB39)) <=> v111(constB39)),
% 14.30/9.56 inference(unit_resolution,[status(thm)],[8438, 5074])).
% 14.30/9.56 tff(8440,plain,
% 14.30/9.56 ((~![VarCurr: $i] : (v111(VarCurr) <=> v26(VarCurr))) | (v111(constB39) <=> v26(constB39))),
% 14.30/9.56 inference(quant_inst,[status(thm)],[])).
% 14.30/9.56 tff(8441,plain,
% 14.30/9.56 (v111(constB39) <=> v26(constB39)),
% 14.30/9.56 inference(unit_resolution,[status(thm)],[8440, 5086])).
% 14.30/9.56 tff(8442,plain,
% 14.30/9.56 ((~![VarCurr: $i] : (~v26(VarCurr))) | (~v26(constB39))),
% 14.30/9.56 inference(quant_inst,[status(thm)],[])).
% 14.30/9.56 tff(8443,plain,
% 14.30/9.56 (~v26(constB39)),
% 14.30/9.56 inference(unit_resolution,[status(thm)],[8442, 5098])).
% 14.30/9.56 tff(8444,plain,
% 14.30/9.56 ((~(v111(constB39) <=> v26(constB39))) | (~v111(constB39)) | v26(constB39)),
% 14.30/9.56 inference(tautology,[status(thm)],[])).
% 14.30/9.56 tff(8445,plain,
% 14.30/9.56 ((~(v111(constB39) <=> v26(constB39))) | (~v111(constB39))),
% 14.30/9.56 inference(unit_resolution,[status(thm)],[8444, 8443])).
% 14.30/9.56 tff(8446,plain,
% 14.30/9.56 (~v111(constB39)),
% 14.30/9.56 inference(unit_resolution,[status(thm)],[8445, 8441])).
% 14.30/9.56 tff(8447,plain,
% 14.30/9.56 ((~((~v126(constB39)) <=> v111(constB39))) | v126(constB39) | v111(constB39)),
% 14.30/9.56 inference(tautology,[status(thm)],[])).
% 14.30/9.56 tff(8448,plain,
% 14.30/9.56 ((~((~v126(constB39)) <=> v111(constB39))) | v126(constB39)),
% 14.30/9.56 inference(unit_resolution,[status(thm)],[8447, 8446])).
% 14.30/9.56 tff(8449,plain,
% 14.30/9.56 (v126(constB39)),
% 14.30/9.56 inference(unit_resolution,[status(thm)],[8448, 8439])).
% 14.30/9.56 tff(8450,plain,
% 14.30/9.56 ((~((~v113(constB39)) | (~v126(constB39)))) | (~v113(constB39)) | (~v126(constB39))),
% 14.30/9.56 inference(tautology,[status(thm)],[])).
% 14.30/9.56 tff(8451,plain,
% 14.30/9.56 ((~((~v113(constB39)) | (~v126(constB39)))) | (~v113(constB39))),
% 14.30/9.56 inference(unit_resolution,[status(thm)],[8450, 8449])).
% 14.30/9.56 tff(8452,plain,
% 14.30/9.56 (~((~v113(constB39)) | (~v126(constB39)))),
% 14.30/9.56 inference(unit_resolution,[status(thm)],[8451, 8437])).
% 14.30/9.56 tff(8453,plain,
% 14.30/9.56 ((~(v112(constB39) <=> (~((~v113(constB39)) | (~v126(constB39)))))) | v112(constB39) | ((~v113(constB39)) | (~v126(constB39)))),
% 14.30/9.56 inference(tautology,[status(thm)],[])).
% 14.30/9.56 tff(8454,plain,
% 14.30/9.56 (v112(constB39)),
% 14.30/9.56 inference(unit_resolution,[status(thm)],[8453, 8452, 3187])).
% 14.30/9.56 tff(8455,plain,
% 14.30/9.56 ((v111(constB39) | v112(constB39)) | (~v112(constB39))),
% 14.30/9.56 inference(tautology,[status(thm)],[])).
% 14.30/9.56 tff(8456,plain,
% 14.30/9.56 (v111(constB39) | v112(constB39)),
% 14.30/9.56 inference(unit_resolution,[status(thm)],[8455, 8454])).
% 14.30/9.56 tff(8457,plain,
% 14.30/9.56 ((~(v108(constB39) <=> (v111(constB39) | v112(constB39)))) | v108(constB39) | (~(v111(constB39) | v112(constB39)))),
% 14.30/9.56 inference(tautology,[status(thm)],[])).
% 14.30/9.56 tff(8458,plain,
% 14.30/9.56 (v108(constB39)),
% 14.30/9.56 inference(unit_resolution,[status(thm)],[8457, 8456, 3185])).
% 14.30/9.56 tff(8459,plain,
% 14.30/9.56 ((~(v110(constB40) <=> v108(constB39))) | v110(constB40) | (~v108(constB39))),
% 14.30/9.56 inference(tautology,[status(thm)],[])).
% 14.30/9.56 tff(8460,plain,
% 14.30/9.56 (v110(constB40)),
% 14.30/9.56 inference(unit_resolution,[status(thm)],[8459, 8458, 3183])).
% 14.30/9.56 tff(8461,plain,
% 14.30/9.56 ((~((~v101(constB40)) | (~v110(constB40)))) | (~v101(constB40)) | (~v110(constB40))),
% 14.30/9.56 inference(tautology,[status(thm)],[])).
% 14.30/9.56 tff(8462,plain,
% 14.30/9.56 (~((~v101(constB40)) | (~v110(constB40)))),
% 14.30/9.56 inference(unit_resolution,[status(thm)],[8461, 8460, 3179])).
% 14.30/9.56 tff(8463,plain,
% 14.30/9.56 ((~(v100(constB40) <=> (~((~v101(constB40)) | (~v110(constB40)))))) | v100(constB40) | ((~v101(constB40)) | (~v110(constB40)))),
% 14.30/9.56 inference(tautology,[status(thm)],[])).
% 14.30/9.56 tff(8464,plain,
% 14.30/9.56 (v100(constB40)),
% 14.30/9.56 inference(unit_resolution,[status(thm)],[8463, 8462, 3148])).
% 14.30/9.56 tff(8465,plain,
% 14.30/9.56 (((~![VarNext: $i] : ((~v100(VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v129(VarNext, B))))) | ((~v100(constB40)) | ![B: $i] : ((~less_3(B)) | (v90(constB40, B) <=> v129(constB40, B))))) <=> ((~![VarNext: $i] : ((~v100(VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v129(VarNext, B))))) | (~v100(constB40)) | ![B: $i] : ((~less_3(B)) | (v90(constB40, B) <=> v129(constB40, B))))),
% 14.30/9.56 inference(rewrite,[status(thm)],[])).
% 14.30/9.56 tff(8466,plain,
% 14.30/9.56 ((~![VarNext: $i] : ((~v100(VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v129(VarNext, B))))) | ((~v100(constB40)) | ![B: $i] : ((~less_3(B)) | (v90(constB40, B) <=> v129(constB40, B))))),
% 14.30/9.56 inference(quant_inst,[status(thm)],[])).
% 14.30/9.56 tff(8467,plain,
% 14.30/9.56 ((~![VarNext: $i] : ((~v100(VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v129(VarNext, B))))) | (~v100(constB40)) | ![B: $i] : ((~less_3(B)) | (v90(constB40, B) <=> v129(constB40, B)))),
% 14.30/9.56 inference(modus_ponens,[status(thm)],[8466, 8465])).
% 14.30/9.56 tff(8468,plain,
% 14.30/9.56 ((~v100(constB40)) | ![B: $i] : ((~less_3(B)) | (v90(constB40, B) <=> v129(constB40, B)))),
% 14.30/9.56 inference(unit_resolution,[status(thm)],[8467, 5134])).
% 14.30/9.56 tff(8469,plain,
% 14.30/9.56 (![B: $i] : ((~less_3(B)) | (v90(constB40, B) <=> v129(constB40, B)))),
% 14.30/9.56 inference(unit_resolution,[status(thm)],[8468, 8464])).
% 14.30/9.56 tff(8470,plain,
% 14.30/9.56 (((~![B: $i] : ((~less_3(B)) | (v90(constB40, B) <=> v129(constB40, B)))) | ((~less_3(bitIndex2)) | (v90(constB40, bitIndex2) <=> v129(constB40, bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v90(constB40, B) <=> v129(constB40, B)))) | (~less_3(bitIndex2)) | (v90(constB40, bitIndex2) <=> v129(constB40, bitIndex2)))),
% 14.30/9.56 inference(rewrite,[status(thm)],[])).
% 14.30/9.56 tff(8471,plain,
% 14.30/9.56 ((~![B: $i] : ((~less_3(B)) | (v90(constB40, B) <=> v129(constB40, B)))) | ((~less_3(bitIndex2)) | (v90(constB40, bitIndex2) <=> v129(constB40, bitIndex2)))),
% 14.30/9.56 inference(quant_inst,[status(thm)],[])).
% 14.30/9.56 tff(8472,plain,
% 14.30/9.56 ((~![B: $i] : ((~less_3(B)) | (v90(constB40, B) <=> v129(constB40, B)))) | (~less_3(bitIndex2)) | (v90(constB40, bitIndex2) <=> v129(constB40, bitIndex2))),
% 14.30/9.56 inference(modus_ponens,[status(thm)],[8471, 8470])).
% 14.30/9.56 tff(8473,plain,
% 14.30/9.56 (v90(constB40, bitIndex2) <=> v129(constB40, bitIndex2)),
% 14.30/9.56 inference(unit_resolution,[status(thm)],[8472, 413, 8469])).
% 14.30/9.56 tff(8474,plain,
% 14.30/9.56 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v129(VarNext, B) <=> v127(VarCurr, B))))) | ((~nextState(constB39, constB40)) | ![B: $i] : ((~less_3(B)) | (v129(constB40, B) <=> v127(constB39, B))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v129(VarNext, B) <=> v127(VarCurr, B))))) | (~nextState(constB39, constB40)) | ![B: $i] : ((~less_3(B)) | (v129(constB40, B) <=> v127(constB39, B))))),
% 14.30/9.56 inference(rewrite,[status(thm)],[])).
% 14.30/9.56 tff(8475,plain,
% 14.30/9.56 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v129(VarNext, B) <=> v127(VarCurr, B))))) | ((~nextState(constB39, constB40)) | ![B: $i] : ((~less_3(B)) | (v129(constB40, B) <=> v127(constB39, B))))),
% 14.30/9.56 inference(quant_inst,[status(thm)],[])).
% 14.30/9.56 tff(8476,plain,
% 14.30/9.56 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v129(VarNext, B) <=> v127(VarCurr, B))))) | (~nextState(constB39, constB40)) | ![B: $i] : ((~less_3(B)) | (v129(constB40, B) <=> v127(constB39, B)))),
% 14.30/9.56 inference(modus_ponens,[status(thm)],[8475, 8474])).
% 14.30/9.56 tff(8477,plain,
% 14.30/9.56 (![B: $i] : ((~less_3(B)) | (v129(constB40, B) <=> v127(constB39, B)))),
% 14.30/9.56 inference(unit_resolution,[status(thm)],[8476, 3144, 5156])).
% 14.30/9.56 tff(8478,plain,
% 14.30/9.56 (((~![B: $i] : ((~less_3(B)) | (v129(constB40, B) <=> v127(constB39, B)))) | ((~less_3(bitIndex2)) | (v129(constB40, bitIndex2) <=> v127(constB39, bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v129(constB40, B) <=> v127(constB39, B)))) | (~less_3(bitIndex2)) | (v129(constB40, bitIndex2) <=> v127(constB39, bitIndex2)))),
% 14.30/9.56 inference(rewrite,[status(thm)],[])).
% 14.30/9.56 tff(8479,plain,
% 14.30/9.56 ((~![B: $i] : ((~less_3(B)) | (v129(constB40, B) <=> v127(constB39, B)))) | ((~less_3(bitIndex2)) | (v129(constB40, bitIndex2) <=> v127(constB39, bitIndex2)))),
% 14.30/9.56 inference(quant_inst,[status(thm)],[])).
% 14.30/9.56 tff(8480,plain,
% 14.30/9.56 ((~![B: $i] : ((~less_3(B)) | (v129(constB40, B) <=> v127(constB39, B)))) | (~less_3(bitIndex2)) | (v129(constB40, bitIndex2) <=> v127(constB39, bitIndex2))),
% 14.30/9.56 inference(modus_ponens,[status(thm)],[8479, 8478])).
% 14.30/9.56 tff(8481,plain,
% 14.30/9.56 (v129(constB40, bitIndex2) <=> v127(constB39, bitIndex2)),
% 14.30/9.56 inference(unit_resolution,[status(thm)],[8480, 413, 8477])).
% 14.30/9.56 tff(8482,plain,
% 14.30/9.56 (((~![VarCurr: $i] : (v111(VarCurr) | ![B: $i] : ((~less_3(B)) | (v127(VarCurr, B) <=> v130(VarCurr, B))))) | (v111(constB39) | ![B: $i] : ((~less_3(B)) | (v127(constB39, B) <=> v130(constB39, B))))) <=> ((~![VarCurr: $i] : (v111(VarCurr) | ![B: $i] : ((~less_3(B)) | (v127(VarCurr, B) <=> v130(VarCurr, B))))) | v111(constB39) | ![B: $i] : ((~less_3(B)) | (v127(constB39, B) <=> v130(constB39, B))))),
% 14.30/9.56 inference(rewrite,[status(thm)],[])).
% 14.30/9.56 tff(8483,plain,
% 14.30/9.56 ((~![VarCurr: $i] : (v111(VarCurr) | ![B: $i] : ((~less_3(B)) | (v127(VarCurr, B) <=> v130(VarCurr, B))))) | (v111(constB39) | ![B: $i] : ((~less_3(B)) | (v127(constB39, B) <=> v130(constB39, B))))),
% 14.30/9.56 inference(quant_inst,[status(thm)],[])).
% 14.30/9.56 tff(8484,plain,
% 14.30/9.56 ((~![VarCurr: $i] : (v111(VarCurr) | ![B: $i] : ((~less_3(B)) | (v127(VarCurr, B) <=> v130(VarCurr, B))))) | v111(constB39) | ![B: $i] : ((~less_3(B)) | (v127(constB39, B) <=> v130(constB39, B)))),
% 14.30/9.56 inference(modus_ponens,[status(thm)],[8483, 8482])).
% 14.30/9.56 tff(8485,plain,
% 14.30/9.56 (![B: $i] : ((~less_3(B)) | (v127(constB39, B) <=> v130(constB39, B)))),
% 14.30/9.56 inference(unit_resolution,[status(thm)],[8484, 5177, 8446])).
% 14.30/9.56 tff(8486,plain,
% 14.30/9.56 (((~![B: $i] : ((~less_3(B)) | (v127(constB39, B) <=> v130(constB39, B)))) | ((~less_3(bitIndex2)) | (v127(constB39, bitIndex2) <=> v130(constB39, bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v127(constB39, B) <=> v130(constB39, B)))) | (~less_3(bitIndex2)) | (v127(constB39, bitIndex2) <=> v130(constB39, bitIndex2)))),
% 14.30/9.57 inference(rewrite,[status(thm)],[])).
% 14.30/9.57 tff(8487,plain,
% 14.30/9.57 ((~![B: $i] : ((~less_3(B)) | (v127(constB39, B) <=> v130(constB39, B)))) | ((~less_3(bitIndex2)) | (v127(constB39, bitIndex2) <=> v130(constB39, bitIndex2)))),
% 14.30/9.57 inference(quant_inst,[status(thm)],[])).
% 14.30/9.57 tff(8488,plain,
% 14.30/9.57 ((~![B: $i] : ((~less_3(B)) | (v127(constB39, B) <=> v130(constB39, B)))) | (~less_3(bitIndex2)) | (v127(constB39, bitIndex2) <=> v130(constB39, bitIndex2))),
% 14.30/9.57 inference(modus_ponens,[status(thm)],[8487, 8486])).
% 14.30/9.57 tff(8489,plain,
% 14.30/9.57 (v127(constB39, bitIndex2) <=> v130(constB39, bitIndex2)),
% 14.30/9.57 inference(unit_resolution,[status(thm)],[8488, 413, 8485])).
% 14.30/9.57 tff(8490,plain,
% 14.30/9.57 (((~![VarCurr: $i] : ((~v121(VarCurr)) | ![B: $i] : ((~less_3(B)) | (v130(VarCurr, B) <=> b011(B))))) | ((~v121(constB39)) | ![B: $i] : ((~less_3(B)) | (v130(constB39, B) <=> b011(B))))) <=> ((~![VarCurr: $i] : ((~v121(VarCurr)) | ![B: $i] : ((~less_3(B)) | (v130(VarCurr, B) <=> b011(B))))) | (~v121(constB39)) | ![B: $i] : ((~less_3(B)) | (v130(constB39, B) <=> b011(B))))),
% 14.30/9.57 inference(rewrite,[status(thm)],[])).
% 14.30/9.57 tff(8491,plain,
% 14.30/9.57 ((~![VarCurr: $i] : ((~v121(VarCurr)) | ![B: $i] : ((~less_3(B)) | (v130(VarCurr, B) <=> b011(B))))) | ((~v121(constB39)) | ![B: $i] : ((~less_3(B)) | (v130(constB39, B) <=> b011(B))))),
% 14.30/9.57 inference(quant_inst,[status(thm)],[])).
% 14.30/9.57 tff(8492,plain,
% 14.30/9.57 ((~![VarCurr: $i] : ((~v121(VarCurr)) | ![B: $i] : ((~less_3(B)) | (v130(VarCurr, B) <=> b011(B))))) | (~v121(constB39)) | ![B: $i] : ((~less_3(B)) | (v130(constB39, B) <=> b011(B)))),
% 14.30/9.57 inference(modus_ponens,[status(thm)],[8491, 8490])).
% 14.30/9.57 tff(8493,plain,
% 14.30/9.57 ((~v121(constB39)) | ![B: $i] : ((~less_3(B)) | (v130(constB39, B) <=> b011(B)))),
% 14.30/9.57 inference(unit_resolution,[status(thm)],[8492, 5977])).
% 14.30/9.57 tff(8494,plain,
% 14.30/9.57 (![B: $i] : ((~less_3(B)) | (v130(constB39, B) <=> b011(B)))),
% 14.30/9.57 inference(unit_resolution,[status(thm)],[8493, 8417])).
% 14.30/9.57 tff(8495,plain,
% 14.30/9.57 (((~![B: $i] : ((~less_3(B)) | (v130(constB39, B) <=> b011(B)))) | ((~less_3(bitIndex2)) | (v130(constB39, bitIndex2) <=> b011(bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v130(constB39, B) <=> b011(B)))) | (~less_3(bitIndex2)) | (v130(constB39, bitIndex2) <=> b011(bitIndex2)))),
% 14.30/9.57 inference(rewrite,[status(thm)],[])).
% 14.30/9.57 tff(8496,plain,
% 14.30/9.57 ((~![B: $i] : ((~less_3(B)) | (v130(constB39, B) <=> b011(B)))) | ((~less_3(bitIndex2)) | (v130(constB39, bitIndex2) <=> b011(bitIndex2)))),
% 14.30/9.57 inference(quant_inst,[status(thm)],[])).
% 14.30/9.57 tff(8497,plain,
% 14.30/9.57 ((~![B: $i] : ((~less_3(B)) | (v130(constB39, B) <=> b011(B)))) | (~less_3(bitIndex2)) | (v130(constB39, bitIndex2) <=> b011(bitIndex2))),
% 14.30/9.57 inference(modus_ponens,[status(thm)],[8496, 8495])).
% 14.30/9.57 tff(8498,plain,
% 14.30/9.57 (v130(constB39, bitIndex2) <=> b011(bitIndex2)),
% 14.30/9.57 inference(unit_resolution,[status(thm)],[8497, 413, 8494])).
% 14.30/9.57 tff(8499,plain,
% 14.30/9.57 ((~(v130(constB39, bitIndex2) <=> b011(bitIndex2))) | (~v130(constB39, bitIndex2)) | b011(bitIndex2)),
% 14.30/9.57 inference(tautology,[status(thm)],[])).
% 14.30/9.57 tff(8500,plain,
% 14.30/9.57 ((~(v130(constB39, bitIndex2) <=> b011(bitIndex2))) | (~v130(constB39, bitIndex2))),
% 14.30/9.57 inference(unit_resolution,[status(thm)],[8499, 5989])).
% 14.30/9.57 tff(8501,plain,
% 14.30/9.57 (~v130(constB39, bitIndex2)),
% 14.30/9.57 inference(unit_resolution,[status(thm)],[8500, 8498])).
% 14.30/9.57 tff(8502,plain,
% 14.30/9.57 ((~(v127(constB39, bitIndex2) <=> v130(constB39, bitIndex2))) | (~v127(constB39, bitIndex2)) | v130(constB39, bitIndex2)),
% 14.30/9.57 inference(tautology,[status(thm)],[])).
% 14.30/9.57 tff(8503,plain,
% 14.30/9.57 (~v127(constB39, bitIndex2)),
% 14.30/9.57 inference(unit_resolution,[status(thm)],[8502, 8501, 8489])).
% 14.30/9.57 tff(8504,plain,
% 14.30/9.57 ((~(v129(constB40, bitIndex2) <=> v127(constB39, bitIndex2))) | (~v129(constB40, bitIndex2)) | v127(constB39, bitIndex2)),
% 14.30/9.57 inference(tautology,[status(thm)],[])).
% 14.30/9.57 tff(8505,plain,
% 14.30/9.57 (~v129(constB40, bitIndex2)),
% 14.30/9.57 inference(unit_resolution,[status(thm)],[8504, 8503, 8481])).
% 14.30/9.57 tff(8506,plain,
% 14.30/9.57 ((~(v90(constB40, bitIndex2) <=> v129(constB40, bitIndex2))) | (~v90(constB40, bitIndex2)) | v129(constB40, bitIndex2)),
% 14.30/9.57 inference(tautology,[status(thm)],[])).
% 14.30/9.57 tff(8507,plain,
% 14.30/9.57 (~v90(constB40, bitIndex2)),
% 14.30/9.57 inference(unit_resolution,[status(thm)],[8506, 8505, 8473])).
% 14.30/9.57 tff(8508,plain,
% 14.30/9.57 ((~(v90(constB41, bitIndex2) <=> v90(constB40, bitIndex2))) | (~v90(constB41, bitIndex2)) | v90(constB40, bitIndex2)),
% 14.30/9.57 inference(tautology,[status(thm)],[])).
% 14.30/9.57 tff(8509,plain,
% 14.30/9.57 (~v90(constB41, bitIndex2)),
% 14.30/9.57 inference(unit_resolution,[status(thm)],[8508, 8507, 3141])).
% 14.30/9.57 tff(8510,plain,
% 14.30/9.57 (((~![B: $i] : ((~less_3(B)) | (v90(constB41, B) <=> v90(constB40, B)))) | ((~less_3(bitIndex0)) | (v90(constB41, bitIndex0) <=> v90(constB40, bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v90(constB41, B) <=> v90(constB40, B)))) | (~less_3(bitIndex0)) | (v90(constB41, bitIndex0) <=> v90(constB40, bitIndex0)))),
% 14.30/9.57 inference(rewrite,[status(thm)],[])).
% 14.30/9.57 tff(8511,plain,
% 14.30/9.57 ((~![B: $i] : ((~less_3(B)) | (v90(constB41, B) <=> v90(constB40, B)))) | ((~less_3(bitIndex0)) | (v90(constB41, bitIndex0) <=> v90(constB40, bitIndex0)))),
% 14.30/9.57 inference(quant_inst,[status(thm)],[])).
% 14.30/9.57 tff(8512,plain,
% 14.30/9.57 ((~![B: $i] : ((~less_3(B)) | (v90(constB41, B) <=> v90(constB40, B)))) | (~less_3(bitIndex0)) | (v90(constB41, bitIndex0) <=> v90(constB40, bitIndex0))),
% 14.30/9.57 inference(modus_ponens,[status(thm)],[8511, 8510])).
% 14.30/9.57 tff(8513,plain,
% 14.30/9.57 (v90(constB41, bitIndex0) <=> v90(constB40, bitIndex0)),
% 14.30/9.57 inference(unit_resolution,[status(thm)],[8512, 5004, 3137])).
% 14.30/9.57 tff(8514,plain,
% 14.30/9.57 (((~![B: $i] : ((~less_3(B)) | (v90(constB40, B) <=> v129(constB40, B)))) | ((~less_3(bitIndex0)) | (v90(constB40, bitIndex0) <=> v129(constB40, bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v90(constB40, B) <=> v129(constB40, B)))) | (~less_3(bitIndex0)) | (v90(constB40, bitIndex0) <=> v129(constB40, bitIndex0)))),
% 14.30/9.57 inference(rewrite,[status(thm)],[])).
% 14.30/9.57 tff(8515,plain,
% 14.30/9.57 ((~![B: $i] : ((~less_3(B)) | (v90(constB40, B) <=> v129(constB40, B)))) | ((~less_3(bitIndex0)) | (v90(constB40, bitIndex0) <=> v129(constB40, bitIndex0)))),
% 14.30/9.57 inference(quant_inst,[status(thm)],[])).
% 14.30/9.57 tff(8516,plain,
% 14.30/9.57 ((~![B: $i] : ((~less_3(B)) | (v90(constB40, B) <=> v129(constB40, B)))) | (~less_3(bitIndex0)) | (v90(constB40, bitIndex0) <=> v129(constB40, bitIndex0))),
% 14.30/9.57 inference(modus_ponens,[status(thm)],[8515, 8514])).
% 14.30/9.57 tff(8517,plain,
% 14.30/9.57 (v90(constB40, bitIndex0) <=> v129(constB40, bitIndex0)),
% 14.30/9.57 inference(unit_resolution,[status(thm)],[8516, 5004, 8469])).
% 14.30/9.57 tff(8518,plain,
% 14.30/9.57 (((~![B: $i] : ((~less_3(B)) | (v129(constB40, B) <=> v127(constB39, B)))) | ((~less_3(bitIndex0)) | (v129(constB40, bitIndex0) <=> v127(constB39, bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v129(constB40, B) <=> v127(constB39, B)))) | (~less_3(bitIndex0)) | (v129(constB40, bitIndex0) <=> v127(constB39, bitIndex0)))),
% 14.30/9.57 inference(rewrite,[status(thm)],[])).
% 14.30/9.57 tff(8519,plain,
% 14.30/9.57 ((~![B: $i] : ((~less_3(B)) | (v129(constB40, B) <=> v127(constB39, B)))) | ((~less_3(bitIndex0)) | (v129(constB40, bitIndex0) <=> v127(constB39, bitIndex0)))),
% 14.30/9.57 inference(quant_inst,[status(thm)],[])).
% 14.30/9.57 tff(8520,plain,
% 14.30/9.57 ((~![B: $i] : ((~less_3(B)) | (v129(constB40, B) <=> v127(constB39, B)))) | (~less_3(bitIndex0)) | (v129(constB40, bitIndex0) <=> v127(constB39, bitIndex0))),
% 14.30/9.57 inference(modus_ponens,[status(thm)],[8519, 8518])).
% 14.30/9.57 tff(8521,plain,
% 14.30/9.57 (v129(constB40, bitIndex0) <=> v127(constB39, bitIndex0)),
% 14.30/9.57 inference(unit_resolution,[status(thm)],[8520, 5004, 8477])).
% 14.30/9.57 tff(8522,plain,
% 14.30/9.57 (((~![B: $i] : ((~less_3(B)) | (v127(constB39, B) <=> v130(constB39, B)))) | ((~less_3(bitIndex0)) | (v127(constB39, bitIndex0) <=> v130(constB39, bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v127(constB39, B) <=> v130(constB39, B)))) | (~less_3(bitIndex0)) | (v127(constB39, bitIndex0) <=> v130(constB39, bitIndex0)))),
% 14.30/9.57 inference(rewrite,[status(thm)],[])).
% 14.30/9.57 tff(8523,plain,
% 14.30/9.57 ((~![B: $i] : ((~less_3(B)) | (v127(constB39, B) <=> v130(constB39, B)))) | ((~less_3(bitIndex0)) | (v127(constB39, bitIndex0) <=> v130(constB39, bitIndex0)))),
% 14.30/9.57 inference(quant_inst,[status(thm)],[])).
% 14.30/9.57 tff(8524,plain,
% 14.30/9.57 ((~![B: $i] : ((~less_3(B)) | (v127(constB39, B) <=> v130(constB39, B)))) | (~less_3(bitIndex0)) | (v127(constB39, bitIndex0) <=> v130(constB39, bitIndex0))),
% 14.30/9.57 inference(modus_ponens,[status(thm)],[8523, 8522])).
% 14.30/9.57 tff(8525,plain,
% 14.30/9.57 (v127(constB39, bitIndex0) <=> v130(constB39, bitIndex0)),
% 14.30/9.57 inference(unit_resolution,[status(thm)],[8524, 5004, 8485])).
% 14.30/9.57 tff(8526,plain,
% 14.30/9.57 (((~![B: $i] : ((~less_3(B)) | (v130(constB39, B) <=> b011(B)))) | ((~less_3(bitIndex0)) | (v130(constB39, bitIndex0) <=> b011(bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v130(constB39, B) <=> b011(B)))) | (~less_3(bitIndex0)) | (v130(constB39, bitIndex0) <=> b011(bitIndex0)))),
% 14.30/9.57 inference(rewrite,[status(thm)],[])).
% 14.30/9.57 tff(8527,plain,
% 14.30/9.57 ((~![B: $i] : ((~less_3(B)) | (v130(constB39, B) <=> b011(B)))) | ((~less_3(bitIndex0)) | (v130(constB39, bitIndex0) <=> b011(bitIndex0)))),
% 14.30/9.57 inference(quant_inst,[status(thm)],[])).
% 14.30/9.57 tff(8528,plain,
% 14.30/9.57 ((~![B: $i] : ((~less_3(B)) | (v130(constB39, B) <=> b011(B)))) | (~less_3(bitIndex0)) | (v130(constB39, bitIndex0) <=> b011(bitIndex0))),
% 14.30/9.57 inference(modus_ponens,[status(thm)],[8527, 8526])).
% 14.30/9.57 tff(8529,plain,
% 14.30/9.57 (v130(constB39, bitIndex0) <=> b011(bitIndex0)),
% 14.30/9.57 inference(unit_resolution,[status(thm)],[8528, 5004, 8494])).
% 14.30/9.57 tff(8530,plain,
% 14.30/9.57 ((~(v130(constB39, bitIndex0) <=> b011(bitIndex0))) | v130(constB39, bitIndex0) | (~b011(bitIndex0))),
% 14.30/9.57 inference(tautology,[status(thm)],[])).
% 14.30/9.57 tff(8531,plain,
% 14.30/9.57 ((~(v130(constB39, bitIndex0) <=> b011(bitIndex0))) | v130(constB39, bitIndex0)),
% 14.30/9.57 inference(unit_resolution,[status(thm)],[8530, 6023])).
% 14.30/9.57 tff(8532,plain,
% 14.30/9.57 (v130(constB39, bitIndex0)),
% 14.30/9.57 inference(unit_resolution,[status(thm)],[8531, 8529])).
% 14.30/9.57 tff(8533,plain,
% 14.30/9.57 ((~(v127(constB39, bitIndex0) <=> v130(constB39, bitIndex0))) | v127(constB39, bitIndex0) | (~v130(constB39, bitIndex0))),
% 14.30/9.57 inference(tautology,[status(thm)],[])).
% 14.30/9.57 tff(8534,plain,
% 14.30/9.57 (v127(constB39, bitIndex0)),
% 14.30/9.57 inference(unit_resolution,[status(thm)],[8533, 8532, 8525])).
% 14.30/9.57 tff(8535,plain,
% 14.30/9.57 ((~(v129(constB40, bitIndex0) <=> v127(constB39, bitIndex0))) | v129(constB40, bitIndex0) | (~v127(constB39, bitIndex0))),
% 14.30/9.57 inference(tautology,[status(thm)],[])).
% 14.30/9.57 tff(8536,plain,
% 14.30/9.57 (v129(constB40, bitIndex0)),
% 14.30/9.57 inference(unit_resolution,[status(thm)],[8535, 8534, 8521])).
% 14.30/9.57 tff(8537,plain,
% 14.30/9.57 ((~(v90(constB40, bitIndex0) <=> v129(constB40, bitIndex0))) | v90(constB40, bitIndex0) | (~v129(constB40, bitIndex0))),
% 14.30/9.57 inference(tautology,[status(thm)],[])).
% 14.30/9.57 tff(8538,plain,
% 14.30/9.57 (v90(constB40, bitIndex0)),
% 14.30/9.57 inference(unit_resolution,[status(thm)],[8537, 8536, 8517])).
% 14.30/9.57 tff(8539,plain,
% 14.30/9.57 ((~(v90(constB41, bitIndex0) <=> v90(constB40, bitIndex0))) | v90(constB41, bitIndex0) | (~v90(constB40, bitIndex0))),
% 14.30/9.57 inference(tautology,[status(thm)],[])).
% 14.30/9.57 tff(8540,plain,
% 14.30/9.57 (v90(constB41, bitIndex0)),
% 14.30/9.57 inference(unit_resolution,[status(thm)],[8539, 8538, 8513])).
% 14.30/9.57 tff(8541,plain,
% 14.30/9.57 (((~![B: $i] : ((~less_3(B)) | (v90(constB41, B) <=> v90(constB40, B)))) | ((~less_3(bitIndex1)) | (v90(constB41, bitIndex1) <=> v90(constB40, bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v90(constB41, B) <=> v90(constB40, B)))) | (~less_3(bitIndex1)) | (v90(constB41, bitIndex1) <=> v90(constB40, bitIndex1)))),
% 14.30/9.57 inference(rewrite,[status(thm)],[])).
% 14.30/9.57 tff(8542,plain,
% 14.30/9.57 ((~![B: $i] : ((~less_3(B)) | (v90(constB41, B) <=> v90(constB40, B)))) | ((~less_3(bitIndex1)) | (v90(constB41, bitIndex1) <=> v90(constB40, bitIndex1)))),
% 14.30/9.57 inference(quant_inst,[status(thm)],[])).
% 14.30/9.57 tff(8543,plain,
% 14.30/9.57 ((~![B: $i] : ((~less_3(B)) | (v90(constB41, B) <=> v90(constB40, B)))) | (~less_3(bitIndex1)) | (v90(constB41, bitIndex1) <=> v90(constB40, bitIndex1))),
% 14.30/9.57 inference(modus_ponens,[status(thm)],[8542, 8541])).
% 14.30/9.57 tff(8544,plain,
% 14.30/9.57 (v90(constB41, bitIndex1) <=> v90(constB40, bitIndex1)),
% 14.30/9.57 inference(unit_resolution,[status(thm)],[8543, 5017, 3137])).
% 14.30/9.57 tff(8545,plain,
% 14.30/9.57 (((~![B: $i] : ((~less_3(B)) | (v90(constB40, B) <=> v129(constB40, B)))) | ((~less_3(bitIndex1)) | (v90(constB40, bitIndex1) <=> v129(constB40, bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v90(constB40, B) <=> v129(constB40, B)))) | (~less_3(bitIndex1)) | (v90(constB40, bitIndex1) <=> v129(constB40, bitIndex1)))),
% 14.30/9.57 inference(rewrite,[status(thm)],[])).
% 14.30/9.57 tff(8546,plain,
% 14.30/9.57 ((~![B: $i] : ((~less_3(B)) | (v90(constB40, B) <=> v129(constB40, B)))) | ((~less_3(bitIndex1)) | (v90(constB40, bitIndex1) <=> v129(constB40, bitIndex1)))),
% 14.30/9.57 inference(quant_inst,[status(thm)],[])).
% 14.30/9.57 tff(8547,plain,
% 14.30/9.57 ((~![B: $i] : ((~less_3(B)) | (v90(constB40, B) <=> v129(constB40, B)))) | (~less_3(bitIndex1)) | (v90(constB40, bitIndex1) <=> v129(constB40, bitIndex1))),
% 14.30/9.57 inference(modus_ponens,[status(thm)],[8546, 8545])).
% 14.30/9.57 tff(8548,plain,
% 14.30/9.57 (v90(constB40, bitIndex1) <=> v129(constB40, bitIndex1)),
% 14.30/9.57 inference(unit_resolution,[status(thm)],[8547, 5017, 8469])).
% 14.30/9.57 tff(8549,plain,
% 14.30/9.57 (((~![B: $i] : ((~less_3(B)) | (v129(constB40, B) <=> v127(constB39, B)))) | ((~less_3(bitIndex1)) | (v129(constB40, bitIndex1) <=> v127(constB39, bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v129(constB40, B) <=> v127(constB39, B)))) | (~less_3(bitIndex1)) | (v129(constB40, bitIndex1) <=> v127(constB39, bitIndex1)))),
% 14.30/9.57 inference(rewrite,[status(thm)],[])).
% 14.30/9.57 tff(8550,plain,
% 14.30/9.57 ((~![B: $i] : ((~less_3(B)) | (v129(constB40, B) <=> v127(constB39, B)))) | ((~less_3(bitIndex1)) | (v129(constB40, bitIndex1) <=> v127(constB39, bitIndex1)))),
% 14.30/9.57 inference(quant_inst,[status(thm)],[])).
% 14.30/9.57 tff(8551,plain,
% 14.30/9.57 ((~![B: $i] : ((~less_3(B)) | (v129(constB40, B) <=> v127(constB39, B)))) | (~less_3(bitIndex1)) | (v129(constB40, bitIndex1) <=> v127(constB39, bitIndex1))),
% 14.30/9.57 inference(modus_ponens,[status(thm)],[8550, 8549])).
% 14.30/9.57 tff(8552,plain,
% 14.30/9.57 (v129(constB40, bitIndex1) <=> v127(constB39, bitIndex1)),
% 14.30/9.57 inference(unit_resolution,[status(thm)],[8551, 5017, 8477])).
% 14.30/9.57 tff(8553,plain,
% 14.30/9.57 (((~![B: $i] : ((~less_3(B)) | (v127(constB39, B) <=> v130(constB39, B)))) | ((~less_3(bitIndex1)) | (v127(constB39, bitIndex1) <=> v130(constB39, bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v127(constB39, B) <=> v130(constB39, B)))) | (~less_3(bitIndex1)) | (v127(constB39, bitIndex1) <=> v130(constB39, bitIndex1)))),
% 14.30/9.57 inference(rewrite,[status(thm)],[])).
% 14.30/9.57 tff(8554,plain,
% 14.30/9.57 ((~![B: $i] : ((~less_3(B)) | (v127(constB39, B) <=> v130(constB39, B)))) | ((~less_3(bitIndex1)) | (v127(constB39, bitIndex1) <=> v130(constB39, bitIndex1)))),
% 14.30/9.57 inference(quant_inst,[status(thm)],[])).
% 14.30/9.57 tff(8555,plain,
% 14.30/9.57 ((~![B: $i] : ((~less_3(B)) | (v127(constB39, B) <=> v130(constB39, B)))) | (~less_3(bitIndex1)) | (v127(constB39, bitIndex1) <=> v130(constB39, bitIndex1))),
% 14.30/9.57 inference(modus_ponens,[status(thm)],[8554, 8553])).
% 14.30/9.57 tff(8556,plain,
% 14.30/9.57 (v127(constB39, bitIndex1) <=> v130(constB39, bitIndex1)),
% 14.30/9.57 inference(unit_resolution,[status(thm)],[8555, 5017, 8485])).
% 14.30/9.57 tff(8557,plain,
% 14.30/9.57 (((~![B: $i] : ((~less_3(B)) | (v130(constB39, B) <=> b011(B)))) | ((~less_3(bitIndex1)) | (v130(constB39, bitIndex1) <=> b011(bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v130(constB39, B) <=> b011(B)))) | (~less_3(bitIndex1)) | (v130(constB39, bitIndex1) <=> b011(bitIndex1)))),
% 14.30/9.57 inference(rewrite,[status(thm)],[])).
% 14.30/9.57 tff(8558,plain,
% 14.30/9.57 ((~![B: $i] : ((~less_3(B)) | (v130(constB39, B) <=> b011(B)))) | ((~less_3(bitIndex1)) | (v130(constB39, bitIndex1) <=> b011(bitIndex1)))),
% 14.30/9.57 inference(quant_inst,[status(thm)],[])).
% 14.30/9.57 tff(8559,plain,
% 14.30/9.57 ((~![B: $i] : ((~less_3(B)) | (v130(constB39, B) <=> b011(B)))) | (~less_3(bitIndex1)) | (v130(constB39, bitIndex1) <=> b011(bitIndex1))),
% 14.30/9.57 inference(modus_ponens,[status(thm)],[8558, 8557])).
% 14.30/9.57 tff(8560,plain,
% 14.30/9.57 (v130(constB39, bitIndex1) <=> b011(bitIndex1)),
% 14.30/9.57 inference(unit_resolution,[status(thm)],[8559, 5017, 8494])).
% 14.30/9.57 tff(8561,plain,
% 14.30/9.57 ((~(v130(constB39, bitIndex1) <=> b011(bitIndex1))) | v130(constB39, bitIndex1) | (~b011(bitIndex1))),
% 14.30/9.57 inference(tautology,[status(thm)],[])).
% 14.30/9.57 tff(8562,plain,
% 14.30/9.57 ((~(v130(constB39, bitIndex1) <=> b011(bitIndex1))) | v130(constB39, bitIndex1)),
% 14.30/9.57 inference(unit_resolution,[status(thm)],[8561, 6057])).
% 14.30/9.57 tff(8563,plain,
% 14.30/9.57 (v130(constB39, bitIndex1)),
% 14.30/9.57 inference(unit_resolution,[status(thm)],[8562, 8560])).
% 14.30/9.57 tff(8564,plain,
% 14.30/9.57 ((~(v127(constB39, bitIndex1) <=> v130(constB39, bitIndex1))) | v127(constB39, bitIndex1) | (~v130(constB39, bitIndex1))),
% 14.30/9.57 inference(tautology,[status(thm)],[])).
% 14.30/9.57 tff(8565,plain,
% 14.30/9.57 (v127(constB39, bitIndex1)),
% 14.30/9.57 inference(unit_resolution,[status(thm)],[8564, 8563, 8556])).
% 14.30/9.57 tff(8566,plain,
% 14.30/9.57 ((~(v129(constB40, bitIndex1) <=> v127(constB39, bitIndex1))) | v129(constB40, bitIndex1) | (~v127(constB39, bitIndex1))),
% 14.30/9.57 inference(tautology,[status(thm)],[])).
% 14.30/9.57 tff(8567,plain,
% 14.30/9.57 (v129(constB40, bitIndex1)),
% 14.30/9.57 inference(unit_resolution,[status(thm)],[8566, 8565, 8552])).
% 14.30/9.57 tff(8568,plain,
% 14.30/9.57 ((~(v90(constB40, bitIndex1) <=> v129(constB40, bitIndex1))) | v90(constB40, bitIndex1) | (~v129(constB40, bitIndex1))),
% 14.30/9.57 inference(tautology,[status(thm)],[])).
% 14.30/9.57 tff(8569,plain,
% 14.30/9.57 (v90(constB40, bitIndex1)),
% 14.30/9.57 inference(unit_resolution,[status(thm)],[8568, 8567, 8548])).
% 14.30/9.57 tff(8570,plain,
% 14.30/9.57 ((~(v90(constB41, bitIndex1) <=> v90(constB40, bitIndex1))) | v90(constB41, bitIndex1) | (~v90(constB40, bitIndex1))),
% 14.30/9.57 inference(tautology,[status(thm)],[])).
% 14.30/9.57 tff(8571,plain,
% 14.30/9.57 (v90(constB41, bitIndex1)),
% 14.30/9.57 inference(unit_resolution,[status(thm)],[8570, 8569, 8544])).
% 14.30/9.57 tff(8572,plain,
% 14.30/9.57 ((~(v90(constB41, bitIndex2) | (~v90(constB41, bitIndex1)) | (~v90(constB41, bitIndex0)))) | v90(constB41, bitIndex2) | (~v90(constB41, bitIndex1)) | (~v90(constB41, bitIndex0))),
% 14.30/9.57 inference(tautology,[status(thm)],[])).
% 14.30/9.57 tff(8573,plain,
% 14.30/9.57 (~(v90(constB41, bitIndex2) | (~v90(constB41, bitIndex1)) | (~v90(constB41, bitIndex0)))),
% 14.30/9.57 inference(unit_resolution,[status(thm)],[8572, 8571, 8540, 8509])).
% 14.30/9.57 tff(8574,plain,
% 14.30/9.57 ((~(v122(constB41) <=> (~(v90(constB41, bitIndex2) | (~v90(constB41, bitIndex1)) | (~v90(constB41, bitIndex0)))))) | v122(constB41) | (v90(constB41, bitIndex2) | (~v90(constB41, bitIndex1)) | (~v90(constB41, bitIndex0)))),
% 14.30/9.57 inference(tautology,[status(thm)],[])).
% 14.30/9.57 tff(8575,plain,
% 14.30/9.57 (v122(constB41)),
% 14.30/9.57 inference(unit_resolution,[status(thm)],[8574, 8573, 3109])).
% 14.30/9.57 tff(8576,plain,
% 14.30/9.57 ((v117(constB41) | v122(constB41)) | (~v122(constB41))),
% 14.30/9.57 inference(tautology,[status(thm)],[])).
% 14.30/9.57 tff(8577,plain,
% 14.30/9.57 (v117(constB41) | v122(constB41)),
% 14.30/9.57 inference(unit_resolution,[status(thm)],[8576, 8575])).
% 14.30/9.57 tff(8578,plain,
% 14.30/9.57 ((~(v116(constB41) <=> (v117(constB41) | v122(constB41)))) | v116(constB41) | (~(v117(constB41) | v122(constB41)))),
% 14.30/9.57 inference(tautology,[status(thm)],[])).
% 14.30/9.57 tff(8579,plain,
% 14.30/9.57 (v116(constB41)),
% 14.30/9.57 inference(unit_resolution,[status(thm)],[8578, 8577, 3102])).
% 14.30/9.57 tff(8580,plain,
% 14.30/9.57 ((v116(constB41) | v123(constB41)) | (~v116(constB41))),
% 14.30/9.57 inference(tautology,[status(thm)],[])).
% 14.30/9.57 tff(8581,plain,
% 14.30/9.57 (v116(constB41) | v123(constB41)),
% 14.30/9.57 inference(unit_resolution,[status(thm)],[8580, 8579])).
% 14.30/9.57 tff(8582,plain,
% 14.30/9.57 ((~(v115(constB41) <=> (v116(constB41) | v123(constB41)))) | v115(constB41) | (~(v116(constB41) | v123(constB41)))),
% 14.30/9.57 inference(tautology,[status(thm)],[])).
% 14.30/9.57 tff(8583,plain,
% 14.30/9.57 (v115(constB41)),
% 14.30/9.57 inference(unit_resolution,[status(thm)],[8582, 8581, 3100])).
% 14.30/9.57 tff(8584,plain,
% 14.30/9.57 ((v115(constB41) | v124(constB41)) | (~v115(constB41))),
% 14.30/9.57 inference(tautology,[status(thm)],[])).
% 14.30/9.57 tff(8585,plain,
% 14.30/9.57 (v115(constB41) | v124(constB41)),
% 14.30/9.57 inference(unit_resolution,[status(thm)],[8584, 8583])).
% 14.30/9.57 tff(8586,plain,
% 14.30/9.57 ((~(v114(constB41) <=> (v115(constB41) | v124(constB41)))) | v114(constB41) | (~(v115(constB41) | v124(constB41)))),
% 14.30/9.57 inference(tautology,[status(thm)],[])).
% 14.30/9.57 tff(8587,plain,
% 14.30/9.57 (v114(constB41)),
% 14.30/9.57 inference(unit_resolution,[status(thm)],[8586, 8585, 3098])).
% 14.30/9.57 tff(8588,plain,
% 14.30/9.57 ((v114(constB41) | v125(constB41)) | (~v114(constB41))),
% 14.30/9.57 inference(tautology,[status(thm)],[])).
% 14.30/9.57 tff(8589,plain,
% 14.30/9.57 (v114(constB41) | v125(constB41)),
% 14.30/9.57 inference(unit_resolution,[status(thm)],[8588, 8587])).
% 14.30/9.57 tff(8590,plain,
% 14.30/9.57 ((~(v113(constB41) <=> (v114(constB41) | v125(constB41)))) | v113(constB41) | (~(v114(constB41) | v125(constB41)))),
% 14.30/9.57 inference(tautology,[status(thm)],[])).
% 14.30/9.57 tff(8591,plain,
% 14.30/9.57 (v113(constB41)),
% 14.30/9.57 inference(unit_resolution,[status(thm)],[8590, 8589, 3096])).
% 14.30/9.57 tff(8592,plain,
% 14.30/9.57 ((~![VarCurr: $i] : ((~v126(VarCurr)) <=> v111(VarCurr))) | ((~v126(constB41)) <=> v111(constB41))),
% 14.30/9.57 inference(quant_inst,[status(thm)],[])).
% 14.30/9.57 tff(8593,plain,
% 14.30/9.57 ((~v126(constB41)) <=> v111(constB41)),
% 14.30/9.57 inference(unit_resolution,[status(thm)],[8592, 5074])).
% 14.30/9.57 tff(8594,plain,
% 14.30/9.57 ((~![VarCurr: $i] : (v111(VarCurr) <=> v26(VarCurr))) | (v111(constB41) <=> v26(constB41))),
% 14.30/9.57 inference(quant_inst,[status(thm)],[])).
% 14.30/9.57 tff(8595,plain,
% 14.30/9.57 (v111(constB41) <=> v26(constB41)),
% 14.30/9.57 inference(unit_resolution,[status(thm)],[8594, 5086])).
% 14.30/9.57 tff(8596,plain,
% 14.30/9.57 ((~![VarCurr: $i] : (~v26(VarCurr))) | (~v26(constB41))),
% 14.30/9.57 inference(quant_inst,[status(thm)],[])).
% 14.30/9.57 tff(8597,plain,
% 14.30/9.57 (~v26(constB41)),
% 14.30/9.57 inference(unit_resolution,[status(thm)],[8596, 5098])).
% 14.30/9.57 tff(8598,plain,
% 14.30/9.57 ((~(v111(constB41) <=> v26(constB41))) | (~v111(constB41)) | v26(constB41)),
% 14.30/9.57 inference(tautology,[status(thm)],[])).
% 14.30/9.57 tff(8599,plain,
% 14.30/9.57 ((~(v111(constB41) <=> v26(constB41))) | (~v111(constB41))),
% 14.30/9.57 inference(unit_resolution,[status(thm)],[8598, 8597])).
% 14.30/9.57 tff(8600,plain,
% 14.30/9.57 (~v111(constB41)),
% 14.30/9.57 inference(unit_resolution,[status(thm)],[8599, 8595])).
% 14.30/9.57 tff(8601,plain,
% 14.30/9.57 ((~((~v126(constB41)) <=> v111(constB41))) | v126(constB41) | v111(constB41)),
% 14.30/9.57 inference(tautology,[status(thm)],[])).
% 14.30/9.57 tff(8602,plain,
% 14.30/9.57 ((~((~v126(constB41)) <=> v111(constB41))) | v126(constB41)),
% 14.30/9.57 inference(unit_resolution,[status(thm)],[8601, 8600])).
% 14.30/9.57 tff(8603,plain,
% 14.30/9.57 (v126(constB41)),
% 14.30/9.57 inference(unit_resolution,[status(thm)],[8602, 8593])).
% 14.30/9.57 tff(8604,plain,
% 14.30/9.57 ((~((~v113(constB41)) | (~v126(constB41)))) | (~v113(constB41)) | (~v126(constB41))),
% 14.30/9.57 inference(tautology,[status(thm)],[])).
% 14.30/9.57 tff(8605,plain,
% 14.30/9.57 ((~((~v113(constB41)) | (~v126(constB41)))) | (~v113(constB41))),
% 14.30/9.57 inference(unit_resolution,[status(thm)],[8604, 8603])).
% 14.30/9.57 tff(8606,plain,
% 14.30/9.57 (~((~v113(constB41)) | (~v126(constB41)))),
% 14.30/9.57 inference(unit_resolution,[status(thm)],[8605, 8591])).
% 14.30/9.57 tff(8607,plain,
% 14.30/9.57 ((~(v112(constB41) <=> (~((~v113(constB41)) | (~v126(constB41)))))) | v112(constB41) | ((~v113(constB41)) | (~v126(constB41)))),
% 14.30/9.57 inference(tautology,[status(thm)],[])).
% 14.30/9.57 tff(8608,plain,
% 14.30/9.57 (v112(constB41)),
% 14.30/9.57 inference(unit_resolution,[status(thm)],[8607, 8606, 3094])).
% 14.30/9.57 tff(8609,plain,
% 14.30/9.57 ((v111(constB41) | v112(constB41)) | (~v112(constB41))),
% 14.30/9.57 inference(tautology,[status(thm)],[])).
% 14.30/9.57 tff(8610,plain,
% 14.30/9.57 (v111(constB41) | v112(constB41)),
% 14.30/9.57 inference(unit_resolution,[status(thm)],[8609, 8608])).
% 14.30/9.57 tff(8611,plain,
% 14.30/9.57 ((~(v108(constB41) <=> (v111(constB41) | v112(constB41)))) | v108(constB41) | (~(v111(constB41) | v112(constB41)))),
% 14.30/9.57 inference(tautology,[status(thm)],[])).
% 14.30/9.57 tff(8612,plain,
% 14.30/9.57 (v108(constB41)),
% 14.30/9.57 inference(unit_resolution,[status(thm)],[8611, 8610, 3092])).
% 14.30/9.57 tff(8613,plain,
% 14.30/9.57 ((~(v110(constB42) <=> v108(constB41))) | v110(constB42) | (~v108(constB41))),
% 14.30/9.57 inference(tautology,[status(thm)],[])).
% 14.30/9.57 tff(8614,plain,
% 14.30/9.57 (v110(constB42)),
% 14.30/9.57 inference(unit_resolution,[status(thm)],[8613, 8612, 3090])).
% 14.30/9.57 tff(8615,plain,
% 14.30/9.57 ((~((~v101(constB42)) | (~v110(constB42)))) | (~v101(constB42)) | (~v110(constB42))),
% 14.30/9.57 inference(tautology,[status(thm)],[])).
% 14.30/9.57 tff(8616,plain,
% 14.30/9.57 (~((~v101(constB42)) | (~v110(constB42)))),
% 14.30/9.57 inference(unit_resolution,[status(thm)],[8615, 8614, 3086])).
% 14.30/9.57 tff(8617,plain,
% 14.30/9.57 ((~(v100(constB42) <=> (~((~v101(constB42)) | (~v110(constB42)))))) | v100(constB42) | ((~v101(constB42)) | (~v110(constB42)))),
% 14.30/9.57 inference(tautology,[status(thm)],[])).
% 14.30/9.57 tff(8618,plain,
% 14.30/9.57 (v100(constB42)),
% 14.30/9.57 inference(unit_resolution,[status(thm)],[8617, 8616, 3055])).
% 14.30/9.57 tff(8619,plain,
% 14.30/9.57 (((~![VarNext: $i] : ((~v100(VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v129(VarNext, B))))) | ((~v100(constB42)) | ![B: $i] : ((~less_3(B)) | (v90(constB42, B) <=> v129(constB42, B))))) <=> ((~![VarNext: $i] : ((~v100(VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v129(VarNext, B))))) | (~v100(constB42)) | ![B: $i] : ((~less_3(B)) | (v90(constB42, B) <=> v129(constB42, B))))),
% 14.30/9.57 inference(rewrite,[status(thm)],[])).
% 14.30/9.57 tff(8620,plain,
% 14.30/9.57 ((~![VarNext: $i] : ((~v100(VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v129(VarNext, B))))) | ((~v100(constB42)) | ![B: $i] : ((~less_3(B)) | (v90(constB42, B) <=> v129(constB42, B))))),
% 14.30/9.57 inference(quant_inst,[status(thm)],[])).
% 14.30/9.57 tff(8621,plain,
% 14.30/9.57 ((~![VarNext: $i] : ((~v100(VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v129(VarNext, B))))) | (~v100(constB42)) | ![B: $i] : ((~less_3(B)) | (v90(constB42, B) <=> v129(constB42, B)))),
% 14.30/9.57 inference(modus_ponens,[status(thm)],[8620, 8619])).
% 14.30/9.57 tff(8622,plain,
% 14.30/9.57 ((~v100(constB42)) | ![B: $i] : ((~less_3(B)) | (v90(constB42, B) <=> v129(constB42, B)))),
% 14.30/9.57 inference(unit_resolution,[status(thm)],[8621, 5134])).
% 14.30/9.57 tff(8623,plain,
% 14.30/9.57 (![B: $i] : ((~less_3(B)) | (v90(constB42, B) <=> v129(constB42, B)))),
% 14.30/9.57 inference(unit_resolution,[status(thm)],[8622, 8618])).
% 14.30/9.57 tff(8624,plain,
% 14.30/9.57 (((~![B: $i] : ((~less_3(B)) | (v90(constB42, B) <=> v129(constB42, B)))) | ((~less_3(bitIndex2)) | (v90(constB42, bitIndex2) <=> v129(constB42, bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v90(constB42, B) <=> v129(constB42, B)))) | (~less_3(bitIndex2)) | (v90(constB42, bitIndex2) <=> v129(constB42, bitIndex2)))),
% 14.30/9.58 inference(rewrite,[status(thm)],[])).
% 14.30/9.58 tff(8625,plain,
% 14.30/9.58 ((~![B: $i] : ((~less_3(B)) | (v90(constB42, B) <=> v129(constB42, B)))) | ((~less_3(bitIndex2)) | (v90(constB42, bitIndex2) <=> v129(constB42, bitIndex2)))),
% 14.30/9.58 inference(quant_inst,[status(thm)],[])).
% 14.30/9.58 tff(8626,plain,
% 14.30/9.58 ((~![B: $i] : ((~less_3(B)) | (v90(constB42, B) <=> v129(constB42, B)))) | (~less_3(bitIndex2)) | (v90(constB42, bitIndex2) <=> v129(constB42, bitIndex2))),
% 14.30/9.58 inference(modus_ponens,[status(thm)],[8625, 8624])).
% 14.30/9.58 tff(8627,plain,
% 14.30/9.58 (v90(constB42, bitIndex2) <=> v129(constB42, bitIndex2)),
% 14.30/9.58 inference(unit_resolution,[status(thm)],[8626, 413, 8623])).
% 14.30/9.58 tff(8628,plain,
% 14.30/9.58 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v129(VarNext, B) <=> v127(VarCurr, B))))) | ((~nextState(constB41, constB42)) | ![B: $i] : ((~less_3(B)) | (v129(constB42, B) <=> v127(constB41, B))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v129(VarNext, B) <=> v127(VarCurr, B))))) | (~nextState(constB41, constB42)) | ![B: $i] : ((~less_3(B)) | (v129(constB42, B) <=> v127(constB41, B))))),
% 14.30/9.58 inference(rewrite,[status(thm)],[])).
% 14.30/9.58 tff(8629,plain,
% 14.30/9.58 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v129(VarNext, B) <=> v127(VarCurr, B))))) | ((~nextState(constB41, constB42)) | ![B: $i] : ((~less_3(B)) | (v129(constB42, B) <=> v127(constB41, B))))),
% 14.30/9.58 inference(quant_inst,[status(thm)],[])).
% 14.30/9.58 tff(8630,plain,
% 14.30/9.58 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v129(VarNext, B) <=> v127(VarCurr, B))))) | (~nextState(constB41, constB42)) | ![B: $i] : ((~less_3(B)) | (v129(constB42, B) <=> v127(constB41, B)))),
% 14.30/9.58 inference(modus_ponens,[status(thm)],[8629, 8628])).
% 14.30/9.58 tff(8631,plain,
% 14.30/9.58 (![B: $i] : ((~less_3(B)) | (v129(constB42, B) <=> v127(constB41, B)))),
% 14.30/9.58 inference(unit_resolution,[status(thm)],[8630, 3051, 5156])).
% 14.30/9.58 tff(8632,plain,
% 14.30/9.58 (((~![B: $i] : ((~less_3(B)) | (v129(constB42, B) <=> v127(constB41, B)))) | ((~less_3(bitIndex2)) | (v129(constB42, bitIndex2) <=> v127(constB41, bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v129(constB42, B) <=> v127(constB41, B)))) | (~less_3(bitIndex2)) | (v129(constB42, bitIndex2) <=> v127(constB41, bitIndex2)))),
% 14.30/9.58 inference(rewrite,[status(thm)],[])).
% 14.30/9.58 tff(8633,plain,
% 14.30/9.58 ((~![B: $i] : ((~less_3(B)) | (v129(constB42, B) <=> v127(constB41, B)))) | ((~less_3(bitIndex2)) | (v129(constB42, bitIndex2) <=> v127(constB41, bitIndex2)))),
% 14.30/9.58 inference(quant_inst,[status(thm)],[])).
% 14.30/9.58 tff(8634,plain,
% 14.30/9.58 ((~![B: $i] : ((~less_3(B)) | (v129(constB42, B) <=> v127(constB41, B)))) | (~less_3(bitIndex2)) | (v129(constB42, bitIndex2) <=> v127(constB41, bitIndex2))),
% 14.30/9.58 inference(modus_ponens,[status(thm)],[8633, 8632])).
% 14.30/9.58 tff(8635,plain,
% 14.30/9.58 (v129(constB42, bitIndex2) <=> v127(constB41, bitIndex2)),
% 14.30/9.58 inference(unit_resolution,[status(thm)],[8634, 413, 8631])).
% 14.30/9.58 tff(8636,plain,
% 14.30/9.58 (((~![VarCurr: $i] : (v111(VarCurr) | ![B: $i] : ((~less_3(B)) | (v127(VarCurr, B) <=> v130(VarCurr, B))))) | (v111(constB41) | ![B: $i] : ((~less_3(B)) | (v127(constB41, B) <=> v130(constB41, B))))) <=> ((~![VarCurr: $i] : (v111(VarCurr) | ![B: $i] : ((~less_3(B)) | (v127(VarCurr, B) <=> v130(VarCurr, B))))) | v111(constB41) | ![B: $i] : ((~less_3(B)) | (v127(constB41, B) <=> v130(constB41, B))))),
% 14.30/9.58 inference(rewrite,[status(thm)],[])).
% 14.30/9.58 tff(8637,plain,
% 14.30/9.58 ((~![VarCurr: $i] : (v111(VarCurr) | ![B: $i] : ((~less_3(B)) | (v127(VarCurr, B) <=> v130(VarCurr, B))))) | (v111(constB41) | ![B: $i] : ((~less_3(B)) | (v127(constB41, B) <=> v130(constB41, B))))),
% 14.30/9.58 inference(quant_inst,[status(thm)],[])).
% 14.30/9.58 tff(8638,plain,
% 14.30/9.58 ((~![VarCurr: $i] : (v111(VarCurr) | ![B: $i] : ((~less_3(B)) | (v127(VarCurr, B) <=> v130(VarCurr, B))))) | v111(constB41) | ![B: $i] : ((~less_3(B)) | (v127(constB41, B) <=> v130(constB41, B)))),
% 14.30/9.58 inference(modus_ponens,[status(thm)],[8637, 8636])).
% 14.30/9.58 tff(8639,plain,
% 14.30/9.58 (![B: $i] : ((~less_3(B)) | (v127(constB41, B) <=> v130(constB41, B)))),
% 14.30/9.58 inference(unit_resolution,[status(thm)],[8638, 5177, 8600])).
% 14.30/9.58 tff(8640,plain,
% 14.30/9.58 (((~![B: $i] : ((~less_3(B)) | (v127(constB41, B) <=> v130(constB41, B)))) | ((~less_3(bitIndex2)) | (v127(constB41, bitIndex2) <=> v130(constB41, bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v127(constB41, B) <=> v130(constB41, B)))) | (~less_3(bitIndex2)) | (v127(constB41, bitIndex2) <=> v130(constB41, bitIndex2)))),
% 14.30/9.58 inference(rewrite,[status(thm)],[])).
% 14.30/9.58 tff(8641,plain,
% 14.30/9.58 ((~![B: $i] : ((~less_3(B)) | (v127(constB41, B) <=> v130(constB41, B)))) | ((~less_3(bitIndex2)) | (v127(constB41, bitIndex2) <=> v130(constB41, bitIndex2)))),
% 14.30/9.58 inference(quant_inst,[status(thm)],[])).
% 14.30/9.58 tff(8642,plain,
% 14.30/9.58 ((~![B: $i] : ((~less_3(B)) | (v127(constB41, B) <=> v130(constB41, B)))) | (~less_3(bitIndex2)) | (v127(constB41, bitIndex2) <=> v130(constB41, bitIndex2))),
% 14.30/9.58 inference(modus_ponens,[status(thm)],[8641, 8640])).
% 14.30/9.58 tff(8643,plain,
% 14.30/9.58 (v127(constB41, bitIndex2) <=> v130(constB41, bitIndex2)),
% 14.30/9.58 inference(unit_resolution,[status(thm)],[8642, 413, 8639])).
% 14.30/9.58 tff(8644,plain,
% 14.30/9.58 (((~![VarCurr: $i] : ((~v122(VarCurr)) | ![B: $i] : ((~less_3(B)) | (v130(VarCurr, B) <=> b100(B))))) | ((~v122(constB41)) | ![B: $i] : ((~less_3(B)) | (v130(constB41, B) <=> b100(B))))) <=> ((~![VarCurr: $i] : ((~v122(VarCurr)) | ![B: $i] : ((~less_3(B)) | (v130(VarCurr, B) <=> b100(B))))) | (~v122(constB41)) | ![B: $i] : ((~less_3(B)) | (v130(constB41, B) <=> b100(B))))),
% 14.30/9.58 inference(rewrite,[status(thm)],[])).
% 14.30/9.58 tff(8645,plain,
% 14.30/9.58 ((~![VarCurr: $i] : ((~v122(VarCurr)) | ![B: $i] : ((~less_3(B)) | (v130(VarCurr, B) <=> b100(B))))) | ((~v122(constB41)) | ![B: $i] : ((~less_3(B)) | (v130(constB41, B) <=> b100(B))))),
% 14.30/9.58 inference(quant_inst,[status(thm)],[])).
% 14.30/9.58 tff(8646,plain,
% 14.30/9.58 ((~![VarCurr: $i] : ((~v122(VarCurr)) | ![B: $i] : ((~less_3(B)) | (v130(VarCurr, B) <=> b100(B))))) | (~v122(constB41)) | ![B: $i] : ((~less_3(B)) | (v130(constB41, B) <=> b100(B)))),
% 14.30/9.58 inference(modus_ponens,[status(thm)],[8645, 8644])).
% 14.30/9.58 tff(8647,plain,
% 14.30/9.58 ((~v122(constB41)) | ![B: $i] : ((~less_3(B)) | (v130(constB41, B) <=> b100(B)))),
% 14.30/9.58 inference(unit_resolution,[status(thm)],[8646, 6153])).
% 14.30/9.58 tff(8648,plain,
% 14.30/9.58 (![B: $i] : ((~less_3(B)) | (v130(constB41, B) <=> b100(B)))),
% 14.30/9.58 inference(unit_resolution,[status(thm)],[8647, 8575])).
% 14.30/9.58 tff(8649,plain,
% 14.30/9.58 (((~![B: $i] : ((~less_3(B)) | (v130(constB41, B) <=> b100(B)))) | ((~less_3(bitIndex2)) | (v130(constB41, bitIndex2) <=> b100(bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v130(constB41, B) <=> b100(B)))) | (~less_3(bitIndex2)) | (v130(constB41, bitIndex2) <=> b100(bitIndex2)))),
% 14.30/9.58 inference(rewrite,[status(thm)],[])).
% 14.30/9.58 tff(8650,plain,
% 14.30/9.58 ((~![B: $i] : ((~less_3(B)) | (v130(constB41, B) <=> b100(B)))) | ((~less_3(bitIndex2)) | (v130(constB41, bitIndex2) <=> b100(bitIndex2)))),
% 14.30/9.58 inference(quant_inst,[status(thm)],[])).
% 14.30/9.58 tff(8651,plain,
% 14.30/9.58 ((~![B: $i] : ((~less_3(B)) | (v130(constB41, B) <=> b100(B)))) | (~less_3(bitIndex2)) | (v130(constB41, bitIndex2) <=> b100(bitIndex2))),
% 14.30/9.58 inference(modus_ponens,[status(thm)],[8650, 8649])).
% 14.30/9.58 tff(8652,plain,
% 14.30/9.58 (v130(constB41, bitIndex2) <=> b100(bitIndex2)),
% 14.30/9.58 inference(unit_resolution,[status(thm)],[8651, 413, 8648])).
% 14.30/9.58 tff(8653,plain,
% 14.30/9.58 ((~(v130(constB41, bitIndex2) <=> b100(bitIndex2))) | v130(constB41, bitIndex2) | (~b100(bitIndex2))),
% 14.30/9.58 inference(tautology,[status(thm)],[])).
% 14.30/9.58 tff(8654,plain,
% 14.30/9.58 ((~(v130(constB41, bitIndex2) <=> b100(bitIndex2))) | v130(constB41, bitIndex2)),
% 14.30/9.58 inference(unit_resolution,[status(thm)],[8653, 5209])).
% 14.30/9.58 tff(8655,plain,
% 14.30/9.58 (v130(constB41, bitIndex2)),
% 14.30/9.58 inference(unit_resolution,[status(thm)],[8654, 8652])).
% 14.30/9.58 tff(8656,plain,
% 14.30/9.58 ((~(v127(constB41, bitIndex2) <=> v130(constB41, bitIndex2))) | v127(constB41, bitIndex2) | (~v130(constB41, bitIndex2))),
% 14.30/9.58 inference(tautology,[status(thm)],[])).
% 14.30/9.58 tff(8657,plain,
% 14.30/9.58 (v127(constB41, bitIndex2)),
% 14.30/9.58 inference(unit_resolution,[status(thm)],[8656, 8655, 8643])).
% 14.30/9.58 tff(8658,plain,
% 14.30/9.58 ((~(v129(constB42, bitIndex2) <=> v127(constB41, bitIndex2))) | v129(constB42, bitIndex2) | (~v127(constB41, bitIndex2))),
% 14.30/9.58 inference(tautology,[status(thm)],[])).
% 14.30/9.58 tff(8659,plain,
% 14.30/9.58 (v129(constB42, bitIndex2)),
% 14.30/9.58 inference(unit_resolution,[status(thm)],[8658, 8657, 8635])).
% 14.30/9.58 tff(8660,plain,
% 14.30/9.58 ((~(v90(constB42, bitIndex2) <=> v129(constB42, bitIndex2))) | v90(constB42, bitIndex2) | (~v129(constB42, bitIndex2))),
% 14.30/9.58 inference(tautology,[status(thm)],[])).
% 14.30/9.58 tff(8661,plain,
% 14.30/9.58 (v90(constB42, bitIndex2)),
% 14.30/9.58 inference(unit_resolution,[status(thm)],[8660, 8659, 8627])).
% 14.30/9.58 tff(8662,plain,
% 14.30/9.58 ((~(v90(constB43, bitIndex2) <=> v90(constB42, bitIndex2))) | v90(constB43, bitIndex2) | (~v90(constB42, bitIndex2))),
% 14.30/9.58 inference(tautology,[status(thm)],[])).
% 14.30/9.58 tff(8663,plain,
% 14.30/9.58 (v90(constB43, bitIndex2)),
% 14.30/9.58 inference(unit_resolution,[status(thm)],[8662, 8661, 3048])).
% 14.30/9.58 tff(8664,plain,
% 14.30/9.58 (((~![B: $i] : ((~less_3(B)) | (v90(constB43, B) <=> v90(constB42, B)))) | ((~less_3(bitIndex0)) | (v90(constB43, bitIndex0) <=> v90(constB42, bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v90(constB43, B) <=> v90(constB42, B)))) | (~less_3(bitIndex0)) | (v90(constB43, bitIndex0) <=> v90(constB42, bitIndex0)))),
% 14.30/9.58 inference(rewrite,[status(thm)],[])).
% 14.30/9.58 tff(8665,plain,
% 14.30/9.58 ((~![B: $i] : ((~less_3(B)) | (v90(constB43, B) <=> v90(constB42, B)))) | ((~less_3(bitIndex0)) | (v90(constB43, bitIndex0) <=> v90(constB42, bitIndex0)))),
% 14.30/9.58 inference(quant_inst,[status(thm)],[])).
% 14.30/9.58 tff(8666,plain,
% 14.30/9.58 ((~![B: $i] : ((~less_3(B)) | (v90(constB43, B) <=> v90(constB42, B)))) | (~less_3(bitIndex0)) | (v90(constB43, bitIndex0) <=> v90(constB42, bitIndex0))),
% 14.30/9.58 inference(modus_ponens,[status(thm)],[8665, 8664])).
% 14.30/9.58 tff(8667,plain,
% 14.30/9.58 (v90(constB43, bitIndex0) <=> v90(constB42, bitIndex0)),
% 14.30/9.58 inference(unit_resolution,[status(thm)],[8666, 5004, 3044])).
% 14.30/9.58 tff(8668,plain,
% 14.30/9.58 (((~![B: $i] : ((~less_3(B)) | (v90(constB42, B) <=> v129(constB42, B)))) | ((~less_3(bitIndex0)) | (v90(constB42, bitIndex0) <=> v129(constB42, bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v90(constB42, B) <=> v129(constB42, B)))) | (~less_3(bitIndex0)) | (v90(constB42, bitIndex0) <=> v129(constB42, bitIndex0)))),
% 14.30/9.58 inference(rewrite,[status(thm)],[])).
% 14.30/9.58 tff(8669,plain,
% 14.30/9.58 ((~![B: $i] : ((~less_3(B)) | (v90(constB42, B) <=> v129(constB42, B)))) | ((~less_3(bitIndex0)) | (v90(constB42, bitIndex0) <=> v129(constB42, bitIndex0)))),
% 14.30/9.58 inference(quant_inst,[status(thm)],[])).
% 14.30/9.58 tff(8670,plain,
% 14.30/9.58 ((~![B: $i] : ((~less_3(B)) | (v90(constB42, B) <=> v129(constB42, B)))) | (~less_3(bitIndex0)) | (v90(constB42, bitIndex0) <=> v129(constB42, bitIndex0))),
% 14.30/9.58 inference(modus_ponens,[status(thm)],[8669, 8668])).
% 14.30/9.58 tff(8671,plain,
% 14.30/9.58 (v90(constB42, bitIndex0) <=> v129(constB42, bitIndex0)),
% 14.30/9.58 inference(unit_resolution,[status(thm)],[8670, 5004, 8623])).
% 14.30/9.58 tff(8672,plain,
% 14.30/9.58 (((~![B: $i] : ((~less_3(B)) | (v129(constB42, B) <=> v127(constB41, B)))) | ((~less_3(bitIndex0)) | (v129(constB42, bitIndex0) <=> v127(constB41, bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v129(constB42, B) <=> v127(constB41, B)))) | (~less_3(bitIndex0)) | (v129(constB42, bitIndex0) <=> v127(constB41, bitIndex0)))),
% 14.30/9.58 inference(rewrite,[status(thm)],[])).
% 14.30/9.58 tff(8673,plain,
% 14.30/9.58 ((~![B: $i] : ((~less_3(B)) | (v129(constB42, B) <=> v127(constB41, B)))) | ((~less_3(bitIndex0)) | (v129(constB42, bitIndex0) <=> v127(constB41, bitIndex0)))),
% 14.30/9.58 inference(quant_inst,[status(thm)],[])).
% 14.30/9.58 tff(8674,plain,
% 14.30/9.58 ((~![B: $i] : ((~less_3(B)) | (v129(constB42, B) <=> v127(constB41, B)))) | (~less_3(bitIndex0)) | (v129(constB42, bitIndex0) <=> v127(constB41, bitIndex0))),
% 14.30/9.58 inference(modus_ponens,[status(thm)],[8673, 8672])).
% 14.30/9.58 tff(8675,plain,
% 14.30/9.58 (v129(constB42, bitIndex0) <=> v127(constB41, bitIndex0)),
% 14.30/9.58 inference(unit_resolution,[status(thm)],[8674, 5004, 8631])).
% 14.30/9.58 tff(8676,plain,
% 14.30/9.58 (((~![B: $i] : ((~less_3(B)) | (v127(constB41, B) <=> v130(constB41, B)))) | ((~less_3(bitIndex0)) | (v127(constB41, bitIndex0) <=> v130(constB41, bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v127(constB41, B) <=> v130(constB41, B)))) | (~less_3(bitIndex0)) | (v127(constB41, bitIndex0) <=> v130(constB41, bitIndex0)))),
% 14.30/9.58 inference(rewrite,[status(thm)],[])).
% 14.30/9.58 tff(8677,plain,
% 14.30/9.58 ((~![B: $i] : ((~less_3(B)) | (v127(constB41, B) <=> v130(constB41, B)))) | ((~less_3(bitIndex0)) | (v127(constB41, bitIndex0) <=> v130(constB41, bitIndex0)))),
% 14.30/9.58 inference(quant_inst,[status(thm)],[])).
% 14.30/9.58 tff(8678,plain,
% 14.30/9.58 ((~![B: $i] : ((~less_3(B)) | (v127(constB41, B) <=> v130(constB41, B)))) | (~less_3(bitIndex0)) | (v127(constB41, bitIndex0) <=> v130(constB41, bitIndex0))),
% 14.30/9.58 inference(modus_ponens,[status(thm)],[8677, 8676])).
% 14.30/9.58 tff(8679,plain,
% 14.30/9.58 (v127(constB41, bitIndex0) <=> v130(constB41, bitIndex0)),
% 14.30/9.58 inference(unit_resolution,[status(thm)],[8678, 5004, 8639])).
% 14.30/9.58 tff(8680,plain,
% 14.30/9.58 (((~![B: $i] : ((~less_3(B)) | (v130(constB41, B) <=> b100(B)))) | ((~less_3(bitIndex0)) | (v130(constB41, bitIndex0) <=> b100(bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v130(constB41, B) <=> b100(B)))) | (~less_3(bitIndex0)) | (v130(constB41, bitIndex0) <=> b100(bitIndex0)))),
% 14.30/9.58 inference(rewrite,[status(thm)],[])).
% 14.30/9.58 tff(8681,plain,
% 14.30/9.58 ((~![B: $i] : ((~less_3(B)) | (v130(constB41, B) <=> b100(B)))) | ((~less_3(bitIndex0)) | (v130(constB41, bitIndex0) <=> b100(bitIndex0)))),
% 14.30/9.58 inference(quant_inst,[status(thm)],[])).
% 14.30/9.58 tff(8682,plain,
% 14.30/9.58 ((~![B: $i] : ((~less_3(B)) | (v130(constB41, B) <=> b100(B)))) | (~less_3(bitIndex0)) | (v130(constB41, bitIndex0) <=> b100(bitIndex0))),
% 14.30/9.58 inference(modus_ponens,[status(thm)],[8681, 8680])).
% 14.30/9.58 tff(8683,plain,
% 14.30/9.58 (v130(constB41, bitIndex0) <=> b100(bitIndex0)),
% 14.30/9.58 inference(unit_resolution,[status(thm)],[8682, 5004, 8648])).
% 14.30/9.58 tff(8684,plain,
% 14.30/9.58 ((~(v130(constB41, bitIndex0) <=> b100(bitIndex0))) | (~v130(constB41, bitIndex0)) | b100(bitIndex0)),
% 14.30/9.58 inference(tautology,[status(thm)],[])).
% 14.30/9.58 tff(8685,plain,
% 14.30/9.58 ((~(v130(constB41, bitIndex0) <=> b100(bitIndex0))) | (~v130(constB41, bitIndex0))),
% 14.30/9.58 inference(unit_resolution,[status(thm)],[8684, 5243])).
% 14.30/9.58 tff(8686,plain,
% 14.30/9.58 (~v130(constB41, bitIndex0)),
% 14.30/9.58 inference(unit_resolution,[status(thm)],[8685, 8683])).
% 14.30/9.58 tff(8687,plain,
% 14.30/9.58 ((~(v127(constB41, bitIndex0) <=> v130(constB41, bitIndex0))) | (~v127(constB41, bitIndex0)) | v130(constB41, bitIndex0)),
% 14.30/9.58 inference(tautology,[status(thm)],[])).
% 14.30/9.58 tff(8688,plain,
% 14.30/9.58 (~v127(constB41, bitIndex0)),
% 14.30/9.58 inference(unit_resolution,[status(thm)],[8687, 8686, 8679])).
% 14.30/9.58 tff(8689,plain,
% 14.30/9.58 ((~(v129(constB42, bitIndex0) <=> v127(constB41, bitIndex0))) | (~v129(constB42, bitIndex0)) | v127(constB41, bitIndex0)),
% 14.30/9.58 inference(tautology,[status(thm)],[])).
% 14.30/9.58 tff(8690,plain,
% 14.30/9.58 (~v129(constB42, bitIndex0)),
% 14.30/9.58 inference(unit_resolution,[status(thm)],[8689, 8688, 8675])).
% 14.30/9.58 tff(8691,plain,
% 14.30/9.58 ((~(v90(constB42, bitIndex0) <=> v129(constB42, bitIndex0))) | (~v90(constB42, bitIndex0)) | v129(constB42, bitIndex0)),
% 14.30/9.58 inference(tautology,[status(thm)],[])).
% 14.30/9.58 tff(8692,plain,
% 14.30/9.58 (~v90(constB42, bitIndex0)),
% 14.30/9.58 inference(unit_resolution,[status(thm)],[8691, 8690, 8671])).
% 14.30/9.58 tff(8693,plain,
% 14.30/9.58 ((~(v90(constB43, bitIndex0) <=> v90(constB42, bitIndex0))) | (~v90(constB43, bitIndex0)) | v90(constB42, bitIndex0)),
% 14.30/9.58 inference(tautology,[status(thm)],[])).
% 14.30/9.58 tff(8694,plain,
% 14.30/9.58 (~v90(constB43, bitIndex0)),
% 14.30/9.58 inference(unit_resolution,[status(thm)],[8693, 8692, 8667])).
% 14.30/9.58 tff(8695,plain,
% 14.30/9.58 (((~![B: $i] : ((~less_3(B)) | (v90(constB43, B) <=> v90(constB42, B)))) | ((~less_3(bitIndex1)) | (v90(constB43, bitIndex1) <=> v90(constB42, bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v90(constB43, B) <=> v90(constB42, B)))) | (~less_3(bitIndex1)) | (v90(constB43, bitIndex1) <=> v90(constB42, bitIndex1)))),
% 14.30/9.58 inference(rewrite,[status(thm)],[])).
% 14.30/9.58 tff(8696,plain,
% 14.30/9.58 ((~![B: $i] : ((~less_3(B)) | (v90(constB43, B) <=> v90(constB42, B)))) | ((~less_3(bitIndex1)) | (v90(constB43, bitIndex1) <=> v90(constB42, bitIndex1)))),
% 14.30/9.58 inference(quant_inst,[status(thm)],[])).
% 14.30/9.58 tff(8697,plain,
% 14.30/9.58 ((~![B: $i] : ((~less_3(B)) | (v90(constB43, B) <=> v90(constB42, B)))) | (~less_3(bitIndex1)) | (v90(constB43, bitIndex1) <=> v90(constB42, bitIndex1))),
% 14.30/9.58 inference(modus_ponens,[status(thm)],[8696, 8695])).
% 14.30/9.58 tff(8698,plain,
% 14.30/9.58 (v90(constB43, bitIndex1) <=> v90(constB42, bitIndex1)),
% 14.30/9.58 inference(unit_resolution,[status(thm)],[8697, 5017, 3044])).
% 14.30/9.58 tff(8699,plain,
% 14.30/9.58 (((~![B: $i] : ((~less_3(B)) | (v90(constB42, B) <=> v129(constB42, B)))) | ((~less_3(bitIndex1)) | (v90(constB42, bitIndex1) <=> v129(constB42, bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v90(constB42, B) <=> v129(constB42, B)))) | (~less_3(bitIndex1)) | (v90(constB42, bitIndex1) <=> v129(constB42, bitIndex1)))),
% 14.30/9.58 inference(rewrite,[status(thm)],[])).
% 14.30/9.58 tff(8700,plain,
% 14.30/9.58 ((~![B: $i] : ((~less_3(B)) | (v90(constB42, B) <=> v129(constB42, B)))) | ((~less_3(bitIndex1)) | (v90(constB42, bitIndex1) <=> v129(constB42, bitIndex1)))),
% 14.30/9.58 inference(quant_inst,[status(thm)],[])).
% 14.30/9.58 tff(8701,plain,
% 14.30/9.58 ((~![B: $i] : ((~less_3(B)) | (v90(constB42, B) <=> v129(constB42, B)))) | (~less_3(bitIndex1)) | (v90(constB42, bitIndex1) <=> v129(constB42, bitIndex1))),
% 14.30/9.58 inference(modus_ponens,[status(thm)],[8700, 8699])).
% 14.30/9.58 tff(8702,plain,
% 14.30/9.58 (v90(constB42, bitIndex1) <=> v129(constB42, bitIndex1)),
% 14.30/9.58 inference(unit_resolution,[status(thm)],[8701, 5017, 8623])).
% 14.30/9.58 tff(8703,plain,
% 14.30/9.58 (((~![B: $i] : ((~less_3(B)) | (v129(constB42, B) <=> v127(constB41, B)))) | ((~less_3(bitIndex1)) | (v129(constB42, bitIndex1) <=> v127(constB41, bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v129(constB42, B) <=> v127(constB41, B)))) | (~less_3(bitIndex1)) | (v129(constB42, bitIndex1) <=> v127(constB41, bitIndex1)))),
% 14.30/9.58 inference(rewrite,[status(thm)],[])).
% 14.30/9.58 tff(8704,plain,
% 14.30/9.58 ((~![B: $i] : ((~less_3(B)) | (v129(constB42, B) <=> v127(constB41, B)))) | ((~less_3(bitIndex1)) | (v129(constB42, bitIndex1) <=> v127(constB41, bitIndex1)))),
% 14.30/9.58 inference(quant_inst,[status(thm)],[])).
% 14.30/9.58 tff(8705,plain,
% 14.30/9.58 ((~![B: $i] : ((~less_3(B)) | (v129(constB42, B) <=> v127(constB41, B)))) | (~less_3(bitIndex1)) | (v129(constB42, bitIndex1) <=> v127(constB41, bitIndex1))),
% 14.30/9.58 inference(modus_ponens,[status(thm)],[8704, 8703])).
% 14.30/9.58 tff(8706,plain,
% 14.30/9.58 (v129(constB42, bitIndex1) <=> v127(constB41, bitIndex1)),
% 14.30/9.58 inference(unit_resolution,[status(thm)],[8705, 5017, 8631])).
% 14.30/9.58 tff(8707,plain,
% 14.30/9.58 (((~![B: $i] : ((~less_3(B)) | (v127(constB41, B) <=> v130(constB41, B)))) | ((~less_3(bitIndex1)) | (v127(constB41, bitIndex1) <=> v130(constB41, bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v127(constB41, B) <=> v130(constB41, B)))) | (~less_3(bitIndex1)) | (v127(constB41, bitIndex1) <=> v130(constB41, bitIndex1)))),
% 14.30/9.58 inference(rewrite,[status(thm)],[])).
% 14.30/9.58 tff(8708,plain,
% 14.30/9.58 ((~![B: $i] : ((~less_3(B)) | (v127(constB41, B) <=> v130(constB41, B)))) | ((~less_3(bitIndex1)) | (v127(constB41, bitIndex1) <=> v130(constB41, bitIndex1)))),
% 14.30/9.58 inference(quant_inst,[status(thm)],[])).
% 14.30/9.58 tff(8709,plain,
% 14.30/9.58 ((~![B: $i] : ((~less_3(B)) | (v127(constB41, B) <=> v130(constB41, B)))) | (~less_3(bitIndex1)) | (v127(constB41, bitIndex1) <=> v130(constB41, bitIndex1))),
% 14.30/9.58 inference(modus_ponens,[status(thm)],[8708, 8707])).
% 14.30/9.58 tff(8710,plain,
% 14.30/9.58 (v127(constB41, bitIndex1) <=> v130(constB41, bitIndex1)),
% 14.30/9.58 inference(unit_resolution,[status(thm)],[8709, 5017, 8639])).
% 14.30/9.58 tff(8711,plain,
% 14.30/9.58 (((~![B: $i] : ((~less_3(B)) | (v130(constB41, B) <=> b100(B)))) | ((~less_3(bitIndex1)) | (v130(constB41, bitIndex1) <=> b100(bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v130(constB41, B) <=> b100(B)))) | (~less_3(bitIndex1)) | (v130(constB41, bitIndex1) <=> b100(bitIndex1)))),
% 14.30/9.58 inference(rewrite,[status(thm)],[])).
% 14.30/9.58 tff(8712,plain,
% 14.30/9.58 ((~![B: $i] : ((~less_3(B)) | (v130(constB41, B) <=> b100(B)))) | ((~less_3(bitIndex1)) | (v130(constB41, bitIndex1) <=> b100(bitIndex1)))),
% 14.30/9.58 inference(quant_inst,[status(thm)],[])).
% 14.30/9.58 tff(8713,plain,
% 14.30/9.58 ((~![B: $i] : ((~less_3(B)) | (v130(constB41, B) <=> b100(B)))) | (~less_3(bitIndex1)) | (v130(constB41, bitIndex1) <=> b100(bitIndex1))),
% 14.30/9.58 inference(modus_ponens,[status(thm)],[8712, 8711])).
% 14.30/9.58 tff(8714,plain,
% 14.30/9.58 (v130(constB41, bitIndex1) <=> b100(bitIndex1)),
% 14.30/9.58 inference(unit_resolution,[status(thm)],[8713, 5017, 8648])).
% 14.30/9.58 tff(8715,plain,
% 14.30/9.58 ((~(v130(constB41, bitIndex1) <=> b100(bitIndex1))) | (~v130(constB41, bitIndex1)) | b100(bitIndex1)),
% 14.30/9.58 inference(tautology,[status(thm)],[])).
% 14.30/9.58 tff(8716,plain,
% 14.30/9.58 ((~(v130(constB41, bitIndex1) <=> b100(bitIndex1))) | (~v130(constB41, bitIndex1))),
% 14.30/9.58 inference(unit_resolution,[status(thm)],[8715, 5277])).
% 14.30/9.58 tff(8717,plain,
% 14.30/9.58 (~v130(constB41, bitIndex1)),
% 14.30/9.58 inference(unit_resolution,[status(thm)],[8716, 8714])).
% 14.30/9.58 tff(8718,plain,
% 14.30/9.58 ((~(v127(constB41, bitIndex1) <=> v130(constB41, bitIndex1))) | (~v127(constB41, bitIndex1)) | v130(constB41, bitIndex1)),
% 14.30/9.58 inference(tautology,[status(thm)],[])).
% 14.30/9.58 tff(8719,plain,
% 14.30/9.58 (~v127(constB41, bitIndex1)),
% 14.30/9.58 inference(unit_resolution,[status(thm)],[8718, 8717, 8710])).
% 14.30/9.58 tff(8720,plain,
% 14.30/9.58 ((~(v129(constB42, bitIndex1) <=> v127(constB41, bitIndex1))) | (~v129(constB42, bitIndex1)) | v127(constB41, bitIndex1)),
% 14.30/9.58 inference(tautology,[status(thm)],[])).
% 14.30/9.58 tff(8721,plain,
% 14.30/9.58 (~v129(constB42, bitIndex1)),
% 14.30/9.58 inference(unit_resolution,[status(thm)],[8720, 8719, 8706])).
% 14.30/9.58 tff(8722,plain,
% 14.30/9.58 ((~(v90(constB42, bitIndex1) <=> v129(constB42, bitIndex1))) | (~v90(constB42, bitIndex1)) | v129(constB42, bitIndex1)),
% 14.30/9.58 inference(tautology,[status(thm)],[])).
% 14.30/9.58 tff(8723,plain,
% 14.30/9.58 (~v90(constB42, bitIndex1)),
% 14.30/9.58 inference(unit_resolution,[status(thm)],[8722, 8721, 8702])).
% 14.30/9.58 tff(8724,plain,
% 14.30/9.58 ((~(v90(constB43, bitIndex1) <=> v90(constB42, bitIndex1))) | (~v90(constB43, bitIndex1)) | v90(constB42, bitIndex1)),
% 14.30/9.58 inference(tautology,[status(thm)],[])).
% 14.30/9.58 tff(8725,plain,
% 14.30/9.58 (~v90(constB43, bitIndex1)),
% 14.30/9.58 inference(unit_resolution,[status(thm)],[8724, 8723, 8698])).
% 14.30/9.58 tff(8726,plain,
% 14.30/9.58 ((~((~v90(constB43, bitIndex2)) | v90(constB43, bitIndex1) | v90(constB43, bitIndex0))) | (~v90(constB43, bitIndex2)) | v90(constB43, bitIndex1) | v90(constB43, bitIndex0)),
% 14.30/9.58 inference(tautology,[status(thm)],[])).
% 14.30/9.58 tff(8727,plain,
% 14.30/9.58 (~((~v90(constB43, bitIndex2)) | v90(constB43, bitIndex1) | v90(constB43, bitIndex0))),
% 14.30/9.58 inference(unit_resolution,[status(thm)],[8726, 8725, 8694, 8663])).
% 14.30/9.58 tff(8728,plain,
% 14.30/9.58 ((~(v123(constB43) <=> (~((~v90(constB43, bitIndex2)) | v90(constB43, bitIndex1) | v90(constB43, bitIndex0))))) | v123(constB43) | ((~v90(constB43, bitIndex2)) | v90(constB43, bitIndex1) | v90(constB43, bitIndex0))),
% 14.30/9.58 inference(tautology,[status(thm)],[])).
% 14.30/9.58 tff(8729,plain,
% 14.30/9.58 (v123(constB43)),
% 14.30/9.58 inference(unit_resolution,[status(thm)],[8728, 8727, 3016])).
% 14.30/9.58 tff(8730,plain,
% 14.30/9.58 ((v116(constB43) | v123(constB43)) | (~v123(constB43))),
% 14.30/9.58 inference(tautology,[status(thm)],[])).
% 14.30/9.58 tff(8731,plain,
% 14.30/9.58 (v116(constB43) | v123(constB43)),
% 14.30/9.58 inference(unit_resolution,[status(thm)],[8730, 8729])).
% 14.30/9.58 tff(8732,plain,
% 14.30/9.58 ((~(v115(constB43) <=> (v116(constB43) | v123(constB43)))) | v115(constB43) | (~(v116(constB43) | v123(constB43)))),
% 14.30/9.58 inference(tautology,[status(thm)],[])).
% 14.30/9.58 tff(8733,plain,
% 14.30/9.58 (v115(constB43)),
% 14.30/9.58 inference(unit_resolution,[status(thm)],[8732, 8731, 3009])).
% 14.30/9.58 tff(8734,plain,
% 14.30/9.58 ((v115(constB43) | v124(constB43)) | (~v115(constB43))),
% 14.30/9.58 inference(tautology,[status(thm)],[])).
% 14.30/9.58 tff(8735,plain,
% 14.30/9.58 (v115(constB43) | v124(constB43)),
% 14.30/9.58 inference(unit_resolution,[status(thm)],[8734, 8733])).
% 14.30/9.58 tff(8736,plain,
% 14.30/9.58 ((~(v114(constB43) <=> (v115(constB43) | v124(constB43)))) | v114(constB43) | (~(v115(constB43) | v124(constB43)))),
% 14.30/9.58 inference(tautology,[status(thm)],[])).
% 14.30/9.58 tff(8737,plain,
% 14.30/9.58 (v114(constB43)),
% 14.30/9.58 inference(unit_resolution,[status(thm)],[8736, 8735, 3007])).
% 14.30/9.58 tff(8738,plain,
% 14.30/9.58 ((v114(constB43) | v125(constB43)) | (~v114(constB43))),
% 14.30/9.58 inference(tautology,[status(thm)],[])).
% 14.30/9.58 tff(8739,plain,
% 14.30/9.58 (v114(constB43) | v125(constB43)),
% 14.30/9.58 inference(unit_resolution,[status(thm)],[8738, 8737])).
% 14.30/9.58 tff(8740,plain,
% 14.30/9.58 ((~(v113(constB43) <=> (v114(constB43) | v125(constB43)))) | v113(constB43) | (~(v114(constB43) | v125(constB43)))),
% 14.30/9.58 inference(tautology,[status(thm)],[])).
% 14.30/9.58 tff(8741,plain,
% 14.30/9.58 (v113(constB43)),
% 14.30/9.58 inference(unit_resolution,[status(thm)],[8740, 8739, 3005])).
% 14.30/9.58 tff(8742,plain,
% 14.30/9.58 ((~![VarCurr: $i] : ((~v126(VarCurr)) <=> v111(VarCurr))) | ((~v126(constB43)) <=> v111(constB43))),
% 14.30/9.58 inference(quant_inst,[status(thm)],[])).
% 14.30/9.58 tff(8743,plain,
% 14.30/9.58 ((~v126(constB43)) <=> v111(constB43)),
% 14.30/9.58 inference(unit_resolution,[status(thm)],[8742, 5074])).
% 14.30/9.58 tff(8744,plain,
% 14.30/9.58 ((~![VarCurr: $i] : (v111(VarCurr) <=> v26(VarCurr))) | (v111(constB43) <=> v26(constB43))),
% 14.30/9.58 inference(quant_inst,[status(thm)],[])).
% 14.30/9.58 tff(8745,plain,
% 14.30/9.58 (v111(constB43) <=> v26(constB43)),
% 14.30/9.58 inference(unit_resolution,[status(thm)],[8744, 5086])).
% 14.30/9.58 tff(8746,plain,
% 14.30/9.58 ((~![VarCurr: $i] : (~v26(VarCurr))) | (~v26(constB43))),
% 14.30/9.58 inference(quant_inst,[status(thm)],[])).
% 14.30/9.58 tff(8747,plain,
% 14.30/9.58 (~v26(constB43)),
% 14.30/9.58 inference(unit_resolution,[status(thm)],[8746, 5098])).
% 14.30/9.58 tff(8748,plain,
% 14.30/9.58 ((~(v111(constB43) <=> v26(constB43))) | (~v111(constB43)) | v26(constB43)),
% 14.30/9.58 inference(tautology,[status(thm)],[])).
% 14.30/9.58 tff(8749,plain,
% 14.30/9.58 ((~(v111(constB43) <=> v26(constB43))) | (~v111(constB43))),
% 14.30/9.58 inference(unit_resolution,[status(thm)],[8748, 8747])).
% 14.30/9.58 tff(8750,plain,
% 14.30/9.58 (~v111(constB43)),
% 14.30/9.58 inference(unit_resolution,[status(thm)],[8749, 8745])).
% 14.30/9.58 tff(8751,plain,
% 14.30/9.58 ((~((~v126(constB43)) <=> v111(constB43))) | v126(constB43) | v111(constB43)),
% 14.30/9.58 inference(tautology,[status(thm)],[])).
% 14.30/9.58 tff(8752,plain,
% 14.30/9.58 ((~((~v126(constB43)) <=> v111(constB43))) | v126(constB43)),
% 14.30/9.58 inference(unit_resolution,[status(thm)],[8751, 8750])).
% 14.30/9.58 tff(8753,plain,
% 14.30/9.58 (v126(constB43)),
% 14.30/9.58 inference(unit_resolution,[status(thm)],[8752, 8743])).
% 14.30/9.58 tff(8754,plain,
% 14.30/9.58 ((~((~v113(constB43)) | (~v126(constB43)))) | (~v113(constB43)) | (~v126(constB43))),
% 14.30/9.58 inference(tautology,[status(thm)],[])).
% 14.30/9.58 tff(8755,plain,
% 14.30/9.58 ((~((~v113(constB43)) | (~v126(constB43)))) | (~v113(constB43))),
% 14.30/9.58 inference(unit_resolution,[status(thm)],[8754, 8753])).
% 14.30/9.58 tff(8756,plain,
% 14.30/9.58 (~((~v113(constB43)) | (~v126(constB43)))),
% 14.30/9.58 inference(unit_resolution,[status(thm)],[8755, 8741])).
% 14.30/9.58 tff(8757,plain,
% 14.30/9.58 ((~(v112(constB43) <=> (~((~v113(constB43)) | (~v126(constB43)))))) | v112(constB43) | ((~v113(constB43)) | (~v126(constB43)))),
% 14.30/9.58 inference(tautology,[status(thm)],[])).
% 14.30/9.58 tff(8758,plain,
% 14.30/9.58 (v112(constB43)),
% 14.30/9.58 inference(unit_resolution,[status(thm)],[8757, 8756, 3003])).
% 14.30/9.58 tff(8759,plain,
% 14.30/9.58 ((v111(constB43) | v112(constB43)) | (~v112(constB43))),
% 14.30/9.58 inference(tautology,[status(thm)],[])).
% 14.30/9.58 tff(8760,plain,
% 14.30/9.58 (v111(constB43) | v112(constB43)),
% 14.30/9.58 inference(unit_resolution,[status(thm)],[8759, 8758])).
% 14.30/9.58 tff(8761,plain,
% 14.30/9.58 ((~(v108(constB43) <=> (v111(constB43) | v112(constB43)))) | v108(constB43) | (~(v111(constB43) | v112(constB43)))),
% 14.30/9.58 inference(tautology,[status(thm)],[])).
% 14.30/9.58 tff(8762,plain,
% 14.30/9.58 (v108(constB43)),
% 14.30/9.58 inference(unit_resolution,[status(thm)],[8761, 8760, 3001])).
% 14.30/9.58 tff(8763,plain,
% 14.30/9.58 ((~(v110(constB44) <=> v108(constB43))) | v110(constB44) | (~v108(constB43))),
% 14.30/9.58 inference(tautology,[status(thm)],[])).
% 14.30/9.58 tff(8764,plain,
% 14.30/9.58 (v110(constB44)),
% 14.30/9.58 inference(unit_resolution,[status(thm)],[8763, 8762, 2999])).
% 14.30/9.58 tff(8765,plain,
% 14.30/9.58 ((~((~v101(constB44)) | (~v110(constB44)))) | (~v101(constB44)) | (~v110(constB44))),
% 14.30/9.59 inference(tautology,[status(thm)],[])).
% 14.30/9.59 tff(8766,plain,
% 14.30/9.59 (~((~v101(constB44)) | (~v110(constB44)))),
% 14.30/9.59 inference(unit_resolution,[status(thm)],[8765, 8764, 2995])).
% 14.30/9.59 tff(8767,plain,
% 14.30/9.59 ((~(v100(constB44) <=> (~((~v101(constB44)) | (~v110(constB44)))))) | v100(constB44) | ((~v101(constB44)) | (~v110(constB44)))),
% 14.30/9.59 inference(tautology,[status(thm)],[])).
% 14.30/9.59 tff(8768,plain,
% 14.30/9.59 (v100(constB44)),
% 14.30/9.59 inference(unit_resolution,[status(thm)],[8767, 8766, 2964])).
% 14.30/9.59 tff(8769,plain,
% 14.30/9.59 (((~![VarNext: $i] : ((~v100(VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v129(VarNext, B))))) | ((~v100(constB44)) | ![B: $i] : ((~less_3(B)) | (v90(constB44, B) <=> v129(constB44, B))))) <=> ((~![VarNext: $i] : ((~v100(VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v129(VarNext, B))))) | (~v100(constB44)) | ![B: $i] : ((~less_3(B)) | (v90(constB44, B) <=> v129(constB44, B))))),
% 14.30/9.59 inference(rewrite,[status(thm)],[])).
% 14.30/9.59 tff(8770,plain,
% 14.30/9.59 ((~![VarNext: $i] : ((~v100(VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v129(VarNext, B))))) | ((~v100(constB44)) | ![B: $i] : ((~less_3(B)) | (v90(constB44, B) <=> v129(constB44, B))))),
% 14.30/9.59 inference(quant_inst,[status(thm)],[])).
% 14.30/9.59 tff(8771,plain,
% 14.30/9.59 ((~![VarNext: $i] : ((~v100(VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v129(VarNext, B))))) | (~v100(constB44)) | ![B: $i] : ((~less_3(B)) | (v90(constB44, B) <=> v129(constB44, B)))),
% 14.30/9.59 inference(modus_ponens,[status(thm)],[8770, 8769])).
% 14.30/9.59 tff(8772,plain,
% 14.30/9.59 ((~v100(constB44)) | ![B: $i] : ((~less_3(B)) | (v90(constB44, B) <=> v129(constB44, B)))),
% 14.30/9.59 inference(unit_resolution,[status(thm)],[8771, 5134])).
% 14.30/9.59 tff(8773,plain,
% 14.30/9.59 (![B: $i] : ((~less_3(B)) | (v90(constB44, B) <=> v129(constB44, B)))),
% 14.30/9.59 inference(unit_resolution,[status(thm)],[8772, 8768])).
% 14.30/9.59 tff(8774,plain,
% 14.30/9.59 (((~![B: $i] : ((~less_3(B)) | (v90(constB44, B) <=> v129(constB44, B)))) | ((~less_3(bitIndex2)) | (v90(constB44, bitIndex2) <=> v129(constB44, bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v90(constB44, B) <=> v129(constB44, B)))) | (~less_3(bitIndex2)) | (v90(constB44, bitIndex2) <=> v129(constB44, bitIndex2)))),
% 14.30/9.59 inference(rewrite,[status(thm)],[])).
% 14.30/9.59 tff(8775,plain,
% 14.30/9.59 ((~![B: $i] : ((~less_3(B)) | (v90(constB44, B) <=> v129(constB44, B)))) | ((~less_3(bitIndex2)) | (v90(constB44, bitIndex2) <=> v129(constB44, bitIndex2)))),
% 14.30/9.59 inference(quant_inst,[status(thm)],[])).
% 14.30/9.59 tff(8776,plain,
% 14.30/9.59 ((~![B: $i] : ((~less_3(B)) | (v90(constB44, B) <=> v129(constB44, B)))) | (~less_3(bitIndex2)) | (v90(constB44, bitIndex2) <=> v129(constB44, bitIndex2))),
% 14.30/9.59 inference(modus_ponens,[status(thm)],[8775, 8774])).
% 14.30/9.59 tff(8777,plain,
% 14.30/9.59 (v90(constB44, bitIndex2) <=> v129(constB44, bitIndex2)),
% 14.30/9.59 inference(unit_resolution,[status(thm)],[8776, 413, 8773])).
% 14.30/9.59 tff(8778,plain,
% 14.30/9.59 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v129(VarNext, B) <=> v127(VarCurr, B))))) | ((~nextState(constB43, constB44)) | ![B: $i] : ((~less_3(B)) | (v129(constB44, B) <=> v127(constB43, B))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v129(VarNext, B) <=> v127(VarCurr, B))))) | (~nextState(constB43, constB44)) | ![B: $i] : ((~less_3(B)) | (v129(constB44, B) <=> v127(constB43, B))))),
% 14.30/9.59 inference(rewrite,[status(thm)],[])).
% 14.30/9.59 tff(8779,plain,
% 14.30/9.59 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v129(VarNext, B) <=> v127(VarCurr, B))))) | ((~nextState(constB43, constB44)) | ![B: $i] : ((~less_3(B)) | (v129(constB44, B) <=> v127(constB43, B))))),
% 14.30/9.59 inference(quant_inst,[status(thm)],[])).
% 14.30/9.59 tff(8780,plain,
% 14.30/9.59 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v129(VarNext, B) <=> v127(VarCurr, B))))) | (~nextState(constB43, constB44)) | ![B: $i] : ((~less_3(B)) | (v129(constB44, B) <=> v127(constB43, B)))),
% 14.30/9.59 inference(modus_ponens,[status(thm)],[8779, 8778])).
% 14.30/9.59 tff(8781,plain,
% 14.30/9.59 (![B: $i] : ((~less_3(B)) | (v129(constB44, B) <=> v127(constB43, B)))),
% 14.30/9.59 inference(unit_resolution,[status(thm)],[8780, 2960, 5156])).
% 14.30/9.59 tff(8782,plain,
% 14.30/9.59 (((~![B: $i] : ((~less_3(B)) | (v129(constB44, B) <=> v127(constB43, B)))) | ((~less_3(bitIndex2)) | (v129(constB44, bitIndex2) <=> v127(constB43, bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v129(constB44, B) <=> v127(constB43, B)))) | (~less_3(bitIndex2)) | (v129(constB44, bitIndex2) <=> v127(constB43, bitIndex2)))),
% 14.30/9.59 inference(rewrite,[status(thm)],[])).
% 14.30/9.59 tff(8783,plain,
% 14.30/9.59 ((~![B: $i] : ((~less_3(B)) | (v129(constB44, B) <=> v127(constB43, B)))) | ((~less_3(bitIndex2)) | (v129(constB44, bitIndex2) <=> v127(constB43, bitIndex2)))),
% 14.30/9.59 inference(quant_inst,[status(thm)],[])).
% 14.30/9.59 tff(8784,plain,
% 14.30/9.59 ((~![B: $i] : ((~less_3(B)) | (v129(constB44, B) <=> v127(constB43, B)))) | (~less_3(bitIndex2)) | (v129(constB44, bitIndex2) <=> v127(constB43, bitIndex2))),
% 14.30/9.59 inference(modus_ponens,[status(thm)],[8783, 8782])).
% 14.30/9.59 tff(8785,plain,
% 14.30/9.59 (v129(constB44, bitIndex2) <=> v127(constB43, bitIndex2)),
% 14.30/9.59 inference(unit_resolution,[status(thm)],[8784, 413, 8781])).
% 14.30/9.59 tff(8786,plain,
% 14.30/9.59 (((~![VarCurr: $i] : (v111(VarCurr) | ![B: $i] : ((~less_3(B)) | (v127(VarCurr, B) <=> v130(VarCurr, B))))) | (v111(constB43) | ![B: $i] : ((~less_3(B)) | (v127(constB43, B) <=> v130(constB43, B))))) <=> ((~![VarCurr: $i] : (v111(VarCurr) | ![B: $i] : ((~less_3(B)) | (v127(VarCurr, B) <=> v130(VarCurr, B))))) | v111(constB43) | ![B: $i] : ((~less_3(B)) | (v127(constB43, B) <=> v130(constB43, B))))),
% 14.30/9.59 inference(rewrite,[status(thm)],[])).
% 14.30/9.59 tff(8787,plain,
% 14.30/9.59 ((~![VarCurr: $i] : (v111(VarCurr) | ![B: $i] : ((~less_3(B)) | (v127(VarCurr, B) <=> v130(VarCurr, B))))) | (v111(constB43) | ![B: $i] : ((~less_3(B)) | (v127(constB43, B) <=> v130(constB43, B))))),
% 14.30/9.59 inference(quant_inst,[status(thm)],[])).
% 14.30/9.59 tff(8788,plain,
% 14.30/9.59 ((~![VarCurr: $i] : (v111(VarCurr) | ![B: $i] : ((~less_3(B)) | (v127(VarCurr, B) <=> v130(VarCurr, B))))) | v111(constB43) | ![B: $i] : ((~less_3(B)) | (v127(constB43, B) <=> v130(constB43, B)))),
% 14.30/9.59 inference(modus_ponens,[status(thm)],[8787, 8786])).
% 14.30/9.59 tff(8789,plain,
% 14.30/9.59 (![B: $i] : ((~less_3(B)) | (v127(constB43, B) <=> v130(constB43, B)))),
% 14.30/9.59 inference(unit_resolution,[status(thm)],[8788, 5177, 8750])).
% 14.30/9.59 tff(8790,plain,
% 14.30/9.59 (((~![B: $i] : ((~less_3(B)) | (v127(constB43, B) <=> v130(constB43, B)))) | ((~less_3(bitIndex2)) | (v127(constB43, bitIndex2) <=> v130(constB43, bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v127(constB43, B) <=> v130(constB43, B)))) | (~less_3(bitIndex2)) | (v127(constB43, bitIndex2) <=> v130(constB43, bitIndex2)))),
% 14.30/9.59 inference(rewrite,[status(thm)],[])).
% 14.30/9.59 tff(8791,plain,
% 14.30/9.59 ((~![B: $i] : ((~less_3(B)) | (v127(constB43, B) <=> v130(constB43, B)))) | ((~less_3(bitIndex2)) | (v127(constB43, bitIndex2) <=> v130(constB43, bitIndex2)))),
% 14.30/9.59 inference(quant_inst,[status(thm)],[])).
% 14.30/9.59 tff(8792,plain,
% 14.30/9.59 ((~![B: $i] : ((~less_3(B)) | (v127(constB43, B) <=> v130(constB43, B)))) | (~less_3(bitIndex2)) | (v127(constB43, bitIndex2) <=> v130(constB43, bitIndex2))),
% 14.30/9.59 inference(modus_ponens,[status(thm)],[8791, 8790])).
% 14.30/9.59 tff(8793,plain,
% 14.30/9.59 (v127(constB43, bitIndex2) <=> v130(constB43, bitIndex2)),
% 14.30/9.59 inference(unit_resolution,[status(thm)],[8792, 413, 8789])).
% 14.30/9.59 tff(8794,plain,
% 14.30/9.59 (((~![VarCurr: $i] : ((~v123(VarCurr)) | ![B: $i] : ((~less_3(B)) | (v130(VarCurr, B) <=> b110(B))))) | ((~v123(constB43)) | ![B: $i] : ((~less_3(B)) | (v130(constB43, B) <=> b110(B))))) <=> ((~![VarCurr: $i] : ((~v123(VarCurr)) | ![B: $i] : ((~less_3(B)) | (v130(VarCurr, B) <=> b110(B))))) | (~v123(constB43)) | ![B: $i] : ((~less_3(B)) | (v130(constB43, B) <=> b110(B))))),
% 14.30/9.59 inference(rewrite,[status(thm)],[])).
% 14.30/9.59 tff(8795,plain,
% 14.30/9.59 ((~![VarCurr: $i] : ((~v123(VarCurr)) | ![B: $i] : ((~less_3(B)) | (v130(VarCurr, B) <=> b110(B))))) | ((~v123(constB43)) | ![B: $i] : ((~less_3(B)) | (v130(constB43, B) <=> b110(B))))),
% 14.30/9.59 inference(quant_inst,[status(thm)],[])).
% 14.30/9.59 tff(8796,plain,
% 14.30/9.59 ((~![VarCurr: $i] : ((~v123(VarCurr)) | ![B: $i] : ((~less_3(B)) | (v130(VarCurr, B) <=> b110(B))))) | (~v123(constB43)) | ![B: $i] : ((~less_3(B)) | (v130(constB43, B) <=> b110(B)))),
% 14.30/9.59 inference(modus_ponens,[status(thm)],[8795, 8794])).
% 14.30/9.59 tff(8797,plain,
% 14.30/9.59 ((~v123(constB43)) | ![B: $i] : ((~less_3(B)) | (v130(constB43, B) <=> b110(B)))),
% 14.30/9.59 inference(unit_resolution,[status(thm)],[8796, 5369])).
% 14.30/9.59 tff(8798,plain,
% 14.30/9.59 (![B: $i] : ((~less_3(B)) | (v130(constB43, B) <=> b110(B)))),
% 14.30/9.59 inference(unit_resolution,[status(thm)],[8797, 8729])).
% 14.30/9.59 tff(8799,plain,
% 14.30/9.59 (((~![B: $i] : ((~less_3(B)) | (v130(constB43, B) <=> b110(B)))) | ((~less_3(bitIndex2)) | (v130(constB43, bitIndex2) <=> b110(bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v130(constB43, B) <=> b110(B)))) | (~less_3(bitIndex2)) | (v130(constB43, bitIndex2) <=> b110(bitIndex2)))),
% 14.30/9.59 inference(rewrite,[status(thm)],[])).
% 14.30/9.59 tff(8800,plain,
% 14.30/9.59 ((~![B: $i] : ((~less_3(B)) | (v130(constB43, B) <=> b110(B)))) | ((~less_3(bitIndex2)) | (v130(constB43, bitIndex2) <=> b110(bitIndex2)))),
% 14.30/9.59 inference(quant_inst,[status(thm)],[])).
% 14.30/9.59 tff(8801,plain,
% 14.30/9.59 ((~![B: $i] : ((~less_3(B)) | (v130(constB43, B) <=> b110(B)))) | (~less_3(bitIndex2)) | (v130(constB43, bitIndex2) <=> b110(bitIndex2))),
% 14.30/9.59 inference(modus_ponens,[status(thm)],[8800, 8799])).
% 14.30/9.59 tff(8802,plain,
% 14.30/9.59 (v130(constB43, bitIndex2) <=> b110(bitIndex2)),
% 14.30/9.59 inference(unit_resolution,[status(thm)],[8801, 413, 8798])).
% 14.30/9.59 tff(8803,plain,
% 14.30/9.59 ((~(v130(constB43, bitIndex2) <=> b110(bitIndex2))) | v130(constB43, bitIndex2) | (~b110(bitIndex2))),
% 14.30/9.59 inference(tautology,[status(thm)],[])).
% 14.30/9.59 tff(8804,plain,
% 14.30/9.59 ((~(v130(constB43, bitIndex2) <=> b110(bitIndex2))) | v130(constB43, bitIndex2)),
% 14.30/9.59 inference(unit_resolution,[status(thm)],[8803, 5381])).
% 14.30/9.59 tff(8805,plain,
% 14.30/9.59 (v130(constB43, bitIndex2)),
% 14.30/9.59 inference(unit_resolution,[status(thm)],[8804, 8802])).
% 14.30/9.59 tff(8806,plain,
% 14.30/9.59 ((~(v127(constB43, bitIndex2) <=> v130(constB43, bitIndex2))) | v127(constB43, bitIndex2) | (~v130(constB43, bitIndex2))),
% 14.30/9.59 inference(tautology,[status(thm)],[])).
% 14.30/9.59 tff(8807,plain,
% 14.30/9.59 (v127(constB43, bitIndex2)),
% 14.30/9.59 inference(unit_resolution,[status(thm)],[8806, 8805, 8793])).
% 14.30/9.59 tff(8808,plain,
% 14.30/9.59 ((~(v129(constB44, bitIndex2) <=> v127(constB43, bitIndex2))) | v129(constB44, bitIndex2) | (~v127(constB43, bitIndex2))),
% 14.30/9.59 inference(tautology,[status(thm)],[])).
% 14.30/9.59 tff(8809,plain,
% 14.30/9.59 (v129(constB44, bitIndex2)),
% 14.30/9.59 inference(unit_resolution,[status(thm)],[8808, 8807, 8785])).
% 14.30/9.59 tff(8810,plain,
% 14.30/9.59 ((~(v90(constB44, bitIndex2) <=> v129(constB44, bitIndex2))) | v90(constB44, bitIndex2) | (~v129(constB44, bitIndex2))),
% 14.30/9.59 inference(tautology,[status(thm)],[])).
% 14.30/9.59 tff(8811,plain,
% 14.30/9.59 (v90(constB44, bitIndex2)),
% 14.30/9.59 inference(unit_resolution,[status(thm)],[8810, 8809, 8777])).
% 14.30/9.59 tff(8812,plain,
% 14.30/9.59 ((~(v90(constB45, bitIndex2) <=> v90(constB44, bitIndex2))) | v90(constB45, bitIndex2) | (~v90(constB44, bitIndex2))),
% 14.30/9.59 inference(tautology,[status(thm)],[])).
% 14.30/9.59 tff(8813,plain,
% 14.30/9.59 (v90(constB45, bitIndex2)),
% 14.30/9.59 inference(unit_resolution,[status(thm)],[8812, 8811, 2957])).
% 14.30/9.59 tff(8814,plain,
% 14.30/9.59 (((~![B: $i] : ((~less_3(B)) | (v90(constB45, B) <=> v90(constB44, B)))) | ((~less_3(bitIndex0)) | (v90(constB45, bitIndex0) <=> v90(constB44, bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v90(constB45, B) <=> v90(constB44, B)))) | (~less_3(bitIndex0)) | (v90(constB45, bitIndex0) <=> v90(constB44, bitIndex0)))),
% 14.30/9.59 inference(rewrite,[status(thm)],[])).
% 14.30/9.59 tff(8815,plain,
% 14.30/9.59 ((~![B: $i] : ((~less_3(B)) | (v90(constB45, B) <=> v90(constB44, B)))) | ((~less_3(bitIndex0)) | (v90(constB45, bitIndex0) <=> v90(constB44, bitIndex0)))),
% 14.30/9.59 inference(quant_inst,[status(thm)],[])).
% 14.30/9.59 tff(8816,plain,
% 14.30/9.59 ((~![B: $i] : ((~less_3(B)) | (v90(constB45, B) <=> v90(constB44, B)))) | (~less_3(bitIndex0)) | (v90(constB45, bitIndex0) <=> v90(constB44, bitIndex0))),
% 14.30/9.59 inference(modus_ponens,[status(thm)],[8815, 8814])).
% 14.30/9.59 tff(8817,plain,
% 14.30/9.59 (v90(constB45, bitIndex0) <=> v90(constB44, bitIndex0)),
% 14.30/9.59 inference(unit_resolution,[status(thm)],[8816, 5004, 2953])).
% 14.30/9.59 tff(8818,plain,
% 14.30/9.59 (((~![B: $i] : ((~less_3(B)) | (v90(constB44, B) <=> v129(constB44, B)))) | ((~less_3(bitIndex0)) | (v90(constB44, bitIndex0) <=> v129(constB44, bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v90(constB44, B) <=> v129(constB44, B)))) | (~less_3(bitIndex0)) | (v90(constB44, bitIndex0) <=> v129(constB44, bitIndex0)))),
% 14.30/9.59 inference(rewrite,[status(thm)],[])).
% 14.30/9.59 tff(8819,plain,
% 14.30/9.59 ((~![B: $i] : ((~less_3(B)) | (v90(constB44, B) <=> v129(constB44, B)))) | ((~less_3(bitIndex0)) | (v90(constB44, bitIndex0) <=> v129(constB44, bitIndex0)))),
% 14.30/9.59 inference(quant_inst,[status(thm)],[])).
% 14.30/9.59 tff(8820,plain,
% 14.30/9.59 ((~![B: $i] : ((~less_3(B)) | (v90(constB44, B) <=> v129(constB44, B)))) | (~less_3(bitIndex0)) | (v90(constB44, bitIndex0) <=> v129(constB44, bitIndex0))),
% 14.30/9.59 inference(modus_ponens,[status(thm)],[8819, 8818])).
% 14.30/9.59 tff(8821,plain,
% 14.30/9.59 (v90(constB44, bitIndex0) <=> v129(constB44, bitIndex0)),
% 14.30/9.59 inference(unit_resolution,[status(thm)],[8820, 5004, 8773])).
% 14.30/9.59 tff(8822,plain,
% 14.30/9.59 (((~![B: $i] : ((~less_3(B)) | (v129(constB44, B) <=> v127(constB43, B)))) | ((~less_3(bitIndex0)) | (v129(constB44, bitIndex0) <=> v127(constB43, bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v129(constB44, B) <=> v127(constB43, B)))) | (~less_3(bitIndex0)) | (v129(constB44, bitIndex0) <=> v127(constB43, bitIndex0)))),
% 14.30/9.59 inference(rewrite,[status(thm)],[])).
% 14.30/9.59 tff(8823,plain,
% 14.30/9.59 ((~![B: $i] : ((~less_3(B)) | (v129(constB44, B) <=> v127(constB43, B)))) | ((~less_3(bitIndex0)) | (v129(constB44, bitIndex0) <=> v127(constB43, bitIndex0)))),
% 14.30/9.59 inference(quant_inst,[status(thm)],[])).
% 14.30/9.59 tff(8824,plain,
% 14.30/9.59 ((~![B: $i] : ((~less_3(B)) | (v129(constB44, B) <=> v127(constB43, B)))) | (~less_3(bitIndex0)) | (v129(constB44, bitIndex0) <=> v127(constB43, bitIndex0))),
% 14.30/9.59 inference(modus_ponens,[status(thm)],[8823, 8822])).
% 14.30/9.59 tff(8825,plain,
% 14.30/9.59 (v129(constB44, bitIndex0) <=> v127(constB43, bitIndex0)),
% 14.30/9.59 inference(unit_resolution,[status(thm)],[8824, 5004, 8781])).
% 14.30/9.59 tff(8826,plain,
% 14.30/9.59 (((~![B: $i] : ((~less_3(B)) | (v127(constB43, B) <=> v130(constB43, B)))) | ((~less_3(bitIndex0)) | (v127(constB43, bitIndex0) <=> v130(constB43, bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v127(constB43, B) <=> v130(constB43, B)))) | (~less_3(bitIndex0)) | (v127(constB43, bitIndex0) <=> v130(constB43, bitIndex0)))),
% 14.30/9.59 inference(rewrite,[status(thm)],[])).
% 14.30/9.59 tff(8827,plain,
% 14.30/9.59 ((~![B: $i] : ((~less_3(B)) | (v127(constB43, B) <=> v130(constB43, B)))) | ((~less_3(bitIndex0)) | (v127(constB43, bitIndex0) <=> v130(constB43, bitIndex0)))),
% 14.30/9.59 inference(quant_inst,[status(thm)],[])).
% 14.30/9.59 tff(8828,plain,
% 14.30/9.59 ((~![B: $i] : ((~less_3(B)) | (v127(constB43, B) <=> v130(constB43, B)))) | (~less_3(bitIndex0)) | (v127(constB43, bitIndex0) <=> v130(constB43, bitIndex0))),
% 14.30/9.59 inference(modus_ponens,[status(thm)],[8827, 8826])).
% 14.30/9.59 tff(8829,plain,
% 14.30/9.59 (v127(constB43, bitIndex0) <=> v130(constB43, bitIndex0)),
% 14.30/9.59 inference(unit_resolution,[status(thm)],[8828, 5004, 8789])).
% 14.30/9.59 tff(8830,plain,
% 14.30/9.59 (((~![B: $i] : ((~less_3(B)) | (v130(constB43, B) <=> b110(B)))) | ((~less_3(bitIndex0)) | (v130(constB43, bitIndex0) <=> b110(bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v130(constB43, B) <=> b110(B)))) | (~less_3(bitIndex0)) | (v130(constB43, bitIndex0) <=> b110(bitIndex0)))),
% 14.30/9.59 inference(rewrite,[status(thm)],[])).
% 14.30/9.59 tff(8831,plain,
% 14.30/9.59 ((~![B: $i] : ((~less_3(B)) | (v130(constB43, B) <=> b110(B)))) | ((~less_3(bitIndex0)) | (v130(constB43, bitIndex0) <=> b110(bitIndex0)))),
% 14.30/9.59 inference(quant_inst,[status(thm)],[])).
% 14.30/9.59 tff(8832,plain,
% 14.30/9.59 ((~![B: $i] : ((~less_3(B)) | (v130(constB43, B) <=> b110(B)))) | (~less_3(bitIndex0)) | (v130(constB43, bitIndex0) <=> b110(bitIndex0))),
% 14.30/9.59 inference(modus_ponens,[status(thm)],[8831, 8830])).
% 14.30/9.59 tff(8833,plain,
% 14.30/9.59 (v130(constB43, bitIndex0) <=> b110(bitIndex0)),
% 14.30/9.59 inference(unit_resolution,[status(thm)],[8832, 5004, 8798])).
% 14.30/9.59 tff(8834,plain,
% 14.30/9.59 ((~(v130(constB43, bitIndex0) <=> b110(bitIndex0))) | (~v130(constB43, bitIndex0)) | b110(bitIndex0)),
% 14.30/9.59 inference(tautology,[status(thm)],[])).
% 14.30/9.59 tff(8835,plain,
% 14.30/9.59 ((~(v130(constB43, bitIndex0) <=> b110(bitIndex0))) | (~v130(constB43, bitIndex0))),
% 14.30/9.59 inference(unit_resolution,[status(thm)],[8834, 5415])).
% 14.30/9.59 tff(8836,plain,
% 14.30/9.59 (~v130(constB43, bitIndex0)),
% 14.30/9.59 inference(unit_resolution,[status(thm)],[8835, 8833])).
% 14.30/9.59 tff(8837,plain,
% 14.30/9.59 ((~(v127(constB43, bitIndex0) <=> v130(constB43, bitIndex0))) | (~v127(constB43, bitIndex0)) | v130(constB43, bitIndex0)),
% 14.30/9.59 inference(tautology,[status(thm)],[])).
% 14.30/9.59 tff(8838,plain,
% 14.30/9.59 (~v127(constB43, bitIndex0)),
% 14.30/9.59 inference(unit_resolution,[status(thm)],[8837, 8836, 8829])).
% 14.30/9.59 tff(8839,plain,
% 14.30/9.59 ((~(v129(constB44, bitIndex0) <=> v127(constB43, bitIndex0))) | (~v129(constB44, bitIndex0)) | v127(constB43, bitIndex0)),
% 14.30/9.59 inference(tautology,[status(thm)],[])).
% 14.30/9.59 tff(8840,plain,
% 14.30/9.59 (~v129(constB44, bitIndex0)),
% 14.30/9.59 inference(unit_resolution,[status(thm)],[8839, 8838, 8825])).
% 14.30/9.59 tff(8841,plain,
% 14.30/9.59 ((~(v90(constB44, bitIndex0) <=> v129(constB44, bitIndex0))) | (~v90(constB44, bitIndex0)) | v129(constB44, bitIndex0)),
% 14.30/9.59 inference(tautology,[status(thm)],[])).
% 14.30/9.59 tff(8842,plain,
% 14.30/9.59 (~v90(constB44, bitIndex0)),
% 14.30/9.59 inference(unit_resolution,[status(thm)],[8841, 8840, 8821])).
% 14.30/9.59 tff(8843,plain,
% 14.30/9.59 ((~(v90(constB45, bitIndex0) <=> v90(constB44, bitIndex0))) | (~v90(constB45, bitIndex0)) | v90(constB44, bitIndex0)),
% 14.30/9.59 inference(tautology,[status(thm)],[])).
% 14.30/9.59 tff(8844,plain,
% 14.30/9.59 (~v90(constB45, bitIndex0)),
% 14.30/9.59 inference(unit_resolution,[status(thm)],[8843, 8842, 8817])).
% 14.30/9.59 tff(8845,plain,
% 14.30/9.59 (((~![B: $i] : ((~less_3(B)) | (v90(constB45, B) <=> v90(constB44, B)))) | ((~less_3(bitIndex1)) | (v90(constB45, bitIndex1) <=> v90(constB44, bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v90(constB45, B) <=> v90(constB44, B)))) | (~less_3(bitIndex1)) | (v90(constB45, bitIndex1) <=> v90(constB44, bitIndex1)))),
% 14.30/9.59 inference(rewrite,[status(thm)],[])).
% 14.30/9.59 tff(8846,plain,
% 14.30/9.59 ((~![B: $i] : ((~less_3(B)) | (v90(constB45, B) <=> v90(constB44, B)))) | ((~less_3(bitIndex1)) | (v90(constB45, bitIndex1) <=> v90(constB44, bitIndex1)))),
% 14.30/9.59 inference(quant_inst,[status(thm)],[])).
% 14.30/9.59 tff(8847,plain,
% 14.30/9.59 ((~![B: $i] : ((~less_3(B)) | (v90(constB45, B) <=> v90(constB44, B)))) | (~less_3(bitIndex1)) | (v90(constB45, bitIndex1) <=> v90(constB44, bitIndex1))),
% 14.30/9.59 inference(modus_ponens,[status(thm)],[8846, 8845])).
% 14.30/9.59 tff(8848,plain,
% 14.30/9.59 (v90(constB45, bitIndex1) <=> v90(constB44, bitIndex1)),
% 14.30/9.59 inference(unit_resolution,[status(thm)],[8847, 5017, 2953])).
% 14.30/9.59 tff(8849,plain,
% 14.30/9.59 (((~![B: $i] : ((~less_3(B)) | (v90(constB44, B) <=> v129(constB44, B)))) | ((~less_3(bitIndex1)) | (v90(constB44, bitIndex1) <=> v129(constB44, bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v90(constB44, B) <=> v129(constB44, B)))) | (~less_3(bitIndex1)) | (v90(constB44, bitIndex1) <=> v129(constB44, bitIndex1)))),
% 14.30/9.59 inference(rewrite,[status(thm)],[])).
% 14.30/9.59 tff(8850,plain,
% 14.30/9.59 ((~![B: $i] : ((~less_3(B)) | (v90(constB44, B) <=> v129(constB44, B)))) | ((~less_3(bitIndex1)) | (v90(constB44, bitIndex1) <=> v129(constB44, bitIndex1)))),
% 14.30/9.59 inference(quant_inst,[status(thm)],[])).
% 14.30/9.59 tff(8851,plain,
% 14.30/9.59 ((~![B: $i] : ((~less_3(B)) | (v90(constB44, B) <=> v129(constB44, B)))) | (~less_3(bitIndex1)) | (v90(constB44, bitIndex1) <=> v129(constB44, bitIndex1))),
% 14.30/9.59 inference(modus_ponens,[status(thm)],[8850, 8849])).
% 14.30/9.59 tff(8852,plain,
% 14.30/9.59 (v90(constB44, bitIndex1) <=> v129(constB44, bitIndex1)),
% 14.30/9.59 inference(unit_resolution,[status(thm)],[8851, 5017, 8773])).
% 14.30/9.59 tff(8853,plain,
% 14.30/9.59 (((~![B: $i] : ((~less_3(B)) | (v129(constB44, B) <=> v127(constB43, B)))) | ((~less_3(bitIndex1)) | (v129(constB44, bitIndex1) <=> v127(constB43, bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v129(constB44, B) <=> v127(constB43, B)))) | (~less_3(bitIndex1)) | (v129(constB44, bitIndex1) <=> v127(constB43, bitIndex1)))),
% 14.30/9.59 inference(rewrite,[status(thm)],[])).
% 14.30/9.59 tff(8854,plain,
% 14.30/9.59 ((~![B: $i] : ((~less_3(B)) | (v129(constB44, B) <=> v127(constB43, B)))) | ((~less_3(bitIndex1)) | (v129(constB44, bitIndex1) <=> v127(constB43, bitIndex1)))),
% 14.30/9.59 inference(quant_inst,[status(thm)],[])).
% 14.30/9.59 tff(8855,plain,
% 14.30/9.59 ((~![B: $i] : ((~less_3(B)) | (v129(constB44, B) <=> v127(constB43, B)))) | (~less_3(bitIndex1)) | (v129(constB44, bitIndex1) <=> v127(constB43, bitIndex1))),
% 14.30/9.59 inference(modus_ponens,[status(thm)],[8854, 8853])).
% 14.30/9.59 tff(8856,plain,
% 14.30/9.59 (v129(constB44, bitIndex1) <=> v127(constB43, bitIndex1)),
% 14.30/9.59 inference(unit_resolution,[status(thm)],[8855, 5017, 8781])).
% 14.30/9.59 tff(8857,plain,
% 14.30/9.59 (((~![B: $i] : ((~less_3(B)) | (v127(constB43, B) <=> v130(constB43, B)))) | ((~less_3(bitIndex1)) | (v127(constB43, bitIndex1) <=> v130(constB43, bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v127(constB43, B) <=> v130(constB43, B)))) | (~less_3(bitIndex1)) | (v127(constB43, bitIndex1) <=> v130(constB43, bitIndex1)))),
% 14.30/9.59 inference(rewrite,[status(thm)],[])).
% 14.30/9.59 tff(8858,plain,
% 14.30/9.59 ((~![B: $i] : ((~less_3(B)) | (v127(constB43, B) <=> v130(constB43, B)))) | ((~less_3(bitIndex1)) | (v127(constB43, bitIndex1) <=> v130(constB43, bitIndex1)))),
% 14.30/9.59 inference(quant_inst,[status(thm)],[])).
% 14.30/9.59 tff(8859,plain,
% 14.30/9.59 ((~![B: $i] : ((~less_3(B)) | (v127(constB43, B) <=> v130(constB43, B)))) | (~less_3(bitIndex1)) | (v127(constB43, bitIndex1) <=> v130(constB43, bitIndex1))),
% 14.30/9.59 inference(modus_ponens,[status(thm)],[8858, 8857])).
% 14.30/9.59 tff(8860,plain,
% 14.30/9.59 (v127(constB43, bitIndex1) <=> v130(constB43, bitIndex1)),
% 14.30/9.59 inference(unit_resolution,[status(thm)],[8859, 5017, 8789])).
% 14.30/9.59 tff(8861,plain,
% 14.30/9.59 (((~![B: $i] : ((~less_3(B)) | (v130(constB43, B) <=> b110(B)))) | ((~less_3(bitIndex1)) | (v130(constB43, bitIndex1) <=> b110(bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v130(constB43, B) <=> b110(B)))) | (~less_3(bitIndex1)) | (v130(constB43, bitIndex1) <=> b110(bitIndex1)))),
% 14.30/9.59 inference(rewrite,[status(thm)],[])).
% 14.30/9.59 tff(8862,plain,
% 14.30/9.59 ((~![B: $i] : ((~less_3(B)) | (v130(constB43, B) <=> b110(B)))) | ((~less_3(bitIndex1)) | (v130(constB43, bitIndex1) <=> b110(bitIndex1)))),
% 14.30/9.59 inference(quant_inst,[status(thm)],[])).
% 14.30/9.59 tff(8863,plain,
% 14.30/9.59 ((~![B: $i] : ((~less_3(B)) | (v130(constB43, B) <=> b110(B)))) | (~less_3(bitIndex1)) | (v130(constB43, bitIndex1) <=> b110(bitIndex1))),
% 14.30/9.59 inference(modus_ponens,[status(thm)],[8862, 8861])).
% 14.30/9.59 tff(8864,plain,
% 14.30/9.59 (v130(constB43, bitIndex1) <=> b110(bitIndex1)),
% 14.30/9.59 inference(unit_resolution,[status(thm)],[8863, 5017, 8798])).
% 14.30/9.59 tff(8865,plain,
% 14.30/9.59 ((~(v130(constB43, bitIndex1) <=> b110(bitIndex1))) | v130(constB43, bitIndex1) | (~b110(bitIndex1))),
% 14.30/9.59 inference(tautology,[status(thm)],[])).
% 14.30/9.59 tff(8866,plain,
% 14.30/9.59 ((~(v130(constB43, bitIndex1) <=> b110(bitIndex1))) | v130(constB43, bitIndex1)),
% 14.30/9.59 inference(unit_resolution,[status(thm)],[8865, 5449])).
% 14.30/9.59 tff(8867,plain,
% 14.30/9.59 (v130(constB43, bitIndex1)),
% 14.30/9.59 inference(unit_resolution,[status(thm)],[8866, 8864])).
% 14.30/9.59 tff(8868,plain,
% 14.30/9.59 ((~(v127(constB43, bitIndex1) <=> v130(constB43, bitIndex1))) | v127(constB43, bitIndex1) | (~v130(constB43, bitIndex1))),
% 14.30/9.59 inference(tautology,[status(thm)],[])).
% 14.30/9.59 tff(8869,plain,
% 14.30/9.59 (v127(constB43, bitIndex1)),
% 14.30/9.59 inference(unit_resolution,[status(thm)],[8868, 8867, 8860])).
% 14.30/9.59 tff(8870,plain,
% 14.30/9.59 ((~(v129(constB44, bitIndex1) <=> v127(constB43, bitIndex1))) | v129(constB44, bitIndex1) | (~v127(constB43, bitIndex1))),
% 14.30/9.59 inference(tautology,[status(thm)],[])).
% 14.30/9.59 tff(8871,plain,
% 14.30/9.59 (v129(constB44, bitIndex1)),
% 14.30/9.59 inference(unit_resolution,[status(thm)],[8870, 8869, 8856])).
% 14.30/9.59 tff(8872,plain,
% 14.30/9.59 ((~(v90(constB44, bitIndex1) <=> v129(constB44, bitIndex1))) | v90(constB44, bitIndex1) | (~v129(constB44, bitIndex1))),
% 14.30/9.59 inference(tautology,[status(thm)],[])).
% 14.30/9.59 tff(8873,plain,
% 14.30/9.59 (v90(constB44, bitIndex1)),
% 14.30/9.59 inference(unit_resolution,[status(thm)],[8872, 8871, 8852])).
% 14.30/9.59 tff(8874,plain,
% 14.30/9.59 ((~(v90(constB45, bitIndex1) <=> v90(constB44, bitIndex1))) | v90(constB45, bitIndex1) | (~v90(constB44, bitIndex1))),
% 14.30/9.59 inference(tautology,[status(thm)],[])).
% 14.30/9.59 tff(8875,plain,
% 14.30/9.59 (v90(constB45, bitIndex1)),
% 14.30/9.59 inference(unit_resolution,[status(thm)],[8874, 8873, 8848])).
% 14.30/9.59 tff(8876,plain,
% 14.30/9.59 ((~((~v90(constB45, bitIndex2)) | (~v90(constB45, bitIndex1)) | v90(constB45, bitIndex0))) | (~v90(constB45, bitIndex2)) | (~v90(constB45, bitIndex1)) | v90(constB45, bitIndex0)),
% 14.30/9.59 inference(tautology,[status(thm)],[])).
% 14.30/9.59 tff(8877,plain,
% 14.30/9.59 (~((~v90(constB45, bitIndex2)) | (~v90(constB45, bitIndex1)) | v90(constB45, bitIndex0))),
% 14.30/9.59 inference(unit_resolution,[status(thm)],[8876, 8875, 8844, 8813])).
% 14.39/9.59 tff(8878,plain,
% 14.39/9.59 ((~(v125(constB45) <=> (~((~v90(constB45, bitIndex2)) | (~v90(constB45, bitIndex1)) | v90(constB45, bitIndex0))))) | v125(constB45) | ((~v90(constB45, bitIndex2)) | (~v90(constB45, bitIndex1)) | v90(constB45, bitIndex0))),
% 14.39/9.59 inference(tautology,[status(thm)],[])).
% 14.39/9.59 tff(8879,plain,
% 14.39/9.59 (v125(constB45)),
% 14.39/9.59 inference(unit_resolution,[status(thm)],[8878, 8877, 2925])).
% 14.39/9.59 tff(8880,plain,
% 14.39/9.59 ((v114(constB45) | v125(constB45)) | (~v125(constB45))),
% 14.39/9.59 inference(tautology,[status(thm)],[])).
% 14.39/9.59 tff(8881,plain,
% 14.39/9.59 (v114(constB45) | v125(constB45)),
% 14.39/9.59 inference(unit_resolution,[status(thm)],[8880, 8879])).
% 14.39/9.59 tff(8882,plain,
% 14.39/9.59 ((~(v113(constB45) <=> (v114(constB45) | v125(constB45)))) | v113(constB45) | (~(v114(constB45) | v125(constB45)))),
% 14.39/9.59 inference(tautology,[status(thm)],[])).
% 14.39/9.59 tff(8883,plain,
% 14.39/9.59 (v113(constB45)),
% 14.39/9.59 inference(unit_resolution,[status(thm)],[8882, 8881, 2918])).
% 14.39/9.59 tff(8884,plain,
% 14.39/9.59 ((~![VarCurr: $i] : ((~v126(VarCurr)) <=> v111(VarCurr))) | ((~v126(constB45)) <=> v111(constB45))),
% 14.39/9.59 inference(quant_inst,[status(thm)],[])).
% 14.39/9.59 tff(8885,plain,
% 14.39/9.59 ((~v126(constB45)) <=> v111(constB45)),
% 14.39/9.59 inference(unit_resolution,[status(thm)],[8884, 5074])).
% 14.39/9.59 tff(8886,plain,
% 14.39/9.59 ((~![VarCurr: $i] : (v111(VarCurr) <=> v26(VarCurr))) | (v111(constB45) <=> v26(constB45))),
% 14.39/9.59 inference(quant_inst,[status(thm)],[])).
% 14.39/9.59 tff(8887,plain,
% 14.39/9.59 (v111(constB45) <=> v26(constB45)),
% 14.39/9.59 inference(unit_resolution,[status(thm)],[8886, 5086])).
% 14.39/9.59 tff(8888,plain,
% 14.39/9.59 ((~![VarCurr: $i] : (~v26(VarCurr))) | (~v26(constB45))),
% 14.39/9.59 inference(quant_inst,[status(thm)],[])).
% 14.39/9.59 tff(8889,plain,
% 14.39/9.59 (~v26(constB45)),
% 14.39/9.59 inference(unit_resolution,[status(thm)],[8888, 5098])).
% 14.39/9.59 tff(8890,plain,
% 14.39/9.59 ((~(v111(constB45) <=> v26(constB45))) | (~v111(constB45)) | v26(constB45)),
% 14.39/9.59 inference(tautology,[status(thm)],[])).
% 14.39/9.59 tff(8891,plain,
% 14.39/9.59 ((~(v111(constB45) <=> v26(constB45))) | (~v111(constB45))),
% 14.39/9.59 inference(unit_resolution,[status(thm)],[8890, 8889])).
% 14.39/9.59 tff(8892,plain,
% 14.39/9.59 (~v111(constB45)),
% 14.39/9.59 inference(unit_resolution,[status(thm)],[8891, 8887])).
% 14.39/9.59 tff(8893,plain,
% 14.39/9.59 ((~((~v126(constB45)) <=> v111(constB45))) | v126(constB45) | v111(constB45)),
% 14.39/9.59 inference(tautology,[status(thm)],[])).
% 14.39/9.59 tff(8894,plain,
% 14.39/9.59 ((~((~v126(constB45)) <=> v111(constB45))) | v126(constB45)),
% 14.39/9.59 inference(unit_resolution,[status(thm)],[8893, 8892])).
% 14.39/9.59 tff(8895,plain,
% 14.39/9.59 (v126(constB45)),
% 14.39/9.59 inference(unit_resolution,[status(thm)],[8894, 8885])).
% 14.39/9.59 tff(8896,plain,
% 14.39/9.59 ((~((~v113(constB45)) | (~v126(constB45)))) | (~v113(constB45)) | (~v126(constB45))),
% 14.39/9.59 inference(tautology,[status(thm)],[])).
% 14.39/9.59 tff(8897,plain,
% 14.39/9.59 ((~((~v113(constB45)) | (~v126(constB45)))) | (~v113(constB45))),
% 14.39/9.59 inference(unit_resolution,[status(thm)],[8896, 8895])).
% 14.39/9.59 tff(8898,plain,
% 14.39/9.59 (~((~v113(constB45)) | (~v126(constB45)))),
% 14.39/9.59 inference(unit_resolution,[status(thm)],[8897, 8883])).
% 14.39/9.59 tff(8899,plain,
% 14.39/9.59 ((~(v112(constB45) <=> (~((~v113(constB45)) | (~v126(constB45)))))) | v112(constB45) | ((~v113(constB45)) | (~v126(constB45)))),
% 14.39/9.59 inference(tautology,[status(thm)],[])).
% 14.39/9.59 tff(8900,plain,
% 14.39/9.59 (v112(constB45)),
% 14.39/9.59 inference(unit_resolution,[status(thm)],[8899, 8898, 2916])).
% 14.39/9.59 tff(8901,plain,
% 14.39/9.59 ((v111(constB45) | v112(constB45)) | (~v112(constB45))),
% 14.39/9.59 inference(tautology,[status(thm)],[])).
% 14.39/9.59 tff(8902,plain,
% 14.39/9.59 (v111(constB45) | v112(constB45)),
% 14.39/9.59 inference(unit_resolution,[status(thm)],[8901, 8900])).
% 14.39/9.59 tff(8903,plain,
% 14.39/9.59 ((~(v108(constB45) <=> (v111(constB45) | v112(constB45)))) | v108(constB45) | (~(v111(constB45) | v112(constB45)))),
% 14.39/9.59 inference(tautology,[status(thm)],[])).
% 14.39/9.59 tff(8904,plain,
% 14.39/9.59 (v108(constB45)),
% 14.39/9.59 inference(unit_resolution,[status(thm)],[8903, 8902, 2914])).
% 14.39/9.59 tff(8905,plain,
% 14.39/9.59 ((~(v110(constB46) <=> v108(constB45))) | v110(constB46) | (~v108(constB45))),
% 14.39/9.59 inference(tautology,[status(thm)],[])).
% 14.39/9.59 tff(8906,plain,
% 14.39/9.59 (v110(constB46)),
% 14.39/9.59 inference(unit_resolution,[status(thm)],[8905, 8904, 2912])).
% 14.39/9.59 tff(8907,plain,
% 14.39/9.59 ((~((~v101(constB46)) | (~v110(constB46)))) | (~v101(constB46)) | (~v110(constB46))),
% 14.39/9.59 inference(tautology,[status(thm)],[])).
% 14.39/9.60 tff(8908,plain,
% 14.39/9.60 (~((~v101(constB46)) | (~v110(constB46)))),
% 14.39/9.60 inference(unit_resolution,[status(thm)],[8907, 8906, 2908])).
% 14.39/9.60 tff(8909,plain,
% 14.39/9.60 ((~(v100(constB46) <=> (~((~v101(constB46)) | (~v110(constB46)))))) | v100(constB46) | ((~v101(constB46)) | (~v110(constB46)))),
% 14.39/9.60 inference(tautology,[status(thm)],[])).
% 14.39/9.60 tff(8910,plain,
% 14.39/9.60 (v100(constB46)),
% 14.39/9.60 inference(unit_resolution,[status(thm)],[8909, 8908, 2877])).
% 14.39/9.60 tff(8911,plain,
% 14.39/9.60 (((~![VarNext: $i] : ((~v100(VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v129(VarNext, B))))) | ((~v100(constB46)) | ![B: $i] : ((~less_3(B)) | (v90(constB46, B) <=> v129(constB46, B))))) <=> ((~![VarNext: $i] : ((~v100(VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v129(VarNext, B))))) | (~v100(constB46)) | ![B: $i] : ((~less_3(B)) | (v90(constB46, B) <=> v129(constB46, B))))),
% 14.39/9.60 inference(rewrite,[status(thm)],[])).
% 14.39/9.60 tff(8912,plain,
% 14.39/9.60 ((~![VarNext: $i] : ((~v100(VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v129(VarNext, B))))) | ((~v100(constB46)) | ![B: $i] : ((~less_3(B)) | (v90(constB46, B) <=> v129(constB46, B))))),
% 14.39/9.60 inference(quant_inst,[status(thm)],[])).
% 14.39/9.60 tff(8913,plain,
% 14.39/9.60 ((~![VarNext: $i] : ((~v100(VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v129(VarNext, B))))) | (~v100(constB46)) | ![B: $i] : ((~less_3(B)) | (v90(constB46, B) <=> v129(constB46, B)))),
% 14.39/9.60 inference(modus_ponens,[status(thm)],[8912, 8911])).
% 14.39/9.60 tff(8914,plain,
% 14.39/9.60 ((~v100(constB46)) | ![B: $i] : ((~less_3(B)) | (v90(constB46, B) <=> v129(constB46, B)))),
% 14.39/9.60 inference(unit_resolution,[status(thm)],[8913, 5134])).
% 14.39/9.60 tff(8915,plain,
% 14.39/9.60 (![B: $i] : ((~less_3(B)) | (v90(constB46, B) <=> v129(constB46, B)))),
% 14.39/9.60 inference(unit_resolution,[status(thm)],[8914, 8910])).
% 14.39/9.60 tff(8916,plain,
% 14.39/9.60 (((~![B: $i] : ((~less_3(B)) | (v90(constB46, B) <=> v129(constB46, B)))) | ((~less_3(bitIndex2)) | (v90(constB46, bitIndex2) <=> v129(constB46, bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v90(constB46, B) <=> v129(constB46, B)))) | (~less_3(bitIndex2)) | (v90(constB46, bitIndex2) <=> v129(constB46, bitIndex2)))),
% 14.39/9.60 inference(rewrite,[status(thm)],[])).
% 14.39/9.60 tff(8917,plain,
% 14.39/9.60 ((~![B: $i] : ((~less_3(B)) | (v90(constB46, B) <=> v129(constB46, B)))) | ((~less_3(bitIndex2)) | (v90(constB46, bitIndex2) <=> v129(constB46, bitIndex2)))),
% 14.39/9.60 inference(quant_inst,[status(thm)],[])).
% 14.39/9.60 tff(8918,plain,
% 14.39/9.60 ((~![B: $i] : ((~less_3(B)) | (v90(constB46, B) <=> v129(constB46, B)))) | (~less_3(bitIndex2)) | (v90(constB46, bitIndex2) <=> v129(constB46, bitIndex2))),
% 14.39/9.60 inference(modus_ponens,[status(thm)],[8917, 8916])).
% 14.39/9.60 tff(8919,plain,
% 14.39/9.60 (v90(constB46, bitIndex2) <=> v129(constB46, bitIndex2)),
% 14.39/9.60 inference(unit_resolution,[status(thm)],[8918, 413, 8915])).
% 14.39/9.60 tff(8920,plain,
% 14.39/9.60 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v129(VarNext, B) <=> v127(VarCurr, B))))) | ((~nextState(constB45, constB46)) | ![B: $i] : ((~less_3(B)) | (v129(constB46, B) <=> v127(constB45, B))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v129(VarNext, B) <=> v127(VarCurr, B))))) | (~nextState(constB45, constB46)) | ![B: $i] : ((~less_3(B)) | (v129(constB46, B) <=> v127(constB45, B))))),
% 14.39/9.60 inference(rewrite,[status(thm)],[])).
% 14.39/9.60 tff(8921,plain,
% 14.39/9.60 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v129(VarNext, B) <=> v127(VarCurr, B))))) | ((~nextState(constB45, constB46)) | ![B: $i] : ((~less_3(B)) | (v129(constB46, B) <=> v127(constB45, B))))),
% 14.39/9.60 inference(quant_inst,[status(thm)],[])).
% 14.39/9.60 tff(8922,plain,
% 14.39/9.60 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v129(VarNext, B) <=> v127(VarCurr, B))))) | (~nextState(constB45, constB46)) | ![B: $i] : ((~less_3(B)) | (v129(constB46, B) <=> v127(constB45, B)))),
% 14.39/9.60 inference(modus_ponens,[status(thm)],[8921, 8920])).
% 14.39/9.60 tff(8923,plain,
% 14.39/9.60 (![B: $i] : ((~less_3(B)) | (v129(constB46, B) <=> v127(constB45, B)))),
% 14.39/9.60 inference(unit_resolution,[status(thm)],[8922, 2873, 5156])).
% 14.39/9.60 tff(8924,plain,
% 14.39/9.60 (((~![B: $i] : ((~less_3(B)) | (v129(constB46, B) <=> v127(constB45, B)))) | ((~less_3(bitIndex2)) | (v129(constB46, bitIndex2) <=> v127(constB45, bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v129(constB46, B) <=> v127(constB45, B)))) | (~less_3(bitIndex2)) | (v129(constB46, bitIndex2) <=> v127(constB45, bitIndex2)))),
% 14.39/9.60 inference(rewrite,[status(thm)],[])).
% 14.39/9.60 tff(8925,plain,
% 14.39/9.60 ((~![B: $i] : ((~less_3(B)) | (v129(constB46, B) <=> v127(constB45, B)))) | ((~less_3(bitIndex2)) | (v129(constB46, bitIndex2) <=> v127(constB45, bitIndex2)))),
% 14.39/9.60 inference(quant_inst,[status(thm)],[])).
% 14.39/9.60 tff(8926,plain,
% 14.39/9.60 ((~![B: $i] : ((~less_3(B)) | (v129(constB46, B) <=> v127(constB45, B)))) | (~less_3(bitIndex2)) | (v129(constB46, bitIndex2) <=> v127(constB45, bitIndex2))),
% 14.39/9.60 inference(modus_ponens,[status(thm)],[8925, 8924])).
% 14.39/9.60 tff(8927,plain,
% 14.39/9.60 (v129(constB46, bitIndex2) <=> v127(constB45, bitIndex2)),
% 14.39/9.60 inference(unit_resolution,[status(thm)],[8926, 413, 8923])).
% 14.39/9.60 tff(8928,plain,
% 14.39/9.60 (((~![VarCurr: $i] : (v111(VarCurr) | ![B: $i] : ((~less_3(B)) | (v127(VarCurr, B) <=> v130(VarCurr, B))))) | (v111(constB45) | ![B: $i] : ((~less_3(B)) | (v127(constB45, B) <=> v130(constB45, B))))) <=> ((~![VarCurr: $i] : (v111(VarCurr) | ![B: $i] : ((~less_3(B)) | (v127(VarCurr, B) <=> v130(VarCurr, B))))) | v111(constB45) | ![B: $i] : ((~less_3(B)) | (v127(constB45, B) <=> v130(constB45, B))))),
% 14.39/9.60 inference(rewrite,[status(thm)],[])).
% 14.39/9.60 tff(8929,plain,
% 14.39/9.60 ((~![VarCurr: $i] : (v111(VarCurr) | ![B: $i] : ((~less_3(B)) | (v127(VarCurr, B) <=> v130(VarCurr, B))))) | (v111(constB45) | ![B: $i] : ((~less_3(B)) | (v127(constB45, B) <=> v130(constB45, B))))),
% 14.39/9.60 inference(quant_inst,[status(thm)],[])).
% 14.39/9.60 tff(8930,plain,
% 14.39/9.60 ((~![VarCurr: $i] : (v111(VarCurr) | ![B: $i] : ((~less_3(B)) | (v127(VarCurr, B) <=> v130(VarCurr, B))))) | v111(constB45) | ![B: $i] : ((~less_3(B)) | (v127(constB45, B) <=> v130(constB45, B)))),
% 14.39/9.60 inference(modus_ponens,[status(thm)],[8929, 8928])).
% 14.39/9.60 tff(8931,plain,
% 14.39/9.60 (![B: $i] : ((~less_3(B)) | (v127(constB45, B) <=> v130(constB45, B)))),
% 14.39/9.60 inference(unit_resolution,[status(thm)],[8930, 5177, 8892])).
% 14.39/9.60 tff(8932,plain,
% 14.39/9.60 (((~![B: $i] : ((~less_3(B)) | (v127(constB45, B) <=> v130(constB45, B)))) | ((~less_3(bitIndex2)) | (v127(constB45, bitIndex2) <=> v130(constB45, bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v127(constB45, B) <=> v130(constB45, B)))) | (~less_3(bitIndex2)) | (v127(constB45, bitIndex2) <=> v130(constB45, bitIndex2)))),
% 14.39/9.60 inference(rewrite,[status(thm)],[])).
% 14.39/9.60 tff(8933,plain,
% 14.39/9.60 ((~![B: $i] : ((~less_3(B)) | (v127(constB45, B) <=> v130(constB45, B)))) | ((~less_3(bitIndex2)) | (v127(constB45, bitIndex2) <=> v130(constB45, bitIndex2)))),
% 14.39/9.60 inference(quant_inst,[status(thm)],[])).
% 14.39/9.60 tff(8934,plain,
% 14.39/9.60 ((~![B: $i] : ((~less_3(B)) | (v127(constB45, B) <=> v130(constB45, B)))) | (~less_3(bitIndex2)) | (v127(constB45, bitIndex2) <=> v130(constB45, bitIndex2))),
% 14.39/9.60 inference(modus_ponens,[status(thm)],[8933, 8932])).
% 14.39/9.60 tff(8935,plain,
% 14.39/9.60 (v127(constB45, bitIndex2) <=> v130(constB45, bitIndex2)),
% 14.39/9.60 inference(unit_resolution,[status(thm)],[8934, 413, 8931])).
% 14.39/9.60 tff(8936,plain,
% 14.39/9.60 ((~![VarCurr: $i] : (v119(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))))) | (v119(constB45) <=> (~(v90(constB45, bitIndex0) | v90(constB45, bitIndex1) | v90(constB45, bitIndex2))))),
% 14.39/9.60 inference(quant_inst,[status(thm)],[])).
% 14.39/9.60 tff(8937,plain,
% 14.39/9.60 (v119(constB45) <=> (~(v90(constB45, bitIndex0) | v90(constB45, bitIndex1) | v90(constB45, bitIndex2)))),
% 14.39/9.60 inference(unit_resolution,[status(thm)],[8936, 4971])).
% 14.39/9.60 tff(8938,plain,
% 14.39/9.60 ((v90(constB45, bitIndex0) | v90(constB45, bitIndex1) | v90(constB45, bitIndex2)) | (~v90(constB45, bitIndex2))),
% 14.39/9.60 inference(tautology,[status(thm)],[])).
% 14.39/9.60 tff(8939,plain,
% 14.39/9.60 (v90(constB45, bitIndex0) | v90(constB45, bitIndex1) | v90(constB45, bitIndex2)),
% 14.39/9.60 inference(unit_resolution,[status(thm)],[8938, 8813])).
% 14.39/9.60 tff(8940,plain,
% 14.39/9.60 ((~(v119(constB45) <=> (~(v90(constB45, bitIndex0) | v90(constB45, bitIndex1) | v90(constB45, bitIndex2))))) | (~v119(constB45)) | (~(v90(constB45, bitIndex0) | v90(constB45, bitIndex1) | v90(constB45, bitIndex2)))),
% 14.39/9.60 inference(tautology,[status(thm)],[])).
% 14.39/9.60 tff(8941,plain,
% 14.39/9.60 (~v119(constB45)),
% 14.39/9.60 inference(unit_resolution,[status(thm)],[8940, 8939, 8937])).
% 14.39/9.60 tff(8942,plain,
% 14.39/9.60 (((~![VarCurr: $i] : (v124(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex2)))))) | (v124(constB45) <=> (~((~v90(constB45, bitIndex2)) | v90(constB45, bitIndex1) | (~v90(constB45, bitIndex0)))))) <=> ((~![VarCurr: $i] : (v124(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex2)))))) | (v124(constB45) <=> (~((~v90(constB45, bitIndex2)) | v90(constB45, bitIndex1) | (~v90(constB45, bitIndex0))))))),
% 14.39/9.60 inference(rewrite,[status(thm)],[])).
% 14.39/9.60 tff(8943,plain,
% 14.39/9.60 ((v124(constB45) <=> (~(v90(constB45, bitIndex1) | (~v90(constB45, bitIndex0)) | (~v90(constB45, bitIndex2))))) <=> (v124(constB45) <=> (~((~v90(constB45, bitIndex2)) | v90(constB45, bitIndex1) | (~v90(constB45, bitIndex0)))))),
% 14.39/9.60 inference(rewrite,[status(thm)],[])).
% 14.39/9.60 tff(8944,plain,
% 14.39/9.60 (((~![VarCurr: $i] : (v124(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex2)))))) | (v124(constB45) <=> (~(v90(constB45, bitIndex1) | (~v90(constB45, bitIndex0)) | (~v90(constB45, bitIndex2)))))) <=> ((~![VarCurr: $i] : (v124(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex2)))))) | (v124(constB45) <=> (~((~v90(constB45, bitIndex2)) | v90(constB45, bitIndex1) | (~v90(constB45, bitIndex0))))))),
% 14.39/9.60 inference(monotonicity,[status(thm)],[8943])).
% 14.39/9.60 tff(8945,plain,
% 14.39/9.60 (((~![VarCurr: $i] : (v124(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex2)))))) | (v124(constB45) <=> (~(v90(constB45, bitIndex1) | (~v90(constB45, bitIndex0)) | (~v90(constB45, bitIndex2)))))) <=> ((~![VarCurr: $i] : (v124(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex2)))))) | (v124(constB45) <=> (~((~v90(constB45, bitIndex2)) | v90(constB45, bitIndex1) | (~v90(constB45, bitIndex0))))))),
% 14.39/9.60 inference(transitivity,[status(thm)],[8944, 8942])).
% 14.39/9.60 tff(8946,plain,
% 14.39/9.60 ((~![VarCurr: $i] : (v124(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex2)))))) | (v124(constB45) <=> (~(v90(constB45, bitIndex1) | (~v90(constB45, bitIndex0)) | (~v90(constB45, bitIndex2)))))),
% 14.39/9.60 inference(quant_inst,[status(thm)],[])).
% 14.39/9.60 tff(8947,plain,
% 14.39/9.60 ((~![VarCurr: $i] : (v124(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex2)))))) | (v124(constB45) <=> (~((~v90(constB45, bitIndex2)) | v90(constB45, bitIndex1) | (~v90(constB45, bitIndex0)))))),
% 14.39/9.60 inference(modus_ponens,[status(thm)],[8946, 8945])).
% 14.39/9.60 tff(8948,plain,
% 14.39/9.60 (v124(constB45) <=> (~((~v90(constB45, bitIndex2)) | v90(constB45, bitIndex1) | (~v90(constB45, bitIndex0))))),
% 14.39/9.60 inference(unit_resolution,[status(thm)],[8947, 5539])).
% 14.39/9.60 tff(8949,plain,
% 14.39/9.60 (((~v90(constB45, bitIndex2)) | v90(constB45, bitIndex1) | (~v90(constB45, bitIndex0))) | (~v90(constB45, bitIndex1))),
% 14.39/9.60 inference(tautology,[status(thm)],[])).
% 14.39/9.60 tff(8950,plain,
% 14.39/9.60 ((~v90(constB45, bitIndex2)) | v90(constB45, bitIndex1) | (~v90(constB45, bitIndex0))),
% 14.39/9.60 inference(unit_resolution,[status(thm)],[8949, 8875])).
% 14.39/9.60 tff(8951,plain,
% 14.39/9.60 ((~(v124(constB45) <=> (~((~v90(constB45, bitIndex2)) | v90(constB45, bitIndex1) | (~v90(constB45, bitIndex0)))))) | (~v124(constB45)) | (~((~v90(constB45, bitIndex2)) | v90(constB45, bitIndex1) | (~v90(constB45, bitIndex0))))),
% 14.39/9.60 inference(tautology,[status(thm)],[])).
% 14.39/9.60 tff(8952,plain,
% 14.39/9.60 (~v124(constB45)),
% 14.39/9.60 inference(unit_resolution,[status(thm)],[8951, 8950, 8948])).
% 14.39/9.60 tff(8953,plain,
% 14.39/9.60 (((~![VarCurr: $i] : (v123(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)))))) | (v123(constB45) <=> (~((~v90(constB45, bitIndex2)) | v90(constB45, bitIndex1) | v90(constB45, bitIndex0))))) <=> ((~![VarCurr: $i] : (v123(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)))))) | (v123(constB45) <=> (~((~v90(constB45, bitIndex2)) | v90(constB45, bitIndex1) | v90(constB45, bitIndex0)))))),
% 14.39/9.60 inference(rewrite,[status(thm)],[])).
% 14.39/9.60 tff(8954,plain,
% 14.39/9.60 ((v123(constB45) <=> (~(v90(constB45, bitIndex0) | v90(constB45, bitIndex1) | (~v90(constB45, bitIndex2))))) <=> (v123(constB45) <=> (~((~v90(constB45, bitIndex2)) | v90(constB45, bitIndex1) | v90(constB45, bitIndex0))))),
% 14.39/9.60 inference(rewrite,[status(thm)],[])).
% 14.39/9.60 tff(8955,plain,
% 14.39/9.60 (((~![VarCurr: $i] : (v123(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)))))) | (v123(constB45) <=> (~(v90(constB45, bitIndex0) | v90(constB45, bitIndex1) | (~v90(constB45, bitIndex2)))))) <=> ((~![VarCurr: $i] : (v123(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)))))) | (v123(constB45) <=> (~((~v90(constB45, bitIndex2)) | v90(constB45, bitIndex1) | v90(constB45, bitIndex0)))))),
% 14.39/9.60 inference(monotonicity,[status(thm)],[8954])).
% 14.39/9.60 tff(8956,plain,
% 14.39/9.60 (((~![VarCurr: $i] : (v123(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)))))) | (v123(constB45) <=> (~(v90(constB45, bitIndex0) | v90(constB45, bitIndex1) | (~v90(constB45, bitIndex2)))))) <=> ((~![VarCurr: $i] : (v123(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)))))) | (v123(constB45) <=> (~((~v90(constB45, bitIndex2)) | v90(constB45, bitIndex1) | v90(constB45, bitIndex0)))))),
% 14.39/9.60 inference(transitivity,[status(thm)],[8955, 8953])).
% 14.39/9.60 tff(8957,plain,
% 14.39/9.60 ((~![VarCurr: $i] : (v123(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)))))) | (v123(constB45) <=> (~(v90(constB45, bitIndex0) | v90(constB45, bitIndex1) | (~v90(constB45, bitIndex2)))))),
% 14.39/9.60 inference(quant_inst,[status(thm)],[])).
% 14.39/9.60 tff(8958,plain,
% 14.39/9.60 ((~![VarCurr: $i] : (v123(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)))))) | (v123(constB45) <=> (~((~v90(constB45, bitIndex2)) | v90(constB45, bitIndex1) | v90(constB45, bitIndex0))))),
% 14.39/9.60 inference(modus_ponens,[status(thm)],[8957, 8956])).
% 14.39/9.60 tff(8959,plain,
% 14.39/9.60 (v123(constB45) <=> (~((~v90(constB45, bitIndex2)) | v90(constB45, bitIndex1) | v90(constB45, bitIndex0)))),
% 14.39/9.60 inference(unit_resolution,[status(thm)],[8958, 621])).
% 14.39/9.60 tff(8960,plain,
% 14.39/9.60 (((~v90(constB45, bitIndex2)) | v90(constB45, bitIndex1) | v90(constB45, bitIndex0)) | (~v90(constB45, bitIndex1))),
% 14.39/9.60 inference(tautology,[status(thm)],[])).
% 14.39/9.60 tff(8961,plain,
% 14.39/9.60 ((~v90(constB45, bitIndex2)) | v90(constB45, bitIndex1) | v90(constB45, bitIndex0)),
% 14.39/9.60 inference(unit_resolution,[status(thm)],[8960, 8875])).
% 14.39/9.60 tff(8962,plain,
% 14.39/9.60 ((~(v123(constB45) <=> (~((~v90(constB45, bitIndex2)) | v90(constB45, bitIndex1) | v90(constB45, bitIndex0))))) | (~v123(constB45)) | (~((~v90(constB45, bitIndex2)) | v90(constB45, bitIndex1) | v90(constB45, bitIndex0)))),
% 14.39/9.60 inference(tautology,[status(thm)],[])).
% 14.39/9.60 tff(8963,plain,
% 14.39/9.60 (~v123(constB45)),
% 14.39/9.60 inference(unit_resolution,[status(thm)],[8962, 8961, 8959])).
% 14.39/9.60 tff(8964,plain,
% 14.39/9.60 (((~![VarCurr: $i] : (v122(VarCurr) <=> (~(v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)))))) | (v122(constB45) <=> (~(v90(constB45, bitIndex2) | (~v90(constB45, bitIndex1)) | (~v90(constB45, bitIndex0)))))) <=> ((~![VarCurr: $i] : (v122(VarCurr) <=> (~(v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)))))) | (v122(constB45) <=> (~(v90(constB45, bitIndex2) | (~v90(constB45, bitIndex1)) | (~v90(constB45, bitIndex0))))))),
% 14.39/9.60 inference(rewrite,[status(thm)],[])).
% 14.39/9.60 tff(8965,plain,
% 14.39/9.60 ((v122(constB45) <=> (~(v90(constB45, bitIndex2) | (~v90(constB45, bitIndex0)) | (~v90(constB45, bitIndex1))))) <=> (v122(constB45) <=> (~(v90(constB45, bitIndex2) | (~v90(constB45, bitIndex1)) | (~v90(constB45, bitIndex0)))))),
% 14.39/9.60 inference(rewrite,[status(thm)],[])).
% 14.39/9.60 tff(8966,plain,
% 14.39/9.60 (((~![VarCurr: $i] : (v122(VarCurr) <=> (~(v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)))))) | (v122(constB45) <=> (~(v90(constB45, bitIndex2) | (~v90(constB45, bitIndex0)) | (~v90(constB45, bitIndex1)))))) <=> ((~![VarCurr: $i] : (v122(VarCurr) <=> (~(v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)))))) | (v122(constB45) <=> (~(v90(constB45, bitIndex2) | (~v90(constB45, bitIndex1)) | (~v90(constB45, bitIndex0))))))),
% 14.39/9.60 inference(monotonicity,[status(thm)],[8965])).
% 14.39/9.60 tff(8967,plain,
% 14.39/9.60 (((~![VarCurr: $i] : (v122(VarCurr) <=> (~(v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)))))) | (v122(constB45) <=> (~(v90(constB45, bitIndex2) | (~v90(constB45, bitIndex0)) | (~v90(constB45, bitIndex1)))))) <=> ((~![VarCurr: $i] : (v122(VarCurr) <=> (~(v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)))))) | (v122(constB45) <=> (~(v90(constB45, bitIndex2) | (~v90(constB45, bitIndex1)) | (~v90(constB45, bitIndex0))))))),
% 14.39/9.60 inference(transitivity,[status(thm)],[8966, 8964])).
% 14.39/9.60 tff(8968,plain,
% 14.39/9.60 ((~![VarCurr: $i] : (v122(VarCurr) <=> (~(v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)))))) | (v122(constB45) <=> (~(v90(constB45, bitIndex2) | (~v90(constB45, bitIndex0)) | (~v90(constB45, bitIndex1)))))),
% 14.39/9.60 inference(quant_inst,[status(thm)],[])).
% 14.39/9.60 tff(8969,plain,
% 14.39/9.60 ((~![VarCurr: $i] : (v122(VarCurr) <=> (~(v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)))))) | (v122(constB45) <=> (~(v90(constB45, bitIndex2) | (~v90(constB45, bitIndex1)) | (~v90(constB45, bitIndex0)))))),
% 14.39/9.60 inference(modus_ponens,[status(thm)],[8968, 8967])).
% 14.39/9.60 tff(8970,plain,
% 14.39/9.60 (v122(constB45) <=> (~(v90(constB45, bitIndex2) | (~v90(constB45, bitIndex1)) | (~v90(constB45, bitIndex0))))),
% 14.39/9.60 inference(unit_resolution,[status(thm)],[8969, 734])).
% 14.39/9.60 tff(8971,plain,
% 14.39/9.60 ((v90(constB45, bitIndex2) | (~v90(constB45, bitIndex1)) | (~v90(constB45, bitIndex0))) | (~v90(constB45, bitIndex2))),
% 14.39/9.60 inference(tautology,[status(thm)],[])).
% 14.39/9.60 tff(8972,plain,
% 14.39/9.60 (v90(constB45, bitIndex2) | (~v90(constB45, bitIndex1)) | (~v90(constB45, bitIndex0))),
% 14.39/9.60 inference(unit_resolution,[status(thm)],[8971, 8813])).
% 14.39/9.60 tff(8973,plain,
% 14.39/9.60 ((~(v122(constB45) <=> (~(v90(constB45, bitIndex2) | (~v90(constB45, bitIndex1)) | (~v90(constB45, bitIndex0)))))) | (~v122(constB45)) | (~(v90(constB45, bitIndex2) | (~v90(constB45, bitIndex1)) | (~v90(constB45, bitIndex0))))),
% 14.39/9.60 inference(tautology,[status(thm)],[])).
% 14.39/9.60 tff(8974,plain,
% 14.39/9.60 (~v122(constB45)),
% 14.39/9.60 inference(unit_resolution,[status(thm)],[8973, 8972, 8970])).
% 14.39/9.60 tff(8975,plain,
% 14.39/9.60 (((~![VarCurr: $i] : (v121(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex1)))))) | (v121(constB45) <=> (~(v90(constB45, bitIndex2) | (~v90(constB45, bitIndex1)) | v90(constB45, bitIndex0))))) <=> ((~![VarCurr: $i] : (v121(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex1)))))) | (v121(constB45) <=> (~(v90(constB45, bitIndex2) | (~v90(constB45, bitIndex1)) | v90(constB45, bitIndex0)))))),
% 14.39/9.60 inference(rewrite,[status(thm)],[])).
% 14.39/9.60 tff(8976,plain,
% 14.39/9.60 ((v121(constB45) <=> (~(v90(constB45, bitIndex0) | v90(constB45, bitIndex2) | (~v90(constB45, bitIndex1))))) <=> (v121(constB45) <=> (~(v90(constB45, bitIndex2) | (~v90(constB45, bitIndex1)) | v90(constB45, bitIndex0))))),
% 14.39/9.60 inference(rewrite,[status(thm)],[])).
% 14.39/9.60 tff(8977,plain,
% 14.39/9.60 (((~![VarCurr: $i] : (v121(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex1)))))) | (v121(constB45) <=> (~(v90(constB45, bitIndex0) | v90(constB45, bitIndex2) | (~v90(constB45, bitIndex1)))))) <=> ((~![VarCurr: $i] : (v121(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex1)))))) | (v121(constB45) <=> (~(v90(constB45, bitIndex2) | (~v90(constB45, bitIndex1)) | v90(constB45, bitIndex0)))))),
% 14.39/9.60 inference(monotonicity,[status(thm)],[8976])).
% 14.39/9.60 tff(8978,plain,
% 14.39/9.60 (((~![VarCurr: $i] : (v121(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex1)))))) | (v121(constB45) <=> (~(v90(constB45, bitIndex0) | v90(constB45, bitIndex2) | (~v90(constB45, bitIndex1)))))) <=> ((~![VarCurr: $i] : (v121(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex1)))))) | (v121(constB45) <=> (~(v90(constB45, bitIndex2) | (~v90(constB45, bitIndex1)) | v90(constB45, bitIndex0)))))),
% 14.39/9.60 inference(transitivity,[status(thm)],[8977, 8975])).
% 14.39/9.60 tff(8979,plain,
% 14.39/9.60 ((~![VarCurr: $i] : (v121(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex1)))))) | (v121(constB45) <=> (~(v90(constB45, bitIndex0) | v90(constB45, bitIndex2) | (~v90(constB45, bitIndex1)))))),
% 14.39/9.60 inference(quant_inst,[status(thm)],[])).
% 14.39/9.60 tff(8980,plain,
% 14.39/9.60 ((~![VarCurr: $i] : (v121(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex1)))))) | (v121(constB45) <=> (~(v90(constB45, bitIndex2) | (~v90(constB45, bitIndex1)) | v90(constB45, bitIndex0))))),
% 14.39/9.60 inference(modus_ponens,[status(thm)],[8979, 8978])).
% 14.39/9.60 tff(8981,plain,
% 14.39/9.60 (v121(constB45) <=> (~(v90(constB45, bitIndex2) | (~v90(constB45, bitIndex1)) | v90(constB45, bitIndex0)))),
% 14.39/9.60 inference(unit_resolution,[status(thm)],[8980, 849])).
% 14.39/9.60 tff(8982,plain,
% 14.39/9.60 ((v90(constB45, bitIndex2) | (~v90(constB45, bitIndex1)) | v90(constB45, bitIndex0)) | (~v90(constB45, bitIndex2))),
% 14.39/9.60 inference(tautology,[status(thm)],[])).
% 14.39/9.60 tff(8983,plain,
% 14.39/9.60 (v90(constB45, bitIndex2) | (~v90(constB45, bitIndex1)) | v90(constB45, bitIndex0)),
% 14.39/9.60 inference(unit_resolution,[status(thm)],[8982, 8813])).
% 14.39/9.60 tff(8984,plain,
% 14.39/9.60 ((~(v121(constB45) <=> (~(v90(constB45, bitIndex2) | (~v90(constB45, bitIndex1)) | v90(constB45, bitIndex0))))) | (~v121(constB45)) | (~(v90(constB45, bitIndex2) | (~v90(constB45, bitIndex1)) | v90(constB45, bitIndex0)))),
% 14.39/9.60 inference(tautology,[status(thm)],[])).
% 14.39/9.60 tff(8985,plain,
% 14.39/9.60 (~v121(constB45)),
% 14.39/9.60 inference(unit_resolution,[status(thm)],[8984, 8983, 8981])).
% 14.39/9.60 tff(8986,plain,
% 14.39/9.60 (((~![VarCurr: $i] : (v120(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)))))) | (v120(constB45) <=> (~(v90(constB45, bitIndex2) | v90(constB45, bitIndex1) | (~v90(constB45, bitIndex0)))))) <=> ((~![VarCurr: $i] : (v120(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)))))) | (v120(constB45) <=> (~(v90(constB45, bitIndex2) | v90(constB45, bitIndex1) | (~v90(constB45, bitIndex0))))))),
% 14.39/9.60 inference(rewrite,[status(thm)],[])).
% 14.39/9.60 tff(8987,plain,
% 14.39/9.60 ((v120(constB45) <=> (~(v90(constB45, bitIndex1) | v90(constB45, bitIndex2) | (~v90(constB45, bitIndex0))))) <=> (v120(constB45) <=> (~(v90(constB45, bitIndex2) | v90(constB45, bitIndex1) | (~v90(constB45, bitIndex0)))))),
% 14.39/9.60 inference(rewrite,[status(thm)],[])).
% 14.39/9.60 tff(8988,plain,
% 14.39/9.60 (((~![VarCurr: $i] : (v120(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)))))) | (v120(constB45) <=> (~(v90(constB45, bitIndex1) | v90(constB45, bitIndex2) | (~v90(constB45, bitIndex0)))))) <=> ((~![VarCurr: $i] : (v120(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)))))) | (v120(constB45) <=> (~(v90(constB45, bitIndex2) | v90(constB45, bitIndex1) | (~v90(constB45, bitIndex0))))))),
% 14.39/9.60 inference(monotonicity,[status(thm)],[8987])).
% 14.39/9.60 tff(8989,plain,
% 14.39/9.60 (((~![VarCurr: $i] : (v120(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)))))) | (v120(constB45) <=> (~(v90(constB45, bitIndex1) | v90(constB45, bitIndex2) | (~v90(constB45, bitIndex0)))))) <=> ((~![VarCurr: $i] : (v120(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)))))) | (v120(constB45) <=> (~(v90(constB45, bitIndex2) | v90(constB45, bitIndex1) | (~v90(constB45, bitIndex0))))))),
% 14.39/9.60 inference(transitivity,[status(thm)],[8988, 8986])).
% 14.39/9.60 tff(8990,plain,
% 14.39/9.60 ((~![VarCurr: $i] : (v120(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)))))) | (v120(constB45) <=> (~(v90(constB45, bitIndex1) | v90(constB45, bitIndex2) | (~v90(constB45, bitIndex0)))))),
% 14.39/9.61 inference(quant_inst,[status(thm)],[])).
% 14.39/9.61 tff(8991,plain,
% 14.39/9.61 ((~![VarCurr: $i] : (v120(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)))))) | (v120(constB45) <=> (~(v90(constB45, bitIndex2) | v90(constB45, bitIndex1) | (~v90(constB45, bitIndex0)))))),
% 14.39/9.61 inference(modus_ponens,[status(thm)],[8990, 8989])).
% 14.39/9.61 tff(8992,plain,
% 14.39/9.61 (v120(constB45) <=> (~(v90(constB45, bitIndex2) | v90(constB45, bitIndex1) | (~v90(constB45, bitIndex0))))),
% 14.39/9.61 inference(unit_resolution,[status(thm)],[8991, 966])).
% 14.39/9.61 tff(8993,plain,
% 14.39/9.61 ((v90(constB45, bitIndex2) | v90(constB45, bitIndex1) | (~v90(constB45, bitIndex0))) | (~v90(constB45, bitIndex2))),
% 14.39/9.61 inference(tautology,[status(thm)],[])).
% 14.39/9.61 tff(8994,plain,
% 14.39/9.61 (v90(constB45, bitIndex2) | v90(constB45, bitIndex1) | (~v90(constB45, bitIndex0))),
% 14.39/9.61 inference(unit_resolution,[status(thm)],[8993, 8813])).
% 14.39/9.61 tff(8995,plain,
% 14.39/9.61 ((~(v120(constB45) <=> (~(v90(constB45, bitIndex2) | v90(constB45, bitIndex1) | (~v90(constB45, bitIndex0)))))) | (~v120(constB45)) | (~(v90(constB45, bitIndex2) | v90(constB45, bitIndex1) | (~v90(constB45, bitIndex0))))),
% 14.39/9.61 inference(tautology,[status(thm)],[])).
% 14.39/9.61 tff(8996,plain,
% 14.39/9.61 (~v120(constB45)),
% 14.39/9.61 inference(unit_resolution,[status(thm)],[8995, 8994, 8992])).
% 14.39/9.61 tff(8997,plain,
% 14.39/9.61 (((~![VarCurr: $i] : (v124(VarCurr) | v123(VarCurr) | v122(VarCurr) | v121(VarCurr) | v120(VarCurr) | v119(VarCurr) | ![B: $i] : ((~less_3(B)) | (v130(VarCurr, B) <=> b001(B))))) | (v119(constB45) | v120(constB45) | v121(constB45) | v122(constB45) | v123(constB45) | v124(constB45) | ![B: $i] : ((~less_3(B)) | (v130(constB45, B) <=> b001(B))))) <=> ((~![VarCurr: $i] : (v124(VarCurr) | v123(VarCurr) | v122(VarCurr) | v121(VarCurr) | v120(VarCurr) | v119(VarCurr) | ![B: $i] : ((~less_3(B)) | (v130(VarCurr, B) <=> b001(B))))) | v119(constB45) | v120(constB45) | v121(constB45) | v122(constB45) | v123(constB45) | v124(constB45) | ![B: $i] : ((~less_3(B)) | (v130(constB45, B) <=> b001(B))))),
% 14.39/9.61 inference(rewrite,[status(thm)],[])).
% 14.39/9.61 tff(8998,plain,
% 14.39/9.61 ((v124(constB45) | v123(constB45) | v122(constB45) | v121(constB45) | v120(constB45) | v119(constB45) | ![B: $i] : ((~less_3(B)) | (v130(constB45, B) <=> b001(B)))) <=> (v119(constB45) | v120(constB45) | v121(constB45) | v122(constB45) | v123(constB45) | v124(constB45) | ![B: $i] : ((~less_3(B)) | (v130(constB45, B) <=> b001(B))))),
% 14.39/9.61 inference(rewrite,[status(thm)],[])).
% 14.39/9.61 tff(8999,plain,
% 14.39/9.61 (((~![VarCurr: $i] : (v124(VarCurr) | v123(VarCurr) | v122(VarCurr) | v121(VarCurr) | v120(VarCurr) | v119(VarCurr) | ![B: $i] : ((~less_3(B)) | (v130(VarCurr, B) <=> b001(B))))) | (v124(constB45) | v123(constB45) | v122(constB45) | v121(constB45) | v120(constB45) | v119(constB45) | ![B: $i] : ((~less_3(B)) | (v130(constB45, B) <=> b001(B))))) <=> ((~![VarCurr: $i] : (v124(VarCurr) | v123(VarCurr) | v122(VarCurr) | v121(VarCurr) | v120(VarCurr) | v119(VarCurr) | ![B: $i] : ((~less_3(B)) | (v130(VarCurr, B) <=> b001(B))))) | (v119(constB45) | v120(constB45) | v121(constB45) | v122(constB45) | v123(constB45) | v124(constB45) | ![B: $i] : ((~less_3(B)) | (v130(constB45, B) <=> b001(B)))))),
% 14.39/9.61 inference(monotonicity,[status(thm)],[8998])).
% 14.39/9.61 tff(9000,plain,
% 14.39/9.61 (((~![VarCurr: $i] : (v124(VarCurr) | v123(VarCurr) | v122(VarCurr) | v121(VarCurr) | v120(VarCurr) | v119(VarCurr) | ![B: $i] : ((~less_3(B)) | (v130(VarCurr, B) <=> b001(B))))) | (v124(constB45) | v123(constB45) | v122(constB45) | v121(constB45) | v120(constB45) | v119(constB45) | ![B: $i] : ((~less_3(B)) | (v130(constB45, B) <=> b001(B))))) <=> ((~![VarCurr: $i] : (v124(VarCurr) | v123(VarCurr) | v122(VarCurr) | v121(VarCurr) | v120(VarCurr) | v119(VarCurr) | ![B: $i] : ((~less_3(B)) | (v130(VarCurr, B) <=> b001(B))))) | v119(constB45) | v120(constB45) | v121(constB45) | v122(constB45) | v123(constB45) | v124(constB45) | ![B: $i] : ((~less_3(B)) | (v130(constB45, B) <=> b001(B))))),
% 14.39/9.61 inference(transitivity,[status(thm)],[8999, 8997])).
% 14.39/9.61 tff(9001,plain,
% 14.39/9.61 ((~![VarCurr: $i] : (v124(VarCurr) | v123(VarCurr) | v122(VarCurr) | v121(VarCurr) | v120(VarCurr) | v119(VarCurr) | ![B: $i] : ((~less_3(B)) | (v130(VarCurr, B) <=> b001(B))))) | (v124(constB45) | v123(constB45) | v122(constB45) | v121(constB45) | v120(constB45) | v119(constB45) | ![B: $i] : ((~less_3(B)) | (v130(constB45, B) <=> b001(B))))),
% 14.39/9.61 inference(quant_inst,[status(thm)],[])).
% 14.39/9.61 tff(9002,plain,
% 14.39/9.61 ((~![VarCurr: $i] : (v124(VarCurr) | v123(VarCurr) | v122(VarCurr) | v121(VarCurr) | v120(VarCurr) | v119(VarCurr) | ![B: $i] : ((~less_3(B)) | (v130(VarCurr, B) <=> b001(B))))) | v119(constB45) | v120(constB45) | v121(constB45) | v122(constB45) | v123(constB45) | v124(constB45) | ![B: $i] : ((~less_3(B)) | (v130(constB45, B) <=> b001(B)))),
% 14.39/9.61 inference(modus_ponens,[status(thm)],[9001, 9000])).
% 14.39/9.61 tff(9003,plain,
% 14.39/9.61 (v119(constB45) | v120(constB45) | v121(constB45) | v122(constB45) | v123(constB45) | v124(constB45) | ![B: $i] : ((~less_3(B)) | (v130(constB45, B) <=> b001(B)))),
% 14.39/9.61 inference(unit_resolution,[status(thm)],[9002, 5610])).
% 14.39/9.61 tff(9004,plain,
% 14.39/9.61 (![B: $i] : ((~less_3(B)) | (v130(constB45, B) <=> b001(B)))),
% 14.39/9.61 inference(unit_resolution,[status(thm)],[9003, 8996, 8985, 8974, 8963, 8952, 8941])).
% 14.39/9.61 tff(9005,plain,
% 14.39/9.61 (((~![B: $i] : ((~less_3(B)) | (v130(constB45, B) <=> b001(B)))) | ((~less_3(bitIndex2)) | (v130(constB45, bitIndex2) <=> b001(bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v130(constB45, B) <=> b001(B)))) | (~less_3(bitIndex2)) | (v130(constB45, bitIndex2) <=> b001(bitIndex2)))),
% 14.39/9.61 inference(rewrite,[status(thm)],[])).
% 14.39/9.61 tff(9006,plain,
% 14.39/9.61 ((~![B: $i] : ((~less_3(B)) | (v130(constB45, B) <=> b001(B)))) | ((~less_3(bitIndex2)) | (v130(constB45, bitIndex2) <=> b001(bitIndex2)))),
% 14.39/9.61 inference(quant_inst,[status(thm)],[])).
% 14.39/9.61 tff(9007,plain,
% 14.39/9.61 ((~![B: $i] : ((~less_3(B)) | (v130(constB45, B) <=> b001(B)))) | (~less_3(bitIndex2)) | (v130(constB45, bitIndex2) <=> b001(bitIndex2))),
% 14.39/9.61 inference(modus_ponens,[status(thm)],[9006, 9005])).
% 14.39/9.61 tff(9008,plain,
% 14.39/9.61 (v130(constB45, bitIndex2) <=> b001(bitIndex2)),
% 14.39/9.61 inference(unit_resolution,[status(thm)],[9007, 413, 9004])).
% 14.39/9.61 tff(9009,plain,
% 14.39/9.61 ((~(v130(constB45, bitIndex2) <=> b001(bitIndex2))) | (~v130(constB45, bitIndex2)) | b001(bitIndex2)),
% 14.39/9.61 inference(tautology,[status(thm)],[])).
% 14.39/9.61 tff(9010,plain,
% 14.39/9.61 ((~(v130(constB45, bitIndex2) <=> b001(bitIndex2))) | (~v130(constB45, bitIndex2))),
% 14.39/9.61 inference(unit_resolution,[status(thm)],[9009, 5625])).
% 14.39/9.61 tff(9011,plain,
% 14.39/9.61 (~v130(constB45, bitIndex2)),
% 14.39/9.61 inference(unit_resolution,[status(thm)],[9010, 9008])).
% 14.39/9.61 tff(9012,plain,
% 14.39/9.61 ((~(v127(constB45, bitIndex2) <=> v130(constB45, bitIndex2))) | (~v127(constB45, bitIndex2)) | v130(constB45, bitIndex2)),
% 14.39/9.61 inference(tautology,[status(thm)],[])).
% 14.39/9.61 tff(9013,plain,
% 14.39/9.61 (~v127(constB45, bitIndex2)),
% 14.39/9.61 inference(unit_resolution,[status(thm)],[9012, 9011, 8935])).
% 14.39/9.61 tff(9014,plain,
% 14.39/9.61 ((~(v129(constB46, bitIndex2) <=> v127(constB45, bitIndex2))) | (~v129(constB46, bitIndex2)) | v127(constB45, bitIndex2)),
% 14.39/9.61 inference(tautology,[status(thm)],[])).
% 14.39/9.61 tff(9015,plain,
% 14.39/9.61 (~v129(constB46, bitIndex2)),
% 14.39/9.61 inference(unit_resolution,[status(thm)],[9014, 9013, 8927])).
% 14.39/9.61 tff(9016,plain,
% 14.39/9.61 ((~(v90(constB46, bitIndex2) <=> v129(constB46, bitIndex2))) | (~v90(constB46, bitIndex2)) | v129(constB46, bitIndex2)),
% 14.39/9.61 inference(tautology,[status(thm)],[])).
% 14.39/9.61 tff(9017,plain,
% 14.39/9.61 (~v90(constB46, bitIndex2)),
% 14.39/9.61 inference(unit_resolution,[status(thm)],[9016, 9015, 8919])).
% 14.39/9.61 tff(9018,plain,
% 14.39/9.61 ((~(v90(constB47, bitIndex2) <=> v90(constB46, bitIndex2))) | (~v90(constB47, bitIndex2)) | v90(constB46, bitIndex2)),
% 14.39/9.61 inference(tautology,[status(thm)],[])).
% 14.39/9.61 tff(9019,plain,
% 14.39/9.61 (~v90(constB47, bitIndex2)),
% 14.39/9.61 inference(unit_resolution,[status(thm)],[9018, 9017, 2870])).
% 14.39/9.61 tff(9020,plain,
% 14.39/9.61 (((~![B: $i] : ((~less_3(B)) | (v90(constB47, B) <=> v90(constB46, B)))) | ((~less_3(bitIndex0)) | (v90(constB47, bitIndex0) <=> v90(constB46, bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v90(constB47, B) <=> v90(constB46, B)))) | (~less_3(bitIndex0)) | (v90(constB47, bitIndex0) <=> v90(constB46, bitIndex0)))),
% 14.39/9.61 inference(rewrite,[status(thm)],[])).
% 14.39/9.61 tff(9021,plain,
% 14.39/9.61 ((~![B: $i] : ((~less_3(B)) | (v90(constB47, B) <=> v90(constB46, B)))) | ((~less_3(bitIndex0)) | (v90(constB47, bitIndex0) <=> v90(constB46, bitIndex0)))),
% 14.39/9.61 inference(quant_inst,[status(thm)],[])).
% 14.39/9.61 tff(9022,plain,
% 14.39/9.61 ((~![B: $i] : ((~less_3(B)) | (v90(constB47, B) <=> v90(constB46, B)))) | (~less_3(bitIndex0)) | (v90(constB47, bitIndex0) <=> v90(constB46, bitIndex0))),
% 14.39/9.61 inference(modus_ponens,[status(thm)],[9021, 9020])).
% 14.39/9.61 tff(9023,plain,
% 14.39/9.61 (v90(constB47, bitIndex0) <=> v90(constB46, bitIndex0)),
% 14.39/9.61 inference(unit_resolution,[status(thm)],[9022, 5004, 2866])).
% 14.39/9.61 tff(9024,plain,
% 14.39/9.61 (((~![B: $i] : ((~less_3(B)) | (v90(constB46, B) <=> v129(constB46, B)))) | ((~less_3(bitIndex0)) | (v90(constB46, bitIndex0) <=> v129(constB46, bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v90(constB46, B) <=> v129(constB46, B)))) | (~less_3(bitIndex0)) | (v90(constB46, bitIndex0) <=> v129(constB46, bitIndex0)))),
% 14.39/9.61 inference(rewrite,[status(thm)],[])).
% 14.39/9.61 tff(9025,plain,
% 14.39/9.61 ((~![B: $i] : ((~less_3(B)) | (v90(constB46, B) <=> v129(constB46, B)))) | ((~less_3(bitIndex0)) | (v90(constB46, bitIndex0) <=> v129(constB46, bitIndex0)))),
% 14.39/9.61 inference(quant_inst,[status(thm)],[])).
% 14.39/9.61 tff(9026,plain,
% 14.39/9.61 ((~![B: $i] : ((~less_3(B)) | (v90(constB46, B) <=> v129(constB46, B)))) | (~less_3(bitIndex0)) | (v90(constB46, bitIndex0) <=> v129(constB46, bitIndex0))),
% 14.39/9.61 inference(modus_ponens,[status(thm)],[9025, 9024])).
% 14.39/9.61 tff(9027,plain,
% 14.39/9.61 (v90(constB46, bitIndex0) <=> v129(constB46, bitIndex0)),
% 14.39/9.61 inference(unit_resolution,[status(thm)],[9026, 5004, 8915])).
% 14.39/9.61 tff(9028,plain,
% 14.39/9.61 (((~![B: $i] : ((~less_3(B)) | (v129(constB46, B) <=> v127(constB45, B)))) | ((~less_3(bitIndex0)) | (v129(constB46, bitIndex0) <=> v127(constB45, bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v129(constB46, B) <=> v127(constB45, B)))) | (~less_3(bitIndex0)) | (v129(constB46, bitIndex0) <=> v127(constB45, bitIndex0)))),
% 14.39/9.61 inference(rewrite,[status(thm)],[])).
% 14.39/9.61 tff(9029,plain,
% 14.39/9.61 ((~![B: $i] : ((~less_3(B)) | (v129(constB46, B) <=> v127(constB45, B)))) | ((~less_3(bitIndex0)) | (v129(constB46, bitIndex0) <=> v127(constB45, bitIndex0)))),
% 14.39/9.61 inference(quant_inst,[status(thm)],[])).
% 14.39/9.61 tff(9030,plain,
% 14.39/9.61 ((~![B: $i] : ((~less_3(B)) | (v129(constB46, B) <=> v127(constB45, B)))) | (~less_3(bitIndex0)) | (v129(constB46, bitIndex0) <=> v127(constB45, bitIndex0))),
% 14.39/9.61 inference(modus_ponens,[status(thm)],[9029, 9028])).
% 14.39/9.61 tff(9031,plain,
% 14.39/9.61 (v129(constB46, bitIndex0) <=> v127(constB45, bitIndex0)),
% 14.39/9.61 inference(unit_resolution,[status(thm)],[9030, 5004, 8923])).
% 14.39/9.61 tff(9032,plain,
% 14.39/9.61 (((~![B: $i] : ((~less_3(B)) | (v127(constB45, B) <=> v130(constB45, B)))) | ((~less_3(bitIndex0)) | (v127(constB45, bitIndex0) <=> v130(constB45, bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v127(constB45, B) <=> v130(constB45, B)))) | (~less_3(bitIndex0)) | (v127(constB45, bitIndex0) <=> v130(constB45, bitIndex0)))),
% 14.39/9.61 inference(rewrite,[status(thm)],[])).
% 14.39/9.61 tff(9033,plain,
% 14.39/9.61 ((~![B: $i] : ((~less_3(B)) | (v127(constB45, B) <=> v130(constB45, B)))) | ((~less_3(bitIndex0)) | (v127(constB45, bitIndex0) <=> v130(constB45, bitIndex0)))),
% 14.39/9.61 inference(quant_inst,[status(thm)],[])).
% 14.39/9.61 tff(9034,plain,
% 14.39/9.61 ((~![B: $i] : ((~less_3(B)) | (v127(constB45, B) <=> v130(constB45, B)))) | (~less_3(bitIndex0)) | (v127(constB45, bitIndex0) <=> v130(constB45, bitIndex0))),
% 14.39/9.61 inference(modus_ponens,[status(thm)],[9033, 9032])).
% 14.39/9.61 tff(9035,plain,
% 14.39/9.61 (v127(constB45, bitIndex0) <=> v130(constB45, bitIndex0)),
% 14.39/9.61 inference(unit_resolution,[status(thm)],[9034, 5004, 8931])).
% 14.39/9.61 tff(9036,plain,
% 14.39/9.61 (((~![B: $i] : ((~less_3(B)) | (v130(constB45, B) <=> b001(B)))) | ((~less_3(bitIndex0)) | (v130(constB45, bitIndex0) <=> b001(bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v130(constB45, B) <=> b001(B)))) | (~less_3(bitIndex0)) | (v130(constB45, bitIndex0) <=> b001(bitIndex0)))),
% 14.39/9.61 inference(rewrite,[status(thm)],[])).
% 14.39/9.61 tff(9037,plain,
% 14.39/9.61 ((~![B: $i] : ((~less_3(B)) | (v130(constB45, B) <=> b001(B)))) | ((~less_3(bitIndex0)) | (v130(constB45, bitIndex0) <=> b001(bitIndex0)))),
% 14.39/9.61 inference(quant_inst,[status(thm)],[])).
% 14.39/9.61 tff(9038,plain,
% 14.39/9.61 ((~![B: $i] : ((~less_3(B)) | (v130(constB45, B) <=> b001(B)))) | (~less_3(bitIndex0)) | (v130(constB45, bitIndex0) <=> b001(bitIndex0))),
% 14.39/9.61 inference(modus_ponens,[status(thm)],[9037, 9036])).
% 14.39/9.61 tff(9039,plain,
% 14.39/9.61 (v130(constB45, bitIndex0) <=> b001(bitIndex0)),
% 14.39/9.61 inference(unit_resolution,[status(thm)],[9038, 5004, 9004])).
% 14.39/9.61 tff(9040,plain,
% 14.39/9.61 ((~(v130(constB45, bitIndex0) <=> b001(bitIndex0))) | v130(constB45, bitIndex0) | (~b001(bitIndex0))),
% 14.39/9.61 inference(tautology,[status(thm)],[])).
% 14.39/9.61 tff(9041,plain,
% 14.39/9.61 ((~(v130(constB45, bitIndex0) <=> b001(bitIndex0))) | v130(constB45, bitIndex0)),
% 14.39/9.61 inference(unit_resolution,[status(thm)],[9040, 5659])).
% 14.39/9.61 tff(9042,plain,
% 14.39/9.61 (v130(constB45, bitIndex0)),
% 14.39/9.61 inference(unit_resolution,[status(thm)],[9041, 9039])).
% 14.39/9.61 tff(9043,plain,
% 14.39/9.61 ((~(v127(constB45, bitIndex0) <=> v130(constB45, bitIndex0))) | v127(constB45, bitIndex0) | (~v130(constB45, bitIndex0))),
% 14.39/9.61 inference(tautology,[status(thm)],[])).
% 14.39/9.61 tff(9044,plain,
% 14.39/9.61 (v127(constB45, bitIndex0)),
% 14.39/9.61 inference(unit_resolution,[status(thm)],[9043, 9042, 9035])).
% 14.39/9.61 tff(9045,plain,
% 14.39/9.61 ((~(v129(constB46, bitIndex0) <=> v127(constB45, bitIndex0))) | v129(constB46, bitIndex0) | (~v127(constB45, bitIndex0))),
% 14.39/9.61 inference(tautology,[status(thm)],[])).
% 14.39/9.61 tff(9046,plain,
% 14.39/9.61 (v129(constB46, bitIndex0)),
% 14.39/9.61 inference(unit_resolution,[status(thm)],[9045, 9044, 9031])).
% 14.39/9.61 tff(9047,plain,
% 14.39/9.61 ((~(v90(constB46, bitIndex0) <=> v129(constB46, bitIndex0))) | v90(constB46, bitIndex0) | (~v129(constB46, bitIndex0))),
% 14.39/9.61 inference(tautology,[status(thm)],[])).
% 14.39/9.61 tff(9048,plain,
% 14.39/9.61 (v90(constB46, bitIndex0)),
% 14.39/9.61 inference(unit_resolution,[status(thm)],[9047, 9046, 9027])).
% 14.39/9.61 tff(9049,plain,
% 14.39/9.61 ((~(v90(constB47, bitIndex0) <=> v90(constB46, bitIndex0))) | v90(constB47, bitIndex0) | (~v90(constB46, bitIndex0))),
% 14.39/9.61 inference(tautology,[status(thm)],[])).
% 14.39/9.61 tff(9050,plain,
% 14.39/9.61 (v90(constB47, bitIndex0)),
% 14.39/9.61 inference(unit_resolution,[status(thm)],[9049, 9048, 9023])).
% 14.39/9.61 tff(9051,plain,
% 14.39/9.61 (((~![B: $i] : ((~less_3(B)) | (v90(constB47, B) <=> v90(constB46, B)))) | ((~less_3(bitIndex1)) | (v90(constB47, bitIndex1) <=> v90(constB46, bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v90(constB47, B) <=> v90(constB46, B)))) | (~less_3(bitIndex1)) | (v90(constB47, bitIndex1) <=> v90(constB46, bitIndex1)))),
% 14.39/9.61 inference(rewrite,[status(thm)],[])).
% 14.39/9.61 tff(9052,plain,
% 14.39/9.61 ((~![B: $i] : ((~less_3(B)) | (v90(constB47, B) <=> v90(constB46, B)))) | ((~less_3(bitIndex1)) | (v90(constB47, bitIndex1) <=> v90(constB46, bitIndex1)))),
% 14.39/9.61 inference(quant_inst,[status(thm)],[])).
% 14.39/9.61 tff(9053,plain,
% 14.39/9.61 ((~![B: $i] : ((~less_3(B)) | (v90(constB47, B) <=> v90(constB46, B)))) | (~less_3(bitIndex1)) | (v90(constB47, bitIndex1) <=> v90(constB46, bitIndex1))),
% 14.39/9.61 inference(modus_ponens,[status(thm)],[9052, 9051])).
% 14.39/9.61 tff(9054,plain,
% 14.39/9.61 (v90(constB47, bitIndex1) <=> v90(constB46, bitIndex1)),
% 14.39/9.61 inference(unit_resolution,[status(thm)],[9053, 5017, 2866])).
% 14.39/9.61 tff(9055,plain,
% 14.39/9.61 (((~![B: $i] : ((~less_3(B)) | (v90(constB46, B) <=> v129(constB46, B)))) | ((~less_3(bitIndex1)) | (v90(constB46, bitIndex1) <=> v129(constB46, bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v90(constB46, B) <=> v129(constB46, B)))) | (~less_3(bitIndex1)) | (v90(constB46, bitIndex1) <=> v129(constB46, bitIndex1)))),
% 14.39/9.61 inference(rewrite,[status(thm)],[])).
% 14.39/9.61 tff(9056,plain,
% 14.39/9.61 ((~![B: $i] : ((~less_3(B)) | (v90(constB46, B) <=> v129(constB46, B)))) | ((~less_3(bitIndex1)) | (v90(constB46, bitIndex1) <=> v129(constB46, bitIndex1)))),
% 14.39/9.61 inference(quant_inst,[status(thm)],[])).
% 14.39/9.61 tff(9057,plain,
% 14.39/9.61 ((~![B: $i] : ((~less_3(B)) | (v90(constB46, B) <=> v129(constB46, B)))) | (~less_3(bitIndex1)) | (v90(constB46, bitIndex1) <=> v129(constB46, bitIndex1))),
% 14.39/9.61 inference(modus_ponens,[status(thm)],[9056, 9055])).
% 14.39/9.61 tff(9058,plain,
% 14.39/9.61 (v90(constB46, bitIndex1) <=> v129(constB46, bitIndex1)),
% 14.39/9.61 inference(unit_resolution,[status(thm)],[9057, 5017, 8915])).
% 14.39/9.61 tff(9059,plain,
% 14.39/9.61 (((~![B: $i] : ((~less_3(B)) | (v129(constB46, B) <=> v127(constB45, B)))) | ((~less_3(bitIndex1)) | (v129(constB46, bitIndex1) <=> v127(constB45, bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v129(constB46, B) <=> v127(constB45, B)))) | (~less_3(bitIndex1)) | (v129(constB46, bitIndex1) <=> v127(constB45, bitIndex1)))),
% 14.39/9.61 inference(rewrite,[status(thm)],[])).
% 14.39/9.61 tff(9060,plain,
% 14.39/9.61 ((~![B: $i] : ((~less_3(B)) | (v129(constB46, B) <=> v127(constB45, B)))) | ((~less_3(bitIndex1)) | (v129(constB46, bitIndex1) <=> v127(constB45, bitIndex1)))),
% 14.39/9.61 inference(quant_inst,[status(thm)],[])).
% 14.39/9.61 tff(9061,plain,
% 14.39/9.61 ((~![B: $i] : ((~less_3(B)) | (v129(constB46, B) <=> v127(constB45, B)))) | (~less_3(bitIndex1)) | (v129(constB46, bitIndex1) <=> v127(constB45, bitIndex1))),
% 14.39/9.61 inference(modus_ponens,[status(thm)],[9060, 9059])).
% 14.39/9.61 tff(9062,plain,
% 14.39/9.61 (v129(constB46, bitIndex1) <=> v127(constB45, bitIndex1)),
% 14.39/9.61 inference(unit_resolution,[status(thm)],[9061, 5017, 8923])).
% 14.39/9.61 tff(9063,plain,
% 14.39/9.61 (((~![B: $i] : ((~less_3(B)) | (v127(constB45, B) <=> v130(constB45, B)))) | ((~less_3(bitIndex1)) | (v127(constB45, bitIndex1) <=> v130(constB45, bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v127(constB45, B) <=> v130(constB45, B)))) | (~less_3(bitIndex1)) | (v127(constB45, bitIndex1) <=> v130(constB45, bitIndex1)))),
% 14.39/9.61 inference(rewrite,[status(thm)],[])).
% 14.39/9.61 tff(9064,plain,
% 14.39/9.61 ((~![B: $i] : ((~less_3(B)) | (v127(constB45, B) <=> v130(constB45, B)))) | ((~less_3(bitIndex1)) | (v127(constB45, bitIndex1) <=> v130(constB45, bitIndex1)))),
% 14.39/9.61 inference(quant_inst,[status(thm)],[])).
% 14.39/9.61 tff(9065,plain,
% 14.39/9.61 ((~![B: $i] : ((~less_3(B)) | (v127(constB45, B) <=> v130(constB45, B)))) | (~less_3(bitIndex1)) | (v127(constB45, bitIndex1) <=> v130(constB45, bitIndex1))),
% 14.39/9.61 inference(modus_ponens,[status(thm)],[9064, 9063])).
% 14.39/9.61 tff(9066,plain,
% 14.39/9.61 (v127(constB45, bitIndex1) <=> v130(constB45, bitIndex1)),
% 14.39/9.61 inference(unit_resolution,[status(thm)],[9065, 5017, 8931])).
% 14.39/9.61 tff(9067,plain,
% 14.39/9.61 (((~![B: $i] : ((~less_3(B)) | (v130(constB45, B) <=> b001(B)))) | ((~less_3(bitIndex1)) | (v130(constB45, bitIndex1) <=> b001(bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v130(constB45, B) <=> b001(B)))) | (~less_3(bitIndex1)) | (v130(constB45, bitIndex1) <=> b001(bitIndex1)))),
% 14.39/9.61 inference(rewrite,[status(thm)],[])).
% 14.39/9.61 tff(9068,plain,
% 14.39/9.61 ((~![B: $i] : ((~less_3(B)) | (v130(constB45, B) <=> b001(B)))) | ((~less_3(bitIndex1)) | (v130(constB45, bitIndex1) <=> b001(bitIndex1)))),
% 14.39/9.61 inference(quant_inst,[status(thm)],[])).
% 14.39/9.61 tff(9069,plain,
% 14.39/9.61 ((~![B: $i] : ((~less_3(B)) | (v130(constB45, B) <=> b001(B)))) | (~less_3(bitIndex1)) | (v130(constB45, bitIndex1) <=> b001(bitIndex1))),
% 14.39/9.61 inference(modus_ponens,[status(thm)],[9068, 9067])).
% 14.39/9.61 tff(9070,plain,
% 14.39/9.61 (v130(constB45, bitIndex1) <=> b001(bitIndex1)),
% 14.39/9.61 inference(unit_resolution,[status(thm)],[9069, 5017, 9004])).
% 14.39/9.61 tff(9071,plain,
% 14.39/9.61 ((~(v130(constB45, bitIndex1) <=> b001(bitIndex1))) | (~v130(constB45, bitIndex1)) | b001(bitIndex1)),
% 14.39/9.61 inference(tautology,[status(thm)],[])).
% 14.39/9.61 tff(9072,plain,
% 14.39/9.61 ((~(v130(constB45, bitIndex1) <=> b001(bitIndex1))) | (~v130(constB45, bitIndex1))),
% 14.39/9.61 inference(unit_resolution,[status(thm)],[9071, 5693])).
% 14.39/9.61 tff(9073,plain,
% 14.39/9.61 (~v130(constB45, bitIndex1)),
% 14.39/9.61 inference(unit_resolution,[status(thm)],[9072, 9070])).
% 14.39/9.61 tff(9074,plain,
% 14.39/9.61 ((~(v127(constB45, bitIndex1) <=> v130(constB45, bitIndex1))) | (~v127(constB45, bitIndex1)) | v130(constB45, bitIndex1)),
% 14.39/9.61 inference(tautology,[status(thm)],[])).
% 14.39/9.61 tff(9075,plain,
% 14.39/9.61 (~v127(constB45, bitIndex1)),
% 14.39/9.61 inference(unit_resolution,[status(thm)],[9074, 9073, 9066])).
% 14.39/9.61 tff(9076,plain,
% 14.39/9.61 ((~(v129(constB46, bitIndex1) <=> v127(constB45, bitIndex1))) | (~v129(constB46, bitIndex1)) | v127(constB45, bitIndex1)),
% 14.39/9.61 inference(tautology,[status(thm)],[])).
% 14.39/9.61 tff(9077,plain,
% 14.39/9.61 (~v129(constB46, bitIndex1)),
% 14.39/9.61 inference(unit_resolution,[status(thm)],[9076, 9075, 9062])).
% 14.39/9.61 tff(9078,plain,
% 14.39/9.61 ((~(v90(constB46, bitIndex1) <=> v129(constB46, bitIndex1))) | (~v90(constB46, bitIndex1)) | v129(constB46, bitIndex1)),
% 14.39/9.61 inference(tautology,[status(thm)],[])).
% 14.39/9.61 tff(9079,plain,
% 14.39/9.61 (~v90(constB46, bitIndex1)),
% 14.39/9.61 inference(unit_resolution,[status(thm)],[9078, 9077, 9058])).
% 14.39/9.61 tff(9080,plain,
% 14.39/9.61 ((~(v90(constB47, bitIndex1) <=> v90(constB46, bitIndex1))) | (~v90(constB47, bitIndex1)) | v90(constB46, bitIndex1)),
% 14.39/9.61 inference(tautology,[status(thm)],[])).
% 14.39/9.61 tff(9081,plain,
% 14.39/9.61 (~v90(constB47, bitIndex1)),
% 14.39/9.61 inference(unit_resolution,[status(thm)],[9080, 9079, 9054])).
% 14.39/9.61 tff(9082,plain,
% 14.39/9.61 ((~(v90(constB47, bitIndex2) | v90(constB47, bitIndex1) | (~v90(constB47, bitIndex0)))) | v90(constB47, bitIndex2) | v90(constB47, bitIndex1) | (~v90(constB47, bitIndex0))),
% 14.39/9.61 inference(tautology,[status(thm)],[])).
% 14.39/9.61 tff(9083,plain,
% 14.39/9.61 (~(v90(constB47, bitIndex2) | v90(constB47, bitIndex1) | (~v90(constB47, bitIndex0)))),
% 14.39/9.61 inference(unit_resolution,[status(thm)],[9082, 9081, 9050, 9019])).
% 14.39/9.61 tff(9084,plain,
% 14.39/9.61 ((~(v120(constB47) <=> (~(v90(constB47, bitIndex2) | v90(constB47, bitIndex1) | (~v90(constB47, bitIndex0)))))) | v120(constB47) | (v90(constB47, bitIndex2) | v90(constB47, bitIndex1) | (~v90(constB47, bitIndex0)))),
% 14.39/9.61 inference(tautology,[status(thm)],[])).
% 14.39/9.61 tff(9085,plain,
% 14.39/9.61 (v120(constB47)),
% 14.39/9.61 inference(unit_resolution,[status(thm)],[9084, 9083, 2838])).
% 14.39/9.61 tff(9086,plain,
% 14.39/9.61 ((v119(constB47) | v120(constB47)) | (~v120(constB47))),
% 14.39/9.61 inference(tautology,[status(thm)],[])).
% 14.39/9.61 tff(9087,plain,
% 14.39/9.61 (v119(constB47) | v120(constB47)),
% 14.39/9.61 inference(unit_resolution,[status(thm)],[9086, 9085])).
% 14.39/9.61 tff(9088,plain,
% 14.39/9.61 ((~(v118(constB47) <=> (v119(constB47) | v120(constB47)))) | v118(constB47) | (~(v119(constB47) | v120(constB47)))),
% 14.39/9.61 inference(tautology,[status(thm)],[])).
% 14.39/9.61 tff(9089,plain,
% 14.39/9.61 (v118(constB47)),
% 14.39/9.61 inference(unit_resolution,[status(thm)],[9088, 9087, 2831])).
% 14.39/9.61 tff(9090,plain,
% 14.39/9.61 ((v118(constB47) | v121(constB47)) | (~v118(constB47))),
% 14.39/9.61 inference(tautology,[status(thm)],[])).
% 14.39/9.61 tff(9091,plain,
% 14.39/9.61 (v118(constB47) | v121(constB47)),
% 14.39/9.61 inference(unit_resolution,[status(thm)],[9090, 9089])).
% 14.39/9.61 tff(9092,plain,
% 14.39/9.61 ((~(v117(constB47) <=> (v118(constB47) | v121(constB47)))) | v117(constB47) | (~(v118(constB47) | v121(constB47)))),
% 14.39/9.61 inference(tautology,[status(thm)],[])).
% 14.39/9.61 tff(9093,plain,
% 14.39/9.61 (v117(constB47)),
% 14.39/9.61 inference(unit_resolution,[status(thm)],[9092, 9091, 2829])).
% 14.39/9.61 tff(9094,plain,
% 14.39/9.61 ((v117(constB47) | v122(constB47)) | (~v117(constB47))),
% 14.39/9.61 inference(tautology,[status(thm)],[])).
% 14.39/9.61 tff(9095,plain,
% 14.39/9.61 (v117(constB47) | v122(constB47)),
% 14.39/9.61 inference(unit_resolution,[status(thm)],[9094, 9093])).
% 14.39/9.61 tff(9096,plain,
% 14.39/9.61 ((~(v116(constB47) <=> (v117(constB47) | v122(constB47)))) | v116(constB47) | (~(v117(constB47) | v122(constB47)))),
% 14.39/9.61 inference(tautology,[status(thm)],[])).
% 14.39/9.61 tff(9097,plain,
% 14.39/9.61 (v116(constB47)),
% 14.39/9.61 inference(unit_resolution,[status(thm)],[9096, 9095, 2827])).
% 14.39/9.61 tff(9098,plain,
% 14.39/9.61 ((v116(constB47) | v123(constB47)) | (~v116(constB47))),
% 14.39/9.61 inference(tautology,[status(thm)],[])).
% 14.39/9.61 tff(9099,plain,
% 14.39/9.61 (v116(constB47) | v123(constB47)),
% 14.39/9.61 inference(unit_resolution,[status(thm)],[9098, 9097])).
% 14.39/9.61 tff(9100,plain,
% 14.39/9.61 ((~(v115(constB47) <=> (v116(constB47) | v123(constB47)))) | v115(constB47) | (~(v116(constB47) | v123(constB47)))),
% 14.39/9.61 inference(tautology,[status(thm)],[])).
% 14.39/9.61 tff(9101,plain,
% 14.39/9.61 (v115(constB47)),
% 14.39/9.61 inference(unit_resolution,[status(thm)],[9100, 9099, 2825])).
% 14.39/9.61 tff(9102,plain,
% 14.39/9.61 ((v115(constB47) | v124(constB47)) | (~v115(constB47))),
% 14.39/9.61 inference(tautology,[status(thm)],[])).
% 14.39/9.61 tff(9103,plain,
% 14.39/9.61 (v115(constB47) | v124(constB47)),
% 14.39/9.61 inference(unit_resolution,[status(thm)],[9102, 9101])).
% 14.39/9.61 tff(9104,plain,
% 14.39/9.61 ((~(v114(constB47) <=> (v115(constB47) | v124(constB47)))) | v114(constB47) | (~(v115(constB47) | v124(constB47)))),
% 14.39/9.61 inference(tautology,[status(thm)],[])).
% 14.39/9.61 tff(9105,plain,
% 14.39/9.61 (v114(constB47)),
% 14.39/9.61 inference(unit_resolution,[status(thm)],[9104, 9103, 2823])).
% 14.39/9.61 tff(9106,plain,
% 14.39/9.61 ((v114(constB47) | v125(constB47)) | (~v114(constB47))),
% 14.39/9.61 inference(tautology,[status(thm)],[])).
% 14.39/9.61 tff(9107,plain,
% 14.39/9.61 (v114(constB47) | v125(constB47)),
% 14.39/9.61 inference(unit_resolution,[status(thm)],[9106, 9105])).
% 14.39/9.61 tff(9108,plain,
% 14.39/9.61 ((~(v113(constB47) <=> (v114(constB47) | v125(constB47)))) | v113(constB47) | (~(v114(constB47) | v125(constB47)))),
% 14.39/9.62 inference(tautology,[status(thm)],[])).
% 14.39/9.62 tff(9109,plain,
% 14.39/9.62 (v113(constB47)),
% 14.39/9.62 inference(unit_resolution,[status(thm)],[9108, 9107, 2821])).
% 14.39/9.62 tff(9110,plain,
% 14.39/9.62 ((~![VarCurr: $i] : ((~v126(VarCurr)) <=> v111(VarCurr))) | ((~v126(constB47)) <=> v111(constB47))),
% 14.39/9.62 inference(quant_inst,[status(thm)],[])).
% 14.39/9.62 tff(9111,plain,
% 14.39/9.62 ((~v126(constB47)) <=> v111(constB47)),
% 14.39/9.62 inference(unit_resolution,[status(thm)],[9110, 5074])).
% 14.39/9.62 tff(9112,plain,
% 14.39/9.62 ((~![VarCurr: $i] : (v111(VarCurr) <=> v26(VarCurr))) | (v111(constB47) <=> v26(constB47))),
% 14.39/9.62 inference(quant_inst,[status(thm)],[])).
% 14.39/9.62 tff(9113,plain,
% 14.39/9.62 (v111(constB47) <=> v26(constB47)),
% 14.39/9.62 inference(unit_resolution,[status(thm)],[9112, 5086])).
% 14.39/9.62 tff(9114,plain,
% 14.39/9.62 ((~![VarCurr: $i] : (~v26(VarCurr))) | (~v26(constB47))),
% 14.39/9.62 inference(quant_inst,[status(thm)],[])).
% 14.39/9.62 tff(9115,plain,
% 14.39/9.62 (~v26(constB47)),
% 14.39/9.62 inference(unit_resolution,[status(thm)],[9114, 5098])).
% 14.39/9.62 tff(9116,plain,
% 14.39/9.62 ((~(v111(constB47) <=> v26(constB47))) | (~v111(constB47)) | v26(constB47)),
% 14.39/9.62 inference(tautology,[status(thm)],[])).
% 14.39/9.62 tff(9117,plain,
% 14.39/9.62 ((~(v111(constB47) <=> v26(constB47))) | (~v111(constB47))),
% 14.39/9.62 inference(unit_resolution,[status(thm)],[9116, 9115])).
% 14.39/9.62 tff(9118,plain,
% 14.39/9.62 (~v111(constB47)),
% 14.39/9.62 inference(unit_resolution,[status(thm)],[9117, 9113])).
% 14.39/9.62 tff(9119,plain,
% 14.39/9.62 ((~((~v126(constB47)) <=> v111(constB47))) | v126(constB47) | v111(constB47)),
% 14.39/9.62 inference(tautology,[status(thm)],[])).
% 14.39/9.62 tff(9120,plain,
% 14.39/9.62 ((~((~v126(constB47)) <=> v111(constB47))) | v126(constB47)),
% 14.39/9.62 inference(unit_resolution,[status(thm)],[9119, 9118])).
% 14.39/9.62 tff(9121,plain,
% 14.39/9.62 (v126(constB47)),
% 14.39/9.62 inference(unit_resolution,[status(thm)],[9120, 9111])).
% 14.39/9.62 tff(9122,plain,
% 14.39/9.62 ((~((~v113(constB47)) | (~v126(constB47)))) | (~v113(constB47)) | (~v126(constB47))),
% 14.39/9.62 inference(tautology,[status(thm)],[])).
% 14.39/9.62 tff(9123,plain,
% 14.39/9.62 ((~((~v113(constB47)) | (~v126(constB47)))) | (~v113(constB47))),
% 14.39/9.62 inference(unit_resolution,[status(thm)],[9122, 9121])).
% 14.39/9.62 tff(9124,plain,
% 14.39/9.62 (~((~v113(constB47)) | (~v126(constB47)))),
% 14.39/9.62 inference(unit_resolution,[status(thm)],[9123, 9109])).
% 14.39/9.62 tff(9125,plain,
% 14.39/9.62 ((~(v112(constB47) <=> (~((~v113(constB47)) | (~v126(constB47)))))) | v112(constB47) | ((~v113(constB47)) | (~v126(constB47)))),
% 14.39/9.62 inference(tautology,[status(thm)],[])).
% 14.39/9.62 tff(9126,plain,
% 14.39/9.62 (v112(constB47)),
% 14.39/9.62 inference(unit_resolution,[status(thm)],[9125, 9124, 2819])).
% 14.39/9.62 tff(9127,plain,
% 14.39/9.62 ((v111(constB47) | v112(constB47)) | (~v112(constB47))),
% 14.39/9.62 inference(tautology,[status(thm)],[])).
% 14.39/9.62 tff(9128,plain,
% 14.39/9.62 (v111(constB47) | v112(constB47)),
% 14.39/9.62 inference(unit_resolution,[status(thm)],[9127, 9126])).
% 14.39/9.62 tff(9129,plain,
% 14.39/9.62 ((~(v108(constB47) <=> (v111(constB47) | v112(constB47)))) | v108(constB47) | (~(v111(constB47) | v112(constB47)))),
% 14.39/9.62 inference(tautology,[status(thm)],[])).
% 14.39/9.62 tff(9130,plain,
% 14.39/9.62 (v108(constB47)),
% 14.39/9.62 inference(unit_resolution,[status(thm)],[9129, 9128, 2817])).
% 14.39/9.62 tff(9131,plain,
% 14.39/9.62 ((~(v110(constB48) <=> v108(constB47))) | v110(constB48) | (~v108(constB47))),
% 14.39/9.62 inference(tautology,[status(thm)],[])).
% 14.39/9.62 tff(9132,plain,
% 14.39/9.62 (v110(constB48)),
% 14.39/9.62 inference(unit_resolution,[status(thm)],[9131, 9130, 2815])).
% 14.39/9.62 tff(9133,plain,
% 14.39/9.62 ((~((~v101(constB48)) | (~v110(constB48)))) | (~v101(constB48)) | (~v110(constB48))),
% 14.39/9.62 inference(tautology,[status(thm)],[])).
% 14.39/9.62 tff(9134,plain,
% 14.39/9.62 (~((~v101(constB48)) | (~v110(constB48)))),
% 14.39/9.62 inference(unit_resolution,[status(thm)],[9133, 9132, 2811])).
% 14.39/9.62 tff(9135,plain,
% 14.39/9.62 ((~(v100(constB48) <=> (~((~v101(constB48)) | (~v110(constB48)))))) | v100(constB48) | ((~v101(constB48)) | (~v110(constB48)))),
% 14.39/9.62 inference(tautology,[status(thm)],[])).
% 14.39/9.62 tff(9136,plain,
% 14.39/9.62 (v100(constB48)),
% 14.39/9.62 inference(unit_resolution,[status(thm)],[9135, 9134, 2780])).
% 14.39/9.62 tff(9137,plain,
% 14.39/9.62 (((~![VarNext: $i] : ((~v100(VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v129(VarNext, B))))) | ((~v100(constB48)) | ![B: $i] : ((~less_3(B)) | (v90(constB48, B) <=> v129(constB48, B))))) <=> ((~![VarNext: $i] : ((~v100(VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v129(VarNext, B))))) | (~v100(constB48)) | ![B: $i] : ((~less_3(B)) | (v90(constB48, B) <=> v129(constB48, B))))),
% 14.39/9.62 inference(rewrite,[status(thm)],[])).
% 14.39/9.62 tff(9138,plain,
% 14.39/9.62 ((~![VarNext: $i] : ((~v100(VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v129(VarNext, B))))) | ((~v100(constB48)) | ![B: $i] : ((~less_3(B)) | (v90(constB48, B) <=> v129(constB48, B))))),
% 14.39/9.62 inference(quant_inst,[status(thm)],[])).
% 14.39/9.62 tff(9139,plain,
% 14.39/9.62 ((~![VarNext: $i] : ((~v100(VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v129(VarNext, B))))) | (~v100(constB48)) | ![B: $i] : ((~less_3(B)) | (v90(constB48, B) <=> v129(constB48, B)))),
% 14.39/9.62 inference(modus_ponens,[status(thm)],[9138, 9137])).
% 14.39/9.62 tff(9140,plain,
% 14.39/9.62 ((~v100(constB48)) | ![B: $i] : ((~less_3(B)) | (v90(constB48, B) <=> v129(constB48, B)))),
% 14.39/9.62 inference(unit_resolution,[status(thm)],[9139, 5134])).
% 14.39/9.62 tff(9141,plain,
% 14.39/9.62 (![B: $i] : ((~less_3(B)) | (v90(constB48, B) <=> v129(constB48, B)))),
% 14.39/9.62 inference(unit_resolution,[status(thm)],[9140, 9136])).
% 14.39/9.62 tff(9142,plain,
% 14.39/9.62 (((~![B: $i] : ((~less_3(B)) | (v90(constB48, B) <=> v129(constB48, B)))) | ((~less_3(bitIndex2)) | (v90(constB48, bitIndex2) <=> v129(constB48, bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v90(constB48, B) <=> v129(constB48, B)))) | (~less_3(bitIndex2)) | (v90(constB48, bitIndex2) <=> v129(constB48, bitIndex2)))),
% 14.39/9.62 inference(rewrite,[status(thm)],[])).
% 14.39/9.62 tff(9143,plain,
% 14.39/9.62 ((~![B: $i] : ((~less_3(B)) | (v90(constB48, B) <=> v129(constB48, B)))) | ((~less_3(bitIndex2)) | (v90(constB48, bitIndex2) <=> v129(constB48, bitIndex2)))),
% 14.39/9.62 inference(quant_inst,[status(thm)],[])).
% 14.39/9.62 tff(9144,plain,
% 14.39/9.62 ((~![B: $i] : ((~less_3(B)) | (v90(constB48, B) <=> v129(constB48, B)))) | (~less_3(bitIndex2)) | (v90(constB48, bitIndex2) <=> v129(constB48, bitIndex2))),
% 14.39/9.62 inference(modus_ponens,[status(thm)],[9143, 9142])).
% 14.39/9.62 tff(9145,plain,
% 14.39/9.62 (v90(constB48, bitIndex2) <=> v129(constB48, bitIndex2)),
% 14.39/9.62 inference(unit_resolution,[status(thm)],[9144, 413, 9141])).
% 14.39/9.62 tff(9146,plain,
% 14.39/9.62 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v129(VarNext, B) <=> v127(VarCurr, B))))) | ((~nextState(constB47, constB48)) | ![B: $i] : ((~less_3(B)) | (v129(constB48, B) <=> v127(constB47, B))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v129(VarNext, B) <=> v127(VarCurr, B))))) | (~nextState(constB47, constB48)) | ![B: $i] : ((~less_3(B)) | (v129(constB48, B) <=> v127(constB47, B))))),
% 14.39/9.62 inference(rewrite,[status(thm)],[])).
% 14.39/9.62 tff(9147,plain,
% 14.39/9.62 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v129(VarNext, B) <=> v127(VarCurr, B))))) | ((~nextState(constB47, constB48)) | ![B: $i] : ((~less_3(B)) | (v129(constB48, B) <=> v127(constB47, B))))),
% 14.39/9.62 inference(quant_inst,[status(thm)],[])).
% 14.39/9.62 tff(9148,plain,
% 14.39/9.62 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v129(VarNext, B) <=> v127(VarCurr, B))))) | (~nextState(constB47, constB48)) | ![B: $i] : ((~less_3(B)) | (v129(constB48, B) <=> v127(constB47, B)))),
% 14.39/9.62 inference(modus_ponens,[status(thm)],[9147, 9146])).
% 14.39/9.62 tff(9149,plain,
% 14.39/9.62 (![B: $i] : ((~less_3(B)) | (v129(constB48, B) <=> v127(constB47, B)))),
% 14.39/9.62 inference(unit_resolution,[status(thm)],[9148, 2776, 5156])).
% 14.39/9.62 tff(9150,plain,
% 14.39/9.62 (((~![B: $i] : ((~less_3(B)) | (v129(constB48, B) <=> v127(constB47, B)))) | ((~less_3(bitIndex2)) | (v129(constB48, bitIndex2) <=> v127(constB47, bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v129(constB48, B) <=> v127(constB47, B)))) | (~less_3(bitIndex2)) | (v129(constB48, bitIndex2) <=> v127(constB47, bitIndex2)))),
% 14.39/9.62 inference(rewrite,[status(thm)],[])).
% 14.39/9.62 tff(9151,plain,
% 14.39/9.62 ((~![B: $i] : ((~less_3(B)) | (v129(constB48, B) <=> v127(constB47, B)))) | ((~less_3(bitIndex2)) | (v129(constB48, bitIndex2) <=> v127(constB47, bitIndex2)))),
% 14.39/9.62 inference(quant_inst,[status(thm)],[])).
% 14.39/9.62 tff(9152,plain,
% 14.39/9.62 ((~![B: $i] : ((~less_3(B)) | (v129(constB48, B) <=> v127(constB47, B)))) | (~less_3(bitIndex2)) | (v129(constB48, bitIndex2) <=> v127(constB47, bitIndex2))),
% 14.39/9.62 inference(modus_ponens,[status(thm)],[9151, 9150])).
% 14.39/9.62 tff(9153,plain,
% 14.39/9.62 (v129(constB48, bitIndex2) <=> v127(constB47, bitIndex2)),
% 14.39/9.62 inference(unit_resolution,[status(thm)],[9152, 413, 9149])).
% 14.39/9.62 tff(9154,plain,
% 14.39/9.62 (((~![VarCurr: $i] : (v111(VarCurr) | ![B: $i] : ((~less_3(B)) | (v127(VarCurr, B) <=> v130(VarCurr, B))))) | (v111(constB47) | ![B: $i] : ((~less_3(B)) | (v127(constB47, B) <=> v130(constB47, B))))) <=> ((~![VarCurr: $i] : (v111(VarCurr) | ![B: $i] : ((~less_3(B)) | (v127(VarCurr, B) <=> v130(VarCurr, B))))) | v111(constB47) | ![B: $i] : ((~less_3(B)) | (v127(constB47, B) <=> v130(constB47, B))))),
% 14.39/9.62 inference(rewrite,[status(thm)],[])).
% 14.39/9.62 tff(9155,plain,
% 14.39/9.62 ((~![VarCurr: $i] : (v111(VarCurr) | ![B: $i] : ((~less_3(B)) | (v127(VarCurr, B) <=> v130(VarCurr, B))))) | (v111(constB47) | ![B: $i] : ((~less_3(B)) | (v127(constB47, B) <=> v130(constB47, B))))),
% 14.39/9.62 inference(quant_inst,[status(thm)],[])).
% 14.39/9.62 tff(9156,plain,
% 14.39/9.62 ((~![VarCurr: $i] : (v111(VarCurr) | ![B: $i] : ((~less_3(B)) | (v127(VarCurr, B) <=> v130(VarCurr, B))))) | v111(constB47) | ![B: $i] : ((~less_3(B)) | (v127(constB47, B) <=> v130(constB47, B)))),
% 14.39/9.62 inference(modus_ponens,[status(thm)],[9155, 9154])).
% 14.39/9.62 tff(9157,plain,
% 14.39/9.62 (![B: $i] : ((~less_3(B)) | (v127(constB47, B) <=> v130(constB47, B)))),
% 14.39/9.62 inference(unit_resolution,[status(thm)],[9156, 5177, 9118])).
% 14.39/9.62 tff(9158,plain,
% 14.39/9.62 (((~![B: $i] : ((~less_3(B)) | (v127(constB47, B) <=> v130(constB47, B)))) | ((~less_3(bitIndex2)) | (v127(constB47, bitIndex2) <=> v130(constB47, bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v127(constB47, B) <=> v130(constB47, B)))) | (~less_3(bitIndex2)) | (v127(constB47, bitIndex2) <=> v130(constB47, bitIndex2)))),
% 14.39/9.62 inference(rewrite,[status(thm)],[])).
% 14.39/9.62 tff(9159,plain,
% 14.39/9.62 ((~![B: $i] : ((~less_3(B)) | (v127(constB47, B) <=> v130(constB47, B)))) | ((~less_3(bitIndex2)) | (v127(constB47, bitIndex2) <=> v130(constB47, bitIndex2)))),
% 14.39/9.62 inference(quant_inst,[status(thm)],[])).
% 14.39/9.62 tff(9160,plain,
% 14.39/9.62 ((~![B: $i] : ((~less_3(B)) | (v127(constB47, B) <=> v130(constB47, B)))) | (~less_3(bitIndex2)) | (v127(constB47, bitIndex2) <=> v130(constB47, bitIndex2))),
% 14.39/9.62 inference(modus_ponens,[status(thm)],[9159, 9158])).
% 14.39/9.62 tff(9161,plain,
% 14.39/9.62 (v127(constB47, bitIndex2) <=> v130(constB47, bitIndex2)),
% 14.39/9.62 inference(unit_resolution,[status(thm)],[9160, 413, 9157])).
% 14.39/9.62 tff(9162,plain,
% 14.39/9.62 (((~![VarCurr: $i] : ((~v120(VarCurr)) | ![B: $i] : ((~less_3(B)) | (v130(VarCurr, B) <=> b010(B))))) | ((~v120(constB47)) | ![B: $i] : ((~less_3(B)) | (v130(constB47, B) <=> b010(B))))) <=> ((~![VarCurr: $i] : ((~v120(VarCurr)) | ![B: $i] : ((~less_3(B)) | (v130(VarCurr, B) <=> b010(B))))) | (~v120(constB47)) | ![B: $i] : ((~less_3(B)) | (v130(constB47, B) <=> b010(B))))),
% 14.39/9.62 inference(rewrite,[status(thm)],[])).
% 14.39/9.62 tff(9163,plain,
% 14.39/9.62 ((~![VarCurr: $i] : ((~v120(VarCurr)) | ![B: $i] : ((~less_3(B)) | (v130(VarCurr, B) <=> b010(B))))) | ((~v120(constB47)) | ![B: $i] : ((~less_3(B)) | (v130(constB47, B) <=> b010(B))))),
% 14.39/9.62 inference(quant_inst,[status(thm)],[])).
% 14.39/9.62 tff(9164,plain,
% 14.39/9.62 ((~![VarCurr: $i] : ((~v120(VarCurr)) | ![B: $i] : ((~less_3(B)) | (v130(VarCurr, B) <=> b010(B))))) | (~v120(constB47)) | ![B: $i] : ((~less_3(B)) | (v130(constB47, B) <=> b010(B)))),
% 14.39/9.62 inference(modus_ponens,[status(thm)],[9163, 9162])).
% 14.39/9.62 tff(9165,plain,
% 14.39/9.62 ((~v120(constB47)) | ![B: $i] : ((~less_3(B)) | (v130(constB47, B) <=> b010(B)))),
% 14.39/9.62 inference(unit_resolution,[status(thm)],[9164, 5797])).
% 14.39/9.62 tff(9166,plain,
% 14.39/9.62 (![B: $i] : ((~less_3(B)) | (v130(constB47, B) <=> b010(B)))),
% 14.39/9.62 inference(unit_resolution,[status(thm)],[9165, 9085])).
% 14.39/9.62 tff(9167,plain,
% 14.39/9.62 (((~![B: $i] : ((~less_3(B)) | (v130(constB47, B) <=> b010(B)))) | ((~less_3(bitIndex2)) | (v130(constB47, bitIndex2) <=> b010(bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v130(constB47, B) <=> b010(B)))) | (~less_3(bitIndex2)) | (v130(constB47, bitIndex2) <=> b010(bitIndex2)))),
% 14.39/9.62 inference(rewrite,[status(thm)],[])).
% 14.39/9.62 tff(9168,plain,
% 14.39/9.62 ((~![B: $i] : ((~less_3(B)) | (v130(constB47, B) <=> b010(B)))) | ((~less_3(bitIndex2)) | (v130(constB47, bitIndex2) <=> b010(bitIndex2)))),
% 14.39/9.62 inference(quant_inst,[status(thm)],[])).
% 14.39/9.62 tff(9169,plain,
% 14.39/9.62 ((~![B: $i] : ((~less_3(B)) | (v130(constB47, B) <=> b010(B)))) | (~less_3(bitIndex2)) | (v130(constB47, bitIndex2) <=> b010(bitIndex2))),
% 14.39/9.62 inference(modus_ponens,[status(thm)],[9168, 9167])).
% 14.39/9.62 tff(9170,plain,
% 14.39/9.62 (v130(constB47, bitIndex2) <=> b010(bitIndex2)),
% 14.39/9.62 inference(unit_resolution,[status(thm)],[9169, 413, 9166])).
% 14.39/9.62 tff(9171,plain,
% 14.39/9.62 ((~(v130(constB47, bitIndex2) <=> b010(bitIndex2))) | (~v130(constB47, bitIndex2)) | b010(bitIndex2)),
% 14.39/9.62 inference(tautology,[status(thm)],[])).
% 14.39/9.62 tff(9172,plain,
% 14.39/9.62 ((~(v130(constB47, bitIndex2) <=> b010(bitIndex2))) | (~v130(constB47, bitIndex2))),
% 14.39/9.62 inference(unit_resolution,[status(thm)],[9171, 5809])).
% 14.39/9.62 tff(9173,plain,
% 14.39/9.62 (~v130(constB47, bitIndex2)),
% 14.39/9.62 inference(unit_resolution,[status(thm)],[9172, 9170])).
% 14.39/9.62 tff(9174,plain,
% 14.39/9.62 ((~(v127(constB47, bitIndex2) <=> v130(constB47, bitIndex2))) | (~v127(constB47, bitIndex2)) | v130(constB47, bitIndex2)),
% 14.39/9.62 inference(tautology,[status(thm)],[])).
% 14.39/9.62 tff(9175,plain,
% 14.39/9.62 (~v127(constB47, bitIndex2)),
% 14.39/9.62 inference(unit_resolution,[status(thm)],[9174, 9173, 9161])).
% 14.39/9.62 tff(9176,plain,
% 14.39/9.62 ((~(v129(constB48, bitIndex2) <=> v127(constB47, bitIndex2))) | (~v129(constB48, bitIndex2)) | v127(constB47, bitIndex2)),
% 14.39/9.62 inference(tautology,[status(thm)],[])).
% 14.39/9.62 tff(9177,plain,
% 14.39/9.62 (~v129(constB48, bitIndex2)),
% 14.39/9.62 inference(unit_resolution,[status(thm)],[9176, 9175, 9153])).
% 14.39/9.62 tff(9178,plain,
% 14.39/9.62 ((~(v90(constB48, bitIndex2) <=> v129(constB48, bitIndex2))) | (~v90(constB48, bitIndex2)) | v129(constB48, bitIndex2)),
% 14.39/9.62 inference(tautology,[status(thm)],[])).
% 14.39/9.62 tff(9179,plain,
% 14.39/9.62 (~v90(constB48, bitIndex2)),
% 14.39/9.62 inference(unit_resolution,[status(thm)],[9178, 9177, 9145])).
% 14.39/9.62 tff(9180,plain,
% 14.39/9.62 ((~(v90(constB49, bitIndex2) <=> v90(constB48, bitIndex2))) | (~v90(constB49, bitIndex2)) | v90(constB48, bitIndex2)),
% 14.39/9.62 inference(tautology,[status(thm)],[])).
% 14.39/9.62 tff(9181,plain,
% 14.39/9.62 (~v90(constB49, bitIndex2)),
% 14.39/9.62 inference(unit_resolution,[status(thm)],[9180, 9179, 2773])).
% 14.39/9.62 tff(9182,plain,
% 14.39/9.62 (((~![B: $i] : ((~less_3(B)) | (v90(constB49, B) <=> v90(constB48, B)))) | ((~less_3(bitIndex0)) | (v90(constB49, bitIndex0) <=> v90(constB48, bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v90(constB49, B) <=> v90(constB48, B)))) | (~less_3(bitIndex0)) | (v90(constB49, bitIndex0) <=> v90(constB48, bitIndex0)))),
% 14.39/9.62 inference(rewrite,[status(thm)],[])).
% 14.39/9.62 tff(9183,plain,
% 14.39/9.62 ((~![B: $i] : ((~less_3(B)) | (v90(constB49, B) <=> v90(constB48, B)))) | ((~less_3(bitIndex0)) | (v90(constB49, bitIndex0) <=> v90(constB48, bitIndex0)))),
% 14.39/9.62 inference(quant_inst,[status(thm)],[])).
% 14.39/9.62 tff(9184,plain,
% 14.39/9.62 ((~![B: $i] : ((~less_3(B)) | (v90(constB49, B) <=> v90(constB48, B)))) | (~less_3(bitIndex0)) | (v90(constB49, bitIndex0) <=> v90(constB48, bitIndex0))),
% 14.39/9.62 inference(modus_ponens,[status(thm)],[9183, 9182])).
% 14.39/9.62 tff(9185,plain,
% 14.39/9.62 (v90(constB49, bitIndex0) <=> v90(constB48, bitIndex0)),
% 14.39/9.62 inference(unit_resolution,[status(thm)],[9184, 5004, 2769])).
% 14.39/9.62 tff(9186,plain,
% 14.39/9.62 (((~![B: $i] : ((~less_3(B)) | (v90(constB48, B) <=> v129(constB48, B)))) | ((~less_3(bitIndex0)) | (v90(constB48, bitIndex0) <=> v129(constB48, bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v90(constB48, B) <=> v129(constB48, B)))) | (~less_3(bitIndex0)) | (v90(constB48, bitIndex0) <=> v129(constB48, bitIndex0)))),
% 14.39/9.62 inference(rewrite,[status(thm)],[])).
% 14.39/9.62 tff(9187,plain,
% 14.39/9.62 ((~![B: $i] : ((~less_3(B)) | (v90(constB48, B) <=> v129(constB48, B)))) | ((~less_3(bitIndex0)) | (v90(constB48, bitIndex0) <=> v129(constB48, bitIndex0)))),
% 14.39/9.62 inference(quant_inst,[status(thm)],[])).
% 14.39/9.62 tff(9188,plain,
% 14.39/9.62 ((~![B: $i] : ((~less_3(B)) | (v90(constB48, B) <=> v129(constB48, B)))) | (~less_3(bitIndex0)) | (v90(constB48, bitIndex0) <=> v129(constB48, bitIndex0))),
% 14.39/9.62 inference(modus_ponens,[status(thm)],[9187, 9186])).
% 14.39/9.62 tff(9189,plain,
% 14.39/9.62 (v90(constB48, bitIndex0) <=> v129(constB48, bitIndex0)),
% 14.39/9.62 inference(unit_resolution,[status(thm)],[9188, 5004, 9141])).
% 14.39/9.62 tff(9190,plain,
% 14.39/9.62 (((~![B: $i] : ((~less_3(B)) | (v129(constB48, B) <=> v127(constB47, B)))) | ((~less_3(bitIndex0)) | (v129(constB48, bitIndex0) <=> v127(constB47, bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v129(constB48, B) <=> v127(constB47, B)))) | (~less_3(bitIndex0)) | (v129(constB48, bitIndex0) <=> v127(constB47, bitIndex0)))),
% 14.39/9.62 inference(rewrite,[status(thm)],[])).
% 14.39/9.62 tff(9191,plain,
% 14.39/9.62 ((~![B: $i] : ((~less_3(B)) | (v129(constB48, B) <=> v127(constB47, B)))) | ((~less_3(bitIndex0)) | (v129(constB48, bitIndex0) <=> v127(constB47, bitIndex0)))),
% 14.39/9.62 inference(quant_inst,[status(thm)],[])).
% 14.39/9.62 tff(9192,plain,
% 14.39/9.62 ((~![B: $i] : ((~less_3(B)) | (v129(constB48, B) <=> v127(constB47, B)))) | (~less_3(bitIndex0)) | (v129(constB48, bitIndex0) <=> v127(constB47, bitIndex0))),
% 14.39/9.62 inference(modus_ponens,[status(thm)],[9191, 9190])).
% 14.39/9.62 tff(9193,plain,
% 14.39/9.62 (v129(constB48, bitIndex0) <=> v127(constB47, bitIndex0)),
% 14.39/9.62 inference(unit_resolution,[status(thm)],[9192, 5004, 9149])).
% 14.39/9.62 tff(9194,plain,
% 14.39/9.62 (((~![B: $i] : ((~less_3(B)) | (v127(constB47, B) <=> v130(constB47, B)))) | ((~less_3(bitIndex0)) | (v127(constB47, bitIndex0) <=> v130(constB47, bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v127(constB47, B) <=> v130(constB47, B)))) | (~less_3(bitIndex0)) | (v127(constB47, bitIndex0) <=> v130(constB47, bitIndex0)))),
% 14.39/9.62 inference(rewrite,[status(thm)],[])).
% 14.39/9.62 tff(9195,plain,
% 14.39/9.62 ((~![B: $i] : ((~less_3(B)) | (v127(constB47, B) <=> v130(constB47, B)))) | ((~less_3(bitIndex0)) | (v127(constB47, bitIndex0) <=> v130(constB47, bitIndex0)))),
% 14.39/9.62 inference(quant_inst,[status(thm)],[])).
% 14.39/9.62 tff(9196,plain,
% 14.39/9.62 ((~![B: $i] : ((~less_3(B)) | (v127(constB47, B) <=> v130(constB47, B)))) | (~less_3(bitIndex0)) | (v127(constB47, bitIndex0) <=> v130(constB47, bitIndex0))),
% 14.39/9.62 inference(modus_ponens,[status(thm)],[9195, 9194])).
% 14.39/9.62 tff(9197,plain,
% 14.39/9.62 (v127(constB47, bitIndex0) <=> v130(constB47, bitIndex0)),
% 14.39/9.62 inference(unit_resolution,[status(thm)],[9196, 5004, 9157])).
% 14.39/9.62 tff(9198,plain,
% 14.39/9.62 (((~![B: $i] : ((~less_3(B)) | (v130(constB47, B) <=> b010(B)))) | ((~less_3(bitIndex0)) | (v130(constB47, bitIndex0) <=> b010(bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v130(constB47, B) <=> b010(B)))) | (~less_3(bitIndex0)) | (v130(constB47, bitIndex0) <=> b010(bitIndex0)))),
% 14.39/9.62 inference(rewrite,[status(thm)],[])).
% 14.39/9.62 tff(9199,plain,
% 14.39/9.62 ((~![B: $i] : ((~less_3(B)) | (v130(constB47, B) <=> b010(B)))) | ((~less_3(bitIndex0)) | (v130(constB47, bitIndex0) <=> b010(bitIndex0)))),
% 14.39/9.62 inference(quant_inst,[status(thm)],[])).
% 14.39/9.62 tff(9200,plain,
% 14.39/9.62 ((~![B: $i] : ((~less_3(B)) | (v130(constB47, B) <=> b010(B)))) | (~less_3(bitIndex0)) | (v130(constB47, bitIndex0) <=> b010(bitIndex0))),
% 14.39/9.62 inference(modus_ponens,[status(thm)],[9199, 9198])).
% 14.39/9.62 tff(9201,plain,
% 14.39/9.62 (v130(constB47, bitIndex0) <=> b010(bitIndex0)),
% 14.39/9.62 inference(unit_resolution,[status(thm)],[9200, 5004, 9166])).
% 14.39/9.62 tff(9202,plain,
% 14.39/9.62 ((~(v130(constB47, bitIndex0) <=> b010(bitIndex0))) | (~v130(constB47, bitIndex0)) | b010(bitIndex0)),
% 14.39/9.62 inference(tautology,[status(thm)],[])).
% 14.39/9.62 tff(9203,plain,
% 14.39/9.62 ((~(v130(constB47, bitIndex0) <=> b010(bitIndex0))) | (~v130(constB47, bitIndex0))),
% 14.39/9.62 inference(unit_resolution,[status(thm)],[9202, 5843])).
% 14.39/9.62 tff(9204,plain,
% 14.39/9.62 (~v130(constB47, bitIndex0)),
% 14.39/9.62 inference(unit_resolution,[status(thm)],[9203, 9201])).
% 14.39/9.62 tff(9205,plain,
% 14.39/9.62 ((~(v127(constB47, bitIndex0) <=> v130(constB47, bitIndex0))) | (~v127(constB47, bitIndex0)) | v130(constB47, bitIndex0)),
% 14.39/9.62 inference(tautology,[status(thm)],[])).
% 14.39/9.62 tff(9206,plain,
% 14.39/9.62 (~v127(constB47, bitIndex0)),
% 14.39/9.62 inference(unit_resolution,[status(thm)],[9205, 9204, 9197])).
% 14.39/9.62 tff(9207,plain,
% 14.39/9.62 ((~(v129(constB48, bitIndex0) <=> v127(constB47, bitIndex0))) | (~v129(constB48, bitIndex0)) | v127(constB47, bitIndex0)),
% 14.39/9.62 inference(tautology,[status(thm)],[])).
% 14.39/9.62 tff(9208,plain,
% 14.39/9.62 (~v129(constB48, bitIndex0)),
% 14.39/9.62 inference(unit_resolution,[status(thm)],[9207, 9206, 9193])).
% 14.39/9.62 tff(9209,plain,
% 14.39/9.62 ((~(v90(constB48, bitIndex0) <=> v129(constB48, bitIndex0))) | (~v90(constB48, bitIndex0)) | v129(constB48, bitIndex0)),
% 14.39/9.62 inference(tautology,[status(thm)],[])).
% 14.39/9.62 tff(9210,plain,
% 14.39/9.62 (~v90(constB48, bitIndex0)),
% 14.39/9.62 inference(unit_resolution,[status(thm)],[9209, 9208, 9189])).
% 14.39/9.62 tff(9211,plain,
% 14.39/9.62 ((~(v90(constB49, bitIndex0) <=> v90(constB48, bitIndex0))) | (~v90(constB49, bitIndex0)) | v90(constB48, bitIndex0)),
% 14.39/9.62 inference(tautology,[status(thm)],[])).
% 14.39/9.62 tff(9212,plain,
% 14.39/9.62 (~v90(constB49, bitIndex0)),
% 14.39/9.62 inference(unit_resolution,[status(thm)],[9211, 9210, 9185])).
% 14.39/9.62 tff(9213,plain,
% 14.39/9.62 (((~![B: $i] : ((~less_3(B)) | (v90(constB49, B) <=> v90(constB48, B)))) | ((~less_3(bitIndex1)) | (v90(constB49, bitIndex1) <=> v90(constB48, bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v90(constB49, B) <=> v90(constB48, B)))) | (~less_3(bitIndex1)) | (v90(constB49, bitIndex1) <=> v90(constB48, bitIndex1)))),
% 14.39/9.62 inference(rewrite,[status(thm)],[])).
% 14.39/9.62 tff(9214,plain,
% 14.39/9.62 ((~![B: $i] : ((~less_3(B)) | (v90(constB49, B) <=> v90(constB48, B)))) | ((~less_3(bitIndex1)) | (v90(constB49, bitIndex1) <=> v90(constB48, bitIndex1)))),
% 14.39/9.62 inference(quant_inst,[status(thm)],[])).
% 14.39/9.62 tff(9215,plain,
% 14.39/9.62 ((~![B: $i] : ((~less_3(B)) | (v90(constB49, B) <=> v90(constB48, B)))) | (~less_3(bitIndex1)) | (v90(constB49, bitIndex1) <=> v90(constB48, bitIndex1))),
% 14.39/9.62 inference(modus_ponens,[status(thm)],[9214, 9213])).
% 14.39/9.62 tff(9216,plain,
% 14.39/9.62 (v90(constB49, bitIndex1) <=> v90(constB48, bitIndex1)),
% 14.39/9.62 inference(unit_resolution,[status(thm)],[9215, 5017, 2769])).
% 14.39/9.62 tff(9217,plain,
% 14.39/9.62 (((~![B: $i] : ((~less_3(B)) | (v90(constB48, B) <=> v129(constB48, B)))) | ((~less_3(bitIndex1)) | (v90(constB48, bitIndex1) <=> v129(constB48, bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v90(constB48, B) <=> v129(constB48, B)))) | (~less_3(bitIndex1)) | (v90(constB48, bitIndex1) <=> v129(constB48, bitIndex1)))),
% 14.39/9.62 inference(rewrite,[status(thm)],[])).
% 14.39/9.62 tff(9218,plain,
% 14.39/9.62 ((~![B: $i] : ((~less_3(B)) | (v90(constB48, B) <=> v129(constB48, B)))) | ((~less_3(bitIndex1)) | (v90(constB48, bitIndex1) <=> v129(constB48, bitIndex1)))),
% 14.39/9.62 inference(quant_inst,[status(thm)],[])).
% 14.39/9.62 tff(9219,plain,
% 14.39/9.62 ((~![B: $i] : ((~less_3(B)) | (v90(constB48, B) <=> v129(constB48, B)))) | (~less_3(bitIndex1)) | (v90(constB48, bitIndex1) <=> v129(constB48, bitIndex1))),
% 14.39/9.62 inference(modus_ponens,[status(thm)],[9218, 9217])).
% 14.39/9.62 tff(9220,plain,
% 14.39/9.62 (v90(constB48, bitIndex1) <=> v129(constB48, bitIndex1)),
% 14.39/9.62 inference(unit_resolution,[status(thm)],[9219, 5017, 9141])).
% 14.39/9.62 tff(9221,plain,
% 14.39/9.62 (((~![B: $i] : ((~less_3(B)) | (v129(constB48, B) <=> v127(constB47, B)))) | ((~less_3(bitIndex1)) | (v129(constB48, bitIndex1) <=> v127(constB47, bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v129(constB48, B) <=> v127(constB47, B)))) | (~less_3(bitIndex1)) | (v129(constB48, bitIndex1) <=> v127(constB47, bitIndex1)))),
% 14.39/9.62 inference(rewrite,[status(thm)],[])).
% 14.39/9.62 tff(9222,plain,
% 14.39/9.62 ((~![B: $i] : ((~less_3(B)) | (v129(constB48, B) <=> v127(constB47, B)))) | ((~less_3(bitIndex1)) | (v129(constB48, bitIndex1) <=> v127(constB47, bitIndex1)))),
% 14.39/9.62 inference(quant_inst,[status(thm)],[])).
% 14.39/9.62 tff(9223,plain,
% 14.39/9.62 ((~![B: $i] : ((~less_3(B)) | (v129(constB48, B) <=> v127(constB47, B)))) | (~less_3(bitIndex1)) | (v129(constB48, bitIndex1) <=> v127(constB47, bitIndex1))),
% 14.39/9.62 inference(modus_ponens,[status(thm)],[9222, 9221])).
% 14.39/9.62 tff(9224,plain,
% 14.39/9.62 (v129(constB48, bitIndex1) <=> v127(constB47, bitIndex1)),
% 14.39/9.62 inference(unit_resolution,[status(thm)],[9223, 5017, 9149])).
% 14.39/9.62 tff(9225,plain,
% 14.39/9.62 (((~![B: $i] : ((~less_3(B)) | (v127(constB47, B) <=> v130(constB47, B)))) | ((~less_3(bitIndex1)) | (v127(constB47, bitIndex1) <=> v130(constB47, bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v127(constB47, B) <=> v130(constB47, B)))) | (~less_3(bitIndex1)) | (v127(constB47, bitIndex1) <=> v130(constB47, bitIndex1)))),
% 14.39/9.62 inference(rewrite,[status(thm)],[])).
% 14.39/9.62 tff(9226,plain,
% 14.39/9.62 ((~![B: $i] : ((~less_3(B)) | (v127(constB47, B) <=> v130(constB47, B)))) | ((~less_3(bitIndex1)) | (v127(constB47, bitIndex1) <=> v130(constB47, bitIndex1)))),
% 14.39/9.62 inference(quant_inst,[status(thm)],[])).
% 14.39/9.62 tff(9227,plain,
% 14.39/9.62 ((~![B: $i] : ((~less_3(B)) | (v127(constB47, B) <=> v130(constB47, B)))) | (~less_3(bitIndex1)) | (v127(constB47, bitIndex1) <=> v130(constB47, bitIndex1))),
% 14.39/9.62 inference(modus_ponens,[status(thm)],[9226, 9225])).
% 14.39/9.62 tff(9228,plain,
% 14.39/9.62 (v127(constB47, bitIndex1) <=> v130(constB47, bitIndex1)),
% 14.39/9.62 inference(unit_resolution,[status(thm)],[9227, 5017, 9157])).
% 14.39/9.62 tff(9229,plain,
% 14.39/9.62 (((~![B: $i] : ((~less_3(B)) | (v130(constB47, B) <=> b010(B)))) | ((~less_3(bitIndex1)) | (v130(constB47, bitIndex1) <=> b010(bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v130(constB47, B) <=> b010(B)))) | (~less_3(bitIndex1)) | (v130(constB47, bitIndex1) <=> b010(bitIndex1)))),
% 14.39/9.62 inference(rewrite,[status(thm)],[])).
% 14.39/9.62 tff(9230,plain,
% 14.39/9.62 ((~![B: $i] : ((~less_3(B)) | (v130(constB47, B) <=> b010(B)))) | ((~less_3(bitIndex1)) | (v130(constB47, bitIndex1) <=> b010(bitIndex1)))),
% 14.39/9.62 inference(quant_inst,[status(thm)],[])).
% 14.39/9.62 tff(9231,plain,
% 14.39/9.62 ((~![B: $i] : ((~less_3(B)) | (v130(constB47, B) <=> b010(B)))) | (~less_3(bitIndex1)) | (v130(constB47, bitIndex1) <=> b010(bitIndex1))),
% 14.39/9.62 inference(modus_ponens,[status(thm)],[9230, 9229])).
% 14.39/9.62 tff(9232,plain,
% 14.39/9.62 (v130(constB47, bitIndex1) <=> b010(bitIndex1)),
% 14.39/9.62 inference(unit_resolution,[status(thm)],[9231, 5017, 9166])).
% 14.39/9.62 tff(9233,plain,
% 14.39/9.62 ((~(v130(constB47, bitIndex1) <=> b010(bitIndex1))) | v130(constB47, bitIndex1) | (~b010(bitIndex1))),
% 14.39/9.62 inference(tautology,[status(thm)],[])).
% 14.39/9.62 tff(9234,plain,
% 14.39/9.62 ((~(v130(constB47, bitIndex1) <=> b010(bitIndex1))) | v130(constB47, bitIndex1)),
% 14.39/9.62 inference(unit_resolution,[status(thm)],[9233, 5877])).
% 14.39/9.62 tff(9235,plain,
% 14.39/9.62 (v130(constB47, bitIndex1)),
% 14.39/9.62 inference(unit_resolution,[status(thm)],[9234, 9232])).
% 14.39/9.62 tff(9236,plain,
% 14.39/9.62 ((~(v127(constB47, bitIndex1) <=> v130(constB47, bitIndex1))) | v127(constB47, bitIndex1) | (~v130(constB47, bitIndex1))),
% 14.39/9.62 inference(tautology,[status(thm)],[])).
% 14.39/9.62 tff(9237,plain,
% 14.39/9.62 (v127(constB47, bitIndex1)),
% 14.39/9.62 inference(unit_resolution,[status(thm)],[9236, 9235, 9228])).
% 14.39/9.62 tff(9238,plain,
% 14.39/9.62 ((~(v129(constB48, bitIndex1) <=> v127(constB47, bitIndex1))) | v129(constB48, bitIndex1) | (~v127(constB47, bitIndex1))),
% 14.39/9.62 inference(tautology,[status(thm)],[])).
% 14.39/9.62 tff(9239,plain,
% 14.39/9.62 (v129(constB48, bitIndex1)),
% 14.39/9.62 inference(unit_resolution,[status(thm)],[9238, 9237, 9224])).
% 14.39/9.62 tff(9240,plain,
% 14.39/9.62 ((~(v90(constB48, bitIndex1) <=> v129(constB48, bitIndex1))) | v90(constB48, bitIndex1) | (~v129(constB48, bitIndex1))),
% 14.39/9.62 inference(tautology,[status(thm)],[])).
% 14.39/9.62 tff(9241,plain,
% 14.39/9.62 (v90(constB48, bitIndex1)),
% 14.39/9.62 inference(unit_resolution,[status(thm)],[9240, 9239, 9220])).
% 14.39/9.62 tff(9242,plain,
% 14.39/9.62 ((~(v90(constB49, bitIndex1) <=> v90(constB48, bitIndex1))) | v90(constB49, bitIndex1) | (~v90(constB48, bitIndex1))),
% 14.39/9.62 inference(tautology,[status(thm)],[])).
% 14.39/9.62 tff(9243,plain,
% 14.39/9.62 (v90(constB49, bitIndex1)),
% 14.39/9.62 inference(unit_resolution,[status(thm)],[9242, 9241, 9216])).
% 14.39/9.62 tff(9244,plain,
% 14.39/9.62 ((~(v90(constB49, bitIndex2) | (~v90(constB49, bitIndex1)) | v90(constB49, bitIndex0))) | v90(constB49, bitIndex2) | (~v90(constB49, bitIndex1)) | v90(constB49, bitIndex0)),
% 14.39/9.62 inference(tautology,[status(thm)],[])).
% 14.39/9.62 tff(9245,plain,
% 14.39/9.62 (~(v90(constB49, bitIndex2) | (~v90(constB49, bitIndex1)) | v90(constB49, bitIndex0))),
% 14.39/9.62 inference(unit_resolution,[status(thm)],[9244, 9243, 9212, 9181])).
% 14.39/9.62 tff(9246,plain,
% 14.39/9.62 ((~(v121(constB49) <=> (~(v90(constB49, bitIndex2) | (~v90(constB49, bitIndex1)) | v90(constB49, bitIndex0))))) | v121(constB49) | (v90(constB49, bitIndex2) | (~v90(constB49, bitIndex1)) | v90(constB49, bitIndex0))),
% 14.39/9.62 inference(tautology,[status(thm)],[])).
% 14.39/9.62 tff(9247,plain,
% 14.39/9.62 (v121(constB49)),
% 14.39/9.62 inference(unit_resolution,[status(thm)],[9246, 9245, 2741])).
% 14.39/9.62 tff(9248,plain,
% 14.39/9.62 ((v118(constB49) | v121(constB49)) | (~v121(constB49))),
% 14.39/9.62 inference(tautology,[status(thm)],[])).
% 14.39/9.62 tff(9249,plain,
% 14.39/9.62 (v118(constB49) | v121(constB49)),
% 14.39/9.62 inference(unit_resolution,[status(thm)],[9248, 9247])).
% 14.39/9.62 tff(9250,plain,
% 14.39/9.62 ((~(v117(constB49) <=> (v118(constB49) | v121(constB49)))) | v117(constB49) | (~(v118(constB49) | v121(constB49)))),
% 14.39/9.63 inference(tautology,[status(thm)],[])).
% 14.39/9.63 tff(9251,plain,
% 14.39/9.63 (v117(constB49)),
% 14.39/9.63 inference(unit_resolution,[status(thm)],[9250, 9249, 2734])).
% 14.39/9.63 tff(9252,plain,
% 14.39/9.63 ((v117(constB49) | v122(constB49)) | (~v117(constB49))),
% 14.39/9.63 inference(tautology,[status(thm)],[])).
% 14.39/9.63 tff(9253,plain,
% 14.39/9.63 (v117(constB49) | v122(constB49)),
% 14.39/9.63 inference(unit_resolution,[status(thm)],[9252, 9251])).
% 14.39/9.63 tff(9254,plain,
% 14.39/9.63 ((~(v116(constB49) <=> (v117(constB49) | v122(constB49)))) | v116(constB49) | (~(v117(constB49) | v122(constB49)))),
% 14.39/9.63 inference(tautology,[status(thm)],[])).
% 14.39/9.63 tff(9255,plain,
% 14.39/9.63 (v116(constB49)),
% 14.39/9.63 inference(unit_resolution,[status(thm)],[9254, 9253, 2732])).
% 14.39/9.63 tff(9256,plain,
% 14.39/9.63 ((v116(constB49) | v123(constB49)) | (~v116(constB49))),
% 14.39/9.63 inference(tautology,[status(thm)],[])).
% 14.39/9.63 tff(9257,plain,
% 14.39/9.63 (v116(constB49) | v123(constB49)),
% 14.39/9.63 inference(unit_resolution,[status(thm)],[9256, 9255])).
% 14.39/9.63 tff(9258,plain,
% 14.39/9.63 ((~(v115(constB49) <=> (v116(constB49) | v123(constB49)))) | v115(constB49) | (~(v116(constB49) | v123(constB49)))),
% 14.39/9.63 inference(tautology,[status(thm)],[])).
% 14.39/9.63 tff(9259,plain,
% 14.39/9.63 (v115(constB49)),
% 14.39/9.63 inference(unit_resolution,[status(thm)],[9258, 9257, 2730])).
% 14.39/9.63 tff(9260,plain,
% 14.39/9.63 ((v115(constB49) | v124(constB49)) | (~v115(constB49))),
% 14.39/9.63 inference(tautology,[status(thm)],[])).
% 14.39/9.63 tff(9261,plain,
% 14.39/9.63 (v115(constB49) | v124(constB49)),
% 14.39/9.63 inference(unit_resolution,[status(thm)],[9260, 9259])).
% 14.39/9.63 tff(9262,plain,
% 14.39/9.63 ((~(v114(constB49) <=> (v115(constB49) | v124(constB49)))) | v114(constB49) | (~(v115(constB49) | v124(constB49)))),
% 14.39/9.63 inference(tautology,[status(thm)],[])).
% 14.39/9.63 tff(9263,plain,
% 14.39/9.63 (v114(constB49)),
% 14.39/9.63 inference(unit_resolution,[status(thm)],[9262, 9261, 2728])).
% 14.39/9.63 tff(9264,plain,
% 14.39/9.63 ((v114(constB49) | v125(constB49)) | (~v114(constB49))),
% 14.39/9.63 inference(tautology,[status(thm)],[])).
% 14.39/9.63 tff(9265,plain,
% 14.39/9.63 (v114(constB49) | v125(constB49)),
% 14.39/9.63 inference(unit_resolution,[status(thm)],[9264, 9263])).
% 14.39/9.63 tff(9266,plain,
% 14.39/9.63 ((~(v113(constB49) <=> (v114(constB49) | v125(constB49)))) | v113(constB49) | (~(v114(constB49) | v125(constB49)))),
% 14.39/9.63 inference(tautology,[status(thm)],[])).
% 14.39/9.63 tff(9267,plain,
% 14.39/9.63 (v113(constB49)),
% 14.39/9.63 inference(unit_resolution,[status(thm)],[9266, 9265, 2726])).
% 14.39/9.63 tff(9268,plain,
% 14.39/9.63 ((~![VarCurr: $i] : ((~v126(VarCurr)) <=> v111(VarCurr))) | ((~v126(constB49)) <=> v111(constB49))),
% 14.39/9.63 inference(quant_inst,[status(thm)],[])).
% 14.39/9.63 tff(9269,plain,
% 14.39/9.63 ((~v126(constB49)) <=> v111(constB49)),
% 14.39/9.63 inference(unit_resolution,[status(thm)],[9268, 5074])).
% 14.39/9.63 tff(9270,plain,
% 14.39/9.63 ((~![VarCurr: $i] : (v111(VarCurr) <=> v26(VarCurr))) | (v111(constB49) <=> v26(constB49))),
% 14.39/9.63 inference(quant_inst,[status(thm)],[])).
% 14.39/9.63 tff(9271,plain,
% 14.39/9.63 (v111(constB49) <=> v26(constB49)),
% 14.39/9.63 inference(unit_resolution,[status(thm)],[9270, 5086])).
% 14.39/9.63 tff(9272,plain,
% 14.39/9.63 ((~![VarCurr: $i] : (~v26(VarCurr))) | (~v26(constB49))),
% 14.39/9.63 inference(quant_inst,[status(thm)],[])).
% 14.39/9.63 tff(9273,plain,
% 14.39/9.63 (~v26(constB49)),
% 14.39/9.63 inference(unit_resolution,[status(thm)],[9272, 5098])).
% 14.39/9.63 tff(9274,plain,
% 14.39/9.63 ((~(v111(constB49) <=> v26(constB49))) | (~v111(constB49)) | v26(constB49)),
% 14.39/9.63 inference(tautology,[status(thm)],[])).
% 14.39/9.63 tff(9275,plain,
% 14.39/9.63 ((~(v111(constB49) <=> v26(constB49))) | (~v111(constB49))),
% 14.39/9.63 inference(unit_resolution,[status(thm)],[9274, 9273])).
% 14.39/9.63 tff(9276,plain,
% 14.39/9.63 (~v111(constB49)),
% 14.39/9.63 inference(unit_resolution,[status(thm)],[9275, 9271])).
% 14.39/9.63 tff(9277,plain,
% 14.39/9.63 ((~((~v126(constB49)) <=> v111(constB49))) | v126(constB49) | v111(constB49)),
% 14.39/9.63 inference(tautology,[status(thm)],[])).
% 14.39/9.63 tff(9278,plain,
% 14.39/9.63 ((~((~v126(constB49)) <=> v111(constB49))) | v126(constB49)),
% 14.39/9.63 inference(unit_resolution,[status(thm)],[9277, 9276])).
% 14.39/9.63 tff(9279,plain,
% 14.39/9.63 (v126(constB49)),
% 14.39/9.63 inference(unit_resolution,[status(thm)],[9278, 9269])).
% 14.39/9.63 tff(9280,plain,
% 14.39/9.63 ((~((~v113(constB49)) | (~v126(constB49)))) | (~v113(constB49)) | (~v126(constB49))),
% 14.39/9.63 inference(tautology,[status(thm)],[])).
% 14.39/9.63 tff(9281,plain,
% 14.39/9.63 ((~((~v113(constB49)) | (~v126(constB49)))) | (~v113(constB49))),
% 14.39/9.63 inference(unit_resolution,[status(thm)],[9280, 9279])).
% 14.39/9.63 tff(9282,plain,
% 14.39/9.63 (~((~v113(constB49)) | (~v126(constB49)))),
% 14.39/9.63 inference(unit_resolution,[status(thm)],[9281, 9267])).
% 14.39/9.63 tff(9283,plain,
% 14.39/9.63 ((~(v112(constB49) <=> (~((~v113(constB49)) | (~v126(constB49)))))) | v112(constB49) | ((~v113(constB49)) | (~v126(constB49)))),
% 14.39/9.63 inference(tautology,[status(thm)],[])).
% 14.39/9.63 tff(9284,plain,
% 14.39/9.63 (v112(constB49)),
% 14.39/9.63 inference(unit_resolution,[status(thm)],[9283, 9282, 2724])).
% 14.39/9.63 tff(9285,plain,
% 14.39/9.63 ((v111(constB49) | v112(constB49)) | (~v112(constB49))),
% 14.39/9.63 inference(tautology,[status(thm)],[])).
% 14.39/9.63 tff(9286,plain,
% 14.39/9.63 (v111(constB49) | v112(constB49)),
% 14.39/9.63 inference(unit_resolution,[status(thm)],[9285, 9284])).
% 14.39/9.63 tff(9287,plain,
% 14.39/9.63 ((~(v108(constB49) <=> (v111(constB49) | v112(constB49)))) | v108(constB49) | (~(v111(constB49) | v112(constB49)))),
% 14.39/9.63 inference(tautology,[status(thm)],[])).
% 14.39/9.63 tff(9288,plain,
% 14.39/9.63 (v108(constB49)),
% 14.39/9.63 inference(unit_resolution,[status(thm)],[9287, 9286, 2722])).
% 14.39/9.63 tff(9289,plain,
% 14.39/9.63 ((~(v110(constB50) <=> v108(constB49))) | v110(constB50) | (~v108(constB49))),
% 14.39/9.63 inference(tautology,[status(thm)],[])).
% 14.39/9.63 tff(9290,plain,
% 14.39/9.63 (v110(constB50)),
% 14.39/9.63 inference(unit_resolution,[status(thm)],[9289, 9288, 2720])).
% 14.39/9.63 tff(9291,plain,
% 14.39/9.63 ((~((~v101(constB50)) | (~v110(constB50)))) | (~v101(constB50)) | (~v110(constB50))),
% 14.39/9.63 inference(tautology,[status(thm)],[])).
% 14.39/9.63 tff(9292,plain,
% 14.39/9.63 (~((~v101(constB50)) | (~v110(constB50)))),
% 14.39/9.63 inference(unit_resolution,[status(thm)],[9291, 9290, 2716])).
% 14.39/9.63 tff(9293,plain,
% 14.39/9.63 ((~(v100(constB50) <=> (~((~v101(constB50)) | (~v110(constB50)))))) | v100(constB50) | ((~v101(constB50)) | (~v110(constB50)))),
% 14.39/9.63 inference(tautology,[status(thm)],[])).
% 14.39/9.63 tff(9294,plain,
% 14.39/9.63 (v100(constB50)),
% 14.39/9.63 inference(unit_resolution,[status(thm)],[9293, 9292, 2685])).
% 14.39/9.63 tff(9295,plain,
% 14.39/9.63 (((~![VarNext: $i] : ((~v100(VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v129(VarNext, B))))) | ((~v100(constB50)) | ![B: $i] : ((~less_3(B)) | (v90(constB50, B) <=> v129(constB50, B))))) <=> ((~![VarNext: $i] : ((~v100(VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v129(VarNext, B))))) | (~v100(constB50)) | ![B: $i] : ((~less_3(B)) | (v90(constB50, B) <=> v129(constB50, B))))),
% 14.39/9.63 inference(rewrite,[status(thm)],[])).
% 14.39/9.63 tff(9296,plain,
% 14.39/9.63 ((~![VarNext: $i] : ((~v100(VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v129(VarNext, B))))) | ((~v100(constB50)) | ![B: $i] : ((~less_3(B)) | (v90(constB50, B) <=> v129(constB50, B))))),
% 14.39/9.63 inference(quant_inst,[status(thm)],[])).
% 14.39/9.63 tff(9297,plain,
% 14.39/9.63 ((~![VarNext: $i] : ((~v100(VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v129(VarNext, B))))) | (~v100(constB50)) | ![B: $i] : ((~less_3(B)) | (v90(constB50, B) <=> v129(constB50, B)))),
% 14.39/9.63 inference(modus_ponens,[status(thm)],[9296, 9295])).
% 14.39/9.63 tff(9298,plain,
% 14.39/9.63 ((~v100(constB50)) | ![B: $i] : ((~less_3(B)) | (v90(constB50, B) <=> v129(constB50, B)))),
% 14.39/9.63 inference(unit_resolution,[status(thm)],[9297, 5134])).
% 14.39/9.63 tff(9299,plain,
% 14.39/9.63 (![B: $i] : ((~less_3(B)) | (v90(constB50, B) <=> v129(constB50, B)))),
% 14.39/9.63 inference(unit_resolution,[status(thm)],[9298, 9294])).
% 14.39/9.63 tff(9300,plain,
% 14.39/9.63 (((~![B: $i] : ((~less_3(B)) | (v90(constB50, B) <=> v129(constB50, B)))) | ((~less_3(bitIndex2)) | (v90(constB50, bitIndex2) <=> v129(constB50, bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v90(constB50, B) <=> v129(constB50, B)))) | (~less_3(bitIndex2)) | (v90(constB50, bitIndex2) <=> v129(constB50, bitIndex2)))),
% 14.39/9.63 inference(rewrite,[status(thm)],[])).
% 14.39/9.63 tff(9301,plain,
% 14.39/9.63 ((~![B: $i] : ((~less_3(B)) | (v90(constB50, B) <=> v129(constB50, B)))) | ((~less_3(bitIndex2)) | (v90(constB50, bitIndex2) <=> v129(constB50, bitIndex2)))),
% 14.39/9.63 inference(quant_inst,[status(thm)],[])).
% 14.39/9.63 tff(9302,plain,
% 14.39/9.63 ((~![B: $i] : ((~less_3(B)) | (v90(constB50, B) <=> v129(constB50, B)))) | (~less_3(bitIndex2)) | (v90(constB50, bitIndex2) <=> v129(constB50, bitIndex2))),
% 14.39/9.63 inference(modus_ponens,[status(thm)],[9301, 9300])).
% 14.39/9.63 tff(9303,plain,
% 14.39/9.63 (v90(constB50, bitIndex2) <=> v129(constB50, bitIndex2)),
% 14.39/9.63 inference(unit_resolution,[status(thm)],[9302, 413, 9299])).
% 14.39/9.63 tff(9304,plain,
% 14.39/9.63 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v129(VarNext, B) <=> v127(VarCurr, B))))) | ((~nextState(constB49, constB50)) | ![B: $i] : ((~less_3(B)) | (v129(constB50, B) <=> v127(constB49, B))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v129(VarNext, B) <=> v127(VarCurr, B))))) | (~nextState(constB49, constB50)) | ![B: $i] : ((~less_3(B)) | (v129(constB50, B) <=> v127(constB49, B))))),
% 14.39/9.63 inference(rewrite,[status(thm)],[])).
% 14.39/9.63 tff(9305,plain,
% 14.39/9.63 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v129(VarNext, B) <=> v127(VarCurr, B))))) | ((~nextState(constB49, constB50)) | ![B: $i] : ((~less_3(B)) | (v129(constB50, B) <=> v127(constB49, B))))),
% 14.39/9.63 inference(quant_inst,[status(thm)],[])).
% 14.39/9.63 tff(9306,plain,
% 14.39/9.63 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v129(VarNext, B) <=> v127(VarCurr, B))))) | (~nextState(constB49, constB50)) | ![B: $i] : ((~less_3(B)) | (v129(constB50, B) <=> v127(constB49, B)))),
% 14.39/9.63 inference(modus_ponens,[status(thm)],[9305, 9304])).
% 14.39/9.63 tff(9307,plain,
% 14.39/9.63 (![B: $i] : ((~less_3(B)) | (v129(constB50, B) <=> v127(constB49, B)))),
% 14.39/9.63 inference(unit_resolution,[status(thm)],[9306, 2681, 5156])).
% 14.39/9.63 tff(9308,plain,
% 14.39/9.63 (((~![B: $i] : ((~less_3(B)) | (v129(constB50, B) <=> v127(constB49, B)))) | ((~less_3(bitIndex2)) | (v129(constB50, bitIndex2) <=> v127(constB49, bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v129(constB50, B) <=> v127(constB49, B)))) | (~less_3(bitIndex2)) | (v129(constB50, bitIndex2) <=> v127(constB49, bitIndex2)))),
% 14.39/9.63 inference(rewrite,[status(thm)],[])).
% 14.39/9.63 tff(9309,plain,
% 14.39/9.63 ((~![B: $i] : ((~less_3(B)) | (v129(constB50, B) <=> v127(constB49, B)))) | ((~less_3(bitIndex2)) | (v129(constB50, bitIndex2) <=> v127(constB49, bitIndex2)))),
% 14.39/9.63 inference(quant_inst,[status(thm)],[])).
% 14.39/9.63 tff(9310,plain,
% 14.39/9.63 ((~![B: $i] : ((~less_3(B)) | (v129(constB50, B) <=> v127(constB49, B)))) | (~less_3(bitIndex2)) | (v129(constB50, bitIndex2) <=> v127(constB49, bitIndex2))),
% 14.39/9.63 inference(modus_ponens,[status(thm)],[9309, 9308])).
% 14.39/9.63 tff(9311,plain,
% 14.39/9.63 (v129(constB50, bitIndex2) <=> v127(constB49, bitIndex2)),
% 14.39/9.63 inference(unit_resolution,[status(thm)],[9310, 413, 9307])).
% 14.39/9.63 tff(9312,plain,
% 14.39/9.63 (((~![VarCurr: $i] : (v111(VarCurr) | ![B: $i] : ((~less_3(B)) | (v127(VarCurr, B) <=> v130(VarCurr, B))))) | (v111(constB49) | ![B: $i] : ((~less_3(B)) | (v127(constB49, B) <=> v130(constB49, B))))) <=> ((~![VarCurr: $i] : (v111(VarCurr) | ![B: $i] : ((~less_3(B)) | (v127(VarCurr, B) <=> v130(VarCurr, B))))) | v111(constB49) | ![B: $i] : ((~less_3(B)) | (v127(constB49, B) <=> v130(constB49, B))))),
% 14.39/9.63 inference(rewrite,[status(thm)],[])).
% 14.39/9.63 tff(9313,plain,
% 14.39/9.63 ((~![VarCurr: $i] : (v111(VarCurr) | ![B: $i] : ((~less_3(B)) | (v127(VarCurr, B) <=> v130(VarCurr, B))))) | (v111(constB49) | ![B: $i] : ((~less_3(B)) | (v127(constB49, B) <=> v130(constB49, B))))),
% 14.39/9.63 inference(quant_inst,[status(thm)],[])).
% 14.39/9.63 tff(9314,plain,
% 14.39/9.63 ((~![VarCurr: $i] : (v111(VarCurr) | ![B: $i] : ((~less_3(B)) | (v127(VarCurr, B) <=> v130(VarCurr, B))))) | v111(constB49) | ![B: $i] : ((~less_3(B)) | (v127(constB49, B) <=> v130(constB49, B)))),
% 14.39/9.63 inference(modus_ponens,[status(thm)],[9313, 9312])).
% 14.39/9.63 tff(9315,plain,
% 14.39/9.63 (![B: $i] : ((~less_3(B)) | (v127(constB49, B) <=> v130(constB49, B)))),
% 14.39/9.63 inference(unit_resolution,[status(thm)],[9314, 5177, 9276])).
% 14.39/9.63 tff(9316,plain,
% 14.39/9.63 (((~![B: $i] : ((~less_3(B)) | (v127(constB49, B) <=> v130(constB49, B)))) | ((~less_3(bitIndex2)) | (v127(constB49, bitIndex2) <=> v130(constB49, bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v127(constB49, B) <=> v130(constB49, B)))) | (~less_3(bitIndex2)) | (v127(constB49, bitIndex2) <=> v130(constB49, bitIndex2)))),
% 14.39/9.63 inference(rewrite,[status(thm)],[])).
% 14.39/9.63 tff(9317,plain,
% 14.39/9.63 ((~![B: $i] : ((~less_3(B)) | (v127(constB49, B) <=> v130(constB49, B)))) | ((~less_3(bitIndex2)) | (v127(constB49, bitIndex2) <=> v130(constB49, bitIndex2)))),
% 14.39/9.63 inference(quant_inst,[status(thm)],[])).
% 14.39/9.63 tff(9318,plain,
% 14.39/9.63 ((~![B: $i] : ((~less_3(B)) | (v127(constB49, B) <=> v130(constB49, B)))) | (~less_3(bitIndex2)) | (v127(constB49, bitIndex2) <=> v130(constB49, bitIndex2))),
% 14.39/9.63 inference(modus_ponens,[status(thm)],[9317, 9316])).
% 14.39/9.63 tff(9319,plain,
% 14.39/9.63 (v127(constB49, bitIndex2) <=> v130(constB49, bitIndex2)),
% 14.39/9.63 inference(unit_resolution,[status(thm)],[9318, 413, 9315])).
% 14.39/9.63 tff(9320,plain,
% 14.39/9.63 (((~![VarCurr: $i] : ((~v121(VarCurr)) | ![B: $i] : ((~less_3(B)) | (v130(VarCurr, B) <=> b011(B))))) | ((~v121(constB49)) | ![B: $i] : ((~less_3(B)) | (v130(constB49, B) <=> b011(B))))) <=> ((~![VarCurr: $i] : ((~v121(VarCurr)) | ![B: $i] : ((~less_3(B)) | (v130(VarCurr, B) <=> b011(B))))) | (~v121(constB49)) | ![B: $i] : ((~less_3(B)) | (v130(constB49, B) <=> b011(B))))),
% 14.39/9.63 inference(rewrite,[status(thm)],[])).
% 14.39/9.63 tff(9321,plain,
% 14.39/9.63 ((~![VarCurr: $i] : ((~v121(VarCurr)) | ![B: $i] : ((~less_3(B)) | (v130(VarCurr, B) <=> b011(B))))) | ((~v121(constB49)) | ![B: $i] : ((~less_3(B)) | (v130(constB49, B) <=> b011(B))))),
% 14.39/9.63 inference(quant_inst,[status(thm)],[])).
% 14.39/9.63 tff(9322,plain,
% 14.39/9.63 ((~![VarCurr: $i] : ((~v121(VarCurr)) | ![B: $i] : ((~less_3(B)) | (v130(VarCurr, B) <=> b011(B))))) | (~v121(constB49)) | ![B: $i] : ((~less_3(B)) | (v130(constB49, B) <=> b011(B)))),
% 14.39/9.63 inference(modus_ponens,[status(thm)],[9321, 9320])).
% 14.39/9.63 tff(9323,plain,
% 14.39/9.63 ((~v121(constB49)) | ![B: $i] : ((~less_3(B)) | (v130(constB49, B) <=> b011(B)))),
% 14.39/9.63 inference(unit_resolution,[status(thm)],[9322, 5977])).
% 14.39/9.63 tff(9324,plain,
% 14.39/9.63 (![B: $i] : ((~less_3(B)) | (v130(constB49, B) <=> b011(B)))),
% 14.39/9.63 inference(unit_resolution,[status(thm)],[9323, 9247])).
% 14.39/9.63 tff(9325,plain,
% 14.39/9.63 (((~![B: $i] : ((~less_3(B)) | (v130(constB49, B) <=> b011(B)))) | ((~less_3(bitIndex2)) | (v130(constB49, bitIndex2) <=> b011(bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v130(constB49, B) <=> b011(B)))) | (~less_3(bitIndex2)) | (v130(constB49, bitIndex2) <=> b011(bitIndex2)))),
% 14.39/9.63 inference(rewrite,[status(thm)],[])).
% 14.39/9.63 tff(9326,plain,
% 14.39/9.63 ((~![B: $i] : ((~less_3(B)) | (v130(constB49, B) <=> b011(B)))) | ((~less_3(bitIndex2)) | (v130(constB49, bitIndex2) <=> b011(bitIndex2)))),
% 14.39/9.63 inference(quant_inst,[status(thm)],[])).
% 14.39/9.63 tff(9327,plain,
% 14.39/9.63 ((~![B: $i] : ((~less_3(B)) | (v130(constB49, B) <=> b011(B)))) | (~less_3(bitIndex2)) | (v130(constB49, bitIndex2) <=> b011(bitIndex2))),
% 14.39/9.63 inference(modus_ponens,[status(thm)],[9326, 9325])).
% 14.39/9.63 tff(9328,plain,
% 14.39/9.63 (v130(constB49, bitIndex2) <=> b011(bitIndex2)),
% 14.39/9.63 inference(unit_resolution,[status(thm)],[9327, 413, 9324])).
% 14.39/9.63 tff(9329,plain,
% 14.39/9.63 ((~(v130(constB49, bitIndex2) <=> b011(bitIndex2))) | (~v130(constB49, bitIndex2)) | b011(bitIndex2)),
% 14.39/9.63 inference(tautology,[status(thm)],[])).
% 14.39/9.63 tff(9330,plain,
% 14.39/9.63 ((~(v130(constB49, bitIndex2) <=> b011(bitIndex2))) | (~v130(constB49, bitIndex2))),
% 14.39/9.63 inference(unit_resolution,[status(thm)],[9329, 5989])).
% 14.39/9.63 tff(9331,plain,
% 14.39/9.63 (~v130(constB49, bitIndex2)),
% 14.39/9.63 inference(unit_resolution,[status(thm)],[9330, 9328])).
% 14.39/9.63 tff(9332,plain,
% 14.39/9.63 ((~(v127(constB49, bitIndex2) <=> v130(constB49, bitIndex2))) | (~v127(constB49, bitIndex2)) | v130(constB49, bitIndex2)),
% 14.39/9.63 inference(tautology,[status(thm)],[])).
% 14.39/9.63 tff(9333,plain,
% 14.39/9.63 (~v127(constB49, bitIndex2)),
% 14.39/9.63 inference(unit_resolution,[status(thm)],[9332, 9331, 9319])).
% 14.39/9.63 tff(9334,plain,
% 14.39/9.63 ((~(v129(constB50, bitIndex2) <=> v127(constB49, bitIndex2))) | (~v129(constB50, bitIndex2)) | v127(constB49, bitIndex2)),
% 14.39/9.63 inference(tautology,[status(thm)],[])).
% 14.39/9.63 tff(9335,plain,
% 14.39/9.63 (~v129(constB50, bitIndex2)),
% 14.39/9.63 inference(unit_resolution,[status(thm)],[9334, 9333, 9311])).
% 14.39/9.63 tff(9336,plain,
% 14.39/9.63 ((~(v90(constB50, bitIndex2) <=> v129(constB50, bitIndex2))) | (~v90(constB50, bitIndex2)) | v129(constB50, bitIndex2)),
% 14.39/9.63 inference(tautology,[status(thm)],[])).
% 14.39/9.63 tff(9337,plain,
% 14.39/9.63 (~v90(constB50, bitIndex2)),
% 14.39/9.63 inference(unit_resolution,[status(thm)],[9336, 9335, 9303])).
% 14.39/9.63 tff(9338,plain,
% 14.39/9.63 ((~(v90(constB51, bitIndex2) <=> v90(constB50, bitIndex2))) | (~v90(constB51, bitIndex2)) | v90(constB50, bitIndex2)),
% 14.39/9.63 inference(tautology,[status(thm)],[])).
% 14.39/9.63 tff(9339,plain,
% 14.39/9.63 (~v90(constB51, bitIndex2)),
% 14.39/9.63 inference(unit_resolution,[status(thm)],[9338, 9337, 2678])).
% 14.39/9.63 tff(9340,plain,
% 14.39/9.63 (((~![B: $i] : ((~less_3(B)) | (v90(constB51, B) <=> v90(constB50, B)))) | ((~less_3(bitIndex0)) | (v90(constB51, bitIndex0) <=> v90(constB50, bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v90(constB51, B) <=> v90(constB50, B)))) | (~less_3(bitIndex0)) | (v90(constB51, bitIndex0) <=> v90(constB50, bitIndex0)))),
% 14.39/9.63 inference(rewrite,[status(thm)],[])).
% 14.39/9.63 tff(9341,plain,
% 14.39/9.63 ((~![B: $i] : ((~less_3(B)) | (v90(constB51, B) <=> v90(constB50, B)))) | ((~less_3(bitIndex0)) | (v90(constB51, bitIndex0) <=> v90(constB50, bitIndex0)))),
% 14.39/9.63 inference(quant_inst,[status(thm)],[])).
% 14.39/9.63 tff(9342,plain,
% 14.39/9.63 ((~![B: $i] : ((~less_3(B)) | (v90(constB51, B) <=> v90(constB50, B)))) | (~less_3(bitIndex0)) | (v90(constB51, bitIndex0) <=> v90(constB50, bitIndex0))),
% 14.39/9.63 inference(modus_ponens,[status(thm)],[9341, 9340])).
% 14.39/9.63 tff(9343,plain,
% 14.39/9.63 (v90(constB51, bitIndex0) <=> v90(constB50, bitIndex0)),
% 14.39/9.63 inference(unit_resolution,[status(thm)],[9342, 5004, 2674])).
% 14.39/9.63 tff(9344,plain,
% 14.39/9.63 (((~![B: $i] : ((~less_3(B)) | (v90(constB50, B) <=> v129(constB50, B)))) | ((~less_3(bitIndex0)) | (v90(constB50, bitIndex0) <=> v129(constB50, bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v90(constB50, B) <=> v129(constB50, B)))) | (~less_3(bitIndex0)) | (v90(constB50, bitIndex0) <=> v129(constB50, bitIndex0)))),
% 14.39/9.63 inference(rewrite,[status(thm)],[])).
% 14.39/9.63 tff(9345,plain,
% 14.39/9.63 ((~![B: $i] : ((~less_3(B)) | (v90(constB50, B) <=> v129(constB50, B)))) | ((~less_3(bitIndex0)) | (v90(constB50, bitIndex0) <=> v129(constB50, bitIndex0)))),
% 14.39/9.63 inference(quant_inst,[status(thm)],[])).
% 14.39/9.63 tff(9346,plain,
% 14.39/9.63 ((~![B: $i] : ((~less_3(B)) | (v90(constB50, B) <=> v129(constB50, B)))) | (~less_3(bitIndex0)) | (v90(constB50, bitIndex0) <=> v129(constB50, bitIndex0))),
% 14.39/9.63 inference(modus_ponens,[status(thm)],[9345, 9344])).
% 14.39/9.63 tff(9347,plain,
% 14.39/9.63 (v90(constB50, bitIndex0) <=> v129(constB50, bitIndex0)),
% 14.39/9.63 inference(unit_resolution,[status(thm)],[9346, 5004, 9299])).
% 14.39/9.63 tff(9348,plain,
% 14.39/9.63 (((~![B: $i] : ((~less_3(B)) | (v129(constB50, B) <=> v127(constB49, B)))) | ((~less_3(bitIndex0)) | (v129(constB50, bitIndex0) <=> v127(constB49, bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v129(constB50, B) <=> v127(constB49, B)))) | (~less_3(bitIndex0)) | (v129(constB50, bitIndex0) <=> v127(constB49, bitIndex0)))),
% 14.39/9.63 inference(rewrite,[status(thm)],[])).
% 14.39/9.63 tff(9349,plain,
% 14.39/9.63 ((~![B: $i] : ((~less_3(B)) | (v129(constB50, B) <=> v127(constB49, B)))) | ((~less_3(bitIndex0)) | (v129(constB50, bitIndex0) <=> v127(constB49, bitIndex0)))),
% 14.39/9.63 inference(quant_inst,[status(thm)],[])).
% 14.39/9.63 tff(9350,plain,
% 14.39/9.63 ((~![B: $i] : ((~less_3(B)) | (v129(constB50, B) <=> v127(constB49, B)))) | (~less_3(bitIndex0)) | (v129(constB50, bitIndex0) <=> v127(constB49, bitIndex0))),
% 14.39/9.63 inference(modus_ponens,[status(thm)],[9349, 9348])).
% 14.39/9.63 tff(9351,plain,
% 14.39/9.63 (v129(constB50, bitIndex0) <=> v127(constB49, bitIndex0)),
% 14.39/9.63 inference(unit_resolution,[status(thm)],[9350, 5004, 9307])).
% 14.39/9.63 tff(9352,plain,
% 14.39/9.63 (((~![B: $i] : ((~less_3(B)) | (v127(constB49, B) <=> v130(constB49, B)))) | ((~less_3(bitIndex0)) | (v127(constB49, bitIndex0) <=> v130(constB49, bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v127(constB49, B) <=> v130(constB49, B)))) | (~less_3(bitIndex0)) | (v127(constB49, bitIndex0) <=> v130(constB49, bitIndex0)))),
% 14.39/9.63 inference(rewrite,[status(thm)],[])).
% 14.39/9.63 tff(9353,plain,
% 14.39/9.63 ((~![B: $i] : ((~less_3(B)) | (v127(constB49, B) <=> v130(constB49, B)))) | ((~less_3(bitIndex0)) | (v127(constB49, bitIndex0) <=> v130(constB49, bitIndex0)))),
% 14.39/9.63 inference(quant_inst,[status(thm)],[])).
% 14.39/9.63 tff(9354,plain,
% 14.39/9.63 ((~![B: $i] : ((~less_3(B)) | (v127(constB49, B) <=> v130(constB49, B)))) | (~less_3(bitIndex0)) | (v127(constB49, bitIndex0) <=> v130(constB49, bitIndex0))),
% 14.39/9.63 inference(modus_ponens,[status(thm)],[9353, 9352])).
% 14.39/9.63 tff(9355,plain,
% 14.39/9.63 (v127(constB49, bitIndex0) <=> v130(constB49, bitIndex0)),
% 14.39/9.63 inference(unit_resolution,[status(thm)],[9354, 5004, 9315])).
% 14.39/9.63 tff(9356,plain,
% 14.39/9.63 (((~![B: $i] : ((~less_3(B)) | (v130(constB49, B) <=> b011(B)))) | ((~less_3(bitIndex0)) | (v130(constB49, bitIndex0) <=> b011(bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v130(constB49, B) <=> b011(B)))) | (~less_3(bitIndex0)) | (v130(constB49, bitIndex0) <=> b011(bitIndex0)))),
% 14.39/9.63 inference(rewrite,[status(thm)],[])).
% 14.39/9.63 tff(9357,plain,
% 14.39/9.63 ((~![B: $i] : ((~less_3(B)) | (v130(constB49, B) <=> b011(B)))) | ((~less_3(bitIndex0)) | (v130(constB49, bitIndex0) <=> b011(bitIndex0)))),
% 14.39/9.63 inference(quant_inst,[status(thm)],[])).
% 14.39/9.63 tff(9358,plain,
% 14.39/9.63 ((~![B: $i] : ((~less_3(B)) | (v130(constB49, B) <=> b011(B)))) | (~less_3(bitIndex0)) | (v130(constB49, bitIndex0) <=> b011(bitIndex0))),
% 14.39/9.63 inference(modus_ponens,[status(thm)],[9357, 9356])).
% 14.39/9.63 tff(9359,plain,
% 14.39/9.63 (v130(constB49, bitIndex0) <=> b011(bitIndex0)),
% 14.39/9.63 inference(unit_resolution,[status(thm)],[9358, 5004, 9324])).
% 14.39/9.63 tff(9360,plain,
% 14.39/9.63 ((~(v130(constB49, bitIndex0) <=> b011(bitIndex0))) | v130(constB49, bitIndex0) | (~b011(bitIndex0))),
% 14.39/9.63 inference(tautology,[status(thm)],[])).
% 14.39/9.63 tff(9361,plain,
% 14.39/9.63 ((~(v130(constB49, bitIndex0) <=> b011(bitIndex0))) | v130(constB49, bitIndex0)),
% 14.39/9.63 inference(unit_resolution,[status(thm)],[9360, 6023])).
% 14.39/9.63 tff(9362,plain,
% 14.39/9.63 (v130(constB49, bitIndex0)),
% 14.39/9.63 inference(unit_resolution,[status(thm)],[9361, 9359])).
% 14.39/9.63 tff(9363,plain,
% 14.39/9.63 ((~(v127(constB49, bitIndex0) <=> v130(constB49, bitIndex0))) | v127(constB49, bitIndex0) | (~v130(constB49, bitIndex0))),
% 14.39/9.63 inference(tautology,[status(thm)],[])).
% 14.39/9.63 tff(9364,plain,
% 14.39/9.63 (v127(constB49, bitIndex0)),
% 14.39/9.63 inference(unit_resolution,[status(thm)],[9363, 9362, 9355])).
% 14.39/9.63 tff(9365,plain,
% 14.39/9.63 ((~(v129(constB50, bitIndex0) <=> v127(constB49, bitIndex0))) | v129(constB50, bitIndex0) | (~v127(constB49, bitIndex0))),
% 14.39/9.63 inference(tautology,[status(thm)],[])).
% 14.39/9.63 tff(9366,plain,
% 14.39/9.63 (v129(constB50, bitIndex0)),
% 14.39/9.63 inference(unit_resolution,[status(thm)],[9365, 9364, 9351])).
% 14.39/9.63 tff(9367,plain,
% 14.39/9.63 ((~(v90(constB50, bitIndex0) <=> v129(constB50, bitIndex0))) | v90(constB50, bitIndex0) | (~v129(constB50, bitIndex0))),
% 14.39/9.63 inference(tautology,[status(thm)],[])).
% 14.39/9.63 tff(9368,plain,
% 14.39/9.63 (v90(constB50, bitIndex0)),
% 14.39/9.63 inference(unit_resolution,[status(thm)],[9367, 9366, 9347])).
% 14.39/9.63 tff(9369,plain,
% 14.39/9.63 ((~(v90(constB51, bitIndex0) <=> v90(constB50, bitIndex0))) | v90(constB51, bitIndex0) | (~v90(constB50, bitIndex0))),
% 14.39/9.63 inference(tautology,[status(thm)],[])).
% 14.39/9.63 tff(9370,plain,
% 14.39/9.63 (v90(constB51, bitIndex0)),
% 14.39/9.63 inference(unit_resolution,[status(thm)],[9369, 9368, 9343])).
% 14.39/9.63 tff(9371,plain,
% 14.39/9.63 (((~![B: $i] : ((~less_3(B)) | (v90(constB51, B) <=> v90(constB50, B)))) | ((~less_3(bitIndex1)) | (v90(constB51, bitIndex1) <=> v90(constB50, bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v90(constB51, B) <=> v90(constB50, B)))) | (~less_3(bitIndex1)) | (v90(constB51, bitIndex1) <=> v90(constB50, bitIndex1)))),
% 14.39/9.63 inference(rewrite,[status(thm)],[])).
% 14.39/9.63 tff(9372,plain,
% 14.39/9.63 ((~![B: $i] : ((~less_3(B)) | (v90(constB51, B) <=> v90(constB50, B)))) | ((~less_3(bitIndex1)) | (v90(constB51, bitIndex1) <=> v90(constB50, bitIndex1)))),
% 14.39/9.63 inference(quant_inst,[status(thm)],[])).
% 14.39/9.63 tff(9373,plain,
% 14.39/9.63 ((~![B: $i] : ((~less_3(B)) | (v90(constB51, B) <=> v90(constB50, B)))) | (~less_3(bitIndex1)) | (v90(constB51, bitIndex1) <=> v90(constB50, bitIndex1))),
% 14.39/9.63 inference(modus_ponens,[status(thm)],[9372, 9371])).
% 14.39/9.63 tff(9374,plain,
% 14.39/9.63 (v90(constB51, bitIndex1) <=> v90(constB50, bitIndex1)),
% 14.39/9.63 inference(unit_resolution,[status(thm)],[9373, 5017, 2674])).
% 14.39/9.63 tff(9375,plain,
% 14.39/9.63 (((~![B: $i] : ((~less_3(B)) | (v90(constB50, B) <=> v129(constB50, B)))) | ((~less_3(bitIndex1)) | (v90(constB50, bitIndex1) <=> v129(constB50, bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v90(constB50, B) <=> v129(constB50, B)))) | (~less_3(bitIndex1)) | (v90(constB50, bitIndex1) <=> v129(constB50, bitIndex1)))),
% 14.39/9.63 inference(rewrite,[status(thm)],[])).
% 14.39/9.63 tff(9376,plain,
% 14.39/9.63 ((~![B: $i] : ((~less_3(B)) | (v90(constB50, B) <=> v129(constB50, B)))) | ((~less_3(bitIndex1)) | (v90(constB50, bitIndex1) <=> v129(constB50, bitIndex1)))),
% 14.39/9.63 inference(quant_inst,[status(thm)],[])).
% 14.39/9.63 tff(9377,plain,
% 14.39/9.63 ((~![B: $i] : ((~less_3(B)) | (v90(constB50, B) <=> v129(constB50, B)))) | (~less_3(bitIndex1)) | (v90(constB50, bitIndex1) <=> v129(constB50, bitIndex1))),
% 14.39/9.63 inference(modus_ponens,[status(thm)],[9376, 9375])).
% 14.39/9.63 tff(9378,plain,
% 14.39/9.63 (v90(constB50, bitIndex1) <=> v129(constB50, bitIndex1)),
% 14.39/9.63 inference(unit_resolution,[status(thm)],[9377, 5017, 9299])).
% 14.39/9.63 tff(9379,plain,
% 14.39/9.63 (((~![B: $i] : ((~less_3(B)) | (v129(constB50, B) <=> v127(constB49, B)))) | ((~less_3(bitIndex1)) | (v129(constB50, bitIndex1) <=> v127(constB49, bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v129(constB50, B) <=> v127(constB49, B)))) | (~less_3(bitIndex1)) | (v129(constB50, bitIndex1) <=> v127(constB49, bitIndex1)))),
% 14.39/9.63 inference(rewrite,[status(thm)],[])).
% 14.39/9.63 tff(9380,plain,
% 14.39/9.63 ((~![B: $i] : ((~less_3(B)) | (v129(constB50, B) <=> v127(constB49, B)))) | ((~less_3(bitIndex1)) | (v129(constB50, bitIndex1) <=> v127(constB49, bitIndex1)))),
% 14.39/9.63 inference(quant_inst,[status(thm)],[])).
% 14.39/9.63 tff(9381,plain,
% 14.39/9.63 ((~![B: $i] : ((~less_3(B)) | (v129(constB50, B) <=> v127(constB49, B)))) | (~less_3(bitIndex1)) | (v129(constB50, bitIndex1) <=> v127(constB49, bitIndex1))),
% 14.39/9.63 inference(modus_ponens,[status(thm)],[9380, 9379])).
% 14.39/9.63 tff(9382,plain,
% 14.39/9.63 (v129(constB50, bitIndex1) <=> v127(constB49, bitIndex1)),
% 14.39/9.63 inference(unit_resolution,[status(thm)],[9381, 5017, 9307])).
% 14.39/9.63 tff(9383,plain,
% 14.39/9.63 (((~![B: $i] : ((~less_3(B)) | (v127(constB49, B) <=> v130(constB49, B)))) | ((~less_3(bitIndex1)) | (v127(constB49, bitIndex1) <=> v130(constB49, bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v127(constB49, B) <=> v130(constB49, B)))) | (~less_3(bitIndex1)) | (v127(constB49, bitIndex1) <=> v130(constB49, bitIndex1)))),
% 14.39/9.63 inference(rewrite,[status(thm)],[])).
% 14.39/9.63 tff(9384,plain,
% 14.39/9.63 ((~![B: $i] : ((~less_3(B)) | (v127(constB49, B) <=> v130(constB49, B)))) | ((~less_3(bitIndex1)) | (v127(constB49, bitIndex1) <=> v130(constB49, bitIndex1)))),
% 14.39/9.63 inference(quant_inst,[status(thm)],[])).
% 14.39/9.63 tff(9385,plain,
% 14.39/9.63 ((~![B: $i] : ((~less_3(B)) | (v127(constB49, B) <=> v130(constB49, B)))) | (~less_3(bitIndex1)) | (v127(constB49, bitIndex1) <=> v130(constB49, bitIndex1))),
% 14.39/9.63 inference(modus_ponens,[status(thm)],[9384, 9383])).
% 14.39/9.63 tff(9386,plain,
% 14.39/9.63 (v127(constB49, bitIndex1) <=> v130(constB49, bitIndex1)),
% 14.39/9.63 inference(unit_resolution,[status(thm)],[9385, 5017, 9315])).
% 14.39/9.63 tff(9387,plain,
% 14.39/9.63 (((~![B: $i] : ((~less_3(B)) | (v130(constB49, B) <=> b011(B)))) | ((~less_3(bitIndex1)) | (v130(constB49, bitIndex1) <=> b011(bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v130(constB49, B) <=> b011(B)))) | (~less_3(bitIndex1)) | (v130(constB49, bitIndex1) <=> b011(bitIndex1)))),
% 14.39/9.63 inference(rewrite,[status(thm)],[])).
% 14.39/9.63 tff(9388,plain,
% 14.39/9.63 ((~![B: $i] : ((~less_3(B)) | (v130(constB49, B) <=> b011(B)))) | ((~less_3(bitIndex1)) | (v130(constB49, bitIndex1) <=> b011(bitIndex1)))),
% 14.39/9.63 inference(quant_inst,[status(thm)],[])).
% 14.39/9.63 tff(9389,plain,
% 14.39/9.63 ((~![B: $i] : ((~less_3(B)) | (v130(constB49, B) <=> b011(B)))) | (~less_3(bitIndex1)) | (v130(constB49, bitIndex1) <=> b011(bitIndex1))),
% 14.39/9.63 inference(modus_ponens,[status(thm)],[9388, 9387])).
% 14.39/9.63 tff(9390,plain,
% 14.39/9.63 (v130(constB49, bitIndex1) <=> b011(bitIndex1)),
% 14.39/9.63 inference(unit_resolution,[status(thm)],[9389, 5017, 9324])).
% 14.39/9.63 tff(9391,plain,
% 14.39/9.63 ((~(v130(constB49, bitIndex1) <=> b011(bitIndex1))) | v130(constB49, bitIndex1) | (~b011(bitIndex1))),
% 14.39/9.63 inference(tautology,[status(thm)],[])).
% 14.39/9.63 tff(9392,plain,
% 14.39/9.63 ((~(v130(constB49, bitIndex1) <=> b011(bitIndex1))) | v130(constB49, bitIndex1)),
% 14.39/9.63 inference(unit_resolution,[status(thm)],[9391, 6057])).
% 14.39/9.63 tff(9393,plain,
% 14.39/9.63 (v130(constB49, bitIndex1)),
% 14.39/9.63 inference(unit_resolution,[status(thm)],[9392, 9390])).
% 14.39/9.63 tff(9394,plain,
% 14.39/9.63 ((~(v127(constB49, bitIndex1) <=> v130(constB49, bitIndex1))) | v127(constB49, bitIndex1) | (~v130(constB49, bitIndex1))),
% 14.39/9.63 inference(tautology,[status(thm)],[])).
% 14.39/9.63 tff(9395,plain,
% 14.39/9.63 (v127(constB49, bitIndex1)),
% 14.39/9.63 inference(unit_resolution,[status(thm)],[9394, 9393, 9386])).
% 14.39/9.63 tff(9396,plain,
% 14.39/9.63 ((~(v129(constB50, bitIndex1) <=> v127(constB49, bitIndex1))) | v129(constB50, bitIndex1) | (~v127(constB49, bitIndex1))),
% 14.39/9.64 inference(tautology,[status(thm)],[])).
% 14.39/9.64 tff(9397,plain,
% 14.39/9.64 (v129(constB50, bitIndex1)),
% 14.39/9.64 inference(unit_resolution,[status(thm)],[9396, 9395, 9382])).
% 14.39/9.64 tff(9398,plain,
% 14.39/9.64 ((~(v90(constB50, bitIndex1) <=> v129(constB50, bitIndex1))) | v90(constB50, bitIndex1) | (~v129(constB50, bitIndex1))),
% 14.39/9.64 inference(tautology,[status(thm)],[])).
% 14.39/9.64 tff(9399,plain,
% 14.39/9.64 (v90(constB50, bitIndex1)),
% 14.39/9.64 inference(unit_resolution,[status(thm)],[9398, 9397, 9378])).
% 14.39/9.64 tff(9400,plain,
% 14.39/9.64 ((~(v90(constB51, bitIndex1) <=> v90(constB50, bitIndex1))) | v90(constB51, bitIndex1) | (~v90(constB50, bitIndex1))),
% 14.39/9.64 inference(tautology,[status(thm)],[])).
% 14.39/9.64 tff(9401,plain,
% 14.39/9.64 (v90(constB51, bitIndex1)),
% 14.39/9.64 inference(unit_resolution,[status(thm)],[9400, 9399, 9374])).
% 14.39/9.64 tff(9402,plain,
% 14.39/9.64 ((~(v90(constB51, bitIndex2) | (~v90(constB51, bitIndex1)) | (~v90(constB51, bitIndex0)))) | v90(constB51, bitIndex2) | (~v90(constB51, bitIndex1)) | (~v90(constB51, bitIndex0))),
% 14.39/9.64 inference(tautology,[status(thm)],[])).
% 14.39/9.64 tff(9403,plain,
% 14.39/9.64 (~(v90(constB51, bitIndex2) | (~v90(constB51, bitIndex1)) | (~v90(constB51, bitIndex0)))),
% 14.39/9.64 inference(unit_resolution,[status(thm)],[9402, 9401, 9370, 9339])).
% 14.39/9.64 tff(9404,plain,
% 14.39/9.64 ((~(v122(constB51) <=> (~(v90(constB51, bitIndex2) | (~v90(constB51, bitIndex1)) | (~v90(constB51, bitIndex0)))))) | v122(constB51) | (v90(constB51, bitIndex2) | (~v90(constB51, bitIndex1)) | (~v90(constB51, bitIndex0)))),
% 14.39/9.64 inference(tautology,[status(thm)],[])).
% 14.39/9.64 tff(9405,plain,
% 14.39/9.64 (v122(constB51)),
% 14.39/9.64 inference(unit_resolution,[status(thm)],[9404, 9403, 2646])).
% 14.39/9.64 tff(9406,plain,
% 14.39/9.64 ((v117(constB51) | v122(constB51)) | (~v122(constB51))),
% 14.39/9.64 inference(tautology,[status(thm)],[])).
% 14.39/9.64 tff(9407,plain,
% 14.39/9.64 (v117(constB51) | v122(constB51)),
% 14.39/9.64 inference(unit_resolution,[status(thm)],[9406, 9405])).
% 14.39/9.64 tff(9408,plain,
% 14.39/9.64 ((~(v116(constB51) <=> (v117(constB51) | v122(constB51)))) | v116(constB51) | (~(v117(constB51) | v122(constB51)))),
% 14.39/9.64 inference(tautology,[status(thm)],[])).
% 14.39/9.64 tff(9409,plain,
% 14.39/9.64 (v116(constB51)),
% 14.39/9.64 inference(unit_resolution,[status(thm)],[9408, 9407, 2639])).
% 14.39/9.64 tff(9410,plain,
% 14.39/9.64 ((v116(constB51) | v123(constB51)) | (~v116(constB51))),
% 14.39/9.64 inference(tautology,[status(thm)],[])).
% 14.39/9.64 tff(9411,plain,
% 14.39/9.64 (v116(constB51) | v123(constB51)),
% 14.39/9.64 inference(unit_resolution,[status(thm)],[9410, 9409])).
% 14.39/9.64 tff(9412,plain,
% 14.39/9.64 ((~(v115(constB51) <=> (v116(constB51) | v123(constB51)))) | v115(constB51) | (~(v116(constB51) | v123(constB51)))),
% 14.39/9.64 inference(tautology,[status(thm)],[])).
% 14.39/9.64 tff(9413,plain,
% 14.39/9.64 (v115(constB51)),
% 14.39/9.64 inference(unit_resolution,[status(thm)],[9412, 9411, 2637])).
% 14.39/9.64 tff(9414,plain,
% 14.39/9.64 ((v115(constB51) | v124(constB51)) | (~v115(constB51))),
% 14.39/9.64 inference(tautology,[status(thm)],[])).
% 14.39/9.64 tff(9415,plain,
% 14.39/9.64 (v115(constB51) | v124(constB51)),
% 14.39/9.64 inference(unit_resolution,[status(thm)],[9414, 9413])).
% 14.39/9.64 tff(9416,plain,
% 14.39/9.64 ((~(v114(constB51) <=> (v115(constB51) | v124(constB51)))) | v114(constB51) | (~(v115(constB51) | v124(constB51)))),
% 14.39/9.64 inference(tautology,[status(thm)],[])).
% 14.39/9.64 tff(9417,plain,
% 14.39/9.64 (v114(constB51)),
% 14.39/9.64 inference(unit_resolution,[status(thm)],[9416, 9415, 2635])).
% 14.39/9.64 tff(9418,plain,
% 14.39/9.64 ((v114(constB51) | v125(constB51)) | (~v114(constB51))),
% 14.39/9.64 inference(tautology,[status(thm)],[])).
% 14.39/9.64 tff(9419,plain,
% 14.39/9.64 (v114(constB51) | v125(constB51)),
% 14.39/9.64 inference(unit_resolution,[status(thm)],[9418, 9417])).
% 14.39/9.64 tff(9420,plain,
% 14.39/9.64 ((~(v113(constB51) <=> (v114(constB51) | v125(constB51)))) | v113(constB51) | (~(v114(constB51) | v125(constB51)))),
% 14.39/9.64 inference(tautology,[status(thm)],[])).
% 14.39/9.64 tff(9421,plain,
% 14.39/9.64 (v113(constB51)),
% 14.39/9.64 inference(unit_resolution,[status(thm)],[9420, 9419, 2633])).
% 14.39/9.64 tff(9422,plain,
% 14.39/9.64 ((~![VarCurr: $i] : ((~v126(VarCurr)) <=> v111(VarCurr))) | ((~v126(constB51)) <=> v111(constB51))),
% 14.39/9.64 inference(quant_inst,[status(thm)],[])).
% 14.39/9.64 tff(9423,plain,
% 14.39/9.64 ((~v126(constB51)) <=> v111(constB51)),
% 14.39/9.64 inference(unit_resolution,[status(thm)],[9422, 5074])).
% 14.39/9.64 tff(9424,plain,
% 14.39/9.64 ((~![VarCurr: $i] : (v111(VarCurr) <=> v26(VarCurr))) | (v111(constB51) <=> v26(constB51))),
% 14.39/9.64 inference(quant_inst,[status(thm)],[])).
% 14.39/9.64 tff(9425,plain,
% 14.39/9.64 (v111(constB51) <=> v26(constB51)),
% 14.39/9.64 inference(unit_resolution,[status(thm)],[9424, 5086])).
% 14.39/9.64 tff(9426,plain,
% 14.39/9.64 ((~![VarCurr: $i] : (~v26(VarCurr))) | (~v26(constB51))),
% 14.39/9.64 inference(quant_inst,[status(thm)],[])).
% 14.39/9.64 tff(9427,plain,
% 14.39/9.64 (~v26(constB51)),
% 14.39/9.64 inference(unit_resolution,[status(thm)],[9426, 5098])).
% 14.39/9.64 tff(9428,plain,
% 14.39/9.64 ((~(v111(constB51) <=> v26(constB51))) | (~v111(constB51)) | v26(constB51)),
% 14.39/9.64 inference(tautology,[status(thm)],[])).
% 14.39/9.64 tff(9429,plain,
% 14.39/9.64 ((~(v111(constB51) <=> v26(constB51))) | (~v111(constB51))),
% 14.39/9.64 inference(unit_resolution,[status(thm)],[9428, 9427])).
% 14.39/9.64 tff(9430,plain,
% 14.39/9.64 (~v111(constB51)),
% 14.39/9.64 inference(unit_resolution,[status(thm)],[9429, 9425])).
% 14.39/9.64 tff(9431,plain,
% 14.39/9.64 ((~((~v126(constB51)) <=> v111(constB51))) | v126(constB51) | v111(constB51)),
% 14.39/9.64 inference(tautology,[status(thm)],[])).
% 14.39/9.64 tff(9432,plain,
% 14.39/9.64 ((~((~v126(constB51)) <=> v111(constB51))) | v126(constB51)),
% 14.39/9.64 inference(unit_resolution,[status(thm)],[9431, 9430])).
% 14.39/9.64 tff(9433,plain,
% 14.39/9.64 (v126(constB51)),
% 14.39/9.64 inference(unit_resolution,[status(thm)],[9432, 9423])).
% 14.39/9.64 tff(9434,plain,
% 14.39/9.64 ((~((~v113(constB51)) | (~v126(constB51)))) | (~v113(constB51)) | (~v126(constB51))),
% 14.39/9.64 inference(tautology,[status(thm)],[])).
% 14.39/9.64 tff(9435,plain,
% 14.39/9.64 ((~((~v113(constB51)) | (~v126(constB51)))) | (~v113(constB51))),
% 14.39/9.64 inference(unit_resolution,[status(thm)],[9434, 9433])).
% 14.39/9.64 tff(9436,plain,
% 14.39/9.64 (~((~v113(constB51)) | (~v126(constB51)))),
% 14.39/9.64 inference(unit_resolution,[status(thm)],[9435, 9421])).
% 14.39/9.64 tff(9437,plain,
% 14.39/9.64 ((~(v112(constB51) <=> (~((~v113(constB51)) | (~v126(constB51)))))) | v112(constB51) | ((~v113(constB51)) | (~v126(constB51)))),
% 14.39/9.64 inference(tautology,[status(thm)],[])).
% 14.39/9.64 tff(9438,plain,
% 14.39/9.64 (v112(constB51)),
% 14.39/9.64 inference(unit_resolution,[status(thm)],[9437, 9436, 2631])).
% 14.39/9.64 tff(9439,plain,
% 14.39/9.64 ((v111(constB51) | v112(constB51)) | (~v112(constB51))),
% 14.39/9.64 inference(tautology,[status(thm)],[])).
% 14.39/9.64 tff(9440,plain,
% 14.39/9.64 (v111(constB51) | v112(constB51)),
% 14.39/9.64 inference(unit_resolution,[status(thm)],[9439, 9438])).
% 14.39/9.64 tff(9441,plain,
% 14.39/9.64 ((~(v108(constB51) <=> (v111(constB51) | v112(constB51)))) | v108(constB51) | (~(v111(constB51) | v112(constB51)))),
% 14.39/9.64 inference(tautology,[status(thm)],[])).
% 14.39/9.64 tff(9442,plain,
% 14.39/9.64 (v108(constB51)),
% 14.39/9.64 inference(unit_resolution,[status(thm)],[9441, 9440, 2629])).
% 14.39/9.64 tff(9443,plain,
% 14.39/9.64 ((~(v110(constB52) <=> v108(constB51))) | v110(constB52) | (~v108(constB51))),
% 14.39/9.64 inference(tautology,[status(thm)],[])).
% 14.39/9.64 tff(9444,plain,
% 14.39/9.64 (v110(constB52)),
% 14.39/9.64 inference(unit_resolution,[status(thm)],[9443, 9442, 2627])).
% 14.39/9.64 tff(9445,plain,
% 14.39/9.64 ((~((~v101(constB52)) | (~v110(constB52)))) | (~v101(constB52)) | (~v110(constB52))),
% 14.39/9.64 inference(tautology,[status(thm)],[])).
% 14.39/9.64 tff(9446,plain,
% 14.39/9.64 (~((~v101(constB52)) | (~v110(constB52)))),
% 14.39/9.64 inference(unit_resolution,[status(thm)],[9445, 9444, 2623])).
% 14.39/9.64 tff(9447,plain,
% 14.39/9.64 ((~(v100(constB52) <=> (~((~v101(constB52)) | (~v110(constB52)))))) | v100(constB52) | ((~v101(constB52)) | (~v110(constB52)))),
% 14.39/9.64 inference(tautology,[status(thm)],[])).
% 14.39/9.64 tff(9448,plain,
% 14.39/9.64 (v100(constB52)),
% 14.39/9.64 inference(unit_resolution,[status(thm)],[9447, 9446, 2592])).
% 14.39/9.64 tff(9449,plain,
% 14.39/9.64 (((~![VarNext: $i] : ((~v100(VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v129(VarNext, B))))) | ((~v100(constB52)) | ![B: $i] : ((~less_3(B)) | (v90(constB52, B) <=> v129(constB52, B))))) <=> ((~![VarNext: $i] : ((~v100(VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v129(VarNext, B))))) | (~v100(constB52)) | ![B: $i] : ((~less_3(B)) | (v90(constB52, B) <=> v129(constB52, B))))),
% 14.39/9.64 inference(rewrite,[status(thm)],[])).
% 14.39/9.64 tff(9450,plain,
% 14.39/9.64 ((~![VarNext: $i] : ((~v100(VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v129(VarNext, B))))) | ((~v100(constB52)) | ![B: $i] : ((~less_3(B)) | (v90(constB52, B) <=> v129(constB52, B))))),
% 14.39/9.64 inference(quant_inst,[status(thm)],[])).
% 14.39/9.64 tff(9451,plain,
% 14.39/9.64 ((~![VarNext: $i] : ((~v100(VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v129(VarNext, B))))) | (~v100(constB52)) | ![B: $i] : ((~less_3(B)) | (v90(constB52, B) <=> v129(constB52, B)))),
% 14.39/9.64 inference(modus_ponens,[status(thm)],[9450, 9449])).
% 14.39/9.64 tff(9452,plain,
% 14.39/9.64 ((~v100(constB52)) | ![B: $i] : ((~less_3(B)) | (v90(constB52, B) <=> v129(constB52, B)))),
% 14.39/9.64 inference(unit_resolution,[status(thm)],[9451, 5134])).
% 14.39/9.64 tff(9453,plain,
% 14.39/9.64 (![B: $i] : ((~less_3(B)) | (v90(constB52, B) <=> v129(constB52, B)))),
% 14.39/9.64 inference(unit_resolution,[status(thm)],[9452, 9448])).
% 14.39/9.64 tff(9454,plain,
% 14.39/9.64 (((~![B: $i] : ((~less_3(B)) | (v90(constB52, B) <=> v129(constB52, B)))) | ((~less_3(bitIndex2)) | (v90(constB52, bitIndex2) <=> v129(constB52, bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v90(constB52, B) <=> v129(constB52, B)))) | (~less_3(bitIndex2)) | (v90(constB52, bitIndex2) <=> v129(constB52, bitIndex2)))),
% 14.39/9.64 inference(rewrite,[status(thm)],[])).
% 14.39/9.64 tff(9455,plain,
% 14.39/9.64 ((~![B: $i] : ((~less_3(B)) | (v90(constB52, B) <=> v129(constB52, B)))) | ((~less_3(bitIndex2)) | (v90(constB52, bitIndex2) <=> v129(constB52, bitIndex2)))),
% 14.39/9.64 inference(quant_inst,[status(thm)],[])).
% 14.39/9.64 tff(9456,plain,
% 14.39/9.64 ((~![B: $i] : ((~less_3(B)) | (v90(constB52, B) <=> v129(constB52, B)))) | (~less_3(bitIndex2)) | (v90(constB52, bitIndex2) <=> v129(constB52, bitIndex2))),
% 14.39/9.64 inference(modus_ponens,[status(thm)],[9455, 9454])).
% 14.39/9.64 tff(9457,plain,
% 14.39/9.64 (v90(constB52, bitIndex2) <=> v129(constB52, bitIndex2)),
% 14.39/9.64 inference(unit_resolution,[status(thm)],[9456, 413, 9453])).
% 14.39/9.64 tff(9458,plain,
% 14.39/9.64 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v129(VarNext, B) <=> v127(VarCurr, B))))) | ((~nextState(constB51, constB52)) | ![B: $i] : ((~less_3(B)) | (v129(constB52, B) <=> v127(constB51, B))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v129(VarNext, B) <=> v127(VarCurr, B))))) | (~nextState(constB51, constB52)) | ![B: $i] : ((~less_3(B)) | (v129(constB52, B) <=> v127(constB51, B))))),
% 14.39/9.64 inference(rewrite,[status(thm)],[])).
% 14.39/9.64 tff(9459,plain,
% 14.39/9.64 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v129(VarNext, B) <=> v127(VarCurr, B))))) | ((~nextState(constB51, constB52)) | ![B: $i] : ((~less_3(B)) | (v129(constB52, B) <=> v127(constB51, B))))),
% 14.39/9.64 inference(quant_inst,[status(thm)],[])).
% 14.39/9.64 tff(9460,plain,
% 14.39/9.64 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v129(VarNext, B) <=> v127(VarCurr, B))))) | (~nextState(constB51, constB52)) | ![B: $i] : ((~less_3(B)) | (v129(constB52, B) <=> v127(constB51, B)))),
% 14.39/9.64 inference(modus_ponens,[status(thm)],[9459, 9458])).
% 14.39/9.64 tff(9461,plain,
% 14.39/9.64 (![B: $i] : ((~less_3(B)) | (v129(constB52, B) <=> v127(constB51, B)))),
% 14.39/9.64 inference(unit_resolution,[status(thm)],[9460, 2588, 5156])).
% 14.39/9.64 tff(9462,plain,
% 14.39/9.64 (((~![B: $i] : ((~less_3(B)) | (v129(constB52, B) <=> v127(constB51, B)))) | ((~less_3(bitIndex2)) | (v129(constB52, bitIndex2) <=> v127(constB51, bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v129(constB52, B) <=> v127(constB51, B)))) | (~less_3(bitIndex2)) | (v129(constB52, bitIndex2) <=> v127(constB51, bitIndex2)))),
% 14.39/9.64 inference(rewrite,[status(thm)],[])).
% 14.39/9.64 tff(9463,plain,
% 14.39/9.64 ((~![B: $i] : ((~less_3(B)) | (v129(constB52, B) <=> v127(constB51, B)))) | ((~less_3(bitIndex2)) | (v129(constB52, bitIndex2) <=> v127(constB51, bitIndex2)))),
% 14.39/9.64 inference(quant_inst,[status(thm)],[])).
% 14.39/9.64 tff(9464,plain,
% 14.39/9.64 ((~![B: $i] : ((~less_3(B)) | (v129(constB52, B) <=> v127(constB51, B)))) | (~less_3(bitIndex2)) | (v129(constB52, bitIndex2) <=> v127(constB51, bitIndex2))),
% 14.39/9.64 inference(modus_ponens,[status(thm)],[9463, 9462])).
% 14.39/9.64 tff(9465,plain,
% 14.39/9.64 (v129(constB52, bitIndex2) <=> v127(constB51, bitIndex2)),
% 14.39/9.64 inference(unit_resolution,[status(thm)],[9464, 413, 9461])).
% 14.39/9.64 tff(9466,plain,
% 14.39/9.64 (((~![VarCurr: $i] : (v111(VarCurr) | ![B: $i] : ((~less_3(B)) | (v127(VarCurr, B) <=> v130(VarCurr, B))))) | (v111(constB51) | ![B: $i] : ((~less_3(B)) | (v127(constB51, B) <=> v130(constB51, B))))) <=> ((~![VarCurr: $i] : (v111(VarCurr) | ![B: $i] : ((~less_3(B)) | (v127(VarCurr, B) <=> v130(VarCurr, B))))) | v111(constB51) | ![B: $i] : ((~less_3(B)) | (v127(constB51, B) <=> v130(constB51, B))))),
% 14.39/9.64 inference(rewrite,[status(thm)],[])).
% 14.39/9.64 tff(9467,plain,
% 14.39/9.64 ((~![VarCurr: $i] : (v111(VarCurr) | ![B: $i] : ((~less_3(B)) | (v127(VarCurr, B) <=> v130(VarCurr, B))))) | (v111(constB51) | ![B: $i] : ((~less_3(B)) | (v127(constB51, B) <=> v130(constB51, B))))),
% 14.39/9.64 inference(quant_inst,[status(thm)],[])).
% 14.39/9.64 tff(9468,plain,
% 14.39/9.64 ((~![VarCurr: $i] : (v111(VarCurr) | ![B: $i] : ((~less_3(B)) | (v127(VarCurr, B) <=> v130(VarCurr, B))))) | v111(constB51) | ![B: $i] : ((~less_3(B)) | (v127(constB51, B) <=> v130(constB51, B)))),
% 14.39/9.64 inference(modus_ponens,[status(thm)],[9467, 9466])).
% 14.39/9.64 tff(9469,plain,
% 14.39/9.64 (![B: $i] : ((~less_3(B)) | (v127(constB51, B) <=> v130(constB51, B)))),
% 14.39/9.64 inference(unit_resolution,[status(thm)],[9468, 5177, 9430])).
% 14.39/9.64 tff(9470,plain,
% 14.39/9.64 (((~![B: $i] : ((~less_3(B)) | (v127(constB51, B) <=> v130(constB51, B)))) | ((~less_3(bitIndex2)) | (v127(constB51, bitIndex2) <=> v130(constB51, bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v127(constB51, B) <=> v130(constB51, B)))) | (~less_3(bitIndex2)) | (v127(constB51, bitIndex2) <=> v130(constB51, bitIndex2)))),
% 14.39/9.64 inference(rewrite,[status(thm)],[])).
% 14.39/9.64 tff(9471,plain,
% 14.39/9.64 ((~![B: $i] : ((~less_3(B)) | (v127(constB51, B) <=> v130(constB51, B)))) | ((~less_3(bitIndex2)) | (v127(constB51, bitIndex2) <=> v130(constB51, bitIndex2)))),
% 14.39/9.64 inference(quant_inst,[status(thm)],[])).
% 14.39/9.64 tff(9472,plain,
% 14.39/9.64 ((~![B: $i] : ((~less_3(B)) | (v127(constB51, B) <=> v130(constB51, B)))) | (~less_3(bitIndex2)) | (v127(constB51, bitIndex2) <=> v130(constB51, bitIndex2))),
% 14.39/9.64 inference(modus_ponens,[status(thm)],[9471, 9470])).
% 14.39/9.64 tff(9473,plain,
% 14.39/9.64 (v127(constB51, bitIndex2) <=> v130(constB51, bitIndex2)),
% 14.39/9.64 inference(unit_resolution,[status(thm)],[9472, 413, 9469])).
% 14.39/9.64 tff(9474,plain,
% 14.39/9.64 (((~![VarCurr: $i] : ((~v122(VarCurr)) | ![B: $i] : ((~less_3(B)) | (v130(VarCurr, B) <=> b100(B))))) | ((~v122(constB51)) | ![B: $i] : ((~less_3(B)) | (v130(constB51, B) <=> b100(B))))) <=> ((~![VarCurr: $i] : ((~v122(VarCurr)) | ![B: $i] : ((~less_3(B)) | (v130(VarCurr, B) <=> b100(B))))) | (~v122(constB51)) | ![B: $i] : ((~less_3(B)) | (v130(constB51, B) <=> b100(B))))),
% 14.39/9.64 inference(rewrite,[status(thm)],[])).
% 14.39/9.64 tff(9475,plain,
% 14.39/9.64 ((~![VarCurr: $i] : ((~v122(VarCurr)) | ![B: $i] : ((~less_3(B)) | (v130(VarCurr, B) <=> b100(B))))) | ((~v122(constB51)) | ![B: $i] : ((~less_3(B)) | (v130(constB51, B) <=> b100(B))))),
% 14.39/9.64 inference(quant_inst,[status(thm)],[])).
% 14.39/9.64 tff(9476,plain,
% 14.39/9.64 ((~![VarCurr: $i] : ((~v122(VarCurr)) | ![B: $i] : ((~less_3(B)) | (v130(VarCurr, B) <=> b100(B))))) | (~v122(constB51)) | ![B: $i] : ((~less_3(B)) | (v130(constB51, B) <=> b100(B)))),
% 14.39/9.64 inference(modus_ponens,[status(thm)],[9475, 9474])).
% 14.39/9.64 tff(9477,plain,
% 14.39/9.64 ((~v122(constB51)) | ![B: $i] : ((~less_3(B)) | (v130(constB51, B) <=> b100(B)))),
% 14.39/9.64 inference(unit_resolution,[status(thm)],[9476, 6153])).
% 14.39/9.64 tff(9478,plain,
% 14.39/9.64 (![B: $i] : ((~less_3(B)) | (v130(constB51, B) <=> b100(B)))),
% 14.39/9.64 inference(unit_resolution,[status(thm)],[9477, 9405])).
% 14.39/9.64 tff(9479,plain,
% 14.39/9.64 (((~![B: $i] : ((~less_3(B)) | (v130(constB51, B) <=> b100(B)))) | ((~less_3(bitIndex2)) | (v130(constB51, bitIndex2) <=> b100(bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v130(constB51, B) <=> b100(B)))) | (~less_3(bitIndex2)) | (v130(constB51, bitIndex2) <=> b100(bitIndex2)))),
% 14.39/9.64 inference(rewrite,[status(thm)],[])).
% 14.39/9.64 tff(9480,plain,
% 14.39/9.64 ((~![B: $i] : ((~less_3(B)) | (v130(constB51, B) <=> b100(B)))) | ((~less_3(bitIndex2)) | (v130(constB51, bitIndex2) <=> b100(bitIndex2)))),
% 14.39/9.64 inference(quant_inst,[status(thm)],[])).
% 14.39/9.64 tff(9481,plain,
% 14.39/9.64 ((~![B: $i] : ((~less_3(B)) | (v130(constB51, B) <=> b100(B)))) | (~less_3(bitIndex2)) | (v130(constB51, bitIndex2) <=> b100(bitIndex2))),
% 14.39/9.64 inference(modus_ponens,[status(thm)],[9480, 9479])).
% 14.39/9.64 tff(9482,plain,
% 14.39/9.64 (v130(constB51, bitIndex2) <=> b100(bitIndex2)),
% 14.39/9.64 inference(unit_resolution,[status(thm)],[9481, 413, 9478])).
% 14.39/9.64 tff(9483,plain,
% 14.39/9.64 ((~(v130(constB51, bitIndex2) <=> b100(bitIndex2))) | v130(constB51, bitIndex2) | (~b100(bitIndex2))),
% 14.39/9.64 inference(tautology,[status(thm)],[])).
% 14.39/9.64 tff(9484,plain,
% 14.39/9.64 ((~(v130(constB51, bitIndex2) <=> b100(bitIndex2))) | v130(constB51, bitIndex2)),
% 14.39/9.64 inference(unit_resolution,[status(thm)],[9483, 5209])).
% 14.39/9.64 tff(9485,plain,
% 14.39/9.64 (v130(constB51, bitIndex2)),
% 14.39/9.64 inference(unit_resolution,[status(thm)],[9484, 9482])).
% 14.39/9.64 tff(9486,plain,
% 14.39/9.64 ((~(v127(constB51, bitIndex2) <=> v130(constB51, bitIndex2))) | v127(constB51, bitIndex2) | (~v130(constB51, bitIndex2))),
% 14.39/9.64 inference(tautology,[status(thm)],[])).
% 14.39/9.64 tff(9487,plain,
% 14.39/9.64 (v127(constB51, bitIndex2)),
% 14.39/9.64 inference(unit_resolution,[status(thm)],[9486, 9485, 9473])).
% 14.39/9.64 tff(9488,plain,
% 14.39/9.64 ((~(v129(constB52, bitIndex2) <=> v127(constB51, bitIndex2))) | v129(constB52, bitIndex2) | (~v127(constB51, bitIndex2))),
% 14.39/9.64 inference(tautology,[status(thm)],[])).
% 14.39/9.64 tff(9489,plain,
% 14.39/9.64 (v129(constB52, bitIndex2)),
% 14.39/9.64 inference(unit_resolution,[status(thm)],[9488, 9487, 9465])).
% 14.39/9.64 tff(9490,plain,
% 14.39/9.64 ((~(v90(constB52, bitIndex2) <=> v129(constB52, bitIndex2))) | v90(constB52, bitIndex2) | (~v129(constB52, bitIndex2))),
% 14.39/9.64 inference(tautology,[status(thm)],[])).
% 14.39/9.64 tff(9491,plain,
% 14.39/9.64 (v90(constB52, bitIndex2)),
% 14.39/9.64 inference(unit_resolution,[status(thm)],[9490, 9489, 9457])).
% 14.39/9.64 tff(9492,plain,
% 14.39/9.64 ((~(v90(constB53, bitIndex2) <=> v90(constB52, bitIndex2))) | v90(constB53, bitIndex2) | (~v90(constB52, bitIndex2))),
% 14.39/9.64 inference(tautology,[status(thm)],[])).
% 14.39/9.64 tff(9493,plain,
% 14.39/9.64 (v90(constB53, bitIndex2)),
% 14.39/9.64 inference(unit_resolution,[status(thm)],[9492, 9491, 2585])).
% 14.39/9.64 tff(9494,plain,
% 14.39/9.64 (((~![B: $i] : ((~less_3(B)) | (v90(constB53, B) <=> v90(constB52, B)))) | ((~less_3(bitIndex0)) | (v90(constB53, bitIndex0) <=> v90(constB52, bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v90(constB53, B) <=> v90(constB52, B)))) | (~less_3(bitIndex0)) | (v90(constB53, bitIndex0) <=> v90(constB52, bitIndex0)))),
% 14.39/9.64 inference(rewrite,[status(thm)],[])).
% 14.39/9.64 tff(9495,plain,
% 14.39/9.64 ((~![B: $i] : ((~less_3(B)) | (v90(constB53, B) <=> v90(constB52, B)))) | ((~less_3(bitIndex0)) | (v90(constB53, bitIndex0) <=> v90(constB52, bitIndex0)))),
% 14.39/9.64 inference(quant_inst,[status(thm)],[])).
% 14.39/9.64 tff(9496,plain,
% 14.39/9.64 ((~![B: $i] : ((~less_3(B)) | (v90(constB53, B) <=> v90(constB52, B)))) | (~less_3(bitIndex0)) | (v90(constB53, bitIndex0) <=> v90(constB52, bitIndex0))),
% 14.39/9.64 inference(modus_ponens,[status(thm)],[9495, 9494])).
% 14.39/9.64 tff(9497,plain,
% 14.39/9.64 (v90(constB53, bitIndex0) <=> v90(constB52, bitIndex0)),
% 14.39/9.64 inference(unit_resolution,[status(thm)],[9496, 5004, 2581])).
% 14.39/9.64 tff(9498,plain,
% 14.39/9.64 (((~![B: $i] : ((~less_3(B)) | (v90(constB52, B) <=> v129(constB52, B)))) | ((~less_3(bitIndex0)) | (v90(constB52, bitIndex0) <=> v129(constB52, bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v90(constB52, B) <=> v129(constB52, B)))) | (~less_3(bitIndex0)) | (v90(constB52, bitIndex0) <=> v129(constB52, bitIndex0)))),
% 14.39/9.64 inference(rewrite,[status(thm)],[])).
% 14.39/9.64 tff(9499,plain,
% 14.39/9.64 ((~![B: $i] : ((~less_3(B)) | (v90(constB52, B) <=> v129(constB52, B)))) | ((~less_3(bitIndex0)) | (v90(constB52, bitIndex0) <=> v129(constB52, bitIndex0)))),
% 14.39/9.64 inference(quant_inst,[status(thm)],[])).
% 14.39/9.64 tff(9500,plain,
% 14.39/9.64 ((~![B: $i] : ((~less_3(B)) | (v90(constB52, B) <=> v129(constB52, B)))) | (~less_3(bitIndex0)) | (v90(constB52, bitIndex0) <=> v129(constB52, bitIndex0))),
% 14.39/9.64 inference(modus_ponens,[status(thm)],[9499, 9498])).
% 14.39/9.64 tff(9501,plain,
% 14.39/9.64 (v90(constB52, bitIndex0) <=> v129(constB52, bitIndex0)),
% 14.39/9.64 inference(unit_resolution,[status(thm)],[9500, 5004, 9453])).
% 14.39/9.64 tff(9502,plain,
% 14.39/9.64 (((~![B: $i] : ((~less_3(B)) | (v129(constB52, B) <=> v127(constB51, B)))) | ((~less_3(bitIndex0)) | (v129(constB52, bitIndex0) <=> v127(constB51, bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v129(constB52, B) <=> v127(constB51, B)))) | (~less_3(bitIndex0)) | (v129(constB52, bitIndex0) <=> v127(constB51, bitIndex0)))),
% 14.39/9.64 inference(rewrite,[status(thm)],[])).
% 14.39/9.64 tff(9503,plain,
% 14.39/9.64 ((~![B: $i] : ((~less_3(B)) | (v129(constB52, B) <=> v127(constB51, B)))) | ((~less_3(bitIndex0)) | (v129(constB52, bitIndex0) <=> v127(constB51, bitIndex0)))),
% 14.39/9.64 inference(quant_inst,[status(thm)],[])).
% 14.39/9.64 tff(9504,plain,
% 14.39/9.64 ((~![B: $i] : ((~less_3(B)) | (v129(constB52, B) <=> v127(constB51, B)))) | (~less_3(bitIndex0)) | (v129(constB52, bitIndex0) <=> v127(constB51, bitIndex0))),
% 14.39/9.64 inference(modus_ponens,[status(thm)],[9503, 9502])).
% 14.39/9.64 tff(9505,plain,
% 14.39/9.64 (v129(constB52, bitIndex0) <=> v127(constB51, bitIndex0)),
% 14.39/9.64 inference(unit_resolution,[status(thm)],[9504, 5004, 9461])).
% 14.39/9.64 tff(9506,plain,
% 14.39/9.64 (((~![B: $i] : ((~less_3(B)) | (v127(constB51, B) <=> v130(constB51, B)))) | ((~less_3(bitIndex0)) | (v127(constB51, bitIndex0) <=> v130(constB51, bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v127(constB51, B) <=> v130(constB51, B)))) | (~less_3(bitIndex0)) | (v127(constB51, bitIndex0) <=> v130(constB51, bitIndex0)))),
% 14.39/9.64 inference(rewrite,[status(thm)],[])).
% 14.39/9.64 tff(9507,plain,
% 14.39/9.64 ((~![B: $i] : ((~less_3(B)) | (v127(constB51, B) <=> v130(constB51, B)))) | ((~less_3(bitIndex0)) | (v127(constB51, bitIndex0) <=> v130(constB51, bitIndex0)))),
% 14.39/9.64 inference(quant_inst,[status(thm)],[])).
% 14.39/9.64 tff(9508,plain,
% 14.39/9.64 ((~![B: $i] : ((~less_3(B)) | (v127(constB51, B) <=> v130(constB51, B)))) | (~less_3(bitIndex0)) | (v127(constB51, bitIndex0) <=> v130(constB51, bitIndex0))),
% 14.39/9.64 inference(modus_ponens,[status(thm)],[9507, 9506])).
% 14.39/9.64 tff(9509,plain,
% 14.39/9.64 (v127(constB51, bitIndex0) <=> v130(constB51, bitIndex0)),
% 14.39/9.64 inference(unit_resolution,[status(thm)],[9508, 5004, 9469])).
% 14.39/9.64 tff(9510,plain,
% 14.39/9.64 (((~![B: $i] : ((~less_3(B)) | (v130(constB51, B) <=> b100(B)))) | ((~less_3(bitIndex0)) | (v130(constB51, bitIndex0) <=> b100(bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v130(constB51, B) <=> b100(B)))) | (~less_3(bitIndex0)) | (v130(constB51, bitIndex0) <=> b100(bitIndex0)))),
% 14.39/9.64 inference(rewrite,[status(thm)],[])).
% 14.39/9.64 tff(9511,plain,
% 14.39/9.64 ((~![B: $i] : ((~less_3(B)) | (v130(constB51, B) <=> b100(B)))) | ((~less_3(bitIndex0)) | (v130(constB51, bitIndex0) <=> b100(bitIndex0)))),
% 14.39/9.64 inference(quant_inst,[status(thm)],[])).
% 14.39/9.64 tff(9512,plain,
% 14.39/9.64 ((~![B: $i] : ((~less_3(B)) | (v130(constB51, B) <=> b100(B)))) | (~less_3(bitIndex0)) | (v130(constB51, bitIndex0) <=> b100(bitIndex0))),
% 14.39/9.64 inference(modus_ponens,[status(thm)],[9511, 9510])).
% 14.39/9.64 tff(9513,plain,
% 14.39/9.64 (v130(constB51, bitIndex0) <=> b100(bitIndex0)),
% 14.39/9.64 inference(unit_resolution,[status(thm)],[9512, 5004, 9478])).
% 14.39/9.64 tff(9514,plain,
% 14.39/9.64 ((~(v130(constB51, bitIndex0) <=> b100(bitIndex0))) | (~v130(constB51, bitIndex0)) | b100(bitIndex0)),
% 14.39/9.64 inference(tautology,[status(thm)],[])).
% 14.39/9.64 tff(9515,plain,
% 14.39/9.64 ((~(v130(constB51, bitIndex0) <=> b100(bitIndex0))) | (~v130(constB51, bitIndex0))),
% 14.39/9.64 inference(unit_resolution,[status(thm)],[9514, 5243])).
% 14.39/9.64 tff(9516,plain,
% 14.39/9.64 (~v130(constB51, bitIndex0)),
% 14.39/9.64 inference(unit_resolution,[status(thm)],[9515, 9513])).
% 14.39/9.64 tff(9517,plain,
% 14.39/9.64 ((~(v127(constB51, bitIndex0) <=> v130(constB51, bitIndex0))) | (~v127(constB51, bitIndex0)) | v130(constB51, bitIndex0)),
% 14.39/9.64 inference(tautology,[status(thm)],[])).
% 14.39/9.64 tff(9518,plain,
% 14.39/9.64 (~v127(constB51, bitIndex0)),
% 14.39/9.64 inference(unit_resolution,[status(thm)],[9517, 9516, 9509])).
% 14.39/9.64 tff(9519,plain,
% 14.39/9.64 ((~(v129(constB52, bitIndex0) <=> v127(constB51, bitIndex0))) | (~v129(constB52, bitIndex0)) | v127(constB51, bitIndex0)),
% 14.39/9.64 inference(tautology,[status(thm)],[])).
% 14.39/9.64 tff(9520,plain,
% 14.39/9.64 (~v129(constB52, bitIndex0)),
% 14.39/9.64 inference(unit_resolution,[status(thm)],[9519, 9518, 9505])).
% 14.39/9.64 tff(9521,plain,
% 14.39/9.64 ((~(v90(constB52, bitIndex0) <=> v129(constB52, bitIndex0))) | (~v90(constB52, bitIndex0)) | v129(constB52, bitIndex0)),
% 14.39/9.64 inference(tautology,[status(thm)],[])).
% 14.39/9.64 tff(9522,plain,
% 14.39/9.64 (~v90(constB52, bitIndex0)),
% 14.39/9.64 inference(unit_resolution,[status(thm)],[9521, 9520, 9501])).
% 14.39/9.64 tff(9523,plain,
% 14.39/9.64 ((~(v90(constB53, bitIndex0) <=> v90(constB52, bitIndex0))) | (~v90(constB53, bitIndex0)) | v90(constB52, bitIndex0)),
% 14.39/9.64 inference(tautology,[status(thm)],[])).
% 14.39/9.64 tff(9524,plain,
% 14.39/9.64 (~v90(constB53, bitIndex0)),
% 14.39/9.64 inference(unit_resolution,[status(thm)],[9523, 9522, 9497])).
% 14.39/9.64 tff(9525,plain,
% 14.39/9.64 (((~![B: $i] : ((~less_3(B)) | (v90(constB53, B) <=> v90(constB52, B)))) | ((~less_3(bitIndex1)) | (v90(constB53, bitIndex1) <=> v90(constB52, bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v90(constB53, B) <=> v90(constB52, B)))) | (~less_3(bitIndex1)) | (v90(constB53, bitIndex1) <=> v90(constB52, bitIndex1)))),
% 14.39/9.65 inference(rewrite,[status(thm)],[])).
% 14.39/9.65 tff(9526,plain,
% 14.39/9.65 ((~![B: $i] : ((~less_3(B)) | (v90(constB53, B) <=> v90(constB52, B)))) | ((~less_3(bitIndex1)) | (v90(constB53, bitIndex1) <=> v90(constB52, bitIndex1)))),
% 14.39/9.65 inference(quant_inst,[status(thm)],[])).
% 14.39/9.65 tff(9527,plain,
% 14.39/9.65 ((~![B: $i] : ((~less_3(B)) | (v90(constB53, B) <=> v90(constB52, B)))) | (~less_3(bitIndex1)) | (v90(constB53, bitIndex1) <=> v90(constB52, bitIndex1))),
% 14.39/9.65 inference(modus_ponens,[status(thm)],[9526, 9525])).
% 14.39/9.65 tff(9528,plain,
% 14.39/9.65 (v90(constB53, bitIndex1) <=> v90(constB52, bitIndex1)),
% 14.39/9.65 inference(unit_resolution,[status(thm)],[9527, 5017, 2581])).
% 14.39/9.65 tff(9529,plain,
% 14.39/9.65 (((~![B: $i] : ((~less_3(B)) | (v90(constB52, B) <=> v129(constB52, B)))) | ((~less_3(bitIndex1)) | (v90(constB52, bitIndex1) <=> v129(constB52, bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v90(constB52, B) <=> v129(constB52, B)))) | (~less_3(bitIndex1)) | (v90(constB52, bitIndex1) <=> v129(constB52, bitIndex1)))),
% 14.39/9.65 inference(rewrite,[status(thm)],[])).
% 14.39/9.65 tff(9530,plain,
% 14.39/9.65 ((~![B: $i] : ((~less_3(B)) | (v90(constB52, B) <=> v129(constB52, B)))) | ((~less_3(bitIndex1)) | (v90(constB52, bitIndex1) <=> v129(constB52, bitIndex1)))),
% 14.39/9.65 inference(quant_inst,[status(thm)],[])).
% 14.39/9.65 tff(9531,plain,
% 14.39/9.65 ((~![B: $i] : ((~less_3(B)) | (v90(constB52, B) <=> v129(constB52, B)))) | (~less_3(bitIndex1)) | (v90(constB52, bitIndex1) <=> v129(constB52, bitIndex1))),
% 14.39/9.65 inference(modus_ponens,[status(thm)],[9530, 9529])).
% 14.39/9.65 tff(9532,plain,
% 14.39/9.65 (v90(constB52, bitIndex1) <=> v129(constB52, bitIndex1)),
% 14.39/9.65 inference(unit_resolution,[status(thm)],[9531, 5017, 9453])).
% 14.39/9.65 tff(9533,plain,
% 14.39/9.65 (((~![B: $i] : ((~less_3(B)) | (v129(constB52, B) <=> v127(constB51, B)))) | ((~less_3(bitIndex1)) | (v129(constB52, bitIndex1) <=> v127(constB51, bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v129(constB52, B) <=> v127(constB51, B)))) | (~less_3(bitIndex1)) | (v129(constB52, bitIndex1) <=> v127(constB51, bitIndex1)))),
% 14.39/9.65 inference(rewrite,[status(thm)],[])).
% 14.39/9.65 tff(9534,plain,
% 14.39/9.65 ((~![B: $i] : ((~less_3(B)) | (v129(constB52, B) <=> v127(constB51, B)))) | ((~less_3(bitIndex1)) | (v129(constB52, bitIndex1) <=> v127(constB51, bitIndex1)))),
% 14.39/9.65 inference(quant_inst,[status(thm)],[])).
% 14.39/9.65 tff(9535,plain,
% 14.39/9.65 ((~![B: $i] : ((~less_3(B)) | (v129(constB52, B) <=> v127(constB51, B)))) | (~less_3(bitIndex1)) | (v129(constB52, bitIndex1) <=> v127(constB51, bitIndex1))),
% 14.39/9.65 inference(modus_ponens,[status(thm)],[9534, 9533])).
% 14.39/9.65 tff(9536,plain,
% 14.39/9.65 (v129(constB52, bitIndex1) <=> v127(constB51, bitIndex1)),
% 14.39/9.65 inference(unit_resolution,[status(thm)],[9535, 5017, 9461])).
% 14.39/9.65 tff(9537,plain,
% 14.39/9.65 (((~![B: $i] : ((~less_3(B)) | (v127(constB51, B) <=> v130(constB51, B)))) | ((~less_3(bitIndex1)) | (v127(constB51, bitIndex1) <=> v130(constB51, bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v127(constB51, B) <=> v130(constB51, B)))) | (~less_3(bitIndex1)) | (v127(constB51, bitIndex1) <=> v130(constB51, bitIndex1)))),
% 14.39/9.65 inference(rewrite,[status(thm)],[])).
% 14.39/9.65 tff(9538,plain,
% 14.39/9.65 ((~![B: $i] : ((~less_3(B)) | (v127(constB51, B) <=> v130(constB51, B)))) | ((~less_3(bitIndex1)) | (v127(constB51, bitIndex1) <=> v130(constB51, bitIndex1)))),
% 14.39/9.65 inference(quant_inst,[status(thm)],[])).
% 14.39/9.65 tff(9539,plain,
% 14.39/9.65 ((~![B: $i] : ((~less_3(B)) | (v127(constB51, B) <=> v130(constB51, B)))) | (~less_3(bitIndex1)) | (v127(constB51, bitIndex1) <=> v130(constB51, bitIndex1))),
% 14.39/9.65 inference(modus_ponens,[status(thm)],[9538, 9537])).
% 14.39/9.65 tff(9540,plain,
% 14.39/9.65 (v127(constB51, bitIndex1) <=> v130(constB51, bitIndex1)),
% 14.39/9.65 inference(unit_resolution,[status(thm)],[9539, 5017, 9469])).
% 14.39/9.65 tff(9541,plain,
% 14.39/9.65 (((~![B: $i] : ((~less_3(B)) | (v130(constB51, B) <=> b100(B)))) | ((~less_3(bitIndex1)) | (v130(constB51, bitIndex1) <=> b100(bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v130(constB51, B) <=> b100(B)))) | (~less_3(bitIndex1)) | (v130(constB51, bitIndex1) <=> b100(bitIndex1)))),
% 14.39/9.65 inference(rewrite,[status(thm)],[])).
% 14.39/9.65 tff(9542,plain,
% 14.39/9.65 ((~![B: $i] : ((~less_3(B)) | (v130(constB51, B) <=> b100(B)))) | ((~less_3(bitIndex1)) | (v130(constB51, bitIndex1) <=> b100(bitIndex1)))),
% 14.39/9.65 inference(quant_inst,[status(thm)],[])).
% 14.39/9.65 tff(9543,plain,
% 14.39/9.65 ((~![B: $i] : ((~less_3(B)) | (v130(constB51, B) <=> b100(B)))) | (~less_3(bitIndex1)) | (v130(constB51, bitIndex1) <=> b100(bitIndex1))),
% 14.39/9.65 inference(modus_ponens,[status(thm)],[9542, 9541])).
% 14.39/9.65 tff(9544,plain,
% 14.39/9.65 (v130(constB51, bitIndex1) <=> b100(bitIndex1)),
% 14.39/9.65 inference(unit_resolution,[status(thm)],[9543, 5017, 9478])).
% 14.39/9.65 tff(9545,plain,
% 14.39/9.65 ((~(v130(constB51, bitIndex1) <=> b100(bitIndex1))) | (~v130(constB51, bitIndex1)) | b100(bitIndex1)),
% 14.39/9.65 inference(tautology,[status(thm)],[])).
% 14.39/9.65 tff(9546,plain,
% 14.39/9.65 ((~(v130(constB51, bitIndex1) <=> b100(bitIndex1))) | (~v130(constB51, bitIndex1))),
% 14.39/9.65 inference(unit_resolution,[status(thm)],[9545, 5277])).
% 14.39/9.65 tff(9547,plain,
% 14.39/9.65 (~v130(constB51, bitIndex1)),
% 14.39/9.65 inference(unit_resolution,[status(thm)],[9546, 9544])).
% 14.39/9.65 tff(9548,plain,
% 14.39/9.65 ((~(v127(constB51, bitIndex1) <=> v130(constB51, bitIndex1))) | (~v127(constB51, bitIndex1)) | v130(constB51, bitIndex1)),
% 14.39/9.65 inference(tautology,[status(thm)],[])).
% 14.39/9.65 tff(9549,plain,
% 14.39/9.65 (~v127(constB51, bitIndex1)),
% 14.39/9.65 inference(unit_resolution,[status(thm)],[9548, 9547, 9540])).
% 14.39/9.65 tff(9550,plain,
% 14.39/9.65 ((~(v129(constB52, bitIndex1) <=> v127(constB51, bitIndex1))) | (~v129(constB52, bitIndex1)) | v127(constB51, bitIndex1)),
% 14.39/9.65 inference(tautology,[status(thm)],[])).
% 14.39/9.65 tff(9551,plain,
% 14.39/9.65 (~v129(constB52, bitIndex1)),
% 14.39/9.65 inference(unit_resolution,[status(thm)],[9550, 9549, 9536])).
% 14.39/9.65 tff(9552,plain,
% 14.39/9.65 ((~(v90(constB52, bitIndex1) <=> v129(constB52, bitIndex1))) | (~v90(constB52, bitIndex1)) | v129(constB52, bitIndex1)),
% 14.39/9.65 inference(tautology,[status(thm)],[])).
% 14.39/9.65 tff(9553,plain,
% 14.39/9.65 (~v90(constB52, bitIndex1)),
% 14.39/9.65 inference(unit_resolution,[status(thm)],[9552, 9551, 9532])).
% 14.39/9.65 tff(9554,plain,
% 14.39/9.65 ((~(v90(constB53, bitIndex1) <=> v90(constB52, bitIndex1))) | (~v90(constB53, bitIndex1)) | v90(constB52, bitIndex1)),
% 14.39/9.65 inference(tautology,[status(thm)],[])).
% 14.39/9.65 tff(9555,plain,
% 14.39/9.65 (~v90(constB53, bitIndex1)),
% 14.39/9.65 inference(unit_resolution,[status(thm)],[9554, 9553, 9528])).
% 14.39/9.65 tff(9556,plain,
% 14.39/9.65 ((~((~v90(constB53, bitIndex2)) | v90(constB53, bitIndex1) | v90(constB53, bitIndex0))) | (~v90(constB53, bitIndex2)) | v90(constB53, bitIndex1) | v90(constB53, bitIndex0)),
% 14.39/9.65 inference(tautology,[status(thm)],[])).
% 14.39/9.65 tff(9557,plain,
% 14.39/9.65 (~((~v90(constB53, bitIndex2)) | v90(constB53, bitIndex1) | v90(constB53, bitIndex0))),
% 14.39/9.65 inference(unit_resolution,[status(thm)],[9556, 9555, 9524, 9493])).
% 14.39/9.65 tff(9558,plain,
% 14.39/9.65 ((~(v123(constB53) <=> (~((~v90(constB53, bitIndex2)) | v90(constB53, bitIndex1) | v90(constB53, bitIndex0))))) | v123(constB53) | ((~v90(constB53, bitIndex2)) | v90(constB53, bitIndex1) | v90(constB53, bitIndex0))),
% 14.39/9.65 inference(tautology,[status(thm)],[])).
% 14.39/9.65 tff(9559,plain,
% 14.39/9.65 (v123(constB53)),
% 14.39/9.65 inference(unit_resolution,[status(thm)],[9558, 9557, 2553])).
% 14.39/9.65 tff(9560,plain,
% 14.39/9.65 ((v116(constB53) | v123(constB53)) | (~v123(constB53))),
% 14.39/9.65 inference(tautology,[status(thm)],[])).
% 14.39/9.65 tff(9561,plain,
% 14.39/9.65 (v116(constB53) | v123(constB53)),
% 14.39/9.65 inference(unit_resolution,[status(thm)],[9560, 9559])).
% 14.39/9.65 tff(9562,plain,
% 14.39/9.65 ((~(v115(constB53) <=> (v116(constB53) | v123(constB53)))) | v115(constB53) | (~(v116(constB53) | v123(constB53)))),
% 14.39/9.65 inference(tautology,[status(thm)],[])).
% 14.39/9.65 tff(9563,plain,
% 14.39/9.65 (v115(constB53)),
% 14.39/9.65 inference(unit_resolution,[status(thm)],[9562, 9561, 2546])).
% 14.39/9.65 tff(9564,plain,
% 14.39/9.65 ((v115(constB53) | v124(constB53)) | (~v115(constB53))),
% 14.39/9.65 inference(tautology,[status(thm)],[])).
% 14.39/9.65 tff(9565,plain,
% 14.39/9.65 (v115(constB53) | v124(constB53)),
% 14.39/9.65 inference(unit_resolution,[status(thm)],[9564, 9563])).
% 14.39/9.65 tff(9566,plain,
% 14.39/9.65 ((~(v114(constB53) <=> (v115(constB53) | v124(constB53)))) | v114(constB53) | (~(v115(constB53) | v124(constB53)))),
% 14.39/9.65 inference(tautology,[status(thm)],[])).
% 14.39/9.65 tff(9567,plain,
% 14.39/9.65 (v114(constB53)),
% 14.39/9.65 inference(unit_resolution,[status(thm)],[9566, 9565, 2544])).
% 14.39/9.65 tff(9568,plain,
% 14.39/9.65 ((v114(constB53) | v125(constB53)) | (~v114(constB53))),
% 14.39/9.65 inference(tautology,[status(thm)],[])).
% 14.39/9.65 tff(9569,plain,
% 14.39/9.65 (v114(constB53) | v125(constB53)),
% 14.39/9.65 inference(unit_resolution,[status(thm)],[9568, 9567])).
% 14.39/9.65 tff(9570,plain,
% 14.39/9.65 ((~(v113(constB53) <=> (v114(constB53) | v125(constB53)))) | v113(constB53) | (~(v114(constB53) | v125(constB53)))),
% 14.39/9.65 inference(tautology,[status(thm)],[])).
% 14.39/9.65 tff(9571,plain,
% 14.39/9.65 (v113(constB53)),
% 14.39/9.65 inference(unit_resolution,[status(thm)],[9570, 9569, 2542])).
% 14.39/9.65 tff(9572,plain,
% 14.39/9.65 ((~![VarCurr: $i] : ((~v126(VarCurr)) <=> v111(VarCurr))) | ((~v126(constB53)) <=> v111(constB53))),
% 14.39/9.65 inference(quant_inst,[status(thm)],[])).
% 14.39/9.65 tff(9573,plain,
% 14.39/9.65 ((~v126(constB53)) <=> v111(constB53)),
% 14.39/9.65 inference(unit_resolution,[status(thm)],[9572, 5074])).
% 14.39/9.65 tff(9574,plain,
% 14.39/9.65 ((~![VarCurr: $i] : (v111(VarCurr) <=> v26(VarCurr))) | (v111(constB53) <=> v26(constB53))),
% 14.39/9.65 inference(quant_inst,[status(thm)],[])).
% 14.39/9.65 tff(9575,plain,
% 14.39/9.65 (v111(constB53) <=> v26(constB53)),
% 14.39/9.65 inference(unit_resolution,[status(thm)],[9574, 5086])).
% 14.39/9.65 tff(9576,plain,
% 14.39/9.65 ((~![VarCurr: $i] : (~v26(VarCurr))) | (~v26(constB53))),
% 14.39/9.65 inference(quant_inst,[status(thm)],[])).
% 14.39/9.65 tff(9577,plain,
% 14.39/9.65 (~v26(constB53)),
% 14.39/9.65 inference(unit_resolution,[status(thm)],[9576, 5098])).
% 14.39/9.65 tff(9578,plain,
% 14.39/9.65 ((~(v111(constB53) <=> v26(constB53))) | (~v111(constB53)) | v26(constB53)),
% 14.39/9.65 inference(tautology,[status(thm)],[])).
% 14.39/9.65 tff(9579,plain,
% 14.39/9.65 ((~(v111(constB53) <=> v26(constB53))) | (~v111(constB53))),
% 14.39/9.65 inference(unit_resolution,[status(thm)],[9578, 9577])).
% 14.39/9.65 tff(9580,plain,
% 14.39/9.65 (~v111(constB53)),
% 14.39/9.65 inference(unit_resolution,[status(thm)],[9579, 9575])).
% 14.39/9.65 tff(9581,plain,
% 14.39/9.65 ((~((~v126(constB53)) <=> v111(constB53))) | v126(constB53) | v111(constB53)),
% 14.39/9.65 inference(tautology,[status(thm)],[])).
% 14.39/9.65 tff(9582,plain,
% 14.39/9.65 ((~((~v126(constB53)) <=> v111(constB53))) | v126(constB53)),
% 14.39/9.65 inference(unit_resolution,[status(thm)],[9581, 9580])).
% 14.39/9.65 tff(9583,plain,
% 14.39/9.65 (v126(constB53)),
% 14.39/9.65 inference(unit_resolution,[status(thm)],[9582, 9573])).
% 14.39/9.65 tff(9584,plain,
% 14.39/9.65 ((~((~v113(constB53)) | (~v126(constB53)))) | (~v113(constB53)) | (~v126(constB53))),
% 14.39/9.65 inference(tautology,[status(thm)],[])).
% 14.39/9.65 tff(9585,plain,
% 14.39/9.65 ((~((~v113(constB53)) | (~v126(constB53)))) | (~v113(constB53))),
% 14.39/9.65 inference(unit_resolution,[status(thm)],[9584, 9583])).
% 14.39/9.65 tff(9586,plain,
% 14.39/9.65 (~((~v113(constB53)) | (~v126(constB53)))),
% 14.39/9.65 inference(unit_resolution,[status(thm)],[9585, 9571])).
% 14.39/9.65 tff(9587,plain,
% 14.39/9.65 ((~(v112(constB53) <=> (~((~v113(constB53)) | (~v126(constB53)))))) | v112(constB53) | ((~v113(constB53)) | (~v126(constB53)))),
% 14.39/9.65 inference(tautology,[status(thm)],[])).
% 14.39/9.65 tff(9588,plain,
% 14.39/9.65 (v112(constB53)),
% 14.39/9.65 inference(unit_resolution,[status(thm)],[9587, 9586, 2540])).
% 14.39/9.65 tff(9589,plain,
% 14.39/9.65 ((v111(constB53) | v112(constB53)) | (~v112(constB53))),
% 14.39/9.65 inference(tautology,[status(thm)],[])).
% 14.39/9.65 tff(9590,plain,
% 14.39/9.65 (v111(constB53) | v112(constB53)),
% 14.39/9.65 inference(unit_resolution,[status(thm)],[9589, 9588])).
% 14.39/9.65 tff(9591,plain,
% 14.39/9.65 ((~(v108(constB53) <=> (v111(constB53) | v112(constB53)))) | v108(constB53) | (~(v111(constB53) | v112(constB53)))),
% 14.39/9.65 inference(tautology,[status(thm)],[])).
% 14.39/9.65 tff(9592,plain,
% 14.39/9.65 (v108(constB53)),
% 14.39/9.65 inference(unit_resolution,[status(thm)],[9591, 9590, 2538])).
% 14.39/9.65 tff(9593,plain,
% 14.39/9.65 ((~(v110(constB54) <=> v108(constB53))) | v110(constB54) | (~v108(constB53))),
% 14.39/9.65 inference(tautology,[status(thm)],[])).
% 14.39/9.65 tff(9594,plain,
% 14.39/9.65 (v110(constB54)),
% 14.39/9.65 inference(unit_resolution,[status(thm)],[9593, 9592, 2536])).
% 14.39/9.65 tff(9595,plain,
% 14.39/9.65 ((~((~v101(constB54)) | (~v110(constB54)))) | (~v101(constB54)) | (~v110(constB54))),
% 14.39/9.65 inference(tautology,[status(thm)],[])).
% 14.39/9.65 tff(9596,plain,
% 14.39/9.65 (~((~v101(constB54)) | (~v110(constB54)))),
% 14.39/9.65 inference(unit_resolution,[status(thm)],[9595, 9594, 2532])).
% 14.39/9.65 tff(9597,plain,
% 14.39/9.65 ((~(v100(constB54) <=> (~((~v101(constB54)) | (~v110(constB54)))))) | v100(constB54) | ((~v101(constB54)) | (~v110(constB54)))),
% 14.39/9.65 inference(tautology,[status(thm)],[])).
% 14.39/9.65 tff(9598,plain,
% 14.39/9.65 (v100(constB54)),
% 14.39/9.65 inference(unit_resolution,[status(thm)],[9597, 9596, 2501])).
% 14.39/9.65 tff(9599,plain,
% 14.39/9.65 (((~![VarNext: $i] : ((~v100(VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v129(VarNext, B))))) | ((~v100(constB54)) | ![B: $i] : ((~less_3(B)) | (v90(constB54, B) <=> v129(constB54, B))))) <=> ((~![VarNext: $i] : ((~v100(VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v129(VarNext, B))))) | (~v100(constB54)) | ![B: $i] : ((~less_3(B)) | (v90(constB54, B) <=> v129(constB54, B))))),
% 14.39/9.65 inference(rewrite,[status(thm)],[])).
% 14.39/9.65 tff(9600,plain,
% 14.39/9.65 ((~![VarNext: $i] : ((~v100(VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v129(VarNext, B))))) | ((~v100(constB54)) | ![B: $i] : ((~less_3(B)) | (v90(constB54, B) <=> v129(constB54, B))))),
% 14.39/9.65 inference(quant_inst,[status(thm)],[])).
% 14.39/9.65 tff(9601,plain,
% 14.39/9.65 ((~![VarNext: $i] : ((~v100(VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v129(VarNext, B))))) | (~v100(constB54)) | ![B: $i] : ((~less_3(B)) | (v90(constB54, B) <=> v129(constB54, B)))),
% 14.39/9.65 inference(modus_ponens,[status(thm)],[9600, 9599])).
% 14.39/9.65 tff(9602,plain,
% 14.39/9.65 ((~v100(constB54)) | ![B: $i] : ((~less_3(B)) | (v90(constB54, B) <=> v129(constB54, B)))),
% 14.39/9.65 inference(unit_resolution,[status(thm)],[9601, 5134])).
% 14.39/9.65 tff(9603,plain,
% 14.39/9.65 (![B: $i] : ((~less_3(B)) | (v90(constB54, B) <=> v129(constB54, B)))),
% 14.39/9.65 inference(unit_resolution,[status(thm)],[9602, 9598])).
% 14.39/9.65 tff(9604,plain,
% 14.39/9.65 (((~![B: $i] : ((~less_3(B)) | (v90(constB54, B) <=> v129(constB54, B)))) | ((~less_3(bitIndex2)) | (v90(constB54, bitIndex2) <=> v129(constB54, bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v90(constB54, B) <=> v129(constB54, B)))) | (~less_3(bitIndex2)) | (v90(constB54, bitIndex2) <=> v129(constB54, bitIndex2)))),
% 14.39/9.65 inference(rewrite,[status(thm)],[])).
% 14.39/9.65 tff(9605,plain,
% 14.39/9.65 ((~![B: $i] : ((~less_3(B)) | (v90(constB54, B) <=> v129(constB54, B)))) | ((~less_3(bitIndex2)) | (v90(constB54, bitIndex2) <=> v129(constB54, bitIndex2)))),
% 14.39/9.65 inference(quant_inst,[status(thm)],[])).
% 14.39/9.65 tff(9606,plain,
% 14.39/9.65 ((~![B: $i] : ((~less_3(B)) | (v90(constB54, B) <=> v129(constB54, B)))) | (~less_3(bitIndex2)) | (v90(constB54, bitIndex2) <=> v129(constB54, bitIndex2))),
% 14.39/9.65 inference(modus_ponens,[status(thm)],[9605, 9604])).
% 14.39/9.65 tff(9607,plain,
% 14.39/9.65 (v90(constB54, bitIndex2) <=> v129(constB54, bitIndex2)),
% 14.39/9.65 inference(unit_resolution,[status(thm)],[9606, 413, 9603])).
% 14.39/9.65 tff(9608,plain,
% 14.39/9.65 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v129(VarNext, B) <=> v127(VarCurr, B))))) | ((~nextState(constB53, constB54)) | ![B: $i] : ((~less_3(B)) | (v129(constB54, B) <=> v127(constB53, B))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v129(VarNext, B) <=> v127(VarCurr, B))))) | (~nextState(constB53, constB54)) | ![B: $i] : ((~less_3(B)) | (v129(constB54, B) <=> v127(constB53, B))))),
% 14.39/9.65 inference(rewrite,[status(thm)],[])).
% 14.39/9.65 tff(9609,plain,
% 14.39/9.65 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v129(VarNext, B) <=> v127(VarCurr, B))))) | ((~nextState(constB53, constB54)) | ![B: $i] : ((~less_3(B)) | (v129(constB54, B) <=> v127(constB53, B))))),
% 14.39/9.65 inference(quant_inst,[status(thm)],[])).
% 14.39/9.65 tff(9610,plain,
% 14.39/9.65 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v129(VarNext, B) <=> v127(VarCurr, B))))) | (~nextState(constB53, constB54)) | ![B: $i] : ((~less_3(B)) | (v129(constB54, B) <=> v127(constB53, B)))),
% 14.39/9.65 inference(modus_ponens,[status(thm)],[9609, 9608])).
% 14.39/9.65 tff(9611,plain,
% 14.39/9.65 (![B: $i] : ((~less_3(B)) | (v129(constB54, B) <=> v127(constB53, B)))),
% 14.39/9.65 inference(unit_resolution,[status(thm)],[9610, 2497, 5156])).
% 14.39/9.65 tff(9612,plain,
% 14.39/9.65 (((~![B: $i] : ((~less_3(B)) | (v129(constB54, B) <=> v127(constB53, B)))) | ((~less_3(bitIndex2)) | (v129(constB54, bitIndex2) <=> v127(constB53, bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v129(constB54, B) <=> v127(constB53, B)))) | (~less_3(bitIndex2)) | (v129(constB54, bitIndex2) <=> v127(constB53, bitIndex2)))),
% 14.39/9.65 inference(rewrite,[status(thm)],[])).
% 14.39/9.65 tff(9613,plain,
% 14.39/9.65 ((~![B: $i] : ((~less_3(B)) | (v129(constB54, B) <=> v127(constB53, B)))) | ((~less_3(bitIndex2)) | (v129(constB54, bitIndex2) <=> v127(constB53, bitIndex2)))),
% 14.39/9.65 inference(quant_inst,[status(thm)],[])).
% 14.39/9.65 tff(9614,plain,
% 14.39/9.65 ((~![B: $i] : ((~less_3(B)) | (v129(constB54, B) <=> v127(constB53, B)))) | (~less_3(bitIndex2)) | (v129(constB54, bitIndex2) <=> v127(constB53, bitIndex2))),
% 14.39/9.65 inference(modus_ponens,[status(thm)],[9613, 9612])).
% 14.39/9.65 tff(9615,plain,
% 14.39/9.65 (v129(constB54, bitIndex2) <=> v127(constB53, bitIndex2)),
% 14.39/9.65 inference(unit_resolution,[status(thm)],[9614, 413, 9611])).
% 14.39/9.65 tff(9616,plain,
% 14.39/9.65 (((~![VarCurr: $i] : (v111(VarCurr) | ![B: $i] : ((~less_3(B)) | (v127(VarCurr, B) <=> v130(VarCurr, B))))) | (v111(constB53) | ![B: $i] : ((~less_3(B)) | (v127(constB53, B) <=> v130(constB53, B))))) <=> ((~![VarCurr: $i] : (v111(VarCurr) | ![B: $i] : ((~less_3(B)) | (v127(VarCurr, B) <=> v130(VarCurr, B))))) | v111(constB53) | ![B: $i] : ((~less_3(B)) | (v127(constB53, B) <=> v130(constB53, B))))),
% 14.39/9.65 inference(rewrite,[status(thm)],[])).
% 14.39/9.65 tff(9617,plain,
% 14.39/9.65 ((~![VarCurr: $i] : (v111(VarCurr) | ![B: $i] : ((~less_3(B)) | (v127(VarCurr, B) <=> v130(VarCurr, B))))) | (v111(constB53) | ![B: $i] : ((~less_3(B)) | (v127(constB53, B) <=> v130(constB53, B))))),
% 14.39/9.65 inference(quant_inst,[status(thm)],[])).
% 14.39/9.65 tff(9618,plain,
% 14.39/9.65 ((~![VarCurr: $i] : (v111(VarCurr) | ![B: $i] : ((~less_3(B)) | (v127(VarCurr, B) <=> v130(VarCurr, B))))) | v111(constB53) | ![B: $i] : ((~less_3(B)) | (v127(constB53, B) <=> v130(constB53, B)))),
% 14.39/9.65 inference(modus_ponens,[status(thm)],[9617, 9616])).
% 14.39/9.65 tff(9619,plain,
% 14.39/9.65 (![B: $i] : ((~less_3(B)) | (v127(constB53, B) <=> v130(constB53, B)))),
% 14.39/9.65 inference(unit_resolution,[status(thm)],[9618, 5177, 9580])).
% 14.39/9.65 tff(9620,plain,
% 14.39/9.65 (((~![B: $i] : ((~less_3(B)) | (v127(constB53, B) <=> v130(constB53, B)))) | ((~less_3(bitIndex2)) | (v127(constB53, bitIndex2) <=> v130(constB53, bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v127(constB53, B) <=> v130(constB53, B)))) | (~less_3(bitIndex2)) | (v127(constB53, bitIndex2) <=> v130(constB53, bitIndex2)))),
% 14.39/9.65 inference(rewrite,[status(thm)],[])).
% 14.39/9.65 tff(9621,plain,
% 14.39/9.65 ((~![B: $i] : ((~less_3(B)) | (v127(constB53, B) <=> v130(constB53, B)))) | ((~less_3(bitIndex2)) | (v127(constB53, bitIndex2) <=> v130(constB53, bitIndex2)))),
% 14.39/9.65 inference(quant_inst,[status(thm)],[])).
% 14.39/9.65 tff(9622,plain,
% 14.39/9.65 ((~![B: $i] : ((~less_3(B)) | (v127(constB53, B) <=> v130(constB53, B)))) | (~less_3(bitIndex2)) | (v127(constB53, bitIndex2) <=> v130(constB53, bitIndex2))),
% 14.39/9.65 inference(modus_ponens,[status(thm)],[9621, 9620])).
% 14.39/9.65 tff(9623,plain,
% 14.39/9.65 (v127(constB53, bitIndex2) <=> v130(constB53, bitIndex2)),
% 14.39/9.65 inference(unit_resolution,[status(thm)],[9622, 413, 9619])).
% 14.39/9.65 tff(9624,plain,
% 14.39/9.65 (((~![VarCurr: $i] : ((~v123(VarCurr)) | ![B: $i] : ((~less_3(B)) | (v130(VarCurr, B) <=> b110(B))))) | ((~v123(constB53)) | ![B: $i] : ((~less_3(B)) | (v130(constB53, B) <=> b110(B))))) <=> ((~![VarCurr: $i] : ((~v123(VarCurr)) | ![B: $i] : ((~less_3(B)) | (v130(VarCurr, B) <=> b110(B))))) | (~v123(constB53)) | ![B: $i] : ((~less_3(B)) | (v130(constB53, B) <=> b110(B))))),
% 14.39/9.65 inference(rewrite,[status(thm)],[])).
% 14.39/9.65 tff(9625,plain,
% 14.39/9.65 ((~![VarCurr: $i] : ((~v123(VarCurr)) | ![B: $i] : ((~less_3(B)) | (v130(VarCurr, B) <=> b110(B))))) | ((~v123(constB53)) | ![B: $i] : ((~less_3(B)) | (v130(constB53, B) <=> b110(B))))),
% 14.39/9.65 inference(quant_inst,[status(thm)],[])).
% 14.39/9.65 tff(9626,plain,
% 14.39/9.65 ((~![VarCurr: $i] : ((~v123(VarCurr)) | ![B: $i] : ((~less_3(B)) | (v130(VarCurr, B) <=> b110(B))))) | (~v123(constB53)) | ![B: $i] : ((~less_3(B)) | (v130(constB53, B) <=> b110(B)))),
% 14.39/9.65 inference(modus_ponens,[status(thm)],[9625, 9624])).
% 14.39/9.65 tff(9627,plain,
% 14.39/9.65 ((~v123(constB53)) | ![B: $i] : ((~less_3(B)) | (v130(constB53, B) <=> b110(B)))),
% 14.39/9.65 inference(unit_resolution,[status(thm)],[9626, 5369])).
% 14.39/9.65 tff(9628,plain,
% 14.39/9.65 (![B: $i] : ((~less_3(B)) | (v130(constB53, B) <=> b110(B)))),
% 14.39/9.65 inference(unit_resolution,[status(thm)],[9627, 9559])).
% 14.39/9.65 tff(9629,plain,
% 14.39/9.65 (((~![B: $i] : ((~less_3(B)) | (v130(constB53, B) <=> b110(B)))) | ((~less_3(bitIndex2)) | (v130(constB53, bitIndex2) <=> b110(bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v130(constB53, B) <=> b110(B)))) | (~less_3(bitIndex2)) | (v130(constB53, bitIndex2) <=> b110(bitIndex2)))),
% 14.39/9.65 inference(rewrite,[status(thm)],[])).
% 14.39/9.65 tff(9630,plain,
% 14.39/9.65 ((~![B: $i] : ((~less_3(B)) | (v130(constB53, B) <=> b110(B)))) | ((~less_3(bitIndex2)) | (v130(constB53, bitIndex2) <=> b110(bitIndex2)))),
% 14.39/9.65 inference(quant_inst,[status(thm)],[])).
% 14.39/9.65 tff(9631,plain,
% 14.39/9.65 ((~![B: $i] : ((~less_3(B)) | (v130(constB53, B) <=> b110(B)))) | (~less_3(bitIndex2)) | (v130(constB53, bitIndex2) <=> b110(bitIndex2))),
% 14.39/9.65 inference(modus_ponens,[status(thm)],[9630, 9629])).
% 14.39/9.65 tff(9632,plain,
% 14.39/9.65 (v130(constB53, bitIndex2) <=> b110(bitIndex2)),
% 14.39/9.65 inference(unit_resolution,[status(thm)],[9631, 413, 9628])).
% 14.39/9.65 tff(9633,plain,
% 14.39/9.65 ((~(v130(constB53, bitIndex2) <=> b110(bitIndex2))) | v130(constB53, bitIndex2) | (~b110(bitIndex2))),
% 14.39/9.65 inference(tautology,[status(thm)],[])).
% 14.39/9.65 tff(9634,plain,
% 14.39/9.65 ((~(v130(constB53, bitIndex2) <=> b110(bitIndex2))) | v130(constB53, bitIndex2)),
% 14.39/9.65 inference(unit_resolution,[status(thm)],[9633, 5381])).
% 14.39/9.65 tff(9635,plain,
% 14.39/9.65 (v130(constB53, bitIndex2)),
% 14.39/9.65 inference(unit_resolution,[status(thm)],[9634, 9632])).
% 14.39/9.65 tff(9636,plain,
% 14.39/9.65 ((~(v127(constB53, bitIndex2) <=> v130(constB53, bitIndex2))) | v127(constB53, bitIndex2) | (~v130(constB53, bitIndex2))),
% 14.39/9.65 inference(tautology,[status(thm)],[])).
% 14.39/9.65 tff(9637,plain,
% 14.39/9.65 (v127(constB53, bitIndex2)),
% 14.39/9.65 inference(unit_resolution,[status(thm)],[9636, 9635, 9623])).
% 14.39/9.65 tff(9638,plain,
% 14.39/9.65 ((~(v129(constB54, bitIndex2) <=> v127(constB53, bitIndex2))) | v129(constB54, bitIndex2) | (~v127(constB53, bitIndex2))),
% 14.39/9.65 inference(tautology,[status(thm)],[])).
% 14.39/9.65 tff(9639,plain,
% 14.39/9.65 (v129(constB54, bitIndex2)),
% 14.39/9.65 inference(unit_resolution,[status(thm)],[9638, 9637, 9615])).
% 14.39/9.65 tff(9640,plain,
% 14.39/9.65 ((~(v90(constB54, bitIndex2) <=> v129(constB54, bitIndex2))) | v90(constB54, bitIndex2) | (~v129(constB54, bitIndex2))),
% 14.39/9.65 inference(tautology,[status(thm)],[])).
% 14.39/9.65 tff(9641,plain,
% 14.39/9.65 (v90(constB54, bitIndex2)),
% 14.39/9.65 inference(unit_resolution,[status(thm)],[9640, 9639, 9607])).
% 14.39/9.65 tff(9642,plain,
% 14.39/9.65 ((~(v90(constB55, bitIndex2) <=> v90(constB54, bitIndex2))) | v90(constB55, bitIndex2) | (~v90(constB54, bitIndex2))),
% 14.39/9.65 inference(tautology,[status(thm)],[])).
% 14.39/9.65 tff(9643,plain,
% 14.39/9.65 (v90(constB55, bitIndex2)),
% 14.39/9.65 inference(unit_resolution,[status(thm)],[9642, 9641, 2494])).
% 14.39/9.65 tff(9644,plain,
% 14.39/9.65 (((~![B: $i] : ((~less_3(B)) | (v90(constB55, B) <=> v90(constB54, B)))) | ((~less_3(bitIndex0)) | (v90(constB55, bitIndex0) <=> v90(constB54, bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v90(constB55, B) <=> v90(constB54, B)))) | (~less_3(bitIndex0)) | (v90(constB55, bitIndex0) <=> v90(constB54, bitIndex0)))),
% 14.39/9.65 inference(rewrite,[status(thm)],[])).
% 14.39/9.65 tff(9645,plain,
% 14.39/9.65 ((~![B: $i] : ((~less_3(B)) | (v90(constB55, B) <=> v90(constB54, B)))) | ((~less_3(bitIndex0)) | (v90(constB55, bitIndex0) <=> v90(constB54, bitIndex0)))),
% 14.39/9.65 inference(quant_inst,[status(thm)],[])).
% 14.39/9.65 tff(9646,plain,
% 14.39/9.65 ((~![B: $i] : ((~less_3(B)) | (v90(constB55, B) <=> v90(constB54, B)))) | (~less_3(bitIndex0)) | (v90(constB55, bitIndex0) <=> v90(constB54, bitIndex0))),
% 14.39/9.65 inference(modus_ponens,[status(thm)],[9645, 9644])).
% 14.39/9.65 tff(9647,plain,
% 14.39/9.65 (v90(constB55, bitIndex0) <=> v90(constB54, bitIndex0)),
% 14.39/9.65 inference(unit_resolution,[status(thm)],[9646, 5004, 2490])).
% 14.39/9.65 tff(9648,plain,
% 14.39/9.65 (((~![B: $i] : ((~less_3(B)) | (v90(constB54, B) <=> v129(constB54, B)))) | ((~less_3(bitIndex0)) | (v90(constB54, bitIndex0) <=> v129(constB54, bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v90(constB54, B) <=> v129(constB54, B)))) | (~less_3(bitIndex0)) | (v90(constB54, bitIndex0) <=> v129(constB54, bitIndex0)))),
% 14.39/9.65 inference(rewrite,[status(thm)],[])).
% 14.39/9.65 tff(9649,plain,
% 14.39/9.65 ((~![B: $i] : ((~less_3(B)) | (v90(constB54, B) <=> v129(constB54, B)))) | ((~less_3(bitIndex0)) | (v90(constB54, bitIndex0) <=> v129(constB54, bitIndex0)))),
% 14.39/9.65 inference(quant_inst,[status(thm)],[])).
% 14.39/9.65 tff(9650,plain,
% 14.39/9.65 ((~![B: $i] : ((~less_3(B)) | (v90(constB54, B) <=> v129(constB54, B)))) | (~less_3(bitIndex0)) | (v90(constB54, bitIndex0) <=> v129(constB54, bitIndex0))),
% 14.39/9.65 inference(modus_ponens,[status(thm)],[9649, 9648])).
% 14.39/9.65 tff(9651,plain,
% 14.39/9.65 (v90(constB54, bitIndex0) <=> v129(constB54, bitIndex0)),
% 14.39/9.65 inference(unit_resolution,[status(thm)],[9650, 5004, 9603])).
% 14.39/9.65 tff(9652,plain,
% 14.39/9.65 (((~![B: $i] : ((~less_3(B)) | (v129(constB54, B) <=> v127(constB53, B)))) | ((~less_3(bitIndex0)) | (v129(constB54, bitIndex0) <=> v127(constB53, bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v129(constB54, B) <=> v127(constB53, B)))) | (~less_3(bitIndex0)) | (v129(constB54, bitIndex0) <=> v127(constB53, bitIndex0)))),
% 14.39/9.65 inference(rewrite,[status(thm)],[])).
% 14.39/9.65 tff(9653,plain,
% 14.39/9.65 ((~![B: $i] : ((~less_3(B)) | (v129(constB54, B) <=> v127(constB53, B)))) | ((~less_3(bitIndex0)) | (v129(constB54, bitIndex0) <=> v127(constB53, bitIndex0)))),
% 14.39/9.65 inference(quant_inst,[status(thm)],[])).
% 14.39/9.65 tff(9654,plain,
% 14.39/9.65 ((~![B: $i] : ((~less_3(B)) | (v129(constB54, B) <=> v127(constB53, B)))) | (~less_3(bitIndex0)) | (v129(constB54, bitIndex0) <=> v127(constB53, bitIndex0))),
% 14.39/9.65 inference(modus_ponens,[status(thm)],[9653, 9652])).
% 14.39/9.65 tff(9655,plain,
% 14.39/9.65 (v129(constB54, bitIndex0) <=> v127(constB53, bitIndex0)),
% 14.39/9.65 inference(unit_resolution,[status(thm)],[9654, 5004, 9611])).
% 14.39/9.65 tff(9656,plain,
% 14.39/9.65 (((~![B: $i] : ((~less_3(B)) | (v127(constB53, B) <=> v130(constB53, B)))) | ((~less_3(bitIndex0)) | (v127(constB53, bitIndex0) <=> v130(constB53, bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v127(constB53, B) <=> v130(constB53, B)))) | (~less_3(bitIndex0)) | (v127(constB53, bitIndex0) <=> v130(constB53, bitIndex0)))),
% 14.39/9.65 inference(rewrite,[status(thm)],[])).
% 14.39/9.65 tff(9657,plain,
% 14.39/9.65 ((~![B: $i] : ((~less_3(B)) | (v127(constB53, B) <=> v130(constB53, B)))) | ((~less_3(bitIndex0)) | (v127(constB53, bitIndex0) <=> v130(constB53, bitIndex0)))),
% 14.39/9.65 inference(quant_inst,[status(thm)],[])).
% 14.39/9.65 tff(9658,plain,
% 14.39/9.65 ((~![B: $i] : ((~less_3(B)) | (v127(constB53, B) <=> v130(constB53, B)))) | (~less_3(bitIndex0)) | (v127(constB53, bitIndex0) <=> v130(constB53, bitIndex0))),
% 14.39/9.65 inference(modus_ponens,[status(thm)],[9657, 9656])).
% 14.39/9.65 tff(9659,plain,
% 14.39/9.65 (v127(constB53, bitIndex0) <=> v130(constB53, bitIndex0)),
% 14.39/9.65 inference(unit_resolution,[status(thm)],[9658, 5004, 9619])).
% 14.39/9.65 tff(9660,plain,
% 14.39/9.65 (((~![B: $i] : ((~less_3(B)) | (v130(constB53, B) <=> b110(B)))) | ((~less_3(bitIndex0)) | (v130(constB53, bitIndex0) <=> b110(bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v130(constB53, B) <=> b110(B)))) | (~less_3(bitIndex0)) | (v130(constB53, bitIndex0) <=> b110(bitIndex0)))),
% 14.39/9.65 inference(rewrite,[status(thm)],[])).
% 14.39/9.65 tff(9661,plain,
% 14.39/9.65 ((~![B: $i] : ((~less_3(B)) | (v130(constB53, B) <=> b110(B)))) | ((~less_3(bitIndex0)) | (v130(constB53, bitIndex0) <=> b110(bitIndex0)))),
% 14.39/9.65 inference(quant_inst,[status(thm)],[])).
% 14.39/9.65 tff(9662,plain,
% 14.39/9.65 ((~![B: $i] : ((~less_3(B)) | (v130(constB53, B) <=> b110(B)))) | (~less_3(bitIndex0)) | (v130(constB53, bitIndex0) <=> b110(bitIndex0))),
% 14.39/9.65 inference(modus_ponens,[status(thm)],[9661, 9660])).
% 14.39/9.65 tff(9663,plain,
% 14.39/9.65 (v130(constB53, bitIndex0) <=> b110(bitIndex0)),
% 14.39/9.65 inference(unit_resolution,[status(thm)],[9662, 5004, 9628])).
% 14.39/9.65 tff(9664,plain,
% 14.39/9.65 ((~(v130(constB53, bitIndex0) <=> b110(bitIndex0))) | (~v130(constB53, bitIndex0)) | b110(bitIndex0)),
% 14.39/9.65 inference(tautology,[status(thm)],[])).
% 14.39/9.65 tff(9665,plain,
% 14.39/9.65 ((~(v130(constB53, bitIndex0) <=> b110(bitIndex0))) | (~v130(constB53, bitIndex0))),
% 14.39/9.65 inference(unit_resolution,[status(thm)],[9664, 5415])).
% 14.39/9.65 tff(9666,plain,
% 14.39/9.65 (~v130(constB53, bitIndex0)),
% 14.39/9.65 inference(unit_resolution,[status(thm)],[9665, 9663])).
% 14.39/9.65 tff(9667,plain,
% 14.39/9.65 ((~(v127(constB53, bitIndex0) <=> v130(constB53, bitIndex0))) | (~v127(constB53, bitIndex0)) | v130(constB53, bitIndex0)),
% 14.39/9.65 inference(tautology,[status(thm)],[])).
% 14.39/9.65 tff(9668,plain,
% 14.39/9.65 (~v127(constB53, bitIndex0)),
% 14.39/9.65 inference(unit_resolution,[status(thm)],[9667, 9666, 9659])).
% 14.39/9.65 tff(9669,plain,
% 14.39/9.65 ((~(v129(constB54, bitIndex0) <=> v127(constB53, bitIndex0))) | (~v129(constB54, bitIndex0)) | v127(constB53, bitIndex0)),
% 14.39/9.66 inference(tautology,[status(thm)],[])).
% 14.39/9.66 tff(9670,plain,
% 14.39/9.66 (~v129(constB54, bitIndex0)),
% 14.39/9.66 inference(unit_resolution,[status(thm)],[9669, 9668, 9655])).
% 14.39/9.66 tff(9671,plain,
% 14.39/9.66 ((~(v90(constB54, bitIndex0) <=> v129(constB54, bitIndex0))) | (~v90(constB54, bitIndex0)) | v129(constB54, bitIndex0)),
% 14.39/9.66 inference(tautology,[status(thm)],[])).
% 14.39/9.66 tff(9672,plain,
% 14.39/9.66 (~v90(constB54, bitIndex0)),
% 14.39/9.66 inference(unit_resolution,[status(thm)],[9671, 9670, 9651])).
% 14.39/9.66 tff(9673,plain,
% 14.39/9.66 ((~(v90(constB55, bitIndex0) <=> v90(constB54, bitIndex0))) | (~v90(constB55, bitIndex0)) | v90(constB54, bitIndex0)),
% 14.39/9.66 inference(tautology,[status(thm)],[])).
% 14.39/9.66 tff(9674,plain,
% 14.39/9.66 (~v90(constB55, bitIndex0)),
% 14.39/9.66 inference(unit_resolution,[status(thm)],[9673, 9672, 9647])).
% 14.39/9.66 tff(9675,plain,
% 14.39/9.66 (((~![B: $i] : ((~less_3(B)) | (v90(constB55, B) <=> v90(constB54, B)))) | ((~less_3(bitIndex1)) | (v90(constB55, bitIndex1) <=> v90(constB54, bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v90(constB55, B) <=> v90(constB54, B)))) | (~less_3(bitIndex1)) | (v90(constB55, bitIndex1) <=> v90(constB54, bitIndex1)))),
% 14.39/9.66 inference(rewrite,[status(thm)],[])).
% 14.39/9.66 tff(9676,plain,
% 14.39/9.66 ((~![B: $i] : ((~less_3(B)) | (v90(constB55, B) <=> v90(constB54, B)))) | ((~less_3(bitIndex1)) | (v90(constB55, bitIndex1) <=> v90(constB54, bitIndex1)))),
% 14.39/9.66 inference(quant_inst,[status(thm)],[])).
% 14.39/9.66 tff(9677,plain,
% 14.39/9.66 ((~![B: $i] : ((~less_3(B)) | (v90(constB55, B) <=> v90(constB54, B)))) | (~less_3(bitIndex1)) | (v90(constB55, bitIndex1) <=> v90(constB54, bitIndex1))),
% 14.39/9.66 inference(modus_ponens,[status(thm)],[9676, 9675])).
% 14.39/9.66 tff(9678,plain,
% 14.39/9.66 (v90(constB55, bitIndex1) <=> v90(constB54, bitIndex1)),
% 14.39/9.66 inference(unit_resolution,[status(thm)],[9677, 5017, 2490])).
% 14.39/9.66 tff(9679,plain,
% 14.39/9.66 (((~![B: $i] : ((~less_3(B)) | (v90(constB54, B) <=> v129(constB54, B)))) | ((~less_3(bitIndex1)) | (v90(constB54, bitIndex1) <=> v129(constB54, bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v90(constB54, B) <=> v129(constB54, B)))) | (~less_3(bitIndex1)) | (v90(constB54, bitIndex1) <=> v129(constB54, bitIndex1)))),
% 14.39/9.66 inference(rewrite,[status(thm)],[])).
% 14.39/9.66 tff(9680,plain,
% 14.39/9.66 ((~![B: $i] : ((~less_3(B)) | (v90(constB54, B) <=> v129(constB54, B)))) | ((~less_3(bitIndex1)) | (v90(constB54, bitIndex1) <=> v129(constB54, bitIndex1)))),
% 14.39/9.66 inference(quant_inst,[status(thm)],[])).
% 14.39/9.66 tff(9681,plain,
% 14.39/9.66 ((~![B: $i] : ((~less_3(B)) | (v90(constB54, B) <=> v129(constB54, B)))) | (~less_3(bitIndex1)) | (v90(constB54, bitIndex1) <=> v129(constB54, bitIndex1))),
% 14.39/9.66 inference(modus_ponens,[status(thm)],[9680, 9679])).
% 14.39/9.66 tff(9682,plain,
% 14.39/9.66 (v90(constB54, bitIndex1) <=> v129(constB54, bitIndex1)),
% 14.39/9.66 inference(unit_resolution,[status(thm)],[9681, 5017, 9603])).
% 14.39/9.66 tff(9683,plain,
% 14.39/9.66 (((~![B: $i] : ((~less_3(B)) | (v129(constB54, B) <=> v127(constB53, B)))) | ((~less_3(bitIndex1)) | (v129(constB54, bitIndex1) <=> v127(constB53, bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v129(constB54, B) <=> v127(constB53, B)))) | (~less_3(bitIndex1)) | (v129(constB54, bitIndex1) <=> v127(constB53, bitIndex1)))),
% 14.39/9.66 inference(rewrite,[status(thm)],[])).
% 14.39/9.66 tff(9684,plain,
% 14.39/9.66 ((~![B: $i] : ((~less_3(B)) | (v129(constB54, B) <=> v127(constB53, B)))) | ((~less_3(bitIndex1)) | (v129(constB54, bitIndex1) <=> v127(constB53, bitIndex1)))),
% 14.39/9.66 inference(quant_inst,[status(thm)],[])).
% 14.39/9.66 tff(9685,plain,
% 14.39/9.66 ((~![B: $i] : ((~less_3(B)) | (v129(constB54, B) <=> v127(constB53, B)))) | (~less_3(bitIndex1)) | (v129(constB54, bitIndex1) <=> v127(constB53, bitIndex1))),
% 14.39/9.66 inference(modus_ponens,[status(thm)],[9684, 9683])).
% 14.39/9.66 tff(9686,plain,
% 14.39/9.66 (v129(constB54, bitIndex1) <=> v127(constB53, bitIndex1)),
% 14.39/9.66 inference(unit_resolution,[status(thm)],[9685, 5017, 9611])).
% 14.39/9.66 tff(9687,plain,
% 14.39/9.66 (((~![B: $i] : ((~less_3(B)) | (v127(constB53, B) <=> v130(constB53, B)))) | ((~less_3(bitIndex1)) | (v127(constB53, bitIndex1) <=> v130(constB53, bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v127(constB53, B) <=> v130(constB53, B)))) | (~less_3(bitIndex1)) | (v127(constB53, bitIndex1) <=> v130(constB53, bitIndex1)))),
% 14.39/9.66 inference(rewrite,[status(thm)],[])).
% 14.39/9.66 tff(9688,plain,
% 14.39/9.66 ((~![B: $i] : ((~less_3(B)) | (v127(constB53, B) <=> v130(constB53, B)))) | ((~less_3(bitIndex1)) | (v127(constB53, bitIndex1) <=> v130(constB53, bitIndex1)))),
% 14.39/9.66 inference(quant_inst,[status(thm)],[])).
% 14.39/9.66 tff(9689,plain,
% 14.39/9.66 ((~![B: $i] : ((~less_3(B)) | (v127(constB53, B) <=> v130(constB53, B)))) | (~less_3(bitIndex1)) | (v127(constB53, bitIndex1) <=> v130(constB53, bitIndex1))),
% 14.39/9.66 inference(modus_ponens,[status(thm)],[9688, 9687])).
% 14.39/9.66 tff(9690,plain,
% 14.39/9.66 (v127(constB53, bitIndex1) <=> v130(constB53, bitIndex1)),
% 14.39/9.66 inference(unit_resolution,[status(thm)],[9689, 5017, 9619])).
% 14.39/9.66 tff(9691,plain,
% 14.39/9.66 (((~![B: $i] : ((~less_3(B)) | (v130(constB53, B) <=> b110(B)))) | ((~less_3(bitIndex1)) | (v130(constB53, bitIndex1) <=> b110(bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v130(constB53, B) <=> b110(B)))) | (~less_3(bitIndex1)) | (v130(constB53, bitIndex1) <=> b110(bitIndex1)))),
% 14.39/9.66 inference(rewrite,[status(thm)],[])).
% 14.39/9.66 tff(9692,plain,
% 14.39/9.66 ((~![B: $i] : ((~less_3(B)) | (v130(constB53, B) <=> b110(B)))) | ((~less_3(bitIndex1)) | (v130(constB53, bitIndex1) <=> b110(bitIndex1)))),
% 14.39/9.66 inference(quant_inst,[status(thm)],[])).
% 14.39/9.66 tff(9693,plain,
% 14.39/9.66 ((~![B: $i] : ((~less_3(B)) | (v130(constB53, B) <=> b110(B)))) | (~less_3(bitIndex1)) | (v130(constB53, bitIndex1) <=> b110(bitIndex1))),
% 14.39/9.66 inference(modus_ponens,[status(thm)],[9692, 9691])).
% 14.39/9.66 tff(9694,plain,
% 14.39/9.66 (v130(constB53, bitIndex1) <=> b110(bitIndex1)),
% 14.39/9.66 inference(unit_resolution,[status(thm)],[9693, 5017, 9628])).
% 14.39/9.66 tff(9695,plain,
% 14.39/9.66 ((~(v130(constB53, bitIndex1) <=> b110(bitIndex1))) | v130(constB53, bitIndex1) | (~b110(bitIndex1))),
% 14.39/9.66 inference(tautology,[status(thm)],[])).
% 14.39/9.66 tff(9696,plain,
% 14.39/9.66 ((~(v130(constB53, bitIndex1) <=> b110(bitIndex1))) | v130(constB53, bitIndex1)),
% 14.39/9.66 inference(unit_resolution,[status(thm)],[9695, 5449])).
% 14.39/9.66 tff(9697,plain,
% 14.39/9.66 (v130(constB53, bitIndex1)),
% 14.39/9.66 inference(unit_resolution,[status(thm)],[9696, 9694])).
% 14.39/9.66 tff(9698,plain,
% 14.39/9.66 ((~(v127(constB53, bitIndex1) <=> v130(constB53, bitIndex1))) | v127(constB53, bitIndex1) | (~v130(constB53, bitIndex1))),
% 14.39/9.66 inference(tautology,[status(thm)],[])).
% 14.39/9.66 tff(9699,plain,
% 14.39/9.66 (v127(constB53, bitIndex1)),
% 14.39/9.66 inference(unit_resolution,[status(thm)],[9698, 9697, 9690])).
% 14.39/9.66 tff(9700,plain,
% 14.39/9.66 ((~(v129(constB54, bitIndex1) <=> v127(constB53, bitIndex1))) | v129(constB54, bitIndex1) | (~v127(constB53, bitIndex1))),
% 14.39/9.66 inference(tautology,[status(thm)],[])).
% 14.39/9.66 tff(9701,plain,
% 14.39/9.66 (v129(constB54, bitIndex1)),
% 14.39/9.66 inference(unit_resolution,[status(thm)],[9700, 9699, 9686])).
% 14.39/9.66 tff(9702,plain,
% 14.39/9.66 ((~(v90(constB54, bitIndex1) <=> v129(constB54, bitIndex1))) | v90(constB54, bitIndex1) | (~v129(constB54, bitIndex1))),
% 14.39/9.66 inference(tautology,[status(thm)],[])).
% 14.39/9.66 tff(9703,plain,
% 14.39/9.66 (v90(constB54, bitIndex1)),
% 14.39/9.66 inference(unit_resolution,[status(thm)],[9702, 9701, 9682])).
% 14.39/9.66 tff(9704,plain,
% 14.39/9.66 ((~(v90(constB55, bitIndex1) <=> v90(constB54, bitIndex1))) | v90(constB55, bitIndex1) | (~v90(constB54, bitIndex1))),
% 14.39/9.66 inference(tautology,[status(thm)],[])).
% 14.39/9.66 tff(9705,plain,
% 14.39/9.66 (v90(constB55, bitIndex1)),
% 14.39/9.66 inference(unit_resolution,[status(thm)],[9704, 9703, 9678])).
% 14.39/9.66 tff(9706,plain,
% 14.39/9.66 ((~((~v90(constB55, bitIndex2)) | (~v90(constB55, bitIndex1)) | v90(constB55, bitIndex0))) | (~v90(constB55, bitIndex2)) | (~v90(constB55, bitIndex1)) | v90(constB55, bitIndex0)),
% 14.39/9.66 inference(tautology,[status(thm)],[])).
% 14.39/9.66 tff(9707,plain,
% 14.39/9.66 (~((~v90(constB55, bitIndex2)) | (~v90(constB55, bitIndex1)) | v90(constB55, bitIndex0))),
% 14.39/9.66 inference(unit_resolution,[status(thm)],[9706, 9705, 9674, 9643])).
% 14.39/9.66 tff(9708,plain,
% 14.39/9.66 ((~(v125(constB55) <=> (~((~v90(constB55, bitIndex2)) | (~v90(constB55, bitIndex1)) | v90(constB55, bitIndex0))))) | v125(constB55) | ((~v90(constB55, bitIndex2)) | (~v90(constB55, bitIndex1)) | v90(constB55, bitIndex0))),
% 14.39/9.66 inference(tautology,[status(thm)],[])).
% 14.39/9.66 tff(9709,plain,
% 14.39/9.66 (v125(constB55)),
% 14.39/9.66 inference(unit_resolution,[status(thm)],[9708, 9707, 2462])).
% 14.39/9.66 tff(9710,plain,
% 14.39/9.66 ((v114(constB55) | v125(constB55)) | (~v125(constB55))),
% 14.39/9.66 inference(tautology,[status(thm)],[])).
% 14.39/9.66 tff(9711,plain,
% 14.39/9.66 (v114(constB55) | v125(constB55)),
% 14.39/9.66 inference(unit_resolution,[status(thm)],[9710, 9709])).
% 14.39/9.66 tff(9712,plain,
% 14.39/9.66 ((~(v113(constB55) <=> (v114(constB55) | v125(constB55)))) | v113(constB55) | (~(v114(constB55) | v125(constB55)))),
% 14.39/9.66 inference(tautology,[status(thm)],[])).
% 14.39/9.66 tff(9713,plain,
% 14.39/9.66 (v113(constB55)),
% 14.39/9.66 inference(unit_resolution,[status(thm)],[9712, 9711, 2455])).
% 14.39/9.66 tff(9714,plain,
% 14.39/9.66 ((~![VarCurr: $i] : ((~v126(VarCurr)) <=> v111(VarCurr))) | ((~v126(constB55)) <=> v111(constB55))),
% 14.39/9.66 inference(quant_inst,[status(thm)],[])).
% 14.39/9.66 tff(9715,plain,
% 14.39/9.66 ((~v126(constB55)) <=> v111(constB55)),
% 14.39/9.66 inference(unit_resolution,[status(thm)],[9714, 5074])).
% 14.39/9.66 tff(9716,plain,
% 14.39/9.66 ((~![VarCurr: $i] : (v111(VarCurr) <=> v26(VarCurr))) | (v111(constB55) <=> v26(constB55))),
% 14.39/9.66 inference(quant_inst,[status(thm)],[])).
% 14.39/9.66 tff(9717,plain,
% 14.39/9.66 (v111(constB55) <=> v26(constB55)),
% 14.39/9.66 inference(unit_resolution,[status(thm)],[9716, 5086])).
% 14.39/9.66 tff(9718,plain,
% 14.39/9.66 ((~![VarCurr: $i] : (~v26(VarCurr))) | (~v26(constB55))),
% 14.39/9.66 inference(quant_inst,[status(thm)],[])).
% 14.39/9.66 tff(9719,plain,
% 14.39/9.66 (~v26(constB55)),
% 14.39/9.66 inference(unit_resolution,[status(thm)],[9718, 5098])).
% 14.39/9.66 tff(9720,plain,
% 14.39/9.66 ((~(v111(constB55) <=> v26(constB55))) | (~v111(constB55)) | v26(constB55)),
% 14.39/9.66 inference(tautology,[status(thm)],[])).
% 14.39/9.66 tff(9721,plain,
% 14.39/9.66 ((~(v111(constB55) <=> v26(constB55))) | (~v111(constB55))),
% 14.39/9.66 inference(unit_resolution,[status(thm)],[9720, 9719])).
% 14.39/9.66 tff(9722,plain,
% 14.39/9.66 (~v111(constB55)),
% 14.39/9.66 inference(unit_resolution,[status(thm)],[9721, 9717])).
% 14.39/9.66 tff(9723,plain,
% 14.39/9.66 ((~((~v126(constB55)) <=> v111(constB55))) | v126(constB55) | v111(constB55)),
% 14.39/9.66 inference(tautology,[status(thm)],[])).
% 14.39/9.66 tff(9724,plain,
% 14.39/9.66 ((~((~v126(constB55)) <=> v111(constB55))) | v126(constB55)),
% 14.39/9.66 inference(unit_resolution,[status(thm)],[9723, 9722])).
% 14.39/9.66 tff(9725,plain,
% 14.39/9.66 (v126(constB55)),
% 14.39/9.66 inference(unit_resolution,[status(thm)],[9724, 9715])).
% 14.39/9.66 tff(9726,plain,
% 14.39/9.66 ((~((~v113(constB55)) | (~v126(constB55)))) | (~v113(constB55)) | (~v126(constB55))),
% 14.39/9.66 inference(tautology,[status(thm)],[])).
% 14.39/9.66 tff(9727,plain,
% 14.39/9.66 ((~((~v113(constB55)) | (~v126(constB55)))) | (~v113(constB55))),
% 14.39/9.66 inference(unit_resolution,[status(thm)],[9726, 9725])).
% 14.39/9.66 tff(9728,plain,
% 14.39/9.66 (~((~v113(constB55)) | (~v126(constB55)))),
% 14.39/9.66 inference(unit_resolution,[status(thm)],[9727, 9713])).
% 14.39/9.66 tff(9729,plain,
% 14.39/9.66 ((~(v112(constB55) <=> (~((~v113(constB55)) | (~v126(constB55)))))) | v112(constB55) | ((~v113(constB55)) | (~v126(constB55)))),
% 14.39/9.66 inference(tautology,[status(thm)],[])).
% 14.39/9.66 tff(9730,plain,
% 14.39/9.66 (v112(constB55)),
% 14.39/9.66 inference(unit_resolution,[status(thm)],[9729, 9728, 2453])).
% 14.39/9.66 tff(9731,plain,
% 14.39/9.66 ((v111(constB55) | v112(constB55)) | (~v112(constB55))),
% 14.39/9.66 inference(tautology,[status(thm)],[])).
% 14.39/9.66 tff(9732,plain,
% 14.39/9.66 (v111(constB55) | v112(constB55)),
% 14.39/9.66 inference(unit_resolution,[status(thm)],[9731, 9730])).
% 14.39/9.66 tff(9733,plain,
% 14.39/9.66 ((~(v108(constB55) <=> (v111(constB55) | v112(constB55)))) | v108(constB55) | (~(v111(constB55) | v112(constB55)))),
% 14.39/9.66 inference(tautology,[status(thm)],[])).
% 14.39/9.66 tff(9734,plain,
% 14.39/9.66 (v108(constB55)),
% 14.39/9.66 inference(unit_resolution,[status(thm)],[9733, 9732, 2451])).
% 14.39/9.66 tff(9735,plain,
% 14.39/9.66 ((~(v110(constB56) <=> v108(constB55))) | v110(constB56) | (~v108(constB55))),
% 14.39/9.66 inference(tautology,[status(thm)],[])).
% 14.39/9.66 tff(9736,plain,
% 14.39/9.66 (v110(constB56)),
% 14.39/9.66 inference(unit_resolution,[status(thm)],[9735, 9734, 2449])).
% 14.39/9.66 tff(9737,plain,
% 14.39/9.66 ((~((~v101(constB56)) | (~v110(constB56)))) | (~v101(constB56)) | (~v110(constB56))),
% 14.39/9.66 inference(tautology,[status(thm)],[])).
% 14.39/9.66 tff(9738,plain,
% 14.39/9.66 (~((~v101(constB56)) | (~v110(constB56)))),
% 14.39/9.66 inference(unit_resolution,[status(thm)],[9737, 9736, 2445])).
% 14.39/9.66 tff(9739,plain,
% 14.39/9.66 ((~(v100(constB56) <=> (~((~v101(constB56)) | (~v110(constB56)))))) | v100(constB56) | ((~v101(constB56)) | (~v110(constB56)))),
% 14.39/9.66 inference(tautology,[status(thm)],[])).
% 14.39/9.66 tff(9740,plain,
% 14.39/9.66 (v100(constB56)),
% 14.39/9.66 inference(unit_resolution,[status(thm)],[9739, 9738, 2414])).
% 14.39/9.66 tff(9741,plain,
% 14.39/9.66 (((~![VarNext: $i] : ((~v100(VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v129(VarNext, B))))) | ((~v100(constB56)) | ![B: $i] : ((~less_3(B)) | (v90(constB56, B) <=> v129(constB56, B))))) <=> ((~![VarNext: $i] : ((~v100(VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v129(VarNext, B))))) | (~v100(constB56)) | ![B: $i] : ((~less_3(B)) | (v90(constB56, B) <=> v129(constB56, B))))),
% 14.39/9.66 inference(rewrite,[status(thm)],[])).
% 14.39/9.66 tff(9742,plain,
% 14.39/9.66 ((~![VarNext: $i] : ((~v100(VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v129(VarNext, B))))) | ((~v100(constB56)) | ![B: $i] : ((~less_3(B)) | (v90(constB56, B) <=> v129(constB56, B))))),
% 14.39/9.66 inference(quant_inst,[status(thm)],[])).
% 14.39/9.66 tff(9743,plain,
% 14.39/9.66 ((~![VarNext: $i] : ((~v100(VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v129(VarNext, B))))) | (~v100(constB56)) | ![B: $i] : ((~less_3(B)) | (v90(constB56, B) <=> v129(constB56, B)))),
% 14.39/9.66 inference(modus_ponens,[status(thm)],[9742, 9741])).
% 14.39/9.66 tff(9744,plain,
% 14.39/9.66 ((~v100(constB56)) | ![B: $i] : ((~less_3(B)) | (v90(constB56, B) <=> v129(constB56, B)))),
% 14.39/9.66 inference(unit_resolution,[status(thm)],[9743, 5134])).
% 14.39/9.66 tff(9745,plain,
% 14.39/9.66 (![B: $i] : ((~less_3(B)) | (v90(constB56, B) <=> v129(constB56, B)))),
% 14.39/9.66 inference(unit_resolution,[status(thm)],[9744, 9740])).
% 14.39/9.66 tff(9746,plain,
% 14.39/9.66 (((~![B: $i] : ((~less_3(B)) | (v90(constB56, B) <=> v129(constB56, B)))) | ((~less_3(bitIndex2)) | (v90(constB56, bitIndex2) <=> v129(constB56, bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v90(constB56, B) <=> v129(constB56, B)))) | (~less_3(bitIndex2)) | (v90(constB56, bitIndex2) <=> v129(constB56, bitIndex2)))),
% 14.39/9.66 inference(rewrite,[status(thm)],[])).
% 14.39/9.66 tff(9747,plain,
% 14.39/9.66 ((~![B: $i] : ((~less_3(B)) | (v90(constB56, B) <=> v129(constB56, B)))) | ((~less_3(bitIndex2)) | (v90(constB56, bitIndex2) <=> v129(constB56, bitIndex2)))),
% 14.39/9.66 inference(quant_inst,[status(thm)],[])).
% 14.39/9.66 tff(9748,plain,
% 14.39/9.66 ((~![B: $i] : ((~less_3(B)) | (v90(constB56, B) <=> v129(constB56, B)))) | (~less_3(bitIndex2)) | (v90(constB56, bitIndex2) <=> v129(constB56, bitIndex2))),
% 14.39/9.66 inference(modus_ponens,[status(thm)],[9747, 9746])).
% 14.39/9.66 tff(9749,plain,
% 14.39/9.66 (v90(constB56, bitIndex2) <=> v129(constB56, bitIndex2)),
% 14.39/9.66 inference(unit_resolution,[status(thm)],[9748, 413, 9745])).
% 14.39/9.66 tff(9750,plain,
% 14.39/9.66 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v129(VarNext, B) <=> v127(VarCurr, B))))) | ((~nextState(constB55, constB56)) | ![B: $i] : ((~less_3(B)) | (v129(constB56, B) <=> v127(constB55, B))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v129(VarNext, B) <=> v127(VarCurr, B))))) | (~nextState(constB55, constB56)) | ![B: $i] : ((~less_3(B)) | (v129(constB56, B) <=> v127(constB55, B))))),
% 14.39/9.66 inference(rewrite,[status(thm)],[])).
% 14.39/9.66 tff(9751,plain,
% 14.39/9.66 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v129(VarNext, B) <=> v127(VarCurr, B))))) | ((~nextState(constB55, constB56)) | ![B: $i] : ((~less_3(B)) | (v129(constB56, B) <=> v127(constB55, B))))),
% 14.39/9.66 inference(quant_inst,[status(thm)],[])).
% 14.39/9.66 tff(9752,plain,
% 14.39/9.66 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v129(VarNext, B) <=> v127(VarCurr, B))))) | (~nextState(constB55, constB56)) | ![B: $i] : ((~less_3(B)) | (v129(constB56, B) <=> v127(constB55, B)))),
% 14.39/9.66 inference(modus_ponens,[status(thm)],[9751, 9750])).
% 14.39/9.66 tff(9753,plain,
% 14.39/9.66 (![B: $i] : ((~less_3(B)) | (v129(constB56, B) <=> v127(constB55, B)))),
% 14.39/9.66 inference(unit_resolution,[status(thm)],[9752, 2410, 5156])).
% 14.39/9.66 tff(9754,plain,
% 14.39/9.66 (((~![B: $i] : ((~less_3(B)) | (v129(constB56, B) <=> v127(constB55, B)))) | ((~less_3(bitIndex2)) | (v129(constB56, bitIndex2) <=> v127(constB55, bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v129(constB56, B) <=> v127(constB55, B)))) | (~less_3(bitIndex2)) | (v129(constB56, bitIndex2) <=> v127(constB55, bitIndex2)))),
% 14.39/9.66 inference(rewrite,[status(thm)],[])).
% 14.39/9.66 tff(9755,plain,
% 14.39/9.66 ((~![B: $i] : ((~less_3(B)) | (v129(constB56, B) <=> v127(constB55, B)))) | ((~less_3(bitIndex2)) | (v129(constB56, bitIndex2) <=> v127(constB55, bitIndex2)))),
% 14.39/9.66 inference(quant_inst,[status(thm)],[])).
% 14.39/9.66 tff(9756,plain,
% 14.39/9.66 ((~![B: $i] : ((~less_3(B)) | (v129(constB56, B) <=> v127(constB55, B)))) | (~less_3(bitIndex2)) | (v129(constB56, bitIndex2) <=> v127(constB55, bitIndex2))),
% 14.39/9.66 inference(modus_ponens,[status(thm)],[9755, 9754])).
% 14.39/9.66 tff(9757,plain,
% 14.39/9.66 (v129(constB56, bitIndex2) <=> v127(constB55, bitIndex2)),
% 14.39/9.66 inference(unit_resolution,[status(thm)],[9756, 413, 9753])).
% 14.39/9.66 tff(9758,plain,
% 14.39/9.66 (((~![VarCurr: $i] : (v111(VarCurr) | ![B: $i] : ((~less_3(B)) | (v127(VarCurr, B) <=> v130(VarCurr, B))))) | (v111(constB55) | ![B: $i] : ((~less_3(B)) | (v127(constB55, B) <=> v130(constB55, B))))) <=> ((~![VarCurr: $i] : (v111(VarCurr) | ![B: $i] : ((~less_3(B)) | (v127(VarCurr, B) <=> v130(VarCurr, B))))) | v111(constB55) | ![B: $i] : ((~less_3(B)) | (v127(constB55, B) <=> v130(constB55, B))))),
% 14.39/9.66 inference(rewrite,[status(thm)],[])).
% 14.39/9.66 tff(9759,plain,
% 14.39/9.66 ((~![VarCurr: $i] : (v111(VarCurr) | ![B: $i] : ((~less_3(B)) | (v127(VarCurr, B) <=> v130(VarCurr, B))))) | (v111(constB55) | ![B: $i] : ((~less_3(B)) | (v127(constB55, B) <=> v130(constB55, B))))),
% 14.39/9.66 inference(quant_inst,[status(thm)],[])).
% 14.39/9.66 tff(9760,plain,
% 14.39/9.66 ((~![VarCurr: $i] : (v111(VarCurr) | ![B: $i] : ((~less_3(B)) | (v127(VarCurr, B) <=> v130(VarCurr, B))))) | v111(constB55) | ![B: $i] : ((~less_3(B)) | (v127(constB55, B) <=> v130(constB55, B)))),
% 14.39/9.66 inference(modus_ponens,[status(thm)],[9759, 9758])).
% 14.39/9.66 tff(9761,plain,
% 14.39/9.66 (![B: $i] : ((~less_3(B)) | (v127(constB55, B) <=> v130(constB55, B)))),
% 14.39/9.66 inference(unit_resolution,[status(thm)],[9760, 5177, 9722])).
% 14.39/9.66 tff(9762,plain,
% 14.39/9.66 (((~![B: $i] : ((~less_3(B)) | (v127(constB55, B) <=> v130(constB55, B)))) | ((~less_3(bitIndex2)) | (v127(constB55, bitIndex2) <=> v130(constB55, bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v127(constB55, B) <=> v130(constB55, B)))) | (~less_3(bitIndex2)) | (v127(constB55, bitIndex2) <=> v130(constB55, bitIndex2)))),
% 14.39/9.66 inference(rewrite,[status(thm)],[])).
% 14.39/9.66 tff(9763,plain,
% 14.39/9.66 ((~![B: $i] : ((~less_3(B)) | (v127(constB55, B) <=> v130(constB55, B)))) | ((~less_3(bitIndex2)) | (v127(constB55, bitIndex2) <=> v130(constB55, bitIndex2)))),
% 14.39/9.66 inference(quant_inst,[status(thm)],[])).
% 14.39/9.66 tff(9764,plain,
% 14.39/9.66 ((~![B: $i] : ((~less_3(B)) | (v127(constB55, B) <=> v130(constB55, B)))) | (~less_3(bitIndex2)) | (v127(constB55, bitIndex2) <=> v130(constB55, bitIndex2))),
% 14.39/9.66 inference(modus_ponens,[status(thm)],[9763, 9762])).
% 14.39/9.66 tff(9765,plain,
% 14.39/9.66 (v127(constB55, bitIndex2) <=> v130(constB55, bitIndex2)),
% 14.39/9.66 inference(unit_resolution,[status(thm)],[9764, 413, 9761])).
% 14.39/9.66 tff(9766,plain,
% 14.39/9.66 ((~![VarCurr: $i] : (v119(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))))) | (v119(constB55) <=> (~(v90(constB55, bitIndex0) | v90(constB55, bitIndex1) | v90(constB55, bitIndex2))))),
% 14.39/9.66 inference(quant_inst,[status(thm)],[])).
% 14.39/9.66 tff(9767,plain,
% 14.39/9.66 (v119(constB55) <=> (~(v90(constB55, bitIndex0) | v90(constB55, bitIndex1) | v90(constB55, bitIndex2)))),
% 14.39/9.66 inference(unit_resolution,[status(thm)],[9766, 4971])).
% 14.39/9.66 tff(9768,plain,
% 14.39/9.66 ((v90(constB55, bitIndex0) | v90(constB55, bitIndex1) | v90(constB55, bitIndex2)) | (~v90(constB55, bitIndex2))),
% 14.39/9.66 inference(tautology,[status(thm)],[])).
% 14.39/9.66 tff(9769,plain,
% 14.39/9.66 (v90(constB55, bitIndex0) | v90(constB55, bitIndex1) | v90(constB55, bitIndex2)),
% 14.39/9.66 inference(unit_resolution,[status(thm)],[9768, 9643])).
% 14.39/9.66 tff(9770,plain,
% 14.39/9.66 ((~(v119(constB55) <=> (~(v90(constB55, bitIndex0) | v90(constB55, bitIndex1) | v90(constB55, bitIndex2))))) | (~v119(constB55)) | (~(v90(constB55, bitIndex0) | v90(constB55, bitIndex1) | v90(constB55, bitIndex2)))),
% 14.39/9.66 inference(tautology,[status(thm)],[])).
% 14.39/9.66 tff(9771,plain,
% 14.39/9.66 (~v119(constB55)),
% 14.39/9.66 inference(unit_resolution,[status(thm)],[9770, 9769, 9767])).
% 14.39/9.66 tff(9772,plain,
% 14.39/9.66 (((~![VarCurr: $i] : (v124(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex2)))))) | (v124(constB55) <=> (~((~v90(constB55, bitIndex2)) | v90(constB55, bitIndex1) | (~v90(constB55, bitIndex0)))))) <=> ((~![VarCurr: $i] : (v124(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex2)))))) | (v124(constB55) <=> (~((~v90(constB55, bitIndex2)) | v90(constB55, bitIndex1) | (~v90(constB55, bitIndex0))))))),
% 14.39/9.66 inference(rewrite,[status(thm)],[])).
% 14.39/9.66 tff(9773,plain,
% 14.39/9.66 ((v124(constB55) <=> (~(v90(constB55, bitIndex1) | (~v90(constB55, bitIndex0)) | (~v90(constB55, bitIndex2))))) <=> (v124(constB55) <=> (~((~v90(constB55, bitIndex2)) | v90(constB55, bitIndex1) | (~v90(constB55, bitIndex0)))))),
% 14.39/9.66 inference(rewrite,[status(thm)],[])).
% 14.39/9.66 tff(9774,plain,
% 14.39/9.66 (((~![VarCurr: $i] : (v124(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex2)))))) | (v124(constB55) <=> (~(v90(constB55, bitIndex1) | (~v90(constB55, bitIndex0)) | (~v90(constB55, bitIndex2)))))) <=> ((~![VarCurr: $i] : (v124(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex2)))))) | (v124(constB55) <=> (~((~v90(constB55, bitIndex2)) | v90(constB55, bitIndex1) | (~v90(constB55, bitIndex0))))))),
% 14.39/9.66 inference(monotonicity,[status(thm)],[9773])).
% 14.39/9.66 tff(9775,plain,
% 14.39/9.66 (((~![VarCurr: $i] : (v124(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex2)))))) | (v124(constB55) <=> (~(v90(constB55, bitIndex1) | (~v90(constB55, bitIndex0)) | (~v90(constB55, bitIndex2)))))) <=> ((~![VarCurr: $i] : (v124(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex2)))))) | (v124(constB55) <=> (~((~v90(constB55, bitIndex2)) | v90(constB55, bitIndex1) | (~v90(constB55, bitIndex0))))))),
% 14.39/9.66 inference(transitivity,[status(thm)],[9774, 9772])).
% 14.39/9.66 tff(9776,plain,
% 14.39/9.66 ((~![VarCurr: $i] : (v124(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex2)))))) | (v124(constB55) <=> (~(v90(constB55, bitIndex1) | (~v90(constB55, bitIndex0)) | (~v90(constB55, bitIndex2)))))),
% 14.39/9.66 inference(quant_inst,[status(thm)],[])).
% 14.39/9.66 tff(9777,plain,
% 14.39/9.66 ((~![VarCurr: $i] : (v124(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex2)))))) | (v124(constB55) <=> (~((~v90(constB55, bitIndex2)) | v90(constB55, bitIndex1) | (~v90(constB55, bitIndex0)))))),
% 14.39/9.66 inference(modus_ponens,[status(thm)],[9776, 9775])).
% 14.39/9.66 tff(9778,plain,
% 14.39/9.66 (v124(constB55) <=> (~((~v90(constB55, bitIndex2)) | v90(constB55, bitIndex1) | (~v90(constB55, bitIndex0))))),
% 14.39/9.66 inference(unit_resolution,[status(thm)],[9777, 5539])).
% 14.39/9.66 tff(9779,plain,
% 14.39/9.66 (((~v90(constB55, bitIndex2)) | v90(constB55, bitIndex1) | (~v90(constB55, bitIndex0))) | (~v90(constB55, bitIndex1))),
% 14.39/9.66 inference(tautology,[status(thm)],[])).
% 14.39/9.66 tff(9780,plain,
% 14.39/9.66 ((~v90(constB55, bitIndex2)) | v90(constB55, bitIndex1) | (~v90(constB55, bitIndex0))),
% 14.39/9.66 inference(unit_resolution,[status(thm)],[9779, 9705])).
% 14.39/9.66 tff(9781,plain,
% 14.39/9.66 ((~(v124(constB55) <=> (~((~v90(constB55, bitIndex2)) | v90(constB55, bitIndex1) | (~v90(constB55, bitIndex0)))))) | (~v124(constB55)) | (~((~v90(constB55, bitIndex2)) | v90(constB55, bitIndex1) | (~v90(constB55, bitIndex0))))),
% 14.39/9.66 inference(tautology,[status(thm)],[])).
% 14.39/9.66 tff(9782,plain,
% 14.39/9.66 (~v124(constB55)),
% 14.39/9.66 inference(unit_resolution,[status(thm)],[9781, 9780, 9778])).
% 14.39/9.66 tff(9783,plain,
% 14.39/9.66 (((~![VarCurr: $i] : (v123(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)))))) | (v123(constB55) <=> (~((~v90(constB55, bitIndex2)) | v90(constB55, bitIndex1) | v90(constB55, bitIndex0))))) <=> ((~![VarCurr: $i] : (v123(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)))))) | (v123(constB55) <=> (~((~v90(constB55, bitIndex2)) | v90(constB55, bitIndex1) | v90(constB55, bitIndex0)))))),
% 14.39/9.66 inference(rewrite,[status(thm)],[])).
% 14.39/9.66 tff(9784,plain,
% 14.39/9.66 ((v123(constB55) <=> (~(v90(constB55, bitIndex0) | v90(constB55, bitIndex1) | (~v90(constB55, bitIndex2))))) <=> (v123(constB55) <=> (~((~v90(constB55, bitIndex2)) | v90(constB55, bitIndex1) | v90(constB55, bitIndex0))))),
% 14.39/9.67 inference(rewrite,[status(thm)],[])).
% 14.39/9.67 tff(9785,plain,
% 14.39/9.67 (((~![VarCurr: $i] : (v123(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)))))) | (v123(constB55) <=> (~(v90(constB55, bitIndex0) | v90(constB55, bitIndex1) | (~v90(constB55, bitIndex2)))))) <=> ((~![VarCurr: $i] : (v123(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)))))) | (v123(constB55) <=> (~((~v90(constB55, bitIndex2)) | v90(constB55, bitIndex1) | v90(constB55, bitIndex0)))))),
% 14.39/9.67 inference(monotonicity,[status(thm)],[9784])).
% 14.39/9.67 tff(9786,plain,
% 14.39/9.67 (((~![VarCurr: $i] : (v123(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)))))) | (v123(constB55) <=> (~(v90(constB55, bitIndex0) | v90(constB55, bitIndex1) | (~v90(constB55, bitIndex2)))))) <=> ((~![VarCurr: $i] : (v123(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)))))) | (v123(constB55) <=> (~((~v90(constB55, bitIndex2)) | v90(constB55, bitIndex1) | v90(constB55, bitIndex0)))))),
% 14.39/9.67 inference(transitivity,[status(thm)],[9785, 9783])).
% 14.39/9.67 tff(9787,plain,
% 14.39/9.67 ((~![VarCurr: $i] : (v123(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)))))) | (v123(constB55) <=> (~(v90(constB55, bitIndex0) | v90(constB55, bitIndex1) | (~v90(constB55, bitIndex2)))))),
% 14.39/9.67 inference(quant_inst,[status(thm)],[])).
% 14.39/9.67 tff(9788,plain,
% 14.39/9.67 ((~![VarCurr: $i] : (v123(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)))))) | (v123(constB55) <=> (~((~v90(constB55, bitIndex2)) | v90(constB55, bitIndex1) | v90(constB55, bitIndex0))))),
% 14.39/9.67 inference(modus_ponens,[status(thm)],[9787, 9786])).
% 14.39/9.67 tff(9789,plain,
% 14.39/9.67 (v123(constB55) <=> (~((~v90(constB55, bitIndex2)) | v90(constB55, bitIndex1) | v90(constB55, bitIndex0)))),
% 14.39/9.67 inference(unit_resolution,[status(thm)],[9788, 621])).
% 14.39/9.67 tff(9790,plain,
% 14.39/9.67 (((~v90(constB55, bitIndex2)) | v90(constB55, bitIndex1) | v90(constB55, bitIndex0)) | (~v90(constB55, bitIndex1))),
% 14.39/9.67 inference(tautology,[status(thm)],[])).
% 14.39/9.67 tff(9791,plain,
% 14.39/9.67 ((~v90(constB55, bitIndex2)) | v90(constB55, bitIndex1) | v90(constB55, bitIndex0)),
% 14.39/9.67 inference(unit_resolution,[status(thm)],[9790, 9705])).
% 14.39/9.67 tff(9792,plain,
% 14.39/9.67 ((~(v123(constB55) <=> (~((~v90(constB55, bitIndex2)) | v90(constB55, bitIndex1) | v90(constB55, bitIndex0))))) | (~v123(constB55)) | (~((~v90(constB55, bitIndex2)) | v90(constB55, bitIndex1) | v90(constB55, bitIndex0)))),
% 14.39/9.67 inference(tautology,[status(thm)],[])).
% 14.39/9.67 tff(9793,plain,
% 14.39/9.67 (~v123(constB55)),
% 14.39/9.67 inference(unit_resolution,[status(thm)],[9792, 9791, 9789])).
% 14.39/9.67 tff(9794,plain,
% 14.39/9.67 (((~![VarCurr: $i] : (v122(VarCurr) <=> (~(v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)))))) | (v122(constB55) <=> (~(v90(constB55, bitIndex2) | (~v90(constB55, bitIndex1)) | (~v90(constB55, bitIndex0)))))) <=> ((~![VarCurr: $i] : (v122(VarCurr) <=> (~(v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)))))) | (v122(constB55) <=> (~(v90(constB55, bitIndex2) | (~v90(constB55, bitIndex1)) | (~v90(constB55, bitIndex0))))))),
% 14.39/9.67 inference(rewrite,[status(thm)],[])).
% 14.39/9.67 tff(9795,plain,
% 14.39/9.67 ((v122(constB55) <=> (~(v90(constB55, bitIndex2) | (~v90(constB55, bitIndex0)) | (~v90(constB55, bitIndex1))))) <=> (v122(constB55) <=> (~(v90(constB55, bitIndex2) | (~v90(constB55, bitIndex1)) | (~v90(constB55, bitIndex0)))))),
% 14.39/9.67 inference(rewrite,[status(thm)],[])).
% 14.39/9.67 tff(9796,plain,
% 14.39/9.67 (((~![VarCurr: $i] : (v122(VarCurr) <=> (~(v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)))))) | (v122(constB55) <=> (~(v90(constB55, bitIndex2) | (~v90(constB55, bitIndex0)) | (~v90(constB55, bitIndex1)))))) <=> ((~![VarCurr: $i] : (v122(VarCurr) <=> (~(v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)))))) | (v122(constB55) <=> (~(v90(constB55, bitIndex2) | (~v90(constB55, bitIndex1)) | (~v90(constB55, bitIndex0))))))),
% 14.39/9.67 inference(monotonicity,[status(thm)],[9795])).
% 14.39/9.67 tff(9797,plain,
% 14.39/9.67 (((~![VarCurr: $i] : (v122(VarCurr) <=> (~(v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)))))) | (v122(constB55) <=> (~(v90(constB55, bitIndex2) | (~v90(constB55, bitIndex0)) | (~v90(constB55, bitIndex1)))))) <=> ((~![VarCurr: $i] : (v122(VarCurr) <=> (~(v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)))))) | (v122(constB55) <=> (~(v90(constB55, bitIndex2) | (~v90(constB55, bitIndex1)) | (~v90(constB55, bitIndex0))))))),
% 14.39/9.67 inference(transitivity,[status(thm)],[9796, 9794])).
% 14.39/9.67 tff(9798,plain,
% 14.39/9.67 ((~![VarCurr: $i] : (v122(VarCurr) <=> (~(v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)))))) | (v122(constB55) <=> (~(v90(constB55, bitIndex2) | (~v90(constB55, bitIndex0)) | (~v90(constB55, bitIndex1)))))),
% 14.39/9.67 inference(quant_inst,[status(thm)],[])).
% 14.39/9.67 tff(9799,plain,
% 14.39/9.67 ((~![VarCurr: $i] : (v122(VarCurr) <=> (~(v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)))))) | (v122(constB55) <=> (~(v90(constB55, bitIndex2) | (~v90(constB55, bitIndex1)) | (~v90(constB55, bitIndex0)))))),
% 14.39/9.67 inference(modus_ponens,[status(thm)],[9798, 9797])).
% 14.39/9.67 tff(9800,plain,
% 14.39/9.67 (v122(constB55) <=> (~(v90(constB55, bitIndex2) | (~v90(constB55, bitIndex1)) | (~v90(constB55, bitIndex0))))),
% 14.39/9.67 inference(unit_resolution,[status(thm)],[9799, 734])).
% 14.39/9.67 tff(9801,plain,
% 14.39/9.67 ((v90(constB55, bitIndex2) | (~v90(constB55, bitIndex1)) | (~v90(constB55, bitIndex0))) | (~v90(constB55, bitIndex2))),
% 14.39/9.67 inference(tautology,[status(thm)],[])).
% 14.39/9.67 tff(9802,plain,
% 14.39/9.67 (v90(constB55, bitIndex2) | (~v90(constB55, bitIndex1)) | (~v90(constB55, bitIndex0))),
% 14.39/9.67 inference(unit_resolution,[status(thm)],[9801, 9643])).
% 14.39/9.67 tff(9803,plain,
% 14.39/9.67 ((~(v122(constB55) <=> (~(v90(constB55, bitIndex2) | (~v90(constB55, bitIndex1)) | (~v90(constB55, bitIndex0)))))) | (~v122(constB55)) | (~(v90(constB55, bitIndex2) | (~v90(constB55, bitIndex1)) | (~v90(constB55, bitIndex0))))),
% 14.39/9.67 inference(tautology,[status(thm)],[])).
% 14.39/9.67 tff(9804,plain,
% 14.39/9.67 (~v122(constB55)),
% 14.39/9.67 inference(unit_resolution,[status(thm)],[9803, 9802, 9800])).
% 14.39/9.67 tff(9805,plain,
% 14.39/9.67 (((~![VarCurr: $i] : (v121(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex1)))))) | (v121(constB55) <=> (~(v90(constB55, bitIndex2) | (~v90(constB55, bitIndex1)) | v90(constB55, bitIndex0))))) <=> ((~![VarCurr: $i] : (v121(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex1)))))) | (v121(constB55) <=> (~(v90(constB55, bitIndex2) | (~v90(constB55, bitIndex1)) | v90(constB55, bitIndex0)))))),
% 14.39/9.67 inference(rewrite,[status(thm)],[])).
% 14.39/9.67 tff(9806,plain,
% 14.39/9.67 ((v121(constB55) <=> (~(v90(constB55, bitIndex0) | v90(constB55, bitIndex2) | (~v90(constB55, bitIndex1))))) <=> (v121(constB55) <=> (~(v90(constB55, bitIndex2) | (~v90(constB55, bitIndex1)) | v90(constB55, bitIndex0))))),
% 14.39/9.67 inference(rewrite,[status(thm)],[])).
% 14.39/9.67 tff(9807,plain,
% 14.39/9.67 (((~![VarCurr: $i] : (v121(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex1)))))) | (v121(constB55) <=> (~(v90(constB55, bitIndex0) | v90(constB55, bitIndex2) | (~v90(constB55, bitIndex1)))))) <=> ((~![VarCurr: $i] : (v121(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex1)))))) | (v121(constB55) <=> (~(v90(constB55, bitIndex2) | (~v90(constB55, bitIndex1)) | v90(constB55, bitIndex0)))))),
% 14.39/9.67 inference(monotonicity,[status(thm)],[9806])).
% 14.39/9.67 tff(9808,plain,
% 14.39/9.67 (((~![VarCurr: $i] : (v121(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex1)))))) | (v121(constB55) <=> (~(v90(constB55, bitIndex0) | v90(constB55, bitIndex2) | (~v90(constB55, bitIndex1)))))) <=> ((~![VarCurr: $i] : (v121(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex1)))))) | (v121(constB55) <=> (~(v90(constB55, bitIndex2) | (~v90(constB55, bitIndex1)) | v90(constB55, bitIndex0)))))),
% 14.39/9.67 inference(transitivity,[status(thm)],[9807, 9805])).
% 14.39/9.67 tff(9809,plain,
% 14.39/9.67 ((~![VarCurr: $i] : (v121(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex1)))))) | (v121(constB55) <=> (~(v90(constB55, bitIndex0) | v90(constB55, bitIndex2) | (~v90(constB55, bitIndex1)))))),
% 14.39/9.67 inference(quant_inst,[status(thm)],[])).
% 14.39/9.67 tff(9810,plain,
% 14.39/9.67 ((~![VarCurr: $i] : (v121(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex1)))))) | (v121(constB55) <=> (~(v90(constB55, bitIndex2) | (~v90(constB55, bitIndex1)) | v90(constB55, bitIndex0))))),
% 14.39/9.67 inference(modus_ponens,[status(thm)],[9809, 9808])).
% 14.39/9.67 tff(9811,plain,
% 14.39/9.67 (v121(constB55) <=> (~(v90(constB55, bitIndex2) | (~v90(constB55, bitIndex1)) | v90(constB55, bitIndex0)))),
% 14.39/9.67 inference(unit_resolution,[status(thm)],[9810, 849])).
% 14.39/9.67 tff(9812,plain,
% 14.39/9.67 ((v90(constB55, bitIndex2) | (~v90(constB55, bitIndex1)) | v90(constB55, bitIndex0)) | (~v90(constB55, bitIndex2))),
% 14.39/9.67 inference(tautology,[status(thm)],[])).
% 14.39/9.67 tff(9813,plain,
% 14.39/9.67 (v90(constB55, bitIndex2) | (~v90(constB55, bitIndex1)) | v90(constB55, bitIndex0)),
% 14.39/9.67 inference(unit_resolution,[status(thm)],[9812, 9643])).
% 14.39/9.67 tff(9814,plain,
% 14.39/9.67 ((~(v121(constB55) <=> (~(v90(constB55, bitIndex2) | (~v90(constB55, bitIndex1)) | v90(constB55, bitIndex0))))) | (~v121(constB55)) | (~(v90(constB55, bitIndex2) | (~v90(constB55, bitIndex1)) | v90(constB55, bitIndex0)))),
% 14.39/9.67 inference(tautology,[status(thm)],[])).
% 14.39/9.67 tff(9815,plain,
% 14.39/9.67 (~v121(constB55)),
% 14.39/9.67 inference(unit_resolution,[status(thm)],[9814, 9813, 9811])).
% 14.39/9.67 tff(9816,plain,
% 14.39/9.67 (((~![VarCurr: $i] : (v120(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)))))) | (v120(constB55) <=> (~(v90(constB55, bitIndex2) | v90(constB55, bitIndex1) | (~v90(constB55, bitIndex0)))))) <=> ((~![VarCurr: $i] : (v120(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)))))) | (v120(constB55) <=> (~(v90(constB55, bitIndex2) | v90(constB55, bitIndex1) | (~v90(constB55, bitIndex0))))))),
% 14.39/9.67 inference(rewrite,[status(thm)],[])).
% 14.39/9.67 tff(9817,plain,
% 14.39/9.67 ((v120(constB55) <=> (~(v90(constB55, bitIndex1) | v90(constB55, bitIndex2) | (~v90(constB55, bitIndex0))))) <=> (v120(constB55) <=> (~(v90(constB55, bitIndex2) | v90(constB55, bitIndex1) | (~v90(constB55, bitIndex0)))))),
% 14.39/9.67 inference(rewrite,[status(thm)],[])).
% 14.39/9.67 tff(9818,plain,
% 14.39/9.67 (((~![VarCurr: $i] : (v120(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)))))) | (v120(constB55) <=> (~(v90(constB55, bitIndex1) | v90(constB55, bitIndex2) | (~v90(constB55, bitIndex0)))))) <=> ((~![VarCurr: $i] : (v120(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)))))) | (v120(constB55) <=> (~(v90(constB55, bitIndex2) | v90(constB55, bitIndex1) | (~v90(constB55, bitIndex0))))))),
% 14.39/9.67 inference(monotonicity,[status(thm)],[9817])).
% 14.39/9.67 tff(9819,plain,
% 14.39/9.67 (((~![VarCurr: $i] : (v120(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)))))) | (v120(constB55) <=> (~(v90(constB55, bitIndex1) | v90(constB55, bitIndex2) | (~v90(constB55, bitIndex0)))))) <=> ((~![VarCurr: $i] : (v120(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)))))) | (v120(constB55) <=> (~(v90(constB55, bitIndex2) | v90(constB55, bitIndex1) | (~v90(constB55, bitIndex0))))))),
% 14.39/9.67 inference(transitivity,[status(thm)],[9818, 9816])).
% 14.39/9.67 tff(9820,plain,
% 14.39/9.67 ((~![VarCurr: $i] : (v120(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)))))) | (v120(constB55) <=> (~(v90(constB55, bitIndex1) | v90(constB55, bitIndex2) | (~v90(constB55, bitIndex0)))))),
% 14.39/9.67 inference(quant_inst,[status(thm)],[])).
% 14.39/9.67 tff(9821,plain,
% 14.39/9.67 ((~![VarCurr: $i] : (v120(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)))))) | (v120(constB55) <=> (~(v90(constB55, bitIndex2) | v90(constB55, bitIndex1) | (~v90(constB55, bitIndex0)))))),
% 14.39/9.67 inference(modus_ponens,[status(thm)],[9820, 9819])).
% 14.39/9.67 tff(9822,plain,
% 14.39/9.67 (v120(constB55) <=> (~(v90(constB55, bitIndex2) | v90(constB55, bitIndex1) | (~v90(constB55, bitIndex0))))),
% 14.39/9.67 inference(unit_resolution,[status(thm)],[9821, 966])).
% 14.39/9.67 tff(9823,plain,
% 14.39/9.67 ((v90(constB55, bitIndex2) | v90(constB55, bitIndex1) | (~v90(constB55, bitIndex0))) | (~v90(constB55, bitIndex2))),
% 14.39/9.67 inference(tautology,[status(thm)],[])).
% 14.39/9.67 tff(9824,plain,
% 14.39/9.67 (v90(constB55, bitIndex2) | v90(constB55, bitIndex1) | (~v90(constB55, bitIndex0))),
% 14.39/9.67 inference(unit_resolution,[status(thm)],[9823, 9643])).
% 14.39/9.67 tff(9825,plain,
% 14.39/9.67 ((~(v120(constB55) <=> (~(v90(constB55, bitIndex2) | v90(constB55, bitIndex1) | (~v90(constB55, bitIndex0)))))) | (~v120(constB55)) | (~(v90(constB55, bitIndex2) | v90(constB55, bitIndex1) | (~v90(constB55, bitIndex0))))),
% 14.39/9.67 inference(tautology,[status(thm)],[])).
% 14.39/9.67 tff(9826,plain,
% 14.39/9.67 (~v120(constB55)),
% 14.39/9.67 inference(unit_resolution,[status(thm)],[9825, 9824, 9822])).
% 14.39/9.67 tff(9827,plain,
% 14.39/9.67 (((~![VarCurr: $i] : (v124(VarCurr) | v123(VarCurr) | v122(VarCurr) | v121(VarCurr) | v120(VarCurr) | v119(VarCurr) | ![B: $i] : ((~less_3(B)) | (v130(VarCurr, B) <=> b001(B))))) | (v119(constB55) | v120(constB55) | v121(constB55) | v122(constB55) | v123(constB55) | v124(constB55) | ![B: $i] : ((~less_3(B)) | (v130(constB55, B) <=> b001(B))))) <=> ((~![VarCurr: $i] : (v124(VarCurr) | v123(VarCurr) | v122(VarCurr) | v121(VarCurr) | v120(VarCurr) | v119(VarCurr) | ![B: $i] : ((~less_3(B)) | (v130(VarCurr, B) <=> b001(B))))) | v119(constB55) | v120(constB55) | v121(constB55) | v122(constB55) | v123(constB55) | v124(constB55) | ![B: $i] : ((~less_3(B)) | (v130(constB55, B) <=> b001(B))))),
% 14.39/9.67 inference(rewrite,[status(thm)],[])).
% 14.39/9.67 tff(9828,plain,
% 14.39/9.67 ((v124(constB55) | v123(constB55) | v122(constB55) | v121(constB55) | v120(constB55) | v119(constB55) | ![B: $i] : ((~less_3(B)) | (v130(constB55, B) <=> b001(B)))) <=> (v119(constB55) | v120(constB55) | v121(constB55) | v122(constB55) | v123(constB55) | v124(constB55) | ![B: $i] : ((~less_3(B)) | (v130(constB55, B) <=> b001(B))))),
% 14.39/9.67 inference(rewrite,[status(thm)],[])).
% 14.39/9.67 tff(9829,plain,
% 14.39/9.67 (((~![VarCurr: $i] : (v124(VarCurr) | v123(VarCurr) | v122(VarCurr) | v121(VarCurr) | v120(VarCurr) | v119(VarCurr) | ![B: $i] : ((~less_3(B)) | (v130(VarCurr, B) <=> b001(B))))) | (v124(constB55) | v123(constB55) | v122(constB55) | v121(constB55) | v120(constB55) | v119(constB55) | ![B: $i] : ((~less_3(B)) | (v130(constB55, B) <=> b001(B))))) <=> ((~![VarCurr: $i] : (v124(VarCurr) | v123(VarCurr) | v122(VarCurr) | v121(VarCurr) | v120(VarCurr) | v119(VarCurr) | ![B: $i] : ((~less_3(B)) | (v130(VarCurr, B) <=> b001(B))))) | (v119(constB55) | v120(constB55) | v121(constB55) | v122(constB55) | v123(constB55) | v124(constB55) | ![B: $i] : ((~less_3(B)) | (v130(constB55, B) <=> b001(B)))))),
% 14.39/9.67 inference(monotonicity,[status(thm)],[9828])).
% 14.39/9.67 tff(9830,plain,
% 14.39/9.67 (((~![VarCurr: $i] : (v124(VarCurr) | v123(VarCurr) | v122(VarCurr) | v121(VarCurr) | v120(VarCurr) | v119(VarCurr) | ![B: $i] : ((~less_3(B)) | (v130(VarCurr, B) <=> b001(B))))) | (v124(constB55) | v123(constB55) | v122(constB55) | v121(constB55) | v120(constB55) | v119(constB55) | ![B: $i] : ((~less_3(B)) | (v130(constB55, B) <=> b001(B))))) <=> ((~![VarCurr: $i] : (v124(VarCurr) | v123(VarCurr) | v122(VarCurr) | v121(VarCurr) | v120(VarCurr) | v119(VarCurr) | ![B: $i] : ((~less_3(B)) | (v130(VarCurr, B) <=> b001(B))))) | v119(constB55) | v120(constB55) | v121(constB55) | v122(constB55) | v123(constB55) | v124(constB55) | ![B: $i] : ((~less_3(B)) | (v130(constB55, B) <=> b001(B))))),
% 14.39/9.67 inference(transitivity,[status(thm)],[9829, 9827])).
% 14.39/9.67 tff(9831,plain,
% 14.39/9.67 ((~![VarCurr: $i] : (v124(VarCurr) | v123(VarCurr) | v122(VarCurr) | v121(VarCurr) | v120(VarCurr) | v119(VarCurr) | ![B: $i] : ((~less_3(B)) | (v130(VarCurr, B) <=> b001(B))))) | (v124(constB55) | v123(constB55) | v122(constB55) | v121(constB55) | v120(constB55) | v119(constB55) | ![B: $i] : ((~less_3(B)) | (v130(constB55, B) <=> b001(B))))),
% 14.39/9.67 inference(quant_inst,[status(thm)],[])).
% 14.39/9.67 tff(9832,plain,
% 14.39/9.67 ((~![VarCurr: $i] : (v124(VarCurr) | v123(VarCurr) | v122(VarCurr) | v121(VarCurr) | v120(VarCurr) | v119(VarCurr) | ![B: $i] : ((~less_3(B)) | (v130(VarCurr, B) <=> b001(B))))) | v119(constB55) | v120(constB55) | v121(constB55) | v122(constB55) | v123(constB55) | v124(constB55) | ![B: $i] : ((~less_3(B)) | (v130(constB55, B) <=> b001(B)))),
% 14.39/9.67 inference(modus_ponens,[status(thm)],[9831, 9830])).
% 14.39/9.67 tff(9833,plain,
% 14.39/9.67 (v119(constB55) | v120(constB55) | v121(constB55) | v122(constB55) | v123(constB55) | v124(constB55) | ![B: $i] : ((~less_3(B)) | (v130(constB55, B) <=> b001(B)))),
% 14.39/9.67 inference(unit_resolution,[status(thm)],[9832, 5610])).
% 14.39/9.67 tff(9834,plain,
% 14.39/9.67 (![B: $i] : ((~less_3(B)) | (v130(constB55, B) <=> b001(B)))),
% 14.39/9.67 inference(unit_resolution,[status(thm)],[9833, 9826, 9815, 9804, 9793, 9782, 9771])).
% 14.39/9.67 tff(9835,plain,
% 14.39/9.67 (((~![B: $i] : ((~less_3(B)) | (v130(constB55, B) <=> b001(B)))) | ((~less_3(bitIndex2)) | (v130(constB55, bitIndex2) <=> b001(bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v130(constB55, B) <=> b001(B)))) | (~less_3(bitIndex2)) | (v130(constB55, bitIndex2) <=> b001(bitIndex2)))),
% 14.39/9.67 inference(rewrite,[status(thm)],[])).
% 14.39/9.67 tff(9836,plain,
% 14.39/9.67 ((~![B: $i] : ((~less_3(B)) | (v130(constB55, B) <=> b001(B)))) | ((~less_3(bitIndex2)) | (v130(constB55, bitIndex2) <=> b001(bitIndex2)))),
% 14.39/9.67 inference(quant_inst,[status(thm)],[])).
% 14.39/9.67 tff(9837,plain,
% 14.39/9.67 ((~![B: $i] : ((~less_3(B)) | (v130(constB55, B) <=> b001(B)))) | (~less_3(bitIndex2)) | (v130(constB55, bitIndex2) <=> b001(bitIndex2))),
% 14.39/9.67 inference(modus_ponens,[status(thm)],[9836, 9835])).
% 14.39/9.67 tff(9838,plain,
% 14.39/9.67 (v130(constB55, bitIndex2) <=> b001(bitIndex2)),
% 14.39/9.67 inference(unit_resolution,[status(thm)],[9837, 413, 9834])).
% 14.39/9.67 tff(9839,plain,
% 14.39/9.67 ((~(v130(constB55, bitIndex2) <=> b001(bitIndex2))) | (~v130(constB55, bitIndex2)) | b001(bitIndex2)),
% 14.39/9.67 inference(tautology,[status(thm)],[])).
% 14.39/9.67 tff(9840,plain,
% 14.39/9.67 ((~(v130(constB55, bitIndex2) <=> b001(bitIndex2))) | (~v130(constB55, bitIndex2))),
% 14.39/9.67 inference(unit_resolution,[status(thm)],[9839, 5625])).
% 14.39/9.67 tff(9841,plain,
% 14.39/9.67 (~v130(constB55, bitIndex2)),
% 14.39/9.67 inference(unit_resolution,[status(thm)],[9840, 9838])).
% 14.39/9.67 tff(9842,plain,
% 14.39/9.67 ((~(v127(constB55, bitIndex2) <=> v130(constB55, bitIndex2))) | (~v127(constB55, bitIndex2)) | v130(constB55, bitIndex2)),
% 14.39/9.67 inference(tautology,[status(thm)],[])).
% 14.39/9.67 tff(9843,plain,
% 14.39/9.67 (~v127(constB55, bitIndex2)),
% 14.39/9.67 inference(unit_resolution,[status(thm)],[9842, 9841, 9765])).
% 14.39/9.67 tff(9844,plain,
% 14.39/9.67 ((~(v129(constB56, bitIndex2) <=> v127(constB55, bitIndex2))) | (~v129(constB56, bitIndex2)) | v127(constB55, bitIndex2)),
% 14.39/9.67 inference(tautology,[status(thm)],[])).
% 14.39/9.67 tff(9845,plain,
% 14.39/9.67 (~v129(constB56, bitIndex2)),
% 14.39/9.67 inference(unit_resolution,[status(thm)],[9844, 9843, 9757])).
% 14.39/9.67 tff(9846,plain,
% 14.39/9.67 ((~(v90(constB56, bitIndex2) <=> v129(constB56, bitIndex2))) | (~v90(constB56, bitIndex2)) | v129(constB56, bitIndex2)),
% 14.39/9.67 inference(tautology,[status(thm)],[])).
% 14.39/9.67 tff(9847,plain,
% 14.39/9.67 (~v90(constB56, bitIndex2)),
% 14.39/9.67 inference(unit_resolution,[status(thm)],[9846, 9845, 9749])).
% 14.39/9.67 tff(9848,plain,
% 14.39/9.67 ((~(v90(constB57, bitIndex2) <=> v90(constB56, bitIndex2))) | (~v90(constB57, bitIndex2)) | v90(constB56, bitIndex2)),
% 14.39/9.67 inference(tautology,[status(thm)],[])).
% 14.39/9.67 tff(9849,plain,
% 14.39/9.67 (~v90(constB57, bitIndex2)),
% 14.39/9.67 inference(unit_resolution,[status(thm)],[9848, 9847, 2407])).
% 14.39/9.67 tff(9850,plain,
% 14.39/9.67 (((~![B: $i] : ((~less_3(B)) | (v90(constB57, B) <=> v90(constB56, B)))) | ((~less_3(bitIndex0)) | (v90(constB57, bitIndex0) <=> v90(constB56, bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v90(constB57, B) <=> v90(constB56, B)))) | (~less_3(bitIndex0)) | (v90(constB57, bitIndex0) <=> v90(constB56, bitIndex0)))),
% 14.39/9.67 inference(rewrite,[status(thm)],[])).
% 14.39/9.67 tff(9851,plain,
% 14.39/9.67 ((~![B: $i] : ((~less_3(B)) | (v90(constB57, B) <=> v90(constB56, B)))) | ((~less_3(bitIndex0)) | (v90(constB57, bitIndex0) <=> v90(constB56, bitIndex0)))),
% 14.39/9.67 inference(quant_inst,[status(thm)],[])).
% 14.39/9.67 tff(9852,plain,
% 14.39/9.67 ((~![B: $i] : ((~less_3(B)) | (v90(constB57, B) <=> v90(constB56, B)))) | (~less_3(bitIndex0)) | (v90(constB57, bitIndex0) <=> v90(constB56, bitIndex0))),
% 14.39/9.67 inference(modus_ponens,[status(thm)],[9851, 9850])).
% 14.39/9.67 tff(9853,plain,
% 14.39/9.67 (v90(constB57, bitIndex0) <=> v90(constB56, bitIndex0)),
% 14.39/9.67 inference(unit_resolution,[status(thm)],[9852, 5004, 2403])).
% 14.39/9.67 tff(9854,plain,
% 14.39/9.67 (((~![B: $i] : ((~less_3(B)) | (v90(constB56, B) <=> v129(constB56, B)))) | ((~less_3(bitIndex0)) | (v90(constB56, bitIndex0) <=> v129(constB56, bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v90(constB56, B) <=> v129(constB56, B)))) | (~less_3(bitIndex0)) | (v90(constB56, bitIndex0) <=> v129(constB56, bitIndex0)))),
% 14.39/9.67 inference(rewrite,[status(thm)],[])).
% 14.39/9.67 tff(9855,plain,
% 14.39/9.67 ((~![B: $i] : ((~less_3(B)) | (v90(constB56, B) <=> v129(constB56, B)))) | ((~less_3(bitIndex0)) | (v90(constB56, bitIndex0) <=> v129(constB56, bitIndex0)))),
% 14.39/9.67 inference(quant_inst,[status(thm)],[])).
% 14.39/9.67 tff(9856,plain,
% 14.39/9.67 ((~![B: $i] : ((~less_3(B)) | (v90(constB56, B) <=> v129(constB56, B)))) | (~less_3(bitIndex0)) | (v90(constB56, bitIndex0) <=> v129(constB56, bitIndex0))),
% 14.39/9.67 inference(modus_ponens,[status(thm)],[9855, 9854])).
% 14.39/9.67 tff(9857,plain,
% 14.39/9.67 (v90(constB56, bitIndex0) <=> v129(constB56, bitIndex0)),
% 14.39/9.67 inference(unit_resolution,[status(thm)],[9856, 5004, 9745])).
% 14.39/9.67 tff(9858,plain,
% 14.39/9.67 (((~![B: $i] : ((~less_3(B)) | (v129(constB56, B) <=> v127(constB55, B)))) | ((~less_3(bitIndex0)) | (v129(constB56, bitIndex0) <=> v127(constB55, bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v129(constB56, B) <=> v127(constB55, B)))) | (~less_3(bitIndex0)) | (v129(constB56, bitIndex0) <=> v127(constB55, bitIndex0)))),
% 14.39/9.67 inference(rewrite,[status(thm)],[])).
% 14.39/9.67 tff(9859,plain,
% 14.39/9.67 ((~![B: $i] : ((~less_3(B)) | (v129(constB56, B) <=> v127(constB55, B)))) | ((~less_3(bitIndex0)) | (v129(constB56, bitIndex0) <=> v127(constB55, bitIndex0)))),
% 14.39/9.67 inference(quant_inst,[status(thm)],[])).
% 14.39/9.67 tff(9860,plain,
% 14.39/9.67 ((~![B: $i] : ((~less_3(B)) | (v129(constB56, B) <=> v127(constB55, B)))) | (~less_3(bitIndex0)) | (v129(constB56, bitIndex0) <=> v127(constB55, bitIndex0))),
% 14.39/9.67 inference(modus_ponens,[status(thm)],[9859, 9858])).
% 14.39/9.67 tff(9861,plain,
% 14.39/9.67 (v129(constB56, bitIndex0) <=> v127(constB55, bitIndex0)),
% 14.39/9.67 inference(unit_resolution,[status(thm)],[9860, 5004, 9753])).
% 14.39/9.67 tff(9862,plain,
% 14.39/9.67 (((~![B: $i] : ((~less_3(B)) | (v127(constB55, B) <=> v130(constB55, B)))) | ((~less_3(bitIndex0)) | (v127(constB55, bitIndex0) <=> v130(constB55, bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v127(constB55, B) <=> v130(constB55, B)))) | (~less_3(bitIndex0)) | (v127(constB55, bitIndex0) <=> v130(constB55, bitIndex0)))),
% 14.39/9.67 inference(rewrite,[status(thm)],[])).
% 14.39/9.67 tff(9863,plain,
% 14.39/9.67 ((~![B: $i] : ((~less_3(B)) | (v127(constB55, B) <=> v130(constB55, B)))) | ((~less_3(bitIndex0)) | (v127(constB55, bitIndex0) <=> v130(constB55, bitIndex0)))),
% 14.39/9.67 inference(quant_inst,[status(thm)],[])).
% 14.39/9.67 tff(9864,plain,
% 14.39/9.67 ((~![B: $i] : ((~less_3(B)) | (v127(constB55, B) <=> v130(constB55, B)))) | (~less_3(bitIndex0)) | (v127(constB55, bitIndex0) <=> v130(constB55, bitIndex0))),
% 14.39/9.67 inference(modus_ponens,[status(thm)],[9863, 9862])).
% 14.39/9.67 tff(9865,plain,
% 14.39/9.67 (v127(constB55, bitIndex0) <=> v130(constB55, bitIndex0)),
% 14.39/9.67 inference(unit_resolution,[status(thm)],[9864, 5004, 9761])).
% 14.39/9.67 tff(9866,plain,
% 14.39/9.67 (((~![B: $i] : ((~less_3(B)) | (v130(constB55, B) <=> b001(B)))) | ((~less_3(bitIndex0)) | (v130(constB55, bitIndex0) <=> b001(bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v130(constB55, B) <=> b001(B)))) | (~less_3(bitIndex0)) | (v130(constB55, bitIndex0) <=> b001(bitIndex0)))),
% 14.39/9.67 inference(rewrite,[status(thm)],[])).
% 14.39/9.67 tff(9867,plain,
% 14.39/9.67 ((~![B: $i] : ((~less_3(B)) | (v130(constB55, B) <=> b001(B)))) | ((~less_3(bitIndex0)) | (v130(constB55, bitIndex0) <=> b001(bitIndex0)))),
% 14.39/9.67 inference(quant_inst,[status(thm)],[])).
% 14.39/9.67 tff(9868,plain,
% 14.39/9.67 ((~![B: $i] : ((~less_3(B)) | (v130(constB55, B) <=> b001(B)))) | (~less_3(bitIndex0)) | (v130(constB55, bitIndex0) <=> b001(bitIndex0))),
% 14.39/9.67 inference(modus_ponens,[status(thm)],[9867, 9866])).
% 14.39/9.67 tff(9869,plain,
% 14.39/9.67 (v130(constB55, bitIndex0) <=> b001(bitIndex0)),
% 14.39/9.67 inference(unit_resolution,[status(thm)],[9868, 5004, 9834])).
% 14.39/9.67 tff(9870,plain,
% 14.39/9.67 ((~(v130(constB55, bitIndex0) <=> b001(bitIndex0))) | v130(constB55, bitIndex0) | (~b001(bitIndex0))),
% 14.39/9.68 inference(tautology,[status(thm)],[])).
% 14.39/9.68 tff(9871,plain,
% 14.39/9.68 ((~(v130(constB55, bitIndex0) <=> b001(bitIndex0))) | v130(constB55, bitIndex0)),
% 14.39/9.68 inference(unit_resolution,[status(thm)],[9870, 5659])).
% 14.39/9.68 tff(9872,plain,
% 14.39/9.68 (v130(constB55, bitIndex0)),
% 14.39/9.68 inference(unit_resolution,[status(thm)],[9871, 9869])).
% 14.39/9.68 tff(9873,plain,
% 14.39/9.68 ((~(v127(constB55, bitIndex0) <=> v130(constB55, bitIndex0))) | v127(constB55, bitIndex0) | (~v130(constB55, bitIndex0))),
% 14.39/9.68 inference(tautology,[status(thm)],[])).
% 14.39/9.68 tff(9874,plain,
% 14.39/9.68 (v127(constB55, bitIndex0)),
% 14.39/9.68 inference(unit_resolution,[status(thm)],[9873, 9872, 9865])).
% 14.39/9.68 tff(9875,plain,
% 14.39/9.68 ((~(v129(constB56, bitIndex0) <=> v127(constB55, bitIndex0))) | v129(constB56, bitIndex0) | (~v127(constB55, bitIndex0))),
% 14.39/9.68 inference(tautology,[status(thm)],[])).
% 14.39/9.68 tff(9876,plain,
% 14.39/9.68 (v129(constB56, bitIndex0)),
% 14.39/9.68 inference(unit_resolution,[status(thm)],[9875, 9874, 9861])).
% 14.39/9.68 tff(9877,plain,
% 14.39/9.68 ((~(v90(constB56, bitIndex0) <=> v129(constB56, bitIndex0))) | v90(constB56, bitIndex0) | (~v129(constB56, bitIndex0))),
% 14.39/9.68 inference(tautology,[status(thm)],[])).
% 14.39/9.68 tff(9878,plain,
% 14.39/9.68 (v90(constB56, bitIndex0)),
% 14.39/9.68 inference(unit_resolution,[status(thm)],[9877, 9876, 9857])).
% 14.39/9.68 tff(9879,plain,
% 14.39/9.68 ((~(v90(constB57, bitIndex0) <=> v90(constB56, bitIndex0))) | v90(constB57, bitIndex0) | (~v90(constB56, bitIndex0))),
% 14.39/9.68 inference(tautology,[status(thm)],[])).
% 14.39/9.68 tff(9880,plain,
% 14.39/9.68 (v90(constB57, bitIndex0)),
% 14.39/9.68 inference(unit_resolution,[status(thm)],[9879, 9878, 9853])).
% 14.39/9.68 tff(9881,plain,
% 14.39/9.68 (((~![B: $i] : ((~less_3(B)) | (v90(constB57, B) <=> v90(constB56, B)))) | ((~less_3(bitIndex1)) | (v90(constB57, bitIndex1) <=> v90(constB56, bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v90(constB57, B) <=> v90(constB56, B)))) | (~less_3(bitIndex1)) | (v90(constB57, bitIndex1) <=> v90(constB56, bitIndex1)))),
% 14.39/9.68 inference(rewrite,[status(thm)],[])).
% 14.39/9.68 tff(9882,plain,
% 14.39/9.68 ((~![B: $i] : ((~less_3(B)) | (v90(constB57, B) <=> v90(constB56, B)))) | ((~less_3(bitIndex1)) | (v90(constB57, bitIndex1) <=> v90(constB56, bitIndex1)))),
% 14.39/9.68 inference(quant_inst,[status(thm)],[])).
% 14.39/9.68 tff(9883,plain,
% 14.39/9.68 ((~![B: $i] : ((~less_3(B)) | (v90(constB57, B) <=> v90(constB56, B)))) | (~less_3(bitIndex1)) | (v90(constB57, bitIndex1) <=> v90(constB56, bitIndex1))),
% 14.39/9.68 inference(modus_ponens,[status(thm)],[9882, 9881])).
% 14.39/9.68 tff(9884,plain,
% 14.39/9.68 (v90(constB57, bitIndex1) <=> v90(constB56, bitIndex1)),
% 14.39/9.68 inference(unit_resolution,[status(thm)],[9883, 5017, 2403])).
% 14.39/9.68 tff(9885,plain,
% 14.39/9.68 (((~![B: $i] : ((~less_3(B)) | (v90(constB56, B) <=> v129(constB56, B)))) | ((~less_3(bitIndex1)) | (v90(constB56, bitIndex1) <=> v129(constB56, bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v90(constB56, B) <=> v129(constB56, B)))) | (~less_3(bitIndex1)) | (v90(constB56, bitIndex1) <=> v129(constB56, bitIndex1)))),
% 14.39/9.68 inference(rewrite,[status(thm)],[])).
% 14.39/9.68 tff(9886,plain,
% 14.39/9.68 ((~![B: $i] : ((~less_3(B)) | (v90(constB56, B) <=> v129(constB56, B)))) | ((~less_3(bitIndex1)) | (v90(constB56, bitIndex1) <=> v129(constB56, bitIndex1)))),
% 14.39/9.68 inference(quant_inst,[status(thm)],[])).
% 14.39/9.68 tff(9887,plain,
% 14.39/9.68 ((~![B: $i] : ((~less_3(B)) | (v90(constB56, B) <=> v129(constB56, B)))) | (~less_3(bitIndex1)) | (v90(constB56, bitIndex1) <=> v129(constB56, bitIndex1))),
% 14.39/9.68 inference(modus_ponens,[status(thm)],[9886, 9885])).
% 14.39/9.68 tff(9888,plain,
% 14.39/9.68 (v90(constB56, bitIndex1) <=> v129(constB56, bitIndex1)),
% 14.39/9.68 inference(unit_resolution,[status(thm)],[9887, 5017, 9745])).
% 14.39/9.68 tff(9889,plain,
% 14.39/9.68 (((~![B: $i] : ((~less_3(B)) | (v129(constB56, B) <=> v127(constB55, B)))) | ((~less_3(bitIndex1)) | (v129(constB56, bitIndex1) <=> v127(constB55, bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v129(constB56, B) <=> v127(constB55, B)))) | (~less_3(bitIndex1)) | (v129(constB56, bitIndex1) <=> v127(constB55, bitIndex1)))),
% 14.39/9.68 inference(rewrite,[status(thm)],[])).
% 14.39/9.68 tff(9890,plain,
% 14.39/9.68 ((~![B: $i] : ((~less_3(B)) | (v129(constB56, B) <=> v127(constB55, B)))) | ((~less_3(bitIndex1)) | (v129(constB56, bitIndex1) <=> v127(constB55, bitIndex1)))),
% 14.39/9.68 inference(quant_inst,[status(thm)],[])).
% 14.39/9.68 tff(9891,plain,
% 14.39/9.68 ((~![B: $i] : ((~less_3(B)) | (v129(constB56, B) <=> v127(constB55, B)))) | (~less_3(bitIndex1)) | (v129(constB56, bitIndex1) <=> v127(constB55, bitIndex1))),
% 14.39/9.68 inference(modus_ponens,[status(thm)],[9890, 9889])).
% 14.39/9.68 tff(9892,plain,
% 14.39/9.68 (v129(constB56, bitIndex1) <=> v127(constB55, bitIndex1)),
% 14.39/9.68 inference(unit_resolution,[status(thm)],[9891, 5017, 9753])).
% 14.39/9.68 tff(9893,plain,
% 14.39/9.68 (((~![B: $i] : ((~less_3(B)) | (v127(constB55, B) <=> v130(constB55, B)))) | ((~less_3(bitIndex1)) | (v127(constB55, bitIndex1) <=> v130(constB55, bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v127(constB55, B) <=> v130(constB55, B)))) | (~less_3(bitIndex1)) | (v127(constB55, bitIndex1) <=> v130(constB55, bitIndex1)))),
% 14.39/9.68 inference(rewrite,[status(thm)],[])).
% 14.39/9.68 tff(9894,plain,
% 14.39/9.68 ((~![B: $i] : ((~less_3(B)) | (v127(constB55, B) <=> v130(constB55, B)))) | ((~less_3(bitIndex1)) | (v127(constB55, bitIndex1) <=> v130(constB55, bitIndex1)))),
% 14.39/9.68 inference(quant_inst,[status(thm)],[])).
% 14.39/9.68 tff(9895,plain,
% 14.39/9.68 ((~![B: $i] : ((~less_3(B)) | (v127(constB55, B) <=> v130(constB55, B)))) | (~less_3(bitIndex1)) | (v127(constB55, bitIndex1) <=> v130(constB55, bitIndex1))),
% 14.39/9.68 inference(modus_ponens,[status(thm)],[9894, 9893])).
% 14.39/9.68 tff(9896,plain,
% 14.39/9.68 (v127(constB55, bitIndex1) <=> v130(constB55, bitIndex1)),
% 14.39/9.68 inference(unit_resolution,[status(thm)],[9895, 5017, 9761])).
% 14.39/9.68 tff(9897,plain,
% 14.39/9.68 (((~![B: $i] : ((~less_3(B)) | (v130(constB55, B) <=> b001(B)))) | ((~less_3(bitIndex1)) | (v130(constB55, bitIndex1) <=> b001(bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v130(constB55, B) <=> b001(B)))) | (~less_3(bitIndex1)) | (v130(constB55, bitIndex1) <=> b001(bitIndex1)))),
% 14.39/9.68 inference(rewrite,[status(thm)],[])).
% 14.39/9.68 tff(9898,plain,
% 14.39/9.68 ((~![B: $i] : ((~less_3(B)) | (v130(constB55, B) <=> b001(B)))) | ((~less_3(bitIndex1)) | (v130(constB55, bitIndex1) <=> b001(bitIndex1)))),
% 14.39/9.68 inference(quant_inst,[status(thm)],[])).
% 14.39/9.68 tff(9899,plain,
% 14.39/9.68 ((~![B: $i] : ((~less_3(B)) | (v130(constB55, B) <=> b001(B)))) | (~less_3(bitIndex1)) | (v130(constB55, bitIndex1) <=> b001(bitIndex1))),
% 14.39/9.68 inference(modus_ponens,[status(thm)],[9898, 9897])).
% 14.39/9.68 tff(9900,plain,
% 14.39/9.68 (v130(constB55, bitIndex1) <=> b001(bitIndex1)),
% 14.39/9.68 inference(unit_resolution,[status(thm)],[9899, 5017, 9834])).
% 14.39/9.68 tff(9901,plain,
% 14.39/9.68 ((~(v130(constB55, bitIndex1) <=> b001(bitIndex1))) | (~v130(constB55, bitIndex1)) | b001(bitIndex1)),
% 14.39/9.68 inference(tautology,[status(thm)],[])).
% 14.39/9.68 tff(9902,plain,
% 14.39/9.68 ((~(v130(constB55, bitIndex1) <=> b001(bitIndex1))) | (~v130(constB55, bitIndex1))),
% 14.39/9.68 inference(unit_resolution,[status(thm)],[9901, 5693])).
% 14.39/9.68 tff(9903,plain,
% 14.39/9.68 (~v130(constB55, bitIndex1)),
% 14.39/9.68 inference(unit_resolution,[status(thm)],[9902, 9900])).
% 14.39/9.68 tff(9904,plain,
% 14.39/9.68 ((~(v127(constB55, bitIndex1) <=> v130(constB55, bitIndex1))) | (~v127(constB55, bitIndex1)) | v130(constB55, bitIndex1)),
% 14.39/9.68 inference(tautology,[status(thm)],[])).
% 14.39/9.68 tff(9905,plain,
% 14.39/9.68 (~v127(constB55, bitIndex1)),
% 14.39/9.68 inference(unit_resolution,[status(thm)],[9904, 9903, 9896])).
% 14.39/9.68 tff(9906,plain,
% 14.39/9.68 ((~(v129(constB56, bitIndex1) <=> v127(constB55, bitIndex1))) | (~v129(constB56, bitIndex1)) | v127(constB55, bitIndex1)),
% 14.39/9.68 inference(tautology,[status(thm)],[])).
% 14.39/9.68 tff(9907,plain,
% 14.39/9.68 (~v129(constB56, bitIndex1)),
% 14.39/9.68 inference(unit_resolution,[status(thm)],[9906, 9905, 9892])).
% 14.39/9.68 tff(9908,plain,
% 14.39/9.68 ((~(v90(constB56, bitIndex1) <=> v129(constB56, bitIndex1))) | (~v90(constB56, bitIndex1)) | v129(constB56, bitIndex1)),
% 14.39/9.68 inference(tautology,[status(thm)],[])).
% 14.39/9.68 tff(9909,plain,
% 14.39/9.68 (~v90(constB56, bitIndex1)),
% 14.39/9.68 inference(unit_resolution,[status(thm)],[9908, 9907, 9888])).
% 14.39/9.68 tff(9910,plain,
% 14.39/9.68 ((~(v90(constB57, bitIndex1) <=> v90(constB56, bitIndex1))) | (~v90(constB57, bitIndex1)) | v90(constB56, bitIndex1)),
% 14.39/9.68 inference(tautology,[status(thm)],[])).
% 14.39/9.68 tff(9911,plain,
% 14.39/9.68 (~v90(constB57, bitIndex1)),
% 14.39/9.68 inference(unit_resolution,[status(thm)],[9910, 9909, 9884])).
% 14.39/9.68 tff(9912,plain,
% 14.39/9.68 ((~(v90(constB57, bitIndex2) | v90(constB57, bitIndex1) | (~v90(constB57, bitIndex0)))) | v90(constB57, bitIndex2) | v90(constB57, bitIndex1) | (~v90(constB57, bitIndex0))),
% 14.39/9.68 inference(tautology,[status(thm)],[])).
% 14.39/9.68 tff(9913,plain,
% 14.39/9.68 (~(v90(constB57, bitIndex2) | v90(constB57, bitIndex1) | (~v90(constB57, bitIndex0)))),
% 14.39/9.68 inference(unit_resolution,[status(thm)],[9912, 9911, 9880, 9849])).
% 14.39/9.68 tff(9914,plain,
% 14.39/9.68 ((~(v120(constB57) <=> (~(v90(constB57, bitIndex2) | v90(constB57, bitIndex1) | (~v90(constB57, bitIndex0)))))) | v120(constB57) | (v90(constB57, bitIndex2) | v90(constB57, bitIndex1) | (~v90(constB57, bitIndex0)))),
% 14.39/9.68 inference(tautology,[status(thm)],[])).
% 14.39/9.68 tff(9915,plain,
% 14.39/9.68 (v120(constB57)),
% 14.39/9.68 inference(unit_resolution,[status(thm)],[9914, 9913, 2375])).
% 14.39/9.68 tff(9916,plain,
% 14.39/9.68 ((v119(constB57) | v120(constB57)) | (~v120(constB57))),
% 14.39/9.68 inference(tautology,[status(thm)],[])).
% 14.39/9.68 tff(9917,plain,
% 14.39/9.68 (v119(constB57) | v120(constB57)),
% 14.39/9.68 inference(unit_resolution,[status(thm)],[9916, 9915])).
% 14.39/9.68 tff(9918,plain,
% 14.39/9.68 ((~(v118(constB57) <=> (v119(constB57) | v120(constB57)))) | v118(constB57) | (~(v119(constB57) | v120(constB57)))),
% 14.39/9.68 inference(tautology,[status(thm)],[])).
% 14.39/9.68 tff(9919,plain,
% 14.39/9.68 (v118(constB57)),
% 14.39/9.68 inference(unit_resolution,[status(thm)],[9918, 9917, 2368])).
% 14.39/9.68 tff(9920,plain,
% 14.39/9.68 ((v118(constB57) | v121(constB57)) | (~v118(constB57))),
% 14.39/9.68 inference(tautology,[status(thm)],[])).
% 14.39/9.68 tff(9921,plain,
% 14.39/9.68 (v118(constB57) | v121(constB57)),
% 14.39/9.68 inference(unit_resolution,[status(thm)],[9920, 9919])).
% 14.39/9.68 tff(9922,plain,
% 14.39/9.68 ((~(v117(constB57) <=> (v118(constB57) | v121(constB57)))) | v117(constB57) | (~(v118(constB57) | v121(constB57)))),
% 14.39/9.68 inference(tautology,[status(thm)],[])).
% 14.39/9.68 tff(9923,plain,
% 14.39/9.68 (v117(constB57)),
% 14.39/9.68 inference(unit_resolution,[status(thm)],[9922, 9921, 2366])).
% 14.39/9.68 tff(9924,plain,
% 14.39/9.68 ((v117(constB57) | v122(constB57)) | (~v117(constB57))),
% 14.39/9.68 inference(tautology,[status(thm)],[])).
% 14.39/9.68 tff(9925,plain,
% 14.39/9.68 (v117(constB57) | v122(constB57)),
% 14.39/9.68 inference(unit_resolution,[status(thm)],[9924, 9923])).
% 14.39/9.68 tff(9926,plain,
% 14.39/9.68 ((~(v116(constB57) <=> (v117(constB57) | v122(constB57)))) | v116(constB57) | (~(v117(constB57) | v122(constB57)))),
% 14.39/9.68 inference(tautology,[status(thm)],[])).
% 14.39/9.68 tff(9927,plain,
% 14.39/9.68 (v116(constB57)),
% 14.39/9.68 inference(unit_resolution,[status(thm)],[9926, 9925, 2364])).
% 14.39/9.68 tff(9928,plain,
% 14.39/9.68 ((v116(constB57) | v123(constB57)) | (~v116(constB57))),
% 14.39/9.68 inference(tautology,[status(thm)],[])).
% 14.39/9.68 tff(9929,plain,
% 14.39/9.68 (v116(constB57) | v123(constB57)),
% 14.39/9.68 inference(unit_resolution,[status(thm)],[9928, 9927])).
% 14.39/9.68 tff(9930,plain,
% 14.39/9.68 ((~(v115(constB57) <=> (v116(constB57) | v123(constB57)))) | v115(constB57) | (~(v116(constB57) | v123(constB57)))),
% 14.39/9.68 inference(tautology,[status(thm)],[])).
% 14.39/9.68 tff(9931,plain,
% 14.39/9.68 (v115(constB57)),
% 14.39/9.68 inference(unit_resolution,[status(thm)],[9930, 9929, 2362])).
% 14.39/9.68 tff(9932,plain,
% 14.39/9.68 ((v115(constB57) | v124(constB57)) | (~v115(constB57))),
% 14.39/9.68 inference(tautology,[status(thm)],[])).
% 14.39/9.68 tff(9933,plain,
% 14.39/9.68 (v115(constB57) | v124(constB57)),
% 14.39/9.68 inference(unit_resolution,[status(thm)],[9932, 9931])).
% 14.39/9.68 tff(9934,plain,
% 14.39/9.68 ((~(v114(constB57) <=> (v115(constB57) | v124(constB57)))) | v114(constB57) | (~(v115(constB57) | v124(constB57)))),
% 14.39/9.68 inference(tautology,[status(thm)],[])).
% 14.39/9.68 tff(9935,plain,
% 14.39/9.68 (v114(constB57)),
% 14.39/9.68 inference(unit_resolution,[status(thm)],[9934, 9933, 2360])).
% 14.39/9.68 tff(9936,plain,
% 14.39/9.68 ((v114(constB57) | v125(constB57)) | (~v114(constB57))),
% 14.39/9.68 inference(tautology,[status(thm)],[])).
% 14.39/9.68 tff(9937,plain,
% 14.39/9.68 (v114(constB57) | v125(constB57)),
% 14.39/9.68 inference(unit_resolution,[status(thm)],[9936, 9935])).
% 14.39/9.68 tff(9938,plain,
% 14.39/9.68 ((~(v113(constB57) <=> (v114(constB57) | v125(constB57)))) | v113(constB57) | (~(v114(constB57) | v125(constB57)))),
% 14.39/9.68 inference(tautology,[status(thm)],[])).
% 14.39/9.68 tff(9939,plain,
% 14.39/9.68 (v113(constB57)),
% 14.39/9.68 inference(unit_resolution,[status(thm)],[9938, 9937, 2358])).
% 14.39/9.68 tff(9940,plain,
% 14.39/9.68 ((~![VarCurr: $i] : ((~v126(VarCurr)) <=> v111(VarCurr))) | ((~v126(constB57)) <=> v111(constB57))),
% 14.39/9.68 inference(quant_inst,[status(thm)],[])).
% 14.39/9.68 tff(9941,plain,
% 14.39/9.68 ((~v126(constB57)) <=> v111(constB57)),
% 14.39/9.68 inference(unit_resolution,[status(thm)],[9940, 5074])).
% 14.39/9.68 tff(9942,plain,
% 14.39/9.68 ((~![VarCurr: $i] : (v111(VarCurr) <=> v26(VarCurr))) | (v111(constB57) <=> v26(constB57))),
% 14.39/9.68 inference(quant_inst,[status(thm)],[])).
% 14.39/9.68 tff(9943,plain,
% 14.39/9.68 (v111(constB57) <=> v26(constB57)),
% 14.39/9.68 inference(unit_resolution,[status(thm)],[9942, 5086])).
% 14.39/9.68 tff(9944,plain,
% 14.39/9.68 ((~![VarCurr: $i] : (~v26(VarCurr))) | (~v26(constB57))),
% 14.39/9.68 inference(quant_inst,[status(thm)],[])).
% 14.39/9.68 tff(9945,plain,
% 14.39/9.68 (~v26(constB57)),
% 14.39/9.68 inference(unit_resolution,[status(thm)],[9944, 5098])).
% 14.39/9.68 tff(9946,plain,
% 14.39/9.68 ((~(v111(constB57) <=> v26(constB57))) | (~v111(constB57)) | v26(constB57)),
% 14.39/9.68 inference(tautology,[status(thm)],[])).
% 14.39/9.68 tff(9947,plain,
% 14.39/9.68 ((~(v111(constB57) <=> v26(constB57))) | (~v111(constB57))),
% 14.39/9.68 inference(unit_resolution,[status(thm)],[9946, 9945])).
% 14.39/9.68 tff(9948,plain,
% 14.39/9.68 (~v111(constB57)),
% 14.39/9.68 inference(unit_resolution,[status(thm)],[9947, 9943])).
% 14.39/9.68 tff(9949,plain,
% 14.39/9.68 ((~((~v126(constB57)) <=> v111(constB57))) | v126(constB57) | v111(constB57)),
% 14.39/9.68 inference(tautology,[status(thm)],[])).
% 14.39/9.68 tff(9950,plain,
% 14.39/9.68 ((~((~v126(constB57)) <=> v111(constB57))) | v126(constB57)),
% 14.39/9.68 inference(unit_resolution,[status(thm)],[9949, 9948])).
% 14.39/9.68 tff(9951,plain,
% 14.39/9.68 (v126(constB57)),
% 14.39/9.68 inference(unit_resolution,[status(thm)],[9950, 9941])).
% 14.39/9.68 tff(9952,plain,
% 14.39/9.68 ((~((~v113(constB57)) | (~v126(constB57)))) | (~v113(constB57)) | (~v126(constB57))),
% 14.39/9.68 inference(tautology,[status(thm)],[])).
% 14.39/9.68 tff(9953,plain,
% 14.39/9.68 ((~((~v113(constB57)) | (~v126(constB57)))) | (~v113(constB57))),
% 14.39/9.68 inference(unit_resolution,[status(thm)],[9952, 9951])).
% 14.39/9.68 tff(9954,plain,
% 14.39/9.68 (~((~v113(constB57)) | (~v126(constB57)))),
% 14.39/9.68 inference(unit_resolution,[status(thm)],[9953, 9939])).
% 14.39/9.68 tff(9955,plain,
% 14.39/9.68 ((~(v112(constB57) <=> (~((~v113(constB57)) | (~v126(constB57)))))) | v112(constB57) | ((~v113(constB57)) | (~v126(constB57)))),
% 14.39/9.68 inference(tautology,[status(thm)],[])).
% 14.39/9.68 tff(9956,plain,
% 14.39/9.68 (v112(constB57)),
% 14.39/9.68 inference(unit_resolution,[status(thm)],[9955, 9954, 2356])).
% 14.39/9.68 tff(9957,plain,
% 14.39/9.68 ((v111(constB57) | v112(constB57)) | (~v112(constB57))),
% 14.39/9.68 inference(tautology,[status(thm)],[])).
% 14.39/9.68 tff(9958,plain,
% 14.39/9.68 (v111(constB57) | v112(constB57)),
% 14.39/9.68 inference(unit_resolution,[status(thm)],[9957, 9956])).
% 14.39/9.68 tff(9959,plain,
% 14.39/9.68 ((~(v108(constB57) <=> (v111(constB57) | v112(constB57)))) | v108(constB57) | (~(v111(constB57) | v112(constB57)))),
% 14.39/9.68 inference(tautology,[status(thm)],[])).
% 14.39/9.68 tff(9960,plain,
% 14.39/9.68 (v108(constB57)),
% 14.39/9.68 inference(unit_resolution,[status(thm)],[9959, 9958, 2354])).
% 14.39/9.68 tff(9961,plain,
% 14.39/9.68 ((~(v110(constB58) <=> v108(constB57))) | v110(constB58) | (~v108(constB57))),
% 14.39/9.68 inference(tautology,[status(thm)],[])).
% 14.39/9.68 tff(9962,plain,
% 14.39/9.68 (v110(constB58)),
% 14.39/9.68 inference(unit_resolution,[status(thm)],[9961, 9960, 2352])).
% 14.39/9.68 tff(9963,plain,
% 14.39/9.68 ((~((~v101(constB58)) | (~v110(constB58)))) | (~v101(constB58)) | (~v110(constB58))),
% 14.39/9.68 inference(tautology,[status(thm)],[])).
% 14.39/9.68 tff(9964,plain,
% 14.39/9.68 (~((~v101(constB58)) | (~v110(constB58)))),
% 14.39/9.68 inference(unit_resolution,[status(thm)],[9963, 9962, 2348])).
% 14.39/9.68 tff(9965,plain,
% 14.39/9.68 ((~(v100(constB58) <=> (~((~v101(constB58)) | (~v110(constB58)))))) | v100(constB58) | ((~v101(constB58)) | (~v110(constB58)))),
% 14.39/9.68 inference(tautology,[status(thm)],[])).
% 14.39/9.68 tff(9966,plain,
% 14.39/9.68 (v100(constB58)),
% 14.39/9.68 inference(unit_resolution,[status(thm)],[9965, 9964, 2317])).
% 14.39/9.68 tff(9967,plain,
% 14.39/9.68 (((~![VarNext: $i] : ((~v100(VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v129(VarNext, B))))) | ((~v100(constB58)) | ![B: $i] : ((~less_3(B)) | (v90(constB58, B) <=> v129(constB58, B))))) <=> ((~![VarNext: $i] : ((~v100(VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v129(VarNext, B))))) | (~v100(constB58)) | ![B: $i] : ((~less_3(B)) | (v90(constB58, B) <=> v129(constB58, B))))),
% 14.39/9.68 inference(rewrite,[status(thm)],[])).
% 14.39/9.68 tff(9968,plain,
% 14.39/9.68 ((~![VarNext: $i] : ((~v100(VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v129(VarNext, B))))) | ((~v100(constB58)) | ![B: $i] : ((~less_3(B)) | (v90(constB58, B) <=> v129(constB58, B))))),
% 14.39/9.68 inference(quant_inst,[status(thm)],[])).
% 14.39/9.68 tff(9969,plain,
% 14.39/9.68 ((~![VarNext: $i] : ((~v100(VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v129(VarNext, B))))) | (~v100(constB58)) | ![B: $i] : ((~less_3(B)) | (v90(constB58, B) <=> v129(constB58, B)))),
% 14.39/9.68 inference(modus_ponens,[status(thm)],[9968, 9967])).
% 14.39/9.68 tff(9970,plain,
% 14.39/9.68 ((~v100(constB58)) | ![B: $i] : ((~less_3(B)) | (v90(constB58, B) <=> v129(constB58, B)))),
% 14.39/9.68 inference(unit_resolution,[status(thm)],[9969, 5134])).
% 14.39/9.68 tff(9971,plain,
% 14.39/9.68 (![B: $i] : ((~less_3(B)) | (v90(constB58, B) <=> v129(constB58, B)))),
% 14.39/9.68 inference(unit_resolution,[status(thm)],[9970, 9966])).
% 14.39/9.68 tff(9972,plain,
% 14.39/9.68 (((~![B: $i] : ((~less_3(B)) | (v90(constB58, B) <=> v129(constB58, B)))) | ((~less_3(bitIndex2)) | (v90(constB58, bitIndex2) <=> v129(constB58, bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v90(constB58, B) <=> v129(constB58, B)))) | (~less_3(bitIndex2)) | (v90(constB58, bitIndex2) <=> v129(constB58, bitIndex2)))),
% 14.39/9.68 inference(rewrite,[status(thm)],[])).
% 14.39/9.68 tff(9973,plain,
% 14.39/9.68 ((~![B: $i] : ((~less_3(B)) | (v90(constB58, B) <=> v129(constB58, B)))) | ((~less_3(bitIndex2)) | (v90(constB58, bitIndex2) <=> v129(constB58, bitIndex2)))),
% 14.39/9.68 inference(quant_inst,[status(thm)],[])).
% 14.39/9.68 tff(9974,plain,
% 14.39/9.68 ((~![B: $i] : ((~less_3(B)) | (v90(constB58, B) <=> v129(constB58, B)))) | (~less_3(bitIndex2)) | (v90(constB58, bitIndex2) <=> v129(constB58, bitIndex2))),
% 14.39/9.68 inference(modus_ponens,[status(thm)],[9973, 9972])).
% 14.39/9.68 tff(9975,plain,
% 14.39/9.68 (v90(constB58, bitIndex2) <=> v129(constB58, bitIndex2)),
% 14.39/9.68 inference(unit_resolution,[status(thm)],[9974, 413, 9971])).
% 14.39/9.68 tff(9976,plain,
% 14.39/9.68 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v129(VarNext, B) <=> v127(VarCurr, B))))) | ((~nextState(constB57, constB58)) | ![B: $i] : ((~less_3(B)) | (v129(constB58, B) <=> v127(constB57, B))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v129(VarNext, B) <=> v127(VarCurr, B))))) | (~nextState(constB57, constB58)) | ![B: $i] : ((~less_3(B)) | (v129(constB58, B) <=> v127(constB57, B))))),
% 14.39/9.68 inference(rewrite,[status(thm)],[])).
% 14.39/9.68 tff(9977,plain,
% 14.39/9.68 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v129(VarNext, B) <=> v127(VarCurr, B))))) | ((~nextState(constB57, constB58)) | ![B: $i] : ((~less_3(B)) | (v129(constB58, B) <=> v127(constB57, B))))),
% 14.39/9.68 inference(quant_inst,[status(thm)],[])).
% 14.39/9.68 tff(9978,plain,
% 14.39/9.68 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v129(VarNext, B) <=> v127(VarCurr, B))))) | (~nextState(constB57, constB58)) | ![B: $i] : ((~less_3(B)) | (v129(constB58, B) <=> v127(constB57, B)))),
% 14.39/9.68 inference(modus_ponens,[status(thm)],[9977, 9976])).
% 14.39/9.68 tff(9979,plain,
% 14.39/9.68 (![B: $i] : ((~less_3(B)) | (v129(constB58, B) <=> v127(constB57, B)))),
% 14.39/9.68 inference(unit_resolution,[status(thm)],[9978, 2313, 5156])).
% 14.39/9.68 tff(9980,plain,
% 14.39/9.68 (((~![B: $i] : ((~less_3(B)) | (v129(constB58, B) <=> v127(constB57, B)))) | ((~less_3(bitIndex2)) | (v129(constB58, bitIndex2) <=> v127(constB57, bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v129(constB58, B) <=> v127(constB57, B)))) | (~less_3(bitIndex2)) | (v129(constB58, bitIndex2) <=> v127(constB57, bitIndex2)))),
% 14.39/9.68 inference(rewrite,[status(thm)],[])).
% 14.39/9.68 tff(9981,plain,
% 14.39/9.68 ((~![B: $i] : ((~less_3(B)) | (v129(constB58, B) <=> v127(constB57, B)))) | ((~less_3(bitIndex2)) | (v129(constB58, bitIndex2) <=> v127(constB57, bitIndex2)))),
% 14.39/9.68 inference(quant_inst,[status(thm)],[])).
% 14.39/9.68 tff(9982,plain,
% 14.39/9.68 ((~![B: $i] : ((~less_3(B)) | (v129(constB58, B) <=> v127(constB57, B)))) | (~less_3(bitIndex2)) | (v129(constB58, bitIndex2) <=> v127(constB57, bitIndex2))),
% 14.39/9.68 inference(modus_ponens,[status(thm)],[9981, 9980])).
% 14.39/9.68 tff(9983,plain,
% 14.39/9.68 (v129(constB58, bitIndex2) <=> v127(constB57, bitIndex2)),
% 14.39/9.68 inference(unit_resolution,[status(thm)],[9982, 413, 9979])).
% 14.39/9.68 tff(9984,plain,
% 14.39/9.68 (((~![VarCurr: $i] : (v111(VarCurr) | ![B: $i] : ((~less_3(B)) | (v127(VarCurr, B) <=> v130(VarCurr, B))))) | (v111(constB57) | ![B: $i] : ((~less_3(B)) | (v127(constB57, B) <=> v130(constB57, B))))) <=> ((~![VarCurr: $i] : (v111(VarCurr) | ![B: $i] : ((~less_3(B)) | (v127(VarCurr, B) <=> v130(VarCurr, B))))) | v111(constB57) | ![B: $i] : ((~less_3(B)) | (v127(constB57, B) <=> v130(constB57, B))))),
% 14.39/9.68 inference(rewrite,[status(thm)],[])).
% 14.39/9.68 tff(9985,plain,
% 14.39/9.68 ((~![VarCurr: $i] : (v111(VarCurr) | ![B: $i] : ((~less_3(B)) | (v127(VarCurr, B) <=> v130(VarCurr, B))))) | (v111(constB57) | ![B: $i] : ((~less_3(B)) | (v127(constB57, B) <=> v130(constB57, B))))),
% 14.39/9.68 inference(quant_inst,[status(thm)],[])).
% 14.39/9.68 tff(9986,plain,
% 14.39/9.68 ((~![VarCurr: $i] : (v111(VarCurr) | ![B: $i] : ((~less_3(B)) | (v127(VarCurr, B) <=> v130(VarCurr, B))))) | v111(constB57) | ![B: $i] : ((~less_3(B)) | (v127(constB57, B) <=> v130(constB57, B)))),
% 14.39/9.68 inference(modus_ponens,[status(thm)],[9985, 9984])).
% 14.39/9.68 tff(9987,plain,
% 14.39/9.68 (![B: $i] : ((~less_3(B)) | (v127(constB57, B) <=> v130(constB57, B)))),
% 14.39/9.68 inference(unit_resolution,[status(thm)],[9986, 5177, 9948])).
% 14.39/9.68 tff(9988,plain,
% 14.39/9.68 (((~![B: $i] : ((~less_3(B)) | (v127(constB57, B) <=> v130(constB57, B)))) | ((~less_3(bitIndex2)) | (v127(constB57, bitIndex2) <=> v130(constB57, bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v127(constB57, B) <=> v130(constB57, B)))) | (~less_3(bitIndex2)) | (v127(constB57, bitIndex2) <=> v130(constB57, bitIndex2)))),
% 14.39/9.68 inference(rewrite,[status(thm)],[])).
% 14.39/9.68 tff(9989,plain,
% 14.39/9.68 ((~![B: $i] : ((~less_3(B)) | (v127(constB57, B) <=> v130(constB57, B)))) | ((~less_3(bitIndex2)) | (v127(constB57, bitIndex2) <=> v130(constB57, bitIndex2)))),
% 14.39/9.68 inference(quant_inst,[status(thm)],[])).
% 14.39/9.68 tff(9990,plain,
% 14.39/9.68 ((~![B: $i] : ((~less_3(B)) | (v127(constB57, B) <=> v130(constB57, B)))) | (~less_3(bitIndex2)) | (v127(constB57, bitIndex2) <=> v130(constB57, bitIndex2))),
% 14.39/9.68 inference(modus_ponens,[status(thm)],[9989, 9988])).
% 14.39/9.68 tff(9991,plain,
% 14.39/9.68 (v127(constB57, bitIndex2) <=> v130(constB57, bitIndex2)),
% 14.39/9.68 inference(unit_resolution,[status(thm)],[9990, 413, 9987])).
% 14.39/9.68 tff(9992,plain,
% 14.39/9.68 (((~![VarCurr: $i] : ((~v120(VarCurr)) | ![B: $i] : ((~less_3(B)) | (v130(VarCurr, B) <=> b010(B))))) | ((~v120(constB57)) | ![B: $i] : ((~less_3(B)) | (v130(constB57, B) <=> b010(B))))) <=> ((~![VarCurr: $i] : ((~v120(VarCurr)) | ![B: $i] : ((~less_3(B)) | (v130(VarCurr, B) <=> b010(B))))) | (~v120(constB57)) | ![B: $i] : ((~less_3(B)) | (v130(constB57, B) <=> b010(B))))),
% 14.39/9.68 inference(rewrite,[status(thm)],[])).
% 14.39/9.68 tff(9993,plain,
% 14.39/9.68 ((~![VarCurr: $i] : ((~v120(VarCurr)) | ![B: $i] : ((~less_3(B)) | (v130(VarCurr, B) <=> b010(B))))) | ((~v120(constB57)) | ![B: $i] : ((~less_3(B)) | (v130(constB57, B) <=> b010(B))))),
% 14.39/9.68 inference(quant_inst,[status(thm)],[])).
% 14.39/9.68 tff(9994,plain,
% 14.39/9.68 ((~![VarCurr: $i] : ((~v120(VarCurr)) | ![B: $i] : ((~less_3(B)) | (v130(VarCurr, B) <=> b010(B))))) | (~v120(constB57)) | ![B: $i] : ((~less_3(B)) | (v130(constB57, B) <=> b010(B)))),
% 14.39/9.68 inference(modus_ponens,[status(thm)],[9993, 9992])).
% 14.39/9.68 tff(9995,plain,
% 14.39/9.68 ((~v120(constB57)) | ![B: $i] : ((~less_3(B)) | (v130(constB57, B) <=> b010(B)))),
% 14.39/9.68 inference(unit_resolution,[status(thm)],[9994, 5797])).
% 14.39/9.68 tff(9996,plain,
% 14.39/9.68 (![B: $i] : ((~less_3(B)) | (v130(constB57, B) <=> b010(B)))),
% 14.39/9.68 inference(unit_resolution,[status(thm)],[9995, 9915])).
% 14.39/9.68 tff(9997,plain,
% 14.39/9.68 (((~![B: $i] : ((~less_3(B)) | (v130(constB57, B) <=> b010(B)))) | ((~less_3(bitIndex2)) | (v130(constB57, bitIndex2) <=> b010(bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v130(constB57, B) <=> b010(B)))) | (~less_3(bitIndex2)) | (v130(constB57, bitIndex2) <=> b010(bitIndex2)))),
% 14.39/9.68 inference(rewrite,[status(thm)],[])).
% 14.39/9.68 tff(9998,plain,
% 14.39/9.68 ((~![B: $i] : ((~less_3(B)) | (v130(constB57, B) <=> b010(B)))) | ((~less_3(bitIndex2)) | (v130(constB57, bitIndex2) <=> b010(bitIndex2)))),
% 14.39/9.68 inference(quant_inst,[status(thm)],[])).
% 14.39/9.68 tff(9999,plain,
% 14.39/9.68 ((~![B: $i] : ((~less_3(B)) | (v130(constB57, B) <=> b010(B)))) | (~less_3(bitIndex2)) | (v130(constB57, bitIndex2) <=> b010(bitIndex2))),
% 14.39/9.68 inference(modus_ponens,[status(thm)],[9998, 9997])).
% 14.39/9.68 tff(10000,plain,
% 14.39/9.68 (v130(constB57, bitIndex2) <=> b010(bitIndex2)),
% 14.39/9.68 inference(unit_resolution,[status(thm)],[9999, 413, 9996])).
% 14.39/9.68 tff(10001,plain,
% 14.39/9.68 ((~(v130(constB57, bitIndex2) <=> b010(bitIndex2))) | (~v130(constB57, bitIndex2)) | b010(bitIndex2)),
% 14.39/9.68 inference(tautology,[status(thm)],[])).
% 14.39/9.68 tff(10002,plain,
% 14.39/9.68 ((~(v130(constB57, bitIndex2) <=> b010(bitIndex2))) | (~v130(constB57, bitIndex2))),
% 14.39/9.68 inference(unit_resolution,[status(thm)],[10001, 5809])).
% 14.39/9.68 tff(10003,plain,
% 14.39/9.68 (~v130(constB57, bitIndex2)),
% 14.39/9.68 inference(unit_resolution,[status(thm)],[10002, 10000])).
% 14.39/9.68 tff(10004,plain,
% 14.39/9.68 ((~(v127(constB57, bitIndex2) <=> v130(constB57, bitIndex2))) | (~v127(constB57, bitIndex2)) | v130(constB57, bitIndex2)),
% 14.39/9.68 inference(tautology,[status(thm)],[])).
% 14.39/9.68 tff(10005,plain,
% 14.39/9.68 (~v127(constB57, bitIndex2)),
% 14.39/9.68 inference(unit_resolution,[status(thm)],[10004, 10003, 9991])).
% 14.39/9.68 tff(10006,plain,
% 14.39/9.68 ((~(v129(constB58, bitIndex2) <=> v127(constB57, bitIndex2))) | (~v129(constB58, bitIndex2)) | v127(constB57, bitIndex2)),
% 14.39/9.68 inference(tautology,[status(thm)],[])).
% 14.39/9.68 tff(10007,plain,
% 14.39/9.68 (~v129(constB58, bitIndex2)),
% 14.39/9.68 inference(unit_resolution,[status(thm)],[10006, 10005, 9983])).
% 14.39/9.68 tff(10008,plain,
% 14.39/9.68 ((~(v90(constB58, bitIndex2) <=> v129(constB58, bitIndex2))) | (~v90(constB58, bitIndex2)) | v129(constB58, bitIndex2)),
% 14.39/9.68 inference(tautology,[status(thm)],[])).
% 14.39/9.68 tff(10009,plain,
% 14.39/9.68 (~v90(constB58, bitIndex2)),
% 14.39/9.68 inference(unit_resolution,[status(thm)],[10008, 10007, 9975])).
% 14.39/9.68 tff(10010,plain,
% 14.39/9.68 ((~(v90(constB59, bitIndex2) <=> v90(constB58, bitIndex2))) | (~v90(constB59, bitIndex2)) | v90(constB58, bitIndex2)),
% 14.39/9.68 inference(tautology,[status(thm)],[])).
% 14.39/9.68 tff(10011,plain,
% 14.39/9.68 (~v90(constB59, bitIndex2)),
% 14.39/9.68 inference(unit_resolution,[status(thm)],[10010, 10009, 2310])).
% 14.39/9.68 tff(10012,plain,
% 14.39/9.68 (((~![B: $i] : ((~less_3(B)) | (v90(constB59, B) <=> v90(constB58, B)))) | ((~less_3(bitIndex0)) | (v90(constB59, bitIndex0) <=> v90(constB58, bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v90(constB59, B) <=> v90(constB58, B)))) | (~less_3(bitIndex0)) | (v90(constB59, bitIndex0) <=> v90(constB58, bitIndex0)))),
% 14.39/9.68 inference(rewrite,[status(thm)],[])).
% 14.39/9.68 tff(10013,plain,
% 14.39/9.68 ((~![B: $i] : ((~less_3(B)) | (v90(constB59, B) <=> v90(constB58, B)))) | ((~less_3(bitIndex0)) | (v90(constB59, bitIndex0) <=> v90(constB58, bitIndex0)))),
% 14.39/9.68 inference(quant_inst,[status(thm)],[])).
% 14.39/9.68 tff(10014,plain,
% 14.39/9.68 ((~![B: $i] : ((~less_3(B)) | (v90(constB59, B) <=> v90(constB58, B)))) | (~less_3(bitIndex0)) | (v90(constB59, bitIndex0) <=> v90(constB58, bitIndex0))),
% 14.39/9.68 inference(modus_ponens,[status(thm)],[10013, 10012])).
% 14.39/9.68 tff(10015,plain,
% 14.39/9.68 (v90(constB59, bitIndex0) <=> v90(constB58, bitIndex0)),
% 14.39/9.68 inference(unit_resolution,[status(thm)],[10014, 5004, 2306])).
% 14.39/9.68 tff(10016,plain,
% 14.39/9.68 (((~![B: $i] : ((~less_3(B)) | (v90(constB58, B) <=> v129(constB58, B)))) | ((~less_3(bitIndex0)) | (v90(constB58, bitIndex0) <=> v129(constB58, bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v90(constB58, B) <=> v129(constB58, B)))) | (~less_3(bitIndex0)) | (v90(constB58, bitIndex0) <=> v129(constB58, bitIndex0)))),
% 14.39/9.68 inference(rewrite,[status(thm)],[])).
% 14.39/9.68 tff(10017,plain,
% 14.39/9.68 ((~![B: $i] : ((~less_3(B)) | (v90(constB58, B) <=> v129(constB58, B)))) | ((~less_3(bitIndex0)) | (v90(constB58, bitIndex0) <=> v129(constB58, bitIndex0)))),
% 14.39/9.68 inference(quant_inst,[status(thm)],[])).
% 14.39/9.68 tff(10018,plain,
% 14.39/9.68 ((~![B: $i] : ((~less_3(B)) | (v90(constB58, B) <=> v129(constB58, B)))) | (~less_3(bitIndex0)) | (v90(constB58, bitIndex0) <=> v129(constB58, bitIndex0))),
% 14.39/9.68 inference(modus_ponens,[status(thm)],[10017, 10016])).
% 14.39/9.68 tff(10019,plain,
% 14.39/9.68 (v90(constB58, bitIndex0) <=> v129(constB58, bitIndex0)),
% 14.39/9.68 inference(unit_resolution,[status(thm)],[10018, 5004, 9971])).
% 14.39/9.68 tff(10020,plain,
% 14.39/9.68 (((~![B: $i] : ((~less_3(B)) | (v129(constB58, B) <=> v127(constB57, B)))) | ((~less_3(bitIndex0)) | (v129(constB58, bitIndex0) <=> v127(constB57, bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v129(constB58, B) <=> v127(constB57, B)))) | (~less_3(bitIndex0)) | (v129(constB58, bitIndex0) <=> v127(constB57, bitIndex0)))),
% 14.39/9.68 inference(rewrite,[status(thm)],[])).
% 14.39/9.69 tff(10021,plain,
% 14.39/9.69 ((~![B: $i] : ((~less_3(B)) | (v129(constB58, B) <=> v127(constB57, B)))) | ((~less_3(bitIndex0)) | (v129(constB58, bitIndex0) <=> v127(constB57, bitIndex0)))),
% 14.39/9.69 inference(quant_inst,[status(thm)],[])).
% 14.39/9.69 tff(10022,plain,
% 14.39/9.69 ((~![B: $i] : ((~less_3(B)) | (v129(constB58, B) <=> v127(constB57, B)))) | (~less_3(bitIndex0)) | (v129(constB58, bitIndex0) <=> v127(constB57, bitIndex0))),
% 14.39/9.69 inference(modus_ponens,[status(thm)],[10021, 10020])).
% 14.39/9.69 tff(10023,plain,
% 14.39/9.69 (v129(constB58, bitIndex0) <=> v127(constB57, bitIndex0)),
% 14.39/9.69 inference(unit_resolution,[status(thm)],[10022, 5004, 9979])).
% 14.39/9.69 tff(10024,plain,
% 14.39/9.69 (((~![B: $i] : ((~less_3(B)) | (v127(constB57, B) <=> v130(constB57, B)))) | ((~less_3(bitIndex0)) | (v127(constB57, bitIndex0) <=> v130(constB57, bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v127(constB57, B) <=> v130(constB57, B)))) | (~less_3(bitIndex0)) | (v127(constB57, bitIndex0) <=> v130(constB57, bitIndex0)))),
% 14.39/9.69 inference(rewrite,[status(thm)],[])).
% 14.39/9.69 tff(10025,plain,
% 14.39/9.69 ((~![B: $i] : ((~less_3(B)) | (v127(constB57, B) <=> v130(constB57, B)))) | ((~less_3(bitIndex0)) | (v127(constB57, bitIndex0) <=> v130(constB57, bitIndex0)))),
% 14.39/9.69 inference(quant_inst,[status(thm)],[])).
% 14.39/9.69 tff(10026,plain,
% 14.39/9.69 ((~![B: $i] : ((~less_3(B)) | (v127(constB57, B) <=> v130(constB57, B)))) | (~less_3(bitIndex0)) | (v127(constB57, bitIndex0) <=> v130(constB57, bitIndex0))),
% 14.39/9.69 inference(modus_ponens,[status(thm)],[10025, 10024])).
% 14.39/9.69 tff(10027,plain,
% 14.39/9.69 (v127(constB57, bitIndex0) <=> v130(constB57, bitIndex0)),
% 14.39/9.69 inference(unit_resolution,[status(thm)],[10026, 5004, 9987])).
% 14.39/9.69 tff(10028,plain,
% 14.39/9.69 (((~![B: $i] : ((~less_3(B)) | (v130(constB57, B) <=> b010(B)))) | ((~less_3(bitIndex0)) | (v130(constB57, bitIndex0) <=> b010(bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v130(constB57, B) <=> b010(B)))) | (~less_3(bitIndex0)) | (v130(constB57, bitIndex0) <=> b010(bitIndex0)))),
% 14.39/9.69 inference(rewrite,[status(thm)],[])).
% 14.39/9.69 tff(10029,plain,
% 14.39/9.69 ((~![B: $i] : ((~less_3(B)) | (v130(constB57, B) <=> b010(B)))) | ((~less_3(bitIndex0)) | (v130(constB57, bitIndex0) <=> b010(bitIndex0)))),
% 14.39/9.69 inference(quant_inst,[status(thm)],[])).
% 14.39/9.69 tff(10030,plain,
% 14.39/9.69 ((~![B: $i] : ((~less_3(B)) | (v130(constB57, B) <=> b010(B)))) | (~less_3(bitIndex0)) | (v130(constB57, bitIndex0) <=> b010(bitIndex0))),
% 14.39/9.69 inference(modus_ponens,[status(thm)],[10029, 10028])).
% 14.39/9.69 tff(10031,plain,
% 14.39/9.69 (v130(constB57, bitIndex0) <=> b010(bitIndex0)),
% 14.39/9.69 inference(unit_resolution,[status(thm)],[10030, 5004, 9996])).
% 14.39/9.69 tff(10032,plain,
% 14.39/9.69 ((~(v130(constB57, bitIndex0) <=> b010(bitIndex0))) | (~v130(constB57, bitIndex0)) | b010(bitIndex0)),
% 14.39/9.69 inference(tautology,[status(thm)],[])).
% 14.39/9.69 tff(10033,plain,
% 14.39/9.69 ((~(v130(constB57, bitIndex0) <=> b010(bitIndex0))) | (~v130(constB57, bitIndex0))),
% 14.39/9.69 inference(unit_resolution,[status(thm)],[10032, 5843])).
% 14.39/9.69 tff(10034,plain,
% 14.39/9.69 (~v130(constB57, bitIndex0)),
% 14.39/9.69 inference(unit_resolution,[status(thm)],[10033, 10031])).
% 14.39/9.69 tff(10035,plain,
% 14.39/9.69 ((~(v127(constB57, bitIndex0) <=> v130(constB57, bitIndex0))) | (~v127(constB57, bitIndex0)) | v130(constB57, bitIndex0)),
% 14.39/9.69 inference(tautology,[status(thm)],[])).
% 14.39/9.69 tff(10036,plain,
% 14.39/9.69 (~v127(constB57, bitIndex0)),
% 14.39/9.69 inference(unit_resolution,[status(thm)],[10035, 10034, 10027])).
% 14.39/9.69 tff(10037,plain,
% 14.39/9.69 ((~(v129(constB58, bitIndex0) <=> v127(constB57, bitIndex0))) | (~v129(constB58, bitIndex0)) | v127(constB57, bitIndex0)),
% 14.39/9.69 inference(tautology,[status(thm)],[])).
% 14.39/9.69 tff(10038,plain,
% 14.39/9.69 (~v129(constB58, bitIndex0)),
% 14.39/9.69 inference(unit_resolution,[status(thm)],[10037, 10036, 10023])).
% 14.39/9.69 tff(10039,plain,
% 14.39/9.69 ((~(v90(constB58, bitIndex0) <=> v129(constB58, bitIndex0))) | (~v90(constB58, bitIndex0)) | v129(constB58, bitIndex0)),
% 14.39/9.69 inference(tautology,[status(thm)],[])).
% 14.39/9.69 tff(10040,plain,
% 14.39/9.69 (~v90(constB58, bitIndex0)),
% 14.39/9.69 inference(unit_resolution,[status(thm)],[10039, 10038, 10019])).
% 14.39/9.69 tff(10041,plain,
% 14.39/9.69 ((~(v90(constB59, bitIndex0) <=> v90(constB58, bitIndex0))) | (~v90(constB59, bitIndex0)) | v90(constB58, bitIndex0)),
% 14.39/9.69 inference(tautology,[status(thm)],[])).
% 14.39/9.69 tff(10042,plain,
% 14.39/9.69 (~v90(constB59, bitIndex0)),
% 14.39/9.69 inference(unit_resolution,[status(thm)],[10041, 10040, 10015])).
% 14.39/9.69 tff(10043,plain,
% 14.39/9.69 (((~![B: $i] : ((~less_3(B)) | (v90(constB59, B) <=> v90(constB58, B)))) | ((~less_3(bitIndex1)) | (v90(constB59, bitIndex1) <=> v90(constB58, bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v90(constB59, B) <=> v90(constB58, B)))) | (~less_3(bitIndex1)) | (v90(constB59, bitIndex1) <=> v90(constB58, bitIndex1)))),
% 14.39/9.69 inference(rewrite,[status(thm)],[])).
% 14.39/9.69 tff(10044,plain,
% 14.39/9.69 ((~![B: $i] : ((~less_3(B)) | (v90(constB59, B) <=> v90(constB58, B)))) | ((~less_3(bitIndex1)) | (v90(constB59, bitIndex1) <=> v90(constB58, bitIndex1)))),
% 14.39/9.69 inference(quant_inst,[status(thm)],[])).
% 14.39/9.69 tff(10045,plain,
% 14.39/9.69 ((~![B: $i] : ((~less_3(B)) | (v90(constB59, B) <=> v90(constB58, B)))) | (~less_3(bitIndex1)) | (v90(constB59, bitIndex1) <=> v90(constB58, bitIndex1))),
% 14.39/9.69 inference(modus_ponens,[status(thm)],[10044, 10043])).
% 14.39/9.69 tff(10046,plain,
% 14.39/9.69 (v90(constB59, bitIndex1) <=> v90(constB58, bitIndex1)),
% 14.39/9.69 inference(unit_resolution,[status(thm)],[10045, 5017, 2306])).
% 14.39/9.69 tff(10047,plain,
% 14.39/9.69 (((~![B: $i] : ((~less_3(B)) | (v90(constB58, B) <=> v129(constB58, B)))) | ((~less_3(bitIndex1)) | (v90(constB58, bitIndex1) <=> v129(constB58, bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v90(constB58, B) <=> v129(constB58, B)))) | (~less_3(bitIndex1)) | (v90(constB58, bitIndex1) <=> v129(constB58, bitIndex1)))),
% 14.39/9.69 inference(rewrite,[status(thm)],[])).
% 14.39/9.69 tff(10048,plain,
% 14.39/9.69 ((~![B: $i] : ((~less_3(B)) | (v90(constB58, B) <=> v129(constB58, B)))) | ((~less_3(bitIndex1)) | (v90(constB58, bitIndex1) <=> v129(constB58, bitIndex1)))),
% 14.39/9.69 inference(quant_inst,[status(thm)],[])).
% 14.39/9.69 tff(10049,plain,
% 14.39/9.69 ((~![B: $i] : ((~less_3(B)) | (v90(constB58, B) <=> v129(constB58, B)))) | (~less_3(bitIndex1)) | (v90(constB58, bitIndex1) <=> v129(constB58, bitIndex1))),
% 14.39/9.69 inference(modus_ponens,[status(thm)],[10048, 10047])).
% 14.39/9.69 tff(10050,plain,
% 14.39/9.69 (v90(constB58, bitIndex1) <=> v129(constB58, bitIndex1)),
% 14.39/9.69 inference(unit_resolution,[status(thm)],[10049, 5017, 9971])).
% 14.39/9.69 tff(10051,plain,
% 14.39/9.69 (((~![B: $i] : ((~less_3(B)) | (v129(constB58, B) <=> v127(constB57, B)))) | ((~less_3(bitIndex1)) | (v129(constB58, bitIndex1) <=> v127(constB57, bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v129(constB58, B) <=> v127(constB57, B)))) | (~less_3(bitIndex1)) | (v129(constB58, bitIndex1) <=> v127(constB57, bitIndex1)))),
% 14.39/9.69 inference(rewrite,[status(thm)],[])).
% 14.39/9.69 tff(10052,plain,
% 14.39/9.69 ((~![B: $i] : ((~less_3(B)) | (v129(constB58, B) <=> v127(constB57, B)))) | ((~less_3(bitIndex1)) | (v129(constB58, bitIndex1) <=> v127(constB57, bitIndex1)))),
% 14.39/9.69 inference(quant_inst,[status(thm)],[])).
% 14.39/9.69 tff(10053,plain,
% 14.39/9.69 ((~![B: $i] : ((~less_3(B)) | (v129(constB58, B) <=> v127(constB57, B)))) | (~less_3(bitIndex1)) | (v129(constB58, bitIndex1) <=> v127(constB57, bitIndex1))),
% 14.39/9.69 inference(modus_ponens,[status(thm)],[10052, 10051])).
% 14.39/9.69 tff(10054,plain,
% 14.39/9.69 (v129(constB58, bitIndex1) <=> v127(constB57, bitIndex1)),
% 14.39/9.69 inference(unit_resolution,[status(thm)],[10053, 5017, 9979])).
% 14.39/9.69 tff(10055,plain,
% 14.39/9.69 (((~![B: $i] : ((~less_3(B)) | (v127(constB57, B) <=> v130(constB57, B)))) | ((~less_3(bitIndex1)) | (v127(constB57, bitIndex1) <=> v130(constB57, bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v127(constB57, B) <=> v130(constB57, B)))) | (~less_3(bitIndex1)) | (v127(constB57, bitIndex1) <=> v130(constB57, bitIndex1)))),
% 14.39/9.69 inference(rewrite,[status(thm)],[])).
% 14.39/9.69 tff(10056,plain,
% 14.39/9.69 ((~![B: $i] : ((~less_3(B)) | (v127(constB57, B) <=> v130(constB57, B)))) | ((~less_3(bitIndex1)) | (v127(constB57, bitIndex1) <=> v130(constB57, bitIndex1)))),
% 14.39/9.69 inference(quant_inst,[status(thm)],[])).
% 14.39/9.69 tff(10057,plain,
% 14.39/9.69 ((~![B: $i] : ((~less_3(B)) | (v127(constB57, B) <=> v130(constB57, B)))) | (~less_3(bitIndex1)) | (v127(constB57, bitIndex1) <=> v130(constB57, bitIndex1))),
% 14.39/9.69 inference(modus_ponens,[status(thm)],[10056, 10055])).
% 14.39/9.69 tff(10058,plain,
% 14.39/9.69 (v127(constB57, bitIndex1) <=> v130(constB57, bitIndex1)),
% 14.39/9.69 inference(unit_resolution,[status(thm)],[10057, 5017, 9987])).
% 14.39/9.69 tff(10059,plain,
% 14.39/9.69 (((~![B: $i] : ((~less_3(B)) | (v130(constB57, B) <=> b010(B)))) | ((~less_3(bitIndex1)) | (v130(constB57, bitIndex1) <=> b010(bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v130(constB57, B) <=> b010(B)))) | (~less_3(bitIndex1)) | (v130(constB57, bitIndex1) <=> b010(bitIndex1)))),
% 14.39/9.69 inference(rewrite,[status(thm)],[])).
% 14.39/9.69 tff(10060,plain,
% 14.39/9.69 ((~![B: $i] : ((~less_3(B)) | (v130(constB57, B) <=> b010(B)))) | ((~less_3(bitIndex1)) | (v130(constB57, bitIndex1) <=> b010(bitIndex1)))),
% 14.39/9.69 inference(quant_inst,[status(thm)],[])).
% 14.39/9.69 tff(10061,plain,
% 14.39/9.69 ((~![B: $i] : ((~less_3(B)) | (v130(constB57, B) <=> b010(B)))) | (~less_3(bitIndex1)) | (v130(constB57, bitIndex1) <=> b010(bitIndex1))),
% 14.39/9.69 inference(modus_ponens,[status(thm)],[10060, 10059])).
% 14.39/9.69 tff(10062,plain,
% 14.39/9.69 (v130(constB57, bitIndex1) <=> b010(bitIndex1)),
% 14.39/9.69 inference(unit_resolution,[status(thm)],[10061, 5017, 9996])).
% 14.39/9.69 tff(10063,plain,
% 14.39/9.69 ((~(v130(constB57, bitIndex1) <=> b010(bitIndex1))) | v130(constB57, bitIndex1) | (~b010(bitIndex1))),
% 14.39/9.69 inference(tautology,[status(thm)],[])).
% 14.39/9.69 tff(10064,plain,
% 14.39/9.69 ((~(v130(constB57, bitIndex1) <=> b010(bitIndex1))) | v130(constB57, bitIndex1)),
% 14.39/9.69 inference(unit_resolution,[status(thm)],[10063, 5877])).
% 14.39/9.69 tff(10065,plain,
% 14.39/9.69 (v130(constB57, bitIndex1)),
% 14.39/9.69 inference(unit_resolution,[status(thm)],[10064, 10062])).
% 14.39/9.69 tff(10066,plain,
% 14.39/9.69 ((~(v127(constB57, bitIndex1) <=> v130(constB57, bitIndex1))) | v127(constB57, bitIndex1) | (~v130(constB57, bitIndex1))),
% 14.39/9.69 inference(tautology,[status(thm)],[])).
% 14.39/9.69 tff(10067,plain,
% 14.39/9.69 (v127(constB57, bitIndex1)),
% 14.39/9.69 inference(unit_resolution,[status(thm)],[10066, 10065, 10058])).
% 14.39/9.69 tff(10068,plain,
% 14.39/9.69 ((~(v129(constB58, bitIndex1) <=> v127(constB57, bitIndex1))) | v129(constB58, bitIndex1) | (~v127(constB57, bitIndex1))),
% 14.39/9.69 inference(tautology,[status(thm)],[])).
% 14.39/9.69 tff(10069,plain,
% 14.39/9.69 (v129(constB58, bitIndex1)),
% 14.39/9.69 inference(unit_resolution,[status(thm)],[10068, 10067, 10054])).
% 14.39/9.69 tff(10070,plain,
% 14.39/9.69 ((~(v90(constB58, bitIndex1) <=> v129(constB58, bitIndex1))) | v90(constB58, bitIndex1) | (~v129(constB58, bitIndex1))),
% 14.39/9.69 inference(tautology,[status(thm)],[])).
% 14.39/9.69 tff(10071,plain,
% 14.39/9.69 (v90(constB58, bitIndex1)),
% 14.39/9.69 inference(unit_resolution,[status(thm)],[10070, 10069, 10050])).
% 14.39/9.69 tff(10072,plain,
% 14.39/9.69 ((~(v90(constB59, bitIndex1) <=> v90(constB58, bitIndex1))) | v90(constB59, bitIndex1) | (~v90(constB58, bitIndex1))),
% 14.39/9.69 inference(tautology,[status(thm)],[])).
% 14.39/9.69 tff(10073,plain,
% 14.39/9.69 (v90(constB59, bitIndex1)),
% 14.39/9.69 inference(unit_resolution,[status(thm)],[10072, 10071, 10046])).
% 14.39/9.69 tff(10074,plain,
% 14.39/9.69 ((~(v90(constB59, bitIndex2) | (~v90(constB59, bitIndex1)) | v90(constB59, bitIndex0))) | v90(constB59, bitIndex2) | (~v90(constB59, bitIndex1)) | v90(constB59, bitIndex0)),
% 14.39/9.69 inference(tautology,[status(thm)],[])).
% 14.39/9.69 tff(10075,plain,
% 14.39/9.69 (~(v90(constB59, bitIndex2) | (~v90(constB59, bitIndex1)) | v90(constB59, bitIndex0))),
% 14.39/9.69 inference(unit_resolution,[status(thm)],[10074, 10073, 10042, 10011])).
% 14.39/9.69 tff(10076,plain,
% 14.39/9.69 ((~(v121(constB59) <=> (~(v90(constB59, bitIndex2) | (~v90(constB59, bitIndex1)) | v90(constB59, bitIndex0))))) | v121(constB59) | (v90(constB59, bitIndex2) | (~v90(constB59, bitIndex1)) | v90(constB59, bitIndex0))),
% 14.39/9.69 inference(tautology,[status(thm)],[])).
% 14.39/9.69 tff(10077,plain,
% 14.39/9.69 (v121(constB59)),
% 14.39/9.69 inference(unit_resolution,[status(thm)],[10076, 10075, 2278])).
% 14.39/9.69 tff(10078,plain,
% 14.39/9.69 ((v118(constB59) | v121(constB59)) | (~v121(constB59))),
% 14.39/9.69 inference(tautology,[status(thm)],[])).
% 14.39/9.69 tff(10079,plain,
% 14.39/9.69 (v118(constB59) | v121(constB59)),
% 14.39/9.69 inference(unit_resolution,[status(thm)],[10078, 10077])).
% 14.39/9.69 tff(10080,plain,
% 14.39/9.69 ((~(v117(constB59) <=> (v118(constB59) | v121(constB59)))) | v117(constB59) | (~(v118(constB59) | v121(constB59)))),
% 14.39/9.69 inference(tautology,[status(thm)],[])).
% 14.39/9.69 tff(10081,plain,
% 14.39/9.69 (v117(constB59)),
% 14.39/9.69 inference(unit_resolution,[status(thm)],[10080, 10079, 2271])).
% 14.39/9.69 tff(10082,plain,
% 14.39/9.69 ((v117(constB59) | v122(constB59)) | (~v117(constB59))),
% 14.39/9.69 inference(tautology,[status(thm)],[])).
% 14.39/9.69 tff(10083,plain,
% 14.39/9.69 (v117(constB59) | v122(constB59)),
% 14.39/9.69 inference(unit_resolution,[status(thm)],[10082, 10081])).
% 14.39/9.69 tff(10084,plain,
% 14.39/9.69 ((~(v116(constB59) <=> (v117(constB59) | v122(constB59)))) | v116(constB59) | (~(v117(constB59) | v122(constB59)))),
% 14.39/9.69 inference(tautology,[status(thm)],[])).
% 14.39/9.69 tff(10085,plain,
% 14.39/9.69 (v116(constB59)),
% 14.39/9.69 inference(unit_resolution,[status(thm)],[10084, 10083, 2269])).
% 14.39/9.69 tff(10086,plain,
% 14.39/9.69 ((v116(constB59) | v123(constB59)) | (~v116(constB59))),
% 14.39/9.69 inference(tautology,[status(thm)],[])).
% 14.39/9.69 tff(10087,plain,
% 14.39/9.69 (v116(constB59) | v123(constB59)),
% 14.39/9.69 inference(unit_resolution,[status(thm)],[10086, 10085])).
% 14.39/9.69 tff(10088,plain,
% 14.39/9.69 ((~(v115(constB59) <=> (v116(constB59) | v123(constB59)))) | v115(constB59) | (~(v116(constB59) | v123(constB59)))),
% 14.39/9.69 inference(tautology,[status(thm)],[])).
% 14.39/9.69 tff(10089,plain,
% 14.39/9.69 (v115(constB59)),
% 14.39/9.69 inference(unit_resolution,[status(thm)],[10088, 10087, 2267])).
% 14.39/9.69 tff(10090,plain,
% 14.39/9.69 ((v115(constB59) | v124(constB59)) | (~v115(constB59))),
% 14.39/9.69 inference(tautology,[status(thm)],[])).
% 14.39/9.69 tff(10091,plain,
% 14.39/9.69 (v115(constB59) | v124(constB59)),
% 14.39/9.69 inference(unit_resolution,[status(thm)],[10090, 10089])).
% 14.39/9.69 tff(10092,plain,
% 14.39/9.69 ((~(v114(constB59) <=> (v115(constB59) | v124(constB59)))) | v114(constB59) | (~(v115(constB59) | v124(constB59)))),
% 14.39/9.69 inference(tautology,[status(thm)],[])).
% 14.39/9.69 tff(10093,plain,
% 14.39/9.69 (v114(constB59)),
% 14.39/9.69 inference(unit_resolution,[status(thm)],[10092, 10091, 2265])).
% 14.39/9.69 tff(10094,plain,
% 14.39/9.69 ((v114(constB59) | v125(constB59)) | (~v114(constB59))),
% 14.39/9.69 inference(tautology,[status(thm)],[])).
% 14.39/9.69 tff(10095,plain,
% 14.39/9.69 (v114(constB59) | v125(constB59)),
% 14.39/9.69 inference(unit_resolution,[status(thm)],[10094, 10093])).
% 14.39/9.69 tff(10096,plain,
% 14.39/9.69 ((~(v113(constB59) <=> (v114(constB59) | v125(constB59)))) | v113(constB59) | (~(v114(constB59) | v125(constB59)))),
% 14.39/9.69 inference(tautology,[status(thm)],[])).
% 14.39/9.69 tff(10097,plain,
% 14.39/9.69 (v113(constB59)),
% 14.39/9.69 inference(unit_resolution,[status(thm)],[10096, 10095, 2263])).
% 14.39/9.69 tff(10098,plain,
% 14.39/9.69 ((~![VarCurr: $i] : ((~v126(VarCurr)) <=> v111(VarCurr))) | ((~v126(constB59)) <=> v111(constB59))),
% 14.39/9.69 inference(quant_inst,[status(thm)],[])).
% 14.39/9.69 tff(10099,plain,
% 14.39/9.69 ((~v126(constB59)) <=> v111(constB59)),
% 14.39/9.69 inference(unit_resolution,[status(thm)],[10098, 5074])).
% 14.39/9.69 tff(10100,plain,
% 14.39/9.69 ((~![VarCurr: $i] : (v111(VarCurr) <=> v26(VarCurr))) | (v111(constB59) <=> v26(constB59))),
% 14.39/9.69 inference(quant_inst,[status(thm)],[])).
% 14.39/9.69 tff(10101,plain,
% 14.39/9.69 (v111(constB59) <=> v26(constB59)),
% 14.39/9.69 inference(unit_resolution,[status(thm)],[10100, 5086])).
% 14.39/9.69 tff(10102,plain,
% 14.39/9.69 ((~![VarCurr: $i] : (~v26(VarCurr))) | (~v26(constB59))),
% 14.39/9.69 inference(quant_inst,[status(thm)],[])).
% 14.39/9.69 tff(10103,plain,
% 14.39/9.69 (~v26(constB59)),
% 14.39/9.69 inference(unit_resolution,[status(thm)],[10102, 5098])).
% 14.39/9.69 tff(10104,plain,
% 14.39/9.69 ((~(v111(constB59) <=> v26(constB59))) | (~v111(constB59)) | v26(constB59)),
% 14.39/9.69 inference(tautology,[status(thm)],[])).
% 14.39/9.69 tff(10105,plain,
% 14.39/9.69 ((~(v111(constB59) <=> v26(constB59))) | (~v111(constB59))),
% 14.39/9.69 inference(unit_resolution,[status(thm)],[10104, 10103])).
% 14.39/9.69 tff(10106,plain,
% 14.39/9.69 (~v111(constB59)),
% 14.39/9.69 inference(unit_resolution,[status(thm)],[10105, 10101])).
% 14.39/9.69 tff(10107,plain,
% 14.39/9.69 ((~((~v126(constB59)) <=> v111(constB59))) | v126(constB59) | v111(constB59)),
% 14.39/9.69 inference(tautology,[status(thm)],[])).
% 14.39/9.69 tff(10108,plain,
% 14.39/9.69 ((~((~v126(constB59)) <=> v111(constB59))) | v126(constB59)),
% 14.39/9.69 inference(unit_resolution,[status(thm)],[10107, 10106])).
% 14.39/9.69 tff(10109,plain,
% 14.39/9.69 (v126(constB59)),
% 14.39/9.69 inference(unit_resolution,[status(thm)],[10108, 10099])).
% 14.39/9.69 tff(10110,plain,
% 14.39/9.69 ((~((~v113(constB59)) | (~v126(constB59)))) | (~v113(constB59)) | (~v126(constB59))),
% 14.39/9.69 inference(tautology,[status(thm)],[])).
% 14.39/9.69 tff(10111,plain,
% 14.39/9.69 ((~((~v113(constB59)) | (~v126(constB59)))) | (~v113(constB59))),
% 14.39/9.69 inference(unit_resolution,[status(thm)],[10110, 10109])).
% 14.39/9.69 tff(10112,plain,
% 14.39/9.69 (~((~v113(constB59)) | (~v126(constB59)))),
% 14.39/9.69 inference(unit_resolution,[status(thm)],[10111, 10097])).
% 14.39/9.69 tff(10113,plain,
% 14.39/9.69 ((~(v112(constB59) <=> (~((~v113(constB59)) | (~v126(constB59)))))) | v112(constB59) | ((~v113(constB59)) | (~v126(constB59)))),
% 14.39/9.69 inference(tautology,[status(thm)],[])).
% 14.39/9.69 tff(10114,plain,
% 14.39/9.69 (v112(constB59)),
% 14.39/9.69 inference(unit_resolution,[status(thm)],[10113, 10112, 2261])).
% 14.39/9.69 tff(10115,plain,
% 14.39/9.69 ((v111(constB59) | v112(constB59)) | (~v112(constB59))),
% 14.39/9.69 inference(tautology,[status(thm)],[])).
% 14.39/9.69 tff(10116,plain,
% 14.39/9.69 (v111(constB59) | v112(constB59)),
% 14.39/9.69 inference(unit_resolution,[status(thm)],[10115, 10114])).
% 14.39/9.69 tff(10117,plain,
% 14.39/9.69 ((~(v108(constB59) <=> (v111(constB59) | v112(constB59)))) | v108(constB59) | (~(v111(constB59) | v112(constB59)))),
% 14.39/9.69 inference(tautology,[status(thm)],[])).
% 14.39/9.69 tff(10118,plain,
% 14.39/9.69 (v108(constB59)),
% 14.39/9.69 inference(unit_resolution,[status(thm)],[10117, 10116, 2259])).
% 14.39/9.69 tff(10119,plain,
% 14.39/9.69 ((~(v110(constB60) <=> v108(constB59))) | v110(constB60) | (~v108(constB59))),
% 14.39/9.69 inference(tautology,[status(thm)],[])).
% 14.39/9.69 tff(10120,plain,
% 14.39/9.69 (v110(constB60)),
% 14.39/9.69 inference(unit_resolution,[status(thm)],[10119, 10118, 2257])).
% 14.39/9.69 tff(10121,plain,
% 14.39/9.69 ((~((~v101(constB60)) | (~v110(constB60)))) | (~v101(constB60)) | (~v110(constB60))),
% 14.39/9.69 inference(tautology,[status(thm)],[])).
% 14.39/9.69 tff(10122,plain,
% 14.39/9.69 (~((~v101(constB60)) | (~v110(constB60)))),
% 14.39/9.69 inference(unit_resolution,[status(thm)],[10121, 10120, 2253])).
% 14.39/9.69 tff(10123,plain,
% 14.39/9.69 ((~(v100(constB60) <=> (~((~v101(constB60)) | (~v110(constB60)))))) | v100(constB60) | ((~v101(constB60)) | (~v110(constB60)))),
% 14.39/9.69 inference(tautology,[status(thm)],[])).
% 14.39/9.69 tff(10124,plain,
% 14.39/9.69 (v100(constB60)),
% 14.39/9.69 inference(unit_resolution,[status(thm)],[10123, 10122, 2222])).
% 14.39/9.69 tff(10125,plain,
% 14.39/9.69 (((~![VarNext: $i] : ((~v100(VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v129(VarNext, B))))) | ((~v100(constB60)) | ![B: $i] : ((~less_3(B)) | (v90(constB60, B) <=> v129(constB60, B))))) <=> ((~![VarNext: $i] : ((~v100(VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v129(VarNext, B))))) | (~v100(constB60)) | ![B: $i] : ((~less_3(B)) | (v90(constB60, B) <=> v129(constB60, B))))),
% 14.39/9.69 inference(rewrite,[status(thm)],[])).
% 14.39/9.69 tff(10126,plain,
% 14.39/9.69 ((~![VarNext: $i] : ((~v100(VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v129(VarNext, B))))) | ((~v100(constB60)) | ![B: $i] : ((~less_3(B)) | (v90(constB60, B) <=> v129(constB60, B))))),
% 14.39/9.69 inference(quant_inst,[status(thm)],[])).
% 14.39/9.69 tff(10127,plain,
% 14.39/9.69 ((~![VarNext: $i] : ((~v100(VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v129(VarNext, B))))) | (~v100(constB60)) | ![B: $i] : ((~less_3(B)) | (v90(constB60, B) <=> v129(constB60, B)))),
% 14.39/9.69 inference(modus_ponens,[status(thm)],[10126, 10125])).
% 14.39/9.69 tff(10128,plain,
% 14.39/9.69 ((~v100(constB60)) | ![B: $i] : ((~less_3(B)) | (v90(constB60, B) <=> v129(constB60, B)))),
% 14.39/9.69 inference(unit_resolution,[status(thm)],[10127, 5134])).
% 14.39/9.69 tff(10129,plain,
% 14.39/9.69 (![B: $i] : ((~less_3(B)) | (v90(constB60, B) <=> v129(constB60, B)))),
% 14.39/9.69 inference(unit_resolution,[status(thm)],[10128, 10124])).
% 14.39/9.69 tff(10130,plain,
% 14.39/9.69 (((~![B: $i] : ((~less_3(B)) | (v90(constB60, B) <=> v129(constB60, B)))) | ((~less_3(bitIndex2)) | (v90(constB60, bitIndex2) <=> v129(constB60, bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v90(constB60, B) <=> v129(constB60, B)))) | (~less_3(bitIndex2)) | (v90(constB60, bitIndex2) <=> v129(constB60, bitIndex2)))),
% 14.39/9.69 inference(rewrite,[status(thm)],[])).
% 14.39/9.69 tff(10131,plain,
% 14.39/9.69 ((~![B: $i] : ((~less_3(B)) | (v90(constB60, B) <=> v129(constB60, B)))) | ((~less_3(bitIndex2)) | (v90(constB60, bitIndex2) <=> v129(constB60, bitIndex2)))),
% 14.39/9.69 inference(quant_inst,[status(thm)],[])).
% 14.39/9.69 tff(10132,plain,
% 14.39/9.69 ((~![B: $i] : ((~less_3(B)) | (v90(constB60, B) <=> v129(constB60, B)))) | (~less_3(bitIndex2)) | (v90(constB60, bitIndex2) <=> v129(constB60, bitIndex2))),
% 14.39/9.69 inference(modus_ponens,[status(thm)],[10131, 10130])).
% 14.39/9.69 tff(10133,plain,
% 14.39/9.69 (v90(constB60, bitIndex2) <=> v129(constB60, bitIndex2)),
% 14.39/9.69 inference(unit_resolution,[status(thm)],[10132, 413, 10129])).
% 14.39/9.69 tff(10134,plain,
% 14.39/9.69 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v129(VarNext, B) <=> v127(VarCurr, B))))) | ((~nextState(constB59, constB60)) | ![B: $i] : ((~less_3(B)) | (v129(constB60, B) <=> v127(constB59, B))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v129(VarNext, B) <=> v127(VarCurr, B))))) | (~nextState(constB59, constB60)) | ![B: $i] : ((~less_3(B)) | (v129(constB60, B) <=> v127(constB59, B))))),
% 14.49/9.69 inference(rewrite,[status(thm)],[])).
% 14.49/9.69 tff(10135,plain,
% 14.49/9.69 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v129(VarNext, B) <=> v127(VarCurr, B))))) | ((~nextState(constB59, constB60)) | ![B: $i] : ((~less_3(B)) | (v129(constB60, B) <=> v127(constB59, B))))),
% 14.49/9.69 inference(quant_inst,[status(thm)],[])).
% 14.49/9.69 tff(10136,plain,
% 14.49/9.69 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v129(VarNext, B) <=> v127(VarCurr, B))))) | (~nextState(constB59, constB60)) | ![B: $i] : ((~less_3(B)) | (v129(constB60, B) <=> v127(constB59, B)))),
% 14.49/9.69 inference(modus_ponens,[status(thm)],[10135, 10134])).
% 14.49/9.69 tff(10137,plain,
% 14.49/9.69 (![B: $i] : ((~less_3(B)) | (v129(constB60, B) <=> v127(constB59, B)))),
% 14.49/9.69 inference(unit_resolution,[status(thm)],[10136, 2218, 5156])).
% 14.49/9.69 tff(10138,plain,
% 14.49/9.69 (((~![B: $i] : ((~less_3(B)) | (v129(constB60, B) <=> v127(constB59, B)))) | ((~less_3(bitIndex2)) | (v129(constB60, bitIndex2) <=> v127(constB59, bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v129(constB60, B) <=> v127(constB59, B)))) | (~less_3(bitIndex2)) | (v129(constB60, bitIndex2) <=> v127(constB59, bitIndex2)))),
% 14.49/9.69 inference(rewrite,[status(thm)],[])).
% 14.49/9.69 tff(10139,plain,
% 14.49/9.69 ((~![B: $i] : ((~less_3(B)) | (v129(constB60, B) <=> v127(constB59, B)))) | ((~less_3(bitIndex2)) | (v129(constB60, bitIndex2) <=> v127(constB59, bitIndex2)))),
% 14.49/9.69 inference(quant_inst,[status(thm)],[])).
% 14.49/9.69 tff(10140,plain,
% 14.49/9.69 ((~![B: $i] : ((~less_3(B)) | (v129(constB60, B) <=> v127(constB59, B)))) | (~less_3(bitIndex2)) | (v129(constB60, bitIndex2) <=> v127(constB59, bitIndex2))),
% 14.49/9.69 inference(modus_ponens,[status(thm)],[10139, 10138])).
% 14.49/9.69 tff(10141,plain,
% 14.49/9.69 (v129(constB60, bitIndex2) <=> v127(constB59, bitIndex2)),
% 14.49/9.69 inference(unit_resolution,[status(thm)],[10140, 413, 10137])).
% 14.49/9.69 tff(10142,plain,
% 14.49/9.69 (((~![VarCurr: $i] : (v111(VarCurr) | ![B: $i] : ((~less_3(B)) | (v127(VarCurr, B) <=> v130(VarCurr, B))))) | (v111(constB59) | ![B: $i] : ((~less_3(B)) | (v127(constB59, B) <=> v130(constB59, B))))) <=> ((~![VarCurr: $i] : (v111(VarCurr) | ![B: $i] : ((~less_3(B)) | (v127(VarCurr, B) <=> v130(VarCurr, B))))) | v111(constB59) | ![B: $i] : ((~less_3(B)) | (v127(constB59, B) <=> v130(constB59, B))))),
% 14.49/9.69 inference(rewrite,[status(thm)],[])).
% 14.49/9.69 tff(10143,plain,
% 14.49/9.69 ((~![VarCurr: $i] : (v111(VarCurr) | ![B: $i] : ((~less_3(B)) | (v127(VarCurr, B) <=> v130(VarCurr, B))))) | (v111(constB59) | ![B: $i] : ((~less_3(B)) | (v127(constB59, B) <=> v130(constB59, B))))),
% 14.49/9.69 inference(quant_inst,[status(thm)],[])).
% 14.49/9.69 tff(10144,plain,
% 14.49/9.69 ((~![VarCurr: $i] : (v111(VarCurr) | ![B: $i] : ((~less_3(B)) | (v127(VarCurr, B) <=> v130(VarCurr, B))))) | v111(constB59) | ![B: $i] : ((~less_3(B)) | (v127(constB59, B) <=> v130(constB59, B)))),
% 14.49/9.69 inference(modus_ponens,[status(thm)],[10143, 10142])).
% 14.49/9.69 tff(10145,plain,
% 14.49/9.69 (![B: $i] : ((~less_3(B)) | (v127(constB59, B) <=> v130(constB59, B)))),
% 14.49/9.69 inference(unit_resolution,[status(thm)],[10144, 5177, 10106])).
% 14.49/9.69 tff(10146,plain,
% 14.49/9.69 (((~![B: $i] : ((~less_3(B)) | (v127(constB59, B) <=> v130(constB59, B)))) | ((~less_3(bitIndex2)) | (v127(constB59, bitIndex2) <=> v130(constB59, bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v127(constB59, B) <=> v130(constB59, B)))) | (~less_3(bitIndex2)) | (v127(constB59, bitIndex2) <=> v130(constB59, bitIndex2)))),
% 14.49/9.69 inference(rewrite,[status(thm)],[])).
% 14.49/9.69 tff(10147,plain,
% 14.49/9.69 ((~![B: $i] : ((~less_3(B)) | (v127(constB59, B) <=> v130(constB59, B)))) | ((~less_3(bitIndex2)) | (v127(constB59, bitIndex2) <=> v130(constB59, bitIndex2)))),
% 14.49/9.69 inference(quant_inst,[status(thm)],[])).
% 14.49/9.69 tff(10148,plain,
% 14.49/9.69 ((~![B: $i] : ((~less_3(B)) | (v127(constB59, B) <=> v130(constB59, B)))) | (~less_3(bitIndex2)) | (v127(constB59, bitIndex2) <=> v130(constB59, bitIndex2))),
% 14.49/9.69 inference(modus_ponens,[status(thm)],[10147, 10146])).
% 14.49/9.70 tff(10149,plain,
% 14.49/9.70 (v127(constB59, bitIndex2) <=> v130(constB59, bitIndex2)),
% 14.49/9.70 inference(unit_resolution,[status(thm)],[10148, 413, 10145])).
% 14.49/9.70 tff(10150,plain,
% 14.49/9.70 (((~![VarCurr: $i] : ((~v121(VarCurr)) | ![B: $i] : ((~less_3(B)) | (v130(VarCurr, B) <=> b011(B))))) | ((~v121(constB59)) | ![B: $i] : ((~less_3(B)) | (v130(constB59, B) <=> b011(B))))) <=> ((~![VarCurr: $i] : ((~v121(VarCurr)) | ![B: $i] : ((~less_3(B)) | (v130(VarCurr, B) <=> b011(B))))) | (~v121(constB59)) | ![B: $i] : ((~less_3(B)) | (v130(constB59, B) <=> b011(B))))),
% 14.49/9.70 inference(rewrite,[status(thm)],[])).
% 14.49/9.70 tff(10151,plain,
% 14.49/9.70 ((~![VarCurr: $i] : ((~v121(VarCurr)) | ![B: $i] : ((~less_3(B)) | (v130(VarCurr, B) <=> b011(B))))) | ((~v121(constB59)) | ![B: $i] : ((~less_3(B)) | (v130(constB59, B) <=> b011(B))))),
% 14.49/9.70 inference(quant_inst,[status(thm)],[])).
% 14.49/9.70 tff(10152,plain,
% 14.49/9.70 ((~![VarCurr: $i] : ((~v121(VarCurr)) | ![B: $i] : ((~less_3(B)) | (v130(VarCurr, B) <=> b011(B))))) | (~v121(constB59)) | ![B: $i] : ((~less_3(B)) | (v130(constB59, B) <=> b011(B)))),
% 14.49/9.70 inference(modus_ponens,[status(thm)],[10151, 10150])).
% 14.49/9.70 tff(10153,plain,
% 14.49/9.70 ((~v121(constB59)) | ![B: $i] : ((~less_3(B)) | (v130(constB59, B) <=> b011(B)))),
% 14.49/9.70 inference(unit_resolution,[status(thm)],[10152, 5977])).
% 14.49/9.70 tff(10154,plain,
% 14.49/9.70 (![B: $i] : ((~less_3(B)) | (v130(constB59, B) <=> b011(B)))),
% 14.49/9.70 inference(unit_resolution,[status(thm)],[10153, 10077])).
% 14.49/9.70 tff(10155,plain,
% 14.49/9.70 (((~![B: $i] : ((~less_3(B)) | (v130(constB59, B) <=> b011(B)))) | ((~less_3(bitIndex2)) | (v130(constB59, bitIndex2) <=> b011(bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v130(constB59, B) <=> b011(B)))) | (~less_3(bitIndex2)) | (v130(constB59, bitIndex2) <=> b011(bitIndex2)))),
% 14.49/9.70 inference(rewrite,[status(thm)],[])).
% 14.49/9.70 tff(10156,plain,
% 14.49/9.70 ((~![B: $i] : ((~less_3(B)) | (v130(constB59, B) <=> b011(B)))) | ((~less_3(bitIndex2)) | (v130(constB59, bitIndex2) <=> b011(bitIndex2)))),
% 14.49/9.70 inference(quant_inst,[status(thm)],[])).
% 14.49/9.70 tff(10157,plain,
% 14.49/9.70 ((~![B: $i] : ((~less_3(B)) | (v130(constB59, B) <=> b011(B)))) | (~less_3(bitIndex2)) | (v130(constB59, bitIndex2) <=> b011(bitIndex2))),
% 14.49/9.70 inference(modus_ponens,[status(thm)],[10156, 10155])).
% 14.49/9.70 tff(10158,plain,
% 14.49/9.70 (v130(constB59, bitIndex2) <=> b011(bitIndex2)),
% 14.49/9.70 inference(unit_resolution,[status(thm)],[10157, 413, 10154])).
% 14.49/9.70 tff(10159,plain,
% 14.49/9.70 ((~(v130(constB59, bitIndex2) <=> b011(bitIndex2))) | (~v130(constB59, bitIndex2)) | b011(bitIndex2)),
% 14.49/9.70 inference(tautology,[status(thm)],[])).
% 14.49/9.70 tff(10160,plain,
% 14.49/9.70 ((~(v130(constB59, bitIndex2) <=> b011(bitIndex2))) | (~v130(constB59, bitIndex2))),
% 14.49/9.70 inference(unit_resolution,[status(thm)],[10159, 5989])).
% 14.49/9.70 tff(10161,plain,
% 14.49/9.70 (~v130(constB59, bitIndex2)),
% 14.49/9.70 inference(unit_resolution,[status(thm)],[10160, 10158])).
% 14.49/9.70 tff(10162,plain,
% 14.49/9.70 ((~(v127(constB59, bitIndex2) <=> v130(constB59, bitIndex2))) | (~v127(constB59, bitIndex2)) | v130(constB59, bitIndex2)),
% 14.49/9.70 inference(tautology,[status(thm)],[])).
% 14.49/9.70 tff(10163,plain,
% 14.49/9.70 (~v127(constB59, bitIndex2)),
% 14.49/9.70 inference(unit_resolution,[status(thm)],[10162, 10161, 10149])).
% 14.49/9.70 tff(10164,plain,
% 14.49/9.70 ((~(v129(constB60, bitIndex2) <=> v127(constB59, bitIndex2))) | (~v129(constB60, bitIndex2)) | v127(constB59, bitIndex2)),
% 14.49/9.70 inference(tautology,[status(thm)],[])).
% 14.49/9.70 tff(10165,plain,
% 14.49/9.70 (~v129(constB60, bitIndex2)),
% 14.49/9.70 inference(unit_resolution,[status(thm)],[10164, 10163, 10141])).
% 14.49/9.70 tff(10166,plain,
% 14.49/9.70 ((~(v90(constB60, bitIndex2) <=> v129(constB60, bitIndex2))) | (~v90(constB60, bitIndex2)) | v129(constB60, bitIndex2)),
% 14.49/9.70 inference(tautology,[status(thm)],[])).
% 14.49/9.70 tff(10167,plain,
% 14.49/9.70 (~v90(constB60, bitIndex2)),
% 14.49/9.70 inference(unit_resolution,[status(thm)],[10166, 10165, 10133])).
% 14.49/9.70 tff(10168,plain,
% 14.49/9.70 ((~(v90(constB61, bitIndex2) <=> v90(constB60, bitIndex2))) | (~v90(constB61, bitIndex2)) | v90(constB60, bitIndex2)),
% 14.49/9.70 inference(tautology,[status(thm)],[])).
% 14.49/9.70 tff(10169,plain,
% 14.49/9.70 (~v90(constB61, bitIndex2)),
% 14.49/9.70 inference(unit_resolution,[status(thm)],[10168, 10167, 2215])).
% 14.49/9.70 tff(10170,plain,
% 14.49/9.70 (((~![B: $i] : ((~less_3(B)) | (v90(constB61, B) <=> v90(constB60, B)))) | ((~less_3(bitIndex0)) | (v90(constB61, bitIndex0) <=> v90(constB60, bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v90(constB61, B) <=> v90(constB60, B)))) | (~less_3(bitIndex0)) | (v90(constB61, bitIndex0) <=> v90(constB60, bitIndex0)))),
% 14.49/9.70 inference(rewrite,[status(thm)],[])).
% 14.49/9.70 tff(10171,plain,
% 14.49/9.70 ((~![B: $i] : ((~less_3(B)) | (v90(constB61, B) <=> v90(constB60, B)))) | ((~less_3(bitIndex0)) | (v90(constB61, bitIndex0) <=> v90(constB60, bitIndex0)))),
% 14.49/9.70 inference(quant_inst,[status(thm)],[])).
% 14.49/9.70 tff(10172,plain,
% 14.49/9.70 ((~![B: $i] : ((~less_3(B)) | (v90(constB61, B) <=> v90(constB60, B)))) | (~less_3(bitIndex0)) | (v90(constB61, bitIndex0) <=> v90(constB60, bitIndex0))),
% 14.49/9.70 inference(modus_ponens,[status(thm)],[10171, 10170])).
% 14.49/9.70 tff(10173,plain,
% 14.49/9.70 (v90(constB61, bitIndex0) <=> v90(constB60, bitIndex0)),
% 14.49/9.70 inference(unit_resolution,[status(thm)],[10172, 5004, 2211])).
% 14.49/9.70 tff(10174,plain,
% 14.49/9.70 (((~![B: $i] : ((~less_3(B)) | (v90(constB60, B) <=> v129(constB60, B)))) | ((~less_3(bitIndex0)) | (v90(constB60, bitIndex0) <=> v129(constB60, bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v90(constB60, B) <=> v129(constB60, B)))) | (~less_3(bitIndex0)) | (v90(constB60, bitIndex0) <=> v129(constB60, bitIndex0)))),
% 14.49/9.70 inference(rewrite,[status(thm)],[])).
% 14.49/9.70 tff(10175,plain,
% 14.49/9.70 ((~![B: $i] : ((~less_3(B)) | (v90(constB60, B) <=> v129(constB60, B)))) | ((~less_3(bitIndex0)) | (v90(constB60, bitIndex0) <=> v129(constB60, bitIndex0)))),
% 14.49/9.70 inference(quant_inst,[status(thm)],[])).
% 14.49/9.70 tff(10176,plain,
% 14.49/9.70 ((~![B: $i] : ((~less_3(B)) | (v90(constB60, B) <=> v129(constB60, B)))) | (~less_3(bitIndex0)) | (v90(constB60, bitIndex0) <=> v129(constB60, bitIndex0))),
% 14.49/9.70 inference(modus_ponens,[status(thm)],[10175, 10174])).
% 14.49/9.70 tff(10177,plain,
% 14.49/9.70 (v90(constB60, bitIndex0) <=> v129(constB60, bitIndex0)),
% 14.49/9.70 inference(unit_resolution,[status(thm)],[10176, 5004, 10129])).
% 14.49/9.70 tff(10178,plain,
% 14.49/9.70 (((~![B: $i] : ((~less_3(B)) | (v129(constB60, B) <=> v127(constB59, B)))) | ((~less_3(bitIndex0)) | (v129(constB60, bitIndex0) <=> v127(constB59, bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v129(constB60, B) <=> v127(constB59, B)))) | (~less_3(bitIndex0)) | (v129(constB60, bitIndex0) <=> v127(constB59, bitIndex0)))),
% 14.49/9.70 inference(rewrite,[status(thm)],[])).
% 14.49/9.70 tff(10179,plain,
% 14.49/9.70 ((~![B: $i] : ((~less_3(B)) | (v129(constB60, B) <=> v127(constB59, B)))) | ((~less_3(bitIndex0)) | (v129(constB60, bitIndex0) <=> v127(constB59, bitIndex0)))),
% 14.49/9.70 inference(quant_inst,[status(thm)],[])).
% 14.49/9.70 tff(10180,plain,
% 14.49/9.70 ((~![B: $i] : ((~less_3(B)) | (v129(constB60, B) <=> v127(constB59, B)))) | (~less_3(bitIndex0)) | (v129(constB60, bitIndex0) <=> v127(constB59, bitIndex0))),
% 14.49/9.70 inference(modus_ponens,[status(thm)],[10179, 10178])).
% 14.49/9.70 tff(10181,plain,
% 14.49/9.70 (v129(constB60, bitIndex0) <=> v127(constB59, bitIndex0)),
% 14.49/9.70 inference(unit_resolution,[status(thm)],[10180, 5004, 10137])).
% 14.49/9.70 tff(10182,plain,
% 14.49/9.70 (((~![B: $i] : ((~less_3(B)) | (v127(constB59, B) <=> v130(constB59, B)))) | ((~less_3(bitIndex0)) | (v127(constB59, bitIndex0) <=> v130(constB59, bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v127(constB59, B) <=> v130(constB59, B)))) | (~less_3(bitIndex0)) | (v127(constB59, bitIndex0) <=> v130(constB59, bitIndex0)))),
% 14.49/9.70 inference(rewrite,[status(thm)],[])).
% 14.49/9.70 tff(10183,plain,
% 14.49/9.70 ((~![B: $i] : ((~less_3(B)) | (v127(constB59, B) <=> v130(constB59, B)))) | ((~less_3(bitIndex0)) | (v127(constB59, bitIndex0) <=> v130(constB59, bitIndex0)))),
% 14.49/9.70 inference(quant_inst,[status(thm)],[])).
% 14.49/9.70 tff(10184,plain,
% 14.49/9.70 ((~![B: $i] : ((~less_3(B)) | (v127(constB59, B) <=> v130(constB59, B)))) | (~less_3(bitIndex0)) | (v127(constB59, bitIndex0) <=> v130(constB59, bitIndex0))),
% 14.49/9.70 inference(modus_ponens,[status(thm)],[10183, 10182])).
% 14.49/9.70 tff(10185,plain,
% 14.49/9.70 (v127(constB59, bitIndex0) <=> v130(constB59, bitIndex0)),
% 14.49/9.70 inference(unit_resolution,[status(thm)],[10184, 5004, 10145])).
% 14.49/9.70 tff(10186,plain,
% 14.49/9.70 (((~![B: $i] : ((~less_3(B)) | (v130(constB59, B) <=> b011(B)))) | ((~less_3(bitIndex0)) | (v130(constB59, bitIndex0) <=> b011(bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v130(constB59, B) <=> b011(B)))) | (~less_3(bitIndex0)) | (v130(constB59, bitIndex0) <=> b011(bitIndex0)))),
% 14.49/9.70 inference(rewrite,[status(thm)],[])).
% 14.49/9.70 tff(10187,plain,
% 14.49/9.70 ((~![B: $i] : ((~less_3(B)) | (v130(constB59, B) <=> b011(B)))) | ((~less_3(bitIndex0)) | (v130(constB59, bitIndex0) <=> b011(bitIndex0)))),
% 14.49/9.70 inference(quant_inst,[status(thm)],[])).
% 14.49/9.70 tff(10188,plain,
% 14.49/9.70 ((~![B: $i] : ((~less_3(B)) | (v130(constB59, B) <=> b011(B)))) | (~less_3(bitIndex0)) | (v130(constB59, bitIndex0) <=> b011(bitIndex0))),
% 14.49/9.70 inference(modus_ponens,[status(thm)],[10187, 10186])).
% 14.49/9.70 tff(10189,plain,
% 14.49/9.70 (v130(constB59, bitIndex0) <=> b011(bitIndex0)),
% 14.49/9.70 inference(unit_resolution,[status(thm)],[10188, 5004, 10154])).
% 14.49/9.70 tff(10190,plain,
% 14.49/9.70 ((~(v130(constB59, bitIndex0) <=> b011(bitIndex0))) | v130(constB59, bitIndex0) | (~b011(bitIndex0))),
% 14.49/9.70 inference(tautology,[status(thm)],[])).
% 14.49/9.70 tff(10191,plain,
% 14.49/9.70 ((~(v130(constB59, bitIndex0) <=> b011(bitIndex0))) | v130(constB59, bitIndex0)),
% 14.49/9.70 inference(unit_resolution,[status(thm)],[10190, 6023])).
% 14.49/9.70 tff(10192,plain,
% 14.49/9.70 (v130(constB59, bitIndex0)),
% 14.49/9.70 inference(unit_resolution,[status(thm)],[10191, 10189])).
% 14.49/9.70 tff(10193,plain,
% 14.49/9.70 ((~(v127(constB59, bitIndex0) <=> v130(constB59, bitIndex0))) | v127(constB59, bitIndex0) | (~v130(constB59, bitIndex0))),
% 14.49/9.70 inference(tautology,[status(thm)],[])).
% 14.49/9.70 tff(10194,plain,
% 14.49/9.70 (v127(constB59, bitIndex0)),
% 14.49/9.70 inference(unit_resolution,[status(thm)],[10193, 10192, 10185])).
% 14.49/9.70 tff(10195,plain,
% 14.49/9.70 ((~(v129(constB60, bitIndex0) <=> v127(constB59, bitIndex0))) | v129(constB60, bitIndex0) | (~v127(constB59, bitIndex0))),
% 14.49/9.70 inference(tautology,[status(thm)],[])).
% 14.49/9.70 tff(10196,plain,
% 14.49/9.70 (v129(constB60, bitIndex0)),
% 14.49/9.70 inference(unit_resolution,[status(thm)],[10195, 10194, 10181])).
% 14.49/9.70 tff(10197,plain,
% 14.49/9.70 ((~(v90(constB60, bitIndex0) <=> v129(constB60, bitIndex0))) | v90(constB60, bitIndex0) | (~v129(constB60, bitIndex0))),
% 14.49/9.70 inference(tautology,[status(thm)],[])).
% 14.49/9.70 tff(10198,plain,
% 14.49/9.70 (v90(constB60, bitIndex0)),
% 14.49/9.70 inference(unit_resolution,[status(thm)],[10197, 10196, 10177])).
% 14.49/9.70 tff(10199,plain,
% 14.49/9.70 ((~(v90(constB61, bitIndex0) <=> v90(constB60, bitIndex0))) | v90(constB61, bitIndex0) | (~v90(constB60, bitIndex0))),
% 14.49/9.70 inference(tautology,[status(thm)],[])).
% 14.49/9.70 tff(10200,plain,
% 14.49/9.70 (v90(constB61, bitIndex0)),
% 14.49/9.70 inference(unit_resolution,[status(thm)],[10199, 10198, 10173])).
% 14.49/9.70 tff(10201,plain,
% 14.49/9.70 (((~![B: $i] : ((~less_3(B)) | (v90(constB61, B) <=> v90(constB60, B)))) | ((~less_3(bitIndex1)) | (v90(constB61, bitIndex1) <=> v90(constB60, bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v90(constB61, B) <=> v90(constB60, B)))) | (~less_3(bitIndex1)) | (v90(constB61, bitIndex1) <=> v90(constB60, bitIndex1)))),
% 14.49/9.70 inference(rewrite,[status(thm)],[])).
% 14.49/9.70 tff(10202,plain,
% 14.49/9.70 ((~![B: $i] : ((~less_3(B)) | (v90(constB61, B) <=> v90(constB60, B)))) | ((~less_3(bitIndex1)) | (v90(constB61, bitIndex1) <=> v90(constB60, bitIndex1)))),
% 14.49/9.70 inference(quant_inst,[status(thm)],[])).
% 14.49/9.70 tff(10203,plain,
% 14.49/9.70 ((~![B: $i] : ((~less_3(B)) | (v90(constB61, B) <=> v90(constB60, B)))) | (~less_3(bitIndex1)) | (v90(constB61, bitIndex1) <=> v90(constB60, bitIndex1))),
% 14.49/9.70 inference(modus_ponens,[status(thm)],[10202, 10201])).
% 14.49/9.70 tff(10204,plain,
% 14.49/9.70 (v90(constB61, bitIndex1) <=> v90(constB60, bitIndex1)),
% 14.49/9.70 inference(unit_resolution,[status(thm)],[10203, 5017, 2211])).
% 14.49/9.70 tff(10205,plain,
% 14.49/9.70 (((~![B: $i] : ((~less_3(B)) | (v90(constB60, B) <=> v129(constB60, B)))) | ((~less_3(bitIndex1)) | (v90(constB60, bitIndex1) <=> v129(constB60, bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v90(constB60, B) <=> v129(constB60, B)))) | (~less_3(bitIndex1)) | (v90(constB60, bitIndex1) <=> v129(constB60, bitIndex1)))),
% 14.49/9.70 inference(rewrite,[status(thm)],[])).
% 14.49/9.70 tff(10206,plain,
% 14.49/9.70 ((~![B: $i] : ((~less_3(B)) | (v90(constB60, B) <=> v129(constB60, B)))) | ((~less_3(bitIndex1)) | (v90(constB60, bitIndex1) <=> v129(constB60, bitIndex1)))),
% 14.49/9.70 inference(quant_inst,[status(thm)],[])).
% 14.49/9.70 tff(10207,plain,
% 14.49/9.70 ((~![B: $i] : ((~less_3(B)) | (v90(constB60, B) <=> v129(constB60, B)))) | (~less_3(bitIndex1)) | (v90(constB60, bitIndex1) <=> v129(constB60, bitIndex1))),
% 14.49/9.71 inference(modus_ponens,[status(thm)],[10206, 10205])).
% 14.49/9.71 tff(10208,plain,
% 14.49/9.71 (v90(constB60, bitIndex1) <=> v129(constB60, bitIndex1)),
% 14.49/9.71 inference(unit_resolution,[status(thm)],[10207, 5017, 10129])).
% 14.49/9.71 tff(10209,plain,
% 14.49/9.71 (((~![B: $i] : ((~less_3(B)) | (v129(constB60, B) <=> v127(constB59, B)))) | ((~less_3(bitIndex1)) | (v129(constB60, bitIndex1) <=> v127(constB59, bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v129(constB60, B) <=> v127(constB59, B)))) | (~less_3(bitIndex1)) | (v129(constB60, bitIndex1) <=> v127(constB59, bitIndex1)))),
% 14.49/9.71 inference(rewrite,[status(thm)],[])).
% 14.49/9.71 tff(10210,plain,
% 14.49/9.71 ((~![B: $i] : ((~less_3(B)) | (v129(constB60, B) <=> v127(constB59, B)))) | ((~less_3(bitIndex1)) | (v129(constB60, bitIndex1) <=> v127(constB59, bitIndex1)))),
% 14.49/9.71 inference(quant_inst,[status(thm)],[])).
% 14.49/9.71 tff(10211,plain,
% 14.49/9.71 ((~![B: $i] : ((~less_3(B)) | (v129(constB60, B) <=> v127(constB59, B)))) | (~less_3(bitIndex1)) | (v129(constB60, bitIndex1) <=> v127(constB59, bitIndex1))),
% 14.49/9.71 inference(modus_ponens,[status(thm)],[10210, 10209])).
% 14.49/9.71 tff(10212,plain,
% 14.49/9.71 (v129(constB60, bitIndex1) <=> v127(constB59, bitIndex1)),
% 14.49/9.71 inference(unit_resolution,[status(thm)],[10211, 5017, 10137])).
% 14.49/9.71 tff(10213,plain,
% 14.49/9.71 (((~![B: $i] : ((~less_3(B)) | (v127(constB59, B) <=> v130(constB59, B)))) | ((~less_3(bitIndex1)) | (v127(constB59, bitIndex1) <=> v130(constB59, bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v127(constB59, B) <=> v130(constB59, B)))) | (~less_3(bitIndex1)) | (v127(constB59, bitIndex1) <=> v130(constB59, bitIndex1)))),
% 14.49/9.71 inference(rewrite,[status(thm)],[])).
% 14.49/9.71 tff(10214,plain,
% 14.49/9.71 ((~![B: $i] : ((~less_3(B)) | (v127(constB59, B) <=> v130(constB59, B)))) | ((~less_3(bitIndex1)) | (v127(constB59, bitIndex1) <=> v130(constB59, bitIndex1)))),
% 14.49/9.71 inference(quant_inst,[status(thm)],[])).
% 14.49/9.71 tff(10215,plain,
% 14.49/9.71 ((~![B: $i] : ((~less_3(B)) | (v127(constB59, B) <=> v130(constB59, B)))) | (~less_3(bitIndex1)) | (v127(constB59, bitIndex1) <=> v130(constB59, bitIndex1))),
% 14.49/9.71 inference(modus_ponens,[status(thm)],[10214, 10213])).
% 14.49/9.71 tff(10216,plain,
% 14.49/9.71 (v127(constB59, bitIndex1) <=> v130(constB59, bitIndex1)),
% 14.49/9.71 inference(unit_resolution,[status(thm)],[10215, 5017, 10145])).
% 14.49/9.71 tff(10217,plain,
% 14.49/9.71 (((~![B: $i] : ((~less_3(B)) | (v130(constB59, B) <=> b011(B)))) | ((~less_3(bitIndex1)) | (v130(constB59, bitIndex1) <=> b011(bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v130(constB59, B) <=> b011(B)))) | (~less_3(bitIndex1)) | (v130(constB59, bitIndex1) <=> b011(bitIndex1)))),
% 14.49/9.71 inference(rewrite,[status(thm)],[])).
% 14.49/9.71 tff(10218,plain,
% 14.49/9.71 ((~![B: $i] : ((~less_3(B)) | (v130(constB59, B) <=> b011(B)))) | ((~less_3(bitIndex1)) | (v130(constB59, bitIndex1) <=> b011(bitIndex1)))),
% 14.49/9.71 inference(quant_inst,[status(thm)],[])).
% 14.49/9.71 tff(10219,plain,
% 14.49/9.71 ((~![B: $i] : ((~less_3(B)) | (v130(constB59, B) <=> b011(B)))) | (~less_3(bitIndex1)) | (v130(constB59, bitIndex1) <=> b011(bitIndex1))),
% 14.49/9.71 inference(modus_ponens,[status(thm)],[10218, 10217])).
% 14.49/9.71 tff(10220,plain,
% 14.49/9.71 (v130(constB59, bitIndex1) <=> b011(bitIndex1)),
% 14.49/9.71 inference(unit_resolution,[status(thm)],[10219, 5017, 10154])).
% 14.49/9.71 tff(10221,plain,
% 14.49/9.71 ((~(v130(constB59, bitIndex1) <=> b011(bitIndex1))) | v130(constB59, bitIndex1) | (~b011(bitIndex1))),
% 14.49/9.71 inference(tautology,[status(thm)],[])).
% 14.49/9.71 tff(10222,plain,
% 14.49/9.71 ((~(v130(constB59, bitIndex1) <=> b011(bitIndex1))) | v130(constB59, bitIndex1)),
% 14.49/9.71 inference(unit_resolution,[status(thm)],[10221, 6057])).
% 14.49/9.71 tff(10223,plain,
% 14.49/9.71 (v130(constB59, bitIndex1)),
% 14.49/9.71 inference(unit_resolution,[status(thm)],[10222, 10220])).
% 14.49/9.71 tff(10224,plain,
% 14.49/9.71 ((~(v127(constB59, bitIndex1) <=> v130(constB59, bitIndex1))) | v127(constB59, bitIndex1) | (~v130(constB59, bitIndex1))),
% 14.49/9.71 inference(tautology,[status(thm)],[])).
% 14.49/9.71 tff(10225,plain,
% 14.49/9.71 (v127(constB59, bitIndex1)),
% 14.49/9.71 inference(unit_resolution,[status(thm)],[10224, 10223, 10216])).
% 14.49/9.71 tff(10226,plain,
% 14.49/9.71 ((~(v129(constB60, bitIndex1) <=> v127(constB59, bitIndex1))) | v129(constB60, bitIndex1) | (~v127(constB59, bitIndex1))),
% 14.49/9.71 inference(tautology,[status(thm)],[])).
% 14.49/9.71 tff(10227,plain,
% 14.49/9.71 (v129(constB60, bitIndex1)),
% 14.49/9.71 inference(unit_resolution,[status(thm)],[10226, 10225, 10212])).
% 14.49/9.71 tff(10228,plain,
% 14.49/9.71 ((~(v90(constB60, bitIndex1) <=> v129(constB60, bitIndex1))) | v90(constB60, bitIndex1) | (~v129(constB60, bitIndex1))),
% 14.49/9.71 inference(tautology,[status(thm)],[])).
% 14.49/9.71 tff(10229,plain,
% 14.49/9.71 (v90(constB60, bitIndex1)),
% 14.49/9.71 inference(unit_resolution,[status(thm)],[10228, 10227, 10208])).
% 14.49/9.71 tff(10230,plain,
% 14.49/9.71 ((~(v90(constB61, bitIndex1) <=> v90(constB60, bitIndex1))) | v90(constB61, bitIndex1) | (~v90(constB60, bitIndex1))),
% 14.49/9.71 inference(tautology,[status(thm)],[])).
% 14.49/9.71 tff(10231,plain,
% 14.49/9.71 (v90(constB61, bitIndex1)),
% 14.49/9.71 inference(unit_resolution,[status(thm)],[10230, 10229, 10204])).
% 14.49/9.71 tff(10232,plain,
% 14.49/9.71 ((~(v90(constB61, bitIndex2) | (~v90(constB61, bitIndex1)) | (~v90(constB61, bitIndex0)))) | v90(constB61, bitIndex2) | (~v90(constB61, bitIndex1)) | (~v90(constB61, bitIndex0))),
% 14.49/9.71 inference(tautology,[status(thm)],[])).
% 14.49/9.71 tff(10233,plain,
% 14.49/9.71 (~(v90(constB61, bitIndex2) | (~v90(constB61, bitIndex1)) | (~v90(constB61, bitIndex0)))),
% 14.49/9.71 inference(unit_resolution,[status(thm)],[10232, 10231, 10200, 10169])).
% 14.49/9.71 tff(10234,plain,
% 14.49/9.71 ((~(v122(constB61) <=> (~(v90(constB61, bitIndex2) | (~v90(constB61, bitIndex1)) | (~v90(constB61, bitIndex0)))))) | v122(constB61) | (v90(constB61, bitIndex2) | (~v90(constB61, bitIndex1)) | (~v90(constB61, bitIndex0)))),
% 14.49/9.71 inference(tautology,[status(thm)],[])).
% 14.49/9.71 tff(10235,plain,
% 14.49/9.71 (v122(constB61)),
% 14.49/9.71 inference(unit_resolution,[status(thm)],[10234, 10233, 2183])).
% 14.49/9.71 tff(10236,plain,
% 14.49/9.71 ((v117(constB61) | v122(constB61)) | (~v122(constB61))),
% 14.49/9.71 inference(tautology,[status(thm)],[])).
% 14.49/9.71 tff(10237,plain,
% 14.49/9.71 (v117(constB61) | v122(constB61)),
% 14.49/9.71 inference(unit_resolution,[status(thm)],[10236, 10235])).
% 14.49/9.71 tff(10238,plain,
% 14.49/9.71 ((~(v116(constB61) <=> (v117(constB61) | v122(constB61)))) | v116(constB61) | (~(v117(constB61) | v122(constB61)))),
% 14.49/9.71 inference(tautology,[status(thm)],[])).
% 14.49/9.71 tff(10239,plain,
% 14.49/9.71 (v116(constB61)),
% 14.49/9.71 inference(unit_resolution,[status(thm)],[10238, 10237, 2176])).
% 14.49/9.71 tff(10240,plain,
% 14.49/9.71 ((v116(constB61) | v123(constB61)) | (~v116(constB61))),
% 14.49/9.71 inference(tautology,[status(thm)],[])).
% 14.49/9.71 tff(10241,plain,
% 14.49/9.71 (v116(constB61) | v123(constB61)),
% 14.49/9.71 inference(unit_resolution,[status(thm)],[10240, 10239])).
% 14.49/9.71 tff(10242,plain,
% 14.49/9.71 ((~(v115(constB61) <=> (v116(constB61) | v123(constB61)))) | v115(constB61) | (~(v116(constB61) | v123(constB61)))),
% 14.49/9.71 inference(tautology,[status(thm)],[])).
% 14.49/9.71 tff(10243,plain,
% 14.49/9.71 (v115(constB61)),
% 14.49/9.71 inference(unit_resolution,[status(thm)],[10242, 10241, 2174])).
% 14.49/9.71 tff(10244,plain,
% 14.49/9.71 ((v115(constB61) | v124(constB61)) | (~v115(constB61))),
% 14.49/9.71 inference(tautology,[status(thm)],[])).
% 14.49/9.71 tff(10245,plain,
% 14.49/9.71 (v115(constB61) | v124(constB61)),
% 14.49/9.71 inference(unit_resolution,[status(thm)],[10244, 10243])).
% 14.49/9.71 tff(10246,plain,
% 14.49/9.71 ((~(v114(constB61) <=> (v115(constB61) | v124(constB61)))) | v114(constB61) | (~(v115(constB61) | v124(constB61)))),
% 14.49/9.71 inference(tautology,[status(thm)],[])).
% 14.49/9.71 tff(10247,plain,
% 14.49/9.71 (v114(constB61)),
% 14.49/9.71 inference(unit_resolution,[status(thm)],[10246, 10245, 2172])).
% 14.49/9.71 tff(10248,plain,
% 14.49/9.71 ((v114(constB61) | v125(constB61)) | (~v114(constB61))),
% 14.49/9.71 inference(tautology,[status(thm)],[])).
% 14.49/9.71 tff(10249,plain,
% 14.49/9.71 (v114(constB61) | v125(constB61)),
% 14.49/9.71 inference(unit_resolution,[status(thm)],[10248, 10247])).
% 14.49/9.71 tff(10250,plain,
% 14.49/9.71 ((~(v113(constB61) <=> (v114(constB61) | v125(constB61)))) | v113(constB61) | (~(v114(constB61) | v125(constB61)))),
% 14.49/9.71 inference(tautology,[status(thm)],[])).
% 14.49/9.71 tff(10251,plain,
% 14.49/9.71 (v113(constB61)),
% 14.49/9.71 inference(unit_resolution,[status(thm)],[10250, 10249, 2170])).
% 14.49/9.71 tff(10252,plain,
% 14.49/9.71 ((~![VarCurr: $i] : ((~v126(VarCurr)) <=> v111(VarCurr))) | ((~v126(constB61)) <=> v111(constB61))),
% 14.49/9.71 inference(quant_inst,[status(thm)],[])).
% 14.49/9.71 tff(10253,plain,
% 14.49/9.71 ((~v126(constB61)) <=> v111(constB61)),
% 14.49/9.71 inference(unit_resolution,[status(thm)],[10252, 5074])).
% 14.49/9.71 tff(10254,plain,
% 14.49/9.71 ((~![VarCurr: $i] : (v111(VarCurr) <=> v26(VarCurr))) | (v111(constB61) <=> v26(constB61))),
% 14.49/9.71 inference(quant_inst,[status(thm)],[])).
% 14.49/9.71 tff(10255,plain,
% 14.49/9.71 (v111(constB61) <=> v26(constB61)),
% 14.49/9.71 inference(unit_resolution,[status(thm)],[10254, 5086])).
% 14.49/9.71 tff(10256,plain,
% 14.49/9.71 ((~![VarCurr: $i] : (~v26(VarCurr))) | (~v26(constB61))),
% 14.49/9.71 inference(quant_inst,[status(thm)],[])).
% 14.49/9.71 tff(10257,plain,
% 14.49/9.71 (~v26(constB61)),
% 14.49/9.71 inference(unit_resolution,[status(thm)],[10256, 5098])).
% 14.49/9.71 tff(10258,plain,
% 14.49/9.71 ((~(v111(constB61) <=> v26(constB61))) | (~v111(constB61)) | v26(constB61)),
% 14.49/9.71 inference(tautology,[status(thm)],[])).
% 14.49/9.71 tff(10259,plain,
% 14.49/9.71 ((~(v111(constB61) <=> v26(constB61))) | (~v111(constB61))),
% 14.49/9.71 inference(unit_resolution,[status(thm)],[10258, 10257])).
% 14.49/9.71 tff(10260,plain,
% 14.49/9.71 (~v111(constB61)),
% 14.49/9.71 inference(unit_resolution,[status(thm)],[10259, 10255])).
% 14.49/9.71 tff(10261,plain,
% 14.49/9.71 ((~((~v126(constB61)) <=> v111(constB61))) | v126(constB61) | v111(constB61)),
% 14.49/9.71 inference(tautology,[status(thm)],[])).
% 14.49/9.71 tff(10262,plain,
% 14.49/9.71 ((~((~v126(constB61)) <=> v111(constB61))) | v126(constB61)),
% 14.49/9.71 inference(unit_resolution,[status(thm)],[10261, 10260])).
% 14.49/9.71 tff(10263,plain,
% 14.49/9.71 (v126(constB61)),
% 14.49/9.71 inference(unit_resolution,[status(thm)],[10262, 10253])).
% 14.49/9.71 tff(10264,plain,
% 14.49/9.71 ((~((~v113(constB61)) | (~v126(constB61)))) | (~v113(constB61)) | (~v126(constB61))),
% 14.49/9.71 inference(tautology,[status(thm)],[])).
% 14.49/9.71 tff(10265,plain,
% 14.49/9.71 ((~((~v113(constB61)) | (~v126(constB61)))) | (~v113(constB61))),
% 14.49/9.71 inference(unit_resolution,[status(thm)],[10264, 10263])).
% 14.49/9.71 tff(10266,plain,
% 14.49/9.71 (~((~v113(constB61)) | (~v126(constB61)))),
% 14.49/9.71 inference(unit_resolution,[status(thm)],[10265, 10251])).
% 14.49/9.71 tff(10267,plain,
% 14.49/9.71 ((~(v112(constB61) <=> (~((~v113(constB61)) | (~v126(constB61)))))) | v112(constB61) | ((~v113(constB61)) | (~v126(constB61)))),
% 14.49/9.71 inference(tautology,[status(thm)],[])).
% 14.49/9.71 tff(10268,plain,
% 14.49/9.71 (v112(constB61)),
% 14.49/9.71 inference(unit_resolution,[status(thm)],[10267, 10266, 2168])).
% 14.49/9.71 tff(10269,plain,
% 14.49/9.71 ((v111(constB61) | v112(constB61)) | (~v112(constB61))),
% 14.49/9.71 inference(tautology,[status(thm)],[])).
% 14.49/9.71 tff(10270,plain,
% 14.49/9.71 (v111(constB61) | v112(constB61)),
% 14.49/9.71 inference(unit_resolution,[status(thm)],[10269, 10268])).
% 14.49/9.71 tff(10271,plain,
% 14.49/9.71 ((~(v108(constB61) <=> (v111(constB61) | v112(constB61)))) | v108(constB61) | (~(v111(constB61) | v112(constB61)))),
% 14.49/9.71 inference(tautology,[status(thm)],[])).
% 14.49/9.71 tff(10272,plain,
% 14.49/9.71 (v108(constB61)),
% 14.49/9.71 inference(unit_resolution,[status(thm)],[10271, 10270, 2166])).
% 14.49/9.71 tff(10273,plain,
% 14.49/9.71 ((~(v110(constB62) <=> v108(constB61))) | v110(constB62) | (~v108(constB61))),
% 14.49/9.71 inference(tautology,[status(thm)],[])).
% 14.49/9.71 tff(10274,plain,
% 14.49/9.71 (v110(constB62)),
% 14.49/9.71 inference(unit_resolution,[status(thm)],[10273, 10272, 2164])).
% 14.49/9.71 tff(10275,plain,
% 14.49/9.71 ((~((~v101(constB62)) | (~v110(constB62)))) | (~v101(constB62)) | (~v110(constB62))),
% 14.49/9.71 inference(tautology,[status(thm)],[])).
% 14.49/9.71 tff(10276,plain,
% 14.49/9.71 (~((~v101(constB62)) | (~v110(constB62)))),
% 14.49/9.71 inference(unit_resolution,[status(thm)],[10275, 10274, 2160])).
% 14.49/9.71 tff(10277,plain,
% 14.49/9.71 ((~(v100(constB62) <=> (~((~v101(constB62)) | (~v110(constB62)))))) | v100(constB62) | ((~v101(constB62)) | (~v110(constB62)))),
% 14.49/9.71 inference(tautology,[status(thm)],[])).
% 14.49/9.71 tff(10278,plain,
% 14.49/9.71 (v100(constB62)),
% 14.49/9.71 inference(unit_resolution,[status(thm)],[10277, 10276, 2129])).
% 14.49/9.71 tff(10279,plain,
% 14.49/9.71 (((~![VarNext: $i] : ((~v100(VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v129(VarNext, B))))) | ((~v100(constB62)) | ![B: $i] : ((~less_3(B)) | (v90(constB62, B) <=> v129(constB62, B))))) <=> ((~![VarNext: $i] : ((~v100(VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v129(VarNext, B))))) | (~v100(constB62)) | ![B: $i] : ((~less_3(B)) | (v90(constB62, B) <=> v129(constB62, B))))),
% 14.49/9.71 inference(rewrite,[status(thm)],[])).
% 14.49/9.71 tff(10280,plain,
% 14.49/9.71 ((~![VarNext: $i] : ((~v100(VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v129(VarNext, B))))) | ((~v100(constB62)) | ![B: $i] : ((~less_3(B)) | (v90(constB62, B) <=> v129(constB62, B))))),
% 14.49/9.71 inference(quant_inst,[status(thm)],[])).
% 14.49/9.71 tff(10281,plain,
% 14.49/9.71 ((~![VarNext: $i] : ((~v100(VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v129(VarNext, B))))) | (~v100(constB62)) | ![B: $i] : ((~less_3(B)) | (v90(constB62, B) <=> v129(constB62, B)))),
% 14.51/9.71 inference(modus_ponens,[status(thm)],[10280, 10279])).
% 14.51/9.71 tff(10282,plain,
% 14.51/9.71 ((~v100(constB62)) | ![B: $i] : ((~less_3(B)) | (v90(constB62, B) <=> v129(constB62, B)))),
% 14.51/9.71 inference(unit_resolution,[status(thm)],[10281, 5134])).
% 14.51/9.71 tff(10283,plain,
% 14.51/9.71 (![B: $i] : ((~less_3(B)) | (v90(constB62, B) <=> v129(constB62, B)))),
% 14.51/9.71 inference(unit_resolution,[status(thm)],[10282, 10278])).
% 14.51/9.71 tff(10284,plain,
% 14.51/9.71 (((~![B: $i] : ((~less_3(B)) | (v90(constB62, B) <=> v129(constB62, B)))) | ((~less_3(bitIndex2)) | (v90(constB62, bitIndex2) <=> v129(constB62, bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v90(constB62, B) <=> v129(constB62, B)))) | (~less_3(bitIndex2)) | (v90(constB62, bitIndex2) <=> v129(constB62, bitIndex2)))),
% 14.51/9.71 inference(rewrite,[status(thm)],[])).
% 14.51/9.71 tff(10285,plain,
% 14.51/9.71 ((~![B: $i] : ((~less_3(B)) | (v90(constB62, B) <=> v129(constB62, B)))) | ((~less_3(bitIndex2)) | (v90(constB62, bitIndex2) <=> v129(constB62, bitIndex2)))),
% 14.51/9.71 inference(quant_inst,[status(thm)],[])).
% 14.51/9.71 tff(10286,plain,
% 14.51/9.71 ((~![B: $i] : ((~less_3(B)) | (v90(constB62, B) <=> v129(constB62, B)))) | (~less_3(bitIndex2)) | (v90(constB62, bitIndex2) <=> v129(constB62, bitIndex2))),
% 14.51/9.71 inference(modus_ponens,[status(thm)],[10285, 10284])).
% 14.51/9.71 tff(10287,plain,
% 14.51/9.71 (v90(constB62, bitIndex2) <=> v129(constB62, bitIndex2)),
% 14.51/9.71 inference(unit_resolution,[status(thm)],[10286, 413, 10283])).
% 14.51/9.71 tff(10288,plain,
% 14.51/9.71 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v129(VarNext, B) <=> v127(VarCurr, B))))) | ((~nextState(constB61, constB62)) | ![B: $i] : ((~less_3(B)) | (v129(constB62, B) <=> v127(constB61, B))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v129(VarNext, B) <=> v127(VarCurr, B))))) | (~nextState(constB61, constB62)) | ![B: $i] : ((~less_3(B)) | (v129(constB62, B) <=> v127(constB61, B))))),
% 14.51/9.71 inference(rewrite,[status(thm)],[])).
% 14.51/9.71 tff(10289,plain,
% 14.51/9.71 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v129(VarNext, B) <=> v127(VarCurr, B))))) | ((~nextState(constB61, constB62)) | ![B: $i] : ((~less_3(B)) | (v129(constB62, B) <=> v127(constB61, B))))),
% 14.51/9.71 inference(quant_inst,[status(thm)],[])).
% 14.51/9.71 tff(10290,plain,
% 14.51/9.71 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v129(VarNext, B) <=> v127(VarCurr, B))))) | (~nextState(constB61, constB62)) | ![B: $i] : ((~less_3(B)) | (v129(constB62, B) <=> v127(constB61, B)))),
% 14.51/9.71 inference(modus_ponens,[status(thm)],[10289, 10288])).
% 14.51/9.71 tff(10291,plain,
% 14.51/9.71 (![B: $i] : ((~less_3(B)) | (v129(constB62, B) <=> v127(constB61, B)))),
% 14.51/9.71 inference(unit_resolution,[status(thm)],[10290, 2125, 5156])).
% 14.51/9.71 tff(10292,plain,
% 14.51/9.71 (((~![B: $i] : ((~less_3(B)) | (v129(constB62, B) <=> v127(constB61, B)))) | ((~less_3(bitIndex2)) | (v129(constB62, bitIndex2) <=> v127(constB61, bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v129(constB62, B) <=> v127(constB61, B)))) | (~less_3(bitIndex2)) | (v129(constB62, bitIndex2) <=> v127(constB61, bitIndex2)))),
% 14.51/9.71 inference(rewrite,[status(thm)],[])).
% 14.51/9.71 tff(10293,plain,
% 14.51/9.71 ((~![B: $i] : ((~less_3(B)) | (v129(constB62, B) <=> v127(constB61, B)))) | ((~less_3(bitIndex2)) | (v129(constB62, bitIndex2) <=> v127(constB61, bitIndex2)))),
% 14.51/9.71 inference(quant_inst,[status(thm)],[])).
% 14.51/9.71 tff(10294,plain,
% 14.51/9.71 ((~![B: $i] : ((~less_3(B)) | (v129(constB62, B) <=> v127(constB61, B)))) | (~less_3(bitIndex2)) | (v129(constB62, bitIndex2) <=> v127(constB61, bitIndex2))),
% 14.51/9.71 inference(modus_ponens,[status(thm)],[10293, 10292])).
% 14.51/9.71 tff(10295,plain,
% 14.51/9.71 (v129(constB62, bitIndex2) <=> v127(constB61, bitIndex2)),
% 14.51/9.71 inference(unit_resolution,[status(thm)],[10294, 413, 10291])).
% 14.51/9.71 tff(10296,plain,
% 14.51/9.71 (((~![VarCurr: $i] : (v111(VarCurr) | ![B: $i] : ((~less_3(B)) | (v127(VarCurr, B) <=> v130(VarCurr, B))))) | (v111(constB61) | ![B: $i] : ((~less_3(B)) | (v127(constB61, B) <=> v130(constB61, B))))) <=> ((~![VarCurr: $i] : (v111(VarCurr) | ![B: $i] : ((~less_3(B)) | (v127(VarCurr, B) <=> v130(VarCurr, B))))) | v111(constB61) | ![B: $i] : ((~less_3(B)) | (v127(constB61, B) <=> v130(constB61, B))))),
% 14.51/9.72 inference(rewrite,[status(thm)],[])).
% 14.51/9.72 tff(10297,plain,
% 14.51/9.72 ((~![VarCurr: $i] : (v111(VarCurr) | ![B: $i] : ((~less_3(B)) | (v127(VarCurr, B) <=> v130(VarCurr, B))))) | (v111(constB61) | ![B: $i] : ((~less_3(B)) | (v127(constB61, B) <=> v130(constB61, B))))),
% 14.51/9.72 inference(quant_inst,[status(thm)],[])).
% 14.51/9.72 tff(10298,plain,
% 14.51/9.72 ((~![VarCurr: $i] : (v111(VarCurr) | ![B: $i] : ((~less_3(B)) | (v127(VarCurr, B) <=> v130(VarCurr, B))))) | v111(constB61) | ![B: $i] : ((~less_3(B)) | (v127(constB61, B) <=> v130(constB61, B)))),
% 14.51/9.72 inference(modus_ponens,[status(thm)],[10297, 10296])).
% 14.51/9.72 tff(10299,plain,
% 14.51/9.72 (![B: $i] : ((~less_3(B)) | (v127(constB61, B) <=> v130(constB61, B)))),
% 14.51/9.72 inference(unit_resolution,[status(thm)],[10298, 5177, 10260])).
% 14.51/9.72 tff(10300,plain,
% 14.51/9.72 (((~![B: $i] : ((~less_3(B)) | (v127(constB61, B) <=> v130(constB61, B)))) | ((~less_3(bitIndex2)) | (v127(constB61, bitIndex2) <=> v130(constB61, bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v127(constB61, B) <=> v130(constB61, B)))) | (~less_3(bitIndex2)) | (v127(constB61, bitIndex2) <=> v130(constB61, bitIndex2)))),
% 14.51/9.72 inference(rewrite,[status(thm)],[])).
% 14.51/9.72 tff(10301,plain,
% 14.51/9.72 ((~![B: $i] : ((~less_3(B)) | (v127(constB61, B) <=> v130(constB61, B)))) | ((~less_3(bitIndex2)) | (v127(constB61, bitIndex2) <=> v130(constB61, bitIndex2)))),
% 14.51/9.72 inference(quant_inst,[status(thm)],[])).
% 14.51/9.72 tff(10302,plain,
% 14.51/9.72 ((~![B: $i] : ((~less_3(B)) | (v127(constB61, B) <=> v130(constB61, B)))) | (~less_3(bitIndex2)) | (v127(constB61, bitIndex2) <=> v130(constB61, bitIndex2))),
% 14.51/9.72 inference(modus_ponens,[status(thm)],[10301, 10300])).
% 14.51/9.72 tff(10303,plain,
% 14.51/9.72 (v127(constB61, bitIndex2) <=> v130(constB61, bitIndex2)),
% 14.51/9.72 inference(unit_resolution,[status(thm)],[10302, 413, 10299])).
% 14.51/9.72 tff(10304,plain,
% 14.51/9.72 (((~![VarCurr: $i] : ((~v122(VarCurr)) | ![B: $i] : ((~less_3(B)) | (v130(VarCurr, B) <=> b100(B))))) | ((~v122(constB61)) | ![B: $i] : ((~less_3(B)) | (v130(constB61, B) <=> b100(B))))) <=> ((~![VarCurr: $i] : ((~v122(VarCurr)) | ![B: $i] : ((~less_3(B)) | (v130(VarCurr, B) <=> b100(B))))) | (~v122(constB61)) | ![B: $i] : ((~less_3(B)) | (v130(constB61, B) <=> b100(B))))),
% 14.51/9.72 inference(rewrite,[status(thm)],[])).
% 14.51/9.72 tff(10305,plain,
% 14.51/9.72 ((~![VarCurr: $i] : ((~v122(VarCurr)) | ![B: $i] : ((~less_3(B)) | (v130(VarCurr, B) <=> b100(B))))) | ((~v122(constB61)) | ![B: $i] : ((~less_3(B)) | (v130(constB61, B) <=> b100(B))))),
% 14.51/9.72 inference(quant_inst,[status(thm)],[])).
% 14.51/9.72 tff(10306,plain,
% 14.51/9.72 ((~![VarCurr: $i] : ((~v122(VarCurr)) | ![B: $i] : ((~less_3(B)) | (v130(VarCurr, B) <=> b100(B))))) | (~v122(constB61)) | ![B: $i] : ((~less_3(B)) | (v130(constB61, B) <=> b100(B)))),
% 14.51/9.72 inference(modus_ponens,[status(thm)],[10305, 10304])).
% 14.51/9.72 tff(10307,plain,
% 14.51/9.72 ((~v122(constB61)) | ![B: $i] : ((~less_3(B)) | (v130(constB61, B) <=> b100(B)))),
% 14.51/9.72 inference(unit_resolution,[status(thm)],[10306, 6153])).
% 14.51/9.72 tff(10308,plain,
% 14.51/9.72 (![B: $i] : ((~less_3(B)) | (v130(constB61, B) <=> b100(B)))),
% 14.51/9.72 inference(unit_resolution,[status(thm)],[10307, 10235])).
% 14.51/9.72 tff(10309,plain,
% 14.51/9.72 (((~![B: $i] : ((~less_3(B)) | (v130(constB61, B) <=> b100(B)))) | ((~less_3(bitIndex2)) | (v130(constB61, bitIndex2) <=> b100(bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v130(constB61, B) <=> b100(B)))) | (~less_3(bitIndex2)) | (v130(constB61, bitIndex2) <=> b100(bitIndex2)))),
% 14.51/9.72 inference(rewrite,[status(thm)],[])).
% 14.51/9.72 tff(10310,plain,
% 14.51/9.72 ((~![B: $i] : ((~less_3(B)) | (v130(constB61, B) <=> b100(B)))) | ((~less_3(bitIndex2)) | (v130(constB61, bitIndex2) <=> b100(bitIndex2)))),
% 14.51/9.72 inference(quant_inst,[status(thm)],[])).
% 14.51/9.72 tff(10311,plain,
% 14.51/9.72 ((~![B: $i] : ((~less_3(B)) | (v130(constB61, B) <=> b100(B)))) | (~less_3(bitIndex2)) | (v130(constB61, bitIndex2) <=> b100(bitIndex2))),
% 14.51/9.72 inference(modus_ponens,[status(thm)],[10310, 10309])).
% 14.51/9.72 tff(10312,plain,
% 14.51/9.72 (v130(constB61, bitIndex2) <=> b100(bitIndex2)),
% 14.51/9.72 inference(unit_resolution,[status(thm)],[10311, 413, 10308])).
% 14.51/9.72 tff(10313,plain,
% 14.51/9.72 ((~(v130(constB61, bitIndex2) <=> b100(bitIndex2))) | v130(constB61, bitIndex2) | (~b100(bitIndex2))),
% 14.51/9.72 inference(tautology,[status(thm)],[])).
% 14.51/9.72 tff(10314,plain,
% 14.51/9.72 ((~(v130(constB61, bitIndex2) <=> b100(bitIndex2))) | v130(constB61, bitIndex2)),
% 14.51/9.72 inference(unit_resolution,[status(thm)],[10313, 5209])).
% 14.51/9.72 tff(10315,plain,
% 14.51/9.72 (v130(constB61, bitIndex2)),
% 14.51/9.72 inference(unit_resolution,[status(thm)],[10314, 10312])).
% 14.51/9.72 tff(10316,plain,
% 14.51/9.72 ((~(v127(constB61, bitIndex2) <=> v130(constB61, bitIndex2))) | v127(constB61, bitIndex2) | (~v130(constB61, bitIndex2))),
% 14.51/9.72 inference(tautology,[status(thm)],[])).
% 14.51/9.72 tff(10317,plain,
% 14.51/9.72 (v127(constB61, bitIndex2)),
% 14.51/9.72 inference(unit_resolution,[status(thm)],[10316, 10315, 10303])).
% 14.51/9.72 tff(10318,plain,
% 14.51/9.72 ((~(v129(constB62, bitIndex2) <=> v127(constB61, bitIndex2))) | v129(constB62, bitIndex2) | (~v127(constB61, bitIndex2))),
% 14.51/9.72 inference(tautology,[status(thm)],[])).
% 14.51/9.72 tff(10319,plain,
% 14.51/9.72 (v129(constB62, bitIndex2)),
% 14.51/9.72 inference(unit_resolution,[status(thm)],[10318, 10317, 10295])).
% 14.51/9.72 tff(10320,plain,
% 14.51/9.72 ((~(v90(constB62, bitIndex2) <=> v129(constB62, bitIndex2))) | v90(constB62, bitIndex2) | (~v129(constB62, bitIndex2))),
% 14.51/9.72 inference(tautology,[status(thm)],[])).
% 14.51/9.72 tff(10321,plain,
% 14.51/9.72 (v90(constB62, bitIndex2)),
% 14.51/9.72 inference(unit_resolution,[status(thm)],[10320, 10319, 10287])).
% 14.51/9.72 tff(10322,plain,
% 14.51/9.72 ((~(v90(constB63, bitIndex2) <=> v90(constB62, bitIndex2))) | v90(constB63, bitIndex2) | (~v90(constB62, bitIndex2))),
% 14.51/9.72 inference(tautology,[status(thm)],[])).
% 14.51/9.72 tff(10323,plain,
% 14.51/9.72 (v90(constB63, bitIndex2)),
% 14.51/9.72 inference(unit_resolution,[status(thm)],[10322, 10321, 2122])).
% 14.51/9.72 tff(10324,plain,
% 14.51/9.72 (((~![B: $i] : ((~less_3(B)) | (v90(constB63, B) <=> v90(constB62, B)))) | ((~less_3(bitIndex0)) | (v90(constB63, bitIndex0) <=> v90(constB62, bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v90(constB63, B) <=> v90(constB62, B)))) | (~less_3(bitIndex0)) | (v90(constB63, bitIndex0) <=> v90(constB62, bitIndex0)))),
% 14.51/9.72 inference(rewrite,[status(thm)],[])).
% 14.51/9.72 tff(10325,plain,
% 14.51/9.72 ((~![B: $i] : ((~less_3(B)) | (v90(constB63, B) <=> v90(constB62, B)))) | ((~less_3(bitIndex0)) | (v90(constB63, bitIndex0) <=> v90(constB62, bitIndex0)))),
% 14.51/9.72 inference(quant_inst,[status(thm)],[])).
% 14.51/9.72 tff(10326,plain,
% 14.51/9.72 ((~![B: $i] : ((~less_3(B)) | (v90(constB63, B) <=> v90(constB62, B)))) | (~less_3(bitIndex0)) | (v90(constB63, bitIndex0) <=> v90(constB62, bitIndex0))),
% 14.51/9.72 inference(modus_ponens,[status(thm)],[10325, 10324])).
% 14.51/9.72 tff(10327,plain,
% 14.51/9.72 (v90(constB63, bitIndex0) <=> v90(constB62, bitIndex0)),
% 14.51/9.72 inference(unit_resolution,[status(thm)],[10326, 5004, 2118])).
% 14.51/9.72 tff(10328,plain,
% 14.51/9.72 (((~![B: $i] : ((~less_3(B)) | (v90(constB62, B) <=> v129(constB62, B)))) | ((~less_3(bitIndex0)) | (v90(constB62, bitIndex0) <=> v129(constB62, bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v90(constB62, B) <=> v129(constB62, B)))) | (~less_3(bitIndex0)) | (v90(constB62, bitIndex0) <=> v129(constB62, bitIndex0)))),
% 14.51/9.72 inference(rewrite,[status(thm)],[])).
% 14.51/9.72 tff(10329,plain,
% 14.51/9.72 ((~![B: $i] : ((~less_3(B)) | (v90(constB62, B) <=> v129(constB62, B)))) | ((~less_3(bitIndex0)) | (v90(constB62, bitIndex0) <=> v129(constB62, bitIndex0)))),
% 14.51/9.72 inference(quant_inst,[status(thm)],[])).
% 14.51/9.72 tff(10330,plain,
% 14.51/9.72 ((~![B: $i] : ((~less_3(B)) | (v90(constB62, B) <=> v129(constB62, B)))) | (~less_3(bitIndex0)) | (v90(constB62, bitIndex0) <=> v129(constB62, bitIndex0))),
% 14.51/9.72 inference(modus_ponens,[status(thm)],[10329, 10328])).
% 14.51/9.72 tff(10331,plain,
% 14.51/9.72 (v90(constB62, bitIndex0) <=> v129(constB62, bitIndex0)),
% 14.51/9.72 inference(unit_resolution,[status(thm)],[10330, 5004, 10283])).
% 14.51/9.72 tff(10332,plain,
% 14.51/9.72 (((~![B: $i] : ((~less_3(B)) | (v129(constB62, B) <=> v127(constB61, B)))) | ((~less_3(bitIndex0)) | (v129(constB62, bitIndex0) <=> v127(constB61, bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v129(constB62, B) <=> v127(constB61, B)))) | (~less_3(bitIndex0)) | (v129(constB62, bitIndex0) <=> v127(constB61, bitIndex0)))),
% 14.51/9.72 inference(rewrite,[status(thm)],[])).
% 14.51/9.72 tff(10333,plain,
% 14.51/9.72 ((~![B: $i] : ((~less_3(B)) | (v129(constB62, B) <=> v127(constB61, B)))) | ((~less_3(bitIndex0)) | (v129(constB62, bitIndex0) <=> v127(constB61, bitIndex0)))),
% 14.51/9.72 inference(quant_inst,[status(thm)],[])).
% 14.51/9.72 tff(10334,plain,
% 14.51/9.72 ((~![B: $i] : ((~less_3(B)) | (v129(constB62, B) <=> v127(constB61, B)))) | (~less_3(bitIndex0)) | (v129(constB62, bitIndex0) <=> v127(constB61, bitIndex0))),
% 14.51/9.72 inference(modus_ponens,[status(thm)],[10333, 10332])).
% 14.51/9.72 tff(10335,plain,
% 14.51/9.72 (v129(constB62, bitIndex0) <=> v127(constB61, bitIndex0)),
% 14.51/9.72 inference(unit_resolution,[status(thm)],[10334, 5004, 10291])).
% 14.51/9.72 tff(10336,plain,
% 14.51/9.72 (((~![B: $i] : ((~less_3(B)) | (v127(constB61, B) <=> v130(constB61, B)))) | ((~less_3(bitIndex0)) | (v127(constB61, bitIndex0) <=> v130(constB61, bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v127(constB61, B) <=> v130(constB61, B)))) | (~less_3(bitIndex0)) | (v127(constB61, bitIndex0) <=> v130(constB61, bitIndex0)))),
% 14.51/9.72 inference(rewrite,[status(thm)],[])).
% 14.51/9.72 tff(10337,plain,
% 14.51/9.72 ((~![B: $i] : ((~less_3(B)) | (v127(constB61, B) <=> v130(constB61, B)))) | ((~less_3(bitIndex0)) | (v127(constB61, bitIndex0) <=> v130(constB61, bitIndex0)))),
% 14.51/9.72 inference(quant_inst,[status(thm)],[])).
% 14.51/9.72 tff(10338,plain,
% 14.51/9.72 ((~![B: $i] : ((~less_3(B)) | (v127(constB61, B) <=> v130(constB61, B)))) | (~less_3(bitIndex0)) | (v127(constB61, bitIndex0) <=> v130(constB61, bitIndex0))),
% 14.51/9.72 inference(modus_ponens,[status(thm)],[10337, 10336])).
% 14.51/9.72 tff(10339,plain,
% 14.51/9.72 (v127(constB61, bitIndex0) <=> v130(constB61, bitIndex0)),
% 14.51/9.72 inference(unit_resolution,[status(thm)],[10338, 5004, 10299])).
% 14.51/9.72 tff(10340,plain,
% 14.51/9.72 (((~![B: $i] : ((~less_3(B)) | (v130(constB61, B) <=> b100(B)))) | ((~less_3(bitIndex0)) | (v130(constB61, bitIndex0) <=> b100(bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v130(constB61, B) <=> b100(B)))) | (~less_3(bitIndex0)) | (v130(constB61, bitIndex0) <=> b100(bitIndex0)))),
% 14.51/9.72 inference(rewrite,[status(thm)],[])).
% 14.51/9.72 tff(10341,plain,
% 14.51/9.72 ((~![B: $i] : ((~less_3(B)) | (v130(constB61, B) <=> b100(B)))) | ((~less_3(bitIndex0)) | (v130(constB61, bitIndex0) <=> b100(bitIndex0)))),
% 14.51/9.72 inference(quant_inst,[status(thm)],[])).
% 14.51/9.72 tff(10342,plain,
% 14.51/9.72 ((~![B: $i] : ((~less_3(B)) | (v130(constB61, B) <=> b100(B)))) | (~less_3(bitIndex0)) | (v130(constB61, bitIndex0) <=> b100(bitIndex0))),
% 14.51/9.72 inference(modus_ponens,[status(thm)],[10341, 10340])).
% 14.51/9.72 tff(10343,plain,
% 14.51/9.72 (v130(constB61, bitIndex0) <=> b100(bitIndex0)),
% 14.51/9.72 inference(unit_resolution,[status(thm)],[10342, 5004, 10308])).
% 14.51/9.72 tff(10344,plain,
% 14.51/9.72 ((~(v130(constB61, bitIndex0) <=> b100(bitIndex0))) | (~v130(constB61, bitIndex0)) | b100(bitIndex0)),
% 14.51/9.72 inference(tautology,[status(thm)],[])).
% 14.51/9.72 tff(10345,plain,
% 14.51/9.72 ((~(v130(constB61, bitIndex0) <=> b100(bitIndex0))) | (~v130(constB61, bitIndex0))),
% 14.51/9.72 inference(unit_resolution,[status(thm)],[10344, 5243])).
% 14.51/9.72 tff(10346,plain,
% 14.51/9.72 (~v130(constB61, bitIndex0)),
% 14.51/9.72 inference(unit_resolution,[status(thm)],[10345, 10343])).
% 14.51/9.72 tff(10347,plain,
% 14.51/9.72 ((~(v127(constB61, bitIndex0) <=> v130(constB61, bitIndex0))) | (~v127(constB61, bitIndex0)) | v130(constB61, bitIndex0)),
% 14.51/9.72 inference(tautology,[status(thm)],[])).
% 14.51/9.72 tff(10348,plain,
% 14.51/9.72 (~v127(constB61, bitIndex0)),
% 14.51/9.72 inference(unit_resolution,[status(thm)],[10347, 10346, 10339])).
% 14.51/9.72 tff(10349,plain,
% 14.51/9.72 ((~(v129(constB62, bitIndex0) <=> v127(constB61, bitIndex0))) | (~v129(constB62, bitIndex0)) | v127(constB61, bitIndex0)),
% 14.51/9.72 inference(tautology,[status(thm)],[])).
% 14.51/9.72 tff(10350,plain,
% 14.51/9.72 (~v129(constB62, bitIndex0)),
% 14.51/9.72 inference(unit_resolution,[status(thm)],[10349, 10348, 10335])).
% 14.51/9.72 tff(10351,plain,
% 14.51/9.72 ((~(v90(constB62, bitIndex0) <=> v129(constB62, bitIndex0))) | (~v90(constB62, bitIndex0)) | v129(constB62, bitIndex0)),
% 14.51/9.72 inference(tautology,[status(thm)],[])).
% 14.51/9.72 tff(10352,plain,
% 14.51/9.72 (~v90(constB62, bitIndex0)),
% 14.51/9.72 inference(unit_resolution,[status(thm)],[10351, 10350, 10331])).
% 14.51/9.72 tff(10353,plain,
% 14.51/9.72 ((~(v90(constB63, bitIndex0) <=> v90(constB62, bitIndex0))) | (~v90(constB63, bitIndex0)) | v90(constB62, bitIndex0)),
% 14.51/9.72 inference(tautology,[status(thm)],[])).
% 14.51/9.72 tff(10354,plain,
% 14.51/9.72 (~v90(constB63, bitIndex0)),
% 14.51/9.72 inference(unit_resolution,[status(thm)],[10353, 10352, 10327])).
% 14.51/9.72 tff(10355,plain,
% 14.51/9.72 (((~![B: $i] : ((~less_3(B)) | (v90(constB63, B) <=> v90(constB62, B)))) | ((~less_3(bitIndex1)) | (v90(constB63, bitIndex1) <=> v90(constB62, bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v90(constB63, B) <=> v90(constB62, B)))) | (~less_3(bitIndex1)) | (v90(constB63, bitIndex1) <=> v90(constB62, bitIndex1)))),
% 14.51/9.72 inference(rewrite,[status(thm)],[])).
% 14.51/9.72 tff(10356,plain,
% 14.51/9.72 ((~![B: $i] : ((~less_3(B)) | (v90(constB63, B) <=> v90(constB62, B)))) | ((~less_3(bitIndex1)) | (v90(constB63, bitIndex1) <=> v90(constB62, bitIndex1)))),
% 14.51/9.72 inference(quant_inst,[status(thm)],[])).
% 14.51/9.72 tff(10357,plain,
% 14.51/9.72 ((~![B: $i] : ((~less_3(B)) | (v90(constB63, B) <=> v90(constB62, B)))) | (~less_3(bitIndex1)) | (v90(constB63, bitIndex1) <=> v90(constB62, bitIndex1))),
% 14.51/9.72 inference(modus_ponens,[status(thm)],[10356, 10355])).
% 14.51/9.72 tff(10358,plain,
% 14.51/9.72 (v90(constB63, bitIndex1) <=> v90(constB62, bitIndex1)),
% 14.51/9.72 inference(unit_resolution,[status(thm)],[10357, 5017, 2118])).
% 14.51/9.72 tff(10359,plain,
% 14.51/9.72 (((~![B: $i] : ((~less_3(B)) | (v90(constB62, B) <=> v129(constB62, B)))) | ((~less_3(bitIndex1)) | (v90(constB62, bitIndex1) <=> v129(constB62, bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v90(constB62, B) <=> v129(constB62, B)))) | (~less_3(bitIndex1)) | (v90(constB62, bitIndex1) <=> v129(constB62, bitIndex1)))),
% 14.51/9.72 inference(rewrite,[status(thm)],[])).
% 14.51/9.72 tff(10360,plain,
% 14.51/9.72 ((~![B: $i] : ((~less_3(B)) | (v90(constB62, B) <=> v129(constB62, B)))) | ((~less_3(bitIndex1)) | (v90(constB62, bitIndex1) <=> v129(constB62, bitIndex1)))),
% 14.51/9.72 inference(quant_inst,[status(thm)],[])).
% 14.51/9.72 tff(10361,plain,
% 14.51/9.72 ((~![B: $i] : ((~less_3(B)) | (v90(constB62, B) <=> v129(constB62, B)))) | (~less_3(bitIndex1)) | (v90(constB62, bitIndex1) <=> v129(constB62, bitIndex1))),
% 14.51/9.72 inference(modus_ponens,[status(thm)],[10360, 10359])).
% 14.51/9.72 tff(10362,plain,
% 14.51/9.72 (v90(constB62, bitIndex1) <=> v129(constB62, bitIndex1)),
% 14.51/9.72 inference(unit_resolution,[status(thm)],[10361, 5017, 10283])).
% 14.51/9.72 tff(10363,plain,
% 14.51/9.72 (((~![B: $i] : ((~less_3(B)) | (v129(constB62, B) <=> v127(constB61, B)))) | ((~less_3(bitIndex1)) | (v129(constB62, bitIndex1) <=> v127(constB61, bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v129(constB62, B) <=> v127(constB61, B)))) | (~less_3(bitIndex1)) | (v129(constB62, bitIndex1) <=> v127(constB61, bitIndex1)))),
% 14.51/9.72 inference(rewrite,[status(thm)],[])).
% 14.51/9.72 tff(10364,plain,
% 14.51/9.72 ((~![B: $i] : ((~less_3(B)) | (v129(constB62, B) <=> v127(constB61, B)))) | ((~less_3(bitIndex1)) | (v129(constB62, bitIndex1) <=> v127(constB61, bitIndex1)))),
% 14.51/9.72 inference(quant_inst,[status(thm)],[])).
% 14.51/9.72 tff(10365,plain,
% 14.51/9.72 ((~![B: $i] : ((~less_3(B)) | (v129(constB62, B) <=> v127(constB61, B)))) | (~less_3(bitIndex1)) | (v129(constB62, bitIndex1) <=> v127(constB61, bitIndex1))),
% 14.51/9.72 inference(modus_ponens,[status(thm)],[10364, 10363])).
% 14.51/9.72 tff(10366,plain,
% 14.51/9.72 (v129(constB62, bitIndex1) <=> v127(constB61, bitIndex1)),
% 14.51/9.72 inference(unit_resolution,[status(thm)],[10365, 5017, 10291])).
% 14.51/9.72 tff(10367,plain,
% 14.51/9.72 (((~![B: $i] : ((~less_3(B)) | (v127(constB61, B) <=> v130(constB61, B)))) | ((~less_3(bitIndex1)) | (v127(constB61, bitIndex1) <=> v130(constB61, bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v127(constB61, B) <=> v130(constB61, B)))) | (~less_3(bitIndex1)) | (v127(constB61, bitIndex1) <=> v130(constB61, bitIndex1)))),
% 14.51/9.72 inference(rewrite,[status(thm)],[])).
% 14.51/9.72 tff(10368,plain,
% 14.51/9.72 ((~![B: $i] : ((~less_3(B)) | (v127(constB61, B) <=> v130(constB61, B)))) | ((~less_3(bitIndex1)) | (v127(constB61, bitIndex1) <=> v130(constB61, bitIndex1)))),
% 14.51/9.72 inference(quant_inst,[status(thm)],[])).
% 14.51/9.72 tff(10369,plain,
% 14.51/9.72 ((~![B: $i] : ((~less_3(B)) | (v127(constB61, B) <=> v130(constB61, B)))) | (~less_3(bitIndex1)) | (v127(constB61, bitIndex1) <=> v130(constB61, bitIndex1))),
% 14.51/9.72 inference(modus_ponens,[status(thm)],[10368, 10367])).
% 14.51/9.72 tff(10370,plain,
% 14.51/9.72 (v127(constB61, bitIndex1) <=> v130(constB61, bitIndex1)),
% 14.51/9.72 inference(unit_resolution,[status(thm)],[10369, 5017, 10299])).
% 14.51/9.72 tff(10371,plain,
% 14.51/9.72 (((~![B: $i] : ((~less_3(B)) | (v130(constB61, B) <=> b100(B)))) | ((~less_3(bitIndex1)) | (v130(constB61, bitIndex1) <=> b100(bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v130(constB61, B) <=> b100(B)))) | (~less_3(bitIndex1)) | (v130(constB61, bitIndex1) <=> b100(bitIndex1)))),
% 14.51/9.73 inference(rewrite,[status(thm)],[])).
% 14.51/9.73 tff(10372,plain,
% 14.51/9.73 ((~![B: $i] : ((~less_3(B)) | (v130(constB61, B) <=> b100(B)))) | ((~less_3(bitIndex1)) | (v130(constB61, bitIndex1) <=> b100(bitIndex1)))),
% 14.51/9.73 inference(quant_inst,[status(thm)],[])).
% 14.51/9.73 tff(10373,plain,
% 14.51/9.73 ((~![B: $i] : ((~less_3(B)) | (v130(constB61, B) <=> b100(B)))) | (~less_3(bitIndex1)) | (v130(constB61, bitIndex1) <=> b100(bitIndex1))),
% 14.51/9.73 inference(modus_ponens,[status(thm)],[10372, 10371])).
% 14.51/9.73 tff(10374,plain,
% 14.51/9.73 (v130(constB61, bitIndex1) <=> b100(bitIndex1)),
% 14.51/9.73 inference(unit_resolution,[status(thm)],[10373, 5017, 10308])).
% 14.51/9.73 tff(10375,plain,
% 14.51/9.73 ((~(v130(constB61, bitIndex1) <=> b100(bitIndex1))) | (~v130(constB61, bitIndex1)) | b100(bitIndex1)),
% 14.51/9.73 inference(tautology,[status(thm)],[])).
% 14.51/9.73 tff(10376,plain,
% 14.51/9.73 ((~(v130(constB61, bitIndex1) <=> b100(bitIndex1))) | (~v130(constB61, bitIndex1))),
% 14.51/9.73 inference(unit_resolution,[status(thm)],[10375, 5277])).
% 14.51/9.73 tff(10377,plain,
% 14.51/9.73 (~v130(constB61, bitIndex1)),
% 14.51/9.73 inference(unit_resolution,[status(thm)],[10376, 10374])).
% 14.51/9.73 tff(10378,plain,
% 14.51/9.73 ((~(v127(constB61, bitIndex1) <=> v130(constB61, bitIndex1))) | (~v127(constB61, bitIndex1)) | v130(constB61, bitIndex1)),
% 14.51/9.73 inference(tautology,[status(thm)],[])).
% 14.51/9.73 tff(10379,plain,
% 14.51/9.73 (~v127(constB61, bitIndex1)),
% 14.51/9.73 inference(unit_resolution,[status(thm)],[10378, 10377, 10370])).
% 14.51/9.73 tff(10380,plain,
% 14.51/9.73 ((~(v129(constB62, bitIndex1) <=> v127(constB61, bitIndex1))) | (~v129(constB62, bitIndex1)) | v127(constB61, bitIndex1)),
% 14.51/9.73 inference(tautology,[status(thm)],[])).
% 14.51/9.73 tff(10381,plain,
% 14.51/9.73 (~v129(constB62, bitIndex1)),
% 14.51/9.73 inference(unit_resolution,[status(thm)],[10380, 10379, 10366])).
% 14.51/9.73 tff(10382,plain,
% 14.51/9.73 ((~(v90(constB62, bitIndex1) <=> v129(constB62, bitIndex1))) | (~v90(constB62, bitIndex1)) | v129(constB62, bitIndex1)),
% 14.51/9.73 inference(tautology,[status(thm)],[])).
% 14.51/9.73 tff(10383,plain,
% 14.51/9.73 (~v90(constB62, bitIndex1)),
% 14.51/9.73 inference(unit_resolution,[status(thm)],[10382, 10381, 10362])).
% 14.51/9.73 tff(10384,plain,
% 14.51/9.73 ((~(v90(constB63, bitIndex1) <=> v90(constB62, bitIndex1))) | (~v90(constB63, bitIndex1)) | v90(constB62, bitIndex1)),
% 14.51/9.73 inference(tautology,[status(thm)],[])).
% 14.51/9.73 tff(10385,plain,
% 14.51/9.73 (~v90(constB63, bitIndex1)),
% 14.51/9.73 inference(unit_resolution,[status(thm)],[10384, 10383, 10358])).
% 14.51/9.73 tff(10386,plain,
% 14.51/9.73 ((~((~v90(constB63, bitIndex2)) | v90(constB63, bitIndex1) | v90(constB63, bitIndex0))) | (~v90(constB63, bitIndex2)) | v90(constB63, bitIndex1) | v90(constB63, bitIndex0)),
% 14.51/9.73 inference(tautology,[status(thm)],[])).
% 14.51/9.73 tff(10387,plain,
% 14.51/9.73 (~((~v90(constB63, bitIndex2)) | v90(constB63, bitIndex1) | v90(constB63, bitIndex0))),
% 14.51/9.73 inference(unit_resolution,[status(thm)],[10386, 10385, 10354, 10323])).
% 14.51/9.73 tff(10388,plain,
% 14.51/9.73 ((~(v123(constB63) <=> (~((~v90(constB63, bitIndex2)) | v90(constB63, bitIndex1) | v90(constB63, bitIndex0))))) | v123(constB63) | ((~v90(constB63, bitIndex2)) | v90(constB63, bitIndex1) | v90(constB63, bitIndex0))),
% 14.51/9.73 inference(tautology,[status(thm)],[])).
% 14.51/9.73 tff(10389,plain,
% 14.51/9.73 (v123(constB63)),
% 14.51/9.73 inference(unit_resolution,[status(thm)],[10388, 10387, 2090])).
% 14.51/9.73 tff(10390,plain,
% 14.51/9.73 ((v116(constB63) | v123(constB63)) | (~v123(constB63))),
% 14.51/9.73 inference(tautology,[status(thm)],[])).
% 14.51/9.73 tff(10391,plain,
% 14.51/9.73 (v116(constB63) | v123(constB63)),
% 14.51/9.73 inference(unit_resolution,[status(thm)],[10390, 10389])).
% 14.51/9.73 tff(10392,plain,
% 14.51/9.73 ((~(v115(constB63) <=> (v116(constB63) | v123(constB63)))) | v115(constB63) | (~(v116(constB63) | v123(constB63)))),
% 14.51/9.73 inference(tautology,[status(thm)],[])).
% 14.51/9.73 tff(10393,plain,
% 14.51/9.73 (v115(constB63)),
% 14.51/9.73 inference(unit_resolution,[status(thm)],[10392, 10391, 2083])).
% 14.51/9.73 tff(10394,plain,
% 14.51/9.73 ((v115(constB63) | v124(constB63)) | (~v115(constB63))),
% 14.51/9.73 inference(tautology,[status(thm)],[])).
% 14.51/9.73 tff(10395,plain,
% 14.51/9.73 (v115(constB63) | v124(constB63)),
% 14.51/9.73 inference(unit_resolution,[status(thm)],[10394, 10393])).
% 14.51/9.73 tff(10396,plain,
% 14.51/9.73 ((~(v114(constB63) <=> (v115(constB63) | v124(constB63)))) | v114(constB63) | (~(v115(constB63) | v124(constB63)))),
% 14.51/9.73 inference(tautology,[status(thm)],[])).
% 14.51/9.73 tff(10397,plain,
% 14.51/9.73 (v114(constB63)),
% 14.51/9.73 inference(unit_resolution,[status(thm)],[10396, 10395, 2081])).
% 14.51/9.73 tff(10398,plain,
% 14.51/9.73 ((v114(constB63) | v125(constB63)) | (~v114(constB63))),
% 14.51/9.73 inference(tautology,[status(thm)],[])).
% 14.51/9.73 tff(10399,plain,
% 14.51/9.73 (v114(constB63) | v125(constB63)),
% 14.51/9.73 inference(unit_resolution,[status(thm)],[10398, 10397])).
% 14.51/9.73 tff(10400,plain,
% 14.51/9.73 ((~(v113(constB63) <=> (v114(constB63) | v125(constB63)))) | v113(constB63) | (~(v114(constB63) | v125(constB63)))),
% 14.51/9.73 inference(tautology,[status(thm)],[])).
% 14.51/9.73 tff(10401,plain,
% 14.51/9.73 (v113(constB63)),
% 14.51/9.73 inference(unit_resolution,[status(thm)],[10400, 10399, 2079])).
% 14.51/9.73 tff(10402,plain,
% 14.51/9.73 ((~![VarCurr: $i] : ((~v126(VarCurr)) <=> v111(VarCurr))) | ((~v126(constB63)) <=> v111(constB63))),
% 14.51/9.73 inference(quant_inst,[status(thm)],[])).
% 14.51/9.73 tff(10403,plain,
% 14.51/9.73 ((~v126(constB63)) <=> v111(constB63)),
% 14.51/9.73 inference(unit_resolution,[status(thm)],[10402, 5074])).
% 14.51/9.73 tff(10404,plain,
% 14.51/9.73 ((~![VarCurr: $i] : (v111(VarCurr) <=> v26(VarCurr))) | (v111(constB63) <=> v26(constB63))),
% 14.51/9.73 inference(quant_inst,[status(thm)],[])).
% 14.51/9.73 tff(10405,plain,
% 14.51/9.73 (v111(constB63) <=> v26(constB63)),
% 14.51/9.73 inference(unit_resolution,[status(thm)],[10404, 5086])).
% 14.51/9.73 tff(10406,plain,
% 14.51/9.73 ((~![VarCurr: $i] : (~v26(VarCurr))) | (~v26(constB63))),
% 14.51/9.73 inference(quant_inst,[status(thm)],[])).
% 14.51/9.73 tff(10407,plain,
% 14.51/9.73 (~v26(constB63)),
% 14.51/9.73 inference(unit_resolution,[status(thm)],[10406, 5098])).
% 14.51/9.73 tff(10408,plain,
% 14.51/9.73 ((~(v111(constB63) <=> v26(constB63))) | (~v111(constB63)) | v26(constB63)),
% 14.51/9.73 inference(tautology,[status(thm)],[])).
% 14.51/9.73 tff(10409,plain,
% 14.51/9.73 ((~(v111(constB63) <=> v26(constB63))) | (~v111(constB63))),
% 14.51/9.73 inference(unit_resolution,[status(thm)],[10408, 10407])).
% 14.51/9.73 tff(10410,plain,
% 14.51/9.73 (~v111(constB63)),
% 14.51/9.73 inference(unit_resolution,[status(thm)],[10409, 10405])).
% 14.51/9.73 tff(10411,plain,
% 14.51/9.73 ((~((~v126(constB63)) <=> v111(constB63))) | v126(constB63) | v111(constB63)),
% 14.51/9.73 inference(tautology,[status(thm)],[])).
% 14.51/9.73 tff(10412,plain,
% 14.51/9.73 ((~((~v126(constB63)) <=> v111(constB63))) | v126(constB63)),
% 14.51/9.73 inference(unit_resolution,[status(thm)],[10411, 10410])).
% 14.51/9.73 tff(10413,plain,
% 14.51/9.73 (v126(constB63)),
% 14.51/9.73 inference(unit_resolution,[status(thm)],[10412, 10403])).
% 14.51/9.73 tff(10414,plain,
% 14.51/9.73 ((~((~v113(constB63)) | (~v126(constB63)))) | (~v113(constB63)) | (~v126(constB63))),
% 14.51/9.73 inference(tautology,[status(thm)],[])).
% 14.51/9.73 tff(10415,plain,
% 14.51/9.73 ((~((~v113(constB63)) | (~v126(constB63)))) | (~v113(constB63))),
% 14.51/9.73 inference(unit_resolution,[status(thm)],[10414, 10413])).
% 14.51/9.73 tff(10416,plain,
% 14.51/9.73 (~((~v113(constB63)) | (~v126(constB63)))),
% 14.51/9.73 inference(unit_resolution,[status(thm)],[10415, 10401])).
% 14.51/9.73 tff(10417,plain,
% 14.51/9.73 ((~(v112(constB63) <=> (~((~v113(constB63)) | (~v126(constB63)))))) | v112(constB63) | ((~v113(constB63)) | (~v126(constB63)))),
% 14.51/9.73 inference(tautology,[status(thm)],[])).
% 14.51/9.73 tff(10418,plain,
% 14.51/9.73 (v112(constB63)),
% 14.51/9.73 inference(unit_resolution,[status(thm)],[10417, 10416, 2077])).
% 14.51/9.73 tff(10419,plain,
% 14.51/9.73 ((v111(constB63) | v112(constB63)) | (~v112(constB63))),
% 14.51/9.73 inference(tautology,[status(thm)],[])).
% 14.51/9.73 tff(10420,plain,
% 14.51/9.73 (v111(constB63) | v112(constB63)),
% 14.51/9.73 inference(unit_resolution,[status(thm)],[10419, 10418])).
% 14.51/9.73 tff(10421,plain,
% 14.51/9.73 ((~(v108(constB63) <=> (v111(constB63) | v112(constB63)))) | v108(constB63) | (~(v111(constB63) | v112(constB63)))),
% 14.51/9.73 inference(tautology,[status(thm)],[])).
% 14.51/9.73 tff(10422,plain,
% 14.51/9.73 (v108(constB63)),
% 14.51/9.73 inference(unit_resolution,[status(thm)],[10421, 10420, 2075])).
% 14.51/9.73 tff(10423,plain,
% 14.51/9.73 ((~(v110(constB64) <=> v108(constB63))) | v110(constB64) | (~v108(constB63))),
% 14.51/9.73 inference(tautology,[status(thm)],[])).
% 14.51/9.73 tff(10424,plain,
% 14.51/9.73 (v110(constB64)),
% 14.51/9.73 inference(unit_resolution,[status(thm)],[10423, 10422, 2073])).
% 14.51/9.73 tff(10425,plain,
% 14.51/9.73 ((~((~v101(constB64)) | (~v110(constB64)))) | (~v101(constB64)) | (~v110(constB64))),
% 14.51/9.73 inference(tautology,[status(thm)],[])).
% 14.51/9.73 tff(10426,plain,
% 14.51/9.73 (~((~v101(constB64)) | (~v110(constB64)))),
% 14.51/9.73 inference(unit_resolution,[status(thm)],[10425, 10424, 2069])).
% 14.51/9.73 tff(10427,plain,
% 14.51/9.73 ((~(v100(constB64) <=> (~((~v101(constB64)) | (~v110(constB64)))))) | v100(constB64) | ((~v101(constB64)) | (~v110(constB64)))),
% 14.51/9.73 inference(tautology,[status(thm)],[])).
% 14.51/9.73 tff(10428,plain,
% 14.51/9.73 (v100(constB64)),
% 14.51/9.73 inference(unit_resolution,[status(thm)],[10427, 10426, 2038])).
% 14.51/9.73 tff(10429,plain,
% 14.51/9.73 (((~![VarNext: $i] : ((~v100(VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v129(VarNext, B))))) | ((~v100(constB64)) | ![B: $i] : ((~less_3(B)) | (v90(constB64, B) <=> v129(constB64, B))))) <=> ((~![VarNext: $i] : ((~v100(VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v129(VarNext, B))))) | (~v100(constB64)) | ![B: $i] : ((~less_3(B)) | (v90(constB64, B) <=> v129(constB64, B))))),
% 14.51/9.73 inference(rewrite,[status(thm)],[])).
% 14.51/9.73 tff(10430,plain,
% 14.51/9.73 ((~![VarNext: $i] : ((~v100(VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v129(VarNext, B))))) | ((~v100(constB64)) | ![B: $i] : ((~less_3(B)) | (v90(constB64, B) <=> v129(constB64, B))))),
% 14.51/9.73 inference(quant_inst,[status(thm)],[])).
% 14.51/9.73 tff(10431,plain,
% 14.51/9.73 ((~![VarNext: $i] : ((~v100(VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v129(VarNext, B))))) | (~v100(constB64)) | ![B: $i] : ((~less_3(B)) | (v90(constB64, B) <=> v129(constB64, B)))),
% 14.51/9.73 inference(modus_ponens,[status(thm)],[10430, 10429])).
% 14.51/9.73 tff(10432,plain,
% 14.51/9.73 ((~v100(constB64)) | ![B: $i] : ((~less_3(B)) | (v90(constB64, B) <=> v129(constB64, B)))),
% 14.51/9.73 inference(unit_resolution,[status(thm)],[10431, 5134])).
% 14.51/9.73 tff(10433,plain,
% 14.51/9.73 (![B: $i] : ((~less_3(B)) | (v90(constB64, B) <=> v129(constB64, B)))),
% 14.51/9.73 inference(unit_resolution,[status(thm)],[10432, 10428])).
% 14.51/9.73 tff(10434,plain,
% 14.51/9.73 (((~![B: $i] : ((~less_3(B)) | (v90(constB64, B) <=> v129(constB64, B)))) | ((~less_3(bitIndex2)) | (v90(constB64, bitIndex2) <=> v129(constB64, bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v90(constB64, B) <=> v129(constB64, B)))) | (~less_3(bitIndex2)) | (v90(constB64, bitIndex2) <=> v129(constB64, bitIndex2)))),
% 14.51/9.73 inference(rewrite,[status(thm)],[])).
% 14.51/9.73 tff(10435,plain,
% 14.51/9.73 ((~![B: $i] : ((~less_3(B)) | (v90(constB64, B) <=> v129(constB64, B)))) | ((~less_3(bitIndex2)) | (v90(constB64, bitIndex2) <=> v129(constB64, bitIndex2)))),
% 14.51/9.73 inference(quant_inst,[status(thm)],[])).
% 14.51/9.73 tff(10436,plain,
% 14.51/9.73 ((~![B: $i] : ((~less_3(B)) | (v90(constB64, B) <=> v129(constB64, B)))) | (~less_3(bitIndex2)) | (v90(constB64, bitIndex2) <=> v129(constB64, bitIndex2))),
% 14.51/9.73 inference(modus_ponens,[status(thm)],[10435, 10434])).
% 14.51/9.73 tff(10437,plain,
% 14.51/9.73 (v90(constB64, bitIndex2) <=> v129(constB64, bitIndex2)),
% 14.51/9.73 inference(unit_resolution,[status(thm)],[10436, 413, 10433])).
% 14.51/9.73 tff(10438,plain,
% 14.51/9.73 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v129(VarNext, B) <=> v127(VarCurr, B))))) | ((~nextState(constB63, constB64)) | ![B: $i] : ((~less_3(B)) | (v129(constB64, B) <=> v127(constB63, B))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v129(VarNext, B) <=> v127(VarCurr, B))))) | (~nextState(constB63, constB64)) | ![B: $i] : ((~less_3(B)) | (v129(constB64, B) <=> v127(constB63, B))))),
% 14.51/9.73 inference(rewrite,[status(thm)],[])).
% 14.51/9.73 tff(10439,plain,
% 14.51/9.73 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v129(VarNext, B) <=> v127(VarCurr, B))))) | ((~nextState(constB63, constB64)) | ![B: $i] : ((~less_3(B)) | (v129(constB64, B) <=> v127(constB63, B))))),
% 14.51/9.73 inference(quant_inst,[status(thm)],[])).
% 14.51/9.73 tff(10440,plain,
% 14.51/9.73 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v129(VarNext, B) <=> v127(VarCurr, B))))) | (~nextState(constB63, constB64)) | ![B: $i] : ((~less_3(B)) | (v129(constB64, B) <=> v127(constB63, B)))),
% 14.51/9.73 inference(modus_ponens,[status(thm)],[10439, 10438])).
% 14.51/9.73 tff(10441,plain,
% 14.51/9.73 (![B: $i] : ((~less_3(B)) | (v129(constB64, B) <=> v127(constB63, B)))),
% 14.51/9.73 inference(unit_resolution,[status(thm)],[10440, 2034, 5156])).
% 14.51/9.73 tff(10442,plain,
% 14.51/9.73 (((~![B: $i] : ((~less_3(B)) | (v129(constB64, B) <=> v127(constB63, B)))) | ((~less_3(bitIndex2)) | (v129(constB64, bitIndex2) <=> v127(constB63, bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v129(constB64, B) <=> v127(constB63, B)))) | (~less_3(bitIndex2)) | (v129(constB64, bitIndex2) <=> v127(constB63, bitIndex2)))),
% 14.51/9.73 inference(rewrite,[status(thm)],[])).
% 14.51/9.73 tff(10443,plain,
% 14.51/9.73 ((~![B: $i] : ((~less_3(B)) | (v129(constB64, B) <=> v127(constB63, B)))) | ((~less_3(bitIndex2)) | (v129(constB64, bitIndex2) <=> v127(constB63, bitIndex2)))),
% 14.51/9.73 inference(quant_inst,[status(thm)],[])).
% 14.51/9.73 tff(10444,plain,
% 14.51/9.73 ((~![B: $i] : ((~less_3(B)) | (v129(constB64, B) <=> v127(constB63, B)))) | (~less_3(bitIndex2)) | (v129(constB64, bitIndex2) <=> v127(constB63, bitIndex2))),
% 14.51/9.73 inference(modus_ponens,[status(thm)],[10443, 10442])).
% 14.51/9.73 tff(10445,plain,
% 14.51/9.73 (v129(constB64, bitIndex2) <=> v127(constB63, bitIndex2)),
% 14.51/9.73 inference(unit_resolution,[status(thm)],[10444, 413, 10441])).
% 14.51/9.73 tff(10446,plain,
% 14.51/9.73 (((~![VarCurr: $i] : (v111(VarCurr) | ![B: $i] : ((~less_3(B)) | (v127(VarCurr, B) <=> v130(VarCurr, B))))) | (v111(constB63) | ![B: $i] : ((~less_3(B)) | (v127(constB63, B) <=> v130(constB63, B))))) <=> ((~![VarCurr: $i] : (v111(VarCurr) | ![B: $i] : ((~less_3(B)) | (v127(VarCurr, B) <=> v130(VarCurr, B))))) | v111(constB63) | ![B: $i] : ((~less_3(B)) | (v127(constB63, B) <=> v130(constB63, B))))),
% 14.51/9.73 inference(rewrite,[status(thm)],[])).
% 14.51/9.73 tff(10447,plain,
% 14.51/9.73 ((~![VarCurr: $i] : (v111(VarCurr) | ![B: $i] : ((~less_3(B)) | (v127(VarCurr, B) <=> v130(VarCurr, B))))) | (v111(constB63) | ![B: $i] : ((~less_3(B)) | (v127(constB63, B) <=> v130(constB63, B))))),
% 14.51/9.73 inference(quant_inst,[status(thm)],[])).
% 14.51/9.73 tff(10448,plain,
% 14.51/9.73 ((~![VarCurr: $i] : (v111(VarCurr) | ![B: $i] : ((~less_3(B)) | (v127(VarCurr, B) <=> v130(VarCurr, B))))) | v111(constB63) | ![B: $i] : ((~less_3(B)) | (v127(constB63, B) <=> v130(constB63, B)))),
% 14.51/9.73 inference(modus_ponens,[status(thm)],[10447, 10446])).
% 14.51/9.73 tff(10449,plain,
% 14.51/9.73 (![B: $i] : ((~less_3(B)) | (v127(constB63, B) <=> v130(constB63, B)))),
% 14.51/9.73 inference(unit_resolution,[status(thm)],[10448, 5177, 10410])).
% 14.51/9.73 tff(10450,plain,
% 14.51/9.73 (((~![B: $i] : ((~less_3(B)) | (v127(constB63, B) <=> v130(constB63, B)))) | ((~less_3(bitIndex2)) | (v127(constB63, bitIndex2) <=> v130(constB63, bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v127(constB63, B) <=> v130(constB63, B)))) | (~less_3(bitIndex2)) | (v127(constB63, bitIndex2) <=> v130(constB63, bitIndex2)))),
% 14.51/9.73 inference(rewrite,[status(thm)],[])).
% 14.51/9.73 tff(10451,plain,
% 14.51/9.73 ((~![B: $i] : ((~less_3(B)) | (v127(constB63, B) <=> v130(constB63, B)))) | ((~less_3(bitIndex2)) | (v127(constB63, bitIndex2) <=> v130(constB63, bitIndex2)))),
% 14.51/9.73 inference(quant_inst,[status(thm)],[])).
% 14.51/9.73 tff(10452,plain,
% 14.51/9.73 ((~![B: $i] : ((~less_3(B)) | (v127(constB63, B) <=> v130(constB63, B)))) | (~less_3(bitIndex2)) | (v127(constB63, bitIndex2) <=> v130(constB63, bitIndex2))),
% 14.51/9.73 inference(modus_ponens,[status(thm)],[10451, 10450])).
% 14.51/9.73 tff(10453,plain,
% 14.51/9.73 (v127(constB63, bitIndex2) <=> v130(constB63, bitIndex2)),
% 14.51/9.73 inference(unit_resolution,[status(thm)],[10452, 413, 10449])).
% 14.51/9.73 tff(10454,plain,
% 14.51/9.73 (((~![VarCurr: $i] : ((~v123(VarCurr)) | ![B: $i] : ((~less_3(B)) | (v130(VarCurr, B) <=> b110(B))))) | ((~v123(constB63)) | ![B: $i] : ((~less_3(B)) | (v130(constB63, B) <=> b110(B))))) <=> ((~![VarCurr: $i] : ((~v123(VarCurr)) | ![B: $i] : ((~less_3(B)) | (v130(VarCurr, B) <=> b110(B))))) | (~v123(constB63)) | ![B: $i] : ((~less_3(B)) | (v130(constB63, B) <=> b110(B))))),
% 14.51/9.73 inference(rewrite,[status(thm)],[])).
% 14.51/9.73 tff(10455,plain,
% 14.51/9.73 ((~![VarCurr: $i] : ((~v123(VarCurr)) | ![B: $i] : ((~less_3(B)) | (v130(VarCurr, B) <=> b110(B))))) | ((~v123(constB63)) | ![B: $i] : ((~less_3(B)) | (v130(constB63, B) <=> b110(B))))),
% 14.51/9.73 inference(quant_inst,[status(thm)],[])).
% 14.51/9.73 tff(10456,plain,
% 14.51/9.73 ((~![VarCurr: $i] : ((~v123(VarCurr)) | ![B: $i] : ((~less_3(B)) | (v130(VarCurr, B) <=> b110(B))))) | (~v123(constB63)) | ![B: $i] : ((~less_3(B)) | (v130(constB63, B) <=> b110(B)))),
% 14.51/9.74 inference(modus_ponens,[status(thm)],[10455, 10454])).
% 14.51/9.74 tff(10457,plain,
% 14.51/9.74 ((~v123(constB63)) | ![B: $i] : ((~less_3(B)) | (v130(constB63, B) <=> b110(B)))),
% 14.51/9.74 inference(unit_resolution,[status(thm)],[10456, 5369])).
% 14.51/9.74 tff(10458,plain,
% 14.51/9.74 (![B: $i] : ((~less_3(B)) | (v130(constB63, B) <=> b110(B)))),
% 14.51/9.74 inference(unit_resolution,[status(thm)],[10457, 10389])).
% 14.51/9.74 tff(10459,plain,
% 14.51/9.74 (((~![B: $i] : ((~less_3(B)) | (v130(constB63, B) <=> b110(B)))) | ((~less_3(bitIndex2)) | (v130(constB63, bitIndex2) <=> b110(bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v130(constB63, B) <=> b110(B)))) | (~less_3(bitIndex2)) | (v130(constB63, bitIndex2) <=> b110(bitIndex2)))),
% 14.51/9.74 inference(rewrite,[status(thm)],[])).
% 14.51/9.74 tff(10460,plain,
% 14.51/9.74 ((~![B: $i] : ((~less_3(B)) | (v130(constB63, B) <=> b110(B)))) | ((~less_3(bitIndex2)) | (v130(constB63, bitIndex2) <=> b110(bitIndex2)))),
% 14.51/9.74 inference(quant_inst,[status(thm)],[])).
% 14.51/9.74 tff(10461,plain,
% 14.51/9.74 ((~![B: $i] : ((~less_3(B)) | (v130(constB63, B) <=> b110(B)))) | (~less_3(bitIndex2)) | (v130(constB63, bitIndex2) <=> b110(bitIndex2))),
% 14.51/9.74 inference(modus_ponens,[status(thm)],[10460, 10459])).
% 14.51/9.74 tff(10462,plain,
% 14.51/9.74 (v130(constB63, bitIndex2) <=> b110(bitIndex2)),
% 14.51/9.74 inference(unit_resolution,[status(thm)],[10461, 413, 10458])).
% 14.51/9.74 tff(10463,plain,
% 14.51/9.74 ((~(v130(constB63, bitIndex2) <=> b110(bitIndex2))) | v130(constB63, bitIndex2) | (~b110(bitIndex2))),
% 14.51/9.74 inference(tautology,[status(thm)],[])).
% 14.51/9.74 tff(10464,plain,
% 14.51/9.74 ((~(v130(constB63, bitIndex2) <=> b110(bitIndex2))) | v130(constB63, bitIndex2)),
% 14.51/9.74 inference(unit_resolution,[status(thm)],[10463, 5381])).
% 14.51/9.74 tff(10465,plain,
% 14.51/9.74 (v130(constB63, bitIndex2)),
% 14.51/9.74 inference(unit_resolution,[status(thm)],[10464, 10462])).
% 14.51/9.74 tff(10466,plain,
% 14.51/9.74 ((~(v127(constB63, bitIndex2) <=> v130(constB63, bitIndex2))) | v127(constB63, bitIndex2) | (~v130(constB63, bitIndex2))),
% 14.51/9.74 inference(tautology,[status(thm)],[])).
% 14.51/9.74 tff(10467,plain,
% 14.51/9.74 (v127(constB63, bitIndex2)),
% 14.51/9.74 inference(unit_resolution,[status(thm)],[10466, 10465, 10453])).
% 14.51/9.74 tff(10468,plain,
% 14.51/9.74 ((~(v129(constB64, bitIndex2) <=> v127(constB63, bitIndex2))) | v129(constB64, bitIndex2) | (~v127(constB63, bitIndex2))),
% 14.51/9.74 inference(tautology,[status(thm)],[])).
% 14.51/9.74 tff(10469,plain,
% 14.51/9.74 (v129(constB64, bitIndex2)),
% 14.51/9.74 inference(unit_resolution,[status(thm)],[10468, 10467, 10445])).
% 14.51/9.74 tff(10470,plain,
% 14.51/9.74 ((~(v90(constB64, bitIndex2) <=> v129(constB64, bitIndex2))) | v90(constB64, bitIndex2) | (~v129(constB64, bitIndex2))),
% 14.51/9.74 inference(tautology,[status(thm)],[])).
% 14.51/9.74 tff(10471,plain,
% 14.51/9.74 (v90(constB64, bitIndex2)),
% 14.51/9.74 inference(unit_resolution,[status(thm)],[10470, 10469, 10437])).
% 14.51/9.74 tff(10472,plain,
% 14.51/9.74 ((~(v90(constB65, bitIndex2) <=> v90(constB64, bitIndex2))) | v90(constB65, bitIndex2) | (~v90(constB64, bitIndex2))),
% 14.51/9.74 inference(tautology,[status(thm)],[])).
% 14.51/9.74 tff(10473,plain,
% 14.51/9.74 (v90(constB65, bitIndex2)),
% 14.51/9.74 inference(unit_resolution,[status(thm)],[10472, 10471, 2031])).
% 14.51/9.74 tff(10474,plain,
% 14.51/9.74 (((~![B: $i] : ((~less_3(B)) | (v90(constB65, B) <=> v90(constB64, B)))) | ((~less_3(bitIndex0)) | (v90(constB65, bitIndex0) <=> v90(constB64, bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v90(constB65, B) <=> v90(constB64, B)))) | (~less_3(bitIndex0)) | (v90(constB65, bitIndex0) <=> v90(constB64, bitIndex0)))),
% 14.51/9.74 inference(rewrite,[status(thm)],[])).
% 14.51/9.74 tff(10475,plain,
% 14.51/9.74 ((~![B: $i] : ((~less_3(B)) | (v90(constB65, B) <=> v90(constB64, B)))) | ((~less_3(bitIndex0)) | (v90(constB65, bitIndex0) <=> v90(constB64, bitIndex0)))),
% 14.51/9.74 inference(quant_inst,[status(thm)],[])).
% 14.51/9.74 tff(10476,plain,
% 14.51/9.74 ((~![B: $i] : ((~less_3(B)) | (v90(constB65, B) <=> v90(constB64, B)))) | (~less_3(bitIndex0)) | (v90(constB65, bitIndex0) <=> v90(constB64, bitIndex0))),
% 14.51/9.74 inference(modus_ponens,[status(thm)],[10475, 10474])).
% 14.51/9.74 tff(10477,plain,
% 14.51/9.74 (v90(constB65, bitIndex0) <=> v90(constB64, bitIndex0)),
% 14.51/9.74 inference(unit_resolution,[status(thm)],[10476, 5004, 2027])).
% 14.51/9.74 tff(10478,plain,
% 14.51/9.74 (((~![B: $i] : ((~less_3(B)) | (v90(constB64, B) <=> v129(constB64, B)))) | ((~less_3(bitIndex0)) | (v90(constB64, bitIndex0) <=> v129(constB64, bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v90(constB64, B) <=> v129(constB64, B)))) | (~less_3(bitIndex0)) | (v90(constB64, bitIndex0) <=> v129(constB64, bitIndex0)))),
% 14.51/9.74 inference(rewrite,[status(thm)],[])).
% 14.51/9.74 tff(10479,plain,
% 14.51/9.74 ((~![B: $i] : ((~less_3(B)) | (v90(constB64, B) <=> v129(constB64, B)))) | ((~less_3(bitIndex0)) | (v90(constB64, bitIndex0) <=> v129(constB64, bitIndex0)))),
% 14.51/9.74 inference(quant_inst,[status(thm)],[])).
% 14.51/9.74 tff(10480,plain,
% 14.51/9.74 ((~![B: $i] : ((~less_3(B)) | (v90(constB64, B) <=> v129(constB64, B)))) | (~less_3(bitIndex0)) | (v90(constB64, bitIndex0) <=> v129(constB64, bitIndex0))),
% 14.51/9.74 inference(modus_ponens,[status(thm)],[10479, 10478])).
% 14.51/9.74 tff(10481,plain,
% 14.51/9.74 (v90(constB64, bitIndex0) <=> v129(constB64, bitIndex0)),
% 14.51/9.74 inference(unit_resolution,[status(thm)],[10480, 5004, 10433])).
% 14.51/9.74 tff(10482,plain,
% 14.51/9.74 (((~![B: $i] : ((~less_3(B)) | (v129(constB64, B) <=> v127(constB63, B)))) | ((~less_3(bitIndex0)) | (v129(constB64, bitIndex0) <=> v127(constB63, bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v129(constB64, B) <=> v127(constB63, B)))) | (~less_3(bitIndex0)) | (v129(constB64, bitIndex0) <=> v127(constB63, bitIndex0)))),
% 14.51/9.74 inference(rewrite,[status(thm)],[])).
% 14.51/9.74 tff(10483,plain,
% 14.51/9.74 ((~![B: $i] : ((~less_3(B)) | (v129(constB64, B) <=> v127(constB63, B)))) | ((~less_3(bitIndex0)) | (v129(constB64, bitIndex0) <=> v127(constB63, bitIndex0)))),
% 14.51/9.74 inference(quant_inst,[status(thm)],[])).
% 14.51/9.74 tff(10484,plain,
% 14.51/9.74 ((~![B: $i] : ((~less_3(B)) | (v129(constB64, B) <=> v127(constB63, B)))) | (~less_3(bitIndex0)) | (v129(constB64, bitIndex0) <=> v127(constB63, bitIndex0))),
% 14.51/9.74 inference(modus_ponens,[status(thm)],[10483, 10482])).
% 14.51/9.74 tff(10485,plain,
% 14.51/9.74 (v129(constB64, bitIndex0) <=> v127(constB63, bitIndex0)),
% 14.51/9.74 inference(unit_resolution,[status(thm)],[10484, 5004, 10441])).
% 14.51/9.74 tff(10486,plain,
% 14.51/9.74 (((~![B: $i] : ((~less_3(B)) | (v127(constB63, B) <=> v130(constB63, B)))) | ((~less_3(bitIndex0)) | (v127(constB63, bitIndex0) <=> v130(constB63, bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v127(constB63, B) <=> v130(constB63, B)))) | (~less_3(bitIndex0)) | (v127(constB63, bitIndex0) <=> v130(constB63, bitIndex0)))),
% 14.51/9.74 inference(rewrite,[status(thm)],[])).
% 14.51/9.74 tff(10487,plain,
% 14.51/9.74 ((~![B: $i] : ((~less_3(B)) | (v127(constB63, B) <=> v130(constB63, B)))) | ((~less_3(bitIndex0)) | (v127(constB63, bitIndex0) <=> v130(constB63, bitIndex0)))),
% 14.51/9.74 inference(quant_inst,[status(thm)],[])).
% 14.51/9.74 tff(10488,plain,
% 14.51/9.74 ((~![B: $i] : ((~less_3(B)) | (v127(constB63, B) <=> v130(constB63, B)))) | (~less_3(bitIndex0)) | (v127(constB63, bitIndex0) <=> v130(constB63, bitIndex0))),
% 14.51/9.74 inference(modus_ponens,[status(thm)],[10487, 10486])).
% 14.51/9.74 tff(10489,plain,
% 14.51/9.74 (v127(constB63, bitIndex0) <=> v130(constB63, bitIndex0)),
% 14.51/9.74 inference(unit_resolution,[status(thm)],[10488, 5004, 10449])).
% 14.51/9.74 tff(10490,plain,
% 14.51/9.74 (((~![B: $i] : ((~less_3(B)) | (v130(constB63, B) <=> b110(B)))) | ((~less_3(bitIndex0)) | (v130(constB63, bitIndex0) <=> b110(bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v130(constB63, B) <=> b110(B)))) | (~less_3(bitIndex0)) | (v130(constB63, bitIndex0) <=> b110(bitIndex0)))),
% 14.51/9.74 inference(rewrite,[status(thm)],[])).
% 14.51/9.74 tff(10491,plain,
% 14.51/9.74 ((~![B: $i] : ((~less_3(B)) | (v130(constB63, B) <=> b110(B)))) | ((~less_3(bitIndex0)) | (v130(constB63, bitIndex0) <=> b110(bitIndex0)))),
% 14.51/9.74 inference(quant_inst,[status(thm)],[])).
% 14.51/9.74 tff(10492,plain,
% 14.51/9.74 ((~![B: $i] : ((~less_3(B)) | (v130(constB63, B) <=> b110(B)))) | (~less_3(bitIndex0)) | (v130(constB63, bitIndex0) <=> b110(bitIndex0))),
% 14.51/9.74 inference(modus_ponens,[status(thm)],[10491, 10490])).
% 14.51/9.74 tff(10493,plain,
% 14.51/9.74 (v130(constB63, bitIndex0) <=> b110(bitIndex0)),
% 14.51/9.74 inference(unit_resolution,[status(thm)],[10492, 5004, 10458])).
% 14.51/9.74 tff(10494,plain,
% 14.51/9.74 ((~(v130(constB63, bitIndex0) <=> b110(bitIndex0))) | (~v130(constB63, bitIndex0)) | b110(bitIndex0)),
% 14.51/9.74 inference(tautology,[status(thm)],[])).
% 14.51/9.74 tff(10495,plain,
% 14.51/9.74 ((~(v130(constB63, bitIndex0) <=> b110(bitIndex0))) | (~v130(constB63, bitIndex0))),
% 14.51/9.74 inference(unit_resolution,[status(thm)],[10494, 5415])).
% 14.51/9.74 tff(10496,plain,
% 14.51/9.74 (~v130(constB63, bitIndex0)),
% 14.51/9.74 inference(unit_resolution,[status(thm)],[10495, 10493])).
% 14.51/9.74 tff(10497,plain,
% 14.51/9.74 ((~(v127(constB63, bitIndex0) <=> v130(constB63, bitIndex0))) | (~v127(constB63, bitIndex0)) | v130(constB63, bitIndex0)),
% 14.51/9.74 inference(tautology,[status(thm)],[])).
% 14.51/9.74 tff(10498,plain,
% 14.51/9.74 (~v127(constB63, bitIndex0)),
% 14.51/9.74 inference(unit_resolution,[status(thm)],[10497, 10496, 10489])).
% 14.51/9.74 tff(10499,plain,
% 14.51/9.74 ((~(v129(constB64, bitIndex0) <=> v127(constB63, bitIndex0))) | (~v129(constB64, bitIndex0)) | v127(constB63, bitIndex0)),
% 14.51/9.74 inference(tautology,[status(thm)],[])).
% 14.51/9.74 tff(10500,plain,
% 14.51/9.74 (~v129(constB64, bitIndex0)),
% 14.51/9.74 inference(unit_resolution,[status(thm)],[10499, 10498, 10485])).
% 14.51/9.74 tff(10501,plain,
% 14.51/9.74 ((~(v90(constB64, bitIndex0) <=> v129(constB64, bitIndex0))) | (~v90(constB64, bitIndex0)) | v129(constB64, bitIndex0)),
% 14.51/9.74 inference(tautology,[status(thm)],[])).
% 14.51/9.74 tff(10502,plain,
% 14.51/9.74 (~v90(constB64, bitIndex0)),
% 14.51/9.74 inference(unit_resolution,[status(thm)],[10501, 10500, 10481])).
% 14.51/9.74 tff(10503,plain,
% 14.51/9.74 ((~(v90(constB65, bitIndex0) <=> v90(constB64, bitIndex0))) | (~v90(constB65, bitIndex0)) | v90(constB64, bitIndex0)),
% 14.51/9.74 inference(tautology,[status(thm)],[])).
% 14.51/9.74 tff(10504,plain,
% 14.51/9.74 (~v90(constB65, bitIndex0)),
% 14.51/9.74 inference(unit_resolution,[status(thm)],[10503, 10502, 10477])).
% 14.51/9.74 tff(10505,plain,
% 14.51/9.74 (((~![B: $i] : ((~less_3(B)) | (v90(constB65, B) <=> v90(constB64, B)))) | ((~less_3(bitIndex1)) | (v90(constB65, bitIndex1) <=> v90(constB64, bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v90(constB65, B) <=> v90(constB64, B)))) | (~less_3(bitIndex1)) | (v90(constB65, bitIndex1) <=> v90(constB64, bitIndex1)))),
% 14.51/9.74 inference(rewrite,[status(thm)],[])).
% 14.51/9.74 tff(10506,plain,
% 14.51/9.74 ((~![B: $i] : ((~less_3(B)) | (v90(constB65, B) <=> v90(constB64, B)))) | ((~less_3(bitIndex1)) | (v90(constB65, bitIndex1) <=> v90(constB64, bitIndex1)))),
% 14.51/9.74 inference(quant_inst,[status(thm)],[])).
% 14.51/9.74 tff(10507,plain,
% 14.51/9.74 ((~![B: $i] : ((~less_3(B)) | (v90(constB65, B) <=> v90(constB64, B)))) | (~less_3(bitIndex1)) | (v90(constB65, bitIndex1) <=> v90(constB64, bitIndex1))),
% 14.51/9.74 inference(modus_ponens,[status(thm)],[10506, 10505])).
% 14.51/9.74 tff(10508,plain,
% 14.51/9.74 (v90(constB65, bitIndex1) <=> v90(constB64, bitIndex1)),
% 14.51/9.74 inference(unit_resolution,[status(thm)],[10507, 5017, 2027])).
% 14.51/9.74 tff(10509,plain,
% 14.51/9.74 (((~![B: $i] : ((~less_3(B)) | (v90(constB64, B) <=> v129(constB64, B)))) | ((~less_3(bitIndex1)) | (v90(constB64, bitIndex1) <=> v129(constB64, bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v90(constB64, B) <=> v129(constB64, B)))) | (~less_3(bitIndex1)) | (v90(constB64, bitIndex1) <=> v129(constB64, bitIndex1)))),
% 14.51/9.74 inference(rewrite,[status(thm)],[])).
% 14.51/9.74 tff(10510,plain,
% 14.51/9.74 ((~![B: $i] : ((~less_3(B)) | (v90(constB64, B) <=> v129(constB64, B)))) | ((~less_3(bitIndex1)) | (v90(constB64, bitIndex1) <=> v129(constB64, bitIndex1)))),
% 14.51/9.74 inference(quant_inst,[status(thm)],[])).
% 14.51/9.74 tff(10511,plain,
% 14.51/9.74 ((~![B: $i] : ((~less_3(B)) | (v90(constB64, B) <=> v129(constB64, B)))) | (~less_3(bitIndex1)) | (v90(constB64, bitIndex1) <=> v129(constB64, bitIndex1))),
% 14.51/9.74 inference(modus_ponens,[status(thm)],[10510, 10509])).
% 14.51/9.74 tff(10512,plain,
% 14.51/9.74 (v90(constB64, bitIndex1) <=> v129(constB64, bitIndex1)),
% 14.51/9.74 inference(unit_resolution,[status(thm)],[10511, 5017, 10433])).
% 14.51/9.74 tff(10513,plain,
% 14.51/9.74 (((~![B: $i] : ((~less_3(B)) | (v129(constB64, B) <=> v127(constB63, B)))) | ((~less_3(bitIndex1)) | (v129(constB64, bitIndex1) <=> v127(constB63, bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v129(constB64, B) <=> v127(constB63, B)))) | (~less_3(bitIndex1)) | (v129(constB64, bitIndex1) <=> v127(constB63, bitIndex1)))),
% 14.51/9.74 inference(rewrite,[status(thm)],[])).
% 14.51/9.74 tff(10514,plain,
% 14.51/9.74 ((~![B: $i] : ((~less_3(B)) | (v129(constB64, B) <=> v127(constB63, B)))) | ((~less_3(bitIndex1)) | (v129(constB64, bitIndex1) <=> v127(constB63, bitIndex1)))),
% 14.51/9.74 inference(quant_inst,[status(thm)],[])).
% 14.51/9.74 tff(10515,plain,
% 14.51/9.74 ((~![B: $i] : ((~less_3(B)) | (v129(constB64, B) <=> v127(constB63, B)))) | (~less_3(bitIndex1)) | (v129(constB64, bitIndex1) <=> v127(constB63, bitIndex1))),
% 14.51/9.75 inference(modus_ponens,[status(thm)],[10514, 10513])).
% 14.51/9.75 tff(10516,plain,
% 14.51/9.75 (v129(constB64, bitIndex1) <=> v127(constB63, bitIndex1)),
% 14.51/9.75 inference(unit_resolution,[status(thm)],[10515, 5017, 10441])).
% 14.51/9.75 tff(10517,plain,
% 14.51/9.75 (((~![B: $i] : ((~less_3(B)) | (v127(constB63, B) <=> v130(constB63, B)))) | ((~less_3(bitIndex1)) | (v127(constB63, bitIndex1) <=> v130(constB63, bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v127(constB63, B) <=> v130(constB63, B)))) | (~less_3(bitIndex1)) | (v127(constB63, bitIndex1) <=> v130(constB63, bitIndex1)))),
% 14.51/9.75 inference(rewrite,[status(thm)],[])).
% 14.51/9.75 tff(10518,plain,
% 14.51/9.75 ((~![B: $i] : ((~less_3(B)) | (v127(constB63, B) <=> v130(constB63, B)))) | ((~less_3(bitIndex1)) | (v127(constB63, bitIndex1) <=> v130(constB63, bitIndex1)))),
% 14.51/9.75 inference(quant_inst,[status(thm)],[])).
% 14.51/9.75 tff(10519,plain,
% 14.51/9.75 ((~![B: $i] : ((~less_3(B)) | (v127(constB63, B) <=> v130(constB63, B)))) | (~less_3(bitIndex1)) | (v127(constB63, bitIndex1) <=> v130(constB63, bitIndex1))),
% 14.51/9.75 inference(modus_ponens,[status(thm)],[10518, 10517])).
% 14.51/9.75 tff(10520,plain,
% 14.51/9.75 (v127(constB63, bitIndex1) <=> v130(constB63, bitIndex1)),
% 14.51/9.75 inference(unit_resolution,[status(thm)],[10519, 5017, 10449])).
% 14.51/9.75 tff(10521,plain,
% 14.51/9.75 (((~![B: $i] : ((~less_3(B)) | (v130(constB63, B) <=> b110(B)))) | ((~less_3(bitIndex1)) | (v130(constB63, bitIndex1) <=> b110(bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v130(constB63, B) <=> b110(B)))) | (~less_3(bitIndex1)) | (v130(constB63, bitIndex1) <=> b110(bitIndex1)))),
% 14.51/9.75 inference(rewrite,[status(thm)],[])).
% 14.51/9.75 tff(10522,plain,
% 14.51/9.75 ((~![B: $i] : ((~less_3(B)) | (v130(constB63, B) <=> b110(B)))) | ((~less_3(bitIndex1)) | (v130(constB63, bitIndex1) <=> b110(bitIndex1)))),
% 14.51/9.75 inference(quant_inst,[status(thm)],[])).
% 14.51/9.75 tff(10523,plain,
% 14.51/9.75 ((~![B: $i] : ((~less_3(B)) | (v130(constB63, B) <=> b110(B)))) | (~less_3(bitIndex1)) | (v130(constB63, bitIndex1) <=> b110(bitIndex1))),
% 14.51/9.75 inference(modus_ponens,[status(thm)],[10522, 10521])).
% 14.51/9.75 tff(10524,plain,
% 14.51/9.75 (v130(constB63, bitIndex1) <=> b110(bitIndex1)),
% 14.51/9.75 inference(unit_resolution,[status(thm)],[10523, 5017, 10458])).
% 14.51/9.75 tff(10525,plain,
% 14.51/9.75 ((~(v130(constB63, bitIndex1) <=> b110(bitIndex1))) | v130(constB63, bitIndex1) | (~b110(bitIndex1))),
% 14.51/9.75 inference(tautology,[status(thm)],[])).
% 14.51/9.75 tff(10526,plain,
% 14.51/9.75 ((~(v130(constB63, bitIndex1) <=> b110(bitIndex1))) | v130(constB63, bitIndex1)),
% 14.51/9.75 inference(unit_resolution,[status(thm)],[10525, 5449])).
% 14.51/9.75 tff(10527,plain,
% 14.51/9.75 (v130(constB63, bitIndex1)),
% 14.51/9.75 inference(unit_resolution,[status(thm)],[10526, 10524])).
% 14.51/9.75 tff(10528,plain,
% 14.51/9.75 ((~(v127(constB63, bitIndex1) <=> v130(constB63, bitIndex1))) | v127(constB63, bitIndex1) | (~v130(constB63, bitIndex1))),
% 14.51/9.75 inference(tautology,[status(thm)],[])).
% 14.51/9.75 tff(10529,plain,
% 14.51/9.75 (v127(constB63, bitIndex1)),
% 14.51/9.75 inference(unit_resolution,[status(thm)],[10528, 10527, 10520])).
% 14.51/9.75 tff(10530,plain,
% 14.51/9.75 ((~(v129(constB64, bitIndex1) <=> v127(constB63, bitIndex1))) | v129(constB64, bitIndex1) | (~v127(constB63, bitIndex1))),
% 14.51/9.75 inference(tautology,[status(thm)],[])).
% 14.51/9.75 tff(10531,plain,
% 14.51/9.75 (v129(constB64, bitIndex1)),
% 14.51/9.75 inference(unit_resolution,[status(thm)],[10530, 10529, 10516])).
% 14.51/9.75 tff(10532,plain,
% 14.51/9.75 ((~(v90(constB64, bitIndex1) <=> v129(constB64, bitIndex1))) | v90(constB64, bitIndex1) | (~v129(constB64, bitIndex1))),
% 14.51/9.75 inference(tautology,[status(thm)],[])).
% 14.51/9.75 tff(10533,plain,
% 14.51/9.75 (v90(constB64, bitIndex1)),
% 14.51/9.75 inference(unit_resolution,[status(thm)],[10532, 10531, 10512])).
% 14.51/9.75 tff(10534,plain,
% 14.51/9.75 ((~(v90(constB65, bitIndex1) <=> v90(constB64, bitIndex1))) | v90(constB65, bitIndex1) | (~v90(constB64, bitIndex1))),
% 14.51/9.75 inference(tautology,[status(thm)],[])).
% 14.51/9.75 tff(10535,plain,
% 14.51/9.75 (v90(constB65, bitIndex1)),
% 14.51/9.75 inference(unit_resolution,[status(thm)],[10534, 10533, 10508])).
% 14.51/9.75 tff(10536,plain,
% 14.51/9.75 ((~((~v90(constB65, bitIndex2)) | (~v90(constB65, bitIndex1)) | v90(constB65, bitIndex0))) | (~v90(constB65, bitIndex2)) | (~v90(constB65, bitIndex1)) | v90(constB65, bitIndex0)),
% 14.51/9.75 inference(tautology,[status(thm)],[])).
% 14.51/9.75 tff(10537,plain,
% 14.51/9.75 (~((~v90(constB65, bitIndex2)) | (~v90(constB65, bitIndex1)) | v90(constB65, bitIndex0))),
% 14.51/9.75 inference(unit_resolution,[status(thm)],[10536, 10535, 10504, 10473])).
% 14.51/9.75 tff(10538,plain,
% 14.51/9.75 ((~(v125(constB65) <=> (~((~v90(constB65, bitIndex2)) | (~v90(constB65, bitIndex1)) | v90(constB65, bitIndex0))))) | v125(constB65) | ((~v90(constB65, bitIndex2)) | (~v90(constB65, bitIndex1)) | v90(constB65, bitIndex0))),
% 14.51/9.75 inference(tautology,[status(thm)],[])).
% 14.51/9.75 tff(10539,plain,
% 14.51/9.75 (v125(constB65)),
% 14.51/9.75 inference(unit_resolution,[status(thm)],[10538, 10537, 1999])).
% 14.51/9.75 tff(10540,plain,
% 14.51/9.75 ((v114(constB65) | v125(constB65)) | (~v125(constB65))),
% 14.51/9.75 inference(tautology,[status(thm)],[])).
% 14.51/9.75 tff(10541,plain,
% 14.51/9.75 (v114(constB65) | v125(constB65)),
% 14.51/9.75 inference(unit_resolution,[status(thm)],[10540, 10539])).
% 14.51/9.75 tff(10542,plain,
% 14.51/9.75 ((~(v113(constB65) <=> (v114(constB65) | v125(constB65)))) | v113(constB65) | (~(v114(constB65) | v125(constB65)))),
% 14.51/9.75 inference(tautology,[status(thm)],[])).
% 14.51/9.75 tff(10543,plain,
% 14.51/9.75 (v113(constB65)),
% 14.51/9.75 inference(unit_resolution,[status(thm)],[10542, 10541, 1992])).
% 14.51/9.75 tff(10544,plain,
% 14.51/9.75 ((~![VarCurr: $i] : ((~v126(VarCurr)) <=> v111(VarCurr))) | ((~v126(constB65)) <=> v111(constB65))),
% 14.51/9.75 inference(quant_inst,[status(thm)],[])).
% 14.51/9.75 tff(10545,plain,
% 14.51/9.75 ((~v126(constB65)) <=> v111(constB65)),
% 14.51/9.75 inference(unit_resolution,[status(thm)],[10544, 5074])).
% 14.51/9.75 tff(10546,plain,
% 14.51/9.75 ((~![VarCurr: $i] : (v111(VarCurr) <=> v26(VarCurr))) | (v111(constB65) <=> v26(constB65))),
% 14.51/9.75 inference(quant_inst,[status(thm)],[])).
% 14.51/9.75 tff(10547,plain,
% 14.51/9.75 (v111(constB65) <=> v26(constB65)),
% 14.51/9.75 inference(unit_resolution,[status(thm)],[10546, 5086])).
% 14.51/9.75 tff(10548,plain,
% 14.51/9.75 ((~![VarCurr: $i] : (~v26(VarCurr))) | (~v26(constB65))),
% 14.51/9.75 inference(quant_inst,[status(thm)],[])).
% 14.51/9.75 tff(10549,plain,
% 14.51/9.75 (~v26(constB65)),
% 14.51/9.75 inference(unit_resolution,[status(thm)],[10548, 5098])).
% 14.51/9.75 tff(10550,plain,
% 14.51/9.75 ((~(v111(constB65) <=> v26(constB65))) | (~v111(constB65)) | v26(constB65)),
% 14.51/9.75 inference(tautology,[status(thm)],[])).
% 14.51/9.75 tff(10551,plain,
% 14.51/9.75 ((~(v111(constB65) <=> v26(constB65))) | (~v111(constB65))),
% 14.51/9.75 inference(unit_resolution,[status(thm)],[10550, 10549])).
% 14.51/9.75 tff(10552,plain,
% 14.51/9.75 (~v111(constB65)),
% 14.51/9.75 inference(unit_resolution,[status(thm)],[10551, 10547])).
% 14.51/9.75 tff(10553,plain,
% 14.51/9.75 ((~((~v126(constB65)) <=> v111(constB65))) | v126(constB65) | v111(constB65)),
% 14.51/9.75 inference(tautology,[status(thm)],[])).
% 14.51/9.75 tff(10554,plain,
% 14.51/9.75 ((~((~v126(constB65)) <=> v111(constB65))) | v126(constB65)),
% 14.51/9.75 inference(unit_resolution,[status(thm)],[10553, 10552])).
% 14.51/9.75 tff(10555,plain,
% 14.51/9.75 (v126(constB65)),
% 14.51/9.75 inference(unit_resolution,[status(thm)],[10554, 10545])).
% 14.51/9.75 tff(10556,plain,
% 14.51/9.75 ((~((~v113(constB65)) | (~v126(constB65)))) | (~v113(constB65)) | (~v126(constB65))),
% 14.51/9.75 inference(tautology,[status(thm)],[])).
% 14.51/9.75 tff(10557,plain,
% 14.51/9.75 ((~((~v113(constB65)) | (~v126(constB65)))) | (~v113(constB65))),
% 14.51/9.75 inference(unit_resolution,[status(thm)],[10556, 10555])).
% 14.51/9.75 tff(10558,plain,
% 14.51/9.75 (~((~v113(constB65)) | (~v126(constB65)))),
% 14.51/9.75 inference(unit_resolution,[status(thm)],[10557, 10543])).
% 14.51/9.75 tff(10559,plain,
% 14.51/9.75 ((~(v112(constB65) <=> (~((~v113(constB65)) | (~v126(constB65)))))) | v112(constB65) | ((~v113(constB65)) | (~v126(constB65)))),
% 14.51/9.75 inference(tautology,[status(thm)],[])).
% 14.51/9.75 tff(10560,plain,
% 14.51/9.75 (v112(constB65)),
% 14.51/9.75 inference(unit_resolution,[status(thm)],[10559, 10558, 1990])).
% 14.51/9.75 tff(10561,plain,
% 14.51/9.75 ((v111(constB65) | v112(constB65)) | (~v112(constB65))),
% 14.51/9.75 inference(tautology,[status(thm)],[])).
% 14.51/9.75 tff(10562,plain,
% 14.51/9.75 (v111(constB65) | v112(constB65)),
% 14.51/9.75 inference(unit_resolution,[status(thm)],[10561, 10560])).
% 14.51/9.75 tff(10563,plain,
% 14.51/9.75 ((~(v108(constB65) <=> (v111(constB65) | v112(constB65)))) | v108(constB65) | (~(v111(constB65) | v112(constB65)))),
% 14.51/9.75 inference(tautology,[status(thm)],[])).
% 14.51/9.75 tff(10564,plain,
% 14.51/9.75 (v108(constB65)),
% 14.51/9.75 inference(unit_resolution,[status(thm)],[10563, 10562, 1988])).
% 14.51/9.75 tff(10565,plain,
% 14.51/9.75 ((~(v110(constB66) <=> v108(constB65))) | v110(constB66) | (~v108(constB65))),
% 14.51/9.75 inference(tautology,[status(thm)],[])).
% 14.51/9.75 tff(10566,plain,
% 14.51/9.75 (v110(constB66)),
% 14.51/9.75 inference(unit_resolution,[status(thm)],[10565, 10564, 1986])).
% 14.51/9.75 tff(10567,plain,
% 14.51/9.75 ((~((~v101(constB66)) | (~v110(constB66)))) | (~v101(constB66)) | (~v110(constB66))),
% 14.51/9.75 inference(tautology,[status(thm)],[])).
% 14.51/9.75 tff(10568,plain,
% 14.51/9.75 (~((~v101(constB66)) | (~v110(constB66)))),
% 14.51/9.75 inference(unit_resolution,[status(thm)],[10567, 10566, 1982])).
% 14.51/9.75 tff(10569,plain,
% 14.51/9.75 ((~(v100(constB66) <=> (~((~v101(constB66)) | (~v110(constB66)))))) | v100(constB66) | ((~v101(constB66)) | (~v110(constB66)))),
% 14.51/9.75 inference(tautology,[status(thm)],[])).
% 14.51/9.75 tff(10570,plain,
% 14.51/9.75 (v100(constB66)),
% 14.51/9.75 inference(unit_resolution,[status(thm)],[10569, 10568, 1951])).
% 14.51/9.75 tff(10571,plain,
% 14.51/9.75 (((~![VarNext: $i] : ((~v100(VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v129(VarNext, B))))) | ((~v100(constB66)) | ![B: $i] : ((~less_3(B)) | (v90(constB66, B) <=> v129(constB66, B))))) <=> ((~![VarNext: $i] : ((~v100(VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v129(VarNext, B))))) | (~v100(constB66)) | ![B: $i] : ((~less_3(B)) | (v90(constB66, B) <=> v129(constB66, B))))),
% 14.51/9.75 inference(rewrite,[status(thm)],[])).
% 14.51/9.75 tff(10572,plain,
% 14.51/9.75 ((~![VarNext: $i] : ((~v100(VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v129(VarNext, B))))) | ((~v100(constB66)) | ![B: $i] : ((~less_3(B)) | (v90(constB66, B) <=> v129(constB66, B))))),
% 14.51/9.75 inference(quant_inst,[status(thm)],[])).
% 14.51/9.75 tff(10573,plain,
% 14.51/9.75 ((~![VarNext: $i] : ((~v100(VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v129(VarNext, B))))) | (~v100(constB66)) | ![B: $i] : ((~less_3(B)) | (v90(constB66, B) <=> v129(constB66, B)))),
% 14.51/9.75 inference(modus_ponens,[status(thm)],[10572, 10571])).
% 14.51/9.75 tff(10574,plain,
% 14.51/9.75 ((~v100(constB66)) | ![B: $i] : ((~less_3(B)) | (v90(constB66, B) <=> v129(constB66, B)))),
% 14.51/9.75 inference(unit_resolution,[status(thm)],[10573, 5134])).
% 14.51/9.75 tff(10575,plain,
% 14.51/9.75 (![B: $i] : ((~less_3(B)) | (v90(constB66, B) <=> v129(constB66, B)))),
% 14.51/9.75 inference(unit_resolution,[status(thm)],[10574, 10570])).
% 14.51/9.75 tff(10576,plain,
% 14.51/9.75 (((~![B: $i] : ((~less_3(B)) | (v90(constB66, B) <=> v129(constB66, B)))) | ((~less_3(bitIndex2)) | (v90(constB66, bitIndex2) <=> v129(constB66, bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v90(constB66, B) <=> v129(constB66, B)))) | (~less_3(bitIndex2)) | (v90(constB66, bitIndex2) <=> v129(constB66, bitIndex2)))),
% 14.51/9.75 inference(rewrite,[status(thm)],[])).
% 14.51/9.75 tff(10577,plain,
% 14.51/9.75 ((~![B: $i] : ((~less_3(B)) | (v90(constB66, B) <=> v129(constB66, B)))) | ((~less_3(bitIndex2)) | (v90(constB66, bitIndex2) <=> v129(constB66, bitIndex2)))),
% 14.51/9.75 inference(quant_inst,[status(thm)],[])).
% 14.51/9.75 tff(10578,plain,
% 14.51/9.75 ((~![B: $i] : ((~less_3(B)) | (v90(constB66, B) <=> v129(constB66, B)))) | (~less_3(bitIndex2)) | (v90(constB66, bitIndex2) <=> v129(constB66, bitIndex2))),
% 14.51/9.75 inference(modus_ponens,[status(thm)],[10577, 10576])).
% 14.51/9.75 tff(10579,plain,
% 14.51/9.75 (v90(constB66, bitIndex2) <=> v129(constB66, bitIndex2)),
% 14.51/9.75 inference(unit_resolution,[status(thm)],[10578, 413, 10575])).
% 14.51/9.75 tff(10580,plain,
% 14.51/9.75 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v129(VarNext, B) <=> v127(VarCurr, B))))) | ((~nextState(constB65, constB66)) | ![B: $i] : ((~less_3(B)) | (v129(constB66, B) <=> v127(constB65, B))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v129(VarNext, B) <=> v127(VarCurr, B))))) | (~nextState(constB65, constB66)) | ![B: $i] : ((~less_3(B)) | (v129(constB66, B) <=> v127(constB65, B))))),
% 14.51/9.75 inference(rewrite,[status(thm)],[])).
% 14.51/9.75 tff(10581,plain,
% 14.51/9.75 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v129(VarNext, B) <=> v127(VarCurr, B))))) | ((~nextState(constB65, constB66)) | ![B: $i] : ((~less_3(B)) | (v129(constB66, B) <=> v127(constB65, B))))),
% 14.51/9.75 inference(quant_inst,[status(thm)],[])).
% 14.51/9.75 tff(10582,plain,
% 14.51/9.75 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v129(VarNext, B) <=> v127(VarCurr, B))))) | (~nextState(constB65, constB66)) | ![B: $i] : ((~less_3(B)) | (v129(constB66, B) <=> v127(constB65, B)))),
% 14.51/9.75 inference(modus_ponens,[status(thm)],[10581, 10580])).
% 14.51/9.75 tff(10583,plain,
% 14.51/9.75 (![B: $i] : ((~less_3(B)) | (v129(constB66, B) <=> v127(constB65, B)))),
% 14.51/9.75 inference(unit_resolution,[status(thm)],[10582, 1947, 5156])).
% 14.51/9.75 tff(10584,plain,
% 14.51/9.75 (((~![B: $i] : ((~less_3(B)) | (v129(constB66, B) <=> v127(constB65, B)))) | ((~less_3(bitIndex2)) | (v129(constB66, bitIndex2) <=> v127(constB65, bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v129(constB66, B) <=> v127(constB65, B)))) | (~less_3(bitIndex2)) | (v129(constB66, bitIndex2) <=> v127(constB65, bitIndex2)))),
% 14.51/9.75 inference(rewrite,[status(thm)],[])).
% 14.51/9.75 tff(10585,plain,
% 14.51/9.75 ((~![B: $i] : ((~less_3(B)) | (v129(constB66, B) <=> v127(constB65, B)))) | ((~less_3(bitIndex2)) | (v129(constB66, bitIndex2) <=> v127(constB65, bitIndex2)))),
% 14.51/9.75 inference(quant_inst,[status(thm)],[])).
% 14.51/9.75 tff(10586,plain,
% 14.51/9.75 ((~![B: $i] : ((~less_3(B)) | (v129(constB66, B) <=> v127(constB65, B)))) | (~less_3(bitIndex2)) | (v129(constB66, bitIndex2) <=> v127(constB65, bitIndex2))),
% 14.51/9.75 inference(modus_ponens,[status(thm)],[10585, 10584])).
% 14.51/9.75 tff(10587,plain,
% 14.51/9.75 (v129(constB66, bitIndex2) <=> v127(constB65, bitIndex2)),
% 14.51/9.75 inference(unit_resolution,[status(thm)],[10586, 413, 10583])).
% 14.51/9.75 tff(10588,plain,
% 14.51/9.75 (((~![VarCurr: $i] : (v111(VarCurr) | ![B: $i] : ((~less_3(B)) | (v127(VarCurr, B) <=> v130(VarCurr, B))))) | (v111(constB65) | ![B: $i] : ((~less_3(B)) | (v127(constB65, B) <=> v130(constB65, B))))) <=> ((~![VarCurr: $i] : (v111(VarCurr) | ![B: $i] : ((~less_3(B)) | (v127(VarCurr, B) <=> v130(VarCurr, B))))) | v111(constB65) | ![B: $i] : ((~less_3(B)) | (v127(constB65, B) <=> v130(constB65, B))))),
% 14.51/9.75 inference(rewrite,[status(thm)],[])).
% 14.51/9.75 tff(10589,plain,
% 14.51/9.75 ((~![VarCurr: $i] : (v111(VarCurr) | ![B: $i] : ((~less_3(B)) | (v127(VarCurr, B) <=> v130(VarCurr, B))))) | (v111(constB65) | ![B: $i] : ((~less_3(B)) | (v127(constB65, B) <=> v130(constB65, B))))),
% 14.51/9.75 inference(quant_inst,[status(thm)],[])).
% 14.51/9.75 tff(10590,plain,
% 14.51/9.75 ((~![VarCurr: $i] : (v111(VarCurr) | ![B: $i] : ((~less_3(B)) | (v127(VarCurr, B) <=> v130(VarCurr, B))))) | v111(constB65) | ![B: $i] : ((~less_3(B)) | (v127(constB65, B) <=> v130(constB65, B)))),
% 14.51/9.75 inference(modus_ponens,[status(thm)],[10589, 10588])).
% 14.51/9.75 tff(10591,plain,
% 14.51/9.75 (![B: $i] : ((~less_3(B)) | (v127(constB65, B) <=> v130(constB65, B)))),
% 14.51/9.75 inference(unit_resolution,[status(thm)],[10590, 5177, 10552])).
% 14.51/9.75 tff(10592,plain,
% 14.51/9.75 (((~![B: $i] : ((~less_3(B)) | (v127(constB65, B) <=> v130(constB65, B)))) | ((~less_3(bitIndex2)) | (v127(constB65, bitIndex2) <=> v130(constB65, bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v127(constB65, B) <=> v130(constB65, B)))) | (~less_3(bitIndex2)) | (v127(constB65, bitIndex2) <=> v130(constB65, bitIndex2)))),
% 14.51/9.75 inference(rewrite,[status(thm)],[])).
% 14.51/9.75 tff(10593,plain,
% 14.51/9.75 ((~![B: $i] : ((~less_3(B)) | (v127(constB65, B) <=> v130(constB65, B)))) | ((~less_3(bitIndex2)) | (v127(constB65, bitIndex2) <=> v130(constB65, bitIndex2)))),
% 14.51/9.75 inference(quant_inst,[status(thm)],[])).
% 14.51/9.75 tff(10594,plain,
% 14.51/9.75 ((~![B: $i] : ((~less_3(B)) | (v127(constB65, B) <=> v130(constB65, B)))) | (~less_3(bitIndex2)) | (v127(constB65, bitIndex2) <=> v130(constB65, bitIndex2))),
% 14.51/9.75 inference(modus_ponens,[status(thm)],[10593, 10592])).
% 14.51/9.75 tff(10595,plain,
% 14.51/9.75 (v127(constB65, bitIndex2) <=> v130(constB65, bitIndex2)),
% 14.51/9.75 inference(unit_resolution,[status(thm)],[10594, 413, 10591])).
% 14.51/9.75 tff(10596,plain,
% 14.51/9.75 ((~![VarCurr: $i] : (v119(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))))) | (v119(constB65) <=> (~(v90(constB65, bitIndex0) | v90(constB65, bitIndex1) | v90(constB65, bitIndex2))))),
% 14.51/9.75 inference(quant_inst,[status(thm)],[])).
% 14.51/9.75 tff(10597,plain,
% 14.51/9.75 (v119(constB65) <=> (~(v90(constB65, bitIndex0) | v90(constB65, bitIndex1) | v90(constB65, bitIndex2)))),
% 14.51/9.75 inference(unit_resolution,[status(thm)],[10596, 4971])).
% 14.51/9.75 tff(10598,plain,
% 14.51/9.75 ((v90(constB65, bitIndex0) | v90(constB65, bitIndex1) | v90(constB65, bitIndex2)) | (~v90(constB65, bitIndex2))),
% 14.51/9.75 inference(tautology,[status(thm)],[])).
% 14.51/9.75 tff(10599,plain,
% 14.51/9.75 (v90(constB65, bitIndex0) | v90(constB65, bitIndex1) | v90(constB65, bitIndex2)),
% 14.51/9.76 inference(unit_resolution,[status(thm)],[10598, 10473])).
% 14.51/9.76 tff(10600,plain,
% 14.51/9.76 ((~(v119(constB65) <=> (~(v90(constB65, bitIndex0) | v90(constB65, bitIndex1) | v90(constB65, bitIndex2))))) | (~v119(constB65)) | (~(v90(constB65, bitIndex0) | v90(constB65, bitIndex1) | v90(constB65, bitIndex2)))),
% 14.51/9.76 inference(tautology,[status(thm)],[])).
% 14.51/9.76 tff(10601,plain,
% 14.51/9.76 (~v119(constB65)),
% 14.51/9.76 inference(unit_resolution,[status(thm)],[10600, 10599, 10597])).
% 14.51/9.76 tff(10602,plain,
% 14.51/9.76 (((~![VarCurr: $i] : (v124(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex2)))))) | (v124(constB65) <=> (~((~v90(constB65, bitIndex2)) | v90(constB65, bitIndex1) | (~v90(constB65, bitIndex0)))))) <=> ((~![VarCurr: $i] : (v124(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex2)))))) | (v124(constB65) <=> (~((~v90(constB65, bitIndex2)) | v90(constB65, bitIndex1) | (~v90(constB65, bitIndex0))))))),
% 14.51/9.76 inference(rewrite,[status(thm)],[])).
% 14.51/9.76 tff(10603,plain,
% 14.51/9.76 ((v124(constB65) <=> (~(v90(constB65, bitIndex1) | (~v90(constB65, bitIndex0)) | (~v90(constB65, bitIndex2))))) <=> (v124(constB65) <=> (~((~v90(constB65, bitIndex2)) | v90(constB65, bitIndex1) | (~v90(constB65, bitIndex0)))))),
% 14.51/9.76 inference(rewrite,[status(thm)],[])).
% 14.51/9.76 tff(10604,plain,
% 14.51/9.76 (((~![VarCurr: $i] : (v124(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex2)))))) | (v124(constB65) <=> (~(v90(constB65, bitIndex1) | (~v90(constB65, bitIndex0)) | (~v90(constB65, bitIndex2)))))) <=> ((~![VarCurr: $i] : (v124(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex2)))))) | (v124(constB65) <=> (~((~v90(constB65, bitIndex2)) | v90(constB65, bitIndex1) | (~v90(constB65, bitIndex0))))))),
% 14.51/9.76 inference(monotonicity,[status(thm)],[10603])).
% 14.51/9.76 tff(10605,plain,
% 14.51/9.76 (((~![VarCurr: $i] : (v124(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex2)))))) | (v124(constB65) <=> (~(v90(constB65, bitIndex1) | (~v90(constB65, bitIndex0)) | (~v90(constB65, bitIndex2)))))) <=> ((~![VarCurr: $i] : (v124(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex2)))))) | (v124(constB65) <=> (~((~v90(constB65, bitIndex2)) | v90(constB65, bitIndex1) | (~v90(constB65, bitIndex0))))))),
% 14.51/9.76 inference(transitivity,[status(thm)],[10604, 10602])).
% 14.51/9.76 tff(10606,plain,
% 14.51/9.76 ((~![VarCurr: $i] : (v124(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex2)))))) | (v124(constB65) <=> (~(v90(constB65, bitIndex1) | (~v90(constB65, bitIndex0)) | (~v90(constB65, bitIndex2)))))),
% 14.51/9.76 inference(quant_inst,[status(thm)],[])).
% 14.51/9.76 tff(10607,plain,
% 14.51/9.76 ((~![VarCurr: $i] : (v124(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex2)))))) | (v124(constB65) <=> (~((~v90(constB65, bitIndex2)) | v90(constB65, bitIndex1) | (~v90(constB65, bitIndex0)))))),
% 14.51/9.76 inference(modus_ponens,[status(thm)],[10606, 10605])).
% 14.51/9.76 tff(10608,plain,
% 14.51/9.76 (v124(constB65) <=> (~((~v90(constB65, bitIndex2)) | v90(constB65, bitIndex1) | (~v90(constB65, bitIndex0))))),
% 14.51/9.76 inference(unit_resolution,[status(thm)],[10607, 5539])).
% 14.51/9.76 tff(10609,plain,
% 14.51/9.76 (((~v90(constB65, bitIndex2)) | v90(constB65, bitIndex1) | (~v90(constB65, bitIndex0))) | (~v90(constB65, bitIndex1))),
% 14.51/9.76 inference(tautology,[status(thm)],[])).
% 14.51/9.76 tff(10610,plain,
% 14.51/9.76 ((~v90(constB65, bitIndex2)) | v90(constB65, bitIndex1) | (~v90(constB65, bitIndex0))),
% 14.51/9.76 inference(unit_resolution,[status(thm)],[10609, 10535])).
% 14.51/9.76 tff(10611,plain,
% 14.51/9.76 ((~(v124(constB65) <=> (~((~v90(constB65, bitIndex2)) | v90(constB65, bitIndex1) | (~v90(constB65, bitIndex0)))))) | (~v124(constB65)) | (~((~v90(constB65, bitIndex2)) | v90(constB65, bitIndex1) | (~v90(constB65, bitIndex0))))),
% 14.51/9.76 inference(tautology,[status(thm)],[])).
% 14.51/9.76 tff(10612,plain,
% 14.51/9.76 (~v124(constB65)),
% 14.51/9.76 inference(unit_resolution,[status(thm)],[10611, 10610, 10608])).
% 14.51/9.76 tff(10613,plain,
% 14.51/9.76 (((~![VarCurr: $i] : (v123(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)))))) | (v123(constB65) <=> (~((~v90(constB65, bitIndex2)) | v90(constB65, bitIndex1) | v90(constB65, bitIndex0))))) <=> ((~![VarCurr: $i] : (v123(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)))))) | (v123(constB65) <=> (~((~v90(constB65, bitIndex2)) | v90(constB65, bitIndex1) | v90(constB65, bitIndex0)))))),
% 14.51/9.76 inference(rewrite,[status(thm)],[])).
% 14.51/9.76 tff(10614,plain,
% 14.51/9.76 ((v123(constB65) <=> (~(v90(constB65, bitIndex0) | v90(constB65, bitIndex1) | (~v90(constB65, bitIndex2))))) <=> (v123(constB65) <=> (~((~v90(constB65, bitIndex2)) | v90(constB65, bitIndex1) | v90(constB65, bitIndex0))))),
% 14.51/9.76 inference(rewrite,[status(thm)],[])).
% 14.51/9.76 tff(10615,plain,
% 14.51/9.76 (((~![VarCurr: $i] : (v123(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)))))) | (v123(constB65) <=> (~(v90(constB65, bitIndex0) | v90(constB65, bitIndex1) | (~v90(constB65, bitIndex2)))))) <=> ((~![VarCurr: $i] : (v123(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)))))) | (v123(constB65) <=> (~((~v90(constB65, bitIndex2)) | v90(constB65, bitIndex1) | v90(constB65, bitIndex0)))))),
% 14.51/9.76 inference(monotonicity,[status(thm)],[10614])).
% 14.51/9.76 tff(10616,plain,
% 14.51/9.76 (((~![VarCurr: $i] : (v123(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)))))) | (v123(constB65) <=> (~(v90(constB65, bitIndex0) | v90(constB65, bitIndex1) | (~v90(constB65, bitIndex2)))))) <=> ((~![VarCurr: $i] : (v123(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)))))) | (v123(constB65) <=> (~((~v90(constB65, bitIndex2)) | v90(constB65, bitIndex1) | v90(constB65, bitIndex0)))))),
% 14.51/9.76 inference(transitivity,[status(thm)],[10615, 10613])).
% 14.51/9.76 tff(10617,plain,
% 14.51/9.76 ((~![VarCurr: $i] : (v123(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)))))) | (v123(constB65) <=> (~(v90(constB65, bitIndex0) | v90(constB65, bitIndex1) | (~v90(constB65, bitIndex2)))))),
% 14.51/9.76 inference(quant_inst,[status(thm)],[])).
% 14.51/9.76 tff(10618,plain,
% 14.51/9.76 ((~![VarCurr: $i] : (v123(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)))))) | (v123(constB65) <=> (~((~v90(constB65, bitIndex2)) | v90(constB65, bitIndex1) | v90(constB65, bitIndex0))))),
% 14.51/9.76 inference(modus_ponens,[status(thm)],[10617, 10616])).
% 14.51/9.76 tff(10619,plain,
% 14.51/9.76 (v123(constB65) <=> (~((~v90(constB65, bitIndex2)) | v90(constB65, bitIndex1) | v90(constB65, bitIndex0)))),
% 14.51/9.76 inference(unit_resolution,[status(thm)],[10618, 621])).
% 14.51/9.76 tff(10620,plain,
% 14.51/9.76 (((~v90(constB65, bitIndex2)) | v90(constB65, bitIndex1) | v90(constB65, bitIndex0)) | (~v90(constB65, bitIndex1))),
% 14.51/9.76 inference(tautology,[status(thm)],[])).
% 14.51/9.76 tff(10621,plain,
% 14.51/9.76 ((~v90(constB65, bitIndex2)) | v90(constB65, bitIndex1) | v90(constB65, bitIndex0)),
% 14.51/9.76 inference(unit_resolution,[status(thm)],[10620, 10535])).
% 14.51/9.76 tff(10622,plain,
% 14.51/9.76 ((~(v123(constB65) <=> (~((~v90(constB65, bitIndex2)) | v90(constB65, bitIndex1) | v90(constB65, bitIndex0))))) | (~v123(constB65)) | (~((~v90(constB65, bitIndex2)) | v90(constB65, bitIndex1) | v90(constB65, bitIndex0)))),
% 14.51/9.76 inference(tautology,[status(thm)],[])).
% 14.51/9.76 tff(10623,plain,
% 14.51/9.76 (~v123(constB65)),
% 14.51/9.76 inference(unit_resolution,[status(thm)],[10622, 10621, 10619])).
% 14.51/9.76 tff(10624,plain,
% 14.51/9.76 (((~![VarCurr: $i] : (v122(VarCurr) <=> (~(v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)))))) | (v122(constB65) <=> (~(v90(constB65, bitIndex2) | (~v90(constB65, bitIndex1)) | (~v90(constB65, bitIndex0)))))) <=> ((~![VarCurr: $i] : (v122(VarCurr) <=> (~(v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)))))) | (v122(constB65) <=> (~(v90(constB65, bitIndex2) | (~v90(constB65, bitIndex1)) | (~v90(constB65, bitIndex0))))))),
% 14.51/9.76 inference(rewrite,[status(thm)],[])).
% 14.51/9.76 tff(10625,plain,
% 14.51/9.76 ((v122(constB65) <=> (~(v90(constB65, bitIndex2) | (~v90(constB65, bitIndex0)) | (~v90(constB65, bitIndex1))))) <=> (v122(constB65) <=> (~(v90(constB65, bitIndex2) | (~v90(constB65, bitIndex1)) | (~v90(constB65, bitIndex0)))))),
% 14.51/9.76 inference(rewrite,[status(thm)],[])).
% 14.51/9.76 tff(10626,plain,
% 14.51/9.76 (((~![VarCurr: $i] : (v122(VarCurr) <=> (~(v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)))))) | (v122(constB65) <=> (~(v90(constB65, bitIndex2) | (~v90(constB65, bitIndex0)) | (~v90(constB65, bitIndex1)))))) <=> ((~![VarCurr: $i] : (v122(VarCurr) <=> (~(v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)))))) | (v122(constB65) <=> (~(v90(constB65, bitIndex2) | (~v90(constB65, bitIndex1)) | (~v90(constB65, bitIndex0))))))),
% 14.51/9.76 inference(monotonicity,[status(thm)],[10625])).
% 14.51/9.76 tff(10627,plain,
% 14.51/9.76 (((~![VarCurr: $i] : (v122(VarCurr) <=> (~(v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)))))) | (v122(constB65) <=> (~(v90(constB65, bitIndex2) | (~v90(constB65, bitIndex0)) | (~v90(constB65, bitIndex1)))))) <=> ((~![VarCurr: $i] : (v122(VarCurr) <=> (~(v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)))))) | (v122(constB65) <=> (~(v90(constB65, bitIndex2) | (~v90(constB65, bitIndex1)) | (~v90(constB65, bitIndex0))))))),
% 14.51/9.76 inference(transitivity,[status(thm)],[10626, 10624])).
% 14.51/9.76 tff(10628,plain,
% 14.51/9.76 ((~![VarCurr: $i] : (v122(VarCurr) <=> (~(v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)))))) | (v122(constB65) <=> (~(v90(constB65, bitIndex2) | (~v90(constB65, bitIndex0)) | (~v90(constB65, bitIndex1)))))),
% 14.51/9.76 inference(quant_inst,[status(thm)],[])).
% 14.51/9.76 tff(10629,plain,
% 14.51/9.76 ((~![VarCurr: $i] : (v122(VarCurr) <=> (~(v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)))))) | (v122(constB65) <=> (~(v90(constB65, bitIndex2) | (~v90(constB65, bitIndex1)) | (~v90(constB65, bitIndex0)))))),
% 14.51/9.76 inference(modus_ponens,[status(thm)],[10628, 10627])).
% 14.51/9.76 tff(10630,plain,
% 14.51/9.76 (v122(constB65) <=> (~(v90(constB65, bitIndex2) | (~v90(constB65, bitIndex1)) | (~v90(constB65, bitIndex0))))),
% 14.51/9.76 inference(unit_resolution,[status(thm)],[10629, 734])).
% 14.51/9.76 tff(10631,plain,
% 14.51/9.76 ((v90(constB65, bitIndex2) | (~v90(constB65, bitIndex1)) | (~v90(constB65, bitIndex0))) | (~v90(constB65, bitIndex2))),
% 14.51/9.76 inference(tautology,[status(thm)],[])).
% 14.51/9.76 tff(10632,plain,
% 14.51/9.76 (v90(constB65, bitIndex2) | (~v90(constB65, bitIndex1)) | (~v90(constB65, bitIndex0))),
% 14.51/9.76 inference(unit_resolution,[status(thm)],[10631, 10473])).
% 14.51/9.76 tff(10633,plain,
% 14.51/9.76 ((~(v122(constB65) <=> (~(v90(constB65, bitIndex2) | (~v90(constB65, bitIndex1)) | (~v90(constB65, bitIndex0)))))) | (~v122(constB65)) | (~(v90(constB65, bitIndex2) | (~v90(constB65, bitIndex1)) | (~v90(constB65, bitIndex0))))),
% 14.51/9.76 inference(tautology,[status(thm)],[])).
% 14.51/9.76 tff(10634,plain,
% 14.51/9.76 (~v122(constB65)),
% 14.51/9.76 inference(unit_resolution,[status(thm)],[10633, 10632, 10630])).
% 14.51/9.76 tff(10635,plain,
% 14.51/9.76 (((~![VarCurr: $i] : (v121(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex1)))))) | (v121(constB65) <=> (~(v90(constB65, bitIndex2) | (~v90(constB65, bitIndex1)) | v90(constB65, bitIndex0))))) <=> ((~![VarCurr: $i] : (v121(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex1)))))) | (v121(constB65) <=> (~(v90(constB65, bitIndex2) | (~v90(constB65, bitIndex1)) | v90(constB65, bitIndex0)))))),
% 14.51/9.76 inference(rewrite,[status(thm)],[])).
% 14.51/9.76 tff(10636,plain,
% 14.51/9.76 ((v121(constB65) <=> (~(v90(constB65, bitIndex0) | v90(constB65, bitIndex2) | (~v90(constB65, bitIndex1))))) <=> (v121(constB65) <=> (~(v90(constB65, bitIndex2) | (~v90(constB65, bitIndex1)) | v90(constB65, bitIndex0))))),
% 14.51/9.76 inference(rewrite,[status(thm)],[])).
% 14.51/9.76 tff(10637,plain,
% 14.51/9.76 (((~![VarCurr: $i] : (v121(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex1)))))) | (v121(constB65) <=> (~(v90(constB65, bitIndex0) | v90(constB65, bitIndex2) | (~v90(constB65, bitIndex1)))))) <=> ((~![VarCurr: $i] : (v121(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex1)))))) | (v121(constB65) <=> (~(v90(constB65, bitIndex2) | (~v90(constB65, bitIndex1)) | v90(constB65, bitIndex0)))))),
% 14.51/9.77 inference(monotonicity,[status(thm)],[10636])).
% 14.51/9.77 tff(10638,plain,
% 14.51/9.77 (((~![VarCurr: $i] : (v121(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex1)))))) | (v121(constB65) <=> (~(v90(constB65, bitIndex0) | v90(constB65, bitIndex2) | (~v90(constB65, bitIndex1)))))) <=> ((~![VarCurr: $i] : (v121(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex1)))))) | (v121(constB65) <=> (~(v90(constB65, bitIndex2) | (~v90(constB65, bitIndex1)) | v90(constB65, bitIndex0)))))),
% 14.51/9.77 inference(transitivity,[status(thm)],[10637, 10635])).
% 14.51/9.77 tff(10639,plain,
% 14.51/9.77 ((~![VarCurr: $i] : (v121(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex1)))))) | (v121(constB65) <=> (~(v90(constB65, bitIndex0) | v90(constB65, bitIndex2) | (~v90(constB65, bitIndex1)))))),
% 14.51/9.77 inference(quant_inst,[status(thm)],[])).
% 14.51/9.77 tff(10640,plain,
% 14.51/9.77 ((~![VarCurr: $i] : (v121(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex1)))))) | (v121(constB65) <=> (~(v90(constB65, bitIndex2) | (~v90(constB65, bitIndex1)) | v90(constB65, bitIndex0))))),
% 14.51/9.77 inference(modus_ponens,[status(thm)],[10639, 10638])).
% 14.51/9.77 tff(10641,plain,
% 14.51/9.77 (v121(constB65) <=> (~(v90(constB65, bitIndex2) | (~v90(constB65, bitIndex1)) | v90(constB65, bitIndex0)))),
% 14.51/9.77 inference(unit_resolution,[status(thm)],[10640, 849])).
% 14.51/9.77 tff(10642,plain,
% 14.51/9.77 ((v90(constB65, bitIndex2) | (~v90(constB65, bitIndex1)) | v90(constB65, bitIndex0)) | (~v90(constB65, bitIndex2))),
% 14.51/9.77 inference(tautology,[status(thm)],[])).
% 14.51/9.77 tff(10643,plain,
% 14.51/9.77 (v90(constB65, bitIndex2) | (~v90(constB65, bitIndex1)) | v90(constB65, bitIndex0)),
% 14.51/9.77 inference(unit_resolution,[status(thm)],[10642, 10473])).
% 14.51/9.77 tff(10644,plain,
% 14.51/9.77 ((~(v121(constB65) <=> (~(v90(constB65, bitIndex2) | (~v90(constB65, bitIndex1)) | v90(constB65, bitIndex0))))) | (~v121(constB65)) | (~(v90(constB65, bitIndex2) | (~v90(constB65, bitIndex1)) | v90(constB65, bitIndex0)))),
% 14.51/9.77 inference(tautology,[status(thm)],[])).
% 14.51/9.77 tff(10645,plain,
% 14.51/9.77 (~v121(constB65)),
% 14.51/9.77 inference(unit_resolution,[status(thm)],[10644, 10643, 10641])).
% 14.51/9.77 tff(10646,plain,
% 14.51/9.77 (((~![VarCurr: $i] : (v120(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)))))) | (v120(constB65) <=> (~(v90(constB65, bitIndex2) | v90(constB65, bitIndex1) | (~v90(constB65, bitIndex0)))))) <=> ((~![VarCurr: $i] : (v120(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)))))) | (v120(constB65) <=> (~(v90(constB65, bitIndex2) | v90(constB65, bitIndex1) | (~v90(constB65, bitIndex0))))))),
% 14.51/9.77 inference(rewrite,[status(thm)],[])).
% 14.51/9.77 tff(10647,plain,
% 14.51/9.77 ((v120(constB65) <=> (~(v90(constB65, bitIndex1) | v90(constB65, bitIndex2) | (~v90(constB65, bitIndex0))))) <=> (v120(constB65) <=> (~(v90(constB65, bitIndex2) | v90(constB65, bitIndex1) | (~v90(constB65, bitIndex0)))))),
% 14.51/9.77 inference(rewrite,[status(thm)],[])).
% 14.51/9.77 tff(10648,plain,
% 14.51/9.77 (((~![VarCurr: $i] : (v120(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)))))) | (v120(constB65) <=> (~(v90(constB65, bitIndex1) | v90(constB65, bitIndex2) | (~v90(constB65, bitIndex0)))))) <=> ((~![VarCurr: $i] : (v120(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)))))) | (v120(constB65) <=> (~(v90(constB65, bitIndex2) | v90(constB65, bitIndex1) | (~v90(constB65, bitIndex0))))))),
% 14.51/9.77 inference(monotonicity,[status(thm)],[10647])).
% 14.51/9.77 tff(10649,plain,
% 14.51/9.77 (((~![VarCurr: $i] : (v120(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)))))) | (v120(constB65) <=> (~(v90(constB65, bitIndex1) | v90(constB65, bitIndex2) | (~v90(constB65, bitIndex0)))))) <=> ((~![VarCurr: $i] : (v120(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)))))) | (v120(constB65) <=> (~(v90(constB65, bitIndex2) | v90(constB65, bitIndex1) | (~v90(constB65, bitIndex0))))))),
% 14.51/9.77 inference(transitivity,[status(thm)],[10648, 10646])).
% 14.51/9.77 tff(10650,plain,
% 14.51/9.77 ((~![VarCurr: $i] : (v120(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)))))) | (v120(constB65) <=> (~(v90(constB65, bitIndex1) | v90(constB65, bitIndex2) | (~v90(constB65, bitIndex0)))))),
% 14.51/9.77 inference(quant_inst,[status(thm)],[])).
% 14.51/9.77 tff(10651,plain,
% 14.51/9.77 ((~![VarCurr: $i] : (v120(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)))))) | (v120(constB65) <=> (~(v90(constB65, bitIndex2) | v90(constB65, bitIndex1) | (~v90(constB65, bitIndex0)))))),
% 14.51/9.77 inference(modus_ponens,[status(thm)],[10650, 10649])).
% 14.51/9.77 tff(10652,plain,
% 14.51/9.77 (v120(constB65) <=> (~(v90(constB65, bitIndex2) | v90(constB65, bitIndex1) | (~v90(constB65, bitIndex0))))),
% 14.51/9.77 inference(unit_resolution,[status(thm)],[10651, 966])).
% 14.51/9.77 tff(10653,plain,
% 14.51/9.77 ((v90(constB65, bitIndex2) | v90(constB65, bitIndex1) | (~v90(constB65, bitIndex0))) | (~v90(constB65, bitIndex2))),
% 14.51/9.77 inference(tautology,[status(thm)],[])).
% 14.51/9.77 tff(10654,plain,
% 14.51/9.77 (v90(constB65, bitIndex2) | v90(constB65, bitIndex1) | (~v90(constB65, bitIndex0))),
% 14.51/9.77 inference(unit_resolution,[status(thm)],[10653, 10473])).
% 14.51/9.77 tff(10655,plain,
% 14.51/9.77 ((~(v120(constB65) <=> (~(v90(constB65, bitIndex2) | v90(constB65, bitIndex1) | (~v90(constB65, bitIndex0)))))) | (~v120(constB65)) | (~(v90(constB65, bitIndex2) | v90(constB65, bitIndex1) | (~v90(constB65, bitIndex0))))),
% 14.51/9.77 inference(tautology,[status(thm)],[])).
% 14.51/9.77 tff(10656,plain,
% 14.51/9.77 (~v120(constB65)),
% 14.51/9.77 inference(unit_resolution,[status(thm)],[10655, 10654, 10652])).
% 14.51/9.77 tff(10657,plain,
% 14.51/9.77 (((~![VarCurr: $i] : (v124(VarCurr) | v123(VarCurr) | v122(VarCurr) | v121(VarCurr) | v120(VarCurr) | v119(VarCurr) | ![B: $i] : ((~less_3(B)) | (v130(VarCurr, B) <=> b001(B))))) | (v120(constB65) | v119(constB65) | v121(constB65) | v122(constB65) | v123(constB65) | v124(constB65) | ![B: $i] : ((~less_3(B)) | (v130(constB65, B) <=> b001(B))))) <=> ((~![VarCurr: $i] : (v124(VarCurr) | v123(VarCurr) | v122(VarCurr) | v121(VarCurr) | v120(VarCurr) | v119(VarCurr) | ![B: $i] : ((~less_3(B)) | (v130(VarCurr, B) <=> b001(B))))) | v120(constB65) | v119(constB65) | v121(constB65) | v122(constB65) | v123(constB65) | v124(constB65) | ![B: $i] : ((~less_3(B)) | (v130(constB65, B) <=> b001(B))))),
% 14.51/9.77 inference(rewrite,[status(thm)],[])).
% 14.51/9.77 tff(10658,plain,
% 14.51/9.77 ((v124(constB65) | v123(constB65) | v122(constB65) | v121(constB65) | v120(constB65) | v119(constB65) | ![B: $i] : ((~less_3(B)) | (v130(constB65, B) <=> b001(B)))) <=> (v120(constB65) | v119(constB65) | v121(constB65) | v122(constB65) | v123(constB65) | v124(constB65) | ![B: $i] : ((~less_3(B)) | (v130(constB65, B) <=> b001(B))))),
% 14.51/9.77 inference(rewrite,[status(thm)],[])).
% 14.51/9.77 tff(10659,plain,
% 14.51/9.77 (((~![VarCurr: $i] : (v124(VarCurr) | v123(VarCurr) | v122(VarCurr) | v121(VarCurr) | v120(VarCurr) | v119(VarCurr) | ![B: $i] : ((~less_3(B)) | (v130(VarCurr, B) <=> b001(B))))) | (v124(constB65) | v123(constB65) | v122(constB65) | v121(constB65) | v120(constB65) | v119(constB65) | ![B: $i] : ((~less_3(B)) | (v130(constB65, B) <=> b001(B))))) <=> ((~![VarCurr: $i] : (v124(VarCurr) | v123(VarCurr) | v122(VarCurr) | v121(VarCurr) | v120(VarCurr) | v119(VarCurr) | ![B: $i] : ((~less_3(B)) | (v130(VarCurr, B) <=> b001(B))))) | (v120(constB65) | v119(constB65) | v121(constB65) | v122(constB65) | v123(constB65) | v124(constB65) | ![B: $i] : ((~less_3(B)) | (v130(constB65, B) <=> b001(B)))))),
% 14.51/9.77 inference(monotonicity,[status(thm)],[10658])).
% 14.51/9.77 tff(10660,plain,
% 14.51/9.77 (((~![VarCurr: $i] : (v124(VarCurr) | v123(VarCurr) | v122(VarCurr) | v121(VarCurr) | v120(VarCurr) | v119(VarCurr) | ![B: $i] : ((~less_3(B)) | (v130(VarCurr, B) <=> b001(B))))) | (v124(constB65) | v123(constB65) | v122(constB65) | v121(constB65) | v120(constB65) | v119(constB65) | ![B: $i] : ((~less_3(B)) | (v130(constB65, B) <=> b001(B))))) <=> ((~![VarCurr: $i] : (v124(VarCurr) | v123(VarCurr) | v122(VarCurr) | v121(VarCurr) | v120(VarCurr) | v119(VarCurr) | ![B: $i] : ((~less_3(B)) | (v130(VarCurr, B) <=> b001(B))))) | v120(constB65) | v119(constB65) | v121(constB65) | v122(constB65) | v123(constB65) | v124(constB65) | ![B: $i] : ((~less_3(B)) | (v130(constB65, B) <=> b001(B))))),
% 14.51/9.77 inference(transitivity,[status(thm)],[10659, 10657])).
% 14.51/9.77 tff(10661,plain,
% 14.51/9.77 ((~![VarCurr: $i] : (v124(VarCurr) | v123(VarCurr) | v122(VarCurr) | v121(VarCurr) | v120(VarCurr) | v119(VarCurr) | ![B: $i] : ((~less_3(B)) | (v130(VarCurr, B) <=> b001(B))))) | (v124(constB65) | v123(constB65) | v122(constB65) | v121(constB65) | v120(constB65) | v119(constB65) | ![B: $i] : ((~less_3(B)) | (v130(constB65, B) <=> b001(B))))),
% 14.51/9.77 inference(quant_inst,[status(thm)],[])).
% 14.51/9.77 tff(10662,plain,
% 14.51/9.77 ((~![VarCurr: $i] : (v124(VarCurr) | v123(VarCurr) | v122(VarCurr) | v121(VarCurr) | v120(VarCurr) | v119(VarCurr) | ![B: $i] : ((~less_3(B)) | (v130(VarCurr, B) <=> b001(B))))) | v120(constB65) | v119(constB65) | v121(constB65) | v122(constB65) | v123(constB65) | v124(constB65) | ![B: $i] : ((~less_3(B)) | (v130(constB65, B) <=> b001(B)))),
% 14.51/9.77 inference(modus_ponens,[status(thm)],[10661, 10660])).
% 14.51/9.77 tff(10663,plain,
% 14.51/9.77 (v120(constB65) | v119(constB65) | v121(constB65) | v122(constB65) | v123(constB65) | v124(constB65) | ![B: $i] : ((~less_3(B)) | (v130(constB65, B) <=> b001(B)))),
% 14.51/9.77 inference(unit_resolution,[status(thm)],[10662, 5610])).
% 14.51/9.77 tff(10664,plain,
% 14.51/9.77 (![B: $i] : ((~less_3(B)) | (v130(constB65, B) <=> b001(B)))),
% 14.51/9.77 inference(unit_resolution,[status(thm)],[10663, 10656, 10645, 10634, 10623, 10612, 10601])).
% 14.51/9.77 tff(10665,plain,
% 14.51/9.77 (((~![B: $i] : ((~less_3(B)) | (v130(constB65, B) <=> b001(B)))) | ((~less_3(bitIndex2)) | (v130(constB65, bitIndex2) <=> b001(bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v130(constB65, B) <=> b001(B)))) | (~less_3(bitIndex2)) | (v130(constB65, bitIndex2) <=> b001(bitIndex2)))),
% 14.51/9.77 inference(rewrite,[status(thm)],[])).
% 14.51/9.77 tff(10666,plain,
% 14.51/9.77 ((~![B: $i] : ((~less_3(B)) | (v130(constB65, B) <=> b001(B)))) | ((~less_3(bitIndex2)) | (v130(constB65, bitIndex2) <=> b001(bitIndex2)))),
% 14.51/9.77 inference(quant_inst,[status(thm)],[])).
% 14.51/9.77 tff(10667,plain,
% 14.51/9.77 ((~![B: $i] : ((~less_3(B)) | (v130(constB65, B) <=> b001(B)))) | (~less_3(bitIndex2)) | (v130(constB65, bitIndex2) <=> b001(bitIndex2))),
% 14.51/9.77 inference(modus_ponens,[status(thm)],[10666, 10665])).
% 14.51/9.77 tff(10668,plain,
% 14.51/9.77 (v130(constB65, bitIndex2) <=> b001(bitIndex2)),
% 14.51/9.77 inference(unit_resolution,[status(thm)],[10667, 413, 10664])).
% 14.51/9.77 tff(10669,plain,
% 14.51/9.77 ((~(v130(constB65, bitIndex2) <=> b001(bitIndex2))) | (~v130(constB65, bitIndex2)) | b001(bitIndex2)),
% 14.51/9.77 inference(tautology,[status(thm)],[])).
% 14.51/9.77 tff(10670,plain,
% 14.51/9.77 ((~(v130(constB65, bitIndex2) <=> b001(bitIndex2))) | (~v130(constB65, bitIndex2))),
% 14.51/9.77 inference(unit_resolution,[status(thm)],[10669, 5625])).
% 14.51/9.77 tff(10671,plain,
% 14.51/9.77 (~v130(constB65, bitIndex2)),
% 14.51/9.77 inference(unit_resolution,[status(thm)],[10670, 10668])).
% 14.51/9.77 tff(10672,plain,
% 14.51/9.77 ((~(v127(constB65, bitIndex2) <=> v130(constB65, bitIndex2))) | (~v127(constB65, bitIndex2)) | v130(constB65, bitIndex2)),
% 14.51/9.77 inference(tautology,[status(thm)],[])).
% 14.51/9.77 tff(10673,plain,
% 14.51/9.77 (~v127(constB65, bitIndex2)),
% 14.51/9.77 inference(unit_resolution,[status(thm)],[10672, 10671, 10595])).
% 14.51/9.77 tff(10674,plain,
% 14.51/9.77 ((~(v129(constB66, bitIndex2) <=> v127(constB65, bitIndex2))) | (~v129(constB66, bitIndex2)) | v127(constB65, bitIndex2)),
% 14.51/9.77 inference(tautology,[status(thm)],[])).
% 14.51/9.77 tff(10675,plain,
% 14.51/9.77 (~v129(constB66, bitIndex2)),
% 14.51/9.77 inference(unit_resolution,[status(thm)],[10674, 10673, 10587])).
% 14.51/9.77 tff(10676,plain,
% 14.51/9.77 ((~(v90(constB66, bitIndex2) <=> v129(constB66, bitIndex2))) | (~v90(constB66, bitIndex2)) | v129(constB66, bitIndex2)),
% 14.51/9.77 inference(tautology,[status(thm)],[])).
% 14.51/9.77 tff(10677,plain,
% 14.51/9.77 (~v90(constB66, bitIndex2)),
% 14.51/9.77 inference(unit_resolution,[status(thm)],[10676, 10675, 10579])).
% 14.51/9.77 tff(10678,plain,
% 14.51/9.77 ((~(v90(constB67, bitIndex2) <=> v90(constB66, bitIndex2))) | (~v90(constB67, bitIndex2)) | v90(constB66, bitIndex2)),
% 14.51/9.77 inference(tautology,[status(thm)],[])).
% 14.51/9.77 tff(10679,plain,
% 14.51/9.77 (~v90(constB67, bitIndex2)),
% 14.51/9.77 inference(unit_resolution,[status(thm)],[10678, 10677, 1944])).
% 14.51/9.77 tff(10680,plain,
% 14.51/9.77 (((~![B: $i] : ((~less_3(B)) | (v90(constB67, B) <=> v90(constB66, B)))) | ((~less_3(bitIndex0)) | (v90(constB67, bitIndex0) <=> v90(constB66, bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v90(constB67, B) <=> v90(constB66, B)))) | (~less_3(bitIndex0)) | (v90(constB67, bitIndex0) <=> v90(constB66, bitIndex0)))),
% 14.51/9.77 inference(rewrite,[status(thm)],[])).
% 14.51/9.77 tff(10681,plain,
% 14.51/9.77 ((~![B: $i] : ((~less_3(B)) | (v90(constB67, B) <=> v90(constB66, B)))) | ((~less_3(bitIndex0)) | (v90(constB67, bitIndex0) <=> v90(constB66, bitIndex0)))),
% 14.51/9.77 inference(quant_inst,[status(thm)],[])).
% 14.51/9.77 tff(10682,plain,
% 14.51/9.77 ((~![B: $i] : ((~less_3(B)) | (v90(constB67, B) <=> v90(constB66, B)))) | (~less_3(bitIndex0)) | (v90(constB67, bitIndex0) <=> v90(constB66, bitIndex0))),
% 14.51/9.77 inference(modus_ponens,[status(thm)],[10681, 10680])).
% 14.51/9.77 tff(10683,plain,
% 14.51/9.77 (v90(constB67, bitIndex0) <=> v90(constB66, bitIndex0)),
% 14.51/9.77 inference(unit_resolution,[status(thm)],[10682, 5004, 1940])).
% 14.51/9.77 tff(10684,plain,
% 14.51/9.77 (((~![B: $i] : ((~less_3(B)) | (v90(constB66, B) <=> v129(constB66, B)))) | ((~less_3(bitIndex0)) | (v90(constB66, bitIndex0) <=> v129(constB66, bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v90(constB66, B) <=> v129(constB66, B)))) | (~less_3(bitIndex0)) | (v90(constB66, bitIndex0) <=> v129(constB66, bitIndex0)))),
% 14.51/9.77 inference(rewrite,[status(thm)],[])).
% 14.51/9.77 tff(10685,plain,
% 14.51/9.77 ((~![B: $i] : ((~less_3(B)) | (v90(constB66, B) <=> v129(constB66, B)))) | ((~less_3(bitIndex0)) | (v90(constB66, bitIndex0) <=> v129(constB66, bitIndex0)))),
% 14.51/9.77 inference(quant_inst,[status(thm)],[])).
% 14.51/9.77 tff(10686,plain,
% 14.51/9.77 ((~![B: $i] : ((~less_3(B)) | (v90(constB66, B) <=> v129(constB66, B)))) | (~less_3(bitIndex0)) | (v90(constB66, bitIndex0) <=> v129(constB66, bitIndex0))),
% 14.51/9.77 inference(modus_ponens,[status(thm)],[10685, 10684])).
% 14.51/9.77 tff(10687,plain,
% 14.51/9.77 (v90(constB66, bitIndex0) <=> v129(constB66, bitIndex0)),
% 14.51/9.77 inference(unit_resolution,[status(thm)],[10686, 5004, 10575])).
% 14.51/9.77 tff(10688,plain,
% 14.51/9.77 (((~![B: $i] : ((~less_3(B)) | (v129(constB66, B) <=> v127(constB65, B)))) | ((~less_3(bitIndex0)) | (v129(constB66, bitIndex0) <=> v127(constB65, bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v129(constB66, B) <=> v127(constB65, B)))) | (~less_3(bitIndex0)) | (v129(constB66, bitIndex0) <=> v127(constB65, bitIndex0)))),
% 14.51/9.77 inference(rewrite,[status(thm)],[])).
% 14.51/9.77 tff(10689,plain,
% 14.51/9.77 ((~![B: $i] : ((~less_3(B)) | (v129(constB66, B) <=> v127(constB65, B)))) | ((~less_3(bitIndex0)) | (v129(constB66, bitIndex0) <=> v127(constB65, bitIndex0)))),
% 14.51/9.77 inference(quant_inst,[status(thm)],[])).
% 14.51/9.77 tff(10690,plain,
% 14.51/9.77 ((~![B: $i] : ((~less_3(B)) | (v129(constB66, B) <=> v127(constB65, B)))) | (~less_3(bitIndex0)) | (v129(constB66, bitIndex0) <=> v127(constB65, bitIndex0))),
% 14.51/9.77 inference(modus_ponens,[status(thm)],[10689, 10688])).
% 14.51/9.77 tff(10691,plain,
% 14.51/9.77 (v129(constB66, bitIndex0) <=> v127(constB65, bitIndex0)),
% 14.51/9.77 inference(unit_resolution,[status(thm)],[10690, 5004, 10583])).
% 14.51/9.77 tff(10692,plain,
% 14.51/9.77 (((~![B: $i] : ((~less_3(B)) | (v127(constB65, B) <=> v130(constB65, B)))) | ((~less_3(bitIndex0)) | (v127(constB65, bitIndex0) <=> v130(constB65, bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v127(constB65, B) <=> v130(constB65, B)))) | (~less_3(bitIndex0)) | (v127(constB65, bitIndex0) <=> v130(constB65, bitIndex0)))),
% 14.51/9.77 inference(rewrite,[status(thm)],[])).
% 14.51/9.77 tff(10693,plain,
% 14.51/9.77 ((~![B: $i] : ((~less_3(B)) | (v127(constB65, B) <=> v130(constB65, B)))) | ((~less_3(bitIndex0)) | (v127(constB65, bitIndex0) <=> v130(constB65, bitIndex0)))),
% 14.51/9.77 inference(quant_inst,[status(thm)],[])).
% 14.51/9.77 tff(10694,plain,
% 14.51/9.77 ((~![B: $i] : ((~less_3(B)) | (v127(constB65, B) <=> v130(constB65, B)))) | (~less_3(bitIndex0)) | (v127(constB65, bitIndex0) <=> v130(constB65, bitIndex0))),
% 14.51/9.77 inference(modus_ponens,[status(thm)],[10693, 10692])).
% 14.51/9.77 tff(10695,plain,
% 14.51/9.77 (v127(constB65, bitIndex0) <=> v130(constB65, bitIndex0)),
% 14.51/9.77 inference(unit_resolution,[status(thm)],[10694, 5004, 10591])).
% 14.51/9.78 tff(10696,plain,
% 14.51/9.78 (((~![B: $i] : ((~less_3(B)) | (v130(constB65, B) <=> b001(B)))) | ((~less_3(bitIndex0)) | (v130(constB65, bitIndex0) <=> b001(bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v130(constB65, B) <=> b001(B)))) | (~less_3(bitIndex0)) | (v130(constB65, bitIndex0) <=> b001(bitIndex0)))),
% 14.51/9.78 inference(rewrite,[status(thm)],[])).
% 14.51/9.78 tff(10697,plain,
% 14.51/9.78 ((~![B: $i] : ((~less_3(B)) | (v130(constB65, B) <=> b001(B)))) | ((~less_3(bitIndex0)) | (v130(constB65, bitIndex0) <=> b001(bitIndex0)))),
% 14.51/9.78 inference(quant_inst,[status(thm)],[])).
% 14.51/9.78 tff(10698,plain,
% 14.51/9.78 ((~![B: $i] : ((~less_3(B)) | (v130(constB65, B) <=> b001(B)))) | (~less_3(bitIndex0)) | (v130(constB65, bitIndex0) <=> b001(bitIndex0))),
% 14.51/9.78 inference(modus_ponens,[status(thm)],[10697, 10696])).
% 14.51/9.78 tff(10699,plain,
% 14.51/9.78 (v130(constB65, bitIndex0) <=> b001(bitIndex0)),
% 14.51/9.78 inference(unit_resolution,[status(thm)],[10698, 5004, 10664])).
% 14.51/9.78 tff(10700,plain,
% 14.51/9.78 ((~(v130(constB65, bitIndex0) <=> b001(bitIndex0))) | v130(constB65, bitIndex0) | (~b001(bitIndex0))),
% 14.51/9.78 inference(tautology,[status(thm)],[])).
% 14.51/9.78 tff(10701,plain,
% 14.51/9.78 ((~(v130(constB65, bitIndex0) <=> b001(bitIndex0))) | v130(constB65, bitIndex0)),
% 14.51/9.78 inference(unit_resolution,[status(thm)],[10700, 5659])).
% 14.51/9.78 tff(10702,plain,
% 14.51/9.78 (v130(constB65, bitIndex0)),
% 14.51/9.78 inference(unit_resolution,[status(thm)],[10701, 10699])).
% 14.51/9.78 tff(10703,plain,
% 14.51/9.78 ((~(v127(constB65, bitIndex0) <=> v130(constB65, bitIndex0))) | v127(constB65, bitIndex0) | (~v130(constB65, bitIndex0))),
% 14.51/9.78 inference(tautology,[status(thm)],[])).
% 14.51/9.78 tff(10704,plain,
% 14.51/9.78 (v127(constB65, bitIndex0)),
% 14.51/9.78 inference(unit_resolution,[status(thm)],[10703, 10702, 10695])).
% 14.51/9.78 tff(10705,plain,
% 14.51/9.78 ((~(v129(constB66, bitIndex0) <=> v127(constB65, bitIndex0))) | v129(constB66, bitIndex0) | (~v127(constB65, bitIndex0))),
% 14.51/9.78 inference(tautology,[status(thm)],[])).
% 14.51/9.78 tff(10706,plain,
% 14.51/9.78 (v129(constB66, bitIndex0)),
% 14.51/9.78 inference(unit_resolution,[status(thm)],[10705, 10704, 10691])).
% 14.51/9.78 tff(10707,plain,
% 14.51/9.78 ((~(v90(constB66, bitIndex0) <=> v129(constB66, bitIndex0))) | v90(constB66, bitIndex0) | (~v129(constB66, bitIndex0))),
% 14.51/9.78 inference(tautology,[status(thm)],[])).
% 14.51/9.78 tff(10708,plain,
% 14.51/9.78 (v90(constB66, bitIndex0)),
% 14.51/9.78 inference(unit_resolution,[status(thm)],[10707, 10706, 10687])).
% 14.51/9.78 tff(10709,plain,
% 14.51/9.78 ((~(v90(constB67, bitIndex0) <=> v90(constB66, bitIndex0))) | v90(constB67, bitIndex0) | (~v90(constB66, bitIndex0))),
% 14.51/9.78 inference(tautology,[status(thm)],[])).
% 14.51/9.78 tff(10710,plain,
% 14.51/9.78 (v90(constB67, bitIndex0)),
% 14.51/9.78 inference(unit_resolution,[status(thm)],[10709, 10708, 10683])).
% 14.51/9.78 tff(10711,plain,
% 14.51/9.78 (((~![B: $i] : ((~less_3(B)) | (v90(constB67, B) <=> v90(constB66, B)))) | ((~less_3(bitIndex1)) | (v90(constB67, bitIndex1) <=> v90(constB66, bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v90(constB67, B) <=> v90(constB66, B)))) | (~less_3(bitIndex1)) | (v90(constB67, bitIndex1) <=> v90(constB66, bitIndex1)))),
% 14.51/9.78 inference(rewrite,[status(thm)],[])).
% 14.51/9.78 tff(10712,plain,
% 14.51/9.78 ((~![B: $i] : ((~less_3(B)) | (v90(constB67, B) <=> v90(constB66, B)))) | ((~less_3(bitIndex1)) | (v90(constB67, bitIndex1) <=> v90(constB66, bitIndex1)))),
% 14.51/9.78 inference(quant_inst,[status(thm)],[])).
% 14.51/9.78 tff(10713,plain,
% 14.51/9.78 ((~![B: $i] : ((~less_3(B)) | (v90(constB67, B) <=> v90(constB66, B)))) | (~less_3(bitIndex1)) | (v90(constB67, bitIndex1) <=> v90(constB66, bitIndex1))),
% 14.51/9.78 inference(modus_ponens,[status(thm)],[10712, 10711])).
% 14.51/9.78 tff(10714,plain,
% 14.51/9.78 (v90(constB67, bitIndex1) <=> v90(constB66, bitIndex1)),
% 14.51/9.78 inference(unit_resolution,[status(thm)],[10713, 5017, 1940])).
% 14.51/9.78 tff(10715,plain,
% 14.51/9.78 (((~![B: $i] : ((~less_3(B)) | (v90(constB66, B) <=> v129(constB66, B)))) | ((~less_3(bitIndex1)) | (v90(constB66, bitIndex1) <=> v129(constB66, bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v90(constB66, B) <=> v129(constB66, B)))) | (~less_3(bitIndex1)) | (v90(constB66, bitIndex1) <=> v129(constB66, bitIndex1)))),
% 14.51/9.78 inference(rewrite,[status(thm)],[])).
% 14.51/9.78 tff(10716,plain,
% 14.51/9.78 ((~![B: $i] : ((~less_3(B)) | (v90(constB66, B) <=> v129(constB66, B)))) | ((~less_3(bitIndex1)) | (v90(constB66, bitIndex1) <=> v129(constB66, bitIndex1)))),
% 14.51/9.78 inference(quant_inst,[status(thm)],[])).
% 14.51/9.78 tff(10717,plain,
% 14.51/9.78 ((~![B: $i] : ((~less_3(B)) | (v90(constB66, B) <=> v129(constB66, B)))) | (~less_3(bitIndex1)) | (v90(constB66, bitIndex1) <=> v129(constB66, bitIndex1))),
% 14.51/9.78 inference(modus_ponens,[status(thm)],[10716, 10715])).
% 14.51/9.78 tff(10718,plain,
% 14.51/9.78 (v90(constB66, bitIndex1) <=> v129(constB66, bitIndex1)),
% 14.51/9.78 inference(unit_resolution,[status(thm)],[10717, 5017, 10575])).
% 14.51/9.78 tff(10719,plain,
% 14.51/9.78 (((~![B: $i] : ((~less_3(B)) | (v129(constB66, B) <=> v127(constB65, B)))) | ((~less_3(bitIndex1)) | (v129(constB66, bitIndex1) <=> v127(constB65, bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v129(constB66, B) <=> v127(constB65, B)))) | (~less_3(bitIndex1)) | (v129(constB66, bitIndex1) <=> v127(constB65, bitIndex1)))),
% 14.51/9.78 inference(rewrite,[status(thm)],[])).
% 14.51/9.78 tff(10720,plain,
% 14.51/9.78 ((~![B: $i] : ((~less_3(B)) | (v129(constB66, B) <=> v127(constB65, B)))) | ((~less_3(bitIndex1)) | (v129(constB66, bitIndex1) <=> v127(constB65, bitIndex1)))),
% 14.51/9.78 inference(quant_inst,[status(thm)],[])).
% 14.51/9.78 tff(10721,plain,
% 14.51/9.78 ((~![B: $i] : ((~less_3(B)) | (v129(constB66, B) <=> v127(constB65, B)))) | (~less_3(bitIndex1)) | (v129(constB66, bitIndex1) <=> v127(constB65, bitIndex1))),
% 14.51/9.78 inference(modus_ponens,[status(thm)],[10720, 10719])).
% 14.51/9.78 tff(10722,plain,
% 14.51/9.78 (v129(constB66, bitIndex1) <=> v127(constB65, bitIndex1)),
% 14.51/9.78 inference(unit_resolution,[status(thm)],[10721, 5017, 10583])).
% 14.51/9.78 tff(10723,plain,
% 14.51/9.78 (((~![B: $i] : ((~less_3(B)) | (v127(constB65, B) <=> v130(constB65, B)))) | ((~less_3(bitIndex1)) | (v127(constB65, bitIndex1) <=> v130(constB65, bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v127(constB65, B) <=> v130(constB65, B)))) | (~less_3(bitIndex1)) | (v127(constB65, bitIndex1) <=> v130(constB65, bitIndex1)))),
% 14.51/9.78 inference(rewrite,[status(thm)],[])).
% 14.51/9.78 tff(10724,plain,
% 14.51/9.78 ((~![B: $i] : ((~less_3(B)) | (v127(constB65, B) <=> v130(constB65, B)))) | ((~less_3(bitIndex1)) | (v127(constB65, bitIndex1) <=> v130(constB65, bitIndex1)))),
% 14.51/9.78 inference(quant_inst,[status(thm)],[])).
% 14.51/9.78 tff(10725,plain,
% 14.51/9.78 ((~![B: $i] : ((~less_3(B)) | (v127(constB65, B) <=> v130(constB65, B)))) | (~less_3(bitIndex1)) | (v127(constB65, bitIndex1) <=> v130(constB65, bitIndex1))),
% 14.51/9.78 inference(modus_ponens,[status(thm)],[10724, 10723])).
% 14.51/9.78 tff(10726,plain,
% 14.51/9.78 (v127(constB65, bitIndex1) <=> v130(constB65, bitIndex1)),
% 14.51/9.78 inference(unit_resolution,[status(thm)],[10725, 5017, 10591])).
% 14.51/9.78 tff(10727,plain,
% 14.51/9.78 (((~![B: $i] : ((~less_3(B)) | (v130(constB65, B) <=> b001(B)))) | ((~less_3(bitIndex1)) | (v130(constB65, bitIndex1) <=> b001(bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v130(constB65, B) <=> b001(B)))) | (~less_3(bitIndex1)) | (v130(constB65, bitIndex1) <=> b001(bitIndex1)))),
% 14.51/9.78 inference(rewrite,[status(thm)],[])).
% 14.51/9.78 tff(10728,plain,
% 14.51/9.78 ((~![B: $i] : ((~less_3(B)) | (v130(constB65, B) <=> b001(B)))) | ((~less_3(bitIndex1)) | (v130(constB65, bitIndex1) <=> b001(bitIndex1)))),
% 14.51/9.78 inference(quant_inst,[status(thm)],[])).
% 14.51/9.78 tff(10729,plain,
% 14.51/9.78 ((~![B: $i] : ((~less_3(B)) | (v130(constB65, B) <=> b001(B)))) | (~less_3(bitIndex1)) | (v130(constB65, bitIndex1) <=> b001(bitIndex1))),
% 14.51/9.78 inference(modus_ponens,[status(thm)],[10728, 10727])).
% 14.51/9.78 tff(10730,plain,
% 14.51/9.78 (v130(constB65, bitIndex1) <=> b001(bitIndex1)),
% 14.51/9.78 inference(unit_resolution,[status(thm)],[10729, 5017, 10664])).
% 14.51/9.78 tff(10731,plain,
% 14.51/9.78 ((~(v130(constB65, bitIndex1) <=> b001(bitIndex1))) | (~v130(constB65, bitIndex1)) | b001(bitIndex1)),
% 14.51/9.78 inference(tautology,[status(thm)],[])).
% 14.51/9.78 tff(10732,plain,
% 14.51/9.78 ((~(v130(constB65, bitIndex1) <=> b001(bitIndex1))) | (~v130(constB65, bitIndex1))),
% 14.51/9.78 inference(unit_resolution,[status(thm)],[10731, 5693])).
% 14.51/9.78 tff(10733,plain,
% 14.51/9.78 (~v130(constB65, bitIndex1)),
% 14.51/9.78 inference(unit_resolution,[status(thm)],[10732, 10730])).
% 14.51/9.78 tff(10734,plain,
% 14.51/9.78 ((~(v127(constB65, bitIndex1) <=> v130(constB65, bitIndex1))) | (~v127(constB65, bitIndex1)) | v130(constB65, bitIndex1)),
% 14.51/9.78 inference(tautology,[status(thm)],[])).
% 14.51/9.78 tff(10735,plain,
% 14.51/9.78 (~v127(constB65, bitIndex1)),
% 14.51/9.78 inference(unit_resolution,[status(thm)],[10734, 10733, 10726])).
% 14.51/9.78 tff(10736,plain,
% 14.51/9.78 ((~(v129(constB66, bitIndex1) <=> v127(constB65, bitIndex1))) | (~v129(constB66, bitIndex1)) | v127(constB65, bitIndex1)),
% 14.51/9.78 inference(tautology,[status(thm)],[])).
% 14.51/9.78 tff(10737,plain,
% 14.51/9.78 (~v129(constB66, bitIndex1)),
% 14.51/9.78 inference(unit_resolution,[status(thm)],[10736, 10735, 10722])).
% 14.51/9.78 tff(10738,plain,
% 14.51/9.78 ((~(v90(constB66, bitIndex1) <=> v129(constB66, bitIndex1))) | (~v90(constB66, bitIndex1)) | v129(constB66, bitIndex1)),
% 14.51/9.78 inference(tautology,[status(thm)],[])).
% 14.51/9.78 tff(10739,plain,
% 14.51/9.78 (~v90(constB66, bitIndex1)),
% 14.51/9.78 inference(unit_resolution,[status(thm)],[10738, 10737, 10718])).
% 14.51/9.78 tff(10740,plain,
% 14.51/9.78 ((~(v90(constB67, bitIndex1) <=> v90(constB66, bitIndex1))) | (~v90(constB67, bitIndex1)) | v90(constB66, bitIndex1)),
% 14.51/9.78 inference(tautology,[status(thm)],[])).
% 14.51/9.78 tff(10741,plain,
% 14.51/9.78 (~v90(constB67, bitIndex1)),
% 14.51/9.78 inference(unit_resolution,[status(thm)],[10740, 10739, 10714])).
% 14.51/9.78 tff(10742,plain,
% 14.51/9.78 ((~(v90(constB67, bitIndex2) | v90(constB67, bitIndex1) | (~v90(constB67, bitIndex0)))) | v90(constB67, bitIndex2) | v90(constB67, bitIndex1) | (~v90(constB67, bitIndex0))),
% 14.51/9.78 inference(tautology,[status(thm)],[])).
% 14.51/9.78 tff(10743,plain,
% 14.51/9.78 (~(v90(constB67, bitIndex2) | v90(constB67, bitIndex1) | (~v90(constB67, bitIndex0)))),
% 14.51/9.78 inference(unit_resolution,[status(thm)],[10742, 10741, 10710, 10679])).
% 14.51/9.78 tff(10744,plain,
% 14.51/9.78 ((~(v120(constB67) <=> (~(v90(constB67, bitIndex2) | v90(constB67, bitIndex1) | (~v90(constB67, bitIndex0)))))) | v120(constB67) | (v90(constB67, bitIndex2) | v90(constB67, bitIndex1) | (~v90(constB67, bitIndex0)))),
% 14.51/9.78 inference(tautology,[status(thm)],[])).
% 14.51/9.78 tff(10745,plain,
% 14.51/9.78 (v120(constB67)),
% 14.51/9.78 inference(unit_resolution,[status(thm)],[10744, 10743, 1912])).
% 14.51/9.78 tff(10746,plain,
% 14.51/9.78 ((v119(constB67) | v120(constB67)) | (~v120(constB67))),
% 14.51/9.78 inference(tautology,[status(thm)],[])).
% 14.51/9.78 tff(10747,plain,
% 14.51/9.78 (v119(constB67) | v120(constB67)),
% 14.51/9.78 inference(unit_resolution,[status(thm)],[10746, 10745])).
% 14.51/9.78 tff(10748,plain,
% 14.51/9.78 ((~(v118(constB67) <=> (v119(constB67) | v120(constB67)))) | v118(constB67) | (~(v119(constB67) | v120(constB67)))),
% 14.51/9.78 inference(tautology,[status(thm)],[])).
% 14.51/9.78 tff(10749,plain,
% 14.51/9.78 (v118(constB67)),
% 14.51/9.78 inference(unit_resolution,[status(thm)],[10748, 10747, 1905])).
% 14.51/9.78 tff(10750,plain,
% 14.51/9.78 ((v118(constB67) | v121(constB67)) | (~v118(constB67))),
% 14.51/9.78 inference(tautology,[status(thm)],[])).
% 14.51/9.78 tff(10751,plain,
% 14.51/9.78 (v118(constB67) | v121(constB67)),
% 14.51/9.78 inference(unit_resolution,[status(thm)],[10750, 10749])).
% 14.51/9.78 tff(10752,plain,
% 14.51/9.78 ((~(v117(constB67) <=> (v118(constB67) | v121(constB67)))) | v117(constB67) | (~(v118(constB67) | v121(constB67)))),
% 14.51/9.78 inference(tautology,[status(thm)],[])).
% 14.51/9.78 tff(10753,plain,
% 14.51/9.78 (v117(constB67)),
% 14.51/9.78 inference(unit_resolution,[status(thm)],[10752, 10751, 1903])).
% 14.51/9.78 tff(10754,plain,
% 14.51/9.78 ((v117(constB67) | v122(constB67)) | (~v117(constB67))),
% 14.51/9.78 inference(tautology,[status(thm)],[])).
% 14.51/9.78 tff(10755,plain,
% 14.51/9.78 (v117(constB67) | v122(constB67)),
% 14.51/9.78 inference(unit_resolution,[status(thm)],[10754, 10753])).
% 14.51/9.78 tff(10756,plain,
% 14.51/9.78 ((~(v116(constB67) <=> (v117(constB67) | v122(constB67)))) | v116(constB67) | (~(v117(constB67) | v122(constB67)))),
% 14.51/9.78 inference(tautology,[status(thm)],[])).
% 14.51/9.78 tff(10757,plain,
% 14.51/9.78 (v116(constB67)),
% 14.51/9.78 inference(unit_resolution,[status(thm)],[10756, 10755, 1901])).
% 14.51/9.78 tff(10758,plain,
% 14.51/9.78 ((v116(constB67) | v123(constB67)) | (~v116(constB67))),
% 14.51/9.78 inference(tautology,[status(thm)],[])).
% 14.51/9.78 tff(10759,plain,
% 14.51/9.78 (v116(constB67) | v123(constB67)),
% 14.51/9.78 inference(unit_resolution,[status(thm)],[10758, 10757])).
% 14.51/9.78 tff(10760,plain,
% 14.51/9.78 ((~(v115(constB67) <=> (v116(constB67) | v123(constB67)))) | v115(constB67) | (~(v116(constB67) | v123(constB67)))),
% 14.51/9.78 inference(tautology,[status(thm)],[])).
% 14.51/9.78 tff(10761,plain,
% 14.51/9.78 (v115(constB67)),
% 14.51/9.78 inference(unit_resolution,[status(thm)],[10760, 10759, 1899])).
% 14.51/9.78 tff(10762,plain,
% 14.51/9.78 ((v115(constB67) | v124(constB67)) | (~v115(constB67))),
% 14.51/9.78 inference(tautology,[status(thm)],[])).
% 14.51/9.78 tff(10763,plain,
% 14.51/9.78 (v115(constB67) | v124(constB67)),
% 14.51/9.78 inference(unit_resolution,[status(thm)],[10762, 10761])).
% 14.51/9.78 tff(10764,plain,
% 14.51/9.78 ((~(v114(constB67) <=> (v115(constB67) | v124(constB67)))) | v114(constB67) | (~(v115(constB67) | v124(constB67)))),
% 14.51/9.78 inference(tautology,[status(thm)],[])).
% 14.51/9.78 tff(10765,plain,
% 14.51/9.78 (v114(constB67)),
% 14.51/9.78 inference(unit_resolution,[status(thm)],[10764, 10763, 1897])).
% 14.51/9.78 tff(10766,plain,
% 14.51/9.78 ((v114(constB67) | v125(constB67)) | (~v114(constB67))),
% 14.51/9.78 inference(tautology,[status(thm)],[])).
% 14.51/9.78 tff(10767,plain,
% 14.51/9.78 (v114(constB67) | v125(constB67)),
% 14.51/9.78 inference(unit_resolution,[status(thm)],[10766, 10765])).
% 14.51/9.78 tff(10768,plain,
% 14.51/9.78 ((~(v113(constB67) <=> (v114(constB67) | v125(constB67)))) | v113(constB67) | (~(v114(constB67) | v125(constB67)))),
% 14.51/9.78 inference(tautology,[status(thm)],[])).
% 14.51/9.78 tff(10769,plain,
% 14.51/9.78 (v113(constB67)),
% 14.51/9.78 inference(unit_resolution,[status(thm)],[10768, 10767, 1895])).
% 14.51/9.78 tff(10770,plain,
% 14.51/9.78 ((~![VarCurr: $i] : ((~v126(VarCurr)) <=> v111(VarCurr))) | ((~v126(constB67)) <=> v111(constB67))),
% 14.51/9.78 inference(quant_inst,[status(thm)],[])).
% 14.51/9.78 tff(10771,plain,
% 14.51/9.78 ((~v126(constB67)) <=> v111(constB67)),
% 14.51/9.78 inference(unit_resolution,[status(thm)],[10770, 5074])).
% 14.51/9.78 tff(10772,plain,
% 14.51/9.78 ((~![VarCurr: $i] : (v111(VarCurr) <=> v26(VarCurr))) | (v111(constB67) <=> v26(constB67))),
% 14.51/9.78 inference(quant_inst,[status(thm)],[])).
% 14.51/9.78 tff(10773,plain,
% 14.51/9.78 (v111(constB67) <=> v26(constB67)),
% 14.51/9.78 inference(unit_resolution,[status(thm)],[10772, 5086])).
% 14.51/9.78 tff(10774,plain,
% 14.51/9.78 ((~![VarCurr: $i] : (~v26(VarCurr))) | (~v26(constB67))),
% 14.51/9.78 inference(quant_inst,[status(thm)],[])).
% 14.51/9.78 tff(10775,plain,
% 14.51/9.78 (~v26(constB67)),
% 14.51/9.78 inference(unit_resolution,[status(thm)],[10774, 5098])).
% 14.51/9.78 tff(10776,plain,
% 14.51/9.78 ((~(v111(constB67) <=> v26(constB67))) | (~v111(constB67)) | v26(constB67)),
% 14.51/9.78 inference(tautology,[status(thm)],[])).
% 14.51/9.78 tff(10777,plain,
% 14.51/9.78 ((~(v111(constB67) <=> v26(constB67))) | (~v111(constB67))),
% 14.51/9.78 inference(unit_resolution,[status(thm)],[10776, 10775])).
% 14.51/9.78 tff(10778,plain,
% 14.51/9.78 (~v111(constB67)),
% 14.51/9.78 inference(unit_resolution,[status(thm)],[10777, 10773])).
% 14.51/9.78 tff(10779,plain,
% 14.51/9.78 ((~((~v126(constB67)) <=> v111(constB67))) | v126(constB67) | v111(constB67)),
% 14.51/9.78 inference(tautology,[status(thm)],[])).
% 14.51/9.78 tff(10780,plain,
% 14.51/9.78 ((~((~v126(constB67)) <=> v111(constB67))) | v126(constB67)),
% 14.51/9.78 inference(unit_resolution,[status(thm)],[10779, 10778])).
% 14.51/9.78 tff(10781,plain,
% 14.51/9.78 (v126(constB67)),
% 14.51/9.78 inference(unit_resolution,[status(thm)],[10780, 10771])).
% 14.51/9.78 tff(10782,plain,
% 14.51/9.78 ((~((~v113(constB67)) | (~v126(constB67)))) | (~v113(constB67)) | (~v126(constB67))),
% 14.51/9.78 inference(tautology,[status(thm)],[])).
% 14.51/9.78 tff(10783,plain,
% 14.51/9.78 ((~((~v113(constB67)) | (~v126(constB67)))) | (~v113(constB67))),
% 14.51/9.78 inference(unit_resolution,[status(thm)],[10782, 10781])).
% 14.51/9.78 tff(10784,plain,
% 14.51/9.78 (~((~v113(constB67)) | (~v126(constB67)))),
% 14.51/9.78 inference(unit_resolution,[status(thm)],[10783, 10769])).
% 14.51/9.78 tff(10785,plain,
% 14.51/9.78 ((~(v112(constB67) <=> (~((~v113(constB67)) | (~v126(constB67)))))) | v112(constB67) | ((~v113(constB67)) | (~v126(constB67)))),
% 14.51/9.78 inference(tautology,[status(thm)],[])).
% 14.51/9.78 tff(10786,plain,
% 14.51/9.78 (v112(constB67)),
% 14.51/9.78 inference(unit_resolution,[status(thm)],[10785, 10784, 1893])).
% 14.51/9.78 tff(10787,plain,
% 14.51/9.78 ((v111(constB67) | v112(constB67)) | (~v112(constB67))),
% 14.51/9.78 inference(tautology,[status(thm)],[])).
% 14.51/9.78 tff(10788,plain,
% 14.51/9.78 (v111(constB67) | v112(constB67)),
% 14.51/9.78 inference(unit_resolution,[status(thm)],[10787, 10786])).
% 14.51/9.78 tff(10789,plain,
% 14.51/9.78 ((~(v108(constB67) <=> (v111(constB67) | v112(constB67)))) | v108(constB67) | (~(v111(constB67) | v112(constB67)))),
% 14.51/9.78 inference(tautology,[status(thm)],[])).
% 14.51/9.78 tff(10790,plain,
% 14.51/9.78 (v108(constB67)),
% 14.51/9.78 inference(unit_resolution,[status(thm)],[10789, 10788, 1891])).
% 14.51/9.78 tff(10791,plain,
% 14.51/9.78 ((~(v110(constB68) <=> v108(constB67))) | v110(constB68) | (~v108(constB67))),
% 14.51/9.78 inference(tautology,[status(thm)],[])).
% 14.51/9.78 tff(10792,plain,
% 14.51/9.78 (v110(constB68)),
% 14.51/9.78 inference(unit_resolution,[status(thm)],[10791, 10790, 1889])).
% 14.51/9.78 tff(10793,plain,
% 14.51/9.78 ((~((~v101(constB68)) | (~v110(constB68)))) | (~v101(constB68)) | (~v110(constB68))),
% 14.51/9.78 inference(tautology,[status(thm)],[])).
% 14.51/9.78 tff(10794,plain,
% 14.51/9.78 (~((~v101(constB68)) | (~v110(constB68)))),
% 14.51/9.79 inference(unit_resolution,[status(thm)],[10793, 10792, 1885])).
% 14.51/9.79 tff(10795,plain,
% 14.51/9.79 ((~(v100(constB68) <=> (~((~v101(constB68)) | (~v110(constB68)))))) | v100(constB68) | ((~v101(constB68)) | (~v110(constB68)))),
% 14.51/9.79 inference(tautology,[status(thm)],[])).
% 14.51/9.79 tff(10796,plain,
% 14.51/9.79 (v100(constB68)),
% 14.51/9.79 inference(unit_resolution,[status(thm)],[10795, 10794, 1854])).
% 14.51/9.79 tff(10797,plain,
% 14.51/9.79 (((~![VarNext: $i] : ((~v100(VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v129(VarNext, B))))) | ((~v100(constB68)) | ![B: $i] : ((~less_3(B)) | (v90(constB68, B) <=> v129(constB68, B))))) <=> ((~![VarNext: $i] : ((~v100(VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v129(VarNext, B))))) | (~v100(constB68)) | ![B: $i] : ((~less_3(B)) | (v90(constB68, B) <=> v129(constB68, B))))),
% 14.51/9.79 inference(rewrite,[status(thm)],[])).
% 14.51/9.79 tff(10798,plain,
% 14.51/9.79 ((~![VarNext: $i] : ((~v100(VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v129(VarNext, B))))) | ((~v100(constB68)) | ![B: $i] : ((~less_3(B)) | (v90(constB68, B) <=> v129(constB68, B))))),
% 14.51/9.79 inference(quant_inst,[status(thm)],[])).
% 14.51/9.79 tff(10799,plain,
% 14.51/9.79 ((~![VarNext: $i] : ((~v100(VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v129(VarNext, B))))) | (~v100(constB68)) | ![B: $i] : ((~less_3(B)) | (v90(constB68, B) <=> v129(constB68, B)))),
% 14.51/9.79 inference(modus_ponens,[status(thm)],[10798, 10797])).
% 14.51/9.79 tff(10800,plain,
% 14.51/9.79 ((~v100(constB68)) | ![B: $i] : ((~less_3(B)) | (v90(constB68, B) <=> v129(constB68, B)))),
% 14.51/9.79 inference(unit_resolution,[status(thm)],[10799, 5134])).
% 14.51/9.79 tff(10801,plain,
% 14.51/9.79 (![B: $i] : ((~less_3(B)) | (v90(constB68, B) <=> v129(constB68, B)))),
% 14.51/9.79 inference(unit_resolution,[status(thm)],[10800, 10796])).
% 14.51/9.79 tff(10802,plain,
% 14.51/9.79 (((~![B: $i] : ((~less_3(B)) | (v90(constB68, B) <=> v129(constB68, B)))) | ((~less_3(bitIndex2)) | (v90(constB68, bitIndex2) <=> v129(constB68, bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v90(constB68, B) <=> v129(constB68, B)))) | (~less_3(bitIndex2)) | (v90(constB68, bitIndex2) <=> v129(constB68, bitIndex2)))),
% 14.51/9.79 inference(rewrite,[status(thm)],[])).
% 14.51/9.79 tff(10803,plain,
% 14.51/9.79 ((~![B: $i] : ((~less_3(B)) | (v90(constB68, B) <=> v129(constB68, B)))) | ((~less_3(bitIndex2)) | (v90(constB68, bitIndex2) <=> v129(constB68, bitIndex2)))),
% 14.51/9.79 inference(quant_inst,[status(thm)],[])).
% 14.51/9.79 tff(10804,plain,
% 14.51/9.79 ((~![B: $i] : ((~less_3(B)) | (v90(constB68, B) <=> v129(constB68, B)))) | (~less_3(bitIndex2)) | (v90(constB68, bitIndex2) <=> v129(constB68, bitIndex2))),
% 14.51/9.79 inference(modus_ponens,[status(thm)],[10803, 10802])).
% 14.51/9.79 tff(10805,plain,
% 14.51/9.79 (v90(constB68, bitIndex2) <=> v129(constB68, bitIndex2)),
% 14.51/9.79 inference(unit_resolution,[status(thm)],[10804, 413, 10801])).
% 14.51/9.79 tff(10806,plain,
% 14.51/9.79 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v129(VarNext, B) <=> v127(VarCurr, B))))) | ((~nextState(constB67, constB68)) | ![B: $i] : ((~less_3(B)) | (v129(constB68, B) <=> v127(constB67, B))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v129(VarNext, B) <=> v127(VarCurr, B))))) | (~nextState(constB67, constB68)) | ![B: $i] : ((~less_3(B)) | (v129(constB68, B) <=> v127(constB67, B))))),
% 14.51/9.79 inference(rewrite,[status(thm)],[])).
% 14.51/9.79 tff(10807,plain,
% 14.51/9.79 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v129(VarNext, B) <=> v127(VarCurr, B))))) | ((~nextState(constB67, constB68)) | ![B: $i] : ((~less_3(B)) | (v129(constB68, B) <=> v127(constB67, B))))),
% 14.51/9.79 inference(quant_inst,[status(thm)],[])).
% 14.51/9.79 tff(10808,plain,
% 14.51/9.79 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v129(VarNext, B) <=> v127(VarCurr, B))))) | (~nextState(constB67, constB68)) | ![B: $i] : ((~less_3(B)) | (v129(constB68, B) <=> v127(constB67, B)))),
% 14.51/9.79 inference(modus_ponens,[status(thm)],[10807, 10806])).
% 14.51/9.79 tff(10809,plain,
% 14.51/9.79 (![B: $i] : ((~less_3(B)) | (v129(constB68, B) <=> v127(constB67, B)))),
% 14.51/9.79 inference(unit_resolution,[status(thm)],[10808, 1850, 5156])).
% 14.51/9.79 tff(10810,plain,
% 14.51/9.79 (((~![B: $i] : ((~less_3(B)) | (v129(constB68, B) <=> v127(constB67, B)))) | ((~less_3(bitIndex2)) | (v129(constB68, bitIndex2) <=> v127(constB67, bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v129(constB68, B) <=> v127(constB67, B)))) | (~less_3(bitIndex2)) | (v129(constB68, bitIndex2) <=> v127(constB67, bitIndex2)))),
% 14.51/9.79 inference(rewrite,[status(thm)],[])).
% 14.51/9.79 tff(10811,plain,
% 14.51/9.79 ((~![B: $i] : ((~less_3(B)) | (v129(constB68, B) <=> v127(constB67, B)))) | ((~less_3(bitIndex2)) | (v129(constB68, bitIndex2) <=> v127(constB67, bitIndex2)))),
% 14.51/9.79 inference(quant_inst,[status(thm)],[])).
% 14.51/9.79 tff(10812,plain,
% 14.51/9.79 ((~![B: $i] : ((~less_3(B)) | (v129(constB68, B) <=> v127(constB67, B)))) | (~less_3(bitIndex2)) | (v129(constB68, bitIndex2) <=> v127(constB67, bitIndex2))),
% 14.51/9.79 inference(modus_ponens,[status(thm)],[10811, 10810])).
% 14.51/9.79 tff(10813,plain,
% 14.51/9.79 (v129(constB68, bitIndex2) <=> v127(constB67, bitIndex2)),
% 14.51/9.79 inference(unit_resolution,[status(thm)],[10812, 413, 10809])).
% 14.51/9.79 tff(10814,plain,
% 14.51/9.79 (((~![VarCurr: $i] : (v111(VarCurr) | ![B: $i] : ((~less_3(B)) | (v127(VarCurr, B) <=> v130(VarCurr, B))))) | (v111(constB67) | ![B: $i] : ((~less_3(B)) | (v127(constB67, B) <=> v130(constB67, B))))) <=> ((~![VarCurr: $i] : (v111(VarCurr) | ![B: $i] : ((~less_3(B)) | (v127(VarCurr, B) <=> v130(VarCurr, B))))) | v111(constB67) | ![B: $i] : ((~less_3(B)) | (v127(constB67, B) <=> v130(constB67, B))))),
% 14.51/9.79 inference(rewrite,[status(thm)],[])).
% 14.51/9.79 tff(10815,plain,
% 14.51/9.79 ((~![VarCurr: $i] : (v111(VarCurr) | ![B: $i] : ((~less_3(B)) | (v127(VarCurr, B) <=> v130(VarCurr, B))))) | (v111(constB67) | ![B: $i] : ((~less_3(B)) | (v127(constB67, B) <=> v130(constB67, B))))),
% 14.51/9.79 inference(quant_inst,[status(thm)],[])).
% 14.51/9.79 tff(10816,plain,
% 14.51/9.79 ((~![VarCurr: $i] : (v111(VarCurr) | ![B: $i] : ((~less_3(B)) | (v127(VarCurr, B) <=> v130(VarCurr, B))))) | v111(constB67) | ![B: $i] : ((~less_3(B)) | (v127(constB67, B) <=> v130(constB67, B)))),
% 14.51/9.79 inference(modus_ponens,[status(thm)],[10815, 10814])).
% 14.51/9.79 tff(10817,plain,
% 14.51/9.79 (![B: $i] : ((~less_3(B)) | (v127(constB67, B) <=> v130(constB67, B)))),
% 14.51/9.79 inference(unit_resolution,[status(thm)],[10816, 5177, 10778])).
% 14.51/9.79 tff(10818,plain,
% 14.51/9.79 (((~![B: $i] : ((~less_3(B)) | (v127(constB67, B) <=> v130(constB67, B)))) | ((~less_3(bitIndex2)) | (v127(constB67, bitIndex2) <=> v130(constB67, bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v127(constB67, B) <=> v130(constB67, B)))) | (~less_3(bitIndex2)) | (v127(constB67, bitIndex2) <=> v130(constB67, bitIndex2)))),
% 14.51/9.79 inference(rewrite,[status(thm)],[])).
% 14.51/9.79 tff(10819,plain,
% 14.51/9.79 ((~![B: $i] : ((~less_3(B)) | (v127(constB67, B) <=> v130(constB67, B)))) | ((~less_3(bitIndex2)) | (v127(constB67, bitIndex2) <=> v130(constB67, bitIndex2)))),
% 14.51/9.79 inference(quant_inst,[status(thm)],[])).
% 14.51/9.79 tff(10820,plain,
% 14.51/9.79 ((~![B: $i] : ((~less_3(B)) | (v127(constB67, B) <=> v130(constB67, B)))) | (~less_3(bitIndex2)) | (v127(constB67, bitIndex2) <=> v130(constB67, bitIndex2))),
% 14.51/9.79 inference(modus_ponens,[status(thm)],[10819, 10818])).
% 14.51/9.79 tff(10821,plain,
% 14.51/9.79 (v127(constB67, bitIndex2) <=> v130(constB67, bitIndex2)),
% 14.51/9.79 inference(unit_resolution,[status(thm)],[10820, 413, 10817])).
% 14.51/9.79 tff(10822,plain,
% 14.51/9.79 (((~![VarCurr: $i] : ((~v120(VarCurr)) | ![B: $i] : ((~less_3(B)) | (v130(VarCurr, B) <=> b010(B))))) | ((~v120(constB67)) | ![B: $i] : ((~less_3(B)) | (v130(constB67, B) <=> b010(B))))) <=> ((~![VarCurr: $i] : ((~v120(VarCurr)) | ![B: $i] : ((~less_3(B)) | (v130(VarCurr, B) <=> b010(B))))) | (~v120(constB67)) | ![B: $i] : ((~less_3(B)) | (v130(constB67, B) <=> b010(B))))),
% 14.51/9.79 inference(rewrite,[status(thm)],[])).
% 14.51/9.79 tff(10823,plain,
% 14.51/9.79 ((~![VarCurr: $i] : ((~v120(VarCurr)) | ![B: $i] : ((~less_3(B)) | (v130(VarCurr, B) <=> b010(B))))) | ((~v120(constB67)) | ![B: $i] : ((~less_3(B)) | (v130(constB67, B) <=> b010(B))))),
% 14.51/9.79 inference(quant_inst,[status(thm)],[])).
% 14.51/9.79 tff(10824,plain,
% 14.51/9.79 ((~![VarCurr: $i] : ((~v120(VarCurr)) | ![B: $i] : ((~less_3(B)) | (v130(VarCurr, B) <=> b010(B))))) | (~v120(constB67)) | ![B: $i] : ((~less_3(B)) | (v130(constB67, B) <=> b010(B)))),
% 14.51/9.79 inference(modus_ponens,[status(thm)],[10823, 10822])).
% 14.51/9.79 tff(10825,plain,
% 14.51/9.79 ((~v120(constB67)) | ![B: $i] : ((~less_3(B)) | (v130(constB67, B) <=> b010(B)))),
% 14.51/9.79 inference(unit_resolution,[status(thm)],[10824, 5797])).
% 14.51/9.79 tff(10826,plain,
% 14.51/9.79 (![B: $i] : ((~less_3(B)) | (v130(constB67, B) <=> b010(B)))),
% 14.51/9.79 inference(unit_resolution,[status(thm)],[10825, 10745])).
% 14.51/9.79 tff(10827,plain,
% 14.51/9.79 (((~![B: $i] : ((~less_3(B)) | (v130(constB67, B) <=> b010(B)))) | ((~less_3(bitIndex2)) | (v130(constB67, bitIndex2) <=> b010(bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v130(constB67, B) <=> b010(B)))) | (~less_3(bitIndex2)) | (v130(constB67, bitIndex2) <=> b010(bitIndex2)))),
% 14.51/9.79 inference(rewrite,[status(thm)],[])).
% 14.51/9.79 tff(10828,plain,
% 14.51/9.79 ((~![B: $i] : ((~less_3(B)) | (v130(constB67, B) <=> b010(B)))) | ((~less_3(bitIndex2)) | (v130(constB67, bitIndex2) <=> b010(bitIndex2)))),
% 14.51/9.79 inference(quant_inst,[status(thm)],[])).
% 14.51/9.79 tff(10829,plain,
% 14.51/9.79 ((~![B: $i] : ((~less_3(B)) | (v130(constB67, B) <=> b010(B)))) | (~less_3(bitIndex2)) | (v130(constB67, bitIndex2) <=> b010(bitIndex2))),
% 14.51/9.79 inference(modus_ponens,[status(thm)],[10828, 10827])).
% 14.51/9.79 tff(10830,plain,
% 14.51/9.79 (v130(constB67, bitIndex2) <=> b010(bitIndex2)),
% 14.51/9.79 inference(unit_resolution,[status(thm)],[10829, 413, 10826])).
% 14.51/9.79 tff(10831,plain,
% 14.51/9.79 ((~(v130(constB67, bitIndex2) <=> b010(bitIndex2))) | (~v130(constB67, bitIndex2)) | b010(bitIndex2)),
% 14.51/9.79 inference(tautology,[status(thm)],[])).
% 14.51/9.79 tff(10832,plain,
% 14.51/9.79 ((~(v130(constB67, bitIndex2) <=> b010(bitIndex2))) | (~v130(constB67, bitIndex2))),
% 14.51/9.79 inference(unit_resolution,[status(thm)],[10831, 5809])).
% 14.51/9.79 tff(10833,plain,
% 14.51/9.79 (~v130(constB67, bitIndex2)),
% 14.51/9.79 inference(unit_resolution,[status(thm)],[10832, 10830])).
% 14.51/9.79 tff(10834,plain,
% 14.51/9.79 ((~(v127(constB67, bitIndex2) <=> v130(constB67, bitIndex2))) | (~v127(constB67, bitIndex2)) | v130(constB67, bitIndex2)),
% 14.51/9.79 inference(tautology,[status(thm)],[])).
% 14.51/9.79 tff(10835,plain,
% 14.51/9.79 (~v127(constB67, bitIndex2)),
% 14.51/9.79 inference(unit_resolution,[status(thm)],[10834, 10833, 10821])).
% 14.51/9.79 tff(10836,plain,
% 14.51/9.79 ((~(v129(constB68, bitIndex2) <=> v127(constB67, bitIndex2))) | (~v129(constB68, bitIndex2)) | v127(constB67, bitIndex2)),
% 14.51/9.79 inference(tautology,[status(thm)],[])).
% 14.51/9.79 tff(10837,plain,
% 14.51/9.79 (~v129(constB68, bitIndex2)),
% 14.51/9.79 inference(unit_resolution,[status(thm)],[10836, 10835, 10813])).
% 14.51/9.79 tff(10838,plain,
% 14.51/9.79 ((~(v90(constB68, bitIndex2) <=> v129(constB68, bitIndex2))) | (~v90(constB68, bitIndex2)) | v129(constB68, bitIndex2)),
% 14.51/9.79 inference(tautology,[status(thm)],[])).
% 14.51/9.79 tff(10839,plain,
% 14.51/9.79 (~v90(constB68, bitIndex2)),
% 14.51/9.79 inference(unit_resolution,[status(thm)],[10838, 10837, 10805])).
% 14.51/9.79 tff(10840,plain,
% 14.51/9.79 ((~(v90(constB69, bitIndex2) <=> v90(constB68, bitIndex2))) | (~v90(constB69, bitIndex2)) | v90(constB68, bitIndex2)),
% 14.51/9.79 inference(tautology,[status(thm)],[])).
% 14.51/9.79 tff(10841,plain,
% 14.51/9.79 (~v90(constB69, bitIndex2)),
% 14.51/9.79 inference(unit_resolution,[status(thm)],[10840, 10839, 1847])).
% 14.51/9.79 tff(10842,plain,
% 14.51/9.79 (((~![B: $i] : ((~less_3(B)) | (v90(constB69, B) <=> v90(constB68, B)))) | ((~less_3(bitIndex0)) | (v90(constB69, bitIndex0) <=> v90(constB68, bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v90(constB69, B) <=> v90(constB68, B)))) | (~less_3(bitIndex0)) | (v90(constB69, bitIndex0) <=> v90(constB68, bitIndex0)))),
% 14.51/9.79 inference(rewrite,[status(thm)],[])).
% 14.51/9.79 tff(10843,plain,
% 14.51/9.79 ((~![B: $i] : ((~less_3(B)) | (v90(constB69, B) <=> v90(constB68, B)))) | ((~less_3(bitIndex0)) | (v90(constB69, bitIndex0) <=> v90(constB68, bitIndex0)))),
% 14.51/9.79 inference(quant_inst,[status(thm)],[])).
% 14.51/9.79 tff(10844,plain,
% 14.51/9.79 ((~![B: $i] : ((~less_3(B)) | (v90(constB69, B) <=> v90(constB68, B)))) | (~less_3(bitIndex0)) | (v90(constB69, bitIndex0) <=> v90(constB68, bitIndex0))),
% 14.51/9.79 inference(modus_ponens,[status(thm)],[10843, 10842])).
% 14.51/9.79 tff(10845,plain,
% 14.51/9.79 (v90(constB69, bitIndex0) <=> v90(constB68, bitIndex0)),
% 14.51/9.79 inference(unit_resolution,[status(thm)],[10844, 5004, 1843])).
% 14.51/9.79 tff(10846,plain,
% 14.51/9.79 (((~![B: $i] : ((~less_3(B)) | (v90(constB68, B) <=> v129(constB68, B)))) | ((~less_3(bitIndex0)) | (v90(constB68, bitIndex0) <=> v129(constB68, bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v90(constB68, B) <=> v129(constB68, B)))) | (~less_3(bitIndex0)) | (v90(constB68, bitIndex0) <=> v129(constB68, bitIndex0)))),
% 14.51/9.80 inference(rewrite,[status(thm)],[])).
% 14.51/9.80 tff(10847,plain,
% 14.51/9.80 ((~![B: $i] : ((~less_3(B)) | (v90(constB68, B) <=> v129(constB68, B)))) | ((~less_3(bitIndex0)) | (v90(constB68, bitIndex0) <=> v129(constB68, bitIndex0)))),
% 14.51/9.80 inference(quant_inst,[status(thm)],[])).
% 14.51/9.80 tff(10848,plain,
% 14.51/9.80 ((~![B: $i] : ((~less_3(B)) | (v90(constB68, B) <=> v129(constB68, B)))) | (~less_3(bitIndex0)) | (v90(constB68, bitIndex0) <=> v129(constB68, bitIndex0))),
% 14.51/9.80 inference(modus_ponens,[status(thm)],[10847, 10846])).
% 14.51/9.80 tff(10849,plain,
% 14.51/9.80 (v90(constB68, bitIndex0) <=> v129(constB68, bitIndex0)),
% 14.51/9.80 inference(unit_resolution,[status(thm)],[10848, 5004, 10801])).
% 14.51/9.80 tff(10850,plain,
% 14.51/9.80 (((~![B: $i] : ((~less_3(B)) | (v129(constB68, B) <=> v127(constB67, B)))) | ((~less_3(bitIndex0)) | (v129(constB68, bitIndex0) <=> v127(constB67, bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v129(constB68, B) <=> v127(constB67, B)))) | (~less_3(bitIndex0)) | (v129(constB68, bitIndex0) <=> v127(constB67, bitIndex0)))),
% 14.51/9.80 inference(rewrite,[status(thm)],[])).
% 14.51/9.80 tff(10851,plain,
% 14.51/9.80 ((~![B: $i] : ((~less_3(B)) | (v129(constB68, B) <=> v127(constB67, B)))) | ((~less_3(bitIndex0)) | (v129(constB68, bitIndex0) <=> v127(constB67, bitIndex0)))),
% 14.51/9.80 inference(quant_inst,[status(thm)],[])).
% 14.51/9.80 tff(10852,plain,
% 14.51/9.80 ((~![B: $i] : ((~less_3(B)) | (v129(constB68, B) <=> v127(constB67, B)))) | (~less_3(bitIndex0)) | (v129(constB68, bitIndex0) <=> v127(constB67, bitIndex0))),
% 14.51/9.80 inference(modus_ponens,[status(thm)],[10851, 10850])).
% 14.51/9.80 tff(10853,plain,
% 14.51/9.80 (v129(constB68, bitIndex0) <=> v127(constB67, bitIndex0)),
% 14.51/9.80 inference(unit_resolution,[status(thm)],[10852, 5004, 10809])).
% 14.51/9.80 tff(10854,plain,
% 14.51/9.80 (((~![B: $i] : ((~less_3(B)) | (v127(constB67, B) <=> v130(constB67, B)))) | ((~less_3(bitIndex0)) | (v127(constB67, bitIndex0) <=> v130(constB67, bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v127(constB67, B) <=> v130(constB67, B)))) | (~less_3(bitIndex0)) | (v127(constB67, bitIndex0) <=> v130(constB67, bitIndex0)))),
% 14.51/9.80 inference(rewrite,[status(thm)],[])).
% 14.51/9.80 tff(10855,plain,
% 14.51/9.80 ((~![B: $i] : ((~less_3(B)) | (v127(constB67, B) <=> v130(constB67, B)))) | ((~less_3(bitIndex0)) | (v127(constB67, bitIndex0) <=> v130(constB67, bitIndex0)))),
% 14.51/9.80 inference(quant_inst,[status(thm)],[])).
% 14.51/9.80 tff(10856,plain,
% 14.51/9.80 ((~![B: $i] : ((~less_3(B)) | (v127(constB67, B) <=> v130(constB67, B)))) | (~less_3(bitIndex0)) | (v127(constB67, bitIndex0) <=> v130(constB67, bitIndex0))),
% 14.51/9.80 inference(modus_ponens,[status(thm)],[10855, 10854])).
% 14.51/9.80 tff(10857,plain,
% 14.51/9.80 (v127(constB67, bitIndex0) <=> v130(constB67, bitIndex0)),
% 14.51/9.80 inference(unit_resolution,[status(thm)],[10856, 5004, 10817])).
% 14.51/9.80 tff(10858,plain,
% 14.51/9.80 (((~![B: $i] : ((~less_3(B)) | (v130(constB67, B) <=> b010(B)))) | ((~less_3(bitIndex0)) | (v130(constB67, bitIndex0) <=> b010(bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v130(constB67, B) <=> b010(B)))) | (~less_3(bitIndex0)) | (v130(constB67, bitIndex0) <=> b010(bitIndex0)))),
% 14.51/9.80 inference(rewrite,[status(thm)],[])).
% 14.51/9.80 tff(10859,plain,
% 14.51/9.80 ((~![B: $i] : ((~less_3(B)) | (v130(constB67, B) <=> b010(B)))) | ((~less_3(bitIndex0)) | (v130(constB67, bitIndex0) <=> b010(bitIndex0)))),
% 14.51/9.80 inference(quant_inst,[status(thm)],[])).
% 14.51/9.80 tff(10860,plain,
% 14.51/9.80 ((~![B: $i] : ((~less_3(B)) | (v130(constB67, B) <=> b010(B)))) | (~less_3(bitIndex0)) | (v130(constB67, bitIndex0) <=> b010(bitIndex0))),
% 14.51/9.80 inference(modus_ponens,[status(thm)],[10859, 10858])).
% 14.51/9.80 tff(10861,plain,
% 14.51/9.80 (v130(constB67, bitIndex0) <=> b010(bitIndex0)),
% 14.51/9.80 inference(unit_resolution,[status(thm)],[10860, 5004, 10826])).
% 14.51/9.80 tff(10862,plain,
% 14.51/9.80 ((~(v130(constB67, bitIndex0) <=> b010(bitIndex0))) | (~v130(constB67, bitIndex0)) | b010(bitIndex0)),
% 14.51/9.80 inference(tautology,[status(thm)],[])).
% 14.51/9.80 tff(10863,plain,
% 14.51/9.80 ((~(v130(constB67, bitIndex0) <=> b010(bitIndex0))) | (~v130(constB67, bitIndex0))),
% 14.51/9.80 inference(unit_resolution,[status(thm)],[10862, 5843])).
% 14.51/9.80 tff(10864,plain,
% 14.51/9.80 (~v130(constB67, bitIndex0)),
% 14.51/9.80 inference(unit_resolution,[status(thm)],[10863, 10861])).
% 14.51/9.80 tff(10865,plain,
% 14.51/9.80 ((~(v127(constB67, bitIndex0) <=> v130(constB67, bitIndex0))) | (~v127(constB67, bitIndex0)) | v130(constB67, bitIndex0)),
% 14.51/9.80 inference(tautology,[status(thm)],[])).
% 14.51/9.80 tff(10866,plain,
% 14.51/9.80 (~v127(constB67, bitIndex0)),
% 14.51/9.80 inference(unit_resolution,[status(thm)],[10865, 10864, 10857])).
% 14.51/9.80 tff(10867,plain,
% 14.51/9.80 ((~(v129(constB68, bitIndex0) <=> v127(constB67, bitIndex0))) | (~v129(constB68, bitIndex0)) | v127(constB67, bitIndex0)),
% 14.51/9.80 inference(tautology,[status(thm)],[])).
% 14.51/9.80 tff(10868,plain,
% 14.51/9.80 (~v129(constB68, bitIndex0)),
% 14.51/9.80 inference(unit_resolution,[status(thm)],[10867, 10866, 10853])).
% 14.51/9.80 tff(10869,plain,
% 14.51/9.80 ((~(v90(constB68, bitIndex0) <=> v129(constB68, bitIndex0))) | (~v90(constB68, bitIndex0)) | v129(constB68, bitIndex0)),
% 14.51/9.80 inference(tautology,[status(thm)],[])).
% 14.51/9.80 tff(10870,plain,
% 14.51/9.80 (~v90(constB68, bitIndex0)),
% 14.51/9.80 inference(unit_resolution,[status(thm)],[10869, 10868, 10849])).
% 14.51/9.80 tff(10871,plain,
% 14.51/9.80 ((~(v90(constB69, bitIndex0) <=> v90(constB68, bitIndex0))) | (~v90(constB69, bitIndex0)) | v90(constB68, bitIndex0)),
% 14.51/9.80 inference(tautology,[status(thm)],[])).
% 14.51/9.80 tff(10872,plain,
% 14.51/9.80 (~v90(constB69, bitIndex0)),
% 14.51/9.80 inference(unit_resolution,[status(thm)],[10871, 10870, 10845])).
% 14.51/9.80 tff(10873,plain,
% 14.51/9.80 (((~![B: $i] : ((~less_3(B)) | (v90(constB69, B) <=> v90(constB68, B)))) | ((~less_3(bitIndex1)) | (v90(constB69, bitIndex1) <=> v90(constB68, bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v90(constB69, B) <=> v90(constB68, B)))) | (~less_3(bitIndex1)) | (v90(constB69, bitIndex1) <=> v90(constB68, bitIndex1)))),
% 14.51/9.80 inference(rewrite,[status(thm)],[])).
% 14.51/9.80 tff(10874,plain,
% 14.51/9.80 ((~![B: $i] : ((~less_3(B)) | (v90(constB69, B) <=> v90(constB68, B)))) | ((~less_3(bitIndex1)) | (v90(constB69, bitIndex1) <=> v90(constB68, bitIndex1)))),
% 14.51/9.80 inference(quant_inst,[status(thm)],[])).
% 14.51/9.80 tff(10875,plain,
% 14.51/9.80 ((~![B: $i] : ((~less_3(B)) | (v90(constB69, B) <=> v90(constB68, B)))) | (~less_3(bitIndex1)) | (v90(constB69, bitIndex1) <=> v90(constB68, bitIndex1))),
% 14.51/9.80 inference(modus_ponens,[status(thm)],[10874, 10873])).
% 14.51/9.80 tff(10876,plain,
% 14.51/9.80 (v90(constB69, bitIndex1) <=> v90(constB68, bitIndex1)),
% 14.51/9.80 inference(unit_resolution,[status(thm)],[10875, 5017, 1843])).
% 14.51/9.80 tff(10877,plain,
% 14.51/9.80 (((~![B: $i] : ((~less_3(B)) | (v90(constB68, B) <=> v129(constB68, B)))) | ((~less_3(bitIndex1)) | (v90(constB68, bitIndex1) <=> v129(constB68, bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v90(constB68, B) <=> v129(constB68, B)))) | (~less_3(bitIndex1)) | (v90(constB68, bitIndex1) <=> v129(constB68, bitIndex1)))),
% 14.51/9.80 inference(rewrite,[status(thm)],[])).
% 14.51/9.80 tff(10878,plain,
% 14.51/9.80 ((~![B: $i] : ((~less_3(B)) | (v90(constB68, B) <=> v129(constB68, B)))) | ((~less_3(bitIndex1)) | (v90(constB68, bitIndex1) <=> v129(constB68, bitIndex1)))),
% 14.51/9.80 inference(quant_inst,[status(thm)],[])).
% 14.51/9.80 tff(10879,plain,
% 14.51/9.80 ((~![B: $i] : ((~less_3(B)) | (v90(constB68, B) <=> v129(constB68, B)))) | (~less_3(bitIndex1)) | (v90(constB68, bitIndex1) <=> v129(constB68, bitIndex1))),
% 14.51/9.80 inference(modus_ponens,[status(thm)],[10878, 10877])).
% 14.51/9.80 tff(10880,plain,
% 14.51/9.80 (v90(constB68, bitIndex1) <=> v129(constB68, bitIndex1)),
% 14.51/9.80 inference(unit_resolution,[status(thm)],[10879, 5017, 10801])).
% 14.51/9.80 tff(10881,plain,
% 14.51/9.80 (((~![B: $i] : ((~less_3(B)) | (v129(constB68, B) <=> v127(constB67, B)))) | ((~less_3(bitIndex1)) | (v129(constB68, bitIndex1) <=> v127(constB67, bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v129(constB68, B) <=> v127(constB67, B)))) | (~less_3(bitIndex1)) | (v129(constB68, bitIndex1) <=> v127(constB67, bitIndex1)))),
% 14.51/9.80 inference(rewrite,[status(thm)],[])).
% 14.51/9.80 tff(10882,plain,
% 14.51/9.80 ((~![B: $i] : ((~less_3(B)) | (v129(constB68, B) <=> v127(constB67, B)))) | ((~less_3(bitIndex1)) | (v129(constB68, bitIndex1) <=> v127(constB67, bitIndex1)))),
% 14.51/9.80 inference(quant_inst,[status(thm)],[])).
% 14.51/9.80 tff(10883,plain,
% 14.51/9.80 ((~![B: $i] : ((~less_3(B)) | (v129(constB68, B) <=> v127(constB67, B)))) | (~less_3(bitIndex1)) | (v129(constB68, bitIndex1) <=> v127(constB67, bitIndex1))),
% 14.51/9.80 inference(modus_ponens,[status(thm)],[10882, 10881])).
% 14.51/9.80 tff(10884,plain,
% 14.51/9.80 (v129(constB68, bitIndex1) <=> v127(constB67, bitIndex1)),
% 14.51/9.80 inference(unit_resolution,[status(thm)],[10883, 5017, 10809])).
% 14.51/9.80 tff(10885,plain,
% 14.51/9.80 (((~![B: $i] : ((~less_3(B)) | (v127(constB67, B) <=> v130(constB67, B)))) | ((~less_3(bitIndex1)) | (v127(constB67, bitIndex1) <=> v130(constB67, bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v127(constB67, B) <=> v130(constB67, B)))) | (~less_3(bitIndex1)) | (v127(constB67, bitIndex1) <=> v130(constB67, bitIndex1)))),
% 14.51/9.80 inference(rewrite,[status(thm)],[])).
% 14.51/9.80 tff(10886,plain,
% 14.51/9.80 ((~![B: $i] : ((~less_3(B)) | (v127(constB67, B) <=> v130(constB67, B)))) | ((~less_3(bitIndex1)) | (v127(constB67, bitIndex1) <=> v130(constB67, bitIndex1)))),
% 14.51/9.80 inference(quant_inst,[status(thm)],[])).
% 14.51/9.80 tff(10887,plain,
% 14.51/9.80 ((~![B: $i] : ((~less_3(B)) | (v127(constB67, B) <=> v130(constB67, B)))) | (~less_3(bitIndex1)) | (v127(constB67, bitIndex1) <=> v130(constB67, bitIndex1))),
% 14.51/9.80 inference(modus_ponens,[status(thm)],[10886, 10885])).
% 14.51/9.80 tff(10888,plain,
% 14.51/9.80 (v127(constB67, bitIndex1) <=> v130(constB67, bitIndex1)),
% 14.51/9.80 inference(unit_resolution,[status(thm)],[10887, 5017, 10817])).
% 14.51/9.80 tff(10889,plain,
% 14.51/9.80 (((~![B: $i] : ((~less_3(B)) | (v130(constB67, B) <=> b010(B)))) | ((~less_3(bitIndex1)) | (v130(constB67, bitIndex1) <=> b010(bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v130(constB67, B) <=> b010(B)))) | (~less_3(bitIndex1)) | (v130(constB67, bitIndex1) <=> b010(bitIndex1)))),
% 14.51/9.80 inference(rewrite,[status(thm)],[])).
% 14.51/9.80 tff(10890,plain,
% 14.51/9.80 ((~![B: $i] : ((~less_3(B)) | (v130(constB67, B) <=> b010(B)))) | ((~less_3(bitIndex1)) | (v130(constB67, bitIndex1) <=> b010(bitIndex1)))),
% 14.51/9.80 inference(quant_inst,[status(thm)],[])).
% 14.51/9.80 tff(10891,plain,
% 14.51/9.80 ((~![B: $i] : ((~less_3(B)) | (v130(constB67, B) <=> b010(B)))) | (~less_3(bitIndex1)) | (v130(constB67, bitIndex1) <=> b010(bitIndex1))),
% 14.51/9.80 inference(modus_ponens,[status(thm)],[10890, 10889])).
% 14.51/9.80 tff(10892,plain,
% 14.51/9.80 (v130(constB67, bitIndex1) <=> b010(bitIndex1)),
% 14.51/9.80 inference(unit_resolution,[status(thm)],[10891, 5017, 10826])).
% 14.51/9.80 tff(10893,plain,
% 14.51/9.80 ((~(v130(constB67, bitIndex1) <=> b010(bitIndex1))) | v130(constB67, bitIndex1) | (~b010(bitIndex1))),
% 14.51/9.80 inference(tautology,[status(thm)],[])).
% 14.51/9.80 tff(10894,plain,
% 14.51/9.80 ((~(v130(constB67, bitIndex1) <=> b010(bitIndex1))) | v130(constB67, bitIndex1)),
% 14.51/9.80 inference(unit_resolution,[status(thm)],[10893, 5877])).
% 14.51/9.80 tff(10895,plain,
% 14.51/9.80 (v130(constB67, bitIndex1)),
% 14.51/9.80 inference(unit_resolution,[status(thm)],[10894, 10892])).
% 14.51/9.80 tff(10896,plain,
% 14.51/9.80 ((~(v127(constB67, bitIndex1) <=> v130(constB67, bitIndex1))) | v127(constB67, bitIndex1) | (~v130(constB67, bitIndex1))),
% 14.51/9.80 inference(tautology,[status(thm)],[])).
% 14.51/9.80 tff(10897,plain,
% 14.51/9.80 (v127(constB67, bitIndex1)),
% 14.51/9.80 inference(unit_resolution,[status(thm)],[10896, 10895, 10888])).
% 14.51/9.80 tff(10898,plain,
% 14.51/9.80 ((~(v129(constB68, bitIndex1) <=> v127(constB67, bitIndex1))) | v129(constB68, bitIndex1) | (~v127(constB67, bitIndex1))),
% 14.51/9.80 inference(tautology,[status(thm)],[])).
% 14.51/9.80 tff(10899,plain,
% 14.51/9.80 (v129(constB68, bitIndex1)),
% 14.51/9.80 inference(unit_resolution,[status(thm)],[10898, 10897, 10884])).
% 14.51/9.80 tff(10900,plain,
% 14.51/9.80 ((~(v90(constB68, bitIndex1) <=> v129(constB68, bitIndex1))) | v90(constB68, bitIndex1) | (~v129(constB68, bitIndex1))),
% 14.51/9.80 inference(tautology,[status(thm)],[])).
% 14.51/9.80 tff(10901,plain,
% 14.51/9.80 (v90(constB68, bitIndex1)),
% 14.51/9.80 inference(unit_resolution,[status(thm)],[10900, 10899, 10880])).
% 14.51/9.80 tff(10902,plain,
% 14.51/9.80 ((~(v90(constB69, bitIndex1) <=> v90(constB68, bitIndex1))) | v90(constB69, bitIndex1) | (~v90(constB68, bitIndex1))),
% 14.51/9.80 inference(tautology,[status(thm)],[])).
% 14.51/9.80 tff(10903,plain,
% 14.51/9.80 (v90(constB69, bitIndex1)),
% 14.51/9.80 inference(unit_resolution,[status(thm)],[10902, 10901, 10876])).
% 14.51/9.80 tff(10904,plain,
% 14.51/9.80 ((~(v90(constB69, bitIndex2) | (~v90(constB69, bitIndex1)) | v90(constB69, bitIndex0))) | v90(constB69, bitIndex2) | (~v90(constB69, bitIndex1)) | v90(constB69, bitIndex0)),
% 14.51/9.80 inference(tautology,[status(thm)],[])).
% 14.51/9.80 tff(10905,plain,
% 14.51/9.80 (~(v90(constB69, bitIndex2) | (~v90(constB69, bitIndex1)) | v90(constB69, bitIndex0))),
% 14.51/9.80 inference(unit_resolution,[status(thm)],[10904, 10903, 10872, 10841])).
% 14.51/9.80 tff(10906,plain,
% 14.51/9.80 ((~(v121(constB69) <=> (~(v90(constB69, bitIndex2) | (~v90(constB69, bitIndex1)) | v90(constB69, bitIndex0))))) | v121(constB69) | (v90(constB69, bitIndex2) | (~v90(constB69, bitIndex1)) | v90(constB69, bitIndex0))),
% 14.51/9.80 inference(tautology,[status(thm)],[])).
% 14.51/9.80 tff(10907,plain,
% 14.51/9.80 (v121(constB69)),
% 14.51/9.80 inference(unit_resolution,[status(thm)],[10906, 10905, 1815])).
% 14.51/9.80 tff(10908,plain,
% 14.51/9.80 ((v118(constB69) | v121(constB69)) | (~v121(constB69))),
% 14.51/9.80 inference(tautology,[status(thm)],[])).
% 14.51/9.80 tff(10909,plain,
% 14.51/9.80 (v118(constB69) | v121(constB69)),
% 14.51/9.80 inference(unit_resolution,[status(thm)],[10908, 10907])).
% 14.51/9.80 tff(10910,plain,
% 14.51/9.80 ((~(v117(constB69) <=> (v118(constB69) | v121(constB69)))) | v117(constB69) | (~(v118(constB69) | v121(constB69)))),
% 14.51/9.80 inference(tautology,[status(thm)],[])).
% 14.51/9.80 tff(10911,plain,
% 14.51/9.80 (v117(constB69)),
% 14.51/9.80 inference(unit_resolution,[status(thm)],[10910, 10909, 1808])).
% 14.51/9.80 tff(10912,plain,
% 14.51/9.80 ((v117(constB69) | v122(constB69)) | (~v117(constB69))),
% 14.51/9.80 inference(tautology,[status(thm)],[])).
% 14.51/9.80 tff(10913,plain,
% 14.51/9.80 (v117(constB69) | v122(constB69)),
% 14.51/9.80 inference(unit_resolution,[status(thm)],[10912, 10911])).
% 14.51/9.80 tff(10914,plain,
% 14.51/9.80 ((~(v116(constB69) <=> (v117(constB69) | v122(constB69)))) | v116(constB69) | (~(v117(constB69) | v122(constB69)))),
% 14.51/9.80 inference(tautology,[status(thm)],[])).
% 14.51/9.80 tff(10915,plain,
% 14.51/9.80 (v116(constB69)),
% 14.51/9.80 inference(unit_resolution,[status(thm)],[10914, 10913, 1806])).
% 14.51/9.80 tff(10916,plain,
% 14.51/9.80 ((v116(constB69) | v123(constB69)) | (~v116(constB69))),
% 14.51/9.80 inference(tautology,[status(thm)],[])).
% 14.51/9.80 tff(10917,plain,
% 14.51/9.80 (v116(constB69) | v123(constB69)),
% 14.51/9.80 inference(unit_resolution,[status(thm)],[10916, 10915])).
% 14.51/9.80 tff(10918,plain,
% 14.51/9.80 ((~(v115(constB69) <=> (v116(constB69) | v123(constB69)))) | v115(constB69) | (~(v116(constB69) | v123(constB69)))),
% 14.51/9.80 inference(tautology,[status(thm)],[])).
% 14.51/9.80 tff(10919,plain,
% 14.51/9.80 (v115(constB69)),
% 14.51/9.80 inference(unit_resolution,[status(thm)],[10918, 10917, 1804])).
% 14.51/9.80 tff(10920,plain,
% 14.51/9.80 ((v115(constB69) | v124(constB69)) | (~v115(constB69))),
% 14.51/9.80 inference(tautology,[status(thm)],[])).
% 14.51/9.80 tff(10921,plain,
% 14.51/9.80 (v115(constB69) | v124(constB69)),
% 14.51/9.80 inference(unit_resolution,[status(thm)],[10920, 10919])).
% 14.51/9.80 tff(10922,plain,
% 14.51/9.80 ((~(v114(constB69) <=> (v115(constB69) | v124(constB69)))) | v114(constB69) | (~(v115(constB69) | v124(constB69)))),
% 14.51/9.80 inference(tautology,[status(thm)],[])).
% 14.51/9.80 tff(10923,plain,
% 14.51/9.80 (v114(constB69)),
% 14.51/9.80 inference(unit_resolution,[status(thm)],[10922, 10921, 1802])).
% 14.51/9.80 tff(10924,plain,
% 14.51/9.80 ((v114(constB69) | v125(constB69)) | (~v114(constB69))),
% 14.51/9.80 inference(tautology,[status(thm)],[])).
% 14.51/9.80 tff(10925,plain,
% 14.51/9.80 (v114(constB69) | v125(constB69)),
% 14.51/9.80 inference(unit_resolution,[status(thm)],[10924, 10923])).
% 14.51/9.80 tff(10926,plain,
% 14.51/9.80 ((~(v113(constB69) <=> (v114(constB69) | v125(constB69)))) | v113(constB69) | (~(v114(constB69) | v125(constB69)))),
% 14.51/9.80 inference(tautology,[status(thm)],[])).
% 14.51/9.80 tff(10927,plain,
% 14.51/9.80 (v113(constB69)),
% 14.51/9.80 inference(unit_resolution,[status(thm)],[10926, 10925, 1800])).
% 14.51/9.80 tff(10928,plain,
% 14.51/9.80 ((~![VarCurr: $i] : ((~v126(VarCurr)) <=> v111(VarCurr))) | ((~v126(constB69)) <=> v111(constB69))),
% 14.51/9.80 inference(quant_inst,[status(thm)],[])).
% 14.51/9.80 tff(10929,plain,
% 14.51/9.80 ((~v126(constB69)) <=> v111(constB69)),
% 14.51/9.80 inference(unit_resolution,[status(thm)],[10928, 5074])).
% 14.51/9.80 tff(10930,plain,
% 14.51/9.80 ((~![VarCurr: $i] : (v111(VarCurr) <=> v26(VarCurr))) | (v111(constB69) <=> v26(constB69))),
% 14.51/9.80 inference(quant_inst,[status(thm)],[])).
% 14.51/9.80 tff(10931,plain,
% 14.51/9.80 (v111(constB69) <=> v26(constB69)),
% 14.51/9.80 inference(unit_resolution,[status(thm)],[10930, 5086])).
% 14.51/9.80 tff(10932,plain,
% 14.51/9.80 ((~![VarCurr: $i] : (~v26(VarCurr))) | (~v26(constB69))),
% 14.51/9.80 inference(quant_inst,[status(thm)],[])).
% 14.51/9.80 tff(10933,plain,
% 14.51/9.80 (~v26(constB69)),
% 14.51/9.80 inference(unit_resolution,[status(thm)],[10932, 5098])).
% 14.51/9.80 tff(10934,plain,
% 14.51/9.80 ((~(v111(constB69) <=> v26(constB69))) | (~v111(constB69)) | v26(constB69)),
% 14.51/9.80 inference(tautology,[status(thm)],[])).
% 14.51/9.80 tff(10935,plain,
% 14.51/9.80 ((~(v111(constB69) <=> v26(constB69))) | (~v111(constB69))),
% 14.51/9.81 inference(unit_resolution,[status(thm)],[10934, 10933])).
% 14.51/9.81 tff(10936,plain,
% 14.51/9.81 (~v111(constB69)),
% 14.51/9.81 inference(unit_resolution,[status(thm)],[10935, 10931])).
% 14.51/9.81 tff(10937,plain,
% 14.51/9.81 ((~((~v126(constB69)) <=> v111(constB69))) | v126(constB69) | v111(constB69)),
% 14.51/9.81 inference(tautology,[status(thm)],[])).
% 14.51/9.81 tff(10938,plain,
% 14.51/9.81 ((~((~v126(constB69)) <=> v111(constB69))) | v126(constB69)),
% 14.51/9.81 inference(unit_resolution,[status(thm)],[10937, 10936])).
% 14.51/9.81 tff(10939,plain,
% 14.51/9.81 (v126(constB69)),
% 14.51/9.81 inference(unit_resolution,[status(thm)],[10938, 10929])).
% 14.51/9.81 tff(10940,plain,
% 14.51/9.81 ((~((~v113(constB69)) | (~v126(constB69)))) | (~v113(constB69)) | (~v126(constB69))),
% 14.51/9.81 inference(tautology,[status(thm)],[])).
% 14.51/9.81 tff(10941,plain,
% 14.51/9.81 ((~((~v113(constB69)) | (~v126(constB69)))) | (~v113(constB69))),
% 14.51/9.81 inference(unit_resolution,[status(thm)],[10940, 10939])).
% 14.51/9.81 tff(10942,plain,
% 14.51/9.81 (~((~v113(constB69)) | (~v126(constB69)))),
% 14.51/9.81 inference(unit_resolution,[status(thm)],[10941, 10927])).
% 14.51/9.81 tff(10943,plain,
% 14.51/9.81 ((~(v112(constB69) <=> (~((~v113(constB69)) | (~v126(constB69)))))) | v112(constB69) | ((~v113(constB69)) | (~v126(constB69)))),
% 14.51/9.81 inference(tautology,[status(thm)],[])).
% 14.51/9.81 tff(10944,plain,
% 14.51/9.81 (v112(constB69)),
% 14.51/9.81 inference(unit_resolution,[status(thm)],[10943, 10942, 1798])).
% 14.51/9.81 tff(10945,plain,
% 14.51/9.81 ((v111(constB69) | v112(constB69)) | (~v112(constB69))),
% 14.51/9.81 inference(tautology,[status(thm)],[])).
% 14.51/9.81 tff(10946,plain,
% 14.51/9.81 (v111(constB69) | v112(constB69)),
% 14.51/9.81 inference(unit_resolution,[status(thm)],[10945, 10944])).
% 14.51/9.81 tff(10947,plain,
% 14.51/9.81 ((~(v108(constB69) <=> (v111(constB69) | v112(constB69)))) | v108(constB69) | (~(v111(constB69) | v112(constB69)))),
% 14.51/9.81 inference(tautology,[status(thm)],[])).
% 14.51/9.81 tff(10948,plain,
% 14.51/9.81 (v108(constB69)),
% 14.51/9.81 inference(unit_resolution,[status(thm)],[10947, 10946, 1796])).
% 14.51/9.81 tff(10949,plain,
% 14.51/9.81 ((~(v110(constB70) <=> v108(constB69))) | v110(constB70) | (~v108(constB69))),
% 14.51/9.81 inference(tautology,[status(thm)],[])).
% 14.51/9.81 tff(10950,plain,
% 14.51/9.81 (v110(constB70)),
% 14.51/9.81 inference(unit_resolution,[status(thm)],[10949, 10948, 1794])).
% 14.51/9.81 tff(10951,plain,
% 14.51/9.81 ((~((~v101(constB70)) | (~v110(constB70)))) | (~v101(constB70)) | (~v110(constB70))),
% 14.51/9.81 inference(tautology,[status(thm)],[])).
% 14.51/9.81 tff(10952,plain,
% 14.51/9.81 (~((~v101(constB70)) | (~v110(constB70)))),
% 14.51/9.81 inference(unit_resolution,[status(thm)],[10951, 10950, 1790])).
% 14.51/9.81 tff(10953,plain,
% 14.51/9.81 ((~(v100(constB70) <=> (~((~v101(constB70)) | (~v110(constB70)))))) | v100(constB70) | ((~v101(constB70)) | (~v110(constB70)))),
% 14.51/9.81 inference(tautology,[status(thm)],[])).
% 14.51/9.81 tff(10954,plain,
% 14.51/9.81 (v100(constB70)),
% 14.51/9.81 inference(unit_resolution,[status(thm)],[10953, 10952, 1759])).
% 14.51/9.81 tff(10955,plain,
% 14.51/9.81 (((~![VarNext: $i] : ((~v100(VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v129(VarNext, B))))) | ((~v100(constB70)) | ![B: $i] : ((~less_3(B)) | (v90(constB70, B) <=> v129(constB70, B))))) <=> ((~![VarNext: $i] : ((~v100(VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v129(VarNext, B))))) | (~v100(constB70)) | ![B: $i] : ((~less_3(B)) | (v90(constB70, B) <=> v129(constB70, B))))),
% 14.51/9.81 inference(rewrite,[status(thm)],[])).
% 14.51/9.81 tff(10956,plain,
% 14.51/9.81 ((~![VarNext: $i] : ((~v100(VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v129(VarNext, B))))) | ((~v100(constB70)) | ![B: $i] : ((~less_3(B)) | (v90(constB70, B) <=> v129(constB70, B))))),
% 14.51/9.81 inference(quant_inst,[status(thm)],[])).
% 14.51/9.81 tff(10957,plain,
% 14.51/9.81 ((~![VarNext: $i] : ((~v100(VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v129(VarNext, B))))) | (~v100(constB70)) | ![B: $i] : ((~less_3(B)) | (v90(constB70, B) <=> v129(constB70, B)))),
% 14.51/9.81 inference(modus_ponens,[status(thm)],[10956, 10955])).
% 14.51/9.81 tff(10958,plain,
% 14.51/9.81 ((~v100(constB70)) | ![B: $i] : ((~less_3(B)) | (v90(constB70, B) <=> v129(constB70, B)))),
% 14.51/9.81 inference(unit_resolution,[status(thm)],[10957, 5134])).
% 14.51/9.81 tff(10959,plain,
% 14.51/9.81 (![B: $i] : ((~less_3(B)) | (v90(constB70, B) <=> v129(constB70, B)))),
% 14.51/9.81 inference(unit_resolution,[status(thm)],[10958, 10954])).
% 14.51/9.81 tff(10960,plain,
% 14.51/9.81 (((~![B: $i] : ((~less_3(B)) | (v90(constB70, B) <=> v129(constB70, B)))) | ((~less_3(bitIndex2)) | (v90(constB70, bitIndex2) <=> v129(constB70, bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v90(constB70, B) <=> v129(constB70, B)))) | (~less_3(bitIndex2)) | (v90(constB70, bitIndex2) <=> v129(constB70, bitIndex2)))),
% 14.51/9.81 inference(rewrite,[status(thm)],[])).
% 14.51/9.81 tff(10961,plain,
% 14.51/9.81 ((~![B: $i] : ((~less_3(B)) | (v90(constB70, B) <=> v129(constB70, B)))) | ((~less_3(bitIndex2)) | (v90(constB70, bitIndex2) <=> v129(constB70, bitIndex2)))),
% 14.51/9.81 inference(quant_inst,[status(thm)],[])).
% 14.51/9.81 tff(10962,plain,
% 14.51/9.81 ((~![B: $i] : ((~less_3(B)) | (v90(constB70, B) <=> v129(constB70, B)))) | (~less_3(bitIndex2)) | (v90(constB70, bitIndex2) <=> v129(constB70, bitIndex2))),
% 14.51/9.81 inference(modus_ponens,[status(thm)],[10961, 10960])).
% 14.51/9.81 tff(10963,plain,
% 14.51/9.81 (v90(constB70, bitIndex2) <=> v129(constB70, bitIndex2)),
% 14.51/9.81 inference(unit_resolution,[status(thm)],[10962, 413, 10959])).
% 14.51/9.81 tff(10964,plain,
% 14.51/9.81 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v129(VarNext, B) <=> v127(VarCurr, B))))) | ((~nextState(constB69, constB70)) | ![B: $i] : ((~less_3(B)) | (v129(constB70, B) <=> v127(constB69, B))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v129(VarNext, B) <=> v127(VarCurr, B))))) | (~nextState(constB69, constB70)) | ![B: $i] : ((~less_3(B)) | (v129(constB70, B) <=> v127(constB69, B))))),
% 14.51/9.81 inference(rewrite,[status(thm)],[])).
% 14.51/9.81 tff(10965,plain,
% 14.51/9.81 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v129(VarNext, B) <=> v127(VarCurr, B))))) | ((~nextState(constB69, constB70)) | ![B: $i] : ((~less_3(B)) | (v129(constB70, B) <=> v127(constB69, B))))),
% 14.51/9.81 inference(quant_inst,[status(thm)],[])).
% 14.51/9.81 tff(10966,plain,
% 14.51/9.81 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v129(VarNext, B) <=> v127(VarCurr, B))))) | (~nextState(constB69, constB70)) | ![B: $i] : ((~less_3(B)) | (v129(constB70, B) <=> v127(constB69, B)))),
% 14.51/9.81 inference(modus_ponens,[status(thm)],[10965, 10964])).
% 14.51/9.81 tff(10967,plain,
% 14.51/9.81 (![B: $i] : ((~less_3(B)) | (v129(constB70, B) <=> v127(constB69, B)))),
% 14.51/9.81 inference(unit_resolution,[status(thm)],[10966, 1755, 5156])).
% 14.51/9.81 tff(10968,plain,
% 14.51/9.81 (((~![B: $i] : ((~less_3(B)) | (v129(constB70, B) <=> v127(constB69, B)))) | ((~less_3(bitIndex2)) | (v129(constB70, bitIndex2) <=> v127(constB69, bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v129(constB70, B) <=> v127(constB69, B)))) | (~less_3(bitIndex2)) | (v129(constB70, bitIndex2) <=> v127(constB69, bitIndex2)))),
% 14.51/9.81 inference(rewrite,[status(thm)],[])).
% 14.51/9.81 tff(10969,plain,
% 14.51/9.81 ((~![B: $i] : ((~less_3(B)) | (v129(constB70, B) <=> v127(constB69, B)))) | ((~less_3(bitIndex2)) | (v129(constB70, bitIndex2) <=> v127(constB69, bitIndex2)))),
% 14.51/9.81 inference(quant_inst,[status(thm)],[])).
% 14.51/9.81 tff(10970,plain,
% 14.51/9.81 ((~![B: $i] : ((~less_3(B)) | (v129(constB70, B) <=> v127(constB69, B)))) | (~less_3(bitIndex2)) | (v129(constB70, bitIndex2) <=> v127(constB69, bitIndex2))),
% 14.51/9.81 inference(modus_ponens,[status(thm)],[10969, 10968])).
% 14.51/9.81 tff(10971,plain,
% 14.51/9.81 (v129(constB70, bitIndex2) <=> v127(constB69, bitIndex2)),
% 14.51/9.81 inference(unit_resolution,[status(thm)],[10970, 413, 10967])).
% 14.51/9.81 tff(10972,plain,
% 14.51/9.81 (((~![VarCurr: $i] : (v111(VarCurr) | ![B: $i] : ((~less_3(B)) | (v127(VarCurr, B) <=> v130(VarCurr, B))))) | (v111(constB69) | ![B: $i] : ((~less_3(B)) | (v127(constB69, B) <=> v130(constB69, B))))) <=> ((~![VarCurr: $i] : (v111(VarCurr) | ![B: $i] : ((~less_3(B)) | (v127(VarCurr, B) <=> v130(VarCurr, B))))) | v111(constB69) | ![B: $i] : ((~less_3(B)) | (v127(constB69, B) <=> v130(constB69, B))))),
% 14.51/9.81 inference(rewrite,[status(thm)],[])).
% 14.51/9.81 tff(10973,plain,
% 14.51/9.81 ((~![VarCurr: $i] : (v111(VarCurr) | ![B: $i] : ((~less_3(B)) | (v127(VarCurr, B) <=> v130(VarCurr, B))))) | (v111(constB69) | ![B: $i] : ((~less_3(B)) | (v127(constB69, B) <=> v130(constB69, B))))),
% 14.51/9.81 inference(quant_inst,[status(thm)],[])).
% 14.51/9.81 tff(10974,plain,
% 14.51/9.81 ((~![VarCurr: $i] : (v111(VarCurr) | ![B: $i] : ((~less_3(B)) | (v127(VarCurr, B) <=> v130(VarCurr, B))))) | v111(constB69) | ![B: $i] : ((~less_3(B)) | (v127(constB69, B) <=> v130(constB69, B)))),
% 14.51/9.81 inference(modus_ponens,[status(thm)],[10973, 10972])).
% 14.51/9.81 tff(10975,plain,
% 14.51/9.81 (![B: $i] : ((~less_3(B)) | (v127(constB69, B) <=> v130(constB69, B)))),
% 14.51/9.81 inference(unit_resolution,[status(thm)],[10974, 5177, 10936])).
% 14.51/9.81 tff(10976,plain,
% 14.51/9.81 (((~![B: $i] : ((~less_3(B)) | (v127(constB69, B) <=> v130(constB69, B)))) | ((~less_3(bitIndex2)) | (v127(constB69, bitIndex2) <=> v130(constB69, bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v127(constB69, B) <=> v130(constB69, B)))) | (~less_3(bitIndex2)) | (v127(constB69, bitIndex2) <=> v130(constB69, bitIndex2)))),
% 14.51/9.81 inference(rewrite,[status(thm)],[])).
% 14.51/9.81 tff(10977,plain,
% 14.51/9.81 ((~![B: $i] : ((~less_3(B)) | (v127(constB69, B) <=> v130(constB69, B)))) | ((~less_3(bitIndex2)) | (v127(constB69, bitIndex2) <=> v130(constB69, bitIndex2)))),
% 14.51/9.81 inference(quant_inst,[status(thm)],[])).
% 14.51/9.81 tff(10978,plain,
% 14.51/9.81 ((~![B: $i] : ((~less_3(B)) | (v127(constB69, B) <=> v130(constB69, B)))) | (~less_3(bitIndex2)) | (v127(constB69, bitIndex2) <=> v130(constB69, bitIndex2))),
% 14.51/9.81 inference(modus_ponens,[status(thm)],[10977, 10976])).
% 14.51/9.81 tff(10979,plain,
% 14.51/9.81 (v127(constB69, bitIndex2) <=> v130(constB69, bitIndex2)),
% 14.51/9.81 inference(unit_resolution,[status(thm)],[10978, 413, 10975])).
% 14.51/9.81 tff(10980,plain,
% 14.51/9.81 (((~![VarCurr: $i] : ((~v121(VarCurr)) | ![B: $i] : ((~less_3(B)) | (v130(VarCurr, B) <=> b011(B))))) | ((~v121(constB69)) | ![B: $i] : ((~less_3(B)) | (v130(constB69, B) <=> b011(B))))) <=> ((~![VarCurr: $i] : ((~v121(VarCurr)) | ![B: $i] : ((~less_3(B)) | (v130(VarCurr, B) <=> b011(B))))) | (~v121(constB69)) | ![B: $i] : ((~less_3(B)) | (v130(constB69, B) <=> b011(B))))),
% 14.51/9.81 inference(rewrite,[status(thm)],[])).
% 14.51/9.81 tff(10981,plain,
% 14.51/9.81 ((~![VarCurr: $i] : ((~v121(VarCurr)) | ![B: $i] : ((~less_3(B)) | (v130(VarCurr, B) <=> b011(B))))) | ((~v121(constB69)) | ![B: $i] : ((~less_3(B)) | (v130(constB69, B) <=> b011(B))))),
% 14.51/9.81 inference(quant_inst,[status(thm)],[])).
% 14.51/9.81 tff(10982,plain,
% 14.51/9.81 ((~![VarCurr: $i] : ((~v121(VarCurr)) | ![B: $i] : ((~less_3(B)) | (v130(VarCurr, B) <=> b011(B))))) | (~v121(constB69)) | ![B: $i] : ((~less_3(B)) | (v130(constB69, B) <=> b011(B)))),
% 14.51/9.81 inference(modus_ponens,[status(thm)],[10981, 10980])).
% 14.51/9.81 tff(10983,plain,
% 14.51/9.81 ((~v121(constB69)) | ![B: $i] : ((~less_3(B)) | (v130(constB69, B) <=> b011(B)))),
% 14.51/9.81 inference(unit_resolution,[status(thm)],[10982, 5977])).
% 14.51/9.81 tff(10984,plain,
% 14.51/9.81 (![B: $i] : ((~less_3(B)) | (v130(constB69, B) <=> b011(B)))),
% 14.51/9.81 inference(unit_resolution,[status(thm)],[10983, 10907])).
% 14.51/9.81 tff(10985,plain,
% 14.51/9.81 (((~![B: $i] : ((~less_3(B)) | (v130(constB69, B) <=> b011(B)))) | ((~less_3(bitIndex2)) | (v130(constB69, bitIndex2) <=> b011(bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v130(constB69, B) <=> b011(B)))) | (~less_3(bitIndex2)) | (v130(constB69, bitIndex2) <=> b011(bitIndex2)))),
% 14.51/9.81 inference(rewrite,[status(thm)],[])).
% 14.51/9.81 tff(10986,plain,
% 14.51/9.81 ((~![B: $i] : ((~less_3(B)) | (v130(constB69, B) <=> b011(B)))) | ((~less_3(bitIndex2)) | (v130(constB69, bitIndex2) <=> b011(bitIndex2)))),
% 14.51/9.81 inference(quant_inst,[status(thm)],[])).
% 14.51/9.81 tff(10987,plain,
% 14.51/9.81 ((~![B: $i] : ((~less_3(B)) | (v130(constB69, B) <=> b011(B)))) | (~less_3(bitIndex2)) | (v130(constB69, bitIndex2) <=> b011(bitIndex2))),
% 14.51/9.81 inference(modus_ponens,[status(thm)],[10986, 10985])).
% 14.51/9.81 tff(10988,plain,
% 14.51/9.81 (v130(constB69, bitIndex2) <=> b011(bitIndex2)),
% 14.51/9.81 inference(unit_resolution,[status(thm)],[10987, 413, 10984])).
% 14.51/9.81 tff(10989,plain,
% 14.51/9.81 ((~(v130(constB69, bitIndex2) <=> b011(bitIndex2))) | (~v130(constB69, bitIndex2)) | b011(bitIndex2)),
% 14.51/9.81 inference(tautology,[status(thm)],[])).
% 14.51/9.81 tff(10990,plain,
% 14.51/9.81 ((~(v130(constB69, bitIndex2) <=> b011(bitIndex2))) | (~v130(constB69, bitIndex2))),
% 14.51/9.81 inference(unit_resolution,[status(thm)],[10989, 5989])).
% 14.51/9.81 tff(10991,plain,
% 14.51/9.81 (~v130(constB69, bitIndex2)),
% 14.51/9.81 inference(unit_resolution,[status(thm)],[10990, 10988])).
% 14.51/9.81 tff(10992,plain,
% 14.51/9.81 ((~(v127(constB69, bitIndex2) <=> v130(constB69, bitIndex2))) | (~v127(constB69, bitIndex2)) | v130(constB69, bitIndex2)),
% 14.61/9.81 inference(tautology,[status(thm)],[])).
% 14.61/9.81 tff(10993,plain,
% 14.61/9.81 (~v127(constB69, bitIndex2)),
% 14.61/9.81 inference(unit_resolution,[status(thm)],[10992, 10991, 10979])).
% 14.61/9.81 tff(10994,plain,
% 14.61/9.81 ((~(v129(constB70, bitIndex2) <=> v127(constB69, bitIndex2))) | (~v129(constB70, bitIndex2)) | v127(constB69, bitIndex2)),
% 14.61/9.81 inference(tautology,[status(thm)],[])).
% 14.61/9.81 tff(10995,plain,
% 14.61/9.81 (~v129(constB70, bitIndex2)),
% 14.61/9.81 inference(unit_resolution,[status(thm)],[10994, 10993, 10971])).
% 14.61/9.81 tff(10996,plain,
% 14.61/9.81 ((~(v90(constB70, bitIndex2) <=> v129(constB70, bitIndex2))) | (~v90(constB70, bitIndex2)) | v129(constB70, bitIndex2)),
% 14.61/9.81 inference(tautology,[status(thm)],[])).
% 14.61/9.81 tff(10997,plain,
% 14.61/9.81 (~v90(constB70, bitIndex2)),
% 14.61/9.81 inference(unit_resolution,[status(thm)],[10996, 10995, 10963])).
% 14.61/9.81 tff(10998,plain,
% 14.61/9.81 ((~(v90(constB71, bitIndex2) <=> v90(constB70, bitIndex2))) | (~v90(constB71, bitIndex2)) | v90(constB70, bitIndex2)),
% 14.61/9.81 inference(tautology,[status(thm)],[])).
% 14.61/9.81 tff(10999,plain,
% 14.61/9.81 (~v90(constB71, bitIndex2)),
% 14.61/9.81 inference(unit_resolution,[status(thm)],[10998, 10997, 1752])).
% 14.61/9.81 tff(11000,plain,
% 14.61/9.81 (((~![B: $i] : ((~less_3(B)) | (v90(constB71, B) <=> v90(constB70, B)))) | ((~less_3(bitIndex0)) | (v90(constB71, bitIndex0) <=> v90(constB70, bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v90(constB71, B) <=> v90(constB70, B)))) | (~less_3(bitIndex0)) | (v90(constB71, bitIndex0) <=> v90(constB70, bitIndex0)))),
% 14.61/9.81 inference(rewrite,[status(thm)],[])).
% 14.61/9.81 tff(11001,plain,
% 14.61/9.81 ((~![B: $i] : ((~less_3(B)) | (v90(constB71, B) <=> v90(constB70, B)))) | ((~less_3(bitIndex0)) | (v90(constB71, bitIndex0) <=> v90(constB70, bitIndex0)))),
% 14.61/9.81 inference(quant_inst,[status(thm)],[])).
% 14.61/9.81 tff(11002,plain,
% 14.61/9.81 ((~![B: $i] : ((~less_3(B)) | (v90(constB71, B) <=> v90(constB70, B)))) | (~less_3(bitIndex0)) | (v90(constB71, bitIndex0) <=> v90(constB70, bitIndex0))),
% 14.61/9.81 inference(modus_ponens,[status(thm)],[11001, 11000])).
% 14.61/9.81 tff(11003,plain,
% 14.61/9.81 (v90(constB71, bitIndex0) <=> v90(constB70, bitIndex0)),
% 14.61/9.81 inference(unit_resolution,[status(thm)],[11002, 5004, 1748])).
% 14.61/9.81 tff(11004,plain,
% 14.61/9.81 (((~![B: $i] : ((~less_3(B)) | (v90(constB70, B) <=> v129(constB70, B)))) | ((~less_3(bitIndex0)) | (v90(constB70, bitIndex0) <=> v129(constB70, bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v90(constB70, B) <=> v129(constB70, B)))) | (~less_3(bitIndex0)) | (v90(constB70, bitIndex0) <=> v129(constB70, bitIndex0)))),
% 14.61/9.81 inference(rewrite,[status(thm)],[])).
% 14.61/9.81 tff(11005,plain,
% 14.61/9.81 ((~![B: $i] : ((~less_3(B)) | (v90(constB70, B) <=> v129(constB70, B)))) | ((~less_3(bitIndex0)) | (v90(constB70, bitIndex0) <=> v129(constB70, bitIndex0)))),
% 14.61/9.81 inference(quant_inst,[status(thm)],[])).
% 14.61/9.81 tff(11006,plain,
% 14.61/9.81 ((~![B: $i] : ((~less_3(B)) | (v90(constB70, B) <=> v129(constB70, B)))) | (~less_3(bitIndex0)) | (v90(constB70, bitIndex0) <=> v129(constB70, bitIndex0))),
% 14.61/9.81 inference(modus_ponens,[status(thm)],[11005, 11004])).
% 14.61/9.81 tff(11007,plain,
% 14.61/9.81 (v90(constB70, bitIndex0) <=> v129(constB70, bitIndex0)),
% 14.61/9.81 inference(unit_resolution,[status(thm)],[11006, 5004, 10959])).
% 14.61/9.81 tff(11008,plain,
% 14.61/9.81 (((~![B: $i] : ((~less_3(B)) | (v129(constB70, B) <=> v127(constB69, B)))) | ((~less_3(bitIndex0)) | (v129(constB70, bitIndex0) <=> v127(constB69, bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v129(constB70, B) <=> v127(constB69, B)))) | (~less_3(bitIndex0)) | (v129(constB70, bitIndex0) <=> v127(constB69, bitIndex0)))),
% 14.61/9.81 inference(rewrite,[status(thm)],[])).
% 14.61/9.81 tff(11009,plain,
% 14.61/9.81 ((~![B: $i] : ((~less_3(B)) | (v129(constB70, B) <=> v127(constB69, B)))) | ((~less_3(bitIndex0)) | (v129(constB70, bitIndex0) <=> v127(constB69, bitIndex0)))),
% 14.61/9.81 inference(quant_inst,[status(thm)],[])).
% 14.61/9.81 tff(11010,plain,
% 14.61/9.81 ((~![B: $i] : ((~less_3(B)) | (v129(constB70, B) <=> v127(constB69, B)))) | (~less_3(bitIndex0)) | (v129(constB70, bitIndex0) <=> v127(constB69, bitIndex0))),
% 14.61/9.81 inference(modus_ponens,[status(thm)],[11009, 11008])).
% 14.61/9.81 tff(11011,plain,
% 14.61/9.81 (v129(constB70, bitIndex0) <=> v127(constB69, bitIndex0)),
% 14.61/9.81 inference(unit_resolution,[status(thm)],[11010, 5004, 10967])).
% 14.61/9.82 tff(11012,plain,
% 14.61/9.82 (((~![B: $i] : ((~less_3(B)) | (v127(constB69, B) <=> v130(constB69, B)))) | ((~less_3(bitIndex0)) | (v127(constB69, bitIndex0) <=> v130(constB69, bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v127(constB69, B) <=> v130(constB69, B)))) | (~less_3(bitIndex0)) | (v127(constB69, bitIndex0) <=> v130(constB69, bitIndex0)))),
% 14.61/9.82 inference(rewrite,[status(thm)],[])).
% 14.61/9.82 tff(11013,plain,
% 14.61/9.82 ((~![B: $i] : ((~less_3(B)) | (v127(constB69, B) <=> v130(constB69, B)))) | ((~less_3(bitIndex0)) | (v127(constB69, bitIndex0) <=> v130(constB69, bitIndex0)))),
% 14.61/9.82 inference(quant_inst,[status(thm)],[])).
% 14.61/9.82 tff(11014,plain,
% 14.61/9.82 ((~![B: $i] : ((~less_3(B)) | (v127(constB69, B) <=> v130(constB69, B)))) | (~less_3(bitIndex0)) | (v127(constB69, bitIndex0) <=> v130(constB69, bitIndex0))),
% 14.61/9.82 inference(modus_ponens,[status(thm)],[11013, 11012])).
% 14.61/9.82 tff(11015,plain,
% 14.61/9.82 (v127(constB69, bitIndex0) <=> v130(constB69, bitIndex0)),
% 14.61/9.82 inference(unit_resolution,[status(thm)],[11014, 5004, 10975])).
% 14.61/9.82 tff(11016,plain,
% 14.61/9.82 (((~![B: $i] : ((~less_3(B)) | (v130(constB69, B) <=> b011(B)))) | ((~less_3(bitIndex0)) | (v130(constB69, bitIndex0) <=> b011(bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v130(constB69, B) <=> b011(B)))) | (~less_3(bitIndex0)) | (v130(constB69, bitIndex0) <=> b011(bitIndex0)))),
% 14.61/9.82 inference(rewrite,[status(thm)],[])).
% 14.61/9.82 tff(11017,plain,
% 14.61/9.82 ((~![B: $i] : ((~less_3(B)) | (v130(constB69, B) <=> b011(B)))) | ((~less_3(bitIndex0)) | (v130(constB69, bitIndex0) <=> b011(bitIndex0)))),
% 14.61/9.82 inference(quant_inst,[status(thm)],[])).
% 14.61/9.82 tff(11018,plain,
% 14.61/9.82 ((~![B: $i] : ((~less_3(B)) | (v130(constB69, B) <=> b011(B)))) | (~less_3(bitIndex0)) | (v130(constB69, bitIndex0) <=> b011(bitIndex0))),
% 14.61/9.82 inference(modus_ponens,[status(thm)],[11017, 11016])).
% 14.61/9.82 tff(11019,plain,
% 14.61/9.82 (v130(constB69, bitIndex0) <=> b011(bitIndex0)),
% 14.61/9.82 inference(unit_resolution,[status(thm)],[11018, 5004, 10984])).
% 14.61/9.82 tff(11020,plain,
% 14.61/9.82 ((~(v130(constB69, bitIndex0) <=> b011(bitIndex0))) | v130(constB69, bitIndex0) | (~b011(bitIndex0))),
% 14.61/9.82 inference(tautology,[status(thm)],[])).
% 14.61/9.82 tff(11021,plain,
% 14.61/9.82 ((~(v130(constB69, bitIndex0) <=> b011(bitIndex0))) | v130(constB69, bitIndex0)),
% 14.61/9.82 inference(unit_resolution,[status(thm)],[11020, 6023])).
% 14.61/9.82 tff(11022,plain,
% 14.61/9.82 (v130(constB69, bitIndex0)),
% 14.61/9.82 inference(unit_resolution,[status(thm)],[11021, 11019])).
% 14.61/9.82 tff(11023,plain,
% 14.61/9.82 ((~(v127(constB69, bitIndex0) <=> v130(constB69, bitIndex0))) | v127(constB69, bitIndex0) | (~v130(constB69, bitIndex0))),
% 14.61/9.82 inference(tautology,[status(thm)],[])).
% 14.61/9.82 tff(11024,plain,
% 14.61/9.82 (v127(constB69, bitIndex0)),
% 14.61/9.82 inference(unit_resolution,[status(thm)],[11023, 11022, 11015])).
% 14.61/9.82 tff(11025,plain,
% 14.61/9.82 ((~(v129(constB70, bitIndex0) <=> v127(constB69, bitIndex0))) | v129(constB70, bitIndex0) | (~v127(constB69, bitIndex0))),
% 14.61/9.82 inference(tautology,[status(thm)],[])).
% 14.61/9.82 tff(11026,plain,
% 14.61/9.82 (v129(constB70, bitIndex0)),
% 14.61/9.82 inference(unit_resolution,[status(thm)],[11025, 11024, 11011])).
% 14.61/9.82 tff(11027,plain,
% 14.61/9.82 ((~(v90(constB70, bitIndex0) <=> v129(constB70, bitIndex0))) | v90(constB70, bitIndex0) | (~v129(constB70, bitIndex0))),
% 14.61/9.82 inference(tautology,[status(thm)],[])).
% 14.61/9.82 tff(11028,plain,
% 14.61/9.82 (v90(constB70, bitIndex0)),
% 14.61/9.82 inference(unit_resolution,[status(thm)],[11027, 11026, 11007])).
% 14.61/9.82 tff(11029,plain,
% 14.61/9.82 ((~(v90(constB71, bitIndex0) <=> v90(constB70, bitIndex0))) | v90(constB71, bitIndex0) | (~v90(constB70, bitIndex0))),
% 14.61/9.82 inference(tautology,[status(thm)],[])).
% 14.61/9.82 tff(11030,plain,
% 14.61/9.82 (v90(constB71, bitIndex0)),
% 14.61/9.82 inference(unit_resolution,[status(thm)],[11029, 11028, 11003])).
% 14.61/9.82 tff(11031,plain,
% 14.61/9.82 (((~![B: $i] : ((~less_3(B)) | (v90(constB71, B) <=> v90(constB70, B)))) | ((~less_3(bitIndex1)) | (v90(constB71, bitIndex1) <=> v90(constB70, bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v90(constB71, B) <=> v90(constB70, B)))) | (~less_3(bitIndex1)) | (v90(constB71, bitIndex1) <=> v90(constB70, bitIndex1)))),
% 14.61/9.82 inference(rewrite,[status(thm)],[])).
% 14.61/9.82 tff(11032,plain,
% 14.61/9.82 ((~![B: $i] : ((~less_3(B)) | (v90(constB71, B) <=> v90(constB70, B)))) | ((~less_3(bitIndex1)) | (v90(constB71, bitIndex1) <=> v90(constB70, bitIndex1)))),
% 14.61/9.82 inference(quant_inst,[status(thm)],[])).
% 14.61/9.82 tff(11033,plain,
% 14.61/9.82 ((~![B: $i] : ((~less_3(B)) | (v90(constB71, B) <=> v90(constB70, B)))) | (~less_3(bitIndex1)) | (v90(constB71, bitIndex1) <=> v90(constB70, bitIndex1))),
% 14.61/9.82 inference(modus_ponens,[status(thm)],[11032, 11031])).
% 14.61/9.82 tff(11034,plain,
% 14.61/9.82 (v90(constB71, bitIndex1) <=> v90(constB70, bitIndex1)),
% 14.61/9.82 inference(unit_resolution,[status(thm)],[11033, 5017, 1748])).
% 14.61/9.82 tff(11035,plain,
% 14.61/9.82 (((~![B: $i] : ((~less_3(B)) | (v90(constB70, B) <=> v129(constB70, B)))) | ((~less_3(bitIndex1)) | (v90(constB70, bitIndex1) <=> v129(constB70, bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v90(constB70, B) <=> v129(constB70, B)))) | (~less_3(bitIndex1)) | (v90(constB70, bitIndex1) <=> v129(constB70, bitIndex1)))),
% 14.61/9.82 inference(rewrite,[status(thm)],[])).
% 14.61/9.82 tff(11036,plain,
% 14.61/9.82 ((~![B: $i] : ((~less_3(B)) | (v90(constB70, B) <=> v129(constB70, B)))) | ((~less_3(bitIndex1)) | (v90(constB70, bitIndex1) <=> v129(constB70, bitIndex1)))),
% 14.61/9.82 inference(quant_inst,[status(thm)],[])).
% 14.61/9.82 tff(11037,plain,
% 14.61/9.82 ((~![B: $i] : ((~less_3(B)) | (v90(constB70, B) <=> v129(constB70, B)))) | (~less_3(bitIndex1)) | (v90(constB70, bitIndex1) <=> v129(constB70, bitIndex1))),
% 14.61/9.82 inference(modus_ponens,[status(thm)],[11036, 11035])).
% 14.61/9.82 tff(11038,plain,
% 14.61/9.82 (v90(constB70, bitIndex1) <=> v129(constB70, bitIndex1)),
% 14.61/9.82 inference(unit_resolution,[status(thm)],[11037, 5017, 10959])).
% 14.61/9.82 tff(11039,plain,
% 14.61/9.82 (((~![B: $i] : ((~less_3(B)) | (v129(constB70, B) <=> v127(constB69, B)))) | ((~less_3(bitIndex1)) | (v129(constB70, bitIndex1) <=> v127(constB69, bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v129(constB70, B) <=> v127(constB69, B)))) | (~less_3(bitIndex1)) | (v129(constB70, bitIndex1) <=> v127(constB69, bitIndex1)))),
% 14.61/9.82 inference(rewrite,[status(thm)],[])).
% 14.61/9.82 tff(11040,plain,
% 14.61/9.82 ((~![B: $i] : ((~less_3(B)) | (v129(constB70, B) <=> v127(constB69, B)))) | ((~less_3(bitIndex1)) | (v129(constB70, bitIndex1) <=> v127(constB69, bitIndex1)))),
% 14.61/9.82 inference(quant_inst,[status(thm)],[])).
% 14.61/9.82 tff(11041,plain,
% 14.61/9.82 ((~![B: $i] : ((~less_3(B)) | (v129(constB70, B) <=> v127(constB69, B)))) | (~less_3(bitIndex1)) | (v129(constB70, bitIndex1) <=> v127(constB69, bitIndex1))),
% 14.61/9.82 inference(modus_ponens,[status(thm)],[11040, 11039])).
% 14.61/9.82 tff(11042,plain,
% 14.61/9.82 (v129(constB70, bitIndex1) <=> v127(constB69, bitIndex1)),
% 14.61/9.82 inference(unit_resolution,[status(thm)],[11041, 5017, 10967])).
% 14.61/9.82 tff(11043,plain,
% 14.61/9.82 (((~![B: $i] : ((~less_3(B)) | (v127(constB69, B) <=> v130(constB69, B)))) | ((~less_3(bitIndex1)) | (v127(constB69, bitIndex1) <=> v130(constB69, bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v127(constB69, B) <=> v130(constB69, B)))) | (~less_3(bitIndex1)) | (v127(constB69, bitIndex1) <=> v130(constB69, bitIndex1)))),
% 14.61/9.82 inference(rewrite,[status(thm)],[])).
% 14.61/9.82 tff(11044,plain,
% 14.61/9.82 ((~![B: $i] : ((~less_3(B)) | (v127(constB69, B) <=> v130(constB69, B)))) | ((~less_3(bitIndex1)) | (v127(constB69, bitIndex1) <=> v130(constB69, bitIndex1)))),
% 14.61/9.82 inference(quant_inst,[status(thm)],[])).
% 14.61/9.82 tff(11045,plain,
% 14.61/9.82 ((~![B: $i] : ((~less_3(B)) | (v127(constB69, B) <=> v130(constB69, B)))) | (~less_3(bitIndex1)) | (v127(constB69, bitIndex1) <=> v130(constB69, bitIndex1))),
% 14.61/9.82 inference(modus_ponens,[status(thm)],[11044, 11043])).
% 14.61/9.82 tff(11046,plain,
% 14.61/9.82 (v127(constB69, bitIndex1) <=> v130(constB69, bitIndex1)),
% 14.61/9.82 inference(unit_resolution,[status(thm)],[11045, 5017, 10975])).
% 14.61/9.82 tff(11047,plain,
% 14.61/9.82 (((~![B: $i] : ((~less_3(B)) | (v130(constB69, B) <=> b011(B)))) | ((~less_3(bitIndex1)) | (v130(constB69, bitIndex1) <=> b011(bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v130(constB69, B) <=> b011(B)))) | (~less_3(bitIndex1)) | (v130(constB69, bitIndex1) <=> b011(bitIndex1)))),
% 14.61/9.82 inference(rewrite,[status(thm)],[])).
% 14.61/9.82 tff(11048,plain,
% 14.61/9.82 ((~![B: $i] : ((~less_3(B)) | (v130(constB69, B) <=> b011(B)))) | ((~less_3(bitIndex1)) | (v130(constB69, bitIndex1) <=> b011(bitIndex1)))),
% 14.61/9.82 inference(quant_inst,[status(thm)],[])).
% 14.61/9.82 tff(11049,plain,
% 14.61/9.82 ((~![B: $i] : ((~less_3(B)) | (v130(constB69, B) <=> b011(B)))) | (~less_3(bitIndex1)) | (v130(constB69, bitIndex1) <=> b011(bitIndex1))),
% 14.61/9.82 inference(modus_ponens,[status(thm)],[11048, 11047])).
% 14.61/9.82 tff(11050,plain,
% 14.61/9.82 (v130(constB69, bitIndex1) <=> b011(bitIndex1)),
% 14.61/9.82 inference(unit_resolution,[status(thm)],[11049, 5017, 10984])).
% 14.61/9.82 tff(11051,plain,
% 14.61/9.82 ((~(v130(constB69, bitIndex1) <=> b011(bitIndex1))) | v130(constB69, bitIndex1) | (~b011(bitIndex1))),
% 14.61/9.82 inference(tautology,[status(thm)],[])).
% 14.61/9.82 tff(11052,plain,
% 14.61/9.82 ((~(v130(constB69, bitIndex1) <=> b011(bitIndex1))) | v130(constB69, bitIndex1)),
% 14.61/9.82 inference(unit_resolution,[status(thm)],[11051, 6057])).
% 14.61/9.82 tff(11053,plain,
% 14.61/9.82 (v130(constB69, bitIndex1)),
% 14.61/9.82 inference(unit_resolution,[status(thm)],[11052, 11050])).
% 14.61/9.82 tff(11054,plain,
% 14.61/9.82 ((~(v127(constB69, bitIndex1) <=> v130(constB69, bitIndex1))) | v127(constB69, bitIndex1) | (~v130(constB69, bitIndex1))),
% 14.61/9.82 inference(tautology,[status(thm)],[])).
% 14.61/9.82 tff(11055,plain,
% 14.61/9.82 (v127(constB69, bitIndex1)),
% 14.61/9.82 inference(unit_resolution,[status(thm)],[11054, 11053, 11046])).
% 14.61/9.82 tff(11056,plain,
% 14.61/9.82 ((~(v129(constB70, bitIndex1) <=> v127(constB69, bitIndex1))) | v129(constB70, bitIndex1) | (~v127(constB69, bitIndex1))),
% 14.61/9.82 inference(tautology,[status(thm)],[])).
% 14.61/9.82 tff(11057,plain,
% 14.61/9.82 (v129(constB70, bitIndex1)),
% 14.61/9.82 inference(unit_resolution,[status(thm)],[11056, 11055, 11042])).
% 14.61/9.82 tff(11058,plain,
% 14.61/9.82 ((~(v90(constB70, bitIndex1) <=> v129(constB70, bitIndex1))) | v90(constB70, bitIndex1) | (~v129(constB70, bitIndex1))),
% 14.61/9.82 inference(tautology,[status(thm)],[])).
% 14.61/9.82 tff(11059,plain,
% 14.61/9.82 (v90(constB70, bitIndex1)),
% 14.61/9.82 inference(unit_resolution,[status(thm)],[11058, 11057, 11038])).
% 14.61/9.82 tff(11060,plain,
% 14.61/9.82 ((~(v90(constB71, bitIndex1) <=> v90(constB70, bitIndex1))) | v90(constB71, bitIndex1) | (~v90(constB70, bitIndex1))),
% 14.61/9.82 inference(tautology,[status(thm)],[])).
% 14.61/9.82 tff(11061,plain,
% 14.61/9.82 (v90(constB71, bitIndex1)),
% 14.61/9.82 inference(unit_resolution,[status(thm)],[11060, 11059, 11034])).
% 14.61/9.82 tff(11062,plain,
% 14.61/9.82 ((~(v90(constB71, bitIndex2) | (~v90(constB71, bitIndex1)) | (~v90(constB71, bitIndex0)))) | v90(constB71, bitIndex2) | (~v90(constB71, bitIndex1)) | (~v90(constB71, bitIndex0))),
% 14.61/9.82 inference(tautology,[status(thm)],[])).
% 14.61/9.82 tff(11063,plain,
% 14.61/9.82 (~(v90(constB71, bitIndex2) | (~v90(constB71, bitIndex1)) | (~v90(constB71, bitIndex0)))),
% 14.61/9.82 inference(unit_resolution,[status(thm)],[11062, 11061, 11030, 10999])).
% 14.61/9.82 tff(11064,plain,
% 14.61/9.82 ((~(v122(constB71) <=> (~(v90(constB71, bitIndex2) | (~v90(constB71, bitIndex1)) | (~v90(constB71, bitIndex0)))))) | v122(constB71) | (v90(constB71, bitIndex2) | (~v90(constB71, bitIndex1)) | (~v90(constB71, bitIndex0)))),
% 14.61/9.82 inference(tautology,[status(thm)],[])).
% 14.61/9.82 tff(11065,plain,
% 14.61/9.82 (v122(constB71)),
% 14.61/9.82 inference(unit_resolution,[status(thm)],[11064, 11063, 1720])).
% 14.61/9.82 tff(11066,plain,
% 14.61/9.82 ((v117(constB71) | v122(constB71)) | (~v122(constB71))),
% 14.61/9.82 inference(tautology,[status(thm)],[])).
% 14.61/9.82 tff(11067,plain,
% 14.61/9.82 (v117(constB71) | v122(constB71)),
% 14.61/9.82 inference(unit_resolution,[status(thm)],[11066, 11065])).
% 14.61/9.82 tff(11068,plain,
% 14.61/9.82 ((~(v116(constB71) <=> (v117(constB71) | v122(constB71)))) | v116(constB71) | (~(v117(constB71) | v122(constB71)))),
% 14.61/9.82 inference(tautology,[status(thm)],[])).
% 14.61/9.82 tff(11069,plain,
% 14.61/9.82 (v116(constB71)),
% 14.61/9.82 inference(unit_resolution,[status(thm)],[11068, 11067, 1713])).
% 14.61/9.82 tff(11070,plain,
% 14.61/9.82 ((v116(constB71) | v123(constB71)) | (~v116(constB71))),
% 14.61/9.82 inference(tautology,[status(thm)],[])).
% 14.61/9.82 tff(11071,plain,
% 14.61/9.82 (v116(constB71) | v123(constB71)),
% 14.61/9.82 inference(unit_resolution,[status(thm)],[11070, 11069])).
% 14.61/9.82 tff(11072,plain,
% 14.61/9.82 ((~(v115(constB71) <=> (v116(constB71) | v123(constB71)))) | v115(constB71) | (~(v116(constB71) | v123(constB71)))),
% 14.61/9.82 inference(tautology,[status(thm)],[])).
% 14.61/9.82 tff(11073,plain,
% 14.61/9.82 (v115(constB71)),
% 14.61/9.82 inference(unit_resolution,[status(thm)],[11072, 11071, 1711])).
% 14.61/9.82 tff(11074,plain,
% 14.61/9.82 ((v115(constB71) | v124(constB71)) | (~v115(constB71))),
% 14.61/9.82 inference(tautology,[status(thm)],[])).
% 14.61/9.82 tff(11075,plain,
% 14.61/9.82 (v115(constB71) | v124(constB71)),
% 14.61/9.82 inference(unit_resolution,[status(thm)],[11074, 11073])).
% 14.61/9.82 tff(11076,plain,
% 14.61/9.82 ((~(v114(constB71) <=> (v115(constB71) | v124(constB71)))) | v114(constB71) | (~(v115(constB71) | v124(constB71)))),
% 14.61/9.82 inference(tautology,[status(thm)],[])).
% 14.61/9.82 tff(11077,plain,
% 14.61/9.82 (v114(constB71)),
% 14.61/9.82 inference(unit_resolution,[status(thm)],[11076, 11075, 1709])).
% 14.61/9.82 tff(11078,plain,
% 14.61/9.82 ((v114(constB71) | v125(constB71)) | (~v114(constB71))),
% 14.61/9.82 inference(tautology,[status(thm)],[])).
% 14.61/9.82 tff(11079,plain,
% 14.61/9.82 (v114(constB71) | v125(constB71)),
% 14.61/9.82 inference(unit_resolution,[status(thm)],[11078, 11077])).
% 14.61/9.82 tff(11080,plain,
% 14.61/9.82 ((~(v113(constB71) <=> (v114(constB71) | v125(constB71)))) | v113(constB71) | (~(v114(constB71) | v125(constB71)))),
% 14.61/9.82 inference(tautology,[status(thm)],[])).
% 14.61/9.82 tff(11081,plain,
% 14.61/9.82 (v113(constB71)),
% 14.61/9.82 inference(unit_resolution,[status(thm)],[11080, 11079, 1707])).
% 14.61/9.82 tff(11082,plain,
% 14.61/9.82 ((~![VarCurr: $i] : ((~v126(VarCurr)) <=> v111(VarCurr))) | ((~v126(constB71)) <=> v111(constB71))),
% 14.61/9.82 inference(quant_inst,[status(thm)],[])).
% 14.61/9.82 tff(11083,plain,
% 14.61/9.82 ((~v126(constB71)) <=> v111(constB71)),
% 14.61/9.82 inference(unit_resolution,[status(thm)],[11082, 5074])).
% 14.61/9.82 tff(11084,plain,
% 14.61/9.82 ((~![VarCurr: $i] : (v111(VarCurr) <=> v26(VarCurr))) | (v111(constB71) <=> v26(constB71))),
% 14.61/9.82 inference(quant_inst,[status(thm)],[])).
% 14.61/9.82 tff(11085,plain,
% 14.61/9.82 (v111(constB71) <=> v26(constB71)),
% 14.61/9.82 inference(unit_resolution,[status(thm)],[11084, 5086])).
% 14.61/9.82 tff(11086,plain,
% 14.61/9.82 ((~![VarCurr: $i] : (~v26(VarCurr))) | (~v26(constB71))),
% 14.61/9.82 inference(quant_inst,[status(thm)],[])).
% 14.61/9.82 tff(11087,plain,
% 14.61/9.82 (~v26(constB71)),
% 14.61/9.82 inference(unit_resolution,[status(thm)],[11086, 5098])).
% 14.61/9.82 tff(11088,plain,
% 14.61/9.82 ((~(v111(constB71) <=> v26(constB71))) | (~v111(constB71)) | v26(constB71)),
% 14.61/9.82 inference(tautology,[status(thm)],[])).
% 14.61/9.82 tff(11089,plain,
% 14.61/9.82 ((~(v111(constB71) <=> v26(constB71))) | (~v111(constB71))),
% 14.61/9.82 inference(unit_resolution,[status(thm)],[11088, 11087])).
% 14.61/9.82 tff(11090,plain,
% 14.61/9.82 (~v111(constB71)),
% 14.61/9.82 inference(unit_resolution,[status(thm)],[11089, 11085])).
% 14.61/9.82 tff(11091,plain,
% 14.61/9.82 ((~((~v126(constB71)) <=> v111(constB71))) | v126(constB71) | v111(constB71)),
% 14.61/9.82 inference(tautology,[status(thm)],[])).
% 14.61/9.82 tff(11092,plain,
% 14.61/9.82 ((~((~v126(constB71)) <=> v111(constB71))) | v126(constB71)),
% 14.61/9.82 inference(unit_resolution,[status(thm)],[11091, 11090])).
% 14.61/9.82 tff(11093,plain,
% 14.61/9.82 (v126(constB71)),
% 14.61/9.82 inference(unit_resolution,[status(thm)],[11092, 11083])).
% 14.61/9.82 tff(11094,plain,
% 14.61/9.82 ((~((~v113(constB71)) | (~v126(constB71)))) | (~v113(constB71)) | (~v126(constB71))),
% 14.61/9.82 inference(tautology,[status(thm)],[])).
% 14.61/9.82 tff(11095,plain,
% 14.61/9.82 ((~((~v113(constB71)) | (~v126(constB71)))) | (~v113(constB71))),
% 14.61/9.82 inference(unit_resolution,[status(thm)],[11094, 11093])).
% 14.61/9.82 tff(11096,plain,
% 14.61/9.82 (~((~v113(constB71)) | (~v126(constB71)))),
% 14.61/9.82 inference(unit_resolution,[status(thm)],[11095, 11081])).
% 14.61/9.82 tff(11097,plain,
% 14.61/9.82 ((~(v112(constB71) <=> (~((~v113(constB71)) | (~v126(constB71)))))) | v112(constB71) | ((~v113(constB71)) | (~v126(constB71)))),
% 14.61/9.82 inference(tautology,[status(thm)],[])).
% 14.61/9.82 tff(11098,plain,
% 14.61/9.82 (v112(constB71)),
% 14.61/9.82 inference(unit_resolution,[status(thm)],[11097, 11096, 1705])).
% 14.61/9.82 tff(11099,plain,
% 14.61/9.82 ((v111(constB71) | v112(constB71)) | (~v112(constB71))),
% 14.61/9.82 inference(tautology,[status(thm)],[])).
% 14.61/9.82 tff(11100,plain,
% 14.61/9.82 (v111(constB71) | v112(constB71)),
% 14.61/9.82 inference(unit_resolution,[status(thm)],[11099, 11098])).
% 14.61/9.82 tff(11101,plain,
% 14.61/9.82 ((~(v108(constB71) <=> (v111(constB71) | v112(constB71)))) | v108(constB71) | (~(v111(constB71) | v112(constB71)))),
% 14.61/9.82 inference(tautology,[status(thm)],[])).
% 14.61/9.82 tff(11102,plain,
% 14.61/9.82 (v108(constB71)),
% 14.61/9.82 inference(unit_resolution,[status(thm)],[11101, 11100, 1703])).
% 14.61/9.82 tff(11103,plain,
% 14.61/9.82 ((~(v110(constB72) <=> v108(constB71))) | v110(constB72) | (~v108(constB71))),
% 14.61/9.82 inference(tautology,[status(thm)],[])).
% 14.61/9.82 tff(11104,plain,
% 14.61/9.82 (v110(constB72)),
% 14.61/9.82 inference(unit_resolution,[status(thm)],[11103, 11102, 1701])).
% 14.61/9.82 tff(11105,plain,
% 14.61/9.82 ((~((~v101(constB72)) | (~v110(constB72)))) | (~v101(constB72)) | (~v110(constB72))),
% 14.61/9.82 inference(tautology,[status(thm)],[])).
% 14.61/9.82 tff(11106,plain,
% 14.61/9.82 (~((~v101(constB72)) | (~v110(constB72)))),
% 14.61/9.83 inference(unit_resolution,[status(thm)],[11105, 11104, 1697])).
% 14.61/9.83 tff(11107,plain,
% 14.61/9.83 ((~(v100(constB72) <=> (~((~v101(constB72)) | (~v110(constB72)))))) | v100(constB72) | ((~v101(constB72)) | (~v110(constB72)))),
% 14.61/9.83 inference(tautology,[status(thm)],[])).
% 14.61/9.83 tff(11108,plain,
% 14.61/9.83 (v100(constB72)),
% 14.61/9.83 inference(unit_resolution,[status(thm)],[11107, 11106, 1666])).
% 14.61/9.83 tff(11109,plain,
% 14.61/9.83 (((~![VarNext: $i] : ((~v100(VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v129(VarNext, B))))) | ((~v100(constB72)) | ![B: $i] : ((~less_3(B)) | (v90(constB72, B) <=> v129(constB72, B))))) <=> ((~![VarNext: $i] : ((~v100(VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v129(VarNext, B))))) | (~v100(constB72)) | ![B: $i] : ((~less_3(B)) | (v90(constB72, B) <=> v129(constB72, B))))),
% 14.61/9.83 inference(rewrite,[status(thm)],[])).
% 14.61/9.83 tff(11110,plain,
% 14.61/9.83 ((~![VarNext: $i] : ((~v100(VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v129(VarNext, B))))) | ((~v100(constB72)) | ![B: $i] : ((~less_3(B)) | (v90(constB72, B) <=> v129(constB72, B))))),
% 14.61/9.83 inference(quant_inst,[status(thm)],[])).
% 14.61/9.83 tff(11111,plain,
% 14.61/9.83 ((~![VarNext: $i] : ((~v100(VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v129(VarNext, B))))) | (~v100(constB72)) | ![B: $i] : ((~less_3(B)) | (v90(constB72, B) <=> v129(constB72, B)))),
% 14.61/9.83 inference(modus_ponens,[status(thm)],[11110, 11109])).
% 14.61/9.83 tff(11112,plain,
% 14.61/9.83 ((~v100(constB72)) | ![B: $i] : ((~less_3(B)) | (v90(constB72, B) <=> v129(constB72, B)))),
% 14.61/9.83 inference(unit_resolution,[status(thm)],[11111, 5134])).
% 14.61/9.83 tff(11113,plain,
% 14.61/9.83 (![B: $i] : ((~less_3(B)) | (v90(constB72, B) <=> v129(constB72, B)))),
% 14.61/9.83 inference(unit_resolution,[status(thm)],[11112, 11108])).
% 14.61/9.83 tff(11114,plain,
% 14.61/9.83 (((~![B: $i] : ((~less_3(B)) | (v90(constB72, B) <=> v129(constB72, B)))) | ((~less_3(bitIndex2)) | (v90(constB72, bitIndex2) <=> v129(constB72, bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v90(constB72, B) <=> v129(constB72, B)))) | (~less_3(bitIndex2)) | (v90(constB72, bitIndex2) <=> v129(constB72, bitIndex2)))),
% 14.61/9.83 inference(rewrite,[status(thm)],[])).
% 14.61/9.83 tff(11115,plain,
% 14.61/9.83 ((~![B: $i] : ((~less_3(B)) | (v90(constB72, B) <=> v129(constB72, B)))) | ((~less_3(bitIndex2)) | (v90(constB72, bitIndex2) <=> v129(constB72, bitIndex2)))),
% 14.61/9.83 inference(quant_inst,[status(thm)],[])).
% 14.61/9.83 tff(11116,plain,
% 14.61/9.83 ((~![B: $i] : ((~less_3(B)) | (v90(constB72, B) <=> v129(constB72, B)))) | (~less_3(bitIndex2)) | (v90(constB72, bitIndex2) <=> v129(constB72, bitIndex2))),
% 14.61/9.83 inference(modus_ponens,[status(thm)],[11115, 11114])).
% 14.61/9.83 tff(11117,plain,
% 14.61/9.83 (v90(constB72, bitIndex2) <=> v129(constB72, bitIndex2)),
% 14.61/9.83 inference(unit_resolution,[status(thm)],[11116, 413, 11113])).
% 14.61/9.83 tff(11118,plain,
% 14.61/9.83 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v129(VarNext, B) <=> v127(VarCurr, B))))) | ((~nextState(constB71, constB72)) | ![B: $i] : ((~less_3(B)) | (v129(constB72, B) <=> v127(constB71, B))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v129(VarNext, B) <=> v127(VarCurr, B))))) | (~nextState(constB71, constB72)) | ![B: $i] : ((~less_3(B)) | (v129(constB72, B) <=> v127(constB71, B))))),
% 14.61/9.83 inference(rewrite,[status(thm)],[])).
% 14.61/9.83 tff(11119,plain,
% 14.61/9.83 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v129(VarNext, B) <=> v127(VarCurr, B))))) | ((~nextState(constB71, constB72)) | ![B: $i] : ((~less_3(B)) | (v129(constB72, B) <=> v127(constB71, B))))),
% 14.61/9.83 inference(quant_inst,[status(thm)],[])).
% 14.61/9.83 tff(11120,plain,
% 14.61/9.83 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v129(VarNext, B) <=> v127(VarCurr, B))))) | (~nextState(constB71, constB72)) | ![B: $i] : ((~less_3(B)) | (v129(constB72, B) <=> v127(constB71, B)))),
% 14.61/9.83 inference(modus_ponens,[status(thm)],[11119, 11118])).
% 14.61/9.83 tff(11121,plain,
% 14.61/9.83 (![B: $i] : ((~less_3(B)) | (v129(constB72, B) <=> v127(constB71, B)))),
% 14.61/9.83 inference(unit_resolution,[status(thm)],[11120, 1662, 5156])).
% 14.61/9.83 tff(11122,plain,
% 14.61/9.83 (((~![B: $i] : ((~less_3(B)) | (v129(constB72, B) <=> v127(constB71, B)))) | ((~less_3(bitIndex2)) | (v129(constB72, bitIndex2) <=> v127(constB71, bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v129(constB72, B) <=> v127(constB71, B)))) | (~less_3(bitIndex2)) | (v129(constB72, bitIndex2) <=> v127(constB71, bitIndex2)))),
% 14.61/9.83 inference(rewrite,[status(thm)],[])).
% 14.61/9.83 tff(11123,plain,
% 14.61/9.83 ((~![B: $i] : ((~less_3(B)) | (v129(constB72, B) <=> v127(constB71, B)))) | ((~less_3(bitIndex2)) | (v129(constB72, bitIndex2) <=> v127(constB71, bitIndex2)))),
% 14.61/9.83 inference(quant_inst,[status(thm)],[])).
% 14.61/9.83 tff(11124,plain,
% 14.61/9.83 ((~![B: $i] : ((~less_3(B)) | (v129(constB72, B) <=> v127(constB71, B)))) | (~less_3(bitIndex2)) | (v129(constB72, bitIndex2) <=> v127(constB71, bitIndex2))),
% 14.61/9.83 inference(modus_ponens,[status(thm)],[11123, 11122])).
% 14.61/9.83 tff(11125,plain,
% 14.61/9.83 (v129(constB72, bitIndex2) <=> v127(constB71, bitIndex2)),
% 14.61/9.83 inference(unit_resolution,[status(thm)],[11124, 413, 11121])).
% 14.61/9.83 tff(11126,plain,
% 14.61/9.83 (((~![VarCurr: $i] : (v111(VarCurr) | ![B: $i] : ((~less_3(B)) | (v127(VarCurr, B) <=> v130(VarCurr, B))))) | (v111(constB71) | ![B: $i] : ((~less_3(B)) | (v127(constB71, B) <=> v130(constB71, B))))) <=> ((~![VarCurr: $i] : (v111(VarCurr) | ![B: $i] : ((~less_3(B)) | (v127(VarCurr, B) <=> v130(VarCurr, B))))) | v111(constB71) | ![B: $i] : ((~less_3(B)) | (v127(constB71, B) <=> v130(constB71, B))))),
% 14.61/9.83 inference(rewrite,[status(thm)],[])).
% 14.61/9.83 tff(11127,plain,
% 14.61/9.83 ((~![VarCurr: $i] : (v111(VarCurr) | ![B: $i] : ((~less_3(B)) | (v127(VarCurr, B) <=> v130(VarCurr, B))))) | (v111(constB71) | ![B: $i] : ((~less_3(B)) | (v127(constB71, B) <=> v130(constB71, B))))),
% 14.61/9.83 inference(quant_inst,[status(thm)],[])).
% 14.61/9.83 tff(11128,plain,
% 14.61/9.83 ((~![VarCurr: $i] : (v111(VarCurr) | ![B: $i] : ((~less_3(B)) | (v127(VarCurr, B) <=> v130(VarCurr, B))))) | v111(constB71) | ![B: $i] : ((~less_3(B)) | (v127(constB71, B) <=> v130(constB71, B)))),
% 14.61/9.83 inference(modus_ponens,[status(thm)],[11127, 11126])).
% 14.61/9.83 tff(11129,plain,
% 14.61/9.83 (![B: $i] : ((~less_3(B)) | (v127(constB71, B) <=> v130(constB71, B)))),
% 14.61/9.83 inference(unit_resolution,[status(thm)],[11128, 5177, 11090])).
% 14.61/9.83 tff(11130,plain,
% 14.61/9.83 (((~![B: $i] : ((~less_3(B)) | (v127(constB71, B) <=> v130(constB71, B)))) | ((~less_3(bitIndex2)) | (v127(constB71, bitIndex2) <=> v130(constB71, bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v127(constB71, B) <=> v130(constB71, B)))) | (~less_3(bitIndex2)) | (v127(constB71, bitIndex2) <=> v130(constB71, bitIndex2)))),
% 14.61/9.83 inference(rewrite,[status(thm)],[])).
% 14.61/9.83 tff(11131,plain,
% 14.61/9.83 ((~![B: $i] : ((~less_3(B)) | (v127(constB71, B) <=> v130(constB71, B)))) | ((~less_3(bitIndex2)) | (v127(constB71, bitIndex2) <=> v130(constB71, bitIndex2)))),
% 14.61/9.83 inference(quant_inst,[status(thm)],[])).
% 14.61/9.83 tff(11132,plain,
% 14.61/9.83 ((~![B: $i] : ((~less_3(B)) | (v127(constB71, B) <=> v130(constB71, B)))) | (~less_3(bitIndex2)) | (v127(constB71, bitIndex2) <=> v130(constB71, bitIndex2))),
% 14.61/9.83 inference(modus_ponens,[status(thm)],[11131, 11130])).
% 14.61/9.83 tff(11133,plain,
% 14.61/9.83 (v127(constB71, bitIndex2) <=> v130(constB71, bitIndex2)),
% 14.61/9.83 inference(unit_resolution,[status(thm)],[11132, 413, 11129])).
% 14.61/9.83 tff(11134,plain,
% 14.61/9.83 (((~![VarCurr: $i] : ((~v122(VarCurr)) | ![B: $i] : ((~less_3(B)) | (v130(VarCurr, B) <=> b100(B))))) | ((~v122(constB71)) | ![B: $i] : ((~less_3(B)) | (v130(constB71, B) <=> b100(B))))) <=> ((~![VarCurr: $i] : ((~v122(VarCurr)) | ![B: $i] : ((~less_3(B)) | (v130(VarCurr, B) <=> b100(B))))) | (~v122(constB71)) | ![B: $i] : ((~less_3(B)) | (v130(constB71, B) <=> b100(B))))),
% 14.61/9.83 inference(rewrite,[status(thm)],[])).
% 14.61/9.83 tff(11135,plain,
% 14.61/9.83 ((~![VarCurr: $i] : ((~v122(VarCurr)) | ![B: $i] : ((~less_3(B)) | (v130(VarCurr, B) <=> b100(B))))) | ((~v122(constB71)) | ![B: $i] : ((~less_3(B)) | (v130(constB71, B) <=> b100(B))))),
% 14.61/9.83 inference(quant_inst,[status(thm)],[])).
% 14.61/9.83 tff(11136,plain,
% 14.61/9.83 ((~![VarCurr: $i] : ((~v122(VarCurr)) | ![B: $i] : ((~less_3(B)) | (v130(VarCurr, B) <=> b100(B))))) | (~v122(constB71)) | ![B: $i] : ((~less_3(B)) | (v130(constB71, B) <=> b100(B)))),
% 14.61/9.83 inference(modus_ponens,[status(thm)],[11135, 11134])).
% 14.61/9.83 tff(11137,plain,
% 14.61/9.83 ((~v122(constB71)) | ![B: $i] : ((~less_3(B)) | (v130(constB71, B) <=> b100(B)))),
% 14.61/9.83 inference(unit_resolution,[status(thm)],[11136, 6153])).
% 14.61/9.83 tff(11138,plain,
% 14.61/9.83 (![B: $i] : ((~less_3(B)) | (v130(constB71, B) <=> b100(B)))),
% 14.61/9.83 inference(unit_resolution,[status(thm)],[11137, 11065])).
% 14.61/9.83 tff(11139,plain,
% 14.61/9.83 (((~![B: $i] : ((~less_3(B)) | (v130(constB71, B) <=> b100(B)))) | ((~less_3(bitIndex2)) | (v130(constB71, bitIndex2) <=> b100(bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v130(constB71, B) <=> b100(B)))) | (~less_3(bitIndex2)) | (v130(constB71, bitIndex2) <=> b100(bitIndex2)))),
% 14.61/9.83 inference(rewrite,[status(thm)],[])).
% 14.61/9.83 tff(11140,plain,
% 14.61/9.83 ((~![B: $i] : ((~less_3(B)) | (v130(constB71, B) <=> b100(B)))) | ((~less_3(bitIndex2)) | (v130(constB71, bitIndex2) <=> b100(bitIndex2)))),
% 14.61/9.83 inference(quant_inst,[status(thm)],[])).
% 14.61/9.83 tff(11141,plain,
% 14.61/9.83 ((~![B: $i] : ((~less_3(B)) | (v130(constB71, B) <=> b100(B)))) | (~less_3(bitIndex2)) | (v130(constB71, bitIndex2) <=> b100(bitIndex2))),
% 14.61/9.83 inference(modus_ponens,[status(thm)],[11140, 11139])).
% 14.61/9.83 tff(11142,plain,
% 14.61/9.83 (v130(constB71, bitIndex2) <=> b100(bitIndex2)),
% 14.61/9.83 inference(unit_resolution,[status(thm)],[11141, 413, 11138])).
% 14.61/9.83 tff(11143,plain,
% 14.61/9.83 ((~(v130(constB71, bitIndex2) <=> b100(bitIndex2))) | v130(constB71, bitIndex2) | (~b100(bitIndex2))),
% 14.61/9.83 inference(tautology,[status(thm)],[])).
% 14.61/9.83 tff(11144,plain,
% 14.61/9.83 ((~(v130(constB71, bitIndex2) <=> b100(bitIndex2))) | v130(constB71, bitIndex2)),
% 14.61/9.83 inference(unit_resolution,[status(thm)],[11143, 5209])).
% 14.61/9.83 tff(11145,plain,
% 14.61/9.83 (v130(constB71, bitIndex2)),
% 14.61/9.83 inference(unit_resolution,[status(thm)],[11144, 11142])).
% 14.61/9.83 tff(11146,plain,
% 14.61/9.83 ((~(v127(constB71, bitIndex2) <=> v130(constB71, bitIndex2))) | v127(constB71, bitIndex2) | (~v130(constB71, bitIndex2))),
% 14.61/9.83 inference(tautology,[status(thm)],[])).
% 14.61/9.83 tff(11147,plain,
% 14.61/9.83 (v127(constB71, bitIndex2)),
% 14.61/9.83 inference(unit_resolution,[status(thm)],[11146, 11145, 11133])).
% 14.61/9.83 tff(11148,plain,
% 14.61/9.83 ((~(v129(constB72, bitIndex2) <=> v127(constB71, bitIndex2))) | v129(constB72, bitIndex2) | (~v127(constB71, bitIndex2))),
% 14.61/9.83 inference(tautology,[status(thm)],[])).
% 14.61/9.83 tff(11149,plain,
% 14.61/9.83 (v129(constB72, bitIndex2)),
% 14.61/9.83 inference(unit_resolution,[status(thm)],[11148, 11147, 11125])).
% 14.61/9.83 tff(11150,plain,
% 14.61/9.83 ((~(v90(constB72, bitIndex2) <=> v129(constB72, bitIndex2))) | v90(constB72, bitIndex2) | (~v129(constB72, bitIndex2))),
% 14.61/9.83 inference(tautology,[status(thm)],[])).
% 14.61/9.83 tff(11151,plain,
% 14.61/9.83 (v90(constB72, bitIndex2)),
% 14.61/9.83 inference(unit_resolution,[status(thm)],[11150, 11149, 11117])).
% 14.61/9.83 tff(11152,plain,
% 14.61/9.83 ((~(v90(constB73, bitIndex2) <=> v90(constB72, bitIndex2))) | v90(constB73, bitIndex2) | (~v90(constB72, bitIndex2))),
% 14.61/9.83 inference(tautology,[status(thm)],[])).
% 14.61/9.83 tff(11153,plain,
% 14.61/9.83 (v90(constB73, bitIndex2)),
% 14.61/9.83 inference(unit_resolution,[status(thm)],[11152, 11151, 1659])).
% 14.61/9.83 tff(11154,plain,
% 14.61/9.83 (((~![B: $i] : ((~less_3(B)) | (v90(constB73, B) <=> v90(constB72, B)))) | ((~less_3(bitIndex0)) | (v90(constB73, bitIndex0) <=> v90(constB72, bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v90(constB73, B) <=> v90(constB72, B)))) | (~less_3(bitIndex0)) | (v90(constB73, bitIndex0) <=> v90(constB72, bitIndex0)))),
% 14.61/9.83 inference(rewrite,[status(thm)],[])).
% 14.61/9.83 tff(11155,plain,
% 14.61/9.83 ((~![B: $i] : ((~less_3(B)) | (v90(constB73, B) <=> v90(constB72, B)))) | ((~less_3(bitIndex0)) | (v90(constB73, bitIndex0) <=> v90(constB72, bitIndex0)))),
% 14.61/9.83 inference(quant_inst,[status(thm)],[])).
% 14.61/9.83 tff(11156,plain,
% 14.61/9.83 ((~![B: $i] : ((~less_3(B)) | (v90(constB73, B) <=> v90(constB72, B)))) | (~less_3(bitIndex0)) | (v90(constB73, bitIndex0) <=> v90(constB72, bitIndex0))),
% 14.61/9.83 inference(modus_ponens,[status(thm)],[11155, 11154])).
% 14.61/9.83 tff(11157,plain,
% 14.61/9.83 (v90(constB73, bitIndex0) <=> v90(constB72, bitIndex0)),
% 14.61/9.83 inference(unit_resolution,[status(thm)],[11156, 5004, 1655])).
% 14.61/9.83 tff(11158,plain,
% 14.61/9.83 (((~![B: $i] : ((~less_3(B)) | (v90(constB72, B) <=> v129(constB72, B)))) | ((~less_3(bitIndex0)) | (v90(constB72, bitIndex0) <=> v129(constB72, bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v90(constB72, B) <=> v129(constB72, B)))) | (~less_3(bitIndex0)) | (v90(constB72, bitIndex0) <=> v129(constB72, bitIndex0)))),
% 14.61/9.84 inference(rewrite,[status(thm)],[])).
% 14.61/9.84 tff(11159,plain,
% 14.61/9.84 ((~![B: $i] : ((~less_3(B)) | (v90(constB72, B) <=> v129(constB72, B)))) | ((~less_3(bitIndex0)) | (v90(constB72, bitIndex0) <=> v129(constB72, bitIndex0)))),
% 14.61/9.84 inference(quant_inst,[status(thm)],[])).
% 14.61/9.84 tff(11160,plain,
% 14.61/9.84 ((~![B: $i] : ((~less_3(B)) | (v90(constB72, B) <=> v129(constB72, B)))) | (~less_3(bitIndex0)) | (v90(constB72, bitIndex0) <=> v129(constB72, bitIndex0))),
% 14.61/9.84 inference(modus_ponens,[status(thm)],[11159, 11158])).
% 14.61/9.84 tff(11161,plain,
% 14.61/9.84 (v90(constB72, bitIndex0) <=> v129(constB72, bitIndex0)),
% 14.61/9.84 inference(unit_resolution,[status(thm)],[11160, 5004, 11113])).
% 14.61/9.84 tff(11162,plain,
% 14.61/9.84 (((~![B: $i] : ((~less_3(B)) | (v129(constB72, B) <=> v127(constB71, B)))) | ((~less_3(bitIndex0)) | (v129(constB72, bitIndex0) <=> v127(constB71, bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v129(constB72, B) <=> v127(constB71, B)))) | (~less_3(bitIndex0)) | (v129(constB72, bitIndex0) <=> v127(constB71, bitIndex0)))),
% 14.61/9.84 inference(rewrite,[status(thm)],[])).
% 14.61/9.84 tff(11163,plain,
% 14.61/9.84 ((~![B: $i] : ((~less_3(B)) | (v129(constB72, B) <=> v127(constB71, B)))) | ((~less_3(bitIndex0)) | (v129(constB72, bitIndex0) <=> v127(constB71, bitIndex0)))),
% 14.61/9.84 inference(quant_inst,[status(thm)],[])).
% 14.61/9.84 tff(11164,plain,
% 14.61/9.84 ((~![B: $i] : ((~less_3(B)) | (v129(constB72, B) <=> v127(constB71, B)))) | (~less_3(bitIndex0)) | (v129(constB72, bitIndex0) <=> v127(constB71, bitIndex0))),
% 14.61/9.84 inference(modus_ponens,[status(thm)],[11163, 11162])).
% 14.61/9.84 tff(11165,plain,
% 14.61/9.84 (v129(constB72, bitIndex0) <=> v127(constB71, bitIndex0)),
% 14.61/9.84 inference(unit_resolution,[status(thm)],[11164, 5004, 11121])).
% 14.61/9.84 tff(11166,plain,
% 14.61/9.84 (((~![B: $i] : ((~less_3(B)) | (v127(constB71, B) <=> v130(constB71, B)))) | ((~less_3(bitIndex0)) | (v127(constB71, bitIndex0) <=> v130(constB71, bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v127(constB71, B) <=> v130(constB71, B)))) | (~less_3(bitIndex0)) | (v127(constB71, bitIndex0) <=> v130(constB71, bitIndex0)))),
% 14.61/9.84 inference(rewrite,[status(thm)],[])).
% 14.61/9.84 tff(11167,plain,
% 14.61/9.84 ((~![B: $i] : ((~less_3(B)) | (v127(constB71, B) <=> v130(constB71, B)))) | ((~less_3(bitIndex0)) | (v127(constB71, bitIndex0) <=> v130(constB71, bitIndex0)))),
% 14.61/9.84 inference(quant_inst,[status(thm)],[])).
% 14.61/9.84 tff(11168,plain,
% 14.61/9.84 ((~![B: $i] : ((~less_3(B)) | (v127(constB71, B) <=> v130(constB71, B)))) | (~less_3(bitIndex0)) | (v127(constB71, bitIndex0) <=> v130(constB71, bitIndex0))),
% 14.61/9.84 inference(modus_ponens,[status(thm)],[11167, 11166])).
% 14.61/9.84 tff(11169,plain,
% 14.61/9.84 (v127(constB71, bitIndex0) <=> v130(constB71, bitIndex0)),
% 14.61/9.84 inference(unit_resolution,[status(thm)],[11168, 5004, 11129])).
% 14.61/9.84 tff(11170,plain,
% 14.61/9.84 (((~![B: $i] : ((~less_3(B)) | (v130(constB71, B) <=> b100(B)))) | ((~less_3(bitIndex0)) | (v130(constB71, bitIndex0) <=> b100(bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v130(constB71, B) <=> b100(B)))) | (~less_3(bitIndex0)) | (v130(constB71, bitIndex0) <=> b100(bitIndex0)))),
% 14.61/9.84 inference(rewrite,[status(thm)],[])).
% 14.61/9.84 tff(11171,plain,
% 14.61/9.84 ((~![B: $i] : ((~less_3(B)) | (v130(constB71, B) <=> b100(B)))) | ((~less_3(bitIndex0)) | (v130(constB71, bitIndex0) <=> b100(bitIndex0)))),
% 14.61/9.84 inference(quant_inst,[status(thm)],[])).
% 14.61/9.84 tff(11172,plain,
% 14.61/9.84 ((~![B: $i] : ((~less_3(B)) | (v130(constB71, B) <=> b100(B)))) | (~less_3(bitIndex0)) | (v130(constB71, bitIndex0) <=> b100(bitIndex0))),
% 14.61/9.84 inference(modus_ponens,[status(thm)],[11171, 11170])).
% 14.61/9.84 tff(11173,plain,
% 14.61/9.84 (v130(constB71, bitIndex0) <=> b100(bitIndex0)),
% 14.61/9.84 inference(unit_resolution,[status(thm)],[11172, 5004, 11138])).
% 14.61/9.84 tff(11174,plain,
% 14.61/9.84 ((~(v130(constB71, bitIndex0) <=> b100(bitIndex0))) | (~v130(constB71, bitIndex0)) | b100(bitIndex0)),
% 14.61/9.84 inference(tautology,[status(thm)],[])).
% 14.61/9.84 tff(11175,plain,
% 14.61/9.84 ((~(v130(constB71, bitIndex0) <=> b100(bitIndex0))) | (~v130(constB71, bitIndex0))),
% 14.61/9.84 inference(unit_resolution,[status(thm)],[11174, 5243])).
% 14.61/9.84 tff(11176,plain,
% 14.61/9.84 (~v130(constB71, bitIndex0)),
% 14.61/9.84 inference(unit_resolution,[status(thm)],[11175, 11173])).
% 14.61/9.84 tff(11177,plain,
% 14.61/9.84 ((~(v127(constB71, bitIndex0) <=> v130(constB71, bitIndex0))) | (~v127(constB71, bitIndex0)) | v130(constB71, bitIndex0)),
% 14.61/9.84 inference(tautology,[status(thm)],[])).
% 14.61/9.84 tff(11178,plain,
% 14.61/9.84 (~v127(constB71, bitIndex0)),
% 14.61/9.84 inference(unit_resolution,[status(thm)],[11177, 11176, 11169])).
% 14.61/9.84 tff(11179,plain,
% 14.61/9.84 ((~(v129(constB72, bitIndex0) <=> v127(constB71, bitIndex0))) | (~v129(constB72, bitIndex0)) | v127(constB71, bitIndex0)),
% 14.61/9.84 inference(tautology,[status(thm)],[])).
% 14.61/9.84 tff(11180,plain,
% 14.61/9.84 (~v129(constB72, bitIndex0)),
% 14.61/9.84 inference(unit_resolution,[status(thm)],[11179, 11178, 11165])).
% 14.61/9.84 tff(11181,plain,
% 14.61/9.84 ((~(v90(constB72, bitIndex0) <=> v129(constB72, bitIndex0))) | (~v90(constB72, bitIndex0)) | v129(constB72, bitIndex0)),
% 14.61/9.84 inference(tautology,[status(thm)],[])).
% 14.61/9.84 tff(11182,plain,
% 14.61/9.84 (~v90(constB72, bitIndex0)),
% 14.61/9.84 inference(unit_resolution,[status(thm)],[11181, 11180, 11161])).
% 14.61/9.84 tff(11183,plain,
% 14.61/9.84 ((~(v90(constB73, bitIndex0) <=> v90(constB72, bitIndex0))) | (~v90(constB73, bitIndex0)) | v90(constB72, bitIndex0)),
% 14.61/9.84 inference(tautology,[status(thm)],[])).
% 14.61/9.84 tff(11184,plain,
% 14.61/9.84 (~v90(constB73, bitIndex0)),
% 14.61/9.84 inference(unit_resolution,[status(thm)],[11183, 11182, 11157])).
% 14.61/9.84 tff(11185,plain,
% 14.61/9.84 (((~![B: $i] : ((~less_3(B)) | (v90(constB73, B) <=> v90(constB72, B)))) | ((~less_3(bitIndex1)) | (v90(constB73, bitIndex1) <=> v90(constB72, bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v90(constB73, B) <=> v90(constB72, B)))) | (~less_3(bitIndex1)) | (v90(constB73, bitIndex1) <=> v90(constB72, bitIndex1)))),
% 14.61/9.84 inference(rewrite,[status(thm)],[])).
% 14.61/9.84 tff(11186,plain,
% 14.61/9.84 ((~![B: $i] : ((~less_3(B)) | (v90(constB73, B) <=> v90(constB72, B)))) | ((~less_3(bitIndex1)) | (v90(constB73, bitIndex1) <=> v90(constB72, bitIndex1)))),
% 14.61/9.84 inference(quant_inst,[status(thm)],[])).
% 14.61/9.84 tff(11187,plain,
% 14.61/9.84 ((~![B: $i] : ((~less_3(B)) | (v90(constB73, B) <=> v90(constB72, B)))) | (~less_3(bitIndex1)) | (v90(constB73, bitIndex1) <=> v90(constB72, bitIndex1))),
% 14.61/9.84 inference(modus_ponens,[status(thm)],[11186, 11185])).
% 14.61/9.84 tff(11188,plain,
% 14.61/9.84 (v90(constB73, bitIndex1) <=> v90(constB72, bitIndex1)),
% 14.61/9.84 inference(unit_resolution,[status(thm)],[11187, 5017, 1655])).
% 14.61/9.84 tff(11189,plain,
% 14.61/9.84 (((~![B: $i] : ((~less_3(B)) | (v90(constB72, B) <=> v129(constB72, B)))) | ((~less_3(bitIndex1)) | (v90(constB72, bitIndex1) <=> v129(constB72, bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v90(constB72, B) <=> v129(constB72, B)))) | (~less_3(bitIndex1)) | (v90(constB72, bitIndex1) <=> v129(constB72, bitIndex1)))),
% 14.61/9.84 inference(rewrite,[status(thm)],[])).
% 14.61/9.84 tff(11190,plain,
% 14.61/9.84 ((~![B: $i] : ((~less_3(B)) | (v90(constB72, B) <=> v129(constB72, B)))) | ((~less_3(bitIndex1)) | (v90(constB72, bitIndex1) <=> v129(constB72, bitIndex1)))),
% 14.61/9.84 inference(quant_inst,[status(thm)],[])).
% 14.61/9.84 tff(11191,plain,
% 14.61/9.84 ((~![B: $i] : ((~less_3(B)) | (v90(constB72, B) <=> v129(constB72, B)))) | (~less_3(bitIndex1)) | (v90(constB72, bitIndex1) <=> v129(constB72, bitIndex1))),
% 14.61/9.84 inference(modus_ponens,[status(thm)],[11190, 11189])).
% 14.61/9.84 tff(11192,plain,
% 14.61/9.84 (v90(constB72, bitIndex1) <=> v129(constB72, bitIndex1)),
% 14.61/9.84 inference(unit_resolution,[status(thm)],[11191, 5017, 11113])).
% 14.61/9.84 tff(11193,plain,
% 14.61/9.84 (((~![B: $i] : ((~less_3(B)) | (v129(constB72, B) <=> v127(constB71, B)))) | ((~less_3(bitIndex1)) | (v129(constB72, bitIndex1) <=> v127(constB71, bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v129(constB72, B) <=> v127(constB71, B)))) | (~less_3(bitIndex1)) | (v129(constB72, bitIndex1) <=> v127(constB71, bitIndex1)))),
% 14.61/9.84 inference(rewrite,[status(thm)],[])).
% 14.61/9.84 tff(11194,plain,
% 14.61/9.84 ((~![B: $i] : ((~less_3(B)) | (v129(constB72, B) <=> v127(constB71, B)))) | ((~less_3(bitIndex1)) | (v129(constB72, bitIndex1) <=> v127(constB71, bitIndex1)))),
% 14.61/9.84 inference(quant_inst,[status(thm)],[])).
% 14.61/9.84 tff(11195,plain,
% 14.61/9.84 ((~![B: $i] : ((~less_3(B)) | (v129(constB72, B) <=> v127(constB71, B)))) | (~less_3(bitIndex1)) | (v129(constB72, bitIndex1) <=> v127(constB71, bitIndex1))),
% 14.61/9.84 inference(modus_ponens,[status(thm)],[11194, 11193])).
% 14.61/9.84 tff(11196,plain,
% 14.61/9.84 (v129(constB72, bitIndex1) <=> v127(constB71, bitIndex1)),
% 14.61/9.84 inference(unit_resolution,[status(thm)],[11195, 5017, 11121])).
% 14.61/9.84 tff(11197,plain,
% 14.61/9.84 (((~![B: $i] : ((~less_3(B)) | (v127(constB71, B) <=> v130(constB71, B)))) | ((~less_3(bitIndex1)) | (v127(constB71, bitIndex1) <=> v130(constB71, bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v127(constB71, B) <=> v130(constB71, B)))) | (~less_3(bitIndex1)) | (v127(constB71, bitIndex1) <=> v130(constB71, bitIndex1)))),
% 14.61/9.84 inference(rewrite,[status(thm)],[])).
% 14.61/9.84 tff(11198,plain,
% 14.61/9.84 ((~![B: $i] : ((~less_3(B)) | (v127(constB71, B) <=> v130(constB71, B)))) | ((~less_3(bitIndex1)) | (v127(constB71, bitIndex1) <=> v130(constB71, bitIndex1)))),
% 14.61/9.84 inference(quant_inst,[status(thm)],[])).
% 14.61/9.84 tff(11199,plain,
% 14.61/9.84 ((~![B: $i] : ((~less_3(B)) | (v127(constB71, B) <=> v130(constB71, B)))) | (~less_3(bitIndex1)) | (v127(constB71, bitIndex1) <=> v130(constB71, bitIndex1))),
% 14.61/9.84 inference(modus_ponens,[status(thm)],[11198, 11197])).
% 14.61/9.84 tff(11200,plain,
% 14.61/9.84 (v127(constB71, bitIndex1) <=> v130(constB71, bitIndex1)),
% 14.61/9.84 inference(unit_resolution,[status(thm)],[11199, 5017, 11129])).
% 14.61/9.84 tff(11201,plain,
% 14.61/9.84 (((~![B: $i] : ((~less_3(B)) | (v130(constB71, B) <=> b100(B)))) | ((~less_3(bitIndex1)) | (v130(constB71, bitIndex1) <=> b100(bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v130(constB71, B) <=> b100(B)))) | (~less_3(bitIndex1)) | (v130(constB71, bitIndex1) <=> b100(bitIndex1)))),
% 14.61/9.84 inference(rewrite,[status(thm)],[])).
% 14.61/9.84 tff(11202,plain,
% 14.61/9.84 ((~![B: $i] : ((~less_3(B)) | (v130(constB71, B) <=> b100(B)))) | ((~less_3(bitIndex1)) | (v130(constB71, bitIndex1) <=> b100(bitIndex1)))),
% 14.61/9.84 inference(quant_inst,[status(thm)],[])).
% 14.61/9.84 tff(11203,plain,
% 14.61/9.84 ((~![B: $i] : ((~less_3(B)) | (v130(constB71, B) <=> b100(B)))) | (~less_3(bitIndex1)) | (v130(constB71, bitIndex1) <=> b100(bitIndex1))),
% 14.61/9.84 inference(modus_ponens,[status(thm)],[11202, 11201])).
% 14.61/9.84 tff(11204,plain,
% 14.61/9.84 (v130(constB71, bitIndex1) <=> b100(bitIndex1)),
% 14.61/9.84 inference(unit_resolution,[status(thm)],[11203, 5017, 11138])).
% 14.61/9.84 tff(11205,plain,
% 14.61/9.84 ((~(v130(constB71, bitIndex1) <=> b100(bitIndex1))) | (~v130(constB71, bitIndex1)) | b100(bitIndex1)),
% 14.61/9.84 inference(tautology,[status(thm)],[])).
% 14.61/9.84 tff(11206,plain,
% 14.61/9.84 ((~(v130(constB71, bitIndex1) <=> b100(bitIndex1))) | (~v130(constB71, bitIndex1))),
% 14.61/9.84 inference(unit_resolution,[status(thm)],[11205, 5277])).
% 14.61/9.84 tff(11207,plain,
% 14.61/9.84 (~v130(constB71, bitIndex1)),
% 14.61/9.84 inference(unit_resolution,[status(thm)],[11206, 11204])).
% 14.61/9.84 tff(11208,plain,
% 14.61/9.84 ((~(v127(constB71, bitIndex1) <=> v130(constB71, bitIndex1))) | (~v127(constB71, bitIndex1)) | v130(constB71, bitIndex1)),
% 14.61/9.84 inference(tautology,[status(thm)],[])).
% 14.61/9.84 tff(11209,plain,
% 14.61/9.84 (~v127(constB71, bitIndex1)),
% 14.61/9.84 inference(unit_resolution,[status(thm)],[11208, 11207, 11200])).
% 14.61/9.84 tff(11210,plain,
% 14.61/9.84 ((~(v129(constB72, bitIndex1) <=> v127(constB71, bitIndex1))) | (~v129(constB72, bitIndex1)) | v127(constB71, bitIndex1)),
% 14.61/9.84 inference(tautology,[status(thm)],[])).
% 14.61/9.84 tff(11211,plain,
% 14.61/9.84 (~v129(constB72, bitIndex1)),
% 14.61/9.84 inference(unit_resolution,[status(thm)],[11210, 11209, 11196])).
% 14.61/9.84 tff(11212,plain,
% 14.61/9.84 ((~(v90(constB72, bitIndex1) <=> v129(constB72, bitIndex1))) | (~v90(constB72, bitIndex1)) | v129(constB72, bitIndex1)),
% 14.61/9.84 inference(tautology,[status(thm)],[])).
% 14.61/9.84 tff(11213,plain,
% 14.61/9.84 (~v90(constB72, bitIndex1)),
% 14.61/9.84 inference(unit_resolution,[status(thm)],[11212, 11211, 11192])).
% 14.61/9.84 tff(11214,plain,
% 14.61/9.84 ((~(v90(constB73, bitIndex1) <=> v90(constB72, bitIndex1))) | (~v90(constB73, bitIndex1)) | v90(constB72, bitIndex1)),
% 14.61/9.84 inference(tautology,[status(thm)],[])).
% 14.61/9.84 tff(11215,plain,
% 14.61/9.84 (~v90(constB73, bitIndex1)),
% 14.61/9.84 inference(unit_resolution,[status(thm)],[11214, 11213, 11188])).
% 14.61/9.84 tff(11216,plain,
% 14.61/9.84 ((~((~v90(constB73, bitIndex2)) | v90(constB73, bitIndex1) | v90(constB73, bitIndex0))) | (~v90(constB73, bitIndex2)) | v90(constB73, bitIndex1) | v90(constB73, bitIndex0)),
% 14.61/9.84 inference(tautology,[status(thm)],[])).
% 14.61/9.84 tff(11217,plain,
% 14.61/9.84 (~((~v90(constB73, bitIndex2)) | v90(constB73, bitIndex1) | v90(constB73, bitIndex0))),
% 14.61/9.84 inference(unit_resolution,[status(thm)],[11216, 11215, 11184, 11153])).
% 14.61/9.84 tff(11218,plain,
% 14.61/9.84 ((~(v123(constB73) <=> (~((~v90(constB73, bitIndex2)) | v90(constB73, bitIndex1) | v90(constB73, bitIndex0))))) | v123(constB73) | ((~v90(constB73, bitIndex2)) | v90(constB73, bitIndex1) | v90(constB73, bitIndex0))),
% 14.61/9.84 inference(tautology,[status(thm)],[])).
% 14.61/9.84 tff(11219,plain,
% 14.61/9.84 (v123(constB73)),
% 14.61/9.84 inference(unit_resolution,[status(thm)],[11218, 11217, 1627])).
% 14.61/9.84 tff(11220,plain,
% 14.61/9.84 ((v116(constB73) | v123(constB73)) | (~v123(constB73))),
% 14.61/9.84 inference(tautology,[status(thm)],[])).
% 14.61/9.84 tff(11221,plain,
% 14.61/9.84 (v116(constB73) | v123(constB73)),
% 14.61/9.84 inference(unit_resolution,[status(thm)],[11220, 11219])).
% 14.61/9.84 tff(11222,plain,
% 14.61/9.84 ((~(v115(constB73) <=> (v116(constB73) | v123(constB73)))) | v115(constB73) | (~(v116(constB73) | v123(constB73)))),
% 14.61/9.84 inference(tautology,[status(thm)],[])).
% 14.61/9.84 tff(11223,plain,
% 14.61/9.84 (v115(constB73)),
% 14.61/9.84 inference(unit_resolution,[status(thm)],[11222, 11221, 1620])).
% 14.61/9.84 tff(11224,plain,
% 14.61/9.84 ((v115(constB73) | v124(constB73)) | (~v115(constB73))),
% 14.61/9.84 inference(tautology,[status(thm)],[])).
% 14.61/9.84 tff(11225,plain,
% 14.61/9.84 (v115(constB73) | v124(constB73)),
% 14.61/9.84 inference(unit_resolution,[status(thm)],[11224, 11223])).
% 14.61/9.84 tff(11226,plain,
% 14.61/9.84 ((~(v114(constB73) <=> (v115(constB73) | v124(constB73)))) | v114(constB73) | (~(v115(constB73) | v124(constB73)))),
% 14.61/9.84 inference(tautology,[status(thm)],[])).
% 14.61/9.84 tff(11227,plain,
% 14.61/9.84 (v114(constB73)),
% 14.61/9.84 inference(unit_resolution,[status(thm)],[11226, 11225, 1618])).
% 14.61/9.84 tff(11228,plain,
% 14.61/9.84 ((v114(constB73) | v125(constB73)) | (~v114(constB73))),
% 14.61/9.84 inference(tautology,[status(thm)],[])).
% 14.61/9.84 tff(11229,plain,
% 14.61/9.84 (v114(constB73) | v125(constB73)),
% 14.61/9.84 inference(unit_resolution,[status(thm)],[11228, 11227])).
% 14.61/9.84 tff(11230,plain,
% 14.61/9.84 ((~(v113(constB73) <=> (v114(constB73) | v125(constB73)))) | v113(constB73) | (~(v114(constB73) | v125(constB73)))),
% 14.61/9.84 inference(tautology,[status(thm)],[])).
% 14.61/9.84 tff(11231,plain,
% 14.61/9.84 (v113(constB73)),
% 14.61/9.84 inference(unit_resolution,[status(thm)],[11230, 11229, 1616])).
% 14.61/9.84 tff(11232,plain,
% 14.61/9.84 ((~![VarCurr: $i] : ((~v126(VarCurr)) <=> v111(VarCurr))) | ((~v126(constB73)) <=> v111(constB73))),
% 14.61/9.84 inference(quant_inst,[status(thm)],[])).
% 14.61/9.84 tff(11233,plain,
% 14.61/9.84 ((~v126(constB73)) <=> v111(constB73)),
% 14.61/9.84 inference(unit_resolution,[status(thm)],[11232, 5074])).
% 14.61/9.84 tff(11234,plain,
% 14.61/9.84 ((~![VarCurr: $i] : (v111(VarCurr) <=> v26(VarCurr))) | (v111(constB73) <=> v26(constB73))),
% 14.61/9.84 inference(quant_inst,[status(thm)],[])).
% 14.61/9.84 tff(11235,plain,
% 14.61/9.84 (v111(constB73) <=> v26(constB73)),
% 14.61/9.84 inference(unit_resolution,[status(thm)],[11234, 5086])).
% 14.61/9.84 tff(11236,plain,
% 14.61/9.84 ((~![VarCurr: $i] : (~v26(VarCurr))) | (~v26(constB73))),
% 14.61/9.84 inference(quant_inst,[status(thm)],[])).
% 14.61/9.84 tff(11237,plain,
% 14.61/9.84 (~v26(constB73)),
% 14.61/9.84 inference(unit_resolution,[status(thm)],[11236, 5098])).
% 14.61/9.84 tff(11238,plain,
% 14.61/9.84 ((~(v111(constB73) <=> v26(constB73))) | (~v111(constB73)) | v26(constB73)),
% 14.61/9.84 inference(tautology,[status(thm)],[])).
% 14.61/9.84 tff(11239,plain,
% 14.61/9.84 ((~(v111(constB73) <=> v26(constB73))) | (~v111(constB73))),
% 14.61/9.84 inference(unit_resolution,[status(thm)],[11238, 11237])).
% 14.61/9.84 tff(11240,plain,
% 14.61/9.84 (~v111(constB73)),
% 14.61/9.84 inference(unit_resolution,[status(thm)],[11239, 11235])).
% 14.61/9.84 tff(11241,plain,
% 14.61/9.84 ((~((~v126(constB73)) <=> v111(constB73))) | v126(constB73) | v111(constB73)),
% 14.61/9.84 inference(tautology,[status(thm)],[])).
% 14.61/9.84 tff(11242,plain,
% 14.61/9.84 ((~((~v126(constB73)) <=> v111(constB73))) | v126(constB73)),
% 14.61/9.84 inference(unit_resolution,[status(thm)],[11241, 11240])).
% 14.61/9.84 tff(11243,plain,
% 14.61/9.84 (v126(constB73)),
% 14.61/9.84 inference(unit_resolution,[status(thm)],[11242, 11233])).
% 14.61/9.84 tff(11244,plain,
% 14.61/9.84 ((~((~v113(constB73)) | (~v126(constB73)))) | (~v113(constB73)) | (~v126(constB73))),
% 14.61/9.84 inference(tautology,[status(thm)],[])).
% 14.61/9.84 tff(11245,plain,
% 14.61/9.84 ((~((~v113(constB73)) | (~v126(constB73)))) | (~v113(constB73))),
% 14.61/9.84 inference(unit_resolution,[status(thm)],[11244, 11243])).
% 14.61/9.84 tff(11246,plain,
% 14.61/9.84 (~((~v113(constB73)) | (~v126(constB73)))),
% 14.61/9.84 inference(unit_resolution,[status(thm)],[11245, 11231])).
% 14.61/9.84 tff(11247,plain,
% 14.61/9.84 ((~(v112(constB73) <=> (~((~v113(constB73)) | (~v126(constB73)))))) | v112(constB73) | ((~v113(constB73)) | (~v126(constB73)))),
% 14.61/9.85 inference(tautology,[status(thm)],[])).
% 14.61/9.85 tff(11248,plain,
% 14.61/9.85 (v112(constB73)),
% 14.61/9.85 inference(unit_resolution,[status(thm)],[11247, 11246, 1614])).
% 14.61/9.85 tff(11249,plain,
% 14.61/9.85 ((v111(constB73) | v112(constB73)) | (~v112(constB73))),
% 14.61/9.85 inference(tautology,[status(thm)],[])).
% 14.61/9.85 tff(11250,plain,
% 14.61/9.85 (v111(constB73) | v112(constB73)),
% 14.61/9.85 inference(unit_resolution,[status(thm)],[11249, 11248])).
% 14.61/9.85 tff(11251,plain,
% 14.61/9.85 ((~(v108(constB73) <=> (v111(constB73) | v112(constB73)))) | v108(constB73) | (~(v111(constB73) | v112(constB73)))),
% 14.61/9.85 inference(tautology,[status(thm)],[])).
% 14.61/9.85 tff(11252,plain,
% 14.61/9.85 (v108(constB73)),
% 14.61/9.85 inference(unit_resolution,[status(thm)],[11251, 11250, 1612])).
% 14.61/9.85 tff(11253,plain,
% 14.61/9.85 ((~(v110(constB74) <=> v108(constB73))) | v110(constB74) | (~v108(constB73))),
% 14.61/9.85 inference(tautology,[status(thm)],[])).
% 14.61/9.85 tff(11254,plain,
% 14.61/9.85 (v110(constB74)),
% 14.61/9.85 inference(unit_resolution,[status(thm)],[11253, 11252, 1610])).
% 14.61/9.85 tff(11255,plain,
% 14.61/9.85 ((~((~v101(constB74)) | (~v110(constB74)))) | (~v101(constB74)) | (~v110(constB74))),
% 14.61/9.85 inference(tautology,[status(thm)],[])).
% 14.61/9.85 tff(11256,plain,
% 14.61/9.85 (~((~v101(constB74)) | (~v110(constB74)))),
% 14.61/9.85 inference(unit_resolution,[status(thm)],[11255, 11254, 1606])).
% 14.61/9.85 tff(11257,plain,
% 14.61/9.85 ((~(v100(constB74) <=> (~((~v101(constB74)) | (~v110(constB74)))))) | v100(constB74) | ((~v101(constB74)) | (~v110(constB74)))),
% 14.61/9.85 inference(tautology,[status(thm)],[])).
% 14.61/9.85 tff(11258,plain,
% 14.61/9.85 (v100(constB74)),
% 14.61/9.85 inference(unit_resolution,[status(thm)],[11257, 11256, 1575])).
% 14.61/9.85 tff(11259,plain,
% 14.61/9.85 (((~![VarNext: $i] : ((~v100(VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v129(VarNext, B))))) | ((~v100(constB74)) | ![B: $i] : ((~less_3(B)) | (v90(constB74, B) <=> v129(constB74, B))))) <=> ((~![VarNext: $i] : ((~v100(VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v129(VarNext, B))))) | (~v100(constB74)) | ![B: $i] : ((~less_3(B)) | (v90(constB74, B) <=> v129(constB74, B))))),
% 14.61/9.85 inference(rewrite,[status(thm)],[])).
% 14.61/9.85 tff(11260,plain,
% 14.61/9.85 ((~![VarNext: $i] : ((~v100(VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v129(VarNext, B))))) | ((~v100(constB74)) | ![B: $i] : ((~less_3(B)) | (v90(constB74, B) <=> v129(constB74, B))))),
% 14.61/9.85 inference(quant_inst,[status(thm)],[])).
% 14.61/9.85 tff(11261,plain,
% 14.61/9.85 ((~![VarNext: $i] : ((~v100(VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v129(VarNext, B))))) | (~v100(constB74)) | ![B: $i] : ((~less_3(B)) | (v90(constB74, B) <=> v129(constB74, B)))),
% 14.61/9.85 inference(modus_ponens,[status(thm)],[11260, 11259])).
% 14.61/9.85 tff(11262,plain,
% 14.61/9.85 ((~v100(constB74)) | ![B: $i] : ((~less_3(B)) | (v90(constB74, B) <=> v129(constB74, B)))),
% 14.61/9.85 inference(unit_resolution,[status(thm)],[11261, 5134])).
% 14.61/9.85 tff(11263,plain,
% 14.61/9.85 (![B: $i] : ((~less_3(B)) | (v90(constB74, B) <=> v129(constB74, B)))),
% 14.61/9.85 inference(unit_resolution,[status(thm)],[11262, 11258])).
% 14.61/9.85 tff(11264,plain,
% 14.61/9.85 (((~![B: $i] : ((~less_3(B)) | (v90(constB74, B) <=> v129(constB74, B)))) | ((~less_3(bitIndex2)) | (v90(constB74, bitIndex2) <=> v129(constB74, bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v90(constB74, B) <=> v129(constB74, B)))) | (~less_3(bitIndex2)) | (v90(constB74, bitIndex2) <=> v129(constB74, bitIndex2)))),
% 14.61/9.85 inference(rewrite,[status(thm)],[])).
% 14.61/9.85 tff(11265,plain,
% 14.61/9.85 ((~![B: $i] : ((~less_3(B)) | (v90(constB74, B) <=> v129(constB74, B)))) | ((~less_3(bitIndex2)) | (v90(constB74, bitIndex2) <=> v129(constB74, bitIndex2)))),
% 14.61/9.85 inference(quant_inst,[status(thm)],[])).
% 14.61/9.85 tff(11266,plain,
% 14.61/9.85 ((~![B: $i] : ((~less_3(B)) | (v90(constB74, B) <=> v129(constB74, B)))) | (~less_3(bitIndex2)) | (v90(constB74, bitIndex2) <=> v129(constB74, bitIndex2))),
% 14.61/9.85 inference(modus_ponens,[status(thm)],[11265, 11264])).
% 14.61/9.85 tff(11267,plain,
% 14.61/9.85 (v90(constB74, bitIndex2) <=> v129(constB74, bitIndex2)),
% 14.61/9.85 inference(unit_resolution,[status(thm)],[11266, 413, 11263])).
% 14.61/9.85 tff(11268,plain,
% 14.61/9.85 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v129(VarNext, B) <=> v127(VarCurr, B))))) | ((~nextState(constB73, constB74)) | ![B: $i] : ((~less_3(B)) | (v129(constB74, B) <=> v127(constB73, B))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v129(VarNext, B) <=> v127(VarCurr, B))))) | (~nextState(constB73, constB74)) | ![B: $i] : ((~less_3(B)) | (v129(constB74, B) <=> v127(constB73, B))))),
% 14.61/9.85 inference(rewrite,[status(thm)],[])).
% 14.61/9.85 tff(11269,plain,
% 14.61/9.85 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v129(VarNext, B) <=> v127(VarCurr, B))))) | ((~nextState(constB73, constB74)) | ![B: $i] : ((~less_3(B)) | (v129(constB74, B) <=> v127(constB73, B))))),
% 14.61/9.85 inference(quant_inst,[status(thm)],[])).
% 14.61/9.85 tff(11270,plain,
% 14.61/9.85 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v129(VarNext, B) <=> v127(VarCurr, B))))) | (~nextState(constB73, constB74)) | ![B: $i] : ((~less_3(B)) | (v129(constB74, B) <=> v127(constB73, B)))),
% 14.61/9.85 inference(modus_ponens,[status(thm)],[11269, 11268])).
% 14.61/9.85 tff(11271,plain,
% 14.61/9.85 (![B: $i] : ((~less_3(B)) | (v129(constB74, B) <=> v127(constB73, B)))),
% 14.61/9.85 inference(unit_resolution,[status(thm)],[11270, 1571, 5156])).
% 14.61/9.85 tff(11272,plain,
% 14.61/9.85 (((~![B: $i] : ((~less_3(B)) | (v129(constB74, B) <=> v127(constB73, B)))) | ((~less_3(bitIndex2)) | (v129(constB74, bitIndex2) <=> v127(constB73, bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v129(constB74, B) <=> v127(constB73, B)))) | (~less_3(bitIndex2)) | (v129(constB74, bitIndex2) <=> v127(constB73, bitIndex2)))),
% 14.61/9.85 inference(rewrite,[status(thm)],[])).
% 14.61/9.85 tff(11273,plain,
% 14.61/9.85 ((~![B: $i] : ((~less_3(B)) | (v129(constB74, B) <=> v127(constB73, B)))) | ((~less_3(bitIndex2)) | (v129(constB74, bitIndex2) <=> v127(constB73, bitIndex2)))),
% 14.61/9.85 inference(quant_inst,[status(thm)],[])).
% 14.61/9.85 tff(11274,plain,
% 14.61/9.85 ((~![B: $i] : ((~less_3(B)) | (v129(constB74, B) <=> v127(constB73, B)))) | (~less_3(bitIndex2)) | (v129(constB74, bitIndex2) <=> v127(constB73, bitIndex2))),
% 14.61/9.85 inference(modus_ponens,[status(thm)],[11273, 11272])).
% 14.61/9.85 tff(11275,plain,
% 14.61/9.85 (v129(constB74, bitIndex2) <=> v127(constB73, bitIndex2)),
% 14.61/9.85 inference(unit_resolution,[status(thm)],[11274, 413, 11271])).
% 14.61/9.85 tff(11276,plain,
% 14.61/9.85 (((~![VarCurr: $i] : (v111(VarCurr) | ![B: $i] : ((~less_3(B)) | (v127(VarCurr, B) <=> v130(VarCurr, B))))) | (v111(constB73) | ![B: $i] : ((~less_3(B)) | (v127(constB73, B) <=> v130(constB73, B))))) <=> ((~![VarCurr: $i] : (v111(VarCurr) | ![B: $i] : ((~less_3(B)) | (v127(VarCurr, B) <=> v130(VarCurr, B))))) | v111(constB73) | ![B: $i] : ((~less_3(B)) | (v127(constB73, B) <=> v130(constB73, B))))),
% 14.61/9.85 inference(rewrite,[status(thm)],[])).
% 14.61/9.85 tff(11277,plain,
% 14.61/9.85 ((~![VarCurr: $i] : (v111(VarCurr) | ![B: $i] : ((~less_3(B)) | (v127(VarCurr, B) <=> v130(VarCurr, B))))) | (v111(constB73) | ![B: $i] : ((~less_3(B)) | (v127(constB73, B) <=> v130(constB73, B))))),
% 14.61/9.85 inference(quant_inst,[status(thm)],[])).
% 14.61/9.85 tff(11278,plain,
% 14.61/9.85 ((~![VarCurr: $i] : (v111(VarCurr) | ![B: $i] : ((~less_3(B)) | (v127(VarCurr, B) <=> v130(VarCurr, B))))) | v111(constB73) | ![B: $i] : ((~less_3(B)) | (v127(constB73, B) <=> v130(constB73, B)))),
% 14.61/9.85 inference(modus_ponens,[status(thm)],[11277, 11276])).
% 14.61/9.85 tff(11279,plain,
% 14.61/9.85 (![B: $i] : ((~less_3(B)) | (v127(constB73, B) <=> v130(constB73, B)))),
% 14.61/9.85 inference(unit_resolution,[status(thm)],[11278, 5177, 11240])).
% 14.61/9.85 tff(11280,plain,
% 14.61/9.85 (((~![B: $i] : ((~less_3(B)) | (v127(constB73, B) <=> v130(constB73, B)))) | ((~less_3(bitIndex2)) | (v127(constB73, bitIndex2) <=> v130(constB73, bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v127(constB73, B) <=> v130(constB73, B)))) | (~less_3(bitIndex2)) | (v127(constB73, bitIndex2) <=> v130(constB73, bitIndex2)))),
% 14.61/9.85 inference(rewrite,[status(thm)],[])).
% 14.61/9.85 tff(11281,plain,
% 14.61/9.85 ((~![B: $i] : ((~less_3(B)) | (v127(constB73, B) <=> v130(constB73, B)))) | ((~less_3(bitIndex2)) | (v127(constB73, bitIndex2) <=> v130(constB73, bitIndex2)))),
% 14.61/9.85 inference(quant_inst,[status(thm)],[])).
% 14.61/9.85 tff(11282,plain,
% 14.61/9.85 ((~![B: $i] : ((~less_3(B)) | (v127(constB73, B) <=> v130(constB73, B)))) | (~less_3(bitIndex2)) | (v127(constB73, bitIndex2) <=> v130(constB73, bitIndex2))),
% 14.61/9.85 inference(modus_ponens,[status(thm)],[11281, 11280])).
% 14.61/9.85 tff(11283,plain,
% 14.61/9.85 (v127(constB73, bitIndex2) <=> v130(constB73, bitIndex2)),
% 14.61/9.85 inference(unit_resolution,[status(thm)],[11282, 413, 11279])).
% 14.61/9.85 tff(11284,plain,
% 14.61/9.85 (((~![VarCurr: $i] : ((~v123(VarCurr)) | ![B: $i] : ((~less_3(B)) | (v130(VarCurr, B) <=> b110(B))))) | ((~v123(constB73)) | ![B: $i] : ((~less_3(B)) | (v130(constB73, B) <=> b110(B))))) <=> ((~![VarCurr: $i] : ((~v123(VarCurr)) | ![B: $i] : ((~less_3(B)) | (v130(VarCurr, B) <=> b110(B))))) | (~v123(constB73)) | ![B: $i] : ((~less_3(B)) | (v130(constB73, B) <=> b110(B))))),
% 14.61/9.85 inference(rewrite,[status(thm)],[])).
% 14.61/9.85 tff(11285,plain,
% 14.61/9.85 ((~![VarCurr: $i] : ((~v123(VarCurr)) | ![B: $i] : ((~less_3(B)) | (v130(VarCurr, B) <=> b110(B))))) | ((~v123(constB73)) | ![B: $i] : ((~less_3(B)) | (v130(constB73, B) <=> b110(B))))),
% 14.61/9.85 inference(quant_inst,[status(thm)],[])).
% 14.61/9.85 tff(11286,plain,
% 14.61/9.85 ((~![VarCurr: $i] : ((~v123(VarCurr)) | ![B: $i] : ((~less_3(B)) | (v130(VarCurr, B) <=> b110(B))))) | (~v123(constB73)) | ![B: $i] : ((~less_3(B)) | (v130(constB73, B) <=> b110(B)))),
% 14.61/9.85 inference(modus_ponens,[status(thm)],[11285, 11284])).
% 14.61/9.85 tff(11287,plain,
% 14.61/9.85 ((~v123(constB73)) | ![B: $i] : ((~less_3(B)) | (v130(constB73, B) <=> b110(B)))),
% 14.61/9.85 inference(unit_resolution,[status(thm)],[11286, 5369])).
% 14.61/9.85 tff(11288,plain,
% 14.61/9.85 (![B: $i] : ((~less_3(B)) | (v130(constB73, B) <=> b110(B)))),
% 14.61/9.85 inference(unit_resolution,[status(thm)],[11287, 11219])).
% 14.61/9.85 tff(11289,plain,
% 14.61/9.85 (((~![B: $i] : ((~less_3(B)) | (v130(constB73, B) <=> b110(B)))) | ((~less_3(bitIndex2)) | (v130(constB73, bitIndex2) <=> b110(bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v130(constB73, B) <=> b110(B)))) | (~less_3(bitIndex2)) | (v130(constB73, bitIndex2) <=> b110(bitIndex2)))),
% 14.61/9.85 inference(rewrite,[status(thm)],[])).
% 14.61/9.85 tff(11290,plain,
% 14.61/9.85 ((~![B: $i] : ((~less_3(B)) | (v130(constB73, B) <=> b110(B)))) | ((~less_3(bitIndex2)) | (v130(constB73, bitIndex2) <=> b110(bitIndex2)))),
% 14.61/9.85 inference(quant_inst,[status(thm)],[])).
% 14.61/9.85 tff(11291,plain,
% 14.61/9.85 ((~![B: $i] : ((~less_3(B)) | (v130(constB73, B) <=> b110(B)))) | (~less_3(bitIndex2)) | (v130(constB73, bitIndex2) <=> b110(bitIndex2))),
% 14.61/9.85 inference(modus_ponens,[status(thm)],[11290, 11289])).
% 14.61/9.85 tff(11292,plain,
% 14.61/9.85 (v130(constB73, bitIndex2) <=> b110(bitIndex2)),
% 14.61/9.85 inference(unit_resolution,[status(thm)],[11291, 413, 11288])).
% 14.61/9.85 tff(11293,plain,
% 14.61/9.85 ((~(v130(constB73, bitIndex2) <=> b110(bitIndex2))) | v130(constB73, bitIndex2) | (~b110(bitIndex2))),
% 14.61/9.85 inference(tautology,[status(thm)],[])).
% 14.61/9.85 tff(11294,plain,
% 14.61/9.85 ((~(v130(constB73, bitIndex2) <=> b110(bitIndex2))) | v130(constB73, bitIndex2)),
% 14.61/9.85 inference(unit_resolution,[status(thm)],[11293, 5381])).
% 14.61/9.85 tff(11295,plain,
% 14.61/9.85 (v130(constB73, bitIndex2)),
% 14.61/9.85 inference(unit_resolution,[status(thm)],[11294, 11292])).
% 14.61/9.85 tff(11296,plain,
% 14.61/9.85 ((~(v127(constB73, bitIndex2) <=> v130(constB73, bitIndex2))) | v127(constB73, bitIndex2) | (~v130(constB73, bitIndex2))),
% 14.61/9.85 inference(tautology,[status(thm)],[])).
% 14.61/9.85 tff(11297,plain,
% 14.61/9.85 (v127(constB73, bitIndex2)),
% 14.61/9.85 inference(unit_resolution,[status(thm)],[11296, 11295, 11283])).
% 14.61/9.85 tff(11298,plain,
% 14.61/9.85 ((~(v129(constB74, bitIndex2) <=> v127(constB73, bitIndex2))) | v129(constB74, bitIndex2) | (~v127(constB73, bitIndex2))),
% 14.61/9.85 inference(tautology,[status(thm)],[])).
% 14.61/9.85 tff(11299,plain,
% 14.61/9.85 (v129(constB74, bitIndex2)),
% 14.61/9.85 inference(unit_resolution,[status(thm)],[11298, 11297, 11275])).
% 14.61/9.85 tff(11300,plain,
% 14.61/9.85 ((~(v90(constB74, bitIndex2) <=> v129(constB74, bitIndex2))) | v90(constB74, bitIndex2) | (~v129(constB74, bitIndex2))),
% 14.61/9.85 inference(tautology,[status(thm)],[])).
% 14.61/9.85 tff(11301,plain,
% 14.61/9.85 (v90(constB74, bitIndex2)),
% 14.61/9.85 inference(unit_resolution,[status(thm)],[11300, 11299, 11267])).
% 14.61/9.85 tff(11302,plain,
% 14.61/9.85 ((~(v90(constB75, bitIndex2) <=> v90(constB74, bitIndex2))) | v90(constB75, bitIndex2) | (~v90(constB74, bitIndex2))),
% 14.61/9.85 inference(tautology,[status(thm)],[])).
% 14.61/9.85 tff(11303,plain,
% 14.61/9.85 (v90(constB75, bitIndex2)),
% 14.61/9.85 inference(unit_resolution,[status(thm)],[11302, 11301, 1568])).
% 14.61/9.85 tff(11304,plain,
% 14.61/9.85 (((~![B: $i] : ((~less_3(B)) | (v90(constB75, B) <=> v90(constB74, B)))) | ((~less_3(bitIndex0)) | (v90(constB75, bitIndex0) <=> v90(constB74, bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v90(constB75, B) <=> v90(constB74, B)))) | (~less_3(bitIndex0)) | (v90(constB75, bitIndex0) <=> v90(constB74, bitIndex0)))),
% 14.61/9.85 inference(rewrite,[status(thm)],[])).
% 14.61/9.85 tff(11305,plain,
% 14.61/9.85 ((~![B: $i] : ((~less_3(B)) | (v90(constB75, B) <=> v90(constB74, B)))) | ((~less_3(bitIndex0)) | (v90(constB75, bitIndex0) <=> v90(constB74, bitIndex0)))),
% 14.61/9.85 inference(quant_inst,[status(thm)],[])).
% 14.61/9.85 tff(11306,plain,
% 14.61/9.85 ((~![B: $i] : ((~less_3(B)) | (v90(constB75, B) <=> v90(constB74, B)))) | (~less_3(bitIndex0)) | (v90(constB75, bitIndex0) <=> v90(constB74, bitIndex0))),
% 14.61/9.85 inference(modus_ponens,[status(thm)],[11305, 11304])).
% 14.61/9.85 tff(11307,plain,
% 14.61/9.85 (v90(constB75, bitIndex0) <=> v90(constB74, bitIndex0)),
% 14.61/9.85 inference(unit_resolution,[status(thm)],[11306, 5004, 1564])).
% 14.61/9.85 tff(11308,plain,
% 14.61/9.85 (((~![B: $i] : ((~less_3(B)) | (v90(constB74, B) <=> v129(constB74, B)))) | ((~less_3(bitIndex0)) | (v90(constB74, bitIndex0) <=> v129(constB74, bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v90(constB74, B) <=> v129(constB74, B)))) | (~less_3(bitIndex0)) | (v90(constB74, bitIndex0) <=> v129(constB74, bitIndex0)))),
% 14.61/9.85 inference(rewrite,[status(thm)],[])).
% 14.61/9.85 tff(11309,plain,
% 14.61/9.85 ((~![B: $i] : ((~less_3(B)) | (v90(constB74, B) <=> v129(constB74, B)))) | ((~less_3(bitIndex0)) | (v90(constB74, bitIndex0) <=> v129(constB74, bitIndex0)))),
% 14.61/9.85 inference(quant_inst,[status(thm)],[])).
% 14.61/9.85 tff(11310,plain,
% 14.61/9.85 ((~![B: $i] : ((~less_3(B)) | (v90(constB74, B) <=> v129(constB74, B)))) | (~less_3(bitIndex0)) | (v90(constB74, bitIndex0) <=> v129(constB74, bitIndex0))),
% 14.61/9.85 inference(modus_ponens,[status(thm)],[11309, 11308])).
% 14.61/9.85 tff(11311,plain,
% 14.61/9.85 (v90(constB74, bitIndex0) <=> v129(constB74, bitIndex0)),
% 14.61/9.85 inference(unit_resolution,[status(thm)],[11310, 5004, 11263])).
% 14.61/9.85 tff(11312,plain,
% 14.61/9.85 (((~![B: $i] : ((~less_3(B)) | (v129(constB74, B) <=> v127(constB73, B)))) | ((~less_3(bitIndex0)) | (v129(constB74, bitIndex0) <=> v127(constB73, bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v129(constB74, B) <=> v127(constB73, B)))) | (~less_3(bitIndex0)) | (v129(constB74, bitIndex0) <=> v127(constB73, bitIndex0)))),
% 14.61/9.85 inference(rewrite,[status(thm)],[])).
% 14.61/9.85 tff(11313,plain,
% 14.61/9.85 ((~![B: $i] : ((~less_3(B)) | (v129(constB74, B) <=> v127(constB73, B)))) | ((~less_3(bitIndex0)) | (v129(constB74, bitIndex0) <=> v127(constB73, bitIndex0)))),
% 14.61/9.85 inference(quant_inst,[status(thm)],[])).
% 14.61/9.85 tff(11314,plain,
% 14.61/9.85 ((~![B: $i] : ((~less_3(B)) | (v129(constB74, B) <=> v127(constB73, B)))) | (~less_3(bitIndex0)) | (v129(constB74, bitIndex0) <=> v127(constB73, bitIndex0))),
% 14.61/9.85 inference(modus_ponens,[status(thm)],[11313, 11312])).
% 14.61/9.85 tff(11315,plain,
% 14.61/9.85 (v129(constB74, bitIndex0) <=> v127(constB73, bitIndex0)),
% 14.61/9.85 inference(unit_resolution,[status(thm)],[11314, 5004, 11271])).
% 14.61/9.85 tff(11316,plain,
% 14.61/9.85 (((~![B: $i] : ((~less_3(B)) | (v127(constB73, B) <=> v130(constB73, B)))) | ((~less_3(bitIndex0)) | (v127(constB73, bitIndex0) <=> v130(constB73, bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v127(constB73, B) <=> v130(constB73, B)))) | (~less_3(bitIndex0)) | (v127(constB73, bitIndex0) <=> v130(constB73, bitIndex0)))),
% 14.61/9.85 inference(rewrite,[status(thm)],[])).
% 14.61/9.85 tff(11317,plain,
% 14.61/9.85 ((~![B: $i] : ((~less_3(B)) | (v127(constB73, B) <=> v130(constB73, B)))) | ((~less_3(bitIndex0)) | (v127(constB73, bitIndex0) <=> v130(constB73, bitIndex0)))),
% 14.61/9.85 inference(quant_inst,[status(thm)],[])).
% 14.61/9.85 tff(11318,plain,
% 14.61/9.85 ((~![B: $i] : ((~less_3(B)) | (v127(constB73, B) <=> v130(constB73, B)))) | (~less_3(bitIndex0)) | (v127(constB73, bitIndex0) <=> v130(constB73, bitIndex0))),
% 14.61/9.85 inference(modus_ponens,[status(thm)],[11317, 11316])).
% 14.61/9.85 tff(11319,plain,
% 14.61/9.85 (v127(constB73, bitIndex0) <=> v130(constB73, bitIndex0)),
% 14.61/9.85 inference(unit_resolution,[status(thm)],[11318, 5004, 11279])).
% 14.61/9.85 tff(11320,plain,
% 14.61/9.85 (((~![B: $i] : ((~less_3(B)) | (v130(constB73, B) <=> b110(B)))) | ((~less_3(bitIndex0)) | (v130(constB73, bitIndex0) <=> b110(bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v130(constB73, B) <=> b110(B)))) | (~less_3(bitIndex0)) | (v130(constB73, bitIndex0) <=> b110(bitIndex0)))),
% 14.61/9.86 inference(rewrite,[status(thm)],[])).
% 14.61/9.86 tff(11321,plain,
% 14.61/9.86 ((~![B: $i] : ((~less_3(B)) | (v130(constB73, B) <=> b110(B)))) | ((~less_3(bitIndex0)) | (v130(constB73, bitIndex0) <=> b110(bitIndex0)))),
% 14.61/9.86 inference(quant_inst,[status(thm)],[])).
% 14.61/9.86 tff(11322,plain,
% 14.61/9.86 ((~![B: $i] : ((~less_3(B)) | (v130(constB73, B) <=> b110(B)))) | (~less_3(bitIndex0)) | (v130(constB73, bitIndex0) <=> b110(bitIndex0))),
% 14.61/9.86 inference(modus_ponens,[status(thm)],[11321, 11320])).
% 14.61/9.86 tff(11323,plain,
% 14.61/9.86 (v130(constB73, bitIndex0) <=> b110(bitIndex0)),
% 14.61/9.86 inference(unit_resolution,[status(thm)],[11322, 5004, 11288])).
% 14.61/9.86 tff(11324,plain,
% 14.61/9.86 ((~(v130(constB73, bitIndex0) <=> b110(bitIndex0))) | (~v130(constB73, bitIndex0)) | b110(bitIndex0)),
% 14.61/9.86 inference(tautology,[status(thm)],[])).
% 14.61/9.86 tff(11325,plain,
% 14.61/9.86 ((~(v130(constB73, bitIndex0) <=> b110(bitIndex0))) | (~v130(constB73, bitIndex0))),
% 14.61/9.86 inference(unit_resolution,[status(thm)],[11324, 5415])).
% 14.61/9.86 tff(11326,plain,
% 14.61/9.86 (~v130(constB73, bitIndex0)),
% 14.61/9.86 inference(unit_resolution,[status(thm)],[11325, 11323])).
% 14.61/9.86 tff(11327,plain,
% 14.61/9.86 ((~(v127(constB73, bitIndex0) <=> v130(constB73, bitIndex0))) | (~v127(constB73, bitIndex0)) | v130(constB73, bitIndex0)),
% 14.61/9.86 inference(tautology,[status(thm)],[])).
% 14.61/9.86 tff(11328,plain,
% 14.61/9.86 (~v127(constB73, bitIndex0)),
% 14.61/9.86 inference(unit_resolution,[status(thm)],[11327, 11326, 11319])).
% 14.61/9.86 tff(11329,plain,
% 14.61/9.86 ((~(v129(constB74, bitIndex0) <=> v127(constB73, bitIndex0))) | (~v129(constB74, bitIndex0)) | v127(constB73, bitIndex0)),
% 14.61/9.86 inference(tautology,[status(thm)],[])).
% 14.61/9.86 tff(11330,plain,
% 14.61/9.86 (~v129(constB74, bitIndex0)),
% 14.61/9.86 inference(unit_resolution,[status(thm)],[11329, 11328, 11315])).
% 14.61/9.86 tff(11331,plain,
% 14.61/9.86 ((~(v90(constB74, bitIndex0) <=> v129(constB74, bitIndex0))) | (~v90(constB74, bitIndex0)) | v129(constB74, bitIndex0)),
% 14.61/9.86 inference(tautology,[status(thm)],[])).
% 14.61/9.86 tff(11332,plain,
% 14.61/9.86 (~v90(constB74, bitIndex0)),
% 14.61/9.86 inference(unit_resolution,[status(thm)],[11331, 11330, 11311])).
% 14.61/9.86 tff(11333,plain,
% 14.61/9.86 ((~(v90(constB75, bitIndex0) <=> v90(constB74, bitIndex0))) | (~v90(constB75, bitIndex0)) | v90(constB74, bitIndex0)),
% 14.61/9.86 inference(tautology,[status(thm)],[])).
% 14.61/9.86 tff(11334,plain,
% 14.61/9.86 (~v90(constB75, bitIndex0)),
% 14.61/9.86 inference(unit_resolution,[status(thm)],[11333, 11332, 11307])).
% 14.61/9.86 tff(11335,plain,
% 14.61/9.86 (((~![B: $i] : ((~less_3(B)) | (v90(constB75, B) <=> v90(constB74, B)))) | ((~less_3(bitIndex1)) | (v90(constB75, bitIndex1) <=> v90(constB74, bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v90(constB75, B) <=> v90(constB74, B)))) | (~less_3(bitIndex1)) | (v90(constB75, bitIndex1) <=> v90(constB74, bitIndex1)))),
% 14.61/9.86 inference(rewrite,[status(thm)],[])).
% 14.61/9.86 tff(11336,plain,
% 14.61/9.86 ((~![B: $i] : ((~less_3(B)) | (v90(constB75, B) <=> v90(constB74, B)))) | ((~less_3(bitIndex1)) | (v90(constB75, bitIndex1) <=> v90(constB74, bitIndex1)))),
% 14.61/9.86 inference(quant_inst,[status(thm)],[])).
% 14.61/9.86 tff(11337,plain,
% 14.61/9.86 ((~![B: $i] : ((~less_3(B)) | (v90(constB75, B) <=> v90(constB74, B)))) | (~less_3(bitIndex1)) | (v90(constB75, bitIndex1) <=> v90(constB74, bitIndex1))),
% 14.61/9.86 inference(modus_ponens,[status(thm)],[11336, 11335])).
% 14.61/9.86 tff(11338,plain,
% 14.61/9.86 (v90(constB75, bitIndex1) <=> v90(constB74, bitIndex1)),
% 14.61/9.86 inference(unit_resolution,[status(thm)],[11337, 5017, 1564])).
% 14.61/9.86 tff(11339,plain,
% 14.61/9.86 (((~![B: $i] : ((~less_3(B)) | (v90(constB74, B) <=> v129(constB74, B)))) | ((~less_3(bitIndex1)) | (v90(constB74, bitIndex1) <=> v129(constB74, bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v90(constB74, B) <=> v129(constB74, B)))) | (~less_3(bitIndex1)) | (v90(constB74, bitIndex1) <=> v129(constB74, bitIndex1)))),
% 14.61/9.86 inference(rewrite,[status(thm)],[])).
% 14.61/9.86 tff(11340,plain,
% 14.61/9.86 ((~![B: $i] : ((~less_3(B)) | (v90(constB74, B) <=> v129(constB74, B)))) | ((~less_3(bitIndex1)) | (v90(constB74, bitIndex1) <=> v129(constB74, bitIndex1)))),
% 14.61/9.86 inference(quant_inst,[status(thm)],[])).
% 14.61/9.86 tff(11341,plain,
% 14.61/9.86 ((~![B: $i] : ((~less_3(B)) | (v90(constB74, B) <=> v129(constB74, B)))) | (~less_3(bitIndex1)) | (v90(constB74, bitIndex1) <=> v129(constB74, bitIndex1))),
% 14.61/9.86 inference(modus_ponens,[status(thm)],[11340, 11339])).
% 14.61/9.86 tff(11342,plain,
% 14.61/9.86 (v90(constB74, bitIndex1) <=> v129(constB74, bitIndex1)),
% 14.61/9.86 inference(unit_resolution,[status(thm)],[11341, 5017, 11263])).
% 14.61/9.86 tff(11343,plain,
% 14.61/9.86 (((~![B: $i] : ((~less_3(B)) | (v129(constB74, B) <=> v127(constB73, B)))) | ((~less_3(bitIndex1)) | (v129(constB74, bitIndex1) <=> v127(constB73, bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v129(constB74, B) <=> v127(constB73, B)))) | (~less_3(bitIndex1)) | (v129(constB74, bitIndex1) <=> v127(constB73, bitIndex1)))),
% 14.61/9.86 inference(rewrite,[status(thm)],[])).
% 14.61/9.86 tff(11344,plain,
% 14.61/9.86 ((~![B: $i] : ((~less_3(B)) | (v129(constB74, B) <=> v127(constB73, B)))) | ((~less_3(bitIndex1)) | (v129(constB74, bitIndex1) <=> v127(constB73, bitIndex1)))),
% 14.61/9.86 inference(quant_inst,[status(thm)],[])).
% 14.61/9.86 tff(11345,plain,
% 14.61/9.86 ((~![B: $i] : ((~less_3(B)) | (v129(constB74, B) <=> v127(constB73, B)))) | (~less_3(bitIndex1)) | (v129(constB74, bitIndex1) <=> v127(constB73, bitIndex1))),
% 14.61/9.86 inference(modus_ponens,[status(thm)],[11344, 11343])).
% 14.61/9.86 tff(11346,plain,
% 14.61/9.86 (v129(constB74, bitIndex1) <=> v127(constB73, bitIndex1)),
% 14.61/9.86 inference(unit_resolution,[status(thm)],[11345, 5017, 11271])).
% 14.61/9.86 tff(11347,plain,
% 14.61/9.86 (((~![B: $i] : ((~less_3(B)) | (v127(constB73, B) <=> v130(constB73, B)))) | ((~less_3(bitIndex1)) | (v127(constB73, bitIndex1) <=> v130(constB73, bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v127(constB73, B) <=> v130(constB73, B)))) | (~less_3(bitIndex1)) | (v127(constB73, bitIndex1) <=> v130(constB73, bitIndex1)))),
% 14.61/9.86 inference(rewrite,[status(thm)],[])).
% 14.61/9.86 tff(11348,plain,
% 14.61/9.86 ((~![B: $i] : ((~less_3(B)) | (v127(constB73, B) <=> v130(constB73, B)))) | ((~less_3(bitIndex1)) | (v127(constB73, bitIndex1) <=> v130(constB73, bitIndex1)))),
% 14.61/9.86 inference(quant_inst,[status(thm)],[])).
% 14.61/9.86 tff(11349,plain,
% 14.61/9.86 ((~![B: $i] : ((~less_3(B)) | (v127(constB73, B) <=> v130(constB73, B)))) | (~less_3(bitIndex1)) | (v127(constB73, bitIndex1) <=> v130(constB73, bitIndex1))),
% 14.61/9.86 inference(modus_ponens,[status(thm)],[11348, 11347])).
% 14.61/9.86 tff(11350,plain,
% 14.61/9.86 (v127(constB73, bitIndex1) <=> v130(constB73, bitIndex1)),
% 14.61/9.86 inference(unit_resolution,[status(thm)],[11349, 5017, 11279])).
% 14.61/9.86 tff(11351,plain,
% 14.61/9.86 (((~![B: $i] : ((~less_3(B)) | (v130(constB73, B) <=> b110(B)))) | ((~less_3(bitIndex1)) | (v130(constB73, bitIndex1) <=> b110(bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v130(constB73, B) <=> b110(B)))) | (~less_3(bitIndex1)) | (v130(constB73, bitIndex1) <=> b110(bitIndex1)))),
% 14.61/9.86 inference(rewrite,[status(thm)],[])).
% 14.61/9.86 tff(11352,plain,
% 14.61/9.86 ((~![B: $i] : ((~less_3(B)) | (v130(constB73, B) <=> b110(B)))) | ((~less_3(bitIndex1)) | (v130(constB73, bitIndex1) <=> b110(bitIndex1)))),
% 14.61/9.86 inference(quant_inst,[status(thm)],[])).
% 14.61/9.86 tff(11353,plain,
% 14.61/9.86 ((~![B: $i] : ((~less_3(B)) | (v130(constB73, B) <=> b110(B)))) | (~less_3(bitIndex1)) | (v130(constB73, bitIndex1) <=> b110(bitIndex1))),
% 14.61/9.86 inference(modus_ponens,[status(thm)],[11352, 11351])).
% 14.61/9.86 tff(11354,plain,
% 14.61/9.86 (v130(constB73, bitIndex1) <=> b110(bitIndex1)),
% 14.61/9.86 inference(unit_resolution,[status(thm)],[11353, 5017, 11288])).
% 14.61/9.86 tff(11355,plain,
% 14.61/9.86 ((~(v130(constB73, bitIndex1) <=> b110(bitIndex1))) | v130(constB73, bitIndex1) | (~b110(bitIndex1))),
% 14.61/9.86 inference(tautology,[status(thm)],[])).
% 14.61/9.86 tff(11356,plain,
% 14.61/9.86 ((~(v130(constB73, bitIndex1) <=> b110(bitIndex1))) | v130(constB73, bitIndex1)),
% 14.61/9.86 inference(unit_resolution,[status(thm)],[11355, 5449])).
% 14.61/9.86 tff(11357,plain,
% 14.61/9.86 (v130(constB73, bitIndex1)),
% 14.61/9.86 inference(unit_resolution,[status(thm)],[11356, 11354])).
% 14.61/9.86 tff(11358,plain,
% 14.61/9.86 ((~(v127(constB73, bitIndex1) <=> v130(constB73, bitIndex1))) | v127(constB73, bitIndex1) | (~v130(constB73, bitIndex1))),
% 14.61/9.86 inference(tautology,[status(thm)],[])).
% 14.61/9.86 tff(11359,plain,
% 14.61/9.86 (v127(constB73, bitIndex1)),
% 14.61/9.86 inference(unit_resolution,[status(thm)],[11358, 11357, 11350])).
% 14.61/9.86 tff(11360,plain,
% 14.61/9.86 ((~(v129(constB74, bitIndex1) <=> v127(constB73, bitIndex1))) | v129(constB74, bitIndex1) | (~v127(constB73, bitIndex1))),
% 14.61/9.86 inference(tautology,[status(thm)],[])).
% 14.61/9.86 tff(11361,plain,
% 14.61/9.86 (v129(constB74, bitIndex1)),
% 14.61/9.86 inference(unit_resolution,[status(thm)],[11360, 11359, 11346])).
% 14.61/9.86 tff(11362,plain,
% 14.61/9.86 ((~(v90(constB74, bitIndex1) <=> v129(constB74, bitIndex1))) | v90(constB74, bitIndex1) | (~v129(constB74, bitIndex1))),
% 14.61/9.86 inference(tautology,[status(thm)],[])).
% 14.61/9.86 tff(11363,plain,
% 14.61/9.86 (v90(constB74, bitIndex1)),
% 14.61/9.86 inference(unit_resolution,[status(thm)],[11362, 11361, 11342])).
% 14.61/9.86 tff(11364,plain,
% 14.61/9.86 ((~(v90(constB75, bitIndex1) <=> v90(constB74, bitIndex1))) | v90(constB75, bitIndex1) | (~v90(constB74, bitIndex1))),
% 14.61/9.86 inference(tautology,[status(thm)],[])).
% 14.61/9.86 tff(11365,plain,
% 14.61/9.86 (v90(constB75, bitIndex1)),
% 14.61/9.86 inference(unit_resolution,[status(thm)],[11364, 11363, 11338])).
% 14.61/9.86 tff(11366,plain,
% 14.61/9.86 ((~((~v90(constB75, bitIndex2)) | (~v90(constB75, bitIndex1)) | v90(constB75, bitIndex0))) | (~v90(constB75, bitIndex2)) | (~v90(constB75, bitIndex1)) | v90(constB75, bitIndex0)),
% 14.61/9.86 inference(tautology,[status(thm)],[])).
% 14.61/9.86 tff(11367,plain,
% 14.61/9.86 (~((~v90(constB75, bitIndex2)) | (~v90(constB75, bitIndex1)) | v90(constB75, bitIndex0))),
% 14.61/9.86 inference(unit_resolution,[status(thm)],[11366, 11365, 11334, 11303])).
% 14.61/9.86 tff(11368,plain,
% 14.61/9.86 ((~(v125(constB75) <=> (~((~v90(constB75, bitIndex2)) | (~v90(constB75, bitIndex1)) | v90(constB75, bitIndex0))))) | v125(constB75) | ((~v90(constB75, bitIndex2)) | (~v90(constB75, bitIndex1)) | v90(constB75, bitIndex0))),
% 14.61/9.86 inference(tautology,[status(thm)],[])).
% 14.61/9.86 tff(11369,plain,
% 14.61/9.86 (v125(constB75)),
% 14.61/9.86 inference(unit_resolution,[status(thm)],[11368, 11367, 1536])).
% 14.61/9.86 tff(11370,plain,
% 14.61/9.86 ((v114(constB75) | v125(constB75)) | (~v125(constB75))),
% 14.61/9.86 inference(tautology,[status(thm)],[])).
% 14.61/9.86 tff(11371,plain,
% 14.61/9.86 (v114(constB75) | v125(constB75)),
% 14.61/9.86 inference(unit_resolution,[status(thm)],[11370, 11369])).
% 14.61/9.86 tff(11372,plain,
% 14.61/9.86 ((~(v113(constB75) <=> (v114(constB75) | v125(constB75)))) | v113(constB75) | (~(v114(constB75) | v125(constB75)))),
% 14.61/9.86 inference(tautology,[status(thm)],[])).
% 14.61/9.86 tff(11373,plain,
% 14.61/9.86 (v113(constB75)),
% 14.61/9.86 inference(unit_resolution,[status(thm)],[11372, 11371, 1529])).
% 14.61/9.86 tff(11374,plain,
% 14.61/9.86 ((~![VarCurr: $i] : ((~v126(VarCurr)) <=> v111(VarCurr))) | ((~v126(constB75)) <=> v111(constB75))),
% 14.61/9.86 inference(quant_inst,[status(thm)],[])).
% 14.61/9.86 tff(11375,plain,
% 14.61/9.86 ((~v126(constB75)) <=> v111(constB75)),
% 14.61/9.86 inference(unit_resolution,[status(thm)],[11374, 5074])).
% 14.61/9.86 tff(11376,plain,
% 14.61/9.86 ((~![VarCurr: $i] : (v111(VarCurr) <=> v26(VarCurr))) | (v111(constB75) <=> v26(constB75))),
% 14.61/9.86 inference(quant_inst,[status(thm)],[])).
% 14.61/9.86 tff(11377,plain,
% 14.61/9.86 (v111(constB75) <=> v26(constB75)),
% 14.61/9.86 inference(unit_resolution,[status(thm)],[11376, 5086])).
% 14.61/9.86 tff(11378,plain,
% 14.61/9.86 ((~![VarCurr: $i] : (~v26(VarCurr))) | (~v26(constB75))),
% 14.61/9.86 inference(quant_inst,[status(thm)],[])).
% 14.61/9.86 tff(11379,plain,
% 14.61/9.86 (~v26(constB75)),
% 14.61/9.86 inference(unit_resolution,[status(thm)],[11378, 5098])).
% 14.61/9.86 tff(11380,plain,
% 14.61/9.86 ((~(v111(constB75) <=> v26(constB75))) | (~v111(constB75)) | v26(constB75)),
% 14.61/9.86 inference(tautology,[status(thm)],[])).
% 14.61/9.86 tff(11381,plain,
% 14.61/9.86 ((~(v111(constB75) <=> v26(constB75))) | (~v111(constB75))),
% 14.61/9.86 inference(unit_resolution,[status(thm)],[11380, 11379])).
% 14.61/9.86 tff(11382,plain,
% 14.61/9.86 (~v111(constB75)),
% 14.61/9.86 inference(unit_resolution,[status(thm)],[11381, 11377])).
% 14.61/9.86 tff(11383,plain,
% 14.61/9.86 ((~((~v126(constB75)) <=> v111(constB75))) | v126(constB75) | v111(constB75)),
% 14.61/9.86 inference(tautology,[status(thm)],[])).
% 14.61/9.86 tff(11384,plain,
% 14.61/9.86 ((~((~v126(constB75)) <=> v111(constB75))) | v126(constB75)),
% 14.61/9.86 inference(unit_resolution,[status(thm)],[11383, 11382])).
% 14.61/9.86 tff(11385,plain,
% 14.61/9.86 (v126(constB75)),
% 14.61/9.86 inference(unit_resolution,[status(thm)],[11384, 11375])).
% 14.61/9.86 tff(11386,plain,
% 14.61/9.86 ((~((~v113(constB75)) | (~v126(constB75)))) | (~v113(constB75)) | (~v126(constB75))),
% 14.61/9.86 inference(tautology,[status(thm)],[])).
% 14.61/9.86 tff(11387,plain,
% 14.61/9.86 ((~((~v113(constB75)) | (~v126(constB75)))) | (~v113(constB75))),
% 14.61/9.86 inference(unit_resolution,[status(thm)],[11386, 11385])).
% 14.61/9.86 tff(11388,plain,
% 14.61/9.86 (~((~v113(constB75)) | (~v126(constB75)))),
% 14.61/9.86 inference(unit_resolution,[status(thm)],[11387, 11373])).
% 14.61/9.86 tff(11389,plain,
% 14.61/9.86 ((~(v112(constB75) <=> (~((~v113(constB75)) | (~v126(constB75)))))) | v112(constB75) | ((~v113(constB75)) | (~v126(constB75)))),
% 14.61/9.86 inference(tautology,[status(thm)],[])).
% 14.61/9.86 tff(11390,plain,
% 14.61/9.86 (v112(constB75)),
% 14.61/9.86 inference(unit_resolution,[status(thm)],[11389, 11388, 1527])).
% 14.61/9.86 tff(11391,plain,
% 14.61/9.86 ((v111(constB75) | v112(constB75)) | (~v112(constB75))),
% 14.61/9.86 inference(tautology,[status(thm)],[])).
% 14.61/9.86 tff(11392,plain,
% 14.61/9.86 (v111(constB75) | v112(constB75)),
% 14.61/9.86 inference(unit_resolution,[status(thm)],[11391, 11390])).
% 14.61/9.86 tff(11393,plain,
% 14.61/9.86 ((~(v108(constB75) <=> (v111(constB75) | v112(constB75)))) | v108(constB75) | (~(v111(constB75) | v112(constB75)))),
% 14.61/9.86 inference(tautology,[status(thm)],[])).
% 14.61/9.86 tff(11394,plain,
% 14.61/9.86 (v108(constB75)),
% 14.61/9.86 inference(unit_resolution,[status(thm)],[11393, 11392, 1525])).
% 14.61/9.86 tff(11395,plain,
% 14.61/9.86 ((~(v110(constB76) <=> v108(constB75))) | v110(constB76) | (~v108(constB75))),
% 14.61/9.86 inference(tautology,[status(thm)],[])).
% 14.61/9.86 tff(11396,plain,
% 14.61/9.86 (v110(constB76)),
% 14.61/9.86 inference(unit_resolution,[status(thm)],[11395, 11394, 1523])).
% 14.61/9.86 tff(11397,plain,
% 14.61/9.86 ((~((~v101(constB76)) | (~v110(constB76)))) | (~v101(constB76)) | (~v110(constB76))),
% 14.61/9.86 inference(tautology,[status(thm)],[])).
% 14.61/9.86 tff(11398,plain,
% 14.61/9.86 (~((~v101(constB76)) | (~v110(constB76)))),
% 14.61/9.86 inference(unit_resolution,[status(thm)],[11397, 11396, 1519])).
% 14.61/9.86 tff(11399,plain,
% 14.61/9.86 ((~(v100(constB76) <=> (~((~v101(constB76)) | (~v110(constB76)))))) | v100(constB76) | ((~v101(constB76)) | (~v110(constB76)))),
% 14.61/9.86 inference(tautology,[status(thm)],[])).
% 14.61/9.86 tff(11400,plain,
% 14.61/9.86 (v100(constB76)),
% 14.61/9.86 inference(unit_resolution,[status(thm)],[11399, 11398, 1488])).
% 14.61/9.86 tff(11401,plain,
% 14.61/9.86 (((~![VarNext: $i] : ((~v100(VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v129(VarNext, B))))) | ((~v100(constB76)) | ![B: $i] : ((~less_3(B)) | (v90(constB76, B) <=> v129(constB76, B))))) <=> ((~![VarNext: $i] : ((~v100(VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v129(VarNext, B))))) | (~v100(constB76)) | ![B: $i] : ((~less_3(B)) | (v90(constB76, B) <=> v129(constB76, B))))),
% 14.61/9.86 inference(rewrite,[status(thm)],[])).
% 14.61/9.86 tff(11402,plain,
% 14.61/9.86 ((~![VarNext: $i] : ((~v100(VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v129(VarNext, B))))) | ((~v100(constB76)) | ![B: $i] : ((~less_3(B)) | (v90(constB76, B) <=> v129(constB76, B))))),
% 14.61/9.86 inference(quant_inst,[status(thm)],[])).
% 14.61/9.86 tff(11403,plain,
% 14.61/9.86 ((~![VarNext: $i] : ((~v100(VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v129(VarNext, B))))) | (~v100(constB76)) | ![B: $i] : ((~less_3(B)) | (v90(constB76, B) <=> v129(constB76, B)))),
% 14.61/9.86 inference(modus_ponens,[status(thm)],[11402, 11401])).
% 14.61/9.86 tff(11404,plain,
% 14.61/9.86 ((~v100(constB76)) | ![B: $i] : ((~less_3(B)) | (v90(constB76, B) <=> v129(constB76, B)))),
% 14.61/9.86 inference(unit_resolution,[status(thm)],[11403, 5134])).
% 14.61/9.86 tff(11405,plain,
% 14.61/9.86 (![B: $i] : ((~less_3(B)) | (v90(constB76, B) <=> v129(constB76, B)))),
% 14.61/9.86 inference(unit_resolution,[status(thm)],[11404, 11400])).
% 14.61/9.86 tff(11406,plain,
% 14.61/9.86 (((~![B: $i] : ((~less_3(B)) | (v90(constB76, B) <=> v129(constB76, B)))) | ((~less_3(bitIndex2)) | (v90(constB76, bitIndex2) <=> v129(constB76, bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v90(constB76, B) <=> v129(constB76, B)))) | (~less_3(bitIndex2)) | (v90(constB76, bitIndex2) <=> v129(constB76, bitIndex2)))),
% 14.61/9.86 inference(rewrite,[status(thm)],[])).
% 14.61/9.86 tff(11407,plain,
% 14.61/9.86 ((~![B: $i] : ((~less_3(B)) | (v90(constB76, B) <=> v129(constB76, B)))) | ((~less_3(bitIndex2)) | (v90(constB76, bitIndex2) <=> v129(constB76, bitIndex2)))),
% 14.61/9.86 inference(quant_inst,[status(thm)],[])).
% 14.61/9.86 tff(11408,plain,
% 14.61/9.86 ((~![B: $i] : ((~less_3(B)) | (v90(constB76, B) <=> v129(constB76, B)))) | (~less_3(bitIndex2)) | (v90(constB76, bitIndex2) <=> v129(constB76, bitIndex2))),
% 14.61/9.86 inference(modus_ponens,[status(thm)],[11407, 11406])).
% 14.61/9.86 tff(11409,plain,
% 14.61/9.86 (v90(constB76, bitIndex2) <=> v129(constB76, bitIndex2)),
% 14.61/9.87 inference(unit_resolution,[status(thm)],[11408, 413, 11405])).
% 14.61/9.87 tff(11410,plain,
% 14.61/9.87 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v129(VarNext, B) <=> v127(VarCurr, B))))) | ((~nextState(constB75, constB76)) | ![B: $i] : ((~less_3(B)) | (v129(constB76, B) <=> v127(constB75, B))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v129(VarNext, B) <=> v127(VarCurr, B))))) | (~nextState(constB75, constB76)) | ![B: $i] : ((~less_3(B)) | (v129(constB76, B) <=> v127(constB75, B))))),
% 14.61/9.87 inference(rewrite,[status(thm)],[])).
% 14.61/9.87 tff(11411,plain,
% 14.61/9.87 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v129(VarNext, B) <=> v127(VarCurr, B))))) | ((~nextState(constB75, constB76)) | ![B: $i] : ((~less_3(B)) | (v129(constB76, B) <=> v127(constB75, B))))),
% 14.61/9.87 inference(quant_inst,[status(thm)],[])).
% 14.61/9.87 tff(11412,plain,
% 14.61/9.87 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v129(VarNext, B) <=> v127(VarCurr, B))))) | (~nextState(constB75, constB76)) | ![B: $i] : ((~less_3(B)) | (v129(constB76, B) <=> v127(constB75, B)))),
% 14.61/9.87 inference(modus_ponens,[status(thm)],[11411, 11410])).
% 14.61/9.87 tff(11413,plain,
% 14.61/9.87 (![B: $i] : ((~less_3(B)) | (v129(constB76, B) <=> v127(constB75, B)))),
% 14.61/9.87 inference(unit_resolution,[status(thm)],[11412, 1484, 5156])).
% 14.61/9.87 tff(11414,plain,
% 14.61/9.87 (((~![B: $i] : ((~less_3(B)) | (v129(constB76, B) <=> v127(constB75, B)))) | ((~less_3(bitIndex2)) | (v129(constB76, bitIndex2) <=> v127(constB75, bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v129(constB76, B) <=> v127(constB75, B)))) | (~less_3(bitIndex2)) | (v129(constB76, bitIndex2) <=> v127(constB75, bitIndex2)))),
% 14.61/9.87 inference(rewrite,[status(thm)],[])).
% 14.61/9.87 tff(11415,plain,
% 14.61/9.87 ((~![B: $i] : ((~less_3(B)) | (v129(constB76, B) <=> v127(constB75, B)))) | ((~less_3(bitIndex2)) | (v129(constB76, bitIndex2) <=> v127(constB75, bitIndex2)))),
% 14.61/9.87 inference(quant_inst,[status(thm)],[])).
% 14.61/9.87 tff(11416,plain,
% 14.61/9.87 ((~![B: $i] : ((~less_3(B)) | (v129(constB76, B) <=> v127(constB75, B)))) | (~less_3(bitIndex2)) | (v129(constB76, bitIndex2) <=> v127(constB75, bitIndex2))),
% 14.61/9.87 inference(modus_ponens,[status(thm)],[11415, 11414])).
% 14.61/9.87 tff(11417,plain,
% 14.61/9.87 (v129(constB76, bitIndex2) <=> v127(constB75, bitIndex2)),
% 14.61/9.87 inference(unit_resolution,[status(thm)],[11416, 413, 11413])).
% 14.61/9.87 tff(11418,plain,
% 14.61/9.87 (((~![VarCurr: $i] : (v111(VarCurr) | ![B: $i] : ((~less_3(B)) | (v127(VarCurr, B) <=> v130(VarCurr, B))))) | (v111(constB75) | ![B: $i] : ((~less_3(B)) | (v127(constB75, B) <=> v130(constB75, B))))) <=> ((~![VarCurr: $i] : (v111(VarCurr) | ![B: $i] : ((~less_3(B)) | (v127(VarCurr, B) <=> v130(VarCurr, B))))) | v111(constB75) | ![B: $i] : ((~less_3(B)) | (v127(constB75, B) <=> v130(constB75, B))))),
% 14.61/9.87 inference(rewrite,[status(thm)],[])).
% 14.61/9.87 tff(11419,plain,
% 14.61/9.87 ((~![VarCurr: $i] : (v111(VarCurr) | ![B: $i] : ((~less_3(B)) | (v127(VarCurr, B) <=> v130(VarCurr, B))))) | (v111(constB75) | ![B: $i] : ((~less_3(B)) | (v127(constB75, B) <=> v130(constB75, B))))),
% 14.61/9.87 inference(quant_inst,[status(thm)],[])).
% 14.61/9.87 tff(11420,plain,
% 14.61/9.87 ((~![VarCurr: $i] : (v111(VarCurr) | ![B: $i] : ((~less_3(B)) | (v127(VarCurr, B) <=> v130(VarCurr, B))))) | v111(constB75) | ![B: $i] : ((~less_3(B)) | (v127(constB75, B) <=> v130(constB75, B)))),
% 14.61/9.87 inference(modus_ponens,[status(thm)],[11419, 11418])).
% 14.61/9.87 tff(11421,plain,
% 14.61/9.87 (![B: $i] : ((~less_3(B)) | (v127(constB75, B) <=> v130(constB75, B)))),
% 14.61/9.87 inference(unit_resolution,[status(thm)],[11420, 5177, 11382])).
% 14.61/9.87 tff(11422,plain,
% 14.61/9.87 (((~![B: $i] : ((~less_3(B)) | (v127(constB75, B) <=> v130(constB75, B)))) | ((~less_3(bitIndex2)) | (v127(constB75, bitIndex2) <=> v130(constB75, bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v127(constB75, B) <=> v130(constB75, B)))) | (~less_3(bitIndex2)) | (v127(constB75, bitIndex2) <=> v130(constB75, bitIndex2)))),
% 14.61/9.87 inference(rewrite,[status(thm)],[])).
% 14.61/9.87 tff(11423,plain,
% 14.61/9.87 ((~![B: $i] : ((~less_3(B)) | (v127(constB75, B) <=> v130(constB75, B)))) | ((~less_3(bitIndex2)) | (v127(constB75, bitIndex2) <=> v130(constB75, bitIndex2)))),
% 14.61/9.87 inference(quant_inst,[status(thm)],[])).
% 14.61/9.87 tff(11424,plain,
% 14.61/9.87 ((~![B: $i] : ((~less_3(B)) | (v127(constB75, B) <=> v130(constB75, B)))) | (~less_3(bitIndex2)) | (v127(constB75, bitIndex2) <=> v130(constB75, bitIndex2))),
% 14.61/9.87 inference(modus_ponens,[status(thm)],[11423, 11422])).
% 14.61/9.87 tff(11425,plain,
% 14.61/9.87 (v127(constB75, bitIndex2) <=> v130(constB75, bitIndex2)),
% 14.61/9.87 inference(unit_resolution,[status(thm)],[11424, 413, 11421])).
% 14.61/9.87 tff(11426,plain,
% 14.61/9.87 ((~![VarCurr: $i] : (v119(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))))) | (v119(constB75) <=> (~(v90(constB75, bitIndex0) | v90(constB75, bitIndex1) | v90(constB75, bitIndex2))))),
% 14.61/9.87 inference(quant_inst,[status(thm)],[])).
% 14.61/9.87 tff(11427,plain,
% 14.61/9.87 (v119(constB75) <=> (~(v90(constB75, bitIndex0) | v90(constB75, bitIndex1) | v90(constB75, bitIndex2)))),
% 14.61/9.87 inference(unit_resolution,[status(thm)],[11426, 4971])).
% 14.61/9.87 tff(11428,plain,
% 14.61/9.87 ((v90(constB75, bitIndex0) | v90(constB75, bitIndex1) | v90(constB75, bitIndex2)) | (~v90(constB75, bitIndex2))),
% 14.61/9.87 inference(tautology,[status(thm)],[])).
% 14.61/9.87 tff(11429,plain,
% 14.61/9.87 (v90(constB75, bitIndex0) | v90(constB75, bitIndex1) | v90(constB75, bitIndex2)),
% 14.61/9.87 inference(unit_resolution,[status(thm)],[11428, 11303])).
% 14.61/9.87 tff(11430,plain,
% 14.61/9.87 ((~(v119(constB75) <=> (~(v90(constB75, bitIndex0) | v90(constB75, bitIndex1) | v90(constB75, bitIndex2))))) | (~v119(constB75)) | (~(v90(constB75, bitIndex0) | v90(constB75, bitIndex1) | v90(constB75, bitIndex2)))),
% 14.61/9.87 inference(tautology,[status(thm)],[])).
% 14.61/9.87 tff(11431,plain,
% 14.61/9.87 (~v119(constB75)),
% 14.61/9.87 inference(unit_resolution,[status(thm)],[11430, 11429, 11427])).
% 14.61/9.87 tff(11432,plain,
% 14.61/9.87 (((~![VarCurr: $i] : (v124(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex2)))))) | (v124(constB75) <=> (~((~v90(constB75, bitIndex2)) | v90(constB75, bitIndex1) | (~v90(constB75, bitIndex0)))))) <=> ((~![VarCurr: $i] : (v124(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex2)))))) | (v124(constB75) <=> (~((~v90(constB75, bitIndex2)) | v90(constB75, bitIndex1) | (~v90(constB75, bitIndex0))))))),
% 14.61/9.87 inference(rewrite,[status(thm)],[])).
% 14.61/9.87 tff(11433,plain,
% 14.61/9.87 ((v124(constB75) <=> (~(v90(constB75, bitIndex1) | (~v90(constB75, bitIndex0)) | (~v90(constB75, bitIndex2))))) <=> (v124(constB75) <=> (~((~v90(constB75, bitIndex2)) | v90(constB75, bitIndex1) | (~v90(constB75, bitIndex0)))))),
% 14.61/9.87 inference(rewrite,[status(thm)],[])).
% 14.61/9.87 tff(11434,plain,
% 14.61/9.87 (((~![VarCurr: $i] : (v124(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex2)))))) | (v124(constB75) <=> (~(v90(constB75, bitIndex1) | (~v90(constB75, bitIndex0)) | (~v90(constB75, bitIndex2)))))) <=> ((~![VarCurr: $i] : (v124(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex2)))))) | (v124(constB75) <=> (~((~v90(constB75, bitIndex2)) | v90(constB75, bitIndex1) | (~v90(constB75, bitIndex0))))))),
% 14.61/9.87 inference(monotonicity,[status(thm)],[11433])).
% 14.61/9.87 tff(11435,plain,
% 14.61/9.87 (((~![VarCurr: $i] : (v124(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex2)))))) | (v124(constB75) <=> (~(v90(constB75, bitIndex1) | (~v90(constB75, bitIndex0)) | (~v90(constB75, bitIndex2)))))) <=> ((~![VarCurr: $i] : (v124(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex2)))))) | (v124(constB75) <=> (~((~v90(constB75, bitIndex2)) | v90(constB75, bitIndex1) | (~v90(constB75, bitIndex0))))))),
% 14.61/9.87 inference(transitivity,[status(thm)],[11434, 11432])).
% 14.61/9.87 tff(11436,plain,
% 14.61/9.87 ((~![VarCurr: $i] : (v124(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex2)))))) | (v124(constB75) <=> (~(v90(constB75, bitIndex1) | (~v90(constB75, bitIndex0)) | (~v90(constB75, bitIndex2)))))),
% 14.61/9.87 inference(quant_inst,[status(thm)],[])).
% 14.61/9.87 tff(11437,plain,
% 14.61/9.87 ((~![VarCurr: $i] : (v124(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex2)))))) | (v124(constB75) <=> (~((~v90(constB75, bitIndex2)) | v90(constB75, bitIndex1) | (~v90(constB75, bitIndex0)))))),
% 14.61/9.87 inference(modus_ponens,[status(thm)],[11436, 11435])).
% 14.61/9.87 tff(11438,plain,
% 14.61/9.87 (v124(constB75) <=> (~((~v90(constB75, bitIndex2)) | v90(constB75, bitIndex1) | (~v90(constB75, bitIndex0))))),
% 14.61/9.87 inference(unit_resolution,[status(thm)],[11437, 5539])).
% 14.61/9.87 tff(11439,plain,
% 14.61/9.87 (((~v90(constB75, bitIndex2)) | v90(constB75, bitIndex1) | (~v90(constB75, bitIndex0))) | (~v90(constB75, bitIndex1))),
% 14.61/9.87 inference(tautology,[status(thm)],[])).
% 14.61/9.87 tff(11440,plain,
% 14.61/9.87 ((~v90(constB75, bitIndex2)) | v90(constB75, bitIndex1) | (~v90(constB75, bitIndex0))),
% 14.61/9.87 inference(unit_resolution,[status(thm)],[11439, 11365])).
% 14.61/9.87 tff(11441,plain,
% 14.61/9.87 ((~(v124(constB75) <=> (~((~v90(constB75, bitIndex2)) | v90(constB75, bitIndex1) | (~v90(constB75, bitIndex0)))))) | (~v124(constB75)) | (~((~v90(constB75, bitIndex2)) | v90(constB75, bitIndex1) | (~v90(constB75, bitIndex0))))),
% 14.61/9.87 inference(tautology,[status(thm)],[])).
% 14.61/9.87 tff(11442,plain,
% 14.61/9.87 (~v124(constB75)),
% 14.61/9.87 inference(unit_resolution,[status(thm)],[11441, 11440, 11438])).
% 14.61/9.87 tff(11443,plain,
% 14.61/9.87 (((~![VarCurr: $i] : (v123(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)))))) | (v123(constB75) <=> (~((~v90(constB75, bitIndex2)) | v90(constB75, bitIndex1) | v90(constB75, bitIndex0))))) <=> ((~![VarCurr: $i] : (v123(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)))))) | (v123(constB75) <=> (~((~v90(constB75, bitIndex2)) | v90(constB75, bitIndex1) | v90(constB75, bitIndex0)))))),
% 14.61/9.87 inference(rewrite,[status(thm)],[])).
% 14.61/9.87 tff(11444,plain,
% 14.61/9.87 ((v123(constB75) <=> (~(v90(constB75, bitIndex0) | v90(constB75, bitIndex1) | (~v90(constB75, bitIndex2))))) <=> (v123(constB75) <=> (~((~v90(constB75, bitIndex2)) | v90(constB75, bitIndex1) | v90(constB75, bitIndex0))))),
% 14.61/9.87 inference(rewrite,[status(thm)],[])).
% 14.61/9.87 tff(11445,plain,
% 14.61/9.87 (((~![VarCurr: $i] : (v123(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)))))) | (v123(constB75) <=> (~(v90(constB75, bitIndex0) | v90(constB75, bitIndex1) | (~v90(constB75, bitIndex2)))))) <=> ((~![VarCurr: $i] : (v123(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)))))) | (v123(constB75) <=> (~((~v90(constB75, bitIndex2)) | v90(constB75, bitIndex1) | v90(constB75, bitIndex0)))))),
% 14.61/9.87 inference(monotonicity,[status(thm)],[11444])).
% 14.61/9.87 tff(11446,plain,
% 14.61/9.87 (((~![VarCurr: $i] : (v123(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)))))) | (v123(constB75) <=> (~(v90(constB75, bitIndex0) | v90(constB75, bitIndex1) | (~v90(constB75, bitIndex2)))))) <=> ((~![VarCurr: $i] : (v123(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)))))) | (v123(constB75) <=> (~((~v90(constB75, bitIndex2)) | v90(constB75, bitIndex1) | v90(constB75, bitIndex0)))))),
% 14.61/9.87 inference(transitivity,[status(thm)],[11445, 11443])).
% 14.61/9.87 tff(11447,plain,
% 14.61/9.87 ((~![VarCurr: $i] : (v123(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)))))) | (v123(constB75) <=> (~(v90(constB75, bitIndex0) | v90(constB75, bitIndex1) | (~v90(constB75, bitIndex2)))))),
% 14.61/9.87 inference(quant_inst,[status(thm)],[])).
% 14.61/9.87 tff(11448,plain,
% 14.61/9.87 ((~![VarCurr: $i] : (v123(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)))))) | (v123(constB75) <=> (~((~v90(constB75, bitIndex2)) | v90(constB75, bitIndex1) | v90(constB75, bitIndex0))))),
% 14.61/9.87 inference(modus_ponens,[status(thm)],[11447, 11446])).
% 14.61/9.87 tff(11449,plain,
% 14.61/9.87 (v123(constB75) <=> (~((~v90(constB75, bitIndex2)) | v90(constB75, bitIndex1) | v90(constB75, bitIndex0)))),
% 14.61/9.87 inference(unit_resolution,[status(thm)],[11448, 621])).
% 14.61/9.87 tff(11450,plain,
% 14.61/9.87 (((~v90(constB75, bitIndex2)) | v90(constB75, bitIndex1) | v90(constB75, bitIndex0)) | (~v90(constB75, bitIndex1))),
% 14.61/9.88 inference(tautology,[status(thm)],[])).
% 14.61/9.88 tff(11451,plain,
% 14.61/9.88 ((~v90(constB75, bitIndex2)) | v90(constB75, bitIndex1) | v90(constB75, bitIndex0)),
% 14.61/9.88 inference(unit_resolution,[status(thm)],[11450, 11365])).
% 14.61/9.88 tff(11452,plain,
% 14.61/9.88 ((~(v123(constB75) <=> (~((~v90(constB75, bitIndex2)) | v90(constB75, bitIndex1) | v90(constB75, bitIndex0))))) | (~v123(constB75)) | (~((~v90(constB75, bitIndex2)) | v90(constB75, bitIndex1) | v90(constB75, bitIndex0)))),
% 14.61/9.88 inference(tautology,[status(thm)],[])).
% 14.61/9.88 tff(11453,plain,
% 14.61/9.88 (~v123(constB75)),
% 14.61/9.88 inference(unit_resolution,[status(thm)],[11452, 11451, 11449])).
% 14.61/9.88 tff(11454,plain,
% 14.61/9.88 (((~![VarCurr: $i] : (v122(VarCurr) <=> (~(v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)))))) | (v122(constB75) <=> (~(v90(constB75, bitIndex2) | (~v90(constB75, bitIndex1)) | (~v90(constB75, bitIndex0)))))) <=> ((~![VarCurr: $i] : (v122(VarCurr) <=> (~(v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)))))) | (v122(constB75) <=> (~(v90(constB75, bitIndex2) | (~v90(constB75, bitIndex1)) | (~v90(constB75, bitIndex0))))))),
% 14.61/9.88 inference(rewrite,[status(thm)],[])).
% 14.61/9.88 tff(11455,plain,
% 14.61/9.88 ((v122(constB75) <=> (~(v90(constB75, bitIndex2) | (~v90(constB75, bitIndex0)) | (~v90(constB75, bitIndex1))))) <=> (v122(constB75) <=> (~(v90(constB75, bitIndex2) | (~v90(constB75, bitIndex1)) | (~v90(constB75, bitIndex0)))))),
% 14.61/9.88 inference(rewrite,[status(thm)],[])).
% 14.61/9.88 tff(11456,plain,
% 14.61/9.88 (((~![VarCurr: $i] : (v122(VarCurr) <=> (~(v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)))))) | (v122(constB75) <=> (~(v90(constB75, bitIndex2) | (~v90(constB75, bitIndex0)) | (~v90(constB75, bitIndex1)))))) <=> ((~![VarCurr: $i] : (v122(VarCurr) <=> (~(v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)))))) | (v122(constB75) <=> (~(v90(constB75, bitIndex2) | (~v90(constB75, bitIndex1)) | (~v90(constB75, bitIndex0))))))),
% 14.61/9.88 inference(monotonicity,[status(thm)],[11455])).
% 14.61/9.88 tff(11457,plain,
% 14.61/9.88 (((~![VarCurr: $i] : (v122(VarCurr) <=> (~(v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)))))) | (v122(constB75) <=> (~(v90(constB75, bitIndex2) | (~v90(constB75, bitIndex0)) | (~v90(constB75, bitIndex1)))))) <=> ((~![VarCurr: $i] : (v122(VarCurr) <=> (~(v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)))))) | (v122(constB75) <=> (~(v90(constB75, bitIndex2) | (~v90(constB75, bitIndex1)) | (~v90(constB75, bitIndex0))))))),
% 14.61/9.88 inference(transitivity,[status(thm)],[11456, 11454])).
% 14.61/9.88 tff(11458,plain,
% 14.61/9.88 ((~![VarCurr: $i] : (v122(VarCurr) <=> (~(v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)))))) | (v122(constB75) <=> (~(v90(constB75, bitIndex2) | (~v90(constB75, bitIndex0)) | (~v90(constB75, bitIndex1)))))),
% 14.61/9.88 inference(quant_inst,[status(thm)],[])).
% 14.61/9.88 tff(11459,plain,
% 14.61/9.88 ((~![VarCurr: $i] : (v122(VarCurr) <=> (~(v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)))))) | (v122(constB75) <=> (~(v90(constB75, bitIndex2) | (~v90(constB75, bitIndex1)) | (~v90(constB75, bitIndex0)))))),
% 14.61/9.88 inference(modus_ponens,[status(thm)],[11458, 11457])).
% 14.61/9.88 tff(11460,plain,
% 14.61/9.88 (v122(constB75) <=> (~(v90(constB75, bitIndex2) | (~v90(constB75, bitIndex1)) | (~v90(constB75, bitIndex0))))),
% 14.61/9.88 inference(unit_resolution,[status(thm)],[11459, 734])).
% 14.61/9.88 tff(11461,plain,
% 14.61/9.88 ((v90(constB75, bitIndex2) | (~v90(constB75, bitIndex1)) | (~v90(constB75, bitIndex0))) | (~v90(constB75, bitIndex2))),
% 14.61/9.88 inference(tautology,[status(thm)],[])).
% 14.61/9.88 tff(11462,plain,
% 14.61/9.88 (v90(constB75, bitIndex2) | (~v90(constB75, bitIndex1)) | (~v90(constB75, bitIndex0))),
% 14.61/9.88 inference(unit_resolution,[status(thm)],[11461, 11303])).
% 14.61/9.88 tff(11463,plain,
% 14.61/9.88 ((~(v122(constB75) <=> (~(v90(constB75, bitIndex2) | (~v90(constB75, bitIndex1)) | (~v90(constB75, bitIndex0)))))) | (~v122(constB75)) | (~(v90(constB75, bitIndex2) | (~v90(constB75, bitIndex1)) | (~v90(constB75, bitIndex0))))),
% 14.61/9.88 inference(tautology,[status(thm)],[])).
% 14.61/9.88 tff(11464,plain,
% 14.61/9.88 (~v122(constB75)),
% 14.61/9.88 inference(unit_resolution,[status(thm)],[11463, 11462, 11460])).
% 14.61/9.88 tff(11465,plain,
% 14.61/9.88 (((~![VarCurr: $i] : (v121(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex1)))))) | (v121(constB75) <=> (~(v90(constB75, bitIndex2) | (~v90(constB75, bitIndex1)) | v90(constB75, bitIndex0))))) <=> ((~![VarCurr: $i] : (v121(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex1)))))) | (v121(constB75) <=> (~(v90(constB75, bitIndex2) | (~v90(constB75, bitIndex1)) | v90(constB75, bitIndex0)))))),
% 14.61/9.88 inference(rewrite,[status(thm)],[])).
% 14.61/9.88 tff(11466,plain,
% 14.61/9.88 ((v121(constB75) <=> (~(v90(constB75, bitIndex0) | v90(constB75, bitIndex2) | (~v90(constB75, bitIndex1))))) <=> (v121(constB75) <=> (~(v90(constB75, bitIndex2) | (~v90(constB75, bitIndex1)) | v90(constB75, bitIndex0))))),
% 14.61/9.88 inference(rewrite,[status(thm)],[])).
% 14.61/9.88 tff(11467,plain,
% 14.61/9.88 (((~![VarCurr: $i] : (v121(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex1)))))) | (v121(constB75) <=> (~(v90(constB75, bitIndex0) | v90(constB75, bitIndex2) | (~v90(constB75, bitIndex1)))))) <=> ((~![VarCurr: $i] : (v121(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex1)))))) | (v121(constB75) <=> (~(v90(constB75, bitIndex2) | (~v90(constB75, bitIndex1)) | v90(constB75, bitIndex0)))))),
% 14.61/9.88 inference(monotonicity,[status(thm)],[11466])).
% 14.61/9.88 tff(11468,plain,
% 14.61/9.88 (((~![VarCurr: $i] : (v121(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex1)))))) | (v121(constB75) <=> (~(v90(constB75, bitIndex0) | v90(constB75, bitIndex2) | (~v90(constB75, bitIndex1)))))) <=> ((~![VarCurr: $i] : (v121(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex1)))))) | (v121(constB75) <=> (~(v90(constB75, bitIndex2) | (~v90(constB75, bitIndex1)) | v90(constB75, bitIndex0)))))),
% 14.61/9.88 inference(transitivity,[status(thm)],[11467, 11465])).
% 14.61/9.88 tff(11469,plain,
% 14.61/9.88 ((~![VarCurr: $i] : (v121(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex1)))))) | (v121(constB75) <=> (~(v90(constB75, bitIndex0) | v90(constB75, bitIndex2) | (~v90(constB75, bitIndex1)))))),
% 14.61/9.88 inference(quant_inst,[status(thm)],[])).
% 14.61/9.88 tff(11470,plain,
% 14.61/9.88 ((~![VarCurr: $i] : (v121(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex1)))))) | (v121(constB75) <=> (~(v90(constB75, bitIndex2) | (~v90(constB75, bitIndex1)) | v90(constB75, bitIndex0))))),
% 14.61/9.88 inference(modus_ponens,[status(thm)],[11469, 11468])).
% 14.61/9.88 tff(11471,plain,
% 14.61/9.88 (v121(constB75) <=> (~(v90(constB75, bitIndex2) | (~v90(constB75, bitIndex1)) | v90(constB75, bitIndex0)))),
% 14.61/9.88 inference(unit_resolution,[status(thm)],[11470, 849])).
% 14.61/9.88 tff(11472,plain,
% 14.61/9.88 ((v90(constB75, bitIndex2) | (~v90(constB75, bitIndex1)) | v90(constB75, bitIndex0)) | (~v90(constB75, bitIndex2))),
% 14.61/9.88 inference(tautology,[status(thm)],[])).
% 14.61/9.88 tff(11473,plain,
% 14.61/9.88 (v90(constB75, bitIndex2) | (~v90(constB75, bitIndex1)) | v90(constB75, bitIndex0)),
% 14.61/9.88 inference(unit_resolution,[status(thm)],[11472, 11303])).
% 14.61/9.88 tff(11474,plain,
% 14.61/9.88 ((~(v121(constB75) <=> (~(v90(constB75, bitIndex2) | (~v90(constB75, bitIndex1)) | v90(constB75, bitIndex0))))) | (~v121(constB75)) | (~(v90(constB75, bitIndex2) | (~v90(constB75, bitIndex1)) | v90(constB75, bitIndex0)))),
% 14.61/9.88 inference(tautology,[status(thm)],[])).
% 14.61/9.88 tff(11475,plain,
% 14.61/9.88 (~v121(constB75)),
% 14.61/9.88 inference(unit_resolution,[status(thm)],[11474, 11473, 11471])).
% 14.61/9.88 tff(11476,plain,
% 14.61/9.88 (((~![VarCurr: $i] : (v120(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)))))) | (v120(constB75) <=> (~(v90(constB75, bitIndex2) | v90(constB75, bitIndex1) | (~v90(constB75, bitIndex0)))))) <=> ((~![VarCurr: $i] : (v120(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)))))) | (v120(constB75) <=> (~(v90(constB75, bitIndex2) | v90(constB75, bitIndex1) | (~v90(constB75, bitIndex0))))))),
% 14.61/9.88 inference(rewrite,[status(thm)],[])).
% 14.61/9.88 tff(11477,plain,
% 14.61/9.88 ((v120(constB75) <=> (~(v90(constB75, bitIndex1) | v90(constB75, bitIndex2) | (~v90(constB75, bitIndex0))))) <=> (v120(constB75) <=> (~(v90(constB75, bitIndex2) | v90(constB75, bitIndex1) | (~v90(constB75, bitIndex0)))))),
% 14.61/9.88 inference(rewrite,[status(thm)],[])).
% 14.61/9.88 tff(11478,plain,
% 14.61/9.88 (((~![VarCurr: $i] : (v120(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)))))) | (v120(constB75) <=> (~(v90(constB75, bitIndex1) | v90(constB75, bitIndex2) | (~v90(constB75, bitIndex0)))))) <=> ((~![VarCurr: $i] : (v120(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)))))) | (v120(constB75) <=> (~(v90(constB75, bitIndex2) | v90(constB75, bitIndex1) | (~v90(constB75, bitIndex0))))))),
% 14.61/9.88 inference(monotonicity,[status(thm)],[11477])).
% 14.61/9.88 tff(11479,plain,
% 14.61/9.88 (((~![VarCurr: $i] : (v120(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)))))) | (v120(constB75) <=> (~(v90(constB75, bitIndex1) | v90(constB75, bitIndex2) | (~v90(constB75, bitIndex0)))))) <=> ((~![VarCurr: $i] : (v120(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)))))) | (v120(constB75) <=> (~(v90(constB75, bitIndex2) | v90(constB75, bitIndex1) | (~v90(constB75, bitIndex0))))))),
% 14.61/9.88 inference(transitivity,[status(thm)],[11478, 11476])).
% 14.61/9.88 tff(11480,plain,
% 14.61/9.88 ((~![VarCurr: $i] : (v120(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)))))) | (v120(constB75) <=> (~(v90(constB75, bitIndex1) | v90(constB75, bitIndex2) | (~v90(constB75, bitIndex0)))))),
% 14.61/9.88 inference(quant_inst,[status(thm)],[])).
% 14.61/9.88 tff(11481,plain,
% 14.61/9.88 ((~![VarCurr: $i] : (v120(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)))))) | (v120(constB75) <=> (~(v90(constB75, bitIndex2) | v90(constB75, bitIndex1) | (~v90(constB75, bitIndex0)))))),
% 14.61/9.88 inference(modus_ponens,[status(thm)],[11480, 11479])).
% 14.61/9.88 tff(11482,plain,
% 14.61/9.88 (v120(constB75) <=> (~(v90(constB75, bitIndex2) | v90(constB75, bitIndex1) | (~v90(constB75, bitIndex0))))),
% 14.61/9.88 inference(unit_resolution,[status(thm)],[11481, 966])).
% 14.61/9.88 tff(11483,plain,
% 14.61/9.88 ((v90(constB75, bitIndex2) | v90(constB75, bitIndex1) | (~v90(constB75, bitIndex0))) | (~v90(constB75, bitIndex2))),
% 14.61/9.88 inference(tautology,[status(thm)],[])).
% 14.61/9.88 tff(11484,plain,
% 14.61/9.88 (v90(constB75, bitIndex2) | v90(constB75, bitIndex1) | (~v90(constB75, bitIndex0))),
% 14.61/9.88 inference(unit_resolution,[status(thm)],[11483, 11303])).
% 14.61/9.88 tff(11485,plain,
% 14.61/9.88 ((~(v120(constB75) <=> (~(v90(constB75, bitIndex2) | v90(constB75, bitIndex1) | (~v90(constB75, bitIndex0)))))) | (~v120(constB75)) | (~(v90(constB75, bitIndex2) | v90(constB75, bitIndex1) | (~v90(constB75, bitIndex0))))),
% 14.61/9.88 inference(tautology,[status(thm)],[])).
% 14.61/9.88 tff(11486,plain,
% 14.61/9.88 (~v120(constB75)),
% 14.61/9.88 inference(unit_resolution,[status(thm)],[11485, 11484, 11482])).
% 14.61/9.88 tff(11487,plain,
% 14.61/9.88 (((~![VarCurr: $i] : (v124(VarCurr) | v123(VarCurr) | v122(VarCurr) | v121(VarCurr) | v120(VarCurr) | v119(VarCurr) | ![B: $i] : ((~less_3(B)) | (v130(VarCurr, B) <=> b001(B))))) | (v119(constB75) | v120(constB75) | v121(constB75) | v122(constB75) | v123(constB75) | v124(constB75) | ![B: $i] : ((~less_3(B)) | (v130(constB75, B) <=> b001(B))))) <=> ((~![VarCurr: $i] : (v124(VarCurr) | v123(VarCurr) | v122(VarCurr) | v121(VarCurr) | v120(VarCurr) | v119(VarCurr) | ![B: $i] : ((~less_3(B)) | (v130(VarCurr, B) <=> b001(B))))) | v119(constB75) | v120(constB75) | v121(constB75) | v122(constB75) | v123(constB75) | v124(constB75) | ![B: $i] : ((~less_3(B)) | (v130(constB75, B) <=> b001(B))))),
% 14.61/9.88 inference(rewrite,[status(thm)],[])).
% 14.61/9.88 tff(11488,plain,
% 14.61/9.88 ((v124(constB75) | v123(constB75) | v122(constB75) | v121(constB75) | v120(constB75) | v119(constB75) | ![B: $i] : ((~less_3(B)) | (v130(constB75, B) <=> b001(B)))) <=> (v119(constB75) | v120(constB75) | v121(constB75) | v122(constB75) | v123(constB75) | v124(constB75) | ![B: $i] : ((~less_3(B)) | (v130(constB75, B) <=> b001(B))))),
% 14.61/9.88 inference(rewrite,[status(thm)],[])).
% 14.61/9.89 tff(11489,plain,
% 14.61/9.89 (((~![VarCurr: $i] : (v124(VarCurr) | v123(VarCurr) | v122(VarCurr) | v121(VarCurr) | v120(VarCurr) | v119(VarCurr) | ![B: $i] : ((~less_3(B)) | (v130(VarCurr, B) <=> b001(B))))) | (v124(constB75) | v123(constB75) | v122(constB75) | v121(constB75) | v120(constB75) | v119(constB75) | ![B: $i] : ((~less_3(B)) | (v130(constB75, B) <=> b001(B))))) <=> ((~![VarCurr: $i] : (v124(VarCurr) | v123(VarCurr) | v122(VarCurr) | v121(VarCurr) | v120(VarCurr) | v119(VarCurr) | ![B: $i] : ((~less_3(B)) | (v130(VarCurr, B) <=> b001(B))))) | (v119(constB75) | v120(constB75) | v121(constB75) | v122(constB75) | v123(constB75) | v124(constB75) | ![B: $i] : ((~less_3(B)) | (v130(constB75, B) <=> b001(B)))))),
% 14.61/9.89 inference(monotonicity,[status(thm)],[11488])).
% 14.61/9.89 tff(11490,plain,
% 14.61/9.89 (((~![VarCurr: $i] : (v124(VarCurr) | v123(VarCurr) | v122(VarCurr) | v121(VarCurr) | v120(VarCurr) | v119(VarCurr) | ![B: $i] : ((~less_3(B)) | (v130(VarCurr, B) <=> b001(B))))) | (v124(constB75) | v123(constB75) | v122(constB75) | v121(constB75) | v120(constB75) | v119(constB75) | ![B: $i] : ((~less_3(B)) | (v130(constB75, B) <=> b001(B))))) <=> ((~![VarCurr: $i] : (v124(VarCurr) | v123(VarCurr) | v122(VarCurr) | v121(VarCurr) | v120(VarCurr) | v119(VarCurr) | ![B: $i] : ((~less_3(B)) | (v130(VarCurr, B) <=> b001(B))))) | v119(constB75) | v120(constB75) | v121(constB75) | v122(constB75) | v123(constB75) | v124(constB75) | ![B: $i] : ((~less_3(B)) | (v130(constB75, B) <=> b001(B))))),
% 14.61/9.89 inference(transitivity,[status(thm)],[11489, 11487])).
% 14.61/9.89 tff(11491,plain,
% 14.61/9.89 ((~![VarCurr: $i] : (v124(VarCurr) | v123(VarCurr) | v122(VarCurr) | v121(VarCurr) | v120(VarCurr) | v119(VarCurr) | ![B: $i] : ((~less_3(B)) | (v130(VarCurr, B) <=> b001(B))))) | (v124(constB75) | v123(constB75) | v122(constB75) | v121(constB75) | v120(constB75) | v119(constB75) | ![B: $i] : ((~less_3(B)) | (v130(constB75, B) <=> b001(B))))),
% 14.61/9.89 inference(quant_inst,[status(thm)],[])).
% 14.61/9.89 tff(11492,plain,
% 14.61/9.89 ((~![VarCurr: $i] : (v124(VarCurr) | v123(VarCurr) | v122(VarCurr) | v121(VarCurr) | v120(VarCurr) | v119(VarCurr) | ![B: $i] : ((~less_3(B)) | (v130(VarCurr, B) <=> b001(B))))) | v119(constB75) | v120(constB75) | v121(constB75) | v122(constB75) | v123(constB75) | v124(constB75) | ![B: $i] : ((~less_3(B)) | (v130(constB75, B) <=> b001(B)))),
% 14.61/9.89 inference(modus_ponens,[status(thm)],[11491, 11490])).
% 14.61/9.89 tff(11493,plain,
% 14.61/9.89 (v119(constB75) | v120(constB75) | v121(constB75) | v122(constB75) | v123(constB75) | v124(constB75) | ![B: $i] : ((~less_3(B)) | (v130(constB75, B) <=> b001(B)))),
% 14.61/9.89 inference(unit_resolution,[status(thm)],[11492, 5610])).
% 14.61/9.89 tff(11494,plain,
% 14.61/9.89 (![B: $i] : ((~less_3(B)) | (v130(constB75, B) <=> b001(B)))),
% 14.61/9.89 inference(unit_resolution,[status(thm)],[11493, 11486, 11475, 11464, 11453, 11442, 11431])).
% 14.61/9.89 tff(11495,plain,
% 14.61/9.89 (((~![B: $i] : ((~less_3(B)) | (v130(constB75, B) <=> b001(B)))) | ((~less_3(bitIndex2)) | (v130(constB75, bitIndex2) <=> b001(bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v130(constB75, B) <=> b001(B)))) | (~less_3(bitIndex2)) | (v130(constB75, bitIndex2) <=> b001(bitIndex2)))),
% 14.61/9.89 inference(rewrite,[status(thm)],[])).
% 14.61/9.89 tff(11496,plain,
% 14.61/9.89 ((~![B: $i] : ((~less_3(B)) | (v130(constB75, B) <=> b001(B)))) | ((~less_3(bitIndex2)) | (v130(constB75, bitIndex2) <=> b001(bitIndex2)))),
% 14.61/9.89 inference(quant_inst,[status(thm)],[])).
% 14.61/9.89 tff(11497,plain,
% 14.61/9.89 ((~![B: $i] : ((~less_3(B)) | (v130(constB75, B) <=> b001(B)))) | (~less_3(bitIndex2)) | (v130(constB75, bitIndex2) <=> b001(bitIndex2))),
% 14.61/9.89 inference(modus_ponens,[status(thm)],[11496, 11495])).
% 14.61/9.89 tff(11498,plain,
% 14.61/9.89 (v130(constB75, bitIndex2) <=> b001(bitIndex2)),
% 14.61/9.89 inference(unit_resolution,[status(thm)],[11497, 413, 11494])).
% 14.61/9.89 tff(11499,plain,
% 14.61/9.89 ((~(v130(constB75, bitIndex2) <=> b001(bitIndex2))) | (~v130(constB75, bitIndex2)) | b001(bitIndex2)),
% 14.61/9.89 inference(tautology,[status(thm)],[])).
% 14.61/9.89 tff(11500,plain,
% 14.61/9.89 ((~(v130(constB75, bitIndex2) <=> b001(bitIndex2))) | (~v130(constB75, bitIndex2))),
% 14.61/9.89 inference(unit_resolution,[status(thm)],[11499, 5625])).
% 14.61/9.89 tff(11501,plain,
% 14.61/9.89 (~v130(constB75, bitIndex2)),
% 14.61/9.89 inference(unit_resolution,[status(thm)],[11500, 11498])).
% 14.61/9.89 tff(11502,plain,
% 14.61/9.89 ((~(v127(constB75, bitIndex2) <=> v130(constB75, bitIndex2))) | (~v127(constB75, bitIndex2)) | v130(constB75, bitIndex2)),
% 14.61/9.89 inference(tautology,[status(thm)],[])).
% 14.61/9.89 tff(11503,plain,
% 14.61/9.89 (~v127(constB75, bitIndex2)),
% 14.61/9.89 inference(unit_resolution,[status(thm)],[11502, 11501, 11425])).
% 14.61/9.89 tff(11504,plain,
% 14.61/9.89 ((~(v129(constB76, bitIndex2) <=> v127(constB75, bitIndex2))) | (~v129(constB76, bitIndex2)) | v127(constB75, bitIndex2)),
% 14.61/9.89 inference(tautology,[status(thm)],[])).
% 14.61/9.89 tff(11505,plain,
% 14.61/9.89 (~v129(constB76, bitIndex2)),
% 14.61/9.89 inference(unit_resolution,[status(thm)],[11504, 11503, 11417])).
% 14.61/9.89 tff(11506,plain,
% 14.61/9.89 ((~(v90(constB76, bitIndex2) <=> v129(constB76, bitIndex2))) | (~v90(constB76, bitIndex2)) | v129(constB76, bitIndex2)),
% 14.61/9.89 inference(tautology,[status(thm)],[])).
% 14.61/9.89 tff(11507,plain,
% 14.61/9.89 (~v90(constB76, bitIndex2)),
% 14.61/9.89 inference(unit_resolution,[status(thm)],[11506, 11505, 11409])).
% 14.61/9.89 tff(11508,plain,
% 14.61/9.89 ((~(v90(constB77, bitIndex2) <=> v90(constB76, bitIndex2))) | (~v90(constB77, bitIndex2)) | v90(constB76, bitIndex2)),
% 14.61/9.89 inference(tautology,[status(thm)],[])).
% 14.61/9.89 tff(11509,plain,
% 14.61/9.89 (~v90(constB77, bitIndex2)),
% 14.61/9.89 inference(unit_resolution,[status(thm)],[11508, 11507, 1481])).
% 14.61/9.89 tff(11510,plain,
% 14.61/9.89 (((~![B: $i] : ((~less_3(B)) | (v90(constB77, B) <=> v90(constB76, B)))) | ((~less_3(bitIndex0)) | (v90(constB77, bitIndex0) <=> v90(constB76, bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v90(constB77, B) <=> v90(constB76, B)))) | (~less_3(bitIndex0)) | (v90(constB77, bitIndex0) <=> v90(constB76, bitIndex0)))),
% 14.61/9.89 inference(rewrite,[status(thm)],[])).
% 14.61/9.89 tff(11511,plain,
% 14.61/9.89 ((~![B: $i] : ((~less_3(B)) | (v90(constB77, B) <=> v90(constB76, B)))) | ((~less_3(bitIndex0)) | (v90(constB77, bitIndex0) <=> v90(constB76, bitIndex0)))),
% 14.61/9.89 inference(quant_inst,[status(thm)],[])).
% 14.61/9.89 tff(11512,plain,
% 14.61/9.89 ((~![B: $i] : ((~less_3(B)) | (v90(constB77, B) <=> v90(constB76, B)))) | (~less_3(bitIndex0)) | (v90(constB77, bitIndex0) <=> v90(constB76, bitIndex0))),
% 14.61/9.89 inference(modus_ponens,[status(thm)],[11511, 11510])).
% 14.61/9.89 tff(11513,plain,
% 14.61/9.89 (v90(constB77, bitIndex0) <=> v90(constB76, bitIndex0)),
% 14.61/9.89 inference(unit_resolution,[status(thm)],[11512, 5004, 1477])).
% 14.61/9.89 tff(11514,plain,
% 14.61/9.89 (((~![B: $i] : ((~less_3(B)) | (v90(constB76, B) <=> v129(constB76, B)))) | ((~less_3(bitIndex0)) | (v90(constB76, bitIndex0) <=> v129(constB76, bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v90(constB76, B) <=> v129(constB76, B)))) | (~less_3(bitIndex0)) | (v90(constB76, bitIndex0) <=> v129(constB76, bitIndex0)))),
% 14.61/9.89 inference(rewrite,[status(thm)],[])).
% 14.61/9.89 tff(11515,plain,
% 14.61/9.89 ((~![B: $i] : ((~less_3(B)) | (v90(constB76, B) <=> v129(constB76, B)))) | ((~less_3(bitIndex0)) | (v90(constB76, bitIndex0) <=> v129(constB76, bitIndex0)))),
% 14.61/9.89 inference(quant_inst,[status(thm)],[])).
% 14.61/9.89 tff(11516,plain,
% 14.61/9.89 ((~![B: $i] : ((~less_3(B)) | (v90(constB76, B) <=> v129(constB76, B)))) | (~less_3(bitIndex0)) | (v90(constB76, bitIndex0) <=> v129(constB76, bitIndex0))),
% 14.61/9.89 inference(modus_ponens,[status(thm)],[11515, 11514])).
% 14.61/9.89 tff(11517,plain,
% 14.61/9.89 (v90(constB76, bitIndex0) <=> v129(constB76, bitIndex0)),
% 14.61/9.89 inference(unit_resolution,[status(thm)],[11516, 5004, 11405])).
% 14.61/9.89 tff(11518,plain,
% 14.61/9.89 (((~![B: $i] : ((~less_3(B)) | (v129(constB76, B) <=> v127(constB75, B)))) | ((~less_3(bitIndex0)) | (v129(constB76, bitIndex0) <=> v127(constB75, bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v129(constB76, B) <=> v127(constB75, B)))) | (~less_3(bitIndex0)) | (v129(constB76, bitIndex0) <=> v127(constB75, bitIndex0)))),
% 14.61/9.89 inference(rewrite,[status(thm)],[])).
% 14.61/9.89 tff(11519,plain,
% 14.61/9.89 ((~![B: $i] : ((~less_3(B)) | (v129(constB76, B) <=> v127(constB75, B)))) | ((~less_3(bitIndex0)) | (v129(constB76, bitIndex0) <=> v127(constB75, bitIndex0)))),
% 14.61/9.89 inference(quant_inst,[status(thm)],[])).
% 14.61/9.89 tff(11520,plain,
% 14.61/9.89 ((~![B: $i] : ((~less_3(B)) | (v129(constB76, B) <=> v127(constB75, B)))) | (~less_3(bitIndex0)) | (v129(constB76, bitIndex0) <=> v127(constB75, bitIndex0))),
% 14.61/9.89 inference(modus_ponens,[status(thm)],[11519, 11518])).
% 14.61/9.89 tff(11521,plain,
% 14.61/9.89 (v129(constB76, bitIndex0) <=> v127(constB75, bitIndex0)),
% 14.61/9.89 inference(unit_resolution,[status(thm)],[11520, 5004, 11413])).
% 14.61/9.89 tff(11522,plain,
% 14.61/9.89 (((~![B: $i] : ((~less_3(B)) | (v127(constB75, B) <=> v130(constB75, B)))) | ((~less_3(bitIndex0)) | (v127(constB75, bitIndex0) <=> v130(constB75, bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v127(constB75, B) <=> v130(constB75, B)))) | (~less_3(bitIndex0)) | (v127(constB75, bitIndex0) <=> v130(constB75, bitIndex0)))),
% 14.61/9.89 inference(rewrite,[status(thm)],[])).
% 14.61/9.89 tff(11523,plain,
% 14.61/9.89 ((~![B: $i] : ((~less_3(B)) | (v127(constB75, B) <=> v130(constB75, B)))) | ((~less_3(bitIndex0)) | (v127(constB75, bitIndex0) <=> v130(constB75, bitIndex0)))),
% 14.61/9.89 inference(quant_inst,[status(thm)],[])).
% 14.61/9.89 tff(11524,plain,
% 14.61/9.89 ((~![B: $i] : ((~less_3(B)) | (v127(constB75, B) <=> v130(constB75, B)))) | (~less_3(bitIndex0)) | (v127(constB75, bitIndex0) <=> v130(constB75, bitIndex0))),
% 14.61/9.89 inference(modus_ponens,[status(thm)],[11523, 11522])).
% 14.61/9.89 tff(11525,plain,
% 14.61/9.89 (v127(constB75, bitIndex0) <=> v130(constB75, bitIndex0)),
% 14.61/9.89 inference(unit_resolution,[status(thm)],[11524, 5004, 11421])).
% 14.61/9.89 tff(11526,plain,
% 14.61/9.89 (((~![B: $i] : ((~less_3(B)) | (v130(constB75, B) <=> b001(B)))) | ((~less_3(bitIndex0)) | (v130(constB75, bitIndex0) <=> b001(bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v130(constB75, B) <=> b001(B)))) | (~less_3(bitIndex0)) | (v130(constB75, bitIndex0) <=> b001(bitIndex0)))),
% 14.61/9.89 inference(rewrite,[status(thm)],[])).
% 14.61/9.89 tff(11527,plain,
% 14.61/9.89 ((~![B: $i] : ((~less_3(B)) | (v130(constB75, B) <=> b001(B)))) | ((~less_3(bitIndex0)) | (v130(constB75, bitIndex0) <=> b001(bitIndex0)))),
% 14.61/9.89 inference(quant_inst,[status(thm)],[])).
% 14.61/9.89 tff(11528,plain,
% 14.61/9.89 ((~![B: $i] : ((~less_3(B)) | (v130(constB75, B) <=> b001(B)))) | (~less_3(bitIndex0)) | (v130(constB75, bitIndex0) <=> b001(bitIndex0))),
% 14.61/9.89 inference(modus_ponens,[status(thm)],[11527, 11526])).
% 14.61/9.89 tff(11529,plain,
% 14.61/9.89 (v130(constB75, bitIndex0) <=> b001(bitIndex0)),
% 14.61/9.89 inference(unit_resolution,[status(thm)],[11528, 5004, 11494])).
% 14.61/9.89 tff(11530,plain,
% 14.61/9.89 ((~(v130(constB75, bitIndex0) <=> b001(bitIndex0))) | v130(constB75, bitIndex0) | (~b001(bitIndex0))),
% 14.61/9.89 inference(tautology,[status(thm)],[])).
% 14.61/9.89 tff(11531,plain,
% 14.61/9.89 ((~(v130(constB75, bitIndex0) <=> b001(bitIndex0))) | v130(constB75, bitIndex0)),
% 14.61/9.89 inference(unit_resolution,[status(thm)],[11530, 5659])).
% 14.61/9.89 tff(11532,plain,
% 14.61/9.89 (v130(constB75, bitIndex0)),
% 14.61/9.89 inference(unit_resolution,[status(thm)],[11531, 11529])).
% 14.61/9.89 tff(11533,plain,
% 14.61/9.89 ((~(v127(constB75, bitIndex0) <=> v130(constB75, bitIndex0))) | v127(constB75, bitIndex0) | (~v130(constB75, bitIndex0))),
% 14.61/9.89 inference(tautology,[status(thm)],[])).
% 14.61/9.89 tff(11534,plain,
% 14.61/9.89 (v127(constB75, bitIndex0)),
% 14.61/9.89 inference(unit_resolution,[status(thm)],[11533, 11532, 11525])).
% 14.61/9.89 tff(11535,plain,
% 14.61/9.89 ((~(v129(constB76, bitIndex0) <=> v127(constB75, bitIndex0))) | v129(constB76, bitIndex0) | (~v127(constB75, bitIndex0))),
% 14.61/9.89 inference(tautology,[status(thm)],[])).
% 14.61/9.89 tff(11536,plain,
% 14.61/9.89 (v129(constB76, bitIndex0)),
% 14.61/9.89 inference(unit_resolution,[status(thm)],[11535, 11534, 11521])).
% 14.61/9.89 tff(11537,plain,
% 14.61/9.89 ((~(v90(constB76, bitIndex0) <=> v129(constB76, bitIndex0))) | v90(constB76, bitIndex0) | (~v129(constB76, bitIndex0))),
% 14.61/9.89 inference(tautology,[status(thm)],[])).
% 14.61/9.89 tff(11538,plain,
% 14.61/9.89 (v90(constB76, bitIndex0)),
% 14.61/9.89 inference(unit_resolution,[status(thm)],[11537, 11536, 11517])).
% 14.61/9.89 tff(11539,plain,
% 14.61/9.89 ((~(v90(constB77, bitIndex0) <=> v90(constB76, bitIndex0))) | v90(constB77, bitIndex0) | (~v90(constB76, bitIndex0))),
% 14.61/9.89 inference(tautology,[status(thm)],[])).
% 14.61/9.89 tff(11540,plain,
% 14.61/9.89 (v90(constB77, bitIndex0)),
% 14.61/9.89 inference(unit_resolution,[status(thm)],[11539, 11538, 11513])).
% 14.61/9.89 tff(11541,plain,
% 14.61/9.89 (((~![B: $i] : ((~less_3(B)) | (v90(constB77, B) <=> v90(constB76, B)))) | ((~less_3(bitIndex1)) | (v90(constB77, bitIndex1) <=> v90(constB76, bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v90(constB77, B) <=> v90(constB76, B)))) | (~less_3(bitIndex1)) | (v90(constB77, bitIndex1) <=> v90(constB76, bitIndex1)))),
% 14.69/9.89 inference(rewrite,[status(thm)],[])).
% 14.69/9.89 tff(11542,plain,
% 14.69/9.89 ((~![B: $i] : ((~less_3(B)) | (v90(constB77, B) <=> v90(constB76, B)))) | ((~less_3(bitIndex1)) | (v90(constB77, bitIndex1) <=> v90(constB76, bitIndex1)))),
% 14.69/9.89 inference(quant_inst,[status(thm)],[])).
% 14.69/9.89 tff(11543,plain,
% 14.69/9.89 ((~![B: $i] : ((~less_3(B)) | (v90(constB77, B) <=> v90(constB76, B)))) | (~less_3(bitIndex1)) | (v90(constB77, bitIndex1) <=> v90(constB76, bitIndex1))),
% 14.69/9.89 inference(modus_ponens,[status(thm)],[11542, 11541])).
% 14.69/9.89 tff(11544,plain,
% 14.69/9.89 (v90(constB77, bitIndex1) <=> v90(constB76, bitIndex1)),
% 14.69/9.89 inference(unit_resolution,[status(thm)],[11543, 5017, 1477])).
% 14.69/9.89 tff(11545,plain,
% 14.69/9.89 (((~![B: $i] : ((~less_3(B)) | (v90(constB76, B) <=> v129(constB76, B)))) | ((~less_3(bitIndex1)) | (v90(constB76, bitIndex1) <=> v129(constB76, bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v90(constB76, B) <=> v129(constB76, B)))) | (~less_3(bitIndex1)) | (v90(constB76, bitIndex1) <=> v129(constB76, bitIndex1)))),
% 14.69/9.89 inference(rewrite,[status(thm)],[])).
% 14.69/9.89 tff(11546,plain,
% 14.69/9.89 ((~![B: $i] : ((~less_3(B)) | (v90(constB76, B) <=> v129(constB76, B)))) | ((~less_3(bitIndex1)) | (v90(constB76, bitIndex1) <=> v129(constB76, bitIndex1)))),
% 14.69/9.89 inference(quant_inst,[status(thm)],[])).
% 14.69/9.89 tff(11547,plain,
% 14.69/9.89 ((~![B: $i] : ((~less_3(B)) | (v90(constB76, B) <=> v129(constB76, B)))) | (~less_3(bitIndex1)) | (v90(constB76, bitIndex1) <=> v129(constB76, bitIndex1))),
% 14.69/9.89 inference(modus_ponens,[status(thm)],[11546, 11545])).
% 14.69/9.89 tff(11548,plain,
% 14.69/9.89 (v90(constB76, bitIndex1) <=> v129(constB76, bitIndex1)),
% 14.69/9.89 inference(unit_resolution,[status(thm)],[11547, 5017, 11405])).
% 14.69/9.89 tff(11549,plain,
% 14.69/9.89 (((~![B: $i] : ((~less_3(B)) | (v129(constB76, B) <=> v127(constB75, B)))) | ((~less_3(bitIndex1)) | (v129(constB76, bitIndex1) <=> v127(constB75, bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v129(constB76, B) <=> v127(constB75, B)))) | (~less_3(bitIndex1)) | (v129(constB76, bitIndex1) <=> v127(constB75, bitIndex1)))),
% 14.69/9.89 inference(rewrite,[status(thm)],[])).
% 14.69/9.89 tff(11550,plain,
% 14.69/9.89 ((~![B: $i] : ((~less_3(B)) | (v129(constB76, B) <=> v127(constB75, B)))) | ((~less_3(bitIndex1)) | (v129(constB76, bitIndex1) <=> v127(constB75, bitIndex1)))),
% 14.69/9.89 inference(quant_inst,[status(thm)],[])).
% 14.69/9.89 tff(11551,plain,
% 14.69/9.89 ((~![B: $i] : ((~less_3(B)) | (v129(constB76, B) <=> v127(constB75, B)))) | (~less_3(bitIndex1)) | (v129(constB76, bitIndex1) <=> v127(constB75, bitIndex1))),
% 14.69/9.89 inference(modus_ponens,[status(thm)],[11550, 11549])).
% 14.69/9.89 tff(11552,plain,
% 14.69/9.89 (v129(constB76, bitIndex1) <=> v127(constB75, bitIndex1)),
% 14.69/9.89 inference(unit_resolution,[status(thm)],[11551, 5017, 11413])).
% 14.69/9.89 tff(11553,plain,
% 14.69/9.89 (((~![B: $i] : ((~less_3(B)) | (v127(constB75, B) <=> v130(constB75, B)))) | ((~less_3(bitIndex1)) | (v127(constB75, bitIndex1) <=> v130(constB75, bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v127(constB75, B) <=> v130(constB75, B)))) | (~less_3(bitIndex1)) | (v127(constB75, bitIndex1) <=> v130(constB75, bitIndex1)))),
% 14.69/9.89 inference(rewrite,[status(thm)],[])).
% 14.69/9.89 tff(11554,plain,
% 14.69/9.89 ((~![B: $i] : ((~less_3(B)) | (v127(constB75, B) <=> v130(constB75, B)))) | ((~less_3(bitIndex1)) | (v127(constB75, bitIndex1) <=> v130(constB75, bitIndex1)))),
% 14.69/9.89 inference(quant_inst,[status(thm)],[])).
% 14.69/9.89 tff(11555,plain,
% 14.69/9.89 ((~![B: $i] : ((~less_3(B)) | (v127(constB75, B) <=> v130(constB75, B)))) | (~less_3(bitIndex1)) | (v127(constB75, bitIndex1) <=> v130(constB75, bitIndex1))),
% 14.69/9.89 inference(modus_ponens,[status(thm)],[11554, 11553])).
% 14.69/9.89 tff(11556,plain,
% 14.69/9.89 (v127(constB75, bitIndex1) <=> v130(constB75, bitIndex1)),
% 14.69/9.89 inference(unit_resolution,[status(thm)],[11555, 5017, 11421])).
% 14.69/9.89 tff(11557,plain,
% 14.69/9.89 (((~![B: $i] : ((~less_3(B)) | (v130(constB75, B) <=> b001(B)))) | ((~less_3(bitIndex1)) | (v130(constB75, bitIndex1) <=> b001(bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v130(constB75, B) <=> b001(B)))) | (~less_3(bitIndex1)) | (v130(constB75, bitIndex1) <=> b001(bitIndex1)))),
% 14.69/9.89 inference(rewrite,[status(thm)],[])).
% 14.69/9.89 tff(11558,plain,
% 14.69/9.89 ((~![B: $i] : ((~less_3(B)) | (v130(constB75, B) <=> b001(B)))) | ((~less_3(bitIndex1)) | (v130(constB75, bitIndex1) <=> b001(bitIndex1)))),
% 14.69/9.90 inference(quant_inst,[status(thm)],[])).
% 14.69/9.90 tff(11559,plain,
% 14.69/9.90 ((~![B: $i] : ((~less_3(B)) | (v130(constB75, B) <=> b001(B)))) | (~less_3(bitIndex1)) | (v130(constB75, bitIndex1) <=> b001(bitIndex1))),
% 14.69/9.90 inference(modus_ponens,[status(thm)],[11558, 11557])).
% 14.69/9.90 tff(11560,plain,
% 14.69/9.90 (v130(constB75, bitIndex1) <=> b001(bitIndex1)),
% 14.69/9.90 inference(unit_resolution,[status(thm)],[11559, 5017, 11494])).
% 14.69/9.90 tff(11561,plain,
% 14.69/9.90 ((~(v130(constB75, bitIndex1) <=> b001(bitIndex1))) | (~v130(constB75, bitIndex1)) | b001(bitIndex1)),
% 14.69/9.90 inference(tautology,[status(thm)],[])).
% 14.69/9.90 tff(11562,plain,
% 14.69/9.90 ((~(v130(constB75, bitIndex1) <=> b001(bitIndex1))) | (~v130(constB75, bitIndex1))),
% 14.69/9.90 inference(unit_resolution,[status(thm)],[11561, 5693])).
% 14.69/9.90 tff(11563,plain,
% 14.69/9.90 (~v130(constB75, bitIndex1)),
% 14.69/9.90 inference(unit_resolution,[status(thm)],[11562, 11560])).
% 14.69/9.90 tff(11564,plain,
% 14.69/9.90 ((~(v127(constB75, bitIndex1) <=> v130(constB75, bitIndex1))) | (~v127(constB75, bitIndex1)) | v130(constB75, bitIndex1)),
% 14.69/9.90 inference(tautology,[status(thm)],[])).
% 14.69/9.90 tff(11565,plain,
% 14.69/9.90 (~v127(constB75, bitIndex1)),
% 14.69/9.90 inference(unit_resolution,[status(thm)],[11564, 11563, 11556])).
% 14.69/9.90 tff(11566,plain,
% 14.69/9.90 ((~(v129(constB76, bitIndex1) <=> v127(constB75, bitIndex1))) | (~v129(constB76, bitIndex1)) | v127(constB75, bitIndex1)),
% 14.69/9.90 inference(tautology,[status(thm)],[])).
% 14.69/9.90 tff(11567,plain,
% 14.69/9.90 (~v129(constB76, bitIndex1)),
% 14.69/9.90 inference(unit_resolution,[status(thm)],[11566, 11565, 11552])).
% 14.69/9.90 tff(11568,plain,
% 14.69/9.90 ((~(v90(constB76, bitIndex1) <=> v129(constB76, bitIndex1))) | (~v90(constB76, bitIndex1)) | v129(constB76, bitIndex1)),
% 14.69/9.90 inference(tautology,[status(thm)],[])).
% 14.69/9.90 tff(11569,plain,
% 14.69/9.90 (~v90(constB76, bitIndex1)),
% 14.69/9.90 inference(unit_resolution,[status(thm)],[11568, 11567, 11548])).
% 14.69/9.90 tff(11570,plain,
% 14.69/9.90 ((~(v90(constB77, bitIndex1) <=> v90(constB76, bitIndex1))) | (~v90(constB77, bitIndex1)) | v90(constB76, bitIndex1)),
% 14.69/9.90 inference(tautology,[status(thm)],[])).
% 14.69/9.90 tff(11571,plain,
% 14.69/9.90 (~v90(constB77, bitIndex1)),
% 14.69/9.90 inference(unit_resolution,[status(thm)],[11570, 11569, 11544])).
% 14.69/9.90 tff(11572,plain,
% 14.69/9.90 ((~(v90(constB77, bitIndex2) | v90(constB77, bitIndex1) | (~v90(constB77, bitIndex0)))) | v90(constB77, bitIndex2) | v90(constB77, bitIndex1) | (~v90(constB77, bitIndex0))),
% 14.69/9.90 inference(tautology,[status(thm)],[])).
% 14.69/9.90 tff(11573,plain,
% 14.69/9.90 (~(v90(constB77, bitIndex2) | v90(constB77, bitIndex1) | (~v90(constB77, bitIndex0)))),
% 14.69/9.90 inference(unit_resolution,[status(thm)],[11572, 11571, 11540, 11509])).
% 14.69/9.90 tff(11574,plain,
% 14.69/9.90 ((~(v120(constB77) <=> (~(v90(constB77, bitIndex2) | v90(constB77, bitIndex1) | (~v90(constB77, bitIndex0)))))) | v120(constB77) | (v90(constB77, bitIndex2) | v90(constB77, bitIndex1) | (~v90(constB77, bitIndex0)))),
% 14.69/9.90 inference(tautology,[status(thm)],[])).
% 14.69/9.90 tff(11575,plain,
% 14.69/9.90 (v120(constB77)),
% 14.69/9.90 inference(unit_resolution,[status(thm)],[11574, 11573, 1449])).
% 14.69/9.90 tff(11576,plain,
% 14.69/9.90 ((v119(constB77) | v120(constB77)) | (~v120(constB77))),
% 14.69/9.90 inference(tautology,[status(thm)],[])).
% 14.69/9.90 tff(11577,plain,
% 14.69/9.90 (v119(constB77) | v120(constB77)),
% 14.69/9.90 inference(unit_resolution,[status(thm)],[11576, 11575])).
% 14.69/9.90 tff(11578,plain,
% 14.69/9.90 ((~(v118(constB77) <=> (v119(constB77) | v120(constB77)))) | v118(constB77) | (~(v119(constB77) | v120(constB77)))),
% 14.69/9.90 inference(tautology,[status(thm)],[])).
% 14.69/9.90 tff(11579,plain,
% 14.69/9.90 (v118(constB77)),
% 14.69/9.90 inference(unit_resolution,[status(thm)],[11578, 11577, 1442])).
% 14.69/9.90 tff(11580,plain,
% 14.69/9.90 ((v118(constB77) | v121(constB77)) | (~v118(constB77))),
% 14.69/9.90 inference(tautology,[status(thm)],[])).
% 14.69/9.90 tff(11581,plain,
% 14.69/9.90 (v118(constB77) | v121(constB77)),
% 14.69/9.90 inference(unit_resolution,[status(thm)],[11580, 11579])).
% 14.69/9.90 tff(11582,plain,
% 14.69/9.90 ((~(v117(constB77) <=> (v118(constB77) | v121(constB77)))) | v117(constB77) | (~(v118(constB77) | v121(constB77)))),
% 14.69/9.90 inference(tautology,[status(thm)],[])).
% 14.69/9.90 tff(11583,plain,
% 14.69/9.90 (v117(constB77)),
% 14.69/9.90 inference(unit_resolution,[status(thm)],[11582, 11581, 1440])).
% 14.69/9.90 tff(11584,plain,
% 14.69/9.90 ((v117(constB77) | v122(constB77)) | (~v117(constB77))),
% 14.69/9.90 inference(tautology,[status(thm)],[])).
% 14.69/9.90 tff(11585,plain,
% 14.69/9.90 (v117(constB77) | v122(constB77)),
% 14.69/9.90 inference(unit_resolution,[status(thm)],[11584, 11583])).
% 14.69/9.90 tff(11586,plain,
% 14.69/9.90 ((~(v116(constB77) <=> (v117(constB77) | v122(constB77)))) | v116(constB77) | (~(v117(constB77) | v122(constB77)))),
% 14.69/9.90 inference(tautology,[status(thm)],[])).
% 14.69/9.90 tff(11587,plain,
% 14.69/9.90 (v116(constB77)),
% 14.69/9.90 inference(unit_resolution,[status(thm)],[11586, 11585, 1438])).
% 14.69/9.90 tff(11588,plain,
% 14.69/9.90 ((v116(constB77) | v123(constB77)) | (~v116(constB77))),
% 14.69/9.90 inference(tautology,[status(thm)],[])).
% 14.69/9.90 tff(11589,plain,
% 14.69/9.90 (v116(constB77) | v123(constB77)),
% 14.69/9.90 inference(unit_resolution,[status(thm)],[11588, 11587])).
% 14.69/9.90 tff(11590,plain,
% 14.69/9.90 ((~(v115(constB77) <=> (v116(constB77) | v123(constB77)))) | v115(constB77) | (~(v116(constB77) | v123(constB77)))),
% 14.69/9.90 inference(tautology,[status(thm)],[])).
% 14.69/9.90 tff(11591,plain,
% 14.69/9.90 (v115(constB77)),
% 14.69/9.90 inference(unit_resolution,[status(thm)],[11590, 11589, 1436])).
% 14.69/9.90 tff(11592,plain,
% 14.69/9.90 ((v115(constB77) | v124(constB77)) | (~v115(constB77))),
% 14.69/9.90 inference(tautology,[status(thm)],[])).
% 14.69/9.90 tff(11593,plain,
% 14.69/9.90 (v115(constB77) | v124(constB77)),
% 14.69/9.90 inference(unit_resolution,[status(thm)],[11592, 11591])).
% 14.69/9.90 tff(11594,plain,
% 14.69/9.90 ((~(v114(constB77) <=> (v115(constB77) | v124(constB77)))) | v114(constB77) | (~(v115(constB77) | v124(constB77)))),
% 14.69/9.90 inference(tautology,[status(thm)],[])).
% 14.69/9.90 tff(11595,plain,
% 14.69/9.90 (v114(constB77)),
% 14.69/9.90 inference(unit_resolution,[status(thm)],[11594, 11593, 1434])).
% 14.69/9.90 tff(11596,plain,
% 14.69/9.90 ((v114(constB77) | v125(constB77)) | (~v114(constB77))),
% 14.69/9.90 inference(tautology,[status(thm)],[])).
% 14.69/9.90 tff(11597,plain,
% 14.69/9.90 (v114(constB77) | v125(constB77)),
% 14.69/9.90 inference(unit_resolution,[status(thm)],[11596, 11595])).
% 14.69/9.90 tff(11598,plain,
% 14.69/9.90 ((~(v113(constB77) <=> (v114(constB77) | v125(constB77)))) | v113(constB77) | (~(v114(constB77) | v125(constB77)))),
% 14.69/9.90 inference(tautology,[status(thm)],[])).
% 14.69/9.90 tff(11599,plain,
% 14.69/9.90 (v113(constB77)),
% 14.69/9.90 inference(unit_resolution,[status(thm)],[11598, 11597, 1432])).
% 14.69/9.90 tff(11600,plain,
% 14.69/9.90 ((~![VarCurr: $i] : ((~v126(VarCurr)) <=> v111(VarCurr))) | ((~v126(constB77)) <=> v111(constB77))),
% 14.69/9.90 inference(quant_inst,[status(thm)],[])).
% 14.69/9.90 tff(11601,plain,
% 14.69/9.90 ((~v126(constB77)) <=> v111(constB77)),
% 14.69/9.90 inference(unit_resolution,[status(thm)],[11600, 5074])).
% 14.69/9.90 tff(11602,plain,
% 14.69/9.90 ((~![VarCurr: $i] : (v111(VarCurr) <=> v26(VarCurr))) | (v111(constB77) <=> v26(constB77))),
% 14.69/9.90 inference(quant_inst,[status(thm)],[])).
% 14.69/9.90 tff(11603,plain,
% 14.69/9.90 (v111(constB77) <=> v26(constB77)),
% 14.69/9.90 inference(unit_resolution,[status(thm)],[11602, 5086])).
% 14.69/9.90 tff(11604,plain,
% 14.69/9.90 ((~![VarCurr: $i] : (~v26(VarCurr))) | (~v26(constB77))),
% 14.69/9.90 inference(quant_inst,[status(thm)],[])).
% 14.69/9.90 tff(11605,plain,
% 14.69/9.90 (~v26(constB77)),
% 14.69/9.90 inference(unit_resolution,[status(thm)],[11604, 5098])).
% 14.69/9.90 tff(11606,plain,
% 14.69/9.90 ((~(v111(constB77) <=> v26(constB77))) | (~v111(constB77)) | v26(constB77)),
% 14.69/9.90 inference(tautology,[status(thm)],[])).
% 14.69/9.90 tff(11607,plain,
% 14.69/9.90 ((~(v111(constB77) <=> v26(constB77))) | (~v111(constB77))),
% 14.69/9.90 inference(unit_resolution,[status(thm)],[11606, 11605])).
% 14.69/9.90 tff(11608,plain,
% 14.69/9.90 (~v111(constB77)),
% 14.69/9.90 inference(unit_resolution,[status(thm)],[11607, 11603])).
% 14.69/9.90 tff(11609,plain,
% 14.69/9.90 ((~((~v126(constB77)) <=> v111(constB77))) | v126(constB77) | v111(constB77)),
% 14.69/9.90 inference(tautology,[status(thm)],[])).
% 14.69/9.90 tff(11610,plain,
% 14.69/9.90 ((~((~v126(constB77)) <=> v111(constB77))) | v126(constB77)),
% 14.69/9.90 inference(unit_resolution,[status(thm)],[11609, 11608])).
% 14.69/9.90 tff(11611,plain,
% 14.69/9.90 (v126(constB77)),
% 14.69/9.90 inference(unit_resolution,[status(thm)],[11610, 11601])).
% 14.69/9.90 tff(11612,plain,
% 14.69/9.90 ((~((~v113(constB77)) | (~v126(constB77)))) | (~v113(constB77)) | (~v126(constB77))),
% 14.69/9.90 inference(tautology,[status(thm)],[])).
% 14.69/9.90 tff(11613,plain,
% 14.69/9.90 ((~((~v113(constB77)) | (~v126(constB77)))) | (~v113(constB77))),
% 14.69/9.90 inference(unit_resolution,[status(thm)],[11612, 11611])).
% 14.69/9.90 tff(11614,plain,
% 14.69/9.90 (~((~v113(constB77)) | (~v126(constB77)))),
% 14.69/9.90 inference(unit_resolution,[status(thm)],[11613, 11599])).
% 14.69/9.90 tff(11615,plain,
% 14.69/9.90 ((~(v112(constB77) <=> (~((~v113(constB77)) | (~v126(constB77)))))) | v112(constB77) | ((~v113(constB77)) | (~v126(constB77)))),
% 14.69/9.90 inference(tautology,[status(thm)],[])).
% 14.69/9.90 tff(11616,plain,
% 14.69/9.90 (v112(constB77)),
% 14.69/9.90 inference(unit_resolution,[status(thm)],[11615, 11614, 1430])).
% 14.69/9.90 tff(11617,plain,
% 14.69/9.90 ((v111(constB77) | v112(constB77)) | (~v112(constB77))),
% 14.69/9.90 inference(tautology,[status(thm)],[])).
% 14.69/9.90 tff(11618,plain,
% 14.69/9.90 (v111(constB77) | v112(constB77)),
% 14.69/9.90 inference(unit_resolution,[status(thm)],[11617, 11616])).
% 14.69/9.90 tff(11619,plain,
% 14.69/9.90 ((~(v108(constB77) <=> (v111(constB77) | v112(constB77)))) | v108(constB77) | (~(v111(constB77) | v112(constB77)))),
% 14.69/9.90 inference(tautology,[status(thm)],[])).
% 14.69/9.90 tff(11620,plain,
% 14.69/9.90 (v108(constB77)),
% 14.69/9.90 inference(unit_resolution,[status(thm)],[11619, 11618, 1428])).
% 14.69/9.90 tff(11621,plain,
% 14.69/9.90 ((~(v110(constB78) <=> v108(constB77))) | v110(constB78) | (~v108(constB77))),
% 14.69/9.90 inference(tautology,[status(thm)],[])).
% 14.69/9.90 tff(11622,plain,
% 14.69/9.90 (v110(constB78)),
% 14.69/9.90 inference(unit_resolution,[status(thm)],[11621, 11620, 1426])).
% 14.69/9.90 tff(11623,plain,
% 14.69/9.90 ((~((~v101(constB78)) | (~v110(constB78)))) | (~v101(constB78)) | (~v110(constB78))),
% 14.69/9.90 inference(tautology,[status(thm)],[])).
% 14.69/9.90 tff(11624,plain,
% 14.69/9.90 (~((~v101(constB78)) | (~v110(constB78)))),
% 14.69/9.90 inference(unit_resolution,[status(thm)],[11623, 11622, 1422])).
% 14.69/9.90 tff(11625,plain,
% 14.69/9.90 ((~(v100(constB78) <=> (~((~v101(constB78)) | (~v110(constB78)))))) | v100(constB78) | ((~v101(constB78)) | (~v110(constB78)))),
% 14.69/9.90 inference(tautology,[status(thm)],[])).
% 14.69/9.90 tff(11626,plain,
% 14.69/9.90 (v100(constB78)),
% 14.69/9.90 inference(unit_resolution,[status(thm)],[11625, 11624, 1391])).
% 14.69/9.90 tff(11627,plain,
% 14.69/9.90 (((~![VarNext: $i] : ((~v100(VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v129(VarNext, B))))) | ((~v100(constB78)) | ![B: $i] : ((~less_3(B)) | (v90(constB78, B) <=> v129(constB78, B))))) <=> ((~![VarNext: $i] : ((~v100(VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v129(VarNext, B))))) | (~v100(constB78)) | ![B: $i] : ((~less_3(B)) | (v90(constB78, B) <=> v129(constB78, B))))),
% 14.69/9.90 inference(rewrite,[status(thm)],[])).
% 14.69/9.90 tff(11628,plain,
% 14.69/9.90 ((~![VarNext: $i] : ((~v100(VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v129(VarNext, B))))) | ((~v100(constB78)) | ![B: $i] : ((~less_3(B)) | (v90(constB78, B) <=> v129(constB78, B))))),
% 14.69/9.90 inference(quant_inst,[status(thm)],[])).
% 14.69/9.90 tff(11629,plain,
% 14.69/9.90 ((~![VarNext: $i] : ((~v100(VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v129(VarNext, B))))) | (~v100(constB78)) | ![B: $i] : ((~less_3(B)) | (v90(constB78, B) <=> v129(constB78, B)))),
% 14.69/9.90 inference(modus_ponens,[status(thm)],[11628, 11627])).
% 14.69/9.90 tff(11630,plain,
% 14.69/9.90 ((~v100(constB78)) | ![B: $i] : ((~less_3(B)) | (v90(constB78, B) <=> v129(constB78, B)))),
% 14.69/9.90 inference(unit_resolution,[status(thm)],[11629, 5134])).
% 14.69/9.90 tff(11631,plain,
% 14.69/9.90 (![B: $i] : ((~less_3(B)) | (v90(constB78, B) <=> v129(constB78, B)))),
% 14.69/9.90 inference(unit_resolution,[status(thm)],[11630, 11626])).
% 14.69/9.90 tff(11632,plain,
% 14.69/9.90 (((~![B: $i] : ((~less_3(B)) | (v90(constB78, B) <=> v129(constB78, B)))) | ((~less_3(bitIndex2)) | (v90(constB78, bitIndex2) <=> v129(constB78, bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v90(constB78, B) <=> v129(constB78, B)))) | (~less_3(bitIndex2)) | (v90(constB78, bitIndex2) <=> v129(constB78, bitIndex2)))),
% 14.69/9.90 inference(rewrite,[status(thm)],[])).
% 14.69/9.90 tff(11633,plain,
% 14.69/9.90 ((~![B: $i] : ((~less_3(B)) | (v90(constB78, B) <=> v129(constB78, B)))) | ((~less_3(bitIndex2)) | (v90(constB78, bitIndex2) <=> v129(constB78, bitIndex2)))),
% 14.69/9.90 inference(quant_inst,[status(thm)],[])).
% 14.69/9.90 tff(11634,plain,
% 14.69/9.90 ((~![B: $i] : ((~less_3(B)) | (v90(constB78, B) <=> v129(constB78, B)))) | (~less_3(bitIndex2)) | (v90(constB78, bitIndex2) <=> v129(constB78, bitIndex2))),
% 14.69/9.90 inference(modus_ponens,[status(thm)],[11633, 11632])).
% 14.69/9.90 tff(11635,plain,
% 14.69/9.90 (v90(constB78, bitIndex2) <=> v129(constB78, bitIndex2)),
% 14.69/9.90 inference(unit_resolution,[status(thm)],[11634, 413, 11631])).
% 14.69/9.90 tff(11636,plain,
% 14.69/9.90 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v129(VarNext, B) <=> v127(VarCurr, B))))) | ((~nextState(constB77, constB78)) | ![B: $i] : ((~less_3(B)) | (v129(constB78, B) <=> v127(constB77, B))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v129(VarNext, B) <=> v127(VarCurr, B))))) | (~nextState(constB77, constB78)) | ![B: $i] : ((~less_3(B)) | (v129(constB78, B) <=> v127(constB77, B))))),
% 14.69/9.90 inference(rewrite,[status(thm)],[])).
% 14.69/9.90 tff(11637,plain,
% 14.69/9.90 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v129(VarNext, B) <=> v127(VarCurr, B))))) | ((~nextState(constB77, constB78)) | ![B: $i] : ((~less_3(B)) | (v129(constB78, B) <=> v127(constB77, B))))),
% 14.69/9.90 inference(quant_inst,[status(thm)],[])).
% 14.69/9.90 tff(11638,plain,
% 14.69/9.90 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v129(VarNext, B) <=> v127(VarCurr, B))))) | (~nextState(constB77, constB78)) | ![B: $i] : ((~less_3(B)) | (v129(constB78, B) <=> v127(constB77, B)))),
% 14.69/9.90 inference(modus_ponens,[status(thm)],[11637, 11636])).
% 14.69/9.90 tff(11639,plain,
% 14.69/9.90 (![B: $i] : ((~less_3(B)) | (v129(constB78, B) <=> v127(constB77, B)))),
% 14.69/9.90 inference(unit_resolution,[status(thm)],[11638, 1387, 5156])).
% 14.69/9.90 tff(11640,plain,
% 14.69/9.90 (((~![B: $i] : ((~less_3(B)) | (v129(constB78, B) <=> v127(constB77, B)))) | ((~less_3(bitIndex2)) | (v129(constB78, bitIndex2) <=> v127(constB77, bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v129(constB78, B) <=> v127(constB77, B)))) | (~less_3(bitIndex2)) | (v129(constB78, bitIndex2) <=> v127(constB77, bitIndex2)))),
% 14.69/9.90 inference(rewrite,[status(thm)],[])).
% 14.69/9.90 tff(11641,plain,
% 14.69/9.90 ((~![B: $i] : ((~less_3(B)) | (v129(constB78, B) <=> v127(constB77, B)))) | ((~less_3(bitIndex2)) | (v129(constB78, bitIndex2) <=> v127(constB77, bitIndex2)))),
% 14.69/9.90 inference(quant_inst,[status(thm)],[])).
% 14.69/9.90 tff(11642,plain,
% 14.69/9.90 ((~![B: $i] : ((~less_3(B)) | (v129(constB78, B) <=> v127(constB77, B)))) | (~less_3(bitIndex2)) | (v129(constB78, bitIndex2) <=> v127(constB77, bitIndex2))),
% 14.69/9.90 inference(modus_ponens,[status(thm)],[11641, 11640])).
% 14.69/9.90 tff(11643,plain,
% 14.69/9.90 (v129(constB78, bitIndex2) <=> v127(constB77, bitIndex2)),
% 14.69/9.90 inference(unit_resolution,[status(thm)],[11642, 413, 11639])).
% 14.69/9.90 tff(11644,plain,
% 14.69/9.90 (((~![VarCurr: $i] : (v111(VarCurr) | ![B: $i] : ((~less_3(B)) | (v127(VarCurr, B) <=> v130(VarCurr, B))))) | (v111(constB77) | ![B: $i] : ((~less_3(B)) | (v127(constB77, B) <=> v130(constB77, B))))) <=> ((~![VarCurr: $i] : (v111(VarCurr) | ![B: $i] : ((~less_3(B)) | (v127(VarCurr, B) <=> v130(VarCurr, B))))) | v111(constB77) | ![B: $i] : ((~less_3(B)) | (v127(constB77, B) <=> v130(constB77, B))))),
% 14.69/9.90 inference(rewrite,[status(thm)],[])).
% 14.69/9.90 tff(11645,plain,
% 14.69/9.90 ((~![VarCurr: $i] : (v111(VarCurr) | ![B: $i] : ((~less_3(B)) | (v127(VarCurr, B) <=> v130(VarCurr, B))))) | (v111(constB77) | ![B: $i] : ((~less_3(B)) | (v127(constB77, B) <=> v130(constB77, B))))),
% 14.69/9.90 inference(quant_inst,[status(thm)],[])).
% 14.69/9.90 tff(11646,plain,
% 14.69/9.90 ((~![VarCurr: $i] : (v111(VarCurr) | ![B: $i] : ((~less_3(B)) | (v127(VarCurr, B) <=> v130(VarCurr, B))))) | v111(constB77) | ![B: $i] : ((~less_3(B)) | (v127(constB77, B) <=> v130(constB77, B)))),
% 14.69/9.90 inference(modus_ponens,[status(thm)],[11645, 11644])).
% 14.69/9.90 tff(11647,plain,
% 14.69/9.90 (![B: $i] : ((~less_3(B)) | (v127(constB77, B) <=> v130(constB77, B)))),
% 14.69/9.90 inference(unit_resolution,[status(thm)],[11646, 5177, 11608])).
% 14.69/9.90 tff(11648,plain,
% 14.69/9.90 (((~![B: $i] : ((~less_3(B)) | (v127(constB77, B) <=> v130(constB77, B)))) | ((~less_3(bitIndex2)) | (v127(constB77, bitIndex2) <=> v130(constB77, bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v127(constB77, B) <=> v130(constB77, B)))) | (~less_3(bitIndex2)) | (v127(constB77, bitIndex2) <=> v130(constB77, bitIndex2)))),
% 14.69/9.90 inference(rewrite,[status(thm)],[])).
% 14.69/9.90 tff(11649,plain,
% 14.69/9.90 ((~![B: $i] : ((~less_3(B)) | (v127(constB77, B) <=> v130(constB77, B)))) | ((~less_3(bitIndex2)) | (v127(constB77, bitIndex2) <=> v130(constB77, bitIndex2)))),
% 14.69/9.90 inference(quant_inst,[status(thm)],[])).
% 14.69/9.90 tff(11650,plain,
% 14.69/9.90 ((~![B: $i] : ((~less_3(B)) | (v127(constB77, B) <=> v130(constB77, B)))) | (~less_3(bitIndex2)) | (v127(constB77, bitIndex2) <=> v130(constB77, bitIndex2))),
% 14.69/9.91 inference(modus_ponens,[status(thm)],[11649, 11648])).
% 14.69/9.91 tff(11651,plain,
% 14.69/9.91 (v127(constB77, bitIndex2) <=> v130(constB77, bitIndex2)),
% 14.69/9.91 inference(unit_resolution,[status(thm)],[11650, 413, 11647])).
% 14.69/9.91 tff(11652,plain,
% 14.69/9.91 (((~![VarCurr: $i] : ((~v120(VarCurr)) | ![B: $i] : ((~less_3(B)) | (v130(VarCurr, B) <=> b010(B))))) | ((~v120(constB77)) | ![B: $i] : ((~less_3(B)) | (v130(constB77, B) <=> b010(B))))) <=> ((~![VarCurr: $i] : ((~v120(VarCurr)) | ![B: $i] : ((~less_3(B)) | (v130(VarCurr, B) <=> b010(B))))) | (~v120(constB77)) | ![B: $i] : ((~less_3(B)) | (v130(constB77, B) <=> b010(B))))),
% 14.69/9.91 inference(rewrite,[status(thm)],[])).
% 14.69/9.91 tff(11653,plain,
% 14.69/9.91 ((~![VarCurr: $i] : ((~v120(VarCurr)) | ![B: $i] : ((~less_3(B)) | (v130(VarCurr, B) <=> b010(B))))) | ((~v120(constB77)) | ![B: $i] : ((~less_3(B)) | (v130(constB77, B) <=> b010(B))))),
% 14.69/9.91 inference(quant_inst,[status(thm)],[])).
% 14.69/9.91 tff(11654,plain,
% 14.69/9.91 ((~![VarCurr: $i] : ((~v120(VarCurr)) | ![B: $i] : ((~less_3(B)) | (v130(VarCurr, B) <=> b010(B))))) | (~v120(constB77)) | ![B: $i] : ((~less_3(B)) | (v130(constB77, B) <=> b010(B)))),
% 14.69/9.91 inference(modus_ponens,[status(thm)],[11653, 11652])).
% 14.69/9.91 tff(11655,plain,
% 14.69/9.91 ((~v120(constB77)) | ![B: $i] : ((~less_3(B)) | (v130(constB77, B) <=> b010(B)))),
% 14.69/9.91 inference(unit_resolution,[status(thm)],[11654, 5797])).
% 14.69/9.91 tff(11656,plain,
% 14.69/9.91 (![B: $i] : ((~less_3(B)) | (v130(constB77, B) <=> b010(B)))),
% 14.69/9.91 inference(unit_resolution,[status(thm)],[11655, 11575])).
% 14.69/9.91 tff(11657,plain,
% 14.69/9.91 (((~![B: $i] : ((~less_3(B)) | (v130(constB77, B) <=> b010(B)))) | ((~less_3(bitIndex2)) | (v130(constB77, bitIndex2) <=> b010(bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v130(constB77, B) <=> b010(B)))) | (~less_3(bitIndex2)) | (v130(constB77, bitIndex2) <=> b010(bitIndex2)))),
% 14.69/9.91 inference(rewrite,[status(thm)],[])).
% 14.69/9.91 tff(11658,plain,
% 14.69/9.91 ((~![B: $i] : ((~less_3(B)) | (v130(constB77, B) <=> b010(B)))) | ((~less_3(bitIndex2)) | (v130(constB77, bitIndex2) <=> b010(bitIndex2)))),
% 14.69/9.91 inference(quant_inst,[status(thm)],[])).
% 14.69/9.91 tff(11659,plain,
% 14.69/9.91 ((~![B: $i] : ((~less_3(B)) | (v130(constB77, B) <=> b010(B)))) | (~less_3(bitIndex2)) | (v130(constB77, bitIndex2) <=> b010(bitIndex2))),
% 14.69/9.91 inference(modus_ponens,[status(thm)],[11658, 11657])).
% 14.69/9.91 tff(11660,plain,
% 14.69/9.91 (v130(constB77, bitIndex2) <=> b010(bitIndex2)),
% 14.69/9.91 inference(unit_resolution,[status(thm)],[11659, 413, 11656])).
% 14.69/9.91 tff(11661,plain,
% 14.69/9.91 ((~(v130(constB77, bitIndex2) <=> b010(bitIndex2))) | (~v130(constB77, bitIndex2)) | b010(bitIndex2)),
% 14.69/9.91 inference(tautology,[status(thm)],[])).
% 14.69/9.91 tff(11662,plain,
% 14.69/9.91 ((~(v130(constB77, bitIndex2) <=> b010(bitIndex2))) | (~v130(constB77, bitIndex2))),
% 14.69/9.91 inference(unit_resolution,[status(thm)],[11661, 5809])).
% 14.69/9.91 tff(11663,plain,
% 14.69/9.91 (~v130(constB77, bitIndex2)),
% 14.69/9.91 inference(unit_resolution,[status(thm)],[11662, 11660])).
% 14.69/9.91 tff(11664,plain,
% 14.69/9.91 ((~(v127(constB77, bitIndex2) <=> v130(constB77, bitIndex2))) | (~v127(constB77, bitIndex2)) | v130(constB77, bitIndex2)),
% 14.69/9.91 inference(tautology,[status(thm)],[])).
% 14.69/9.91 tff(11665,plain,
% 14.69/9.91 (~v127(constB77, bitIndex2)),
% 14.69/9.91 inference(unit_resolution,[status(thm)],[11664, 11663, 11651])).
% 14.69/9.91 tff(11666,plain,
% 14.69/9.91 ((~(v129(constB78, bitIndex2) <=> v127(constB77, bitIndex2))) | (~v129(constB78, bitIndex2)) | v127(constB77, bitIndex2)),
% 14.69/9.91 inference(tautology,[status(thm)],[])).
% 14.69/9.91 tff(11667,plain,
% 14.69/9.91 (~v129(constB78, bitIndex2)),
% 14.69/9.91 inference(unit_resolution,[status(thm)],[11666, 11665, 11643])).
% 14.69/9.91 tff(11668,plain,
% 14.69/9.91 ((~(v90(constB78, bitIndex2) <=> v129(constB78, bitIndex2))) | (~v90(constB78, bitIndex2)) | v129(constB78, bitIndex2)),
% 14.69/9.91 inference(tautology,[status(thm)],[])).
% 14.69/9.91 tff(11669,plain,
% 14.69/9.91 (~v90(constB78, bitIndex2)),
% 14.69/9.91 inference(unit_resolution,[status(thm)],[11668, 11667, 11635])).
% 14.69/9.91 tff(11670,plain,
% 14.69/9.91 ((~(v90(constB79, bitIndex2) <=> v90(constB78, bitIndex2))) | (~v90(constB79, bitIndex2)) | v90(constB78, bitIndex2)),
% 14.69/9.91 inference(tautology,[status(thm)],[])).
% 14.69/9.91 tff(11671,plain,
% 14.69/9.91 (~v90(constB79, bitIndex2)),
% 14.69/9.91 inference(unit_resolution,[status(thm)],[11670, 11669, 1384])).
% 14.69/9.91 tff(11672,plain,
% 14.69/9.91 (((~![B: $i] : ((~less_3(B)) | (v90(constB79, B) <=> v90(constB78, B)))) | ((~less_3(bitIndex0)) | (v90(constB79, bitIndex0) <=> v90(constB78, bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v90(constB79, B) <=> v90(constB78, B)))) | (~less_3(bitIndex0)) | (v90(constB79, bitIndex0) <=> v90(constB78, bitIndex0)))),
% 14.69/9.91 inference(rewrite,[status(thm)],[])).
% 14.69/9.91 tff(11673,plain,
% 14.69/9.91 ((~![B: $i] : ((~less_3(B)) | (v90(constB79, B) <=> v90(constB78, B)))) | ((~less_3(bitIndex0)) | (v90(constB79, bitIndex0) <=> v90(constB78, bitIndex0)))),
% 14.69/9.91 inference(quant_inst,[status(thm)],[])).
% 14.69/9.91 tff(11674,plain,
% 14.69/9.91 ((~![B: $i] : ((~less_3(B)) | (v90(constB79, B) <=> v90(constB78, B)))) | (~less_3(bitIndex0)) | (v90(constB79, bitIndex0) <=> v90(constB78, bitIndex0))),
% 14.69/9.91 inference(modus_ponens,[status(thm)],[11673, 11672])).
% 14.69/9.91 tff(11675,plain,
% 14.69/9.91 (v90(constB79, bitIndex0) <=> v90(constB78, bitIndex0)),
% 14.69/9.91 inference(unit_resolution,[status(thm)],[11674, 5004, 1380])).
% 14.69/9.91 tff(11676,plain,
% 14.69/9.91 (((~![B: $i] : ((~less_3(B)) | (v90(constB78, B) <=> v129(constB78, B)))) | ((~less_3(bitIndex0)) | (v90(constB78, bitIndex0) <=> v129(constB78, bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v90(constB78, B) <=> v129(constB78, B)))) | (~less_3(bitIndex0)) | (v90(constB78, bitIndex0) <=> v129(constB78, bitIndex0)))),
% 14.69/9.91 inference(rewrite,[status(thm)],[])).
% 14.69/9.91 tff(11677,plain,
% 14.69/9.91 ((~![B: $i] : ((~less_3(B)) | (v90(constB78, B) <=> v129(constB78, B)))) | ((~less_3(bitIndex0)) | (v90(constB78, bitIndex0) <=> v129(constB78, bitIndex0)))),
% 14.69/9.91 inference(quant_inst,[status(thm)],[])).
% 14.69/9.91 tff(11678,plain,
% 14.69/9.91 ((~![B: $i] : ((~less_3(B)) | (v90(constB78, B) <=> v129(constB78, B)))) | (~less_3(bitIndex0)) | (v90(constB78, bitIndex0) <=> v129(constB78, bitIndex0))),
% 14.69/9.91 inference(modus_ponens,[status(thm)],[11677, 11676])).
% 14.69/9.91 tff(11679,plain,
% 14.69/9.91 (v90(constB78, bitIndex0) <=> v129(constB78, bitIndex0)),
% 14.69/9.91 inference(unit_resolution,[status(thm)],[11678, 5004, 11631])).
% 14.69/9.91 tff(11680,plain,
% 14.69/9.91 (((~![B: $i] : ((~less_3(B)) | (v129(constB78, B) <=> v127(constB77, B)))) | ((~less_3(bitIndex0)) | (v129(constB78, bitIndex0) <=> v127(constB77, bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v129(constB78, B) <=> v127(constB77, B)))) | (~less_3(bitIndex0)) | (v129(constB78, bitIndex0) <=> v127(constB77, bitIndex0)))),
% 14.69/9.91 inference(rewrite,[status(thm)],[])).
% 14.69/9.91 tff(11681,plain,
% 14.69/9.91 ((~![B: $i] : ((~less_3(B)) | (v129(constB78, B) <=> v127(constB77, B)))) | ((~less_3(bitIndex0)) | (v129(constB78, bitIndex0) <=> v127(constB77, bitIndex0)))),
% 14.69/9.91 inference(quant_inst,[status(thm)],[])).
% 14.69/9.91 tff(11682,plain,
% 14.69/9.91 ((~![B: $i] : ((~less_3(B)) | (v129(constB78, B) <=> v127(constB77, B)))) | (~less_3(bitIndex0)) | (v129(constB78, bitIndex0) <=> v127(constB77, bitIndex0))),
% 14.69/9.91 inference(modus_ponens,[status(thm)],[11681, 11680])).
% 14.69/9.91 tff(11683,plain,
% 14.69/9.91 (v129(constB78, bitIndex0) <=> v127(constB77, bitIndex0)),
% 14.69/9.91 inference(unit_resolution,[status(thm)],[11682, 5004, 11639])).
% 14.69/9.91 tff(11684,plain,
% 14.69/9.91 (((~![B: $i] : ((~less_3(B)) | (v127(constB77, B) <=> v130(constB77, B)))) | ((~less_3(bitIndex0)) | (v127(constB77, bitIndex0) <=> v130(constB77, bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v127(constB77, B) <=> v130(constB77, B)))) | (~less_3(bitIndex0)) | (v127(constB77, bitIndex0) <=> v130(constB77, bitIndex0)))),
% 14.69/9.91 inference(rewrite,[status(thm)],[])).
% 14.69/9.91 tff(11685,plain,
% 14.69/9.91 ((~![B: $i] : ((~less_3(B)) | (v127(constB77, B) <=> v130(constB77, B)))) | ((~less_3(bitIndex0)) | (v127(constB77, bitIndex0) <=> v130(constB77, bitIndex0)))),
% 14.69/9.91 inference(quant_inst,[status(thm)],[])).
% 14.69/9.91 tff(11686,plain,
% 14.69/9.91 ((~![B: $i] : ((~less_3(B)) | (v127(constB77, B) <=> v130(constB77, B)))) | (~less_3(bitIndex0)) | (v127(constB77, bitIndex0) <=> v130(constB77, bitIndex0))),
% 14.69/9.91 inference(modus_ponens,[status(thm)],[11685, 11684])).
% 14.69/9.91 tff(11687,plain,
% 14.69/9.91 (v127(constB77, bitIndex0) <=> v130(constB77, bitIndex0)),
% 14.69/9.91 inference(unit_resolution,[status(thm)],[11686, 5004, 11647])).
% 14.69/9.91 tff(11688,plain,
% 14.69/9.91 (((~![B: $i] : ((~less_3(B)) | (v130(constB77, B) <=> b010(B)))) | ((~less_3(bitIndex0)) | (v130(constB77, bitIndex0) <=> b010(bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v130(constB77, B) <=> b010(B)))) | (~less_3(bitIndex0)) | (v130(constB77, bitIndex0) <=> b010(bitIndex0)))),
% 14.69/9.91 inference(rewrite,[status(thm)],[])).
% 14.69/9.91 tff(11689,plain,
% 14.69/9.91 ((~![B: $i] : ((~less_3(B)) | (v130(constB77, B) <=> b010(B)))) | ((~less_3(bitIndex0)) | (v130(constB77, bitIndex0) <=> b010(bitIndex0)))),
% 14.69/9.91 inference(quant_inst,[status(thm)],[])).
% 14.69/9.91 tff(11690,plain,
% 14.69/9.91 ((~![B: $i] : ((~less_3(B)) | (v130(constB77, B) <=> b010(B)))) | (~less_3(bitIndex0)) | (v130(constB77, bitIndex0) <=> b010(bitIndex0))),
% 14.69/9.91 inference(modus_ponens,[status(thm)],[11689, 11688])).
% 14.69/9.91 tff(11691,plain,
% 14.69/9.91 (v130(constB77, bitIndex0) <=> b010(bitIndex0)),
% 14.69/9.91 inference(unit_resolution,[status(thm)],[11690, 5004, 11656])).
% 14.69/9.91 tff(11692,plain,
% 14.69/9.91 ((~(v130(constB77, bitIndex0) <=> b010(bitIndex0))) | (~v130(constB77, bitIndex0)) | b010(bitIndex0)),
% 14.69/9.91 inference(tautology,[status(thm)],[])).
% 14.69/9.91 tff(11693,plain,
% 14.69/9.91 ((~(v130(constB77, bitIndex0) <=> b010(bitIndex0))) | (~v130(constB77, bitIndex0))),
% 14.69/9.91 inference(unit_resolution,[status(thm)],[11692, 5843])).
% 14.69/9.91 tff(11694,plain,
% 14.69/9.91 (~v130(constB77, bitIndex0)),
% 14.69/9.91 inference(unit_resolution,[status(thm)],[11693, 11691])).
% 14.69/9.91 tff(11695,plain,
% 14.69/9.91 ((~(v127(constB77, bitIndex0) <=> v130(constB77, bitIndex0))) | (~v127(constB77, bitIndex0)) | v130(constB77, bitIndex0)),
% 14.69/9.91 inference(tautology,[status(thm)],[])).
% 14.69/9.91 tff(11696,plain,
% 14.69/9.91 (~v127(constB77, bitIndex0)),
% 14.69/9.91 inference(unit_resolution,[status(thm)],[11695, 11694, 11687])).
% 14.69/9.91 tff(11697,plain,
% 14.69/9.91 ((~(v129(constB78, bitIndex0) <=> v127(constB77, bitIndex0))) | (~v129(constB78, bitIndex0)) | v127(constB77, bitIndex0)),
% 14.69/9.91 inference(tautology,[status(thm)],[])).
% 14.69/9.91 tff(11698,plain,
% 14.69/9.91 (~v129(constB78, bitIndex0)),
% 14.69/9.91 inference(unit_resolution,[status(thm)],[11697, 11696, 11683])).
% 14.69/9.91 tff(11699,plain,
% 14.69/9.91 ((~(v90(constB78, bitIndex0) <=> v129(constB78, bitIndex0))) | (~v90(constB78, bitIndex0)) | v129(constB78, bitIndex0)),
% 14.69/9.91 inference(tautology,[status(thm)],[])).
% 14.69/9.91 tff(11700,plain,
% 14.69/9.91 (~v90(constB78, bitIndex0)),
% 14.69/9.91 inference(unit_resolution,[status(thm)],[11699, 11698, 11679])).
% 14.69/9.91 tff(11701,plain,
% 14.69/9.91 ((~(v90(constB79, bitIndex0) <=> v90(constB78, bitIndex0))) | (~v90(constB79, bitIndex0)) | v90(constB78, bitIndex0)),
% 14.69/9.91 inference(tautology,[status(thm)],[])).
% 14.69/9.91 tff(11702,plain,
% 14.69/9.91 (~v90(constB79, bitIndex0)),
% 14.69/9.91 inference(unit_resolution,[status(thm)],[11701, 11700, 11675])).
% 14.69/9.91 tff(11703,plain,
% 14.69/9.91 (((~![B: $i] : ((~less_3(B)) | (v90(constB79, B) <=> v90(constB78, B)))) | ((~less_3(bitIndex1)) | (v90(constB79, bitIndex1) <=> v90(constB78, bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v90(constB79, B) <=> v90(constB78, B)))) | (~less_3(bitIndex1)) | (v90(constB79, bitIndex1) <=> v90(constB78, bitIndex1)))),
% 14.69/9.91 inference(rewrite,[status(thm)],[])).
% 14.69/9.91 tff(11704,plain,
% 14.69/9.91 ((~![B: $i] : ((~less_3(B)) | (v90(constB79, B) <=> v90(constB78, B)))) | ((~less_3(bitIndex1)) | (v90(constB79, bitIndex1) <=> v90(constB78, bitIndex1)))),
% 14.69/9.91 inference(quant_inst,[status(thm)],[])).
% 14.69/9.91 tff(11705,plain,
% 14.69/9.91 ((~![B: $i] : ((~less_3(B)) | (v90(constB79, B) <=> v90(constB78, B)))) | (~less_3(bitIndex1)) | (v90(constB79, bitIndex1) <=> v90(constB78, bitIndex1))),
% 14.69/9.91 inference(modus_ponens,[status(thm)],[11704, 11703])).
% 14.69/9.91 tff(11706,plain,
% 14.69/9.91 (v90(constB79, bitIndex1) <=> v90(constB78, bitIndex1)),
% 14.69/9.91 inference(unit_resolution,[status(thm)],[11705, 5017, 1380])).
% 14.69/9.91 tff(11707,plain,
% 14.69/9.91 (((~![B: $i] : ((~less_3(B)) | (v90(constB78, B) <=> v129(constB78, B)))) | ((~less_3(bitIndex1)) | (v90(constB78, bitIndex1) <=> v129(constB78, bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v90(constB78, B) <=> v129(constB78, B)))) | (~less_3(bitIndex1)) | (v90(constB78, bitIndex1) <=> v129(constB78, bitIndex1)))),
% 14.69/9.91 inference(rewrite,[status(thm)],[])).
% 14.69/9.91 tff(11708,plain,
% 14.69/9.91 ((~![B: $i] : ((~less_3(B)) | (v90(constB78, B) <=> v129(constB78, B)))) | ((~less_3(bitIndex1)) | (v90(constB78, bitIndex1) <=> v129(constB78, bitIndex1)))),
% 14.69/9.91 inference(quant_inst,[status(thm)],[])).
% 14.69/9.92 tff(11709,plain,
% 14.69/9.92 ((~![B: $i] : ((~less_3(B)) | (v90(constB78, B) <=> v129(constB78, B)))) | (~less_3(bitIndex1)) | (v90(constB78, bitIndex1) <=> v129(constB78, bitIndex1))),
% 14.69/9.92 inference(modus_ponens,[status(thm)],[11708, 11707])).
% 14.69/9.92 tff(11710,plain,
% 14.69/9.92 (v90(constB78, bitIndex1) <=> v129(constB78, bitIndex1)),
% 14.69/9.92 inference(unit_resolution,[status(thm)],[11709, 5017, 11631])).
% 14.69/9.92 tff(11711,plain,
% 14.69/9.92 (((~![B: $i] : ((~less_3(B)) | (v129(constB78, B) <=> v127(constB77, B)))) | ((~less_3(bitIndex1)) | (v129(constB78, bitIndex1) <=> v127(constB77, bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v129(constB78, B) <=> v127(constB77, B)))) | (~less_3(bitIndex1)) | (v129(constB78, bitIndex1) <=> v127(constB77, bitIndex1)))),
% 14.69/9.92 inference(rewrite,[status(thm)],[])).
% 14.69/9.92 tff(11712,plain,
% 14.69/9.92 ((~![B: $i] : ((~less_3(B)) | (v129(constB78, B) <=> v127(constB77, B)))) | ((~less_3(bitIndex1)) | (v129(constB78, bitIndex1) <=> v127(constB77, bitIndex1)))),
% 14.69/9.92 inference(quant_inst,[status(thm)],[])).
% 14.69/9.92 tff(11713,plain,
% 14.69/9.92 ((~![B: $i] : ((~less_3(B)) | (v129(constB78, B) <=> v127(constB77, B)))) | (~less_3(bitIndex1)) | (v129(constB78, bitIndex1) <=> v127(constB77, bitIndex1))),
% 14.69/9.92 inference(modus_ponens,[status(thm)],[11712, 11711])).
% 14.69/9.92 tff(11714,plain,
% 14.69/9.92 (v129(constB78, bitIndex1) <=> v127(constB77, bitIndex1)),
% 14.69/9.92 inference(unit_resolution,[status(thm)],[11713, 5017, 11639])).
% 14.69/9.92 tff(11715,plain,
% 14.69/9.92 (((~![B: $i] : ((~less_3(B)) | (v127(constB77, B) <=> v130(constB77, B)))) | ((~less_3(bitIndex1)) | (v127(constB77, bitIndex1) <=> v130(constB77, bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v127(constB77, B) <=> v130(constB77, B)))) | (~less_3(bitIndex1)) | (v127(constB77, bitIndex1) <=> v130(constB77, bitIndex1)))),
% 14.69/9.92 inference(rewrite,[status(thm)],[])).
% 14.69/9.92 tff(11716,plain,
% 14.69/9.92 ((~![B: $i] : ((~less_3(B)) | (v127(constB77, B) <=> v130(constB77, B)))) | ((~less_3(bitIndex1)) | (v127(constB77, bitIndex1) <=> v130(constB77, bitIndex1)))),
% 14.69/9.92 inference(quant_inst,[status(thm)],[])).
% 14.69/9.92 tff(11717,plain,
% 14.69/9.92 ((~![B: $i] : ((~less_3(B)) | (v127(constB77, B) <=> v130(constB77, B)))) | (~less_3(bitIndex1)) | (v127(constB77, bitIndex1) <=> v130(constB77, bitIndex1))),
% 14.69/9.92 inference(modus_ponens,[status(thm)],[11716, 11715])).
% 14.69/9.92 tff(11718,plain,
% 14.69/9.92 (v127(constB77, bitIndex1) <=> v130(constB77, bitIndex1)),
% 14.69/9.92 inference(unit_resolution,[status(thm)],[11717, 5017, 11647])).
% 14.69/9.92 tff(11719,plain,
% 14.69/9.92 (((~![B: $i] : ((~less_3(B)) | (v130(constB77, B) <=> b010(B)))) | ((~less_3(bitIndex1)) | (v130(constB77, bitIndex1) <=> b010(bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v130(constB77, B) <=> b010(B)))) | (~less_3(bitIndex1)) | (v130(constB77, bitIndex1) <=> b010(bitIndex1)))),
% 14.69/9.92 inference(rewrite,[status(thm)],[])).
% 14.69/9.92 tff(11720,plain,
% 14.69/9.92 ((~![B: $i] : ((~less_3(B)) | (v130(constB77, B) <=> b010(B)))) | ((~less_3(bitIndex1)) | (v130(constB77, bitIndex1) <=> b010(bitIndex1)))),
% 14.69/9.92 inference(quant_inst,[status(thm)],[])).
% 14.69/9.92 tff(11721,plain,
% 14.69/9.92 ((~![B: $i] : ((~less_3(B)) | (v130(constB77, B) <=> b010(B)))) | (~less_3(bitIndex1)) | (v130(constB77, bitIndex1) <=> b010(bitIndex1))),
% 14.69/9.92 inference(modus_ponens,[status(thm)],[11720, 11719])).
% 14.69/9.92 tff(11722,plain,
% 14.69/9.92 (v130(constB77, bitIndex1) <=> b010(bitIndex1)),
% 14.69/9.92 inference(unit_resolution,[status(thm)],[11721, 5017, 11656])).
% 14.69/9.92 tff(11723,plain,
% 14.69/9.92 ((~(v130(constB77, bitIndex1) <=> b010(bitIndex1))) | v130(constB77, bitIndex1) | (~b010(bitIndex1))),
% 14.69/9.92 inference(tautology,[status(thm)],[])).
% 14.69/9.92 tff(11724,plain,
% 14.69/9.92 ((~(v130(constB77, bitIndex1) <=> b010(bitIndex1))) | v130(constB77, bitIndex1)),
% 14.69/9.92 inference(unit_resolution,[status(thm)],[11723, 5877])).
% 14.69/9.92 tff(11725,plain,
% 14.69/9.92 (v130(constB77, bitIndex1)),
% 14.69/9.92 inference(unit_resolution,[status(thm)],[11724, 11722])).
% 14.69/9.92 tff(11726,plain,
% 14.69/9.92 ((~(v127(constB77, bitIndex1) <=> v130(constB77, bitIndex1))) | v127(constB77, bitIndex1) | (~v130(constB77, bitIndex1))),
% 14.69/9.92 inference(tautology,[status(thm)],[])).
% 14.69/9.92 tff(11727,plain,
% 14.69/9.92 (v127(constB77, bitIndex1)),
% 14.69/9.92 inference(unit_resolution,[status(thm)],[11726, 11725, 11718])).
% 14.69/9.92 tff(11728,plain,
% 14.69/9.92 ((~(v129(constB78, bitIndex1) <=> v127(constB77, bitIndex1))) | v129(constB78, bitIndex1) | (~v127(constB77, bitIndex1))),
% 14.69/9.92 inference(tautology,[status(thm)],[])).
% 14.69/9.92 tff(11729,plain,
% 14.69/9.92 (v129(constB78, bitIndex1)),
% 14.69/9.92 inference(unit_resolution,[status(thm)],[11728, 11727, 11714])).
% 14.69/9.92 tff(11730,plain,
% 14.69/9.92 ((~(v90(constB78, bitIndex1) <=> v129(constB78, bitIndex1))) | v90(constB78, bitIndex1) | (~v129(constB78, bitIndex1))),
% 14.69/9.92 inference(tautology,[status(thm)],[])).
% 14.69/9.92 tff(11731,plain,
% 14.69/9.92 (v90(constB78, bitIndex1)),
% 14.69/9.92 inference(unit_resolution,[status(thm)],[11730, 11729, 11710])).
% 14.69/9.92 tff(11732,plain,
% 14.69/9.92 ((~(v90(constB79, bitIndex1) <=> v90(constB78, bitIndex1))) | v90(constB79, bitIndex1) | (~v90(constB78, bitIndex1))),
% 14.69/9.92 inference(tautology,[status(thm)],[])).
% 14.69/9.92 tff(11733,plain,
% 14.69/9.92 (v90(constB79, bitIndex1)),
% 14.69/9.92 inference(unit_resolution,[status(thm)],[11732, 11731, 11706])).
% 14.69/9.92 tff(11734,plain,
% 14.69/9.92 ((~(v90(constB79, bitIndex2) | (~v90(constB79, bitIndex1)) | v90(constB79, bitIndex0))) | v90(constB79, bitIndex2) | (~v90(constB79, bitIndex1)) | v90(constB79, bitIndex0)),
% 14.69/9.92 inference(tautology,[status(thm)],[])).
% 14.69/9.92 tff(11735,plain,
% 14.69/9.92 (~(v90(constB79, bitIndex2) | (~v90(constB79, bitIndex1)) | v90(constB79, bitIndex0))),
% 14.69/9.92 inference(unit_resolution,[status(thm)],[11734, 11733, 11702, 11671])).
% 14.69/9.92 tff(11736,plain,
% 14.69/9.92 ((~(v121(constB79) <=> (~(v90(constB79, bitIndex2) | (~v90(constB79, bitIndex1)) | v90(constB79, bitIndex0))))) | v121(constB79) | (v90(constB79, bitIndex2) | (~v90(constB79, bitIndex1)) | v90(constB79, bitIndex0))),
% 14.69/9.92 inference(tautology,[status(thm)],[])).
% 14.69/9.92 tff(11737,plain,
% 14.69/9.92 (v121(constB79)),
% 14.69/9.92 inference(unit_resolution,[status(thm)],[11736, 11735, 1352])).
% 14.69/9.92 tff(11738,plain,
% 14.69/9.92 ((v118(constB79) | v121(constB79)) | (~v121(constB79))),
% 14.69/9.92 inference(tautology,[status(thm)],[])).
% 14.69/9.92 tff(11739,plain,
% 14.69/9.92 (v118(constB79) | v121(constB79)),
% 14.69/9.92 inference(unit_resolution,[status(thm)],[11738, 11737])).
% 14.69/9.92 tff(11740,plain,
% 14.69/9.92 ((~(v117(constB79) <=> (v118(constB79) | v121(constB79)))) | v117(constB79) | (~(v118(constB79) | v121(constB79)))),
% 14.69/9.92 inference(tautology,[status(thm)],[])).
% 14.69/9.92 tff(11741,plain,
% 14.69/9.92 (v117(constB79)),
% 14.69/9.92 inference(unit_resolution,[status(thm)],[11740, 11739, 1345])).
% 14.69/9.92 tff(11742,plain,
% 14.69/9.92 ((v117(constB79) | v122(constB79)) | (~v117(constB79))),
% 14.69/9.92 inference(tautology,[status(thm)],[])).
% 14.69/9.92 tff(11743,plain,
% 14.69/9.92 (v117(constB79) | v122(constB79)),
% 14.69/9.92 inference(unit_resolution,[status(thm)],[11742, 11741])).
% 14.69/9.92 tff(11744,plain,
% 14.69/9.92 ((~(v116(constB79) <=> (v117(constB79) | v122(constB79)))) | v116(constB79) | (~(v117(constB79) | v122(constB79)))),
% 14.69/9.92 inference(tautology,[status(thm)],[])).
% 14.69/9.92 tff(11745,plain,
% 14.69/9.92 (v116(constB79)),
% 14.69/9.92 inference(unit_resolution,[status(thm)],[11744, 11743, 1343])).
% 14.69/9.92 tff(11746,plain,
% 14.69/9.92 ((v116(constB79) | v123(constB79)) | (~v116(constB79))),
% 14.69/9.92 inference(tautology,[status(thm)],[])).
% 14.69/9.92 tff(11747,plain,
% 14.69/9.92 (v116(constB79) | v123(constB79)),
% 14.69/9.92 inference(unit_resolution,[status(thm)],[11746, 11745])).
% 14.69/9.92 tff(11748,plain,
% 14.69/9.92 ((~(v115(constB79) <=> (v116(constB79) | v123(constB79)))) | v115(constB79) | (~(v116(constB79) | v123(constB79)))),
% 14.69/9.92 inference(tautology,[status(thm)],[])).
% 14.69/9.92 tff(11749,plain,
% 14.69/9.92 (v115(constB79)),
% 14.69/9.92 inference(unit_resolution,[status(thm)],[11748, 11747, 1341])).
% 14.69/9.92 tff(11750,plain,
% 14.69/9.92 ((v115(constB79) | v124(constB79)) | (~v115(constB79))),
% 14.69/9.92 inference(tautology,[status(thm)],[])).
% 14.69/9.92 tff(11751,plain,
% 14.69/9.92 (v115(constB79) | v124(constB79)),
% 14.69/9.92 inference(unit_resolution,[status(thm)],[11750, 11749])).
% 14.69/9.92 tff(11752,plain,
% 14.69/9.92 ((~(v114(constB79) <=> (v115(constB79) | v124(constB79)))) | v114(constB79) | (~(v115(constB79) | v124(constB79)))),
% 14.69/9.92 inference(tautology,[status(thm)],[])).
% 14.69/9.92 tff(11753,plain,
% 14.69/9.92 (v114(constB79)),
% 14.69/9.92 inference(unit_resolution,[status(thm)],[11752, 11751, 1339])).
% 14.69/9.92 tff(11754,plain,
% 14.69/9.92 ((v114(constB79) | v125(constB79)) | (~v114(constB79))),
% 14.69/9.92 inference(tautology,[status(thm)],[])).
% 14.69/9.92 tff(11755,plain,
% 14.69/9.92 (v114(constB79) | v125(constB79)),
% 14.69/9.92 inference(unit_resolution,[status(thm)],[11754, 11753])).
% 14.69/9.92 tff(11756,plain,
% 14.69/9.92 ((~(v113(constB79) <=> (v114(constB79) | v125(constB79)))) | v113(constB79) | (~(v114(constB79) | v125(constB79)))),
% 14.69/9.92 inference(tautology,[status(thm)],[])).
% 14.69/9.92 tff(11757,plain,
% 14.69/9.92 (v113(constB79)),
% 14.69/9.92 inference(unit_resolution,[status(thm)],[11756, 11755, 1337])).
% 14.69/9.92 tff(11758,plain,
% 14.69/9.92 ((~![VarCurr: $i] : ((~v126(VarCurr)) <=> v111(VarCurr))) | ((~v126(constB79)) <=> v111(constB79))),
% 14.69/9.92 inference(quant_inst,[status(thm)],[])).
% 14.69/9.92 tff(11759,plain,
% 14.69/9.92 ((~v126(constB79)) <=> v111(constB79)),
% 14.69/9.92 inference(unit_resolution,[status(thm)],[11758, 5074])).
% 14.69/9.92 tff(11760,plain,
% 14.69/9.92 ((~![VarCurr: $i] : (v111(VarCurr) <=> v26(VarCurr))) | (v111(constB79) <=> v26(constB79))),
% 14.69/9.92 inference(quant_inst,[status(thm)],[])).
% 14.69/9.92 tff(11761,plain,
% 14.69/9.92 (v111(constB79) <=> v26(constB79)),
% 14.69/9.92 inference(unit_resolution,[status(thm)],[11760, 5086])).
% 14.69/9.92 tff(11762,plain,
% 14.69/9.92 ((~![VarCurr: $i] : (~v26(VarCurr))) | (~v26(constB79))),
% 14.69/9.92 inference(quant_inst,[status(thm)],[])).
% 14.69/9.92 tff(11763,plain,
% 14.69/9.92 (~v26(constB79)),
% 14.69/9.92 inference(unit_resolution,[status(thm)],[11762, 5098])).
% 14.69/9.92 tff(11764,plain,
% 14.69/9.92 ((~(v111(constB79) <=> v26(constB79))) | (~v111(constB79)) | v26(constB79)),
% 14.69/9.92 inference(tautology,[status(thm)],[])).
% 14.69/9.92 tff(11765,plain,
% 14.69/9.92 ((~(v111(constB79) <=> v26(constB79))) | (~v111(constB79))),
% 14.69/9.92 inference(unit_resolution,[status(thm)],[11764, 11763])).
% 14.69/9.92 tff(11766,plain,
% 14.69/9.92 (~v111(constB79)),
% 14.69/9.92 inference(unit_resolution,[status(thm)],[11765, 11761])).
% 14.69/9.92 tff(11767,plain,
% 14.69/9.92 ((~((~v126(constB79)) <=> v111(constB79))) | v126(constB79) | v111(constB79)),
% 14.69/9.92 inference(tautology,[status(thm)],[])).
% 14.69/9.92 tff(11768,plain,
% 14.69/9.92 ((~((~v126(constB79)) <=> v111(constB79))) | v126(constB79)),
% 14.69/9.92 inference(unit_resolution,[status(thm)],[11767, 11766])).
% 14.69/9.92 tff(11769,plain,
% 14.69/9.92 (v126(constB79)),
% 14.69/9.92 inference(unit_resolution,[status(thm)],[11768, 11759])).
% 14.69/9.92 tff(11770,plain,
% 14.69/9.92 ((~((~v113(constB79)) | (~v126(constB79)))) | (~v113(constB79)) | (~v126(constB79))),
% 14.69/9.92 inference(tautology,[status(thm)],[])).
% 14.69/9.92 tff(11771,plain,
% 14.69/9.92 ((~((~v113(constB79)) | (~v126(constB79)))) | (~v113(constB79))),
% 14.69/9.92 inference(unit_resolution,[status(thm)],[11770, 11769])).
% 14.69/9.92 tff(11772,plain,
% 14.69/9.92 (~((~v113(constB79)) | (~v126(constB79)))),
% 14.69/9.92 inference(unit_resolution,[status(thm)],[11771, 11757])).
% 14.69/9.92 tff(11773,plain,
% 14.69/9.92 ((~(v112(constB79) <=> (~((~v113(constB79)) | (~v126(constB79)))))) | v112(constB79) | ((~v113(constB79)) | (~v126(constB79)))),
% 14.69/9.92 inference(tautology,[status(thm)],[])).
% 14.69/9.92 tff(11774,plain,
% 14.69/9.92 (v112(constB79)),
% 14.69/9.92 inference(unit_resolution,[status(thm)],[11773, 11772, 1335])).
% 14.69/9.92 tff(11775,plain,
% 14.69/9.92 ((v111(constB79) | v112(constB79)) | (~v112(constB79))),
% 14.69/9.92 inference(tautology,[status(thm)],[])).
% 14.69/9.92 tff(11776,plain,
% 14.69/9.92 (v111(constB79) | v112(constB79)),
% 14.69/9.92 inference(unit_resolution,[status(thm)],[11775, 11774])).
% 14.69/9.92 tff(11777,plain,
% 14.69/9.92 ((~(v108(constB79) <=> (v111(constB79) | v112(constB79)))) | v108(constB79) | (~(v111(constB79) | v112(constB79)))),
% 14.69/9.92 inference(tautology,[status(thm)],[])).
% 14.69/9.92 tff(11778,plain,
% 14.69/9.92 (v108(constB79)),
% 14.69/9.92 inference(unit_resolution,[status(thm)],[11777, 11776, 1333])).
% 14.69/9.92 tff(11779,plain,
% 14.69/9.92 ((~(v110(constB80) <=> v108(constB79))) | v110(constB80) | (~v108(constB79))),
% 14.69/9.92 inference(tautology,[status(thm)],[])).
% 14.69/9.92 tff(11780,plain,
% 14.69/9.92 (v110(constB80)),
% 14.69/9.92 inference(unit_resolution,[status(thm)],[11779, 11778, 1331])).
% 14.69/9.92 tff(11781,plain,
% 14.69/9.92 ((~((~v101(constB80)) | (~v110(constB80)))) | (~v101(constB80)) | (~v110(constB80))),
% 14.69/9.92 inference(tautology,[status(thm)],[])).
% 14.69/9.92 tff(11782,plain,
% 14.69/9.92 (~((~v101(constB80)) | (~v110(constB80)))),
% 14.69/9.92 inference(unit_resolution,[status(thm)],[11781, 11780, 1327])).
% 14.69/9.92 tff(11783,plain,
% 14.69/9.92 ((~(v100(constB80) <=> (~((~v101(constB80)) | (~v110(constB80)))))) | v100(constB80) | ((~v101(constB80)) | (~v110(constB80)))),
% 14.69/9.92 inference(tautology,[status(thm)],[])).
% 14.69/9.92 tff(11784,plain,
% 14.69/9.92 (v100(constB80)),
% 14.69/9.92 inference(unit_resolution,[status(thm)],[11783, 11782, 1296])).
% 14.69/9.92 tff(11785,plain,
% 14.69/9.92 (((~![VarNext: $i] : ((~v100(VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v129(VarNext, B))))) | ((~v100(constB80)) | ![B: $i] : ((~less_3(B)) | (v90(constB80, B) <=> v129(constB80, B))))) <=> ((~![VarNext: $i] : ((~v100(VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v129(VarNext, B))))) | (~v100(constB80)) | ![B: $i] : ((~less_3(B)) | (v90(constB80, B) <=> v129(constB80, B))))),
% 14.69/9.92 inference(rewrite,[status(thm)],[])).
% 14.69/9.92 tff(11786,plain,
% 14.69/9.92 ((~![VarNext: $i] : ((~v100(VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v129(VarNext, B))))) | ((~v100(constB80)) | ![B: $i] : ((~less_3(B)) | (v90(constB80, B) <=> v129(constB80, B))))),
% 14.69/9.92 inference(quant_inst,[status(thm)],[])).
% 14.69/9.92 tff(11787,plain,
% 14.69/9.92 ((~![VarNext: $i] : ((~v100(VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v129(VarNext, B))))) | (~v100(constB80)) | ![B: $i] : ((~less_3(B)) | (v90(constB80, B) <=> v129(constB80, B)))),
% 14.69/9.92 inference(modus_ponens,[status(thm)],[11786, 11785])).
% 14.69/9.92 tff(11788,plain,
% 14.69/9.92 ((~v100(constB80)) | ![B: $i] : ((~less_3(B)) | (v90(constB80, B) <=> v129(constB80, B)))),
% 14.69/9.92 inference(unit_resolution,[status(thm)],[11787, 5134])).
% 14.69/9.92 tff(11789,plain,
% 14.69/9.92 (![B: $i] : ((~less_3(B)) | (v90(constB80, B) <=> v129(constB80, B)))),
% 14.69/9.92 inference(unit_resolution,[status(thm)],[11788, 11784])).
% 14.69/9.92 tff(11790,plain,
% 14.69/9.92 (((~![B: $i] : ((~less_3(B)) | (v90(constB80, B) <=> v129(constB80, B)))) | ((~less_3(bitIndex2)) | (v90(constB80, bitIndex2) <=> v129(constB80, bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v90(constB80, B) <=> v129(constB80, B)))) | (~less_3(bitIndex2)) | (v90(constB80, bitIndex2) <=> v129(constB80, bitIndex2)))),
% 14.69/9.92 inference(rewrite,[status(thm)],[])).
% 14.69/9.92 tff(11791,plain,
% 14.69/9.92 ((~![B: $i] : ((~less_3(B)) | (v90(constB80, B) <=> v129(constB80, B)))) | ((~less_3(bitIndex2)) | (v90(constB80, bitIndex2) <=> v129(constB80, bitIndex2)))),
% 14.69/9.92 inference(quant_inst,[status(thm)],[])).
% 14.69/9.92 tff(11792,plain,
% 14.69/9.92 ((~![B: $i] : ((~less_3(B)) | (v90(constB80, B) <=> v129(constB80, B)))) | (~less_3(bitIndex2)) | (v90(constB80, bitIndex2) <=> v129(constB80, bitIndex2))),
% 14.69/9.92 inference(modus_ponens,[status(thm)],[11791, 11790])).
% 14.69/9.92 tff(11793,plain,
% 14.69/9.92 (v90(constB80, bitIndex2) <=> v129(constB80, bitIndex2)),
% 14.69/9.92 inference(unit_resolution,[status(thm)],[11792, 413, 11789])).
% 14.69/9.92 tff(11794,plain,
% 14.69/9.92 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v129(VarNext, B) <=> v127(VarCurr, B))))) | ((~nextState(constB79, constB80)) | ![B: $i] : ((~less_3(B)) | (v129(constB80, B) <=> v127(constB79, B))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v129(VarNext, B) <=> v127(VarCurr, B))))) | (~nextState(constB79, constB80)) | ![B: $i] : ((~less_3(B)) | (v129(constB80, B) <=> v127(constB79, B))))),
% 14.69/9.92 inference(rewrite,[status(thm)],[])).
% 14.69/9.92 tff(11795,plain,
% 14.69/9.92 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v129(VarNext, B) <=> v127(VarCurr, B))))) | ((~nextState(constB79, constB80)) | ![B: $i] : ((~less_3(B)) | (v129(constB80, B) <=> v127(constB79, B))))),
% 14.69/9.92 inference(quant_inst,[status(thm)],[])).
% 14.69/9.92 tff(11796,plain,
% 14.69/9.92 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v129(VarNext, B) <=> v127(VarCurr, B))))) | (~nextState(constB79, constB80)) | ![B: $i] : ((~less_3(B)) | (v129(constB80, B) <=> v127(constB79, B)))),
% 14.69/9.92 inference(modus_ponens,[status(thm)],[11795, 11794])).
% 14.69/9.92 tff(11797,plain,
% 14.69/9.92 (![B: $i] : ((~less_3(B)) | (v129(constB80, B) <=> v127(constB79, B)))),
% 14.69/9.92 inference(unit_resolution,[status(thm)],[11796, 1292, 5156])).
% 14.69/9.92 tff(11798,plain,
% 14.69/9.92 (((~![B: $i] : ((~less_3(B)) | (v129(constB80, B) <=> v127(constB79, B)))) | ((~less_3(bitIndex2)) | (v129(constB80, bitIndex2) <=> v127(constB79, bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v129(constB80, B) <=> v127(constB79, B)))) | (~less_3(bitIndex2)) | (v129(constB80, bitIndex2) <=> v127(constB79, bitIndex2)))),
% 14.69/9.92 inference(rewrite,[status(thm)],[])).
% 14.69/9.92 tff(11799,plain,
% 14.69/9.92 ((~![B: $i] : ((~less_3(B)) | (v129(constB80, B) <=> v127(constB79, B)))) | ((~less_3(bitIndex2)) | (v129(constB80, bitIndex2) <=> v127(constB79, bitIndex2)))),
% 14.69/9.93 inference(quant_inst,[status(thm)],[])).
% 14.69/9.93 tff(11800,plain,
% 14.69/9.93 ((~![B: $i] : ((~less_3(B)) | (v129(constB80, B) <=> v127(constB79, B)))) | (~less_3(bitIndex2)) | (v129(constB80, bitIndex2) <=> v127(constB79, bitIndex2))),
% 14.69/9.93 inference(modus_ponens,[status(thm)],[11799, 11798])).
% 14.69/9.93 tff(11801,plain,
% 14.69/9.93 (v129(constB80, bitIndex2) <=> v127(constB79, bitIndex2)),
% 14.69/9.93 inference(unit_resolution,[status(thm)],[11800, 413, 11797])).
% 14.69/9.93 tff(11802,plain,
% 14.69/9.93 (((~![VarCurr: $i] : (v111(VarCurr) | ![B: $i] : ((~less_3(B)) | (v127(VarCurr, B) <=> v130(VarCurr, B))))) | (v111(constB79) | ![B: $i] : ((~less_3(B)) | (v127(constB79, B) <=> v130(constB79, B))))) <=> ((~![VarCurr: $i] : (v111(VarCurr) | ![B: $i] : ((~less_3(B)) | (v127(VarCurr, B) <=> v130(VarCurr, B))))) | v111(constB79) | ![B: $i] : ((~less_3(B)) | (v127(constB79, B) <=> v130(constB79, B))))),
% 14.69/9.93 inference(rewrite,[status(thm)],[])).
% 14.69/9.93 tff(11803,plain,
% 14.69/9.93 ((~![VarCurr: $i] : (v111(VarCurr) | ![B: $i] : ((~less_3(B)) | (v127(VarCurr, B) <=> v130(VarCurr, B))))) | (v111(constB79) | ![B: $i] : ((~less_3(B)) | (v127(constB79, B) <=> v130(constB79, B))))),
% 14.69/9.93 inference(quant_inst,[status(thm)],[])).
% 14.69/9.93 tff(11804,plain,
% 14.69/9.93 ((~![VarCurr: $i] : (v111(VarCurr) | ![B: $i] : ((~less_3(B)) | (v127(VarCurr, B) <=> v130(VarCurr, B))))) | v111(constB79) | ![B: $i] : ((~less_3(B)) | (v127(constB79, B) <=> v130(constB79, B)))),
% 14.69/9.93 inference(modus_ponens,[status(thm)],[11803, 11802])).
% 14.69/9.93 tff(11805,plain,
% 14.69/9.93 (![B: $i] : ((~less_3(B)) | (v127(constB79, B) <=> v130(constB79, B)))),
% 14.69/9.93 inference(unit_resolution,[status(thm)],[11804, 5177, 11766])).
% 14.69/9.93 tff(11806,plain,
% 14.69/9.93 (((~![B: $i] : ((~less_3(B)) | (v127(constB79, B) <=> v130(constB79, B)))) | ((~less_3(bitIndex2)) | (v127(constB79, bitIndex2) <=> v130(constB79, bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v127(constB79, B) <=> v130(constB79, B)))) | (~less_3(bitIndex2)) | (v127(constB79, bitIndex2) <=> v130(constB79, bitIndex2)))),
% 14.69/9.93 inference(rewrite,[status(thm)],[])).
% 14.69/9.93 tff(11807,plain,
% 14.69/9.93 ((~![B: $i] : ((~less_3(B)) | (v127(constB79, B) <=> v130(constB79, B)))) | ((~less_3(bitIndex2)) | (v127(constB79, bitIndex2) <=> v130(constB79, bitIndex2)))),
% 14.69/9.93 inference(quant_inst,[status(thm)],[])).
% 14.69/9.93 tff(11808,plain,
% 14.69/9.93 ((~![B: $i] : ((~less_3(B)) | (v127(constB79, B) <=> v130(constB79, B)))) | (~less_3(bitIndex2)) | (v127(constB79, bitIndex2) <=> v130(constB79, bitIndex2))),
% 14.69/9.93 inference(modus_ponens,[status(thm)],[11807, 11806])).
% 14.69/9.93 tff(11809,plain,
% 14.69/9.93 (v127(constB79, bitIndex2) <=> v130(constB79, bitIndex2)),
% 14.69/9.93 inference(unit_resolution,[status(thm)],[11808, 413, 11805])).
% 14.69/9.93 tff(11810,plain,
% 14.69/9.93 (((~![VarCurr: $i] : ((~v121(VarCurr)) | ![B: $i] : ((~less_3(B)) | (v130(VarCurr, B) <=> b011(B))))) | ((~v121(constB79)) | ![B: $i] : ((~less_3(B)) | (v130(constB79, B) <=> b011(B))))) <=> ((~![VarCurr: $i] : ((~v121(VarCurr)) | ![B: $i] : ((~less_3(B)) | (v130(VarCurr, B) <=> b011(B))))) | (~v121(constB79)) | ![B: $i] : ((~less_3(B)) | (v130(constB79, B) <=> b011(B))))),
% 14.69/9.93 inference(rewrite,[status(thm)],[])).
% 14.69/9.93 tff(11811,plain,
% 14.69/9.93 ((~![VarCurr: $i] : ((~v121(VarCurr)) | ![B: $i] : ((~less_3(B)) | (v130(VarCurr, B) <=> b011(B))))) | ((~v121(constB79)) | ![B: $i] : ((~less_3(B)) | (v130(constB79, B) <=> b011(B))))),
% 14.69/9.93 inference(quant_inst,[status(thm)],[])).
% 14.69/9.93 tff(11812,plain,
% 14.69/9.93 ((~![VarCurr: $i] : ((~v121(VarCurr)) | ![B: $i] : ((~less_3(B)) | (v130(VarCurr, B) <=> b011(B))))) | (~v121(constB79)) | ![B: $i] : ((~less_3(B)) | (v130(constB79, B) <=> b011(B)))),
% 14.69/9.93 inference(modus_ponens,[status(thm)],[11811, 11810])).
% 14.69/9.93 tff(11813,plain,
% 14.69/9.93 ((~v121(constB79)) | ![B: $i] : ((~less_3(B)) | (v130(constB79, B) <=> b011(B)))),
% 14.69/9.93 inference(unit_resolution,[status(thm)],[11812, 5977])).
% 14.69/9.93 tff(11814,plain,
% 14.69/9.93 (![B: $i] : ((~less_3(B)) | (v130(constB79, B) <=> b011(B)))),
% 14.69/9.93 inference(unit_resolution,[status(thm)],[11813, 11737])).
% 14.69/9.93 tff(11815,plain,
% 14.69/9.93 (((~![B: $i] : ((~less_3(B)) | (v130(constB79, B) <=> b011(B)))) | ((~less_3(bitIndex2)) | (v130(constB79, bitIndex2) <=> b011(bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v130(constB79, B) <=> b011(B)))) | (~less_3(bitIndex2)) | (v130(constB79, bitIndex2) <=> b011(bitIndex2)))),
% 14.69/9.93 inference(rewrite,[status(thm)],[])).
% 14.69/9.93 tff(11816,plain,
% 14.69/9.93 ((~![B: $i] : ((~less_3(B)) | (v130(constB79, B) <=> b011(B)))) | ((~less_3(bitIndex2)) | (v130(constB79, bitIndex2) <=> b011(bitIndex2)))),
% 14.69/9.93 inference(quant_inst,[status(thm)],[])).
% 14.69/9.93 tff(11817,plain,
% 14.69/9.93 ((~![B: $i] : ((~less_3(B)) | (v130(constB79, B) <=> b011(B)))) | (~less_3(bitIndex2)) | (v130(constB79, bitIndex2) <=> b011(bitIndex2))),
% 14.69/9.93 inference(modus_ponens,[status(thm)],[11816, 11815])).
% 14.69/9.93 tff(11818,plain,
% 14.69/9.93 (v130(constB79, bitIndex2) <=> b011(bitIndex2)),
% 14.69/9.93 inference(unit_resolution,[status(thm)],[11817, 413, 11814])).
% 14.69/9.93 tff(11819,plain,
% 14.69/9.93 ((~(v130(constB79, bitIndex2) <=> b011(bitIndex2))) | (~v130(constB79, bitIndex2)) | b011(bitIndex2)),
% 14.69/9.93 inference(tautology,[status(thm)],[])).
% 14.69/9.93 tff(11820,plain,
% 14.69/9.93 ((~(v130(constB79, bitIndex2) <=> b011(bitIndex2))) | (~v130(constB79, bitIndex2))),
% 14.69/9.93 inference(unit_resolution,[status(thm)],[11819, 5989])).
% 14.69/9.93 tff(11821,plain,
% 14.69/9.93 (~v130(constB79, bitIndex2)),
% 14.69/9.93 inference(unit_resolution,[status(thm)],[11820, 11818])).
% 14.69/9.93 tff(11822,plain,
% 14.69/9.93 ((~(v127(constB79, bitIndex2) <=> v130(constB79, bitIndex2))) | (~v127(constB79, bitIndex2)) | v130(constB79, bitIndex2)),
% 14.69/9.93 inference(tautology,[status(thm)],[])).
% 14.69/9.93 tff(11823,plain,
% 14.69/9.93 (~v127(constB79, bitIndex2)),
% 14.69/9.93 inference(unit_resolution,[status(thm)],[11822, 11821, 11809])).
% 14.69/9.93 tff(11824,plain,
% 14.69/9.93 ((~(v129(constB80, bitIndex2) <=> v127(constB79, bitIndex2))) | (~v129(constB80, bitIndex2)) | v127(constB79, bitIndex2)),
% 14.69/9.93 inference(tautology,[status(thm)],[])).
% 14.69/9.93 tff(11825,plain,
% 14.69/9.93 (~v129(constB80, bitIndex2)),
% 14.69/9.93 inference(unit_resolution,[status(thm)],[11824, 11823, 11801])).
% 14.69/9.93 tff(11826,plain,
% 14.69/9.93 ((~(v90(constB80, bitIndex2) <=> v129(constB80, bitIndex2))) | (~v90(constB80, bitIndex2)) | v129(constB80, bitIndex2)),
% 14.69/9.93 inference(tautology,[status(thm)],[])).
% 14.69/9.93 tff(11827,plain,
% 14.69/9.93 (~v90(constB80, bitIndex2)),
% 14.69/9.93 inference(unit_resolution,[status(thm)],[11826, 11825, 11793])).
% 14.69/9.93 tff(11828,plain,
% 14.69/9.93 ((~(v90(constB81, bitIndex2) <=> v90(constB80, bitIndex2))) | (~v90(constB81, bitIndex2)) | v90(constB80, bitIndex2)),
% 14.69/9.93 inference(tautology,[status(thm)],[])).
% 14.69/9.93 tff(11829,plain,
% 14.69/9.93 (~v90(constB81, bitIndex2)),
% 14.69/9.93 inference(unit_resolution,[status(thm)],[11828, 11827, 1289])).
% 14.69/9.93 tff(11830,plain,
% 14.69/9.93 (((~![B: $i] : ((~less_3(B)) | (v90(constB81, B) <=> v90(constB80, B)))) | ((~less_3(bitIndex0)) | (v90(constB81, bitIndex0) <=> v90(constB80, bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v90(constB81, B) <=> v90(constB80, B)))) | (~less_3(bitIndex0)) | (v90(constB81, bitIndex0) <=> v90(constB80, bitIndex0)))),
% 14.69/9.93 inference(rewrite,[status(thm)],[])).
% 14.69/9.93 tff(11831,plain,
% 14.69/9.93 ((~![B: $i] : ((~less_3(B)) | (v90(constB81, B) <=> v90(constB80, B)))) | ((~less_3(bitIndex0)) | (v90(constB81, bitIndex0) <=> v90(constB80, bitIndex0)))),
% 14.69/9.93 inference(quant_inst,[status(thm)],[])).
% 14.69/9.93 tff(11832,plain,
% 14.69/9.93 ((~![B: $i] : ((~less_3(B)) | (v90(constB81, B) <=> v90(constB80, B)))) | (~less_3(bitIndex0)) | (v90(constB81, bitIndex0) <=> v90(constB80, bitIndex0))),
% 14.69/9.93 inference(modus_ponens,[status(thm)],[11831, 11830])).
% 14.69/9.93 tff(11833,plain,
% 14.69/9.93 (v90(constB81, bitIndex0) <=> v90(constB80, bitIndex0)),
% 14.69/9.93 inference(unit_resolution,[status(thm)],[11832, 5004, 1285])).
% 14.69/9.93 tff(11834,plain,
% 14.69/9.93 (((~![B: $i] : ((~less_3(B)) | (v90(constB80, B) <=> v129(constB80, B)))) | ((~less_3(bitIndex0)) | (v90(constB80, bitIndex0) <=> v129(constB80, bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v90(constB80, B) <=> v129(constB80, B)))) | (~less_3(bitIndex0)) | (v90(constB80, bitIndex0) <=> v129(constB80, bitIndex0)))),
% 14.69/9.93 inference(rewrite,[status(thm)],[])).
% 14.69/9.93 tff(11835,plain,
% 14.69/9.93 ((~![B: $i] : ((~less_3(B)) | (v90(constB80, B) <=> v129(constB80, B)))) | ((~less_3(bitIndex0)) | (v90(constB80, bitIndex0) <=> v129(constB80, bitIndex0)))),
% 14.69/9.93 inference(quant_inst,[status(thm)],[])).
% 14.69/9.93 tff(11836,plain,
% 14.69/9.93 ((~![B: $i] : ((~less_3(B)) | (v90(constB80, B) <=> v129(constB80, B)))) | (~less_3(bitIndex0)) | (v90(constB80, bitIndex0) <=> v129(constB80, bitIndex0))),
% 14.69/9.93 inference(modus_ponens,[status(thm)],[11835, 11834])).
% 14.69/9.93 tff(11837,plain,
% 14.69/9.93 (v90(constB80, bitIndex0) <=> v129(constB80, bitIndex0)),
% 14.69/9.93 inference(unit_resolution,[status(thm)],[11836, 5004, 11789])).
% 14.69/9.93 tff(11838,plain,
% 14.69/9.93 (((~![B: $i] : ((~less_3(B)) | (v129(constB80, B) <=> v127(constB79, B)))) | ((~less_3(bitIndex0)) | (v129(constB80, bitIndex0) <=> v127(constB79, bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v129(constB80, B) <=> v127(constB79, B)))) | (~less_3(bitIndex0)) | (v129(constB80, bitIndex0) <=> v127(constB79, bitIndex0)))),
% 14.69/9.93 inference(rewrite,[status(thm)],[])).
% 14.69/9.93 tff(11839,plain,
% 14.69/9.93 ((~![B: $i] : ((~less_3(B)) | (v129(constB80, B) <=> v127(constB79, B)))) | ((~less_3(bitIndex0)) | (v129(constB80, bitIndex0) <=> v127(constB79, bitIndex0)))),
% 14.69/9.93 inference(quant_inst,[status(thm)],[])).
% 14.69/9.93 tff(11840,plain,
% 14.69/9.93 ((~![B: $i] : ((~less_3(B)) | (v129(constB80, B) <=> v127(constB79, B)))) | (~less_3(bitIndex0)) | (v129(constB80, bitIndex0) <=> v127(constB79, bitIndex0))),
% 14.69/9.93 inference(modus_ponens,[status(thm)],[11839, 11838])).
% 14.69/9.93 tff(11841,plain,
% 14.69/9.93 (v129(constB80, bitIndex0) <=> v127(constB79, bitIndex0)),
% 14.69/9.93 inference(unit_resolution,[status(thm)],[11840, 5004, 11797])).
% 14.69/9.93 tff(11842,plain,
% 14.69/9.93 (((~![B: $i] : ((~less_3(B)) | (v127(constB79, B) <=> v130(constB79, B)))) | ((~less_3(bitIndex0)) | (v127(constB79, bitIndex0) <=> v130(constB79, bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v127(constB79, B) <=> v130(constB79, B)))) | (~less_3(bitIndex0)) | (v127(constB79, bitIndex0) <=> v130(constB79, bitIndex0)))),
% 14.69/9.93 inference(rewrite,[status(thm)],[])).
% 14.69/9.93 tff(11843,plain,
% 14.69/9.93 ((~![B: $i] : ((~less_3(B)) | (v127(constB79, B) <=> v130(constB79, B)))) | ((~less_3(bitIndex0)) | (v127(constB79, bitIndex0) <=> v130(constB79, bitIndex0)))),
% 14.69/9.93 inference(quant_inst,[status(thm)],[])).
% 14.69/9.93 tff(11844,plain,
% 14.69/9.93 ((~![B: $i] : ((~less_3(B)) | (v127(constB79, B) <=> v130(constB79, B)))) | (~less_3(bitIndex0)) | (v127(constB79, bitIndex0) <=> v130(constB79, bitIndex0))),
% 14.69/9.93 inference(modus_ponens,[status(thm)],[11843, 11842])).
% 14.69/9.93 tff(11845,plain,
% 14.69/9.93 (v127(constB79, bitIndex0) <=> v130(constB79, bitIndex0)),
% 14.69/9.93 inference(unit_resolution,[status(thm)],[11844, 5004, 11805])).
% 14.69/9.93 tff(11846,plain,
% 14.69/9.93 (((~![B: $i] : ((~less_3(B)) | (v130(constB79, B) <=> b011(B)))) | ((~less_3(bitIndex0)) | (v130(constB79, bitIndex0) <=> b011(bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v130(constB79, B) <=> b011(B)))) | (~less_3(bitIndex0)) | (v130(constB79, bitIndex0) <=> b011(bitIndex0)))),
% 14.69/9.93 inference(rewrite,[status(thm)],[])).
% 14.69/9.93 tff(11847,plain,
% 14.69/9.93 ((~![B: $i] : ((~less_3(B)) | (v130(constB79, B) <=> b011(B)))) | ((~less_3(bitIndex0)) | (v130(constB79, bitIndex0) <=> b011(bitIndex0)))),
% 14.69/9.93 inference(quant_inst,[status(thm)],[])).
% 14.69/9.93 tff(11848,plain,
% 14.69/9.93 ((~![B: $i] : ((~less_3(B)) | (v130(constB79, B) <=> b011(B)))) | (~less_3(bitIndex0)) | (v130(constB79, bitIndex0) <=> b011(bitIndex0))),
% 14.69/9.93 inference(modus_ponens,[status(thm)],[11847, 11846])).
% 14.69/9.93 tff(11849,plain,
% 14.69/9.93 (v130(constB79, bitIndex0) <=> b011(bitIndex0)),
% 14.69/9.93 inference(unit_resolution,[status(thm)],[11848, 5004, 11814])).
% 14.69/9.93 tff(11850,plain,
% 14.69/9.93 ((~(v130(constB79, bitIndex0) <=> b011(bitIndex0))) | v130(constB79, bitIndex0) | (~b011(bitIndex0))),
% 14.69/9.93 inference(tautology,[status(thm)],[])).
% 14.69/9.93 tff(11851,plain,
% 14.69/9.93 ((~(v130(constB79, bitIndex0) <=> b011(bitIndex0))) | v130(constB79, bitIndex0)),
% 14.69/9.93 inference(unit_resolution,[status(thm)],[11850, 6023])).
% 14.69/9.93 tff(11852,plain,
% 14.69/9.93 (v130(constB79, bitIndex0)),
% 14.69/9.93 inference(unit_resolution,[status(thm)],[11851, 11849])).
% 14.69/9.93 tff(11853,plain,
% 14.69/9.93 ((~(v127(constB79, bitIndex0) <=> v130(constB79, bitIndex0))) | v127(constB79, bitIndex0) | (~v130(constB79, bitIndex0))),
% 14.69/9.93 inference(tautology,[status(thm)],[])).
% 14.69/9.93 tff(11854,plain,
% 14.69/9.93 (v127(constB79, bitIndex0)),
% 14.69/9.93 inference(unit_resolution,[status(thm)],[11853, 11852, 11845])).
% 14.69/9.93 tff(11855,plain,
% 14.69/9.93 ((~(v129(constB80, bitIndex0) <=> v127(constB79, bitIndex0))) | v129(constB80, bitIndex0) | (~v127(constB79, bitIndex0))),
% 14.69/9.93 inference(tautology,[status(thm)],[])).
% 14.69/9.94 tff(11856,plain,
% 14.69/9.94 (v129(constB80, bitIndex0)),
% 14.69/9.94 inference(unit_resolution,[status(thm)],[11855, 11854, 11841])).
% 14.69/9.94 tff(11857,plain,
% 14.69/9.94 ((~(v90(constB80, bitIndex0) <=> v129(constB80, bitIndex0))) | v90(constB80, bitIndex0) | (~v129(constB80, bitIndex0))),
% 14.69/9.94 inference(tautology,[status(thm)],[])).
% 14.69/9.94 tff(11858,plain,
% 14.69/9.94 (v90(constB80, bitIndex0)),
% 14.69/9.94 inference(unit_resolution,[status(thm)],[11857, 11856, 11837])).
% 14.69/9.94 tff(11859,plain,
% 14.69/9.94 ((~(v90(constB81, bitIndex0) <=> v90(constB80, bitIndex0))) | v90(constB81, bitIndex0) | (~v90(constB80, bitIndex0))),
% 14.69/9.94 inference(tautology,[status(thm)],[])).
% 14.69/9.94 tff(11860,plain,
% 14.69/9.94 (v90(constB81, bitIndex0)),
% 14.69/9.94 inference(unit_resolution,[status(thm)],[11859, 11858, 11833])).
% 14.69/9.94 tff(11861,plain,
% 14.69/9.94 (((~![B: $i] : ((~less_3(B)) | (v90(constB81, B) <=> v90(constB80, B)))) | ((~less_3(bitIndex1)) | (v90(constB81, bitIndex1) <=> v90(constB80, bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v90(constB81, B) <=> v90(constB80, B)))) | (~less_3(bitIndex1)) | (v90(constB81, bitIndex1) <=> v90(constB80, bitIndex1)))),
% 14.69/9.94 inference(rewrite,[status(thm)],[])).
% 14.69/9.94 tff(11862,plain,
% 14.69/9.94 ((~![B: $i] : ((~less_3(B)) | (v90(constB81, B) <=> v90(constB80, B)))) | ((~less_3(bitIndex1)) | (v90(constB81, bitIndex1) <=> v90(constB80, bitIndex1)))),
% 14.69/9.94 inference(quant_inst,[status(thm)],[])).
% 14.69/9.94 tff(11863,plain,
% 14.69/9.94 ((~![B: $i] : ((~less_3(B)) | (v90(constB81, B) <=> v90(constB80, B)))) | (~less_3(bitIndex1)) | (v90(constB81, bitIndex1) <=> v90(constB80, bitIndex1))),
% 14.69/9.94 inference(modus_ponens,[status(thm)],[11862, 11861])).
% 14.69/9.94 tff(11864,plain,
% 14.69/9.94 (v90(constB81, bitIndex1) <=> v90(constB80, bitIndex1)),
% 14.69/9.94 inference(unit_resolution,[status(thm)],[11863, 5017, 1285])).
% 14.69/9.94 tff(11865,plain,
% 14.69/9.94 (((~![B: $i] : ((~less_3(B)) | (v90(constB80, B) <=> v129(constB80, B)))) | ((~less_3(bitIndex1)) | (v90(constB80, bitIndex1) <=> v129(constB80, bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v90(constB80, B) <=> v129(constB80, B)))) | (~less_3(bitIndex1)) | (v90(constB80, bitIndex1) <=> v129(constB80, bitIndex1)))),
% 14.69/9.94 inference(rewrite,[status(thm)],[])).
% 14.69/9.94 tff(11866,plain,
% 14.69/9.94 ((~![B: $i] : ((~less_3(B)) | (v90(constB80, B) <=> v129(constB80, B)))) | ((~less_3(bitIndex1)) | (v90(constB80, bitIndex1) <=> v129(constB80, bitIndex1)))),
% 14.69/9.94 inference(quant_inst,[status(thm)],[])).
% 14.69/9.94 tff(11867,plain,
% 14.69/9.94 ((~![B: $i] : ((~less_3(B)) | (v90(constB80, B) <=> v129(constB80, B)))) | (~less_3(bitIndex1)) | (v90(constB80, bitIndex1) <=> v129(constB80, bitIndex1))),
% 14.69/9.94 inference(modus_ponens,[status(thm)],[11866, 11865])).
% 14.69/9.94 tff(11868,plain,
% 14.69/9.94 (v90(constB80, bitIndex1) <=> v129(constB80, bitIndex1)),
% 14.69/9.94 inference(unit_resolution,[status(thm)],[11867, 5017, 11789])).
% 14.69/9.94 tff(11869,plain,
% 14.69/9.94 (((~![B: $i] : ((~less_3(B)) | (v129(constB80, B) <=> v127(constB79, B)))) | ((~less_3(bitIndex1)) | (v129(constB80, bitIndex1) <=> v127(constB79, bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v129(constB80, B) <=> v127(constB79, B)))) | (~less_3(bitIndex1)) | (v129(constB80, bitIndex1) <=> v127(constB79, bitIndex1)))),
% 14.69/9.94 inference(rewrite,[status(thm)],[])).
% 14.69/9.94 tff(11870,plain,
% 14.69/9.94 ((~![B: $i] : ((~less_3(B)) | (v129(constB80, B) <=> v127(constB79, B)))) | ((~less_3(bitIndex1)) | (v129(constB80, bitIndex1) <=> v127(constB79, bitIndex1)))),
% 14.69/9.94 inference(quant_inst,[status(thm)],[])).
% 14.69/9.94 tff(11871,plain,
% 14.69/9.94 ((~![B: $i] : ((~less_3(B)) | (v129(constB80, B) <=> v127(constB79, B)))) | (~less_3(bitIndex1)) | (v129(constB80, bitIndex1) <=> v127(constB79, bitIndex1))),
% 14.69/9.94 inference(modus_ponens,[status(thm)],[11870, 11869])).
% 14.69/9.94 tff(11872,plain,
% 14.69/9.94 (v129(constB80, bitIndex1) <=> v127(constB79, bitIndex1)),
% 14.69/9.94 inference(unit_resolution,[status(thm)],[11871, 5017, 11797])).
% 14.69/9.94 tff(11873,plain,
% 14.69/9.94 (((~![B: $i] : ((~less_3(B)) | (v127(constB79, B) <=> v130(constB79, B)))) | ((~less_3(bitIndex1)) | (v127(constB79, bitIndex1) <=> v130(constB79, bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v127(constB79, B) <=> v130(constB79, B)))) | (~less_3(bitIndex1)) | (v127(constB79, bitIndex1) <=> v130(constB79, bitIndex1)))),
% 14.69/9.94 inference(rewrite,[status(thm)],[])).
% 14.69/9.94 tff(11874,plain,
% 14.69/9.94 ((~![B: $i] : ((~less_3(B)) | (v127(constB79, B) <=> v130(constB79, B)))) | ((~less_3(bitIndex1)) | (v127(constB79, bitIndex1) <=> v130(constB79, bitIndex1)))),
% 14.69/9.94 inference(quant_inst,[status(thm)],[])).
% 14.69/9.94 tff(11875,plain,
% 14.69/9.94 ((~![B: $i] : ((~less_3(B)) | (v127(constB79, B) <=> v130(constB79, B)))) | (~less_3(bitIndex1)) | (v127(constB79, bitIndex1) <=> v130(constB79, bitIndex1))),
% 14.69/9.94 inference(modus_ponens,[status(thm)],[11874, 11873])).
% 14.69/9.94 tff(11876,plain,
% 14.69/9.94 (v127(constB79, bitIndex1) <=> v130(constB79, bitIndex1)),
% 14.69/9.94 inference(unit_resolution,[status(thm)],[11875, 5017, 11805])).
% 14.69/9.94 tff(11877,plain,
% 14.69/9.94 (((~![B: $i] : ((~less_3(B)) | (v130(constB79, B) <=> b011(B)))) | ((~less_3(bitIndex1)) | (v130(constB79, bitIndex1) <=> b011(bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v130(constB79, B) <=> b011(B)))) | (~less_3(bitIndex1)) | (v130(constB79, bitIndex1) <=> b011(bitIndex1)))),
% 14.69/9.94 inference(rewrite,[status(thm)],[])).
% 14.69/9.94 tff(11878,plain,
% 14.69/9.94 ((~![B: $i] : ((~less_3(B)) | (v130(constB79, B) <=> b011(B)))) | ((~less_3(bitIndex1)) | (v130(constB79, bitIndex1) <=> b011(bitIndex1)))),
% 14.69/9.94 inference(quant_inst,[status(thm)],[])).
% 14.69/9.94 tff(11879,plain,
% 14.69/9.94 ((~![B: $i] : ((~less_3(B)) | (v130(constB79, B) <=> b011(B)))) | (~less_3(bitIndex1)) | (v130(constB79, bitIndex1) <=> b011(bitIndex1))),
% 14.69/9.94 inference(modus_ponens,[status(thm)],[11878, 11877])).
% 14.69/9.94 tff(11880,plain,
% 14.69/9.94 (v130(constB79, bitIndex1) <=> b011(bitIndex1)),
% 14.69/9.94 inference(unit_resolution,[status(thm)],[11879, 5017, 11814])).
% 14.69/9.94 tff(11881,plain,
% 14.69/9.94 ((~(v130(constB79, bitIndex1) <=> b011(bitIndex1))) | v130(constB79, bitIndex1) | (~b011(bitIndex1))),
% 14.69/9.94 inference(tautology,[status(thm)],[])).
% 14.69/9.94 tff(11882,plain,
% 14.69/9.94 ((~(v130(constB79, bitIndex1) <=> b011(bitIndex1))) | v130(constB79, bitIndex1)),
% 14.69/9.94 inference(unit_resolution,[status(thm)],[11881, 6057])).
% 14.69/9.94 tff(11883,plain,
% 14.69/9.94 (v130(constB79, bitIndex1)),
% 14.69/9.94 inference(unit_resolution,[status(thm)],[11882, 11880])).
% 14.69/9.94 tff(11884,plain,
% 14.69/9.94 ((~(v127(constB79, bitIndex1) <=> v130(constB79, bitIndex1))) | v127(constB79, bitIndex1) | (~v130(constB79, bitIndex1))),
% 14.69/9.94 inference(tautology,[status(thm)],[])).
% 14.69/9.94 tff(11885,plain,
% 14.69/9.94 (v127(constB79, bitIndex1)),
% 14.69/9.94 inference(unit_resolution,[status(thm)],[11884, 11883, 11876])).
% 14.69/9.94 tff(11886,plain,
% 14.69/9.94 ((~(v129(constB80, bitIndex1) <=> v127(constB79, bitIndex1))) | v129(constB80, bitIndex1) | (~v127(constB79, bitIndex1))),
% 14.69/9.94 inference(tautology,[status(thm)],[])).
% 14.69/9.94 tff(11887,plain,
% 14.69/9.94 (v129(constB80, bitIndex1)),
% 14.69/9.94 inference(unit_resolution,[status(thm)],[11886, 11885, 11872])).
% 14.69/9.94 tff(11888,plain,
% 14.69/9.94 ((~(v90(constB80, bitIndex1) <=> v129(constB80, bitIndex1))) | v90(constB80, bitIndex1) | (~v129(constB80, bitIndex1))),
% 14.69/9.94 inference(tautology,[status(thm)],[])).
% 14.69/9.94 tff(11889,plain,
% 14.69/9.94 (v90(constB80, bitIndex1)),
% 14.69/9.94 inference(unit_resolution,[status(thm)],[11888, 11887, 11868])).
% 14.69/9.94 tff(11890,plain,
% 14.69/9.94 ((~(v90(constB81, bitIndex1) <=> v90(constB80, bitIndex1))) | v90(constB81, bitIndex1) | (~v90(constB80, bitIndex1))),
% 14.69/9.94 inference(tautology,[status(thm)],[])).
% 14.69/9.94 tff(11891,plain,
% 14.69/9.94 (v90(constB81, bitIndex1)),
% 14.69/9.94 inference(unit_resolution,[status(thm)],[11890, 11889, 11864])).
% 14.69/9.94 tff(11892,plain,
% 14.69/9.94 ((~(v90(constB81, bitIndex2) | (~v90(constB81, bitIndex1)) | (~v90(constB81, bitIndex0)))) | v90(constB81, bitIndex2) | (~v90(constB81, bitIndex1)) | (~v90(constB81, bitIndex0))),
% 14.69/9.94 inference(tautology,[status(thm)],[])).
% 14.69/9.94 tff(11893,plain,
% 14.69/9.94 (~(v90(constB81, bitIndex2) | (~v90(constB81, bitIndex1)) | (~v90(constB81, bitIndex0)))),
% 14.69/9.94 inference(unit_resolution,[status(thm)],[11892, 11891, 11860, 11829])).
% 14.69/9.94 tff(11894,plain,
% 14.69/9.94 ((~(v122(constB81) <=> (~(v90(constB81, bitIndex2) | (~v90(constB81, bitIndex1)) | (~v90(constB81, bitIndex0)))))) | v122(constB81) | (v90(constB81, bitIndex2) | (~v90(constB81, bitIndex1)) | (~v90(constB81, bitIndex0)))),
% 14.69/9.94 inference(tautology,[status(thm)],[])).
% 14.69/9.94 tff(11895,plain,
% 14.69/9.94 (v122(constB81)),
% 14.69/9.94 inference(unit_resolution,[status(thm)],[11894, 11893, 1257])).
% 14.69/9.94 tff(11896,plain,
% 14.69/9.94 ((v117(constB81) | v122(constB81)) | (~v122(constB81))),
% 14.69/9.94 inference(tautology,[status(thm)],[])).
% 14.69/9.94 tff(11897,plain,
% 14.69/9.94 (v117(constB81) | v122(constB81)),
% 14.69/9.94 inference(unit_resolution,[status(thm)],[11896, 11895])).
% 14.69/9.94 tff(11898,plain,
% 14.69/9.94 ((~(v116(constB81) <=> (v117(constB81) | v122(constB81)))) | v116(constB81) | (~(v117(constB81) | v122(constB81)))),
% 14.69/9.94 inference(tautology,[status(thm)],[])).
% 14.69/9.94 tff(11899,plain,
% 14.69/9.94 (v116(constB81)),
% 14.69/9.94 inference(unit_resolution,[status(thm)],[11898, 11897, 1250])).
% 14.69/9.94 tff(11900,plain,
% 14.69/9.94 ((v116(constB81) | v123(constB81)) | (~v116(constB81))),
% 14.69/9.94 inference(tautology,[status(thm)],[])).
% 14.69/9.94 tff(11901,plain,
% 14.69/9.94 (v116(constB81) | v123(constB81)),
% 14.69/9.94 inference(unit_resolution,[status(thm)],[11900, 11899])).
% 14.69/9.94 tff(11902,plain,
% 14.69/9.94 ((~(v115(constB81) <=> (v116(constB81) | v123(constB81)))) | v115(constB81) | (~(v116(constB81) | v123(constB81)))),
% 14.69/9.94 inference(tautology,[status(thm)],[])).
% 14.69/9.94 tff(11903,plain,
% 14.69/9.94 (v115(constB81)),
% 14.69/9.94 inference(unit_resolution,[status(thm)],[11902, 11901, 1248])).
% 14.69/9.94 tff(11904,plain,
% 14.69/9.94 ((v115(constB81) | v124(constB81)) | (~v115(constB81))),
% 14.69/9.94 inference(tautology,[status(thm)],[])).
% 14.69/9.94 tff(11905,plain,
% 14.69/9.94 (v115(constB81) | v124(constB81)),
% 14.69/9.94 inference(unit_resolution,[status(thm)],[11904, 11903])).
% 14.69/9.94 tff(11906,plain,
% 14.69/9.94 ((~(v114(constB81) <=> (v115(constB81) | v124(constB81)))) | v114(constB81) | (~(v115(constB81) | v124(constB81)))),
% 14.69/9.94 inference(tautology,[status(thm)],[])).
% 14.69/9.94 tff(11907,plain,
% 14.69/9.94 (v114(constB81)),
% 14.69/9.94 inference(unit_resolution,[status(thm)],[11906, 11905, 1246])).
% 14.69/9.94 tff(11908,plain,
% 14.69/9.94 ((v114(constB81) | v125(constB81)) | (~v114(constB81))),
% 14.69/9.94 inference(tautology,[status(thm)],[])).
% 14.69/9.94 tff(11909,plain,
% 14.69/9.94 (v114(constB81) | v125(constB81)),
% 14.69/9.94 inference(unit_resolution,[status(thm)],[11908, 11907])).
% 14.69/9.94 tff(11910,plain,
% 14.69/9.94 ((~(v113(constB81) <=> (v114(constB81) | v125(constB81)))) | v113(constB81) | (~(v114(constB81) | v125(constB81)))),
% 14.69/9.94 inference(tautology,[status(thm)],[])).
% 14.69/9.94 tff(11911,plain,
% 14.69/9.94 (v113(constB81)),
% 14.69/9.94 inference(unit_resolution,[status(thm)],[11910, 11909, 1244])).
% 14.69/9.94 tff(11912,plain,
% 14.69/9.94 ((~![VarCurr: $i] : ((~v126(VarCurr)) <=> v111(VarCurr))) | ((~v126(constB81)) <=> v111(constB81))),
% 14.69/9.94 inference(quant_inst,[status(thm)],[])).
% 14.69/9.94 tff(11913,plain,
% 14.69/9.94 ((~v126(constB81)) <=> v111(constB81)),
% 14.69/9.94 inference(unit_resolution,[status(thm)],[11912, 5074])).
% 14.69/9.94 tff(11914,plain,
% 14.69/9.94 ((~![VarCurr: $i] : (v111(VarCurr) <=> v26(VarCurr))) | (v111(constB81) <=> v26(constB81))),
% 14.69/9.94 inference(quant_inst,[status(thm)],[])).
% 14.69/9.94 tff(11915,plain,
% 14.69/9.94 (v111(constB81) <=> v26(constB81)),
% 14.69/9.94 inference(unit_resolution,[status(thm)],[11914, 5086])).
% 14.69/9.94 tff(11916,plain,
% 14.69/9.94 ((~![VarCurr: $i] : (~v26(VarCurr))) | (~v26(constB81))),
% 14.69/9.94 inference(quant_inst,[status(thm)],[])).
% 14.69/9.94 tff(11917,plain,
% 14.69/9.94 (~v26(constB81)),
% 14.69/9.94 inference(unit_resolution,[status(thm)],[11916, 5098])).
% 14.69/9.94 tff(11918,plain,
% 14.69/9.94 ((~(v111(constB81) <=> v26(constB81))) | (~v111(constB81)) | v26(constB81)),
% 14.69/9.94 inference(tautology,[status(thm)],[])).
% 14.69/9.94 tff(11919,plain,
% 14.69/9.94 ((~(v111(constB81) <=> v26(constB81))) | (~v111(constB81))),
% 14.69/9.94 inference(unit_resolution,[status(thm)],[11918, 11917])).
% 14.69/9.94 tff(11920,plain,
% 14.69/9.94 (~v111(constB81)),
% 14.69/9.94 inference(unit_resolution,[status(thm)],[11919, 11915])).
% 14.69/9.94 tff(11921,plain,
% 14.69/9.94 ((~((~v126(constB81)) <=> v111(constB81))) | v126(constB81) | v111(constB81)),
% 14.69/9.94 inference(tautology,[status(thm)],[])).
% 14.69/9.94 tff(11922,plain,
% 14.69/9.94 ((~((~v126(constB81)) <=> v111(constB81))) | v126(constB81)),
% 14.69/9.94 inference(unit_resolution,[status(thm)],[11921, 11920])).
% 14.69/9.94 tff(11923,plain,
% 14.69/9.94 (v126(constB81)),
% 14.69/9.94 inference(unit_resolution,[status(thm)],[11922, 11913])).
% 14.69/9.94 tff(11924,plain,
% 14.69/9.94 ((~((~v113(constB81)) | (~v126(constB81)))) | (~v113(constB81)) | (~v126(constB81))),
% 14.69/9.94 inference(tautology,[status(thm)],[])).
% 14.69/9.94 tff(11925,plain,
% 14.69/9.94 ((~((~v113(constB81)) | (~v126(constB81)))) | (~v113(constB81))),
% 14.69/9.94 inference(unit_resolution,[status(thm)],[11924, 11923])).
% 14.69/9.94 tff(11926,plain,
% 14.69/9.94 (~((~v113(constB81)) | (~v126(constB81)))),
% 14.69/9.94 inference(unit_resolution,[status(thm)],[11925, 11911])).
% 14.69/9.94 tff(11927,plain,
% 14.69/9.94 ((~(v112(constB81) <=> (~((~v113(constB81)) | (~v126(constB81)))))) | v112(constB81) | ((~v113(constB81)) | (~v126(constB81)))),
% 14.69/9.94 inference(tautology,[status(thm)],[])).
% 14.69/9.94 tff(11928,plain,
% 14.69/9.94 (v112(constB81)),
% 14.69/9.94 inference(unit_resolution,[status(thm)],[11927, 11926, 1242])).
% 14.69/9.94 tff(11929,plain,
% 14.69/9.94 ((v111(constB81) | v112(constB81)) | (~v112(constB81))),
% 14.69/9.94 inference(tautology,[status(thm)],[])).
% 14.69/9.94 tff(11930,plain,
% 14.69/9.94 (v111(constB81) | v112(constB81)),
% 14.69/9.94 inference(unit_resolution,[status(thm)],[11929, 11928])).
% 14.69/9.94 tff(11931,plain,
% 14.69/9.94 ((~(v108(constB81) <=> (v111(constB81) | v112(constB81)))) | v108(constB81) | (~(v111(constB81) | v112(constB81)))),
% 14.69/9.94 inference(tautology,[status(thm)],[])).
% 14.69/9.94 tff(11932,plain,
% 14.69/9.94 (v108(constB81)),
% 14.69/9.94 inference(unit_resolution,[status(thm)],[11931, 11930, 1240])).
% 14.69/9.94 tff(11933,plain,
% 14.69/9.94 ((~(v110(constB82) <=> v108(constB81))) | v110(constB82) | (~v108(constB81))),
% 14.69/9.94 inference(tautology,[status(thm)],[])).
% 14.69/9.94 tff(11934,plain,
% 14.69/9.94 (v110(constB82)),
% 14.69/9.94 inference(unit_resolution,[status(thm)],[11933, 11932, 1238])).
% 14.69/9.94 tff(11935,plain,
% 14.69/9.94 ((~((~v101(constB82)) | (~v110(constB82)))) | (~v101(constB82)) | (~v110(constB82))),
% 14.69/9.94 inference(tautology,[status(thm)],[])).
% 14.69/9.94 tff(11936,plain,
% 14.69/9.94 (~((~v101(constB82)) | (~v110(constB82)))),
% 14.69/9.94 inference(unit_resolution,[status(thm)],[11935, 11934, 1234])).
% 14.69/9.94 tff(11937,plain,
% 14.69/9.94 ((~(v100(constB82) <=> (~((~v101(constB82)) | (~v110(constB82)))))) | v100(constB82) | ((~v101(constB82)) | (~v110(constB82)))),
% 14.69/9.94 inference(tautology,[status(thm)],[])).
% 14.69/9.94 tff(11938,plain,
% 14.69/9.94 (v100(constB82)),
% 14.69/9.94 inference(unit_resolution,[status(thm)],[11937, 11936, 1203])).
% 14.69/9.94 tff(11939,plain,
% 14.69/9.94 (((~![VarNext: $i] : ((~v100(VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v129(VarNext, B))))) | ((~v100(constB82)) | ![B: $i] : ((~less_3(B)) | (v90(constB82, B) <=> v129(constB82, B))))) <=> ((~![VarNext: $i] : ((~v100(VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v129(VarNext, B))))) | (~v100(constB82)) | ![B: $i] : ((~less_3(B)) | (v90(constB82, B) <=> v129(constB82, B))))),
% 14.69/9.94 inference(rewrite,[status(thm)],[])).
% 14.69/9.94 tff(11940,plain,
% 14.69/9.94 ((~![VarNext: $i] : ((~v100(VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v129(VarNext, B))))) | ((~v100(constB82)) | ![B: $i] : ((~less_3(B)) | (v90(constB82, B) <=> v129(constB82, B))))),
% 14.69/9.94 inference(quant_inst,[status(thm)],[])).
% 14.69/9.94 tff(11941,plain,
% 14.69/9.94 ((~![VarNext: $i] : ((~v100(VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v129(VarNext, B))))) | (~v100(constB82)) | ![B: $i] : ((~less_3(B)) | (v90(constB82, B) <=> v129(constB82, B)))),
% 14.69/9.94 inference(modus_ponens,[status(thm)],[11940, 11939])).
% 14.69/9.94 tff(11942,plain,
% 14.69/9.94 ((~v100(constB82)) | ![B: $i] : ((~less_3(B)) | (v90(constB82, B) <=> v129(constB82, B)))),
% 14.69/9.94 inference(unit_resolution,[status(thm)],[11941, 5134])).
% 14.69/9.94 tff(11943,plain,
% 14.69/9.94 (![B: $i] : ((~less_3(B)) | (v90(constB82, B) <=> v129(constB82, B)))),
% 14.69/9.94 inference(unit_resolution,[status(thm)],[11942, 11938])).
% 14.69/9.94 tff(11944,plain,
% 14.69/9.94 (((~![B: $i] : ((~less_3(B)) | (v90(constB82, B) <=> v129(constB82, B)))) | ((~less_3(bitIndex2)) | (v90(constB82, bitIndex2) <=> v129(constB82, bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v90(constB82, B) <=> v129(constB82, B)))) | (~less_3(bitIndex2)) | (v90(constB82, bitIndex2) <=> v129(constB82, bitIndex2)))),
% 14.69/9.94 inference(rewrite,[status(thm)],[])).
% 14.69/9.94 tff(11945,plain,
% 14.69/9.94 ((~![B: $i] : ((~less_3(B)) | (v90(constB82, B) <=> v129(constB82, B)))) | ((~less_3(bitIndex2)) | (v90(constB82, bitIndex2) <=> v129(constB82, bitIndex2)))),
% 14.69/9.94 inference(quant_inst,[status(thm)],[])).
% 14.69/9.94 tff(11946,plain,
% 14.69/9.94 ((~![B: $i] : ((~less_3(B)) | (v90(constB82, B) <=> v129(constB82, B)))) | (~less_3(bitIndex2)) | (v90(constB82, bitIndex2) <=> v129(constB82, bitIndex2))),
% 14.69/9.94 inference(modus_ponens,[status(thm)],[11945, 11944])).
% 14.69/9.94 tff(11947,plain,
% 14.69/9.94 (v90(constB82, bitIndex2) <=> v129(constB82, bitIndex2)),
% 14.69/9.94 inference(unit_resolution,[status(thm)],[11946, 413, 11943])).
% 14.69/9.94 tff(11948,plain,
% 14.69/9.94 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v129(VarNext, B) <=> v127(VarCurr, B))))) | ((~nextState(constB81, constB82)) | ![B: $i] : ((~less_3(B)) | (v129(constB82, B) <=> v127(constB81, B))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v129(VarNext, B) <=> v127(VarCurr, B))))) | (~nextState(constB81, constB82)) | ![B: $i] : ((~less_3(B)) | (v129(constB82, B) <=> v127(constB81, B))))),
% 14.69/9.95 inference(rewrite,[status(thm)],[])).
% 14.69/9.95 tff(11949,plain,
% 14.69/9.95 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v129(VarNext, B) <=> v127(VarCurr, B))))) | ((~nextState(constB81, constB82)) | ![B: $i] : ((~less_3(B)) | (v129(constB82, B) <=> v127(constB81, B))))),
% 14.69/9.95 inference(quant_inst,[status(thm)],[])).
% 14.69/9.95 tff(11950,plain,
% 14.69/9.95 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v129(VarNext, B) <=> v127(VarCurr, B))))) | (~nextState(constB81, constB82)) | ![B: $i] : ((~less_3(B)) | (v129(constB82, B) <=> v127(constB81, B)))),
% 14.69/9.95 inference(modus_ponens,[status(thm)],[11949, 11948])).
% 14.69/9.95 tff(11951,plain,
% 14.69/9.95 (![B: $i] : ((~less_3(B)) | (v129(constB82, B) <=> v127(constB81, B)))),
% 14.69/9.95 inference(unit_resolution,[status(thm)],[11950, 1199, 5156])).
% 14.69/9.95 tff(11952,plain,
% 14.69/9.95 (((~![B: $i] : ((~less_3(B)) | (v129(constB82, B) <=> v127(constB81, B)))) | ((~less_3(bitIndex2)) | (v129(constB82, bitIndex2) <=> v127(constB81, bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v129(constB82, B) <=> v127(constB81, B)))) | (~less_3(bitIndex2)) | (v129(constB82, bitIndex2) <=> v127(constB81, bitIndex2)))),
% 14.69/9.95 inference(rewrite,[status(thm)],[])).
% 14.69/9.95 tff(11953,plain,
% 14.69/9.95 ((~![B: $i] : ((~less_3(B)) | (v129(constB82, B) <=> v127(constB81, B)))) | ((~less_3(bitIndex2)) | (v129(constB82, bitIndex2) <=> v127(constB81, bitIndex2)))),
% 14.69/9.95 inference(quant_inst,[status(thm)],[])).
% 14.69/9.95 tff(11954,plain,
% 14.69/9.95 ((~![B: $i] : ((~less_3(B)) | (v129(constB82, B) <=> v127(constB81, B)))) | (~less_3(bitIndex2)) | (v129(constB82, bitIndex2) <=> v127(constB81, bitIndex2))),
% 14.69/9.95 inference(modus_ponens,[status(thm)],[11953, 11952])).
% 14.69/9.95 tff(11955,plain,
% 14.69/9.95 (v129(constB82, bitIndex2) <=> v127(constB81, bitIndex2)),
% 14.69/9.95 inference(unit_resolution,[status(thm)],[11954, 413, 11951])).
% 14.69/9.95 tff(11956,plain,
% 14.69/9.95 (((~![VarCurr: $i] : (v111(VarCurr) | ![B: $i] : ((~less_3(B)) | (v127(VarCurr, B) <=> v130(VarCurr, B))))) | (v111(constB81) | ![B: $i] : ((~less_3(B)) | (v127(constB81, B) <=> v130(constB81, B))))) <=> ((~![VarCurr: $i] : (v111(VarCurr) | ![B: $i] : ((~less_3(B)) | (v127(VarCurr, B) <=> v130(VarCurr, B))))) | v111(constB81) | ![B: $i] : ((~less_3(B)) | (v127(constB81, B) <=> v130(constB81, B))))),
% 14.69/9.95 inference(rewrite,[status(thm)],[])).
% 14.69/9.95 tff(11957,plain,
% 14.69/9.95 ((~![VarCurr: $i] : (v111(VarCurr) | ![B: $i] : ((~less_3(B)) | (v127(VarCurr, B) <=> v130(VarCurr, B))))) | (v111(constB81) | ![B: $i] : ((~less_3(B)) | (v127(constB81, B) <=> v130(constB81, B))))),
% 14.69/9.95 inference(quant_inst,[status(thm)],[])).
% 14.69/9.95 tff(11958,plain,
% 14.69/9.95 ((~![VarCurr: $i] : (v111(VarCurr) | ![B: $i] : ((~less_3(B)) | (v127(VarCurr, B) <=> v130(VarCurr, B))))) | v111(constB81) | ![B: $i] : ((~less_3(B)) | (v127(constB81, B) <=> v130(constB81, B)))),
% 14.69/9.95 inference(modus_ponens,[status(thm)],[11957, 11956])).
% 14.69/9.95 tff(11959,plain,
% 14.69/9.95 (![B: $i] : ((~less_3(B)) | (v127(constB81, B) <=> v130(constB81, B)))),
% 14.69/9.95 inference(unit_resolution,[status(thm)],[11958, 5177, 11920])).
% 14.69/9.95 tff(11960,plain,
% 14.69/9.95 (((~![B: $i] : ((~less_3(B)) | (v127(constB81, B) <=> v130(constB81, B)))) | ((~less_3(bitIndex2)) | (v127(constB81, bitIndex2) <=> v130(constB81, bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v127(constB81, B) <=> v130(constB81, B)))) | (~less_3(bitIndex2)) | (v127(constB81, bitIndex2) <=> v130(constB81, bitIndex2)))),
% 14.69/9.95 inference(rewrite,[status(thm)],[])).
% 14.69/9.95 tff(11961,plain,
% 14.69/9.95 ((~![B: $i] : ((~less_3(B)) | (v127(constB81, B) <=> v130(constB81, B)))) | ((~less_3(bitIndex2)) | (v127(constB81, bitIndex2) <=> v130(constB81, bitIndex2)))),
% 14.69/9.95 inference(quant_inst,[status(thm)],[])).
% 14.69/9.95 tff(11962,plain,
% 14.69/9.95 ((~![B: $i] : ((~less_3(B)) | (v127(constB81, B) <=> v130(constB81, B)))) | (~less_3(bitIndex2)) | (v127(constB81, bitIndex2) <=> v130(constB81, bitIndex2))),
% 14.69/9.95 inference(modus_ponens,[status(thm)],[11961, 11960])).
% 14.69/9.95 tff(11963,plain,
% 14.69/9.95 (v127(constB81, bitIndex2) <=> v130(constB81, bitIndex2)),
% 14.69/9.95 inference(unit_resolution,[status(thm)],[11962, 413, 11959])).
% 14.69/9.95 tff(11964,plain,
% 14.69/9.95 (((~![VarCurr: $i] : ((~v122(VarCurr)) | ![B: $i] : ((~less_3(B)) | (v130(VarCurr, B) <=> b100(B))))) | ((~v122(constB81)) | ![B: $i] : ((~less_3(B)) | (v130(constB81, B) <=> b100(B))))) <=> ((~![VarCurr: $i] : ((~v122(VarCurr)) | ![B: $i] : ((~less_3(B)) | (v130(VarCurr, B) <=> b100(B))))) | (~v122(constB81)) | ![B: $i] : ((~less_3(B)) | (v130(constB81, B) <=> b100(B))))),
% 14.69/9.95 inference(rewrite,[status(thm)],[])).
% 14.69/9.95 tff(11965,plain,
% 14.69/9.95 ((~![VarCurr: $i] : ((~v122(VarCurr)) | ![B: $i] : ((~less_3(B)) | (v130(VarCurr, B) <=> b100(B))))) | ((~v122(constB81)) | ![B: $i] : ((~less_3(B)) | (v130(constB81, B) <=> b100(B))))),
% 14.69/9.95 inference(quant_inst,[status(thm)],[])).
% 14.69/9.95 tff(11966,plain,
% 14.69/9.95 ((~![VarCurr: $i] : ((~v122(VarCurr)) | ![B: $i] : ((~less_3(B)) | (v130(VarCurr, B) <=> b100(B))))) | (~v122(constB81)) | ![B: $i] : ((~less_3(B)) | (v130(constB81, B) <=> b100(B)))),
% 14.69/9.95 inference(modus_ponens,[status(thm)],[11965, 11964])).
% 14.69/9.95 tff(11967,plain,
% 14.69/9.95 ((~v122(constB81)) | ![B: $i] : ((~less_3(B)) | (v130(constB81, B) <=> b100(B)))),
% 14.69/9.95 inference(unit_resolution,[status(thm)],[11966, 6153])).
% 14.69/9.95 tff(11968,plain,
% 14.69/9.95 (![B: $i] : ((~less_3(B)) | (v130(constB81, B) <=> b100(B)))),
% 14.69/9.95 inference(unit_resolution,[status(thm)],[11967, 11895])).
% 14.69/9.95 tff(11969,plain,
% 14.69/9.95 (((~![B: $i] : ((~less_3(B)) | (v130(constB81, B) <=> b100(B)))) | ((~less_3(bitIndex2)) | (v130(constB81, bitIndex2) <=> b100(bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v130(constB81, B) <=> b100(B)))) | (~less_3(bitIndex2)) | (v130(constB81, bitIndex2) <=> b100(bitIndex2)))),
% 14.69/9.95 inference(rewrite,[status(thm)],[])).
% 14.69/9.95 tff(11970,plain,
% 14.69/9.95 ((~![B: $i] : ((~less_3(B)) | (v130(constB81, B) <=> b100(B)))) | ((~less_3(bitIndex2)) | (v130(constB81, bitIndex2) <=> b100(bitIndex2)))),
% 14.69/9.95 inference(quant_inst,[status(thm)],[])).
% 14.69/9.95 tff(11971,plain,
% 14.69/9.95 ((~![B: $i] : ((~less_3(B)) | (v130(constB81, B) <=> b100(B)))) | (~less_3(bitIndex2)) | (v130(constB81, bitIndex2) <=> b100(bitIndex2))),
% 14.69/9.95 inference(modus_ponens,[status(thm)],[11970, 11969])).
% 14.69/9.95 tff(11972,plain,
% 14.69/9.95 (v130(constB81, bitIndex2) <=> b100(bitIndex2)),
% 14.69/9.95 inference(unit_resolution,[status(thm)],[11971, 413, 11968])).
% 14.69/9.95 tff(11973,plain,
% 14.69/9.95 ((~(v130(constB81, bitIndex2) <=> b100(bitIndex2))) | v130(constB81, bitIndex2) | (~b100(bitIndex2))),
% 14.69/9.95 inference(tautology,[status(thm)],[])).
% 14.69/9.95 tff(11974,plain,
% 14.69/9.95 ((~(v130(constB81, bitIndex2) <=> b100(bitIndex2))) | v130(constB81, bitIndex2)),
% 14.69/9.95 inference(unit_resolution,[status(thm)],[11973, 5209])).
% 14.69/9.95 tff(11975,plain,
% 14.69/9.95 (v130(constB81, bitIndex2)),
% 14.69/9.95 inference(unit_resolution,[status(thm)],[11974, 11972])).
% 14.69/9.95 tff(11976,plain,
% 14.69/9.95 ((~(v127(constB81, bitIndex2) <=> v130(constB81, bitIndex2))) | v127(constB81, bitIndex2) | (~v130(constB81, bitIndex2))),
% 14.69/9.95 inference(tautology,[status(thm)],[])).
% 14.69/9.95 tff(11977,plain,
% 14.69/9.95 (v127(constB81, bitIndex2)),
% 14.69/9.95 inference(unit_resolution,[status(thm)],[11976, 11975, 11963])).
% 14.69/9.95 tff(11978,plain,
% 14.69/9.95 ((~(v129(constB82, bitIndex2) <=> v127(constB81, bitIndex2))) | v129(constB82, bitIndex2) | (~v127(constB81, bitIndex2))),
% 14.69/9.95 inference(tautology,[status(thm)],[])).
% 14.69/9.95 tff(11979,plain,
% 14.69/9.95 (v129(constB82, bitIndex2)),
% 14.69/9.95 inference(unit_resolution,[status(thm)],[11978, 11977, 11955])).
% 14.69/9.95 tff(11980,plain,
% 14.69/9.95 ((~(v90(constB82, bitIndex2) <=> v129(constB82, bitIndex2))) | v90(constB82, bitIndex2) | (~v129(constB82, bitIndex2))),
% 14.69/9.95 inference(tautology,[status(thm)],[])).
% 14.69/9.95 tff(11981,plain,
% 14.69/9.95 (v90(constB82, bitIndex2)),
% 14.69/9.95 inference(unit_resolution,[status(thm)],[11980, 11979, 11947])).
% 14.69/9.95 tff(11982,plain,
% 14.69/9.95 ((~(v90(constB83, bitIndex2) <=> v90(constB82, bitIndex2))) | v90(constB83, bitIndex2) | (~v90(constB82, bitIndex2))),
% 14.69/9.95 inference(tautology,[status(thm)],[])).
% 14.69/9.95 tff(11983,plain,
% 14.69/9.95 (v90(constB83, bitIndex2)),
% 14.69/9.95 inference(unit_resolution,[status(thm)],[11982, 11981, 1196])).
% 14.69/9.95 tff(11984,plain,
% 14.69/9.95 (((~![B: $i] : ((~less_3(B)) | (v90(constB83, B) <=> v90(constB82, B)))) | ((~less_3(bitIndex0)) | (v90(constB83, bitIndex0) <=> v90(constB82, bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v90(constB83, B) <=> v90(constB82, B)))) | (~less_3(bitIndex0)) | (v90(constB83, bitIndex0) <=> v90(constB82, bitIndex0)))),
% 14.69/9.95 inference(rewrite,[status(thm)],[])).
% 14.69/9.95 tff(11985,plain,
% 14.69/9.95 ((~![B: $i] : ((~less_3(B)) | (v90(constB83, B) <=> v90(constB82, B)))) | ((~less_3(bitIndex0)) | (v90(constB83, bitIndex0) <=> v90(constB82, bitIndex0)))),
% 14.69/9.95 inference(quant_inst,[status(thm)],[])).
% 14.69/9.95 tff(11986,plain,
% 14.69/9.95 ((~![B: $i] : ((~less_3(B)) | (v90(constB83, B) <=> v90(constB82, B)))) | (~less_3(bitIndex0)) | (v90(constB83, bitIndex0) <=> v90(constB82, bitIndex0))),
% 14.69/9.95 inference(modus_ponens,[status(thm)],[11985, 11984])).
% 14.69/9.95 tff(11987,plain,
% 14.69/9.95 (v90(constB83, bitIndex0) <=> v90(constB82, bitIndex0)),
% 14.69/9.95 inference(unit_resolution,[status(thm)],[11986, 5004, 1192])).
% 14.69/9.95 tff(11988,plain,
% 14.69/9.95 (((~![B: $i] : ((~less_3(B)) | (v90(constB82, B) <=> v129(constB82, B)))) | ((~less_3(bitIndex0)) | (v90(constB82, bitIndex0) <=> v129(constB82, bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v90(constB82, B) <=> v129(constB82, B)))) | (~less_3(bitIndex0)) | (v90(constB82, bitIndex0) <=> v129(constB82, bitIndex0)))),
% 14.69/9.95 inference(rewrite,[status(thm)],[])).
% 14.69/9.95 tff(11989,plain,
% 14.69/9.95 ((~![B: $i] : ((~less_3(B)) | (v90(constB82, B) <=> v129(constB82, B)))) | ((~less_3(bitIndex0)) | (v90(constB82, bitIndex0) <=> v129(constB82, bitIndex0)))),
% 14.69/9.95 inference(quant_inst,[status(thm)],[])).
% 14.69/9.95 tff(11990,plain,
% 14.69/9.95 ((~![B: $i] : ((~less_3(B)) | (v90(constB82, B) <=> v129(constB82, B)))) | (~less_3(bitIndex0)) | (v90(constB82, bitIndex0) <=> v129(constB82, bitIndex0))),
% 14.69/9.95 inference(modus_ponens,[status(thm)],[11989, 11988])).
% 14.69/9.95 tff(11991,plain,
% 14.69/9.95 (v90(constB82, bitIndex0) <=> v129(constB82, bitIndex0)),
% 14.69/9.95 inference(unit_resolution,[status(thm)],[11990, 5004, 11943])).
% 14.69/9.95 tff(11992,plain,
% 14.69/9.95 (((~![B: $i] : ((~less_3(B)) | (v129(constB82, B) <=> v127(constB81, B)))) | ((~less_3(bitIndex0)) | (v129(constB82, bitIndex0) <=> v127(constB81, bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v129(constB82, B) <=> v127(constB81, B)))) | (~less_3(bitIndex0)) | (v129(constB82, bitIndex0) <=> v127(constB81, bitIndex0)))),
% 14.69/9.95 inference(rewrite,[status(thm)],[])).
% 14.69/9.95 tff(11993,plain,
% 14.69/9.95 ((~![B: $i] : ((~less_3(B)) | (v129(constB82, B) <=> v127(constB81, B)))) | ((~less_3(bitIndex0)) | (v129(constB82, bitIndex0) <=> v127(constB81, bitIndex0)))),
% 14.69/9.95 inference(quant_inst,[status(thm)],[])).
% 14.69/9.95 tff(11994,plain,
% 14.69/9.95 ((~![B: $i] : ((~less_3(B)) | (v129(constB82, B) <=> v127(constB81, B)))) | (~less_3(bitIndex0)) | (v129(constB82, bitIndex0) <=> v127(constB81, bitIndex0))),
% 14.69/9.95 inference(modus_ponens,[status(thm)],[11993, 11992])).
% 14.69/9.95 tff(11995,plain,
% 14.69/9.95 (v129(constB82, bitIndex0) <=> v127(constB81, bitIndex0)),
% 14.69/9.95 inference(unit_resolution,[status(thm)],[11994, 5004, 11951])).
% 14.69/9.95 tff(11996,plain,
% 14.69/9.95 (((~![B: $i] : ((~less_3(B)) | (v127(constB81, B) <=> v130(constB81, B)))) | ((~less_3(bitIndex0)) | (v127(constB81, bitIndex0) <=> v130(constB81, bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v127(constB81, B) <=> v130(constB81, B)))) | (~less_3(bitIndex0)) | (v127(constB81, bitIndex0) <=> v130(constB81, bitIndex0)))),
% 14.69/9.95 inference(rewrite,[status(thm)],[])).
% 14.69/9.95 tff(11997,plain,
% 14.69/9.95 ((~![B: $i] : ((~less_3(B)) | (v127(constB81, B) <=> v130(constB81, B)))) | ((~less_3(bitIndex0)) | (v127(constB81, bitIndex0) <=> v130(constB81, bitIndex0)))),
% 14.69/9.95 inference(quant_inst,[status(thm)],[])).
% 14.69/9.95 tff(11998,plain,
% 14.69/9.95 ((~![B: $i] : ((~less_3(B)) | (v127(constB81, B) <=> v130(constB81, B)))) | (~less_3(bitIndex0)) | (v127(constB81, bitIndex0) <=> v130(constB81, bitIndex0))),
% 14.69/9.95 inference(modus_ponens,[status(thm)],[11997, 11996])).
% 14.69/9.95 tff(11999,plain,
% 14.69/9.95 (v127(constB81, bitIndex0) <=> v130(constB81, bitIndex0)),
% 14.69/9.95 inference(unit_resolution,[status(thm)],[11998, 5004, 11959])).
% 14.69/9.95 tff(12000,plain,
% 14.69/9.95 (((~![B: $i] : ((~less_3(B)) | (v130(constB81, B) <=> b100(B)))) | ((~less_3(bitIndex0)) | (v130(constB81, bitIndex0) <=> b100(bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v130(constB81, B) <=> b100(B)))) | (~less_3(bitIndex0)) | (v130(constB81, bitIndex0) <=> b100(bitIndex0)))),
% 14.69/9.95 inference(rewrite,[status(thm)],[])).
% 14.69/9.95 tff(12001,plain,
% 14.69/9.95 ((~![B: $i] : ((~less_3(B)) | (v130(constB81, B) <=> b100(B)))) | ((~less_3(bitIndex0)) | (v130(constB81, bitIndex0) <=> b100(bitIndex0)))),
% 14.69/9.95 inference(quant_inst,[status(thm)],[])).
% 14.69/9.95 tff(12002,plain,
% 14.69/9.95 ((~![B: $i] : ((~less_3(B)) | (v130(constB81, B) <=> b100(B)))) | (~less_3(bitIndex0)) | (v130(constB81, bitIndex0) <=> b100(bitIndex0))),
% 14.69/9.95 inference(modus_ponens,[status(thm)],[12001, 12000])).
% 14.69/9.95 tff(12003,plain,
% 14.69/9.95 (v130(constB81, bitIndex0) <=> b100(bitIndex0)),
% 14.69/9.95 inference(unit_resolution,[status(thm)],[12002, 5004, 11968])).
% 14.69/9.95 tff(12004,plain,
% 14.69/9.95 ((~(v130(constB81, bitIndex0) <=> b100(bitIndex0))) | (~v130(constB81, bitIndex0)) | b100(bitIndex0)),
% 14.69/9.95 inference(tautology,[status(thm)],[])).
% 14.69/9.95 tff(12005,plain,
% 14.69/9.95 ((~(v130(constB81, bitIndex0) <=> b100(bitIndex0))) | (~v130(constB81, bitIndex0))),
% 14.69/9.95 inference(unit_resolution,[status(thm)],[12004, 5243])).
% 14.69/9.95 tff(12006,plain,
% 14.69/9.95 (~v130(constB81, bitIndex0)),
% 14.69/9.95 inference(unit_resolution,[status(thm)],[12005, 12003])).
% 14.69/9.95 tff(12007,plain,
% 14.69/9.95 ((~(v127(constB81, bitIndex0) <=> v130(constB81, bitIndex0))) | (~v127(constB81, bitIndex0)) | v130(constB81, bitIndex0)),
% 14.69/9.95 inference(tautology,[status(thm)],[])).
% 14.69/9.95 tff(12008,plain,
% 14.69/9.95 (~v127(constB81, bitIndex0)),
% 14.69/9.95 inference(unit_resolution,[status(thm)],[12007, 12006, 11999])).
% 14.69/9.95 tff(12009,plain,
% 14.69/9.95 ((~(v129(constB82, bitIndex0) <=> v127(constB81, bitIndex0))) | (~v129(constB82, bitIndex0)) | v127(constB81, bitIndex0)),
% 14.69/9.95 inference(tautology,[status(thm)],[])).
% 14.69/9.95 tff(12010,plain,
% 14.69/9.95 (~v129(constB82, bitIndex0)),
% 14.69/9.95 inference(unit_resolution,[status(thm)],[12009, 12008, 11995])).
% 14.69/9.95 tff(12011,plain,
% 14.69/9.95 ((~(v90(constB82, bitIndex0) <=> v129(constB82, bitIndex0))) | (~v90(constB82, bitIndex0)) | v129(constB82, bitIndex0)),
% 14.69/9.95 inference(tautology,[status(thm)],[])).
% 14.69/9.95 tff(12012,plain,
% 14.69/9.95 (~v90(constB82, bitIndex0)),
% 14.69/9.95 inference(unit_resolution,[status(thm)],[12011, 12010, 11991])).
% 14.69/9.95 tff(12013,plain,
% 14.69/9.95 ((~(v90(constB83, bitIndex0) <=> v90(constB82, bitIndex0))) | (~v90(constB83, bitIndex0)) | v90(constB82, bitIndex0)),
% 14.69/9.95 inference(tautology,[status(thm)],[])).
% 14.69/9.95 tff(12014,plain,
% 14.69/9.95 (~v90(constB83, bitIndex0)),
% 14.69/9.95 inference(unit_resolution,[status(thm)],[12013, 12012, 11987])).
% 14.69/9.95 tff(12015,plain,
% 14.69/9.95 (((~![B: $i] : ((~less_3(B)) | (v90(constB83, B) <=> v90(constB82, B)))) | ((~less_3(bitIndex1)) | (v90(constB83, bitIndex1) <=> v90(constB82, bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v90(constB83, B) <=> v90(constB82, B)))) | (~less_3(bitIndex1)) | (v90(constB83, bitIndex1) <=> v90(constB82, bitIndex1)))),
% 14.69/9.95 inference(rewrite,[status(thm)],[])).
% 14.69/9.95 tff(12016,plain,
% 14.69/9.95 ((~![B: $i] : ((~less_3(B)) | (v90(constB83, B) <=> v90(constB82, B)))) | ((~less_3(bitIndex1)) | (v90(constB83, bitIndex1) <=> v90(constB82, bitIndex1)))),
% 14.69/9.95 inference(quant_inst,[status(thm)],[])).
% 14.69/9.95 tff(12017,plain,
% 14.69/9.95 ((~![B: $i] : ((~less_3(B)) | (v90(constB83, B) <=> v90(constB82, B)))) | (~less_3(bitIndex1)) | (v90(constB83, bitIndex1) <=> v90(constB82, bitIndex1))),
% 14.69/9.95 inference(modus_ponens,[status(thm)],[12016, 12015])).
% 14.69/9.95 tff(12018,plain,
% 14.69/9.95 (v90(constB83, bitIndex1) <=> v90(constB82, bitIndex1)),
% 14.69/9.95 inference(unit_resolution,[status(thm)],[12017, 5017, 1192])).
% 14.69/9.95 tff(12019,plain,
% 14.69/9.95 (((~![B: $i] : ((~less_3(B)) | (v90(constB82, B) <=> v129(constB82, B)))) | ((~less_3(bitIndex1)) | (v90(constB82, bitIndex1) <=> v129(constB82, bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v90(constB82, B) <=> v129(constB82, B)))) | (~less_3(bitIndex1)) | (v90(constB82, bitIndex1) <=> v129(constB82, bitIndex1)))),
% 14.69/9.95 inference(rewrite,[status(thm)],[])).
% 14.69/9.95 tff(12020,plain,
% 14.69/9.95 ((~![B: $i] : ((~less_3(B)) | (v90(constB82, B) <=> v129(constB82, B)))) | ((~less_3(bitIndex1)) | (v90(constB82, bitIndex1) <=> v129(constB82, bitIndex1)))),
% 14.69/9.95 inference(quant_inst,[status(thm)],[])).
% 14.69/9.96 tff(12021,plain,
% 14.69/9.96 ((~![B: $i] : ((~less_3(B)) | (v90(constB82, B) <=> v129(constB82, B)))) | (~less_3(bitIndex1)) | (v90(constB82, bitIndex1) <=> v129(constB82, bitIndex1))),
% 14.69/9.96 inference(modus_ponens,[status(thm)],[12020, 12019])).
% 14.69/9.96 tff(12022,plain,
% 14.69/9.96 (v90(constB82, bitIndex1) <=> v129(constB82, bitIndex1)),
% 14.69/9.96 inference(unit_resolution,[status(thm)],[12021, 5017, 11943])).
% 14.69/9.96 tff(12023,plain,
% 14.69/9.96 (((~![B: $i] : ((~less_3(B)) | (v129(constB82, B) <=> v127(constB81, B)))) | ((~less_3(bitIndex1)) | (v129(constB82, bitIndex1) <=> v127(constB81, bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v129(constB82, B) <=> v127(constB81, B)))) | (~less_3(bitIndex1)) | (v129(constB82, bitIndex1) <=> v127(constB81, bitIndex1)))),
% 14.69/9.96 inference(rewrite,[status(thm)],[])).
% 14.69/9.96 tff(12024,plain,
% 14.69/9.96 ((~![B: $i] : ((~less_3(B)) | (v129(constB82, B) <=> v127(constB81, B)))) | ((~less_3(bitIndex1)) | (v129(constB82, bitIndex1) <=> v127(constB81, bitIndex1)))),
% 14.69/9.96 inference(quant_inst,[status(thm)],[])).
% 14.69/9.96 tff(12025,plain,
% 14.69/9.96 ((~![B: $i] : ((~less_3(B)) | (v129(constB82, B) <=> v127(constB81, B)))) | (~less_3(bitIndex1)) | (v129(constB82, bitIndex1) <=> v127(constB81, bitIndex1))),
% 14.69/9.96 inference(modus_ponens,[status(thm)],[12024, 12023])).
% 14.69/9.96 tff(12026,plain,
% 14.69/9.96 (v129(constB82, bitIndex1) <=> v127(constB81, bitIndex1)),
% 14.69/9.96 inference(unit_resolution,[status(thm)],[12025, 5017, 11951])).
% 14.69/9.96 tff(12027,plain,
% 14.69/9.96 (((~![B: $i] : ((~less_3(B)) | (v127(constB81, B) <=> v130(constB81, B)))) | ((~less_3(bitIndex1)) | (v127(constB81, bitIndex1) <=> v130(constB81, bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v127(constB81, B) <=> v130(constB81, B)))) | (~less_3(bitIndex1)) | (v127(constB81, bitIndex1) <=> v130(constB81, bitIndex1)))),
% 14.69/9.96 inference(rewrite,[status(thm)],[])).
% 14.69/9.96 tff(12028,plain,
% 14.69/9.96 ((~![B: $i] : ((~less_3(B)) | (v127(constB81, B) <=> v130(constB81, B)))) | ((~less_3(bitIndex1)) | (v127(constB81, bitIndex1) <=> v130(constB81, bitIndex1)))),
% 14.69/9.96 inference(quant_inst,[status(thm)],[])).
% 14.69/9.96 tff(12029,plain,
% 14.69/9.96 ((~![B: $i] : ((~less_3(B)) | (v127(constB81, B) <=> v130(constB81, B)))) | (~less_3(bitIndex1)) | (v127(constB81, bitIndex1) <=> v130(constB81, bitIndex1))),
% 14.69/9.96 inference(modus_ponens,[status(thm)],[12028, 12027])).
% 14.69/9.96 tff(12030,plain,
% 14.69/9.96 (v127(constB81, bitIndex1) <=> v130(constB81, bitIndex1)),
% 14.69/9.96 inference(unit_resolution,[status(thm)],[12029, 5017, 11959])).
% 14.69/9.96 tff(12031,plain,
% 14.69/9.96 (((~![B: $i] : ((~less_3(B)) | (v130(constB81, B) <=> b100(B)))) | ((~less_3(bitIndex1)) | (v130(constB81, bitIndex1) <=> b100(bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v130(constB81, B) <=> b100(B)))) | (~less_3(bitIndex1)) | (v130(constB81, bitIndex1) <=> b100(bitIndex1)))),
% 14.69/9.96 inference(rewrite,[status(thm)],[])).
% 14.69/9.96 tff(12032,plain,
% 14.69/9.96 ((~![B: $i] : ((~less_3(B)) | (v130(constB81, B) <=> b100(B)))) | ((~less_3(bitIndex1)) | (v130(constB81, bitIndex1) <=> b100(bitIndex1)))),
% 14.69/9.96 inference(quant_inst,[status(thm)],[])).
% 14.69/9.96 tff(12033,plain,
% 14.69/9.96 ((~![B: $i] : ((~less_3(B)) | (v130(constB81, B) <=> b100(B)))) | (~less_3(bitIndex1)) | (v130(constB81, bitIndex1) <=> b100(bitIndex1))),
% 14.69/9.96 inference(modus_ponens,[status(thm)],[12032, 12031])).
% 14.69/9.96 tff(12034,plain,
% 14.69/9.96 (v130(constB81, bitIndex1) <=> b100(bitIndex1)),
% 14.69/9.96 inference(unit_resolution,[status(thm)],[12033, 5017, 11968])).
% 14.69/9.96 tff(12035,plain,
% 14.69/9.96 ((~(v130(constB81, bitIndex1) <=> b100(bitIndex1))) | (~v130(constB81, bitIndex1)) | b100(bitIndex1)),
% 14.69/9.96 inference(tautology,[status(thm)],[])).
% 14.69/9.96 tff(12036,plain,
% 14.69/9.96 ((~(v130(constB81, bitIndex1) <=> b100(bitIndex1))) | (~v130(constB81, bitIndex1))),
% 14.69/9.96 inference(unit_resolution,[status(thm)],[12035, 5277])).
% 14.69/9.96 tff(12037,plain,
% 14.69/9.96 (~v130(constB81, bitIndex1)),
% 14.69/9.96 inference(unit_resolution,[status(thm)],[12036, 12034])).
% 14.69/9.96 tff(12038,plain,
% 14.69/9.96 ((~(v127(constB81, bitIndex1) <=> v130(constB81, bitIndex1))) | (~v127(constB81, bitIndex1)) | v130(constB81, bitIndex1)),
% 14.69/9.96 inference(tautology,[status(thm)],[])).
% 14.69/9.96 tff(12039,plain,
% 14.69/9.96 (~v127(constB81, bitIndex1)),
% 14.69/9.96 inference(unit_resolution,[status(thm)],[12038, 12037, 12030])).
% 14.69/9.96 tff(12040,plain,
% 14.69/9.96 ((~(v129(constB82, bitIndex1) <=> v127(constB81, bitIndex1))) | (~v129(constB82, bitIndex1)) | v127(constB81, bitIndex1)),
% 14.69/9.96 inference(tautology,[status(thm)],[])).
% 14.69/9.96 tff(12041,plain,
% 14.69/9.96 (~v129(constB82, bitIndex1)),
% 14.69/9.96 inference(unit_resolution,[status(thm)],[12040, 12039, 12026])).
% 14.69/9.96 tff(12042,plain,
% 14.69/9.96 ((~(v90(constB82, bitIndex1) <=> v129(constB82, bitIndex1))) | (~v90(constB82, bitIndex1)) | v129(constB82, bitIndex1)),
% 14.69/9.96 inference(tautology,[status(thm)],[])).
% 14.69/9.96 tff(12043,plain,
% 14.69/9.96 (~v90(constB82, bitIndex1)),
% 14.69/9.96 inference(unit_resolution,[status(thm)],[12042, 12041, 12022])).
% 14.69/9.96 tff(12044,plain,
% 14.69/9.96 ((~(v90(constB83, bitIndex1) <=> v90(constB82, bitIndex1))) | (~v90(constB83, bitIndex1)) | v90(constB82, bitIndex1)),
% 14.69/9.96 inference(tautology,[status(thm)],[])).
% 14.69/9.96 tff(12045,plain,
% 14.69/9.96 (~v90(constB83, bitIndex1)),
% 14.69/9.96 inference(unit_resolution,[status(thm)],[12044, 12043, 12018])).
% 14.69/9.96 tff(12046,plain,
% 14.69/9.96 ((~((~v90(constB83, bitIndex2)) | v90(constB83, bitIndex1) | v90(constB83, bitIndex0))) | (~v90(constB83, bitIndex2)) | v90(constB83, bitIndex1) | v90(constB83, bitIndex0)),
% 14.69/9.96 inference(tautology,[status(thm)],[])).
% 14.69/9.96 tff(12047,plain,
% 14.69/9.96 (~((~v90(constB83, bitIndex2)) | v90(constB83, bitIndex1) | v90(constB83, bitIndex0))),
% 14.69/9.96 inference(unit_resolution,[status(thm)],[12046, 12045, 12014, 11983])).
% 14.69/9.96 tff(12048,plain,
% 14.69/9.96 ((~(v123(constB83) <=> (~((~v90(constB83, bitIndex2)) | v90(constB83, bitIndex1) | v90(constB83, bitIndex0))))) | v123(constB83) | ((~v90(constB83, bitIndex2)) | v90(constB83, bitIndex1) | v90(constB83, bitIndex0))),
% 14.69/9.96 inference(tautology,[status(thm)],[])).
% 14.69/9.96 tff(12049,plain,
% 14.69/9.96 (v123(constB83)),
% 14.69/9.96 inference(unit_resolution,[status(thm)],[12048, 12047, 1164])).
% 14.69/9.96 tff(12050,plain,
% 14.69/9.96 ((v116(constB83) | v123(constB83)) | (~v123(constB83))),
% 14.69/9.96 inference(tautology,[status(thm)],[])).
% 14.69/9.96 tff(12051,plain,
% 14.69/9.96 (v116(constB83) | v123(constB83)),
% 14.69/9.96 inference(unit_resolution,[status(thm)],[12050, 12049])).
% 14.69/9.96 tff(12052,plain,
% 14.69/9.96 ((~(v115(constB83) <=> (v116(constB83) | v123(constB83)))) | v115(constB83) | (~(v116(constB83) | v123(constB83)))),
% 14.69/9.96 inference(tautology,[status(thm)],[])).
% 14.69/9.96 tff(12053,plain,
% 14.69/9.96 (v115(constB83)),
% 14.69/9.96 inference(unit_resolution,[status(thm)],[12052, 12051, 1157])).
% 14.69/9.96 tff(12054,plain,
% 14.69/9.96 ((v115(constB83) | v124(constB83)) | (~v115(constB83))),
% 14.69/9.96 inference(tautology,[status(thm)],[])).
% 14.69/9.96 tff(12055,plain,
% 14.69/9.96 (v115(constB83) | v124(constB83)),
% 14.69/9.96 inference(unit_resolution,[status(thm)],[12054, 12053])).
% 14.69/9.96 tff(12056,plain,
% 14.69/9.96 ((~(v114(constB83) <=> (v115(constB83) | v124(constB83)))) | v114(constB83) | (~(v115(constB83) | v124(constB83)))),
% 14.69/9.96 inference(tautology,[status(thm)],[])).
% 14.69/9.96 tff(12057,plain,
% 14.69/9.96 (v114(constB83)),
% 14.69/9.96 inference(unit_resolution,[status(thm)],[12056, 12055, 1155])).
% 14.69/9.96 tff(12058,plain,
% 14.69/9.96 ((v114(constB83) | v125(constB83)) | (~v114(constB83))),
% 14.69/9.96 inference(tautology,[status(thm)],[])).
% 14.69/9.96 tff(12059,plain,
% 14.69/9.96 (v114(constB83) | v125(constB83)),
% 14.69/9.96 inference(unit_resolution,[status(thm)],[12058, 12057])).
% 14.69/9.96 tff(12060,plain,
% 14.69/9.96 ((~(v113(constB83) <=> (v114(constB83) | v125(constB83)))) | v113(constB83) | (~(v114(constB83) | v125(constB83)))),
% 14.69/9.96 inference(tautology,[status(thm)],[])).
% 14.69/9.96 tff(12061,plain,
% 14.69/9.96 (v113(constB83)),
% 14.69/9.96 inference(unit_resolution,[status(thm)],[12060, 12059, 1153])).
% 14.69/9.96 tff(12062,plain,
% 14.69/9.96 ((~![VarCurr: $i] : ((~v126(VarCurr)) <=> v111(VarCurr))) | ((~v126(constB83)) <=> v111(constB83))),
% 14.69/9.96 inference(quant_inst,[status(thm)],[])).
% 14.69/9.96 tff(12063,plain,
% 14.69/9.96 ((~v126(constB83)) <=> v111(constB83)),
% 14.69/9.96 inference(unit_resolution,[status(thm)],[12062, 5074])).
% 14.69/9.96 tff(12064,plain,
% 14.69/9.96 ((~![VarCurr: $i] : (v111(VarCurr) <=> v26(VarCurr))) | (v111(constB83) <=> v26(constB83))),
% 14.69/9.96 inference(quant_inst,[status(thm)],[])).
% 14.69/9.96 tff(12065,plain,
% 14.69/9.96 (v111(constB83) <=> v26(constB83)),
% 14.69/9.96 inference(unit_resolution,[status(thm)],[12064, 5086])).
% 14.69/9.96 tff(12066,plain,
% 14.69/9.96 ((~![VarCurr: $i] : (~v26(VarCurr))) | (~v26(constB83))),
% 14.69/9.96 inference(quant_inst,[status(thm)],[])).
% 14.69/9.96 tff(12067,plain,
% 14.69/9.96 (~v26(constB83)),
% 14.69/9.96 inference(unit_resolution,[status(thm)],[12066, 5098])).
% 14.69/9.96 tff(12068,plain,
% 14.69/9.96 ((~(v111(constB83) <=> v26(constB83))) | (~v111(constB83)) | v26(constB83)),
% 14.69/9.96 inference(tautology,[status(thm)],[])).
% 14.69/9.96 tff(12069,plain,
% 14.69/9.96 ((~(v111(constB83) <=> v26(constB83))) | (~v111(constB83))),
% 14.69/9.96 inference(unit_resolution,[status(thm)],[12068, 12067])).
% 14.69/9.96 tff(12070,plain,
% 14.69/9.96 (~v111(constB83)),
% 14.69/9.96 inference(unit_resolution,[status(thm)],[12069, 12065])).
% 14.69/9.96 tff(12071,plain,
% 14.69/9.96 ((~((~v126(constB83)) <=> v111(constB83))) | v126(constB83) | v111(constB83)),
% 14.69/9.96 inference(tautology,[status(thm)],[])).
% 14.69/9.96 tff(12072,plain,
% 14.69/9.96 ((~((~v126(constB83)) <=> v111(constB83))) | v126(constB83)),
% 14.69/9.96 inference(unit_resolution,[status(thm)],[12071, 12070])).
% 14.69/9.96 tff(12073,plain,
% 14.69/9.96 (v126(constB83)),
% 14.69/9.96 inference(unit_resolution,[status(thm)],[12072, 12063])).
% 14.69/9.96 tff(12074,plain,
% 14.69/9.96 ((~((~v113(constB83)) | (~v126(constB83)))) | (~v113(constB83)) | (~v126(constB83))),
% 14.69/9.96 inference(tautology,[status(thm)],[])).
% 14.69/9.96 tff(12075,plain,
% 14.69/9.96 ((~((~v113(constB83)) | (~v126(constB83)))) | (~v113(constB83))),
% 14.69/9.96 inference(unit_resolution,[status(thm)],[12074, 12073])).
% 14.69/9.96 tff(12076,plain,
% 14.69/9.96 (~((~v113(constB83)) | (~v126(constB83)))),
% 14.69/9.96 inference(unit_resolution,[status(thm)],[12075, 12061])).
% 14.69/9.96 tff(12077,plain,
% 14.69/9.96 ((~(v112(constB83) <=> (~((~v113(constB83)) | (~v126(constB83)))))) | v112(constB83) | ((~v113(constB83)) | (~v126(constB83)))),
% 14.69/9.96 inference(tautology,[status(thm)],[])).
% 14.69/9.96 tff(12078,plain,
% 14.69/9.96 (v112(constB83)),
% 14.69/9.96 inference(unit_resolution,[status(thm)],[12077, 12076, 1151])).
% 14.69/9.96 tff(12079,plain,
% 14.69/9.96 ((v111(constB83) | v112(constB83)) | (~v112(constB83))),
% 14.69/9.96 inference(tautology,[status(thm)],[])).
% 14.69/9.96 tff(12080,plain,
% 14.69/9.96 (v111(constB83) | v112(constB83)),
% 14.69/9.96 inference(unit_resolution,[status(thm)],[12079, 12078])).
% 14.69/9.96 tff(12081,plain,
% 14.69/9.96 ((~(v108(constB83) <=> (v111(constB83) | v112(constB83)))) | v108(constB83) | (~(v111(constB83) | v112(constB83)))),
% 14.69/9.96 inference(tautology,[status(thm)],[])).
% 14.69/9.96 tff(12082,plain,
% 14.69/9.96 (v108(constB83)),
% 14.69/9.96 inference(unit_resolution,[status(thm)],[12081, 12080, 1149])).
% 14.69/9.96 tff(12083,plain,
% 14.69/9.96 ((~(v110(constB84) <=> v108(constB83))) | v110(constB84) | (~v108(constB83))),
% 14.69/9.96 inference(tautology,[status(thm)],[])).
% 14.69/9.96 tff(12084,plain,
% 14.69/9.96 (v110(constB84)),
% 14.69/9.96 inference(unit_resolution,[status(thm)],[12083, 12082, 1147])).
% 14.69/9.96 tff(12085,plain,
% 14.69/9.96 ((~((~v101(constB84)) | (~v110(constB84)))) | (~v101(constB84)) | (~v110(constB84))),
% 14.69/9.96 inference(tautology,[status(thm)],[])).
% 14.69/9.96 tff(12086,plain,
% 14.69/9.96 (~((~v101(constB84)) | (~v110(constB84)))),
% 14.69/9.96 inference(unit_resolution,[status(thm)],[12085, 12084, 1143])).
% 14.69/9.96 tff(12087,plain,
% 14.69/9.96 ((~(v100(constB84) <=> (~((~v101(constB84)) | (~v110(constB84)))))) | v100(constB84) | ((~v101(constB84)) | (~v110(constB84)))),
% 14.69/9.96 inference(tautology,[status(thm)],[])).
% 14.69/9.96 tff(12088,plain,
% 14.69/9.96 (v100(constB84)),
% 14.69/9.96 inference(unit_resolution,[status(thm)],[12087, 12086, 1112])).
% 14.69/9.96 tff(12089,plain,
% 14.69/9.96 (((~![VarNext: $i] : ((~v100(VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v129(VarNext, B))))) | ((~v100(constB84)) | ![B: $i] : ((~less_3(B)) | (v90(constB84, B) <=> v129(constB84, B))))) <=> ((~![VarNext: $i] : ((~v100(VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v129(VarNext, B))))) | (~v100(constB84)) | ![B: $i] : ((~less_3(B)) | (v90(constB84, B) <=> v129(constB84, B))))),
% 14.69/9.96 inference(rewrite,[status(thm)],[])).
% 14.69/9.96 tff(12090,plain,
% 14.69/9.96 ((~![VarNext: $i] : ((~v100(VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v129(VarNext, B))))) | ((~v100(constB84)) | ![B: $i] : ((~less_3(B)) | (v90(constB84, B) <=> v129(constB84, B))))),
% 14.69/9.96 inference(quant_inst,[status(thm)],[])).
% 14.69/9.96 tff(12091,plain,
% 14.69/9.96 ((~![VarNext: $i] : ((~v100(VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v129(VarNext, B))))) | (~v100(constB84)) | ![B: $i] : ((~less_3(B)) | (v90(constB84, B) <=> v129(constB84, B)))),
% 14.69/9.96 inference(modus_ponens,[status(thm)],[12090, 12089])).
% 14.69/9.96 tff(12092,plain,
% 14.69/9.96 ((~v100(constB84)) | ![B: $i] : ((~less_3(B)) | (v90(constB84, B) <=> v129(constB84, B)))),
% 14.69/9.96 inference(unit_resolution,[status(thm)],[12091, 5134])).
% 14.69/9.96 tff(12093,plain,
% 14.69/9.96 (![B: $i] : ((~less_3(B)) | (v90(constB84, B) <=> v129(constB84, B)))),
% 14.69/9.96 inference(unit_resolution,[status(thm)],[12092, 12088])).
% 14.69/9.96 tff(12094,plain,
% 14.69/9.96 (((~![B: $i] : ((~less_3(B)) | (v90(constB84, B) <=> v129(constB84, B)))) | ((~less_3(bitIndex2)) | (v90(constB84, bitIndex2) <=> v129(constB84, bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v90(constB84, B) <=> v129(constB84, B)))) | (~less_3(bitIndex2)) | (v90(constB84, bitIndex2) <=> v129(constB84, bitIndex2)))),
% 14.69/9.96 inference(rewrite,[status(thm)],[])).
% 14.69/9.96 tff(12095,plain,
% 14.69/9.96 ((~![B: $i] : ((~less_3(B)) | (v90(constB84, B) <=> v129(constB84, B)))) | ((~less_3(bitIndex2)) | (v90(constB84, bitIndex2) <=> v129(constB84, bitIndex2)))),
% 14.69/9.96 inference(quant_inst,[status(thm)],[])).
% 14.69/9.96 tff(12096,plain,
% 14.69/9.96 ((~![B: $i] : ((~less_3(B)) | (v90(constB84, B) <=> v129(constB84, B)))) | (~less_3(bitIndex2)) | (v90(constB84, bitIndex2) <=> v129(constB84, bitIndex2))),
% 14.69/9.96 inference(modus_ponens,[status(thm)],[12095, 12094])).
% 14.69/9.96 tff(12097,plain,
% 14.69/9.96 (v90(constB84, bitIndex2) <=> v129(constB84, bitIndex2)),
% 14.69/9.96 inference(unit_resolution,[status(thm)],[12096, 413, 12093])).
% 14.69/9.96 tff(12098,plain,
% 14.69/9.96 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v129(VarNext, B) <=> v127(VarCurr, B))))) | ((~nextState(constB83, constB84)) | ![B: $i] : ((~less_3(B)) | (v129(constB84, B) <=> v127(constB83, B))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v129(VarNext, B) <=> v127(VarCurr, B))))) | (~nextState(constB83, constB84)) | ![B: $i] : ((~less_3(B)) | (v129(constB84, B) <=> v127(constB83, B))))),
% 14.69/9.96 inference(rewrite,[status(thm)],[])).
% 14.69/9.96 tff(12099,plain,
% 14.69/9.96 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v129(VarNext, B) <=> v127(VarCurr, B))))) | ((~nextState(constB83, constB84)) | ![B: $i] : ((~less_3(B)) | (v129(constB84, B) <=> v127(constB83, B))))),
% 14.69/9.96 inference(quant_inst,[status(thm)],[])).
% 14.69/9.96 tff(12100,plain,
% 14.69/9.96 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v129(VarNext, B) <=> v127(VarCurr, B))))) | (~nextState(constB83, constB84)) | ![B: $i] : ((~less_3(B)) | (v129(constB84, B) <=> v127(constB83, B)))),
% 14.69/9.96 inference(modus_ponens,[status(thm)],[12099, 12098])).
% 14.69/9.96 tff(12101,plain,
% 14.69/9.96 (![B: $i] : ((~less_3(B)) | (v129(constB84, B) <=> v127(constB83, B)))),
% 14.69/9.96 inference(unit_resolution,[status(thm)],[12100, 1108, 5156])).
% 14.69/9.96 tff(12102,plain,
% 14.69/9.96 (((~![B: $i] : ((~less_3(B)) | (v129(constB84, B) <=> v127(constB83, B)))) | ((~less_3(bitIndex2)) | (v129(constB84, bitIndex2) <=> v127(constB83, bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v129(constB84, B) <=> v127(constB83, B)))) | (~less_3(bitIndex2)) | (v129(constB84, bitIndex2) <=> v127(constB83, bitIndex2)))),
% 14.69/9.96 inference(rewrite,[status(thm)],[])).
% 14.69/9.96 tff(12103,plain,
% 14.69/9.96 ((~![B: $i] : ((~less_3(B)) | (v129(constB84, B) <=> v127(constB83, B)))) | ((~less_3(bitIndex2)) | (v129(constB84, bitIndex2) <=> v127(constB83, bitIndex2)))),
% 14.69/9.96 inference(quant_inst,[status(thm)],[])).
% 14.69/9.96 tff(12104,plain,
% 14.69/9.96 ((~![B: $i] : ((~less_3(B)) | (v129(constB84, B) <=> v127(constB83, B)))) | (~less_3(bitIndex2)) | (v129(constB84, bitIndex2) <=> v127(constB83, bitIndex2))),
% 14.69/9.96 inference(modus_ponens,[status(thm)],[12103, 12102])).
% 14.69/9.96 tff(12105,plain,
% 14.69/9.96 (v129(constB84, bitIndex2) <=> v127(constB83, bitIndex2)),
% 14.69/9.96 inference(unit_resolution,[status(thm)],[12104, 413, 12101])).
% 14.69/9.96 tff(12106,plain,
% 14.69/9.96 (((~![VarCurr: $i] : (v111(VarCurr) | ![B: $i] : ((~less_3(B)) | (v127(VarCurr, B) <=> v130(VarCurr, B))))) | (v111(constB83) | ![B: $i] : ((~less_3(B)) | (v127(constB83, B) <=> v130(constB83, B))))) <=> ((~![VarCurr: $i] : (v111(VarCurr) | ![B: $i] : ((~less_3(B)) | (v127(VarCurr, B) <=> v130(VarCurr, B))))) | v111(constB83) | ![B: $i] : ((~less_3(B)) | (v127(constB83, B) <=> v130(constB83, B))))),
% 14.69/9.96 inference(rewrite,[status(thm)],[])).
% 14.69/9.96 tff(12107,plain,
% 14.69/9.96 ((~![VarCurr: $i] : (v111(VarCurr) | ![B: $i] : ((~less_3(B)) | (v127(VarCurr, B) <=> v130(VarCurr, B))))) | (v111(constB83) | ![B: $i] : ((~less_3(B)) | (v127(constB83, B) <=> v130(constB83, B))))),
% 14.69/9.97 inference(quant_inst,[status(thm)],[])).
% 14.69/9.97 tff(12108,plain,
% 14.69/9.97 ((~![VarCurr: $i] : (v111(VarCurr) | ![B: $i] : ((~less_3(B)) | (v127(VarCurr, B) <=> v130(VarCurr, B))))) | v111(constB83) | ![B: $i] : ((~less_3(B)) | (v127(constB83, B) <=> v130(constB83, B)))),
% 14.69/9.97 inference(modus_ponens,[status(thm)],[12107, 12106])).
% 14.69/9.97 tff(12109,plain,
% 14.69/9.97 (![B: $i] : ((~less_3(B)) | (v127(constB83, B) <=> v130(constB83, B)))),
% 14.69/9.97 inference(unit_resolution,[status(thm)],[12108, 5177, 12070])).
% 14.69/9.97 tff(12110,plain,
% 14.69/9.97 (((~![B: $i] : ((~less_3(B)) | (v127(constB83, B) <=> v130(constB83, B)))) | ((~less_3(bitIndex2)) | (v127(constB83, bitIndex2) <=> v130(constB83, bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v127(constB83, B) <=> v130(constB83, B)))) | (~less_3(bitIndex2)) | (v127(constB83, bitIndex2) <=> v130(constB83, bitIndex2)))),
% 14.69/9.97 inference(rewrite,[status(thm)],[])).
% 14.69/9.97 tff(12111,plain,
% 14.69/9.97 ((~![B: $i] : ((~less_3(B)) | (v127(constB83, B) <=> v130(constB83, B)))) | ((~less_3(bitIndex2)) | (v127(constB83, bitIndex2) <=> v130(constB83, bitIndex2)))),
% 14.69/9.97 inference(quant_inst,[status(thm)],[])).
% 14.69/9.97 tff(12112,plain,
% 14.69/9.97 ((~![B: $i] : ((~less_3(B)) | (v127(constB83, B) <=> v130(constB83, B)))) | (~less_3(bitIndex2)) | (v127(constB83, bitIndex2) <=> v130(constB83, bitIndex2))),
% 14.69/9.97 inference(modus_ponens,[status(thm)],[12111, 12110])).
% 14.69/9.97 tff(12113,plain,
% 14.69/9.97 (v127(constB83, bitIndex2) <=> v130(constB83, bitIndex2)),
% 14.69/9.97 inference(unit_resolution,[status(thm)],[12112, 413, 12109])).
% 14.69/9.97 tff(12114,plain,
% 14.69/9.97 (((~![VarCurr: $i] : ((~v123(VarCurr)) | ![B: $i] : ((~less_3(B)) | (v130(VarCurr, B) <=> b110(B))))) | ((~v123(constB83)) | ![B: $i] : ((~less_3(B)) | (v130(constB83, B) <=> b110(B))))) <=> ((~![VarCurr: $i] : ((~v123(VarCurr)) | ![B: $i] : ((~less_3(B)) | (v130(VarCurr, B) <=> b110(B))))) | (~v123(constB83)) | ![B: $i] : ((~less_3(B)) | (v130(constB83, B) <=> b110(B))))),
% 14.69/9.97 inference(rewrite,[status(thm)],[])).
% 14.69/9.97 tff(12115,plain,
% 14.69/9.97 ((~![VarCurr: $i] : ((~v123(VarCurr)) | ![B: $i] : ((~less_3(B)) | (v130(VarCurr, B) <=> b110(B))))) | ((~v123(constB83)) | ![B: $i] : ((~less_3(B)) | (v130(constB83, B) <=> b110(B))))),
% 14.69/9.97 inference(quant_inst,[status(thm)],[])).
% 14.69/9.97 tff(12116,plain,
% 14.69/9.97 ((~![VarCurr: $i] : ((~v123(VarCurr)) | ![B: $i] : ((~less_3(B)) | (v130(VarCurr, B) <=> b110(B))))) | (~v123(constB83)) | ![B: $i] : ((~less_3(B)) | (v130(constB83, B) <=> b110(B)))),
% 14.69/9.97 inference(modus_ponens,[status(thm)],[12115, 12114])).
% 14.69/9.97 tff(12117,plain,
% 14.69/9.97 ((~v123(constB83)) | ![B: $i] : ((~less_3(B)) | (v130(constB83, B) <=> b110(B)))),
% 14.69/9.97 inference(unit_resolution,[status(thm)],[12116, 5369])).
% 14.69/9.97 tff(12118,plain,
% 14.69/9.97 (![B: $i] : ((~less_3(B)) | (v130(constB83, B) <=> b110(B)))),
% 14.69/9.97 inference(unit_resolution,[status(thm)],[12117, 12049])).
% 14.69/9.97 tff(12119,plain,
% 14.69/9.97 (((~![B: $i] : ((~less_3(B)) | (v130(constB83, B) <=> b110(B)))) | ((~less_3(bitIndex2)) | (v130(constB83, bitIndex2) <=> b110(bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v130(constB83, B) <=> b110(B)))) | (~less_3(bitIndex2)) | (v130(constB83, bitIndex2) <=> b110(bitIndex2)))),
% 14.69/9.97 inference(rewrite,[status(thm)],[])).
% 14.69/9.97 tff(12120,plain,
% 14.69/9.97 ((~![B: $i] : ((~less_3(B)) | (v130(constB83, B) <=> b110(B)))) | ((~less_3(bitIndex2)) | (v130(constB83, bitIndex2) <=> b110(bitIndex2)))),
% 14.69/9.97 inference(quant_inst,[status(thm)],[])).
% 14.69/9.97 tff(12121,plain,
% 14.69/9.97 ((~![B: $i] : ((~less_3(B)) | (v130(constB83, B) <=> b110(B)))) | (~less_3(bitIndex2)) | (v130(constB83, bitIndex2) <=> b110(bitIndex2))),
% 14.69/9.97 inference(modus_ponens,[status(thm)],[12120, 12119])).
% 14.69/9.97 tff(12122,plain,
% 14.69/9.97 (v130(constB83, bitIndex2) <=> b110(bitIndex2)),
% 14.69/9.97 inference(unit_resolution,[status(thm)],[12121, 413, 12118])).
% 14.69/9.97 tff(12123,plain,
% 14.69/9.97 ((~(v130(constB83, bitIndex2) <=> b110(bitIndex2))) | v130(constB83, bitIndex2) | (~b110(bitIndex2))),
% 14.69/9.97 inference(tautology,[status(thm)],[])).
% 14.69/9.97 tff(12124,plain,
% 14.69/9.97 ((~(v130(constB83, bitIndex2) <=> b110(bitIndex2))) | v130(constB83, bitIndex2)),
% 14.69/9.97 inference(unit_resolution,[status(thm)],[12123, 5381])).
% 14.69/9.97 tff(12125,plain,
% 14.69/9.97 (v130(constB83, bitIndex2)),
% 14.69/9.97 inference(unit_resolution,[status(thm)],[12124, 12122])).
% 14.69/9.97 tff(12126,plain,
% 14.69/9.97 ((~(v127(constB83, bitIndex2) <=> v130(constB83, bitIndex2))) | v127(constB83, bitIndex2) | (~v130(constB83, bitIndex2))),
% 14.69/9.97 inference(tautology,[status(thm)],[])).
% 14.69/9.97 tff(12127,plain,
% 14.69/9.97 (v127(constB83, bitIndex2)),
% 14.69/9.97 inference(unit_resolution,[status(thm)],[12126, 12125, 12113])).
% 14.69/9.97 tff(12128,plain,
% 14.69/9.97 ((~(v129(constB84, bitIndex2) <=> v127(constB83, bitIndex2))) | v129(constB84, bitIndex2) | (~v127(constB83, bitIndex2))),
% 14.69/9.97 inference(tautology,[status(thm)],[])).
% 14.69/9.97 tff(12129,plain,
% 14.69/9.97 (v129(constB84, bitIndex2)),
% 14.69/9.97 inference(unit_resolution,[status(thm)],[12128, 12127, 12105])).
% 14.69/9.97 tff(12130,plain,
% 14.69/9.97 ((~(v90(constB84, bitIndex2) <=> v129(constB84, bitIndex2))) | v90(constB84, bitIndex2) | (~v129(constB84, bitIndex2))),
% 14.69/9.97 inference(tautology,[status(thm)],[])).
% 14.69/9.97 tff(12131,plain,
% 14.69/9.97 (v90(constB84, bitIndex2)),
% 14.69/9.97 inference(unit_resolution,[status(thm)],[12130, 12129, 12097])).
% 14.69/9.97 tff(12132,plain,
% 14.69/9.97 ((~(v90(constB85, bitIndex2) <=> v90(constB84, bitIndex2))) | v90(constB85, bitIndex2) | (~v90(constB84, bitIndex2))),
% 14.69/9.97 inference(tautology,[status(thm)],[])).
% 14.69/9.97 tff(12133,plain,
% 14.69/9.97 (v90(constB85, bitIndex2)),
% 14.69/9.97 inference(unit_resolution,[status(thm)],[12132, 12131, 1105])).
% 14.69/9.97 tff(12134,plain,
% 14.69/9.97 (((~![B: $i] : ((~less_3(B)) | (v90(constB85, B) <=> v90(constB84, B)))) | ((~less_3(bitIndex0)) | (v90(constB85, bitIndex0) <=> v90(constB84, bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v90(constB85, B) <=> v90(constB84, B)))) | (~less_3(bitIndex0)) | (v90(constB85, bitIndex0) <=> v90(constB84, bitIndex0)))),
% 14.69/9.97 inference(rewrite,[status(thm)],[])).
% 14.69/9.97 tff(12135,plain,
% 14.69/9.97 ((~![B: $i] : ((~less_3(B)) | (v90(constB85, B) <=> v90(constB84, B)))) | ((~less_3(bitIndex0)) | (v90(constB85, bitIndex0) <=> v90(constB84, bitIndex0)))),
% 14.69/9.97 inference(quant_inst,[status(thm)],[])).
% 14.69/9.97 tff(12136,plain,
% 14.69/9.97 ((~![B: $i] : ((~less_3(B)) | (v90(constB85, B) <=> v90(constB84, B)))) | (~less_3(bitIndex0)) | (v90(constB85, bitIndex0) <=> v90(constB84, bitIndex0))),
% 14.69/9.97 inference(modus_ponens,[status(thm)],[12135, 12134])).
% 14.69/9.97 tff(12137,plain,
% 14.69/9.97 (v90(constB85, bitIndex0) <=> v90(constB84, bitIndex0)),
% 14.69/9.97 inference(unit_resolution,[status(thm)],[12136, 5004, 1101])).
% 14.69/9.97 tff(12138,plain,
% 14.69/9.97 (((~![B: $i] : ((~less_3(B)) | (v90(constB84, B) <=> v129(constB84, B)))) | ((~less_3(bitIndex0)) | (v90(constB84, bitIndex0) <=> v129(constB84, bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v90(constB84, B) <=> v129(constB84, B)))) | (~less_3(bitIndex0)) | (v90(constB84, bitIndex0) <=> v129(constB84, bitIndex0)))),
% 14.69/9.97 inference(rewrite,[status(thm)],[])).
% 14.69/9.97 tff(12139,plain,
% 14.69/9.97 ((~![B: $i] : ((~less_3(B)) | (v90(constB84, B) <=> v129(constB84, B)))) | ((~less_3(bitIndex0)) | (v90(constB84, bitIndex0) <=> v129(constB84, bitIndex0)))),
% 14.69/9.97 inference(quant_inst,[status(thm)],[])).
% 14.69/9.97 tff(12140,plain,
% 14.69/9.97 ((~![B: $i] : ((~less_3(B)) | (v90(constB84, B) <=> v129(constB84, B)))) | (~less_3(bitIndex0)) | (v90(constB84, bitIndex0) <=> v129(constB84, bitIndex0))),
% 14.69/9.97 inference(modus_ponens,[status(thm)],[12139, 12138])).
% 14.69/9.97 tff(12141,plain,
% 14.69/9.97 (v90(constB84, bitIndex0) <=> v129(constB84, bitIndex0)),
% 14.69/9.97 inference(unit_resolution,[status(thm)],[12140, 5004, 12093])).
% 14.69/9.97 tff(12142,plain,
% 14.69/9.97 (((~![B: $i] : ((~less_3(B)) | (v129(constB84, B) <=> v127(constB83, B)))) | ((~less_3(bitIndex0)) | (v129(constB84, bitIndex0) <=> v127(constB83, bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v129(constB84, B) <=> v127(constB83, B)))) | (~less_3(bitIndex0)) | (v129(constB84, bitIndex0) <=> v127(constB83, bitIndex0)))),
% 14.69/9.97 inference(rewrite,[status(thm)],[])).
% 14.69/9.97 tff(12143,plain,
% 14.69/9.97 ((~![B: $i] : ((~less_3(B)) | (v129(constB84, B) <=> v127(constB83, B)))) | ((~less_3(bitIndex0)) | (v129(constB84, bitIndex0) <=> v127(constB83, bitIndex0)))),
% 14.69/9.97 inference(quant_inst,[status(thm)],[])).
% 14.69/9.97 tff(12144,plain,
% 14.69/9.97 ((~![B: $i] : ((~less_3(B)) | (v129(constB84, B) <=> v127(constB83, B)))) | (~less_3(bitIndex0)) | (v129(constB84, bitIndex0) <=> v127(constB83, bitIndex0))),
% 14.69/9.97 inference(modus_ponens,[status(thm)],[12143, 12142])).
% 14.69/9.97 tff(12145,plain,
% 14.69/9.97 (v129(constB84, bitIndex0) <=> v127(constB83, bitIndex0)),
% 14.69/9.97 inference(unit_resolution,[status(thm)],[12144, 5004, 12101])).
% 14.69/9.97 tff(12146,plain,
% 14.69/9.97 (((~![B: $i] : ((~less_3(B)) | (v127(constB83, B) <=> v130(constB83, B)))) | ((~less_3(bitIndex0)) | (v127(constB83, bitIndex0) <=> v130(constB83, bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v127(constB83, B) <=> v130(constB83, B)))) | (~less_3(bitIndex0)) | (v127(constB83, bitIndex0) <=> v130(constB83, bitIndex0)))),
% 14.69/9.97 inference(rewrite,[status(thm)],[])).
% 14.69/9.97 tff(12147,plain,
% 14.69/9.97 ((~![B: $i] : ((~less_3(B)) | (v127(constB83, B) <=> v130(constB83, B)))) | ((~less_3(bitIndex0)) | (v127(constB83, bitIndex0) <=> v130(constB83, bitIndex0)))),
% 14.69/9.97 inference(quant_inst,[status(thm)],[])).
% 14.69/9.97 tff(12148,plain,
% 14.69/9.97 ((~![B: $i] : ((~less_3(B)) | (v127(constB83, B) <=> v130(constB83, B)))) | (~less_3(bitIndex0)) | (v127(constB83, bitIndex0) <=> v130(constB83, bitIndex0))),
% 14.69/9.97 inference(modus_ponens,[status(thm)],[12147, 12146])).
% 14.69/9.97 tff(12149,plain,
% 14.69/9.97 (v127(constB83, bitIndex0) <=> v130(constB83, bitIndex0)),
% 14.69/9.97 inference(unit_resolution,[status(thm)],[12148, 5004, 12109])).
% 14.69/9.97 tff(12150,plain,
% 14.69/9.97 (((~![B: $i] : ((~less_3(B)) | (v130(constB83, B) <=> b110(B)))) | ((~less_3(bitIndex0)) | (v130(constB83, bitIndex0) <=> b110(bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v130(constB83, B) <=> b110(B)))) | (~less_3(bitIndex0)) | (v130(constB83, bitIndex0) <=> b110(bitIndex0)))),
% 14.69/9.97 inference(rewrite,[status(thm)],[])).
% 14.69/9.97 tff(12151,plain,
% 14.69/9.97 ((~![B: $i] : ((~less_3(B)) | (v130(constB83, B) <=> b110(B)))) | ((~less_3(bitIndex0)) | (v130(constB83, bitIndex0) <=> b110(bitIndex0)))),
% 14.69/9.97 inference(quant_inst,[status(thm)],[])).
% 14.69/9.97 tff(12152,plain,
% 14.69/9.97 ((~![B: $i] : ((~less_3(B)) | (v130(constB83, B) <=> b110(B)))) | (~less_3(bitIndex0)) | (v130(constB83, bitIndex0) <=> b110(bitIndex0))),
% 14.69/9.97 inference(modus_ponens,[status(thm)],[12151, 12150])).
% 14.69/9.97 tff(12153,plain,
% 14.69/9.97 (v130(constB83, bitIndex0) <=> b110(bitIndex0)),
% 14.69/9.97 inference(unit_resolution,[status(thm)],[12152, 5004, 12118])).
% 14.69/9.97 tff(12154,plain,
% 14.69/9.97 ((~(v130(constB83, bitIndex0) <=> b110(bitIndex0))) | (~v130(constB83, bitIndex0)) | b110(bitIndex0)),
% 14.69/9.97 inference(tautology,[status(thm)],[])).
% 14.69/9.97 tff(12155,plain,
% 14.69/9.97 ((~(v130(constB83, bitIndex0) <=> b110(bitIndex0))) | (~v130(constB83, bitIndex0))),
% 14.69/9.97 inference(unit_resolution,[status(thm)],[12154, 5415])).
% 14.69/9.97 tff(12156,plain,
% 14.69/9.97 (~v130(constB83, bitIndex0)),
% 14.69/9.97 inference(unit_resolution,[status(thm)],[12155, 12153])).
% 14.69/9.97 tff(12157,plain,
% 14.69/9.97 ((~(v127(constB83, bitIndex0) <=> v130(constB83, bitIndex0))) | (~v127(constB83, bitIndex0)) | v130(constB83, bitIndex0)),
% 14.69/9.97 inference(tautology,[status(thm)],[])).
% 14.69/9.97 tff(12158,plain,
% 14.69/9.97 (~v127(constB83, bitIndex0)),
% 14.69/9.97 inference(unit_resolution,[status(thm)],[12157, 12156, 12149])).
% 14.69/9.97 tff(12159,plain,
% 14.69/9.97 ((~(v129(constB84, bitIndex0) <=> v127(constB83, bitIndex0))) | (~v129(constB84, bitIndex0)) | v127(constB83, bitIndex0)),
% 14.69/9.97 inference(tautology,[status(thm)],[])).
% 14.69/9.97 tff(12160,plain,
% 14.69/9.97 (~v129(constB84, bitIndex0)),
% 14.69/9.97 inference(unit_resolution,[status(thm)],[12159, 12158, 12145])).
% 14.69/9.97 tff(12161,plain,
% 14.69/9.97 ((~(v90(constB84, bitIndex0) <=> v129(constB84, bitIndex0))) | (~v90(constB84, bitIndex0)) | v129(constB84, bitIndex0)),
% 14.69/9.97 inference(tautology,[status(thm)],[])).
% 14.69/9.97 tff(12162,plain,
% 14.69/9.97 (~v90(constB84, bitIndex0)),
% 14.69/9.97 inference(unit_resolution,[status(thm)],[12161, 12160, 12141])).
% 14.69/9.97 tff(12163,plain,
% 14.69/9.97 ((~(v90(constB85, bitIndex0) <=> v90(constB84, bitIndex0))) | (~v90(constB85, bitIndex0)) | v90(constB84, bitIndex0)),
% 14.69/9.97 inference(tautology,[status(thm)],[])).
% 14.69/9.97 tff(12164,plain,
% 14.69/9.97 (~v90(constB85, bitIndex0)),
% 14.69/9.97 inference(unit_resolution,[status(thm)],[12163, 12162, 12137])).
% 14.69/9.97 tff(12165,plain,
% 14.69/9.97 (((~![B: $i] : ((~less_3(B)) | (v90(constB85, B) <=> v90(constB84, B)))) | ((~less_3(bitIndex1)) | (v90(constB85, bitIndex1) <=> v90(constB84, bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v90(constB85, B) <=> v90(constB84, B)))) | (~less_3(bitIndex1)) | (v90(constB85, bitIndex1) <=> v90(constB84, bitIndex1)))),
% 14.69/9.97 inference(rewrite,[status(thm)],[])).
% 14.69/9.98 tff(12166,plain,
% 14.69/9.98 ((~![B: $i] : ((~less_3(B)) | (v90(constB85, B) <=> v90(constB84, B)))) | ((~less_3(bitIndex1)) | (v90(constB85, bitIndex1) <=> v90(constB84, bitIndex1)))),
% 14.69/9.98 inference(quant_inst,[status(thm)],[])).
% 14.69/9.98 tff(12167,plain,
% 14.69/9.98 ((~![B: $i] : ((~less_3(B)) | (v90(constB85, B) <=> v90(constB84, B)))) | (~less_3(bitIndex1)) | (v90(constB85, bitIndex1) <=> v90(constB84, bitIndex1))),
% 14.69/9.98 inference(modus_ponens,[status(thm)],[12166, 12165])).
% 14.69/9.98 tff(12168,plain,
% 14.69/9.98 (v90(constB85, bitIndex1) <=> v90(constB84, bitIndex1)),
% 14.69/9.98 inference(unit_resolution,[status(thm)],[12167, 5017, 1101])).
% 14.69/9.98 tff(12169,plain,
% 14.69/9.98 (((~![B: $i] : ((~less_3(B)) | (v90(constB84, B) <=> v129(constB84, B)))) | ((~less_3(bitIndex1)) | (v90(constB84, bitIndex1) <=> v129(constB84, bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v90(constB84, B) <=> v129(constB84, B)))) | (~less_3(bitIndex1)) | (v90(constB84, bitIndex1) <=> v129(constB84, bitIndex1)))),
% 14.69/9.98 inference(rewrite,[status(thm)],[])).
% 14.69/9.98 tff(12170,plain,
% 14.69/9.98 ((~![B: $i] : ((~less_3(B)) | (v90(constB84, B) <=> v129(constB84, B)))) | ((~less_3(bitIndex1)) | (v90(constB84, bitIndex1) <=> v129(constB84, bitIndex1)))),
% 14.69/9.98 inference(quant_inst,[status(thm)],[])).
% 14.69/9.98 tff(12171,plain,
% 14.69/9.98 ((~![B: $i] : ((~less_3(B)) | (v90(constB84, B) <=> v129(constB84, B)))) | (~less_3(bitIndex1)) | (v90(constB84, bitIndex1) <=> v129(constB84, bitIndex1))),
% 14.69/9.98 inference(modus_ponens,[status(thm)],[12170, 12169])).
% 14.69/9.98 tff(12172,plain,
% 14.69/9.98 (v90(constB84, bitIndex1) <=> v129(constB84, bitIndex1)),
% 14.69/9.98 inference(unit_resolution,[status(thm)],[12171, 5017, 12093])).
% 14.69/9.98 tff(12173,plain,
% 14.69/9.98 (((~![B: $i] : ((~less_3(B)) | (v129(constB84, B) <=> v127(constB83, B)))) | ((~less_3(bitIndex1)) | (v129(constB84, bitIndex1) <=> v127(constB83, bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v129(constB84, B) <=> v127(constB83, B)))) | (~less_3(bitIndex1)) | (v129(constB84, bitIndex1) <=> v127(constB83, bitIndex1)))),
% 14.69/9.98 inference(rewrite,[status(thm)],[])).
% 14.69/9.98 tff(12174,plain,
% 14.69/9.98 ((~![B: $i] : ((~less_3(B)) | (v129(constB84, B) <=> v127(constB83, B)))) | ((~less_3(bitIndex1)) | (v129(constB84, bitIndex1) <=> v127(constB83, bitIndex1)))),
% 14.69/9.98 inference(quant_inst,[status(thm)],[])).
% 14.69/9.98 tff(12175,plain,
% 14.69/9.98 ((~![B: $i] : ((~less_3(B)) | (v129(constB84, B) <=> v127(constB83, B)))) | (~less_3(bitIndex1)) | (v129(constB84, bitIndex1) <=> v127(constB83, bitIndex1))),
% 14.69/9.98 inference(modus_ponens,[status(thm)],[12174, 12173])).
% 14.69/9.98 tff(12176,plain,
% 14.69/9.98 (v129(constB84, bitIndex1) <=> v127(constB83, bitIndex1)),
% 14.69/9.98 inference(unit_resolution,[status(thm)],[12175, 5017, 12101])).
% 14.69/9.98 tff(12177,plain,
% 14.69/9.98 (((~![B: $i] : ((~less_3(B)) | (v127(constB83, B) <=> v130(constB83, B)))) | ((~less_3(bitIndex1)) | (v127(constB83, bitIndex1) <=> v130(constB83, bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v127(constB83, B) <=> v130(constB83, B)))) | (~less_3(bitIndex1)) | (v127(constB83, bitIndex1) <=> v130(constB83, bitIndex1)))),
% 14.69/9.98 inference(rewrite,[status(thm)],[])).
% 14.69/9.98 tff(12178,plain,
% 14.69/9.98 ((~![B: $i] : ((~less_3(B)) | (v127(constB83, B) <=> v130(constB83, B)))) | ((~less_3(bitIndex1)) | (v127(constB83, bitIndex1) <=> v130(constB83, bitIndex1)))),
% 14.69/9.98 inference(quant_inst,[status(thm)],[])).
% 14.69/9.98 tff(12179,plain,
% 14.69/9.98 ((~![B: $i] : ((~less_3(B)) | (v127(constB83, B) <=> v130(constB83, B)))) | (~less_3(bitIndex1)) | (v127(constB83, bitIndex1) <=> v130(constB83, bitIndex1))),
% 14.69/9.98 inference(modus_ponens,[status(thm)],[12178, 12177])).
% 14.69/9.98 tff(12180,plain,
% 14.69/9.98 (v127(constB83, bitIndex1) <=> v130(constB83, bitIndex1)),
% 14.69/9.98 inference(unit_resolution,[status(thm)],[12179, 5017, 12109])).
% 14.69/9.98 tff(12181,plain,
% 14.69/9.98 (((~![B: $i] : ((~less_3(B)) | (v130(constB83, B) <=> b110(B)))) | ((~less_3(bitIndex1)) | (v130(constB83, bitIndex1) <=> b110(bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v130(constB83, B) <=> b110(B)))) | (~less_3(bitIndex1)) | (v130(constB83, bitIndex1) <=> b110(bitIndex1)))),
% 14.69/9.98 inference(rewrite,[status(thm)],[])).
% 14.69/9.98 tff(12182,plain,
% 14.69/9.98 ((~![B: $i] : ((~less_3(B)) | (v130(constB83, B) <=> b110(B)))) | ((~less_3(bitIndex1)) | (v130(constB83, bitIndex1) <=> b110(bitIndex1)))),
% 14.78/9.98 inference(quant_inst,[status(thm)],[])).
% 14.78/9.98 tff(12183,plain,
% 14.78/9.98 ((~![B: $i] : ((~less_3(B)) | (v130(constB83, B) <=> b110(B)))) | (~less_3(bitIndex1)) | (v130(constB83, bitIndex1) <=> b110(bitIndex1))),
% 14.78/9.98 inference(modus_ponens,[status(thm)],[12182, 12181])).
% 14.78/9.98 tff(12184,plain,
% 14.78/9.98 (v130(constB83, bitIndex1) <=> b110(bitIndex1)),
% 14.78/9.98 inference(unit_resolution,[status(thm)],[12183, 5017, 12118])).
% 14.78/9.98 tff(12185,plain,
% 14.78/9.98 ((~(v130(constB83, bitIndex1) <=> b110(bitIndex1))) | v130(constB83, bitIndex1) | (~b110(bitIndex1))),
% 14.78/9.98 inference(tautology,[status(thm)],[])).
% 14.78/9.98 tff(12186,plain,
% 14.78/9.98 ((~(v130(constB83, bitIndex1) <=> b110(bitIndex1))) | v130(constB83, bitIndex1)),
% 14.78/9.98 inference(unit_resolution,[status(thm)],[12185, 5449])).
% 14.78/9.98 tff(12187,plain,
% 14.78/9.98 (v130(constB83, bitIndex1)),
% 14.78/9.98 inference(unit_resolution,[status(thm)],[12186, 12184])).
% 14.78/9.98 tff(12188,plain,
% 14.78/9.98 ((~(v127(constB83, bitIndex1) <=> v130(constB83, bitIndex1))) | v127(constB83, bitIndex1) | (~v130(constB83, bitIndex1))),
% 14.78/9.98 inference(tautology,[status(thm)],[])).
% 14.78/9.98 tff(12189,plain,
% 14.78/9.98 (v127(constB83, bitIndex1)),
% 14.78/9.98 inference(unit_resolution,[status(thm)],[12188, 12187, 12180])).
% 14.78/9.98 tff(12190,plain,
% 14.78/9.98 ((~(v129(constB84, bitIndex1) <=> v127(constB83, bitIndex1))) | v129(constB84, bitIndex1) | (~v127(constB83, bitIndex1))),
% 14.78/9.98 inference(tautology,[status(thm)],[])).
% 14.78/9.98 tff(12191,plain,
% 14.78/9.98 (v129(constB84, bitIndex1)),
% 14.78/9.98 inference(unit_resolution,[status(thm)],[12190, 12189, 12176])).
% 14.78/9.98 tff(12192,plain,
% 14.78/9.98 ((~(v90(constB84, bitIndex1) <=> v129(constB84, bitIndex1))) | v90(constB84, bitIndex1) | (~v129(constB84, bitIndex1))),
% 14.78/9.98 inference(tautology,[status(thm)],[])).
% 14.78/9.98 tff(12193,plain,
% 14.78/9.98 (v90(constB84, bitIndex1)),
% 14.78/9.98 inference(unit_resolution,[status(thm)],[12192, 12191, 12172])).
% 14.78/9.98 tff(12194,plain,
% 14.78/9.98 ((~(v90(constB85, bitIndex1) <=> v90(constB84, bitIndex1))) | v90(constB85, bitIndex1) | (~v90(constB84, bitIndex1))),
% 14.78/9.98 inference(tautology,[status(thm)],[])).
% 14.78/9.98 tff(12195,plain,
% 14.78/9.98 (v90(constB85, bitIndex1)),
% 14.78/9.98 inference(unit_resolution,[status(thm)],[12194, 12193, 12168])).
% 14.78/9.98 tff(12196,plain,
% 14.78/9.98 ((~((~v90(constB85, bitIndex2)) | (~v90(constB85, bitIndex1)) | v90(constB85, bitIndex0))) | (~v90(constB85, bitIndex2)) | (~v90(constB85, bitIndex1)) | v90(constB85, bitIndex0)),
% 14.78/9.98 inference(tautology,[status(thm)],[])).
% 14.78/9.98 tff(12197,plain,
% 14.78/9.98 (~((~v90(constB85, bitIndex2)) | (~v90(constB85, bitIndex1)) | v90(constB85, bitIndex0))),
% 14.78/9.98 inference(unit_resolution,[status(thm)],[12196, 12195, 12164, 12133])).
% 14.78/9.98 tff(12198,plain,
% 14.78/9.98 ((~(v125(constB85) <=> (~((~v90(constB85, bitIndex2)) | (~v90(constB85, bitIndex1)) | v90(constB85, bitIndex0))))) | v125(constB85) | ((~v90(constB85, bitIndex2)) | (~v90(constB85, bitIndex1)) | v90(constB85, bitIndex0))),
% 14.78/9.98 inference(tautology,[status(thm)],[])).
% 14.78/9.98 tff(12199,plain,
% 14.78/9.98 (v125(constB85)),
% 14.78/9.98 inference(unit_resolution,[status(thm)],[12198, 12197, 1073])).
% 14.78/9.98 tff(12200,plain,
% 14.78/9.98 ((v114(constB85) | v125(constB85)) | (~v125(constB85))),
% 14.78/9.98 inference(tautology,[status(thm)],[])).
% 14.78/9.98 tff(12201,plain,
% 14.78/9.98 (v114(constB85) | v125(constB85)),
% 14.78/9.98 inference(unit_resolution,[status(thm)],[12200, 12199])).
% 14.78/9.98 tff(12202,plain,
% 14.78/9.98 ((~(v113(constB85) <=> (v114(constB85) | v125(constB85)))) | v113(constB85) | (~(v114(constB85) | v125(constB85)))),
% 14.78/9.98 inference(tautology,[status(thm)],[])).
% 14.78/9.98 tff(12203,plain,
% 14.78/9.98 (v113(constB85)),
% 14.78/9.98 inference(unit_resolution,[status(thm)],[12202, 12201, 1053])).
% 14.78/9.98 tff(12204,plain,
% 14.78/9.98 ((~![VarCurr: $i] : ((~v126(VarCurr)) <=> v111(VarCurr))) | ((~v126(constB85)) <=> v111(constB85))),
% 14.78/9.98 inference(quant_inst,[status(thm)],[])).
% 14.78/9.98 tff(12205,plain,
% 14.78/9.98 ((~v126(constB85)) <=> v111(constB85)),
% 14.78/9.98 inference(unit_resolution,[status(thm)],[12204, 5074])).
% 14.78/9.98 tff(12206,plain,
% 14.78/9.98 ((~![VarCurr: $i] : (v111(VarCurr) <=> v26(VarCurr))) | (v111(constB85) <=> v26(constB85))),
% 14.78/9.98 inference(quant_inst,[status(thm)],[])).
% 14.78/9.98 tff(12207,plain,
% 14.78/9.98 (v111(constB85) <=> v26(constB85)),
% 14.78/9.98 inference(unit_resolution,[status(thm)],[12206, 5086])).
% 14.78/9.98 tff(12208,plain,
% 14.78/9.98 ((~![VarCurr: $i] : (~v26(VarCurr))) | (~v26(constB85))),
% 14.78/9.98 inference(quant_inst,[status(thm)],[])).
% 14.78/9.98 tff(12209,plain,
% 14.78/9.98 (~v26(constB85)),
% 14.78/9.98 inference(unit_resolution,[status(thm)],[12208, 5098])).
% 14.78/9.98 tff(12210,plain,
% 14.78/9.98 ((~(v111(constB85) <=> v26(constB85))) | (~v111(constB85)) | v26(constB85)),
% 14.78/9.98 inference(tautology,[status(thm)],[])).
% 14.78/9.98 tff(12211,plain,
% 14.78/9.98 ((~(v111(constB85) <=> v26(constB85))) | (~v111(constB85))),
% 14.78/9.98 inference(unit_resolution,[status(thm)],[12210, 12209])).
% 14.78/9.98 tff(12212,plain,
% 14.78/9.98 (~v111(constB85)),
% 14.78/9.98 inference(unit_resolution,[status(thm)],[12211, 12207])).
% 14.78/9.98 tff(12213,plain,
% 14.78/9.98 ((~((~v126(constB85)) <=> v111(constB85))) | v126(constB85) | v111(constB85)),
% 14.78/9.98 inference(tautology,[status(thm)],[])).
% 14.78/9.98 tff(12214,plain,
% 14.78/9.98 ((~((~v126(constB85)) <=> v111(constB85))) | v126(constB85)),
% 14.78/9.98 inference(unit_resolution,[status(thm)],[12213, 12212])).
% 14.78/9.98 tff(12215,plain,
% 14.78/9.98 (v126(constB85)),
% 14.78/9.98 inference(unit_resolution,[status(thm)],[12214, 12205])).
% 14.78/9.98 tff(12216,plain,
% 14.78/9.98 ((~((~v113(constB85)) | (~v126(constB85)))) | (~v113(constB85)) | (~v126(constB85))),
% 14.78/9.98 inference(tautology,[status(thm)],[])).
% 14.78/9.98 tff(12217,plain,
% 14.78/9.98 ((~((~v113(constB85)) | (~v126(constB85)))) | (~v113(constB85))),
% 14.78/9.98 inference(unit_resolution,[status(thm)],[12216, 12215])).
% 14.78/9.98 tff(12218,plain,
% 14.78/9.98 (~((~v113(constB85)) | (~v126(constB85)))),
% 14.78/9.98 inference(unit_resolution,[status(thm)],[12217, 12203])).
% 14.78/9.98 tff(12219,plain,
% 14.78/9.98 ((~(v112(constB85) <=> (~((~v113(constB85)) | (~v126(constB85)))))) | v112(constB85) | ((~v113(constB85)) | (~v126(constB85)))),
% 14.78/9.98 inference(tautology,[status(thm)],[])).
% 14.78/9.98 tff(12220,plain,
% 14.78/9.98 (v112(constB85)),
% 14.78/9.98 inference(unit_resolution,[status(thm)],[12219, 12218, 1051])).
% 14.78/9.98 tff(12221,plain,
% 14.78/9.98 ((v111(constB85) | v112(constB85)) | (~v112(constB85))),
% 14.78/9.98 inference(tautology,[status(thm)],[])).
% 14.78/9.98 tff(12222,plain,
% 14.78/9.98 (v111(constB85) | v112(constB85)),
% 14.78/9.98 inference(unit_resolution,[status(thm)],[12221, 12220])).
% 14.78/9.98 tff(12223,plain,
% 14.78/9.98 ((~(v108(constB85) <=> (v111(constB85) | v112(constB85)))) | v108(constB85) | (~(v111(constB85) | v112(constB85)))),
% 14.78/9.98 inference(tautology,[status(thm)],[])).
% 14.78/9.98 tff(12224,plain,
% 14.78/9.98 (v108(constB85)),
% 14.78/9.98 inference(unit_resolution,[status(thm)],[12223, 12222, 1049])).
% 14.78/9.98 tff(12225,plain,
% 14.78/9.98 ((~(v110(constB86) <=> v108(constB85))) | v110(constB86) | (~v108(constB85))),
% 14.78/9.98 inference(tautology,[status(thm)],[])).
% 14.78/9.98 tff(12226,plain,
% 14.78/9.98 (v110(constB86)),
% 14.78/9.98 inference(unit_resolution,[status(thm)],[12225, 12224, 1047])).
% 14.78/9.98 tff(12227,plain,
% 14.78/9.98 ((~((~v101(constB86)) | (~v110(constB86)))) | (~v101(constB86)) | (~v110(constB86))),
% 14.78/9.98 inference(tautology,[status(thm)],[])).
% 14.78/9.98 tff(12228,plain,
% 14.78/9.98 (~((~v101(constB86)) | (~v110(constB86)))),
% 14.78/9.98 inference(unit_resolution,[status(thm)],[12227, 12226, 1043])).
% 14.78/9.98 tff(12229,plain,
% 14.78/9.98 ((~(v100(constB86) <=> (~((~v101(constB86)) | (~v110(constB86)))))) | v100(constB86) | ((~v101(constB86)) | (~v110(constB86)))),
% 14.78/9.98 inference(tautology,[status(thm)],[])).
% 14.78/9.98 tff(12230,plain,
% 14.78/9.98 (v100(constB86)),
% 14.78/9.98 inference(unit_resolution,[status(thm)],[12229, 12228, 1012])).
% 14.78/9.98 tff(12231,plain,
% 14.78/9.98 (((~![VarNext: $i] : ((~v100(VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v129(VarNext, B))))) | ((~v100(constB86)) | ![B: $i] : ((~less_3(B)) | (v90(constB86, B) <=> v129(constB86, B))))) <=> ((~![VarNext: $i] : ((~v100(VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v129(VarNext, B))))) | (~v100(constB86)) | ![B: $i] : ((~less_3(B)) | (v90(constB86, B) <=> v129(constB86, B))))),
% 14.78/9.98 inference(rewrite,[status(thm)],[])).
% 14.78/9.98 tff(12232,plain,
% 14.78/9.98 ((~![VarNext: $i] : ((~v100(VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v129(VarNext, B))))) | ((~v100(constB86)) | ![B: $i] : ((~less_3(B)) | (v90(constB86, B) <=> v129(constB86, B))))),
% 14.78/9.98 inference(quant_inst,[status(thm)],[])).
% 14.78/9.98 tff(12233,plain,
% 14.78/9.98 ((~![VarNext: $i] : ((~v100(VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v129(VarNext, B))))) | (~v100(constB86)) | ![B: $i] : ((~less_3(B)) | (v90(constB86, B) <=> v129(constB86, B)))),
% 14.78/9.98 inference(modus_ponens,[status(thm)],[12232, 12231])).
% 14.78/9.98 tff(12234,plain,
% 14.78/9.98 ((~v100(constB86)) | ![B: $i] : ((~less_3(B)) | (v90(constB86, B) <=> v129(constB86, B)))),
% 14.78/9.98 inference(unit_resolution,[status(thm)],[12233, 5134])).
% 14.78/9.98 tff(12235,plain,
% 14.78/9.98 (![B: $i] : ((~less_3(B)) | (v90(constB86, B) <=> v129(constB86, B)))),
% 14.78/9.98 inference(unit_resolution,[status(thm)],[12234, 12230])).
% 14.78/9.98 tff(12236,plain,
% 14.78/9.98 (((~![B: $i] : ((~less_3(B)) | (v90(constB86, B) <=> v129(constB86, B)))) | ((~less_3(bitIndex2)) | (v90(constB86, bitIndex2) <=> v129(constB86, bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v90(constB86, B) <=> v129(constB86, B)))) | (~less_3(bitIndex2)) | (v90(constB86, bitIndex2) <=> v129(constB86, bitIndex2)))),
% 14.78/9.98 inference(rewrite,[status(thm)],[])).
% 14.78/9.98 tff(12237,plain,
% 14.78/9.98 ((~![B: $i] : ((~less_3(B)) | (v90(constB86, B) <=> v129(constB86, B)))) | ((~less_3(bitIndex2)) | (v90(constB86, bitIndex2) <=> v129(constB86, bitIndex2)))),
% 14.78/9.98 inference(quant_inst,[status(thm)],[])).
% 14.78/9.98 tff(12238,plain,
% 14.78/9.98 ((~![B: $i] : ((~less_3(B)) | (v90(constB86, B) <=> v129(constB86, B)))) | (~less_3(bitIndex2)) | (v90(constB86, bitIndex2) <=> v129(constB86, bitIndex2))),
% 14.78/9.98 inference(modus_ponens,[status(thm)],[12237, 12236])).
% 14.78/9.98 tff(12239,plain,
% 14.78/9.98 (v90(constB86, bitIndex2) <=> v129(constB86, bitIndex2)),
% 14.78/9.98 inference(unit_resolution,[status(thm)],[12238, 413, 12235])).
% 14.78/9.98 tff(12240,plain,
% 14.78/9.98 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v129(VarNext, B) <=> v127(VarCurr, B))))) | ((~nextState(constB85, constB86)) | ![B: $i] : ((~less_3(B)) | (v129(constB86, B) <=> v127(constB85, B))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v129(VarNext, B) <=> v127(VarCurr, B))))) | (~nextState(constB85, constB86)) | ![B: $i] : ((~less_3(B)) | (v129(constB86, B) <=> v127(constB85, B))))),
% 14.78/9.98 inference(rewrite,[status(thm)],[])).
% 14.78/9.98 tff(12241,plain,
% 14.78/9.98 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v129(VarNext, B) <=> v127(VarCurr, B))))) | ((~nextState(constB85, constB86)) | ![B: $i] : ((~less_3(B)) | (v129(constB86, B) <=> v127(constB85, B))))),
% 14.78/9.98 inference(quant_inst,[status(thm)],[])).
% 14.78/9.98 tff(12242,plain,
% 14.78/9.98 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v129(VarNext, B) <=> v127(VarCurr, B))))) | (~nextState(constB85, constB86)) | ![B: $i] : ((~less_3(B)) | (v129(constB86, B) <=> v127(constB85, B)))),
% 14.78/9.98 inference(modus_ponens,[status(thm)],[12241, 12240])).
% 14.78/9.98 tff(12243,plain,
% 14.78/9.98 (![B: $i] : ((~less_3(B)) | (v129(constB86, B) <=> v127(constB85, B)))),
% 14.78/9.98 inference(unit_resolution,[status(thm)],[12242, 1008, 5156])).
% 14.78/9.98 tff(12244,plain,
% 14.78/9.98 (((~![B: $i] : ((~less_3(B)) | (v129(constB86, B) <=> v127(constB85, B)))) | ((~less_3(bitIndex2)) | (v129(constB86, bitIndex2) <=> v127(constB85, bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v129(constB86, B) <=> v127(constB85, B)))) | (~less_3(bitIndex2)) | (v129(constB86, bitIndex2) <=> v127(constB85, bitIndex2)))),
% 14.78/9.98 inference(rewrite,[status(thm)],[])).
% 14.78/9.98 tff(12245,plain,
% 14.78/9.98 ((~![B: $i] : ((~less_3(B)) | (v129(constB86, B) <=> v127(constB85, B)))) | ((~less_3(bitIndex2)) | (v129(constB86, bitIndex2) <=> v127(constB85, bitIndex2)))),
% 14.78/9.98 inference(quant_inst,[status(thm)],[])).
% 14.78/9.98 tff(12246,plain,
% 14.78/9.98 ((~![B: $i] : ((~less_3(B)) | (v129(constB86, B) <=> v127(constB85, B)))) | (~less_3(bitIndex2)) | (v129(constB86, bitIndex2) <=> v127(constB85, bitIndex2))),
% 14.78/9.98 inference(modus_ponens,[status(thm)],[12245, 12244])).
% 14.78/9.98 tff(12247,plain,
% 14.78/9.98 (v129(constB86, bitIndex2) <=> v127(constB85, bitIndex2)),
% 14.78/9.98 inference(unit_resolution,[status(thm)],[12246, 413, 12243])).
% 14.78/9.98 tff(12248,plain,
% 14.78/9.98 (((~![VarCurr: $i] : (v111(VarCurr) | ![B: $i] : ((~less_3(B)) | (v127(VarCurr, B) <=> v130(VarCurr, B))))) | (v111(constB85) | ![B: $i] : ((~less_3(B)) | (v127(constB85, B) <=> v130(constB85, B))))) <=> ((~![VarCurr: $i] : (v111(VarCurr) | ![B: $i] : ((~less_3(B)) | (v127(VarCurr, B) <=> v130(VarCurr, B))))) | v111(constB85) | ![B: $i] : ((~less_3(B)) | (v127(constB85, B) <=> v130(constB85, B))))),
% 14.78/9.98 inference(rewrite,[status(thm)],[])).
% 14.78/9.99 tff(12249,plain,
% 14.78/9.99 ((~![VarCurr: $i] : (v111(VarCurr) | ![B: $i] : ((~less_3(B)) | (v127(VarCurr, B) <=> v130(VarCurr, B))))) | (v111(constB85) | ![B: $i] : ((~less_3(B)) | (v127(constB85, B) <=> v130(constB85, B))))),
% 14.78/9.99 inference(quant_inst,[status(thm)],[])).
% 14.78/9.99 tff(12250,plain,
% 14.78/9.99 ((~![VarCurr: $i] : (v111(VarCurr) | ![B: $i] : ((~less_3(B)) | (v127(VarCurr, B) <=> v130(VarCurr, B))))) | v111(constB85) | ![B: $i] : ((~less_3(B)) | (v127(constB85, B) <=> v130(constB85, B)))),
% 14.78/9.99 inference(modus_ponens,[status(thm)],[12249, 12248])).
% 14.78/9.99 tff(12251,plain,
% 14.78/9.99 (![B: $i] : ((~less_3(B)) | (v127(constB85, B) <=> v130(constB85, B)))),
% 14.78/9.99 inference(unit_resolution,[status(thm)],[12250, 5177, 12212])).
% 14.78/9.99 tff(12252,plain,
% 14.78/9.99 (((~![B: $i] : ((~less_3(B)) | (v127(constB85, B) <=> v130(constB85, B)))) | ((~less_3(bitIndex2)) | (v127(constB85, bitIndex2) <=> v130(constB85, bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v127(constB85, B) <=> v130(constB85, B)))) | (~less_3(bitIndex2)) | (v127(constB85, bitIndex2) <=> v130(constB85, bitIndex2)))),
% 14.78/9.99 inference(rewrite,[status(thm)],[])).
% 14.78/9.99 tff(12253,plain,
% 14.78/9.99 ((~![B: $i] : ((~less_3(B)) | (v127(constB85, B) <=> v130(constB85, B)))) | ((~less_3(bitIndex2)) | (v127(constB85, bitIndex2) <=> v130(constB85, bitIndex2)))),
% 14.78/9.99 inference(quant_inst,[status(thm)],[])).
% 14.78/9.99 tff(12254,plain,
% 14.78/9.99 ((~![B: $i] : ((~less_3(B)) | (v127(constB85, B) <=> v130(constB85, B)))) | (~less_3(bitIndex2)) | (v127(constB85, bitIndex2) <=> v130(constB85, bitIndex2))),
% 14.78/9.99 inference(modus_ponens,[status(thm)],[12253, 12252])).
% 14.78/9.99 tff(12255,plain,
% 14.78/9.99 (v127(constB85, bitIndex2) <=> v130(constB85, bitIndex2)),
% 14.78/9.99 inference(unit_resolution,[status(thm)],[12254, 413, 12251])).
% 14.78/9.99 tff(12256,plain,
% 14.78/9.99 ((~![VarCurr: $i] : (v119(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))))) | (v119(constB85) <=> (~(v90(constB85, bitIndex0) | v90(constB85, bitIndex1) | v90(constB85, bitIndex2))))),
% 14.78/9.99 inference(quant_inst,[status(thm)],[])).
% 14.78/9.99 tff(12257,plain,
% 14.78/9.99 (v119(constB85) <=> (~(v90(constB85, bitIndex0) | v90(constB85, bitIndex1) | v90(constB85, bitIndex2)))),
% 14.78/9.99 inference(unit_resolution,[status(thm)],[12256, 4971])).
% 14.78/9.99 tff(12258,plain,
% 14.78/9.99 ((v90(constB85, bitIndex0) | v90(constB85, bitIndex1) | v90(constB85, bitIndex2)) | (~v90(constB85, bitIndex2))),
% 14.78/9.99 inference(tautology,[status(thm)],[])).
% 14.78/9.99 tff(12259,plain,
% 14.78/9.99 (v90(constB85, bitIndex0) | v90(constB85, bitIndex1) | v90(constB85, bitIndex2)),
% 14.78/9.99 inference(unit_resolution,[status(thm)],[12258, 12133])).
% 14.78/9.99 tff(12260,plain,
% 14.78/9.99 ((~(v119(constB85) <=> (~(v90(constB85, bitIndex0) | v90(constB85, bitIndex1) | v90(constB85, bitIndex2))))) | (~v119(constB85)) | (~(v90(constB85, bitIndex0) | v90(constB85, bitIndex1) | v90(constB85, bitIndex2)))),
% 14.78/9.99 inference(tautology,[status(thm)],[])).
% 14.78/9.99 tff(12261,plain,
% 14.78/9.99 (~v119(constB85)),
% 14.78/9.99 inference(unit_resolution,[status(thm)],[12260, 12259, 12257])).
% 14.78/9.99 tff(12262,plain,
% 14.78/9.99 (((~![VarCurr: $i] : (v124(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex2)))))) | (v124(constB85) <=> (~((~v90(constB85, bitIndex2)) | v90(constB85, bitIndex1) | (~v90(constB85, bitIndex0)))))) <=> ((~![VarCurr: $i] : (v124(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex2)))))) | (v124(constB85) <=> (~((~v90(constB85, bitIndex2)) | v90(constB85, bitIndex1) | (~v90(constB85, bitIndex0))))))),
% 14.78/9.99 inference(rewrite,[status(thm)],[])).
% 14.78/9.99 tff(12263,plain,
% 14.78/9.99 ((v124(constB85) <=> (~(v90(constB85, bitIndex1) | (~v90(constB85, bitIndex0)) | (~v90(constB85, bitIndex2))))) <=> (v124(constB85) <=> (~((~v90(constB85, bitIndex2)) | v90(constB85, bitIndex1) | (~v90(constB85, bitIndex0)))))),
% 14.78/9.99 inference(rewrite,[status(thm)],[])).
% 14.78/9.99 tff(12264,plain,
% 14.78/9.99 (((~![VarCurr: $i] : (v124(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex2)))))) | (v124(constB85) <=> (~(v90(constB85, bitIndex1) | (~v90(constB85, bitIndex0)) | (~v90(constB85, bitIndex2)))))) <=> ((~![VarCurr: $i] : (v124(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex2)))))) | (v124(constB85) <=> (~((~v90(constB85, bitIndex2)) | v90(constB85, bitIndex1) | (~v90(constB85, bitIndex0))))))),
% 14.78/9.99 inference(monotonicity,[status(thm)],[12263])).
% 14.78/9.99 tff(12265,plain,
% 14.78/9.99 (((~![VarCurr: $i] : (v124(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex2)))))) | (v124(constB85) <=> (~(v90(constB85, bitIndex1) | (~v90(constB85, bitIndex0)) | (~v90(constB85, bitIndex2)))))) <=> ((~![VarCurr: $i] : (v124(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex2)))))) | (v124(constB85) <=> (~((~v90(constB85, bitIndex2)) | v90(constB85, bitIndex1) | (~v90(constB85, bitIndex0))))))),
% 14.78/9.99 inference(transitivity,[status(thm)],[12264, 12262])).
% 14.78/9.99 tff(12266,plain,
% 14.78/9.99 ((~![VarCurr: $i] : (v124(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex2)))))) | (v124(constB85) <=> (~(v90(constB85, bitIndex1) | (~v90(constB85, bitIndex0)) | (~v90(constB85, bitIndex2)))))),
% 14.78/9.99 inference(quant_inst,[status(thm)],[])).
% 14.78/9.99 tff(12267,plain,
% 14.78/9.99 ((~![VarCurr: $i] : (v124(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex2)))))) | (v124(constB85) <=> (~((~v90(constB85, bitIndex2)) | v90(constB85, bitIndex1) | (~v90(constB85, bitIndex0)))))),
% 14.78/9.99 inference(modus_ponens,[status(thm)],[12266, 12265])).
% 14.78/9.99 tff(12268,plain,
% 14.78/9.99 (v124(constB85) <=> (~((~v90(constB85, bitIndex2)) | v90(constB85, bitIndex1) | (~v90(constB85, bitIndex0))))),
% 14.78/9.99 inference(unit_resolution,[status(thm)],[12267, 5539])).
% 14.78/9.99 tff(12269,plain,
% 14.78/9.99 (((~v90(constB85, bitIndex2)) | v90(constB85, bitIndex1) | (~v90(constB85, bitIndex0))) | (~v90(constB85, bitIndex1))),
% 14.78/9.99 inference(tautology,[status(thm)],[])).
% 14.78/9.99 tff(12270,plain,
% 14.78/9.99 ((~v90(constB85, bitIndex2)) | v90(constB85, bitIndex1) | (~v90(constB85, bitIndex0))),
% 14.78/9.99 inference(unit_resolution,[status(thm)],[12269, 12195])).
% 14.78/9.99 tff(12271,plain,
% 14.78/9.99 ((~(v124(constB85) <=> (~((~v90(constB85, bitIndex2)) | v90(constB85, bitIndex1) | (~v90(constB85, bitIndex0)))))) | (~v124(constB85)) | (~((~v90(constB85, bitIndex2)) | v90(constB85, bitIndex1) | (~v90(constB85, bitIndex0))))),
% 14.78/9.99 inference(tautology,[status(thm)],[])).
% 14.78/9.99 tff(12272,plain,
% 14.78/9.99 (~v124(constB85)),
% 14.78/9.99 inference(unit_resolution,[status(thm)],[12271, 12270, 12268])).
% 14.78/9.99 tff(12273,plain,
% 14.78/9.99 (((~![VarCurr: $i] : (v123(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)))))) | (v123(constB85) <=> (~((~v90(constB85, bitIndex2)) | v90(constB85, bitIndex1) | v90(constB85, bitIndex0))))) <=> ((~![VarCurr: $i] : (v123(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)))))) | (v123(constB85) <=> (~((~v90(constB85, bitIndex2)) | v90(constB85, bitIndex1) | v90(constB85, bitIndex0)))))),
% 14.78/9.99 inference(rewrite,[status(thm)],[])).
% 14.78/9.99 tff(12274,plain,
% 14.78/9.99 ((v123(constB85) <=> (~(v90(constB85, bitIndex0) | v90(constB85, bitIndex1) | (~v90(constB85, bitIndex2))))) <=> (v123(constB85) <=> (~((~v90(constB85, bitIndex2)) | v90(constB85, bitIndex1) | v90(constB85, bitIndex0))))),
% 14.78/9.99 inference(rewrite,[status(thm)],[])).
% 14.78/9.99 tff(12275,plain,
% 14.78/9.99 (((~![VarCurr: $i] : (v123(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)))))) | (v123(constB85) <=> (~(v90(constB85, bitIndex0) | v90(constB85, bitIndex1) | (~v90(constB85, bitIndex2)))))) <=> ((~![VarCurr: $i] : (v123(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)))))) | (v123(constB85) <=> (~((~v90(constB85, bitIndex2)) | v90(constB85, bitIndex1) | v90(constB85, bitIndex0)))))),
% 14.78/9.99 inference(monotonicity,[status(thm)],[12274])).
% 14.78/9.99 tff(12276,plain,
% 14.78/9.99 (((~![VarCurr: $i] : (v123(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)))))) | (v123(constB85) <=> (~(v90(constB85, bitIndex0) | v90(constB85, bitIndex1) | (~v90(constB85, bitIndex2)))))) <=> ((~![VarCurr: $i] : (v123(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)))))) | (v123(constB85) <=> (~((~v90(constB85, bitIndex2)) | v90(constB85, bitIndex1) | v90(constB85, bitIndex0)))))),
% 14.78/9.99 inference(transitivity,[status(thm)],[12275, 12273])).
% 14.78/9.99 tff(12277,plain,
% 14.78/9.99 ((~![VarCurr: $i] : (v123(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)))))) | (v123(constB85) <=> (~(v90(constB85, bitIndex0) | v90(constB85, bitIndex1) | (~v90(constB85, bitIndex2)))))),
% 14.78/9.99 inference(quant_inst,[status(thm)],[])).
% 14.78/9.99 tff(12278,plain,
% 14.78/9.99 ((~![VarCurr: $i] : (v123(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)))))) | (v123(constB85) <=> (~((~v90(constB85, bitIndex2)) | v90(constB85, bitIndex1) | v90(constB85, bitIndex0))))),
% 14.78/9.99 inference(modus_ponens,[status(thm)],[12277, 12276])).
% 14.78/9.99 tff(12279,plain,
% 14.78/9.99 (v123(constB85) <=> (~((~v90(constB85, bitIndex2)) | v90(constB85, bitIndex1) | v90(constB85, bitIndex0)))),
% 14.78/9.99 inference(unit_resolution,[status(thm)],[12278, 621])).
% 14.78/9.99 tff(12280,plain,
% 14.78/9.99 (((~v90(constB85, bitIndex2)) | v90(constB85, bitIndex1) | v90(constB85, bitIndex0)) | (~v90(constB85, bitIndex1))),
% 14.78/9.99 inference(tautology,[status(thm)],[])).
% 14.78/9.99 tff(12281,plain,
% 14.78/9.99 ((~v90(constB85, bitIndex2)) | v90(constB85, bitIndex1) | v90(constB85, bitIndex0)),
% 14.78/9.99 inference(unit_resolution,[status(thm)],[12280, 12195])).
% 14.78/9.99 tff(12282,plain,
% 14.78/9.99 ((~(v123(constB85) <=> (~((~v90(constB85, bitIndex2)) | v90(constB85, bitIndex1) | v90(constB85, bitIndex0))))) | (~v123(constB85)) | (~((~v90(constB85, bitIndex2)) | v90(constB85, bitIndex1) | v90(constB85, bitIndex0)))),
% 14.78/9.99 inference(tautology,[status(thm)],[])).
% 14.78/9.99 tff(12283,plain,
% 14.78/9.99 (~v123(constB85)),
% 14.78/9.99 inference(unit_resolution,[status(thm)],[12282, 12281, 12279])).
% 14.78/9.99 tff(12284,plain,
% 14.78/9.99 (((~![VarCurr: $i] : (v122(VarCurr) <=> (~(v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)))))) | (v122(constB85) <=> (~(v90(constB85, bitIndex2) | (~v90(constB85, bitIndex1)) | (~v90(constB85, bitIndex0)))))) <=> ((~![VarCurr: $i] : (v122(VarCurr) <=> (~(v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)))))) | (v122(constB85) <=> (~(v90(constB85, bitIndex2) | (~v90(constB85, bitIndex1)) | (~v90(constB85, bitIndex0))))))),
% 14.78/9.99 inference(rewrite,[status(thm)],[])).
% 14.78/9.99 tff(12285,plain,
% 14.78/9.99 ((v122(constB85) <=> (~(v90(constB85, bitIndex2) | (~v90(constB85, bitIndex0)) | (~v90(constB85, bitIndex1))))) <=> (v122(constB85) <=> (~(v90(constB85, bitIndex2) | (~v90(constB85, bitIndex1)) | (~v90(constB85, bitIndex0)))))),
% 14.78/9.99 inference(rewrite,[status(thm)],[])).
% 14.78/9.99 tff(12286,plain,
% 14.78/9.99 (((~![VarCurr: $i] : (v122(VarCurr) <=> (~(v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)))))) | (v122(constB85) <=> (~(v90(constB85, bitIndex2) | (~v90(constB85, bitIndex0)) | (~v90(constB85, bitIndex1)))))) <=> ((~![VarCurr: $i] : (v122(VarCurr) <=> (~(v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)))))) | (v122(constB85) <=> (~(v90(constB85, bitIndex2) | (~v90(constB85, bitIndex1)) | (~v90(constB85, bitIndex0))))))),
% 14.78/9.99 inference(monotonicity,[status(thm)],[12285])).
% 14.78/9.99 tff(12287,plain,
% 14.78/9.99 (((~![VarCurr: $i] : (v122(VarCurr) <=> (~(v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)))))) | (v122(constB85) <=> (~(v90(constB85, bitIndex2) | (~v90(constB85, bitIndex0)) | (~v90(constB85, bitIndex1)))))) <=> ((~![VarCurr: $i] : (v122(VarCurr) <=> (~(v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)))))) | (v122(constB85) <=> (~(v90(constB85, bitIndex2) | (~v90(constB85, bitIndex1)) | (~v90(constB85, bitIndex0))))))),
% 14.78/9.99 inference(transitivity,[status(thm)],[12286, 12284])).
% 14.78/9.99 tff(12288,plain,
% 14.78/9.99 ((~![VarCurr: $i] : (v122(VarCurr) <=> (~(v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)))))) | (v122(constB85) <=> (~(v90(constB85, bitIndex2) | (~v90(constB85, bitIndex0)) | (~v90(constB85, bitIndex1)))))),
% 14.78/9.99 inference(quant_inst,[status(thm)],[])).
% 14.78/10.00 tff(12289,plain,
% 14.78/10.00 ((~![VarCurr: $i] : (v122(VarCurr) <=> (~(v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)))))) | (v122(constB85) <=> (~(v90(constB85, bitIndex2) | (~v90(constB85, bitIndex1)) | (~v90(constB85, bitIndex0)))))),
% 14.78/10.00 inference(modus_ponens,[status(thm)],[12288, 12287])).
% 14.78/10.00 tff(12290,plain,
% 14.78/10.00 (v122(constB85) <=> (~(v90(constB85, bitIndex2) | (~v90(constB85, bitIndex1)) | (~v90(constB85, bitIndex0))))),
% 14.78/10.00 inference(unit_resolution,[status(thm)],[12289, 734])).
% 14.78/10.00 tff(12291,plain,
% 14.78/10.00 ((v90(constB85, bitIndex2) | (~v90(constB85, bitIndex1)) | (~v90(constB85, bitIndex0))) | (~v90(constB85, bitIndex2))),
% 14.78/10.00 inference(tautology,[status(thm)],[])).
% 14.78/10.00 tff(12292,plain,
% 14.78/10.00 (v90(constB85, bitIndex2) | (~v90(constB85, bitIndex1)) | (~v90(constB85, bitIndex0))),
% 14.78/10.00 inference(unit_resolution,[status(thm)],[12291, 12133])).
% 14.78/10.00 tff(12293,plain,
% 14.78/10.00 ((~(v122(constB85) <=> (~(v90(constB85, bitIndex2) | (~v90(constB85, bitIndex1)) | (~v90(constB85, bitIndex0)))))) | (~v122(constB85)) | (~(v90(constB85, bitIndex2) | (~v90(constB85, bitIndex1)) | (~v90(constB85, bitIndex0))))),
% 14.78/10.00 inference(tautology,[status(thm)],[])).
% 14.78/10.00 tff(12294,plain,
% 14.78/10.00 (~v122(constB85)),
% 14.78/10.00 inference(unit_resolution,[status(thm)],[12293, 12292, 12290])).
% 14.78/10.00 tff(12295,plain,
% 14.78/10.00 (((~![VarCurr: $i] : (v121(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex1)))))) | (v121(constB85) <=> (~(v90(constB85, bitIndex2) | (~v90(constB85, bitIndex1)) | v90(constB85, bitIndex0))))) <=> ((~![VarCurr: $i] : (v121(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex1)))))) | (v121(constB85) <=> (~(v90(constB85, bitIndex2) | (~v90(constB85, bitIndex1)) | v90(constB85, bitIndex0)))))),
% 14.78/10.00 inference(rewrite,[status(thm)],[])).
% 14.78/10.00 tff(12296,plain,
% 14.78/10.00 ((v121(constB85) <=> (~(v90(constB85, bitIndex0) | v90(constB85, bitIndex2) | (~v90(constB85, bitIndex1))))) <=> (v121(constB85) <=> (~(v90(constB85, bitIndex2) | (~v90(constB85, bitIndex1)) | v90(constB85, bitIndex0))))),
% 14.78/10.00 inference(rewrite,[status(thm)],[])).
% 14.78/10.00 tff(12297,plain,
% 14.78/10.00 (((~![VarCurr: $i] : (v121(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex1)))))) | (v121(constB85) <=> (~(v90(constB85, bitIndex0) | v90(constB85, bitIndex2) | (~v90(constB85, bitIndex1)))))) <=> ((~![VarCurr: $i] : (v121(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex1)))))) | (v121(constB85) <=> (~(v90(constB85, bitIndex2) | (~v90(constB85, bitIndex1)) | v90(constB85, bitIndex0)))))),
% 14.78/10.00 inference(monotonicity,[status(thm)],[12296])).
% 14.78/10.00 tff(12298,plain,
% 14.78/10.00 (((~![VarCurr: $i] : (v121(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex1)))))) | (v121(constB85) <=> (~(v90(constB85, bitIndex0) | v90(constB85, bitIndex2) | (~v90(constB85, bitIndex1)))))) <=> ((~![VarCurr: $i] : (v121(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex1)))))) | (v121(constB85) <=> (~(v90(constB85, bitIndex2) | (~v90(constB85, bitIndex1)) | v90(constB85, bitIndex0)))))),
% 14.78/10.00 inference(transitivity,[status(thm)],[12297, 12295])).
% 14.78/10.00 tff(12299,plain,
% 14.78/10.00 ((~![VarCurr: $i] : (v121(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex1)))))) | (v121(constB85) <=> (~(v90(constB85, bitIndex0) | v90(constB85, bitIndex2) | (~v90(constB85, bitIndex1)))))),
% 14.78/10.00 inference(quant_inst,[status(thm)],[])).
% 14.78/10.00 tff(12300,plain,
% 14.78/10.00 ((~![VarCurr: $i] : (v121(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex1)))))) | (v121(constB85) <=> (~(v90(constB85, bitIndex2) | (~v90(constB85, bitIndex1)) | v90(constB85, bitIndex0))))),
% 14.78/10.00 inference(modus_ponens,[status(thm)],[12299, 12298])).
% 14.78/10.00 tff(12301,plain,
% 14.78/10.00 (v121(constB85) <=> (~(v90(constB85, bitIndex2) | (~v90(constB85, bitIndex1)) | v90(constB85, bitIndex0)))),
% 14.78/10.00 inference(unit_resolution,[status(thm)],[12300, 849])).
% 14.78/10.00 tff(12302,plain,
% 14.78/10.00 ((v90(constB85, bitIndex2) | (~v90(constB85, bitIndex1)) | v90(constB85, bitIndex0)) | (~v90(constB85, bitIndex2))),
% 14.80/10.00 inference(tautology,[status(thm)],[])).
% 14.80/10.00 tff(12303,plain,
% 14.80/10.00 (v90(constB85, bitIndex2) | (~v90(constB85, bitIndex1)) | v90(constB85, bitIndex0)),
% 14.80/10.00 inference(unit_resolution,[status(thm)],[12302, 12133])).
% 14.80/10.00 tff(12304,plain,
% 14.80/10.00 ((~(v121(constB85) <=> (~(v90(constB85, bitIndex2) | (~v90(constB85, bitIndex1)) | v90(constB85, bitIndex0))))) | (~v121(constB85)) | (~(v90(constB85, bitIndex2) | (~v90(constB85, bitIndex1)) | v90(constB85, bitIndex0)))),
% 14.80/10.00 inference(tautology,[status(thm)],[])).
% 14.80/10.00 tff(12305,plain,
% 14.80/10.00 (~v121(constB85)),
% 14.80/10.00 inference(unit_resolution,[status(thm)],[12304, 12303, 12301])).
% 14.80/10.00 tff(12306,plain,
% 14.80/10.00 (((~![VarCurr: $i] : (v120(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)))))) | (v120(constB85) <=> (~(v90(constB85, bitIndex2) | v90(constB85, bitIndex1) | (~v90(constB85, bitIndex0)))))) <=> ((~![VarCurr: $i] : (v120(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)))))) | (v120(constB85) <=> (~(v90(constB85, bitIndex2) | v90(constB85, bitIndex1) | (~v90(constB85, bitIndex0))))))),
% 14.80/10.00 inference(rewrite,[status(thm)],[])).
% 14.80/10.00 tff(12307,plain,
% 14.80/10.00 ((v120(constB85) <=> (~(v90(constB85, bitIndex1) | v90(constB85, bitIndex2) | (~v90(constB85, bitIndex0))))) <=> (v120(constB85) <=> (~(v90(constB85, bitIndex2) | v90(constB85, bitIndex1) | (~v90(constB85, bitIndex0)))))),
% 14.80/10.00 inference(rewrite,[status(thm)],[])).
% 14.80/10.00 tff(12308,plain,
% 14.80/10.00 (((~![VarCurr: $i] : (v120(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)))))) | (v120(constB85) <=> (~(v90(constB85, bitIndex1) | v90(constB85, bitIndex2) | (~v90(constB85, bitIndex0)))))) <=> ((~![VarCurr: $i] : (v120(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)))))) | (v120(constB85) <=> (~(v90(constB85, bitIndex2) | v90(constB85, bitIndex1) | (~v90(constB85, bitIndex0))))))),
% 14.80/10.00 inference(monotonicity,[status(thm)],[12307])).
% 14.80/10.00 tff(12309,plain,
% 14.80/10.00 (((~![VarCurr: $i] : (v120(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)))))) | (v120(constB85) <=> (~(v90(constB85, bitIndex1) | v90(constB85, bitIndex2) | (~v90(constB85, bitIndex0)))))) <=> ((~![VarCurr: $i] : (v120(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)))))) | (v120(constB85) <=> (~(v90(constB85, bitIndex2) | v90(constB85, bitIndex1) | (~v90(constB85, bitIndex0))))))),
% 14.80/10.00 inference(transitivity,[status(thm)],[12308, 12306])).
% 14.80/10.00 tff(12310,plain,
% 14.80/10.00 ((~![VarCurr: $i] : (v120(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)))))) | (v120(constB85) <=> (~(v90(constB85, bitIndex1) | v90(constB85, bitIndex2) | (~v90(constB85, bitIndex0)))))),
% 14.80/10.00 inference(quant_inst,[status(thm)],[])).
% 14.80/10.00 tff(12311,plain,
% 14.80/10.00 ((~![VarCurr: $i] : (v120(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)))))) | (v120(constB85) <=> (~(v90(constB85, bitIndex2) | v90(constB85, bitIndex1) | (~v90(constB85, bitIndex0)))))),
% 14.80/10.00 inference(modus_ponens,[status(thm)],[12310, 12309])).
% 14.80/10.00 tff(12312,plain,
% 14.80/10.00 (v120(constB85) <=> (~(v90(constB85, bitIndex2) | v90(constB85, bitIndex1) | (~v90(constB85, bitIndex0))))),
% 14.80/10.00 inference(unit_resolution,[status(thm)],[12311, 966])).
% 14.80/10.00 tff(12313,plain,
% 14.80/10.00 ((v90(constB85, bitIndex2) | v90(constB85, bitIndex1) | (~v90(constB85, bitIndex0))) | (~v90(constB85, bitIndex2))),
% 14.80/10.00 inference(tautology,[status(thm)],[])).
% 14.80/10.00 tff(12314,plain,
% 14.80/10.00 (v90(constB85, bitIndex2) | v90(constB85, bitIndex1) | (~v90(constB85, bitIndex0))),
% 14.80/10.00 inference(unit_resolution,[status(thm)],[12313, 12133])).
% 14.80/10.00 tff(12315,plain,
% 14.80/10.00 ((~(v120(constB85) <=> (~(v90(constB85, bitIndex2) | v90(constB85, bitIndex1) | (~v90(constB85, bitIndex0)))))) | (~v120(constB85)) | (~(v90(constB85, bitIndex2) | v90(constB85, bitIndex1) | (~v90(constB85, bitIndex0))))),
% 14.80/10.00 inference(tautology,[status(thm)],[])).
% 14.80/10.00 tff(12316,plain,
% 14.80/10.00 (~v120(constB85)),
% 14.80/10.00 inference(unit_resolution,[status(thm)],[12315, 12314, 12312])).
% 14.80/10.00 tff(12317,plain,
% 14.80/10.00 (((~![VarCurr: $i] : (v124(VarCurr) | v123(VarCurr) | v122(VarCurr) | v121(VarCurr) | v120(VarCurr) | v119(VarCurr) | ![B: $i] : ((~less_3(B)) | (v130(VarCurr, B) <=> b001(B))))) | (v119(constB85) | v120(constB85) | v121(constB85) | v122(constB85) | v123(constB85) | v124(constB85) | ![B: $i] : ((~less_3(B)) | (v130(constB85, B) <=> b001(B))))) <=> ((~![VarCurr: $i] : (v124(VarCurr) | v123(VarCurr) | v122(VarCurr) | v121(VarCurr) | v120(VarCurr) | v119(VarCurr) | ![B: $i] : ((~less_3(B)) | (v130(VarCurr, B) <=> b001(B))))) | v119(constB85) | v120(constB85) | v121(constB85) | v122(constB85) | v123(constB85) | v124(constB85) | ![B: $i] : ((~less_3(B)) | (v130(constB85, B) <=> b001(B))))),
% 14.80/10.00 inference(rewrite,[status(thm)],[])).
% 14.80/10.00 tff(12318,plain,
% 14.80/10.00 ((v124(constB85) | v123(constB85) | v122(constB85) | v121(constB85) | v120(constB85) | v119(constB85) | ![B: $i] : ((~less_3(B)) | (v130(constB85, B) <=> b001(B)))) <=> (v119(constB85) | v120(constB85) | v121(constB85) | v122(constB85) | v123(constB85) | v124(constB85) | ![B: $i] : ((~less_3(B)) | (v130(constB85, B) <=> b001(B))))),
% 14.80/10.00 inference(rewrite,[status(thm)],[])).
% 14.80/10.00 tff(12319,plain,
% 14.80/10.00 (((~![VarCurr: $i] : (v124(VarCurr) | v123(VarCurr) | v122(VarCurr) | v121(VarCurr) | v120(VarCurr) | v119(VarCurr) | ![B: $i] : ((~less_3(B)) | (v130(VarCurr, B) <=> b001(B))))) | (v124(constB85) | v123(constB85) | v122(constB85) | v121(constB85) | v120(constB85) | v119(constB85) | ![B: $i] : ((~less_3(B)) | (v130(constB85, B) <=> b001(B))))) <=> ((~![VarCurr: $i] : (v124(VarCurr) | v123(VarCurr) | v122(VarCurr) | v121(VarCurr) | v120(VarCurr) | v119(VarCurr) | ![B: $i] : ((~less_3(B)) | (v130(VarCurr, B) <=> b001(B))))) | (v119(constB85) | v120(constB85) | v121(constB85) | v122(constB85) | v123(constB85) | v124(constB85) | ![B: $i] : ((~less_3(B)) | (v130(constB85, B) <=> b001(B)))))),
% 14.80/10.00 inference(monotonicity,[status(thm)],[12318])).
% 14.80/10.00 tff(12320,plain,
% 14.80/10.00 (((~![VarCurr: $i] : (v124(VarCurr) | v123(VarCurr) | v122(VarCurr) | v121(VarCurr) | v120(VarCurr) | v119(VarCurr) | ![B: $i] : ((~less_3(B)) | (v130(VarCurr, B) <=> b001(B))))) | (v124(constB85) | v123(constB85) | v122(constB85) | v121(constB85) | v120(constB85) | v119(constB85) | ![B: $i] : ((~less_3(B)) | (v130(constB85, B) <=> b001(B))))) <=> ((~![VarCurr: $i] : (v124(VarCurr) | v123(VarCurr) | v122(VarCurr) | v121(VarCurr) | v120(VarCurr) | v119(VarCurr) | ![B: $i] : ((~less_3(B)) | (v130(VarCurr, B) <=> b001(B))))) | v119(constB85) | v120(constB85) | v121(constB85) | v122(constB85) | v123(constB85) | v124(constB85) | ![B: $i] : ((~less_3(B)) | (v130(constB85, B) <=> b001(B))))),
% 14.80/10.00 inference(transitivity,[status(thm)],[12319, 12317])).
% 14.80/10.00 tff(12321,plain,
% 14.80/10.00 ((~![VarCurr: $i] : (v124(VarCurr) | v123(VarCurr) | v122(VarCurr) | v121(VarCurr) | v120(VarCurr) | v119(VarCurr) | ![B: $i] : ((~less_3(B)) | (v130(VarCurr, B) <=> b001(B))))) | (v124(constB85) | v123(constB85) | v122(constB85) | v121(constB85) | v120(constB85) | v119(constB85) | ![B: $i] : ((~less_3(B)) | (v130(constB85, B) <=> b001(B))))),
% 14.80/10.00 inference(quant_inst,[status(thm)],[])).
% 14.80/10.00 tff(12322,plain,
% 14.80/10.00 ((~![VarCurr: $i] : (v124(VarCurr) | v123(VarCurr) | v122(VarCurr) | v121(VarCurr) | v120(VarCurr) | v119(VarCurr) | ![B: $i] : ((~less_3(B)) | (v130(VarCurr, B) <=> b001(B))))) | v119(constB85) | v120(constB85) | v121(constB85) | v122(constB85) | v123(constB85) | v124(constB85) | ![B: $i] : ((~less_3(B)) | (v130(constB85, B) <=> b001(B)))),
% 14.80/10.00 inference(modus_ponens,[status(thm)],[12321, 12320])).
% 14.80/10.00 tff(12323,plain,
% 14.80/10.00 (v119(constB85) | v120(constB85) | v121(constB85) | v122(constB85) | v123(constB85) | v124(constB85) | ![B: $i] : ((~less_3(B)) | (v130(constB85, B) <=> b001(B)))),
% 14.80/10.00 inference(unit_resolution,[status(thm)],[12322, 5610])).
% 14.80/10.00 tff(12324,plain,
% 14.80/10.00 (![B: $i] : ((~less_3(B)) | (v130(constB85, B) <=> b001(B)))),
% 14.80/10.00 inference(unit_resolution,[status(thm)],[12323, 12316, 12305, 12294, 12283, 12272, 12261])).
% 14.80/10.00 tff(12325,plain,
% 14.80/10.00 (((~![B: $i] : ((~less_3(B)) | (v130(constB85, B) <=> b001(B)))) | ((~less_3(bitIndex2)) | (v130(constB85, bitIndex2) <=> b001(bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v130(constB85, B) <=> b001(B)))) | (~less_3(bitIndex2)) | (v130(constB85, bitIndex2) <=> b001(bitIndex2)))),
% 14.80/10.01 inference(rewrite,[status(thm)],[])).
% 14.80/10.01 tff(12326,plain,
% 14.80/10.01 ((~![B: $i] : ((~less_3(B)) | (v130(constB85, B) <=> b001(B)))) | ((~less_3(bitIndex2)) | (v130(constB85, bitIndex2) <=> b001(bitIndex2)))),
% 14.80/10.01 inference(quant_inst,[status(thm)],[])).
% 14.80/10.01 tff(12327,plain,
% 14.80/10.01 ((~![B: $i] : ((~less_3(B)) | (v130(constB85, B) <=> b001(B)))) | (~less_3(bitIndex2)) | (v130(constB85, bitIndex2) <=> b001(bitIndex2))),
% 14.80/10.01 inference(modus_ponens,[status(thm)],[12326, 12325])).
% 14.80/10.01 tff(12328,plain,
% 14.80/10.01 (v130(constB85, bitIndex2) <=> b001(bitIndex2)),
% 14.80/10.01 inference(unit_resolution,[status(thm)],[12327, 413, 12324])).
% 14.80/10.01 tff(12329,plain,
% 14.80/10.01 ((~(v130(constB85, bitIndex2) <=> b001(bitIndex2))) | (~v130(constB85, bitIndex2)) | b001(bitIndex2)),
% 14.80/10.01 inference(tautology,[status(thm)],[])).
% 14.80/10.01 tff(12330,plain,
% 14.80/10.01 ((~(v130(constB85, bitIndex2) <=> b001(bitIndex2))) | (~v130(constB85, bitIndex2))),
% 14.80/10.01 inference(unit_resolution,[status(thm)],[12329, 5625])).
% 14.80/10.01 tff(12331,plain,
% 14.80/10.01 (~v130(constB85, bitIndex2)),
% 14.80/10.01 inference(unit_resolution,[status(thm)],[12330, 12328])).
% 14.80/10.01 tff(12332,plain,
% 14.80/10.01 ((~(v127(constB85, bitIndex2) <=> v130(constB85, bitIndex2))) | (~v127(constB85, bitIndex2)) | v130(constB85, bitIndex2)),
% 14.80/10.01 inference(tautology,[status(thm)],[])).
% 14.80/10.01 tff(12333,plain,
% 14.80/10.01 (~v127(constB85, bitIndex2)),
% 14.80/10.01 inference(unit_resolution,[status(thm)],[12332, 12331, 12255])).
% 14.80/10.01 tff(12334,plain,
% 14.80/10.01 ((~(v129(constB86, bitIndex2) <=> v127(constB85, bitIndex2))) | (~v129(constB86, bitIndex2)) | v127(constB85, bitIndex2)),
% 14.80/10.01 inference(tautology,[status(thm)],[])).
% 14.80/10.01 tff(12335,plain,
% 14.80/10.01 (~v129(constB86, bitIndex2)),
% 14.80/10.01 inference(unit_resolution,[status(thm)],[12334, 12333, 12247])).
% 14.80/10.01 tff(12336,plain,
% 14.80/10.01 ((~(v90(constB86, bitIndex2) <=> v129(constB86, bitIndex2))) | (~v90(constB86, bitIndex2)) | v129(constB86, bitIndex2)),
% 14.80/10.01 inference(tautology,[status(thm)],[])).
% 14.80/10.01 tff(12337,plain,
% 14.80/10.01 (~v90(constB86, bitIndex2)),
% 14.80/10.01 inference(unit_resolution,[status(thm)],[12336, 12335, 12239])).
% 14.80/10.01 tff(12338,plain,
% 14.80/10.01 ((~(v90(constB87, bitIndex2) <=> v90(constB86, bitIndex2))) | (~v90(constB87, bitIndex2)) | v90(constB86, bitIndex2)),
% 14.80/10.01 inference(tautology,[status(thm)],[])).
% 14.80/10.01 tff(12339,plain,
% 14.80/10.01 (~v90(constB87, bitIndex2)),
% 14.80/10.01 inference(unit_resolution,[status(thm)],[12338, 12337, 1005])).
% 14.80/10.01 tff(12340,plain,
% 14.80/10.01 (((~![B: $i] : ((~less_3(B)) | (v90(constB87, B) <=> v90(constB86, B)))) | ((~less_3(bitIndex0)) | (v90(constB87, bitIndex0) <=> v90(constB86, bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v90(constB87, B) <=> v90(constB86, B)))) | (~less_3(bitIndex0)) | (v90(constB87, bitIndex0) <=> v90(constB86, bitIndex0)))),
% 14.80/10.01 inference(rewrite,[status(thm)],[])).
% 14.80/10.01 tff(12341,plain,
% 14.80/10.01 ((~![B: $i] : ((~less_3(B)) | (v90(constB87, B) <=> v90(constB86, B)))) | ((~less_3(bitIndex0)) | (v90(constB87, bitIndex0) <=> v90(constB86, bitIndex0)))),
% 14.80/10.01 inference(quant_inst,[status(thm)],[])).
% 14.80/10.01 tff(12342,plain,
% 14.80/10.01 ((~![B: $i] : ((~less_3(B)) | (v90(constB87, B) <=> v90(constB86, B)))) | (~less_3(bitIndex0)) | (v90(constB87, bitIndex0) <=> v90(constB86, bitIndex0))),
% 14.80/10.01 inference(modus_ponens,[status(thm)],[12341, 12340])).
% 14.80/10.01 tff(12343,plain,
% 14.80/10.01 (v90(constB87, bitIndex0) <=> v90(constB86, bitIndex0)),
% 14.80/10.01 inference(unit_resolution,[status(thm)],[12342, 5004, 1001])).
% 14.80/10.01 tff(12344,plain,
% 14.80/10.01 (((~![B: $i] : ((~less_3(B)) | (v90(constB86, B) <=> v129(constB86, B)))) | ((~less_3(bitIndex0)) | (v90(constB86, bitIndex0) <=> v129(constB86, bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v90(constB86, B) <=> v129(constB86, B)))) | (~less_3(bitIndex0)) | (v90(constB86, bitIndex0) <=> v129(constB86, bitIndex0)))),
% 14.80/10.01 inference(rewrite,[status(thm)],[])).
% 14.80/10.01 tff(12345,plain,
% 14.80/10.01 ((~![B: $i] : ((~less_3(B)) | (v90(constB86, B) <=> v129(constB86, B)))) | ((~less_3(bitIndex0)) | (v90(constB86, bitIndex0) <=> v129(constB86, bitIndex0)))),
% 14.80/10.01 inference(quant_inst,[status(thm)],[])).
% 14.80/10.01 tff(12346,plain,
% 14.80/10.01 ((~![B: $i] : ((~less_3(B)) | (v90(constB86, B) <=> v129(constB86, B)))) | (~less_3(bitIndex0)) | (v90(constB86, bitIndex0) <=> v129(constB86, bitIndex0))),
% 14.80/10.01 inference(modus_ponens,[status(thm)],[12345, 12344])).
% 14.80/10.01 tff(12347,plain,
% 14.80/10.01 (v90(constB86, bitIndex0) <=> v129(constB86, bitIndex0)),
% 14.80/10.01 inference(unit_resolution,[status(thm)],[12346, 5004, 12235])).
% 14.80/10.01 tff(12348,plain,
% 14.80/10.01 (((~![B: $i] : ((~less_3(B)) | (v129(constB86, B) <=> v127(constB85, B)))) | ((~less_3(bitIndex0)) | (v129(constB86, bitIndex0) <=> v127(constB85, bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v129(constB86, B) <=> v127(constB85, B)))) | (~less_3(bitIndex0)) | (v129(constB86, bitIndex0) <=> v127(constB85, bitIndex0)))),
% 14.80/10.01 inference(rewrite,[status(thm)],[])).
% 14.80/10.01 tff(12349,plain,
% 14.80/10.01 ((~![B: $i] : ((~less_3(B)) | (v129(constB86, B) <=> v127(constB85, B)))) | ((~less_3(bitIndex0)) | (v129(constB86, bitIndex0) <=> v127(constB85, bitIndex0)))),
% 14.80/10.01 inference(quant_inst,[status(thm)],[])).
% 14.80/10.01 tff(12350,plain,
% 14.80/10.01 ((~![B: $i] : ((~less_3(B)) | (v129(constB86, B) <=> v127(constB85, B)))) | (~less_3(bitIndex0)) | (v129(constB86, bitIndex0) <=> v127(constB85, bitIndex0))),
% 14.80/10.01 inference(modus_ponens,[status(thm)],[12349, 12348])).
% 14.80/10.01 tff(12351,plain,
% 14.80/10.01 (v129(constB86, bitIndex0) <=> v127(constB85, bitIndex0)),
% 14.80/10.01 inference(unit_resolution,[status(thm)],[12350, 5004, 12243])).
% 14.80/10.01 tff(12352,plain,
% 14.80/10.01 (((~![B: $i] : ((~less_3(B)) | (v127(constB85, B) <=> v130(constB85, B)))) | ((~less_3(bitIndex0)) | (v127(constB85, bitIndex0) <=> v130(constB85, bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v127(constB85, B) <=> v130(constB85, B)))) | (~less_3(bitIndex0)) | (v127(constB85, bitIndex0) <=> v130(constB85, bitIndex0)))),
% 14.80/10.01 inference(rewrite,[status(thm)],[])).
% 14.80/10.01 tff(12353,plain,
% 14.80/10.01 ((~![B: $i] : ((~less_3(B)) | (v127(constB85, B) <=> v130(constB85, B)))) | ((~less_3(bitIndex0)) | (v127(constB85, bitIndex0) <=> v130(constB85, bitIndex0)))),
% 14.80/10.01 inference(quant_inst,[status(thm)],[])).
% 14.80/10.01 tff(12354,plain,
% 14.80/10.01 ((~![B: $i] : ((~less_3(B)) | (v127(constB85, B) <=> v130(constB85, B)))) | (~less_3(bitIndex0)) | (v127(constB85, bitIndex0) <=> v130(constB85, bitIndex0))),
% 14.80/10.01 inference(modus_ponens,[status(thm)],[12353, 12352])).
% 14.80/10.01 tff(12355,plain,
% 14.80/10.01 (v127(constB85, bitIndex0) <=> v130(constB85, bitIndex0)),
% 14.80/10.01 inference(unit_resolution,[status(thm)],[12354, 5004, 12251])).
% 14.80/10.01 tff(12356,plain,
% 14.80/10.01 (((~![B: $i] : ((~less_3(B)) | (v130(constB85, B) <=> b001(B)))) | ((~less_3(bitIndex0)) | (v130(constB85, bitIndex0) <=> b001(bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v130(constB85, B) <=> b001(B)))) | (~less_3(bitIndex0)) | (v130(constB85, bitIndex0) <=> b001(bitIndex0)))),
% 14.80/10.01 inference(rewrite,[status(thm)],[])).
% 14.80/10.01 tff(12357,plain,
% 14.80/10.01 ((~![B: $i] : ((~less_3(B)) | (v130(constB85, B) <=> b001(B)))) | ((~less_3(bitIndex0)) | (v130(constB85, bitIndex0) <=> b001(bitIndex0)))),
% 14.80/10.01 inference(quant_inst,[status(thm)],[])).
% 14.80/10.01 tff(12358,plain,
% 14.80/10.01 ((~![B: $i] : ((~less_3(B)) | (v130(constB85, B) <=> b001(B)))) | (~less_3(bitIndex0)) | (v130(constB85, bitIndex0) <=> b001(bitIndex0))),
% 14.80/10.01 inference(modus_ponens,[status(thm)],[12357, 12356])).
% 14.80/10.01 tff(12359,plain,
% 14.80/10.01 (v130(constB85, bitIndex0) <=> b001(bitIndex0)),
% 14.80/10.01 inference(unit_resolution,[status(thm)],[12358, 5004, 12324])).
% 14.80/10.01 tff(12360,plain,
% 14.80/10.01 ((~(v130(constB85, bitIndex0) <=> b001(bitIndex0))) | v130(constB85, bitIndex0) | (~b001(bitIndex0))),
% 14.80/10.01 inference(tautology,[status(thm)],[])).
% 14.80/10.01 tff(12361,plain,
% 14.80/10.01 ((~(v130(constB85, bitIndex0) <=> b001(bitIndex0))) | v130(constB85, bitIndex0)),
% 14.80/10.01 inference(unit_resolution,[status(thm)],[12360, 5659])).
% 14.80/10.01 tff(12362,plain,
% 14.80/10.01 (v130(constB85, bitIndex0)),
% 14.80/10.01 inference(unit_resolution,[status(thm)],[12361, 12359])).
% 14.80/10.01 tff(12363,plain,
% 14.80/10.01 ((~(v127(constB85, bitIndex0) <=> v130(constB85, bitIndex0))) | v127(constB85, bitIndex0) | (~v130(constB85, bitIndex0))),
% 14.80/10.01 inference(tautology,[status(thm)],[])).
% 14.80/10.01 tff(12364,plain,
% 14.80/10.01 (v127(constB85, bitIndex0)),
% 14.80/10.01 inference(unit_resolution,[status(thm)],[12363, 12362, 12355])).
% 14.80/10.01 tff(12365,plain,
% 14.80/10.01 ((~(v129(constB86, bitIndex0) <=> v127(constB85, bitIndex0))) | v129(constB86, bitIndex0) | (~v127(constB85, bitIndex0))),
% 14.80/10.01 inference(tautology,[status(thm)],[])).
% 14.80/10.01 tff(12366,plain,
% 14.80/10.01 (v129(constB86, bitIndex0)),
% 14.80/10.01 inference(unit_resolution,[status(thm)],[12365, 12364, 12351])).
% 14.80/10.01 tff(12367,plain,
% 14.80/10.01 ((~(v90(constB86, bitIndex0) <=> v129(constB86, bitIndex0))) | v90(constB86, bitIndex0) | (~v129(constB86, bitIndex0))),
% 14.80/10.01 inference(tautology,[status(thm)],[])).
% 14.80/10.01 tff(12368,plain,
% 14.80/10.01 (v90(constB86, bitIndex0)),
% 14.80/10.01 inference(unit_resolution,[status(thm)],[12367, 12366, 12347])).
% 14.80/10.01 tff(12369,plain,
% 14.80/10.01 ((~(v90(constB87, bitIndex0) <=> v90(constB86, bitIndex0))) | v90(constB87, bitIndex0) | (~v90(constB86, bitIndex0))),
% 14.80/10.01 inference(tautology,[status(thm)],[])).
% 14.80/10.01 tff(12370,plain,
% 14.80/10.01 (v90(constB87, bitIndex0)),
% 14.80/10.01 inference(unit_resolution,[status(thm)],[12369, 12368, 12343])).
% 14.80/10.01 tff(12371,plain,
% 14.80/10.01 (((~![B: $i] : ((~less_3(B)) | (v90(constB87, B) <=> v90(constB86, B)))) | ((~less_3(bitIndex1)) | (v90(constB87, bitIndex1) <=> v90(constB86, bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v90(constB87, B) <=> v90(constB86, B)))) | (~less_3(bitIndex1)) | (v90(constB87, bitIndex1) <=> v90(constB86, bitIndex1)))),
% 14.80/10.01 inference(rewrite,[status(thm)],[])).
% 14.80/10.01 tff(12372,plain,
% 14.80/10.01 ((~![B: $i] : ((~less_3(B)) | (v90(constB87, B) <=> v90(constB86, B)))) | ((~less_3(bitIndex1)) | (v90(constB87, bitIndex1) <=> v90(constB86, bitIndex1)))),
% 14.80/10.01 inference(quant_inst,[status(thm)],[])).
% 14.80/10.01 tff(12373,plain,
% 14.80/10.01 ((~![B: $i] : ((~less_3(B)) | (v90(constB87, B) <=> v90(constB86, B)))) | (~less_3(bitIndex1)) | (v90(constB87, bitIndex1) <=> v90(constB86, bitIndex1))),
% 14.80/10.01 inference(modus_ponens,[status(thm)],[12372, 12371])).
% 14.80/10.01 tff(12374,plain,
% 14.80/10.01 (v90(constB87, bitIndex1) <=> v90(constB86, bitIndex1)),
% 14.80/10.01 inference(unit_resolution,[status(thm)],[12373, 5017, 1001])).
% 14.80/10.01 tff(12375,plain,
% 14.80/10.01 (((~![B: $i] : ((~less_3(B)) | (v90(constB86, B) <=> v129(constB86, B)))) | ((~less_3(bitIndex1)) | (v90(constB86, bitIndex1) <=> v129(constB86, bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v90(constB86, B) <=> v129(constB86, B)))) | (~less_3(bitIndex1)) | (v90(constB86, bitIndex1) <=> v129(constB86, bitIndex1)))),
% 14.80/10.01 inference(rewrite,[status(thm)],[])).
% 14.80/10.01 tff(12376,plain,
% 14.80/10.01 ((~![B: $i] : ((~less_3(B)) | (v90(constB86, B) <=> v129(constB86, B)))) | ((~less_3(bitIndex1)) | (v90(constB86, bitIndex1) <=> v129(constB86, bitIndex1)))),
% 14.80/10.01 inference(quant_inst,[status(thm)],[])).
% 14.80/10.01 tff(12377,plain,
% 14.80/10.01 ((~![B: $i] : ((~less_3(B)) | (v90(constB86, B) <=> v129(constB86, B)))) | (~less_3(bitIndex1)) | (v90(constB86, bitIndex1) <=> v129(constB86, bitIndex1))),
% 14.80/10.01 inference(modus_ponens,[status(thm)],[12376, 12375])).
% 14.80/10.01 tff(12378,plain,
% 14.80/10.01 (v90(constB86, bitIndex1) <=> v129(constB86, bitIndex1)),
% 14.80/10.01 inference(unit_resolution,[status(thm)],[12377, 5017, 12235])).
% 14.80/10.01 tff(12379,plain,
% 14.80/10.01 (((~![B: $i] : ((~less_3(B)) | (v129(constB86, B) <=> v127(constB85, B)))) | ((~less_3(bitIndex1)) | (v129(constB86, bitIndex1) <=> v127(constB85, bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v129(constB86, B) <=> v127(constB85, B)))) | (~less_3(bitIndex1)) | (v129(constB86, bitIndex1) <=> v127(constB85, bitIndex1)))),
% 14.80/10.01 inference(rewrite,[status(thm)],[])).
% 14.80/10.01 tff(12380,plain,
% 14.80/10.01 ((~![B: $i] : ((~less_3(B)) | (v129(constB86, B) <=> v127(constB85, B)))) | ((~less_3(bitIndex1)) | (v129(constB86, bitIndex1) <=> v127(constB85, bitIndex1)))),
% 14.80/10.01 inference(quant_inst,[status(thm)],[])).
% 14.80/10.01 tff(12381,plain,
% 14.80/10.01 ((~![B: $i] : ((~less_3(B)) | (v129(constB86, B) <=> v127(constB85, B)))) | (~less_3(bitIndex1)) | (v129(constB86, bitIndex1) <=> v127(constB85, bitIndex1))),
% 14.80/10.01 inference(modus_ponens,[status(thm)],[12380, 12379])).
% 14.80/10.01 tff(12382,plain,
% 14.80/10.01 (v129(constB86, bitIndex1) <=> v127(constB85, bitIndex1)),
% 14.80/10.01 inference(unit_resolution,[status(thm)],[12381, 5017, 12243])).
% 14.80/10.01 tff(12383,plain,
% 14.80/10.01 (((~![B: $i] : ((~less_3(B)) | (v127(constB85, B) <=> v130(constB85, B)))) | ((~less_3(bitIndex1)) | (v127(constB85, bitIndex1) <=> v130(constB85, bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v127(constB85, B) <=> v130(constB85, B)))) | (~less_3(bitIndex1)) | (v127(constB85, bitIndex1) <=> v130(constB85, bitIndex1)))),
% 14.81/10.01 inference(rewrite,[status(thm)],[])).
% 14.81/10.01 tff(12384,plain,
% 14.81/10.01 ((~![B: $i] : ((~less_3(B)) | (v127(constB85, B) <=> v130(constB85, B)))) | ((~less_3(bitIndex1)) | (v127(constB85, bitIndex1) <=> v130(constB85, bitIndex1)))),
% 14.81/10.01 inference(quant_inst,[status(thm)],[])).
% 14.81/10.01 tff(12385,plain,
% 14.81/10.01 ((~![B: $i] : ((~less_3(B)) | (v127(constB85, B) <=> v130(constB85, B)))) | (~less_3(bitIndex1)) | (v127(constB85, bitIndex1) <=> v130(constB85, bitIndex1))),
% 14.81/10.01 inference(modus_ponens,[status(thm)],[12384, 12383])).
% 14.81/10.01 tff(12386,plain,
% 14.81/10.01 (v127(constB85, bitIndex1) <=> v130(constB85, bitIndex1)),
% 14.81/10.01 inference(unit_resolution,[status(thm)],[12385, 5017, 12251])).
% 14.81/10.01 tff(12387,plain,
% 14.81/10.01 (((~![B: $i] : ((~less_3(B)) | (v130(constB85, B) <=> b001(B)))) | ((~less_3(bitIndex1)) | (v130(constB85, bitIndex1) <=> b001(bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v130(constB85, B) <=> b001(B)))) | (~less_3(bitIndex1)) | (v130(constB85, bitIndex1) <=> b001(bitIndex1)))),
% 14.81/10.01 inference(rewrite,[status(thm)],[])).
% 14.81/10.01 tff(12388,plain,
% 14.81/10.01 ((~![B: $i] : ((~less_3(B)) | (v130(constB85, B) <=> b001(B)))) | ((~less_3(bitIndex1)) | (v130(constB85, bitIndex1) <=> b001(bitIndex1)))),
% 14.81/10.01 inference(quant_inst,[status(thm)],[])).
% 14.81/10.01 tff(12389,plain,
% 14.81/10.01 ((~![B: $i] : ((~less_3(B)) | (v130(constB85, B) <=> b001(B)))) | (~less_3(bitIndex1)) | (v130(constB85, bitIndex1) <=> b001(bitIndex1))),
% 14.81/10.01 inference(modus_ponens,[status(thm)],[12388, 12387])).
% 14.81/10.01 tff(12390,plain,
% 14.81/10.01 (v130(constB85, bitIndex1) <=> b001(bitIndex1)),
% 14.81/10.01 inference(unit_resolution,[status(thm)],[12389, 5017, 12324])).
% 14.81/10.01 tff(12391,plain,
% 14.81/10.01 ((~(v130(constB85, bitIndex1) <=> b001(bitIndex1))) | (~v130(constB85, bitIndex1)) | b001(bitIndex1)),
% 14.81/10.01 inference(tautology,[status(thm)],[])).
% 14.81/10.01 tff(12392,plain,
% 14.81/10.01 ((~(v130(constB85, bitIndex1) <=> b001(bitIndex1))) | (~v130(constB85, bitIndex1))),
% 14.81/10.01 inference(unit_resolution,[status(thm)],[12391, 5693])).
% 14.81/10.01 tff(12393,plain,
% 14.81/10.01 (~v130(constB85, bitIndex1)),
% 14.81/10.01 inference(unit_resolution,[status(thm)],[12392, 12390])).
% 14.81/10.01 tff(12394,plain,
% 14.81/10.01 ((~(v127(constB85, bitIndex1) <=> v130(constB85, bitIndex1))) | (~v127(constB85, bitIndex1)) | v130(constB85, bitIndex1)),
% 14.81/10.01 inference(tautology,[status(thm)],[])).
% 14.81/10.01 tff(12395,plain,
% 14.81/10.01 (~v127(constB85, bitIndex1)),
% 14.81/10.01 inference(unit_resolution,[status(thm)],[12394, 12393, 12386])).
% 14.81/10.01 tff(12396,plain,
% 14.81/10.01 ((~(v129(constB86, bitIndex1) <=> v127(constB85, bitIndex1))) | (~v129(constB86, bitIndex1)) | v127(constB85, bitIndex1)),
% 14.81/10.01 inference(tautology,[status(thm)],[])).
% 14.81/10.01 tff(12397,plain,
% 14.81/10.01 (~v129(constB86, bitIndex1)),
% 14.81/10.01 inference(unit_resolution,[status(thm)],[12396, 12395, 12382])).
% 14.81/10.01 tff(12398,plain,
% 14.81/10.01 ((~(v90(constB86, bitIndex1) <=> v129(constB86, bitIndex1))) | (~v90(constB86, bitIndex1)) | v129(constB86, bitIndex1)),
% 14.81/10.01 inference(tautology,[status(thm)],[])).
% 14.81/10.01 tff(12399,plain,
% 14.81/10.01 (~v90(constB86, bitIndex1)),
% 14.81/10.01 inference(unit_resolution,[status(thm)],[12398, 12397, 12378])).
% 14.81/10.01 tff(12400,plain,
% 14.81/10.01 ((~(v90(constB87, bitIndex1) <=> v90(constB86, bitIndex1))) | (~v90(constB87, bitIndex1)) | v90(constB86, bitIndex1)),
% 14.81/10.01 inference(tautology,[status(thm)],[])).
% 14.81/10.01 tff(12401,plain,
% 14.81/10.01 (~v90(constB87, bitIndex1)),
% 14.81/10.01 inference(unit_resolution,[status(thm)],[12400, 12399, 12374])).
% 14.81/10.01 tff(12402,plain,
% 14.81/10.01 ((~(v90(constB87, bitIndex2) | v90(constB87, bitIndex1) | (~v90(constB87, bitIndex0)))) | v90(constB87, bitIndex2) | v90(constB87, bitIndex1) | (~v90(constB87, bitIndex0))),
% 14.81/10.01 inference(tautology,[status(thm)],[])).
% 14.81/10.01 tff(12403,plain,
% 14.81/10.01 (~(v90(constB87, bitIndex2) | v90(constB87, bitIndex1) | (~v90(constB87, bitIndex0)))),
% 14.81/10.01 inference(unit_resolution,[status(thm)],[12402, 12401, 12370, 12339])).
% 14.81/10.01 tff(12404,plain,
% 14.81/10.01 ((~(v120(constB87) <=> (~(v90(constB87, bitIndex2) | v90(constB87, bitIndex1) | (~v90(constB87, bitIndex0)))))) | v120(constB87) | (v90(constB87, bitIndex2) | v90(constB87, bitIndex1) | (~v90(constB87, bitIndex0)))),
% 14.81/10.01 inference(tautology,[status(thm)],[])).
% 14.81/10.01 tff(12405,plain,
% 14.81/10.02 (v120(constB87)),
% 14.81/10.02 inference(unit_resolution,[status(thm)],[12404, 12403, 973])).
% 14.81/10.02 tff(12406,plain,
% 14.81/10.02 ((v119(constB87) | v120(constB87)) | (~v120(constB87))),
% 14.81/10.02 inference(tautology,[status(thm)],[])).
% 14.81/10.02 tff(12407,plain,
% 14.81/10.02 (v119(constB87) | v120(constB87)),
% 14.81/10.02 inference(unit_resolution,[status(thm)],[12406, 12405])).
% 14.81/10.02 tff(12408,plain,
% 14.81/10.02 ((~(v118(constB87) <=> (v119(constB87) | v120(constB87)))) | v118(constB87) | (~(v119(constB87) | v120(constB87)))),
% 14.81/10.02 inference(tautology,[status(thm)],[])).
% 14.81/10.02 tff(12409,plain,
% 14.81/10.02 (v118(constB87)),
% 14.81/10.02 inference(unit_resolution,[status(thm)],[12408, 12407, 953])).
% 14.81/10.02 tff(12410,plain,
% 14.81/10.02 ((v118(constB87) | v121(constB87)) | (~v118(constB87))),
% 14.81/10.02 inference(tautology,[status(thm)],[])).
% 14.81/10.02 tff(12411,plain,
% 14.81/10.02 (v118(constB87) | v121(constB87)),
% 14.81/10.02 inference(unit_resolution,[status(thm)],[12410, 12409])).
% 14.81/10.02 tff(12412,plain,
% 14.81/10.02 ((~(v117(constB87) <=> (v118(constB87) | v121(constB87)))) | v117(constB87) | (~(v118(constB87) | v121(constB87)))),
% 14.81/10.02 inference(tautology,[status(thm)],[])).
% 14.81/10.02 tff(12413,plain,
% 14.81/10.02 (v117(constB87)),
% 14.81/10.02 inference(unit_resolution,[status(thm)],[12412, 12411, 944])).
% 14.81/10.02 tff(12414,plain,
% 14.81/10.02 ((v117(constB87) | v122(constB87)) | (~v117(constB87))),
% 14.81/10.02 inference(tautology,[status(thm)],[])).
% 14.81/10.02 tff(12415,plain,
% 14.81/10.02 (v117(constB87) | v122(constB87)),
% 14.81/10.02 inference(unit_resolution,[status(thm)],[12414, 12413])).
% 14.81/10.02 tff(12416,plain,
% 14.81/10.02 ((~(v116(constB87) <=> (v117(constB87) | v122(constB87)))) | v116(constB87) | (~(v117(constB87) | v122(constB87)))),
% 14.81/10.02 inference(tautology,[status(thm)],[])).
% 14.81/10.02 tff(12417,plain,
% 14.81/10.02 (v116(constB87)),
% 14.81/10.02 inference(unit_resolution,[status(thm)],[12416, 12415, 942])).
% 14.81/10.02 tff(12418,plain,
% 14.81/10.02 ((v116(constB87) | v123(constB87)) | (~v116(constB87))),
% 14.81/10.02 inference(tautology,[status(thm)],[])).
% 14.81/10.02 tff(12419,plain,
% 14.81/10.02 (v116(constB87) | v123(constB87)),
% 14.81/10.02 inference(unit_resolution,[status(thm)],[12418, 12417])).
% 14.81/10.02 tff(12420,plain,
% 14.81/10.02 ((~(v115(constB87) <=> (v116(constB87) | v123(constB87)))) | v115(constB87) | (~(v116(constB87) | v123(constB87)))),
% 14.81/10.02 inference(tautology,[status(thm)],[])).
% 14.81/10.02 tff(12421,plain,
% 14.81/10.02 (v115(constB87)),
% 14.81/10.02 inference(unit_resolution,[status(thm)],[12420, 12419, 940])).
% 14.81/10.02 tff(12422,plain,
% 14.81/10.02 ((v115(constB87) | v124(constB87)) | (~v115(constB87))),
% 14.81/10.02 inference(tautology,[status(thm)],[])).
% 14.81/10.02 tff(12423,plain,
% 14.81/10.02 (v115(constB87) | v124(constB87)),
% 14.81/10.02 inference(unit_resolution,[status(thm)],[12422, 12421])).
% 14.81/10.02 tff(12424,plain,
% 14.81/10.02 ((~(v114(constB87) <=> (v115(constB87) | v124(constB87)))) | v114(constB87) | (~(v115(constB87) | v124(constB87)))),
% 14.81/10.02 inference(tautology,[status(thm)],[])).
% 14.81/10.02 tff(12425,plain,
% 14.81/10.02 (v114(constB87)),
% 14.81/10.02 inference(unit_resolution,[status(thm)],[12424, 12423, 938])).
% 14.81/10.02 tff(12426,plain,
% 14.81/10.02 ((v114(constB87) | v125(constB87)) | (~v114(constB87))),
% 14.81/10.02 inference(tautology,[status(thm)],[])).
% 14.81/10.02 tff(12427,plain,
% 14.81/10.02 (v114(constB87) | v125(constB87)),
% 14.81/10.02 inference(unit_resolution,[status(thm)],[12426, 12425])).
% 14.81/10.02 tff(12428,plain,
% 14.81/10.02 ((~(v113(constB87) <=> (v114(constB87) | v125(constB87)))) | v113(constB87) | (~(v114(constB87) | v125(constB87)))),
% 14.81/10.02 inference(tautology,[status(thm)],[])).
% 14.81/10.02 tff(12429,plain,
% 14.81/10.02 (v113(constB87)),
% 14.81/10.02 inference(unit_resolution,[status(thm)],[12428, 12427, 936])).
% 14.81/10.02 tff(12430,plain,
% 14.81/10.02 ((~![VarCurr: $i] : ((~v126(VarCurr)) <=> v111(VarCurr))) | ((~v126(constB87)) <=> v111(constB87))),
% 14.81/10.02 inference(quant_inst,[status(thm)],[])).
% 14.81/10.02 tff(12431,plain,
% 14.81/10.02 ((~v126(constB87)) <=> v111(constB87)),
% 14.81/10.02 inference(unit_resolution,[status(thm)],[12430, 5074])).
% 14.81/10.02 tff(12432,plain,
% 14.81/10.02 ((~![VarCurr: $i] : (v111(VarCurr) <=> v26(VarCurr))) | (v111(constB87) <=> v26(constB87))),
% 14.81/10.02 inference(quant_inst,[status(thm)],[])).
% 14.81/10.02 tff(12433,plain,
% 14.81/10.02 (v111(constB87) <=> v26(constB87)),
% 14.81/10.02 inference(unit_resolution,[status(thm)],[12432, 5086])).
% 14.81/10.02 tff(12434,plain,
% 14.81/10.02 ((~![VarCurr: $i] : (~v26(VarCurr))) | (~v26(constB87))),
% 14.81/10.02 inference(quant_inst,[status(thm)],[])).
% 14.81/10.02 tff(12435,plain,
% 14.81/10.02 (~v26(constB87)),
% 14.81/10.02 inference(unit_resolution,[status(thm)],[12434, 5098])).
% 14.81/10.02 tff(12436,plain,
% 14.81/10.02 ((~(v111(constB87) <=> v26(constB87))) | (~v111(constB87)) | v26(constB87)),
% 14.81/10.02 inference(tautology,[status(thm)],[])).
% 14.81/10.02 tff(12437,plain,
% 14.81/10.02 ((~(v111(constB87) <=> v26(constB87))) | (~v111(constB87))),
% 14.81/10.02 inference(unit_resolution,[status(thm)],[12436, 12435])).
% 14.81/10.02 tff(12438,plain,
% 14.81/10.02 (~v111(constB87)),
% 14.81/10.02 inference(unit_resolution,[status(thm)],[12437, 12433])).
% 14.81/10.02 tff(12439,plain,
% 14.81/10.02 ((~((~v126(constB87)) <=> v111(constB87))) | v126(constB87) | v111(constB87)),
% 14.81/10.02 inference(tautology,[status(thm)],[])).
% 14.81/10.02 tff(12440,plain,
% 14.81/10.02 ((~((~v126(constB87)) <=> v111(constB87))) | v126(constB87)),
% 14.81/10.02 inference(unit_resolution,[status(thm)],[12439, 12438])).
% 14.81/10.02 tff(12441,plain,
% 14.81/10.02 (v126(constB87)),
% 14.81/10.02 inference(unit_resolution,[status(thm)],[12440, 12431])).
% 14.81/10.02 tff(12442,plain,
% 14.81/10.02 ((~((~v113(constB87)) | (~v126(constB87)))) | (~v113(constB87)) | (~v126(constB87))),
% 14.81/10.02 inference(tautology,[status(thm)],[])).
% 14.81/10.02 tff(12443,plain,
% 14.81/10.02 ((~((~v113(constB87)) | (~v126(constB87)))) | (~v113(constB87))),
% 14.81/10.02 inference(unit_resolution,[status(thm)],[12442, 12441])).
% 14.81/10.02 tff(12444,plain,
% 14.81/10.02 (~((~v113(constB87)) | (~v126(constB87)))),
% 14.81/10.02 inference(unit_resolution,[status(thm)],[12443, 12429])).
% 14.81/10.02 tff(12445,plain,
% 14.81/10.02 ((~(v112(constB87) <=> (~((~v113(constB87)) | (~v126(constB87)))))) | v112(constB87) | ((~v113(constB87)) | (~v126(constB87)))),
% 14.81/10.02 inference(tautology,[status(thm)],[])).
% 14.81/10.02 tff(12446,plain,
% 14.81/10.02 (v112(constB87)),
% 14.81/10.02 inference(unit_resolution,[status(thm)],[12445, 12444, 934])).
% 14.81/10.02 tff(12447,plain,
% 14.81/10.02 ((v111(constB87) | v112(constB87)) | (~v112(constB87))),
% 14.81/10.02 inference(tautology,[status(thm)],[])).
% 14.81/10.02 tff(12448,plain,
% 14.81/10.02 (v111(constB87) | v112(constB87)),
% 14.81/10.02 inference(unit_resolution,[status(thm)],[12447, 12446])).
% 14.81/10.02 tff(12449,plain,
% 14.81/10.02 ((~(v108(constB87) <=> (v111(constB87) | v112(constB87)))) | v108(constB87) | (~(v111(constB87) | v112(constB87)))),
% 14.81/10.02 inference(tautology,[status(thm)],[])).
% 14.81/10.02 tff(12450,plain,
% 14.81/10.02 (v108(constB87)),
% 14.81/10.02 inference(unit_resolution,[status(thm)],[12449, 12448, 932])).
% 14.81/10.02 tff(12451,plain,
% 14.81/10.02 ((~(v110(constB88) <=> v108(constB87))) | v110(constB88) | (~v108(constB87))),
% 14.81/10.02 inference(tautology,[status(thm)],[])).
% 14.81/10.02 tff(12452,plain,
% 14.81/10.02 (v110(constB88)),
% 14.81/10.02 inference(unit_resolution,[status(thm)],[12451, 12450, 930])).
% 14.81/10.02 tff(12453,plain,
% 14.81/10.02 ((~((~v101(constB88)) | (~v110(constB88)))) | (~v101(constB88)) | (~v110(constB88))),
% 14.81/10.02 inference(tautology,[status(thm)],[])).
% 14.81/10.02 tff(12454,plain,
% 14.81/10.02 (~((~v101(constB88)) | (~v110(constB88)))),
% 14.81/10.02 inference(unit_resolution,[status(thm)],[12453, 12452, 926])).
% 14.81/10.02 tff(12455,plain,
% 14.81/10.02 ((~(v100(constB88) <=> (~((~v101(constB88)) | (~v110(constB88)))))) | v100(constB88) | ((~v101(constB88)) | (~v110(constB88)))),
% 14.81/10.02 inference(tautology,[status(thm)],[])).
% 14.81/10.02 tff(12456,plain,
% 14.81/10.02 (v100(constB88)),
% 14.81/10.02 inference(unit_resolution,[status(thm)],[12455, 12454, 895])).
% 14.81/10.02 tff(12457,plain,
% 14.81/10.02 (((~![VarNext: $i] : ((~v100(VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v129(VarNext, B))))) | ((~v100(constB88)) | ![B: $i] : ((~less_3(B)) | (v90(constB88, B) <=> v129(constB88, B))))) <=> ((~![VarNext: $i] : ((~v100(VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v129(VarNext, B))))) | (~v100(constB88)) | ![B: $i] : ((~less_3(B)) | (v90(constB88, B) <=> v129(constB88, B))))),
% 14.81/10.02 inference(rewrite,[status(thm)],[])).
% 14.81/10.02 tff(12458,plain,
% 14.81/10.02 ((~![VarNext: $i] : ((~v100(VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v129(VarNext, B))))) | ((~v100(constB88)) | ![B: $i] : ((~less_3(B)) | (v90(constB88, B) <=> v129(constB88, B))))),
% 14.81/10.02 inference(quant_inst,[status(thm)],[])).
% 14.81/10.02 tff(12459,plain,
% 14.81/10.02 ((~![VarNext: $i] : ((~v100(VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v129(VarNext, B))))) | (~v100(constB88)) | ![B: $i] : ((~less_3(B)) | (v90(constB88, B) <=> v129(constB88, B)))),
% 14.81/10.02 inference(modus_ponens,[status(thm)],[12458, 12457])).
% 14.81/10.02 tff(12460,plain,
% 14.81/10.02 ((~v100(constB88)) | ![B: $i] : ((~less_3(B)) | (v90(constB88, B) <=> v129(constB88, B)))),
% 14.81/10.02 inference(unit_resolution,[status(thm)],[12459, 5134])).
% 14.81/10.02 tff(12461,plain,
% 14.81/10.02 (![B: $i] : ((~less_3(B)) | (v90(constB88, B) <=> v129(constB88, B)))),
% 14.81/10.02 inference(unit_resolution,[status(thm)],[12460, 12456])).
% 14.81/10.02 tff(12462,plain,
% 14.81/10.02 (((~![B: $i] : ((~less_3(B)) | (v90(constB88, B) <=> v129(constB88, B)))) | ((~less_3(bitIndex2)) | (v90(constB88, bitIndex2) <=> v129(constB88, bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v90(constB88, B) <=> v129(constB88, B)))) | (~less_3(bitIndex2)) | (v90(constB88, bitIndex2) <=> v129(constB88, bitIndex2)))),
% 14.81/10.02 inference(rewrite,[status(thm)],[])).
% 14.81/10.02 tff(12463,plain,
% 14.81/10.02 ((~![B: $i] : ((~less_3(B)) | (v90(constB88, B) <=> v129(constB88, B)))) | ((~less_3(bitIndex2)) | (v90(constB88, bitIndex2) <=> v129(constB88, bitIndex2)))),
% 14.81/10.02 inference(quant_inst,[status(thm)],[])).
% 14.81/10.02 tff(12464,plain,
% 14.81/10.02 ((~![B: $i] : ((~less_3(B)) | (v90(constB88, B) <=> v129(constB88, B)))) | (~less_3(bitIndex2)) | (v90(constB88, bitIndex2) <=> v129(constB88, bitIndex2))),
% 14.81/10.02 inference(modus_ponens,[status(thm)],[12463, 12462])).
% 14.81/10.02 tff(12465,plain,
% 14.81/10.02 (v90(constB88, bitIndex2) <=> v129(constB88, bitIndex2)),
% 14.81/10.02 inference(unit_resolution,[status(thm)],[12464, 413, 12461])).
% 14.81/10.02 tff(12466,plain,
% 14.81/10.02 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v129(VarNext, B) <=> v127(VarCurr, B))))) | ((~nextState(constB87, constB88)) | ![B: $i] : ((~less_3(B)) | (v129(constB88, B) <=> v127(constB87, B))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v129(VarNext, B) <=> v127(VarCurr, B))))) | (~nextState(constB87, constB88)) | ![B: $i] : ((~less_3(B)) | (v129(constB88, B) <=> v127(constB87, B))))),
% 14.81/10.02 inference(rewrite,[status(thm)],[])).
% 14.81/10.02 tff(12467,plain,
% 14.81/10.02 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v129(VarNext, B) <=> v127(VarCurr, B))))) | ((~nextState(constB87, constB88)) | ![B: $i] : ((~less_3(B)) | (v129(constB88, B) <=> v127(constB87, B))))),
% 14.81/10.02 inference(quant_inst,[status(thm)],[])).
% 14.81/10.02 tff(12468,plain,
% 14.81/10.02 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v129(VarNext, B) <=> v127(VarCurr, B))))) | (~nextState(constB87, constB88)) | ![B: $i] : ((~less_3(B)) | (v129(constB88, B) <=> v127(constB87, B)))),
% 14.81/10.02 inference(modus_ponens,[status(thm)],[12467, 12466])).
% 14.81/10.02 tff(12469,plain,
% 14.81/10.02 (![B: $i] : ((~less_3(B)) | (v129(constB88, B) <=> v127(constB87, B)))),
% 14.81/10.02 inference(unit_resolution,[status(thm)],[12468, 891, 5156])).
% 14.81/10.02 tff(12470,plain,
% 14.81/10.02 (((~![B: $i] : ((~less_3(B)) | (v129(constB88, B) <=> v127(constB87, B)))) | ((~less_3(bitIndex2)) | (v129(constB88, bitIndex2) <=> v127(constB87, bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v129(constB88, B) <=> v127(constB87, B)))) | (~less_3(bitIndex2)) | (v129(constB88, bitIndex2) <=> v127(constB87, bitIndex2)))),
% 14.81/10.02 inference(rewrite,[status(thm)],[])).
% 14.81/10.02 tff(12471,plain,
% 14.81/10.02 ((~![B: $i] : ((~less_3(B)) | (v129(constB88, B) <=> v127(constB87, B)))) | ((~less_3(bitIndex2)) | (v129(constB88, bitIndex2) <=> v127(constB87, bitIndex2)))),
% 14.81/10.02 inference(quant_inst,[status(thm)],[])).
% 14.81/10.02 tff(12472,plain,
% 14.81/10.02 ((~![B: $i] : ((~less_3(B)) | (v129(constB88, B) <=> v127(constB87, B)))) | (~less_3(bitIndex2)) | (v129(constB88, bitIndex2) <=> v127(constB87, bitIndex2))),
% 14.81/10.02 inference(modus_ponens,[status(thm)],[12471, 12470])).
% 14.81/10.02 tff(12473,plain,
% 14.81/10.02 (v129(constB88, bitIndex2) <=> v127(constB87, bitIndex2)),
% 14.81/10.02 inference(unit_resolution,[status(thm)],[12472, 413, 12469])).
% 14.81/10.02 tff(12474,plain,
% 14.81/10.02 (((~![VarCurr: $i] : (v111(VarCurr) | ![B: $i] : ((~less_3(B)) | (v127(VarCurr, B) <=> v130(VarCurr, B))))) | (v111(constB87) | ![B: $i] : ((~less_3(B)) | (v127(constB87, B) <=> v130(constB87, B))))) <=> ((~![VarCurr: $i] : (v111(VarCurr) | ![B: $i] : ((~less_3(B)) | (v127(VarCurr, B) <=> v130(VarCurr, B))))) | v111(constB87) | ![B: $i] : ((~less_3(B)) | (v127(constB87, B) <=> v130(constB87, B))))),
% 14.81/10.02 inference(rewrite,[status(thm)],[])).
% 14.81/10.02 tff(12475,plain,
% 14.81/10.02 ((~![VarCurr: $i] : (v111(VarCurr) | ![B: $i] : ((~less_3(B)) | (v127(VarCurr, B) <=> v130(VarCurr, B))))) | (v111(constB87) | ![B: $i] : ((~less_3(B)) | (v127(constB87, B) <=> v130(constB87, B))))),
% 14.81/10.02 inference(quant_inst,[status(thm)],[])).
% 14.81/10.02 tff(12476,plain,
% 14.81/10.02 ((~![VarCurr: $i] : (v111(VarCurr) | ![B: $i] : ((~less_3(B)) | (v127(VarCurr, B) <=> v130(VarCurr, B))))) | v111(constB87) | ![B: $i] : ((~less_3(B)) | (v127(constB87, B) <=> v130(constB87, B)))),
% 14.81/10.02 inference(modus_ponens,[status(thm)],[12475, 12474])).
% 14.81/10.02 tff(12477,plain,
% 14.81/10.02 (![B: $i] : ((~less_3(B)) | (v127(constB87, B) <=> v130(constB87, B)))),
% 14.81/10.02 inference(unit_resolution,[status(thm)],[12476, 5177, 12438])).
% 14.81/10.02 tff(12478,plain,
% 14.81/10.02 (((~![B: $i] : ((~less_3(B)) | (v127(constB87, B) <=> v130(constB87, B)))) | ((~less_3(bitIndex2)) | (v127(constB87, bitIndex2) <=> v130(constB87, bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v127(constB87, B) <=> v130(constB87, B)))) | (~less_3(bitIndex2)) | (v127(constB87, bitIndex2) <=> v130(constB87, bitIndex2)))),
% 14.81/10.02 inference(rewrite,[status(thm)],[])).
% 14.81/10.02 tff(12479,plain,
% 14.81/10.02 ((~![B: $i] : ((~less_3(B)) | (v127(constB87, B) <=> v130(constB87, B)))) | ((~less_3(bitIndex2)) | (v127(constB87, bitIndex2) <=> v130(constB87, bitIndex2)))),
% 14.81/10.02 inference(quant_inst,[status(thm)],[])).
% 14.81/10.02 tff(12480,plain,
% 14.81/10.02 ((~![B: $i] : ((~less_3(B)) | (v127(constB87, B) <=> v130(constB87, B)))) | (~less_3(bitIndex2)) | (v127(constB87, bitIndex2) <=> v130(constB87, bitIndex2))),
% 14.81/10.02 inference(modus_ponens,[status(thm)],[12479, 12478])).
% 14.81/10.02 tff(12481,plain,
% 14.81/10.02 (v127(constB87, bitIndex2) <=> v130(constB87, bitIndex2)),
% 14.81/10.02 inference(unit_resolution,[status(thm)],[12480, 413, 12477])).
% 14.81/10.02 tff(12482,plain,
% 14.81/10.02 (((~![VarCurr: $i] : ((~v120(VarCurr)) | ![B: $i] : ((~less_3(B)) | (v130(VarCurr, B) <=> b010(B))))) | ((~v120(constB87)) | ![B: $i] : ((~less_3(B)) | (v130(constB87, B) <=> b010(B))))) <=> ((~![VarCurr: $i] : ((~v120(VarCurr)) | ![B: $i] : ((~less_3(B)) | (v130(VarCurr, B) <=> b010(B))))) | (~v120(constB87)) | ![B: $i] : ((~less_3(B)) | (v130(constB87, B) <=> b010(B))))),
% 14.81/10.02 inference(rewrite,[status(thm)],[])).
% 14.81/10.02 tff(12483,plain,
% 14.81/10.02 ((~![VarCurr: $i] : ((~v120(VarCurr)) | ![B: $i] : ((~less_3(B)) | (v130(VarCurr, B) <=> b010(B))))) | ((~v120(constB87)) | ![B: $i] : ((~less_3(B)) | (v130(constB87, B) <=> b010(B))))),
% 14.81/10.02 inference(quant_inst,[status(thm)],[])).
% 14.81/10.02 tff(12484,plain,
% 14.81/10.02 ((~![VarCurr: $i] : ((~v120(VarCurr)) | ![B: $i] : ((~less_3(B)) | (v130(VarCurr, B) <=> b010(B))))) | (~v120(constB87)) | ![B: $i] : ((~less_3(B)) | (v130(constB87, B) <=> b010(B)))),
% 14.81/10.02 inference(modus_ponens,[status(thm)],[12483, 12482])).
% 14.81/10.02 tff(12485,plain,
% 14.81/10.02 ((~v120(constB87)) | ![B: $i] : ((~less_3(B)) | (v130(constB87, B) <=> b010(B)))),
% 14.81/10.02 inference(unit_resolution,[status(thm)],[12484, 5797])).
% 14.81/10.02 tff(12486,plain,
% 14.81/10.02 (![B: $i] : ((~less_3(B)) | (v130(constB87, B) <=> b010(B)))),
% 14.81/10.02 inference(unit_resolution,[status(thm)],[12485, 12405])).
% 14.81/10.02 tff(12487,plain,
% 14.81/10.02 (((~![B: $i] : ((~less_3(B)) | (v130(constB87, B) <=> b010(B)))) | ((~less_3(bitIndex2)) | (v130(constB87, bitIndex2) <=> b010(bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v130(constB87, B) <=> b010(B)))) | (~less_3(bitIndex2)) | (v130(constB87, bitIndex2) <=> b010(bitIndex2)))),
% 14.81/10.02 inference(rewrite,[status(thm)],[])).
% 14.81/10.02 tff(12488,plain,
% 14.81/10.02 ((~![B: $i] : ((~less_3(B)) | (v130(constB87, B) <=> b010(B)))) | ((~less_3(bitIndex2)) | (v130(constB87, bitIndex2) <=> b010(bitIndex2)))),
% 14.81/10.02 inference(quant_inst,[status(thm)],[])).
% 14.81/10.02 tff(12489,plain,
% 14.81/10.02 ((~![B: $i] : ((~less_3(B)) | (v130(constB87, B) <=> b010(B)))) | (~less_3(bitIndex2)) | (v130(constB87, bitIndex2) <=> b010(bitIndex2))),
% 14.81/10.02 inference(modus_ponens,[status(thm)],[12488, 12487])).
% 14.81/10.02 tff(12490,plain,
% 14.81/10.02 (v130(constB87, bitIndex2) <=> b010(bitIndex2)),
% 14.81/10.02 inference(unit_resolution,[status(thm)],[12489, 413, 12486])).
% 14.81/10.02 tff(12491,plain,
% 14.81/10.02 ((~(v130(constB87, bitIndex2) <=> b010(bitIndex2))) | (~v130(constB87, bitIndex2)) | b010(bitIndex2)),
% 14.81/10.02 inference(tautology,[status(thm)],[])).
% 14.81/10.02 tff(12492,plain,
% 14.81/10.02 ((~(v130(constB87, bitIndex2) <=> b010(bitIndex2))) | (~v130(constB87, bitIndex2))),
% 14.81/10.02 inference(unit_resolution,[status(thm)],[12491, 5809])).
% 14.81/10.02 tff(12493,plain,
% 14.81/10.02 (~v130(constB87, bitIndex2)),
% 14.81/10.02 inference(unit_resolution,[status(thm)],[12492, 12490])).
% 14.81/10.03 tff(12494,plain,
% 14.81/10.03 ((~(v127(constB87, bitIndex2) <=> v130(constB87, bitIndex2))) | (~v127(constB87, bitIndex2)) | v130(constB87, bitIndex2)),
% 14.81/10.03 inference(tautology,[status(thm)],[])).
% 14.81/10.03 tff(12495,plain,
% 14.81/10.03 (~v127(constB87, bitIndex2)),
% 14.81/10.03 inference(unit_resolution,[status(thm)],[12494, 12493, 12481])).
% 14.81/10.03 tff(12496,plain,
% 14.81/10.03 ((~(v129(constB88, bitIndex2) <=> v127(constB87, bitIndex2))) | (~v129(constB88, bitIndex2)) | v127(constB87, bitIndex2)),
% 14.81/10.03 inference(tautology,[status(thm)],[])).
% 14.81/10.03 tff(12497,plain,
% 14.81/10.03 (~v129(constB88, bitIndex2)),
% 14.81/10.03 inference(unit_resolution,[status(thm)],[12496, 12495, 12473])).
% 14.81/10.03 tff(12498,plain,
% 14.81/10.03 ((~(v90(constB88, bitIndex2) <=> v129(constB88, bitIndex2))) | (~v90(constB88, bitIndex2)) | v129(constB88, bitIndex2)),
% 14.81/10.03 inference(tautology,[status(thm)],[])).
% 14.81/10.03 tff(12499,plain,
% 14.81/10.03 (~v90(constB88, bitIndex2)),
% 14.81/10.03 inference(unit_resolution,[status(thm)],[12498, 12497, 12465])).
% 14.81/10.03 tff(12500,plain,
% 14.81/10.03 ((~(v90(constB89, bitIndex2) <=> v90(constB88, bitIndex2))) | (~v90(constB89, bitIndex2)) | v90(constB88, bitIndex2)),
% 14.81/10.03 inference(tautology,[status(thm)],[])).
% 14.81/10.03 tff(12501,plain,
% 14.81/10.03 (~v90(constB89, bitIndex2)),
% 14.81/10.03 inference(unit_resolution,[status(thm)],[12500, 12499, 888])).
% 14.81/10.03 tff(12502,plain,
% 14.81/10.03 (((~![B: $i] : ((~less_3(B)) | (v90(constB89, B) <=> v90(constB88, B)))) | ((~less_3(bitIndex0)) | (v90(constB89, bitIndex0) <=> v90(constB88, bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v90(constB89, B) <=> v90(constB88, B)))) | (~less_3(bitIndex0)) | (v90(constB89, bitIndex0) <=> v90(constB88, bitIndex0)))),
% 14.81/10.03 inference(rewrite,[status(thm)],[])).
% 14.81/10.03 tff(12503,plain,
% 14.81/10.03 ((~![B: $i] : ((~less_3(B)) | (v90(constB89, B) <=> v90(constB88, B)))) | ((~less_3(bitIndex0)) | (v90(constB89, bitIndex0) <=> v90(constB88, bitIndex0)))),
% 14.81/10.03 inference(quant_inst,[status(thm)],[])).
% 14.81/10.03 tff(12504,plain,
% 14.81/10.03 ((~![B: $i] : ((~less_3(B)) | (v90(constB89, B) <=> v90(constB88, B)))) | (~less_3(bitIndex0)) | (v90(constB89, bitIndex0) <=> v90(constB88, bitIndex0))),
% 14.81/10.03 inference(modus_ponens,[status(thm)],[12503, 12502])).
% 14.81/10.03 tff(12505,plain,
% 14.81/10.03 (v90(constB89, bitIndex0) <=> v90(constB88, bitIndex0)),
% 14.81/10.03 inference(unit_resolution,[status(thm)],[12504, 5004, 884])).
% 14.81/10.03 tff(12506,plain,
% 14.81/10.03 (((~![B: $i] : ((~less_3(B)) | (v90(constB88, B) <=> v129(constB88, B)))) | ((~less_3(bitIndex0)) | (v90(constB88, bitIndex0) <=> v129(constB88, bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v90(constB88, B) <=> v129(constB88, B)))) | (~less_3(bitIndex0)) | (v90(constB88, bitIndex0) <=> v129(constB88, bitIndex0)))),
% 14.81/10.03 inference(rewrite,[status(thm)],[])).
% 14.81/10.03 tff(12507,plain,
% 14.81/10.03 ((~![B: $i] : ((~less_3(B)) | (v90(constB88, B) <=> v129(constB88, B)))) | ((~less_3(bitIndex0)) | (v90(constB88, bitIndex0) <=> v129(constB88, bitIndex0)))),
% 14.81/10.03 inference(quant_inst,[status(thm)],[])).
% 14.81/10.03 tff(12508,plain,
% 14.81/10.03 ((~![B: $i] : ((~less_3(B)) | (v90(constB88, B) <=> v129(constB88, B)))) | (~less_3(bitIndex0)) | (v90(constB88, bitIndex0) <=> v129(constB88, bitIndex0))),
% 14.81/10.03 inference(modus_ponens,[status(thm)],[12507, 12506])).
% 14.81/10.03 tff(12509,plain,
% 14.81/10.03 (v90(constB88, bitIndex0) <=> v129(constB88, bitIndex0)),
% 14.81/10.03 inference(unit_resolution,[status(thm)],[12508, 5004, 12461])).
% 14.81/10.03 tff(12510,plain,
% 14.81/10.03 (((~![B: $i] : ((~less_3(B)) | (v129(constB88, B) <=> v127(constB87, B)))) | ((~less_3(bitIndex0)) | (v129(constB88, bitIndex0) <=> v127(constB87, bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v129(constB88, B) <=> v127(constB87, B)))) | (~less_3(bitIndex0)) | (v129(constB88, bitIndex0) <=> v127(constB87, bitIndex0)))),
% 14.81/10.03 inference(rewrite,[status(thm)],[])).
% 14.81/10.03 tff(12511,plain,
% 14.81/10.03 ((~![B: $i] : ((~less_3(B)) | (v129(constB88, B) <=> v127(constB87, B)))) | ((~less_3(bitIndex0)) | (v129(constB88, bitIndex0) <=> v127(constB87, bitIndex0)))),
% 14.81/10.03 inference(quant_inst,[status(thm)],[])).
% 14.81/10.03 tff(12512,plain,
% 14.81/10.03 ((~![B: $i] : ((~less_3(B)) | (v129(constB88, B) <=> v127(constB87, B)))) | (~less_3(bitIndex0)) | (v129(constB88, bitIndex0) <=> v127(constB87, bitIndex0))),
% 14.81/10.03 inference(modus_ponens,[status(thm)],[12511, 12510])).
% 14.81/10.03 tff(12513,plain,
% 14.81/10.03 (v129(constB88, bitIndex0) <=> v127(constB87, bitIndex0)),
% 14.81/10.03 inference(unit_resolution,[status(thm)],[12512, 5004, 12469])).
% 14.81/10.03 tff(12514,plain,
% 14.81/10.03 (((~![B: $i] : ((~less_3(B)) | (v127(constB87, B) <=> v130(constB87, B)))) | ((~less_3(bitIndex0)) | (v127(constB87, bitIndex0) <=> v130(constB87, bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v127(constB87, B) <=> v130(constB87, B)))) | (~less_3(bitIndex0)) | (v127(constB87, bitIndex0) <=> v130(constB87, bitIndex0)))),
% 14.81/10.03 inference(rewrite,[status(thm)],[])).
% 14.81/10.03 tff(12515,plain,
% 14.81/10.03 ((~![B: $i] : ((~less_3(B)) | (v127(constB87, B) <=> v130(constB87, B)))) | ((~less_3(bitIndex0)) | (v127(constB87, bitIndex0) <=> v130(constB87, bitIndex0)))),
% 14.81/10.03 inference(quant_inst,[status(thm)],[])).
% 14.81/10.03 tff(12516,plain,
% 14.81/10.03 ((~![B: $i] : ((~less_3(B)) | (v127(constB87, B) <=> v130(constB87, B)))) | (~less_3(bitIndex0)) | (v127(constB87, bitIndex0) <=> v130(constB87, bitIndex0))),
% 14.81/10.03 inference(modus_ponens,[status(thm)],[12515, 12514])).
% 14.81/10.03 tff(12517,plain,
% 14.81/10.03 (v127(constB87, bitIndex0) <=> v130(constB87, bitIndex0)),
% 14.81/10.03 inference(unit_resolution,[status(thm)],[12516, 5004, 12477])).
% 14.81/10.03 tff(12518,plain,
% 14.81/10.03 (((~![B: $i] : ((~less_3(B)) | (v130(constB87, B) <=> b010(B)))) | ((~less_3(bitIndex0)) | (v130(constB87, bitIndex0) <=> b010(bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v130(constB87, B) <=> b010(B)))) | (~less_3(bitIndex0)) | (v130(constB87, bitIndex0) <=> b010(bitIndex0)))),
% 14.81/10.03 inference(rewrite,[status(thm)],[])).
% 14.81/10.03 tff(12519,plain,
% 14.81/10.03 ((~![B: $i] : ((~less_3(B)) | (v130(constB87, B) <=> b010(B)))) | ((~less_3(bitIndex0)) | (v130(constB87, bitIndex0) <=> b010(bitIndex0)))),
% 14.81/10.03 inference(quant_inst,[status(thm)],[])).
% 14.81/10.03 tff(12520,plain,
% 14.81/10.03 ((~![B: $i] : ((~less_3(B)) | (v130(constB87, B) <=> b010(B)))) | (~less_3(bitIndex0)) | (v130(constB87, bitIndex0) <=> b010(bitIndex0))),
% 14.81/10.03 inference(modus_ponens,[status(thm)],[12519, 12518])).
% 14.81/10.03 tff(12521,plain,
% 14.81/10.03 (v130(constB87, bitIndex0) <=> b010(bitIndex0)),
% 14.81/10.03 inference(unit_resolution,[status(thm)],[12520, 5004, 12486])).
% 14.81/10.03 tff(12522,plain,
% 14.81/10.03 ((~(v130(constB87, bitIndex0) <=> b010(bitIndex0))) | (~v130(constB87, bitIndex0)) | b010(bitIndex0)),
% 14.81/10.03 inference(tautology,[status(thm)],[])).
% 14.81/10.03 tff(12523,plain,
% 14.81/10.03 ((~(v130(constB87, bitIndex0) <=> b010(bitIndex0))) | (~v130(constB87, bitIndex0))),
% 14.81/10.03 inference(unit_resolution,[status(thm)],[12522, 5843])).
% 14.81/10.03 tff(12524,plain,
% 14.81/10.03 (~v130(constB87, bitIndex0)),
% 14.81/10.03 inference(unit_resolution,[status(thm)],[12523, 12521])).
% 14.81/10.03 tff(12525,plain,
% 14.81/10.03 ((~(v127(constB87, bitIndex0) <=> v130(constB87, bitIndex0))) | (~v127(constB87, bitIndex0)) | v130(constB87, bitIndex0)),
% 14.81/10.03 inference(tautology,[status(thm)],[])).
% 14.81/10.03 tff(12526,plain,
% 14.81/10.03 (~v127(constB87, bitIndex0)),
% 14.81/10.03 inference(unit_resolution,[status(thm)],[12525, 12524, 12517])).
% 14.81/10.03 tff(12527,plain,
% 14.81/10.03 ((~(v129(constB88, bitIndex0) <=> v127(constB87, bitIndex0))) | (~v129(constB88, bitIndex0)) | v127(constB87, bitIndex0)),
% 14.81/10.03 inference(tautology,[status(thm)],[])).
% 14.81/10.03 tff(12528,plain,
% 14.81/10.03 (~v129(constB88, bitIndex0)),
% 14.81/10.03 inference(unit_resolution,[status(thm)],[12527, 12526, 12513])).
% 14.81/10.03 tff(12529,plain,
% 14.81/10.03 ((~(v90(constB88, bitIndex0) <=> v129(constB88, bitIndex0))) | (~v90(constB88, bitIndex0)) | v129(constB88, bitIndex0)),
% 14.81/10.03 inference(tautology,[status(thm)],[])).
% 14.81/10.03 tff(12530,plain,
% 14.81/10.03 (~v90(constB88, bitIndex0)),
% 14.81/10.03 inference(unit_resolution,[status(thm)],[12529, 12528, 12509])).
% 14.81/10.03 tff(12531,plain,
% 14.81/10.03 ((~(v90(constB89, bitIndex0) <=> v90(constB88, bitIndex0))) | (~v90(constB89, bitIndex0)) | v90(constB88, bitIndex0)),
% 14.81/10.03 inference(tautology,[status(thm)],[])).
% 14.81/10.03 tff(12532,plain,
% 14.81/10.03 (~v90(constB89, bitIndex0)),
% 14.81/10.03 inference(unit_resolution,[status(thm)],[12531, 12530, 12505])).
% 14.81/10.03 tff(12533,plain,
% 14.81/10.03 (((~![B: $i] : ((~less_3(B)) | (v90(constB89, B) <=> v90(constB88, B)))) | ((~less_3(bitIndex1)) | (v90(constB89, bitIndex1) <=> v90(constB88, bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v90(constB89, B) <=> v90(constB88, B)))) | (~less_3(bitIndex1)) | (v90(constB89, bitIndex1) <=> v90(constB88, bitIndex1)))),
% 14.81/10.03 inference(rewrite,[status(thm)],[])).
% 14.81/10.03 tff(12534,plain,
% 14.81/10.03 ((~![B: $i] : ((~less_3(B)) | (v90(constB89, B) <=> v90(constB88, B)))) | ((~less_3(bitIndex1)) | (v90(constB89, bitIndex1) <=> v90(constB88, bitIndex1)))),
% 14.81/10.03 inference(quant_inst,[status(thm)],[])).
% 14.81/10.03 tff(12535,plain,
% 14.81/10.03 ((~![B: $i] : ((~less_3(B)) | (v90(constB89, B) <=> v90(constB88, B)))) | (~less_3(bitIndex1)) | (v90(constB89, bitIndex1) <=> v90(constB88, bitIndex1))),
% 14.81/10.03 inference(modus_ponens,[status(thm)],[12534, 12533])).
% 14.81/10.03 tff(12536,plain,
% 14.81/10.03 (v90(constB89, bitIndex1) <=> v90(constB88, bitIndex1)),
% 14.81/10.03 inference(unit_resolution,[status(thm)],[12535, 5017, 884])).
% 14.81/10.03 tff(12537,plain,
% 14.81/10.03 (((~![B: $i] : ((~less_3(B)) | (v90(constB88, B) <=> v129(constB88, B)))) | ((~less_3(bitIndex1)) | (v90(constB88, bitIndex1) <=> v129(constB88, bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v90(constB88, B) <=> v129(constB88, B)))) | (~less_3(bitIndex1)) | (v90(constB88, bitIndex1) <=> v129(constB88, bitIndex1)))),
% 14.81/10.03 inference(rewrite,[status(thm)],[])).
% 14.81/10.03 tff(12538,plain,
% 14.81/10.03 ((~![B: $i] : ((~less_3(B)) | (v90(constB88, B) <=> v129(constB88, B)))) | ((~less_3(bitIndex1)) | (v90(constB88, bitIndex1) <=> v129(constB88, bitIndex1)))),
% 14.81/10.03 inference(quant_inst,[status(thm)],[])).
% 14.81/10.03 tff(12539,plain,
% 14.81/10.03 ((~![B: $i] : ((~less_3(B)) | (v90(constB88, B) <=> v129(constB88, B)))) | (~less_3(bitIndex1)) | (v90(constB88, bitIndex1) <=> v129(constB88, bitIndex1))),
% 14.81/10.03 inference(modus_ponens,[status(thm)],[12538, 12537])).
% 14.81/10.03 tff(12540,plain,
% 14.81/10.03 (v90(constB88, bitIndex1) <=> v129(constB88, bitIndex1)),
% 14.81/10.03 inference(unit_resolution,[status(thm)],[12539, 5017, 12461])).
% 14.81/10.03 tff(12541,plain,
% 14.81/10.03 (((~![B: $i] : ((~less_3(B)) | (v129(constB88, B) <=> v127(constB87, B)))) | ((~less_3(bitIndex1)) | (v129(constB88, bitIndex1) <=> v127(constB87, bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v129(constB88, B) <=> v127(constB87, B)))) | (~less_3(bitIndex1)) | (v129(constB88, bitIndex1) <=> v127(constB87, bitIndex1)))),
% 14.81/10.03 inference(rewrite,[status(thm)],[])).
% 14.81/10.03 tff(12542,plain,
% 14.81/10.03 ((~![B: $i] : ((~less_3(B)) | (v129(constB88, B) <=> v127(constB87, B)))) | ((~less_3(bitIndex1)) | (v129(constB88, bitIndex1) <=> v127(constB87, bitIndex1)))),
% 14.81/10.03 inference(quant_inst,[status(thm)],[])).
% 14.81/10.03 tff(12543,plain,
% 14.81/10.03 ((~![B: $i] : ((~less_3(B)) | (v129(constB88, B) <=> v127(constB87, B)))) | (~less_3(bitIndex1)) | (v129(constB88, bitIndex1) <=> v127(constB87, bitIndex1))),
% 14.81/10.03 inference(modus_ponens,[status(thm)],[12542, 12541])).
% 14.81/10.03 tff(12544,plain,
% 14.81/10.03 (v129(constB88, bitIndex1) <=> v127(constB87, bitIndex1)),
% 14.81/10.03 inference(unit_resolution,[status(thm)],[12543, 5017, 12469])).
% 14.81/10.03 tff(12545,plain,
% 14.81/10.03 (((~![B: $i] : ((~less_3(B)) | (v127(constB87, B) <=> v130(constB87, B)))) | ((~less_3(bitIndex1)) | (v127(constB87, bitIndex1) <=> v130(constB87, bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v127(constB87, B) <=> v130(constB87, B)))) | (~less_3(bitIndex1)) | (v127(constB87, bitIndex1) <=> v130(constB87, bitIndex1)))),
% 14.81/10.03 inference(rewrite,[status(thm)],[])).
% 14.81/10.03 tff(12546,plain,
% 14.81/10.03 ((~![B: $i] : ((~less_3(B)) | (v127(constB87, B) <=> v130(constB87, B)))) | ((~less_3(bitIndex1)) | (v127(constB87, bitIndex1) <=> v130(constB87, bitIndex1)))),
% 14.81/10.03 inference(quant_inst,[status(thm)],[])).
% 14.81/10.03 tff(12547,plain,
% 14.81/10.03 ((~![B: $i] : ((~less_3(B)) | (v127(constB87, B) <=> v130(constB87, B)))) | (~less_3(bitIndex1)) | (v127(constB87, bitIndex1) <=> v130(constB87, bitIndex1))),
% 14.81/10.03 inference(modus_ponens,[status(thm)],[12546, 12545])).
% 14.81/10.03 tff(12548,plain,
% 14.81/10.03 (v127(constB87, bitIndex1) <=> v130(constB87, bitIndex1)),
% 14.81/10.03 inference(unit_resolution,[status(thm)],[12547, 5017, 12477])).
% 14.81/10.03 tff(12549,plain,
% 14.81/10.03 (((~![B: $i] : ((~less_3(B)) | (v130(constB87, B) <=> b010(B)))) | ((~less_3(bitIndex1)) | (v130(constB87, bitIndex1) <=> b010(bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v130(constB87, B) <=> b010(B)))) | (~less_3(bitIndex1)) | (v130(constB87, bitIndex1) <=> b010(bitIndex1)))),
% 14.81/10.03 inference(rewrite,[status(thm)],[])).
% 14.81/10.03 tff(12550,plain,
% 14.81/10.03 ((~![B: $i] : ((~less_3(B)) | (v130(constB87, B) <=> b010(B)))) | ((~less_3(bitIndex1)) | (v130(constB87, bitIndex1) <=> b010(bitIndex1)))),
% 14.81/10.03 inference(quant_inst,[status(thm)],[])).
% 14.81/10.03 tff(12551,plain,
% 14.81/10.03 ((~![B: $i] : ((~less_3(B)) | (v130(constB87, B) <=> b010(B)))) | (~less_3(bitIndex1)) | (v130(constB87, bitIndex1) <=> b010(bitIndex1))),
% 14.81/10.03 inference(modus_ponens,[status(thm)],[12550, 12549])).
% 14.81/10.03 tff(12552,plain,
% 14.81/10.03 (v130(constB87, bitIndex1) <=> b010(bitIndex1)),
% 14.81/10.03 inference(unit_resolution,[status(thm)],[12551, 5017, 12486])).
% 14.81/10.03 tff(12553,plain,
% 14.81/10.03 ((~(v130(constB87, bitIndex1) <=> b010(bitIndex1))) | v130(constB87, bitIndex1) | (~b010(bitIndex1))),
% 14.81/10.03 inference(tautology,[status(thm)],[])).
% 14.81/10.03 tff(12554,plain,
% 14.81/10.03 ((~(v130(constB87, bitIndex1) <=> b010(bitIndex1))) | v130(constB87, bitIndex1)),
% 14.81/10.03 inference(unit_resolution,[status(thm)],[12553, 5877])).
% 14.81/10.03 tff(12555,plain,
% 14.81/10.03 (v130(constB87, bitIndex1)),
% 14.81/10.03 inference(unit_resolution,[status(thm)],[12554, 12552])).
% 14.81/10.03 tff(12556,plain,
% 14.81/10.03 ((~(v127(constB87, bitIndex1) <=> v130(constB87, bitIndex1))) | v127(constB87, bitIndex1) | (~v130(constB87, bitIndex1))),
% 14.81/10.03 inference(tautology,[status(thm)],[])).
% 14.81/10.03 tff(12557,plain,
% 14.81/10.03 (v127(constB87, bitIndex1)),
% 14.81/10.03 inference(unit_resolution,[status(thm)],[12556, 12555, 12548])).
% 14.81/10.03 tff(12558,plain,
% 14.81/10.03 ((~(v129(constB88, bitIndex1) <=> v127(constB87, bitIndex1))) | v129(constB88, bitIndex1) | (~v127(constB87, bitIndex1))),
% 14.81/10.03 inference(tautology,[status(thm)],[])).
% 14.81/10.03 tff(12559,plain,
% 14.81/10.03 (v129(constB88, bitIndex1)),
% 14.81/10.03 inference(unit_resolution,[status(thm)],[12558, 12557, 12544])).
% 14.81/10.03 tff(12560,plain,
% 14.81/10.03 ((~(v90(constB88, bitIndex1) <=> v129(constB88, bitIndex1))) | v90(constB88, bitIndex1) | (~v129(constB88, bitIndex1))),
% 14.81/10.03 inference(tautology,[status(thm)],[])).
% 14.81/10.03 tff(12561,plain,
% 14.81/10.03 (v90(constB88, bitIndex1)),
% 14.81/10.03 inference(unit_resolution,[status(thm)],[12560, 12559, 12540])).
% 14.81/10.03 tff(12562,plain,
% 14.81/10.03 ((~(v90(constB89, bitIndex1) <=> v90(constB88, bitIndex1))) | v90(constB89, bitIndex1) | (~v90(constB88, bitIndex1))),
% 14.81/10.03 inference(tautology,[status(thm)],[])).
% 14.81/10.03 tff(12563,plain,
% 14.81/10.03 (v90(constB89, bitIndex1)),
% 14.81/10.03 inference(unit_resolution,[status(thm)],[12562, 12561, 12536])).
% 14.81/10.03 tff(12564,plain,
% 14.81/10.03 ((~(v90(constB89, bitIndex2) | (~v90(constB89, bitIndex1)) | v90(constB89, bitIndex0))) | v90(constB89, bitIndex2) | (~v90(constB89, bitIndex1)) | v90(constB89, bitIndex0)),
% 14.81/10.03 inference(tautology,[status(thm)],[])).
% 14.81/10.03 tff(12565,plain,
% 14.81/10.03 (~(v90(constB89, bitIndex2) | (~v90(constB89, bitIndex1)) | v90(constB89, bitIndex0))),
% 14.81/10.03 inference(unit_resolution,[status(thm)],[12564, 12563, 12532, 12501])).
% 14.81/10.03 tff(12566,plain,
% 14.81/10.03 ((~(v121(constB89) <=> (~(v90(constB89, bitIndex2) | (~v90(constB89, bitIndex1)) | v90(constB89, bitIndex0))))) | v121(constB89) | (v90(constB89, bitIndex2) | (~v90(constB89, bitIndex1)) | v90(constB89, bitIndex0))),
% 14.81/10.03 inference(tautology,[status(thm)],[])).
% 14.81/10.03 tff(12567,plain,
% 14.81/10.03 (v121(constB89)),
% 14.81/10.03 inference(unit_resolution,[status(thm)],[12566, 12565, 856])).
% 14.81/10.03 tff(12568,plain,
% 14.81/10.03 ((v118(constB89) | v121(constB89)) | (~v121(constB89))),
% 14.81/10.03 inference(tautology,[status(thm)],[])).
% 14.81/10.03 tff(12569,plain,
% 14.81/10.03 (v118(constB89) | v121(constB89)),
% 14.81/10.03 inference(unit_resolution,[status(thm)],[12568, 12567])).
% 14.81/10.03 tff(12570,plain,
% 14.81/10.03 ((~(v117(constB89) <=> (v118(constB89) | v121(constB89)))) | v117(constB89) | (~(v118(constB89) | v121(constB89)))),
% 14.81/10.03 inference(tautology,[status(thm)],[])).
% 14.81/10.03 tff(12571,plain,
% 14.81/10.03 (v117(constB89)),
% 14.81/10.03 inference(unit_resolution,[status(thm)],[12570, 12569, 836])).
% 14.81/10.03 tff(12572,plain,
% 14.81/10.03 ((v117(constB89) | v122(constB89)) | (~v117(constB89))),
% 14.81/10.03 inference(tautology,[status(thm)],[])).
% 14.81/10.03 tff(12573,plain,
% 14.81/10.03 (v117(constB89) | v122(constB89)),
% 14.81/10.03 inference(unit_resolution,[status(thm)],[12572, 12571])).
% 14.81/10.03 tff(12574,plain,
% 14.81/10.03 ((~(v116(constB89) <=> (v117(constB89) | v122(constB89)))) | v116(constB89) | (~(v117(constB89) | v122(constB89)))),
% 14.81/10.03 inference(tautology,[status(thm)],[])).
% 14.81/10.03 tff(12575,plain,
% 14.81/10.03 (v116(constB89)),
% 14.81/10.03 inference(unit_resolution,[status(thm)],[12574, 12573, 827])).
% 14.81/10.03 tff(12576,plain,
% 14.81/10.03 ((v116(constB89) | v123(constB89)) | (~v116(constB89))),
% 14.81/10.03 inference(tautology,[status(thm)],[])).
% 14.81/10.03 tff(12577,plain,
% 14.81/10.04 (v116(constB89) | v123(constB89)),
% 14.81/10.04 inference(unit_resolution,[status(thm)],[12576, 12575])).
% 14.81/10.04 tff(12578,plain,
% 14.81/10.04 ((~(v115(constB89) <=> (v116(constB89) | v123(constB89)))) | v115(constB89) | (~(v116(constB89) | v123(constB89)))),
% 14.81/10.04 inference(tautology,[status(thm)],[])).
% 14.81/10.04 tff(12579,plain,
% 14.81/10.04 (v115(constB89)),
% 14.81/10.04 inference(unit_resolution,[status(thm)],[12578, 12577, 825])).
% 14.81/10.04 tff(12580,plain,
% 14.81/10.04 ((v115(constB89) | v124(constB89)) | (~v115(constB89))),
% 14.81/10.04 inference(tautology,[status(thm)],[])).
% 14.81/10.04 tff(12581,plain,
% 14.81/10.04 (v115(constB89) | v124(constB89)),
% 14.81/10.04 inference(unit_resolution,[status(thm)],[12580, 12579])).
% 14.81/10.04 tff(12582,plain,
% 14.81/10.04 ((~(v114(constB89) <=> (v115(constB89) | v124(constB89)))) | v114(constB89) | (~(v115(constB89) | v124(constB89)))),
% 14.81/10.04 inference(tautology,[status(thm)],[])).
% 14.81/10.04 tff(12583,plain,
% 14.81/10.04 (v114(constB89)),
% 14.81/10.04 inference(unit_resolution,[status(thm)],[12582, 12581, 823])).
% 14.81/10.04 tff(12584,plain,
% 14.81/10.04 ((v114(constB89) | v125(constB89)) | (~v114(constB89))),
% 14.81/10.04 inference(tautology,[status(thm)],[])).
% 14.81/10.04 tff(12585,plain,
% 14.81/10.04 (v114(constB89) | v125(constB89)),
% 14.81/10.04 inference(unit_resolution,[status(thm)],[12584, 12583])).
% 14.81/10.04 tff(12586,plain,
% 14.81/10.04 ((~(v113(constB89) <=> (v114(constB89) | v125(constB89)))) | v113(constB89) | (~(v114(constB89) | v125(constB89)))),
% 14.81/10.04 inference(tautology,[status(thm)],[])).
% 14.81/10.04 tff(12587,plain,
% 14.81/10.04 (v113(constB89)),
% 14.81/10.04 inference(unit_resolution,[status(thm)],[12586, 12585, 821])).
% 14.81/10.04 tff(12588,plain,
% 14.81/10.04 ((~![VarCurr: $i] : ((~v126(VarCurr)) <=> v111(VarCurr))) | ((~v126(constB89)) <=> v111(constB89))),
% 14.81/10.04 inference(quant_inst,[status(thm)],[])).
% 14.81/10.04 tff(12589,plain,
% 14.81/10.04 ((~v126(constB89)) <=> v111(constB89)),
% 14.81/10.04 inference(unit_resolution,[status(thm)],[12588, 5074])).
% 14.81/10.04 tff(12590,plain,
% 14.81/10.04 ((~![VarCurr: $i] : (v111(VarCurr) <=> v26(VarCurr))) | (v111(constB89) <=> v26(constB89))),
% 14.81/10.04 inference(quant_inst,[status(thm)],[])).
% 14.81/10.04 tff(12591,plain,
% 14.81/10.04 (v111(constB89) <=> v26(constB89)),
% 14.81/10.04 inference(unit_resolution,[status(thm)],[12590, 5086])).
% 14.81/10.04 tff(12592,plain,
% 14.81/10.04 ((~![VarCurr: $i] : (~v26(VarCurr))) | (~v26(constB89))),
% 14.81/10.04 inference(quant_inst,[status(thm)],[])).
% 14.81/10.04 tff(12593,plain,
% 14.81/10.04 (~v26(constB89)),
% 14.81/10.04 inference(unit_resolution,[status(thm)],[12592, 5098])).
% 14.81/10.04 tff(12594,plain,
% 14.81/10.04 ((~(v111(constB89) <=> v26(constB89))) | (~v111(constB89)) | v26(constB89)),
% 14.81/10.04 inference(tautology,[status(thm)],[])).
% 14.81/10.04 tff(12595,plain,
% 14.81/10.04 ((~(v111(constB89) <=> v26(constB89))) | (~v111(constB89))),
% 14.81/10.04 inference(unit_resolution,[status(thm)],[12594, 12593])).
% 14.81/10.04 tff(12596,plain,
% 14.81/10.04 (~v111(constB89)),
% 14.81/10.04 inference(unit_resolution,[status(thm)],[12595, 12591])).
% 14.81/10.04 tff(12597,plain,
% 14.81/10.04 ((~((~v126(constB89)) <=> v111(constB89))) | v126(constB89) | v111(constB89)),
% 14.81/10.04 inference(tautology,[status(thm)],[])).
% 14.81/10.04 tff(12598,plain,
% 14.81/10.04 ((~((~v126(constB89)) <=> v111(constB89))) | v126(constB89)),
% 14.81/10.04 inference(unit_resolution,[status(thm)],[12597, 12596])).
% 14.81/10.04 tff(12599,plain,
% 14.81/10.04 (v126(constB89)),
% 14.81/10.04 inference(unit_resolution,[status(thm)],[12598, 12589])).
% 14.81/10.04 tff(12600,plain,
% 14.81/10.04 ((~((~v113(constB89)) | (~v126(constB89)))) | (~v113(constB89)) | (~v126(constB89))),
% 14.81/10.04 inference(tautology,[status(thm)],[])).
% 14.81/10.04 tff(12601,plain,
% 14.81/10.04 ((~((~v113(constB89)) | (~v126(constB89)))) | (~v113(constB89))),
% 14.81/10.04 inference(unit_resolution,[status(thm)],[12600, 12599])).
% 14.81/10.04 tff(12602,plain,
% 14.81/10.04 (~((~v113(constB89)) | (~v126(constB89)))),
% 14.81/10.04 inference(unit_resolution,[status(thm)],[12601, 12587])).
% 14.81/10.04 tff(12603,plain,
% 14.81/10.04 ((~(v112(constB89) <=> (~((~v113(constB89)) | (~v126(constB89)))))) | v112(constB89) | ((~v113(constB89)) | (~v126(constB89)))),
% 14.81/10.04 inference(tautology,[status(thm)],[])).
% 14.81/10.04 tff(12604,plain,
% 14.81/10.04 (v112(constB89)),
% 14.81/10.04 inference(unit_resolution,[status(thm)],[12603, 12602, 819])).
% 14.81/10.04 tff(12605,plain,
% 14.81/10.04 ((v111(constB89) | v112(constB89)) | (~v112(constB89))),
% 14.81/10.04 inference(tautology,[status(thm)],[])).
% 14.81/10.04 tff(12606,plain,
% 14.81/10.04 (v111(constB89) | v112(constB89)),
% 14.81/10.04 inference(unit_resolution,[status(thm)],[12605, 12604])).
% 14.81/10.04 tff(12607,plain,
% 14.81/10.04 ((~(v108(constB89) <=> (v111(constB89) | v112(constB89)))) | v108(constB89) | (~(v111(constB89) | v112(constB89)))),
% 14.81/10.04 inference(tautology,[status(thm)],[])).
% 14.81/10.04 tff(12608,plain,
% 14.81/10.04 (v108(constB89)),
% 14.81/10.04 inference(unit_resolution,[status(thm)],[12607, 12606, 817])).
% 14.81/10.04 tff(12609,plain,
% 14.81/10.04 ((~(v110(constB90) <=> v108(constB89))) | v110(constB90) | (~v108(constB89))),
% 14.81/10.04 inference(tautology,[status(thm)],[])).
% 14.81/10.04 tff(12610,plain,
% 14.81/10.04 (v110(constB90)),
% 14.81/10.04 inference(unit_resolution,[status(thm)],[12609, 12608, 815])).
% 14.81/10.04 tff(12611,plain,
% 14.81/10.04 ((~((~v101(constB90)) | (~v110(constB90)))) | (~v101(constB90)) | (~v110(constB90))),
% 14.81/10.04 inference(tautology,[status(thm)],[])).
% 14.81/10.04 tff(12612,plain,
% 14.81/10.04 (~((~v101(constB90)) | (~v110(constB90)))),
% 14.81/10.04 inference(unit_resolution,[status(thm)],[12611, 12610, 811])).
% 14.81/10.04 tff(12613,plain,
% 14.81/10.04 ((~(v100(constB90) <=> (~((~v101(constB90)) | (~v110(constB90)))))) | v100(constB90) | ((~v101(constB90)) | (~v110(constB90)))),
% 14.81/10.04 inference(tautology,[status(thm)],[])).
% 14.81/10.04 tff(12614,plain,
% 14.81/10.04 (v100(constB90)),
% 14.81/10.04 inference(unit_resolution,[status(thm)],[12613, 12612, 780])).
% 14.81/10.04 tff(12615,plain,
% 14.81/10.04 (((~![VarNext: $i] : ((~v100(VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v129(VarNext, B))))) | ((~v100(constB90)) | ![B: $i] : ((~less_3(B)) | (v90(constB90, B) <=> v129(constB90, B))))) <=> ((~![VarNext: $i] : ((~v100(VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v129(VarNext, B))))) | (~v100(constB90)) | ![B: $i] : ((~less_3(B)) | (v90(constB90, B) <=> v129(constB90, B))))),
% 14.81/10.04 inference(rewrite,[status(thm)],[])).
% 14.81/10.04 tff(12616,plain,
% 14.81/10.04 ((~![VarNext: $i] : ((~v100(VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v129(VarNext, B))))) | ((~v100(constB90)) | ![B: $i] : ((~less_3(B)) | (v90(constB90, B) <=> v129(constB90, B))))),
% 14.81/10.04 inference(quant_inst,[status(thm)],[])).
% 14.81/10.04 tff(12617,plain,
% 14.81/10.04 ((~![VarNext: $i] : ((~v100(VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v129(VarNext, B))))) | (~v100(constB90)) | ![B: $i] : ((~less_3(B)) | (v90(constB90, B) <=> v129(constB90, B)))),
% 14.81/10.04 inference(modus_ponens,[status(thm)],[12616, 12615])).
% 14.81/10.04 tff(12618,plain,
% 14.81/10.04 ((~v100(constB90)) | ![B: $i] : ((~less_3(B)) | (v90(constB90, B) <=> v129(constB90, B)))),
% 14.81/10.04 inference(unit_resolution,[status(thm)],[12617, 5134])).
% 14.81/10.04 tff(12619,plain,
% 14.81/10.04 (![B: $i] : ((~less_3(B)) | (v90(constB90, B) <=> v129(constB90, B)))),
% 14.81/10.04 inference(unit_resolution,[status(thm)],[12618, 12614])).
% 14.81/10.04 tff(12620,plain,
% 14.81/10.04 (((~![B: $i] : ((~less_3(B)) | (v90(constB90, B) <=> v129(constB90, B)))) | ((~less_3(bitIndex2)) | (v90(constB90, bitIndex2) <=> v129(constB90, bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v90(constB90, B) <=> v129(constB90, B)))) | (~less_3(bitIndex2)) | (v90(constB90, bitIndex2) <=> v129(constB90, bitIndex2)))),
% 14.81/10.04 inference(rewrite,[status(thm)],[])).
% 14.81/10.04 tff(12621,plain,
% 14.81/10.04 ((~![B: $i] : ((~less_3(B)) | (v90(constB90, B) <=> v129(constB90, B)))) | ((~less_3(bitIndex2)) | (v90(constB90, bitIndex2) <=> v129(constB90, bitIndex2)))),
% 14.81/10.04 inference(quant_inst,[status(thm)],[])).
% 14.81/10.04 tff(12622,plain,
% 14.81/10.04 ((~![B: $i] : ((~less_3(B)) | (v90(constB90, B) <=> v129(constB90, B)))) | (~less_3(bitIndex2)) | (v90(constB90, bitIndex2) <=> v129(constB90, bitIndex2))),
% 14.81/10.04 inference(modus_ponens,[status(thm)],[12621, 12620])).
% 14.81/10.04 tff(12623,plain,
% 14.81/10.04 (v90(constB90, bitIndex2) <=> v129(constB90, bitIndex2)),
% 14.81/10.04 inference(unit_resolution,[status(thm)],[12622, 413, 12619])).
% 14.81/10.04 tff(12624,plain,
% 14.81/10.04 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v129(VarNext, B) <=> v127(VarCurr, B))))) | ((~nextState(constB89, constB90)) | ![B: $i] : ((~less_3(B)) | (v129(constB90, B) <=> v127(constB89, B))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v129(VarNext, B) <=> v127(VarCurr, B))))) | (~nextState(constB89, constB90)) | ![B: $i] : ((~less_3(B)) | (v129(constB90, B) <=> v127(constB89, B))))),
% 14.81/10.04 inference(rewrite,[status(thm)],[])).
% 14.81/10.04 tff(12625,plain,
% 14.81/10.04 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v129(VarNext, B) <=> v127(VarCurr, B))))) | ((~nextState(constB89, constB90)) | ![B: $i] : ((~less_3(B)) | (v129(constB90, B) <=> v127(constB89, B))))),
% 14.81/10.04 inference(quant_inst,[status(thm)],[])).
% 14.81/10.04 tff(12626,plain,
% 14.81/10.04 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v129(VarNext, B) <=> v127(VarCurr, B))))) | (~nextState(constB89, constB90)) | ![B: $i] : ((~less_3(B)) | (v129(constB90, B) <=> v127(constB89, B)))),
% 14.81/10.04 inference(modus_ponens,[status(thm)],[12625, 12624])).
% 14.81/10.04 tff(12627,plain,
% 14.81/10.04 (![B: $i] : ((~less_3(B)) | (v129(constB90, B) <=> v127(constB89, B)))),
% 14.81/10.04 inference(unit_resolution,[status(thm)],[12626, 776, 5156])).
% 14.81/10.04 tff(12628,plain,
% 14.81/10.04 (((~![B: $i] : ((~less_3(B)) | (v129(constB90, B) <=> v127(constB89, B)))) | ((~less_3(bitIndex2)) | (v129(constB90, bitIndex2) <=> v127(constB89, bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v129(constB90, B) <=> v127(constB89, B)))) | (~less_3(bitIndex2)) | (v129(constB90, bitIndex2) <=> v127(constB89, bitIndex2)))),
% 14.81/10.04 inference(rewrite,[status(thm)],[])).
% 14.81/10.04 tff(12629,plain,
% 14.81/10.04 ((~![B: $i] : ((~less_3(B)) | (v129(constB90, B) <=> v127(constB89, B)))) | ((~less_3(bitIndex2)) | (v129(constB90, bitIndex2) <=> v127(constB89, bitIndex2)))),
% 14.81/10.04 inference(quant_inst,[status(thm)],[])).
% 14.81/10.04 tff(12630,plain,
% 14.81/10.04 ((~![B: $i] : ((~less_3(B)) | (v129(constB90, B) <=> v127(constB89, B)))) | (~less_3(bitIndex2)) | (v129(constB90, bitIndex2) <=> v127(constB89, bitIndex2))),
% 14.81/10.04 inference(modus_ponens,[status(thm)],[12629, 12628])).
% 14.81/10.04 tff(12631,plain,
% 14.81/10.04 (v129(constB90, bitIndex2) <=> v127(constB89, bitIndex2)),
% 14.81/10.04 inference(unit_resolution,[status(thm)],[12630, 413, 12627])).
% 14.81/10.04 tff(12632,plain,
% 14.81/10.04 (((~![VarCurr: $i] : (v111(VarCurr) | ![B: $i] : ((~less_3(B)) | (v127(VarCurr, B) <=> v130(VarCurr, B))))) | (v111(constB89) | ![B: $i] : ((~less_3(B)) | (v127(constB89, B) <=> v130(constB89, B))))) <=> ((~![VarCurr: $i] : (v111(VarCurr) | ![B: $i] : ((~less_3(B)) | (v127(VarCurr, B) <=> v130(VarCurr, B))))) | v111(constB89) | ![B: $i] : ((~less_3(B)) | (v127(constB89, B) <=> v130(constB89, B))))),
% 14.81/10.04 inference(rewrite,[status(thm)],[])).
% 14.81/10.04 tff(12633,plain,
% 14.81/10.04 ((~![VarCurr: $i] : (v111(VarCurr) | ![B: $i] : ((~less_3(B)) | (v127(VarCurr, B) <=> v130(VarCurr, B))))) | (v111(constB89) | ![B: $i] : ((~less_3(B)) | (v127(constB89, B) <=> v130(constB89, B))))),
% 14.81/10.04 inference(quant_inst,[status(thm)],[])).
% 14.81/10.04 tff(12634,plain,
% 14.81/10.04 ((~![VarCurr: $i] : (v111(VarCurr) | ![B: $i] : ((~less_3(B)) | (v127(VarCurr, B) <=> v130(VarCurr, B))))) | v111(constB89) | ![B: $i] : ((~less_3(B)) | (v127(constB89, B) <=> v130(constB89, B)))),
% 14.81/10.04 inference(modus_ponens,[status(thm)],[12633, 12632])).
% 14.81/10.04 tff(12635,plain,
% 14.81/10.04 (![B: $i] : ((~less_3(B)) | (v127(constB89, B) <=> v130(constB89, B)))),
% 14.81/10.04 inference(unit_resolution,[status(thm)],[12634, 5177, 12596])).
% 14.81/10.04 tff(12636,plain,
% 14.81/10.04 (((~![B: $i] : ((~less_3(B)) | (v127(constB89, B) <=> v130(constB89, B)))) | ((~less_3(bitIndex2)) | (v127(constB89, bitIndex2) <=> v130(constB89, bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v127(constB89, B) <=> v130(constB89, B)))) | (~less_3(bitIndex2)) | (v127(constB89, bitIndex2) <=> v130(constB89, bitIndex2)))),
% 14.81/10.04 inference(rewrite,[status(thm)],[])).
% 14.81/10.04 tff(12637,plain,
% 14.81/10.04 ((~![B: $i] : ((~less_3(B)) | (v127(constB89, B) <=> v130(constB89, B)))) | ((~less_3(bitIndex2)) | (v127(constB89, bitIndex2) <=> v130(constB89, bitIndex2)))),
% 14.81/10.04 inference(quant_inst,[status(thm)],[])).
% 14.81/10.04 tff(12638,plain,
% 14.81/10.04 ((~![B: $i] : ((~less_3(B)) | (v127(constB89, B) <=> v130(constB89, B)))) | (~less_3(bitIndex2)) | (v127(constB89, bitIndex2) <=> v130(constB89, bitIndex2))),
% 14.81/10.04 inference(modus_ponens,[status(thm)],[12637, 12636])).
% 14.81/10.04 tff(12639,plain,
% 14.81/10.04 (v127(constB89, bitIndex2) <=> v130(constB89, bitIndex2)),
% 14.81/10.04 inference(unit_resolution,[status(thm)],[12638, 413, 12635])).
% 14.81/10.04 tff(12640,plain,
% 14.81/10.04 (((~![VarCurr: $i] : ((~v121(VarCurr)) | ![B: $i] : ((~less_3(B)) | (v130(VarCurr, B) <=> b011(B))))) | ((~v121(constB89)) | ![B: $i] : ((~less_3(B)) | (v130(constB89, B) <=> b011(B))))) <=> ((~![VarCurr: $i] : ((~v121(VarCurr)) | ![B: $i] : ((~less_3(B)) | (v130(VarCurr, B) <=> b011(B))))) | (~v121(constB89)) | ![B: $i] : ((~less_3(B)) | (v130(constB89, B) <=> b011(B))))),
% 14.81/10.05 inference(rewrite,[status(thm)],[])).
% 14.81/10.05 tff(12641,plain,
% 14.81/10.05 ((~![VarCurr: $i] : ((~v121(VarCurr)) | ![B: $i] : ((~less_3(B)) | (v130(VarCurr, B) <=> b011(B))))) | ((~v121(constB89)) | ![B: $i] : ((~less_3(B)) | (v130(constB89, B) <=> b011(B))))),
% 14.81/10.05 inference(quant_inst,[status(thm)],[])).
% 14.81/10.05 tff(12642,plain,
% 14.81/10.05 ((~![VarCurr: $i] : ((~v121(VarCurr)) | ![B: $i] : ((~less_3(B)) | (v130(VarCurr, B) <=> b011(B))))) | (~v121(constB89)) | ![B: $i] : ((~less_3(B)) | (v130(constB89, B) <=> b011(B)))),
% 14.81/10.05 inference(modus_ponens,[status(thm)],[12641, 12640])).
% 14.81/10.05 tff(12643,plain,
% 14.81/10.05 ((~v121(constB89)) | ![B: $i] : ((~less_3(B)) | (v130(constB89, B) <=> b011(B)))),
% 14.81/10.05 inference(unit_resolution,[status(thm)],[12642, 5977])).
% 14.81/10.05 tff(12644,plain,
% 14.81/10.05 (![B: $i] : ((~less_3(B)) | (v130(constB89, B) <=> b011(B)))),
% 14.81/10.05 inference(unit_resolution,[status(thm)],[12643, 12567])).
% 14.81/10.05 tff(12645,plain,
% 14.81/10.05 (((~![B: $i] : ((~less_3(B)) | (v130(constB89, B) <=> b011(B)))) | ((~less_3(bitIndex2)) | (v130(constB89, bitIndex2) <=> b011(bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v130(constB89, B) <=> b011(B)))) | (~less_3(bitIndex2)) | (v130(constB89, bitIndex2) <=> b011(bitIndex2)))),
% 14.81/10.05 inference(rewrite,[status(thm)],[])).
% 14.81/10.05 tff(12646,plain,
% 14.81/10.05 ((~![B: $i] : ((~less_3(B)) | (v130(constB89, B) <=> b011(B)))) | ((~less_3(bitIndex2)) | (v130(constB89, bitIndex2) <=> b011(bitIndex2)))),
% 14.81/10.05 inference(quant_inst,[status(thm)],[])).
% 14.81/10.05 tff(12647,plain,
% 14.81/10.05 ((~![B: $i] : ((~less_3(B)) | (v130(constB89, B) <=> b011(B)))) | (~less_3(bitIndex2)) | (v130(constB89, bitIndex2) <=> b011(bitIndex2))),
% 14.81/10.05 inference(modus_ponens,[status(thm)],[12646, 12645])).
% 14.81/10.05 tff(12648,plain,
% 14.81/10.05 (v130(constB89, bitIndex2) <=> b011(bitIndex2)),
% 14.81/10.05 inference(unit_resolution,[status(thm)],[12647, 413, 12644])).
% 14.81/10.05 tff(12649,plain,
% 14.81/10.05 ((~(v130(constB89, bitIndex2) <=> b011(bitIndex2))) | (~v130(constB89, bitIndex2)) | b011(bitIndex2)),
% 14.81/10.05 inference(tautology,[status(thm)],[])).
% 14.81/10.05 tff(12650,plain,
% 14.81/10.05 ((~(v130(constB89, bitIndex2) <=> b011(bitIndex2))) | (~v130(constB89, bitIndex2))),
% 14.81/10.05 inference(unit_resolution,[status(thm)],[12649, 5989])).
% 14.81/10.05 tff(12651,plain,
% 14.81/10.05 (~v130(constB89, bitIndex2)),
% 14.81/10.05 inference(unit_resolution,[status(thm)],[12650, 12648])).
% 14.81/10.05 tff(12652,plain,
% 14.81/10.05 ((~(v127(constB89, bitIndex2) <=> v130(constB89, bitIndex2))) | (~v127(constB89, bitIndex2)) | v130(constB89, bitIndex2)),
% 14.81/10.05 inference(tautology,[status(thm)],[])).
% 14.81/10.05 tff(12653,plain,
% 14.81/10.05 (~v127(constB89, bitIndex2)),
% 14.81/10.05 inference(unit_resolution,[status(thm)],[12652, 12651, 12639])).
% 14.81/10.05 tff(12654,plain,
% 14.81/10.05 ((~(v129(constB90, bitIndex2) <=> v127(constB89, bitIndex2))) | (~v129(constB90, bitIndex2)) | v127(constB89, bitIndex2)),
% 14.81/10.05 inference(tautology,[status(thm)],[])).
% 14.81/10.05 tff(12655,plain,
% 14.81/10.05 (~v129(constB90, bitIndex2)),
% 14.81/10.05 inference(unit_resolution,[status(thm)],[12654, 12653, 12631])).
% 14.81/10.05 tff(12656,plain,
% 14.81/10.05 ((~(v90(constB90, bitIndex2) <=> v129(constB90, bitIndex2))) | (~v90(constB90, bitIndex2)) | v129(constB90, bitIndex2)),
% 14.81/10.05 inference(tautology,[status(thm)],[])).
% 14.81/10.05 tff(12657,plain,
% 14.81/10.05 (~v90(constB90, bitIndex2)),
% 14.81/10.05 inference(unit_resolution,[status(thm)],[12656, 12655, 12623])).
% 14.81/10.05 tff(12658,plain,
% 14.81/10.05 ((~(v90(constB91, bitIndex2) <=> v90(constB90, bitIndex2))) | (~v90(constB91, bitIndex2)) | v90(constB90, bitIndex2)),
% 14.81/10.05 inference(tautology,[status(thm)],[])).
% 14.81/10.05 tff(12659,plain,
% 14.81/10.05 (~v90(constB91, bitIndex2)),
% 14.81/10.05 inference(unit_resolution,[status(thm)],[12658, 12657, 773])).
% 14.81/10.05 tff(12660,plain,
% 14.81/10.05 (((~![B: $i] : ((~less_3(B)) | (v90(constB91, B) <=> v90(constB90, B)))) | ((~less_3(bitIndex0)) | (v90(constB91, bitIndex0) <=> v90(constB90, bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v90(constB91, B) <=> v90(constB90, B)))) | (~less_3(bitIndex0)) | (v90(constB91, bitIndex0) <=> v90(constB90, bitIndex0)))),
% 14.81/10.05 inference(rewrite,[status(thm)],[])).
% 14.81/10.05 tff(12661,plain,
% 14.81/10.05 ((~![B: $i] : ((~less_3(B)) | (v90(constB91, B) <=> v90(constB90, B)))) | ((~less_3(bitIndex0)) | (v90(constB91, bitIndex0) <=> v90(constB90, bitIndex0)))),
% 14.81/10.05 inference(quant_inst,[status(thm)],[])).
% 14.81/10.05 tff(12662,plain,
% 14.81/10.05 ((~![B: $i] : ((~less_3(B)) | (v90(constB91, B) <=> v90(constB90, B)))) | (~less_3(bitIndex0)) | (v90(constB91, bitIndex0) <=> v90(constB90, bitIndex0))),
% 14.81/10.05 inference(modus_ponens,[status(thm)],[12661, 12660])).
% 14.81/10.05 tff(12663,plain,
% 14.81/10.05 (v90(constB91, bitIndex0) <=> v90(constB90, bitIndex0)),
% 14.81/10.05 inference(unit_resolution,[status(thm)],[12662, 5004, 769])).
% 14.81/10.05 tff(12664,plain,
% 14.81/10.05 (((~![B: $i] : ((~less_3(B)) | (v90(constB90, B) <=> v129(constB90, B)))) | ((~less_3(bitIndex0)) | (v90(constB90, bitIndex0) <=> v129(constB90, bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v90(constB90, B) <=> v129(constB90, B)))) | (~less_3(bitIndex0)) | (v90(constB90, bitIndex0) <=> v129(constB90, bitIndex0)))),
% 14.81/10.05 inference(rewrite,[status(thm)],[])).
% 14.81/10.05 tff(12665,plain,
% 14.81/10.05 ((~![B: $i] : ((~less_3(B)) | (v90(constB90, B) <=> v129(constB90, B)))) | ((~less_3(bitIndex0)) | (v90(constB90, bitIndex0) <=> v129(constB90, bitIndex0)))),
% 14.81/10.05 inference(quant_inst,[status(thm)],[])).
% 14.81/10.05 tff(12666,plain,
% 14.81/10.05 ((~![B: $i] : ((~less_3(B)) | (v90(constB90, B) <=> v129(constB90, B)))) | (~less_3(bitIndex0)) | (v90(constB90, bitIndex0) <=> v129(constB90, bitIndex0))),
% 14.81/10.05 inference(modus_ponens,[status(thm)],[12665, 12664])).
% 14.81/10.05 tff(12667,plain,
% 14.81/10.05 (v90(constB90, bitIndex0) <=> v129(constB90, bitIndex0)),
% 14.81/10.05 inference(unit_resolution,[status(thm)],[12666, 5004, 12619])).
% 14.81/10.05 tff(12668,plain,
% 14.81/10.05 (((~![B: $i] : ((~less_3(B)) | (v129(constB90, B) <=> v127(constB89, B)))) | ((~less_3(bitIndex0)) | (v129(constB90, bitIndex0) <=> v127(constB89, bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v129(constB90, B) <=> v127(constB89, B)))) | (~less_3(bitIndex0)) | (v129(constB90, bitIndex0) <=> v127(constB89, bitIndex0)))),
% 14.81/10.05 inference(rewrite,[status(thm)],[])).
% 14.81/10.05 tff(12669,plain,
% 14.81/10.05 ((~![B: $i] : ((~less_3(B)) | (v129(constB90, B) <=> v127(constB89, B)))) | ((~less_3(bitIndex0)) | (v129(constB90, bitIndex0) <=> v127(constB89, bitIndex0)))),
% 14.81/10.05 inference(quant_inst,[status(thm)],[])).
% 14.81/10.05 tff(12670,plain,
% 14.81/10.05 ((~![B: $i] : ((~less_3(B)) | (v129(constB90, B) <=> v127(constB89, B)))) | (~less_3(bitIndex0)) | (v129(constB90, bitIndex0) <=> v127(constB89, bitIndex0))),
% 14.81/10.05 inference(modus_ponens,[status(thm)],[12669, 12668])).
% 14.81/10.05 tff(12671,plain,
% 14.81/10.05 (v129(constB90, bitIndex0) <=> v127(constB89, bitIndex0)),
% 14.81/10.05 inference(unit_resolution,[status(thm)],[12670, 5004, 12627])).
% 14.81/10.05 tff(12672,plain,
% 14.81/10.05 (((~![B: $i] : ((~less_3(B)) | (v127(constB89, B) <=> v130(constB89, B)))) | ((~less_3(bitIndex0)) | (v127(constB89, bitIndex0) <=> v130(constB89, bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v127(constB89, B) <=> v130(constB89, B)))) | (~less_3(bitIndex0)) | (v127(constB89, bitIndex0) <=> v130(constB89, bitIndex0)))),
% 14.81/10.05 inference(rewrite,[status(thm)],[])).
% 14.81/10.05 tff(12673,plain,
% 14.81/10.05 ((~![B: $i] : ((~less_3(B)) | (v127(constB89, B) <=> v130(constB89, B)))) | ((~less_3(bitIndex0)) | (v127(constB89, bitIndex0) <=> v130(constB89, bitIndex0)))),
% 14.81/10.05 inference(quant_inst,[status(thm)],[])).
% 14.81/10.05 tff(12674,plain,
% 14.81/10.05 ((~![B: $i] : ((~less_3(B)) | (v127(constB89, B) <=> v130(constB89, B)))) | (~less_3(bitIndex0)) | (v127(constB89, bitIndex0) <=> v130(constB89, bitIndex0))),
% 14.81/10.05 inference(modus_ponens,[status(thm)],[12673, 12672])).
% 14.81/10.05 tff(12675,plain,
% 14.81/10.05 (v127(constB89, bitIndex0) <=> v130(constB89, bitIndex0)),
% 14.81/10.05 inference(unit_resolution,[status(thm)],[12674, 5004, 12635])).
% 14.81/10.05 tff(12676,plain,
% 14.81/10.05 (((~![B: $i] : ((~less_3(B)) | (v130(constB89, B) <=> b011(B)))) | ((~less_3(bitIndex0)) | (v130(constB89, bitIndex0) <=> b011(bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v130(constB89, B) <=> b011(B)))) | (~less_3(bitIndex0)) | (v130(constB89, bitIndex0) <=> b011(bitIndex0)))),
% 14.81/10.05 inference(rewrite,[status(thm)],[])).
% 14.81/10.05 tff(12677,plain,
% 14.81/10.05 ((~![B: $i] : ((~less_3(B)) | (v130(constB89, B) <=> b011(B)))) | ((~less_3(bitIndex0)) | (v130(constB89, bitIndex0) <=> b011(bitIndex0)))),
% 14.81/10.05 inference(quant_inst,[status(thm)],[])).
% 14.81/10.05 tff(12678,plain,
% 14.81/10.05 ((~![B: $i] : ((~less_3(B)) | (v130(constB89, B) <=> b011(B)))) | (~less_3(bitIndex0)) | (v130(constB89, bitIndex0) <=> b011(bitIndex0))),
% 14.81/10.05 inference(modus_ponens,[status(thm)],[12677, 12676])).
% 14.81/10.05 tff(12679,plain,
% 14.81/10.05 (v130(constB89, bitIndex0) <=> b011(bitIndex0)),
% 14.81/10.05 inference(unit_resolution,[status(thm)],[12678, 5004, 12644])).
% 14.81/10.05 tff(12680,plain,
% 14.81/10.05 ((~(v130(constB89, bitIndex0) <=> b011(bitIndex0))) | v130(constB89, bitIndex0) | (~b011(bitIndex0))),
% 14.81/10.05 inference(tautology,[status(thm)],[])).
% 14.81/10.05 tff(12681,plain,
% 14.81/10.05 ((~(v130(constB89, bitIndex0) <=> b011(bitIndex0))) | v130(constB89, bitIndex0)),
% 14.81/10.05 inference(unit_resolution,[status(thm)],[12680, 6023])).
% 14.81/10.05 tff(12682,plain,
% 14.81/10.05 (v130(constB89, bitIndex0)),
% 14.81/10.05 inference(unit_resolution,[status(thm)],[12681, 12679])).
% 14.81/10.05 tff(12683,plain,
% 14.81/10.05 ((~(v127(constB89, bitIndex0) <=> v130(constB89, bitIndex0))) | v127(constB89, bitIndex0) | (~v130(constB89, bitIndex0))),
% 14.81/10.05 inference(tautology,[status(thm)],[])).
% 14.81/10.05 tff(12684,plain,
% 14.81/10.05 (v127(constB89, bitIndex0)),
% 14.81/10.05 inference(unit_resolution,[status(thm)],[12683, 12682, 12675])).
% 14.81/10.05 tff(12685,plain,
% 14.81/10.05 ((~(v129(constB90, bitIndex0) <=> v127(constB89, bitIndex0))) | v129(constB90, bitIndex0) | (~v127(constB89, bitIndex0))),
% 14.81/10.05 inference(tautology,[status(thm)],[])).
% 14.81/10.05 tff(12686,plain,
% 14.81/10.05 (v129(constB90, bitIndex0)),
% 14.81/10.05 inference(unit_resolution,[status(thm)],[12685, 12684, 12671])).
% 14.81/10.05 tff(12687,plain,
% 14.81/10.05 ((~(v90(constB90, bitIndex0) <=> v129(constB90, bitIndex0))) | v90(constB90, bitIndex0) | (~v129(constB90, bitIndex0))),
% 14.81/10.05 inference(tautology,[status(thm)],[])).
% 14.81/10.05 tff(12688,plain,
% 14.81/10.05 (v90(constB90, bitIndex0)),
% 14.81/10.05 inference(unit_resolution,[status(thm)],[12687, 12686, 12667])).
% 14.81/10.05 tff(12689,plain,
% 14.81/10.05 ((~(v90(constB91, bitIndex0) <=> v90(constB90, bitIndex0))) | v90(constB91, bitIndex0) | (~v90(constB90, bitIndex0))),
% 14.81/10.05 inference(tautology,[status(thm)],[])).
% 14.81/10.05 tff(12690,plain,
% 14.81/10.05 (v90(constB91, bitIndex0)),
% 14.81/10.05 inference(unit_resolution,[status(thm)],[12689, 12688, 12663])).
% 14.81/10.05 tff(12691,plain,
% 14.81/10.05 (((~![B: $i] : ((~less_3(B)) | (v90(constB91, B) <=> v90(constB90, B)))) | ((~less_3(bitIndex1)) | (v90(constB91, bitIndex1) <=> v90(constB90, bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v90(constB91, B) <=> v90(constB90, B)))) | (~less_3(bitIndex1)) | (v90(constB91, bitIndex1) <=> v90(constB90, bitIndex1)))),
% 14.81/10.05 inference(rewrite,[status(thm)],[])).
% 14.81/10.05 tff(12692,plain,
% 14.81/10.05 ((~![B: $i] : ((~less_3(B)) | (v90(constB91, B) <=> v90(constB90, B)))) | ((~less_3(bitIndex1)) | (v90(constB91, bitIndex1) <=> v90(constB90, bitIndex1)))),
% 14.81/10.05 inference(quant_inst,[status(thm)],[])).
% 14.81/10.05 tff(12693,plain,
% 14.81/10.05 ((~![B: $i] : ((~less_3(B)) | (v90(constB91, B) <=> v90(constB90, B)))) | (~less_3(bitIndex1)) | (v90(constB91, bitIndex1) <=> v90(constB90, bitIndex1))),
% 14.81/10.05 inference(modus_ponens,[status(thm)],[12692, 12691])).
% 14.81/10.05 tff(12694,plain,
% 14.81/10.05 (v90(constB91, bitIndex1) <=> v90(constB90, bitIndex1)),
% 14.81/10.05 inference(unit_resolution,[status(thm)],[12693, 5017, 769])).
% 14.81/10.05 tff(12695,plain,
% 14.81/10.05 (((~![B: $i] : ((~less_3(B)) | (v90(constB90, B) <=> v129(constB90, B)))) | ((~less_3(bitIndex1)) | (v90(constB90, bitIndex1) <=> v129(constB90, bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v90(constB90, B) <=> v129(constB90, B)))) | (~less_3(bitIndex1)) | (v90(constB90, bitIndex1) <=> v129(constB90, bitIndex1)))),
% 14.81/10.05 inference(rewrite,[status(thm)],[])).
% 14.81/10.05 tff(12696,plain,
% 14.81/10.05 ((~![B: $i] : ((~less_3(B)) | (v90(constB90, B) <=> v129(constB90, B)))) | ((~less_3(bitIndex1)) | (v90(constB90, bitIndex1) <=> v129(constB90, bitIndex1)))),
% 14.81/10.05 inference(quant_inst,[status(thm)],[])).
% 14.81/10.05 tff(12697,plain,
% 14.81/10.05 ((~![B: $i] : ((~less_3(B)) | (v90(constB90, B) <=> v129(constB90, B)))) | (~less_3(bitIndex1)) | (v90(constB90, bitIndex1) <=> v129(constB90, bitIndex1))),
% 14.81/10.05 inference(modus_ponens,[status(thm)],[12696, 12695])).
% 14.81/10.05 tff(12698,plain,
% 14.81/10.05 (v90(constB90, bitIndex1) <=> v129(constB90, bitIndex1)),
% 14.81/10.05 inference(unit_resolution,[status(thm)],[12697, 5017, 12619])).
% 14.81/10.05 tff(12699,plain,
% 14.81/10.05 (((~![B: $i] : ((~less_3(B)) | (v129(constB90, B) <=> v127(constB89, B)))) | ((~less_3(bitIndex1)) | (v129(constB90, bitIndex1) <=> v127(constB89, bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v129(constB90, B) <=> v127(constB89, B)))) | (~less_3(bitIndex1)) | (v129(constB90, bitIndex1) <=> v127(constB89, bitIndex1)))),
% 14.81/10.05 inference(rewrite,[status(thm)],[])).
% 14.81/10.05 tff(12700,plain,
% 14.81/10.05 ((~![B: $i] : ((~less_3(B)) | (v129(constB90, B) <=> v127(constB89, B)))) | ((~less_3(bitIndex1)) | (v129(constB90, bitIndex1) <=> v127(constB89, bitIndex1)))),
% 14.81/10.05 inference(quant_inst,[status(thm)],[])).
% 14.81/10.05 tff(12701,plain,
% 14.81/10.05 ((~![B: $i] : ((~less_3(B)) | (v129(constB90, B) <=> v127(constB89, B)))) | (~less_3(bitIndex1)) | (v129(constB90, bitIndex1) <=> v127(constB89, bitIndex1))),
% 14.81/10.05 inference(modus_ponens,[status(thm)],[12700, 12699])).
% 14.81/10.05 tff(12702,plain,
% 14.81/10.05 (v129(constB90, bitIndex1) <=> v127(constB89, bitIndex1)),
% 14.81/10.05 inference(unit_resolution,[status(thm)],[12701, 5017, 12627])).
% 14.81/10.05 tff(12703,plain,
% 14.81/10.05 (((~![B: $i] : ((~less_3(B)) | (v127(constB89, B) <=> v130(constB89, B)))) | ((~less_3(bitIndex1)) | (v127(constB89, bitIndex1) <=> v130(constB89, bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v127(constB89, B) <=> v130(constB89, B)))) | (~less_3(bitIndex1)) | (v127(constB89, bitIndex1) <=> v130(constB89, bitIndex1)))),
% 14.81/10.05 inference(rewrite,[status(thm)],[])).
% 14.81/10.05 tff(12704,plain,
% 14.81/10.05 ((~![B: $i] : ((~less_3(B)) | (v127(constB89, B) <=> v130(constB89, B)))) | ((~less_3(bitIndex1)) | (v127(constB89, bitIndex1) <=> v130(constB89, bitIndex1)))),
% 14.81/10.05 inference(quant_inst,[status(thm)],[])).
% 14.81/10.05 tff(12705,plain,
% 14.81/10.05 ((~![B: $i] : ((~less_3(B)) | (v127(constB89, B) <=> v130(constB89, B)))) | (~less_3(bitIndex1)) | (v127(constB89, bitIndex1) <=> v130(constB89, bitIndex1))),
% 14.81/10.05 inference(modus_ponens,[status(thm)],[12704, 12703])).
% 14.81/10.05 tff(12706,plain,
% 14.81/10.05 (v127(constB89, bitIndex1) <=> v130(constB89, bitIndex1)),
% 14.81/10.05 inference(unit_resolution,[status(thm)],[12705, 5017, 12635])).
% 14.81/10.05 tff(12707,plain,
% 14.81/10.05 (((~![B: $i] : ((~less_3(B)) | (v130(constB89, B) <=> b011(B)))) | ((~less_3(bitIndex1)) | (v130(constB89, bitIndex1) <=> b011(bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v130(constB89, B) <=> b011(B)))) | (~less_3(bitIndex1)) | (v130(constB89, bitIndex1) <=> b011(bitIndex1)))),
% 14.81/10.05 inference(rewrite,[status(thm)],[])).
% 14.81/10.05 tff(12708,plain,
% 14.81/10.05 ((~![B: $i] : ((~less_3(B)) | (v130(constB89, B) <=> b011(B)))) | ((~less_3(bitIndex1)) | (v130(constB89, bitIndex1) <=> b011(bitIndex1)))),
% 14.81/10.05 inference(quant_inst,[status(thm)],[])).
% 14.81/10.05 tff(12709,plain,
% 14.81/10.05 ((~![B: $i] : ((~less_3(B)) | (v130(constB89, B) <=> b011(B)))) | (~less_3(bitIndex1)) | (v130(constB89, bitIndex1) <=> b011(bitIndex1))),
% 14.81/10.05 inference(modus_ponens,[status(thm)],[12708, 12707])).
% 14.81/10.05 tff(12710,plain,
% 14.81/10.05 (v130(constB89, bitIndex1) <=> b011(bitIndex1)),
% 14.81/10.05 inference(unit_resolution,[status(thm)],[12709, 5017, 12644])).
% 14.81/10.05 tff(12711,plain,
% 14.81/10.05 ((~(v130(constB89, bitIndex1) <=> b011(bitIndex1))) | v130(constB89, bitIndex1) | (~b011(bitIndex1))),
% 14.81/10.05 inference(tautology,[status(thm)],[])).
% 14.81/10.05 tff(12712,plain,
% 14.81/10.05 ((~(v130(constB89, bitIndex1) <=> b011(bitIndex1))) | v130(constB89, bitIndex1)),
% 14.81/10.05 inference(unit_resolution,[status(thm)],[12711, 6057])).
% 14.81/10.05 tff(12713,plain,
% 14.81/10.05 (v130(constB89, bitIndex1)),
% 14.81/10.05 inference(unit_resolution,[status(thm)],[12712, 12710])).
% 14.81/10.05 tff(12714,plain,
% 14.81/10.05 ((~(v127(constB89, bitIndex1) <=> v130(constB89, bitIndex1))) | v127(constB89, bitIndex1) | (~v130(constB89, bitIndex1))),
% 14.81/10.05 inference(tautology,[status(thm)],[])).
% 14.81/10.05 tff(12715,plain,
% 14.81/10.05 (v127(constB89, bitIndex1)),
% 14.81/10.05 inference(unit_resolution,[status(thm)],[12714, 12713, 12706])).
% 14.81/10.05 tff(12716,plain,
% 14.81/10.05 ((~(v129(constB90, bitIndex1) <=> v127(constB89, bitIndex1))) | v129(constB90, bitIndex1) | (~v127(constB89, bitIndex1))),
% 14.81/10.05 inference(tautology,[status(thm)],[])).
% 14.81/10.05 tff(12717,plain,
% 14.81/10.05 (v129(constB90, bitIndex1)),
% 14.81/10.05 inference(unit_resolution,[status(thm)],[12716, 12715, 12702])).
% 14.81/10.05 tff(12718,plain,
% 14.81/10.05 ((~(v90(constB90, bitIndex1) <=> v129(constB90, bitIndex1))) | v90(constB90, bitIndex1) | (~v129(constB90, bitIndex1))),
% 14.81/10.05 inference(tautology,[status(thm)],[])).
% 14.81/10.05 tff(12719,plain,
% 14.81/10.05 (v90(constB90, bitIndex1)),
% 14.81/10.05 inference(unit_resolution,[status(thm)],[12718, 12717, 12698])).
% 14.81/10.05 tff(12720,plain,
% 14.81/10.05 ((~(v90(constB91, bitIndex1) <=> v90(constB90, bitIndex1))) | v90(constB91, bitIndex1) | (~v90(constB90, bitIndex1))),
% 14.81/10.06 inference(tautology,[status(thm)],[])).
% 14.81/10.06 tff(12721,plain,
% 14.81/10.06 (v90(constB91, bitIndex1)),
% 14.81/10.06 inference(unit_resolution,[status(thm)],[12720, 12719, 12694])).
% 14.81/10.06 tff(12722,plain,
% 14.81/10.06 ((~(v90(constB91, bitIndex2) | (~v90(constB91, bitIndex1)) | (~v90(constB91, bitIndex0)))) | v90(constB91, bitIndex2) | (~v90(constB91, bitIndex1)) | (~v90(constB91, bitIndex0))),
% 14.81/10.06 inference(tautology,[status(thm)],[])).
% 14.81/10.06 tff(12723,plain,
% 14.81/10.06 (~(v90(constB91, bitIndex2) | (~v90(constB91, bitIndex1)) | (~v90(constB91, bitIndex0)))),
% 14.81/10.06 inference(unit_resolution,[status(thm)],[12722, 12721, 12690, 12659])).
% 14.81/10.06 tff(12724,plain,
% 14.81/10.06 ((~(v122(constB91) <=> (~(v90(constB91, bitIndex2) | (~v90(constB91, bitIndex1)) | (~v90(constB91, bitIndex0)))))) | v122(constB91) | (v90(constB91, bitIndex2) | (~v90(constB91, bitIndex1)) | (~v90(constB91, bitIndex0)))),
% 14.81/10.06 inference(tautology,[status(thm)],[])).
% 14.81/10.06 tff(12725,plain,
% 14.81/10.06 (v122(constB91)),
% 14.81/10.06 inference(unit_resolution,[status(thm)],[12724, 12723, 741])).
% 14.81/10.06 tff(12726,plain,
% 14.81/10.06 ((v117(constB91) | v122(constB91)) | (~v122(constB91))),
% 14.81/10.06 inference(tautology,[status(thm)],[])).
% 14.81/10.06 tff(12727,plain,
% 14.81/10.06 (v117(constB91) | v122(constB91)),
% 14.81/10.06 inference(unit_resolution,[status(thm)],[12726, 12725])).
% 14.81/10.06 tff(12728,plain,
% 14.81/10.06 ((~(v116(constB91) <=> (v117(constB91) | v122(constB91)))) | v116(constB91) | (~(v117(constB91) | v122(constB91)))),
% 14.81/10.06 inference(tautology,[status(thm)],[])).
% 14.81/10.06 tff(12729,plain,
% 14.81/10.06 (v116(constB91)),
% 14.81/10.06 inference(unit_resolution,[status(thm)],[12728, 12727, 721])).
% 14.81/10.06 tff(12730,plain,
% 14.81/10.06 ((v116(constB91) | v123(constB91)) | (~v116(constB91))),
% 14.81/10.06 inference(tautology,[status(thm)],[])).
% 14.81/10.06 tff(12731,plain,
% 14.81/10.06 (v116(constB91) | v123(constB91)),
% 14.81/10.06 inference(unit_resolution,[status(thm)],[12730, 12729])).
% 14.81/10.06 tff(12732,plain,
% 14.81/10.06 ((~(v115(constB91) <=> (v116(constB91) | v123(constB91)))) | v115(constB91) | (~(v116(constB91) | v123(constB91)))),
% 14.81/10.06 inference(tautology,[status(thm)],[])).
% 14.81/10.06 tff(12733,plain,
% 14.81/10.06 (v115(constB91)),
% 14.81/10.06 inference(unit_resolution,[status(thm)],[12732, 12731, 712])).
% 14.81/10.06 tff(12734,plain,
% 14.81/10.06 ((v115(constB91) | v124(constB91)) | (~v115(constB91))),
% 14.81/10.06 inference(tautology,[status(thm)],[])).
% 14.81/10.06 tff(12735,plain,
% 14.81/10.06 (v115(constB91) | v124(constB91)),
% 14.81/10.06 inference(unit_resolution,[status(thm)],[12734, 12733])).
% 14.81/10.06 tff(12736,plain,
% 14.81/10.06 ((~(v114(constB91) <=> (v115(constB91) | v124(constB91)))) | v114(constB91) | (~(v115(constB91) | v124(constB91)))),
% 14.81/10.06 inference(tautology,[status(thm)],[])).
% 14.81/10.06 tff(12737,plain,
% 14.81/10.06 (v114(constB91)),
% 14.81/10.06 inference(unit_resolution,[status(thm)],[12736, 12735, 710])).
% 14.81/10.06 tff(12738,plain,
% 14.81/10.06 ((v114(constB91) | v125(constB91)) | (~v114(constB91))),
% 14.81/10.06 inference(tautology,[status(thm)],[])).
% 14.81/10.06 tff(12739,plain,
% 14.81/10.06 (v114(constB91) | v125(constB91)),
% 14.81/10.06 inference(unit_resolution,[status(thm)],[12738, 12737])).
% 14.81/10.06 tff(12740,plain,
% 14.81/10.06 ((~(v113(constB91) <=> (v114(constB91) | v125(constB91)))) | v113(constB91) | (~(v114(constB91) | v125(constB91)))),
% 14.81/10.06 inference(tautology,[status(thm)],[])).
% 14.81/10.06 tff(12741,plain,
% 14.81/10.06 (v113(constB91)),
% 14.81/10.06 inference(unit_resolution,[status(thm)],[12740, 12739, 708])).
% 14.81/10.06 tff(12742,plain,
% 14.81/10.06 ((~![VarCurr: $i] : ((~v126(VarCurr)) <=> v111(VarCurr))) | ((~v126(constB91)) <=> v111(constB91))),
% 14.81/10.06 inference(quant_inst,[status(thm)],[])).
% 14.81/10.06 tff(12743,plain,
% 14.81/10.06 ((~v126(constB91)) <=> v111(constB91)),
% 14.81/10.06 inference(unit_resolution,[status(thm)],[12742, 5074])).
% 14.81/10.06 tff(12744,plain,
% 14.81/10.06 ((~![VarCurr: $i] : (v111(VarCurr) <=> v26(VarCurr))) | (v111(constB91) <=> v26(constB91))),
% 14.81/10.06 inference(quant_inst,[status(thm)],[])).
% 14.81/10.06 tff(12745,plain,
% 14.81/10.06 (v111(constB91) <=> v26(constB91)),
% 14.81/10.06 inference(unit_resolution,[status(thm)],[12744, 5086])).
% 14.81/10.06 tff(12746,plain,
% 14.81/10.06 ((~![VarCurr: $i] : (~v26(VarCurr))) | (~v26(constB91))),
% 14.81/10.06 inference(quant_inst,[status(thm)],[])).
% 14.81/10.06 tff(12747,plain,
% 14.81/10.06 (~v26(constB91)),
% 14.81/10.06 inference(unit_resolution,[status(thm)],[12746, 5098])).
% 14.81/10.06 tff(12748,plain,
% 14.81/10.06 ((~(v111(constB91) <=> v26(constB91))) | (~v111(constB91)) | v26(constB91)),
% 14.81/10.06 inference(tautology,[status(thm)],[])).
% 14.81/10.06 tff(12749,plain,
% 14.81/10.06 ((~(v111(constB91) <=> v26(constB91))) | (~v111(constB91))),
% 14.81/10.06 inference(unit_resolution,[status(thm)],[12748, 12747])).
% 14.81/10.06 tff(12750,plain,
% 14.81/10.06 (~v111(constB91)),
% 14.81/10.06 inference(unit_resolution,[status(thm)],[12749, 12745])).
% 14.81/10.06 tff(12751,plain,
% 14.81/10.06 ((~((~v126(constB91)) <=> v111(constB91))) | v126(constB91) | v111(constB91)),
% 14.81/10.06 inference(tautology,[status(thm)],[])).
% 14.81/10.06 tff(12752,plain,
% 14.81/10.06 ((~((~v126(constB91)) <=> v111(constB91))) | v126(constB91)),
% 14.81/10.06 inference(unit_resolution,[status(thm)],[12751, 12750])).
% 14.81/10.06 tff(12753,plain,
% 14.81/10.06 (v126(constB91)),
% 14.81/10.06 inference(unit_resolution,[status(thm)],[12752, 12743])).
% 14.81/10.06 tff(12754,plain,
% 14.81/10.06 ((~((~v113(constB91)) | (~v126(constB91)))) | (~v113(constB91)) | (~v126(constB91))),
% 14.81/10.06 inference(tautology,[status(thm)],[])).
% 14.81/10.06 tff(12755,plain,
% 14.81/10.06 ((~((~v113(constB91)) | (~v126(constB91)))) | (~v113(constB91))),
% 14.81/10.06 inference(unit_resolution,[status(thm)],[12754, 12753])).
% 14.81/10.06 tff(12756,plain,
% 14.81/10.06 (~((~v113(constB91)) | (~v126(constB91)))),
% 14.81/10.06 inference(unit_resolution,[status(thm)],[12755, 12741])).
% 14.81/10.06 tff(12757,plain,
% 14.81/10.06 ((~(v112(constB91) <=> (~((~v113(constB91)) | (~v126(constB91)))))) | v112(constB91) | ((~v113(constB91)) | (~v126(constB91)))),
% 14.81/10.06 inference(tautology,[status(thm)],[])).
% 14.81/10.06 tff(12758,plain,
% 14.81/10.06 (v112(constB91)),
% 14.81/10.06 inference(unit_resolution,[status(thm)],[12757, 12756, 706])).
% 14.81/10.06 tff(12759,plain,
% 14.81/10.06 ((v111(constB91) | v112(constB91)) | (~v112(constB91))),
% 14.81/10.06 inference(tautology,[status(thm)],[])).
% 14.81/10.06 tff(12760,plain,
% 14.81/10.06 (v111(constB91) | v112(constB91)),
% 14.81/10.06 inference(unit_resolution,[status(thm)],[12759, 12758])).
% 14.81/10.06 tff(12761,plain,
% 14.81/10.06 ((~(v108(constB91) <=> (v111(constB91) | v112(constB91)))) | v108(constB91) | (~(v111(constB91) | v112(constB91)))),
% 14.81/10.06 inference(tautology,[status(thm)],[])).
% 14.81/10.06 tff(12762,plain,
% 14.81/10.06 (v108(constB91)),
% 14.81/10.06 inference(unit_resolution,[status(thm)],[12761, 12760, 704])).
% 14.81/10.06 tff(12763,plain,
% 14.81/10.06 ((~(v110(constB92) <=> v108(constB91))) | v110(constB92) | (~v108(constB91))),
% 14.81/10.06 inference(tautology,[status(thm)],[])).
% 14.81/10.06 tff(12764,plain,
% 14.81/10.06 (v110(constB92)),
% 14.81/10.06 inference(unit_resolution,[status(thm)],[12763, 12762, 702])).
% 14.81/10.06 tff(12765,plain,
% 14.81/10.06 ((~((~v101(constB92)) | (~v110(constB92)))) | (~v101(constB92)) | (~v110(constB92))),
% 14.81/10.06 inference(tautology,[status(thm)],[])).
% 14.81/10.06 tff(12766,plain,
% 14.81/10.06 (~((~v101(constB92)) | (~v110(constB92)))),
% 14.81/10.06 inference(unit_resolution,[status(thm)],[12765, 12764, 698])).
% 14.81/10.06 tff(12767,plain,
% 14.81/10.06 ((~(v100(constB92) <=> (~((~v101(constB92)) | (~v110(constB92)))))) | v100(constB92) | ((~v101(constB92)) | (~v110(constB92)))),
% 14.81/10.06 inference(tautology,[status(thm)],[])).
% 14.81/10.06 tff(12768,plain,
% 14.81/10.06 (v100(constB92)),
% 14.81/10.06 inference(unit_resolution,[status(thm)],[12767, 12766, 667])).
% 14.81/10.06 tff(12769,plain,
% 14.81/10.06 (((~![VarNext: $i] : ((~v100(VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v129(VarNext, B))))) | ((~v100(constB92)) | ![B: $i] : ((~less_3(B)) | (v90(constB92, B) <=> v129(constB92, B))))) <=> ((~![VarNext: $i] : ((~v100(VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v129(VarNext, B))))) | (~v100(constB92)) | ![B: $i] : ((~less_3(B)) | (v90(constB92, B) <=> v129(constB92, B))))),
% 14.81/10.06 inference(rewrite,[status(thm)],[])).
% 14.81/10.06 tff(12770,plain,
% 14.81/10.06 ((~![VarNext: $i] : ((~v100(VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v129(VarNext, B))))) | ((~v100(constB92)) | ![B: $i] : ((~less_3(B)) | (v90(constB92, B) <=> v129(constB92, B))))),
% 14.81/10.06 inference(quant_inst,[status(thm)],[])).
% 14.81/10.06 tff(12771,plain,
% 14.81/10.06 ((~![VarNext: $i] : ((~v100(VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v129(VarNext, B))))) | (~v100(constB92)) | ![B: $i] : ((~less_3(B)) | (v90(constB92, B) <=> v129(constB92, B)))),
% 14.81/10.06 inference(modus_ponens,[status(thm)],[12770, 12769])).
% 14.81/10.06 tff(12772,plain,
% 14.81/10.06 ((~v100(constB92)) | ![B: $i] : ((~less_3(B)) | (v90(constB92, B) <=> v129(constB92, B)))),
% 14.81/10.06 inference(unit_resolution,[status(thm)],[12771, 5134])).
% 14.81/10.06 tff(12773,plain,
% 14.81/10.06 (![B: $i] : ((~less_3(B)) | (v90(constB92, B) <=> v129(constB92, B)))),
% 14.81/10.06 inference(unit_resolution,[status(thm)],[12772, 12768])).
% 14.81/10.06 tff(12774,plain,
% 14.81/10.06 (((~![B: $i] : ((~less_3(B)) | (v90(constB92, B) <=> v129(constB92, B)))) | ((~less_3(bitIndex2)) | (v90(constB92, bitIndex2) <=> v129(constB92, bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v90(constB92, B) <=> v129(constB92, B)))) | (~less_3(bitIndex2)) | (v90(constB92, bitIndex2) <=> v129(constB92, bitIndex2)))),
% 14.81/10.06 inference(rewrite,[status(thm)],[])).
% 14.81/10.06 tff(12775,plain,
% 14.81/10.06 ((~![B: $i] : ((~less_3(B)) | (v90(constB92, B) <=> v129(constB92, B)))) | ((~less_3(bitIndex2)) | (v90(constB92, bitIndex2) <=> v129(constB92, bitIndex2)))),
% 14.81/10.06 inference(quant_inst,[status(thm)],[])).
% 14.81/10.06 tff(12776,plain,
% 14.81/10.06 ((~![B: $i] : ((~less_3(B)) | (v90(constB92, B) <=> v129(constB92, B)))) | (~less_3(bitIndex2)) | (v90(constB92, bitIndex2) <=> v129(constB92, bitIndex2))),
% 14.81/10.06 inference(modus_ponens,[status(thm)],[12775, 12774])).
% 14.81/10.06 tff(12777,plain,
% 14.81/10.06 (v90(constB92, bitIndex2) <=> v129(constB92, bitIndex2)),
% 14.81/10.06 inference(unit_resolution,[status(thm)],[12776, 413, 12773])).
% 14.81/10.06 tff(12778,plain,
% 14.81/10.06 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v129(VarNext, B) <=> v127(VarCurr, B))))) | ((~nextState(constB91, constB92)) | ![B: $i] : ((~less_3(B)) | (v129(constB92, B) <=> v127(constB91, B))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v129(VarNext, B) <=> v127(VarCurr, B))))) | (~nextState(constB91, constB92)) | ![B: $i] : ((~less_3(B)) | (v129(constB92, B) <=> v127(constB91, B))))),
% 14.81/10.06 inference(rewrite,[status(thm)],[])).
% 14.81/10.06 tff(12779,plain,
% 14.81/10.06 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v129(VarNext, B) <=> v127(VarCurr, B))))) | ((~nextState(constB91, constB92)) | ![B: $i] : ((~less_3(B)) | (v129(constB92, B) <=> v127(constB91, B))))),
% 14.81/10.06 inference(quant_inst,[status(thm)],[])).
% 14.81/10.06 tff(12780,plain,
% 14.81/10.06 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v129(VarNext, B) <=> v127(VarCurr, B))))) | (~nextState(constB91, constB92)) | ![B: $i] : ((~less_3(B)) | (v129(constB92, B) <=> v127(constB91, B)))),
% 14.81/10.06 inference(modus_ponens,[status(thm)],[12779, 12778])).
% 14.81/10.06 tff(12781,plain,
% 14.81/10.06 (![B: $i] : ((~less_3(B)) | (v129(constB92, B) <=> v127(constB91, B)))),
% 14.81/10.06 inference(unit_resolution,[status(thm)],[12780, 663, 5156])).
% 14.81/10.06 tff(12782,plain,
% 14.81/10.06 (((~![B: $i] : ((~less_3(B)) | (v129(constB92, B) <=> v127(constB91, B)))) | ((~less_3(bitIndex2)) | (v129(constB92, bitIndex2) <=> v127(constB91, bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v129(constB92, B) <=> v127(constB91, B)))) | (~less_3(bitIndex2)) | (v129(constB92, bitIndex2) <=> v127(constB91, bitIndex2)))),
% 14.81/10.06 inference(rewrite,[status(thm)],[])).
% 14.81/10.06 tff(12783,plain,
% 14.81/10.06 ((~![B: $i] : ((~less_3(B)) | (v129(constB92, B) <=> v127(constB91, B)))) | ((~less_3(bitIndex2)) | (v129(constB92, bitIndex2) <=> v127(constB91, bitIndex2)))),
% 14.81/10.06 inference(quant_inst,[status(thm)],[])).
% 14.81/10.06 tff(12784,plain,
% 14.81/10.06 ((~![B: $i] : ((~less_3(B)) | (v129(constB92, B) <=> v127(constB91, B)))) | (~less_3(bitIndex2)) | (v129(constB92, bitIndex2) <=> v127(constB91, bitIndex2))),
% 14.81/10.06 inference(modus_ponens,[status(thm)],[12783, 12782])).
% 14.81/10.06 tff(12785,plain,
% 14.81/10.06 (v129(constB92, bitIndex2) <=> v127(constB91, bitIndex2)),
% 14.81/10.06 inference(unit_resolution,[status(thm)],[12784, 413, 12781])).
% 14.81/10.06 tff(12786,plain,
% 14.81/10.06 (((~![VarCurr: $i] : (v111(VarCurr) | ![B: $i] : ((~less_3(B)) | (v127(VarCurr, B) <=> v130(VarCurr, B))))) | (v111(constB91) | ![B: $i] : ((~less_3(B)) | (v127(constB91, B) <=> v130(constB91, B))))) <=> ((~![VarCurr: $i] : (v111(VarCurr) | ![B: $i] : ((~less_3(B)) | (v127(VarCurr, B) <=> v130(VarCurr, B))))) | v111(constB91) | ![B: $i] : ((~less_3(B)) | (v127(constB91, B) <=> v130(constB91, B))))),
% 14.81/10.06 inference(rewrite,[status(thm)],[])).
% 14.81/10.06 tff(12787,plain,
% 14.81/10.06 ((~![VarCurr: $i] : (v111(VarCurr) | ![B: $i] : ((~less_3(B)) | (v127(VarCurr, B) <=> v130(VarCurr, B))))) | (v111(constB91) | ![B: $i] : ((~less_3(B)) | (v127(constB91, B) <=> v130(constB91, B))))),
% 14.81/10.06 inference(quant_inst,[status(thm)],[])).
% 14.81/10.06 tff(12788,plain,
% 14.81/10.06 ((~![VarCurr: $i] : (v111(VarCurr) | ![B: $i] : ((~less_3(B)) | (v127(VarCurr, B) <=> v130(VarCurr, B))))) | v111(constB91) | ![B: $i] : ((~less_3(B)) | (v127(constB91, B) <=> v130(constB91, B)))),
% 14.81/10.06 inference(modus_ponens,[status(thm)],[12787, 12786])).
% 14.81/10.06 tff(12789,plain,
% 14.81/10.06 (![B: $i] : ((~less_3(B)) | (v127(constB91, B) <=> v130(constB91, B)))),
% 14.81/10.06 inference(unit_resolution,[status(thm)],[12788, 5177, 12750])).
% 14.81/10.06 tff(12790,plain,
% 14.81/10.06 (((~![B: $i] : ((~less_3(B)) | (v127(constB91, B) <=> v130(constB91, B)))) | ((~less_3(bitIndex2)) | (v127(constB91, bitIndex2) <=> v130(constB91, bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v127(constB91, B) <=> v130(constB91, B)))) | (~less_3(bitIndex2)) | (v127(constB91, bitIndex2) <=> v130(constB91, bitIndex2)))),
% 14.81/10.06 inference(rewrite,[status(thm)],[])).
% 14.81/10.06 tff(12791,plain,
% 14.81/10.06 ((~![B: $i] : ((~less_3(B)) | (v127(constB91, B) <=> v130(constB91, B)))) | ((~less_3(bitIndex2)) | (v127(constB91, bitIndex2) <=> v130(constB91, bitIndex2)))),
% 14.81/10.06 inference(quant_inst,[status(thm)],[])).
% 14.81/10.06 tff(12792,plain,
% 14.81/10.06 ((~![B: $i] : ((~less_3(B)) | (v127(constB91, B) <=> v130(constB91, B)))) | (~less_3(bitIndex2)) | (v127(constB91, bitIndex2) <=> v130(constB91, bitIndex2))),
% 14.81/10.06 inference(modus_ponens,[status(thm)],[12791, 12790])).
% 14.81/10.06 tff(12793,plain,
% 14.81/10.06 (v127(constB91, bitIndex2) <=> v130(constB91, bitIndex2)),
% 14.81/10.06 inference(unit_resolution,[status(thm)],[12792, 413, 12789])).
% 14.81/10.06 tff(12794,plain,
% 14.81/10.06 (((~![VarCurr: $i] : ((~v122(VarCurr)) | ![B: $i] : ((~less_3(B)) | (v130(VarCurr, B) <=> b100(B))))) | ((~v122(constB91)) | ![B: $i] : ((~less_3(B)) | (v130(constB91, B) <=> b100(B))))) <=> ((~![VarCurr: $i] : ((~v122(VarCurr)) | ![B: $i] : ((~less_3(B)) | (v130(VarCurr, B) <=> b100(B))))) | (~v122(constB91)) | ![B: $i] : ((~less_3(B)) | (v130(constB91, B) <=> b100(B))))),
% 14.81/10.06 inference(rewrite,[status(thm)],[])).
% 14.81/10.06 tff(12795,plain,
% 14.81/10.06 ((~![VarCurr: $i] : ((~v122(VarCurr)) | ![B: $i] : ((~less_3(B)) | (v130(VarCurr, B) <=> b100(B))))) | ((~v122(constB91)) | ![B: $i] : ((~less_3(B)) | (v130(constB91, B) <=> b100(B))))),
% 14.81/10.06 inference(quant_inst,[status(thm)],[])).
% 14.81/10.06 tff(12796,plain,
% 14.81/10.06 ((~![VarCurr: $i] : ((~v122(VarCurr)) | ![B: $i] : ((~less_3(B)) | (v130(VarCurr, B) <=> b100(B))))) | (~v122(constB91)) | ![B: $i] : ((~less_3(B)) | (v130(constB91, B) <=> b100(B)))),
% 14.81/10.06 inference(modus_ponens,[status(thm)],[12795, 12794])).
% 14.81/10.06 tff(12797,plain,
% 14.81/10.06 ((~v122(constB91)) | ![B: $i] : ((~less_3(B)) | (v130(constB91, B) <=> b100(B)))),
% 14.81/10.06 inference(unit_resolution,[status(thm)],[12796, 6153])).
% 14.81/10.06 tff(12798,plain,
% 14.81/10.06 (![B: $i] : ((~less_3(B)) | (v130(constB91, B) <=> b100(B)))),
% 14.81/10.06 inference(unit_resolution,[status(thm)],[12797, 12725])).
% 14.81/10.06 tff(12799,plain,
% 14.81/10.06 (((~![B: $i] : ((~less_3(B)) | (v130(constB91, B) <=> b100(B)))) | ((~less_3(bitIndex2)) | (v130(constB91, bitIndex2) <=> b100(bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v130(constB91, B) <=> b100(B)))) | (~less_3(bitIndex2)) | (v130(constB91, bitIndex2) <=> b100(bitIndex2)))),
% 14.81/10.06 inference(rewrite,[status(thm)],[])).
% 14.81/10.06 tff(12800,plain,
% 14.81/10.06 ((~![B: $i] : ((~less_3(B)) | (v130(constB91, B) <=> b100(B)))) | ((~less_3(bitIndex2)) | (v130(constB91, bitIndex2) <=> b100(bitIndex2)))),
% 14.81/10.06 inference(quant_inst,[status(thm)],[])).
% 14.81/10.06 tff(12801,plain,
% 14.81/10.06 ((~![B: $i] : ((~less_3(B)) | (v130(constB91, B) <=> b100(B)))) | (~less_3(bitIndex2)) | (v130(constB91, bitIndex2) <=> b100(bitIndex2))),
% 14.81/10.06 inference(modus_ponens,[status(thm)],[12800, 12799])).
% 14.81/10.06 tff(12802,plain,
% 14.81/10.06 (v130(constB91, bitIndex2) <=> b100(bitIndex2)),
% 14.81/10.06 inference(unit_resolution,[status(thm)],[12801, 413, 12798])).
% 14.81/10.06 tff(12803,plain,
% 14.81/10.06 ((~(v130(constB91, bitIndex2) <=> b100(bitIndex2))) | v130(constB91, bitIndex2) | (~b100(bitIndex2))),
% 14.81/10.06 inference(tautology,[status(thm)],[])).
% 14.81/10.06 tff(12804,plain,
% 14.81/10.06 ((~(v130(constB91, bitIndex2) <=> b100(bitIndex2))) | v130(constB91, bitIndex2)),
% 14.81/10.06 inference(unit_resolution,[status(thm)],[12803, 5209])).
% 14.81/10.06 tff(12805,plain,
% 14.81/10.06 (v130(constB91, bitIndex2)),
% 14.81/10.06 inference(unit_resolution,[status(thm)],[12804, 12802])).
% 14.81/10.06 tff(12806,plain,
% 14.81/10.07 ((~(v127(constB91, bitIndex2) <=> v130(constB91, bitIndex2))) | v127(constB91, bitIndex2) | (~v130(constB91, bitIndex2))),
% 14.81/10.07 inference(tautology,[status(thm)],[])).
% 14.81/10.07 tff(12807,plain,
% 14.81/10.07 (v127(constB91, bitIndex2)),
% 14.81/10.07 inference(unit_resolution,[status(thm)],[12806, 12805, 12793])).
% 14.81/10.07 tff(12808,plain,
% 14.81/10.07 ((~(v129(constB92, bitIndex2) <=> v127(constB91, bitIndex2))) | v129(constB92, bitIndex2) | (~v127(constB91, bitIndex2))),
% 14.81/10.07 inference(tautology,[status(thm)],[])).
% 14.81/10.07 tff(12809,plain,
% 14.81/10.07 (v129(constB92, bitIndex2)),
% 14.81/10.07 inference(unit_resolution,[status(thm)],[12808, 12807, 12785])).
% 14.81/10.07 tff(12810,plain,
% 14.81/10.07 ((~(v90(constB92, bitIndex2) <=> v129(constB92, bitIndex2))) | v90(constB92, bitIndex2) | (~v129(constB92, bitIndex2))),
% 14.81/10.07 inference(tautology,[status(thm)],[])).
% 14.81/10.07 tff(12811,plain,
% 14.81/10.07 (v90(constB92, bitIndex2)),
% 14.81/10.07 inference(unit_resolution,[status(thm)],[12810, 12809, 12777])).
% 14.81/10.07 tff(12812,plain,
% 14.81/10.07 ((~(v90(constB93, bitIndex2) <=> v90(constB92, bitIndex2))) | v90(constB93, bitIndex2) | (~v90(constB92, bitIndex2))),
% 14.81/10.07 inference(tautology,[status(thm)],[])).
% 14.81/10.07 tff(12813,plain,
% 14.81/10.07 (v90(constB93, bitIndex2)),
% 14.81/10.07 inference(unit_resolution,[status(thm)],[12812, 12811, 660])).
% 14.81/10.07 tff(12814,plain,
% 14.81/10.07 (((~![B: $i] : ((~less_3(B)) | (v90(constB93, B) <=> v90(constB92, B)))) | ((~less_3(bitIndex0)) | (v90(constB93, bitIndex0) <=> v90(constB92, bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v90(constB93, B) <=> v90(constB92, B)))) | (~less_3(bitIndex0)) | (v90(constB93, bitIndex0) <=> v90(constB92, bitIndex0)))),
% 14.81/10.07 inference(rewrite,[status(thm)],[])).
% 14.81/10.07 tff(12815,plain,
% 14.81/10.07 ((~![B: $i] : ((~less_3(B)) | (v90(constB93, B) <=> v90(constB92, B)))) | ((~less_3(bitIndex0)) | (v90(constB93, bitIndex0) <=> v90(constB92, bitIndex0)))),
% 14.81/10.07 inference(quant_inst,[status(thm)],[])).
% 14.81/10.07 tff(12816,plain,
% 14.81/10.07 ((~![B: $i] : ((~less_3(B)) | (v90(constB93, B) <=> v90(constB92, B)))) | (~less_3(bitIndex0)) | (v90(constB93, bitIndex0) <=> v90(constB92, bitIndex0))),
% 14.81/10.07 inference(modus_ponens,[status(thm)],[12815, 12814])).
% 14.81/10.07 tff(12817,plain,
% 14.81/10.07 (v90(constB93, bitIndex0) <=> v90(constB92, bitIndex0)),
% 14.81/10.07 inference(unit_resolution,[status(thm)],[12816, 5004, 656])).
% 14.81/10.07 tff(12818,plain,
% 14.81/10.07 (((~![B: $i] : ((~less_3(B)) | (v90(constB92, B) <=> v129(constB92, B)))) | ((~less_3(bitIndex0)) | (v90(constB92, bitIndex0) <=> v129(constB92, bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v90(constB92, B) <=> v129(constB92, B)))) | (~less_3(bitIndex0)) | (v90(constB92, bitIndex0) <=> v129(constB92, bitIndex0)))),
% 14.81/10.07 inference(rewrite,[status(thm)],[])).
% 14.81/10.07 tff(12819,plain,
% 14.81/10.07 ((~![B: $i] : ((~less_3(B)) | (v90(constB92, B) <=> v129(constB92, B)))) | ((~less_3(bitIndex0)) | (v90(constB92, bitIndex0) <=> v129(constB92, bitIndex0)))),
% 14.81/10.07 inference(quant_inst,[status(thm)],[])).
% 14.81/10.07 tff(12820,plain,
% 14.81/10.07 ((~![B: $i] : ((~less_3(B)) | (v90(constB92, B) <=> v129(constB92, B)))) | (~less_3(bitIndex0)) | (v90(constB92, bitIndex0) <=> v129(constB92, bitIndex0))),
% 14.81/10.07 inference(modus_ponens,[status(thm)],[12819, 12818])).
% 14.81/10.07 tff(12821,plain,
% 14.81/10.07 (v90(constB92, bitIndex0) <=> v129(constB92, bitIndex0)),
% 14.81/10.07 inference(unit_resolution,[status(thm)],[12820, 5004, 12773])).
% 14.81/10.07 tff(12822,plain,
% 14.81/10.07 (((~![B: $i] : ((~less_3(B)) | (v129(constB92, B) <=> v127(constB91, B)))) | ((~less_3(bitIndex0)) | (v129(constB92, bitIndex0) <=> v127(constB91, bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v129(constB92, B) <=> v127(constB91, B)))) | (~less_3(bitIndex0)) | (v129(constB92, bitIndex0) <=> v127(constB91, bitIndex0)))),
% 14.81/10.07 inference(rewrite,[status(thm)],[])).
% 14.81/10.07 tff(12823,plain,
% 14.81/10.07 ((~![B: $i] : ((~less_3(B)) | (v129(constB92, B) <=> v127(constB91, B)))) | ((~less_3(bitIndex0)) | (v129(constB92, bitIndex0) <=> v127(constB91, bitIndex0)))),
% 14.81/10.07 inference(quant_inst,[status(thm)],[])).
% 14.81/10.07 tff(12824,plain,
% 14.81/10.07 ((~![B: $i] : ((~less_3(B)) | (v129(constB92, B) <=> v127(constB91, B)))) | (~less_3(bitIndex0)) | (v129(constB92, bitIndex0) <=> v127(constB91, bitIndex0))),
% 14.81/10.07 inference(modus_ponens,[status(thm)],[12823, 12822])).
% 14.81/10.07 tff(12825,plain,
% 14.81/10.07 (v129(constB92, bitIndex0) <=> v127(constB91, bitIndex0)),
% 14.81/10.07 inference(unit_resolution,[status(thm)],[12824, 5004, 12781])).
% 14.81/10.07 tff(12826,plain,
% 14.81/10.07 (((~![B: $i] : ((~less_3(B)) | (v127(constB91, B) <=> v130(constB91, B)))) | ((~less_3(bitIndex0)) | (v127(constB91, bitIndex0) <=> v130(constB91, bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v127(constB91, B) <=> v130(constB91, B)))) | (~less_3(bitIndex0)) | (v127(constB91, bitIndex0) <=> v130(constB91, bitIndex0)))),
% 14.81/10.07 inference(rewrite,[status(thm)],[])).
% 14.81/10.07 tff(12827,plain,
% 14.81/10.07 ((~![B: $i] : ((~less_3(B)) | (v127(constB91, B) <=> v130(constB91, B)))) | ((~less_3(bitIndex0)) | (v127(constB91, bitIndex0) <=> v130(constB91, bitIndex0)))),
% 14.81/10.07 inference(quant_inst,[status(thm)],[])).
% 14.81/10.07 tff(12828,plain,
% 14.81/10.07 ((~![B: $i] : ((~less_3(B)) | (v127(constB91, B) <=> v130(constB91, B)))) | (~less_3(bitIndex0)) | (v127(constB91, bitIndex0) <=> v130(constB91, bitIndex0))),
% 14.81/10.07 inference(modus_ponens,[status(thm)],[12827, 12826])).
% 14.81/10.07 tff(12829,plain,
% 14.81/10.07 (v127(constB91, bitIndex0) <=> v130(constB91, bitIndex0)),
% 14.81/10.07 inference(unit_resolution,[status(thm)],[12828, 5004, 12789])).
% 14.81/10.07 tff(12830,plain,
% 14.81/10.07 (((~![B: $i] : ((~less_3(B)) | (v130(constB91, B) <=> b100(B)))) | ((~less_3(bitIndex0)) | (v130(constB91, bitIndex0) <=> b100(bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v130(constB91, B) <=> b100(B)))) | (~less_3(bitIndex0)) | (v130(constB91, bitIndex0) <=> b100(bitIndex0)))),
% 14.81/10.07 inference(rewrite,[status(thm)],[])).
% 14.81/10.07 tff(12831,plain,
% 14.81/10.07 ((~![B: $i] : ((~less_3(B)) | (v130(constB91, B) <=> b100(B)))) | ((~less_3(bitIndex0)) | (v130(constB91, bitIndex0) <=> b100(bitIndex0)))),
% 14.81/10.07 inference(quant_inst,[status(thm)],[])).
% 14.81/10.07 tff(12832,plain,
% 14.81/10.07 ((~![B: $i] : ((~less_3(B)) | (v130(constB91, B) <=> b100(B)))) | (~less_3(bitIndex0)) | (v130(constB91, bitIndex0) <=> b100(bitIndex0))),
% 14.81/10.07 inference(modus_ponens,[status(thm)],[12831, 12830])).
% 14.81/10.07 tff(12833,plain,
% 14.81/10.07 (v130(constB91, bitIndex0) <=> b100(bitIndex0)),
% 14.81/10.07 inference(unit_resolution,[status(thm)],[12832, 5004, 12798])).
% 14.81/10.07 tff(12834,plain,
% 14.81/10.07 ((~(v130(constB91, bitIndex0) <=> b100(bitIndex0))) | (~v130(constB91, bitIndex0)) | b100(bitIndex0)),
% 14.81/10.07 inference(tautology,[status(thm)],[])).
% 14.81/10.07 tff(12835,plain,
% 14.81/10.07 ((~(v130(constB91, bitIndex0) <=> b100(bitIndex0))) | (~v130(constB91, bitIndex0))),
% 14.81/10.07 inference(unit_resolution,[status(thm)],[12834, 5243])).
% 14.81/10.07 tff(12836,plain,
% 14.81/10.07 (~v130(constB91, bitIndex0)),
% 14.81/10.07 inference(unit_resolution,[status(thm)],[12835, 12833])).
% 14.81/10.07 tff(12837,plain,
% 14.81/10.07 ((~(v127(constB91, bitIndex0) <=> v130(constB91, bitIndex0))) | (~v127(constB91, bitIndex0)) | v130(constB91, bitIndex0)),
% 14.81/10.07 inference(tautology,[status(thm)],[])).
% 14.81/10.07 tff(12838,plain,
% 14.81/10.07 (~v127(constB91, bitIndex0)),
% 14.81/10.07 inference(unit_resolution,[status(thm)],[12837, 12836, 12829])).
% 14.81/10.07 tff(12839,plain,
% 14.81/10.07 ((~(v129(constB92, bitIndex0) <=> v127(constB91, bitIndex0))) | (~v129(constB92, bitIndex0)) | v127(constB91, bitIndex0)),
% 14.81/10.07 inference(tautology,[status(thm)],[])).
% 14.81/10.07 tff(12840,plain,
% 14.81/10.07 (~v129(constB92, bitIndex0)),
% 14.81/10.07 inference(unit_resolution,[status(thm)],[12839, 12838, 12825])).
% 14.81/10.07 tff(12841,plain,
% 14.81/10.07 ((~(v90(constB92, bitIndex0) <=> v129(constB92, bitIndex0))) | (~v90(constB92, bitIndex0)) | v129(constB92, bitIndex0)),
% 14.81/10.07 inference(tautology,[status(thm)],[])).
% 14.81/10.07 tff(12842,plain,
% 14.81/10.07 (~v90(constB92, bitIndex0)),
% 14.81/10.07 inference(unit_resolution,[status(thm)],[12841, 12840, 12821])).
% 14.81/10.07 tff(12843,plain,
% 14.81/10.07 ((~(v90(constB93, bitIndex0) <=> v90(constB92, bitIndex0))) | (~v90(constB93, bitIndex0)) | v90(constB92, bitIndex0)),
% 14.81/10.07 inference(tautology,[status(thm)],[])).
% 14.81/10.07 tff(12844,plain,
% 14.81/10.07 (~v90(constB93, bitIndex0)),
% 14.81/10.07 inference(unit_resolution,[status(thm)],[12843, 12842, 12817])).
% 14.81/10.07 tff(12845,plain,
% 14.81/10.07 (((~![B: $i] : ((~less_3(B)) | (v90(constB93, B) <=> v90(constB92, B)))) | ((~less_3(bitIndex1)) | (v90(constB93, bitIndex1) <=> v90(constB92, bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v90(constB93, B) <=> v90(constB92, B)))) | (~less_3(bitIndex1)) | (v90(constB93, bitIndex1) <=> v90(constB92, bitIndex1)))),
% 14.81/10.07 inference(rewrite,[status(thm)],[])).
% 14.81/10.07 tff(12846,plain,
% 14.81/10.07 ((~![B: $i] : ((~less_3(B)) | (v90(constB93, B) <=> v90(constB92, B)))) | ((~less_3(bitIndex1)) | (v90(constB93, bitIndex1) <=> v90(constB92, bitIndex1)))),
% 14.81/10.07 inference(quant_inst,[status(thm)],[])).
% 14.81/10.07 tff(12847,plain,
% 14.81/10.07 ((~![B: $i] : ((~less_3(B)) | (v90(constB93, B) <=> v90(constB92, B)))) | (~less_3(bitIndex1)) | (v90(constB93, bitIndex1) <=> v90(constB92, bitIndex1))),
% 14.81/10.07 inference(modus_ponens,[status(thm)],[12846, 12845])).
% 14.81/10.07 tff(12848,plain,
% 14.81/10.07 (v90(constB93, bitIndex1) <=> v90(constB92, bitIndex1)),
% 14.81/10.07 inference(unit_resolution,[status(thm)],[12847, 5017, 656])).
% 14.81/10.07 tff(12849,plain,
% 14.81/10.07 (((~![B: $i] : ((~less_3(B)) | (v90(constB92, B) <=> v129(constB92, B)))) | ((~less_3(bitIndex1)) | (v90(constB92, bitIndex1) <=> v129(constB92, bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v90(constB92, B) <=> v129(constB92, B)))) | (~less_3(bitIndex1)) | (v90(constB92, bitIndex1) <=> v129(constB92, bitIndex1)))),
% 14.81/10.07 inference(rewrite,[status(thm)],[])).
% 14.81/10.07 tff(12850,plain,
% 14.81/10.07 ((~![B: $i] : ((~less_3(B)) | (v90(constB92, B) <=> v129(constB92, B)))) | ((~less_3(bitIndex1)) | (v90(constB92, bitIndex1) <=> v129(constB92, bitIndex1)))),
% 14.81/10.07 inference(quant_inst,[status(thm)],[])).
% 14.81/10.07 tff(12851,plain,
% 14.81/10.07 ((~![B: $i] : ((~less_3(B)) | (v90(constB92, B) <=> v129(constB92, B)))) | (~less_3(bitIndex1)) | (v90(constB92, bitIndex1) <=> v129(constB92, bitIndex1))),
% 14.81/10.07 inference(modus_ponens,[status(thm)],[12850, 12849])).
% 14.81/10.07 tff(12852,plain,
% 14.81/10.07 (v90(constB92, bitIndex1) <=> v129(constB92, bitIndex1)),
% 14.81/10.07 inference(unit_resolution,[status(thm)],[12851, 5017, 12773])).
% 14.81/10.07 tff(12853,plain,
% 14.81/10.07 (((~![B: $i] : ((~less_3(B)) | (v129(constB92, B) <=> v127(constB91, B)))) | ((~less_3(bitIndex1)) | (v129(constB92, bitIndex1) <=> v127(constB91, bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v129(constB92, B) <=> v127(constB91, B)))) | (~less_3(bitIndex1)) | (v129(constB92, bitIndex1) <=> v127(constB91, bitIndex1)))),
% 14.81/10.07 inference(rewrite,[status(thm)],[])).
% 14.81/10.07 tff(12854,plain,
% 14.81/10.07 ((~![B: $i] : ((~less_3(B)) | (v129(constB92, B) <=> v127(constB91, B)))) | ((~less_3(bitIndex1)) | (v129(constB92, bitIndex1) <=> v127(constB91, bitIndex1)))),
% 14.81/10.07 inference(quant_inst,[status(thm)],[])).
% 14.81/10.07 tff(12855,plain,
% 14.81/10.07 ((~![B: $i] : ((~less_3(B)) | (v129(constB92, B) <=> v127(constB91, B)))) | (~less_3(bitIndex1)) | (v129(constB92, bitIndex1) <=> v127(constB91, bitIndex1))),
% 14.81/10.07 inference(modus_ponens,[status(thm)],[12854, 12853])).
% 14.81/10.07 tff(12856,plain,
% 14.81/10.07 (v129(constB92, bitIndex1) <=> v127(constB91, bitIndex1)),
% 14.81/10.07 inference(unit_resolution,[status(thm)],[12855, 5017, 12781])).
% 14.81/10.07 tff(12857,plain,
% 14.81/10.07 (((~![B: $i] : ((~less_3(B)) | (v127(constB91, B) <=> v130(constB91, B)))) | ((~less_3(bitIndex1)) | (v127(constB91, bitIndex1) <=> v130(constB91, bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v127(constB91, B) <=> v130(constB91, B)))) | (~less_3(bitIndex1)) | (v127(constB91, bitIndex1) <=> v130(constB91, bitIndex1)))),
% 14.81/10.07 inference(rewrite,[status(thm)],[])).
% 14.81/10.07 tff(12858,plain,
% 14.81/10.07 ((~![B: $i] : ((~less_3(B)) | (v127(constB91, B) <=> v130(constB91, B)))) | ((~less_3(bitIndex1)) | (v127(constB91, bitIndex1) <=> v130(constB91, bitIndex1)))),
% 14.81/10.07 inference(quant_inst,[status(thm)],[])).
% 14.81/10.07 tff(12859,plain,
% 14.81/10.07 ((~![B: $i] : ((~less_3(B)) | (v127(constB91, B) <=> v130(constB91, B)))) | (~less_3(bitIndex1)) | (v127(constB91, bitIndex1) <=> v130(constB91, bitIndex1))),
% 14.81/10.07 inference(modus_ponens,[status(thm)],[12858, 12857])).
% 14.81/10.07 tff(12860,plain,
% 14.81/10.07 (v127(constB91, bitIndex1) <=> v130(constB91, bitIndex1)),
% 14.81/10.07 inference(unit_resolution,[status(thm)],[12859, 5017, 12789])).
% 14.81/10.07 tff(12861,plain,
% 14.81/10.07 (((~![B: $i] : ((~less_3(B)) | (v130(constB91, B) <=> b100(B)))) | ((~less_3(bitIndex1)) | (v130(constB91, bitIndex1) <=> b100(bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v130(constB91, B) <=> b100(B)))) | (~less_3(bitIndex1)) | (v130(constB91, bitIndex1) <=> b100(bitIndex1)))),
% 14.81/10.07 inference(rewrite,[status(thm)],[])).
% 14.81/10.07 tff(12862,plain,
% 14.81/10.07 ((~![B: $i] : ((~less_3(B)) | (v130(constB91, B) <=> b100(B)))) | ((~less_3(bitIndex1)) | (v130(constB91, bitIndex1) <=> b100(bitIndex1)))),
% 14.81/10.07 inference(quant_inst,[status(thm)],[])).
% 14.81/10.07 tff(12863,plain,
% 14.81/10.07 ((~![B: $i] : ((~less_3(B)) | (v130(constB91, B) <=> b100(B)))) | (~less_3(bitIndex1)) | (v130(constB91, bitIndex1) <=> b100(bitIndex1))),
% 14.81/10.07 inference(modus_ponens,[status(thm)],[12862, 12861])).
% 14.81/10.07 tff(12864,plain,
% 14.81/10.07 (v130(constB91, bitIndex1) <=> b100(bitIndex1)),
% 14.81/10.07 inference(unit_resolution,[status(thm)],[12863, 5017, 12798])).
% 14.81/10.07 tff(12865,plain,
% 14.81/10.07 ((~(v130(constB91, bitIndex1) <=> b100(bitIndex1))) | (~v130(constB91, bitIndex1)) | b100(bitIndex1)),
% 14.81/10.07 inference(tautology,[status(thm)],[])).
% 14.81/10.07 tff(12866,plain,
% 14.81/10.07 ((~(v130(constB91, bitIndex1) <=> b100(bitIndex1))) | (~v130(constB91, bitIndex1))),
% 14.81/10.07 inference(unit_resolution,[status(thm)],[12865, 5277])).
% 14.81/10.07 tff(12867,plain,
% 14.81/10.07 (~v130(constB91, bitIndex1)),
% 14.81/10.07 inference(unit_resolution,[status(thm)],[12866, 12864])).
% 14.81/10.07 tff(12868,plain,
% 14.81/10.07 ((~(v127(constB91, bitIndex1) <=> v130(constB91, bitIndex1))) | (~v127(constB91, bitIndex1)) | v130(constB91, bitIndex1)),
% 14.81/10.07 inference(tautology,[status(thm)],[])).
% 14.81/10.07 tff(12869,plain,
% 14.81/10.07 (~v127(constB91, bitIndex1)),
% 14.81/10.07 inference(unit_resolution,[status(thm)],[12868, 12867, 12860])).
% 14.81/10.07 tff(12870,plain,
% 14.81/10.07 ((~(v129(constB92, bitIndex1) <=> v127(constB91, bitIndex1))) | (~v129(constB92, bitIndex1)) | v127(constB91, bitIndex1)),
% 14.81/10.07 inference(tautology,[status(thm)],[])).
% 14.81/10.07 tff(12871,plain,
% 14.81/10.07 (~v129(constB92, bitIndex1)),
% 14.81/10.07 inference(unit_resolution,[status(thm)],[12870, 12869, 12856])).
% 14.81/10.07 tff(12872,plain,
% 14.81/10.07 ((~(v90(constB92, bitIndex1) <=> v129(constB92, bitIndex1))) | (~v90(constB92, bitIndex1)) | v129(constB92, bitIndex1)),
% 14.81/10.07 inference(tautology,[status(thm)],[])).
% 14.81/10.07 tff(12873,plain,
% 14.81/10.07 (~v90(constB92, bitIndex1)),
% 14.81/10.07 inference(unit_resolution,[status(thm)],[12872, 12871, 12852])).
% 14.81/10.07 tff(12874,plain,
% 14.81/10.07 ((~(v90(constB93, bitIndex1) <=> v90(constB92, bitIndex1))) | (~v90(constB93, bitIndex1)) | v90(constB92, bitIndex1)),
% 14.81/10.07 inference(tautology,[status(thm)],[])).
% 14.81/10.07 tff(12875,plain,
% 14.81/10.07 (~v90(constB93, bitIndex1)),
% 14.81/10.07 inference(unit_resolution,[status(thm)],[12874, 12873, 12848])).
% 14.81/10.07 tff(12876,plain,
% 14.81/10.07 ((~((~v90(constB93, bitIndex2)) | v90(constB93, bitIndex1) | v90(constB93, bitIndex0))) | (~v90(constB93, bitIndex2)) | v90(constB93, bitIndex1) | v90(constB93, bitIndex0)),
% 14.81/10.07 inference(tautology,[status(thm)],[])).
% 14.81/10.07 tff(12877,plain,
% 14.81/10.07 (~((~v90(constB93, bitIndex2)) | v90(constB93, bitIndex1) | v90(constB93, bitIndex0))),
% 14.81/10.07 inference(unit_resolution,[status(thm)],[12876, 12875, 12844, 12813])).
% 14.81/10.07 tff(12878,plain,
% 14.81/10.07 ((~(v123(constB93) <=> (~((~v90(constB93, bitIndex2)) | v90(constB93, bitIndex1) | v90(constB93, bitIndex0))))) | v123(constB93) | ((~v90(constB93, bitIndex2)) | v90(constB93, bitIndex1) | v90(constB93, bitIndex0))),
% 14.81/10.07 inference(tautology,[status(thm)],[])).
% 14.81/10.07 tff(12879,plain,
% 14.81/10.07 (v123(constB93)),
% 14.81/10.07 inference(unit_resolution,[status(thm)],[12878, 12877, 628])).
% 14.81/10.07 tff(12880,plain,
% 14.81/10.07 ((v116(constB93) | v123(constB93)) | (~v123(constB93))),
% 14.81/10.07 inference(tautology,[status(thm)],[])).
% 14.81/10.07 tff(12881,plain,
% 14.81/10.07 (v116(constB93) | v123(constB93)),
% 14.81/10.07 inference(unit_resolution,[status(thm)],[12880, 12879])).
% 14.81/10.07 tff(12882,plain,
% 14.81/10.07 ((~(v115(constB93) <=> (v116(constB93) | v123(constB93)))) | v115(constB93) | (~(v116(constB93) | v123(constB93)))),
% 14.81/10.07 inference(tautology,[status(thm)],[])).
% 14.81/10.07 tff(12883,plain,
% 14.81/10.07 (v115(constB93)),
% 14.81/10.07 inference(unit_resolution,[status(thm)],[12882, 12881, 608])).
% 14.81/10.07 tff(12884,plain,
% 14.81/10.07 ((v115(constB93) | v124(constB93)) | (~v115(constB93))),
% 14.81/10.07 inference(tautology,[status(thm)],[])).
% 14.81/10.07 tff(12885,plain,
% 14.81/10.07 (v115(constB93) | v124(constB93)),
% 14.81/10.07 inference(unit_resolution,[status(thm)],[12884, 12883])).
% 14.81/10.07 tff(12886,plain,
% 14.81/10.07 ((~(v114(constB93) <=> (v115(constB93) | v124(constB93)))) | v114(constB93) | (~(v115(constB93) | v124(constB93)))),
% 14.81/10.07 inference(tautology,[status(thm)],[])).
% 14.81/10.07 tff(12887,plain,
% 14.81/10.07 (v114(constB93)),
% 14.81/10.07 inference(unit_resolution,[status(thm)],[12886, 12885, 599])).
% 14.81/10.07 tff(12888,plain,
% 14.81/10.07 ((v114(constB93) | v125(constB93)) | (~v114(constB93))),
% 14.81/10.07 inference(tautology,[status(thm)],[])).
% 14.81/10.07 tff(12889,plain,
% 14.81/10.07 (v114(constB93) | v125(constB93)),
% 14.81/10.08 inference(unit_resolution,[status(thm)],[12888, 12887])).
% 14.81/10.08 tff(12890,plain,
% 14.81/10.08 ((~(v113(constB93) <=> (v114(constB93) | v125(constB93)))) | v113(constB93) | (~(v114(constB93) | v125(constB93)))),
% 14.81/10.08 inference(tautology,[status(thm)],[])).
% 14.81/10.08 tff(12891,plain,
% 14.81/10.08 (v113(constB93)),
% 14.81/10.08 inference(unit_resolution,[status(thm)],[12890, 12889, 590])).
% 14.81/10.08 tff(12892,plain,
% 14.81/10.08 ((~![VarCurr: $i] : ((~v126(VarCurr)) <=> v111(VarCurr))) | ((~v126(constB93)) <=> v111(constB93))),
% 14.81/10.08 inference(quant_inst,[status(thm)],[])).
% 14.81/10.08 tff(12893,plain,
% 14.81/10.08 ((~v126(constB93)) <=> v111(constB93)),
% 14.81/10.08 inference(unit_resolution,[status(thm)],[12892, 5074])).
% 14.81/10.08 tff(12894,plain,
% 14.81/10.08 ((~![VarCurr: $i] : (v111(VarCurr) <=> v26(VarCurr))) | (v111(constB93) <=> v26(constB93))),
% 14.81/10.08 inference(quant_inst,[status(thm)],[])).
% 14.81/10.08 tff(12895,plain,
% 14.81/10.08 (v111(constB93) <=> v26(constB93)),
% 14.81/10.08 inference(unit_resolution,[status(thm)],[12894, 5086])).
% 14.81/10.08 tff(12896,plain,
% 14.81/10.08 ((~![VarCurr: $i] : (~v26(VarCurr))) | (~v26(constB93))),
% 14.81/10.08 inference(quant_inst,[status(thm)],[])).
% 14.81/10.08 tff(12897,plain,
% 14.81/10.08 (~v26(constB93)),
% 14.81/10.08 inference(unit_resolution,[status(thm)],[12896, 5098])).
% 14.81/10.08 tff(12898,plain,
% 14.81/10.08 ((~(v111(constB93) <=> v26(constB93))) | (~v111(constB93)) | v26(constB93)),
% 14.81/10.08 inference(tautology,[status(thm)],[])).
% 14.81/10.08 tff(12899,plain,
% 14.81/10.08 ((~(v111(constB93) <=> v26(constB93))) | (~v111(constB93))),
% 14.81/10.08 inference(unit_resolution,[status(thm)],[12898, 12897])).
% 14.81/10.08 tff(12900,plain,
% 14.81/10.08 (~v111(constB93)),
% 14.81/10.08 inference(unit_resolution,[status(thm)],[12899, 12895])).
% 14.81/10.08 tff(12901,plain,
% 14.81/10.08 ((~((~v126(constB93)) <=> v111(constB93))) | v126(constB93) | v111(constB93)),
% 14.81/10.08 inference(tautology,[status(thm)],[])).
% 14.81/10.08 tff(12902,plain,
% 14.81/10.08 ((~((~v126(constB93)) <=> v111(constB93))) | v126(constB93)),
% 14.81/10.08 inference(unit_resolution,[status(thm)],[12901, 12900])).
% 14.81/10.08 tff(12903,plain,
% 14.81/10.08 (v126(constB93)),
% 14.81/10.08 inference(unit_resolution,[status(thm)],[12902, 12893])).
% 14.81/10.08 tff(12904,plain,
% 14.81/10.08 ((~((~v113(constB93)) | (~v126(constB93)))) | (~v113(constB93)) | (~v126(constB93))),
% 14.81/10.08 inference(tautology,[status(thm)],[])).
% 14.81/10.08 tff(12905,plain,
% 14.81/10.08 ((~((~v113(constB93)) | (~v126(constB93)))) | (~v113(constB93))),
% 14.81/10.08 inference(unit_resolution,[status(thm)],[12904, 12903])).
% 14.81/10.08 tff(12906,plain,
% 14.81/10.08 (~((~v113(constB93)) | (~v126(constB93)))),
% 14.81/10.08 inference(unit_resolution,[status(thm)],[12905, 12891])).
% 14.81/10.08 tff(12907,plain,
% 14.81/10.08 ((~(v112(constB93) <=> (~((~v113(constB93)) | (~v126(constB93)))))) | v112(constB93) | ((~v113(constB93)) | (~v126(constB93)))),
% 14.81/10.08 inference(tautology,[status(thm)],[])).
% 14.81/10.08 tff(12908,plain,
% 14.81/10.08 (v112(constB93)),
% 14.81/10.08 inference(unit_resolution,[status(thm)],[12907, 12906, 581])).
% 14.81/10.08 tff(12909,plain,
% 14.81/10.08 ((v111(constB93) | v112(constB93)) | (~v112(constB93))),
% 14.81/10.08 inference(tautology,[status(thm)],[])).
% 14.81/10.08 tff(12910,plain,
% 14.81/10.08 (v111(constB93) | v112(constB93)),
% 14.81/10.08 inference(unit_resolution,[status(thm)],[12909, 12908])).
% 14.81/10.08 tff(12911,plain,
% 14.81/10.08 ((~(v108(constB93) <=> (v111(constB93) | v112(constB93)))) | v108(constB93) | (~(v111(constB93) | v112(constB93)))),
% 14.81/10.08 inference(tautology,[status(thm)],[])).
% 14.81/10.08 tff(12912,plain,
% 14.81/10.08 (v108(constB93)),
% 14.81/10.08 inference(unit_resolution,[status(thm)],[12911, 12910, 569])).
% 14.81/10.08 tff(12913,plain,
% 14.81/10.08 ((~(v110(constB94) <=> v108(constB93))) | v110(constB94) | (~v108(constB93))),
% 14.81/10.08 inference(tautology,[status(thm)],[])).
% 14.81/10.08 tff(12914,plain,
% 14.81/10.08 (v110(constB94)),
% 14.81/10.08 inference(unit_resolution,[status(thm)],[12913, 12912, 560])).
% 14.81/10.08 tff(12915,plain,
% 14.81/10.08 ((~((~v101(constB94)) | (~v110(constB94)))) | (~v101(constB94)) | (~v110(constB94))),
% 14.81/10.08 inference(tautology,[status(thm)],[])).
% 14.81/10.08 tff(12916,plain,
% 14.81/10.08 (~((~v101(constB94)) | (~v110(constB94)))),
% 14.81/10.08 inference(unit_resolution,[status(thm)],[12915, 12914, 546])).
% 14.81/10.08 tff(12917,plain,
% 14.81/10.08 ((~(v100(constB94) <=> (~((~v101(constB94)) | (~v110(constB94)))))) | v100(constB94) | ((~v101(constB94)) | (~v110(constB94)))),
% 14.81/10.08 inference(tautology,[status(thm)],[])).
% 14.81/10.08 tff(12918,plain,
% 14.81/10.08 (v100(constB94)),
% 14.81/10.08 inference(unit_resolution,[status(thm)],[12917, 12916, 495])).
% 14.81/10.08 tff(12919,plain,
% 14.81/10.08 (((~![VarNext: $i] : ((~v100(VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v129(VarNext, B))))) | ((~v100(constB94)) | ![B: $i] : ((~less_3(B)) | (v90(constB94, B) <=> v129(constB94, B))))) <=> ((~![VarNext: $i] : ((~v100(VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v129(VarNext, B))))) | (~v100(constB94)) | ![B: $i] : ((~less_3(B)) | (v90(constB94, B) <=> v129(constB94, B))))),
% 14.81/10.08 inference(rewrite,[status(thm)],[])).
% 14.81/10.08 tff(12920,plain,
% 14.81/10.08 ((~![VarNext: $i] : ((~v100(VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v129(VarNext, B))))) | ((~v100(constB94)) | ![B: $i] : ((~less_3(B)) | (v90(constB94, B) <=> v129(constB94, B))))),
% 14.81/10.08 inference(quant_inst,[status(thm)],[])).
% 14.81/10.08 tff(12921,plain,
% 14.81/10.08 ((~![VarNext: $i] : ((~v100(VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v129(VarNext, B))))) | (~v100(constB94)) | ![B: $i] : ((~less_3(B)) | (v90(constB94, B) <=> v129(constB94, B)))),
% 14.81/10.08 inference(modus_ponens,[status(thm)],[12920, 12919])).
% 14.81/10.08 tff(12922,plain,
% 14.81/10.08 ((~v100(constB94)) | ![B: $i] : ((~less_3(B)) | (v90(constB94, B) <=> v129(constB94, B)))),
% 14.81/10.08 inference(unit_resolution,[status(thm)],[12921, 5134])).
% 14.81/10.08 tff(12923,plain,
% 14.81/10.08 (![B: $i] : ((~less_3(B)) | (v90(constB94, B) <=> v129(constB94, B)))),
% 14.81/10.08 inference(unit_resolution,[status(thm)],[12922, 12918])).
% 14.81/10.08 tff(12924,plain,
% 14.81/10.08 (((~![B: $i] : ((~less_3(B)) | (v90(constB94, B) <=> v129(constB94, B)))) | ((~less_3(bitIndex2)) | (v90(constB94, bitIndex2) <=> v129(constB94, bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v90(constB94, B) <=> v129(constB94, B)))) | (~less_3(bitIndex2)) | (v90(constB94, bitIndex2) <=> v129(constB94, bitIndex2)))),
% 14.81/10.08 inference(rewrite,[status(thm)],[])).
% 14.81/10.08 tff(12925,plain,
% 14.81/10.08 ((~![B: $i] : ((~less_3(B)) | (v90(constB94, B) <=> v129(constB94, B)))) | ((~less_3(bitIndex2)) | (v90(constB94, bitIndex2) <=> v129(constB94, bitIndex2)))),
% 14.81/10.08 inference(quant_inst,[status(thm)],[])).
% 14.81/10.08 tff(12926,plain,
% 14.81/10.08 ((~![B: $i] : ((~less_3(B)) | (v90(constB94, B) <=> v129(constB94, B)))) | (~less_3(bitIndex2)) | (v90(constB94, bitIndex2) <=> v129(constB94, bitIndex2))),
% 14.81/10.08 inference(modus_ponens,[status(thm)],[12925, 12924])).
% 14.81/10.08 tff(12927,plain,
% 14.81/10.08 (v90(constB94, bitIndex2) <=> v129(constB94, bitIndex2)),
% 14.81/10.08 inference(unit_resolution,[status(thm)],[12926, 413, 12923])).
% 14.81/10.08 tff(12928,plain,
% 14.81/10.08 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v129(VarNext, B) <=> v127(VarCurr, B))))) | ((~nextState(constB93, constB94)) | ![B: $i] : ((~less_3(B)) | (v129(constB94, B) <=> v127(constB93, B))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v129(VarNext, B) <=> v127(VarCurr, B))))) | (~nextState(constB93, constB94)) | ![B: $i] : ((~less_3(B)) | (v129(constB94, B) <=> v127(constB93, B))))),
% 14.81/10.08 inference(rewrite,[status(thm)],[])).
% 14.81/10.08 tff(12929,plain,
% 14.81/10.08 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v129(VarNext, B) <=> v127(VarCurr, B))))) | ((~nextState(constB93, constB94)) | ![B: $i] : ((~less_3(B)) | (v129(constB94, B) <=> v127(constB93, B))))),
% 14.81/10.08 inference(quant_inst,[status(thm)],[])).
% 14.81/10.08 tff(12930,plain,
% 14.81/10.08 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v129(VarNext, B) <=> v127(VarCurr, B))))) | (~nextState(constB93, constB94)) | ![B: $i] : ((~less_3(B)) | (v129(constB94, B) <=> v127(constB93, B)))),
% 14.81/10.08 inference(modus_ponens,[status(thm)],[12929, 12928])).
% 14.81/10.08 tff(12931,plain,
% 14.81/10.08 (![B: $i] : ((~less_3(B)) | (v129(constB94, B) <=> v127(constB93, B)))),
% 14.81/10.08 inference(unit_resolution,[status(thm)],[12930, 491, 5156])).
% 14.81/10.08 tff(12932,plain,
% 14.81/10.08 (((~![B: $i] : ((~less_3(B)) | (v129(constB94, B) <=> v127(constB93, B)))) | ((~less_3(bitIndex2)) | (v129(constB94, bitIndex2) <=> v127(constB93, bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v129(constB94, B) <=> v127(constB93, B)))) | (~less_3(bitIndex2)) | (v129(constB94, bitIndex2) <=> v127(constB93, bitIndex2)))),
% 14.81/10.08 inference(rewrite,[status(thm)],[])).
% 14.81/10.08 tff(12933,plain,
% 14.81/10.08 ((~![B: $i] : ((~less_3(B)) | (v129(constB94, B) <=> v127(constB93, B)))) | ((~less_3(bitIndex2)) | (v129(constB94, bitIndex2) <=> v127(constB93, bitIndex2)))),
% 14.81/10.08 inference(quant_inst,[status(thm)],[])).
% 14.81/10.08 tff(12934,plain,
% 14.81/10.08 ((~![B: $i] : ((~less_3(B)) | (v129(constB94, B) <=> v127(constB93, B)))) | (~less_3(bitIndex2)) | (v129(constB94, bitIndex2) <=> v127(constB93, bitIndex2))),
% 14.81/10.08 inference(modus_ponens,[status(thm)],[12933, 12932])).
% 14.81/10.08 tff(12935,plain,
% 14.81/10.08 (v129(constB94, bitIndex2) <=> v127(constB93, bitIndex2)),
% 14.81/10.08 inference(unit_resolution,[status(thm)],[12934, 413, 12931])).
% 14.81/10.08 tff(12936,plain,
% 14.81/10.08 (((~![VarCurr: $i] : (v111(VarCurr) | ![B: $i] : ((~less_3(B)) | (v127(VarCurr, B) <=> v130(VarCurr, B))))) | (v111(constB93) | ![B: $i] : ((~less_3(B)) | (v127(constB93, B) <=> v130(constB93, B))))) <=> ((~![VarCurr: $i] : (v111(VarCurr) | ![B: $i] : ((~less_3(B)) | (v127(VarCurr, B) <=> v130(VarCurr, B))))) | v111(constB93) | ![B: $i] : ((~less_3(B)) | (v127(constB93, B) <=> v130(constB93, B))))),
% 14.81/10.08 inference(rewrite,[status(thm)],[])).
% 14.81/10.08 tff(12937,plain,
% 14.81/10.08 ((~![VarCurr: $i] : (v111(VarCurr) | ![B: $i] : ((~less_3(B)) | (v127(VarCurr, B) <=> v130(VarCurr, B))))) | (v111(constB93) | ![B: $i] : ((~less_3(B)) | (v127(constB93, B) <=> v130(constB93, B))))),
% 14.81/10.08 inference(quant_inst,[status(thm)],[])).
% 14.81/10.08 tff(12938,plain,
% 14.81/10.08 ((~![VarCurr: $i] : (v111(VarCurr) | ![B: $i] : ((~less_3(B)) | (v127(VarCurr, B) <=> v130(VarCurr, B))))) | v111(constB93) | ![B: $i] : ((~less_3(B)) | (v127(constB93, B) <=> v130(constB93, B)))),
% 14.81/10.08 inference(modus_ponens,[status(thm)],[12937, 12936])).
% 14.81/10.08 tff(12939,plain,
% 14.81/10.08 (![B: $i] : ((~less_3(B)) | (v127(constB93, B) <=> v130(constB93, B)))),
% 14.81/10.08 inference(unit_resolution,[status(thm)],[12938, 5177, 12900])).
% 14.81/10.08 tff(12940,plain,
% 14.81/10.08 (((~![B: $i] : ((~less_3(B)) | (v127(constB93, B) <=> v130(constB93, B)))) | ((~less_3(bitIndex2)) | (v127(constB93, bitIndex2) <=> v130(constB93, bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v127(constB93, B) <=> v130(constB93, B)))) | (~less_3(bitIndex2)) | (v127(constB93, bitIndex2) <=> v130(constB93, bitIndex2)))),
% 14.81/10.08 inference(rewrite,[status(thm)],[])).
% 14.81/10.08 tff(12941,plain,
% 14.81/10.08 ((~![B: $i] : ((~less_3(B)) | (v127(constB93, B) <=> v130(constB93, B)))) | ((~less_3(bitIndex2)) | (v127(constB93, bitIndex2) <=> v130(constB93, bitIndex2)))),
% 14.81/10.08 inference(quant_inst,[status(thm)],[])).
% 14.81/10.08 tff(12942,plain,
% 14.81/10.08 ((~![B: $i] : ((~less_3(B)) | (v127(constB93, B) <=> v130(constB93, B)))) | (~less_3(bitIndex2)) | (v127(constB93, bitIndex2) <=> v130(constB93, bitIndex2))),
% 14.81/10.08 inference(modus_ponens,[status(thm)],[12941, 12940])).
% 14.81/10.08 tff(12943,plain,
% 14.81/10.08 (v127(constB93, bitIndex2) <=> v130(constB93, bitIndex2)),
% 14.81/10.08 inference(unit_resolution,[status(thm)],[12942, 413, 12939])).
% 14.81/10.08 tff(12944,plain,
% 14.81/10.08 (((~![VarCurr: $i] : ((~v123(VarCurr)) | ![B: $i] : ((~less_3(B)) | (v130(VarCurr, B) <=> b110(B))))) | ((~v123(constB93)) | ![B: $i] : ((~less_3(B)) | (v130(constB93, B) <=> b110(B))))) <=> ((~![VarCurr: $i] : ((~v123(VarCurr)) | ![B: $i] : ((~less_3(B)) | (v130(VarCurr, B) <=> b110(B))))) | (~v123(constB93)) | ![B: $i] : ((~less_3(B)) | (v130(constB93, B) <=> b110(B))))),
% 14.81/10.08 inference(rewrite,[status(thm)],[])).
% 14.81/10.08 tff(12945,plain,
% 14.81/10.08 ((~![VarCurr: $i] : ((~v123(VarCurr)) | ![B: $i] : ((~less_3(B)) | (v130(VarCurr, B) <=> b110(B))))) | ((~v123(constB93)) | ![B: $i] : ((~less_3(B)) | (v130(constB93, B) <=> b110(B))))),
% 14.81/10.08 inference(quant_inst,[status(thm)],[])).
% 14.81/10.08 tff(12946,plain,
% 14.81/10.08 ((~![VarCurr: $i] : ((~v123(VarCurr)) | ![B: $i] : ((~less_3(B)) | (v130(VarCurr, B) <=> b110(B))))) | (~v123(constB93)) | ![B: $i] : ((~less_3(B)) | (v130(constB93, B) <=> b110(B)))),
% 14.81/10.08 inference(modus_ponens,[status(thm)],[12945, 12944])).
% 14.81/10.08 tff(12947,plain,
% 14.81/10.08 ((~v123(constB93)) | ![B: $i] : ((~less_3(B)) | (v130(constB93, B) <=> b110(B)))),
% 14.81/10.08 inference(unit_resolution,[status(thm)],[12946, 5369])).
% 14.81/10.08 tff(12948,plain,
% 14.81/10.08 (![B: $i] : ((~less_3(B)) | (v130(constB93, B) <=> b110(B)))),
% 14.81/10.08 inference(unit_resolution,[status(thm)],[12947, 12879])).
% 14.81/10.08 tff(12949,plain,
% 14.81/10.08 (((~![B: $i] : ((~less_3(B)) | (v130(constB93, B) <=> b110(B)))) | ((~less_3(bitIndex2)) | (v130(constB93, bitIndex2) <=> b110(bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v130(constB93, B) <=> b110(B)))) | (~less_3(bitIndex2)) | (v130(constB93, bitIndex2) <=> b110(bitIndex2)))),
% 14.81/10.08 inference(rewrite,[status(thm)],[])).
% 14.81/10.08 tff(12950,plain,
% 14.81/10.08 ((~![B: $i] : ((~less_3(B)) | (v130(constB93, B) <=> b110(B)))) | ((~less_3(bitIndex2)) | (v130(constB93, bitIndex2) <=> b110(bitIndex2)))),
% 14.81/10.08 inference(quant_inst,[status(thm)],[])).
% 14.81/10.08 tff(12951,plain,
% 14.81/10.08 ((~![B: $i] : ((~less_3(B)) | (v130(constB93, B) <=> b110(B)))) | (~less_3(bitIndex2)) | (v130(constB93, bitIndex2) <=> b110(bitIndex2))),
% 14.81/10.08 inference(modus_ponens,[status(thm)],[12950, 12949])).
% 14.81/10.08 tff(12952,plain,
% 14.81/10.08 (v130(constB93, bitIndex2) <=> b110(bitIndex2)),
% 14.81/10.08 inference(unit_resolution,[status(thm)],[12951, 413, 12948])).
% 14.81/10.08 tff(12953,plain,
% 14.81/10.08 ((~(v130(constB93, bitIndex2) <=> b110(bitIndex2))) | v130(constB93, bitIndex2) | (~b110(bitIndex2))),
% 14.81/10.08 inference(tautology,[status(thm)],[])).
% 14.81/10.08 tff(12954,plain,
% 14.81/10.08 ((~(v130(constB93, bitIndex2) <=> b110(bitIndex2))) | v130(constB93, bitIndex2)),
% 14.81/10.08 inference(unit_resolution,[status(thm)],[12953, 5381])).
% 14.81/10.08 tff(12955,plain,
% 14.81/10.08 (v130(constB93, bitIndex2)),
% 14.81/10.08 inference(unit_resolution,[status(thm)],[12954, 12952])).
% 14.81/10.08 tff(12956,plain,
% 14.81/10.08 ((~(v127(constB93, bitIndex2) <=> v130(constB93, bitIndex2))) | v127(constB93, bitIndex2) | (~v130(constB93, bitIndex2))),
% 14.81/10.08 inference(tautology,[status(thm)],[])).
% 14.81/10.08 tff(12957,plain,
% 14.81/10.08 (v127(constB93, bitIndex2)),
% 14.81/10.08 inference(unit_resolution,[status(thm)],[12956, 12955, 12943])).
% 14.81/10.08 tff(12958,plain,
% 14.81/10.08 ((~(v129(constB94, bitIndex2) <=> v127(constB93, bitIndex2))) | v129(constB94, bitIndex2) | (~v127(constB93, bitIndex2))),
% 14.81/10.08 inference(tautology,[status(thm)],[])).
% 14.81/10.08 tff(12959,plain,
% 14.81/10.08 (v129(constB94, bitIndex2)),
% 14.81/10.08 inference(unit_resolution,[status(thm)],[12958, 12957, 12935])).
% 14.81/10.08 tff(12960,plain,
% 14.81/10.08 ((~(v90(constB94, bitIndex2) <=> v129(constB94, bitIndex2))) | v90(constB94, bitIndex2) | (~v129(constB94, bitIndex2))),
% 14.81/10.08 inference(tautology,[status(thm)],[])).
% 14.81/10.08 tff(12961,plain,
% 14.81/10.08 (v90(constB94, bitIndex2)),
% 14.81/10.08 inference(unit_resolution,[status(thm)],[12960, 12959, 12927])).
% 14.81/10.08 tff(12962,plain,
% 14.81/10.08 ((~(v90(constB95, bitIndex2) <=> v90(constB94, bitIndex2))) | v90(constB95, bitIndex2) | (~v90(constB94, bitIndex2))),
% 14.81/10.08 inference(tautology,[status(thm)],[])).
% 14.81/10.08 tff(12963,plain,
% 14.81/10.08 (v90(constB95, bitIndex2)),
% 14.81/10.08 inference(unit_resolution,[status(thm)],[12962, 12961, 488])).
% 14.81/10.08 tff(12964,plain,
% 14.81/10.08 ((~(v88(constB95, bitIndex2) <=> v90(constB95, bitIndex2))) | v88(constB95, bitIndex2) | (~v90(constB95, bitIndex2))),
% 14.81/10.08 inference(tautology,[status(thm)],[])).
% 14.81/10.08 tff(12965,plain,
% 14.81/10.08 (v88(constB95, bitIndex2)),
% 14.81/10.08 inference(unit_resolution,[status(thm)],[12964, 12963, 417])).
% 14.81/10.08 tff(12966,plain,
% 14.81/10.08 (((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | ((~less_3(bitIndex0)) | (v88(constB95, bitIndex0) <=> v90(constB95, bitIndex0)))) <=> ((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | (~less_3(bitIndex0)) | (v88(constB95, bitIndex0) <=> v90(constB95, bitIndex0)))),
% 14.81/10.08 inference(rewrite,[status(thm)],[])).
% 14.81/10.08 tff(12967,plain,
% 14.81/10.08 ((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | ((~less_3(bitIndex0)) | (v88(constB95, bitIndex0) <=> v90(constB95, bitIndex0)))),
% 14.81/10.08 inference(quant_inst,[status(thm)],[])).
% 14.81/10.08 tff(12968,plain,
% 14.81/10.08 ((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | (~less_3(bitIndex0)) | (v88(constB95, bitIndex0) <=> v90(constB95, bitIndex0))),
% 14.81/10.08 inference(modus_ponens,[status(thm)],[12967, 12966])).
% 14.81/10.08 tff(12969,plain,
% 14.81/10.08 (v88(constB95, bitIndex0) <=> v90(constB95, bitIndex0)),
% 14.81/10.08 inference(unit_resolution,[status(thm)],[12968, 5004, 410])).
% 14.81/10.08 tff(12970,plain,
% 14.81/10.08 (((~![B: $i] : ((~less_3(B)) | (v90(constB95, B) <=> v90(constB94, B)))) | ((~less_3(bitIndex0)) | (v90(constB95, bitIndex0) <=> v90(constB94, bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v90(constB95, B) <=> v90(constB94, B)))) | (~less_3(bitIndex0)) | (v90(constB95, bitIndex0) <=> v90(constB94, bitIndex0)))),
% 14.81/10.09 inference(rewrite,[status(thm)],[])).
% 14.81/10.09 tff(12971,plain,
% 14.81/10.09 ((~![B: $i] : ((~less_3(B)) | (v90(constB95, B) <=> v90(constB94, B)))) | ((~less_3(bitIndex0)) | (v90(constB95, bitIndex0) <=> v90(constB94, bitIndex0)))),
% 14.81/10.09 inference(quant_inst,[status(thm)],[])).
% 14.81/10.09 tff(12972,plain,
% 14.81/10.09 ((~![B: $i] : ((~less_3(B)) | (v90(constB95, B) <=> v90(constB94, B)))) | (~less_3(bitIndex0)) | (v90(constB95, bitIndex0) <=> v90(constB94, bitIndex0))),
% 14.81/10.09 inference(modus_ponens,[status(thm)],[12971, 12970])).
% 14.81/10.09 tff(12973,plain,
% 14.81/10.09 (v90(constB95, bitIndex0) <=> v90(constB94, bitIndex0)),
% 14.81/10.09 inference(unit_resolution,[status(thm)],[12972, 5004, 484])).
% 14.81/10.09 tff(12974,plain,
% 14.81/10.09 (((~![B: $i] : ((~less_3(B)) | (v90(constB94, B) <=> v129(constB94, B)))) | ((~less_3(bitIndex0)) | (v90(constB94, bitIndex0) <=> v129(constB94, bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v90(constB94, B) <=> v129(constB94, B)))) | (~less_3(bitIndex0)) | (v90(constB94, bitIndex0) <=> v129(constB94, bitIndex0)))),
% 14.81/10.09 inference(rewrite,[status(thm)],[])).
% 14.81/10.09 tff(12975,plain,
% 14.81/10.09 ((~![B: $i] : ((~less_3(B)) | (v90(constB94, B) <=> v129(constB94, B)))) | ((~less_3(bitIndex0)) | (v90(constB94, bitIndex0) <=> v129(constB94, bitIndex0)))),
% 14.81/10.09 inference(quant_inst,[status(thm)],[])).
% 14.81/10.09 tff(12976,plain,
% 14.81/10.09 ((~![B: $i] : ((~less_3(B)) | (v90(constB94, B) <=> v129(constB94, B)))) | (~less_3(bitIndex0)) | (v90(constB94, bitIndex0) <=> v129(constB94, bitIndex0))),
% 14.81/10.09 inference(modus_ponens,[status(thm)],[12975, 12974])).
% 14.81/10.09 tff(12977,plain,
% 14.81/10.09 (v90(constB94, bitIndex0) <=> v129(constB94, bitIndex0)),
% 14.81/10.09 inference(unit_resolution,[status(thm)],[12976, 5004, 12923])).
% 14.81/10.09 tff(12978,plain,
% 14.81/10.09 (((~![B: $i] : ((~less_3(B)) | (v129(constB94, B) <=> v127(constB93, B)))) | ((~less_3(bitIndex0)) | (v129(constB94, bitIndex0) <=> v127(constB93, bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v129(constB94, B) <=> v127(constB93, B)))) | (~less_3(bitIndex0)) | (v129(constB94, bitIndex0) <=> v127(constB93, bitIndex0)))),
% 14.81/10.09 inference(rewrite,[status(thm)],[])).
% 14.81/10.09 tff(12979,plain,
% 14.81/10.09 ((~![B: $i] : ((~less_3(B)) | (v129(constB94, B) <=> v127(constB93, B)))) | ((~less_3(bitIndex0)) | (v129(constB94, bitIndex0) <=> v127(constB93, bitIndex0)))),
% 14.81/10.09 inference(quant_inst,[status(thm)],[])).
% 14.81/10.09 tff(12980,plain,
% 14.81/10.09 ((~![B: $i] : ((~less_3(B)) | (v129(constB94, B) <=> v127(constB93, B)))) | (~less_3(bitIndex0)) | (v129(constB94, bitIndex0) <=> v127(constB93, bitIndex0))),
% 14.81/10.09 inference(modus_ponens,[status(thm)],[12979, 12978])).
% 14.81/10.09 tff(12981,plain,
% 14.81/10.09 (v129(constB94, bitIndex0) <=> v127(constB93, bitIndex0)),
% 14.81/10.09 inference(unit_resolution,[status(thm)],[12980, 5004, 12931])).
% 14.81/10.09 tff(12982,plain,
% 14.81/10.09 (((~![B: $i] : ((~less_3(B)) | (v127(constB93, B) <=> v130(constB93, B)))) | ((~less_3(bitIndex0)) | (v127(constB93, bitIndex0) <=> v130(constB93, bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v127(constB93, B) <=> v130(constB93, B)))) | (~less_3(bitIndex0)) | (v127(constB93, bitIndex0) <=> v130(constB93, bitIndex0)))),
% 14.81/10.09 inference(rewrite,[status(thm)],[])).
% 14.81/10.09 tff(12983,plain,
% 14.81/10.09 ((~![B: $i] : ((~less_3(B)) | (v127(constB93, B) <=> v130(constB93, B)))) | ((~less_3(bitIndex0)) | (v127(constB93, bitIndex0) <=> v130(constB93, bitIndex0)))),
% 14.81/10.09 inference(quant_inst,[status(thm)],[])).
% 14.81/10.09 tff(12984,plain,
% 14.81/10.09 ((~![B: $i] : ((~less_3(B)) | (v127(constB93, B) <=> v130(constB93, B)))) | (~less_3(bitIndex0)) | (v127(constB93, bitIndex0) <=> v130(constB93, bitIndex0))),
% 14.81/10.09 inference(modus_ponens,[status(thm)],[12983, 12982])).
% 14.81/10.09 tff(12985,plain,
% 14.81/10.09 (v127(constB93, bitIndex0) <=> v130(constB93, bitIndex0)),
% 14.81/10.09 inference(unit_resolution,[status(thm)],[12984, 5004, 12939])).
% 14.81/10.09 tff(12986,plain,
% 14.81/10.09 (((~![B: $i] : ((~less_3(B)) | (v130(constB93, B) <=> b110(B)))) | ((~less_3(bitIndex0)) | (v130(constB93, bitIndex0) <=> b110(bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v130(constB93, B) <=> b110(B)))) | (~less_3(bitIndex0)) | (v130(constB93, bitIndex0) <=> b110(bitIndex0)))),
% 14.81/10.09 inference(rewrite,[status(thm)],[])).
% 14.81/10.09 tff(12987,plain,
% 14.81/10.09 ((~![B: $i] : ((~less_3(B)) | (v130(constB93, B) <=> b110(B)))) | ((~less_3(bitIndex0)) | (v130(constB93, bitIndex0) <=> b110(bitIndex0)))),
% 14.81/10.09 inference(quant_inst,[status(thm)],[])).
% 14.81/10.09 tff(12988,plain,
% 14.81/10.09 ((~![B: $i] : ((~less_3(B)) | (v130(constB93, B) <=> b110(B)))) | (~less_3(bitIndex0)) | (v130(constB93, bitIndex0) <=> b110(bitIndex0))),
% 14.81/10.09 inference(modus_ponens,[status(thm)],[12987, 12986])).
% 14.81/10.09 tff(12989,plain,
% 14.81/10.09 (v130(constB93, bitIndex0) <=> b110(bitIndex0)),
% 14.81/10.09 inference(unit_resolution,[status(thm)],[12988, 5004, 12948])).
% 14.81/10.09 tff(12990,plain,
% 14.81/10.09 ((~(v130(constB93, bitIndex0) <=> b110(bitIndex0))) | (~v130(constB93, bitIndex0)) | b110(bitIndex0)),
% 14.81/10.09 inference(tautology,[status(thm)],[])).
% 14.81/10.09 tff(12991,plain,
% 14.81/10.09 ((~(v130(constB93, bitIndex0) <=> b110(bitIndex0))) | (~v130(constB93, bitIndex0))),
% 14.81/10.09 inference(unit_resolution,[status(thm)],[12990, 5415])).
% 14.81/10.09 tff(12992,plain,
% 14.81/10.09 (~v130(constB93, bitIndex0)),
% 14.81/10.09 inference(unit_resolution,[status(thm)],[12991, 12989])).
% 14.81/10.09 tff(12993,plain,
% 14.81/10.09 ((~(v127(constB93, bitIndex0) <=> v130(constB93, bitIndex0))) | (~v127(constB93, bitIndex0)) | v130(constB93, bitIndex0)),
% 14.81/10.09 inference(tautology,[status(thm)],[])).
% 14.81/10.09 tff(12994,plain,
% 14.81/10.09 (~v127(constB93, bitIndex0)),
% 14.81/10.09 inference(unit_resolution,[status(thm)],[12993, 12992, 12985])).
% 14.81/10.09 tff(12995,plain,
% 14.81/10.09 ((~(v129(constB94, bitIndex0) <=> v127(constB93, bitIndex0))) | (~v129(constB94, bitIndex0)) | v127(constB93, bitIndex0)),
% 14.81/10.09 inference(tautology,[status(thm)],[])).
% 14.81/10.09 tff(12996,plain,
% 14.81/10.09 (~v129(constB94, bitIndex0)),
% 14.81/10.09 inference(unit_resolution,[status(thm)],[12995, 12994, 12981])).
% 14.81/10.09 tff(12997,plain,
% 14.81/10.09 ((~(v90(constB94, bitIndex0) <=> v129(constB94, bitIndex0))) | (~v90(constB94, bitIndex0)) | v129(constB94, bitIndex0)),
% 14.81/10.09 inference(tautology,[status(thm)],[])).
% 14.81/10.09 tff(12998,plain,
% 14.81/10.09 (~v90(constB94, bitIndex0)),
% 14.81/10.09 inference(unit_resolution,[status(thm)],[12997, 12996, 12977])).
% 14.81/10.09 tff(12999,plain,
% 14.81/10.09 ((~(v90(constB95, bitIndex0) <=> v90(constB94, bitIndex0))) | (~v90(constB95, bitIndex0)) | v90(constB94, bitIndex0)),
% 14.81/10.09 inference(tautology,[status(thm)],[])).
% 14.81/10.09 tff(13000,plain,
% 14.81/10.09 (~v90(constB95, bitIndex0)),
% 14.81/10.09 inference(unit_resolution,[status(thm)],[12999, 12998, 12973])).
% 14.81/10.09 tff(13001,plain,
% 14.81/10.09 ((~(v88(constB95, bitIndex0) <=> v90(constB95, bitIndex0))) | (~v88(constB95, bitIndex0)) | v90(constB95, bitIndex0)),
% 14.81/10.09 inference(tautology,[status(thm)],[])).
% 14.81/10.09 tff(13002,plain,
% 14.81/10.09 (~v88(constB95, bitIndex0)),
% 14.81/10.09 inference(unit_resolution,[status(thm)],[13001, 13000, 12969])).
% 14.81/10.09 tff(13003,plain,
% 14.81/10.09 (((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | ((~less_3(bitIndex1)) | (v88(constB95, bitIndex1) <=> v90(constB95, bitIndex1)))) <=> ((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | (~less_3(bitIndex1)) | (v88(constB95, bitIndex1) <=> v90(constB95, bitIndex1)))),
% 14.81/10.09 inference(rewrite,[status(thm)],[])).
% 14.81/10.09 tff(13004,plain,
% 14.81/10.09 ((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | ((~less_3(bitIndex1)) | (v88(constB95, bitIndex1) <=> v90(constB95, bitIndex1)))),
% 14.81/10.09 inference(quant_inst,[status(thm)],[])).
% 14.81/10.09 tff(13005,plain,
% 14.81/10.09 ((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | (~less_3(bitIndex1)) | (v88(constB95, bitIndex1) <=> v90(constB95, bitIndex1))),
% 14.81/10.09 inference(modus_ponens,[status(thm)],[13004, 13003])).
% 14.81/10.09 tff(13006,plain,
% 14.81/10.09 (v88(constB95, bitIndex1) <=> v90(constB95, bitIndex1)),
% 14.81/10.09 inference(unit_resolution,[status(thm)],[13005, 5017, 410])).
% 14.81/10.09 tff(13007,plain,
% 14.81/10.09 (((~![B: $i] : ((~less_3(B)) | (v90(constB95, B) <=> v90(constB94, B)))) | ((~less_3(bitIndex1)) | (v90(constB95, bitIndex1) <=> v90(constB94, bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v90(constB95, B) <=> v90(constB94, B)))) | (~less_3(bitIndex1)) | (v90(constB95, bitIndex1) <=> v90(constB94, bitIndex1)))),
% 14.81/10.09 inference(rewrite,[status(thm)],[])).
% 14.81/10.09 tff(13008,plain,
% 14.81/10.09 ((~![B: $i] : ((~less_3(B)) | (v90(constB95, B) <=> v90(constB94, B)))) | ((~less_3(bitIndex1)) | (v90(constB95, bitIndex1) <=> v90(constB94, bitIndex1)))),
% 14.81/10.09 inference(quant_inst,[status(thm)],[])).
% 14.81/10.09 tff(13009,plain,
% 14.81/10.09 ((~![B: $i] : ((~less_3(B)) | (v90(constB95, B) <=> v90(constB94, B)))) | (~less_3(bitIndex1)) | (v90(constB95, bitIndex1) <=> v90(constB94, bitIndex1))),
% 14.81/10.09 inference(modus_ponens,[status(thm)],[13008, 13007])).
% 14.81/10.09 tff(13010,plain,
% 14.81/10.09 (v90(constB95, bitIndex1) <=> v90(constB94, bitIndex1)),
% 14.81/10.09 inference(unit_resolution,[status(thm)],[13009, 5017, 484])).
% 14.81/10.09 tff(13011,plain,
% 14.81/10.09 (((~![B: $i] : ((~less_3(B)) | (v90(constB94, B) <=> v129(constB94, B)))) | ((~less_3(bitIndex1)) | (v90(constB94, bitIndex1) <=> v129(constB94, bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v90(constB94, B) <=> v129(constB94, B)))) | (~less_3(bitIndex1)) | (v90(constB94, bitIndex1) <=> v129(constB94, bitIndex1)))),
% 14.81/10.09 inference(rewrite,[status(thm)],[])).
% 14.81/10.09 tff(13012,plain,
% 14.81/10.09 ((~![B: $i] : ((~less_3(B)) | (v90(constB94, B) <=> v129(constB94, B)))) | ((~less_3(bitIndex1)) | (v90(constB94, bitIndex1) <=> v129(constB94, bitIndex1)))),
% 14.81/10.09 inference(quant_inst,[status(thm)],[])).
% 14.81/10.09 tff(13013,plain,
% 14.81/10.09 ((~![B: $i] : ((~less_3(B)) | (v90(constB94, B) <=> v129(constB94, B)))) | (~less_3(bitIndex1)) | (v90(constB94, bitIndex1) <=> v129(constB94, bitIndex1))),
% 14.81/10.09 inference(modus_ponens,[status(thm)],[13012, 13011])).
% 14.81/10.09 tff(13014,plain,
% 14.81/10.09 (v90(constB94, bitIndex1) <=> v129(constB94, bitIndex1)),
% 14.81/10.09 inference(unit_resolution,[status(thm)],[13013, 5017, 12923])).
% 14.81/10.09 tff(13015,plain,
% 14.81/10.09 (((~![B: $i] : ((~less_3(B)) | (v129(constB94, B) <=> v127(constB93, B)))) | ((~less_3(bitIndex1)) | (v129(constB94, bitIndex1) <=> v127(constB93, bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v129(constB94, B) <=> v127(constB93, B)))) | (~less_3(bitIndex1)) | (v129(constB94, bitIndex1) <=> v127(constB93, bitIndex1)))),
% 14.81/10.09 inference(rewrite,[status(thm)],[])).
% 14.81/10.09 tff(13016,plain,
% 14.81/10.09 ((~![B: $i] : ((~less_3(B)) | (v129(constB94, B) <=> v127(constB93, B)))) | ((~less_3(bitIndex1)) | (v129(constB94, bitIndex1) <=> v127(constB93, bitIndex1)))),
% 14.81/10.09 inference(quant_inst,[status(thm)],[])).
% 14.81/10.09 tff(13017,plain,
% 14.81/10.09 ((~![B: $i] : ((~less_3(B)) | (v129(constB94, B) <=> v127(constB93, B)))) | (~less_3(bitIndex1)) | (v129(constB94, bitIndex1) <=> v127(constB93, bitIndex1))),
% 14.81/10.09 inference(modus_ponens,[status(thm)],[13016, 13015])).
% 14.81/10.09 tff(13018,plain,
% 14.81/10.09 (v129(constB94, bitIndex1) <=> v127(constB93, bitIndex1)),
% 14.81/10.09 inference(unit_resolution,[status(thm)],[13017, 5017, 12931])).
% 14.81/10.09 tff(13019,plain,
% 14.81/10.09 (((~![B: $i] : ((~less_3(B)) | (v127(constB93, B) <=> v130(constB93, B)))) | ((~less_3(bitIndex1)) | (v127(constB93, bitIndex1) <=> v130(constB93, bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v127(constB93, B) <=> v130(constB93, B)))) | (~less_3(bitIndex1)) | (v127(constB93, bitIndex1) <=> v130(constB93, bitIndex1)))),
% 14.81/10.09 inference(rewrite,[status(thm)],[])).
% 14.81/10.09 tff(13020,plain,
% 14.81/10.09 ((~![B: $i] : ((~less_3(B)) | (v127(constB93, B) <=> v130(constB93, B)))) | ((~less_3(bitIndex1)) | (v127(constB93, bitIndex1) <=> v130(constB93, bitIndex1)))),
% 14.81/10.09 inference(quant_inst,[status(thm)],[])).
% 14.81/10.09 tff(13021,plain,
% 14.81/10.09 ((~![B: $i] : ((~less_3(B)) | (v127(constB93, B) <=> v130(constB93, B)))) | (~less_3(bitIndex1)) | (v127(constB93, bitIndex1) <=> v130(constB93, bitIndex1))),
% 14.81/10.09 inference(modus_ponens,[status(thm)],[13020, 13019])).
% 14.81/10.09 tff(13022,plain,
% 14.81/10.09 (v127(constB93, bitIndex1) <=> v130(constB93, bitIndex1)),
% 14.81/10.09 inference(unit_resolution,[status(thm)],[13021, 5017, 12939])).
% 14.81/10.09 tff(13023,plain,
% 14.81/10.09 (((~![B: $i] : ((~less_3(B)) | (v130(constB93, B) <=> b110(B)))) | ((~less_3(bitIndex1)) | (v130(constB93, bitIndex1) <=> b110(bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v130(constB93, B) <=> b110(B)))) | (~less_3(bitIndex1)) | (v130(constB93, bitIndex1) <=> b110(bitIndex1)))),
% 14.81/10.09 inference(rewrite,[status(thm)],[])).
% 14.81/10.09 tff(13024,plain,
% 14.81/10.09 ((~![B: $i] : ((~less_3(B)) | (v130(constB93, B) <=> b110(B)))) | ((~less_3(bitIndex1)) | (v130(constB93, bitIndex1) <=> b110(bitIndex1)))),
% 14.81/10.09 inference(quant_inst,[status(thm)],[])).
% 14.81/10.09 tff(13025,plain,
% 14.81/10.09 ((~![B: $i] : ((~less_3(B)) | (v130(constB93, B) <=> b110(B)))) | (~less_3(bitIndex1)) | (v130(constB93, bitIndex1) <=> b110(bitIndex1))),
% 14.81/10.09 inference(modus_ponens,[status(thm)],[13024, 13023])).
% 14.81/10.10 tff(13026,plain,
% 14.81/10.10 (v130(constB93, bitIndex1) <=> b110(bitIndex1)),
% 14.81/10.10 inference(unit_resolution,[status(thm)],[13025, 5017, 12948])).
% 14.81/10.10 tff(13027,plain,
% 14.81/10.10 ((~(v130(constB93, bitIndex1) <=> b110(bitIndex1))) | v130(constB93, bitIndex1) | (~b110(bitIndex1))),
% 14.81/10.10 inference(tautology,[status(thm)],[])).
% 14.81/10.10 tff(13028,plain,
% 14.81/10.10 ((~(v130(constB93, bitIndex1) <=> b110(bitIndex1))) | v130(constB93, bitIndex1)),
% 14.81/10.10 inference(unit_resolution,[status(thm)],[13027, 5449])).
% 14.81/10.10 tff(13029,plain,
% 14.81/10.10 (v130(constB93, bitIndex1)),
% 14.81/10.10 inference(unit_resolution,[status(thm)],[13028, 13026])).
% 14.81/10.10 tff(13030,plain,
% 14.81/10.10 ((~(v127(constB93, bitIndex1) <=> v130(constB93, bitIndex1))) | v127(constB93, bitIndex1) | (~v130(constB93, bitIndex1))),
% 14.81/10.10 inference(tautology,[status(thm)],[])).
% 14.81/10.10 tff(13031,plain,
% 14.81/10.10 (v127(constB93, bitIndex1)),
% 14.81/10.10 inference(unit_resolution,[status(thm)],[13030, 13029, 13022])).
% 14.81/10.10 tff(13032,plain,
% 14.81/10.10 ((~(v129(constB94, bitIndex1) <=> v127(constB93, bitIndex1))) | v129(constB94, bitIndex1) | (~v127(constB93, bitIndex1))),
% 14.81/10.10 inference(tautology,[status(thm)],[])).
% 14.81/10.10 tff(13033,plain,
% 14.81/10.10 (v129(constB94, bitIndex1)),
% 14.81/10.10 inference(unit_resolution,[status(thm)],[13032, 13031, 13018])).
% 14.81/10.10 tff(13034,plain,
% 14.81/10.10 ((~(v90(constB94, bitIndex1) <=> v129(constB94, bitIndex1))) | v90(constB94, bitIndex1) | (~v129(constB94, bitIndex1))),
% 14.81/10.10 inference(tautology,[status(thm)],[])).
% 14.81/10.10 tff(13035,plain,
% 14.81/10.10 (v90(constB94, bitIndex1)),
% 14.81/10.10 inference(unit_resolution,[status(thm)],[13034, 13033, 13014])).
% 14.81/10.10 tff(13036,plain,
% 14.81/10.10 ((~(v90(constB95, bitIndex1) <=> v90(constB94, bitIndex1))) | v90(constB95, bitIndex1) | (~v90(constB94, bitIndex1))),
% 14.81/10.10 inference(tautology,[status(thm)],[])).
% 14.81/10.10 tff(13037,plain,
% 14.81/10.10 (v90(constB95, bitIndex1)),
% 14.81/10.10 inference(unit_resolution,[status(thm)],[13036, 13035, 13010])).
% 14.81/10.10 tff(13038,plain,
% 14.81/10.10 ((~(v88(constB95, bitIndex1) <=> v90(constB95, bitIndex1))) | v88(constB95, bitIndex1) | (~v90(constB95, bitIndex1))),
% 14.81/10.10 inference(tautology,[status(thm)],[])).
% 14.81/10.10 tff(13039,plain,
% 14.81/10.10 (v88(constB95, bitIndex1)),
% 14.81/10.10 inference(unit_resolution,[status(thm)],[13038, 13037, 13006])).
% 14.81/10.10 tff(13040,plain,
% 14.81/10.10 ((~((~v88(constB95, bitIndex2)) | (~v88(constB95, bitIndex1)) | v88(constB95, bitIndex0))) | (~v88(constB95, bitIndex2)) | (~v88(constB95, bitIndex1)) | v88(constB95, bitIndex0)),
% 14.81/10.10 inference(tautology,[status(thm)],[])).
% 14.81/10.10 tff(13041,plain,
% 14.81/10.10 (~((~v88(constB95, bitIndex2)) | (~v88(constB95, bitIndex1)) | v88(constB95, bitIndex0))),
% 14.81/10.10 inference(unit_resolution,[status(thm)],[13040, 13039, 13002, 12965])).
% 14.81/10.10 tff(13042,plain,
% 14.81/10.10 ((~(v144(constB95) <=> (~((~v88(constB95, bitIndex2)) | (~v88(constB95, bitIndex1)) | v88(constB95, bitIndex0))))) | v144(constB95) | ((~v88(constB95, bitIndex2)) | (~v88(constB95, bitIndex1)) | v88(constB95, bitIndex0))),
% 14.81/10.10 inference(tautology,[status(thm)],[])).
% 14.81/10.10 tff(13043,plain,
% 14.81/10.10 (v144(constB95)),
% 14.81/10.10 inference(unit_resolution,[status(thm)],[13042, 13041, 400])).
% 14.81/10.10 tff(13044,plain,
% 14.81/10.10 ((v143(constB95) | v144(constB95)) | (~v144(constB95))),
% 14.81/10.10 inference(tautology,[status(thm)],[])).
% 14.81/10.10 tff(13045,plain,
% 14.81/10.10 (v143(constB95) | v144(constB95)),
% 14.81/10.10 inference(unit_resolution,[status(thm)],[13044, 13043])).
% 14.81/10.10 tff(13046,plain,
% 14.81/10.10 ((~(v142(constB95) <=> (v143(constB95) | v144(constB95)))) | v142(constB95) | (~(v143(constB95) | v144(constB95)))),
% 14.81/10.10 inference(tautology,[status(thm)],[])).
% 14.81/10.10 tff(13047,plain,
% 14.81/10.10 (v142(constB95)),
% 14.81/10.10 inference(unit_resolution,[status(thm)],[13046, 13045, 380])).
% 14.81/10.10 tff(13048,plain,
% 14.81/10.10 ((v142(constB95) | v150(constB95)) | (~v142(constB95))),
% 14.81/10.10 inference(tautology,[status(thm)],[])).
% 14.81/10.10 tff(13049,plain,
% 14.81/10.10 (v142(constB95) | v150(constB95)),
% 14.81/10.10 inference(unit_resolution,[status(thm)],[13048, 13047])).
% 14.81/10.10 tff(13050,plain,
% 14.81/10.10 ((~(v171(constB95) <=> (v142(constB95) | v150(constB95)))) | v171(constB95) | (~(v142(constB95) | v150(constB95)))),
% 14.81/10.10 inference(tautology,[status(thm)],[])).
% 14.81/10.10 tff(13051,plain,
% 14.81/10.10 (v171(constB95)),
% 14.81/10.10 inference(unit_resolution,[status(thm)],[13050, 13049, 371])).
% 14.81/10.10 tff(13052,plain,
% 14.81/10.10 (^[VarCurr: $i] : refl(((~v171(VarCurr)) | (~v170(VarCurr))) <=> ((~v171(VarCurr)) | (~v170(VarCurr))))),
% 14.81/10.10 inference(bind,[status(th)],[])).
% 14.81/10.10 tff(13053,plain,
% 14.81/10.10 (![VarCurr: $i] : ((~v171(VarCurr)) | (~v170(VarCurr))) <=> ![VarCurr: $i] : ((~v171(VarCurr)) | (~v170(VarCurr)))),
% 14.81/10.10 inference(quant_intro,[status(thm)],[13052])).
% 14.81/10.10 tff(13054,plain,
% 14.81/10.10 (![VarCurr: $i] : ((~v171(VarCurr)) | (~v170(VarCurr))) <=> ![VarCurr: $i] : ((~v171(VarCurr)) | (~v170(VarCurr)))),
% 14.81/10.10 inference(rewrite,[status(thm)],[])).
% 14.81/10.10 tff(13055,plain,
% 14.81/10.10 (^[VarCurr: $i] : trans(monotonicity(rewrite((v170(VarCurr) <=> $false) <=> (~v170(VarCurr))), ((v171(VarCurr) => (v170(VarCurr) <=> $false)) <=> (v171(VarCurr) => (~v170(VarCurr))))), rewrite((v171(VarCurr) => (~v170(VarCurr))) <=> ((~v171(VarCurr)) | (~v170(VarCurr)))), ((v171(VarCurr) => (v170(VarCurr) <=> $false)) <=> ((~v171(VarCurr)) | (~v170(VarCurr)))))),
% 14.81/10.10 inference(bind,[status(th)],[])).
% 14.81/10.10 tff(13056,plain,
% 14.81/10.10 (![VarCurr: $i] : (v171(VarCurr) => (v170(VarCurr) <=> $false)) <=> ![VarCurr: $i] : ((~v171(VarCurr)) | (~v170(VarCurr)))),
% 14.81/10.10 inference(quant_intro,[status(thm)],[13055])).
% 14.81/10.10 tff(13057,axiom,(![VarCurr: $i] : (v171(VarCurr) => (v170(VarCurr) <=> $false))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','addParallelCaseBooleanConditionEqualRanges0_3')).
% 14.81/10.10 tff(13058,plain,
% 14.81/10.10 (![VarCurr: $i] : ((~v171(VarCurr)) | (~v170(VarCurr)))),
% 14.81/10.10 inference(modus_ponens,[status(thm)],[13057, 13056])).
% 14.81/10.10 tff(13059,plain,
% 14.81/10.10 (![VarCurr: $i] : ((~v171(VarCurr)) | (~v170(VarCurr)))),
% 14.81/10.10 inference(modus_ponens,[status(thm)],[13058, 13054])).
% 14.81/10.10 tff(13060,plain,(
% 14.81/10.10 ![VarCurr: $i] : ((~v171(VarCurr)) | (~v170(VarCurr)))),
% 14.81/10.10 inference(skolemize,[status(sab)],[13059])).
% 14.81/10.10 tff(13061,plain,
% 14.81/10.10 (![VarCurr: $i] : ((~v171(VarCurr)) | (~v170(VarCurr)))),
% 14.81/10.10 inference(modus_ponens,[status(thm)],[13060, 13053])).
% 14.81/10.10 tff(13062,plain,
% 14.81/10.10 (((~![VarCurr: $i] : ((~v171(VarCurr)) | (~v170(VarCurr)))) | ((~v170(constB95)) | (~v171(constB95)))) <=> ((~![VarCurr: $i] : ((~v171(VarCurr)) | (~v170(VarCurr)))) | (~v170(constB95)) | (~v171(constB95)))),
% 14.81/10.10 inference(rewrite,[status(thm)],[])).
% 14.81/10.10 tff(13063,plain,
% 14.81/10.10 (((~v171(constB95)) | (~v170(constB95))) <=> ((~v170(constB95)) | (~v171(constB95)))),
% 14.81/10.10 inference(rewrite,[status(thm)],[])).
% 14.81/10.10 tff(13064,plain,
% 14.81/10.10 (((~![VarCurr: $i] : ((~v171(VarCurr)) | (~v170(VarCurr)))) | ((~v171(constB95)) | (~v170(constB95)))) <=> ((~![VarCurr: $i] : ((~v171(VarCurr)) | (~v170(VarCurr)))) | ((~v170(constB95)) | (~v171(constB95))))),
% 14.81/10.10 inference(monotonicity,[status(thm)],[13063])).
% 14.81/10.10 tff(13065,plain,
% 14.81/10.10 (((~![VarCurr: $i] : ((~v171(VarCurr)) | (~v170(VarCurr)))) | ((~v171(constB95)) | (~v170(constB95)))) <=> ((~![VarCurr: $i] : ((~v171(VarCurr)) | (~v170(VarCurr)))) | (~v170(constB95)) | (~v171(constB95)))),
% 14.81/10.10 inference(transitivity,[status(thm)],[13064, 13062])).
% 14.81/10.10 tff(13066,plain,
% 14.81/10.10 ((~![VarCurr: $i] : ((~v171(VarCurr)) | (~v170(VarCurr)))) | ((~v171(constB95)) | (~v170(constB95)))),
% 14.81/10.10 inference(quant_inst,[status(thm)],[])).
% 14.81/10.10 tff(13067,plain,
% 14.81/10.10 ((~![VarCurr: $i] : ((~v171(VarCurr)) | (~v170(VarCurr)))) | (~v170(constB95)) | (~v171(constB95))),
% 14.81/10.10 inference(modus_ponens,[status(thm)],[13066, 13065])).
% 14.81/10.10 tff(13068,plain,
% 14.81/10.10 ((~v170(constB95)) | (~v171(constB95))),
% 14.81/10.10 inference(unit_resolution,[status(thm)],[13067, 13061])).
% 14.81/10.10 tff(13069,plain,
% 14.81/10.10 (~v170(constB95)),
% 14.81/10.10 inference(unit_resolution,[status(thm)],[13068, 13051])).
% 14.81/10.10 tff(13070,plain,
% 14.81/10.10 (^[VarCurr: $i] : refl((v166(VarCurr) <=> (v145(VarCurr) | v167(VarCurr))) <=> (v166(VarCurr) <=> (v145(VarCurr) | v167(VarCurr))))),
% 14.81/10.10 inference(bind,[status(th)],[])).
% 14.81/10.10 tff(13071,plain,
% 14.81/10.10 (![VarCurr: $i] : (v166(VarCurr) <=> (v145(VarCurr) | v167(VarCurr))) <=> ![VarCurr: $i] : (v166(VarCurr) <=> (v145(VarCurr) | v167(VarCurr)))),
% 14.81/10.10 inference(quant_intro,[status(thm)],[13070])).
% 14.81/10.10 tff(13072,plain,
% 14.81/10.10 (![VarCurr: $i] : (v166(VarCurr) <=> (v145(VarCurr) | v167(VarCurr))) <=> ![VarCurr: $i] : (v166(VarCurr) <=> (v145(VarCurr) | v167(VarCurr)))),
% 14.81/10.10 inference(rewrite,[status(thm)],[])).
% 14.81/10.10 tff(13073,plain,
% 14.81/10.10 (^[VarCurr: $i] : rewrite((v166(VarCurr) <=> (v167(VarCurr) | v145(VarCurr))) <=> (v166(VarCurr) <=> (v145(VarCurr) | v167(VarCurr))))),
% 14.81/10.10 inference(bind,[status(th)],[])).
% 14.81/10.10 tff(13074,plain,
% 14.81/10.10 (![VarCurr: $i] : (v166(VarCurr) <=> (v167(VarCurr) | v145(VarCurr))) <=> ![VarCurr: $i] : (v166(VarCurr) <=> (v145(VarCurr) | v167(VarCurr)))),
% 14.81/10.10 inference(quant_intro,[status(thm)],[13073])).
% 14.81/10.10 tff(13075,axiom,(![VarCurr: $i] : (v166(VarCurr) <=> (v167(VarCurr) | v145(VarCurr)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','writeBinaryOperatorEqualRangesSingleBits_39')).
% 14.81/10.10 tff(13076,plain,
% 14.81/10.10 (![VarCurr: $i] : (v166(VarCurr) <=> (v145(VarCurr) | v167(VarCurr)))),
% 14.81/10.10 inference(modus_ponens,[status(thm)],[13075, 13074])).
% 14.81/10.10 tff(13077,plain,
% 14.81/10.10 (![VarCurr: $i] : (v166(VarCurr) <=> (v145(VarCurr) | v167(VarCurr)))),
% 14.81/10.10 inference(modus_ponens,[status(thm)],[13076, 13072])).
% 14.81/10.10 tff(13078,plain,(
% 14.81/10.10 ![VarCurr: $i] : (v166(VarCurr) <=> (v145(VarCurr) | v167(VarCurr)))),
% 14.81/10.10 inference(skolemize,[status(sab)],[13077])).
% 14.81/10.10 tff(13079,plain,
% 14.81/10.10 (![VarCurr: $i] : (v166(VarCurr) <=> (v145(VarCurr) | v167(VarCurr)))),
% 14.81/10.10 inference(modus_ponens,[status(thm)],[13078, 13071])).
% 14.81/10.10 tff(13080,plain,
% 14.81/10.10 ((~![VarCurr: $i] : (v166(VarCurr) <=> (v145(VarCurr) | v167(VarCurr)))) | (v166(constB95) <=> (v145(constB95) | v167(constB95)))),
% 14.81/10.10 inference(quant_inst,[status(thm)],[])).
% 14.81/10.10 tff(13081,plain,
% 14.81/10.10 (v166(constB95) <=> (v145(constB95) | v167(constB95))),
% 14.81/10.10 inference(unit_resolution,[status(thm)],[13080, 13079])).
% 14.81/10.10 tff(13082,plain,
% 14.81/10.10 (^[VarCurr: $i] : refl((v167(VarCurr) <=> (v142(VarCurr) | v168(VarCurr))) <=> (v167(VarCurr) <=> (v142(VarCurr) | v168(VarCurr))))),
% 14.81/10.10 inference(bind,[status(th)],[])).
% 14.81/10.10 tff(13083,plain,
% 14.81/10.10 (![VarCurr: $i] : (v167(VarCurr) <=> (v142(VarCurr) | v168(VarCurr))) <=> ![VarCurr: $i] : (v167(VarCurr) <=> (v142(VarCurr) | v168(VarCurr)))),
% 14.81/10.10 inference(quant_intro,[status(thm)],[13082])).
% 14.81/10.10 tff(13084,plain,
% 14.81/10.10 (![VarCurr: $i] : (v167(VarCurr) <=> (v142(VarCurr) | v168(VarCurr))) <=> ![VarCurr: $i] : (v167(VarCurr) <=> (v142(VarCurr) | v168(VarCurr)))),
% 14.81/10.10 inference(rewrite,[status(thm)],[])).
% 14.81/10.10 tff(13085,plain,
% 14.81/10.10 (^[VarCurr: $i] : rewrite((v167(VarCurr) <=> (v168(VarCurr) | v142(VarCurr))) <=> (v167(VarCurr) <=> (v142(VarCurr) | v168(VarCurr))))),
% 14.81/10.10 inference(bind,[status(th)],[])).
% 14.81/10.10 tff(13086,plain,
% 14.81/10.10 (![VarCurr: $i] : (v167(VarCurr) <=> (v168(VarCurr) | v142(VarCurr))) <=> ![VarCurr: $i] : (v167(VarCurr) <=> (v142(VarCurr) | v168(VarCurr)))),
% 14.81/10.10 inference(quant_intro,[status(thm)],[13085])).
% 14.81/10.10 tff(13087,axiom,(![VarCurr: $i] : (v167(VarCurr) <=> (v168(VarCurr) | v142(VarCurr)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','writeBinaryOperatorEqualRangesSingleBits_38')).
% 14.81/10.10 tff(13088,plain,
% 14.81/10.10 (![VarCurr: $i] : (v167(VarCurr) <=> (v142(VarCurr) | v168(VarCurr)))),
% 14.81/10.10 inference(modus_ponens,[status(thm)],[13087, 13086])).
% 14.81/10.10 tff(13089,plain,
% 14.81/10.10 (![VarCurr: $i] : (v167(VarCurr) <=> (v142(VarCurr) | v168(VarCurr)))),
% 14.81/10.10 inference(modus_ponens,[status(thm)],[13088, 13084])).
% 14.81/10.10 tff(13090,plain,(
% 14.81/10.10 ![VarCurr: $i] : (v167(VarCurr) <=> (v142(VarCurr) | v168(VarCurr)))),
% 14.81/10.10 inference(skolemize,[status(sab)],[13089])).
% 14.81/10.10 tff(13091,plain,
% 14.81/10.10 (![VarCurr: $i] : (v167(VarCurr) <=> (v142(VarCurr) | v168(VarCurr)))),
% 14.81/10.10 inference(modus_ponens,[status(thm)],[13090, 13083])).
% 14.81/10.10 tff(13092,plain,
% 14.81/10.10 ((~![VarCurr: $i] : (v167(VarCurr) <=> (v142(VarCurr) | v168(VarCurr)))) | (v167(constB95) <=> (v142(constB95) | v168(constB95)))),
% 14.81/10.10 inference(quant_inst,[status(thm)],[])).
% 14.81/10.10 tff(13093,plain,
% 14.81/10.10 (v167(constB95) <=> (v142(constB95) | v168(constB95))),
% 14.81/10.10 inference(unit_resolution,[status(thm)],[13092, 13091])).
% 14.81/10.10 tff(13094,plain,
% 14.81/10.10 ((v142(constB95) | v168(constB95)) | (~v142(constB95))),
% 14.81/10.10 inference(tautology,[status(thm)],[])).
% 14.81/10.10 tff(13095,plain,
% 14.81/10.10 (v142(constB95) | v168(constB95)),
% 14.81/10.10 inference(unit_resolution,[status(thm)],[13094, 13047])).
% 14.81/10.10 tff(13096,plain,
% 14.81/10.10 ((~(v167(constB95) <=> (v142(constB95) | v168(constB95)))) | v167(constB95) | (~(v142(constB95) | v168(constB95)))),
% 14.81/10.10 inference(tautology,[status(thm)],[])).
% 14.81/10.10 tff(13097,plain,
% 14.81/10.10 (v167(constB95)),
% 14.81/10.10 inference(unit_resolution,[status(thm)],[13096, 13095, 13093])).
% 14.81/10.10 tff(13098,plain,
% 14.81/10.10 ((v145(constB95) | v167(constB95)) | (~v167(constB95))),
% 14.81/10.10 inference(tautology,[status(thm)],[])).
% 14.81/10.10 tff(13099,plain,
% 14.81/10.10 (v145(constB95) | v167(constB95)),
% 14.81/10.10 inference(unit_resolution,[status(thm)],[13098, 13097])).
% 14.81/10.10 tff(13100,plain,
% 14.81/10.10 ((~(v166(constB95) <=> (v145(constB95) | v167(constB95)))) | v166(constB95) | (~(v145(constB95) | v167(constB95)))),
% 14.81/10.10 inference(tautology,[status(thm)],[])).
% 14.81/10.10 tff(13101,plain,
% 14.81/10.10 (v166(constB95)),
% 14.81/10.10 inference(unit_resolution,[status(thm)],[13100, 13099, 13081])).
% 14.81/10.10 tff(13102,plain,
% 14.81/10.10 (^[VarNext: $i] : refl(((~v166(VarNext)) | (v163(VarNext) <=> v170(VarNext))) <=> ((~v166(VarNext)) | (v163(VarNext) <=> v170(VarNext))))),
% 14.81/10.10 inference(bind,[status(th)],[])).
% 14.81/10.10 tff(13103,plain,
% 14.81/10.10 (![VarNext: $i] : ((~v166(VarNext)) | (v163(VarNext) <=> v170(VarNext))) <=> ![VarNext: $i] : ((~v166(VarNext)) | (v163(VarNext) <=> v170(VarNext)))),
% 14.81/10.10 inference(quant_intro,[status(thm)],[13102])).
% 14.81/10.10 tff(13104,plain,
% 14.81/10.10 (![VarNext: $i] : ((~v166(VarNext)) | (v163(VarNext) <=> v170(VarNext))) <=> ![VarNext: $i] : ((~v166(VarNext)) | (v163(VarNext) <=> v170(VarNext)))),
% 14.81/10.10 inference(rewrite,[status(thm)],[])).
% 14.81/10.10 tff(13105,plain,
% 14.81/10.10 (^[VarNext: $i] : rewrite((v166(VarNext) => (v163(VarNext) <=> v170(VarNext))) <=> ((~v166(VarNext)) | (v163(VarNext) <=> v170(VarNext))))),
% 14.81/10.10 inference(bind,[status(th)],[])).
% 14.81/10.10 tff(13106,plain,
% 14.81/10.10 (![VarNext: $i] : (v166(VarNext) => (v163(VarNext) <=> v170(VarNext))) <=> ![VarNext: $i] : ((~v166(VarNext)) | (v163(VarNext) <=> v170(VarNext)))),
% 14.81/10.10 inference(quant_intro,[status(thm)],[13105])).
% 14.81/10.10 tff(13107,axiom,(![VarNext: $i] : (v166(VarNext) => (v163(VarNext) <=> v170(VarNext)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','addConditionBooleanCondEqualRangesThenBranch_5')).
% 14.81/10.10 tff(13108,plain,
% 14.81/10.10 (![VarNext: $i] : ((~v166(VarNext)) | (v163(VarNext) <=> v170(VarNext)))),
% 14.81/10.10 inference(modus_ponens,[status(thm)],[13107, 13106])).
% 14.81/10.10 tff(13109,plain,
% 14.81/10.10 (![VarNext: $i] : ((~v166(VarNext)) | (v163(VarNext) <=> v170(VarNext)))),
% 14.81/10.10 inference(modus_ponens,[status(thm)],[13108, 13104])).
% 14.81/10.10 tff(13110,plain,(
% 14.81/10.10 ![VarNext: $i] : ((~v166(VarNext)) | (v163(VarNext) <=> v170(VarNext)))),
% 14.81/10.10 inference(skolemize,[status(sab)],[13109])).
% 14.81/10.10 tff(13111,plain,
% 14.81/10.10 (![VarNext: $i] : ((~v166(VarNext)) | (v163(VarNext) <=> v170(VarNext)))),
% 14.81/10.10 inference(modus_ponens,[status(thm)],[13110, 13103])).
% 14.81/10.10 tff(13112,plain,
% 14.81/10.10 (((~![VarNext: $i] : ((~v166(VarNext)) | (v163(VarNext) <=> v170(VarNext)))) | ((~v166(constB95)) | (v163(constB95) <=> v170(constB95)))) <=> ((~![VarNext: $i] : ((~v166(VarNext)) | (v163(VarNext) <=> v170(VarNext)))) | (~v166(constB95)) | (v163(constB95) <=> v170(constB95)))),
% 14.81/10.10 inference(rewrite,[status(thm)],[])).
% 14.81/10.10 tff(13113,plain,
% 14.81/10.10 ((~![VarNext: $i] : ((~v166(VarNext)) | (v163(VarNext) <=> v170(VarNext)))) | ((~v166(constB95)) | (v163(constB95) <=> v170(constB95)))),
% 14.81/10.10 inference(quant_inst,[status(thm)],[])).
% 14.81/10.10 tff(13114,plain,
% 14.81/10.10 ((~![VarNext: $i] : ((~v166(VarNext)) | (v163(VarNext) <=> v170(VarNext)))) | (~v166(constB95)) | (v163(constB95) <=> v170(constB95))),
% 14.81/10.10 inference(modus_ponens,[status(thm)],[13113, 13112])).
% 14.81/10.10 tff(13115,plain,
% 14.81/10.10 ((~v166(constB95)) | (v163(constB95) <=> v170(constB95))),
% 14.81/10.10 inference(unit_resolution,[status(thm)],[13114, 13111])).
% 14.81/10.10 tff(13116,plain,
% 14.81/10.10 (v163(constB95) <=> v170(constB95)),
% 14.81/10.10 inference(unit_resolution,[status(thm)],[13115, 13101])).
% 14.81/10.10 tff(13117,plain,
% 14.81/10.10 ((~(v163(constB95) <=> v170(constB95))) | (~v163(constB95)) | v170(constB95)),
% 14.81/10.10 inference(tautology,[status(thm)],[])).
% 14.81/10.10 tff(13118,plain,
% 14.81/10.10 (~v163(constB95)),
% 14.81/10.10 inference(unit_resolution,[status(thm)],[13117, 13116, 13069])).
% 14.81/10.10 tff(13119,plain,
% 14.81/10.10 ((~(v161(constB95) <=> v163(constB95))) | (~v161(constB95)) | v163(constB95)),
% 14.81/10.10 inference(tautology,[status(thm)],[])).
% 14.81/10.10 tff(13120,plain,
% 14.81/10.10 (~v161(constB95)),
% 14.81/10.10 inference(unit_resolution,[status(thm)],[13119, 13118, 359])).
% 14.81/10.10 tff(13121,plain,
% 14.81/10.10 (((~v159(constB95)) | (~v161(constB95))) | v161(constB95)),
% 14.81/10.10 inference(tautology,[status(thm)],[])).
% 14.81/10.10 tff(13122,plain,
% 14.81/10.10 ((~v159(constB95)) | (~v161(constB95))),
% 14.81/10.10 inference(unit_resolution,[status(thm)],[13121, 13120])).
% 14.81/10.10 tff(13123,plain,
% 14.81/10.10 ((~(v201(constB95) <=> (~((~v159(constB95)) | (~v161(constB95)))))) | (~v201(constB95)) | (~((~v159(constB95)) | (~v161(constB95))))),
% 14.81/10.10 inference(tautology,[status(thm)],[])).
% 14.81/10.10 tff(13124,plain,
% 14.81/10.10 (~v201(constB95)),
% 14.81/10.10 inference(unit_resolution,[status(thm)],[13123, 13122, 350])).
% 14.81/10.10 tff(13125,plain,
% 14.81/10.10 (((~v197(constB95)) | (~v201(constB95))) | v201(constB95)),
% 14.81/10.10 inference(tautology,[status(thm)],[])).
% 14.81/10.10 tff(13126,plain,
% 14.81/10.10 ((~v197(constB95)) | (~v201(constB95))),
% 14.81/10.10 inference(unit_resolution,[status(thm)],[13125, 13124])).
% 14.81/10.10 tff(13127,plain,
% 14.81/10.10 ((~(v200(constB95) <=> (~((~v197(constB95)) | (~v201(constB95)))))) | (~v200(constB95)) | (~((~v197(constB95)) | (~v201(constB95))))),
% 14.81/10.10 inference(tautology,[status(thm)],[])).
% 14.81/10.10 tff(13128,plain,
% 14.81/10.10 (~v200(constB95)),
% 14.81/10.10 inference(unit_resolution,[status(thm)],[13127, 13126, 338])).
% 14.81/10.10 tff(13129,plain,
% 14.81/10.10 (((~v199(constB95)) | (~v200(constB95))) | v200(constB95)),
% 14.81/10.10 inference(tautology,[status(thm)],[])).
% 14.81/10.10 tff(13130,plain,
% 14.81/10.10 ((~v199(constB95)) | (~v200(constB95))),
% 14.81/10.10 inference(unit_resolution,[status(thm)],[13129, 13128])).
% 14.81/10.10 tff(13131,plain,
% 14.81/10.10 ((~(v198(constB95) <=> (~((~v199(constB95)) | (~v200(constB95)))))) | (~v198(constB95)) | (~((~v199(constB95)) | (~v200(constB95))))),
% 14.81/10.10 inference(tautology,[status(thm)],[])).
% 14.81/10.10 tff(13132,plain,
% 14.81/10.10 (~v198(constB95)),
% 14.81/10.10 inference(unit_resolution,[status(thm)],[13131, 13130, 336])).
% 14.81/10.10 tff(13133,plain,
% 14.81/10.10 ((~(v194(constB95) | v198(constB95))) | v194(constB95) | v198(constB95)),
% 14.81/10.10 inference(tautology,[status(thm)],[])).
% 14.81/10.10 tff(13134,plain,
% 14.81/10.10 (~(v194(constB95) | v198(constB95))),
% 14.81/10.10 inference(unit_resolution,[status(thm)],[13133, 13132, 334])).
% 14.81/10.10 tff(13135,plain,
% 14.81/10.10 ((~(v191(constB95) <=> (v194(constB95) | v198(constB95)))) | (~v191(constB95)) | (v194(constB95) | v198(constB95))),
% 14.81/10.10 inference(tautology,[status(thm)],[])).
% 14.81/10.10 tff(13136,plain,
% 14.81/10.10 (~v191(constB95)),
% 14.81/10.10 inference(unit_resolution,[status(thm)],[13135, 13134, 179])).
% 14.81/10.10 tff(13137,plain,
% 14.81/10.10 ((~(v193(constB96) <=> v191(constB95))) | (~v193(constB96)) | v191(constB95)),
% 14.81/10.10 inference(tautology,[status(thm)],[])).
% 14.81/10.10 tff(13138,plain,
% 14.81/10.10 (~v193(constB96)),
% 14.81/10.10 inference(unit_resolution,[status(thm)],[13137, 13136, 177])).
% 14.81/10.10 tff(13139,plain,
% 14.81/10.10 ((~(v157(constB96) <=> v193(constB96))) | (~v157(constB96)) | v193(constB96)),
% 14.81/10.10 inference(tautology,[status(thm)],[])).
% 14.81/10.10 tff(13140,plain,
% 14.81/10.10 (~v157(constB96)),
% 14.81/10.10 inference(unit_resolution,[status(thm)],[13139, 13138, 170])).
% 14.81/10.10 tff(13141,plain,
% 14.81/10.10 (((~v157(constB96)) | (~v195(constB96))) | v157(constB96)),
% 14.81/10.10 inference(tautology,[status(thm)],[])).
% 14.81/10.10 tff(13142,plain,
% 14.81/10.10 ((~v157(constB96)) | (~v195(constB96))),
% 14.81/10.10 inference(unit_resolution,[status(thm)],[13141, 13140])).
% 14.81/10.10 tff(13143,plain,
% 14.81/10.10 ((~(v194(constB96) <=> (~((~v157(constB96)) | (~v195(constB96)))))) | (~v194(constB96)) | (~((~v157(constB96)) | (~v195(constB96))))),
% 14.81/10.10 inference(tautology,[status(thm)],[])).
% 14.81/10.10 tff(13144,plain,
% 14.81/10.10 (~v194(constB96)),
% 14.81/10.10 inference(unit_resolution,[status(thm)],[13143, 13142, 168])).
% 14.81/10.10 tff(13145,plain,
% 14.81/10.10 ((~(v194(constB96) | v198(constB96))) | v194(constB96) | v198(constB96)),
% 14.81/10.10 inference(tautology,[status(thm)],[])).
% 14.81/10.10 tff(13146,plain,
% 14.81/10.10 (~(v194(constB96) | v198(constB96))),
% 14.81/10.10 inference(unit_resolution,[status(thm)],[13145, 13144, 151])).
% 14.81/10.10 tff(13147,plain,
% 14.81/10.10 ((~(v191(constB96) <=> (v194(constB96) | v198(constB96)))) | (~v191(constB96)) | (v194(constB96) | v198(constB96))),
% 14.81/10.10 inference(tautology,[status(thm)],[])).
% 14.81/10.10 tff(13148,plain,
% 14.81/10.10 (~v191(constB96)),
% 14.81/10.10 inference(unit_resolution,[status(thm)],[13147, 13146, 86])).
% 14.81/10.10 tff(13149,plain,
% 14.81/10.10 ((~(v193(constB97) <=> v191(constB96))) | (~v193(constB97)) | v191(constB96)),
% 14.81/10.10 inference(tautology,[status(thm)],[])).
% 14.81/10.10 tff(13150,plain,
% 14.81/10.10 (~v193(constB97)),
% 14.81/10.10 inference(unit_resolution,[status(thm)],[13149, 13148, 77])).
% 14.81/10.10 tff(13151,plain,
% 14.81/10.10 ($false),
% 14.81/10.10 inference(unit_resolution,[status(thm)],[13150, 60])).
% 14.81/10.10 tff(13152,plain,(~(constB97 = VarCurr!0)), inference(lemma,lemma(discharge,[]))).
% 14.81/10.10 tff(13153,assumption,(constB37 = VarCurr!0), introduced(assumption)).
% 14.81/10.10 tff(13154,plain,
% 14.81/10.10 (v193(constB37) <=> v193(VarCurr!0)),
% 14.81/10.10 inference(monotonicity,[status(thm)],[13153])).
% 14.81/10.10 tff(13155,plain,
% 14.81/10.10 (v193(VarCurr!0) <=> v193(constB37)),
% 14.81/10.10 inference(symmetry,[status(thm)],[13154])).
% 14.81/10.10 tff(13156,plain,
% 14.81/10.10 (v193(constB37)),
% 14.81/10.10 inference(modus_ponens,[status(thm)],[59, 13155])).
% 14.81/10.10 tff(13157,plain,
% 14.81/10.10 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v193(VarNext) <=> v191(VarCurr)))) | ((~nextState(constB36, constB37)) | (v193(constB37) <=> v191(constB36)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v193(VarNext) <=> v191(VarCurr)))) | (~nextState(constB36, constB37)) | (v193(constB37) <=> v191(constB36)))),
% 14.81/10.10 inference(rewrite,[status(thm)],[])).
% 14.81/10.10 tff(13158,plain,
% 14.81/10.10 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v193(VarNext) <=> v191(VarCurr)))) | ((~nextState(constB36, constB37)) | (v193(constB37) <=> v191(constB36)))),
% 14.81/10.10 inference(quant_inst,[status(thm)],[])).
% 14.81/10.10 tff(13159,plain,
% 14.81/10.10 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v193(VarNext) <=> v191(VarCurr)))) | (~nextState(constB36, constB37)) | (v193(constB37) <=> v191(constB36))),
% 14.81/10.10 inference(modus_ponens,[status(thm)],[13158, 13157])).
% 14.81/10.10 tff(13160,plain,
% 14.81/10.10 (v193(constB37) <=> v191(constB36)),
% 14.81/10.10 inference(unit_resolution,[status(thm)],[13159, 3304, 70])).
% 14.81/10.10 tff(13161,plain,
% 14.81/10.10 ((~![VarCurr: $i] : (v191(VarCurr) <=> (v194(VarCurr) | v198(VarCurr)))) | (v191(constB36) <=> (v194(constB36) | v198(constB36)))),
% 14.81/10.10 inference(quant_inst,[status(thm)],[])).
% 14.81/10.10 tff(13162,plain,
% 14.81/10.10 (v191(constB36) <=> (v194(constB36) | v198(constB36))),
% 14.81/10.10 inference(unit_resolution,[status(thm)],[13161, 84])).
% 14.81/10.10 tff(13163,plain,
% 14.81/10.10 ((~![VarCurr: $i] : (v198(VarCurr) <=> (~((~v199(VarCurr)) | (~v200(VarCurr)))))) | (v198(constB36) <=> (~((~v199(constB36)) | (~v200(constB36)))))),
% 14.81/10.10 inference(quant_inst,[status(thm)],[])).
% 14.81/10.10 tff(13164,plain,
% 14.81/10.10 (v198(constB36) <=> (~((~v199(constB36)) | (~v200(constB36))))),
% 14.81/10.10 inference(unit_resolution,[status(thm)],[13163, 96])).
% 14.81/10.10 tff(13165,plain,
% 14.81/10.10 ((~![VarCurr: $i] : (v200(VarCurr) <=> (~((~v197(VarCurr)) | (~v201(VarCurr)))))) | (v200(constB36) <=> (~((~v197(constB36)) | (~v201(constB36)))))),
% 14.81/10.10 inference(quant_inst,[status(thm)],[])).
% 14.81/10.10 tff(13166,plain,
% 14.81/10.10 (v200(constB36) <=> (~((~v197(constB36)) | (~v201(constB36))))),
% 14.81/10.10 inference(unit_resolution,[status(thm)],[13165, 108])).
% 14.81/10.10 tff(13167,plain,
% 14.81/10.10 ((~![VarCurr: $i] : (v197(VarCurr) <=> (~((~v39(VarCurr)) | (~v9(VarCurr)))))) | (v197(constB36) <=> (~((~v39(constB36)) | (~v9(constB36)))))),
% 14.81/10.10 inference(quant_inst,[status(thm)],[])).
% 14.81/10.10 tff(13168,plain,
% 14.81/10.10 (v197(constB36) <=> (~((~v39(constB36)) | (~v9(constB36))))),
% 14.81/10.10 inference(unit_resolution,[status(thm)],[13167, 120])).
% 14.81/10.10 tff(13169,plain,
% 14.81/10.10 ((~![VarCurr: $i] : ((~v39(VarCurr)) <=> v1(VarCurr))) | ((~v39(constB36)) <=> v1(constB36))),
% 14.81/10.10 inference(quant_inst,[status(thm)],[])).
% 14.81/10.10 tff(13170,plain,
% 14.81/10.10 ((~v39(constB36)) <=> v1(constB36)),
% 14.81/10.10 inference(unit_resolution,[status(thm)],[13169, 129])).
% 14.81/10.10 tff(13171,plain,
% 14.81/10.10 ((~((~v39(constB36)) <=> v1(constB36))) | (~v39(constB36)) | (~v1(constB36))),
% 14.81/10.10 inference(tautology,[status(thm)],[])).
% 14.81/10.10 tff(13172,plain,
% 14.81/10.10 ((~((~v39(constB36)) <=> v1(constB36))) | (~v39(constB36))),
% 14.81/10.10 inference(unit_resolution,[status(thm)],[13171, 3366])).
% 14.81/10.10 tff(13173,plain,
% 14.81/10.10 (~v39(constB36)),
% 14.81/10.10 inference(unit_resolution,[status(thm)],[13172, 13170])).
% 14.81/10.10 tff(13174,plain,
% 14.81/10.10 (((~v39(constB36)) | (~v9(constB36))) | v39(constB36)),
% 14.81/10.10 inference(tautology,[status(thm)],[])).
% 14.81/10.10 tff(13175,plain,
% 14.81/10.10 ((~v39(constB36)) | (~v9(constB36))),
% 14.81/10.10 inference(unit_resolution,[status(thm)],[13174, 13173])).
% 14.81/10.10 tff(13176,plain,
% 14.81/10.10 ((~(v197(constB36) <=> (~((~v39(constB36)) | (~v9(constB36)))))) | (~v197(constB36)) | (~((~v39(constB36)) | (~v9(constB36))))),
% 14.81/10.10 inference(tautology,[status(thm)],[])).
% 14.81/10.10 tff(13177,plain,
% 14.81/10.10 ((~(v197(constB36) <=> (~((~v39(constB36)) | (~v9(constB36)))))) | (~v197(constB36))),
% 14.81/10.10 inference(unit_resolution,[status(thm)],[13176, 13175])).
% 14.81/10.11 tff(13178,plain,
% 14.81/10.11 (~v197(constB36)),
% 14.81/10.11 inference(unit_resolution,[status(thm)],[13177, 13168])).
% 14.81/10.11 tff(13179,plain,
% 14.81/10.11 (((~v197(constB36)) | (~v201(constB36))) | v197(constB36)),
% 14.81/10.11 inference(tautology,[status(thm)],[])).
% 14.81/10.11 tff(13180,plain,
% 14.81/10.11 ((~v197(constB36)) | (~v201(constB36))),
% 14.81/10.11 inference(unit_resolution,[status(thm)],[13179, 13178])).
% 14.81/10.11 tff(13181,plain,
% 14.81/10.11 ((~(v200(constB36) <=> (~((~v197(constB36)) | (~v201(constB36)))))) | (~v200(constB36)) | (~((~v197(constB36)) | (~v201(constB36))))),
% 14.81/10.11 inference(tautology,[status(thm)],[])).
% 14.81/10.11 tff(13182,plain,
% 14.81/10.11 ((~(v200(constB36) <=> (~((~v197(constB36)) | (~v201(constB36)))))) | (~v200(constB36))),
% 14.81/10.11 inference(unit_resolution,[status(thm)],[13181, 13180])).
% 14.81/10.11 tff(13183,plain,
% 14.81/10.11 (~v200(constB36)),
% 14.81/10.11 inference(unit_resolution,[status(thm)],[13182, 13166])).
% 14.81/10.11 tff(13184,plain,
% 14.81/10.11 (((~v199(constB36)) | (~v200(constB36))) | v200(constB36)),
% 14.81/10.11 inference(tautology,[status(thm)],[])).
% 14.81/10.11 tff(13185,plain,
% 14.81/10.11 ((~v199(constB36)) | (~v200(constB36))),
% 14.81/10.11 inference(unit_resolution,[status(thm)],[13184, 13183])).
% 14.81/10.11 tff(13186,plain,
% 14.81/10.11 ((~(v198(constB36) <=> (~((~v199(constB36)) | (~v200(constB36)))))) | (~v198(constB36)) | (~((~v199(constB36)) | (~v200(constB36))))),
% 14.81/10.11 inference(tautology,[status(thm)],[])).
% 14.81/10.11 tff(13187,plain,
% 14.81/10.11 (~v198(constB36)),
% 14.81/10.11 inference(unit_resolution,[status(thm)],[13186, 13185, 13164])).
% 14.81/10.11 tff(13188,plain,
% 14.81/10.11 (((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB36) <=> (~((~v157(constB36)) | (~v195(constB36)))))) <=> ((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB36) <=> (~((~v157(constB36)) | (~v195(constB36))))))),
% 14.81/10.11 inference(rewrite,[status(thm)],[])).
% 14.81/10.11 tff(13189,plain,
% 14.81/10.11 ((v194(constB36) <=> (~((~v195(constB36)) | (~v157(constB36))))) <=> (v194(constB36) <=> (~((~v157(constB36)) | (~v195(constB36)))))),
% 14.81/10.11 inference(rewrite,[status(thm)],[])).
% 14.81/10.11 tff(13190,plain,
% 14.81/10.11 (((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB36) <=> (~((~v195(constB36)) | (~v157(constB36)))))) <=> ((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB36) <=> (~((~v157(constB36)) | (~v195(constB36))))))),
% 14.81/10.11 inference(monotonicity,[status(thm)],[13189])).
% 14.81/10.11 tff(13191,plain,
% 14.81/10.11 (((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB36) <=> (~((~v195(constB36)) | (~v157(constB36)))))) <=> ((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB36) <=> (~((~v157(constB36)) | (~v195(constB36))))))),
% 14.81/10.11 inference(transitivity,[status(thm)],[13190, 13188])).
% 14.81/10.11 tff(13192,plain,
% 14.81/10.11 ((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB36) <=> (~((~v195(constB36)) | (~v157(constB36)))))),
% 14.81/10.11 inference(quant_inst,[status(thm)],[])).
% 14.81/10.11 tff(13193,plain,
% 14.81/10.11 ((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB36) <=> (~((~v157(constB36)) | (~v195(constB36)))))),
% 14.81/10.11 inference(modus_ponens,[status(thm)],[13192, 13191])).
% 14.81/10.11 tff(13194,plain,
% 14.81/10.11 (v194(constB36) <=> (~((~v157(constB36)) | (~v195(constB36))))),
% 14.81/10.11 inference(unit_resolution,[status(thm)],[13193, 161])).
% 14.81/10.11 tff(13195,plain,
% 14.81/10.11 ((~![VarNext: $i] : (v157(VarNext) <=> v193(VarNext))) | (v157(constB36) <=> v193(constB36))),
% 14.81/10.11 inference(quant_inst,[status(thm)],[])).
% 14.81/10.11 tff(13196,plain,
% 14.81/10.11 (v157(constB36) <=> v193(constB36)),
% 14.81/10.11 inference(unit_resolution,[status(thm)],[13195, 13])).
% 14.81/10.11 tff(13197,plain,
% 14.81/10.11 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v193(VarNext) <=> v191(VarCurr)))) | ((~nextState(constB35, constB36)) | (v193(constB36) <=> v191(constB35)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v193(VarNext) <=> v191(VarCurr)))) | (~nextState(constB35, constB36)) | (v193(constB36) <=> v191(constB35)))),
% 14.81/10.11 inference(rewrite,[status(thm)],[])).
% 14.81/10.11 tff(13198,plain,
% 14.81/10.11 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v193(VarNext) <=> v191(VarCurr)))) | ((~nextState(constB35, constB36)) | (v193(constB36) <=> v191(constB35)))),
% 14.81/10.11 inference(quant_inst,[status(thm)],[])).
% 14.81/10.11 tff(13199,plain,
% 14.81/10.11 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v193(VarNext) <=> v191(VarCurr)))) | (~nextState(constB35, constB36)) | (v193(constB36) <=> v191(constB35))),
% 14.81/10.11 inference(modus_ponens,[status(thm)],[13198, 13197])).
% 14.81/10.11 tff(13200,plain,
% 14.81/10.11 (v193(constB36) <=> v191(constB35)),
% 14.81/10.11 inference(unit_resolution,[status(thm)],[13199, 3336, 70])).
% 14.81/10.11 tff(13201,plain,
% 14.81/10.11 ((~![VarCurr: $i] : (v191(VarCurr) <=> (v194(VarCurr) | v198(VarCurr)))) | (v191(constB35) <=> (v194(constB35) | v198(constB35)))),
% 14.81/10.11 inference(quant_inst,[status(thm)],[])).
% 14.81/10.11 tff(13202,plain,
% 14.81/10.11 (v191(constB35) <=> (v194(constB35) | v198(constB35))),
% 14.81/10.11 inference(unit_resolution,[status(thm)],[13201, 84])).
% 14.81/10.11 tff(13203,plain,
% 14.81/10.11 (((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB35) <=> (~((~v157(constB35)) | (~v195(constB35)))))) <=> ((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB35) <=> (~((~v157(constB35)) | (~v195(constB35))))))),
% 14.81/10.11 inference(rewrite,[status(thm)],[])).
% 14.81/10.11 tff(13204,plain,
% 14.81/10.11 ((v194(constB35) <=> (~((~v195(constB35)) | (~v157(constB35))))) <=> (v194(constB35) <=> (~((~v157(constB35)) | (~v195(constB35)))))),
% 14.81/10.11 inference(rewrite,[status(thm)],[])).
% 14.81/10.11 tff(13205,plain,
% 14.81/10.11 (((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB35) <=> (~((~v195(constB35)) | (~v157(constB35)))))) <=> ((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB35) <=> (~((~v157(constB35)) | (~v195(constB35))))))),
% 14.81/10.11 inference(monotonicity,[status(thm)],[13204])).
% 14.81/10.11 tff(13206,plain,
% 14.81/10.11 (((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB35) <=> (~((~v195(constB35)) | (~v157(constB35)))))) <=> ((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB35) <=> (~((~v157(constB35)) | (~v195(constB35))))))),
% 14.81/10.11 inference(transitivity,[status(thm)],[13205, 13203])).
% 14.81/10.11 tff(13207,plain,
% 14.81/10.11 ((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB35) <=> (~((~v195(constB35)) | (~v157(constB35)))))),
% 14.81/10.11 inference(quant_inst,[status(thm)],[])).
% 14.81/10.11 tff(13208,plain,
% 14.81/10.11 ((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB35) <=> (~((~v157(constB35)) | (~v195(constB35)))))),
% 14.81/10.11 inference(modus_ponens,[status(thm)],[13207, 13206])).
% 14.81/10.11 tff(13209,plain,
% 14.81/10.11 (v194(constB35) <=> (~((~v157(constB35)) | (~v195(constB35))))),
% 14.81/10.11 inference(unit_resolution,[status(thm)],[13208, 161])).
% 14.81/10.11 tff(13210,plain,
% 14.81/10.11 ((~![VarCurr: $i] : ((~v195(VarCurr)) <=> v196(VarCurr))) | ((~v195(constB35)) <=> v196(constB35))),
% 14.81/10.11 inference(quant_inst,[status(thm)],[])).
% 14.81/10.11 tff(13211,plain,
% 14.81/10.11 ((~v195(constB35)) <=> v196(constB35)),
% 14.81/10.11 inference(unit_resolution,[status(thm)],[13210, 193])).
% 14.81/10.11 tff(13212,plain,
% 14.81/10.11 ((~![VarCurr: $i] : (v196(VarCurr) <=> (v197(VarCurr) | v26(VarCurr)))) | (v196(constB35) <=> (v197(constB35) | v26(constB35)))),
% 14.81/10.11 inference(quant_inst,[status(thm)],[])).
% 14.81/10.11 tff(13213,plain,
% 14.81/10.11 (v196(constB35) <=> (v197(constB35) | v26(constB35))),
% 14.81/10.11 inference(unit_resolution,[status(thm)],[13212, 202])).
% 14.81/10.11 tff(13214,plain,
% 14.81/10.11 ((~![VarCurr: $i] : (v197(VarCurr) <=> (~((~v39(VarCurr)) | (~v9(VarCurr)))))) | (v197(constB35) <=> (~((~v39(constB35)) | (~v9(constB35)))))),
% 14.81/10.11 inference(quant_inst,[status(thm)],[])).
% 14.81/10.11 tff(13215,plain,
% 14.81/10.11 (v197(constB35) <=> (~((~v39(constB35)) | (~v9(constB35))))),
% 14.81/10.11 inference(unit_resolution,[status(thm)],[13214, 120])).
% 14.81/10.11 tff(13216,plain,
% 14.81/10.11 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | ((~nextState(constB35, constB36)) | (v13(constB36) <=> v9(constB35)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | (~nextState(constB35, constB36)) | (v13(constB36) <=> v9(constB35)))),
% 14.81/10.11 inference(rewrite,[status(thm)],[])).
% 14.81/10.11 tff(13217,plain,
% 14.81/10.11 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | ((~nextState(constB35, constB36)) | (v13(constB36) <=> v9(constB35)))),
% 14.81/10.11 inference(quant_inst,[status(thm)],[])).
% 14.81/10.11 tff(13218,plain,
% 14.81/10.11 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | (~nextState(constB35, constB36)) | (v13(constB36) <=> v9(constB35))),
% 14.81/10.11 inference(modus_ponens,[status(thm)],[13217, 13216])).
% 14.81/10.11 tff(13219,plain,
% 14.81/10.11 (v13(constB36) <=> v9(constB35)),
% 14.81/10.11 inference(unit_resolution,[status(thm)],[13218, 3336, 216])).
% 14.81/10.11 tff(13220,plain,
% 14.81/10.11 ((~![VarNext: $i] : (v6(VarNext) <=> v13(VarNext))) | (v6(constB36) <=> v13(constB36))),
% 14.81/10.11 inference(quant_inst,[status(thm)],[])).
% 14.81/10.11 tff(13221,plain,
% 14.81/10.11 (v6(constB36) <=> v13(constB36)),
% 14.81/10.11 inference(unit_resolution,[status(thm)],[13220, 230])).
% 14.81/10.11 tff(13222,plain,
% 14.81/10.11 ((~![VarCurr: $i] : ((~v21(VarCurr)) <=> v6(VarCurr))) | ((~v21(constB36)) <=> v6(constB36))),
% 14.81/10.11 inference(quant_inst,[status(thm)],[])).
% 14.81/10.11 tff(13223,plain,
% 14.81/10.11 ((~v21(constB36)) <=> v6(constB36)),
% 14.81/10.11 inference(unit_resolution,[status(thm)],[13222, 239])).
% 14.81/10.11 tff(13224,plain,
% 14.81/10.11 ((~![VarCurr: $i] : (v19(VarCurr) <=> (v20(VarCurr) | v21(VarCurr)))) | (v19(constB36) <=> (v20(constB36) | v21(constB36)))),
% 14.81/10.11 inference(quant_inst,[status(thm)],[])).
% 14.81/10.11 tff(13225,plain,
% 14.81/10.11 (v19(constB36) <=> (v20(constB36) | v21(constB36))),
% 14.81/10.11 inference(unit_resolution,[status(thm)],[13224, 248])).
% 14.81/10.11 tff(13226,plain,
% 14.81/10.11 ((~![VarCurr: $i] : (v18(VarCurr) <=> (~((~v19(VarCurr)) | (~v22(VarCurr)))))) | (v18(constB36) <=> (~((~v19(constB36)) | (~v22(constB36)))))),
% 14.81/10.11 inference(quant_inst,[status(thm)],[])).
% 14.81/10.11 tff(13227,plain,
% 14.81/10.11 (v18(constB36) <=> (~((~v19(constB36)) | (~v22(constB36))))),
% 14.81/10.11 inference(unit_resolution,[status(thm)],[13226, 260])).
% 14.81/10.11 tff(13228,plain,
% 14.81/10.11 ((~![VarCurr: $i] : ((~v4(VarCurr)) <=> v18(VarCurr))) | ((~v4(constB36)) <=> v18(constB36))),
% 14.81/10.11 inference(quant_inst,[status(thm)],[])).
% 14.81/10.11 tff(13229,plain,
% 14.81/10.11 ((~v4(constB36)) <=> v18(constB36)),
% 14.81/10.11 inference(unit_resolution,[status(thm)],[13228, 269])).
% 14.81/10.11 tff(13230,plain,
% 14.81/10.11 ((~![VarCurr: $i] : v4(VarCurr)) | v4(constB36)),
% 14.81/10.11 inference(quant_inst,[status(thm)],[])).
% 14.81/10.11 tff(13231,plain,
% 14.81/10.11 (v4(constB36)),
% 14.81/10.11 inference(unit_resolution,[status(thm)],[13230, 278])).
% 14.81/10.11 tff(13232,plain,
% 14.81/10.11 ((~((~v4(constB36)) <=> v18(constB36))) | (~v4(constB36)) | (~v18(constB36))),
% 14.81/10.11 inference(tautology,[status(thm)],[])).
% 14.81/10.11 tff(13233,plain,
% 14.81/10.11 (~v18(constB36)),
% 14.81/10.11 inference(unit_resolution,[status(thm)],[13232, 13231, 13229])).
% 14.81/10.11 tff(13234,plain,
% 14.81/10.11 ((~(v18(constB36) <=> (~((~v19(constB36)) | (~v22(constB36)))))) | v18(constB36) | ((~v19(constB36)) | (~v22(constB36)))),
% 14.81/10.11 inference(tautology,[status(thm)],[])).
% 14.81/10.11 tff(13235,plain,
% 14.81/10.11 ((~v19(constB36)) | (~v22(constB36))),
% 14.81/10.11 inference(unit_resolution,[status(thm)],[13234, 13233, 13227])).
% 14.81/10.11 tff(13236,plain,
% 14.81/10.11 ((~![VarCurr: $i] : (v22(VarCurr) <=> (v1(VarCurr) | v6(VarCurr)))) | (v22(constB36) <=> (v1(constB36) | v6(constB36)))),
% 14.81/10.11 inference(quant_inst,[status(thm)],[])).
% 14.81/10.11 tff(13237,plain,
% 14.81/10.11 (v22(constB36) <=> (v1(constB36) | v6(constB36))),
% 14.81/10.11 inference(unit_resolution,[status(thm)],[13236, 291])).
% 14.81/10.11 tff(13238,plain,
% 14.81/10.11 ((v1(constB36) | v6(constB36)) | (~v1(constB36))),
% 14.81/10.11 inference(tautology,[status(thm)],[])).
% 14.81/10.11 tff(13239,plain,
% 14.81/10.11 (v1(constB36) | v6(constB36)),
% 14.81/10.11 inference(unit_resolution,[status(thm)],[13238, 3366])).
% 14.81/10.11 tff(13240,plain,
% 14.81/10.11 ((~(v22(constB36) <=> (v1(constB36) | v6(constB36)))) | v22(constB36) | (~(v1(constB36) | v6(constB36)))),
% 14.81/10.11 inference(tautology,[status(thm)],[])).
% 14.81/10.11 tff(13241,plain,
% 14.81/10.11 ((~(v22(constB36) <=> (v1(constB36) | v6(constB36)))) | v22(constB36)),
% 14.81/10.11 inference(unit_resolution,[status(thm)],[13240, 13239])).
% 14.81/10.11 tff(13242,plain,
% 14.81/10.11 (v22(constB36)),
% 14.81/10.11 inference(unit_resolution,[status(thm)],[13241, 13237])).
% 14.81/10.11 tff(13243,plain,
% 14.81/10.11 ((~((~v19(constB36)) | (~v22(constB36)))) | (~v19(constB36)) | (~v22(constB36))),
% 14.91/10.11 inference(tautology,[status(thm)],[])).
% 14.91/10.11 tff(13244,plain,
% 14.91/10.11 ((~((~v19(constB36)) | (~v22(constB36)))) | (~v19(constB36))),
% 14.91/10.11 inference(unit_resolution,[status(thm)],[13243, 13242])).
% 14.91/10.11 tff(13245,plain,
% 14.91/10.11 (~v19(constB36)),
% 14.91/10.11 inference(unit_resolution,[status(thm)],[13244, 13235])).
% 14.91/10.11 tff(13246,plain,
% 14.91/10.11 ((~(v19(constB36) <=> (v20(constB36) | v21(constB36)))) | v19(constB36) | (~(v20(constB36) | v21(constB36)))),
% 14.91/10.11 inference(tautology,[status(thm)],[])).
% 14.91/10.11 tff(13247,plain,
% 14.91/10.11 (~(v20(constB36) | v21(constB36))),
% 14.91/10.11 inference(unit_resolution,[status(thm)],[13246, 13245, 13225])).
% 14.91/10.11 tff(13248,plain,
% 14.91/10.11 ((v20(constB36) | v21(constB36)) | (~v21(constB36))),
% 14.91/10.11 inference(tautology,[status(thm)],[])).
% 14.91/10.11 tff(13249,plain,
% 14.91/10.11 (~v21(constB36)),
% 14.91/10.11 inference(unit_resolution,[status(thm)],[13248, 13247])).
% 14.91/10.11 tff(13250,plain,
% 14.91/10.11 ((~((~v21(constB36)) <=> v6(constB36))) | v21(constB36) | v6(constB36)),
% 14.91/10.11 inference(tautology,[status(thm)],[])).
% 14.91/10.11 tff(13251,plain,
% 14.91/10.11 (v6(constB36)),
% 14.91/10.11 inference(unit_resolution,[status(thm)],[13250, 13249, 13223])).
% 14.91/10.11 tff(13252,plain,
% 14.91/10.11 ((~(v6(constB36) <=> v13(constB36))) | (~v6(constB36)) | v13(constB36)),
% 14.91/10.11 inference(tautology,[status(thm)],[])).
% 14.91/10.11 tff(13253,plain,
% 14.91/10.11 (v13(constB36)),
% 14.91/10.11 inference(unit_resolution,[status(thm)],[13252, 13251, 13221])).
% 14.91/10.11 tff(13254,plain,
% 14.91/10.11 ((~(v13(constB36) <=> v9(constB35))) | (~v13(constB36)) | v9(constB35)),
% 14.91/10.11 inference(tautology,[status(thm)],[])).
% 14.91/10.11 tff(13255,plain,
% 14.91/10.11 (v9(constB35)),
% 14.91/10.11 inference(unit_resolution,[status(thm)],[13254, 13253, 13219])).
% 14.91/10.11 tff(13256,plain,
% 14.91/10.11 ((~![VarCurr: $i] : ((~v39(VarCurr)) <=> v1(VarCurr))) | ((~v39(constB35)) <=> v1(constB35))),
% 14.91/10.11 inference(quant_inst,[status(thm)],[])).
% 14.91/10.11 tff(13257,plain,
% 14.91/10.11 ((~v39(constB35)) <=> v1(constB35)),
% 14.91/10.11 inference(unit_resolution,[status(thm)],[13256, 129])).
% 14.91/10.11 tff(13258,plain,
% 14.91/10.11 ((~((~v39(constB35)) <=> v1(constB35))) | v39(constB35) | v1(constB35)),
% 14.91/10.11 inference(tautology,[status(thm)],[])).
% 14.91/10.11 tff(13259,plain,
% 14.91/10.11 ((~((~v39(constB35)) <=> v1(constB35))) | v39(constB35)),
% 14.91/10.11 inference(unit_resolution,[status(thm)],[13258, 3358])).
% 14.91/10.11 tff(13260,plain,
% 14.91/10.11 (v39(constB35)),
% 14.91/10.11 inference(unit_resolution,[status(thm)],[13259, 13257])).
% 14.91/10.11 tff(13261,plain,
% 14.91/10.11 ((~((~v39(constB35)) | (~v9(constB35)))) | (~v39(constB35)) | (~v9(constB35))),
% 14.91/10.11 inference(tautology,[status(thm)],[])).
% 14.91/10.11 tff(13262,plain,
% 14.91/10.11 ((~((~v39(constB35)) | (~v9(constB35)))) | (~v9(constB35))),
% 14.91/10.11 inference(unit_resolution,[status(thm)],[13261, 13260])).
% 14.91/10.11 tff(13263,plain,
% 14.91/10.11 (~((~v39(constB35)) | (~v9(constB35)))),
% 14.91/10.11 inference(unit_resolution,[status(thm)],[13262, 13255])).
% 14.91/10.11 tff(13264,plain,
% 14.91/10.11 ((~(v197(constB35) <=> (~((~v39(constB35)) | (~v9(constB35)))))) | v197(constB35) | ((~v39(constB35)) | (~v9(constB35)))),
% 14.91/10.11 inference(tautology,[status(thm)],[])).
% 14.91/10.11 tff(13265,plain,
% 14.91/10.11 (v197(constB35)),
% 14.91/10.11 inference(unit_resolution,[status(thm)],[13264, 13263, 13215])).
% 14.91/10.11 tff(13266,plain,
% 14.91/10.11 ((v197(constB35) | v26(constB35)) | (~v197(constB35))),
% 14.91/10.11 inference(tautology,[status(thm)],[])).
% 14.91/10.11 tff(13267,plain,
% 14.91/10.11 (v197(constB35) | v26(constB35)),
% 14.91/10.11 inference(unit_resolution,[status(thm)],[13266, 13265])).
% 14.91/10.11 tff(13268,plain,
% 14.91/10.11 ((~(v196(constB35) <=> (v197(constB35) | v26(constB35)))) | v196(constB35) | (~(v197(constB35) | v26(constB35)))),
% 14.91/10.11 inference(tautology,[status(thm)],[])).
% 14.91/10.11 tff(13269,plain,
% 14.91/10.11 (v196(constB35)),
% 14.91/10.11 inference(unit_resolution,[status(thm)],[13268, 13267, 13213])).
% 14.91/10.11 tff(13270,plain,
% 14.91/10.11 ((~((~v195(constB35)) <=> v196(constB35))) | (~v195(constB35)) | (~v196(constB35))),
% 14.91/10.11 inference(tautology,[status(thm)],[])).
% 14.91/10.11 tff(13271,plain,
% 14.91/10.11 (~v195(constB35)),
% 14.91/10.11 inference(unit_resolution,[status(thm)],[13270, 13269, 13211])).
% 14.91/10.11 tff(13272,plain,
% 14.91/10.11 (((~v157(constB35)) | (~v195(constB35))) | v195(constB35)),
% 14.91/10.11 inference(tautology,[status(thm)],[])).
% 14.91/10.11 tff(13273,plain,
% 14.91/10.11 ((~v157(constB35)) | (~v195(constB35))),
% 14.91/10.11 inference(unit_resolution,[status(thm)],[13272, 13271])).
% 14.91/10.11 tff(13274,plain,
% 14.91/10.11 ((~(v194(constB35) <=> (~((~v157(constB35)) | (~v195(constB35)))))) | (~v194(constB35)) | (~((~v157(constB35)) | (~v195(constB35))))),
% 14.91/10.12 inference(tautology,[status(thm)],[])).
% 14.91/10.12 tff(13275,plain,
% 14.91/10.12 (~v194(constB35)),
% 14.91/10.12 inference(unit_resolution,[status(thm)],[13274, 13273, 13209])).
% 14.91/10.12 tff(13276,plain,
% 14.91/10.12 ((~![VarCurr: $i] : (v198(VarCurr) <=> (~((~v199(VarCurr)) | (~v200(VarCurr)))))) | (v198(constB35) <=> (~((~v199(constB35)) | (~v200(constB35)))))),
% 14.91/10.12 inference(quant_inst,[status(thm)],[])).
% 14.91/10.12 tff(13277,plain,
% 14.91/10.12 (v198(constB35) <=> (~((~v199(constB35)) | (~v200(constB35))))),
% 14.91/10.12 inference(unit_resolution,[status(thm)],[13276, 96])).
% 14.91/10.12 tff(13278,plain,
% 14.91/10.12 ((~![VarCurr: $i] : (v200(VarCurr) <=> (~((~v197(VarCurr)) | (~v201(VarCurr)))))) | (v200(constB35) <=> (~((~v197(constB35)) | (~v201(constB35)))))),
% 14.91/10.12 inference(quant_inst,[status(thm)],[])).
% 14.91/10.12 tff(13279,plain,
% 14.91/10.12 (v200(constB35) <=> (~((~v197(constB35)) | (~v201(constB35))))),
% 14.91/10.12 inference(unit_resolution,[status(thm)],[13278, 108])).
% 14.91/10.12 tff(13280,plain,
% 14.91/10.12 ((~![VarCurr: $i] : (v201(VarCurr) <=> (~((~v159(VarCurr)) | (~v161(VarCurr)))))) | (v201(constB35) <=> (~((~v159(constB35)) | (~v161(constB35)))))),
% 14.91/10.12 inference(quant_inst,[status(thm)],[])).
% 14.91/10.12 tff(13281,plain,
% 14.91/10.12 (v201(constB35) <=> (~((~v159(constB35)) | (~v161(constB35))))),
% 14.91/10.12 inference(unit_resolution,[status(thm)],[13280, 348])).
% 14.91/10.12 tff(13282,plain,
% 14.91/10.12 ((~![VarCurr: $i] : (v161(VarCurr) <=> v163(VarCurr))) | (v161(constB35) <=> v163(constB35))),
% 14.91/10.12 inference(quant_inst,[status(thm)],[])).
% 14.91/10.12 tff(13283,plain,
% 14.91/10.12 (v161(constB35) <=> v163(constB35)),
% 14.91/10.12 inference(unit_resolution,[status(thm)],[13282, 357])).
% 14.91/10.12 tff(13284,plain,
% 14.91/10.12 ((~![VarCurr: $i] : (v171(VarCurr) <=> (v142(VarCurr) | v150(VarCurr)))) | (v171(constB35) <=> (v142(constB35) | v150(constB35)))),
% 14.91/10.12 inference(quant_inst,[status(thm)],[])).
% 14.91/10.12 tff(13285,plain,
% 14.91/10.12 (v171(constB35) <=> (v142(constB35) | v150(constB35))),
% 14.91/10.12 inference(unit_resolution,[status(thm)],[13284, 369])).
% 14.91/10.12 tff(13286,plain,
% 14.91/10.12 ((~![VarCurr: $i] : (v142(VarCurr) <=> (v143(VarCurr) | v144(VarCurr)))) | (v142(constB35) <=> (v143(constB35) | v144(constB35)))),
% 14.91/10.12 inference(quant_inst,[status(thm)],[])).
% 14.91/10.12 tff(13287,plain,
% 14.91/10.12 (v142(constB35) <=> (v143(constB35) | v144(constB35))),
% 14.91/10.12 inference(unit_resolution,[status(thm)],[13286, 378])).
% 14.91/10.12 tff(13288,plain,
% 14.91/10.12 (((~![VarCurr: $i] : (v144(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex2)))))) | (v144(constB35) <=> (~((~v88(constB35, bitIndex2)) | (~v88(constB35, bitIndex1)) | v88(constB35, bitIndex0))))) <=> ((~![VarCurr: $i] : (v144(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex2)))))) | (v144(constB35) <=> (~((~v88(constB35, bitIndex2)) | (~v88(constB35, bitIndex1)) | v88(constB35, bitIndex0)))))),
% 14.91/10.12 inference(rewrite,[status(thm)],[])).
% 14.91/10.12 tff(13289,plain,
% 14.91/10.12 ((v144(constB35) <=> (~(v88(constB35, bitIndex0) | (~v88(constB35, bitIndex1)) | (~v88(constB35, bitIndex2))))) <=> (v144(constB35) <=> (~((~v88(constB35, bitIndex2)) | (~v88(constB35, bitIndex1)) | v88(constB35, bitIndex0))))),
% 14.91/10.12 inference(rewrite,[status(thm)],[])).
% 14.91/10.12 tff(13290,plain,
% 14.91/10.12 (((~![VarCurr: $i] : (v144(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex2)))))) | (v144(constB35) <=> (~(v88(constB35, bitIndex0) | (~v88(constB35, bitIndex1)) | (~v88(constB35, bitIndex2)))))) <=> ((~![VarCurr: $i] : (v144(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex2)))))) | (v144(constB35) <=> (~((~v88(constB35, bitIndex2)) | (~v88(constB35, bitIndex1)) | v88(constB35, bitIndex0)))))),
% 14.91/10.12 inference(monotonicity,[status(thm)],[13289])).
% 14.91/10.12 tff(13291,plain,
% 14.91/10.12 (((~![VarCurr: $i] : (v144(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex2)))))) | (v144(constB35) <=> (~(v88(constB35, bitIndex0) | (~v88(constB35, bitIndex1)) | (~v88(constB35, bitIndex2)))))) <=> ((~![VarCurr: $i] : (v144(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex2)))))) | (v144(constB35) <=> (~((~v88(constB35, bitIndex2)) | (~v88(constB35, bitIndex1)) | v88(constB35, bitIndex0)))))),
% 14.91/10.12 inference(transitivity,[status(thm)],[13290, 13288])).
% 14.91/10.12 tff(13292,plain,
% 14.91/10.12 ((~![VarCurr: $i] : (v144(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex2)))))) | (v144(constB35) <=> (~(v88(constB35, bitIndex0) | (~v88(constB35, bitIndex1)) | (~v88(constB35, bitIndex2)))))),
% 14.91/10.12 inference(quant_inst,[status(thm)],[])).
% 14.91/10.12 tff(13293,plain,
% 14.91/10.12 ((~![VarCurr: $i] : (v144(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex2)))))) | (v144(constB35) <=> (~((~v88(constB35, bitIndex2)) | (~v88(constB35, bitIndex1)) | v88(constB35, bitIndex0))))),
% 14.91/10.12 inference(modus_ponens,[status(thm)],[13292, 13291])).
% 14.91/10.12 tff(13294,plain,
% 14.91/10.12 (v144(constB35) <=> (~((~v88(constB35, bitIndex2)) | (~v88(constB35, bitIndex1)) | v88(constB35, bitIndex0)))),
% 14.91/10.12 inference(unit_resolution,[status(thm)],[13293, 393])).
% 14.91/10.12 tff(13295,plain,
% 14.91/10.12 (((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | ((~less_3(bitIndex2)) | (v88(constB35, bitIndex2) <=> v90(constB35, bitIndex2)))) <=> ((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | (~less_3(bitIndex2)) | (v88(constB35, bitIndex2) <=> v90(constB35, bitIndex2)))),
% 14.91/10.12 inference(rewrite,[status(thm)],[])).
% 14.91/10.12 tff(13296,plain,
% 14.91/10.12 ((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | ((~less_3(bitIndex2)) | (v88(constB35, bitIndex2) <=> v90(constB35, bitIndex2)))),
% 14.91/10.12 inference(quant_inst,[status(thm)],[])).
% 14.91/10.12 tff(13297,plain,
% 14.91/10.12 ((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | (~less_3(bitIndex2)) | (v88(constB35, bitIndex2) <=> v90(constB35, bitIndex2))),
% 14.91/10.12 inference(modus_ponens,[status(thm)],[13296, 13295])).
% 14.91/10.12 tff(13298,plain,
% 14.91/10.12 (v88(constB35, bitIndex2) <=> v90(constB35, bitIndex2)),
% 14.91/10.12 inference(unit_resolution,[status(thm)],[13297, 413, 410])).
% 14.91/10.12 tff(13299,plain,
% 14.91/10.12 ((~(v88(constB35, bitIndex2) <=> v90(constB35, bitIndex2))) | v88(constB35, bitIndex2) | (~v90(constB35, bitIndex2))),
% 14.91/10.12 inference(tautology,[status(thm)],[])).
% 14.91/10.12 tff(13300,plain,
% 14.91/10.12 (v88(constB35, bitIndex2)),
% 14.91/10.12 inference(unit_resolution,[status(thm)],[13299, 7983, 13298])).
% 14.91/10.12 tff(13301,plain,
% 14.91/10.12 (((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | ((~less_3(bitIndex0)) | (v88(constB35, bitIndex0) <=> v90(constB35, bitIndex0)))) <=> ((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | (~less_3(bitIndex0)) | (v88(constB35, bitIndex0) <=> v90(constB35, bitIndex0)))),
% 14.91/10.12 inference(rewrite,[status(thm)],[])).
% 14.91/10.12 tff(13302,plain,
% 14.91/10.12 ((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | ((~less_3(bitIndex0)) | (v88(constB35, bitIndex0) <=> v90(constB35, bitIndex0)))),
% 14.91/10.12 inference(quant_inst,[status(thm)],[])).
% 14.91/10.12 tff(13303,plain,
% 14.91/10.12 ((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | (~less_3(bitIndex0)) | (v88(constB35, bitIndex0) <=> v90(constB35, bitIndex0))),
% 14.91/10.12 inference(modus_ponens,[status(thm)],[13302, 13301])).
% 14.91/10.12 tff(13304,plain,
% 14.91/10.12 (v88(constB35, bitIndex0) <=> v90(constB35, bitIndex0)),
% 14.91/10.12 inference(unit_resolution,[status(thm)],[13303, 5004, 410])).
% 14.91/10.12 tff(13305,plain,
% 14.91/10.12 ((~(v88(constB35, bitIndex0) <=> v90(constB35, bitIndex0))) | (~v88(constB35, bitIndex0)) | v90(constB35, bitIndex0)),
% 14.91/10.12 inference(tautology,[status(thm)],[])).
% 14.91/10.12 tff(13306,plain,
% 14.91/10.12 (~v88(constB35, bitIndex0)),
% 14.91/10.12 inference(unit_resolution,[status(thm)],[13305, 8014, 13304])).
% 14.91/10.12 tff(13307,plain,
% 14.91/10.12 (((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | ((~less_3(bitIndex1)) | (v88(constB35, bitIndex1) <=> v90(constB35, bitIndex1)))) <=> ((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | (~less_3(bitIndex1)) | (v88(constB35, bitIndex1) <=> v90(constB35, bitIndex1)))),
% 14.91/10.12 inference(rewrite,[status(thm)],[])).
% 14.91/10.12 tff(13308,plain,
% 14.91/10.12 ((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | ((~less_3(bitIndex1)) | (v88(constB35, bitIndex1) <=> v90(constB35, bitIndex1)))),
% 14.91/10.12 inference(quant_inst,[status(thm)],[])).
% 14.91/10.12 tff(13309,plain,
% 14.91/10.12 ((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | (~less_3(bitIndex1)) | (v88(constB35, bitIndex1) <=> v90(constB35, bitIndex1))),
% 14.91/10.12 inference(modus_ponens,[status(thm)],[13308, 13307])).
% 14.91/10.12 tff(13310,plain,
% 14.91/10.12 (v88(constB35, bitIndex1) <=> v90(constB35, bitIndex1)),
% 14.91/10.12 inference(unit_resolution,[status(thm)],[13309, 5017, 410])).
% 14.91/10.12 tff(13311,plain,
% 14.91/10.12 ((~(v88(constB35, bitIndex1) <=> v90(constB35, bitIndex1))) | v88(constB35, bitIndex1) | (~v90(constB35, bitIndex1))),
% 14.91/10.12 inference(tautology,[status(thm)],[])).
% 14.91/10.12 tff(13312,plain,
% 14.91/10.12 (v88(constB35, bitIndex1)),
% 14.91/10.12 inference(unit_resolution,[status(thm)],[13311, 8045, 13310])).
% 14.91/10.12 tff(13313,plain,
% 14.91/10.12 ((~((~v88(constB35, bitIndex2)) | (~v88(constB35, bitIndex1)) | v88(constB35, bitIndex0))) | (~v88(constB35, bitIndex2)) | (~v88(constB35, bitIndex1)) | v88(constB35, bitIndex0)),
% 14.91/10.12 inference(tautology,[status(thm)],[])).
% 14.91/10.12 tff(13314,plain,
% 14.91/10.12 (~((~v88(constB35, bitIndex2)) | (~v88(constB35, bitIndex1)) | v88(constB35, bitIndex0))),
% 14.91/10.12 inference(unit_resolution,[status(thm)],[13313, 13312, 13306, 13300])).
% 14.91/10.12 tff(13315,plain,
% 14.91/10.12 ((~(v144(constB35) <=> (~((~v88(constB35, bitIndex2)) | (~v88(constB35, bitIndex1)) | v88(constB35, bitIndex0))))) | v144(constB35) | ((~v88(constB35, bitIndex2)) | (~v88(constB35, bitIndex1)) | v88(constB35, bitIndex0))),
% 14.91/10.12 inference(tautology,[status(thm)],[])).
% 14.91/10.12 tff(13316,plain,
% 14.91/10.12 (v144(constB35)),
% 14.91/10.12 inference(unit_resolution,[status(thm)],[13315, 13314, 13294])).
% 14.91/10.12 tff(13317,plain,
% 14.91/10.12 ((v143(constB35) | v144(constB35)) | (~v144(constB35))),
% 14.91/10.12 inference(tautology,[status(thm)],[])).
% 14.91/10.12 tff(13318,plain,
% 14.91/10.12 (v143(constB35) | v144(constB35)),
% 14.91/10.12 inference(unit_resolution,[status(thm)],[13317, 13316])).
% 14.91/10.12 tff(13319,plain,
% 14.91/10.12 ((~(v142(constB35) <=> (v143(constB35) | v144(constB35)))) | v142(constB35) | (~(v143(constB35) | v144(constB35)))),
% 14.91/10.12 inference(tautology,[status(thm)],[])).
% 14.91/10.12 tff(13320,plain,
% 14.91/10.12 (v142(constB35)),
% 14.91/10.12 inference(unit_resolution,[status(thm)],[13319, 13318, 13287])).
% 14.91/10.12 tff(13321,plain,
% 14.91/10.12 ((v142(constB35) | v150(constB35)) | (~v142(constB35))),
% 14.91/10.12 inference(tautology,[status(thm)],[])).
% 14.91/10.12 tff(13322,plain,
% 14.91/10.12 (v142(constB35) | v150(constB35)),
% 14.91/10.12 inference(unit_resolution,[status(thm)],[13321, 13320])).
% 14.91/10.12 tff(13323,plain,
% 14.91/10.12 ((~(v171(constB35) <=> (v142(constB35) | v150(constB35)))) | v171(constB35) | (~(v142(constB35) | v150(constB35)))),
% 14.91/10.12 inference(tautology,[status(thm)],[])).
% 14.91/10.12 tff(13324,plain,
% 14.91/10.12 (v171(constB35)),
% 14.91/10.12 inference(unit_resolution,[status(thm)],[13323, 13322, 13285])).
% 14.91/10.12 tff(13325,plain,
% 14.91/10.12 (((~![VarCurr: $i] : ((~v171(VarCurr)) | (~v170(VarCurr)))) | ((~v170(constB35)) | (~v171(constB35)))) <=> ((~![VarCurr: $i] : ((~v171(VarCurr)) | (~v170(VarCurr)))) | (~v170(constB35)) | (~v171(constB35)))),
% 14.91/10.12 inference(rewrite,[status(thm)],[])).
% 14.91/10.12 tff(13326,plain,
% 14.91/10.12 (((~v171(constB35)) | (~v170(constB35))) <=> ((~v170(constB35)) | (~v171(constB35)))),
% 14.91/10.12 inference(rewrite,[status(thm)],[])).
% 14.91/10.12 tff(13327,plain,
% 14.91/10.12 (((~![VarCurr: $i] : ((~v171(VarCurr)) | (~v170(VarCurr)))) | ((~v171(constB35)) | (~v170(constB35)))) <=> ((~![VarCurr: $i] : ((~v171(VarCurr)) | (~v170(VarCurr)))) | ((~v170(constB35)) | (~v171(constB35))))),
% 14.91/10.12 inference(monotonicity,[status(thm)],[13326])).
% 14.91/10.12 tff(13328,plain,
% 14.91/10.12 (((~![VarCurr: $i] : ((~v171(VarCurr)) | (~v170(VarCurr)))) | ((~v171(constB35)) | (~v170(constB35)))) <=> ((~![VarCurr: $i] : ((~v171(VarCurr)) | (~v170(VarCurr)))) | (~v170(constB35)) | (~v171(constB35)))),
% 14.91/10.12 inference(transitivity,[status(thm)],[13327, 13325])).
% 14.91/10.12 tff(13329,plain,
% 14.91/10.12 ((~![VarCurr: $i] : ((~v171(VarCurr)) | (~v170(VarCurr)))) | ((~v171(constB35)) | (~v170(constB35)))),
% 14.91/10.12 inference(quant_inst,[status(thm)],[])).
% 14.91/10.12 tff(13330,plain,
% 14.91/10.12 ((~![VarCurr: $i] : ((~v171(VarCurr)) | (~v170(VarCurr)))) | (~v170(constB35)) | (~v171(constB35))),
% 14.91/10.12 inference(modus_ponens,[status(thm)],[13329, 13328])).
% 14.91/10.12 tff(13331,plain,
% 14.91/10.12 ((~v170(constB35)) | (~v171(constB35))),
% 14.91/10.12 inference(unit_resolution,[status(thm)],[13330, 13061])).
% 14.91/10.12 tff(13332,plain,
% 14.91/10.12 (~v170(constB35)),
% 14.91/10.12 inference(unit_resolution,[status(thm)],[13331, 13324])).
% 14.91/10.12 tff(13333,plain,
% 14.91/10.12 ((~![VarCurr: $i] : (v166(VarCurr) <=> (v145(VarCurr) | v167(VarCurr)))) | (v166(constB35) <=> (v145(constB35) | v167(constB35)))),
% 14.91/10.12 inference(quant_inst,[status(thm)],[])).
% 14.91/10.12 tff(13334,plain,
% 14.91/10.12 (v166(constB35) <=> (v145(constB35) | v167(constB35))),
% 14.91/10.12 inference(unit_resolution,[status(thm)],[13333, 13079])).
% 14.91/10.12 tff(13335,plain,
% 14.91/10.12 ((~![VarCurr: $i] : (v167(VarCurr) <=> (v142(VarCurr) | v168(VarCurr)))) | (v167(constB35) <=> (v142(constB35) | v168(constB35)))),
% 14.91/10.12 inference(quant_inst,[status(thm)],[])).
% 14.91/10.12 tff(13336,plain,
% 14.91/10.12 (v167(constB35) <=> (v142(constB35) | v168(constB35))),
% 14.91/10.12 inference(unit_resolution,[status(thm)],[13335, 13091])).
% 14.91/10.12 tff(13337,plain,
% 14.91/10.12 ((v142(constB35) | v168(constB35)) | (~v142(constB35))),
% 14.91/10.12 inference(tautology,[status(thm)],[])).
% 14.91/10.12 tff(13338,plain,
% 14.91/10.12 (v142(constB35) | v168(constB35)),
% 14.91/10.12 inference(unit_resolution,[status(thm)],[13337, 13320])).
% 14.91/10.12 tff(13339,plain,
% 14.91/10.12 ((~(v167(constB35) <=> (v142(constB35) | v168(constB35)))) | v167(constB35) | (~(v142(constB35) | v168(constB35)))),
% 14.91/10.12 inference(tautology,[status(thm)],[])).
% 14.91/10.12 tff(13340,plain,
% 14.91/10.12 (v167(constB35)),
% 14.91/10.12 inference(unit_resolution,[status(thm)],[13339, 13338, 13336])).
% 14.91/10.12 tff(13341,plain,
% 14.91/10.12 ((v145(constB35) | v167(constB35)) | (~v167(constB35))),
% 14.91/10.12 inference(tautology,[status(thm)],[])).
% 14.91/10.12 tff(13342,plain,
% 14.91/10.12 (v145(constB35) | v167(constB35)),
% 14.91/10.12 inference(unit_resolution,[status(thm)],[13341, 13340])).
% 14.91/10.12 tff(13343,plain,
% 14.91/10.12 ((~(v166(constB35) <=> (v145(constB35) | v167(constB35)))) | v166(constB35) | (~(v145(constB35) | v167(constB35)))),
% 14.91/10.12 inference(tautology,[status(thm)],[])).
% 14.91/10.12 tff(13344,plain,
% 14.91/10.12 (v166(constB35)),
% 14.91/10.12 inference(unit_resolution,[status(thm)],[13343, 13342, 13334])).
% 14.91/10.12 tff(13345,plain,
% 14.91/10.12 (((~![VarNext: $i] : ((~v166(VarNext)) | (v163(VarNext) <=> v170(VarNext)))) | ((~v166(constB35)) | (v163(constB35) <=> v170(constB35)))) <=> ((~![VarNext: $i] : ((~v166(VarNext)) | (v163(VarNext) <=> v170(VarNext)))) | (~v166(constB35)) | (v163(constB35) <=> v170(constB35)))),
% 14.91/10.12 inference(rewrite,[status(thm)],[])).
% 14.91/10.12 tff(13346,plain,
% 14.91/10.12 ((~![VarNext: $i] : ((~v166(VarNext)) | (v163(VarNext) <=> v170(VarNext)))) | ((~v166(constB35)) | (v163(constB35) <=> v170(constB35)))),
% 14.91/10.12 inference(quant_inst,[status(thm)],[])).
% 14.91/10.12 tff(13347,plain,
% 14.91/10.12 ((~![VarNext: $i] : ((~v166(VarNext)) | (v163(VarNext) <=> v170(VarNext)))) | (~v166(constB35)) | (v163(constB35) <=> v170(constB35))),
% 14.91/10.12 inference(modus_ponens,[status(thm)],[13346, 13345])).
% 14.91/10.12 tff(13348,plain,
% 14.91/10.12 ((~v166(constB35)) | (v163(constB35) <=> v170(constB35))),
% 14.91/10.12 inference(unit_resolution,[status(thm)],[13347, 13111])).
% 14.91/10.12 tff(13349,plain,
% 14.91/10.12 (v163(constB35) <=> v170(constB35)),
% 14.91/10.12 inference(unit_resolution,[status(thm)],[13348, 13344])).
% 14.91/10.12 tff(13350,plain,
% 14.91/10.12 ((~(v163(constB35) <=> v170(constB35))) | (~v163(constB35)) | v170(constB35)),
% 14.91/10.12 inference(tautology,[status(thm)],[])).
% 14.91/10.12 tff(13351,plain,
% 14.91/10.12 (~v163(constB35)),
% 14.91/10.12 inference(unit_resolution,[status(thm)],[13350, 13349, 13332])).
% 14.91/10.12 tff(13352,plain,
% 14.91/10.12 ((~(v161(constB35) <=> v163(constB35))) | (~v161(constB35)) | v163(constB35)),
% 14.91/10.12 inference(tautology,[status(thm)],[])).
% 14.91/10.12 tff(13353,plain,
% 14.91/10.12 (~v161(constB35)),
% 14.91/10.12 inference(unit_resolution,[status(thm)],[13352, 13351, 13283])).
% 14.91/10.12 tff(13354,plain,
% 14.91/10.12 (((~v159(constB35)) | (~v161(constB35))) | v161(constB35)),
% 14.91/10.12 inference(tautology,[status(thm)],[])).
% 14.91/10.12 tff(13355,plain,
% 14.91/10.12 ((~v159(constB35)) | (~v161(constB35))),
% 14.91/10.12 inference(unit_resolution,[status(thm)],[13354, 13353])).
% 14.91/10.12 tff(13356,plain,
% 14.91/10.12 ((~(v201(constB35) <=> (~((~v159(constB35)) | (~v161(constB35)))))) | (~v201(constB35)) | (~((~v159(constB35)) | (~v161(constB35))))),
% 14.91/10.12 inference(tautology,[status(thm)],[])).
% 14.91/10.12 tff(13357,plain,
% 14.91/10.12 (~v201(constB35)),
% 14.91/10.12 inference(unit_resolution,[status(thm)],[13356, 13355, 13281])).
% 14.91/10.12 tff(13358,plain,
% 14.91/10.12 (((~v197(constB35)) | (~v201(constB35))) | v201(constB35)),
% 14.91/10.12 inference(tautology,[status(thm)],[])).
% 14.91/10.12 tff(13359,plain,
% 14.91/10.12 ((~v197(constB35)) | (~v201(constB35))),
% 14.91/10.12 inference(unit_resolution,[status(thm)],[13358, 13357])).
% 14.91/10.12 tff(13360,plain,
% 14.91/10.12 ((~(v200(constB35) <=> (~((~v197(constB35)) | (~v201(constB35)))))) | (~v200(constB35)) | (~((~v197(constB35)) | (~v201(constB35))))),
% 14.91/10.12 inference(tautology,[status(thm)],[])).
% 14.91/10.12 tff(13361,plain,
% 14.91/10.12 (~v200(constB35)),
% 14.91/10.12 inference(unit_resolution,[status(thm)],[13360, 13359, 13279])).
% 14.91/10.12 tff(13362,plain,
% 14.91/10.12 (((~v199(constB35)) | (~v200(constB35))) | v200(constB35)),
% 14.91/10.12 inference(tautology,[status(thm)],[])).
% 14.91/10.12 tff(13363,plain,
% 14.91/10.12 ((~v199(constB35)) | (~v200(constB35))),
% 14.91/10.12 inference(unit_resolution,[status(thm)],[13362, 13361])).
% 14.91/10.12 tff(13364,plain,
% 14.91/10.12 ((~(v198(constB35) <=> (~((~v199(constB35)) | (~v200(constB35)))))) | (~v198(constB35)) | (~((~v199(constB35)) | (~v200(constB35))))),
% 14.91/10.12 inference(tautology,[status(thm)],[])).
% 14.91/10.12 tff(13365,plain,
% 14.91/10.12 (~v198(constB35)),
% 14.91/10.12 inference(unit_resolution,[status(thm)],[13364, 13363, 13277])).
% 14.91/10.12 tff(13366,plain,
% 14.91/10.12 ((~(v194(constB35) | v198(constB35))) | v194(constB35) | v198(constB35)),
% 14.91/10.12 inference(tautology,[status(thm)],[])).
% 14.91/10.12 tff(13367,plain,
% 14.91/10.12 (~(v194(constB35) | v198(constB35))),
% 14.91/10.12 inference(unit_resolution,[status(thm)],[13366, 13365, 13275])).
% 14.91/10.12 tff(13368,plain,
% 14.91/10.12 ((~(v191(constB35) <=> (v194(constB35) | v198(constB35)))) | (~v191(constB35)) | (v194(constB35) | v198(constB35))),
% 14.91/10.12 inference(tautology,[status(thm)],[])).
% 14.91/10.12 tff(13369,plain,
% 14.91/10.12 (~v191(constB35)),
% 14.91/10.12 inference(unit_resolution,[status(thm)],[13368, 13367, 13202])).
% 14.91/10.12 tff(13370,plain,
% 14.91/10.12 ((~(v193(constB36) <=> v191(constB35))) | (~v193(constB36)) | v191(constB35)),
% 14.91/10.12 inference(tautology,[status(thm)],[])).
% 14.91/10.12 tff(13371,plain,
% 14.91/10.12 (~v193(constB36)),
% 14.91/10.12 inference(unit_resolution,[status(thm)],[13370, 13369, 13200])).
% 14.91/10.12 tff(13372,plain,
% 14.91/10.12 ((~(v157(constB36) <=> v193(constB36))) | (~v157(constB36)) | v193(constB36)),
% 14.91/10.12 inference(tautology,[status(thm)],[])).
% 14.91/10.12 tff(13373,plain,
% 14.91/10.12 (~v157(constB36)),
% 14.91/10.12 inference(unit_resolution,[status(thm)],[13372, 13371, 13196])).
% 14.91/10.13 tff(13374,plain,
% 14.91/10.13 (((~v157(constB36)) | (~v195(constB36))) | v157(constB36)),
% 14.91/10.13 inference(tautology,[status(thm)],[])).
% 14.91/10.13 tff(13375,plain,
% 14.91/10.13 ((~v157(constB36)) | (~v195(constB36))),
% 14.91/10.13 inference(unit_resolution,[status(thm)],[13374, 13373])).
% 14.91/10.13 tff(13376,plain,
% 14.91/10.13 ((~(v194(constB36) <=> (~((~v157(constB36)) | (~v195(constB36)))))) | (~v194(constB36)) | (~((~v157(constB36)) | (~v195(constB36))))),
% 14.91/10.13 inference(tautology,[status(thm)],[])).
% 14.91/10.13 tff(13377,plain,
% 14.91/10.13 (~v194(constB36)),
% 14.91/10.13 inference(unit_resolution,[status(thm)],[13376, 13375, 13194])).
% 14.91/10.13 tff(13378,plain,
% 14.91/10.13 ((~(v194(constB36) | v198(constB36))) | v194(constB36) | v198(constB36)),
% 14.91/10.13 inference(tautology,[status(thm)],[])).
% 14.91/10.13 tff(13379,plain,
% 14.91/10.13 (~(v194(constB36) | v198(constB36))),
% 14.91/10.13 inference(unit_resolution,[status(thm)],[13378, 13377, 13187])).
% 14.91/10.13 tff(13380,plain,
% 14.91/10.13 ((~(v191(constB36) <=> (v194(constB36) | v198(constB36)))) | (~v191(constB36)) | (v194(constB36) | v198(constB36))),
% 14.91/10.13 inference(tautology,[status(thm)],[])).
% 14.91/10.13 tff(13381,plain,
% 14.91/10.13 (~v191(constB36)),
% 14.91/10.13 inference(unit_resolution,[status(thm)],[13380, 13379, 13162])).
% 14.91/10.13 tff(13382,plain,
% 14.91/10.13 ((~(v193(constB37) <=> v191(constB36))) | (~v193(constB37)) | v191(constB36)),
% 14.91/10.13 inference(tautology,[status(thm)],[])).
% 14.91/10.13 tff(13383,plain,
% 14.91/10.13 (~v193(constB37)),
% 14.91/10.13 inference(unit_resolution,[status(thm)],[13382, 13381, 13160])).
% 14.91/10.13 tff(13384,plain,
% 14.91/10.13 ($false),
% 14.91/10.13 inference(unit_resolution,[status(thm)],[13383, 13156])).
% 14.91/10.13 tff(13385,plain,(~(constB37 = VarCurr!0)), inference(lemma,lemma(discharge,[]))).
% 14.91/10.13 tff(13386,assumption,(constB151 = VarCurr!0), introduced(assumption)).
% 14.91/10.13 tff(13387,plain,
% 14.91/10.13 (v193(constB151) <=> v193(VarCurr!0)),
% 14.91/10.13 inference(monotonicity,[status(thm)],[13386])).
% 14.91/10.13 tff(13388,plain,
% 14.91/10.13 (v193(VarCurr!0) <=> v193(constB151)),
% 14.91/10.13 inference(symmetry,[status(thm)],[13387])).
% 14.91/10.13 tff(13389,plain,
% 14.91/10.13 (v193(constB151)),
% 14.91/10.13 inference(modus_ponens,[status(thm)],[59, 13388])).
% 14.91/10.13 tff(13390,plain,
% 14.91/10.13 (nextState(constB150, constB151) <=> nextState(constB150, constB151)),
% 14.91/10.13 inference(rewrite,[status(thm)],[])).
% 14.91/10.13 tff(13391,axiom,(nextState(constB150, constB151)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_150')).
% 14.91/10.13 tff(13392,plain,
% 14.91/10.13 (nextState(constB150, constB151)),
% 14.91/10.13 inference(modus_ponens,[status(thm)],[13391, 13390])).
% 14.91/10.13 tff(13393,plain,
% 14.91/10.13 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v193(VarNext) <=> v191(VarCurr)))) | ((~nextState(constB150, constB151)) | (v193(constB151) <=> v191(constB150)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v193(VarNext) <=> v191(VarCurr)))) | (~nextState(constB150, constB151)) | (v193(constB151) <=> v191(constB150)))),
% 14.91/10.13 inference(rewrite,[status(thm)],[])).
% 14.91/10.13 tff(13394,plain,
% 14.91/10.13 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v193(VarNext) <=> v191(VarCurr)))) | ((~nextState(constB150, constB151)) | (v193(constB151) <=> v191(constB150)))),
% 14.91/10.13 inference(quant_inst,[status(thm)],[])).
% 14.91/10.13 tff(13395,plain,
% 14.91/10.13 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v193(VarNext) <=> v191(VarCurr)))) | (~nextState(constB150, constB151)) | (v193(constB151) <=> v191(constB150))),
% 14.91/10.13 inference(modus_ponens,[status(thm)],[13394, 13393])).
% 14.91/10.13 tff(13396,plain,
% 14.91/10.13 (v193(constB151) <=> v191(constB150)),
% 14.91/10.13 inference(unit_resolution,[status(thm)],[13395, 13392, 70])).
% 14.91/10.13 tff(13397,plain,
% 14.91/10.13 ((~![VarCurr: $i] : (v191(VarCurr) <=> (v194(VarCurr) | v198(VarCurr)))) | (v191(constB150) <=> (v194(constB150) | v198(constB150)))),
% 14.91/10.13 inference(quant_inst,[status(thm)],[])).
% 14.91/10.13 tff(13398,plain,
% 14.91/10.13 (v191(constB150) <=> (v194(constB150) | v198(constB150))),
% 14.91/10.13 inference(unit_resolution,[status(thm)],[13397, 84])).
% 14.91/10.13 tff(13399,plain,
% 14.91/10.13 ((~![VarCurr: $i] : (v198(VarCurr) <=> (~((~v199(VarCurr)) | (~v200(VarCurr)))))) | (v198(constB150) <=> (~((~v199(constB150)) | (~v200(constB150)))))),
% 14.91/10.13 inference(quant_inst,[status(thm)],[])).
% 14.91/10.13 tff(13400,plain,
% 14.91/10.13 (v198(constB150) <=> (~((~v199(constB150)) | (~v200(constB150))))),
% 14.91/10.13 inference(unit_resolution,[status(thm)],[13399, 96])).
% 14.91/10.13 tff(13401,plain,
% 14.91/10.13 ((~![VarCurr: $i] : (v200(VarCurr) <=> (~((~v197(VarCurr)) | (~v201(VarCurr)))))) | (v200(constB150) <=> (~((~v197(constB150)) | (~v201(constB150)))))),
% 14.91/10.13 inference(quant_inst,[status(thm)],[])).
% 14.91/10.13 tff(13402,plain,
% 14.91/10.13 (v200(constB150) <=> (~((~v197(constB150)) | (~v201(constB150))))),
% 14.91/10.13 inference(unit_resolution,[status(thm)],[13401, 108])).
% 14.91/10.13 tff(13403,plain,
% 14.91/10.13 ((~![VarCurr: $i] : (v197(VarCurr) <=> (~((~v39(VarCurr)) | (~v9(VarCurr)))))) | (v197(constB150) <=> (~((~v39(constB150)) | (~v9(constB150)))))),
% 14.91/10.13 inference(quant_inst,[status(thm)],[])).
% 14.91/10.13 tff(13404,plain,
% 14.91/10.13 (v197(constB150) <=> (~((~v39(constB150)) | (~v9(constB150))))),
% 14.91/10.13 inference(unit_resolution,[status(thm)],[13403, 120])).
% 14.91/10.13 tff(13405,plain,
% 14.91/10.13 ((~![VarCurr: $i] : ((~v39(VarCurr)) <=> v1(VarCurr))) | ((~v39(constB150)) <=> v1(constB150))),
% 14.91/10.13 inference(quant_inst,[status(thm)],[])).
% 14.91/10.13 tff(13406,plain,
% 14.91/10.13 ((~v39(constB150)) <=> v1(constB150)),
% 14.91/10.13 inference(unit_resolution,[status(thm)],[13405, 129])).
% 14.91/10.13 tff(13407,plain,
% 14.91/10.13 (v1(constB150) <=> v1(constB150)),
% 14.91/10.13 inference(rewrite,[status(thm)],[])).
% 14.91/10.13 tff(13408,axiom,(v1(constB150)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_150')).
% 14.91/10.13 tff(13409,plain,
% 14.91/10.13 (v1(constB150)),
% 14.91/10.13 inference(modus_ponens,[status(thm)],[13408, 13407])).
% 14.91/10.13 tff(13410,plain,
% 14.91/10.13 ((~((~v39(constB150)) <=> v1(constB150))) | (~v39(constB150)) | (~v1(constB150))),
% 14.91/10.13 inference(tautology,[status(thm)],[])).
% 14.91/10.13 tff(13411,plain,
% 14.91/10.13 ((~((~v39(constB150)) <=> v1(constB150))) | (~v39(constB150))),
% 14.91/10.13 inference(unit_resolution,[status(thm)],[13410, 13409])).
% 14.91/10.13 tff(13412,plain,
% 14.91/10.13 (~v39(constB150)),
% 14.91/10.13 inference(unit_resolution,[status(thm)],[13411, 13406])).
% 14.91/10.13 tff(13413,plain,
% 14.91/10.13 (((~v39(constB150)) | (~v9(constB150))) | v39(constB150)),
% 14.91/10.13 inference(tautology,[status(thm)],[])).
% 14.91/10.13 tff(13414,plain,
% 14.91/10.13 ((~v39(constB150)) | (~v9(constB150))),
% 14.91/10.13 inference(unit_resolution,[status(thm)],[13413, 13412])).
% 14.91/10.13 tff(13415,plain,
% 14.91/10.13 ((~(v197(constB150) <=> (~((~v39(constB150)) | (~v9(constB150)))))) | (~v197(constB150)) | (~((~v39(constB150)) | (~v9(constB150))))),
% 14.91/10.13 inference(tautology,[status(thm)],[])).
% 14.91/10.13 tff(13416,plain,
% 14.91/10.13 ((~(v197(constB150) <=> (~((~v39(constB150)) | (~v9(constB150)))))) | (~v197(constB150))),
% 14.91/10.13 inference(unit_resolution,[status(thm)],[13415, 13414])).
% 14.91/10.13 tff(13417,plain,
% 14.91/10.13 (~v197(constB150)),
% 14.91/10.13 inference(unit_resolution,[status(thm)],[13416, 13404])).
% 14.91/10.13 tff(13418,plain,
% 14.91/10.13 (((~v197(constB150)) | (~v201(constB150))) | v197(constB150)),
% 14.91/10.13 inference(tautology,[status(thm)],[])).
% 14.91/10.13 tff(13419,plain,
% 14.91/10.13 ((~v197(constB150)) | (~v201(constB150))),
% 14.91/10.13 inference(unit_resolution,[status(thm)],[13418, 13417])).
% 14.91/10.13 tff(13420,plain,
% 14.91/10.13 ((~(v200(constB150) <=> (~((~v197(constB150)) | (~v201(constB150)))))) | (~v200(constB150)) | (~((~v197(constB150)) | (~v201(constB150))))),
% 14.91/10.13 inference(tautology,[status(thm)],[])).
% 14.91/10.13 tff(13421,plain,
% 14.91/10.13 ((~(v200(constB150) <=> (~((~v197(constB150)) | (~v201(constB150)))))) | (~v200(constB150))),
% 14.91/10.13 inference(unit_resolution,[status(thm)],[13420, 13419])).
% 14.91/10.13 tff(13422,plain,
% 14.91/10.13 (~v200(constB150)),
% 14.91/10.13 inference(unit_resolution,[status(thm)],[13421, 13402])).
% 14.91/10.13 tff(13423,plain,
% 14.91/10.13 (((~v199(constB150)) | (~v200(constB150))) | v200(constB150)),
% 14.91/10.13 inference(tautology,[status(thm)],[])).
% 14.91/10.13 tff(13424,plain,
% 14.91/10.13 ((~v199(constB150)) | (~v200(constB150))),
% 14.91/10.13 inference(unit_resolution,[status(thm)],[13423, 13422])).
% 14.91/10.13 tff(13425,plain,
% 14.91/10.13 ((~(v198(constB150) <=> (~((~v199(constB150)) | (~v200(constB150)))))) | (~v198(constB150)) | (~((~v199(constB150)) | (~v200(constB150))))),
% 14.91/10.13 inference(tautology,[status(thm)],[])).
% 14.91/10.13 tff(13426,plain,
% 14.91/10.13 (~v198(constB150)),
% 14.91/10.13 inference(unit_resolution,[status(thm)],[13425, 13424, 13400])).
% 14.91/10.13 tff(13427,plain,
% 14.91/10.13 (((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB150) <=> (~((~v157(constB150)) | (~v195(constB150)))))) <=> ((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB150) <=> (~((~v157(constB150)) | (~v195(constB150))))))),
% 14.91/10.13 inference(rewrite,[status(thm)],[])).
% 14.91/10.13 tff(13428,plain,
% 14.91/10.13 ((v194(constB150) <=> (~((~v195(constB150)) | (~v157(constB150))))) <=> (v194(constB150) <=> (~((~v157(constB150)) | (~v195(constB150)))))),
% 14.91/10.13 inference(rewrite,[status(thm)],[])).
% 14.91/10.13 tff(13429,plain,
% 14.91/10.13 (((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB150) <=> (~((~v195(constB150)) | (~v157(constB150)))))) <=> ((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB150) <=> (~((~v157(constB150)) | (~v195(constB150))))))),
% 14.91/10.13 inference(monotonicity,[status(thm)],[13428])).
% 14.91/10.13 tff(13430,plain,
% 14.91/10.13 (((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB150) <=> (~((~v195(constB150)) | (~v157(constB150)))))) <=> ((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB150) <=> (~((~v157(constB150)) | (~v195(constB150))))))),
% 14.91/10.13 inference(transitivity,[status(thm)],[13429, 13427])).
% 14.91/10.13 tff(13431,plain,
% 14.91/10.13 ((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB150) <=> (~((~v195(constB150)) | (~v157(constB150)))))),
% 14.91/10.13 inference(quant_inst,[status(thm)],[])).
% 14.91/10.13 tff(13432,plain,
% 14.91/10.13 ((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB150) <=> (~((~v157(constB150)) | (~v195(constB150)))))),
% 14.91/10.13 inference(modus_ponens,[status(thm)],[13431, 13430])).
% 14.91/10.13 tff(13433,plain,
% 14.91/10.13 (v194(constB150) <=> (~((~v157(constB150)) | (~v195(constB150))))),
% 14.91/10.13 inference(unit_resolution,[status(thm)],[13432, 161])).
% 14.91/10.13 tff(13434,plain,
% 14.91/10.13 ((~![VarNext: $i] : (v157(VarNext) <=> v193(VarNext))) | (v157(constB150) <=> v193(constB150))),
% 14.91/10.13 inference(quant_inst,[status(thm)],[])).
% 14.91/10.13 tff(13435,plain,
% 14.91/10.13 (v157(constB150) <=> v193(constB150)),
% 14.91/10.13 inference(unit_resolution,[status(thm)],[13434, 13])).
% 14.91/10.13 tff(13436,plain,
% 14.91/10.13 (nextState(constB149, constB150) <=> nextState(constB149, constB150)),
% 14.91/10.13 inference(rewrite,[status(thm)],[])).
% 14.91/10.13 tff(13437,axiom,(nextState(constB149, constB150)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_149')).
% 14.91/10.13 tff(13438,plain,
% 14.91/10.13 (nextState(constB149, constB150)),
% 14.91/10.13 inference(modus_ponens,[status(thm)],[13437, 13436])).
% 14.91/10.13 tff(13439,plain,
% 14.91/10.13 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v193(VarNext) <=> v191(VarCurr)))) | ((~nextState(constB149, constB150)) | (v193(constB150) <=> v191(constB149)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v193(VarNext) <=> v191(VarCurr)))) | (~nextState(constB149, constB150)) | (v193(constB150) <=> v191(constB149)))),
% 14.91/10.13 inference(rewrite,[status(thm)],[])).
% 14.91/10.13 tff(13440,plain,
% 14.91/10.13 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v193(VarNext) <=> v191(VarCurr)))) | ((~nextState(constB149, constB150)) | (v193(constB150) <=> v191(constB149)))),
% 14.91/10.13 inference(quant_inst,[status(thm)],[])).
% 14.91/10.13 tff(13441,plain,
% 14.91/10.13 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v193(VarNext) <=> v191(VarCurr)))) | (~nextState(constB149, constB150)) | (v193(constB150) <=> v191(constB149))),
% 14.91/10.13 inference(modus_ponens,[status(thm)],[13440, 13439])).
% 14.91/10.13 tff(13442,plain,
% 14.91/10.13 (v193(constB150) <=> v191(constB149)),
% 14.91/10.13 inference(unit_resolution,[status(thm)],[13441, 13438, 70])).
% 14.91/10.13 tff(13443,plain,
% 14.91/10.13 ((~![VarCurr: $i] : (v191(VarCurr) <=> (v194(VarCurr) | v198(VarCurr)))) | (v191(constB149) <=> (v194(constB149) | v198(constB149)))),
% 14.91/10.13 inference(quant_inst,[status(thm)],[])).
% 14.91/10.13 tff(13444,plain,
% 14.91/10.13 (v191(constB149) <=> (v194(constB149) | v198(constB149))),
% 14.91/10.13 inference(unit_resolution,[status(thm)],[13443, 84])).
% 14.91/10.13 tff(13445,plain,
% 14.91/10.13 (((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB149) <=> (~((~v157(constB149)) | (~v195(constB149)))))) <=> ((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB149) <=> (~((~v157(constB149)) | (~v195(constB149))))))),
% 14.91/10.13 inference(rewrite,[status(thm)],[])).
% 14.91/10.13 tff(13446,plain,
% 14.91/10.13 ((v194(constB149) <=> (~((~v195(constB149)) | (~v157(constB149))))) <=> (v194(constB149) <=> (~((~v157(constB149)) | (~v195(constB149)))))),
% 14.91/10.13 inference(rewrite,[status(thm)],[])).
% 14.91/10.13 tff(13447,plain,
% 14.91/10.13 (((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB149) <=> (~((~v195(constB149)) | (~v157(constB149)))))) <=> ((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB149) <=> (~((~v157(constB149)) | (~v195(constB149))))))),
% 14.91/10.13 inference(monotonicity,[status(thm)],[13446])).
% 14.91/10.13 tff(13448,plain,
% 14.91/10.13 (((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB149) <=> (~((~v195(constB149)) | (~v157(constB149)))))) <=> ((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB149) <=> (~((~v157(constB149)) | (~v195(constB149))))))),
% 14.91/10.13 inference(transitivity,[status(thm)],[13447, 13445])).
% 14.91/10.13 tff(13449,plain,
% 14.91/10.13 ((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB149) <=> (~((~v195(constB149)) | (~v157(constB149)))))),
% 14.91/10.13 inference(quant_inst,[status(thm)],[])).
% 14.91/10.13 tff(13450,plain,
% 14.91/10.13 ((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB149) <=> (~((~v157(constB149)) | (~v195(constB149)))))),
% 14.91/10.13 inference(modus_ponens,[status(thm)],[13449, 13448])).
% 14.91/10.13 tff(13451,plain,
% 14.91/10.13 (v194(constB149) <=> (~((~v157(constB149)) | (~v195(constB149))))),
% 14.91/10.13 inference(unit_resolution,[status(thm)],[13450, 161])).
% 14.91/10.13 tff(13452,plain,
% 14.91/10.13 ((~![VarCurr: $i] : ((~v195(VarCurr)) <=> v196(VarCurr))) | ((~v195(constB149)) <=> v196(constB149))),
% 14.91/10.13 inference(quant_inst,[status(thm)],[])).
% 14.91/10.13 tff(13453,plain,
% 14.91/10.13 ((~v195(constB149)) <=> v196(constB149)),
% 14.91/10.13 inference(unit_resolution,[status(thm)],[13452, 193])).
% 14.91/10.13 tff(13454,plain,
% 14.91/10.13 ((~![VarCurr: $i] : (v196(VarCurr) <=> (v197(VarCurr) | v26(VarCurr)))) | (v196(constB149) <=> (v197(constB149) | v26(constB149)))),
% 14.91/10.13 inference(quant_inst,[status(thm)],[])).
% 14.91/10.13 tff(13455,plain,
% 14.91/10.13 (v196(constB149) <=> (v197(constB149) | v26(constB149))),
% 14.91/10.13 inference(unit_resolution,[status(thm)],[13454, 202])).
% 14.91/10.13 tff(13456,plain,
% 14.91/10.13 ((~![VarCurr: $i] : (v197(VarCurr) <=> (~((~v39(VarCurr)) | (~v9(VarCurr)))))) | (v197(constB149) <=> (~((~v39(constB149)) | (~v9(constB149)))))),
% 14.91/10.13 inference(quant_inst,[status(thm)],[])).
% 14.91/10.13 tff(13457,plain,
% 14.91/10.13 (v197(constB149) <=> (~((~v39(constB149)) | (~v9(constB149))))),
% 14.91/10.13 inference(unit_resolution,[status(thm)],[13456, 120])).
% 14.91/10.13 tff(13458,plain,
% 14.91/10.13 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | ((~nextState(constB149, constB150)) | (v13(constB150) <=> v9(constB149)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | (~nextState(constB149, constB150)) | (v13(constB150) <=> v9(constB149)))),
% 14.91/10.13 inference(rewrite,[status(thm)],[])).
% 14.91/10.13 tff(13459,plain,
% 14.91/10.13 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | ((~nextState(constB149, constB150)) | (v13(constB150) <=> v9(constB149)))),
% 14.91/10.13 inference(quant_inst,[status(thm)],[])).
% 14.91/10.13 tff(13460,plain,
% 14.91/10.13 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | (~nextState(constB149, constB150)) | (v13(constB150) <=> v9(constB149))),
% 14.91/10.13 inference(modus_ponens,[status(thm)],[13459, 13458])).
% 14.91/10.13 tff(13461,plain,
% 14.91/10.13 (v13(constB150) <=> v9(constB149)),
% 14.91/10.13 inference(unit_resolution,[status(thm)],[13460, 13438, 216])).
% 14.91/10.13 tff(13462,plain,
% 14.91/10.13 ((~![VarNext: $i] : (v6(VarNext) <=> v13(VarNext))) | (v6(constB150) <=> v13(constB150))),
% 14.91/10.13 inference(quant_inst,[status(thm)],[])).
% 14.91/10.13 tff(13463,plain,
% 14.91/10.13 (v6(constB150) <=> v13(constB150)),
% 14.91/10.13 inference(unit_resolution,[status(thm)],[13462, 230])).
% 14.91/10.13 tff(13464,plain,
% 14.91/10.13 ((~![VarCurr: $i] : ((~v21(VarCurr)) <=> v6(VarCurr))) | ((~v21(constB150)) <=> v6(constB150))),
% 14.91/10.13 inference(quant_inst,[status(thm)],[])).
% 14.91/10.13 tff(13465,plain,
% 14.91/10.13 ((~v21(constB150)) <=> v6(constB150)),
% 14.91/10.13 inference(unit_resolution,[status(thm)],[13464, 239])).
% 14.91/10.13 tff(13466,plain,
% 14.91/10.13 ((~![VarCurr: $i] : (v19(VarCurr) <=> (v20(VarCurr) | v21(VarCurr)))) | (v19(constB150) <=> (v20(constB150) | v21(constB150)))),
% 14.91/10.13 inference(quant_inst,[status(thm)],[])).
% 14.91/10.13 tff(13467,plain,
% 14.91/10.13 (v19(constB150) <=> (v20(constB150) | v21(constB150))),
% 14.91/10.13 inference(unit_resolution,[status(thm)],[13466, 248])).
% 14.91/10.13 tff(13468,plain,
% 14.91/10.13 ((~![VarCurr: $i] : (v18(VarCurr) <=> (~((~v19(VarCurr)) | (~v22(VarCurr)))))) | (v18(constB150) <=> (~((~v19(constB150)) | (~v22(constB150)))))),
% 14.91/10.13 inference(quant_inst,[status(thm)],[])).
% 14.91/10.13 tff(13469,plain,
% 14.91/10.13 (v18(constB150) <=> (~((~v19(constB150)) | (~v22(constB150))))),
% 14.91/10.13 inference(unit_resolution,[status(thm)],[13468, 260])).
% 14.91/10.13 tff(13470,plain,
% 14.91/10.13 ((~![VarCurr: $i] : ((~v4(VarCurr)) <=> v18(VarCurr))) | ((~v4(constB150)) <=> v18(constB150))),
% 14.91/10.13 inference(quant_inst,[status(thm)],[])).
% 14.91/10.13 tff(13471,plain,
% 14.91/10.13 ((~v4(constB150)) <=> v18(constB150)),
% 14.91/10.13 inference(unit_resolution,[status(thm)],[13470, 269])).
% 14.91/10.13 tff(13472,plain,
% 14.91/10.13 ((~![VarCurr: $i] : v4(VarCurr)) | v4(constB150)),
% 14.91/10.13 inference(quant_inst,[status(thm)],[])).
% 14.91/10.13 tff(13473,plain,
% 14.91/10.13 (v4(constB150)),
% 14.91/10.13 inference(unit_resolution,[status(thm)],[13472, 278])).
% 14.91/10.13 tff(13474,plain,
% 14.91/10.13 ((~((~v4(constB150)) <=> v18(constB150))) | (~v4(constB150)) | (~v18(constB150))),
% 14.91/10.13 inference(tautology,[status(thm)],[])).
% 14.91/10.13 tff(13475,plain,
% 14.91/10.13 (~v18(constB150)),
% 14.91/10.13 inference(unit_resolution,[status(thm)],[13474, 13473, 13471])).
% 14.91/10.13 tff(13476,plain,
% 14.91/10.13 ((~(v18(constB150) <=> (~((~v19(constB150)) | (~v22(constB150)))))) | v18(constB150) | ((~v19(constB150)) | (~v22(constB150)))),
% 14.91/10.13 inference(tautology,[status(thm)],[])).
% 14.91/10.13 tff(13477,plain,
% 14.91/10.13 ((~v19(constB150)) | (~v22(constB150))),
% 14.91/10.13 inference(unit_resolution,[status(thm)],[13476, 13475, 13469])).
% 14.91/10.13 tff(13478,plain,
% 14.91/10.13 ((~![VarCurr: $i] : (v22(VarCurr) <=> (v1(VarCurr) | v6(VarCurr)))) | (v22(constB150) <=> (v1(constB150) | v6(constB150)))),
% 14.91/10.13 inference(quant_inst,[status(thm)],[])).
% 14.91/10.13 tff(13479,plain,
% 14.91/10.13 (v22(constB150) <=> (v1(constB150) | v6(constB150))),
% 14.91/10.14 inference(unit_resolution,[status(thm)],[13478, 291])).
% 14.91/10.14 tff(13480,plain,
% 14.91/10.14 ((v1(constB150) | v6(constB150)) | (~v1(constB150))),
% 14.91/10.14 inference(tautology,[status(thm)],[])).
% 14.91/10.14 tff(13481,plain,
% 14.91/10.14 (v1(constB150) | v6(constB150)),
% 14.91/10.14 inference(unit_resolution,[status(thm)],[13480, 13409])).
% 14.91/10.14 tff(13482,plain,
% 14.91/10.14 ((~(v22(constB150) <=> (v1(constB150) | v6(constB150)))) | v22(constB150) | (~(v1(constB150) | v6(constB150)))),
% 14.91/10.14 inference(tautology,[status(thm)],[])).
% 14.91/10.14 tff(13483,plain,
% 14.91/10.14 ((~(v22(constB150) <=> (v1(constB150) | v6(constB150)))) | v22(constB150)),
% 14.91/10.14 inference(unit_resolution,[status(thm)],[13482, 13481])).
% 14.91/10.14 tff(13484,plain,
% 14.91/10.14 (v22(constB150)),
% 14.91/10.14 inference(unit_resolution,[status(thm)],[13483, 13479])).
% 14.91/10.14 tff(13485,plain,
% 14.91/10.14 ((~((~v19(constB150)) | (~v22(constB150)))) | (~v19(constB150)) | (~v22(constB150))),
% 14.91/10.14 inference(tautology,[status(thm)],[])).
% 14.91/10.14 tff(13486,plain,
% 14.91/10.14 ((~((~v19(constB150)) | (~v22(constB150)))) | (~v19(constB150))),
% 14.91/10.14 inference(unit_resolution,[status(thm)],[13485, 13484])).
% 14.91/10.14 tff(13487,plain,
% 14.91/10.14 (~v19(constB150)),
% 14.91/10.14 inference(unit_resolution,[status(thm)],[13486, 13477])).
% 14.91/10.14 tff(13488,plain,
% 14.91/10.14 ((~(v19(constB150) <=> (v20(constB150) | v21(constB150)))) | v19(constB150) | (~(v20(constB150) | v21(constB150)))),
% 14.91/10.14 inference(tautology,[status(thm)],[])).
% 14.91/10.14 tff(13489,plain,
% 14.91/10.14 (~(v20(constB150) | v21(constB150))),
% 14.91/10.14 inference(unit_resolution,[status(thm)],[13488, 13487, 13467])).
% 14.91/10.14 tff(13490,plain,
% 14.91/10.14 ((v20(constB150) | v21(constB150)) | (~v21(constB150))),
% 14.91/10.14 inference(tautology,[status(thm)],[])).
% 14.91/10.14 tff(13491,plain,
% 14.91/10.14 (~v21(constB150)),
% 14.91/10.14 inference(unit_resolution,[status(thm)],[13490, 13489])).
% 14.91/10.14 tff(13492,plain,
% 14.91/10.14 ((~((~v21(constB150)) <=> v6(constB150))) | v21(constB150) | v6(constB150)),
% 14.91/10.14 inference(tautology,[status(thm)],[])).
% 14.91/10.14 tff(13493,plain,
% 14.91/10.14 (v6(constB150)),
% 14.91/10.14 inference(unit_resolution,[status(thm)],[13492, 13491, 13465])).
% 14.91/10.14 tff(13494,plain,
% 14.91/10.14 ((~(v6(constB150) <=> v13(constB150))) | (~v6(constB150)) | v13(constB150)),
% 14.91/10.14 inference(tautology,[status(thm)],[])).
% 14.91/10.14 tff(13495,plain,
% 14.91/10.14 (v13(constB150)),
% 14.91/10.14 inference(unit_resolution,[status(thm)],[13494, 13493, 13463])).
% 14.91/10.14 tff(13496,plain,
% 14.91/10.14 ((~(v13(constB150) <=> v9(constB149))) | (~v13(constB150)) | v9(constB149)),
% 14.91/10.14 inference(tautology,[status(thm)],[])).
% 14.91/10.14 tff(13497,plain,
% 14.91/10.14 (v9(constB149)),
% 14.91/10.14 inference(unit_resolution,[status(thm)],[13496, 13495, 13461])).
% 14.91/10.14 tff(13498,plain,
% 14.91/10.14 ((~![VarCurr: $i] : ((~v39(VarCurr)) <=> v1(VarCurr))) | ((~v39(constB149)) <=> v1(constB149))),
% 14.91/10.14 inference(quant_inst,[status(thm)],[])).
% 14.91/10.14 tff(13499,plain,
% 14.91/10.14 ((~v39(constB149)) <=> v1(constB149)),
% 14.91/10.14 inference(unit_resolution,[status(thm)],[13498, 129])).
% 14.91/10.14 tff(13500,plain,
% 14.91/10.14 ((~v1(constB149)) <=> (~v1(constB149))),
% 14.91/10.14 inference(rewrite,[status(thm)],[])).
% 14.91/10.14 tff(13501,axiom,(~v1(constB149)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_149')).
% 14.91/10.14 tff(13502,plain,
% 14.91/10.14 (~v1(constB149)),
% 14.91/10.14 inference(modus_ponens,[status(thm)],[13501, 13500])).
% 14.91/10.14 tff(13503,plain,
% 14.91/10.14 ((~((~v39(constB149)) <=> v1(constB149))) | v39(constB149) | v1(constB149)),
% 14.91/10.14 inference(tautology,[status(thm)],[])).
% 14.91/10.14 tff(13504,plain,
% 14.91/10.14 ((~((~v39(constB149)) <=> v1(constB149))) | v39(constB149)),
% 14.91/10.14 inference(unit_resolution,[status(thm)],[13503, 13502])).
% 14.91/10.14 tff(13505,plain,
% 14.91/10.14 (v39(constB149)),
% 14.91/10.14 inference(unit_resolution,[status(thm)],[13504, 13499])).
% 14.91/10.14 tff(13506,plain,
% 14.91/10.14 ((~((~v39(constB149)) | (~v9(constB149)))) | (~v39(constB149)) | (~v9(constB149))),
% 14.91/10.14 inference(tautology,[status(thm)],[])).
% 14.91/10.14 tff(13507,plain,
% 14.91/10.14 ((~((~v39(constB149)) | (~v9(constB149)))) | (~v9(constB149))),
% 14.91/10.14 inference(unit_resolution,[status(thm)],[13506, 13505])).
% 14.91/10.14 tff(13508,plain,
% 14.91/10.14 (~((~v39(constB149)) | (~v9(constB149)))),
% 14.91/10.14 inference(unit_resolution,[status(thm)],[13507, 13497])).
% 14.91/10.14 tff(13509,plain,
% 14.91/10.14 ((~(v197(constB149) <=> (~((~v39(constB149)) | (~v9(constB149)))))) | v197(constB149) | ((~v39(constB149)) | (~v9(constB149)))),
% 14.91/10.14 inference(tautology,[status(thm)],[])).
% 14.91/10.14 tff(13510,plain,
% 14.91/10.14 (v197(constB149)),
% 14.91/10.14 inference(unit_resolution,[status(thm)],[13509, 13508, 13457])).
% 14.91/10.14 tff(13511,plain,
% 14.91/10.14 ((v197(constB149) | v26(constB149)) | (~v197(constB149))),
% 14.91/10.14 inference(tautology,[status(thm)],[])).
% 14.91/10.14 tff(13512,plain,
% 14.91/10.14 (v197(constB149) | v26(constB149)),
% 14.91/10.14 inference(unit_resolution,[status(thm)],[13511, 13510])).
% 14.91/10.14 tff(13513,plain,
% 14.91/10.14 ((~(v196(constB149) <=> (v197(constB149) | v26(constB149)))) | v196(constB149) | (~(v197(constB149) | v26(constB149)))),
% 14.91/10.14 inference(tautology,[status(thm)],[])).
% 14.91/10.14 tff(13514,plain,
% 14.91/10.14 (v196(constB149)),
% 14.91/10.14 inference(unit_resolution,[status(thm)],[13513, 13512, 13455])).
% 14.91/10.14 tff(13515,plain,
% 14.91/10.14 ((~((~v195(constB149)) <=> v196(constB149))) | (~v195(constB149)) | (~v196(constB149))),
% 14.91/10.14 inference(tautology,[status(thm)],[])).
% 14.91/10.14 tff(13516,plain,
% 14.91/10.14 (~v195(constB149)),
% 14.91/10.14 inference(unit_resolution,[status(thm)],[13515, 13514, 13453])).
% 14.91/10.14 tff(13517,plain,
% 14.91/10.14 (((~v157(constB149)) | (~v195(constB149))) | v195(constB149)),
% 14.91/10.14 inference(tautology,[status(thm)],[])).
% 14.91/10.14 tff(13518,plain,
% 14.91/10.14 ((~v157(constB149)) | (~v195(constB149))),
% 14.91/10.14 inference(unit_resolution,[status(thm)],[13517, 13516])).
% 14.91/10.14 tff(13519,plain,
% 14.91/10.14 ((~(v194(constB149) <=> (~((~v157(constB149)) | (~v195(constB149)))))) | (~v194(constB149)) | (~((~v157(constB149)) | (~v195(constB149))))),
% 14.91/10.14 inference(tautology,[status(thm)],[])).
% 14.91/10.14 tff(13520,plain,
% 14.91/10.14 (~v194(constB149)),
% 14.91/10.14 inference(unit_resolution,[status(thm)],[13519, 13518, 13451])).
% 14.91/10.14 tff(13521,plain,
% 14.91/10.14 ((~![VarCurr: $i] : (v198(VarCurr) <=> (~((~v199(VarCurr)) | (~v200(VarCurr)))))) | (v198(constB149) <=> (~((~v199(constB149)) | (~v200(constB149)))))),
% 14.91/10.14 inference(quant_inst,[status(thm)],[])).
% 14.91/10.14 tff(13522,plain,
% 14.91/10.14 (v198(constB149) <=> (~((~v199(constB149)) | (~v200(constB149))))),
% 14.91/10.14 inference(unit_resolution,[status(thm)],[13521, 96])).
% 14.91/10.14 tff(13523,plain,
% 14.91/10.14 ((~![VarCurr: $i] : (v200(VarCurr) <=> (~((~v197(VarCurr)) | (~v201(VarCurr)))))) | (v200(constB149) <=> (~((~v197(constB149)) | (~v201(constB149)))))),
% 14.91/10.14 inference(quant_inst,[status(thm)],[])).
% 14.91/10.14 tff(13524,plain,
% 14.91/10.14 (v200(constB149) <=> (~((~v197(constB149)) | (~v201(constB149))))),
% 14.91/10.14 inference(unit_resolution,[status(thm)],[13523, 108])).
% 14.91/10.14 tff(13525,plain,
% 14.91/10.14 ((~![VarCurr: $i] : (v201(VarCurr) <=> (~((~v159(VarCurr)) | (~v161(VarCurr)))))) | (v201(constB149) <=> (~((~v159(constB149)) | (~v161(constB149)))))),
% 14.91/10.14 inference(quant_inst,[status(thm)],[])).
% 14.91/10.14 tff(13526,plain,
% 14.91/10.14 (v201(constB149) <=> (~((~v159(constB149)) | (~v161(constB149))))),
% 14.91/10.14 inference(unit_resolution,[status(thm)],[13525, 348])).
% 14.91/10.14 tff(13527,plain,
% 14.91/10.14 (^[VarCurr: $i, VarNext: $i] : refl(((~nextState(VarCurr, VarNext)) | (v179(VarNext) <=> v180(VarNext))) <=> ((~nextState(VarCurr, VarNext)) | (v179(VarNext) <=> v180(VarNext))))),
% 14.91/10.14 inference(bind,[status(th)],[])).
% 14.91/10.14 tff(13528,plain,
% 14.91/10.14 (![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v179(VarNext) <=> v180(VarNext))) <=> ![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v179(VarNext) <=> v180(VarNext)))),
% 14.91/10.14 inference(quant_intro,[status(thm)],[13527])).
% 14.91/10.14 tff(13529,plain,
% 14.91/10.14 (![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v179(VarNext) <=> v180(VarNext))) <=> ![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v179(VarNext) <=> v180(VarNext)))),
% 14.91/10.14 inference(rewrite,[status(thm)],[])).
% 14.91/10.14 tff(13530,plain,
% 14.91/10.14 (^[VarCurr: $i, VarNext: $i] : rewrite((nextState(VarCurr, VarNext) => (v179(VarNext) <=> v180(VarNext))) <=> ((~nextState(VarCurr, VarNext)) | (v179(VarNext) <=> v180(VarNext))))),
% 14.91/10.14 inference(bind,[status(th)],[])).
% 14.91/10.14 tff(13531,plain,
% 14.91/10.14 (![VarCurr: $i, VarNext: $i] : (nextState(VarCurr, VarNext) => (v179(VarNext) <=> v180(VarNext))) <=> ![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v179(VarNext) <=> v180(VarNext)))),
% 14.91/10.14 inference(quant_intro,[status(thm)],[13530])).
% 14.91/10.14 tff(13532,axiom,(![VarCurr: $i, VarNext: $i] : (nextState(VarCurr, VarNext) => (v179(VarNext) <=> v180(VarNext)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','writeBinaryOperatorEqualRangesSingleBits_43')).
% 14.91/10.14 tff(13533,plain,
% 14.91/10.14 (![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v179(VarNext) <=> v180(VarNext)))),
% 14.91/10.14 inference(modus_ponens,[status(thm)],[13532, 13531])).
% 14.91/10.14 tff(13534,plain,
% 14.91/10.14 (![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v179(VarNext) <=> v180(VarNext)))),
% 14.91/10.14 inference(modus_ponens,[status(thm)],[13533, 13529])).
% 14.91/10.14 tff(13535,plain,(
% 14.91/10.14 ![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v179(VarNext) <=> v180(VarNext)))),
% 14.91/10.14 inference(skolemize,[status(sab)],[13534])).
% 14.91/10.14 tff(13536,plain,
% 14.91/10.14 (![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v179(VarNext) <=> v180(VarNext)))),
% 14.91/10.14 inference(modus_ponens,[status(thm)],[13535, 13528])).
% 14.91/10.14 tff(13537,plain,
% 14.91/10.14 (nextState(constB148, constB149) <=> nextState(constB148, constB149)),
% 14.91/10.14 inference(rewrite,[status(thm)],[])).
% 14.91/10.14 tff(13538,axiom,(nextState(constB148, constB149)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_148')).
% 14.91/10.14 tff(13539,plain,
% 14.91/10.14 (nextState(constB148, constB149)),
% 14.91/10.14 inference(modus_ponens,[status(thm)],[13538, 13537])).
% 14.91/10.14 tff(13540,plain,
% 14.91/10.14 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v179(VarNext) <=> v180(VarNext)))) | ((~nextState(constB148, constB149)) | (v179(constB149) <=> v180(constB149)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v179(VarNext) <=> v180(VarNext)))) | (~nextState(constB148, constB149)) | (v179(constB149) <=> v180(constB149)))),
% 14.91/10.14 inference(rewrite,[status(thm)],[])).
% 14.91/10.14 tff(13541,plain,
% 14.91/10.14 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v179(VarNext) <=> v180(VarNext)))) | ((~nextState(constB148, constB149)) | (v179(constB149) <=> v180(constB149)))),
% 14.91/10.14 inference(quant_inst,[status(thm)],[])).
% 14.91/10.14 tff(13542,plain,
% 14.91/10.14 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v179(VarNext) <=> v180(VarNext)))) | (~nextState(constB148, constB149)) | (v179(constB149) <=> v180(constB149))),
% 14.91/10.14 inference(modus_ponens,[status(thm)],[13541, 13540])).
% 14.91/10.14 tff(13543,plain,
% 14.91/10.14 (v179(constB149) <=> v180(constB149)),
% 14.91/10.14 inference(unit_resolution,[status(thm)],[13542, 13539, 13536])).
% 14.91/10.14 tff(13544,plain,
% 14.91/10.14 (^[VarCurr: $i, VarNext: $i] : refl(((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> (~((~v181(VarNext)) | (~v1(VarNext)))))) <=> ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> (~((~v181(VarNext)) | (~v1(VarNext)))))))),
% 14.91/10.14 inference(bind,[status(th)],[])).
% 14.91/10.14 tff(13545,plain,
% 14.91/10.14 (![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> (~((~v181(VarNext)) | (~v1(VarNext)))))) <=> ![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> (~((~v181(VarNext)) | (~v1(VarNext))))))),
% 14.91/10.14 inference(quant_intro,[status(thm)],[13544])).
% 14.91/10.14 tff(13546,plain,
% 14.91/10.14 (^[VarCurr: $i, VarNext: $i] : rewrite(((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> (v181(VarNext) & v1(VarNext)))) <=> ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> (~((~v181(VarNext)) | (~v1(VarNext)))))))),
% 14.91/10.14 inference(bind,[status(th)],[])).
% 14.91/10.14 tff(13547,plain,
% 14.91/10.14 (![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> (v181(VarNext) & v1(VarNext)))) <=> ![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> (~((~v181(VarNext)) | (~v1(VarNext))))))),
% 14.91/10.14 inference(quant_intro,[status(thm)],[13546])).
% 14.91/10.14 tff(13548,plain,
% 14.91/10.14 (![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> (v181(VarNext) & v1(VarNext)))) <=> ![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> (v181(VarNext) & v1(VarNext))))),
% 14.91/10.14 inference(rewrite,[status(thm)],[])).
% 14.91/10.14 tff(13549,plain,
% 14.91/10.14 (^[VarCurr: $i, VarNext: $i] : rewrite((nextState(VarCurr, VarNext) => (v180(VarNext) <=> (v181(VarNext) & v1(VarNext)))) <=> ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> (v181(VarNext) & v1(VarNext)))))),
% 14.91/10.14 inference(bind,[status(th)],[])).
% 14.91/10.14 tff(13550,plain,
% 14.91/10.14 (![VarCurr: $i, VarNext: $i] : (nextState(VarCurr, VarNext) => (v180(VarNext) <=> (v181(VarNext) & v1(VarNext)))) <=> ![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> (v181(VarNext) & v1(VarNext))))),
% 14.91/10.14 inference(quant_intro,[status(thm)],[13549])).
% 14.91/10.14 tff(13551,axiom,(![VarCurr: $i, VarNext: $i] : (nextState(VarCurr, VarNext) => (v180(VarNext) <=> (v181(VarNext) & v1(VarNext))))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','writeBinaryOperatorEqualRangesSingleBits_42')).
% 14.91/10.14 tff(13552,plain,
% 14.91/10.14 (![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> (v181(VarNext) & v1(VarNext))))),
% 14.91/10.14 inference(modus_ponens,[status(thm)],[13551, 13550])).
% 14.91/10.14 tff(13553,plain,
% 14.91/10.14 (![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> (v181(VarNext) & v1(VarNext))))),
% 14.91/10.14 inference(modus_ponens,[status(thm)],[13552, 13548])).
% 14.91/10.14 tff(13554,plain,(
% 14.91/10.14 ![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> (v181(VarNext) & v1(VarNext))))),
% 14.91/10.14 inference(skolemize,[status(sab)],[13553])).
% 14.91/10.14 tff(13555,plain,
% 14.91/10.14 (![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> (~((~v181(VarNext)) | (~v1(VarNext))))))),
% 14.91/10.14 inference(modus_ponens,[status(thm)],[13554, 13547])).
% 14.91/10.14 tff(13556,plain,
% 14.91/10.14 (![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> (~((~v181(VarNext)) | (~v1(VarNext))))))),
% 14.91/10.14 inference(modus_ponens,[status(thm)],[13555, 13545])).
% 14.91/10.14 tff(13557,plain,
% 14.91/10.14 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> (~((~v181(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB148, constB149)) | (v180(constB149) <=> (~((~v1(constB149)) | (~v181(constB149))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> (~((~v181(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB148, constB149)) | (v180(constB149) <=> (~((~v1(constB149)) | (~v181(constB149))))))),
% 14.91/10.14 inference(rewrite,[status(thm)],[])).
% 14.91/10.14 tff(13558,plain,
% 14.91/10.14 (((~nextState(constB148, constB149)) | (v180(constB149) <=> (~((~v181(constB149)) | (~v1(constB149)))))) <=> ((~nextState(constB148, constB149)) | (v180(constB149) <=> (~((~v1(constB149)) | (~v181(constB149))))))),
% 14.91/10.14 inference(rewrite,[status(thm)],[])).
% 14.91/10.14 tff(13559,plain,
% 14.91/10.14 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> (~((~v181(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB148, constB149)) | (v180(constB149) <=> (~((~v181(constB149)) | (~v1(constB149))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> (~((~v181(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB148, constB149)) | (v180(constB149) <=> (~((~v1(constB149)) | (~v181(constB149)))))))),
% 14.91/10.14 inference(monotonicity,[status(thm)],[13558])).
% 14.91/10.14 tff(13560,plain,
% 14.91/10.14 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> (~((~v181(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB148, constB149)) | (v180(constB149) <=> (~((~v181(constB149)) | (~v1(constB149))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> (~((~v181(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB148, constB149)) | (v180(constB149) <=> (~((~v1(constB149)) | (~v181(constB149))))))),
% 14.91/10.14 inference(transitivity,[status(thm)],[13559, 13557])).
% 14.91/10.14 tff(13561,plain,
% 14.91/10.14 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> (~((~v181(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB148, constB149)) | (v180(constB149) <=> (~((~v181(constB149)) | (~v1(constB149))))))),
% 14.91/10.14 inference(quant_inst,[status(thm)],[])).
% 14.91/10.14 tff(13562,plain,
% 14.91/10.14 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> (~((~v181(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB148, constB149)) | (v180(constB149) <=> (~((~v1(constB149)) | (~v181(constB149)))))),
% 14.91/10.14 inference(modus_ponens,[status(thm)],[13561, 13560])).
% 14.91/10.14 tff(13563,plain,
% 14.91/10.14 (v180(constB149) <=> (~((~v1(constB149)) | (~v181(constB149))))),
% 14.91/10.14 inference(unit_resolution,[status(thm)],[13562, 13539, 13556])).
% 14.91/10.14 tff(13564,plain,
% 14.91/10.14 (((~v1(constB149)) | (~v181(constB149))) | v1(constB149)),
% 14.91/10.14 inference(tautology,[status(thm)],[])).
% 14.91/10.14 tff(13565,plain,
% 14.91/10.14 ((~v1(constB149)) | (~v181(constB149))),
% 14.91/10.14 inference(unit_resolution,[status(thm)],[13564, 13502])).
% 14.91/10.14 tff(13566,plain,
% 14.91/10.14 ((~(v180(constB149) <=> (~((~v1(constB149)) | (~v181(constB149)))))) | (~v180(constB149)) | (~((~v1(constB149)) | (~v181(constB149))))),
% 14.91/10.14 inference(tautology,[status(thm)],[])).
% 14.91/10.14 tff(13567,plain,
% 14.91/10.14 ((~(v180(constB149) <=> (~((~v1(constB149)) | (~v181(constB149)))))) | (~v180(constB149))),
% 14.91/10.14 inference(unit_resolution,[status(thm)],[13566, 13565])).
% 14.91/10.14 tff(13568,plain,
% 14.91/10.14 (~v180(constB149)),
% 14.91/10.14 inference(unit_resolution,[status(thm)],[13567, 13563])).
% 14.91/10.14 tff(13569,plain,
% 14.91/10.14 ((~(v179(constB149) <=> v180(constB149))) | (~v179(constB149)) | v180(constB149)),
% 14.91/10.14 inference(tautology,[status(thm)],[])).
% 14.91/10.14 tff(13570,plain,
% 14.91/10.14 (~v179(constB149)),
% 14.91/10.14 inference(unit_resolution,[status(thm)],[13569, 13568, 13543])).
% 14.91/10.14 tff(13571,plain,
% 14.91/10.14 (^[VarCurr: $i, VarNext: $i] : refl(((v159(VarNext) <=> v159(VarCurr)) | v179(VarNext) | (~nextState(VarCurr, VarNext))) <=> ((v159(VarNext) <=> v159(VarCurr)) | v179(VarNext) | (~nextState(VarCurr, VarNext))))),
% 14.91/10.14 inference(bind,[status(th)],[])).
% 14.91/10.14 tff(13572,plain,
% 14.91/10.14 (![VarCurr: $i, VarNext: $i] : ((v159(VarNext) <=> v159(VarCurr)) | v179(VarNext) | (~nextState(VarCurr, VarNext))) <=> ![VarCurr: $i, VarNext: $i] : ((v159(VarNext) <=> v159(VarCurr)) | v179(VarNext) | (~nextState(VarCurr, VarNext)))),
% 14.91/10.14 inference(quant_intro,[status(thm)],[13571])).
% 14.91/10.14 tff(13573,plain,
% 14.91/10.14 (![VarCurr: $i, VarNext: $i] : ((v159(VarNext) <=> v159(VarCurr)) | v179(VarNext) | (~nextState(VarCurr, VarNext))) <=> ![VarCurr: $i, VarNext: $i] : ((v159(VarNext) <=> v159(VarCurr)) | v179(VarNext) | (~nextState(VarCurr, VarNext)))),
% 14.91/10.14 inference(rewrite,[status(thm)],[])).
% 14.91/10.14 tff(13574,plain,
% 14.91/10.14 (^[VarCurr: $i, VarNext: $i] : trans(monotonicity(rewrite(((~v179(VarNext)) => (v159(VarNext) <=> v159(VarCurr))) <=> (v179(VarNext) | (v159(VarNext) <=> v159(VarCurr)))), ((nextState(VarCurr, VarNext) => ((~v179(VarNext)) => (v159(VarNext) <=> v159(VarCurr)))) <=> (nextState(VarCurr, VarNext) => (v179(VarNext) | (v159(VarNext) <=> v159(VarCurr)))))), rewrite((nextState(VarCurr, VarNext) => (v179(VarNext) | (v159(VarNext) <=> v159(VarCurr)))) <=> ((v159(VarNext) <=> v159(VarCurr)) | v179(VarNext) | (~nextState(VarCurr, VarNext)))), ((nextState(VarCurr, VarNext) => ((~v179(VarNext)) => (v159(VarNext) <=> v159(VarCurr)))) <=> ((v159(VarNext) <=> v159(VarCurr)) | v179(VarNext) | (~nextState(VarCurr, VarNext)))))),
% 14.91/10.14 inference(bind,[status(th)],[])).
% 14.91/10.14 tff(13575,plain,
% 14.91/10.14 (![VarCurr: $i, VarNext: $i] : (nextState(VarCurr, VarNext) => ((~v179(VarNext)) => (v159(VarNext) <=> v159(VarCurr)))) <=> ![VarCurr: $i, VarNext: $i] : ((v159(VarNext) <=> v159(VarCurr)) | v179(VarNext) | (~nextState(VarCurr, VarNext)))),
% 14.91/10.14 inference(quant_intro,[status(thm)],[13574])).
% 14.91/10.14 tff(13576,axiom,(![VarCurr: $i, VarNext: $i] : (nextState(VarCurr, VarNext) => ((~v179(VarNext)) => (v159(VarNext) <=> v159(VarCurr))))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','addCaseBooleanConditionEqualRanges1_1')).
% 14.91/10.14 tff(13577,plain,
% 14.91/10.14 (![VarCurr: $i, VarNext: $i] : ((v159(VarNext) <=> v159(VarCurr)) | v179(VarNext) | (~nextState(VarCurr, VarNext)))),
% 14.91/10.14 inference(modus_ponens,[status(thm)],[13576, 13575])).
% 14.91/10.14 tff(13578,plain,
% 14.91/10.14 (![VarCurr: $i, VarNext: $i] : ((v159(VarNext) <=> v159(VarCurr)) | v179(VarNext) | (~nextState(VarCurr, VarNext)))),
% 14.91/10.14 inference(modus_ponens,[status(thm)],[13577, 13573])).
% 14.91/10.14 tff(13579,plain,(
% 14.91/10.14 ![VarCurr: $i, VarNext: $i] : ((v159(VarNext) <=> v159(VarCurr)) | v179(VarNext) | (~nextState(VarCurr, VarNext)))),
% 14.91/10.14 inference(skolemize,[status(sab)],[13578])).
% 14.91/10.14 tff(13580,plain,
% 14.91/10.14 (![VarCurr: $i, VarNext: $i] : ((v159(VarNext) <=> v159(VarCurr)) | v179(VarNext) | (~nextState(VarCurr, VarNext)))),
% 14.91/10.14 inference(modus_ponens,[status(thm)],[13579, 13572])).
% 14.91/10.14 tff(13581,plain,
% 14.91/10.14 (((~![VarCurr: $i, VarNext: $i] : ((v159(VarNext) <=> v159(VarCurr)) | v179(VarNext) | (~nextState(VarCurr, VarNext)))) | ((~nextState(constB148, constB149)) | v179(constB149) | (v159(constB149) <=> v159(constB148)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((v159(VarNext) <=> v159(VarCurr)) | v179(VarNext) | (~nextState(VarCurr, VarNext)))) | (~nextState(constB148, constB149)) | v179(constB149) | (v159(constB149) <=> v159(constB148)))),
% 14.91/10.14 inference(rewrite,[status(thm)],[])).
% 14.91/10.14 tff(13582,plain,
% 14.91/10.14 (((v159(constB149) <=> v159(constB148)) | v179(constB149) | (~nextState(constB148, constB149))) <=> ((~nextState(constB148, constB149)) | v179(constB149) | (v159(constB149) <=> v159(constB148)))),
% 14.91/10.14 inference(rewrite,[status(thm)],[])).
% 14.91/10.14 tff(13583,plain,
% 14.91/10.14 (((~![VarCurr: $i, VarNext: $i] : ((v159(VarNext) <=> v159(VarCurr)) | v179(VarNext) | (~nextState(VarCurr, VarNext)))) | ((v159(constB149) <=> v159(constB148)) | v179(constB149) | (~nextState(constB148, constB149)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((v159(VarNext) <=> v159(VarCurr)) | v179(VarNext) | (~nextState(VarCurr, VarNext)))) | ((~nextState(constB148, constB149)) | v179(constB149) | (v159(constB149) <=> v159(constB148))))),
% 14.91/10.14 inference(monotonicity,[status(thm)],[13582])).
% 14.91/10.14 tff(13584,plain,
% 14.91/10.14 (((~![VarCurr: $i, VarNext: $i] : ((v159(VarNext) <=> v159(VarCurr)) | v179(VarNext) | (~nextState(VarCurr, VarNext)))) | ((v159(constB149) <=> v159(constB148)) | v179(constB149) | (~nextState(constB148, constB149)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((v159(VarNext) <=> v159(VarCurr)) | v179(VarNext) | (~nextState(VarCurr, VarNext)))) | (~nextState(constB148, constB149)) | v179(constB149) | (v159(constB149) <=> v159(constB148)))),
% 14.91/10.14 inference(transitivity,[status(thm)],[13583, 13581])).
% 14.91/10.14 tff(13585,plain,
% 14.91/10.14 ((~![VarCurr: $i, VarNext: $i] : ((v159(VarNext) <=> v159(VarCurr)) | v179(VarNext) | (~nextState(VarCurr, VarNext)))) | ((v159(constB149) <=> v159(constB148)) | v179(constB149) | (~nextState(constB148, constB149)))),
% 14.91/10.14 inference(quant_inst,[status(thm)],[])).
% 14.91/10.14 tff(13586,plain,
% 14.91/10.14 ((~![VarCurr: $i, VarNext: $i] : ((v159(VarNext) <=> v159(VarCurr)) | v179(VarNext) | (~nextState(VarCurr, VarNext)))) | (~nextState(constB148, constB149)) | v179(constB149) | (v159(constB149) <=> v159(constB148))),
% 14.91/10.14 inference(modus_ponens,[status(thm)],[13585, 13584])).
% 14.91/10.14 tff(13587,plain,
% 14.91/10.14 (v179(constB149) | (v159(constB149) <=> v159(constB148))),
% 14.91/10.14 inference(unit_resolution,[status(thm)],[13586, 13539, 13580])).
% 14.91/10.14 tff(13588,plain,
% 14.91/10.14 (v159(constB149) <=> v159(constB148)),
% 14.91/10.14 inference(unit_resolution,[status(thm)],[13587, 13570])).
% 14.91/10.14 tff(13589,plain,
% 14.91/10.14 (nextState(constB147, constB148) <=> nextState(constB147, constB148)),
% 14.91/10.14 inference(rewrite,[status(thm)],[])).
% 14.91/10.14 tff(13590,axiom,(nextState(constB147, constB148)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_147')).
% 14.91/10.14 tff(13591,plain,
% 14.91/10.14 (nextState(constB147, constB148)),
% 14.91/10.14 inference(modus_ponens,[status(thm)],[13590, 13589])).
% 14.91/10.14 tff(13592,plain,
% 14.91/10.14 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v179(VarNext) <=> v180(VarNext)))) | ((~nextState(constB147, constB148)) | (v179(constB148) <=> v180(constB148)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v179(VarNext) <=> v180(VarNext)))) | (~nextState(constB147, constB148)) | (v179(constB148) <=> v180(constB148)))),
% 14.91/10.14 inference(rewrite,[status(thm)],[])).
% 14.91/10.14 tff(13593,plain,
% 14.91/10.14 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v179(VarNext) <=> v180(VarNext)))) | ((~nextState(constB147, constB148)) | (v179(constB148) <=> v180(constB148)))),
% 14.91/10.14 inference(quant_inst,[status(thm)],[])).
% 14.91/10.14 tff(13594,plain,
% 14.91/10.14 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v179(VarNext) <=> v180(VarNext)))) | (~nextState(constB147, constB148)) | (v179(constB148) <=> v180(constB148))),
% 14.91/10.14 inference(modus_ponens,[status(thm)],[13593, 13592])).
% 14.91/10.14 tff(13595,plain,
% 14.91/10.14 (v179(constB148) <=> v180(constB148)),
% 14.91/10.14 inference(unit_resolution,[status(thm)],[13594, 13591, 13536])).
% 14.91/10.14 tff(13596,plain,
% 14.91/10.14 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> (~((~v181(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB147, constB148)) | (v180(constB148) <=> (~((~v1(constB148)) | (~v181(constB148))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> (~((~v181(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB147, constB148)) | (v180(constB148) <=> (~((~v1(constB148)) | (~v181(constB148))))))),
% 14.91/10.15 inference(rewrite,[status(thm)],[])).
% 14.91/10.15 tff(13597,plain,
% 14.91/10.15 (((~nextState(constB147, constB148)) | (v180(constB148) <=> (~((~v181(constB148)) | (~v1(constB148)))))) <=> ((~nextState(constB147, constB148)) | (v180(constB148) <=> (~((~v1(constB148)) | (~v181(constB148))))))),
% 14.91/10.15 inference(rewrite,[status(thm)],[])).
% 14.91/10.15 tff(13598,plain,
% 14.91/10.15 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> (~((~v181(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB147, constB148)) | (v180(constB148) <=> (~((~v181(constB148)) | (~v1(constB148))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> (~((~v181(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB147, constB148)) | (v180(constB148) <=> (~((~v1(constB148)) | (~v181(constB148)))))))),
% 14.91/10.15 inference(monotonicity,[status(thm)],[13597])).
% 14.91/10.15 tff(13599,plain,
% 14.91/10.15 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> (~((~v181(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB147, constB148)) | (v180(constB148) <=> (~((~v181(constB148)) | (~v1(constB148))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> (~((~v181(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB147, constB148)) | (v180(constB148) <=> (~((~v1(constB148)) | (~v181(constB148))))))),
% 14.91/10.15 inference(transitivity,[status(thm)],[13598, 13596])).
% 14.91/10.15 tff(13600,plain,
% 14.91/10.15 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> (~((~v181(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB147, constB148)) | (v180(constB148) <=> (~((~v181(constB148)) | (~v1(constB148))))))),
% 14.91/10.15 inference(quant_inst,[status(thm)],[])).
% 14.91/10.15 tff(13601,plain,
% 14.91/10.15 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> (~((~v181(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB147, constB148)) | (v180(constB148) <=> (~((~v1(constB148)) | (~v181(constB148)))))),
% 14.91/10.15 inference(modus_ponens,[status(thm)],[13600, 13599])).
% 14.91/10.15 tff(13602,plain,
% 14.91/10.15 (v180(constB148) <=> (~((~v1(constB148)) | (~v181(constB148))))),
% 14.91/10.15 inference(unit_resolution,[status(thm)],[13601, 13591, 13556])).
% 14.91/10.15 tff(13603,plain,
% 14.91/10.15 (^[VarCurr: $i, VarNext: $i] : refl(((~nextState(VarCurr, VarNext)) | ((~v181(VarNext)) <=> v104(VarNext))) <=> ((~nextState(VarCurr, VarNext)) | ((~v181(VarNext)) <=> v104(VarNext))))),
% 14.91/10.15 inference(bind,[status(th)],[])).
% 14.91/10.15 tff(13604,plain,
% 14.91/10.15 (![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v181(VarNext)) <=> v104(VarNext))) <=> ![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v181(VarNext)) <=> v104(VarNext)))),
% 14.91/10.15 inference(quant_intro,[status(thm)],[13603])).
% 14.91/10.15 tff(13605,plain,
% 14.91/10.15 (![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v181(VarNext)) <=> v104(VarNext))) <=> ![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v181(VarNext)) <=> v104(VarNext)))),
% 14.91/10.15 inference(rewrite,[status(thm)],[])).
% 14.91/10.15 tff(13606,plain,
% 14.91/10.15 (^[VarCurr: $i, VarNext: $i] : rewrite((nextState(VarCurr, VarNext) => ((~v181(VarNext)) <=> v104(VarNext))) <=> ((~nextState(VarCurr, VarNext)) | ((~v181(VarNext)) <=> v104(VarNext))))),
% 14.91/10.15 inference(bind,[status(th)],[])).
% 14.91/10.15 tff(13607,plain,
% 14.91/10.15 (![VarCurr: $i, VarNext: $i] : (nextState(VarCurr, VarNext) => ((~v181(VarNext)) <=> v104(VarNext))) <=> ![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v181(VarNext)) <=> v104(VarNext)))),
% 14.91/10.15 inference(quant_intro,[status(thm)],[13606])).
% 14.91/10.15 tff(13608,axiom,(![VarCurr: $i, VarNext: $i] : (nextState(VarCurr, VarNext) => ((~v181(VarNext)) <=> v104(VarNext)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','writeUnaryOperator_14')).
% 14.91/10.15 tff(13609,plain,
% 14.91/10.15 (![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v181(VarNext)) <=> v104(VarNext)))),
% 14.91/10.15 inference(modus_ponens,[status(thm)],[13608, 13607])).
% 14.91/10.15 tff(13610,plain,
% 14.91/10.15 (![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v181(VarNext)) <=> v104(VarNext)))),
% 14.91/10.15 inference(modus_ponens,[status(thm)],[13609, 13605])).
% 14.91/10.15 tff(13611,plain,(
% 14.91/10.15 ![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v181(VarNext)) <=> v104(VarNext)))),
% 14.91/10.15 inference(skolemize,[status(sab)],[13610])).
% 14.91/10.15 tff(13612,plain,
% 14.91/10.15 (![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v181(VarNext)) <=> v104(VarNext)))),
% 14.91/10.15 inference(modus_ponens,[status(thm)],[13611, 13604])).
% 14.91/10.15 tff(13613,plain,
% 14.91/10.15 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v181(VarNext)) <=> v104(VarNext)))) | ((~nextState(constB147, constB148)) | ((~v181(constB148)) <=> v104(constB148)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v181(VarNext)) <=> v104(VarNext)))) | (~nextState(constB147, constB148)) | ((~v181(constB148)) <=> v104(constB148)))),
% 14.91/10.15 inference(rewrite,[status(thm)],[])).
% 14.91/10.15 tff(13614,plain,
% 14.91/10.15 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v181(VarNext)) <=> v104(VarNext)))) | ((~nextState(constB147, constB148)) | ((~v181(constB148)) <=> v104(constB148)))),
% 14.91/10.15 inference(quant_inst,[status(thm)],[])).
% 14.91/10.15 tff(13615,plain,
% 14.91/10.15 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v181(VarNext)) <=> v104(VarNext)))) | (~nextState(constB147, constB148)) | ((~v181(constB148)) <=> v104(constB148))),
% 14.91/10.15 inference(modus_ponens,[status(thm)],[13614, 13613])).
% 14.91/10.15 tff(13616,plain,
% 14.91/10.15 ((~v181(constB148)) <=> v104(constB148)),
% 14.91/10.15 inference(unit_resolution,[status(thm)],[13615, 13591, 13612])).
% 14.91/10.15 tff(13617,plain,
% 14.91/10.15 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB147, constB148)) | (v104(constB148) <=> v1(constB147)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | (~nextState(constB147, constB148)) | (v104(constB148) <=> v1(constB147)))),
% 14.91/10.15 inference(rewrite,[status(thm)],[])).
% 14.91/10.15 tff(13618,plain,
% 14.91/10.15 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB147, constB148)) | (v104(constB148) <=> v1(constB147)))),
% 14.91/10.15 inference(quant_inst,[status(thm)],[])).
% 14.91/10.15 tff(13619,plain,
% 14.91/10.15 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | (~nextState(constB147, constB148)) | (v104(constB148) <=> v1(constB147))),
% 14.91/10.15 inference(modus_ponens,[status(thm)],[13618, 13617])).
% 14.91/10.15 tff(13620,plain,
% 14.91/10.15 (v104(constB148) <=> v1(constB147)),
% 14.91/10.15 inference(unit_resolution,[status(thm)],[13619, 13591, 526])).
% 14.91/10.15 tff(13621,plain,
% 14.91/10.15 ((~v1(constB147)) <=> (~v1(constB147))),
% 14.91/10.15 inference(rewrite,[status(thm)],[])).
% 14.91/10.15 tff(13622,axiom,(~v1(constB147)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_147')).
% 14.91/10.15 tff(13623,plain,
% 14.91/10.15 (~v1(constB147)),
% 14.91/10.15 inference(modus_ponens,[status(thm)],[13622, 13621])).
% 14.91/10.15 tff(13624,plain,
% 14.91/10.15 ((~(v104(constB148) <=> v1(constB147))) | (~v104(constB148)) | v1(constB147)),
% 14.91/10.15 inference(tautology,[status(thm)],[])).
% 14.91/10.15 tff(13625,plain,
% 14.91/10.15 ((~(v104(constB148) <=> v1(constB147))) | (~v104(constB148))),
% 14.91/10.15 inference(unit_resolution,[status(thm)],[13624, 13623])).
% 14.91/10.15 tff(13626,plain,
% 14.91/10.15 (~v104(constB148)),
% 14.91/10.15 inference(unit_resolution,[status(thm)],[13625, 13620])).
% 14.91/10.15 tff(13627,plain,
% 14.91/10.15 ((~((~v181(constB148)) <=> v104(constB148))) | v181(constB148) | v104(constB148)),
% 14.91/10.15 inference(tautology,[status(thm)],[])).
% 14.91/10.15 tff(13628,plain,
% 14.91/10.15 (v181(constB148)),
% 14.91/10.15 inference(unit_resolution,[status(thm)],[13627, 13626, 13616])).
% 14.91/10.15 tff(13629,plain,
% 14.91/10.15 (v1(constB148) <=> v1(constB148)),
% 14.91/10.15 inference(rewrite,[status(thm)],[])).
% 14.91/10.15 tff(13630,axiom,(v1(constB148)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_148')).
% 14.91/10.15 tff(13631,plain,
% 14.91/10.15 (v1(constB148)),
% 14.91/10.15 inference(modus_ponens,[status(thm)],[13630, 13629])).
% 14.91/10.15 tff(13632,plain,
% 14.91/10.15 ((~((~v1(constB148)) | (~v181(constB148)))) | (~v1(constB148)) | (~v181(constB148))),
% 14.91/10.15 inference(tautology,[status(thm)],[])).
% 14.91/10.15 tff(13633,plain,
% 14.91/10.15 ((~((~v1(constB148)) | (~v181(constB148)))) | (~v181(constB148))),
% 14.91/10.15 inference(unit_resolution,[status(thm)],[13632, 13631])).
% 14.91/10.15 tff(13634,plain,
% 14.91/10.15 (~((~v1(constB148)) | (~v181(constB148)))),
% 14.91/10.15 inference(unit_resolution,[status(thm)],[13633, 13628])).
% 14.91/10.15 tff(13635,plain,
% 14.91/10.15 ((~(v180(constB148) <=> (~((~v1(constB148)) | (~v181(constB148)))))) | v180(constB148) | ((~v1(constB148)) | (~v181(constB148)))),
% 14.91/10.15 inference(tautology,[status(thm)],[])).
% 14.91/10.15 tff(13636,plain,
% 14.91/10.15 (v180(constB148)),
% 14.91/10.15 inference(unit_resolution,[status(thm)],[13635, 13634, 13602])).
% 14.91/10.15 tff(13637,plain,
% 14.91/10.15 ((~(v179(constB148) <=> v180(constB148))) | v179(constB148) | (~v180(constB148))),
% 14.91/10.15 inference(tautology,[status(thm)],[])).
% 14.91/10.15 tff(13638,plain,
% 14.91/10.15 (v179(constB148)),
% 14.91/10.15 inference(unit_resolution,[status(thm)],[13637, 13636, 13595])).
% 14.91/10.15 tff(13639,plain,
% 14.91/10.15 (^[VarNext: $i] : refl(((~v179(VarNext)) | (v159(VarNext) <=> v186(VarNext))) <=> ((~v179(VarNext)) | (v159(VarNext) <=> v186(VarNext))))),
% 14.91/10.15 inference(bind,[status(th)],[])).
% 14.91/10.15 tff(13640,plain,
% 14.91/10.15 (![VarNext: $i] : ((~v179(VarNext)) | (v159(VarNext) <=> v186(VarNext))) <=> ![VarNext: $i] : ((~v179(VarNext)) | (v159(VarNext) <=> v186(VarNext)))),
% 14.91/10.15 inference(quant_intro,[status(thm)],[13639])).
% 14.91/10.15 tff(13641,plain,
% 14.91/10.15 (![VarNext: $i] : ((~v179(VarNext)) | (v159(VarNext) <=> v186(VarNext))) <=> ![VarNext: $i] : ((~v179(VarNext)) | (v159(VarNext) <=> v186(VarNext)))),
% 14.91/10.15 inference(rewrite,[status(thm)],[])).
% 14.91/10.15 tff(13642,plain,
% 14.91/10.15 (^[VarNext: $i] : rewrite((v179(VarNext) => (v159(VarNext) <=> v186(VarNext))) <=> ((~v179(VarNext)) | (v159(VarNext) <=> v186(VarNext))))),
% 14.91/10.15 inference(bind,[status(th)],[])).
% 14.91/10.15 tff(13643,plain,
% 14.91/10.15 (![VarNext: $i] : (v179(VarNext) => (v159(VarNext) <=> v186(VarNext))) <=> ![VarNext: $i] : ((~v179(VarNext)) | (v159(VarNext) <=> v186(VarNext)))),
% 14.91/10.15 inference(quant_intro,[status(thm)],[13642])).
% 14.91/10.15 tff(13644,axiom,(![VarNext: $i] : (v179(VarNext) => (v159(VarNext) <=> v186(VarNext)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','addCaseBooleanConditionEqualRanges0_1')).
% 14.91/10.15 tff(13645,plain,
% 14.91/10.15 (![VarNext: $i] : ((~v179(VarNext)) | (v159(VarNext) <=> v186(VarNext)))),
% 14.91/10.15 inference(modus_ponens,[status(thm)],[13644, 13643])).
% 14.91/10.15 tff(13646,plain,
% 14.91/10.15 (![VarNext: $i] : ((~v179(VarNext)) | (v159(VarNext) <=> v186(VarNext)))),
% 14.91/10.15 inference(modus_ponens,[status(thm)],[13645, 13641])).
% 14.91/10.15 tff(13647,plain,(
% 14.91/10.15 ![VarNext: $i] : ((~v179(VarNext)) | (v159(VarNext) <=> v186(VarNext)))),
% 14.91/10.15 inference(skolemize,[status(sab)],[13646])).
% 14.91/10.15 tff(13648,plain,
% 14.91/10.15 (![VarNext: $i] : ((~v179(VarNext)) | (v159(VarNext) <=> v186(VarNext)))),
% 14.91/10.15 inference(modus_ponens,[status(thm)],[13647, 13640])).
% 14.91/10.15 tff(13649,plain,
% 14.91/10.15 (((~![VarNext: $i] : ((~v179(VarNext)) | (v159(VarNext) <=> v186(VarNext)))) | ((~v179(constB148)) | (v159(constB148) <=> v186(constB148)))) <=> ((~![VarNext: $i] : ((~v179(VarNext)) | (v159(VarNext) <=> v186(VarNext)))) | (~v179(constB148)) | (v159(constB148) <=> v186(constB148)))),
% 14.91/10.15 inference(rewrite,[status(thm)],[])).
% 14.91/10.15 tff(13650,plain,
% 14.91/10.15 ((~![VarNext: $i] : ((~v179(VarNext)) | (v159(VarNext) <=> v186(VarNext)))) | ((~v179(constB148)) | (v159(constB148) <=> v186(constB148)))),
% 14.91/10.15 inference(quant_inst,[status(thm)],[])).
% 14.91/10.15 tff(13651,plain,
% 14.91/10.15 ((~![VarNext: $i] : ((~v179(VarNext)) | (v159(VarNext) <=> v186(VarNext)))) | (~v179(constB148)) | (v159(constB148) <=> v186(constB148))),
% 14.91/10.15 inference(modus_ponens,[status(thm)],[13650, 13649])).
% 14.91/10.15 tff(13652,plain,
% 14.91/10.15 (v159(constB148) <=> v186(constB148)),
% 14.91/10.15 inference(unit_resolution,[status(thm)],[13651, 13648, 13638])).
% 14.91/10.15 tff(13653,plain,
% 14.91/10.15 (^[VarCurr: $i, VarNext: $i] : refl(((~nextState(VarCurr, VarNext)) | (v186(VarNext) <=> v161(VarCurr))) <=> ((~nextState(VarCurr, VarNext)) | (v186(VarNext) <=> v161(VarCurr))))),
% 14.91/10.15 inference(bind,[status(th)],[])).
% 14.91/10.15 tff(13654,plain,
% 14.91/10.15 (![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v186(VarNext) <=> v161(VarCurr))) <=> ![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v186(VarNext) <=> v161(VarCurr)))),
% 14.91/10.15 inference(quant_intro,[status(thm)],[13653])).
% 14.91/10.15 tff(13655,plain,
% 14.91/10.15 (![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v186(VarNext) <=> v161(VarCurr))) <=> ![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v186(VarNext) <=> v161(VarCurr)))),
% 14.91/10.15 inference(rewrite,[status(thm)],[])).
% 14.91/10.15 tff(13656,plain,
% 14.91/10.15 (^[VarCurr: $i, VarNext: $i] : rewrite((nextState(VarCurr, VarNext) => (v186(VarNext) <=> v161(VarCurr))) <=> ((~nextState(VarCurr, VarNext)) | (v186(VarNext) <=> v161(VarCurr))))),
% 14.91/10.15 inference(bind,[status(th)],[])).
% 14.91/10.15 tff(13657,plain,
% 14.91/10.15 (![VarCurr: $i, VarNext: $i] : (nextState(VarCurr, VarNext) => (v186(VarNext) <=> v161(VarCurr))) <=> ![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v186(VarNext) <=> v161(VarCurr)))),
% 14.91/10.15 inference(quant_intro,[status(thm)],[13656])).
% 14.91/10.15 tff(13658,axiom,(![VarCurr: $i, VarNext: $i] : (nextState(VarCurr, VarNext) => (v186(VarNext) <=> v161(VarCurr)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','addAssignment_11')).
% 14.91/10.15 tff(13659,plain,
% 14.91/10.15 (![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v186(VarNext) <=> v161(VarCurr)))),
% 14.91/10.15 inference(modus_ponens,[status(thm)],[13658, 13657])).
% 14.91/10.15 tff(13660,plain,
% 14.91/10.15 (![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v186(VarNext) <=> v161(VarCurr)))),
% 14.91/10.15 inference(modus_ponens,[status(thm)],[13659, 13655])).
% 14.91/10.15 tff(13661,plain,(
% 14.91/10.15 ![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v186(VarNext) <=> v161(VarCurr)))),
% 14.91/10.15 inference(skolemize,[status(sab)],[13660])).
% 14.91/10.15 tff(13662,plain,
% 14.91/10.15 (![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v186(VarNext) <=> v161(VarCurr)))),
% 14.91/10.15 inference(modus_ponens,[status(thm)],[13661, 13654])).
% 14.91/10.15 tff(13663,plain,
% 14.91/10.15 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v186(VarNext) <=> v161(VarCurr)))) | ((~nextState(constB147, constB148)) | (v186(constB148) <=> v161(constB147)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v186(VarNext) <=> v161(VarCurr)))) | (~nextState(constB147, constB148)) | (v186(constB148) <=> v161(constB147)))),
% 14.91/10.15 inference(rewrite,[status(thm)],[])).
% 14.91/10.15 tff(13664,plain,
% 14.91/10.15 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v186(VarNext) <=> v161(VarCurr)))) | ((~nextState(constB147, constB148)) | (v186(constB148) <=> v161(constB147)))),
% 14.91/10.15 inference(quant_inst,[status(thm)],[])).
% 14.91/10.15 tff(13665,plain,
% 14.91/10.15 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v186(VarNext) <=> v161(VarCurr)))) | (~nextState(constB147, constB148)) | (v186(constB148) <=> v161(constB147))),
% 14.91/10.15 inference(modus_ponens,[status(thm)],[13664, 13663])).
% 14.91/10.15 tff(13666,plain,
% 14.91/10.15 (v186(constB148) <=> v161(constB147)),
% 14.91/10.15 inference(unit_resolution,[status(thm)],[13665, 13591, 13662])).
% 14.91/10.15 tff(13667,plain,
% 14.91/10.15 ((~![VarCurr: $i] : (v161(VarCurr) <=> v163(VarCurr))) | (v161(constB147) <=> v163(constB147))),
% 14.91/10.15 inference(quant_inst,[status(thm)],[])).
% 14.91/10.15 tff(13668,plain,
% 14.91/10.15 (v161(constB147) <=> v163(constB147)),
% 14.91/10.15 inference(unit_resolution,[status(thm)],[13667, 357])).
% 14.91/10.15 tff(13669,plain,
% 14.91/10.15 ((~![VarCurr: $i] : (v171(VarCurr) <=> (v142(VarCurr) | v150(VarCurr)))) | (v171(constB147) <=> (v142(constB147) | v150(constB147)))),
% 14.91/10.15 inference(quant_inst,[status(thm)],[])).
% 14.91/10.15 tff(13670,plain,
% 14.91/10.15 (v171(constB147) <=> (v142(constB147) | v150(constB147))),
% 14.91/10.15 inference(unit_resolution,[status(thm)],[13669, 369])).
% 14.91/10.15 tff(13671,plain,
% 14.91/10.15 (^[VarCurr: $i] : refl((v150(VarCurr) <=> (v141(VarCurr) | v151(VarCurr))) <=> (v150(VarCurr) <=> (v141(VarCurr) | v151(VarCurr))))),
% 14.91/10.15 inference(bind,[status(th)],[])).
% 14.91/10.15 tff(13672,plain,
% 14.91/10.15 (![VarCurr: $i] : (v150(VarCurr) <=> (v141(VarCurr) | v151(VarCurr))) <=> ![VarCurr: $i] : (v150(VarCurr) <=> (v141(VarCurr) | v151(VarCurr)))),
% 14.91/10.15 inference(quant_intro,[status(thm)],[13671])).
% 14.91/10.15 tff(13673,plain,
% 14.91/10.15 (![VarCurr: $i] : (v150(VarCurr) <=> (v141(VarCurr) | v151(VarCurr))) <=> ![VarCurr: $i] : (v150(VarCurr) <=> (v141(VarCurr) | v151(VarCurr)))),
% 14.91/10.15 inference(rewrite,[status(thm)],[])).
% 14.91/10.15 tff(13674,plain,
% 14.91/10.15 (^[VarCurr: $i] : rewrite((v150(VarCurr) <=> (v151(VarCurr) | v141(VarCurr))) <=> (v150(VarCurr) <=> (v141(VarCurr) | v151(VarCurr))))),
% 14.91/10.15 inference(bind,[status(th)],[])).
% 14.91/10.15 tff(13675,plain,
% 14.91/10.15 (![VarCurr: $i] : (v150(VarCurr) <=> (v151(VarCurr) | v141(VarCurr))) <=> ![VarCurr: $i] : (v150(VarCurr) <=> (v141(VarCurr) | v151(VarCurr)))),
% 14.91/10.15 inference(quant_intro,[status(thm)],[13674])).
% 14.91/10.15 tff(13676,axiom,(![VarCurr: $i] : (v150(VarCurr) <=> (v151(VarCurr) | v141(VarCurr)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','writeBinaryOperatorEqualRangesSingleBits_40')).
% 14.91/10.15 tff(13677,plain,
% 14.91/10.15 (![VarCurr: $i] : (v150(VarCurr) <=> (v141(VarCurr) | v151(VarCurr)))),
% 14.91/10.15 inference(modus_ponens,[status(thm)],[13676, 13675])).
% 14.91/10.15 tff(13678,plain,
% 14.91/10.15 (![VarCurr: $i] : (v150(VarCurr) <=> (v141(VarCurr) | v151(VarCurr)))),
% 14.91/10.15 inference(modus_ponens,[status(thm)],[13677, 13673])).
% 14.91/10.15 tff(13679,plain,(
% 14.91/10.15 ![VarCurr: $i] : (v150(VarCurr) <=> (v141(VarCurr) | v151(VarCurr)))),
% 14.91/10.15 inference(skolemize,[status(sab)],[13678])).
% 14.91/10.15 tff(13680,plain,
% 14.91/10.15 (![VarCurr: $i] : (v150(VarCurr) <=> (v141(VarCurr) | v151(VarCurr)))),
% 14.91/10.15 inference(modus_ponens,[status(thm)],[13679, 13672])).
% 14.91/10.15 tff(13681,plain,
% 14.91/10.15 ((~![VarCurr: $i] : (v150(VarCurr) <=> (v141(VarCurr) | v151(VarCurr)))) | (v150(constB147) <=> (v141(constB147) | v151(constB147)))),
% 14.91/10.15 inference(quant_inst,[status(thm)],[])).
% 14.91/10.15 tff(13682,plain,
% 14.91/10.15 (v150(constB147) <=> (v141(constB147) | v151(constB147))),
% 14.91/10.15 inference(unit_resolution,[status(thm)],[13681, 13680])).
% 14.91/10.15 tff(13683,plain,
% 14.91/10.15 (^[VarCurr: $i] : refl((v151(VarCurr) <=> (v139(VarCurr) | v140(VarCurr))) <=> (v151(VarCurr) <=> (v139(VarCurr) | v140(VarCurr))))),
% 14.91/10.15 inference(bind,[status(th)],[])).
% 14.91/10.15 tff(13684,plain,
% 14.91/10.15 (![VarCurr: $i] : (v151(VarCurr) <=> (v139(VarCurr) | v140(VarCurr))) <=> ![VarCurr: $i] : (v151(VarCurr) <=> (v139(VarCurr) | v140(VarCurr)))),
% 14.91/10.15 inference(quant_intro,[status(thm)],[13683])).
% 14.91/10.15 tff(13685,plain,
% 14.91/10.15 (![VarCurr: $i] : (v151(VarCurr) <=> (v139(VarCurr) | v140(VarCurr))) <=> ![VarCurr: $i] : (v151(VarCurr) <=> (v139(VarCurr) | v140(VarCurr)))),
% 14.91/10.15 inference(rewrite,[status(thm)],[])).
% 14.91/10.15 tff(13686,axiom,(![VarCurr: $i] : (v151(VarCurr) <=> (v139(VarCurr) | v140(VarCurr)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','writeBinaryOperatorEqualRangesSingleBits_34')).
% 14.91/10.15 tff(13687,plain,
% 14.91/10.15 (![VarCurr: $i] : (v151(VarCurr) <=> (v139(VarCurr) | v140(VarCurr)))),
% 14.91/10.15 inference(modus_ponens,[status(thm)],[13686, 13685])).
% 14.91/10.15 tff(13688,plain,(
% 14.91/10.15 ![VarCurr: $i] : (v151(VarCurr) <=> (v139(VarCurr) | v140(VarCurr)))),
% 14.91/10.15 inference(skolemize,[status(sab)],[13687])).
% 14.91/10.15 tff(13689,plain,
% 14.91/10.15 (![VarCurr: $i] : (v151(VarCurr) <=> (v139(VarCurr) | v140(VarCurr)))),
% 14.91/10.15 inference(modus_ponens,[status(thm)],[13688, 13684])).
% 14.91/10.15 tff(13690,plain,
% 14.91/10.15 ((~![VarCurr: $i] : (v151(VarCurr) <=> (v139(VarCurr) | v140(VarCurr)))) | (v151(constB147) <=> (v139(constB147) | v140(constB147)))),
% 14.91/10.15 inference(quant_inst,[status(thm)],[])).
% 14.91/10.15 tff(13691,plain,
% 14.91/10.15 (v151(constB147) <=> (v139(constB147) | v140(constB147))),
% 14.91/10.15 inference(unit_resolution,[status(thm)],[13690, 13689])).
% 14.91/10.15 tff(13692,plain,
% 14.91/10.15 (^[VarCurr: $i] : refl((v140(VarCurr) <=> (~(v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex0))))) <=> (v140(VarCurr) <=> (~(v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex0))))))),
% 14.91/10.15 inference(bind,[status(th)],[])).
% 14.91/10.15 tff(13693,plain,
% 14.91/10.15 (![VarCurr: $i] : (v140(VarCurr) <=> (~(v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex0))))) <=> ![VarCurr: $i] : (v140(VarCurr) <=> (~(v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex0)))))),
% 14.91/10.15 inference(quant_intro,[status(thm)],[13692])).
% 14.91/10.15 tff(13694,plain,
% 14.91/10.15 (^[VarCurr: $i] : rewrite((v140(VarCurr) <=> ((~v88(VarCurr, bitIndex2)) & (~v88(VarCurr, bitIndex1)) & v88(VarCurr, bitIndex0))) <=> (v140(VarCurr) <=> (~(v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex0))))))),
% 14.91/10.16 inference(bind,[status(th)],[])).
% 14.91/10.16 tff(13695,plain,
% 14.91/10.16 (![VarCurr: $i] : (v140(VarCurr) <=> ((~v88(VarCurr, bitIndex2)) & (~v88(VarCurr, bitIndex1)) & v88(VarCurr, bitIndex0))) <=> ![VarCurr: $i] : (v140(VarCurr) <=> (~(v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex0)))))),
% 14.91/10.16 inference(quant_intro,[status(thm)],[13694])).
% 14.91/10.16 tff(13696,plain,
% 14.91/10.16 (![VarCurr: $i] : (v140(VarCurr) <=> ((~v88(VarCurr, bitIndex2)) & (~v88(VarCurr, bitIndex1)) & v88(VarCurr, bitIndex0))) <=> ![VarCurr: $i] : (v140(VarCurr) <=> ((~v88(VarCurr, bitIndex2)) & (~v88(VarCurr, bitIndex1)) & v88(VarCurr, bitIndex0)))),
% 14.91/10.16 inference(rewrite,[status(thm)],[])).
% 14.91/10.16 tff(13697,plain,
% 14.91/10.16 (^[VarCurr: $i] : rewrite((v140(VarCurr) <=> (((v88(VarCurr, bitIndex2) <=> $false) & (v88(VarCurr, bitIndex1) <=> $false)) & (v88(VarCurr, bitIndex0) <=> $true))) <=> (v140(VarCurr) <=> ((~v88(VarCurr, bitIndex2)) & (~v88(VarCurr, bitIndex1)) & v88(VarCurr, bitIndex0))))),
% 14.91/10.16 inference(bind,[status(th)],[])).
% 14.91/10.16 tff(13698,plain,
% 14.91/10.16 (![VarCurr: $i] : (v140(VarCurr) <=> (((v88(VarCurr, bitIndex2) <=> $false) & (v88(VarCurr, bitIndex1) <=> $false)) & (v88(VarCurr, bitIndex0) <=> $true))) <=> ![VarCurr: $i] : (v140(VarCurr) <=> ((~v88(VarCurr, bitIndex2)) & (~v88(VarCurr, bitIndex1)) & v88(VarCurr, bitIndex0)))),
% 14.91/10.16 inference(quant_intro,[status(thm)],[13697])).
% 14.91/10.16 tff(13699,axiom,(![VarCurr: $i] : (v140(VarCurr) <=> (((v88(VarCurr, bitIndex2) <=> $false) & (v88(VarCurr, bitIndex1) <=> $false)) & (v88(VarCurr, bitIndex0) <=> $true)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','addBitVectorEqualityBitBlasted_10')).
% 14.91/10.16 tff(13700,plain,
% 14.91/10.16 (![VarCurr: $i] : (v140(VarCurr) <=> ((~v88(VarCurr, bitIndex2)) & (~v88(VarCurr, bitIndex1)) & v88(VarCurr, bitIndex0)))),
% 14.91/10.16 inference(modus_ponens,[status(thm)],[13699, 13698])).
% 14.91/10.16 tff(13701,plain,
% 14.91/10.16 (![VarCurr: $i] : (v140(VarCurr) <=> ((~v88(VarCurr, bitIndex2)) & (~v88(VarCurr, bitIndex1)) & v88(VarCurr, bitIndex0)))),
% 14.91/10.16 inference(modus_ponens,[status(thm)],[13700, 13696])).
% 14.91/10.16 tff(13702,plain,(
% 14.91/10.16 ![VarCurr: $i] : (v140(VarCurr) <=> ((~v88(VarCurr, bitIndex2)) & (~v88(VarCurr, bitIndex1)) & v88(VarCurr, bitIndex0)))),
% 14.91/10.16 inference(skolemize,[status(sab)],[13701])).
% 14.91/10.16 tff(13703,plain,
% 14.91/10.16 (![VarCurr: $i] : (v140(VarCurr) <=> (~(v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex0)))))),
% 14.91/10.16 inference(modus_ponens,[status(thm)],[13702, 13695])).
% 14.91/10.16 tff(13704,plain,
% 14.91/10.16 (![VarCurr: $i] : (v140(VarCurr) <=> (~(v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex0)))))),
% 14.91/10.16 inference(modus_ponens,[status(thm)],[13703, 13693])).
% 14.91/10.16 tff(13705,plain,
% 14.91/10.16 (((~![VarCurr: $i] : (v140(VarCurr) <=> (~(v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex0)))))) | (v140(constB147) <=> (~(v88(constB147, bitIndex2) | v88(constB147, bitIndex1) | (~v88(constB147, bitIndex0)))))) <=> ((~![VarCurr: $i] : (v140(VarCurr) <=> (~(v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex0)))))) | (v140(constB147) <=> (~(v88(constB147, bitIndex2) | v88(constB147, bitIndex1) | (~v88(constB147, bitIndex0))))))),
% 14.91/10.16 inference(rewrite,[status(thm)],[])).
% 14.91/10.16 tff(13706,plain,
% 14.91/10.16 ((v140(constB147) <=> (~(v88(constB147, bitIndex1) | v88(constB147, bitIndex2) | (~v88(constB147, bitIndex0))))) <=> (v140(constB147) <=> (~(v88(constB147, bitIndex2) | v88(constB147, bitIndex1) | (~v88(constB147, bitIndex0)))))),
% 14.91/10.16 inference(rewrite,[status(thm)],[])).
% 14.91/10.16 tff(13707,plain,
% 14.91/10.16 (((~![VarCurr: $i] : (v140(VarCurr) <=> (~(v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex0)))))) | (v140(constB147) <=> (~(v88(constB147, bitIndex1) | v88(constB147, bitIndex2) | (~v88(constB147, bitIndex0)))))) <=> ((~![VarCurr: $i] : (v140(VarCurr) <=> (~(v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex0)))))) | (v140(constB147) <=> (~(v88(constB147, bitIndex2) | v88(constB147, bitIndex1) | (~v88(constB147, bitIndex0))))))),
% 14.91/10.16 inference(monotonicity,[status(thm)],[13706])).
% 14.91/10.16 tff(13708,plain,
% 14.91/10.16 (((~![VarCurr: $i] : (v140(VarCurr) <=> (~(v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex0)))))) | (v140(constB147) <=> (~(v88(constB147, bitIndex1) | v88(constB147, bitIndex2) | (~v88(constB147, bitIndex0)))))) <=> ((~![VarCurr: $i] : (v140(VarCurr) <=> (~(v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex0)))))) | (v140(constB147) <=> (~(v88(constB147, bitIndex2) | v88(constB147, bitIndex1) | (~v88(constB147, bitIndex0))))))),
% 14.91/10.16 inference(transitivity,[status(thm)],[13707, 13705])).
% 14.91/10.16 tff(13709,plain,
% 14.91/10.16 ((~![VarCurr: $i] : (v140(VarCurr) <=> (~(v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex0)))))) | (v140(constB147) <=> (~(v88(constB147, bitIndex1) | v88(constB147, bitIndex2) | (~v88(constB147, bitIndex0)))))),
% 14.91/10.16 inference(quant_inst,[status(thm)],[])).
% 14.91/10.16 tff(13710,plain,
% 14.91/10.16 ((~![VarCurr: $i] : (v140(VarCurr) <=> (~(v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex0)))))) | (v140(constB147) <=> (~(v88(constB147, bitIndex2) | v88(constB147, bitIndex1) | (~v88(constB147, bitIndex0)))))),
% 14.91/10.16 inference(modus_ponens,[status(thm)],[13709, 13708])).
% 14.91/10.16 tff(13711,plain,
% 14.91/10.16 (v140(constB147) <=> (~(v88(constB147, bitIndex2) | v88(constB147, bitIndex1) | (~v88(constB147, bitIndex0))))),
% 14.91/10.16 inference(unit_resolution,[status(thm)],[13710, 13704])).
% 14.91/10.16 tff(13712,plain,
% 14.91/10.16 (((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | ((~less_3(bitIndex2)) | (v88(constB147, bitIndex2) <=> v90(constB147, bitIndex2)))) <=> ((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | (~less_3(bitIndex2)) | (v88(constB147, bitIndex2) <=> v90(constB147, bitIndex2)))),
% 14.91/10.16 inference(rewrite,[status(thm)],[])).
% 14.91/10.16 tff(13713,plain,
% 14.91/10.16 ((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | ((~less_3(bitIndex2)) | (v88(constB147, bitIndex2) <=> v90(constB147, bitIndex2)))),
% 14.91/10.16 inference(quant_inst,[status(thm)],[])).
% 14.91/10.16 tff(13714,plain,
% 14.91/10.16 ((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | (~less_3(bitIndex2)) | (v88(constB147, bitIndex2) <=> v90(constB147, bitIndex2))),
% 14.91/10.16 inference(modus_ponens,[status(thm)],[13713, 13712])).
% 14.91/10.16 tff(13715,plain,
% 14.91/10.16 (v88(constB147, bitIndex2) <=> v90(constB147, bitIndex2)),
% 14.91/10.16 inference(unit_resolution,[status(thm)],[13714, 413, 410])).
% 14.91/10.16 tff(13716,plain,
% 14.91/10.16 (nextState(constB146, constB147) <=> nextState(constB146, constB147)),
% 14.91/10.16 inference(rewrite,[status(thm)],[])).
% 14.91/10.16 tff(13717,axiom,(nextState(constB146, constB147)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_146')).
% 14.91/10.16 tff(13718,plain,
% 14.91/10.16 (nextState(constB146, constB147)),
% 14.91/10.16 inference(modus_ponens,[status(thm)],[13717, 13716])).
% 14.91/10.16 tff(13719,plain,
% 14.91/10.16 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB146, constB147)) | (v100(constB147) <=> (~((~v101(constB147)) | (~v110(constB147))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB146, constB147)) | (v100(constB147) <=> (~((~v101(constB147)) | (~v110(constB147))))))),
% 14.91/10.16 inference(rewrite,[status(thm)],[])).
% 14.91/10.16 tff(13720,plain,
% 14.91/10.16 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB146, constB147)) | (v100(constB147) <=> (~((~v101(constB147)) | (~v110(constB147))))))),
% 14.91/10.16 inference(quant_inst,[status(thm)],[])).
% 14.91/10.16 tff(13721,plain,
% 14.91/10.16 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB146, constB147)) | (v100(constB147) <=> (~((~v101(constB147)) | (~v110(constB147)))))),
% 14.91/10.16 inference(modus_ponens,[status(thm)],[13720, 13719])).
% 14.91/10.16 tff(13722,plain,
% 14.91/10.16 (v100(constB147) <=> (~((~v101(constB147)) | (~v110(constB147))))),
% 14.91/10.16 inference(unit_resolution,[status(thm)],[13721, 13718, 430])).
% 14.91/10.16 tff(13723,plain,
% 14.91/10.16 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB146, constB147)) | (v101(constB147) <=> (~((~v1(constB147)) | (~v102(constB147))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB146, constB147)) | (v101(constB147) <=> (~((~v1(constB147)) | (~v102(constB147))))))),
% 14.91/10.16 inference(rewrite,[status(thm)],[])).
% 14.91/10.16 tff(13724,plain,
% 14.91/10.16 (((~nextState(constB146, constB147)) | (v101(constB147) <=> (~((~v102(constB147)) | (~v1(constB147)))))) <=> ((~nextState(constB146, constB147)) | (v101(constB147) <=> (~((~v1(constB147)) | (~v102(constB147))))))),
% 14.91/10.16 inference(rewrite,[status(thm)],[])).
% 14.91/10.16 tff(13725,plain,
% 14.91/10.16 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB146, constB147)) | (v101(constB147) <=> (~((~v102(constB147)) | (~v1(constB147))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB146, constB147)) | (v101(constB147) <=> (~((~v1(constB147)) | (~v102(constB147)))))))),
% 14.91/10.16 inference(monotonicity,[status(thm)],[13724])).
% 14.91/10.16 tff(13726,plain,
% 14.91/10.16 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB146, constB147)) | (v101(constB147) <=> (~((~v102(constB147)) | (~v1(constB147))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB146, constB147)) | (v101(constB147) <=> (~((~v1(constB147)) | (~v102(constB147))))))),
% 14.91/10.16 inference(transitivity,[status(thm)],[13725, 13723])).
% 14.91/10.16 tff(13727,plain,
% 14.91/10.16 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB146, constB147)) | (v101(constB147) <=> (~((~v102(constB147)) | (~v1(constB147))))))),
% 14.91/10.16 inference(quant_inst,[status(thm)],[])).
% 14.91/10.16 tff(13728,plain,
% 14.91/10.16 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB146, constB147)) | (v101(constB147) <=> (~((~v1(constB147)) | (~v102(constB147)))))),
% 14.91/10.16 inference(modus_ponens,[status(thm)],[13727, 13726])).
% 14.91/10.16 tff(13729,plain,
% 14.91/10.16 (v101(constB147) <=> (~((~v1(constB147)) | (~v102(constB147))))),
% 14.91/10.16 inference(unit_resolution,[status(thm)],[13728, 13718, 450])).
% 14.91/10.16 tff(13730,plain,
% 14.91/10.16 (((~v1(constB147)) | (~v102(constB147))) | v1(constB147)),
% 14.91/10.16 inference(tautology,[status(thm)],[])).
% 14.91/10.16 tff(13731,plain,
% 14.91/10.16 ((~v1(constB147)) | (~v102(constB147))),
% 14.91/10.16 inference(unit_resolution,[status(thm)],[13730, 13623])).
% 14.91/10.16 tff(13732,plain,
% 14.91/10.16 ((~(v101(constB147) <=> (~((~v1(constB147)) | (~v102(constB147)))))) | (~v101(constB147)) | (~((~v1(constB147)) | (~v102(constB147))))),
% 14.91/10.16 inference(tautology,[status(thm)],[])).
% 14.91/10.16 tff(13733,plain,
% 14.91/10.16 ((~(v101(constB147) <=> (~((~v1(constB147)) | (~v102(constB147)))))) | (~v101(constB147))),
% 14.91/10.16 inference(unit_resolution,[status(thm)],[13732, 13731])).
% 14.91/10.16 tff(13734,plain,
% 14.91/10.16 (~v101(constB147)),
% 14.91/10.16 inference(unit_resolution,[status(thm)],[13733, 13729])).
% 14.91/10.16 tff(13735,plain,
% 14.91/10.16 (((~v101(constB147)) | (~v110(constB147))) | v101(constB147)),
% 14.91/10.16 inference(tautology,[status(thm)],[])).
% 14.91/10.16 tff(13736,plain,
% 14.91/10.16 ((~v101(constB147)) | (~v110(constB147))),
% 14.91/10.16 inference(unit_resolution,[status(thm)],[13735, 13734])).
% 14.91/10.16 tff(13737,plain,
% 14.91/10.16 ((~(v100(constB147) <=> (~((~v101(constB147)) | (~v110(constB147)))))) | (~v100(constB147)) | (~((~v101(constB147)) | (~v110(constB147))))),
% 14.91/10.16 inference(tautology,[status(thm)],[])).
% 14.91/10.16 tff(13738,plain,
% 14.91/10.16 (~v100(constB147)),
% 14.91/10.16 inference(unit_resolution,[status(thm)],[13737, 13736, 13722])).
% 14.91/10.16 tff(13739,plain,
% 14.91/10.16 (((~![VarCurr: $i, VarNext: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v90(VarCurr, B))))) | (v100(constB147) | (~nextState(constB146, constB147)) | ![B: $i] : ((~less_3(B)) | (v90(constB147, B) <=> v90(constB146, B))))) <=> ((~![VarCurr: $i, VarNext: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v90(VarCurr, B))))) | v100(constB147) | (~nextState(constB146, constB147)) | ![B: $i] : ((~less_3(B)) | (v90(constB147, B) <=> v90(constB146, B))))),
% 14.91/10.16 inference(rewrite,[status(thm)],[])).
% 14.91/10.16 tff(13740,plain,
% 14.91/10.16 ((~![VarCurr: $i, VarNext: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v90(VarCurr, B))))) | (v100(constB147) | (~nextState(constB146, constB147)) | ![B: $i] : ((~less_3(B)) | (v90(constB147, B) <=> v90(constB146, B))))),
% 14.91/10.16 inference(quant_inst,[status(thm)],[])).
% 14.91/10.16 tff(13741,plain,
% 14.91/10.16 ((~![VarCurr: $i, VarNext: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v90(VarCurr, B))))) | v100(constB147) | (~nextState(constB146, constB147)) | ![B: $i] : ((~less_3(B)) | (v90(constB147, B) <=> v90(constB146, B)))),
% 14.91/10.16 inference(modus_ponens,[status(thm)],[13740, 13739])).
% 14.91/10.16 tff(13742,plain,
% 14.91/10.16 (v100(constB147) | ![B: $i] : ((~less_3(B)) | (v90(constB147, B) <=> v90(constB146, B)))),
% 14.91/10.16 inference(unit_resolution,[status(thm)],[13741, 13718, 479])).
% 14.91/10.16 tff(13743,plain,
% 14.91/10.16 (![B: $i] : ((~less_3(B)) | (v90(constB147, B) <=> v90(constB146, B)))),
% 14.91/10.16 inference(unit_resolution,[status(thm)],[13742, 13738])).
% 14.91/10.16 tff(13744,plain,
% 14.91/10.16 (((~![B: $i] : ((~less_3(B)) | (v90(constB147, B) <=> v90(constB146, B)))) | ((~less_3(bitIndex2)) | (v90(constB147, bitIndex2) <=> v90(constB146, bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v90(constB147, B) <=> v90(constB146, B)))) | (~less_3(bitIndex2)) | (v90(constB147, bitIndex2) <=> v90(constB146, bitIndex2)))),
% 14.91/10.16 inference(rewrite,[status(thm)],[])).
% 14.91/10.16 tff(13745,plain,
% 14.91/10.16 ((~![B: $i] : ((~less_3(B)) | (v90(constB147, B) <=> v90(constB146, B)))) | ((~less_3(bitIndex2)) | (v90(constB147, bitIndex2) <=> v90(constB146, bitIndex2)))),
% 14.91/10.16 inference(quant_inst,[status(thm)],[])).
% 14.91/10.16 tff(13746,plain,
% 14.91/10.16 ((~![B: $i] : ((~less_3(B)) | (v90(constB147, B) <=> v90(constB146, B)))) | (~less_3(bitIndex2)) | (v90(constB147, bitIndex2) <=> v90(constB146, bitIndex2))),
% 14.91/10.16 inference(modus_ponens,[status(thm)],[13745, 13744])).
% 14.91/10.16 tff(13747,plain,
% 14.91/10.16 (v90(constB147, bitIndex2) <=> v90(constB146, bitIndex2)),
% 14.91/10.16 inference(unit_resolution,[status(thm)],[13746, 413, 13743])).
% 14.91/10.16 tff(13748,plain,
% 14.91/10.16 (nextState(constB145, constB146) <=> nextState(constB145, constB146)),
% 14.91/10.16 inference(rewrite,[status(thm)],[])).
% 14.91/10.16 tff(13749,axiom,(nextState(constB145, constB146)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_145')).
% 14.91/10.16 tff(13750,plain,
% 14.91/10.16 (nextState(constB145, constB146)),
% 14.91/10.16 inference(modus_ponens,[status(thm)],[13749, 13748])).
% 14.91/10.16 tff(13751,plain,
% 14.91/10.16 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB145, constB146)) | (v100(constB146) <=> (~((~v101(constB146)) | (~v110(constB146))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB145, constB146)) | (v100(constB146) <=> (~((~v101(constB146)) | (~v110(constB146))))))),
% 14.91/10.16 inference(rewrite,[status(thm)],[])).
% 14.91/10.16 tff(13752,plain,
% 14.91/10.16 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB145, constB146)) | (v100(constB146) <=> (~((~v101(constB146)) | (~v110(constB146))))))),
% 14.91/10.16 inference(quant_inst,[status(thm)],[])).
% 14.91/10.16 tff(13753,plain,
% 14.91/10.16 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB145, constB146)) | (v100(constB146) <=> (~((~v101(constB146)) | (~v110(constB146)))))),
% 14.91/10.17 inference(modus_ponens,[status(thm)],[13752, 13751])).
% 14.91/10.17 tff(13754,plain,
% 14.91/10.17 (v100(constB146) <=> (~((~v101(constB146)) | (~v110(constB146))))),
% 14.91/10.17 inference(unit_resolution,[status(thm)],[13753, 13750, 430])).
% 14.91/10.17 tff(13755,plain,
% 14.91/10.17 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB145, constB146)) | (v101(constB146) <=> (~((~v1(constB146)) | (~v102(constB146))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB145, constB146)) | (v101(constB146) <=> (~((~v1(constB146)) | (~v102(constB146))))))),
% 14.91/10.17 inference(rewrite,[status(thm)],[])).
% 14.91/10.17 tff(13756,plain,
% 14.91/10.17 (((~nextState(constB145, constB146)) | (v101(constB146) <=> (~((~v102(constB146)) | (~v1(constB146)))))) <=> ((~nextState(constB145, constB146)) | (v101(constB146) <=> (~((~v1(constB146)) | (~v102(constB146))))))),
% 14.91/10.17 inference(rewrite,[status(thm)],[])).
% 14.91/10.17 tff(13757,plain,
% 14.91/10.17 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB145, constB146)) | (v101(constB146) <=> (~((~v102(constB146)) | (~v1(constB146))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB145, constB146)) | (v101(constB146) <=> (~((~v1(constB146)) | (~v102(constB146)))))))),
% 14.91/10.17 inference(monotonicity,[status(thm)],[13756])).
% 14.91/10.17 tff(13758,plain,
% 14.91/10.17 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB145, constB146)) | (v101(constB146) <=> (~((~v102(constB146)) | (~v1(constB146))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB145, constB146)) | (v101(constB146) <=> (~((~v1(constB146)) | (~v102(constB146))))))),
% 14.91/10.17 inference(transitivity,[status(thm)],[13757, 13755])).
% 14.91/10.17 tff(13759,plain,
% 14.91/10.17 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB145, constB146)) | (v101(constB146) <=> (~((~v102(constB146)) | (~v1(constB146))))))),
% 14.91/10.17 inference(quant_inst,[status(thm)],[])).
% 14.91/10.17 tff(13760,plain,
% 14.91/10.17 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB145, constB146)) | (v101(constB146) <=> (~((~v1(constB146)) | (~v102(constB146)))))),
% 14.91/10.17 inference(modus_ponens,[status(thm)],[13759, 13758])).
% 14.91/10.17 tff(13761,plain,
% 14.91/10.17 (v101(constB146) <=> (~((~v1(constB146)) | (~v102(constB146))))),
% 14.91/10.17 inference(unit_resolution,[status(thm)],[13760, 13750, 450])).
% 14.91/10.17 tff(13762,plain,
% 14.91/10.17 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | ((~nextState(constB145, constB146)) | ((~v102(constB146)) <=> v104(constB146)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | (~nextState(constB145, constB146)) | ((~v102(constB146)) <=> v104(constB146)))),
% 14.91/10.17 inference(rewrite,[status(thm)],[])).
% 14.91/10.17 tff(13763,plain,
% 14.91/10.17 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | ((~nextState(constB145, constB146)) | ((~v102(constB146)) <=> v104(constB146)))),
% 14.91/10.17 inference(quant_inst,[status(thm)],[])).
% 14.91/10.17 tff(13764,plain,
% 14.91/10.17 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | (~nextState(constB145, constB146)) | ((~v102(constB146)) <=> v104(constB146))),
% 14.91/10.17 inference(modus_ponens,[status(thm)],[13763, 13762])).
% 14.91/10.17 tff(13765,plain,
% 14.91/10.17 ((~v102(constB146)) <=> v104(constB146)),
% 14.91/10.17 inference(unit_resolution,[status(thm)],[13764, 13750, 512])).
% 14.91/10.17 tff(13766,plain,
% 14.91/10.17 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB145, constB146)) | (v104(constB146) <=> v1(constB145)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | (~nextState(constB145, constB146)) | (v104(constB146) <=> v1(constB145)))),
% 14.91/10.17 inference(rewrite,[status(thm)],[])).
% 14.91/10.17 tff(13767,plain,
% 14.91/10.17 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB145, constB146)) | (v104(constB146) <=> v1(constB145)))),
% 14.91/10.17 inference(quant_inst,[status(thm)],[])).
% 14.91/10.17 tff(13768,plain,
% 14.91/10.17 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | (~nextState(constB145, constB146)) | (v104(constB146) <=> v1(constB145))),
% 14.91/10.17 inference(modus_ponens,[status(thm)],[13767, 13766])).
% 14.91/10.17 tff(13769,plain,
% 14.91/10.17 (v104(constB146) <=> v1(constB145)),
% 14.91/10.17 inference(unit_resolution,[status(thm)],[13768, 13750, 526])).
% 14.91/10.17 tff(13770,plain,
% 14.91/10.17 ((~v1(constB145)) <=> (~v1(constB145))),
% 14.91/10.17 inference(rewrite,[status(thm)],[])).
% 14.91/10.17 tff(13771,axiom,(~v1(constB145)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_145')).
% 14.91/10.17 tff(13772,plain,
% 14.91/10.17 (~v1(constB145)),
% 14.91/10.17 inference(modus_ponens,[status(thm)],[13771, 13770])).
% 14.91/10.17 tff(13773,plain,
% 14.91/10.17 ((~(v104(constB146) <=> v1(constB145))) | (~v104(constB146)) | v1(constB145)),
% 14.91/10.17 inference(tautology,[status(thm)],[])).
% 14.91/10.17 tff(13774,plain,
% 14.91/10.17 ((~(v104(constB146) <=> v1(constB145))) | (~v104(constB146))),
% 14.91/10.17 inference(unit_resolution,[status(thm)],[13773, 13772])).
% 14.91/10.17 tff(13775,plain,
% 14.91/10.17 (~v104(constB146)),
% 14.91/10.17 inference(unit_resolution,[status(thm)],[13774, 13769])).
% 14.91/10.17 tff(13776,plain,
% 14.91/10.17 ((~((~v102(constB146)) <=> v104(constB146))) | v102(constB146) | v104(constB146)),
% 14.91/10.17 inference(tautology,[status(thm)],[])).
% 14.91/10.17 tff(13777,plain,
% 14.91/10.17 (v102(constB146)),
% 14.91/10.17 inference(unit_resolution,[status(thm)],[13776, 13775, 13765])).
% 14.91/10.17 tff(13778,plain,
% 14.91/10.17 (v1(constB146) <=> v1(constB146)),
% 14.91/10.17 inference(rewrite,[status(thm)],[])).
% 14.91/10.17 tff(13779,axiom,(v1(constB146)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_146')).
% 14.91/10.17 tff(13780,plain,
% 14.91/10.17 (v1(constB146)),
% 14.91/10.17 inference(modus_ponens,[status(thm)],[13779, 13778])).
% 14.91/10.17 tff(13781,plain,
% 14.91/10.17 ((~((~v1(constB146)) | (~v102(constB146)))) | (~v1(constB146)) | (~v102(constB146))),
% 14.91/10.17 inference(tautology,[status(thm)],[])).
% 14.91/10.17 tff(13782,plain,
% 14.91/10.17 ((~((~v1(constB146)) | (~v102(constB146)))) | (~v102(constB146))),
% 14.91/10.17 inference(unit_resolution,[status(thm)],[13781, 13780])).
% 14.91/10.17 tff(13783,plain,
% 14.91/10.17 (~((~v1(constB146)) | (~v102(constB146)))),
% 14.91/10.17 inference(unit_resolution,[status(thm)],[13782, 13777])).
% 14.91/10.17 tff(13784,plain,
% 14.91/10.17 ((~(v101(constB146) <=> (~((~v1(constB146)) | (~v102(constB146)))))) | v101(constB146) | ((~v1(constB146)) | (~v102(constB146)))),
% 14.91/10.17 inference(tautology,[status(thm)],[])).
% 14.91/10.17 tff(13785,plain,
% 14.91/10.17 (v101(constB146)),
% 14.91/10.17 inference(unit_resolution,[status(thm)],[13784, 13783, 13761])).
% 14.91/10.17 tff(13786,plain,
% 14.91/10.17 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | ((~nextState(constB145, constB146)) | (v110(constB146) <=> v108(constB145)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | (~nextState(constB145, constB146)) | (v110(constB146) <=> v108(constB145)))),
% 14.91/10.17 inference(rewrite,[status(thm)],[])).
% 14.91/10.17 tff(13787,plain,
% 14.91/10.17 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | ((~nextState(constB145, constB146)) | (v110(constB146) <=> v108(constB145)))),
% 14.91/10.17 inference(quant_inst,[status(thm)],[])).
% 14.91/10.17 tff(13788,plain,
% 14.91/10.17 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | (~nextState(constB145, constB146)) | (v110(constB146) <=> v108(constB145))),
% 14.91/10.17 inference(modus_ponens,[status(thm)],[13787, 13786])).
% 14.91/10.17 tff(13789,plain,
% 14.91/10.17 (v110(constB146) <=> v108(constB145)),
% 14.91/10.17 inference(unit_resolution,[status(thm)],[13788, 13750, 556])).
% 14.91/10.17 tff(13790,plain,
% 14.91/10.17 ((~![VarCurr: $i] : (v108(VarCurr) <=> (v111(VarCurr) | v112(VarCurr)))) | (v108(constB145) <=> (v111(constB145) | v112(constB145)))),
% 14.91/10.17 inference(quant_inst,[status(thm)],[])).
% 14.91/10.17 tff(13791,plain,
% 14.91/10.17 (v108(constB145) <=> (v111(constB145) | v112(constB145))),
% 14.91/10.17 inference(unit_resolution,[status(thm)],[13790, 567])).
% 14.91/10.17 tff(13792,plain,
% 14.91/10.17 ((~![VarCurr: $i] : (v112(VarCurr) <=> (~((~v113(VarCurr)) | (~v126(VarCurr)))))) | (v112(constB145) <=> (~((~v113(constB145)) | (~v126(constB145)))))),
% 14.91/10.17 inference(quant_inst,[status(thm)],[])).
% 14.91/10.17 tff(13793,plain,
% 14.91/10.17 (v112(constB145) <=> (~((~v113(constB145)) | (~v126(constB145))))),
% 14.91/10.17 inference(unit_resolution,[status(thm)],[13792, 579])).
% 14.91/10.17 tff(13794,plain,
% 14.91/10.17 ((~![VarCurr: $i] : (v113(VarCurr) <=> (v114(VarCurr) | v125(VarCurr)))) | (v113(constB145) <=> (v114(constB145) | v125(constB145)))),
% 14.91/10.17 inference(quant_inst,[status(thm)],[])).
% 14.91/10.17 tff(13795,plain,
% 14.91/10.17 (v113(constB145) <=> (v114(constB145) | v125(constB145))),
% 14.91/10.17 inference(unit_resolution,[status(thm)],[13794, 588])).
% 14.91/10.17 tff(13796,plain,
% 14.91/10.17 (((~![VarCurr: $i] : (v125(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2)))))) | (v125(constB145) <=> (~((~v90(constB145, bitIndex2)) | (~v90(constB145, bitIndex1)) | v90(constB145, bitIndex0))))) <=> ((~![VarCurr: $i] : (v125(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2)))))) | (v125(constB145) <=> (~((~v90(constB145, bitIndex2)) | (~v90(constB145, bitIndex1)) | v90(constB145, bitIndex0)))))),
% 14.91/10.17 inference(rewrite,[status(thm)],[])).
% 14.91/10.17 tff(13797,plain,
% 14.91/10.17 ((v125(constB145) <=> (~(v90(constB145, bitIndex0) | (~v90(constB145, bitIndex1)) | (~v90(constB145, bitIndex2))))) <=> (v125(constB145) <=> (~((~v90(constB145, bitIndex2)) | (~v90(constB145, bitIndex1)) | v90(constB145, bitIndex0))))),
% 14.91/10.17 inference(rewrite,[status(thm)],[])).
% 14.91/10.17 tff(13798,plain,
% 14.91/10.17 (((~![VarCurr: $i] : (v125(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2)))))) | (v125(constB145) <=> (~(v90(constB145, bitIndex0) | (~v90(constB145, bitIndex1)) | (~v90(constB145, bitIndex2)))))) <=> ((~![VarCurr: $i] : (v125(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2)))))) | (v125(constB145) <=> (~((~v90(constB145, bitIndex2)) | (~v90(constB145, bitIndex1)) | v90(constB145, bitIndex0)))))),
% 14.91/10.17 inference(monotonicity,[status(thm)],[13797])).
% 14.91/10.17 tff(13799,plain,
% 14.91/10.17 (((~![VarCurr: $i] : (v125(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2)))))) | (v125(constB145) <=> (~(v90(constB145, bitIndex0) | (~v90(constB145, bitIndex1)) | (~v90(constB145, bitIndex2)))))) <=> ((~![VarCurr: $i] : (v125(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2)))))) | (v125(constB145) <=> (~((~v90(constB145, bitIndex2)) | (~v90(constB145, bitIndex1)) | v90(constB145, bitIndex0)))))),
% 14.91/10.17 inference(transitivity,[status(thm)],[13798, 13796])).
% 14.91/10.17 tff(13800,plain,
% 14.91/10.17 ((~![VarCurr: $i] : (v125(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2)))))) | (v125(constB145) <=> (~(v90(constB145, bitIndex0) | (~v90(constB145, bitIndex1)) | (~v90(constB145, bitIndex2)))))),
% 14.91/10.17 inference(quant_inst,[status(thm)],[])).
% 14.91/10.17 tff(13801,plain,
% 14.91/10.17 ((~![VarCurr: $i] : (v125(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2)))))) | (v125(constB145) <=> (~((~v90(constB145, bitIndex2)) | (~v90(constB145, bitIndex1)) | v90(constB145, bitIndex0))))),
% 14.91/10.17 inference(modus_ponens,[status(thm)],[13800, 13799])).
% 14.91/10.17 tff(13802,plain,
% 14.91/10.17 (v125(constB145) <=> (~((~v90(constB145, bitIndex2)) | (~v90(constB145, bitIndex1)) | v90(constB145, bitIndex0)))),
% 14.91/10.17 inference(unit_resolution,[status(thm)],[13801, 1066])).
% 14.91/10.17 tff(13803,plain,
% 14.91/10.17 (nextState(constB144, constB145) <=> nextState(constB144, constB145)),
% 14.91/10.17 inference(rewrite,[status(thm)],[])).
% 14.91/10.17 tff(13804,axiom,(nextState(constB144, constB145)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_144')).
% 14.91/10.17 tff(13805,plain,
% 14.91/10.17 (nextState(constB144, constB145)),
% 14.91/10.17 inference(modus_ponens,[status(thm)],[13804, 13803])).
% 14.91/10.17 tff(13806,plain,
% 14.91/10.17 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB144, constB145)) | (v100(constB145) <=> (~((~v101(constB145)) | (~v110(constB145))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB144, constB145)) | (v100(constB145) <=> (~((~v101(constB145)) | (~v110(constB145))))))),
% 14.91/10.17 inference(rewrite,[status(thm)],[])).
% 14.91/10.17 tff(13807,plain,
% 14.91/10.17 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB144, constB145)) | (v100(constB145) <=> (~((~v101(constB145)) | (~v110(constB145))))))),
% 14.91/10.17 inference(quant_inst,[status(thm)],[])).
% 14.91/10.17 tff(13808,plain,
% 14.91/10.17 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB144, constB145)) | (v100(constB145) <=> (~((~v101(constB145)) | (~v110(constB145)))))),
% 14.91/10.17 inference(modus_ponens,[status(thm)],[13807, 13806])).
% 14.91/10.17 tff(13809,plain,
% 14.91/10.17 (v100(constB145) <=> (~((~v101(constB145)) | (~v110(constB145))))),
% 14.91/10.17 inference(unit_resolution,[status(thm)],[13808, 13805, 430])).
% 14.91/10.17 tff(13810,plain,
% 14.91/10.17 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB144, constB145)) | (v101(constB145) <=> (~((~v1(constB145)) | (~v102(constB145))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB144, constB145)) | (v101(constB145) <=> (~((~v1(constB145)) | (~v102(constB145))))))),
% 14.91/10.17 inference(rewrite,[status(thm)],[])).
% 14.91/10.17 tff(13811,plain,
% 14.91/10.17 (((~nextState(constB144, constB145)) | (v101(constB145) <=> (~((~v102(constB145)) | (~v1(constB145)))))) <=> ((~nextState(constB144, constB145)) | (v101(constB145) <=> (~((~v1(constB145)) | (~v102(constB145))))))),
% 14.91/10.17 inference(rewrite,[status(thm)],[])).
% 14.91/10.17 tff(13812,plain,
% 14.91/10.17 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB144, constB145)) | (v101(constB145) <=> (~((~v102(constB145)) | (~v1(constB145))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB144, constB145)) | (v101(constB145) <=> (~((~v1(constB145)) | (~v102(constB145)))))))),
% 14.91/10.17 inference(monotonicity,[status(thm)],[13811])).
% 14.91/10.17 tff(13813,plain,
% 14.91/10.17 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB144, constB145)) | (v101(constB145) <=> (~((~v102(constB145)) | (~v1(constB145))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB144, constB145)) | (v101(constB145) <=> (~((~v1(constB145)) | (~v102(constB145))))))),
% 14.91/10.17 inference(transitivity,[status(thm)],[13812, 13810])).
% 14.91/10.17 tff(13814,plain,
% 14.91/10.17 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB144, constB145)) | (v101(constB145) <=> (~((~v102(constB145)) | (~v1(constB145))))))),
% 14.91/10.17 inference(quant_inst,[status(thm)],[])).
% 14.91/10.17 tff(13815,plain,
% 14.91/10.17 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB144, constB145)) | (v101(constB145) <=> (~((~v1(constB145)) | (~v102(constB145)))))),
% 14.91/10.17 inference(modus_ponens,[status(thm)],[13814, 13813])).
% 14.91/10.17 tff(13816,plain,
% 14.91/10.17 (v101(constB145) <=> (~((~v1(constB145)) | (~v102(constB145))))),
% 14.91/10.18 inference(unit_resolution,[status(thm)],[13815, 13805, 450])).
% 14.91/10.18 tff(13817,plain,
% 14.91/10.18 (((~v1(constB145)) | (~v102(constB145))) | v1(constB145)),
% 14.91/10.18 inference(tautology,[status(thm)],[])).
% 14.91/10.18 tff(13818,plain,
% 14.91/10.18 ((~v1(constB145)) | (~v102(constB145))),
% 14.91/10.18 inference(unit_resolution,[status(thm)],[13817, 13772])).
% 14.91/10.18 tff(13819,plain,
% 14.91/10.18 ((~(v101(constB145) <=> (~((~v1(constB145)) | (~v102(constB145)))))) | (~v101(constB145)) | (~((~v1(constB145)) | (~v102(constB145))))),
% 14.91/10.18 inference(tautology,[status(thm)],[])).
% 14.91/10.18 tff(13820,plain,
% 14.91/10.18 ((~(v101(constB145) <=> (~((~v1(constB145)) | (~v102(constB145)))))) | (~v101(constB145))),
% 14.91/10.18 inference(unit_resolution,[status(thm)],[13819, 13818])).
% 14.91/10.18 tff(13821,plain,
% 14.91/10.18 (~v101(constB145)),
% 14.91/10.18 inference(unit_resolution,[status(thm)],[13820, 13816])).
% 14.91/10.18 tff(13822,plain,
% 14.91/10.18 (((~v101(constB145)) | (~v110(constB145))) | v101(constB145)),
% 14.91/10.18 inference(tautology,[status(thm)],[])).
% 14.91/10.18 tff(13823,plain,
% 14.91/10.18 ((~v101(constB145)) | (~v110(constB145))),
% 14.91/10.18 inference(unit_resolution,[status(thm)],[13822, 13821])).
% 14.91/10.18 tff(13824,plain,
% 14.91/10.18 ((~(v100(constB145) <=> (~((~v101(constB145)) | (~v110(constB145)))))) | (~v100(constB145)) | (~((~v101(constB145)) | (~v110(constB145))))),
% 14.91/10.18 inference(tautology,[status(thm)],[])).
% 14.91/10.18 tff(13825,plain,
% 14.91/10.18 (~v100(constB145)),
% 14.91/10.18 inference(unit_resolution,[status(thm)],[13824, 13823, 13809])).
% 14.91/10.18 tff(13826,plain,
% 14.91/10.18 (((~![VarCurr: $i, VarNext: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v90(VarCurr, B))))) | (v100(constB145) | (~nextState(constB144, constB145)) | ![B: $i] : ((~less_3(B)) | (v90(constB145, B) <=> v90(constB144, B))))) <=> ((~![VarCurr: $i, VarNext: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v90(VarCurr, B))))) | v100(constB145) | (~nextState(constB144, constB145)) | ![B: $i] : ((~less_3(B)) | (v90(constB145, B) <=> v90(constB144, B))))),
% 14.91/10.18 inference(rewrite,[status(thm)],[])).
% 14.91/10.18 tff(13827,plain,
% 14.91/10.18 ((~![VarCurr: $i, VarNext: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v90(VarCurr, B))))) | (v100(constB145) | (~nextState(constB144, constB145)) | ![B: $i] : ((~less_3(B)) | (v90(constB145, B) <=> v90(constB144, B))))),
% 14.91/10.18 inference(quant_inst,[status(thm)],[])).
% 14.91/10.18 tff(13828,plain,
% 14.91/10.18 ((~![VarCurr: $i, VarNext: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v90(VarCurr, B))))) | v100(constB145) | (~nextState(constB144, constB145)) | ![B: $i] : ((~less_3(B)) | (v90(constB145, B) <=> v90(constB144, B)))),
% 14.91/10.18 inference(modus_ponens,[status(thm)],[13827, 13826])).
% 14.91/10.18 tff(13829,plain,
% 14.91/10.18 (v100(constB145) | ![B: $i] : ((~less_3(B)) | (v90(constB145, B) <=> v90(constB144, B)))),
% 14.91/10.18 inference(unit_resolution,[status(thm)],[13828, 13805, 479])).
% 14.91/10.18 tff(13830,plain,
% 14.91/10.18 (![B: $i] : ((~less_3(B)) | (v90(constB145, B) <=> v90(constB144, B)))),
% 14.91/10.18 inference(unit_resolution,[status(thm)],[13829, 13825])).
% 14.91/10.18 tff(13831,plain,
% 14.91/10.18 (((~![B: $i] : ((~less_3(B)) | (v90(constB145, B) <=> v90(constB144, B)))) | ((~less_3(bitIndex2)) | (v90(constB145, bitIndex2) <=> v90(constB144, bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v90(constB145, B) <=> v90(constB144, B)))) | (~less_3(bitIndex2)) | (v90(constB145, bitIndex2) <=> v90(constB144, bitIndex2)))),
% 14.91/10.18 inference(rewrite,[status(thm)],[])).
% 14.91/10.18 tff(13832,plain,
% 14.91/10.18 ((~![B: $i] : ((~less_3(B)) | (v90(constB145, B) <=> v90(constB144, B)))) | ((~less_3(bitIndex2)) | (v90(constB145, bitIndex2) <=> v90(constB144, bitIndex2)))),
% 14.91/10.18 inference(quant_inst,[status(thm)],[])).
% 14.91/10.18 tff(13833,plain,
% 14.91/10.18 ((~![B: $i] : ((~less_3(B)) | (v90(constB145, B) <=> v90(constB144, B)))) | (~less_3(bitIndex2)) | (v90(constB145, bitIndex2) <=> v90(constB144, bitIndex2))),
% 14.91/10.18 inference(modus_ponens,[status(thm)],[13832, 13831])).
% 14.91/10.18 tff(13834,plain,
% 14.91/10.18 (v90(constB145, bitIndex2) <=> v90(constB144, bitIndex2)),
% 14.91/10.18 inference(unit_resolution,[status(thm)],[13833, 413, 13830])).
% 14.91/10.18 tff(13835,plain,
% 14.91/10.18 (nextState(constB143, constB144) <=> nextState(constB143, constB144)),
% 14.91/10.18 inference(rewrite,[status(thm)],[])).
% 14.91/10.18 tff(13836,axiom,(nextState(constB143, constB144)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_143')).
% 14.91/10.18 tff(13837,plain,
% 14.91/10.18 (nextState(constB143, constB144)),
% 14.91/10.18 inference(modus_ponens,[status(thm)],[13836, 13835])).
% 14.91/10.18 tff(13838,plain,
% 14.91/10.18 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB143, constB144)) | (v100(constB144) <=> (~((~v101(constB144)) | (~v110(constB144))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB143, constB144)) | (v100(constB144) <=> (~((~v101(constB144)) | (~v110(constB144))))))),
% 14.91/10.18 inference(rewrite,[status(thm)],[])).
% 14.91/10.18 tff(13839,plain,
% 14.91/10.18 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB143, constB144)) | (v100(constB144) <=> (~((~v101(constB144)) | (~v110(constB144))))))),
% 14.91/10.18 inference(quant_inst,[status(thm)],[])).
% 14.91/10.18 tff(13840,plain,
% 14.91/10.18 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB143, constB144)) | (v100(constB144) <=> (~((~v101(constB144)) | (~v110(constB144)))))),
% 14.91/10.18 inference(modus_ponens,[status(thm)],[13839, 13838])).
% 14.91/10.18 tff(13841,plain,
% 14.91/10.18 (v100(constB144) <=> (~((~v101(constB144)) | (~v110(constB144))))),
% 14.91/10.18 inference(unit_resolution,[status(thm)],[13840, 13837, 430])).
% 14.91/10.18 tff(13842,plain,
% 14.91/10.18 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB143, constB144)) | (v101(constB144) <=> (~((~v1(constB144)) | (~v102(constB144))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB143, constB144)) | (v101(constB144) <=> (~((~v1(constB144)) | (~v102(constB144))))))),
% 14.91/10.18 inference(rewrite,[status(thm)],[])).
% 14.91/10.18 tff(13843,plain,
% 14.91/10.18 (((~nextState(constB143, constB144)) | (v101(constB144) <=> (~((~v102(constB144)) | (~v1(constB144)))))) <=> ((~nextState(constB143, constB144)) | (v101(constB144) <=> (~((~v1(constB144)) | (~v102(constB144))))))),
% 14.91/10.18 inference(rewrite,[status(thm)],[])).
% 14.91/10.18 tff(13844,plain,
% 14.91/10.18 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB143, constB144)) | (v101(constB144) <=> (~((~v102(constB144)) | (~v1(constB144))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB143, constB144)) | (v101(constB144) <=> (~((~v1(constB144)) | (~v102(constB144)))))))),
% 14.91/10.18 inference(monotonicity,[status(thm)],[13843])).
% 14.91/10.18 tff(13845,plain,
% 14.91/10.18 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB143, constB144)) | (v101(constB144) <=> (~((~v102(constB144)) | (~v1(constB144))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB143, constB144)) | (v101(constB144) <=> (~((~v1(constB144)) | (~v102(constB144))))))),
% 14.91/10.18 inference(transitivity,[status(thm)],[13844, 13842])).
% 14.91/10.18 tff(13846,plain,
% 14.91/10.18 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB143, constB144)) | (v101(constB144) <=> (~((~v102(constB144)) | (~v1(constB144))))))),
% 14.91/10.18 inference(quant_inst,[status(thm)],[])).
% 14.91/10.18 tff(13847,plain,
% 14.91/10.18 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB143, constB144)) | (v101(constB144) <=> (~((~v1(constB144)) | (~v102(constB144)))))),
% 14.91/10.18 inference(modus_ponens,[status(thm)],[13846, 13845])).
% 14.91/10.18 tff(13848,plain,
% 14.91/10.18 (v101(constB144) <=> (~((~v1(constB144)) | (~v102(constB144))))),
% 14.91/10.18 inference(unit_resolution,[status(thm)],[13847, 13837, 450])).
% 14.91/10.18 tff(13849,plain,
% 14.91/10.18 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | ((~nextState(constB143, constB144)) | ((~v102(constB144)) <=> v104(constB144)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | (~nextState(constB143, constB144)) | ((~v102(constB144)) <=> v104(constB144)))),
% 14.91/10.18 inference(rewrite,[status(thm)],[])).
% 14.91/10.18 tff(13850,plain,
% 14.91/10.18 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | ((~nextState(constB143, constB144)) | ((~v102(constB144)) <=> v104(constB144)))),
% 14.91/10.18 inference(quant_inst,[status(thm)],[])).
% 14.91/10.18 tff(13851,plain,
% 14.91/10.18 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | (~nextState(constB143, constB144)) | ((~v102(constB144)) <=> v104(constB144))),
% 14.91/10.18 inference(modus_ponens,[status(thm)],[13850, 13849])).
% 14.91/10.18 tff(13852,plain,
% 14.91/10.18 ((~v102(constB144)) <=> v104(constB144)),
% 14.91/10.18 inference(unit_resolution,[status(thm)],[13851, 13837, 512])).
% 14.91/10.18 tff(13853,plain,
% 14.91/10.18 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB143, constB144)) | (v104(constB144) <=> v1(constB143)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | (~nextState(constB143, constB144)) | (v104(constB144) <=> v1(constB143)))),
% 14.91/10.18 inference(rewrite,[status(thm)],[])).
% 14.91/10.18 tff(13854,plain,
% 14.91/10.18 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB143, constB144)) | (v104(constB144) <=> v1(constB143)))),
% 14.91/10.18 inference(quant_inst,[status(thm)],[])).
% 14.91/10.18 tff(13855,plain,
% 14.91/10.18 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | (~nextState(constB143, constB144)) | (v104(constB144) <=> v1(constB143))),
% 14.91/10.18 inference(modus_ponens,[status(thm)],[13854, 13853])).
% 14.91/10.18 tff(13856,plain,
% 14.91/10.18 (v104(constB144) <=> v1(constB143)),
% 14.91/10.18 inference(unit_resolution,[status(thm)],[13855, 13837, 526])).
% 14.91/10.18 tff(13857,plain,
% 14.91/10.18 ((~v1(constB143)) <=> (~v1(constB143))),
% 14.91/10.18 inference(rewrite,[status(thm)],[])).
% 14.91/10.18 tff(13858,axiom,(~v1(constB143)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_143')).
% 14.91/10.18 tff(13859,plain,
% 14.91/10.18 (~v1(constB143)),
% 14.91/10.18 inference(modus_ponens,[status(thm)],[13858, 13857])).
% 14.91/10.18 tff(13860,plain,
% 14.91/10.18 ((~(v104(constB144) <=> v1(constB143))) | (~v104(constB144)) | v1(constB143)),
% 14.91/10.18 inference(tautology,[status(thm)],[])).
% 14.91/10.18 tff(13861,plain,
% 14.91/10.18 ((~(v104(constB144) <=> v1(constB143))) | (~v104(constB144))),
% 14.91/10.18 inference(unit_resolution,[status(thm)],[13860, 13859])).
% 14.91/10.18 tff(13862,plain,
% 14.91/10.18 (~v104(constB144)),
% 14.91/10.18 inference(unit_resolution,[status(thm)],[13861, 13856])).
% 14.91/10.18 tff(13863,plain,
% 14.91/10.18 ((~((~v102(constB144)) <=> v104(constB144))) | v102(constB144) | v104(constB144)),
% 14.91/10.18 inference(tautology,[status(thm)],[])).
% 14.91/10.18 tff(13864,plain,
% 14.91/10.18 (v102(constB144)),
% 14.91/10.18 inference(unit_resolution,[status(thm)],[13863, 13862, 13852])).
% 14.91/10.18 tff(13865,plain,
% 14.91/10.18 (v1(constB144) <=> v1(constB144)),
% 14.91/10.18 inference(rewrite,[status(thm)],[])).
% 14.91/10.18 tff(13866,axiom,(v1(constB144)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_144')).
% 14.91/10.18 tff(13867,plain,
% 14.91/10.18 (v1(constB144)),
% 14.91/10.18 inference(modus_ponens,[status(thm)],[13866, 13865])).
% 14.91/10.18 tff(13868,plain,
% 14.91/10.18 ((~((~v1(constB144)) | (~v102(constB144)))) | (~v1(constB144)) | (~v102(constB144))),
% 14.91/10.18 inference(tautology,[status(thm)],[])).
% 14.91/10.18 tff(13869,plain,
% 14.91/10.18 ((~((~v1(constB144)) | (~v102(constB144)))) | (~v102(constB144))),
% 14.91/10.18 inference(unit_resolution,[status(thm)],[13868, 13867])).
% 14.91/10.18 tff(13870,plain,
% 14.91/10.18 (~((~v1(constB144)) | (~v102(constB144)))),
% 14.91/10.18 inference(unit_resolution,[status(thm)],[13869, 13864])).
% 14.91/10.18 tff(13871,plain,
% 14.91/10.18 ((~(v101(constB144) <=> (~((~v1(constB144)) | (~v102(constB144)))))) | v101(constB144) | ((~v1(constB144)) | (~v102(constB144)))),
% 14.91/10.18 inference(tautology,[status(thm)],[])).
% 14.91/10.18 tff(13872,plain,
% 14.91/10.18 (v101(constB144)),
% 14.91/10.18 inference(unit_resolution,[status(thm)],[13871, 13870, 13848])).
% 14.91/10.18 tff(13873,plain,
% 14.91/10.18 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | ((~nextState(constB143, constB144)) | (v110(constB144) <=> v108(constB143)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | (~nextState(constB143, constB144)) | (v110(constB144) <=> v108(constB143)))),
% 14.91/10.18 inference(rewrite,[status(thm)],[])).
% 14.91/10.18 tff(13874,plain,
% 14.91/10.18 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | ((~nextState(constB143, constB144)) | (v110(constB144) <=> v108(constB143)))),
% 14.91/10.18 inference(quant_inst,[status(thm)],[])).
% 14.91/10.18 tff(13875,plain,
% 14.91/10.18 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | (~nextState(constB143, constB144)) | (v110(constB144) <=> v108(constB143))),
% 14.91/10.18 inference(modus_ponens,[status(thm)],[13874, 13873])).
% 14.91/10.18 tff(13876,plain,
% 14.91/10.18 (v110(constB144) <=> v108(constB143)),
% 14.91/10.18 inference(unit_resolution,[status(thm)],[13875, 13837, 556])).
% 14.91/10.18 tff(13877,plain,
% 14.91/10.18 ((~![VarCurr: $i] : (v108(VarCurr) <=> (v111(VarCurr) | v112(VarCurr)))) | (v108(constB143) <=> (v111(constB143) | v112(constB143)))),
% 14.91/10.18 inference(quant_inst,[status(thm)],[])).
% 14.91/10.18 tff(13878,plain,
% 14.91/10.18 (v108(constB143) <=> (v111(constB143) | v112(constB143))),
% 14.91/10.18 inference(unit_resolution,[status(thm)],[13877, 567])).
% 14.91/10.18 tff(13879,plain,
% 14.91/10.18 ((~![VarCurr: $i] : (v112(VarCurr) <=> (~((~v113(VarCurr)) | (~v126(VarCurr)))))) | (v112(constB143) <=> (~((~v113(constB143)) | (~v126(constB143)))))),
% 14.91/10.18 inference(quant_inst,[status(thm)],[])).
% 14.91/10.18 tff(13880,plain,
% 14.91/10.18 (v112(constB143) <=> (~((~v113(constB143)) | (~v126(constB143))))),
% 14.91/10.18 inference(unit_resolution,[status(thm)],[13879, 579])).
% 14.91/10.18 tff(13881,plain,
% 14.91/10.18 ((~![VarCurr: $i] : (v113(VarCurr) <=> (v114(VarCurr) | v125(VarCurr)))) | (v113(constB143) <=> (v114(constB143) | v125(constB143)))),
% 14.91/10.18 inference(quant_inst,[status(thm)],[])).
% 14.91/10.18 tff(13882,plain,
% 14.91/10.18 (v113(constB143) <=> (v114(constB143) | v125(constB143))),
% 14.91/10.18 inference(unit_resolution,[status(thm)],[13881, 588])).
% 14.91/10.18 tff(13883,plain,
% 14.91/10.18 ((~![VarCurr: $i] : (v114(VarCurr) <=> (v115(VarCurr) | v124(VarCurr)))) | (v114(constB143) <=> (v115(constB143) | v124(constB143)))),
% 14.91/10.18 inference(quant_inst,[status(thm)],[])).
% 14.91/10.18 tff(13884,plain,
% 14.91/10.18 (v114(constB143) <=> (v115(constB143) | v124(constB143))),
% 14.91/10.18 inference(unit_resolution,[status(thm)],[13883, 597])).
% 14.91/10.18 tff(13885,plain,
% 14.91/10.18 ((~![VarCurr: $i] : (v115(VarCurr) <=> (v116(VarCurr) | v123(VarCurr)))) | (v115(constB143) <=> (v116(constB143) | v123(constB143)))),
% 14.91/10.18 inference(quant_inst,[status(thm)],[])).
% 14.91/10.18 tff(13886,plain,
% 14.91/10.18 (v115(constB143) <=> (v116(constB143) | v123(constB143))),
% 14.91/10.18 inference(unit_resolution,[status(thm)],[13885, 606])).
% 14.91/10.18 tff(13887,plain,
% 14.91/10.18 (((~![VarCurr: $i] : (v123(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)))))) | (v123(constB143) <=> (~((~v90(constB143, bitIndex2)) | v90(constB143, bitIndex1) | v90(constB143, bitIndex0))))) <=> ((~![VarCurr: $i] : (v123(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)))))) | (v123(constB143) <=> (~((~v90(constB143, bitIndex2)) | v90(constB143, bitIndex1) | v90(constB143, bitIndex0)))))),
% 14.91/10.18 inference(rewrite,[status(thm)],[])).
% 14.91/10.18 tff(13888,plain,
% 14.91/10.18 ((v123(constB143) <=> (~(v90(constB143, bitIndex0) | v90(constB143, bitIndex1) | (~v90(constB143, bitIndex2))))) <=> (v123(constB143) <=> (~((~v90(constB143, bitIndex2)) | v90(constB143, bitIndex1) | v90(constB143, bitIndex0))))),
% 14.91/10.18 inference(rewrite,[status(thm)],[])).
% 14.91/10.18 tff(13889,plain,
% 14.91/10.18 (((~![VarCurr: $i] : (v123(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)))))) | (v123(constB143) <=> (~(v90(constB143, bitIndex0) | v90(constB143, bitIndex1) | (~v90(constB143, bitIndex2)))))) <=> ((~![VarCurr: $i] : (v123(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)))))) | (v123(constB143) <=> (~((~v90(constB143, bitIndex2)) | v90(constB143, bitIndex1) | v90(constB143, bitIndex0)))))),
% 14.91/10.19 inference(monotonicity,[status(thm)],[13888])).
% 14.91/10.19 tff(13890,plain,
% 14.91/10.19 (((~![VarCurr: $i] : (v123(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)))))) | (v123(constB143) <=> (~(v90(constB143, bitIndex0) | v90(constB143, bitIndex1) | (~v90(constB143, bitIndex2)))))) <=> ((~![VarCurr: $i] : (v123(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)))))) | (v123(constB143) <=> (~((~v90(constB143, bitIndex2)) | v90(constB143, bitIndex1) | v90(constB143, bitIndex0)))))),
% 14.91/10.19 inference(transitivity,[status(thm)],[13889, 13887])).
% 14.91/10.19 tff(13891,plain,
% 14.91/10.19 ((~![VarCurr: $i] : (v123(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)))))) | (v123(constB143) <=> (~(v90(constB143, bitIndex0) | v90(constB143, bitIndex1) | (~v90(constB143, bitIndex2)))))),
% 14.91/10.19 inference(quant_inst,[status(thm)],[])).
% 14.91/10.19 tff(13892,plain,
% 14.91/10.19 ((~![VarCurr: $i] : (v123(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)))))) | (v123(constB143) <=> (~((~v90(constB143, bitIndex2)) | v90(constB143, bitIndex1) | v90(constB143, bitIndex0))))),
% 14.91/10.19 inference(modus_ponens,[status(thm)],[13891, 13890])).
% 14.91/10.19 tff(13893,plain,
% 14.91/10.19 (v123(constB143) <=> (~((~v90(constB143, bitIndex2)) | v90(constB143, bitIndex1) | v90(constB143, bitIndex0)))),
% 14.91/10.19 inference(unit_resolution,[status(thm)],[13892, 621])).
% 14.91/10.19 tff(13894,plain,
% 14.91/10.19 (nextState(constB142, constB143) <=> nextState(constB142, constB143)),
% 14.91/10.19 inference(rewrite,[status(thm)],[])).
% 14.91/10.19 tff(13895,axiom,(nextState(constB142, constB143)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_142')).
% 14.91/10.19 tff(13896,plain,
% 14.91/10.19 (nextState(constB142, constB143)),
% 14.91/10.19 inference(modus_ponens,[status(thm)],[13895, 13894])).
% 14.91/10.19 tff(13897,plain,
% 14.91/10.19 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB142, constB143)) | (v100(constB143) <=> (~((~v101(constB143)) | (~v110(constB143))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB142, constB143)) | (v100(constB143) <=> (~((~v101(constB143)) | (~v110(constB143))))))),
% 14.91/10.19 inference(rewrite,[status(thm)],[])).
% 14.91/10.19 tff(13898,plain,
% 14.91/10.19 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB142, constB143)) | (v100(constB143) <=> (~((~v101(constB143)) | (~v110(constB143))))))),
% 14.91/10.19 inference(quant_inst,[status(thm)],[])).
% 14.91/10.19 tff(13899,plain,
% 14.91/10.19 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB142, constB143)) | (v100(constB143) <=> (~((~v101(constB143)) | (~v110(constB143)))))),
% 14.91/10.19 inference(modus_ponens,[status(thm)],[13898, 13897])).
% 14.91/10.19 tff(13900,plain,
% 14.91/10.19 (v100(constB143) <=> (~((~v101(constB143)) | (~v110(constB143))))),
% 14.91/10.19 inference(unit_resolution,[status(thm)],[13899, 13896, 430])).
% 14.91/10.19 tff(13901,plain,
% 14.91/10.19 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB142, constB143)) | (v101(constB143) <=> (~((~v1(constB143)) | (~v102(constB143))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB142, constB143)) | (v101(constB143) <=> (~((~v1(constB143)) | (~v102(constB143))))))),
% 14.91/10.19 inference(rewrite,[status(thm)],[])).
% 14.91/10.19 tff(13902,plain,
% 14.91/10.19 (((~nextState(constB142, constB143)) | (v101(constB143) <=> (~((~v102(constB143)) | (~v1(constB143)))))) <=> ((~nextState(constB142, constB143)) | (v101(constB143) <=> (~((~v1(constB143)) | (~v102(constB143))))))),
% 14.91/10.19 inference(rewrite,[status(thm)],[])).
% 14.91/10.19 tff(13903,plain,
% 14.91/10.19 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB142, constB143)) | (v101(constB143) <=> (~((~v102(constB143)) | (~v1(constB143))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB142, constB143)) | (v101(constB143) <=> (~((~v1(constB143)) | (~v102(constB143)))))))),
% 14.91/10.19 inference(monotonicity,[status(thm)],[13902])).
% 14.91/10.19 tff(13904,plain,
% 14.91/10.19 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB142, constB143)) | (v101(constB143) <=> (~((~v102(constB143)) | (~v1(constB143))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB142, constB143)) | (v101(constB143) <=> (~((~v1(constB143)) | (~v102(constB143))))))),
% 14.91/10.19 inference(transitivity,[status(thm)],[13903, 13901])).
% 14.91/10.19 tff(13905,plain,
% 14.91/10.19 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB142, constB143)) | (v101(constB143) <=> (~((~v102(constB143)) | (~v1(constB143))))))),
% 14.91/10.19 inference(quant_inst,[status(thm)],[])).
% 14.91/10.19 tff(13906,plain,
% 14.91/10.19 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB142, constB143)) | (v101(constB143) <=> (~((~v1(constB143)) | (~v102(constB143)))))),
% 14.91/10.19 inference(modus_ponens,[status(thm)],[13905, 13904])).
% 14.91/10.19 tff(13907,plain,
% 14.91/10.19 (v101(constB143) <=> (~((~v1(constB143)) | (~v102(constB143))))),
% 14.91/10.19 inference(unit_resolution,[status(thm)],[13906, 13896, 450])).
% 14.91/10.19 tff(13908,plain,
% 14.91/10.19 (((~v1(constB143)) | (~v102(constB143))) | v1(constB143)),
% 14.91/10.19 inference(tautology,[status(thm)],[])).
% 14.91/10.19 tff(13909,plain,
% 14.91/10.19 ((~v1(constB143)) | (~v102(constB143))),
% 14.91/10.19 inference(unit_resolution,[status(thm)],[13908, 13859])).
% 14.91/10.19 tff(13910,plain,
% 14.91/10.19 ((~(v101(constB143) <=> (~((~v1(constB143)) | (~v102(constB143)))))) | (~v101(constB143)) | (~((~v1(constB143)) | (~v102(constB143))))),
% 14.91/10.19 inference(tautology,[status(thm)],[])).
% 14.91/10.19 tff(13911,plain,
% 14.91/10.19 ((~(v101(constB143) <=> (~((~v1(constB143)) | (~v102(constB143)))))) | (~v101(constB143))),
% 14.91/10.19 inference(unit_resolution,[status(thm)],[13910, 13909])).
% 14.91/10.19 tff(13912,plain,
% 14.91/10.19 (~v101(constB143)),
% 14.91/10.19 inference(unit_resolution,[status(thm)],[13911, 13907])).
% 14.91/10.19 tff(13913,plain,
% 14.91/10.19 (((~v101(constB143)) | (~v110(constB143))) | v101(constB143)),
% 14.91/10.19 inference(tautology,[status(thm)],[])).
% 14.91/10.19 tff(13914,plain,
% 14.91/10.19 ((~v101(constB143)) | (~v110(constB143))),
% 14.91/10.19 inference(unit_resolution,[status(thm)],[13913, 13912])).
% 14.91/10.19 tff(13915,plain,
% 14.91/10.19 ((~(v100(constB143) <=> (~((~v101(constB143)) | (~v110(constB143)))))) | (~v100(constB143)) | (~((~v101(constB143)) | (~v110(constB143))))),
% 14.91/10.19 inference(tautology,[status(thm)],[])).
% 14.91/10.19 tff(13916,plain,
% 14.91/10.19 (~v100(constB143)),
% 14.91/10.19 inference(unit_resolution,[status(thm)],[13915, 13914, 13900])).
% 14.91/10.19 tff(13917,plain,
% 14.91/10.19 (((~![VarCurr: $i, VarNext: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v90(VarCurr, B))))) | (v100(constB143) | (~nextState(constB142, constB143)) | ![B: $i] : ((~less_3(B)) | (v90(constB143, B) <=> v90(constB142, B))))) <=> ((~![VarCurr: $i, VarNext: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v90(VarCurr, B))))) | v100(constB143) | (~nextState(constB142, constB143)) | ![B: $i] : ((~less_3(B)) | (v90(constB143, B) <=> v90(constB142, B))))),
% 14.91/10.19 inference(rewrite,[status(thm)],[])).
% 14.91/10.19 tff(13918,plain,
% 14.91/10.19 ((~![VarCurr: $i, VarNext: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v90(VarCurr, B))))) | (v100(constB143) | (~nextState(constB142, constB143)) | ![B: $i] : ((~less_3(B)) | (v90(constB143, B) <=> v90(constB142, B))))),
% 14.91/10.19 inference(quant_inst,[status(thm)],[])).
% 14.91/10.19 tff(13919,plain,
% 14.91/10.19 ((~![VarCurr: $i, VarNext: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v90(VarCurr, B))))) | v100(constB143) | (~nextState(constB142, constB143)) | ![B: $i] : ((~less_3(B)) | (v90(constB143, B) <=> v90(constB142, B)))),
% 14.91/10.19 inference(modus_ponens,[status(thm)],[13918, 13917])).
% 14.91/10.19 tff(13920,plain,
% 14.91/10.19 (v100(constB143) | ![B: $i] : ((~less_3(B)) | (v90(constB143, B) <=> v90(constB142, B)))),
% 14.91/10.19 inference(unit_resolution,[status(thm)],[13919, 13896, 479])).
% 14.91/10.19 tff(13921,plain,
% 14.91/10.19 (![B: $i] : ((~less_3(B)) | (v90(constB143, B) <=> v90(constB142, B)))),
% 14.91/10.19 inference(unit_resolution,[status(thm)],[13920, 13916])).
% 14.91/10.19 tff(13922,plain,
% 14.91/10.19 (((~![B: $i] : ((~less_3(B)) | (v90(constB143, B) <=> v90(constB142, B)))) | ((~less_3(bitIndex2)) | (v90(constB143, bitIndex2) <=> v90(constB142, bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v90(constB143, B) <=> v90(constB142, B)))) | (~less_3(bitIndex2)) | (v90(constB143, bitIndex2) <=> v90(constB142, bitIndex2)))),
% 14.91/10.19 inference(rewrite,[status(thm)],[])).
% 14.91/10.19 tff(13923,plain,
% 14.91/10.19 ((~![B: $i] : ((~less_3(B)) | (v90(constB143, B) <=> v90(constB142, B)))) | ((~less_3(bitIndex2)) | (v90(constB143, bitIndex2) <=> v90(constB142, bitIndex2)))),
% 14.91/10.19 inference(quant_inst,[status(thm)],[])).
% 14.91/10.19 tff(13924,plain,
% 14.91/10.19 ((~![B: $i] : ((~less_3(B)) | (v90(constB143, B) <=> v90(constB142, B)))) | (~less_3(bitIndex2)) | (v90(constB143, bitIndex2) <=> v90(constB142, bitIndex2))),
% 14.91/10.19 inference(modus_ponens,[status(thm)],[13923, 13922])).
% 14.91/10.19 tff(13925,plain,
% 14.91/10.19 (v90(constB143, bitIndex2) <=> v90(constB142, bitIndex2)),
% 14.91/10.19 inference(unit_resolution,[status(thm)],[13924, 413, 13921])).
% 14.91/10.19 tff(13926,plain,
% 14.91/10.19 (nextState(constB141, constB142) <=> nextState(constB141, constB142)),
% 14.91/10.19 inference(rewrite,[status(thm)],[])).
% 14.91/10.19 tff(13927,axiom,(nextState(constB141, constB142)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_141')).
% 14.91/10.19 tff(13928,plain,
% 14.91/10.19 (nextState(constB141, constB142)),
% 14.91/10.19 inference(modus_ponens,[status(thm)],[13927, 13926])).
% 14.91/10.19 tff(13929,plain,
% 14.91/10.19 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB141, constB142)) | (v100(constB142) <=> (~((~v101(constB142)) | (~v110(constB142))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB141, constB142)) | (v100(constB142) <=> (~((~v101(constB142)) | (~v110(constB142))))))),
% 14.91/10.19 inference(rewrite,[status(thm)],[])).
% 14.91/10.19 tff(13930,plain,
% 14.91/10.19 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB141, constB142)) | (v100(constB142) <=> (~((~v101(constB142)) | (~v110(constB142))))))),
% 14.91/10.19 inference(quant_inst,[status(thm)],[])).
% 14.91/10.19 tff(13931,plain,
% 14.91/10.19 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB141, constB142)) | (v100(constB142) <=> (~((~v101(constB142)) | (~v110(constB142)))))),
% 14.91/10.19 inference(modus_ponens,[status(thm)],[13930, 13929])).
% 14.91/10.19 tff(13932,plain,
% 14.91/10.19 (v100(constB142) <=> (~((~v101(constB142)) | (~v110(constB142))))),
% 14.91/10.19 inference(unit_resolution,[status(thm)],[13931, 13928, 430])).
% 14.91/10.19 tff(13933,plain,
% 14.91/10.19 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB141, constB142)) | (v101(constB142) <=> (~((~v1(constB142)) | (~v102(constB142))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB141, constB142)) | (v101(constB142) <=> (~((~v1(constB142)) | (~v102(constB142))))))),
% 14.91/10.19 inference(rewrite,[status(thm)],[])).
% 14.91/10.19 tff(13934,plain,
% 14.91/10.19 (((~nextState(constB141, constB142)) | (v101(constB142) <=> (~((~v102(constB142)) | (~v1(constB142)))))) <=> ((~nextState(constB141, constB142)) | (v101(constB142) <=> (~((~v1(constB142)) | (~v102(constB142))))))),
% 14.91/10.19 inference(rewrite,[status(thm)],[])).
% 14.91/10.19 tff(13935,plain,
% 14.91/10.19 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB141, constB142)) | (v101(constB142) <=> (~((~v102(constB142)) | (~v1(constB142))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB141, constB142)) | (v101(constB142) <=> (~((~v1(constB142)) | (~v102(constB142)))))))),
% 14.91/10.19 inference(monotonicity,[status(thm)],[13934])).
% 14.91/10.19 tff(13936,plain,
% 14.91/10.19 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB141, constB142)) | (v101(constB142) <=> (~((~v102(constB142)) | (~v1(constB142))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB141, constB142)) | (v101(constB142) <=> (~((~v1(constB142)) | (~v102(constB142))))))),
% 14.91/10.19 inference(transitivity,[status(thm)],[13935, 13933])).
% 14.91/10.19 tff(13937,plain,
% 14.91/10.19 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB141, constB142)) | (v101(constB142) <=> (~((~v102(constB142)) | (~v1(constB142))))))),
% 14.91/10.19 inference(quant_inst,[status(thm)],[])).
% 14.91/10.19 tff(13938,plain,
% 14.91/10.19 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB141, constB142)) | (v101(constB142) <=> (~((~v1(constB142)) | (~v102(constB142)))))),
% 14.91/10.19 inference(modus_ponens,[status(thm)],[13937, 13936])).
% 14.91/10.19 tff(13939,plain,
% 14.91/10.19 (v101(constB142) <=> (~((~v1(constB142)) | (~v102(constB142))))),
% 14.91/10.19 inference(unit_resolution,[status(thm)],[13938, 13928, 450])).
% 14.91/10.19 tff(13940,plain,
% 14.91/10.19 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | ((~nextState(constB141, constB142)) | ((~v102(constB142)) <=> v104(constB142)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | (~nextState(constB141, constB142)) | ((~v102(constB142)) <=> v104(constB142)))),
% 14.91/10.19 inference(rewrite,[status(thm)],[])).
% 14.91/10.19 tff(13941,plain,
% 14.91/10.19 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | ((~nextState(constB141, constB142)) | ((~v102(constB142)) <=> v104(constB142)))),
% 14.91/10.19 inference(quant_inst,[status(thm)],[])).
% 14.91/10.19 tff(13942,plain,
% 14.91/10.19 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | (~nextState(constB141, constB142)) | ((~v102(constB142)) <=> v104(constB142))),
% 14.91/10.19 inference(modus_ponens,[status(thm)],[13941, 13940])).
% 14.91/10.19 tff(13943,plain,
% 14.91/10.19 ((~v102(constB142)) <=> v104(constB142)),
% 14.91/10.19 inference(unit_resolution,[status(thm)],[13942, 13928, 512])).
% 14.91/10.19 tff(13944,plain,
% 14.91/10.19 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB141, constB142)) | (v104(constB142) <=> v1(constB141)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | (~nextState(constB141, constB142)) | (v104(constB142) <=> v1(constB141)))),
% 14.91/10.19 inference(rewrite,[status(thm)],[])).
% 14.91/10.19 tff(13945,plain,
% 14.91/10.19 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB141, constB142)) | (v104(constB142) <=> v1(constB141)))),
% 14.91/10.19 inference(quant_inst,[status(thm)],[])).
% 14.91/10.19 tff(13946,plain,
% 14.99/10.19 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | (~nextState(constB141, constB142)) | (v104(constB142) <=> v1(constB141))),
% 14.99/10.19 inference(modus_ponens,[status(thm)],[13945, 13944])).
% 14.99/10.19 tff(13947,plain,
% 14.99/10.19 (v104(constB142) <=> v1(constB141)),
% 14.99/10.19 inference(unit_resolution,[status(thm)],[13946, 13928, 526])).
% 14.99/10.19 tff(13948,plain,
% 14.99/10.19 ((~v1(constB141)) <=> (~v1(constB141))),
% 14.99/10.19 inference(rewrite,[status(thm)],[])).
% 14.99/10.19 tff(13949,axiom,(~v1(constB141)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_141')).
% 14.99/10.19 tff(13950,plain,
% 14.99/10.19 (~v1(constB141)),
% 14.99/10.19 inference(modus_ponens,[status(thm)],[13949, 13948])).
% 14.99/10.19 tff(13951,plain,
% 14.99/10.19 ((~(v104(constB142) <=> v1(constB141))) | (~v104(constB142)) | v1(constB141)),
% 14.99/10.19 inference(tautology,[status(thm)],[])).
% 14.99/10.19 tff(13952,plain,
% 14.99/10.19 ((~(v104(constB142) <=> v1(constB141))) | (~v104(constB142))),
% 14.99/10.19 inference(unit_resolution,[status(thm)],[13951, 13950])).
% 14.99/10.19 tff(13953,plain,
% 14.99/10.19 (~v104(constB142)),
% 14.99/10.19 inference(unit_resolution,[status(thm)],[13952, 13947])).
% 14.99/10.19 tff(13954,plain,
% 14.99/10.19 ((~((~v102(constB142)) <=> v104(constB142))) | v102(constB142) | v104(constB142)),
% 14.99/10.19 inference(tautology,[status(thm)],[])).
% 14.99/10.19 tff(13955,plain,
% 14.99/10.19 (v102(constB142)),
% 14.99/10.19 inference(unit_resolution,[status(thm)],[13954, 13953, 13943])).
% 14.99/10.19 tff(13956,plain,
% 14.99/10.19 (v1(constB142) <=> v1(constB142)),
% 14.99/10.19 inference(rewrite,[status(thm)],[])).
% 14.99/10.19 tff(13957,axiom,(v1(constB142)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_142')).
% 14.99/10.19 tff(13958,plain,
% 14.99/10.19 (v1(constB142)),
% 14.99/10.19 inference(modus_ponens,[status(thm)],[13957, 13956])).
% 14.99/10.19 tff(13959,plain,
% 14.99/10.19 ((~((~v1(constB142)) | (~v102(constB142)))) | (~v1(constB142)) | (~v102(constB142))),
% 14.99/10.19 inference(tautology,[status(thm)],[])).
% 14.99/10.19 tff(13960,plain,
% 14.99/10.19 ((~((~v1(constB142)) | (~v102(constB142)))) | (~v102(constB142))),
% 14.99/10.19 inference(unit_resolution,[status(thm)],[13959, 13958])).
% 14.99/10.19 tff(13961,plain,
% 14.99/10.19 (~((~v1(constB142)) | (~v102(constB142)))),
% 14.99/10.19 inference(unit_resolution,[status(thm)],[13960, 13955])).
% 14.99/10.19 tff(13962,plain,
% 14.99/10.19 ((~(v101(constB142) <=> (~((~v1(constB142)) | (~v102(constB142)))))) | v101(constB142) | ((~v1(constB142)) | (~v102(constB142)))),
% 14.99/10.19 inference(tautology,[status(thm)],[])).
% 14.99/10.19 tff(13963,plain,
% 14.99/10.19 (v101(constB142)),
% 14.99/10.19 inference(unit_resolution,[status(thm)],[13962, 13961, 13939])).
% 14.99/10.19 tff(13964,plain,
% 14.99/10.19 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | ((~nextState(constB141, constB142)) | (v110(constB142) <=> v108(constB141)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | (~nextState(constB141, constB142)) | (v110(constB142) <=> v108(constB141)))),
% 14.99/10.19 inference(rewrite,[status(thm)],[])).
% 14.99/10.19 tff(13965,plain,
% 14.99/10.19 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | ((~nextState(constB141, constB142)) | (v110(constB142) <=> v108(constB141)))),
% 14.99/10.19 inference(quant_inst,[status(thm)],[])).
% 14.99/10.19 tff(13966,plain,
% 14.99/10.19 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | (~nextState(constB141, constB142)) | (v110(constB142) <=> v108(constB141))),
% 14.99/10.19 inference(modus_ponens,[status(thm)],[13965, 13964])).
% 14.99/10.19 tff(13967,plain,
% 14.99/10.19 (v110(constB142) <=> v108(constB141)),
% 14.99/10.19 inference(unit_resolution,[status(thm)],[13966, 13928, 556])).
% 14.99/10.19 tff(13968,plain,
% 14.99/10.19 ((~![VarCurr: $i] : (v108(VarCurr) <=> (v111(VarCurr) | v112(VarCurr)))) | (v108(constB141) <=> (v111(constB141) | v112(constB141)))),
% 14.99/10.19 inference(quant_inst,[status(thm)],[])).
% 14.99/10.19 tff(13969,plain,
% 14.99/10.19 (v108(constB141) <=> (v111(constB141) | v112(constB141))),
% 14.99/10.19 inference(unit_resolution,[status(thm)],[13968, 567])).
% 14.99/10.19 tff(13970,plain,
% 14.99/10.19 ((~![VarCurr: $i] : (v112(VarCurr) <=> (~((~v113(VarCurr)) | (~v126(VarCurr)))))) | (v112(constB141) <=> (~((~v113(constB141)) | (~v126(constB141)))))),
% 14.99/10.19 inference(quant_inst,[status(thm)],[])).
% 14.99/10.19 tff(13971,plain,
% 14.99/10.19 (v112(constB141) <=> (~((~v113(constB141)) | (~v126(constB141))))),
% 14.99/10.20 inference(unit_resolution,[status(thm)],[13970, 579])).
% 14.99/10.20 tff(13972,plain,
% 14.99/10.20 ((~![VarCurr: $i] : (v113(VarCurr) <=> (v114(VarCurr) | v125(VarCurr)))) | (v113(constB141) <=> (v114(constB141) | v125(constB141)))),
% 14.99/10.20 inference(quant_inst,[status(thm)],[])).
% 14.99/10.20 tff(13973,plain,
% 14.99/10.20 (v113(constB141) <=> (v114(constB141) | v125(constB141))),
% 14.99/10.20 inference(unit_resolution,[status(thm)],[13972, 588])).
% 14.99/10.20 tff(13974,plain,
% 14.99/10.20 ((~![VarCurr: $i] : (v114(VarCurr) <=> (v115(VarCurr) | v124(VarCurr)))) | (v114(constB141) <=> (v115(constB141) | v124(constB141)))),
% 14.99/10.20 inference(quant_inst,[status(thm)],[])).
% 14.99/10.20 tff(13975,plain,
% 14.99/10.20 (v114(constB141) <=> (v115(constB141) | v124(constB141))),
% 14.99/10.20 inference(unit_resolution,[status(thm)],[13974, 597])).
% 14.99/10.20 tff(13976,plain,
% 14.99/10.20 ((~![VarCurr: $i] : (v115(VarCurr) <=> (v116(VarCurr) | v123(VarCurr)))) | (v115(constB141) <=> (v116(constB141) | v123(constB141)))),
% 14.99/10.20 inference(quant_inst,[status(thm)],[])).
% 14.99/10.20 tff(13977,plain,
% 14.99/10.20 (v115(constB141) <=> (v116(constB141) | v123(constB141))),
% 14.99/10.20 inference(unit_resolution,[status(thm)],[13976, 606])).
% 14.99/10.20 tff(13978,plain,
% 14.99/10.20 ((~![VarCurr: $i] : (v116(VarCurr) <=> (v117(VarCurr) | v122(VarCurr)))) | (v116(constB141) <=> (v117(constB141) | v122(constB141)))),
% 14.99/10.20 inference(quant_inst,[status(thm)],[])).
% 14.99/10.20 tff(13979,plain,
% 14.99/10.20 (v116(constB141) <=> (v117(constB141) | v122(constB141))),
% 14.99/10.20 inference(unit_resolution,[status(thm)],[13978, 719])).
% 14.99/10.20 tff(13980,plain,
% 14.99/10.20 (((~![VarCurr: $i] : (v122(VarCurr) <=> (~(v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)))))) | (v122(constB141) <=> (~(v90(constB141, bitIndex2) | (~v90(constB141, bitIndex1)) | (~v90(constB141, bitIndex0)))))) <=> ((~![VarCurr: $i] : (v122(VarCurr) <=> (~(v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)))))) | (v122(constB141) <=> (~(v90(constB141, bitIndex2) | (~v90(constB141, bitIndex1)) | (~v90(constB141, bitIndex0))))))),
% 14.99/10.20 inference(rewrite,[status(thm)],[])).
% 14.99/10.20 tff(13981,plain,
% 14.99/10.20 ((v122(constB141) <=> (~(v90(constB141, bitIndex2) | (~v90(constB141, bitIndex0)) | (~v90(constB141, bitIndex1))))) <=> (v122(constB141) <=> (~(v90(constB141, bitIndex2) | (~v90(constB141, bitIndex1)) | (~v90(constB141, bitIndex0)))))),
% 14.99/10.20 inference(rewrite,[status(thm)],[])).
% 14.99/10.20 tff(13982,plain,
% 14.99/10.20 (((~![VarCurr: $i] : (v122(VarCurr) <=> (~(v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)))))) | (v122(constB141) <=> (~(v90(constB141, bitIndex2) | (~v90(constB141, bitIndex0)) | (~v90(constB141, bitIndex1)))))) <=> ((~![VarCurr: $i] : (v122(VarCurr) <=> (~(v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)))))) | (v122(constB141) <=> (~(v90(constB141, bitIndex2) | (~v90(constB141, bitIndex1)) | (~v90(constB141, bitIndex0))))))),
% 14.99/10.20 inference(monotonicity,[status(thm)],[13981])).
% 14.99/10.20 tff(13983,plain,
% 14.99/10.20 (((~![VarCurr: $i] : (v122(VarCurr) <=> (~(v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)))))) | (v122(constB141) <=> (~(v90(constB141, bitIndex2) | (~v90(constB141, bitIndex0)) | (~v90(constB141, bitIndex1)))))) <=> ((~![VarCurr: $i] : (v122(VarCurr) <=> (~(v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)))))) | (v122(constB141) <=> (~(v90(constB141, bitIndex2) | (~v90(constB141, bitIndex1)) | (~v90(constB141, bitIndex0))))))),
% 14.99/10.20 inference(transitivity,[status(thm)],[13982, 13980])).
% 14.99/10.20 tff(13984,plain,
% 14.99/10.20 ((~![VarCurr: $i] : (v122(VarCurr) <=> (~(v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)))))) | (v122(constB141) <=> (~(v90(constB141, bitIndex2) | (~v90(constB141, bitIndex0)) | (~v90(constB141, bitIndex1)))))),
% 14.99/10.20 inference(quant_inst,[status(thm)],[])).
% 14.99/10.20 tff(13985,plain,
% 14.99/10.20 ((~![VarCurr: $i] : (v122(VarCurr) <=> (~(v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)))))) | (v122(constB141) <=> (~(v90(constB141, bitIndex2) | (~v90(constB141, bitIndex1)) | (~v90(constB141, bitIndex0)))))),
% 14.99/10.20 inference(modus_ponens,[status(thm)],[13984, 13983])).
% 14.99/10.20 tff(13986,plain,
% 14.99/10.20 (v122(constB141) <=> (~(v90(constB141, bitIndex2) | (~v90(constB141, bitIndex1)) | (~v90(constB141, bitIndex0))))),
% 14.99/10.20 inference(unit_resolution,[status(thm)],[13985, 734])).
% 14.99/10.20 tff(13987,plain,
% 14.99/10.20 (nextState(constB140, constB141) <=> nextState(constB140, constB141)),
% 14.99/10.20 inference(rewrite,[status(thm)],[])).
% 14.99/10.20 tff(13988,axiom,(nextState(constB140, constB141)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_140')).
% 14.99/10.20 tff(13989,plain,
% 14.99/10.20 (nextState(constB140, constB141)),
% 14.99/10.20 inference(modus_ponens,[status(thm)],[13988, 13987])).
% 14.99/10.20 tff(13990,plain,
% 14.99/10.20 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB140, constB141)) | (v100(constB141) <=> (~((~v101(constB141)) | (~v110(constB141))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB140, constB141)) | (v100(constB141) <=> (~((~v101(constB141)) | (~v110(constB141))))))),
% 14.99/10.20 inference(rewrite,[status(thm)],[])).
% 14.99/10.20 tff(13991,plain,
% 14.99/10.20 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB140, constB141)) | (v100(constB141) <=> (~((~v101(constB141)) | (~v110(constB141))))))),
% 14.99/10.20 inference(quant_inst,[status(thm)],[])).
% 14.99/10.20 tff(13992,plain,
% 14.99/10.20 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB140, constB141)) | (v100(constB141) <=> (~((~v101(constB141)) | (~v110(constB141)))))),
% 14.99/10.20 inference(modus_ponens,[status(thm)],[13991, 13990])).
% 14.99/10.20 tff(13993,plain,
% 14.99/10.20 (v100(constB141) <=> (~((~v101(constB141)) | (~v110(constB141))))),
% 14.99/10.20 inference(unit_resolution,[status(thm)],[13992, 13989, 430])).
% 14.99/10.20 tff(13994,plain,
% 14.99/10.20 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB140, constB141)) | (v101(constB141) <=> (~((~v1(constB141)) | (~v102(constB141))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB140, constB141)) | (v101(constB141) <=> (~((~v1(constB141)) | (~v102(constB141))))))),
% 14.99/10.20 inference(rewrite,[status(thm)],[])).
% 14.99/10.20 tff(13995,plain,
% 14.99/10.20 (((~nextState(constB140, constB141)) | (v101(constB141) <=> (~((~v102(constB141)) | (~v1(constB141)))))) <=> ((~nextState(constB140, constB141)) | (v101(constB141) <=> (~((~v1(constB141)) | (~v102(constB141))))))),
% 14.99/10.20 inference(rewrite,[status(thm)],[])).
% 14.99/10.20 tff(13996,plain,
% 14.99/10.20 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB140, constB141)) | (v101(constB141) <=> (~((~v102(constB141)) | (~v1(constB141))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB140, constB141)) | (v101(constB141) <=> (~((~v1(constB141)) | (~v102(constB141)))))))),
% 14.99/10.20 inference(monotonicity,[status(thm)],[13995])).
% 14.99/10.20 tff(13997,plain,
% 14.99/10.20 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB140, constB141)) | (v101(constB141) <=> (~((~v102(constB141)) | (~v1(constB141))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB140, constB141)) | (v101(constB141) <=> (~((~v1(constB141)) | (~v102(constB141))))))),
% 14.99/10.20 inference(transitivity,[status(thm)],[13996, 13994])).
% 14.99/10.20 tff(13998,plain,
% 14.99/10.20 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB140, constB141)) | (v101(constB141) <=> (~((~v102(constB141)) | (~v1(constB141))))))),
% 14.99/10.20 inference(quant_inst,[status(thm)],[])).
% 14.99/10.20 tff(13999,plain,
% 14.99/10.20 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB140, constB141)) | (v101(constB141) <=> (~((~v1(constB141)) | (~v102(constB141)))))),
% 14.99/10.20 inference(modus_ponens,[status(thm)],[13998, 13997])).
% 14.99/10.20 tff(14000,plain,
% 14.99/10.20 (v101(constB141) <=> (~((~v1(constB141)) | (~v102(constB141))))),
% 14.99/10.20 inference(unit_resolution,[status(thm)],[13999, 13989, 450])).
% 14.99/10.20 tff(14001,plain,
% 14.99/10.20 (((~v1(constB141)) | (~v102(constB141))) | v1(constB141)),
% 14.99/10.20 inference(tautology,[status(thm)],[])).
% 14.99/10.20 tff(14002,plain,
% 14.99/10.20 ((~v1(constB141)) | (~v102(constB141))),
% 14.99/10.20 inference(unit_resolution,[status(thm)],[14001, 13950])).
% 14.99/10.20 tff(14003,plain,
% 14.99/10.20 ((~(v101(constB141) <=> (~((~v1(constB141)) | (~v102(constB141)))))) | (~v101(constB141)) | (~((~v1(constB141)) | (~v102(constB141))))),
% 14.99/10.20 inference(tautology,[status(thm)],[])).
% 14.99/10.20 tff(14004,plain,
% 14.99/10.20 ((~(v101(constB141) <=> (~((~v1(constB141)) | (~v102(constB141)))))) | (~v101(constB141))),
% 14.99/10.20 inference(unit_resolution,[status(thm)],[14003, 14002])).
% 14.99/10.20 tff(14005,plain,
% 14.99/10.20 (~v101(constB141)),
% 14.99/10.20 inference(unit_resolution,[status(thm)],[14004, 14000])).
% 14.99/10.20 tff(14006,plain,
% 14.99/10.20 (((~v101(constB141)) | (~v110(constB141))) | v101(constB141)),
% 14.99/10.20 inference(tautology,[status(thm)],[])).
% 14.99/10.20 tff(14007,plain,
% 14.99/10.20 ((~v101(constB141)) | (~v110(constB141))),
% 14.99/10.20 inference(unit_resolution,[status(thm)],[14006, 14005])).
% 14.99/10.20 tff(14008,plain,
% 14.99/10.20 ((~(v100(constB141) <=> (~((~v101(constB141)) | (~v110(constB141)))))) | (~v100(constB141)) | (~((~v101(constB141)) | (~v110(constB141))))),
% 14.99/10.20 inference(tautology,[status(thm)],[])).
% 14.99/10.20 tff(14009,plain,
% 14.99/10.20 (~v100(constB141)),
% 14.99/10.20 inference(unit_resolution,[status(thm)],[14008, 14007, 13993])).
% 14.99/10.20 tff(14010,plain,
% 14.99/10.20 (((~![VarCurr: $i, VarNext: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v90(VarCurr, B))))) | (v100(constB141) | (~nextState(constB140, constB141)) | ![B: $i] : ((~less_3(B)) | (v90(constB141, B) <=> v90(constB140, B))))) <=> ((~![VarCurr: $i, VarNext: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v90(VarCurr, B))))) | v100(constB141) | (~nextState(constB140, constB141)) | ![B: $i] : ((~less_3(B)) | (v90(constB141, B) <=> v90(constB140, B))))),
% 14.99/10.20 inference(rewrite,[status(thm)],[])).
% 14.99/10.20 tff(14011,plain,
% 14.99/10.20 ((~![VarCurr: $i, VarNext: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v90(VarCurr, B))))) | (v100(constB141) | (~nextState(constB140, constB141)) | ![B: $i] : ((~less_3(B)) | (v90(constB141, B) <=> v90(constB140, B))))),
% 14.99/10.20 inference(quant_inst,[status(thm)],[])).
% 14.99/10.20 tff(14012,plain,
% 14.99/10.20 ((~![VarCurr: $i, VarNext: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v90(VarCurr, B))))) | v100(constB141) | (~nextState(constB140, constB141)) | ![B: $i] : ((~less_3(B)) | (v90(constB141, B) <=> v90(constB140, B)))),
% 14.99/10.20 inference(modus_ponens,[status(thm)],[14011, 14010])).
% 14.99/10.20 tff(14013,plain,
% 14.99/10.20 (v100(constB141) | ![B: $i] : ((~less_3(B)) | (v90(constB141, B) <=> v90(constB140, B)))),
% 14.99/10.20 inference(unit_resolution,[status(thm)],[14012, 13989, 479])).
% 14.99/10.20 tff(14014,plain,
% 14.99/10.20 (![B: $i] : ((~less_3(B)) | (v90(constB141, B) <=> v90(constB140, B)))),
% 14.99/10.20 inference(unit_resolution,[status(thm)],[14013, 14009])).
% 14.99/10.20 tff(14015,plain,
% 14.99/10.20 (((~![B: $i] : ((~less_3(B)) | (v90(constB141, B) <=> v90(constB140, B)))) | ((~less_3(bitIndex2)) | (v90(constB141, bitIndex2) <=> v90(constB140, bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v90(constB141, B) <=> v90(constB140, B)))) | (~less_3(bitIndex2)) | (v90(constB141, bitIndex2) <=> v90(constB140, bitIndex2)))),
% 14.99/10.20 inference(rewrite,[status(thm)],[])).
% 14.99/10.20 tff(14016,plain,
% 14.99/10.20 ((~![B: $i] : ((~less_3(B)) | (v90(constB141, B) <=> v90(constB140, B)))) | ((~less_3(bitIndex2)) | (v90(constB141, bitIndex2) <=> v90(constB140, bitIndex2)))),
% 14.99/10.20 inference(quant_inst,[status(thm)],[])).
% 14.99/10.20 tff(14017,plain,
% 14.99/10.20 ((~![B: $i] : ((~less_3(B)) | (v90(constB141, B) <=> v90(constB140, B)))) | (~less_3(bitIndex2)) | (v90(constB141, bitIndex2) <=> v90(constB140, bitIndex2))),
% 14.99/10.20 inference(modus_ponens,[status(thm)],[14016, 14015])).
% 14.99/10.20 tff(14018,plain,
% 14.99/10.20 (v90(constB141, bitIndex2) <=> v90(constB140, bitIndex2)),
% 14.99/10.20 inference(unit_resolution,[status(thm)],[14017, 413, 14014])).
% 14.99/10.20 tff(14019,plain,
% 14.99/10.20 (nextState(constB139, constB140) <=> nextState(constB139, constB140)),
% 14.99/10.20 inference(rewrite,[status(thm)],[])).
% 14.99/10.20 tff(14020,axiom,(nextState(constB139, constB140)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_139')).
% 14.99/10.20 tff(14021,plain,
% 14.99/10.20 (nextState(constB139, constB140)),
% 14.99/10.20 inference(modus_ponens,[status(thm)],[14020, 14019])).
% 14.99/10.20 tff(14022,plain,
% 14.99/10.20 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB139, constB140)) | (v100(constB140) <=> (~((~v101(constB140)) | (~v110(constB140))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB139, constB140)) | (v100(constB140) <=> (~((~v101(constB140)) | (~v110(constB140))))))),
% 14.99/10.20 inference(rewrite,[status(thm)],[])).
% 14.99/10.20 tff(14023,plain,
% 14.99/10.20 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB139, constB140)) | (v100(constB140) <=> (~((~v101(constB140)) | (~v110(constB140))))))),
% 14.99/10.20 inference(quant_inst,[status(thm)],[])).
% 14.99/10.20 tff(14024,plain,
% 14.99/10.20 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB139, constB140)) | (v100(constB140) <=> (~((~v101(constB140)) | (~v110(constB140)))))),
% 14.99/10.20 inference(modus_ponens,[status(thm)],[14023, 14022])).
% 14.99/10.20 tff(14025,plain,
% 14.99/10.20 (v100(constB140) <=> (~((~v101(constB140)) | (~v110(constB140))))),
% 14.99/10.20 inference(unit_resolution,[status(thm)],[14024, 14021, 430])).
% 14.99/10.20 tff(14026,plain,
% 14.99/10.20 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB139, constB140)) | (v101(constB140) <=> (~((~v1(constB140)) | (~v102(constB140))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB139, constB140)) | (v101(constB140) <=> (~((~v1(constB140)) | (~v102(constB140))))))),
% 14.99/10.20 inference(rewrite,[status(thm)],[])).
% 14.99/10.20 tff(14027,plain,
% 14.99/10.20 (((~nextState(constB139, constB140)) | (v101(constB140) <=> (~((~v102(constB140)) | (~v1(constB140)))))) <=> ((~nextState(constB139, constB140)) | (v101(constB140) <=> (~((~v1(constB140)) | (~v102(constB140))))))),
% 14.99/10.20 inference(rewrite,[status(thm)],[])).
% 14.99/10.20 tff(14028,plain,
% 14.99/10.20 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB139, constB140)) | (v101(constB140) <=> (~((~v102(constB140)) | (~v1(constB140))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB139, constB140)) | (v101(constB140) <=> (~((~v1(constB140)) | (~v102(constB140)))))))),
% 14.99/10.20 inference(monotonicity,[status(thm)],[14027])).
% 14.99/10.20 tff(14029,plain,
% 14.99/10.20 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB139, constB140)) | (v101(constB140) <=> (~((~v102(constB140)) | (~v1(constB140))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB139, constB140)) | (v101(constB140) <=> (~((~v1(constB140)) | (~v102(constB140))))))),
% 14.99/10.20 inference(transitivity,[status(thm)],[14028, 14026])).
% 14.99/10.20 tff(14030,plain,
% 14.99/10.20 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB139, constB140)) | (v101(constB140) <=> (~((~v102(constB140)) | (~v1(constB140))))))),
% 14.99/10.21 inference(quant_inst,[status(thm)],[])).
% 14.99/10.21 tff(14031,plain,
% 14.99/10.21 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB139, constB140)) | (v101(constB140) <=> (~((~v1(constB140)) | (~v102(constB140)))))),
% 14.99/10.21 inference(modus_ponens,[status(thm)],[14030, 14029])).
% 14.99/10.21 tff(14032,plain,
% 14.99/10.21 (v101(constB140) <=> (~((~v1(constB140)) | (~v102(constB140))))),
% 14.99/10.21 inference(unit_resolution,[status(thm)],[14031, 14021, 450])).
% 14.99/10.21 tff(14033,plain,
% 14.99/10.21 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | ((~nextState(constB139, constB140)) | ((~v102(constB140)) <=> v104(constB140)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | (~nextState(constB139, constB140)) | ((~v102(constB140)) <=> v104(constB140)))),
% 14.99/10.21 inference(rewrite,[status(thm)],[])).
% 14.99/10.21 tff(14034,plain,
% 14.99/10.21 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | ((~nextState(constB139, constB140)) | ((~v102(constB140)) <=> v104(constB140)))),
% 14.99/10.21 inference(quant_inst,[status(thm)],[])).
% 14.99/10.21 tff(14035,plain,
% 14.99/10.21 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | (~nextState(constB139, constB140)) | ((~v102(constB140)) <=> v104(constB140))),
% 14.99/10.21 inference(modus_ponens,[status(thm)],[14034, 14033])).
% 14.99/10.21 tff(14036,plain,
% 14.99/10.21 ((~v102(constB140)) <=> v104(constB140)),
% 14.99/10.21 inference(unit_resolution,[status(thm)],[14035, 14021, 512])).
% 14.99/10.21 tff(14037,plain,
% 14.99/10.21 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB139, constB140)) | (v104(constB140) <=> v1(constB139)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | (~nextState(constB139, constB140)) | (v104(constB140) <=> v1(constB139)))),
% 14.99/10.21 inference(rewrite,[status(thm)],[])).
% 14.99/10.21 tff(14038,plain,
% 14.99/10.21 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB139, constB140)) | (v104(constB140) <=> v1(constB139)))),
% 14.99/10.21 inference(quant_inst,[status(thm)],[])).
% 14.99/10.21 tff(14039,plain,
% 14.99/10.21 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | (~nextState(constB139, constB140)) | (v104(constB140) <=> v1(constB139))),
% 14.99/10.21 inference(modus_ponens,[status(thm)],[14038, 14037])).
% 14.99/10.21 tff(14040,plain,
% 14.99/10.21 (v104(constB140) <=> v1(constB139)),
% 14.99/10.21 inference(unit_resolution,[status(thm)],[14039, 14021, 526])).
% 14.99/10.21 tff(14041,plain,
% 14.99/10.21 ((~v1(constB139)) <=> (~v1(constB139))),
% 14.99/10.21 inference(rewrite,[status(thm)],[])).
% 14.99/10.21 tff(14042,axiom,(~v1(constB139)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_139')).
% 14.99/10.21 tff(14043,plain,
% 14.99/10.21 (~v1(constB139)),
% 14.99/10.21 inference(modus_ponens,[status(thm)],[14042, 14041])).
% 14.99/10.21 tff(14044,plain,
% 14.99/10.21 ((~(v104(constB140) <=> v1(constB139))) | (~v104(constB140)) | v1(constB139)),
% 14.99/10.21 inference(tautology,[status(thm)],[])).
% 14.99/10.21 tff(14045,plain,
% 14.99/10.21 ((~(v104(constB140) <=> v1(constB139))) | (~v104(constB140))),
% 14.99/10.21 inference(unit_resolution,[status(thm)],[14044, 14043])).
% 14.99/10.21 tff(14046,plain,
% 14.99/10.21 (~v104(constB140)),
% 14.99/10.21 inference(unit_resolution,[status(thm)],[14045, 14040])).
% 14.99/10.21 tff(14047,plain,
% 14.99/10.21 ((~((~v102(constB140)) <=> v104(constB140))) | v102(constB140) | v104(constB140)),
% 14.99/10.21 inference(tautology,[status(thm)],[])).
% 14.99/10.21 tff(14048,plain,
% 14.99/10.21 (v102(constB140)),
% 14.99/10.21 inference(unit_resolution,[status(thm)],[14047, 14046, 14036])).
% 14.99/10.21 tff(14049,plain,
% 14.99/10.21 (v1(constB140) <=> v1(constB140)),
% 14.99/10.21 inference(rewrite,[status(thm)],[])).
% 14.99/10.21 tff(14050,axiom,(v1(constB140)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_140')).
% 14.99/10.21 tff(14051,plain,
% 14.99/10.21 (v1(constB140)),
% 14.99/10.21 inference(modus_ponens,[status(thm)],[14050, 14049])).
% 14.99/10.21 tff(14052,plain,
% 14.99/10.21 ((~((~v1(constB140)) | (~v102(constB140)))) | (~v1(constB140)) | (~v102(constB140))),
% 14.99/10.21 inference(tautology,[status(thm)],[])).
% 14.99/10.21 tff(14053,plain,
% 14.99/10.21 ((~((~v1(constB140)) | (~v102(constB140)))) | (~v102(constB140))),
% 14.99/10.21 inference(unit_resolution,[status(thm)],[14052, 14051])).
% 14.99/10.21 tff(14054,plain,
% 14.99/10.21 (~((~v1(constB140)) | (~v102(constB140)))),
% 14.99/10.21 inference(unit_resolution,[status(thm)],[14053, 14048])).
% 14.99/10.21 tff(14055,plain,
% 14.99/10.21 ((~(v101(constB140) <=> (~((~v1(constB140)) | (~v102(constB140)))))) | v101(constB140) | ((~v1(constB140)) | (~v102(constB140)))),
% 14.99/10.21 inference(tautology,[status(thm)],[])).
% 14.99/10.21 tff(14056,plain,
% 14.99/10.21 (v101(constB140)),
% 14.99/10.21 inference(unit_resolution,[status(thm)],[14055, 14054, 14032])).
% 14.99/10.21 tff(14057,plain,
% 14.99/10.21 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | ((~nextState(constB139, constB140)) | (v110(constB140) <=> v108(constB139)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | (~nextState(constB139, constB140)) | (v110(constB140) <=> v108(constB139)))),
% 14.99/10.21 inference(rewrite,[status(thm)],[])).
% 14.99/10.21 tff(14058,plain,
% 14.99/10.21 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | ((~nextState(constB139, constB140)) | (v110(constB140) <=> v108(constB139)))),
% 14.99/10.21 inference(quant_inst,[status(thm)],[])).
% 14.99/10.21 tff(14059,plain,
% 14.99/10.21 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | (~nextState(constB139, constB140)) | (v110(constB140) <=> v108(constB139))),
% 14.99/10.21 inference(modus_ponens,[status(thm)],[14058, 14057])).
% 14.99/10.21 tff(14060,plain,
% 14.99/10.21 (v110(constB140) <=> v108(constB139)),
% 14.99/10.21 inference(unit_resolution,[status(thm)],[14059, 14021, 556])).
% 14.99/10.21 tff(14061,plain,
% 14.99/10.21 ((~![VarCurr: $i] : (v108(VarCurr) <=> (v111(VarCurr) | v112(VarCurr)))) | (v108(constB139) <=> (v111(constB139) | v112(constB139)))),
% 14.99/10.21 inference(quant_inst,[status(thm)],[])).
% 14.99/10.21 tff(14062,plain,
% 14.99/10.21 (v108(constB139) <=> (v111(constB139) | v112(constB139))),
% 14.99/10.21 inference(unit_resolution,[status(thm)],[14061, 567])).
% 14.99/10.21 tff(14063,plain,
% 14.99/10.21 ((~![VarCurr: $i] : (v112(VarCurr) <=> (~((~v113(VarCurr)) | (~v126(VarCurr)))))) | (v112(constB139) <=> (~((~v113(constB139)) | (~v126(constB139)))))),
% 14.99/10.21 inference(quant_inst,[status(thm)],[])).
% 14.99/10.21 tff(14064,plain,
% 14.99/10.21 (v112(constB139) <=> (~((~v113(constB139)) | (~v126(constB139))))),
% 14.99/10.21 inference(unit_resolution,[status(thm)],[14063, 579])).
% 14.99/10.21 tff(14065,plain,
% 14.99/10.21 ((~![VarCurr: $i] : (v113(VarCurr) <=> (v114(VarCurr) | v125(VarCurr)))) | (v113(constB139) <=> (v114(constB139) | v125(constB139)))),
% 14.99/10.21 inference(quant_inst,[status(thm)],[])).
% 14.99/10.21 tff(14066,plain,
% 14.99/10.21 (v113(constB139) <=> (v114(constB139) | v125(constB139))),
% 14.99/10.21 inference(unit_resolution,[status(thm)],[14065, 588])).
% 14.99/10.21 tff(14067,plain,
% 14.99/10.21 ((~![VarCurr: $i] : (v114(VarCurr) <=> (v115(VarCurr) | v124(VarCurr)))) | (v114(constB139) <=> (v115(constB139) | v124(constB139)))),
% 14.99/10.21 inference(quant_inst,[status(thm)],[])).
% 14.99/10.21 tff(14068,plain,
% 14.99/10.21 (v114(constB139) <=> (v115(constB139) | v124(constB139))),
% 14.99/10.21 inference(unit_resolution,[status(thm)],[14067, 597])).
% 14.99/10.21 tff(14069,plain,
% 14.99/10.21 ((~![VarCurr: $i] : (v115(VarCurr) <=> (v116(VarCurr) | v123(VarCurr)))) | (v115(constB139) <=> (v116(constB139) | v123(constB139)))),
% 14.99/10.21 inference(quant_inst,[status(thm)],[])).
% 14.99/10.21 tff(14070,plain,
% 14.99/10.21 (v115(constB139) <=> (v116(constB139) | v123(constB139))),
% 14.99/10.21 inference(unit_resolution,[status(thm)],[14069, 606])).
% 14.99/10.21 tff(14071,plain,
% 14.99/10.21 ((~![VarCurr: $i] : (v116(VarCurr) <=> (v117(VarCurr) | v122(VarCurr)))) | (v116(constB139) <=> (v117(constB139) | v122(constB139)))),
% 14.99/10.21 inference(quant_inst,[status(thm)],[])).
% 14.99/10.21 tff(14072,plain,
% 14.99/10.21 (v116(constB139) <=> (v117(constB139) | v122(constB139))),
% 14.99/10.21 inference(unit_resolution,[status(thm)],[14071, 719])).
% 14.99/10.21 tff(14073,plain,
% 14.99/10.21 ((~![VarCurr: $i] : (v117(VarCurr) <=> (v118(VarCurr) | v121(VarCurr)))) | (v117(constB139) <=> (v118(constB139) | v121(constB139)))),
% 14.99/10.21 inference(quant_inst,[status(thm)],[])).
% 14.99/10.21 tff(14074,plain,
% 14.99/10.21 (v117(constB139) <=> (v118(constB139) | v121(constB139))),
% 14.99/10.21 inference(unit_resolution,[status(thm)],[14073, 834])).
% 14.99/10.21 tff(14075,plain,
% 14.99/10.21 (((~![VarCurr: $i] : (v121(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex1)))))) | (v121(constB139) <=> (~(v90(constB139, bitIndex2) | (~v90(constB139, bitIndex1)) | v90(constB139, bitIndex0))))) <=> ((~![VarCurr: $i] : (v121(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex1)))))) | (v121(constB139) <=> (~(v90(constB139, bitIndex2) | (~v90(constB139, bitIndex1)) | v90(constB139, bitIndex0)))))),
% 14.99/10.21 inference(rewrite,[status(thm)],[])).
% 14.99/10.21 tff(14076,plain,
% 14.99/10.21 ((v121(constB139) <=> (~(v90(constB139, bitIndex0) | v90(constB139, bitIndex2) | (~v90(constB139, bitIndex1))))) <=> (v121(constB139) <=> (~(v90(constB139, bitIndex2) | (~v90(constB139, bitIndex1)) | v90(constB139, bitIndex0))))),
% 14.99/10.21 inference(rewrite,[status(thm)],[])).
% 14.99/10.21 tff(14077,plain,
% 14.99/10.21 (((~![VarCurr: $i] : (v121(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex1)))))) | (v121(constB139) <=> (~(v90(constB139, bitIndex0) | v90(constB139, bitIndex2) | (~v90(constB139, bitIndex1)))))) <=> ((~![VarCurr: $i] : (v121(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex1)))))) | (v121(constB139) <=> (~(v90(constB139, bitIndex2) | (~v90(constB139, bitIndex1)) | v90(constB139, bitIndex0)))))),
% 14.99/10.21 inference(monotonicity,[status(thm)],[14076])).
% 14.99/10.21 tff(14078,plain,
% 14.99/10.21 (((~![VarCurr: $i] : (v121(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex1)))))) | (v121(constB139) <=> (~(v90(constB139, bitIndex0) | v90(constB139, bitIndex2) | (~v90(constB139, bitIndex1)))))) <=> ((~![VarCurr: $i] : (v121(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex1)))))) | (v121(constB139) <=> (~(v90(constB139, bitIndex2) | (~v90(constB139, bitIndex1)) | v90(constB139, bitIndex0)))))),
% 14.99/10.21 inference(transitivity,[status(thm)],[14077, 14075])).
% 14.99/10.21 tff(14079,plain,
% 14.99/10.21 ((~![VarCurr: $i] : (v121(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex1)))))) | (v121(constB139) <=> (~(v90(constB139, bitIndex0) | v90(constB139, bitIndex2) | (~v90(constB139, bitIndex1)))))),
% 14.99/10.21 inference(quant_inst,[status(thm)],[])).
% 14.99/10.21 tff(14080,plain,
% 14.99/10.21 ((~![VarCurr: $i] : (v121(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex1)))))) | (v121(constB139) <=> (~(v90(constB139, bitIndex2) | (~v90(constB139, bitIndex1)) | v90(constB139, bitIndex0))))),
% 14.99/10.21 inference(modus_ponens,[status(thm)],[14079, 14078])).
% 14.99/10.21 tff(14081,plain,
% 14.99/10.21 (v121(constB139) <=> (~(v90(constB139, bitIndex2) | (~v90(constB139, bitIndex1)) | v90(constB139, bitIndex0)))),
% 14.99/10.21 inference(unit_resolution,[status(thm)],[14080, 849])).
% 14.99/10.21 tff(14082,plain,
% 14.99/10.21 (nextState(constB138, constB139) <=> nextState(constB138, constB139)),
% 14.99/10.21 inference(rewrite,[status(thm)],[])).
% 14.99/10.21 tff(14083,axiom,(nextState(constB138, constB139)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_138')).
% 14.99/10.21 tff(14084,plain,
% 14.99/10.21 (nextState(constB138, constB139)),
% 14.99/10.21 inference(modus_ponens,[status(thm)],[14083, 14082])).
% 14.99/10.21 tff(14085,plain,
% 14.99/10.21 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB138, constB139)) | (v100(constB139) <=> (~((~v101(constB139)) | (~v110(constB139))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB138, constB139)) | (v100(constB139) <=> (~((~v101(constB139)) | (~v110(constB139))))))),
% 14.99/10.21 inference(rewrite,[status(thm)],[])).
% 14.99/10.21 tff(14086,plain,
% 14.99/10.21 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB138, constB139)) | (v100(constB139) <=> (~((~v101(constB139)) | (~v110(constB139))))))),
% 14.99/10.21 inference(quant_inst,[status(thm)],[])).
% 14.99/10.21 tff(14087,plain,
% 14.99/10.21 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB138, constB139)) | (v100(constB139) <=> (~((~v101(constB139)) | (~v110(constB139)))))),
% 14.99/10.21 inference(modus_ponens,[status(thm)],[14086, 14085])).
% 14.99/10.21 tff(14088,plain,
% 14.99/10.21 (v100(constB139) <=> (~((~v101(constB139)) | (~v110(constB139))))),
% 14.99/10.21 inference(unit_resolution,[status(thm)],[14087, 14084, 430])).
% 14.99/10.21 tff(14089,plain,
% 14.99/10.21 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB138, constB139)) | (v101(constB139) <=> (~((~v1(constB139)) | (~v102(constB139))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB138, constB139)) | (v101(constB139) <=> (~((~v1(constB139)) | (~v102(constB139))))))),
% 14.99/10.21 inference(rewrite,[status(thm)],[])).
% 14.99/10.21 tff(14090,plain,
% 14.99/10.21 (((~nextState(constB138, constB139)) | (v101(constB139) <=> (~((~v102(constB139)) | (~v1(constB139)))))) <=> ((~nextState(constB138, constB139)) | (v101(constB139) <=> (~((~v1(constB139)) | (~v102(constB139))))))),
% 14.99/10.21 inference(rewrite,[status(thm)],[])).
% 14.99/10.21 tff(14091,plain,
% 14.99/10.21 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB138, constB139)) | (v101(constB139) <=> (~((~v102(constB139)) | (~v1(constB139))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB138, constB139)) | (v101(constB139) <=> (~((~v1(constB139)) | (~v102(constB139)))))))),
% 14.99/10.21 inference(monotonicity,[status(thm)],[14090])).
% 14.99/10.21 tff(14092,plain,
% 14.99/10.21 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB138, constB139)) | (v101(constB139) <=> (~((~v102(constB139)) | (~v1(constB139))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB138, constB139)) | (v101(constB139) <=> (~((~v1(constB139)) | (~v102(constB139))))))),
% 14.99/10.21 inference(transitivity,[status(thm)],[14091, 14089])).
% 14.99/10.21 tff(14093,plain,
% 14.99/10.21 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB138, constB139)) | (v101(constB139) <=> (~((~v102(constB139)) | (~v1(constB139))))))),
% 14.99/10.21 inference(quant_inst,[status(thm)],[])).
% 14.99/10.21 tff(14094,plain,
% 14.99/10.21 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB138, constB139)) | (v101(constB139) <=> (~((~v1(constB139)) | (~v102(constB139)))))),
% 14.99/10.21 inference(modus_ponens,[status(thm)],[14093, 14092])).
% 14.99/10.21 tff(14095,plain,
% 14.99/10.21 (v101(constB139) <=> (~((~v1(constB139)) | (~v102(constB139))))),
% 14.99/10.21 inference(unit_resolution,[status(thm)],[14094, 14084, 450])).
% 14.99/10.21 tff(14096,plain,
% 14.99/10.21 (((~v1(constB139)) | (~v102(constB139))) | v1(constB139)),
% 14.99/10.21 inference(tautology,[status(thm)],[])).
% 14.99/10.21 tff(14097,plain,
% 14.99/10.21 ((~v1(constB139)) | (~v102(constB139))),
% 14.99/10.21 inference(unit_resolution,[status(thm)],[14096, 14043])).
% 14.99/10.21 tff(14098,plain,
% 14.99/10.21 ((~(v101(constB139) <=> (~((~v1(constB139)) | (~v102(constB139)))))) | (~v101(constB139)) | (~((~v1(constB139)) | (~v102(constB139))))),
% 14.99/10.21 inference(tautology,[status(thm)],[])).
% 14.99/10.21 tff(14099,plain,
% 14.99/10.21 ((~(v101(constB139) <=> (~((~v1(constB139)) | (~v102(constB139)))))) | (~v101(constB139))),
% 14.99/10.21 inference(unit_resolution,[status(thm)],[14098, 14097])).
% 14.99/10.21 tff(14100,plain,
% 14.99/10.21 (~v101(constB139)),
% 14.99/10.21 inference(unit_resolution,[status(thm)],[14099, 14095])).
% 14.99/10.21 tff(14101,plain,
% 14.99/10.21 (((~v101(constB139)) | (~v110(constB139))) | v101(constB139)),
% 14.99/10.21 inference(tautology,[status(thm)],[])).
% 14.99/10.21 tff(14102,plain,
% 14.99/10.21 ((~v101(constB139)) | (~v110(constB139))),
% 14.99/10.22 inference(unit_resolution,[status(thm)],[14101, 14100])).
% 14.99/10.22 tff(14103,plain,
% 14.99/10.22 ((~(v100(constB139) <=> (~((~v101(constB139)) | (~v110(constB139)))))) | (~v100(constB139)) | (~((~v101(constB139)) | (~v110(constB139))))),
% 14.99/10.22 inference(tautology,[status(thm)],[])).
% 14.99/10.22 tff(14104,plain,
% 14.99/10.22 (~v100(constB139)),
% 14.99/10.22 inference(unit_resolution,[status(thm)],[14103, 14102, 14088])).
% 14.99/10.22 tff(14105,plain,
% 14.99/10.22 (((~![VarCurr: $i, VarNext: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v90(VarCurr, B))))) | (v100(constB139) | (~nextState(constB138, constB139)) | ![B: $i] : ((~less_3(B)) | (v90(constB139, B) <=> v90(constB138, B))))) <=> ((~![VarCurr: $i, VarNext: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v90(VarCurr, B))))) | v100(constB139) | (~nextState(constB138, constB139)) | ![B: $i] : ((~less_3(B)) | (v90(constB139, B) <=> v90(constB138, B))))),
% 14.99/10.22 inference(rewrite,[status(thm)],[])).
% 14.99/10.22 tff(14106,plain,
% 14.99/10.22 ((~![VarCurr: $i, VarNext: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v90(VarCurr, B))))) | (v100(constB139) | (~nextState(constB138, constB139)) | ![B: $i] : ((~less_3(B)) | (v90(constB139, B) <=> v90(constB138, B))))),
% 14.99/10.22 inference(quant_inst,[status(thm)],[])).
% 14.99/10.22 tff(14107,plain,
% 14.99/10.22 ((~![VarCurr: $i, VarNext: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v90(VarCurr, B))))) | v100(constB139) | (~nextState(constB138, constB139)) | ![B: $i] : ((~less_3(B)) | (v90(constB139, B) <=> v90(constB138, B)))),
% 14.99/10.22 inference(modus_ponens,[status(thm)],[14106, 14105])).
% 14.99/10.22 tff(14108,plain,
% 14.99/10.22 (v100(constB139) | ![B: $i] : ((~less_3(B)) | (v90(constB139, B) <=> v90(constB138, B)))),
% 14.99/10.22 inference(unit_resolution,[status(thm)],[14107, 14084, 479])).
% 14.99/10.22 tff(14109,plain,
% 14.99/10.22 (![B: $i] : ((~less_3(B)) | (v90(constB139, B) <=> v90(constB138, B)))),
% 14.99/10.22 inference(unit_resolution,[status(thm)],[14108, 14104])).
% 14.99/10.22 tff(14110,plain,
% 14.99/10.22 (((~![B: $i] : ((~less_3(B)) | (v90(constB139, B) <=> v90(constB138, B)))) | ((~less_3(bitIndex2)) | (v90(constB139, bitIndex2) <=> v90(constB138, bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v90(constB139, B) <=> v90(constB138, B)))) | (~less_3(bitIndex2)) | (v90(constB139, bitIndex2) <=> v90(constB138, bitIndex2)))),
% 14.99/10.22 inference(rewrite,[status(thm)],[])).
% 14.99/10.22 tff(14111,plain,
% 14.99/10.22 ((~![B: $i] : ((~less_3(B)) | (v90(constB139, B) <=> v90(constB138, B)))) | ((~less_3(bitIndex2)) | (v90(constB139, bitIndex2) <=> v90(constB138, bitIndex2)))),
% 14.99/10.22 inference(quant_inst,[status(thm)],[])).
% 14.99/10.22 tff(14112,plain,
% 14.99/10.22 ((~![B: $i] : ((~less_3(B)) | (v90(constB139, B) <=> v90(constB138, B)))) | (~less_3(bitIndex2)) | (v90(constB139, bitIndex2) <=> v90(constB138, bitIndex2))),
% 14.99/10.22 inference(modus_ponens,[status(thm)],[14111, 14110])).
% 14.99/10.22 tff(14113,plain,
% 14.99/10.22 (v90(constB139, bitIndex2) <=> v90(constB138, bitIndex2)),
% 14.99/10.22 inference(unit_resolution,[status(thm)],[14112, 413, 14109])).
% 14.99/10.22 tff(14114,plain,
% 14.99/10.22 (nextState(constB137, constB138) <=> nextState(constB137, constB138)),
% 14.99/10.22 inference(rewrite,[status(thm)],[])).
% 14.99/10.22 tff(14115,axiom,(nextState(constB137, constB138)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_137')).
% 14.99/10.22 tff(14116,plain,
% 14.99/10.22 (nextState(constB137, constB138)),
% 14.99/10.22 inference(modus_ponens,[status(thm)],[14115, 14114])).
% 14.99/10.22 tff(14117,plain,
% 14.99/10.22 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB137, constB138)) | (v100(constB138) <=> (~((~v101(constB138)) | (~v110(constB138))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB137, constB138)) | (v100(constB138) <=> (~((~v101(constB138)) | (~v110(constB138))))))),
% 14.99/10.22 inference(rewrite,[status(thm)],[])).
% 14.99/10.22 tff(14118,plain,
% 14.99/10.22 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB137, constB138)) | (v100(constB138) <=> (~((~v101(constB138)) | (~v110(constB138))))))),
% 14.99/10.22 inference(quant_inst,[status(thm)],[])).
% 14.99/10.22 tff(14119,plain,
% 14.99/10.22 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB137, constB138)) | (v100(constB138) <=> (~((~v101(constB138)) | (~v110(constB138)))))),
% 14.99/10.22 inference(modus_ponens,[status(thm)],[14118, 14117])).
% 14.99/10.22 tff(14120,plain,
% 14.99/10.22 (v100(constB138) <=> (~((~v101(constB138)) | (~v110(constB138))))),
% 14.99/10.22 inference(unit_resolution,[status(thm)],[14119, 14116, 430])).
% 14.99/10.22 tff(14121,plain,
% 14.99/10.22 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB137, constB138)) | (v101(constB138) <=> (~((~v1(constB138)) | (~v102(constB138))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB137, constB138)) | (v101(constB138) <=> (~((~v1(constB138)) | (~v102(constB138))))))),
% 14.99/10.22 inference(rewrite,[status(thm)],[])).
% 14.99/10.22 tff(14122,plain,
% 14.99/10.22 (((~nextState(constB137, constB138)) | (v101(constB138) <=> (~((~v102(constB138)) | (~v1(constB138)))))) <=> ((~nextState(constB137, constB138)) | (v101(constB138) <=> (~((~v1(constB138)) | (~v102(constB138))))))),
% 14.99/10.22 inference(rewrite,[status(thm)],[])).
% 14.99/10.22 tff(14123,plain,
% 14.99/10.22 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB137, constB138)) | (v101(constB138) <=> (~((~v102(constB138)) | (~v1(constB138))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB137, constB138)) | (v101(constB138) <=> (~((~v1(constB138)) | (~v102(constB138)))))))),
% 14.99/10.22 inference(monotonicity,[status(thm)],[14122])).
% 14.99/10.22 tff(14124,plain,
% 14.99/10.22 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB137, constB138)) | (v101(constB138) <=> (~((~v102(constB138)) | (~v1(constB138))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB137, constB138)) | (v101(constB138) <=> (~((~v1(constB138)) | (~v102(constB138))))))),
% 14.99/10.22 inference(transitivity,[status(thm)],[14123, 14121])).
% 14.99/10.22 tff(14125,plain,
% 14.99/10.22 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB137, constB138)) | (v101(constB138) <=> (~((~v102(constB138)) | (~v1(constB138))))))),
% 14.99/10.22 inference(quant_inst,[status(thm)],[])).
% 14.99/10.22 tff(14126,plain,
% 14.99/10.22 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB137, constB138)) | (v101(constB138) <=> (~((~v1(constB138)) | (~v102(constB138)))))),
% 14.99/10.22 inference(modus_ponens,[status(thm)],[14125, 14124])).
% 14.99/10.22 tff(14127,plain,
% 14.99/10.22 (v101(constB138) <=> (~((~v1(constB138)) | (~v102(constB138))))),
% 14.99/10.22 inference(unit_resolution,[status(thm)],[14126, 14116, 450])).
% 14.99/10.22 tff(14128,plain,
% 14.99/10.22 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | ((~nextState(constB137, constB138)) | ((~v102(constB138)) <=> v104(constB138)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | (~nextState(constB137, constB138)) | ((~v102(constB138)) <=> v104(constB138)))),
% 14.99/10.22 inference(rewrite,[status(thm)],[])).
% 14.99/10.22 tff(14129,plain,
% 14.99/10.22 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | ((~nextState(constB137, constB138)) | ((~v102(constB138)) <=> v104(constB138)))),
% 14.99/10.22 inference(quant_inst,[status(thm)],[])).
% 14.99/10.22 tff(14130,plain,
% 14.99/10.22 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | (~nextState(constB137, constB138)) | ((~v102(constB138)) <=> v104(constB138))),
% 14.99/10.22 inference(modus_ponens,[status(thm)],[14129, 14128])).
% 14.99/10.22 tff(14131,plain,
% 14.99/10.22 ((~v102(constB138)) <=> v104(constB138)),
% 14.99/10.22 inference(unit_resolution,[status(thm)],[14130, 14116, 512])).
% 14.99/10.22 tff(14132,plain,
% 14.99/10.22 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB137, constB138)) | (v104(constB138) <=> v1(constB137)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | (~nextState(constB137, constB138)) | (v104(constB138) <=> v1(constB137)))),
% 14.99/10.22 inference(rewrite,[status(thm)],[])).
% 14.99/10.22 tff(14133,plain,
% 14.99/10.22 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB137, constB138)) | (v104(constB138) <=> v1(constB137)))),
% 14.99/10.22 inference(quant_inst,[status(thm)],[])).
% 14.99/10.22 tff(14134,plain,
% 14.99/10.22 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | (~nextState(constB137, constB138)) | (v104(constB138) <=> v1(constB137))),
% 14.99/10.22 inference(modus_ponens,[status(thm)],[14133, 14132])).
% 14.99/10.22 tff(14135,plain,
% 14.99/10.22 (v104(constB138) <=> v1(constB137)),
% 14.99/10.22 inference(unit_resolution,[status(thm)],[14134, 14116, 526])).
% 14.99/10.22 tff(14136,plain,
% 14.99/10.22 ((~v1(constB137)) <=> (~v1(constB137))),
% 14.99/10.22 inference(rewrite,[status(thm)],[])).
% 14.99/10.22 tff(14137,axiom,(~v1(constB137)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_137')).
% 14.99/10.22 tff(14138,plain,
% 14.99/10.22 (~v1(constB137)),
% 14.99/10.22 inference(modus_ponens,[status(thm)],[14137, 14136])).
% 14.99/10.22 tff(14139,plain,
% 14.99/10.22 ((~(v104(constB138) <=> v1(constB137))) | (~v104(constB138)) | v1(constB137)),
% 14.99/10.22 inference(tautology,[status(thm)],[])).
% 14.99/10.22 tff(14140,plain,
% 14.99/10.22 ((~(v104(constB138) <=> v1(constB137))) | (~v104(constB138))),
% 14.99/10.22 inference(unit_resolution,[status(thm)],[14139, 14138])).
% 14.99/10.22 tff(14141,plain,
% 14.99/10.22 (~v104(constB138)),
% 14.99/10.22 inference(unit_resolution,[status(thm)],[14140, 14135])).
% 14.99/10.22 tff(14142,plain,
% 14.99/10.22 ((~((~v102(constB138)) <=> v104(constB138))) | v102(constB138) | v104(constB138)),
% 14.99/10.22 inference(tautology,[status(thm)],[])).
% 14.99/10.22 tff(14143,plain,
% 14.99/10.22 (v102(constB138)),
% 14.99/10.22 inference(unit_resolution,[status(thm)],[14142, 14141, 14131])).
% 14.99/10.22 tff(14144,plain,
% 14.99/10.22 (v1(constB138) <=> v1(constB138)),
% 14.99/10.22 inference(rewrite,[status(thm)],[])).
% 14.99/10.22 tff(14145,axiom,(v1(constB138)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_138')).
% 14.99/10.22 tff(14146,plain,
% 14.99/10.22 (v1(constB138)),
% 14.99/10.22 inference(modus_ponens,[status(thm)],[14145, 14144])).
% 14.99/10.22 tff(14147,plain,
% 14.99/10.22 ((~((~v1(constB138)) | (~v102(constB138)))) | (~v1(constB138)) | (~v102(constB138))),
% 14.99/10.22 inference(tautology,[status(thm)],[])).
% 14.99/10.22 tff(14148,plain,
% 14.99/10.22 ((~((~v1(constB138)) | (~v102(constB138)))) | (~v102(constB138))),
% 14.99/10.22 inference(unit_resolution,[status(thm)],[14147, 14146])).
% 14.99/10.22 tff(14149,plain,
% 14.99/10.22 (~((~v1(constB138)) | (~v102(constB138)))),
% 14.99/10.22 inference(unit_resolution,[status(thm)],[14148, 14143])).
% 14.99/10.22 tff(14150,plain,
% 14.99/10.22 ((~(v101(constB138) <=> (~((~v1(constB138)) | (~v102(constB138)))))) | v101(constB138) | ((~v1(constB138)) | (~v102(constB138)))),
% 14.99/10.22 inference(tautology,[status(thm)],[])).
% 14.99/10.22 tff(14151,plain,
% 14.99/10.22 (v101(constB138)),
% 14.99/10.22 inference(unit_resolution,[status(thm)],[14150, 14149, 14127])).
% 14.99/10.22 tff(14152,plain,
% 14.99/10.22 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | ((~nextState(constB137, constB138)) | (v110(constB138) <=> v108(constB137)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | (~nextState(constB137, constB138)) | (v110(constB138) <=> v108(constB137)))),
% 14.99/10.22 inference(rewrite,[status(thm)],[])).
% 14.99/10.22 tff(14153,plain,
% 14.99/10.22 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | ((~nextState(constB137, constB138)) | (v110(constB138) <=> v108(constB137)))),
% 14.99/10.22 inference(quant_inst,[status(thm)],[])).
% 14.99/10.22 tff(14154,plain,
% 14.99/10.22 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | (~nextState(constB137, constB138)) | (v110(constB138) <=> v108(constB137))),
% 14.99/10.22 inference(modus_ponens,[status(thm)],[14153, 14152])).
% 14.99/10.22 tff(14155,plain,
% 14.99/10.22 (v110(constB138) <=> v108(constB137)),
% 14.99/10.22 inference(unit_resolution,[status(thm)],[14154, 14116, 556])).
% 14.99/10.22 tff(14156,plain,
% 14.99/10.22 ((~![VarCurr: $i] : (v108(VarCurr) <=> (v111(VarCurr) | v112(VarCurr)))) | (v108(constB137) <=> (v111(constB137) | v112(constB137)))),
% 14.99/10.22 inference(quant_inst,[status(thm)],[])).
% 14.99/10.22 tff(14157,plain,
% 14.99/10.22 (v108(constB137) <=> (v111(constB137) | v112(constB137))),
% 14.99/10.22 inference(unit_resolution,[status(thm)],[14156, 567])).
% 14.99/10.22 tff(14158,plain,
% 14.99/10.22 ((~![VarCurr: $i] : (v112(VarCurr) <=> (~((~v113(VarCurr)) | (~v126(VarCurr)))))) | (v112(constB137) <=> (~((~v113(constB137)) | (~v126(constB137)))))),
% 14.99/10.22 inference(quant_inst,[status(thm)],[])).
% 14.99/10.22 tff(14159,plain,
% 14.99/10.22 (v112(constB137) <=> (~((~v113(constB137)) | (~v126(constB137))))),
% 14.99/10.22 inference(unit_resolution,[status(thm)],[14158, 579])).
% 14.99/10.22 tff(14160,plain,
% 14.99/10.22 ((~![VarCurr: $i] : (v113(VarCurr) <=> (v114(VarCurr) | v125(VarCurr)))) | (v113(constB137) <=> (v114(constB137) | v125(constB137)))),
% 14.99/10.22 inference(quant_inst,[status(thm)],[])).
% 14.99/10.22 tff(14161,plain,
% 14.99/10.22 (v113(constB137) <=> (v114(constB137) | v125(constB137))),
% 14.99/10.22 inference(unit_resolution,[status(thm)],[14160, 588])).
% 14.99/10.22 tff(14162,plain,
% 14.99/10.22 ((~![VarCurr: $i] : (v114(VarCurr) <=> (v115(VarCurr) | v124(VarCurr)))) | (v114(constB137) <=> (v115(constB137) | v124(constB137)))),
% 14.99/10.22 inference(quant_inst,[status(thm)],[])).
% 14.99/10.22 tff(14163,plain,
% 14.99/10.22 (v114(constB137) <=> (v115(constB137) | v124(constB137))),
% 14.99/10.22 inference(unit_resolution,[status(thm)],[14162, 597])).
% 14.99/10.22 tff(14164,plain,
% 14.99/10.22 ((~![VarCurr: $i] : (v115(VarCurr) <=> (v116(VarCurr) | v123(VarCurr)))) | (v115(constB137) <=> (v116(constB137) | v123(constB137)))),
% 14.99/10.22 inference(quant_inst,[status(thm)],[])).
% 14.99/10.22 tff(14165,plain,
% 14.99/10.22 (v115(constB137) <=> (v116(constB137) | v123(constB137))),
% 14.99/10.22 inference(unit_resolution,[status(thm)],[14164, 606])).
% 14.99/10.22 tff(14166,plain,
% 14.99/10.22 ((~![VarCurr: $i] : (v116(VarCurr) <=> (v117(VarCurr) | v122(VarCurr)))) | (v116(constB137) <=> (v117(constB137) | v122(constB137)))),
% 14.99/10.22 inference(quant_inst,[status(thm)],[])).
% 14.99/10.22 tff(14167,plain,
% 14.99/10.22 (v116(constB137) <=> (v117(constB137) | v122(constB137))),
% 14.99/10.22 inference(unit_resolution,[status(thm)],[14166, 719])).
% 14.99/10.22 tff(14168,plain,
% 14.99/10.22 ((~![VarCurr: $i] : (v117(VarCurr) <=> (v118(VarCurr) | v121(VarCurr)))) | (v117(constB137) <=> (v118(constB137) | v121(constB137)))),
% 14.99/10.22 inference(quant_inst,[status(thm)],[])).
% 14.99/10.22 tff(14169,plain,
% 14.99/10.22 (v117(constB137) <=> (v118(constB137) | v121(constB137))),
% 14.99/10.22 inference(unit_resolution,[status(thm)],[14168, 834])).
% 14.99/10.22 tff(14170,plain,
% 14.99/10.22 ((~![VarCurr: $i] : (v118(VarCurr) <=> (v119(VarCurr) | v120(VarCurr)))) | (v118(constB137) <=> (v119(constB137) | v120(constB137)))),
% 14.99/10.22 inference(quant_inst,[status(thm)],[])).
% 14.99/10.22 tff(14171,plain,
% 14.99/10.22 (v118(constB137) <=> (v119(constB137) | v120(constB137))),
% 14.99/10.22 inference(unit_resolution,[status(thm)],[14170, 951])).
% 14.99/10.22 tff(14172,plain,
% 14.99/10.22 (((~![VarCurr: $i] : (v120(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)))))) | (v120(constB137) <=> (~(v90(constB137, bitIndex2) | v90(constB137, bitIndex1) | (~v90(constB137, bitIndex0)))))) <=> ((~![VarCurr: $i] : (v120(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)))))) | (v120(constB137) <=> (~(v90(constB137, bitIndex2) | v90(constB137, bitIndex1) | (~v90(constB137, bitIndex0))))))),
% 14.99/10.22 inference(rewrite,[status(thm)],[])).
% 14.99/10.22 tff(14173,plain,
% 14.99/10.22 ((v120(constB137) <=> (~(v90(constB137, bitIndex1) | v90(constB137, bitIndex2) | (~v90(constB137, bitIndex0))))) <=> (v120(constB137) <=> (~(v90(constB137, bitIndex2) | v90(constB137, bitIndex1) | (~v90(constB137, bitIndex0)))))),
% 14.99/10.22 inference(rewrite,[status(thm)],[])).
% 14.99/10.22 tff(14174,plain,
% 14.99/10.22 (((~![VarCurr: $i] : (v120(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)))))) | (v120(constB137) <=> (~(v90(constB137, bitIndex1) | v90(constB137, bitIndex2) | (~v90(constB137, bitIndex0)))))) <=> ((~![VarCurr: $i] : (v120(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)))))) | (v120(constB137) <=> (~(v90(constB137, bitIndex2) | v90(constB137, bitIndex1) | (~v90(constB137, bitIndex0))))))),
% 14.99/10.23 inference(monotonicity,[status(thm)],[14173])).
% 14.99/10.23 tff(14175,plain,
% 14.99/10.23 (((~![VarCurr: $i] : (v120(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)))))) | (v120(constB137) <=> (~(v90(constB137, bitIndex1) | v90(constB137, bitIndex2) | (~v90(constB137, bitIndex0)))))) <=> ((~![VarCurr: $i] : (v120(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)))))) | (v120(constB137) <=> (~(v90(constB137, bitIndex2) | v90(constB137, bitIndex1) | (~v90(constB137, bitIndex0))))))),
% 14.99/10.23 inference(transitivity,[status(thm)],[14174, 14172])).
% 14.99/10.23 tff(14176,plain,
% 14.99/10.23 ((~![VarCurr: $i] : (v120(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)))))) | (v120(constB137) <=> (~(v90(constB137, bitIndex1) | v90(constB137, bitIndex2) | (~v90(constB137, bitIndex0)))))),
% 14.99/10.23 inference(quant_inst,[status(thm)],[])).
% 14.99/10.23 tff(14177,plain,
% 14.99/10.23 ((~![VarCurr: $i] : (v120(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)))))) | (v120(constB137) <=> (~(v90(constB137, bitIndex2) | v90(constB137, bitIndex1) | (~v90(constB137, bitIndex0)))))),
% 14.99/10.23 inference(modus_ponens,[status(thm)],[14176, 14175])).
% 14.99/10.23 tff(14178,plain,
% 14.99/10.23 (v120(constB137) <=> (~(v90(constB137, bitIndex2) | v90(constB137, bitIndex1) | (~v90(constB137, bitIndex0))))),
% 14.99/10.23 inference(unit_resolution,[status(thm)],[14177, 966])).
% 14.99/10.23 tff(14179,plain,
% 14.99/10.23 (nextState(constB136, constB137) <=> nextState(constB136, constB137)),
% 14.99/10.23 inference(rewrite,[status(thm)],[])).
% 14.99/10.23 tff(14180,axiom,(nextState(constB136, constB137)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_136')).
% 14.99/10.23 tff(14181,plain,
% 14.99/10.23 (nextState(constB136, constB137)),
% 14.99/10.23 inference(modus_ponens,[status(thm)],[14180, 14179])).
% 14.99/10.23 tff(14182,plain,
% 14.99/10.23 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB136, constB137)) | (v100(constB137) <=> (~((~v101(constB137)) | (~v110(constB137))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB136, constB137)) | (v100(constB137) <=> (~((~v101(constB137)) | (~v110(constB137))))))),
% 14.99/10.23 inference(rewrite,[status(thm)],[])).
% 14.99/10.23 tff(14183,plain,
% 14.99/10.23 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB136, constB137)) | (v100(constB137) <=> (~((~v101(constB137)) | (~v110(constB137))))))),
% 14.99/10.23 inference(quant_inst,[status(thm)],[])).
% 14.99/10.23 tff(14184,plain,
% 14.99/10.23 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB136, constB137)) | (v100(constB137) <=> (~((~v101(constB137)) | (~v110(constB137)))))),
% 14.99/10.23 inference(modus_ponens,[status(thm)],[14183, 14182])).
% 14.99/10.23 tff(14185,plain,
% 14.99/10.23 (v100(constB137) <=> (~((~v101(constB137)) | (~v110(constB137))))),
% 14.99/10.23 inference(unit_resolution,[status(thm)],[14184, 14181, 430])).
% 14.99/10.23 tff(14186,plain,
% 14.99/10.23 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB136, constB137)) | (v101(constB137) <=> (~((~v1(constB137)) | (~v102(constB137))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB136, constB137)) | (v101(constB137) <=> (~((~v1(constB137)) | (~v102(constB137))))))),
% 14.99/10.23 inference(rewrite,[status(thm)],[])).
% 14.99/10.23 tff(14187,plain,
% 14.99/10.23 (((~nextState(constB136, constB137)) | (v101(constB137) <=> (~((~v102(constB137)) | (~v1(constB137)))))) <=> ((~nextState(constB136, constB137)) | (v101(constB137) <=> (~((~v1(constB137)) | (~v102(constB137))))))),
% 14.99/10.23 inference(rewrite,[status(thm)],[])).
% 14.99/10.23 tff(14188,plain,
% 14.99/10.23 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB136, constB137)) | (v101(constB137) <=> (~((~v102(constB137)) | (~v1(constB137))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB136, constB137)) | (v101(constB137) <=> (~((~v1(constB137)) | (~v102(constB137)))))))),
% 14.99/10.23 inference(monotonicity,[status(thm)],[14187])).
% 14.99/10.23 tff(14189,plain,
% 14.99/10.23 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB136, constB137)) | (v101(constB137) <=> (~((~v102(constB137)) | (~v1(constB137))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB136, constB137)) | (v101(constB137) <=> (~((~v1(constB137)) | (~v102(constB137))))))),
% 14.99/10.23 inference(transitivity,[status(thm)],[14188, 14186])).
% 14.99/10.23 tff(14190,plain,
% 14.99/10.23 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB136, constB137)) | (v101(constB137) <=> (~((~v102(constB137)) | (~v1(constB137))))))),
% 14.99/10.23 inference(quant_inst,[status(thm)],[])).
% 14.99/10.23 tff(14191,plain,
% 14.99/10.23 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB136, constB137)) | (v101(constB137) <=> (~((~v1(constB137)) | (~v102(constB137)))))),
% 14.99/10.23 inference(modus_ponens,[status(thm)],[14190, 14189])).
% 14.99/10.23 tff(14192,plain,
% 14.99/10.23 (v101(constB137) <=> (~((~v1(constB137)) | (~v102(constB137))))),
% 14.99/10.23 inference(unit_resolution,[status(thm)],[14191, 14181, 450])).
% 14.99/10.23 tff(14193,plain,
% 14.99/10.23 (((~v1(constB137)) | (~v102(constB137))) | v1(constB137)),
% 14.99/10.23 inference(tautology,[status(thm)],[])).
% 14.99/10.23 tff(14194,plain,
% 14.99/10.23 ((~v1(constB137)) | (~v102(constB137))),
% 14.99/10.23 inference(unit_resolution,[status(thm)],[14193, 14138])).
% 14.99/10.23 tff(14195,plain,
% 14.99/10.23 ((~(v101(constB137) <=> (~((~v1(constB137)) | (~v102(constB137)))))) | (~v101(constB137)) | (~((~v1(constB137)) | (~v102(constB137))))),
% 14.99/10.23 inference(tautology,[status(thm)],[])).
% 14.99/10.23 tff(14196,plain,
% 14.99/10.23 ((~(v101(constB137) <=> (~((~v1(constB137)) | (~v102(constB137)))))) | (~v101(constB137))),
% 14.99/10.23 inference(unit_resolution,[status(thm)],[14195, 14194])).
% 14.99/10.23 tff(14197,plain,
% 14.99/10.23 (~v101(constB137)),
% 14.99/10.23 inference(unit_resolution,[status(thm)],[14196, 14192])).
% 14.99/10.23 tff(14198,plain,
% 14.99/10.23 (((~v101(constB137)) | (~v110(constB137))) | v101(constB137)),
% 14.99/10.23 inference(tautology,[status(thm)],[])).
% 14.99/10.23 tff(14199,plain,
% 14.99/10.23 ((~v101(constB137)) | (~v110(constB137))),
% 14.99/10.23 inference(unit_resolution,[status(thm)],[14198, 14197])).
% 14.99/10.23 tff(14200,plain,
% 14.99/10.23 ((~(v100(constB137) <=> (~((~v101(constB137)) | (~v110(constB137)))))) | (~v100(constB137)) | (~((~v101(constB137)) | (~v110(constB137))))),
% 14.99/10.23 inference(tautology,[status(thm)],[])).
% 14.99/10.23 tff(14201,plain,
% 14.99/10.23 (~v100(constB137)),
% 14.99/10.23 inference(unit_resolution,[status(thm)],[14200, 14199, 14185])).
% 14.99/10.23 tff(14202,plain,
% 14.99/10.23 (((~![VarCurr: $i, VarNext: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v90(VarCurr, B))))) | (v100(constB137) | (~nextState(constB136, constB137)) | ![B: $i] : ((~less_3(B)) | (v90(constB137, B) <=> v90(constB136, B))))) <=> ((~![VarCurr: $i, VarNext: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v90(VarCurr, B))))) | v100(constB137) | (~nextState(constB136, constB137)) | ![B: $i] : ((~less_3(B)) | (v90(constB137, B) <=> v90(constB136, B))))),
% 14.99/10.23 inference(rewrite,[status(thm)],[])).
% 14.99/10.23 tff(14203,plain,
% 14.99/10.23 ((~![VarCurr: $i, VarNext: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v90(VarCurr, B))))) | (v100(constB137) | (~nextState(constB136, constB137)) | ![B: $i] : ((~less_3(B)) | (v90(constB137, B) <=> v90(constB136, B))))),
% 14.99/10.23 inference(quant_inst,[status(thm)],[])).
% 14.99/10.23 tff(14204,plain,
% 14.99/10.23 ((~![VarCurr: $i, VarNext: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v90(VarCurr, B))))) | v100(constB137) | (~nextState(constB136, constB137)) | ![B: $i] : ((~less_3(B)) | (v90(constB137, B) <=> v90(constB136, B)))),
% 14.99/10.23 inference(modus_ponens,[status(thm)],[14203, 14202])).
% 14.99/10.23 tff(14205,plain,
% 14.99/10.23 (v100(constB137) | ![B: $i] : ((~less_3(B)) | (v90(constB137, B) <=> v90(constB136, B)))),
% 14.99/10.23 inference(unit_resolution,[status(thm)],[14204, 14181, 479])).
% 14.99/10.23 tff(14206,plain,
% 14.99/10.23 (![B: $i] : ((~less_3(B)) | (v90(constB137, B) <=> v90(constB136, B)))),
% 14.99/10.23 inference(unit_resolution,[status(thm)],[14205, 14201])).
% 14.99/10.23 tff(14207,plain,
% 14.99/10.23 (((~![B: $i] : ((~less_3(B)) | (v90(constB137, B) <=> v90(constB136, B)))) | ((~less_3(bitIndex2)) | (v90(constB137, bitIndex2) <=> v90(constB136, bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v90(constB137, B) <=> v90(constB136, B)))) | (~less_3(bitIndex2)) | (v90(constB137, bitIndex2) <=> v90(constB136, bitIndex2)))),
% 14.99/10.23 inference(rewrite,[status(thm)],[])).
% 14.99/10.23 tff(14208,plain,
% 14.99/10.23 ((~![B: $i] : ((~less_3(B)) | (v90(constB137, B) <=> v90(constB136, B)))) | ((~less_3(bitIndex2)) | (v90(constB137, bitIndex2) <=> v90(constB136, bitIndex2)))),
% 14.99/10.23 inference(quant_inst,[status(thm)],[])).
% 14.99/10.23 tff(14209,plain,
% 14.99/10.23 ((~![B: $i] : ((~less_3(B)) | (v90(constB137, B) <=> v90(constB136, B)))) | (~less_3(bitIndex2)) | (v90(constB137, bitIndex2) <=> v90(constB136, bitIndex2))),
% 14.99/10.23 inference(modus_ponens,[status(thm)],[14208, 14207])).
% 14.99/10.23 tff(14210,plain,
% 14.99/10.23 (v90(constB137, bitIndex2) <=> v90(constB136, bitIndex2)),
% 14.99/10.23 inference(unit_resolution,[status(thm)],[14209, 413, 14206])).
% 14.99/10.23 tff(14211,plain,
% 14.99/10.23 (nextState(constB135, constB136) <=> nextState(constB135, constB136)),
% 14.99/10.23 inference(rewrite,[status(thm)],[])).
% 14.99/10.23 tff(14212,axiom,(nextState(constB135, constB136)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_135')).
% 14.99/10.23 tff(14213,plain,
% 14.99/10.23 (nextState(constB135, constB136)),
% 14.99/10.23 inference(modus_ponens,[status(thm)],[14212, 14211])).
% 14.99/10.23 tff(14214,plain,
% 14.99/10.23 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB135, constB136)) | (v100(constB136) <=> (~((~v101(constB136)) | (~v110(constB136))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB135, constB136)) | (v100(constB136) <=> (~((~v101(constB136)) | (~v110(constB136))))))),
% 14.99/10.23 inference(rewrite,[status(thm)],[])).
% 14.99/10.23 tff(14215,plain,
% 14.99/10.23 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB135, constB136)) | (v100(constB136) <=> (~((~v101(constB136)) | (~v110(constB136))))))),
% 14.99/10.23 inference(quant_inst,[status(thm)],[])).
% 14.99/10.23 tff(14216,plain,
% 14.99/10.23 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB135, constB136)) | (v100(constB136) <=> (~((~v101(constB136)) | (~v110(constB136)))))),
% 14.99/10.23 inference(modus_ponens,[status(thm)],[14215, 14214])).
% 14.99/10.23 tff(14217,plain,
% 14.99/10.23 (v100(constB136) <=> (~((~v101(constB136)) | (~v110(constB136))))),
% 14.99/10.23 inference(unit_resolution,[status(thm)],[14216, 14213, 430])).
% 14.99/10.23 tff(14218,plain,
% 14.99/10.23 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB135, constB136)) | (v101(constB136) <=> (~((~v1(constB136)) | (~v102(constB136))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB135, constB136)) | (v101(constB136) <=> (~((~v1(constB136)) | (~v102(constB136))))))),
% 14.99/10.23 inference(rewrite,[status(thm)],[])).
% 14.99/10.23 tff(14219,plain,
% 14.99/10.23 (((~nextState(constB135, constB136)) | (v101(constB136) <=> (~((~v102(constB136)) | (~v1(constB136)))))) <=> ((~nextState(constB135, constB136)) | (v101(constB136) <=> (~((~v1(constB136)) | (~v102(constB136))))))),
% 14.99/10.23 inference(rewrite,[status(thm)],[])).
% 14.99/10.23 tff(14220,plain,
% 14.99/10.23 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB135, constB136)) | (v101(constB136) <=> (~((~v102(constB136)) | (~v1(constB136))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB135, constB136)) | (v101(constB136) <=> (~((~v1(constB136)) | (~v102(constB136)))))))),
% 14.99/10.23 inference(monotonicity,[status(thm)],[14219])).
% 14.99/10.23 tff(14221,plain,
% 14.99/10.23 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB135, constB136)) | (v101(constB136) <=> (~((~v102(constB136)) | (~v1(constB136))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB135, constB136)) | (v101(constB136) <=> (~((~v1(constB136)) | (~v102(constB136))))))),
% 14.99/10.23 inference(transitivity,[status(thm)],[14220, 14218])).
% 14.99/10.23 tff(14222,plain,
% 14.99/10.23 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB135, constB136)) | (v101(constB136) <=> (~((~v102(constB136)) | (~v1(constB136))))))),
% 14.99/10.23 inference(quant_inst,[status(thm)],[])).
% 14.99/10.23 tff(14223,plain,
% 14.99/10.23 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB135, constB136)) | (v101(constB136) <=> (~((~v1(constB136)) | (~v102(constB136)))))),
% 14.99/10.23 inference(modus_ponens,[status(thm)],[14222, 14221])).
% 14.99/10.23 tff(14224,plain,
% 14.99/10.23 (v101(constB136) <=> (~((~v1(constB136)) | (~v102(constB136))))),
% 14.99/10.23 inference(unit_resolution,[status(thm)],[14223, 14213, 450])).
% 14.99/10.23 tff(14225,plain,
% 14.99/10.23 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | ((~nextState(constB135, constB136)) | ((~v102(constB136)) <=> v104(constB136)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | (~nextState(constB135, constB136)) | ((~v102(constB136)) <=> v104(constB136)))),
% 14.99/10.23 inference(rewrite,[status(thm)],[])).
% 14.99/10.23 tff(14226,plain,
% 14.99/10.23 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | ((~nextState(constB135, constB136)) | ((~v102(constB136)) <=> v104(constB136)))),
% 14.99/10.23 inference(quant_inst,[status(thm)],[])).
% 14.99/10.23 tff(14227,plain,
% 14.99/10.23 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | (~nextState(constB135, constB136)) | ((~v102(constB136)) <=> v104(constB136))),
% 14.99/10.23 inference(modus_ponens,[status(thm)],[14226, 14225])).
% 14.99/10.23 tff(14228,plain,
% 14.99/10.23 ((~v102(constB136)) <=> v104(constB136)),
% 14.99/10.23 inference(unit_resolution,[status(thm)],[14227, 14213, 512])).
% 14.99/10.23 tff(14229,plain,
% 14.99/10.23 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB135, constB136)) | (v104(constB136) <=> v1(constB135)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | (~nextState(constB135, constB136)) | (v104(constB136) <=> v1(constB135)))),
% 14.99/10.23 inference(rewrite,[status(thm)],[])).
% 14.99/10.23 tff(14230,plain,
% 14.99/10.23 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB135, constB136)) | (v104(constB136) <=> v1(constB135)))),
% 14.99/10.23 inference(quant_inst,[status(thm)],[])).
% 14.99/10.23 tff(14231,plain,
% 14.99/10.23 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | (~nextState(constB135, constB136)) | (v104(constB136) <=> v1(constB135))),
% 14.99/10.23 inference(modus_ponens,[status(thm)],[14230, 14229])).
% 14.99/10.23 tff(14232,plain,
% 14.99/10.23 (v104(constB136) <=> v1(constB135)),
% 14.99/10.23 inference(unit_resolution,[status(thm)],[14231, 14213, 526])).
% 14.99/10.23 tff(14233,plain,
% 14.99/10.23 ((~v1(constB135)) <=> (~v1(constB135))),
% 14.99/10.23 inference(rewrite,[status(thm)],[])).
% 14.99/10.23 tff(14234,axiom,(~v1(constB135)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_135')).
% 14.99/10.23 tff(14235,plain,
% 14.99/10.23 (~v1(constB135)),
% 14.99/10.23 inference(modus_ponens,[status(thm)],[14234, 14233])).
% 14.99/10.23 tff(14236,plain,
% 14.99/10.23 ((~(v104(constB136) <=> v1(constB135))) | (~v104(constB136)) | v1(constB135)),
% 14.99/10.23 inference(tautology,[status(thm)],[])).
% 14.99/10.23 tff(14237,plain,
% 14.99/10.23 ((~(v104(constB136) <=> v1(constB135))) | (~v104(constB136))),
% 14.99/10.23 inference(unit_resolution,[status(thm)],[14236, 14235])).
% 14.99/10.23 tff(14238,plain,
% 14.99/10.24 (~v104(constB136)),
% 14.99/10.24 inference(unit_resolution,[status(thm)],[14237, 14232])).
% 14.99/10.24 tff(14239,plain,
% 14.99/10.24 ((~((~v102(constB136)) <=> v104(constB136))) | v102(constB136) | v104(constB136)),
% 14.99/10.24 inference(tautology,[status(thm)],[])).
% 14.99/10.24 tff(14240,plain,
% 14.99/10.24 (v102(constB136)),
% 14.99/10.24 inference(unit_resolution,[status(thm)],[14239, 14238, 14228])).
% 14.99/10.24 tff(14241,plain,
% 14.99/10.24 (v1(constB136) <=> v1(constB136)),
% 14.99/10.24 inference(rewrite,[status(thm)],[])).
% 14.99/10.24 tff(14242,axiom,(v1(constB136)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_136')).
% 14.99/10.24 tff(14243,plain,
% 14.99/10.24 (v1(constB136)),
% 14.99/10.24 inference(modus_ponens,[status(thm)],[14242, 14241])).
% 14.99/10.24 tff(14244,plain,
% 14.99/10.24 ((~((~v1(constB136)) | (~v102(constB136)))) | (~v1(constB136)) | (~v102(constB136))),
% 14.99/10.24 inference(tautology,[status(thm)],[])).
% 14.99/10.24 tff(14245,plain,
% 14.99/10.24 ((~((~v1(constB136)) | (~v102(constB136)))) | (~v102(constB136))),
% 14.99/10.24 inference(unit_resolution,[status(thm)],[14244, 14243])).
% 14.99/10.24 tff(14246,plain,
% 14.99/10.24 (~((~v1(constB136)) | (~v102(constB136)))),
% 14.99/10.24 inference(unit_resolution,[status(thm)],[14245, 14240])).
% 14.99/10.24 tff(14247,plain,
% 14.99/10.24 ((~(v101(constB136) <=> (~((~v1(constB136)) | (~v102(constB136)))))) | v101(constB136) | ((~v1(constB136)) | (~v102(constB136)))),
% 14.99/10.24 inference(tautology,[status(thm)],[])).
% 14.99/10.24 tff(14248,plain,
% 14.99/10.24 (v101(constB136)),
% 14.99/10.24 inference(unit_resolution,[status(thm)],[14247, 14246, 14224])).
% 14.99/10.24 tff(14249,plain,
% 14.99/10.24 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | ((~nextState(constB135, constB136)) | (v110(constB136) <=> v108(constB135)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | (~nextState(constB135, constB136)) | (v110(constB136) <=> v108(constB135)))),
% 14.99/10.24 inference(rewrite,[status(thm)],[])).
% 14.99/10.24 tff(14250,plain,
% 14.99/10.24 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | ((~nextState(constB135, constB136)) | (v110(constB136) <=> v108(constB135)))),
% 14.99/10.24 inference(quant_inst,[status(thm)],[])).
% 14.99/10.24 tff(14251,plain,
% 14.99/10.24 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | (~nextState(constB135, constB136)) | (v110(constB136) <=> v108(constB135))),
% 14.99/10.24 inference(modus_ponens,[status(thm)],[14250, 14249])).
% 14.99/10.24 tff(14252,plain,
% 14.99/10.24 (v110(constB136) <=> v108(constB135)),
% 14.99/10.24 inference(unit_resolution,[status(thm)],[14251, 14213, 556])).
% 14.99/10.24 tff(14253,plain,
% 14.99/10.24 ((~![VarCurr: $i] : (v108(VarCurr) <=> (v111(VarCurr) | v112(VarCurr)))) | (v108(constB135) <=> (v111(constB135) | v112(constB135)))),
% 14.99/10.24 inference(quant_inst,[status(thm)],[])).
% 14.99/10.24 tff(14254,plain,
% 14.99/10.24 (v108(constB135) <=> (v111(constB135) | v112(constB135))),
% 14.99/10.24 inference(unit_resolution,[status(thm)],[14253, 567])).
% 14.99/10.24 tff(14255,plain,
% 14.99/10.24 ((~![VarCurr: $i] : (v112(VarCurr) <=> (~((~v113(VarCurr)) | (~v126(VarCurr)))))) | (v112(constB135) <=> (~((~v113(constB135)) | (~v126(constB135)))))),
% 14.99/10.24 inference(quant_inst,[status(thm)],[])).
% 14.99/10.24 tff(14256,plain,
% 14.99/10.24 (v112(constB135) <=> (~((~v113(constB135)) | (~v126(constB135))))),
% 14.99/10.24 inference(unit_resolution,[status(thm)],[14255, 579])).
% 14.99/10.24 tff(14257,plain,
% 14.99/10.24 ((~![VarCurr: $i] : (v113(VarCurr) <=> (v114(VarCurr) | v125(VarCurr)))) | (v113(constB135) <=> (v114(constB135) | v125(constB135)))),
% 14.99/10.24 inference(quant_inst,[status(thm)],[])).
% 14.99/10.24 tff(14258,plain,
% 14.99/10.24 (v113(constB135) <=> (v114(constB135) | v125(constB135))),
% 14.99/10.24 inference(unit_resolution,[status(thm)],[14257, 588])).
% 14.99/10.24 tff(14259,plain,
% 14.99/10.24 (((~![VarCurr: $i] : (v125(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2)))))) | (v125(constB135) <=> (~((~v90(constB135, bitIndex2)) | (~v90(constB135, bitIndex1)) | v90(constB135, bitIndex0))))) <=> ((~![VarCurr: $i] : (v125(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2)))))) | (v125(constB135) <=> (~((~v90(constB135, bitIndex2)) | (~v90(constB135, bitIndex1)) | v90(constB135, bitIndex0)))))),
% 14.99/10.24 inference(rewrite,[status(thm)],[])).
% 14.99/10.24 tff(14260,plain,
% 14.99/10.24 ((v125(constB135) <=> (~(v90(constB135, bitIndex0) | (~v90(constB135, bitIndex1)) | (~v90(constB135, bitIndex2))))) <=> (v125(constB135) <=> (~((~v90(constB135, bitIndex2)) | (~v90(constB135, bitIndex1)) | v90(constB135, bitIndex0))))),
% 14.99/10.24 inference(rewrite,[status(thm)],[])).
% 14.99/10.24 tff(14261,plain,
% 14.99/10.24 (((~![VarCurr: $i] : (v125(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2)))))) | (v125(constB135) <=> (~(v90(constB135, bitIndex0) | (~v90(constB135, bitIndex1)) | (~v90(constB135, bitIndex2)))))) <=> ((~![VarCurr: $i] : (v125(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2)))))) | (v125(constB135) <=> (~((~v90(constB135, bitIndex2)) | (~v90(constB135, bitIndex1)) | v90(constB135, bitIndex0)))))),
% 14.99/10.24 inference(monotonicity,[status(thm)],[14260])).
% 14.99/10.24 tff(14262,plain,
% 14.99/10.24 (((~![VarCurr: $i] : (v125(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2)))))) | (v125(constB135) <=> (~(v90(constB135, bitIndex0) | (~v90(constB135, bitIndex1)) | (~v90(constB135, bitIndex2)))))) <=> ((~![VarCurr: $i] : (v125(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2)))))) | (v125(constB135) <=> (~((~v90(constB135, bitIndex2)) | (~v90(constB135, bitIndex1)) | v90(constB135, bitIndex0)))))),
% 14.99/10.24 inference(transitivity,[status(thm)],[14261, 14259])).
% 14.99/10.24 tff(14263,plain,
% 14.99/10.24 ((~![VarCurr: $i] : (v125(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2)))))) | (v125(constB135) <=> (~(v90(constB135, bitIndex0) | (~v90(constB135, bitIndex1)) | (~v90(constB135, bitIndex2)))))),
% 14.99/10.24 inference(quant_inst,[status(thm)],[])).
% 14.99/10.24 tff(14264,plain,
% 14.99/10.24 ((~![VarCurr: $i] : (v125(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2)))))) | (v125(constB135) <=> (~((~v90(constB135, bitIndex2)) | (~v90(constB135, bitIndex1)) | v90(constB135, bitIndex0))))),
% 14.99/10.24 inference(modus_ponens,[status(thm)],[14263, 14262])).
% 14.99/10.24 tff(14265,plain,
% 14.99/10.24 (v125(constB135) <=> (~((~v90(constB135, bitIndex2)) | (~v90(constB135, bitIndex1)) | v90(constB135, bitIndex0)))),
% 14.99/10.24 inference(unit_resolution,[status(thm)],[14264, 1066])).
% 14.99/10.24 tff(14266,plain,
% 14.99/10.24 (nextState(constB134, constB135) <=> nextState(constB134, constB135)),
% 14.99/10.24 inference(rewrite,[status(thm)],[])).
% 14.99/10.24 tff(14267,axiom,(nextState(constB134, constB135)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_134')).
% 14.99/10.24 tff(14268,plain,
% 14.99/10.24 (nextState(constB134, constB135)),
% 14.99/10.24 inference(modus_ponens,[status(thm)],[14267, 14266])).
% 14.99/10.24 tff(14269,plain,
% 14.99/10.24 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB134, constB135)) | (v100(constB135) <=> (~((~v101(constB135)) | (~v110(constB135))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB134, constB135)) | (v100(constB135) <=> (~((~v101(constB135)) | (~v110(constB135))))))),
% 14.99/10.24 inference(rewrite,[status(thm)],[])).
% 14.99/10.24 tff(14270,plain,
% 14.99/10.24 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB134, constB135)) | (v100(constB135) <=> (~((~v101(constB135)) | (~v110(constB135))))))),
% 14.99/10.24 inference(quant_inst,[status(thm)],[])).
% 14.99/10.24 tff(14271,plain,
% 14.99/10.24 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB134, constB135)) | (v100(constB135) <=> (~((~v101(constB135)) | (~v110(constB135)))))),
% 14.99/10.24 inference(modus_ponens,[status(thm)],[14270, 14269])).
% 14.99/10.24 tff(14272,plain,
% 14.99/10.24 (v100(constB135) <=> (~((~v101(constB135)) | (~v110(constB135))))),
% 14.99/10.24 inference(unit_resolution,[status(thm)],[14271, 14268, 430])).
% 14.99/10.24 tff(14273,plain,
% 14.99/10.24 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB134, constB135)) | (v101(constB135) <=> (~((~v1(constB135)) | (~v102(constB135))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB134, constB135)) | (v101(constB135) <=> (~((~v1(constB135)) | (~v102(constB135))))))),
% 14.99/10.24 inference(rewrite,[status(thm)],[])).
% 14.99/10.24 tff(14274,plain,
% 14.99/10.24 (((~nextState(constB134, constB135)) | (v101(constB135) <=> (~((~v102(constB135)) | (~v1(constB135)))))) <=> ((~nextState(constB134, constB135)) | (v101(constB135) <=> (~((~v1(constB135)) | (~v102(constB135))))))),
% 14.99/10.24 inference(rewrite,[status(thm)],[])).
% 14.99/10.24 tff(14275,plain,
% 14.99/10.24 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB134, constB135)) | (v101(constB135) <=> (~((~v102(constB135)) | (~v1(constB135))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB134, constB135)) | (v101(constB135) <=> (~((~v1(constB135)) | (~v102(constB135)))))))),
% 14.99/10.24 inference(monotonicity,[status(thm)],[14274])).
% 14.99/10.24 tff(14276,plain,
% 14.99/10.24 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB134, constB135)) | (v101(constB135) <=> (~((~v102(constB135)) | (~v1(constB135))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB134, constB135)) | (v101(constB135) <=> (~((~v1(constB135)) | (~v102(constB135))))))),
% 14.99/10.24 inference(transitivity,[status(thm)],[14275, 14273])).
% 14.99/10.24 tff(14277,plain,
% 14.99/10.24 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB134, constB135)) | (v101(constB135) <=> (~((~v102(constB135)) | (~v1(constB135))))))),
% 14.99/10.24 inference(quant_inst,[status(thm)],[])).
% 14.99/10.24 tff(14278,plain,
% 14.99/10.24 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB134, constB135)) | (v101(constB135) <=> (~((~v1(constB135)) | (~v102(constB135)))))),
% 14.99/10.24 inference(modus_ponens,[status(thm)],[14277, 14276])).
% 14.99/10.24 tff(14279,plain,
% 14.99/10.24 (v101(constB135) <=> (~((~v1(constB135)) | (~v102(constB135))))),
% 14.99/10.24 inference(unit_resolution,[status(thm)],[14278, 14268, 450])).
% 14.99/10.24 tff(14280,plain,
% 14.99/10.24 (((~v1(constB135)) | (~v102(constB135))) | v1(constB135)),
% 14.99/10.24 inference(tautology,[status(thm)],[])).
% 14.99/10.24 tff(14281,plain,
% 14.99/10.24 ((~v1(constB135)) | (~v102(constB135))),
% 14.99/10.24 inference(unit_resolution,[status(thm)],[14280, 14235])).
% 14.99/10.24 tff(14282,plain,
% 14.99/10.24 ((~(v101(constB135) <=> (~((~v1(constB135)) | (~v102(constB135)))))) | (~v101(constB135)) | (~((~v1(constB135)) | (~v102(constB135))))),
% 14.99/10.24 inference(tautology,[status(thm)],[])).
% 14.99/10.24 tff(14283,plain,
% 14.99/10.24 ((~(v101(constB135) <=> (~((~v1(constB135)) | (~v102(constB135)))))) | (~v101(constB135))),
% 14.99/10.24 inference(unit_resolution,[status(thm)],[14282, 14281])).
% 14.99/10.24 tff(14284,plain,
% 14.99/10.24 (~v101(constB135)),
% 14.99/10.24 inference(unit_resolution,[status(thm)],[14283, 14279])).
% 14.99/10.24 tff(14285,plain,
% 14.99/10.24 (((~v101(constB135)) | (~v110(constB135))) | v101(constB135)),
% 14.99/10.24 inference(tautology,[status(thm)],[])).
% 14.99/10.24 tff(14286,plain,
% 14.99/10.24 ((~v101(constB135)) | (~v110(constB135))),
% 14.99/10.24 inference(unit_resolution,[status(thm)],[14285, 14284])).
% 14.99/10.24 tff(14287,plain,
% 14.99/10.24 ((~(v100(constB135) <=> (~((~v101(constB135)) | (~v110(constB135)))))) | (~v100(constB135)) | (~((~v101(constB135)) | (~v110(constB135))))),
% 14.99/10.24 inference(tautology,[status(thm)],[])).
% 14.99/10.24 tff(14288,plain,
% 14.99/10.24 (~v100(constB135)),
% 14.99/10.24 inference(unit_resolution,[status(thm)],[14287, 14286, 14272])).
% 14.99/10.24 tff(14289,plain,
% 14.99/10.24 (((~![VarCurr: $i, VarNext: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v90(VarCurr, B))))) | (v100(constB135) | (~nextState(constB134, constB135)) | ![B: $i] : ((~less_3(B)) | (v90(constB135, B) <=> v90(constB134, B))))) <=> ((~![VarCurr: $i, VarNext: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v90(VarCurr, B))))) | v100(constB135) | (~nextState(constB134, constB135)) | ![B: $i] : ((~less_3(B)) | (v90(constB135, B) <=> v90(constB134, B))))),
% 14.99/10.24 inference(rewrite,[status(thm)],[])).
% 14.99/10.24 tff(14290,plain,
% 14.99/10.24 ((~![VarCurr: $i, VarNext: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v90(VarCurr, B))))) | (v100(constB135) | (~nextState(constB134, constB135)) | ![B: $i] : ((~less_3(B)) | (v90(constB135, B) <=> v90(constB134, B))))),
% 14.99/10.24 inference(quant_inst,[status(thm)],[])).
% 14.99/10.24 tff(14291,plain,
% 14.99/10.24 ((~![VarCurr: $i, VarNext: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v90(VarCurr, B))))) | v100(constB135) | (~nextState(constB134, constB135)) | ![B: $i] : ((~less_3(B)) | (v90(constB135, B) <=> v90(constB134, B)))),
% 14.99/10.24 inference(modus_ponens,[status(thm)],[14290, 14289])).
% 14.99/10.24 tff(14292,plain,
% 14.99/10.24 (v100(constB135) | ![B: $i] : ((~less_3(B)) | (v90(constB135, B) <=> v90(constB134, B)))),
% 14.99/10.24 inference(unit_resolution,[status(thm)],[14291, 14268, 479])).
% 14.99/10.24 tff(14293,plain,
% 14.99/10.24 (![B: $i] : ((~less_3(B)) | (v90(constB135, B) <=> v90(constB134, B)))),
% 14.99/10.24 inference(unit_resolution,[status(thm)],[14292, 14288])).
% 14.99/10.24 tff(14294,plain,
% 14.99/10.24 (((~![B: $i] : ((~less_3(B)) | (v90(constB135, B) <=> v90(constB134, B)))) | ((~less_3(bitIndex2)) | (v90(constB135, bitIndex2) <=> v90(constB134, bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v90(constB135, B) <=> v90(constB134, B)))) | (~less_3(bitIndex2)) | (v90(constB135, bitIndex2) <=> v90(constB134, bitIndex2)))),
% 14.99/10.24 inference(rewrite,[status(thm)],[])).
% 14.99/10.24 tff(14295,plain,
% 14.99/10.24 ((~![B: $i] : ((~less_3(B)) | (v90(constB135, B) <=> v90(constB134, B)))) | ((~less_3(bitIndex2)) | (v90(constB135, bitIndex2) <=> v90(constB134, bitIndex2)))),
% 14.99/10.24 inference(quant_inst,[status(thm)],[])).
% 14.99/10.24 tff(14296,plain,
% 14.99/10.24 ((~![B: $i] : ((~less_3(B)) | (v90(constB135, B) <=> v90(constB134, B)))) | (~less_3(bitIndex2)) | (v90(constB135, bitIndex2) <=> v90(constB134, bitIndex2))),
% 14.99/10.24 inference(modus_ponens,[status(thm)],[14295, 14294])).
% 14.99/10.24 tff(14297,plain,
% 14.99/10.24 (v90(constB135, bitIndex2) <=> v90(constB134, bitIndex2)),
% 14.99/10.24 inference(unit_resolution,[status(thm)],[14296, 413, 14293])).
% 14.99/10.24 tff(14298,plain,
% 14.99/10.24 (nextState(constB133, constB134) <=> nextState(constB133, constB134)),
% 14.99/10.24 inference(rewrite,[status(thm)],[])).
% 14.99/10.24 tff(14299,axiom,(nextState(constB133, constB134)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_133')).
% 14.99/10.24 tff(14300,plain,
% 14.99/10.24 (nextState(constB133, constB134)),
% 14.99/10.24 inference(modus_ponens,[status(thm)],[14299, 14298])).
% 14.99/10.24 tff(14301,plain,
% 14.99/10.24 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB133, constB134)) | (v100(constB134) <=> (~((~v101(constB134)) | (~v110(constB134))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB133, constB134)) | (v100(constB134) <=> (~((~v101(constB134)) | (~v110(constB134))))))),
% 14.99/10.24 inference(rewrite,[status(thm)],[])).
% 14.99/10.24 tff(14302,plain,
% 14.99/10.24 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB133, constB134)) | (v100(constB134) <=> (~((~v101(constB134)) | (~v110(constB134))))))),
% 14.99/10.24 inference(quant_inst,[status(thm)],[])).
% 14.99/10.24 tff(14303,plain,
% 14.99/10.24 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB133, constB134)) | (v100(constB134) <=> (~((~v101(constB134)) | (~v110(constB134)))))),
% 14.99/10.24 inference(modus_ponens,[status(thm)],[14302, 14301])).
% 14.99/10.24 tff(14304,plain,
% 14.99/10.24 (v100(constB134) <=> (~((~v101(constB134)) | (~v110(constB134))))),
% 14.99/10.24 inference(unit_resolution,[status(thm)],[14303, 14300, 430])).
% 14.99/10.24 tff(14305,plain,
% 14.99/10.24 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB133, constB134)) | (v101(constB134) <=> (~((~v1(constB134)) | (~v102(constB134))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB133, constB134)) | (v101(constB134) <=> (~((~v1(constB134)) | (~v102(constB134))))))),
% 14.99/10.24 inference(rewrite,[status(thm)],[])).
% 14.99/10.24 tff(14306,plain,
% 14.99/10.24 (((~nextState(constB133, constB134)) | (v101(constB134) <=> (~((~v102(constB134)) | (~v1(constB134)))))) <=> ((~nextState(constB133, constB134)) | (v101(constB134) <=> (~((~v1(constB134)) | (~v102(constB134))))))),
% 14.99/10.24 inference(rewrite,[status(thm)],[])).
% 14.99/10.24 tff(14307,plain,
% 14.99/10.24 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB133, constB134)) | (v101(constB134) <=> (~((~v102(constB134)) | (~v1(constB134))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB133, constB134)) | (v101(constB134) <=> (~((~v1(constB134)) | (~v102(constB134)))))))),
% 14.99/10.24 inference(monotonicity,[status(thm)],[14306])).
% 14.99/10.24 tff(14308,plain,
% 14.99/10.24 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB133, constB134)) | (v101(constB134) <=> (~((~v102(constB134)) | (~v1(constB134))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB133, constB134)) | (v101(constB134) <=> (~((~v1(constB134)) | (~v102(constB134))))))),
% 14.99/10.24 inference(transitivity,[status(thm)],[14307, 14305])).
% 14.99/10.24 tff(14309,plain,
% 14.99/10.24 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB133, constB134)) | (v101(constB134) <=> (~((~v102(constB134)) | (~v1(constB134))))))),
% 14.99/10.24 inference(quant_inst,[status(thm)],[])).
% 14.99/10.24 tff(14310,plain,
% 14.99/10.24 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB133, constB134)) | (v101(constB134) <=> (~((~v1(constB134)) | (~v102(constB134)))))),
% 14.99/10.24 inference(modus_ponens,[status(thm)],[14309, 14308])).
% 14.99/10.24 tff(14311,plain,
% 14.99/10.24 (v101(constB134) <=> (~((~v1(constB134)) | (~v102(constB134))))),
% 14.99/10.24 inference(unit_resolution,[status(thm)],[14310, 14300, 450])).
% 14.99/10.24 tff(14312,plain,
% 14.99/10.24 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | ((~nextState(constB133, constB134)) | ((~v102(constB134)) <=> v104(constB134)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | (~nextState(constB133, constB134)) | ((~v102(constB134)) <=> v104(constB134)))),
% 14.99/10.24 inference(rewrite,[status(thm)],[])).
% 14.99/10.24 tff(14313,plain,
% 14.99/10.24 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | ((~nextState(constB133, constB134)) | ((~v102(constB134)) <=> v104(constB134)))),
% 14.99/10.24 inference(quant_inst,[status(thm)],[])).
% 14.99/10.24 tff(14314,plain,
% 14.99/10.24 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | (~nextState(constB133, constB134)) | ((~v102(constB134)) <=> v104(constB134))),
% 14.99/10.24 inference(modus_ponens,[status(thm)],[14313, 14312])).
% 14.99/10.24 tff(14315,plain,
% 14.99/10.24 ((~v102(constB134)) <=> v104(constB134)),
% 14.99/10.24 inference(unit_resolution,[status(thm)],[14314, 14300, 512])).
% 14.99/10.24 tff(14316,plain,
% 14.99/10.24 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB133, constB134)) | (v104(constB134) <=> v1(constB133)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | (~nextState(constB133, constB134)) | (v104(constB134) <=> v1(constB133)))),
% 14.99/10.24 inference(rewrite,[status(thm)],[])).
% 14.99/10.24 tff(14317,plain,
% 14.99/10.24 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB133, constB134)) | (v104(constB134) <=> v1(constB133)))),
% 14.99/10.24 inference(quant_inst,[status(thm)],[])).
% 14.99/10.24 tff(14318,plain,
% 14.99/10.24 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | (~nextState(constB133, constB134)) | (v104(constB134) <=> v1(constB133))),
% 14.99/10.24 inference(modus_ponens,[status(thm)],[14317, 14316])).
% 14.99/10.24 tff(14319,plain,
% 14.99/10.24 (v104(constB134) <=> v1(constB133)),
% 14.99/10.24 inference(unit_resolution,[status(thm)],[14318, 14300, 526])).
% 14.99/10.24 tff(14320,plain,
% 14.99/10.24 ((~v1(constB133)) <=> (~v1(constB133))),
% 14.99/10.24 inference(rewrite,[status(thm)],[])).
% 14.99/10.24 tff(14321,axiom,(~v1(constB133)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_133')).
% 14.99/10.24 tff(14322,plain,
% 14.99/10.24 (~v1(constB133)),
% 14.99/10.24 inference(modus_ponens,[status(thm)],[14321, 14320])).
% 14.99/10.24 tff(14323,plain,
% 14.99/10.24 ((~(v104(constB134) <=> v1(constB133))) | (~v104(constB134)) | v1(constB133)),
% 14.99/10.24 inference(tautology,[status(thm)],[])).
% 14.99/10.24 tff(14324,plain,
% 14.99/10.24 ((~(v104(constB134) <=> v1(constB133))) | (~v104(constB134))),
% 14.99/10.24 inference(unit_resolution,[status(thm)],[14323, 14322])).
% 14.99/10.24 tff(14325,plain,
% 14.99/10.24 (~v104(constB134)),
% 14.99/10.24 inference(unit_resolution,[status(thm)],[14324, 14319])).
% 14.99/10.24 tff(14326,plain,
% 14.99/10.24 ((~((~v102(constB134)) <=> v104(constB134))) | v102(constB134) | v104(constB134)),
% 14.99/10.24 inference(tautology,[status(thm)],[])).
% 14.99/10.24 tff(14327,plain,
% 14.99/10.24 (v102(constB134)),
% 14.99/10.24 inference(unit_resolution,[status(thm)],[14326, 14325, 14315])).
% 14.99/10.24 tff(14328,plain,
% 14.99/10.24 (v1(constB134) <=> v1(constB134)),
% 14.99/10.24 inference(rewrite,[status(thm)],[])).
% 14.99/10.24 tff(14329,axiom,(v1(constB134)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_134')).
% 14.99/10.24 tff(14330,plain,
% 14.99/10.24 (v1(constB134)),
% 14.99/10.24 inference(modus_ponens,[status(thm)],[14329, 14328])).
% 14.99/10.24 tff(14331,plain,
% 14.99/10.24 ((~((~v1(constB134)) | (~v102(constB134)))) | (~v1(constB134)) | (~v102(constB134))),
% 14.99/10.24 inference(tautology,[status(thm)],[])).
% 14.99/10.24 tff(14332,plain,
% 14.99/10.24 ((~((~v1(constB134)) | (~v102(constB134)))) | (~v102(constB134))),
% 14.99/10.24 inference(unit_resolution,[status(thm)],[14331, 14330])).
% 14.99/10.24 tff(14333,plain,
% 14.99/10.24 (~((~v1(constB134)) | (~v102(constB134)))),
% 14.99/10.24 inference(unit_resolution,[status(thm)],[14332, 14327])).
% 14.99/10.24 tff(14334,plain,
% 14.99/10.24 ((~(v101(constB134) <=> (~((~v1(constB134)) | (~v102(constB134)))))) | v101(constB134) | ((~v1(constB134)) | (~v102(constB134)))),
% 14.99/10.24 inference(tautology,[status(thm)],[])).
% 14.99/10.24 tff(14335,plain,
% 14.99/10.24 (v101(constB134)),
% 14.99/10.24 inference(unit_resolution,[status(thm)],[14334, 14333, 14311])).
% 14.99/10.24 tff(14336,plain,
% 14.99/10.24 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | ((~nextState(constB133, constB134)) | (v110(constB134) <=> v108(constB133)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | (~nextState(constB133, constB134)) | (v110(constB134) <=> v108(constB133)))),
% 14.99/10.24 inference(rewrite,[status(thm)],[])).
% 14.99/10.24 tff(14337,plain,
% 14.99/10.24 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | ((~nextState(constB133, constB134)) | (v110(constB134) <=> v108(constB133)))),
% 14.99/10.24 inference(quant_inst,[status(thm)],[])).
% 14.99/10.24 tff(14338,plain,
% 14.99/10.24 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | (~nextState(constB133, constB134)) | (v110(constB134) <=> v108(constB133))),
% 14.99/10.24 inference(modus_ponens,[status(thm)],[14337, 14336])).
% 14.99/10.24 tff(14339,plain,
% 14.99/10.24 (v110(constB134) <=> v108(constB133)),
% 14.99/10.24 inference(unit_resolution,[status(thm)],[14338, 14300, 556])).
% 14.99/10.24 tff(14340,plain,
% 14.99/10.24 ((~![VarCurr: $i] : (v108(VarCurr) <=> (v111(VarCurr) | v112(VarCurr)))) | (v108(constB133) <=> (v111(constB133) | v112(constB133)))),
% 14.99/10.24 inference(quant_inst,[status(thm)],[])).
% 14.99/10.24 tff(14341,plain,
% 14.99/10.24 (v108(constB133) <=> (v111(constB133) | v112(constB133))),
% 14.99/10.24 inference(unit_resolution,[status(thm)],[14340, 567])).
% 14.99/10.24 tff(14342,plain,
% 14.99/10.24 ((~![VarCurr: $i] : (v112(VarCurr) <=> (~((~v113(VarCurr)) | (~v126(VarCurr)))))) | (v112(constB133) <=> (~((~v113(constB133)) | (~v126(constB133)))))),
% 14.99/10.24 inference(quant_inst,[status(thm)],[])).
% 14.99/10.24 tff(14343,plain,
% 14.99/10.24 (v112(constB133) <=> (~((~v113(constB133)) | (~v126(constB133))))),
% 14.99/10.24 inference(unit_resolution,[status(thm)],[14342, 579])).
% 14.99/10.24 tff(14344,plain,
% 14.99/10.24 ((~![VarCurr: $i] : (v113(VarCurr) <=> (v114(VarCurr) | v125(VarCurr)))) | (v113(constB133) <=> (v114(constB133) | v125(constB133)))),
% 14.99/10.24 inference(quant_inst,[status(thm)],[])).
% 14.99/10.24 tff(14345,plain,
% 14.99/10.24 (v113(constB133) <=> (v114(constB133) | v125(constB133))),
% 14.99/10.24 inference(unit_resolution,[status(thm)],[14344, 588])).
% 14.99/10.24 tff(14346,plain,
% 14.99/10.24 ((~![VarCurr: $i] : (v114(VarCurr) <=> (v115(VarCurr) | v124(VarCurr)))) | (v114(constB133) <=> (v115(constB133) | v124(constB133)))),
% 14.99/10.24 inference(quant_inst,[status(thm)],[])).
% 14.99/10.24 tff(14347,plain,
% 14.99/10.24 (v114(constB133) <=> (v115(constB133) | v124(constB133))),
% 14.99/10.24 inference(unit_resolution,[status(thm)],[14346, 597])).
% 14.99/10.24 tff(14348,plain,
% 14.99/10.24 ((~![VarCurr: $i] : (v115(VarCurr) <=> (v116(VarCurr) | v123(VarCurr)))) | (v115(constB133) <=> (v116(constB133) | v123(constB133)))),
% 14.99/10.24 inference(quant_inst,[status(thm)],[])).
% 14.99/10.24 tff(14349,plain,
% 14.99/10.24 (v115(constB133) <=> (v116(constB133) | v123(constB133))),
% 14.99/10.24 inference(unit_resolution,[status(thm)],[14348, 606])).
% 14.99/10.24 tff(14350,plain,
% 14.99/10.24 (((~![VarCurr: $i] : (v123(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)))))) | (v123(constB133) <=> (~((~v90(constB133, bitIndex2)) | v90(constB133, bitIndex1) | v90(constB133, bitIndex0))))) <=> ((~![VarCurr: $i] : (v123(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)))))) | (v123(constB133) <=> (~((~v90(constB133, bitIndex2)) | v90(constB133, bitIndex1) | v90(constB133, bitIndex0)))))),
% 14.99/10.24 inference(rewrite,[status(thm)],[])).
% 14.99/10.24 tff(14351,plain,
% 14.99/10.24 ((v123(constB133) <=> (~(v90(constB133, bitIndex0) | v90(constB133, bitIndex1) | (~v90(constB133, bitIndex2))))) <=> (v123(constB133) <=> (~((~v90(constB133, bitIndex2)) | v90(constB133, bitIndex1) | v90(constB133, bitIndex0))))),
% 14.99/10.24 inference(rewrite,[status(thm)],[])).
% 14.99/10.24 tff(14352,plain,
% 14.99/10.24 (((~![VarCurr: $i] : (v123(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)))))) | (v123(constB133) <=> (~(v90(constB133, bitIndex0) | v90(constB133, bitIndex1) | (~v90(constB133, bitIndex2)))))) <=> ((~![VarCurr: $i] : (v123(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)))))) | (v123(constB133) <=> (~((~v90(constB133, bitIndex2)) | v90(constB133, bitIndex1) | v90(constB133, bitIndex0)))))),
% 14.99/10.24 inference(monotonicity,[status(thm)],[14351])).
% 14.99/10.24 tff(14353,plain,
% 14.99/10.24 (((~![VarCurr: $i] : (v123(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)))))) | (v123(constB133) <=> (~(v90(constB133, bitIndex0) | v90(constB133, bitIndex1) | (~v90(constB133, bitIndex2)))))) <=> ((~![VarCurr: $i] : (v123(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)))))) | (v123(constB133) <=> (~((~v90(constB133, bitIndex2)) | v90(constB133, bitIndex1) | v90(constB133, bitIndex0)))))),
% 14.99/10.24 inference(transitivity,[status(thm)],[14352, 14350])).
% 14.99/10.24 tff(14354,plain,
% 14.99/10.24 ((~![VarCurr: $i] : (v123(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)))))) | (v123(constB133) <=> (~(v90(constB133, bitIndex0) | v90(constB133, bitIndex1) | (~v90(constB133, bitIndex2)))))),
% 14.99/10.24 inference(quant_inst,[status(thm)],[])).
% 14.99/10.24 tff(14355,plain,
% 14.99/10.24 ((~![VarCurr: $i] : (v123(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)))))) | (v123(constB133) <=> (~((~v90(constB133, bitIndex2)) | v90(constB133, bitIndex1) | v90(constB133, bitIndex0))))),
% 14.99/10.24 inference(modus_ponens,[status(thm)],[14354, 14353])).
% 14.99/10.24 tff(14356,plain,
% 14.99/10.24 (v123(constB133) <=> (~((~v90(constB133, bitIndex2)) | v90(constB133, bitIndex1) | v90(constB133, bitIndex0)))),
% 14.99/10.24 inference(unit_resolution,[status(thm)],[14355, 621])).
% 14.99/10.24 tff(14357,plain,
% 14.99/10.24 (nextState(constB132, constB133) <=> nextState(constB132, constB133)),
% 14.99/10.24 inference(rewrite,[status(thm)],[])).
% 14.99/10.24 tff(14358,axiom,(nextState(constB132, constB133)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_132')).
% 14.99/10.24 tff(14359,plain,
% 14.99/10.24 (nextState(constB132, constB133)),
% 14.99/10.24 inference(modus_ponens,[status(thm)],[14358, 14357])).
% 14.99/10.24 tff(14360,plain,
% 14.99/10.24 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB132, constB133)) | (v100(constB133) <=> (~((~v101(constB133)) | (~v110(constB133))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB132, constB133)) | (v100(constB133) <=> (~((~v101(constB133)) | (~v110(constB133))))))),
% 14.99/10.24 inference(rewrite,[status(thm)],[])).
% 14.99/10.24 tff(14361,plain,
% 14.99/10.24 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB132, constB133)) | (v100(constB133) <=> (~((~v101(constB133)) | (~v110(constB133))))))),
% 14.99/10.24 inference(quant_inst,[status(thm)],[])).
% 14.99/10.24 tff(14362,plain,
% 14.99/10.24 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB132, constB133)) | (v100(constB133) <=> (~((~v101(constB133)) | (~v110(constB133)))))),
% 14.99/10.24 inference(modus_ponens,[status(thm)],[14361, 14360])).
% 14.99/10.24 tff(14363,plain,
% 14.99/10.24 (v100(constB133) <=> (~((~v101(constB133)) | (~v110(constB133))))),
% 14.99/10.24 inference(unit_resolution,[status(thm)],[14362, 14359, 430])).
% 14.99/10.24 tff(14364,plain,
% 14.99/10.24 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB132, constB133)) | (v101(constB133) <=> (~((~v1(constB133)) | (~v102(constB133))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB132, constB133)) | (v101(constB133) <=> (~((~v1(constB133)) | (~v102(constB133))))))),
% 14.99/10.24 inference(rewrite,[status(thm)],[])).
% 14.99/10.24 tff(14365,plain,
% 14.99/10.24 (((~nextState(constB132, constB133)) | (v101(constB133) <=> (~((~v102(constB133)) | (~v1(constB133)))))) <=> ((~nextState(constB132, constB133)) | (v101(constB133) <=> (~((~v1(constB133)) | (~v102(constB133))))))),
% 14.99/10.24 inference(rewrite,[status(thm)],[])).
% 14.99/10.24 tff(14366,plain,
% 14.99/10.24 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB132, constB133)) | (v101(constB133) <=> (~((~v102(constB133)) | (~v1(constB133))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB132, constB133)) | (v101(constB133) <=> (~((~v1(constB133)) | (~v102(constB133)))))))),
% 14.99/10.25 inference(monotonicity,[status(thm)],[14365])).
% 14.99/10.25 tff(14367,plain,
% 14.99/10.25 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB132, constB133)) | (v101(constB133) <=> (~((~v102(constB133)) | (~v1(constB133))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB132, constB133)) | (v101(constB133) <=> (~((~v1(constB133)) | (~v102(constB133))))))),
% 14.99/10.25 inference(transitivity,[status(thm)],[14366, 14364])).
% 14.99/10.25 tff(14368,plain,
% 14.99/10.25 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB132, constB133)) | (v101(constB133) <=> (~((~v102(constB133)) | (~v1(constB133))))))),
% 14.99/10.25 inference(quant_inst,[status(thm)],[])).
% 14.99/10.25 tff(14369,plain,
% 14.99/10.25 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB132, constB133)) | (v101(constB133) <=> (~((~v1(constB133)) | (~v102(constB133)))))),
% 14.99/10.25 inference(modus_ponens,[status(thm)],[14368, 14367])).
% 14.99/10.25 tff(14370,plain,
% 14.99/10.25 (v101(constB133) <=> (~((~v1(constB133)) | (~v102(constB133))))),
% 14.99/10.25 inference(unit_resolution,[status(thm)],[14369, 14359, 450])).
% 14.99/10.25 tff(14371,plain,
% 14.99/10.25 (((~v1(constB133)) | (~v102(constB133))) | v1(constB133)),
% 14.99/10.25 inference(tautology,[status(thm)],[])).
% 14.99/10.25 tff(14372,plain,
% 14.99/10.25 ((~v1(constB133)) | (~v102(constB133))),
% 14.99/10.25 inference(unit_resolution,[status(thm)],[14371, 14322])).
% 14.99/10.25 tff(14373,plain,
% 14.99/10.25 ((~(v101(constB133) <=> (~((~v1(constB133)) | (~v102(constB133)))))) | (~v101(constB133)) | (~((~v1(constB133)) | (~v102(constB133))))),
% 14.99/10.25 inference(tautology,[status(thm)],[])).
% 14.99/10.25 tff(14374,plain,
% 14.99/10.25 ((~(v101(constB133) <=> (~((~v1(constB133)) | (~v102(constB133)))))) | (~v101(constB133))),
% 14.99/10.25 inference(unit_resolution,[status(thm)],[14373, 14372])).
% 14.99/10.25 tff(14375,plain,
% 14.99/10.25 (~v101(constB133)),
% 14.99/10.25 inference(unit_resolution,[status(thm)],[14374, 14370])).
% 14.99/10.25 tff(14376,plain,
% 14.99/10.25 (((~v101(constB133)) | (~v110(constB133))) | v101(constB133)),
% 14.99/10.25 inference(tautology,[status(thm)],[])).
% 14.99/10.25 tff(14377,plain,
% 14.99/10.25 ((~v101(constB133)) | (~v110(constB133))),
% 14.99/10.25 inference(unit_resolution,[status(thm)],[14376, 14375])).
% 14.99/10.25 tff(14378,plain,
% 14.99/10.25 ((~(v100(constB133) <=> (~((~v101(constB133)) | (~v110(constB133)))))) | (~v100(constB133)) | (~((~v101(constB133)) | (~v110(constB133))))),
% 14.99/10.25 inference(tautology,[status(thm)],[])).
% 14.99/10.25 tff(14379,plain,
% 14.99/10.25 (~v100(constB133)),
% 14.99/10.25 inference(unit_resolution,[status(thm)],[14378, 14377, 14363])).
% 14.99/10.25 tff(14380,plain,
% 14.99/10.25 (((~![VarCurr: $i, VarNext: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v90(VarCurr, B))))) | (v100(constB133) | (~nextState(constB132, constB133)) | ![B: $i] : ((~less_3(B)) | (v90(constB133, B) <=> v90(constB132, B))))) <=> ((~![VarCurr: $i, VarNext: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v90(VarCurr, B))))) | v100(constB133) | (~nextState(constB132, constB133)) | ![B: $i] : ((~less_3(B)) | (v90(constB133, B) <=> v90(constB132, B))))),
% 14.99/10.25 inference(rewrite,[status(thm)],[])).
% 14.99/10.25 tff(14381,plain,
% 14.99/10.25 ((~![VarCurr: $i, VarNext: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v90(VarCurr, B))))) | (v100(constB133) | (~nextState(constB132, constB133)) | ![B: $i] : ((~less_3(B)) | (v90(constB133, B) <=> v90(constB132, B))))),
% 14.99/10.25 inference(quant_inst,[status(thm)],[])).
% 14.99/10.25 tff(14382,plain,
% 14.99/10.25 ((~![VarCurr: $i, VarNext: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v90(VarCurr, B))))) | v100(constB133) | (~nextState(constB132, constB133)) | ![B: $i] : ((~less_3(B)) | (v90(constB133, B) <=> v90(constB132, B)))),
% 14.99/10.25 inference(modus_ponens,[status(thm)],[14381, 14380])).
% 14.99/10.25 tff(14383,plain,
% 14.99/10.25 (v100(constB133) | ![B: $i] : ((~less_3(B)) | (v90(constB133, B) <=> v90(constB132, B)))),
% 14.99/10.25 inference(unit_resolution,[status(thm)],[14382, 14359, 479])).
% 14.99/10.25 tff(14384,plain,
% 14.99/10.25 (![B: $i] : ((~less_3(B)) | (v90(constB133, B) <=> v90(constB132, B)))),
% 14.99/10.25 inference(unit_resolution,[status(thm)],[14383, 14379])).
% 14.99/10.25 tff(14385,plain,
% 14.99/10.25 (((~![B: $i] : ((~less_3(B)) | (v90(constB133, B) <=> v90(constB132, B)))) | ((~less_3(bitIndex2)) | (v90(constB133, bitIndex2) <=> v90(constB132, bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v90(constB133, B) <=> v90(constB132, B)))) | (~less_3(bitIndex2)) | (v90(constB133, bitIndex2) <=> v90(constB132, bitIndex2)))),
% 14.99/10.25 inference(rewrite,[status(thm)],[])).
% 14.99/10.25 tff(14386,plain,
% 14.99/10.25 ((~![B: $i] : ((~less_3(B)) | (v90(constB133, B) <=> v90(constB132, B)))) | ((~less_3(bitIndex2)) | (v90(constB133, bitIndex2) <=> v90(constB132, bitIndex2)))),
% 14.99/10.25 inference(quant_inst,[status(thm)],[])).
% 14.99/10.25 tff(14387,plain,
% 14.99/10.25 ((~![B: $i] : ((~less_3(B)) | (v90(constB133, B) <=> v90(constB132, B)))) | (~less_3(bitIndex2)) | (v90(constB133, bitIndex2) <=> v90(constB132, bitIndex2))),
% 14.99/10.25 inference(modus_ponens,[status(thm)],[14386, 14385])).
% 14.99/10.25 tff(14388,plain,
% 14.99/10.25 (v90(constB133, bitIndex2) <=> v90(constB132, bitIndex2)),
% 14.99/10.25 inference(unit_resolution,[status(thm)],[14387, 413, 14384])).
% 14.99/10.25 tff(14389,plain,
% 14.99/10.25 (nextState(constB131, constB132) <=> nextState(constB131, constB132)),
% 14.99/10.25 inference(rewrite,[status(thm)],[])).
% 14.99/10.25 tff(14390,axiom,(nextState(constB131, constB132)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_131')).
% 14.99/10.25 tff(14391,plain,
% 14.99/10.25 (nextState(constB131, constB132)),
% 14.99/10.25 inference(modus_ponens,[status(thm)],[14390, 14389])).
% 14.99/10.25 tff(14392,plain,
% 14.99/10.25 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB131, constB132)) | (v100(constB132) <=> (~((~v101(constB132)) | (~v110(constB132))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB131, constB132)) | (v100(constB132) <=> (~((~v101(constB132)) | (~v110(constB132))))))),
% 14.99/10.25 inference(rewrite,[status(thm)],[])).
% 14.99/10.25 tff(14393,plain,
% 14.99/10.25 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB131, constB132)) | (v100(constB132) <=> (~((~v101(constB132)) | (~v110(constB132))))))),
% 14.99/10.25 inference(quant_inst,[status(thm)],[])).
% 14.99/10.25 tff(14394,plain,
% 14.99/10.25 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB131, constB132)) | (v100(constB132) <=> (~((~v101(constB132)) | (~v110(constB132)))))),
% 14.99/10.25 inference(modus_ponens,[status(thm)],[14393, 14392])).
% 14.99/10.25 tff(14395,plain,
% 14.99/10.25 (v100(constB132) <=> (~((~v101(constB132)) | (~v110(constB132))))),
% 14.99/10.25 inference(unit_resolution,[status(thm)],[14394, 14391, 430])).
% 14.99/10.25 tff(14396,plain,
% 14.99/10.25 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB131, constB132)) | (v101(constB132) <=> (~((~v1(constB132)) | (~v102(constB132))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB131, constB132)) | (v101(constB132) <=> (~((~v1(constB132)) | (~v102(constB132))))))),
% 14.99/10.25 inference(rewrite,[status(thm)],[])).
% 14.99/10.25 tff(14397,plain,
% 14.99/10.25 (((~nextState(constB131, constB132)) | (v101(constB132) <=> (~((~v102(constB132)) | (~v1(constB132)))))) <=> ((~nextState(constB131, constB132)) | (v101(constB132) <=> (~((~v1(constB132)) | (~v102(constB132))))))),
% 14.99/10.25 inference(rewrite,[status(thm)],[])).
% 14.99/10.25 tff(14398,plain,
% 14.99/10.25 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB131, constB132)) | (v101(constB132) <=> (~((~v102(constB132)) | (~v1(constB132))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB131, constB132)) | (v101(constB132) <=> (~((~v1(constB132)) | (~v102(constB132)))))))),
% 14.99/10.25 inference(monotonicity,[status(thm)],[14397])).
% 14.99/10.25 tff(14399,plain,
% 14.99/10.25 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB131, constB132)) | (v101(constB132) <=> (~((~v102(constB132)) | (~v1(constB132))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB131, constB132)) | (v101(constB132) <=> (~((~v1(constB132)) | (~v102(constB132))))))),
% 14.99/10.25 inference(transitivity,[status(thm)],[14398, 14396])).
% 14.99/10.25 tff(14400,plain,
% 14.99/10.25 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB131, constB132)) | (v101(constB132) <=> (~((~v102(constB132)) | (~v1(constB132))))))),
% 14.99/10.25 inference(quant_inst,[status(thm)],[])).
% 14.99/10.25 tff(14401,plain,
% 14.99/10.25 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB131, constB132)) | (v101(constB132) <=> (~((~v1(constB132)) | (~v102(constB132)))))),
% 14.99/10.25 inference(modus_ponens,[status(thm)],[14400, 14399])).
% 14.99/10.25 tff(14402,plain,
% 14.99/10.25 (v101(constB132) <=> (~((~v1(constB132)) | (~v102(constB132))))),
% 14.99/10.25 inference(unit_resolution,[status(thm)],[14401, 14391, 450])).
% 14.99/10.25 tff(14403,plain,
% 14.99/10.25 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | ((~nextState(constB131, constB132)) | ((~v102(constB132)) <=> v104(constB132)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | (~nextState(constB131, constB132)) | ((~v102(constB132)) <=> v104(constB132)))),
% 14.99/10.25 inference(rewrite,[status(thm)],[])).
% 14.99/10.25 tff(14404,plain,
% 14.99/10.25 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | ((~nextState(constB131, constB132)) | ((~v102(constB132)) <=> v104(constB132)))),
% 14.99/10.25 inference(quant_inst,[status(thm)],[])).
% 14.99/10.25 tff(14405,plain,
% 14.99/10.25 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | (~nextState(constB131, constB132)) | ((~v102(constB132)) <=> v104(constB132))),
% 14.99/10.25 inference(modus_ponens,[status(thm)],[14404, 14403])).
% 14.99/10.25 tff(14406,plain,
% 14.99/10.25 ((~v102(constB132)) <=> v104(constB132)),
% 14.99/10.25 inference(unit_resolution,[status(thm)],[14405, 14391, 512])).
% 14.99/10.25 tff(14407,plain,
% 14.99/10.25 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB131, constB132)) | (v104(constB132) <=> v1(constB131)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | (~nextState(constB131, constB132)) | (v104(constB132) <=> v1(constB131)))),
% 14.99/10.25 inference(rewrite,[status(thm)],[])).
% 14.99/10.25 tff(14408,plain,
% 14.99/10.25 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB131, constB132)) | (v104(constB132) <=> v1(constB131)))),
% 14.99/10.25 inference(quant_inst,[status(thm)],[])).
% 14.99/10.25 tff(14409,plain,
% 14.99/10.25 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | (~nextState(constB131, constB132)) | (v104(constB132) <=> v1(constB131))),
% 14.99/10.25 inference(modus_ponens,[status(thm)],[14408, 14407])).
% 14.99/10.25 tff(14410,plain,
% 14.99/10.25 (v104(constB132) <=> v1(constB131)),
% 14.99/10.25 inference(unit_resolution,[status(thm)],[14409, 14391, 526])).
% 14.99/10.25 tff(14411,plain,
% 14.99/10.25 ((~v1(constB131)) <=> (~v1(constB131))),
% 14.99/10.25 inference(rewrite,[status(thm)],[])).
% 14.99/10.25 tff(14412,axiom,(~v1(constB131)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_131')).
% 14.99/10.25 tff(14413,plain,
% 14.99/10.25 (~v1(constB131)),
% 14.99/10.25 inference(modus_ponens,[status(thm)],[14412, 14411])).
% 14.99/10.25 tff(14414,plain,
% 14.99/10.25 ((~(v104(constB132) <=> v1(constB131))) | (~v104(constB132)) | v1(constB131)),
% 14.99/10.25 inference(tautology,[status(thm)],[])).
% 14.99/10.25 tff(14415,plain,
% 14.99/10.25 ((~(v104(constB132) <=> v1(constB131))) | (~v104(constB132))),
% 14.99/10.25 inference(unit_resolution,[status(thm)],[14414, 14413])).
% 14.99/10.25 tff(14416,plain,
% 14.99/10.25 (~v104(constB132)),
% 14.99/10.25 inference(unit_resolution,[status(thm)],[14415, 14410])).
% 14.99/10.25 tff(14417,plain,
% 14.99/10.25 ((~((~v102(constB132)) <=> v104(constB132))) | v102(constB132) | v104(constB132)),
% 14.99/10.25 inference(tautology,[status(thm)],[])).
% 14.99/10.25 tff(14418,plain,
% 14.99/10.25 (v102(constB132)),
% 14.99/10.25 inference(unit_resolution,[status(thm)],[14417, 14416, 14406])).
% 14.99/10.25 tff(14419,plain,
% 14.99/10.25 (v1(constB132) <=> v1(constB132)),
% 14.99/10.25 inference(rewrite,[status(thm)],[])).
% 14.99/10.25 tff(14420,axiom,(v1(constB132)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_132')).
% 14.99/10.25 tff(14421,plain,
% 14.99/10.25 (v1(constB132)),
% 14.99/10.25 inference(modus_ponens,[status(thm)],[14420, 14419])).
% 14.99/10.25 tff(14422,plain,
% 14.99/10.25 ((~((~v1(constB132)) | (~v102(constB132)))) | (~v1(constB132)) | (~v102(constB132))),
% 14.99/10.25 inference(tautology,[status(thm)],[])).
% 14.99/10.25 tff(14423,plain,
% 14.99/10.25 ((~((~v1(constB132)) | (~v102(constB132)))) | (~v102(constB132))),
% 14.99/10.25 inference(unit_resolution,[status(thm)],[14422, 14421])).
% 14.99/10.25 tff(14424,plain,
% 14.99/10.25 (~((~v1(constB132)) | (~v102(constB132)))),
% 14.99/10.25 inference(unit_resolution,[status(thm)],[14423, 14418])).
% 14.99/10.25 tff(14425,plain,
% 14.99/10.25 ((~(v101(constB132) <=> (~((~v1(constB132)) | (~v102(constB132)))))) | v101(constB132) | ((~v1(constB132)) | (~v102(constB132)))),
% 14.99/10.25 inference(tautology,[status(thm)],[])).
% 14.99/10.25 tff(14426,plain,
% 14.99/10.25 (v101(constB132)),
% 14.99/10.25 inference(unit_resolution,[status(thm)],[14425, 14424, 14402])).
% 14.99/10.25 tff(14427,plain,
% 14.99/10.25 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | ((~nextState(constB131, constB132)) | (v110(constB132) <=> v108(constB131)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | (~nextState(constB131, constB132)) | (v110(constB132) <=> v108(constB131)))),
% 14.99/10.25 inference(rewrite,[status(thm)],[])).
% 14.99/10.25 tff(14428,plain,
% 14.99/10.25 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | ((~nextState(constB131, constB132)) | (v110(constB132) <=> v108(constB131)))),
% 14.99/10.25 inference(quant_inst,[status(thm)],[])).
% 14.99/10.25 tff(14429,plain,
% 14.99/10.25 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | (~nextState(constB131, constB132)) | (v110(constB132) <=> v108(constB131))),
% 14.99/10.25 inference(modus_ponens,[status(thm)],[14428, 14427])).
% 14.99/10.25 tff(14430,plain,
% 14.99/10.25 (v110(constB132) <=> v108(constB131)),
% 14.99/10.25 inference(unit_resolution,[status(thm)],[14429, 14391, 556])).
% 14.99/10.25 tff(14431,plain,
% 14.99/10.25 ((~![VarCurr: $i] : (v108(VarCurr) <=> (v111(VarCurr) | v112(VarCurr)))) | (v108(constB131) <=> (v111(constB131) | v112(constB131)))),
% 14.99/10.25 inference(quant_inst,[status(thm)],[])).
% 14.99/10.25 tff(14432,plain,
% 14.99/10.25 (v108(constB131) <=> (v111(constB131) | v112(constB131))),
% 14.99/10.25 inference(unit_resolution,[status(thm)],[14431, 567])).
% 14.99/10.25 tff(14433,plain,
% 14.99/10.25 ((~![VarCurr: $i] : (v112(VarCurr) <=> (~((~v113(VarCurr)) | (~v126(VarCurr)))))) | (v112(constB131) <=> (~((~v113(constB131)) | (~v126(constB131)))))),
% 14.99/10.25 inference(quant_inst,[status(thm)],[])).
% 14.99/10.25 tff(14434,plain,
% 14.99/10.25 (v112(constB131) <=> (~((~v113(constB131)) | (~v126(constB131))))),
% 14.99/10.25 inference(unit_resolution,[status(thm)],[14433, 579])).
% 14.99/10.25 tff(14435,plain,
% 14.99/10.25 ((~![VarCurr: $i] : (v113(VarCurr) <=> (v114(VarCurr) | v125(VarCurr)))) | (v113(constB131) <=> (v114(constB131) | v125(constB131)))),
% 14.99/10.25 inference(quant_inst,[status(thm)],[])).
% 14.99/10.25 tff(14436,plain,
% 14.99/10.25 (v113(constB131) <=> (v114(constB131) | v125(constB131))),
% 14.99/10.25 inference(unit_resolution,[status(thm)],[14435, 588])).
% 14.99/10.25 tff(14437,plain,
% 14.99/10.25 ((~![VarCurr: $i] : (v114(VarCurr) <=> (v115(VarCurr) | v124(VarCurr)))) | (v114(constB131) <=> (v115(constB131) | v124(constB131)))),
% 14.99/10.25 inference(quant_inst,[status(thm)],[])).
% 14.99/10.25 tff(14438,plain,
% 14.99/10.25 (v114(constB131) <=> (v115(constB131) | v124(constB131))),
% 14.99/10.25 inference(unit_resolution,[status(thm)],[14437, 597])).
% 14.99/10.25 tff(14439,plain,
% 14.99/10.25 ((~![VarCurr: $i] : (v115(VarCurr) <=> (v116(VarCurr) | v123(VarCurr)))) | (v115(constB131) <=> (v116(constB131) | v123(constB131)))),
% 14.99/10.25 inference(quant_inst,[status(thm)],[])).
% 14.99/10.25 tff(14440,plain,
% 14.99/10.25 (v115(constB131) <=> (v116(constB131) | v123(constB131))),
% 14.99/10.25 inference(unit_resolution,[status(thm)],[14439, 606])).
% 14.99/10.25 tff(14441,plain,
% 14.99/10.25 ((~![VarCurr: $i] : (v116(VarCurr) <=> (v117(VarCurr) | v122(VarCurr)))) | (v116(constB131) <=> (v117(constB131) | v122(constB131)))),
% 14.99/10.25 inference(quant_inst,[status(thm)],[])).
% 14.99/10.25 tff(14442,plain,
% 14.99/10.25 (v116(constB131) <=> (v117(constB131) | v122(constB131))),
% 14.99/10.25 inference(unit_resolution,[status(thm)],[14441, 719])).
% 14.99/10.25 tff(14443,plain,
% 14.99/10.25 (((~![VarCurr: $i] : (v122(VarCurr) <=> (~(v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)))))) | (v122(constB131) <=> (~(v90(constB131, bitIndex2) | (~v90(constB131, bitIndex1)) | (~v90(constB131, bitIndex0)))))) <=> ((~![VarCurr: $i] : (v122(VarCurr) <=> (~(v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)))))) | (v122(constB131) <=> (~(v90(constB131, bitIndex2) | (~v90(constB131, bitIndex1)) | (~v90(constB131, bitIndex0))))))),
% 14.99/10.25 inference(rewrite,[status(thm)],[])).
% 14.99/10.25 tff(14444,plain,
% 14.99/10.25 ((v122(constB131) <=> (~(v90(constB131, bitIndex2) | (~v90(constB131, bitIndex0)) | (~v90(constB131, bitIndex1))))) <=> (v122(constB131) <=> (~(v90(constB131, bitIndex2) | (~v90(constB131, bitIndex1)) | (~v90(constB131, bitIndex0)))))),
% 14.99/10.25 inference(rewrite,[status(thm)],[])).
% 14.99/10.25 tff(14445,plain,
% 14.99/10.25 (((~![VarCurr: $i] : (v122(VarCurr) <=> (~(v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)))))) | (v122(constB131) <=> (~(v90(constB131, bitIndex2) | (~v90(constB131, bitIndex0)) | (~v90(constB131, bitIndex1)))))) <=> ((~![VarCurr: $i] : (v122(VarCurr) <=> (~(v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)))))) | (v122(constB131) <=> (~(v90(constB131, bitIndex2) | (~v90(constB131, bitIndex1)) | (~v90(constB131, bitIndex0))))))),
% 14.99/10.25 inference(monotonicity,[status(thm)],[14444])).
% 14.99/10.25 tff(14446,plain,
% 14.99/10.25 (((~![VarCurr: $i] : (v122(VarCurr) <=> (~(v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)))))) | (v122(constB131) <=> (~(v90(constB131, bitIndex2) | (~v90(constB131, bitIndex0)) | (~v90(constB131, bitIndex1)))))) <=> ((~![VarCurr: $i] : (v122(VarCurr) <=> (~(v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)))))) | (v122(constB131) <=> (~(v90(constB131, bitIndex2) | (~v90(constB131, bitIndex1)) | (~v90(constB131, bitIndex0))))))),
% 14.99/10.25 inference(transitivity,[status(thm)],[14445, 14443])).
% 14.99/10.25 tff(14447,plain,
% 14.99/10.25 ((~![VarCurr: $i] : (v122(VarCurr) <=> (~(v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)))))) | (v122(constB131) <=> (~(v90(constB131, bitIndex2) | (~v90(constB131, bitIndex0)) | (~v90(constB131, bitIndex1)))))),
% 14.99/10.25 inference(quant_inst,[status(thm)],[])).
% 14.99/10.25 tff(14448,plain,
% 14.99/10.25 ((~![VarCurr: $i] : (v122(VarCurr) <=> (~(v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)))))) | (v122(constB131) <=> (~(v90(constB131, bitIndex2) | (~v90(constB131, bitIndex1)) | (~v90(constB131, bitIndex0)))))),
% 14.99/10.25 inference(modus_ponens,[status(thm)],[14447, 14446])).
% 14.99/10.25 tff(14449,plain,
% 14.99/10.25 (v122(constB131) <=> (~(v90(constB131, bitIndex2) | (~v90(constB131, bitIndex1)) | (~v90(constB131, bitIndex0))))),
% 14.99/10.25 inference(unit_resolution,[status(thm)],[14448, 734])).
% 14.99/10.25 tff(14450,plain,
% 14.99/10.25 (nextState(constB130, constB131) <=> nextState(constB130, constB131)),
% 14.99/10.25 inference(rewrite,[status(thm)],[])).
% 14.99/10.25 tff(14451,axiom,(nextState(constB130, constB131)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_130')).
% 14.99/10.25 tff(14452,plain,
% 14.99/10.25 (nextState(constB130, constB131)),
% 14.99/10.25 inference(modus_ponens,[status(thm)],[14451, 14450])).
% 14.99/10.25 tff(14453,plain,
% 14.99/10.25 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB130, constB131)) | (v100(constB131) <=> (~((~v101(constB131)) | (~v110(constB131))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB130, constB131)) | (v100(constB131) <=> (~((~v101(constB131)) | (~v110(constB131))))))),
% 14.99/10.25 inference(rewrite,[status(thm)],[])).
% 14.99/10.25 tff(14454,plain,
% 14.99/10.25 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB130, constB131)) | (v100(constB131) <=> (~((~v101(constB131)) | (~v110(constB131))))))),
% 14.99/10.25 inference(quant_inst,[status(thm)],[])).
% 14.99/10.25 tff(14455,plain,
% 14.99/10.25 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB130, constB131)) | (v100(constB131) <=> (~((~v101(constB131)) | (~v110(constB131)))))),
% 14.99/10.25 inference(modus_ponens,[status(thm)],[14454, 14453])).
% 14.99/10.25 tff(14456,plain,
% 14.99/10.25 (v100(constB131) <=> (~((~v101(constB131)) | (~v110(constB131))))),
% 14.99/10.25 inference(unit_resolution,[status(thm)],[14455, 14452, 430])).
% 14.99/10.25 tff(14457,plain,
% 14.99/10.25 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB130, constB131)) | (v101(constB131) <=> (~((~v1(constB131)) | (~v102(constB131))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB130, constB131)) | (v101(constB131) <=> (~((~v1(constB131)) | (~v102(constB131))))))),
% 14.99/10.25 inference(rewrite,[status(thm)],[])).
% 14.99/10.25 tff(14458,plain,
% 14.99/10.25 (((~nextState(constB130, constB131)) | (v101(constB131) <=> (~((~v102(constB131)) | (~v1(constB131)))))) <=> ((~nextState(constB130, constB131)) | (v101(constB131) <=> (~((~v1(constB131)) | (~v102(constB131))))))),
% 14.99/10.25 inference(rewrite,[status(thm)],[])).
% 14.99/10.25 tff(14459,plain,
% 14.99/10.25 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB130, constB131)) | (v101(constB131) <=> (~((~v102(constB131)) | (~v1(constB131))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB130, constB131)) | (v101(constB131) <=> (~((~v1(constB131)) | (~v102(constB131)))))))),
% 14.99/10.25 inference(monotonicity,[status(thm)],[14458])).
% 14.99/10.25 tff(14460,plain,
% 14.99/10.25 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB130, constB131)) | (v101(constB131) <=> (~((~v102(constB131)) | (~v1(constB131))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB130, constB131)) | (v101(constB131) <=> (~((~v1(constB131)) | (~v102(constB131))))))),
% 14.99/10.25 inference(transitivity,[status(thm)],[14459, 14457])).
% 14.99/10.25 tff(14461,plain,
% 14.99/10.25 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB130, constB131)) | (v101(constB131) <=> (~((~v102(constB131)) | (~v1(constB131))))))),
% 14.99/10.25 inference(quant_inst,[status(thm)],[])).
% 14.99/10.25 tff(14462,plain,
% 14.99/10.25 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB130, constB131)) | (v101(constB131) <=> (~((~v1(constB131)) | (~v102(constB131)))))),
% 14.99/10.25 inference(modus_ponens,[status(thm)],[14461, 14460])).
% 14.99/10.25 tff(14463,plain,
% 14.99/10.25 (v101(constB131) <=> (~((~v1(constB131)) | (~v102(constB131))))),
% 14.99/10.25 inference(unit_resolution,[status(thm)],[14462, 14452, 450])).
% 14.99/10.25 tff(14464,plain,
% 14.99/10.25 (((~v1(constB131)) | (~v102(constB131))) | v1(constB131)),
% 14.99/10.25 inference(tautology,[status(thm)],[])).
% 14.99/10.25 tff(14465,plain,
% 14.99/10.25 ((~v1(constB131)) | (~v102(constB131))),
% 14.99/10.25 inference(unit_resolution,[status(thm)],[14464, 14413])).
% 14.99/10.25 tff(14466,plain,
% 14.99/10.25 ((~(v101(constB131) <=> (~((~v1(constB131)) | (~v102(constB131)))))) | (~v101(constB131)) | (~((~v1(constB131)) | (~v102(constB131))))),
% 14.99/10.25 inference(tautology,[status(thm)],[])).
% 14.99/10.25 tff(14467,plain,
% 14.99/10.25 ((~(v101(constB131) <=> (~((~v1(constB131)) | (~v102(constB131)))))) | (~v101(constB131))),
% 14.99/10.25 inference(unit_resolution,[status(thm)],[14466, 14465])).
% 14.99/10.25 tff(14468,plain,
% 14.99/10.25 (~v101(constB131)),
% 14.99/10.25 inference(unit_resolution,[status(thm)],[14467, 14463])).
% 14.99/10.25 tff(14469,plain,
% 14.99/10.25 (((~v101(constB131)) | (~v110(constB131))) | v101(constB131)),
% 14.99/10.25 inference(tautology,[status(thm)],[])).
% 14.99/10.25 tff(14470,plain,
% 14.99/10.25 ((~v101(constB131)) | (~v110(constB131))),
% 14.99/10.25 inference(unit_resolution,[status(thm)],[14469, 14468])).
% 14.99/10.25 tff(14471,plain,
% 14.99/10.25 ((~(v100(constB131) <=> (~((~v101(constB131)) | (~v110(constB131)))))) | (~v100(constB131)) | (~((~v101(constB131)) | (~v110(constB131))))),
% 14.99/10.25 inference(tautology,[status(thm)],[])).
% 14.99/10.25 tff(14472,plain,
% 14.99/10.25 (~v100(constB131)),
% 14.99/10.25 inference(unit_resolution,[status(thm)],[14471, 14470, 14456])).
% 14.99/10.25 tff(14473,plain,
% 14.99/10.25 (((~![VarCurr: $i, VarNext: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v90(VarCurr, B))))) | (v100(constB131) | (~nextState(constB130, constB131)) | ![B: $i] : ((~less_3(B)) | (v90(constB131, B) <=> v90(constB130, B))))) <=> ((~![VarCurr: $i, VarNext: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v90(VarCurr, B))))) | v100(constB131) | (~nextState(constB130, constB131)) | ![B: $i] : ((~less_3(B)) | (v90(constB131, B) <=> v90(constB130, B))))),
% 14.99/10.25 inference(rewrite,[status(thm)],[])).
% 14.99/10.25 tff(14474,plain,
% 14.99/10.25 ((~![VarCurr: $i, VarNext: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v90(VarCurr, B))))) | (v100(constB131) | (~nextState(constB130, constB131)) | ![B: $i] : ((~less_3(B)) | (v90(constB131, B) <=> v90(constB130, B))))),
% 14.99/10.25 inference(quant_inst,[status(thm)],[])).
% 14.99/10.25 tff(14475,plain,
% 14.99/10.25 ((~![VarCurr: $i, VarNext: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v90(VarCurr, B))))) | v100(constB131) | (~nextState(constB130, constB131)) | ![B: $i] : ((~less_3(B)) | (v90(constB131, B) <=> v90(constB130, B)))),
% 14.99/10.25 inference(modus_ponens,[status(thm)],[14474, 14473])).
% 14.99/10.25 tff(14476,plain,
% 14.99/10.25 (v100(constB131) | ![B: $i] : ((~less_3(B)) | (v90(constB131, B) <=> v90(constB130, B)))),
% 14.99/10.25 inference(unit_resolution,[status(thm)],[14475, 14452, 479])).
% 14.99/10.25 tff(14477,plain,
% 14.99/10.25 (![B: $i] : ((~less_3(B)) | (v90(constB131, B) <=> v90(constB130, B)))),
% 14.99/10.25 inference(unit_resolution,[status(thm)],[14476, 14472])).
% 14.99/10.25 tff(14478,plain,
% 14.99/10.25 (((~![B: $i] : ((~less_3(B)) | (v90(constB131, B) <=> v90(constB130, B)))) | ((~less_3(bitIndex2)) | (v90(constB131, bitIndex2) <=> v90(constB130, bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v90(constB131, B) <=> v90(constB130, B)))) | (~less_3(bitIndex2)) | (v90(constB131, bitIndex2) <=> v90(constB130, bitIndex2)))),
% 14.99/10.25 inference(rewrite,[status(thm)],[])).
% 14.99/10.25 tff(14479,plain,
% 14.99/10.25 ((~![B: $i] : ((~less_3(B)) | (v90(constB131, B) <=> v90(constB130, B)))) | ((~less_3(bitIndex2)) | (v90(constB131, bitIndex2) <=> v90(constB130, bitIndex2)))),
% 14.99/10.25 inference(quant_inst,[status(thm)],[])).
% 14.99/10.25 tff(14480,plain,
% 14.99/10.25 ((~![B: $i] : ((~less_3(B)) | (v90(constB131, B) <=> v90(constB130, B)))) | (~less_3(bitIndex2)) | (v90(constB131, bitIndex2) <=> v90(constB130, bitIndex2))),
% 14.99/10.25 inference(modus_ponens,[status(thm)],[14479, 14478])).
% 14.99/10.25 tff(14481,plain,
% 14.99/10.25 (v90(constB131, bitIndex2) <=> v90(constB130, bitIndex2)),
% 14.99/10.25 inference(unit_resolution,[status(thm)],[14480, 413, 14477])).
% 14.99/10.25 tff(14482,plain,
% 14.99/10.25 (nextState(constB129, constB130) <=> nextState(constB129, constB130)),
% 14.99/10.25 inference(rewrite,[status(thm)],[])).
% 14.99/10.25 tff(14483,axiom,(nextState(constB129, constB130)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_129')).
% 14.99/10.26 tff(14484,plain,
% 14.99/10.26 (nextState(constB129, constB130)),
% 14.99/10.26 inference(modus_ponens,[status(thm)],[14483, 14482])).
% 14.99/10.26 tff(14485,plain,
% 14.99/10.26 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB129, constB130)) | (v100(constB130) <=> (~((~v101(constB130)) | (~v110(constB130))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB129, constB130)) | (v100(constB130) <=> (~((~v101(constB130)) | (~v110(constB130))))))),
% 14.99/10.26 inference(rewrite,[status(thm)],[])).
% 14.99/10.26 tff(14486,plain,
% 14.99/10.26 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB129, constB130)) | (v100(constB130) <=> (~((~v101(constB130)) | (~v110(constB130))))))),
% 14.99/10.26 inference(quant_inst,[status(thm)],[])).
% 14.99/10.26 tff(14487,plain,
% 14.99/10.26 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB129, constB130)) | (v100(constB130) <=> (~((~v101(constB130)) | (~v110(constB130)))))),
% 14.99/10.26 inference(modus_ponens,[status(thm)],[14486, 14485])).
% 14.99/10.26 tff(14488,plain,
% 14.99/10.26 (v100(constB130) <=> (~((~v101(constB130)) | (~v110(constB130))))),
% 14.99/10.26 inference(unit_resolution,[status(thm)],[14487, 14484, 430])).
% 14.99/10.26 tff(14489,plain,
% 14.99/10.26 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB129, constB130)) | (v101(constB130) <=> (~((~v1(constB130)) | (~v102(constB130))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB129, constB130)) | (v101(constB130) <=> (~((~v1(constB130)) | (~v102(constB130))))))),
% 14.99/10.26 inference(rewrite,[status(thm)],[])).
% 14.99/10.26 tff(14490,plain,
% 14.99/10.26 (((~nextState(constB129, constB130)) | (v101(constB130) <=> (~((~v102(constB130)) | (~v1(constB130)))))) <=> ((~nextState(constB129, constB130)) | (v101(constB130) <=> (~((~v1(constB130)) | (~v102(constB130))))))),
% 14.99/10.26 inference(rewrite,[status(thm)],[])).
% 14.99/10.26 tff(14491,plain,
% 14.99/10.26 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB129, constB130)) | (v101(constB130) <=> (~((~v102(constB130)) | (~v1(constB130))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB129, constB130)) | (v101(constB130) <=> (~((~v1(constB130)) | (~v102(constB130)))))))),
% 14.99/10.26 inference(monotonicity,[status(thm)],[14490])).
% 14.99/10.26 tff(14492,plain,
% 14.99/10.26 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB129, constB130)) | (v101(constB130) <=> (~((~v102(constB130)) | (~v1(constB130))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB129, constB130)) | (v101(constB130) <=> (~((~v1(constB130)) | (~v102(constB130))))))),
% 14.99/10.26 inference(transitivity,[status(thm)],[14491, 14489])).
% 14.99/10.26 tff(14493,plain,
% 14.99/10.26 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB129, constB130)) | (v101(constB130) <=> (~((~v102(constB130)) | (~v1(constB130))))))),
% 14.99/10.26 inference(quant_inst,[status(thm)],[])).
% 14.99/10.26 tff(14494,plain,
% 14.99/10.26 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB129, constB130)) | (v101(constB130) <=> (~((~v1(constB130)) | (~v102(constB130)))))),
% 14.99/10.26 inference(modus_ponens,[status(thm)],[14493, 14492])).
% 14.99/10.26 tff(14495,plain,
% 14.99/10.26 (v101(constB130) <=> (~((~v1(constB130)) | (~v102(constB130))))),
% 14.99/10.26 inference(unit_resolution,[status(thm)],[14494, 14484, 450])).
% 14.99/10.26 tff(14496,plain,
% 14.99/10.26 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | ((~nextState(constB129, constB130)) | ((~v102(constB130)) <=> v104(constB130)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | (~nextState(constB129, constB130)) | ((~v102(constB130)) <=> v104(constB130)))),
% 14.99/10.26 inference(rewrite,[status(thm)],[])).
% 14.99/10.26 tff(14497,plain,
% 14.99/10.26 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | ((~nextState(constB129, constB130)) | ((~v102(constB130)) <=> v104(constB130)))),
% 14.99/10.26 inference(quant_inst,[status(thm)],[])).
% 14.99/10.26 tff(14498,plain,
% 14.99/10.26 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | (~nextState(constB129, constB130)) | ((~v102(constB130)) <=> v104(constB130))),
% 14.99/10.26 inference(modus_ponens,[status(thm)],[14497, 14496])).
% 14.99/10.26 tff(14499,plain,
% 14.99/10.26 ((~v102(constB130)) <=> v104(constB130)),
% 14.99/10.26 inference(unit_resolution,[status(thm)],[14498, 14484, 512])).
% 14.99/10.26 tff(14500,plain,
% 14.99/10.26 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB129, constB130)) | (v104(constB130) <=> v1(constB129)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | (~nextState(constB129, constB130)) | (v104(constB130) <=> v1(constB129)))),
% 14.99/10.26 inference(rewrite,[status(thm)],[])).
% 14.99/10.26 tff(14501,plain,
% 14.99/10.26 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB129, constB130)) | (v104(constB130) <=> v1(constB129)))),
% 14.99/10.26 inference(quant_inst,[status(thm)],[])).
% 14.99/10.26 tff(14502,plain,
% 14.99/10.26 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | (~nextState(constB129, constB130)) | (v104(constB130) <=> v1(constB129))),
% 14.99/10.26 inference(modus_ponens,[status(thm)],[14501, 14500])).
% 14.99/10.26 tff(14503,plain,
% 14.99/10.26 (v104(constB130) <=> v1(constB129)),
% 14.99/10.26 inference(unit_resolution,[status(thm)],[14502, 14484, 526])).
% 14.99/10.26 tff(14504,plain,
% 14.99/10.26 ((~v1(constB129)) <=> (~v1(constB129))),
% 14.99/10.26 inference(rewrite,[status(thm)],[])).
% 14.99/10.26 tff(14505,axiom,(~v1(constB129)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_129')).
% 14.99/10.26 tff(14506,plain,
% 14.99/10.26 (~v1(constB129)),
% 14.99/10.26 inference(modus_ponens,[status(thm)],[14505, 14504])).
% 14.99/10.26 tff(14507,plain,
% 14.99/10.26 ((~(v104(constB130) <=> v1(constB129))) | (~v104(constB130)) | v1(constB129)),
% 14.99/10.26 inference(tautology,[status(thm)],[])).
% 14.99/10.26 tff(14508,plain,
% 14.99/10.26 ((~(v104(constB130) <=> v1(constB129))) | (~v104(constB130))),
% 14.99/10.26 inference(unit_resolution,[status(thm)],[14507, 14506])).
% 14.99/10.26 tff(14509,plain,
% 14.99/10.26 (~v104(constB130)),
% 14.99/10.26 inference(unit_resolution,[status(thm)],[14508, 14503])).
% 14.99/10.26 tff(14510,plain,
% 14.99/10.26 ((~((~v102(constB130)) <=> v104(constB130))) | v102(constB130) | v104(constB130)),
% 14.99/10.26 inference(tautology,[status(thm)],[])).
% 14.99/10.26 tff(14511,plain,
% 14.99/10.26 (v102(constB130)),
% 14.99/10.26 inference(unit_resolution,[status(thm)],[14510, 14509, 14499])).
% 14.99/10.26 tff(14512,plain,
% 14.99/10.26 (v1(constB130) <=> v1(constB130)),
% 14.99/10.26 inference(rewrite,[status(thm)],[])).
% 14.99/10.26 tff(14513,axiom,(v1(constB130)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_130')).
% 14.99/10.26 tff(14514,plain,
% 14.99/10.26 (v1(constB130)),
% 14.99/10.26 inference(modus_ponens,[status(thm)],[14513, 14512])).
% 14.99/10.26 tff(14515,plain,
% 14.99/10.26 ((~((~v1(constB130)) | (~v102(constB130)))) | (~v1(constB130)) | (~v102(constB130))),
% 14.99/10.26 inference(tautology,[status(thm)],[])).
% 14.99/10.26 tff(14516,plain,
% 14.99/10.26 ((~((~v1(constB130)) | (~v102(constB130)))) | (~v102(constB130))),
% 14.99/10.26 inference(unit_resolution,[status(thm)],[14515, 14514])).
% 14.99/10.26 tff(14517,plain,
% 14.99/10.26 (~((~v1(constB130)) | (~v102(constB130)))),
% 14.99/10.26 inference(unit_resolution,[status(thm)],[14516, 14511])).
% 14.99/10.26 tff(14518,plain,
% 14.99/10.26 ((~(v101(constB130) <=> (~((~v1(constB130)) | (~v102(constB130)))))) | v101(constB130) | ((~v1(constB130)) | (~v102(constB130)))),
% 14.99/10.26 inference(tautology,[status(thm)],[])).
% 14.99/10.26 tff(14519,plain,
% 14.99/10.26 (v101(constB130)),
% 14.99/10.26 inference(unit_resolution,[status(thm)],[14518, 14517, 14495])).
% 14.99/10.26 tff(14520,plain,
% 14.99/10.26 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | ((~nextState(constB129, constB130)) | (v110(constB130) <=> v108(constB129)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | (~nextState(constB129, constB130)) | (v110(constB130) <=> v108(constB129)))),
% 14.99/10.26 inference(rewrite,[status(thm)],[])).
% 14.99/10.26 tff(14521,plain,
% 14.99/10.26 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | ((~nextState(constB129, constB130)) | (v110(constB130) <=> v108(constB129)))),
% 14.99/10.26 inference(quant_inst,[status(thm)],[])).
% 14.99/10.26 tff(14522,plain,
% 14.99/10.26 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | (~nextState(constB129, constB130)) | (v110(constB130) <=> v108(constB129))),
% 14.99/10.26 inference(modus_ponens,[status(thm)],[14521, 14520])).
% 14.99/10.26 tff(14523,plain,
% 14.99/10.26 (v110(constB130) <=> v108(constB129)),
% 14.99/10.26 inference(unit_resolution,[status(thm)],[14522, 14484, 556])).
% 14.99/10.26 tff(14524,plain,
% 14.99/10.26 ((~![VarCurr: $i] : (v108(VarCurr) <=> (v111(VarCurr) | v112(VarCurr)))) | (v108(constB129) <=> (v111(constB129) | v112(constB129)))),
% 14.99/10.26 inference(quant_inst,[status(thm)],[])).
% 14.99/10.26 tff(14525,plain,
% 14.99/10.26 (v108(constB129) <=> (v111(constB129) | v112(constB129))),
% 14.99/10.26 inference(unit_resolution,[status(thm)],[14524, 567])).
% 14.99/10.26 tff(14526,plain,
% 14.99/10.26 ((~![VarCurr: $i] : (v112(VarCurr) <=> (~((~v113(VarCurr)) | (~v126(VarCurr)))))) | (v112(constB129) <=> (~((~v113(constB129)) | (~v126(constB129)))))),
% 14.99/10.26 inference(quant_inst,[status(thm)],[])).
% 14.99/10.26 tff(14527,plain,
% 14.99/10.26 (v112(constB129) <=> (~((~v113(constB129)) | (~v126(constB129))))),
% 14.99/10.26 inference(unit_resolution,[status(thm)],[14526, 579])).
% 14.99/10.26 tff(14528,plain,
% 14.99/10.26 ((~![VarCurr: $i] : (v113(VarCurr) <=> (v114(VarCurr) | v125(VarCurr)))) | (v113(constB129) <=> (v114(constB129) | v125(constB129)))),
% 14.99/10.26 inference(quant_inst,[status(thm)],[])).
% 14.99/10.26 tff(14529,plain,
% 14.99/10.26 (v113(constB129) <=> (v114(constB129) | v125(constB129))),
% 14.99/10.26 inference(unit_resolution,[status(thm)],[14528, 588])).
% 14.99/10.26 tff(14530,plain,
% 14.99/10.26 ((~![VarCurr: $i] : (v114(VarCurr) <=> (v115(VarCurr) | v124(VarCurr)))) | (v114(constB129) <=> (v115(constB129) | v124(constB129)))),
% 14.99/10.26 inference(quant_inst,[status(thm)],[])).
% 14.99/10.26 tff(14531,plain,
% 14.99/10.26 (v114(constB129) <=> (v115(constB129) | v124(constB129))),
% 14.99/10.26 inference(unit_resolution,[status(thm)],[14530, 597])).
% 14.99/10.26 tff(14532,plain,
% 14.99/10.26 ((~![VarCurr: $i] : (v115(VarCurr) <=> (v116(VarCurr) | v123(VarCurr)))) | (v115(constB129) <=> (v116(constB129) | v123(constB129)))),
% 14.99/10.26 inference(quant_inst,[status(thm)],[])).
% 14.99/10.26 tff(14533,plain,
% 14.99/10.26 (v115(constB129) <=> (v116(constB129) | v123(constB129))),
% 14.99/10.26 inference(unit_resolution,[status(thm)],[14532, 606])).
% 14.99/10.26 tff(14534,plain,
% 14.99/10.26 ((~![VarCurr: $i] : (v116(VarCurr) <=> (v117(VarCurr) | v122(VarCurr)))) | (v116(constB129) <=> (v117(constB129) | v122(constB129)))),
% 14.99/10.26 inference(quant_inst,[status(thm)],[])).
% 14.99/10.26 tff(14535,plain,
% 14.99/10.26 (v116(constB129) <=> (v117(constB129) | v122(constB129))),
% 14.99/10.26 inference(unit_resolution,[status(thm)],[14534, 719])).
% 14.99/10.26 tff(14536,plain,
% 14.99/10.26 ((~![VarCurr: $i] : (v117(VarCurr) <=> (v118(VarCurr) | v121(VarCurr)))) | (v117(constB129) <=> (v118(constB129) | v121(constB129)))),
% 14.99/10.26 inference(quant_inst,[status(thm)],[])).
% 14.99/10.26 tff(14537,plain,
% 14.99/10.26 (v117(constB129) <=> (v118(constB129) | v121(constB129))),
% 14.99/10.26 inference(unit_resolution,[status(thm)],[14536, 834])).
% 14.99/10.26 tff(14538,plain,
% 14.99/10.26 (((~![VarCurr: $i] : (v121(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex1)))))) | (v121(constB129) <=> (~(v90(constB129, bitIndex2) | (~v90(constB129, bitIndex1)) | v90(constB129, bitIndex0))))) <=> ((~![VarCurr: $i] : (v121(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex1)))))) | (v121(constB129) <=> (~(v90(constB129, bitIndex2) | (~v90(constB129, bitIndex1)) | v90(constB129, bitIndex0)))))),
% 14.99/10.26 inference(rewrite,[status(thm)],[])).
% 14.99/10.26 tff(14539,plain,
% 14.99/10.26 ((v121(constB129) <=> (~(v90(constB129, bitIndex0) | v90(constB129, bitIndex2) | (~v90(constB129, bitIndex1))))) <=> (v121(constB129) <=> (~(v90(constB129, bitIndex2) | (~v90(constB129, bitIndex1)) | v90(constB129, bitIndex0))))),
% 14.99/10.26 inference(rewrite,[status(thm)],[])).
% 14.99/10.26 tff(14540,plain,
% 14.99/10.26 (((~![VarCurr: $i] : (v121(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex1)))))) | (v121(constB129) <=> (~(v90(constB129, bitIndex0) | v90(constB129, bitIndex2) | (~v90(constB129, bitIndex1)))))) <=> ((~![VarCurr: $i] : (v121(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex1)))))) | (v121(constB129) <=> (~(v90(constB129, bitIndex2) | (~v90(constB129, bitIndex1)) | v90(constB129, bitIndex0)))))),
% 14.99/10.26 inference(monotonicity,[status(thm)],[14539])).
% 14.99/10.26 tff(14541,plain,
% 14.99/10.26 (((~![VarCurr: $i] : (v121(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex1)))))) | (v121(constB129) <=> (~(v90(constB129, bitIndex0) | v90(constB129, bitIndex2) | (~v90(constB129, bitIndex1)))))) <=> ((~![VarCurr: $i] : (v121(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex1)))))) | (v121(constB129) <=> (~(v90(constB129, bitIndex2) | (~v90(constB129, bitIndex1)) | v90(constB129, bitIndex0)))))),
% 14.99/10.26 inference(transitivity,[status(thm)],[14540, 14538])).
% 14.99/10.26 tff(14542,plain,
% 14.99/10.26 ((~![VarCurr: $i] : (v121(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex1)))))) | (v121(constB129) <=> (~(v90(constB129, bitIndex0) | v90(constB129, bitIndex2) | (~v90(constB129, bitIndex1)))))),
% 14.99/10.26 inference(quant_inst,[status(thm)],[])).
% 14.99/10.26 tff(14543,plain,
% 14.99/10.26 ((~![VarCurr: $i] : (v121(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex1)))))) | (v121(constB129) <=> (~(v90(constB129, bitIndex2) | (~v90(constB129, bitIndex1)) | v90(constB129, bitIndex0))))),
% 14.99/10.26 inference(modus_ponens,[status(thm)],[14542, 14541])).
% 14.99/10.26 tff(14544,plain,
% 14.99/10.26 (v121(constB129) <=> (~(v90(constB129, bitIndex2) | (~v90(constB129, bitIndex1)) | v90(constB129, bitIndex0)))),
% 14.99/10.26 inference(unit_resolution,[status(thm)],[14543, 849])).
% 14.99/10.26 tff(14545,plain,
% 14.99/10.26 (nextState(constB128, constB129) <=> nextState(constB128, constB129)),
% 14.99/10.26 inference(rewrite,[status(thm)],[])).
% 14.99/10.26 tff(14546,axiom,(nextState(constB128, constB129)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_128')).
% 14.99/10.26 tff(14547,plain,
% 14.99/10.26 (nextState(constB128, constB129)),
% 14.99/10.26 inference(modus_ponens,[status(thm)],[14546, 14545])).
% 14.99/10.26 tff(14548,plain,
% 14.99/10.26 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB128, constB129)) | (v100(constB129) <=> (~((~v101(constB129)) | (~v110(constB129))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB128, constB129)) | (v100(constB129) <=> (~((~v101(constB129)) | (~v110(constB129))))))),
% 14.99/10.26 inference(rewrite,[status(thm)],[])).
% 14.99/10.26 tff(14549,plain,
% 14.99/10.26 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB128, constB129)) | (v100(constB129) <=> (~((~v101(constB129)) | (~v110(constB129))))))),
% 14.99/10.26 inference(quant_inst,[status(thm)],[])).
% 14.99/10.26 tff(14550,plain,
% 14.99/10.26 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB128, constB129)) | (v100(constB129) <=> (~((~v101(constB129)) | (~v110(constB129)))))),
% 14.99/10.26 inference(modus_ponens,[status(thm)],[14549, 14548])).
% 14.99/10.26 tff(14551,plain,
% 14.99/10.26 (v100(constB129) <=> (~((~v101(constB129)) | (~v110(constB129))))),
% 14.99/10.26 inference(unit_resolution,[status(thm)],[14550, 14547, 430])).
% 14.99/10.26 tff(14552,plain,
% 14.99/10.26 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB128, constB129)) | (v101(constB129) <=> (~((~v1(constB129)) | (~v102(constB129))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB128, constB129)) | (v101(constB129) <=> (~((~v1(constB129)) | (~v102(constB129))))))),
% 14.99/10.26 inference(rewrite,[status(thm)],[])).
% 14.99/10.26 tff(14553,plain,
% 14.99/10.26 (((~nextState(constB128, constB129)) | (v101(constB129) <=> (~((~v102(constB129)) | (~v1(constB129)))))) <=> ((~nextState(constB128, constB129)) | (v101(constB129) <=> (~((~v1(constB129)) | (~v102(constB129))))))),
% 14.99/10.26 inference(rewrite,[status(thm)],[])).
% 14.99/10.26 tff(14554,plain,
% 14.99/10.26 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB128, constB129)) | (v101(constB129) <=> (~((~v102(constB129)) | (~v1(constB129))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB128, constB129)) | (v101(constB129) <=> (~((~v1(constB129)) | (~v102(constB129)))))))),
% 14.99/10.26 inference(monotonicity,[status(thm)],[14553])).
% 14.99/10.26 tff(14555,plain,
% 14.99/10.26 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB128, constB129)) | (v101(constB129) <=> (~((~v102(constB129)) | (~v1(constB129))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB128, constB129)) | (v101(constB129) <=> (~((~v1(constB129)) | (~v102(constB129))))))),
% 14.99/10.26 inference(transitivity,[status(thm)],[14554, 14552])).
% 14.99/10.26 tff(14556,plain,
% 14.99/10.26 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB128, constB129)) | (v101(constB129) <=> (~((~v102(constB129)) | (~v1(constB129))))))),
% 14.99/10.26 inference(quant_inst,[status(thm)],[])).
% 14.99/10.26 tff(14557,plain,
% 14.99/10.26 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB128, constB129)) | (v101(constB129) <=> (~((~v1(constB129)) | (~v102(constB129)))))),
% 14.99/10.26 inference(modus_ponens,[status(thm)],[14556, 14555])).
% 14.99/10.26 tff(14558,plain,
% 14.99/10.26 (v101(constB129) <=> (~((~v1(constB129)) | (~v102(constB129))))),
% 14.99/10.26 inference(unit_resolution,[status(thm)],[14557, 14547, 450])).
% 14.99/10.26 tff(14559,plain,
% 14.99/10.26 (((~v1(constB129)) | (~v102(constB129))) | v1(constB129)),
% 14.99/10.26 inference(tautology,[status(thm)],[])).
% 14.99/10.26 tff(14560,plain,
% 14.99/10.26 ((~v1(constB129)) | (~v102(constB129))),
% 14.99/10.26 inference(unit_resolution,[status(thm)],[14559, 14506])).
% 14.99/10.26 tff(14561,plain,
% 14.99/10.26 ((~(v101(constB129) <=> (~((~v1(constB129)) | (~v102(constB129)))))) | (~v101(constB129)) | (~((~v1(constB129)) | (~v102(constB129))))),
% 14.99/10.26 inference(tautology,[status(thm)],[])).
% 14.99/10.26 tff(14562,plain,
% 14.99/10.26 ((~(v101(constB129) <=> (~((~v1(constB129)) | (~v102(constB129)))))) | (~v101(constB129))),
% 14.99/10.26 inference(unit_resolution,[status(thm)],[14561, 14560])).
% 14.99/10.26 tff(14563,plain,
% 14.99/10.26 (~v101(constB129)),
% 14.99/10.26 inference(unit_resolution,[status(thm)],[14562, 14558])).
% 14.99/10.26 tff(14564,plain,
% 14.99/10.26 (((~v101(constB129)) | (~v110(constB129))) | v101(constB129)),
% 14.99/10.26 inference(tautology,[status(thm)],[])).
% 14.99/10.26 tff(14565,plain,
% 14.99/10.26 ((~v101(constB129)) | (~v110(constB129))),
% 14.99/10.26 inference(unit_resolution,[status(thm)],[14564, 14563])).
% 14.99/10.26 tff(14566,plain,
% 14.99/10.26 ((~(v100(constB129) <=> (~((~v101(constB129)) | (~v110(constB129)))))) | (~v100(constB129)) | (~((~v101(constB129)) | (~v110(constB129))))),
% 14.99/10.26 inference(tautology,[status(thm)],[])).
% 14.99/10.26 tff(14567,plain,
% 14.99/10.26 (~v100(constB129)),
% 14.99/10.26 inference(unit_resolution,[status(thm)],[14566, 14565, 14551])).
% 14.99/10.26 tff(14568,plain,
% 14.99/10.26 (((~![VarCurr: $i, VarNext: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v90(VarCurr, B))))) | (v100(constB129) | (~nextState(constB128, constB129)) | ![B: $i] : ((~less_3(B)) | (v90(constB129, B) <=> v90(constB128, B))))) <=> ((~![VarCurr: $i, VarNext: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v90(VarCurr, B))))) | v100(constB129) | (~nextState(constB128, constB129)) | ![B: $i] : ((~less_3(B)) | (v90(constB129, B) <=> v90(constB128, B))))),
% 14.99/10.26 inference(rewrite,[status(thm)],[])).
% 14.99/10.26 tff(14569,plain,
% 14.99/10.26 ((~![VarCurr: $i, VarNext: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v90(VarCurr, B))))) | (v100(constB129) | (~nextState(constB128, constB129)) | ![B: $i] : ((~less_3(B)) | (v90(constB129, B) <=> v90(constB128, B))))),
% 14.99/10.26 inference(quant_inst,[status(thm)],[])).
% 14.99/10.26 tff(14570,plain,
% 14.99/10.26 ((~![VarCurr: $i, VarNext: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v90(VarCurr, B))))) | v100(constB129) | (~nextState(constB128, constB129)) | ![B: $i] : ((~less_3(B)) | (v90(constB129, B) <=> v90(constB128, B)))),
% 14.99/10.26 inference(modus_ponens,[status(thm)],[14569, 14568])).
% 14.99/10.26 tff(14571,plain,
% 14.99/10.26 (v100(constB129) | ![B: $i] : ((~less_3(B)) | (v90(constB129, B) <=> v90(constB128, B)))),
% 14.99/10.26 inference(unit_resolution,[status(thm)],[14570, 14547, 479])).
% 14.99/10.26 tff(14572,plain,
% 14.99/10.26 (![B: $i] : ((~less_3(B)) | (v90(constB129, B) <=> v90(constB128, B)))),
% 14.99/10.26 inference(unit_resolution,[status(thm)],[14571, 14567])).
% 14.99/10.26 tff(14573,plain,
% 14.99/10.26 (((~![B: $i] : ((~less_3(B)) | (v90(constB129, B) <=> v90(constB128, B)))) | ((~less_3(bitIndex2)) | (v90(constB129, bitIndex2) <=> v90(constB128, bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v90(constB129, B) <=> v90(constB128, B)))) | (~less_3(bitIndex2)) | (v90(constB129, bitIndex2) <=> v90(constB128, bitIndex2)))),
% 14.99/10.26 inference(rewrite,[status(thm)],[])).
% 14.99/10.26 tff(14574,plain,
% 14.99/10.26 ((~![B: $i] : ((~less_3(B)) | (v90(constB129, B) <=> v90(constB128, B)))) | ((~less_3(bitIndex2)) | (v90(constB129, bitIndex2) <=> v90(constB128, bitIndex2)))),
% 14.99/10.26 inference(quant_inst,[status(thm)],[])).
% 14.99/10.26 tff(14575,plain,
% 14.99/10.26 ((~![B: $i] : ((~less_3(B)) | (v90(constB129, B) <=> v90(constB128, B)))) | (~less_3(bitIndex2)) | (v90(constB129, bitIndex2) <=> v90(constB128, bitIndex2))),
% 14.99/10.26 inference(modus_ponens,[status(thm)],[14574, 14573])).
% 14.99/10.26 tff(14576,plain,
% 14.99/10.26 (v90(constB129, bitIndex2) <=> v90(constB128, bitIndex2)),
% 14.99/10.26 inference(unit_resolution,[status(thm)],[14575, 413, 14572])).
% 14.99/10.26 tff(14577,plain,
% 14.99/10.26 (nextState(constB127, constB128) <=> nextState(constB127, constB128)),
% 14.99/10.26 inference(rewrite,[status(thm)],[])).
% 14.99/10.26 tff(14578,axiom,(nextState(constB127, constB128)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_127')).
% 14.99/10.26 tff(14579,plain,
% 14.99/10.26 (nextState(constB127, constB128)),
% 14.99/10.26 inference(modus_ponens,[status(thm)],[14578, 14577])).
% 14.99/10.26 tff(14580,plain,
% 14.99/10.26 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB127, constB128)) | (v100(constB128) <=> (~((~v101(constB128)) | (~v110(constB128))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB127, constB128)) | (v100(constB128) <=> (~((~v101(constB128)) | (~v110(constB128))))))),
% 14.99/10.26 inference(rewrite,[status(thm)],[])).
% 14.99/10.26 tff(14581,plain,
% 14.99/10.26 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB127, constB128)) | (v100(constB128) <=> (~((~v101(constB128)) | (~v110(constB128))))))),
% 14.99/10.26 inference(quant_inst,[status(thm)],[])).
% 14.99/10.26 tff(14582,plain,
% 14.99/10.26 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB127, constB128)) | (v100(constB128) <=> (~((~v101(constB128)) | (~v110(constB128)))))),
% 14.99/10.26 inference(modus_ponens,[status(thm)],[14581, 14580])).
% 14.99/10.26 tff(14583,plain,
% 14.99/10.26 (v100(constB128) <=> (~((~v101(constB128)) | (~v110(constB128))))),
% 14.99/10.26 inference(unit_resolution,[status(thm)],[14582, 14579, 430])).
% 14.99/10.26 tff(14584,plain,
% 14.99/10.26 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB127, constB128)) | (v101(constB128) <=> (~((~v1(constB128)) | (~v102(constB128))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB127, constB128)) | (v101(constB128) <=> (~((~v1(constB128)) | (~v102(constB128))))))),
% 14.99/10.26 inference(rewrite,[status(thm)],[])).
% 14.99/10.26 tff(14585,plain,
% 14.99/10.26 (((~nextState(constB127, constB128)) | (v101(constB128) <=> (~((~v102(constB128)) | (~v1(constB128)))))) <=> ((~nextState(constB127, constB128)) | (v101(constB128) <=> (~((~v1(constB128)) | (~v102(constB128))))))),
% 14.99/10.26 inference(rewrite,[status(thm)],[])).
% 14.99/10.26 tff(14586,plain,
% 14.99/10.26 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB127, constB128)) | (v101(constB128) <=> (~((~v102(constB128)) | (~v1(constB128))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB127, constB128)) | (v101(constB128) <=> (~((~v1(constB128)) | (~v102(constB128)))))))),
% 14.99/10.26 inference(monotonicity,[status(thm)],[14585])).
% 14.99/10.26 tff(14587,plain,
% 14.99/10.26 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB127, constB128)) | (v101(constB128) <=> (~((~v102(constB128)) | (~v1(constB128))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB127, constB128)) | (v101(constB128) <=> (~((~v1(constB128)) | (~v102(constB128))))))),
% 14.99/10.26 inference(transitivity,[status(thm)],[14586, 14584])).
% 14.99/10.26 tff(14588,plain,
% 14.99/10.26 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB127, constB128)) | (v101(constB128) <=> (~((~v102(constB128)) | (~v1(constB128))))))),
% 14.99/10.26 inference(quant_inst,[status(thm)],[])).
% 14.99/10.26 tff(14589,plain,
% 14.99/10.26 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB127, constB128)) | (v101(constB128) <=> (~((~v1(constB128)) | (~v102(constB128)))))),
% 14.99/10.26 inference(modus_ponens,[status(thm)],[14588, 14587])).
% 14.99/10.26 tff(14590,plain,
% 14.99/10.26 (v101(constB128) <=> (~((~v1(constB128)) | (~v102(constB128))))),
% 14.99/10.26 inference(unit_resolution,[status(thm)],[14589, 14579, 450])).
% 14.99/10.26 tff(14591,plain,
% 14.99/10.26 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | ((~nextState(constB127, constB128)) | ((~v102(constB128)) <=> v104(constB128)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | (~nextState(constB127, constB128)) | ((~v102(constB128)) <=> v104(constB128)))),
% 14.99/10.26 inference(rewrite,[status(thm)],[])).
% 14.99/10.26 tff(14592,plain,
% 14.99/10.26 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | ((~nextState(constB127, constB128)) | ((~v102(constB128)) <=> v104(constB128)))),
% 14.99/10.26 inference(quant_inst,[status(thm)],[])).
% 14.99/10.26 tff(14593,plain,
% 14.99/10.26 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | (~nextState(constB127, constB128)) | ((~v102(constB128)) <=> v104(constB128))),
% 14.99/10.26 inference(modus_ponens,[status(thm)],[14592, 14591])).
% 14.99/10.26 tff(14594,plain,
% 14.99/10.26 ((~v102(constB128)) <=> v104(constB128)),
% 14.99/10.26 inference(unit_resolution,[status(thm)],[14593, 14579, 512])).
% 14.99/10.26 tff(14595,plain,
% 14.99/10.26 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB127, constB128)) | (v104(constB128) <=> v1(constB127)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | (~nextState(constB127, constB128)) | (v104(constB128) <=> v1(constB127)))),
% 14.99/10.26 inference(rewrite,[status(thm)],[])).
% 14.99/10.26 tff(14596,plain,
% 14.99/10.26 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB127, constB128)) | (v104(constB128) <=> v1(constB127)))),
% 14.99/10.26 inference(quant_inst,[status(thm)],[])).
% 14.99/10.26 tff(14597,plain,
% 14.99/10.26 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | (~nextState(constB127, constB128)) | (v104(constB128) <=> v1(constB127))),
% 14.99/10.26 inference(modus_ponens,[status(thm)],[14596, 14595])).
% 14.99/10.26 tff(14598,plain,
% 14.99/10.26 (v104(constB128) <=> v1(constB127)),
% 14.99/10.26 inference(unit_resolution,[status(thm)],[14597, 14579, 526])).
% 14.99/10.26 tff(14599,plain,
% 14.99/10.26 ((~v1(constB127)) <=> (~v1(constB127))),
% 14.99/10.26 inference(rewrite,[status(thm)],[])).
% 14.99/10.26 tff(14600,axiom,(~v1(constB127)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_127')).
% 14.99/10.26 tff(14601,plain,
% 14.99/10.26 (~v1(constB127)),
% 14.99/10.26 inference(modus_ponens,[status(thm)],[14600, 14599])).
% 14.99/10.26 tff(14602,plain,
% 14.99/10.26 ((~(v104(constB128) <=> v1(constB127))) | (~v104(constB128)) | v1(constB127)),
% 14.99/10.26 inference(tautology,[status(thm)],[])).
% 14.99/10.26 tff(14603,plain,
% 14.99/10.26 ((~(v104(constB128) <=> v1(constB127))) | (~v104(constB128))),
% 14.99/10.26 inference(unit_resolution,[status(thm)],[14602, 14601])).
% 14.99/10.26 tff(14604,plain,
% 14.99/10.26 (~v104(constB128)),
% 14.99/10.26 inference(unit_resolution,[status(thm)],[14603, 14598])).
% 14.99/10.26 tff(14605,plain,
% 14.99/10.26 ((~((~v102(constB128)) <=> v104(constB128))) | v102(constB128) | v104(constB128)),
% 14.99/10.26 inference(tautology,[status(thm)],[])).
% 14.99/10.26 tff(14606,plain,
% 14.99/10.26 (v102(constB128)),
% 14.99/10.26 inference(unit_resolution,[status(thm)],[14605, 14604, 14594])).
% 14.99/10.26 tff(14607,plain,
% 14.99/10.26 (v1(constB128) <=> v1(constB128)),
% 14.99/10.26 inference(rewrite,[status(thm)],[])).
% 14.99/10.26 tff(14608,axiom,(v1(constB128)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_128')).
% 14.99/10.26 tff(14609,plain,
% 14.99/10.26 (v1(constB128)),
% 14.99/10.26 inference(modus_ponens,[status(thm)],[14608, 14607])).
% 14.99/10.26 tff(14610,plain,
% 14.99/10.26 ((~((~v1(constB128)) | (~v102(constB128)))) | (~v1(constB128)) | (~v102(constB128))),
% 14.99/10.26 inference(tautology,[status(thm)],[])).
% 14.99/10.26 tff(14611,plain,
% 14.99/10.26 ((~((~v1(constB128)) | (~v102(constB128)))) | (~v102(constB128))),
% 14.99/10.26 inference(unit_resolution,[status(thm)],[14610, 14609])).
% 14.99/10.26 tff(14612,plain,
% 14.99/10.26 (~((~v1(constB128)) | (~v102(constB128)))),
% 14.99/10.26 inference(unit_resolution,[status(thm)],[14611, 14606])).
% 14.99/10.26 tff(14613,plain,
% 14.99/10.26 ((~(v101(constB128) <=> (~((~v1(constB128)) | (~v102(constB128)))))) | v101(constB128) | ((~v1(constB128)) | (~v102(constB128)))),
% 14.99/10.26 inference(tautology,[status(thm)],[])).
% 14.99/10.26 tff(14614,plain,
% 14.99/10.26 (v101(constB128)),
% 14.99/10.26 inference(unit_resolution,[status(thm)],[14613, 14612, 14590])).
% 14.99/10.26 tff(14615,plain,
% 14.99/10.26 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | ((~nextState(constB127, constB128)) | (v110(constB128) <=> v108(constB127)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | (~nextState(constB127, constB128)) | (v110(constB128) <=> v108(constB127)))),
% 14.99/10.26 inference(rewrite,[status(thm)],[])).
% 14.99/10.26 tff(14616,plain,
% 14.99/10.26 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | ((~nextState(constB127, constB128)) | (v110(constB128) <=> v108(constB127)))),
% 14.99/10.26 inference(quant_inst,[status(thm)],[])).
% 14.99/10.26 tff(14617,plain,
% 14.99/10.26 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | (~nextState(constB127, constB128)) | (v110(constB128) <=> v108(constB127))),
% 14.99/10.26 inference(modus_ponens,[status(thm)],[14616, 14615])).
% 14.99/10.26 tff(14618,plain,
% 14.99/10.26 (v110(constB128) <=> v108(constB127)),
% 14.99/10.26 inference(unit_resolution,[status(thm)],[14617, 14579, 556])).
% 14.99/10.26 tff(14619,plain,
% 14.99/10.26 ((~![VarCurr: $i] : (v108(VarCurr) <=> (v111(VarCurr) | v112(VarCurr)))) | (v108(constB127) <=> (v111(constB127) | v112(constB127)))),
% 14.99/10.26 inference(quant_inst,[status(thm)],[])).
% 14.99/10.27 tff(14620,plain,
% 14.99/10.27 (v108(constB127) <=> (v111(constB127) | v112(constB127))),
% 14.99/10.27 inference(unit_resolution,[status(thm)],[14619, 567])).
% 14.99/10.27 tff(14621,plain,
% 14.99/10.27 ((~![VarCurr: $i] : (v112(VarCurr) <=> (~((~v113(VarCurr)) | (~v126(VarCurr)))))) | (v112(constB127) <=> (~((~v113(constB127)) | (~v126(constB127)))))),
% 14.99/10.27 inference(quant_inst,[status(thm)],[])).
% 14.99/10.27 tff(14622,plain,
% 14.99/10.27 (v112(constB127) <=> (~((~v113(constB127)) | (~v126(constB127))))),
% 14.99/10.27 inference(unit_resolution,[status(thm)],[14621, 579])).
% 14.99/10.27 tff(14623,plain,
% 14.99/10.27 ((~![VarCurr: $i] : (v113(VarCurr) <=> (v114(VarCurr) | v125(VarCurr)))) | (v113(constB127) <=> (v114(constB127) | v125(constB127)))),
% 14.99/10.27 inference(quant_inst,[status(thm)],[])).
% 14.99/10.27 tff(14624,plain,
% 14.99/10.27 (v113(constB127) <=> (v114(constB127) | v125(constB127))),
% 14.99/10.27 inference(unit_resolution,[status(thm)],[14623, 588])).
% 14.99/10.27 tff(14625,plain,
% 14.99/10.27 ((~![VarCurr: $i] : (v114(VarCurr) <=> (v115(VarCurr) | v124(VarCurr)))) | (v114(constB127) <=> (v115(constB127) | v124(constB127)))),
% 14.99/10.27 inference(quant_inst,[status(thm)],[])).
% 14.99/10.27 tff(14626,plain,
% 14.99/10.27 (v114(constB127) <=> (v115(constB127) | v124(constB127))),
% 14.99/10.27 inference(unit_resolution,[status(thm)],[14625, 597])).
% 14.99/10.27 tff(14627,plain,
% 14.99/10.27 ((~![VarCurr: $i] : (v115(VarCurr) <=> (v116(VarCurr) | v123(VarCurr)))) | (v115(constB127) <=> (v116(constB127) | v123(constB127)))),
% 14.99/10.27 inference(quant_inst,[status(thm)],[])).
% 14.99/10.27 tff(14628,plain,
% 14.99/10.27 (v115(constB127) <=> (v116(constB127) | v123(constB127))),
% 14.99/10.27 inference(unit_resolution,[status(thm)],[14627, 606])).
% 14.99/10.27 tff(14629,plain,
% 14.99/10.27 ((~![VarCurr: $i] : (v116(VarCurr) <=> (v117(VarCurr) | v122(VarCurr)))) | (v116(constB127) <=> (v117(constB127) | v122(constB127)))),
% 14.99/10.27 inference(quant_inst,[status(thm)],[])).
% 14.99/10.27 tff(14630,plain,
% 14.99/10.27 (v116(constB127) <=> (v117(constB127) | v122(constB127))),
% 14.99/10.27 inference(unit_resolution,[status(thm)],[14629, 719])).
% 14.99/10.27 tff(14631,plain,
% 14.99/10.27 ((~![VarCurr: $i] : (v117(VarCurr) <=> (v118(VarCurr) | v121(VarCurr)))) | (v117(constB127) <=> (v118(constB127) | v121(constB127)))),
% 14.99/10.27 inference(quant_inst,[status(thm)],[])).
% 14.99/10.27 tff(14632,plain,
% 14.99/10.27 (v117(constB127) <=> (v118(constB127) | v121(constB127))),
% 14.99/10.27 inference(unit_resolution,[status(thm)],[14631, 834])).
% 14.99/10.27 tff(14633,plain,
% 14.99/10.27 ((~![VarCurr: $i] : (v118(VarCurr) <=> (v119(VarCurr) | v120(VarCurr)))) | (v118(constB127) <=> (v119(constB127) | v120(constB127)))),
% 14.99/10.27 inference(quant_inst,[status(thm)],[])).
% 14.99/10.27 tff(14634,plain,
% 14.99/10.27 (v118(constB127) <=> (v119(constB127) | v120(constB127))),
% 14.99/10.27 inference(unit_resolution,[status(thm)],[14633, 951])).
% 14.99/10.27 tff(14635,plain,
% 14.99/10.27 (((~![VarCurr: $i] : (v120(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)))))) | (v120(constB127) <=> (~(v90(constB127, bitIndex2) | v90(constB127, bitIndex1) | (~v90(constB127, bitIndex0)))))) <=> ((~![VarCurr: $i] : (v120(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)))))) | (v120(constB127) <=> (~(v90(constB127, bitIndex2) | v90(constB127, bitIndex1) | (~v90(constB127, bitIndex0))))))),
% 14.99/10.27 inference(rewrite,[status(thm)],[])).
% 14.99/10.27 tff(14636,plain,
% 14.99/10.27 ((v120(constB127) <=> (~(v90(constB127, bitIndex1) | v90(constB127, bitIndex2) | (~v90(constB127, bitIndex0))))) <=> (v120(constB127) <=> (~(v90(constB127, bitIndex2) | v90(constB127, bitIndex1) | (~v90(constB127, bitIndex0)))))),
% 14.99/10.27 inference(rewrite,[status(thm)],[])).
% 14.99/10.27 tff(14637,plain,
% 14.99/10.27 (((~![VarCurr: $i] : (v120(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)))))) | (v120(constB127) <=> (~(v90(constB127, bitIndex1) | v90(constB127, bitIndex2) | (~v90(constB127, bitIndex0)))))) <=> ((~![VarCurr: $i] : (v120(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)))))) | (v120(constB127) <=> (~(v90(constB127, bitIndex2) | v90(constB127, bitIndex1) | (~v90(constB127, bitIndex0))))))),
% 14.99/10.27 inference(monotonicity,[status(thm)],[14636])).
% 14.99/10.27 tff(14638,plain,
% 14.99/10.27 (((~![VarCurr: $i] : (v120(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)))))) | (v120(constB127) <=> (~(v90(constB127, bitIndex1) | v90(constB127, bitIndex2) | (~v90(constB127, bitIndex0)))))) <=> ((~![VarCurr: $i] : (v120(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)))))) | (v120(constB127) <=> (~(v90(constB127, bitIndex2) | v90(constB127, bitIndex1) | (~v90(constB127, bitIndex0))))))),
% 14.99/10.27 inference(transitivity,[status(thm)],[14637, 14635])).
% 14.99/10.27 tff(14639,plain,
% 14.99/10.27 ((~![VarCurr: $i] : (v120(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)))))) | (v120(constB127) <=> (~(v90(constB127, bitIndex1) | v90(constB127, bitIndex2) | (~v90(constB127, bitIndex0)))))),
% 14.99/10.27 inference(quant_inst,[status(thm)],[])).
% 14.99/10.27 tff(14640,plain,
% 14.99/10.27 ((~![VarCurr: $i] : (v120(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)))))) | (v120(constB127) <=> (~(v90(constB127, bitIndex2) | v90(constB127, bitIndex1) | (~v90(constB127, bitIndex0)))))),
% 14.99/10.27 inference(modus_ponens,[status(thm)],[14639, 14638])).
% 14.99/10.27 tff(14641,plain,
% 14.99/10.27 (v120(constB127) <=> (~(v90(constB127, bitIndex2) | v90(constB127, bitIndex1) | (~v90(constB127, bitIndex0))))),
% 14.99/10.27 inference(unit_resolution,[status(thm)],[14640, 966])).
% 14.99/10.27 tff(14642,plain,
% 14.99/10.27 (nextState(constB126, constB127) <=> nextState(constB126, constB127)),
% 14.99/10.27 inference(rewrite,[status(thm)],[])).
% 14.99/10.27 tff(14643,axiom,(nextState(constB126, constB127)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_126')).
% 14.99/10.27 tff(14644,plain,
% 14.99/10.27 (nextState(constB126, constB127)),
% 14.99/10.27 inference(modus_ponens,[status(thm)],[14643, 14642])).
% 14.99/10.27 tff(14645,plain,
% 14.99/10.27 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB126, constB127)) | (v100(constB127) <=> (~((~v101(constB127)) | (~v110(constB127))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB126, constB127)) | (v100(constB127) <=> (~((~v101(constB127)) | (~v110(constB127))))))),
% 14.99/10.27 inference(rewrite,[status(thm)],[])).
% 14.99/10.27 tff(14646,plain,
% 14.99/10.27 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB126, constB127)) | (v100(constB127) <=> (~((~v101(constB127)) | (~v110(constB127))))))),
% 14.99/10.27 inference(quant_inst,[status(thm)],[])).
% 14.99/10.27 tff(14647,plain,
% 14.99/10.27 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB126, constB127)) | (v100(constB127) <=> (~((~v101(constB127)) | (~v110(constB127)))))),
% 14.99/10.27 inference(modus_ponens,[status(thm)],[14646, 14645])).
% 14.99/10.27 tff(14648,plain,
% 14.99/10.27 (v100(constB127) <=> (~((~v101(constB127)) | (~v110(constB127))))),
% 14.99/10.27 inference(unit_resolution,[status(thm)],[14647, 14644, 430])).
% 14.99/10.27 tff(14649,plain,
% 14.99/10.27 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB126, constB127)) | (v101(constB127) <=> (~((~v1(constB127)) | (~v102(constB127))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB126, constB127)) | (v101(constB127) <=> (~((~v1(constB127)) | (~v102(constB127))))))),
% 14.99/10.27 inference(rewrite,[status(thm)],[])).
% 14.99/10.27 tff(14650,plain,
% 14.99/10.27 (((~nextState(constB126, constB127)) | (v101(constB127) <=> (~((~v102(constB127)) | (~v1(constB127)))))) <=> ((~nextState(constB126, constB127)) | (v101(constB127) <=> (~((~v1(constB127)) | (~v102(constB127))))))),
% 14.99/10.27 inference(rewrite,[status(thm)],[])).
% 14.99/10.27 tff(14651,plain,
% 14.99/10.27 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB126, constB127)) | (v101(constB127) <=> (~((~v102(constB127)) | (~v1(constB127))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB126, constB127)) | (v101(constB127) <=> (~((~v1(constB127)) | (~v102(constB127)))))))),
% 14.99/10.27 inference(monotonicity,[status(thm)],[14650])).
% 14.99/10.27 tff(14652,plain,
% 14.99/10.27 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB126, constB127)) | (v101(constB127) <=> (~((~v102(constB127)) | (~v1(constB127))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB126, constB127)) | (v101(constB127) <=> (~((~v1(constB127)) | (~v102(constB127))))))),
% 14.99/10.27 inference(transitivity,[status(thm)],[14651, 14649])).
% 14.99/10.27 tff(14653,plain,
% 14.99/10.27 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB126, constB127)) | (v101(constB127) <=> (~((~v102(constB127)) | (~v1(constB127))))))),
% 14.99/10.27 inference(quant_inst,[status(thm)],[])).
% 14.99/10.27 tff(14654,plain,
% 14.99/10.27 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB126, constB127)) | (v101(constB127) <=> (~((~v1(constB127)) | (~v102(constB127)))))),
% 14.99/10.27 inference(modus_ponens,[status(thm)],[14653, 14652])).
% 14.99/10.27 tff(14655,plain,
% 14.99/10.27 (v101(constB127) <=> (~((~v1(constB127)) | (~v102(constB127))))),
% 14.99/10.27 inference(unit_resolution,[status(thm)],[14654, 14644, 450])).
% 14.99/10.27 tff(14656,plain,
% 14.99/10.27 (((~v1(constB127)) | (~v102(constB127))) | v1(constB127)),
% 14.99/10.27 inference(tautology,[status(thm)],[])).
% 14.99/10.27 tff(14657,plain,
% 14.99/10.27 ((~v1(constB127)) | (~v102(constB127))),
% 14.99/10.27 inference(unit_resolution,[status(thm)],[14656, 14601])).
% 14.99/10.27 tff(14658,plain,
% 14.99/10.27 ((~(v101(constB127) <=> (~((~v1(constB127)) | (~v102(constB127)))))) | (~v101(constB127)) | (~((~v1(constB127)) | (~v102(constB127))))),
% 14.99/10.27 inference(tautology,[status(thm)],[])).
% 14.99/10.27 tff(14659,plain,
% 14.99/10.27 ((~(v101(constB127) <=> (~((~v1(constB127)) | (~v102(constB127)))))) | (~v101(constB127))),
% 14.99/10.27 inference(unit_resolution,[status(thm)],[14658, 14657])).
% 14.99/10.27 tff(14660,plain,
% 14.99/10.27 (~v101(constB127)),
% 14.99/10.27 inference(unit_resolution,[status(thm)],[14659, 14655])).
% 14.99/10.27 tff(14661,plain,
% 14.99/10.27 (((~v101(constB127)) | (~v110(constB127))) | v101(constB127)),
% 14.99/10.27 inference(tautology,[status(thm)],[])).
% 14.99/10.27 tff(14662,plain,
% 14.99/10.27 ((~v101(constB127)) | (~v110(constB127))),
% 14.99/10.27 inference(unit_resolution,[status(thm)],[14661, 14660])).
% 14.99/10.27 tff(14663,plain,
% 14.99/10.27 ((~(v100(constB127) <=> (~((~v101(constB127)) | (~v110(constB127)))))) | (~v100(constB127)) | (~((~v101(constB127)) | (~v110(constB127))))),
% 14.99/10.27 inference(tautology,[status(thm)],[])).
% 14.99/10.27 tff(14664,plain,
% 14.99/10.27 (~v100(constB127)),
% 14.99/10.27 inference(unit_resolution,[status(thm)],[14663, 14662, 14648])).
% 14.99/10.27 tff(14665,plain,
% 14.99/10.27 (((~![VarCurr: $i, VarNext: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v90(VarCurr, B))))) | (v100(constB127) | (~nextState(constB126, constB127)) | ![B: $i] : ((~less_3(B)) | (v90(constB127, B) <=> v90(constB126, B))))) <=> ((~![VarCurr: $i, VarNext: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v90(VarCurr, B))))) | v100(constB127) | (~nextState(constB126, constB127)) | ![B: $i] : ((~less_3(B)) | (v90(constB127, B) <=> v90(constB126, B))))),
% 14.99/10.27 inference(rewrite,[status(thm)],[])).
% 14.99/10.27 tff(14666,plain,
% 14.99/10.27 ((~![VarCurr: $i, VarNext: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v90(VarCurr, B))))) | (v100(constB127) | (~nextState(constB126, constB127)) | ![B: $i] : ((~less_3(B)) | (v90(constB127, B) <=> v90(constB126, B))))),
% 14.99/10.27 inference(quant_inst,[status(thm)],[])).
% 14.99/10.27 tff(14667,plain,
% 14.99/10.27 ((~![VarCurr: $i, VarNext: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v90(VarCurr, B))))) | v100(constB127) | (~nextState(constB126, constB127)) | ![B: $i] : ((~less_3(B)) | (v90(constB127, B) <=> v90(constB126, B)))),
% 14.99/10.27 inference(modus_ponens,[status(thm)],[14666, 14665])).
% 14.99/10.27 tff(14668,plain,
% 14.99/10.27 (v100(constB127) | ![B: $i] : ((~less_3(B)) | (v90(constB127, B) <=> v90(constB126, B)))),
% 14.99/10.27 inference(unit_resolution,[status(thm)],[14667, 14644, 479])).
% 14.99/10.27 tff(14669,plain,
% 14.99/10.27 (![B: $i] : ((~less_3(B)) | (v90(constB127, B) <=> v90(constB126, B)))),
% 14.99/10.27 inference(unit_resolution,[status(thm)],[14668, 14664])).
% 14.99/10.27 tff(14670,plain,
% 14.99/10.27 (((~![B: $i] : ((~less_3(B)) | (v90(constB127, B) <=> v90(constB126, B)))) | ((~less_3(bitIndex2)) | (v90(constB127, bitIndex2) <=> v90(constB126, bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v90(constB127, B) <=> v90(constB126, B)))) | (~less_3(bitIndex2)) | (v90(constB127, bitIndex2) <=> v90(constB126, bitIndex2)))),
% 14.99/10.27 inference(rewrite,[status(thm)],[])).
% 14.99/10.27 tff(14671,plain,
% 14.99/10.27 ((~![B: $i] : ((~less_3(B)) | (v90(constB127, B) <=> v90(constB126, B)))) | ((~less_3(bitIndex2)) | (v90(constB127, bitIndex2) <=> v90(constB126, bitIndex2)))),
% 14.99/10.27 inference(quant_inst,[status(thm)],[])).
% 14.99/10.27 tff(14672,plain,
% 14.99/10.27 ((~![B: $i] : ((~less_3(B)) | (v90(constB127, B) <=> v90(constB126, B)))) | (~less_3(bitIndex2)) | (v90(constB127, bitIndex2) <=> v90(constB126, bitIndex2))),
% 14.99/10.27 inference(modus_ponens,[status(thm)],[14671, 14670])).
% 14.99/10.27 tff(14673,plain,
% 14.99/10.27 (v90(constB127, bitIndex2) <=> v90(constB126, bitIndex2)),
% 14.99/10.27 inference(unit_resolution,[status(thm)],[14672, 413, 14669])).
% 14.99/10.27 tff(14674,plain,
% 14.99/10.27 (nextState(constB125, constB126) <=> nextState(constB125, constB126)),
% 14.99/10.27 inference(rewrite,[status(thm)],[])).
% 14.99/10.27 tff(14675,axiom,(nextState(constB125, constB126)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_125')).
% 14.99/10.27 tff(14676,plain,
% 14.99/10.27 (nextState(constB125, constB126)),
% 14.99/10.27 inference(modus_ponens,[status(thm)],[14675, 14674])).
% 14.99/10.27 tff(14677,plain,
% 14.99/10.27 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB125, constB126)) | (v100(constB126) <=> (~((~v101(constB126)) | (~v110(constB126))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB125, constB126)) | (v100(constB126) <=> (~((~v101(constB126)) | (~v110(constB126))))))),
% 14.99/10.27 inference(rewrite,[status(thm)],[])).
% 14.99/10.27 tff(14678,plain,
% 14.99/10.27 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB125, constB126)) | (v100(constB126) <=> (~((~v101(constB126)) | (~v110(constB126))))))),
% 14.99/10.27 inference(quant_inst,[status(thm)],[])).
% 14.99/10.27 tff(14679,plain,
% 14.99/10.27 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB125, constB126)) | (v100(constB126) <=> (~((~v101(constB126)) | (~v110(constB126)))))),
% 14.99/10.27 inference(modus_ponens,[status(thm)],[14678, 14677])).
% 14.99/10.27 tff(14680,plain,
% 14.99/10.27 (v100(constB126) <=> (~((~v101(constB126)) | (~v110(constB126))))),
% 14.99/10.27 inference(unit_resolution,[status(thm)],[14679, 14676, 430])).
% 14.99/10.27 tff(14681,plain,
% 14.99/10.27 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB125, constB126)) | (v101(constB126) <=> (~((~v1(constB126)) | (~v102(constB126))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB125, constB126)) | (v101(constB126) <=> (~((~v1(constB126)) | (~v102(constB126))))))),
% 14.99/10.27 inference(rewrite,[status(thm)],[])).
% 14.99/10.27 tff(14682,plain,
% 14.99/10.27 (((~nextState(constB125, constB126)) | (v101(constB126) <=> (~((~v102(constB126)) | (~v1(constB126)))))) <=> ((~nextState(constB125, constB126)) | (v101(constB126) <=> (~((~v1(constB126)) | (~v102(constB126))))))),
% 14.99/10.27 inference(rewrite,[status(thm)],[])).
% 14.99/10.27 tff(14683,plain,
% 14.99/10.27 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB125, constB126)) | (v101(constB126) <=> (~((~v102(constB126)) | (~v1(constB126))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB125, constB126)) | (v101(constB126) <=> (~((~v1(constB126)) | (~v102(constB126)))))))),
% 14.99/10.27 inference(monotonicity,[status(thm)],[14682])).
% 14.99/10.27 tff(14684,plain,
% 14.99/10.27 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB125, constB126)) | (v101(constB126) <=> (~((~v102(constB126)) | (~v1(constB126))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB125, constB126)) | (v101(constB126) <=> (~((~v1(constB126)) | (~v102(constB126))))))),
% 14.99/10.27 inference(transitivity,[status(thm)],[14683, 14681])).
% 14.99/10.27 tff(14685,plain,
% 14.99/10.27 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB125, constB126)) | (v101(constB126) <=> (~((~v102(constB126)) | (~v1(constB126))))))),
% 14.99/10.27 inference(quant_inst,[status(thm)],[])).
% 14.99/10.27 tff(14686,plain,
% 14.99/10.27 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB125, constB126)) | (v101(constB126) <=> (~((~v1(constB126)) | (~v102(constB126)))))),
% 14.99/10.27 inference(modus_ponens,[status(thm)],[14685, 14684])).
% 14.99/10.27 tff(14687,plain,
% 14.99/10.27 (v101(constB126) <=> (~((~v1(constB126)) | (~v102(constB126))))),
% 14.99/10.27 inference(unit_resolution,[status(thm)],[14686, 14676, 450])).
% 14.99/10.27 tff(14688,plain,
% 14.99/10.27 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | ((~nextState(constB125, constB126)) | ((~v102(constB126)) <=> v104(constB126)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | (~nextState(constB125, constB126)) | ((~v102(constB126)) <=> v104(constB126)))),
% 14.99/10.27 inference(rewrite,[status(thm)],[])).
% 14.99/10.27 tff(14689,plain,
% 14.99/10.27 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | ((~nextState(constB125, constB126)) | ((~v102(constB126)) <=> v104(constB126)))),
% 14.99/10.27 inference(quant_inst,[status(thm)],[])).
% 14.99/10.27 tff(14690,plain,
% 14.99/10.27 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | (~nextState(constB125, constB126)) | ((~v102(constB126)) <=> v104(constB126))),
% 14.99/10.27 inference(modus_ponens,[status(thm)],[14689, 14688])).
% 14.99/10.27 tff(14691,plain,
% 14.99/10.27 ((~v102(constB126)) <=> v104(constB126)),
% 14.99/10.27 inference(unit_resolution,[status(thm)],[14690, 14676, 512])).
% 14.99/10.27 tff(14692,plain,
% 14.99/10.27 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB125, constB126)) | (v104(constB126) <=> v1(constB125)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | (~nextState(constB125, constB126)) | (v104(constB126) <=> v1(constB125)))),
% 14.99/10.27 inference(rewrite,[status(thm)],[])).
% 14.99/10.27 tff(14693,plain,
% 14.99/10.27 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB125, constB126)) | (v104(constB126) <=> v1(constB125)))),
% 14.99/10.27 inference(quant_inst,[status(thm)],[])).
% 14.99/10.27 tff(14694,plain,
% 14.99/10.27 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | (~nextState(constB125, constB126)) | (v104(constB126) <=> v1(constB125))),
% 14.99/10.27 inference(modus_ponens,[status(thm)],[14693, 14692])).
% 14.99/10.27 tff(14695,plain,
% 14.99/10.27 (v104(constB126) <=> v1(constB125)),
% 14.99/10.27 inference(unit_resolution,[status(thm)],[14694, 14676, 526])).
% 14.99/10.27 tff(14696,plain,
% 14.99/10.27 ((~v1(constB125)) <=> (~v1(constB125))),
% 14.99/10.27 inference(rewrite,[status(thm)],[])).
% 14.99/10.27 tff(14697,axiom,(~v1(constB125)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_125')).
% 14.99/10.27 tff(14698,plain,
% 14.99/10.27 (~v1(constB125)),
% 14.99/10.27 inference(modus_ponens,[status(thm)],[14697, 14696])).
% 14.99/10.27 tff(14699,plain,
% 14.99/10.27 ((~(v104(constB126) <=> v1(constB125))) | (~v104(constB126)) | v1(constB125)),
% 14.99/10.27 inference(tautology,[status(thm)],[])).
% 14.99/10.27 tff(14700,plain,
% 14.99/10.27 ((~(v104(constB126) <=> v1(constB125))) | (~v104(constB126))),
% 14.99/10.27 inference(unit_resolution,[status(thm)],[14699, 14698])).
% 14.99/10.27 tff(14701,plain,
% 14.99/10.27 (~v104(constB126)),
% 14.99/10.27 inference(unit_resolution,[status(thm)],[14700, 14695])).
% 14.99/10.27 tff(14702,plain,
% 14.99/10.27 ((~((~v102(constB126)) <=> v104(constB126))) | v102(constB126) | v104(constB126)),
% 14.99/10.27 inference(tautology,[status(thm)],[])).
% 14.99/10.27 tff(14703,plain,
% 14.99/10.27 (v102(constB126)),
% 14.99/10.27 inference(unit_resolution,[status(thm)],[14702, 14701, 14691])).
% 14.99/10.27 tff(14704,plain,
% 14.99/10.27 (v1(constB126) <=> v1(constB126)),
% 14.99/10.27 inference(rewrite,[status(thm)],[])).
% 14.99/10.27 tff(14705,axiom,(v1(constB126)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_126')).
% 14.99/10.27 tff(14706,plain,
% 14.99/10.27 (v1(constB126)),
% 14.99/10.27 inference(modus_ponens,[status(thm)],[14705, 14704])).
% 14.99/10.27 tff(14707,plain,
% 14.99/10.27 ((~((~v1(constB126)) | (~v102(constB126)))) | (~v1(constB126)) | (~v102(constB126))),
% 14.99/10.27 inference(tautology,[status(thm)],[])).
% 14.99/10.27 tff(14708,plain,
% 14.99/10.27 ((~((~v1(constB126)) | (~v102(constB126)))) | (~v102(constB126))),
% 14.99/10.27 inference(unit_resolution,[status(thm)],[14707, 14706])).
% 14.99/10.27 tff(14709,plain,
% 14.99/10.27 (~((~v1(constB126)) | (~v102(constB126)))),
% 14.99/10.27 inference(unit_resolution,[status(thm)],[14708, 14703])).
% 14.99/10.27 tff(14710,plain,
% 14.99/10.27 ((~(v101(constB126) <=> (~((~v1(constB126)) | (~v102(constB126)))))) | v101(constB126) | ((~v1(constB126)) | (~v102(constB126)))),
% 14.99/10.27 inference(tautology,[status(thm)],[])).
% 14.99/10.27 tff(14711,plain,
% 14.99/10.27 (v101(constB126)),
% 14.99/10.27 inference(unit_resolution,[status(thm)],[14710, 14709, 14687])).
% 14.99/10.27 tff(14712,plain,
% 14.99/10.27 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | ((~nextState(constB125, constB126)) | (v110(constB126) <=> v108(constB125)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | (~nextState(constB125, constB126)) | (v110(constB126) <=> v108(constB125)))),
% 14.99/10.27 inference(rewrite,[status(thm)],[])).
% 14.99/10.27 tff(14713,plain,
% 14.99/10.27 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | ((~nextState(constB125, constB126)) | (v110(constB126) <=> v108(constB125)))),
% 14.99/10.27 inference(quant_inst,[status(thm)],[])).
% 14.99/10.27 tff(14714,plain,
% 14.99/10.27 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | (~nextState(constB125, constB126)) | (v110(constB126) <=> v108(constB125))),
% 14.99/10.27 inference(modus_ponens,[status(thm)],[14713, 14712])).
% 14.99/10.27 tff(14715,plain,
% 14.99/10.27 (v110(constB126) <=> v108(constB125)),
% 14.99/10.27 inference(unit_resolution,[status(thm)],[14714, 14676, 556])).
% 14.99/10.27 tff(14716,plain,
% 14.99/10.27 ((~![VarCurr: $i] : (v108(VarCurr) <=> (v111(VarCurr) | v112(VarCurr)))) | (v108(constB125) <=> (v111(constB125) | v112(constB125)))),
% 14.99/10.27 inference(quant_inst,[status(thm)],[])).
% 14.99/10.27 tff(14717,plain,
% 14.99/10.27 (v108(constB125) <=> (v111(constB125) | v112(constB125))),
% 14.99/10.27 inference(unit_resolution,[status(thm)],[14716, 567])).
% 14.99/10.27 tff(14718,plain,
% 14.99/10.27 ((~![VarCurr: $i] : (v112(VarCurr) <=> (~((~v113(VarCurr)) | (~v126(VarCurr)))))) | (v112(constB125) <=> (~((~v113(constB125)) | (~v126(constB125)))))),
% 14.99/10.27 inference(quant_inst,[status(thm)],[])).
% 14.99/10.27 tff(14719,plain,
% 14.99/10.27 (v112(constB125) <=> (~((~v113(constB125)) | (~v126(constB125))))),
% 14.99/10.27 inference(unit_resolution,[status(thm)],[14718, 579])).
% 14.99/10.27 tff(14720,plain,
% 14.99/10.27 ((~![VarCurr: $i] : (v113(VarCurr) <=> (v114(VarCurr) | v125(VarCurr)))) | (v113(constB125) <=> (v114(constB125) | v125(constB125)))),
% 14.99/10.27 inference(quant_inst,[status(thm)],[])).
% 14.99/10.27 tff(14721,plain,
% 14.99/10.27 (v113(constB125) <=> (v114(constB125) | v125(constB125))),
% 14.99/10.27 inference(unit_resolution,[status(thm)],[14720, 588])).
% 14.99/10.27 tff(14722,plain,
% 14.99/10.27 (((~![VarCurr: $i] : (v125(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2)))))) | (v125(constB125) <=> (~((~v90(constB125, bitIndex2)) | (~v90(constB125, bitIndex1)) | v90(constB125, bitIndex0))))) <=> ((~![VarCurr: $i] : (v125(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2)))))) | (v125(constB125) <=> (~((~v90(constB125, bitIndex2)) | (~v90(constB125, bitIndex1)) | v90(constB125, bitIndex0)))))),
% 14.99/10.27 inference(rewrite,[status(thm)],[])).
% 14.99/10.27 tff(14723,plain,
% 14.99/10.27 ((v125(constB125) <=> (~(v90(constB125, bitIndex0) | (~v90(constB125, bitIndex1)) | (~v90(constB125, bitIndex2))))) <=> (v125(constB125) <=> (~((~v90(constB125, bitIndex2)) | (~v90(constB125, bitIndex1)) | v90(constB125, bitIndex0))))),
% 14.99/10.27 inference(rewrite,[status(thm)],[])).
% 14.99/10.27 tff(14724,plain,
% 14.99/10.27 (((~![VarCurr: $i] : (v125(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2)))))) | (v125(constB125) <=> (~(v90(constB125, bitIndex0) | (~v90(constB125, bitIndex1)) | (~v90(constB125, bitIndex2)))))) <=> ((~![VarCurr: $i] : (v125(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2)))))) | (v125(constB125) <=> (~((~v90(constB125, bitIndex2)) | (~v90(constB125, bitIndex1)) | v90(constB125, bitIndex0)))))),
% 14.99/10.27 inference(monotonicity,[status(thm)],[14723])).
% 14.99/10.27 tff(14725,plain,
% 14.99/10.27 (((~![VarCurr: $i] : (v125(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2)))))) | (v125(constB125) <=> (~(v90(constB125, bitIndex0) | (~v90(constB125, bitIndex1)) | (~v90(constB125, bitIndex2)))))) <=> ((~![VarCurr: $i] : (v125(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2)))))) | (v125(constB125) <=> (~((~v90(constB125, bitIndex2)) | (~v90(constB125, bitIndex1)) | v90(constB125, bitIndex0)))))),
% 14.99/10.27 inference(transitivity,[status(thm)],[14724, 14722])).
% 14.99/10.27 tff(14726,plain,
% 14.99/10.27 ((~![VarCurr: $i] : (v125(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2)))))) | (v125(constB125) <=> (~(v90(constB125, bitIndex0) | (~v90(constB125, bitIndex1)) | (~v90(constB125, bitIndex2)))))),
% 14.99/10.27 inference(quant_inst,[status(thm)],[])).
% 14.99/10.27 tff(14727,plain,
% 14.99/10.27 ((~![VarCurr: $i] : (v125(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2)))))) | (v125(constB125) <=> (~((~v90(constB125, bitIndex2)) | (~v90(constB125, bitIndex1)) | v90(constB125, bitIndex0))))),
% 14.99/10.27 inference(modus_ponens,[status(thm)],[14726, 14725])).
% 14.99/10.27 tff(14728,plain,
% 14.99/10.27 (v125(constB125) <=> (~((~v90(constB125, bitIndex2)) | (~v90(constB125, bitIndex1)) | v90(constB125, bitIndex0)))),
% 14.99/10.27 inference(unit_resolution,[status(thm)],[14727, 1066])).
% 14.99/10.27 tff(14729,plain,
% 14.99/10.27 (nextState(constB124, constB125) <=> nextState(constB124, constB125)),
% 14.99/10.27 inference(rewrite,[status(thm)],[])).
% 14.99/10.27 tff(14730,axiom,(nextState(constB124, constB125)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_124')).
% 14.99/10.27 tff(14731,plain,
% 14.99/10.27 (nextState(constB124, constB125)),
% 14.99/10.27 inference(modus_ponens,[status(thm)],[14730, 14729])).
% 14.99/10.27 tff(14732,plain,
% 14.99/10.27 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB124, constB125)) | (v100(constB125) <=> (~((~v101(constB125)) | (~v110(constB125))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB124, constB125)) | (v100(constB125) <=> (~((~v101(constB125)) | (~v110(constB125))))))),
% 14.99/10.27 inference(rewrite,[status(thm)],[])).
% 14.99/10.27 tff(14733,plain,
% 14.99/10.27 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB124, constB125)) | (v100(constB125) <=> (~((~v101(constB125)) | (~v110(constB125))))))),
% 14.99/10.27 inference(quant_inst,[status(thm)],[])).
% 14.99/10.27 tff(14734,plain,
% 14.99/10.27 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB124, constB125)) | (v100(constB125) <=> (~((~v101(constB125)) | (~v110(constB125)))))),
% 14.99/10.28 inference(modus_ponens,[status(thm)],[14733, 14732])).
% 14.99/10.28 tff(14735,plain,
% 14.99/10.28 (v100(constB125) <=> (~((~v101(constB125)) | (~v110(constB125))))),
% 14.99/10.28 inference(unit_resolution,[status(thm)],[14734, 14731, 430])).
% 14.99/10.28 tff(14736,plain,
% 14.99/10.28 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB124, constB125)) | (v101(constB125) <=> (~((~v1(constB125)) | (~v102(constB125))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB124, constB125)) | (v101(constB125) <=> (~((~v1(constB125)) | (~v102(constB125))))))),
% 14.99/10.28 inference(rewrite,[status(thm)],[])).
% 14.99/10.28 tff(14737,plain,
% 14.99/10.28 (((~nextState(constB124, constB125)) | (v101(constB125) <=> (~((~v102(constB125)) | (~v1(constB125)))))) <=> ((~nextState(constB124, constB125)) | (v101(constB125) <=> (~((~v1(constB125)) | (~v102(constB125))))))),
% 14.99/10.28 inference(rewrite,[status(thm)],[])).
% 14.99/10.28 tff(14738,plain,
% 14.99/10.28 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB124, constB125)) | (v101(constB125) <=> (~((~v102(constB125)) | (~v1(constB125))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB124, constB125)) | (v101(constB125) <=> (~((~v1(constB125)) | (~v102(constB125)))))))),
% 14.99/10.28 inference(monotonicity,[status(thm)],[14737])).
% 14.99/10.28 tff(14739,plain,
% 14.99/10.28 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB124, constB125)) | (v101(constB125) <=> (~((~v102(constB125)) | (~v1(constB125))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB124, constB125)) | (v101(constB125) <=> (~((~v1(constB125)) | (~v102(constB125))))))),
% 14.99/10.28 inference(transitivity,[status(thm)],[14738, 14736])).
% 14.99/10.28 tff(14740,plain,
% 14.99/10.28 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB124, constB125)) | (v101(constB125) <=> (~((~v102(constB125)) | (~v1(constB125))))))),
% 14.99/10.28 inference(quant_inst,[status(thm)],[])).
% 14.99/10.28 tff(14741,plain,
% 14.99/10.28 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB124, constB125)) | (v101(constB125) <=> (~((~v1(constB125)) | (~v102(constB125)))))),
% 14.99/10.28 inference(modus_ponens,[status(thm)],[14740, 14739])).
% 14.99/10.28 tff(14742,plain,
% 14.99/10.28 (v101(constB125) <=> (~((~v1(constB125)) | (~v102(constB125))))),
% 14.99/10.28 inference(unit_resolution,[status(thm)],[14741, 14731, 450])).
% 14.99/10.28 tff(14743,plain,
% 14.99/10.28 (((~v1(constB125)) | (~v102(constB125))) | v1(constB125)),
% 14.99/10.28 inference(tautology,[status(thm)],[])).
% 14.99/10.28 tff(14744,plain,
% 14.99/10.28 ((~v1(constB125)) | (~v102(constB125))),
% 14.99/10.28 inference(unit_resolution,[status(thm)],[14743, 14698])).
% 14.99/10.28 tff(14745,plain,
% 14.99/10.28 ((~(v101(constB125) <=> (~((~v1(constB125)) | (~v102(constB125)))))) | (~v101(constB125)) | (~((~v1(constB125)) | (~v102(constB125))))),
% 14.99/10.28 inference(tautology,[status(thm)],[])).
% 14.99/10.28 tff(14746,plain,
% 14.99/10.28 ((~(v101(constB125) <=> (~((~v1(constB125)) | (~v102(constB125)))))) | (~v101(constB125))),
% 14.99/10.28 inference(unit_resolution,[status(thm)],[14745, 14744])).
% 14.99/10.28 tff(14747,plain,
% 14.99/10.28 (~v101(constB125)),
% 14.99/10.28 inference(unit_resolution,[status(thm)],[14746, 14742])).
% 14.99/10.28 tff(14748,plain,
% 14.99/10.28 (((~v101(constB125)) | (~v110(constB125))) | v101(constB125)),
% 14.99/10.28 inference(tautology,[status(thm)],[])).
% 14.99/10.28 tff(14749,plain,
% 14.99/10.28 ((~v101(constB125)) | (~v110(constB125))),
% 14.99/10.28 inference(unit_resolution,[status(thm)],[14748, 14747])).
% 14.99/10.28 tff(14750,plain,
% 14.99/10.28 ((~(v100(constB125) <=> (~((~v101(constB125)) | (~v110(constB125)))))) | (~v100(constB125)) | (~((~v101(constB125)) | (~v110(constB125))))),
% 14.99/10.28 inference(tautology,[status(thm)],[])).
% 14.99/10.28 tff(14751,plain,
% 14.99/10.28 (~v100(constB125)),
% 14.99/10.28 inference(unit_resolution,[status(thm)],[14750, 14749, 14735])).
% 14.99/10.28 tff(14752,plain,
% 14.99/10.28 (((~![VarCurr: $i, VarNext: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v90(VarCurr, B))))) | (v100(constB125) | (~nextState(constB124, constB125)) | ![B: $i] : ((~less_3(B)) | (v90(constB125, B) <=> v90(constB124, B))))) <=> ((~![VarCurr: $i, VarNext: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v90(VarCurr, B))))) | v100(constB125) | (~nextState(constB124, constB125)) | ![B: $i] : ((~less_3(B)) | (v90(constB125, B) <=> v90(constB124, B))))),
% 14.99/10.28 inference(rewrite,[status(thm)],[])).
% 14.99/10.28 tff(14753,plain,
% 14.99/10.28 ((~![VarCurr: $i, VarNext: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v90(VarCurr, B))))) | (v100(constB125) | (~nextState(constB124, constB125)) | ![B: $i] : ((~less_3(B)) | (v90(constB125, B) <=> v90(constB124, B))))),
% 14.99/10.28 inference(quant_inst,[status(thm)],[])).
% 14.99/10.28 tff(14754,plain,
% 14.99/10.28 ((~![VarCurr: $i, VarNext: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v90(VarCurr, B))))) | v100(constB125) | (~nextState(constB124, constB125)) | ![B: $i] : ((~less_3(B)) | (v90(constB125, B) <=> v90(constB124, B)))),
% 14.99/10.28 inference(modus_ponens,[status(thm)],[14753, 14752])).
% 14.99/10.28 tff(14755,plain,
% 14.99/10.28 (v100(constB125) | ![B: $i] : ((~less_3(B)) | (v90(constB125, B) <=> v90(constB124, B)))),
% 14.99/10.28 inference(unit_resolution,[status(thm)],[14754, 14731, 479])).
% 14.99/10.28 tff(14756,plain,
% 14.99/10.28 (![B: $i] : ((~less_3(B)) | (v90(constB125, B) <=> v90(constB124, B)))),
% 14.99/10.28 inference(unit_resolution,[status(thm)],[14755, 14751])).
% 14.99/10.28 tff(14757,plain,
% 14.99/10.28 (((~![B: $i] : ((~less_3(B)) | (v90(constB125, B) <=> v90(constB124, B)))) | ((~less_3(bitIndex2)) | (v90(constB125, bitIndex2) <=> v90(constB124, bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v90(constB125, B) <=> v90(constB124, B)))) | (~less_3(bitIndex2)) | (v90(constB125, bitIndex2) <=> v90(constB124, bitIndex2)))),
% 14.99/10.28 inference(rewrite,[status(thm)],[])).
% 14.99/10.28 tff(14758,plain,
% 14.99/10.28 ((~![B: $i] : ((~less_3(B)) | (v90(constB125, B) <=> v90(constB124, B)))) | ((~less_3(bitIndex2)) | (v90(constB125, bitIndex2) <=> v90(constB124, bitIndex2)))),
% 14.99/10.28 inference(quant_inst,[status(thm)],[])).
% 14.99/10.28 tff(14759,plain,
% 14.99/10.28 ((~![B: $i] : ((~less_3(B)) | (v90(constB125, B) <=> v90(constB124, B)))) | (~less_3(bitIndex2)) | (v90(constB125, bitIndex2) <=> v90(constB124, bitIndex2))),
% 14.99/10.28 inference(modus_ponens,[status(thm)],[14758, 14757])).
% 14.99/10.28 tff(14760,plain,
% 14.99/10.28 (v90(constB125, bitIndex2) <=> v90(constB124, bitIndex2)),
% 14.99/10.28 inference(unit_resolution,[status(thm)],[14759, 413, 14756])).
% 14.99/10.28 tff(14761,plain,
% 14.99/10.28 (nextState(constB123, constB124) <=> nextState(constB123, constB124)),
% 14.99/10.28 inference(rewrite,[status(thm)],[])).
% 14.99/10.28 tff(14762,axiom,(nextState(constB123, constB124)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_123')).
% 14.99/10.28 tff(14763,plain,
% 14.99/10.28 (nextState(constB123, constB124)),
% 14.99/10.28 inference(modus_ponens,[status(thm)],[14762, 14761])).
% 14.99/10.28 tff(14764,plain,
% 14.99/10.28 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB123, constB124)) | (v100(constB124) <=> (~((~v101(constB124)) | (~v110(constB124))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB123, constB124)) | (v100(constB124) <=> (~((~v101(constB124)) | (~v110(constB124))))))),
% 14.99/10.28 inference(rewrite,[status(thm)],[])).
% 14.99/10.28 tff(14765,plain,
% 14.99/10.28 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB123, constB124)) | (v100(constB124) <=> (~((~v101(constB124)) | (~v110(constB124))))))),
% 14.99/10.28 inference(quant_inst,[status(thm)],[])).
% 15.08/10.28 tff(14766,plain,
% 15.08/10.28 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB123, constB124)) | (v100(constB124) <=> (~((~v101(constB124)) | (~v110(constB124)))))),
% 15.08/10.28 inference(modus_ponens,[status(thm)],[14765, 14764])).
% 15.08/10.28 tff(14767,plain,
% 15.08/10.28 (v100(constB124) <=> (~((~v101(constB124)) | (~v110(constB124))))),
% 15.08/10.28 inference(unit_resolution,[status(thm)],[14766, 14763, 430])).
% 15.08/10.28 tff(14768,plain,
% 15.08/10.28 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB123, constB124)) | (v101(constB124) <=> (~((~v1(constB124)) | (~v102(constB124))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB123, constB124)) | (v101(constB124) <=> (~((~v1(constB124)) | (~v102(constB124))))))),
% 15.08/10.28 inference(rewrite,[status(thm)],[])).
% 15.08/10.28 tff(14769,plain,
% 15.08/10.28 (((~nextState(constB123, constB124)) | (v101(constB124) <=> (~((~v102(constB124)) | (~v1(constB124)))))) <=> ((~nextState(constB123, constB124)) | (v101(constB124) <=> (~((~v1(constB124)) | (~v102(constB124))))))),
% 15.08/10.28 inference(rewrite,[status(thm)],[])).
% 15.08/10.28 tff(14770,plain,
% 15.08/10.28 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB123, constB124)) | (v101(constB124) <=> (~((~v102(constB124)) | (~v1(constB124))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB123, constB124)) | (v101(constB124) <=> (~((~v1(constB124)) | (~v102(constB124)))))))),
% 15.08/10.28 inference(monotonicity,[status(thm)],[14769])).
% 15.08/10.28 tff(14771,plain,
% 15.08/10.28 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB123, constB124)) | (v101(constB124) <=> (~((~v102(constB124)) | (~v1(constB124))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB123, constB124)) | (v101(constB124) <=> (~((~v1(constB124)) | (~v102(constB124))))))),
% 15.08/10.28 inference(transitivity,[status(thm)],[14770, 14768])).
% 15.08/10.28 tff(14772,plain,
% 15.08/10.28 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB123, constB124)) | (v101(constB124) <=> (~((~v102(constB124)) | (~v1(constB124))))))),
% 15.08/10.28 inference(quant_inst,[status(thm)],[])).
% 15.08/10.28 tff(14773,plain,
% 15.08/10.28 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB123, constB124)) | (v101(constB124) <=> (~((~v1(constB124)) | (~v102(constB124)))))),
% 15.08/10.28 inference(modus_ponens,[status(thm)],[14772, 14771])).
% 15.08/10.28 tff(14774,plain,
% 15.08/10.28 (v101(constB124) <=> (~((~v1(constB124)) | (~v102(constB124))))),
% 15.08/10.28 inference(unit_resolution,[status(thm)],[14773, 14763, 450])).
% 15.08/10.28 tff(14775,plain,
% 15.08/10.28 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | ((~nextState(constB123, constB124)) | ((~v102(constB124)) <=> v104(constB124)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | (~nextState(constB123, constB124)) | ((~v102(constB124)) <=> v104(constB124)))),
% 15.08/10.28 inference(rewrite,[status(thm)],[])).
% 15.08/10.28 tff(14776,plain,
% 15.08/10.28 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | ((~nextState(constB123, constB124)) | ((~v102(constB124)) <=> v104(constB124)))),
% 15.08/10.28 inference(quant_inst,[status(thm)],[])).
% 15.08/10.28 tff(14777,plain,
% 15.08/10.28 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | (~nextState(constB123, constB124)) | ((~v102(constB124)) <=> v104(constB124))),
% 15.08/10.28 inference(modus_ponens,[status(thm)],[14776, 14775])).
% 15.08/10.28 tff(14778,plain,
% 15.08/10.28 ((~v102(constB124)) <=> v104(constB124)),
% 15.08/10.28 inference(unit_resolution,[status(thm)],[14777, 14763, 512])).
% 15.08/10.28 tff(14779,plain,
% 15.08/10.28 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB123, constB124)) | (v104(constB124) <=> v1(constB123)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | (~nextState(constB123, constB124)) | (v104(constB124) <=> v1(constB123)))),
% 15.08/10.28 inference(rewrite,[status(thm)],[])).
% 15.08/10.28 tff(14780,plain,
% 15.08/10.28 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB123, constB124)) | (v104(constB124) <=> v1(constB123)))),
% 15.08/10.28 inference(quant_inst,[status(thm)],[])).
% 15.08/10.28 tff(14781,plain,
% 15.08/10.28 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | (~nextState(constB123, constB124)) | (v104(constB124) <=> v1(constB123))),
% 15.08/10.28 inference(modus_ponens,[status(thm)],[14780, 14779])).
% 15.08/10.28 tff(14782,plain,
% 15.08/10.28 (v104(constB124) <=> v1(constB123)),
% 15.08/10.28 inference(unit_resolution,[status(thm)],[14781, 14763, 526])).
% 15.08/10.28 tff(14783,plain,
% 15.08/10.28 ((~v1(constB123)) <=> (~v1(constB123))),
% 15.08/10.28 inference(rewrite,[status(thm)],[])).
% 15.08/10.28 tff(14784,axiom,(~v1(constB123)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_123')).
% 15.08/10.28 tff(14785,plain,
% 15.08/10.28 (~v1(constB123)),
% 15.08/10.28 inference(modus_ponens,[status(thm)],[14784, 14783])).
% 15.08/10.28 tff(14786,plain,
% 15.08/10.28 ((~(v104(constB124) <=> v1(constB123))) | (~v104(constB124)) | v1(constB123)),
% 15.08/10.28 inference(tautology,[status(thm)],[])).
% 15.08/10.28 tff(14787,plain,
% 15.08/10.28 ((~(v104(constB124) <=> v1(constB123))) | (~v104(constB124))),
% 15.08/10.28 inference(unit_resolution,[status(thm)],[14786, 14785])).
% 15.08/10.28 tff(14788,plain,
% 15.08/10.28 (~v104(constB124)),
% 15.08/10.28 inference(unit_resolution,[status(thm)],[14787, 14782])).
% 15.08/10.28 tff(14789,plain,
% 15.08/10.28 ((~((~v102(constB124)) <=> v104(constB124))) | v102(constB124) | v104(constB124)),
% 15.08/10.28 inference(tautology,[status(thm)],[])).
% 15.08/10.28 tff(14790,plain,
% 15.08/10.28 (v102(constB124)),
% 15.08/10.28 inference(unit_resolution,[status(thm)],[14789, 14788, 14778])).
% 15.08/10.28 tff(14791,plain,
% 15.08/10.28 (v1(constB124) <=> v1(constB124)),
% 15.08/10.28 inference(rewrite,[status(thm)],[])).
% 15.08/10.28 tff(14792,axiom,(v1(constB124)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_124')).
% 15.08/10.28 tff(14793,plain,
% 15.08/10.28 (v1(constB124)),
% 15.08/10.28 inference(modus_ponens,[status(thm)],[14792, 14791])).
% 15.08/10.28 tff(14794,plain,
% 15.08/10.28 ((~((~v1(constB124)) | (~v102(constB124)))) | (~v1(constB124)) | (~v102(constB124))),
% 15.08/10.28 inference(tautology,[status(thm)],[])).
% 15.08/10.28 tff(14795,plain,
% 15.08/10.28 ((~((~v1(constB124)) | (~v102(constB124)))) | (~v102(constB124))),
% 15.08/10.28 inference(unit_resolution,[status(thm)],[14794, 14793])).
% 15.08/10.28 tff(14796,plain,
% 15.08/10.28 (~((~v1(constB124)) | (~v102(constB124)))),
% 15.08/10.28 inference(unit_resolution,[status(thm)],[14795, 14790])).
% 15.08/10.28 tff(14797,plain,
% 15.08/10.28 ((~(v101(constB124) <=> (~((~v1(constB124)) | (~v102(constB124)))))) | v101(constB124) | ((~v1(constB124)) | (~v102(constB124)))),
% 15.08/10.28 inference(tautology,[status(thm)],[])).
% 15.08/10.28 tff(14798,plain,
% 15.08/10.28 (v101(constB124)),
% 15.08/10.28 inference(unit_resolution,[status(thm)],[14797, 14796, 14774])).
% 15.08/10.28 tff(14799,plain,
% 15.08/10.28 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | ((~nextState(constB123, constB124)) | (v110(constB124) <=> v108(constB123)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | (~nextState(constB123, constB124)) | (v110(constB124) <=> v108(constB123)))),
% 15.08/10.28 inference(rewrite,[status(thm)],[])).
% 15.08/10.28 tff(14800,plain,
% 15.08/10.28 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | ((~nextState(constB123, constB124)) | (v110(constB124) <=> v108(constB123)))),
% 15.08/10.28 inference(quant_inst,[status(thm)],[])).
% 15.08/10.28 tff(14801,plain,
% 15.08/10.28 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | (~nextState(constB123, constB124)) | (v110(constB124) <=> v108(constB123))),
% 15.08/10.28 inference(modus_ponens,[status(thm)],[14800, 14799])).
% 15.08/10.28 tff(14802,plain,
% 15.08/10.28 (v110(constB124) <=> v108(constB123)),
% 15.08/10.28 inference(unit_resolution,[status(thm)],[14801, 14763, 556])).
% 15.08/10.28 tff(14803,plain,
% 15.08/10.28 ((~![VarCurr: $i] : (v108(VarCurr) <=> (v111(VarCurr) | v112(VarCurr)))) | (v108(constB123) <=> (v111(constB123) | v112(constB123)))),
% 15.08/10.28 inference(quant_inst,[status(thm)],[])).
% 15.08/10.28 tff(14804,plain,
% 15.08/10.28 (v108(constB123) <=> (v111(constB123) | v112(constB123))),
% 15.08/10.28 inference(unit_resolution,[status(thm)],[14803, 567])).
% 15.08/10.28 tff(14805,plain,
% 15.08/10.28 ((~![VarCurr: $i] : (v112(VarCurr) <=> (~((~v113(VarCurr)) | (~v126(VarCurr)))))) | (v112(constB123) <=> (~((~v113(constB123)) | (~v126(constB123)))))),
% 15.08/10.28 inference(quant_inst,[status(thm)],[])).
% 15.08/10.28 tff(14806,plain,
% 15.08/10.28 (v112(constB123) <=> (~((~v113(constB123)) | (~v126(constB123))))),
% 15.08/10.28 inference(unit_resolution,[status(thm)],[14805, 579])).
% 15.08/10.28 tff(14807,plain,
% 15.08/10.28 ((~![VarCurr: $i] : (v113(VarCurr) <=> (v114(VarCurr) | v125(VarCurr)))) | (v113(constB123) <=> (v114(constB123) | v125(constB123)))),
% 15.08/10.28 inference(quant_inst,[status(thm)],[])).
% 15.08/10.28 tff(14808,plain,
% 15.08/10.28 (v113(constB123) <=> (v114(constB123) | v125(constB123))),
% 15.08/10.28 inference(unit_resolution,[status(thm)],[14807, 588])).
% 15.08/10.28 tff(14809,plain,
% 15.08/10.28 ((~![VarCurr: $i] : (v114(VarCurr) <=> (v115(VarCurr) | v124(VarCurr)))) | (v114(constB123) <=> (v115(constB123) | v124(constB123)))),
% 15.08/10.28 inference(quant_inst,[status(thm)],[])).
% 15.08/10.28 tff(14810,plain,
% 15.08/10.28 (v114(constB123) <=> (v115(constB123) | v124(constB123))),
% 15.08/10.28 inference(unit_resolution,[status(thm)],[14809, 597])).
% 15.08/10.28 tff(14811,plain,
% 15.08/10.28 ((~![VarCurr: $i] : (v115(VarCurr) <=> (v116(VarCurr) | v123(VarCurr)))) | (v115(constB123) <=> (v116(constB123) | v123(constB123)))),
% 15.08/10.28 inference(quant_inst,[status(thm)],[])).
% 15.08/10.28 tff(14812,plain,
% 15.08/10.28 (v115(constB123) <=> (v116(constB123) | v123(constB123))),
% 15.08/10.28 inference(unit_resolution,[status(thm)],[14811, 606])).
% 15.08/10.28 tff(14813,plain,
% 15.08/10.28 (((~![VarCurr: $i] : (v123(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)))))) | (v123(constB123) <=> (~((~v90(constB123, bitIndex2)) | v90(constB123, bitIndex1) | v90(constB123, bitIndex0))))) <=> ((~![VarCurr: $i] : (v123(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)))))) | (v123(constB123) <=> (~((~v90(constB123, bitIndex2)) | v90(constB123, bitIndex1) | v90(constB123, bitIndex0)))))),
% 15.08/10.28 inference(rewrite,[status(thm)],[])).
% 15.08/10.28 tff(14814,plain,
% 15.08/10.28 ((v123(constB123) <=> (~(v90(constB123, bitIndex0) | v90(constB123, bitIndex1) | (~v90(constB123, bitIndex2))))) <=> (v123(constB123) <=> (~((~v90(constB123, bitIndex2)) | v90(constB123, bitIndex1) | v90(constB123, bitIndex0))))),
% 15.08/10.28 inference(rewrite,[status(thm)],[])).
% 15.08/10.28 tff(14815,plain,
% 15.08/10.28 (((~![VarCurr: $i] : (v123(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)))))) | (v123(constB123) <=> (~(v90(constB123, bitIndex0) | v90(constB123, bitIndex1) | (~v90(constB123, bitIndex2)))))) <=> ((~![VarCurr: $i] : (v123(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)))))) | (v123(constB123) <=> (~((~v90(constB123, bitIndex2)) | v90(constB123, bitIndex1) | v90(constB123, bitIndex0)))))),
% 15.08/10.28 inference(monotonicity,[status(thm)],[14814])).
% 15.08/10.28 tff(14816,plain,
% 15.08/10.28 (((~![VarCurr: $i] : (v123(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)))))) | (v123(constB123) <=> (~(v90(constB123, bitIndex0) | v90(constB123, bitIndex1) | (~v90(constB123, bitIndex2)))))) <=> ((~![VarCurr: $i] : (v123(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)))))) | (v123(constB123) <=> (~((~v90(constB123, bitIndex2)) | v90(constB123, bitIndex1) | v90(constB123, bitIndex0)))))),
% 15.08/10.28 inference(transitivity,[status(thm)],[14815, 14813])).
% 15.08/10.28 tff(14817,plain,
% 15.08/10.28 ((~![VarCurr: $i] : (v123(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)))))) | (v123(constB123) <=> (~(v90(constB123, bitIndex0) | v90(constB123, bitIndex1) | (~v90(constB123, bitIndex2)))))),
% 15.08/10.28 inference(quant_inst,[status(thm)],[])).
% 15.08/10.28 tff(14818,plain,
% 15.08/10.28 ((~![VarCurr: $i] : (v123(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)))))) | (v123(constB123) <=> (~((~v90(constB123, bitIndex2)) | v90(constB123, bitIndex1) | v90(constB123, bitIndex0))))),
% 15.08/10.28 inference(modus_ponens,[status(thm)],[14817, 14816])).
% 15.08/10.28 tff(14819,plain,
% 15.08/10.28 (v123(constB123) <=> (~((~v90(constB123, bitIndex2)) | v90(constB123, bitIndex1) | v90(constB123, bitIndex0)))),
% 15.08/10.28 inference(unit_resolution,[status(thm)],[14818, 621])).
% 15.08/10.28 tff(14820,plain,
% 15.08/10.28 (nextState(constB122, constB123) <=> nextState(constB122, constB123)),
% 15.08/10.28 inference(rewrite,[status(thm)],[])).
% 15.08/10.28 tff(14821,axiom,(nextState(constB122, constB123)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_122')).
% 15.08/10.28 tff(14822,plain,
% 15.08/10.28 (nextState(constB122, constB123)),
% 15.08/10.28 inference(modus_ponens,[status(thm)],[14821, 14820])).
% 15.08/10.28 tff(14823,plain,
% 15.08/10.28 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB122, constB123)) | (v100(constB123) <=> (~((~v101(constB123)) | (~v110(constB123))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB122, constB123)) | (v100(constB123) <=> (~((~v101(constB123)) | (~v110(constB123))))))),
% 15.08/10.28 inference(rewrite,[status(thm)],[])).
% 15.08/10.28 tff(14824,plain,
% 15.08/10.28 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB122, constB123)) | (v100(constB123) <=> (~((~v101(constB123)) | (~v110(constB123))))))),
% 15.08/10.28 inference(quant_inst,[status(thm)],[])).
% 15.08/10.28 tff(14825,plain,
% 15.08/10.28 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB122, constB123)) | (v100(constB123) <=> (~((~v101(constB123)) | (~v110(constB123)))))),
% 15.08/10.28 inference(modus_ponens,[status(thm)],[14824, 14823])).
% 15.08/10.28 tff(14826,plain,
% 15.08/10.28 (v100(constB123) <=> (~((~v101(constB123)) | (~v110(constB123))))),
% 15.08/10.28 inference(unit_resolution,[status(thm)],[14825, 14822, 430])).
% 15.08/10.28 tff(14827,plain,
% 15.08/10.28 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB122, constB123)) | (v101(constB123) <=> (~((~v1(constB123)) | (~v102(constB123))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB122, constB123)) | (v101(constB123) <=> (~((~v1(constB123)) | (~v102(constB123))))))),
% 15.08/10.28 inference(rewrite,[status(thm)],[])).
% 15.08/10.28 tff(14828,plain,
% 15.08/10.28 (((~nextState(constB122, constB123)) | (v101(constB123) <=> (~((~v102(constB123)) | (~v1(constB123)))))) <=> ((~nextState(constB122, constB123)) | (v101(constB123) <=> (~((~v1(constB123)) | (~v102(constB123))))))),
% 15.08/10.28 inference(rewrite,[status(thm)],[])).
% 15.08/10.28 tff(14829,plain,
% 15.08/10.28 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB122, constB123)) | (v101(constB123) <=> (~((~v102(constB123)) | (~v1(constB123))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB122, constB123)) | (v101(constB123) <=> (~((~v1(constB123)) | (~v102(constB123)))))))),
% 15.08/10.28 inference(monotonicity,[status(thm)],[14828])).
% 15.08/10.28 tff(14830,plain,
% 15.08/10.28 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB122, constB123)) | (v101(constB123) <=> (~((~v102(constB123)) | (~v1(constB123))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB122, constB123)) | (v101(constB123) <=> (~((~v1(constB123)) | (~v102(constB123))))))),
% 15.08/10.28 inference(transitivity,[status(thm)],[14829, 14827])).
% 15.08/10.28 tff(14831,plain,
% 15.08/10.28 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB122, constB123)) | (v101(constB123) <=> (~((~v102(constB123)) | (~v1(constB123))))))),
% 15.08/10.28 inference(quant_inst,[status(thm)],[])).
% 15.08/10.28 tff(14832,plain,
% 15.08/10.28 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB122, constB123)) | (v101(constB123) <=> (~((~v1(constB123)) | (~v102(constB123)))))),
% 15.08/10.28 inference(modus_ponens,[status(thm)],[14831, 14830])).
% 15.08/10.28 tff(14833,plain,
% 15.08/10.28 (v101(constB123) <=> (~((~v1(constB123)) | (~v102(constB123))))),
% 15.08/10.28 inference(unit_resolution,[status(thm)],[14832, 14822, 450])).
% 15.08/10.28 tff(14834,plain,
% 15.08/10.28 (((~v1(constB123)) | (~v102(constB123))) | v1(constB123)),
% 15.08/10.28 inference(tautology,[status(thm)],[])).
% 15.08/10.28 tff(14835,plain,
% 15.08/10.28 ((~v1(constB123)) | (~v102(constB123))),
% 15.08/10.28 inference(unit_resolution,[status(thm)],[14834, 14785])).
% 15.08/10.28 tff(14836,plain,
% 15.08/10.28 ((~(v101(constB123) <=> (~((~v1(constB123)) | (~v102(constB123)))))) | (~v101(constB123)) | (~((~v1(constB123)) | (~v102(constB123))))),
% 15.08/10.28 inference(tautology,[status(thm)],[])).
% 15.08/10.28 tff(14837,plain,
% 15.08/10.28 ((~(v101(constB123) <=> (~((~v1(constB123)) | (~v102(constB123)))))) | (~v101(constB123))),
% 15.08/10.28 inference(unit_resolution,[status(thm)],[14836, 14835])).
% 15.08/10.28 tff(14838,plain,
% 15.08/10.28 (~v101(constB123)),
% 15.08/10.28 inference(unit_resolution,[status(thm)],[14837, 14833])).
% 15.08/10.28 tff(14839,plain,
% 15.08/10.28 (((~v101(constB123)) | (~v110(constB123))) | v101(constB123)),
% 15.08/10.28 inference(tautology,[status(thm)],[])).
% 15.08/10.28 tff(14840,plain,
% 15.08/10.28 ((~v101(constB123)) | (~v110(constB123))),
% 15.08/10.28 inference(unit_resolution,[status(thm)],[14839, 14838])).
% 15.08/10.28 tff(14841,plain,
% 15.08/10.28 ((~(v100(constB123) <=> (~((~v101(constB123)) | (~v110(constB123)))))) | (~v100(constB123)) | (~((~v101(constB123)) | (~v110(constB123))))),
% 15.08/10.28 inference(tautology,[status(thm)],[])).
% 15.08/10.28 tff(14842,plain,
% 15.08/10.28 (~v100(constB123)),
% 15.08/10.28 inference(unit_resolution,[status(thm)],[14841, 14840, 14826])).
% 15.08/10.28 tff(14843,plain,
% 15.08/10.28 (((~![VarCurr: $i, VarNext: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v90(VarCurr, B))))) | (v100(constB123) | (~nextState(constB122, constB123)) | ![B: $i] : ((~less_3(B)) | (v90(constB123, B) <=> v90(constB122, B))))) <=> ((~![VarCurr: $i, VarNext: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v90(VarCurr, B))))) | v100(constB123) | (~nextState(constB122, constB123)) | ![B: $i] : ((~less_3(B)) | (v90(constB123, B) <=> v90(constB122, B))))),
% 15.08/10.28 inference(rewrite,[status(thm)],[])).
% 15.08/10.28 tff(14844,plain,
% 15.08/10.28 ((~![VarCurr: $i, VarNext: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v90(VarCurr, B))))) | (v100(constB123) | (~nextState(constB122, constB123)) | ![B: $i] : ((~less_3(B)) | (v90(constB123, B) <=> v90(constB122, B))))),
% 15.08/10.28 inference(quant_inst,[status(thm)],[])).
% 15.08/10.28 tff(14845,plain,
% 15.08/10.28 ((~![VarCurr: $i, VarNext: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v90(VarCurr, B))))) | v100(constB123) | (~nextState(constB122, constB123)) | ![B: $i] : ((~less_3(B)) | (v90(constB123, B) <=> v90(constB122, B)))),
% 15.08/10.28 inference(modus_ponens,[status(thm)],[14844, 14843])).
% 15.08/10.28 tff(14846,plain,
% 15.08/10.28 (v100(constB123) | ![B: $i] : ((~less_3(B)) | (v90(constB123, B) <=> v90(constB122, B)))),
% 15.08/10.28 inference(unit_resolution,[status(thm)],[14845, 14822, 479])).
% 15.08/10.28 tff(14847,plain,
% 15.08/10.28 (![B: $i] : ((~less_3(B)) | (v90(constB123, B) <=> v90(constB122, B)))),
% 15.08/10.28 inference(unit_resolution,[status(thm)],[14846, 14842])).
% 15.08/10.28 tff(14848,plain,
% 15.08/10.28 (((~![B: $i] : ((~less_3(B)) | (v90(constB123, B) <=> v90(constB122, B)))) | ((~less_3(bitIndex2)) | (v90(constB123, bitIndex2) <=> v90(constB122, bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v90(constB123, B) <=> v90(constB122, B)))) | (~less_3(bitIndex2)) | (v90(constB123, bitIndex2) <=> v90(constB122, bitIndex2)))),
% 15.08/10.28 inference(rewrite,[status(thm)],[])).
% 15.08/10.28 tff(14849,plain,
% 15.08/10.28 ((~![B: $i] : ((~less_3(B)) | (v90(constB123, B) <=> v90(constB122, B)))) | ((~less_3(bitIndex2)) | (v90(constB123, bitIndex2) <=> v90(constB122, bitIndex2)))),
% 15.08/10.28 inference(quant_inst,[status(thm)],[])).
% 15.08/10.28 tff(14850,plain,
% 15.08/10.28 ((~![B: $i] : ((~less_3(B)) | (v90(constB123, B) <=> v90(constB122, B)))) | (~less_3(bitIndex2)) | (v90(constB123, bitIndex2) <=> v90(constB122, bitIndex2))),
% 15.08/10.28 inference(modus_ponens,[status(thm)],[14849, 14848])).
% 15.08/10.28 tff(14851,plain,
% 15.08/10.28 (v90(constB123, bitIndex2) <=> v90(constB122, bitIndex2)),
% 15.08/10.28 inference(unit_resolution,[status(thm)],[14850, 413, 14847])).
% 15.08/10.28 tff(14852,plain,
% 15.08/10.28 (nextState(constB121, constB122) <=> nextState(constB121, constB122)),
% 15.08/10.28 inference(rewrite,[status(thm)],[])).
% 15.08/10.28 tff(14853,axiom,(nextState(constB121, constB122)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_121')).
% 15.08/10.28 tff(14854,plain,
% 15.08/10.28 (nextState(constB121, constB122)),
% 15.08/10.28 inference(modus_ponens,[status(thm)],[14853, 14852])).
% 15.08/10.28 tff(14855,plain,
% 15.08/10.28 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB121, constB122)) | (v100(constB122) <=> (~((~v101(constB122)) | (~v110(constB122))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB121, constB122)) | (v100(constB122) <=> (~((~v101(constB122)) | (~v110(constB122))))))),
% 15.08/10.28 inference(rewrite,[status(thm)],[])).
% 15.08/10.28 tff(14856,plain,
% 15.08/10.28 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB121, constB122)) | (v100(constB122) <=> (~((~v101(constB122)) | (~v110(constB122))))))),
% 15.08/10.28 inference(quant_inst,[status(thm)],[])).
% 15.08/10.28 tff(14857,plain,
% 15.08/10.28 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB121, constB122)) | (v100(constB122) <=> (~((~v101(constB122)) | (~v110(constB122)))))),
% 15.08/10.28 inference(modus_ponens,[status(thm)],[14856, 14855])).
% 15.08/10.28 tff(14858,plain,
% 15.08/10.28 (v100(constB122) <=> (~((~v101(constB122)) | (~v110(constB122))))),
% 15.08/10.28 inference(unit_resolution,[status(thm)],[14857, 14854, 430])).
% 15.08/10.28 tff(14859,plain,
% 15.08/10.28 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB121, constB122)) | (v101(constB122) <=> (~((~v1(constB122)) | (~v102(constB122))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB121, constB122)) | (v101(constB122) <=> (~((~v1(constB122)) | (~v102(constB122))))))),
% 15.08/10.28 inference(rewrite,[status(thm)],[])).
% 15.08/10.28 tff(14860,plain,
% 15.08/10.29 (((~nextState(constB121, constB122)) | (v101(constB122) <=> (~((~v102(constB122)) | (~v1(constB122)))))) <=> ((~nextState(constB121, constB122)) | (v101(constB122) <=> (~((~v1(constB122)) | (~v102(constB122))))))),
% 15.08/10.29 inference(rewrite,[status(thm)],[])).
% 15.08/10.29 tff(14861,plain,
% 15.08/10.29 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB121, constB122)) | (v101(constB122) <=> (~((~v102(constB122)) | (~v1(constB122))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB121, constB122)) | (v101(constB122) <=> (~((~v1(constB122)) | (~v102(constB122)))))))),
% 15.08/10.29 inference(monotonicity,[status(thm)],[14860])).
% 15.08/10.29 tff(14862,plain,
% 15.08/10.29 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB121, constB122)) | (v101(constB122) <=> (~((~v102(constB122)) | (~v1(constB122))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB121, constB122)) | (v101(constB122) <=> (~((~v1(constB122)) | (~v102(constB122))))))),
% 15.08/10.29 inference(transitivity,[status(thm)],[14861, 14859])).
% 15.08/10.29 tff(14863,plain,
% 15.08/10.29 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB121, constB122)) | (v101(constB122) <=> (~((~v102(constB122)) | (~v1(constB122))))))),
% 15.08/10.29 inference(quant_inst,[status(thm)],[])).
% 15.08/10.29 tff(14864,plain,
% 15.08/10.29 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB121, constB122)) | (v101(constB122) <=> (~((~v1(constB122)) | (~v102(constB122)))))),
% 15.08/10.29 inference(modus_ponens,[status(thm)],[14863, 14862])).
% 15.08/10.29 tff(14865,plain,
% 15.08/10.29 (v101(constB122) <=> (~((~v1(constB122)) | (~v102(constB122))))),
% 15.08/10.29 inference(unit_resolution,[status(thm)],[14864, 14854, 450])).
% 15.08/10.29 tff(14866,plain,
% 15.08/10.29 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | ((~nextState(constB121, constB122)) | ((~v102(constB122)) <=> v104(constB122)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | (~nextState(constB121, constB122)) | ((~v102(constB122)) <=> v104(constB122)))),
% 15.08/10.29 inference(rewrite,[status(thm)],[])).
% 15.08/10.29 tff(14867,plain,
% 15.08/10.29 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | ((~nextState(constB121, constB122)) | ((~v102(constB122)) <=> v104(constB122)))),
% 15.08/10.29 inference(quant_inst,[status(thm)],[])).
% 15.08/10.29 tff(14868,plain,
% 15.08/10.29 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | (~nextState(constB121, constB122)) | ((~v102(constB122)) <=> v104(constB122))),
% 15.08/10.29 inference(modus_ponens,[status(thm)],[14867, 14866])).
% 15.08/10.29 tff(14869,plain,
% 15.08/10.29 ((~v102(constB122)) <=> v104(constB122)),
% 15.08/10.29 inference(unit_resolution,[status(thm)],[14868, 14854, 512])).
% 15.08/10.29 tff(14870,plain,
% 15.08/10.29 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB121, constB122)) | (v104(constB122) <=> v1(constB121)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | (~nextState(constB121, constB122)) | (v104(constB122) <=> v1(constB121)))),
% 15.08/10.29 inference(rewrite,[status(thm)],[])).
% 15.08/10.29 tff(14871,plain,
% 15.08/10.29 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB121, constB122)) | (v104(constB122) <=> v1(constB121)))),
% 15.08/10.29 inference(quant_inst,[status(thm)],[])).
% 15.08/10.29 tff(14872,plain,
% 15.08/10.29 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | (~nextState(constB121, constB122)) | (v104(constB122) <=> v1(constB121))),
% 15.08/10.29 inference(modus_ponens,[status(thm)],[14871, 14870])).
% 15.08/10.29 tff(14873,plain,
% 15.08/10.29 (v104(constB122) <=> v1(constB121)),
% 15.08/10.29 inference(unit_resolution,[status(thm)],[14872, 14854, 526])).
% 15.08/10.29 tff(14874,plain,
% 15.08/10.29 ((~v1(constB121)) <=> (~v1(constB121))),
% 15.08/10.29 inference(rewrite,[status(thm)],[])).
% 15.08/10.29 tff(14875,axiom,(~v1(constB121)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_121')).
% 15.08/10.29 tff(14876,plain,
% 15.08/10.29 (~v1(constB121)),
% 15.08/10.29 inference(modus_ponens,[status(thm)],[14875, 14874])).
% 15.08/10.29 tff(14877,plain,
% 15.08/10.29 ((~(v104(constB122) <=> v1(constB121))) | (~v104(constB122)) | v1(constB121)),
% 15.08/10.29 inference(tautology,[status(thm)],[])).
% 15.08/10.29 tff(14878,plain,
% 15.08/10.29 ((~(v104(constB122) <=> v1(constB121))) | (~v104(constB122))),
% 15.08/10.29 inference(unit_resolution,[status(thm)],[14877, 14876])).
% 15.08/10.29 tff(14879,plain,
% 15.08/10.29 (~v104(constB122)),
% 15.08/10.29 inference(unit_resolution,[status(thm)],[14878, 14873])).
% 15.08/10.29 tff(14880,plain,
% 15.08/10.29 ((~((~v102(constB122)) <=> v104(constB122))) | v102(constB122) | v104(constB122)),
% 15.08/10.29 inference(tautology,[status(thm)],[])).
% 15.08/10.29 tff(14881,plain,
% 15.08/10.29 (v102(constB122)),
% 15.08/10.29 inference(unit_resolution,[status(thm)],[14880, 14879, 14869])).
% 15.08/10.29 tff(14882,plain,
% 15.08/10.29 (v1(constB122) <=> v1(constB122)),
% 15.08/10.29 inference(rewrite,[status(thm)],[])).
% 15.08/10.29 tff(14883,axiom,(v1(constB122)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_122')).
% 15.08/10.29 tff(14884,plain,
% 15.08/10.29 (v1(constB122)),
% 15.08/10.29 inference(modus_ponens,[status(thm)],[14883, 14882])).
% 15.08/10.29 tff(14885,plain,
% 15.08/10.29 ((~((~v1(constB122)) | (~v102(constB122)))) | (~v1(constB122)) | (~v102(constB122))),
% 15.08/10.29 inference(tautology,[status(thm)],[])).
% 15.08/10.29 tff(14886,plain,
% 15.08/10.29 ((~((~v1(constB122)) | (~v102(constB122)))) | (~v102(constB122))),
% 15.08/10.29 inference(unit_resolution,[status(thm)],[14885, 14884])).
% 15.08/10.29 tff(14887,plain,
% 15.08/10.29 (~((~v1(constB122)) | (~v102(constB122)))),
% 15.08/10.29 inference(unit_resolution,[status(thm)],[14886, 14881])).
% 15.08/10.29 tff(14888,plain,
% 15.08/10.29 ((~(v101(constB122) <=> (~((~v1(constB122)) | (~v102(constB122)))))) | v101(constB122) | ((~v1(constB122)) | (~v102(constB122)))),
% 15.08/10.29 inference(tautology,[status(thm)],[])).
% 15.08/10.29 tff(14889,plain,
% 15.08/10.29 (v101(constB122)),
% 15.08/10.29 inference(unit_resolution,[status(thm)],[14888, 14887, 14865])).
% 15.08/10.29 tff(14890,plain,
% 15.08/10.29 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | ((~nextState(constB121, constB122)) | (v110(constB122) <=> v108(constB121)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | (~nextState(constB121, constB122)) | (v110(constB122) <=> v108(constB121)))),
% 15.08/10.29 inference(rewrite,[status(thm)],[])).
% 15.08/10.29 tff(14891,plain,
% 15.08/10.29 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | ((~nextState(constB121, constB122)) | (v110(constB122) <=> v108(constB121)))),
% 15.08/10.29 inference(quant_inst,[status(thm)],[])).
% 15.08/10.29 tff(14892,plain,
% 15.08/10.29 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | (~nextState(constB121, constB122)) | (v110(constB122) <=> v108(constB121))),
% 15.08/10.29 inference(modus_ponens,[status(thm)],[14891, 14890])).
% 15.08/10.29 tff(14893,plain,
% 15.08/10.29 (v110(constB122) <=> v108(constB121)),
% 15.08/10.29 inference(unit_resolution,[status(thm)],[14892, 14854, 556])).
% 15.08/10.29 tff(14894,plain,
% 15.08/10.29 ((~![VarCurr: $i] : (v108(VarCurr) <=> (v111(VarCurr) | v112(VarCurr)))) | (v108(constB121) <=> (v111(constB121) | v112(constB121)))),
% 15.08/10.29 inference(quant_inst,[status(thm)],[])).
% 15.08/10.29 tff(14895,plain,
% 15.08/10.29 (v108(constB121) <=> (v111(constB121) | v112(constB121))),
% 15.08/10.29 inference(unit_resolution,[status(thm)],[14894, 567])).
% 15.08/10.29 tff(14896,plain,
% 15.08/10.29 ((~![VarCurr: $i] : (v112(VarCurr) <=> (~((~v113(VarCurr)) | (~v126(VarCurr)))))) | (v112(constB121) <=> (~((~v113(constB121)) | (~v126(constB121)))))),
% 15.08/10.29 inference(quant_inst,[status(thm)],[])).
% 15.08/10.29 tff(14897,plain,
% 15.08/10.29 (v112(constB121) <=> (~((~v113(constB121)) | (~v126(constB121))))),
% 15.08/10.29 inference(unit_resolution,[status(thm)],[14896, 579])).
% 15.08/10.29 tff(14898,plain,
% 15.08/10.29 ((~![VarCurr: $i] : (v113(VarCurr) <=> (v114(VarCurr) | v125(VarCurr)))) | (v113(constB121) <=> (v114(constB121) | v125(constB121)))),
% 15.08/10.29 inference(quant_inst,[status(thm)],[])).
% 15.08/10.29 tff(14899,plain,
% 15.08/10.29 (v113(constB121) <=> (v114(constB121) | v125(constB121))),
% 15.08/10.29 inference(unit_resolution,[status(thm)],[14898, 588])).
% 15.08/10.29 tff(14900,plain,
% 15.08/10.29 ((~![VarCurr: $i] : (v114(VarCurr) <=> (v115(VarCurr) | v124(VarCurr)))) | (v114(constB121) <=> (v115(constB121) | v124(constB121)))),
% 15.08/10.29 inference(quant_inst,[status(thm)],[])).
% 15.08/10.29 tff(14901,plain,
% 15.08/10.29 (v114(constB121) <=> (v115(constB121) | v124(constB121))),
% 15.08/10.29 inference(unit_resolution,[status(thm)],[14900, 597])).
% 15.08/10.29 tff(14902,plain,
% 15.08/10.29 ((~![VarCurr: $i] : (v115(VarCurr) <=> (v116(VarCurr) | v123(VarCurr)))) | (v115(constB121) <=> (v116(constB121) | v123(constB121)))),
% 15.08/10.29 inference(quant_inst,[status(thm)],[])).
% 15.08/10.29 tff(14903,plain,
% 15.08/10.29 (v115(constB121) <=> (v116(constB121) | v123(constB121))),
% 15.08/10.29 inference(unit_resolution,[status(thm)],[14902, 606])).
% 15.08/10.29 tff(14904,plain,
% 15.08/10.29 ((~![VarCurr: $i] : (v116(VarCurr) <=> (v117(VarCurr) | v122(VarCurr)))) | (v116(constB121) <=> (v117(constB121) | v122(constB121)))),
% 15.08/10.29 inference(quant_inst,[status(thm)],[])).
% 15.08/10.29 tff(14905,plain,
% 15.08/10.29 (v116(constB121) <=> (v117(constB121) | v122(constB121))),
% 15.08/10.29 inference(unit_resolution,[status(thm)],[14904, 719])).
% 15.08/10.29 tff(14906,plain,
% 15.08/10.29 (((~![VarCurr: $i] : (v122(VarCurr) <=> (~(v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)))))) | (v122(constB121) <=> (~(v90(constB121, bitIndex2) | (~v90(constB121, bitIndex1)) | (~v90(constB121, bitIndex0)))))) <=> ((~![VarCurr: $i] : (v122(VarCurr) <=> (~(v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)))))) | (v122(constB121) <=> (~(v90(constB121, bitIndex2) | (~v90(constB121, bitIndex1)) | (~v90(constB121, bitIndex0))))))),
% 15.08/10.29 inference(rewrite,[status(thm)],[])).
% 15.08/10.29 tff(14907,plain,
% 15.08/10.29 ((v122(constB121) <=> (~(v90(constB121, bitIndex2) | (~v90(constB121, bitIndex0)) | (~v90(constB121, bitIndex1))))) <=> (v122(constB121) <=> (~(v90(constB121, bitIndex2) | (~v90(constB121, bitIndex1)) | (~v90(constB121, bitIndex0)))))),
% 15.08/10.29 inference(rewrite,[status(thm)],[])).
% 15.08/10.29 tff(14908,plain,
% 15.08/10.29 (((~![VarCurr: $i] : (v122(VarCurr) <=> (~(v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)))))) | (v122(constB121) <=> (~(v90(constB121, bitIndex2) | (~v90(constB121, bitIndex0)) | (~v90(constB121, bitIndex1)))))) <=> ((~![VarCurr: $i] : (v122(VarCurr) <=> (~(v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)))))) | (v122(constB121) <=> (~(v90(constB121, bitIndex2) | (~v90(constB121, bitIndex1)) | (~v90(constB121, bitIndex0))))))),
% 15.08/10.29 inference(monotonicity,[status(thm)],[14907])).
% 15.08/10.29 tff(14909,plain,
% 15.08/10.29 (((~![VarCurr: $i] : (v122(VarCurr) <=> (~(v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)))))) | (v122(constB121) <=> (~(v90(constB121, bitIndex2) | (~v90(constB121, bitIndex0)) | (~v90(constB121, bitIndex1)))))) <=> ((~![VarCurr: $i] : (v122(VarCurr) <=> (~(v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)))))) | (v122(constB121) <=> (~(v90(constB121, bitIndex2) | (~v90(constB121, bitIndex1)) | (~v90(constB121, bitIndex0))))))),
% 15.08/10.29 inference(transitivity,[status(thm)],[14908, 14906])).
% 15.08/10.29 tff(14910,plain,
% 15.08/10.29 ((~![VarCurr: $i] : (v122(VarCurr) <=> (~(v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)))))) | (v122(constB121) <=> (~(v90(constB121, bitIndex2) | (~v90(constB121, bitIndex0)) | (~v90(constB121, bitIndex1)))))),
% 15.08/10.29 inference(quant_inst,[status(thm)],[])).
% 15.08/10.29 tff(14911,plain,
% 15.08/10.29 ((~![VarCurr: $i] : (v122(VarCurr) <=> (~(v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)))))) | (v122(constB121) <=> (~(v90(constB121, bitIndex2) | (~v90(constB121, bitIndex1)) | (~v90(constB121, bitIndex0)))))),
% 15.08/10.29 inference(modus_ponens,[status(thm)],[14910, 14909])).
% 15.08/10.29 tff(14912,plain,
% 15.08/10.29 (v122(constB121) <=> (~(v90(constB121, bitIndex2) | (~v90(constB121, bitIndex1)) | (~v90(constB121, bitIndex0))))),
% 15.08/10.29 inference(unit_resolution,[status(thm)],[14911, 734])).
% 15.08/10.29 tff(14913,plain,
% 15.08/10.29 (nextState(constB120, constB121) <=> nextState(constB120, constB121)),
% 15.08/10.29 inference(rewrite,[status(thm)],[])).
% 15.08/10.29 tff(14914,axiom,(nextState(constB120, constB121)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_120')).
% 15.08/10.29 tff(14915,plain,
% 15.08/10.29 (nextState(constB120, constB121)),
% 15.08/10.29 inference(modus_ponens,[status(thm)],[14914, 14913])).
% 15.08/10.29 tff(14916,plain,
% 15.08/10.29 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB120, constB121)) | (v100(constB121) <=> (~((~v101(constB121)) | (~v110(constB121))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB120, constB121)) | (v100(constB121) <=> (~((~v101(constB121)) | (~v110(constB121))))))),
% 15.08/10.29 inference(rewrite,[status(thm)],[])).
% 15.08/10.29 tff(14917,plain,
% 15.08/10.29 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB120, constB121)) | (v100(constB121) <=> (~((~v101(constB121)) | (~v110(constB121))))))),
% 15.08/10.29 inference(quant_inst,[status(thm)],[])).
% 15.08/10.29 tff(14918,plain,
% 15.08/10.29 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB120, constB121)) | (v100(constB121) <=> (~((~v101(constB121)) | (~v110(constB121)))))),
% 15.08/10.29 inference(modus_ponens,[status(thm)],[14917, 14916])).
% 15.08/10.29 tff(14919,plain,
% 15.08/10.29 (v100(constB121) <=> (~((~v101(constB121)) | (~v110(constB121))))),
% 15.08/10.29 inference(unit_resolution,[status(thm)],[14918, 14915, 430])).
% 15.08/10.29 tff(14920,plain,
% 15.08/10.29 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB120, constB121)) | (v101(constB121) <=> (~((~v1(constB121)) | (~v102(constB121))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB120, constB121)) | (v101(constB121) <=> (~((~v1(constB121)) | (~v102(constB121))))))),
% 15.08/10.29 inference(rewrite,[status(thm)],[])).
% 15.08/10.29 tff(14921,plain,
% 15.08/10.29 (((~nextState(constB120, constB121)) | (v101(constB121) <=> (~((~v102(constB121)) | (~v1(constB121)))))) <=> ((~nextState(constB120, constB121)) | (v101(constB121) <=> (~((~v1(constB121)) | (~v102(constB121))))))),
% 15.08/10.29 inference(rewrite,[status(thm)],[])).
% 15.08/10.29 tff(14922,plain,
% 15.08/10.29 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB120, constB121)) | (v101(constB121) <=> (~((~v102(constB121)) | (~v1(constB121))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB120, constB121)) | (v101(constB121) <=> (~((~v1(constB121)) | (~v102(constB121)))))))),
% 15.08/10.29 inference(monotonicity,[status(thm)],[14921])).
% 15.08/10.29 tff(14923,plain,
% 15.08/10.29 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB120, constB121)) | (v101(constB121) <=> (~((~v102(constB121)) | (~v1(constB121))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB120, constB121)) | (v101(constB121) <=> (~((~v1(constB121)) | (~v102(constB121))))))),
% 15.08/10.29 inference(transitivity,[status(thm)],[14922, 14920])).
% 15.08/10.29 tff(14924,plain,
% 15.08/10.29 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB120, constB121)) | (v101(constB121) <=> (~((~v102(constB121)) | (~v1(constB121))))))),
% 15.08/10.29 inference(quant_inst,[status(thm)],[])).
% 15.08/10.29 tff(14925,plain,
% 15.08/10.29 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB120, constB121)) | (v101(constB121) <=> (~((~v1(constB121)) | (~v102(constB121)))))),
% 15.08/10.29 inference(modus_ponens,[status(thm)],[14924, 14923])).
% 15.08/10.29 tff(14926,plain,
% 15.08/10.29 (v101(constB121) <=> (~((~v1(constB121)) | (~v102(constB121))))),
% 15.08/10.29 inference(unit_resolution,[status(thm)],[14925, 14915, 450])).
% 15.08/10.29 tff(14927,plain,
% 15.08/10.29 (((~v1(constB121)) | (~v102(constB121))) | v1(constB121)),
% 15.08/10.29 inference(tautology,[status(thm)],[])).
% 15.08/10.29 tff(14928,plain,
% 15.08/10.29 ((~v1(constB121)) | (~v102(constB121))),
% 15.08/10.29 inference(unit_resolution,[status(thm)],[14927, 14876])).
% 15.08/10.29 tff(14929,plain,
% 15.08/10.29 ((~(v101(constB121) <=> (~((~v1(constB121)) | (~v102(constB121)))))) | (~v101(constB121)) | (~((~v1(constB121)) | (~v102(constB121))))),
% 15.08/10.29 inference(tautology,[status(thm)],[])).
% 15.08/10.29 tff(14930,plain,
% 15.08/10.29 ((~(v101(constB121) <=> (~((~v1(constB121)) | (~v102(constB121)))))) | (~v101(constB121))),
% 15.08/10.29 inference(unit_resolution,[status(thm)],[14929, 14928])).
% 15.08/10.29 tff(14931,plain,
% 15.08/10.29 (~v101(constB121)),
% 15.08/10.29 inference(unit_resolution,[status(thm)],[14930, 14926])).
% 15.08/10.29 tff(14932,plain,
% 15.08/10.29 (((~v101(constB121)) | (~v110(constB121))) | v101(constB121)),
% 15.08/10.29 inference(tautology,[status(thm)],[])).
% 15.08/10.29 tff(14933,plain,
% 15.08/10.29 ((~v101(constB121)) | (~v110(constB121))),
% 15.08/10.29 inference(unit_resolution,[status(thm)],[14932, 14931])).
% 15.08/10.29 tff(14934,plain,
% 15.08/10.29 ((~(v100(constB121) <=> (~((~v101(constB121)) | (~v110(constB121)))))) | (~v100(constB121)) | (~((~v101(constB121)) | (~v110(constB121))))),
% 15.08/10.29 inference(tautology,[status(thm)],[])).
% 15.08/10.29 tff(14935,plain,
% 15.08/10.29 (~v100(constB121)),
% 15.08/10.29 inference(unit_resolution,[status(thm)],[14934, 14933, 14919])).
% 15.08/10.29 tff(14936,plain,
% 15.08/10.29 (((~![VarCurr: $i, VarNext: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v90(VarCurr, B))))) | (v100(constB121) | (~nextState(constB120, constB121)) | ![B: $i] : ((~less_3(B)) | (v90(constB121, B) <=> v90(constB120, B))))) <=> ((~![VarCurr: $i, VarNext: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v90(VarCurr, B))))) | v100(constB121) | (~nextState(constB120, constB121)) | ![B: $i] : ((~less_3(B)) | (v90(constB121, B) <=> v90(constB120, B))))),
% 15.08/10.29 inference(rewrite,[status(thm)],[])).
% 15.08/10.29 tff(14937,plain,
% 15.08/10.29 ((~![VarCurr: $i, VarNext: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v90(VarCurr, B))))) | (v100(constB121) | (~nextState(constB120, constB121)) | ![B: $i] : ((~less_3(B)) | (v90(constB121, B) <=> v90(constB120, B))))),
% 15.08/10.29 inference(quant_inst,[status(thm)],[])).
% 15.08/10.29 tff(14938,plain,
% 15.08/10.29 ((~![VarCurr: $i, VarNext: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v90(VarCurr, B))))) | v100(constB121) | (~nextState(constB120, constB121)) | ![B: $i] : ((~less_3(B)) | (v90(constB121, B) <=> v90(constB120, B)))),
% 15.08/10.29 inference(modus_ponens,[status(thm)],[14937, 14936])).
% 15.08/10.29 tff(14939,plain,
% 15.08/10.29 (v100(constB121) | ![B: $i] : ((~less_3(B)) | (v90(constB121, B) <=> v90(constB120, B)))),
% 15.08/10.29 inference(unit_resolution,[status(thm)],[14938, 14915, 479])).
% 15.08/10.29 tff(14940,plain,
% 15.08/10.29 (![B: $i] : ((~less_3(B)) | (v90(constB121, B) <=> v90(constB120, B)))),
% 15.08/10.29 inference(unit_resolution,[status(thm)],[14939, 14935])).
% 15.08/10.29 tff(14941,plain,
% 15.08/10.29 (((~![B: $i] : ((~less_3(B)) | (v90(constB121, B) <=> v90(constB120, B)))) | ((~less_3(bitIndex2)) | (v90(constB121, bitIndex2) <=> v90(constB120, bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v90(constB121, B) <=> v90(constB120, B)))) | (~less_3(bitIndex2)) | (v90(constB121, bitIndex2) <=> v90(constB120, bitIndex2)))),
% 15.08/10.29 inference(rewrite,[status(thm)],[])).
% 15.08/10.29 tff(14942,plain,
% 15.08/10.29 ((~![B: $i] : ((~less_3(B)) | (v90(constB121, B) <=> v90(constB120, B)))) | ((~less_3(bitIndex2)) | (v90(constB121, bitIndex2) <=> v90(constB120, bitIndex2)))),
% 15.08/10.29 inference(quant_inst,[status(thm)],[])).
% 15.08/10.29 tff(14943,plain,
% 15.08/10.29 ((~![B: $i] : ((~less_3(B)) | (v90(constB121, B) <=> v90(constB120, B)))) | (~less_3(bitIndex2)) | (v90(constB121, bitIndex2) <=> v90(constB120, bitIndex2))),
% 15.08/10.29 inference(modus_ponens,[status(thm)],[14942, 14941])).
% 15.08/10.29 tff(14944,plain,
% 15.08/10.29 (v90(constB121, bitIndex2) <=> v90(constB120, bitIndex2)),
% 15.08/10.29 inference(unit_resolution,[status(thm)],[14943, 413, 14940])).
% 15.08/10.29 tff(14945,plain,
% 15.08/10.29 (nextState(constB119, constB120) <=> nextState(constB119, constB120)),
% 15.08/10.29 inference(rewrite,[status(thm)],[])).
% 15.08/10.29 tff(14946,axiom,(nextState(constB119, constB120)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_119')).
% 15.08/10.29 tff(14947,plain,
% 15.08/10.29 (nextState(constB119, constB120)),
% 15.08/10.29 inference(modus_ponens,[status(thm)],[14946, 14945])).
% 15.08/10.29 tff(14948,plain,
% 15.08/10.29 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB119, constB120)) | (v100(constB120) <=> (~((~v101(constB120)) | (~v110(constB120))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB119, constB120)) | (v100(constB120) <=> (~((~v101(constB120)) | (~v110(constB120))))))),
% 15.08/10.29 inference(rewrite,[status(thm)],[])).
% 15.08/10.29 tff(14949,plain,
% 15.08/10.29 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB119, constB120)) | (v100(constB120) <=> (~((~v101(constB120)) | (~v110(constB120))))))),
% 15.08/10.29 inference(quant_inst,[status(thm)],[])).
% 15.08/10.29 tff(14950,plain,
% 15.08/10.29 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB119, constB120)) | (v100(constB120) <=> (~((~v101(constB120)) | (~v110(constB120)))))),
% 15.08/10.29 inference(modus_ponens,[status(thm)],[14949, 14948])).
% 15.08/10.29 tff(14951,plain,
% 15.08/10.29 (v100(constB120) <=> (~((~v101(constB120)) | (~v110(constB120))))),
% 15.08/10.29 inference(unit_resolution,[status(thm)],[14950, 14947, 430])).
% 15.08/10.29 tff(14952,plain,
% 15.08/10.29 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB119, constB120)) | (v101(constB120) <=> (~((~v1(constB120)) | (~v102(constB120))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB119, constB120)) | (v101(constB120) <=> (~((~v1(constB120)) | (~v102(constB120))))))),
% 15.08/10.29 inference(rewrite,[status(thm)],[])).
% 15.08/10.29 tff(14953,plain,
% 15.08/10.29 (((~nextState(constB119, constB120)) | (v101(constB120) <=> (~((~v102(constB120)) | (~v1(constB120)))))) <=> ((~nextState(constB119, constB120)) | (v101(constB120) <=> (~((~v1(constB120)) | (~v102(constB120))))))),
% 15.08/10.29 inference(rewrite,[status(thm)],[])).
% 15.08/10.29 tff(14954,plain,
% 15.08/10.29 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB119, constB120)) | (v101(constB120) <=> (~((~v102(constB120)) | (~v1(constB120))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB119, constB120)) | (v101(constB120) <=> (~((~v1(constB120)) | (~v102(constB120)))))))),
% 15.08/10.29 inference(monotonicity,[status(thm)],[14953])).
% 15.08/10.29 tff(14955,plain,
% 15.08/10.29 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB119, constB120)) | (v101(constB120) <=> (~((~v102(constB120)) | (~v1(constB120))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB119, constB120)) | (v101(constB120) <=> (~((~v1(constB120)) | (~v102(constB120))))))),
% 15.08/10.29 inference(transitivity,[status(thm)],[14954, 14952])).
% 15.08/10.29 tff(14956,plain,
% 15.08/10.29 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB119, constB120)) | (v101(constB120) <=> (~((~v102(constB120)) | (~v1(constB120))))))),
% 15.08/10.29 inference(quant_inst,[status(thm)],[])).
% 15.08/10.29 tff(14957,plain,
% 15.08/10.29 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB119, constB120)) | (v101(constB120) <=> (~((~v1(constB120)) | (~v102(constB120)))))),
% 15.08/10.29 inference(modus_ponens,[status(thm)],[14956, 14955])).
% 15.08/10.29 tff(14958,plain,
% 15.08/10.29 (v101(constB120) <=> (~((~v1(constB120)) | (~v102(constB120))))),
% 15.08/10.29 inference(unit_resolution,[status(thm)],[14957, 14947, 450])).
% 15.08/10.29 tff(14959,plain,
% 15.08/10.29 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | ((~nextState(constB119, constB120)) | ((~v102(constB120)) <=> v104(constB120)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | (~nextState(constB119, constB120)) | ((~v102(constB120)) <=> v104(constB120)))),
% 15.08/10.29 inference(rewrite,[status(thm)],[])).
% 15.08/10.29 tff(14960,plain,
% 15.08/10.29 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | ((~nextState(constB119, constB120)) | ((~v102(constB120)) <=> v104(constB120)))),
% 15.09/10.29 inference(quant_inst,[status(thm)],[])).
% 15.09/10.29 tff(14961,plain,
% 15.09/10.29 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | (~nextState(constB119, constB120)) | ((~v102(constB120)) <=> v104(constB120))),
% 15.09/10.29 inference(modus_ponens,[status(thm)],[14960, 14959])).
% 15.09/10.29 tff(14962,plain,
% 15.09/10.29 ((~v102(constB120)) <=> v104(constB120)),
% 15.09/10.29 inference(unit_resolution,[status(thm)],[14961, 14947, 512])).
% 15.09/10.29 tff(14963,plain,
% 15.09/10.29 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB119, constB120)) | (v104(constB120) <=> v1(constB119)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | (~nextState(constB119, constB120)) | (v104(constB120) <=> v1(constB119)))),
% 15.09/10.29 inference(rewrite,[status(thm)],[])).
% 15.09/10.29 tff(14964,plain,
% 15.09/10.29 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB119, constB120)) | (v104(constB120) <=> v1(constB119)))),
% 15.09/10.29 inference(quant_inst,[status(thm)],[])).
% 15.09/10.29 tff(14965,plain,
% 15.09/10.29 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | (~nextState(constB119, constB120)) | (v104(constB120) <=> v1(constB119))),
% 15.09/10.29 inference(modus_ponens,[status(thm)],[14964, 14963])).
% 15.09/10.29 tff(14966,plain,
% 15.09/10.29 (v104(constB120) <=> v1(constB119)),
% 15.09/10.29 inference(unit_resolution,[status(thm)],[14965, 14947, 526])).
% 15.09/10.29 tff(14967,plain,
% 15.09/10.29 ((~v1(constB119)) <=> (~v1(constB119))),
% 15.09/10.29 inference(rewrite,[status(thm)],[])).
% 15.09/10.29 tff(14968,axiom,(~v1(constB119)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_119')).
% 15.09/10.29 tff(14969,plain,
% 15.09/10.29 (~v1(constB119)),
% 15.09/10.29 inference(modus_ponens,[status(thm)],[14968, 14967])).
% 15.09/10.29 tff(14970,plain,
% 15.09/10.29 ((~(v104(constB120) <=> v1(constB119))) | (~v104(constB120)) | v1(constB119)),
% 15.09/10.29 inference(tautology,[status(thm)],[])).
% 15.09/10.29 tff(14971,plain,
% 15.09/10.29 ((~(v104(constB120) <=> v1(constB119))) | (~v104(constB120))),
% 15.09/10.29 inference(unit_resolution,[status(thm)],[14970, 14969])).
% 15.09/10.29 tff(14972,plain,
% 15.09/10.29 (~v104(constB120)),
% 15.09/10.29 inference(unit_resolution,[status(thm)],[14971, 14966])).
% 15.09/10.29 tff(14973,plain,
% 15.09/10.29 ((~((~v102(constB120)) <=> v104(constB120))) | v102(constB120) | v104(constB120)),
% 15.09/10.29 inference(tautology,[status(thm)],[])).
% 15.09/10.29 tff(14974,plain,
% 15.09/10.29 (v102(constB120)),
% 15.09/10.29 inference(unit_resolution,[status(thm)],[14973, 14972, 14962])).
% 15.09/10.29 tff(14975,plain,
% 15.09/10.29 (v1(constB120) <=> v1(constB120)),
% 15.09/10.29 inference(rewrite,[status(thm)],[])).
% 15.09/10.29 tff(14976,axiom,(v1(constB120)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_120')).
% 15.09/10.29 tff(14977,plain,
% 15.09/10.29 (v1(constB120)),
% 15.09/10.29 inference(modus_ponens,[status(thm)],[14976, 14975])).
% 15.09/10.29 tff(14978,plain,
% 15.09/10.29 ((~((~v1(constB120)) | (~v102(constB120)))) | (~v1(constB120)) | (~v102(constB120))),
% 15.09/10.29 inference(tautology,[status(thm)],[])).
% 15.09/10.29 tff(14979,plain,
% 15.09/10.29 ((~((~v1(constB120)) | (~v102(constB120)))) | (~v102(constB120))),
% 15.09/10.29 inference(unit_resolution,[status(thm)],[14978, 14977])).
% 15.09/10.29 tff(14980,plain,
% 15.09/10.29 (~((~v1(constB120)) | (~v102(constB120)))),
% 15.09/10.29 inference(unit_resolution,[status(thm)],[14979, 14974])).
% 15.09/10.29 tff(14981,plain,
% 15.09/10.29 ((~(v101(constB120) <=> (~((~v1(constB120)) | (~v102(constB120)))))) | v101(constB120) | ((~v1(constB120)) | (~v102(constB120)))),
% 15.09/10.29 inference(tautology,[status(thm)],[])).
% 15.09/10.29 tff(14982,plain,
% 15.09/10.29 (v101(constB120)),
% 15.09/10.29 inference(unit_resolution,[status(thm)],[14981, 14980, 14958])).
% 15.09/10.29 tff(14983,plain,
% 15.09/10.29 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | ((~nextState(constB119, constB120)) | (v110(constB120) <=> v108(constB119)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | (~nextState(constB119, constB120)) | (v110(constB120) <=> v108(constB119)))),
% 15.09/10.29 inference(rewrite,[status(thm)],[])).
% 15.09/10.29 tff(14984,plain,
% 15.09/10.29 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | ((~nextState(constB119, constB120)) | (v110(constB120) <=> v108(constB119)))),
% 15.09/10.30 inference(quant_inst,[status(thm)],[])).
% 15.09/10.30 tff(14985,plain,
% 15.09/10.30 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | (~nextState(constB119, constB120)) | (v110(constB120) <=> v108(constB119))),
% 15.09/10.30 inference(modus_ponens,[status(thm)],[14984, 14983])).
% 15.09/10.30 tff(14986,plain,
% 15.09/10.30 (v110(constB120) <=> v108(constB119)),
% 15.09/10.30 inference(unit_resolution,[status(thm)],[14985, 14947, 556])).
% 15.09/10.30 tff(14987,plain,
% 15.09/10.30 ((~![VarCurr: $i] : (v108(VarCurr) <=> (v111(VarCurr) | v112(VarCurr)))) | (v108(constB119) <=> (v111(constB119) | v112(constB119)))),
% 15.09/10.30 inference(quant_inst,[status(thm)],[])).
% 15.09/10.30 tff(14988,plain,
% 15.09/10.30 (v108(constB119) <=> (v111(constB119) | v112(constB119))),
% 15.09/10.30 inference(unit_resolution,[status(thm)],[14987, 567])).
% 15.09/10.30 tff(14989,plain,
% 15.09/10.30 ((~![VarCurr: $i] : (v112(VarCurr) <=> (~((~v113(VarCurr)) | (~v126(VarCurr)))))) | (v112(constB119) <=> (~((~v113(constB119)) | (~v126(constB119)))))),
% 15.09/10.30 inference(quant_inst,[status(thm)],[])).
% 15.09/10.30 tff(14990,plain,
% 15.09/10.30 (v112(constB119) <=> (~((~v113(constB119)) | (~v126(constB119))))),
% 15.09/10.30 inference(unit_resolution,[status(thm)],[14989, 579])).
% 15.09/10.30 tff(14991,plain,
% 15.09/10.30 ((~![VarCurr: $i] : (v113(VarCurr) <=> (v114(VarCurr) | v125(VarCurr)))) | (v113(constB119) <=> (v114(constB119) | v125(constB119)))),
% 15.09/10.30 inference(quant_inst,[status(thm)],[])).
% 15.09/10.30 tff(14992,plain,
% 15.09/10.30 (v113(constB119) <=> (v114(constB119) | v125(constB119))),
% 15.09/10.30 inference(unit_resolution,[status(thm)],[14991, 588])).
% 15.09/10.30 tff(14993,plain,
% 15.09/10.30 ((~![VarCurr: $i] : (v114(VarCurr) <=> (v115(VarCurr) | v124(VarCurr)))) | (v114(constB119) <=> (v115(constB119) | v124(constB119)))),
% 15.09/10.30 inference(quant_inst,[status(thm)],[])).
% 15.09/10.30 tff(14994,plain,
% 15.09/10.30 (v114(constB119) <=> (v115(constB119) | v124(constB119))),
% 15.09/10.30 inference(unit_resolution,[status(thm)],[14993, 597])).
% 15.09/10.30 tff(14995,plain,
% 15.09/10.30 ((~![VarCurr: $i] : (v115(VarCurr) <=> (v116(VarCurr) | v123(VarCurr)))) | (v115(constB119) <=> (v116(constB119) | v123(constB119)))),
% 15.09/10.30 inference(quant_inst,[status(thm)],[])).
% 15.09/10.30 tff(14996,plain,
% 15.09/10.30 (v115(constB119) <=> (v116(constB119) | v123(constB119))),
% 15.09/10.30 inference(unit_resolution,[status(thm)],[14995, 606])).
% 15.09/10.30 tff(14997,plain,
% 15.09/10.30 ((~![VarCurr: $i] : (v116(VarCurr) <=> (v117(VarCurr) | v122(VarCurr)))) | (v116(constB119) <=> (v117(constB119) | v122(constB119)))),
% 15.09/10.30 inference(quant_inst,[status(thm)],[])).
% 15.09/10.30 tff(14998,plain,
% 15.09/10.30 (v116(constB119) <=> (v117(constB119) | v122(constB119))),
% 15.09/10.30 inference(unit_resolution,[status(thm)],[14997, 719])).
% 15.09/10.30 tff(14999,plain,
% 15.09/10.30 ((~![VarCurr: $i] : (v117(VarCurr) <=> (v118(VarCurr) | v121(VarCurr)))) | (v117(constB119) <=> (v118(constB119) | v121(constB119)))),
% 15.09/10.30 inference(quant_inst,[status(thm)],[])).
% 15.09/10.30 tff(15000,plain,
% 15.09/10.30 (v117(constB119) <=> (v118(constB119) | v121(constB119))),
% 15.09/10.30 inference(unit_resolution,[status(thm)],[14999, 834])).
% 15.09/10.30 tff(15001,plain,
% 15.09/10.30 (((~![VarCurr: $i] : (v121(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex1)))))) | (v121(constB119) <=> (~(v90(constB119, bitIndex2) | (~v90(constB119, bitIndex1)) | v90(constB119, bitIndex0))))) <=> ((~![VarCurr: $i] : (v121(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex1)))))) | (v121(constB119) <=> (~(v90(constB119, bitIndex2) | (~v90(constB119, bitIndex1)) | v90(constB119, bitIndex0)))))),
% 15.09/10.30 inference(rewrite,[status(thm)],[])).
% 15.09/10.30 tff(15002,plain,
% 15.09/10.30 ((v121(constB119) <=> (~(v90(constB119, bitIndex0) | v90(constB119, bitIndex2) | (~v90(constB119, bitIndex1))))) <=> (v121(constB119) <=> (~(v90(constB119, bitIndex2) | (~v90(constB119, bitIndex1)) | v90(constB119, bitIndex0))))),
% 15.09/10.30 inference(rewrite,[status(thm)],[])).
% 15.09/10.30 tff(15003,plain,
% 15.09/10.30 (((~![VarCurr: $i] : (v121(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex1)))))) | (v121(constB119) <=> (~(v90(constB119, bitIndex0) | v90(constB119, bitIndex2) | (~v90(constB119, bitIndex1)))))) <=> ((~![VarCurr: $i] : (v121(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex1)))))) | (v121(constB119) <=> (~(v90(constB119, bitIndex2) | (~v90(constB119, bitIndex1)) | v90(constB119, bitIndex0)))))),
% 15.09/10.30 inference(monotonicity,[status(thm)],[15002])).
% 15.09/10.30 tff(15004,plain,
% 15.09/10.30 (((~![VarCurr: $i] : (v121(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex1)))))) | (v121(constB119) <=> (~(v90(constB119, bitIndex0) | v90(constB119, bitIndex2) | (~v90(constB119, bitIndex1)))))) <=> ((~![VarCurr: $i] : (v121(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex1)))))) | (v121(constB119) <=> (~(v90(constB119, bitIndex2) | (~v90(constB119, bitIndex1)) | v90(constB119, bitIndex0)))))),
% 15.09/10.30 inference(transitivity,[status(thm)],[15003, 15001])).
% 15.09/10.30 tff(15005,plain,
% 15.09/10.30 ((~![VarCurr: $i] : (v121(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex1)))))) | (v121(constB119) <=> (~(v90(constB119, bitIndex0) | v90(constB119, bitIndex2) | (~v90(constB119, bitIndex1)))))),
% 15.09/10.30 inference(quant_inst,[status(thm)],[])).
% 15.09/10.30 tff(15006,plain,
% 15.09/10.30 ((~![VarCurr: $i] : (v121(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex1)))))) | (v121(constB119) <=> (~(v90(constB119, bitIndex2) | (~v90(constB119, bitIndex1)) | v90(constB119, bitIndex0))))),
% 15.09/10.30 inference(modus_ponens,[status(thm)],[15005, 15004])).
% 15.09/10.30 tff(15007,plain,
% 15.09/10.30 (v121(constB119) <=> (~(v90(constB119, bitIndex2) | (~v90(constB119, bitIndex1)) | v90(constB119, bitIndex0)))),
% 15.09/10.30 inference(unit_resolution,[status(thm)],[15006, 849])).
% 15.09/10.30 tff(15008,plain,
% 15.09/10.30 (nextState(constB118, constB119) <=> nextState(constB118, constB119)),
% 15.09/10.30 inference(rewrite,[status(thm)],[])).
% 15.09/10.30 tff(15009,axiom,(nextState(constB118, constB119)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_118')).
% 15.09/10.30 tff(15010,plain,
% 15.09/10.30 (nextState(constB118, constB119)),
% 15.09/10.30 inference(modus_ponens,[status(thm)],[15009, 15008])).
% 15.09/10.30 tff(15011,plain,
% 15.09/10.30 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB118, constB119)) | (v100(constB119) <=> (~((~v101(constB119)) | (~v110(constB119))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB118, constB119)) | (v100(constB119) <=> (~((~v101(constB119)) | (~v110(constB119))))))),
% 15.09/10.30 inference(rewrite,[status(thm)],[])).
% 15.09/10.30 tff(15012,plain,
% 15.09/10.30 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB118, constB119)) | (v100(constB119) <=> (~((~v101(constB119)) | (~v110(constB119))))))),
% 15.09/10.30 inference(quant_inst,[status(thm)],[])).
% 15.09/10.30 tff(15013,plain,
% 15.09/10.30 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB118, constB119)) | (v100(constB119) <=> (~((~v101(constB119)) | (~v110(constB119)))))),
% 15.09/10.30 inference(modus_ponens,[status(thm)],[15012, 15011])).
% 15.09/10.30 tff(15014,plain,
% 15.09/10.30 (v100(constB119) <=> (~((~v101(constB119)) | (~v110(constB119))))),
% 15.09/10.30 inference(unit_resolution,[status(thm)],[15013, 15010, 430])).
% 15.09/10.30 tff(15015,plain,
% 15.09/10.30 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB118, constB119)) | (v101(constB119) <=> (~((~v1(constB119)) | (~v102(constB119))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB118, constB119)) | (v101(constB119) <=> (~((~v1(constB119)) | (~v102(constB119))))))),
% 15.09/10.30 inference(rewrite,[status(thm)],[])).
% 15.09/10.30 tff(15016,plain,
% 15.09/10.30 (((~nextState(constB118, constB119)) | (v101(constB119) <=> (~((~v102(constB119)) | (~v1(constB119)))))) <=> ((~nextState(constB118, constB119)) | (v101(constB119) <=> (~((~v1(constB119)) | (~v102(constB119))))))),
% 15.09/10.30 inference(rewrite,[status(thm)],[])).
% 15.09/10.30 tff(15017,plain,
% 15.09/10.30 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB118, constB119)) | (v101(constB119) <=> (~((~v102(constB119)) | (~v1(constB119))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB118, constB119)) | (v101(constB119) <=> (~((~v1(constB119)) | (~v102(constB119)))))))),
% 15.09/10.30 inference(monotonicity,[status(thm)],[15016])).
% 15.09/10.30 tff(15018,plain,
% 15.09/10.30 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB118, constB119)) | (v101(constB119) <=> (~((~v102(constB119)) | (~v1(constB119))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB118, constB119)) | (v101(constB119) <=> (~((~v1(constB119)) | (~v102(constB119))))))),
% 15.09/10.30 inference(transitivity,[status(thm)],[15017, 15015])).
% 15.09/10.30 tff(15019,plain,
% 15.09/10.30 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB118, constB119)) | (v101(constB119) <=> (~((~v102(constB119)) | (~v1(constB119))))))),
% 15.09/10.30 inference(quant_inst,[status(thm)],[])).
% 15.09/10.30 tff(15020,plain,
% 15.09/10.30 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB118, constB119)) | (v101(constB119) <=> (~((~v1(constB119)) | (~v102(constB119)))))),
% 15.09/10.30 inference(modus_ponens,[status(thm)],[15019, 15018])).
% 15.09/10.30 tff(15021,plain,
% 15.09/10.30 (v101(constB119) <=> (~((~v1(constB119)) | (~v102(constB119))))),
% 15.09/10.30 inference(unit_resolution,[status(thm)],[15020, 15010, 450])).
% 15.09/10.30 tff(15022,plain,
% 15.09/10.30 (((~v1(constB119)) | (~v102(constB119))) | v1(constB119)),
% 15.09/10.30 inference(tautology,[status(thm)],[])).
% 15.09/10.30 tff(15023,plain,
% 15.09/10.30 ((~v1(constB119)) | (~v102(constB119))),
% 15.09/10.30 inference(unit_resolution,[status(thm)],[15022, 14969])).
% 15.09/10.30 tff(15024,plain,
% 15.09/10.30 ((~(v101(constB119) <=> (~((~v1(constB119)) | (~v102(constB119)))))) | (~v101(constB119)) | (~((~v1(constB119)) | (~v102(constB119))))),
% 15.09/10.30 inference(tautology,[status(thm)],[])).
% 15.09/10.30 tff(15025,plain,
% 15.09/10.30 ((~(v101(constB119) <=> (~((~v1(constB119)) | (~v102(constB119)))))) | (~v101(constB119))),
% 15.09/10.30 inference(unit_resolution,[status(thm)],[15024, 15023])).
% 15.09/10.30 tff(15026,plain,
% 15.09/10.30 (~v101(constB119)),
% 15.09/10.30 inference(unit_resolution,[status(thm)],[15025, 15021])).
% 15.09/10.30 tff(15027,plain,
% 15.09/10.30 (((~v101(constB119)) | (~v110(constB119))) | v101(constB119)),
% 15.09/10.30 inference(tautology,[status(thm)],[])).
% 15.09/10.30 tff(15028,plain,
% 15.09/10.30 ((~v101(constB119)) | (~v110(constB119))),
% 15.09/10.30 inference(unit_resolution,[status(thm)],[15027, 15026])).
% 15.09/10.30 tff(15029,plain,
% 15.09/10.30 ((~(v100(constB119) <=> (~((~v101(constB119)) | (~v110(constB119)))))) | (~v100(constB119)) | (~((~v101(constB119)) | (~v110(constB119))))),
% 15.09/10.30 inference(tautology,[status(thm)],[])).
% 15.09/10.30 tff(15030,plain,
% 15.09/10.30 (~v100(constB119)),
% 15.09/10.30 inference(unit_resolution,[status(thm)],[15029, 15028, 15014])).
% 15.09/10.30 tff(15031,plain,
% 15.09/10.30 (((~![VarCurr: $i, VarNext: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v90(VarCurr, B))))) | (v100(constB119) | (~nextState(constB118, constB119)) | ![B: $i] : ((~less_3(B)) | (v90(constB119, B) <=> v90(constB118, B))))) <=> ((~![VarCurr: $i, VarNext: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v90(VarCurr, B))))) | v100(constB119) | (~nextState(constB118, constB119)) | ![B: $i] : ((~less_3(B)) | (v90(constB119, B) <=> v90(constB118, B))))),
% 15.09/10.30 inference(rewrite,[status(thm)],[])).
% 15.09/10.30 tff(15032,plain,
% 15.09/10.30 ((~![VarCurr: $i, VarNext: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v90(VarCurr, B))))) | (v100(constB119) | (~nextState(constB118, constB119)) | ![B: $i] : ((~less_3(B)) | (v90(constB119, B) <=> v90(constB118, B))))),
% 15.09/10.30 inference(quant_inst,[status(thm)],[])).
% 15.09/10.30 tff(15033,plain,
% 15.09/10.30 ((~![VarCurr: $i, VarNext: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v90(VarCurr, B))))) | v100(constB119) | (~nextState(constB118, constB119)) | ![B: $i] : ((~less_3(B)) | (v90(constB119, B) <=> v90(constB118, B)))),
% 15.09/10.30 inference(modus_ponens,[status(thm)],[15032, 15031])).
% 15.09/10.30 tff(15034,plain,
% 15.09/10.30 (v100(constB119) | ![B: $i] : ((~less_3(B)) | (v90(constB119, B) <=> v90(constB118, B)))),
% 15.09/10.30 inference(unit_resolution,[status(thm)],[15033, 15010, 479])).
% 15.09/10.30 tff(15035,plain,
% 15.09/10.30 (![B: $i] : ((~less_3(B)) | (v90(constB119, B) <=> v90(constB118, B)))),
% 15.09/10.30 inference(unit_resolution,[status(thm)],[15034, 15030])).
% 15.09/10.30 tff(15036,plain,
% 15.09/10.30 (((~![B: $i] : ((~less_3(B)) | (v90(constB119, B) <=> v90(constB118, B)))) | ((~less_3(bitIndex2)) | (v90(constB119, bitIndex2) <=> v90(constB118, bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v90(constB119, B) <=> v90(constB118, B)))) | (~less_3(bitIndex2)) | (v90(constB119, bitIndex2) <=> v90(constB118, bitIndex2)))),
% 15.09/10.30 inference(rewrite,[status(thm)],[])).
% 15.09/10.30 tff(15037,plain,
% 15.09/10.30 ((~![B: $i] : ((~less_3(B)) | (v90(constB119, B) <=> v90(constB118, B)))) | ((~less_3(bitIndex2)) | (v90(constB119, bitIndex2) <=> v90(constB118, bitIndex2)))),
% 15.09/10.30 inference(quant_inst,[status(thm)],[])).
% 15.09/10.30 tff(15038,plain,
% 15.09/10.30 ((~![B: $i] : ((~less_3(B)) | (v90(constB119, B) <=> v90(constB118, B)))) | (~less_3(bitIndex2)) | (v90(constB119, bitIndex2) <=> v90(constB118, bitIndex2))),
% 15.09/10.30 inference(modus_ponens,[status(thm)],[15037, 15036])).
% 15.09/10.30 tff(15039,plain,
% 15.09/10.30 (v90(constB119, bitIndex2) <=> v90(constB118, bitIndex2)),
% 15.09/10.30 inference(unit_resolution,[status(thm)],[15038, 413, 15035])).
% 15.09/10.30 tff(15040,plain,
% 15.09/10.30 (nextState(constB117, constB118) <=> nextState(constB117, constB118)),
% 15.09/10.30 inference(rewrite,[status(thm)],[])).
% 15.09/10.30 tff(15041,axiom,(nextState(constB117, constB118)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_117')).
% 15.09/10.30 tff(15042,plain,
% 15.09/10.30 (nextState(constB117, constB118)),
% 15.09/10.30 inference(modus_ponens,[status(thm)],[15041, 15040])).
% 15.09/10.30 tff(15043,plain,
% 15.09/10.30 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB117, constB118)) | (v100(constB118) <=> (~((~v101(constB118)) | (~v110(constB118))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB117, constB118)) | (v100(constB118) <=> (~((~v101(constB118)) | (~v110(constB118))))))),
% 15.09/10.30 inference(rewrite,[status(thm)],[])).
% 15.09/10.30 tff(15044,plain,
% 15.09/10.30 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB117, constB118)) | (v100(constB118) <=> (~((~v101(constB118)) | (~v110(constB118))))))),
% 15.09/10.30 inference(quant_inst,[status(thm)],[])).
% 15.09/10.30 tff(15045,plain,
% 15.09/10.30 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB117, constB118)) | (v100(constB118) <=> (~((~v101(constB118)) | (~v110(constB118)))))),
% 15.09/10.30 inference(modus_ponens,[status(thm)],[15044, 15043])).
% 15.09/10.30 tff(15046,plain,
% 15.09/10.30 (v100(constB118) <=> (~((~v101(constB118)) | (~v110(constB118))))),
% 15.09/10.30 inference(unit_resolution,[status(thm)],[15045, 15042, 430])).
% 15.09/10.30 tff(15047,plain,
% 15.09/10.30 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB117, constB118)) | (v101(constB118) <=> (~((~v1(constB118)) | (~v102(constB118))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB117, constB118)) | (v101(constB118) <=> (~((~v1(constB118)) | (~v102(constB118))))))),
% 15.09/10.30 inference(rewrite,[status(thm)],[])).
% 15.09/10.30 tff(15048,plain,
% 15.09/10.30 (((~nextState(constB117, constB118)) | (v101(constB118) <=> (~((~v102(constB118)) | (~v1(constB118)))))) <=> ((~nextState(constB117, constB118)) | (v101(constB118) <=> (~((~v1(constB118)) | (~v102(constB118))))))),
% 15.09/10.30 inference(rewrite,[status(thm)],[])).
% 15.09/10.30 tff(15049,plain,
% 15.09/10.30 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB117, constB118)) | (v101(constB118) <=> (~((~v102(constB118)) | (~v1(constB118))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB117, constB118)) | (v101(constB118) <=> (~((~v1(constB118)) | (~v102(constB118)))))))),
% 15.09/10.30 inference(monotonicity,[status(thm)],[15048])).
% 15.09/10.30 tff(15050,plain,
% 15.09/10.30 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB117, constB118)) | (v101(constB118) <=> (~((~v102(constB118)) | (~v1(constB118))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB117, constB118)) | (v101(constB118) <=> (~((~v1(constB118)) | (~v102(constB118))))))),
% 15.09/10.30 inference(transitivity,[status(thm)],[15049, 15047])).
% 15.09/10.30 tff(15051,plain,
% 15.09/10.30 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB117, constB118)) | (v101(constB118) <=> (~((~v102(constB118)) | (~v1(constB118))))))),
% 15.09/10.30 inference(quant_inst,[status(thm)],[])).
% 15.09/10.30 tff(15052,plain,
% 15.09/10.30 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB117, constB118)) | (v101(constB118) <=> (~((~v1(constB118)) | (~v102(constB118)))))),
% 15.09/10.30 inference(modus_ponens,[status(thm)],[15051, 15050])).
% 15.09/10.30 tff(15053,plain,
% 15.09/10.30 (v101(constB118) <=> (~((~v1(constB118)) | (~v102(constB118))))),
% 15.09/10.30 inference(unit_resolution,[status(thm)],[15052, 15042, 450])).
% 15.09/10.30 tff(15054,plain,
% 15.09/10.30 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | ((~nextState(constB117, constB118)) | ((~v102(constB118)) <=> v104(constB118)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | (~nextState(constB117, constB118)) | ((~v102(constB118)) <=> v104(constB118)))),
% 15.09/10.30 inference(rewrite,[status(thm)],[])).
% 15.09/10.30 tff(15055,plain,
% 15.09/10.30 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | ((~nextState(constB117, constB118)) | ((~v102(constB118)) <=> v104(constB118)))),
% 15.09/10.30 inference(quant_inst,[status(thm)],[])).
% 15.09/10.30 tff(15056,plain,
% 15.09/10.30 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | (~nextState(constB117, constB118)) | ((~v102(constB118)) <=> v104(constB118))),
% 15.09/10.30 inference(modus_ponens,[status(thm)],[15055, 15054])).
% 15.09/10.30 tff(15057,plain,
% 15.09/10.30 ((~v102(constB118)) <=> v104(constB118)),
% 15.09/10.30 inference(unit_resolution,[status(thm)],[15056, 15042, 512])).
% 15.09/10.30 tff(15058,plain,
% 15.09/10.30 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB117, constB118)) | (v104(constB118) <=> v1(constB117)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | (~nextState(constB117, constB118)) | (v104(constB118) <=> v1(constB117)))),
% 15.09/10.30 inference(rewrite,[status(thm)],[])).
% 15.09/10.30 tff(15059,plain,
% 15.09/10.30 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB117, constB118)) | (v104(constB118) <=> v1(constB117)))),
% 15.09/10.30 inference(quant_inst,[status(thm)],[])).
% 15.09/10.30 tff(15060,plain,
% 15.09/10.30 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | (~nextState(constB117, constB118)) | (v104(constB118) <=> v1(constB117))),
% 15.09/10.30 inference(modus_ponens,[status(thm)],[15059, 15058])).
% 15.09/10.30 tff(15061,plain,
% 15.09/10.30 (v104(constB118) <=> v1(constB117)),
% 15.09/10.30 inference(unit_resolution,[status(thm)],[15060, 15042, 526])).
% 15.09/10.30 tff(15062,plain,
% 15.09/10.30 ((~v1(constB117)) <=> (~v1(constB117))),
% 15.09/10.30 inference(rewrite,[status(thm)],[])).
% 15.09/10.30 tff(15063,axiom,(~v1(constB117)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_117')).
% 15.09/10.30 tff(15064,plain,
% 15.09/10.30 (~v1(constB117)),
% 15.09/10.30 inference(modus_ponens,[status(thm)],[15063, 15062])).
% 15.09/10.30 tff(15065,plain,
% 15.09/10.30 ((~(v104(constB118) <=> v1(constB117))) | (~v104(constB118)) | v1(constB117)),
% 15.09/10.30 inference(tautology,[status(thm)],[])).
% 15.09/10.30 tff(15066,plain,
% 15.09/10.30 ((~(v104(constB118) <=> v1(constB117))) | (~v104(constB118))),
% 15.09/10.30 inference(unit_resolution,[status(thm)],[15065, 15064])).
% 15.09/10.30 tff(15067,plain,
% 15.09/10.30 (~v104(constB118)),
% 15.09/10.30 inference(unit_resolution,[status(thm)],[15066, 15061])).
% 15.09/10.30 tff(15068,plain,
% 15.09/10.30 ((~((~v102(constB118)) <=> v104(constB118))) | v102(constB118) | v104(constB118)),
% 15.09/10.30 inference(tautology,[status(thm)],[])).
% 15.09/10.30 tff(15069,plain,
% 15.09/10.30 (v102(constB118)),
% 15.09/10.30 inference(unit_resolution,[status(thm)],[15068, 15067, 15057])).
% 15.09/10.30 tff(15070,plain,
% 15.09/10.30 (v1(constB118) <=> v1(constB118)),
% 15.09/10.30 inference(rewrite,[status(thm)],[])).
% 15.09/10.30 tff(15071,axiom,(v1(constB118)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_118')).
% 15.09/10.30 tff(15072,plain,
% 15.09/10.30 (v1(constB118)),
% 15.09/10.30 inference(modus_ponens,[status(thm)],[15071, 15070])).
% 15.09/10.30 tff(15073,plain,
% 15.09/10.30 ((~((~v1(constB118)) | (~v102(constB118)))) | (~v1(constB118)) | (~v102(constB118))),
% 15.09/10.30 inference(tautology,[status(thm)],[])).
% 15.09/10.30 tff(15074,plain,
% 15.09/10.30 ((~((~v1(constB118)) | (~v102(constB118)))) | (~v102(constB118))),
% 15.09/10.30 inference(unit_resolution,[status(thm)],[15073, 15072])).
% 15.09/10.30 tff(15075,plain,
% 15.09/10.30 (~((~v1(constB118)) | (~v102(constB118)))),
% 15.09/10.30 inference(unit_resolution,[status(thm)],[15074, 15069])).
% 15.09/10.30 tff(15076,plain,
% 15.09/10.30 ((~(v101(constB118) <=> (~((~v1(constB118)) | (~v102(constB118)))))) | v101(constB118) | ((~v1(constB118)) | (~v102(constB118)))),
% 15.09/10.30 inference(tautology,[status(thm)],[])).
% 15.09/10.30 tff(15077,plain,
% 15.09/10.30 (v101(constB118)),
% 15.09/10.30 inference(unit_resolution,[status(thm)],[15076, 15075, 15053])).
% 15.09/10.30 tff(15078,plain,
% 15.09/10.30 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | ((~nextState(constB117, constB118)) | (v110(constB118) <=> v108(constB117)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | (~nextState(constB117, constB118)) | (v110(constB118) <=> v108(constB117)))),
% 15.09/10.30 inference(rewrite,[status(thm)],[])).
% 15.09/10.30 tff(15079,plain,
% 15.09/10.30 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | ((~nextState(constB117, constB118)) | (v110(constB118) <=> v108(constB117)))),
% 15.09/10.30 inference(quant_inst,[status(thm)],[])).
% 15.09/10.30 tff(15080,plain,
% 15.09/10.30 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | (~nextState(constB117, constB118)) | (v110(constB118) <=> v108(constB117))),
% 15.09/10.30 inference(modus_ponens,[status(thm)],[15079, 15078])).
% 15.09/10.30 tff(15081,plain,
% 15.09/10.30 (v110(constB118) <=> v108(constB117)),
% 15.09/10.30 inference(unit_resolution,[status(thm)],[15080, 15042, 556])).
% 15.09/10.30 tff(15082,plain,
% 15.09/10.30 ((~![VarCurr: $i] : (v108(VarCurr) <=> (v111(VarCurr) | v112(VarCurr)))) | (v108(constB117) <=> (v111(constB117) | v112(constB117)))),
% 15.09/10.30 inference(quant_inst,[status(thm)],[])).
% 15.09/10.30 tff(15083,plain,
% 15.09/10.30 (v108(constB117) <=> (v111(constB117) | v112(constB117))),
% 15.09/10.30 inference(unit_resolution,[status(thm)],[15082, 567])).
% 15.09/10.30 tff(15084,plain,
% 15.09/10.30 ((~![VarCurr: $i] : (v112(VarCurr) <=> (~((~v113(VarCurr)) | (~v126(VarCurr)))))) | (v112(constB117) <=> (~((~v113(constB117)) | (~v126(constB117)))))),
% 15.09/10.30 inference(quant_inst,[status(thm)],[])).
% 15.09/10.30 tff(15085,plain,
% 15.09/10.30 (v112(constB117) <=> (~((~v113(constB117)) | (~v126(constB117))))),
% 15.09/10.30 inference(unit_resolution,[status(thm)],[15084, 579])).
% 15.09/10.30 tff(15086,plain,
% 15.09/10.30 ((~![VarCurr: $i] : (v113(VarCurr) <=> (v114(VarCurr) | v125(VarCurr)))) | (v113(constB117) <=> (v114(constB117) | v125(constB117)))),
% 15.09/10.30 inference(quant_inst,[status(thm)],[])).
% 15.09/10.30 tff(15087,plain,
% 15.09/10.30 (v113(constB117) <=> (v114(constB117) | v125(constB117))),
% 15.09/10.30 inference(unit_resolution,[status(thm)],[15086, 588])).
% 15.09/10.30 tff(15088,plain,
% 15.09/10.30 ((~![VarCurr: $i] : (v114(VarCurr) <=> (v115(VarCurr) | v124(VarCurr)))) | (v114(constB117) <=> (v115(constB117) | v124(constB117)))),
% 15.09/10.30 inference(quant_inst,[status(thm)],[])).
% 15.09/10.30 tff(15089,plain,
% 15.09/10.30 (v114(constB117) <=> (v115(constB117) | v124(constB117))),
% 15.09/10.30 inference(unit_resolution,[status(thm)],[15088, 597])).
% 15.09/10.30 tff(15090,plain,
% 15.09/10.30 ((~![VarCurr: $i] : (v115(VarCurr) <=> (v116(VarCurr) | v123(VarCurr)))) | (v115(constB117) <=> (v116(constB117) | v123(constB117)))),
% 15.09/10.30 inference(quant_inst,[status(thm)],[])).
% 15.09/10.30 tff(15091,plain,
% 15.09/10.30 (v115(constB117) <=> (v116(constB117) | v123(constB117))),
% 15.09/10.30 inference(unit_resolution,[status(thm)],[15090, 606])).
% 15.09/10.30 tff(15092,plain,
% 15.09/10.30 ((~![VarCurr: $i] : (v116(VarCurr) <=> (v117(VarCurr) | v122(VarCurr)))) | (v116(constB117) <=> (v117(constB117) | v122(constB117)))),
% 15.09/10.30 inference(quant_inst,[status(thm)],[])).
% 15.09/10.30 tff(15093,plain,
% 15.09/10.30 (v116(constB117) <=> (v117(constB117) | v122(constB117))),
% 15.09/10.30 inference(unit_resolution,[status(thm)],[15092, 719])).
% 15.09/10.30 tff(15094,plain,
% 15.09/10.30 ((~![VarCurr: $i] : (v117(VarCurr) <=> (v118(VarCurr) | v121(VarCurr)))) | (v117(constB117) <=> (v118(constB117) | v121(constB117)))),
% 15.09/10.30 inference(quant_inst,[status(thm)],[])).
% 15.09/10.30 tff(15095,plain,
% 15.09/10.30 (v117(constB117) <=> (v118(constB117) | v121(constB117))),
% 15.09/10.30 inference(unit_resolution,[status(thm)],[15094, 834])).
% 15.09/10.30 tff(15096,plain,
% 15.09/10.30 ((~![VarCurr: $i] : (v118(VarCurr) <=> (v119(VarCurr) | v120(VarCurr)))) | (v118(constB117) <=> (v119(constB117) | v120(constB117)))),
% 15.09/10.30 inference(quant_inst,[status(thm)],[])).
% 15.09/10.30 tff(15097,plain,
% 15.09/10.30 (v118(constB117) <=> (v119(constB117) | v120(constB117))),
% 15.09/10.30 inference(unit_resolution,[status(thm)],[15096, 951])).
% 15.09/10.30 tff(15098,plain,
% 15.09/10.30 (((~![VarCurr: $i] : (v120(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)))))) | (v120(constB117) <=> (~(v90(constB117, bitIndex2) | v90(constB117, bitIndex1) | (~v90(constB117, bitIndex0)))))) <=> ((~![VarCurr: $i] : (v120(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)))))) | (v120(constB117) <=> (~(v90(constB117, bitIndex2) | v90(constB117, bitIndex1) | (~v90(constB117, bitIndex0))))))),
% 15.09/10.30 inference(rewrite,[status(thm)],[])).
% 15.09/10.30 tff(15099,plain,
% 15.09/10.30 ((v120(constB117) <=> (~(v90(constB117, bitIndex1) | v90(constB117, bitIndex2) | (~v90(constB117, bitIndex0))))) <=> (v120(constB117) <=> (~(v90(constB117, bitIndex2) | v90(constB117, bitIndex1) | (~v90(constB117, bitIndex0)))))),
% 15.09/10.30 inference(rewrite,[status(thm)],[])).
% 15.09/10.30 tff(15100,plain,
% 15.09/10.30 (((~![VarCurr: $i] : (v120(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)))))) | (v120(constB117) <=> (~(v90(constB117, bitIndex1) | v90(constB117, bitIndex2) | (~v90(constB117, bitIndex0)))))) <=> ((~![VarCurr: $i] : (v120(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)))))) | (v120(constB117) <=> (~(v90(constB117, bitIndex2) | v90(constB117, bitIndex1) | (~v90(constB117, bitIndex0))))))),
% 15.09/10.30 inference(monotonicity,[status(thm)],[15099])).
% 15.09/10.30 tff(15101,plain,
% 15.09/10.30 (((~![VarCurr: $i] : (v120(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)))))) | (v120(constB117) <=> (~(v90(constB117, bitIndex1) | v90(constB117, bitIndex2) | (~v90(constB117, bitIndex0)))))) <=> ((~![VarCurr: $i] : (v120(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)))))) | (v120(constB117) <=> (~(v90(constB117, bitIndex2) | v90(constB117, bitIndex1) | (~v90(constB117, bitIndex0))))))),
% 15.09/10.30 inference(transitivity,[status(thm)],[15100, 15098])).
% 15.09/10.30 tff(15102,plain,
% 15.09/10.30 ((~![VarCurr: $i] : (v120(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)))))) | (v120(constB117) <=> (~(v90(constB117, bitIndex1) | v90(constB117, bitIndex2) | (~v90(constB117, bitIndex0)))))),
% 15.09/10.30 inference(quant_inst,[status(thm)],[])).
% 15.09/10.30 tff(15103,plain,
% 15.09/10.30 ((~![VarCurr: $i] : (v120(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)))))) | (v120(constB117) <=> (~(v90(constB117, bitIndex2) | v90(constB117, bitIndex1) | (~v90(constB117, bitIndex0)))))),
% 15.09/10.30 inference(modus_ponens,[status(thm)],[15102, 15101])).
% 15.09/10.30 tff(15104,plain,
% 15.09/10.30 (v120(constB117) <=> (~(v90(constB117, bitIndex2) | v90(constB117, bitIndex1) | (~v90(constB117, bitIndex0))))),
% 15.09/10.30 inference(unit_resolution,[status(thm)],[15103, 966])).
% 15.09/10.30 tff(15105,plain,
% 15.09/10.30 (nextState(constB116, constB117) <=> nextState(constB116, constB117)),
% 15.09/10.30 inference(rewrite,[status(thm)],[])).
% 15.09/10.30 tff(15106,axiom,(nextState(constB116, constB117)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_116')).
% 15.09/10.30 tff(15107,plain,
% 15.09/10.30 (nextState(constB116, constB117)),
% 15.09/10.30 inference(modus_ponens,[status(thm)],[15106, 15105])).
% 15.09/10.30 tff(15108,plain,
% 15.09/10.30 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB116, constB117)) | (v100(constB117) <=> (~((~v101(constB117)) | (~v110(constB117))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB116, constB117)) | (v100(constB117) <=> (~((~v101(constB117)) | (~v110(constB117))))))),
% 15.09/10.30 inference(rewrite,[status(thm)],[])).
% 15.09/10.30 tff(15109,plain,
% 15.09/10.30 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB116, constB117)) | (v100(constB117) <=> (~((~v101(constB117)) | (~v110(constB117))))))),
% 15.09/10.30 inference(quant_inst,[status(thm)],[])).
% 15.09/10.30 tff(15110,plain,
% 15.09/10.30 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB116, constB117)) | (v100(constB117) <=> (~((~v101(constB117)) | (~v110(constB117)))))),
% 15.09/10.30 inference(modus_ponens,[status(thm)],[15109, 15108])).
% 15.09/10.30 tff(15111,plain,
% 15.09/10.30 (v100(constB117) <=> (~((~v101(constB117)) | (~v110(constB117))))),
% 15.09/10.30 inference(unit_resolution,[status(thm)],[15110, 15107, 430])).
% 15.09/10.30 tff(15112,plain,
% 15.09/10.30 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB116, constB117)) | (v101(constB117) <=> (~((~v1(constB117)) | (~v102(constB117))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB116, constB117)) | (v101(constB117) <=> (~((~v1(constB117)) | (~v102(constB117))))))),
% 15.09/10.30 inference(rewrite,[status(thm)],[])).
% 15.09/10.30 tff(15113,plain,
% 15.09/10.30 (((~nextState(constB116, constB117)) | (v101(constB117) <=> (~((~v102(constB117)) | (~v1(constB117)))))) <=> ((~nextState(constB116, constB117)) | (v101(constB117) <=> (~((~v1(constB117)) | (~v102(constB117))))))),
% 15.09/10.30 inference(rewrite,[status(thm)],[])).
% 15.09/10.30 tff(15114,plain,
% 15.09/10.30 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB116, constB117)) | (v101(constB117) <=> (~((~v102(constB117)) | (~v1(constB117))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB116, constB117)) | (v101(constB117) <=> (~((~v1(constB117)) | (~v102(constB117)))))))),
% 15.09/10.30 inference(monotonicity,[status(thm)],[15113])).
% 15.09/10.30 tff(15115,plain,
% 15.09/10.30 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB116, constB117)) | (v101(constB117) <=> (~((~v102(constB117)) | (~v1(constB117))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB116, constB117)) | (v101(constB117) <=> (~((~v1(constB117)) | (~v102(constB117))))))),
% 15.09/10.31 inference(transitivity,[status(thm)],[15114, 15112])).
% 15.09/10.31 tff(15116,plain,
% 15.09/10.31 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB116, constB117)) | (v101(constB117) <=> (~((~v102(constB117)) | (~v1(constB117))))))),
% 15.09/10.31 inference(quant_inst,[status(thm)],[])).
% 15.09/10.31 tff(15117,plain,
% 15.09/10.31 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB116, constB117)) | (v101(constB117) <=> (~((~v1(constB117)) | (~v102(constB117)))))),
% 15.09/10.31 inference(modus_ponens,[status(thm)],[15116, 15115])).
% 15.09/10.31 tff(15118,plain,
% 15.09/10.31 (v101(constB117) <=> (~((~v1(constB117)) | (~v102(constB117))))),
% 15.09/10.31 inference(unit_resolution,[status(thm)],[15117, 15107, 450])).
% 15.09/10.31 tff(15119,plain,
% 15.09/10.31 (((~v1(constB117)) | (~v102(constB117))) | v1(constB117)),
% 15.09/10.31 inference(tautology,[status(thm)],[])).
% 15.09/10.31 tff(15120,plain,
% 15.09/10.31 ((~v1(constB117)) | (~v102(constB117))),
% 15.09/10.31 inference(unit_resolution,[status(thm)],[15119, 15064])).
% 15.09/10.31 tff(15121,plain,
% 15.09/10.31 ((~(v101(constB117) <=> (~((~v1(constB117)) | (~v102(constB117)))))) | (~v101(constB117)) | (~((~v1(constB117)) | (~v102(constB117))))),
% 15.09/10.31 inference(tautology,[status(thm)],[])).
% 15.09/10.31 tff(15122,plain,
% 15.09/10.31 ((~(v101(constB117) <=> (~((~v1(constB117)) | (~v102(constB117)))))) | (~v101(constB117))),
% 15.09/10.31 inference(unit_resolution,[status(thm)],[15121, 15120])).
% 15.09/10.31 tff(15123,plain,
% 15.09/10.31 (~v101(constB117)),
% 15.09/10.31 inference(unit_resolution,[status(thm)],[15122, 15118])).
% 15.09/10.31 tff(15124,plain,
% 15.09/10.31 (((~v101(constB117)) | (~v110(constB117))) | v101(constB117)),
% 15.09/10.31 inference(tautology,[status(thm)],[])).
% 15.09/10.31 tff(15125,plain,
% 15.09/10.31 ((~v101(constB117)) | (~v110(constB117))),
% 15.09/10.31 inference(unit_resolution,[status(thm)],[15124, 15123])).
% 15.09/10.31 tff(15126,plain,
% 15.09/10.31 ((~(v100(constB117) <=> (~((~v101(constB117)) | (~v110(constB117)))))) | (~v100(constB117)) | (~((~v101(constB117)) | (~v110(constB117))))),
% 15.09/10.31 inference(tautology,[status(thm)],[])).
% 15.09/10.31 tff(15127,plain,
% 15.09/10.31 (~v100(constB117)),
% 15.09/10.31 inference(unit_resolution,[status(thm)],[15126, 15125, 15111])).
% 15.09/10.31 tff(15128,plain,
% 15.09/10.31 (((~![VarCurr: $i, VarNext: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v90(VarCurr, B))))) | (v100(constB117) | (~nextState(constB116, constB117)) | ![B: $i] : ((~less_3(B)) | (v90(constB117, B) <=> v90(constB116, B))))) <=> ((~![VarCurr: $i, VarNext: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v90(VarCurr, B))))) | v100(constB117) | (~nextState(constB116, constB117)) | ![B: $i] : ((~less_3(B)) | (v90(constB117, B) <=> v90(constB116, B))))),
% 15.09/10.31 inference(rewrite,[status(thm)],[])).
% 15.09/10.31 tff(15129,plain,
% 15.09/10.31 ((~![VarCurr: $i, VarNext: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v90(VarCurr, B))))) | (v100(constB117) | (~nextState(constB116, constB117)) | ![B: $i] : ((~less_3(B)) | (v90(constB117, B) <=> v90(constB116, B))))),
% 15.09/10.31 inference(quant_inst,[status(thm)],[])).
% 15.09/10.31 tff(15130,plain,
% 15.09/10.31 ((~![VarCurr: $i, VarNext: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v90(VarCurr, B))))) | v100(constB117) | (~nextState(constB116, constB117)) | ![B: $i] : ((~less_3(B)) | (v90(constB117, B) <=> v90(constB116, B)))),
% 15.09/10.31 inference(modus_ponens,[status(thm)],[15129, 15128])).
% 15.09/10.31 tff(15131,plain,
% 15.09/10.31 (v100(constB117) | ![B: $i] : ((~less_3(B)) | (v90(constB117, B) <=> v90(constB116, B)))),
% 15.09/10.31 inference(unit_resolution,[status(thm)],[15130, 15107, 479])).
% 15.09/10.31 tff(15132,plain,
% 15.09/10.31 (![B: $i] : ((~less_3(B)) | (v90(constB117, B) <=> v90(constB116, B)))),
% 15.09/10.31 inference(unit_resolution,[status(thm)],[15131, 15127])).
% 15.09/10.31 tff(15133,plain,
% 15.09/10.31 (((~![B: $i] : ((~less_3(B)) | (v90(constB117, B) <=> v90(constB116, B)))) | ((~less_3(bitIndex2)) | (v90(constB117, bitIndex2) <=> v90(constB116, bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v90(constB117, B) <=> v90(constB116, B)))) | (~less_3(bitIndex2)) | (v90(constB117, bitIndex2) <=> v90(constB116, bitIndex2)))),
% 15.09/10.31 inference(rewrite,[status(thm)],[])).
% 15.09/10.31 tff(15134,plain,
% 15.09/10.31 ((~![B: $i] : ((~less_3(B)) | (v90(constB117, B) <=> v90(constB116, B)))) | ((~less_3(bitIndex2)) | (v90(constB117, bitIndex2) <=> v90(constB116, bitIndex2)))),
% 15.09/10.31 inference(quant_inst,[status(thm)],[])).
% 15.09/10.31 tff(15135,plain,
% 15.09/10.31 ((~![B: $i] : ((~less_3(B)) | (v90(constB117, B) <=> v90(constB116, B)))) | (~less_3(bitIndex2)) | (v90(constB117, bitIndex2) <=> v90(constB116, bitIndex2))),
% 15.09/10.31 inference(modus_ponens,[status(thm)],[15134, 15133])).
% 15.09/10.31 tff(15136,plain,
% 15.09/10.31 (v90(constB117, bitIndex2) <=> v90(constB116, bitIndex2)),
% 15.09/10.31 inference(unit_resolution,[status(thm)],[15135, 413, 15132])).
% 15.09/10.31 tff(15137,plain,
% 15.09/10.31 (nextState(constB115, constB116) <=> nextState(constB115, constB116)),
% 15.09/10.31 inference(rewrite,[status(thm)],[])).
% 15.09/10.31 tff(15138,axiom,(nextState(constB115, constB116)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_115')).
% 15.09/10.31 tff(15139,plain,
% 15.09/10.31 (nextState(constB115, constB116)),
% 15.09/10.31 inference(modus_ponens,[status(thm)],[15138, 15137])).
% 15.09/10.31 tff(15140,plain,
% 15.09/10.31 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB115, constB116)) | (v100(constB116) <=> (~((~v101(constB116)) | (~v110(constB116))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB115, constB116)) | (v100(constB116) <=> (~((~v101(constB116)) | (~v110(constB116))))))),
% 15.09/10.31 inference(rewrite,[status(thm)],[])).
% 15.09/10.31 tff(15141,plain,
% 15.09/10.31 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB115, constB116)) | (v100(constB116) <=> (~((~v101(constB116)) | (~v110(constB116))))))),
% 15.09/10.31 inference(quant_inst,[status(thm)],[])).
% 15.09/10.31 tff(15142,plain,
% 15.09/10.31 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB115, constB116)) | (v100(constB116) <=> (~((~v101(constB116)) | (~v110(constB116)))))),
% 15.09/10.31 inference(modus_ponens,[status(thm)],[15141, 15140])).
% 15.09/10.31 tff(15143,plain,
% 15.09/10.31 (v100(constB116) <=> (~((~v101(constB116)) | (~v110(constB116))))),
% 15.09/10.31 inference(unit_resolution,[status(thm)],[15142, 15139, 430])).
% 15.09/10.31 tff(15144,plain,
% 15.09/10.31 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB115, constB116)) | (v101(constB116) <=> (~((~v1(constB116)) | (~v102(constB116))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB115, constB116)) | (v101(constB116) <=> (~((~v1(constB116)) | (~v102(constB116))))))),
% 15.09/10.31 inference(rewrite,[status(thm)],[])).
% 15.09/10.31 tff(15145,plain,
% 15.09/10.31 (((~nextState(constB115, constB116)) | (v101(constB116) <=> (~((~v102(constB116)) | (~v1(constB116)))))) <=> ((~nextState(constB115, constB116)) | (v101(constB116) <=> (~((~v1(constB116)) | (~v102(constB116))))))),
% 15.09/10.31 inference(rewrite,[status(thm)],[])).
% 15.09/10.31 tff(15146,plain,
% 15.09/10.31 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB115, constB116)) | (v101(constB116) <=> (~((~v102(constB116)) | (~v1(constB116))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB115, constB116)) | (v101(constB116) <=> (~((~v1(constB116)) | (~v102(constB116)))))))),
% 15.09/10.31 inference(monotonicity,[status(thm)],[15145])).
% 15.09/10.31 tff(15147,plain,
% 15.09/10.31 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB115, constB116)) | (v101(constB116) <=> (~((~v102(constB116)) | (~v1(constB116))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB115, constB116)) | (v101(constB116) <=> (~((~v1(constB116)) | (~v102(constB116))))))),
% 15.09/10.31 inference(transitivity,[status(thm)],[15146, 15144])).
% 15.09/10.31 tff(15148,plain,
% 15.09/10.31 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB115, constB116)) | (v101(constB116) <=> (~((~v102(constB116)) | (~v1(constB116))))))),
% 15.09/10.31 inference(quant_inst,[status(thm)],[])).
% 15.09/10.31 tff(15149,plain,
% 15.09/10.31 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB115, constB116)) | (v101(constB116) <=> (~((~v1(constB116)) | (~v102(constB116)))))),
% 15.09/10.31 inference(modus_ponens,[status(thm)],[15148, 15147])).
% 15.09/10.31 tff(15150,plain,
% 15.09/10.31 (v101(constB116) <=> (~((~v1(constB116)) | (~v102(constB116))))),
% 15.09/10.31 inference(unit_resolution,[status(thm)],[15149, 15139, 450])).
% 15.09/10.31 tff(15151,plain,
% 15.09/10.31 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | ((~nextState(constB115, constB116)) | ((~v102(constB116)) <=> v104(constB116)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | (~nextState(constB115, constB116)) | ((~v102(constB116)) <=> v104(constB116)))),
% 15.09/10.31 inference(rewrite,[status(thm)],[])).
% 15.09/10.31 tff(15152,plain,
% 15.09/10.31 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | ((~nextState(constB115, constB116)) | ((~v102(constB116)) <=> v104(constB116)))),
% 15.09/10.31 inference(quant_inst,[status(thm)],[])).
% 15.09/10.31 tff(15153,plain,
% 15.09/10.31 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | (~nextState(constB115, constB116)) | ((~v102(constB116)) <=> v104(constB116))),
% 15.09/10.31 inference(modus_ponens,[status(thm)],[15152, 15151])).
% 15.09/10.31 tff(15154,plain,
% 15.09/10.31 ((~v102(constB116)) <=> v104(constB116)),
% 15.09/10.31 inference(unit_resolution,[status(thm)],[15153, 15139, 512])).
% 15.09/10.31 tff(15155,plain,
% 15.09/10.31 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB115, constB116)) | (v104(constB116) <=> v1(constB115)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | (~nextState(constB115, constB116)) | (v104(constB116) <=> v1(constB115)))),
% 15.09/10.31 inference(rewrite,[status(thm)],[])).
% 15.09/10.31 tff(15156,plain,
% 15.09/10.31 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB115, constB116)) | (v104(constB116) <=> v1(constB115)))),
% 15.09/10.31 inference(quant_inst,[status(thm)],[])).
% 15.09/10.31 tff(15157,plain,
% 15.09/10.31 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | (~nextState(constB115, constB116)) | (v104(constB116) <=> v1(constB115))),
% 15.09/10.31 inference(modus_ponens,[status(thm)],[15156, 15155])).
% 15.09/10.31 tff(15158,plain,
% 15.09/10.31 (v104(constB116) <=> v1(constB115)),
% 15.09/10.31 inference(unit_resolution,[status(thm)],[15157, 15139, 526])).
% 15.09/10.31 tff(15159,plain,
% 15.09/10.31 ((~v1(constB115)) <=> (~v1(constB115))),
% 15.09/10.31 inference(rewrite,[status(thm)],[])).
% 15.09/10.31 tff(15160,axiom,(~v1(constB115)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_115')).
% 15.09/10.31 tff(15161,plain,
% 15.09/10.31 (~v1(constB115)),
% 15.09/10.31 inference(modus_ponens,[status(thm)],[15160, 15159])).
% 15.09/10.31 tff(15162,plain,
% 15.09/10.31 ((~(v104(constB116) <=> v1(constB115))) | (~v104(constB116)) | v1(constB115)),
% 15.09/10.31 inference(tautology,[status(thm)],[])).
% 15.09/10.31 tff(15163,plain,
% 15.09/10.31 ((~(v104(constB116) <=> v1(constB115))) | (~v104(constB116))),
% 15.09/10.31 inference(unit_resolution,[status(thm)],[15162, 15161])).
% 15.09/10.31 tff(15164,plain,
% 15.09/10.31 (~v104(constB116)),
% 15.09/10.31 inference(unit_resolution,[status(thm)],[15163, 15158])).
% 15.09/10.31 tff(15165,plain,
% 15.09/10.31 ((~((~v102(constB116)) <=> v104(constB116))) | v102(constB116) | v104(constB116)),
% 15.09/10.31 inference(tautology,[status(thm)],[])).
% 15.09/10.31 tff(15166,plain,
% 15.09/10.31 (v102(constB116)),
% 15.09/10.31 inference(unit_resolution,[status(thm)],[15165, 15164, 15154])).
% 15.09/10.31 tff(15167,plain,
% 15.09/10.31 (v1(constB116) <=> v1(constB116)),
% 15.09/10.31 inference(rewrite,[status(thm)],[])).
% 15.09/10.31 tff(15168,axiom,(v1(constB116)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_116')).
% 15.09/10.31 tff(15169,plain,
% 15.09/10.31 (v1(constB116)),
% 15.09/10.31 inference(modus_ponens,[status(thm)],[15168, 15167])).
% 15.09/10.31 tff(15170,plain,
% 15.09/10.31 ((~((~v1(constB116)) | (~v102(constB116)))) | (~v1(constB116)) | (~v102(constB116))),
% 15.09/10.31 inference(tautology,[status(thm)],[])).
% 15.09/10.31 tff(15171,plain,
% 15.09/10.31 ((~((~v1(constB116)) | (~v102(constB116)))) | (~v102(constB116))),
% 15.09/10.31 inference(unit_resolution,[status(thm)],[15170, 15169])).
% 15.09/10.31 tff(15172,plain,
% 15.09/10.31 (~((~v1(constB116)) | (~v102(constB116)))),
% 15.09/10.31 inference(unit_resolution,[status(thm)],[15171, 15166])).
% 15.09/10.31 tff(15173,plain,
% 15.09/10.31 ((~(v101(constB116) <=> (~((~v1(constB116)) | (~v102(constB116)))))) | v101(constB116) | ((~v1(constB116)) | (~v102(constB116)))),
% 15.09/10.31 inference(tautology,[status(thm)],[])).
% 15.09/10.31 tff(15174,plain,
% 15.09/10.31 (v101(constB116)),
% 15.09/10.31 inference(unit_resolution,[status(thm)],[15173, 15172, 15150])).
% 15.09/10.31 tff(15175,plain,
% 15.09/10.31 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | ((~nextState(constB115, constB116)) | (v110(constB116) <=> v108(constB115)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | (~nextState(constB115, constB116)) | (v110(constB116) <=> v108(constB115)))),
% 15.09/10.31 inference(rewrite,[status(thm)],[])).
% 15.09/10.31 tff(15176,plain,
% 15.09/10.31 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | ((~nextState(constB115, constB116)) | (v110(constB116) <=> v108(constB115)))),
% 15.09/10.31 inference(quant_inst,[status(thm)],[])).
% 15.09/10.31 tff(15177,plain,
% 15.09/10.31 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | (~nextState(constB115, constB116)) | (v110(constB116) <=> v108(constB115))),
% 15.09/10.31 inference(modus_ponens,[status(thm)],[15176, 15175])).
% 15.09/10.31 tff(15178,plain,
% 15.09/10.31 (v110(constB116) <=> v108(constB115)),
% 15.09/10.31 inference(unit_resolution,[status(thm)],[15177, 15139, 556])).
% 15.09/10.31 tff(15179,plain,
% 15.09/10.31 ((~![VarCurr: $i] : (v108(VarCurr) <=> (v111(VarCurr) | v112(VarCurr)))) | (v108(constB115) <=> (v111(constB115) | v112(constB115)))),
% 15.09/10.31 inference(quant_inst,[status(thm)],[])).
% 15.09/10.31 tff(15180,plain,
% 15.09/10.31 (v108(constB115) <=> (v111(constB115) | v112(constB115))),
% 15.09/10.31 inference(unit_resolution,[status(thm)],[15179, 567])).
% 15.09/10.31 tff(15181,plain,
% 15.09/10.31 ((~![VarCurr: $i] : (v112(VarCurr) <=> (~((~v113(VarCurr)) | (~v126(VarCurr)))))) | (v112(constB115) <=> (~((~v113(constB115)) | (~v126(constB115)))))),
% 15.09/10.31 inference(quant_inst,[status(thm)],[])).
% 15.09/10.31 tff(15182,plain,
% 15.09/10.31 (v112(constB115) <=> (~((~v113(constB115)) | (~v126(constB115))))),
% 15.09/10.31 inference(unit_resolution,[status(thm)],[15181, 579])).
% 15.09/10.31 tff(15183,plain,
% 15.09/10.31 ((~![VarCurr: $i] : (v113(VarCurr) <=> (v114(VarCurr) | v125(VarCurr)))) | (v113(constB115) <=> (v114(constB115) | v125(constB115)))),
% 15.09/10.31 inference(quant_inst,[status(thm)],[])).
% 15.09/10.31 tff(15184,plain,
% 15.09/10.31 (v113(constB115) <=> (v114(constB115) | v125(constB115))),
% 15.09/10.31 inference(unit_resolution,[status(thm)],[15183, 588])).
% 15.09/10.31 tff(15185,plain,
% 15.09/10.31 (((~![VarCurr: $i] : (v125(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2)))))) | (v125(constB115) <=> (~((~v90(constB115, bitIndex2)) | (~v90(constB115, bitIndex1)) | v90(constB115, bitIndex0))))) <=> ((~![VarCurr: $i] : (v125(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2)))))) | (v125(constB115) <=> (~((~v90(constB115, bitIndex2)) | (~v90(constB115, bitIndex1)) | v90(constB115, bitIndex0)))))),
% 15.09/10.31 inference(rewrite,[status(thm)],[])).
% 15.09/10.31 tff(15186,plain,
% 15.09/10.31 ((v125(constB115) <=> (~(v90(constB115, bitIndex0) | (~v90(constB115, bitIndex1)) | (~v90(constB115, bitIndex2))))) <=> (v125(constB115) <=> (~((~v90(constB115, bitIndex2)) | (~v90(constB115, bitIndex1)) | v90(constB115, bitIndex0))))),
% 15.11/10.31 inference(rewrite,[status(thm)],[])).
% 15.11/10.31 tff(15187,plain,
% 15.11/10.31 (((~![VarCurr: $i] : (v125(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2)))))) | (v125(constB115) <=> (~(v90(constB115, bitIndex0) | (~v90(constB115, bitIndex1)) | (~v90(constB115, bitIndex2)))))) <=> ((~![VarCurr: $i] : (v125(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2)))))) | (v125(constB115) <=> (~((~v90(constB115, bitIndex2)) | (~v90(constB115, bitIndex1)) | v90(constB115, bitIndex0)))))),
% 15.11/10.31 inference(monotonicity,[status(thm)],[15186])).
% 15.11/10.31 tff(15188,plain,
% 15.11/10.31 (((~![VarCurr: $i] : (v125(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2)))))) | (v125(constB115) <=> (~(v90(constB115, bitIndex0) | (~v90(constB115, bitIndex1)) | (~v90(constB115, bitIndex2)))))) <=> ((~![VarCurr: $i] : (v125(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2)))))) | (v125(constB115) <=> (~((~v90(constB115, bitIndex2)) | (~v90(constB115, bitIndex1)) | v90(constB115, bitIndex0)))))),
% 15.11/10.31 inference(transitivity,[status(thm)],[15187, 15185])).
% 15.11/10.31 tff(15189,plain,
% 15.11/10.31 ((~![VarCurr: $i] : (v125(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2)))))) | (v125(constB115) <=> (~(v90(constB115, bitIndex0) | (~v90(constB115, bitIndex1)) | (~v90(constB115, bitIndex2)))))),
% 15.11/10.31 inference(quant_inst,[status(thm)],[])).
% 15.11/10.31 tff(15190,plain,
% 15.11/10.31 ((~![VarCurr: $i] : (v125(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2)))))) | (v125(constB115) <=> (~((~v90(constB115, bitIndex2)) | (~v90(constB115, bitIndex1)) | v90(constB115, bitIndex0))))),
% 15.11/10.31 inference(modus_ponens,[status(thm)],[15189, 15188])).
% 15.11/10.31 tff(15191,plain,
% 15.11/10.31 (v125(constB115) <=> (~((~v90(constB115, bitIndex2)) | (~v90(constB115, bitIndex1)) | v90(constB115, bitIndex0)))),
% 15.11/10.31 inference(unit_resolution,[status(thm)],[15190, 1066])).
% 15.11/10.31 tff(15192,plain,
% 15.11/10.31 (nextState(constB114, constB115) <=> nextState(constB114, constB115)),
% 15.11/10.31 inference(rewrite,[status(thm)],[])).
% 15.11/10.31 tff(15193,axiom,(nextState(constB114, constB115)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_114')).
% 15.11/10.31 tff(15194,plain,
% 15.11/10.31 (nextState(constB114, constB115)),
% 15.11/10.31 inference(modus_ponens,[status(thm)],[15193, 15192])).
% 15.11/10.31 tff(15195,plain,
% 15.11/10.31 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB114, constB115)) | (v100(constB115) <=> (~((~v101(constB115)) | (~v110(constB115))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB114, constB115)) | (v100(constB115) <=> (~((~v101(constB115)) | (~v110(constB115))))))),
% 15.11/10.31 inference(rewrite,[status(thm)],[])).
% 15.11/10.31 tff(15196,plain,
% 15.11/10.31 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB114, constB115)) | (v100(constB115) <=> (~((~v101(constB115)) | (~v110(constB115))))))),
% 15.11/10.31 inference(quant_inst,[status(thm)],[])).
% 15.11/10.31 tff(15197,plain,
% 15.11/10.31 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB114, constB115)) | (v100(constB115) <=> (~((~v101(constB115)) | (~v110(constB115)))))),
% 15.11/10.31 inference(modus_ponens,[status(thm)],[15196, 15195])).
% 15.11/10.31 tff(15198,plain,
% 15.11/10.31 (v100(constB115) <=> (~((~v101(constB115)) | (~v110(constB115))))),
% 15.11/10.31 inference(unit_resolution,[status(thm)],[15197, 15194, 430])).
% 15.11/10.31 tff(15199,plain,
% 15.11/10.31 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB114, constB115)) | (v101(constB115) <=> (~((~v1(constB115)) | (~v102(constB115))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB114, constB115)) | (v101(constB115) <=> (~((~v1(constB115)) | (~v102(constB115))))))),
% 15.11/10.31 inference(rewrite,[status(thm)],[])).
% 15.11/10.31 tff(15200,plain,
% 15.11/10.31 (((~nextState(constB114, constB115)) | (v101(constB115) <=> (~((~v102(constB115)) | (~v1(constB115)))))) <=> ((~nextState(constB114, constB115)) | (v101(constB115) <=> (~((~v1(constB115)) | (~v102(constB115))))))),
% 15.11/10.31 inference(rewrite,[status(thm)],[])).
% 15.11/10.31 tff(15201,plain,
% 15.11/10.31 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB114, constB115)) | (v101(constB115) <=> (~((~v102(constB115)) | (~v1(constB115))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB114, constB115)) | (v101(constB115) <=> (~((~v1(constB115)) | (~v102(constB115)))))))),
% 15.11/10.31 inference(monotonicity,[status(thm)],[15200])).
% 15.11/10.31 tff(15202,plain,
% 15.11/10.31 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB114, constB115)) | (v101(constB115) <=> (~((~v102(constB115)) | (~v1(constB115))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB114, constB115)) | (v101(constB115) <=> (~((~v1(constB115)) | (~v102(constB115))))))),
% 15.11/10.31 inference(transitivity,[status(thm)],[15201, 15199])).
% 15.11/10.31 tff(15203,plain,
% 15.11/10.31 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB114, constB115)) | (v101(constB115) <=> (~((~v102(constB115)) | (~v1(constB115))))))),
% 15.11/10.31 inference(quant_inst,[status(thm)],[])).
% 15.11/10.31 tff(15204,plain,
% 15.11/10.31 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB114, constB115)) | (v101(constB115) <=> (~((~v1(constB115)) | (~v102(constB115)))))),
% 15.11/10.31 inference(modus_ponens,[status(thm)],[15203, 15202])).
% 15.11/10.31 tff(15205,plain,
% 15.11/10.31 (v101(constB115) <=> (~((~v1(constB115)) | (~v102(constB115))))),
% 15.11/10.31 inference(unit_resolution,[status(thm)],[15204, 15194, 450])).
% 15.11/10.31 tff(15206,plain,
% 15.11/10.31 (((~v1(constB115)) | (~v102(constB115))) | v1(constB115)),
% 15.11/10.31 inference(tautology,[status(thm)],[])).
% 15.11/10.31 tff(15207,plain,
% 15.11/10.31 ((~v1(constB115)) | (~v102(constB115))),
% 15.11/10.31 inference(unit_resolution,[status(thm)],[15206, 15161])).
% 15.11/10.31 tff(15208,plain,
% 15.11/10.31 ((~(v101(constB115) <=> (~((~v1(constB115)) | (~v102(constB115)))))) | (~v101(constB115)) | (~((~v1(constB115)) | (~v102(constB115))))),
% 15.11/10.31 inference(tautology,[status(thm)],[])).
% 15.11/10.31 tff(15209,plain,
% 15.11/10.31 ((~(v101(constB115) <=> (~((~v1(constB115)) | (~v102(constB115)))))) | (~v101(constB115))),
% 15.11/10.31 inference(unit_resolution,[status(thm)],[15208, 15207])).
% 15.11/10.31 tff(15210,plain,
% 15.11/10.31 (~v101(constB115)),
% 15.11/10.31 inference(unit_resolution,[status(thm)],[15209, 15205])).
% 15.11/10.31 tff(15211,plain,
% 15.11/10.31 (((~v101(constB115)) | (~v110(constB115))) | v101(constB115)),
% 15.11/10.31 inference(tautology,[status(thm)],[])).
% 15.11/10.31 tff(15212,plain,
% 15.11/10.31 ((~v101(constB115)) | (~v110(constB115))),
% 15.11/10.31 inference(unit_resolution,[status(thm)],[15211, 15210])).
% 15.11/10.31 tff(15213,plain,
% 15.11/10.31 ((~(v100(constB115) <=> (~((~v101(constB115)) | (~v110(constB115)))))) | (~v100(constB115)) | (~((~v101(constB115)) | (~v110(constB115))))),
% 15.11/10.31 inference(tautology,[status(thm)],[])).
% 15.11/10.31 tff(15214,plain,
% 15.11/10.31 (~v100(constB115)),
% 15.11/10.31 inference(unit_resolution,[status(thm)],[15213, 15212, 15198])).
% 15.11/10.31 tff(15215,plain,
% 15.11/10.31 (((~![VarCurr: $i, VarNext: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v90(VarCurr, B))))) | (v100(constB115) | (~nextState(constB114, constB115)) | ![B: $i] : ((~less_3(B)) | (v90(constB115, B) <=> v90(constB114, B))))) <=> ((~![VarCurr: $i, VarNext: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v90(VarCurr, B))))) | v100(constB115) | (~nextState(constB114, constB115)) | ![B: $i] : ((~less_3(B)) | (v90(constB115, B) <=> v90(constB114, B))))),
% 15.11/10.31 inference(rewrite,[status(thm)],[])).
% 15.11/10.31 tff(15216,plain,
% 15.11/10.31 ((~![VarCurr: $i, VarNext: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v90(VarCurr, B))))) | (v100(constB115) | (~nextState(constB114, constB115)) | ![B: $i] : ((~less_3(B)) | (v90(constB115, B) <=> v90(constB114, B))))),
% 15.11/10.31 inference(quant_inst,[status(thm)],[])).
% 15.11/10.31 tff(15217,plain,
% 15.11/10.31 ((~![VarCurr: $i, VarNext: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v90(VarCurr, B))))) | v100(constB115) | (~nextState(constB114, constB115)) | ![B: $i] : ((~less_3(B)) | (v90(constB115, B) <=> v90(constB114, B)))),
% 15.11/10.31 inference(modus_ponens,[status(thm)],[15216, 15215])).
% 15.11/10.31 tff(15218,plain,
% 15.11/10.31 (v100(constB115) | ![B: $i] : ((~less_3(B)) | (v90(constB115, B) <=> v90(constB114, B)))),
% 15.11/10.31 inference(unit_resolution,[status(thm)],[15217, 15194, 479])).
% 15.11/10.31 tff(15219,plain,
% 15.11/10.31 (![B: $i] : ((~less_3(B)) | (v90(constB115, B) <=> v90(constB114, B)))),
% 15.11/10.31 inference(unit_resolution,[status(thm)],[15218, 15214])).
% 15.11/10.31 tff(15220,plain,
% 15.11/10.31 (((~![B: $i] : ((~less_3(B)) | (v90(constB115, B) <=> v90(constB114, B)))) | ((~less_3(bitIndex2)) | (v90(constB115, bitIndex2) <=> v90(constB114, bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v90(constB115, B) <=> v90(constB114, B)))) | (~less_3(bitIndex2)) | (v90(constB115, bitIndex2) <=> v90(constB114, bitIndex2)))),
% 15.11/10.31 inference(rewrite,[status(thm)],[])).
% 15.11/10.31 tff(15221,plain,
% 15.11/10.31 ((~![B: $i] : ((~less_3(B)) | (v90(constB115, B) <=> v90(constB114, B)))) | ((~less_3(bitIndex2)) | (v90(constB115, bitIndex2) <=> v90(constB114, bitIndex2)))),
% 15.11/10.31 inference(quant_inst,[status(thm)],[])).
% 15.11/10.31 tff(15222,plain,
% 15.11/10.31 ((~![B: $i] : ((~less_3(B)) | (v90(constB115, B) <=> v90(constB114, B)))) | (~less_3(bitIndex2)) | (v90(constB115, bitIndex2) <=> v90(constB114, bitIndex2))),
% 15.11/10.31 inference(modus_ponens,[status(thm)],[15221, 15220])).
% 15.11/10.31 tff(15223,plain,
% 15.11/10.31 (v90(constB115, bitIndex2) <=> v90(constB114, bitIndex2)),
% 15.11/10.31 inference(unit_resolution,[status(thm)],[15222, 413, 15219])).
% 15.11/10.31 tff(15224,plain,
% 15.11/10.31 (nextState(constB113, constB114) <=> nextState(constB113, constB114)),
% 15.11/10.31 inference(rewrite,[status(thm)],[])).
% 15.11/10.31 tff(15225,axiom,(nextState(constB113, constB114)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_113')).
% 15.11/10.31 tff(15226,plain,
% 15.11/10.31 (nextState(constB113, constB114)),
% 15.11/10.31 inference(modus_ponens,[status(thm)],[15225, 15224])).
% 15.11/10.31 tff(15227,plain,
% 15.11/10.31 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB113, constB114)) | (v100(constB114) <=> (~((~v101(constB114)) | (~v110(constB114))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB113, constB114)) | (v100(constB114) <=> (~((~v101(constB114)) | (~v110(constB114))))))),
% 15.11/10.31 inference(rewrite,[status(thm)],[])).
% 15.11/10.31 tff(15228,plain,
% 15.11/10.31 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB113, constB114)) | (v100(constB114) <=> (~((~v101(constB114)) | (~v110(constB114))))))),
% 15.11/10.31 inference(quant_inst,[status(thm)],[])).
% 15.11/10.31 tff(15229,plain,
% 15.11/10.31 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB113, constB114)) | (v100(constB114) <=> (~((~v101(constB114)) | (~v110(constB114)))))),
% 15.11/10.31 inference(modus_ponens,[status(thm)],[15228, 15227])).
% 15.11/10.31 tff(15230,plain,
% 15.11/10.31 (v100(constB114) <=> (~((~v101(constB114)) | (~v110(constB114))))),
% 15.11/10.31 inference(unit_resolution,[status(thm)],[15229, 15226, 430])).
% 15.11/10.31 tff(15231,plain,
% 15.11/10.31 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB113, constB114)) | (v101(constB114) <=> (~((~v1(constB114)) | (~v102(constB114))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB113, constB114)) | (v101(constB114) <=> (~((~v1(constB114)) | (~v102(constB114))))))),
% 15.11/10.32 inference(rewrite,[status(thm)],[])).
% 15.11/10.32 tff(15232,plain,
% 15.11/10.32 (((~nextState(constB113, constB114)) | (v101(constB114) <=> (~((~v102(constB114)) | (~v1(constB114)))))) <=> ((~nextState(constB113, constB114)) | (v101(constB114) <=> (~((~v1(constB114)) | (~v102(constB114))))))),
% 15.11/10.32 inference(rewrite,[status(thm)],[])).
% 15.11/10.32 tff(15233,plain,
% 15.11/10.32 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB113, constB114)) | (v101(constB114) <=> (~((~v102(constB114)) | (~v1(constB114))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB113, constB114)) | (v101(constB114) <=> (~((~v1(constB114)) | (~v102(constB114)))))))),
% 15.11/10.32 inference(monotonicity,[status(thm)],[15232])).
% 15.11/10.32 tff(15234,plain,
% 15.11/10.32 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB113, constB114)) | (v101(constB114) <=> (~((~v102(constB114)) | (~v1(constB114))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB113, constB114)) | (v101(constB114) <=> (~((~v1(constB114)) | (~v102(constB114))))))),
% 15.11/10.32 inference(transitivity,[status(thm)],[15233, 15231])).
% 15.11/10.32 tff(15235,plain,
% 15.11/10.32 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB113, constB114)) | (v101(constB114) <=> (~((~v102(constB114)) | (~v1(constB114))))))),
% 15.11/10.32 inference(quant_inst,[status(thm)],[])).
% 15.11/10.32 tff(15236,plain,
% 15.11/10.32 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB113, constB114)) | (v101(constB114) <=> (~((~v1(constB114)) | (~v102(constB114)))))),
% 15.11/10.32 inference(modus_ponens,[status(thm)],[15235, 15234])).
% 15.11/10.32 tff(15237,plain,
% 15.11/10.32 (v101(constB114) <=> (~((~v1(constB114)) | (~v102(constB114))))),
% 15.11/10.32 inference(unit_resolution,[status(thm)],[15236, 15226, 450])).
% 15.11/10.32 tff(15238,plain,
% 15.11/10.32 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | ((~nextState(constB113, constB114)) | ((~v102(constB114)) <=> v104(constB114)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | (~nextState(constB113, constB114)) | ((~v102(constB114)) <=> v104(constB114)))),
% 15.11/10.32 inference(rewrite,[status(thm)],[])).
% 15.11/10.32 tff(15239,plain,
% 15.11/10.32 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | ((~nextState(constB113, constB114)) | ((~v102(constB114)) <=> v104(constB114)))),
% 15.11/10.32 inference(quant_inst,[status(thm)],[])).
% 15.11/10.32 tff(15240,plain,
% 15.11/10.32 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | (~nextState(constB113, constB114)) | ((~v102(constB114)) <=> v104(constB114))),
% 15.11/10.32 inference(modus_ponens,[status(thm)],[15239, 15238])).
% 15.11/10.32 tff(15241,plain,
% 15.11/10.32 ((~v102(constB114)) <=> v104(constB114)),
% 15.11/10.32 inference(unit_resolution,[status(thm)],[15240, 15226, 512])).
% 15.11/10.32 tff(15242,plain,
% 15.11/10.32 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB113, constB114)) | (v104(constB114) <=> v1(constB113)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | (~nextState(constB113, constB114)) | (v104(constB114) <=> v1(constB113)))),
% 15.11/10.32 inference(rewrite,[status(thm)],[])).
% 15.11/10.32 tff(15243,plain,
% 15.11/10.32 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB113, constB114)) | (v104(constB114) <=> v1(constB113)))),
% 15.11/10.32 inference(quant_inst,[status(thm)],[])).
% 15.11/10.32 tff(15244,plain,
% 15.11/10.32 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | (~nextState(constB113, constB114)) | (v104(constB114) <=> v1(constB113))),
% 15.11/10.32 inference(modus_ponens,[status(thm)],[15243, 15242])).
% 15.11/10.32 tff(15245,plain,
% 15.11/10.32 (v104(constB114) <=> v1(constB113)),
% 15.11/10.32 inference(unit_resolution,[status(thm)],[15244, 15226, 526])).
% 15.11/10.32 tff(15246,plain,
% 15.11/10.32 ((~v1(constB113)) <=> (~v1(constB113))),
% 15.11/10.32 inference(rewrite,[status(thm)],[])).
% 15.11/10.32 tff(15247,axiom,(~v1(constB113)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_113')).
% 15.11/10.32 tff(15248,plain,
% 15.11/10.32 (~v1(constB113)),
% 15.11/10.32 inference(modus_ponens,[status(thm)],[15247, 15246])).
% 15.11/10.32 tff(15249,plain,
% 15.11/10.32 ((~(v104(constB114) <=> v1(constB113))) | (~v104(constB114)) | v1(constB113)),
% 15.11/10.32 inference(tautology,[status(thm)],[])).
% 15.11/10.32 tff(15250,plain,
% 15.11/10.32 ((~(v104(constB114) <=> v1(constB113))) | (~v104(constB114))),
% 15.11/10.32 inference(unit_resolution,[status(thm)],[15249, 15248])).
% 15.11/10.32 tff(15251,plain,
% 15.11/10.32 (~v104(constB114)),
% 15.11/10.32 inference(unit_resolution,[status(thm)],[15250, 15245])).
% 15.11/10.32 tff(15252,plain,
% 15.11/10.32 ((~((~v102(constB114)) <=> v104(constB114))) | v102(constB114) | v104(constB114)),
% 15.11/10.32 inference(tautology,[status(thm)],[])).
% 15.11/10.32 tff(15253,plain,
% 15.11/10.32 (v102(constB114)),
% 15.11/10.32 inference(unit_resolution,[status(thm)],[15252, 15251, 15241])).
% 15.11/10.32 tff(15254,plain,
% 15.11/10.32 (v1(constB114) <=> v1(constB114)),
% 15.11/10.32 inference(rewrite,[status(thm)],[])).
% 15.11/10.32 tff(15255,axiom,(v1(constB114)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_114')).
% 15.11/10.32 tff(15256,plain,
% 15.11/10.32 (v1(constB114)),
% 15.11/10.32 inference(modus_ponens,[status(thm)],[15255, 15254])).
% 15.11/10.32 tff(15257,plain,
% 15.11/10.32 ((~((~v1(constB114)) | (~v102(constB114)))) | (~v1(constB114)) | (~v102(constB114))),
% 15.11/10.32 inference(tautology,[status(thm)],[])).
% 15.11/10.32 tff(15258,plain,
% 15.11/10.32 ((~((~v1(constB114)) | (~v102(constB114)))) | (~v102(constB114))),
% 15.11/10.32 inference(unit_resolution,[status(thm)],[15257, 15256])).
% 15.11/10.32 tff(15259,plain,
% 15.11/10.32 (~((~v1(constB114)) | (~v102(constB114)))),
% 15.11/10.32 inference(unit_resolution,[status(thm)],[15258, 15253])).
% 15.11/10.32 tff(15260,plain,
% 15.11/10.32 ((~(v101(constB114) <=> (~((~v1(constB114)) | (~v102(constB114)))))) | v101(constB114) | ((~v1(constB114)) | (~v102(constB114)))),
% 15.11/10.32 inference(tautology,[status(thm)],[])).
% 15.11/10.32 tff(15261,plain,
% 15.11/10.32 (v101(constB114)),
% 15.11/10.32 inference(unit_resolution,[status(thm)],[15260, 15259, 15237])).
% 15.11/10.32 tff(15262,plain,
% 15.11/10.32 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | ((~nextState(constB113, constB114)) | (v110(constB114) <=> v108(constB113)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | (~nextState(constB113, constB114)) | (v110(constB114) <=> v108(constB113)))),
% 15.11/10.32 inference(rewrite,[status(thm)],[])).
% 15.11/10.32 tff(15263,plain,
% 15.11/10.32 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | ((~nextState(constB113, constB114)) | (v110(constB114) <=> v108(constB113)))),
% 15.11/10.32 inference(quant_inst,[status(thm)],[])).
% 15.11/10.32 tff(15264,plain,
% 15.11/10.32 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | (~nextState(constB113, constB114)) | (v110(constB114) <=> v108(constB113))),
% 15.11/10.32 inference(modus_ponens,[status(thm)],[15263, 15262])).
% 15.11/10.32 tff(15265,plain,
% 15.11/10.32 (v110(constB114) <=> v108(constB113)),
% 15.11/10.32 inference(unit_resolution,[status(thm)],[15264, 15226, 556])).
% 15.11/10.32 tff(15266,plain,
% 15.11/10.32 ((~![VarCurr: $i] : (v108(VarCurr) <=> (v111(VarCurr) | v112(VarCurr)))) | (v108(constB113) <=> (v111(constB113) | v112(constB113)))),
% 15.11/10.32 inference(quant_inst,[status(thm)],[])).
% 15.11/10.32 tff(15267,plain,
% 15.11/10.32 (v108(constB113) <=> (v111(constB113) | v112(constB113))),
% 15.11/10.32 inference(unit_resolution,[status(thm)],[15266, 567])).
% 15.11/10.32 tff(15268,plain,
% 15.11/10.32 ((~![VarCurr: $i] : (v112(VarCurr) <=> (~((~v113(VarCurr)) | (~v126(VarCurr)))))) | (v112(constB113) <=> (~((~v113(constB113)) | (~v126(constB113)))))),
% 15.11/10.32 inference(quant_inst,[status(thm)],[])).
% 15.11/10.32 tff(15269,plain,
% 15.11/10.32 (v112(constB113) <=> (~((~v113(constB113)) | (~v126(constB113))))),
% 15.11/10.32 inference(unit_resolution,[status(thm)],[15268, 579])).
% 15.11/10.32 tff(15270,plain,
% 15.11/10.32 ((~![VarCurr: $i] : (v113(VarCurr) <=> (v114(VarCurr) | v125(VarCurr)))) | (v113(constB113) <=> (v114(constB113) | v125(constB113)))),
% 15.11/10.32 inference(quant_inst,[status(thm)],[])).
% 15.11/10.32 tff(15271,plain,
% 15.11/10.32 (v113(constB113) <=> (v114(constB113) | v125(constB113))),
% 15.11/10.32 inference(unit_resolution,[status(thm)],[15270, 588])).
% 15.11/10.32 tff(15272,plain,
% 15.11/10.32 ((~![VarCurr: $i] : (v114(VarCurr) <=> (v115(VarCurr) | v124(VarCurr)))) | (v114(constB113) <=> (v115(constB113) | v124(constB113)))),
% 15.11/10.32 inference(quant_inst,[status(thm)],[])).
% 15.11/10.32 tff(15273,plain,
% 15.11/10.32 (v114(constB113) <=> (v115(constB113) | v124(constB113))),
% 15.11/10.32 inference(unit_resolution,[status(thm)],[15272, 597])).
% 15.11/10.32 tff(15274,plain,
% 15.11/10.32 ((~![VarCurr: $i] : (v115(VarCurr) <=> (v116(VarCurr) | v123(VarCurr)))) | (v115(constB113) <=> (v116(constB113) | v123(constB113)))),
% 15.11/10.32 inference(quant_inst,[status(thm)],[])).
% 15.11/10.32 tff(15275,plain,
% 15.11/10.32 (v115(constB113) <=> (v116(constB113) | v123(constB113))),
% 15.11/10.32 inference(unit_resolution,[status(thm)],[15274, 606])).
% 15.11/10.32 tff(15276,plain,
% 15.11/10.32 (((~![VarCurr: $i] : (v123(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)))))) | (v123(constB113) <=> (~((~v90(constB113, bitIndex2)) | v90(constB113, bitIndex1) | v90(constB113, bitIndex0))))) <=> ((~![VarCurr: $i] : (v123(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)))))) | (v123(constB113) <=> (~((~v90(constB113, bitIndex2)) | v90(constB113, bitIndex1) | v90(constB113, bitIndex0)))))),
% 15.11/10.32 inference(rewrite,[status(thm)],[])).
% 15.11/10.32 tff(15277,plain,
% 15.11/10.32 ((v123(constB113) <=> (~(v90(constB113, bitIndex0) | v90(constB113, bitIndex1) | (~v90(constB113, bitIndex2))))) <=> (v123(constB113) <=> (~((~v90(constB113, bitIndex2)) | v90(constB113, bitIndex1) | v90(constB113, bitIndex0))))),
% 15.11/10.32 inference(rewrite,[status(thm)],[])).
% 15.11/10.32 tff(15278,plain,
% 15.11/10.32 (((~![VarCurr: $i] : (v123(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)))))) | (v123(constB113) <=> (~(v90(constB113, bitIndex0) | v90(constB113, bitIndex1) | (~v90(constB113, bitIndex2)))))) <=> ((~![VarCurr: $i] : (v123(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)))))) | (v123(constB113) <=> (~((~v90(constB113, bitIndex2)) | v90(constB113, bitIndex1) | v90(constB113, bitIndex0)))))),
% 15.11/10.32 inference(monotonicity,[status(thm)],[15277])).
% 15.11/10.32 tff(15279,plain,
% 15.11/10.32 (((~![VarCurr: $i] : (v123(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)))))) | (v123(constB113) <=> (~(v90(constB113, bitIndex0) | v90(constB113, bitIndex1) | (~v90(constB113, bitIndex2)))))) <=> ((~![VarCurr: $i] : (v123(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)))))) | (v123(constB113) <=> (~((~v90(constB113, bitIndex2)) | v90(constB113, bitIndex1) | v90(constB113, bitIndex0)))))),
% 15.11/10.32 inference(transitivity,[status(thm)],[15278, 15276])).
% 15.11/10.32 tff(15280,plain,
% 15.11/10.32 ((~![VarCurr: $i] : (v123(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)))))) | (v123(constB113) <=> (~(v90(constB113, bitIndex0) | v90(constB113, bitIndex1) | (~v90(constB113, bitIndex2)))))),
% 15.11/10.32 inference(quant_inst,[status(thm)],[])).
% 15.11/10.32 tff(15281,plain,
% 15.11/10.32 ((~![VarCurr: $i] : (v123(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)))))) | (v123(constB113) <=> (~((~v90(constB113, bitIndex2)) | v90(constB113, bitIndex1) | v90(constB113, bitIndex0))))),
% 15.11/10.32 inference(modus_ponens,[status(thm)],[15280, 15279])).
% 15.11/10.32 tff(15282,plain,
% 15.11/10.32 (v123(constB113) <=> (~((~v90(constB113, bitIndex2)) | v90(constB113, bitIndex1) | v90(constB113, bitIndex0)))),
% 15.11/10.32 inference(unit_resolution,[status(thm)],[15281, 621])).
% 15.11/10.32 tff(15283,plain,
% 15.11/10.32 (nextState(constB112, constB113) <=> nextState(constB112, constB113)),
% 15.11/10.32 inference(rewrite,[status(thm)],[])).
% 15.11/10.32 tff(15284,axiom,(nextState(constB112, constB113)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_112')).
% 15.11/10.32 tff(15285,plain,
% 15.11/10.32 (nextState(constB112, constB113)),
% 15.11/10.32 inference(modus_ponens,[status(thm)],[15284, 15283])).
% 15.11/10.32 tff(15286,plain,
% 15.11/10.32 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB112, constB113)) | (v100(constB113) <=> (~((~v101(constB113)) | (~v110(constB113))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB112, constB113)) | (v100(constB113) <=> (~((~v101(constB113)) | (~v110(constB113))))))),
% 15.11/10.32 inference(rewrite,[status(thm)],[])).
% 15.11/10.32 tff(15287,plain,
% 15.11/10.32 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB112, constB113)) | (v100(constB113) <=> (~((~v101(constB113)) | (~v110(constB113))))))),
% 15.11/10.32 inference(quant_inst,[status(thm)],[])).
% 15.11/10.32 tff(15288,plain,
% 15.11/10.32 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB112, constB113)) | (v100(constB113) <=> (~((~v101(constB113)) | (~v110(constB113)))))),
% 15.11/10.32 inference(modus_ponens,[status(thm)],[15287, 15286])).
% 15.11/10.32 tff(15289,plain,
% 15.11/10.32 (v100(constB113) <=> (~((~v101(constB113)) | (~v110(constB113))))),
% 15.11/10.32 inference(unit_resolution,[status(thm)],[15288, 15285, 430])).
% 15.11/10.32 tff(15290,plain,
% 15.11/10.32 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB112, constB113)) | (v101(constB113) <=> (~((~v1(constB113)) | (~v102(constB113))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB112, constB113)) | (v101(constB113) <=> (~((~v1(constB113)) | (~v102(constB113))))))),
% 15.11/10.32 inference(rewrite,[status(thm)],[])).
% 15.11/10.32 tff(15291,plain,
% 15.11/10.32 (((~nextState(constB112, constB113)) | (v101(constB113) <=> (~((~v102(constB113)) | (~v1(constB113)))))) <=> ((~nextState(constB112, constB113)) | (v101(constB113) <=> (~((~v1(constB113)) | (~v102(constB113))))))),
% 15.11/10.32 inference(rewrite,[status(thm)],[])).
% 15.11/10.32 tff(15292,plain,
% 15.11/10.32 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB112, constB113)) | (v101(constB113) <=> (~((~v102(constB113)) | (~v1(constB113))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB112, constB113)) | (v101(constB113) <=> (~((~v1(constB113)) | (~v102(constB113)))))))),
% 15.11/10.32 inference(monotonicity,[status(thm)],[15291])).
% 15.11/10.32 tff(15293,plain,
% 15.11/10.32 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB112, constB113)) | (v101(constB113) <=> (~((~v102(constB113)) | (~v1(constB113))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB112, constB113)) | (v101(constB113) <=> (~((~v1(constB113)) | (~v102(constB113))))))),
% 15.11/10.32 inference(transitivity,[status(thm)],[15292, 15290])).
% 15.11/10.32 tff(15294,plain,
% 15.11/10.32 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB112, constB113)) | (v101(constB113) <=> (~((~v102(constB113)) | (~v1(constB113))))))),
% 15.11/10.32 inference(quant_inst,[status(thm)],[])).
% 15.11/10.32 tff(15295,plain,
% 15.11/10.32 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB112, constB113)) | (v101(constB113) <=> (~((~v1(constB113)) | (~v102(constB113)))))),
% 15.11/10.32 inference(modus_ponens,[status(thm)],[15294, 15293])).
% 15.11/10.32 tff(15296,plain,
% 15.11/10.32 (v101(constB113) <=> (~((~v1(constB113)) | (~v102(constB113))))),
% 15.11/10.32 inference(unit_resolution,[status(thm)],[15295, 15285, 450])).
% 15.11/10.32 tff(15297,plain,
% 15.11/10.32 (((~v1(constB113)) | (~v102(constB113))) | v1(constB113)),
% 15.11/10.32 inference(tautology,[status(thm)],[])).
% 15.11/10.32 tff(15298,plain,
% 15.11/10.32 ((~v1(constB113)) | (~v102(constB113))),
% 15.11/10.32 inference(unit_resolution,[status(thm)],[15297, 15248])).
% 15.11/10.32 tff(15299,plain,
% 15.11/10.32 ((~(v101(constB113) <=> (~((~v1(constB113)) | (~v102(constB113)))))) | (~v101(constB113)) | (~((~v1(constB113)) | (~v102(constB113))))),
% 15.11/10.32 inference(tautology,[status(thm)],[])).
% 15.11/10.32 tff(15300,plain,
% 15.11/10.32 ((~(v101(constB113) <=> (~((~v1(constB113)) | (~v102(constB113)))))) | (~v101(constB113))),
% 15.11/10.32 inference(unit_resolution,[status(thm)],[15299, 15298])).
% 15.11/10.32 tff(15301,plain,
% 15.11/10.32 (~v101(constB113)),
% 15.11/10.32 inference(unit_resolution,[status(thm)],[15300, 15296])).
% 15.11/10.32 tff(15302,plain,
% 15.11/10.32 (((~v101(constB113)) | (~v110(constB113))) | v101(constB113)),
% 15.11/10.32 inference(tautology,[status(thm)],[])).
% 15.11/10.32 tff(15303,plain,
% 15.11/10.32 ((~v101(constB113)) | (~v110(constB113))),
% 15.11/10.32 inference(unit_resolution,[status(thm)],[15302, 15301])).
% 15.11/10.32 tff(15304,plain,
% 15.11/10.32 ((~(v100(constB113) <=> (~((~v101(constB113)) | (~v110(constB113)))))) | (~v100(constB113)) | (~((~v101(constB113)) | (~v110(constB113))))),
% 15.11/10.32 inference(tautology,[status(thm)],[])).
% 15.11/10.32 tff(15305,plain,
% 15.11/10.32 (~v100(constB113)),
% 15.11/10.32 inference(unit_resolution,[status(thm)],[15304, 15303, 15289])).
% 15.11/10.32 tff(15306,plain,
% 15.11/10.32 (((~![VarCurr: $i, VarNext: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v90(VarCurr, B))))) | (v100(constB113) | (~nextState(constB112, constB113)) | ![B: $i] : ((~less_3(B)) | (v90(constB113, B) <=> v90(constB112, B))))) <=> ((~![VarCurr: $i, VarNext: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v90(VarCurr, B))))) | v100(constB113) | (~nextState(constB112, constB113)) | ![B: $i] : ((~less_3(B)) | (v90(constB113, B) <=> v90(constB112, B))))),
% 15.11/10.32 inference(rewrite,[status(thm)],[])).
% 15.11/10.32 tff(15307,plain,
% 15.11/10.32 ((~![VarCurr: $i, VarNext: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v90(VarCurr, B))))) | (v100(constB113) | (~nextState(constB112, constB113)) | ![B: $i] : ((~less_3(B)) | (v90(constB113, B) <=> v90(constB112, B))))),
% 15.11/10.32 inference(quant_inst,[status(thm)],[])).
% 15.11/10.32 tff(15308,plain,
% 15.11/10.32 ((~![VarCurr: $i, VarNext: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v90(VarCurr, B))))) | v100(constB113) | (~nextState(constB112, constB113)) | ![B: $i] : ((~less_3(B)) | (v90(constB113, B) <=> v90(constB112, B)))),
% 15.11/10.32 inference(modus_ponens,[status(thm)],[15307, 15306])).
% 15.11/10.32 tff(15309,plain,
% 15.11/10.32 (v100(constB113) | ![B: $i] : ((~less_3(B)) | (v90(constB113, B) <=> v90(constB112, B)))),
% 15.11/10.32 inference(unit_resolution,[status(thm)],[15308, 15285, 479])).
% 15.11/10.32 tff(15310,plain,
% 15.11/10.32 (![B: $i] : ((~less_3(B)) | (v90(constB113, B) <=> v90(constB112, B)))),
% 15.11/10.32 inference(unit_resolution,[status(thm)],[15309, 15305])).
% 15.11/10.32 tff(15311,plain,
% 15.11/10.32 (((~![B: $i] : ((~less_3(B)) | (v90(constB113, B) <=> v90(constB112, B)))) | ((~less_3(bitIndex2)) | (v90(constB113, bitIndex2) <=> v90(constB112, bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v90(constB113, B) <=> v90(constB112, B)))) | (~less_3(bitIndex2)) | (v90(constB113, bitIndex2) <=> v90(constB112, bitIndex2)))),
% 15.11/10.32 inference(rewrite,[status(thm)],[])).
% 15.11/10.32 tff(15312,plain,
% 15.11/10.32 ((~![B: $i] : ((~less_3(B)) | (v90(constB113, B) <=> v90(constB112, B)))) | ((~less_3(bitIndex2)) | (v90(constB113, bitIndex2) <=> v90(constB112, bitIndex2)))),
% 15.11/10.32 inference(quant_inst,[status(thm)],[])).
% 15.11/10.32 tff(15313,plain,
% 15.11/10.32 ((~![B: $i] : ((~less_3(B)) | (v90(constB113, B) <=> v90(constB112, B)))) | (~less_3(bitIndex2)) | (v90(constB113, bitIndex2) <=> v90(constB112, bitIndex2))),
% 15.11/10.32 inference(modus_ponens,[status(thm)],[15312, 15311])).
% 15.11/10.32 tff(15314,plain,
% 15.11/10.32 (v90(constB113, bitIndex2) <=> v90(constB112, bitIndex2)),
% 15.11/10.32 inference(unit_resolution,[status(thm)],[15313, 413, 15310])).
% 15.11/10.32 tff(15315,plain,
% 15.11/10.32 (nextState(constB111, constB112) <=> nextState(constB111, constB112)),
% 15.11/10.32 inference(rewrite,[status(thm)],[])).
% 15.11/10.32 tff(15316,axiom,(nextState(constB111, constB112)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_111')).
% 15.11/10.32 tff(15317,plain,
% 15.11/10.32 (nextState(constB111, constB112)),
% 15.11/10.32 inference(modus_ponens,[status(thm)],[15316, 15315])).
% 15.11/10.32 tff(15318,plain,
% 15.11/10.32 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB111, constB112)) | (v100(constB112) <=> (~((~v101(constB112)) | (~v110(constB112))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB111, constB112)) | (v100(constB112) <=> (~((~v101(constB112)) | (~v110(constB112))))))),
% 15.11/10.32 inference(rewrite,[status(thm)],[])).
% 15.11/10.32 tff(15319,plain,
% 15.11/10.32 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB111, constB112)) | (v100(constB112) <=> (~((~v101(constB112)) | (~v110(constB112))))))),
% 15.11/10.32 inference(quant_inst,[status(thm)],[])).
% 15.11/10.32 tff(15320,plain,
% 15.11/10.32 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB111, constB112)) | (v100(constB112) <=> (~((~v101(constB112)) | (~v110(constB112)))))),
% 15.11/10.32 inference(modus_ponens,[status(thm)],[15319, 15318])).
% 15.11/10.32 tff(15321,plain,
% 15.11/10.32 (v100(constB112) <=> (~((~v101(constB112)) | (~v110(constB112))))),
% 15.11/10.32 inference(unit_resolution,[status(thm)],[15320, 15317, 430])).
% 15.11/10.32 tff(15322,plain,
% 15.11/10.32 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB111, constB112)) | (v101(constB112) <=> (~((~v1(constB112)) | (~v102(constB112))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB111, constB112)) | (v101(constB112) <=> (~((~v1(constB112)) | (~v102(constB112))))))),
% 15.11/10.32 inference(rewrite,[status(thm)],[])).
% 15.11/10.32 tff(15323,plain,
% 15.11/10.32 (((~nextState(constB111, constB112)) | (v101(constB112) <=> (~((~v102(constB112)) | (~v1(constB112)))))) <=> ((~nextState(constB111, constB112)) | (v101(constB112) <=> (~((~v1(constB112)) | (~v102(constB112))))))),
% 15.11/10.32 inference(rewrite,[status(thm)],[])).
% 15.11/10.32 tff(15324,plain,
% 15.11/10.32 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB111, constB112)) | (v101(constB112) <=> (~((~v102(constB112)) | (~v1(constB112))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB111, constB112)) | (v101(constB112) <=> (~((~v1(constB112)) | (~v102(constB112)))))))),
% 15.11/10.32 inference(monotonicity,[status(thm)],[15323])).
% 15.11/10.32 tff(15325,plain,
% 15.11/10.32 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB111, constB112)) | (v101(constB112) <=> (~((~v102(constB112)) | (~v1(constB112))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB111, constB112)) | (v101(constB112) <=> (~((~v1(constB112)) | (~v102(constB112))))))),
% 15.11/10.32 inference(transitivity,[status(thm)],[15324, 15322])).
% 15.11/10.32 tff(15326,plain,
% 15.11/10.32 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB111, constB112)) | (v101(constB112) <=> (~((~v102(constB112)) | (~v1(constB112))))))),
% 15.11/10.32 inference(quant_inst,[status(thm)],[])).
% 15.11/10.32 tff(15327,plain,
% 15.11/10.32 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB111, constB112)) | (v101(constB112) <=> (~((~v1(constB112)) | (~v102(constB112)))))),
% 15.11/10.32 inference(modus_ponens,[status(thm)],[15326, 15325])).
% 15.11/10.32 tff(15328,plain,
% 15.11/10.32 (v101(constB112) <=> (~((~v1(constB112)) | (~v102(constB112))))),
% 15.11/10.32 inference(unit_resolution,[status(thm)],[15327, 15317, 450])).
% 15.11/10.32 tff(15329,plain,
% 15.11/10.32 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | ((~nextState(constB111, constB112)) | ((~v102(constB112)) <=> v104(constB112)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | (~nextState(constB111, constB112)) | ((~v102(constB112)) <=> v104(constB112)))),
% 15.11/10.32 inference(rewrite,[status(thm)],[])).
% 15.11/10.32 tff(15330,plain,
% 15.11/10.32 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | ((~nextState(constB111, constB112)) | ((~v102(constB112)) <=> v104(constB112)))),
% 15.11/10.32 inference(quant_inst,[status(thm)],[])).
% 15.11/10.32 tff(15331,plain,
% 15.11/10.32 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | (~nextState(constB111, constB112)) | ((~v102(constB112)) <=> v104(constB112))),
% 15.11/10.32 inference(modus_ponens,[status(thm)],[15330, 15329])).
% 15.11/10.32 tff(15332,plain,
% 15.11/10.32 ((~v102(constB112)) <=> v104(constB112)),
% 15.11/10.32 inference(unit_resolution,[status(thm)],[15331, 15317, 512])).
% 15.11/10.32 tff(15333,plain,
% 15.11/10.32 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB111, constB112)) | (v104(constB112) <=> v1(constB111)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | (~nextState(constB111, constB112)) | (v104(constB112) <=> v1(constB111)))),
% 15.11/10.32 inference(rewrite,[status(thm)],[])).
% 15.11/10.32 tff(15334,plain,
% 15.11/10.32 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB111, constB112)) | (v104(constB112) <=> v1(constB111)))),
% 15.11/10.32 inference(quant_inst,[status(thm)],[])).
% 15.11/10.32 tff(15335,plain,
% 15.11/10.32 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | (~nextState(constB111, constB112)) | (v104(constB112) <=> v1(constB111))),
% 15.11/10.32 inference(modus_ponens,[status(thm)],[15334, 15333])).
% 15.11/10.32 tff(15336,plain,
% 15.11/10.32 (v104(constB112) <=> v1(constB111)),
% 15.11/10.32 inference(unit_resolution,[status(thm)],[15335, 15317, 526])).
% 15.11/10.32 tff(15337,plain,
% 15.11/10.32 ((~v1(constB111)) <=> (~v1(constB111))),
% 15.11/10.32 inference(rewrite,[status(thm)],[])).
% 15.11/10.32 tff(15338,axiom,(~v1(constB111)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_111')).
% 15.11/10.32 tff(15339,plain,
% 15.11/10.32 (~v1(constB111)),
% 15.11/10.32 inference(modus_ponens,[status(thm)],[15338, 15337])).
% 15.11/10.32 tff(15340,plain,
% 15.11/10.32 ((~(v104(constB112) <=> v1(constB111))) | (~v104(constB112)) | v1(constB111)),
% 15.11/10.32 inference(tautology,[status(thm)],[])).
% 15.11/10.32 tff(15341,plain,
% 15.11/10.32 ((~(v104(constB112) <=> v1(constB111))) | (~v104(constB112))),
% 15.11/10.32 inference(unit_resolution,[status(thm)],[15340, 15339])).
% 15.11/10.32 tff(15342,plain,
% 15.11/10.32 (~v104(constB112)),
% 15.11/10.32 inference(unit_resolution,[status(thm)],[15341, 15336])).
% 15.11/10.32 tff(15343,plain,
% 15.11/10.32 ((~((~v102(constB112)) <=> v104(constB112))) | v102(constB112) | v104(constB112)),
% 15.11/10.32 inference(tautology,[status(thm)],[])).
% 15.11/10.32 tff(15344,plain,
% 15.11/10.32 (v102(constB112)),
% 15.11/10.32 inference(unit_resolution,[status(thm)],[15343, 15342, 15332])).
% 15.11/10.32 tff(15345,plain,
% 15.11/10.32 (v1(constB112) <=> v1(constB112)),
% 15.11/10.32 inference(rewrite,[status(thm)],[])).
% 15.11/10.32 tff(15346,axiom,(v1(constB112)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_112')).
% 15.11/10.32 tff(15347,plain,
% 15.11/10.32 (v1(constB112)),
% 15.11/10.32 inference(modus_ponens,[status(thm)],[15346, 15345])).
% 15.11/10.32 tff(15348,plain,
% 15.11/10.32 ((~((~v1(constB112)) | (~v102(constB112)))) | (~v1(constB112)) | (~v102(constB112))),
% 15.11/10.32 inference(tautology,[status(thm)],[])).
% 15.11/10.32 tff(15349,plain,
% 15.11/10.32 ((~((~v1(constB112)) | (~v102(constB112)))) | (~v102(constB112))),
% 15.11/10.32 inference(unit_resolution,[status(thm)],[15348, 15347])).
% 15.11/10.32 tff(15350,plain,
% 15.11/10.32 (~((~v1(constB112)) | (~v102(constB112)))),
% 15.11/10.32 inference(unit_resolution,[status(thm)],[15349, 15344])).
% 15.11/10.32 tff(15351,plain,
% 15.11/10.32 ((~(v101(constB112) <=> (~((~v1(constB112)) | (~v102(constB112)))))) | v101(constB112) | ((~v1(constB112)) | (~v102(constB112)))),
% 15.11/10.32 inference(tautology,[status(thm)],[])).
% 15.11/10.32 tff(15352,plain,
% 15.11/10.32 (v101(constB112)),
% 15.11/10.32 inference(unit_resolution,[status(thm)],[15351, 15350, 15328])).
% 15.11/10.32 tff(15353,plain,
% 15.11/10.32 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | ((~nextState(constB111, constB112)) | (v110(constB112) <=> v108(constB111)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | (~nextState(constB111, constB112)) | (v110(constB112) <=> v108(constB111)))),
% 15.11/10.32 inference(rewrite,[status(thm)],[])).
% 15.11/10.32 tff(15354,plain,
% 15.11/10.32 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | ((~nextState(constB111, constB112)) | (v110(constB112) <=> v108(constB111)))),
% 15.11/10.32 inference(quant_inst,[status(thm)],[])).
% 15.11/10.32 tff(15355,plain,
% 15.11/10.32 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | (~nextState(constB111, constB112)) | (v110(constB112) <=> v108(constB111))),
% 15.11/10.32 inference(modus_ponens,[status(thm)],[15354, 15353])).
% 15.11/10.32 tff(15356,plain,
% 15.11/10.32 (v110(constB112) <=> v108(constB111)),
% 15.11/10.32 inference(unit_resolution,[status(thm)],[15355, 15317, 556])).
% 15.11/10.32 tff(15357,plain,
% 15.11/10.32 ((~![VarCurr: $i] : (v108(VarCurr) <=> (v111(VarCurr) | v112(VarCurr)))) | (v108(constB111) <=> (v111(constB111) | v112(constB111)))),
% 15.11/10.32 inference(quant_inst,[status(thm)],[])).
% 15.11/10.32 tff(15358,plain,
% 15.11/10.32 (v108(constB111) <=> (v111(constB111) | v112(constB111))),
% 15.11/10.32 inference(unit_resolution,[status(thm)],[15357, 567])).
% 15.11/10.32 tff(15359,plain,
% 15.11/10.32 ((~![VarCurr: $i] : (v112(VarCurr) <=> (~((~v113(VarCurr)) | (~v126(VarCurr)))))) | (v112(constB111) <=> (~((~v113(constB111)) | (~v126(constB111)))))),
% 15.11/10.32 inference(quant_inst,[status(thm)],[])).
% 15.11/10.32 tff(15360,plain,
% 15.11/10.32 (v112(constB111) <=> (~((~v113(constB111)) | (~v126(constB111))))),
% 15.11/10.32 inference(unit_resolution,[status(thm)],[15359, 579])).
% 15.11/10.32 tff(15361,plain,
% 15.11/10.32 ((~![VarCurr: $i] : (v113(VarCurr) <=> (v114(VarCurr) | v125(VarCurr)))) | (v113(constB111) <=> (v114(constB111) | v125(constB111)))),
% 15.11/10.32 inference(quant_inst,[status(thm)],[])).
% 15.11/10.32 tff(15362,plain,
% 15.11/10.32 (v113(constB111) <=> (v114(constB111) | v125(constB111))),
% 15.11/10.32 inference(unit_resolution,[status(thm)],[15361, 588])).
% 15.11/10.32 tff(15363,plain,
% 15.11/10.32 ((~![VarCurr: $i] : (v114(VarCurr) <=> (v115(VarCurr) | v124(VarCurr)))) | (v114(constB111) <=> (v115(constB111) | v124(constB111)))),
% 15.11/10.32 inference(quant_inst,[status(thm)],[])).
% 15.11/10.32 tff(15364,plain,
% 15.11/10.32 (v114(constB111) <=> (v115(constB111) | v124(constB111))),
% 15.11/10.32 inference(unit_resolution,[status(thm)],[15363, 597])).
% 15.11/10.32 tff(15365,plain,
% 15.11/10.32 ((~![VarCurr: $i] : (v115(VarCurr) <=> (v116(VarCurr) | v123(VarCurr)))) | (v115(constB111) <=> (v116(constB111) | v123(constB111)))),
% 15.11/10.32 inference(quant_inst,[status(thm)],[])).
% 15.11/10.32 tff(15366,plain,
% 15.11/10.32 (v115(constB111) <=> (v116(constB111) | v123(constB111))),
% 15.11/10.32 inference(unit_resolution,[status(thm)],[15365, 606])).
% 15.11/10.32 tff(15367,plain,
% 15.11/10.32 ((~![VarCurr: $i] : (v116(VarCurr) <=> (v117(VarCurr) | v122(VarCurr)))) | (v116(constB111) <=> (v117(constB111) | v122(constB111)))),
% 15.11/10.32 inference(quant_inst,[status(thm)],[])).
% 15.11/10.32 tff(15368,plain,
% 15.11/10.32 (v116(constB111) <=> (v117(constB111) | v122(constB111))),
% 15.11/10.32 inference(unit_resolution,[status(thm)],[15367, 719])).
% 15.11/10.32 tff(15369,plain,
% 15.11/10.32 (((~![VarCurr: $i] : (v122(VarCurr) <=> (~(v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)))))) | (v122(constB111) <=> (~(v90(constB111, bitIndex2) | (~v90(constB111, bitIndex1)) | (~v90(constB111, bitIndex0)))))) <=> ((~![VarCurr: $i] : (v122(VarCurr) <=> (~(v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)))))) | (v122(constB111) <=> (~(v90(constB111, bitIndex2) | (~v90(constB111, bitIndex1)) | (~v90(constB111, bitIndex0))))))),
% 15.11/10.33 inference(rewrite,[status(thm)],[])).
% 15.11/10.33 tff(15370,plain,
% 15.11/10.33 ((v122(constB111) <=> (~(v90(constB111, bitIndex2) | (~v90(constB111, bitIndex0)) | (~v90(constB111, bitIndex1))))) <=> (v122(constB111) <=> (~(v90(constB111, bitIndex2) | (~v90(constB111, bitIndex1)) | (~v90(constB111, bitIndex0)))))),
% 15.11/10.33 inference(rewrite,[status(thm)],[])).
% 15.11/10.33 tff(15371,plain,
% 15.11/10.33 (((~![VarCurr: $i] : (v122(VarCurr) <=> (~(v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)))))) | (v122(constB111) <=> (~(v90(constB111, bitIndex2) | (~v90(constB111, bitIndex0)) | (~v90(constB111, bitIndex1)))))) <=> ((~![VarCurr: $i] : (v122(VarCurr) <=> (~(v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)))))) | (v122(constB111) <=> (~(v90(constB111, bitIndex2) | (~v90(constB111, bitIndex1)) | (~v90(constB111, bitIndex0))))))),
% 15.11/10.33 inference(monotonicity,[status(thm)],[15370])).
% 15.11/10.33 tff(15372,plain,
% 15.11/10.33 (((~![VarCurr: $i] : (v122(VarCurr) <=> (~(v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)))))) | (v122(constB111) <=> (~(v90(constB111, bitIndex2) | (~v90(constB111, bitIndex0)) | (~v90(constB111, bitIndex1)))))) <=> ((~![VarCurr: $i] : (v122(VarCurr) <=> (~(v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)))))) | (v122(constB111) <=> (~(v90(constB111, bitIndex2) | (~v90(constB111, bitIndex1)) | (~v90(constB111, bitIndex0))))))),
% 15.11/10.33 inference(transitivity,[status(thm)],[15371, 15369])).
% 15.11/10.33 tff(15373,plain,
% 15.11/10.33 ((~![VarCurr: $i] : (v122(VarCurr) <=> (~(v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)))))) | (v122(constB111) <=> (~(v90(constB111, bitIndex2) | (~v90(constB111, bitIndex0)) | (~v90(constB111, bitIndex1)))))),
% 15.11/10.33 inference(quant_inst,[status(thm)],[])).
% 15.11/10.33 tff(15374,plain,
% 15.11/10.33 ((~![VarCurr: $i] : (v122(VarCurr) <=> (~(v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)))))) | (v122(constB111) <=> (~(v90(constB111, bitIndex2) | (~v90(constB111, bitIndex1)) | (~v90(constB111, bitIndex0)))))),
% 15.11/10.33 inference(modus_ponens,[status(thm)],[15373, 15372])).
% 15.11/10.33 tff(15375,plain,
% 15.11/10.33 (v122(constB111) <=> (~(v90(constB111, bitIndex2) | (~v90(constB111, bitIndex1)) | (~v90(constB111, bitIndex0))))),
% 15.11/10.33 inference(unit_resolution,[status(thm)],[15374, 734])).
% 15.11/10.33 tff(15376,plain,
% 15.11/10.33 (nextState(constB110, constB111) <=> nextState(constB110, constB111)),
% 15.11/10.33 inference(rewrite,[status(thm)],[])).
% 15.11/10.33 tff(15377,axiom,(nextState(constB110, constB111)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_110')).
% 15.11/10.33 tff(15378,plain,
% 15.11/10.33 (nextState(constB110, constB111)),
% 15.11/10.33 inference(modus_ponens,[status(thm)],[15377, 15376])).
% 15.11/10.33 tff(15379,plain,
% 15.11/10.33 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB110, constB111)) | (v100(constB111) <=> (~((~v101(constB111)) | (~v110(constB111))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB110, constB111)) | (v100(constB111) <=> (~((~v101(constB111)) | (~v110(constB111))))))),
% 15.11/10.33 inference(rewrite,[status(thm)],[])).
% 15.11/10.33 tff(15380,plain,
% 15.11/10.33 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB110, constB111)) | (v100(constB111) <=> (~((~v101(constB111)) | (~v110(constB111))))))),
% 15.11/10.33 inference(quant_inst,[status(thm)],[])).
% 15.11/10.33 tff(15381,plain,
% 15.11/10.33 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB110, constB111)) | (v100(constB111) <=> (~((~v101(constB111)) | (~v110(constB111)))))),
% 15.11/10.33 inference(modus_ponens,[status(thm)],[15380, 15379])).
% 15.11/10.33 tff(15382,plain,
% 15.11/10.33 (v100(constB111) <=> (~((~v101(constB111)) | (~v110(constB111))))),
% 15.11/10.33 inference(unit_resolution,[status(thm)],[15381, 15378, 430])).
% 15.11/10.33 tff(15383,plain,
% 15.11/10.33 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB110, constB111)) | (v101(constB111) <=> (~((~v1(constB111)) | (~v102(constB111))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB110, constB111)) | (v101(constB111) <=> (~((~v1(constB111)) | (~v102(constB111))))))),
% 15.11/10.33 inference(rewrite,[status(thm)],[])).
% 15.11/10.33 tff(15384,plain,
% 15.11/10.33 (((~nextState(constB110, constB111)) | (v101(constB111) <=> (~((~v102(constB111)) | (~v1(constB111)))))) <=> ((~nextState(constB110, constB111)) | (v101(constB111) <=> (~((~v1(constB111)) | (~v102(constB111))))))),
% 15.11/10.33 inference(rewrite,[status(thm)],[])).
% 15.11/10.33 tff(15385,plain,
% 15.11/10.33 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB110, constB111)) | (v101(constB111) <=> (~((~v102(constB111)) | (~v1(constB111))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB110, constB111)) | (v101(constB111) <=> (~((~v1(constB111)) | (~v102(constB111)))))))),
% 15.11/10.33 inference(monotonicity,[status(thm)],[15384])).
% 15.11/10.33 tff(15386,plain,
% 15.11/10.33 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB110, constB111)) | (v101(constB111) <=> (~((~v102(constB111)) | (~v1(constB111))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB110, constB111)) | (v101(constB111) <=> (~((~v1(constB111)) | (~v102(constB111))))))),
% 15.11/10.33 inference(transitivity,[status(thm)],[15385, 15383])).
% 15.11/10.33 tff(15387,plain,
% 15.11/10.33 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB110, constB111)) | (v101(constB111) <=> (~((~v102(constB111)) | (~v1(constB111))))))),
% 15.11/10.33 inference(quant_inst,[status(thm)],[])).
% 15.11/10.33 tff(15388,plain,
% 15.11/10.33 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB110, constB111)) | (v101(constB111) <=> (~((~v1(constB111)) | (~v102(constB111)))))),
% 15.11/10.33 inference(modus_ponens,[status(thm)],[15387, 15386])).
% 15.11/10.33 tff(15389,plain,
% 15.11/10.33 (v101(constB111) <=> (~((~v1(constB111)) | (~v102(constB111))))),
% 15.11/10.33 inference(unit_resolution,[status(thm)],[15388, 15378, 450])).
% 15.11/10.33 tff(15390,plain,
% 15.11/10.33 (((~v1(constB111)) | (~v102(constB111))) | v1(constB111)),
% 15.11/10.33 inference(tautology,[status(thm)],[])).
% 15.11/10.33 tff(15391,plain,
% 15.11/10.33 ((~v1(constB111)) | (~v102(constB111))),
% 15.11/10.33 inference(unit_resolution,[status(thm)],[15390, 15339])).
% 15.11/10.33 tff(15392,plain,
% 15.11/10.33 ((~(v101(constB111) <=> (~((~v1(constB111)) | (~v102(constB111)))))) | (~v101(constB111)) | (~((~v1(constB111)) | (~v102(constB111))))),
% 15.11/10.33 inference(tautology,[status(thm)],[])).
% 15.11/10.33 tff(15393,plain,
% 15.11/10.33 ((~(v101(constB111) <=> (~((~v1(constB111)) | (~v102(constB111)))))) | (~v101(constB111))),
% 15.11/10.33 inference(unit_resolution,[status(thm)],[15392, 15391])).
% 15.11/10.33 tff(15394,plain,
% 15.11/10.33 (~v101(constB111)),
% 15.11/10.33 inference(unit_resolution,[status(thm)],[15393, 15389])).
% 15.11/10.33 tff(15395,plain,
% 15.11/10.33 (((~v101(constB111)) | (~v110(constB111))) | v101(constB111)),
% 15.11/10.33 inference(tautology,[status(thm)],[])).
% 15.11/10.33 tff(15396,plain,
% 15.11/10.33 ((~v101(constB111)) | (~v110(constB111))),
% 15.11/10.33 inference(unit_resolution,[status(thm)],[15395, 15394])).
% 15.11/10.33 tff(15397,plain,
% 15.11/10.33 ((~(v100(constB111) <=> (~((~v101(constB111)) | (~v110(constB111)))))) | (~v100(constB111)) | (~((~v101(constB111)) | (~v110(constB111))))),
% 15.11/10.33 inference(tautology,[status(thm)],[])).
% 15.11/10.33 tff(15398,plain,
% 15.11/10.33 (~v100(constB111)),
% 15.11/10.33 inference(unit_resolution,[status(thm)],[15397, 15396, 15382])).
% 15.11/10.33 tff(15399,plain,
% 15.13/10.33 (((~![VarCurr: $i, VarNext: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v90(VarCurr, B))))) | (v100(constB111) | (~nextState(constB110, constB111)) | ![B: $i] : ((~less_3(B)) | (v90(constB111, B) <=> v90(constB110, B))))) <=> ((~![VarCurr: $i, VarNext: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v90(VarCurr, B))))) | v100(constB111) | (~nextState(constB110, constB111)) | ![B: $i] : ((~less_3(B)) | (v90(constB111, B) <=> v90(constB110, B))))),
% 15.13/10.33 inference(rewrite,[status(thm)],[])).
% 15.13/10.33 tff(15400,plain,
% 15.13/10.33 ((~![VarCurr: $i, VarNext: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v90(VarCurr, B))))) | (v100(constB111) | (~nextState(constB110, constB111)) | ![B: $i] : ((~less_3(B)) | (v90(constB111, B) <=> v90(constB110, B))))),
% 15.13/10.33 inference(quant_inst,[status(thm)],[])).
% 15.13/10.33 tff(15401,plain,
% 15.13/10.33 ((~![VarCurr: $i, VarNext: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v90(VarCurr, B))))) | v100(constB111) | (~nextState(constB110, constB111)) | ![B: $i] : ((~less_3(B)) | (v90(constB111, B) <=> v90(constB110, B)))),
% 15.13/10.33 inference(modus_ponens,[status(thm)],[15400, 15399])).
% 15.13/10.33 tff(15402,plain,
% 15.13/10.33 (v100(constB111) | ![B: $i] : ((~less_3(B)) | (v90(constB111, B) <=> v90(constB110, B)))),
% 15.13/10.33 inference(unit_resolution,[status(thm)],[15401, 15378, 479])).
% 15.13/10.33 tff(15403,plain,
% 15.13/10.33 (![B: $i] : ((~less_3(B)) | (v90(constB111, B) <=> v90(constB110, B)))),
% 15.13/10.33 inference(unit_resolution,[status(thm)],[15402, 15398])).
% 15.13/10.33 tff(15404,plain,
% 15.13/10.33 (((~![B: $i] : ((~less_3(B)) | (v90(constB111, B) <=> v90(constB110, B)))) | ((~less_3(bitIndex2)) | (v90(constB111, bitIndex2) <=> v90(constB110, bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v90(constB111, B) <=> v90(constB110, B)))) | (~less_3(bitIndex2)) | (v90(constB111, bitIndex2) <=> v90(constB110, bitIndex2)))),
% 15.13/10.33 inference(rewrite,[status(thm)],[])).
% 15.13/10.33 tff(15405,plain,
% 15.13/10.33 ((~![B: $i] : ((~less_3(B)) | (v90(constB111, B) <=> v90(constB110, B)))) | ((~less_3(bitIndex2)) | (v90(constB111, bitIndex2) <=> v90(constB110, bitIndex2)))),
% 15.13/10.33 inference(quant_inst,[status(thm)],[])).
% 15.13/10.33 tff(15406,plain,
% 15.13/10.33 ((~![B: $i] : ((~less_3(B)) | (v90(constB111, B) <=> v90(constB110, B)))) | (~less_3(bitIndex2)) | (v90(constB111, bitIndex2) <=> v90(constB110, bitIndex2))),
% 15.13/10.33 inference(modus_ponens,[status(thm)],[15405, 15404])).
% 15.13/10.33 tff(15407,plain,
% 15.13/10.33 (v90(constB111, bitIndex2) <=> v90(constB110, bitIndex2)),
% 15.13/10.33 inference(unit_resolution,[status(thm)],[15406, 413, 15403])).
% 15.13/10.33 tff(15408,plain,
% 15.13/10.33 (nextState(constB109, constB110) <=> nextState(constB109, constB110)),
% 15.13/10.33 inference(rewrite,[status(thm)],[])).
% 15.13/10.33 tff(15409,axiom,(nextState(constB109, constB110)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_109')).
% 15.13/10.33 tff(15410,plain,
% 15.13/10.33 (nextState(constB109, constB110)),
% 15.13/10.33 inference(modus_ponens,[status(thm)],[15409, 15408])).
% 15.13/10.33 tff(15411,plain,
% 15.13/10.33 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB109, constB110)) | (v100(constB110) <=> (~((~v101(constB110)) | (~v110(constB110))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB109, constB110)) | (v100(constB110) <=> (~((~v101(constB110)) | (~v110(constB110))))))),
% 15.13/10.33 inference(rewrite,[status(thm)],[])).
% 15.13/10.33 tff(15412,plain,
% 15.13/10.33 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB109, constB110)) | (v100(constB110) <=> (~((~v101(constB110)) | (~v110(constB110))))))),
% 15.13/10.33 inference(quant_inst,[status(thm)],[])).
% 15.13/10.33 tff(15413,plain,
% 15.13/10.33 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB109, constB110)) | (v100(constB110) <=> (~((~v101(constB110)) | (~v110(constB110)))))),
% 15.13/10.33 inference(modus_ponens,[status(thm)],[15412, 15411])).
% 15.13/10.33 tff(15414,plain,
% 15.13/10.33 (v100(constB110) <=> (~((~v101(constB110)) | (~v110(constB110))))),
% 15.13/10.33 inference(unit_resolution,[status(thm)],[15413, 15410, 430])).
% 15.13/10.33 tff(15415,plain,
% 15.13/10.33 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB109, constB110)) | (v101(constB110) <=> (~((~v1(constB110)) | (~v102(constB110))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB109, constB110)) | (v101(constB110) <=> (~((~v1(constB110)) | (~v102(constB110))))))),
% 15.13/10.33 inference(rewrite,[status(thm)],[])).
% 15.13/10.33 tff(15416,plain,
% 15.13/10.33 (((~nextState(constB109, constB110)) | (v101(constB110) <=> (~((~v102(constB110)) | (~v1(constB110)))))) <=> ((~nextState(constB109, constB110)) | (v101(constB110) <=> (~((~v1(constB110)) | (~v102(constB110))))))),
% 15.13/10.33 inference(rewrite,[status(thm)],[])).
% 15.13/10.33 tff(15417,plain,
% 15.13/10.33 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB109, constB110)) | (v101(constB110) <=> (~((~v102(constB110)) | (~v1(constB110))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB109, constB110)) | (v101(constB110) <=> (~((~v1(constB110)) | (~v102(constB110)))))))),
% 15.13/10.33 inference(monotonicity,[status(thm)],[15416])).
% 15.13/10.33 tff(15418,plain,
% 15.13/10.33 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB109, constB110)) | (v101(constB110) <=> (~((~v102(constB110)) | (~v1(constB110))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB109, constB110)) | (v101(constB110) <=> (~((~v1(constB110)) | (~v102(constB110))))))),
% 15.13/10.33 inference(transitivity,[status(thm)],[15417, 15415])).
% 15.13/10.33 tff(15419,plain,
% 15.13/10.33 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB109, constB110)) | (v101(constB110) <=> (~((~v102(constB110)) | (~v1(constB110))))))),
% 15.13/10.33 inference(quant_inst,[status(thm)],[])).
% 15.13/10.33 tff(15420,plain,
% 15.13/10.33 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB109, constB110)) | (v101(constB110) <=> (~((~v1(constB110)) | (~v102(constB110)))))),
% 15.13/10.33 inference(modus_ponens,[status(thm)],[15419, 15418])).
% 15.13/10.33 tff(15421,plain,
% 15.13/10.33 (v101(constB110) <=> (~((~v1(constB110)) | (~v102(constB110))))),
% 15.13/10.33 inference(unit_resolution,[status(thm)],[15420, 15410, 450])).
% 15.13/10.33 tff(15422,plain,
% 15.13/10.33 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | ((~nextState(constB109, constB110)) | ((~v102(constB110)) <=> v104(constB110)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | (~nextState(constB109, constB110)) | ((~v102(constB110)) <=> v104(constB110)))),
% 15.13/10.33 inference(rewrite,[status(thm)],[])).
% 15.13/10.33 tff(15423,plain,
% 15.13/10.33 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | ((~nextState(constB109, constB110)) | ((~v102(constB110)) <=> v104(constB110)))),
% 15.13/10.33 inference(quant_inst,[status(thm)],[])).
% 15.13/10.33 tff(15424,plain,
% 15.13/10.33 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | (~nextState(constB109, constB110)) | ((~v102(constB110)) <=> v104(constB110))),
% 15.13/10.33 inference(modus_ponens,[status(thm)],[15423, 15422])).
% 15.13/10.33 tff(15425,plain,
% 15.13/10.33 ((~v102(constB110)) <=> v104(constB110)),
% 15.13/10.33 inference(unit_resolution,[status(thm)],[15424, 15410, 512])).
% 15.13/10.33 tff(15426,plain,
% 15.13/10.33 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB109, constB110)) | (v104(constB110) <=> v1(constB109)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | (~nextState(constB109, constB110)) | (v104(constB110) <=> v1(constB109)))),
% 15.13/10.33 inference(rewrite,[status(thm)],[])).
% 15.13/10.33 tff(15427,plain,
% 15.13/10.33 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB109, constB110)) | (v104(constB110) <=> v1(constB109)))),
% 15.13/10.33 inference(quant_inst,[status(thm)],[])).
% 15.13/10.33 tff(15428,plain,
% 15.13/10.33 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | (~nextState(constB109, constB110)) | (v104(constB110) <=> v1(constB109))),
% 15.13/10.33 inference(modus_ponens,[status(thm)],[15427, 15426])).
% 15.13/10.33 tff(15429,plain,
% 15.13/10.33 (v104(constB110) <=> v1(constB109)),
% 15.13/10.33 inference(unit_resolution,[status(thm)],[15428, 15410, 526])).
% 15.13/10.33 tff(15430,plain,
% 15.13/10.33 ((~v1(constB109)) <=> (~v1(constB109))),
% 15.13/10.33 inference(rewrite,[status(thm)],[])).
% 15.13/10.33 tff(15431,axiom,(~v1(constB109)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_109')).
% 15.13/10.33 tff(15432,plain,
% 15.13/10.33 (~v1(constB109)),
% 15.13/10.33 inference(modus_ponens,[status(thm)],[15431, 15430])).
% 15.13/10.33 tff(15433,plain,
% 15.13/10.33 ((~(v104(constB110) <=> v1(constB109))) | (~v104(constB110)) | v1(constB109)),
% 15.13/10.33 inference(tautology,[status(thm)],[])).
% 15.13/10.33 tff(15434,plain,
% 15.13/10.33 ((~(v104(constB110) <=> v1(constB109))) | (~v104(constB110))),
% 15.13/10.33 inference(unit_resolution,[status(thm)],[15433, 15432])).
% 15.13/10.33 tff(15435,plain,
% 15.13/10.33 (~v104(constB110)),
% 15.13/10.33 inference(unit_resolution,[status(thm)],[15434, 15429])).
% 15.13/10.33 tff(15436,plain,
% 15.13/10.33 ((~((~v102(constB110)) <=> v104(constB110))) | v102(constB110) | v104(constB110)),
% 15.13/10.33 inference(tautology,[status(thm)],[])).
% 15.13/10.33 tff(15437,plain,
% 15.13/10.33 (v102(constB110)),
% 15.13/10.33 inference(unit_resolution,[status(thm)],[15436, 15435, 15425])).
% 15.13/10.33 tff(15438,plain,
% 15.13/10.33 (v1(constB110) <=> v1(constB110)),
% 15.13/10.33 inference(rewrite,[status(thm)],[])).
% 15.13/10.33 tff(15439,axiom,(v1(constB110)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_110')).
% 15.13/10.33 tff(15440,plain,
% 15.13/10.33 (v1(constB110)),
% 15.13/10.33 inference(modus_ponens,[status(thm)],[15439, 15438])).
% 15.13/10.33 tff(15441,plain,
% 15.13/10.33 ((~((~v1(constB110)) | (~v102(constB110)))) | (~v1(constB110)) | (~v102(constB110))),
% 15.13/10.33 inference(tautology,[status(thm)],[])).
% 15.13/10.33 tff(15442,plain,
% 15.13/10.33 ((~((~v1(constB110)) | (~v102(constB110)))) | (~v102(constB110))),
% 15.13/10.33 inference(unit_resolution,[status(thm)],[15441, 15440])).
% 15.13/10.33 tff(15443,plain,
% 15.13/10.33 (~((~v1(constB110)) | (~v102(constB110)))),
% 15.13/10.33 inference(unit_resolution,[status(thm)],[15442, 15437])).
% 15.13/10.33 tff(15444,plain,
% 15.13/10.33 ((~(v101(constB110) <=> (~((~v1(constB110)) | (~v102(constB110)))))) | v101(constB110) | ((~v1(constB110)) | (~v102(constB110)))),
% 15.13/10.33 inference(tautology,[status(thm)],[])).
% 15.13/10.33 tff(15445,plain,
% 15.13/10.33 (v101(constB110)),
% 15.13/10.33 inference(unit_resolution,[status(thm)],[15444, 15443, 15421])).
% 15.13/10.33 tff(15446,plain,
% 15.13/10.33 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | ((~nextState(constB109, constB110)) | (v110(constB110) <=> v108(constB109)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | (~nextState(constB109, constB110)) | (v110(constB110) <=> v108(constB109)))),
% 15.13/10.33 inference(rewrite,[status(thm)],[])).
% 15.13/10.33 tff(15447,plain,
% 15.13/10.33 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | ((~nextState(constB109, constB110)) | (v110(constB110) <=> v108(constB109)))),
% 15.13/10.33 inference(quant_inst,[status(thm)],[])).
% 15.13/10.33 tff(15448,plain,
% 15.13/10.33 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | (~nextState(constB109, constB110)) | (v110(constB110) <=> v108(constB109))),
% 15.13/10.33 inference(modus_ponens,[status(thm)],[15447, 15446])).
% 15.13/10.33 tff(15449,plain,
% 15.13/10.33 (v110(constB110) <=> v108(constB109)),
% 15.13/10.33 inference(unit_resolution,[status(thm)],[15448, 15410, 556])).
% 15.13/10.33 tff(15450,plain,
% 15.13/10.33 ((~![VarCurr: $i] : (v108(VarCurr) <=> (v111(VarCurr) | v112(VarCurr)))) | (v108(constB109) <=> (v111(constB109) | v112(constB109)))),
% 15.13/10.33 inference(quant_inst,[status(thm)],[])).
% 15.13/10.33 tff(15451,plain,
% 15.13/10.33 (v108(constB109) <=> (v111(constB109) | v112(constB109))),
% 15.13/10.33 inference(unit_resolution,[status(thm)],[15450, 567])).
% 15.13/10.33 tff(15452,plain,
% 15.13/10.33 ((~![VarCurr: $i] : (v112(VarCurr) <=> (~((~v113(VarCurr)) | (~v126(VarCurr)))))) | (v112(constB109) <=> (~((~v113(constB109)) | (~v126(constB109)))))),
% 15.13/10.33 inference(quant_inst,[status(thm)],[])).
% 15.13/10.33 tff(15453,plain,
% 15.13/10.33 (v112(constB109) <=> (~((~v113(constB109)) | (~v126(constB109))))),
% 15.13/10.33 inference(unit_resolution,[status(thm)],[15452, 579])).
% 15.13/10.33 tff(15454,plain,
% 15.13/10.33 ((~![VarCurr: $i] : (v113(VarCurr) <=> (v114(VarCurr) | v125(VarCurr)))) | (v113(constB109) <=> (v114(constB109) | v125(constB109)))),
% 15.13/10.33 inference(quant_inst,[status(thm)],[])).
% 15.13/10.33 tff(15455,plain,
% 15.13/10.33 (v113(constB109) <=> (v114(constB109) | v125(constB109))),
% 15.13/10.33 inference(unit_resolution,[status(thm)],[15454, 588])).
% 15.13/10.33 tff(15456,plain,
% 15.13/10.33 ((~![VarCurr: $i] : (v114(VarCurr) <=> (v115(VarCurr) | v124(VarCurr)))) | (v114(constB109) <=> (v115(constB109) | v124(constB109)))),
% 15.13/10.33 inference(quant_inst,[status(thm)],[])).
% 15.13/10.33 tff(15457,plain,
% 15.13/10.33 (v114(constB109) <=> (v115(constB109) | v124(constB109))),
% 15.13/10.33 inference(unit_resolution,[status(thm)],[15456, 597])).
% 15.13/10.33 tff(15458,plain,
% 15.13/10.33 ((~![VarCurr: $i] : (v115(VarCurr) <=> (v116(VarCurr) | v123(VarCurr)))) | (v115(constB109) <=> (v116(constB109) | v123(constB109)))),
% 15.13/10.33 inference(quant_inst,[status(thm)],[])).
% 15.13/10.33 tff(15459,plain,
% 15.13/10.33 (v115(constB109) <=> (v116(constB109) | v123(constB109))),
% 15.13/10.33 inference(unit_resolution,[status(thm)],[15458, 606])).
% 15.13/10.33 tff(15460,plain,
% 15.13/10.33 ((~![VarCurr: $i] : (v116(VarCurr) <=> (v117(VarCurr) | v122(VarCurr)))) | (v116(constB109) <=> (v117(constB109) | v122(constB109)))),
% 15.13/10.33 inference(quant_inst,[status(thm)],[])).
% 15.13/10.33 tff(15461,plain,
% 15.13/10.33 (v116(constB109) <=> (v117(constB109) | v122(constB109))),
% 15.13/10.33 inference(unit_resolution,[status(thm)],[15460, 719])).
% 15.13/10.33 tff(15462,plain,
% 15.13/10.33 ((~![VarCurr: $i] : (v117(VarCurr) <=> (v118(VarCurr) | v121(VarCurr)))) | (v117(constB109) <=> (v118(constB109) | v121(constB109)))),
% 15.13/10.33 inference(quant_inst,[status(thm)],[])).
% 15.13/10.33 tff(15463,plain,
% 15.13/10.33 (v117(constB109) <=> (v118(constB109) | v121(constB109))),
% 15.13/10.33 inference(unit_resolution,[status(thm)],[15462, 834])).
% 15.13/10.33 tff(15464,plain,
% 15.13/10.33 (((~![VarCurr: $i] : (v121(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex1)))))) | (v121(constB109) <=> (~(v90(constB109, bitIndex2) | (~v90(constB109, bitIndex1)) | v90(constB109, bitIndex0))))) <=> ((~![VarCurr: $i] : (v121(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex1)))))) | (v121(constB109) <=> (~(v90(constB109, bitIndex2) | (~v90(constB109, bitIndex1)) | v90(constB109, bitIndex0)))))),
% 15.13/10.33 inference(rewrite,[status(thm)],[])).
% 15.13/10.33 tff(15465,plain,
% 15.13/10.33 ((v121(constB109) <=> (~(v90(constB109, bitIndex0) | v90(constB109, bitIndex2) | (~v90(constB109, bitIndex1))))) <=> (v121(constB109) <=> (~(v90(constB109, bitIndex2) | (~v90(constB109, bitIndex1)) | v90(constB109, bitIndex0))))),
% 15.13/10.33 inference(rewrite,[status(thm)],[])).
% 15.13/10.33 tff(15466,plain,
% 15.13/10.33 (((~![VarCurr: $i] : (v121(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex1)))))) | (v121(constB109) <=> (~(v90(constB109, bitIndex0) | v90(constB109, bitIndex2) | (~v90(constB109, bitIndex1)))))) <=> ((~![VarCurr: $i] : (v121(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex1)))))) | (v121(constB109) <=> (~(v90(constB109, bitIndex2) | (~v90(constB109, bitIndex1)) | v90(constB109, bitIndex0)))))),
% 15.13/10.33 inference(monotonicity,[status(thm)],[15465])).
% 15.13/10.33 tff(15467,plain,
% 15.13/10.33 (((~![VarCurr: $i] : (v121(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex1)))))) | (v121(constB109) <=> (~(v90(constB109, bitIndex0) | v90(constB109, bitIndex2) | (~v90(constB109, bitIndex1)))))) <=> ((~![VarCurr: $i] : (v121(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex1)))))) | (v121(constB109) <=> (~(v90(constB109, bitIndex2) | (~v90(constB109, bitIndex1)) | v90(constB109, bitIndex0)))))),
% 15.13/10.33 inference(transitivity,[status(thm)],[15466, 15464])).
% 15.13/10.33 tff(15468,plain,
% 15.13/10.33 ((~![VarCurr: $i] : (v121(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex1)))))) | (v121(constB109) <=> (~(v90(constB109, bitIndex0) | v90(constB109, bitIndex2) | (~v90(constB109, bitIndex1)))))),
% 15.13/10.33 inference(quant_inst,[status(thm)],[])).
% 15.13/10.33 tff(15469,plain,
% 15.13/10.33 ((~![VarCurr: $i] : (v121(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex1)))))) | (v121(constB109) <=> (~(v90(constB109, bitIndex2) | (~v90(constB109, bitIndex1)) | v90(constB109, bitIndex0))))),
% 15.13/10.33 inference(modus_ponens,[status(thm)],[15468, 15467])).
% 15.13/10.33 tff(15470,plain,
% 15.13/10.33 (v121(constB109) <=> (~(v90(constB109, bitIndex2) | (~v90(constB109, bitIndex1)) | v90(constB109, bitIndex0)))),
% 15.13/10.33 inference(unit_resolution,[status(thm)],[15469, 849])).
% 15.13/10.33 tff(15471,plain,
% 15.13/10.33 (nextState(constB108, constB109) <=> nextState(constB108, constB109)),
% 15.13/10.33 inference(rewrite,[status(thm)],[])).
% 15.13/10.33 tff(15472,axiom,(nextState(constB108, constB109)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_108')).
% 15.13/10.33 tff(15473,plain,
% 15.13/10.33 (nextState(constB108, constB109)),
% 15.13/10.33 inference(modus_ponens,[status(thm)],[15472, 15471])).
% 15.13/10.33 tff(15474,plain,
% 15.13/10.33 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB108, constB109)) | (v100(constB109) <=> (~((~v101(constB109)) | (~v110(constB109))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB108, constB109)) | (v100(constB109) <=> (~((~v101(constB109)) | (~v110(constB109))))))),
% 15.13/10.33 inference(rewrite,[status(thm)],[])).
% 15.13/10.33 tff(15475,plain,
% 15.13/10.33 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB108, constB109)) | (v100(constB109) <=> (~((~v101(constB109)) | (~v110(constB109))))))),
% 15.13/10.33 inference(quant_inst,[status(thm)],[])).
% 15.13/10.33 tff(15476,plain,
% 15.13/10.33 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB108, constB109)) | (v100(constB109) <=> (~((~v101(constB109)) | (~v110(constB109)))))),
% 15.13/10.33 inference(modus_ponens,[status(thm)],[15475, 15474])).
% 15.13/10.33 tff(15477,plain,
% 15.13/10.33 (v100(constB109) <=> (~((~v101(constB109)) | (~v110(constB109))))),
% 15.13/10.33 inference(unit_resolution,[status(thm)],[15476, 15473, 430])).
% 15.13/10.33 tff(15478,plain,
% 15.13/10.33 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB108, constB109)) | (v101(constB109) <=> (~((~v1(constB109)) | (~v102(constB109))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB108, constB109)) | (v101(constB109) <=> (~((~v1(constB109)) | (~v102(constB109))))))),
% 15.13/10.33 inference(rewrite,[status(thm)],[])).
% 15.13/10.33 tff(15479,plain,
% 15.13/10.33 (((~nextState(constB108, constB109)) | (v101(constB109) <=> (~((~v102(constB109)) | (~v1(constB109)))))) <=> ((~nextState(constB108, constB109)) | (v101(constB109) <=> (~((~v1(constB109)) | (~v102(constB109))))))),
% 15.13/10.33 inference(rewrite,[status(thm)],[])).
% 15.13/10.33 tff(15480,plain,
% 15.13/10.33 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB108, constB109)) | (v101(constB109) <=> (~((~v102(constB109)) | (~v1(constB109))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB108, constB109)) | (v101(constB109) <=> (~((~v1(constB109)) | (~v102(constB109)))))))),
% 15.13/10.34 inference(monotonicity,[status(thm)],[15479])).
% 15.13/10.34 tff(15481,plain,
% 15.13/10.34 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB108, constB109)) | (v101(constB109) <=> (~((~v102(constB109)) | (~v1(constB109))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB108, constB109)) | (v101(constB109) <=> (~((~v1(constB109)) | (~v102(constB109))))))),
% 15.13/10.34 inference(transitivity,[status(thm)],[15480, 15478])).
% 15.13/10.34 tff(15482,plain,
% 15.13/10.34 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB108, constB109)) | (v101(constB109) <=> (~((~v102(constB109)) | (~v1(constB109))))))),
% 15.13/10.34 inference(quant_inst,[status(thm)],[])).
% 15.13/10.34 tff(15483,plain,
% 15.13/10.34 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB108, constB109)) | (v101(constB109) <=> (~((~v1(constB109)) | (~v102(constB109)))))),
% 15.13/10.34 inference(modus_ponens,[status(thm)],[15482, 15481])).
% 15.13/10.34 tff(15484,plain,
% 15.13/10.34 (v101(constB109) <=> (~((~v1(constB109)) | (~v102(constB109))))),
% 15.13/10.34 inference(unit_resolution,[status(thm)],[15483, 15473, 450])).
% 15.13/10.34 tff(15485,plain,
% 15.13/10.34 (((~v1(constB109)) | (~v102(constB109))) | v1(constB109)),
% 15.13/10.34 inference(tautology,[status(thm)],[])).
% 15.13/10.34 tff(15486,plain,
% 15.13/10.34 ((~v1(constB109)) | (~v102(constB109))),
% 15.13/10.34 inference(unit_resolution,[status(thm)],[15485, 15432])).
% 15.13/10.34 tff(15487,plain,
% 15.13/10.34 ((~(v101(constB109) <=> (~((~v1(constB109)) | (~v102(constB109)))))) | (~v101(constB109)) | (~((~v1(constB109)) | (~v102(constB109))))),
% 15.13/10.34 inference(tautology,[status(thm)],[])).
% 15.13/10.34 tff(15488,plain,
% 15.13/10.34 ((~(v101(constB109) <=> (~((~v1(constB109)) | (~v102(constB109)))))) | (~v101(constB109))),
% 15.13/10.34 inference(unit_resolution,[status(thm)],[15487, 15486])).
% 15.13/10.34 tff(15489,plain,
% 15.13/10.34 (~v101(constB109)),
% 15.13/10.34 inference(unit_resolution,[status(thm)],[15488, 15484])).
% 15.13/10.34 tff(15490,plain,
% 15.13/10.34 (((~v101(constB109)) | (~v110(constB109))) | v101(constB109)),
% 15.13/10.34 inference(tautology,[status(thm)],[])).
% 15.13/10.34 tff(15491,plain,
% 15.13/10.34 ((~v101(constB109)) | (~v110(constB109))),
% 15.13/10.34 inference(unit_resolution,[status(thm)],[15490, 15489])).
% 15.13/10.34 tff(15492,plain,
% 15.13/10.34 ((~(v100(constB109) <=> (~((~v101(constB109)) | (~v110(constB109)))))) | (~v100(constB109)) | (~((~v101(constB109)) | (~v110(constB109))))),
% 15.13/10.34 inference(tautology,[status(thm)],[])).
% 15.13/10.34 tff(15493,plain,
% 15.13/10.34 (~v100(constB109)),
% 15.13/10.34 inference(unit_resolution,[status(thm)],[15492, 15491, 15477])).
% 15.13/10.34 tff(15494,plain,
% 15.13/10.34 (((~![VarCurr: $i, VarNext: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v90(VarCurr, B))))) | (v100(constB109) | (~nextState(constB108, constB109)) | ![B: $i] : ((~less_3(B)) | (v90(constB109, B) <=> v90(constB108, B))))) <=> ((~![VarCurr: $i, VarNext: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v90(VarCurr, B))))) | v100(constB109) | (~nextState(constB108, constB109)) | ![B: $i] : ((~less_3(B)) | (v90(constB109, B) <=> v90(constB108, B))))),
% 15.13/10.34 inference(rewrite,[status(thm)],[])).
% 15.13/10.34 tff(15495,plain,
% 15.13/10.34 ((~![VarCurr: $i, VarNext: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v90(VarCurr, B))))) | (v100(constB109) | (~nextState(constB108, constB109)) | ![B: $i] : ((~less_3(B)) | (v90(constB109, B) <=> v90(constB108, B))))),
% 15.13/10.34 inference(quant_inst,[status(thm)],[])).
% 15.13/10.34 tff(15496,plain,
% 15.13/10.34 ((~![VarCurr: $i, VarNext: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v90(VarCurr, B))))) | v100(constB109) | (~nextState(constB108, constB109)) | ![B: $i] : ((~less_3(B)) | (v90(constB109, B) <=> v90(constB108, B)))),
% 15.13/10.34 inference(modus_ponens,[status(thm)],[15495, 15494])).
% 15.13/10.34 tff(15497,plain,
% 15.13/10.34 (v100(constB109) | ![B: $i] : ((~less_3(B)) | (v90(constB109, B) <=> v90(constB108, B)))),
% 15.13/10.34 inference(unit_resolution,[status(thm)],[15496, 15473, 479])).
% 15.13/10.34 tff(15498,plain,
% 15.13/10.34 (![B: $i] : ((~less_3(B)) | (v90(constB109, B) <=> v90(constB108, B)))),
% 15.13/10.34 inference(unit_resolution,[status(thm)],[15497, 15493])).
% 15.13/10.34 tff(15499,plain,
% 15.13/10.34 (((~![B: $i] : ((~less_3(B)) | (v90(constB109, B) <=> v90(constB108, B)))) | ((~less_3(bitIndex2)) | (v90(constB109, bitIndex2) <=> v90(constB108, bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v90(constB109, B) <=> v90(constB108, B)))) | (~less_3(bitIndex2)) | (v90(constB109, bitIndex2) <=> v90(constB108, bitIndex2)))),
% 15.13/10.34 inference(rewrite,[status(thm)],[])).
% 15.13/10.34 tff(15500,plain,
% 15.13/10.34 ((~![B: $i] : ((~less_3(B)) | (v90(constB109, B) <=> v90(constB108, B)))) | ((~less_3(bitIndex2)) | (v90(constB109, bitIndex2) <=> v90(constB108, bitIndex2)))),
% 15.13/10.34 inference(quant_inst,[status(thm)],[])).
% 15.13/10.34 tff(15501,plain,
% 15.13/10.34 ((~![B: $i] : ((~less_3(B)) | (v90(constB109, B) <=> v90(constB108, B)))) | (~less_3(bitIndex2)) | (v90(constB109, bitIndex2) <=> v90(constB108, bitIndex2))),
% 15.13/10.34 inference(modus_ponens,[status(thm)],[15500, 15499])).
% 15.13/10.34 tff(15502,plain,
% 15.13/10.34 (v90(constB109, bitIndex2) <=> v90(constB108, bitIndex2)),
% 15.13/10.34 inference(unit_resolution,[status(thm)],[15501, 413, 15498])).
% 15.13/10.34 tff(15503,plain,
% 15.13/10.34 (nextState(constB107, constB108) <=> nextState(constB107, constB108)),
% 15.13/10.34 inference(rewrite,[status(thm)],[])).
% 15.13/10.34 tff(15504,axiom,(nextState(constB107, constB108)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_107')).
% 15.13/10.34 tff(15505,plain,
% 15.13/10.34 (nextState(constB107, constB108)),
% 15.13/10.34 inference(modus_ponens,[status(thm)],[15504, 15503])).
% 15.13/10.34 tff(15506,plain,
% 15.13/10.34 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB107, constB108)) | (v100(constB108) <=> (~((~v101(constB108)) | (~v110(constB108))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB107, constB108)) | (v100(constB108) <=> (~((~v101(constB108)) | (~v110(constB108))))))),
% 15.13/10.34 inference(rewrite,[status(thm)],[])).
% 15.13/10.34 tff(15507,plain,
% 15.13/10.34 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB107, constB108)) | (v100(constB108) <=> (~((~v101(constB108)) | (~v110(constB108))))))),
% 15.13/10.34 inference(quant_inst,[status(thm)],[])).
% 15.13/10.34 tff(15508,plain,
% 15.13/10.34 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB107, constB108)) | (v100(constB108) <=> (~((~v101(constB108)) | (~v110(constB108)))))),
% 15.13/10.34 inference(modus_ponens,[status(thm)],[15507, 15506])).
% 15.13/10.34 tff(15509,plain,
% 15.13/10.34 (v100(constB108) <=> (~((~v101(constB108)) | (~v110(constB108))))),
% 15.13/10.34 inference(unit_resolution,[status(thm)],[15508, 15505, 430])).
% 15.13/10.34 tff(15510,plain,
% 15.13/10.34 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB107, constB108)) | (v101(constB108) <=> (~((~v1(constB108)) | (~v102(constB108))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB107, constB108)) | (v101(constB108) <=> (~((~v1(constB108)) | (~v102(constB108))))))),
% 15.13/10.34 inference(rewrite,[status(thm)],[])).
% 15.13/10.34 tff(15511,plain,
% 15.13/10.34 (((~nextState(constB107, constB108)) | (v101(constB108) <=> (~((~v102(constB108)) | (~v1(constB108)))))) <=> ((~nextState(constB107, constB108)) | (v101(constB108) <=> (~((~v1(constB108)) | (~v102(constB108))))))),
% 15.13/10.34 inference(rewrite,[status(thm)],[])).
% 15.13/10.34 tff(15512,plain,
% 15.13/10.34 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB107, constB108)) | (v101(constB108) <=> (~((~v102(constB108)) | (~v1(constB108))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB107, constB108)) | (v101(constB108) <=> (~((~v1(constB108)) | (~v102(constB108)))))))),
% 15.13/10.34 inference(monotonicity,[status(thm)],[15511])).
% 15.13/10.34 tff(15513,plain,
% 15.13/10.34 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB107, constB108)) | (v101(constB108) <=> (~((~v102(constB108)) | (~v1(constB108))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB107, constB108)) | (v101(constB108) <=> (~((~v1(constB108)) | (~v102(constB108))))))),
% 15.13/10.34 inference(transitivity,[status(thm)],[15512, 15510])).
% 15.13/10.34 tff(15514,plain,
% 15.13/10.34 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB107, constB108)) | (v101(constB108) <=> (~((~v102(constB108)) | (~v1(constB108))))))),
% 15.13/10.34 inference(quant_inst,[status(thm)],[])).
% 15.13/10.34 tff(15515,plain,
% 15.13/10.34 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB107, constB108)) | (v101(constB108) <=> (~((~v1(constB108)) | (~v102(constB108)))))),
% 15.13/10.34 inference(modus_ponens,[status(thm)],[15514, 15513])).
% 15.13/10.34 tff(15516,plain,
% 15.13/10.34 (v101(constB108) <=> (~((~v1(constB108)) | (~v102(constB108))))),
% 15.13/10.34 inference(unit_resolution,[status(thm)],[15515, 15505, 450])).
% 15.13/10.34 tff(15517,plain,
% 15.13/10.34 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | ((~nextState(constB107, constB108)) | ((~v102(constB108)) <=> v104(constB108)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | (~nextState(constB107, constB108)) | ((~v102(constB108)) <=> v104(constB108)))),
% 15.13/10.34 inference(rewrite,[status(thm)],[])).
% 15.13/10.34 tff(15518,plain,
% 15.13/10.34 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | ((~nextState(constB107, constB108)) | ((~v102(constB108)) <=> v104(constB108)))),
% 15.13/10.34 inference(quant_inst,[status(thm)],[])).
% 15.13/10.34 tff(15519,plain,
% 15.13/10.34 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | (~nextState(constB107, constB108)) | ((~v102(constB108)) <=> v104(constB108))),
% 15.13/10.34 inference(modus_ponens,[status(thm)],[15518, 15517])).
% 15.13/10.34 tff(15520,plain,
% 15.13/10.34 ((~v102(constB108)) <=> v104(constB108)),
% 15.13/10.34 inference(unit_resolution,[status(thm)],[15519, 15505, 512])).
% 15.13/10.34 tff(15521,plain,
% 15.13/10.34 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB107, constB108)) | (v104(constB108) <=> v1(constB107)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | (~nextState(constB107, constB108)) | (v104(constB108) <=> v1(constB107)))),
% 15.13/10.34 inference(rewrite,[status(thm)],[])).
% 15.13/10.34 tff(15522,plain,
% 15.13/10.34 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB107, constB108)) | (v104(constB108) <=> v1(constB107)))),
% 15.13/10.34 inference(quant_inst,[status(thm)],[])).
% 15.13/10.34 tff(15523,plain,
% 15.13/10.34 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | (~nextState(constB107, constB108)) | (v104(constB108) <=> v1(constB107))),
% 15.13/10.34 inference(modus_ponens,[status(thm)],[15522, 15521])).
% 15.13/10.34 tff(15524,plain,
% 15.13/10.34 (v104(constB108) <=> v1(constB107)),
% 15.13/10.34 inference(unit_resolution,[status(thm)],[15523, 15505, 526])).
% 15.13/10.34 tff(15525,plain,
% 15.13/10.34 ((~v1(constB107)) <=> (~v1(constB107))),
% 15.13/10.34 inference(rewrite,[status(thm)],[])).
% 15.13/10.34 tff(15526,axiom,(~v1(constB107)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_107')).
% 15.13/10.34 tff(15527,plain,
% 15.13/10.34 (~v1(constB107)),
% 15.13/10.34 inference(modus_ponens,[status(thm)],[15526, 15525])).
% 15.13/10.34 tff(15528,plain,
% 15.13/10.34 ((~(v104(constB108) <=> v1(constB107))) | (~v104(constB108)) | v1(constB107)),
% 15.13/10.34 inference(tautology,[status(thm)],[])).
% 15.13/10.34 tff(15529,plain,
% 15.13/10.34 ((~(v104(constB108) <=> v1(constB107))) | (~v104(constB108))),
% 15.13/10.34 inference(unit_resolution,[status(thm)],[15528, 15527])).
% 15.13/10.34 tff(15530,plain,
% 15.13/10.34 (~v104(constB108)),
% 15.13/10.34 inference(unit_resolution,[status(thm)],[15529, 15524])).
% 15.13/10.34 tff(15531,plain,
% 15.13/10.34 ((~((~v102(constB108)) <=> v104(constB108))) | v102(constB108) | v104(constB108)),
% 15.13/10.34 inference(tautology,[status(thm)],[])).
% 15.13/10.34 tff(15532,plain,
% 15.13/10.34 (v102(constB108)),
% 15.13/10.34 inference(unit_resolution,[status(thm)],[15531, 15530, 15520])).
% 15.13/10.34 tff(15533,plain,
% 15.13/10.34 (v1(constB108) <=> v1(constB108)),
% 15.13/10.34 inference(rewrite,[status(thm)],[])).
% 15.13/10.34 tff(15534,axiom,(v1(constB108)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_108')).
% 15.13/10.34 tff(15535,plain,
% 15.13/10.34 (v1(constB108)),
% 15.13/10.34 inference(modus_ponens,[status(thm)],[15534, 15533])).
% 15.13/10.34 tff(15536,plain,
% 15.13/10.34 ((~((~v1(constB108)) | (~v102(constB108)))) | (~v1(constB108)) | (~v102(constB108))),
% 15.13/10.34 inference(tautology,[status(thm)],[])).
% 15.13/10.34 tff(15537,plain,
% 15.13/10.34 ((~((~v1(constB108)) | (~v102(constB108)))) | (~v102(constB108))),
% 15.13/10.34 inference(unit_resolution,[status(thm)],[15536, 15535])).
% 15.13/10.34 tff(15538,plain,
% 15.13/10.34 (~((~v1(constB108)) | (~v102(constB108)))),
% 15.13/10.34 inference(unit_resolution,[status(thm)],[15537, 15532])).
% 15.13/10.34 tff(15539,plain,
% 15.13/10.34 ((~(v101(constB108) <=> (~((~v1(constB108)) | (~v102(constB108)))))) | v101(constB108) | ((~v1(constB108)) | (~v102(constB108)))),
% 15.13/10.34 inference(tautology,[status(thm)],[])).
% 15.13/10.34 tff(15540,plain,
% 15.13/10.34 (v101(constB108)),
% 15.13/10.34 inference(unit_resolution,[status(thm)],[15539, 15538, 15516])).
% 15.13/10.34 tff(15541,plain,
% 15.13/10.34 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | ((~nextState(constB107, constB108)) | (v110(constB108) <=> v108(constB107)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | (~nextState(constB107, constB108)) | (v110(constB108) <=> v108(constB107)))),
% 15.13/10.34 inference(rewrite,[status(thm)],[])).
% 15.13/10.34 tff(15542,plain,
% 15.13/10.34 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | ((~nextState(constB107, constB108)) | (v110(constB108) <=> v108(constB107)))),
% 15.13/10.34 inference(quant_inst,[status(thm)],[])).
% 15.13/10.34 tff(15543,plain,
% 15.13/10.34 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | (~nextState(constB107, constB108)) | (v110(constB108) <=> v108(constB107))),
% 15.13/10.34 inference(modus_ponens,[status(thm)],[15542, 15541])).
% 15.13/10.34 tff(15544,plain,
% 15.13/10.34 (v110(constB108) <=> v108(constB107)),
% 15.13/10.34 inference(unit_resolution,[status(thm)],[15543, 15505, 556])).
% 15.13/10.34 tff(15545,plain,
% 15.13/10.34 ((~![VarCurr: $i] : (v108(VarCurr) <=> (v111(VarCurr) | v112(VarCurr)))) | (v108(constB107) <=> (v111(constB107) | v112(constB107)))),
% 15.13/10.34 inference(quant_inst,[status(thm)],[])).
% 15.13/10.34 tff(15546,plain,
% 15.13/10.34 (v108(constB107) <=> (v111(constB107) | v112(constB107))),
% 15.13/10.34 inference(unit_resolution,[status(thm)],[15545, 567])).
% 15.13/10.34 tff(15547,plain,
% 15.13/10.34 ((~![VarCurr: $i] : (v112(VarCurr) <=> (~((~v113(VarCurr)) | (~v126(VarCurr)))))) | (v112(constB107) <=> (~((~v113(constB107)) | (~v126(constB107)))))),
% 15.13/10.34 inference(quant_inst,[status(thm)],[])).
% 15.13/10.34 tff(15548,plain,
% 15.13/10.34 (v112(constB107) <=> (~((~v113(constB107)) | (~v126(constB107))))),
% 15.13/10.34 inference(unit_resolution,[status(thm)],[15547, 579])).
% 15.13/10.34 tff(15549,plain,
% 15.13/10.34 ((~![VarCurr: $i] : (v113(VarCurr) <=> (v114(VarCurr) | v125(VarCurr)))) | (v113(constB107) <=> (v114(constB107) | v125(constB107)))),
% 15.13/10.34 inference(quant_inst,[status(thm)],[])).
% 15.13/10.34 tff(15550,plain,
% 15.13/10.34 (v113(constB107) <=> (v114(constB107) | v125(constB107))),
% 15.13/10.34 inference(unit_resolution,[status(thm)],[15549, 588])).
% 15.13/10.34 tff(15551,plain,
% 15.13/10.34 ((~![VarCurr: $i] : (v114(VarCurr) <=> (v115(VarCurr) | v124(VarCurr)))) | (v114(constB107) <=> (v115(constB107) | v124(constB107)))),
% 15.13/10.34 inference(quant_inst,[status(thm)],[])).
% 15.13/10.34 tff(15552,plain,
% 15.13/10.34 (v114(constB107) <=> (v115(constB107) | v124(constB107))),
% 15.13/10.34 inference(unit_resolution,[status(thm)],[15551, 597])).
% 15.13/10.34 tff(15553,plain,
% 15.13/10.34 ((~![VarCurr: $i] : (v115(VarCurr) <=> (v116(VarCurr) | v123(VarCurr)))) | (v115(constB107) <=> (v116(constB107) | v123(constB107)))),
% 15.13/10.34 inference(quant_inst,[status(thm)],[])).
% 15.13/10.34 tff(15554,plain,
% 15.13/10.34 (v115(constB107) <=> (v116(constB107) | v123(constB107))),
% 15.13/10.34 inference(unit_resolution,[status(thm)],[15553, 606])).
% 15.13/10.34 tff(15555,plain,
% 15.13/10.34 ((~![VarCurr: $i] : (v116(VarCurr) <=> (v117(VarCurr) | v122(VarCurr)))) | (v116(constB107) <=> (v117(constB107) | v122(constB107)))),
% 15.13/10.34 inference(quant_inst,[status(thm)],[])).
% 15.13/10.34 tff(15556,plain,
% 15.13/10.34 (v116(constB107) <=> (v117(constB107) | v122(constB107))),
% 15.13/10.34 inference(unit_resolution,[status(thm)],[15555, 719])).
% 15.13/10.34 tff(15557,plain,
% 15.13/10.34 ((~![VarCurr: $i] : (v117(VarCurr) <=> (v118(VarCurr) | v121(VarCurr)))) | (v117(constB107) <=> (v118(constB107) | v121(constB107)))),
% 15.13/10.34 inference(quant_inst,[status(thm)],[])).
% 15.13/10.34 tff(15558,plain,
% 15.13/10.34 (v117(constB107) <=> (v118(constB107) | v121(constB107))),
% 15.13/10.34 inference(unit_resolution,[status(thm)],[15557, 834])).
% 15.13/10.34 tff(15559,plain,
% 15.13/10.34 ((~![VarCurr: $i] : (v118(VarCurr) <=> (v119(VarCurr) | v120(VarCurr)))) | (v118(constB107) <=> (v119(constB107) | v120(constB107)))),
% 15.13/10.34 inference(quant_inst,[status(thm)],[])).
% 15.13/10.34 tff(15560,plain,
% 15.13/10.34 (v118(constB107) <=> (v119(constB107) | v120(constB107))),
% 15.13/10.34 inference(unit_resolution,[status(thm)],[15559, 951])).
% 15.13/10.34 tff(15561,plain,
% 15.13/10.34 (((~![VarCurr: $i] : (v120(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)))))) | (v120(constB107) <=> (~(v90(constB107, bitIndex2) | v90(constB107, bitIndex1) | (~v90(constB107, bitIndex0)))))) <=> ((~![VarCurr: $i] : (v120(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)))))) | (v120(constB107) <=> (~(v90(constB107, bitIndex2) | v90(constB107, bitIndex1) | (~v90(constB107, bitIndex0))))))),
% 15.13/10.34 inference(rewrite,[status(thm)],[])).
% 15.13/10.34 tff(15562,plain,
% 15.13/10.34 ((v120(constB107) <=> (~(v90(constB107, bitIndex1) | v90(constB107, bitIndex2) | (~v90(constB107, bitIndex0))))) <=> (v120(constB107) <=> (~(v90(constB107, bitIndex2) | v90(constB107, bitIndex1) | (~v90(constB107, bitIndex0)))))),
% 15.13/10.34 inference(rewrite,[status(thm)],[])).
% 15.13/10.34 tff(15563,plain,
% 15.13/10.34 (((~![VarCurr: $i] : (v120(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)))))) | (v120(constB107) <=> (~(v90(constB107, bitIndex1) | v90(constB107, bitIndex2) | (~v90(constB107, bitIndex0)))))) <=> ((~![VarCurr: $i] : (v120(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)))))) | (v120(constB107) <=> (~(v90(constB107, bitIndex2) | v90(constB107, bitIndex1) | (~v90(constB107, bitIndex0))))))),
% 15.13/10.34 inference(monotonicity,[status(thm)],[15562])).
% 15.13/10.34 tff(15564,plain,
% 15.13/10.34 (((~![VarCurr: $i] : (v120(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)))))) | (v120(constB107) <=> (~(v90(constB107, bitIndex1) | v90(constB107, bitIndex2) | (~v90(constB107, bitIndex0)))))) <=> ((~![VarCurr: $i] : (v120(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)))))) | (v120(constB107) <=> (~(v90(constB107, bitIndex2) | v90(constB107, bitIndex1) | (~v90(constB107, bitIndex0))))))),
% 15.13/10.34 inference(transitivity,[status(thm)],[15563, 15561])).
% 15.13/10.34 tff(15565,plain,
% 15.13/10.34 ((~![VarCurr: $i] : (v120(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)))))) | (v120(constB107) <=> (~(v90(constB107, bitIndex1) | v90(constB107, bitIndex2) | (~v90(constB107, bitIndex0)))))),
% 15.13/10.34 inference(quant_inst,[status(thm)],[])).
% 15.13/10.34 tff(15566,plain,
% 15.13/10.34 ((~![VarCurr: $i] : (v120(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)))))) | (v120(constB107) <=> (~(v90(constB107, bitIndex2) | v90(constB107, bitIndex1) | (~v90(constB107, bitIndex0)))))),
% 15.13/10.34 inference(modus_ponens,[status(thm)],[15565, 15564])).
% 15.13/10.34 tff(15567,plain,
% 15.13/10.34 (v120(constB107) <=> (~(v90(constB107, bitIndex2) | v90(constB107, bitIndex1) | (~v90(constB107, bitIndex0))))),
% 15.13/10.34 inference(unit_resolution,[status(thm)],[15566, 966])).
% 15.13/10.34 tff(15568,plain,
% 15.13/10.34 (nextState(constB106, constB107) <=> nextState(constB106, constB107)),
% 15.13/10.34 inference(rewrite,[status(thm)],[])).
% 15.13/10.34 tff(15569,axiom,(nextState(constB106, constB107)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_106')).
% 15.13/10.34 tff(15570,plain,
% 15.13/10.34 (nextState(constB106, constB107)),
% 15.13/10.34 inference(modus_ponens,[status(thm)],[15569, 15568])).
% 15.13/10.34 tff(15571,plain,
% 15.13/10.34 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB106, constB107)) | (v100(constB107) <=> (~((~v101(constB107)) | (~v110(constB107))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB106, constB107)) | (v100(constB107) <=> (~((~v101(constB107)) | (~v110(constB107))))))),
% 15.13/10.34 inference(rewrite,[status(thm)],[])).
% 15.13/10.34 tff(15572,plain,
% 15.13/10.34 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB106, constB107)) | (v100(constB107) <=> (~((~v101(constB107)) | (~v110(constB107))))))),
% 15.13/10.34 inference(quant_inst,[status(thm)],[])).
% 15.13/10.34 tff(15573,plain,
% 15.13/10.34 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB106, constB107)) | (v100(constB107) <=> (~((~v101(constB107)) | (~v110(constB107)))))),
% 15.13/10.34 inference(modus_ponens,[status(thm)],[15572, 15571])).
% 15.13/10.34 tff(15574,plain,
% 15.13/10.34 (v100(constB107) <=> (~((~v101(constB107)) | (~v110(constB107))))),
% 15.13/10.34 inference(unit_resolution,[status(thm)],[15573, 15570, 430])).
% 15.13/10.34 tff(15575,plain,
% 15.13/10.34 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB106, constB107)) | (v101(constB107) <=> (~((~v1(constB107)) | (~v102(constB107))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB106, constB107)) | (v101(constB107) <=> (~((~v1(constB107)) | (~v102(constB107))))))),
% 15.13/10.34 inference(rewrite,[status(thm)],[])).
% 15.13/10.34 tff(15576,plain,
% 15.13/10.34 (((~nextState(constB106, constB107)) | (v101(constB107) <=> (~((~v102(constB107)) | (~v1(constB107)))))) <=> ((~nextState(constB106, constB107)) | (v101(constB107) <=> (~((~v1(constB107)) | (~v102(constB107))))))),
% 15.13/10.34 inference(rewrite,[status(thm)],[])).
% 15.13/10.34 tff(15577,plain,
% 15.13/10.34 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB106, constB107)) | (v101(constB107) <=> (~((~v102(constB107)) | (~v1(constB107))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB106, constB107)) | (v101(constB107) <=> (~((~v1(constB107)) | (~v102(constB107)))))))),
% 15.13/10.34 inference(monotonicity,[status(thm)],[15576])).
% 15.13/10.34 tff(15578,plain,
% 15.13/10.34 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB106, constB107)) | (v101(constB107) <=> (~((~v102(constB107)) | (~v1(constB107))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB106, constB107)) | (v101(constB107) <=> (~((~v1(constB107)) | (~v102(constB107))))))),
% 15.13/10.34 inference(transitivity,[status(thm)],[15577, 15575])).
% 15.13/10.34 tff(15579,plain,
% 15.13/10.34 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB106, constB107)) | (v101(constB107) <=> (~((~v102(constB107)) | (~v1(constB107))))))),
% 15.13/10.34 inference(quant_inst,[status(thm)],[])).
% 15.13/10.34 tff(15580,plain,
% 15.13/10.34 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB106, constB107)) | (v101(constB107) <=> (~((~v1(constB107)) | (~v102(constB107)))))),
% 15.13/10.34 inference(modus_ponens,[status(thm)],[15579, 15578])).
% 15.13/10.34 tff(15581,plain,
% 15.13/10.34 (v101(constB107) <=> (~((~v1(constB107)) | (~v102(constB107))))),
% 15.13/10.34 inference(unit_resolution,[status(thm)],[15580, 15570, 450])).
% 15.13/10.34 tff(15582,plain,
% 15.13/10.34 (((~v1(constB107)) | (~v102(constB107))) | v1(constB107)),
% 15.13/10.34 inference(tautology,[status(thm)],[])).
% 15.13/10.34 tff(15583,plain,
% 15.13/10.34 ((~v1(constB107)) | (~v102(constB107))),
% 15.13/10.34 inference(unit_resolution,[status(thm)],[15582, 15527])).
% 15.13/10.34 tff(15584,plain,
% 15.13/10.34 ((~(v101(constB107) <=> (~((~v1(constB107)) | (~v102(constB107)))))) | (~v101(constB107)) | (~((~v1(constB107)) | (~v102(constB107))))),
% 15.13/10.34 inference(tautology,[status(thm)],[])).
% 15.13/10.34 tff(15585,plain,
% 15.13/10.34 ((~(v101(constB107) <=> (~((~v1(constB107)) | (~v102(constB107)))))) | (~v101(constB107))),
% 15.13/10.34 inference(unit_resolution,[status(thm)],[15584, 15583])).
% 15.13/10.34 tff(15586,plain,
% 15.13/10.34 (~v101(constB107)),
% 15.13/10.34 inference(unit_resolution,[status(thm)],[15585, 15581])).
% 15.13/10.34 tff(15587,plain,
% 15.13/10.34 (((~v101(constB107)) | (~v110(constB107))) | v101(constB107)),
% 15.13/10.34 inference(tautology,[status(thm)],[])).
% 15.13/10.34 tff(15588,plain,
% 15.13/10.34 ((~v101(constB107)) | (~v110(constB107))),
% 15.13/10.34 inference(unit_resolution,[status(thm)],[15587, 15586])).
% 15.13/10.34 tff(15589,plain,
% 15.13/10.34 ((~(v100(constB107) <=> (~((~v101(constB107)) | (~v110(constB107)))))) | (~v100(constB107)) | (~((~v101(constB107)) | (~v110(constB107))))),
% 15.13/10.34 inference(tautology,[status(thm)],[])).
% 15.13/10.34 tff(15590,plain,
% 15.13/10.34 (~v100(constB107)),
% 15.13/10.34 inference(unit_resolution,[status(thm)],[15589, 15588, 15574])).
% 15.13/10.34 tff(15591,plain,
% 15.13/10.34 (((~![VarCurr: $i, VarNext: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v90(VarCurr, B))))) | (v100(constB107) | (~nextState(constB106, constB107)) | ![B: $i] : ((~less_3(B)) | (v90(constB107, B) <=> v90(constB106, B))))) <=> ((~![VarCurr: $i, VarNext: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v90(VarCurr, B))))) | v100(constB107) | (~nextState(constB106, constB107)) | ![B: $i] : ((~less_3(B)) | (v90(constB107, B) <=> v90(constB106, B))))),
% 15.13/10.34 inference(rewrite,[status(thm)],[])).
% 15.13/10.34 tff(15592,plain,
% 15.13/10.34 ((~![VarCurr: $i, VarNext: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v90(VarCurr, B))))) | (v100(constB107) | (~nextState(constB106, constB107)) | ![B: $i] : ((~less_3(B)) | (v90(constB107, B) <=> v90(constB106, B))))),
% 15.13/10.34 inference(quant_inst,[status(thm)],[])).
% 15.13/10.34 tff(15593,plain,
% 15.13/10.34 ((~![VarCurr: $i, VarNext: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v90(VarCurr, B))))) | v100(constB107) | (~nextState(constB106, constB107)) | ![B: $i] : ((~less_3(B)) | (v90(constB107, B) <=> v90(constB106, B)))),
% 15.13/10.34 inference(modus_ponens,[status(thm)],[15592, 15591])).
% 15.13/10.34 tff(15594,plain,
% 15.13/10.34 (v100(constB107) | ![B: $i] : ((~less_3(B)) | (v90(constB107, B) <=> v90(constB106, B)))),
% 15.13/10.34 inference(unit_resolution,[status(thm)],[15593, 15570, 479])).
% 15.13/10.34 tff(15595,plain,
% 15.13/10.34 (![B: $i] : ((~less_3(B)) | (v90(constB107, B) <=> v90(constB106, B)))),
% 15.13/10.34 inference(unit_resolution,[status(thm)],[15594, 15590])).
% 15.13/10.34 tff(15596,plain,
% 15.13/10.34 (((~![B: $i] : ((~less_3(B)) | (v90(constB107, B) <=> v90(constB106, B)))) | ((~less_3(bitIndex2)) | (v90(constB107, bitIndex2) <=> v90(constB106, bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v90(constB107, B) <=> v90(constB106, B)))) | (~less_3(bitIndex2)) | (v90(constB107, bitIndex2) <=> v90(constB106, bitIndex2)))),
% 15.13/10.34 inference(rewrite,[status(thm)],[])).
% 15.13/10.34 tff(15597,plain,
% 15.13/10.34 ((~![B: $i] : ((~less_3(B)) | (v90(constB107, B) <=> v90(constB106, B)))) | ((~less_3(bitIndex2)) | (v90(constB107, bitIndex2) <=> v90(constB106, bitIndex2)))),
% 15.13/10.34 inference(quant_inst,[status(thm)],[])).
% 15.13/10.34 tff(15598,plain,
% 15.13/10.34 ((~![B: $i] : ((~less_3(B)) | (v90(constB107, B) <=> v90(constB106, B)))) | (~less_3(bitIndex2)) | (v90(constB107, bitIndex2) <=> v90(constB106, bitIndex2))),
% 15.13/10.34 inference(modus_ponens,[status(thm)],[15597, 15596])).
% 15.13/10.34 tff(15599,plain,
% 15.13/10.34 (v90(constB107, bitIndex2) <=> v90(constB106, bitIndex2)),
% 15.13/10.34 inference(unit_resolution,[status(thm)],[15598, 413, 15595])).
% 15.13/10.34 tff(15600,plain,
% 15.13/10.34 (nextState(constB105, constB106) <=> nextState(constB105, constB106)),
% 15.13/10.34 inference(rewrite,[status(thm)],[])).
% 15.13/10.34 tff(15601,axiom,(nextState(constB105, constB106)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_105')).
% 15.13/10.34 tff(15602,plain,
% 15.13/10.34 (nextState(constB105, constB106)),
% 15.13/10.34 inference(modus_ponens,[status(thm)],[15601, 15600])).
% 15.13/10.34 tff(15603,plain,
% 15.13/10.34 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB105, constB106)) | (v100(constB106) <=> (~((~v101(constB106)) | (~v110(constB106))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB105, constB106)) | (v100(constB106) <=> (~((~v101(constB106)) | (~v110(constB106))))))),
% 15.13/10.35 inference(rewrite,[status(thm)],[])).
% 15.13/10.35 tff(15604,plain,
% 15.13/10.35 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB105, constB106)) | (v100(constB106) <=> (~((~v101(constB106)) | (~v110(constB106))))))),
% 15.13/10.35 inference(quant_inst,[status(thm)],[])).
% 15.13/10.35 tff(15605,plain,
% 15.13/10.35 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB105, constB106)) | (v100(constB106) <=> (~((~v101(constB106)) | (~v110(constB106)))))),
% 15.13/10.35 inference(modus_ponens,[status(thm)],[15604, 15603])).
% 15.13/10.35 tff(15606,plain,
% 15.13/10.35 (v100(constB106) <=> (~((~v101(constB106)) | (~v110(constB106))))),
% 15.13/10.35 inference(unit_resolution,[status(thm)],[15605, 15602, 430])).
% 15.13/10.35 tff(15607,plain,
% 15.13/10.35 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB105, constB106)) | (v101(constB106) <=> (~((~v1(constB106)) | (~v102(constB106))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB105, constB106)) | (v101(constB106) <=> (~((~v1(constB106)) | (~v102(constB106))))))),
% 15.13/10.35 inference(rewrite,[status(thm)],[])).
% 15.13/10.35 tff(15608,plain,
% 15.13/10.35 (((~nextState(constB105, constB106)) | (v101(constB106) <=> (~((~v102(constB106)) | (~v1(constB106)))))) <=> ((~nextState(constB105, constB106)) | (v101(constB106) <=> (~((~v1(constB106)) | (~v102(constB106))))))),
% 15.13/10.35 inference(rewrite,[status(thm)],[])).
% 15.13/10.35 tff(15609,plain,
% 15.13/10.35 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB105, constB106)) | (v101(constB106) <=> (~((~v102(constB106)) | (~v1(constB106))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB105, constB106)) | (v101(constB106) <=> (~((~v1(constB106)) | (~v102(constB106)))))))),
% 15.13/10.35 inference(monotonicity,[status(thm)],[15608])).
% 15.13/10.35 tff(15610,plain,
% 15.13/10.35 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB105, constB106)) | (v101(constB106) <=> (~((~v102(constB106)) | (~v1(constB106))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB105, constB106)) | (v101(constB106) <=> (~((~v1(constB106)) | (~v102(constB106))))))),
% 15.13/10.35 inference(transitivity,[status(thm)],[15609, 15607])).
% 15.13/10.35 tff(15611,plain,
% 15.13/10.35 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB105, constB106)) | (v101(constB106) <=> (~((~v102(constB106)) | (~v1(constB106))))))),
% 15.13/10.35 inference(quant_inst,[status(thm)],[])).
% 15.13/10.35 tff(15612,plain,
% 15.13/10.35 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB105, constB106)) | (v101(constB106) <=> (~((~v1(constB106)) | (~v102(constB106)))))),
% 15.13/10.35 inference(modus_ponens,[status(thm)],[15611, 15610])).
% 15.13/10.35 tff(15613,plain,
% 15.13/10.35 (v101(constB106) <=> (~((~v1(constB106)) | (~v102(constB106))))),
% 15.13/10.35 inference(unit_resolution,[status(thm)],[15612, 15602, 450])).
% 15.13/10.35 tff(15614,plain,
% 15.13/10.35 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | ((~nextState(constB105, constB106)) | ((~v102(constB106)) <=> v104(constB106)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | (~nextState(constB105, constB106)) | ((~v102(constB106)) <=> v104(constB106)))),
% 15.13/10.35 inference(rewrite,[status(thm)],[])).
% 15.13/10.35 tff(15615,plain,
% 15.13/10.35 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | ((~nextState(constB105, constB106)) | ((~v102(constB106)) <=> v104(constB106)))),
% 15.13/10.35 inference(quant_inst,[status(thm)],[])).
% 15.13/10.35 tff(15616,plain,
% 15.13/10.35 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | (~nextState(constB105, constB106)) | ((~v102(constB106)) <=> v104(constB106))),
% 15.13/10.35 inference(modus_ponens,[status(thm)],[15615, 15614])).
% 15.13/10.35 tff(15617,plain,
% 15.13/10.35 ((~v102(constB106)) <=> v104(constB106)),
% 15.13/10.35 inference(unit_resolution,[status(thm)],[15616, 15602, 512])).
% 15.13/10.35 tff(15618,plain,
% 15.13/10.35 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB105, constB106)) | (v104(constB106) <=> v1(constB105)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | (~nextState(constB105, constB106)) | (v104(constB106) <=> v1(constB105)))),
% 15.13/10.35 inference(rewrite,[status(thm)],[])).
% 15.13/10.35 tff(15619,plain,
% 15.13/10.35 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB105, constB106)) | (v104(constB106) <=> v1(constB105)))),
% 15.13/10.35 inference(quant_inst,[status(thm)],[])).
% 15.13/10.35 tff(15620,plain,
% 15.13/10.35 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | (~nextState(constB105, constB106)) | (v104(constB106) <=> v1(constB105))),
% 15.13/10.35 inference(modus_ponens,[status(thm)],[15619, 15618])).
% 15.13/10.35 tff(15621,plain,
% 15.13/10.35 (v104(constB106) <=> v1(constB105)),
% 15.13/10.35 inference(unit_resolution,[status(thm)],[15620, 15602, 526])).
% 15.13/10.35 tff(15622,plain,
% 15.13/10.35 ((~v1(constB105)) <=> (~v1(constB105))),
% 15.13/10.35 inference(rewrite,[status(thm)],[])).
% 15.13/10.35 tff(15623,axiom,(~v1(constB105)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_105')).
% 15.13/10.35 tff(15624,plain,
% 15.13/10.35 (~v1(constB105)),
% 15.13/10.35 inference(modus_ponens,[status(thm)],[15623, 15622])).
% 15.13/10.35 tff(15625,plain,
% 15.13/10.35 ((~(v104(constB106) <=> v1(constB105))) | (~v104(constB106)) | v1(constB105)),
% 15.13/10.35 inference(tautology,[status(thm)],[])).
% 15.13/10.35 tff(15626,plain,
% 15.13/10.35 ((~(v104(constB106) <=> v1(constB105))) | (~v104(constB106))),
% 15.13/10.35 inference(unit_resolution,[status(thm)],[15625, 15624])).
% 15.13/10.35 tff(15627,plain,
% 15.13/10.35 (~v104(constB106)),
% 15.13/10.35 inference(unit_resolution,[status(thm)],[15626, 15621])).
% 15.13/10.35 tff(15628,plain,
% 15.13/10.35 ((~((~v102(constB106)) <=> v104(constB106))) | v102(constB106) | v104(constB106)),
% 15.13/10.35 inference(tautology,[status(thm)],[])).
% 15.13/10.35 tff(15629,plain,
% 15.13/10.35 (v102(constB106)),
% 15.13/10.35 inference(unit_resolution,[status(thm)],[15628, 15627, 15617])).
% 15.13/10.35 tff(15630,plain,
% 15.13/10.35 (v1(constB106) <=> v1(constB106)),
% 15.13/10.35 inference(rewrite,[status(thm)],[])).
% 15.13/10.35 tff(15631,axiom,(v1(constB106)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_106')).
% 15.13/10.35 tff(15632,plain,
% 15.13/10.35 (v1(constB106)),
% 15.13/10.35 inference(modus_ponens,[status(thm)],[15631, 15630])).
% 15.13/10.35 tff(15633,plain,
% 15.13/10.35 ((~((~v1(constB106)) | (~v102(constB106)))) | (~v1(constB106)) | (~v102(constB106))),
% 15.13/10.35 inference(tautology,[status(thm)],[])).
% 15.13/10.35 tff(15634,plain,
% 15.13/10.35 ((~((~v1(constB106)) | (~v102(constB106)))) | (~v102(constB106))),
% 15.13/10.35 inference(unit_resolution,[status(thm)],[15633, 15632])).
% 15.13/10.35 tff(15635,plain,
% 15.13/10.35 (~((~v1(constB106)) | (~v102(constB106)))),
% 15.13/10.35 inference(unit_resolution,[status(thm)],[15634, 15629])).
% 15.13/10.35 tff(15636,plain,
% 15.13/10.35 ((~(v101(constB106) <=> (~((~v1(constB106)) | (~v102(constB106)))))) | v101(constB106) | ((~v1(constB106)) | (~v102(constB106)))),
% 15.13/10.35 inference(tautology,[status(thm)],[])).
% 15.13/10.35 tff(15637,plain,
% 15.13/10.35 (v101(constB106)),
% 15.13/10.35 inference(unit_resolution,[status(thm)],[15636, 15635, 15613])).
% 15.13/10.35 tff(15638,plain,
% 15.13/10.35 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | ((~nextState(constB105, constB106)) | (v110(constB106) <=> v108(constB105)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | (~nextState(constB105, constB106)) | (v110(constB106) <=> v108(constB105)))),
% 15.13/10.35 inference(rewrite,[status(thm)],[])).
% 15.13/10.35 tff(15639,plain,
% 15.13/10.35 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | ((~nextState(constB105, constB106)) | (v110(constB106) <=> v108(constB105)))),
% 15.13/10.35 inference(quant_inst,[status(thm)],[])).
% 15.13/10.35 tff(15640,plain,
% 15.13/10.35 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | (~nextState(constB105, constB106)) | (v110(constB106) <=> v108(constB105))),
% 15.13/10.35 inference(modus_ponens,[status(thm)],[15639, 15638])).
% 15.13/10.35 tff(15641,plain,
% 15.13/10.35 (v110(constB106) <=> v108(constB105)),
% 15.13/10.35 inference(unit_resolution,[status(thm)],[15640, 15602, 556])).
% 15.13/10.35 tff(15642,plain,
% 15.13/10.35 ((~![VarCurr: $i] : (v108(VarCurr) <=> (v111(VarCurr) | v112(VarCurr)))) | (v108(constB105) <=> (v111(constB105) | v112(constB105)))),
% 15.13/10.35 inference(quant_inst,[status(thm)],[])).
% 15.13/10.35 tff(15643,plain,
% 15.13/10.35 (v108(constB105) <=> (v111(constB105) | v112(constB105))),
% 15.13/10.35 inference(unit_resolution,[status(thm)],[15642, 567])).
% 15.13/10.35 tff(15644,plain,
% 15.13/10.35 ((~![VarCurr: $i] : (v112(VarCurr) <=> (~((~v113(VarCurr)) | (~v126(VarCurr)))))) | (v112(constB105) <=> (~((~v113(constB105)) | (~v126(constB105)))))),
% 15.13/10.35 inference(quant_inst,[status(thm)],[])).
% 15.13/10.35 tff(15645,plain,
% 15.13/10.35 (v112(constB105) <=> (~((~v113(constB105)) | (~v126(constB105))))),
% 15.13/10.35 inference(unit_resolution,[status(thm)],[15644, 579])).
% 15.13/10.35 tff(15646,plain,
% 15.13/10.35 ((~![VarCurr: $i] : (v113(VarCurr) <=> (v114(VarCurr) | v125(VarCurr)))) | (v113(constB105) <=> (v114(constB105) | v125(constB105)))),
% 15.13/10.35 inference(quant_inst,[status(thm)],[])).
% 15.13/10.35 tff(15647,plain,
% 15.13/10.35 (v113(constB105) <=> (v114(constB105) | v125(constB105))),
% 15.13/10.35 inference(unit_resolution,[status(thm)],[15646, 588])).
% 15.13/10.35 tff(15648,plain,
% 15.13/10.35 (((~![VarCurr: $i] : (v125(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2)))))) | (v125(constB105) <=> (~((~v90(constB105, bitIndex2)) | (~v90(constB105, bitIndex1)) | v90(constB105, bitIndex0))))) <=> ((~![VarCurr: $i] : (v125(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2)))))) | (v125(constB105) <=> (~((~v90(constB105, bitIndex2)) | (~v90(constB105, bitIndex1)) | v90(constB105, bitIndex0)))))),
% 15.13/10.35 inference(rewrite,[status(thm)],[])).
% 15.13/10.35 tff(15649,plain,
% 15.13/10.35 ((v125(constB105) <=> (~(v90(constB105, bitIndex0) | (~v90(constB105, bitIndex1)) | (~v90(constB105, bitIndex2))))) <=> (v125(constB105) <=> (~((~v90(constB105, bitIndex2)) | (~v90(constB105, bitIndex1)) | v90(constB105, bitIndex0))))),
% 15.13/10.35 inference(rewrite,[status(thm)],[])).
% 15.13/10.35 tff(15650,plain,
% 15.13/10.35 (((~![VarCurr: $i] : (v125(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2)))))) | (v125(constB105) <=> (~(v90(constB105, bitIndex0) | (~v90(constB105, bitIndex1)) | (~v90(constB105, bitIndex2)))))) <=> ((~![VarCurr: $i] : (v125(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2)))))) | (v125(constB105) <=> (~((~v90(constB105, bitIndex2)) | (~v90(constB105, bitIndex1)) | v90(constB105, bitIndex0)))))),
% 15.13/10.35 inference(monotonicity,[status(thm)],[15649])).
% 15.13/10.35 tff(15651,plain,
% 15.13/10.35 (((~![VarCurr: $i] : (v125(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2)))))) | (v125(constB105) <=> (~(v90(constB105, bitIndex0) | (~v90(constB105, bitIndex1)) | (~v90(constB105, bitIndex2)))))) <=> ((~![VarCurr: $i] : (v125(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2)))))) | (v125(constB105) <=> (~((~v90(constB105, bitIndex2)) | (~v90(constB105, bitIndex1)) | v90(constB105, bitIndex0)))))),
% 15.13/10.35 inference(transitivity,[status(thm)],[15650, 15648])).
% 15.13/10.35 tff(15652,plain,
% 15.13/10.35 ((~![VarCurr: $i] : (v125(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2)))))) | (v125(constB105) <=> (~(v90(constB105, bitIndex0) | (~v90(constB105, bitIndex1)) | (~v90(constB105, bitIndex2)))))),
% 15.13/10.35 inference(quant_inst,[status(thm)],[])).
% 15.13/10.35 tff(15653,plain,
% 15.13/10.35 ((~![VarCurr: $i] : (v125(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2)))))) | (v125(constB105) <=> (~((~v90(constB105, bitIndex2)) | (~v90(constB105, bitIndex1)) | v90(constB105, bitIndex0))))),
% 15.13/10.35 inference(modus_ponens,[status(thm)],[15652, 15651])).
% 15.13/10.35 tff(15654,plain,
% 15.13/10.35 (v125(constB105) <=> (~((~v90(constB105, bitIndex2)) | (~v90(constB105, bitIndex1)) | v90(constB105, bitIndex0)))),
% 15.13/10.35 inference(unit_resolution,[status(thm)],[15653, 1066])).
% 15.13/10.35 tff(15655,plain,
% 15.13/10.35 (nextState(constB104, constB105) <=> nextState(constB104, constB105)),
% 15.13/10.35 inference(rewrite,[status(thm)],[])).
% 15.13/10.35 tff(15656,axiom,(nextState(constB104, constB105)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_104')).
% 15.13/10.35 tff(15657,plain,
% 15.13/10.35 (nextState(constB104, constB105)),
% 15.13/10.35 inference(modus_ponens,[status(thm)],[15656, 15655])).
% 15.13/10.35 tff(15658,plain,
% 15.13/10.35 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB104, constB105)) | (v100(constB105) <=> (~((~v101(constB105)) | (~v110(constB105))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB104, constB105)) | (v100(constB105) <=> (~((~v101(constB105)) | (~v110(constB105))))))),
% 15.13/10.35 inference(rewrite,[status(thm)],[])).
% 15.13/10.35 tff(15659,plain,
% 15.13/10.35 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB104, constB105)) | (v100(constB105) <=> (~((~v101(constB105)) | (~v110(constB105))))))),
% 15.13/10.35 inference(quant_inst,[status(thm)],[])).
% 15.13/10.35 tff(15660,plain,
% 15.13/10.35 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB104, constB105)) | (v100(constB105) <=> (~((~v101(constB105)) | (~v110(constB105)))))),
% 15.13/10.35 inference(modus_ponens,[status(thm)],[15659, 15658])).
% 15.13/10.35 tff(15661,plain,
% 15.13/10.35 (v100(constB105) <=> (~((~v101(constB105)) | (~v110(constB105))))),
% 15.13/10.35 inference(unit_resolution,[status(thm)],[15660, 15657, 430])).
% 15.13/10.35 tff(15662,plain,
% 15.13/10.35 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB104, constB105)) | (v101(constB105) <=> (~((~v1(constB105)) | (~v102(constB105))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB104, constB105)) | (v101(constB105) <=> (~((~v1(constB105)) | (~v102(constB105))))))),
% 15.13/10.35 inference(rewrite,[status(thm)],[])).
% 15.13/10.35 tff(15663,plain,
% 15.13/10.35 (((~nextState(constB104, constB105)) | (v101(constB105) <=> (~((~v102(constB105)) | (~v1(constB105)))))) <=> ((~nextState(constB104, constB105)) | (v101(constB105) <=> (~((~v1(constB105)) | (~v102(constB105))))))),
% 15.13/10.35 inference(rewrite,[status(thm)],[])).
% 15.13/10.35 tff(15664,plain,
% 15.13/10.35 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB104, constB105)) | (v101(constB105) <=> (~((~v102(constB105)) | (~v1(constB105))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB104, constB105)) | (v101(constB105) <=> (~((~v1(constB105)) | (~v102(constB105)))))))),
% 15.13/10.35 inference(monotonicity,[status(thm)],[15663])).
% 15.13/10.35 tff(15665,plain,
% 15.13/10.35 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB104, constB105)) | (v101(constB105) <=> (~((~v102(constB105)) | (~v1(constB105))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB104, constB105)) | (v101(constB105) <=> (~((~v1(constB105)) | (~v102(constB105))))))),
% 15.13/10.35 inference(transitivity,[status(thm)],[15664, 15662])).
% 15.13/10.35 tff(15666,plain,
% 15.13/10.35 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB104, constB105)) | (v101(constB105) <=> (~((~v102(constB105)) | (~v1(constB105))))))),
% 15.13/10.35 inference(quant_inst,[status(thm)],[])).
% 15.13/10.35 tff(15667,plain,
% 15.13/10.35 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB104, constB105)) | (v101(constB105) <=> (~((~v1(constB105)) | (~v102(constB105)))))),
% 15.13/10.35 inference(modus_ponens,[status(thm)],[15666, 15665])).
% 15.13/10.35 tff(15668,plain,
% 15.13/10.35 (v101(constB105) <=> (~((~v1(constB105)) | (~v102(constB105))))),
% 15.13/10.35 inference(unit_resolution,[status(thm)],[15667, 15657, 450])).
% 15.13/10.35 tff(15669,plain,
% 15.13/10.35 (((~v1(constB105)) | (~v102(constB105))) | v1(constB105)),
% 15.13/10.35 inference(tautology,[status(thm)],[])).
% 15.13/10.35 tff(15670,plain,
% 15.13/10.35 ((~v1(constB105)) | (~v102(constB105))),
% 15.13/10.35 inference(unit_resolution,[status(thm)],[15669, 15624])).
% 15.13/10.35 tff(15671,plain,
% 15.13/10.35 ((~(v101(constB105) <=> (~((~v1(constB105)) | (~v102(constB105)))))) | (~v101(constB105)) | (~((~v1(constB105)) | (~v102(constB105))))),
% 15.13/10.35 inference(tautology,[status(thm)],[])).
% 15.13/10.35 tff(15672,plain,
% 15.13/10.35 ((~(v101(constB105) <=> (~((~v1(constB105)) | (~v102(constB105)))))) | (~v101(constB105))),
% 15.13/10.35 inference(unit_resolution,[status(thm)],[15671, 15670])).
% 15.13/10.35 tff(15673,plain,
% 15.13/10.35 (~v101(constB105)),
% 15.13/10.35 inference(unit_resolution,[status(thm)],[15672, 15668])).
% 15.13/10.35 tff(15674,plain,
% 15.13/10.35 (((~v101(constB105)) | (~v110(constB105))) | v101(constB105)),
% 15.13/10.35 inference(tautology,[status(thm)],[])).
% 15.13/10.35 tff(15675,plain,
% 15.13/10.35 ((~v101(constB105)) | (~v110(constB105))),
% 15.13/10.35 inference(unit_resolution,[status(thm)],[15674, 15673])).
% 15.13/10.35 tff(15676,plain,
% 15.13/10.35 ((~(v100(constB105) <=> (~((~v101(constB105)) | (~v110(constB105)))))) | (~v100(constB105)) | (~((~v101(constB105)) | (~v110(constB105))))),
% 15.13/10.35 inference(tautology,[status(thm)],[])).
% 15.13/10.35 tff(15677,plain,
% 15.13/10.35 (~v100(constB105)),
% 15.13/10.35 inference(unit_resolution,[status(thm)],[15676, 15675, 15661])).
% 15.13/10.35 tff(15678,plain,
% 15.13/10.35 (((~![VarCurr: $i, VarNext: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v90(VarCurr, B))))) | (v100(constB105) | (~nextState(constB104, constB105)) | ![B: $i] : ((~less_3(B)) | (v90(constB105, B) <=> v90(constB104, B))))) <=> ((~![VarCurr: $i, VarNext: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v90(VarCurr, B))))) | v100(constB105) | (~nextState(constB104, constB105)) | ![B: $i] : ((~less_3(B)) | (v90(constB105, B) <=> v90(constB104, B))))),
% 15.13/10.35 inference(rewrite,[status(thm)],[])).
% 15.13/10.35 tff(15679,plain,
% 15.13/10.35 ((~![VarCurr: $i, VarNext: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v90(VarCurr, B))))) | (v100(constB105) | (~nextState(constB104, constB105)) | ![B: $i] : ((~less_3(B)) | (v90(constB105, B) <=> v90(constB104, B))))),
% 15.13/10.35 inference(quant_inst,[status(thm)],[])).
% 15.13/10.35 tff(15680,plain,
% 15.13/10.35 ((~![VarCurr: $i, VarNext: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v90(VarCurr, B))))) | v100(constB105) | (~nextState(constB104, constB105)) | ![B: $i] : ((~less_3(B)) | (v90(constB105, B) <=> v90(constB104, B)))),
% 15.13/10.35 inference(modus_ponens,[status(thm)],[15679, 15678])).
% 15.13/10.35 tff(15681,plain,
% 15.13/10.35 (v100(constB105) | ![B: $i] : ((~less_3(B)) | (v90(constB105, B) <=> v90(constB104, B)))),
% 15.13/10.35 inference(unit_resolution,[status(thm)],[15680, 15657, 479])).
% 15.13/10.35 tff(15682,plain,
% 15.13/10.35 (![B: $i] : ((~less_3(B)) | (v90(constB105, B) <=> v90(constB104, B)))),
% 15.13/10.35 inference(unit_resolution,[status(thm)],[15681, 15677])).
% 15.13/10.35 tff(15683,plain,
% 15.13/10.35 (((~![B: $i] : ((~less_3(B)) | (v90(constB105, B) <=> v90(constB104, B)))) | ((~less_3(bitIndex2)) | (v90(constB105, bitIndex2) <=> v90(constB104, bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v90(constB105, B) <=> v90(constB104, B)))) | (~less_3(bitIndex2)) | (v90(constB105, bitIndex2) <=> v90(constB104, bitIndex2)))),
% 15.13/10.35 inference(rewrite,[status(thm)],[])).
% 15.13/10.35 tff(15684,plain,
% 15.13/10.35 ((~![B: $i] : ((~less_3(B)) | (v90(constB105, B) <=> v90(constB104, B)))) | ((~less_3(bitIndex2)) | (v90(constB105, bitIndex2) <=> v90(constB104, bitIndex2)))),
% 15.13/10.35 inference(quant_inst,[status(thm)],[])).
% 15.13/10.35 tff(15685,plain,
% 15.13/10.35 ((~![B: $i] : ((~less_3(B)) | (v90(constB105, B) <=> v90(constB104, B)))) | (~less_3(bitIndex2)) | (v90(constB105, bitIndex2) <=> v90(constB104, bitIndex2))),
% 15.13/10.35 inference(modus_ponens,[status(thm)],[15684, 15683])).
% 15.13/10.35 tff(15686,plain,
% 15.13/10.35 (v90(constB105, bitIndex2) <=> v90(constB104, bitIndex2)),
% 15.13/10.35 inference(unit_resolution,[status(thm)],[15685, 413, 15682])).
% 15.13/10.35 tff(15687,plain,
% 15.13/10.35 (nextState(constB103, constB104) <=> nextState(constB103, constB104)),
% 15.13/10.35 inference(rewrite,[status(thm)],[])).
% 15.13/10.35 tff(15688,axiom,(nextState(constB103, constB104)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_103')).
% 15.13/10.35 tff(15689,plain,
% 15.13/10.35 (nextState(constB103, constB104)),
% 15.13/10.35 inference(modus_ponens,[status(thm)],[15688, 15687])).
% 15.13/10.35 tff(15690,plain,
% 15.13/10.35 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB103, constB104)) | (v100(constB104) <=> (~((~v101(constB104)) | (~v110(constB104))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB103, constB104)) | (v100(constB104) <=> (~((~v101(constB104)) | (~v110(constB104))))))),
% 15.13/10.35 inference(rewrite,[status(thm)],[])).
% 15.13/10.35 tff(15691,plain,
% 15.13/10.35 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB103, constB104)) | (v100(constB104) <=> (~((~v101(constB104)) | (~v110(constB104))))))),
% 15.13/10.35 inference(quant_inst,[status(thm)],[])).
% 15.13/10.35 tff(15692,plain,
% 15.13/10.35 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB103, constB104)) | (v100(constB104) <=> (~((~v101(constB104)) | (~v110(constB104)))))),
% 15.13/10.35 inference(modus_ponens,[status(thm)],[15691, 15690])).
% 15.13/10.35 tff(15693,plain,
% 15.13/10.35 (v100(constB104) <=> (~((~v101(constB104)) | (~v110(constB104))))),
% 15.13/10.35 inference(unit_resolution,[status(thm)],[15692, 15689, 430])).
% 15.13/10.35 tff(15694,plain,
% 15.13/10.35 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB103, constB104)) | (v101(constB104) <=> (~((~v1(constB104)) | (~v102(constB104))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB103, constB104)) | (v101(constB104) <=> (~((~v1(constB104)) | (~v102(constB104))))))),
% 15.13/10.35 inference(rewrite,[status(thm)],[])).
% 15.13/10.35 tff(15695,plain,
% 15.13/10.35 (((~nextState(constB103, constB104)) | (v101(constB104) <=> (~((~v102(constB104)) | (~v1(constB104)))))) <=> ((~nextState(constB103, constB104)) | (v101(constB104) <=> (~((~v1(constB104)) | (~v102(constB104))))))),
% 15.13/10.35 inference(rewrite,[status(thm)],[])).
% 15.13/10.35 tff(15696,plain,
% 15.13/10.35 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB103, constB104)) | (v101(constB104) <=> (~((~v102(constB104)) | (~v1(constB104))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB103, constB104)) | (v101(constB104) <=> (~((~v1(constB104)) | (~v102(constB104)))))))),
% 15.13/10.35 inference(monotonicity,[status(thm)],[15695])).
% 15.13/10.35 tff(15697,plain,
% 15.13/10.35 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB103, constB104)) | (v101(constB104) <=> (~((~v102(constB104)) | (~v1(constB104))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB103, constB104)) | (v101(constB104) <=> (~((~v1(constB104)) | (~v102(constB104))))))),
% 15.13/10.35 inference(transitivity,[status(thm)],[15696, 15694])).
% 15.13/10.35 tff(15698,plain,
% 15.13/10.35 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB103, constB104)) | (v101(constB104) <=> (~((~v102(constB104)) | (~v1(constB104))))))),
% 15.13/10.35 inference(quant_inst,[status(thm)],[])).
% 15.13/10.35 tff(15699,plain,
% 15.13/10.35 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB103, constB104)) | (v101(constB104) <=> (~((~v1(constB104)) | (~v102(constB104)))))),
% 15.13/10.35 inference(modus_ponens,[status(thm)],[15698, 15697])).
% 15.13/10.35 tff(15700,plain,
% 15.13/10.35 (v101(constB104) <=> (~((~v1(constB104)) | (~v102(constB104))))),
% 15.13/10.35 inference(unit_resolution,[status(thm)],[15699, 15689, 450])).
% 15.13/10.35 tff(15701,plain,
% 15.13/10.35 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | ((~nextState(constB103, constB104)) | ((~v102(constB104)) <=> v104(constB104)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | (~nextState(constB103, constB104)) | ((~v102(constB104)) <=> v104(constB104)))),
% 15.13/10.35 inference(rewrite,[status(thm)],[])).
% 15.13/10.35 tff(15702,plain,
% 15.13/10.35 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | ((~nextState(constB103, constB104)) | ((~v102(constB104)) <=> v104(constB104)))),
% 15.13/10.35 inference(quant_inst,[status(thm)],[])).
% 15.13/10.35 tff(15703,plain,
% 15.13/10.35 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | (~nextState(constB103, constB104)) | ((~v102(constB104)) <=> v104(constB104))),
% 15.13/10.35 inference(modus_ponens,[status(thm)],[15702, 15701])).
% 15.13/10.35 tff(15704,plain,
% 15.13/10.35 ((~v102(constB104)) <=> v104(constB104)),
% 15.13/10.35 inference(unit_resolution,[status(thm)],[15703, 15689, 512])).
% 15.13/10.35 tff(15705,plain,
% 15.13/10.35 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB103, constB104)) | (v104(constB104) <=> v1(constB103)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | (~nextState(constB103, constB104)) | (v104(constB104) <=> v1(constB103)))),
% 15.13/10.35 inference(rewrite,[status(thm)],[])).
% 15.13/10.35 tff(15706,plain,
% 15.13/10.35 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB103, constB104)) | (v104(constB104) <=> v1(constB103)))),
% 15.13/10.35 inference(quant_inst,[status(thm)],[])).
% 15.13/10.35 tff(15707,plain,
% 15.13/10.35 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | (~nextState(constB103, constB104)) | (v104(constB104) <=> v1(constB103))),
% 15.13/10.35 inference(modus_ponens,[status(thm)],[15706, 15705])).
% 15.13/10.35 tff(15708,plain,
% 15.13/10.35 (v104(constB104) <=> v1(constB103)),
% 15.13/10.35 inference(unit_resolution,[status(thm)],[15707, 15689, 526])).
% 15.13/10.35 tff(15709,plain,
% 15.13/10.35 ((~v1(constB103)) <=> (~v1(constB103))),
% 15.13/10.35 inference(rewrite,[status(thm)],[])).
% 15.13/10.35 tff(15710,axiom,(~v1(constB103)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_103')).
% 15.13/10.35 tff(15711,plain,
% 15.13/10.35 (~v1(constB103)),
% 15.13/10.35 inference(modus_ponens,[status(thm)],[15710, 15709])).
% 15.13/10.35 tff(15712,plain,
% 15.13/10.35 ((~(v104(constB104) <=> v1(constB103))) | (~v104(constB104)) | v1(constB103)),
% 15.13/10.35 inference(tautology,[status(thm)],[])).
% 15.13/10.35 tff(15713,plain,
% 15.13/10.35 ((~(v104(constB104) <=> v1(constB103))) | (~v104(constB104))),
% 15.13/10.35 inference(unit_resolution,[status(thm)],[15712, 15711])).
% 15.13/10.35 tff(15714,plain,
% 15.13/10.35 (~v104(constB104)),
% 15.13/10.35 inference(unit_resolution,[status(thm)],[15713, 15708])).
% 15.13/10.35 tff(15715,plain,
% 15.13/10.35 ((~((~v102(constB104)) <=> v104(constB104))) | v102(constB104) | v104(constB104)),
% 15.13/10.35 inference(tautology,[status(thm)],[])).
% 15.13/10.35 tff(15716,plain,
% 15.13/10.35 (v102(constB104)),
% 15.13/10.35 inference(unit_resolution,[status(thm)],[15715, 15714, 15704])).
% 15.13/10.35 tff(15717,plain,
% 15.13/10.35 (v1(constB104) <=> v1(constB104)),
% 15.13/10.35 inference(rewrite,[status(thm)],[])).
% 15.13/10.35 tff(15718,axiom,(v1(constB104)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_104')).
% 15.13/10.35 tff(15719,plain,
% 15.13/10.35 (v1(constB104)),
% 15.13/10.35 inference(modus_ponens,[status(thm)],[15718, 15717])).
% 15.13/10.35 tff(15720,plain,
% 15.13/10.35 ((~((~v1(constB104)) | (~v102(constB104)))) | (~v1(constB104)) | (~v102(constB104))),
% 15.13/10.35 inference(tautology,[status(thm)],[])).
% 15.13/10.35 tff(15721,plain,
% 15.13/10.35 ((~((~v1(constB104)) | (~v102(constB104)))) | (~v102(constB104))),
% 15.13/10.35 inference(unit_resolution,[status(thm)],[15720, 15719])).
% 15.13/10.35 tff(15722,plain,
% 15.13/10.35 (~((~v1(constB104)) | (~v102(constB104)))),
% 15.13/10.35 inference(unit_resolution,[status(thm)],[15721, 15716])).
% 15.13/10.35 tff(15723,plain,
% 15.13/10.35 ((~(v101(constB104) <=> (~((~v1(constB104)) | (~v102(constB104)))))) | v101(constB104) | ((~v1(constB104)) | (~v102(constB104)))),
% 15.13/10.35 inference(tautology,[status(thm)],[])).
% 15.13/10.35 tff(15724,plain,
% 15.13/10.35 (v101(constB104)),
% 15.13/10.35 inference(unit_resolution,[status(thm)],[15723, 15722, 15700])).
% 15.13/10.35 tff(15725,plain,
% 15.13/10.35 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | ((~nextState(constB103, constB104)) | (v110(constB104) <=> v108(constB103)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | (~nextState(constB103, constB104)) | (v110(constB104) <=> v108(constB103)))),
% 15.13/10.35 inference(rewrite,[status(thm)],[])).
% 15.13/10.35 tff(15726,plain,
% 15.13/10.35 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | ((~nextState(constB103, constB104)) | (v110(constB104) <=> v108(constB103)))),
% 15.13/10.35 inference(quant_inst,[status(thm)],[])).
% 15.13/10.35 tff(15727,plain,
% 15.13/10.35 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | (~nextState(constB103, constB104)) | (v110(constB104) <=> v108(constB103))),
% 15.13/10.35 inference(modus_ponens,[status(thm)],[15726, 15725])).
% 15.13/10.35 tff(15728,plain,
% 15.13/10.35 (v110(constB104) <=> v108(constB103)),
% 15.13/10.35 inference(unit_resolution,[status(thm)],[15727, 15689, 556])).
% 15.13/10.35 tff(15729,plain,
% 15.13/10.35 ((~![VarCurr: $i] : (v108(VarCurr) <=> (v111(VarCurr) | v112(VarCurr)))) | (v108(constB103) <=> (v111(constB103) | v112(constB103)))),
% 15.13/10.35 inference(quant_inst,[status(thm)],[])).
% 15.13/10.35 tff(15730,plain,
% 15.13/10.35 (v108(constB103) <=> (v111(constB103) | v112(constB103))),
% 15.13/10.35 inference(unit_resolution,[status(thm)],[15729, 567])).
% 15.13/10.35 tff(15731,plain,
% 15.13/10.35 ((~![VarCurr: $i] : (v112(VarCurr) <=> (~((~v113(VarCurr)) | (~v126(VarCurr)))))) | (v112(constB103) <=> (~((~v113(constB103)) | (~v126(constB103)))))),
% 15.13/10.35 inference(quant_inst,[status(thm)],[])).
% 15.13/10.35 tff(15732,plain,
% 15.13/10.35 (v112(constB103) <=> (~((~v113(constB103)) | (~v126(constB103))))),
% 15.13/10.35 inference(unit_resolution,[status(thm)],[15731, 579])).
% 15.13/10.35 tff(15733,plain,
% 15.13/10.35 ((~![VarCurr: $i] : (v113(VarCurr) <=> (v114(VarCurr) | v125(VarCurr)))) | (v113(constB103) <=> (v114(constB103) | v125(constB103)))),
% 15.13/10.35 inference(quant_inst,[status(thm)],[])).
% 15.13/10.35 tff(15734,plain,
% 15.13/10.35 (v113(constB103) <=> (v114(constB103) | v125(constB103))),
% 15.13/10.36 inference(unit_resolution,[status(thm)],[15733, 588])).
% 15.13/10.36 tff(15735,plain,
% 15.13/10.36 ((~![VarCurr: $i] : (v114(VarCurr) <=> (v115(VarCurr) | v124(VarCurr)))) | (v114(constB103) <=> (v115(constB103) | v124(constB103)))),
% 15.13/10.36 inference(quant_inst,[status(thm)],[])).
% 15.13/10.36 tff(15736,plain,
% 15.13/10.36 (v114(constB103) <=> (v115(constB103) | v124(constB103))),
% 15.13/10.36 inference(unit_resolution,[status(thm)],[15735, 597])).
% 15.13/10.36 tff(15737,plain,
% 15.13/10.36 ((~![VarCurr: $i] : (v115(VarCurr) <=> (v116(VarCurr) | v123(VarCurr)))) | (v115(constB103) <=> (v116(constB103) | v123(constB103)))),
% 15.13/10.36 inference(quant_inst,[status(thm)],[])).
% 15.13/10.36 tff(15738,plain,
% 15.13/10.36 (v115(constB103) <=> (v116(constB103) | v123(constB103))),
% 15.13/10.36 inference(unit_resolution,[status(thm)],[15737, 606])).
% 15.13/10.36 tff(15739,plain,
% 15.13/10.36 (((~![VarCurr: $i] : (v123(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)))))) | (v123(constB103) <=> (~((~v90(constB103, bitIndex2)) | v90(constB103, bitIndex1) | v90(constB103, bitIndex0))))) <=> ((~![VarCurr: $i] : (v123(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)))))) | (v123(constB103) <=> (~((~v90(constB103, bitIndex2)) | v90(constB103, bitIndex1) | v90(constB103, bitIndex0)))))),
% 15.13/10.36 inference(rewrite,[status(thm)],[])).
% 15.13/10.36 tff(15740,plain,
% 15.13/10.36 ((v123(constB103) <=> (~(v90(constB103, bitIndex0) | v90(constB103, bitIndex1) | (~v90(constB103, bitIndex2))))) <=> (v123(constB103) <=> (~((~v90(constB103, bitIndex2)) | v90(constB103, bitIndex1) | v90(constB103, bitIndex0))))),
% 15.13/10.36 inference(rewrite,[status(thm)],[])).
% 15.13/10.36 tff(15741,plain,
% 15.13/10.36 (((~![VarCurr: $i] : (v123(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)))))) | (v123(constB103) <=> (~(v90(constB103, bitIndex0) | v90(constB103, bitIndex1) | (~v90(constB103, bitIndex2)))))) <=> ((~![VarCurr: $i] : (v123(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)))))) | (v123(constB103) <=> (~((~v90(constB103, bitIndex2)) | v90(constB103, bitIndex1) | v90(constB103, bitIndex0)))))),
% 15.13/10.36 inference(monotonicity,[status(thm)],[15740])).
% 15.13/10.36 tff(15742,plain,
% 15.13/10.36 (((~![VarCurr: $i] : (v123(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)))))) | (v123(constB103) <=> (~(v90(constB103, bitIndex0) | v90(constB103, bitIndex1) | (~v90(constB103, bitIndex2)))))) <=> ((~![VarCurr: $i] : (v123(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)))))) | (v123(constB103) <=> (~((~v90(constB103, bitIndex2)) | v90(constB103, bitIndex1) | v90(constB103, bitIndex0)))))),
% 15.13/10.36 inference(transitivity,[status(thm)],[15741, 15739])).
% 15.13/10.36 tff(15743,plain,
% 15.13/10.36 ((~![VarCurr: $i] : (v123(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)))))) | (v123(constB103) <=> (~(v90(constB103, bitIndex0) | v90(constB103, bitIndex1) | (~v90(constB103, bitIndex2)))))),
% 15.13/10.36 inference(quant_inst,[status(thm)],[])).
% 15.13/10.36 tff(15744,plain,
% 15.13/10.36 ((~![VarCurr: $i] : (v123(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)))))) | (v123(constB103) <=> (~((~v90(constB103, bitIndex2)) | v90(constB103, bitIndex1) | v90(constB103, bitIndex0))))),
% 15.13/10.36 inference(modus_ponens,[status(thm)],[15743, 15742])).
% 15.13/10.36 tff(15745,plain,
% 15.13/10.36 (v123(constB103) <=> (~((~v90(constB103, bitIndex2)) | v90(constB103, bitIndex1) | v90(constB103, bitIndex0)))),
% 15.13/10.36 inference(unit_resolution,[status(thm)],[15744, 621])).
% 15.13/10.36 tff(15746,plain,
% 15.13/10.36 (nextState(constB102, constB103) <=> nextState(constB102, constB103)),
% 15.13/10.36 inference(rewrite,[status(thm)],[])).
% 15.13/10.36 tff(15747,axiom,(nextState(constB102, constB103)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_102')).
% 15.13/10.36 tff(15748,plain,
% 15.13/10.36 (nextState(constB102, constB103)),
% 15.13/10.36 inference(modus_ponens,[status(thm)],[15747, 15746])).
% 15.13/10.36 tff(15749,plain,
% 15.13/10.36 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB102, constB103)) | (v100(constB103) <=> (~((~v101(constB103)) | (~v110(constB103))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB102, constB103)) | (v100(constB103) <=> (~((~v101(constB103)) | (~v110(constB103))))))),
% 15.13/10.36 inference(rewrite,[status(thm)],[])).
% 15.13/10.36 tff(15750,plain,
% 15.13/10.36 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB102, constB103)) | (v100(constB103) <=> (~((~v101(constB103)) | (~v110(constB103))))))),
% 15.13/10.36 inference(quant_inst,[status(thm)],[])).
% 15.13/10.36 tff(15751,plain,
% 15.13/10.36 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB102, constB103)) | (v100(constB103) <=> (~((~v101(constB103)) | (~v110(constB103)))))),
% 15.13/10.36 inference(modus_ponens,[status(thm)],[15750, 15749])).
% 15.13/10.36 tff(15752,plain,
% 15.13/10.36 (v100(constB103) <=> (~((~v101(constB103)) | (~v110(constB103))))),
% 15.13/10.36 inference(unit_resolution,[status(thm)],[15751, 15748, 430])).
% 15.13/10.36 tff(15753,plain,
% 15.13/10.36 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB102, constB103)) | (v101(constB103) <=> (~((~v1(constB103)) | (~v102(constB103))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB102, constB103)) | (v101(constB103) <=> (~((~v1(constB103)) | (~v102(constB103))))))),
% 15.13/10.36 inference(rewrite,[status(thm)],[])).
% 15.13/10.36 tff(15754,plain,
% 15.13/10.36 (((~nextState(constB102, constB103)) | (v101(constB103) <=> (~((~v102(constB103)) | (~v1(constB103)))))) <=> ((~nextState(constB102, constB103)) | (v101(constB103) <=> (~((~v1(constB103)) | (~v102(constB103))))))),
% 15.13/10.36 inference(rewrite,[status(thm)],[])).
% 15.13/10.36 tff(15755,plain,
% 15.13/10.36 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB102, constB103)) | (v101(constB103) <=> (~((~v102(constB103)) | (~v1(constB103))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB102, constB103)) | (v101(constB103) <=> (~((~v1(constB103)) | (~v102(constB103)))))))),
% 15.13/10.36 inference(monotonicity,[status(thm)],[15754])).
% 15.13/10.36 tff(15756,plain,
% 15.13/10.36 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB102, constB103)) | (v101(constB103) <=> (~((~v102(constB103)) | (~v1(constB103))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB102, constB103)) | (v101(constB103) <=> (~((~v1(constB103)) | (~v102(constB103))))))),
% 15.13/10.36 inference(transitivity,[status(thm)],[15755, 15753])).
% 15.13/10.36 tff(15757,plain,
% 15.13/10.36 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB102, constB103)) | (v101(constB103) <=> (~((~v102(constB103)) | (~v1(constB103))))))),
% 15.13/10.36 inference(quant_inst,[status(thm)],[])).
% 15.13/10.36 tff(15758,plain,
% 15.13/10.36 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB102, constB103)) | (v101(constB103) <=> (~((~v1(constB103)) | (~v102(constB103)))))),
% 15.13/10.36 inference(modus_ponens,[status(thm)],[15757, 15756])).
% 15.13/10.36 tff(15759,plain,
% 15.13/10.36 (v101(constB103) <=> (~((~v1(constB103)) | (~v102(constB103))))),
% 15.13/10.36 inference(unit_resolution,[status(thm)],[15758, 15748, 450])).
% 15.13/10.36 tff(15760,plain,
% 15.13/10.36 (((~v1(constB103)) | (~v102(constB103))) | v1(constB103)),
% 15.13/10.36 inference(tautology,[status(thm)],[])).
% 15.13/10.36 tff(15761,plain,
% 15.13/10.36 ((~v1(constB103)) | (~v102(constB103))),
% 15.13/10.36 inference(unit_resolution,[status(thm)],[15760, 15711])).
% 15.13/10.36 tff(15762,plain,
% 15.13/10.36 ((~(v101(constB103) <=> (~((~v1(constB103)) | (~v102(constB103)))))) | (~v101(constB103)) | (~((~v1(constB103)) | (~v102(constB103))))),
% 15.13/10.36 inference(tautology,[status(thm)],[])).
% 15.13/10.36 tff(15763,plain,
% 15.13/10.36 ((~(v101(constB103) <=> (~((~v1(constB103)) | (~v102(constB103)))))) | (~v101(constB103))),
% 15.13/10.36 inference(unit_resolution,[status(thm)],[15762, 15761])).
% 15.13/10.36 tff(15764,plain,
% 15.13/10.36 (~v101(constB103)),
% 15.13/10.36 inference(unit_resolution,[status(thm)],[15763, 15759])).
% 15.13/10.36 tff(15765,plain,
% 15.13/10.36 (((~v101(constB103)) | (~v110(constB103))) | v101(constB103)),
% 15.13/10.36 inference(tautology,[status(thm)],[])).
% 15.13/10.36 tff(15766,plain,
% 15.13/10.36 ((~v101(constB103)) | (~v110(constB103))),
% 15.13/10.36 inference(unit_resolution,[status(thm)],[15765, 15764])).
% 15.13/10.36 tff(15767,plain,
% 15.13/10.36 ((~(v100(constB103) <=> (~((~v101(constB103)) | (~v110(constB103)))))) | (~v100(constB103)) | (~((~v101(constB103)) | (~v110(constB103))))),
% 15.13/10.36 inference(tautology,[status(thm)],[])).
% 15.13/10.36 tff(15768,plain,
% 15.13/10.36 (~v100(constB103)),
% 15.13/10.36 inference(unit_resolution,[status(thm)],[15767, 15766, 15752])).
% 15.13/10.36 tff(15769,plain,
% 15.13/10.36 (((~![VarCurr: $i, VarNext: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v90(VarCurr, B))))) | (v100(constB103) | (~nextState(constB102, constB103)) | ![B: $i] : ((~less_3(B)) | (v90(constB103, B) <=> v90(constB102, B))))) <=> ((~![VarCurr: $i, VarNext: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v90(VarCurr, B))))) | v100(constB103) | (~nextState(constB102, constB103)) | ![B: $i] : ((~less_3(B)) | (v90(constB103, B) <=> v90(constB102, B))))),
% 15.13/10.36 inference(rewrite,[status(thm)],[])).
% 15.13/10.36 tff(15770,plain,
% 15.13/10.36 ((~![VarCurr: $i, VarNext: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v90(VarCurr, B))))) | (v100(constB103) | (~nextState(constB102, constB103)) | ![B: $i] : ((~less_3(B)) | (v90(constB103, B) <=> v90(constB102, B))))),
% 15.13/10.36 inference(quant_inst,[status(thm)],[])).
% 15.13/10.36 tff(15771,plain,
% 15.13/10.36 ((~![VarCurr: $i, VarNext: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v90(VarCurr, B))))) | v100(constB103) | (~nextState(constB102, constB103)) | ![B: $i] : ((~less_3(B)) | (v90(constB103, B) <=> v90(constB102, B)))),
% 15.13/10.36 inference(modus_ponens,[status(thm)],[15770, 15769])).
% 15.13/10.36 tff(15772,plain,
% 15.13/10.36 (v100(constB103) | ![B: $i] : ((~less_3(B)) | (v90(constB103, B) <=> v90(constB102, B)))),
% 15.13/10.36 inference(unit_resolution,[status(thm)],[15771, 15748, 479])).
% 15.13/10.36 tff(15773,plain,
% 15.13/10.36 (![B: $i] : ((~less_3(B)) | (v90(constB103, B) <=> v90(constB102, B)))),
% 15.13/10.36 inference(unit_resolution,[status(thm)],[15772, 15768])).
% 15.13/10.36 tff(15774,plain,
% 15.13/10.36 (((~![B: $i] : ((~less_3(B)) | (v90(constB103, B) <=> v90(constB102, B)))) | ((~less_3(bitIndex2)) | (v90(constB103, bitIndex2) <=> v90(constB102, bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v90(constB103, B) <=> v90(constB102, B)))) | (~less_3(bitIndex2)) | (v90(constB103, bitIndex2) <=> v90(constB102, bitIndex2)))),
% 15.13/10.36 inference(rewrite,[status(thm)],[])).
% 15.13/10.36 tff(15775,plain,
% 15.13/10.36 ((~![B: $i] : ((~less_3(B)) | (v90(constB103, B) <=> v90(constB102, B)))) | ((~less_3(bitIndex2)) | (v90(constB103, bitIndex2) <=> v90(constB102, bitIndex2)))),
% 15.13/10.36 inference(quant_inst,[status(thm)],[])).
% 15.13/10.36 tff(15776,plain,
% 15.13/10.36 ((~![B: $i] : ((~less_3(B)) | (v90(constB103, B) <=> v90(constB102, B)))) | (~less_3(bitIndex2)) | (v90(constB103, bitIndex2) <=> v90(constB102, bitIndex2))),
% 15.13/10.36 inference(modus_ponens,[status(thm)],[15775, 15774])).
% 15.13/10.36 tff(15777,plain,
% 15.13/10.36 (v90(constB103, bitIndex2) <=> v90(constB102, bitIndex2)),
% 15.13/10.36 inference(unit_resolution,[status(thm)],[15776, 413, 15773])).
% 15.13/10.36 tff(15778,plain,
% 15.13/10.36 (nextState(constB101, constB102) <=> nextState(constB101, constB102)),
% 15.13/10.36 inference(rewrite,[status(thm)],[])).
% 15.13/10.36 tff(15779,axiom,(nextState(constB101, constB102)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_101')).
% 15.13/10.36 tff(15780,plain,
% 15.13/10.36 (nextState(constB101, constB102)),
% 15.13/10.36 inference(modus_ponens,[status(thm)],[15779, 15778])).
% 15.13/10.36 tff(15781,plain,
% 15.13/10.36 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB101, constB102)) | (v100(constB102) <=> (~((~v101(constB102)) | (~v110(constB102))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB101, constB102)) | (v100(constB102) <=> (~((~v101(constB102)) | (~v110(constB102))))))),
% 15.13/10.36 inference(rewrite,[status(thm)],[])).
% 15.13/10.36 tff(15782,plain,
% 15.13/10.36 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB101, constB102)) | (v100(constB102) <=> (~((~v101(constB102)) | (~v110(constB102))))))),
% 15.13/10.36 inference(quant_inst,[status(thm)],[])).
% 15.13/10.36 tff(15783,plain,
% 15.13/10.36 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB101, constB102)) | (v100(constB102) <=> (~((~v101(constB102)) | (~v110(constB102)))))),
% 15.13/10.36 inference(modus_ponens,[status(thm)],[15782, 15781])).
% 15.13/10.36 tff(15784,plain,
% 15.13/10.36 (v100(constB102) <=> (~((~v101(constB102)) | (~v110(constB102))))),
% 15.13/10.36 inference(unit_resolution,[status(thm)],[15783, 15780, 430])).
% 15.13/10.36 tff(15785,plain,
% 15.13/10.36 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB101, constB102)) | (v101(constB102) <=> (~((~v1(constB102)) | (~v102(constB102))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB101, constB102)) | (v101(constB102) <=> (~((~v1(constB102)) | (~v102(constB102))))))),
% 15.13/10.36 inference(rewrite,[status(thm)],[])).
% 15.13/10.36 tff(15786,plain,
% 15.13/10.36 (((~nextState(constB101, constB102)) | (v101(constB102) <=> (~((~v102(constB102)) | (~v1(constB102)))))) <=> ((~nextState(constB101, constB102)) | (v101(constB102) <=> (~((~v1(constB102)) | (~v102(constB102))))))),
% 15.13/10.36 inference(rewrite,[status(thm)],[])).
% 15.13/10.36 tff(15787,plain,
% 15.13/10.36 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB101, constB102)) | (v101(constB102) <=> (~((~v102(constB102)) | (~v1(constB102))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB101, constB102)) | (v101(constB102) <=> (~((~v1(constB102)) | (~v102(constB102)))))))),
% 15.13/10.36 inference(monotonicity,[status(thm)],[15786])).
% 15.13/10.36 tff(15788,plain,
% 15.13/10.36 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB101, constB102)) | (v101(constB102) <=> (~((~v102(constB102)) | (~v1(constB102))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB101, constB102)) | (v101(constB102) <=> (~((~v1(constB102)) | (~v102(constB102))))))),
% 15.13/10.36 inference(transitivity,[status(thm)],[15787, 15785])).
% 15.13/10.36 tff(15789,plain,
% 15.13/10.36 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB101, constB102)) | (v101(constB102) <=> (~((~v102(constB102)) | (~v1(constB102))))))),
% 15.13/10.36 inference(quant_inst,[status(thm)],[])).
% 15.13/10.36 tff(15790,plain,
% 15.13/10.36 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB101, constB102)) | (v101(constB102) <=> (~((~v1(constB102)) | (~v102(constB102)))))),
% 15.13/10.36 inference(modus_ponens,[status(thm)],[15789, 15788])).
% 15.13/10.36 tff(15791,plain,
% 15.13/10.36 (v101(constB102) <=> (~((~v1(constB102)) | (~v102(constB102))))),
% 15.13/10.36 inference(unit_resolution,[status(thm)],[15790, 15780, 450])).
% 15.13/10.36 tff(15792,plain,
% 15.13/10.36 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | ((~nextState(constB101, constB102)) | ((~v102(constB102)) <=> v104(constB102)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | (~nextState(constB101, constB102)) | ((~v102(constB102)) <=> v104(constB102)))),
% 15.13/10.36 inference(rewrite,[status(thm)],[])).
% 15.13/10.36 tff(15793,plain,
% 15.13/10.36 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | ((~nextState(constB101, constB102)) | ((~v102(constB102)) <=> v104(constB102)))),
% 15.13/10.36 inference(quant_inst,[status(thm)],[])).
% 15.13/10.36 tff(15794,plain,
% 15.13/10.36 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | (~nextState(constB101, constB102)) | ((~v102(constB102)) <=> v104(constB102))),
% 15.13/10.36 inference(modus_ponens,[status(thm)],[15793, 15792])).
% 15.13/10.36 tff(15795,plain,
% 15.13/10.36 ((~v102(constB102)) <=> v104(constB102)),
% 15.13/10.36 inference(unit_resolution,[status(thm)],[15794, 15780, 512])).
% 15.13/10.36 tff(15796,plain,
% 15.13/10.36 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB101, constB102)) | (v104(constB102) <=> v1(constB101)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | (~nextState(constB101, constB102)) | (v104(constB102) <=> v1(constB101)))),
% 15.13/10.36 inference(rewrite,[status(thm)],[])).
% 15.13/10.36 tff(15797,plain,
% 15.13/10.36 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB101, constB102)) | (v104(constB102) <=> v1(constB101)))),
% 15.13/10.36 inference(quant_inst,[status(thm)],[])).
% 15.13/10.36 tff(15798,plain,
% 15.13/10.36 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | (~nextState(constB101, constB102)) | (v104(constB102) <=> v1(constB101))),
% 15.13/10.36 inference(modus_ponens,[status(thm)],[15797, 15796])).
% 15.13/10.36 tff(15799,plain,
% 15.13/10.36 (v104(constB102) <=> v1(constB101)),
% 15.13/10.36 inference(unit_resolution,[status(thm)],[15798, 15780, 526])).
% 15.13/10.36 tff(15800,plain,
% 15.13/10.36 ((~v1(constB101)) <=> (~v1(constB101))),
% 15.13/10.36 inference(rewrite,[status(thm)],[])).
% 15.13/10.36 tff(15801,axiom,(~v1(constB101)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_101')).
% 15.13/10.36 tff(15802,plain,
% 15.13/10.36 (~v1(constB101)),
% 15.13/10.36 inference(modus_ponens,[status(thm)],[15801, 15800])).
% 15.13/10.36 tff(15803,plain,
% 15.13/10.36 ((~(v104(constB102) <=> v1(constB101))) | (~v104(constB102)) | v1(constB101)),
% 15.13/10.36 inference(tautology,[status(thm)],[])).
% 15.13/10.36 tff(15804,plain,
% 15.13/10.36 ((~(v104(constB102) <=> v1(constB101))) | (~v104(constB102))),
% 15.13/10.36 inference(unit_resolution,[status(thm)],[15803, 15802])).
% 15.13/10.36 tff(15805,plain,
% 15.13/10.36 (~v104(constB102)),
% 15.13/10.36 inference(unit_resolution,[status(thm)],[15804, 15799])).
% 15.13/10.36 tff(15806,plain,
% 15.13/10.36 ((~((~v102(constB102)) <=> v104(constB102))) | v102(constB102) | v104(constB102)),
% 15.13/10.36 inference(tautology,[status(thm)],[])).
% 15.13/10.36 tff(15807,plain,
% 15.13/10.36 (v102(constB102)),
% 15.13/10.36 inference(unit_resolution,[status(thm)],[15806, 15805, 15795])).
% 15.13/10.36 tff(15808,plain,
% 15.13/10.36 (v1(constB102) <=> v1(constB102)),
% 15.13/10.36 inference(rewrite,[status(thm)],[])).
% 15.13/10.36 tff(15809,axiom,(v1(constB102)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_102')).
% 15.13/10.36 tff(15810,plain,
% 15.13/10.36 (v1(constB102)),
% 15.13/10.36 inference(modus_ponens,[status(thm)],[15809, 15808])).
% 15.13/10.36 tff(15811,plain,
% 15.13/10.36 ((~((~v1(constB102)) | (~v102(constB102)))) | (~v1(constB102)) | (~v102(constB102))),
% 15.13/10.36 inference(tautology,[status(thm)],[])).
% 15.13/10.36 tff(15812,plain,
% 15.13/10.36 ((~((~v1(constB102)) | (~v102(constB102)))) | (~v102(constB102))),
% 15.13/10.36 inference(unit_resolution,[status(thm)],[15811, 15810])).
% 15.13/10.36 tff(15813,plain,
% 15.13/10.36 (~((~v1(constB102)) | (~v102(constB102)))),
% 15.13/10.36 inference(unit_resolution,[status(thm)],[15812, 15807])).
% 15.13/10.36 tff(15814,plain,
% 15.13/10.36 ((~(v101(constB102) <=> (~((~v1(constB102)) | (~v102(constB102)))))) | v101(constB102) | ((~v1(constB102)) | (~v102(constB102)))),
% 15.13/10.36 inference(tautology,[status(thm)],[])).
% 15.13/10.36 tff(15815,plain,
% 15.13/10.36 (v101(constB102)),
% 15.13/10.36 inference(unit_resolution,[status(thm)],[15814, 15813, 15791])).
% 15.13/10.36 tff(15816,plain,
% 15.13/10.36 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | ((~nextState(constB101, constB102)) | (v110(constB102) <=> v108(constB101)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | (~nextState(constB101, constB102)) | (v110(constB102) <=> v108(constB101)))),
% 15.13/10.36 inference(rewrite,[status(thm)],[])).
% 15.13/10.36 tff(15817,plain,
% 15.13/10.36 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | ((~nextState(constB101, constB102)) | (v110(constB102) <=> v108(constB101)))),
% 15.13/10.36 inference(quant_inst,[status(thm)],[])).
% 15.13/10.36 tff(15818,plain,
% 15.13/10.36 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | (~nextState(constB101, constB102)) | (v110(constB102) <=> v108(constB101))),
% 15.13/10.36 inference(modus_ponens,[status(thm)],[15817, 15816])).
% 15.13/10.36 tff(15819,plain,
% 15.13/10.36 (v110(constB102) <=> v108(constB101)),
% 15.13/10.36 inference(unit_resolution,[status(thm)],[15818, 15780, 556])).
% 15.13/10.36 tff(15820,plain,
% 15.13/10.36 ((~![VarCurr: $i] : (v108(VarCurr) <=> (v111(VarCurr) | v112(VarCurr)))) | (v108(constB101) <=> (v111(constB101) | v112(constB101)))),
% 15.13/10.36 inference(quant_inst,[status(thm)],[])).
% 15.13/10.36 tff(15821,plain,
% 15.13/10.36 (v108(constB101) <=> (v111(constB101) | v112(constB101))),
% 15.13/10.36 inference(unit_resolution,[status(thm)],[15820, 567])).
% 15.13/10.36 tff(15822,plain,
% 15.13/10.36 ((~![VarCurr: $i] : (v112(VarCurr) <=> (~((~v113(VarCurr)) | (~v126(VarCurr)))))) | (v112(constB101) <=> (~((~v113(constB101)) | (~v126(constB101)))))),
% 15.13/10.36 inference(quant_inst,[status(thm)],[])).
% 15.13/10.36 tff(15823,plain,
% 15.13/10.36 (v112(constB101) <=> (~((~v113(constB101)) | (~v126(constB101))))),
% 15.13/10.36 inference(unit_resolution,[status(thm)],[15822, 579])).
% 15.13/10.36 tff(15824,plain,
% 15.13/10.36 ((~![VarCurr: $i] : (v113(VarCurr) <=> (v114(VarCurr) | v125(VarCurr)))) | (v113(constB101) <=> (v114(constB101) | v125(constB101)))),
% 15.13/10.36 inference(quant_inst,[status(thm)],[])).
% 15.13/10.36 tff(15825,plain,
% 15.13/10.36 (v113(constB101) <=> (v114(constB101) | v125(constB101))),
% 15.13/10.36 inference(unit_resolution,[status(thm)],[15824, 588])).
% 15.13/10.36 tff(15826,plain,
% 15.13/10.36 ((~![VarCurr: $i] : (v114(VarCurr) <=> (v115(VarCurr) | v124(VarCurr)))) | (v114(constB101) <=> (v115(constB101) | v124(constB101)))),
% 15.13/10.36 inference(quant_inst,[status(thm)],[])).
% 15.13/10.36 tff(15827,plain,
% 15.13/10.36 (v114(constB101) <=> (v115(constB101) | v124(constB101))),
% 15.13/10.36 inference(unit_resolution,[status(thm)],[15826, 597])).
% 15.13/10.36 tff(15828,plain,
% 15.13/10.36 ((~![VarCurr: $i] : (v115(VarCurr) <=> (v116(VarCurr) | v123(VarCurr)))) | (v115(constB101) <=> (v116(constB101) | v123(constB101)))),
% 15.13/10.36 inference(quant_inst,[status(thm)],[])).
% 15.13/10.36 tff(15829,plain,
% 15.13/10.36 (v115(constB101) <=> (v116(constB101) | v123(constB101))),
% 15.13/10.36 inference(unit_resolution,[status(thm)],[15828, 606])).
% 15.13/10.36 tff(15830,plain,
% 15.13/10.36 ((~![VarCurr: $i] : (v116(VarCurr) <=> (v117(VarCurr) | v122(VarCurr)))) | (v116(constB101) <=> (v117(constB101) | v122(constB101)))),
% 15.13/10.36 inference(quant_inst,[status(thm)],[])).
% 15.13/10.36 tff(15831,plain,
% 15.13/10.36 (v116(constB101) <=> (v117(constB101) | v122(constB101))),
% 15.13/10.36 inference(unit_resolution,[status(thm)],[15830, 719])).
% 15.13/10.36 tff(15832,plain,
% 15.13/10.36 (((~![VarCurr: $i] : (v122(VarCurr) <=> (~(v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)))))) | (v122(constB101) <=> (~(v90(constB101, bitIndex2) | (~v90(constB101, bitIndex1)) | (~v90(constB101, bitIndex0)))))) <=> ((~![VarCurr: $i] : (v122(VarCurr) <=> (~(v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)))))) | (v122(constB101) <=> (~(v90(constB101, bitIndex2) | (~v90(constB101, bitIndex1)) | (~v90(constB101, bitIndex0))))))),
% 15.13/10.36 inference(rewrite,[status(thm)],[])).
% 15.13/10.36 tff(15833,plain,
% 15.13/10.36 ((v122(constB101) <=> (~(v90(constB101, bitIndex2) | (~v90(constB101, bitIndex0)) | (~v90(constB101, bitIndex1))))) <=> (v122(constB101) <=> (~(v90(constB101, bitIndex2) | (~v90(constB101, bitIndex1)) | (~v90(constB101, bitIndex0)))))),
% 15.13/10.36 inference(rewrite,[status(thm)],[])).
% 15.13/10.36 tff(15834,plain,
% 15.13/10.36 (((~![VarCurr: $i] : (v122(VarCurr) <=> (~(v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)))))) | (v122(constB101) <=> (~(v90(constB101, bitIndex2) | (~v90(constB101, bitIndex0)) | (~v90(constB101, bitIndex1)))))) <=> ((~![VarCurr: $i] : (v122(VarCurr) <=> (~(v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)))))) | (v122(constB101) <=> (~(v90(constB101, bitIndex2) | (~v90(constB101, bitIndex1)) | (~v90(constB101, bitIndex0))))))),
% 15.13/10.36 inference(monotonicity,[status(thm)],[15833])).
% 15.13/10.36 tff(15835,plain,
% 15.13/10.36 (((~![VarCurr: $i] : (v122(VarCurr) <=> (~(v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)))))) | (v122(constB101) <=> (~(v90(constB101, bitIndex2) | (~v90(constB101, bitIndex0)) | (~v90(constB101, bitIndex1)))))) <=> ((~![VarCurr: $i] : (v122(VarCurr) <=> (~(v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)))))) | (v122(constB101) <=> (~(v90(constB101, bitIndex2) | (~v90(constB101, bitIndex1)) | (~v90(constB101, bitIndex0))))))),
% 15.13/10.36 inference(transitivity,[status(thm)],[15834, 15832])).
% 15.13/10.36 tff(15836,plain,
% 15.13/10.36 ((~![VarCurr: $i] : (v122(VarCurr) <=> (~(v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)))))) | (v122(constB101) <=> (~(v90(constB101, bitIndex2) | (~v90(constB101, bitIndex0)) | (~v90(constB101, bitIndex1)))))),
% 15.13/10.36 inference(quant_inst,[status(thm)],[])).
% 15.13/10.36 tff(15837,plain,
% 15.13/10.36 ((~![VarCurr: $i] : (v122(VarCurr) <=> (~(v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)))))) | (v122(constB101) <=> (~(v90(constB101, bitIndex2) | (~v90(constB101, bitIndex1)) | (~v90(constB101, bitIndex0)))))),
% 15.13/10.36 inference(modus_ponens,[status(thm)],[15836, 15835])).
% 15.13/10.36 tff(15838,plain,
% 15.13/10.36 (v122(constB101) <=> (~(v90(constB101, bitIndex2) | (~v90(constB101, bitIndex1)) | (~v90(constB101, bitIndex0))))),
% 15.13/10.36 inference(unit_resolution,[status(thm)],[15837, 734])).
% 15.13/10.36 tff(15839,plain,
% 15.13/10.36 (nextState(constB100, constB101) <=> nextState(constB100, constB101)),
% 15.13/10.36 inference(rewrite,[status(thm)],[])).
% 15.13/10.36 tff(15840,axiom,(nextState(constB100, constB101)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_100')).
% 15.13/10.36 tff(15841,plain,
% 15.13/10.36 (nextState(constB100, constB101)),
% 15.13/10.36 inference(modus_ponens,[status(thm)],[15840, 15839])).
% 15.13/10.36 tff(15842,plain,
% 15.13/10.36 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB100, constB101)) | (v100(constB101) <=> (~((~v101(constB101)) | (~v110(constB101))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB100, constB101)) | (v100(constB101) <=> (~((~v101(constB101)) | (~v110(constB101))))))),
% 15.13/10.36 inference(rewrite,[status(thm)],[])).
% 15.13/10.36 tff(15843,plain,
% 15.13/10.36 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB100, constB101)) | (v100(constB101) <=> (~((~v101(constB101)) | (~v110(constB101))))))),
% 15.13/10.36 inference(quant_inst,[status(thm)],[])).
% 15.13/10.36 tff(15844,plain,
% 15.13/10.36 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB100, constB101)) | (v100(constB101) <=> (~((~v101(constB101)) | (~v110(constB101)))))),
% 15.13/10.36 inference(modus_ponens,[status(thm)],[15843, 15842])).
% 15.13/10.36 tff(15845,plain,
% 15.13/10.36 (v100(constB101) <=> (~((~v101(constB101)) | (~v110(constB101))))),
% 15.13/10.36 inference(unit_resolution,[status(thm)],[15844, 15841, 430])).
% 15.13/10.36 tff(15846,plain,
% 15.13/10.36 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB100, constB101)) | (v101(constB101) <=> (~((~v1(constB101)) | (~v102(constB101))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB100, constB101)) | (v101(constB101) <=> (~((~v1(constB101)) | (~v102(constB101))))))),
% 15.13/10.36 inference(rewrite,[status(thm)],[])).
% 15.13/10.36 tff(15847,plain,
% 15.13/10.36 (((~nextState(constB100, constB101)) | (v101(constB101) <=> (~((~v102(constB101)) | (~v1(constB101)))))) <=> ((~nextState(constB100, constB101)) | (v101(constB101) <=> (~((~v1(constB101)) | (~v102(constB101))))))),
% 15.13/10.36 inference(rewrite,[status(thm)],[])).
% 15.13/10.36 tff(15848,plain,
% 15.13/10.36 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB100, constB101)) | (v101(constB101) <=> (~((~v102(constB101)) | (~v1(constB101))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB100, constB101)) | (v101(constB101) <=> (~((~v1(constB101)) | (~v102(constB101)))))))),
% 15.13/10.36 inference(monotonicity,[status(thm)],[15847])).
% 15.13/10.36 tff(15849,plain,
% 15.13/10.36 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB100, constB101)) | (v101(constB101) <=> (~((~v102(constB101)) | (~v1(constB101))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB100, constB101)) | (v101(constB101) <=> (~((~v1(constB101)) | (~v102(constB101))))))),
% 15.13/10.36 inference(transitivity,[status(thm)],[15848, 15846])).
% 15.13/10.36 tff(15850,plain,
% 15.13/10.36 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB100, constB101)) | (v101(constB101) <=> (~((~v102(constB101)) | (~v1(constB101))))))),
% 15.13/10.36 inference(quant_inst,[status(thm)],[])).
% 15.13/10.36 tff(15851,plain,
% 15.13/10.36 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB100, constB101)) | (v101(constB101) <=> (~((~v1(constB101)) | (~v102(constB101)))))),
% 15.13/10.36 inference(modus_ponens,[status(thm)],[15850, 15849])).
% 15.13/10.36 tff(15852,plain,
% 15.13/10.36 (v101(constB101) <=> (~((~v1(constB101)) | (~v102(constB101))))),
% 15.13/10.37 inference(unit_resolution,[status(thm)],[15851, 15841, 450])).
% 15.13/10.37 tff(15853,plain,
% 15.13/10.37 (((~v1(constB101)) | (~v102(constB101))) | v1(constB101)),
% 15.13/10.37 inference(tautology,[status(thm)],[])).
% 15.13/10.37 tff(15854,plain,
% 15.13/10.37 ((~v1(constB101)) | (~v102(constB101))),
% 15.13/10.37 inference(unit_resolution,[status(thm)],[15853, 15802])).
% 15.13/10.37 tff(15855,plain,
% 15.13/10.37 ((~(v101(constB101) <=> (~((~v1(constB101)) | (~v102(constB101)))))) | (~v101(constB101)) | (~((~v1(constB101)) | (~v102(constB101))))),
% 15.13/10.37 inference(tautology,[status(thm)],[])).
% 15.13/10.37 tff(15856,plain,
% 15.13/10.37 ((~(v101(constB101) <=> (~((~v1(constB101)) | (~v102(constB101)))))) | (~v101(constB101))),
% 15.13/10.37 inference(unit_resolution,[status(thm)],[15855, 15854])).
% 15.13/10.37 tff(15857,plain,
% 15.13/10.37 (~v101(constB101)),
% 15.13/10.37 inference(unit_resolution,[status(thm)],[15856, 15852])).
% 15.13/10.37 tff(15858,plain,
% 15.13/10.37 (((~v101(constB101)) | (~v110(constB101))) | v101(constB101)),
% 15.13/10.37 inference(tautology,[status(thm)],[])).
% 15.13/10.37 tff(15859,plain,
% 15.13/10.37 ((~v101(constB101)) | (~v110(constB101))),
% 15.13/10.37 inference(unit_resolution,[status(thm)],[15858, 15857])).
% 15.13/10.37 tff(15860,plain,
% 15.13/10.37 ((~(v100(constB101) <=> (~((~v101(constB101)) | (~v110(constB101)))))) | (~v100(constB101)) | (~((~v101(constB101)) | (~v110(constB101))))),
% 15.13/10.37 inference(tautology,[status(thm)],[])).
% 15.13/10.37 tff(15861,plain,
% 15.13/10.37 (~v100(constB101)),
% 15.13/10.37 inference(unit_resolution,[status(thm)],[15860, 15859, 15845])).
% 15.13/10.37 tff(15862,plain,
% 15.13/10.37 (((~![VarCurr: $i, VarNext: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v90(VarCurr, B))))) | (v100(constB101) | (~nextState(constB100, constB101)) | ![B: $i] : ((~less_3(B)) | (v90(constB101, B) <=> v90(constB100, B))))) <=> ((~![VarCurr: $i, VarNext: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v90(VarCurr, B))))) | v100(constB101) | (~nextState(constB100, constB101)) | ![B: $i] : ((~less_3(B)) | (v90(constB101, B) <=> v90(constB100, B))))),
% 15.13/10.37 inference(rewrite,[status(thm)],[])).
% 15.13/10.37 tff(15863,plain,
% 15.13/10.37 ((~![VarCurr: $i, VarNext: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v90(VarCurr, B))))) | (v100(constB101) | (~nextState(constB100, constB101)) | ![B: $i] : ((~less_3(B)) | (v90(constB101, B) <=> v90(constB100, B))))),
% 15.13/10.37 inference(quant_inst,[status(thm)],[])).
% 15.13/10.37 tff(15864,plain,
% 15.13/10.37 ((~![VarCurr: $i, VarNext: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v90(VarCurr, B))))) | v100(constB101) | (~nextState(constB100, constB101)) | ![B: $i] : ((~less_3(B)) | (v90(constB101, B) <=> v90(constB100, B)))),
% 15.13/10.37 inference(modus_ponens,[status(thm)],[15863, 15862])).
% 15.13/10.37 tff(15865,plain,
% 15.13/10.37 (v100(constB101) | ![B: $i] : ((~less_3(B)) | (v90(constB101, B) <=> v90(constB100, B)))),
% 15.13/10.37 inference(unit_resolution,[status(thm)],[15864, 15841, 479])).
% 15.13/10.37 tff(15866,plain,
% 15.13/10.37 (![B: $i] : ((~less_3(B)) | (v90(constB101, B) <=> v90(constB100, B)))),
% 15.13/10.37 inference(unit_resolution,[status(thm)],[15865, 15861])).
% 15.13/10.37 tff(15867,plain,
% 15.13/10.37 (((~![B: $i] : ((~less_3(B)) | (v90(constB101, B) <=> v90(constB100, B)))) | ((~less_3(bitIndex2)) | (v90(constB101, bitIndex2) <=> v90(constB100, bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v90(constB101, B) <=> v90(constB100, B)))) | (~less_3(bitIndex2)) | (v90(constB101, bitIndex2) <=> v90(constB100, bitIndex2)))),
% 15.13/10.37 inference(rewrite,[status(thm)],[])).
% 15.13/10.37 tff(15868,plain,
% 15.13/10.37 ((~![B: $i] : ((~less_3(B)) | (v90(constB101, B) <=> v90(constB100, B)))) | ((~less_3(bitIndex2)) | (v90(constB101, bitIndex2) <=> v90(constB100, bitIndex2)))),
% 15.13/10.37 inference(quant_inst,[status(thm)],[])).
% 15.13/10.37 tff(15869,plain,
% 15.13/10.37 ((~![B: $i] : ((~less_3(B)) | (v90(constB101, B) <=> v90(constB100, B)))) | (~less_3(bitIndex2)) | (v90(constB101, bitIndex2) <=> v90(constB100, bitIndex2))),
% 15.13/10.37 inference(modus_ponens,[status(thm)],[15868, 15867])).
% 15.13/10.37 tff(15870,plain,
% 15.13/10.37 (v90(constB101, bitIndex2) <=> v90(constB100, bitIndex2)),
% 15.13/10.37 inference(unit_resolution,[status(thm)],[15869, 413, 15866])).
% 15.13/10.37 tff(15871,plain,
% 15.13/10.37 (nextState(constB99, constB100) <=> nextState(constB99, constB100)),
% 15.13/10.37 inference(rewrite,[status(thm)],[])).
% 15.13/10.37 tff(15872,axiom,(nextState(constB99, constB100)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_99')).
% 15.13/10.37 tff(15873,plain,
% 15.13/10.37 (nextState(constB99, constB100)),
% 15.13/10.37 inference(modus_ponens,[status(thm)],[15872, 15871])).
% 15.13/10.37 tff(15874,plain,
% 15.13/10.37 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB99, constB100)) | (v100(constB100) <=> (~((~v101(constB100)) | (~v110(constB100))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB99, constB100)) | (v100(constB100) <=> (~((~v101(constB100)) | (~v110(constB100))))))),
% 15.13/10.37 inference(rewrite,[status(thm)],[])).
% 15.13/10.37 tff(15875,plain,
% 15.13/10.37 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB99, constB100)) | (v100(constB100) <=> (~((~v101(constB100)) | (~v110(constB100))))))),
% 15.13/10.37 inference(quant_inst,[status(thm)],[])).
% 15.13/10.37 tff(15876,plain,
% 15.13/10.37 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB99, constB100)) | (v100(constB100) <=> (~((~v101(constB100)) | (~v110(constB100)))))),
% 15.13/10.37 inference(modus_ponens,[status(thm)],[15875, 15874])).
% 15.13/10.37 tff(15877,plain,
% 15.13/10.37 (v100(constB100) <=> (~((~v101(constB100)) | (~v110(constB100))))),
% 15.13/10.37 inference(unit_resolution,[status(thm)],[15876, 15873, 430])).
% 15.13/10.37 tff(15878,plain,
% 15.13/10.37 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB99, constB100)) | (v101(constB100) <=> (~((~v1(constB100)) | (~v102(constB100))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB99, constB100)) | (v101(constB100) <=> (~((~v1(constB100)) | (~v102(constB100))))))),
% 15.13/10.37 inference(rewrite,[status(thm)],[])).
% 15.13/10.37 tff(15879,plain,
% 15.13/10.37 (((~nextState(constB99, constB100)) | (v101(constB100) <=> (~((~v102(constB100)) | (~v1(constB100)))))) <=> ((~nextState(constB99, constB100)) | (v101(constB100) <=> (~((~v1(constB100)) | (~v102(constB100))))))),
% 15.13/10.37 inference(rewrite,[status(thm)],[])).
% 15.13/10.37 tff(15880,plain,
% 15.13/10.37 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB99, constB100)) | (v101(constB100) <=> (~((~v102(constB100)) | (~v1(constB100))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB99, constB100)) | (v101(constB100) <=> (~((~v1(constB100)) | (~v102(constB100)))))))),
% 15.13/10.37 inference(monotonicity,[status(thm)],[15879])).
% 15.13/10.37 tff(15881,plain,
% 15.13/10.37 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB99, constB100)) | (v101(constB100) <=> (~((~v102(constB100)) | (~v1(constB100))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB99, constB100)) | (v101(constB100) <=> (~((~v1(constB100)) | (~v102(constB100))))))),
% 15.13/10.37 inference(transitivity,[status(thm)],[15880, 15878])).
% 15.13/10.37 tff(15882,plain,
% 15.13/10.37 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB99, constB100)) | (v101(constB100) <=> (~((~v102(constB100)) | (~v1(constB100))))))),
% 15.13/10.37 inference(quant_inst,[status(thm)],[])).
% 15.13/10.37 tff(15883,plain,
% 15.13/10.37 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB99, constB100)) | (v101(constB100) <=> (~((~v1(constB100)) | (~v102(constB100)))))),
% 15.13/10.37 inference(modus_ponens,[status(thm)],[15882, 15881])).
% 15.13/10.37 tff(15884,plain,
% 15.13/10.37 (v101(constB100) <=> (~((~v1(constB100)) | (~v102(constB100))))),
% 15.13/10.37 inference(unit_resolution,[status(thm)],[15883, 15873, 450])).
% 15.13/10.37 tff(15885,plain,
% 15.13/10.37 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | ((~nextState(constB99, constB100)) | ((~v102(constB100)) <=> v104(constB100)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | (~nextState(constB99, constB100)) | ((~v102(constB100)) <=> v104(constB100)))),
% 15.13/10.37 inference(rewrite,[status(thm)],[])).
% 15.13/10.37 tff(15886,plain,
% 15.13/10.37 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | ((~nextState(constB99, constB100)) | ((~v102(constB100)) <=> v104(constB100)))),
% 15.13/10.37 inference(quant_inst,[status(thm)],[])).
% 15.13/10.37 tff(15887,plain,
% 15.13/10.37 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | (~nextState(constB99, constB100)) | ((~v102(constB100)) <=> v104(constB100))),
% 15.13/10.37 inference(modus_ponens,[status(thm)],[15886, 15885])).
% 15.13/10.37 tff(15888,plain,
% 15.13/10.37 ((~v102(constB100)) <=> v104(constB100)),
% 15.13/10.37 inference(unit_resolution,[status(thm)],[15887, 15873, 512])).
% 15.13/10.37 tff(15889,plain,
% 15.13/10.37 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB99, constB100)) | (v104(constB100) <=> v1(constB99)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | (~nextState(constB99, constB100)) | (v104(constB100) <=> v1(constB99)))),
% 15.13/10.37 inference(rewrite,[status(thm)],[])).
% 15.13/10.37 tff(15890,plain,
% 15.13/10.37 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB99, constB100)) | (v104(constB100) <=> v1(constB99)))),
% 15.13/10.37 inference(quant_inst,[status(thm)],[])).
% 15.13/10.37 tff(15891,plain,
% 15.13/10.37 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | (~nextState(constB99, constB100)) | (v104(constB100) <=> v1(constB99))),
% 15.13/10.37 inference(modus_ponens,[status(thm)],[15890, 15889])).
% 15.13/10.37 tff(15892,plain,
% 15.13/10.37 (v104(constB100) <=> v1(constB99)),
% 15.13/10.37 inference(unit_resolution,[status(thm)],[15891, 15873, 526])).
% 15.13/10.37 tff(15893,plain,
% 15.13/10.37 ((~v1(constB99)) <=> (~v1(constB99))),
% 15.13/10.37 inference(rewrite,[status(thm)],[])).
% 15.13/10.37 tff(15894,axiom,(~v1(constB99)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_99')).
% 15.13/10.37 tff(15895,plain,
% 15.13/10.37 (~v1(constB99)),
% 15.13/10.37 inference(modus_ponens,[status(thm)],[15894, 15893])).
% 15.13/10.37 tff(15896,plain,
% 15.13/10.37 ((~(v104(constB100) <=> v1(constB99))) | (~v104(constB100)) | v1(constB99)),
% 15.13/10.37 inference(tautology,[status(thm)],[])).
% 15.13/10.37 tff(15897,plain,
% 15.13/10.37 ((~(v104(constB100) <=> v1(constB99))) | (~v104(constB100))),
% 15.13/10.37 inference(unit_resolution,[status(thm)],[15896, 15895])).
% 15.13/10.37 tff(15898,plain,
% 15.13/10.37 (~v104(constB100)),
% 15.13/10.37 inference(unit_resolution,[status(thm)],[15897, 15892])).
% 15.13/10.37 tff(15899,plain,
% 15.13/10.37 ((~((~v102(constB100)) <=> v104(constB100))) | v102(constB100) | v104(constB100)),
% 15.13/10.37 inference(tautology,[status(thm)],[])).
% 15.13/10.37 tff(15900,plain,
% 15.13/10.37 (v102(constB100)),
% 15.13/10.37 inference(unit_resolution,[status(thm)],[15899, 15898, 15888])).
% 15.13/10.37 tff(15901,plain,
% 15.13/10.37 (v1(constB100) <=> v1(constB100)),
% 15.13/10.37 inference(rewrite,[status(thm)],[])).
% 15.13/10.37 tff(15902,axiom,(v1(constB100)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_100')).
% 15.13/10.37 tff(15903,plain,
% 15.13/10.37 (v1(constB100)),
% 15.13/10.37 inference(modus_ponens,[status(thm)],[15902, 15901])).
% 15.13/10.37 tff(15904,plain,
% 15.13/10.37 ((~((~v1(constB100)) | (~v102(constB100)))) | (~v1(constB100)) | (~v102(constB100))),
% 15.13/10.37 inference(tautology,[status(thm)],[])).
% 15.13/10.37 tff(15905,plain,
% 15.13/10.37 ((~((~v1(constB100)) | (~v102(constB100)))) | (~v102(constB100))),
% 15.13/10.37 inference(unit_resolution,[status(thm)],[15904, 15903])).
% 15.13/10.37 tff(15906,plain,
% 15.13/10.37 (~((~v1(constB100)) | (~v102(constB100)))),
% 15.13/10.37 inference(unit_resolution,[status(thm)],[15905, 15900])).
% 15.13/10.37 tff(15907,plain,
% 15.13/10.37 ((~(v101(constB100) <=> (~((~v1(constB100)) | (~v102(constB100)))))) | v101(constB100) | ((~v1(constB100)) | (~v102(constB100)))),
% 15.13/10.37 inference(tautology,[status(thm)],[])).
% 15.13/10.37 tff(15908,plain,
% 15.13/10.37 (v101(constB100)),
% 15.13/10.37 inference(unit_resolution,[status(thm)],[15907, 15906, 15884])).
% 15.13/10.37 tff(15909,plain,
% 15.13/10.37 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | ((~nextState(constB99, constB100)) | (v110(constB100) <=> v108(constB99)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | (~nextState(constB99, constB100)) | (v110(constB100) <=> v108(constB99)))),
% 15.13/10.37 inference(rewrite,[status(thm)],[])).
% 15.13/10.37 tff(15910,plain,
% 15.13/10.37 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | ((~nextState(constB99, constB100)) | (v110(constB100) <=> v108(constB99)))),
% 15.13/10.37 inference(quant_inst,[status(thm)],[])).
% 15.13/10.37 tff(15911,plain,
% 15.13/10.37 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | (~nextState(constB99, constB100)) | (v110(constB100) <=> v108(constB99))),
% 15.13/10.37 inference(modus_ponens,[status(thm)],[15910, 15909])).
% 15.13/10.37 tff(15912,plain,
% 15.13/10.37 (v110(constB100) <=> v108(constB99)),
% 15.13/10.37 inference(unit_resolution,[status(thm)],[15911, 15873, 556])).
% 15.13/10.37 tff(15913,plain,
% 15.13/10.37 ((~![VarCurr: $i] : (v108(VarCurr) <=> (v111(VarCurr) | v112(VarCurr)))) | (v108(constB99) <=> (v111(constB99) | v112(constB99)))),
% 15.13/10.37 inference(quant_inst,[status(thm)],[])).
% 15.13/10.37 tff(15914,plain,
% 15.13/10.37 (v108(constB99) <=> (v111(constB99) | v112(constB99))),
% 15.13/10.37 inference(unit_resolution,[status(thm)],[15913, 567])).
% 15.13/10.37 tff(15915,plain,
% 15.13/10.37 ((~![VarCurr: $i] : (v112(VarCurr) <=> (~((~v113(VarCurr)) | (~v126(VarCurr)))))) | (v112(constB99) <=> (~((~v113(constB99)) | (~v126(constB99)))))),
% 15.13/10.37 inference(quant_inst,[status(thm)],[])).
% 15.13/10.37 tff(15916,plain,
% 15.13/10.37 (v112(constB99) <=> (~((~v113(constB99)) | (~v126(constB99))))),
% 15.13/10.37 inference(unit_resolution,[status(thm)],[15915, 579])).
% 15.13/10.37 tff(15917,plain,
% 15.13/10.37 ((~![VarCurr: $i] : (v113(VarCurr) <=> (v114(VarCurr) | v125(VarCurr)))) | (v113(constB99) <=> (v114(constB99) | v125(constB99)))),
% 15.13/10.37 inference(quant_inst,[status(thm)],[])).
% 15.13/10.37 tff(15918,plain,
% 15.13/10.37 (v113(constB99) <=> (v114(constB99) | v125(constB99))),
% 15.13/10.37 inference(unit_resolution,[status(thm)],[15917, 588])).
% 15.13/10.37 tff(15919,plain,
% 15.13/10.37 ((~![VarCurr: $i] : (v114(VarCurr) <=> (v115(VarCurr) | v124(VarCurr)))) | (v114(constB99) <=> (v115(constB99) | v124(constB99)))),
% 15.13/10.37 inference(quant_inst,[status(thm)],[])).
% 15.13/10.37 tff(15920,plain,
% 15.13/10.37 (v114(constB99) <=> (v115(constB99) | v124(constB99))),
% 15.13/10.37 inference(unit_resolution,[status(thm)],[15919, 597])).
% 15.13/10.37 tff(15921,plain,
% 15.13/10.37 ((~![VarCurr: $i] : (v115(VarCurr) <=> (v116(VarCurr) | v123(VarCurr)))) | (v115(constB99) <=> (v116(constB99) | v123(constB99)))),
% 15.13/10.37 inference(quant_inst,[status(thm)],[])).
% 15.13/10.37 tff(15922,plain,
% 15.13/10.37 (v115(constB99) <=> (v116(constB99) | v123(constB99))),
% 15.13/10.37 inference(unit_resolution,[status(thm)],[15921, 606])).
% 15.13/10.37 tff(15923,plain,
% 15.13/10.37 ((~![VarCurr: $i] : (v116(VarCurr) <=> (v117(VarCurr) | v122(VarCurr)))) | (v116(constB99) <=> (v117(constB99) | v122(constB99)))),
% 15.13/10.37 inference(quant_inst,[status(thm)],[])).
% 15.13/10.37 tff(15924,plain,
% 15.13/10.37 (v116(constB99) <=> (v117(constB99) | v122(constB99))),
% 15.13/10.37 inference(unit_resolution,[status(thm)],[15923, 719])).
% 15.13/10.37 tff(15925,plain,
% 15.13/10.37 ((~![VarCurr: $i] : (v117(VarCurr) <=> (v118(VarCurr) | v121(VarCurr)))) | (v117(constB99) <=> (v118(constB99) | v121(constB99)))),
% 15.13/10.37 inference(quant_inst,[status(thm)],[])).
% 15.13/10.37 tff(15926,plain,
% 15.13/10.37 (v117(constB99) <=> (v118(constB99) | v121(constB99))),
% 15.13/10.37 inference(unit_resolution,[status(thm)],[15925, 834])).
% 15.13/10.37 tff(15927,plain,
% 15.13/10.37 (((~![VarCurr: $i] : (v121(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex1)))))) | (v121(constB99) <=> (~(v90(constB99, bitIndex2) | (~v90(constB99, bitIndex1)) | v90(constB99, bitIndex0))))) <=> ((~![VarCurr: $i] : (v121(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex1)))))) | (v121(constB99) <=> (~(v90(constB99, bitIndex2) | (~v90(constB99, bitIndex1)) | v90(constB99, bitIndex0)))))),
% 15.13/10.37 inference(rewrite,[status(thm)],[])).
% 15.13/10.37 tff(15928,plain,
% 15.13/10.37 ((v121(constB99) <=> (~(v90(constB99, bitIndex0) | v90(constB99, bitIndex2) | (~v90(constB99, bitIndex1))))) <=> (v121(constB99) <=> (~(v90(constB99, bitIndex2) | (~v90(constB99, bitIndex1)) | v90(constB99, bitIndex0))))),
% 15.13/10.37 inference(rewrite,[status(thm)],[])).
% 15.13/10.37 tff(15929,plain,
% 15.13/10.37 (((~![VarCurr: $i] : (v121(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex1)))))) | (v121(constB99) <=> (~(v90(constB99, bitIndex0) | v90(constB99, bitIndex2) | (~v90(constB99, bitIndex1)))))) <=> ((~![VarCurr: $i] : (v121(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex1)))))) | (v121(constB99) <=> (~(v90(constB99, bitIndex2) | (~v90(constB99, bitIndex1)) | v90(constB99, bitIndex0)))))),
% 15.13/10.37 inference(monotonicity,[status(thm)],[15928])).
% 15.13/10.37 tff(15930,plain,
% 15.13/10.37 (((~![VarCurr: $i] : (v121(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex1)))))) | (v121(constB99) <=> (~(v90(constB99, bitIndex0) | v90(constB99, bitIndex2) | (~v90(constB99, bitIndex1)))))) <=> ((~![VarCurr: $i] : (v121(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex1)))))) | (v121(constB99) <=> (~(v90(constB99, bitIndex2) | (~v90(constB99, bitIndex1)) | v90(constB99, bitIndex0)))))),
% 15.13/10.37 inference(transitivity,[status(thm)],[15929, 15927])).
% 15.13/10.37 tff(15931,plain,
% 15.13/10.37 ((~![VarCurr: $i] : (v121(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex1)))))) | (v121(constB99) <=> (~(v90(constB99, bitIndex0) | v90(constB99, bitIndex2) | (~v90(constB99, bitIndex1)))))),
% 15.13/10.37 inference(quant_inst,[status(thm)],[])).
% 15.13/10.37 tff(15932,plain,
% 15.13/10.37 ((~![VarCurr: $i] : (v121(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex1)))))) | (v121(constB99) <=> (~(v90(constB99, bitIndex2) | (~v90(constB99, bitIndex1)) | v90(constB99, bitIndex0))))),
% 15.13/10.37 inference(modus_ponens,[status(thm)],[15931, 15930])).
% 15.13/10.37 tff(15933,plain,
% 15.13/10.37 (v121(constB99) <=> (~(v90(constB99, bitIndex2) | (~v90(constB99, bitIndex1)) | v90(constB99, bitIndex0)))),
% 15.13/10.37 inference(unit_resolution,[status(thm)],[15932, 849])).
% 15.13/10.37 tff(15934,plain,
% 15.13/10.37 (nextState(constB98, constB99) <=> nextState(constB98, constB99)),
% 15.13/10.37 inference(rewrite,[status(thm)],[])).
% 15.13/10.37 tff(15935,axiom,(nextState(constB98, constB99)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_98')).
% 15.13/10.37 tff(15936,plain,
% 15.13/10.37 (nextState(constB98, constB99)),
% 15.13/10.37 inference(modus_ponens,[status(thm)],[15935, 15934])).
% 15.13/10.37 tff(15937,plain,
% 15.13/10.37 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB98, constB99)) | (v100(constB99) <=> (~((~v101(constB99)) | (~v110(constB99))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB98, constB99)) | (v100(constB99) <=> (~((~v101(constB99)) | (~v110(constB99))))))),
% 15.13/10.37 inference(rewrite,[status(thm)],[])).
% 15.13/10.37 tff(15938,plain,
% 15.13/10.37 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB98, constB99)) | (v100(constB99) <=> (~((~v101(constB99)) | (~v110(constB99))))))),
% 15.13/10.37 inference(quant_inst,[status(thm)],[])).
% 15.13/10.37 tff(15939,plain,
% 15.13/10.37 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB98, constB99)) | (v100(constB99) <=> (~((~v101(constB99)) | (~v110(constB99)))))),
% 15.13/10.37 inference(modus_ponens,[status(thm)],[15938, 15937])).
% 15.13/10.37 tff(15940,plain,
% 15.13/10.37 (v100(constB99) <=> (~((~v101(constB99)) | (~v110(constB99))))),
% 15.13/10.37 inference(unit_resolution,[status(thm)],[15939, 15936, 430])).
% 15.13/10.37 tff(15941,plain,
% 15.13/10.37 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB98, constB99)) | (v101(constB99) <=> (~((~v1(constB99)) | (~v102(constB99))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB98, constB99)) | (v101(constB99) <=> (~((~v1(constB99)) | (~v102(constB99))))))),
% 15.13/10.37 inference(rewrite,[status(thm)],[])).
% 15.13/10.37 tff(15942,plain,
% 15.13/10.37 (((~nextState(constB98, constB99)) | (v101(constB99) <=> (~((~v102(constB99)) | (~v1(constB99)))))) <=> ((~nextState(constB98, constB99)) | (v101(constB99) <=> (~((~v1(constB99)) | (~v102(constB99))))))),
% 15.13/10.37 inference(rewrite,[status(thm)],[])).
% 15.13/10.37 tff(15943,plain,
% 15.13/10.37 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB98, constB99)) | (v101(constB99) <=> (~((~v102(constB99)) | (~v1(constB99))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB98, constB99)) | (v101(constB99) <=> (~((~v1(constB99)) | (~v102(constB99)))))))),
% 15.13/10.37 inference(monotonicity,[status(thm)],[15942])).
% 15.13/10.37 tff(15944,plain,
% 15.13/10.37 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB98, constB99)) | (v101(constB99) <=> (~((~v102(constB99)) | (~v1(constB99))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB98, constB99)) | (v101(constB99) <=> (~((~v1(constB99)) | (~v102(constB99))))))),
% 15.13/10.37 inference(transitivity,[status(thm)],[15943, 15941])).
% 15.13/10.37 tff(15945,plain,
% 15.13/10.37 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB98, constB99)) | (v101(constB99) <=> (~((~v102(constB99)) | (~v1(constB99))))))),
% 15.13/10.37 inference(quant_inst,[status(thm)],[])).
% 15.13/10.37 tff(15946,plain,
% 15.13/10.37 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB98, constB99)) | (v101(constB99) <=> (~((~v1(constB99)) | (~v102(constB99)))))),
% 15.13/10.37 inference(modus_ponens,[status(thm)],[15945, 15944])).
% 15.13/10.37 tff(15947,plain,
% 15.13/10.37 (v101(constB99) <=> (~((~v1(constB99)) | (~v102(constB99))))),
% 15.13/10.37 inference(unit_resolution,[status(thm)],[15946, 15936, 450])).
% 15.13/10.37 tff(15948,plain,
% 15.13/10.37 (((~v1(constB99)) | (~v102(constB99))) | v1(constB99)),
% 15.13/10.37 inference(tautology,[status(thm)],[])).
% 15.13/10.37 tff(15949,plain,
% 15.13/10.37 ((~v1(constB99)) | (~v102(constB99))),
% 15.13/10.37 inference(unit_resolution,[status(thm)],[15948, 15895])).
% 15.13/10.37 tff(15950,plain,
% 15.13/10.37 ((~(v101(constB99) <=> (~((~v1(constB99)) | (~v102(constB99)))))) | (~v101(constB99)) | (~((~v1(constB99)) | (~v102(constB99))))),
% 15.13/10.37 inference(tautology,[status(thm)],[])).
% 15.13/10.37 tff(15951,plain,
% 15.13/10.37 ((~(v101(constB99) <=> (~((~v1(constB99)) | (~v102(constB99)))))) | (~v101(constB99))),
% 15.13/10.37 inference(unit_resolution,[status(thm)],[15950, 15949])).
% 15.13/10.37 tff(15952,plain,
% 15.13/10.37 (~v101(constB99)),
% 15.13/10.37 inference(unit_resolution,[status(thm)],[15951, 15947])).
% 15.13/10.37 tff(15953,plain,
% 15.13/10.37 (((~v101(constB99)) | (~v110(constB99))) | v101(constB99)),
% 15.13/10.37 inference(tautology,[status(thm)],[])).
% 15.13/10.37 tff(15954,plain,
% 15.13/10.37 ((~v101(constB99)) | (~v110(constB99))),
% 15.13/10.37 inference(unit_resolution,[status(thm)],[15953, 15952])).
% 15.13/10.37 tff(15955,plain,
% 15.13/10.37 ((~(v100(constB99) <=> (~((~v101(constB99)) | (~v110(constB99)))))) | (~v100(constB99)) | (~((~v101(constB99)) | (~v110(constB99))))),
% 15.13/10.37 inference(tautology,[status(thm)],[])).
% 15.13/10.37 tff(15956,plain,
% 15.13/10.37 (~v100(constB99)),
% 15.13/10.37 inference(unit_resolution,[status(thm)],[15955, 15954, 15940])).
% 15.13/10.37 tff(15957,plain,
% 15.13/10.37 (((~![VarCurr: $i, VarNext: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v90(VarCurr, B))))) | (v100(constB99) | (~nextState(constB98, constB99)) | ![B: $i] : ((~less_3(B)) | (v90(constB99, B) <=> v90(constB98, B))))) <=> ((~![VarCurr: $i, VarNext: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v90(VarCurr, B))))) | v100(constB99) | (~nextState(constB98, constB99)) | ![B: $i] : ((~less_3(B)) | (v90(constB99, B) <=> v90(constB98, B))))),
% 15.13/10.37 inference(rewrite,[status(thm)],[])).
% 15.13/10.37 tff(15958,plain,
% 15.13/10.37 ((~![VarCurr: $i, VarNext: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v90(VarCurr, B))))) | (v100(constB99) | (~nextState(constB98, constB99)) | ![B: $i] : ((~less_3(B)) | (v90(constB99, B) <=> v90(constB98, B))))),
% 15.13/10.37 inference(quant_inst,[status(thm)],[])).
% 15.13/10.37 tff(15959,plain,
% 15.13/10.37 ((~![VarCurr: $i, VarNext: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v90(VarCurr, B))))) | v100(constB99) | (~nextState(constB98, constB99)) | ![B: $i] : ((~less_3(B)) | (v90(constB99, B) <=> v90(constB98, B)))),
% 15.13/10.37 inference(modus_ponens,[status(thm)],[15958, 15957])).
% 15.13/10.37 tff(15960,plain,
% 15.13/10.37 (v100(constB99) | ![B: $i] : ((~less_3(B)) | (v90(constB99, B) <=> v90(constB98, B)))),
% 15.13/10.37 inference(unit_resolution,[status(thm)],[15959, 15936, 479])).
% 15.13/10.37 tff(15961,plain,
% 15.13/10.37 (![B: $i] : ((~less_3(B)) | (v90(constB99, B) <=> v90(constB98, B)))),
% 15.13/10.37 inference(unit_resolution,[status(thm)],[15960, 15956])).
% 15.13/10.37 tff(15962,plain,
% 15.13/10.37 (((~![B: $i] : ((~less_3(B)) | (v90(constB99, B) <=> v90(constB98, B)))) | ((~less_3(bitIndex2)) | (v90(constB99, bitIndex2) <=> v90(constB98, bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v90(constB99, B) <=> v90(constB98, B)))) | (~less_3(bitIndex2)) | (v90(constB99, bitIndex2) <=> v90(constB98, bitIndex2)))),
% 15.13/10.37 inference(rewrite,[status(thm)],[])).
% 15.13/10.37 tff(15963,plain,
% 15.13/10.37 ((~![B: $i] : ((~less_3(B)) | (v90(constB99, B) <=> v90(constB98, B)))) | ((~less_3(bitIndex2)) | (v90(constB99, bitIndex2) <=> v90(constB98, bitIndex2)))),
% 15.13/10.37 inference(quant_inst,[status(thm)],[])).
% 15.13/10.37 tff(15964,plain,
% 15.13/10.37 ((~![B: $i] : ((~less_3(B)) | (v90(constB99, B) <=> v90(constB98, B)))) | (~less_3(bitIndex2)) | (v90(constB99, bitIndex2) <=> v90(constB98, bitIndex2))),
% 15.13/10.37 inference(modus_ponens,[status(thm)],[15963, 15962])).
% 15.13/10.37 tff(15965,plain,
% 15.13/10.37 (v90(constB99, bitIndex2) <=> v90(constB98, bitIndex2)),
% 15.13/10.37 inference(unit_resolution,[status(thm)],[15964, 413, 15961])).
% 15.13/10.37 tff(15966,plain,
% 15.13/10.37 (nextState(constB97, constB98) <=> nextState(constB97, constB98)),
% 15.13/10.37 inference(rewrite,[status(thm)],[])).
% 15.13/10.37 tff(15967,axiom,(nextState(constB97, constB98)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_97')).
% 15.13/10.37 tff(15968,plain,
% 15.13/10.37 (nextState(constB97, constB98)),
% 15.13/10.37 inference(modus_ponens,[status(thm)],[15967, 15966])).
% 15.13/10.37 tff(15969,plain,
% 15.13/10.37 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB97, constB98)) | (v100(constB98) <=> (~((~v101(constB98)) | (~v110(constB98))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB97, constB98)) | (v100(constB98) <=> (~((~v101(constB98)) | (~v110(constB98))))))),
% 15.13/10.37 inference(rewrite,[status(thm)],[])).
% 15.13/10.37 tff(15970,plain,
% 15.13/10.37 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB97, constB98)) | (v100(constB98) <=> (~((~v101(constB98)) | (~v110(constB98))))))),
% 15.13/10.37 inference(quant_inst,[status(thm)],[])).
% 15.13/10.37 tff(15971,plain,
% 15.13/10.37 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB97, constB98)) | (v100(constB98) <=> (~((~v101(constB98)) | (~v110(constB98)))))),
% 15.13/10.37 inference(modus_ponens,[status(thm)],[15970, 15969])).
% 15.13/10.37 tff(15972,plain,
% 15.13/10.37 (v100(constB98) <=> (~((~v101(constB98)) | (~v110(constB98))))),
% 15.13/10.37 inference(unit_resolution,[status(thm)],[15971, 15968, 430])).
% 15.13/10.37 tff(15973,plain,
% 15.13/10.37 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB97, constB98)) | (v101(constB98) <=> (~((~v1(constB98)) | (~v102(constB98))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB97, constB98)) | (v101(constB98) <=> (~((~v1(constB98)) | (~v102(constB98))))))),
% 15.13/10.37 inference(rewrite,[status(thm)],[])).
% 15.13/10.37 tff(15974,plain,
% 15.13/10.37 (((~nextState(constB97, constB98)) | (v101(constB98) <=> (~((~v102(constB98)) | (~v1(constB98)))))) <=> ((~nextState(constB97, constB98)) | (v101(constB98) <=> (~((~v1(constB98)) | (~v102(constB98))))))),
% 15.13/10.37 inference(rewrite,[status(thm)],[])).
% 15.13/10.37 tff(15975,plain,
% 15.13/10.37 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB97, constB98)) | (v101(constB98) <=> (~((~v102(constB98)) | (~v1(constB98))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB97, constB98)) | (v101(constB98) <=> (~((~v1(constB98)) | (~v102(constB98)))))))),
% 15.13/10.37 inference(monotonicity,[status(thm)],[15974])).
% 15.13/10.37 tff(15976,plain,
% 15.13/10.37 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB97, constB98)) | (v101(constB98) <=> (~((~v102(constB98)) | (~v1(constB98))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB97, constB98)) | (v101(constB98) <=> (~((~v1(constB98)) | (~v102(constB98))))))),
% 15.13/10.37 inference(transitivity,[status(thm)],[15975, 15973])).
% 15.13/10.37 tff(15977,plain,
% 15.13/10.37 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB97, constB98)) | (v101(constB98) <=> (~((~v102(constB98)) | (~v1(constB98))))))),
% 15.13/10.38 inference(quant_inst,[status(thm)],[])).
% 15.13/10.38 tff(15978,plain,
% 15.13/10.38 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB97, constB98)) | (v101(constB98) <=> (~((~v1(constB98)) | (~v102(constB98)))))),
% 15.13/10.38 inference(modus_ponens,[status(thm)],[15977, 15976])).
% 15.13/10.38 tff(15979,plain,
% 15.13/10.38 (v101(constB98) <=> (~((~v1(constB98)) | (~v102(constB98))))),
% 15.13/10.38 inference(unit_resolution,[status(thm)],[15978, 15968, 450])).
% 15.13/10.38 tff(15980,plain,
% 15.13/10.38 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | ((~nextState(constB97, constB98)) | ((~v102(constB98)) <=> v104(constB98)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | (~nextState(constB97, constB98)) | ((~v102(constB98)) <=> v104(constB98)))),
% 15.13/10.38 inference(rewrite,[status(thm)],[])).
% 15.13/10.38 tff(15981,plain,
% 15.13/10.38 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | ((~nextState(constB97, constB98)) | ((~v102(constB98)) <=> v104(constB98)))),
% 15.13/10.38 inference(quant_inst,[status(thm)],[])).
% 15.13/10.38 tff(15982,plain,
% 15.13/10.38 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | (~nextState(constB97, constB98)) | ((~v102(constB98)) <=> v104(constB98))),
% 15.13/10.38 inference(modus_ponens,[status(thm)],[15981, 15980])).
% 15.13/10.38 tff(15983,plain,
% 15.13/10.38 ((~v102(constB98)) <=> v104(constB98)),
% 15.13/10.38 inference(unit_resolution,[status(thm)],[15982, 15968, 512])).
% 15.13/10.38 tff(15984,plain,
% 15.13/10.38 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB97, constB98)) | (v104(constB98) <=> v1(constB97)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | (~nextState(constB97, constB98)) | (v104(constB98) <=> v1(constB97)))),
% 15.13/10.38 inference(rewrite,[status(thm)],[])).
% 15.13/10.38 tff(15985,plain,
% 15.13/10.38 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB97, constB98)) | (v104(constB98) <=> v1(constB97)))),
% 15.13/10.38 inference(quant_inst,[status(thm)],[])).
% 15.13/10.38 tff(15986,plain,
% 15.13/10.38 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | (~nextState(constB97, constB98)) | (v104(constB98) <=> v1(constB97))),
% 15.13/10.38 inference(modus_ponens,[status(thm)],[15985, 15984])).
% 15.13/10.38 tff(15987,plain,
% 15.13/10.38 (v104(constB98) <=> v1(constB97)),
% 15.13/10.38 inference(unit_resolution,[status(thm)],[15986, 15968, 526])).
% 15.13/10.38 tff(15988,plain,
% 15.13/10.38 ((~v1(constB97)) <=> (~v1(constB97))),
% 15.13/10.38 inference(rewrite,[status(thm)],[])).
% 15.13/10.38 tff(15989,axiom,(~v1(constB97)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_97')).
% 15.13/10.38 tff(15990,plain,
% 15.13/10.38 (~v1(constB97)),
% 15.13/10.38 inference(modus_ponens,[status(thm)],[15989, 15988])).
% 15.13/10.38 tff(15991,plain,
% 15.13/10.38 ((~(v104(constB98) <=> v1(constB97))) | (~v104(constB98)) | v1(constB97)),
% 15.13/10.38 inference(tautology,[status(thm)],[])).
% 15.13/10.38 tff(15992,plain,
% 15.13/10.38 ((~(v104(constB98) <=> v1(constB97))) | (~v104(constB98))),
% 15.13/10.38 inference(unit_resolution,[status(thm)],[15991, 15990])).
% 15.13/10.38 tff(15993,plain,
% 15.13/10.38 (~v104(constB98)),
% 15.13/10.38 inference(unit_resolution,[status(thm)],[15992, 15987])).
% 15.13/10.38 tff(15994,plain,
% 15.13/10.38 ((~((~v102(constB98)) <=> v104(constB98))) | v102(constB98) | v104(constB98)),
% 15.13/10.38 inference(tautology,[status(thm)],[])).
% 15.13/10.38 tff(15995,plain,
% 15.13/10.38 (v102(constB98)),
% 15.13/10.38 inference(unit_resolution,[status(thm)],[15994, 15993, 15983])).
% 15.13/10.38 tff(15996,plain,
% 15.13/10.38 (v1(constB98) <=> v1(constB98)),
% 15.13/10.38 inference(rewrite,[status(thm)],[])).
% 15.13/10.38 tff(15997,axiom,(v1(constB98)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_98')).
% 15.13/10.38 tff(15998,plain,
% 15.13/10.38 (v1(constB98)),
% 15.13/10.38 inference(modus_ponens,[status(thm)],[15997, 15996])).
% 15.13/10.38 tff(15999,plain,
% 15.13/10.38 ((~((~v1(constB98)) | (~v102(constB98)))) | (~v1(constB98)) | (~v102(constB98))),
% 15.13/10.38 inference(tautology,[status(thm)],[])).
% 15.13/10.38 tff(16000,plain,
% 15.13/10.38 ((~((~v1(constB98)) | (~v102(constB98)))) | (~v102(constB98))),
% 15.13/10.38 inference(unit_resolution,[status(thm)],[15999, 15998])).
% 15.13/10.38 tff(16001,plain,
% 15.13/10.38 (~((~v1(constB98)) | (~v102(constB98)))),
% 15.13/10.38 inference(unit_resolution,[status(thm)],[16000, 15995])).
% 15.13/10.38 tff(16002,plain,
% 15.13/10.38 ((~(v101(constB98) <=> (~((~v1(constB98)) | (~v102(constB98)))))) | v101(constB98) | ((~v1(constB98)) | (~v102(constB98)))),
% 15.13/10.38 inference(tautology,[status(thm)],[])).
% 15.13/10.38 tff(16003,plain,
% 15.13/10.38 (v101(constB98)),
% 15.13/10.38 inference(unit_resolution,[status(thm)],[16002, 16001, 15979])).
% 15.13/10.38 tff(16004,plain,
% 15.13/10.38 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | ((~nextState(constB97, constB98)) | (v110(constB98) <=> v108(constB97)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | (~nextState(constB97, constB98)) | (v110(constB98) <=> v108(constB97)))),
% 15.13/10.38 inference(rewrite,[status(thm)],[])).
% 15.13/10.38 tff(16005,plain,
% 15.13/10.38 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | ((~nextState(constB97, constB98)) | (v110(constB98) <=> v108(constB97)))),
% 15.13/10.38 inference(quant_inst,[status(thm)],[])).
% 15.13/10.38 tff(16006,plain,
% 15.13/10.38 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | (~nextState(constB97, constB98)) | (v110(constB98) <=> v108(constB97))),
% 15.13/10.38 inference(modus_ponens,[status(thm)],[16005, 16004])).
% 15.13/10.38 tff(16007,plain,
% 15.13/10.38 (v110(constB98) <=> v108(constB97)),
% 15.13/10.38 inference(unit_resolution,[status(thm)],[16006, 15968, 556])).
% 15.13/10.38 tff(16008,plain,
% 15.13/10.38 ((~![VarCurr: $i] : (v108(VarCurr) <=> (v111(VarCurr) | v112(VarCurr)))) | (v108(constB97) <=> (v111(constB97) | v112(constB97)))),
% 15.13/10.38 inference(quant_inst,[status(thm)],[])).
% 15.13/10.38 tff(16009,plain,
% 15.13/10.38 (v108(constB97) <=> (v111(constB97) | v112(constB97))),
% 15.13/10.38 inference(unit_resolution,[status(thm)],[16008, 567])).
% 15.13/10.38 tff(16010,plain,
% 15.13/10.38 ((~![VarCurr: $i] : (v112(VarCurr) <=> (~((~v113(VarCurr)) | (~v126(VarCurr)))))) | (v112(constB97) <=> (~((~v113(constB97)) | (~v126(constB97)))))),
% 15.13/10.38 inference(quant_inst,[status(thm)],[])).
% 15.13/10.38 tff(16011,plain,
% 15.13/10.38 (v112(constB97) <=> (~((~v113(constB97)) | (~v126(constB97))))),
% 15.13/10.38 inference(unit_resolution,[status(thm)],[16010, 579])).
% 15.13/10.38 tff(16012,plain,
% 15.13/10.38 ((~![VarCurr: $i] : (v113(VarCurr) <=> (v114(VarCurr) | v125(VarCurr)))) | (v113(constB97) <=> (v114(constB97) | v125(constB97)))),
% 15.13/10.38 inference(quant_inst,[status(thm)],[])).
% 15.13/10.38 tff(16013,plain,
% 15.13/10.38 (v113(constB97) <=> (v114(constB97) | v125(constB97))),
% 15.13/10.38 inference(unit_resolution,[status(thm)],[16012, 588])).
% 15.13/10.38 tff(16014,plain,
% 15.13/10.38 ((~![VarCurr: $i] : (v114(VarCurr) <=> (v115(VarCurr) | v124(VarCurr)))) | (v114(constB97) <=> (v115(constB97) | v124(constB97)))),
% 15.13/10.38 inference(quant_inst,[status(thm)],[])).
% 15.13/10.38 tff(16015,plain,
% 15.13/10.38 (v114(constB97) <=> (v115(constB97) | v124(constB97))),
% 15.13/10.38 inference(unit_resolution,[status(thm)],[16014, 597])).
% 15.13/10.38 tff(16016,plain,
% 15.13/10.38 ((~![VarCurr: $i] : (v115(VarCurr) <=> (v116(VarCurr) | v123(VarCurr)))) | (v115(constB97) <=> (v116(constB97) | v123(constB97)))),
% 15.13/10.38 inference(quant_inst,[status(thm)],[])).
% 15.13/10.38 tff(16017,plain,
% 15.13/10.38 (v115(constB97) <=> (v116(constB97) | v123(constB97))),
% 15.13/10.38 inference(unit_resolution,[status(thm)],[16016, 606])).
% 15.13/10.38 tff(16018,plain,
% 15.13/10.38 ((~![VarCurr: $i] : (v116(VarCurr) <=> (v117(VarCurr) | v122(VarCurr)))) | (v116(constB97) <=> (v117(constB97) | v122(constB97)))),
% 15.13/10.38 inference(quant_inst,[status(thm)],[])).
% 15.13/10.38 tff(16019,plain,
% 15.13/10.38 (v116(constB97) <=> (v117(constB97) | v122(constB97))),
% 15.13/10.38 inference(unit_resolution,[status(thm)],[16018, 719])).
% 15.13/10.38 tff(16020,plain,
% 15.13/10.38 ((~![VarCurr: $i] : (v117(VarCurr) <=> (v118(VarCurr) | v121(VarCurr)))) | (v117(constB97) <=> (v118(constB97) | v121(constB97)))),
% 15.13/10.38 inference(quant_inst,[status(thm)],[])).
% 15.13/10.38 tff(16021,plain,
% 15.13/10.38 (v117(constB97) <=> (v118(constB97) | v121(constB97))),
% 15.13/10.38 inference(unit_resolution,[status(thm)],[16020, 834])).
% 15.13/10.38 tff(16022,plain,
% 15.13/10.38 ((~![VarCurr: $i] : (v118(VarCurr) <=> (v119(VarCurr) | v120(VarCurr)))) | (v118(constB97) <=> (v119(constB97) | v120(constB97)))),
% 15.13/10.38 inference(quant_inst,[status(thm)],[])).
% 15.13/10.38 tff(16023,plain,
% 15.13/10.38 (v118(constB97) <=> (v119(constB97) | v120(constB97))),
% 15.13/10.38 inference(unit_resolution,[status(thm)],[16022, 951])).
% 15.13/10.38 tff(16024,plain,
% 15.13/10.38 (((~![VarCurr: $i] : (v120(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)))))) | (v120(constB97) <=> (~(v90(constB97, bitIndex2) | v90(constB97, bitIndex1) | (~v90(constB97, bitIndex0)))))) <=> ((~![VarCurr: $i] : (v120(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)))))) | (v120(constB97) <=> (~(v90(constB97, bitIndex2) | v90(constB97, bitIndex1) | (~v90(constB97, bitIndex0))))))),
% 15.13/10.38 inference(rewrite,[status(thm)],[])).
% 15.13/10.38 tff(16025,plain,
% 15.13/10.38 ((v120(constB97) <=> (~(v90(constB97, bitIndex1) | v90(constB97, bitIndex2) | (~v90(constB97, bitIndex0))))) <=> (v120(constB97) <=> (~(v90(constB97, bitIndex2) | v90(constB97, bitIndex1) | (~v90(constB97, bitIndex0)))))),
% 15.13/10.38 inference(rewrite,[status(thm)],[])).
% 15.13/10.38 tff(16026,plain,
% 15.13/10.38 (((~![VarCurr: $i] : (v120(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)))))) | (v120(constB97) <=> (~(v90(constB97, bitIndex1) | v90(constB97, bitIndex2) | (~v90(constB97, bitIndex0)))))) <=> ((~![VarCurr: $i] : (v120(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)))))) | (v120(constB97) <=> (~(v90(constB97, bitIndex2) | v90(constB97, bitIndex1) | (~v90(constB97, bitIndex0))))))),
% 15.13/10.38 inference(monotonicity,[status(thm)],[16025])).
% 15.13/10.38 tff(16027,plain,
% 15.13/10.38 (((~![VarCurr: $i] : (v120(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)))))) | (v120(constB97) <=> (~(v90(constB97, bitIndex1) | v90(constB97, bitIndex2) | (~v90(constB97, bitIndex0)))))) <=> ((~![VarCurr: $i] : (v120(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)))))) | (v120(constB97) <=> (~(v90(constB97, bitIndex2) | v90(constB97, bitIndex1) | (~v90(constB97, bitIndex0))))))),
% 15.13/10.38 inference(transitivity,[status(thm)],[16026, 16024])).
% 15.13/10.38 tff(16028,plain,
% 15.13/10.38 ((~![VarCurr: $i] : (v120(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)))))) | (v120(constB97) <=> (~(v90(constB97, bitIndex1) | v90(constB97, bitIndex2) | (~v90(constB97, bitIndex0)))))),
% 15.13/10.38 inference(quant_inst,[status(thm)],[])).
% 15.13/10.38 tff(16029,plain,
% 15.13/10.38 ((~![VarCurr: $i] : (v120(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)))))) | (v120(constB97) <=> (~(v90(constB97, bitIndex2) | v90(constB97, bitIndex1) | (~v90(constB97, bitIndex0)))))),
% 15.13/10.38 inference(modus_ponens,[status(thm)],[16028, 16027])).
% 15.13/10.38 tff(16030,plain,
% 15.13/10.38 (v120(constB97) <=> (~(v90(constB97, bitIndex2) | v90(constB97, bitIndex1) | (~v90(constB97, bitIndex0))))),
% 15.13/10.38 inference(unit_resolution,[status(thm)],[16029, 966])).
% 15.13/10.38 tff(16031,plain,
% 15.13/10.38 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB96, constB97)) | (v100(constB97) <=> (~((~v101(constB97)) | (~v110(constB97))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB96, constB97)) | (v100(constB97) <=> (~((~v101(constB97)) | (~v110(constB97))))))),
% 15.13/10.38 inference(rewrite,[status(thm)],[])).
% 15.13/10.38 tff(16032,plain,
% 15.13/10.38 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB96, constB97)) | (v100(constB97) <=> (~((~v101(constB97)) | (~v110(constB97))))))),
% 15.13/10.38 inference(quant_inst,[status(thm)],[])).
% 15.13/10.38 tff(16033,plain,
% 15.13/10.38 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB96, constB97)) | (v100(constB97) <=> (~((~v101(constB97)) | (~v110(constB97)))))),
% 15.13/10.38 inference(modus_ponens,[status(thm)],[16032, 16031])).
% 15.13/10.38 tff(16034,plain,
% 15.13/10.38 (v100(constB97) <=> (~((~v101(constB97)) | (~v110(constB97))))),
% 15.13/10.38 inference(unit_resolution,[status(thm)],[16033, 73, 430])).
% 15.13/10.38 tff(16035,plain,
% 15.13/10.38 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB96, constB97)) | (v101(constB97) <=> (~((~v1(constB97)) | (~v102(constB97))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB96, constB97)) | (v101(constB97) <=> (~((~v1(constB97)) | (~v102(constB97))))))),
% 15.13/10.38 inference(rewrite,[status(thm)],[])).
% 15.13/10.38 tff(16036,plain,
% 15.13/10.38 (((~nextState(constB96, constB97)) | (v101(constB97) <=> (~((~v102(constB97)) | (~v1(constB97)))))) <=> ((~nextState(constB96, constB97)) | (v101(constB97) <=> (~((~v1(constB97)) | (~v102(constB97))))))),
% 15.13/10.38 inference(rewrite,[status(thm)],[])).
% 15.13/10.38 tff(16037,plain,
% 15.13/10.38 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB96, constB97)) | (v101(constB97) <=> (~((~v102(constB97)) | (~v1(constB97))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB96, constB97)) | (v101(constB97) <=> (~((~v1(constB97)) | (~v102(constB97)))))))),
% 15.13/10.38 inference(monotonicity,[status(thm)],[16036])).
% 15.13/10.38 tff(16038,plain,
% 15.13/10.38 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB96, constB97)) | (v101(constB97) <=> (~((~v102(constB97)) | (~v1(constB97))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB96, constB97)) | (v101(constB97) <=> (~((~v1(constB97)) | (~v102(constB97))))))),
% 15.13/10.38 inference(transitivity,[status(thm)],[16037, 16035])).
% 15.13/10.38 tff(16039,plain,
% 15.13/10.38 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB96, constB97)) | (v101(constB97) <=> (~((~v102(constB97)) | (~v1(constB97))))))),
% 15.13/10.38 inference(quant_inst,[status(thm)],[])).
% 15.13/10.38 tff(16040,plain,
% 15.13/10.38 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB96, constB97)) | (v101(constB97) <=> (~((~v1(constB97)) | (~v102(constB97)))))),
% 15.13/10.38 inference(modus_ponens,[status(thm)],[16039, 16038])).
% 15.13/10.38 tff(16041,plain,
% 15.13/10.38 (v101(constB97) <=> (~((~v1(constB97)) | (~v102(constB97))))),
% 15.13/10.38 inference(unit_resolution,[status(thm)],[16040, 73, 450])).
% 15.13/10.38 tff(16042,plain,
% 15.13/10.38 (((~v1(constB97)) | (~v102(constB97))) | v1(constB97)),
% 15.13/10.38 inference(tautology,[status(thm)],[])).
% 15.13/10.38 tff(16043,plain,
% 15.13/10.38 ((~v1(constB97)) | (~v102(constB97))),
% 15.13/10.38 inference(unit_resolution,[status(thm)],[16042, 15990])).
% 15.13/10.38 tff(16044,plain,
% 15.13/10.38 ((~(v101(constB97) <=> (~((~v1(constB97)) | (~v102(constB97)))))) | (~v101(constB97)) | (~((~v1(constB97)) | (~v102(constB97))))),
% 15.13/10.38 inference(tautology,[status(thm)],[])).
% 15.13/10.38 tff(16045,plain,
% 15.13/10.38 ((~(v101(constB97) <=> (~((~v1(constB97)) | (~v102(constB97)))))) | (~v101(constB97))),
% 15.13/10.38 inference(unit_resolution,[status(thm)],[16044, 16043])).
% 15.13/10.38 tff(16046,plain,
% 15.13/10.38 (~v101(constB97)),
% 15.13/10.38 inference(unit_resolution,[status(thm)],[16045, 16041])).
% 15.13/10.38 tff(16047,plain,
% 15.13/10.38 (((~v101(constB97)) | (~v110(constB97))) | v101(constB97)),
% 15.13/10.38 inference(tautology,[status(thm)],[])).
% 15.13/10.38 tff(16048,plain,
% 15.13/10.38 ((~v101(constB97)) | (~v110(constB97))),
% 15.13/10.38 inference(unit_resolution,[status(thm)],[16047, 16046])).
% 15.13/10.38 tff(16049,plain,
% 15.13/10.38 ((~(v100(constB97) <=> (~((~v101(constB97)) | (~v110(constB97)))))) | (~v100(constB97)) | (~((~v101(constB97)) | (~v110(constB97))))),
% 15.13/10.38 inference(tautology,[status(thm)],[])).
% 15.13/10.38 tff(16050,plain,
% 15.13/10.38 (~v100(constB97)),
% 15.13/10.38 inference(unit_resolution,[status(thm)],[16049, 16048, 16034])).
% 15.13/10.38 tff(16051,plain,
% 15.13/10.38 (((~![VarCurr: $i, VarNext: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v90(VarCurr, B))))) | (v100(constB97) | (~nextState(constB96, constB97)) | ![B: $i] : ((~less_3(B)) | (v90(constB97, B) <=> v90(constB96, B))))) <=> ((~![VarCurr: $i, VarNext: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v90(VarCurr, B))))) | v100(constB97) | (~nextState(constB96, constB97)) | ![B: $i] : ((~less_3(B)) | (v90(constB97, B) <=> v90(constB96, B))))),
% 15.13/10.38 inference(rewrite,[status(thm)],[])).
% 15.13/10.38 tff(16052,plain,
% 15.13/10.38 ((~![VarCurr: $i, VarNext: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v90(VarCurr, B))))) | (v100(constB97) | (~nextState(constB96, constB97)) | ![B: $i] : ((~less_3(B)) | (v90(constB97, B) <=> v90(constB96, B))))),
% 15.13/10.38 inference(quant_inst,[status(thm)],[])).
% 15.13/10.38 tff(16053,plain,
% 15.13/10.38 ((~![VarCurr: $i, VarNext: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v90(VarCurr, B))))) | v100(constB97) | (~nextState(constB96, constB97)) | ![B: $i] : ((~less_3(B)) | (v90(constB97, B) <=> v90(constB96, B)))),
% 15.13/10.38 inference(modus_ponens,[status(thm)],[16052, 16051])).
% 15.13/10.38 tff(16054,plain,
% 15.13/10.38 (v100(constB97) | ![B: $i] : ((~less_3(B)) | (v90(constB97, B) <=> v90(constB96, B)))),
% 15.13/10.38 inference(unit_resolution,[status(thm)],[16053, 73, 479])).
% 15.13/10.38 tff(16055,plain,
% 15.13/10.38 (![B: $i] : ((~less_3(B)) | (v90(constB97, B) <=> v90(constB96, B)))),
% 15.13/10.38 inference(unit_resolution,[status(thm)],[16054, 16050])).
% 15.13/10.38 tff(16056,plain,
% 15.13/10.38 (((~![B: $i] : ((~less_3(B)) | (v90(constB97, B) <=> v90(constB96, B)))) | ((~less_3(bitIndex2)) | (v90(constB97, bitIndex2) <=> v90(constB96, bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v90(constB97, B) <=> v90(constB96, B)))) | (~less_3(bitIndex2)) | (v90(constB97, bitIndex2) <=> v90(constB96, bitIndex2)))),
% 15.13/10.38 inference(rewrite,[status(thm)],[])).
% 15.13/10.38 tff(16057,plain,
% 15.13/10.38 ((~![B: $i] : ((~less_3(B)) | (v90(constB97, B) <=> v90(constB96, B)))) | ((~less_3(bitIndex2)) | (v90(constB97, bitIndex2) <=> v90(constB96, bitIndex2)))),
% 15.13/10.38 inference(quant_inst,[status(thm)],[])).
% 15.13/10.38 tff(16058,plain,
% 15.13/10.38 ((~![B: $i] : ((~less_3(B)) | (v90(constB97, B) <=> v90(constB96, B)))) | (~less_3(bitIndex2)) | (v90(constB97, bitIndex2) <=> v90(constB96, bitIndex2))),
% 15.13/10.38 inference(modus_ponens,[status(thm)],[16057, 16056])).
% 15.13/10.38 tff(16059,plain,
% 15.13/10.38 (v90(constB97, bitIndex2) <=> v90(constB96, bitIndex2)),
% 15.13/10.38 inference(unit_resolution,[status(thm)],[16058, 413, 16055])).
% 15.13/10.38 tff(16060,plain,
% 15.13/10.38 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB95, constB96)) | (v100(constB96) <=> (~((~v101(constB96)) | (~v110(constB96))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB95, constB96)) | (v100(constB96) <=> (~((~v101(constB96)) | (~v110(constB96))))))),
% 15.13/10.38 inference(rewrite,[status(thm)],[])).
% 15.13/10.38 tff(16061,plain,
% 15.13/10.38 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB95, constB96)) | (v100(constB96) <=> (~((~v101(constB96)) | (~v110(constB96))))))),
% 15.13/10.38 inference(quant_inst,[status(thm)],[])).
% 15.13/10.38 tff(16062,plain,
% 15.13/10.38 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB95, constB96)) | (v100(constB96) <=> (~((~v101(constB96)) | (~v110(constB96)))))),
% 15.13/10.38 inference(modus_ponens,[status(thm)],[16061, 16060])).
% 15.13/10.38 tff(16063,plain,
% 15.13/10.38 (v100(constB96) <=> (~((~v101(constB96)) | (~v110(constB96))))),
% 15.13/10.38 inference(unit_resolution,[status(thm)],[16062, 173, 430])).
% 15.13/10.38 tff(16064,plain,
% 15.13/10.38 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB95, constB96)) | (v101(constB96) <=> (~((~v1(constB96)) | (~v102(constB96))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB95, constB96)) | (v101(constB96) <=> (~((~v1(constB96)) | (~v102(constB96))))))),
% 15.13/10.38 inference(rewrite,[status(thm)],[])).
% 15.13/10.38 tff(16065,plain,
% 15.13/10.38 (((~nextState(constB95, constB96)) | (v101(constB96) <=> (~((~v102(constB96)) | (~v1(constB96)))))) <=> ((~nextState(constB95, constB96)) | (v101(constB96) <=> (~((~v1(constB96)) | (~v102(constB96))))))),
% 15.13/10.38 inference(rewrite,[status(thm)],[])).
% 15.13/10.38 tff(16066,plain,
% 15.13/10.38 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB95, constB96)) | (v101(constB96) <=> (~((~v102(constB96)) | (~v1(constB96))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB95, constB96)) | (v101(constB96) <=> (~((~v1(constB96)) | (~v102(constB96)))))))),
% 15.13/10.38 inference(monotonicity,[status(thm)],[16065])).
% 15.13/10.38 tff(16067,plain,
% 15.13/10.38 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB95, constB96)) | (v101(constB96) <=> (~((~v102(constB96)) | (~v1(constB96))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB95, constB96)) | (v101(constB96) <=> (~((~v1(constB96)) | (~v102(constB96))))))),
% 15.13/10.38 inference(transitivity,[status(thm)],[16066, 16064])).
% 15.13/10.38 tff(16068,plain,
% 15.13/10.38 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB95, constB96)) | (v101(constB96) <=> (~((~v102(constB96)) | (~v1(constB96))))))),
% 15.13/10.38 inference(quant_inst,[status(thm)],[])).
% 15.13/10.38 tff(16069,plain,
% 15.13/10.38 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB95, constB96)) | (v101(constB96) <=> (~((~v1(constB96)) | (~v102(constB96)))))),
% 15.13/10.38 inference(modus_ponens,[status(thm)],[16068, 16067])).
% 15.13/10.38 tff(16070,plain,
% 15.13/10.38 (v101(constB96) <=> (~((~v1(constB96)) | (~v102(constB96))))),
% 15.13/10.38 inference(unit_resolution,[status(thm)],[16069, 173, 450])).
% 15.13/10.38 tff(16071,plain,
% 15.13/10.38 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | ((~nextState(constB95, constB96)) | ((~v102(constB96)) <=> v104(constB96)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | (~nextState(constB95, constB96)) | ((~v102(constB96)) <=> v104(constB96)))),
% 15.13/10.38 inference(rewrite,[status(thm)],[])).
% 15.13/10.38 tff(16072,plain,
% 15.13/10.38 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | ((~nextState(constB95, constB96)) | ((~v102(constB96)) <=> v104(constB96)))),
% 15.13/10.38 inference(quant_inst,[status(thm)],[])).
% 15.13/10.38 tff(16073,plain,
% 15.13/10.38 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | (~nextState(constB95, constB96)) | ((~v102(constB96)) <=> v104(constB96))),
% 15.13/10.38 inference(modus_ponens,[status(thm)],[16072, 16071])).
% 15.13/10.38 tff(16074,plain,
% 15.13/10.38 ((~v102(constB96)) <=> v104(constB96)),
% 15.13/10.38 inference(unit_resolution,[status(thm)],[16073, 173, 512])).
% 15.13/10.38 tff(16075,plain,
% 15.13/10.38 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB95, constB96)) | (v104(constB96) <=> v1(constB95)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | (~nextState(constB95, constB96)) | (v104(constB96) <=> v1(constB95)))),
% 15.13/10.38 inference(rewrite,[status(thm)],[])).
% 15.13/10.38 tff(16076,plain,
% 15.13/10.38 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB95, constB96)) | (v104(constB96) <=> v1(constB95)))),
% 15.13/10.38 inference(quant_inst,[status(thm)],[])).
% 15.13/10.38 tff(16077,plain,
% 15.13/10.38 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | (~nextState(constB95, constB96)) | (v104(constB96) <=> v1(constB95))),
% 15.13/10.38 inference(modus_ponens,[status(thm)],[16076, 16075])).
% 15.13/10.38 tff(16078,plain,
% 15.13/10.38 (v104(constB96) <=> v1(constB95)),
% 15.13/10.38 inference(unit_resolution,[status(thm)],[16077, 173, 526])).
% 15.13/10.38 tff(16079,plain,
% 15.13/10.38 ((~(v104(constB96) <=> v1(constB95))) | (~v104(constB96)) | v1(constB95)),
% 15.13/10.38 inference(tautology,[status(thm)],[])).
% 15.13/10.38 tff(16080,plain,
% 15.13/10.38 ((~(v104(constB96) <=> v1(constB95))) | (~v104(constB96))),
% 15.13/10.38 inference(unit_resolution,[status(thm)],[16079, 316])).
% 15.13/10.38 tff(16081,plain,
% 15.13/10.38 (~v104(constB96)),
% 15.13/10.38 inference(unit_resolution,[status(thm)],[16080, 16078])).
% 15.13/10.38 tff(16082,plain,
% 15.13/10.38 ((~((~v102(constB96)) <=> v104(constB96))) | v102(constB96) | v104(constB96)),
% 15.13/10.38 inference(tautology,[status(thm)],[])).
% 15.13/10.38 tff(16083,plain,
% 15.13/10.38 (v102(constB96)),
% 15.13/10.38 inference(unit_resolution,[status(thm)],[16082, 16081, 16074])).
% 15.13/10.38 tff(16084,plain,
% 15.13/10.38 ((~((~v1(constB96)) | (~v102(constB96)))) | (~v1(constB96)) | (~v102(constB96))),
% 15.13/10.38 inference(tautology,[status(thm)],[])).
% 15.13/10.38 tff(16085,plain,
% 15.13/10.38 ((~((~v1(constB96)) | (~v102(constB96)))) | (~v102(constB96))),
% 15.13/10.38 inference(unit_resolution,[status(thm)],[16084, 134])).
% 15.13/10.38 tff(16086,plain,
% 15.13/10.38 (~((~v1(constB96)) | (~v102(constB96)))),
% 15.13/10.38 inference(unit_resolution,[status(thm)],[16085, 16083])).
% 15.13/10.38 tff(16087,plain,
% 15.13/10.38 ((~(v101(constB96) <=> (~((~v1(constB96)) | (~v102(constB96)))))) | v101(constB96) | ((~v1(constB96)) | (~v102(constB96)))),
% 15.13/10.38 inference(tautology,[status(thm)],[])).
% 15.13/10.38 tff(16088,plain,
% 15.13/10.38 (v101(constB96)),
% 15.13/10.38 inference(unit_resolution,[status(thm)],[16087, 16086, 16070])).
% 15.13/10.38 tff(16089,plain,
% 15.13/10.38 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | ((~nextState(constB95, constB96)) | (v110(constB96) <=> v108(constB95)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | (~nextState(constB95, constB96)) | (v110(constB96) <=> v108(constB95)))),
% 15.13/10.38 inference(rewrite,[status(thm)],[])).
% 15.13/10.38 tff(16090,plain,
% 15.13/10.38 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | ((~nextState(constB95, constB96)) | (v110(constB96) <=> v108(constB95)))),
% 15.13/10.38 inference(quant_inst,[status(thm)],[])).
% 15.13/10.38 tff(16091,plain,
% 15.13/10.38 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | (~nextState(constB95, constB96)) | (v110(constB96) <=> v108(constB95))),
% 15.13/10.38 inference(modus_ponens,[status(thm)],[16090, 16089])).
% 15.13/10.38 tff(16092,plain,
% 15.13/10.38 (v110(constB96) <=> v108(constB95)),
% 15.13/10.38 inference(unit_resolution,[status(thm)],[16091, 173, 556])).
% 15.13/10.38 tff(16093,plain,
% 15.13/10.38 ((~![VarCurr: $i] : (v108(VarCurr) <=> (v111(VarCurr) | v112(VarCurr)))) | (v108(constB95) <=> (v111(constB95) | v112(constB95)))),
% 15.13/10.38 inference(quant_inst,[status(thm)],[])).
% 15.13/10.38 tff(16094,plain,
% 15.13/10.38 (v108(constB95) <=> (v111(constB95) | v112(constB95))),
% 15.13/10.38 inference(unit_resolution,[status(thm)],[16093, 567])).
% 15.13/10.38 tff(16095,plain,
% 15.13/10.38 ((~![VarCurr: $i] : (v112(VarCurr) <=> (~((~v113(VarCurr)) | (~v126(VarCurr)))))) | (v112(constB95) <=> (~((~v113(constB95)) | (~v126(constB95)))))),
% 15.13/10.38 inference(quant_inst,[status(thm)],[])).
% 15.13/10.38 tff(16096,plain,
% 15.13/10.38 (v112(constB95) <=> (~((~v113(constB95)) | (~v126(constB95))))),
% 15.13/10.38 inference(unit_resolution,[status(thm)],[16095, 579])).
% 15.13/10.38 tff(16097,plain,
% 15.13/10.38 ((~![VarCurr: $i] : (v113(VarCurr) <=> (v114(VarCurr) | v125(VarCurr)))) | (v113(constB95) <=> (v114(constB95) | v125(constB95)))),
% 15.13/10.38 inference(quant_inst,[status(thm)],[])).
% 15.13/10.38 tff(16098,plain,
% 15.13/10.38 (v113(constB95) <=> (v114(constB95) | v125(constB95))),
% 15.13/10.38 inference(unit_resolution,[status(thm)],[16097, 588])).
% 15.13/10.38 tff(16099,plain,
% 15.13/10.38 (((~![VarCurr: $i] : (v125(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2)))))) | (v125(constB95) <=> (~((~v90(constB95, bitIndex2)) | (~v90(constB95, bitIndex1)) | v90(constB95, bitIndex0))))) <=> ((~![VarCurr: $i] : (v125(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2)))))) | (v125(constB95) <=> (~((~v90(constB95, bitIndex2)) | (~v90(constB95, bitIndex1)) | v90(constB95, bitIndex0)))))),
% 15.13/10.39 inference(rewrite,[status(thm)],[])).
% 15.13/10.39 tff(16100,plain,
% 15.13/10.39 ((v125(constB95) <=> (~(v90(constB95, bitIndex0) | (~v90(constB95, bitIndex1)) | (~v90(constB95, bitIndex2))))) <=> (v125(constB95) <=> (~((~v90(constB95, bitIndex2)) | (~v90(constB95, bitIndex1)) | v90(constB95, bitIndex0))))),
% 15.13/10.39 inference(rewrite,[status(thm)],[])).
% 15.13/10.39 tff(16101,plain,
% 15.13/10.39 (((~![VarCurr: $i] : (v125(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2)))))) | (v125(constB95) <=> (~(v90(constB95, bitIndex0) | (~v90(constB95, bitIndex1)) | (~v90(constB95, bitIndex2)))))) <=> ((~![VarCurr: $i] : (v125(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2)))))) | (v125(constB95) <=> (~((~v90(constB95, bitIndex2)) | (~v90(constB95, bitIndex1)) | v90(constB95, bitIndex0)))))),
% 15.13/10.39 inference(monotonicity,[status(thm)],[16100])).
% 15.13/10.39 tff(16102,plain,
% 15.13/10.39 (((~![VarCurr: $i] : (v125(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2)))))) | (v125(constB95) <=> (~(v90(constB95, bitIndex0) | (~v90(constB95, bitIndex1)) | (~v90(constB95, bitIndex2)))))) <=> ((~![VarCurr: $i] : (v125(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2)))))) | (v125(constB95) <=> (~((~v90(constB95, bitIndex2)) | (~v90(constB95, bitIndex1)) | v90(constB95, bitIndex0)))))),
% 15.13/10.39 inference(transitivity,[status(thm)],[16101, 16099])).
% 15.13/10.39 tff(16103,plain,
% 15.13/10.39 ((~![VarCurr: $i] : (v125(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2)))))) | (v125(constB95) <=> (~(v90(constB95, bitIndex0) | (~v90(constB95, bitIndex1)) | (~v90(constB95, bitIndex2)))))),
% 15.13/10.39 inference(quant_inst,[status(thm)],[])).
% 15.13/10.39 tff(16104,plain,
% 15.13/10.39 ((~![VarCurr: $i] : (v125(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2)))))) | (v125(constB95) <=> (~((~v90(constB95, bitIndex2)) | (~v90(constB95, bitIndex1)) | v90(constB95, bitIndex0))))),
% 15.13/10.39 inference(modus_ponens,[status(thm)],[16103, 16102])).
% 15.13/10.39 tff(16105,plain,
% 15.13/10.39 (v125(constB95) <=> (~((~v90(constB95, bitIndex2)) | (~v90(constB95, bitIndex1)) | v90(constB95, bitIndex0)))),
% 15.13/10.39 inference(unit_resolution,[status(thm)],[16104, 1066])).
% 15.13/10.39 tff(16106,plain,
% 15.13/10.39 ((~((~v90(constB95, bitIndex2)) | (~v90(constB95, bitIndex1)) | v90(constB95, bitIndex0))) | (~v90(constB95, bitIndex2)) | (~v90(constB95, bitIndex1)) | v90(constB95, bitIndex0)),
% 15.13/10.39 inference(tautology,[status(thm)],[])).
% 15.13/10.39 tff(16107,plain,
% 15.13/10.39 (~((~v90(constB95, bitIndex2)) | (~v90(constB95, bitIndex1)) | v90(constB95, bitIndex0))),
% 15.13/10.39 inference(unit_resolution,[status(thm)],[16106, 13037, 13000, 12963])).
% 15.13/10.39 tff(16108,plain,
% 15.13/10.39 ((~(v125(constB95) <=> (~((~v90(constB95, bitIndex2)) | (~v90(constB95, bitIndex1)) | v90(constB95, bitIndex0))))) | v125(constB95) | ((~v90(constB95, bitIndex2)) | (~v90(constB95, bitIndex1)) | v90(constB95, bitIndex0))),
% 15.13/10.39 inference(tautology,[status(thm)],[])).
% 15.13/10.39 tff(16109,plain,
% 15.13/10.39 (v125(constB95)),
% 15.13/10.39 inference(unit_resolution,[status(thm)],[16108, 16107, 16105])).
% 15.13/10.39 tff(16110,plain,
% 15.13/10.39 ((v114(constB95) | v125(constB95)) | (~v125(constB95))),
% 15.13/10.39 inference(tautology,[status(thm)],[])).
% 15.13/10.39 tff(16111,plain,
% 15.13/10.39 (v114(constB95) | v125(constB95)),
% 15.13/10.39 inference(unit_resolution,[status(thm)],[16110, 16109])).
% 15.13/10.39 tff(16112,plain,
% 15.13/10.39 ((~(v113(constB95) <=> (v114(constB95) | v125(constB95)))) | v113(constB95) | (~(v114(constB95) | v125(constB95)))),
% 15.13/10.39 inference(tautology,[status(thm)],[])).
% 15.13/10.39 tff(16113,plain,
% 15.13/10.39 (v113(constB95)),
% 15.13/10.39 inference(unit_resolution,[status(thm)],[16112, 16111, 16098])).
% 15.13/10.39 tff(16114,plain,
% 15.13/10.39 ((~![VarCurr: $i] : ((~v126(VarCurr)) <=> v111(VarCurr))) | ((~v126(constB95)) <=> v111(constB95))),
% 15.13/10.39 inference(quant_inst,[status(thm)],[])).
% 15.13/10.39 tff(16115,plain,
% 15.13/10.39 ((~v126(constB95)) <=> v111(constB95)),
% 15.13/10.39 inference(unit_resolution,[status(thm)],[16114, 5074])).
% 15.13/10.39 tff(16116,plain,
% 15.13/10.39 ((~![VarCurr: $i] : (v111(VarCurr) <=> v26(VarCurr))) | (v111(constB95) <=> v26(constB95))),
% 15.13/10.39 inference(quant_inst,[status(thm)],[])).
% 15.13/10.39 tff(16117,plain,
% 15.13/10.39 (v111(constB95) <=> v26(constB95)),
% 15.13/10.39 inference(unit_resolution,[status(thm)],[16116, 5086])).
% 15.13/10.39 tff(16118,plain,
% 15.13/10.39 ((~![VarCurr: $i] : (~v26(VarCurr))) | (~v26(constB95))),
% 15.13/10.39 inference(quant_inst,[status(thm)],[])).
% 15.13/10.39 tff(16119,plain,
% 15.13/10.39 (~v26(constB95)),
% 15.13/10.39 inference(unit_resolution,[status(thm)],[16118, 5098])).
% 15.13/10.39 tff(16120,plain,
% 15.13/10.39 ((~(v111(constB95) <=> v26(constB95))) | (~v111(constB95)) | v26(constB95)),
% 15.13/10.39 inference(tautology,[status(thm)],[])).
% 15.13/10.39 tff(16121,plain,
% 15.13/10.39 ((~(v111(constB95) <=> v26(constB95))) | (~v111(constB95))),
% 15.13/10.39 inference(unit_resolution,[status(thm)],[16120, 16119])).
% 15.13/10.39 tff(16122,plain,
% 15.13/10.39 (~v111(constB95)),
% 15.13/10.39 inference(unit_resolution,[status(thm)],[16121, 16117])).
% 15.13/10.39 tff(16123,plain,
% 15.13/10.39 ((~((~v126(constB95)) <=> v111(constB95))) | v126(constB95) | v111(constB95)),
% 15.13/10.39 inference(tautology,[status(thm)],[])).
% 15.13/10.39 tff(16124,plain,
% 15.13/10.39 ((~((~v126(constB95)) <=> v111(constB95))) | v126(constB95)),
% 15.13/10.39 inference(unit_resolution,[status(thm)],[16123, 16122])).
% 15.13/10.39 tff(16125,plain,
% 15.13/10.39 (v126(constB95)),
% 15.13/10.39 inference(unit_resolution,[status(thm)],[16124, 16115])).
% 15.13/10.39 tff(16126,plain,
% 15.13/10.39 ((~((~v113(constB95)) | (~v126(constB95)))) | (~v113(constB95)) | (~v126(constB95))),
% 15.13/10.39 inference(tautology,[status(thm)],[])).
% 15.13/10.39 tff(16127,plain,
% 15.13/10.39 ((~((~v113(constB95)) | (~v126(constB95)))) | (~v113(constB95))),
% 15.13/10.39 inference(unit_resolution,[status(thm)],[16126, 16125])).
% 15.13/10.39 tff(16128,plain,
% 15.13/10.39 (~((~v113(constB95)) | (~v126(constB95)))),
% 15.13/10.39 inference(unit_resolution,[status(thm)],[16127, 16113])).
% 15.13/10.39 tff(16129,plain,
% 15.13/10.39 ((~(v112(constB95) <=> (~((~v113(constB95)) | (~v126(constB95)))))) | v112(constB95) | ((~v113(constB95)) | (~v126(constB95)))),
% 15.13/10.39 inference(tautology,[status(thm)],[])).
% 15.13/10.39 tff(16130,plain,
% 15.13/10.39 (v112(constB95)),
% 15.13/10.39 inference(unit_resolution,[status(thm)],[16129, 16128, 16096])).
% 15.13/10.39 tff(16131,plain,
% 15.13/10.39 ((v111(constB95) | v112(constB95)) | (~v112(constB95))),
% 15.13/10.39 inference(tautology,[status(thm)],[])).
% 15.13/10.39 tff(16132,plain,
% 15.13/10.39 (v111(constB95) | v112(constB95)),
% 15.13/10.39 inference(unit_resolution,[status(thm)],[16131, 16130])).
% 15.13/10.39 tff(16133,plain,
% 15.13/10.39 ((~(v108(constB95) <=> (v111(constB95) | v112(constB95)))) | v108(constB95) | (~(v111(constB95) | v112(constB95)))),
% 15.13/10.39 inference(tautology,[status(thm)],[])).
% 15.13/10.39 tff(16134,plain,
% 15.13/10.39 (v108(constB95)),
% 15.13/10.39 inference(unit_resolution,[status(thm)],[16133, 16132, 16094])).
% 15.13/10.39 tff(16135,plain,
% 15.13/10.39 ((~(v110(constB96) <=> v108(constB95))) | v110(constB96) | (~v108(constB95))),
% 15.13/10.39 inference(tautology,[status(thm)],[])).
% 15.13/10.39 tff(16136,plain,
% 15.13/10.39 (v110(constB96)),
% 15.13/10.39 inference(unit_resolution,[status(thm)],[16135, 16134, 16092])).
% 15.13/10.39 tff(16137,plain,
% 15.13/10.39 ((~((~v101(constB96)) | (~v110(constB96)))) | (~v101(constB96)) | (~v110(constB96))),
% 15.13/10.39 inference(tautology,[status(thm)],[])).
% 15.13/10.39 tff(16138,plain,
% 15.13/10.39 (~((~v101(constB96)) | (~v110(constB96)))),
% 15.13/10.39 inference(unit_resolution,[status(thm)],[16137, 16136, 16088])).
% 15.13/10.39 tff(16139,plain,
% 15.13/10.39 ((~(v100(constB96) <=> (~((~v101(constB96)) | (~v110(constB96)))))) | v100(constB96) | ((~v101(constB96)) | (~v110(constB96)))),
% 15.13/10.39 inference(tautology,[status(thm)],[])).
% 15.13/10.39 tff(16140,plain,
% 15.13/10.39 (v100(constB96)),
% 15.13/10.39 inference(unit_resolution,[status(thm)],[16139, 16138, 16063])).
% 15.13/10.39 tff(16141,plain,
% 15.13/10.39 (((~![VarNext: $i] : ((~v100(VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v129(VarNext, B))))) | ((~v100(constB96)) | ![B: $i] : ((~less_3(B)) | (v90(constB96, B) <=> v129(constB96, B))))) <=> ((~![VarNext: $i] : ((~v100(VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v129(VarNext, B))))) | (~v100(constB96)) | ![B: $i] : ((~less_3(B)) | (v90(constB96, B) <=> v129(constB96, B))))),
% 15.13/10.39 inference(rewrite,[status(thm)],[])).
% 15.13/10.39 tff(16142,plain,
% 15.13/10.39 ((~![VarNext: $i] : ((~v100(VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v129(VarNext, B))))) | ((~v100(constB96)) | ![B: $i] : ((~less_3(B)) | (v90(constB96, B) <=> v129(constB96, B))))),
% 15.13/10.39 inference(quant_inst,[status(thm)],[])).
% 15.13/10.39 tff(16143,plain,
% 15.13/10.39 ((~![VarNext: $i] : ((~v100(VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v129(VarNext, B))))) | (~v100(constB96)) | ![B: $i] : ((~less_3(B)) | (v90(constB96, B) <=> v129(constB96, B)))),
% 15.13/10.39 inference(modus_ponens,[status(thm)],[16142, 16141])).
% 15.13/10.39 tff(16144,plain,
% 15.13/10.39 ((~v100(constB96)) | ![B: $i] : ((~less_3(B)) | (v90(constB96, B) <=> v129(constB96, B)))),
% 15.13/10.39 inference(unit_resolution,[status(thm)],[16143, 5134])).
% 15.13/10.39 tff(16145,plain,
% 15.13/10.39 (![B: $i] : ((~less_3(B)) | (v90(constB96, B) <=> v129(constB96, B)))),
% 15.13/10.39 inference(unit_resolution,[status(thm)],[16144, 16140])).
% 15.13/10.39 tff(16146,plain,
% 15.13/10.39 (((~![B: $i] : ((~less_3(B)) | (v90(constB96, B) <=> v129(constB96, B)))) | ((~less_3(bitIndex2)) | (v90(constB96, bitIndex2) <=> v129(constB96, bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v90(constB96, B) <=> v129(constB96, B)))) | (~less_3(bitIndex2)) | (v90(constB96, bitIndex2) <=> v129(constB96, bitIndex2)))),
% 15.13/10.39 inference(rewrite,[status(thm)],[])).
% 15.13/10.39 tff(16147,plain,
% 15.13/10.39 ((~![B: $i] : ((~less_3(B)) | (v90(constB96, B) <=> v129(constB96, B)))) | ((~less_3(bitIndex2)) | (v90(constB96, bitIndex2) <=> v129(constB96, bitIndex2)))),
% 15.13/10.39 inference(quant_inst,[status(thm)],[])).
% 15.13/10.39 tff(16148,plain,
% 15.13/10.39 ((~![B: $i] : ((~less_3(B)) | (v90(constB96, B) <=> v129(constB96, B)))) | (~less_3(bitIndex2)) | (v90(constB96, bitIndex2) <=> v129(constB96, bitIndex2))),
% 15.13/10.39 inference(modus_ponens,[status(thm)],[16147, 16146])).
% 15.13/10.39 tff(16149,plain,
% 15.13/10.39 (v90(constB96, bitIndex2) <=> v129(constB96, bitIndex2)),
% 15.13/10.39 inference(unit_resolution,[status(thm)],[16148, 413, 16145])).
% 15.13/10.39 tff(16150,plain,
% 15.13/10.39 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v129(VarNext, B) <=> v127(VarCurr, B))))) | ((~nextState(constB95, constB96)) | ![B: $i] : ((~less_3(B)) | (v129(constB96, B) <=> v127(constB95, B))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v129(VarNext, B) <=> v127(VarCurr, B))))) | (~nextState(constB95, constB96)) | ![B: $i] : ((~less_3(B)) | (v129(constB96, B) <=> v127(constB95, B))))),
% 15.13/10.39 inference(rewrite,[status(thm)],[])).
% 15.13/10.39 tff(16151,plain,
% 15.13/10.39 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v129(VarNext, B) <=> v127(VarCurr, B))))) | ((~nextState(constB95, constB96)) | ![B: $i] : ((~less_3(B)) | (v129(constB96, B) <=> v127(constB95, B))))),
% 15.13/10.39 inference(quant_inst,[status(thm)],[])).
% 15.13/10.39 tff(16152,plain,
% 15.13/10.39 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v129(VarNext, B) <=> v127(VarCurr, B))))) | (~nextState(constB95, constB96)) | ![B: $i] : ((~less_3(B)) | (v129(constB96, B) <=> v127(constB95, B)))),
% 15.13/10.39 inference(modus_ponens,[status(thm)],[16151, 16150])).
% 15.13/10.39 tff(16153,plain,
% 15.13/10.39 (![B: $i] : ((~less_3(B)) | (v129(constB96, B) <=> v127(constB95, B)))),
% 15.13/10.39 inference(unit_resolution,[status(thm)],[16152, 173, 5156])).
% 15.13/10.39 tff(16154,plain,
% 15.13/10.39 (((~![B: $i] : ((~less_3(B)) | (v129(constB96, B) <=> v127(constB95, B)))) | ((~less_3(bitIndex2)) | (v129(constB96, bitIndex2) <=> v127(constB95, bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v129(constB96, B) <=> v127(constB95, B)))) | (~less_3(bitIndex2)) | (v129(constB96, bitIndex2) <=> v127(constB95, bitIndex2)))),
% 15.13/10.39 inference(rewrite,[status(thm)],[])).
% 15.13/10.39 tff(16155,plain,
% 15.13/10.39 ((~![B: $i] : ((~less_3(B)) | (v129(constB96, B) <=> v127(constB95, B)))) | ((~less_3(bitIndex2)) | (v129(constB96, bitIndex2) <=> v127(constB95, bitIndex2)))),
% 15.13/10.39 inference(quant_inst,[status(thm)],[])).
% 15.13/10.39 tff(16156,plain,
% 15.13/10.39 ((~![B: $i] : ((~less_3(B)) | (v129(constB96, B) <=> v127(constB95, B)))) | (~less_3(bitIndex2)) | (v129(constB96, bitIndex2) <=> v127(constB95, bitIndex2))),
% 15.13/10.39 inference(modus_ponens,[status(thm)],[16155, 16154])).
% 15.13/10.39 tff(16157,plain,
% 15.13/10.39 (v129(constB96, bitIndex2) <=> v127(constB95, bitIndex2)),
% 15.13/10.39 inference(unit_resolution,[status(thm)],[16156, 413, 16153])).
% 15.13/10.39 tff(16158,plain,
% 15.13/10.39 (((~![VarCurr: $i] : (v111(VarCurr) | ![B: $i] : ((~less_3(B)) | (v127(VarCurr, B) <=> v130(VarCurr, B))))) | (v111(constB95) | ![B: $i] : ((~less_3(B)) | (v127(constB95, B) <=> v130(constB95, B))))) <=> ((~![VarCurr: $i] : (v111(VarCurr) | ![B: $i] : ((~less_3(B)) | (v127(VarCurr, B) <=> v130(VarCurr, B))))) | v111(constB95) | ![B: $i] : ((~less_3(B)) | (v127(constB95, B) <=> v130(constB95, B))))),
% 15.13/10.39 inference(rewrite,[status(thm)],[])).
% 15.13/10.39 tff(16159,plain,
% 15.13/10.39 ((~![VarCurr: $i] : (v111(VarCurr) | ![B: $i] : ((~less_3(B)) | (v127(VarCurr, B) <=> v130(VarCurr, B))))) | (v111(constB95) | ![B: $i] : ((~less_3(B)) | (v127(constB95, B) <=> v130(constB95, B))))),
% 15.13/10.39 inference(quant_inst,[status(thm)],[])).
% 15.13/10.39 tff(16160,plain,
% 15.13/10.39 ((~![VarCurr: $i] : (v111(VarCurr) | ![B: $i] : ((~less_3(B)) | (v127(VarCurr, B) <=> v130(VarCurr, B))))) | v111(constB95) | ![B: $i] : ((~less_3(B)) | (v127(constB95, B) <=> v130(constB95, B)))),
% 15.13/10.39 inference(modus_ponens,[status(thm)],[16159, 16158])).
% 15.13/10.39 tff(16161,plain,
% 15.13/10.39 (![B: $i] : ((~less_3(B)) | (v127(constB95, B) <=> v130(constB95, B)))),
% 15.13/10.39 inference(unit_resolution,[status(thm)],[16160, 5177, 16122])).
% 15.13/10.39 tff(16162,plain,
% 15.13/10.39 (((~![B: $i] : ((~less_3(B)) | (v127(constB95, B) <=> v130(constB95, B)))) | ((~less_3(bitIndex2)) | (v127(constB95, bitIndex2) <=> v130(constB95, bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v127(constB95, B) <=> v130(constB95, B)))) | (~less_3(bitIndex2)) | (v127(constB95, bitIndex2) <=> v130(constB95, bitIndex2)))),
% 15.13/10.39 inference(rewrite,[status(thm)],[])).
% 15.13/10.39 tff(16163,plain,
% 15.13/10.39 ((~![B: $i] : ((~less_3(B)) | (v127(constB95, B) <=> v130(constB95, B)))) | ((~less_3(bitIndex2)) | (v127(constB95, bitIndex2) <=> v130(constB95, bitIndex2)))),
% 15.13/10.39 inference(quant_inst,[status(thm)],[])).
% 15.13/10.39 tff(16164,plain,
% 15.13/10.39 ((~![B: $i] : ((~less_3(B)) | (v127(constB95, B) <=> v130(constB95, B)))) | (~less_3(bitIndex2)) | (v127(constB95, bitIndex2) <=> v130(constB95, bitIndex2))),
% 15.13/10.39 inference(modus_ponens,[status(thm)],[16163, 16162])).
% 15.13/10.39 tff(16165,plain,
% 15.13/10.39 (v127(constB95, bitIndex2) <=> v130(constB95, bitIndex2)),
% 15.13/10.39 inference(unit_resolution,[status(thm)],[16164, 413, 16161])).
% 15.13/10.39 tff(16166,plain,
% 15.13/10.39 ((~![VarCurr: $i] : (v119(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))))) | (v119(constB95) <=> (~(v90(constB95, bitIndex0) | v90(constB95, bitIndex1) | v90(constB95, bitIndex2))))),
% 15.13/10.39 inference(quant_inst,[status(thm)],[])).
% 15.13/10.39 tff(16167,plain,
% 15.13/10.39 (v119(constB95) <=> (~(v90(constB95, bitIndex0) | v90(constB95, bitIndex1) | v90(constB95, bitIndex2)))),
% 15.13/10.39 inference(unit_resolution,[status(thm)],[16166, 4971])).
% 15.13/10.39 tff(16168,plain,
% 15.13/10.39 ((v90(constB95, bitIndex0) | v90(constB95, bitIndex1) | v90(constB95, bitIndex2)) | (~v90(constB95, bitIndex2))),
% 15.13/10.39 inference(tautology,[status(thm)],[])).
% 15.13/10.39 tff(16169,plain,
% 15.13/10.39 (v90(constB95, bitIndex0) | v90(constB95, bitIndex1) | v90(constB95, bitIndex2)),
% 15.13/10.39 inference(unit_resolution,[status(thm)],[16168, 12963])).
% 15.13/10.39 tff(16170,plain,
% 15.13/10.39 ((~(v119(constB95) <=> (~(v90(constB95, bitIndex0) | v90(constB95, bitIndex1) | v90(constB95, bitIndex2))))) | (~v119(constB95)) | (~(v90(constB95, bitIndex0) | v90(constB95, bitIndex1) | v90(constB95, bitIndex2)))),
% 15.13/10.39 inference(tautology,[status(thm)],[])).
% 15.13/10.39 tff(16171,plain,
% 15.13/10.39 (~v119(constB95)),
% 15.13/10.39 inference(unit_resolution,[status(thm)],[16170, 16169, 16167])).
% 15.13/10.39 tff(16172,plain,
% 15.13/10.39 (((~![VarCurr: $i] : (v124(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex2)))))) | (v124(constB95) <=> (~((~v90(constB95, bitIndex2)) | v90(constB95, bitIndex1) | (~v90(constB95, bitIndex0)))))) <=> ((~![VarCurr: $i] : (v124(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex2)))))) | (v124(constB95) <=> (~((~v90(constB95, bitIndex2)) | v90(constB95, bitIndex1) | (~v90(constB95, bitIndex0))))))),
% 15.13/10.39 inference(rewrite,[status(thm)],[])).
% 15.13/10.39 tff(16173,plain,
% 15.13/10.39 ((v124(constB95) <=> (~(v90(constB95, bitIndex1) | (~v90(constB95, bitIndex0)) | (~v90(constB95, bitIndex2))))) <=> (v124(constB95) <=> (~((~v90(constB95, bitIndex2)) | v90(constB95, bitIndex1) | (~v90(constB95, bitIndex0)))))),
% 15.13/10.39 inference(rewrite,[status(thm)],[])).
% 15.13/10.39 tff(16174,plain,
% 15.13/10.39 (((~![VarCurr: $i] : (v124(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex2)))))) | (v124(constB95) <=> (~(v90(constB95, bitIndex1) | (~v90(constB95, bitIndex0)) | (~v90(constB95, bitIndex2)))))) <=> ((~![VarCurr: $i] : (v124(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex2)))))) | (v124(constB95) <=> (~((~v90(constB95, bitIndex2)) | v90(constB95, bitIndex1) | (~v90(constB95, bitIndex0))))))),
% 15.13/10.39 inference(monotonicity,[status(thm)],[16173])).
% 15.13/10.39 tff(16175,plain,
% 15.13/10.39 (((~![VarCurr: $i] : (v124(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex2)))))) | (v124(constB95) <=> (~(v90(constB95, bitIndex1) | (~v90(constB95, bitIndex0)) | (~v90(constB95, bitIndex2)))))) <=> ((~![VarCurr: $i] : (v124(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex2)))))) | (v124(constB95) <=> (~((~v90(constB95, bitIndex2)) | v90(constB95, bitIndex1) | (~v90(constB95, bitIndex0))))))),
% 15.13/10.39 inference(transitivity,[status(thm)],[16174, 16172])).
% 15.13/10.39 tff(16176,plain,
% 15.13/10.39 ((~![VarCurr: $i] : (v124(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex2)))))) | (v124(constB95) <=> (~(v90(constB95, bitIndex1) | (~v90(constB95, bitIndex0)) | (~v90(constB95, bitIndex2)))))),
% 15.13/10.39 inference(quant_inst,[status(thm)],[])).
% 15.13/10.39 tff(16177,plain,
% 15.13/10.39 ((~![VarCurr: $i] : (v124(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex2)))))) | (v124(constB95) <=> (~((~v90(constB95, bitIndex2)) | v90(constB95, bitIndex1) | (~v90(constB95, bitIndex0)))))),
% 15.13/10.39 inference(modus_ponens,[status(thm)],[16176, 16175])).
% 15.13/10.39 tff(16178,plain,
% 15.13/10.39 (v124(constB95) <=> (~((~v90(constB95, bitIndex2)) | v90(constB95, bitIndex1) | (~v90(constB95, bitIndex0))))),
% 15.13/10.39 inference(unit_resolution,[status(thm)],[16177, 5539])).
% 15.13/10.39 tff(16179,plain,
% 15.13/10.39 (((~v90(constB95, bitIndex2)) | v90(constB95, bitIndex1) | (~v90(constB95, bitIndex0))) | (~v90(constB95, bitIndex1))),
% 15.13/10.39 inference(tautology,[status(thm)],[])).
% 15.13/10.39 tff(16180,plain,
% 15.13/10.39 ((~v90(constB95, bitIndex2)) | v90(constB95, bitIndex1) | (~v90(constB95, bitIndex0))),
% 15.13/10.39 inference(unit_resolution,[status(thm)],[16179, 13037])).
% 15.13/10.39 tff(16181,plain,
% 15.13/10.39 ((~(v124(constB95) <=> (~((~v90(constB95, bitIndex2)) | v90(constB95, bitIndex1) | (~v90(constB95, bitIndex0)))))) | (~v124(constB95)) | (~((~v90(constB95, bitIndex2)) | v90(constB95, bitIndex1) | (~v90(constB95, bitIndex0))))),
% 15.13/10.39 inference(tautology,[status(thm)],[])).
% 15.13/10.39 tff(16182,plain,
% 15.13/10.39 (~v124(constB95)),
% 15.13/10.39 inference(unit_resolution,[status(thm)],[16181, 16180, 16178])).
% 15.13/10.39 tff(16183,plain,
% 15.13/10.39 (((~![VarCurr: $i] : (v123(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)))))) | (v123(constB95) <=> (~((~v90(constB95, bitIndex2)) | v90(constB95, bitIndex1) | v90(constB95, bitIndex0))))) <=> ((~![VarCurr: $i] : (v123(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)))))) | (v123(constB95) <=> (~((~v90(constB95, bitIndex2)) | v90(constB95, bitIndex1) | v90(constB95, bitIndex0)))))),
% 15.13/10.39 inference(rewrite,[status(thm)],[])).
% 15.13/10.39 tff(16184,plain,
% 15.13/10.39 ((v123(constB95) <=> (~(v90(constB95, bitIndex0) | v90(constB95, bitIndex1) | (~v90(constB95, bitIndex2))))) <=> (v123(constB95) <=> (~((~v90(constB95, bitIndex2)) | v90(constB95, bitIndex1) | v90(constB95, bitIndex0))))),
% 15.13/10.39 inference(rewrite,[status(thm)],[])).
% 15.13/10.39 tff(16185,plain,
% 15.13/10.39 (((~![VarCurr: $i] : (v123(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)))))) | (v123(constB95) <=> (~(v90(constB95, bitIndex0) | v90(constB95, bitIndex1) | (~v90(constB95, bitIndex2)))))) <=> ((~![VarCurr: $i] : (v123(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)))))) | (v123(constB95) <=> (~((~v90(constB95, bitIndex2)) | v90(constB95, bitIndex1) | v90(constB95, bitIndex0)))))),
% 15.13/10.39 inference(monotonicity,[status(thm)],[16184])).
% 15.13/10.39 tff(16186,plain,
% 15.13/10.39 (((~![VarCurr: $i] : (v123(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)))))) | (v123(constB95) <=> (~(v90(constB95, bitIndex0) | v90(constB95, bitIndex1) | (~v90(constB95, bitIndex2)))))) <=> ((~![VarCurr: $i] : (v123(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)))))) | (v123(constB95) <=> (~((~v90(constB95, bitIndex2)) | v90(constB95, bitIndex1) | v90(constB95, bitIndex0)))))),
% 15.13/10.39 inference(transitivity,[status(thm)],[16185, 16183])).
% 15.13/10.39 tff(16187,plain,
% 15.13/10.39 ((~![VarCurr: $i] : (v123(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)))))) | (v123(constB95) <=> (~(v90(constB95, bitIndex0) | v90(constB95, bitIndex1) | (~v90(constB95, bitIndex2)))))),
% 15.13/10.39 inference(quant_inst,[status(thm)],[])).
% 15.13/10.39 tff(16188,plain,
% 15.13/10.39 ((~![VarCurr: $i] : (v123(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)))))) | (v123(constB95) <=> (~((~v90(constB95, bitIndex2)) | v90(constB95, bitIndex1) | v90(constB95, bitIndex0))))),
% 15.13/10.39 inference(modus_ponens,[status(thm)],[16187, 16186])).
% 15.13/10.39 tff(16189,plain,
% 15.13/10.39 (v123(constB95) <=> (~((~v90(constB95, bitIndex2)) | v90(constB95, bitIndex1) | v90(constB95, bitIndex0)))),
% 15.13/10.39 inference(unit_resolution,[status(thm)],[16188, 621])).
% 15.13/10.39 tff(16190,plain,
% 15.13/10.39 (((~v90(constB95, bitIndex2)) | v90(constB95, bitIndex1) | v90(constB95, bitIndex0)) | (~v90(constB95, bitIndex1))),
% 15.13/10.39 inference(tautology,[status(thm)],[])).
% 15.13/10.39 tff(16191,plain,
% 15.13/10.39 ((~v90(constB95, bitIndex2)) | v90(constB95, bitIndex1) | v90(constB95, bitIndex0)),
% 15.13/10.39 inference(unit_resolution,[status(thm)],[16190, 13037])).
% 15.13/10.39 tff(16192,plain,
% 15.13/10.39 ((~(v123(constB95) <=> (~((~v90(constB95, bitIndex2)) | v90(constB95, bitIndex1) | v90(constB95, bitIndex0))))) | (~v123(constB95)) | (~((~v90(constB95, bitIndex2)) | v90(constB95, bitIndex1) | v90(constB95, bitIndex0)))),
% 15.13/10.39 inference(tautology,[status(thm)],[])).
% 15.13/10.39 tff(16193,plain,
% 15.13/10.39 (~v123(constB95)),
% 15.13/10.39 inference(unit_resolution,[status(thm)],[16192, 16191, 16189])).
% 15.13/10.39 tff(16194,plain,
% 15.13/10.39 (((~![VarCurr: $i] : (v122(VarCurr) <=> (~(v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)))))) | (v122(constB95) <=> (~(v90(constB95, bitIndex2) | (~v90(constB95, bitIndex1)) | (~v90(constB95, bitIndex0)))))) <=> ((~![VarCurr: $i] : (v122(VarCurr) <=> (~(v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)))))) | (v122(constB95) <=> (~(v90(constB95, bitIndex2) | (~v90(constB95, bitIndex1)) | (~v90(constB95, bitIndex0))))))),
% 15.13/10.39 inference(rewrite,[status(thm)],[])).
% 15.13/10.39 tff(16195,plain,
% 15.13/10.39 ((v122(constB95) <=> (~(v90(constB95, bitIndex2) | (~v90(constB95, bitIndex0)) | (~v90(constB95, bitIndex1))))) <=> (v122(constB95) <=> (~(v90(constB95, bitIndex2) | (~v90(constB95, bitIndex1)) | (~v90(constB95, bitIndex0)))))),
% 15.13/10.39 inference(rewrite,[status(thm)],[])).
% 15.13/10.39 tff(16196,plain,
% 15.13/10.39 (((~![VarCurr: $i] : (v122(VarCurr) <=> (~(v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)))))) | (v122(constB95) <=> (~(v90(constB95, bitIndex2) | (~v90(constB95, bitIndex0)) | (~v90(constB95, bitIndex1)))))) <=> ((~![VarCurr: $i] : (v122(VarCurr) <=> (~(v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)))))) | (v122(constB95) <=> (~(v90(constB95, bitIndex2) | (~v90(constB95, bitIndex1)) | (~v90(constB95, bitIndex0))))))),
% 15.13/10.39 inference(monotonicity,[status(thm)],[16195])).
% 15.13/10.39 tff(16197,plain,
% 15.13/10.39 (((~![VarCurr: $i] : (v122(VarCurr) <=> (~(v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)))))) | (v122(constB95) <=> (~(v90(constB95, bitIndex2) | (~v90(constB95, bitIndex0)) | (~v90(constB95, bitIndex1)))))) <=> ((~![VarCurr: $i] : (v122(VarCurr) <=> (~(v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)))))) | (v122(constB95) <=> (~(v90(constB95, bitIndex2) | (~v90(constB95, bitIndex1)) | (~v90(constB95, bitIndex0))))))),
% 15.13/10.40 inference(transitivity,[status(thm)],[16196, 16194])).
% 15.13/10.40 tff(16198,plain,
% 15.13/10.40 ((~![VarCurr: $i] : (v122(VarCurr) <=> (~(v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)))))) | (v122(constB95) <=> (~(v90(constB95, bitIndex2) | (~v90(constB95, bitIndex0)) | (~v90(constB95, bitIndex1)))))),
% 15.13/10.40 inference(quant_inst,[status(thm)],[])).
% 15.13/10.40 tff(16199,plain,
% 15.13/10.40 ((~![VarCurr: $i] : (v122(VarCurr) <=> (~(v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)))))) | (v122(constB95) <=> (~(v90(constB95, bitIndex2) | (~v90(constB95, bitIndex1)) | (~v90(constB95, bitIndex0)))))),
% 15.13/10.40 inference(modus_ponens,[status(thm)],[16198, 16197])).
% 15.13/10.40 tff(16200,plain,
% 15.13/10.40 (v122(constB95) <=> (~(v90(constB95, bitIndex2) | (~v90(constB95, bitIndex1)) | (~v90(constB95, bitIndex0))))),
% 15.13/10.40 inference(unit_resolution,[status(thm)],[16199, 734])).
% 15.13/10.40 tff(16201,plain,
% 15.13/10.40 ((v90(constB95, bitIndex2) | (~v90(constB95, bitIndex1)) | (~v90(constB95, bitIndex0))) | (~v90(constB95, bitIndex2))),
% 15.13/10.40 inference(tautology,[status(thm)],[])).
% 15.13/10.40 tff(16202,plain,
% 15.13/10.40 (v90(constB95, bitIndex2) | (~v90(constB95, bitIndex1)) | (~v90(constB95, bitIndex0))),
% 15.13/10.40 inference(unit_resolution,[status(thm)],[16201, 12963])).
% 15.13/10.40 tff(16203,plain,
% 15.13/10.40 ((~(v122(constB95) <=> (~(v90(constB95, bitIndex2) | (~v90(constB95, bitIndex1)) | (~v90(constB95, bitIndex0)))))) | (~v122(constB95)) | (~(v90(constB95, bitIndex2) | (~v90(constB95, bitIndex1)) | (~v90(constB95, bitIndex0))))),
% 15.13/10.40 inference(tautology,[status(thm)],[])).
% 15.13/10.40 tff(16204,plain,
% 15.13/10.40 (~v122(constB95)),
% 15.13/10.40 inference(unit_resolution,[status(thm)],[16203, 16202, 16200])).
% 15.13/10.40 tff(16205,plain,
% 15.13/10.40 (((~![VarCurr: $i] : (v121(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex1)))))) | (v121(constB95) <=> (~(v90(constB95, bitIndex2) | (~v90(constB95, bitIndex1)) | v90(constB95, bitIndex0))))) <=> ((~![VarCurr: $i] : (v121(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex1)))))) | (v121(constB95) <=> (~(v90(constB95, bitIndex2) | (~v90(constB95, bitIndex1)) | v90(constB95, bitIndex0)))))),
% 15.13/10.40 inference(rewrite,[status(thm)],[])).
% 15.13/10.40 tff(16206,plain,
% 15.13/10.40 ((v121(constB95) <=> (~(v90(constB95, bitIndex0) | v90(constB95, bitIndex2) | (~v90(constB95, bitIndex1))))) <=> (v121(constB95) <=> (~(v90(constB95, bitIndex2) | (~v90(constB95, bitIndex1)) | v90(constB95, bitIndex0))))),
% 15.13/10.40 inference(rewrite,[status(thm)],[])).
% 15.13/10.40 tff(16207,plain,
% 15.13/10.40 (((~![VarCurr: $i] : (v121(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex1)))))) | (v121(constB95) <=> (~(v90(constB95, bitIndex0) | v90(constB95, bitIndex2) | (~v90(constB95, bitIndex1)))))) <=> ((~![VarCurr: $i] : (v121(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex1)))))) | (v121(constB95) <=> (~(v90(constB95, bitIndex2) | (~v90(constB95, bitIndex1)) | v90(constB95, bitIndex0)))))),
% 15.13/10.40 inference(monotonicity,[status(thm)],[16206])).
% 15.13/10.40 tff(16208,plain,
% 15.13/10.40 (((~![VarCurr: $i] : (v121(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex1)))))) | (v121(constB95) <=> (~(v90(constB95, bitIndex0) | v90(constB95, bitIndex2) | (~v90(constB95, bitIndex1)))))) <=> ((~![VarCurr: $i] : (v121(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex1)))))) | (v121(constB95) <=> (~(v90(constB95, bitIndex2) | (~v90(constB95, bitIndex1)) | v90(constB95, bitIndex0)))))),
% 15.13/10.40 inference(transitivity,[status(thm)],[16207, 16205])).
% 15.13/10.40 tff(16209,plain,
% 15.13/10.40 ((~![VarCurr: $i] : (v121(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex1)))))) | (v121(constB95) <=> (~(v90(constB95, bitIndex0) | v90(constB95, bitIndex2) | (~v90(constB95, bitIndex1)))))),
% 15.13/10.40 inference(quant_inst,[status(thm)],[])).
% 15.13/10.40 tff(16210,plain,
% 15.13/10.40 ((~![VarCurr: $i] : (v121(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex1)))))) | (v121(constB95) <=> (~(v90(constB95, bitIndex2) | (~v90(constB95, bitIndex1)) | v90(constB95, bitIndex0))))),
% 15.13/10.40 inference(modus_ponens,[status(thm)],[16209, 16208])).
% 15.13/10.40 tff(16211,plain,
% 15.13/10.40 (v121(constB95) <=> (~(v90(constB95, bitIndex2) | (~v90(constB95, bitIndex1)) | v90(constB95, bitIndex0)))),
% 15.13/10.40 inference(unit_resolution,[status(thm)],[16210, 849])).
% 15.13/10.40 tff(16212,plain,
% 15.13/10.40 ((v90(constB95, bitIndex2) | (~v90(constB95, bitIndex1)) | v90(constB95, bitIndex0)) | (~v90(constB95, bitIndex2))),
% 15.13/10.40 inference(tautology,[status(thm)],[])).
% 15.13/10.40 tff(16213,plain,
% 15.13/10.40 (v90(constB95, bitIndex2) | (~v90(constB95, bitIndex1)) | v90(constB95, bitIndex0)),
% 15.13/10.40 inference(unit_resolution,[status(thm)],[16212, 12963])).
% 15.13/10.40 tff(16214,plain,
% 15.13/10.40 ((~(v121(constB95) <=> (~(v90(constB95, bitIndex2) | (~v90(constB95, bitIndex1)) | v90(constB95, bitIndex0))))) | (~v121(constB95)) | (~(v90(constB95, bitIndex2) | (~v90(constB95, bitIndex1)) | v90(constB95, bitIndex0)))),
% 15.13/10.40 inference(tautology,[status(thm)],[])).
% 15.13/10.40 tff(16215,plain,
% 15.13/10.40 (~v121(constB95)),
% 15.13/10.40 inference(unit_resolution,[status(thm)],[16214, 16213, 16211])).
% 15.13/10.40 tff(16216,plain,
% 15.13/10.40 (((~![VarCurr: $i] : (v120(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)))))) | (v120(constB95) <=> (~(v90(constB95, bitIndex2) | v90(constB95, bitIndex1) | (~v90(constB95, bitIndex0)))))) <=> ((~![VarCurr: $i] : (v120(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)))))) | (v120(constB95) <=> (~(v90(constB95, bitIndex2) | v90(constB95, bitIndex1) | (~v90(constB95, bitIndex0))))))),
% 15.13/10.40 inference(rewrite,[status(thm)],[])).
% 15.13/10.40 tff(16217,plain,
% 15.13/10.40 ((v120(constB95) <=> (~(v90(constB95, bitIndex1) | v90(constB95, bitIndex2) | (~v90(constB95, bitIndex0))))) <=> (v120(constB95) <=> (~(v90(constB95, bitIndex2) | v90(constB95, bitIndex1) | (~v90(constB95, bitIndex0)))))),
% 15.13/10.40 inference(rewrite,[status(thm)],[])).
% 15.13/10.40 tff(16218,plain,
% 15.13/10.40 (((~![VarCurr: $i] : (v120(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)))))) | (v120(constB95) <=> (~(v90(constB95, bitIndex1) | v90(constB95, bitIndex2) | (~v90(constB95, bitIndex0)))))) <=> ((~![VarCurr: $i] : (v120(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)))))) | (v120(constB95) <=> (~(v90(constB95, bitIndex2) | v90(constB95, bitIndex1) | (~v90(constB95, bitIndex0))))))),
% 15.13/10.40 inference(monotonicity,[status(thm)],[16217])).
% 15.13/10.40 tff(16219,plain,
% 15.13/10.40 (((~![VarCurr: $i] : (v120(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)))))) | (v120(constB95) <=> (~(v90(constB95, bitIndex1) | v90(constB95, bitIndex2) | (~v90(constB95, bitIndex0)))))) <=> ((~![VarCurr: $i] : (v120(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)))))) | (v120(constB95) <=> (~(v90(constB95, bitIndex2) | v90(constB95, bitIndex1) | (~v90(constB95, bitIndex0))))))),
% 15.13/10.40 inference(transitivity,[status(thm)],[16218, 16216])).
% 15.13/10.40 tff(16220,plain,
% 15.13/10.40 ((~![VarCurr: $i] : (v120(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)))))) | (v120(constB95) <=> (~(v90(constB95, bitIndex1) | v90(constB95, bitIndex2) | (~v90(constB95, bitIndex0)))))),
% 15.13/10.40 inference(quant_inst,[status(thm)],[])).
% 15.13/10.40 tff(16221,plain,
% 15.13/10.40 ((~![VarCurr: $i] : (v120(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)))))) | (v120(constB95) <=> (~(v90(constB95, bitIndex2) | v90(constB95, bitIndex1) | (~v90(constB95, bitIndex0)))))),
% 15.13/10.40 inference(modus_ponens,[status(thm)],[16220, 16219])).
% 15.13/10.40 tff(16222,plain,
% 15.13/10.40 (v120(constB95) <=> (~(v90(constB95, bitIndex2) | v90(constB95, bitIndex1) | (~v90(constB95, bitIndex0))))),
% 15.13/10.40 inference(unit_resolution,[status(thm)],[16221, 966])).
% 15.13/10.40 tff(16223,plain,
% 15.13/10.40 ((v90(constB95, bitIndex2) | v90(constB95, bitIndex1) | (~v90(constB95, bitIndex0))) | (~v90(constB95, bitIndex2))),
% 15.13/10.40 inference(tautology,[status(thm)],[])).
% 15.13/10.40 tff(16224,plain,
% 15.13/10.40 (v90(constB95, bitIndex2) | v90(constB95, bitIndex1) | (~v90(constB95, bitIndex0))),
% 15.13/10.40 inference(unit_resolution,[status(thm)],[16223, 12963])).
% 15.13/10.40 tff(16225,plain,
% 15.13/10.40 ((~(v120(constB95) <=> (~(v90(constB95, bitIndex2) | v90(constB95, bitIndex1) | (~v90(constB95, bitIndex0)))))) | (~v120(constB95)) | (~(v90(constB95, bitIndex2) | v90(constB95, bitIndex1) | (~v90(constB95, bitIndex0))))),
% 15.13/10.40 inference(tautology,[status(thm)],[])).
% 15.13/10.40 tff(16226,plain,
% 15.13/10.40 (~v120(constB95)),
% 15.13/10.40 inference(unit_resolution,[status(thm)],[16225, 16224, 16222])).
% 15.13/10.40 tff(16227,plain,
% 15.13/10.40 (((~![VarCurr: $i] : (v124(VarCurr) | v123(VarCurr) | v122(VarCurr) | v121(VarCurr) | v120(VarCurr) | v119(VarCurr) | ![B: $i] : ((~less_3(B)) | (v130(VarCurr, B) <=> b001(B))))) | (v120(constB95) | v119(constB95) | v121(constB95) | v122(constB95) | v123(constB95) | v124(constB95) | ![B: $i] : ((~less_3(B)) | (v130(constB95, B) <=> b001(B))))) <=> ((~![VarCurr: $i] : (v124(VarCurr) | v123(VarCurr) | v122(VarCurr) | v121(VarCurr) | v120(VarCurr) | v119(VarCurr) | ![B: $i] : ((~less_3(B)) | (v130(VarCurr, B) <=> b001(B))))) | v120(constB95) | v119(constB95) | v121(constB95) | v122(constB95) | v123(constB95) | v124(constB95) | ![B: $i] : ((~less_3(B)) | (v130(constB95, B) <=> b001(B))))),
% 15.13/10.40 inference(rewrite,[status(thm)],[])).
% 15.13/10.40 tff(16228,plain,
% 15.13/10.40 ((v124(constB95) | v123(constB95) | v122(constB95) | v121(constB95) | v120(constB95) | v119(constB95) | ![B: $i] : ((~less_3(B)) | (v130(constB95, B) <=> b001(B)))) <=> (v120(constB95) | v119(constB95) | v121(constB95) | v122(constB95) | v123(constB95) | v124(constB95) | ![B: $i] : ((~less_3(B)) | (v130(constB95, B) <=> b001(B))))),
% 15.13/10.40 inference(rewrite,[status(thm)],[])).
% 15.13/10.40 tff(16229,plain,
% 15.13/10.40 (((~![VarCurr: $i] : (v124(VarCurr) | v123(VarCurr) | v122(VarCurr) | v121(VarCurr) | v120(VarCurr) | v119(VarCurr) | ![B: $i] : ((~less_3(B)) | (v130(VarCurr, B) <=> b001(B))))) | (v124(constB95) | v123(constB95) | v122(constB95) | v121(constB95) | v120(constB95) | v119(constB95) | ![B: $i] : ((~less_3(B)) | (v130(constB95, B) <=> b001(B))))) <=> ((~![VarCurr: $i] : (v124(VarCurr) | v123(VarCurr) | v122(VarCurr) | v121(VarCurr) | v120(VarCurr) | v119(VarCurr) | ![B: $i] : ((~less_3(B)) | (v130(VarCurr, B) <=> b001(B))))) | (v120(constB95) | v119(constB95) | v121(constB95) | v122(constB95) | v123(constB95) | v124(constB95) | ![B: $i] : ((~less_3(B)) | (v130(constB95, B) <=> b001(B)))))),
% 15.13/10.40 inference(monotonicity,[status(thm)],[16228])).
% 15.13/10.40 tff(16230,plain,
% 15.13/10.40 (((~![VarCurr: $i] : (v124(VarCurr) | v123(VarCurr) | v122(VarCurr) | v121(VarCurr) | v120(VarCurr) | v119(VarCurr) | ![B: $i] : ((~less_3(B)) | (v130(VarCurr, B) <=> b001(B))))) | (v124(constB95) | v123(constB95) | v122(constB95) | v121(constB95) | v120(constB95) | v119(constB95) | ![B: $i] : ((~less_3(B)) | (v130(constB95, B) <=> b001(B))))) <=> ((~![VarCurr: $i] : (v124(VarCurr) | v123(VarCurr) | v122(VarCurr) | v121(VarCurr) | v120(VarCurr) | v119(VarCurr) | ![B: $i] : ((~less_3(B)) | (v130(VarCurr, B) <=> b001(B))))) | v120(constB95) | v119(constB95) | v121(constB95) | v122(constB95) | v123(constB95) | v124(constB95) | ![B: $i] : ((~less_3(B)) | (v130(constB95, B) <=> b001(B))))),
% 15.13/10.40 inference(transitivity,[status(thm)],[16229, 16227])).
% 15.13/10.40 tff(16231,plain,
% 15.13/10.40 ((~![VarCurr: $i] : (v124(VarCurr) | v123(VarCurr) | v122(VarCurr) | v121(VarCurr) | v120(VarCurr) | v119(VarCurr) | ![B: $i] : ((~less_3(B)) | (v130(VarCurr, B) <=> b001(B))))) | (v124(constB95) | v123(constB95) | v122(constB95) | v121(constB95) | v120(constB95) | v119(constB95) | ![B: $i] : ((~less_3(B)) | (v130(constB95, B) <=> b001(B))))),
% 15.13/10.40 inference(quant_inst,[status(thm)],[])).
% 15.13/10.40 tff(16232,plain,
% 15.13/10.40 ((~![VarCurr: $i] : (v124(VarCurr) | v123(VarCurr) | v122(VarCurr) | v121(VarCurr) | v120(VarCurr) | v119(VarCurr) | ![B: $i] : ((~less_3(B)) | (v130(VarCurr, B) <=> b001(B))))) | v120(constB95) | v119(constB95) | v121(constB95) | v122(constB95) | v123(constB95) | v124(constB95) | ![B: $i] : ((~less_3(B)) | (v130(constB95, B) <=> b001(B)))),
% 15.13/10.40 inference(modus_ponens,[status(thm)],[16231, 16230])).
% 15.13/10.40 tff(16233,plain,
% 15.13/10.40 (v120(constB95) | v119(constB95) | v121(constB95) | v122(constB95) | v123(constB95) | v124(constB95) | ![B: $i] : ((~less_3(B)) | (v130(constB95, B) <=> b001(B)))),
% 15.13/10.40 inference(unit_resolution,[status(thm)],[16232, 5610])).
% 15.13/10.40 tff(16234,plain,
% 15.13/10.40 (![B: $i] : ((~less_3(B)) | (v130(constB95, B) <=> b001(B)))),
% 15.13/10.40 inference(unit_resolution,[status(thm)],[16233, 16226, 16215, 16204, 16193, 16182, 16171])).
% 15.13/10.40 tff(16235,plain,
% 15.13/10.40 (((~![B: $i] : ((~less_3(B)) | (v130(constB95, B) <=> b001(B)))) | ((~less_3(bitIndex2)) | (v130(constB95, bitIndex2) <=> b001(bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v130(constB95, B) <=> b001(B)))) | (~less_3(bitIndex2)) | (v130(constB95, bitIndex2) <=> b001(bitIndex2)))),
% 15.13/10.40 inference(rewrite,[status(thm)],[])).
% 15.13/10.40 tff(16236,plain,
% 15.13/10.40 ((~![B: $i] : ((~less_3(B)) | (v130(constB95, B) <=> b001(B)))) | ((~less_3(bitIndex2)) | (v130(constB95, bitIndex2) <=> b001(bitIndex2)))),
% 15.13/10.40 inference(quant_inst,[status(thm)],[])).
% 15.13/10.40 tff(16237,plain,
% 15.13/10.40 ((~![B: $i] : ((~less_3(B)) | (v130(constB95, B) <=> b001(B)))) | (~less_3(bitIndex2)) | (v130(constB95, bitIndex2) <=> b001(bitIndex2))),
% 15.13/10.40 inference(modus_ponens,[status(thm)],[16236, 16235])).
% 15.13/10.40 tff(16238,plain,
% 15.13/10.40 (v130(constB95, bitIndex2) <=> b001(bitIndex2)),
% 15.13/10.40 inference(unit_resolution,[status(thm)],[16237, 413, 16234])).
% 15.13/10.40 tff(16239,plain,
% 15.13/10.40 ((~(v130(constB95, bitIndex2) <=> b001(bitIndex2))) | (~v130(constB95, bitIndex2)) | b001(bitIndex2)),
% 15.13/10.40 inference(tautology,[status(thm)],[])).
% 15.13/10.40 tff(16240,plain,
% 15.13/10.40 ((~(v130(constB95, bitIndex2) <=> b001(bitIndex2))) | (~v130(constB95, bitIndex2))),
% 15.13/10.40 inference(unit_resolution,[status(thm)],[16239, 5625])).
% 15.13/10.40 tff(16241,plain,
% 15.13/10.40 (~v130(constB95, bitIndex2)),
% 15.13/10.40 inference(unit_resolution,[status(thm)],[16240, 16238])).
% 15.13/10.40 tff(16242,plain,
% 15.13/10.40 ((~(v127(constB95, bitIndex2) <=> v130(constB95, bitIndex2))) | (~v127(constB95, bitIndex2)) | v130(constB95, bitIndex2)),
% 15.13/10.40 inference(tautology,[status(thm)],[])).
% 15.13/10.40 tff(16243,plain,
% 15.13/10.40 (~v127(constB95, bitIndex2)),
% 15.13/10.40 inference(unit_resolution,[status(thm)],[16242, 16241, 16165])).
% 15.13/10.40 tff(16244,plain,
% 15.13/10.40 ((~(v129(constB96, bitIndex2) <=> v127(constB95, bitIndex2))) | (~v129(constB96, bitIndex2)) | v127(constB95, bitIndex2)),
% 15.13/10.40 inference(tautology,[status(thm)],[])).
% 15.13/10.40 tff(16245,plain,
% 15.13/10.40 (~v129(constB96, bitIndex2)),
% 15.13/10.40 inference(unit_resolution,[status(thm)],[16244, 16243, 16157])).
% 15.13/10.40 tff(16246,plain,
% 15.13/10.40 ((~(v90(constB96, bitIndex2) <=> v129(constB96, bitIndex2))) | (~v90(constB96, bitIndex2)) | v129(constB96, bitIndex2)),
% 15.13/10.40 inference(tautology,[status(thm)],[])).
% 15.13/10.40 tff(16247,plain,
% 15.13/10.40 (~v90(constB96, bitIndex2)),
% 15.13/10.40 inference(unit_resolution,[status(thm)],[16246, 16245, 16149])).
% 15.13/10.40 tff(16248,plain,
% 15.13/10.40 ((~(v90(constB97, bitIndex2) <=> v90(constB96, bitIndex2))) | (~v90(constB97, bitIndex2)) | v90(constB96, bitIndex2)),
% 15.13/10.40 inference(tautology,[status(thm)],[])).
% 15.13/10.40 tff(16249,plain,
% 15.13/10.40 (~v90(constB97, bitIndex2)),
% 15.13/10.40 inference(unit_resolution,[status(thm)],[16248, 16247, 16059])).
% 15.13/10.40 tff(16250,plain,
% 15.13/10.40 (((~![B: $i] : ((~less_3(B)) | (v90(constB97, B) <=> v90(constB96, B)))) | ((~less_3(bitIndex0)) | (v90(constB97, bitIndex0) <=> v90(constB96, bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v90(constB97, B) <=> v90(constB96, B)))) | (~less_3(bitIndex0)) | (v90(constB97, bitIndex0) <=> v90(constB96, bitIndex0)))),
% 15.13/10.40 inference(rewrite,[status(thm)],[])).
% 15.13/10.40 tff(16251,plain,
% 15.13/10.40 ((~![B: $i] : ((~less_3(B)) | (v90(constB97, B) <=> v90(constB96, B)))) | ((~less_3(bitIndex0)) | (v90(constB97, bitIndex0) <=> v90(constB96, bitIndex0)))),
% 15.13/10.40 inference(quant_inst,[status(thm)],[])).
% 15.13/10.40 tff(16252,plain,
% 15.13/10.40 ((~![B: $i] : ((~less_3(B)) | (v90(constB97, B) <=> v90(constB96, B)))) | (~less_3(bitIndex0)) | (v90(constB97, bitIndex0) <=> v90(constB96, bitIndex0))),
% 15.13/10.40 inference(modus_ponens,[status(thm)],[16251, 16250])).
% 15.13/10.40 tff(16253,plain,
% 15.13/10.40 (v90(constB97, bitIndex0) <=> v90(constB96, bitIndex0)),
% 15.13/10.40 inference(unit_resolution,[status(thm)],[16252, 5004, 16055])).
% 15.13/10.40 tff(16254,plain,
% 15.13/10.40 (((~![B: $i] : ((~less_3(B)) | (v90(constB96, B) <=> v129(constB96, B)))) | ((~less_3(bitIndex0)) | (v90(constB96, bitIndex0) <=> v129(constB96, bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v90(constB96, B) <=> v129(constB96, B)))) | (~less_3(bitIndex0)) | (v90(constB96, bitIndex0) <=> v129(constB96, bitIndex0)))),
% 15.13/10.40 inference(rewrite,[status(thm)],[])).
% 15.13/10.40 tff(16255,plain,
% 15.13/10.40 ((~![B: $i] : ((~less_3(B)) | (v90(constB96, B) <=> v129(constB96, B)))) | ((~less_3(bitIndex0)) | (v90(constB96, bitIndex0) <=> v129(constB96, bitIndex0)))),
% 15.13/10.40 inference(quant_inst,[status(thm)],[])).
% 15.13/10.40 tff(16256,plain,
% 15.13/10.40 ((~![B: $i] : ((~less_3(B)) | (v90(constB96, B) <=> v129(constB96, B)))) | (~less_3(bitIndex0)) | (v90(constB96, bitIndex0) <=> v129(constB96, bitIndex0))),
% 15.13/10.40 inference(modus_ponens,[status(thm)],[16255, 16254])).
% 15.13/10.40 tff(16257,plain,
% 15.13/10.40 (v90(constB96, bitIndex0) <=> v129(constB96, bitIndex0)),
% 15.13/10.40 inference(unit_resolution,[status(thm)],[16256, 5004, 16145])).
% 15.13/10.40 tff(16258,plain,
% 15.13/10.40 (((~![B: $i] : ((~less_3(B)) | (v129(constB96, B) <=> v127(constB95, B)))) | ((~less_3(bitIndex0)) | (v129(constB96, bitIndex0) <=> v127(constB95, bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v129(constB96, B) <=> v127(constB95, B)))) | (~less_3(bitIndex0)) | (v129(constB96, bitIndex0) <=> v127(constB95, bitIndex0)))),
% 15.13/10.40 inference(rewrite,[status(thm)],[])).
% 15.13/10.40 tff(16259,plain,
% 15.13/10.40 ((~![B: $i] : ((~less_3(B)) | (v129(constB96, B) <=> v127(constB95, B)))) | ((~less_3(bitIndex0)) | (v129(constB96, bitIndex0) <=> v127(constB95, bitIndex0)))),
% 15.13/10.40 inference(quant_inst,[status(thm)],[])).
% 15.13/10.40 tff(16260,plain,
% 15.13/10.40 ((~![B: $i] : ((~less_3(B)) | (v129(constB96, B) <=> v127(constB95, B)))) | (~less_3(bitIndex0)) | (v129(constB96, bitIndex0) <=> v127(constB95, bitIndex0))),
% 15.13/10.40 inference(modus_ponens,[status(thm)],[16259, 16258])).
% 15.13/10.40 tff(16261,plain,
% 15.13/10.40 (v129(constB96, bitIndex0) <=> v127(constB95, bitIndex0)),
% 15.13/10.40 inference(unit_resolution,[status(thm)],[16260, 5004, 16153])).
% 15.13/10.40 tff(16262,plain,
% 15.13/10.40 (((~![B: $i] : ((~less_3(B)) | (v127(constB95, B) <=> v130(constB95, B)))) | ((~less_3(bitIndex0)) | (v127(constB95, bitIndex0) <=> v130(constB95, bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v127(constB95, B) <=> v130(constB95, B)))) | (~less_3(bitIndex0)) | (v127(constB95, bitIndex0) <=> v130(constB95, bitIndex0)))),
% 15.13/10.40 inference(rewrite,[status(thm)],[])).
% 15.13/10.40 tff(16263,plain,
% 15.13/10.40 ((~![B: $i] : ((~less_3(B)) | (v127(constB95, B) <=> v130(constB95, B)))) | ((~less_3(bitIndex0)) | (v127(constB95, bitIndex0) <=> v130(constB95, bitIndex0)))),
% 15.13/10.40 inference(quant_inst,[status(thm)],[])).
% 15.13/10.40 tff(16264,plain,
% 15.13/10.40 ((~![B: $i] : ((~less_3(B)) | (v127(constB95, B) <=> v130(constB95, B)))) | (~less_3(bitIndex0)) | (v127(constB95, bitIndex0) <=> v130(constB95, bitIndex0))),
% 15.13/10.40 inference(modus_ponens,[status(thm)],[16263, 16262])).
% 15.13/10.40 tff(16265,plain,
% 15.13/10.40 (v127(constB95, bitIndex0) <=> v130(constB95, bitIndex0)),
% 15.13/10.40 inference(unit_resolution,[status(thm)],[16264, 5004, 16161])).
% 15.13/10.40 tff(16266,plain,
% 15.13/10.40 (((~![B: $i] : ((~less_3(B)) | (v130(constB95, B) <=> b001(B)))) | ((~less_3(bitIndex0)) | (v130(constB95, bitIndex0) <=> b001(bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v130(constB95, B) <=> b001(B)))) | (~less_3(bitIndex0)) | (v130(constB95, bitIndex0) <=> b001(bitIndex0)))),
% 15.13/10.40 inference(rewrite,[status(thm)],[])).
% 15.13/10.40 tff(16267,plain,
% 15.13/10.40 ((~![B: $i] : ((~less_3(B)) | (v130(constB95, B) <=> b001(B)))) | ((~less_3(bitIndex0)) | (v130(constB95, bitIndex0) <=> b001(bitIndex0)))),
% 15.13/10.40 inference(quant_inst,[status(thm)],[])).
% 15.13/10.40 tff(16268,plain,
% 15.13/10.40 ((~![B: $i] : ((~less_3(B)) | (v130(constB95, B) <=> b001(B)))) | (~less_3(bitIndex0)) | (v130(constB95, bitIndex0) <=> b001(bitIndex0))),
% 15.13/10.40 inference(modus_ponens,[status(thm)],[16267, 16266])).
% 15.13/10.40 tff(16269,plain,
% 15.13/10.40 (v130(constB95, bitIndex0) <=> b001(bitIndex0)),
% 15.13/10.40 inference(unit_resolution,[status(thm)],[16268, 5004, 16234])).
% 15.13/10.40 tff(16270,plain,
% 15.13/10.40 ((~(v130(constB95, bitIndex0) <=> b001(bitIndex0))) | v130(constB95, bitIndex0) | (~b001(bitIndex0))),
% 15.13/10.40 inference(tautology,[status(thm)],[])).
% 15.13/10.40 tff(16271,plain,
% 15.13/10.40 ((~(v130(constB95, bitIndex0) <=> b001(bitIndex0))) | v130(constB95, bitIndex0)),
% 15.13/10.40 inference(unit_resolution,[status(thm)],[16270, 5659])).
% 15.13/10.40 tff(16272,plain,
% 15.13/10.40 (v130(constB95, bitIndex0)),
% 15.13/10.40 inference(unit_resolution,[status(thm)],[16271, 16269])).
% 15.13/10.40 tff(16273,plain,
% 15.13/10.40 ((~(v127(constB95, bitIndex0) <=> v130(constB95, bitIndex0))) | v127(constB95, bitIndex0) | (~v130(constB95, bitIndex0))),
% 15.13/10.40 inference(tautology,[status(thm)],[])).
% 15.13/10.40 tff(16274,plain,
% 15.13/10.40 (v127(constB95, bitIndex0)),
% 15.13/10.40 inference(unit_resolution,[status(thm)],[16273, 16272, 16265])).
% 15.13/10.40 tff(16275,plain,
% 15.13/10.40 ((~(v129(constB96, bitIndex0) <=> v127(constB95, bitIndex0))) | v129(constB96, bitIndex0) | (~v127(constB95, bitIndex0))),
% 15.13/10.40 inference(tautology,[status(thm)],[])).
% 15.13/10.40 tff(16276,plain,
% 15.13/10.40 (v129(constB96, bitIndex0)),
% 15.13/10.40 inference(unit_resolution,[status(thm)],[16275, 16274, 16261])).
% 15.13/10.40 tff(16277,plain,
% 15.13/10.40 ((~(v90(constB96, bitIndex0) <=> v129(constB96, bitIndex0))) | v90(constB96, bitIndex0) | (~v129(constB96, bitIndex0))),
% 15.13/10.40 inference(tautology,[status(thm)],[])).
% 15.13/10.40 tff(16278,plain,
% 15.13/10.40 (v90(constB96, bitIndex0)),
% 15.13/10.40 inference(unit_resolution,[status(thm)],[16277, 16276, 16257])).
% 15.13/10.40 tff(16279,plain,
% 15.13/10.40 ((~(v90(constB97, bitIndex0) <=> v90(constB96, bitIndex0))) | v90(constB97, bitIndex0) | (~v90(constB96, bitIndex0))),
% 15.13/10.40 inference(tautology,[status(thm)],[])).
% 15.13/10.40 tff(16280,plain,
% 15.13/10.40 (v90(constB97, bitIndex0)),
% 15.13/10.40 inference(unit_resolution,[status(thm)],[16279, 16278, 16253])).
% 15.13/10.40 tff(16281,plain,
% 15.13/10.40 (((~![B: $i] : ((~less_3(B)) | (v90(constB97, B) <=> v90(constB96, B)))) | ((~less_3(bitIndex1)) | (v90(constB97, bitIndex1) <=> v90(constB96, bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v90(constB97, B) <=> v90(constB96, B)))) | (~less_3(bitIndex1)) | (v90(constB97, bitIndex1) <=> v90(constB96, bitIndex1)))),
% 15.13/10.40 inference(rewrite,[status(thm)],[])).
% 15.13/10.40 tff(16282,plain,
% 15.13/10.40 ((~![B: $i] : ((~less_3(B)) | (v90(constB97, B) <=> v90(constB96, B)))) | ((~less_3(bitIndex1)) | (v90(constB97, bitIndex1) <=> v90(constB96, bitIndex1)))),
% 15.13/10.40 inference(quant_inst,[status(thm)],[])).
% 15.13/10.40 tff(16283,plain,
% 15.13/10.40 ((~![B: $i] : ((~less_3(B)) | (v90(constB97, B) <=> v90(constB96, B)))) | (~less_3(bitIndex1)) | (v90(constB97, bitIndex1) <=> v90(constB96, bitIndex1))),
% 15.13/10.40 inference(modus_ponens,[status(thm)],[16282, 16281])).
% 15.13/10.40 tff(16284,plain,
% 15.13/10.40 (v90(constB97, bitIndex1) <=> v90(constB96, bitIndex1)),
% 15.13/10.40 inference(unit_resolution,[status(thm)],[16283, 5017, 16055])).
% 15.13/10.40 tff(16285,plain,
% 15.13/10.40 (((~![B: $i] : ((~less_3(B)) | (v90(constB96, B) <=> v129(constB96, B)))) | ((~less_3(bitIndex1)) | (v90(constB96, bitIndex1) <=> v129(constB96, bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v90(constB96, B) <=> v129(constB96, B)))) | (~less_3(bitIndex1)) | (v90(constB96, bitIndex1) <=> v129(constB96, bitIndex1)))),
% 15.13/10.40 inference(rewrite,[status(thm)],[])).
% 15.13/10.40 tff(16286,plain,
% 15.13/10.40 ((~![B: $i] : ((~less_3(B)) | (v90(constB96, B) <=> v129(constB96, B)))) | ((~less_3(bitIndex1)) | (v90(constB96, bitIndex1) <=> v129(constB96, bitIndex1)))),
% 15.13/10.40 inference(quant_inst,[status(thm)],[])).
% 15.13/10.40 tff(16287,plain,
% 15.13/10.40 ((~![B: $i] : ((~less_3(B)) | (v90(constB96, B) <=> v129(constB96, B)))) | (~less_3(bitIndex1)) | (v90(constB96, bitIndex1) <=> v129(constB96, bitIndex1))),
% 15.13/10.40 inference(modus_ponens,[status(thm)],[16286, 16285])).
% 15.13/10.40 tff(16288,plain,
% 15.13/10.40 (v90(constB96, bitIndex1) <=> v129(constB96, bitIndex1)),
% 15.13/10.40 inference(unit_resolution,[status(thm)],[16287, 5017, 16145])).
% 15.13/10.40 tff(16289,plain,
% 15.13/10.40 (((~![B: $i] : ((~less_3(B)) | (v129(constB96, B) <=> v127(constB95, B)))) | ((~less_3(bitIndex1)) | (v129(constB96, bitIndex1) <=> v127(constB95, bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v129(constB96, B) <=> v127(constB95, B)))) | (~less_3(bitIndex1)) | (v129(constB96, bitIndex1) <=> v127(constB95, bitIndex1)))),
% 15.13/10.40 inference(rewrite,[status(thm)],[])).
% 15.13/10.40 tff(16290,plain,
% 15.13/10.40 ((~![B: $i] : ((~less_3(B)) | (v129(constB96, B) <=> v127(constB95, B)))) | ((~less_3(bitIndex1)) | (v129(constB96, bitIndex1) <=> v127(constB95, bitIndex1)))),
% 15.13/10.40 inference(quant_inst,[status(thm)],[])).
% 15.13/10.40 tff(16291,plain,
% 15.13/10.40 ((~![B: $i] : ((~less_3(B)) | (v129(constB96, B) <=> v127(constB95, B)))) | (~less_3(bitIndex1)) | (v129(constB96, bitIndex1) <=> v127(constB95, bitIndex1))),
% 15.13/10.41 inference(modus_ponens,[status(thm)],[16290, 16289])).
% 15.13/10.41 tff(16292,plain,
% 15.13/10.41 (v129(constB96, bitIndex1) <=> v127(constB95, bitIndex1)),
% 15.13/10.41 inference(unit_resolution,[status(thm)],[16291, 5017, 16153])).
% 15.13/10.41 tff(16293,plain,
% 15.13/10.41 (((~![B: $i] : ((~less_3(B)) | (v127(constB95, B) <=> v130(constB95, B)))) | ((~less_3(bitIndex1)) | (v127(constB95, bitIndex1) <=> v130(constB95, bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v127(constB95, B) <=> v130(constB95, B)))) | (~less_3(bitIndex1)) | (v127(constB95, bitIndex1) <=> v130(constB95, bitIndex1)))),
% 15.13/10.41 inference(rewrite,[status(thm)],[])).
% 15.13/10.41 tff(16294,plain,
% 15.13/10.41 ((~![B: $i] : ((~less_3(B)) | (v127(constB95, B) <=> v130(constB95, B)))) | ((~less_3(bitIndex1)) | (v127(constB95, bitIndex1) <=> v130(constB95, bitIndex1)))),
% 15.13/10.41 inference(quant_inst,[status(thm)],[])).
% 15.13/10.41 tff(16295,plain,
% 15.13/10.41 ((~![B: $i] : ((~less_3(B)) | (v127(constB95, B) <=> v130(constB95, B)))) | (~less_3(bitIndex1)) | (v127(constB95, bitIndex1) <=> v130(constB95, bitIndex1))),
% 15.13/10.41 inference(modus_ponens,[status(thm)],[16294, 16293])).
% 15.13/10.41 tff(16296,plain,
% 15.13/10.41 (v127(constB95, bitIndex1) <=> v130(constB95, bitIndex1)),
% 15.13/10.41 inference(unit_resolution,[status(thm)],[16295, 5017, 16161])).
% 15.13/10.41 tff(16297,plain,
% 15.13/10.41 (((~![B: $i] : ((~less_3(B)) | (v130(constB95, B) <=> b001(B)))) | ((~less_3(bitIndex1)) | (v130(constB95, bitIndex1) <=> b001(bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v130(constB95, B) <=> b001(B)))) | (~less_3(bitIndex1)) | (v130(constB95, bitIndex1) <=> b001(bitIndex1)))),
% 15.13/10.41 inference(rewrite,[status(thm)],[])).
% 15.13/10.41 tff(16298,plain,
% 15.13/10.41 ((~![B: $i] : ((~less_3(B)) | (v130(constB95, B) <=> b001(B)))) | ((~less_3(bitIndex1)) | (v130(constB95, bitIndex1) <=> b001(bitIndex1)))),
% 15.13/10.41 inference(quant_inst,[status(thm)],[])).
% 15.13/10.41 tff(16299,plain,
% 15.13/10.41 ((~![B: $i] : ((~less_3(B)) | (v130(constB95, B) <=> b001(B)))) | (~less_3(bitIndex1)) | (v130(constB95, bitIndex1) <=> b001(bitIndex1))),
% 15.13/10.41 inference(modus_ponens,[status(thm)],[16298, 16297])).
% 15.13/10.41 tff(16300,plain,
% 15.13/10.41 (v130(constB95, bitIndex1) <=> b001(bitIndex1)),
% 15.13/10.41 inference(unit_resolution,[status(thm)],[16299, 5017, 16234])).
% 15.13/10.41 tff(16301,plain,
% 15.13/10.41 ((~(v130(constB95, bitIndex1) <=> b001(bitIndex1))) | (~v130(constB95, bitIndex1)) | b001(bitIndex1)),
% 15.13/10.41 inference(tautology,[status(thm)],[])).
% 15.13/10.41 tff(16302,plain,
% 15.13/10.41 ((~(v130(constB95, bitIndex1) <=> b001(bitIndex1))) | (~v130(constB95, bitIndex1))),
% 15.13/10.41 inference(unit_resolution,[status(thm)],[16301, 5693])).
% 15.13/10.41 tff(16303,plain,
% 15.13/10.41 (~v130(constB95, bitIndex1)),
% 15.13/10.41 inference(unit_resolution,[status(thm)],[16302, 16300])).
% 15.13/10.41 tff(16304,plain,
% 15.13/10.41 ((~(v127(constB95, bitIndex1) <=> v130(constB95, bitIndex1))) | (~v127(constB95, bitIndex1)) | v130(constB95, bitIndex1)),
% 15.13/10.41 inference(tautology,[status(thm)],[])).
% 15.13/10.41 tff(16305,plain,
% 15.13/10.41 (~v127(constB95, bitIndex1)),
% 15.13/10.41 inference(unit_resolution,[status(thm)],[16304, 16303, 16296])).
% 15.13/10.41 tff(16306,plain,
% 15.13/10.41 ((~(v129(constB96, bitIndex1) <=> v127(constB95, bitIndex1))) | (~v129(constB96, bitIndex1)) | v127(constB95, bitIndex1)),
% 15.13/10.41 inference(tautology,[status(thm)],[])).
% 15.13/10.41 tff(16307,plain,
% 15.13/10.41 (~v129(constB96, bitIndex1)),
% 15.13/10.41 inference(unit_resolution,[status(thm)],[16306, 16305, 16292])).
% 15.13/10.41 tff(16308,plain,
% 15.13/10.41 ((~(v90(constB96, bitIndex1) <=> v129(constB96, bitIndex1))) | (~v90(constB96, bitIndex1)) | v129(constB96, bitIndex1)),
% 15.13/10.41 inference(tautology,[status(thm)],[])).
% 15.13/10.41 tff(16309,plain,
% 15.13/10.41 (~v90(constB96, bitIndex1)),
% 15.13/10.41 inference(unit_resolution,[status(thm)],[16308, 16307, 16288])).
% 15.13/10.41 tff(16310,plain,
% 15.13/10.41 ((~(v90(constB97, bitIndex1) <=> v90(constB96, bitIndex1))) | (~v90(constB97, bitIndex1)) | v90(constB96, bitIndex1)),
% 15.13/10.41 inference(tautology,[status(thm)],[])).
% 15.13/10.41 tff(16311,plain,
% 15.13/10.41 (~v90(constB97, bitIndex1)),
% 15.13/10.41 inference(unit_resolution,[status(thm)],[16310, 16309, 16284])).
% 15.13/10.41 tff(16312,plain,
% 15.13/10.41 ((~(v90(constB97, bitIndex2) | v90(constB97, bitIndex1) | (~v90(constB97, bitIndex0)))) | v90(constB97, bitIndex2) | v90(constB97, bitIndex1) | (~v90(constB97, bitIndex0))),
% 15.13/10.41 inference(tautology,[status(thm)],[])).
% 15.13/10.41 tff(16313,plain,
% 15.13/10.41 (~(v90(constB97, bitIndex2) | v90(constB97, bitIndex1) | (~v90(constB97, bitIndex0)))),
% 15.13/10.41 inference(unit_resolution,[status(thm)],[16312, 16311, 16280, 16249])).
% 15.13/10.41 tff(16314,plain,
% 15.13/10.41 ((~(v120(constB97) <=> (~(v90(constB97, bitIndex2) | v90(constB97, bitIndex1) | (~v90(constB97, bitIndex0)))))) | v120(constB97) | (v90(constB97, bitIndex2) | v90(constB97, bitIndex1) | (~v90(constB97, bitIndex0)))),
% 15.13/10.41 inference(tautology,[status(thm)],[])).
% 15.13/10.41 tff(16315,plain,
% 15.13/10.41 (v120(constB97)),
% 15.13/10.41 inference(unit_resolution,[status(thm)],[16314, 16313, 16030])).
% 15.13/10.41 tff(16316,plain,
% 15.13/10.41 ((v119(constB97) | v120(constB97)) | (~v120(constB97))),
% 15.13/10.41 inference(tautology,[status(thm)],[])).
% 15.13/10.41 tff(16317,plain,
% 15.13/10.41 (v119(constB97) | v120(constB97)),
% 15.13/10.41 inference(unit_resolution,[status(thm)],[16316, 16315])).
% 15.13/10.41 tff(16318,plain,
% 15.13/10.41 ((~(v118(constB97) <=> (v119(constB97) | v120(constB97)))) | v118(constB97) | (~(v119(constB97) | v120(constB97)))),
% 15.13/10.41 inference(tautology,[status(thm)],[])).
% 15.13/10.41 tff(16319,plain,
% 15.13/10.41 (v118(constB97)),
% 15.13/10.41 inference(unit_resolution,[status(thm)],[16318, 16317, 16023])).
% 15.13/10.41 tff(16320,plain,
% 15.13/10.41 ((v118(constB97) | v121(constB97)) | (~v118(constB97))),
% 15.13/10.41 inference(tautology,[status(thm)],[])).
% 15.13/10.41 tff(16321,plain,
% 15.13/10.41 (v118(constB97) | v121(constB97)),
% 15.13/10.41 inference(unit_resolution,[status(thm)],[16320, 16319])).
% 15.13/10.41 tff(16322,plain,
% 15.13/10.41 ((~(v117(constB97) <=> (v118(constB97) | v121(constB97)))) | v117(constB97) | (~(v118(constB97) | v121(constB97)))),
% 15.13/10.41 inference(tautology,[status(thm)],[])).
% 15.13/10.41 tff(16323,plain,
% 15.13/10.41 (v117(constB97)),
% 15.13/10.41 inference(unit_resolution,[status(thm)],[16322, 16321, 16021])).
% 15.13/10.41 tff(16324,plain,
% 15.13/10.41 ((v117(constB97) | v122(constB97)) | (~v117(constB97))),
% 15.13/10.41 inference(tautology,[status(thm)],[])).
% 15.13/10.41 tff(16325,plain,
% 15.13/10.41 (v117(constB97) | v122(constB97)),
% 15.13/10.41 inference(unit_resolution,[status(thm)],[16324, 16323])).
% 15.13/10.41 tff(16326,plain,
% 15.13/10.41 ((~(v116(constB97) <=> (v117(constB97) | v122(constB97)))) | v116(constB97) | (~(v117(constB97) | v122(constB97)))),
% 15.13/10.41 inference(tautology,[status(thm)],[])).
% 15.13/10.41 tff(16327,plain,
% 15.13/10.41 (v116(constB97)),
% 15.13/10.41 inference(unit_resolution,[status(thm)],[16326, 16325, 16019])).
% 15.13/10.41 tff(16328,plain,
% 15.13/10.41 ((v116(constB97) | v123(constB97)) | (~v116(constB97))),
% 15.13/10.41 inference(tautology,[status(thm)],[])).
% 15.13/10.41 tff(16329,plain,
% 15.13/10.41 (v116(constB97) | v123(constB97)),
% 15.13/10.41 inference(unit_resolution,[status(thm)],[16328, 16327])).
% 15.13/10.41 tff(16330,plain,
% 15.13/10.41 ((~(v115(constB97) <=> (v116(constB97) | v123(constB97)))) | v115(constB97) | (~(v116(constB97) | v123(constB97)))),
% 15.13/10.41 inference(tautology,[status(thm)],[])).
% 15.13/10.41 tff(16331,plain,
% 15.13/10.41 (v115(constB97)),
% 15.13/10.41 inference(unit_resolution,[status(thm)],[16330, 16329, 16017])).
% 15.13/10.41 tff(16332,plain,
% 15.13/10.41 ((v115(constB97) | v124(constB97)) | (~v115(constB97))),
% 15.13/10.41 inference(tautology,[status(thm)],[])).
% 15.13/10.41 tff(16333,plain,
% 15.13/10.41 (v115(constB97) | v124(constB97)),
% 15.13/10.41 inference(unit_resolution,[status(thm)],[16332, 16331])).
% 15.13/10.41 tff(16334,plain,
% 15.13/10.41 ((~(v114(constB97) <=> (v115(constB97) | v124(constB97)))) | v114(constB97) | (~(v115(constB97) | v124(constB97)))),
% 15.13/10.41 inference(tautology,[status(thm)],[])).
% 15.13/10.41 tff(16335,plain,
% 15.13/10.41 (v114(constB97)),
% 15.13/10.41 inference(unit_resolution,[status(thm)],[16334, 16333, 16015])).
% 15.13/10.41 tff(16336,plain,
% 15.13/10.41 ((v114(constB97) | v125(constB97)) | (~v114(constB97))),
% 15.13/10.41 inference(tautology,[status(thm)],[])).
% 15.13/10.41 tff(16337,plain,
% 15.13/10.41 (v114(constB97) | v125(constB97)),
% 15.13/10.41 inference(unit_resolution,[status(thm)],[16336, 16335])).
% 15.13/10.41 tff(16338,plain,
% 15.13/10.41 ((~(v113(constB97) <=> (v114(constB97) | v125(constB97)))) | v113(constB97) | (~(v114(constB97) | v125(constB97)))),
% 15.13/10.41 inference(tautology,[status(thm)],[])).
% 15.13/10.41 tff(16339,plain,
% 15.13/10.41 (v113(constB97)),
% 15.13/10.41 inference(unit_resolution,[status(thm)],[16338, 16337, 16013])).
% 15.13/10.41 tff(16340,plain,
% 15.13/10.41 ((~![VarCurr: $i] : ((~v126(VarCurr)) <=> v111(VarCurr))) | ((~v126(constB97)) <=> v111(constB97))),
% 15.13/10.41 inference(quant_inst,[status(thm)],[])).
% 15.13/10.41 tff(16341,plain,
% 15.13/10.41 ((~v126(constB97)) <=> v111(constB97)),
% 15.13/10.41 inference(unit_resolution,[status(thm)],[16340, 5074])).
% 15.13/10.41 tff(16342,plain,
% 15.13/10.41 ((~![VarCurr: $i] : (v111(VarCurr) <=> v26(VarCurr))) | (v111(constB97) <=> v26(constB97))),
% 15.13/10.41 inference(quant_inst,[status(thm)],[])).
% 15.13/10.41 tff(16343,plain,
% 15.13/10.41 (v111(constB97) <=> v26(constB97)),
% 15.13/10.41 inference(unit_resolution,[status(thm)],[16342, 5086])).
% 15.13/10.41 tff(16344,plain,
% 15.13/10.41 ((~![VarCurr: $i] : (~v26(VarCurr))) | (~v26(constB97))),
% 15.13/10.41 inference(quant_inst,[status(thm)],[])).
% 15.13/10.41 tff(16345,plain,
% 15.13/10.41 (~v26(constB97)),
% 15.13/10.41 inference(unit_resolution,[status(thm)],[16344, 5098])).
% 15.13/10.41 tff(16346,plain,
% 15.13/10.41 ((~(v111(constB97) <=> v26(constB97))) | (~v111(constB97)) | v26(constB97)),
% 15.13/10.41 inference(tautology,[status(thm)],[])).
% 15.13/10.41 tff(16347,plain,
% 15.13/10.41 ((~(v111(constB97) <=> v26(constB97))) | (~v111(constB97))),
% 15.13/10.41 inference(unit_resolution,[status(thm)],[16346, 16345])).
% 15.13/10.41 tff(16348,plain,
% 15.13/10.41 (~v111(constB97)),
% 15.13/10.41 inference(unit_resolution,[status(thm)],[16347, 16343])).
% 15.13/10.41 tff(16349,plain,
% 15.13/10.41 ((~((~v126(constB97)) <=> v111(constB97))) | v126(constB97) | v111(constB97)),
% 15.13/10.41 inference(tautology,[status(thm)],[])).
% 15.13/10.41 tff(16350,plain,
% 15.13/10.41 ((~((~v126(constB97)) <=> v111(constB97))) | v126(constB97)),
% 15.13/10.41 inference(unit_resolution,[status(thm)],[16349, 16348])).
% 15.13/10.41 tff(16351,plain,
% 15.13/10.41 (v126(constB97)),
% 15.13/10.41 inference(unit_resolution,[status(thm)],[16350, 16341])).
% 15.13/10.41 tff(16352,plain,
% 15.13/10.41 ((~((~v113(constB97)) | (~v126(constB97)))) | (~v113(constB97)) | (~v126(constB97))),
% 15.13/10.41 inference(tautology,[status(thm)],[])).
% 15.13/10.41 tff(16353,plain,
% 15.13/10.41 ((~((~v113(constB97)) | (~v126(constB97)))) | (~v113(constB97))),
% 15.13/10.41 inference(unit_resolution,[status(thm)],[16352, 16351])).
% 15.13/10.41 tff(16354,plain,
% 15.13/10.41 (~((~v113(constB97)) | (~v126(constB97)))),
% 15.13/10.41 inference(unit_resolution,[status(thm)],[16353, 16339])).
% 15.13/10.41 tff(16355,plain,
% 15.13/10.41 ((~(v112(constB97) <=> (~((~v113(constB97)) | (~v126(constB97)))))) | v112(constB97) | ((~v113(constB97)) | (~v126(constB97)))),
% 15.13/10.41 inference(tautology,[status(thm)],[])).
% 15.13/10.41 tff(16356,plain,
% 15.13/10.41 (v112(constB97)),
% 15.13/10.41 inference(unit_resolution,[status(thm)],[16355, 16354, 16011])).
% 15.13/10.41 tff(16357,plain,
% 15.13/10.41 ((v111(constB97) | v112(constB97)) | (~v112(constB97))),
% 15.13/10.41 inference(tautology,[status(thm)],[])).
% 15.13/10.41 tff(16358,plain,
% 15.13/10.41 (v111(constB97) | v112(constB97)),
% 15.13/10.41 inference(unit_resolution,[status(thm)],[16357, 16356])).
% 15.13/10.41 tff(16359,plain,
% 15.13/10.41 ((~(v108(constB97) <=> (v111(constB97) | v112(constB97)))) | v108(constB97) | (~(v111(constB97) | v112(constB97)))),
% 15.13/10.41 inference(tautology,[status(thm)],[])).
% 15.13/10.41 tff(16360,plain,
% 15.13/10.41 (v108(constB97)),
% 15.13/10.41 inference(unit_resolution,[status(thm)],[16359, 16358, 16009])).
% 15.13/10.41 tff(16361,plain,
% 15.13/10.41 ((~(v110(constB98) <=> v108(constB97))) | v110(constB98) | (~v108(constB97))),
% 15.13/10.41 inference(tautology,[status(thm)],[])).
% 15.13/10.41 tff(16362,plain,
% 15.13/10.41 (v110(constB98)),
% 15.13/10.41 inference(unit_resolution,[status(thm)],[16361, 16360, 16007])).
% 15.13/10.41 tff(16363,plain,
% 15.13/10.41 ((~((~v101(constB98)) | (~v110(constB98)))) | (~v101(constB98)) | (~v110(constB98))),
% 15.13/10.41 inference(tautology,[status(thm)],[])).
% 15.13/10.41 tff(16364,plain,
% 15.13/10.41 (~((~v101(constB98)) | (~v110(constB98)))),
% 15.13/10.41 inference(unit_resolution,[status(thm)],[16363, 16362, 16003])).
% 15.13/10.41 tff(16365,plain,
% 15.13/10.41 ((~(v100(constB98) <=> (~((~v101(constB98)) | (~v110(constB98)))))) | v100(constB98) | ((~v101(constB98)) | (~v110(constB98)))),
% 15.13/10.41 inference(tautology,[status(thm)],[])).
% 15.13/10.41 tff(16366,plain,
% 15.13/10.41 (v100(constB98)),
% 15.13/10.41 inference(unit_resolution,[status(thm)],[16365, 16364, 15972])).
% 15.13/10.41 tff(16367,plain,
% 15.13/10.41 (((~![VarNext: $i] : ((~v100(VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v129(VarNext, B))))) | ((~v100(constB98)) | ![B: $i] : ((~less_3(B)) | (v90(constB98, B) <=> v129(constB98, B))))) <=> ((~![VarNext: $i] : ((~v100(VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v129(VarNext, B))))) | (~v100(constB98)) | ![B: $i] : ((~less_3(B)) | (v90(constB98, B) <=> v129(constB98, B))))),
% 15.13/10.41 inference(rewrite,[status(thm)],[])).
% 15.13/10.41 tff(16368,plain,
% 15.13/10.41 ((~![VarNext: $i] : ((~v100(VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v129(VarNext, B))))) | ((~v100(constB98)) | ![B: $i] : ((~less_3(B)) | (v90(constB98, B) <=> v129(constB98, B))))),
% 15.13/10.41 inference(quant_inst,[status(thm)],[])).
% 15.13/10.41 tff(16369,plain,
% 15.13/10.41 ((~![VarNext: $i] : ((~v100(VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v129(VarNext, B))))) | (~v100(constB98)) | ![B: $i] : ((~less_3(B)) | (v90(constB98, B) <=> v129(constB98, B)))),
% 15.13/10.41 inference(modus_ponens,[status(thm)],[16368, 16367])).
% 15.13/10.41 tff(16370,plain,
% 15.13/10.41 ((~v100(constB98)) | ![B: $i] : ((~less_3(B)) | (v90(constB98, B) <=> v129(constB98, B)))),
% 15.13/10.41 inference(unit_resolution,[status(thm)],[16369, 5134])).
% 15.13/10.41 tff(16371,plain,
% 15.13/10.41 (![B: $i] : ((~less_3(B)) | (v90(constB98, B) <=> v129(constB98, B)))),
% 15.13/10.41 inference(unit_resolution,[status(thm)],[16370, 16366])).
% 15.13/10.41 tff(16372,plain,
% 15.13/10.41 (((~![B: $i] : ((~less_3(B)) | (v90(constB98, B) <=> v129(constB98, B)))) | ((~less_3(bitIndex2)) | (v90(constB98, bitIndex2) <=> v129(constB98, bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v90(constB98, B) <=> v129(constB98, B)))) | (~less_3(bitIndex2)) | (v90(constB98, bitIndex2) <=> v129(constB98, bitIndex2)))),
% 15.13/10.41 inference(rewrite,[status(thm)],[])).
% 15.13/10.41 tff(16373,plain,
% 15.13/10.41 ((~![B: $i] : ((~less_3(B)) | (v90(constB98, B) <=> v129(constB98, B)))) | ((~less_3(bitIndex2)) | (v90(constB98, bitIndex2) <=> v129(constB98, bitIndex2)))),
% 15.13/10.41 inference(quant_inst,[status(thm)],[])).
% 15.13/10.41 tff(16374,plain,
% 15.13/10.41 ((~![B: $i] : ((~less_3(B)) | (v90(constB98, B) <=> v129(constB98, B)))) | (~less_3(bitIndex2)) | (v90(constB98, bitIndex2) <=> v129(constB98, bitIndex2))),
% 15.13/10.41 inference(modus_ponens,[status(thm)],[16373, 16372])).
% 15.13/10.41 tff(16375,plain,
% 15.13/10.41 (v90(constB98, bitIndex2) <=> v129(constB98, bitIndex2)),
% 15.13/10.41 inference(unit_resolution,[status(thm)],[16374, 413, 16371])).
% 15.13/10.41 tff(16376,plain,
% 15.13/10.41 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v129(VarNext, B) <=> v127(VarCurr, B))))) | ((~nextState(constB97, constB98)) | ![B: $i] : ((~less_3(B)) | (v129(constB98, B) <=> v127(constB97, B))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v129(VarNext, B) <=> v127(VarCurr, B))))) | (~nextState(constB97, constB98)) | ![B: $i] : ((~less_3(B)) | (v129(constB98, B) <=> v127(constB97, B))))),
% 15.13/10.41 inference(rewrite,[status(thm)],[])).
% 15.13/10.41 tff(16377,plain,
% 15.13/10.41 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v129(VarNext, B) <=> v127(VarCurr, B))))) | ((~nextState(constB97, constB98)) | ![B: $i] : ((~less_3(B)) | (v129(constB98, B) <=> v127(constB97, B))))),
% 15.13/10.41 inference(quant_inst,[status(thm)],[])).
% 15.13/10.41 tff(16378,plain,
% 15.13/10.41 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v129(VarNext, B) <=> v127(VarCurr, B))))) | (~nextState(constB97, constB98)) | ![B: $i] : ((~less_3(B)) | (v129(constB98, B) <=> v127(constB97, B)))),
% 15.13/10.41 inference(modus_ponens,[status(thm)],[16377, 16376])).
% 15.13/10.41 tff(16379,plain,
% 15.13/10.41 (![B: $i] : ((~less_3(B)) | (v129(constB98, B) <=> v127(constB97, B)))),
% 15.13/10.41 inference(unit_resolution,[status(thm)],[16378, 15968, 5156])).
% 15.13/10.41 tff(16380,plain,
% 15.13/10.41 (((~![B: $i] : ((~less_3(B)) | (v129(constB98, B) <=> v127(constB97, B)))) | ((~less_3(bitIndex2)) | (v129(constB98, bitIndex2) <=> v127(constB97, bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v129(constB98, B) <=> v127(constB97, B)))) | (~less_3(bitIndex2)) | (v129(constB98, bitIndex2) <=> v127(constB97, bitIndex2)))),
% 15.13/10.41 inference(rewrite,[status(thm)],[])).
% 15.13/10.41 tff(16381,plain,
% 15.13/10.41 ((~![B: $i] : ((~less_3(B)) | (v129(constB98, B) <=> v127(constB97, B)))) | ((~less_3(bitIndex2)) | (v129(constB98, bitIndex2) <=> v127(constB97, bitIndex2)))),
% 15.13/10.41 inference(quant_inst,[status(thm)],[])).
% 15.13/10.41 tff(16382,plain,
% 15.13/10.41 ((~![B: $i] : ((~less_3(B)) | (v129(constB98, B) <=> v127(constB97, B)))) | (~less_3(bitIndex2)) | (v129(constB98, bitIndex2) <=> v127(constB97, bitIndex2))),
% 15.13/10.41 inference(modus_ponens,[status(thm)],[16381, 16380])).
% 15.13/10.41 tff(16383,plain,
% 15.13/10.41 (v129(constB98, bitIndex2) <=> v127(constB97, bitIndex2)),
% 15.13/10.41 inference(unit_resolution,[status(thm)],[16382, 413, 16379])).
% 15.13/10.41 tff(16384,plain,
% 15.13/10.41 (((~![VarCurr: $i] : (v111(VarCurr) | ![B: $i] : ((~less_3(B)) | (v127(VarCurr, B) <=> v130(VarCurr, B))))) | (v111(constB97) | ![B: $i] : ((~less_3(B)) | (v127(constB97, B) <=> v130(constB97, B))))) <=> ((~![VarCurr: $i] : (v111(VarCurr) | ![B: $i] : ((~less_3(B)) | (v127(VarCurr, B) <=> v130(VarCurr, B))))) | v111(constB97) | ![B: $i] : ((~less_3(B)) | (v127(constB97, B) <=> v130(constB97, B))))),
% 15.13/10.41 inference(rewrite,[status(thm)],[])).
% 15.13/10.41 tff(16385,plain,
% 15.13/10.41 ((~![VarCurr: $i] : (v111(VarCurr) | ![B: $i] : ((~less_3(B)) | (v127(VarCurr, B) <=> v130(VarCurr, B))))) | (v111(constB97) | ![B: $i] : ((~less_3(B)) | (v127(constB97, B) <=> v130(constB97, B))))),
% 15.13/10.41 inference(quant_inst,[status(thm)],[])).
% 15.13/10.41 tff(16386,plain,
% 15.13/10.41 ((~![VarCurr: $i] : (v111(VarCurr) | ![B: $i] : ((~less_3(B)) | (v127(VarCurr, B) <=> v130(VarCurr, B))))) | v111(constB97) | ![B: $i] : ((~less_3(B)) | (v127(constB97, B) <=> v130(constB97, B)))),
% 15.13/10.41 inference(modus_ponens,[status(thm)],[16385, 16384])).
% 15.13/10.41 tff(16387,plain,
% 15.13/10.41 (![B: $i] : ((~less_3(B)) | (v127(constB97, B) <=> v130(constB97, B)))),
% 15.13/10.41 inference(unit_resolution,[status(thm)],[16386, 5177, 16348])).
% 15.13/10.41 tff(16388,plain,
% 15.13/10.41 (((~![B: $i] : ((~less_3(B)) | (v127(constB97, B) <=> v130(constB97, B)))) | ((~less_3(bitIndex2)) | (v127(constB97, bitIndex2) <=> v130(constB97, bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v127(constB97, B) <=> v130(constB97, B)))) | (~less_3(bitIndex2)) | (v127(constB97, bitIndex2) <=> v130(constB97, bitIndex2)))),
% 15.13/10.41 inference(rewrite,[status(thm)],[])).
% 15.13/10.41 tff(16389,plain,
% 15.13/10.41 ((~![B: $i] : ((~less_3(B)) | (v127(constB97, B) <=> v130(constB97, B)))) | ((~less_3(bitIndex2)) | (v127(constB97, bitIndex2) <=> v130(constB97, bitIndex2)))),
% 15.13/10.41 inference(quant_inst,[status(thm)],[])).
% 15.13/10.41 tff(16390,plain,
% 15.13/10.41 ((~![B: $i] : ((~less_3(B)) | (v127(constB97, B) <=> v130(constB97, B)))) | (~less_3(bitIndex2)) | (v127(constB97, bitIndex2) <=> v130(constB97, bitIndex2))),
% 15.13/10.41 inference(modus_ponens,[status(thm)],[16389, 16388])).
% 15.13/10.41 tff(16391,plain,
% 15.13/10.41 (v127(constB97, bitIndex2) <=> v130(constB97, bitIndex2)),
% 15.13/10.41 inference(unit_resolution,[status(thm)],[16390, 413, 16387])).
% 15.13/10.41 tff(16392,plain,
% 15.13/10.41 (((~![VarCurr: $i] : ((~v120(VarCurr)) | ![B: $i] : ((~less_3(B)) | (v130(VarCurr, B) <=> b010(B))))) | ((~v120(constB97)) | ![B: $i] : ((~less_3(B)) | (v130(constB97, B) <=> b010(B))))) <=> ((~![VarCurr: $i] : ((~v120(VarCurr)) | ![B: $i] : ((~less_3(B)) | (v130(VarCurr, B) <=> b010(B))))) | (~v120(constB97)) | ![B: $i] : ((~less_3(B)) | (v130(constB97, B) <=> b010(B))))),
% 15.13/10.41 inference(rewrite,[status(thm)],[])).
% 15.13/10.41 tff(16393,plain,
% 15.13/10.41 ((~![VarCurr: $i] : ((~v120(VarCurr)) | ![B: $i] : ((~less_3(B)) | (v130(VarCurr, B) <=> b010(B))))) | ((~v120(constB97)) | ![B: $i] : ((~less_3(B)) | (v130(constB97, B) <=> b010(B))))),
% 15.13/10.41 inference(quant_inst,[status(thm)],[])).
% 15.13/10.41 tff(16394,plain,
% 15.13/10.41 ((~![VarCurr: $i] : ((~v120(VarCurr)) | ![B: $i] : ((~less_3(B)) | (v130(VarCurr, B) <=> b010(B))))) | (~v120(constB97)) | ![B: $i] : ((~less_3(B)) | (v130(constB97, B) <=> b010(B)))),
% 15.13/10.41 inference(modus_ponens,[status(thm)],[16393, 16392])).
% 15.13/10.41 tff(16395,plain,
% 15.13/10.41 ((~v120(constB97)) | ![B: $i] : ((~less_3(B)) | (v130(constB97, B) <=> b010(B)))),
% 15.13/10.41 inference(unit_resolution,[status(thm)],[16394, 5797])).
% 15.13/10.41 tff(16396,plain,
% 15.13/10.41 (![B: $i] : ((~less_3(B)) | (v130(constB97, B) <=> b010(B)))),
% 15.13/10.41 inference(unit_resolution,[status(thm)],[16395, 16315])).
% 15.13/10.41 tff(16397,plain,
% 15.13/10.41 (((~![B: $i] : ((~less_3(B)) | (v130(constB97, B) <=> b010(B)))) | ((~less_3(bitIndex2)) | (v130(constB97, bitIndex2) <=> b010(bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v130(constB97, B) <=> b010(B)))) | (~less_3(bitIndex2)) | (v130(constB97, bitIndex2) <=> b010(bitIndex2)))),
% 15.13/10.41 inference(rewrite,[status(thm)],[])).
% 15.13/10.41 tff(16398,plain,
% 15.13/10.41 ((~![B: $i] : ((~less_3(B)) | (v130(constB97, B) <=> b010(B)))) | ((~less_3(bitIndex2)) | (v130(constB97, bitIndex2) <=> b010(bitIndex2)))),
% 15.13/10.41 inference(quant_inst,[status(thm)],[])).
% 15.13/10.41 tff(16399,plain,
% 15.13/10.41 ((~![B: $i] : ((~less_3(B)) | (v130(constB97, B) <=> b010(B)))) | (~less_3(bitIndex2)) | (v130(constB97, bitIndex2) <=> b010(bitIndex2))),
% 15.13/10.41 inference(modus_ponens,[status(thm)],[16398, 16397])).
% 15.13/10.41 tff(16400,plain,
% 15.13/10.41 (v130(constB97, bitIndex2) <=> b010(bitIndex2)),
% 15.13/10.41 inference(unit_resolution,[status(thm)],[16399, 413, 16396])).
% 15.13/10.41 tff(16401,plain,
% 15.13/10.41 ((~(v130(constB97, bitIndex2) <=> b010(bitIndex2))) | (~v130(constB97, bitIndex2)) | b010(bitIndex2)),
% 15.13/10.41 inference(tautology,[status(thm)],[])).
% 15.13/10.41 tff(16402,plain,
% 15.13/10.41 ((~(v130(constB97, bitIndex2) <=> b010(bitIndex2))) | (~v130(constB97, bitIndex2))),
% 15.13/10.41 inference(unit_resolution,[status(thm)],[16401, 5809])).
% 15.13/10.41 tff(16403,plain,
% 15.13/10.41 (~v130(constB97, bitIndex2)),
% 15.13/10.41 inference(unit_resolution,[status(thm)],[16402, 16400])).
% 15.13/10.41 tff(16404,plain,
% 15.13/10.41 ((~(v127(constB97, bitIndex2) <=> v130(constB97, bitIndex2))) | (~v127(constB97, bitIndex2)) | v130(constB97, bitIndex2)),
% 15.13/10.41 inference(tautology,[status(thm)],[])).
% 15.13/10.41 tff(16405,plain,
% 15.13/10.41 (~v127(constB97, bitIndex2)),
% 15.13/10.41 inference(unit_resolution,[status(thm)],[16404, 16403, 16391])).
% 15.13/10.41 tff(16406,plain,
% 15.13/10.41 ((~(v129(constB98, bitIndex2) <=> v127(constB97, bitIndex2))) | (~v129(constB98, bitIndex2)) | v127(constB97, bitIndex2)),
% 15.13/10.41 inference(tautology,[status(thm)],[])).
% 15.13/10.41 tff(16407,plain,
% 15.13/10.41 (~v129(constB98, bitIndex2)),
% 15.13/10.41 inference(unit_resolution,[status(thm)],[16406, 16405, 16383])).
% 15.13/10.41 tff(16408,plain,
% 15.13/10.41 ((~(v90(constB98, bitIndex2) <=> v129(constB98, bitIndex2))) | (~v90(constB98, bitIndex2)) | v129(constB98, bitIndex2)),
% 15.13/10.41 inference(tautology,[status(thm)],[])).
% 15.13/10.41 tff(16409,plain,
% 15.13/10.41 (~v90(constB98, bitIndex2)),
% 15.13/10.41 inference(unit_resolution,[status(thm)],[16408, 16407, 16375])).
% 15.13/10.41 tff(16410,plain,
% 15.13/10.41 ((~(v90(constB99, bitIndex2) <=> v90(constB98, bitIndex2))) | (~v90(constB99, bitIndex2)) | v90(constB98, bitIndex2)),
% 15.13/10.41 inference(tautology,[status(thm)],[])).
% 15.13/10.41 tff(16411,plain,
% 15.13/10.41 (~v90(constB99, bitIndex2)),
% 15.13/10.41 inference(unit_resolution,[status(thm)],[16410, 16409, 15965])).
% 15.13/10.41 tff(16412,plain,
% 15.13/10.41 (((~![B: $i] : ((~less_3(B)) | (v90(constB99, B) <=> v90(constB98, B)))) | ((~less_3(bitIndex0)) | (v90(constB99, bitIndex0) <=> v90(constB98, bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v90(constB99, B) <=> v90(constB98, B)))) | (~less_3(bitIndex0)) | (v90(constB99, bitIndex0) <=> v90(constB98, bitIndex0)))),
% 15.13/10.41 inference(rewrite,[status(thm)],[])).
% 15.13/10.41 tff(16413,plain,
% 15.13/10.41 ((~![B: $i] : ((~less_3(B)) | (v90(constB99, B) <=> v90(constB98, B)))) | ((~less_3(bitIndex0)) | (v90(constB99, bitIndex0) <=> v90(constB98, bitIndex0)))),
% 15.13/10.41 inference(quant_inst,[status(thm)],[])).
% 15.13/10.41 tff(16414,plain,
% 15.13/10.41 ((~![B: $i] : ((~less_3(B)) | (v90(constB99, B) <=> v90(constB98, B)))) | (~less_3(bitIndex0)) | (v90(constB99, bitIndex0) <=> v90(constB98, bitIndex0))),
% 15.13/10.41 inference(modus_ponens,[status(thm)],[16413, 16412])).
% 15.13/10.41 tff(16415,plain,
% 15.13/10.41 (v90(constB99, bitIndex0) <=> v90(constB98, bitIndex0)),
% 15.13/10.41 inference(unit_resolution,[status(thm)],[16414, 5004, 15961])).
% 15.13/10.41 tff(16416,plain,
% 15.13/10.41 (((~![B: $i] : ((~less_3(B)) | (v90(constB98, B) <=> v129(constB98, B)))) | ((~less_3(bitIndex0)) | (v90(constB98, bitIndex0) <=> v129(constB98, bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v90(constB98, B) <=> v129(constB98, B)))) | (~less_3(bitIndex0)) | (v90(constB98, bitIndex0) <=> v129(constB98, bitIndex0)))),
% 15.13/10.41 inference(rewrite,[status(thm)],[])).
% 15.13/10.41 tff(16417,plain,
% 15.13/10.41 ((~![B: $i] : ((~less_3(B)) | (v90(constB98, B) <=> v129(constB98, B)))) | ((~less_3(bitIndex0)) | (v90(constB98, bitIndex0) <=> v129(constB98, bitIndex0)))),
% 15.13/10.41 inference(quant_inst,[status(thm)],[])).
% 15.13/10.41 tff(16418,plain,
% 15.13/10.41 ((~![B: $i] : ((~less_3(B)) | (v90(constB98, B) <=> v129(constB98, B)))) | (~less_3(bitIndex0)) | (v90(constB98, bitIndex0) <=> v129(constB98, bitIndex0))),
% 15.13/10.41 inference(modus_ponens,[status(thm)],[16417, 16416])).
% 15.13/10.41 tff(16419,plain,
% 15.13/10.41 (v90(constB98, bitIndex0) <=> v129(constB98, bitIndex0)),
% 15.13/10.41 inference(unit_resolution,[status(thm)],[16418, 5004, 16371])).
% 15.13/10.41 tff(16420,plain,
% 15.13/10.41 (((~![B: $i] : ((~less_3(B)) | (v129(constB98, B) <=> v127(constB97, B)))) | ((~less_3(bitIndex0)) | (v129(constB98, bitIndex0) <=> v127(constB97, bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v129(constB98, B) <=> v127(constB97, B)))) | (~less_3(bitIndex0)) | (v129(constB98, bitIndex0) <=> v127(constB97, bitIndex0)))),
% 15.21/10.41 inference(rewrite,[status(thm)],[])).
% 15.21/10.41 tff(16421,plain,
% 15.21/10.41 ((~![B: $i] : ((~less_3(B)) | (v129(constB98, B) <=> v127(constB97, B)))) | ((~less_3(bitIndex0)) | (v129(constB98, bitIndex0) <=> v127(constB97, bitIndex0)))),
% 15.21/10.41 inference(quant_inst,[status(thm)],[])).
% 15.21/10.41 tff(16422,plain,
% 15.21/10.41 ((~![B: $i] : ((~less_3(B)) | (v129(constB98, B) <=> v127(constB97, B)))) | (~less_3(bitIndex0)) | (v129(constB98, bitIndex0) <=> v127(constB97, bitIndex0))),
% 15.21/10.41 inference(modus_ponens,[status(thm)],[16421, 16420])).
% 15.21/10.41 tff(16423,plain,
% 15.21/10.41 (v129(constB98, bitIndex0) <=> v127(constB97, bitIndex0)),
% 15.21/10.41 inference(unit_resolution,[status(thm)],[16422, 5004, 16379])).
% 15.21/10.41 tff(16424,plain,
% 15.21/10.41 (((~![B: $i] : ((~less_3(B)) | (v127(constB97, B) <=> v130(constB97, B)))) | ((~less_3(bitIndex0)) | (v127(constB97, bitIndex0) <=> v130(constB97, bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v127(constB97, B) <=> v130(constB97, B)))) | (~less_3(bitIndex0)) | (v127(constB97, bitIndex0) <=> v130(constB97, bitIndex0)))),
% 15.21/10.41 inference(rewrite,[status(thm)],[])).
% 15.21/10.41 tff(16425,plain,
% 15.21/10.41 ((~![B: $i] : ((~less_3(B)) | (v127(constB97, B) <=> v130(constB97, B)))) | ((~less_3(bitIndex0)) | (v127(constB97, bitIndex0) <=> v130(constB97, bitIndex0)))),
% 15.21/10.41 inference(quant_inst,[status(thm)],[])).
% 15.21/10.41 tff(16426,plain,
% 15.21/10.41 ((~![B: $i] : ((~less_3(B)) | (v127(constB97, B) <=> v130(constB97, B)))) | (~less_3(bitIndex0)) | (v127(constB97, bitIndex0) <=> v130(constB97, bitIndex0))),
% 15.21/10.41 inference(modus_ponens,[status(thm)],[16425, 16424])).
% 15.21/10.41 tff(16427,plain,
% 15.21/10.41 (v127(constB97, bitIndex0) <=> v130(constB97, bitIndex0)),
% 15.21/10.41 inference(unit_resolution,[status(thm)],[16426, 5004, 16387])).
% 15.21/10.41 tff(16428,plain,
% 15.21/10.41 (((~![B: $i] : ((~less_3(B)) | (v130(constB97, B) <=> b010(B)))) | ((~less_3(bitIndex0)) | (v130(constB97, bitIndex0) <=> b010(bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v130(constB97, B) <=> b010(B)))) | (~less_3(bitIndex0)) | (v130(constB97, bitIndex0) <=> b010(bitIndex0)))),
% 15.21/10.41 inference(rewrite,[status(thm)],[])).
% 15.21/10.41 tff(16429,plain,
% 15.21/10.41 ((~![B: $i] : ((~less_3(B)) | (v130(constB97, B) <=> b010(B)))) | ((~less_3(bitIndex0)) | (v130(constB97, bitIndex0) <=> b010(bitIndex0)))),
% 15.21/10.41 inference(quant_inst,[status(thm)],[])).
% 15.21/10.41 tff(16430,plain,
% 15.21/10.41 ((~![B: $i] : ((~less_3(B)) | (v130(constB97, B) <=> b010(B)))) | (~less_3(bitIndex0)) | (v130(constB97, bitIndex0) <=> b010(bitIndex0))),
% 15.21/10.41 inference(modus_ponens,[status(thm)],[16429, 16428])).
% 15.21/10.41 tff(16431,plain,
% 15.21/10.41 (v130(constB97, bitIndex0) <=> b010(bitIndex0)),
% 15.21/10.41 inference(unit_resolution,[status(thm)],[16430, 5004, 16396])).
% 15.21/10.41 tff(16432,plain,
% 15.21/10.41 ((~(v130(constB97, bitIndex0) <=> b010(bitIndex0))) | (~v130(constB97, bitIndex0)) | b010(bitIndex0)),
% 15.21/10.41 inference(tautology,[status(thm)],[])).
% 15.21/10.41 tff(16433,plain,
% 15.21/10.41 ((~(v130(constB97, bitIndex0) <=> b010(bitIndex0))) | (~v130(constB97, bitIndex0))),
% 15.21/10.41 inference(unit_resolution,[status(thm)],[16432, 5843])).
% 15.21/10.41 tff(16434,plain,
% 15.21/10.41 (~v130(constB97, bitIndex0)),
% 15.21/10.41 inference(unit_resolution,[status(thm)],[16433, 16431])).
% 15.21/10.41 tff(16435,plain,
% 15.21/10.41 ((~(v127(constB97, bitIndex0) <=> v130(constB97, bitIndex0))) | (~v127(constB97, bitIndex0)) | v130(constB97, bitIndex0)),
% 15.21/10.41 inference(tautology,[status(thm)],[])).
% 15.21/10.41 tff(16436,plain,
% 15.21/10.41 (~v127(constB97, bitIndex0)),
% 15.21/10.41 inference(unit_resolution,[status(thm)],[16435, 16434, 16427])).
% 15.21/10.41 tff(16437,plain,
% 15.21/10.41 ((~(v129(constB98, bitIndex0) <=> v127(constB97, bitIndex0))) | (~v129(constB98, bitIndex0)) | v127(constB97, bitIndex0)),
% 15.21/10.41 inference(tautology,[status(thm)],[])).
% 15.21/10.41 tff(16438,plain,
% 15.21/10.41 (~v129(constB98, bitIndex0)),
% 15.21/10.41 inference(unit_resolution,[status(thm)],[16437, 16436, 16423])).
% 15.21/10.41 tff(16439,plain,
% 15.21/10.41 ((~(v90(constB98, bitIndex0) <=> v129(constB98, bitIndex0))) | (~v90(constB98, bitIndex0)) | v129(constB98, bitIndex0)),
% 15.21/10.41 inference(tautology,[status(thm)],[])).
% 15.21/10.41 tff(16440,plain,
% 15.21/10.41 (~v90(constB98, bitIndex0)),
% 15.21/10.41 inference(unit_resolution,[status(thm)],[16439, 16438, 16419])).
% 15.21/10.41 tff(16441,plain,
% 15.21/10.41 ((~(v90(constB99, bitIndex0) <=> v90(constB98, bitIndex0))) | (~v90(constB99, bitIndex0)) | v90(constB98, bitIndex0)),
% 15.21/10.42 inference(tautology,[status(thm)],[])).
% 15.21/10.42 tff(16442,plain,
% 15.21/10.42 (~v90(constB99, bitIndex0)),
% 15.21/10.42 inference(unit_resolution,[status(thm)],[16441, 16440, 16415])).
% 15.21/10.42 tff(16443,plain,
% 15.21/10.42 (((~![B: $i] : ((~less_3(B)) | (v90(constB99, B) <=> v90(constB98, B)))) | ((~less_3(bitIndex1)) | (v90(constB99, bitIndex1) <=> v90(constB98, bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v90(constB99, B) <=> v90(constB98, B)))) | (~less_3(bitIndex1)) | (v90(constB99, bitIndex1) <=> v90(constB98, bitIndex1)))),
% 15.21/10.42 inference(rewrite,[status(thm)],[])).
% 15.21/10.42 tff(16444,plain,
% 15.21/10.42 ((~![B: $i] : ((~less_3(B)) | (v90(constB99, B) <=> v90(constB98, B)))) | ((~less_3(bitIndex1)) | (v90(constB99, bitIndex1) <=> v90(constB98, bitIndex1)))),
% 15.21/10.42 inference(quant_inst,[status(thm)],[])).
% 15.21/10.42 tff(16445,plain,
% 15.21/10.42 ((~![B: $i] : ((~less_3(B)) | (v90(constB99, B) <=> v90(constB98, B)))) | (~less_3(bitIndex1)) | (v90(constB99, bitIndex1) <=> v90(constB98, bitIndex1))),
% 15.21/10.42 inference(modus_ponens,[status(thm)],[16444, 16443])).
% 15.21/10.42 tff(16446,plain,
% 15.21/10.42 (v90(constB99, bitIndex1) <=> v90(constB98, bitIndex1)),
% 15.21/10.42 inference(unit_resolution,[status(thm)],[16445, 5017, 15961])).
% 15.21/10.42 tff(16447,plain,
% 15.21/10.42 (((~![B: $i] : ((~less_3(B)) | (v90(constB98, B) <=> v129(constB98, B)))) | ((~less_3(bitIndex1)) | (v90(constB98, bitIndex1) <=> v129(constB98, bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v90(constB98, B) <=> v129(constB98, B)))) | (~less_3(bitIndex1)) | (v90(constB98, bitIndex1) <=> v129(constB98, bitIndex1)))),
% 15.21/10.42 inference(rewrite,[status(thm)],[])).
% 15.21/10.42 tff(16448,plain,
% 15.21/10.42 ((~![B: $i] : ((~less_3(B)) | (v90(constB98, B) <=> v129(constB98, B)))) | ((~less_3(bitIndex1)) | (v90(constB98, bitIndex1) <=> v129(constB98, bitIndex1)))),
% 15.21/10.42 inference(quant_inst,[status(thm)],[])).
% 15.21/10.42 tff(16449,plain,
% 15.21/10.42 ((~![B: $i] : ((~less_3(B)) | (v90(constB98, B) <=> v129(constB98, B)))) | (~less_3(bitIndex1)) | (v90(constB98, bitIndex1) <=> v129(constB98, bitIndex1))),
% 15.21/10.42 inference(modus_ponens,[status(thm)],[16448, 16447])).
% 15.21/10.42 tff(16450,plain,
% 15.21/10.42 (v90(constB98, bitIndex1) <=> v129(constB98, bitIndex1)),
% 15.21/10.42 inference(unit_resolution,[status(thm)],[16449, 5017, 16371])).
% 15.21/10.42 tff(16451,plain,
% 15.21/10.42 (((~![B: $i] : ((~less_3(B)) | (v129(constB98, B) <=> v127(constB97, B)))) | ((~less_3(bitIndex1)) | (v129(constB98, bitIndex1) <=> v127(constB97, bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v129(constB98, B) <=> v127(constB97, B)))) | (~less_3(bitIndex1)) | (v129(constB98, bitIndex1) <=> v127(constB97, bitIndex1)))),
% 15.21/10.42 inference(rewrite,[status(thm)],[])).
% 15.21/10.42 tff(16452,plain,
% 15.21/10.42 ((~![B: $i] : ((~less_3(B)) | (v129(constB98, B) <=> v127(constB97, B)))) | ((~less_3(bitIndex1)) | (v129(constB98, bitIndex1) <=> v127(constB97, bitIndex1)))),
% 15.21/10.42 inference(quant_inst,[status(thm)],[])).
% 15.21/10.42 tff(16453,plain,
% 15.21/10.42 ((~![B: $i] : ((~less_3(B)) | (v129(constB98, B) <=> v127(constB97, B)))) | (~less_3(bitIndex1)) | (v129(constB98, bitIndex1) <=> v127(constB97, bitIndex1))),
% 15.21/10.42 inference(modus_ponens,[status(thm)],[16452, 16451])).
% 15.21/10.42 tff(16454,plain,
% 15.21/10.42 (v129(constB98, bitIndex1) <=> v127(constB97, bitIndex1)),
% 15.21/10.42 inference(unit_resolution,[status(thm)],[16453, 5017, 16379])).
% 15.21/10.42 tff(16455,plain,
% 15.21/10.42 (((~![B: $i] : ((~less_3(B)) | (v127(constB97, B) <=> v130(constB97, B)))) | ((~less_3(bitIndex1)) | (v127(constB97, bitIndex1) <=> v130(constB97, bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v127(constB97, B) <=> v130(constB97, B)))) | (~less_3(bitIndex1)) | (v127(constB97, bitIndex1) <=> v130(constB97, bitIndex1)))),
% 15.21/10.42 inference(rewrite,[status(thm)],[])).
% 15.21/10.42 tff(16456,plain,
% 15.21/10.42 ((~![B: $i] : ((~less_3(B)) | (v127(constB97, B) <=> v130(constB97, B)))) | ((~less_3(bitIndex1)) | (v127(constB97, bitIndex1) <=> v130(constB97, bitIndex1)))),
% 15.21/10.42 inference(quant_inst,[status(thm)],[])).
% 15.21/10.42 tff(16457,plain,
% 15.21/10.42 ((~![B: $i] : ((~less_3(B)) | (v127(constB97, B) <=> v130(constB97, B)))) | (~less_3(bitIndex1)) | (v127(constB97, bitIndex1) <=> v130(constB97, bitIndex1))),
% 15.21/10.42 inference(modus_ponens,[status(thm)],[16456, 16455])).
% 15.21/10.42 tff(16458,plain,
% 15.21/10.42 (v127(constB97, bitIndex1) <=> v130(constB97, bitIndex1)),
% 15.21/10.42 inference(unit_resolution,[status(thm)],[16457, 5017, 16387])).
% 15.21/10.42 tff(16459,plain,
% 15.21/10.42 (((~![B: $i] : ((~less_3(B)) | (v130(constB97, B) <=> b010(B)))) | ((~less_3(bitIndex1)) | (v130(constB97, bitIndex1) <=> b010(bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v130(constB97, B) <=> b010(B)))) | (~less_3(bitIndex1)) | (v130(constB97, bitIndex1) <=> b010(bitIndex1)))),
% 15.21/10.42 inference(rewrite,[status(thm)],[])).
% 15.21/10.42 tff(16460,plain,
% 15.21/10.42 ((~![B: $i] : ((~less_3(B)) | (v130(constB97, B) <=> b010(B)))) | ((~less_3(bitIndex1)) | (v130(constB97, bitIndex1) <=> b010(bitIndex1)))),
% 15.21/10.42 inference(quant_inst,[status(thm)],[])).
% 15.21/10.42 tff(16461,plain,
% 15.21/10.42 ((~![B: $i] : ((~less_3(B)) | (v130(constB97, B) <=> b010(B)))) | (~less_3(bitIndex1)) | (v130(constB97, bitIndex1) <=> b010(bitIndex1))),
% 15.21/10.42 inference(modus_ponens,[status(thm)],[16460, 16459])).
% 15.21/10.42 tff(16462,plain,
% 15.21/10.42 (v130(constB97, bitIndex1) <=> b010(bitIndex1)),
% 15.21/10.42 inference(unit_resolution,[status(thm)],[16461, 5017, 16396])).
% 15.21/10.42 tff(16463,plain,
% 15.21/10.42 ((~(v130(constB97, bitIndex1) <=> b010(bitIndex1))) | v130(constB97, bitIndex1) | (~b010(bitIndex1))),
% 15.21/10.42 inference(tautology,[status(thm)],[])).
% 15.21/10.42 tff(16464,plain,
% 15.21/10.42 ((~(v130(constB97, bitIndex1) <=> b010(bitIndex1))) | v130(constB97, bitIndex1)),
% 15.21/10.42 inference(unit_resolution,[status(thm)],[16463, 5877])).
% 15.21/10.42 tff(16465,plain,
% 15.21/10.42 (v130(constB97, bitIndex1)),
% 15.21/10.42 inference(unit_resolution,[status(thm)],[16464, 16462])).
% 15.21/10.42 tff(16466,plain,
% 15.21/10.42 ((~(v127(constB97, bitIndex1) <=> v130(constB97, bitIndex1))) | v127(constB97, bitIndex1) | (~v130(constB97, bitIndex1))),
% 15.21/10.42 inference(tautology,[status(thm)],[])).
% 15.21/10.42 tff(16467,plain,
% 15.21/10.42 (v127(constB97, bitIndex1)),
% 15.21/10.42 inference(unit_resolution,[status(thm)],[16466, 16465, 16458])).
% 15.21/10.42 tff(16468,plain,
% 15.21/10.42 ((~(v129(constB98, bitIndex1) <=> v127(constB97, bitIndex1))) | v129(constB98, bitIndex1) | (~v127(constB97, bitIndex1))),
% 15.21/10.42 inference(tautology,[status(thm)],[])).
% 15.21/10.42 tff(16469,plain,
% 15.21/10.42 (v129(constB98, bitIndex1)),
% 15.21/10.42 inference(unit_resolution,[status(thm)],[16468, 16467, 16454])).
% 15.21/10.42 tff(16470,plain,
% 15.21/10.42 ((~(v90(constB98, bitIndex1) <=> v129(constB98, bitIndex1))) | v90(constB98, bitIndex1) | (~v129(constB98, bitIndex1))),
% 15.21/10.42 inference(tautology,[status(thm)],[])).
% 15.21/10.42 tff(16471,plain,
% 15.21/10.42 (v90(constB98, bitIndex1)),
% 15.21/10.42 inference(unit_resolution,[status(thm)],[16470, 16469, 16450])).
% 15.21/10.42 tff(16472,plain,
% 15.21/10.42 ((~(v90(constB99, bitIndex1) <=> v90(constB98, bitIndex1))) | v90(constB99, bitIndex1) | (~v90(constB98, bitIndex1))),
% 15.21/10.42 inference(tautology,[status(thm)],[])).
% 15.21/10.42 tff(16473,plain,
% 15.21/10.42 (v90(constB99, bitIndex1)),
% 15.21/10.42 inference(unit_resolution,[status(thm)],[16472, 16471, 16446])).
% 15.21/10.42 tff(16474,plain,
% 15.21/10.42 ((~(v90(constB99, bitIndex2) | (~v90(constB99, bitIndex1)) | v90(constB99, bitIndex0))) | v90(constB99, bitIndex2) | (~v90(constB99, bitIndex1)) | v90(constB99, bitIndex0)),
% 15.21/10.42 inference(tautology,[status(thm)],[])).
% 15.21/10.42 tff(16475,plain,
% 15.21/10.42 (~(v90(constB99, bitIndex2) | (~v90(constB99, bitIndex1)) | v90(constB99, bitIndex0))),
% 15.21/10.42 inference(unit_resolution,[status(thm)],[16474, 16473, 16442, 16411])).
% 15.21/10.42 tff(16476,plain,
% 15.21/10.42 ((~(v121(constB99) <=> (~(v90(constB99, bitIndex2) | (~v90(constB99, bitIndex1)) | v90(constB99, bitIndex0))))) | v121(constB99) | (v90(constB99, bitIndex2) | (~v90(constB99, bitIndex1)) | v90(constB99, bitIndex0))),
% 15.21/10.42 inference(tautology,[status(thm)],[])).
% 15.21/10.42 tff(16477,plain,
% 15.21/10.42 (v121(constB99)),
% 15.21/10.42 inference(unit_resolution,[status(thm)],[16476, 16475, 15933])).
% 15.21/10.42 tff(16478,plain,
% 15.21/10.42 ((v118(constB99) | v121(constB99)) | (~v121(constB99))),
% 15.21/10.42 inference(tautology,[status(thm)],[])).
% 15.21/10.42 tff(16479,plain,
% 15.21/10.42 (v118(constB99) | v121(constB99)),
% 15.21/10.42 inference(unit_resolution,[status(thm)],[16478, 16477])).
% 15.21/10.42 tff(16480,plain,
% 15.21/10.42 ((~(v117(constB99) <=> (v118(constB99) | v121(constB99)))) | v117(constB99) | (~(v118(constB99) | v121(constB99)))),
% 15.21/10.42 inference(tautology,[status(thm)],[])).
% 15.21/10.42 tff(16481,plain,
% 15.21/10.42 (v117(constB99)),
% 15.21/10.42 inference(unit_resolution,[status(thm)],[16480, 16479, 15926])).
% 15.21/10.42 tff(16482,plain,
% 15.21/10.42 ((v117(constB99) | v122(constB99)) | (~v117(constB99))),
% 15.21/10.42 inference(tautology,[status(thm)],[])).
% 15.21/10.42 tff(16483,plain,
% 15.21/10.42 (v117(constB99) | v122(constB99)),
% 15.21/10.42 inference(unit_resolution,[status(thm)],[16482, 16481])).
% 15.21/10.42 tff(16484,plain,
% 15.21/10.42 ((~(v116(constB99) <=> (v117(constB99) | v122(constB99)))) | v116(constB99) | (~(v117(constB99) | v122(constB99)))),
% 15.21/10.42 inference(tautology,[status(thm)],[])).
% 15.21/10.42 tff(16485,plain,
% 15.21/10.42 (v116(constB99)),
% 15.21/10.42 inference(unit_resolution,[status(thm)],[16484, 16483, 15924])).
% 15.21/10.42 tff(16486,plain,
% 15.21/10.42 ((v116(constB99) | v123(constB99)) | (~v116(constB99))),
% 15.21/10.42 inference(tautology,[status(thm)],[])).
% 15.21/10.42 tff(16487,plain,
% 15.21/10.42 (v116(constB99) | v123(constB99)),
% 15.21/10.42 inference(unit_resolution,[status(thm)],[16486, 16485])).
% 15.21/10.42 tff(16488,plain,
% 15.21/10.42 ((~(v115(constB99) <=> (v116(constB99) | v123(constB99)))) | v115(constB99) | (~(v116(constB99) | v123(constB99)))),
% 15.21/10.42 inference(tautology,[status(thm)],[])).
% 15.21/10.42 tff(16489,plain,
% 15.21/10.42 (v115(constB99)),
% 15.21/10.42 inference(unit_resolution,[status(thm)],[16488, 16487, 15922])).
% 15.21/10.42 tff(16490,plain,
% 15.21/10.42 ((v115(constB99) | v124(constB99)) | (~v115(constB99))),
% 15.21/10.42 inference(tautology,[status(thm)],[])).
% 15.21/10.42 tff(16491,plain,
% 15.21/10.42 (v115(constB99) | v124(constB99)),
% 15.21/10.42 inference(unit_resolution,[status(thm)],[16490, 16489])).
% 15.21/10.42 tff(16492,plain,
% 15.21/10.42 ((~(v114(constB99) <=> (v115(constB99) | v124(constB99)))) | v114(constB99) | (~(v115(constB99) | v124(constB99)))),
% 15.21/10.42 inference(tautology,[status(thm)],[])).
% 15.21/10.42 tff(16493,plain,
% 15.21/10.42 (v114(constB99)),
% 15.21/10.42 inference(unit_resolution,[status(thm)],[16492, 16491, 15920])).
% 15.21/10.42 tff(16494,plain,
% 15.21/10.42 ((v114(constB99) | v125(constB99)) | (~v114(constB99))),
% 15.21/10.42 inference(tautology,[status(thm)],[])).
% 15.21/10.42 tff(16495,plain,
% 15.21/10.42 (v114(constB99) | v125(constB99)),
% 15.21/10.42 inference(unit_resolution,[status(thm)],[16494, 16493])).
% 15.21/10.42 tff(16496,plain,
% 15.21/10.42 ((~(v113(constB99) <=> (v114(constB99) | v125(constB99)))) | v113(constB99) | (~(v114(constB99) | v125(constB99)))),
% 15.21/10.42 inference(tautology,[status(thm)],[])).
% 15.21/10.42 tff(16497,plain,
% 15.21/10.42 (v113(constB99)),
% 15.21/10.42 inference(unit_resolution,[status(thm)],[16496, 16495, 15918])).
% 15.21/10.42 tff(16498,plain,
% 15.21/10.42 ((~![VarCurr: $i] : ((~v126(VarCurr)) <=> v111(VarCurr))) | ((~v126(constB99)) <=> v111(constB99))),
% 15.21/10.42 inference(quant_inst,[status(thm)],[])).
% 15.21/10.42 tff(16499,plain,
% 15.21/10.42 ((~v126(constB99)) <=> v111(constB99)),
% 15.21/10.42 inference(unit_resolution,[status(thm)],[16498, 5074])).
% 15.21/10.42 tff(16500,plain,
% 15.21/10.42 ((~![VarCurr: $i] : (v111(VarCurr) <=> v26(VarCurr))) | (v111(constB99) <=> v26(constB99))),
% 15.21/10.42 inference(quant_inst,[status(thm)],[])).
% 15.21/10.42 tff(16501,plain,
% 15.21/10.42 (v111(constB99) <=> v26(constB99)),
% 15.21/10.42 inference(unit_resolution,[status(thm)],[16500, 5086])).
% 15.21/10.42 tff(16502,plain,
% 15.21/10.42 ((~![VarCurr: $i] : (~v26(VarCurr))) | (~v26(constB99))),
% 15.21/10.42 inference(quant_inst,[status(thm)],[])).
% 15.21/10.42 tff(16503,plain,
% 15.21/10.42 (~v26(constB99)),
% 15.21/10.42 inference(unit_resolution,[status(thm)],[16502, 5098])).
% 15.21/10.42 tff(16504,plain,
% 15.21/10.42 ((~(v111(constB99) <=> v26(constB99))) | (~v111(constB99)) | v26(constB99)),
% 15.21/10.42 inference(tautology,[status(thm)],[])).
% 15.21/10.42 tff(16505,plain,
% 15.21/10.42 ((~(v111(constB99) <=> v26(constB99))) | (~v111(constB99))),
% 15.21/10.42 inference(unit_resolution,[status(thm)],[16504, 16503])).
% 15.21/10.42 tff(16506,plain,
% 15.21/10.42 (~v111(constB99)),
% 15.21/10.42 inference(unit_resolution,[status(thm)],[16505, 16501])).
% 15.21/10.42 tff(16507,plain,
% 15.21/10.42 ((~((~v126(constB99)) <=> v111(constB99))) | v126(constB99) | v111(constB99)),
% 15.21/10.42 inference(tautology,[status(thm)],[])).
% 15.21/10.42 tff(16508,plain,
% 15.21/10.42 ((~((~v126(constB99)) <=> v111(constB99))) | v126(constB99)),
% 15.21/10.42 inference(unit_resolution,[status(thm)],[16507, 16506])).
% 15.21/10.42 tff(16509,plain,
% 15.21/10.42 (v126(constB99)),
% 15.21/10.42 inference(unit_resolution,[status(thm)],[16508, 16499])).
% 15.21/10.42 tff(16510,plain,
% 15.21/10.42 ((~((~v113(constB99)) | (~v126(constB99)))) | (~v113(constB99)) | (~v126(constB99))),
% 15.21/10.42 inference(tautology,[status(thm)],[])).
% 15.21/10.42 tff(16511,plain,
% 15.21/10.42 ((~((~v113(constB99)) | (~v126(constB99)))) | (~v113(constB99))),
% 15.21/10.42 inference(unit_resolution,[status(thm)],[16510, 16509])).
% 15.21/10.42 tff(16512,plain,
% 15.21/10.42 (~((~v113(constB99)) | (~v126(constB99)))),
% 15.21/10.42 inference(unit_resolution,[status(thm)],[16511, 16497])).
% 15.21/10.42 tff(16513,plain,
% 15.21/10.42 ((~(v112(constB99) <=> (~((~v113(constB99)) | (~v126(constB99)))))) | v112(constB99) | ((~v113(constB99)) | (~v126(constB99)))),
% 15.21/10.42 inference(tautology,[status(thm)],[])).
% 15.21/10.42 tff(16514,plain,
% 15.21/10.42 (v112(constB99)),
% 15.21/10.42 inference(unit_resolution,[status(thm)],[16513, 16512, 15916])).
% 15.21/10.42 tff(16515,plain,
% 15.21/10.42 ((v111(constB99) | v112(constB99)) | (~v112(constB99))),
% 15.21/10.42 inference(tautology,[status(thm)],[])).
% 15.21/10.42 tff(16516,plain,
% 15.21/10.42 (v111(constB99) | v112(constB99)),
% 15.21/10.42 inference(unit_resolution,[status(thm)],[16515, 16514])).
% 15.21/10.42 tff(16517,plain,
% 15.21/10.42 ((~(v108(constB99) <=> (v111(constB99) | v112(constB99)))) | v108(constB99) | (~(v111(constB99) | v112(constB99)))),
% 15.21/10.42 inference(tautology,[status(thm)],[])).
% 15.21/10.42 tff(16518,plain,
% 15.21/10.42 (v108(constB99)),
% 15.21/10.42 inference(unit_resolution,[status(thm)],[16517, 16516, 15914])).
% 15.21/10.42 tff(16519,plain,
% 15.21/10.42 ((~(v110(constB100) <=> v108(constB99))) | v110(constB100) | (~v108(constB99))),
% 15.21/10.42 inference(tautology,[status(thm)],[])).
% 15.21/10.42 tff(16520,plain,
% 15.21/10.42 (v110(constB100)),
% 15.21/10.42 inference(unit_resolution,[status(thm)],[16519, 16518, 15912])).
% 15.21/10.42 tff(16521,plain,
% 15.21/10.42 ((~((~v101(constB100)) | (~v110(constB100)))) | (~v101(constB100)) | (~v110(constB100))),
% 15.21/10.42 inference(tautology,[status(thm)],[])).
% 15.21/10.42 tff(16522,plain,
% 15.21/10.42 (~((~v101(constB100)) | (~v110(constB100)))),
% 15.21/10.42 inference(unit_resolution,[status(thm)],[16521, 16520, 15908])).
% 15.21/10.42 tff(16523,plain,
% 15.21/10.42 ((~(v100(constB100) <=> (~((~v101(constB100)) | (~v110(constB100)))))) | v100(constB100) | ((~v101(constB100)) | (~v110(constB100)))),
% 15.21/10.42 inference(tautology,[status(thm)],[])).
% 15.21/10.42 tff(16524,plain,
% 15.21/10.42 (v100(constB100)),
% 15.21/10.42 inference(unit_resolution,[status(thm)],[16523, 16522, 15877])).
% 15.21/10.42 tff(16525,plain,
% 15.21/10.42 (((~![VarNext: $i] : ((~v100(VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v129(VarNext, B))))) | ((~v100(constB100)) | ![B: $i] : ((~less_3(B)) | (v90(constB100, B) <=> v129(constB100, B))))) <=> ((~![VarNext: $i] : ((~v100(VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v129(VarNext, B))))) | (~v100(constB100)) | ![B: $i] : ((~less_3(B)) | (v90(constB100, B) <=> v129(constB100, B))))),
% 15.21/10.42 inference(rewrite,[status(thm)],[])).
% 15.21/10.42 tff(16526,plain,
% 15.21/10.42 ((~![VarNext: $i] : ((~v100(VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v129(VarNext, B))))) | ((~v100(constB100)) | ![B: $i] : ((~less_3(B)) | (v90(constB100, B) <=> v129(constB100, B))))),
% 15.21/10.42 inference(quant_inst,[status(thm)],[])).
% 15.21/10.42 tff(16527,plain,
% 15.21/10.42 ((~![VarNext: $i] : ((~v100(VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v129(VarNext, B))))) | (~v100(constB100)) | ![B: $i] : ((~less_3(B)) | (v90(constB100, B) <=> v129(constB100, B)))),
% 15.21/10.42 inference(modus_ponens,[status(thm)],[16526, 16525])).
% 15.21/10.42 tff(16528,plain,
% 15.21/10.42 ((~v100(constB100)) | ![B: $i] : ((~less_3(B)) | (v90(constB100, B) <=> v129(constB100, B)))),
% 15.21/10.42 inference(unit_resolution,[status(thm)],[16527, 5134])).
% 15.21/10.42 tff(16529,plain,
% 15.21/10.42 (![B: $i] : ((~less_3(B)) | (v90(constB100, B) <=> v129(constB100, B)))),
% 15.21/10.42 inference(unit_resolution,[status(thm)],[16528, 16524])).
% 15.21/10.42 tff(16530,plain,
% 15.21/10.42 (((~![B: $i] : ((~less_3(B)) | (v90(constB100, B) <=> v129(constB100, B)))) | ((~less_3(bitIndex2)) | (v90(constB100, bitIndex2) <=> v129(constB100, bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v90(constB100, B) <=> v129(constB100, B)))) | (~less_3(bitIndex2)) | (v90(constB100, bitIndex2) <=> v129(constB100, bitIndex2)))),
% 15.21/10.42 inference(rewrite,[status(thm)],[])).
% 15.21/10.42 tff(16531,plain,
% 15.21/10.42 ((~![B: $i] : ((~less_3(B)) | (v90(constB100, B) <=> v129(constB100, B)))) | ((~less_3(bitIndex2)) | (v90(constB100, bitIndex2) <=> v129(constB100, bitIndex2)))),
% 15.21/10.42 inference(quant_inst,[status(thm)],[])).
% 15.21/10.42 tff(16532,plain,
% 15.21/10.42 ((~![B: $i] : ((~less_3(B)) | (v90(constB100, B) <=> v129(constB100, B)))) | (~less_3(bitIndex2)) | (v90(constB100, bitIndex2) <=> v129(constB100, bitIndex2))),
% 15.21/10.42 inference(modus_ponens,[status(thm)],[16531, 16530])).
% 15.21/10.42 tff(16533,plain,
% 15.21/10.42 (v90(constB100, bitIndex2) <=> v129(constB100, bitIndex2)),
% 15.21/10.42 inference(unit_resolution,[status(thm)],[16532, 413, 16529])).
% 15.21/10.42 tff(16534,plain,
% 15.21/10.42 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v129(VarNext, B) <=> v127(VarCurr, B))))) | ((~nextState(constB99, constB100)) | ![B: $i] : ((~less_3(B)) | (v129(constB100, B) <=> v127(constB99, B))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v129(VarNext, B) <=> v127(VarCurr, B))))) | (~nextState(constB99, constB100)) | ![B: $i] : ((~less_3(B)) | (v129(constB100, B) <=> v127(constB99, B))))),
% 15.21/10.42 inference(rewrite,[status(thm)],[])).
% 15.21/10.42 tff(16535,plain,
% 15.21/10.42 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v129(VarNext, B) <=> v127(VarCurr, B))))) | ((~nextState(constB99, constB100)) | ![B: $i] : ((~less_3(B)) | (v129(constB100, B) <=> v127(constB99, B))))),
% 15.21/10.42 inference(quant_inst,[status(thm)],[])).
% 15.21/10.42 tff(16536,plain,
% 15.21/10.42 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v129(VarNext, B) <=> v127(VarCurr, B))))) | (~nextState(constB99, constB100)) | ![B: $i] : ((~less_3(B)) | (v129(constB100, B) <=> v127(constB99, B)))),
% 15.21/10.42 inference(modus_ponens,[status(thm)],[16535, 16534])).
% 15.21/10.42 tff(16537,plain,
% 15.21/10.42 (![B: $i] : ((~less_3(B)) | (v129(constB100, B) <=> v127(constB99, B)))),
% 15.21/10.42 inference(unit_resolution,[status(thm)],[16536, 15873, 5156])).
% 15.21/10.42 tff(16538,plain,
% 15.21/10.42 (((~![B: $i] : ((~less_3(B)) | (v129(constB100, B) <=> v127(constB99, B)))) | ((~less_3(bitIndex2)) | (v129(constB100, bitIndex2) <=> v127(constB99, bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v129(constB100, B) <=> v127(constB99, B)))) | (~less_3(bitIndex2)) | (v129(constB100, bitIndex2) <=> v127(constB99, bitIndex2)))),
% 15.21/10.42 inference(rewrite,[status(thm)],[])).
% 15.21/10.42 tff(16539,plain,
% 15.21/10.42 ((~![B: $i] : ((~less_3(B)) | (v129(constB100, B) <=> v127(constB99, B)))) | ((~less_3(bitIndex2)) | (v129(constB100, bitIndex2) <=> v127(constB99, bitIndex2)))),
% 15.21/10.42 inference(quant_inst,[status(thm)],[])).
% 15.21/10.42 tff(16540,plain,
% 15.21/10.42 ((~![B: $i] : ((~less_3(B)) | (v129(constB100, B) <=> v127(constB99, B)))) | (~less_3(bitIndex2)) | (v129(constB100, bitIndex2) <=> v127(constB99, bitIndex2))),
% 15.21/10.42 inference(modus_ponens,[status(thm)],[16539, 16538])).
% 15.21/10.42 tff(16541,plain,
% 15.21/10.42 (v129(constB100, bitIndex2) <=> v127(constB99, bitIndex2)),
% 15.21/10.42 inference(unit_resolution,[status(thm)],[16540, 413, 16537])).
% 15.21/10.42 tff(16542,plain,
% 15.21/10.42 (((~![VarCurr: $i] : (v111(VarCurr) | ![B: $i] : ((~less_3(B)) | (v127(VarCurr, B) <=> v130(VarCurr, B))))) | (v111(constB99) | ![B: $i] : ((~less_3(B)) | (v127(constB99, B) <=> v130(constB99, B))))) <=> ((~![VarCurr: $i] : (v111(VarCurr) | ![B: $i] : ((~less_3(B)) | (v127(VarCurr, B) <=> v130(VarCurr, B))))) | v111(constB99) | ![B: $i] : ((~less_3(B)) | (v127(constB99, B) <=> v130(constB99, B))))),
% 15.21/10.42 inference(rewrite,[status(thm)],[])).
% 15.21/10.42 tff(16543,plain,
% 15.21/10.42 ((~![VarCurr: $i] : (v111(VarCurr) | ![B: $i] : ((~less_3(B)) | (v127(VarCurr, B) <=> v130(VarCurr, B))))) | (v111(constB99) | ![B: $i] : ((~less_3(B)) | (v127(constB99, B) <=> v130(constB99, B))))),
% 15.21/10.42 inference(quant_inst,[status(thm)],[])).
% 15.21/10.42 tff(16544,plain,
% 15.21/10.42 ((~![VarCurr: $i] : (v111(VarCurr) | ![B: $i] : ((~less_3(B)) | (v127(VarCurr, B) <=> v130(VarCurr, B))))) | v111(constB99) | ![B: $i] : ((~less_3(B)) | (v127(constB99, B) <=> v130(constB99, B)))),
% 15.21/10.42 inference(modus_ponens,[status(thm)],[16543, 16542])).
% 15.21/10.42 tff(16545,plain,
% 15.21/10.42 (![B: $i] : ((~less_3(B)) | (v127(constB99, B) <=> v130(constB99, B)))),
% 15.21/10.42 inference(unit_resolution,[status(thm)],[16544, 5177, 16506])).
% 15.21/10.42 tff(16546,plain,
% 15.21/10.42 (((~![B: $i] : ((~less_3(B)) | (v127(constB99, B) <=> v130(constB99, B)))) | ((~less_3(bitIndex2)) | (v127(constB99, bitIndex2) <=> v130(constB99, bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v127(constB99, B) <=> v130(constB99, B)))) | (~less_3(bitIndex2)) | (v127(constB99, bitIndex2) <=> v130(constB99, bitIndex2)))),
% 15.21/10.42 inference(rewrite,[status(thm)],[])).
% 15.21/10.42 tff(16547,plain,
% 15.21/10.42 ((~![B: $i] : ((~less_3(B)) | (v127(constB99, B) <=> v130(constB99, B)))) | ((~less_3(bitIndex2)) | (v127(constB99, bitIndex2) <=> v130(constB99, bitIndex2)))),
% 15.21/10.42 inference(quant_inst,[status(thm)],[])).
% 15.21/10.42 tff(16548,plain,
% 15.21/10.42 ((~![B: $i] : ((~less_3(B)) | (v127(constB99, B) <=> v130(constB99, B)))) | (~less_3(bitIndex2)) | (v127(constB99, bitIndex2) <=> v130(constB99, bitIndex2))),
% 15.21/10.42 inference(modus_ponens,[status(thm)],[16547, 16546])).
% 15.21/10.42 tff(16549,plain,
% 15.21/10.42 (v127(constB99, bitIndex2) <=> v130(constB99, bitIndex2)),
% 15.21/10.42 inference(unit_resolution,[status(thm)],[16548, 413, 16545])).
% 15.21/10.42 tff(16550,plain,
% 15.21/10.42 (((~![VarCurr: $i] : ((~v121(VarCurr)) | ![B: $i] : ((~less_3(B)) | (v130(VarCurr, B) <=> b011(B))))) | ((~v121(constB99)) | ![B: $i] : ((~less_3(B)) | (v130(constB99, B) <=> b011(B))))) <=> ((~![VarCurr: $i] : ((~v121(VarCurr)) | ![B: $i] : ((~less_3(B)) | (v130(VarCurr, B) <=> b011(B))))) | (~v121(constB99)) | ![B: $i] : ((~less_3(B)) | (v130(constB99, B) <=> b011(B))))),
% 15.21/10.42 inference(rewrite,[status(thm)],[])).
% 15.21/10.42 tff(16551,plain,
% 15.21/10.42 ((~![VarCurr: $i] : ((~v121(VarCurr)) | ![B: $i] : ((~less_3(B)) | (v130(VarCurr, B) <=> b011(B))))) | ((~v121(constB99)) | ![B: $i] : ((~less_3(B)) | (v130(constB99, B) <=> b011(B))))),
% 15.21/10.42 inference(quant_inst,[status(thm)],[])).
% 15.21/10.42 tff(16552,plain,
% 15.21/10.42 ((~![VarCurr: $i] : ((~v121(VarCurr)) | ![B: $i] : ((~less_3(B)) | (v130(VarCurr, B) <=> b011(B))))) | (~v121(constB99)) | ![B: $i] : ((~less_3(B)) | (v130(constB99, B) <=> b011(B)))),
% 15.21/10.42 inference(modus_ponens,[status(thm)],[16551, 16550])).
% 15.21/10.42 tff(16553,plain,
% 15.21/10.42 ((~v121(constB99)) | ![B: $i] : ((~less_3(B)) | (v130(constB99, B) <=> b011(B)))),
% 15.21/10.42 inference(unit_resolution,[status(thm)],[16552, 5977])).
% 15.21/10.42 tff(16554,plain,
% 15.21/10.42 (![B: $i] : ((~less_3(B)) | (v130(constB99, B) <=> b011(B)))),
% 15.21/10.42 inference(unit_resolution,[status(thm)],[16553, 16477])).
% 15.21/10.42 tff(16555,plain,
% 15.21/10.42 (((~![B: $i] : ((~less_3(B)) | (v130(constB99, B) <=> b011(B)))) | ((~less_3(bitIndex2)) | (v130(constB99, bitIndex2) <=> b011(bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v130(constB99, B) <=> b011(B)))) | (~less_3(bitIndex2)) | (v130(constB99, bitIndex2) <=> b011(bitIndex2)))),
% 15.21/10.42 inference(rewrite,[status(thm)],[])).
% 15.21/10.42 tff(16556,plain,
% 15.21/10.42 ((~![B: $i] : ((~less_3(B)) | (v130(constB99, B) <=> b011(B)))) | ((~less_3(bitIndex2)) | (v130(constB99, bitIndex2) <=> b011(bitIndex2)))),
% 15.21/10.42 inference(quant_inst,[status(thm)],[])).
% 15.21/10.42 tff(16557,plain,
% 15.21/10.42 ((~![B: $i] : ((~less_3(B)) | (v130(constB99, B) <=> b011(B)))) | (~less_3(bitIndex2)) | (v130(constB99, bitIndex2) <=> b011(bitIndex2))),
% 15.21/10.42 inference(modus_ponens,[status(thm)],[16556, 16555])).
% 15.21/10.42 tff(16558,plain,
% 15.21/10.42 (v130(constB99, bitIndex2) <=> b011(bitIndex2)),
% 15.21/10.42 inference(unit_resolution,[status(thm)],[16557, 413, 16554])).
% 15.21/10.42 tff(16559,plain,
% 15.21/10.42 ((~(v130(constB99, bitIndex2) <=> b011(bitIndex2))) | (~v130(constB99, bitIndex2)) | b011(bitIndex2)),
% 15.21/10.42 inference(tautology,[status(thm)],[])).
% 15.21/10.42 tff(16560,plain,
% 15.21/10.42 ((~(v130(constB99, bitIndex2) <=> b011(bitIndex2))) | (~v130(constB99, bitIndex2))),
% 15.21/10.42 inference(unit_resolution,[status(thm)],[16559, 5989])).
% 15.21/10.42 tff(16561,plain,
% 15.21/10.42 (~v130(constB99, bitIndex2)),
% 15.21/10.42 inference(unit_resolution,[status(thm)],[16560, 16558])).
% 15.21/10.42 tff(16562,plain,
% 15.21/10.42 ((~(v127(constB99, bitIndex2) <=> v130(constB99, bitIndex2))) | (~v127(constB99, bitIndex2)) | v130(constB99, bitIndex2)),
% 15.21/10.42 inference(tautology,[status(thm)],[])).
% 15.21/10.42 tff(16563,plain,
% 15.21/10.42 (~v127(constB99, bitIndex2)),
% 15.21/10.42 inference(unit_resolution,[status(thm)],[16562, 16561, 16549])).
% 15.21/10.42 tff(16564,plain,
% 15.21/10.42 ((~(v129(constB100, bitIndex2) <=> v127(constB99, bitIndex2))) | (~v129(constB100, bitIndex2)) | v127(constB99, bitIndex2)),
% 15.21/10.42 inference(tautology,[status(thm)],[])).
% 15.21/10.42 tff(16565,plain,
% 15.21/10.42 (~v129(constB100, bitIndex2)),
% 15.21/10.42 inference(unit_resolution,[status(thm)],[16564, 16563, 16541])).
% 15.21/10.42 tff(16566,plain,
% 15.21/10.42 ((~(v90(constB100, bitIndex2) <=> v129(constB100, bitIndex2))) | (~v90(constB100, bitIndex2)) | v129(constB100, bitIndex2)),
% 15.21/10.42 inference(tautology,[status(thm)],[])).
% 15.21/10.42 tff(16567,plain,
% 15.21/10.42 (~v90(constB100, bitIndex2)),
% 15.21/10.42 inference(unit_resolution,[status(thm)],[16566, 16565, 16533])).
% 15.21/10.42 tff(16568,plain,
% 15.21/10.42 ((~(v90(constB101, bitIndex2) <=> v90(constB100, bitIndex2))) | (~v90(constB101, bitIndex2)) | v90(constB100, bitIndex2)),
% 15.21/10.42 inference(tautology,[status(thm)],[])).
% 15.21/10.42 tff(16569,plain,
% 15.21/10.42 (~v90(constB101, bitIndex2)),
% 15.21/10.42 inference(unit_resolution,[status(thm)],[16568, 16567, 15870])).
% 15.21/10.42 tff(16570,plain,
% 15.21/10.42 (((~![B: $i] : ((~less_3(B)) | (v90(constB101, B) <=> v90(constB100, B)))) | ((~less_3(bitIndex0)) | (v90(constB101, bitIndex0) <=> v90(constB100, bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v90(constB101, B) <=> v90(constB100, B)))) | (~less_3(bitIndex0)) | (v90(constB101, bitIndex0) <=> v90(constB100, bitIndex0)))),
% 15.21/10.42 inference(rewrite,[status(thm)],[])).
% 15.21/10.42 tff(16571,plain,
% 15.21/10.42 ((~![B: $i] : ((~less_3(B)) | (v90(constB101, B) <=> v90(constB100, B)))) | ((~less_3(bitIndex0)) | (v90(constB101, bitIndex0) <=> v90(constB100, bitIndex0)))),
% 15.21/10.42 inference(quant_inst,[status(thm)],[])).
% 15.21/10.42 tff(16572,plain,
% 15.21/10.42 ((~![B: $i] : ((~less_3(B)) | (v90(constB101, B) <=> v90(constB100, B)))) | (~less_3(bitIndex0)) | (v90(constB101, bitIndex0) <=> v90(constB100, bitIndex0))),
% 15.21/10.42 inference(modus_ponens,[status(thm)],[16571, 16570])).
% 15.21/10.42 tff(16573,plain,
% 15.21/10.42 (v90(constB101, bitIndex0) <=> v90(constB100, bitIndex0)),
% 15.21/10.42 inference(unit_resolution,[status(thm)],[16572, 5004, 15866])).
% 15.21/10.42 tff(16574,plain,
% 15.21/10.42 (((~![B: $i] : ((~less_3(B)) | (v90(constB100, B) <=> v129(constB100, B)))) | ((~less_3(bitIndex0)) | (v90(constB100, bitIndex0) <=> v129(constB100, bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v90(constB100, B) <=> v129(constB100, B)))) | (~less_3(bitIndex0)) | (v90(constB100, bitIndex0) <=> v129(constB100, bitIndex0)))),
% 15.21/10.42 inference(rewrite,[status(thm)],[])).
% 15.21/10.42 tff(16575,plain,
% 15.21/10.42 ((~![B: $i] : ((~less_3(B)) | (v90(constB100, B) <=> v129(constB100, B)))) | ((~less_3(bitIndex0)) | (v90(constB100, bitIndex0) <=> v129(constB100, bitIndex0)))),
% 15.21/10.42 inference(quant_inst,[status(thm)],[])).
% 15.21/10.42 tff(16576,plain,
% 15.21/10.42 ((~![B: $i] : ((~less_3(B)) | (v90(constB100, B) <=> v129(constB100, B)))) | (~less_3(bitIndex0)) | (v90(constB100, bitIndex0) <=> v129(constB100, bitIndex0))),
% 15.21/10.42 inference(modus_ponens,[status(thm)],[16575, 16574])).
% 15.21/10.42 tff(16577,plain,
% 15.21/10.42 (v90(constB100, bitIndex0) <=> v129(constB100, bitIndex0)),
% 15.21/10.42 inference(unit_resolution,[status(thm)],[16576, 5004, 16529])).
% 15.21/10.42 tff(16578,plain,
% 15.21/10.42 (((~![B: $i] : ((~less_3(B)) | (v129(constB100, B) <=> v127(constB99, B)))) | ((~less_3(bitIndex0)) | (v129(constB100, bitIndex0) <=> v127(constB99, bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v129(constB100, B) <=> v127(constB99, B)))) | (~less_3(bitIndex0)) | (v129(constB100, bitIndex0) <=> v127(constB99, bitIndex0)))),
% 15.21/10.42 inference(rewrite,[status(thm)],[])).
% 15.21/10.42 tff(16579,plain,
% 15.21/10.42 ((~![B: $i] : ((~less_3(B)) | (v129(constB100, B) <=> v127(constB99, B)))) | ((~less_3(bitIndex0)) | (v129(constB100, bitIndex0) <=> v127(constB99, bitIndex0)))),
% 15.21/10.42 inference(quant_inst,[status(thm)],[])).
% 15.21/10.42 tff(16580,plain,
% 15.21/10.42 ((~![B: $i] : ((~less_3(B)) | (v129(constB100, B) <=> v127(constB99, B)))) | (~less_3(bitIndex0)) | (v129(constB100, bitIndex0) <=> v127(constB99, bitIndex0))),
% 15.21/10.42 inference(modus_ponens,[status(thm)],[16579, 16578])).
% 15.21/10.42 tff(16581,plain,
% 15.21/10.42 (v129(constB100, bitIndex0) <=> v127(constB99, bitIndex0)),
% 15.21/10.42 inference(unit_resolution,[status(thm)],[16580, 5004, 16537])).
% 15.21/10.42 tff(16582,plain,
% 15.21/10.42 (((~![B: $i] : ((~less_3(B)) | (v127(constB99, B) <=> v130(constB99, B)))) | ((~less_3(bitIndex0)) | (v127(constB99, bitIndex0) <=> v130(constB99, bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v127(constB99, B) <=> v130(constB99, B)))) | (~less_3(bitIndex0)) | (v127(constB99, bitIndex0) <=> v130(constB99, bitIndex0)))),
% 15.21/10.42 inference(rewrite,[status(thm)],[])).
% 15.21/10.42 tff(16583,plain,
% 15.21/10.42 ((~![B: $i] : ((~less_3(B)) | (v127(constB99, B) <=> v130(constB99, B)))) | ((~less_3(bitIndex0)) | (v127(constB99, bitIndex0) <=> v130(constB99, bitIndex0)))),
% 15.21/10.42 inference(quant_inst,[status(thm)],[])).
% 15.21/10.42 tff(16584,plain,
% 15.21/10.42 ((~![B: $i] : ((~less_3(B)) | (v127(constB99, B) <=> v130(constB99, B)))) | (~less_3(bitIndex0)) | (v127(constB99, bitIndex0) <=> v130(constB99, bitIndex0))),
% 15.21/10.42 inference(modus_ponens,[status(thm)],[16583, 16582])).
% 15.21/10.42 tff(16585,plain,
% 15.21/10.42 (v127(constB99, bitIndex0) <=> v130(constB99, bitIndex0)),
% 15.21/10.43 inference(unit_resolution,[status(thm)],[16584, 5004, 16545])).
% 15.21/10.43 tff(16586,plain,
% 15.21/10.43 (((~![B: $i] : ((~less_3(B)) | (v130(constB99, B) <=> b011(B)))) | ((~less_3(bitIndex0)) | (v130(constB99, bitIndex0) <=> b011(bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v130(constB99, B) <=> b011(B)))) | (~less_3(bitIndex0)) | (v130(constB99, bitIndex0) <=> b011(bitIndex0)))),
% 15.21/10.43 inference(rewrite,[status(thm)],[])).
% 15.21/10.43 tff(16587,plain,
% 15.21/10.43 ((~![B: $i] : ((~less_3(B)) | (v130(constB99, B) <=> b011(B)))) | ((~less_3(bitIndex0)) | (v130(constB99, bitIndex0) <=> b011(bitIndex0)))),
% 15.21/10.43 inference(quant_inst,[status(thm)],[])).
% 15.21/10.43 tff(16588,plain,
% 15.21/10.43 ((~![B: $i] : ((~less_3(B)) | (v130(constB99, B) <=> b011(B)))) | (~less_3(bitIndex0)) | (v130(constB99, bitIndex0) <=> b011(bitIndex0))),
% 15.21/10.43 inference(modus_ponens,[status(thm)],[16587, 16586])).
% 15.21/10.43 tff(16589,plain,
% 15.21/10.43 (v130(constB99, bitIndex0) <=> b011(bitIndex0)),
% 15.21/10.43 inference(unit_resolution,[status(thm)],[16588, 5004, 16554])).
% 15.21/10.43 tff(16590,plain,
% 15.21/10.43 ((~(v130(constB99, bitIndex0) <=> b011(bitIndex0))) | v130(constB99, bitIndex0) | (~b011(bitIndex0))),
% 15.21/10.43 inference(tautology,[status(thm)],[])).
% 15.21/10.43 tff(16591,plain,
% 15.21/10.43 ((~(v130(constB99, bitIndex0) <=> b011(bitIndex0))) | v130(constB99, bitIndex0)),
% 15.21/10.43 inference(unit_resolution,[status(thm)],[16590, 6023])).
% 15.21/10.43 tff(16592,plain,
% 15.21/10.43 (v130(constB99, bitIndex0)),
% 15.21/10.43 inference(unit_resolution,[status(thm)],[16591, 16589])).
% 15.21/10.43 tff(16593,plain,
% 15.21/10.43 ((~(v127(constB99, bitIndex0) <=> v130(constB99, bitIndex0))) | v127(constB99, bitIndex0) | (~v130(constB99, bitIndex0))),
% 15.21/10.43 inference(tautology,[status(thm)],[])).
% 15.21/10.43 tff(16594,plain,
% 15.21/10.43 (v127(constB99, bitIndex0)),
% 15.21/10.43 inference(unit_resolution,[status(thm)],[16593, 16592, 16585])).
% 15.21/10.43 tff(16595,plain,
% 15.21/10.43 ((~(v129(constB100, bitIndex0) <=> v127(constB99, bitIndex0))) | v129(constB100, bitIndex0) | (~v127(constB99, bitIndex0))),
% 15.21/10.43 inference(tautology,[status(thm)],[])).
% 15.21/10.43 tff(16596,plain,
% 15.21/10.43 (v129(constB100, bitIndex0)),
% 15.21/10.43 inference(unit_resolution,[status(thm)],[16595, 16594, 16581])).
% 15.21/10.43 tff(16597,plain,
% 15.21/10.43 ((~(v90(constB100, bitIndex0) <=> v129(constB100, bitIndex0))) | v90(constB100, bitIndex0) | (~v129(constB100, bitIndex0))),
% 15.21/10.43 inference(tautology,[status(thm)],[])).
% 15.21/10.43 tff(16598,plain,
% 15.21/10.43 (v90(constB100, bitIndex0)),
% 15.21/10.43 inference(unit_resolution,[status(thm)],[16597, 16596, 16577])).
% 15.21/10.43 tff(16599,plain,
% 15.21/10.43 ((~(v90(constB101, bitIndex0) <=> v90(constB100, bitIndex0))) | v90(constB101, bitIndex0) | (~v90(constB100, bitIndex0))),
% 15.21/10.43 inference(tautology,[status(thm)],[])).
% 15.21/10.43 tff(16600,plain,
% 15.21/10.43 (v90(constB101, bitIndex0)),
% 15.21/10.43 inference(unit_resolution,[status(thm)],[16599, 16598, 16573])).
% 15.21/10.43 tff(16601,plain,
% 15.21/10.43 (((~![B: $i] : ((~less_3(B)) | (v90(constB101, B) <=> v90(constB100, B)))) | ((~less_3(bitIndex1)) | (v90(constB101, bitIndex1) <=> v90(constB100, bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v90(constB101, B) <=> v90(constB100, B)))) | (~less_3(bitIndex1)) | (v90(constB101, bitIndex1) <=> v90(constB100, bitIndex1)))),
% 15.21/10.43 inference(rewrite,[status(thm)],[])).
% 15.21/10.43 tff(16602,plain,
% 15.21/10.43 ((~![B: $i] : ((~less_3(B)) | (v90(constB101, B) <=> v90(constB100, B)))) | ((~less_3(bitIndex1)) | (v90(constB101, bitIndex1) <=> v90(constB100, bitIndex1)))),
% 15.21/10.43 inference(quant_inst,[status(thm)],[])).
% 15.21/10.43 tff(16603,plain,
% 15.21/10.43 ((~![B: $i] : ((~less_3(B)) | (v90(constB101, B) <=> v90(constB100, B)))) | (~less_3(bitIndex1)) | (v90(constB101, bitIndex1) <=> v90(constB100, bitIndex1))),
% 15.21/10.43 inference(modus_ponens,[status(thm)],[16602, 16601])).
% 15.21/10.43 tff(16604,plain,
% 15.21/10.43 (v90(constB101, bitIndex1) <=> v90(constB100, bitIndex1)),
% 15.21/10.43 inference(unit_resolution,[status(thm)],[16603, 5017, 15866])).
% 15.21/10.43 tff(16605,plain,
% 15.21/10.43 (((~![B: $i] : ((~less_3(B)) | (v90(constB100, B) <=> v129(constB100, B)))) | ((~less_3(bitIndex1)) | (v90(constB100, bitIndex1) <=> v129(constB100, bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v90(constB100, B) <=> v129(constB100, B)))) | (~less_3(bitIndex1)) | (v90(constB100, bitIndex1) <=> v129(constB100, bitIndex1)))),
% 15.21/10.43 inference(rewrite,[status(thm)],[])).
% 15.21/10.43 tff(16606,plain,
% 15.21/10.43 ((~![B: $i] : ((~less_3(B)) | (v90(constB100, B) <=> v129(constB100, B)))) | ((~less_3(bitIndex1)) | (v90(constB100, bitIndex1) <=> v129(constB100, bitIndex1)))),
% 15.21/10.43 inference(quant_inst,[status(thm)],[])).
% 15.21/10.43 tff(16607,plain,
% 15.21/10.43 ((~![B: $i] : ((~less_3(B)) | (v90(constB100, B) <=> v129(constB100, B)))) | (~less_3(bitIndex1)) | (v90(constB100, bitIndex1) <=> v129(constB100, bitIndex1))),
% 15.21/10.43 inference(modus_ponens,[status(thm)],[16606, 16605])).
% 15.21/10.43 tff(16608,plain,
% 15.21/10.43 (v90(constB100, bitIndex1) <=> v129(constB100, bitIndex1)),
% 15.21/10.43 inference(unit_resolution,[status(thm)],[16607, 5017, 16529])).
% 15.21/10.43 tff(16609,plain,
% 15.21/10.43 (((~![B: $i] : ((~less_3(B)) | (v129(constB100, B) <=> v127(constB99, B)))) | ((~less_3(bitIndex1)) | (v129(constB100, bitIndex1) <=> v127(constB99, bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v129(constB100, B) <=> v127(constB99, B)))) | (~less_3(bitIndex1)) | (v129(constB100, bitIndex1) <=> v127(constB99, bitIndex1)))),
% 15.21/10.43 inference(rewrite,[status(thm)],[])).
% 15.21/10.43 tff(16610,plain,
% 15.21/10.43 ((~![B: $i] : ((~less_3(B)) | (v129(constB100, B) <=> v127(constB99, B)))) | ((~less_3(bitIndex1)) | (v129(constB100, bitIndex1) <=> v127(constB99, bitIndex1)))),
% 15.21/10.43 inference(quant_inst,[status(thm)],[])).
% 15.21/10.43 tff(16611,plain,
% 15.21/10.43 ((~![B: $i] : ((~less_3(B)) | (v129(constB100, B) <=> v127(constB99, B)))) | (~less_3(bitIndex1)) | (v129(constB100, bitIndex1) <=> v127(constB99, bitIndex1))),
% 15.21/10.43 inference(modus_ponens,[status(thm)],[16610, 16609])).
% 15.21/10.43 tff(16612,plain,
% 15.21/10.43 (v129(constB100, bitIndex1) <=> v127(constB99, bitIndex1)),
% 15.21/10.43 inference(unit_resolution,[status(thm)],[16611, 5017, 16537])).
% 15.21/10.43 tff(16613,plain,
% 15.21/10.43 (((~![B: $i] : ((~less_3(B)) | (v127(constB99, B) <=> v130(constB99, B)))) | ((~less_3(bitIndex1)) | (v127(constB99, bitIndex1) <=> v130(constB99, bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v127(constB99, B) <=> v130(constB99, B)))) | (~less_3(bitIndex1)) | (v127(constB99, bitIndex1) <=> v130(constB99, bitIndex1)))),
% 15.21/10.43 inference(rewrite,[status(thm)],[])).
% 15.21/10.43 tff(16614,plain,
% 15.21/10.43 ((~![B: $i] : ((~less_3(B)) | (v127(constB99, B) <=> v130(constB99, B)))) | ((~less_3(bitIndex1)) | (v127(constB99, bitIndex1) <=> v130(constB99, bitIndex1)))),
% 15.21/10.43 inference(quant_inst,[status(thm)],[])).
% 15.21/10.43 tff(16615,plain,
% 15.21/10.43 ((~![B: $i] : ((~less_3(B)) | (v127(constB99, B) <=> v130(constB99, B)))) | (~less_3(bitIndex1)) | (v127(constB99, bitIndex1) <=> v130(constB99, bitIndex1))),
% 15.21/10.43 inference(modus_ponens,[status(thm)],[16614, 16613])).
% 15.21/10.43 tff(16616,plain,
% 15.21/10.43 (v127(constB99, bitIndex1) <=> v130(constB99, bitIndex1)),
% 15.21/10.43 inference(unit_resolution,[status(thm)],[16615, 5017, 16545])).
% 15.21/10.43 tff(16617,plain,
% 15.21/10.43 (((~![B: $i] : ((~less_3(B)) | (v130(constB99, B) <=> b011(B)))) | ((~less_3(bitIndex1)) | (v130(constB99, bitIndex1) <=> b011(bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v130(constB99, B) <=> b011(B)))) | (~less_3(bitIndex1)) | (v130(constB99, bitIndex1) <=> b011(bitIndex1)))),
% 15.21/10.43 inference(rewrite,[status(thm)],[])).
% 15.21/10.43 tff(16618,plain,
% 15.21/10.43 ((~![B: $i] : ((~less_3(B)) | (v130(constB99, B) <=> b011(B)))) | ((~less_3(bitIndex1)) | (v130(constB99, bitIndex1) <=> b011(bitIndex1)))),
% 15.21/10.43 inference(quant_inst,[status(thm)],[])).
% 15.21/10.43 tff(16619,plain,
% 15.21/10.43 ((~![B: $i] : ((~less_3(B)) | (v130(constB99, B) <=> b011(B)))) | (~less_3(bitIndex1)) | (v130(constB99, bitIndex1) <=> b011(bitIndex1))),
% 15.21/10.43 inference(modus_ponens,[status(thm)],[16618, 16617])).
% 15.21/10.43 tff(16620,plain,
% 15.21/10.43 (v130(constB99, bitIndex1) <=> b011(bitIndex1)),
% 15.21/10.43 inference(unit_resolution,[status(thm)],[16619, 5017, 16554])).
% 15.21/10.43 tff(16621,plain,
% 15.21/10.43 ((~(v130(constB99, bitIndex1) <=> b011(bitIndex1))) | v130(constB99, bitIndex1) | (~b011(bitIndex1))),
% 15.21/10.43 inference(tautology,[status(thm)],[])).
% 15.21/10.43 tff(16622,plain,
% 15.21/10.43 ((~(v130(constB99, bitIndex1) <=> b011(bitIndex1))) | v130(constB99, bitIndex1)),
% 15.21/10.43 inference(unit_resolution,[status(thm)],[16621, 6057])).
% 15.21/10.43 tff(16623,plain,
% 15.21/10.43 (v130(constB99, bitIndex1)),
% 15.21/10.43 inference(unit_resolution,[status(thm)],[16622, 16620])).
% 15.21/10.43 tff(16624,plain,
% 15.21/10.43 ((~(v127(constB99, bitIndex1) <=> v130(constB99, bitIndex1))) | v127(constB99, bitIndex1) | (~v130(constB99, bitIndex1))),
% 15.21/10.43 inference(tautology,[status(thm)],[])).
% 15.21/10.43 tff(16625,plain,
% 15.21/10.43 (v127(constB99, bitIndex1)),
% 15.21/10.43 inference(unit_resolution,[status(thm)],[16624, 16623, 16616])).
% 15.21/10.43 tff(16626,plain,
% 15.21/10.43 ((~(v129(constB100, bitIndex1) <=> v127(constB99, bitIndex1))) | v129(constB100, bitIndex1) | (~v127(constB99, bitIndex1))),
% 15.21/10.43 inference(tautology,[status(thm)],[])).
% 15.21/10.43 tff(16627,plain,
% 15.21/10.43 (v129(constB100, bitIndex1)),
% 15.21/10.43 inference(unit_resolution,[status(thm)],[16626, 16625, 16612])).
% 15.21/10.43 tff(16628,plain,
% 15.21/10.43 ((~(v90(constB100, bitIndex1) <=> v129(constB100, bitIndex1))) | v90(constB100, bitIndex1) | (~v129(constB100, bitIndex1))),
% 15.21/10.43 inference(tautology,[status(thm)],[])).
% 15.21/10.43 tff(16629,plain,
% 15.21/10.43 (v90(constB100, bitIndex1)),
% 15.21/10.43 inference(unit_resolution,[status(thm)],[16628, 16627, 16608])).
% 15.21/10.43 tff(16630,plain,
% 15.21/10.43 ((~(v90(constB101, bitIndex1) <=> v90(constB100, bitIndex1))) | v90(constB101, bitIndex1) | (~v90(constB100, bitIndex1))),
% 15.21/10.43 inference(tautology,[status(thm)],[])).
% 15.21/10.43 tff(16631,plain,
% 15.21/10.43 (v90(constB101, bitIndex1)),
% 15.21/10.43 inference(unit_resolution,[status(thm)],[16630, 16629, 16604])).
% 15.21/10.43 tff(16632,plain,
% 15.21/10.43 ((~(v90(constB101, bitIndex2) | (~v90(constB101, bitIndex1)) | (~v90(constB101, bitIndex0)))) | v90(constB101, bitIndex2) | (~v90(constB101, bitIndex1)) | (~v90(constB101, bitIndex0))),
% 15.21/10.43 inference(tautology,[status(thm)],[])).
% 15.21/10.43 tff(16633,plain,
% 15.21/10.43 (~(v90(constB101, bitIndex2) | (~v90(constB101, bitIndex1)) | (~v90(constB101, bitIndex0)))),
% 15.21/10.43 inference(unit_resolution,[status(thm)],[16632, 16631, 16600, 16569])).
% 15.21/10.43 tff(16634,plain,
% 15.21/10.43 ((~(v122(constB101) <=> (~(v90(constB101, bitIndex2) | (~v90(constB101, bitIndex1)) | (~v90(constB101, bitIndex0)))))) | v122(constB101) | (v90(constB101, bitIndex2) | (~v90(constB101, bitIndex1)) | (~v90(constB101, bitIndex0)))),
% 15.21/10.43 inference(tautology,[status(thm)],[])).
% 15.21/10.43 tff(16635,plain,
% 15.21/10.43 (v122(constB101)),
% 15.21/10.43 inference(unit_resolution,[status(thm)],[16634, 16633, 15838])).
% 15.21/10.43 tff(16636,plain,
% 15.21/10.43 ((v117(constB101) | v122(constB101)) | (~v122(constB101))),
% 15.21/10.43 inference(tautology,[status(thm)],[])).
% 15.21/10.43 tff(16637,plain,
% 15.21/10.43 (v117(constB101) | v122(constB101)),
% 15.21/10.43 inference(unit_resolution,[status(thm)],[16636, 16635])).
% 15.21/10.43 tff(16638,plain,
% 15.21/10.43 ((~(v116(constB101) <=> (v117(constB101) | v122(constB101)))) | v116(constB101) | (~(v117(constB101) | v122(constB101)))),
% 15.21/10.43 inference(tautology,[status(thm)],[])).
% 15.21/10.43 tff(16639,plain,
% 15.21/10.43 (v116(constB101)),
% 15.21/10.43 inference(unit_resolution,[status(thm)],[16638, 16637, 15831])).
% 15.21/10.43 tff(16640,plain,
% 15.21/10.43 ((v116(constB101) | v123(constB101)) | (~v116(constB101))),
% 15.21/10.43 inference(tautology,[status(thm)],[])).
% 15.21/10.43 tff(16641,plain,
% 15.21/10.43 (v116(constB101) | v123(constB101)),
% 15.21/10.43 inference(unit_resolution,[status(thm)],[16640, 16639])).
% 15.21/10.43 tff(16642,plain,
% 15.21/10.43 ((~(v115(constB101) <=> (v116(constB101) | v123(constB101)))) | v115(constB101) | (~(v116(constB101) | v123(constB101)))),
% 15.21/10.43 inference(tautology,[status(thm)],[])).
% 15.21/10.43 tff(16643,plain,
% 15.21/10.43 (v115(constB101)),
% 15.21/10.43 inference(unit_resolution,[status(thm)],[16642, 16641, 15829])).
% 15.21/10.43 tff(16644,plain,
% 15.21/10.43 ((v115(constB101) | v124(constB101)) | (~v115(constB101))),
% 15.21/10.43 inference(tautology,[status(thm)],[])).
% 15.21/10.43 tff(16645,plain,
% 15.21/10.43 (v115(constB101) | v124(constB101)),
% 15.21/10.43 inference(unit_resolution,[status(thm)],[16644, 16643])).
% 15.21/10.43 tff(16646,plain,
% 15.21/10.43 ((~(v114(constB101) <=> (v115(constB101) | v124(constB101)))) | v114(constB101) | (~(v115(constB101) | v124(constB101)))),
% 15.21/10.43 inference(tautology,[status(thm)],[])).
% 15.21/10.43 tff(16647,plain,
% 15.21/10.43 (v114(constB101)),
% 15.21/10.43 inference(unit_resolution,[status(thm)],[16646, 16645, 15827])).
% 15.21/10.43 tff(16648,plain,
% 15.21/10.43 ((v114(constB101) | v125(constB101)) | (~v114(constB101))),
% 15.21/10.43 inference(tautology,[status(thm)],[])).
% 15.21/10.43 tff(16649,plain,
% 15.21/10.43 (v114(constB101) | v125(constB101)),
% 15.21/10.43 inference(unit_resolution,[status(thm)],[16648, 16647])).
% 15.21/10.43 tff(16650,plain,
% 15.21/10.43 ((~(v113(constB101) <=> (v114(constB101) | v125(constB101)))) | v113(constB101) | (~(v114(constB101) | v125(constB101)))),
% 15.21/10.43 inference(tautology,[status(thm)],[])).
% 15.21/10.43 tff(16651,plain,
% 15.21/10.43 (v113(constB101)),
% 15.21/10.43 inference(unit_resolution,[status(thm)],[16650, 16649, 15825])).
% 15.21/10.43 tff(16652,plain,
% 15.21/10.43 ((~![VarCurr: $i] : ((~v126(VarCurr)) <=> v111(VarCurr))) | ((~v126(constB101)) <=> v111(constB101))),
% 15.21/10.43 inference(quant_inst,[status(thm)],[])).
% 15.21/10.43 tff(16653,plain,
% 15.21/10.43 ((~v126(constB101)) <=> v111(constB101)),
% 15.21/10.43 inference(unit_resolution,[status(thm)],[16652, 5074])).
% 15.21/10.43 tff(16654,plain,
% 15.21/10.43 ((~![VarCurr: $i] : (v111(VarCurr) <=> v26(VarCurr))) | (v111(constB101) <=> v26(constB101))),
% 15.21/10.43 inference(quant_inst,[status(thm)],[])).
% 15.21/10.43 tff(16655,plain,
% 15.21/10.43 (v111(constB101) <=> v26(constB101)),
% 15.21/10.43 inference(unit_resolution,[status(thm)],[16654, 5086])).
% 15.21/10.43 tff(16656,plain,
% 15.21/10.43 ((~![VarCurr: $i] : (~v26(VarCurr))) | (~v26(constB101))),
% 15.21/10.43 inference(quant_inst,[status(thm)],[])).
% 15.21/10.43 tff(16657,plain,
% 15.21/10.43 (~v26(constB101)),
% 15.21/10.43 inference(unit_resolution,[status(thm)],[16656, 5098])).
% 15.21/10.43 tff(16658,plain,
% 15.21/10.43 ((~(v111(constB101) <=> v26(constB101))) | (~v111(constB101)) | v26(constB101)),
% 15.21/10.43 inference(tautology,[status(thm)],[])).
% 15.21/10.43 tff(16659,plain,
% 15.21/10.43 ((~(v111(constB101) <=> v26(constB101))) | (~v111(constB101))),
% 15.21/10.43 inference(unit_resolution,[status(thm)],[16658, 16657])).
% 15.21/10.43 tff(16660,plain,
% 15.21/10.43 (~v111(constB101)),
% 15.21/10.43 inference(unit_resolution,[status(thm)],[16659, 16655])).
% 15.21/10.43 tff(16661,plain,
% 15.21/10.43 ((~((~v126(constB101)) <=> v111(constB101))) | v126(constB101) | v111(constB101)),
% 15.21/10.43 inference(tautology,[status(thm)],[])).
% 15.21/10.43 tff(16662,plain,
% 15.21/10.43 ((~((~v126(constB101)) <=> v111(constB101))) | v126(constB101)),
% 15.21/10.43 inference(unit_resolution,[status(thm)],[16661, 16660])).
% 15.21/10.43 tff(16663,plain,
% 15.21/10.43 (v126(constB101)),
% 15.21/10.43 inference(unit_resolution,[status(thm)],[16662, 16653])).
% 15.21/10.43 tff(16664,plain,
% 15.21/10.43 ((~((~v113(constB101)) | (~v126(constB101)))) | (~v113(constB101)) | (~v126(constB101))),
% 15.21/10.43 inference(tautology,[status(thm)],[])).
% 15.21/10.43 tff(16665,plain,
% 15.21/10.43 ((~((~v113(constB101)) | (~v126(constB101)))) | (~v113(constB101))),
% 15.21/10.43 inference(unit_resolution,[status(thm)],[16664, 16663])).
% 15.21/10.43 tff(16666,plain,
% 15.21/10.43 (~((~v113(constB101)) | (~v126(constB101)))),
% 15.21/10.43 inference(unit_resolution,[status(thm)],[16665, 16651])).
% 15.21/10.43 tff(16667,plain,
% 15.21/10.43 ((~(v112(constB101) <=> (~((~v113(constB101)) | (~v126(constB101)))))) | v112(constB101) | ((~v113(constB101)) | (~v126(constB101)))),
% 15.21/10.43 inference(tautology,[status(thm)],[])).
% 15.21/10.43 tff(16668,plain,
% 15.21/10.43 (v112(constB101)),
% 15.21/10.43 inference(unit_resolution,[status(thm)],[16667, 16666, 15823])).
% 15.21/10.43 tff(16669,plain,
% 15.21/10.43 ((v111(constB101) | v112(constB101)) | (~v112(constB101))),
% 15.21/10.43 inference(tautology,[status(thm)],[])).
% 15.21/10.43 tff(16670,plain,
% 15.21/10.43 (v111(constB101) | v112(constB101)),
% 15.21/10.43 inference(unit_resolution,[status(thm)],[16669, 16668])).
% 15.21/10.43 tff(16671,plain,
% 15.21/10.43 ((~(v108(constB101) <=> (v111(constB101) | v112(constB101)))) | v108(constB101) | (~(v111(constB101) | v112(constB101)))),
% 15.21/10.43 inference(tautology,[status(thm)],[])).
% 15.21/10.43 tff(16672,plain,
% 15.21/10.43 (v108(constB101)),
% 15.21/10.43 inference(unit_resolution,[status(thm)],[16671, 16670, 15821])).
% 15.21/10.43 tff(16673,plain,
% 15.21/10.43 ((~(v110(constB102) <=> v108(constB101))) | v110(constB102) | (~v108(constB101))),
% 15.21/10.43 inference(tautology,[status(thm)],[])).
% 15.21/10.43 tff(16674,plain,
% 15.21/10.43 (v110(constB102)),
% 15.21/10.43 inference(unit_resolution,[status(thm)],[16673, 16672, 15819])).
% 15.21/10.43 tff(16675,plain,
% 15.21/10.43 ((~((~v101(constB102)) | (~v110(constB102)))) | (~v101(constB102)) | (~v110(constB102))),
% 15.21/10.43 inference(tautology,[status(thm)],[])).
% 15.21/10.43 tff(16676,plain,
% 15.21/10.43 (~((~v101(constB102)) | (~v110(constB102)))),
% 15.21/10.43 inference(unit_resolution,[status(thm)],[16675, 16674, 15815])).
% 15.21/10.43 tff(16677,plain,
% 15.21/10.43 ((~(v100(constB102) <=> (~((~v101(constB102)) | (~v110(constB102)))))) | v100(constB102) | ((~v101(constB102)) | (~v110(constB102)))),
% 15.21/10.43 inference(tautology,[status(thm)],[])).
% 15.21/10.43 tff(16678,plain,
% 15.21/10.43 (v100(constB102)),
% 15.21/10.43 inference(unit_resolution,[status(thm)],[16677, 16676, 15784])).
% 15.21/10.43 tff(16679,plain,
% 15.21/10.43 (((~![VarNext: $i] : ((~v100(VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v129(VarNext, B))))) | ((~v100(constB102)) | ![B: $i] : ((~less_3(B)) | (v90(constB102, B) <=> v129(constB102, B))))) <=> ((~![VarNext: $i] : ((~v100(VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v129(VarNext, B))))) | (~v100(constB102)) | ![B: $i] : ((~less_3(B)) | (v90(constB102, B) <=> v129(constB102, B))))),
% 15.21/10.43 inference(rewrite,[status(thm)],[])).
% 15.21/10.43 tff(16680,plain,
% 15.21/10.43 ((~![VarNext: $i] : ((~v100(VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v129(VarNext, B))))) | ((~v100(constB102)) | ![B: $i] : ((~less_3(B)) | (v90(constB102, B) <=> v129(constB102, B))))),
% 15.21/10.43 inference(quant_inst,[status(thm)],[])).
% 15.21/10.43 tff(16681,plain,
% 15.21/10.43 ((~![VarNext: $i] : ((~v100(VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v129(VarNext, B))))) | (~v100(constB102)) | ![B: $i] : ((~less_3(B)) | (v90(constB102, B) <=> v129(constB102, B)))),
% 15.21/10.43 inference(modus_ponens,[status(thm)],[16680, 16679])).
% 15.21/10.43 tff(16682,plain,
% 15.21/10.43 ((~v100(constB102)) | ![B: $i] : ((~less_3(B)) | (v90(constB102, B) <=> v129(constB102, B)))),
% 15.21/10.43 inference(unit_resolution,[status(thm)],[16681, 5134])).
% 15.21/10.43 tff(16683,plain,
% 15.21/10.43 (![B: $i] : ((~less_3(B)) | (v90(constB102, B) <=> v129(constB102, B)))),
% 15.21/10.43 inference(unit_resolution,[status(thm)],[16682, 16678])).
% 15.21/10.43 tff(16684,plain,
% 15.21/10.43 (((~![B: $i] : ((~less_3(B)) | (v90(constB102, B) <=> v129(constB102, B)))) | ((~less_3(bitIndex2)) | (v90(constB102, bitIndex2) <=> v129(constB102, bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v90(constB102, B) <=> v129(constB102, B)))) | (~less_3(bitIndex2)) | (v90(constB102, bitIndex2) <=> v129(constB102, bitIndex2)))),
% 15.21/10.43 inference(rewrite,[status(thm)],[])).
% 15.21/10.43 tff(16685,plain,
% 15.21/10.43 ((~![B: $i] : ((~less_3(B)) | (v90(constB102, B) <=> v129(constB102, B)))) | ((~less_3(bitIndex2)) | (v90(constB102, bitIndex2) <=> v129(constB102, bitIndex2)))),
% 15.21/10.43 inference(quant_inst,[status(thm)],[])).
% 15.21/10.43 tff(16686,plain,
% 15.21/10.43 ((~![B: $i] : ((~less_3(B)) | (v90(constB102, B) <=> v129(constB102, B)))) | (~less_3(bitIndex2)) | (v90(constB102, bitIndex2) <=> v129(constB102, bitIndex2))),
% 15.21/10.43 inference(modus_ponens,[status(thm)],[16685, 16684])).
% 15.21/10.43 tff(16687,plain,
% 15.21/10.43 (v90(constB102, bitIndex2) <=> v129(constB102, bitIndex2)),
% 15.21/10.43 inference(unit_resolution,[status(thm)],[16686, 413, 16683])).
% 15.21/10.43 tff(16688,plain,
% 15.21/10.43 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v129(VarNext, B) <=> v127(VarCurr, B))))) | ((~nextState(constB101, constB102)) | ![B: $i] : ((~less_3(B)) | (v129(constB102, B) <=> v127(constB101, B))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v129(VarNext, B) <=> v127(VarCurr, B))))) | (~nextState(constB101, constB102)) | ![B: $i] : ((~less_3(B)) | (v129(constB102, B) <=> v127(constB101, B))))),
% 15.21/10.43 inference(rewrite,[status(thm)],[])).
% 15.21/10.43 tff(16689,plain,
% 15.21/10.43 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v129(VarNext, B) <=> v127(VarCurr, B))))) | ((~nextState(constB101, constB102)) | ![B: $i] : ((~less_3(B)) | (v129(constB102, B) <=> v127(constB101, B))))),
% 15.21/10.43 inference(quant_inst,[status(thm)],[])).
% 15.21/10.43 tff(16690,plain,
% 15.21/10.43 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v129(VarNext, B) <=> v127(VarCurr, B))))) | (~nextState(constB101, constB102)) | ![B: $i] : ((~less_3(B)) | (v129(constB102, B) <=> v127(constB101, B)))),
% 15.21/10.43 inference(modus_ponens,[status(thm)],[16689, 16688])).
% 15.21/10.43 tff(16691,plain,
% 15.21/10.43 (![B: $i] : ((~less_3(B)) | (v129(constB102, B) <=> v127(constB101, B)))),
% 15.21/10.43 inference(unit_resolution,[status(thm)],[16690, 15780, 5156])).
% 15.21/10.43 tff(16692,plain,
% 15.21/10.43 (((~![B: $i] : ((~less_3(B)) | (v129(constB102, B) <=> v127(constB101, B)))) | ((~less_3(bitIndex2)) | (v129(constB102, bitIndex2) <=> v127(constB101, bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v129(constB102, B) <=> v127(constB101, B)))) | (~less_3(bitIndex2)) | (v129(constB102, bitIndex2) <=> v127(constB101, bitIndex2)))),
% 15.21/10.43 inference(rewrite,[status(thm)],[])).
% 15.21/10.43 tff(16693,plain,
% 15.21/10.43 ((~![B: $i] : ((~less_3(B)) | (v129(constB102, B) <=> v127(constB101, B)))) | ((~less_3(bitIndex2)) | (v129(constB102, bitIndex2) <=> v127(constB101, bitIndex2)))),
% 15.21/10.43 inference(quant_inst,[status(thm)],[])).
% 15.21/10.43 tff(16694,plain,
% 15.21/10.43 ((~![B: $i] : ((~less_3(B)) | (v129(constB102, B) <=> v127(constB101, B)))) | (~less_3(bitIndex2)) | (v129(constB102, bitIndex2) <=> v127(constB101, bitIndex2))),
% 15.21/10.43 inference(modus_ponens,[status(thm)],[16693, 16692])).
% 15.21/10.43 tff(16695,plain,
% 15.21/10.43 (v129(constB102, bitIndex2) <=> v127(constB101, bitIndex2)),
% 15.21/10.43 inference(unit_resolution,[status(thm)],[16694, 413, 16691])).
% 15.21/10.43 tff(16696,plain,
% 15.21/10.43 (((~![VarCurr: $i] : (v111(VarCurr) | ![B: $i] : ((~less_3(B)) | (v127(VarCurr, B) <=> v130(VarCurr, B))))) | (v111(constB101) | ![B: $i] : ((~less_3(B)) | (v127(constB101, B) <=> v130(constB101, B))))) <=> ((~![VarCurr: $i] : (v111(VarCurr) | ![B: $i] : ((~less_3(B)) | (v127(VarCurr, B) <=> v130(VarCurr, B))))) | v111(constB101) | ![B: $i] : ((~less_3(B)) | (v127(constB101, B) <=> v130(constB101, B))))),
% 15.21/10.43 inference(rewrite,[status(thm)],[])).
% 15.21/10.43 tff(16697,plain,
% 15.21/10.43 ((~![VarCurr: $i] : (v111(VarCurr) | ![B: $i] : ((~less_3(B)) | (v127(VarCurr, B) <=> v130(VarCurr, B))))) | (v111(constB101) | ![B: $i] : ((~less_3(B)) | (v127(constB101, B) <=> v130(constB101, B))))),
% 15.21/10.43 inference(quant_inst,[status(thm)],[])).
% 15.21/10.43 tff(16698,plain,
% 15.21/10.43 ((~![VarCurr: $i] : (v111(VarCurr) | ![B: $i] : ((~less_3(B)) | (v127(VarCurr, B) <=> v130(VarCurr, B))))) | v111(constB101) | ![B: $i] : ((~less_3(B)) | (v127(constB101, B) <=> v130(constB101, B)))),
% 15.21/10.43 inference(modus_ponens,[status(thm)],[16697, 16696])).
% 15.21/10.43 tff(16699,plain,
% 15.21/10.43 (![B: $i] : ((~less_3(B)) | (v127(constB101, B) <=> v130(constB101, B)))),
% 15.21/10.43 inference(unit_resolution,[status(thm)],[16698, 5177, 16660])).
% 15.21/10.43 tff(16700,plain,
% 15.21/10.43 (((~![B: $i] : ((~less_3(B)) | (v127(constB101, B) <=> v130(constB101, B)))) | ((~less_3(bitIndex2)) | (v127(constB101, bitIndex2) <=> v130(constB101, bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v127(constB101, B) <=> v130(constB101, B)))) | (~less_3(bitIndex2)) | (v127(constB101, bitIndex2) <=> v130(constB101, bitIndex2)))),
% 15.21/10.43 inference(rewrite,[status(thm)],[])).
% 15.21/10.43 tff(16701,plain,
% 15.21/10.43 ((~![B: $i] : ((~less_3(B)) | (v127(constB101, B) <=> v130(constB101, B)))) | ((~less_3(bitIndex2)) | (v127(constB101, bitIndex2) <=> v130(constB101, bitIndex2)))),
% 15.21/10.43 inference(quant_inst,[status(thm)],[])).
% 15.21/10.43 tff(16702,plain,
% 15.21/10.43 ((~![B: $i] : ((~less_3(B)) | (v127(constB101, B) <=> v130(constB101, B)))) | (~less_3(bitIndex2)) | (v127(constB101, bitIndex2) <=> v130(constB101, bitIndex2))),
% 15.21/10.43 inference(modus_ponens,[status(thm)],[16701, 16700])).
% 15.21/10.43 tff(16703,plain,
% 15.21/10.43 (v127(constB101, bitIndex2) <=> v130(constB101, bitIndex2)),
% 15.21/10.43 inference(unit_resolution,[status(thm)],[16702, 413, 16699])).
% 15.21/10.43 tff(16704,plain,
% 15.21/10.43 (((~![VarCurr: $i] : ((~v122(VarCurr)) | ![B: $i] : ((~less_3(B)) | (v130(VarCurr, B) <=> b100(B))))) | ((~v122(constB101)) | ![B: $i] : ((~less_3(B)) | (v130(constB101, B) <=> b100(B))))) <=> ((~![VarCurr: $i] : ((~v122(VarCurr)) | ![B: $i] : ((~less_3(B)) | (v130(VarCurr, B) <=> b100(B))))) | (~v122(constB101)) | ![B: $i] : ((~less_3(B)) | (v130(constB101, B) <=> b100(B))))),
% 15.21/10.43 inference(rewrite,[status(thm)],[])).
% 15.21/10.43 tff(16705,plain,
% 15.21/10.43 ((~![VarCurr: $i] : ((~v122(VarCurr)) | ![B: $i] : ((~less_3(B)) | (v130(VarCurr, B) <=> b100(B))))) | ((~v122(constB101)) | ![B: $i] : ((~less_3(B)) | (v130(constB101, B) <=> b100(B))))),
% 15.21/10.43 inference(quant_inst,[status(thm)],[])).
% 15.21/10.43 tff(16706,plain,
% 15.21/10.43 ((~![VarCurr: $i] : ((~v122(VarCurr)) | ![B: $i] : ((~less_3(B)) | (v130(VarCurr, B) <=> b100(B))))) | (~v122(constB101)) | ![B: $i] : ((~less_3(B)) | (v130(constB101, B) <=> b100(B)))),
% 15.21/10.43 inference(modus_ponens,[status(thm)],[16705, 16704])).
% 15.21/10.43 tff(16707,plain,
% 15.21/10.43 ((~v122(constB101)) | ![B: $i] : ((~less_3(B)) | (v130(constB101, B) <=> b100(B)))),
% 15.21/10.43 inference(unit_resolution,[status(thm)],[16706, 6153])).
% 15.21/10.43 tff(16708,plain,
% 15.21/10.43 (![B: $i] : ((~less_3(B)) | (v130(constB101, B) <=> b100(B)))),
% 15.21/10.43 inference(unit_resolution,[status(thm)],[16707, 16635])).
% 15.21/10.43 tff(16709,plain,
% 15.21/10.43 (((~![B: $i] : ((~less_3(B)) | (v130(constB101, B) <=> b100(B)))) | ((~less_3(bitIndex2)) | (v130(constB101, bitIndex2) <=> b100(bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v130(constB101, B) <=> b100(B)))) | (~less_3(bitIndex2)) | (v130(constB101, bitIndex2) <=> b100(bitIndex2)))),
% 15.21/10.43 inference(rewrite,[status(thm)],[])).
% 15.21/10.43 tff(16710,plain,
% 15.21/10.43 ((~![B: $i] : ((~less_3(B)) | (v130(constB101, B) <=> b100(B)))) | ((~less_3(bitIndex2)) | (v130(constB101, bitIndex2) <=> b100(bitIndex2)))),
% 15.21/10.43 inference(quant_inst,[status(thm)],[])).
% 15.21/10.43 tff(16711,plain,
% 15.21/10.43 ((~![B: $i] : ((~less_3(B)) | (v130(constB101, B) <=> b100(B)))) | (~less_3(bitIndex2)) | (v130(constB101, bitIndex2) <=> b100(bitIndex2))),
% 15.21/10.43 inference(modus_ponens,[status(thm)],[16710, 16709])).
% 15.21/10.43 tff(16712,plain,
% 15.21/10.43 (v130(constB101, bitIndex2) <=> b100(bitIndex2)),
% 15.21/10.43 inference(unit_resolution,[status(thm)],[16711, 413, 16708])).
% 15.21/10.43 tff(16713,plain,
% 15.21/10.43 ((~(v130(constB101, bitIndex2) <=> b100(bitIndex2))) | v130(constB101, bitIndex2) | (~b100(bitIndex2))),
% 15.21/10.43 inference(tautology,[status(thm)],[])).
% 15.21/10.43 tff(16714,plain,
% 15.21/10.43 ((~(v130(constB101, bitIndex2) <=> b100(bitIndex2))) | v130(constB101, bitIndex2)),
% 15.21/10.43 inference(unit_resolution,[status(thm)],[16713, 5209])).
% 15.21/10.43 tff(16715,plain,
% 15.21/10.43 (v130(constB101, bitIndex2)),
% 15.21/10.43 inference(unit_resolution,[status(thm)],[16714, 16712])).
% 15.21/10.43 tff(16716,plain,
% 15.21/10.43 ((~(v127(constB101, bitIndex2) <=> v130(constB101, bitIndex2))) | v127(constB101, bitIndex2) | (~v130(constB101, bitIndex2))),
% 15.21/10.43 inference(tautology,[status(thm)],[])).
% 15.21/10.43 tff(16717,plain,
% 15.21/10.43 (v127(constB101, bitIndex2)),
% 15.21/10.43 inference(unit_resolution,[status(thm)],[16716, 16715, 16703])).
% 15.21/10.43 tff(16718,plain,
% 15.21/10.43 ((~(v129(constB102, bitIndex2) <=> v127(constB101, bitIndex2))) | v129(constB102, bitIndex2) | (~v127(constB101, bitIndex2))),
% 15.21/10.43 inference(tautology,[status(thm)],[])).
% 15.21/10.43 tff(16719,plain,
% 15.21/10.43 (v129(constB102, bitIndex2)),
% 15.21/10.43 inference(unit_resolution,[status(thm)],[16718, 16717, 16695])).
% 15.21/10.43 tff(16720,plain,
% 15.21/10.43 ((~(v90(constB102, bitIndex2) <=> v129(constB102, bitIndex2))) | v90(constB102, bitIndex2) | (~v129(constB102, bitIndex2))),
% 15.21/10.43 inference(tautology,[status(thm)],[])).
% 15.21/10.43 tff(16721,plain,
% 15.21/10.43 (v90(constB102, bitIndex2)),
% 15.21/10.43 inference(unit_resolution,[status(thm)],[16720, 16719, 16687])).
% 15.21/10.43 tff(16722,plain,
% 15.21/10.43 ((~(v90(constB103, bitIndex2) <=> v90(constB102, bitIndex2))) | v90(constB103, bitIndex2) | (~v90(constB102, bitIndex2))),
% 15.21/10.43 inference(tautology,[status(thm)],[])).
% 15.21/10.43 tff(16723,plain,
% 15.21/10.43 (v90(constB103, bitIndex2)),
% 15.21/10.43 inference(unit_resolution,[status(thm)],[16722, 16721, 15777])).
% 15.21/10.43 tff(16724,plain,
% 15.21/10.43 (((~![B: $i] : ((~less_3(B)) | (v90(constB103, B) <=> v90(constB102, B)))) | ((~less_3(bitIndex0)) | (v90(constB103, bitIndex0) <=> v90(constB102, bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v90(constB103, B) <=> v90(constB102, B)))) | (~less_3(bitIndex0)) | (v90(constB103, bitIndex0) <=> v90(constB102, bitIndex0)))),
% 15.21/10.43 inference(rewrite,[status(thm)],[])).
% 15.21/10.43 tff(16725,plain,
% 15.21/10.43 ((~![B: $i] : ((~less_3(B)) | (v90(constB103, B) <=> v90(constB102, B)))) | ((~less_3(bitIndex0)) | (v90(constB103, bitIndex0) <=> v90(constB102, bitIndex0)))),
% 15.21/10.43 inference(quant_inst,[status(thm)],[])).
% 15.21/10.43 tff(16726,plain,
% 15.21/10.43 ((~![B: $i] : ((~less_3(B)) | (v90(constB103, B) <=> v90(constB102, B)))) | (~less_3(bitIndex0)) | (v90(constB103, bitIndex0) <=> v90(constB102, bitIndex0))),
% 15.21/10.43 inference(modus_ponens,[status(thm)],[16725, 16724])).
% 15.21/10.43 tff(16727,plain,
% 15.21/10.43 (v90(constB103, bitIndex0) <=> v90(constB102, bitIndex0)),
% 15.21/10.43 inference(unit_resolution,[status(thm)],[16726, 5004, 15773])).
% 15.21/10.43 tff(16728,plain,
% 15.21/10.43 (((~![B: $i] : ((~less_3(B)) | (v90(constB102, B) <=> v129(constB102, B)))) | ((~less_3(bitIndex0)) | (v90(constB102, bitIndex0) <=> v129(constB102, bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v90(constB102, B) <=> v129(constB102, B)))) | (~less_3(bitIndex0)) | (v90(constB102, bitIndex0) <=> v129(constB102, bitIndex0)))),
% 15.21/10.43 inference(rewrite,[status(thm)],[])).
% 15.21/10.43 tff(16729,plain,
% 15.21/10.43 ((~![B: $i] : ((~less_3(B)) | (v90(constB102, B) <=> v129(constB102, B)))) | ((~less_3(bitIndex0)) | (v90(constB102, bitIndex0) <=> v129(constB102, bitIndex0)))),
% 15.21/10.43 inference(quant_inst,[status(thm)],[])).
% 15.21/10.43 tff(16730,plain,
% 15.21/10.43 ((~![B: $i] : ((~less_3(B)) | (v90(constB102, B) <=> v129(constB102, B)))) | (~less_3(bitIndex0)) | (v90(constB102, bitIndex0) <=> v129(constB102, bitIndex0))),
% 15.21/10.44 inference(modus_ponens,[status(thm)],[16729, 16728])).
% 15.21/10.44 tff(16731,plain,
% 15.21/10.44 (v90(constB102, bitIndex0) <=> v129(constB102, bitIndex0)),
% 15.21/10.44 inference(unit_resolution,[status(thm)],[16730, 5004, 16683])).
% 15.21/10.44 tff(16732,plain,
% 15.21/10.44 (((~![B: $i] : ((~less_3(B)) | (v129(constB102, B) <=> v127(constB101, B)))) | ((~less_3(bitIndex0)) | (v129(constB102, bitIndex0) <=> v127(constB101, bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v129(constB102, B) <=> v127(constB101, B)))) | (~less_3(bitIndex0)) | (v129(constB102, bitIndex0) <=> v127(constB101, bitIndex0)))),
% 15.21/10.44 inference(rewrite,[status(thm)],[])).
% 15.21/10.44 tff(16733,plain,
% 15.21/10.44 ((~![B: $i] : ((~less_3(B)) | (v129(constB102, B) <=> v127(constB101, B)))) | ((~less_3(bitIndex0)) | (v129(constB102, bitIndex0) <=> v127(constB101, bitIndex0)))),
% 15.21/10.44 inference(quant_inst,[status(thm)],[])).
% 15.21/10.44 tff(16734,plain,
% 15.21/10.44 ((~![B: $i] : ((~less_3(B)) | (v129(constB102, B) <=> v127(constB101, B)))) | (~less_3(bitIndex0)) | (v129(constB102, bitIndex0) <=> v127(constB101, bitIndex0))),
% 15.21/10.44 inference(modus_ponens,[status(thm)],[16733, 16732])).
% 15.21/10.44 tff(16735,plain,
% 15.21/10.44 (v129(constB102, bitIndex0) <=> v127(constB101, bitIndex0)),
% 15.21/10.44 inference(unit_resolution,[status(thm)],[16734, 5004, 16691])).
% 15.21/10.44 tff(16736,plain,
% 15.21/10.44 (((~![B: $i] : ((~less_3(B)) | (v127(constB101, B) <=> v130(constB101, B)))) | ((~less_3(bitIndex0)) | (v127(constB101, bitIndex0) <=> v130(constB101, bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v127(constB101, B) <=> v130(constB101, B)))) | (~less_3(bitIndex0)) | (v127(constB101, bitIndex0) <=> v130(constB101, bitIndex0)))),
% 15.21/10.44 inference(rewrite,[status(thm)],[])).
% 15.21/10.44 tff(16737,plain,
% 15.21/10.44 ((~![B: $i] : ((~less_3(B)) | (v127(constB101, B) <=> v130(constB101, B)))) | ((~less_3(bitIndex0)) | (v127(constB101, bitIndex0) <=> v130(constB101, bitIndex0)))),
% 15.21/10.44 inference(quant_inst,[status(thm)],[])).
% 15.21/10.44 tff(16738,plain,
% 15.21/10.44 ((~![B: $i] : ((~less_3(B)) | (v127(constB101, B) <=> v130(constB101, B)))) | (~less_3(bitIndex0)) | (v127(constB101, bitIndex0) <=> v130(constB101, bitIndex0))),
% 15.21/10.44 inference(modus_ponens,[status(thm)],[16737, 16736])).
% 15.21/10.44 tff(16739,plain,
% 15.21/10.44 (v127(constB101, bitIndex0) <=> v130(constB101, bitIndex0)),
% 15.21/10.44 inference(unit_resolution,[status(thm)],[16738, 5004, 16699])).
% 15.21/10.44 tff(16740,plain,
% 15.21/10.44 (((~![B: $i] : ((~less_3(B)) | (v130(constB101, B) <=> b100(B)))) | ((~less_3(bitIndex0)) | (v130(constB101, bitIndex0) <=> b100(bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v130(constB101, B) <=> b100(B)))) | (~less_3(bitIndex0)) | (v130(constB101, bitIndex0) <=> b100(bitIndex0)))),
% 15.21/10.44 inference(rewrite,[status(thm)],[])).
% 15.21/10.44 tff(16741,plain,
% 15.21/10.44 ((~![B: $i] : ((~less_3(B)) | (v130(constB101, B) <=> b100(B)))) | ((~less_3(bitIndex0)) | (v130(constB101, bitIndex0) <=> b100(bitIndex0)))),
% 15.21/10.44 inference(quant_inst,[status(thm)],[])).
% 15.21/10.44 tff(16742,plain,
% 15.21/10.44 ((~![B: $i] : ((~less_3(B)) | (v130(constB101, B) <=> b100(B)))) | (~less_3(bitIndex0)) | (v130(constB101, bitIndex0) <=> b100(bitIndex0))),
% 15.21/10.44 inference(modus_ponens,[status(thm)],[16741, 16740])).
% 15.21/10.44 tff(16743,plain,
% 15.21/10.44 (v130(constB101, bitIndex0) <=> b100(bitIndex0)),
% 15.21/10.44 inference(unit_resolution,[status(thm)],[16742, 5004, 16708])).
% 15.21/10.44 tff(16744,plain,
% 15.21/10.44 ((~(v130(constB101, bitIndex0) <=> b100(bitIndex0))) | (~v130(constB101, bitIndex0)) | b100(bitIndex0)),
% 15.21/10.44 inference(tautology,[status(thm)],[])).
% 15.21/10.44 tff(16745,plain,
% 15.21/10.44 ((~(v130(constB101, bitIndex0) <=> b100(bitIndex0))) | (~v130(constB101, bitIndex0))),
% 15.21/10.44 inference(unit_resolution,[status(thm)],[16744, 5243])).
% 15.21/10.44 tff(16746,plain,
% 15.21/10.44 (~v130(constB101, bitIndex0)),
% 15.21/10.44 inference(unit_resolution,[status(thm)],[16745, 16743])).
% 15.21/10.44 tff(16747,plain,
% 15.21/10.44 ((~(v127(constB101, bitIndex0) <=> v130(constB101, bitIndex0))) | (~v127(constB101, bitIndex0)) | v130(constB101, bitIndex0)),
% 15.21/10.44 inference(tautology,[status(thm)],[])).
% 15.21/10.44 tff(16748,plain,
% 15.21/10.44 (~v127(constB101, bitIndex0)),
% 15.21/10.44 inference(unit_resolution,[status(thm)],[16747, 16746, 16739])).
% 15.21/10.44 tff(16749,plain,
% 15.21/10.44 ((~(v129(constB102, bitIndex0) <=> v127(constB101, bitIndex0))) | (~v129(constB102, bitIndex0)) | v127(constB101, bitIndex0)),
% 15.21/10.44 inference(tautology,[status(thm)],[])).
% 15.21/10.44 tff(16750,plain,
% 15.21/10.44 (~v129(constB102, bitIndex0)),
% 15.21/10.44 inference(unit_resolution,[status(thm)],[16749, 16748, 16735])).
% 15.21/10.44 tff(16751,plain,
% 15.21/10.44 ((~(v90(constB102, bitIndex0) <=> v129(constB102, bitIndex0))) | (~v90(constB102, bitIndex0)) | v129(constB102, bitIndex0)),
% 15.21/10.44 inference(tautology,[status(thm)],[])).
% 15.21/10.44 tff(16752,plain,
% 15.21/10.44 (~v90(constB102, bitIndex0)),
% 15.21/10.44 inference(unit_resolution,[status(thm)],[16751, 16750, 16731])).
% 15.21/10.44 tff(16753,plain,
% 15.21/10.44 ((~(v90(constB103, bitIndex0) <=> v90(constB102, bitIndex0))) | (~v90(constB103, bitIndex0)) | v90(constB102, bitIndex0)),
% 15.21/10.44 inference(tautology,[status(thm)],[])).
% 15.21/10.44 tff(16754,plain,
% 15.21/10.44 (~v90(constB103, bitIndex0)),
% 15.21/10.44 inference(unit_resolution,[status(thm)],[16753, 16752, 16727])).
% 15.21/10.44 tff(16755,plain,
% 15.21/10.44 (((~![B: $i] : ((~less_3(B)) | (v90(constB103, B) <=> v90(constB102, B)))) | ((~less_3(bitIndex1)) | (v90(constB103, bitIndex1) <=> v90(constB102, bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v90(constB103, B) <=> v90(constB102, B)))) | (~less_3(bitIndex1)) | (v90(constB103, bitIndex1) <=> v90(constB102, bitIndex1)))),
% 15.21/10.44 inference(rewrite,[status(thm)],[])).
% 15.21/10.44 tff(16756,plain,
% 15.21/10.44 ((~![B: $i] : ((~less_3(B)) | (v90(constB103, B) <=> v90(constB102, B)))) | ((~less_3(bitIndex1)) | (v90(constB103, bitIndex1) <=> v90(constB102, bitIndex1)))),
% 15.21/10.44 inference(quant_inst,[status(thm)],[])).
% 15.21/10.44 tff(16757,plain,
% 15.21/10.44 ((~![B: $i] : ((~less_3(B)) | (v90(constB103, B) <=> v90(constB102, B)))) | (~less_3(bitIndex1)) | (v90(constB103, bitIndex1) <=> v90(constB102, bitIndex1))),
% 15.21/10.44 inference(modus_ponens,[status(thm)],[16756, 16755])).
% 15.21/10.44 tff(16758,plain,
% 15.21/10.44 (v90(constB103, bitIndex1) <=> v90(constB102, bitIndex1)),
% 15.21/10.44 inference(unit_resolution,[status(thm)],[16757, 5017, 15773])).
% 15.21/10.44 tff(16759,plain,
% 15.21/10.44 (((~![B: $i] : ((~less_3(B)) | (v90(constB102, B) <=> v129(constB102, B)))) | ((~less_3(bitIndex1)) | (v90(constB102, bitIndex1) <=> v129(constB102, bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v90(constB102, B) <=> v129(constB102, B)))) | (~less_3(bitIndex1)) | (v90(constB102, bitIndex1) <=> v129(constB102, bitIndex1)))),
% 15.21/10.44 inference(rewrite,[status(thm)],[])).
% 15.21/10.44 tff(16760,plain,
% 15.21/10.44 ((~![B: $i] : ((~less_3(B)) | (v90(constB102, B) <=> v129(constB102, B)))) | ((~less_3(bitIndex1)) | (v90(constB102, bitIndex1) <=> v129(constB102, bitIndex1)))),
% 15.21/10.44 inference(quant_inst,[status(thm)],[])).
% 15.21/10.44 tff(16761,plain,
% 15.21/10.44 ((~![B: $i] : ((~less_3(B)) | (v90(constB102, B) <=> v129(constB102, B)))) | (~less_3(bitIndex1)) | (v90(constB102, bitIndex1) <=> v129(constB102, bitIndex1))),
% 15.21/10.44 inference(modus_ponens,[status(thm)],[16760, 16759])).
% 15.21/10.44 tff(16762,plain,
% 15.21/10.44 (v90(constB102, bitIndex1) <=> v129(constB102, bitIndex1)),
% 15.21/10.44 inference(unit_resolution,[status(thm)],[16761, 5017, 16683])).
% 15.21/10.44 tff(16763,plain,
% 15.21/10.44 (((~![B: $i] : ((~less_3(B)) | (v129(constB102, B) <=> v127(constB101, B)))) | ((~less_3(bitIndex1)) | (v129(constB102, bitIndex1) <=> v127(constB101, bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v129(constB102, B) <=> v127(constB101, B)))) | (~less_3(bitIndex1)) | (v129(constB102, bitIndex1) <=> v127(constB101, bitIndex1)))),
% 15.21/10.44 inference(rewrite,[status(thm)],[])).
% 15.21/10.44 tff(16764,plain,
% 15.21/10.44 ((~![B: $i] : ((~less_3(B)) | (v129(constB102, B) <=> v127(constB101, B)))) | ((~less_3(bitIndex1)) | (v129(constB102, bitIndex1) <=> v127(constB101, bitIndex1)))),
% 15.21/10.44 inference(quant_inst,[status(thm)],[])).
% 15.21/10.44 tff(16765,plain,
% 15.21/10.44 ((~![B: $i] : ((~less_3(B)) | (v129(constB102, B) <=> v127(constB101, B)))) | (~less_3(bitIndex1)) | (v129(constB102, bitIndex1) <=> v127(constB101, bitIndex1))),
% 15.21/10.44 inference(modus_ponens,[status(thm)],[16764, 16763])).
% 15.21/10.44 tff(16766,plain,
% 15.21/10.44 (v129(constB102, bitIndex1) <=> v127(constB101, bitIndex1)),
% 15.21/10.44 inference(unit_resolution,[status(thm)],[16765, 5017, 16691])).
% 15.21/10.44 tff(16767,plain,
% 15.21/10.44 (((~![B: $i] : ((~less_3(B)) | (v127(constB101, B) <=> v130(constB101, B)))) | ((~less_3(bitIndex1)) | (v127(constB101, bitIndex1) <=> v130(constB101, bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v127(constB101, B) <=> v130(constB101, B)))) | (~less_3(bitIndex1)) | (v127(constB101, bitIndex1) <=> v130(constB101, bitIndex1)))),
% 15.21/10.44 inference(rewrite,[status(thm)],[])).
% 15.21/10.44 tff(16768,plain,
% 15.21/10.44 ((~![B: $i] : ((~less_3(B)) | (v127(constB101, B) <=> v130(constB101, B)))) | ((~less_3(bitIndex1)) | (v127(constB101, bitIndex1) <=> v130(constB101, bitIndex1)))),
% 15.21/10.44 inference(quant_inst,[status(thm)],[])).
% 15.21/10.44 tff(16769,plain,
% 15.21/10.44 ((~![B: $i] : ((~less_3(B)) | (v127(constB101, B) <=> v130(constB101, B)))) | (~less_3(bitIndex1)) | (v127(constB101, bitIndex1) <=> v130(constB101, bitIndex1))),
% 15.21/10.44 inference(modus_ponens,[status(thm)],[16768, 16767])).
% 15.21/10.44 tff(16770,plain,
% 15.21/10.44 (v127(constB101, bitIndex1) <=> v130(constB101, bitIndex1)),
% 15.21/10.44 inference(unit_resolution,[status(thm)],[16769, 5017, 16699])).
% 15.21/10.44 tff(16771,plain,
% 15.21/10.44 (((~![B: $i] : ((~less_3(B)) | (v130(constB101, B) <=> b100(B)))) | ((~less_3(bitIndex1)) | (v130(constB101, bitIndex1) <=> b100(bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v130(constB101, B) <=> b100(B)))) | (~less_3(bitIndex1)) | (v130(constB101, bitIndex1) <=> b100(bitIndex1)))),
% 15.21/10.44 inference(rewrite,[status(thm)],[])).
% 15.21/10.44 tff(16772,plain,
% 15.21/10.44 ((~![B: $i] : ((~less_3(B)) | (v130(constB101, B) <=> b100(B)))) | ((~less_3(bitIndex1)) | (v130(constB101, bitIndex1) <=> b100(bitIndex1)))),
% 15.21/10.44 inference(quant_inst,[status(thm)],[])).
% 15.21/10.44 tff(16773,plain,
% 15.21/10.44 ((~![B: $i] : ((~less_3(B)) | (v130(constB101, B) <=> b100(B)))) | (~less_3(bitIndex1)) | (v130(constB101, bitIndex1) <=> b100(bitIndex1))),
% 15.21/10.44 inference(modus_ponens,[status(thm)],[16772, 16771])).
% 15.21/10.44 tff(16774,plain,
% 15.21/10.44 (v130(constB101, bitIndex1) <=> b100(bitIndex1)),
% 15.21/10.44 inference(unit_resolution,[status(thm)],[16773, 5017, 16708])).
% 15.21/10.44 tff(16775,plain,
% 15.21/10.44 ((~(v130(constB101, bitIndex1) <=> b100(bitIndex1))) | (~v130(constB101, bitIndex1)) | b100(bitIndex1)),
% 15.21/10.44 inference(tautology,[status(thm)],[])).
% 15.21/10.44 tff(16776,plain,
% 15.21/10.44 ((~(v130(constB101, bitIndex1) <=> b100(bitIndex1))) | (~v130(constB101, bitIndex1))),
% 15.21/10.44 inference(unit_resolution,[status(thm)],[16775, 5277])).
% 15.21/10.44 tff(16777,plain,
% 15.21/10.44 (~v130(constB101, bitIndex1)),
% 15.21/10.44 inference(unit_resolution,[status(thm)],[16776, 16774])).
% 15.21/10.44 tff(16778,plain,
% 15.21/10.44 ((~(v127(constB101, bitIndex1) <=> v130(constB101, bitIndex1))) | (~v127(constB101, bitIndex1)) | v130(constB101, bitIndex1)),
% 15.21/10.44 inference(tautology,[status(thm)],[])).
% 15.21/10.44 tff(16779,plain,
% 15.21/10.44 (~v127(constB101, bitIndex1)),
% 15.21/10.44 inference(unit_resolution,[status(thm)],[16778, 16777, 16770])).
% 15.21/10.44 tff(16780,plain,
% 15.21/10.44 ((~(v129(constB102, bitIndex1) <=> v127(constB101, bitIndex1))) | (~v129(constB102, bitIndex1)) | v127(constB101, bitIndex1)),
% 15.21/10.44 inference(tautology,[status(thm)],[])).
% 15.21/10.44 tff(16781,plain,
% 15.21/10.44 (~v129(constB102, bitIndex1)),
% 15.21/10.44 inference(unit_resolution,[status(thm)],[16780, 16779, 16766])).
% 15.21/10.44 tff(16782,plain,
% 15.21/10.44 ((~(v90(constB102, bitIndex1) <=> v129(constB102, bitIndex1))) | (~v90(constB102, bitIndex1)) | v129(constB102, bitIndex1)),
% 15.21/10.44 inference(tautology,[status(thm)],[])).
% 15.21/10.44 tff(16783,plain,
% 15.21/10.44 (~v90(constB102, bitIndex1)),
% 15.21/10.44 inference(unit_resolution,[status(thm)],[16782, 16781, 16762])).
% 15.21/10.44 tff(16784,plain,
% 15.21/10.44 ((~(v90(constB103, bitIndex1) <=> v90(constB102, bitIndex1))) | (~v90(constB103, bitIndex1)) | v90(constB102, bitIndex1)),
% 15.21/10.44 inference(tautology,[status(thm)],[])).
% 15.21/10.44 tff(16785,plain,
% 15.21/10.44 (~v90(constB103, bitIndex1)),
% 15.21/10.44 inference(unit_resolution,[status(thm)],[16784, 16783, 16758])).
% 15.21/10.44 tff(16786,plain,
% 15.21/10.44 ((~((~v90(constB103, bitIndex2)) | v90(constB103, bitIndex1) | v90(constB103, bitIndex0))) | (~v90(constB103, bitIndex2)) | v90(constB103, bitIndex1) | v90(constB103, bitIndex0)),
% 15.21/10.44 inference(tautology,[status(thm)],[])).
% 15.21/10.44 tff(16787,plain,
% 15.21/10.44 (~((~v90(constB103, bitIndex2)) | v90(constB103, bitIndex1) | v90(constB103, bitIndex0))),
% 15.21/10.44 inference(unit_resolution,[status(thm)],[16786, 16785, 16754, 16723])).
% 15.21/10.44 tff(16788,plain,
% 15.21/10.44 ((~(v123(constB103) <=> (~((~v90(constB103, bitIndex2)) | v90(constB103, bitIndex1) | v90(constB103, bitIndex0))))) | v123(constB103) | ((~v90(constB103, bitIndex2)) | v90(constB103, bitIndex1) | v90(constB103, bitIndex0))),
% 15.21/10.44 inference(tautology,[status(thm)],[])).
% 15.21/10.44 tff(16789,plain,
% 15.21/10.44 (v123(constB103)),
% 15.21/10.44 inference(unit_resolution,[status(thm)],[16788, 16787, 15745])).
% 15.21/10.44 tff(16790,plain,
% 15.21/10.44 ((v116(constB103) | v123(constB103)) | (~v123(constB103))),
% 15.21/10.44 inference(tautology,[status(thm)],[])).
% 15.21/10.44 tff(16791,plain,
% 15.21/10.44 (v116(constB103) | v123(constB103)),
% 15.21/10.44 inference(unit_resolution,[status(thm)],[16790, 16789])).
% 15.21/10.44 tff(16792,plain,
% 15.21/10.44 ((~(v115(constB103) <=> (v116(constB103) | v123(constB103)))) | v115(constB103) | (~(v116(constB103) | v123(constB103)))),
% 15.21/10.44 inference(tautology,[status(thm)],[])).
% 15.21/10.44 tff(16793,plain,
% 15.21/10.44 (v115(constB103)),
% 15.21/10.44 inference(unit_resolution,[status(thm)],[16792, 16791, 15738])).
% 15.21/10.44 tff(16794,plain,
% 15.21/10.44 ((v115(constB103) | v124(constB103)) | (~v115(constB103))),
% 15.21/10.44 inference(tautology,[status(thm)],[])).
% 15.21/10.44 tff(16795,plain,
% 15.21/10.44 (v115(constB103) | v124(constB103)),
% 15.21/10.44 inference(unit_resolution,[status(thm)],[16794, 16793])).
% 15.21/10.44 tff(16796,plain,
% 15.21/10.44 ((~(v114(constB103) <=> (v115(constB103) | v124(constB103)))) | v114(constB103) | (~(v115(constB103) | v124(constB103)))),
% 15.21/10.44 inference(tautology,[status(thm)],[])).
% 15.21/10.44 tff(16797,plain,
% 15.21/10.44 (v114(constB103)),
% 15.21/10.44 inference(unit_resolution,[status(thm)],[16796, 16795, 15736])).
% 15.21/10.44 tff(16798,plain,
% 15.21/10.44 ((v114(constB103) | v125(constB103)) | (~v114(constB103))),
% 15.21/10.44 inference(tautology,[status(thm)],[])).
% 15.21/10.44 tff(16799,plain,
% 15.21/10.44 (v114(constB103) | v125(constB103)),
% 15.21/10.44 inference(unit_resolution,[status(thm)],[16798, 16797])).
% 15.21/10.44 tff(16800,plain,
% 15.21/10.44 ((~(v113(constB103) <=> (v114(constB103) | v125(constB103)))) | v113(constB103) | (~(v114(constB103) | v125(constB103)))),
% 15.21/10.44 inference(tautology,[status(thm)],[])).
% 15.21/10.44 tff(16801,plain,
% 15.21/10.44 (v113(constB103)),
% 15.21/10.44 inference(unit_resolution,[status(thm)],[16800, 16799, 15734])).
% 15.21/10.44 tff(16802,plain,
% 15.21/10.44 ((~![VarCurr: $i] : ((~v126(VarCurr)) <=> v111(VarCurr))) | ((~v126(constB103)) <=> v111(constB103))),
% 15.21/10.44 inference(quant_inst,[status(thm)],[])).
% 15.21/10.44 tff(16803,plain,
% 15.21/10.44 ((~v126(constB103)) <=> v111(constB103)),
% 15.21/10.44 inference(unit_resolution,[status(thm)],[16802, 5074])).
% 15.21/10.44 tff(16804,plain,
% 15.21/10.44 ((~![VarCurr: $i] : (v111(VarCurr) <=> v26(VarCurr))) | (v111(constB103) <=> v26(constB103))),
% 15.21/10.44 inference(quant_inst,[status(thm)],[])).
% 15.21/10.44 tff(16805,plain,
% 15.21/10.44 (v111(constB103) <=> v26(constB103)),
% 15.21/10.44 inference(unit_resolution,[status(thm)],[16804, 5086])).
% 15.21/10.44 tff(16806,plain,
% 15.21/10.44 ((~![VarCurr: $i] : (~v26(VarCurr))) | (~v26(constB103))),
% 15.21/10.44 inference(quant_inst,[status(thm)],[])).
% 15.21/10.44 tff(16807,plain,
% 15.21/10.44 (~v26(constB103)),
% 15.21/10.44 inference(unit_resolution,[status(thm)],[16806, 5098])).
% 15.21/10.44 tff(16808,plain,
% 15.21/10.44 ((~(v111(constB103) <=> v26(constB103))) | (~v111(constB103)) | v26(constB103)),
% 15.21/10.44 inference(tautology,[status(thm)],[])).
% 15.21/10.44 tff(16809,plain,
% 15.21/10.44 ((~(v111(constB103) <=> v26(constB103))) | (~v111(constB103))),
% 15.21/10.44 inference(unit_resolution,[status(thm)],[16808, 16807])).
% 15.21/10.44 tff(16810,plain,
% 15.21/10.44 (~v111(constB103)),
% 15.21/10.44 inference(unit_resolution,[status(thm)],[16809, 16805])).
% 15.21/10.44 tff(16811,plain,
% 15.21/10.44 ((~((~v126(constB103)) <=> v111(constB103))) | v126(constB103) | v111(constB103)),
% 15.21/10.44 inference(tautology,[status(thm)],[])).
% 15.21/10.44 tff(16812,plain,
% 15.21/10.44 ((~((~v126(constB103)) <=> v111(constB103))) | v126(constB103)),
% 15.21/10.44 inference(unit_resolution,[status(thm)],[16811, 16810])).
% 15.21/10.44 tff(16813,plain,
% 15.21/10.44 (v126(constB103)),
% 15.21/10.44 inference(unit_resolution,[status(thm)],[16812, 16803])).
% 15.21/10.44 tff(16814,plain,
% 15.21/10.44 ((~((~v113(constB103)) | (~v126(constB103)))) | (~v113(constB103)) | (~v126(constB103))),
% 15.21/10.44 inference(tautology,[status(thm)],[])).
% 15.21/10.44 tff(16815,plain,
% 15.21/10.44 ((~((~v113(constB103)) | (~v126(constB103)))) | (~v113(constB103))),
% 15.21/10.44 inference(unit_resolution,[status(thm)],[16814, 16813])).
% 15.21/10.44 tff(16816,plain,
% 15.21/10.44 (~((~v113(constB103)) | (~v126(constB103)))),
% 15.21/10.44 inference(unit_resolution,[status(thm)],[16815, 16801])).
% 15.21/10.44 tff(16817,plain,
% 15.21/10.44 ((~(v112(constB103) <=> (~((~v113(constB103)) | (~v126(constB103)))))) | v112(constB103) | ((~v113(constB103)) | (~v126(constB103)))),
% 15.21/10.44 inference(tautology,[status(thm)],[])).
% 15.21/10.44 tff(16818,plain,
% 15.21/10.44 (v112(constB103)),
% 15.21/10.44 inference(unit_resolution,[status(thm)],[16817, 16816, 15732])).
% 15.21/10.44 tff(16819,plain,
% 15.21/10.44 ((v111(constB103) | v112(constB103)) | (~v112(constB103))),
% 15.21/10.44 inference(tautology,[status(thm)],[])).
% 15.21/10.44 tff(16820,plain,
% 15.21/10.44 (v111(constB103) | v112(constB103)),
% 15.21/10.44 inference(unit_resolution,[status(thm)],[16819, 16818])).
% 15.21/10.44 tff(16821,plain,
% 15.21/10.44 ((~(v108(constB103) <=> (v111(constB103) | v112(constB103)))) | v108(constB103) | (~(v111(constB103) | v112(constB103)))),
% 15.21/10.44 inference(tautology,[status(thm)],[])).
% 15.21/10.44 tff(16822,plain,
% 15.21/10.44 (v108(constB103)),
% 15.21/10.44 inference(unit_resolution,[status(thm)],[16821, 16820, 15730])).
% 15.21/10.44 tff(16823,plain,
% 15.21/10.44 ((~(v110(constB104) <=> v108(constB103))) | v110(constB104) | (~v108(constB103))),
% 15.21/10.44 inference(tautology,[status(thm)],[])).
% 15.21/10.44 tff(16824,plain,
% 15.21/10.44 (v110(constB104)),
% 15.21/10.44 inference(unit_resolution,[status(thm)],[16823, 16822, 15728])).
% 15.21/10.44 tff(16825,plain,
% 15.21/10.44 ((~((~v101(constB104)) | (~v110(constB104)))) | (~v101(constB104)) | (~v110(constB104))),
% 15.21/10.44 inference(tautology,[status(thm)],[])).
% 15.21/10.44 tff(16826,plain,
% 15.21/10.44 (~((~v101(constB104)) | (~v110(constB104)))),
% 15.21/10.44 inference(unit_resolution,[status(thm)],[16825, 16824, 15724])).
% 15.21/10.44 tff(16827,plain,
% 15.21/10.44 ((~(v100(constB104) <=> (~((~v101(constB104)) | (~v110(constB104)))))) | v100(constB104) | ((~v101(constB104)) | (~v110(constB104)))),
% 15.21/10.44 inference(tautology,[status(thm)],[])).
% 15.21/10.44 tff(16828,plain,
% 15.21/10.44 (v100(constB104)),
% 15.21/10.44 inference(unit_resolution,[status(thm)],[16827, 16826, 15693])).
% 15.21/10.44 tff(16829,plain,
% 15.21/10.44 (((~![VarNext: $i] : ((~v100(VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v129(VarNext, B))))) | ((~v100(constB104)) | ![B: $i] : ((~less_3(B)) | (v90(constB104, B) <=> v129(constB104, B))))) <=> ((~![VarNext: $i] : ((~v100(VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v129(VarNext, B))))) | (~v100(constB104)) | ![B: $i] : ((~less_3(B)) | (v90(constB104, B) <=> v129(constB104, B))))),
% 15.21/10.44 inference(rewrite,[status(thm)],[])).
% 15.21/10.44 tff(16830,plain,
% 15.21/10.44 ((~![VarNext: $i] : ((~v100(VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v129(VarNext, B))))) | ((~v100(constB104)) | ![B: $i] : ((~less_3(B)) | (v90(constB104, B) <=> v129(constB104, B))))),
% 15.21/10.44 inference(quant_inst,[status(thm)],[])).
% 15.21/10.44 tff(16831,plain,
% 15.21/10.44 ((~![VarNext: $i] : ((~v100(VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v129(VarNext, B))))) | (~v100(constB104)) | ![B: $i] : ((~less_3(B)) | (v90(constB104, B) <=> v129(constB104, B)))),
% 15.21/10.44 inference(modus_ponens,[status(thm)],[16830, 16829])).
% 15.21/10.44 tff(16832,plain,
% 15.21/10.44 ((~v100(constB104)) | ![B: $i] : ((~less_3(B)) | (v90(constB104, B) <=> v129(constB104, B)))),
% 15.21/10.44 inference(unit_resolution,[status(thm)],[16831, 5134])).
% 15.21/10.44 tff(16833,plain,
% 15.21/10.44 (![B: $i] : ((~less_3(B)) | (v90(constB104, B) <=> v129(constB104, B)))),
% 15.21/10.44 inference(unit_resolution,[status(thm)],[16832, 16828])).
% 15.21/10.44 tff(16834,plain,
% 15.21/10.44 (((~![B: $i] : ((~less_3(B)) | (v90(constB104, B) <=> v129(constB104, B)))) | ((~less_3(bitIndex2)) | (v90(constB104, bitIndex2) <=> v129(constB104, bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v90(constB104, B) <=> v129(constB104, B)))) | (~less_3(bitIndex2)) | (v90(constB104, bitIndex2) <=> v129(constB104, bitIndex2)))),
% 15.21/10.44 inference(rewrite,[status(thm)],[])).
% 15.21/10.44 tff(16835,plain,
% 15.21/10.44 ((~![B: $i] : ((~less_3(B)) | (v90(constB104, B) <=> v129(constB104, B)))) | ((~less_3(bitIndex2)) | (v90(constB104, bitIndex2) <=> v129(constB104, bitIndex2)))),
% 15.21/10.44 inference(quant_inst,[status(thm)],[])).
% 15.21/10.44 tff(16836,plain,
% 15.21/10.44 ((~![B: $i] : ((~less_3(B)) | (v90(constB104, B) <=> v129(constB104, B)))) | (~less_3(bitIndex2)) | (v90(constB104, bitIndex2) <=> v129(constB104, bitIndex2))),
% 15.21/10.44 inference(modus_ponens,[status(thm)],[16835, 16834])).
% 15.21/10.44 tff(16837,plain,
% 15.21/10.44 (v90(constB104, bitIndex2) <=> v129(constB104, bitIndex2)),
% 15.21/10.44 inference(unit_resolution,[status(thm)],[16836, 413, 16833])).
% 15.21/10.44 tff(16838,plain,
% 15.21/10.44 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v129(VarNext, B) <=> v127(VarCurr, B))))) | ((~nextState(constB103, constB104)) | ![B: $i] : ((~less_3(B)) | (v129(constB104, B) <=> v127(constB103, B))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v129(VarNext, B) <=> v127(VarCurr, B))))) | (~nextState(constB103, constB104)) | ![B: $i] : ((~less_3(B)) | (v129(constB104, B) <=> v127(constB103, B))))),
% 15.21/10.44 inference(rewrite,[status(thm)],[])).
% 15.21/10.44 tff(16839,plain,
% 15.21/10.44 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v129(VarNext, B) <=> v127(VarCurr, B))))) | ((~nextState(constB103, constB104)) | ![B: $i] : ((~less_3(B)) | (v129(constB104, B) <=> v127(constB103, B))))),
% 15.21/10.44 inference(quant_inst,[status(thm)],[])).
% 15.21/10.44 tff(16840,plain,
% 15.21/10.44 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v129(VarNext, B) <=> v127(VarCurr, B))))) | (~nextState(constB103, constB104)) | ![B: $i] : ((~less_3(B)) | (v129(constB104, B) <=> v127(constB103, B)))),
% 15.21/10.44 inference(modus_ponens,[status(thm)],[16839, 16838])).
% 15.21/10.44 tff(16841,plain,
% 15.21/10.44 (![B: $i] : ((~less_3(B)) | (v129(constB104, B) <=> v127(constB103, B)))),
% 15.21/10.44 inference(unit_resolution,[status(thm)],[16840, 15689, 5156])).
% 15.21/10.44 tff(16842,plain,
% 15.21/10.44 (((~![B: $i] : ((~less_3(B)) | (v129(constB104, B) <=> v127(constB103, B)))) | ((~less_3(bitIndex2)) | (v129(constB104, bitIndex2) <=> v127(constB103, bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v129(constB104, B) <=> v127(constB103, B)))) | (~less_3(bitIndex2)) | (v129(constB104, bitIndex2) <=> v127(constB103, bitIndex2)))),
% 15.21/10.44 inference(rewrite,[status(thm)],[])).
% 15.21/10.44 tff(16843,plain,
% 15.21/10.44 ((~![B: $i] : ((~less_3(B)) | (v129(constB104, B) <=> v127(constB103, B)))) | ((~less_3(bitIndex2)) | (v129(constB104, bitIndex2) <=> v127(constB103, bitIndex2)))),
% 15.21/10.44 inference(quant_inst,[status(thm)],[])).
% 15.21/10.44 tff(16844,plain,
% 15.21/10.44 ((~![B: $i] : ((~less_3(B)) | (v129(constB104, B) <=> v127(constB103, B)))) | (~less_3(bitIndex2)) | (v129(constB104, bitIndex2) <=> v127(constB103, bitIndex2))),
% 15.21/10.44 inference(modus_ponens,[status(thm)],[16843, 16842])).
% 15.21/10.44 tff(16845,plain,
% 15.21/10.44 (v129(constB104, bitIndex2) <=> v127(constB103, bitIndex2)),
% 15.21/10.44 inference(unit_resolution,[status(thm)],[16844, 413, 16841])).
% 15.21/10.44 tff(16846,plain,
% 15.21/10.44 (((~![VarCurr: $i] : (v111(VarCurr) | ![B: $i] : ((~less_3(B)) | (v127(VarCurr, B) <=> v130(VarCurr, B))))) | (v111(constB103) | ![B: $i] : ((~less_3(B)) | (v127(constB103, B) <=> v130(constB103, B))))) <=> ((~![VarCurr: $i] : (v111(VarCurr) | ![B: $i] : ((~less_3(B)) | (v127(VarCurr, B) <=> v130(VarCurr, B))))) | v111(constB103) | ![B: $i] : ((~less_3(B)) | (v127(constB103, B) <=> v130(constB103, B))))),
% 15.21/10.44 inference(rewrite,[status(thm)],[])).
% 15.21/10.44 tff(16847,plain,
% 15.21/10.44 ((~![VarCurr: $i] : (v111(VarCurr) | ![B: $i] : ((~less_3(B)) | (v127(VarCurr, B) <=> v130(VarCurr, B))))) | (v111(constB103) | ![B: $i] : ((~less_3(B)) | (v127(constB103, B) <=> v130(constB103, B))))),
% 15.21/10.44 inference(quant_inst,[status(thm)],[])).
% 15.21/10.44 tff(16848,plain,
% 15.21/10.44 ((~![VarCurr: $i] : (v111(VarCurr) | ![B: $i] : ((~less_3(B)) | (v127(VarCurr, B) <=> v130(VarCurr, B))))) | v111(constB103) | ![B: $i] : ((~less_3(B)) | (v127(constB103, B) <=> v130(constB103, B)))),
% 15.21/10.44 inference(modus_ponens,[status(thm)],[16847, 16846])).
% 15.21/10.44 tff(16849,plain,
% 15.21/10.44 (![B: $i] : ((~less_3(B)) | (v127(constB103, B) <=> v130(constB103, B)))),
% 15.21/10.44 inference(unit_resolution,[status(thm)],[16848, 5177, 16810])).
% 15.21/10.44 tff(16850,plain,
% 15.21/10.44 (((~![B: $i] : ((~less_3(B)) | (v127(constB103, B) <=> v130(constB103, B)))) | ((~less_3(bitIndex2)) | (v127(constB103, bitIndex2) <=> v130(constB103, bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v127(constB103, B) <=> v130(constB103, B)))) | (~less_3(bitIndex2)) | (v127(constB103, bitIndex2) <=> v130(constB103, bitIndex2)))),
% 15.21/10.44 inference(rewrite,[status(thm)],[])).
% 15.21/10.44 tff(16851,plain,
% 15.21/10.44 ((~![B: $i] : ((~less_3(B)) | (v127(constB103, B) <=> v130(constB103, B)))) | ((~less_3(bitIndex2)) | (v127(constB103, bitIndex2) <=> v130(constB103, bitIndex2)))),
% 15.21/10.44 inference(quant_inst,[status(thm)],[])).
% 15.21/10.44 tff(16852,plain,
% 15.21/10.44 ((~![B: $i] : ((~less_3(B)) | (v127(constB103, B) <=> v130(constB103, B)))) | (~less_3(bitIndex2)) | (v127(constB103, bitIndex2) <=> v130(constB103, bitIndex2))),
% 15.21/10.44 inference(modus_ponens,[status(thm)],[16851, 16850])).
% 15.21/10.44 tff(16853,plain,
% 15.21/10.44 (v127(constB103, bitIndex2) <=> v130(constB103, bitIndex2)),
% 15.21/10.44 inference(unit_resolution,[status(thm)],[16852, 413, 16849])).
% 15.21/10.44 tff(16854,plain,
% 15.21/10.44 (((~![VarCurr: $i] : ((~v123(VarCurr)) | ![B: $i] : ((~less_3(B)) | (v130(VarCurr, B) <=> b110(B))))) | ((~v123(constB103)) | ![B: $i] : ((~less_3(B)) | (v130(constB103, B) <=> b110(B))))) <=> ((~![VarCurr: $i] : ((~v123(VarCurr)) | ![B: $i] : ((~less_3(B)) | (v130(VarCurr, B) <=> b110(B))))) | (~v123(constB103)) | ![B: $i] : ((~less_3(B)) | (v130(constB103, B) <=> b110(B))))),
% 15.21/10.44 inference(rewrite,[status(thm)],[])).
% 15.21/10.44 tff(16855,plain,
% 15.21/10.44 ((~![VarCurr: $i] : ((~v123(VarCurr)) | ![B: $i] : ((~less_3(B)) | (v130(VarCurr, B) <=> b110(B))))) | ((~v123(constB103)) | ![B: $i] : ((~less_3(B)) | (v130(constB103, B) <=> b110(B))))),
% 15.21/10.44 inference(quant_inst,[status(thm)],[])).
% 15.21/10.44 tff(16856,plain,
% 15.21/10.44 ((~![VarCurr: $i] : ((~v123(VarCurr)) | ![B: $i] : ((~less_3(B)) | (v130(VarCurr, B) <=> b110(B))))) | (~v123(constB103)) | ![B: $i] : ((~less_3(B)) | (v130(constB103, B) <=> b110(B)))),
% 15.21/10.44 inference(modus_ponens,[status(thm)],[16855, 16854])).
% 15.21/10.44 tff(16857,plain,
% 15.21/10.44 ((~v123(constB103)) | ![B: $i] : ((~less_3(B)) | (v130(constB103, B) <=> b110(B)))),
% 15.21/10.44 inference(unit_resolution,[status(thm)],[16856, 5369])).
% 15.21/10.44 tff(16858,plain,
% 15.21/10.44 (![B: $i] : ((~less_3(B)) | (v130(constB103, B) <=> b110(B)))),
% 15.21/10.44 inference(unit_resolution,[status(thm)],[16857, 16789])).
% 15.21/10.44 tff(16859,plain,
% 15.21/10.44 (((~![B: $i] : ((~less_3(B)) | (v130(constB103, B) <=> b110(B)))) | ((~less_3(bitIndex2)) | (v130(constB103, bitIndex2) <=> b110(bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v130(constB103, B) <=> b110(B)))) | (~less_3(bitIndex2)) | (v130(constB103, bitIndex2) <=> b110(bitIndex2)))),
% 15.21/10.44 inference(rewrite,[status(thm)],[])).
% 15.21/10.44 tff(16860,plain,
% 15.21/10.44 ((~![B: $i] : ((~less_3(B)) | (v130(constB103, B) <=> b110(B)))) | ((~less_3(bitIndex2)) | (v130(constB103, bitIndex2) <=> b110(bitIndex2)))),
% 15.21/10.44 inference(quant_inst,[status(thm)],[])).
% 15.21/10.44 tff(16861,plain,
% 15.21/10.44 ((~![B: $i] : ((~less_3(B)) | (v130(constB103, B) <=> b110(B)))) | (~less_3(bitIndex2)) | (v130(constB103, bitIndex2) <=> b110(bitIndex2))),
% 15.21/10.44 inference(modus_ponens,[status(thm)],[16860, 16859])).
% 15.21/10.44 tff(16862,plain,
% 15.21/10.44 (v130(constB103, bitIndex2) <=> b110(bitIndex2)),
% 15.21/10.44 inference(unit_resolution,[status(thm)],[16861, 413, 16858])).
% 15.21/10.44 tff(16863,plain,
% 15.21/10.44 ((~(v130(constB103, bitIndex2) <=> b110(bitIndex2))) | v130(constB103, bitIndex2) | (~b110(bitIndex2))),
% 15.21/10.44 inference(tautology,[status(thm)],[])).
% 15.21/10.44 tff(16864,plain,
% 15.21/10.44 ((~(v130(constB103, bitIndex2) <=> b110(bitIndex2))) | v130(constB103, bitIndex2)),
% 15.21/10.44 inference(unit_resolution,[status(thm)],[16863, 5381])).
% 15.21/10.44 tff(16865,plain,
% 15.21/10.44 (v130(constB103, bitIndex2)),
% 15.21/10.44 inference(unit_resolution,[status(thm)],[16864, 16862])).
% 15.21/10.44 tff(16866,plain,
% 15.21/10.44 ((~(v127(constB103, bitIndex2) <=> v130(constB103, bitIndex2))) | v127(constB103, bitIndex2) | (~v130(constB103, bitIndex2))),
% 15.21/10.44 inference(tautology,[status(thm)],[])).
% 15.21/10.44 tff(16867,plain,
% 15.21/10.44 (v127(constB103, bitIndex2)),
% 15.21/10.44 inference(unit_resolution,[status(thm)],[16866, 16865, 16853])).
% 15.21/10.44 tff(16868,plain,
% 15.21/10.44 ((~(v129(constB104, bitIndex2) <=> v127(constB103, bitIndex2))) | v129(constB104, bitIndex2) | (~v127(constB103, bitIndex2))),
% 15.21/10.44 inference(tautology,[status(thm)],[])).
% 15.21/10.44 tff(16869,plain,
% 15.21/10.44 (v129(constB104, bitIndex2)),
% 15.21/10.44 inference(unit_resolution,[status(thm)],[16868, 16867, 16845])).
% 15.21/10.44 tff(16870,plain,
% 15.21/10.44 ((~(v90(constB104, bitIndex2) <=> v129(constB104, bitIndex2))) | v90(constB104, bitIndex2) | (~v129(constB104, bitIndex2))),
% 15.21/10.44 inference(tautology,[status(thm)],[])).
% 15.21/10.44 tff(16871,plain,
% 15.21/10.44 (v90(constB104, bitIndex2)),
% 15.21/10.44 inference(unit_resolution,[status(thm)],[16870, 16869, 16837])).
% 15.21/10.44 tff(16872,plain,
% 15.21/10.44 ((~(v90(constB105, bitIndex2) <=> v90(constB104, bitIndex2))) | v90(constB105, bitIndex2) | (~v90(constB104, bitIndex2))),
% 15.21/10.44 inference(tautology,[status(thm)],[])).
% 15.21/10.44 tff(16873,plain,
% 15.21/10.44 (v90(constB105, bitIndex2)),
% 15.21/10.44 inference(unit_resolution,[status(thm)],[16872, 16871, 15686])).
% 15.21/10.44 tff(16874,plain,
% 15.21/10.45 (((~![B: $i] : ((~less_3(B)) | (v90(constB105, B) <=> v90(constB104, B)))) | ((~less_3(bitIndex0)) | (v90(constB105, bitIndex0) <=> v90(constB104, bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v90(constB105, B) <=> v90(constB104, B)))) | (~less_3(bitIndex0)) | (v90(constB105, bitIndex0) <=> v90(constB104, bitIndex0)))),
% 15.21/10.45 inference(rewrite,[status(thm)],[])).
% 15.21/10.45 tff(16875,plain,
% 15.21/10.45 ((~![B: $i] : ((~less_3(B)) | (v90(constB105, B) <=> v90(constB104, B)))) | ((~less_3(bitIndex0)) | (v90(constB105, bitIndex0) <=> v90(constB104, bitIndex0)))),
% 15.21/10.45 inference(quant_inst,[status(thm)],[])).
% 15.21/10.45 tff(16876,plain,
% 15.21/10.45 ((~![B: $i] : ((~less_3(B)) | (v90(constB105, B) <=> v90(constB104, B)))) | (~less_3(bitIndex0)) | (v90(constB105, bitIndex0) <=> v90(constB104, bitIndex0))),
% 15.21/10.45 inference(modus_ponens,[status(thm)],[16875, 16874])).
% 15.21/10.45 tff(16877,plain,
% 15.21/10.45 (v90(constB105, bitIndex0) <=> v90(constB104, bitIndex0)),
% 15.21/10.45 inference(unit_resolution,[status(thm)],[16876, 5004, 15682])).
% 15.21/10.45 tff(16878,plain,
% 15.21/10.45 (((~![B: $i] : ((~less_3(B)) | (v90(constB104, B) <=> v129(constB104, B)))) | ((~less_3(bitIndex0)) | (v90(constB104, bitIndex0) <=> v129(constB104, bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v90(constB104, B) <=> v129(constB104, B)))) | (~less_3(bitIndex0)) | (v90(constB104, bitIndex0) <=> v129(constB104, bitIndex0)))),
% 15.21/10.45 inference(rewrite,[status(thm)],[])).
% 15.21/10.45 tff(16879,plain,
% 15.21/10.45 ((~![B: $i] : ((~less_3(B)) | (v90(constB104, B) <=> v129(constB104, B)))) | ((~less_3(bitIndex0)) | (v90(constB104, bitIndex0) <=> v129(constB104, bitIndex0)))),
% 15.21/10.45 inference(quant_inst,[status(thm)],[])).
% 15.21/10.45 tff(16880,plain,
% 15.21/10.45 ((~![B: $i] : ((~less_3(B)) | (v90(constB104, B) <=> v129(constB104, B)))) | (~less_3(bitIndex0)) | (v90(constB104, bitIndex0) <=> v129(constB104, bitIndex0))),
% 15.21/10.45 inference(modus_ponens,[status(thm)],[16879, 16878])).
% 15.21/10.45 tff(16881,plain,
% 15.21/10.45 (v90(constB104, bitIndex0) <=> v129(constB104, bitIndex0)),
% 15.21/10.45 inference(unit_resolution,[status(thm)],[16880, 5004, 16833])).
% 15.21/10.45 tff(16882,plain,
% 15.21/10.45 (((~![B: $i] : ((~less_3(B)) | (v129(constB104, B) <=> v127(constB103, B)))) | ((~less_3(bitIndex0)) | (v129(constB104, bitIndex0) <=> v127(constB103, bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v129(constB104, B) <=> v127(constB103, B)))) | (~less_3(bitIndex0)) | (v129(constB104, bitIndex0) <=> v127(constB103, bitIndex0)))),
% 15.21/10.45 inference(rewrite,[status(thm)],[])).
% 15.21/10.45 tff(16883,plain,
% 15.21/10.45 ((~![B: $i] : ((~less_3(B)) | (v129(constB104, B) <=> v127(constB103, B)))) | ((~less_3(bitIndex0)) | (v129(constB104, bitIndex0) <=> v127(constB103, bitIndex0)))),
% 15.21/10.45 inference(quant_inst,[status(thm)],[])).
% 15.21/10.45 tff(16884,plain,
% 15.21/10.45 ((~![B: $i] : ((~less_3(B)) | (v129(constB104, B) <=> v127(constB103, B)))) | (~less_3(bitIndex0)) | (v129(constB104, bitIndex0) <=> v127(constB103, bitIndex0))),
% 15.21/10.45 inference(modus_ponens,[status(thm)],[16883, 16882])).
% 15.21/10.45 tff(16885,plain,
% 15.21/10.45 (v129(constB104, bitIndex0) <=> v127(constB103, bitIndex0)),
% 15.21/10.45 inference(unit_resolution,[status(thm)],[16884, 5004, 16841])).
% 15.21/10.45 tff(16886,plain,
% 15.21/10.45 (((~![B: $i] : ((~less_3(B)) | (v127(constB103, B) <=> v130(constB103, B)))) | ((~less_3(bitIndex0)) | (v127(constB103, bitIndex0) <=> v130(constB103, bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v127(constB103, B) <=> v130(constB103, B)))) | (~less_3(bitIndex0)) | (v127(constB103, bitIndex0) <=> v130(constB103, bitIndex0)))),
% 15.21/10.45 inference(rewrite,[status(thm)],[])).
% 15.21/10.45 tff(16887,plain,
% 15.21/10.45 ((~![B: $i] : ((~less_3(B)) | (v127(constB103, B) <=> v130(constB103, B)))) | ((~less_3(bitIndex0)) | (v127(constB103, bitIndex0) <=> v130(constB103, bitIndex0)))),
% 15.21/10.45 inference(quant_inst,[status(thm)],[])).
% 15.21/10.45 tff(16888,plain,
% 15.21/10.45 ((~![B: $i] : ((~less_3(B)) | (v127(constB103, B) <=> v130(constB103, B)))) | (~less_3(bitIndex0)) | (v127(constB103, bitIndex0) <=> v130(constB103, bitIndex0))),
% 15.21/10.45 inference(modus_ponens,[status(thm)],[16887, 16886])).
% 15.21/10.45 tff(16889,plain,
% 15.21/10.45 (v127(constB103, bitIndex0) <=> v130(constB103, bitIndex0)),
% 15.21/10.45 inference(unit_resolution,[status(thm)],[16888, 5004, 16849])).
% 15.21/10.45 tff(16890,plain,
% 15.21/10.45 (((~![B: $i] : ((~less_3(B)) | (v130(constB103, B) <=> b110(B)))) | ((~less_3(bitIndex0)) | (v130(constB103, bitIndex0) <=> b110(bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v130(constB103, B) <=> b110(B)))) | (~less_3(bitIndex0)) | (v130(constB103, bitIndex0) <=> b110(bitIndex0)))),
% 15.21/10.45 inference(rewrite,[status(thm)],[])).
% 15.21/10.45 tff(16891,plain,
% 15.21/10.45 ((~![B: $i] : ((~less_3(B)) | (v130(constB103, B) <=> b110(B)))) | ((~less_3(bitIndex0)) | (v130(constB103, bitIndex0) <=> b110(bitIndex0)))),
% 15.21/10.45 inference(quant_inst,[status(thm)],[])).
% 15.21/10.45 tff(16892,plain,
% 15.21/10.45 ((~![B: $i] : ((~less_3(B)) | (v130(constB103, B) <=> b110(B)))) | (~less_3(bitIndex0)) | (v130(constB103, bitIndex0) <=> b110(bitIndex0))),
% 15.21/10.45 inference(modus_ponens,[status(thm)],[16891, 16890])).
% 15.21/10.45 tff(16893,plain,
% 15.21/10.45 (v130(constB103, bitIndex0) <=> b110(bitIndex0)),
% 15.21/10.45 inference(unit_resolution,[status(thm)],[16892, 5004, 16858])).
% 15.21/10.45 tff(16894,plain,
% 15.21/10.45 ((~(v130(constB103, bitIndex0) <=> b110(bitIndex0))) | (~v130(constB103, bitIndex0)) | b110(bitIndex0)),
% 15.21/10.45 inference(tautology,[status(thm)],[])).
% 15.21/10.45 tff(16895,plain,
% 15.21/10.45 ((~(v130(constB103, bitIndex0) <=> b110(bitIndex0))) | (~v130(constB103, bitIndex0))),
% 15.21/10.45 inference(unit_resolution,[status(thm)],[16894, 5415])).
% 15.21/10.45 tff(16896,plain,
% 15.21/10.45 (~v130(constB103, bitIndex0)),
% 15.21/10.45 inference(unit_resolution,[status(thm)],[16895, 16893])).
% 15.21/10.45 tff(16897,plain,
% 15.21/10.45 ((~(v127(constB103, bitIndex0) <=> v130(constB103, bitIndex0))) | (~v127(constB103, bitIndex0)) | v130(constB103, bitIndex0)),
% 15.21/10.45 inference(tautology,[status(thm)],[])).
% 15.21/10.45 tff(16898,plain,
% 15.21/10.45 (~v127(constB103, bitIndex0)),
% 15.21/10.45 inference(unit_resolution,[status(thm)],[16897, 16896, 16889])).
% 15.21/10.45 tff(16899,plain,
% 15.21/10.45 ((~(v129(constB104, bitIndex0) <=> v127(constB103, bitIndex0))) | (~v129(constB104, bitIndex0)) | v127(constB103, bitIndex0)),
% 15.21/10.45 inference(tautology,[status(thm)],[])).
% 15.21/10.45 tff(16900,plain,
% 15.21/10.45 (~v129(constB104, bitIndex0)),
% 15.21/10.45 inference(unit_resolution,[status(thm)],[16899, 16898, 16885])).
% 15.21/10.45 tff(16901,plain,
% 15.21/10.45 ((~(v90(constB104, bitIndex0) <=> v129(constB104, bitIndex0))) | (~v90(constB104, bitIndex0)) | v129(constB104, bitIndex0)),
% 15.21/10.45 inference(tautology,[status(thm)],[])).
% 15.21/10.45 tff(16902,plain,
% 15.21/10.45 (~v90(constB104, bitIndex0)),
% 15.21/10.45 inference(unit_resolution,[status(thm)],[16901, 16900, 16881])).
% 15.21/10.45 tff(16903,plain,
% 15.21/10.45 ((~(v90(constB105, bitIndex0) <=> v90(constB104, bitIndex0))) | (~v90(constB105, bitIndex0)) | v90(constB104, bitIndex0)),
% 15.21/10.45 inference(tautology,[status(thm)],[])).
% 15.21/10.45 tff(16904,plain,
% 15.21/10.45 (~v90(constB105, bitIndex0)),
% 15.21/10.45 inference(unit_resolution,[status(thm)],[16903, 16902, 16877])).
% 15.21/10.45 tff(16905,plain,
% 15.21/10.45 (((~![B: $i] : ((~less_3(B)) | (v90(constB105, B) <=> v90(constB104, B)))) | ((~less_3(bitIndex1)) | (v90(constB105, bitIndex1) <=> v90(constB104, bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v90(constB105, B) <=> v90(constB104, B)))) | (~less_3(bitIndex1)) | (v90(constB105, bitIndex1) <=> v90(constB104, bitIndex1)))),
% 15.21/10.45 inference(rewrite,[status(thm)],[])).
% 15.21/10.45 tff(16906,plain,
% 15.21/10.45 ((~![B: $i] : ((~less_3(B)) | (v90(constB105, B) <=> v90(constB104, B)))) | ((~less_3(bitIndex1)) | (v90(constB105, bitIndex1) <=> v90(constB104, bitIndex1)))),
% 15.21/10.45 inference(quant_inst,[status(thm)],[])).
% 15.21/10.45 tff(16907,plain,
% 15.21/10.45 ((~![B: $i] : ((~less_3(B)) | (v90(constB105, B) <=> v90(constB104, B)))) | (~less_3(bitIndex1)) | (v90(constB105, bitIndex1) <=> v90(constB104, bitIndex1))),
% 15.21/10.45 inference(modus_ponens,[status(thm)],[16906, 16905])).
% 15.21/10.45 tff(16908,plain,
% 15.21/10.45 (v90(constB105, bitIndex1) <=> v90(constB104, bitIndex1)),
% 15.21/10.45 inference(unit_resolution,[status(thm)],[16907, 5017, 15682])).
% 15.21/10.45 tff(16909,plain,
% 15.21/10.45 (((~![B: $i] : ((~less_3(B)) | (v90(constB104, B) <=> v129(constB104, B)))) | ((~less_3(bitIndex1)) | (v90(constB104, bitIndex1) <=> v129(constB104, bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v90(constB104, B) <=> v129(constB104, B)))) | (~less_3(bitIndex1)) | (v90(constB104, bitIndex1) <=> v129(constB104, bitIndex1)))),
% 15.21/10.45 inference(rewrite,[status(thm)],[])).
% 15.21/10.45 tff(16910,plain,
% 15.21/10.45 ((~![B: $i] : ((~less_3(B)) | (v90(constB104, B) <=> v129(constB104, B)))) | ((~less_3(bitIndex1)) | (v90(constB104, bitIndex1) <=> v129(constB104, bitIndex1)))),
% 15.21/10.45 inference(quant_inst,[status(thm)],[])).
% 15.21/10.45 tff(16911,plain,
% 15.21/10.45 ((~![B: $i] : ((~less_3(B)) | (v90(constB104, B) <=> v129(constB104, B)))) | (~less_3(bitIndex1)) | (v90(constB104, bitIndex1) <=> v129(constB104, bitIndex1))),
% 15.21/10.45 inference(modus_ponens,[status(thm)],[16910, 16909])).
% 15.21/10.45 tff(16912,plain,
% 15.21/10.45 (v90(constB104, bitIndex1) <=> v129(constB104, bitIndex1)),
% 15.21/10.45 inference(unit_resolution,[status(thm)],[16911, 5017, 16833])).
% 15.21/10.45 tff(16913,plain,
% 15.21/10.45 (((~![B: $i] : ((~less_3(B)) | (v129(constB104, B) <=> v127(constB103, B)))) | ((~less_3(bitIndex1)) | (v129(constB104, bitIndex1) <=> v127(constB103, bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v129(constB104, B) <=> v127(constB103, B)))) | (~less_3(bitIndex1)) | (v129(constB104, bitIndex1) <=> v127(constB103, bitIndex1)))),
% 15.21/10.45 inference(rewrite,[status(thm)],[])).
% 15.21/10.45 tff(16914,plain,
% 15.21/10.45 ((~![B: $i] : ((~less_3(B)) | (v129(constB104, B) <=> v127(constB103, B)))) | ((~less_3(bitIndex1)) | (v129(constB104, bitIndex1) <=> v127(constB103, bitIndex1)))),
% 15.21/10.45 inference(quant_inst,[status(thm)],[])).
% 15.21/10.45 tff(16915,plain,
% 15.21/10.45 ((~![B: $i] : ((~less_3(B)) | (v129(constB104, B) <=> v127(constB103, B)))) | (~less_3(bitIndex1)) | (v129(constB104, bitIndex1) <=> v127(constB103, bitIndex1))),
% 15.21/10.45 inference(modus_ponens,[status(thm)],[16914, 16913])).
% 15.21/10.45 tff(16916,plain,
% 15.21/10.45 (v129(constB104, bitIndex1) <=> v127(constB103, bitIndex1)),
% 15.21/10.45 inference(unit_resolution,[status(thm)],[16915, 5017, 16841])).
% 15.21/10.45 tff(16917,plain,
% 15.21/10.45 (((~![B: $i] : ((~less_3(B)) | (v127(constB103, B) <=> v130(constB103, B)))) | ((~less_3(bitIndex1)) | (v127(constB103, bitIndex1) <=> v130(constB103, bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v127(constB103, B) <=> v130(constB103, B)))) | (~less_3(bitIndex1)) | (v127(constB103, bitIndex1) <=> v130(constB103, bitIndex1)))),
% 15.21/10.45 inference(rewrite,[status(thm)],[])).
% 15.21/10.45 tff(16918,plain,
% 15.21/10.45 ((~![B: $i] : ((~less_3(B)) | (v127(constB103, B) <=> v130(constB103, B)))) | ((~less_3(bitIndex1)) | (v127(constB103, bitIndex1) <=> v130(constB103, bitIndex1)))),
% 15.21/10.45 inference(quant_inst,[status(thm)],[])).
% 15.21/10.45 tff(16919,plain,
% 15.21/10.45 ((~![B: $i] : ((~less_3(B)) | (v127(constB103, B) <=> v130(constB103, B)))) | (~less_3(bitIndex1)) | (v127(constB103, bitIndex1) <=> v130(constB103, bitIndex1))),
% 15.21/10.45 inference(modus_ponens,[status(thm)],[16918, 16917])).
% 15.21/10.45 tff(16920,plain,
% 15.21/10.45 (v127(constB103, bitIndex1) <=> v130(constB103, bitIndex1)),
% 15.21/10.45 inference(unit_resolution,[status(thm)],[16919, 5017, 16849])).
% 15.21/10.45 tff(16921,plain,
% 15.21/10.45 (((~![B: $i] : ((~less_3(B)) | (v130(constB103, B) <=> b110(B)))) | ((~less_3(bitIndex1)) | (v130(constB103, bitIndex1) <=> b110(bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v130(constB103, B) <=> b110(B)))) | (~less_3(bitIndex1)) | (v130(constB103, bitIndex1) <=> b110(bitIndex1)))),
% 15.21/10.45 inference(rewrite,[status(thm)],[])).
% 15.21/10.45 tff(16922,plain,
% 15.21/10.45 ((~![B: $i] : ((~less_3(B)) | (v130(constB103, B) <=> b110(B)))) | ((~less_3(bitIndex1)) | (v130(constB103, bitIndex1) <=> b110(bitIndex1)))),
% 15.21/10.45 inference(quant_inst,[status(thm)],[])).
% 15.21/10.45 tff(16923,plain,
% 15.21/10.45 ((~![B: $i] : ((~less_3(B)) | (v130(constB103, B) <=> b110(B)))) | (~less_3(bitIndex1)) | (v130(constB103, bitIndex1) <=> b110(bitIndex1))),
% 15.21/10.45 inference(modus_ponens,[status(thm)],[16922, 16921])).
% 15.21/10.45 tff(16924,plain,
% 15.21/10.45 (v130(constB103, bitIndex1) <=> b110(bitIndex1)),
% 15.21/10.45 inference(unit_resolution,[status(thm)],[16923, 5017, 16858])).
% 15.21/10.45 tff(16925,plain,
% 15.21/10.45 ((~(v130(constB103, bitIndex1) <=> b110(bitIndex1))) | v130(constB103, bitIndex1) | (~b110(bitIndex1))),
% 15.21/10.45 inference(tautology,[status(thm)],[])).
% 15.21/10.45 tff(16926,plain,
% 15.21/10.45 ((~(v130(constB103, bitIndex1) <=> b110(bitIndex1))) | v130(constB103, bitIndex1)),
% 15.21/10.45 inference(unit_resolution,[status(thm)],[16925, 5449])).
% 15.21/10.45 tff(16927,plain,
% 15.21/10.45 (v130(constB103, bitIndex1)),
% 15.21/10.45 inference(unit_resolution,[status(thm)],[16926, 16924])).
% 15.21/10.45 tff(16928,plain,
% 15.21/10.45 ((~(v127(constB103, bitIndex1) <=> v130(constB103, bitIndex1))) | v127(constB103, bitIndex1) | (~v130(constB103, bitIndex1))),
% 15.21/10.45 inference(tautology,[status(thm)],[])).
% 15.21/10.45 tff(16929,plain,
% 15.21/10.45 (v127(constB103, bitIndex1)),
% 15.21/10.45 inference(unit_resolution,[status(thm)],[16928, 16927, 16920])).
% 15.21/10.45 tff(16930,plain,
% 15.21/10.45 ((~(v129(constB104, bitIndex1) <=> v127(constB103, bitIndex1))) | v129(constB104, bitIndex1) | (~v127(constB103, bitIndex1))),
% 15.21/10.45 inference(tautology,[status(thm)],[])).
% 15.21/10.45 tff(16931,plain,
% 15.21/10.45 (v129(constB104, bitIndex1)),
% 15.21/10.45 inference(unit_resolution,[status(thm)],[16930, 16929, 16916])).
% 15.21/10.45 tff(16932,plain,
% 15.21/10.45 ((~(v90(constB104, bitIndex1) <=> v129(constB104, bitIndex1))) | v90(constB104, bitIndex1) | (~v129(constB104, bitIndex1))),
% 15.21/10.45 inference(tautology,[status(thm)],[])).
% 15.21/10.45 tff(16933,plain,
% 15.21/10.45 (v90(constB104, bitIndex1)),
% 15.21/10.45 inference(unit_resolution,[status(thm)],[16932, 16931, 16912])).
% 15.21/10.45 tff(16934,plain,
% 15.21/10.45 ((~(v90(constB105, bitIndex1) <=> v90(constB104, bitIndex1))) | v90(constB105, bitIndex1) | (~v90(constB104, bitIndex1))),
% 15.21/10.45 inference(tautology,[status(thm)],[])).
% 15.21/10.45 tff(16935,plain,
% 15.21/10.45 (v90(constB105, bitIndex1)),
% 15.21/10.45 inference(unit_resolution,[status(thm)],[16934, 16933, 16908])).
% 15.21/10.45 tff(16936,plain,
% 15.21/10.45 ((~((~v90(constB105, bitIndex2)) | (~v90(constB105, bitIndex1)) | v90(constB105, bitIndex0))) | (~v90(constB105, bitIndex2)) | (~v90(constB105, bitIndex1)) | v90(constB105, bitIndex0)),
% 15.21/10.45 inference(tautology,[status(thm)],[])).
% 15.21/10.45 tff(16937,plain,
% 15.21/10.45 (~((~v90(constB105, bitIndex2)) | (~v90(constB105, bitIndex1)) | v90(constB105, bitIndex0))),
% 15.21/10.45 inference(unit_resolution,[status(thm)],[16936, 16935, 16904, 16873])).
% 15.21/10.45 tff(16938,plain,
% 15.21/10.45 ((~(v125(constB105) <=> (~((~v90(constB105, bitIndex2)) | (~v90(constB105, bitIndex1)) | v90(constB105, bitIndex0))))) | v125(constB105) | ((~v90(constB105, bitIndex2)) | (~v90(constB105, bitIndex1)) | v90(constB105, bitIndex0))),
% 15.21/10.45 inference(tautology,[status(thm)],[])).
% 15.21/10.45 tff(16939,plain,
% 15.21/10.45 (v125(constB105)),
% 15.21/10.45 inference(unit_resolution,[status(thm)],[16938, 16937, 15654])).
% 15.21/10.45 tff(16940,plain,
% 15.21/10.45 ((v114(constB105) | v125(constB105)) | (~v125(constB105))),
% 15.21/10.45 inference(tautology,[status(thm)],[])).
% 15.21/10.45 tff(16941,plain,
% 15.21/10.45 (v114(constB105) | v125(constB105)),
% 15.21/10.45 inference(unit_resolution,[status(thm)],[16940, 16939])).
% 15.21/10.45 tff(16942,plain,
% 15.21/10.45 ((~(v113(constB105) <=> (v114(constB105) | v125(constB105)))) | v113(constB105) | (~(v114(constB105) | v125(constB105)))),
% 15.21/10.45 inference(tautology,[status(thm)],[])).
% 15.21/10.45 tff(16943,plain,
% 15.21/10.45 (v113(constB105)),
% 15.21/10.45 inference(unit_resolution,[status(thm)],[16942, 16941, 15647])).
% 15.21/10.45 tff(16944,plain,
% 15.21/10.45 ((~![VarCurr: $i] : ((~v126(VarCurr)) <=> v111(VarCurr))) | ((~v126(constB105)) <=> v111(constB105))),
% 15.21/10.45 inference(quant_inst,[status(thm)],[])).
% 15.21/10.45 tff(16945,plain,
% 15.21/10.45 ((~v126(constB105)) <=> v111(constB105)),
% 15.21/10.45 inference(unit_resolution,[status(thm)],[16944, 5074])).
% 15.21/10.45 tff(16946,plain,
% 15.21/10.45 ((~![VarCurr: $i] : (v111(VarCurr) <=> v26(VarCurr))) | (v111(constB105) <=> v26(constB105))),
% 15.21/10.45 inference(quant_inst,[status(thm)],[])).
% 15.21/10.45 tff(16947,plain,
% 15.21/10.45 (v111(constB105) <=> v26(constB105)),
% 15.21/10.45 inference(unit_resolution,[status(thm)],[16946, 5086])).
% 15.21/10.45 tff(16948,plain,
% 15.21/10.45 ((~![VarCurr: $i] : (~v26(VarCurr))) | (~v26(constB105))),
% 15.21/10.45 inference(quant_inst,[status(thm)],[])).
% 15.21/10.45 tff(16949,plain,
% 15.21/10.45 (~v26(constB105)),
% 15.21/10.45 inference(unit_resolution,[status(thm)],[16948, 5098])).
% 15.21/10.45 tff(16950,plain,
% 15.21/10.45 ((~(v111(constB105) <=> v26(constB105))) | (~v111(constB105)) | v26(constB105)),
% 15.21/10.45 inference(tautology,[status(thm)],[])).
% 15.21/10.45 tff(16951,plain,
% 15.21/10.45 ((~(v111(constB105) <=> v26(constB105))) | (~v111(constB105))),
% 15.21/10.45 inference(unit_resolution,[status(thm)],[16950, 16949])).
% 15.21/10.45 tff(16952,plain,
% 15.21/10.45 (~v111(constB105)),
% 15.21/10.45 inference(unit_resolution,[status(thm)],[16951, 16947])).
% 15.21/10.45 tff(16953,plain,
% 15.21/10.45 ((~((~v126(constB105)) <=> v111(constB105))) | v126(constB105) | v111(constB105)),
% 15.21/10.45 inference(tautology,[status(thm)],[])).
% 15.21/10.45 tff(16954,plain,
% 15.21/10.45 ((~((~v126(constB105)) <=> v111(constB105))) | v126(constB105)),
% 15.21/10.45 inference(unit_resolution,[status(thm)],[16953, 16952])).
% 15.21/10.45 tff(16955,plain,
% 15.21/10.45 (v126(constB105)),
% 15.21/10.45 inference(unit_resolution,[status(thm)],[16954, 16945])).
% 15.21/10.45 tff(16956,plain,
% 15.21/10.45 ((~((~v113(constB105)) | (~v126(constB105)))) | (~v113(constB105)) | (~v126(constB105))),
% 15.21/10.45 inference(tautology,[status(thm)],[])).
% 15.21/10.45 tff(16957,plain,
% 15.21/10.45 ((~((~v113(constB105)) | (~v126(constB105)))) | (~v113(constB105))),
% 15.21/10.45 inference(unit_resolution,[status(thm)],[16956, 16955])).
% 15.21/10.45 tff(16958,plain,
% 15.21/10.45 (~((~v113(constB105)) | (~v126(constB105)))),
% 15.21/10.45 inference(unit_resolution,[status(thm)],[16957, 16943])).
% 15.21/10.45 tff(16959,plain,
% 15.21/10.45 ((~(v112(constB105) <=> (~((~v113(constB105)) | (~v126(constB105)))))) | v112(constB105) | ((~v113(constB105)) | (~v126(constB105)))),
% 15.21/10.45 inference(tautology,[status(thm)],[])).
% 15.21/10.45 tff(16960,plain,
% 15.21/10.45 (v112(constB105)),
% 15.21/10.45 inference(unit_resolution,[status(thm)],[16959, 16958, 15645])).
% 15.21/10.45 tff(16961,plain,
% 15.21/10.45 ((v111(constB105) | v112(constB105)) | (~v112(constB105))),
% 15.21/10.45 inference(tautology,[status(thm)],[])).
% 15.21/10.45 tff(16962,plain,
% 15.21/10.45 (v111(constB105) | v112(constB105)),
% 15.21/10.45 inference(unit_resolution,[status(thm)],[16961, 16960])).
% 15.21/10.45 tff(16963,plain,
% 15.21/10.45 ((~(v108(constB105) <=> (v111(constB105) | v112(constB105)))) | v108(constB105) | (~(v111(constB105) | v112(constB105)))),
% 15.21/10.45 inference(tautology,[status(thm)],[])).
% 15.21/10.45 tff(16964,plain,
% 15.21/10.45 (v108(constB105)),
% 15.21/10.45 inference(unit_resolution,[status(thm)],[16963, 16962, 15643])).
% 15.21/10.45 tff(16965,plain,
% 15.21/10.45 ((~(v110(constB106) <=> v108(constB105))) | v110(constB106) | (~v108(constB105))),
% 15.21/10.45 inference(tautology,[status(thm)],[])).
% 15.21/10.45 tff(16966,plain,
% 15.21/10.45 (v110(constB106)),
% 15.21/10.45 inference(unit_resolution,[status(thm)],[16965, 16964, 15641])).
% 15.21/10.45 tff(16967,plain,
% 15.21/10.45 ((~((~v101(constB106)) | (~v110(constB106)))) | (~v101(constB106)) | (~v110(constB106))),
% 15.21/10.45 inference(tautology,[status(thm)],[])).
% 15.21/10.45 tff(16968,plain,
% 15.21/10.45 (~((~v101(constB106)) | (~v110(constB106)))),
% 15.21/10.45 inference(unit_resolution,[status(thm)],[16967, 16966, 15637])).
% 15.21/10.45 tff(16969,plain,
% 15.21/10.45 ((~(v100(constB106) <=> (~((~v101(constB106)) | (~v110(constB106)))))) | v100(constB106) | ((~v101(constB106)) | (~v110(constB106)))),
% 15.21/10.45 inference(tautology,[status(thm)],[])).
% 15.21/10.45 tff(16970,plain,
% 15.21/10.45 (v100(constB106)),
% 15.21/10.45 inference(unit_resolution,[status(thm)],[16969, 16968, 15606])).
% 15.21/10.45 tff(16971,plain,
% 15.21/10.45 (((~![VarNext: $i] : ((~v100(VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v129(VarNext, B))))) | ((~v100(constB106)) | ![B: $i] : ((~less_3(B)) | (v90(constB106, B) <=> v129(constB106, B))))) <=> ((~![VarNext: $i] : ((~v100(VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v129(VarNext, B))))) | (~v100(constB106)) | ![B: $i] : ((~less_3(B)) | (v90(constB106, B) <=> v129(constB106, B))))),
% 15.21/10.45 inference(rewrite,[status(thm)],[])).
% 15.21/10.45 tff(16972,plain,
% 15.21/10.45 ((~![VarNext: $i] : ((~v100(VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v129(VarNext, B))))) | ((~v100(constB106)) | ![B: $i] : ((~less_3(B)) | (v90(constB106, B) <=> v129(constB106, B))))),
% 15.21/10.45 inference(quant_inst,[status(thm)],[])).
% 15.21/10.45 tff(16973,plain,
% 15.21/10.45 ((~![VarNext: $i] : ((~v100(VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v129(VarNext, B))))) | (~v100(constB106)) | ![B: $i] : ((~less_3(B)) | (v90(constB106, B) <=> v129(constB106, B)))),
% 15.21/10.45 inference(modus_ponens,[status(thm)],[16972, 16971])).
% 15.21/10.45 tff(16974,plain,
% 15.21/10.45 ((~v100(constB106)) | ![B: $i] : ((~less_3(B)) | (v90(constB106, B) <=> v129(constB106, B)))),
% 15.21/10.45 inference(unit_resolution,[status(thm)],[16973, 5134])).
% 15.21/10.45 tff(16975,plain,
% 15.21/10.45 (![B: $i] : ((~less_3(B)) | (v90(constB106, B) <=> v129(constB106, B)))),
% 15.21/10.45 inference(unit_resolution,[status(thm)],[16974, 16970])).
% 15.21/10.45 tff(16976,plain,
% 15.21/10.45 (((~![B: $i] : ((~less_3(B)) | (v90(constB106, B) <=> v129(constB106, B)))) | ((~less_3(bitIndex2)) | (v90(constB106, bitIndex2) <=> v129(constB106, bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v90(constB106, B) <=> v129(constB106, B)))) | (~less_3(bitIndex2)) | (v90(constB106, bitIndex2) <=> v129(constB106, bitIndex2)))),
% 15.21/10.45 inference(rewrite,[status(thm)],[])).
% 15.21/10.45 tff(16977,plain,
% 15.21/10.45 ((~![B: $i] : ((~less_3(B)) | (v90(constB106, B) <=> v129(constB106, B)))) | ((~less_3(bitIndex2)) | (v90(constB106, bitIndex2) <=> v129(constB106, bitIndex2)))),
% 15.21/10.45 inference(quant_inst,[status(thm)],[])).
% 15.21/10.45 tff(16978,plain,
% 15.21/10.45 ((~![B: $i] : ((~less_3(B)) | (v90(constB106, B) <=> v129(constB106, B)))) | (~less_3(bitIndex2)) | (v90(constB106, bitIndex2) <=> v129(constB106, bitIndex2))),
% 15.21/10.45 inference(modus_ponens,[status(thm)],[16977, 16976])).
% 15.21/10.45 tff(16979,plain,
% 15.21/10.45 (v90(constB106, bitIndex2) <=> v129(constB106, bitIndex2)),
% 15.21/10.45 inference(unit_resolution,[status(thm)],[16978, 413, 16975])).
% 15.21/10.45 tff(16980,plain,
% 15.21/10.45 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v129(VarNext, B) <=> v127(VarCurr, B))))) | ((~nextState(constB105, constB106)) | ![B: $i] : ((~less_3(B)) | (v129(constB106, B) <=> v127(constB105, B))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v129(VarNext, B) <=> v127(VarCurr, B))))) | (~nextState(constB105, constB106)) | ![B: $i] : ((~less_3(B)) | (v129(constB106, B) <=> v127(constB105, B))))),
% 15.21/10.45 inference(rewrite,[status(thm)],[])).
% 15.21/10.45 tff(16981,plain,
% 15.21/10.45 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v129(VarNext, B) <=> v127(VarCurr, B))))) | ((~nextState(constB105, constB106)) | ![B: $i] : ((~less_3(B)) | (v129(constB106, B) <=> v127(constB105, B))))),
% 15.21/10.45 inference(quant_inst,[status(thm)],[])).
% 15.21/10.45 tff(16982,plain,
% 15.21/10.45 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v129(VarNext, B) <=> v127(VarCurr, B))))) | (~nextState(constB105, constB106)) | ![B: $i] : ((~less_3(B)) | (v129(constB106, B) <=> v127(constB105, B)))),
% 15.21/10.45 inference(modus_ponens,[status(thm)],[16981, 16980])).
% 15.21/10.45 tff(16983,plain,
% 15.21/10.45 (![B: $i] : ((~less_3(B)) | (v129(constB106, B) <=> v127(constB105, B)))),
% 15.21/10.45 inference(unit_resolution,[status(thm)],[16982, 15602, 5156])).
% 15.21/10.45 tff(16984,plain,
% 15.21/10.45 (((~![B: $i] : ((~less_3(B)) | (v129(constB106, B) <=> v127(constB105, B)))) | ((~less_3(bitIndex2)) | (v129(constB106, bitIndex2) <=> v127(constB105, bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v129(constB106, B) <=> v127(constB105, B)))) | (~less_3(bitIndex2)) | (v129(constB106, bitIndex2) <=> v127(constB105, bitIndex2)))),
% 15.21/10.45 inference(rewrite,[status(thm)],[])).
% 15.21/10.45 tff(16985,plain,
% 15.21/10.45 ((~![B: $i] : ((~less_3(B)) | (v129(constB106, B) <=> v127(constB105, B)))) | ((~less_3(bitIndex2)) | (v129(constB106, bitIndex2) <=> v127(constB105, bitIndex2)))),
% 15.21/10.45 inference(quant_inst,[status(thm)],[])).
% 15.21/10.45 tff(16986,plain,
% 15.21/10.45 ((~![B: $i] : ((~less_3(B)) | (v129(constB106, B) <=> v127(constB105, B)))) | (~less_3(bitIndex2)) | (v129(constB106, bitIndex2) <=> v127(constB105, bitIndex2))),
% 15.21/10.45 inference(modus_ponens,[status(thm)],[16985, 16984])).
% 15.21/10.45 tff(16987,plain,
% 15.21/10.45 (v129(constB106, bitIndex2) <=> v127(constB105, bitIndex2)),
% 15.21/10.45 inference(unit_resolution,[status(thm)],[16986, 413, 16983])).
% 15.21/10.45 tff(16988,plain,
% 15.21/10.45 (((~![VarCurr: $i] : (v111(VarCurr) | ![B: $i] : ((~less_3(B)) | (v127(VarCurr, B) <=> v130(VarCurr, B))))) | (v111(constB105) | ![B: $i] : ((~less_3(B)) | (v127(constB105, B) <=> v130(constB105, B))))) <=> ((~![VarCurr: $i] : (v111(VarCurr) | ![B: $i] : ((~less_3(B)) | (v127(VarCurr, B) <=> v130(VarCurr, B))))) | v111(constB105) | ![B: $i] : ((~less_3(B)) | (v127(constB105, B) <=> v130(constB105, B))))),
% 15.21/10.45 inference(rewrite,[status(thm)],[])).
% 15.21/10.45 tff(16989,plain,
% 15.21/10.45 ((~![VarCurr: $i] : (v111(VarCurr) | ![B: $i] : ((~less_3(B)) | (v127(VarCurr, B) <=> v130(VarCurr, B))))) | (v111(constB105) | ![B: $i] : ((~less_3(B)) | (v127(constB105, B) <=> v130(constB105, B))))),
% 15.21/10.45 inference(quant_inst,[status(thm)],[])).
% 15.21/10.45 tff(16990,plain,
% 15.21/10.45 ((~![VarCurr: $i] : (v111(VarCurr) | ![B: $i] : ((~less_3(B)) | (v127(VarCurr, B) <=> v130(VarCurr, B))))) | v111(constB105) | ![B: $i] : ((~less_3(B)) | (v127(constB105, B) <=> v130(constB105, B)))),
% 15.21/10.45 inference(modus_ponens,[status(thm)],[16989, 16988])).
% 15.21/10.45 tff(16991,plain,
% 15.21/10.45 (![B: $i] : ((~less_3(B)) | (v127(constB105, B) <=> v130(constB105, B)))),
% 15.21/10.45 inference(unit_resolution,[status(thm)],[16990, 5177, 16952])).
% 15.21/10.45 tff(16992,plain,
% 15.21/10.45 (((~![B: $i] : ((~less_3(B)) | (v127(constB105, B) <=> v130(constB105, B)))) | ((~less_3(bitIndex2)) | (v127(constB105, bitIndex2) <=> v130(constB105, bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v127(constB105, B) <=> v130(constB105, B)))) | (~less_3(bitIndex2)) | (v127(constB105, bitIndex2) <=> v130(constB105, bitIndex2)))),
% 15.21/10.45 inference(rewrite,[status(thm)],[])).
% 15.21/10.45 tff(16993,plain,
% 15.21/10.45 ((~![B: $i] : ((~less_3(B)) | (v127(constB105, B) <=> v130(constB105, B)))) | ((~less_3(bitIndex2)) | (v127(constB105, bitIndex2) <=> v130(constB105, bitIndex2)))),
% 15.21/10.45 inference(quant_inst,[status(thm)],[])).
% 15.21/10.45 tff(16994,plain,
% 15.21/10.45 ((~![B: $i] : ((~less_3(B)) | (v127(constB105, B) <=> v130(constB105, B)))) | (~less_3(bitIndex2)) | (v127(constB105, bitIndex2) <=> v130(constB105, bitIndex2))),
% 15.21/10.45 inference(modus_ponens,[status(thm)],[16993, 16992])).
% 15.21/10.45 tff(16995,plain,
% 15.21/10.45 (v127(constB105, bitIndex2) <=> v130(constB105, bitIndex2)),
% 15.21/10.45 inference(unit_resolution,[status(thm)],[16994, 413, 16991])).
% 15.21/10.45 tff(16996,plain,
% 15.21/10.45 ((~![VarCurr: $i] : (v119(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))))) | (v119(constB105) <=> (~(v90(constB105, bitIndex0) | v90(constB105, bitIndex1) | v90(constB105, bitIndex2))))),
% 15.21/10.45 inference(quant_inst,[status(thm)],[])).
% 15.21/10.45 tff(16997,plain,
% 15.21/10.45 (v119(constB105) <=> (~(v90(constB105, bitIndex0) | v90(constB105, bitIndex1) | v90(constB105, bitIndex2)))),
% 15.21/10.45 inference(unit_resolution,[status(thm)],[16996, 4971])).
% 15.21/10.45 tff(16998,plain,
% 15.21/10.45 ((v90(constB105, bitIndex0) | v90(constB105, bitIndex1) | v90(constB105, bitIndex2)) | (~v90(constB105, bitIndex2))),
% 15.21/10.45 inference(tautology,[status(thm)],[])).
% 15.21/10.45 tff(16999,plain,
% 15.21/10.45 (v90(constB105, bitIndex0) | v90(constB105, bitIndex1) | v90(constB105, bitIndex2)),
% 15.21/10.45 inference(unit_resolution,[status(thm)],[16998, 16873])).
% 15.21/10.45 tff(17000,plain,
% 15.21/10.45 ((~(v119(constB105) <=> (~(v90(constB105, bitIndex0) | v90(constB105, bitIndex1) | v90(constB105, bitIndex2))))) | (~v119(constB105)) | (~(v90(constB105, bitIndex0) | v90(constB105, bitIndex1) | v90(constB105, bitIndex2)))),
% 15.21/10.45 inference(tautology,[status(thm)],[])).
% 15.21/10.45 tff(17001,plain,
% 15.21/10.45 (~v119(constB105)),
% 15.21/10.45 inference(unit_resolution,[status(thm)],[17000, 16999, 16997])).
% 15.21/10.45 tff(17002,plain,
% 15.21/10.45 (((~![VarCurr: $i] : (v124(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex2)))))) | (v124(constB105) <=> (~((~v90(constB105, bitIndex2)) | v90(constB105, bitIndex1) | (~v90(constB105, bitIndex0)))))) <=> ((~![VarCurr: $i] : (v124(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex2)))))) | (v124(constB105) <=> (~((~v90(constB105, bitIndex2)) | v90(constB105, bitIndex1) | (~v90(constB105, bitIndex0))))))),
% 15.21/10.45 inference(rewrite,[status(thm)],[])).
% 15.21/10.45 tff(17003,plain,
% 15.21/10.45 ((v124(constB105) <=> (~(v90(constB105, bitIndex1) | (~v90(constB105, bitIndex0)) | (~v90(constB105, bitIndex2))))) <=> (v124(constB105) <=> (~((~v90(constB105, bitIndex2)) | v90(constB105, bitIndex1) | (~v90(constB105, bitIndex0)))))),
% 15.21/10.45 inference(rewrite,[status(thm)],[])).
% 15.21/10.45 tff(17004,plain,
% 15.21/10.45 (((~![VarCurr: $i] : (v124(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex2)))))) | (v124(constB105) <=> (~(v90(constB105, bitIndex1) | (~v90(constB105, bitIndex0)) | (~v90(constB105, bitIndex2)))))) <=> ((~![VarCurr: $i] : (v124(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex2)))))) | (v124(constB105) <=> (~((~v90(constB105, bitIndex2)) | v90(constB105, bitIndex1) | (~v90(constB105, bitIndex0))))))),
% 15.21/10.45 inference(monotonicity,[status(thm)],[17003])).
% 15.21/10.45 tff(17005,plain,
% 15.21/10.45 (((~![VarCurr: $i] : (v124(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex2)))))) | (v124(constB105) <=> (~(v90(constB105, bitIndex1) | (~v90(constB105, bitIndex0)) | (~v90(constB105, bitIndex2)))))) <=> ((~![VarCurr: $i] : (v124(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex2)))))) | (v124(constB105) <=> (~((~v90(constB105, bitIndex2)) | v90(constB105, bitIndex1) | (~v90(constB105, bitIndex0))))))),
% 15.21/10.45 inference(transitivity,[status(thm)],[17004, 17002])).
% 15.21/10.46 tff(17006,plain,
% 15.21/10.46 ((~![VarCurr: $i] : (v124(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex2)))))) | (v124(constB105) <=> (~(v90(constB105, bitIndex1) | (~v90(constB105, bitIndex0)) | (~v90(constB105, bitIndex2)))))),
% 15.21/10.46 inference(quant_inst,[status(thm)],[])).
% 15.21/10.46 tff(17007,plain,
% 15.21/10.46 ((~![VarCurr: $i] : (v124(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex2)))))) | (v124(constB105) <=> (~((~v90(constB105, bitIndex2)) | v90(constB105, bitIndex1) | (~v90(constB105, bitIndex0)))))),
% 15.21/10.46 inference(modus_ponens,[status(thm)],[17006, 17005])).
% 15.21/10.46 tff(17008,plain,
% 15.21/10.46 (v124(constB105) <=> (~((~v90(constB105, bitIndex2)) | v90(constB105, bitIndex1) | (~v90(constB105, bitIndex0))))),
% 15.21/10.46 inference(unit_resolution,[status(thm)],[17007, 5539])).
% 15.21/10.46 tff(17009,plain,
% 15.21/10.46 (((~v90(constB105, bitIndex2)) | v90(constB105, bitIndex1) | (~v90(constB105, bitIndex0))) | (~v90(constB105, bitIndex1))),
% 15.21/10.46 inference(tautology,[status(thm)],[])).
% 15.21/10.46 tff(17010,plain,
% 15.21/10.46 ((~v90(constB105, bitIndex2)) | v90(constB105, bitIndex1) | (~v90(constB105, bitIndex0))),
% 15.21/10.46 inference(unit_resolution,[status(thm)],[17009, 16935])).
% 15.21/10.46 tff(17011,plain,
% 15.21/10.46 ((~(v124(constB105) <=> (~((~v90(constB105, bitIndex2)) | v90(constB105, bitIndex1) | (~v90(constB105, bitIndex0)))))) | (~v124(constB105)) | (~((~v90(constB105, bitIndex2)) | v90(constB105, bitIndex1) | (~v90(constB105, bitIndex0))))),
% 15.21/10.46 inference(tautology,[status(thm)],[])).
% 15.21/10.46 tff(17012,plain,
% 15.21/10.46 (~v124(constB105)),
% 15.21/10.46 inference(unit_resolution,[status(thm)],[17011, 17010, 17008])).
% 15.21/10.46 tff(17013,plain,
% 15.21/10.46 (((~![VarCurr: $i] : (v123(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)))))) | (v123(constB105) <=> (~((~v90(constB105, bitIndex2)) | v90(constB105, bitIndex1) | v90(constB105, bitIndex0))))) <=> ((~![VarCurr: $i] : (v123(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)))))) | (v123(constB105) <=> (~((~v90(constB105, bitIndex2)) | v90(constB105, bitIndex1) | v90(constB105, bitIndex0)))))),
% 15.21/10.46 inference(rewrite,[status(thm)],[])).
% 15.21/10.46 tff(17014,plain,
% 15.21/10.46 ((v123(constB105) <=> (~(v90(constB105, bitIndex0) | v90(constB105, bitIndex1) | (~v90(constB105, bitIndex2))))) <=> (v123(constB105) <=> (~((~v90(constB105, bitIndex2)) | v90(constB105, bitIndex1) | v90(constB105, bitIndex0))))),
% 15.21/10.46 inference(rewrite,[status(thm)],[])).
% 15.21/10.46 tff(17015,plain,
% 15.21/10.46 (((~![VarCurr: $i] : (v123(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)))))) | (v123(constB105) <=> (~(v90(constB105, bitIndex0) | v90(constB105, bitIndex1) | (~v90(constB105, bitIndex2)))))) <=> ((~![VarCurr: $i] : (v123(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)))))) | (v123(constB105) <=> (~((~v90(constB105, bitIndex2)) | v90(constB105, bitIndex1) | v90(constB105, bitIndex0)))))),
% 15.21/10.46 inference(monotonicity,[status(thm)],[17014])).
% 15.21/10.46 tff(17016,plain,
% 15.21/10.46 (((~![VarCurr: $i] : (v123(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)))))) | (v123(constB105) <=> (~(v90(constB105, bitIndex0) | v90(constB105, bitIndex1) | (~v90(constB105, bitIndex2)))))) <=> ((~![VarCurr: $i] : (v123(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)))))) | (v123(constB105) <=> (~((~v90(constB105, bitIndex2)) | v90(constB105, bitIndex1) | v90(constB105, bitIndex0)))))),
% 15.21/10.46 inference(transitivity,[status(thm)],[17015, 17013])).
% 15.21/10.46 tff(17017,plain,
% 15.21/10.46 ((~![VarCurr: $i] : (v123(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)))))) | (v123(constB105) <=> (~(v90(constB105, bitIndex0) | v90(constB105, bitIndex1) | (~v90(constB105, bitIndex2)))))),
% 15.21/10.46 inference(quant_inst,[status(thm)],[])).
% 15.21/10.46 tff(17018,plain,
% 15.21/10.46 ((~![VarCurr: $i] : (v123(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)))))) | (v123(constB105) <=> (~((~v90(constB105, bitIndex2)) | v90(constB105, bitIndex1) | v90(constB105, bitIndex0))))),
% 15.21/10.46 inference(modus_ponens,[status(thm)],[17017, 17016])).
% 15.21/10.46 tff(17019,plain,
% 15.21/10.46 (v123(constB105) <=> (~((~v90(constB105, bitIndex2)) | v90(constB105, bitIndex1) | v90(constB105, bitIndex0)))),
% 15.21/10.46 inference(unit_resolution,[status(thm)],[17018, 621])).
% 15.21/10.46 tff(17020,plain,
% 15.21/10.46 (((~v90(constB105, bitIndex2)) | v90(constB105, bitIndex1) | v90(constB105, bitIndex0)) | (~v90(constB105, bitIndex1))),
% 15.21/10.46 inference(tautology,[status(thm)],[])).
% 15.21/10.46 tff(17021,plain,
% 15.21/10.46 ((~v90(constB105, bitIndex2)) | v90(constB105, bitIndex1) | v90(constB105, bitIndex0)),
% 15.21/10.46 inference(unit_resolution,[status(thm)],[17020, 16935])).
% 15.21/10.46 tff(17022,plain,
% 15.21/10.46 ((~(v123(constB105) <=> (~((~v90(constB105, bitIndex2)) | v90(constB105, bitIndex1) | v90(constB105, bitIndex0))))) | (~v123(constB105)) | (~((~v90(constB105, bitIndex2)) | v90(constB105, bitIndex1) | v90(constB105, bitIndex0)))),
% 15.21/10.46 inference(tautology,[status(thm)],[])).
% 15.21/10.46 tff(17023,plain,
% 15.21/10.46 (~v123(constB105)),
% 15.21/10.46 inference(unit_resolution,[status(thm)],[17022, 17021, 17019])).
% 15.21/10.46 tff(17024,plain,
% 15.21/10.46 (((~![VarCurr: $i] : (v122(VarCurr) <=> (~(v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)))))) | (v122(constB105) <=> (~(v90(constB105, bitIndex2) | (~v90(constB105, bitIndex1)) | (~v90(constB105, bitIndex0)))))) <=> ((~![VarCurr: $i] : (v122(VarCurr) <=> (~(v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)))))) | (v122(constB105) <=> (~(v90(constB105, bitIndex2) | (~v90(constB105, bitIndex1)) | (~v90(constB105, bitIndex0))))))),
% 15.21/10.46 inference(rewrite,[status(thm)],[])).
% 15.21/10.46 tff(17025,plain,
% 15.21/10.46 ((v122(constB105) <=> (~(v90(constB105, bitIndex2) | (~v90(constB105, bitIndex0)) | (~v90(constB105, bitIndex1))))) <=> (v122(constB105) <=> (~(v90(constB105, bitIndex2) | (~v90(constB105, bitIndex1)) | (~v90(constB105, bitIndex0)))))),
% 15.21/10.46 inference(rewrite,[status(thm)],[])).
% 15.21/10.46 tff(17026,plain,
% 15.21/10.46 (((~![VarCurr: $i] : (v122(VarCurr) <=> (~(v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)))))) | (v122(constB105) <=> (~(v90(constB105, bitIndex2) | (~v90(constB105, bitIndex0)) | (~v90(constB105, bitIndex1)))))) <=> ((~![VarCurr: $i] : (v122(VarCurr) <=> (~(v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)))))) | (v122(constB105) <=> (~(v90(constB105, bitIndex2) | (~v90(constB105, bitIndex1)) | (~v90(constB105, bitIndex0))))))),
% 15.21/10.46 inference(monotonicity,[status(thm)],[17025])).
% 15.21/10.46 tff(17027,plain,
% 15.21/10.46 (((~![VarCurr: $i] : (v122(VarCurr) <=> (~(v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)))))) | (v122(constB105) <=> (~(v90(constB105, bitIndex2) | (~v90(constB105, bitIndex0)) | (~v90(constB105, bitIndex1)))))) <=> ((~![VarCurr: $i] : (v122(VarCurr) <=> (~(v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)))))) | (v122(constB105) <=> (~(v90(constB105, bitIndex2) | (~v90(constB105, bitIndex1)) | (~v90(constB105, bitIndex0))))))),
% 15.21/10.46 inference(transitivity,[status(thm)],[17026, 17024])).
% 15.21/10.46 tff(17028,plain,
% 15.21/10.46 ((~![VarCurr: $i] : (v122(VarCurr) <=> (~(v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)))))) | (v122(constB105) <=> (~(v90(constB105, bitIndex2) | (~v90(constB105, bitIndex0)) | (~v90(constB105, bitIndex1)))))),
% 15.21/10.46 inference(quant_inst,[status(thm)],[])).
% 15.21/10.46 tff(17029,plain,
% 15.21/10.46 ((~![VarCurr: $i] : (v122(VarCurr) <=> (~(v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)))))) | (v122(constB105) <=> (~(v90(constB105, bitIndex2) | (~v90(constB105, bitIndex1)) | (~v90(constB105, bitIndex0)))))),
% 15.21/10.46 inference(modus_ponens,[status(thm)],[17028, 17027])).
% 15.21/10.46 tff(17030,plain,
% 15.21/10.46 (v122(constB105) <=> (~(v90(constB105, bitIndex2) | (~v90(constB105, bitIndex1)) | (~v90(constB105, bitIndex0))))),
% 15.21/10.46 inference(unit_resolution,[status(thm)],[17029, 734])).
% 15.21/10.46 tff(17031,plain,
% 15.21/10.46 ((v90(constB105, bitIndex2) | (~v90(constB105, bitIndex1)) | (~v90(constB105, bitIndex0))) | (~v90(constB105, bitIndex2))),
% 15.21/10.46 inference(tautology,[status(thm)],[])).
% 15.21/10.46 tff(17032,plain,
% 15.21/10.46 (v90(constB105, bitIndex2) | (~v90(constB105, bitIndex1)) | (~v90(constB105, bitIndex0))),
% 15.21/10.46 inference(unit_resolution,[status(thm)],[17031, 16873])).
% 15.21/10.46 tff(17033,plain,
% 15.21/10.46 ((~(v122(constB105) <=> (~(v90(constB105, bitIndex2) | (~v90(constB105, bitIndex1)) | (~v90(constB105, bitIndex0)))))) | (~v122(constB105)) | (~(v90(constB105, bitIndex2) | (~v90(constB105, bitIndex1)) | (~v90(constB105, bitIndex0))))),
% 15.21/10.46 inference(tautology,[status(thm)],[])).
% 15.21/10.46 tff(17034,plain,
% 15.21/10.46 (~v122(constB105)),
% 15.21/10.46 inference(unit_resolution,[status(thm)],[17033, 17032, 17030])).
% 15.21/10.46 tff(17035,plain,
% 15.21/10.46 (((~![VarCurr: $i] : (v121(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex1)))))) | (v121(constB105) <=> (~(v90(constB105, bitIndex2) | (~v90(constB105, bitIndex1)) | v90(constB105, bitIndex0))))) <=> ((~![VarCurr: $i] : (v121(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex1)))))) | (v121(constB105) <=> (~(v90(constB105, bitIndex2) | (~v90(constB105, bitIndex1)) | v90(constB105, bitIndex0)))))),
% 15.21/10.46 inference(rewrite,[status(thm)],[])).
% 15.21/10.46 tff(17036,plain,
% 15.21/10.46 ((v121(constB105) <=> (~(v90(constB105, bitIndex0) | v90(constB105, bitIndex2) | (~v90(constB105, bitIndex1))))) <=> (v121(constB105) <=> (~(v90(constB105, bitIndex2) | (~v90(constB105, bitIndex1)) | v90(constB105, bitIndex0))))),
% 15.21/10.46 inference(rewrite,[status(thm)],[])).
% 15.21/10.46 tff(17037,plain,
% 15.21/10.46 (((~![VarCurr: $i] : (v121(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex1)))))) | (v121(constB105) <=> (~(v90(constB105, bitIndex0) | v90(constB105, bitIndex2) | (~v90(constB105, bitIndex1)))))) <=> ((~![VarCurr: $i] : (v121(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex1)))))) | (v121(constB105) <=> (~(v90(constB105, bitIndex2) | (~v90(constB105, bitIndex1)) | v90(constB105, bitIndex0)))))),
% 15.21/10.46 inference(monotonicity,[status(thm)],[17036])).
% 15.21/10.46 tff(17038,plain,
% 15.21/10.46 (((~![VarCurr: $i] : (v121(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex1)))))) | (v121(constB105) <=> (~(v90(constB105, bitIndex0) | v90(constB105, bitIndex2) | (~v90(constB105, bitIndex1)))))) <=> ((~![VarCurr: $i] : (v121(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex1)))))) | (v121(constB105) <=> (~(v90(constB105, bitIndex2) | (~v90(constB105, bitIndex1)) | v90(constB105, bitIndex0)))))),
% 15.21/10.46 inference(transitivity,[status(thm)],[17037, 17035])).
% 15.21/10.46 tff(17039,plain,
% 15.21/10.46 ((~![VarCurr: $i] : (v121(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex1)))))) | (v121(constB105) <=> (~(v90(constB105, bitIndex0) | v90(constB105, bitIndex2) | (~v90(constB105, bitIndex1)))))),
% 15.21/10.46 inference(quant_inst,[status(thm)],[])).
% 15.21/10.46 tff(17040,plain,
% 15.21/10.46 ((~![VarCurr: $i] : (v121(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex1)))))) | (v121(constB105) <=> (~(v90(constB105, bitIndex2) | (~v90(constB105, bitIndex1)) | v90(constB105, bitIndex0))))),
% 15.21/10.46 inference(modus_ponens,[status(thm)],[17039, 17038])).
% 15.21/10.46 tff(17041,plain,
% 15.21/10.46 (v121(constB105) <=> (~(v90(constB105, bitIndex2) | (~v90(constB105, bitIndex1)) | v90(constB105, bitIndex0)))),
% 15.21/10.46 inference(unit_resolution,[status(thm)],[17040, 849])).
% 15.21/10.46 tff(17042,plain,
% 15.21/10.46 ((v90(constB105, bitIndex2) | (~v90(constB105, bitIndex1)) | v90(constB105, bitIndex0)) | (~v90(constB105, bitIndex2))),
% 15.21/10.46 inference(tautology,[status(thm)],[])).
% 15.21/10.46 tff(17043,plain,
% 15.21/10.46 (v90(constB105, bitIndex2) | (~v90(constB105, bitIndex1)) | v90(constB105, bitIndex0)),
% 15.21/10.46 inference(unit_resolution,[status(thm)],[17042, 16873])).
% 15.21/10.46 tff(17044,plain,
% 15.21/10.46 ((~(v121(constB105) <=> (~(v90(constB105, bitIndex2) | (~v90(constB105, bitIndex1)) | v90(constB105, bitIndex0))))) | (~v121(constB105)) | (~(v90(constB105, bitIndex2) | (~v90(constB105, bitIndex1)) | v90(constB105, bitIndex0)))),
% 15.21/10.46 inference(tautology,[status(thm)],[])).
% 15.21/10.46 tff(17045,plain,
% 15.21/10.46 (~v121(constB105)),
% 15.21/10.46 inference(unit_resolution,[status(thm)],[17044, 17043, 17041])).
% 15.21/10.46 tff(17046,plain,
% 15.21/10.46 (((~![VarCurr: $i] : (v120(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)))))) | (v120(constB105) <=> (~(v90(constB105, bitIndex2) | v90(constB105, bitIndex1) | (~v90(constB105, bitIndex0)))))) <=> ((~![VarCurr: $i] : (v120(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)))))) | (v120(constB105) <=> (~(v90(constB105, bitIndex2) | v90(constB105, bitIndex1) | (~v90(constB105, bitIndex0))))))),
% 15.21/10.46 inference(rewrite,[status(thm)],[])).
% 15.21/10.46 tff(17047,plain,
% 15.21/10.46 ((v120(constB105) <=> (~(v90(constB105, bitIndex1) | v90(constB105, bitIndex2) | (~v90(constB105, bitIndex0))))) <=> (v120(constB105) <=> (~(v90(constB105, bitIndex2) | v90(constB105, bitIndex1) | (~v90(constB105, bitIndex0)))))),
% 15.21/10.46 inference(rewrite,[status(thm)],[])).
% 15.21/10.46 tff(17048,plain,
% 15.21/10.46 (((~![VarCurr: $i] : (v120(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)))))) | (v120(constB105) <=> (~(v90(constB105, bitIndex1) | v90(constB105, bitIndex2) | (~v90(constB105, bitIndex0)))))) <=> ((~![VarCurr: $i] : (v120(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)))))) | (v120(constB105) <=> (~(v90(constB105, bitIndex2) | v90(constB105, bitIndex1) | (~v90(constB105, bitIndex0))))))),
% 15.21/10.46 inference(monotonicity,[status(thm)],[17047])).
% 15.21/10.46 tff(17049,plain,
% 15.21/10.46 (((~![VarCurr: $i] : (v120(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)))))) | (v120(constB105) <=> (~(v90(constB105, bitIndex1) | v90(constB105, bitIndex2) | (~v90(constB105, bitIndex0)))))) <=> ((~![VarCurr: $i] : (v120(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)))))) | (v120(constB105) <=> (~(v90(constB105, bitIndex2) | v90(constB105, bitIndex1) | (~v90(constB105, bitIndex0))))))),
% 15.21/10.46 inference(transitivity,[status(thm)],[17048, 17046])).
% 15.21/10.46 tff(17050,plain,
% 15.21/10.46 ((~![VarCurr: $i] : (v120(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)))))) | (v120(constB105) <=> (~(v90(constB105, bitIndex1) | v90(constB105, bitIndex2) | (~v90(constB105, bitIndex0)))))),
% 15.21/10.46 inference(quant_inst,[status(thm)],[])).
% 15.21/10.46 tff(17051,plain,
% 15.21/10.46 ((~![VarCurr: $i] : (v120(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)))))) | (v120(constB105) <=> (~(v90(constB105, bitIndex2) | v90(constB105, bitIndex1) | (~v90(constB105, bitIndex0)))))),
% 15.21/10.46 inference(modus_ponens,[status(thm)],[17050, 17049])).
% 15.21/10.46 tff(17052,plain,
% 15.21/10.46 (v120(constB105) <=> (~(v90(constB105, bitIndex2) | v90(constB105, bitIndex1) | (~v90(constB105, bitIndex0))))),
% 15.21/10.46 inference(unit_resolution,[status(thm)],[17051, 966])).
% 15.21/10.46 tff(17053,plain,
% 15.21/10.46 ((v90(constB105, bitIndex2) | v90(constB105, bitIndex1) | (~v90(constB105, bitIndex0))) | (~v90(constB105, bitIndex2))),
% 15.21/10.46 inference(tautology,[status(thm)],[])).
% 15.21/10.46 tff(17054,plain,
% 15.21/10.46 (v90(constB105, bitIndex2) | v90(constB105, bitIndex1) | (~v90(constB105, bitIndex0))),
% 15.21/10.46 inference(unit_resolution,[status(thm)],[17053, 16873])).
% 15.21/10.46 tff(17055,plain,
% 15.21/10.46 ((~(v120(constB105) <=> (~(v90(constB105, bitIndex2) | v90(constB105, bitIndex1) | (~v90(constB105, bitIndex0)))))) | (~v120(constB105)) | (~(v90(constB105, bitIndex2) | v90(constB105, bitIndex1) | (~v90(constB105, bitIndex0))))),
% 15.21/10.46 inference(tautology,[status(thm)],[])).
% 15.21/10.46 tff(17056,plain,
% 15.21/10.46 (~v120(constB105)),
% 15.21/10.46 inference(unit_resolution,[status(thm)],[17055, 17054, 17052])).
% 15.21/10.46 tff(17057,plain,
% 15.21/10.46 (((~![VarCurr: $i] : (v124(VarCurr) | v123(VarCurr) | v122(VarCurr) | v121(VarCurr) | v120(VarCurr) | v119(VarCurr) | ![B: $i] : ((~less_3(B)) | (v130(VarCurr, B) <=> b001(B))))) | (v119(constB105) | v120(constB105) | v121(constB105) | v122(constB105) | v123(constB105) | v124(constB105) | ![B: $i] : ((~less_3(B)) | (v130(constB105, B) <=> b001(B))))) <=> ((~![VarCurr: $i] : (v124(VarCurr) | v123(VarCurr) | v122(VarCurr) | v121(VarCurr) | v120(VarCurr) | v119(VarCurr) | ![B: $i] : ((~less_3(B)) | (v130(VarCurr, B) <=> b001(B))))) | v119(constB105) | v120(constB105) | v121(constB105) | v122(constB105) | v123(constB105) | v124(constB105) | ![B: $i] : ((~less_3(B)) | (v130(constB105, B) <=> b001(B))))),
% 15.21/10.46 inference(rewrite,[status(thm)],[])).
% 15.21/10.46 tff(17058,plain,
% 15.21/10.46 ((v124(constB105) | v123(constB105) | v122(constB105) | v121(constB105) | v120(constB105) | v119(constB105) | ![B: $i] : ((~less_3(B)) | (v130(constB105, B) <=> b001(B)))) <=> (v119(constB105) | v120(constB105) | v121(constB105) | v122(constB105) | v123(constB105) | v124(constB105) | ![B: $i] : ((~less_3(B)) | (v130(constB105, B) <=> b001(B))))),
% 15.21/10.46 inference(rewrite,[status(thm)],[])).
% 15.21/10.46 tff(17059,plain,
% 15.21/10.46 (((~![VarCurr: $i] : (v124(VarCurr) | v123(VarCurr) | v122(VarCurr) | v121(VarCurr) | v120(VarCurr) | v119(VarCurr) | ![B: $i] : ((~less_3(B)) | (v130(VarCurr, B) <=> b001(B))))) | (v124(constB105) | v123(constB105) | v122(constB105) | v121(constB105) | v120(constB105) | v119(constB105) | ![B: $i] : ((~less_3(B)) | (v130(constB105, B) <=> b001(B))))) <=> ((~![VarCurr: $i] : (v124(VarCurr) | v123(VarCurr) | v122(VarCurr) | v121(VarCurr) | v120(VarCurr) | v119(VarCurr) | ![B: $i] : ((~less_3(B)) | (v130(VarCurr, B) <=> b001(B))))) | (v119(constB105) | v120(constB105) | v121(constB105) | v122(constB105) | v123(constB105) | v124(constB105) | ![B: $i] : ((~less_3(B)) | (v130(constB105, B) <=> b001(B)))))),
% 15.21/10.46 inference(monotonicity,[status(thm)],[17058])).
% 15.21/10.46 tff(17060,plain,
% 15.21/10.46 (((~![VarCurr: $i] : (v124(VarCurr) | v123(VarCurr) | v122(VarCurr) | v121(VarCurr) | v120(VarCurr) | v119(VarCurr) | ![B: $i] : ((~less_3(B)) | (v130(VarCurr, B) <=> b001(B))))) | (v124(constB105) | v123(constB105) | v122(constB105) | v121(constB105) | v120(constB105) | v119(constB105) | ![B: $i] : ((~less_3(B)) | (v130(constB105, B) <=> b001(B))))) <=> ((~![VarCurr: $i] : (v124(VarCurr) | v123(VarCurr) | v122(VarCurr) | v121(VarCurr) | v120(VarCurr) | v119(VarCurr) | ![B: $i] : ((~less_3(B)) | (v130(VarCurr, B) <=> b001(B))))) | v119(constB105) | v120(constB105) | v121(constB105) | v122(constB105) | v123(constB105) | v124(constB105) | ![B: $i] : ((~less_3(B)) | (v130(constB105, B) <=> b001(B))))),
% 15.21/10.46 inference(transitivity,[status(thm)],[17059, 17057])).
% 15.21/10.46 tff(17061,plain,
% 15.21/10.46 ((~![VarCurr: $i] : (v124(VarCurr) | v123(VarCurr) | v122(VarCurr) | v121(VarCurr) | v120(VarCurr) | v119(VarCurr) | ![B: $i] : ((~less_3(B)) | (v130(VarCurr, B) <=> b001(B))))) | (v124(constB105) | v123(constB105) | v122(constB105) | v121(constB105) | v120(constB105) | v119(constB105) | ![B: $i] : ((~less_3(B)) | (v130(constB105, B) <=> b001(B))))),
% 15.21/10.46 inference(quant_inst,[status(thm)],[])).
% 15.21/10.46 tff(17062,plain,
% 15.21/10.46 ((~![VarCurr: $i] : (v124(VarCurr) | v123(VarCurr) | v122(VarCurr) | v121(VarCurr) | v120(VarCurr) | v119(VarCurr) | ![B: $i] : ((~less_3(B)) | (v130(VarCurr, B) <=> b001(B))))) | v119(constB105) | v120(constB105) | v121(constB105) | v122(constB105) | v123(constB105) | v124(constB105) | ![B: $i] : ((~less_3(B)) | (v130(constB105, B) <=> b001(B)))),
% 15.21/10.46 inference(modus_ponens,[status(thm)],[17061, 17060])).
% 15.21/10.46 tff(17063,plain,
% 15.21/10.46 (v119(constB105) | v120(constB105) | v121(constB105) | v122(constB105) | v123(constB105) | v124(constB105) | ![B: $i] : ((~less_3(B)) | (v130(constB105, B) <=> b001(B)))),
% 15.21/10.46 inference(unit_resolution,[status(thm)],[17062, 5610])).
% 15.21/10.46 tff(17064,plain,
% 15.21/10.46 (![B: $i] : ((~less_3(B)) | (v130(constB105, B) <=> b001(B)))),
% 15.21/10.46 inference(unit_resolution,[status(thm)],[17063, 17056, 17045, 17034, 17023, 17012, 17001])).
% 15.21/10.46 tff(17065,plain,
% 15.21/10.46 (((~![B: $i] : ((~less_3(B)) | (v130(constB105, B) <=> b001(B)))) | ((~less_3(bitIndex2)) | (v130(constB105, bitIndex2) <=> b001(bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v130(constB105, B) <=> b001(B)))) | (~less_3(bitIndex2)) | (v130(constB105, bitIndex2) <=> b001(bitIndex2)))),
% 15.21/10.46 inference(rewrite,[status(thm)],[])).
% 15.21/10.46 tff(17066,plain,
% 15.21/10.46 ((~![B: $i] : ((~less_3(B)) | (v130(constB105, B) <=> b001(B)))) | ((~less_3(bitIndex2)) | (v130(constB105, bitIndex2) <=> b001(bitIndex2)))),
% 15.21/10.46 inference(quant_inst,[status(thm)],[])).
% 15.21/10.46 tff(17067,plain,
% 15.21/10.46 ((~![B: $i] : ((~less_3(B)) | (v130(constB105, B) <=> b001(B)))) | (~less_3(bitIndex2)) | (v130(constB105, bitIndex2) <=> b001(bitIndex2))),
% 15.21/10.46 inference(modus_ponens,[status(thm)],[17066, 17065])).
% 15.21/10.46 tff(17068,plain,
% 15.21/10.46 (v130(constB105, bitIndex2) <=> b001(bitIndex2)),
% 15.21/10.46 inference(unit_resolution,[status(thm)],[17067, 413, 17064])).
% 15.21/10.46 tff(17069,plain,
% 15.21/10.46 ((~(v130(constB105, bitIndex2) <=> b001(bitIndex2))) | (~v130(constB105, bitIndex2)) | b001(bitIndex2)),
% 15.21/10.46 inference(tautology,[status(thm)],[])).
% 15.21/10.46 tff(17070,plain,
% 15.21/10.46 ((~(v130(constB105, bitIndex2) <=> b001(bitIndex2))) | (~v130(constB105, bitIndex2))),
% 15.21/10.46 inference(unit_resolution,[status(thm)],[17069, 5625])).
% 15.21/10.46 tff(17071,plain,
% 15.21/10.46 (~v130(constB105, bitIndex2)),
% 15.21/10.46 inference(unit_resolution,[status(thm)],[17070, 17068])).
% 15.21/10.46 tff(17072,plain,
% 15.21/10.46 ((~(v127(constB105, bitIndex2) <=> v130(constB105, bitIndex2))) | (~v127(constB105, bitIndex2)) | v130(constB105, bitIndex2)),
% 15.21/10.46 inference(tautology,[status(thm)],[])).
% 15.21/10.46 tff(17073,plain,
% 15.21/10.46 (~v127(constB105, bitIndex2)),
% 15.21/10.46 inference(unit_resolution,[status(thm)],[17072, 17071, 16995])).
% 15.21/10.46 tff(17074,plain,
% 15.21/10.46 ((~(v129(constB106, bitIndex2) <=> v127(constB105, bitIndex2))) | (~v129(constB106, bitIndex2)) | v127(constB105, bitIndex2)),
% 15.21/10.46 inference(tautology,[status(thm)],[])).
% 15.21/10.46 tff(17075,plain,
% 15.21/10.46 (~v129(constB106, bitIndex2)),
% 15.21/10.46 inference(unit_resolution,[status(thm)],[17074, 17073, 16987])).
% 15.21/10.46 tff(17076,plain,
% 15.21/10.46 ((~(v90(constB106, bitIndex2) <=> v129(constB106, bitIndex2))) | (~v90(constB106, bitIndex2)) | v129(constB106, bitIndex2)),
% 15.21/10.46 inference(tautology,[status(thm)],[])).
% 15.21/10.46 tff(17077,plain,
% 15.21/10.46 (~v90(constB106, bitIndex2)),
% 15.21/10.46 inference(unit_resolution,[status(thm)],[17076, 17075, 16979])).
% 15.21/10.46 tff(17078,plain,
% 15.21/10.46 ((~(v90(constB107, bitIndex2) <=> v90(constB106, bitIndex2))) | (~v90(constB107, bitIndex2)) | v90(constB106, bitIndex2)),
% 15.21/10.46 inference(tautology,[status(thm)],[])).
% 15.21/10.46 tff(17079,plain,
% 15.21/10.46 (~v90(constB107, bitIndex2)),
% 15.21/10.46 inference(unit_resolution,[status(thm)],[17078, 17077, 15599])).
% 15.21/10.46 tff(17080,plain,
% 15.21/10.46 (((~![B: $i] : ((~less_3(B)) | (v90(constB107, B) <=> v90(constB106, B)))) | ((~less_3(bitIndex0)) | (v90(constB107, bitIndex0) <=> v90(constB106, bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v90(constB107, B) <=> v90(constB106, B)))) | (~less_3(bitIndex0)) | (v90(constB107, bitIndex0) <=> v90(constB106, bitIndex0)))),
% 15.21/10.46 inference(rewrite,[status(thm)],[])).
% 15.21/10.46 tff(17081,plain,
% 15.21/10.46 ((~![B: $i] : ((~less_3(B)) | (v90(constB107, B) <=> v90(constB106, B)))) | ((~less_3(bitIndex0)) | (v90(constB107, bitIndex0) <=> v90(constB106, bitIndex0)))),
% 15.21/10.46 inference(quant_inst,[status(thm)],[])).
% 15.21/10.46 tff(17082,plain,
% 15.21/10.46 ((~![B: $i] : ((~less_3(B)) | (v90(constB107, B) <=> v90(constB106, B)))) | (~less_3(bitIndex0)) | (v90(constB107, bitIndex0) <=> v90(constB106, bitIndex0))),
% 15.21/10.46 inference(modus_ponens,[status(thm)],[17081, 17080])).
% 15.21/10.46 tff(17083,plain,
% 15.21/10.46 (v90(constB107, bitIndex0) <=> v90(constB106, bitIndex0)),
% 15.21/10.46 inference(unit_resolution,[status(thm)],[17082, 5004, 15595])).
% 15.21/10.46 tff(17084,plain,
% 15.21/10.46 (((~![B: $i] : ((~less_3(B)) | (v90(constB106, B) <=> v129(constB106, B)))) | ((~less_3(bitIndex0)) | (v90(constB106, bitIndex0) <=> v129(constB106, bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v90(constB106, B) <=> v129(constB106, B)))) | (~less_3(bitIndex0)) | (v90(constB106, bitIndex0) <=> v129(constB106, bitIndex0)))),
% 15.21/10.46 inference(rewrite,[status(thm)],[])).
% 15.21/10.46 tff(17085,plain,
% 15.21/10.46 ((~![B: $i] : ((~less_3(B)) | (v90(constB106, B) <=> v129(constB106, B)))) | ((~less_3(bitIndex0)) | (v90(constB106, bitIndex0) <=> v129(constB106, bitIndex0)))),
% 15.21/10.46 inference(quant_inst,[status(thm)],[])).
% 15.21/10.46 tff(17086,plain,
% 15.21/10.46 ((~![B: $i] : ((~less_3(B)) | (v90(constB106, B) <=> v129(constB106, B)))) | (~less_3(bitIndex0)) | (v90(constB106, bitIndex0) <=> v129(constB106, bitIndex0))),
% 15.21/10.46 inference(modus_ponens,[status(thm)],[17085, 17084])).
% 15.21/10.46 tff(17087,plain,
% 15.21/10.46 (v90(constB106, bitIndex0) <=> v129(constB106, bitIndex0)),
% 15.21/10.46 inference(unit_resolution,[status(thm)],[17086, 5004, 16975])).
% 15.21/10.47 tff(17088,plain,
% 15.21/10.47 (((~![B: $i] : ((~less_3(B)) | (v129(constB106, B) <=> v127(constB105, B)))) | ((~less_3(bitIndex0)) | (v129(constB106, bitIndex0) <=> v127(constB105, bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v129(constB106, B) <=> v127(constB105, B)))) | (~less_3(bitIndex0)) | (v129(constB106, bitIndex0) <=> v127(constB105, bitIndex0)))),
% 15.21/10.47 inference(rewrite,[status(thm)],[])).
% 15.21/10.47 tff(17089,plain,
% 15.21/10.47 ((~![B: $i] : ((~less_3(B)) | (v129(constB106, B) <=> v127(constB105, B)))) | ((~less_3(bitIndex0)) | (v129(constB106, bitIndex0) <=> v127(constB105, bitIndex0)))),
% 15.21/10.47 inference(quant_inst,[status(thm)],[])).
% 15.21/10.47 tff(17090,plain,
% 15.21/10.47 ((~![B: $i] : ((~less_3(B)) | (v129(constB106, B) <=> v127(constB105, B)))) | (~less_3(bitIndex0)) | (v129(constB106, bitIndex0) <=> v127(constB105, bitIndex0))),
% 15.21/10.47 inference(modus_ponens,[status(thm)],[17089, 17088])).
% 15.21/10.47 tff(17091,plain,
% 15.21/10.47 (v129(constB106, bitIndex0) <=> v127(constB105, bitIndex0)),
% 15.21/10.47 inference(unit_resolution,[status(thm)],[17090, 5004, 16983])).
% 15.21/10.47 tff(17092,plain,
% 15.21/10.47 (((~![B: $i] : ((~less_3(B)) | (v127(constB105, B) <=> v130(constB105, B)))) | ((~less_3(bitIndex0)) | (v127(constB105, bitIndex0) <=> v130(constB105, bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v127(constB105, B) <=> v130(constB105, B)))) | (~less_3(bitIndex0)) | (v127(constB105, bitIndex0) <=> v130(constB105, bitIndex0)))),
% 15.21/10.47 inference(rewrite,[status(thm)],[])).
% 15.21/10.47 tff(17093,plain,
% 15.21/10.47 ((~![B: $i] : ((~less_3(B)) | (v127(constB105, B) <=> v130(constB105, B)))) | ((~less_3(bitIndex0)) | (v127(constB105, bitIndex0) <=> v130(constB105, bitIndex0)))),
% 15.21/10.47 inference(quant_inst,[status(thm)],[])).
% 15.21/10.47 tff(17094,plain,
% 15.21/10.47 ((~![B: $i] : ((~less_3(B)) | (v127(constB105, B) <=> v130(constB105, B)))) | (~less_3(bitIndex0)) | (v127(constB105, bitIndex0) <=> v130(constB105, bitIndex0))),
% 15.21/10.47 inference(modus_ponens,[status(thm)],[17093, 17092])).
% 15.21/10.47 tff(17095,plain,
% 15.21/10.47 (v127(constB105, bitIndex0) <=> v130(constB105, bitIndex0)),
% 15.21/10.47 inference(unit_resolution,[status(thm)],[17094, 5004, 16991])).
% 15.21/10.47 tff(17096,plain,
% 15.21/10.47 (((~![B: $i] : ((~less_3(B)) | (v130(constB105, B) <=> b001(B)))) | ((~less_3(bitIndex0)) | (v130(constB105, bitIndex0) <=> b001(bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v130(constB105, B) <=> b001(B)))) | (~less_3(bitIndex0)) | (v130(constB105, bitIndex0) <=> b001(bitIndex0)))),
% 15.21/10.47 inference(rewrite,[status(thm)],[])).
% 15.21/10.47 tff(17097,plain,
% 15.21/10.47 ((~![B: $i] : ((~less_3(B)) | (v130(constB105, B) <=> b001(B)))) | ((~less_3(bitIndex0)) | (v130(constB105, bitIndex0) <=> b001(bitIndex0)))),
% 15.21/10.47 inference(quant_inst,[status(thm)],[])).
% 15.21/10.47 tff(17098,plain,
% 15.21/10.47 ((~![B: $i] : ((~less_3(B)) | (v130(constB105, B) <=> b001(B)))) | (~less_3(bitIndex0)) | (v130(constB105, bitIndex0) <=> b001(bitIndex0))),
% 15.21/10.47 inference(modus_ponens,[status(thm)],[17097, 17096])).
% 15.21/10.47 tff(17099,plain,
% 15.21/10.47 (v130(constB105, bitIndex0) <=> b001(bitIndex0)),
% 15.21/10.47 inference(unit_resolution,[status(thm)],[17098, 5004, 17064])).
% 15.21/10.47 tff(17100,plain,
% 15.21/10.47 ((~(v130(constB105, bitIndex0) <=> b001(bitIndex0))) | v130(constB105, bitIndex0) | (~b001(bitIndex0))),
% 15.21/10.47 inference(tautology,[status(thm)],[])).
% 15.21/10.47 tff(17101,plain,
% 15.21/10.47 ((~(v130(constB105, bitIndex0) <=> b001(bitIndex0))) | v130(constB105, bitIndex0)),
% 15.21/10.47 inference(unit_resolution,[status(thm)],[17100, 5659])).
% 15.21/10.47 tff(17102,plain,
% 15.21/10.47 (v130(constB105, bitIndex0)),
% 15.21/10.47 inference(unit_resolution,[status(thm)],[17101, 17099])).
% 15.21/10.47 tff(17103,plain,
% 15.21/10.47 ((~(v127(constB105, bitIndex0) <=> v130(constB105, bitIndex0))) | v127(constB105, bitIndex0) | (~v130(constB105, bitIndex0))),
% 15.21/10.47 inference(tautology,[status(thm)],[])).
% 15.21/10.47 tff(17104,plain,
% 15.21/10.47 (v127(constB105, bitIndex0)),
% 15.21/10.47 inference(unit_resolution,[status(thm)],[17103, 17102, 17095])).
% 15.21/10.47 tff(17105,plain,
% 15.21/10.47 ((~(v129(constB106, bitIndex0) <=> v127(constB105, bitIndex0))) | v129(constB106, bitIndex0) | (~v127(constB105, bitIndex0))),
% 15.21/10.47 inference(tautology,[status(thm)],[])).
% 15.21/10.47 tff(17106,plain,
% 15.21/10.47 (v129(constB106, bitIndex0)),
% 15.21/10.47 inference(unit_resolution,[status(thm)],[17105, 17104, 17091])).
% 15.21/10.47 tff(17107,plain,
% 15.21/10.47 ((~(v90(constB106, bitIndex0) <=> v129(constB106, bitIndex0))) | v90(constB106, bitIndex0) | (~v129(constB106, bitIndex0))),
% 15.21/10.47 inference(tautology,[status(thm)],[])).
% 15.21/10.47 tff(17108,plain,
% 15.21/10.47 (v90(constB106, bitIndex0)),
% 15.21/10.47 inference(unit_resolution,[status(thm)],[17107, 17106, 17087])).
% 15.21/10.47 tff(17109,plain,
% 15.21/10.47 ((~(v90(constB107, bitIndex0) <=> v90(constB106, bitIndex0))) | v90(constB107, bitIndex0) | (~v90(constB106, bitIndex0))),
% 15.21/10.47 inference(tautology,[status(thm)],[])).
% 15.21/10.47 tff(17110,plain,
% 15.21/10.47 (v90(constB107, bitIndex0)),
% 15.21/10.47 inference(unit_resolution,[status(thm)],[17109, 17108, 17083])).
% 15.21/10.47 tff(17111,plain,
% 15.21/10.47 (((~![B: $i] : ((~less_3(B)) | (v90(constB107, B) <=> v90(constB106, B)))) | ((~less_3(bitIndex1)) | (v90(constB107, bitIndex1) <=> v90(constB106, bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v90(constB107, B) <=> v90(constB106, B)))) | (~less_3(bitIndex1)) | (v90(constB107, bitIndex1) <=> v90(constB106, bitIndex1)))),
% 15.21/10.47 inference(rewrite,[status(thm)],[])).
% 15.21/10.47 tff(17112,plain,
% 15.21/10.47 ((~![B: $i] : ((~less_3(B)) | (v90(constB107, B) <=> v90(constB106, B)))) | ((~less_3(bitIndex1)) | (v90(constB107, bitIndex1) <=> v90(constB106, bitIndex1)))),
% 15.21/10.47 inference(quant_inst,[status(thm)],[])).
% 15.21/10.47 tff(17113,plain,
% 15.21/10.47 ((~![B: $i] : ((~less_3(B)) | (v90(constB107, B) <=> v90(constB106, B)))) | (~less_3(bitIndex1)) | (v90(constB107, bitIndex1) <=> v90(constB106, bitIndex1))),
% 15.21/10.47 inference(modus_ponens,[status(thm)],[17112, 17111])).
% 15.21/10.47 tff(17114,plain,
% 15.21/10.47 (v90(constB107, bitIndex1) <=> v90(constB106, bitIndex1)),
% 15.21/10.47 inference(unit_resolution,[status(thm)],[17113, 5017, 15595])).
% 15.21/10.47 tff(17115,plain,
% 15.21/10.47 (((~![B: $i] : ((~less_3(B)) | (v90(constB106, B) <=> v129(constB106, B)))) | ((~less_3(bitIndex1)) | (v90(constB106, bitIndex1) <=> v129(constB106, bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v90(constB106, B) <=> v129(constB106, B)))) | (~less_3(bitIndex1)) | (v90(constB106, bitIndex1) <=> v129(constB106, bitIndex1)))),
% 15.21/10.47 inference(rewrite,[status(thm)],[])).
% 15.21/10.47 tff(17116,plain,
% 15.21/10.47 ((~![B: $i] : ((~less_3(B)) | (v90(constB106, B) <=> v129(constB106, B)))) | ((~less_3(bitIndex1)) | (v90(constB106, bitIndex1) <=> v129(constB106, bitIndex1)))),
% 15.21/10.47 inference(quant_inst,[status(thm)],[])).
% 15.21/10.47 tff(17117,plain,
% 15.21/10.47 ((~![B: $i] : ((~less_3(B)) | (v90(constB106, B) <=> v129(constB106, B)))) | (~less_3(bitIndex1)) | (v90(constB106, bitIndex1) <=> v129(constB106, bitIndex1))),
% 15.21/10.47 inference(modus_ponens,[status(thm)],[17116, 17115])).
% 15.21/10.47 tff(17118,plain,
% 15.21/10.47 (v90(constB106, bitIndex1) <=> v129(constB106, bitIndex1)),
% 15.21/10.47 inference(unit_resolution,[status(thm)],[17117, 5017, 16975])).
% 15.21/10.47 tff(17119,plain,
% 15.21/10.47 (((~![B: $i] : ((~less_3(B)) | (v129(constB106, B) <=> v127(constB105, B)))) | ((~less_3(bitIndex1)) | (v129(constB106, bitIndex1) <=> v127(constB105, bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v129(constB106, B) <=> v127(constB105, B)))) | (~less_3(bitIndex1)) | (v129(constB106, bitIndex1) <=> v127(constB105, bitIndex1)))),
% 15.21/10.47 inference(rewrite,[status(thm)],[])).
% 15.21/10.47 tff(17120,plain,
% 15.21/10.47 ((~![B: $i] : ((~less_3(B)) | (v129(constB106, B) <=> v127(constB105, B)))) | ((~less_3(bitIndex1)) | (v129(constB106, bitIndex1) <=> v127(constB105, bitIndex1)))),
% 15.21/10.47 inference(quant_inst,[status(thm)],[])).
% 15.21/10.47 tff(17121,plain,
% 15.21/10.47 ((~![B: $i] : ((~less_3(B)) | (v129(constB106, B) <=> v127(constB105, B)))) | (~less_3(bitIndex1)) | (v129(constB106, bitIndex1) <=> v127(constB105, bitIndex1))),
% 15.21/10.47 inference(modus_ponens,[status(thm)],[17120, 17119])).
% 15.21/10.47 tff(17122,plain,
% 15.21/10.47 (v129(constB106, bitIndex1) <=> v127(constB105, bitIndex1)),
% 15.21/10.47 inference(unit_resolution,[status(thm)],[17121, 5017, 16983])).
% 15.21/10.47 tff(17123,plain,
% 15.21/10.47 (((~![B: $i] : ((~less_3(B)) | (v127(constB105, B) <=> v130(constB105, B)))) | ((~less_3(bitIndex1)) | (v127(constB105, bitIndex1) <=> v130(constB105, bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v127(constB105, B) <=> v130(constB105, B)))) | (~less_3(bitIndex1)) | (v127(constB105, bitIndex1) <=> v130(constB105, bitIndex1)))),
% 15.21/10.47 inference(rewrite,[status(thm)],[])).
% 15.21/10.47 tff(17124,plain,
% 15.21/10.47 ((~![B: $i] : ((~less_3(B)) | (v127(constB105, B) <=> v130(constB105, B)))) | ((~less_3(bitIndex1)) | (v127(constB105, bitIndex1) <=> v130(constB105, bitIndex1)))),
% 15.21/10.47 inference(quant_inst,[status(thm)],[])).
% 15.21/10.47 tff(17125,plain,
% 15.21/10.47 ((~![B: $i] : ((~less_3(B)) | (v127(constB105, B) <=> v130(constB105, B)))) | (~less_3(bitIndex1)) | (v127(constB105, bitIndex1) <=> v130(constB105, bitIndex1))),
% 15.21/10.47 inference(modus_ponens,[status(thm)],[17124, 17123])).
% 15.21/10.47 tff(17126,plain,
% 15.21/10.47 (v127(constB105, bitIndex1) <=> v130(constB105, bitIndex1)),
% 15.21/10.47 inference(unit_resolution,[status(thm)],[17125, 5017, 16991])).
% 15.21/10.47 tff(17127,plain,
% 15.21/10.47 (((~![B: $i] : ((~less_3(B)) | (v130(constB105, B) <=> b001(B)))) | ((~less_3(bitIndex1)) | (v130(constB105, bitIndex1) <=> b001(bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v130(constB105, B) <=> b001(B)))) | (~less_3(bitIndex1)) | (v130(constB105, bitIndex1) <=> b001(bitIndex1)))),
% 15.21/10.47 inference(rewrite,[status(thm)],[])).
% 15.21/10.47 tff(17128,plain,
% 15.21/10.47 ((~![B: $i] : ((~less_3(B)) | (v130(constB105, B) <=> b001(B)))) | ((~less_3(bitIndex1)) | (v130(constB105, bitIndex1) <=> b001(bitIndex1)))),
% 15.21/10.47 inference(quant_inst,[status(thm)],[])).
% 15.21/10.47 tff(17129,plain,
% 15.21/10.47 ((~![B: $i] : ((~less_3(B)) | (v130(constB105, B) <=> b001(B)))) | (~less_3(bitIndex1)) | (v130(constB105, bitIndex1) <=> b001(bitIndex1))),
% 15.21/10.47 inference(modus_ponens,[status(thm)],[17128, 17127])).
% 15.21/10.47 tff(17130,plain,
% 15.21/10.47 (v130(constB105, bitIndex1) <=> b001(bitIndex1)),
% 15.21/10.47 inference(unit_resolution,[status(thm)],[17129, 5017, 17064])).
% 15.21/10.47 tff(17131,plain,
% 15.21/10.47 ((~(v130(constB105, bitIndex1) <=> b001(bitIndex1))) | (~v130(constB105, bitIndex1)) | b001(bitIndex1)),
% 15.21/10.47 inference(tautology,[status(thm)],[])).
% 15.21/10.47 tff(17132,plain,
% 15.21/10.47 ((~(v130(constB105, bitIndex1) <=> b001(bitIndex1))) | (~v130(constB105, bitIndex1))),
% 15.21/10.47 inference(unit_resolution,[status(thm)],[17131, 5693])).
% 15.21/10.47 tff(17133,plain,
% 15.21/10.47 (~v130(constB105, bitIndex1)),
% 15.21/10.47 inference(unit_resolution,[status(thm)],[17132, 17130])).
% 15.21/10.47 tff(17134,plain,
% 15.21/10.47 ((~(v127(constB105, bitIndex1) <=> v130(constB105, bitIndex1))) | (~v127(constB105, bitIndex1)) | v130(constB105, bitIndex1)),
% 15.21/10.47 inference(tautology,[status(thm)],[])).
% 15.21/10.47 tff(17135,plain,
% 15.21/10.47 (~v127(constB105, bitIndex1)),
% 15.21/10.47 inference(unit_resolution,[status(thm)],[17134, 17133, 17126])).
% 15.21/10.47 tff(17136,plain,
% 15.21/10.47 ((~(v129(constB106, bitIndex1) <=> v127(constB105, bitIndex1))) | (~v129(constB106, bitIndex1)) | v127(constB105, bitIndex1)),
% 15.21/10.47 inference(tautology,[status(thm)],[])).
% 15.21/10.47 tff(17137,plain,
% 15.21/10.47 (~v129(constB106, bitIndex1)),
% 15.21/10.47 inference(unit_resolution,[status(thm)],[17136, 17135, 17122])).
% 15.21/10.47 tff(17138,plain,
% 15.21/10.47 ((~(v90(constB106, bitIndex1) <=> v129(constB106, bitIndex1))) | (~v90(constB106, bitIndex1)) | v129(constB106, bitIndex1)),
% 15.21/10.47 inference(tautology,[status(thm)],[])).
% 15.21/10.47 tff(17139,plain,
% 15.21/10.47 (~v90(constB106, bitIndex1)),
% 15.21/10.47 inference(unit_resolution,[status(thm)],[17138, 17137, 17118])).
% 15.21/10.47 tff(17140,plain,
% 15.21/10.47 ((~(v90(constB107, bitIndex1) <=> v90(constB106, bitIndex1))) | (~v90(constB107, bitIndex1)) | v90(constB106, bitIndex1)),
% 15.21/10.47 inference(tautology,[status(thm)],[])).
% 15.21/10.47 tff(17141,plain,
% 15.21/10.47 (~v90(constB107, bitIndex1)),
% 15.21/10.47 inference(unit_resolution,[status(thm)],[17140, 17139, 17114])).
% 15.21/10.47 tff(17142,plain,
% 15.21/10.47 ((~(v90(constB107, bitIndex2) | v90(constB107, bitIndex1) | (~v90(constB107, bitIndex0)))) | v90(constB107, bitIndex2) | v90(constB107, bitIndex1) | (~v90(constB107, bitIndex0))),
% 15.21/10.47 inference(tautology,[status(thm)],[])).
% 15.21/10.47 tff(17143,plain,
% 15.21/10.47 (~(v90(constB107, bitIndex2) | v90(constB107, bitIndex1) | (~v90(constB107, bitIndex0)))),
% 15.21/10.47 inference(unit_resolution,[status(thm)],[17142, 17141, 17110, 17079])).
% 15.21/10.47 tff(17144,plain,
% 15.21/10.47 ((~(v120(constB107) <=> (~(v90(constB107, bitIndex2) | v90(constB107, bitIndex1) | (~v90(constB107, bitIndex0)))))) | v120(constB107) | (v90(constB107, bitIndex2) | v90(constB107, bitIndex1) | (~v90(constB107, bitIndex0)))),
% 15.21/10.47 inference(tautology,[status(thm)],[])).
% 15.21/10.47 tff(17145,plain,
% 15.21/10.47 (v120(constB107)),
% 15.21/10.47 inference(unit_resolution,[status(thm)],[17144, 17143, 15567])).
% 15.21/10.47 tff(17146,plain,
% 15.21/10.47 ((v119(constB107) | v120(constB107)) | (~v120(constB107))),
% 15.21/10.47 inference(tautology,[status(thm)],[])).
% 15.21/10.47 tff(17147,plain,
% 15.21/10.47 (v119(constB107) | v120(constB107)),
% 15.21/10.47 inference(unit_resolution,[status(thm)],[17146, 17145])).
% 15.21/10.47 tff(17148,plain,
% 15.21/10.47 ((~(v118(constB107) <=> (v119(constB107) | v120(constB107)))) | v118(constB107) | (~(v119(constB107) | v120(constB107)))),
% 15.21/10.47 inference(tautology,[status(thm)],[])).
% 15.21/10.47 tff(17149,plain,
% 15.21/10.47 (v118(constB107)),
% 15.21/10.47 inference(unit_resolution,[status(thm)],[17148, 17147, 15560])).
% 15.21/10.47 tff(17150,plain,
% 15.21/10.47 ((v118(constB107) | v121(constB107)) | (~v118(constB107))),
% 15.21/10.47 inference(tautology,[status(thm)],[])).
% 15.21/10.47 tff(17151,plain,
% 15.21/10.47 (v118(constB107) | v121(constB107)),
% 15.21/10.47 inference(unit_resolution,[status(thm)],[17150, 17149])).
% 15.21/10.47 tff(17152,plain,
% 15.21/10.47 ((~(v117(constB107) <=> (v118(constB107) | v121(constB107)))) | v117(constB107) | (~(v118(constB107) | v121(constB107)))),
% 15.21/10.47 inference(tautology,[status(thm)],[])).
% 15.21/10.47 tff(17153,plain,
% 15.21/10.47 (v117(constB107)),
% 15.21/10.47 inference(unit_resolution,[status(thm)],[17152, 17151, 15558])).
% 15.21/10.47 tff(17154,plain,
% 15.21/10.47 ((v117(constB107) | v122(constB107)) | (~v117(constB107))),
% 15.21/10.47 inference(tautology,[status(thm)],[])).
% 15.21/10.47 tff(17155,plain,
% 15.21/10.47 (v117(constB107) | v122(constB107)),
% 15.21/10.47 inference(unit_resolution,[status(thm)],[17154, 17153])).
% 15.21/10.47 tff(17156,plain,
% 15.21/10.47 ((~(v116(constB107) <=> (v117(constB107) | v122(constB107)))) | v116(constB107) | (~(v117(constB107) | v122(constB107)))),
% 15.21/10.47 inference(tautology,[status(thm)],[])).
% 15.21/10.47 tff(17157,plain,
% 15.21/10.47 (v116(constB107)),
% 15.21/10.47 inference(unit_resolution,[status(thm)],[17156, 17155, 15556])).
% 15.21/10.47 tff(17158,plain,
% 15.21/10.47 ((v116(constB107) | v123(constB107)) | (~v116(constB107))),
% 15.21/10.47 inference(tautology,[status(thm)],[])).
% 15.21/10.47 tff(17159,plain,
% 15.21/10.47 (v116(constB107) | v123(constB107)),
% 15.21/10.47 inference(unit_resolution,[status(thm)],[17158, 17157])).
% 15.21/10.47 tff(17160,plain,
% 15.21/10.47 ((~(v115(constB107) <=> (v116(constB107) | v123(constB107)))) | v115(constB107) | (~(v116(constB107) | v123(constB107)))),
% 15.21/10.47 inference(tautology,[status(thm)],[])).
% 15.21/10.47 tff(17161,plain,
% 15.21/10.47 (v115(constB107)),
% 15.21/10.47 inference(unit_resolution,[status(thm)],[17160, 17159, 15554])).
% 15.21/10.47 tff(17162,plain,
% 15.21/10.47 ((v115(constB107) | v124(constB107)) | (~v115(constB107))),
% 15.21/10.47 inference(tautology,[status(thm)],[])).
% 15.21/10.47 tff(17163,plain,
% 15.21/10.47 (v115(constB107) | v124(constB107)),
% 15.21/10.47 inference(unit_resolution,[status(thm)],[17162, 17161])).
% 15.21/10.47 tff(17164,plain,
% 15.21/10.47 ((~(v114(constB107) <=> (v115(constB107) | v124(constB107)))) | v114(constB107) | (~(v115(constB107) | v124(constB107)))),
% 15.21/10.47 inference(tautology,[status(thm)],[])).
% 15.21/10.47 tff(17165,plain,
% 15.21/10.47 (v114(constB107)),
% 15.21/10.47 inference(unit_resolution,[status(thm)],[17164, 17163, 15552])).
% 15.21/10.47 tff(17166,plain,
% 15.21/10.47 ((v114(constB107) | v125(constB107)) | (~v114(constB107))),
% 15.21/10.47 inference(tautology,[status(thm)],[])).
% 15.21/10.47 tff(17167,plain,
% 15.21/10.47 (v114(constB107) | v125(constB107)),
% 15.21/10.47 inference(unit_resolution,[status(thm)],[17166, 17165])).
% 15.21/10.47 tff(17168,plain,
% 15.21/10.47 ((~(v113(constB107) <=> (v114(constB107) | v125(constB107)))) | v113(constB107) | (~(v114(constB107) | v125(constB107)))),
% 15.21/10.47 inference(tautology,[status(thm)],[])).
% 15.21/10.47 tff(17169,plain,
% 15.21/10.47 (v113(constB107)),
% 15.21/10.47 inference(unit_resolution,[status(thm)],[17168, 17167, 15550])).
% 15.21/10.47 tff(17170,plain,
% 15.21/10.47 ((~![VarCurr: $i] : ((~v126(VarCurr)) <=> v111(VarCurr))) | ((~v126(constB107)) <=> v111(constB107))),
% 15.21/10.47 inference(quant_inst,[status(thm)],[])).
% 15.21/10.47 tff(17171,plain,
% 15.21/10.47 ((~v126(constB107)) <=> v111(constB107)),
% 15.21/10.47 inference(unit_resolution,[status(thm)],[17170, 5074])).
% 15.21/10.47 tff(17172,plain,
% 15.21/10.47 ((~![VarCurr: $i] : (v111(VarCurr) <=> v26(VarCurr))) | (v111(constB107) <=> v26(constB107))),
% 15.21/10.47 inference(quant_inst,[status(thm)],[])).
% 15.21/10.47 tff(17173,plain,
% 15.21/10.47 (v111(constB107) <=> v26(constB107)),
% 15.21/10.47 inference(unit_resolution,[status(thm)],[17172, 5086])).
% 15.21/10.47 tff(17174,plain,
% 15.21/10.47 ((~![VarCurr: $i] : (~v26(VarCurr))) | (~v26(constB107))),
% 15.21/10.47 inference(quant_inst,[status(thm)],[])).
% 15.21/10.47 tff(17175,plain,
% 15.21/10.47 (~v26(constB107)),
% 15.21/10.47 inference(unit_resolution,[status(thm)],[17174, 5098])).
% 15.21/10.47 tff(17176,plain,
% 15.21/10.47 ((~(v111(constB107) <=> v26(constB107))) | (~v111(constB107)) | v26(constB107)),
% 15.21/10.47 inference(tautology,[status(thm)],[])).
% 15.21/10.47 tff(17177,plain,
% 15.21/10.47 ((~(v111(constB107) <=> v26(constB107))) | (~v111(constB107))),
% 15.21/10.47 inference(unit_resolution,[status(thm)],[17176, 17175])).
% 15.21/10.47 tff(17178,plain,
% 15.21/10.47 (~v111(constB107)),
% 15.21/10.47 inference(unit_resolution,[status(thm)],[17177, 17173])).
% 15.21/10.47 tff(17179,plain,
% 15.21/10.47 ((~((~v126(constB107)) <=> v111(constB107))) | v126(constB107) | v111(constB107)),
% 15.21/10.47 inference(tautology,[status(thm)],[])).
% 15.21/10.47 tff(17180,plain,
% 15.21/10.47 ((~((~v126(constB107)) <=> v111(constB107))) | v126(constB107)),
% 15.21/10.47 inference(unit_resolution,[status(thm)],[17179, 17178])).
% 15.21/10.47 tff(17181,plain,
% 15.21/10.47 (v126(constB107)),
% 15.21/10.47 inference(unit_resolution,[status(thm)],[17180, 17171])).
% 15.21/10.47 tff(17182,plain,
% 15.21/10.47 ((~((~v113(constB107)) | (~v126(constB107)))) | (~v113(constB107)) | (~v126(constB107))),
% 15.21/10.47 inference(tautology,[status(thm)],[])).
% 15.21/10.47 tff(17183,plain,
% 15.21/10.47 ((~((~v113(constB107)) | (~v126(constB107)))) | (~v113(constB107))),
% 15.21/10.47 inference(unit_resolution,[status(thm)],[17182, 17181])).
% 15.21/10.47 tff(17184,plain,
% 15.21/10.47 (~((~v113(constB107)) | (~v126(constB107)))),
% 15.21/10.47 inference(unit_resolution,[status(thm)],[17183, 17169])).
% 15.21/10.47 tff(17185,plain,
% 15.21/10.47 ((~(v112(constB107) <=> (~((~v113(constB107)) | (~v126(constB107)))))) | v112(constB107) | ((~v113(constB107)) | (~v126(constB107)))),
% 15.21/10.47 inference(tautology,[status(thm)],[])).
% 15.21/10.47 tff(17186,plain,
% 15.21/10.47 (v112(constB107)),
% 15.21/10.47 inference(unit_resolution,[status(thm)],[17185, 17184, 15548])).
% 15.21/10.47 tff(17187,plain,
% 15.21/10.47 ((v111(constB107) | v112(constB107)) | (~v112(constB107))),
% 15.21/10.47 inference(tautology,[status(thm)],[])).
% 15.21/10.47 tff(17188,plain,
% 15.21/10.47 (v111(constB107) | v112(constB107)),
% 15.21/10.47 inference(unit_resolution,[status(thm)],[17187, 17186])).
% 15.21/10.47 tff(17189,plain,
% 15.21/10.47 ((~(v108(constB107) <=> (v111(constB107) | v112(constB107)))) | v108(constB107) | (~(v111(constB107) | v112(constB107)))),
% 15.21/10.47 inference(tautology,[status(thm)],[])).
% 15.21/10.47 tff(17190,plain,
% 15.21/10.47 (v108(constB107)),
% 15.21/10.47 inference(unit_resolution,[status(thm)],[17189, 17188, 15546])).
% 15.21/10.47 tff(17191,plain,
% 15.21/10.47 ((~(v110(constB108) <=> v108(constB107))) | v110(constB108) | (~v108(constB107))),
% 15.21/10.47 inference(tautology,[status(thm)],[])).
% 15.21/10.47 tff(17192,plain,
% 15.21/10.47 (v110(constB108)),
% 15.21/10.47 inference(unit_resolution,[status(thm)],[17191, 17190, 15544])).
% 15.21/10.47 tff(17193,plain,
% 15.21/10.47 ((~((~v101(constB108)) | (~v110(constB108)))) | (~v101(constB108)) | (~v110(constB108))),
% 15.21/10.47 inference(tautology,[status(thm)],[])).
% 15.21/10.47 tff(17194,plain,
% 15.21/10.47 (~((~v101(constB108)) | (~v110(constB108)))),
% 15.21/10.47 inference(unit_resolution,[status(thm)],[17193, 17192, 15540])).
% 15.21/10.47 tff(17195,plain,
% 15.21/10.47 ((~(v100(constB108) <=> (~((~v101(constB108)) | (~v110(constB108)))))) | v100(constB108) | ((~v101(constB108)) | (~v110(constB108)))),
% 15.21/10.47 inference(tautology,[status(thm)],[])).
% 15.21/10.47 tff(17196,plain,
% 15.21/10.47 (v100(constB108)),
% 15.21/10.47 inference(unit_resolution,[status(thm)],[17195, 17194, 15509])).
% 15.21/10.47 tff(17197,plain,
% 15.21/10.47 (((~![VarNext: $i] : ((~v100(VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v129(VarNext, B))))) | ((~v100(constB108)) | ![B: $i] : ((~less_3(B)) | (v90(constB108, B) <=> v129(constB108, B))))) <=> ((~![VarNext: $i] : ((~v100(VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v129(VarNext, B))))) | (~v100(constB108)) | ![B: $i] : ((~less_3(B)) | (v90(constB108, B) <=> v129(constB108, B))))),
% 15.21/10.47 inference(rewrite,[status(thm)],[])).
% 15.21/10.47 tff(17198,plain,
% 15.21/10.47 ((~![VarNext: $i] : ((~v100(VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v129(VarNext, B))))) | ((~v100(constB108)) | ![B: $i] : ((~less_3(B)) | (v90(constB108, B) <=> v129(constB108, B))))),
% 15.21/10.47 inference(quant_inst,[status(thm)],[])).
% 15.21/10.47 tff(17199,plain,
% 15.21/10.47 ((~![VarNext: $i] : ((~v100(VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v129(VarNext, B))))) | (~v100(constB108)) | ![B: $i] : ((~less_3(B)) | (v90(constB108, B) <=> v129(constB108, B)))),
% 15.21/10.47 inference(modus_ponens,[status(thm)],[17198, 17197])).
% 15.21/10.47 tff(17200,plain,
% 15.21/10.47 ((~v100(constB108)) | ![B: $i] : ((~less_3(B)) | (v90(constB108, B) <=> v129(constB108, B)))),
% 15.21/10.47 inference(unit_resolution,[status(thm)],[17199, 5134])).
% 15.21/10.47 tff(17201,plain,
% 15.21/10.47 (![B: $i] : ((~less_3(B)) | (v90(constB108, B) <=> v129(constB108, B)))),
% 15.21/10.47 inference(unit_resolution,[status(thm)],[17200, 17196])).
% 15.21/10.47 tff(17202,plain,
% 15.21/10.47 (((~![B: $i] : ((~less_3(B)) | (v90(constB108, B) <=> v129(constB108, B)))) | ((~less_3(bitIndex2)) | (v90(constB108, bitIndex2) <=> v129(constB108, bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v90(constB108, B) <=> v129(constB108, B)))) | (~less_3(bitIndex2)) | (v90(constB108, bitIndex2) <=> v129(constB108, bitIndex2)))),
% 15.21/10.47 inference(rewrite,[status(thm)],[])).
% 15.21/10.47 tff(17203,plain,
% 15.21/10.47 ((~![B: $i] : ((~less_3(B)) | (v90(constB108, B) <=> v129(constB108, B)))) | ((~less_3(bitIndex2)) | (v90(constB108, bitIndex2) <=> v129(constB108, bitIndex2)))),
% 15.21/10.47 inference(quant_inst,[status(thm)],[])).
% 15.21/10.47 tff(17204,plain,
% 15.21/10.47 ((~![B: $i] : ((~less_3(B)) | (v90(constB108, B) <=> v129(constB108, B)))) | (~less_3(bitIndex2)) | (v90(constB108, bitIndex2) <=> v129(constB108, bitIndex2))),
% 15.21/10.47 inference(modus_ponens,[status(thm)],[17203, 17202])).
% 15.21/10.47 tff(17205,plain,
% 15.21/10.47 (v90(constB108, bitIndex2) <=> v129(constB108, bitIndex2)),
% 15.21/10.47 inference(unit_resolution,[status(thm)],[17204, 413, 17201])).
% 15.21/10.47 tff(17206,plain,
% 15.21/10.47 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v129(VarNext, B) <=> v127(VarCurr, B))))) | ((~nextState(constB107, constB108)) | ![B: $i] : ((~less_3(B)) | (v129(constB108, B) <=> v127(constB107, B))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v129(VarNext, B) <=> v127(VarCurr, B))))) | (~nextState(constB107, constB108)) | ![B: $i] : ((~less_3(B)) | (v129(constB108, B) <=> v127(constB107, B))))),
% 15.21/10.47 inference(rewrite,[status(thm)],[])).
% 15.21/10.47 tff(17207,plain,
% 15.21/10.47 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v129(VarNext, B) <=> v127(VarCurr, B))))) | ((~nextState(constB107, constB108)) | ![B: $i] : ((~less_3(B)) | (v129(constB108, B) <=> v127(constB107, B))))),
% 15.21/10.47 inference(quant_inst,[status(thm)],[])).
% 15.21/10.47 tff(17208,plain,
% 15.21/10.47 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v129(VarNext, B) <=> v127(VarCurr, B))))) | (~nextState(constB107, constB108)) | ![B: $i] : ((~less_3(B)) | (v129(constB108, B) <=> v127(constB107, B)))),
% 15.21/10.47 inference(modus_ponens,[status(thm)],[17207, 17206])).
% 15.21/10.47 tff(17209,plain,
% 15.21/10.47 (![B: $i] : ((~less_3(B)) | (v129(constB108, B) <=> v127(constB107, B)))),
% 15.21/10.47 inference(unit_resolution,[status(thm)],[17208, 15505, 5156])).
% 15.21/10.47 tff(17210,plain,
% 15.21/10.47 (((~![B: $i] : ((~less_3(B)) | (v129(constB108, B) <=> v127(constB107, B)))) | ((~less_3(bitIndex2)) | (v129(constB108, bitIndex2) <=> v127(constB107, bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v129(constB108, B) <=> v127(constB107, B)))) | (~less_3(bitIndex2)) | (v129(constB108, bitIndex2) <=> v127(constB107, bitIndex2)))),
% 15.21/10.47 inference(rewrite,[status(thm)],[])).
% 15.21/10.47 tff(17211,plain,
% 15.21/10.47 ((~![B: $i] : ((~less_3(B)) | (v129(constB108, B) <=> v127(constB107, B)))) | ((~less_3(bitIndex2)) | (v129(constB108, bitIndex2) <=> v127(constB107, bitIndex2)))),
% 15.21/10.47 inference(quant_inst,[status(thm)],[])).
% 15.21/10.47 tff(17212,plain,
% 15.21/10.47 ((~![B: $i] : ((~less_3(B)) | (v129(constB108, B) <=> v127(constB107, B)))) | (~less_3(bitIndex2)) | (v129(constB108, bitIndex2) <=> v127(constB107, bitIndex2))),
% 15.21/10.47 inference(modus_ponens,[status(thm)],[17211, 17210])).
% 15.21/10.47 tff(17213,plain,
% 15.21/10.47 (v129(constB108, bitIndex2) <=> v127(constB107, bitIndex2)),
% 15.21/10.47 inference(unit_resolution,[status(thm)],[17212, 413, 17209])).
% 15.21/10.47 tff(17214,plain,
% 15.21/10.47 (((~![VarCurr: $i] : (v111(VarCurr) | ![B: $i] : ((~less_3(B)) | (v127(VarCurr, B) <=> v130(VarCurr, B))))) | (v111(constB107) | ![B: $i] : ((~less_3(B)) | (v127(constB107, B) <=> v130(constB107, B))))) <=> ((~![VarCurr: $i] : (v111(VarCurr) | ![B: $i] : ((~less_3(B)) | (v127(VarCurr, B) <=> v130(VarCurr, B))))) | v111(constB107) | ![B: $i] : ((~less_3(B)) | (v127(constB107, B) <=> v130(constB107, B))))),
% 15.21/10.47 inference(rewrite,[status(thm)],[])).
% 15.21/10.47 tff(17215,plain,
% 15.21/10.47 ((~![VarCurr: $i] : (v111(VarCurr) | ![B: $i] : ((~less_3(B)) | (v127(VarCurr, B) <=> v130(VarCurr, B))))) | (v111(constB107) | ![B: $i] : ((~less_3(B)) | (v127(constB107, B) <=> v130(constB107, B))))),
% 15.21/10.47 inference(quant_inst,[status(thm)],[])).
% 15.21/10.47 tff(17216,plain,
% 15.21/10.47 ((~![VarCurr: $i] : (v111(VarCurr) | ![B: $i] : ((~less_3(B)) | (v127(VarCurr, B) <=> v130(VarCurr, B))))) | v111(constB107) | ![B: $i] : ((~less_3(B)) | (v127(constB107, B) <=> v130(constB107, B)))),
% 15.21/10.47 inference(modus_ponens,[status(thm)],[17215, 17214])).
% 15.21/10.47 tff(17217,plain,
% 15.21/10.47 (![B: $i] : ((~less_3(B)) | (v127(constB107, B) <=> v130(constB107, B)))),
% 15.21/10.47 inference(unit_resolution,[status(thm)],[17216, 5177, 17178])).
% 15.21/10.47 tff(17218,plain,
% 15.21/10.47 (((~![B: $i] : ((~less_3(B)) | (v127(constB107, B) <=> v130(constB107, B)))) | ((~less_3(bitIndex2)) | (v127(constB107, bitIndex2) <=> v130(constB107, bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v127(constB107, B) <=> v130(constB107, B)))) | (~less_3(bitIndex2)) | (v127(constB107, bitIndex2) <=> v130(constB107, bitIndex2)))),
% 15.21/10.47 inference(rewrite,[status(thm)],[])).
% 15.21/10.47 tff(17219,plain,
% 15.21/10.47 ((~![B: $i] : ((~less_3(B)) | (v127(constB107, B) <=> v130(constB107, B)))) | ((~less_3(bitIndex2)) | (v127(constB107, bitIndex2) <=> v130(constB107, bitIndex2)))),
% 15.21/10.47 inference(quant_inst,[status(thm)],[])).
% 15.21/10.47 tff(17220,plain,
% 15.21/10.47 ((~![B: $i] : ((~less_3(B)) | (v127(constB107, B) <=> v130(constB107, B)))) | (~less_3(bitIndex2)) | (v127(constB107, bitIndex2) <=> v130(constB107, bitIndex2))),
% 15.21/10.47 inference(modus_ponens,[status(thm)],[17219, 17218])).
% 15.21/10.47 tff(17221,plain,
% 15.21/10.47 (v127(constB107, bitIndex2) <=> v130(constB107, bitIndex2)),
% 15.21/10.47 inference(unit_resolution,[status(thm)],[17220, 413, 17217])).
% 15.21/10.47 tff(17222,plain,
% 15.21/10.47 (((~![VarCurr: $i] : ((~v120(VarCurr)) | ![B: $i] : ((~less_3(B)) | (v130(VarCurr, B) <=> b010(B))))) | ((~v120(constB107)) | ![B: $i] : ((~less_3(B)) | (v130(constB107, B) <=> b010(B))))) <=> ((~![VarCurr: $i] : ((~v120(VarCurr)) | ![B: $i] : ((~less_3(B)) | (v130(VarCurr, B) <=> b010(B))))) | (~v120(constB107)) | ![B: $i] : ((~less_3(B)) | (v130(constB107, B) <=> b010(B))))),
% 15.21/10.47 inference(rewrite,[status(thm)],[])).
% 15.21/10.47 tff(17223,plain,
% 15.21/10.47 ((~![VarCurr: $i] : ((~v120(VarCurr)) | ![B: $i] : ((~less_3(B)) | (v130(VarCurr, B) <=> b010(B))))) | ((~v120(constB107)) | ![B: $i] : ((~less_3(B)) | (v130(constB107, B) <=> b010(B))))),
% 15.21/10.47 inference(quant_inst,[status(thm)],[])).
% 15.21/10.47 tff(17224,plain,
% 15.21/10.47 ((~![VarCurr: $i] : ((~v120(VarCurr)) | ![B: $i] : ((~less_3(B)) | (v130(VarCurr, B) <=> b010(B))))) | (~v120(constB107)) | ![B: $i] : ((~less_3(B)) | (v130(constB107, B) <=> b010(B)))),
% 15.21/10.47 inference(modus_ponens,[status(thm)],[17223, 17222])).
% 15.21/10.47 tff(17225,plain,
% 15.21/10.47 ((~v120(constB107)) | ![B: $i] : ((~less_3(B)) | (v130(constB107, B) <=> b010(B)))),
% 15.21/10.47 inference(unit_resolution,[status(thm)],[17224, 5797])).
% 15.21/10.47 tff(17226,plain,
% 15.21/10.47 (![B: $i] : ((~less_3(B)) | (v130(constB107, B) <=> b010(B)))),
% 15.21/10.47 inference(unit_resolution,[status(thm)],[17225, 17145])).
% 15.21/10.47 tff(17227,plain,
% 15.21/10.47 (((~![B: $i] : ((~less_3(B)) | (v130(constB107, B) <=> b010(B)))) | ((~less_3(bitIndex2)) | (v130(constB107, bitIndex2) <=> b010(bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v130(constB107, B) <=> b010(B)))) | (~less_3(bitIndex2)) | (v130(constB107, bitIndex2) <=> b010(bitIndex2)))),
% 15.21/10.47 inference(rewrite,[status(thm)],[])).
% 15.21/10.47 tff(17228,plain,
% 15.21/10.47 ((~![B: $i] : ((~less_3(B)) | (v130(constB107, B) <=> b010(B)))) | ((~less_3(bitIndex2)) | (v130(constB107, bitIndex2) <=> b010(bitIndex2)))),
% 15.21/10.47 inference(quant_inst,[status(thm)],[])).
% 15.21/10.47 tff(17229,plain,
% 15.21/10.47 ((~![B: $i] : ((~less_3(B)) | (v130(constB107, B) <=> b010(B)))) | (~less_3(bitIndex2)) | (v130(constB107, bitIndex2) <=> b010(bitIndex2))),
% 15.21/10.47 inference(modus_ponens,[status(thm)],[17228, 17227])).
% 15.21/10.47 tff(17230,plain,
% 15.21/10.47 (v130(constB107, bitIndex2) <=> b010(bitIndex2)),
% 15.21/10.47 inference(unit_resolution,[status(thm)],[17229, 413, 17226])).
% 15.21/10.47 tff(17231,plain,
% 15.21/10.47 ((~(v130(constB107, bitIndex2) <=> b010(bitIndex2))) | (~v130(constB107, bitIndex2)) | b010(bitIndex2)),
% 15.21/10.47 inference(tautology,[status(thm)],[])).
% 15.21/10.47 tff(17232,plain,
% 15.21/10.47 ((~(v130(constB107, bitIndex2) <=> b010(bitIndex2))) | (~v130(constB107, bitIndex2))),
% 15.21/10.47 inference(unit_resolution,[status(thm)],[17231, 5809])).
% 15.21/10.48 tff(17233,plain,
% 15.21/10.48 (~v130(constB107, bitIndex2)),
% 15.21/10.48 inference(unit_resolution,[status(thm)],[17232, 17230])).
% 15.21/10.48 tff(17234,plain,
% 15.21/10.48 ((~(v127(constB107, bitIndex2) <=> v130(constB107, bitIndex2))) | (~v127(constB107, bitIndex2)) | v130(constB107, bitIndex2)),
% 15.21/10.48 inference(tautology,[status(thm)],[])).
% 15.21/10.48 tff(17235,plain,
% 15.21/10.48 (~v127(constB107, bitIndex2)),
% 15.21/10.48 inference(unit_resolution,[status(thm)],[17234, 17233, 17221])).
% 15.21/10.48 tff(17236,plain,
% 15.21/10.48 ((~(v129(constB108, bitIndex2) <=> v127(constB107, bitIndex2))) | (~v129(constB108, bitIndex2)) | v127(constB107, bitIndex2)),
% 15.21/10.48 inference(tautology,[status(thm)],[])).
% 15.21/10.48 tff(17237,plain,
% 15.21/10.48 (~v129(constB108, bitIndex2)),
% 15.21/10.48 inference(unit_resolution,[status(thm)],[17236, 17235, 17213])).
% 15.21/10.48 tff(17238,plain,
% 15.21/10.48 ((~(v90(constB108, bitIndex2) <=> v129(constB108, bitIndex2))) | (~v90(constB108, bitIndex2)) | v129(constB108, bitIndex2)),
% 15.21/10.48 inference(tautology,[status(thm)],[])).
% 15.21/10.48 tff(17239,plain,
% 15.21/10.48 (~v90(constB108, bitIndex2)),
% 15.21/10.48 inference(unit_resolution,[status(thm)],[17238, 17237, 17205])).
% 15.21/10.48 tff(17240,plain,
% 15.21/10.48 ((~(v90(constB109, bitIndex2) <=> v90(constB108, bitIndex2))) | (~v90(constB109, bitIndex2)) | v90(constB108, bitIndex2)),
% 15.21/10.48 inference(tautology,[status(thm)],[])).
% 15.21/10.48 tff(17241,plain,
% 15.21/10.48 (~v90(constB109, bitIndex2)),
% 15.21/10.48 inference(unit_resolution,[status(thm)],[17240, 17239, 15502])).
% 15.21/10.48 tff(17242,plain,
% 15.21/10.48 (((~![B: $i] : ((~less_3(B)) | (v90(constB109, B) <=> v90(constB108, B)))) | ((~less_3(bitIndex0)) | (v90(constB109, bitIndex0) <=> v90(constB108, bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v90(constB109, B) <=> v90(constB108, B)))) | (~less_3(bitIndex0)) | (v90(constB109, bitIndex0) <=> v90(constB108, bitIndex0)))),
% 15.21/10.48 inference(rewrite,[status(thm)],[])).
% 15.21/10.48 tff(17243,plain,
% 15.21/10.48 ((~![B: $i] : ((~less_3(B)) | (v90(constB109, B) <=> v90(constB108, B)))) | ((~less_3(bitIndex0)) | (v90(constB109, bitIndex0) <=> v90(constB108, bitIndex0)))),
% 15.21/10.48 inference(quant_inst,[status(thm)],[])).
% 15.21/10.48 tff(17244,plain,
% 15.21/10.48 ((~![B: $i] : ((~less_3(B)) | (v90(constB109, B) <=> v90(constB108, B)))) | (~less_3(bitIndex0)) | (v90(constB109, bitIndex0) <=> v90(constB108, bitIndex0))),
% 15.21/10.48 inference(modus_ponens,[status(thm)],[17243, 17242])).
% 15.21/10.48 tff(17245,plain,
% 15.21/10.48 (v90(constB109, bitIndex0) <=> v90(constB108, bitIndex0)),
% 15.21/10.48 inference(unit_resolution,[status(thm)],[17244, 5004, 15498])).
% 15.21/10.48 tff(17246,plain,
% 15.21/10.48 (((~![B: $i] : ((~less_3(B)) | (v90(constB108, B) <=> v129(constB108, B)))) | ((~less_3(bitIndex0)) | (v90(constB108, bitIndex0) <=> v129(constB108, bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v90(constB108, B) <=> v129(constB108, B)))) | (~less_3(bitIndex0)) | (v90(constB108, bitIndex0) <=> v129(constB108, bitIndex0)))),
% 15.21/10.48 inference(rewrite,[status(thm)],[])).
% 15.21/10.48 tff(17247,plain,
% 15.21/10.48 ((~![B: $i] : ((~less_3(B)) | (v90(constB108, B) <=> v129(constB108, B)))) | ((~less_3(bitIndex0)) | (v90(constB108, bitIndex0) <=> v129(constB108, bitIndex0)))),
% 15.21/10.48 inference(quant_inst,[status(thm)],[])).
% 15.21/10.48 tff(17248,plain,
% 15.21/10.48 ((~![B: $i] : ((~less_3(B)) | (v90(constB108, B) <=> v129(constB108, B)))) | (~less_3(bitIndex0)) | (v90(constB108, bitIndex0) <=> v129(constB108, bitIndex0))),
% 15.21/10.48 inference(modus_ponens,[status(thm)],[17247, 17246])).
% 15.21/10.48 tff(17249,plain,
% 15.21/10.48 (v90(constB108, bitIndex0) <=> v129(constB108, bitIndex0)),
% 15.21/10.48 inference(unit_resolution,[status(thm)],[17248, 5004, 17201])).
% 15.21/10.48 tff(17250,plain,
% 15.21/10.48 (((~![B: $i] : ((~less_3(B)) | (v129(constB108, B) <=> v127(constB107, B)))) | ((~less_3(bitIndex0)) | (v129(constB108, bitIndex0) <=> v127(constB107, bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v129(constB108, B) <=> v127(constB107, B)))) | (~less_3(bitIndex0)) | (v129(constB108, bitIndex0) <=> v127(constB107, bitIndex0)))),
% 15.21/10.48 inference(rewrite,[status(thm)],[])).
% 15.21/10.48 tff(17251,plain,
% 15.21/10.48 ((~![B: $i] : ((~less_3(B)) | (v129(constB108, B) <=> v127(constB107, B)))) | ((~less_3(bitIndex0)) | (v129(constB108, bitIndex0) <=> v127(constB107, bitIndex0)))),
% 15.21/10.48 inference(quant_inst,[status(thm)],[])).
% 15.21/10.48 tff(17252,plain,
% 15.21/10.48 ((~![B: $i] : ((~less_3(B)) | (v129(constB108, B) <=> v127(constB107, B)))) | (~less_3(bitIndex0)) | (v129(constB108, bitIndex0) <=> v127(constB107, bitIndex0))),
% 15.21/10.48 inference(modus_ponens,[status(thm)],[17251, 17250])).
% 15.21/10.48 tff(17253,plain,
% 15.21/10.48 (v129(constB108, bitIndex0) <=> v127(constB107, bitIndex0)),
% 15.21/10.48 inference(unit_resolution,[status(thm)],[17252, 5004, 17209])).
% 15.21/10.48 tff(17254,plain,
% 15.21/10.48 (((~![B: $i] : ((~less_3(B)) | (v127(constB107, B) <=> v130(constB107, B)))) | ((~less_3(bitIndex0)) | (v127(constB107, bitIndex0) <=> v130(constB107, bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v127(constB107, B) <=> v130(constB107, B)))) | (~less_3(bitIndex0)) | (v127(constB107, bitIndex0) <=> v130(constB107, bitIndex0)))),
% 15.21/10.48 inference(rewrite,[status(thm)],[])).
% 15.21/10.48 tff(17255,plain,
% 15.21/10.48 ((~![B: $i] : ((~less_3(B)) | (v127(constB107, B) <=> v130(constB107, B)))) | ((~less_3(bitIndex0)) | (v127(constB107, bitIndex0) <=> v130(constB107, bitIndex0)))),
% 15.21/10.48 inference(quant_inst,[status(thm)],[])).
% 15.21/10.48 tff(17256,plain,
% 15.21/10.48 ((~![B: $i] : ((~less_3(B)) | (v127(constB107, B) <=> v130(constB107, B)))) | (~less_3(bitIndex0)) | (v127(constB107, bitIndex0) <=> v130(constB107, bitIndex0))),
% 15.21/10.48 inference(modus_ponens,[status(thm)],[17255, 17254])).
% 15.21/10.48 tff(17257,plain,
% 15.21/10.48 (v127(constB107, bitIndex0) <=> v130(constB107, bitIndex0)),
% 15.21/10.48 inference(unit_resolution,[status(thm)],[17256, 5004, 17217])).
% 15.21/10.48 tff(17258,plain,
% 15.21/10.48 (((~![B: $i] : ((~less_3(B)) | (v130(constB107, B) <=> b010(B)))) | ((~less_3(bitIndex0)) | (v130(constB107, bitIndex0) <=> b010(bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v130(constB107, B) <=> b010(B)))) | (~less_3(bitIndex0)) | (v130(constB107, bitIndex0) <=> b010(bitIndex0)))),
% 15.21/10.48 inference(rewrite,[status(thm)],[])).
% 15.21/10.48 tff(17259,plain,
% 15.21/10.48 ((~![B: $i] : ((~less_3(B)) | (v130(constB107, B) <=> b010(B)))) | ((~less_3(bitIndex0)) | (v130(constB107, bitIndex0) <=> b010(bitIndex0)))),
% 15.21/10.48 inference(quant_inst,[status(thm)],[])).
% 15.21/10.48 tff(17260,plain,
% 15.21/10.48 ((~![B: $i] : ((~less_3(B)) | (v130(constB107, B) <=> b010(B)))) | (~less_3(bitIndex0)) | (v130(constB107, bitIndex0) <=> b010(bitIndex0))),
% 15.21/10.48 inference(modus_ponens,[status(thm)],[17259, 17258])).
% 15.21/10.48 tff(17261,plain,
% 15.21/10.48 (v130(constB107, bitIndex0) <=> b010(bitIndex0)),
% 15.21/10.48 inference(unit_resolution,[status(thm)],[17260, 5004, 17226])).
% 15.21/10.48 tff(17262,plain,
% 15.21/10.48 ((~(v130(constB107, bitIndex0) <=> b010(bitIndex0))) | (~v130(constB107, bitIndex0)) | b010(bitIndex0)),
% 15.21/10.48 inference(tautology,[status(thm)],[])).
% 15.21/10.48 tff(17263,plain,
% 15.21/10.48 ((~(v130(constB107, bitIndex0) <=> b010(bitIndex0))) | (~v130(constB107, bitIndex0))),
% 15.21/10.48 inference(unit_resolution,[status(thm)],[17262, 5843])).
% 15.21/10.48 tff(17264,plain,
% 15.21/10.48 (~v130(constB107, bitIndex0)),
% 15.21/10.48 inference(unit_resolution,[status(thm)],[17263, 17261])).
% 15.21/10.48 tff(17265,plain,
% 15.21/10.48 ((~(v127(constB107, bitIndex0) <=> v130(constB107, bitIndex0))) | (~v127(constB107, bitIndex0)) | v130(constB107, bitIndex0)),
% 15.21/10.48 inference(tautology,[status(thm)],[])).
% 15.21/10.48 tff(17266,plain,
% 15.21/10.48 (~v127(constB107, bitIndex0)),
% 15.21/10.48 inference(unit_resolution,[status(thm)],[17265, 17264, 17257])).
% 15.21/10.48 tff(17267,plain,
% 15.21/10.48 ((~(v129(constB108, bitIndex0) <=> v127(constB107, bitIndex0))) | (~v129(constB108, bitIndex0)) | v127(constB107, bitIndex0)),
% 15.21/10.48 inference(tautology,[status(thm)],[])).
% 15.21/10.48 tff(17268,plain,
% 15.21/10.48 (~v129(constB108, bitIndex0)),
% 15.21/10.48 inference(unit_resolution,[status(thm)],[17267, 17266, 17253])).
% 15.21/10.48 tff(17269,plain,
% 15.21/10.48 ((~(v90(constB108, bitIndex0) <=> v129(constB108, bitIndex0))) | (~v90(constB108, bitIndex0)) | v129(constB108, bitIndex0)),
% 15.21/10.48 inference(tautology,[status(thm)],[])).
% 15.21/10.48 tff(17270,plain,
% 15.21/10.48 (~v90(constB108, bitIndex0)),
% 15.21/10.48 inference(unit_resolution,[status(thm)],[17269, 17268, 17249])).
% 15.21/10.48 tff(17271,plain,
% 15.21/10.48 ((~(v90(constB109, bitIndex0) <=> v90(constB108, bitIndex0))) | (~v90(constB109, bitIndex0)) | v90(constB108, bitIndex0)),
% 15.21/10.48 inference(tautology,[status(thm)],[])).
% 15.21/10.48 tff(17272,plain,
% 15.21/10.48 (~v90(constB109, bitIndex0)),
% 15.21/10.48 inference(unit_resolution,[status(thm)],[17271, 17270, 17245])).
% 15.21/10.48 tff(17273,plain,
% 15.21/10.48 (((~![B: $i] : ((~less_3(B)) | (v90(constB109, B) <=> v90(constB108, B)))) | ((~less_3(bitIndex1)) | (v90(constB109, bitIndex1) <=> v90(constB108, bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v90(constB109, B) <=> v90(constB108, B)))) | (~less_3(bitIndex1)) | (v90(constB109, bitIndex1) <=> v90(constB108, bitIndex1)))),
% 15.21/10.48 inference(rewrite,[status(thm)],[])).
% 15.21/10.48 tff(17274,plain,
% 15.21/10.48 ((~![B: $i] : ((~less_3(B)) | (v90(constB109, B) <=> v90(constB108, B)))) | ((~less_3(bitIndex1)) | (v90(constB109, bitIndex1) <=> v90(constB108, bitIndex1)))),
% 15.21/10.48 inference(quant_inst,[status(thm)],[])).
% 15.21/10.48 tff(17275,plain,
% 15.21/10.48 ((~![B: $i] : ((~less_3(B)) | (v90(constB109, B) <=> v90(constB108, B)))) | (~less_3(bitIndex1)) | (v90(constB109, bitIndex1) <=> v90(constB108, bitIndex1))),
% 15.21/10.48 inference(modus_ponens,[status(thm)],[17274, 17273])).
% 15.21/10.48 tff(17276,plain,
% 15.21/10.48 (v90(constB109, bitIndex1) <=> v90(constB108, bitIndex1)),
% 15.21/10.48 inference(unit_resolution,[status(thm)],[17275, 5017, 15498])).
% 15.21/10.48 tff(17277,plain,
% 15.21/10.48 (((~![B: $i] : ((~less_3(B)) | (v90(constB108, B) <=> v129(constB108, B)))) | ((~less_3(bitIndex1)) | (v90(constB108, bitIndex1) <=> v129(constB108, bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v90(constB108, B) <=> v129(constB108, B)))) | (~less_3(bitIndex1)) | (v90(constB108, bitIndex1) <=> v129(constB108, bitIndex1)))),
% 15.21/10.48 inference(rewrite,[status(thm)],[])).
% 15.21/10.48 tff(17278,plain,
% 15.21/10.48 ((~![B: $i] : ((~less_3(B)) | (v90(constB108, B) <=> v129(constB108, B)))) | ((~less_3(bitIndex1)) | (v90(constB108, bitIndex1) <=> v129(constB108, bitIndex1)))),
% 15.21/10.48 inference(quant_inst,[status(thm)],[])).
% 15.21/10.48 tff(17279,plain,
% 15.21/10.48 ((~![B: $i] : ((~less_3(B)) | (v90(constB108, B) <=> v129(constB108, B)))) | (~less_3(bitIndex1)) | (v90(constB108, bitIndex1) <=> v129(constB108, bitIndex1))),
% 15.21/10.48 inference(modus_ponens,[status(thm)],[17278, 17277])).
% 15.21/10.48 tff(17280,plain,
% 15.21/10.48 (v90(constB108, bitIndex1) <=> v129(constB108, bitIndex1)),
% 15.21/10.48 inference(unit_resolution,[status(thm)],[17279, 5017, 17201])).
% 15.21/10.48 tff(17281,plain,
% 15.21/10.48 (((~![B: $i] : ((~less_3(B)) | (v129(constB108, B) <=> v127(constB107, B)))) | ((~less_3(bitIndex1)) | (v129(constB108, bitIndex1) <=> v127(constB107, bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v129(constB108, B) <=> v127(constB107, B)))) | (~less_3(bitIndex1)) | (v129(constB108, bitIndex1) <=> v127(constB107, bitIndex1)))),
% 15.21/10.48 inference(rewrite,[status(thm)],[])).
% 15.21/10.48 tff(17282,plain,
% 15.21/10.48 ((~![B: $i] : ((~less_3(B)) | (v129(constB108, B) <=> v127(constB107, B)))) | ((~less_3(bitIndex1)) | (v129(constB108, bitIndex1) <=> v127(constB107, bitIndex1)))),
% 15.21/10.48 inference(quant_inst,[status(thm)],[])).
% 15.21/10.48 tff(17283,plain,
% 15.21/10.48 ((~![B: $i] : ((~less_3(B)) | (v129(constB108, B) <=> v127(constB107, B)))) | (~less_3(bitIndex1)) | (v129(constB108, bitIndex1) <=> v127(constB107, bitIndex1))),
% 15.21/10.48 inference(modus_ponens,[status(thm)],[17282, 17281])).
% 15.21/10.48 tff(17284,plain,
% 15.21/10.48 (v129(constB108, bitIndex1) <=> v127(constB107, bitIndex1)),
% 15.21/10.48 inference(unit_resolution,[status(thm)],[17283, 5017, 17209])).
% 15.21/10.48 tff(17285,plain,
% 15.21/10.48 (((~![B: $i] : ((~less_3(B)) | (v127(constB107, B) <=> v130(constB107, B)))) | ((~less_3(bitIndex1)) | (v127(constB107, bitIndex1) <=> v130(constB107, bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v127(constB107, B) <=> v130(constB107, B)))) | (~less_3(bitIndex1)) | (v127(constB107, bitIndex1) <=> v130(constB107, bitIndex1)))),
% 15.21/10.48 inference(rewrite,[status(thm)],[])).
% 15.21/10.48 tff(17286,plain,
% 15.21/10.48 ((~![B: $i] : ((~less_3(B)) | (v127(constB107, B) <=> v130(constB107, B)))) | ((~less_3(bitIndex1)) | (v127(constB107, bitIndex1) <=> v130(constB107, bitIndex1)))),
% 15.21/10.48 inference(quant_inst,[status(thm)],[])).
% 15.21/10.48 tff(17287,plain,
% 15.21/10.48 ((~![B: $i] : ((~less_3(B)) | (v127(constB107, B) <=> v130(constB107, B)))) | (~less_3(bitIndex1)) | (v127(constB107, bitIndex1) <=> v130(constB107, bitIndex1))),
% 15.21/10.48 inference(modus_ponens,[status(thm)],[17286, 17285])).
% 15.21/10.48 tff(17288,plain,
% 15.21/10.48 (v127(constB107, bitIndex1) <=> v130(constB107, bitIndex1)),
% 15.21/10.48 inference(unit_resolution,[status(thm)],[17287, 5017, 17217])).
% 15.21/10.48 tff(17289,plain,
% 15.21/10.48 (((~![B: $i] : ((~less_3(B)) | (v130(constB107, B) <=> b010(B)))) | ((~less_3(bitIndex1)) | (v130(constB107, bitIndex1) <=> b010(bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v130(constB107, B) <=> b010(B)))) | (~less_3(bitIndex1)) | (v130(constB107, bitIndex1) <=> b010(bitIndex1)))),
% 15.28/10.48 inference(rewrite,[status(thm)],[])).
% 15.28/10.48 tff(17290,plain,
% 15.28/10.48 ((~![B: $i] : ((~less_3(B)) | (v130(constB107, B) <=> b010(B)))) | ((~less_3(bitIndex1)) | (v130(constB107, bitIndex1) <=> b010(bitIndex1)))),
% 15.28/10.48 inference(quant_inst,[status(thm)],[])).
% 15.28/10.48 tff(17291,plain,
% 15.28/10.48 ((~![B: $i] : ((~less_3(B)) | (v130(constB107, B) <=> b010(B)))) | (~less_3(bitIndex1)) | (v130(constB107, bitIndex1) <=> b010(bitIndex1))),
% 15.28/10.48 inference(modus_ponens,[status(thm)],[17290, 17289])).
% 15.28/10.48 tff(17292,plain,
% 15.28/10.48 (v130(constB107, bitIndex1) <=> b010(bitIndex1)),
% 15.28/10.48 inference(unit_resolution,[status(thm)],[17291, 5017, 17226])).
% 15.28/10.48 tff(17293,plain,
% 15.28/10.48 ((~(v130(constB107, bitIndex1) <=> b010(bitIndex1))) | v130(constB107, bitIndex1) | (~b010(bitIndex1))),
% 15.28/10.48 inference(tautology,[status(thm)],[])).
% 15.28/10.48 tff(17294,plain,
% 15.28/10.48 ((~(v130(constB107, bitIndex1) <=> b010(bitIndex1))) | v130(constB107, bitIndex1)),
% 15.28/10.48 inference(unit_resolution,[status(thm)],[17293, 5877])).
% 15.28/10.48 tff(17295,plain,
% 15.28/10.48 (v130(constB107, bitIndex1)),
% 15.28/10.48 inference(unit_resolution,[status(thm)],[17294, 17292])).
% 15.28/10.48 tff(17296,plain,
% 15.28/10.48 ((~(v127(constB107, bitIndex1) <=> v130(constB107, bitIndex1))) | v127(constB107, bitIndex1) | (~v130(constB107, bitIndex1))),
% 15.28/10.48 inference(tautology,[status(thm)],[])).
% 15.28/10.48 tff(17297,plain,
% 15.28/10.48 (v127(constB107, bitIndex1)),
% 15.28/10.48 inference(unit_resolution,[status(thm)],[17296, 17295, 17288])).
% 15.28/10.48 tff(17298,plain,
% 15.28/10.48 ((~(v129(constB108, bitIndex1) <=> v127(constB107, bitIndex1))) | v129(constB108, bitIndex1) | (~v127(constB107, bitIndex1))),
% 15.28/10.48 inference(tautology,[status(thm)],[])).
% 15.28/10.48 tff(17299,plain,
% 15.28/10.48 (v129(constB108, bitIndex1)),
% 15.28/10.48 inference(unit_resolution,[status(thm)],[17298, 17297, 17284])).
% 15.28/10.48 tff(17300,plain,
% 15.28/10.48 ((~(v90(constB108, bitIndex1) <=> v129(constB108, bitIndex1))) | v90(constB108, bitIndex1) | (~v129(constB108, bitIndex1))),
% 15.28/10.48 inference(tautology,[status(thm)],[])).
% 15.28/10.48 tff(17301,plain,
% 15.28/10.48 (v90(constB108, bitIndex1)),
% 15.28/10.48 inference(unit_resolution,[status(thm)],[17300, 17299, 17280])).
% 15.28/10.48 tff(17302,plain,
% 15.28/10.48 ((~(v90(constB109, bitIndex1) <=> v90(constB108, bitIndex1))) | v90(constB109, bitIndex1) | (~v90(constB108, bitIndex1))),
% 15.28/10.48 inference(tautology,[status(thm)],[])).
% 15.28/10.48 tff(17303,plain,
% 15.28/10.48 (v90(constB109, bitIndex1)),
% 15.28/10.48 inference(unit_resolution,[status(thm)],[17302, 17301, 17276])).
% 15.28/10.48 tff(17304,plain,
% 15.28/10.48 ((~(v90(constB109, bitIndex2) | (~v90(constB109, bitIndex1)) | v90(constB109, bitIndex0))) | v90(constB109, bitIndex2) | (~v90(constB109, bitIndex1)) | v90(constB109, bitIndex0)),
% 15.28/10.48 inference(tautology,[status(thm)],[])).
% 15.28/10.48 tff(17305,plain,
% 15.28/10.48 (~(v90(constB109, bitIndex2) | (~v90(constB109, bitIndex1)) | v90(constB109, bitIndex0))),
% 15.28/10.48 inference(unit_resolution,[status(thm)],[17304, 17303, 17272, 17241])).
% 15.28/10.48 tff(17306,plain,
% 15.28/10.48 ((~(v121(constB109) <=> (~(v90(constB109, bitIndex2) | (~v90(constB109, bitIndex1)) | v90(constB109, bitIndex0))))) | v121(constB109) | (v90(constB109, bitIndex2) | (~v90(constB109, bitIndex1)) | v90(constB109, bitIndex0))),
% 15.28/10.48 inference(tautology,[status(thm)],[])).
% 15.28/10.48 tff(17307,plain,
% 15.28/10.48 (v121(constB109)),
% 15.28/10.48 inference(unit_resolution,[status(thm)],[17306, 17305, 15470])).
% 15.28/10.48 tff(17308,plain,
% 15.28/10.48 ((v118(constB109) | v121(constB109)) | (~v121(constB109))),
% 15.28/10.48 inference(tautology,[status(thm)],[])).
% 15.28/10.48 tff(17309,plain,
% 15.28/10.48 (v118(constB109) | v121(constB109)),
% 15.28/10.48 inference(unit_resolution,[status(thm)],[17308, 17307])).
% 15.28/10.48 tff(17310,plain,
% 15.28/10.48 ((~(v117(constB109) <=> (v118(constB109) | v121(constB109)))) | v117(constB109) | (~(v118(constB109) | v121(constB109)))),
% 15.28/10.48 inference(tautology,[status(thm)],[])).
% 15.28/10.48 tff(17311,plain,
% 15.28/10.48 (v117(constB109)),
% 15.28/10.48 inference(unit_resolution,[status(thm)],[17310, 17309, 15463])).
% 15.28/10.48 tff(17312,plain,
% 15.28/10.48 ((v117(constB109) | v122(constB109)) | (~v117(constB109))),
% 15.28/10.48 inference(tautology,[status(thm)],[])).
% 15.28/10.48 tff(17313,plain,
% 15.28/10.48 (v117(constB109) | v122(constB109)),
% 15.28/10.48 inference(unit_resolution,[status(thm)],[17312, 17311])).
% 15.28/10.48 tff(17314,plain,
% 15.28/10.48 ((~(v116(constB109) <=> (v117(constB109) | v122(constB109)))) | v116(constB109) | (~(v117(constB109) | v122(constB109)))),
% 15.28/10.48 inference(tautology,[status(thm)],[])).
% 15.28/10.48 tff(17315,plain,
% 15.28/10.48 (v116(constB109)),
% 15.28/10.48 inference(unit_resolution,[status(thm)],[17314, 17313, 15461])).
% 15.28/10.48 tff(17316,plain,
% 15.28/10.48 ((v116(constB109) | v123(constB109)) | (~v116(constB109))),
% 15.28/10.48 inference(tautology,[status(thm)],[])).
% 15.28/10.48 tff(17317,plain,
% 15.28/10.48 (v116(constB109) | v123(constB109)),
% 15.28/10.48 inference(unit_resolution,[status(thm)],[17316, 17315])).
% 15.28/10.48 tff(17318,plain,
% 15.28/10.48 ((~(v115(constB109) <=> (v116(constB109) | v123(constB109)))) | v115(constB109) | (~(v116(constB109) | v123(constB109)))),
% 15.28/10.48 inference(tautology,[status(thm)],[])).
% 15.28/10.48 tff(17319,plain,
% 15.28/10.48 (v115(constB109)),
% 15.28/10.48 inference(unit_resolution,[status(thm)],[17318, 17317, 15459])).
% 15.28/10.48 tff(17320,plain,
% 15.28/10.48 ((v115(constB109) | v124(constB109)) | (~v115(constB109))),
% 15.28/10.48 inference(tautology,[status(thm)],[])).
% 15.28/10.48 tff(17321,plain,
% 15.28/10.48 (v115(constB109) | v124(constB109)),
% 15.28/10.48 inference(unit_resolution,[status(thm)],[17320, 17319])).
% 15.28/10.48 tff(17322,plain,
% 15.28/10.48 ((~(v114(constB109) <=> (v115(constB109) | v124(constB109)))) | v114(constB109) | (~(v115(constB109) | v124(constB109)))),
% 15.28/10.48 inference(tautology,[status(thm)],[])).
% 15.28/10.48 tff(17323,plain,
% 15.28/10.48 (v114(constB109)),
% 15.28/10.48 inference(unit_resolution,[status(thm)],[17322, 17321, 15457])).
% 15.28/10.48 tff(17324,plain,
% 15.28/10.48 ((v114(constB109) | v125(constB109)) | (~v114(constB109))),
% 15.28/10.48 inference(tautology,[status(thm)],[])).
% 15.28/10.48 tff(17325,plain,
% 15.28/10.48 (v114(constB109) | v125(constB109)),
% 15.28/10.48 inference(unit_resolution,[status(thm)],[17324, 17323])).
% 15.28/10.48 tff(17326,plain,
% 15.28/10.48 ((~(v113(constB109) <=> (v114(constB109) | v125(constB109)))) | v113(constB109) | (~(v114(constB109) | v125(constB109)))),
% 15.28/10.48 inference(tautology,[status(thm)],[])).
% 15.28/10.48 tff(17327,plain,
% 15.28/10.48 (v113(constB109)),
% 15.28/10.48 inference(unit_resolution,[status(thm)],[17326, 17325, 15455])).
% 15.28/10.48 tff(17328,plain,
% 15.28/10.48 ((~![VarCurr: $i] : ((~v126(VarCurr)) <=> v111(VarCurr))) | ((~v126(constB109)) <=> v111(constB109))),
% 15.28/10.48 inference(quant_inst,[status(thm)],[])).
% 15.28/10.48 tff(17329,plain,
% 15.28/10.48 ((~v126(constB109)) <=> v111(constB109)),
% 15.28/10.48 inference(unit_resolution,[status(thm)],[17328, 5074])).
% 15.28/10.48 tff(17330,plain,
% 15.28/10.48 ((~![VarCurr: $i] : (v111(VarCurr) <=> v26(VarCurr))) | (v111(constB109) <=> v26(constB109))),
% 15.28/10.48 inference(quant_inst,[status(thm)],[])).
% 15.28/10.48 tff(17331,plain,
% 15.28/10.48 (v111(constB109) <=> v26(constB109)),
% 15.28/10.48 inference(unit_resolution,[status(thm)],[17330, 5086])).
% 15.28/10.48 tff(17332,plain,
% 15.28/10.48 ((~![VarCurr: $i] : (~v26(VarCurr))) | (~v26(constB109))),
% 15.28/10.48 inference(quant_inst,[status(thm)],[])).
% 15.28/10.48 tff(17333,plain,
% 15.28/10.48 (~v26(constB109)),
% 15.28/10.48 inference(unit_resolution,[status(thm)],[17332, 5098])).
% 15.28/10.48 tff(17334,plain,
% 15.28/10.48 ((~(v111(constB109) <=> v26(constB109))) | (~v111(constB109)) | v26(constB109)),
% 15.28/10.48 inference(tautology,[status(thm)],[])).
% 15.28/10.48 tff(17335,plain,
% 15.28/10.48 ((~(v111(constB109) <=> v26(constB109))) | (~v111(constB109))),
% 15.28/10.48 inference(unit_resolution,[status(thm)],[17334, 17333])).
% 15.28/10.48 tff(17336,plain,
% 15.28/10.48 (~v111(constB109)),
% 15.28/10.48 inference(unit_resolution,[status(thm)],[17335, 17331])).
% 15.28/10.48 tff(17337,plain,
% 15.28/10.48 ((~((~v126(constB109)) <=> v111(constB109))) | v126(constB109) | v111(constB109)),
% 15.28/10.48 inference(tautology,[status(thm)],[])).
% 15.28/10.48 tff(17338,plain,
% 15.28/10.48 ((~((~v126(constB109)) <=> v111(constB109))) | v126(constB109)),
% 15.28/10.48 inference(unit_resolution,[status(thm)],[17337, 17336])).
% 15.28/10.48 tff(17339,plain,
% 15.28/10.48 (v126(constB109)),
% 15.28/10.48 inference(unit_resolution,[status(thm)],[17338, 17329])).
% 15.28/10.48 tff(17340,plain,
% 15.28/10.48 ((~((~v113(constB109)) | (~v126(constB109)))) | (~v113(constB109)) | (~v126(constB109))),
% 15.28/10.48 inference(tautology,[status(thm)],[])).
% 15.28/10.48 tff(17341,plain,
% 15.28/10.48 ((~((~v113(constB109)) | (~v126(constB109)))) | (~v113(constB109))),
% 15.28/10.48 inference(unit_resolution,[status(thm)],[17340, 17339])).
% 15.28/10.48 tff(17342,plain,
% 15.28/10.48 (~((~v113(constB109)) | (~v126(constB109)))),
% 15.28/10.48 inference(unit_resolution,[status(thm)],[17341, 17327])).
% 15.28/10.48 tff(17343,plain,
% 15.28/10.48 ((~(v112(constB109) <=> (~((~v113(constB109)) | (~v126(constB109)))))) | v112(constB109) | ((~v113(constB109)) | (~v126(constB109)))),
% 15.28/10.48 inference(tautology,[status(thm)],[])).
% 15.28/10.48 tff(17344,plain,
% 15.28/10.48 (v112(constB109)),
% 15.28/10.48 inference(unit_resolution,[status(thm)],[17343, 17342, 15453])).
% 15.28/10.48 tff(17345,plain,
% 15.28/10.48 ((v111(constB109) | v112(constB109)) | (~v112(constB109))),
% 15.28/10.48 inference(tautology,[status(thm)],[])).
% 15.28/10.48 tff(17346,plain,
% 15.28/10.48 (v111(constB109) | v112(constB109)),
% 15.28/10.48 inference(unit_resolution,[status(thm)],[17345, 17344])).
% 15.28/10.48 tff(17347,plain,
% 15.28/10.48 ((~(v108(constB109) <=> (v111(constB109) | v112(constB109)))) | v108(constB109) | (~(v111(constB109) | v112(constB109)))),
% 15.28/10.48 inference(tautology,[status(thm)],[])).
% 15.28/10.48 tff(17348,plain,
% 15.28/10.48 (v108(constB109)),
% 15.28/10.48 inference(unit_resolution,[status(thm)],[17347, 17346, 15451])).
% 15.28/10.48 tff(17349,plain,
% 15.28/10.48 ((~(v110(constB110) <=> v108(constB109))) | v110(constB110) | (~v108(constB109))),
% 15.28/10.48 inference(tautology,[status(thm)],[])).
% 15.28/10.48 tff(17350,plain,
% 15.28/10.48 (v110(constB110)),
% 15.28/10.48 inference(unit_resolution,[status(thm)],[17349, 17348, 15449])).
% 15.28/10.48 tff(17351,plain,
% 15.28/10.48 ((~((~v101(constB110)) | (~v110(constB110)))) | (~v101(constB110)) | (~v110(constB110))),
% 15.28/10.48 inference(tautology,[status(thm)],[])).
% 15.28/10.48 tff(17352,plain,
% 15.28/10.48 (~((~v101(constB110)) | (~v110(constB110)))),
% 15.28/10.48 inference(unit_resolution,[status(thm)],[17351, 17350, 15445])).
% 15.28/10.48 tff(17353,plain,
% 15.28/10.48 ((~(v100(constB110) <=> (~((~v101(constB110)) | (~v110(constB110)))))) | v100(constB110) | ((~v101(constB110)) | (~v110(constB110)))),
% 15.28/10.48 inference(tautology,[status(thm)],[])).
% 15.28/10.48 tff(17354,plain,
% 15.28/10.48 (v100(constB110)),
% 15.28/10.48 inference(unit_resolution,[status(thm)],[17353, 17352, 15414])).
% 15.28/10.48 tff(17355,plain,
% 15.28/10.48 (((~![VarNext: $i] : ((~v100(VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v129(VarNext, B))))) | ((~v100(constB110)) | ![B: $i] : ((~less_3(B)) | (v90(constB110, B) <=> v129(constB110, B))))) <=> ((~![VarNext: $i] : ((~v100(VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v129(VarNext, B))))) | (~v100(constB110)) | ![B: $i] : ((~less_3(B)) | (v90(constB110, B) <=> v129(constB110, B))))),
% 15.28/10.48 inference(rewrite,[status(thm)],[])).
% 15.28/10.48 tff(17356,plain,
% 15.28/10.48 ((~![VarNext: $i] : ((~v100(VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v129(VarNext, B))))) | ((~v100(constB110)) | ![B: $i] : ((~less_3(B)) | (v90(constB110, B) <=> v129(constB110, B))))),
% 15.28/10.48 inference(quant_inst,[status(thm)],[])).
% 15.28/10.48 tff(17357,plain,
% 15.28/10.48 ((~![VarNext: $i] : ((~v100(VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v129(VarNext, B))))) | (~v100(constB110)) | ![B: $i] : ((~less_3(B)) | (v90(constB110, B) <=> v129(constB110, B)))),
% 15.28/10.48 inference(modus_ponens,[status(thm)],[17356, 17355])).
% 15.28/10.48 tff(17358,plain,
% 15.28/10.48 ((~v100(constB110)) | ![B: $i] : ((~less_3(B)) | (v90(constB110, B) <=> v129(constB110, B)))),
% 15.28/10.48 inference(unit_resolution,[status(thm)],[17357, 5134])).
% 15.28/10.48 tff(17359,plain,
% 15.28/10.48 (![B: $i] : ((~less_3(B)) | (v90(constB110, B) <=> v129(constB110, B)))),
% 15.28/10.48 inference(unit_resolution,[status(thm)],[17358, 17354])).
% 15.28/10.48 tff(17360,plain,
% 15.28/10.48 (((~![B: $i] : ((~less_3(B)) | (v90(constB110, B) <=> v129(constB110, B)))) | ((~less_3(bitIndex2)) | (v90(constB110, bitIndex2) <=> v129(constB110, bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v90(constB110, B) <=> v129(constB110, B)))) | (~less_3(bitIndex2)) | (v90(constB110, bitIndex2) <=> v129(constB110, bitIndex2)))),
% 15.28/10.48 inference(rewrite,[status(thm)],[])).
% 15.28/10.48 tff(17361,plain,
% 15.28/10.48 ((~![B: $i] : ((~less_3(B)) | (v90(constB110, B) <=> v129(constB110, B)))) | ((~less_3(bitIndex2)) | (v90(constB110, bitIndex2) <=> v129(constB110, bitIndex2)))),
% 15.28/10.48 inference(quant_inst,[status(thm)],[])).
% 15.28/10.48 tff(17362,plain,
% 15.28/10.48 ((~![B: $i] : ((~less_3(B)) | (v90(constB110, B) <=> v129(constB110, B)))) | (~less_3(bitIndex2)) | (v90(constB110, bitIndex2) <=> v129(constB110, bitIndex2))),
% 15.28/10.48 inference(modus_ponens,[status(thm)],[17361, 17360])).
% 15.28/10.48 tff(17363,plain,
% 15.28/10.48 (v90(constB110, bitIndex2) <=> v129(constB110, bitIndex2)),
% 15.28/10.48 inference(unit_resolution,[status(thm)],[17362, 413, 17359])).
% 15.28/10.48 tff(17364,plain,
% 15.28/10.48 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v129(VarNext, B) <=> v127(VarCurr, B))))) | ((~nextState(constB109, constB110)) | ![B: $i] : ((~less_3(B)) | (v129(constB110, B) <=> v127(constB109, B))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v129(VarNext, B) <=> v127(VarCurr, B))))) | (~nextState(constB109, constB110)) | ![B: $i] : ((~less_3(B)) | (v129(constB110, B) <=> v127(constB109, B))))),
% 15.28/10.48 inference(rewrite,[status(thm)],[])).
% 15.28/10.48 tff(17365,plain,
% 15.28/10.48 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v129(VarNext, B) <=> v127(VarCurr, B))))) | ((~nextState(constB109, constB110)) | ![B: $i] : ((~less_3(B)) | (v129(constB110, B) <=> v127(constB109, B))))),
% 15.28/10.48 inference(quant_inst,[status(thm)],[])).
% 15.28/10.48 tff(17366,plain,
% 15.28/10.48 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v129(VarNext, B) <=> v127(VarCurr, B))))) | (~nextState(constB109, constB110)) | ![B: $i] : ((~less_3(B)) | (v129(constB110, B) <=> v127(constB109, B)))),
% 15.28/10.48 inference(modus_ponens,[status(thm)],[17365, 17364])).
% 15.28/10.48 tff(17367,plain,
% 15.28/10.48 (![B: $i] : ((~less_3(B)) | (v129(constB110, B) <=> v127(constB109, B)))),
% 15.28/10.48 inference(unit_resolution,[status(thm)],[17366, 15410, 5156])).
% 15.28/10.48 tff(17368,plain,
% 15.28/10.48 (((~![B: $i] : ((~less_3(B)) | (v129(constB110, B) <=> v127(constB109, B)))) | ((~less_3(bitIndex2)) | (v129(constB110, bitIndex2) <=> v127(constB109, bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v129(constB110, B) <=> v127(constB109, B)))) | (~less_3(bitIndex2)) | (v129(constB110, bitIndex2) <=> v127(constB109, bitIndex2)))),
% 15.28/10.48 inference(rewrite,[status(thm)],[])).
% 15.28/10.48 tff(17369,plain,
% 15.28/10.48 ((~![B: $i] : ((~less_3(B)) | (v129(constB110, B) <=> v127(constB109, B)))) | ((~less_3(bitIndex2)) | (v129(constB110, bitIndex2) <=> v127(constB109, bitIndex2)))),
% 15.28/10.48 inference(quant_inst,[status(thm)],[])).
% 15.28/10.48 tff(17370,plain,
% 15.28/10.48 ((~![B: $i] : ((~less_3(B)) | (v129(constB110, B) <=> v127(constB109, B)))) | (~less_3(bitIndex2)) | (v129(constB110, bitIndex2) <=> v127(constB109, bitIndex2))),
% 15.28/10.48 inference(modus_ponens,[status(thm)],[17369, 17368])).
% 15.28/10.48 tff(17371,plain,
% 15.28/10.48 (v129(constB110, bitIndex2) <=> v127(constB109, bitIndex2)),
% 15.28/10.48 inference(unit_resolution,[status(thm)],[17370, 413, 17367])).
% 15.28/10.48 tff(17372,plain,
% 15.28/10.48 (((~![VarCurr: $i] : (v111(VarCurr) | ![B: $i] : ((~less_3(B)) | (v127(VarCurr, B) <=> v130(VarCurr, B))))) | (v111(constB109) | ![B: $i] : ((~less_3(B)) | (v127(constB109, B) <=> v130(constB109, B))))) <=> ((~![VarCurr: $i] : (v111(VarCurr) | ![B: $i] : ((~less_3(B)) | (v127(VarCurr, B) <=> v130(VarCurr, B))))) | v111(constB109) | ![B: $i] : ((~less_3(B)) | (v127(constB109, B) <=> v130(constB109, B))))),
% 15.28/10.48 inference(rewrite,[status(thm)],[])).
% 15.28/10.48 tff(17373,plain,
% 15.28/10.48 ((~![VarCurr: $i] : (v111(VarCurr) | ![B: $i] : ((~less_3(B)) | (v127(VarCurr, B) <=> v130(VarCurr, B))))) | (v111(constB109) | ![B: $i] : ((~less_3(B)) | (v127(constB109, B) <=> v130(constB109, B))))),
% 15.28/10.48 inference(quant_inst,[status(thm)],[])).
% 15.28/10.48 tff(17374,plain,
% 15.28/10.48 ((~![VarCurr: $i] : (v111(VarCurr) | ![B: $i] : ((~less_3(B)) | (v127(VarCurr, B) <=> v130(VarCurr, B))))) | v111(constB109) | ![B: $i] : ((~less_3(B)) | (v127(constB109, B) <=> v130(constB109, B)))),
% 15.28/10.48 inference(modus_ponens,[status(thm)],[17373, 17372])).
% 15.28/10.48 tff(17375,plain,
% 15.28/10.48 (![B: $i] : ((~less_3(B)) | (v127(constB109, B) <=> v130(constB109, B)))),
% 15.28/10.48 inference(unit_resolution,[status(thm)],[17374, 5177, 17336])).
% 15.28/10.48 tff(17376,plain,
% 15.28/10.48 (((~![B: $i] : ((~less_3(B)) | (v127(constB109, B) <=> v130(constB109, B)))) | ((~less_3(bitIndex2)) | (v127(constB109, bitIndex2) <=> v130(constB109, bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v127(constB109, B) <=> v130(constB109, B)))) | (~less_3(bitIndex2)) | (v127(constB109, bitIndex2) <=> v130(constB109, bitIndex2)))),
% 15.28/10.48 inference(rewrite,[status(thm)],[])).
% 15.28/10.48 tff(17377,plain,
% 15.28/10.48 ((~![B: $i] : ((~less_3(B)) | (v127(constB109, B) <=> v130(constB109, B)))) | ((~less_3(bitIndex2)) | (v127(constB109, bitIndex2) <=> v130(constB109, bitIndex2)))),
% 15.28/10.48 inference(quant_inst,[status(thm)],[])).
% 15.28/10.48 tff(17378,plain,
% 15.28/10.48 ((~![B: $i] : ((~less_3(B)) | (v127(constB109, B) <=> v130(constB109, B)))) | (~less_3(bitIndex2)) | (v127(constB109, bitIndex2) <=> v130(constB109, bitIndex2))),
% 15.28/10.49 inference(modus_ponens,[status(thm)],[17377, 17376])).
% 15.28/10.49 tff(17379,plain,
% 15.28/10.49 (v127(constB109, bitIndex2) <=> v130(constB109, bitIndex2)),
% 15.28/10.49 inference(unit_resolution,[status(thm)],[17378, 413, 17375])).
% 15.28/10.49 tff(17380,plain,
% 15.28/10.49 (((~![VarCurr: $i] : ((~v121(VarCurr)) | ![B: $i] : ((~less_3(B)) | (v130(VarCurr, B) <=> b011(B))))) | ((~v121(constB109)) | ![B: $i] : ((~less_3(B)) | (v130(constB109, B) <=> b011(B))))) <=> ((~![VarCurr: $i] : ((~v121(VarCurr)) | ![B: $i] : ((~less_3(B)) | (v130(VarCurr, B) <=> b011(B))))) | (~v121(constB109)) | ![B: $i] : ((~less_3(B)) | (v130(constB109, B) <=> b011(B))))),
% 15.28/10.49 inference(rewrite,[status(thm)],[])).
% 15.28/10.49 tff(17381,plain,
% 15.28/10.49 ((~![VarCurr: $i] : ((~v121(VarCurr)) | ![B: $i] : ((~less_3(B)) | (v130(VarCurr, B) <=> b011(B))))) | ((~v121(constB109)) | ![B: $i] : ((~less_3(B)) | (v130(constB109, B) <=> b011(B))))),
% 15.28/10.49 inference(quant_inst,[status(thm)],[])).
% 15.28/10.49 tff(17382,plain,
% 15.28/10.49 ((~![VarCurr: $i] : ((~v121(VarCurr)) | ![B: $i] : ((~less_3(B)) | (v130(VarCurr, B) <=> b011(B))))) | (~v121(constB109)) | ![B: $i] : ((~less_3(B)) | (v130(constB109, B) <=> b011(B)))),
% 15.28/10.49 inference(modus_ponens,[status(thm)],[17381, 17380])).
% 15.28/10.49 tff(17383,plain,
% 15.28/10.49 ((~v121(constB109)) | ![B: $i] : ((~less_3(B)) | (v130(constB109, B) <=> b011(B)))),
% 15.28/10.49 inference(unit_resolution,[status(thm)],[17382, 5977])).
% 15.28/10.49 tff(17384,plain,
% 15.28/10.49 (![B: $i] : ((~less_3(B)) | (v130(constB109, B) <=> b011(B)))),
% 15.28/10.49 inference(unit_resolution,[status(thm)],[17383, 17307])).
% 15.28/10.49 tff(17385,plain,
% 15.28/10.49 (((~![B: $i] : ((~less_3(B)) | (v130(constB109, B) <=> b011(B)))) | ((~less_3(bitIndex2)) | (v130(constB109, bitIndex2) <=> b011(bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v130(constB109, B) <=> b011(B)))) | (~less_3(bitIndex2)) | (v130(constB109, bitIndex2) <=> b011(bitIndex2)))),
% 15.28/10.49 inference(rewrite,[status(thm)],[])).
% 15.28/10.49 tff(17386,plain,
% 15.28/10.49 ((~![B: $i] : ((~less_3(B)) | (v130(constB109, B) <=> b011(B)))) | ((~less_3(bitIndex2)) | (v130(constB109, bitIndex2) <=> b011(bitIndex2)))),
% 15.28/10.49 inference(quant_inst,[status(thm)],[])).
% 15.28/10.49 tff(17387,plain,
% 15.28/10.49 ((~![B: $i] : ((~less_3(B)) | (v130(constB109, B) <=> b011(B)))) | (~less_3(bitIndex2)) | (v130(constB109, bitIndex2) <=> b011(bitIndex2))),
% 15.28/10.49 inference(modus_ponens,[status(thm)],[17386, 17385])).
% 15.28/10.49 tff(17388,plain,
% 15.28/10.49 (v130(constB109, bitIndex2) <=> b011(bitIndex2)),
% 15.28/10.49 inference(unit_resolution,[status(thm)],[17387, 413, 17384])).
% 15.28/10.49 tff(17389,plain,
% 15.28/10.49 ((~(v130(constB109, bitIndex2) <=> b011(bitIndex2))) | (~v130(constB109, bitIndex2)) | b011(bitIndex2)),
% 15.28/10.49 inference(tautology,[status(thm)],[])).
% 15.28/10.49 tff(17390,plain,
% 15.28/10.49 ((~(v130(constB109, bitIndex2) <=> b011(bitIndex2))) | (~v130(constB109, bitIndex2))),
% 15.28/10.49 inference(unit_resolution,[status(thm)],[17389, 5989])).
% 15.28/10.49 tff(17391,plain,
% 15.28/10.49 (~v130(constB109, bitIndex2)),
% 15.28/10.49 inference(unit_resolution,[status(thm)],[17390, 17388])).
% 15.28/10.49 tff(17392,plain,
% 15.28/10.49 ((~(v127(constB109, bitIndex2) <=> v130(constB109, bitIndex2))) | (~v127(constB109, bitIndex2)) | v130(constB109, bitIndex2)),
% 15.28/10.49 inference(tautology,[status(thm)],[])).
% 15.28/10.49 tff(17393,plain,
% 15.28/10.49 (~v127(constB109, bitIndex2)),
% 15.28/10.49 inference(unit_resolution,[status(thm)],[17392, 17391, 17379])).
% 15.28/10.49 tff(17394,plain,
% 15.28/10.49 ((~(v129(constB110, bitIndex2) <=> v127(constB109, bitIndex2))) | (~v129(constB110, bitIndex2)) | v127(constB109, bitIndex2)),
% 15.28/10.49 inference(tautology,[status(thm)],[])).
% 15.28/10.49 tff(17395,plain,
% 15.28/10.49 (~v129(constB110, bitIndex2)),
% 15.28/10.49 inference(unit_resolution,[status(thm)],[17394, 17393, 17371])).
% 15.28/10.49 tff(17396,plain,
% 15.28/10.49 ((~(v90(constB110, bitIndex2) <=> v129(constB110, bitIndex2))) | (~v90(constB110, bitIndex2)) | v129(constB110, bitIndex2)),
% 15.28/10.49 inference(tautology,[status(thm)],[])).
% 15.28/10.49 tff(17397,plain,
% 15.28/10.49 (~v90(constB110, bitIndex2)),
% 15.28/10.49 inference(unit_resolution,[status(thm)],[17396, 17395, 17363])).
% 15.28/10.49 tff(17398,plain,
% 15.28/10.49 ((~(v90(constB111, bitIndex2) <=> v90(constB110, bitIndex2))) | (~v90(constB111, bitIndex2)) | v90(constB110, bitIndex2)),
% 15.28/10.49 inference(tautology,[status(thm)],[])).
% 15.28/10.49 tff(17399,plain,
% 15.28/10.49 (~v90(constB111, bitIndex2)),
% 15.28/10.49 inference(unit_resolution,[status(thm)],[17398, 17397, 15407])).
% 15.28/10.49 tff(17400,plain,
% 15.28/10.49 (((~![B: $i] : ((~less_3(B)) | (v90(constB111, B) <=> v90(constB110, B)))) | ((~less_3(bitIndex0)) | (v90(constB111, bitIndex0) <=> v90(constB110, bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v90(constB111, B) <=> v90(constB110, B)))) | (~less_3(bitIndex0)) | (v90(constB111, bitIndex0) <=> v90(constB110, bitIndex0)))),
% 15.28/10.49 inference(rewrite,[status(thm)],[])).
% 15.28/10.49 tff(17401,plain,
% 15.28/10.49 ((~![B: $i] : ((~less_3(B)) | (v90(constB111, B) <=> v90(constB110, B)))) | ((~less_3(bitIndex0)) | (v90(constB111, bitIndex0) <=> v90(constB110, bitIndex0)))),
% 15.28/10.49 inference(quant_inst,[status(thm)],[])).
% 15.28/10.49 tff(17402,plain,
% 15.28/10.49 ((~![B: $i] : ((~less_3(B)) | (v90(constB111, B) <=> v90(constB110, B)))) | (~less_3(bitIndex0)) | (v90(constB111, bitIndex0) <=> v90(constB110, bitIndex0))),
% 15.28/10.49 inference(modus_ponens,[status(thm)],[17401, 17400])).
% 15.28/10.49 tff(17403,plain,
% 15.28/10.49 (v90(constB111, bitIndex0) <=> v90(constB110, bitIndex0)),
% 15.28/10.49 inference(unit_resolution,[status(thm)],[17402, 5004, 15403])).
% 15.28/10.49 tff(17404,plain,
% 15.28/10.49 (((~![B: $i] : ((~less_3(B)) | (v90(constB110, B) <=> v129(constB110, B)))) | ((~less_3(bitIndex0)) | (v90(constB110, bitIndex0) <=> v129(constB110, bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v90(constB110, B) <=> v129(constB110, B)))) | (~less_3(bitIndex0)) | (v90(constB110, bitIndex0) <=> v129(constB110, bitIndex0)))),
% 15.28/10.49 inference(rewrite,[status(thm)],[])).
% 15.28/10.49 tff(17405,plain,
% 15.28/10.49 ((~![B: $i] : ((~less_3(B)) | (v90(constB110, B) <=> v129(constB110, B)))) | ((~less_3(bitIndex0)) | (v90(constB110, bitIndex0) <=> v129(constB110, bitIndex0)))),
% 15.28/10.49 inference(quant_inst,[status(thm)],[])).
% 15.28/10.49 tff(17406,plain,
% 15.28/10.49 ((~![B: $i] : ((~less_3(B)) | (v90(constB110, B) <=> v129(constB110, B)))) | (~less_3(bitIndex0)) | (v90(constB110, bitIndex0) <=> v129(constB110, bitIndex0))),
% 15.28/10.49 inference(modus_ponens,[status(thm)],[17405, 17404])).
% 15.28/10.49 tff(17407,plain,
% 15.28/10.49 (v90(constB110, bitIndex0) <=> v129(constB110, bitIndex0)),
% 15.28/10.49 inference(unit_resolution,[status(thm)],[17406, 5004, 17359])).
% 15.28/10.49 tff(17408,plain,
% 15.28/10.49 (((~![B: $i] : ((~less_3(B)) | (v129(constB110, B) <=> v127(constB109, B)))) | ((~less_3(bitIndex0)) | (v129(constB110, bitIndex0) <=> v127(constB109, bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v129(constB110, B) <=> v127(constB109, B)))) | (~less_3(bitIndex0)) | (v129(constB110, bitIndex0) <=> v127(constB109, bitIndex0)))),
% 15.28/10.49 inference(rewrite,[status(thm)],[])).
% 15.28/10.49 tff(17409,plain,
% 15.28/10.49 ((~![B: $i] : ((~less_3(B)) | (v129(constB110, B) <=> v127(constB109, B)))) | ((~less_3(bitIndex0)) | (v129(constB110, bitIndex0) <=> v127(constB109, bitIndex0)))),
% 15.28/10.49 inference(quant_inst,[status(thm)],[])).
% 15.28/10.49 tff(17410,plain,
% 15.28/10.49 ((~![B: $i] : ((~less_3(B)) | (v129(constB110, B) <=> v127(constB109, B)))) | (~less_3(bitIndex0)) | (v129(constB110, bitIndex0) <=> v127(constB109, bitIndex0))),
% 15.28/10.49 inference(modus_ponens,[status(thm)],[17409, 17408])).
% 15.28/10.49 tff(17411,plain,
% 15.28/10.49 (v129(constB110, bitIndex0) <=> v127(constB109, bitIndex0)),
% 15.28/10.49 inference(unit_resolution,[status(thm)],[17410, 5004, 17367])).
% 15.28/10.49 tff(17412,plain,
% 15.28/10.49 (((~![B: $i] : ((~less_3(B)) | (v127(constB109, B) <=> v130(constB109, B)))) | ((~less_3(bitIndex0)) | (v127(constB109, bitIndex0) <=> v130(constB109, bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v127(constB109, B) <=> v130(constB109, B)))) | (~less_3(bitIndex0)) | (v127(constB109, bitIndex0) <=> v130(constB109, bitIndex0)))),
% 15.28/10.49 inference(rewrite,[status(thm)],[])).
% 15.28/10.49 tff(17413,plain,
% 15.28/10.49 ((~![B: $i] : ((~less_3(B)) | (v127(constB109, B) <=> v130(constB109, B)))) | ((~less_3(bitIndex0)) | (v127(constB109, bitIndex0) <=> v130(constB109, bitIndex0)))),
% 15.28/10.49 inference(quant_inst,[status(thm)],[])).
% 15.28/10.49 tff(17414,plain,
% 15.28/10.49 ((~![B: $i] : ((~less_3(B)) | (v127(constB109, B) <=> v130(constB109, B)))) | (~less_3(bitIndex0)) | (v127(constB109, bitIndex0) <=> v130(constB109, bitIndex0))),
% 15.28/10.49 inference(modus_ponens,[status(thm)],[17413, 17412])).
% 15.28/10.49 tff(17415,plain,
% 15.28/10.49 (v127(constB109, bitIndex0) <=> v130(constB109, bitIndex0)),
% 15.28/10.49 inference(unit_resolution,[status(thm)],[17414, 5004, 17375])).
% 15.28/10.49 tff(17416,plain,
% 15.28/10.49 (((~![B: $i] : ((~less_3(B)) | (v130(constB109, B) <=> b011(B)))) | ((~less_3(bitIndex0)) | (v130(constB109, bitIndex0) <=> b011(bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v130(constB109, B) <=> b011(B)))) | (~less_3(bitIndex0)) | (v130(constB109, bitIndex0) <=> b011(bitIndex0)))),
% 15.28/10.49 inference(rewrite,[status(thm)],[])).
% 15.28/10.49 tff(17417,plain,
% 15.28/10.49 ((~![B: $i] : ((~less_3(B)) | (v130(constB109, B) <=> b011(B)))) | ((~less_3(bitIndex0)) | (v130(constB109, bitIndex0) <=> b011(bitIndex0)))),
% 15.28/10.49 inference(quant_inst,[status(thm)],[])).
% 15.28/10.49 tff(17418,plain,
% 15.28/10.49 ((~![B: $i] : ((~less_3(B)) | (v130(constB109, B) <=> b011(B)))) | (~less_3(bitIndex0)) | (v130(constB109, bitIndex0) <=> b011(bitIndex0))),
% 15.28/10.49 inference(modus_ponens,[status(thm)],[17417, 17416])).
% 15.28/10.49 tff(17419,plain,
% 15.28/10.49 (v130(constB109, bitIndex0) <=> b011(bitIndex0)),
% 15.28/10.49 inference(unit_resolution,[status(thm)],[17418, 5004, 17384])).
% 15.28/10.49 tff(17420,plain,
% 15.28/10.49 ((~(v130(constB109, bitIndex0) <=> b011(bitIndex0))) | v130(constB109, bitIndex0) | (~b011(bitIndex0))),
% 15.28/10.49 inference(tautology,[status(thm)],[])).
% 15.28/10.49 tff(17421,plain,
% 15.28/10.49 ((~(v130(constB109, bitIndex0) <=> b011(bitIndex0))) | v130(constB109, bitIndex0)),
% 15.28/10.49 inference(unit_resolution,[status(thm)],[17420, 6023])).
% 15.28/10.49 tff(17422,plain,
% 15.28/10.49 (v130(constB109, bitIndex0)),
% 15.28/10.49 inference(unit_resolution,[status(thm)],[17421, 17419])).
% 15.28/10.49 tff(17423,plain,
% 15.28/10.49 ((~(v127(constB109, bitIndex0) <=> v130(constB109, bitIndex0))) | v127(constB109, bitIndex0) | (~v130(constB109, bitIndex0))),
% 15.28/10.49 inference(tautology,[status(thm)],[])).
% 15.28/10.49 tff(17424,plain,
% 15.28/10.49 (v127(constB109, bitIndex0)),
% 15.28/10.49 inference(unit_resolution,[status(thm)],[17423, 17422, 17415])).
% 15.28/10.49 tff(17425,plain,
% 15.28/10.49 ((~(v129(constB110, bitIndex0) <=> v127(constB109, bitIndex0))) | v129(constB110, bitIndex0) | (~v127(constB109, bitIndex0))),
% 15.28/10.49 inference(tautology,[status(thm)],[])).
% 15.28/10.49 tff(17426,plain,
% 15.28/10.49 (v129(constB110, bitIndex0)),
% 15.28/10.49 inference(unit_resolution,[status(thm)],[17425, 17424, 17411])).
% 15.28/10.49 tff(17427,plain,
% 15.28/10.49 ((~(v90(constB110, bitIndex0) <=> v129(constB110, bitIndex0))) | v90(constB110, bitIndex0) | (~v129(constB110, bitIndex0))),
% 15.28/10.49 inference(tautology,[status(thm)],[])).
% 15.28/10.49 tff(17428,plain,
% 15.28/10.49 (v90(constB110, bitIndex0)),
% 15.28/10.49 inference(unit_resolution,[status(thm)],[17427, 17426, 17407])).
% 15.28/10.49 tff(17429,plain,
% 15.28/10.49 ((~(v90(constB111, bitIndex0) <=> v90(constB110, bitIndex0))) | v90(constB111, bitIndex0) | (~v90(constB110, bitIndex0))),
% 15.28/10.49 inference(tautology,[status(thm)],[])).
% 15.28/10.49 tff(17430,plain,
% 15.28/10.49 (v90(constB111, bitIndex0)),
% 15.28/10.49 inference(unit_resolution,[status(thm)],[17429, 17428, 17403])).
% 15.28/10.49 tff(17431,plain,
% 15.28/10.49 (((~![B: $i] : ((~less_3(B)) | (v90(constB111, B) <=> v90(constB110, B)))) | ((~less_3(bitIndex1)) | (v90(constB111, bitIndex1) <=> v90(constB110, bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v90(constB111, B) <=> v90(constB110, B)))) | (~less_3(bitIndex1)) | (v90(constB111, bitIndex1) <=> v90(constB110, bitIndex1)))),
% 15.28/10.49 inference(rewrite,[status(thm)],[])).
% 15.28/10.49 tff(17432,plain,
% 15.28/10.49 ((~![B: $i] : ((~less_3(B)) | (v90(constB111, B) <=> v90(constB110, B)))) | ((~less_3(bitIndex1)) | (v90(constB111, bitIndex1) <=> v90(constB110, bitIndex1)))),
% 15.28/10.49 inference(quant_inst,[status(thm)],[])).
% 15.28/10.49 tff(17433,plain,
% 15.28/10.49 ((~![B: $i] : ((~less_3(B)) | (v90(constB111, B) <=> v90(constB110, B)))) | (~less_3(bitIndex1)) | (v90(constB111, bitIndex1) <=> v90(constB110, bitIndex1))),
% 15.28/10.49 inference(modus_ponens,[status(thm)],[17432, 17431])).
% 15.28/10.49 tff(17434,plain,
% 15.28/10.49 (v90(constB111, bitIndex1) <=> v90(constB110, bitIndex1)),
% 15.28/10.49 inference(unit_resolution,[status(thm)],[17433, 5017, 15403])).
% 15.28/10.49 tff(17435,plain,
% 15.28/10.49 (((~![B: $i] : ((~less_3(B)) | (v90(constB110, B) <=> v129(constB110, B)))) | ((~less_3(bitIndex1)) | (v90(constB110, bitIndex1) <=> v129(constB110, bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v90(constB110, B) <=> v129(constB110, B)))) | (~less_3(bitIndex1)) | (v90(constB110, bitIndex1) <=> v129(constB110, bitIndex1)))),
% 15.28/10.49 inference(rewrite,[status(thm)],[])).
% 15.28/10.49 tff(17436,plain,
% 15.28/10.49 ((~![B: $i] : ((~less_3(B)) | (v90(constB110, B) <=> v129(constB110, B)))) | ((~less_3(bitIndex1)) | (v90(constB110, bitIndex1) <=> v129(constB110, bitIndex1)))),
% 15.28/10.49 inference(quant_inst,[status(thm)],[])).
% 15.28/10.49 tff(17437,plain,
% 15.28/10.49 ((~![B: $i] : ((~less_3(B)) | (v90(constB110, B) <=> v129(constB110, B)))) | (~less_3(bitIndex1)) | (v90(constB110, bitIndex1) <=> v129(constB110, bitIndex1))),
% 15.28/10.49 inference(modus_ponens,[status(thm)],[17436, 17435])).
% 15.28/10.49 tff(17438,plain,
% 15.28/10.49 (v90(constB110, bitIndex1) <=> v129(constB110, bitIndex1)),
% 15.28/10.49 inference(unit_resolution,[status(thm)],[17437, 5017, 17359])).
% 15.28/10.49 tff(17439,plain,
% 15.28/10.49 (((~![B: $i] : ((~less_3(B)) | (v129(constB110, B) <=> v127(constB109, B)))) | ((~less_3(bitIndex1)) | (v129(constB110, bitIndex1) <=> v127(constB109, bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v129(constB110, B) <=> v127(constB109, B)))) | (~less_3(bitIndex1)) | (v129(constB110, bitIndex1) <=> v127(constB109, bitIndex1)))),
% 15.28/10.49 inference(rewrite,[status(thm)],[])).
% 15.28/10.49 tff(17440,plain,
% 15.28/10.49 ((~![B: $i] : ((~less_3(B)) | (v129(constB110, B) <=> v127(constB109, B)))) | ((~less_3(bitIndex1)) | (v129(constB110, bitIndex1) <=> v127(constB109, bitIndex1)))),
% 15.28/10.49 inference(quant_inst,[status(thm)],[])).
% 15.28/10.49 tff(17441,plain,
% 15.28/10.49 ((~![B: $i] : ((~less_3(B)) | (v129(constB110, B) <=> v127(constB109, B)))) | (~less_3(bitIndex1)) | (v129(constB110, bitIndex1) <=> v127(constB109, bitIndex1))),
% 15.28/10.49 inference(modus_ponens,[status(thm)],[17440, 17439])).
% 15.28/10.49 tff(17442,plain,
% 15.28/10.49 (v129(constB110, bitIndex1) <=> v127(constB109, bitIndex1)),
% 15.28/10.49 inference(unit_resolution,[status(thm)],[17441, 5017, 17367])).
% 15.28/10.49 tff(17443,plain,
% 15.28/10.49 (((~![B: $i] : ((~less_3(B)) | (v127(constB109, B) <=> v130(constB109, B)))) | ((~less_3(bitIndex1)) | (v127(constB109, bitIndex1) <=> v130(constB109, bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v127(constB109, B) <=> v130(constB109, B)))) | (~less_3(bitIndex1)) | (v127(constB109, bitIndex1) <=> v130(constB109, bitIndex1)))),
% 15.28/10.49 inference(rewrite,[status(thm)],[])).
% 15.28/10.49 tff(17444,plain,
% 15.28/10.49 ((~![B: $i] : ((~less_3(B)) | (v127(constB109, B) <=> v130(constB109, B)))) | ((~less_3(bitIndex1)) | (v127(constB109, bitIndex1) <=> v130(constB109, bitIndex1)))),
% 15.28/10.49 inference(quant_inst,[status(thm)],[])).
% 15.28/10.49 tff(17445,plain,
% 15.28/10.49 ((~![B: $i] : ((~less_3(B)) | (v127(constB109, B) <=> v130(constB109, B)))) | (~less_3(bitIndex1)) | (v127(constB109, bitIndex1) <=> v130(constB109, bitIndex1))),
% 15.28/10.49 inference(modus_ponens,[status(thm)],[17444, 17443])).
% 15.28/10.49 tff(17446,plain,
% 15.28/10.49 (v127(constB109, bitIndex1) <=> v130(constB109, bitIndex1)),
% 15.28/10.49 inference(unit_resolution,[status(thm)],[17445, 5017, 17375])).
% 15.28/10.49 tff(17447,plain,
% 15.28/10.49 (((~![B: $i] : ((~less_3(B)) | (v130(constB109, B) <=> b011(B)))) | ((~less_3(bitIndex1)) | (v130(constB109, bitIndex1) <=> b011(bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v130(constB109, B) <=> b011(B)))) | (~less_3(bitIndex1)) | (v130(constB109, bitIndex1) <=> b011(bitIndex1)))),
% 15.28/10.49 inference(rewrite,[status(thm)],[])).
% 15.28/10.49 tff(17448,plain,
% 15.28/10.49 ((~![B: $i] : ((~less_3(B)) | (v130(constB109, B) <=> b011(B)))) | ((~less_3(bitIndex1)) | (v130(constB109, bitIndex1) <=> b011(bitIndex1)))),
% 15.28/10.49 inference(quant_inst,[status(thm)],[])).
% 15.28/10.49 tff(17449,plain,
% 15.28/10.49 ((~![B: $i] : ((~less_3(B)) | (v130(constB109, B) <=> b011(B)))) | (~less_3(bitIndex1)) | (v130(constB109, bitIndex1) <=> b011(bitIndex1))),
% 15.28/10.49 inference(modus_ponens,[status(thm)],[17448, 17447])).
% 15.28/10.49 tff(17450,plain,
% 15.28/10.49 (v130(constB109, bitIndex1) <=> b011(bitIndex1)),
% 15.28/10.49 inference(unit_resolution,[status(thm)],[17449, 5017, 17384])).
% 15.28/10.49 tff(17451,plain,
% 15.28/10.49 ((~(v130(constB109, bitIndex1) <=> b011(bitIndex1))) | v130(constB109, bitIndex1) | (~b011(bitIndex1))),
% 15.28/10.49 inference(tautology,[status(thm)],[])).
% 15.28/10.49 tff(17452,plain,
% 15.28/10.49 ((~(v130(constB109, bitIndex1) <=> b011(bitIndex1))) | v130(constB109, bitIndex1)),
% 15.28/10.49 inference(unit_resolution,[status(thm)],[17451, 6057])).
% 15.28/10.49 tff(17453,plain,
% 15.28/10.49 (v130(constB109, bitIndex1)),
% 15.28/10.49 inference(unit_resolution,[status(thm)],[17452, 17450])).
% 15.28/10.49 tff(17454,plain,
% 15.28/10.49 ((~(v127(constB109, bitIndex1) <=> v130(constB109, bitIndex1))) | v127(constB109, bitIndex1) | (~v130(constB109, bitIndex1))),
% 15.28/10.49 inference(tautology,[status(thm)],[])).
% 15.28/10.49 tff(17455,plain,
% 15.28/10.49 (v127(constB109, bitIndex1)),
% 15.28/10.49 inference(unit_resolution,[status(thm)],[17454, 17453, 17446])).
% 15.28/10.49 tff(17456,plain,
% 15.28/10.49 ((~(v129(constB110, bitIndex1) <=> v127(constB109, bitIndex1))) | v129(constB110, bitIndex1) | (~v127(constB109, bitIndex1))),
% 15.28/10.49 inference(tautology,[status(thm)],[])).
% 15.28/10.49 tff(17457,plain,
% 15.28/10.49 (v129(constB110, bitIndex1)),
% 15.28/10.49 inference(unit_resolution,[status(thm)],[17456, 17455, 17442])).
% 15.28/10.49 tff(17458,plain,
% 15.28/10.49 ((~(v90(constB110, bitIndex1) <=> v129(constB110, bitIndex1))) | v90(constB110, bitIndex1) | (~v129(constB110, bitIndex1))),
% 15.28/10.49 inference(tautology,[status(thm)],[])).
% 15.28/10.49 tff(17459,plain,
% 15.28/10.49 (v90(constB110, bitIndex1)),
% 15.28/10.49 inference(unit_resolution,[status(thm)],[17458, 17457, 17438])).
% 15.28/10.49 tff(17460,plain,
% 15.28/10.49 ((~(v90(constB111, bitIndex1) <=> v90(constB110, bitIndex1))) | v90(constB111, bitIndex1) | (~v90(constB110, bitIndex1))),
% 15.28/10.49 inference(tautology,[status(thm)],[])).
% 15.28/10.49 tff(17461,plain,
% 15.28/10.49 (v90(constB111, bitIndex1)),
% 15.28/10.49 inference(unit_resolution,[status(thm)],[17460, 17459, 17434])).
% 15.28/10.49 tff(17462,plain,
% 15.28/10.49 ((~(v90(constB111, bitIndex2) | (~v90(constB111, bitIndex1)) | (~v90(constB111, bitIndex0)))) | v90(constB111, bitIndex2) | (~v90(constB111, bitIndex1)) | (~v90(constB111, bitIndex0))),
% 15.28/10.49 inference(tautology,[status(thm)],[])).
% 15.28/10.49 tff(17463,plain,
% 15.28/10.49 (~(v90(constB111, bitIndex2) | (~v90(constB111, bitIndex1)) | (~v90(constB111, bitIndex0)))),
% 15.28/10.49 inference(unit_resolution,[status(thm)],[17462, 17461, 17430, 17399])).
% 15.28/10.49 tff(17464,plain,
% 15.28/10.49 ((~(v122(constB111) <=> (~(v90(constB111, bitIndex2) | (~v90(constB111, bitIndex1)) | (~v90(constB111, bitIndex0)))))) | v122(constB111) | (v90(constB111, bitIndex2) | (~v90(constB111, bitIndex1)) | (~v90(constB111, bitIndex0)))),
% 15.28/10.49 inference(tautology,[status(thm)],[])).
% 15.28/10.49 tff(17465,plain,
% 15.28/10.49 (v122(constB111)),
% 15.28/10.49 inference(unit_resolution,[status(thm)],[17464, 17463, 15375])).
% 15.28/10.49 tff(17466,plain,
% 15.28/10.49 ((v117(constB111) | v122(constB111)) | (~v122(constB111))),
% 15.28/10.49 inference(tautology,[status(thm)],[])).
% 15.28/10.49 tff(17467,plain,
% 15.28/10.49 (v117(constB111) | v122(constB111)),
% 15.28/10.49 inference(unit_resolution,[status(thm)],[17466, 17465])).
% 15.28/10.49 tff(17468,plain,
% 15.28/10.49 ((~(v116(constB111) <=> (v117(constB111) | v122(constB111)))) | v116(constB111) | (~(v117(constB111) | v122(constB111)))),
% 15.28/10.49 inference(tautology,[status(thm)],[])).
% 15.28/10.49 tff(17469,plain,
% 15.28/10.49 (v116(constB111)),
% 15.28/10.49 inference(unit_resolution,[status(thm)],[17468, 17467, 15368])).
% 15.28/10.49 tff(17470,plain,
% 15.28/10.49 ((v116(constB111) | v123(constB111)) | (~v116(constB111))),
% 15.28/10.49 inference(tautology,[status(thm)],[])).
% 15.28/10.49 tff(17471,plain,
% 15.28/10.49 (v116(constB111) | v123(constB111)),
% 15.28/10.49 inference(unit_resolution,[status(thm)],[17470, 17469])).
% 15.28/10.49 tff(17472,plain,
% 15.28/10.49 ((~(v115(constB111) <=> (v116(constB111) | v123(constB111)))) | v115(constB111) | (~(v116(constB111) | v123(constB111)))),
% 15.28/10.49 inference(tautology,[status(thm)],[])).
% 15.28/10.49 tff(17473,plain,
% 15.28/10.49 (v115(constB111)),
% 15.28/10.49 inference(unit_resolution,[status(thm)],[17472, 17471, 15366])).
% 15.28/10.49 tff(17474,plain,
% 15.28/10.49 ((v115(constB111) | v124(constB111)) | (~v115(constB111))),
% 15.28/10.49 inference(tautology,[status(thm)],[])).
% 15.28/10.49 tff(17475,plain,
% 15.28/10.49 (v115(constB111) | v124(constB111)),
% 15.28/10.49 inference(unit_resolution,[status(thm)],[17474, 17473])).
% 15.28/10.49 tff(17476,plain,
% 15.28/10.49 ((~(v114(constB111) <=> (v115(constB111) | v124(constB111)))) | v114(constB111) | (~(v115(constB111) | v124(constB111)))),
% 15.28/10.49 inference(tautology,[status(thm)],[])).
% 15.28/10.49 tff(17477,plain,
% 15.28/10.49 (v114(constB111)),
% 15.28/10.49 inference(unit_resolution,[status(thm)],[17476, 17475, 15364])).
% 15.28/10.49 tff(17478,plain,
% 15.28/10.49 ((v114(constB111) | v125(constB111)) | (~v114(constB111))),
% 15.28/10.49 inference(tautology,[status(thm)],[])).
% 15.28/10.49 tff(17479,plain,
% 15.28/10.49 (v114(constB111) | v125(constB111)),
% 15.28/10.49 inference(unit_resolution,[status(thm)],[17478, 17477])).
% 15.28/10.49 tff(17480,plain,
% 15.28/10.49 ((~(v113(constB111) <=> (v114(constB111) | v125(constB111)))) | v113(constB111) | (~(v114(constB111) | v125(constB111)))),
% 15.28/10.49 inference(tautology,[status(thm)],[])).
% 15.28/10.49 tff(17481,plain,
% 15.28/10.49 (v113(constB111)),
% 15.28/10.49 inference(unit_resolution,[status(thm)],[17480, 17479, 15362])).
% 15.28/10.49 tff(17482,plain,
% 15.28/10.49 ((~![VarCurr: $i] : ((~v126(VarCurr)) <=> v111(VarCurr))) | ((~v126(constB111)) <=> v111(constB111))),
% 15.28/10.49 inference(quant_inst,[status(thm)],[])).
% 15.28/10.49 tff(17483,plain,
% 15.28/10.49 ((~v126(constB111)) <=> v111(constB111)),
% 15.28/10.49 inference(unit_resolution,[status(thm)],[17482, 5074])).
% 15.28/10.49 tff(17484,plain,
% 15.28/10.49 ((~![VarCurr: $i] : (v111(VarCurr) <=> v26(VarCurr))) | (v111(constB111) <=> v26(constB111))),
% 15.28/10.49 inference(quant_inst,[status(thm)],[])).
% 15.28/10.49 tff(17485,plain,
% 15.28/10.49 (v111(constB111) <=> v26(constB111)),
% 15.28/10.49 inference(unit_resolution,[status(thm)],[17484, 5086])).
% 15.28/10.49 tff(17486,plain,
% 15.28/10.49 ((~![VarCurr: $i] : (~v26(VarCurr))) | (~v26(constB111))),
% 15.28/10.49 inference(quant_inst,[status(thm)],[])).
% 15.28/10.49 tff(17487,plain,
% 15.28/10.49 (~v26(constB111)),
% 15.28/10.49 inference(unit_resolution,[status(thm)],[17486, 5098])).
% 15.28/10.49 tff(17488,plain,
% 15.28/10.49 ((~(v111(constB111) <=> v26(constB111))) | (~v111(constB111)) | v26(constB111)),
% 15.28/10.49 inference(tautology,[status(thm)],[])).
% 15.28/10.49 tff(17489,plain,
% 15.28/10.49 ((~(v111(constB111) <=> v26(constB111))) | (~v111(constB111))),
% 15.28/10.49 inference(unit_resolution,[status(thm)],[17488, 17487])).
% 15.28/10.49 tff(17490,plain,
% 15.28/10.49 (~v111(constB111)),
% 15.28/10.49 inference(unit_resolution,[status(thm)],[17489, 17485])).
% 15.28/10.49 tff(17491,plain,
% 15.28/10.49 ((~((~v126(constB111)) <=> v111(constB111))) | v126(constB111) | v111(constB111)),
% 15.28/10.49 inference(tautology,[status(thm)],[])).
% 15.28/10.49 tff(17492,plain,
% 15.28/10.49 ((~((~v126(constB111)) <=> v111(constB111))) | v126(constB111)),
% 15.28/10.49 inference(unit_resolution,[status(thm)],[17491, 17490])).
% 15.28/10.49 tff(17493,plain,
% 15.28/10.49 (v126(constB111)),
% 15.28/10.49 inference(unit_resolution,[status(thm)],[17492, 17483])).
% 15.28/10.49 tff(17494,plain,
% 15.28/10.49 ((~((~v113(constB111)) | (~v126(constB111)))) | (~v113(constB111)) | (~v126(constB111))),
% 15.28/10.49 inference(tautology,[status(thm)],[])).
% 15.28/10.49 tff(17495,plain,
% 15.28/10.49 ((~((~v113(constB111)) | (~v126(constB111)))) | (~v113(constB111))),
% 15.28/10.49 inference(unit_resolution,[status(thm)],[17494, 17493])).
% 15.28/10.49 tff(17496,plain,
% 15.28/10.49 (~((~v113(constB111)) | (~v126(constB111)))),
% 15.28/10.49 inference(unit_resolution,[status(thm)],[17495, 17481])).
% 15.28/10.49 tff(17497,plain,
% 15.28/10.49 ((~(v112(constB111) <=> (~((~v113(constB111)) | (~v126(constB111)))))) | v112(constB111) | ((~v113(constB111)) | (~v126(constB111)))),
% 15.28/10.49 inference(tautology,[status(thm)],[])).
% 15.28/10.49 tff(17498,plain,
% 15.28/10.49 (v112(constB111)),
% 15.28/10.49 inference(unit_resolution,[status(thm)],[17497, 17496, 15360])).
% 15.28/10.49 tff(17499,plain,
% 15.28/10.49 ((v111(constB111) | v112(constB111)) | (~v112(constB111))),
% 15.28/10.49 inference(tautology,[status(thm)],[])).
% 15.28/10.49 tff(17500,plain,
% 15.28/10.49 (v111(constB111) | v112(constB111)),
% 15.28/10.49 inference(unit_resolution,[status(thm)],[17499, 17498])).
% 15.28/10.49 tff(17501,plain,
% 15.28/10.49 ((~(v108(constB111) <=> (v111(constB111) | v112(constB111)))) | v108(constB111) | (~(v111(constB111) | v112(constB111)))),
% 15.28/10.49 inference(tautology,[status(thm)],[])).
% 15.28/10.49 tff(17502,plain,
% 15.28/10.49 (v108(constB111)),
% 15.28/10.49 inference(unit_resolution,[status(thm)],[17501, 17500, 15358])).
% 15.28/10.49 tff(17503,plain,
% 15.28/10.49 ((~(v110(constB112) <=> v108(constB111))) | v110(constB112) | (~v108(constB111))),
% 15.28/10.49 inference(tautology,[status(thm)],[])).
% 15.28/10.49 tff(17504,plain,
% 15.28/10.49 (v110(constB112)),
% 15.28/10.49 inference(unit_resolution,[status(thm)],[17503, 17502, 15356])).
% 15.28/10.49 tff(17505,plain,
% 15.28/10.49 ((~((~v101(constB112)) | (~v110(constB112)))) | (~v101(constB112)) | (~v110(constB112))),
% 15.28/10.49 inference(tautology,[status(thm)],[])).
% 15.28/10.49 tff(17506,plain,
% 15.28/10.49 (~((~v101(constB112)) | (~v110(constB112)))),
% 15.28/10.49 inference(unit_resolution,[status(thm)],[17505, 17504, 15352])).
% 15.28/10.49 tff(17507,plain,
% 15.28/10.49 ((~(v100(constB112) <=> (~((~v101(constB112)) | (~v110(constB112)))))) | v100(constB112) | ((~v101(constB112)) | (~v110(constB112)))),
% 15.28/10.49 inference(tautology,[status(thm)],[])).
% 15.28/10.49 tff(17508,plain,
% 15.28/10.49 (v100(constB112)),
% 15.28/10.49 inference(unit_resolution,[status(thm)],[17507, 17506, 15321])).
% 15.28/10.49 tff(17509,plain,
% 15.28/10.49 (((~![VarNext: $i] : ((~v100(VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v129(VarNext, B))))) | ((~v100(constB112)) | ![B: $i] : ((~less_3(B)) | (v90(constB112, B) <=> v129(constB112, B))))) <=> ((~![VarNext: $i] : ((~v100(VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v129(VarNext, B))))) | (~v100(constB112)) | ![B: $i] : ((~less_3(B)) | (v90(constB112, B) <=> v129(constB112, B))))),
% 15.28/10.49 inference(rewrite,[status(thm)],[])).
% 15.28/10.49 tff(17510,plain,
% 15.28/10.49 ((~![VarNext: $i] : ((~v100(VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v129(VarNext, B))))) | ((~v100(constB112)) | ![B: $i] : ((~less_3(B)) | (v90(constB112, B) <=> v129(constB112, B))))),
% 15.28/10.49 inference(quant_inst,[status(thm)],[])).
% 15.28/10.49 tff(17511,plain,
% 15.28/10.49 ((~![VarNext: $i] : ((~v100(VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v129(VarNext, B))))) | (~v100(constB112)) | ![B: $i] : ((~less_3(B)) | (v90(constB112, B) <=> v129(constB112, B)))),
% 15.28/10.49 inference(modus_ponens,[status(thm)],[17510, 17509])).
% 15.28/10.49 tff(17512,plain,
% 15.28/10.49 ((~v100(constB112)) | ![B: $i] : ((~less_3(B)) | (v90(constB112, B) <=> v129(constB112, B)))),
% 15.28/10.49 inference(unit_resolution,[status(thm)],[17511, 5134])).
% 15.28/10.49 tff(17513,plain,
% 15.28/10.49 (![B: $i] : ((~less_3(B)) | (v90(constB112, B) <=> v129(constB112, B)))),
% 15.28/10.49 inference(unit_resolution,[status(thm)],[17512, 17508])).
% 15.28/10.49 tff(17514,plain,
% 15.28/10.49 (((~![B: $i] : ((~less_3(B)) | (v90(constB112, B) <=> v129(constB112, B)))) | ((~less_3(bitIndex2)) | (v90(constB112, bitIndex2) <=> v129(constB112, bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v90(constB112, B) <=> v129(constB112, B)))) | (~less_3(bitIndex2)) | (v90(constB112, bitIndex2) <=> v129(constB112, bitIndex2)))),
% 15.28/10.49 inference(rewrite,[status(thm)],[])).
% 15.28/10.49 tff(17515,plain,
% 15.28/10.49 ((~![B: $i] : ((~less_3(B)) | (v90(constB112, B) <=> v129(constB112, B)))) | ((~less_3(bitIndex2)) | (v90(constB112, bitIndex2) <=> v129(constB112, bitIndex2)))),
% 15.28/10.49 inference(quant_inst,[status(thm)],[])).
% 15.28/10.49 tff(17516,plain,
% 15.28/10.49 ((~![B: $i] : ((~less_3(B)) | (v90(constB112, B) <=> v129(constB112, B)))) | (~less_3(bitIndex2)) | (v90(constB112, bitIndex2) <=> v129(constB112, bitIndex2))),
% 15.28/10.49 inference(modus_ponens,[status(thm)],[17515, 17514])).
% 15.28/10.49 tff(17517,plain,
% 15.28/10.49 (v90(constB112, bitIndex2) <=> v129(constB112, bitIndex2)),
% 15.28/10.49 inference(unit_resolution,[status(thm)],[17516, 413, 17513])).
% 15.28/10.49 tff(17518,plain,
% 15.28/10.49 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v129(VarNext, B) <=> v127(VarCurr, B))))) | ((~nextState(constB111, constB112)) | ![B: $i] : ((~less_3(B)) | (v129(constB112, B) <=> v127(constB111, B))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v129(VarNext, B) <=> v127(VarCurr, B))))) | (~nextState(constB111, constB112)) | ![B: $i] : ((~less_3(B)) | (v129(constB112, B) <=> v127(constB111, B))))),
% 15.28/10.49 inference(rewrite,[status(thm)],[])).
% 15.28/10.49 tff(17519,plain,
% 15.28/10.49 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v129(VarNext, B) <=> v127(VarCurr, B))))) | ((~nextState(constB111, constB112)) | ![B: $i] : ((~less_3(B)) | (v129(constB112, B) <=> v127(constB111, B))))),
% 15.28/10.49 inference(quant_inst,[status(thm)],[])).
% 15.28/10.49 tff(17520,plain,
% 15.28/10.49 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v129(VarNext, B) <=> v127(VarCurr, B))))) | (~nextState(constB111, constB112)) | ![B: $i] : ((~less_3(B)) | (v129(constB112, B) <=> v127(constB111, B)))),
% 15.28/10.49 inference(modus_ponens,[status(thm)],[17519, 17518])).
% 15.28/10.49 tff(17521,plain,
% 15.28/10.49 (![B: $i] : ((~less_3(B)) | (v129(constB112, B) <=> v127(constB111, B)))),
% 15.28/10.49 inference(unit_resolution,[status(thm)],[17520, 15317, 5156])).
% 15.28/10.49 tff(17522,plain,
% 15.28/10.49 (((~![B: $i] : ((~less_3(B)) | (v129(constB112, B) <=> v127(constB111, B)))) | ((~less_3(bitIndex2)) | (v129(constB112, bitIndex2) <=> v127(constB111, bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v129(constB112, B) <=> v127(constB111, B)))) | (~less_3(bitIndex2)) | (v129(constB112, bitIndex2) <=> v127(constB111, bitIndex2)))),
% 15.28/10.49 inference(rewrite,[status(thm)],[])).
% 15.28/10.49 tff(17523,plain,
% 15.28/10.49 ((~![B: $i] : ((~less_3(B)) | (v129(constB112, B) <=> v127(constB111, B)))) | ((~less_3(bitIndex2)) | (v129(constB112, bitIndex2) <=> v127(constB111, bitIndex2)))),
% 15.28/10.49 inference(quant_inst,[status(thm)],[])).
% 15.28/10.50 tff(17524,plain,
% 15.28/10.50 ((~![B: $i] : ((~less_3(B)) | (v129(constB112, B) <=> v127(constB111, B)))) | (~less_3(bitIndex2)) | (v129(constB112, bitIndex2) <=> v127(constB111, bitIndex2))),
% 15.28/10.50 inference(modus_ponens,[status(thm)],[17523, 17522])).
% 15.28/10.50 tff(17525,plain,
% 15.28/10.50 (v129(constB112, bitIndex2) <=> v127(constB111, bitIndex2)),
% 15.28/10.50 inference(unit_resolution,[status(thm)],[17524, 413, 17521])).
% 15.28/10.50 tff(17526,plain,
% 15.28/10.50 (((~![VarCurr: $i] : (v111(VarCurr) | ![B: $i] : ((~less_3(B)) | (v127(VarCurr, B) <=> v130(VarCurr, B))))) | (v111(constB111) | ![B: $i] : ((~less_3(B)) | (v127(constB111, B) <=> v130(constB111, B))))) <=> ((~![VarCurr: $i] : (v111(VarCurr) | ![B: $i] : ((~less_3(B)) | (v127(VarCurr, B) <=> v130(VarCurr, B))))) | v111(constB111) | ![B: $i] : ((~less_3(B)) | (v127(constB111, B) <=> v130(constB111, B))))),
% 15.28/10.50 inference(rewrite,[status(thm)],[])).
% 15.28/10.50 tff(17527,plain,
% 15.28/10.50 ((~![VarCurr: $i] : (v111(VarCurr) | ![B: $i] : ((~less_3(B)) | (v127(VarCurr, B) <=> v130(VarCurr, B))))) | (v111(constB111) | ![B: $i] : ((~less_3(B)) | (v127(constB111, B) <=> v130(constB111, B))))),
% 15.28/10.50 inference(quant_inst,[status(thm)],[])).
% 15.28/10.50 tff(17528,plain,
% 15.28/10.50 ((~![VarCurr: $i] : (v111(VarCurr) | ![B: $i] : ((~less_3(B)) | (v127(VarCurr, B) <=> v130(VarCurr, B))))) | v111(constB111) | ![B: $i] : ((~less_3(B)) | (v127(constB111, B) <=> v130(constB111, B)))),
% 15.28/10.50 inference(modus_ponens,[status(thm)],[17527, 17526])).
% 15.28/10.50 tff(17529,plain,
% 15.28/10.50 (![B: $i] : ((~less_3(B)) | (v127(constB111, B) <=> v130(constB111, B)))),
% 15.28/10.50 inference(unit_resolution,[status(thm)],[17528, 5177, 17490])).
% 15.28/10.50 tff(17530,plain,
% 15.28/10.50 (((~![B: $i] : ((~less_3(B)) | (v127(constB111, B) <=> v130(constB111, B)))) | ((~less_3(bitIndex2)) | (v127(constB111, bitIndex2) <=> v130(constB111, bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v127(constB111, B) <=> v130(constB111, B)))) | (~less_3(bitIndex2)) | (v127(constB111, bitIndex2) <=> v130(constB111, bitIndex2)))),
% 15.28/10.50 inference(rewrite,[status(thm)],[])).
% 15.28/10.50 tff(17531,plain,
% 15.28/10.50 ((~![B: $i] : ((~less_3(B)) | (v127(constB111, B) <=> v130(constB111, B)))) | ((~less_3(bitIndex2)) | (v127(constB111, bitIndex2) <=> v130(constB111, bitIndex2)))),
% 15.28/10.50 inference(quant_inst,[status(thm)],[])).
% 15.28/10.50 tff(17532,plain,
% 15.28/10.50 ((~![B: $i] : ((~less_3(B)) | (v127(constB111, B) <=> v130(constB111, B)))) | (~less_3(bitIndex2)) | (v127(constB111, bitIndex2) <=> v130(constB111, bitIndex2))),
% 15.28/10.50 inference(modus_ponens,[status(thm)],[17531, 17530])).
% 15.28/10.50 tff(17533,plain,
% 15.28/10.50 (v127(constB111, bitIndex2) <=> v130(constB111, bitIndex2)),
% 15.28/10.50 inference(unit_resolution,[status(thm)],[17532, 413, 17529])).
% 15.28/10.50 tff(17534,plain,
% 15.28/10.50 (((~![VarCurr: $i] : ((~v122(VarCurr)) | ![B: $i] : ((~less_3(B)) | (v130(VarCurr, B) <=> b100(B))))) | ((~v122(constB111)) | ![B: $i] : ((~less_3(B)) | (v130(constB111, B) <=> b100(B))))) <=> ((~![VarCurr: $i] : ((~v122(VarCurr)) | ![B: $i] : ((~less_3(B)) | (v130(VarCurr, B) <=> b100(B))))) | (~v122(constB111)) | ![B: $i] : ((~less_3(B)) | (v130(constB111, B) <=> b100(B))))),
% 15.28/10.50 inference(rewrite,[status(thm)],[])).
% 15.28/10.50 tff(17535,plain,
% 15.28/10.50 ((~![VarCurr: $i] : ((~v122(VarCurr)) | ![B: $i] : ((~less_3(B)) | (v130(VarCurr, B) <=> b100(B))))) | ((~v122(constB111)) | ![B: $i] : ((~less_3(B)) | (v130(constB111, B) <=> b100(B))))),
% 15.28/10.50 inference(quant_inst,[status(thm)],[])).
% 15.28/10.50 tff(17536,plain,
% 15.28/10.50 ((~![VarCurr: $i] : ((~v122(VarCurr)) | ![B: $i] : ((~less_3(B)) | (v130(VarCurr, B) <=> b100(B))))) | (~v122(constB111)) | ![B: $i] : ((~less_3(B)) | (v130(constB111, B) <=> b100(B)))),
% 15.28/10.50 inference(modus_ponens,[status(thm)],[17535, 17534])).
% 15.28/10.50 tff(17537,plain,
% 15.28/10.50 ((~v122(constB111)) | ![B: $i] : ((~less_3(B)) | (v130(constB111, B) <=> b100(B)))),
% 15.28/10.50 inference(unit_resolution,[status(thm)],[17536, 6153])).
% 15.28/10.50 tff(17538,plain,
% 15.28/10.50 (![B: $i] : ((~less_3(B)) | (v130(constB111, B) <=> b100(B)))),
% 15.28/10.50 inference(unit_resolution,[status(thm)],[17537, 17465])).
% 15.28/10.50 tff(17539,plain,
% 15.28/10.50 (((~![B: $i] : ((~less_3(B)) | (v130(constB111, B) <=> b100(B)))) | ((~less_3(bitIndex2)) | (v130(constB111, bitIndex2) <=> b100(bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v130(constB111, B) <=> b100(B)))) | (~less_3(bitIndex2)) | (v130(constB111, bitIndex2) <=> b100(bitIndex2)))),
% 15.28/10.50 inference(rewrite,[status(thm)],[])).
% 15.28/10.50 tff(17540,plain,
% 15.28/10.50 ((~![B: $i] : ((~less_3(B)) | (v130(constB111, B) <=> b100(B)))) | ((~less_3(bitIndex2)) | (v130(constB111, bitIndex2) <=> b100(bitIndex2)))),
% 15.28/10.50 inference(quant_inst,[status(thm)],[])).
% 15.28/10.50 tff(17541,plain,
% 15.28/10.50 ((~![B: $i] : ((~less_3(B)) | (v130(constB111, B) <=> b100(B)))) | (~less_3(bitIndex2)) | (v130(constB111, bitIndex2) <=> b100(bitIndex2))),
% 15.28/10.50 inference(modus_ponens,[status(thm)],[17540, 17539])).
% 15.28/10.50 tff(17542,plain,
% 15.28/10.50 (v130(constB111, bitIndex2) <=> b100(bitIndex2)),
% 15.28/10.50 inference(unit_resolution,[status(thm)],[17541, 413, 17538])).
% 15.28/10.50 tff(17543,plain,
% 15.28/10.50 ((~(v130(constB111, bitIndex2) <=> b100(bitIndex2))) | v130(constB111, bitIndex2) | (~b100(bitIndex2))),
% 15.28/10.50 inference(tautology,[status(thm)],[])).
% 15.28/10.50 tff(17544,plain,
% 15.28/10.50 ((~(v130(constB111, bitIndex2) <=> b100(bitIndex2))) | v130(constB111, bitIndex2)),
% 15.28/10.50 inference(unit_resolution,[status(thm)],[17543, 5209])).
% 15.28/10.50 tff(17545,plain,
% 15.28/10.50 (v130(constB111, bitIndex2)),
% 15.28/10.50 inference(unit_resolution,[status(thm)],[17544, 17542])).
% 15.28/10.50 tff(17546,plain,
% 15.28/10.50 ((~(v127(constB111, bitIndex2) <=> v130(constB111, bitIndex2))) | v127(constB111, bitIndex2) | (~v130(constB111, bitIndex2))),
% 15.28/10.50 inference(tautology,[status(thm)],[])).
% 15.28/10.50 tff(17547,plain,
% 15.28/10.50 (v127(constB111, bitIndex2)),
% 15.28/10.50 inference(unit_resolution,[status(thm)],[17546, 17545, 17533])).
% 15.28/10.50 tff(17548,plain,
% 15.28/10.50 ((~(v129(constB112, bitIndex2) <=> v127(constB111, bitIndex2))) | v129(constB112, bitIndex2) | (~v127(constB111, bitIndex2))),
% 15.28/10.50 inference(tautology,[status(thm)],[])).
% 15.28/10.50 tff(17549,plain,
% 15.28/10.50 (v129(constB112, bitIndex2)),
% 15.28/10.50 inference(unit_resolution,[status(thm)],[17548, 17547, 17525])).
% 15.28/10.50 tff(17550,plain,
% 15.28/10.50 ((~(v90(constB112, bitIndex2) <=> v129(constB112, bitIndex2))) | v90(constB112, bitIndex2) | (~v129(constB112, bitIndex2))),
% 15.28/10.50 inference(tautology,[status(thm)],[])).
% 15.28/10.50 tff(17551,plain,
% 15.28/10.50 (v90(constB112, bitIndex2)),
% 15.28/10.50 inference(unit_resolution,[status(thm)],[17550, 17549, 17517])).
% 15.28/10.50 tff(17552,plain,
% 15.28/10.50 ((~(v90(constB113, bitIndex2) <=> v90(constB112, bitIndex2))) | v90(constB113, bitIndex2) | (~v90(constB112, bitIndex2))),
% 15.28/10.50 inference(tautology,[status(thm)],[])).
% 15.28/10.50 tff(17553,plain,
% 15.28/10.50 (v90(constB113, bitIndex2)),
% 15.28/10.50 inference(unit_resolution,[status(thm)],[17552, 17551, 15314])).
% 15.28/10.50 tff(17554,plain,
% 15.28/10.50 (((~![B: $i] : ((~less_3(B)) | (v90(constB113, B) <=> v90(constB112, B)))) | ((~less_3(bitIndex0)) | (v90(constB113, bitIndex0) <=> v90(constB112, bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v90(constB113, B) <=> v90(constB112, B)))) | (~less_3(bitIndex0)) | (v90(constB113, bitIndex0) <=> v90(constB112, bitIndex0)))),
% 15.28/10.50 inference(rewrite,[status(thm)],[])).
% 15.28/10.50 tff(17555,plain,
% 15.28/10.50 ((~![B: $i] : ((~less_3(B)) | (v90(constB113, B) <=> v90(constB112, B)))) | ((~less_3(bitIndex0)) | (v90(constB113, bitIndex0) <=> v90(constB112, bitIndex0)))),
% 15.28/10.50 inference(quant_inst,[status(thm)],[])).
% 15.28/10.50 tff(17556,plain,
% 15.28/10.50 ((~![B: $i] : ((~less_3(B)) | (v90(constB113, B) <=> v90(constB112, B)))) | (~less_3(bitIndex0)) | (v90(constB113, bitIndex0) <=> v90(constB112, bitIndex0))),
% 15.28/10.50 inference(modus_ponens,[status(thm)],[17555, 17554])).
% 15.28/10.50 tff(17557,plain,
% 15.28/10.50 (v90(constB113, bitIndex0) <=> v90(constB112, bitIndex0)),
% 15.28/10.50 inference(unit_resolution,[status(thm)],[17556, 5004, 15310])).
% 15.28/10.50 tff(17558,plain,
% 15.28/10.50 (((~![B: $i] : ((~less_3(B)) | (v90(constB112, B) <=> v129(constB112, B)))) | ((~less_3(bitIndex0)) | (v90(constB112, bitIndex0) <=> v129(constB112, bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v90(constB112, B) <=> v129(constB112, B)))) | (~less_3(bitIndex0)) | (v90(constB112, bitIndex0) <=> v129(constB112, bitIndex0)))),
% 15.28/10.50 inference(rewrite,[status(thm)],[])).
% 15.28/10.50 tff(17559,plain,
% 15.28/10.50 ((~![B: $i] : ((~less_3(B)) | (v90(constB112, B) <=> v129(constB112, B)))) | ((~less_3(bitIndex0)) | (v90(constB112, bitIndex0) <=> v129(constB112, bitIndex0)))),
% 15.28/10.50 inference(quant_inst,[status(thm)],[])).
% 15.28/10.50 tff(17560,plain,
% 15.28/10.50 ((~![B: $i] : ((~less_3(B)) | (v90(constB112, B) <=> v129(constB112, B)))) | (~less_3(bitIndex0)) | (v90(constB112, bitIndex0) <=> v129(constB112, bitIndex0))),
% 15.28/10.50 inference(modus_ponens,[status(thm)],[17559, 17558])).
% 15.28/10.50 tff(17561,plain,
% 15.28/10.50 (v90(constB112, bitIndex0) <=> v129(constB112, bitIndex0)),
% 15.28/10.50 inference(unit_resolution,[status(thm)],[17560, 5004, 17513])).
% 15.28/10.50 tff(17562,plain,
% 15.28/10.50 (((~![B: $i] : ((~less_3(B)) | (v129(constB112, B) <=> v127(constB111, B)))) | ((~less_3(bitIndex0)) | (v129(constB112, bitIndex0) <=> v127(constB111, bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v129(constB112, B) <=> v127(constB111, B)))) | (~less_3(bitIndex0)) | (v129(constB112, bitIndex0) <=> v127(constB111, bitIndex0)))),
% 15.28/10.50 inference(rewrite,[status(thm)],[])).
% 15.28/10.50 tff(17563,plain,
% 15.28/10.50 ((~![B: $i] : ((~less_3(B)) | (v129(constB112, B) <=> v127(constB111, B)))) | ((~less_3(bitIndex0)) | (v129(constB112, bitIndex0) <=> v127(constB111, bitIndex0)))),
% 15.28/10.50 inference(quant_inst,[status(thm)],[])).
% 15.28/10.50 tff(17564,plain,
% 15.28/10.50 ((~![B: $i] : ((~less_3(B)) | (v129(constB112, B) <=> v127(constB111, B)))) | (~less_3(bitIndex0)) | (v129(constB112, bitIndex0) <=> v127(constB111, bitIndex0))),
% 15.28/10.50 inference(modus_ponens,[status(thm)],[17563, 17562])).
% 15.28/10.50 tff(17565,plain,
% 15.28/10.50 (v129(constB112, bitIndex0) <=> v127(constB111, bitIndex0)),
% 15.28/10.50 inference(unit_resolution,[status(thm)],[17564, 5004, 17521])).
% 15.28/10.50 tff(17566,plain,
% 15.28/10.50 (((~![B: $i] : ((~less_3(B)) | (v127(constB111, B) <=> v130(constB111, B)))) | ((~less_3(bitIndex0)) | (v127(constB111, bitIndex0) <=> v130(constB111, bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v127(constB111, B) <=> v130(constB111, B)))) | (~less_3(bitIndex0)) | (v127(constB111, bitIndex0) <=> v130(constB111, bitIndex0)))),
% 15.28/10.50 inference(rewrite,[status(thm)],[])).
% 15.28/10.50 tff(17567,plain,
% 15.28/10.50 ((~![B: $i] : ((~less_3(B)) | (v127(constB111, B) <=> v130(constB111, B)))) | ((~less_3(bitIndex0)) | (v127(constB111, bitIndex0) <=> v130(constB111, bitIndex0)))),
% 15.28/10.50 inference(quant_inst,[status(thm)],[])).
% 15.28/10.50 tff(17568,plain,
% 15.28/10.50 ((~![B: $i] : ((~less_3(B)) | (v127(constB111, B) <=> v130(constB111, B)))) | (~less_3(bitIndex0)) | (v127(constB111, bitIndex0) <=> v130(constB111, bitIndex0))),
% 15.28/10.50 inference(modus_ponens,[status(thm)],[17567, 17566])).
% 15.28/10.50 tff(17569,plain,
% 15.28/10.50 (v127(constB111, bitIndex0) <=> v130(constB111, bitIndex0)),
% 15.28/10.50 inference(unit_resolution,[status(thm)],[17568, 5004, 17529])).
% 15.28/10.50 tff(17570,plain,
% 15.28/10.50 (((~![B: $i] : ((~less_3(B)) | (v130(constB111, B) <=> b100(B)))) | ((~less_3(bitIndex0)) | (v130(constB111, bitIndex0) <=> b100(bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v130(constB111, B) <=> b100(B)))) | (~less_3(bitIndex0)) | (v130(constB111, bitIndex0) <=> b100(bitIndex0)))),
% 15.28/10.50 inference(rewrite,[status(thm)],[])).
% 15.28/10.50 tff(17571,plain,
% 15.28/10.50 ((~![B: $i] : ((~less_3(B)) | (v130(constB111, B) <=> b100(B)))) | ((~less_3(bitIndex0)) | (v130(constB111, bitIndex0) <=> b100(bitIndex0)))),
% 15.28/10.50 inference(quant_inst,[status(thm)],[])).
% 15.28/10.50 tff(17572,plain,
% 15.28/10.50 ((~![B: $i] : ((~less_3(B)) | (v130(constB111, B) <=> b100(B)))) | (~less_3(bitIndex0)) | (v130(constB111, bitIndex0) <=> b100(bitIndex0))),
% 15.28/10.50 inference(modus_ponens,[status(thm)],[17571, 17570])).
% 15.28/10.50 tff(17573,plain,
% 15.28/10.50 (v130(constB111, bitIndex0) <=> b100(bitIndex0)),
% 15.28/10.50 inference(unit_resolution,[status(thm)],[17572, 5004, 17538])).
% 15.28/10.50 tff(17574,plain,
% 15.28/10.50 ((~(v130(constB111, bitIndex0) <=> b100(bitIndex0))) | (~v130(constB111, bitIndex0)) | b100(bitIndex0)),
% 15.28/10.50 inference(tautology,[status(thm)],[])).
% 15.28/10.50 tff(17575,plain,
% 15.28/10.50 ((~(v130(constB111, bitIndex0) <=> b100(bitIndex0))) | (~v130(constB111, bitIndex0))),
% 15.28/10.50 inference(unit_resolution,[status(thm)],[17574, 5243])).
% 15.28/10.50 tff(17576,plain,
% 15.28/10.50 (~v130(constB111, bitIndex0)),
% 15.28/10.50 inference(unit_resolution,[status(thm)],[17575, 17573])).
% 15.28/10.50 tff(17577,plain,
% 15.28/10.50 ((~(v127(constB111, bitIndex0) <=> v130(constB111, bitIndex0))) | (~v127(constB111, bitIndex0)) | v130(constB111, bitIndex0)),
% 15.28/10.50 inference(tautology,[status(thm)],[])).
% 15.28/10.50 tff(17578,plain,
% 15.28/10.50 (~v127(constB111, bitIndex0)),
% 15.28/10.50 inference(unit_resolution,[status(thm)],[17577, 17576, 17569])).
% 15.28/10.50 tff(17579,plain,
% 15.28/10.50 ((~(v129(constB112, bitIndex0) <=> v127(constB111, bitIndex0))) | (~v129(constB112, bitIndex0)) | v127(constB111, bitIndex0)),
% 15.28/10.50 inference(tautology,[status(thm)],[])).
% 15.28/10.50 tff(17580,plain,
% 15.28/10.50 (~v129(constB112, bitIndex0)),
% 15.28/10.50 inference(unit_resolution,[status(thm)],[17579, 17578, 17565])).
% 15.28/10.50 tff(17581,plain,
% 15.28/10.50 ((~(v90(constB112, bitIndex0) <=> v129(constB112, bitIndex0))) | (~v90(constB112, bitIndex0)) | v129(constB112, bitIndex0)),
% 15.28/10.50 inference(tautology,[status(thm)],[])).
% 15.28/10.50 tff(17582,plain,
% 15.28/10.50 (~v90(constB112, bitIndex0)),
% 15.28/10.50 inference(unit_resolution,[status(thm)],[17581, 17580, 17561])).
% 15.28/10.50 tff(17583,plain,
% 15.28/10.50 ((~(v90(constB113, bitIndex0) <=> v90(constB112, bitIndex0))) | (~v90(constB113, bitIndex0)) | v90(constB112, bitIndex0)),
% 15.28/10.50 inference(tautology,[status(thm)],[])).
% 15.28/10.50 tff(17584,plain,
% 15.28/10.50 (~v90(constB113, bitIndex0)),
% 15.28/10.50 inference(unit_resolution,[status(thm)],[17583, 17582, 17557])).
% 15.28/10.50 tff(17585,plain,
% 15.28/10.50 (((~![B: $i] : ((~less_3(B)) | (v90(constB113, B) <=> v90(constB112, B)))) | ((~less_3(bitIndex1)) | (v90(constB113, bitIndex1) <=> v90(constB112, bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v90(constB113, B) <=> v90(constB112, B)))) | (~less_3(bitIndex1)) | (v90(constB113, bitIndex1) <=> v90(constB112, bitIndex1)))),
% 15.28/10.50 inference(rewrite,[status(thm)],[])).
% 15.28/10.50 tff(17586,plain,
% 15.28/10.50 ((~![B: $i] : ((~less_3(B)) | (v90(constB113, B) <=> v90(constB112, B)))) | ((~less_3(bitIndex1)) | (v90(constB113, bitIndex1) <=> v90(constB112, bitIndex1)))),
% 15.28/10.50 inference(quant_inst,[status(thm)],[])).
% 15.28/10.50 tff(17587,plain,
% 15.28/10.50 ((~![B: $i] : ((~less_3(B)) | (v90(constB113, B) <=> v90(constB112, B)))) | (~less_3(bitIndex1)) | (v90(constB113, bitIndex1) <=> v90(constB112, bitIndex1))),
% 15.28/10.50 inference(modus_ponens,[status(thm)],[17586, 17585])).
% 15.28/10.50 tff(17588,plain,
% 15.28/10.50 (v90(constB113, bitIndex1) <=> v90(constB112, bitIndex1)),
% 15.28/10.50 inference(unit_resolution,[status(thm)],[17587, 5017, 15310])).
% 15.28/10.50 tff(17589,plain,
% 15.28/10.50 (((~![B: $i] : ((~less_3(B)) | (v90(constB112, B) <=> v129(constB112, B)))) | ((~less_3(bitIndex1)) | (v90(constB112, bitIndex1) <=> v129(constB112, bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v90(constB112, B) <=> v129(constB112, B)))) | (~less_3(bitIndex1)) | (v90(constB112, bitIndex1) <=> v129(constB112, bitIndex1)))),
% 15.28/10.50 inference(rewrite,[status(thm)],[])).
% 15.28/10.50 tff(17590,plain,
% 15.28/10.50 ((~![B: $i] : ((~less_3(B)) | (v90(constB112, B) <=> v129(constB112, B)))) | ((~less_3(bitIndex1)) | (v90(constB112, bitIndex1) <=> v129(constB112, bitIndex1)))),
% 15.28/10.50 inference(quant_inst,[status(thm)],[])).
% 15.28/10.50 tff(17591,plain,
% 15.28/10.50 ((~![B: $i] : ((~less_3(B)) | (v90(constB112, B) <=> v129(constB112, B)))) | (~less_3(bitIndex1)) | (v90(constB112, bitIndex1) <=> v129(constB112, bitIndex1))),
% 15.28/10.50 inference(modus_ponens,[status(thm)],[17590, 17589])).
% 15.28/10.50 tff(17592,plain,
% 15.28/10.50 (v90(constB112, bitIndex1) <=> v129(constB112, bitIndex1)),
% 15.28/10.50 inference(unit_resolution,[status(thm)],[17591, 5017, 17513])).
% 15.28/10.50 tff(17593,plain,
% 15.28/10.50 (((~![B: $i] : ((~less_3(B)) | (v129(constB112, B) <=> v127(constB111, B)))) | ((~less_3(bitIndex1)) | (v129(constB112, bitIndex1) <=> v127(constB111, bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v129(constB112, B) <=> v127(constB111, B)))) | (~less_3(bitIndex1)) | (v129(constB112, bitIndex1) <=> v127(constB111, bitIndex1)))),
% 15.28/10.50 inference(rewrite,[status(thm)],[])).
% 15.28/10.50 tff(17594,plain,
% 15.28/10.50 ((~![B: $i] : ((~less_3(B)) | (v129(constB112, B) <=> v127(constB111, B)))) | ((~less_3(bitIndex1)) | (v129(constB112, bitIndex1) <=> v127(constB111, bitIndex1)))),
% 15.28/10.50 inference(quant_inst,[status(thm)],[])).
% 15.28/10.50 tff(17595,plain,
% 15.28/10.50 ((~![B: $i] : ((~less_3(B)) | (v129(constB112, B) <=> v127(constB111, B)))) | (~less_3(bitIndex1)) | (v129(constB112, bitIndex1) <=> v127(constB111, bitIndex1))),
% 15.28/10.50 inference(modus_ponens,[status(thm)],[17594, 17593])).
% 15.28/10.50 tff(17596,plain,
% 15.28/10.50 (v129(constB112, bitIndex1) <=> v127(constB111, bitIndex1)),
% 15.28/10.50 inference(unit_resolution,[status(thm)],[17595, 5017, 17521])).
% 15.28/10.50 tff(17597,plain,
% 15.28/10.50 (((~![B: $i] : ((~less_3(B)) | (v127(constB111, B) <=> v130(constB111, B)))) | ((~less_3(bitIndex1)) | (v127(constB111, bitIndex1) <=> v130(constB111, bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v127(constB111, B) <=> v130(constB111, B)))) | (~less_3(bitIndex1)) | (v127(constB111, bitIndex1) <=> v130(constB111, bitIndex1)))),
% 15.28/10.50 inference(rewrite,[status(thm)],[])).
% 15.28/10.50 tff(17598,plain,
% 15.28/10.50 ((~![B: $i] : ((~less_3(B)) | (v127(constB111, B) <=> v130(constB111, B)))) | ((~less_3(bitIndex1)) | (v127(constB111, bitIndex1) <=> v130(constB111, bitIndex1)))),
% 15.28/10.50 inference(quant_inst,[status(thm)],[])).
% 15.28/10.50 tff(17599,plain,
% 15.28/10.50 ((~![B: $i] : ((~less_3(B)) | (v127(constB111, B) <=> v130(constB111, B)))) | (~less_3(bitIndex1)) | (v127(constB111, bitIndex1) <=> v130(constB111, bitIndex1))),
% 15.28/10.50 inference(modus_ponens,[status(thm)],[17598, 17597])).
% 15.28/10.50 tff(17600,plain,
% 15.28/10.50 (v127(constB111, bitIndex1) <=> v130(constB111, bitIndex1)),
% 15.28/10.50 inference(unit_resolution,[status(thm)],[17599, 5017, 17529])).
% 15.28/10.50 tff(17601,plain,
% 15.28/10.50 (((~![B: $i] : ((~less_3(B)) | (v130(constB111, B) <=> b100(B)))) | ((~less_3(bitIndex1)) | (v130(constB111, bitIndex1) <=> b100(bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v130(constB111, B) <=> b100(B)))) | (~less_3(bitIndex1)) | (v130(constB111, bitIndex1) <=> b100(bitIndex1)))),
% 15.28/10.50 inference(rewrite,[status(thm)],[])).
% 15.28/10.50 tff(17602,plain,
% 15.28/10.50 ((~![B: $i] : ((~less_3(B)) | (v130(constB111, B) <=> b100(B)))) | ((~less_3(bitIndex1)) | (v130(constB111, bitIndex1) <=> b100(bitIndex1)))),
% 15.28/10.50 inference(quant_inst,[status(thm)],[])).
% 15.28/10.50 tff(17603,plain,
% 15.28/10.50 ((~![B: $i] : ((~less_3(B)) | (v130(constB111, B) <=> b100(B)))) | (~less_3(bitIndex1)) | (v130(constB111, bitIndex1) <=> b100(bitIndex1))),
% 15.28/10.50 inference(modus_ponens,[status(thm)],[17602, 17601])).
% 15.28/10.50 tff(17604,plain,
% 15.28/10.50 (v130(constB111, bitIndex1) <=> b100(bitIndex1)),
% 15.28/10.50 inference(unit_resolution,[status(thm)],[17603, 5017, 17538])).
% 15.28/10.50 tff(17605,plain,
% 15.28/10.50 ((~(v130(constB111, bitIndex1) <=> b100(bitIndex1))) | (~v130(constB111, bitIndex1)) | b100(bitIndex1)),
% 15.28/10.50 inference(tautology,[status(thm)],[])).
% 15.28/10.50 tff(17606,plain,
% 15.28/10.50 ((~(v130(constB111, bitIndex1) <=> b100(bitIndex1))) | (~v130(constB111, bitIndex1))),
% 15.28/10.50 inference(unit_resolution,[status(thm)],[17605, 5277])).
% 15.28/10.50 tff(17607,plain,
% 15.28/10.50 (~v130(constB111, bitIndex1)),
% 15.28/10.50 inference(unit_resolution,[status(thm)],[17606, 17604])).
% 15.28/10.50 tff(17608,plain,
% 15.28/10.50 ((~(v127(constB111, bitIndex1) <=> v130(constB111, bitIndex1))) | (~v127(constB111, bitIndex1)) | v130(constB111, bitIndex1)),
% 15.28/10.50 inference(tautology,[status(thm)],[])).
% 15.28/10.50 tff(17609,plain,
% 15.28/10.50 (~v127(constB111, bitIndex1)),
% 15.28/10.50 inference(unit_resolution,[status(thm)],[17608, 17607, 17600])).
% 15.28/10.50 tff(17610,plain,
% 15.28/10.50 ((~(v129(constB112, bitIndex1) <=> v127(constB111, bitIndex1))) | (~v129(constB112, bitIndex1)) | v127(constB111, bitIndex1)),
% 15.28/10.50 inference(tautology,[status(thm)],[])).
% 15.28/10.50 tff(17611,plain,
% 15.28/10.50 (~v129(constB112, bitIndex1)),
% 15.28/10.50 inference(unit_resolution,[status(thm)],[17610, 17609, 17596])).
% 15.28/10.50 tff(17612,plain,
% 15.28/10.50 ((~(v90(constB112, bitIndex1) <=> v129(constB112, bitIndex1))) | (~v90(constB112, bitIndex1)) | v129(constB112, bitIndex1)),
% 15.28/10.50 inference(tautology,[status(thm)],[])).
% 15.28/10.50 tff(17613,plain,
% 15.28/10.50 (~v90(constB112, bitIndex1)),
% 15.28/10.50 inference(unit_resolution,[status(thm)],[17612, 17611, 17592])).
% 15.28/10.50 tff(17614,plain,
% 15.28/10.50 ((~(v90(constB113, bitIndex1) <=> v90(constB112, bitIndex1))) | (~v90(constB113, bitIndex1)) | v90(constB112, bitIndex1)),
% 15.28/10.50 inference(tautology,[status(thm)],[])).
% 15.28/10.50 tff(17615,plain,
% 15.28/10.50 (~v90(constB113, bitIndex1)),
% 15.28/10.50 inference(unit_resolution,[status(thm)],[17614, 17613, 17588])).
% 15.28/10.50 tff(17616,plain,
% 15.28/10.50 ((~((~v90(constB113, bitIndex2)) | v90(constB113, bitIndex1) | v90(constB113, bitIndex0))) | (~v90(constB113, bitIndex2)) | v90(constB113, bitIndex1) | v90(constB113, bitIndex0)),
% 15.28/10.50 inference(tautology,[status(thm)],[])).
% 15.28/10.50 tff(17617,plain,
% 15.28/10.50 (~((~v90(constB113, bitIndex2)) | v90(constB113, bitIndex1) | v90(constB113, bitIndex0))),
% 15.28/10.50 inference(unit_resolution,[status(thm)],[17616, 17615, 17584, 17553])).
% 15.28/10.50 tff(17618,plain,
% 15.28/10.50 ((~(v123(constB113) <=> (~((~v90(constB113, bitIndex2)) | v90(constB113, bitIndex1) | v90(constB113, bitIndex0))))) | v123(constB113) | ((~v90(constB113, bitIndex2)) | v90(constB113, bitIndex1) | v90(constB113, bitIndex0))),
% 15.28/10.50 inference(tautology,[status(thm)],[])).
% 15.28/10.50 tff(17619,plain,
% 15.28/10.50 (v123(constB113)),
% 15.28/10.50 inference(unit_resolution,[status(thm)],[17618, 17617, 15282])).
% 15.28/10.50 tff(17620,plain,
% 15.28/10.50 ((v116(constB113) | v123(constB113)) | (~v123(constB113))),
% 15.28/10.50 inference(tautology,[status(thm)],[])).
% 15.28/10.50 tff(17621,plain,
% 15.28/10.50 (v116(constB113) | v123(constB113)),
% 15.28/10.50 inference(unit_resolution,[status(thm)],[17620, 17619])).
% 15.28/10.50 tff(17622,plain,
% 15.28/10.50 ((~(v115(constB113) <=> (v116(constB113) | v123(constB113)))) | v115(constB113) | (~(v116(constB113) | v123(constB113)))),
% 15.28/10.50 inference(tautology,[status(thm)],[])).
% 15.28/10.50 tff(17623,plain,
% 15.28/10.50 (v115(constB113)),
% 15.28/10.50 inference(unit_resolution,[status(thm)],[17622, 17621, 15275])).
% 15.28/10.50 tff(17624,plain,
% 15.28/10.50 ((v115(constB113) | v124(constB113)) | (~v115(constB113))),
% 15.28/10.50 inference(tautology,[status(thm)],[])).
% 15.28/10.50 tff(17625,plain,
% 15.28/10.50 (v115(constB113) | v124(constB113)),
% 15.28/10.50 inference(unit_resolution,[status(thm)],[17624, 17623])).
% 15.28/10.50 tff(17626,plain,
% 15.28/10.50 ((~(v114(constB113) <=> (v115(constB113) | v124(constB113)))) | v114(constB113) | (~(v115(constB113) | v124(constB113)))),
% 15.28/10.50 inference(tautology,[status(thm)],[])).
% 15.28/10.50 tff(17627,plain,
% 15.28/10.50 (v114(constB113)),
% 15.28/10.50 inference(unit_resolution,[status(thm)],[17626, 17625, 15273])).
% 15.28/10.50 tff(17628,plain,
% 15.28/10.50 ((v114(constB113) | v125(constB113)) | (~v114(constB113))),
% 15.28/10.50 inference(tautology,[status(thm)],[])).
% 15.28/10.50 tff(17629,plain,
% 15.28/10.50 (v114(constB113) | v125(constB113)),
% 15.28/10.50 inference(unit_resolution,[status(thm)],[17628, 17627])).
% 15.28/10.50 tff(17630,plain,
% 15.28/10.50 ((~(v113(constB113) <=> (v114(constB113) | v125(constB113)))) | v113(constB113) | (~(v114(constB113) | v125(constB113)))),
% 15.28/10.50 inference(tautology,[status(thm)],[])).
% 15.28/10.50 tff(17631,plain,
% 15.28/10.50 (v113(constB113)),
% 15.28/10.50 inference(unit_resolution,[status(thm)],[17630, 17629, 15271])).
% 15.28/10.50 tff(17632,plain,
% 15.28/10.50 ((~![VarCurr: $i] : ((~v126(VarCurr)) <=> v111(VarCurr))) | ((~v126(constB113)) <=> v111(constB113))),
% 15.28/10.50 inference(quant_inst,[status(thm)],[])).
% 15.28/10.50 tff(17633,plain,
% 15.28/10.50 ((~v126(constB113)) <=> v111(constB113)),
% 15.28/10.50 inference(unit_resolution,[status(thm)],[17632, 5074])).
% 15.28/10.50 tff(17634,plain,
% 15.28/10.50 ((~![VarCurr: $i] : (v111(VarCurr) <=> v26(VarCurr))) | (v111(constB113) <=> v26(constB113))),
% 15.28/10.50 inference(quant_inst,[status(thm)],[])).
% 15.28/10.50 tff(17635,plain,
% 15.28/10.50 (v111(constB113) <=> v26(constB113)),
% 15.28/10.50 inference(unit_resolution,[status(thm)],[17634, 5086])).
% 15.28/10.50 tff(17636,plain,
% 15.28/10.50 ((~![VarCurr: $i] : (~v26(VarCurr))) | (~v26(constB113))),
% 15.28/10.50 inference(quant_inst,[status(thm)],[])).
% 15.28/10.50 tff(17637,plain,
% 15.28/10.50 (~v26(constB113)),
% 15.28/10.50 inference(unit_resolution,[status(thm)],[17636, 5098])).
% 15.28/10.50 tff(17638,plain,
% 15.28/10.50 ((~(v111(constB113) <=> v26(constB113))) | (~v111(constB113)) | v26(constB113)),
% 15.28/10.50 inference(tautology,[status(thm)],[])).
% 15.28/10.50 tff(17639,plain,
% 15.28/10.50 ((~(v111(constB113) <=> v26(constB113))) | (~v111(constB113))),
% 15.28/10.50 inference(unit_resolution,[status(thm)],[17638, 17637])).
% 15.28/10.50 tff(17640,plain,
% 15.28/10.50 (~v111(constB113)),
% 15.28/10.50 inference(unit_resolution,[status(thm)],[17639, 17635])).
% 15.28/10.50 tff(17641,plain,
% 15.28/10.50 ((~((~v126(constB113)) <=> v111(constB113))) | v126(constB113) | v111(constB113)),
% 15.28/10.50 inference(tautology,[status(thm)],[])).
% 15.28/10.50 tff(17642,plain,
% 15.28/10.50 ((~((~v126(constB113)) <=> v111(constB113))) | v126(constB113)),
% 15.28/10.50 inference(unit_resolution,[status(thm)],[17641, 17640])).
% 15.28/10.50 tff(17643,plain,
% 15.28/10.50 (v126(constB113)),
% 15.28/10.50 inference(unit_resolution,[status(thm)],[17642, 17633])).
% 15.28/10.50 tff(17644,plain,
% 15.28/10.50 ((~((~v113(constB113)) | (~v126(constB113)))) | (~v113(constB113)) | (~v126(constB113))),
% 15.28/10.50 inference(tautology,[status(thm)],[])).
% 15.28/10.50 tff(17645,plain,
% 15.28/10.50 ((~((~v113(constB113)) | (~v126(constB113)))) | (~v113(constB113))),
% 15.28/10.50 inference(unit_resolution,[status(thm)],[17644, 17643])).
% 15.28/10.50 tff(17646,plain,
% 15.28/10.50 (~((~v113(constB113)) | (~v126(constB113)))),
% 15.28/10.50 inference(unit_resolution,[status(thm)],[17645, 17631])).
% 15.28/10.50 tff(17647,plain,
% 15.28/10.50 ((~(v112(constB113) <=> (~((~v113(constB113)) | (~v126(constB113)))))) | v112(constB113) | ((~v113(constB113)) | (~v126(constB113)))),
% 15.28/10.50 inference(tautology,[status(thm)],[])).
% 15.28/10.50 tff(17648,plain,
% 15.28/10.50 (v112(constB113)),
% 15.28/10.50 inference(unit_resolution,[status(thm)],[17647, 17646, 15269])).
% 15.28/10.50 tff(17649,plain,
% 15.28/10.50 ((v111(constB113) | v112(constB113)) | (~v112(constB113))),
% 15.28/10.50 inference(tautology,[status(thm)],[])).
% 15.28/10.50 tff(17650,plain,
% 15.28/10.50 (v111(constB113) | v112(constB113)),
% 15.28/10.50 inference(unit_resolution,[status(thm)],[17649, 17648])).
% 15.28/10.50 tff(17651,plain,
% 15.28/10.50 ((~(v108(constB113) <=> (v111(constB113) | v112(constB113)))) | v108(constB113) | (~(v111(constB113) | v112(constB113)))),
% 15.28/10.50 inference(tautology,[status(thm)],[])).
% 15.28/10.50 tff(17652,plain,
% 15.28/10.50 (v108(constB113)),
% 15.28/10.50 inference(unit_resolution,[status(thm)],[17651, 17650, 15267])).
% 15.28/10.50 tff(17653,plain,
% 15.28/10.50 ((~(v110(constB114) <=> v108(constB113))) | v110(constB114) | (~v108(constB113))),
% 15.28/10.50 inference(tautology,[status(thm)],[])).
% 15.28/10.50 tff(17654,plain,
% 15.28/10.50 (v110(constB114)),
% 15.28/10.50 inference(unit_resolution,[status(thm)],[17653, 17652, 15265])).
% 15.28/10.50 tff(17655,plain,
% 15.28/10.50 ((~((~v101(constB114)) | (~v110(constB114)))) | (~v101(constB114)) | (~v110(constB114))),
% 15.28/10.50 inference(tautology,[status(thm)],[])).
% 15.28/10.50 tff(17656,plain,
% 15.28/10.50 (~((~v101(constB114)) | (~v110(constB114)))),
% 15.28/10.50 inference(unit_resolution,[status(thm)],[17655, 17654, 15261])).
% 15.28/10.50 tff(17657,plain,
% 15.28/10.50 ((~(v100(constB114) <=> (~((~v101(constB114)) | (~v110(constB114)))))) | v100(constB114) | ((~v101(constB114)) | (~v110(constB114)))),
% 15.28/10.50 inference(tautology,[status(thm)],[])).
% 15.28/10.50 tff(17658,plain,
% 15.28/10.50 (v100(constB114)),
% 15.28/10.50 inference(unit_resolution,[status(thm)],[17657, 17656, 15230])).
% 15.28/10.50 tff(17659,plain,
% 15.28/10.50 (((~![VarNext: $i] : ((~v100(VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v129(VarNext, B))))) | ((~v100(constB114)) | ![B: $i] : ((~less_3(B)) | (v90(constB114, B) <=> v129(constB114, B))))) <=> ((~![VarNext: $i] : ((~v100(VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v129(VarNext, B))))) | (~v100(constB114)) | ![B: $i] : ((~less_3(B)) | (v90(constB114, B) <=> v129(constB114, B))))),
% 15.28/10.50 inference(rewrite,[status(thm)],[])).
% 15.28/10.50 tff(17660,plain,
% 15.28/10.50 ((~![VarNext: $i] : ((~v100(VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v129(VarNext, B))))) | ((~v100(constB114)) | ![B: $i] : ((~less_3(B)) | (v90(constB114, B) <=> v129(constB114, B))))),
% 15.28/10.50 inference(quant_inst,[status(thm)],[])).
% 15.28/10.50 tff(17661,plain,
% 15.28/10.50 ((~![VarNext: $i] : ((~v100(VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v129(VarNext, B))))) | (~v100(constB114)) | ![B: $i] : ((~less_3(B)) | (v90(constB114, B) <=> v129(constB114, B)))),
% 15.28/10.50 inference(modus_ponens,[status(thm)],[17660, 17659])).
% 15.28/10.50 tff(17662,plain,
% 15.28/10.50 ((~v100(constB114)) | ![B: $i] : ((~less_3(B)) | (v90(constB114, B) <=> v129(constB114, B)))),
% 15.28/10.50 inference(unit_resolution,[status(thm)],[17661, 5134])).
% 15.28/10.50 tff(17663,plain,
% 15.28/10.50 (![B: $i] : ((~less_3(B)) | (v90(constB114, B) <=> v129(constB114, B)))),
% 15.28/10.50 inference(unit_resolution,[status(thm)],[17662, 17658])).
% 15.28/10.50 tff(17664,plain,
% 15.28/10.50 (((~![B: $i] : ((~less_3(B)) | (v90(constB114, B) <=> v129(constB114, B)))) | ((~less_3(bitIndex2)) | (v90(constB114, bitIndex2) <=> v129(constB114, bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v90(constB114, B) <=> v129(constB114, B)))) | (~less_3(bitIndex2)) | (v90(constB114, bitIndex2) <=> v129(constB114, bitIndex2)))),
% 15.28/10.50 inference(rewrite,[status(thm)],[])).
% 15.28/10.50 tff(17665,plain,
% 15.28/10.50 ((~![B: $i] : ((~less_3(B)) | (v90(constB114, B) <=> v129(constB114, B)))) | ((~less_3(bitIndex2)) | (v90(constB114, bitIndex2) <=> v129(constB114, bitIndex2)))),
% 15.28/10.50 inference(quant_inst,[status(thm)],[])).
% 15.28/10.50 tff(17666,plain,
% 15.28/10.50 ((~![B: $i] : ((~less_3(B)) | (v90(constB114, B) <=> v129(constB114, B)))) | (~less_3(bitIndex2)) | (v90(constB114, bitIndex2) <=> v129(constB114, bitIndex2))),
% 15.28/10.50 inference(modus_ponens,[status(thm)],[17665, 17664])).
% 15.28/10.50 tff(17667,plain,
% 15.28/10.50 (v90(constB114, bitIndex2) <=> v129(constB114, bitIndex2)),
% 15.28/10.50 inference(unit_resolution,[status(thm)],[17666, 413, 17663])).
% 15.28/10.50 tff(17668,plain,
% 15.28/10.50 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v129(VarNext, B) <=> v127(VarCurr, B))))) | ((~nextState(constB113, constB114)) | ![B: $i] : ((~less_3(B)) | (v129(constB114, B) <=> v127(constB113, B))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v129(VarNext, B) <=> v127(VarCurr, B))))) | (~nextState(constB113, constB114)) | ![B: $i] : ((~less_3(B)) | (v129(constB114, B) <=> v127(constB113, B))))),
% 15.28/10.51 inference(rewrite,[status(thm)],[])).
% 15.28/10.51 tff(17669,plain,
% 15.28/10.51 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v129(VarNext, B) <=> v127(VarCurr, B))))) | ((~nextState(constB113, constB114)) | ![B: $i] : ((~less_3(B)) | (v129(constB114, B) <=> v127(constB113, B))))),
% 15.28/10.51 inference(quant_inst,[status(thm)],[])).
% 15.28/10.51 tff(17670,plain,
% 15.28/10.51 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v129(VarNext, B) <=> v127(VarCurr, B))))) | (~nextState(constB113, constB114)) | ![B: $i] : ((~less_3(B)) | (v129(constB114, B) <=> v127(constB113, B)))),
% 15.28/10.51 inference(modus_ponens,[status(thm)],[17669, 17668])).
% 15.28/10.51 tff(17671,plain,
% 15.28/10.51 (![B: $i] : ((~less_3(B)) | (v129(constB114, B) <=> v127(constB113, B)))),
% 15.28/10.51 inference(unit_resolution,[status(thm)],[17670, 15226, 5156])).
% 15.28/10.51 tff(17672,plain,
% 15.28/10.51 (((~![B: $i] : ((~less_3(B)) | (v129(constB114, B) <=> v127(constB113, B)))) | ((~less_3(bitIndex2)) | (v129(constB114, bitIndex2) <=> v127(constB113, bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v129(constB114, B) <=> v127(constB113, B)))) | (~less_3(bitIndex2)) | (v129(constB114, bitIndex2) <=> v127(constB113, bitIndex2)))),
% 15.28/10.51 inference(rewrite,[status(thm)],[])).
% 15.28/10.51 tff(17673,plain,
% 15.28/10.51 ((~![B: $i] : ((~less_3(B)) | (v129(constB114, B) <=> v127(constB113, B)))) | ((~less_3(bitIndex2)) | (v129(constB114, bitIndex2) <=> v127(constB113, bitIndex2)))),
% 15.28/10.51 inference(quant_inst,[status(thm)],[])).
% 15.28/10.51 tff(17674,plain,
% 15.28/10.51 ((~![B: $i] : ((~less_3(B)) | (v129(constB114, B) <=> v127(constB113, B)))) | (~less_3(bitIndex2)) | (v129(constB114, bitIndex2) <=> v127(constB113, bitIndex2))),
% 15.28/10.51 inference(modus_ponens,[status(thm)],[17673, 17672])).
% 15.28/10.51 tff(17675,plain,
% 15.28/10.51 (v129(constB114, bitIndex2) <=> v127(constB113, bitIndex2)),
% 15.28/10.51 inference(unit_resolution,[status(thm)],[17674, 413, 17671])).
% 15.28/10.51 tff(17676,plain,
% 15.28/10.51 (((~![VarCurr: $i] : (v111(VarCurr) | ![B: $i] : ((~less_3(B)) | (v127(VarCurr, B) <=> v130(VarCurr, B))))) | (v111(constB113) | ![B: $i] : ((~less_3(B)) | (v127(constB113, B) <=> v130(constB113, B))))) <=> ((~![VarCurr: $i] : (v111(VarCurr) | ![B: $i] : ((~less_3(B)) | (v127(VarCurr, B) <=> v130(VarCurr, B))))) | v111(constB113) | ![B: $i] : ((~less_3(B)) | (v127(constB113, B) <=> v130(constB113, B))))),
% 15.28/10.51 inference(rewrite,[status(thm)],[])).
% 15.28/10.51 tff(17677,plain,
% 15.28/10.51 ((~![VarCurr: $i] : (v111(VarCurr) | ![B: $i] : ((~less_3(B)) | (v127(VarCurr, B) <=> v130(VarCurr, B))))) | (v111(constB113) | ![B: $i] : ((~less_3(B)) | (v127(constB113, B) <=> v130(constB113, B))))),
% 15.28/10.51 inference(quant_inst,[status(thm)],[])).
% 15.28/10.51 tff(17678,plain,
% 15.28/10.51 ((~![VarCurr: $i] : (v111(VarCurr) | ![B: $i] : ((~less_3(B)) | (v127(VarCurr, B) <=> v130(VarCurr, B))))) | v111(constB113) | ![B: $i] : ((~less_3(B)) | (v127(constB113, B) <=> v130(constB113, B)))),
% 15.28/10.51 inference(modus_ponens,[status(thm)],[17677, 17676])).
% 15.28/10.51 tff(17679,plain,
% 15.28/10.51 (![B: $i] : ((~less_3(B)) | (v127(constB113, B) <=> v130(constB113, B)))),
% 15.28/10.51 inference(unit_resolution,[status(thm)],[17678, 5177, 17640])).
% 15.28/10.51 tff(17680,plain,
% 15.28/10.51 (((~![B: $i] : ((~less_3(B)) | (v127(constB113, B) <=> v130(constB113, B)))) | ((~less_3(bitIndex2)) | (v127(constB113, bitIndex2) <=> v130(constB113, bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v127(constB113, B) <=> v130(constB113, B)))) | (~less_3(bitIndex2)) | (v127(constB113, bitIndex2) <=> v130(constB113, bitIndex2)))),
% 15.28/10.51 inference(rewrite,[status(thm)],[])).
% 15.28/10.51 tff(17681,plain,
% 15.28/10.51 ((~![B: $i] : ((~less_3(B)) | (v127(constB113, B) <=> v130(constB113, B)))) | ((~less_3(bitIndex2)) | (v127(constB113, bitIndex2) <=> v130(constB113, bitIndex2)))),
% 15.28/10.51 inference(quant_inst,[status(thm)],[])).
% 15.28/10.51 tff(17682,plain,
% 15.28/10.51 ((~![B: $i] : ((~less_3(B)) | (v127(constB113, B) <=> v130(constB113, B)))) | (~less_3(bitIndex2)) | (v127(constB113, bitIndex2) <=> v130(constB113, bitIndex2))),
% 15.28/10.51 inference(modus_ponens,[status(thm)],[17681, 17680])).
% 15.28/10.51 tff(17683,plain,
% 15.28/10.51 (v127(constB113, bitIndex2) <=> v130(constB113, bitIndex2)),
% 15.28/10.51 inference(unit_resolution,[status(thm)],[17682, 413, 17679])).
% 15.28/10.51 tff(17684,plain,
% 15.28/10.51 (((~![VarCurr: $i] : ((~v123(VarCurr)) | ![B: $i] : ((~less_3(B)) | (v130(VarCurr, B) <=> b110(B))))) | ((~v123(constB113)) | ![B: $i] : ((~less_3(B)) | (v130(constB113, B) <=> b110(B))))) <=> ((~![VarCurr: $i] : ((~v123(VarCurr)) | ![B: $i] : ((~less_3(B)) | (v130(VarCurr, B) <=> b110(B))))) | (~v123(constB113)) | ![B: $i] : ((~less_3(B)) | (v130(constB113, B) <=> b110(B))))),
% 15.28/10.51 inference(rewrite,[status(thm)],[])).
% 15.28/10.51 tff(17685,plain,
% 15.28/10.51 ((~![VarCurr: $i] : ((~v123(VarCurr)) | ![B: $i] : ((~less_3(B)) | (v130(VarCurr, B) <=> b110(B))))) | ((~v123(constB113)) | ![B: $i] : ((~less_3(B)) | (v130(constB113, B) <=> b110(B))))),
% 15.28/10.51 inference(quant_inst,[status(thm)],[])).
% 15.28/10.51 tff(17686,plain,
% 15.28/10.51 ((~![VarCurr: $i] : ((~v123(VarCurr)) | ![B: $i] : ((~less_3(B)) | (v130(VarCurr, B) <=> b110(B))))) | (~v123(constB113)) | ![B: $i] : ((~less_3(B)) | (v130(constB113, B) <=> b110(B)))),
% 15.28/10.51 inference(modus_ponens,[status(thm)],[17685, 17684])).
% 15.28/10.51 tff(17687,plain,
% 15.28/10.51 ((~v123(constB113)) | ![B: $i] : ((~less_3(B)) | (v130(constB113, B) <=> b110(B)))),
% 15.28/10.51 inference(unit_resolution,[status(thm)],[17686, 5369])).
% 15.28/10.51 tff(17688,plain,
% 15.28/10.51 (![B: $i] : ((~less_3(B)) | (v130(constB113, B) <=> b110(B)))),
% 15.28/10.51 inference(unit_resolution,[status(thm)],[17687, 17619])).
% 15.28/10.51 tff(17689,plain,
% 15.28/10.51 (((~![B: $i] : ((~less_3(B)) | (v130(constB113, B) <=> b110(B)))) | ((~less_3(bitIndex2)) | (v130(constB113, bitIndex2) <=> b110(bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v130(constB113, B) <=> b110(B)))) | (~less_3(bitIndex2)) | (v130(constB113, bitIndex2) <=> b110(bitIndex2)))),
% 15.28/10.51 inference(rewrite,[status(thm)],[])).
% 15.28/10.51 tff(17690,plain,
% 15.28/10.51 ((~![B: $i] : ((~less_3(B)) | (v130(constB113, B) <=> b110(B)))) | ((~less_3(bitIndex2)) | (v130(constB113, bitIndex2) <=> b110(bitIndex2)))),
% 15.28/10.51 inference(quant_inst,[status(thm)],[])).
% 15.28/10.51 tff(17691,plain,
% 15.28/10.51 ((~![B: $i] : ((~less_3(B)) | (v130(constB113, B) <=> b110(B)))) | (~less_3(bitIndex2)) | (v130(constB113, bitIndex2) <=> b110(bitIndex2))),
% 15.28/10.51 inference(modus_ponens,[status(thm)],[17690, 17689])).
% 15.28/10.51 tff(17692,plain,
% 15.28/10.51 (v130(constB113, bitIndex2) <=> b110(bitIndex2)),
% 15.28/10.51 inference(unit_resolution,[status(thm)],[17691, 413, 17688])).
% 15.28/10.51 tff(17693,plain,
% 15.28/10.51 ((~(v130(constB113, bitIndex2) <=> b110(bitIndex2))) | v130(constB113, bitIndex2) | (~b110(bitIndex2))),
% 15.28/10.51 inference(tautology,[status(thm)],[])).
% 15.28/10.51 tff(17694,plain,
% 15.28/10.51 ((~(v130(constB113, bitIndex2) <=> b110(bitIndex2))) | v130(constB113, bitIndex2)),
% 15.28/10.51 inference(unit_resolution,[status(thm)],[17693, 5381])).
% 15.28/10.51 tff(17695,plain,
% 15.28/10.51 (v130(constB113, bitIndex2)),
% 15.28/10.51 inference(unit_resolution,[status(thm)],[17694, 17692])).
% 15.28/10.51 tff(17696,plain,
% 15.28/10.51 ((~(v127(constB113, bitIndex2) <=> v130(constB113, bitIndex2))) | v127(constB113, bitIndex2) | (~v130(constB113, bitIndex2))),
% 15.28/10.51 inference(tautology,[status(thm)],[])).
% 15.28/10.51 tff(17697,plain,
% 15.28/10.51 (v127(constB113, bitIndex2)),
% 15.28/10.51 inference(unit_resolution,[status(thm)],[17696, 17695, 17683])).
% 15.28/10.51 tff(17698,plain,
% 15.28/10.51 ((~(v129(constB114, bitIndex2) <=> v127(constB113, bitIndex2))) | v129(constB114, bitIndex2) | (~v127(constB113, bitIndex2))),
% 15.28/10.51 inference(tautology,[status(thm)],[])).
% 15.28/10.51 tff(17699,plain,
% 15.28/10.51 (v129(constB114, bitIndex2)),
% 15.28/10.51 inference(unit_resolution,[status(thm)],[17698, 17697, 17675])).
% 15.28/10.51 tff(17700,plain,
% 15.28/10.51 ((~(v90(constB114, bitIndex2) <=> v129(constB114, bitIndex2))) | v90(constB114, bitIndex2) | (~v129(constB114, bitIndex2))),
% 15.28/10.51 inference(tautology,[status(thm)],[])).
% 15.28/10.51 tff(17701,plain,
% 15.28/10.51 (v90(constB114, bitIndex2)),
% 15.28/10.51 inference(unit_resolution,[status(thm)],[17700, 17699, 17667])).
% 15.28/10.51 tff(17702,plain,
% 15.28/10.51 ((~(v90(constB115, bitIndex2) <=> v90(constB114, bitIndex2))) | v90(constB115, bitIndex2) | (~v90(constB114, bitIndex2))),
% 15.28/10.51 inference(tautology,[status(thm)],[])).
% 15.28/10.51 tff(17703,plain,
% 15.28/10.51 (v90(constB115, bitIndex2)),
% 15.28/10.51 inference(unit_resolution,[status(thm)],[17702, 17701, 15223])).
% 15.28/10.51 tff(17704,plain,
% 15.28/10.51 (((~![B: $i] : ((~less_3(B)) | (v90(constB115, B) <=> v90(constB114, B)))) | ((~less_3(bitIndex0)) | (v90(constB115, bitIndex0) <=> v90(constB114, bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v90(constB115, B) <=> v90(constB114, B)))) | (~less_3(bitIndex0)) | (v90(constB115, bitIndex0) <=> v90(constB114, bitIndex0)))),
% 15.28/10.51 inference(rewrite,[status(thm)],[])).
% 15.28/10.51 tff(17705,plain,
% 15.28/10.51 ((~![B: $i] : ((~less_3(B)) | (v90(constB115, B) <=> v90(constB114, B)))) | ((~less_3(bitIndex0)) | (v90(constB115, bitIndex0) <=> v90(constB114, bitIndex0)))),
% 15.28/10.51 inference(quant_inst,[status(thm)],[])).
% 15.28/10.51 tff(17706,plain,
% 15.28/10.51 ((~![B: $i] : ((~less_3(B)) | (v90(constB115, B) <=> v90(constB114, B)))) | (~less_3(bitIndex0)) | (v90(constB115, bitIndex0) <=> v90(constB114, bitIndex0))),
% 15.28/10.51 inference(modus_ponens,[status(thm)],[17705, 17704])).
% 15.28/10.51 tff(17707,plain,
% 15.28/10.51 (v90(constB115, bitIndex0) <=> v90(constB114, bitIndex0)),
% 15.28/10.51 inference(unit_resolution,[status(thm)],[17706, 5004, 15219])).
% 15.28/10.51 tff(17708,plain,
% 15.28/10.51 (((~![B: $i] : ((~less_3(B)) | (v90(constB114, B) <=> v129(constB114, B)))) | ((~less_3(bitIndex0)) | (v90(constB114, bitIndex0) <=> v129(constB114, bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v90(constB114, B) <=> v129(constB114, B)))) | (~less_3(bitIndex0)) | (v90(constB114, bitIndex0) <=> v129(constB114, bitIndex0)))),
% 15.28/10.51 inference(rewrite,[status(thm)],[])).
% 15.28/10.51 tff(17709,plain,
% 15.28/10.51 ((~![B: $i] : ((~less_3(B)) | (v90(constB114, B) <=> v129(constB114, B)))) | ((~less_3(bitIndex0)) | (v90(constB114, bitIndex0) <=> v129(constB114, bitIndex0)))),
% 15.28/10.51 inference(quant_inst,[status(thm)],[])).
% 15.28/10.51 tff(17710,plain,
% 15.28/10.51 ((~![B: $i] : ((~less_3(B)) | (v90(constB114, B) <=> v129(constB114, B)))) | (~less_3(bitIndex0)) | (v90(constB114, bitIndex0) <=> v129(constB114, bitIndex0))),
% 15.28/10.51 inference(modus_ponens,[status(thm)],[17709, 17708])).
% 15.28/10.51 tff(17711,plain,
% 15.28/10.51 (v90(constB114, bitIndex0) <=> v129(constB114, bitIndex0)),
% 15.28/10.51 inference(unit_resolution,[status(thm)],[17710, 5004, 17663])).
% 15.28/10.51 tff(17712,plain,
% 15.28/10.51 (((~![B: $i] : ((~less_3(B)) | (v129(constB114, B) <=> v127(constB113, B)))) | ((~less_3(bitIndex0)) | (v129(constB114, bitIndex0) <=> v127(constB113, bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v129(constB114, B) <=> v127(constB113, B)))) | (~less_3(bitIndex0)) | (v129(constB114, bitIndex0) <=> v127(constB113, bitIndex0)))),
% 15.28/10.51 inference(rewrite,[status(thm)],[])).
% 15.28/10.51 tff(17713,plain,
% 15.28/10.51 ((~![B: $i] : ((~less_3(B)) | (v129(constB114, B) <=> v127(constB113, B)))) | ((~less_3(bitIndex0)) | (v129(constB114, bitIndex0) <=> v127(constB113, bitIndex0)))),
% 15.28/10.51 inference(quant_inst,[status(thm)],[])).
% 15.28/10.51 tff(17714,plain,
% 15.28/10.51 ((~![B: $i] : ((~less_3(B)) | (v129(constB114, B) <=> v127(constB113, B)))) | (~less_3(bitIndex0)) | (v129(constB114, bitIndex0) <=> v127(constB113, bitIndex0))),
% 15.28/10.51 inference(modus_ponens,[status(thm)],[17713, 17712])).
% 15.28/10.51 tff(17715,plain,
% 15.28/10.51 (v129(constB114, bitIndex0) <=> v127(constB113, bitIndex0)),
% 15.28/10.51 inference(unit_resolution,[status(thm)],[17714, 5004, 17671])).
% 15.28/10.51 tff(17716,plain,
% 15.28/10.51 (((~![B: $i] : ((~less_3(B)) | (v127(constB113, B) <=> v130(constB113, B)))) | ((~less_3(bitIndex0)) | (v127(constB113, bitIndex0) <=> v130(constB113, bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v127(constB113, B) <=> v130(constB113, B)))) | (~less_3(bitIndex0)) | (v127(constB113, bitIndex0) <=> v130(constB113, bitIndex0)))),
% 15.28/10.51 inference(rewrite,[status(thm)],[])).
% 15.28/10.51 tff(17717,plain,
% 15.28/10.51 ((~![B: $i] : ((~less_3(B)) | (v127(constB113, B) <=> v130(constB113, B)))) | ((~less_3(bitIndex0)) | (v127(constB113, bitIndex0) <=> v130(constB113, bitIndex0)))),
% 15.28/10.51 inference(quant_inst,[status(thm)],[])).
% 15.28/10.51 tff(17718,plain,
% 15.28/10.51 ((~![B: $i] : ((~less_3(B)) | (v127(constB113, B) <=> v130(constB113, B)))) | (~less_3(bitIndex0)) | (v127(constB113, bitIndex0) <=> v130(constB113, bitIndex0))),
% 15.28/10.51 inference(modus_ponens,[status(thm)],[17717, 17716])).
% 15.28/10.51 tff(17719,plain,
% 15.28/10.51 (v127(constB113, bitIndex0) <=> v130(constB113, bitIndex0)),
% 15.28/10.51 inference(unit_resolution,[status(thm)],[17718, 5004, 17679])).
% 15.28/10.51 tff(17720,plain,
% 15.28/10.51 (((~![B: $i] : ((~less_3(B)) | (v130(constB113, B) <=> b110(B)))) | ((~less_3(bitIndex0)) | (v130(constB113, bitIndex0) <=> b110(bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v130(constB113, B) <=> b110(B)))) | (~less_3(bitIndex0)) | (v130(constB113, bitIndex0) <=> b110(bitIndex0)))),
% 15.28/10.51 inference(rewrite,[status(thm)],[])).
% 15.28/10.51 tff(17721,plain,
% 15.28/10.51 ((~![B: $i] : ((~less_3(B)) | (v130(constB113, B) <=> b110(B)))) | ((~less_3(bitIndex0)) | (v130(constB113, bitIndex0) <=> b110(bitIndex0)))),
% 15.28/10.51 inference(quant_inst,[status(thm)],[])).
% 15.28/10.51 tff(17722,plain,
% 15.28/10.51 ((~![B: $i] : ((~less_3(B)) | (v130(constB113, B) <=> b110(B)))) | (~less_3(bitIndex0)) | (v130(constB113, bitIndex0) <=> b110(bitIndex0))),
% 15.28/10.51 inference(modus_ponens,[status(thm)],[17721, 17720])).
% 15.28/10.51 tff(17723,plain,
% 15.28/10.51 (v130(constB113, bitIndex0) <=> b110(bitIndex0)),
% 15.28/10.51 inference(unit_resolution,[status(thm)],[17722, 5004, 17688])).
% 15.28/10.51 tff(17724,plain,
% 15.28/10.51 ((~(v130(constB113, bitIndex0) <=> b110(bitIndex0))) | (~v130(constB113, bitIndex0)) | b110(bitIndex0)),
% 15.28/10.51 inference(tautology,[status(thm)],[])).
% 15.28/10.51 tff(17725,plain,
% 15.28/10.51 ((~(v130(constB113, bitIndex0) <=> b110(bitIndex0))) | (~v130(constB113, bitIndex0))),
% 15.28/10.51 inference(unit_resolution,[status(thm)],[17724, 5415])).
% 15.28/10.51 tff(17726,plain,
% 15.28/10.51 (~v130(constB113, bitIndex0)),
% 15.28/10.51 inference(unit_resolution,[status(thm)],[17725, 17723])).
% 15.28/10.51 tff(17727,plain,
% 15.28/10.51 ((~(v127(constB113, bitIndex0) <=> v130(constB113, bitIndex0))) | (~v127(constB113, bitIndex0)) | v130(constB113, bitIndex0)),
% 15.28/10.51 inference(tautology,[status(thm)],[])).
% 15.28/10.51 tff(17728,plain,
% 15.28/10.51 (~v127(constB113, bitIndex0)),
% 15.28/10.51 inference(unit_resolution,[status(thm)],[17727, 17726, 17719])).
% 15.28/10.51 tff(17729,plain,
% 15.28/10.51 ((~(v129(constB114, bitIndex0) <=> v127(constB113, bitIndex0))) | (~v129(constB114, bitIndex0)) | v127(constB113, bitIndex0)),
% 15.28/10.51 inference(tautology,[status(thm)],[])).
% 15.28/10.51 tff(17730,plain,
% 15.28/10.51 (~v129(constB114, bitIndex0)),
% 15.28/10.51 inference(unit_resolution,[status(thm)],[17729, 17728, 17715])).
% 15.28/10.51 tff(17731,plain,
% 15.28/10.51 ((~(v90(constB114, bitIndex0) <=> v129(constB114, bitIndex0))) | (~v90(constB114, bitIndex0)) | v129(constB114, bitIndex0)),
% 15.28/10.51 inference(tautology,[status(thm)],[])).
% 15.28/10.51 tff(17732,plain,
% 15.28/10.51 (~v90(constB114, bitIndex0)),
% 15.28/10.51 inference(unit_resolution,[status(thm)],[17731, 17730, 17711])).
% 15.28/10.51 tff(17733,plain,
% 15.28/10.51 ((~(v90(constB115, bitIndex0) <=> v90(constB114, bitIndex0))) | (~v90(constB115, bitIndex0)) | v90(constB114, bitIndex0)),
% 15.28/10.51 inference(tautology,[status(thm)],[])).
% 15.28/10.51 tff(17734,plain,
% 15.28/10.51 (~v90(constB115, bitIndex0)),
% 15.28/10.51 inference(unit_resolution,[status(thm)],[17733, 17732, 17707])).
% 15.28/10.51 tff(17735,plain,
% 15.28/10.51 (((~![B: $i] : ((~less_3(B)) | (v90(constB115, B) <=> v90(constB114, B)))) | ((~less_3(bitIndex1)) | (v90(constB115, bitIndex1) <=> v90(constB114, bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v90(constB115, B) <=> v90(constB114, B)))) | (~less_3(bitIndex1)) | (v90(constB115, bitIndex1) <=> v90(constB114, bitIndex1)))),
% 15.28/10.51 inference(rewrite,[status(thm)],[])).
% 15.28/10.51 tff(17736,plain,
% 15.28/10.51 ((~![B: $i] : ((~less_3(B)) | (v90(constB115, B) <=> v90(constB114, B)))) | ((~less_3(bitIndex1)) | (v90(constB115, bitIndex1) <=> v90(constB114, bitIndex1)))),
% 15.28/10.51 inference(quant_inst,[status(thm)],[])).
% 15.28/10.51 tff(17737,plain,
% 15.28/10.51 ((~![B: $i] : ((~less_3(B)) | (v90(constB115, B) <=> v90(constB114, B)))) | (~less_3(bitIndex1)) | (v90(constB115, bitIndex1) <=> v90(constB114, bitIndex1))),
% 15.28/10.51 inference(modus_ponens,[status(thm)],[17736, 17735])).
% 15.28/10.51 tff(17738,plain,
% 15.28/10.51 (v90(constB115, bitIndex1) <=> v90(constB114, bitIndex1)),
% 15.28/10.51 inference(unit_resolution,[status(thm)],[17737, 5017, 15219])).
% 15.28/10.51 tff(17739,plain,
% 15.28/10.51 (((~![B: $i] : ((~less_3(B)) | (v90(constB114, B) <=> v129(constB114, B)))) | ((~less_3(bitIndex1)) | (v90(constB114, bitIndex1) <=> v129(constB114, bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v90(constB114, B) <=> v129(constB114, B)))) | (~less_3(bitIndex1)) | (v90(constB114, bitIndex1) <=> v129(constB114, bitIndex1)))),
% 15.28/10.51 inference(rewrite,[status(thm)],[])).
% 15.28/10.51 tff(17740,plain,
% 15.28/10.51 ((~![B: $i] : ((~less_3(B)) | (v90(constB114, B) <=> v129(constB114, B)))) | ((~less_3(bitIndex1)) | (v90(constB114, bitIndex1) <=> v129(constB114, bitIndex1)))),
% 15.28/10.51 inference(quant_inst,[status(thm)],[])).
% 15.28/10.51 tff(17741,plain,
% 15.28/10.51 ((~![B: $i] : ((~less_3(B)) | (v90(constB114, B) <=> v129(constB114, B)))) | (~less_3(bitIndex1)) | (v90(constB114, bitIndex1) <=> v129(constB114, bitIndex1))),
% 15.28/10.51 inference(modus_ponens,[status(thm)],[17740, 17739])).
% 15.28/10.51 tff(17742,plain,
% 15.28/10.51 (v90(constB114, bitIndex1) <=> v129(constB114, bitIndex1)),
% 15.28/10.51 inference(unit_resolution,[status(thm)],[17741, 5017, 17663])).
% 15.28/10.51 tff(17743,plain,
% 15.28/10.51 (((~![B: $i] : ((~less_3(B)) | (v129(constB114, B) <=> v127(constB113, B)))) | ((~less_3(bitIndex1)) | (v129(constB114, bitIndex1) <=> v127(constB113, bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v129(constB114, B) <=> v127(constB113, B)))) | (~less_3(bitIndex1)) | (v129(constB114, bitIndex1) <=> v127(constB113, bitIndex1)))),
% 15.28/10.51 inference(rewrite,[status(thm)],[])).
% 15.28/10.51 tff(17744,plain,
% 15.28/10.51 ((~![B: $i] : ((~less_3(B)) | (v129(constB114, B) <=> v127(constB113, B)))) | ((~less_3(bitIndex1)) | (v129(constB114, bitIndex1) <=> v127(constB113, bitIndex1)))),
% 15.28/10.51 inference(quant_inst,[status(thm)],[])).
% 15.28/10.51 tff(17745,plain,
% 15.28/10.51 ((~![B: $i] : ((~less_3(B)) | (v129(constB114, B) <=> v127(constB113, B)))) | (~less_3(bitIndex1)) | (v129(constB114, bitIndex1) <=> v127(constB113, bitIndex1))),
% 15.28/10.51 inference(modus_ponens,[status(thm)],[17744, 17743])).
% 15.28/10.51 tff(17746,plain,
% 15.28/10.51 (v129(constB114, bitIndex1) <=> v127(constB113, bitIndex1)),
% 15.28/10.51 inference(unit_resolution,[status(thm)],[17745, 5017, 17671])).
% 15.28/10.51 tff(17747,plain,
% 15.28/10.51 (((~![B: $i] : ((~less_3(B)) | (v127(constB113, B) <=> v130(constB113, B)))) | ((~less_3(bitIndex1)) | (v127(constB113, bitIndex1) <=> v130(constB113, bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v127(constB113, B) <=> v130(constB113, B)))) | (~less_3(bitIndex1)) | (v127(constB113, bitIndex1) <=> v130(constB113, bitIndex1)))),
% 15.28/10.51 inference(rewrite,[status(thm)],[])).
% 15.28/10.51 tff(17748,plain,
% 15.28/10.51 ((~![B: $i] : ((~less_3(B)) | (v127(constB113, B) <=> v130(constB113, B)))) | ((~less_3(bitIndex1)) | (v127(constB113, bitIndex1) <=> v130(constB113, bitIndex1)))),
% 15.28/10.51 inference(quant_inst,[status(thm)],[])).
% 15.28/10.51 tff(17749,plain,
% 15.28/10.51 ((~![B: $i] : ((~less_3(B)) | (v127(constB113, B) <=> v130(constB113, B)))) | (~less_3(bitIndex1)) | (v127(constB113, bitIndex1) <=> v130(constB113, bitIndex1))),
% 15.28/10.51 inference(modus_ponens,[status(thm)],[17748, 17747])).
% 15.28/10.51 tff(17750,plain,
% 15.28/10.51 (v127(constB113, bitIndex1) <=> v130(constB113, bitIndex1)),
% 15.28/10.51 inference(unit_resolution,[status(thm)],[17749, 5017, 17679])).
% 15.28/10.51 tff(17751,plain,
% 15.28/10.51 (((~![B: $i] : ((~less_3(B)) | (v130(constB113, B) <=> b110(B)))) | ((~less_3(bitIndex1)) | (v130(constB113, bitIndex1) <=> b110(bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v130(constB113, B) <=> b110(B)))) | (~less_3(bitIndex1)) | (v130(constB113, bitIndex1) <=> b110(bitIndex1)))),
% 15.28/10.51 inference(rewrite,[status(thm)],[])).
% 15.28/10.51 tff(17752,plain,
% 15.28/10.51 ((~![B: $i] : ((~less_3(B)) | (v130(constB113, B) <=> b110(B)))) | ((~less_3(bitIndex1)) | (v130(constB113, bitIndex1) <=> b110(bitIndex1)))),
% 15.28/10.51 inference(quant_inst,[status(thm)],[])).
% 15.28/10.51 tff(17753,plain,
% 15.28/10.51 ((~![B: $i] : ((~less_3(B)) | (v130(constB113, B) <=> b110(B)))) | (~less_3(bitIndex1)) | (v130(constB113, bitIndex1) <=> b110(bitIndex1))),
% 15.28/10.51 inference(modus_ponens,[status(thm)],[17752, 17751])).
% 15.28/10.51 tff(17754,plain,
% 15.28/10.51 (v130(constB113, bitIndex1) <=> b110(bitIndex1)),
% 15.28/10.51 inference(unit_resolution,[status(thm)],[17753, 5017, 17688])).
% 15.28/10.51 tff(17755,plain,
% 15.28/10.51 ((~(v130(constB113, bitIndex1) <=> b110(bitIndex1))) | v130(constB113, bitIndex1) | (~b110(bitIndex1))),
% 15.28/10.51 inference(tautology,[status(thm)],[])).
% 15.28/10.51 tff(17756,plain,
% 15.28/10.51 ((~(v130(constB113, bitIndex1) <=> b110(bitIndex1))) | v130(constB113, bitIndex1)),
% 15.28/10.51 inference(unit_resolution,[status(thm)],[17755, 5449])).
% 15.28/10.51 tff(17757,plain,
% 15.28/10.51 (v130(constB113, bitIndex1)),
% 15.28/10.51 inference(unit_resolution,[status(thm)],[17756, 17754])).
% 15.28/10.51 tff(17758,plain,
% 15.28/10.51 ((~(v127(constB113, bitIndex1) <=> v130(constB113, bitIndex1))) | v127(constB113, bitIndex1) | (~v130(constB113, bitIndex1))),
% 15.28/10.51 inference(tautology,[status(thm)],[])).
% 15.28/10.51 tff(17759,plain,
% 15.28/10.51 (v127(constB113, bitIndex1)),
% 15.28/10.51 inference(unit_resolution,[status(thm)],[17758, 17757, 17750])).
% 15.28/10.51 tff(17760,plain,
% 15.28/10.51 ((~(v129(constB114, bitIndex1) <=> v127(constB113, bitIndex1))) | v129(constB114, bitIndex1) | (~v127(constB113, bitIndex1))),
% 15.28/10.51 inference(tautology,[status(thm)],[])).
% 15.28/10.51 tff(17761,plain,
% 15.28/10.51 (v129(constB114, bitIndex1)),
% 15.28/10.51 inference(unit_resolution,[status(thm)],[17760, 17759, 17746])).
% 15.28/10.51 tff(17762,plain,
% 15.28/10.51 ((~(v90(constB114, bitIndex1) <=> v129(constB114, bitIndex1))) | v90(constB114, bitIndex1) | (~v129(constB114, bitIndex1))),
% 15.28/10.51 inference(tautology,[status(thm)],[])).
% 15.28/10.51 tff(17763,plain,
% 15.28/10.51 (v90(constB114, bitIndex1)),
% 15.28/10.51 inference(unit_resolution,[status(thm)],[17762, 17761, 17742])).
% 15.28/10.51 tff(17764,plain,
% 15.28/10.51 ((~(v90(constB115, bitIndex1) <=> v90(constB114, bitIndex1))) | v90(constB115, bitIndex1) | (~v90(constB114, bitIndex1))),
% 15.28/10.51 inference(tautology,[status(thm)],[])).
% 15.28/10.51 tff(17765,plain,
% 15.28/10.51 (v90(constB115, bitIndex1)),
% 15.28/10.51 inference(unit_resolution,[status(thm)],[17764, 17763, 17738])).
% 15.28/10.51 tff(17766,plain,
% 15.28/10.51 ((~((~v90(constB115, bitIndex2)) | (~v90(constB115, bitIndex1)) | v90(constB115, bitIndex0))) | (~v90(constB115, bitIndex2)) | (~v90(constB115, bitIndex1)) | v90(constB115, bitIndex0)),
% 15.28/10.51 inference(tautology,[status(thm)],[])).
% 15.28/10.51 tff(17767,plain,
% 15.28/10.51 (~((~v90(constB115, bitIndex2)) | (~v90(constB115, bitIndex1)) | v90(constB115, bitIndex0))),
% 15.28/10.51 inference(unit_resolution,[status(thm)],[17766, 17765, 17734, 17703])).
% 15.28/10.51 tff(17768,plain,
% 15.28/10.51 ((~(v125(constB115) <=> (~((~v90(constB115, bitIndex2)) | (~v90(constB115, bitIndex1)) | v90(constB115, bitIndex0))))) | v125(constB115) | ((~v90(constB115, bitIndex2)) | (~v90(constB115, bitIndex1)) | v90(constB115, bitIndex0))),
% 15.28/10.51 inference(tautology,[status(thm)],[])).
% 15.28/10.51 tff(17769,plain,
% 15.28/10.51 (v125(constB115)),
% 15.28/10.51 inference(unit_resolution,[status(thm)],[17768, 17767, 15191])).
% 15.28/10.51 tff(17770,plain,
% 15.28/10.51 ((v114(constB115) | v125(constB115)) | (~v125(constB115))),
% 15.28/10.51 inference(tautology,[status(thm)],[])).
% 15.28/10.51 tff(17771,plain,
% 15.28/10.51 (v114(constB115) | v125(constB115)),
% 15.28/10.51 inference(unit_resolution,[status(thm)],[17770, 17769])).
% 15.28/10.51 tff(17772,plain,
% 15.28/10.51 ((~(v113(constB115) <=> (v114(constB115) | v125(constB115)))) | v113(constB115) | (~(v114(constB115) | v125(constB115)))),
% 15.28/10.51 inference(tautology,[status(thm)],[])).
% 15.28/10.51 tff(17773,plain,
% 15.28/10.51 (v113(constB115)),
% 15.28/10.51 inference(unit_resolution,[status(thm)],[17772, 17771, 15184])).
% 15.28/10.51 tff(17774,plain,
% 15.28/10.51 ((~![VarCurr: $i] : ((~v126(VarCurr)) <=> v111(VarCurr))) | ((~v126(constB115)) <=> v111(constB115))),
% 15.28/10.51 inference(quant_inst,[status(thm)],[])).
% 15.28/10.51 tff(17775,plain,
% 15.28/10.51 ((~v126(constB115)) <=> v111(constB115)),
% 15.28/10.51 inference(unit_resolution,[status(thm)],[17774, 5074])).
% 15.28/10.51 tff(17776,plain,
% 15.28/10.51 ((~![VarCurr: $i] : (v111(VarCurr) <=> v26(VarCurr))) | (v111(constB115) <=> v26(constB115))),
% 15.28/10.51 inference(quant_inst,[status(thm)],[])).
% 15.28/10.51 tff(17777,plain,
% 15.28/10.51 (v111(constB115) <=> v26(constB115)),
% 15.28/10.51 inference(unit_resolution,[status(thm)],[17776, 5086])).
% 15.28/10.51 tff(17778,plain,
% 15.28/10.51 ((~![VarCurr: $i] : (~v26(VarCurr))) | (~v26(constB115))),
% 15.28/10.51 inference(quant_inst,[status(thm)],[])).
% 15.28/10.51 tff(17779,plain,
% 15.28/10.51 (~v26(constB115)),
% 15.28/10.51 inference(unit_resolution,[status(thm)],[17778, 5098])).
% 15.28/10.51 tff(17780,plain,
% 15.28/10.51 ((~(v111(constB115) <=> v26(constB115))) | (~v111(constB115)) | v26(constB115)),
% 15.28/10.51 inference(tautology,[status(thm)],[])).
% 15.28/10.51 tff(17781,plain,
% 15.28/10.51 ((~(v111(constB115) <=> v26(constB115))) | (~v111(constB115))),
% 15.28/10.51 inference(unit_resolution,[status(thm)],[17780, 17779])).
% 15.28/10.51 tff(17782,plain,
% 15.28/10.51 (~v111(constB115)),
% 15.28/10.51 inference(unit_resolution,[status(thm)],[17781, 17777])).
% 15.28/10.51 tff(17783,plain,
% 15.28/10.51 ((~((~v126(constB115)) <=> v111(constB115))) | v126(constB115) | v111(constB115)),
% 15.28/10.51 inference(tautology,[status(thm)],[])).
% 15.28/10.51 tff(17784,plain,
% 15.28/10.51 ((~((~v126(constB115)) <=> v111(constB115))) | v126(constB115)),
% 15.28/10.51 inference(unit_resolution,[status(thm)],[17783, 17782])).
% 15.28/10.51 tff(17785,plain,
% 15.28/10.51 (v126(constB115)),
% 15.28/10.51 inference(unit_resolution,[status(thm)],[17784, 17775])).
% 15.28/10.51 tff(17786,plain,
% 15.28/10.51 ((~((~v113(constB115)) | (~v126(constB115)))) | (~v113(constB115)) | (~v126(constB115))),
% 15.28/10.51 inference(tautology,[status(thm)],[])).
% 15.28/10.51 tff(17787,plain,
% 15.28/10.51 ((~((~v113(constB115)) | (~v126(constB115)))) | (~v113(constB115))),
% 15.28/10.51 inference(unit_resolution,[status(thm)],[17786, 17785])).
% 15.28/10.51 tff(17788,plain,
% 15.28/10.51 (~((~v113(constB115)) | (~v126(constB115)))),
% 15.28/10.51 inference(unit_resolution,[status(thm)],[17787, 17773])).
% 15.28/10.51 tff(17789,plain,
% 15.28/10.51 ((~(v112(constB115) <=> (~((~v113(constB115)) | (~v126(constB115)))))) | v112(constB115) | ((~v113(constB115)) | (~v126(constB115)))),
% 15.28/10.51 inference(tautology,[status(thm)],[])).
% 15.28/10.51 tff(17790,plain,
% 15.28/10.51 (v112(constB115)),
% 15.28/10.51 inference(unit_resolution,[status(thm)],[17789, 17788, 15182])).
% 15.28/10.51 tff(17791,plain,
% 15.28/10.51 ((v111(constB115) | v112(constB115)) | (~v112(constB115))),
% 15.28/10.51 inference(tautology,[status(thm)],[])).
% 15.28/10.51 tff(17792,plain,
% 15.28/10.51 (v111(constB115) | v112(constB115)),
% 15.28/10.51 inference(unit_resolution,[status(thm)],[17791, 17790])).
% 15.28/10.51 tff(17793,plain,
% 15.28/10.51 ((~(v108(constB115) <=> (v111(constB115) | v112(constB115)))) | v108(constB115) | (~(v111(constB115) | v112(constB115)))),
% 15.28/10.51 inference(tautology,[status(thm)],[])).
% 15.28/10.51 tff(17794,plain,
% 15.28/10.51 (v108(constB115)),
% 15.28/10.51 inference(unit_resolution,[status(thm)],[17793, 17792, 15180])).
% 15.28/10.51 tff(17795,plain,
% 15.28/10.51 ((~(v110(constB116) <=> v108(constB115))) | v110(constB116) | (~v108(constB115))),
% 15.28/10.51 inference(tautology,[status(thm)],[])).
% 15.28/10.51 tff(17796,plain,
% 15.28/10.51 (v110(constB116)),
% 15.28/10.51 inference(unit_resolution,[status(thm)],[17795, 17794, 15178])).
% 15.28/10.51 tff(17797,plain,
% 15.28/10.51 ((~((~v101(constB116)) | (~v110(constB116)))) | (~v101(constB116)) | (~v110(constB116))),
% 15.28/10.51 inference(tautology,[status(thm)],[])).
% 15.28/10.51 tff(17798,plain,
% 15.28/10.51 (~((~v101(constB116)) | (~v110(constB116)))),
% 15.28/10.51 inference(unit_resolution,[status(thm)],[17797, 17796, 15174])).
% 15.28/10.51 tff(17799,plain,
% 15.28/10.51 ((~(v100(constB116) <=> (~((~v101(constB116)) | (~v110(constB116)))))) | v100(constB116) | ((~v101(constB116)) | (~v110(constB116)))),
% 15.28/10.51 inference(tautology,[status(thm)],[])).
% 15.28/10.51 tff(17800,plain,
% 15.28/10.51 (v100(constB116)),
% 15.28/10.51 inference(unit_resolution,[status(thm)],[17799, 17798, 15143])).
% 15.28/10.51 tff(17801,plain,
% 15.28/10.51 (((~![VarNext: $i] : ((~v100(VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v129(VarNext, B))))) | ((~v100(constB116)) | ![B: $i] : ((~less_3(B)) | (v90(constB116, B) <=> v129(constB116, B))))) <=> ((~![VarNext: $i] : ((~v100(VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v129(VarNext, B))))) | (~v100(constB116)) | ![B: $i] : ((~less_3(B)) | (v90(constB116, B) <=> v129(constB116, B))))),
% 15.28/10.51 inference(rewrite,[status(thm)],[])).
% 15.28/10.51 tff(17802,plain,
% 15.28/10.51 ((~![VarNext: $i] : ((~v100(VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v129(VarNext, B))))) | ((~v100(constB116)) | ![B: $i] : ((~less_3(B)) | (v90(constB116, B) <=> v129(constB116, B))))),
% 15.28/10.51 inference(quant_inst,[status(thm)],[])).
% 15.28/10.51 tff(17803,plain,
% 15.28/10.51 ((~![VarNext: $i] : ((~v100(VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v129(VarNext, B))))) | (~v100(constB116)) | ![B: $i] : ((~less_3(B)) | (v90(constB116, B) <=> v129(constB116, B)))),
% 15.28/10.51 inference(modus_ponens,[status(thm)],[17802, 17801])).
% 15.28/10.51 tff(17804,plain,
% 15.28/10.51 ((~v100(constB116)) | ![B: $i] : ((~less_3(B)) | (v90(constB116, B) <=> v129(constB116, B)))),
% 15.28/10.51 inference(unit_resolution,[status(thm)],[17803, 5134])).
% 15.28/10.51 tff(17805,plain,
% 15.28/10.51 (![B: $i] : ((~less_3(B)) | (v90(constB116, B) <=> v129(constB116, B)))),
% 15.28/10.51 inference(unit_resolution,[status(thm)],[17804, 17800])).
% 15.28/10.51 tff(17806,plain,
% 15.28/10.51 (((~![B: $i] : ((~less_3(B)) | (v90(constB116, B) <=> v129(constB116, B)))) | ((~less_3(bitIndex2)) | (v90(constB116, bitIndex2) <=> v129(constB116, bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v90(constB116, B) <=> v129(constB116, B)))) | (~less_3(bitIndex2)) | (v90(constB116, bitIndex2) <=> v129(constB116, bitIndex2)))),
% 15.28/10.51 inference(rewrite,[status(thm)],[])).
% 15.28/10.51 tff(17807,plain,
% 15.28/10.51 ((~![B: $i] : ((~less_3(B)) | (v90(constB116, B) <=> v129(constB116, B)))) | ((~less_3(bitIndex2)) | (v90(constB116, bitIndex2) <=> v129(constB116, bitIndex2)))),
% 15.28/10.51 inference(quant_inst,[status(thm)],[])).
% 15.28/10.52 tff(17808,plain,
% 15.28/10.52 ((~![B: $i] : ((~less_3(B)) | (v90(constB116, B) <=> v129(constB116, B)))) | (~less_3(bitIndex2)) | (v90(constB116, bitIndex2) <=> v129(constB116, bitIndex2))),
% 15.28/10.52 inference(modus_ponens,[status(thm)],[17807, 17806])).
% 15.28/10.52 tff(17809,plain,
% 15.28/10.52 (v90(constB116, bitIndex2) <=> v129(constB116, bitIndex2)),
% 15.28/10.52 inference(unit_resolution,[status(thm)],[17808, 413, 17805])).
% 15.28/10.52 tff(17810,plain,
% 15.28/10.52 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v129(VarNext, B) <=> v127(VarCurr, B))))) | ((~nextState(constB115, constB116)) | ![B: $i] : ((~less_3(B)) | (v129(constB116, B) <=> v127(constB115, B))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v129(VarNext, B) <=> v127(VarCurr, B))))) | (~nextState(constB115, constB116)) | ![B: $i] : ((~less_3(B)) | (v129(constB116, B) <=> v127(constB115, B))))),
% 15.28/10.52 inference(rewrite,[status(thm)],[])).
% 15.28/10.52 tff(17811,plain,
% 15.28/10.52 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v129(VarNext, B) <=> v127(VarCurr, B))))) | ((~nextState(constB115, constB116)) | ![B: $i] : ((~less_3(B)) | (v129(constB116, B) <=> v127(constB115, B))))),
% 15.28/10.52 inference(quant_inst,[status(thm)],[])).
% 15.28/10.52 tff(17812,plain,
% 15.28/10.52 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v129(VarNext, B) <=> v127(VarCurr, B))))) | (~nextState(constB115, constB116)) | ![B: $i] : ((~less_3(B)) | (v129(constB116, B) <=> v127(constB115, B)))),
% 15.28/10.52 inference(modus_ponens,[status(thm)],[17811, 17810])).
% 15.28/10.52 tff(17813,plain,
% 15.28/10.52 (![B: $i] : ((~less_3(B)) | (v129(constB116, B) <=> v127(constB115, B)))),
% 15.28/10.52 inference(unit_resolution,[status(thm)],[17812, 15139, 5156])).
% 15.28/10.52 tff(17814,plain,
% 15.28/10.52 (((~![B: $i] : ((~less_3(B)) | (v129(constB116, B) <=> v127(constB115, B)))) | ((~less_3(bitIndex2)) | (v129(constB116, bitIndex2) <=> v127(constB115, bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v129(constB116, B) <=> v127(constB115, B)))) | (~less_3(bitIndex2)) | (v129(constB116, bitIndex2) <=> v127(constB115, bitIndex2)))),
% 15.28/10.52 inference(rewrite,[status(thm)],[])).
% 15.28/10.52 tff(17815,plain,
% 15.28/10.52 ((~![B: $i] : ((~less_3(B)) | (v129(constB116, B) <=> v127(constB115, B)))) | ((~less_3(bitIndex2)) | (v129(constB116, bitIndex2) <=> v127(constB115, bitIndex2)))),
% 15.28/10.52 inference(quant_inst,[status(thm)],[])).
% 15.28/10.52 tff(17816,plain,
% 15.28/10.52 ((~![B: $i] : ((~less_3(B)) | (v129(constB116, B) <=> v127(constB115, B)))) | (~less_3(bitIndex2)) | (v129(constB116, bitIndex2) <=> v127(constB115, bitIndex2))),
% 15.28/10.52 inference(modus_ponens,[status(thm)],[17815, 17814])).
% 15.28/10.52 tff(17817,plain,
% 15.28/10.52 (v129(constB116, bitIndex2) <=> v127(constB115, bitIndex2)),
% 15.28/10.52 inference(unit_resolution,[status(thm)],[17816, 413, 17813])).
% 15.28/10.52 tff(17818,plain,
% 15.28/10.52 (((~![VarCurr: $i] : (v111(VarCurr) | ![B: $i] : ((~less_3(B)) | (v127(VarCurr, B) <=> v130(VarCurr, B))))) | (v111(constB115) | ![B: $i] : ((~less_3(B)) | (v127(constB115, B) <=> v130(constB115, B))))) <=> ((~![VarCurr: $i] : (v111(VarCurr) | ![B: $i] : ((~less_3(B)) | (v127(VarCurr, B) <=> v130(VarCurr, B))))) | v111(constB115) | ![B: $i] : ((~less_3(B)) | (v127(constB115, B) <=> v130(constB115, B))))),
% 15.28/10.52 inference(rewrite,[status(thm)],[])).
% 15.28/10.52 tff(17819,plain,
% 15.28/10.52 ((~![VarCurr: $i] : (v111(VarCurr) | ![B: $i] : ((~less_3(B)) | (v127(VarCurr, B) <=> v130(VarCurr, B))))) | (v111(constB115) | ![B: $i] : ((~less_3(B)) | (v127(constB115, B) <=> v130(constB115, B))))),
% 15.28/10.52 inference(quant_inst,[status(thm)],[])).
% 15.28/10.52 tff(17820,plain,
% 15.28/10.52 ((~![VarCurr: $i] : (v111(VarCurr) | ![B: $i] : ((~less_3(B)) | (v127(VarCurr, B) <=> v130(VarCurr, B))))) | v111(constB115) | ![B: $i] : ((~less_3(B)) | (v127(constB115, B) <=> v130(constB115, B)))),
% 15.28/10.52 inference(modus_ponens,[status(thm)],[17819, 17818])).
% 15.28/10.52 tff(17821,plain,
% 15.28/10.52 (![B: $i] : ((~less_3(B)) | (v127(constB115, B) <=> v130(constB115, B)))),
% 15.28/10.52 inference(unit_resolution,[status(thm)],[17820, 5177, 17782])).
% 15.28/10.52 tff(17822,plain,
% 15.28/10.52 (((~![B: $i] : ((~less_3(B)) | (v127(constB115, B) <=> v130(constB115, B)))) | ((~less_3(bitIndex2)) | (v127(constB115, bitIndex2) <=> v130(constB115, bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v127(constB115, B) <=> v130(constB115, B)))) | (~less_3(bitIndex2)) | (v127(constB115, bitIndex2) <=> v130(constB115, bitIndex2)))),
% 15.28/10.52 inference(rewrite,[status(thm)],[])).
% 15.28/10.52 tff(17823,plain,
% 15.28/10.52 ((~![B: $i] : ((~less_3(B)) | (v127(constB115, B) <=> v130(constB115, B)))) | ((~less_3(bitIndex2)) | (v127(constB115, bitIndex2) <=> v130(constB115, bitIndex2)))),
% 15.28/10.52 inference(quant_inst,[status(thm)],[])).
% 15.28/10.52 tff(17824,plain,
% 15.28/10.52 ((~![B: $i] : ((~less_3(B)) | (v127(constB115, B) <=> v130(constB115, B)))) | (~less_3(bitIndex2)) | (v127(constB115, bitIndex2) <=> v130(constB115, bitIndex2))),
% 15.28/10.52 inference(modus_ponens,[status(thm)],[17823, 17822])).
% 15.28/10.52 tff(17825,plain,
% 15.28/10.52 (v127(constB115, bitIndex2) <=> v130(constB115, bitIndex2)),
% 15.28/10.52 inference(unit_resolution,[status(thm)],[17824, 413, 17821])).
% 15.28/10.52 tff(17826,plain,
% 15.28/10.52 ((~![VarCurr: $i] : (v119(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))))) | (v119(constB115) <=> (~(v90(constB115, bitIndex0) | v90(constB115, bitIndex1) | v90(constB115, bitIndex2))))),
% 15.28/10.52 inference(quant_inst,[status(thm)],[])).
% 15.28/10.52 tff(17827,plain,
% 15.28/10.52 (v119(constB115) <=> (~(v90(constB115, bitIndex0) | v90(constB115, bitIndex1) | v90(constB115, bitIndex2)))),
% 15.28/10.52 inference(unit_resolution,[status(thm)],[17826, 4971])).
% 15.28/10.52 tff(17828,plain,
% 15.28/10.52 ((v90(constB115, bitIndex0) | v90(constB115, bitIndex1) | v90(constB115, bitIndex2)) | (~v90(constB115, bitIndex2))),
% 15.28/10.52 inference(tautology,[status(thm)],[])).
% 15.28/10.52 tff(17829,plain,
% 15.28/10.52 (v90(constB115, bitIndex0) | v90(constB115, bitIndex1) | v90(constB115, bitIndex2)),
% 15.28/10.52 inference(unit_resolution,[status(thm)],[17828, 17703])).
% 15.28/10.52 tff(17830,plain,
% 15.28/10.52 ((~(v119(constB115) <=> (~(v90(constB115, bitIndex0) | v90(constB115, bitIndex1) | v90(constB115, bitIndex2))))) | (~v119(constB115)) | (~(v90(constB115, bitIndex0) | v90(constB115, bitIndex1) | v90(constB115, bitIndex2)))),
% 15.28/10.52 inference(tautology,[status(thm)],[])).
% 15.28/10.52 tff(17831,plain,
% 15.28/10.52 (~v119(constB115)),
% 15.28/10.52 inference(unit_resolution,[status(thm)],[17830, 17829, 17827])).
% 15.28/10.52 tff(17832,plain,
% 15.28/10.52 (((~![VarCurr: $i] : (v124(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex2)))))) | (v124(constB115) <=> (~((~v90(constB115, bitIndex2)) | v90(constB115, bitIndex1) | (~v90(constB115, bitIndex0)))))) <=> ((~![VarCurr: $i] : (v124(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex2)))))) | (v124(constB115) <=> (~((~v90(constB115, bitIndex2)) | v90(constB115, bitIndex1) | (~v90(constB115, bitIndex0))))))),
% 15.28/10.52 inference(rewrite,[status(thm)],[])).
% 15.28/10.52 tff(17833,plain,
% 15.28/10.52 ((v124(constB115) <=> (~(v90(constB115, bitIndex1) | (~v90(constB115, bitIndex0)) | (~v90(constB115, bitIndex2))))) <=> (v124(constB115) <=> (~((~v90(constB115, bitIndex2)) | v90(constB115, bitIndex1) | (~v90(constB115, bitIndex0)))))),
% 15.28/10.52 inference(rewrite,[status(thm)],[])).
% 15.28/10.52 tff(17834,plain,
% 15.28/10.52 (((~![VarCurr: $i] : (v124(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex2)))))) | (v124(constB115) <=> (~(v90(constB115, bitIndex1) | (~v90(constB115, bitIndex0)) | (~v90(constB115, bitIndex2)))))) <=> ((~![VarCurr: $i] : (v124(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex2)))))) | (v124(constB115) <=> (~((~v90(constB115, bitIndex2)) | v90(constB115, bitIndex1) | (~v90(constB115, bitIndex0))))))),
% 15.28/10.52 inference(monotonicity,[status(thm)],[17833])).
% 15.28/10.52 tff(17835,plain,
% 15.28/10.52 (((~![VarCurr: $i] : (v124(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex2)))))) | (v124(constB115) <=> (~(v90(constB115, bitIndex1) | (~v90(constB115, bitIndex0)) | (~v90(constB115, bitIndex2)))))) <=> ((~![VarCurr: $i] : (v124(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex2)))))) | (v124(constB115) <=> (~((~v90(constB115, bitIndex2)) | v90(constB115, bitIndex1) | (~v90(constB115, bitIndex0))))))),
% 15.28/10.52 inference(transitivity,[status(thm)],[17834, 17832])).
% 15.28/10.52 tff(17836,plain,
% 15.28/10.52 ((~![VarCurr: $i] : (v124(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex2)))))) | (v124(constB115) <=> (~(v90(constB115, bitIndex1) | (~v90(constB115, bitIndex0)) | (~v90(constB115, bitIndex2)))))),
% 15.28/10.52 inference(quant_inst,[status(thm)],[])).
% 15.28/10.52 tff(17837,plain,
% 15.28/10.52 ((~![VarCurr: $i] : (v124(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex2)))))) | (v124(constB115) <=> (~((~v90(constB115, bitIndex2)) | v90(constB115, bitIndex1) | (~v90(constB115, bitIndex0)))))),
% 15.28/10.52 inference(modus_ponens,[status(thm)],[17836, 17835])).
% 15.28/10.52 tff(17838,plain,
% 15.28/10.52 (v124(constB115) <=> (~((~v90(constB115, bitIndex2)) | v90(constB115, bitIndex1) | (~v90(constB115, bitIndex0))))),
% 15.28/10.52 inference(unit_resolution,[status(thm)],[17837, 5539])).
% 15.28/10.52 tff(17839,plain,
% 15.28/10.52 (((~v90(constB115, bitIndex2)) | v90(constB115, bitIndex1) | (~v90(constB115, bitIndex0))) | (~v90(constB115, bitIndex1))),
% 15.28/10.52 inference(tautology,[status(thm)],[])).
% 15.28/10.52 tff(17840,plain,
% 15.28/10.52 ((~v90(constB115, bitIndex2)) | v90(constB115, bitIndex1) | (~v90(constB115, bitIndex0))),
% 15.28/10.52 inference(unit_resolution,[status(thm)],[17839, 17765])).
% 15.28/10.52 tff(17841,plain,
% 15.28/10.52 ((~(v124(constB115) <=> (~((~v90(constB115, bitIndex2)) | v90(constB115, bitIndex1) | (~v90(constB115, bitIndex0)))))) | (~v124(constB115)) | (~((~v90(constB115, bitIndex2)) | v90(constB115, bitIndex1) | (~v90(constB115, bitIndex0))))),
% 15.28/10.52 inference(tautology,[status(thm)],[])).
% 15.28/10.52 tff(17842,plain,
% 15.28/10.52 (~v124(constB115)),
% 15.28/10.52 inference(unit_resolution,[status(thm)],[17841, 17840, 17838])).
% 15.28/10.52 tff(17843,plain,
% 15.28/10.52 (((~![VarCurr: $i] : (v123(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)))))) | (v123(constB115) <=> (~((~v90(constB115, bitIndex2)) | v90(constB115, bitIndex1) | v90(constB115, bitIndex0))))) <=> ((~![VarCurr: $i] : (v123(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)))))) | (v123(constB115) <=> (~((~v90(constB115, bitIndex2)) | v90(constB115, bitIndex1) | v90(constB115, bitIndex0)))))),
% 15.28/10.52 inference(rewrite,[status(thm)],[])).
% 15.28/10.52 tff(17844,plain,
% 15.28/10.52 ((v123(constB115) <=> (~(v90(constB115, bitIndex0) | v90(constB115, bitIndex1) | (~v90(constB115, bitIndex2))))) <=> (v123(constB115) <=> (~((~v90(constB115, bitIndex2)) | v90(constB115, bitIndex1) | v90(constB115, bitIndex0))))),
% 15.28/10.52 inference(rewrite,[status(thm)],[])).
% 15.28/10.52 tff(17845,plain,
% 15.28/10.52 (((~![VarCurr: $i] : (v123(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)))))) | (v123(constB115) <=> (~(v90(constB115, bitIndex0) | v90(constB115, bitIndex1) | (~v90(constB115, bitIndex2)))))) <=> ((~![VarCurr: $i] : (v123(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)))))) | (v123(constB115) <=> (~((~v90(constB115, bitIndex2)) | v90(constB115, bitIndex1) | v90(constB115, bitIndex0)))))),
% 15.28/10.52 inference(monotonicity,[status(thm)],[17844])).
% 15.28/10.52 tff(17846,plain,
% 15.28/10.52 (((~![VarCurr: $i] : (v123(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)))))) | (v123(constB115) <=> (~(v90(constB115, bitIndex0) | v90(constB115, bitIndex1) | (~v90(constB115, bitIndex2)))))) <=> ((~![VarCurr: $i] : (v123(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)))))) | (v123(constB115) <=> (~((~v90(constB115, bitIndex2)) | v90(constB115, bitIndex1) | v90(constB115, bitIndex0)))))),
% 15.28/10.52 inference(transitivity,[status(thm)],[17845, 17843])).
% 15.28/10.52 tff(17847,plain,
% 15.28/10.52 ((~![VarCurr: $i] : (v123(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)))))) | (v123(constB115) <=> (~(v90(constB115, bitIndex0) | v90(constB115, bitIndex1) | (~v90(constB115, bitIndex2)))))),
% 15.28/10.52 inference(quant_inst,[status(thm)],[])).
% 15.28/10.52 tff(17848,plain,
% 15.28/10.52 ((~![VarCurr: $i] : (v123(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)))))) | (v123(constB115) <=> (~((~v90(constB115, bitIndex2)) | v90(constB115, bitIndex1) | v90(constB115, bitIndex0))))),
% 15.28/10.52 inference(modus_ponens,[status(thm)],[17847, 17846])).
% 15.28/10.52 tff(17849,plain,
% 15.28/10.52 (v123(constB115) <=> (~((~v90(constB115, bitIndex2)) | v90(constB115, bitIndex1) | v90(constB115, bitIndex0)))),
% 15.28/10.52 inference(unit_resolution,[status(thm)],[17848, 621])).
% 15.28/10.52 tff(17850,plain,
% 15.28/10.52 (((~v90(constB115, bitIndex2)) | v90(constB115, bitIndex1) | v90(constB115, bitIndex0)) | (~v90(constB115, bitIndex1))),
% 15.28/10.52 inference(tautology,[status(thm)],[])).
% 15.28/10.52 tff(17851,plain,
% 15.28/10.52 ((~v90(constB115, bitIndex2)) | v90(constB115, bitIndex1) | v90(constB115, bitIndex0)),
% 15.28/10.52 inference(unit_resolution,[status(thm)],[17850, 17765])).
% 15.28/10.52 tff(17852,plain,
% 15.28/10.52 ((~(v123(constB115) <=> (~((~v90(constB115, bitIndex2)) | v90(constB115, bitIndex1) | v90(constB115, bitIndex0))))) | (~v123(constB115)) | (~((~v90(constB115, bitIndex2)) | v90(constB115, bitIndex1) | v90(constB115, bitIndex0)))),
% 15.28/10.52 inference(tautology,[status(thm)],[])).
% 15.28/10.52 tff(17853,plain,
% 15.28/10.52 (~v123(constB115)),
% 15.28/10.52 inference(unit_resolution,[status(thm)],[17852, 17851, 17849])).
% 15.28/10.52 tff(17854,plain,
% 15.28/10.52 (((~![VarCurr: $i] : (v122(VarCurr) <=> (~(v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)))))) | (v122(constB115) <=> (~(v90(constB115, bitIndex2) | (~v90(constB115, bitIndex1)) | (~v90(constB115, bitIndex0)))))) <=> ((~![VarCurr: $i] : (v122(VarCurr) <=> (~(v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)))))) | (v122(constB115) <=> (~(v90(constB115, bitIndex2) | (~v90(constB115, bitIndex1)) | (~v90(constB115, bitIndex0))))))),
% 15.28/10.52 inference(rewrite,[status(thm)],[])).
% 15.28/10.52 tff(17855,plain,
% 15.28/10.52 ((v122(constB115) <=> (~(v90(constB115, bitIndex2) | (~v90(constB115, bitIndex0)) | (~v90(constB115, bitIndex1))))) <=> (v122(constB115) <=> (~(v90(constB115, bitIndex2) | (~v90(constB115, bitIndex1)) | (~v90(constB115, bitIndex0)))))),
% 15.28/10.52 inference(rewrite,[status(thm)],[])).
% 15.28/10.52 tff(17856,plain,
% 15.28/10.52 (((~![VarCurr: $i] : (v122(VarCurr) <=> (~(v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)))))) | (v122(constB115) <=> (~(v90(constB115, bitIndex2) | (~v90(constB115, bitIndex0)) | (~v90(constB115, bitIndex1)))))) <=> ((~![VarCurr: $i] : (v122(VarCurr) <=> (~(v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)))))) | (v122(constB115) <=> (~(v90(constB115, bitIndex2) | (~v90(constB115, bitIndex1)) | (~v90(constB115, bitIndex0))))))),
% 15.28/10.52 inference(monotonicity,[status(thm)],[17855])).
% 15.28/10.52 tff(17857,plain,
% 15.28/10.52 (((~![VarCurr: $i] : (v122(VarCurr) <=> (~(v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)))))) | (v122(constB115) <=> (~(v90(constB115, bitIndex2) | (~v90(constB115, bitIndex0)) | (~v90(constB115, bitIndex1)))))) <=> ((~![VarCurr: $i] : (v122(VarCurr) <=> (~(v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)))))) | (v122(constB115) <=> (~(v90(constB115, bitIndex2) | (~v90(constB115, bitIndex1)) | (~v90(constB115, bitIndex0))))))),
% 15.28/10.52 inference(transitivity,[status(thm)],[17856, 17854])).
% 15.28/10.52 tff(17858,plain,
% 15.28/10.52 ((~![VarCurr: $i] : (v122(VarCurr) <=> (~(v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)))))) | (v122(constB115) <=> (~(v90(constB115, bitIndex2) | (~v90(constB115, bitIndex0)) | (~v90(constB115, bitIndex1)))))),
% 15.28/10.52 inference(quant_inst,[status(thm)],[])).
% 15.28/10.52 tff(17859,plain,
% 15.28/10.52 ((~![VarCurr: $i] : (v122(VarCurr) <=> (~(v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)))))) | (v122(constB115) <=> (~(v90(constB115, bitIndex2) | (~v90(constB115, bitIndex1)) | (~v90(constB115, bitIndex0)))))),
% 15.28/10.52 inference(modus_ponens,[status(thm)],[17858, 17857])).
% 15.28/10.52 tff(17860,plain,
% 15.28/10.52 (v122(constB115) <=> (~(v90(constB115, bitIndex2) | (~v90(constB115, bitIndex1)) | (~v90(constB115, bitIndex0))))),
% 15.28/10.52 inference(unit_resolution,[status(thm)],[17859, 734])).
% 15.28/10.52 tff(17861,plain,
% 15.28/10.52 ((v90(constB115, bitIndex2) | (~v90(constB115, bitIndex1)) | (~v90(constB115, bitIndex0))) | (~v90(constB115, bitIndex2))),
% 15.28/10.52 inference(tautology,[status(thm)],[])).
% 15.28/10.52 tff(17862,plain,
% 15.28/10.52 (v90(constB115, bitIndex2) | (~v90(constB115, bitIndex1)) | (~v90(constB115, bitIndex0))),
% 15.28/10.52 inference(unit_resolution,[status(thm)],[17861, 17703])).
% 15.28/10.52 tff(17863,plain,
% 15.28/10.52 ((~(v122(constB115) <=> (~(v90(constB115, bitIndex2) | (~v90(constB115, bitIndex1)) | (~v90(constB115, bitIndex0)))))) | (~v122(constB115)) | (~(v90(constB115, bitIndex2) | (~v90(constB115, bitIndex1)) | (~v90(constB115, bitIndex0))))),
% 15.28/10.52 inference(tautology,[status(thm)],[])).
% 15.28/10.52 tff(17864,plain,
% 15.28/10.52 (~v122(constB115)),
% 15.28/10.52 inference(unit_resolution,[status(thm)],[17863, 17862, 17860])).
% 15.28/10.52 tff(17865,plain,
% 15.28/10.52 (((~![VarCurr: $i] : (v121(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex1)))))) | (v121(constB115) <=> (~(v90(constB115, bitIndex2) | (~v90(constB115, bitIndex1)) | v90(constB115, bitIndex0))))) <=> ((~![VarCurr: $i] : (v121(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex1)))))) | (v121(constB115) <=> (~(v90(constB115, bitIndex2) | (~v90(constB115, bitIndex1)) | v90(constB115, bitIndex0)))))),
% 15.28/10.52 inference(rewrite,[status(thm)],[])).
% 15.28/10.52 tff(17866,plain,
% 15.28/10.52 ((v121(constB115) <=> (~(v90(constB115, bitIndex0) | v90(constB115, bitIndex2) | (~v90(constB115, bitIndex1))))) <=> (v121(constB115) <=> (~(v90(constB115, bitIndex2) | (~v90(constB115, bitIndex1)) | v90(constB115, bitIndex0))))),
% 15.28/10.52 inference(rewrite,[status(thm)],[])).
% 15.28/10.52 tff(17867,plain,
% 15.28/10.52 (((~![VarCurr: $i] : (v121(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex1)))))) | (v121(constB115) <=> (~(v90(constB115, bitIndex0) | v90(constB115, bitIndex2) | (~v90(constB115, bitIndex1)))))) <=> ((~![VarCurr: $i] : (v121(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex1)))))) | (v121(constB115) <=> (~(v90(constB115, bitIndex2) | (~v90(constB115, bitIndex1)) | v90(constB115, bitIndex0)))))),
% 15.28/10.52 inference(monotonicity,[status(thm)],[17866])).
% 15.28/10.52 tff(17868,plain,
% 15.28/10.52 (((~![VarCurr: $i] : (v121(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex1)))))) | (v121(constB115) <=> (~(v90(constB115, bitIndex0) | v90(constB115, bitIndex2) | (~v90(constB115, bitIndex1)))))) <=> ((~![VarCurr: $i] : (v121(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex1)))))) | (v121(constB115) <=> (~(v90(constB115, bitIndex2) | (~v90(constB115, bitIndex1)) | v90(constB115, bitIndex0)))))),
% 15.28/10.52 inference(transitivity,[status(thm)],[17867, 17865])).
% 15.28/10.52 tff(17869,plain,
% 15.28/10.52 ((~![VarCurr: $i] : (v121(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex1)))))) | (v121(constB115) <=> (~(v90(constB115, bitIndex0) | v90(constB115, bitIndex2) | (~v90(constB115, bitIndex1)))))),
% 15.28/10.52 inference(quant_inst,[status(thm)],[])).
% 15.28/10.52 tff(17870,plain,
% 15.28/10.52 ((~![VarCurr: $i] : (v121(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex1)))))) | (v121(constB115) <=> (~(v90(constB115, bitIndex2) | (~v90(constB115, bitIndex1)) | v90(constB115, bitIndex0))))),
% 15.28/10.52 inference(modus_ponens,[status(thm)],[17869, 17868])).
% 15.28/10.52 tff(17871,plain,
% 15.28/10.52 (v121(constB115) <=> (~(v90(constB115, bitIndex2) | (~v90(constB115, bitIndex1)) | v90(constB115, bitIndex0)))),
% 15.28/10.52 inference(unit_resolution,[status(thm)],[17870, 849])).
% 15.28/10.52 tff(17872,plain,
% 15.28/10.52 ((v90(constB115, bitIndex2) | (~v90(constB115, bitIndex1)) | v90(constB115, bitIndex0)) | (~v90(constB115, bitIndex2))),
% 15.28/10.52 inference(tautology,[status(thm)],[])).
% 15.28/10.52 tff(17873,plain,
% 15.28/10.52 (v90(constB115, bitIndex2) | (~v90(constB115, bitIndex1)) | v90(constB115, bitIndex0)),
% 15.28/10.52 inference(unit_resolution,[status(thm)],[17872, 17703])).
% 15.28/10.52 tff(17874,plain,
% 15.28/10.52 ((~(v121(constB115) <=> (~(v90(constB115, bitIndex2) | (~v90(constB115, bitIndex1)) | v90(constB115, bitIndex0))))) | (~v121(constB115)) | (~(v90(constB115, bitIndex2) | (~v90(constB115, bitIndex1)) | v90(constB115, bitIndex0)))),
% 15.28/10.52 inference(tautology,[status(thm)],[])).
% 15.28/10.52 tff(17875,plain,
% 15.28/10.52 (~v121(constB115)),
% 15.28/10.52 inference(unit_resolution,[status(thm)],[17874, 17873, 17871])).
% 15.28/10.52 tff(17876,plain,
% 15.28/10.52 (((~![VarCurr: $i] : (v120(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)))))) | (v120(constB115) <=> (~(v90(constB115, bitIndex2) | v90(constB115, bitIndex1) | (~v90(constB115, bitIndex0)))))) <=> ((~![VarCurr: $i] : (v120(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)))))) | (v120(constB115) <=> (~(v90(constB115, bitIndex2) | v90(constB115, bitIndex1) | (~v90(constB115, bitIndex0))))))),
% 15.28/10.52 inference(rewrite,[status(thm)],[])).
% 15.28/10.52 tff(17877,plain,
% 15.28/10.52 ((v120(constB115) <=> (~(v90(constB115, bitIndex1) | v90(constB115, bitIndex2) | (~v90(constB115, bitIndex0))))) <=> (v120(constB115) <=> (~(v90(constB115, bitIndex2) | v90(constB115, bitIndex1) | (~v90(constB115, bitIndex0)))))),
% 15.28/10.52 inference(rewrite,[status(thm)],[])).
% 15.28/10.52 tff(17878,plain,
% 15.28/10.52 (((~![VarCurr: $i] : (v120(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)))))) | (v120(constB115) <=> (~(v90(constB115, bitIndex1) | v90(constB115, bitIndex2) | (~v90(constB115, bitIndex0)))))) <=> ((~![VarCurr: $i] : (v120(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)))))) | (v120(constB115) <=> (~(v90(constB115, bitIndex2) | v90(constB115, bitIndex1) | (~v90(constB115, bitIndex0))))))),
% 15.28/10.52 inference(monotonicity,[status(thm)],[17877])).
% 15.28/10.52 tff(17879,plain,
% 15.28/10.52 (((~![VarCurr: $i] : (v120(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)))))) | (v120(constB115) <=> (~(v90(constB115, bitIndex1) | v90(constB115, bitIndex2) | (~v90(constB115, bitIndex0)))))) <=> ((~![VarCurr: $i] : (v120(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)))))) | (v120(constB115) <=> (~(v90(constB115, bitIndex2) | v90(constB115, bitIndex1) | (~v90(constB115, bitIndex0))))))),
% 15.28/10.52 inference(transitivity,[status(thm)],[17878, 17876])).
% 15.28/10.52 tff(17880,plain,
% 15.28/10.52 ((~![VarCurr: $i] : (v120(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)))))) | (v120(constB115) <=> (~(v90(constB115, bitIndex1) | v90(constB115, bitIndex2) | (~v90(constB115, bitIndex0)))))),
% 15.28/10.52 inference(quant_inst,[status(thm)],[])).
% 15.28/10.52 tff(17881,plain,
% 15.28/10.52 ((~![VarCurr: $i] : (v120(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)))))) | (v120(constB115) <=> (~(v90(constB115, bitIndex2) | v90(constB115, bitIndex1) | (~v90(constB115, bitIndex0)))))),
% 15.28/10.52 inference(modus_ponens,[status(thm)],[17880, 17879])).
% 15.28/10.52 tff(17882,plain,
% 15.28/10.52 (v120(constB115) <=> (~(v90(constB115, bitIndex2) | v90(constB115, bitIndex1) | (~v90(constB115, bitIndex0))))),
% 15.28/10.52 inference(unit_resolution,[status(thm)],[17881, 966])).
% 15.28/10.52 tff(17883,plain,
% 15.28/10.52 ((v90(constB115, bitIndex2) | v90(constB115, bitIndex1) | (~v90(constB115, bitIndex0))) | (~v90(constB115, bitIndex2))),
% 15.28/10.52 inference(tautology,[status(thm)],[])).
% 15.28/10.52 tff(17884,plain,
% 15.28/10.52 (v90(constB115, bitIndex2) | v90(constB115, bitIndex1) | (~v90(constB115, bitIndex0))),
% 15.28/10.52 inference(unit_resolution,[status(thm)],[17883, 17703])).
% 15.28/10.52 tff(17885,plain,
% 15.28/10.52 ((~(v120(constB115) <=> (~(v90(constB115, bitIndex2) | v90(constB115, bitIndex1) | (~v90(constB115, bitIndex0)))))) | (~v120(constB115)) | (~(v90(constB115, bitIndex2) | v90(constB115, bitIndex1) | (~v90(constB115, bitIndex0))))),
% 15.28/10.52 inference(tautology,[status(thm)],[])).
% 15.28/10.52 tff(17886,plain,
% 15.28/10.52 (~v120(constB115)),
% 15.28/10.52 inference(unit_resolution,[status(thm)],[17885, 17884, 17882])).
% 15.28/10.52 tff(17887,plain,
% 15.28/10.52 (((~![VarCurr: $i] : (v124(VarCurr) | v123(VarCurr) | v122(VarCurr) | v121(VarCurr) | v120(VarCurr) | v119(VarCurr) | ![B: $i] : ((~less_3(B)) | (v130(VarCurr, B) <=> b001(B))))) | (v119(constB115) | v120(constB115) | v121(constB115) | v122(constB115) | v123(constB115) | v124(constB115) | ![B: $i] : ((~less_3(B)) | (v130(constB115, B) <=> b001(B))))) <=> ((~![VarCurr: $i] : (v124(VarCurr) | v123(VarCurr) | v122(VarCurr) | v121(VarCurr) | v120(VarCurr) | v119(VarCurr) | ![B: $i] : ((~less_3(B)) | (v130(VarCurr, B) <=> b001(B))))) | v119(constB115) | v120(constB115) | v121(constB115) | v122(constB115) | v123(constB115) | v124(constB115) | ![B: $i] : ((~less_3(B)) | (v130(constB115, B) <=> b001(B))))),
% 15.28/10.53 inference(rewrite,[status(thm)],[])).
% 15.28/10.53 tff(17888,plain,
% 15.28/10.53 ((v124(constB115) | v123(constB115) | v122(constB115) | v121(constB115) | v120(constB115) | v119(constB115) | ![B: $i] : ((~less_3(B)) | (v130(constB115, B) <=> b001(B)))) <=> (v119(constB115) | v120(constB115) | v121(constB115) | v122(constB115) | v123(constB115) | v124(constB115) | ![B: $i] : ((~less_3(B)) | (v130(constB115, B) <=> b001(B))))),
% 15.28/10.53 inference(rewrite,[status(thm)],[])).
% 15.28/10.53 tff(17889,plain,
% 15.28/10.53 (((~![VarCurr: $i] : (v124(VarCurr) | v123(VarCurr) | v122(VarCurr) | v121(VarCurr) | v120(VarCurr) | v119(VarCurr) | ![B: $i] : ((~less_3(B)) | (v130(VarCurr, B) <=> b001(B))))) | (v124(constB115) | v123(constB115) | v122(constB115) | v121(constB115) | v120(constB115) | v119(constB115) | ![B: $i] : ((~less_3(B)) | (v130(constB115, B) <=> b001(B))))) <=> ((~![VarCurr: $i] : (v124(VarCurr) | v123(VarCurr) | v122(VarCurr) | v121(VarCurr) | v120(VarCurr) | v119(VarCurr) | ![B: $i] : ((~less_3(B)) | (v130(VarCurr, B) <=> b001(B))))) | (v119(constB115) | v120(constB115) | v121(constB115) | v122(constB115) | v123(constB115) | v124(constB115) | ![B: $i] : ((~less_3(B)) | (v130(constB115, B) <=> b001(B)))))),
% 15.28/10.53 inference(monotonicity,[status(thm)],[17888])).
% 15.28/10.53 tff(17890,plain,
% 15.28/10.53 (((~![VarCurr: $i] : (v124(VarCurr) | v123(VarCurr) | v122(VarCurr) | v121(VarCurr) | v120(VarCurr) | v119(VarCurr) | ![B: $i] : ((~less_3(B)) | (v130(VarCurr, B) <=> b001(B))))) | (v124(constB115) | v123(constB115) | v122(constB115) | v121(constB115) | v120(constB115) | v119(constB115) | ![B: $i] : ((~less_3(B)) | (v130(constB115, B) <=> b001(B))))) <=> ((~![VarCurr: $i] : (v124(VarCurr) | v123(VarCurr) | v122(VarCurr) | v121(VarCurr) | v120(VarCurr) | v119(VarCurr) | ![B: $i] : ((~less_3(B)) | (v130(VarCurr, B) <=> b001(B))))) | v119(constB115) | v120(constB115) | v121(constB115) | v122(constB115) | v123(constB115) | v124(constB115) | ![B: $i] : ((~less_3(B)) | (v130(constB115, B) <=> b001(B))))),
% 15.28/10.53 inference(transitivity,[status(thm)],[17889, 17887])).
% 15.28/10.53 tff(17891,plain,
% 15.28/10.53 ((~![VarCurr: $i] : (v124(VarCurr) | v123(VarCurr) | v122(VarCurr) | v121(VarCurr) | v120(VarCurr) | v119(VarCurr) | ![B: $i] : ((~less_3(B)) | (v130(VarCurr, B) <=> b001(B))))) | (v124(constB115) | v123(constB115) | v122(constB115) | v121(constB115) | v120(constB115) | v119(constB115) | ![B: $i] : ((~less_3(B)) | (v130(constB115, B) <=> b001(B))))),
% 15.28/10.53 inference(quant_inst,[status(thm)],[])).
% 15.28/10.53 tff(17892,plain,
% 15.28/10.53 ((~![VarCurr: $i] : (v124(VarCurr) | v123(VarCurr) | v122(VarCurr) | v121(VarCurr) | v120(VarCurr) | v119(VarCurr) | ![B: $i] : ((~less_3(B)) | (v130(VarCurr, B) <=> b001(B))))) | v119(constB115) | v120(constB115) | v121(constB115) | v122(constB115) | v123(constB115) | v124(constB115) | ![B: $i] : ((~less_3(B)) | (v130(constB115, B) <=> b001(B)))),
% 15.28/10.53 inference(modus_ponens,[status(thm)],[17891, 17890])).
% 15.28/10.53 tff(17893,plain,
% 15.28/10.53 (v119(constB115) | v120(constB115) | v121(constB115) | v122(constB115) | v123(constB115) | v124(constB115) | ![B: $i] : ((~less_3(B)) | (v130(constB115, B) <=> b001(B)))),
% 15.28/10.53 inference(unit_resolution,[status(thm)],[17892, 5610])).
% 15.28/10.53 tff(17894,plain,
% 15.28/10.53 (![B: $i] : ((~less_3(B)) | (v130(constB115, B) <=> b001(B)))),
% 15.28/10.53 inference(unit_resolution,[status(thm)],[17893, 17886, 17875, 17864, 17853, 17842, 17831])).
% 15.28/10.53 tff(17895,plain,
% 15.28/10.53 (((~![B: $i] : ((~less_3(B)) | (v130(constB115, B) <=> b001(B)))) | ((~less_3(bitIndex2)) | (v130(constB115, bitIndex2) <=> b001(bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v130(constB115, B) <=> b001(B)))) | (~less_3(bitIndex2)) | (v130(constB115, bitIndex2) <=> b001(bitIndex2)))),
% 15.28/10.53 inference(rewrite,[status(thm)],[])).
% 15.28/10.53 tff(17896,plain,
% 15.28/10.53 ((~![B: $i] : ((~less_3(B)) | (v130(constB115, B) <=> b001(B)))) | ((~less_3(bitIndex2)) | (v130(constB115, bitIndex2) <=> b001(bitIndex2)))),
% 15.28/10.53 inference(quant_inst,[status(thm)],[])).
% 15.28/10.53 tff(17897,plain,
% 15.28/10.53 ((~![B: $i] : ((~less_3(B)) | (v130(constB115, B) <=> b001(B)))) | (~less_3(bitIndex2)) | (v130(constB115, bitIndex2) <=> b001(bitIndex2))),
% 15.28/10.53 inference(modus_ponens,[status(thm)],[17896, 17895])).
% 15.28/10.53 tff(17898,plain,
% 15.28/10.53 (v130(constB115, bitIndex2) <=> b001(bitIndex2)),
% 15.28/10.53 inference(unit_resolution,[status(thm)],[17897, 413, 17894])).
% 15.28/10.53 tff(17899,plain,
% 15.28/10.53 ((~(v130(constB115, bitIndex2) <=> b001(bitIndex2))) | (~v130(constB115, bitIndex2)) | b001(bitIndex2)),
% 15.28/10.53 inference(tautology,[status(thm)],[])).
% 15.28/10.53 tff(17900,plain,
% 15.28/10.53 ((~(v130(constB115, bitIndex2) <=> b001(bitIndex2))) | (~v130(constB115, bitIndex2))),
% 15.28/10.53 inference(unit_resolution,[status(thm)],[17899, 5625])).
% 15.28/10.53 tff(17901,plain,
% 15.28/10.53 (~v130(constB115, bitIndex2)),
% 15.28/10.53 inference(unit_resolution,[status(thm)],[17900, 17898])).
% 15.28/10.53 tff(17902,plain,
% 15.28/10.53 ((~(v127(constB115, bitIndex2) <=> v130(constB115, bitIndex2))) | (~v127(constB115, bitIndex2)) | v130(constB115, bitIndex2)),
% 15.28/10.53 inference(tautology,[status(thm)],[])).
% 15.28/10.53 tff(17903,plain,
% 15.28/10.53 (~v127(constB115, bitIndex2)),
% 15.28/10.53 inference(unit_resolution,[status(thm)],[17902, 17901, 17825])).
% 15.28/10.53 tff(17904,plain,
% 15.28/10.53 ((~(v129(constB116, bitIndex2) <=> v127(constB115, bitIndex2))) | (~v129(constB116, bitIndex2)) | v127(constB115, bitIndex2)),
% 15.28/10.53 inference(tautology,[status(thm)],[])).
% 15.28/10.53 tff(17905,plain,
% 15.28/10.53 (~v129(constB116, bitIndex2)),
% 15.28/10.53 inference(unit_resolution,[status(thm)],[17904, 17903, 17817])).
% 15.28/10.53 tff(17906,plain,
% 15.28/10.53 ((~(v90(constB116, bitIndex2) <=> v129(constB116, bitIndex2))) | (~v90(constB116, bitIndex2)) | v129(constB116, bitIndex2)),
% 15.28/10.53 inference(tautology,[status(thm)],[])).
% 15.28/10.53 tff(17907,plain,
% 15.28/10.53 (~v90(constB116, bitIndex2)),
% 15.28/10.53 inference(unit_resolution,[status(thm)],[17906, 17905, 17809])).
% 15.28/10.53 tff(17908,plain,
% 15.28/10.53 ((~(v90(constB117, bitIndex2) <=> v90(constB116, bitIndex2))) | (~v90(constB117, bitIndex2)) | v90(constB116, bitIndex2)),
% 15.28/10.53 inference(tautology,[status(thm)],[])).
% 15.28/10.53 tff(17909,plain,
% 15.28/10.53 (~v90(constB117, bitIndex2)),
% 15.28/10.53 inference(unit_resolution,[status(thm)],[17908, 17907, 15136])).
% 15.28/10.53 tff(17910,plain,
% 15.28/10.53 (((~![B: $i] : ((~less_3(B)) | (v90(constB117, B) <=> v90(constB116, B)))) | ((~less_3(bitIndex0)) | (v90(constB117, bitIndex0) <=> v90(constB116, bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v90(constB117, B) <=> v90(constB116, B)))) | (~less_3(bitIndex0)) | (v90(constB117, bitIndex0) <=> v90(constB116, bitIndex0)))),
% 15.28/10.53 inference(rewrite,[status(thm)],[])).
% 15.28/10.53 tff(17911,plain,
% 15.28/10.53 ((~![B: $i] : ((~less_3(B)) | (v90(constB117, B) <=> v90(constB116, B)))) | ((~less_3(bitIndex0)) | (v90(constB117, bitIndex0) <=> v90(constB116, bitIndex0)))),
% 15.28/10.53 inference(quant_inst,[status(thm)],[])).
% 15.28/10.53 tff(17912,plain,
% 15.28/10.53 ((~![B: $i] : ((~less_3(B)) | (v90(constB117, B) <=> v90(constB116, B)))) | (~less_3(bitIndex0)) | (v90(constB117, bitIndex0) <=> v90(constB116, bitIndex0))),
% 15.28/10.53 inference(modus_ponens,[status(thm)],[17911, 17910])).
% 15.28/10.53 tff(17913,plain,
% 15.28/10.53 (v90(constB117, bitIndex0) <=> v90(constB116, bitIndex0)),
% 15.28/10.53 inference(unit_resolution,[status(thm)],[17912, 5004, 15132])).
% 15.28/10.53 tff(17914,plain,
% 15.28/10.53 (((~![B: $i] : ((~less_3(B)) | (v90(constB116, B) <=> v129(constB116, B)))) | ((~less_3(bitIndex0)) | (v90(constB116, bitIndex0) <=> v129(constB116, bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v90(constB116, B) <=> v129(constB116, B)))) | (~less_3(bitIndex0)) | (v90(constB116, bitIndex0) <=> v129(constB116, bitIndex0)))),
% 15.28/10.53 inference(rewrite,[status(thm)],[])).
% 15.28/10.53 tff(17915,plain,
% 15.28/10.53 ((~![B: $i] : ((~less_3(B)) | (v90(constB116, B) <=> v129(constB116, B)))) | ((~less_3(bitIndex0)) | (v90(constB116, bitIndex0) <=> v129(constB116, bitIndex0)))),
% 15.28/10.53 inference(quant_inst,[status(thm)],[])).
% 15.28/10.53 tff(17916,plain,
% 15.28/10.53 ((~![B: $i] : ((~less_3(B)) | (v90(constB116, B) <=> v129(constB116, B)))) | (~less_3(bitIndex0)) | (v90(constB116, bitIndex0) <=> v129(constB116, bitIndex0))),
% 15.28/10.53 inference(modus_ponens,[status(thm)],[17915, 17914])).
% 15.28/10.53 tff(17917,plain,
% 15.28/10.53 (v90(constB116, bitIndex0) <=> v129(constB116, bitIndex0)),
% 15.28/10.53 inference(unit_resolution,[status(thm)],[17916, 5004, 17805])).
% 15.28/10.53 tff(17918,plain,
% 15.28/10.53 (((~![B: $i] : ((~less_3(B)) | (v129(constB116, B) <=> v127(constB115, B)))) | ((~less_3(bitIndex0)) | (v129(constB116, bitIndex0) <=> v127(constB115, bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v129(constB116, B) <=> v127(constB115, B)))) | (~less_3(bitIndex0)) | (v129(constB116, bitIndex0) <=> v127(constB115, bitIndex0)))),
% 15.28/10.53 inference(rewrite,[status(thm)],[])).
% 15.28/10.53 tff(17919,plain,
% 15.28/10.53 ((~![B: $i] : ((~less_3(B)) | (v129(constB116, B) <=> v127(constB115, B)))) | ((~less_3(bitIndex0)) | (v129(constB116, bitIndex0) <=> v127(constB115, bitIndex0)))),
% 15.28/10.53 inference(quant_inst,[status(thm)],[])).
% 15.28/10.53 tff(17920,plain,
% 15.28/10.53 ((~![B: $i] : ((~less_3(B)) | (v129(constB116, B) <=> v127(constB115, B)))) | (~less_3(bitIndex0)) | (v129(constB116, bitIndex0) <=> v127(constB115, bitIndex0))),
% 15.28/10.53 inference(modus_ponens,[status(thm)],[17919, 17918])).
% 15.28/10.53 tff(17921,plain,
% 15.28/10.53 (v129(constB116, bitIndex0) <=> v127(constB115, bitIndex0)),
% 15.28/10.53 inference(unit_resolution,[status(thm)],[17920, 5004, 17813])).
% 15.28/10.53 tff(17922,plain,
% 15.28/10.53 (((~![B: $i] : ((~less_3(B)) | (v127(constB115, B) <=> v130(constB115, B)))) | ((~less_3(bitIndex0)) | (v127(constB115, bitIndex0) <=> v130(constB115, bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v127(constB115, B) <=> v130(constB115, B)))) | (~less_3(bitIndex0)) | (v127(constB115, bitIndex0) <=> v130(constB115, bitIndex0)))),
% 15.28/10.53 inference(rewrite,[status(thm)],[])).
% 15.28/10.53 tff(17923,plain,
% 15.28/10.53 ((~![B: $i] : ((~less_3(B)) | (v127(constB115, B) <=> v130(constB115, B)))) | ((~less_3(bitIndex0)) | (v127(constB115, bitIndex0) <=> v130(constB115, bitIndex0)))),
% 15.28/10.53 inference(quant_inst,[status(thm)],[])).
% 15.28/10.53 tff(17924,plain,
% 15.28/10.53 ((~![B: $i] : ((~less_3(B)) | (v127(constB115, B) <=> v130(constB115, B)))) | (~less_3(bitIndex0)) | (v127(constB115, bitIndex0) <=> v130(constB115, bitIndex0))),
% 15.28/10.53 inference(modus_ponens,[status(thm)],[17923, 17922])).
% 15.28/10.53 tff(17925,plain,
% 15.28/10.53 (v127(constB115, bitIndex0) <=> v130(constB115, bitIndex0)),
% 15.28/10.53 inference(unit_resolution,[status(thm)],[17924, 5004, 17821])).
% 15.28/10.53 tff(17926,plain,
% 15.28/10.53 (((~![B: $i] : ((~less_3(B)) | (v130(constB115, B) <=> b001(B)))) | ((~less_3(bitIndex0)) | (v130(constB115, bitIndex0) <=> b001(bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v130(constB115, B) <=> b001(B)))) | (~less_3(bitIndex0)) | (v130(constB115, bitIndex0) <=> b001(bitIndex0)))),
% 15.28/10.53 inference(rewrite,[status(thm)],[])).
% 15.28/10.53 tff(17927,plain,
% 15.28/10.53 ((~![B: $i] : ((~less_3(B)) | (v130(constB115, B) <=> b001(B)))) | ((~less_3(bitIndex0)) | (v130(constB115, bitIndex0) <=> b001(bitIndex0)))),
% 15.28/10.53 inference(quant_inst,[status(thm)],[])).
% 15.28/10.53 tff(17928,plain,
% 15.28/10.53 ((~![B: $i] : ((~less_3(B)) | (v130(constB115, B) <=> b001(B)))) | (~less_3(bitIndex0)) | (v130(constB115, bitIndex0) <=> b001(bitIndex0))),
% 15.28/10.53 inference(modus_ponens,[status(thm)],[17927, 17926])).
% 15.28/10.53 tff(17929,plain,
% 15.28/10.53 (v130(constB115, bitIndex0) <=> b001(bitIndex0)),
% 15.28/10.53 inference(unit_resolution,[status(thm)],[17928, 5004, 17894])).
% 15.28/10.53 tff(17930,plain,
% 15.28/10.53 ((~(v130(constB115, bitIndex0) <=> b001(bitIndex0))) | v130(constB115, bitIndex0) | (~b001(bitIndex0))),
% 15.28/10.53 inference(tautology,[status(thm)],[])).
% 15.28/10.53 tff(17931,plain,
% 15.28/10.53 ((~(v130(constB115, bitIndex0) <=> b001(bitIndex0))) | v130(constB115, bitIndex0)),
% 15.28/10.53 inference(unit_resolution,[status(thm)],[17930, 5659])).
% 15.28/10.53 tff(17932,plain,
% 15.28/10.53 (v130(constB115, bitIndex0)),
% 15.28/10.53 inference(unit_resolution,[status(thm)],[17931, 17929])).
% 15.28/10.53 tff(17933,plain,
% 15.28/10.53 ((~(v127(constB115, bitIndex0) <=> v130(constB115, bitIndex0))) | v127(constB115, bitIndex0) | (~v130(constB115, bitIndex0))),
% 15.28/10.53 inference(tautology,[status(thm)],[])).
% 15.28/10.53 tff(17934,plain,
% 15.28/10.53 (v127(constB115, bitIndex0)),
% 15.28/10.53 inference(unit_resolution,[status(thm)],[17933, 17932, 17925])).
% 15.28/10.53 tff(17935,plain,
% 15.28/10.53 ((~(v129(constB116, bitIndex0) <=> v127(constB115, bitIndex0))) | v129(constB116, bitIndex0) | (~v127(constB115, bitIndex0))),
% 15.28/10.53 inference(tautology,[status(thm)],[])).
% 15.28/10.53 tff(17936,plain,
% 15.28/10.53 (v129(constB116, bitIndex0)),
% 15.28/10.53 inference(unit_resolution,[status(thm)],[17935, 17934, 17921])).
% 15.28/10.53 tff(17937,plain,
% 15.28/10.53 ((~(v90(constB116, bitIndex0) <=> v129(constB116, bitIndex0))) | v90(constB116, bitIndex0) | (~v129(constB116, bitIndex0))),
% 15.28/10.53 inference(tautology,[status(thm)],[])).
% 15.28/10.53 tff(17938,plain,
% 15.28/10.53 (v90(constB116, bitIndex0)),
% 15.28/10.53 inference(unit_resolution,[status(thm)],[17937, 17936, 17917])).
% 15.28/10.53 tff(17939,plain,
% 15.28/10.53 ((~(v90(constB117, bitIndex0) <=> v90(constB116, bitIndex0))) | v90(constB117, bitIndex0) | (~v90(constB116, bitIndex0))),
% 15.28/10.53 inference(tautology,[status(thm)],[])).
% 15.28/10.53 tff(17940,plain,
% 15.28/10.53 (v90(constB117, bitIndex0)),
% 15.28/10.53 inference(unit_resolution,[status(thm)],[17939, 17938, 17913])).
% 15.28/10.53 tff(17941,plain,
% 15.28/10.53 (((~![B: $i] : ((~less_3(B)) | (v90(constB117, B) <=> v90(constB116, B)))) | ((~less_3(bitIndex1)) | (v90(constB117, bitIndex1) <=> v90(constB116, bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v90(constB117, B) <=> v90(constB116, B)))) | (~less_3(bitIndex1)) | (v90(constB117, bitIndex1) <=> v90(constB116, bitIndex1)))),
% 15.28/10.53 inference(rewrite,[status(thm)],[])).
% 15.28/10.53 tff(17942,plain,
% 15.28/10.53 ((~![B: $i] : ((~less_3(B)) | (v90(constB117, B) <=> v90(constB116, B)))) | ((~less_3(bitIndex1)) | (v90(constB117, bitIndex1) <=> v90(constB116, bitIndex1)))),
% 15.28/10.53 inference(quant_inst,[status(thm)],[])).
% 15.28/10.53 tff(17943,plain,
% 15.28/10.53 ((~![B: $i] : ((~less_3(B)) | (v90(constB117, B) <=> v90(constB116, B)))) | (~less_3(bitIndex1)) | (v90(constB117, bitIndex1) <=> v90(constB116, bitIndex1))),
% 15.28/10.53 inference(modus_ponens,[status(thm)],[17942, 17941])).
% 15.28/10.53 tff(17944,plain,
% 15.28/10.53 (v90(constB117, bitIndex1) <=> v90(constB116, bitIndex1)),
% 15.28/10.53 inference(unit_resolution,[status(thm)],[17943, 5017, 15132])).
% 15.28/10.53 tff(17945,plain,
% 15.28/10.53 (((~![B: $i] : ((~less_3(B)) | (v90(constB116, B) <=> v129(constB116, B)))) | ((~less_3(bitIndex1)) | (v90(constB116, bitIndex1) <=> v129(constB116, bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v90(constB116, B) <=> v129(constB116, B)))) | (~less_3(bitIndex1)) | (v90(constB116, bitIndex1) <=> v129(constB116, bitIndex1)))),
% 15.28/10.53 inference(rewrite,[status(thm)],[])).
% 15.28/10.53 tff(17946,plain,
% 15.28/10.53 ((~![B: $i] : ((~less_3(B)) | (v90(constB116, B) <=> v129(constB116, B)))) | ((~less_3(bitIndex1)) | (v90(constB116, bitIndex1) <=> v129(constB116, bitIndex1)))),
% 15.28/10.53 inference(quant_inst,[status(thm)],[])).
% 15.28/10.53 tff(17947,plain,
% 15.28/10.53 ((~![B: $i] : ((~less_3(B)) | (v90(constB116, B) <=> v129(constB116, B)))) | (~less_3(bitIndex1)) | (v90(constB116, bitIndex1) <=> v129(constB116, bitIndex1))),
% 15.28/10.53 inference(modus_ponens,[status(thm)],[17946, 17945])).
% 15.28/10.53 tff(17948,plain,
% 15.28/10.53 (v90(constB116, bitIndex1) <=> v129(constB116, bitIndex1)),
% 15.28/10.53 inference(unit_resolution,[status(thm)],[17947, 5017, 17805])).
% 15.28/10.53 tff(17949,plain,
% 15.28/10.53 (((~![B: $i] : ((~less_3(B)) | (v129(constB116, B) <=> v127(constB115, B)))) | ((~less_3(bitIndex1)) | (v129(constB116, bitIndex1) <=> v127(constB115, bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v129(constB116, B) <=> v127(constB115, B)))) | (~less_3(bitIndex1)) | (v129(constB116, bitIndex1) <=> v127(constB115, bitIndex1)))),
% 15.28/10.53 inference(rewrite,[status(thm)],[])).
% 15.28/10.53 tff(17950,plain,
% 15.28/10.53 ((~![B: $i] : ((~less_3(B)) | (v129(constB116, B) <=> v127(constB115, B)))) | ((~less_3(bitIndex1)) | (v129(constB116, bitIndex1) <=> v127(constB115, bitIndex1)))),
% 15.28/10.53 inference(quant_inst,[status(thm)],[])).
% 15.28/10.53 tff(17951,plain,
% 15.28/10.53 ((~![B: $i] : ((~less_3(B)) | (v129(constB116, B) <=> v127(constB115, B)))) | (~less_3(bitIndex1)) | (v129(constB116, bitIndex1) <=> v127(constB115, bitIndex1))),
% 15.28/10.53 inference(modus_ponens,[status(thm)],[17950, 17949])).
% 15.28/10.53 tff(17952,plain,
% 15.28/10.53 (v129(constB116, bitIndex1) <=> v127(constB115, bitIndex1)),
% 15.28/10.53 inference(unit_resolution,[status(thm)],[17951, 5017, 17813])).
% 15.28/10.53 tff(17953,plain,
% 15.28/10.53 (((~![B: $i] : ((~less_3(B)) | (v127(constB115, B) <=> v130(constB115, B)))) | ((~less_3(bitIndex1)) | (v127(constB115, bitIndex1) <=> v130(constB115, bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v127(constB115, B) <=> v130(constB115, B)))) | (~less_3(bitIndex1)) | (v127(constB115, bitIndex1) <=> v130(constB115, bitIndex1)))),
% 15.28/10.53 inference(rewrite,[status(thm)],[])).
% 15.28/10.53 tff(17954,plain,
% 15.28/10.53 ((~![B: $i] : ((~less_3(B)) | (v127(constB115, B) <=> v130(constB115, B)))) | ((~less_3(bitIndex1)) | (v127(constB115, bitIndex1) <=> v130(constB115, bitIndex1)))),
% 15.28/10.53 inference(quant_inst,[status(thm)],[])).
% 15.28/10.53 tff(17955,plain,
% 15.28/10.53 ((~![B: $i] : ((~less_3(B)) | (v127(constB115, B) <=> v130(constB115, B)))) | (~less_3(bitIndex1)) | (v127(constB115, bitIndex1) <=> v130(constB115, bitIndex1))),
% 15.28/10.53 inference(modus_ponens,[status(thm)],[17954, 17953])).
% 15.28/10.53 tff(17956,plain,
% 15.28/10.53 (v127(constB115, bitIndex1) <=> v130(constB115, bitIndex1)),
% 15.28/10.53 inference(unit_resolution,[status(thm)],[17955, 5017, 17821])).
% 15.28/10.53 tff(17957,plain,
% 15.28/10.53 (((~![B: $i] : ((~less_3(B)) | (v130(constB115, B) <=> b001(B)))) | ((~less_3(bitIndex1)) | (v130(constB115, bitIndex1) <=> b001(bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v130(constB115, B) <=> b001(B)))) | (~less_3(bitIndex1)) | (v130(constB115, bitIndex1) <=> b001(bitIndex1)))),
% 15.28/10.53 inference(rewrite,[status(thm)],[])).
% 15.28/10.53 tff(17958,plain,
% 15.28/10.53 ((~![B: $i] : ((~less_3(B)) | (v130(constB115, B) <=> b001(B)))) | ((~less_3(bitIndex1)) | (v130(constB115, bitIndex1) <=> b001(bitIndex1)))),
% 15.28/10.53 inference(quant_inst,[status(thm)],[])).
% 15.28/10.53 tff(17959,plain,
% 15.28/10.53 ((~![B: $i] : ((~less_3(B)) | (v130(constB115, B) <=> b001(B)))) | (~less_3(bitIndex1)) | (v130(constB115, bitIndex1) <=> b001(bitIndex1))),
% 15.28/10.53 inference(modus_ponens,[status(thm)],[17958, 17957])).
% 15.28/10.53 tff(17960,plain,
% 15.28/10.53 (v130(constB115, bitIndex1) <=> b001(bitIndex1)),
% 15.28/10.53 inference(unit_resolution,[status(thm)],[17959, 5017, 17894])).
% 15.28/10.53 tff(17961,plain,
% 15.28/10.53 ((~(v130(constB115, bitIndex1) <=> b001(bitIndex1))) | (~v130(constB115, bitIndex1)) | b001(bitIndex1)),
% 15.28/10.53 inference(tautology,[status(thm)],[])).
% 15.28/10.53 tff(17962,plain,
% 15.28/10.53 ((~(v130(constB115, bitIndex1) <=> b001(bitIndex1))) | (~v130(constB115, bitIndex1))),
% 15.28/10.53 inference(unit_resolution,[status(thm)],[17961, 5693])).
% 15.28/10.53 tff(17963,plain,
% 15.28/10.53 (~v130(constB115, bitIndex1)),
% 15.28/10.53 inference(unit_resolution,[status(thm)],[17962, 17960])).
% 15.28/10.53 tff(17964,plain,
% 15.28/10.53 ((~(v127(constB115, bitIndex1) <=> v130(constB115, bitIndex1))) | (~v127(constB115, bitIndex1)) | v130(constB115, bitIndex1)),
% 15.28/10.53 inference(tautology,[status(thm)],[])).
% 15.28/10.53 tff(17965,plain,
% 15.28/10.53 (~v127(constB115, bitIndex1)),
% 15.28/10.53 inference(unit_resolution,[status(thm)],[17964, 17963, 17956])).
% 15.28/10.53 tff(17966,plain,
% 15.28/10.53 ((~(v129(constB116, bitIndex1) <=> v127(constB115, bitIndex1))) | (~v129(constB116, bitIndex1)) | v127(constB115, bitIndex1)),
% 15.28/10.53 inference(tautology,[status(thm)],[])).
% 15.28/10.53 tff(17967,plain,
% 15.28/10.53 (~v129(constB116, bitIndex1)),
% 15.28/10.53 inference(unit_resolution,[status(thm)],[17966, 17965, 17952])).
% 15.28/10.53 tff(17968,plain,
% 15.28/10.53 ((~(v90(constB116, bitIndex1) <=> v129(constB116, bitIndex1))) | (~v90(constB116, bitIndex1)) | v129(constB116, bitIndex1)),
% 15.28/10.53 inference(tautology,[status(thm)],[])).
% 15.28/10.53 tff(17969,plain,
% 15.28/10.53 (~v90(constB116, bitIndex1)),
% 15.28/10.53 inference(unit_resolution,[status(thm)],[17968, 17967, 17948])).
% 15.28/10.53 tff(17970,plain,
% 15.28/10.53 ((~(v90(constB117, bitIndex1) <=> v90(constB116, bitIndex1))) | (~v90(constB117, bitIndex1)) | v90(constB116, bitIndex1)),
% 15.28/10.53 inference(tautology,[status(thm)],[])).
% 15.28/10.53 tff(17971,plain,
% 15.28/10.53 (~v90(constB117, bitIndex1)),
% 15.28/10.53 inference(unit_resolution,[status(thm)],[17970, 17969, 17944])).
% 15.28/10.53 tff(17972,plain,
% 15.28/10.53 ((~(v90(constB117, bitIndex2) | v90(constB117, bitIndex1) | (~v90(constB117, bitIndex0)))) | v90(constB117, bitIndex2) | v90(constB117, bitIndex1) | (~v90(constB117, bitIndex0))),
% 15.28/10.53 inference(tautology,[status(thm)],[])).
% 15.28/10.53 tff(17973,plain,
% 15.28/10.53 (~(v90(constB117, bitIndex2) | v90(constB117, bitIndex1) | (~v90(constB117, bitIndex0)))),
% 15.28/10.53 inference(unit_resolution,[status(thm)],[17972, 17971, 17940, 17909])).
% 15.28/10.53 tff(17974,plain,
% 15.28/10.53 ((~(v120(constB117) <=> (~(v90(constB117, bitIndex2) | v90(constB117, bitIndex1) | (~v90(constB117, bitIndex0)))))) | v120(constB117) | (v90(constB117, bitIndex2) | v90(constB117, bitIndex1) | (~v90(constB117, bitIndex0)))),
% 15.28/10.53 inference(tautology,[status(thm)],[])).
% 15.28/10.53 tff(17975,plain,
% 15.28/10.53 (v120(constB117)),
% 15.28/10.53 inference(unit_resolution,[status(thm)],[17974, 17973, 15104])).
% 15.28/10.53 tff(17976,plain,
% 15.28/10.53 ((v119(constB117) | v120(constB117)) | (~v120(constB117))),
% 15.28/10.53 inference(tautology,[status(thm)],[])).
% 15.28/10.53 tff(17977,plain,
% 15.28/10.53 (v119(constB117) | v120(constB117)),
% 15.28/10.53 inference(unit_resolution,[status(thm)],[17976, 17975])).
% 15.28/10.53 tff(17978,plain,
% 15.28/10.53 ((~(v118(constB117) <=> (v119(constB117) | v120(constB117)))) | v118(constB117) | (~(v119(constB117) | v120(constB117)))),
% 15.28/10.53 inference(tautology,[status(thm)],[])).
% 15.28/10.53 tff(17979,plain,
% 15.28/10.53 (v118(constB117)),
% 15.28/10.53 inference(unit_resolution,[status(thm)],[17978, 17977, 15097])).
% 15.28/10.53 tff(17980,plain,
% 15.28/10.53 ((v118(constB117) | v121(constB117)) | (~v118(constB117))),
% 15.28/10.53 inference(tautology,[status(thm)],[])).
% 15.28/10.53 tff(17981,plain,
% 15.28/10.53 (v118(constB117) | v121(constB117)),
% 15.28/10.53 inference(unit_resolution,[status(thm)],[17980, 17979])).
% 15.28/10.53 tff(17982,plain,
% 15.28/10.53 ((~(v117(constB117) <=> (v118(constB117) | v121(constB117)))) | v117(constB117) | (~(v118(constB117) | v121(constB117)))),
% 15.28/10.53 inference(tautology,[status(thm)],[])).
% 15.28/10.53 tff(17983,plain,
% 15.28/10.53 (v117(constB117)),
% 15.28/10.53 inference(unit_resolution,[status(thm)],[17982, 17981, 15095])).
% 15.28/10.53 tff(17984,plain,
% 15.28/10.53 ((v117(constB117) | v122(constB117)) | (~v117(constB117))),
% 15.28/10.53 inference(tautology,[status(thm)],[])).
% 15.28/10.53 tff(17985,plain,
% 15.28/10.53 (v117(constB117) | v122(constB117)),
% 15.28/10.53 inference(unit_resolution,[status(thm)],[17984, 17983])).
% 15.28/10.53 tff(17986,plain,
% 15.28/10.53 ((~(v116(constB117) <=> (v117(constB117) | v122(constB117)))) | v116(constB117) | (~(v117(constB117) | v122(constB117)))),
% 15.28/10.53 inference(tautology,[status(thm)],[])).
% 15.28/10.53 tff(17987,plain,
% 15.28/10.53 (v116(constB117)),
% 15.28/10.53 inference(unit_resolution,[status(thm)],[17986, 17985, 15093])).
% 15.28/10.53 tff(17988,plain,
% 15.28/10.53 ((v116(constB117) | v123(constB117)) | (~v116(constB117))),
% 15.28/10.53 inference(tautology,[status(thm)],[])).
% 15.28/10.53 tff(17989,plain,
% 15.28/10.53 (v116(constB117) | v123(constB117)),
% 15.28/10.53 inference(unit_resolution,[status(thm)],[17988, 17987])).
% 15.28/10.53 tff(17990,plain,
% 15.28/10.53 ((~(v115(constB117) <=> (v116(constB117) | v123(constB117)))) | v115(constB117) | (~(v116(constB117) | v123(constB117)))),
% 15.28/10.53 inference(tautology,[status(thm)],[])).
% 15.28/10.53 tff(17991,plain,
% 15.28/10.53 (v115(constB117)),
% 15.28/10.53 inference(unit_resolution,[status(thm)],[17990, 17989, 15091])).
% 15.28/10.53 tff(17992,plain,
% 15.28/10.53 ((v115(constB117) | v124(constB117)) | (~v115(constB117))),
% 15.28/10.53 inference(tautology,[status(thm)],[])).
% 15.28/10.53 tff(17993,plain,
% 15.28/10.53 (v115(constB117) | v124(constB117)),
% 15.28/10.53 inference(unit_resolution,[status(thm)],[17992, 17991])).
% 15.28/10.53 tff(17994,plain,
% 15.28/10.53 ((~(v114(constB117) <=> (v115(constB117) | v124(constB117)))) | v114(constB117) | (~(v115(constB117) | v124(constB117)))),
% 15.28/10.53 inference(tautology,[status(thm)],[])).
% 15.28/10.53 tff(17995,plain,
% 15.28/10.53 (v114(constB117)),
% 15.28/10.53 inference(unit_resolution,[status(thm)],[17994, 17993, 15089])).
% 15.28/10.53 tff(17996,plain,
% 15.28/10.53 ((v114(constB117) | v125(constB117)) | (~v114(constB117))),
% 15.28/10.53 inference(tautology,[status(thm)],[])).
% 15.28/10.53 tff(17997,plain,
% 15.28/10.53 (v114(constB117) | v125(constB117)),
% 15.28/10.53 inference(unit_resolution,[status(thm)],[17996, 17995])).
% 15.28/10.53 tff(17998,plain,
% 15.28/10.53 ((~(v113(constB117) <=> (v114(constB117) | v125(constB117)))) | v113(constB117) | (~(v114(constB117) | v125(constB117)))),
% 15.28/10.53 inference(tautology,[status(thm)],[])).
% 15.28/10.53 tff(17999,plain,
% 15.28/10.53 (v113(constB117)),
% 15.28/10.53 inference(unit_resolution,[status(thm)],[17998, 17997, 15087])).
% 15.28/10.53 tff(18000,plain,
% 15.28/10.53 ((~![VarCurr: $i] : ((~v126(VarCurr)) <=> v111(VarCurr))) | ((~v126(constB117)) <=> v111(constB117))),
% 15.28/10.53 inference(quant_inst,[status(thm)],[])).
% 15.28/10.53 tff(18001,plain,
% 15.28/10.53 ((~v126(constB117)) <=> v111(constB117)),
% 15.28/10.53 inference(unit_resolution,[status(thm)],[18000, 5074])).
% 15.28/10.53 tff(18002,plain,
% 15.28/10.53 ((~![VarCurr: $i] : (v111(VarCurr) <=> v26(VarCurr))) | (v111(constB117) <=> v26(constB117))),
% 15.28/10.53 inference(quant_inst,[status(thm)],[])).
% 15.28/10.53 tff(18003,plain,
% 15.28/10.53 (v111(constB117) <=> v26(constB117)),
% 15.28/10.53 inference(unit_resolution,[status(thm)],[18002, 5086])).
% 15.28/10.53 tff(18004,plain,
% 15.28/10.53 ((~![VarCurr: $i] : (~v26(VarCurr))) | (~v26(constB117))),
% 15.28/10.53 inference(quant_inst,[status(thm)],[])).
% 15.28/10.53 tff(18005,plain,
% 15.28/10.53 (~v26(constB117)),
% 15.28/10.53 inference(unit_resolution,[status(thm)],[18004, 5098])).
% 15.28/10.53 tff(18006,plain,
% 15.28/10.53 ((~(v111(constB117) <=> v26(constB117))) | (~v111(constB117)) | v26(constB117)),
% 15.28/10.53 inference(tautology,[status(thm)],[])).
% 15.28/10.53 tff(18007,plain,
% 15.28/10.53 ((~(v111(constB117) <=> v26(constB117))) | (~v111(constB117))),
% 15.28/10.53 inference(unit_resolution,[status(thm)],[18006, 18005])).
% 15.28/10.53 tff(18008,plain,
% 15.28/10.53 (~v111(constB117)),
% 15.28/10.53 inference(unit_resolution,[status(thm)],[18007, 18003])).
% 15.28/10.53 tff(18009,plain,
% 15.28/10.53 ((~((~v126(constB117)) <=> v111(constB117))) | v126(constB117) | v111(constB117)),
% 15.28/10.53 inference(tautology,[status(thm)],[])).
% 15.28/10.53 tff(18010,plain,
% 15.28/10.53 ((~((~v126(constB117)) <=> v111(constB117))) | v126(constB117)),
% 15.28/10.53 inference(unit_resolution,[status(thm)],[18009, 18008])).
% 15.28/10.53 tff(18011,plain,
% 15.28/10.53 (v126(constB117)),
% 15.28/10.53 inference(unit_resolution,[status(thm)],[18010, 18001])).
% 15.28/10.53 tff(18012,plain,
% 15.28/10.53 ((~((~v113(constB117)) | (~v126(constB117)))) | (~v113(constB117)) | (~v126(constB117))),
% 15.28/10.53 inference(tautology,[status(thm)],[])).
% 15.28/10.53 tff(18013,plain,
% 15.28/10.53 ((~((~v113(constB117)) | (~v126(constB117)))) | (~v113(constB117))),
% 15.28/10.53 inference(unit_resolution,[status(thm)],[18012, 18011])).
% 15.28/10.53 tff(18014,plain,
% 15.28/10.53 (~((~v113(constB117)) | (~v126(constB117)))),
% 15.28/10.53 inference(unit_resolution,[status(thm)],[18013, 17999])).
% 15.28/10.53 tff(18015,plain,
% 15.28/10.53 ((~(v112(constB117) <=> (~((~v113(constB117)) | (~v126(constB117)))))) | v112(constB117) | ((~v113(constB117)) | (~v126(constB117)))),
% 15.28/10.53 inference(tautology,[status(thm)],[])).
% 15.28/10.53 tff(18016,plain,
% 15.28/10.53 (v112(constB117)),
% 15.28/10.53 inference(unit_resolution,[status(thm)],[18015, 18014, 15085])).
% 15.28/10.53 tff(18017,plain,
% 15.28/10.53 ((v111(constB117) | v112(constB117)) | (~v112(constB117))),
% 15.28/10.53 inference(tautology,[status(thm)],[])).
% 15.28/10.53 tff(18018,plain,
% 15.28/10.53 (v111(constB117) | v112(constB117)),
% 15.28/10.53 inference(unit_resolution,[status(thm)],[18017, 18016])).
% 15.28/10.53 tff(18019,plain,
% 15.28/10.53 ((~(v108(constB117) <=> (v111(constB117) | v112(constB117)))) | v108(constB117) | (~(v111(constB117) | v112(constB117)))),
% 15.28/10.53 inference(tautology,[status(thm)],[])).
% 15.28/10.53 tff(18020,plain,
% 15.28/10.53 (v108(constB117)),
% 15.28/10.53 inference(unit_resolution,[status(thm)],[18019, 18018, 15083])).
% 15.28/10.53 tff(18021,plain,
% 15.28/10.53 ((~(v110(constB118) <=> v108(constB117))) | v110(constB118) | (~v108(constB117))),
% 15.28/10.53 inference(tautology,[status(thm)],[])).
% 15.28/10.53 tff(18022,plain,
% 15.28/10.53 (v110(constB118)),
% 15.28/10.53 inference(unit_resolution,[status(thm)],[18021, 18020, 15081])).
% 15.28/10.53 tff(18023,plain,
% 15.28/10.53 ((~((~v101(constB118)) | (~v110(constB118)))) | (~v101(constB118)) | (~v110(constB118))),
% 15.28/10.53 inference(tautology,[status(thm)],[])).
% 15.28/10.53 tff(18024,plain,
% 15.28/10.53 (~((~v101(constB118)) | (~v110(constB118)))),
% 15.28/10.53 inference(unit_resolution,[status(thm)],[18023, 18022, 15077])).
% 15.28/10.53 tff(18025,plain,
% 15.28/10.53 ((~(v100(constB118) <=> (~((~v101(constB118)) | (~v110(constB118)))))) | v100(constB118) | ((~v101(constB118)) | (~v110(constB118)))),
% 15.28/10.53 inference(tautology,[status(thm)],[])).
% 15.28/10.53 tff(18026,plain,
% 15.28/10.53 (v100(constB118)),
% 15.28/10.53 inference(unit_resolution,[status(thm)],[18025, 18024, 15046])).
% 15.28/10.53 tff(18027,plain,
% 15.28/10.53 (((~![VarNext: $i] : ((~v100(VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v129(VarNext, B))))) | ((~v100(constB118)) | ![B: $i] : ((~less_3(B)) | (v90(constB118, B) <=> v129(constB118, B))))) <=> ((~![VarNext: $i] : ((~v100(VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v129(VarNext, B))))) | (~v100(constB118)) | ![B: $i] : ((~less_3(B)) | (v90(constB118, B) <=> v129(constB118, B))))),
% 15.28/10.53 inference(rewrite,[status(thm)],[])).
% 15.28/10.53 tff(18028,plain,
% 15.28/10.53 ((~![VarNext: $i] : ((~v100(VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v129(VarNext, B))))) | ((~v100(constB118)) | ![B: $i] : ((~less_3(B)) | (v90(constB118, B) <=> v129(constB118, B))))),
% 15.28/10.53 inference(quant_inst,[status(thm)],[])).
% 15.28/10.53 tff(18029,plain,
% 15.28/10.53 ((~![VarNext: $i] : ((~v100(VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v129(VarNext, B))))) | (~v100(constB118)) | ![B: $i] : ((~less_3(B)) | (v90(constB118, B) <=> v129(constB118, B)))),
% 15.28/10.53 inference(modus_ponens,[status(thm)],[18028, 18027])).
% 15.28/10.53 tff(18030,plain,
% 15.28/10.53 ((~v100(constB118)) | ![B: $i] : ((~less_3(B)) | (v90(constB118, B) <=> v129(constB118, B)))),
% 15.28/10.53 inference(unit_resolution,[status(thm)],[18029, 5134])).
% 15.28/10.53 tff(18031,plain,
% 15.28/10.53 (![B: $i] : ((~less_3(B)) | (v90(constB118, B) <=> v129(constB118, B)))),
% 15.28/10.54 inference(unit_resolution,[status(thm)],[18030, 18026])).
% 15.28/10.54 tff(18032,plain,
% 15.28/10.54 (((~![B: $i] : ((~less_3(B)) | (v90(constB118, B) <=> v129(constB118, B)))) | ((~less_3(bitIndex2)) | (v90(constB118, bitIndex2) <=> v129(constB118, bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v90(constB118, B) <=> v129(constB118, B)))) | (~less_3(bitIndex2)) | (v90(constB118, bitIndex2) <=> v129(constB118, bitIndex2)))),
% 15.28/10.54 inference(rewrite,[status(thm)],[])).
% 15.28/10.54 tff(18033,plain,
% 15.28/10.54 ((~![B: $i] : ((~less_3(B)) | (v90(constB118, B) <=> v129(constB118, B)))) | ((~less_3(bitIndex2)) | (v90(constB118, bitIndex2) <=> v129(constB118, bitIndex2)))),
% 15.28/10.54 inference(quant_inst,[status(thm)],[])).
% 15.28/10.54 tff(18034,plain,
% 15.28/10.54 ((~![B: $i] : ((~less_3(B)) | (v90(constB118, B) <=> v129(constB118, B)))) | (~less_3(bitIndex2)) | (v90(constB118, bitIndex2) <=> v129(constB118, bitIndex2))),
% 15.28/10.54 inference(modus_ponens,[status(thm)],[18033, 18032])).
% 15.28/10.54 tff(18035,plain,
% 15.28/10.54 (v90(constB118, bitIndex2) <=> v129(constB118, bitIndex2)),
% 15.28/10.54 inference(unit_resolution,[status(thm)],[18034, 413, 18031])).
% 15.28/10.54 tff(18036,plain,
% 15.28/10.54 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v129(VarNext, B) <=> v127(VarCurr, B))))) | ((~nextState(constB117, constB118)) | ![B: $i] : ((~less_3(B)) | (v129(constB118, B) <=> v127(constB117, B))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v129(VarNext, B) <=> v127(VarCurr, B))))) | (~nextState(constB117, constB118)) | ![B: $i] : ((~less_3(B)) | (v129(constB118, B) <=> v127(constB117, B))))),
% 15.28/10.54 inference(rewrite,[status(thm)],[])).
% 15.28/10.54 tff(18037,plain,
% 15.28/10.54 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v129(VarNext, B) <=> v127(VarCurr, B))))) | ((~nextState(constB117, constB118)) | ![B: $i] : ((~less_3(B)) | (v129(constB118, B) <=> v127(constB117, B))))),
% 15.28/10.54 inference(quant_inst,[status(thm)],[])).
% 15.28/10.54 tff(18038,plain,
% 15.28/10.54 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v129(VarNext, B) <=> v127(VarCurr, B))))) | (~nextState(constB117, constB118)) | ![B: $i] : ((~less_3(B)) | (v129(constB118, B) <=> v127(constB117, B)))),
% 15.28/10.54 inference(modus_ponens,[status(thm)],[18037, 18036])).
% 15.28/10.54 tff(18039,plain,
% 15.28/10.54 (![B: $i] : ((~less_3(B)) | (v129(constB118, B) <=> v127(constB117, B)))),
% 15.28/10.54 inference(unit_resolution,[status(thm)],[18038, 15042, 5156])).
% 15.28/10.54 tff(18040,plain,
% 15.28/10.54 (((~![B: $i] : ((~less_3(B)) | (v129(constB118, B) <=> v127(constB117, B)))) | ((~less_3(bitIndex2)) | (v129(constB118, bitIndex2) <=> v127(constB117, bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v129(constB118, B) <=> v127(constB117, B)))) | (~less_3(bitIndex2)) | (v129(constB118, bitIndex2) <=> v127(constB117, bitIndex2)))),
% 15.28/10.54 inference(rewrite,[status(thm)],[])).
% 15.28/10.54 tff(18041,plain,
% 15.28/10.54 ((~![B: $i] : ((~less_3(B)) | (v129(constB118, B) <=> v127(constB117, B)))) | ((~less_3(bitIndex2)) | (v129(constB118, bitIndex2) <=> v127(constB117, bitIndex2)))),
% 15.28/10.54 inference(quant_inst,[status(thm)],[])).
% 15.28/10.54 tff(18042,plain,
% 15.28/10.54 ((~![B: $i] : ((~less_3(B)) | (v129(constB118, B) <=> v127(constB117, B)))) | (~less_3(bitIndex2)) | (v129(constB118, bitIndex2) <=> v127(constB117, bitIndex2))),
% 15.28/10.54 inference(modus_ponens,[status(thm)],[18041, 18040])).
% 15.28/10.54 tff(18043,plain,
% 15.28/10.54 (v129(constB118, bitIndex2) <=> v127(constB117, bitIndex2)),
% 15.28/10.54 inference(unit_resolution,[status(thm)],[18042, 413, 18039])).
% 15.28/10.54 tff(18044,plain,
% 15.28/10.54 (((~![VarCurr: $i] : (v111(VarCurr) | ![B: $i] : ((~less_3(B)) | (v127(VarCurr, B) <=> v130(VarCurr, B))))) | (v111(constB117) | ![B: $i] : ((~less_3(B)) | (v127(constB117, B) <=> v130(constB117, B))))) <=> ((~![VarCurr: $i] : (v111(VarCurr) | ![B: $i] : ((~less_3(B)) | (v127(VarCurr, B) <=> v130(VarCurr, B))))) | v111(constB117) | ![B: $i] : ((~less_3(B)) | (v127(constB117, B) <=> v130(constB117, B))))),
% 15.28/10.54 inference(rewrite,[status(thm)],[])).
% 15.28/10.54 tff(18045,plain,
% 15.28/10.54 ((~![VarCurr: $i] : (v111(VarCurr) | ![B: $i] : ((~less_3(B)) | (v127(VarCurr, B) <=> v130(VarCurr, B))))) | (v111(constB117) | ![B: $i] : ((~less_3(B)) | (v127(constB117, B) <=> v130(constB117, B))))),
% 15.28/10.54 inference(quant_inst,[status(thm)],[])).
% 15.28/10.54 tff(18046,plain,
% 15.28/10.54 ((~![VarCurr: $i] : (v111(VarCurr) | ![B: $i] : ((~less_3(B)) | (v127(VarCurr, B) <=> v130(VarCurr, B))))) | v111(constB117) | ![B: $i] : ((~less_3(B)) | (v127(constB117, B) <=> v130(constB117, B)))),
% 15.28/10.54 inference(modus_ponens,[status(thm)],[18045, 18044])).
% 15.28/10.54 tff(18047,plain,
% 15.28/10.54 (![B: $i] : ((~less_3(B)) | (v127(constB117, B) <=> v130(constB117, B)))),
% 15.28/10.54 inference(unit_resolution,[status(thm)],[18046, 5177, 18008])).
% 15.28/10.54 tff(18048,plain,
% 15.28/10.54 (((~![B: $i] : ((~less_3(B)) | (v127(constB117, B) <=> v130(constB117, B)))) | ((~less_3(bitIndex2)) | (v127(constB117, bitIndex2) <=> v130(constB117, bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v127(constB117, B) <=> v130(constB117, B)))) | (~less_3(bitIndex2)) | (v127(constB117, bitIndex2) <=> v130(constB117, bitIndex2)))),
% 15.28/10.54 inference(rewrite,[status(thm)],[])).
% 15.28/10.54 tff(18049,plain,
% 15.28/10.54 ((~![B: $i] : ((~less_3(B)) | (v127(constB117, B) <=> v130(constB117, B)))) | ((~less_3(bitIndex2)) | (v127(constB117, bitIndex2) <=> v130(constB117, bitIndex2)))),
% 15.28/10.54 inference(quant_inst,[status(thm)],[])).
% 15.28/10.54 tff(18050,plain,
% 15.28/10.54 ((~![B: $i] : ((~less_3(B)) | (v127(constB117, B) <=> v130(constB117, B)))) | (~less_3(bitIndex2)) | (v127(constB117, bitIndex2) <=> v130(constB117, bitIndex2))),
% 15.28/10.54 inference(modus_ponens,[status(thm)],[18049, 18048])).
% 15.28/10.54 tff(18051,plain,
% 15.28/10.54 (v127(constB117, bitIndex2) <=> v130(constB117, bitIndex2)),
% 15.28/10.54 inference(unit_resolution,[status(thm)],[18050, 413, 18047])).
% 15.28/10.54 tff(18052,plain,
% 15.28/10.54 (((~![VarCurr: $i] : ((~v120(VarCurr)) | ![B: $i] : ((~less_3(B)) | (v130(VarCurr, B) <=> b010(B))))) | ((~v120(constB117)) | ![B: $i] : ((~less_3(B)) | (v130(constB117, B) <=> b010(B))))) <=> ((~![VarCurr: $i] : ((~v120(VarCurr)) | ![B: $i] : ((~less_3(B)) | (v130(VarCurr, B) <=> b010(B))))) | (~v120(constB117)) | ![B: $i] : ((~less_3(B)) | (v130(constB117, B) <=> b010(B))))),
% 15.28/10.54 inference(rewrite,[status(thm)],[])).
% 15.28/10.54 tff(18053,plain,
% 15.28/10.54 ((~![VarCurr: $i] : ((~v120(VarCurr)) | ![B: $i] : ((~less_3(B)) | (v130(VarCurr, B) <=> b010(B))))) | ((~v120(constB117)) | ![B: $i] : ((~less_3(B)) | (v130(constB117, B) <=> b010(B))))),
% 15.28/10.54 inference(quant_inst,[status(thm)],[])).
% 15.28/10.54 tff(18054,plain,
% 15.28/10.54 ((~![VarCurr: $i] : ((~v120(VarCurr)) | ![B: $i] : ((~less_3(B)) | (v130(VarCurr, B) <=> b010(B))))) | (~v120(constB117)) | ![B: $i] : ((~less_3(B)) | (v130(constB117, B) <=> b010(B)))),
% 15.28/10.54 inference(modus_ponens,[status(thm)],[18053, 18052])).
% 15.28/10.54 tff(18055,plain,
% 15.28/10.54 ((~v120(constB117)) | ![B: $i] : ((~less_3(B)) | (v130(constB117, B) <=> b010(B)))),
% 15.28/10.54 inference(unit_resolution,[status(thm)],[18054, 5797])).
% 15.28/10.54 tff(18056,plain,
% 15.28/10.54 (![B: $i] : ((~less_3(B)) | (v130(constB117, B) <=> b010(B)))),
% 15.28/10.54 inference(unit_resolution,[status(thm)],[18055, 17975])).
% 15.28/10.54 tff(18057,plain,
% 15.28/10.54 (((~![B: $i] : ((~less_3(B)) | (v130(constB117, B) <=> b010(B)))) | ((~less_3(bitIndex2)) | (v130(constB117, bitIndex2) <=> b010(bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v130(constB117, B) <=> b010(B)))) | (~less_3(bitIndex2)) | (v130(constB117, bitIndex2) <=> b010(bitIndex2)))),
% 15.28/10.54 inference(rewrite,[status(thm)],[])).
% 15.28/10.54 tff(18058,plain,
% 15.28/10.54 ((~![B: $i] : ((~less_3(B)) | (v130(constB117, B) <=> b010(B)))) | ((~less_3(bitIndex2)) | (v130(constB117, bitIndex2) <=> b010(bitIndex2)))),
% 15.28/10.54 inference(quant_inst,[status(thm)],[])).
% 15.28/10.54 tff(18059,plain,
% 15.28/10.54 ((~![B: $i] : ((~less_3(B)) | (v130(constB117, B) <=> b010(B)))) | (~less_3(bitIndex2)) | (v130(constB117, bitIndex2) <=> b010(bitIndex2))),
% 15.28/10.54 inference(modus_ponens,[status(thm)],[18058, 18057])).
% 15.28/10.54 tff(18060,plain,
% 15.28/10.54 (v130(constB117, bitIndex2) <=> b010(bitIndex2)),
% 15.28/10.54 inference(unit_resolution,[status(thm)],[18059, 413, 18056])).
% 15.28/10.54 tff(18061,plain,
% 15.28/10.54 ((~(v130(constB117, bitIndex2) <=> b010(bitIndex2))) | (~v130(constB117, bitIndex2)) | b010(bitIndex2)),
% 15.28/10.54 inference(tautology,[status(thm)],[])).
% 15.28/10.54 tff(18062,plain,
% 15.28/10.54 ((~(v130(constB117, bitIndex2) <=> b010(bitIndex2))) | (~v130(constB117, bitIndex2))),
% 15.28/10.54 inference(unit_resolution,[status(thm)],[18061, 5809])).
% 15.28/10.54 tff(18063,plain,
% 15.28/10.54 (~v130(constB117, bitIndex2)),
% 15.28/10.54 inference(unit_resolution,[status(thm)],[18062, 18060])).
% 15.28/10.54 tff(18064,plain,
% 15.28/10.54 ((~(v127(constB117, bitIndex2) <=> v130(constB117, bitIndex2))) | (~v127(constB117, bitIndex2)) | v130(constB117, bitIndex2)),
% 15.28/10.54 inference(tautology,[status(thm)],[])).
% 15.28/10.54 tff(18065,plain,
% 15.28/10.54 (~v127(constB117, bitIndex2)),
% 15.28/10.54 inference(unit_resolution,[status(thm)],[18064, 18063, 18051])).
% 15.28/10.54 tff(18066,plain,
% 15.28/10.54 ((~(v129(constB118, bitIndex2) <=> v127(constB117, bitIndex2))) | (~v129(constB118, bitIndex2)) | v127(constB117, bitIndex2)),
% 15.28/10.54 inference(tautology,[status(thm)],[])).
% 15.28/10.54 tff(18067,plain,
% 15.28/10.54 (~v129(constB118, bitIndex2)),
% 15.28/10.54 inference(unit_resolution,[status(thm)],[18066, 18065, 18043])).
% 15.28/10.54 tff(18068,plain,
% 15.28/10.54 ((~(v90(constB118, bitIndex2) <=> v129(constB118, bitIndex2))) | (~v90(constB118, bitIndex2)) | v129(constB118, bitIndex2)),
% 15.28/10.54 inference(tautology,[status(thm)],[])).
% 15.28/10.54 tff(18069,plain,
% 15.28/10.54 (~v90(constB118, bitIndex2)),
% 15.28/10.54 inference(unit_resolution,[status(thm)],[18068, 18067, 18035])).
% 15.28/10.54 tff(18070,plain,
% 15.28/10.54 ((~(v90(constB119, bitIndex2) <=> v90(constB118, bitIndex2))) | (~v90(constB119, bitIndex2)) | v90(constB118, bitIndex2)),
% 15.28/10.54 inference(tautology,[status(thm)],[])).
% 15.28/10.54 tff(18071,plain,
% 15.28/10.54 (~v90(constB119, bitIndex2)),
% 15.28/10.54 inference(unit_resolution,[status(thm)],[18070, 18069, 15039])).
% 15.28/10.54 tff(18072,plain,
% 15.28/10.54 (((~![B: $i] : ((~less_3(B)) | (v90(constB119, B) <=> v90(constB118, B)))) | ((~less_3(bitIndex0)) | (v90(constB119, bitIndex0) <=> v90(constB118, bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v90(constB119, B) <=> v90(constB118, B)))) | (~less_3(bitIndex0)) | (v90(constB119, bitIndex0) <=> v90(constB118, bitIndex0)))),
% 15.28/10.54 inference(rewrite,[status(thm)],[])).
% 15.28/10.54 tff(18073,plain,
% 15.28/10.54 ((~![B: $i] : ((~less_3(B)) | (v90(constB119, B) <=> v90(constB118, B)))) | ((~less_3(bitIndex0)) | (v90(constB119, bitIndex0) <=> v90(constB118, bitIndex0)))),
% 15.28/10.54 inference(quant_inst,[status(thm)],[])).
% 15.28/10.54 tff(18074,plain,
% 15.28/10.54 ((~![B: $i] : ((~less_3(B)) | (v90(constB119, B) <=> v90(constB118, B)))) | (~less_3(bitIndex0)) | (v90(constB119, bitIndex0) <=> v90(constB118, bitIndex0))),
% 15.28/10.54 inference(modus_ponens,[status(thm)],[18073, 18072])).
% 15.28/10.54 tff(18075,plain,
% 15.28/10.54 (v90(constB119, bitIndex0) <=> v90(constB118, bitIndex0)),
% 15.28/10.54 inference(unit_resolution,[status(thm)],[18074, 5004, 15035])).
% 15.28/10.54 tff(18076,plain,
% 15.28/10.54 (((~![B: $i] : ((~less_3(B)) | (v90(constB118, B) <=> v129(constB118, B)))) | ((~less_3(bitIndex0)) | (v90(constB118, bitIndex0) <=> v129(constB118, bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v90(constB118, B) <=> v129(constB118, B)))) | (~less_3(bitIndex0)) | (v90(constB118, bitIndex0) <=> v129(constB118, bitIndex0)))),
% 15.28/10.54 inference(rewrite,[status(thm)],[])).
% 15.28/10.54 tff(18077,plain,
% 15.28/10.54 ((~![B: $i] : ((~less_3(B)) | (v90(constB118, B) <=> v129(constB118, B)))) | ((~less_3(bitIndex0)) | (v90(constB118, bitIndex0) <=> v129(constB118, bitIndex0)))),
% 15.28/10.54 inference(quant_inst,[status(thm)],[])).
% 15.28/10.54 tff(18078,plain,
% 15.28/10.54 ((~![B: $i] : ((~less_3(B)) | (v90(constB118, B) <=> v129(constB118, B)))) | (~less_3(bitIndex0)) | (v90(constB118, bitIndex0) <=> v129(constB118, bitIndex0))),
% 15.28/10.54 inference(modus_ponens,[status(thm)],[18077, 18076])).
% 15.28/10.54 tff(18079,plain,
% 15.28/10.54 (v90(constB118, bitIndex0) <=> v129(constB118, bitIndex0)),
% 15.28/10.54 inference(unit_resolution,[status(thm)],[18078, 5004, 18031])).
% 15.28/10.54 tff(18080,plain,
% 15.28/10.54 (((~![B: $i] : ((~less_3(B)) | (v129(constB118, B) <=> v127(constB117, B)))) | ((~less_3(bitIndex0)) | (v129(constB118, bitIndex0) <=> v127(constB117, bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v129(constB118, B) <=> v127(constB117, B)))) | (~less_3(bitIndex0)) | (v129(constB118, bitIndex0) <=> v127(constB117, bitIndex0)))),
% 15.28/10.54 inference(rewrite,[status(thm)],[])).
% 15.28/10.54 tff(18081,plain,
% 15.28/10.54 ((~![B: $i] : ((~less_3(B)) | (v129(constB118, B) <=> v127(constB117, B)))) | ((~less_3(bitIndex0)) | (v129(constB118, bitIndex0) <=> v127(constB117, bitIndex0)))),
% 15.28/10.54 inference(quant_inst,[status(thm)],[])).
% 15.28/10.54 tff(18082,plain,
% 15.28/10.54 ((~![B: $i] : ((~less_3(B)) | (v129(constB118, B) <=> v127(constB117, B)))) | (~less_3(bitIndex0)) | (v129(constB118, bitIndex0) <=> v127(constB117, bitIndex0))),
% 15.28/10.54 inference(modus_ponens,[status(thm)],[18081, 18080])).
% 15.28/10.54 tff(18083,plain,
% 15.28/10.54 (v129(constB118, bitIndex0) <=> v127(constB117, bitIndex0)),
% 15.28/10.54 inference(unit_resolution,[status(thm)],[18082, 5004, 18039])).
% 15.28/10.54 tff(18084,plain,
% 15.28/10.54 (((~![B: $i] : ((~less_3(B)) | (v127(constB117, B) <=> v130(constB117, B)))) | ((~less_3(bitIndex0)) | (v127(constB117, bitIndex0) <=> v130(constB117, bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v127(constB117, B) <=> v130(constB117, B)))) | (~less_3(bitIndex0)) | (v127(constB117, bitIndex0) <=> v130(constB117, bitIndex0)))),
% 15.28/10.54 inference(rewrite,[status(thm)],[])).
% 15.28/10.54 tff(18085,plain,
% 15.28/10.54 ((~![B: $i] : ((~less_3(B)) | (v127(constB117, B) <=> v130(constB117, B)))) | ((~less_3(bitIndex0)) | (v127(constB117, bitIndex0) <=> v130(constB117, bitIndex0)))),
% 15.28/10.54 inference(quant_inst,[status(thm)],[])).
% 15.28/10.54 tff(18086,plain,
% 15.28/10.54 ((~![B: $i] : ((~less_3(B)) | (v127(constB117, B) <=> v130(constB117, B)))) | (~less_3(bitIndex0)) | (v127(constB117, bitIndex0) <=> v130(constB117, bitIndex0))),
% 15.28/10.54 inference(modus_ponens,[status(thm)],[18085, 18084])).
% 15.28/10.54 tff(18087,plain,
% 15.28/10.54 (v127(constB117, bitIndex0) <=> v130(constB117, bitIndex0)),
% 15.28/10.54 inference(unit_resolution,[status(thm)],[18086, 5004, 18047])).
% 15.28/10.54 tff(18088,plain,
% 15.28/10.54 (((~![B: $i] : ((~less_3(B)) | (v130(constB117, B) <=> b010(B)))) | ((~less_3(bitIndex0)) | (v130(constB117, bitIndex0) <=> b010(bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v130(constB117, B) <=> b010(B)))) | (~less_3(bitIndex0)) | (v130(constB117, bitIndex0) <=> b010(bitIndex0)))),
% 15.28/10.54 inference(rewrite,[status(thm)],[])).
% 15.28/10.54 tff(18089,plain,
% 15.28/10.54 ((~![B: $i] : ((~less_3(B)) | (v130(constB117, B) <=> b010(B)))) | ((~less_3(bitIndex0)) | (v130(constB117, bitIndex0) <=> b010(bitIndex0)))),
% 15.28/10.54 inference(quant_inst,[status(thm)],[])).
% 15.28/10.54 tff(18090,plain,
% 15.28/10.54 ((~![B: $i] : ((~less_3(B)) | (v130(constB117, B) <=> b010(B)))) | (~less_3(bitIndex0)) | (v130(constB117, bitIndex0) <=> b010(bitIndex0))),
% 15.28/10.54 inference(modus_ponens,[status(thm)],[18089, 18088])).
% 15.28/10.54 tff(18091,plain,
% 15.28/10.54 (v130(constB117, bitIndex0) <=> b010(bitIndex0)),
% 15.28/10.54 inference(unit_resolution,[status(thm)],[18090, 5004, 18056])).
% 15.28/10.54 tff(18092,plain,
% 15.28/10.54 ((~(v130(constB117, bitIndex0) <=> b010(bitIndex0))) | (~v130(constB117, bitIndex0)) | b010(bitIndex0)),
% 15.28/10.54 inference(tautology,[status(thm)],[])).
% 15.28/10.54 tff(18093,plain,
% 15.28/10.54 ((~(v130(constB117, bitIndex0) <=> b010(bitIndex0))) | (~v130(constB117, bitIndex0))),
% 15.28/10.54 inference(unit_resolution,[status(thm)],[18092, 5843])).
% 15.28/10.54 tff(18094,plain,
% 15.28/10.54 (~v130(constB117, bitIndex0)),
% 15.28/10.54 inference(unit_resolution,[status(thm)],[18093, 18091])).
% 15.28/10.54 tff(18095,plain,
% 15.28/10.54 ((~(v127(constB117, bitIndex0) <=> v130(constB117, bitIndex0))) | (~v127(constB117, bitIndex0)) | v130(constB117, bitIndex0)),
% 15.28/10.54 inference(tautology,[status(thm)],[])).
% 15.28/10.54 tff(18096,plain,
% 15.28/10.54 (~v127(constB117, bitIndex0)),
% 15.28/10.54 inference(unit_resolution,[status(thm)],[18095, 18094, 18087])).
% 15.28/10.54 tff(18097,plain,
% 15.28/10.54 ((~(v129(constB118, bitIndex0) <=> v127(constB117, bitIndex0))) | (~v129(constB118, bitIndex0)) | v127(constB117, bitIndex0)),
% 15.28/10.54 inference(tautology,[status(thm)],[])).
% 15.28/10.54 tff(18098,plain,
% 15.28/10.54 (~v129(constB118, bitIndex0)),
% 15.28/10.54 inference(unit_resolution,[status(thm)],[18097, 18096, 18083])).
% 15.28/10.54 tff(18099,plain,
% 15.28/10.54 ((~(v90(constB118, bitIndex0) <=> v129(constB118, bitIndex0))) | (~v90(constB118, bitIndex0)) | v129(constB118, bitIndex0)),
% 15.28/10.54 inference(tautology,[status(thm)],[])).
% 15.28/10.54 tff(18100,plain,
% 15.28/10.54 (~v90(constB118, bitIndex0)),
% 15.28/10.54 inference(unit_resolution,[status(thm)],[18099, 18098, 18079])).
% 15.28/10.54 tff(18101,plain,
% 15.28/10.54 ((~(v90(constB119, bitIndex0) <=> v90(constB118, bitIndex0))) | (~v90(constB119, bitIndex0)) | v90(constB118, bitIndex0)),
% 15.28/10.54 inference(tautology,[status(thm)],[])).
% 15.28/10.54 tff(18102,plain,
% 15.28/10.54 (~v90(constB119, bitIndex0)),
% 15.28/10.54 inference(unit_resolution,[status(thm)],[18101, 18100, 18075])).
% 15.28/10.54 tff(18103,plain,
% 15.28/10.54 (((~![B: $i] : ((~less_3(B)) | (v90(constB119, B) <=> v90(constB118, B)))) | ((~less_3(bitIndex1)) | (v90(constB119, bitIndex1) <=> v90(constB118, bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v90(constB119, B) <=> v90(constB118, B)))) | (~less_3(bitIndex1)) | (v90(constB119, bitIndex1) <=> v90(constB118, bitIndex1)))),
% 15.28/10.54 inference(rewrite,[status(thm)],[])).
% 15.28/10.54 tff(18104,plain,
% 15.28/10.54 ((~![B: $i] : ((~less_3(B)) | (v90(constB119, B) <=> v90(constB118, B)))) | ((~less_3(bitIndex1)) | (v90(constB119, bitIndex1) <=> v90(constB118, bitIndex1)))),
% 15.28/10.54 inference(quant_inst,[status(thm)],[])).
% 15.28/10.54 tff(18105,plain,
% 15.28/10.54 ((~![B: $i] : ((~less_3(B)) | (v90(constB119, B) <=> v90(constB118, B)))) | (~less_3(bitIndex1)) | (v90(constB119, bitIndex1) <=> v90(constB118, bitIndex1))),
% 15.28/10.54 inference(modus_ponens,[status(thm)],[18104, 18103])).
% 15.28/10.54 tff(18106,plain,
% 15.28/10.54 (v90(constB119, bitIndex1) <=> v90(constB118, bitIndex1)),
% 15.28/10.54 inference(unit_resolution,[status(thm)],[18105, 5017, 15035])).
% 15.28/10.54 tff(18107,plain,
% 15.28/10.54 (((~![B: $i] : ((~less_3(B)) | (v90(constB118, B) <=> v129(constB118, B)))) | ((~less_3(bitIndex1)) | (v90(constB118, bitIndex1) <=> v129(constB118, bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v90(constB118, B) <=> v129(constB118, B)))) | (~less_3(bitIndex1)) | (v90(constB118, bitIndex1) <=> v129(constB118, bitIndex1)))),
% 15.28/10.54 inference(rewrite,[status(thm)],[])).
% 15.28/10.54 tff(18108,plain,
% 15.28/10.54 ((~![B: $i] : ((~less_3(B)) | (v90(constB118, B) <=> v129(constB118, B)))) | ((~less_3(bitIndex1)) | (v90(constB118, bitIndex1) <=> v129(constB118, bitIndex1)))),
% 15.28/10.54 inference(quant_inst,[status(thm)],[])).
% 15.28/10.54 tff(18109,plain,
% 15.28/10.54 ((~![B: $i] : ((~less_3(B)) | (v90(constB118, B) <=> v129(constB118, B)))) | (~less_3(bitIndex1)) | (v90(constB118, bitIndex1) <=> v129(constB118, bitIndex1))),
% 15.28/10.54 inference(modus_ponens,[status(thm)],[18108, 18107])).
% 15.28/10.54 tff(18110,plain,
% 15.28/10.54 (v90(constB118, bitIndex1) <=> v129(constB118, bitIndex1)),
% 15.28/10.54 inference(unit_resolution,[status(thm)],[18109, 5017, 18031])).
% 15.28/10.54 tff(18111,plain,
% 15.28/10.54 (((~![B: $i] : ((~less_3(B)) | (v129(constB118, B) <=> v127(constB117, B)))) | ((~less_3(bitIndex1)) | (v129(constB118, bitIndex1) <=> v127(constB117, bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v129(constB118, B) <=> v127(constB117, B)))) | (~less_3(bitIndex1)) | (v129(constB118, bitIndex1) <=> v127(constB117, bitIndex1)))),
% 15.28/10.54 inference(rewrite,[status(thm)],[])).
% 15.28/10.54 tff(18112,plain,
% 15.28/10.54 ((~![B: $i] : ((~less_3(B)) | (v129(constB118, B) <=> v127(constB117, B)))) | ((~less_3(bitIndex1)) | (v129(constB118, bitIndex1) <=> v127(constB117, bitIndex1)))),
% 15.28/10.54 inference(quant_inst,[status(thm)],[])).
% 15.28/10.54 tff(18113,plain,
% 15.28/10.54 ((~![B: $i] : ((~less_3(B)) | (v129(constB118, B) <=> v127(constB117, B)))) | (~less_3(bitIndex1)) | (v129(constB118, bitIndex1) <=> v127(constB117, bitIndex1))),
% 15.28/10.54 inference(modus_ponens,[status(thm)],[18112, 18111])).
% 15.28/10.54 tff(18114,plain,
% 15.28/10.54 (v129(constB118, bitIndex1) <=> v127(constB117, bitIndex1)),
% 15.28/10.54 inference(unit_resolution,[status(thm)],[18113, 5017, 18039])).
% 15.28/10.54 tff(18115,plain,
% 15.28/10.54 (((~![B: $i] : ((~less_3(B)) | (v127(constB117, B) <=> v130(constB117, B)))) | ((~less_3(bitIndex1)) | (v127(constB117, bitIndex1) <=> v130(constB117, bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v127(constB117, B) <=> v130(constB117, B)))) | (~less_3(bitIndex1)) | (v127(constB117, bitIndex1) <=> v130(constB117, bitIndex1)))),
% 15.28/10.54 inference(rewrite,[status(thm)],[])).
% 15.28/10.54 tff(18116,plain,
% 15.28/10.54 ((~![B: $i] : ((~less_3(B)) | (v127(constB117, B) <=> v130(constB117, B)))) | ((~less_3(bitIndex1)) | (v127(constB117, bitIndex1) <=> v130(constB117, bitIndex1)))),
% 15.28/10.54 inference(quant_inst,[status(thm)],[])).
% 15.28/10.54 tff(18117,plain,
% 15.28/10.54 ((~![B: $i] : ((~less_3(B)) | (v127(constB117, B) <=> v130(constB117, B)))) | (~less_3(bitIndex1)) | (v127(constB117, bitIndex1) <=> v130(constB117, bitIndex1))),
% 15.28/10.54 inference(modus_ponens,[status(thm)],[18116, 18115])).
% 15.28/10.54 tff(18118,plain,
% 15.28/10.54 (v127(constB117, bitIndex1) <=> v130(constB117, bitIndex1)),
% 15.28/10.54 inference(unit_resolution,[status(thm)],[18117, 5017, 18047])).
% 15.28/10.54 tff(18119,plain,
% 15.28/10.54 (((~![B: $i] : ((~less_3(B)) | (v130(constB117, B) <=> b010(B)))) | ((~less_3(bitIndex1)) | (v130(constB117, bitIndex1) <=> b010(bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v130(constB117, B) <=> b010(B)))) | (~less_3(bitIndex1)) | (v130(constB117, bitIndex1) <=> b010(bitIndex1)))),
% 15.28/10.54 inference(rewrite,[status(thm)],[])).
% 15.28/10.54 tff(18120,plain,
% 15.28/10.54 ((~![B: $i] : ((~less_3(B)) | (v130(constB117, B) <=> b010(B)))) | ((~less_3(bitIndex1)) | (v130(constB117, bitIndex1) <=> b010(bitIndex1)))),
% 15.28/10.54 inference(quant_inst,[status(thm)],[])).
% 15.28/10.54 tff(18121,plain,
% 15.28/10.54 ((~![B: $i] : ((~less_3(B)) | (v130(constB117, B) <=> b010(B)))) | (~less_3(bitIndex1)) | (v130(constB117, bitIndex1) <=> b010(bitIndex1))),
% 15.28/10.54 inference(modus_ponens,[status(thm)],[18120, 18119])).
% 15.28/10.54 tff(18122,plain,
% 15.28/10.54 (v130(constB117, bitIndex1) <=> b010(bitIndex1)),
% 15.28/10.54 inference(unit_resolution,[status(thm)],[18121, 5017, 18056])).
% 15.28/10.54 tff(18123,plain,
% 15.28/10.54 ((~(v130(constB117, bitIndex1) <=> b010(bitIndex1))) | v130(constB117, bitIndex1) | (~b010(bitIndex1))),
% 15.28/10.54 inference(tautology,[status(thm)],[])).
% 15.28/10.54 tff(18124,plain,
% 15.28/10.54 ((~(v130(constB117, bitIndex1) <=> b010(bitIndex1))) | v130(constB117, bitIndex1)),
% 15.28/10.54 inference(unit_resolution,[status(thm)],[18123, 5877])).
% 15.28/10.54 tff(18125,plain,
% 15.28/10.54 (v130(constB117, bitIndex1)),
% 15.28/10.54 inference(unit_resolution,[status(thm)],[18124, 18122])).
% 15.28/10.54 tff(18126,plain,
% 15.28/10.54 ((~(v127(constB117, bitIndex1) <=> v130(constB117, bitIndex1))) | v127(constB117, bitIndex1) | (~v130(constB117, bitIndex1))),
% 15.28/10.54 inference(tautology,[status(thm)],[])).
% 15.28/10.54 tff(18127,plain,
% 15.28/10.54 (v127(constB117, bitIndex1)),
% 15.28/10.54 inference(unit_resolution,[status(thm)],[18126, 18125, 18118])).
% 15.28/10.54 tff(18128,plain,
% 15.28/10.54 ((~(v129(constB118, bitIndex1) <=> v127(constB117, bitIndex1))) | v129(constB118, bitIndex1) | (~v127(constB117, bitIndex1))),
% 15.28/10.54 inference(tautology,[status(thm)],[])).
% 15.28/10.54 tff(18129,plain,
% 15.28/10.54 (v129(constB118, bitIndex1)),
% 15.28/10.54 inference(unit_resolution,[status(thm)],[18128, 18127, 18114])).
% 15.28/10.54 tff(18130,plain,
% 15.28/10.54 ((~(v90(constB118, bitIndex1) <=> v129(constB118, bitIndex1))) | v90(constB118, bitIndex1) | (~v129(constB118, bitIndex1))),
% 15.28/10.54 inference(tautology,[status(thm)],[])).
% 15.28/10.54 tff(18131,plain,
% 15.28/10.54 (v90(constB118, bitIndex1)),
% 15.28/10.54 inference(unit_resolution,[status(thm)],[18130, 18129, 18110])).
% 15.28/10.54 tff(18132,plain,
% 15.28/10.54 ((~(v90(constB119, bitIndex1) <=> v90(constB118, bitIndex1))) | v90(constB119, bitIndex1) | (~v90(constB118, bitIndex1))),
% 15.28/10.54 inference(tautology,[status(thm)],[])).
% 15.28/10.54 tff(18133,plain,
% 15.28/10.54 (v90(constB119, bitIndex1)),
% 15.28/10.54 inference(unit_resolution,[status(thm)],[18132, 18131, 18106])).
% 15.28/10.54 tff(18134,plain,
% 15.28/10.54 ((~(v90(constB119, bitIndex2) | (~v90(constB119, bitIndex1)) | v90(constB119, bitIndex0))) | v90(constB119, bitIndex2) | (~v90(constB119, bitIndex1)) | v90(constB119, bitIndex0)),
% 15.28/10.54 inference(tautology,[status(thm)],[])).
% 15.28/10.54 tff(18135,plain,
% 15.28/10.54 (~(v90(constB119, bitIndex2) | (~v90(constB119, bitIndex1)) | v90(constB119, bitIndex0))),
% 15.28/10.54 inference(unit_resolution,[status(thm)],[18134, 18133, 18102, 18071])).
% 15.28/10.54 tff(18136,plain,
% 15.28/10.54 ((~(v121(constB119) <=> (~(v90(constB119, bitIndex2) | (~v90(constB119, bitIndex1)) | v90(constB119, bitIndex0))))) | v121(constB119) | (v90(constB119, bitIndex2) | (~v90(constB119, bitIndex1)) | v90(constB119, bitIndex0))),
% 15.28/10.54 inference(tautology,[status(thm)],[])).
% 15.28/10.54 tff(18137,plain,
% 15.28/10.54 (v121(constB119)),
% 15.28/10.54 inference(unit_resolution,[status(thm)],[18136, 18135, 15007])).
% 15.28/10.54 tff(18138,plain,
% 15.28/10.54 ((v118(constB119) | v121(constB119)) | (~v121(constB119))),
% 15.28/10.54 inference(tautology,[status(thm)],[])).
% 15.28/10.54 tff(18139,plain,
% 15.28/10.54 (v118(constB119) | v121(constB119)),
% 15.28/10.54 inference(unit_resolution,[status(thm)],[18138, 18137])).
% 15.28/10.54 tff(18140,plain,
% 15.28/10.54 ((~(v117(constB119) <=> (v118(constB119) | v121(constB119)))) | v117(constB119) | (~(v118(constB119) | v121(constB119)))),
% 15.28/10.54 inference(tautology,[status(thm)],[])).
% 15.28/10.54 tff(18141,plain,
% 15.28/10.54 (v117(constB119)),
% 15.28/10.54 inference(unit_resolution,[status(thm)],[18140, 18139, 15000])).
% 15.28/10.54 tff(18142,plain,
% 15.28/10.54 ((v117(constB119) | v122(constB119)) | (~v117(constB119))),
% 15.28/10.54 inference(tautology,[status(thm)],[])).
% 15.28/10.54 tff(18143,plain,
% 15.28/10.54 (v117(constB119) | v122(constB119)),
% 15.28/10.54 inference(unit_resolution,[status(thm)],[18142, 18141])).
% 15.28/10.54 tff(18144,plain,
% 15.28/10.54 ((~(v116(constB119) <=> (v117(constB119) | v122(constB119)))) | v116(constB119) | (~(v117(constB119) | v122(constB119)))),
% 15.28/10.54 inference(tautology,[status(thm)],[])).
% 15.28/10.54 tff(18145,plain,
% 15.28/10.54 (v116(constB119)),
% 15.28/10.54 inference(unit_resolution,[status(thm)],[18144, 18143, 14998])).
% 15.28/10.54 tff(18146,plain,
% 15.28/10.54 ((v116(constB119) | v123(constB119)) | (~v116(constB119))),
% 15.28/10.54 inference(tautology,[status(thm)],[])).
% 15.28/10.54 tff(18147,plain,
% 15.28/10.54 (v116(constB119) | v123(constB119)),
% 15.28/10.54 inference(unit_resolution,[status(thm)],[18146, 18145])).
% 15.28/10.54 tff(18148,plain,
% 15.28/10.54 ((~(v115(constB119) <=> (v116(constB119) | v123(constB119)))) | v115(constB119) | (~(v116(constB119) | v123(constB119)))),
% 15.28/10.54 inference(tautology,[status(thm)],[])).
% 15.28/10.54 tff(18149,plain,
% 15.28/10.54 (v115(constB119)),
% 15.28/10.54 inference(unit_resolution,[status(thm)],[18148, 18147, 14996])).
% 15.28/10.54 tff(18150,plain,
% 15.28/10.54 ((v115(constB119) | v124(constB119)) | (~v115(constB119))),
% 15.28/10.54 inference(tautology,[status(thm)],[])).
% 15.28/10.54 tff(18151,plain,
% 15.28/10.54 (v115(constB119) | v124(constB119)),
% 15.28/10.54 inference(unit_resolution,[status(thm)],[18150, 18149])).
% 15.28/10.54 tff(18152,plain,
% 15.28/10.54 ((~(v114(constB119) <=> (v115(constB119) | v124(constB119)))) | v114(constB119) | (~(v115(constB119) | v124(constB119)))),
% 15.28/10.54 inference(tautology,[status(thm)],[])).
% 15.28/10.54 tff(18153,plain,
% 15.28/10.54 (v114(constB119)),
% 15.28/10.54 inference(unit_resolution,[status(thm)],[18152, 18151, 14994])).
% 15.28/10.54 tff(18154,plain,
% 15.28/10.54 ((v114(constB119) | v125(constB119)) | (~v114(constB119))),
% 15.28/10.54 inference(tautology,[status(thm)],[])).
% 15.28/10.54 tff(18155,plain,
% 15.28/10.54 (v114(constB119) | v125(constB119)),
% 15.28/10.54 inference(unit_resolution,[status(thm)],[18154, 18153])).
% 15.28/10.54 tff(18156,plain,
% 15.28/10.54 ((~(v113(constB119) <=> (v114(constB119) | v125(constB119)))) | v113(constB119) | (~(v114(constB119) | v125(constB119)))),
% 15.28/10.54 inference(tautology,[status(thm)],[])).
% 15.28/10.54 tff(18157,plain,
% 15.28/10.54 (v113(constB119)),
% 15.28/10.54 inference(unit_resolution,[status(thm)],[18156, 18155, 14992])).
% 15.28/10.54 tff(18158,plain,
% 15.28/10.54 ((~![VarCurr: $i] : ((~v126(VarCurr)) <=> v111(VarCurr))) | ((~v126(constB119)) <=> v111(constB119))),
% 15.28/10.54 inference(quant_inst,[status(thm)],[])).
% 15.28/10.54 tff(18159,plain,
% 15.28/10.54 ((~v126(constB119)) <=> v111(constB119)),
% 15.28/10.54 inference(unit_resolution,[status(thm)],[18158, 5074])).
% 15.28/10.54 tff(18160,plain,
% 15.28/10.54 ((~![VarCurr: $i] : (v111(VarCurr) <=> v26(VarCurr))) | (v111(constB119) <=> v26(constB119))),
% 15.28/10.54 inference(quant_inst,[status(thm)],[])).
% 15.28/10.54 tff(18161,plain,
% 15.28/10.54 (v111(constB119) <=> v26(constB119)),
% 15.28/10.54 inference(unit_resolution,[status(thm)],[18160, 5086])).
% 15.28/10.54 tff(18162,plain,
% 15.28/10.54 ((~![VarCurr: $i] : (~v26(VarCurr))) | (~v26(constB119))),
% 15.28/10.54 inference(quant_inst,[status(thm)],[])).
% 15.28/10.54 tff(18163,plain,
% 15.28/10.54 (~v26(constB119)),
% 15.28/10.54 inference(unit_resolution,[status(thm)],[18162, 5098])).
% 15.28/10.54 tff(18164,plain,
% 15.28/10.54 ((~(v111(constB119) <=> v26(constB119))) | (~v111(constB119)) | v26(constB119)),
% 15.28/10.54 inference(tautology,[status(thm)],[])).
% 15.28/10.54 tff(18165,plain,
% 15.28/10.54 ((~(v111(constB119) <=> v26(constB119))) | (~v111(constB119))),
% 15.28/10.54 inference(unit_resolution,[status(thm)],[18164, 18163])).
% 15.28/10.54 tff(18166,plain,
% 15.28/10.54 (~v111(constB119)),
% 15.28/10.54 inference(unit_resolution,[status(thm)],[18165, 18161])).
% 15.28/10.54 tff(18167,plain,
% 15.28/10.54 ((~((~v126(constB119)) <=> v111(constB119))) | v126(constB119) | v111(constB119)),
% 15.28/10.54 inference(tautology,[status(thm)],[])).
% 15.28/10.54 tff(18168,plain,
% 15.28/10.54 ((~((~v126(constB119)) <=> v111(constB119))) | v126(constB119)),
% 15.28/10.54 inference(unit_resolution,[status(thm)],[18167, 18166])).
% 15.28/10.54 tff(18169,plain,
% 15.28/10.54 (v126(constB119)),
% 15.28/10.54 inference(unit_resolution,[status(thm)],[18168, 18159])).
% 15.28/10.54 tff(18170,plain,
% 15.28/10.54 ((~((~v113(constB119)) | (~v126(constB119)))) | (~v113(constB119)) | (~v126(constB119))),
% 15.28/10.54 inference(tautology,[status(thm)],[])).
% 15.28/10.54 tff(18171,plain,
% 15.28/10.54 ((~((~v113(constB119)) | (~v126(constB119)))) | (~v113(constB119))),
% 15.28/10.54 inference(unit_resolution,[status(thm)],[18170, 18169])).
% 15.28/10.54 tff(18172,plain,
% 15.28/10.54 (~((~v113(constB119)) | (~v126(constB119)))),
% 15.28/10.54 inference(unit_resolution,[status(thm)],[18171, 18157])).
% 15.28/10.54 tff(18173,plain,
% 15.28/10.54 ((~(v112(constB119) <=> (~((~v113(constB119)) | (~v126(constB119)))))) | v112(constB119) | ((~v113(constB119)) | (~v126(constB119)))),
% 15.28/10.55 inference(tautology,[status(thm)],[])).
% 15.28/10.55 tff(18174,plain,
% 15.28/10.55 (v112(constB119)),
% 15.28/10.55 inference(unit_resolution,[status(thm)],[18173, 18172, 14990])).
% 15.28/10.55 tff(18175,plain,
% 15.28/10.55 ((v111(constB119) | v112(constB119)) | (~v112(constB119))),
% 15.28/10.55 inference(tautology,[status(thm)],[])).
% 15.28/10.55 tff(18176,plain,
% 15.28/10.55 (v111(constB119) | v112(constB119)),
% 15.28/10.55 inference(unit_resolution,[status(thm)],[18175, 18174])).
% 15.28/10.55 tff(18177,plain,
% 15.28/10.55 ((~(v108(constB119) <=> (v111(constB119) | v112(constB119)))) | v108(constB119) | (~(v111(constB119) | v112(constB119)))),
% 15.28/10.55 inference(tautology,[status(thm)],[])).
% 15.28/10.55 tff(18178,plain,
% 15.28/10.55 (v108(constB119)),
% 15.28/10.55 inference(unit_resolution,[status(thm)],[18177, 18176, 14988])).
% 15.28/10.55 tff(18179,plain,
% 15.28/10.55 ((~(v110(constB120) <=> v108(constB119))) | v110(constB120) | (~v108(constB119))),
% 15.28/10.55 inference(tautology,[status(thm)],[])).
% 15.28/10.55 tff(18180,plain,
% 15.28/10.55 (v110(constB120)),
% 15.28/10.55 inference(unit_resolution,[status(thm)],[18179, 18178, 14986])).
% 15.28/10.55 tff(18181,plain,
% 15.28/10.55 ((~((~v101(constB120)) | (~v110(constB120)))) | (~v101(constB120)) | (~v110(constB120))),
% 15.28/10.55 inference(tautology,[status(thm)],[])).
% 15.28/10.55 tff(18182,plain,
% 15.28/10.55 (~((~v101(constB120)) | (~v110(constB120)))),
% 15.28/10.55 inference(unit_resolution,[status(thm)],[18181, 18180, 14982])).
% 15.28/10.55 tff(18183,plain,
% 15.28/10.55 ((~(v100(constB120) <=> (~((~v101(constB120)) | (~v110(constB120)))))) | v100(constB120) | ((~v101(constB120)) | (~v110(constB120)))),
% 15.28/10.55 inference(tautology,[status(thm)],[])).
% 15.28/10.55 tff(18184,plain,
% 15.28/10.55 (v100(constB120)),
% 15.28/10.55 inference(unit_resolution,[status(thm)],[18183, 18182, 14951])).
% 15.28/10.55 tff(18185,plain,
% 15.28/10.55 (((~![VarNext: $i] : ((~v100(VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v129(VarNext, B))))) | ((~v100(constB120)) | ![B: $i] : ((~less_3(B)) | (v90(constB120, B) <=> v129(constB120, B))))) <=> ((~![VarNext: $i] : ((~v100(VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v129(VarNext, B))))) | (~v100(constB120)) | ![B: $i] : ((~less_3(B)) | (v90(constB120, B) <=> v129(constB120, B))))),
% 15.28/10.55 inference(rewrite,[status(thm)],[])).
% 15.28/10.55 tff(18186,plain,
% 15.28/10.55 ((~![VarNext: $i] : ((~v100(VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v129(VarNext, B))))) | ((~v100(constB120)) | ![B: $i] : ((~less_3(B)) | (v90(constB120, B) <=> v129(constB120, B))))),
% 15.28/10.55 inference(quant_inst,[status(thm)],[])).
% 15.28/10.55 tff(18187,plain,
% 15.28/10.55 ((~![VarNext: $i] : ((~v100(VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v129(VarNext, B))))) | (~v100(constB120)) | ![B: $i] : ((~less_3(B)) | (v90(constB120, B) <=> v129(constB120, B)))),
% 15.28/10.55 inference(modus_ponens,[status(thm)],[18186, 18185])).
% 15.28/10.55 tff(18188,plain,
% 15.28/10.55 ((~v100(constB120)) | ![B: $i] : ((~less_3(B)) | (v90(constB120, B) <=> v129(constB120, B)))),
% 15.28/10.55 inference(unit_resolution,[status(thm)],[18187, 5134])).
% 15.28/10.55 tff(18189,plain,
% 15.28/10.55 (![B: $i] : ((~less_3(B)) | (v90(constB120, B) <=> v129(constB120, B)))),
% 15.28/10.55 inference(unit_resolution,[status(thm)],[18188, 18184])).
% 15.28/10.55 tff(18190,plain,
% 15.28/10.55 (((~![B: $i] : ((~less_3(B)) | (v90(constB120, B) <=> v129(constB120, B)))) | ((~less_3(bitIndex2)) | (v90(constB120, bitIndex2) <=> v129(constB120, bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v90(constB120, B) <=> v129(constB120, B)))) | (~less_3(bitIndex2)) | (v90(constB120, bitIndex2) <=> v129(constB120, bitIndex2)))),
% 15.28/10.55 inference(rewrite,[status(thm)],[])).
% 15.28/10.55 tff(18191,plain,
% 15.28/10.55 ((~![B: $i] : ((~less_3(B)) | (v90(constB120, B) <=> v129(constB120, B)))) | ((~less_3(bitIndex2)) | (v90(constB120, bitIndex2) <=> v129(constB120, bitIndex2)))),
% 15.28/10.55 inference(quant_inst,[status(thm)],[])).
% 15.28/10.55 tff(18192,plain,
% 15.28/10.55 ((~![B: $i] : ((~less_3(B)) | (v90(constB120, B) <=> v129(constB120, B)))) | (~less_3(bitIndex2)) | (v90(constB120, bitIndex2) <=> v129(constB120, bitIndex2))),
% 15.28/10.55 inference(modus_ponens,[status(thm)],[18191, 18190])).
% 15.28/10.55 tff(18193,plain,
% 15.28/10.55 (v90(constB120, bitIndex2) <=> v129(constB120, bitIndex2)),
% 15.28/10.55 inference(unit_resolution,[status(thm)],[18192, 413, 18189])).
% 15.28/10.55 tff(18194,plain,
% 15.28/10.55 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v129(VarNext, B) <=> v127(VarCurr, B))))) | ((~nextState(constB119, constB120)) | ![B: $i] : ((~less_3(B)) | (v129(constB120, B) <=> v127(constB119, B))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v129(VarNext, B) <=> v127(VarCurr, B))))) | (~nextState(constB119, constB120)) | ![B: $i] : ((~less_3(B)) | (v129(constB120, B) <=> v127(constB119, B))))),
% 15.28/10.55 inference(rewrite,[status(thm)],[])).
% 15.28/10.55 tff(18195,plain,
% 15.28/10.55 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v129(VarNext, B) <=> v127(VarCurr, B))))) | ((~nextState(constB119, constB120)) | ![B: $i] : ((~less_3(B)) | (v129(constB120, B) <=> v127(constB119, B))))),
% 15.28/10.55 inference(quant_inst,[status(thm)],[])).
% 15.28/10.55 tff(18196,plain,
% 15.28/10.55 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v129(VarNext, B) <=> v127(VarCurr, B))))) | (~nextState(constB119, constB120)) | ![B: $i] : ((~less_3(B)) | (v129(constB120, B) <=> v127(constB119, B)))),
% 15.28/10.55 inference(modus_ponens,[status(thm)],[18195, 18194])).
% 15.28/10.55 tff(18197,plain,
% 15.28/10.55 (![B: $i] : ((~less_3(B)) | (v129(constB120, B) <=> v127(constB119, B)))),
% 15.28/10.55 inference(unit_resolution,[status(thm)],[18196, 14947, 5156])).
% 15.28/10.55 tff(18198,plain,
% 15.28/10.55 (((~![B: $i] : ((~less_3(B)) | (v129(constB120, B) <=> v127(constB119, B)))) | ((~less_3(bitIndex2)) | (v129(constB120, bitIndex2) <=> v127(constB119, bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v129(constB120, B) <=> v127(constB119, B)))) | (~less_3(bitIndex2)) | (v129(constB120, bitIndex2) <=> v127(constB119, bitIndex2)))),
% 15.28/10.55 inference(rewrite,[status(thm)],[])).
% 15.28/10.55 tff(18199,plain,
% 15.28/10.55 ((~![B: $i] : ((~less_3(B)) | (v129(constB120, B) <=> v127(constB119, B)))) | ((~less_3(bitIndex2)) | (v129(constB120, bitIndex2) <=> v127(constB119, bitIndex2)))),
% 15.28/10.55 inference(quant_inst,[status(thm)],[])).
% 15.28/10.55 tff(18200,plain,
% 15.28/10.55 ((~![B: $i] : ((~less_3(B)) | (v129(constB120, B) <=> v127(constB119, B)))) | (~less_3(bitIndex2)) | (v129(constB120, bitIndex2) <=> v127(constB119, bitIndex2))),
% 15.28/10.55 inference(modus_ponens,[status(thm)],[18199, 18198])).
% 15.28/10.55 tff(18201,plain,
% 15.28/10.55 (v129(constB120, bitIndex2) <=> v127(constB119, bitIndex2)),
% 15.28/10.55 inference(unit_resolution,[status(thm)],[18200, 413, 18197])).
% 15.28/10.55 tff(18202,plain,
% 15.28/10.55 (((~![VarCurr: $i] : (v111(VarCurr) | ![B: $i] : ((~less_3(B)) | (v127(VarCurr, B) <=> v130(VarCurr, B))))) | (v111(constB119) | ![B: $i] : ((~less_3(B)) | (v127(constB119, B) <=> v130(constB119, B))))) <=> ((~![VarCurr: $i] : (v111(VarCurr) | ![B: $i] : ((~less_3(B)) | (v127(VarCurr, B) <=> v130(VarCurr, B))))) | v111(constB119) | ![B: $i] : ((~less_3(B)) | (v127(constB119, B) <=> v130(constB119, B))))),
% 15.28/10.55 inference(rewrite,[status(thm)],[])).
% 15.28/10.55 tff(18203,plain,
% 15.28/10.55 ((~![VarCurr: $i] : (v111(VarCurr) | ![B: $i] : ((~less_3(B)) | (v127(VarCurr, B) <=> v130(VarCurr, B))))) | (v111(constB119) | ![B: $i] : ((~less_3(B)) | (v127(constB119, B) <=> v130(constB119, B))))),
% 15.28/10.55 inference(quant_inst,[status(thm)],[])).
% 15.28/10.55 tff(18204,plain,
% 15.28/10.55 ((~![VarCurr: $i] : (v111(VarCurr) | ![B: $i] : ((~less_3(B)) | (v127(VarCurr, B) <=> v130(VarCurr, B))))) | v111(constB119) | ![B: $i] : ((~less_3(B)) | (v127(constB119, B) <=> v130(constB119, B)))),
% 15.28/10.55 inference(modus_ponens,[status(thm)],[18203, 18202])).
% 15.28/10.55 tff(18205,plain,
% 15.28/10.55 (![B: $i] : ((~less_3(B)) | (v127(constB119, B) <=> v130(constB119, B)))),
% 15.28/10.55 inference(unit_resolution,[status(thm)],[18204, 5177, 18166])).
% 15.28/10.55 tff(18206,plain,
% 15.28/10.55 (((~![B: $i] : ((~less_3(B)) | (v127(constB119, B) <=> v130(constB119, B)))) | ((~less_3(bitIndex2)) | (v127(constB119, bitIndex2) <=> v130(constB119, bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v127(constB119, B) <=> v130(constB119, B)))) | (~less_3(bitIndex2)) | (v127(constB119, bitIndex2) <=> v130(constB119, bitIndex2)))),
% 15.28/10.55 inference(rewrite,[status(thm)],[])).
% 15.28/10.55 tff(18207,plain,
% 15.28/10.55 ((~![B: $i] : ((~less_3(B)) | (v127(constB119, B) <=> v130(constB119, B)))) | ((~less_3(bitIndex2)) | (v127(constB119, bitIndex2) <=> v130(constB119, bitIndex2)))),
% 15.28/10.55 inference(quant_inst,[status(thm)],[])).
% 15.28/10.55 tff(18208,plain,
% 15.28/10.55 ((~![B: $i] : ((~less_3(B)) | (v127(constB119, B) <=> v130(constB119, B)))) | (~less_3(bitIndex2)) | (v127(constB119, bitIndex2) <=> v130(constB119, bitIndex2))),
% 15.28/10.55 inference(modus_ponens,[status(thm)],[18207, 18206])).
% 15.28/10.55 tff(18209,plain,
% 15.28/10.55 (v127(constB119, bitIndex2) <=> v130(constB119, bitIndex2)),
% 15.28/10.55 inference(unit_resolution,[status(thm)],[18208, 413, 18205])).
% 15.28/10.55 tff(18210,plain,
% 15.28/10.55 (((~![VarCurr: $i] : ((~v121(VarCurr)) | ![B: $i] : ((~less_3(B)) | (v130(VarCurr, B) <=> b011(B))))) | ((~v121(constB119)) | ![B: $i] : ((~less_3(B)) | (v130(constB119, B) <=> b011(B))))) <=> ((~![VarCurr: $i] : ((~v121(VarCurr)) | ![B: $i] : ((~less_3(B)) | (v130(VarCurr, B) <=> b011(B))))) | (~v121(constB119)) | ![B: $i] : ((~less_3(B)) | (v130(constB119, B) <=> b011(B))))),
% 15.28/10.55 inference(rewrite,[status(thm)],[])).
% 15.28/10.55 tff(18211,plain,
% 15.28/10.55 ((~![VarCurr: $i] : ((~v121(VarCurr)) | ![B: $i] : ((~less_3(B)) | (v130(VarCurr, B) <=> b011(B))))) | ((~v121(constB119)) | ![B: $i] : ((~less_3(B)) | (v130(constB119, B) <=> b011(B))))),
% 15.28/10.55 inference(quant_inst,[status(thm)],[])).
% 15.28/10.55 tff(18212,plain,
% 15.28/10.55 ((~![VarCurr: $i] : ((~v121(VarCurr)) | ![B: $i] : ((~less_3(B)) | (v130(VarCurr, B) <=> b011(B))))) | (~v121(constB119)) | ![B: $i] : ((~less_3(B)) | (v130(constB119, B) <=> b011(B)))),
% 15.28/10.55 inference(modus_ponens,[status(thm)],[18211, 18210])).
% 15.28/10.55 tff(18213,plain,
% 15.28/10.55 ((~v121(constB119)) | ![B: $i] : ((~less_3(B)) | (v130(constB119, B) <=> b011(B)))),
% 15.28/10.55 inference(unit_resolution,[status(thm)],[18212, 5977])).
% 15.28/10.55 tff(18214,plain,
% 15.28/10.55 (![B: $i] : ((~less_3(B)) | (v130(constB119, B) <=> b011(B)))),
% 15.28/10.55 inference(unit_resolution,[status(thm)],[18213, 18137])).
% 15.28/10.55 tff(18215,plain,
% 15.28/10.55 (((~![B: $i] : ((~less_3(B)) | (v130(constB119, B) <=> b011(B)))) | ((~less_3(bitIndex2)) | (v130(constB119, bitIndex2) <=> b011(bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v130(constB119, B) <=> b011(B)))) | (~less_3(bitIndex2)) | (v130(constB119, bitIndex2) <=> b011(bitIndex2)))),
% 15.28/10.55 inference(rewrite,[status(thm)],[])).
% 15.28/10.55 tff(18216,plain,
% 15.28/10.55 ((~![B: $i] : ((~less_3(B)) | (v130(constB119, B) <=> b011(B)))) | ((~less_3(bitIndex2)) | (v130(constB119, bitIndex2) <=> b011(bitIndex2)))),
% 15.28/10.55 inference(quant_inst,[status(thm)],[])).
% 15.28/10.55 tff(18217,plain,
% 15.28/10.55 ((~![B: $i] : ((~less_3(B)) | (v130(constB119, B) <=> b011(B)))) | (~less_3(bitIndex2)) | (v130(constB119, bitIndex2) <=> b011(bitIndex2))),
% 15.28/10.55 inference(modus_ponens,[status(thm)],[18216, 18215])).
% 15.28/10.55 tff(18218,plain,
% 15.28/10.55 (v130(constB119, bitIndex2) <=> b011(bitIndex2)),
% 15.28/10.55 inference(unit_resolution,[status(thm)],[18217, 413, 18214])).
% 15.28/10.55 tff(18219,plain,
% 15.28/10.55 ((~(v130(constB119, bitIndex2) <=> b011(bitIndex2))) | (~v130(constB119, bitIndex2)) | b011(bitIndex2)),
% 15.28/10.55 inference(tautology,[status(thm)],[])).
% 15.28/10.55 tff(18220,plain,
% 15.28/10.55 ((~(v130(constB119, bitIndex2) <=> b011(bitIndex2))) | (~v130(constB119, bitIndex2))),
% 15.28/10.55 inference(unit_resolution,[status(thm)],[18219, 5989])).
% 15.28/10.55 tff(18221,plain,
% 15.28/10.55 (~v130(constB119, bitIndex2)),
% 15.28/10.55 inference(unit_resolution,[status(thm)],[18220, 18218])).
% 15.28/10.55 tff(18222,plain,
% 15.28/10.55 ((~(v127(constB119, bitIndex2) <=> v130(constB119, bitIndex2))) | (~v127(constB119, bitIndex2)) | v130(constB119, bitIndex2)),
% 15.28/10.55 inference(tautology,[status(thm)],[])).
% 15.28/10.55 tff(18223,plain,
% 15.28/10.55 (~v127(constB119, bitIndex2)),
% 15.28/10.55 inference(unit_resolution,[status(thm)],[18222, 18221, 18209])).
% 15.28/10.55 tff(18224,plain,
% 15.28/10.55 ((~(v129(constB120, bitIndex2) <=> v127(constB119, bitIndex2))) | (~v129(constB120, bitIndex2)) | v127(constB119, bitIndex2)),
% 15.28/10.55 inference(tautology,[status(thm)],[])).
% 15.28/10.55 tff(18225,plain,
% 15.28/10.55 (~v129(constB120, bitIndex2)),
% 15.28/10.55 inference(unit_resolution,[status(thm)],[18224, 18223, 18201])).
% 15.28/10.55 tff(18226,plain,
% 15.28/10.55 ((~(v90(constB120, bitIndex2) <=> v129(constB120, bitIndex2))) | (~v90(constB120, bitIndex2)) | v129(constB120, bitIndex2)),
% 15.28/10.55 inference(tautology,[status(thm)],[])).
% 15.28/10.55 tff(18227,plain,
% 15.28/10.55 (~v90(constB120, bitIndex2)),
% 15.28/10.55 inference(unit_resolution,[status(thm)],[18226, 18225, 18193])).
% 15.28/10.55 tff(18228,plain,
% 15.28/10.55 ((~(v90(constB121, bitIndex2) <=> v90(constB120, bitIndex2))) | (~v90(constB121, bitIndex2)) | v90(constB120, bitIndex2)),
% 15.28/10.55 inference(tautology,[status(thm)],[])).
% 15.28/10.55 tff(18229,plain,
% 15.28/10.55 (~v90(constB121, bitIndex2)),
% 15.28/10.55 inference(unit_resolution,[status(thm)],[18228, 18227, 14944])).
% 15.28/10.55 tff(18230,plain,
% 15.28/10.55 (((~![B: $i] : ((~less_3(B)) | (v90(constB121, B) <=> v90(constB120, B)))) | ((~less_3(bitIndex0)) | (v90(constB121, bitIndex0) <=> v90(constB120, bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v90(constB121, B) <=> v90(constB120, B)))) | (~less_3(bitIndex0)) | (v90(constB121, bitIndex0) <=> v90(constB120, bitIndex0)))),
% 15.28/10.55 inference(rewrite,[status(thm)],[])).
% 15.28/10.55 tff(18231,plain,
% 15.28/10.55 ((~![B: $i] : ((~less_3(B)) | (v90(constB121, B) <=> v90(constB120, B)))) | ((~less_3(bitIndex0)) | (v90(constB121, bitIndex0) <=> v90(constB120, bitIndex0)))),
% 15.28/10.55 inference(quant_inst,[status(thm)],[])).
% 15.28/10.55 tff(18232,plain,
% 15.28/10.55 ((~![B: $i] : ((~less_3(B)) | (v90(constB121, B) <=> v90(constB120, B)))) | (~less_3(bitIndex0)) | (v90(constB121, bitIndex0) <=> v90(constB120, bitIndex0))),
% 15.28/10.55 inference(modus_ponens,[status(thm)],[18231, 18230])).
% 15.28/10.55 tff(18233,plain,
% 15.28/10.55 (v90(constB121, bitIndex0) <=> v90(constB120, bitIndex0)),
% 15.28/10.55 inference(unit_resolution,[status(thm)],[18232, 5004, 14940])).
% 15.28/10.55 tff(18234,plain,
% 15.28/10.55 (((~![B: $i] : ((~less_3(B)) | (v90(constB120, B) <=> v129(constB120, B)))) | ((~less_3(bitIndex0)) | (v90(constB120, bitIndex0) <=> v129(constB120, bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v90(constB120, B) <=> v129(constB120, B)))) | (~less_3(bitIndex0)) | (v90(constB120, bitIndex0) <=> v129(constB120, bitIndex0)))),
% 15.28/10.55 inference(rewrite,[status(thm)],[])).
% 15.28/10.55 tff(18235,plain,
% 15.28/10.55 ((~![B: $i] : ((~less_3(B)) | (v90(constB120, B) <=> v129(constB120, B)))) | ((~less_3(bitIndex0)) | (v90(constB120, bitIndex0) <=> v129(constB120, bitIndex0)))),
% 15.28/10.55 inference(quant_inst,[status(thm)],[])).
% 15.28/10.55 tff(18236,plain,
% 15.28/10.55 ((~![B: $i] : ((~less_3(B)) | (v90(constB120, B) <=> v129(constB120, B)))) | (~less_3(bitIndex0)) | (v90(constB120, bitIndex0) <=> v129(constB120, bitIndex0))),
% 15.28/10.55 inference(modus_ponens,[status(thm)],[18235, 18234])).
% 15.28/10.55 tff(18237,plain,
% 15.28/10.55 (v90(constB120, bitIndex0) <=> v129(constB120, bitIndex0)),
% 15.28/10.55 inference(unit_resolution,[status(thm)],[18236, 5004, 18189])).
% 15.28/10.55 tff(18238,plain,
% 15.28/10.55 (((~![B: $i] : ((~less_3(B)) | (v129(constB120, B) <=> v127(constB119, B)))) | ((~less_3(bitIndex0)) | (v129(constB120, bitIndex0) <=> v127(constB119, bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v129(constB120, B) <=> v127(constB119, B)))) | (~less_3(bitIndex0)) | (v129(constB120, bitIndex0) <=> v127(constB119, bitIndex0)))),
% 15.28/10.55 inference(rewrite,[status(thm)],[])).
% 15.28/10.55 tff(18239,plain,
% 15.28/10.55 ((~![B: $i] : ((~less_3(B)) | (v129(constB120, B) <=> v127(constB119, B)))) | ((~less_3(bitIndex0)) | (v129(constB120, bitIndex0) <=> v127(constB119, bitIndex0)))),
% 15.28/10.55 inference(quant_inst,[status(thm)],[])).
% 15.28/10.55 tff(18240,plain,
% 15.28/10.55 ((~![B: $i] : ((~less_3(B)) | (v129(constB120, B) <=> v127(constB119, B)))) | (~less_3(bitIndex0)) | (v129(constB120, bitIndex0) <=> v127(constB119, bitIndex0))),
% 15.28/10.55 inference(modus_ponens,[status(thm)],[18239, 18238])).
% 15.28/10.55 tff(18241,plain,
% 15.28/10.55 (v129(constB120, bitIndex0) <=> v127(constB119, bitIndex0)),
% 15.28/10.55 inference(unit_resolution,[status(thm)],[18240, 5004, 18197])).
% 15.28/10.55 tff(18242,plain,
% 15.28/10.55 (((~![B: $i] : ((~less_3(B)) | (v127(constB119, B) <=> v130(constB119, B)))) | ((~less_3(bitIndex0)) | (v127(constB119, bitIndex0) <=> v130(constB119, bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v127(constB119, B) <=> v130(constB119, B)))) | (~less_3(bitIndex0)) | (v127(constB119, bitIndex0) <=> v130(constB119, bitIndex0)))),
% 15.28/10.55 inference(rewrite,[status(thm)],[])).
% 15.28/10.55 tff(18243,plain,
% 15.28/10.55 ((~![B: $i] : ((~less_3(B)) | (v127(constB119, B) <=> v130(constB119, B)))) | ((~less_3(bitIndex0)) | (v127(constB119, bitIndex0) <=> v130(constB119, bitIndex0)))),
% 15.28/10.55 inference(quant_inst,[status(thm)],[])).
% 15.28/10.55 tff(18244,plain,
% 15.28/10.55 ((~![B: $i] : ((~less_3(B)) | (v127(constB119, B) <=> v130(constB119, B)))) | (~less_3(bitIndex0)) | (v127(constB119, bitIndex0) <=> v130(constB119, bitIndex0))),
% 15.28/10.55 inference(modus_ponens,[status(thm)],[18243, 18242])).
% 15.28/10.55 tff(18245,plain,
% 15.28/10.55 (v127(constB119, bitIndex0) <=> v130(constB119, bitIndex0)),
% 15.28/10.55 inference(unit_resolution,[status(thm)],[18244, 5004, 18205])).
% 15.28/10.55 tff(18246,plain,
% 15.28/10.55 (((~![B: $i] : ((~less_3(B)) | (v130(constB119, B) <=> b011(B)))) | ((~less_3(bitIndex0)) | (v130(constB119, bitIndex0) <=> b011(bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v130(constB119, B) <=> b011(B)))) | (~less_3(bitIndex0)) | (v130(constB119, bitIndex0) <=> b011(bitIndex0)))),
% 15.28/10.55 inference(rewrite,[status(thm)],[])).
% 15.28/10.55 tff(18247,plain,
% 15.28/10.55 ((~![B: $i] : ((~less_3(B)) | (v130(constB119, B) <=> b011(B)))) | ((~less_3(bitIndex0)) | (v130(constB119, bitIndex0) <=> b011(bitIndex0)))),
% 15.28/10.55 inference(quant_inst,[status(thm)],[])).
% 15.28/10.55 tff(18248,plain,
% 15.28/10.55 ((~![B: $i] : ((~less_3(B)) | (v130(constB119, B) <=> b011(B)))) | (~less_3(bitIndex0)) | (v130(constB119, bitIndex0) <=> b011(bitIndex0))),
% 15.28/10.55 inference(modus_ponens,[status(thm)],[18247, 18246])).
% 15.28/10.55 tff(18249,plain,
% 15.28/10.55 (v130(constB119, bitIndex0) <=> b011(bitIndex0)),
% 15.28/10.55 inference(unit_resolution,[status(thm)],[18248, 5004, 18214])).
% 15.28/10.55 tff(18250,plain,
% 15.28/10.55 ((~(v130(constB119, bitIndex0) <=> b011(bitIndex0))) | v130(constB119, bitIndex0) | (~b011(bitIndex0))),
% 15.28/10.55 inference(tautology,[status(thm)],[])).
% 15.28/10.55 tff(18251,plain,
% 15.28/10.55 ((~(v130(constB119, bitIndex0) <=> b011(bitIndex0))) | v130(constB119, bitIndex0)),
% 15.28/10.55 inference(unit_resolution,[status(thm)],[18250, 6023])).
% 15.28/10.55 tff(18252,plain,
% 15.28/10.55 (v130(constB119, bitIndex0)),
% 15.28/10.55 inference(unit_resolution,[status(thm)],[18251, 18249])).
% 15.28/10.55 tff(18253,plain,
% 15.28/10.55 ((~(v127(constB119, bitIndex0) <=> v130(constB119, bitIndex0))) | v127(constB119, bitIndex0) | (~v130(constB119, bitIndex0))),
% 15.28/10.55 inference(tautology,[status(thm)],[])).
% 15.28/10.55 tff(18254,plain,
% 15.28/10.55 (v127(constB119, bitIndex0)),
% 15.28/10.55 inference(unit_resolution,[status(thm)],[18253, 18252, 18245])).
% 15.28/10.55 tff(18255,plain,
% 15.28/10.55 ((~(v129(constB120, bitIndex0) <=> v127(constB119, bitIndex0))) | v129(constB120, bitIndex0) | (~v127(constB119, bitIndex0))),
% 15.28/10.55 inference(tautology,[status(thm)],[])).
% 15.28/10.55 tff(18256,plain,
% 15.28/10.55 (v129(constB120, bitIndex0)),
% 15.28/10.55 inference(unit_resolution,[status(thm)],[18255, 18254, 18241])).
% 15.28/10.55 tff(18257,plain,
% 15.28/10.55 ((~(v90(constB120, bitIndex0) <=> v129(constB120, bitIndex0))) | v90(constB120, bitIndex0) | (~v129(constB120, bitIndex0))),
% 15.28/10.55 inference(tautology,[status(thm)],[])).
% 15.28/10.55 tff(18258,plain,
% 15.28/10.55 (v90(constB120, bitIndex0)),
% 15.28/10.55 inference(unit_resolution,[status(thm)],[18257, 18256, 18237])).
% 15.28/10.55 tff(18259,plain,
% 15.28/10.55 ((~(v90(constB121, bitIndex0) <=> v90(constB120, bitIndex0))) | v90(constB121, bitIndex0) | (~v90(constB120, bitIndex0))),
% 15.28/10.55 inference(tautology,[status(thm)],[])).
% 15.28/10.55 tff(18260,plain,
% 15.28/10.55 (v90(constB121, bitIndex0)),
% 15.28/10.55 inference(unit_resolution,[status(thm)],[18259, 18258, 18233])).
% 15.28/10.55 tff(18261,plain,
% 15.28/10.55 (((~![B: $i] : ((~less_3(B)) | (v90(constB121, B) <=> v90(constB120, B)))) | ((~less_3(bitIndex1)) | (v90(constB121, bitIndex1) <=> v90(constB120, bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v90(constB121, B) <=> v90(constB120, B)))) | (~less_3(bitIndex1)) | (v90(constB121, bitIndex1) <=> v90(constB120, bitIndex1)))),
% 15.28/10.55 inference(rewrite,[status(thm)],[])).
% 15.28/10.55 tff(18262,plain,
% 15.28/10.55 ((~![B: $i] : ((~less_3(B)) | (v90(constB121, B) <=> v90(constB120, B)))) | ((~less_3(bitIndex1)) | (v90(constB121, bitIndex1) <=> v90(constB120, bitIndex1)))),
% 15.28/10.55 inference(quant_inst,[status(thm)],[])).
% 15.28/10.55 tff(18263,plain,
% 15.28/10.55 ((~![B: $i] : ((~less_3(B)) | (v90(constB121, B) <=> v90(constB120, B)))) | (~less_3(bitIndex1)) | (v90(constB121, bitIndex1) <=> v90(constB120, bitIndex1))),
% 15.28/10.55 inference(modus_ponens,[status(thm)],[18262, 18261])).
% 15.28/10.55 tff(18264,plain,
% 15.28/10.55 (v90(constB121, bitIndex1) <=> v90(constB120, bitIndex1)),
% 15.28/10.55 inference(unit_resolution,[status(thm)],[18263, 5017, 14940])).
% 15.28/10.55 tff(18265,plain,
% 15.28/10.55 (((~![B: $i] : ((~less_3(B)) | (v90(constB120, B) <=> v129(constB120, B)))) | ((~less_3(bitIndex1)) | (v90(constB120, bitIndex1) <=> v129(constB120, bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v90(constB120, B) <=> v129(constB120, B)))) | (~less_3(bitIndex1)) | (v90(constB120, bitIndex1) <=> v129(constB120, bitIndex1)))),
% 15.28/10.55 inference(rewrite,[status(thm)],[])).
% 15.28/10.55 tff(18266,plain,
% 15.28/10.55 ((~![B: $i] : ((~less_3(B)) | (v90(constB120, B) <=> v129(constB120, B)))) | ((~less_3(bitIndex1)) | (v90(constB120, bitIndex1) <=> v129(constB120, bitIndex1)))),
% 15.28/10.55 inference(quant_inst,[status(thm)],[])).
% 15.28/10.55 tff(18267,plain,
% 15.28/10.55 ((~![B: $i] : ((~less_3(B)) | (v90(constB120, B) <=> v129(constB120, B)))) | (~less_3(bitIndex1)) | (v90(constB120, bitIndex1) <=> v129(constB120, bitIndex1))),
% 15.28/10.55 inference(modus_ponens,[status(thm)],[18266, 18265])).
% 15.28/10.55 tff(18268,plain,
% 15.28/10.55 (v90(constB120, bitIndex1) <=> v129(constB120, bitIndex1)),
% 15.28/10.55 inference(unit_resolution,[status(thm)],[18267, 5017, 18189])).
% 15.28/10.55 tff(18269,plain,
% 15.28/10.55 (((~![B: $i] : ((~less_3(B)) | (v129(constB120, B) <=> v127(constB119, B)))) | ((~less_3(bitIndex1)) | (v129(constB120, bitIndex1) <=> v127(constB119, bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v129(constB120, B) <=> v127(constB119, B)))) | (~less_3(bitIndex1)) | (v129(constB120, bitIndex1) <=> v127(constB119, bitIndex1)))),
% 15.28/10.55 inference(rewrite,[status(thm)],[])).
% 15.28/10.55 tff(18270,plain,
% 15.28/10.55 ((~![B: $i] : ((~less_3(B)) | (v129(constB120, B) <=> v127(constB119, B)))) | ((~less_3(bitIndex1)) | (v129(constB120, bitIndex1) <=> v127(constB119, bitIndex1)))),
% 15.28/10.55 inference(quant_inst,[status(thm)],[])).
% 15.28/10.55 tff(18271,plain,
% 15.28/10.55 ((~![B: $i] : ((~less_3(B)) | (v129(constB120, B) <=> v127(constB119, B)))) | (~less_3(bitIndex1)) | (v129(constB120, bitIndex1) <=> v127(constB119, bitIndex1))),
% 15.28/10.55 inference(modus_ponens,[status(thm)],[18270, 18269])).
% 15.28/10.55 tff(18272,plain,
% 15.28/10.55 (v129(constB120, bitIndex1) <=> v127(constB119, bitIndex1)),
% 15.28/10.55 inference(unit_resolution,[status(thm)],[18271, 5017, 18197])).
% 15.28/10.55 tff(18273,plain,
% 15.28/10.55 (((~![B: $i] : ((~less_3(B)) | (v127(constB119, B) <=> v130(constB119, B)))) | ((~less_3(bitIndex1)) | (v127(constB119, bitIndex1) <=> v130(constB119, bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v127(constB119, B) <=> v130(constB119, B)))) | (~less_3(bitIndex1)) | (v127(constB119, bitIndex1) <=> v130(constB119, bitIndex1)))),
% 15.28/10.55 inference(rewrite,[status(thm)],[])).
% 15.28/10.55 tff(18274,plain,
% 15.28/10.55 ((~![B: $i] : ((~less_3(B)) | (v127(constB119, B) <=> v130(constB119, B)))) | ((~less_3(bitIndex1)) | (v127(constB119, bitIndex1) <=> v130(constB119, bitIndex1)))),
% 15.28/10.55 inference(quant_inst,[status(thm)],[])).
% 15.28/10.55 tff(18275,plain,
% 15.28/10.55 ((~![B: $i] : ((~less_3(B)) | (v127(constB119, B) <=> v130(constB119, B)))) | (~less_3(bitIndex1)) | (v127(constB119, bitIndex1) <=> v130(constB119, bitIndex1))),
% 15.28/10.55 inference(modus_ponens,[status(thm)],[18274, 18273])).
% 15.28/10.55 tff(18276,plain,
% 15.28/10.55 (v127(constB119, bitIndex1) <=> v130(constB119, bitIndex1)),
% 15.28/10.55 inference(unit_resolution,[status(thm)],[18275, 5017, 18205])).
% 15.28/10.55 tff(18277,plain,
% 15.28/10.55 (((~![B: $i] : ((~less_3(B)) | (v130(constB119, B) <=> b011(B)))) | ((~less_3(bitIndex1)) | (v130(constB119, bitIndex1) <=> b011(bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v130(constB119, B) <=> b011(B)))) | (~less_3(bitIndex1)) | (v130(constB119, bitIndex1) <=> b011(bitIndex1)))),
% 15.28/10.55 inference(rewrite,[status(thm)],[])).
% 15.28/10.55 tff(18278,plain,
% 15.28/10.55 ((~![B: $i] : ((~less_3(B)) | (v130(constB119, B) <=> b011(B)))) | ((~less_3(bitIndex1)) | (v130(constB119, bitIndex1) <=> b011(bitIndex1)))),
% 15.28/10.55 inference(quant_inst,[status(thm)],[])).
% 15.28/10.55 tff(18279,plain,
% 15.28/10.55 ((~![B: $i] : ((~less_3(B)) | (v130(constB119, B) <=> b011(B)))) | (~less_3(bitIndex1)) | (v130(constB119, bitIndex1) <=> b011(bitIndex1))),
% 15.28/10.55 inference(modus_ponens,[status(thm)],[18278, 18277])).
% 15.28/10.55 tff(18280,plain,
% 15.28/10.55 (v130(constB119, bitIndex1) <=> b011(bitIndex1)),
% 15.28/10.55 inference(unit_resolution,[status(thm)],[18279, 5017, 18214])).
% 15.28/10.55 tff(18281,plain,
% 15.28/10.55 ((~(v130(constB119, bitIndex1) <=> b011(bitIndex1))) | v130(constB119, bitIndex1) | (~b011(bitIndex1))),
% 15.28/10.55 inference(tautology,[status(thm)],[])).
% 15.28/10.55 tff(18282,plain,
% 15.28/10.55 ((~(v130(constB119, bitIndex1) <=> b011(bitIndex1))) | v130(constB119, bitIndex1)),
% 15.28/10.55 inference(unit_resolution,[status(thm)],[18281, 6057])).
% 15.28/10.55 tff(18283,plain,
% 15.28/10.55 (v130(constB119, bitIndex1)),
% 15.28/10.55 inference(unit_resolution,[status(thm)],[18282, 18280])).
% 15.28/10.55 tff(18284,plain,
% 15.28/10.55 ((~(v127(constB119, bitIndex1) <=> v130(constB119, bitIndex1))) | v127(constB119, bitIndex1) | (~v130(constB119, bitIndex1))),
% 15.28/10.55 inference(tautology,[status(thm)],[])).
% 15.28/10.55 tff(18285,plain,
% 15.28/10.55 (v127(constB119, bitIndex1)),
% 15.28/10.55 inference(unit_resolution,[status(thm)],[18284, 18283, 18276])).
% 15.28/10.55 tff(18286,plain,
% 15.28/10.55 ((~(v129(constB120, bitIndex1) <=> v127(constB119, bitIndex1))) | v129(constB120, bitIndex1) | (~v127(constB119, bitIndex1))),
% 15.28/10.55 inference(tautology,[status(thm)],[])).
% 15.28/10.55 tff(18287,plain,
% 15.28/10.55 (v129(constB120, bitIndex1)),
% 15.28/10.55 inference(unit_resolution,[status(thm)],[18286, 18285, 18272])).
% 15.28/10.55 tff(18288,plain,
% 15.28/10.55 ((~(v90(constB120, bitIndex1) <=> v129(constB120, bitIndex1))) | v90(constB120, bitIndex1) | (~v129(constB120, bitIndex1))),
% 15.28/10.55 inference(tautology,[status(thm)],[])).
% 15.28/10.55 tff(18289,plain,
% 15.28/10.55 (v90(constB120, bitIndex1)),
% 15.28/10.55 inference(unit_resolution,[status(thm)],[18288, 18287, 18268])).
% 15.28/10.55 tff(18290,plain,
% 15.28/10.55 ((~(v90(constB121, bitIndex1) <=> v90(constB120, bitIndex1))) | v90(constB121, bitIndex1) | (~v90(constB120, bitIndex1))),
% 15.28/10.55 inference(tautology,[status(thm)],[])).
% 15.28/10.55 tff(18291,plain,
% 15.28/10.55 (v90(constB121, bitIndex1)),
% 15.28/10.55 inference(unit_resolution,[status(thm)],[18290, 18289, 18264])).
% 15.28/10.55 tff(18292,plain,
% 15.28/10.55 ((~(v90(constB121, bitIndex2) | (~v90(constB121, bitIndex1)) | (~v90(constB121, bitIndex0)))) | v90(constB121, bitIndex2) | (~v90(constB121, bitIndex1)) | (~v90(constB121, bitIndex0))),
% 15.28/10.55 inference(tautology,[status(thm)],[])).
% 15.28/10.55 tff(18293,plain,
% 15.28/10.55 (~(v90(constB121, bitIndex2) | (~v90(constB121, bitIndex1)) | (~v90(constB121, bitIndex0)))),
% 15.28/10.55 inference(unit_resolution,[status(thm)],[18292, 18291, 18260, 18229])).
% 15.28/10.55 tff(18294,plain,
% 15.28/10.55 ((~(v122(constB121) <=> (~(v90(constB121, bitIndex2) | (~v90(constB121, bitIndex1)) | (~v90(constB121, bitIndex0)))))) | v122(constB121) | (v90(constB121, bitIndex2) | (~v90(constB121, bitIndex1)) | (~v90(constB121, bitIndex0)))),
% 15.28/10.55 inference(tautology,[status(thm)],[])).
% 15.28/10.55 tff(18295,plain,
% 15.28/10.55 (v122(constB121)),
% 15.28/10.55 inference(unit_resolution,[status(thm)],[18294, 18293, 14912])).
% 15.28/10.55 tff(18296,plain,
% 15.28/10.55 ((v117(constB121) | v122(constB121)) | (~v122(constB121))),
% 15.28/10.55 inference(tautology,[status(thm)],[])).
% 15.28/10.55 tff(18297,plain,
% 15.28/10.55 (v117(constB121) | v122(constB121)),
% 15.28/10.55 inference(unit_resolution,[status(thm)],[18296, 18295])).
% 15.28/10.55 tff(18298,plain,
% 15.28/10.55 ((~(v116(constB121) <=> (v117(constB121) | v122(constB121)))) | v116(constB121) | (~(v117(constB121) | v122(constB121)))),
% 15.28/10.55 inference(tautology,[status(thm)],[])).
% 15.28/10.55 tff(18299,plain,
% 15.28/10.55 (v116(constB121)),
% 15.28/10.55 inference(unit_resolution,[status(thm)],[18298, 18297, 14905])).
% 15.28/10.55 tff(18300,plain,
% 15.28/10.55 ((v116(constB121) | v123(constB121)) | (~v116(constB121))),
% 15.28/10.55 inference(tautology,[status(thm)],[])).
% 15.28/10.55 tff(18301,plain,
% 15.28/10.55 (v116(constB121) | v123(constB121)),
% 15.28/10.55 inference(unit_resolution,[status(thm)],[18300, 18299])).
% 15.28/10.55 tff(18302,plain,
% 15.28/10.55 ((~(v115(constB121) <=> (v116(constB121) | v123(constB121)))) | v115(constB121) | (~(v116(constB121) | v123(constB121)))),
% 15.28/10.55 inference(tautology,[status(thm)],[])).
% 15.28/10.55 tff(18303,plain,
% 15.28/10.55 (v115(constB121)),
% 15.28/10.55 inference(unit_resolution,[status(thm)],[18302, 18301, 14903])).
% 15.28/10.55 tff(18304,plain,
% 15.28/10.55 ((v115(constB121) | v124(constB121)) | (~v115(constB121))),
% 15.28/10.55 inference(tautology,[status(thm)],[])).
% 15.28/10.55 tff(18305,plain,
% 15.28/10.55 (v115(constB121) | v124(constB121)),
% 15.28/10.55 inference(unit_resolution,[status(thm)],[18304, 18303])).
% 15.28/10.55 tff(18306,plain,
% 15.28/10.55 ((~(v114(constB121) <=> (v115(constB121) | v124(constB121)))) | v114(constB121) | (~(v115(constB121) | v124(constB121)))),
% 15.28/10.55 inference(tautology,[status(thm)],[])).
% 15.28/10.55 tff(18307,plain,
% 15.28/10.55 (v114(constB121)),
% 15.28/10.55 inference(unit_resolution,[status(thm)],[18306, 18305, 14901])).
% 15.28/10.55 tff(18308,plain,
% 15.28/10.55 ((v114(constB121) | v125(constB121)) | (~v114(constB121))),
% 15.28/10.55 inference(tautology,[status(thm)],[])).
% 15.28/10.55 tff(18309,plain,
% 15.28/10.55 (v114(constB121) | v125(constB121)),
% 15.28/10.55 inference(unit_resolution,[status(thm)],[18308, 18307])).
% 15.28/10.55 tff(18310,plain,
% 15.28/10.55 ((~(v113(constB121) <=> (v114(constB121) | v125(constB121)))) | v113(constB121) | (~(v114(constB121) | v125(constB121)))),
% 15.28/10.55 inference(tautology,[status(thm)],[])).
% 15.28/10.56 tff(18311,plain,
% 15.28/10.56 (v113(constB121)),
% 15.28/10.56 inference(unit_resolution,[status(thm)],[18310, 18309, 14899])).
% 15.28/10.56 tff(18312,plain,
% 15.28/10.56 ((~![VarCurr: $i] : ((~v126(VarCurr)) <=> v111(VarCurr))) | ((~v126(constB121)) <=> v111(constB121))),
% 15.28/10.56 inference(quant_inst,[status(thm)],[])).
% 15.28/10.56 tff(18313,plain,
% 15.28/10.56 ((~v126(constB121)) <=> v111(constB121)),
% 15.28/10.56 inference(unit_resolution,[status(thm)],[18312, 5074])).
% 15.28/10.56 tff(18314,plain,
% 15.28/10.56 ((~![VarCurr: $i] : (v111(VarCurr) <=> v26(VarCurr))) | (v111(constB121) <=> v26(constB121))),
% 15.28/10.56 inference(quant_inst,[status(thm)],[])).
% 15.28/10.56 tff(18315,plain,
% 15.28/10.56 (v111(constB121) <=> v26(constB121)),
% 15.28/10.56 inference(unit_resolution,[status(thm)],[18314, 5086])).
% 15.28/10.56 tff(18316,plain,
% 15.28/10.56 ((~![VarCurr: $i] : (~v26(VarCurr))) | (~v26(constB121))),
% 15.28/10.56 inference(quant_inst,[status(thm)],[])).
% 15.28/10.56 tff(18317,plain,
% 15.28/10.56 (~v26(constB121)),
% 15.28/10.56 inference(unit_resolution,[status(thm)],[18316, 5098])).
% 15.28/10.56 tff(18318,plain,
% 15.28/10.56 ((~(v111(constB121) <=> v26(constB121))) | (~v111(constB121)) | v26(constB121)),
% 15.28/10.56 inference(tautology,[status(thm)],[])).
% 15.28/10.56 tff(18319,plain,
% 15.28/10.56 ((~(v111(constB121) <=> v26(constB121))) | (~v111(constB121))),
% 15.28/10.56 inference(unit_resolution,[status(thm)],[18318, 18317])).
% 15.28/10.56 tff(18320,plain,
% 15.28/10.56 (~v111(constB121)),
% 15.28/10.56 inference(unit_resolution,[status(thm)],[18319, 18315])).
% 15.28/10.56 tff(18321,plain,
% 15.28/10.56 ((~((~v126(constB121)) <=> v111(constB121))) | v126(constB121) | v111(constB121)),
% 15.28/10.56 inference(tautology,[status(thm)],[])).
% 15.28/10.56 tff(18322,plain,
% 15.28/10.56 ((~((~v126(constB121)) <=> v111(constB121))) | v126(constB121)),
% 15.28/10.56 inference(unit_resolution,[status(thm)],[18321, 18320])).
% 15.28/10.56 tff(18323,plain,
% 15.28/10.56 (v126(constB121)),
% 15.28/10.56 inference(unit_resolution,[status(thm)],[18322, 18313])).
% 15.28/10.56 tff(18324,plain,
% 15.28/10.56 ((~((~v113(constB121)) | (~v126(constB121)))) | (~v113(constB121)) | (~v126(constB121))),
% 15.28/10.56 inference(tautology,[status(thm)],[])).
% 15.28/10.56 tff(18325,plain,
% 15.28/10.56 ((~((~v113(constB121)) | (~v126(constB121)))) | (~v113(constB121))),
% 15.28/10.56 inference(unit_resolution,[status(thm)],[18324, 18323])).
% 15.28/10.56 tff(18326,plain,
% 15.28/10.56 (~((~v113(constB121)) | (~v126(constB121)))),
% 15.28/10.56 inference(unit_resolution,[status(thm)],[18325, 18311])).
% 15.28/10.56 tff(18327,plain,
% 15.28/10.56 ((~(v112(constB121) <=> (~((~v113(constB121)) | (~v126(constB121)))))) | v112(constB121) | ((~v113(constB121)) | (~v126(constB121)))),
% 15.28/10.56 inference(tautology,[status(thm)],[])).
% 15.28/10.56 tff(18328,plain,
% 15.28/10.56 (v112(constB121)),
% 15.28/10.56 inference(unit_resolution,[status(thm)],[18327, 18326, 14897])).
% 15.28/10.56 tff(18329,plain,
% 15.28/10.56 ((v111(constB121) | v112(constB121)) | (~v112(constB121))),
% 15.28/10.56 inference(tautology,[status(thm)],[])).
% 15.28/10.56 tff(18330,plain,
% 15.28/10.56 (v111(constB121) | v112(constB121)),
% 15.28/10.56 inference(unit_resolution,[status(thm)],[18329, 18328])).
% 15.28/10.56 tff(18331,plain,
% 15.28/10.56 ((~(v108(constB121) <=> (v111(constB121) | v112(constB121)))) | v108(constB121) | (~(v111(constB121) | v112(constB121)))),
% 15.28/10.56 inference(tautology,[status(thm)],[])).
% 15.28/10.56 tff(18332,plain,
% 15.28/10.56 (v108(constB121)),
% 15.28/10.56 inference(unit_resolution,[status(thm)],[18331, 18330, 14895])).
% 15.28/10.56 tff(18333,plain,
% 15.28/10.56 ((~(v110(constB122) <=> v108(constB121))) | v110(constB122) | (~v108(constB121))),
% 15.28/10.56 inference(tautology,[status(thm)],[])).
% 15.28/10.56 tff(18334,plain,
% 15.28/10.56 (v110(constB122)),
% 15.28/10.56 inference(unit_resolution,[status(thm)],[18333, 18332, 14893])).
% 15.28/10.56 tff(18335,plain,
% 15.28/10.56 ((~((~v101(constB122)) | (~v110(constB122)))) | (~v101(constB122)) | (~v110(constB122))),
% 15.28/10.56 inference(tautology,[status(thm)],[])).
% 15.28/10.56 tff(18336,plain,
% 15.28/10.56 (~((~v101(constB122)) | (~v110(constB122)))),
% 15.28/10.56 inference(unit_resolution,[status(thm)],[18335, 18334, 14889])).
% 15.28/10.56 tff(18337,plain,
% 15.28/10.56 ((~(v100(constB122) <=> (~((~v101(constB122)) | (~v110(constB122)))))) | v100(constB122) | ((~v101(constB122)) | (~v110(constB122)))),
% 15.28/10.56 inference(tautology,[status(thm)],[])).
% 15.28/10.56 tff(18338,plain,
% 15.28/10.56 (v100(constB122)),
% 15.28/10.56 inference(unit_resolution,[status(thm)],[18337, 18336, 14858])).
% 15.28/10.56 tff(18339,plain,
% 15.28/10.56 (((~![VarNext: $i] : ((~v100(VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v129(VarNext, B))))) | ((~v100(constB122)) | ![B: $i] : ((~less_3(B)) | (v90(constB122, B) <=> v129(constB122, B))))) <=> ((~![VarNext: $i] : ((~v100(VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v129(VarNext, B))))) | (~v100(constB122)) | ![B: $i] : ((~less_3(B)) | (v90(constB122, B) <=> v129(constB122, B))))),
% 15.28/10.56 inference(rewrite,[status(thm)],[])).
% 15.28/10.56 tff(18340,plain,
% 15.28/10.56 ((~![VarNext: $i] : ((~v100(VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v129(VarNext, B))))) | ((~v100(constB122)) | ![B: $i] : ((~less_3(B)) | (v90(constB122, B) <=> v129(constB122, B))))),
% 15.28/10.56 inference(quant_inst,[status(thm)],[])).
% 15.28/10.56 tff(18341,plain,
% 15.28/10.56 ((~![VarNext: $i] : ((~v100(VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v129(VarNext, B))))) | (~v100(constB122)) | ![B: $i] : ((~less_3(B)) | (v90(constB122, B) <=> v129(constB122, B)))),
% 15.28/10.56 inference(modus_ponens,[status(thm)],[18340, 18339])).
% 15.28/10.56 tff(18342,plain,
% 15.28/10.56 ((~v100(constB122)) | ![B: $i] : ((~less_3(B)) | (v90(constB122, B) <=> v129(constB122, B)))),
% 15.28/10.56 inference(unit_resolution,[status(thm)],[18341, 5134])).
% 15.28/10.56 tff(18343,plain,
% 15.28/10.56 (![B: $i] : ((~less_3(B)) | (v90(constB122, B) <=> v129(constB122, B)))),
% 15.28/10.56 inference(unit_resolution,[status(thm)],[18342, 18338])).
% 15.28/10.56 tff(18344,plain,
% 15.28/10.56 (((~![B: $i] : ((~less_3(B)) | (v90(constB122, B) <=> v129(constB122, B)))) | ((~less_3(bitIndex2)) | (v90(constB122, bitIndex2) <=> v129(constB122, bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v90(constB122, B) <=> v129(constB122, B)))) | (~less_3(bitIndex2)) | (v90(constB122, bitIndex2) <=> v129(constB122, bitIndex2)))),
% 15.28/10.56 inference(rewrite,[status(thm)],[])).
% 15.28/10.56 tff(18345,plain,
% 15.28/10.56 ((~![B: $i] : ((~less_3(B)) | (v90(constB122, B) <=> v129(constB122, B)))) | ((~less_3(bitIndex2)) | (v90(constB122, bitIndex2) <=> v129(constB122, bitIndex2)))),
% 15.28/10.56 inference(quant_inst,[status(thm)],[])).
% 15.28/10.56 tff(18346,plain,
% 15.28/10.56 ((~![B: $i] : ((~less_3(B)) | (v90(constB122, B) <=> v129(constB122, B)))) | (~less_3(bitIndex2)) | (v90(constB122, bitIndex2) <=> v129(constB122, bitIndex2))),
% 15.28/10.56 inference(modus_ponens,[status(thm)],[18345, 18344])).
% 15.28/10.56 tff(18347,plain,
% 15.28/10.56 (v90(constB122, bitIndex2) <=> v129(constB122, bitIndex2)),
% 15.28/10.56 inference(unit_resolution,[status(thm)],[18346, 413, 18343])).
% 15.28/10.56 tff(18348,plain,
% 15.28/10.56 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v129(VarNext, B) <=> v127(VarCurr, B))))) | ((~nextState(constB121, constB122)) | ![B: $i] : ((~less_3(B)) | (v129(constB122, B) <=> v127(constB121, B))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v129(VarNext, B) <=> v127(VarCurr, B))))) | (~nextState(constB121, constB122)) | ![B: $i] : ((~less_3(B)) | (v129(constB122, B) <=> v127(constB121, B))))),
% 15.28/10.56 inference(rewrite,[status(thm)],[])).
% 15.28/10.56 tff(18349,plain,
% 15.28/10.56 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v129(VarNext, B) <=> v127(VarCurr, B))))) | ((~nextState(constB121, constB122)) | ![B: $i] : ((~less_3(B)) | (v129(constB122, B) <=> v127(constB121, B))))),
% 15.28/10.56 inference(quant_inst,[status(thm)],[])).
% 15.28/10.56 tff(18350,plain,
% 15.28/10.56 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v129(VarNext, B) <=> v127(VarCurr, B))))) | (~nextState(constB121, constB122)) | ![B: $i] : ((~less_3(B)) | (v129(constB122, B) <=> v127(constB121, B)))),
% 15.28/10.56 inference(modus_ponens,[status(thm)],[18349, 18348])).
% 15.28/10.56 tff(18351,plain,
% 15.28/10.56 (![B: $i] : ((~less_3(B)) | (v129(constB122, B) <=> v127(constB121, B)))),
% 15.28/10.56 inference(unit_resolution,[status(thm)],[18350, 14854, 5156])).
% 15.28/10.56 tff(18352,plain,
% 15.28/10.56 (((~![B: $i] : ((~less_3(B)) | (v129(constB122, B) <=> v127(constB121, B)))) | ((~less_3(bitIndex2)) | (v129(constB122, bitIndex2) <=> v127(constB121, bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v129(constB122, B) <=> v127(constB121, B)))) | (~less_3(bitIndex2)) | (v129(constB122, bitIndex2) <=> v127(constB121, bitIndex2)))),
% 15.28/10.56 inference(rewrite,[status(thm)],[])).
% 15.28/10.56 tff(18353,plain,
% 15.28/10.56 ((~![B: $i] : ((~less_3(B)) | (v129(constB122, B) <=> v127(constB121, B)))) | ((~less_3(bitIndex2)) | (v129(constB122, bitIndex2) <=> v127(constB121, bitIndex2)))),
% 15.28/10.56 inference(quant_inst,[status(thm)],[])).
% 15.28/10.56 tff(18354,plain,
% 15.28/10.56 ((~![B: $i] : ((~less_3(B)) | (v129(constB122, B) <=> v127(constB121, B)))) | (~less_3(bitIndex2)) | (v129(constB122, bitIndex2) <=> v127(constB121, bitIndex2))),
% 15.28/10.56 inference(modus_ponens,[status(thm)],[18353, 18352])).
% 15.28/10.56 tff(18355,plain,
% 15.28/10.56 (v129(constB122, bitIndex2) <=> v127(constB121, bitIndex2)),
% 15.28/10.56 inference(unit_resolution,[status(thm)],[18354, 413, 18351])).
% 15.28/10.56 tff(18356,plain,
% 15.28/10.56 (((~![VarCurr: $i] : (v111(VarCurr) | ![B: $i] : ((~less_3(B)) | (v127(VarCurr, B) <=> v130(VarCurr, B))))) | (v111(constB121) | ![B: $i] : ((~less_3(B)) | (v127(constB121, B) <=> v130(constB121, B))))) <=> ((~![VarCurr: $i] : (v111(VarCurr) | ![B: $i] : ((~less_3(B)) | (v127(VarCurr, B) <=> v130(VarCurr, B))))) | v111(constB121) | ![B: $i] : ((~less_3(B)) | (v127(constB121, B) <=> v130(constB121, B))))),
% 15.28/10.56 inference(rewrite,[status(thm)],[])).
% 15.28/10.56 tff(18357,plain,
% 15.28/10.56 ((~![VarCurr: $i] : (v111(VarCurr) | ![B: $i] : ((~less_3(B)) | (v127(VarCurr, B) <=> v130(VarCurr, B))))) | (v111(constB121) | ![B: $i] : ((~less_3(B)) | (v127(constB121, B) <=> v130(constB121, B))))),
% 15.28/10.56 inference(quant_inst,[status(thm)],[])).
% 15.28/10.56 tff(18358,plain,
% 15.28/10.56 ((~![VarCurr: $i] : (v111(VarCurr) | ![B: $i] : ((~less_3(B)) | (v127(VarCurr, B) <=> v130(VarCurr, B))))) | v111(constB121) | ![B: $i] : ((~less_3(B)) | (v127(constB121, B) <=> v130(constB121, B)))),
% 15.28/10.56 inference(modus_ponens,[status(thm)],[18357, 18356])).
% 15.28/10.56 tff(18359,plain,
% 15.28/10.56 (![B: $i] : ((~less_3(B)) | (v127(constB121, B) <=> v130(constB121, B)))),
% 15.28/10.56 inference(unit_resolution,[status(thm)],[18358, 5177, 18320])).
% 15.28/10.56 tff(18360,plain,
% 15.28/10.56 (((~![B: $i] : ((~less_3(B)) | (v127(constB121, B) <=> v130(constB121, B)))) | ((~less_3(bitIndex2)) | (v127(constB121, bitIndex2) <=> v130(constB121, bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v127(constB121, B) <=> v130(constB121, B)))) | (~less_3(bitIndex2)) | (v127(constB121, bitIndex2) <=> v130(constB121, bitIndex2)))),
% 15.28/10.56 inference(rewrite,[status(thm)],[])).
% 15.28/10.56 tff(18361,plain,
% 15.28/10.56 ((~![B: $i] : ((~less_3(B)) | (v127(constB121, B) <=> v130(constB121, B)))) | ((~less_3(bitIndex2)) | (v127(constB121, bitIndex2) <=> v130(constB121, bitIndex2)))),
% 15.28/10.56 inference(quant_inst,[status(thm)],[])).
% 15.28/10.56 tff(18362,plain,
% 15.28/10.56 ((~![B: $i] : ((~less_3(B)) | (v127(constB121, B) <=> v130(constB121, B)))) | (~less_3(bitIndex2)) | (v127(constB121, bitIndex2) <=> v130(constB121, bitIndex2))),
% 15.28/10.56 inference(modus_ponens,[status(thm)],[18361, 18360])).
% 15.28/10.56 tff(18363,plain,
% 15.28/10.56 (v127(constB121, bitIndex2) <=> v130(constB121, bitIndex2)),
% 15.28/10.56 inference(unit_resolution,[status(thm)],[18362, 413, 18359])).
% 15.28/10.56 tff(18364,plain,
% 15.28/10.56 (((~![VarCurr: $i] : ((~v122(VarCurr)) | ![B: $i] : ((~less_3(B)) | (v130(VarCurr, B) <=> b100(B))))) | ((~v122(constB121)) | ![B: $i] : ((~less_3(B)) | (v130(constB121, B) <=> b100(B))))) <=> ((~![VarCurr: $i] : ((~v122(VarCurr)) | ![B: $i] : ((~less_3(B)) | (v130(VarCurr, B) <=> b100(B))))) | (~v122(constB121)) | ![B: $i] : ((~less_3(B)) | (v130(constB121, B) <=> b100(B))))),
% 15.28/10.56 inference(rewrite,[status(thm)],[])).
% 15.28/10.56 tff(18365,plain,
% 15.28/10.56 ((~![VarCurr: $i] : ((~v122(VarCurr)) | ![B: $i] : ((~less_3(B)) | (v130(VarCurr, B) <=> b100(B))))) | ((~v122(constB121)) | ![B: $i] : ((~less_3(B)) | (v130(constB121, B) <=> b100(B))))),
% 15.28/10.56 inference(quant_inst,[status(thm)],[])).
% 15.28/10.56 tff(18366,plain,
% 15.28/10.56 ((~![VarCurr: $i] : ((~v122(VarCurr)) | ![B: $i] : ((~less_3(B)) | (v130(VarCurr, B) <=> b100(B))))) | (~v122(constB121)) | ![B: $i] : ((~less_3(B)) | (v130(constB121, B) <=> b100(B)))),
% 15.28/10.56 inference(modus_ponens,[status(thm)],[18365, 18364])).
% 15.28/10.56 tff(18367,plain,
% 15.28/10.56 ((~v122(constB121)) | ![B: $i] : ((~less_3(B)) | (v130(constB121, B) <=> b100(B)))),
% 15.28/10.56 inference(unit_resolution,[status(thm)],[18366, 6153])).
% 15.28/10.56 tff(18368,plain,
% 15.28/10.56 (![B: $i] : ((~less_3(B)) | (v130(constB121, B) <=> b100(B)))),
% 15.28/10.56 inference(unit_resolution,[status(thm)],[18367, 18295])).
% 15.28/10.56 tff(18369,plain,
% 15.28/10.56 (((~![B: $i] : ((~less_3(B)) | (v130(constB121, B) <=> b100(B)))) | ((~less_3(bitIndex2)) | (v130(constB121, bitIndex2) <=> b100(bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v130(constB121, B) <=> b100(B)))) | (~less_3(bitIndex2)) | (v130(constB121, bitIndex2) <=> b100(bitIndex2)))),
% 15.28/10.56 inference(rewrite,[status(thm)],[])).
% 15.28/10.56 tff(18370,plain,
% 15.28/10.56 ((~![B: $i] : ((~less_3(B)) | (v130(constB121, B) <=> b100(B)))) | ((~less_3(bitIndex2)) | (v130(constB121, bitIndex2) <=> b100(bitIndex2)))),
% 15.28/10.56 inference(quant_inst,[status(thm)],[])).
% 15.28/10.56 tff(18371,plain,
% 15.28/10.56 ((~![B: $i] : ((~less_3(B)) | (v130(constB121, B) <=> b100(B)))) | (~less_3(bitIndex2)) | (v130(constB121, bitIndex2) <=> b100(bitIndex2))),
% 15.28/10.56 inference(modus_ponens,[status(thm)],[18370, 18369])).
% 15.28/10.56 tff(18372,plain,
% 15.28/10.56 (v130(constB121, bitIndex2) <=> b100(bitIndex2)),
% 15.28/10.56 inference(unit_resolution,[status(thm)],[18371, 413, 18368])).
% 15.28/10.56 tff(18373,plain,
% 15.28/10.56 ((~(v130(constB121, bitIndex2) <=> b100(bitIndex2))) | v130(constB121, bitIndex2) | (~b100(bitIndex2))),
% 15.28/10.56 inference(tautology,[status(thm)],[])).
% 15.28/10.56 tff(18374,plain,
% 15.28/10.56 ((~(v130(constB121, bitIndex2) <=> b100(bitIndex2))) | v130(constB121, bitIndex2)),
% 15.28/10.56 inference(unit_resolution,[status(thm)],[18373, 5209])).
% 15.28/10.56 tff(18375,plain,
% 15.28/10.56 (v130(constB121, bitIndex2)),
% 15.28/10.56 inference(unit_resolution,[status(thm)],[18374, 18372])).
% 15.28/10.56 tff(18376,plain,
% 15.28/10.56 ((~(v127(constB121, bitIndex2) <=> v130(constB121, bitIndex2))) | v127(constB121, bitIndex2) | (~v130(constB121, bitIndex2))),
% 15.28/10.56 inference(tautology,[status(thm)],[])).
% 15.28/10.56 tff(18377,plain,
% 15.28/10.56 (v127(constB121, bitIndex2)),
% 15.28/10.56 inference(unit_resolution,[status(thm)],[18376, 18375, 18363])).
% 15.28/10.56 tff(18378,plain,
% 15.28/10.56 ((~(v129(constB122, bitIndex2) <=> v127(constB121, bitIndex2))) | v129(constB122, bitIndex2) | (~v127(constB121, bitIndex2))),
% 15.28/10.56 inference(tautology,[status(thm)],[])).
% 15.28/10.56 tff(18379,plain,
% 15.28/10.56 (v129(constB122, bitIndex2)),
% 15.28/10.56 inference(unit_resolution,[status(thm)],[18378, 18377, 18355])).
% 15.28/10.56 tff(18380,plain,
% 15.28/10.56 ((~(v90(constB122, bitIndex2) <=> v129(constB122, bitIndex2))) | v90(constB122, bitIndex2) | (~v129(constB122, bitIndex2))),
% 15.28/10.56 inference(tautology,[status(thm)],[])).
% 15.28/10.56 tff(18381,plain,
% 15.28/10.56 (v90(constB122, bitIndex2)),
% 15.28/10.56 inference(unit_resolution,[status(thm)],[18380, 18379, 18347])).
% 15.28/10.56 tff(18382,plain,
% 15.28/10.56 ((~(v90(constB123, bitIndex2) <=> v90(constB122, bitIndex2))) | v90(constB123, bitIndex2) | (~v90(constB122, bitIndex2))),
% 15.28/10.56 inference(tautology,[status(thm)],[])).
% 15.28/10.56 tff(18383,plain,
% 15.28/10.56 (v90(constB123, bitIndex2)),
% 15.28/10.56 inference(unit_resolution,[status(thm)],[18382, 18381, 14851])).
% 15.28/10.56 tff(18384,plain,
% 15.28/10.56 (((~![B: $i] : ((~less_3(B)) | (v90(constB123, B) <=> v90(constB122, B)))) | ((~less_3(bitIndex0)) | (v90(constB123, bitIndex0) <=> v90(constB122, bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v90(constB123, B) <=> v90(constB122, B)))) | (~less_3(bitIndex0)) | (v90(constB123, bitIndex0) <=> v90(constB122, bitIndex0)))),
% 15.28/10.56 inference(rewrite,[status(thm)],[])).
% 15.28/10.56 tff(18385,plain,
% 15.28/10.56 ((~![B: $i] : ((~less_3(B)) | (v90(constB123, B) <=> v90(constB122, B)))) | ((~less_3(bitIndex0)) | (v90(constB123, bitIndex0) <=> v90(constB122, bitIndex0)))),
% 15.28/10.56 inference(quant_inst,[status(thm)],[])).
% 15.28/10.56 tff(18386,plain,
% 15.28/10.56 ((~![B: $i] : ((~less_3(B)) | (v90(constB123, B) <=> v90(constB122, B)))) | (~less_3(bitIndex0)) | (v90(constB123, bitIndex0) <=> v90(constB122, bitIndex0))),
% 15.28/10.56 inference(modus_ponens,[status(thm)],[18385, 18384])).
% 15.28/10.56 tff(18387,plain,
% 15.28/10.56 (v90(constB123, bitIndex0) <=> v90(constB122, bitIndex0)),
% 15.28/10.56 inference(unit_resolution,[status(thm)],[18386, 5004, 14847])).
% 15.28/10.56 tff(18388,plain,
% 15.28/10.56 (((~![B: $i] : ((~less_3(B)) | (v90(constB122, B) <=> v129(constB122, B)))) | ((~less_3(bitIndex0)) | (v90(constB122, bitIndex0) <=> v129(constB122, bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v90(constB122, B) <=> v129(constB122, B)))) | (~less_3(bitIndex0)) | (v90(constB122, bitIndex0) <=> v129(constB122, bitIndex0)))),
% 15.28/10.56 inference(rewrite,[status(thm)],[])).
% 15.28/10.56 tff(18389,plain,
% 15.28/10.56 ((~![B: $i] : ((~less_3(B)) | (v90(constB122, B) <=> v129(constB122, B)))) | ((~less_3(bitIndex0)) | (v90(constB122, bitIndex0) <=> v129(constB122, bitIndex0)))),
% 15.28/10.56 inference(quant_inst,[status(thm)],[])).
% 15.28/10.56 tff(18390,plain,
% 15.28/10.56 ((~![B: $i] : ((~less_3(B)) | (v90(constB122, B) <=> v129(constB122, B)))) | (~less_3(bitIndex0)) | (v90(constB122, bitIndex0) <=> v129(constB122, bitIndex0))),
% 15.28/10.56 inference(modus_ponens,[status(thm)],[18389, 18388])).
% 15.28/10.56 tff(18391,plain,
% 15.28/10.56 (v90(constB122, bitIndex0) <=> v129(constB122, bitIndex0)),
% 15.28/10.56 inference(unit_resolution,[status(thm)],[18390, 5004, 18343])).
% 15.28/10.56 tff(18392,plain,
% 15.28/10.56 (((~![B: $i] : ((~less_3(B)) | (v129(constB122, B) <=> v127(constB121, B)))) | ((~less_3(bitIndex0)) | (v129(constB122, bitIndex0) <=> v127(constB121, bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v129(constB122, B) <=> v127(constB121, B)))) | (~less_3(bitIndex0)) | (v129(constB122, bitIndex0) <=> v127(constB121, bitIndex0)))),
% 15.28/10.56 inference(rewrite,[status(thm)],[])).
% 15.28/10.56 tff(18393,plain,
% 15.28/10.56 ((~![B: $i] : ((~less_3(B)) | (v129(constB122, B) <=> v127(constB121, B)))) | ((~less_3(bitIndex0)) | (v129(constB122, bitIndex0) <=> v127(constB121, bitIndex0)))),
% 15.28/10.56 inference(quant_inst,[status(thm)],[])).
% 15.28/10.56 tff(18394,plain,
% 15.28/10.56 ((~![B: $i] : ((~less_3(B)) | (v129(constB122, B) <=> v127(constB121, B)))) | (~less_3(bitIndex0)) | (v129(constB122, bitIndex0) <=> v127(constB121, bitIndex0))),
% 15.28/10.56 inference(modus_ponens,[status(thm)],[18393, 18392])).
% 15.28/10.56 tff(18395,plain,
% 15.28/10.56 (v129(constB122, bitIndex0) <=> v127(constB121, bitIndex0)),
% 15.28/10.56 inference(unit_resolution,[status(thm)],[18394, 5004, 18351])).
% 15.28/10.56 tff(18396,plain,
% 15.28/10.56 (((~![B: $i] : ((~less_3(B)) | (v127(constB121, B) <=> v130(constB121, B)))) | ((~less_3(bitIndex0)) | (v127(constB121, bitIndex0) <=> v130(constB121, bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v127(constB121, B) <=> v130(constB121, B)))) | (~less_3(bitIndex0)) | (v127(constB121, bitIndex0) <=> v130(constB121, bitIndex0)))),
% 15.28/10.56 inference(rewrite,[status(thm)],[])).
% 15.28/10.56 tff(18397,plain,
% 15.28/10.56 ((~![B: $i] : ((~less_3(B)) | (v127(constB121, B) <=> v130(constB121, B)))) | ((~less_3(bitIndex0)) | (v127(constB121, bitIndex0) <=> v130(constB121, bitIndex0)))),
% 15.28/10.56 inference(quant_inst,[status(thm)],[])).
% 15.28/10.56 tff(18398,plain,
% 15.28/10.56 ((~![B: $i] : ((~less_3(B)) | (v127(constB121, B) <=> v130(constB121, B)))) | (~less_3(bitIndex0)) | (v127(constB121, bitIndex0) <=> v130(constB121, bitIndex0))),
% 15.28/10.56 inference(modus_ponens,[status(thm)],[18397, 18396])).
% 15.28/10.56 tff(18399,plain,
% 15.28/10.56 (v127(constB121, bitIndex0) <=> v130(constB121, bitIndex0)),
% 15.28/10.56 inference(unit_resolution,[status(thm)],[18398, 5004, 18359])).
% 15.28/10.56 tff(18400,plain,
% 15.28/10.56 (((~![B: $i] : ((~less_3(B)) | (v130(constB121, B) <=> b100(B)))) | ((~less_3(bitIndex0)) | (v130(constB121, bitIndex0) <=> b100(bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v130(constB121, B) <=> b100(B)))) | (~less_3(bitIndex0)) | (v130(constB121, bitIndex0) <=> b100(bitIndex0)))),
% 15.28/10.56 inference(rewrite,[status(thm)],[])).
% 15.28/10.56 tff(18401,plain,
% 15.28/10.56 ((~![B: $i] : ((~less_3(B)) | (v130(constB121, B) <=> b100(B)))) | ((~less_3(bitIndex0)) | (v130(constB121, bitIndex0) <=> b100(bitIndex0)))),
% 15.28/10.56 inference(quant_inst,[status(thm)],[])).
% 15.28/10.56 tff(18402,plain,
% 15.28/10.56 ((~![B: $i] : ((~less_3(B)) | (v130(constB121, B) <=> b100(B)))) | (~less_3(bitIndex0)) | (v130(constB121, bitIndex0) <=> b100(bitIndex0))),
% 15.28/10.56 inference(modus_ponens,[status(thm)],[18401, 18400])).
% 15.28/10.56 tff(18403,plain,
% 15.28/10.56 (v130(constB121, bitIndex0) <=> b100(bitIndex0)),
% 15.28/10.56 inference(unit_resolution,[status(thm)],[18402, 5004, 18368])).
% 15.28/10.56 tff(18404,plain,
% 15.28/10.56 ((~(v130(constB121, bitIndex0) <=> b100(bitIndex0))) | (~v130(constB121, bitIndex0)) | b100(bitIndex0)),
% 15.28/10.56 inference(tautology,[status(thm)],[])).
% 15.28/10.56 tff(18405,plain,
% 15.28/10.56 ((~(v130(constB121, bitIndex0) <=> b100(bitIndex0))) | (~v130(constB121, bitIndex0))),
% 15.28/10.56 inference(unit_resolution,[status(thm)],[18404, 5243])).
% 15.28/10.56 tff(18406,plain,
% 15.28/10.56 (~v130(constB121, bitIndex0)),
% 15.28/10.56 inference(unit_resolution,[status(thm)],[18405, 18403])).
% 15.28/10.56 tff(18407,plain,
% 15.28/10.56 ((~(v127(constB121, bitIndex0) <=> v130(constB121, bitIndex0))) | (~v127(constB121, bitIndex0)) | v130(constB121, bitIndex0)),
% 15.28/10.56 inference(tautology,[status(thm)],[])).
% 15.28/10.56 tff(18408,plain,
% 15.28/10.56 (~v127(constB121, bitIndex0)),
% 15.28/10.56 inference(unit_resolution,[status(thm)],[18407, 18406, 18399])).
% 15.28/10.56 tff(18409,plain,
% 15.36/10.56 ((~(v129(constB122, bitIndex0) <=> v127(constB121, bitIndex0))) | (~v129(constB122, bitIndex0)) | v127(constB121, bitIndex0)),
% 15.36/10.56 inference(tautology,[status(thm)],[])).
% 15.36/10.56 tff(18410,plain,
% 15.36/10.56 (~v129(constB122, bitIndex0)),
% 15.36/10.56 inference(unit_resolution,[status(thm)],[18409, 18408, 18395])).
% 15.36/10.56 tff(18411,plain,
% 15.36/10.56 ((~(v90(constB122, bitIndex0) <=> v129(constB122, bitIndex0))) | (~v90(constB122, bitIndex0)) | v129(constB122, bitIndex0)),
% 15.36/10.56 inference(tautology,[status(thm)],[])).
% 15.36/10.56 tff(18412,plain,
% 15.36/10.56 (~v90(constB122, bitIndex0)),
% 15.36/10.56 inference(unit_resolution,[status(thm)],[18411, 18410, 18391])).
% 15.36/10.56 tff(18413,plain,
% 15.36/10.56 ((~(v90(constB123, bitIndex0) <=> v90(constB122, bitIndex0))) | (~v90(constB123, bitIndex0)) | v90(constB122, bitIndex0)),
% 15.36/10.56 inference(tautology,[status(thm)],[])).
% 15.36/10.56 tff(18414,plain,
% 15.36/10.56 (~v90(constB123, bitIndex0)),
% 15.36/10.56 inference(unit_resolution,[status(thm)],[18413, 18412, 18387])).
% 15.36/10.56 tff(18415,plain,
% 15.36/10.56 (((~![B: $i] : ((~less_3(B)) | (v90(constB123, B) <=> v90(constB122, B)))) | ((~less_3(bitIndex1)) | (v90(constB123, bitIndex1) <=> v90(constB122, bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v90(constB123, B) <=> v90(constB122, B)))) | (~less_3(bitIndex1)) | (v90(constB123, bitIndex1) <=> v90(constB122, bitIndex1)))),
% 15.36/10.56 inference(rewrite,[status(thm)],[])).
% 15.36/10.56 tff(18416,plain,
% 15.36/10.56 ((~![B: $i] : ((~less_3(B)) | (v90(constB123, B) <=> v90(constB122, B)))) | ((~less_3(bitIndex1)) | (v90(constB123, bitIndex1) <=> v90(constB122, bitIndex1)))),
% 15.36/10.56 inference(quant_inst,[status(thm)],[])).
% 15.36/10.56 tff(18417,plain,
% 15.36/10.56 ((~![B: $i] : ((~less_3(B)) | (v90(constB123, B) <=> v90(constB122, B)))) | (~less_3(bitIndex1)) | (v90(constB123, bitIndex1) <=> v90(constB122, bitIndex1))),
% 15.36/10.56 inference(modus_ponens,[status(thm)],[18416, 18415])).
% 15.36/10.56 tff(18418,plain,
% 15.36/10.56 (v90(constB123, bitIndex1) <=> v90(constB122, bitIndex1)),
% 15.36/10.56 inference(unit_resolution,[status(thm)],[18417, 5017, 14847])).
% 15.36/10.56 tff(18419,plain,
% 15.36/10.56 (((~![B: $i] : ((~less_3(B)) | (v90(constB122, B) <=> v129(constB122, B)))) | ((~less_3(bitIndex1)) | (v90(constB122, bitIndex1) <=> v129(constB122, bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v90(constB122, B) <=> v129(constB122, B)))) | (~less_3(bitIndex1)) | (v90(constB122, bitIndex1) <=> v129(constB122, bitIndex1)))),
% 15.36/10.56 inference(rewrite,[status(thm)],[])).
% 15.36/10.56 tff(18420,plain,
% 15.36/10.56 ((~![B: $i] : ((~less_3(B)) | (v90(constB122, B) <=> v129(constB122, B)))) | ((~less_3(bitIndex1)) | (v90(constB122, bitIndex1) <=> v129(constB122, bitIndex1)))),
% 15.36/10.56 inference(quant_inst,[status(thm)],[])).
% 15.36/10.56 tff(18421,plain,
% 15.36/10.56 ((~![B: $i] : ((~less_3(B)) | (v90(constB122, B) <=> v129(constB122, B)))) | (~less_3(bitIndex1)) | (v90(constB122, bitIndex1) <=> v129(constB122, bitIndex1))),
% 15.36/10.56 inference(modus_ponens,[status(thm)],[18420, 18419])).
% 15.36/10.56 tff(18422,plain,
% 15.36/10.56 (v90(constB122, bitIndex1) <=> v129(constB122, bitIndex1)),
% 15.36/10.56 inference(unit_resolution,[status(thm)],[18421, 5017, 18343])).
% 15.36/10.56 tff(18423,plain,
% 15.36/10.56 (((~![B: $i] : ((~less_3(B)) | (v129(constB122, B) <=> v127(constB121, B)))) | ((~less_3(bitIndex1)) | (v129(constB122, bitIndex1) <=> v127(constB121, bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v129(constB122, B) <=> v127(constB121, B)))) | (~less_3(bitIndex1)) | (v129(constB122, bitIndex1) <=> v127(constB121, bitIndex1)))),
% 15.36/10.56 inference(rewrite,[status(thm)],[])).
% 15.36/10.56 tff(18424,plain,
% 15.36/10.56 ((~![B: $i] : ((~less_3(B)) | (v129(constB122, B) <=> v127(constB121, B)))) | ((~less_3(bitIndex1)) | (v129(constB122, bitIndex1) <=> v127(constB121, bitIndex1)))),
% 15.36/10.56 inference(quant_inst,[status(thm)],[])).
% 15.36/10.56 tff(18425,plain,
% 15.36/10.56 ((~![B: $i] : ((~less_3(B)) | (v129(constB122, B) <=> v127(constB121, B)))) | (~less_3(bitIndex1)) | (v129(constB122, bitIndex1) <=> v127(constB121, bitIndex1))),
% 15.36/10.56 inference(modus_ponens,[status(thm)],[18424, 18423])).
% 15.36/10.56 tff(18426,plain,
% 15.36/10.56 (v129(constB122, bitIndex1) <=> v127(constB121, bitIndex1)),
% 15.36/10.56 inference(unit_resolution,[status(thm)],[18425, 5017, 18351])).
% 15.36/10.56 tff(18427,plain,
% 15.36/10.56 (((~![B: $i] : ((~less_3(B)) | (v127(constB121, B) <=> v130(constB121, B)))) | ((~less_3(bitIndex1)) | (v127(constB121, bitIndex1) <=> v130(constB121, bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v127(constB121, B) <=> v130(constB121, B)))) | (~less_3(bitIndex1)) | (v127(constB121, bitIndex1) <=> v130(constB121, bitIndex1)))),
% 15.36/10.56 inference(rewrite,[status(thm)],[])).
% 15.36/10.56 tff(18428,plain,
% 15.36/10.56 ((~![B: $i] : ((~less_3(B)) | (v127(constB121, B) <=> v130(constB121, B)))) | ((~less_3(bitIndex1)) | (v127(constB121, bitIndex1) <=> v130(constB121, bitIndex1)))),
% 15.36/10.56 inference(quant_inst,[status(thm)],[])).
% 15.36/10.56 tff(18429,plain,
% 15.36/10.56 ((~![B: $i] : ((~less_3(B)) | (v127(constB121, B) <=> v130(constB121, B)))) | (~less_3(bitIndex1)) | (v127(constB121, bitIndex1) <=> v130(constB121, bitIndex1))),
% 15.36/10.56 inference(modus_ponens,[status(thm)],[18428, 18427])).
% 15.36/10.56 tff(18430,plain,
% 15.36/10.56 (v127(constB121, bitIndex1) <=> v130(constB121, bitIndex1)),
% 15.36/10.56 inference(unit_resolution,[status(thm)],[18429, 5017, 18359])).
% 15.36/10.56 tff(18431,plain,
% 15.36/10.56 (((~![B: $i] : ((~less_3(B)) | (v130(constB121, B) <=> b100(B)))) | ((~less_3(bitIndex1)) | (v130(constB121, bitIndex1) <=> b100(bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v130(constB121, B) <=> b100(B)))) | (~less_3(bitIndex1)) | (v130(constB121, bitIndex1) <=> b100(bitIndex1)))),
% 15.36/10.56 inference(rewrite,[status(thm)],[])).
% 15.36/10.56 tff(18432,plain,
% 15.36/10.56 ((~![B: $i] : ((~less_3(B)) | (v130(constB121, B) <=> b100(B)))) | ((~less_3(bitIndex1)) | (v130(constB121, bitIndex1) <=> b100(bitIndex1)))),
% 15.36/10.56 inference(quant_inst,[status(thm)],[])).
% 15.36/10.56 tff(18433,plain,
% 15.36/10.56 ((~![B: $i] : ((~less_3(B)) | (v130(constB121, B) <=> b100(B)))) | (~less_3(bitIndex1)) | (v130(constB121, bitIndex1) <=> b100(bitIndex1))),
% 15.36/10.56 inference(modus_ponens,[status(thm)],[18432, 18431])).
% 15.36/10.56 tff(18434,plain,
% 15.36/10.56 (v130(constB121, bitIndex1) <=> b100(bitIndex1)),
% 15.36/10.56 inference(unit_resolution,[status(thm)],[18433, 5017, 18368])).
% 15.36/10.56 tff(18435,plain,
% 15.36/10.56 ((~(v130(constB121, bitIndex1) <=> b100(bitIndex1))) | (~v130(constB121, bitIndex1)) | b100(bitIndex1)),
% 15.36/10.56 inference(tautology,[status(thm)],[])).
% 15.36/10.56 tff(18436,plain,
% 15.36/10.56 ((~(v130(constB121, bitIndex1) <=> b100(bitIndex1))) | (~v130(constB121, bitIndex1))),
% 15.36/10.57 inference(unit_resolution,[status(thm)],[18435, 5277])).
% 15.36/10.57 tff(18437,plain,
% 15.36/10.57 (~v130(constB121, bitIndex1)),
% 15.36/10.57 inference(unit_resolution,[status(thm)],[18436, 18434])).
% 15.36/10.57 tff(18438,plain,
% 15.36/10.57 ((~(v127(constB121, bitIndex1) <=> v130(constB121, bitIndex1))) | (~v127(constB121, bitIndex1)) | v130(constB121, bitIndex1)),
% 15.36/10.57 inference(tautology,[status(thm)],[])).
% 15.36/10.57 tff(18439,plain,
% 15.36/10.57 (~v127(constB121, bitIndex1)),
% 15.36/10.57 inference(unit_resolution,[status(thm)],[18438, 18437, 18430])).
% 15.36/10.57 tff(18440,plain,
% 15.36/10.57 ((~(v129(constB122, bitIndex1) <=> v127(constB121, bitIndex1))) | (~v129(constB122, bitIndex1)) | v127(constB121, bitIndex1)),
% 15.36/10.57 inference(tautology,[status(thm)],[])).
% 15.36/10.57 tff(18441,plain,
% 15.36/10.57 (~v129(constB122, bitIndex1)),
% 15.36/10.57 inference(unit_resolution,[status(thm)],[18440, 18439, 18426])).
% 15.36/10.57 tff(18442,plain,
% 15.36/10.57 ((~(v90(constB122, bitIndex1) <=> v129(constB122, bitIndex1))) | (~v90(constB122, bitIndex1)) | v129(constB122, bitIndex1)),
% 15.36/10.57 inference(tautology,[status(thm)],[])).
% 15.36/10.57 tff(18443,plain,
% 15.36/10.57 (~v90(constB122, bitIndex1)),
% 15.36/10.57 inference(unit_resolution,[status(thm)],[18442, 18441, 18422])).
% 15.36/10.57 tff(18444,plain,
% 15.36/10.57 ((~(v90(constB123, bitIndex1) <=> v90(constB122, bitIndex1))) | (~v90(constB123, bitIndex1)) | v90(constB122, bitIndex1)),
% 15.36/10.57 inference(tautology,[status(thm)],[])).
% 15.36/10.57 tff(18445,plain,
% 15.36/10.57 (~v90(constB123, bitIndex1)),
% 15.36/10.57 inference(unit_resolution,[status(thm)],[18444, 18443, 18418])).
% 15.36/10.57 tff(18446,plain,
% 15.36/10.57 ((~((~v90(constB123, bitIndex2)) | v90(constB123, bitIndex1) | v90(constB123, bitIndex0))) | (~v90(constB123, bitIndex2)) | v90(constB123, bitIndex1) | v90(constB123, bitIndex0)),
% 15.36/10.57 inference(tautology,[status(thm)],[])).
% 15.36/10.57 tff(18447,plain,
% 15.36/10.57 (~((~v90(constB123, bitIndex2)) | v90(constB123, bitIndex1) | v90(constB123, bitIndex0))),
% 15.36/10.57 inference(unit_resolution,[status(thm)],[18446, 18445, 18414, 18383])).
% 15.36/10.57 tff(18448,plain,
% 15.36/10.57 ((~(v123(constB123) <=> (~((~v90(constB123, bitIndex2)) | v90(constB123, bitIndex1) | v90(constB123, bitIndex0))))) | v123(constB123) | ((~v90(constB123, bitIndex2)) | v90(constB123, bitIndex1) | v90(constB123, bitIndex0))),
% 15.36/10.57 inference(tautology,[status(thm)],[])).
% 15.36/10.57 tff(18449,plain,
% 15.36/10.57 (v123(constB123)),
% 15.36/10.57 inference(unit_resolution,[status(thm)],[18448, 18447, 14819])).
% 15.36/10.57 tff(18450,plain,
% 15.36/10.57 ((v116(constB123) | v123(constB123)) | (~v123(constB123))),
% 15.36/10.57 inference(tautology,[status(thm)],[])).
% 15.36/10.57 tff(18451,plain,
% 15.36/10.57 (v116(constB123) | v123(constB123)),
% 15.36/10.57 inference(unit_resolution,[status(thm)],[18450, 18449])).
% 15.36/10.57 tff(18452,plain,
% 15.36/10.57 ((~(v115(constB123) <=> (v116(constB123) | v123(constB123)))) | v115(constB123) | (~(v116(constB123) | v123(constB123)))),
% 15.36/10.57 inference(tautology,[status(thm)],[])).
% 15.36/10.57 tff(18453,plain,
% 15.36/10.57 (v115(constB123)),
% 15.36/10.57 inference(unit_resolution,[status(thm)],[18452, 18451, 14812])).
% 15.36/10.57 tff(18454,plain,
% 15.36/10.57 ((v115(constB123) | v124(constB123)) | (~v115(constB123))),
% 15.36/10.57 inference(tautology,[status(thm)],[])).
% 15.36/10.57 tff(18455,plain,
% 15.36/10.57 (v115(constB123) | v124(constB123)),
% 15.36/10.57 inference(unit_resolution,[status(thm)],[18454, 18453])).
% 15.36/10.57 tff(18456,plain,
% 15.36/10.57 ((~(v114(constB123) <=> (v115(constB123) | v124(constB123)))) | v114(constB123) | (~(v115(constB123) | v124(constB123)))),
% 15.36/10.57 inference(tautology,[status(thm)],[])).
% 15.36/10.57 tff(18457,plain,
% 15.36/10.57 (v114(constB123)),
% 15.36/10.57 inference(unit_resolution,[status(thm)],[18456, 18455, 14810])).
% 15.36/10.57 tff(18458,plain,
% 15.36/10.57 ((v114(constB123) | v125(constB123)) | (~v114(constB123))),
% 15.36/10.57 inference(tautology,[status(thm)],[])).
% 15.36/10.57 tff(18459,plain,
% 15.36/10.57 (v114(constB123) | v125(constB123)),
% 15.36/10.57 inference(unit_resolution,[status(thm)],[18458, 18457])).
% 15.36/10.57 tff(18460,plain,
% 15.36/10.57 ((~(v113(constB123) <=> (v114(constB123) | v125(constB123)))) | v113(constB123) | (~(v114(constB123) | v125(constB123)))),
% 15.36/10.57 inference(tautology,[status(thm)],[])).
% 15.36/10.57 tff(18461,plain,
% 15.36/10.57 (v113(constB123)),
% 15.36/10.57 inference(unit_resolution,[status(thm)],[18460, 18459, 14808])).
% 15.36/10.57 tff(18462,plain,
% 15.36/10.57 ((~![VarCurr: $i] : ((~v126(VarCurr)) <=> v111(VarCurr))) | ((~v126(constB123)) <=> v111(constB123))),
% 15.36/10.57 inference(quant_inst,[status(thm)],[])).
% 15.36/10.57 tff(18463,plain,
% 15.36/10.57 ((~v126(constB123)) <=> v111(constB123)),
% 15.36/10.57 inference(unit_resolution,[status(thm)],[18462, 5074])).
% 15.36/10.57 tff(18464,plain,
% 15.36/10.57 ((~![VarCurr: $i] : (v111(VarCurr) <=> v26(VarCurr))) | (v111(constB123) <=> v26(constB123))),
% 15.36/10.57 inference(quant_inst,[status(thm)],[])).
% 15.36/10.57 tff(18465,plain,
% 15.36/10.57 (v111(constB123) <=> v26(constB123)),
% 15.36/10.57 inference(unit_resolution,[status(thm)],[18464, 5086])).
% 15.36/10.57 tff(18466,plain,
% 15.36/10.57 ((~![VarCurr: $i] : (~v26(VarCurr))) | (~v26(constB123))),
% 15.36/10.57 inference(quant_inst,[status(thm)],[])).
% 15.36/10.57 tff(18467,plain,
% 15.36/10.57 (~v26(constB123)),
% 15.36/10.57 inference(unit_resolution,[status(thm)],[18466, 5098])).
% 15.36/10.57 tff(18468,plain,
% 15.36/10.57 ((~(v111(constB123) <=> v26(constB123))) | (~v111(constB123)) | v26(constB123)),
% 15.36/10.57 inference(tautology,[status(thm)],[])).
% 15.36/10.57 tff(18469,plain,
% 15.36/10.57 ((~(v111(constB123) <=> v26(constB123))) | (~v111(constB123))),
% 15.36/10.57 inference(unit_resolution,[status(thm)],[18468, 18467])).
% 15.36/10.57 tff(18470,plain,
% 15.36/10.57 (~v111(constB123)),
% 15.36/10.57 inference(unit_resolution,[status(thm)],[18469, 18465])).
% 15.36/10.57 tff(18471,plain,
% 15.36/10.57 ((~((~v126(constB123)) <=> v111(constB123))) | v126(constB123) | v111(constB123)),
% 15.36/10.57 inference(tautology,[status(thm)],[])).
% 15.36/10.57 tff(18472,plain,
% 15.36/10.57 ((~((~v126(constB123)) <=> v111(constB123))) | v126(constB123)),
% 15.36/10.57 inference(unit_resolution,[status(thm)],[18471, 18470])).
% 15.36/10.57 tff(18473,plain,
% 15.36/10.57 (v126(constB123)),
% 15.36/10.57 inference(unit_resolution,[status(thm)],[18472, 18463])).
% 15.36/10.57 tff(18474,plain,
% 15.36/10.57 ((~((~v113(constB123)) | (~v126(constB123)))) | (~v113(constB123)) | (~v126(constB123))),
% 15.36/10.57 inference(tautology,[status(thm)],[])).
% 15.36/10.57 tff(18475,plain,
% 15.36/10.57 ((~((~v113(constB123)) | (~v126(constB123)))) | (~v113(constB123))),
% 15.36/10.57 inference(unit_resolution,[status(thm)],[18474, 18473])).
% 15.36/10.57 tff(18476,plain,
% 15.36/10.57 (~((~v113(constB123)) | (~v126(constB123)))),
% 15.36/10.57 inference(unit_resolution,[status(thm)],[18475, 18461])).
% 15.36/10.57 tff(18477,plain,
% 15.36/10.57 ((~(v112(constB123) <=> (~((~v113(constB123)) | (~v126(constB123)))))) | v112(constB123) | ((~v113(constB123)) | (~v126(constB123)))),
% 15.36/10.57 inference(tautology,[status(thm)],[])).
% 15.36/10.57 tff(18478,plain,
% 15.36/10.57 (v112(constB123)),
% 15.36/10.57 inference(unit_resolution,[status(thm)],[18477, 18476, 14806])).
% 15.36/10.57 tff(18479,plain,
% 15.36/10.57 ((v111(constB123) | v112(constB123)) | (~v112(constB123))),
% 15.36/10.57 inference(tautology,[status(thm)],[])).
% 15.36/10.57 tff(18480,plain,
% 15.36/10.57 (v111(constB123) | v112(constB123)),
% 15.36/10.57 inference(unit_resolution,[status(thm)],[18479, 18478])).
% 15.36/10.57 tff(18481,plain,
% 15.36/10.57 ((~(v108(constB123) <=> (v111(constB123) | v112(constB123)))) | v108(constB123) | (~(v111(constB123) | v112(constB123)))),
% 15.36/10.57 inference(tautology,[status(thm)],[])).
% 15.36/10.57 tff(18482,plain,
% 15.36/10.57 (v108(constB123)),
% 15.36/10.57 inference(unit_resolution,[status(thm)],[18481, 18480, 14804])).
% 15.36/10.57 tff(18483,plain,
% 15.36/10.57 ((~(v110(constB124) <=> v108(constB123))) | v110(constB124) | (~v108(constB123))),
% 15.36/10.57 inference(tautology,[status(thm)],[])).
% 15.36/10.57 tff(18484,plain,
% 15.36/10.57 (v110(constB124)),
% 15.36/10.57 inference(unit_resolution,[status(thm)],[18483, 18482, 14802])).
% 15.36/10.57 tff(18485,plain,
% 15.36/10.57 ((~((~v101(constB124)) | (~v110(constB124)))) | (~v101(constB124)) | (~v110(constB124))),
% 15.36/10.57 inference(tautology,[status(thm)],[])).
% 15.36/10.57 tff(18486,plain,
% 15.36/10.57 (~((~v101(constB124)) | (~v110(constB124)))),
% 15.36/10.57 inference(unit_resolution,[status(thm)],[18485, 18484, 14798])).
% 15.36/10.57 tff(18487,plain,
% 15.36/10.57 ((~(v100(constB124) <=> (~((~v101(constB124)) | (~v110(constB124)))))) | v100(constB124) | ((~v101(constB124)) | (~v110(constB124)))),
% 15.36/10.57 inference(tautology,[status(thm)],[])).
% 15.36/10.57 tff(18488,plain,
% 15.36/10.57 (v100(constB124)),
% 15.36/10.57 inference(unit_resolution,[status(thm)],[18487, 18486, 14767])).
% 15.36/10.57 tff(18489,plain,
% 15.36/10.57 (((~![VarNext: $i] : ((~v100(VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v129(VarNext, B))))) | ((~v100(constB124)) | ![B: $i] : ((~less_3(B)) | (v90(constB124, B) <=> v129(constB124, B))))) <=> ((~![VarNext: $i] : ((~v100(VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v129(VarNext, B))))) | (~v100(constB124)) | ![B: $i] : ((~less_3(B)) | (v90(constB124, B) <=> v129(constB124, B))))),
% 15.36/10.57 inference(rewrite,[status(thm)],[])).
% 15.36/10.57 tff(18490,plain,
% 15.36/10.57 ((~![VarNext: $i] : ((~v100(VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v129(VarNext, B))))) | ((~v100(constB124)) | ![B: $i] : ((~less_3(B)) | (v90(constB124, B) <=> v129(constB124, B))))),
% 15.36/10.57 inference(quant_inst,[status(thm)],[])).
% 15.36/10.57 tff(18491,plain,
% 15.36/10.57 ((~![VarNext: $i] : ((~v100(VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v129(VarNext, B))))) | (~v100(constB124)) | ![B: $i] : ((~less_3(B)) | (v90(constB124, B) <=> v129(constB124, B)))),
% 15.36/10.57 inference(modus_ponens,[status(thm)],[18490, 18489])).
% 15.36/10.57 tff(18492,plain,
% 15.36/10.57 ((~v100(constB124)) | ![B: $i] : ((~less_3(B)) | (v90(constB124, B) <=> v129(constB124, B)))),
% 15.36/10.57 inference(unit_resolution,[status(thm)],[18491, 5134])).
% 15.36/10.57 tff(18493,plain,
% 15.36/10.57 (![B: $i] : ((~less_3(B)) | (v90(constB124, B) <=> v129(constB124, B)))),
% 15.36/10.57 inference(unit_resolution,[status(thm)],[18492, 18488])).
% 15.36/10.57 tff(18494,plain,
% 15.36/10.57 (((~![B: $i] : ((~less_3(B)) | (v90(constB124, B) <=> v129(constB124, B)))) | ((~less_3(bitIndex2)) | (v90(constB124, bitIndex2) <=> v129(constB124, bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v90(constB124, B) <=> v129(constB124, B)))) | (~less_3(bitIndex2)) | (v90(constB124, bitIndex2) <=> v129(constB124, bitIndex2)))),
% 15.36/10.57 inference(rewrite,[status(thm)],[])).
% 15.36/10.57 tff(18495,plain,
% 15.36/10.57 ((~![B: $i] : ((~less_3(B)) | (v90(constB124, B) <=> v129(constB124, B)))) | ((~less_3(bitIndex2)) | (v90(constB124, bitIndex2) <=> v129(constB124, bitIndex2)))),
% 15.36/10.57 inference(quant_inst,[status(thm)],[])).
% 15.36/10.57 tff(18496,plain,
% 15.36/10.57 ((~![B: $i] : ((~less_3(B)) | (v90(constB124, B) <=> v129(constB124, B)))) | (~less_3(bitIndex2)) | (v90(constB124, bitIndex2) <=> v129(constB124, bitIndex2))),
% 15.36/10.57 inference(modus_ponens,[status(thm)],[18495, 18494])).
% 15.36/10.57 tff(18497,plain,
% 15.36/10.57 (v90(constB124, bitIndex2) <=> v129(constB124, bitIndex2)),
% 15.36/10.57 inference(unit_resolution,[status(thm)],[18496, 413, 18493])).
% 15.36/10.57 tff(18498,plain,
% 15.36/10.57 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v129(VarNext, B) <=> v127(VarCurr, B))))) | ((~nextState(constB123, constB124)) | ![B: $i] : ((~less_3(B)) | (v129(constB124, B) <=> v127(constB123, B))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v129(VarNext, B) <=> v127(VarCurr, B))))) | (~nextState(constB123, constB124)) | ![B: $i] : ((~less_3(B)) | (v129(constB124, B) <=> v127(constB123, B))))),
% 15.36/10.57 inference(rewrite,[status(thm)],[])).
% 15.36/10.57 tff(18499,plain,
% 15.36/10.57 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v129(VarNext, B) <=> v127(VarCurr, B))))) | ((~nextState(constB123, constB124)) | ![B: $i] : ((~less_3(B)) | (v129(constB124, B) <=> v127(constB123, B))))),
% 15.36/10.57 inference(quant_inst,[status(thm)],[])).
% 15.36/10.57 tff(18500,plain,
% 15.36/10.57 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v129(VarNext, B) <=> v127(VarCurr, B))))) | (~nextState(constB123, constB124)) | ![B: $i] : ((~less_3(B)) | (v129(constB124, B) <=> v127(constB123, B)))),
% 15.36/10.57 inference(modus_ponens,[status(thm)],[18499, 18498])).
% 15.36/10.57 tff(18501,plain,
% 15.36/10.57 (![B: $i] : ((~less_3(B)) | (v129(constB124, B) <=> v127(constB123, B)))),
% 15.36/10.57 inference(unit_resolution,[status(thm)],[18500, 14763, 5156])).
% 15.36/10.57 tff(18502,plain,
% 15.36/10.57 (((~![B: $i] : ((~less_3(B)) | (v129(constB124, B) <=> v127(constB123, B)))) | ((~less_3(bitIndex2)) | (v129(constB124, bitIndex2) <=> v127(constB123, bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v129(constB124, B) <=> v127(constB123, B)))) | (~less_3(bitIndex2)) | (v129(constB124, bitIndex2) <=> v127(constB123, bitIndex2)))),
% 15.36/10.57 inference(rewrite,[status(thm)],[])).
% 15.36/10.57 tff(18503,plain,
% 15.36/10.57 ((~![B: $i] : ((~less_3(B)) | (v129(constB124, B) <=> v127(constB123, B)))) | ((~less_3(bitIndex2)) | (v129(constB124, bitIndex2) <=> v127(constB123, bitIndex2)))),
% 15.36/10.57 inference(quant_inst,[status(thm)],[])).
% 15.36/10.57 tff(18504,plain,
% 15.36/10.57 ((~![B: $i] : ((~less_3(B)) | (v129(constB124, B) <=> v127(constB123, B)))) | (~less_3(bitIndex2)) | (v129(constB124, bitIndex2) <=> v127(constB123, bitIndex2))),
% 15.36/10.57 inference(modus_ponens,[status(thm)],[18503, 18502])).
% 15.36/10.57 tff(18505,plain,
% 15.36/10.57 (v129(constB124, bitIndex2) <=> v127(constB123, bitIndex2)),
% 15.36/10.57 inference(unit_resolution,[status(thm)],[18504, 413, 18501])).
% 15.36/10.57 tff(18506,plain,
% 15.36/10.57 (((~![VarCurr: $i] : (v111(VarCurr) | ![B: $i] : ((~less_3(B)) | (v127(VarCurr, B) <=> v130(VarCurr, B))))) | (v111(constB123) | ![B: $i] : ((~less_3(B)) | (v127(constB123, B) <=> v130(constB123, B))))) <=> ((~![VarCurr: $i] : (v111(VarCurr) | ![B: $i] : ((~less_3(B)) | (v127(VarCurr, B) <=> v130(VarCurr, B))))) | v111(constB123) | ![B: $i] : ((~less_3(B)) | (v127(constB123, B) <=> v130(constB123, B))))),
% 15.36/10.57 inference(rewrite,[status(thm)],[])).
% 15.36/10.57 tff(18507,plain,
% 15.36/10.57 ((~![VarCurr: $i] : (v111(VarCurr) | ![B: $i] : ((~less_3(B)) | (v127(VarCurr, B) <=> v130(VarCurr, B))))) | (v111(constB123) | ![B: $i] : ((~less_3(B)) | (v127(constB123, B) <=> v130(constB123, B))))),
% 15.36/10.57 inference(quant_inst,[status(thm)],[])).
% 15.36/10.57 tff(18508,plain,
% 15.36/10.57 ((~![VarCurr: $i] : (v111(VarCurr) | ![B: $i] : ((~less_3(B)) | (v127(VarCurr, B) <=> v130(VarCurr, B))))) | v111(constB123) | ![B: $i] : ((~less_3(B)) | (v127(constB123, B) <=> v130(constB123, B)))),
% 15.36/10.57 inference(modus_ponens,[status(thm)],[18507, 18506])).
% 15.36/10.57 tff(18509,plain,
% 15.36/10.57 (![B: $i] : ((~less_3(B)) | (v127(constB123, B) <=> v130(constB123, B)))),
% 15.36/10.57 inference(unit_resolution,[status(thm)],[18508, 5177, 18470])).
% 15.36/10.57 tff(18510,plain,
% 15.36/10.57 (((~![B: $i] : ((~less_3(B)) | (v127(constB123, B) <=> v130(constB123, B)))) | ((~less_3(bitIndex2)) | (v127(constB123, bitIndex2) <=> v130(constB123, bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v127(constB123, B) <=> v130(constB123, B)))) | (~less_3(bitIndex2)) | (v127(constB123, bitIndex2) <=> v130(constB123, bitIndex2)))),
% 15.36/10.57 inference(rewrite,[status(thm)],[])).
% 15.36/10.57 tff(18511,plain,
% 15.36/10.57 ((~![B: $i] : ((~less_3(B)) | (v127(constB123, B) <=> v130(constB123, B)))) | ((~less_3(bitIndex2)) | (v127(constB123, bitIndex2) <=> v130(constB123, bitIndex2)))),
% 15.36/10.57 inference(quant_inst,[status(thm)],[])).
% 15.36/10.57 tff(18512,plain,
% 15.36/10.57 ((~![B: $i] : ((~less_3(B)) | (v127(constB123, B) <=> v130(constB123, B)))) | (~less_3(bitIndex2)) | (v127(constB123, bitIndex2) <=> v130(constB123, bitIndex2))),
% 15.36/10.57 inference(modus_ponens,[status(thm)],[18511, 18510])).
% 15.36/10.57 tff(18513,plain,
% 15.36/10.57 (v127(constB123, bitIndex2) <=> v130(constB123, bitIndex2)),
% 15.36/10.57 inference(unit_resolution,[status(thm)],[18512, 413, 18509])).
% 15.36/10.57 tff(18514,plain,
% 15.36/10.57 (((~![VarCurr: $i] : ((~v123(VarCurr)) | ![B: $i] : ((~less_3(B)) | (v130(VarCurr, B) <=> b110(B))))) | ((~v123(constB123)) | ![B: $i] : ((~less_3(B)) | (v130(constB123, B) <=> b110(B))))) <=> ((~![VarCurr: $i] : ((~v123(VarCurr)) | ![B: $i] : ((~less_3(B)) | (v130(VarCurr, B) <=> b110(B))))) | (~v123(constB123)) | ![B: $i] : ((~less_3(B)) | (v130(constB123, B) <=> b110(B))))),
% 15.36/10.57 inference(rewrite,[status(thm)],[])).
% 15.36/10.57 tff(18515,plain,
% 15.36/10.57 ((~![VarCurr: $i] : ((~v123(VarCurr)) | ![B: $i] : ((~less_3(B)) | (v130(VarCurr, B) <=> b110(B))))) | ((~v123(constB123)) | ![B: $i] : ((~less_3(B)) | (v130(constB123, B) <=> b110(B))))),
% 15.36/10.57 inference(quant_inst,[status(thm)],[])).
% 15.36/10.57 tff(18516,plain,
% 15.36/10.57 ((~![VarCurr: $i] : ((~v123(VarCurr)) | ![B: $i] : ((~less_3(B)) | (v130(VarCurr, B) <=> b110(B))))) | (~v123(constB123)) | ![B: $i] : ((~less_3(B)) | (v130(constB123, B) <=> b110(B)))),
% 15.36/10.57 inference(modus_ponens,[status(thm)],[18515, 18514])).
% 15.36/10.57 tff(18517,plain,
% 15.36/10.57 ((~v123(constB123)) | ![B: $i] : ((~less_3(B)) | (v130(constB123, B) <=> b110(B)))),
% 15.36/10.57 inference(unit_resolution,[status(thm)],[18516, 5369])).
% 15.36/10.57 tff(18518,plain,
% 15.36/10.57 (![B: $i] : ((~less_3(B)) | (v130(constB123, B) <=> b110(B)))),
% 15.36/10.57 inference(unit_resolution,[status(thm)],[18517, 18449])).
% 15.36/10.57 tff(18519,plain,
% 15.36/10.57 (((~![B: $i] : ((~less_3(B)) | (v130(constB123, B) <=> b110(B)))) | ((~less_3(bitIndex2)) | (v130(constB123, bitIndex2) <=> b110(bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v130(constB123, B) <=> b110(B)))) | (~less_3(bitIndex2)) | (v130(constB123, bitIndex2) <=> b110(bitIndex2)))),
% 15.36/10.57 inference(rewrite,[status(thm)],[])).
% 15.36/10.57 tff(18520,plain,
% 15.36/10.57 ((~![B: $i] : ((~less_3(B)) | (v130(constB123, B) <=> b110(B)))) | ((~less_3(bitIndex2)) | (v130(constB123, bitIndex2) <=> b110(bitIndex2)))),
% 15.36/10.57 inference(quant_inst,[status(thm)],[])).
% 15.36/10.57 tff(18521,plain,
% 15.36/10.57 ((~![B: $i] : ((~less_3(B)) | (v130(constB123, B) <=> b110(B)))) | (~less_3(bitIndex2)) | (v130(constB123, bitIndex2) <=> b110(bitIndex2))),
% 15.36/10.57 inference(modus_ponens,[status(thm)],[18520, 18519])).
% 15.36/10.57 tff(18522,plain,
% 15.36/10.57 (v130(constB123, bitIndex2) <=> b110(bitIndex2)),
% 15.36/10.57 inference(unit_resolution,[status(thm)],[18521, 413, 18518])).
% 15.36/10.57 tff(18523,plain,
% 15.36/10.57 ((~(v130(constB123, bitIndex2) <=> b110(bitIndex2))) | v130(constB123, bitIndex2) | (~b110(bitIndex2))),
% 15.36/10.57 inference(tautology,[status(thm)],[])).
% 15.36/10.57 tff(18524,plain,
% 15.36/10.57 ((~(v130(constB123, bitIndex2) <=> b110(bitIndex2))) | v130(constB123, bitIndex2)),
% 15.36/10.57 inference(unit_resolution,[status(thm)],[18523, 5381])).
% 15.36/10.57 tff(18525,plain,
% 15.36/10.57 (v130(constB123, bitIndex2)),
% 15.36/10.57 inference(unit_resolution,[status(thm)],[18524, 18522])).
% 15.36/10.57 tff(18526,plain,
% 15.36/10.57 ((~(v127(constB123, bitIndex2) <=> v130(constB123, bitIndex2))) | v127(constB123, bitIndex2) | (~v130(constB123, bitIndex2))),
% 15.36/10.57 inference(tautology,[status(thm)],[])).
% 15.36/10.57 tff(18527,plain,
% 15.36/10.57 (v127(constB123, bitIndex2)),
% 15.36/10.57 inference(unit_resolution,[status(thm)],[18526, 18525, 18513])).
% 15.36/10.57 tff(18528,plain,
% 15.36/10.57 ((~(v129(constB124, bitIndex2) <=> v127(constB123, bitIndex2))) | v129(constB124, bitIndex2) | (~v127(constB123, bitIndex2))),
% 15.36/10.57 inference(tautology,[status(thm)],[])).
% 15.36/10.57 tff(18529,plain,
% 15.36/10.57 (v129(constB124, bitIndex2)),
% 15.36/10.57 inference(unit_resolution,[status(thm)],[18528, 18527, 18505])).
% 15.36/10.57 tff(18530,plain,
% 15.36/10.57 ((~(v90(constB124, bitIndex2) <=> v129(constB124, bitIndex2))) | v90(constB124, bitIndex2) | (~v129(constB124, bitIndex2))),
% 15.36/10.57 inference(tautology,[status(thm)],[])).
% 15.36/10.57 tff(18531,plain,
% 15.36/10.57 (v90(constB124, bitIndex2)),
% 15.36/10.57 inference(unit_resolution,[status(thm)],[18530, 18529, 18497])).
% 15.36/10.57 tff(18532,plain,
% 15.36/10.57 ((~(v90(constB125, bitIndex2) <=> v90(constB124, bitIndex2))) | v90(constB125, bitIndex2) | (~v90(constB124, bitIndex2))),
% 15.36/10.57 inference(tautology,[status(thm)],[])).
% 15.36/10.57 tff(18533,plain,
% 15.36/10.57 (v90(constB125, bitIndex2)),
% 15.36/10.57 inference(unit_resolution,[status(thm)],[18532, 18531, 14760])).
% 15.36/10.57 tff(18534,plain,
% 15.36/10.57 (((~![B: $i] : ((~less_3(B)) | (v90(constB125, B) <=> v90(constB124, B)))) | ((~less_3(bitIndex0)) | (v90(constB125, bitIndex0) <=> v90(constB124, bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v90(constB125, B) <=> v90(constB124, B)))) | (~less_3(bitIndex0)) | (v90(constB125, bitIndex0) <=> v90(constB124, bitIndex0)))),
% 15.36/10.57 inference(rewrite,[status(thm)],[])).
% 15.36/10.57 tff(18535,plain,
% 15.36/10.57 ((~![B: $i] : ((~less_3(B)) | (v90(constB125, B) <=> v90(constB124, B)))) | ((~less_3(bitIndex0)) | (v90(constB125, bitIndex0) <=> v90(constB124, bitIndex0)))),
% 15.36/10.57 inference(quant_inst,[status(thm)],[])).
% 15.36/10.57 tff(18536,plain,
% 15.36/10.57 ((~![B: $i] : ((~less_3(B)) | (v90(constB125, B) <=> v90(constB124, B)))) | (~less_3(bitIndex0)) | (v90(constB125, bitIndex0) <=> v90(constB124, bitIndex0))),
% 15.36/10.57 inference(modus_ponens,[status(thm)],[18535, 18534])).
% 15.36/10.57 tff(18537,plain,
% 15.36/10.57 (v90(constB125, bitIndex0) <=> v90(constB124, bitIndex0)),
% 15.36/10.57 inference(unit_resolution,[status(thm)],[18536, 5004, 14756])).
% 15.36/10.57 tff(18538,plain,
% 15.36/10.57 (((~![B: $i] : ((~less_3(B)) | (v90(constB124, B) <=> v129(constB124, B)))) | ((~less_3(bitIndex0)) | (v90(constB124, bitIndex0) <=> v129(constB124, bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v90(constB124, B) <=> v129(constB124, B)))) | (~less_3(bitIndex0)) | (v90(constB124, bitIndex0) <=> v129(constB124, bitIndex0)))),
% 15.36/10.57 inference(rewrite,[status(thm)],[])).
% 15.36/10.57 tff(18539,plain,
% 15.36/10.57 ((~![B: $i] : ((~less_3(B)) | (v90(constB124, B) <=> v129(constB124, B)))) | ((~less_3(bitIndex0)) | (v90(constB124, bitIndex0) <=> v129(constB124, bitIndex0)))),
% 15.36/10.57 inference(quant_inst,[status(thm)],[])).
% 15.36/10.57 tff(18540,plain,
% 15.36/10.57 ((~![B: $i] : ((~less_3(B)) | (v90(constB124, B) <=> v129(constB124, B)))) | (~less_3(bitIndex0)) | (v90(constB124, bitIndex0) <=> v129(constB124, bitIndex0))),
% 15.36/10.57 inference(modus_ponens,[status(thm)],[18539, 18538])).
% 15.36/10.57 tff(18541,plain,
% 15.36/10.57 (v90(constB124, bitIndex0) <=> v129(constB124, bitIndex0)),
% 15.36/10.57 inference(unit_resolution,[status(thm)],[18540, 5004, 18493])).
% 15.36/10.57 tff(18542,plain,
% 15.36/10.57 (((~![B: $i] : ((~less_3(B)) | (v129(constB124, B) <=> v127(constB123, B)))) | ((~less_3(bitIndex0)) | (v129(constB124, bitIndex0) <=> v127(constB123, bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v129(constB124, B) <=> v127(constB123, B)))) | (~less_3(bitIndex0)) | (v129(constB124, bitIndex0) <=> v127(constB123, bitIndex0)))),
% 15.36/10.57 inference(rewrite,[status(thm)],[])).
% 15.36/10.57 tff(18543,plain,
% 15.36/10.57 ((~![B: $i] : ((~less_3(B)) | (v129(constB124, B) <=> v127(constB123, B)))) | ((~less_3(bitIndex0)) | (v129(constB124, bitIndex0) <=> v127(constB123, bitIndex0)))),
% 15.36/10.57 inference(quant_inst,[status(thm)],[])).
% 15.36/10.57 tff(18544,plain,
% 15.36/10.57 ((~![B: $i] : ((~less_3(B)) | (v129(constB124, B) <=> v127(constB123, B)))) | (~less_3(bitIndex0)) | (v129(constB124, bitIndex0) <=> v127(constB123, bitIndex0))),
% 15.36/10.57 inference(modus_ponens,[status(thm)],[18543, 18542])).
% 15.36/10.57 tff(18545,plain,
% 15.36/10.57 (v129(constB124, bitIndex0) <=> v127(constB123, bitIndex0)),
% 15.36/10.57 inference(unit_resolution,[status(thm)],[18544, 5004, 18501])).
% 15.36/10.57 tff(18546,plain,
% 15.36/10.57 (((~![B: $i] : ((~less_3(B)) | (v127(constB123, B) <=> v130(constB123, B)))) | ((~less_3(bitIndex0)) | (v127(constB123, bitIndex0) <=> v130(constB123, bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v127(constB123, B) <=> v130(constB123, B)))) | (~less_3(bitIndex0)) | (v127(constB123, bitIndex0) <=> v130(constB123, bitIndex0)))),
% 15.36/10.57 inference(rewrite,[status(thm)],[])).
% 15.36/10.57 tff(18547,plain,
% 15.36/10.57 ((~![B: $i] : ((~less_3(B)) | (v127(constB123, B) <=> v130(constB123, B)))) | ((~less_3(bitIndex0)) | (v127(constB123, bitIndex0) <=> v130(constB123, bitIndex0)))),
% 15.36/10.57 inference(quant_inst,[status(thm)],[])).
% 15.36/10.57 tff(18548,plain,
% 15.36/10.57 ((~![B: $i] : ((~less_3(B)) | (v127(constB123, B) <=> v130(constB123, B)))) | (~less_3(bitIndex0)) | (v127(constB123, bitIndex0) <=> v130(constB123, bitIndex0))),
% 15.36/10.57 inference(modus_ponens,[status(thm)],[18547, 18546])).
% 15.36/10.57 tff(18549,plain,
% 15.36/10.57 (v127(constB123, bitIndex0) <=> v130(constB123, bitIndex0)),
% 15.36/10.57 inference(unit_resolution,[status(thm)],[18548, 5004, 18509])).
% 15.36/10.57 tff(18550,plain,
% 15.36/10.57 (((~![B: $i] : ((~less_3(B)) | (v130(constB123, B) <=> b110(B)))) | ((~less_3(bitIndex0)) | (v130(constB123, bitIndex0) <=> b110(bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v130(constB123, B) <=> b110(B)))) | (~less_3(bitIndex0)) | (v130(constB123, bitIndex0) <=> b110(bitIndex0)))),
% 15.36/10.57 inference(rewrite,[status(thm)],[])).
% 15.36/10.57 tff(18551,plain,
% 15.36/10.57 ((~![B: $i] : ((~less_3(B)) | (v130(constB123, B) <=> b110(B)))) | ((~less_3(bitIndex0)) | (v130(constB123, bitIndex0) <=> b110(bitIndex0)))),
% 15.36/10.57 inference(quant_inst,[status(thm)],[])).
% 15.36/10.57 tff(18552,plain,
% 15.36/10.57 ((~![B: $i] : ((~less_3(B)) | (v130(constB123, B) <=> b110(B)))) | (~less_3(bitIndex0)) | (v130(constB123, bitIndex0) <=> b110(bitIndex0))),
% 15.36/10.57 inference(modus_ponens,[status(thm)],[18551, 18550])).
% 15.36/10.57 tff(18553,plain,
% 15.36/10.57 (v130(constB123, bitIndex0) <=> b110(bitIndex0)),
% 15.36/10.57 inference(unit_resolution,[status(thm)],[18552, 5004, 18518])).
% 15.36/10.57 tff(18554,plain,
% 15.36/10.57 ((~(v130(constB123, bitIndex0) <=> b110(bitIndex0))) | (~v130(constB123, bitIndex0)) | b110(bitIndex0)),
% 15.36/10.57 inference(tautology,[status(thm)],[])).
% 15.36/10.57 tff(18555,plain,
% 15.36/10.57 ((~(v130(constB123, bitIndex0) <=> b110(bitIndex0))) | (~v130(constB123, bitIndex0))),
% 15.36/10.57 inference(unit_resolution,[status(thm)],[18554, 5415])).
% 15.36/10.57 tff(18556,plain,
% 15.36/10.57 (~v130(constB123, bitIndex0)),
% 15.36/10.57 inference(unit_resolution,[status(thm)],[18555, 18553])).
% 15.36/10.57 tff(18557,plain,
% 15.36/10.57 ((~(v127(constB123, bitIndex0) <=> v130(constB123, bitIndex0))) | (~v127(constB123, bitIndex0)) | v130(constB123, bitIndex0)),
% 15.36/10.57 inference(tautology,[status(thm)],[])).
% 15.36/10.57 tff(18558,plain,
% 15.36/10.57 (~v127(constB123, bitIndex0)),
% 15.36/10.57 inference(unit_resolution,[status(thm)],[18557, 18556, 18549])).
% 15.36/10.57 tff(18559,plain,
% 15.36/10.57 ((~(v129(constB124, bitIndex0) <=> v127(constB123, bitIndex0))) | (~v129(constB124, bitIndex0)) | v127(constB123, bitIndex0)),
% 15.36/10.57 inference(tautology,[status(thm)],[])).
% 15.36/10.57 tff(18560,plain,
% 15.36/10.57 (~v129(constB124, bitIndex0)),
% 15.36/10.57 inference(unit_resolution,[status(thm)],[18559, 18558, 18545])).
% 15.36/10.57 tff(18561,plain,
% 15.36/10.57 ((~(v90(constB124, bitIndex0) <=> v129(constB124, bitIndex0))) | (~v90(constB124, bitIndex0)) | v129(constB124, bitIndex0)),
% 15.36/10.57 inference(tautology,[status(thm)],[])).
% 15.36/10.57 tff(18562,plain,
% 15.36/10.57 (~v90(constB124, bitIndex0)),
% 15.36/10.57 inference(unit_resolution,[status(thm)],[18561, 18560, 18541])).
% 15.36/10.57 tff(18563,plain,
% 15.36/10.57 ((~(v90(constB125, bitIndex0) <=> v90(constB124, bitIndex0))) | (~v90(constB125, bitIndex0)) | v90(constB124, bitIndex0)),
% 15.36/10.57 inference(tautology,[status(thm)],[])).
% 15.36/10.57 tff(18564,plain,
% 15.36/10.57 (~v90(constB125, bitIndex0)),
% 15.36/10.57 inference(unit_resolution,[status(thm)],[18563, 18562, 18537])).
% 15.36/10.57 tff(18565,plain,
% 15.36/10.57 (((~![B: $i] : ((~less_3(B)) | (v90(constB125, B) <=> v90(constB124, B)))) | ((~less_3(bitIndex1)) | (v90(constB125, bitIndex1) <=> v90(constB124, bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v90(constB125, B) <=> v90(constB124, B)))) | (~less_3(bitIndex1)) | (v90(constB125, bitIndex1) <=> v90(constB124, bitIndex1)))),
% 15.36/10.57 inference(rewrite,[status(thm)],[])).
% 15.36/10.57 tff(18566,plain,
% 15.36/10.57 ((~![B: $i] : ((~less_3(B)) | (v90(constB125, B) <=> v90(constB124, B)))) | ((~less_3(bitIndex1)) | (v90(constB125, bitIndex1) <=> v90(constB124, bitIndex1)))),
% 15.36/10.57 inference(quant_inst,[status(thm)],[])).
% 15.36/10.57 tff(18567,plain,
% 15.36/10.57 ((~![B: $i] : ((~less_3(B)) | (v90(constB125, B) <=> v90(constB124, B)))) | (~less_3(bitIndex1)) | (v90(constB125, bitIndex1) <=> v90(constB124, bitIndex1))),
% 15.36/10.57 inference(modus_ponens,[status(thm)],[18566, 18565])).
% 15.36/10.57 tff(18568,plain,
% 15.36/10.57 (v90(constB125, bitIndex1) <=> v90(constB124, bitIndex1)),
% 15.36/10.57 inference(unit_resolution,[status(thm)],[18567, 5017, 14756])).
% 15.36/10.57 tff(18569,plain,
% 15.36/10.57 (((~![B: $i] : ((~less_3(B)) | (v90(constB124, B) <=> v129(constB124, B)))) | ((~less_3(bitIndex1)) | (v90(constB124, bitIndex1) <=> v129(constB124, bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v90(constB124, B) <=> v129(constB124, B)))) | (~less_3(bitIndex1)) | (v90(constB124, bitIndex1) <=> v129(constB124, bitIndex1)))),
% 15.36/10.57 inference(rewrite,[status(thm)],[])).
% 15.36/10.57 tff(18570,plain,
% 15.36/10.57 ((~![B: $i] : ((~less_3(B)) | (v90(constB124, B) <=> v129(constB124, B)))) | ((~less_3(bitIndex1)) | (v90(constB124, bitIndex1) <=> v129(constB124, bitIndex1)))),
% 15.36/10.57 inference(quant_inst,[status(thm)],[])).
% 15.36/10.57 tff(18571,plain,
% 15.36/10.57 ((~![B: $i] : ((~less_3(B)) | (v90(constB124, B) <=> v129(constB124, B)))) | (~less_3(bitIndex1)) | (v90(constB124, bitIndex1) <=> v129(constB124, bitIndex1))),
% 15.36/10.57 inference(modus_ponens,[status(thm)],[18570, 18569])).
% 15.36/10.57 tff(18572,plain,
% 15.36/10.57 (v90(constB124, bitIndex1) <=> v129(constB124, bitIndex1)),
% 15.36/10.57 inference(unit_resolution,[status(thm)],[18571, 5017, 18493])).
% 15.36/10.57 tff(18573,plain,
% 15.36/10.57 (((~![B: $i] : ((~less_3(B)) | (v129(constB124, B) <=> v127(constB123, B)))) | ((~less_3(bitIndex1)) | (v129(constB124, bitIndex1) <=> v127(constB123, bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v129(constB124, B) <=> v127(constB123, B)))) | (~less_3(bitIndex1)) | (v129(constB124, bitIndex1) <=> v127(constB123, bitIndex1)))),
% 15.36/10.57 inference(rewrite,[status(thm)],[])).
% 15.36/10.57 tff(18574,plain,
% 15.36/10.57 ((~![B: $i] : ((~less_3(B)) | (v129(constB124, B) <=> v127(constB123, B)))) | ((~less_3(bitIndex1)) | (v129(constB124, bitIndex1) <=> v127(constB123, bitIndex1)))),
% 15.36/10.58 inference(quant_inst,[status(thm)],[])).
% 15.36/10.58 tff(18575,plain,
% 15.36/10.58 ((~![B: $i] : ((~less_3(B)) | (v129(constB124, B) <=> v127(constB123, B)))) | (~less_3(bitIndex1)) | (v129(constB124, bitIndex1) <=> v127(constB123, bitIndex1))),
% 15.36/10.58 inference(modus_ponens,[status(thm)],[18574, 18573])).
% 15.36/10.58 tff(18576,plain,
% 15.36/10.58 (v129(constB124, bitIndex1) <=> v127(constB123, bitIndex1)),
% 15.36/10.58 inference(unit_resolution,[status(thm)],[18575, 5017, 18501])).
% 15.36/10.58 tff(18577,plain,
% 15.36/10.58 (((~![B: $i] : ((~less_3(B)) | (v127(constB123, B) <=> v130(constB123, B)))) | ((~less_3(bitIndex1)) | (v127(constB123, bitIndex1) <=> v130(constB123, bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v127(constB123, B) <=> v130(constB123, B)))) | (~less_3(bitIndex1)) | (v127(constB123, bitIndex1) <=> v130(constB123, bitIndex1)))),
% 15.36/10.58 inference(rewrite,[status(thm)],[])).
% 15.36/10.58 tff(18578,plain,
% 15.36/10.58 ((~![B: $i] : ((~less_3(B)) | (v127(constB123, B) <=> v130(constB123, B)))) | ((~less_3(bitIndex1)) | (v127(constB123, bitIndex1) <=> v130(constB123, bitIndex1)))),
% 15.36/10.58 inference(quant_inst,[status(thm)],[])).
% 15.36/10.58 tff(18579,plain,
% 15.36/10.58 ((~![B: $i] : ((~less_3(B)) | (v127(constB123, B) <=> v130(constB123, B)))) | (~less_3(bitIndex1)) | (v127(constB123, bitIndex1) <=> v130(constB123, bitIndex1))),
% 15.36/10.58 inference(modus_ponens,[status(thm)],[18578, 18577])).
% 15.36/10.58 tff(18580,plain,
% 15.36/10.58 (v127(constB123, bitIndex1) <=> v130(constB123, bitIndex1)),
% 15.36/10.58 inference(unit_resolution,[status(thm)],[18579, 5017, 18509])).
% 15.36/10.58 tff(18581,plain,
% 15.36/10.58 (((~![B: $i] : ((~less_3(B)) | (v130(constB123, B) <=> b110(B)))) | ((~less_3(bitIndex1)) | (v130(constB123, bitIndex1) <=> b110(bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v130(constB123, B) <=> b110(B)))) | (~less_3(bitIndex1)) | (v130(constB123, bitIndex1) <=> b110(bitIndex1)))),
% 15.36/10.58 inference(rewrite,[status(thm)],[])).
% 15.36/10.58 tff(18582,plain,
% 15.36/10.58 ((~![B: $i] : ((~less_3(B)) | (v130(constB123, B) <=> b110(B)))) | ((~less_3(bitIndex1)) | (v130(constB123, bitIndex1) <=> b110(bitIndex1)))),
% 15.36/10.58 inference(quant_inst,[status(thm)],[])).
% 15.36/10.58 tff(18583,plain,
% 15.36/10.58 ((~![B: $i] : ((~less_3(B)) | (v130(constB123, B) <=> b110(B)))) | (~less_3(bitIndex1)) | (v130(constB123, bitIndex1) <=> b110(bitIndex1))),
% 15.36/10.58 inference(modus_ponens,[status(thm)],[18582, 18581])).
% 15.36/10.58 tff(18584,plain,
% 15.36/10.58 (v130(constB123, bitIndex1) <=> b110(bitIndex1)),
% 15.36/10.58 inference(unit_resolution,[status(thm)],[18583, 5017, 18518])).
% 15.36/10.58 tff(18585,plain,
% 15.36/10.58 ((~(v130(constB123, bitIndex1) <=> b110(bitIndex1))) | v130(constB123, bitIndex1) | (~b110(bitIndex1))),
% 15.36/10.58 inference(tautology,[status(thm)],[])).
% 15.36/10.58 tff(18586,plain,
% 15.36/10.58 ((~(v130(constB123, bitIndex1) <=> b110(bitIndex1))) | v130(constB123, bitIndex1)),
% 15.36/10.58 inference(unit_resolution,[status(thm)],[18585, 5449])).
% 15.36/10.58 tff(18587,plain,
% 15.36/10.58 (v130(constB123, bitIndex1)),
% 15.36/10.58 inference(unit_resolution,[status(thm)],[18586, 18584])).
% 15.36/10.58 tff(18588,plain,
% 15.36/10.58 ((~(v127(constB123, bitIndex1) <=> v130(constB123, bitIndex1))) | v127(constB123, bitIndex1) | (~v130(constB123, bitIndex1))),
% 15.36/10.58 inference(tautology,[status(thm)],[])).
% 15.36/10.58 tff(18589,plain,
% 15.36/10.58 (v127(constB123, bitIndex1)),
% 15.36/10.58 inference(unit_resolution,[status(thm)],[18588, 18587, 18580])).
% 15.36/10.58 tff(18590,plain,
% 15.36/10.58 ((~(v129(constB124, bitIndex1) <=> v127(constB123, bitIndex1))) | v129(constB124, bitIndex1) | (~v127(constB123, bitIndex1))),
% 15.36/10.58 inference(tautology,[status(thm)],[])).
% 15.36/10.58 tff(18591,plain,
% 15.36/10.58 (v129(constB124, bitIndex1)),
% 15.36/10.58 inference(unit_resolution,[status(thm)],[18590, 18589, 18576])).
% 15.36/10.58 tff(18592,plain,
% 15.36/10.58 ((~(v90(constB124, bitIndex1) <=> v129(constB124, bitIndex1))) | v90(constB124, bitIndex1) | (~v129(constB124, bitIndex1))),
% 15.36/10.58 inference(tautology,[status(thm)],[])).
% 15.36/10.58 tff(18593,plain,
% 15.36/10.58 (v90(constB124, bitIndex1)),
% 15.36/10.58 inference(unit_resolution,[status(thm)],[18592, 18591, 18572])).
% 15.36/10.58 tff(18594,plain,
% 15.36/10.58 ((~(v90(constB125, bitIndex1) <=> v90(constB124, bitIndex1))) | v90(constB125, bitIndex1) | (~v90(constB124, bitIndex1))),
% 15.36/10.58 inference(tautology,[status(thm)],[])).
% 15.36/10.58 tff(18595,plain,
% 15.36/10.58 (v90(constB125, bitIndex1)),
% 15.36/10.58 inference(unit_resolution,[status(thm)],[18594, 18593, 18568])).
% 15.36/10.58 tff(18596,plain,
% 15.36/10.58 ((~((~v90(constB125, bitIndex2)) | (~v90(constB125, bitIndex1)) | v90(constB125, bitIndex0))) | (~v90(constB125, bitIndex2)) | (~v90(constB125, bitIndex1)) | v90(constB125, bitIndex0)),
% 15.36/10.58 inference(tautology,[status(thm)],[])).
% 15.36/10.58 tff(18597,plain,
% 15.36/10.58 (~((~v90(constB125, bitIndex2)) | (~v90(constB125, bitIndex1)) | v90(constB125, bitIndex0))),
% 15.36/10.58 inference(unit_resolution,[status(thm)],[18596, 18595, 18564, 18533])).
% 15.36/10.58 tff(18598,plain,
% 15.36/10.58 ((~(v125(constB125) <=> (~((~v90(constB125, bitIndex2)) | (~v90(constB125, bitIndex1)) | v90(constB125, bitIndex0))))) | v125(constB125) | ((~v90(constB125, bitIndex2)) | (~v90(constB125, bitIndex1)) | v90(constB125, bitIndex0))),
% 15.36/10.58 inference(tautology,[status(thm)],[])).
% 15.36/10.58 tff(18599,plain,
% 15.36/10.58 (v125(constB125)),
% 15.36/10.58 inference(unit_resolution,[status(thm)],[18598, 18597, 14728])).
% 15.36/10.58 tff(18600,plain,
% 15.36/10.58 ((v114(constB125) | v125(constB125)) | (~v125(constB125))),
% 15.36/10.58 inference(tautology,[status(thm)],[])).
% 15.36/10.58 tff(18601,plain,
% 15.36/10.58 (v114(constB125) | v125(constB125)),
% 15.36/10.58 inference(unit_resolution,[status(thm)],[18600, 18599])).
% 15.36/10.58 tff(18602,plain,
% 15.36/10.58 ((~(v113(constB125) <=> (v114(constB125) | v125(constB125)))) | v113(constB125) | (~(v114(constB125) | v125(constB125)))),
% 15.36/10.58 inference(tautology,[status(thm)],[])).
% 15.36/10.58 tff(18603,plain,
% 15.36/10.58 (v113(constB125)),
% 15.36/10.58 inference(unit_resolution,[status(thm)],[18602, 18601, 14721])).
% 15.36/10.58 tff(18604,plain,
% 15.36/10.58 ((~![VarCurr: $i] : ((~v126(VarCurr)) <=> v111(VarCurr))) | ((~v126(constB125)) <=> v111(constB125))),
% 15.36/10.58 inference(quant_inst,[status(thm)],[])).
% 15.36/10.58 tff(18605,plain,
% 15.36/10.58 ((~v126(constB125)) <=> v111(constB125)),
% 15.36/10.58 inference(unit_resolution,[status(thm)],[18604, 5074])).
% 15.36/10.58 tff(18606,plain,
% 15.36/10.58 ((~![VarCurr: $i] : (v111(VarCurr) <=> v26(VarCurr))) | (v111(constB125) <=> v26(constB125))),
% 15.36/10.58 inference(quant_inst,[status(thm)],[])).
% 15.36/10.58 tff(18607,plain,
% 15.36/10.58 (v111(constB125) <=> v26(constB125)),
% 15.36/10.58 inference(unit_resolution,[status(thm)],[18606, 5086])).
% 15.36/10.58 tff(18608,plain,
% 15.36/10.58 ((~![VarCurr: $i] : (~v26(VarCurr))) | (~v26(constB125))),
% 15.36/10.58 inference(quant_inst,[status(thm)],[])).
% 15.36/10.58 tff(18609,plain,
% 15.36/10.58 (~v26(constB125)),
% 15.36/10.58 inference(unit_resolution,[status(thm)],[18608, 5098])).
% 15.36/10.58 tff(18610,plain,
% 15.36/10.58 ((~(v111(constB125) <=> v26(constB125))) | (~v111(constB125)) | v26(constB125)),
% 15.36/10.58 inference(tautology,[status(thm)],[])).
% 15.36/10.58 tff(18611,plain,
% 15.36/10.58 ((~(v111(constB125) <=> v26(constB125))) | (~v111(constB125))),
% 15.36/10.58 inference(unit_resolution,[status(thm)],[18610, 18609])).
% 15.36/10.58 tff(18612,plain,
% 15.36/10.58 (~v111(constB125)),
% 15.36/10.58 inference(unit_resolution,[status(thm)],[18611, 18607])).
% 15.36/10.58 tff(18613,plain,
% 15.36/10.58 ((~((~v126(constB125)) <=> v111(constB125))) | v126(constB125) | v111(constB125)),
% 15.36/10.58 inference(tautology,[status(thm)],[])).
% 15.36/10.58 tff(18614,plain,
% 15.36/10.58 ((~((~v126(constB125)) <=> v111(constB125))) | v126(constB125)),
% 15.36/10.58 inference(unit_resolution,[status(thm)],[18613, 18612])).
% 15.36/10.58 tff(18615,plain,
% 15.36/10.58 (v126(constB125)),
% 15.36/10.58 inference(unit_resolution,[status(thm)],[18614, 18605])).
% 15.36/10.58 tff(18616,plain,
% 15.36/10.58 ((~((~v113(constB125)) | (~v126(constB125)))) | (~v113(constB125)) | (~v126(constB125))),
% 15.36/10.58 inference(tautology,[status(thm)],[])).
% 15.36/10.58 tff(18617,plain,
% 15.36/10.58 ((~((~v113(constB125)) | (~v126(constB125)))) | (~v113(constB125))),
% 15.36/10.58 inference(unit_resolution,[status(thm)],[18616, 18615])).
% 15.36/10.58 tff(18618,plain,
% 15.36/10.58 (~((~v113(constB125)) | (~v126(constB125)))),
% 15.36/10.58 inference(unit_resolution,[status(thm)],[18617, 18603])).
% 15.36/10.58 tff(18619,plain,
% 15.36/10.58 ((~(v112(constB125) <=> (~((~v113(constB125)) | (~v126(constB125)))))) | v112(constB125) | ((~v113(constB125)) | (~v126(constB125)))),
% 15.36/10.58 inference(tautology,[status(thm)],[])).
% 15.36/10.58 tff(18620,plain,
% 15.36/10.58 (v112(constB125)),
% 15.36/10.58 inference(unit_resolution,[status(thm)],[18619, 18618, 14719])).
% 15.36/10.58 tff(18621,plain,
% 15.36/10.58 ((v111(constB125) | v112(constB125)) | (~v112(constB125))),
% 15.36/10.58 inference(tautology,[status(thm)],[])).
% 15.36/10.58 tff(18622,plain,
% 15.36/10.58 (v111(constB125) | v112(constB125)),
% 15.36/10.58 inference(unit_resolution,[status(thm)],[18621, 18620])).
% 15.36/10.58 tff(18623,plain,
% 15.36/10.58 ((~(v108(constB125) <=> (v111(constB125) | v112(constB125)))) | v108(constB125) | (~(v111(constB125) | v112(constB125)))),
% 15.36/10.58 inference(tautology,[status(thm)],[])).
% 15.36/10.58 tff(18624,plain,
% 15.36/10.58 (v108(constB125)),
% 15.36/10.58 inference(unit_resolution,[status(thm)],[18623, 18622, 14717])).
% 15.36/10.58 tff(18625,plain,
% 15.36/10.58 ((~(v110(constB126) <=> v108(constB125))) | v110(constB126) | (~v108(constB125))),
% 15.36/10.58 inference(tautology,[status(thm)],[])).
% 15.36/10.58 tff(18626,plain,
% 15.36/10.58 (v110(constB126)),
% 15.36/10.58 inference(unit_resolution,[status(thm)],[18625, 18624, 14715])).
% 15.36/10.58 tff(18627,plain,
% 15.36/10.58 ((~((~v101(constB126)) | (~v110(constB126)))) | (~v101(constB126)) | (~v110(constB126))),
% 15.36/10.58 inference(tautology,[status(thm)],[])).
% 15.36/10.58 tff(18628,plain,
% 15.36/10.58 (~((~v101(constB126)) | (~v110(constB126)))),
% 15.36/10.58 inference(unit_resolution,[status(thm)],[18627, 18626, 14711])).
% 15.36/10.58 tff(18629,plain,
% 15.36/10.58 ((~(v100(constB126) <=> (~((~v101(constB126)) | (~v110(constB126)))))) | v100(constB126) | ((~v101(constB126)) | (~v110(constB126)))),
% 15.36/10.58 inference(tautology,[status(thm)],[])).
% 15.36/10.58 tff(18630,plain,
% 15.36/10.58 (v100(constB126)),
% 15.36/10.58 inference(unit_resolution,[status(thm)],[18629, 18628, 14680])).
% 15.36/10.58 tff(18631,plain,
% 15.36/10.58 (((~![VarNext: $i] : ((~v100(VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v129(VarNext, B))))) | ((~v100(constB126)) | ![B: $i] : ((~less_3(B)) | (v90(constB126, B) <=> v129(constB126, B))))) <=> ((~![VarNext: $i] : ((~v100(VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v129(VarNext, B))))) | (~v100(constB126)) | ![B: $i] : ((~less_3(B)) | (v90(constB126, B) <=> v129(constB126, B))))),
% 15.36/10.58 inference(rewrite,[status(thm)],[])).
% 15.36/10.58 tff(18632,plain,
% 15.36/10.58 ((~![VarNext: $i] : ((~v100(VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v129(VarNext, B))))) | ((~v100(constB126)) | ![B: $i] : ((~less_3(B)) | (v90(constB126, B) <=> v129(constB126, B))))),
% 15.36/10.58 inference(quant_inst,[status(thm)],[])).
% 15.36/10.58 tff(18633,plain,
% 15.36/10.58 ((~![VarNext: $i] : ((~v100(VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v129(VarNext, B))))) | (~v100(constB126)) | ![B: $i] : ((~less_3(B)) | (v90(constB126, B) <=> v129(constB126, B)))),
% 15.36/10.58 inference(modus_ponens,[status(thm)],[18632, 18631])).
% 15.36/10.58 tff(18634,plain,
% 15.36/10.58 ((~v100(constB126)) | ![B: $i] : ((~less_3(B)) | (v90(constB126, B) <=> v129(constB126, B)))),
% 15.36/10.58 inference(unit_resolution,[status(thm)],[18633, 5134])).
% 15.36/10.58 tff(18635,plain,
% 15.36/10.58 (![B: $i] : ((~less_3(B)) | (v90(constB126, B) <=> v129(constB126, B)))),
% 15.36/10.58 inference(unit_resolution,[status(thm)],[18634, 18630])).
% 15.36/10.58 tff(18636,plain,
% 15.36/10.58 (((~![B: $i] : ((~less_3(B)) | (v90(constB126, B) <=> v129(constB126, B)))) | ((~less_3(bitIndex2)) | (v90(constB126, bitIndex2) <=> v129(constB126, bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v90(constB126, B) <=> v129(constB126, B)))) | (~less_3(bitIndex2)) | (v90(constB126, bitIndex2) <=> v129(constB126, bitIndex2)))),
% 15.36/10.58 inference(rewrite,[status(thm)],[])).
% 15.36/10.58 tff(18637,plain,
% 15.36/10.58 ((~![B: $i] : ((~less_3(B)) | (v90(constB126, B) <=> v129(constB126, B)))) | ((~less_3(bitIndex2)) | (v90(constB126, bitIndex2) <=> v129(constB126, bitIndex2)))),
% 15.38/10.58 inference(quant_inst,[status(thm)],[])).
% 15.38/10.58 tff(18638,plain,
% 15.38/10.58 ((~![B: $i] : ((~less_3(B)) | (v90(constB126, B) <=> v129(constB126, B)))) | (~less_3(bitIndex2)) | (v90(constB126, bitIndex2) <=> v129(constB126, bitIndex2))),
% 15.38/10.58 inference(modus_ponens,[status(thm)],[18637, 18636])).
% 15.38/10.58 tff(18639,plain,
% 15.38/10.58 (v90(constB126, bitIndex2) <=> v129(constB126, bitIndex2)),
% 15.38/10.58 inference(unit_resolution,[status(thm)],[18638, 413, 18635])).
% 15.38/10.58 tff(18640,plain,
% 15.38/10.58 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v129(VarNext, B) <=> v127(VarCurr, B))))) | ((~nextState(constB125, constB126)) | ![B: $i] : ((~less_3(B)) | (v129(constB126, B) <=> v127(constB125, B))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v129(VarNext, B) <=> v127(VarCurr, B))))) | (~nextState(constB125, constB126)) | ![B: $i] : ((~less_3(B)) | (v129(constB126, B) <=> v127(constB125, B))))),
% 15.38/10.58 inference(rewrite,[status(thm)],[])).
% 15.38/10.58 tff(18641,plain,
% 15.38/10.58 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v129(VarNext, B) <=> v127(VarCurr, B))))) | ((~nextState(constB125, constB126)) | ![B: $i] : ((~less_3(B)) | (v129(constB126, B) <=> v127(constB125, B))))),
% 15.38/10.58 inference(quant_inst,[status(thm)],[])).
% 15.38/10.58 tff(18642,plain,
% 15.38/10.58 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v129(VarNext, B) <=> v127(VarCurr, B))))) | (~nextState(constB125, constB126)) | ![B: $i] : ((~less_3(B)) | (v129(constB126, B) <=> v127(constB125, B)))),
% 15.38/10.58 inference(modus_ponens,[status(thm)],[18641, 18640])).
% 15.38/10.58 tff(18643,plain,
% 15.38/10.58 (![B: $i] : ((~less_3(B)) | (v129(constB126, B) <=> v127(constB125, B)))),
% 15.38/10.58 inference(unit_resolution,[status(thm)],[18642, 14676, 5156])).
% 15.38/10.58 tff(18644,plain,
% 15.38/10.58 (((~![B: $i] : ((~less_3(B)) | (v129(constB126, B) <=> v127(constB125, B)))) | ((~less_3(bitIndex2)) | (v129(constB126, bitIndex2) <=> v127(constB125, bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v129(constB126, B) <=> v127(constB125, B)))) | (~less_3(bitIndex2)) | (v129(constB126, bitIndex2) <=> v127(constB125, bitIndex2)))),
% 15.38/10.58 inference(rewrite,[status(thm)],[])).
% 15.38/10.58 tff(18645,plain,
% 15.38/10.58 ((~![B: $i] : ((~less_3(B)) | (v129(constB126, B) <=> v127(constB125, B)))) | ((~less_3(bitIndex2)) | (v129(constB126, bitIndex2) <=> v127(constB125, bitIndex2)))),
% 15.38/10.58 inference(quant_inst,[status(thm)],[])).
% 15.38/10.58 tff(18646,plain,
% 15.38/10.58 ((~![B: $i] : ((~less_3(B)) | (v129(constB126, B) <=> v127(constB125, B)))) | (~less_3(bitIndex2)) | (v129(constB126, bitIndex2) <=> v127(constB125, bitIndex2))),
% 15.38/10.58 inference(modus_ponens,[status(thm)],[18645, 18644])).
% 15.38/10.58 tff(18647,plain,
% 15.38/10.58 (v129(constB126, bitIndex2) <=> v127(constB125, bitIndex2)),
% 15.38/10.58 inference(unit_resolution,[status(thm)],[18646, 413, 18643])).
% 15.38/10.58 tff(18648,plain,
% 15.38/10.58 (((~![VarCurr: $i] : (v111(VarCurr) | ![B: $i] : ((~less_3(B)) | (v127(VarCurr, B) <=> v130(VarCurr, B))))) | (v111(constB125) | ![B: $i] : ((~less_3(B)) | (v127(constB125, B) <=> v130(constB125, B))))) <=> ((~![VarCurr: $i] : (v111(VarCurr) | ![B: $i] : ((~less_3(B)) | (v127(VarCurr, B) <=> v130(VarCurr, B))))) | v111(constB125) | ![B: $i] : ((~less_3(B)) | (v127(constB125, B) <=> v130(constB125, B))))),
% 15.38/10.58 inference(rewrite,[status(thm)],[])).
% 15.38/10.58 tff(18649,plain,
% 15.38/10.58 ((~![VarCurr: $i] : (v111(VarCurr) | ![B: $i] : ((~less_3(B)) | (v127(VarCurr, B) <=> v130(VarCurr, B))))) | (v111(constB125) | ![B: $i] : ((~less_3(B)) | (v127(constB125, B) <=> v130(constB125, B))))),
% 15.38/10.58 inference(quant_inst,[status(thm)],[])).
% 15.38/10.58 tff(18650,plain,
% 15.38/10.58 ((~![VarCurr: $i] : (v111(VarCurr) | ![B: $i] : ((~less_3(B)) | (v127(VarCurr, B) <=> v130(VarCurr, B))))) | v111(constB125) | ![B: $i] : ((~less_3(B)) | (v127(constB125, B) <=> v130(constB125, B)))),
% 15.38/10.58 inference(modus_ponens,[status(thm)],[18649, 18648])).
% 15.38/10.58 tff(18651,plain,
% 15.38/10.58 (![B: $i] : ((~less_3(B)) | (v127(constB125, B) <=> v130(constB125, B)))),
% 15.38/10.58 inference(unit_resolution,[status(thm)],[18650, 5177, 18612])).
% 15.38/10.58 tff(18652,plain,
% 15.38/10.58 (((~![B: $i] : ((~less_3(B)) | (v127(constB125, B) <=> v130(constB125, B)))) | ((~less_3(bitIndex2)) | (v127(constB125, bitIndex2) <=> v130(constB125, bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v127(constB125, B) <=> v130(constB125, B)))) | (~less_3(bitIndex2)) | (v127(constB125, bitIndex2) <=> v130(constB125, bitIndex2)))),
% 15.38/10.58 inference(rewrite,[status(thm)],[])).
% 15.38/10.58 tff(18653,plain,
% 15.38/10.58 ((~![B: $i] : ((~less_3(B)) | (v127(constB125, B) <=> v130(constB125, B)))) | ((~less_3(bitIndex2)) | (v127(constB125, bitIndex2) <=> v130(constB125, bitIndex2)))),
% 15.38/10.58 inference(quant_inst,[status(thm)],[])).
% 15.38/10.58 tff(18654,plain,
% 15.38/10.58 ((~![B: $i] : ((~less_3(B)) | (v127(constB125, B) <=> v130(constB125, B)))) | (~less_3(bitIndex2)) | (v127(constB125, bitIndex2) <=> v130(constB125, bitIndex2))),
% 15.38/10.58 inference(modus_ponens,[status(thm)],[18653, 18652])).
% 15.38/10.58 tff(18655,plain,
% 15.38/10.58 (v127(constB125, bitIndex2) <=> v130(constB125, bitIndex2)),
% 15.38/10.58 inference(unit_resolution,[status(thm)],[18654, 413, 18651])).
% 15.38/10.58 tff(18656,plain,
% 15.38/10.58 ((~![VarCurr: $i] : (v119(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))))) | (v119(constB125) <=> (~(v90(constB125, bitIndex0) | v90(constB125, bitIndex1) | v90(constB125, bitIndex2))))),
% 15.38/10.58 inference(quant_inst,[status(thm)],[])).
% 15.38/10.58 tff(18657,plain,
% 15.38/10.58 (v119(constB125) <=> (~(v90(constB125, bitIndex0) | v90(constB125, bitIndex1) | v90(constB125, bitIndex2)))),
% 15.38/10.58 inference(unit_resolution,[status(thm)],[18656, 4971])).
% 15.38/10.58 tff(18658,plain,
% 15.38/10.58 ((v90(constB125, bitIndex0) | v90(constB125, bitIndex1) | v90(constB125, bitIndex2)) | (~v90(constB125, bitIndex2))),
% 15.38/10.58 inference(tautology,[status(thm)],[])).
% 15.38/10.58 tff(18659,plain,
% 15.38/10.58 (v90(constB125, bitIndex0) | v90(constB125, bitIndex1) | v90(constB125, bitIndex2)),
% 15.38/10.58 inference(unit_resolution,[status(thm)],[18658, 18533])).
% 15.38/10.58 tff(18660,plain,
% 15.38/10.58 ((~(v119(constB125) <=> (~(v90(constB125, bitIndex0) | v90(constB125, bitIndex1) | v90(constB125, bitIndex2))))) | (~v119(constB125)) | (~(v90(constB125, bitIndex0) | v90(constB125, bitIndex1) | v90(constB125, bitIndex2)))),
% 15.38/10.58 inference(tautology,[status(thm)],[])).
% 15.38/10.58 tff(18661,plain,
% 15.38/10.58 (~v119(constB125)),
% 15.38/10.58 inference(unit_resolution,[status(thm)],[18660, 18659, 18657])).
% 15.38/10.58 tff(18662,plain,
% 15.38/10.58 (((~![VarCurr: $i] : (v124(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex2)))))) | (v124(constB125) <=> (~((~v90(constB125, bitIndex2)) | v90(constB125, bitIndex1) | (~v90(constB125, bitIndex0)))))) <=> ((~![VarCurr: $i] : (v124(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex2)))))) | (v124(constB125) <=> (~((~v90(constB125, bitIndex2)) | v90(constB125, bitIndex1) | (~v90(constB125, bitIndex0))))))),
% 15.38/10.58 inference(rewrite,[status(thm)],[])).
% 15.38/10.58 tff(18663,plain,
% 15.38/10.58 ((v124(constB125) <=> (~(v90(constB125, bitIndex1) | (~v90(constB125, bitIndex0)) | (~v90(constB125, bitIndex2))))) <=> (v124(constB125) <=> (~((~v90(constB125, bitIndex2)) | v90(constB125, bitIndex1) | (~v90(constB125, bitIndex0)))))),
% 15.38/10.58 inference(rewrite,[status(thm)],[])).
% 15.38/10.58 tff(18664,plain,
% 15.38/10.58 (((~![VarCurr: $i] : (v124(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex2)))))) | (v124(constB125) <=> (~(v90(constB125, bitIndex1) | (~v90(constB125, bitIndex0)) | (~v90(constB125, bitIndex2)))))) <=> ((~![VarCurr: $i] : (v124(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex2)))))) | (v124(constB125) <=> (~((~v90(constB125, bitIndex2)) | v90(constB125, bitIndex1) | (~v90(constB125, bitIndex0))))))),
% 15.38/10.58 inference(monotonicity,[status(thm)],[18663])).
% 15.38/10.58 tff(18665,plain,
% 15.38/10.58 (((~![VarCurr: $i] : (v124(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex2)))))) | (v124(constB125) <=> (~(v90(constB125, bitIndex1) | (~v90(constB125, bitIndex0)) | (~v90(constB125, bitIndex2)))))) <=> ((~![VarCurr: $i] : (v124(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex2)))))) | (v124(constB125) <=> (~((~v90(constB125, bitIndex2)) | v90(constB125, bitIndex1) | (~v90(constB125, bitIndex0))))))),
% 15.38/10.58 inference(transitivity,[status(thm)],[18664, 18662])).
% 15.38/10.58 tff(18666,plain,
% 15.38/10.58 ((~![VarCurr: $i] : (v124(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex2)))))) | (v124(constB125) <=> (~(v90(constB125, bitIndex1) | (~v90(constB125, bitIndex0)) | (~v90(constB125, bitIndex2)))))),
% 15.38/10.58 inference(quant_inst,[status(thm)],[])).
% 15.38/10.58 tff(18667,plain,
% 15.38/10.58 ((~![VarCurr: $i] : (v124(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex2)))))) | (v124(constB125) <=> (~((~v90(constB125, bitIndex2)) | v90(constB125, bitIndex1) | (~v90(constB125, bitIndex0)))))),
% 15.38/10.58 inference(modus_ponens,[status(thm)],[18666, 18665])).
% 15.38/10.58 tff(18668,plain,
% 15.38/10.58 (v124(constB125) <=> (~((~v90(constB125, bitIndex2)) | v90(constB125, bitIndex1) | (~v90(constB125, bitIndex0))))),
% 15.38/10.58 inference(unit_resolution,[status(thm)],[18667, 5539])).
% 15.38/10.58 tff(18669,plain,
% 15.38/10.58 (((~v90(constB125, bitIndex2)) | v90(constB125, bitIndex1) | (~v90(constB125, bitIndex0))) | (~v90(constB125, bitIndex1))),
% 15.38/10.58 inference(tautology,[status(thm)],[])).
% 15.38/10.58 tff(18670,plain,
% 15.38/10.58 ((~v90(constB125, bitIndex2)) | v90(constB125, bitIndex1) | (~v90(constB125, bitIndex0))),
% 15.38/10.58 inference(unit_resolution,[status(thm)],[18669, 18595])).
% 15.38/10.58 tff(18671,plain,
% 15.38/10.58 ((~(v124(constB125) <=> (~((~v90(constB125, bitIndex2)) | v90(constB125, bitIndex1) | (~v90(constB125, bitIndex0)))))) | (~v124(constB125)) | (~((~v90(constB125, bitIndex2)) | v90(constB125, bitIndex1) | (~v90(constB125, bitIndex0))))),
% 15.38/10.58 inference(tautology,[status(thm)],[])).
% 15.38/10.58 tff(18672,plain,
% 15.38/10.58 (~v124(constB125)),
% 15.38/10.58 inference(unit_resolution,[status(thm)],[18671, 18670, 18668])).
% 15.38/10.58 tff(18673,plain,
% 15.38/10.58 (((~![VarCurr: $i] : (v123(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)))))) | (v123(constB125) <=> (~((~v90(constB125, bitIndex2)) | v90(constB125, bitIndex1) | v90(constB125, bitIndex0))))) <=> ((~![VarCurr: $i] : (v123(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)))))) | (v123(constB125) <=> (~((~v90(constB125, bitIndex2)) | v90(constB125, bitIndex1) | v90(constB125, bitIndex0)))))),
% 15.38/10.58 inference(rewrite,[status(thm)],[])).
% 15.38/10.58 tff(18674,plain,
% 15.38/10.58 ((v123(constB125) <=> (~(v90(constB125, bitIndex0) | v90(constB125, bitIndex1) | (~v90(constB125, bitIndex2))))) <=> (v123(constB125) <=> (~((~v90(constB125, bitIndex2)) | v90(constB125, bitIndex1) | v90(constB125, bitIndex0))))),
% 15.38/10.58 inference(rewrite,[status(thm)],[])).
% 15.38/10.58 tff(18675,plain,
% 15.38/10.58 (((~![VarCurr: $i] : (v123(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)))))) | (v123(constB125) <=> (~(v90(constB125, bitIndex0) | v90(constB125, bitIndex1) | (~v90(constB125, bitIndex2)))))) <=> ((~![VarCurr: $i] : (v123(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)))))) | (v123(constB125) <=> (~((~v90(constB125, bitIndex2)) | v90(constB125, bitIndex1) | v90(constB125, bitIndex0)))))),
% 15.38/10.58 inference(monotonicity,[status(thm)],[18674])).
% 15.38/10.58 tff(18676,plain,
% 15.38/10.58 (((~![VarCurr: $i] : (v123(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)))))) | (v123(constB125) <=> (~(v90(constB125, bitIndex0) | v90(constB125, bitIndex1) | (~v90(constB125, bitIndex2)))))) <=> ((~![VarCurr: $i] : (v123(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)))))) | (v123(constB125) <=> (~((~v90(constB125, bitIndex2)) | v90(constB125, bitIndex1) | v90(constB125, bitIndex0)))))),
% 15.38/10.58 inference(transitivity,[status(thm)],[18675, 18673])).
% 15.38/10.58 tff(18677,plain,
% 15.38/10.58 ((~![VarCurr: $i] : (v123(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)))))) | (v123(constB125) <=> (~(v90(constB125, bitIndex0) | v90(constB125, bitIndex1) | (~v90(constB125, bitIndex2)))))),
% 15.38/10.58 inference(quant_inst,[status(thm)],[])).
% 15.38/10.58 tff(18678,plain,
% 15.38/10.58 ((~![VarCurr: $i] : (v123(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)))))) | (v123(constB125) <=> (~((~v90(constB125, bitIndex2)) | v90(constB125, bitIndex1) | v90(constB125, bitIndex0))))),
% 15.38/10.58 inference(modus_ponens,[status(thm)],[18677, 18676])).
% 15.38/10.58 tff(18679,plain,
% 15.38/10.58 (v123(constB125) <=> (~((~v90(constB125, bitIndex2)) | v90(constB125, bitIndex1) | v90(constB125, bitIndex0)))),
% 15.38/10.58 inference(unit_resolution,[status(thm)],[18678, 621])).
% 15.38/10.58 tff(18680,plain,
% 15.38/10.58 (((~v90(constB125, bitIndex2)) | v90(constB125, bitIndex1) | v90(constB125, bitIndex0)) | (~v90(constB125, bitIndex1))),
% 15.38/10.58 inference(tautology,[status(thm)],[])).
% 15.38/10.58 tff(18681,plain,
% 15.38/10.58 ((~v90(constB125, bitIndex2)) | v90(constB125, bitIndex1) | v90(constB125, bitIndex0)),
% 15.38/10.58 inference(unit_resolution,[status(thm)],[18680, 18595])).
% 15.38/10.58 tff(18682,plain,
% 15.38/10.58 ((~(v123(constB125) <=> (~((~v90(constB125, bitIndex2)) | v90(constB125, bitIndex1) | v90(constB125, bitIndex0))))) | (~v123(constB125)) | (~((~v90(constB125, bitIndex2)) | v90(constB125, bitIndex1) | v90(constB125, bitIndex0)))),
% 15.38/10.58 inference(tautology,[status(thm)],[])).
% 15.38/10.58 tff(18683,plain,
% 15.38/10.58 (~v123(constB125)),
% 15.38/10.58 inference(unit_resolution,[status(thm)],[18682, 18681, 18679])).
% 15.38/10.58 tff(18684,plain,
% 15.38/10.58 (((~![VarCurr: $i] : (v122(VarCurr) <=> (~(v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)))))) | (v122(constB125) <=> (~(v90(constB125, bitIndex2) | (~v90(constB125, bitIndex1)) | (~v90(constB125, bitIndex0)))))) <=> ((~![VarCurr: $i] : (v122(VarCurr) <=> (~(v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)))))) | (v122(constB125) <=> (~(v90(constB125, bitIndex2) | (~v90(constB125, bitIndex1)) | (~v90(constB125, bitIndex0))))))),
% 15.38/10.58 inference(rewrite,[status(thm)],[])).
% 15.38/10.58 tff(18685,plain,
% 15.38/10.58 ((v122(constB125) <=> (~(v90(constB125, bitIndex2) | (~v90(constB125, bitIndex0)) | (~v90(constB125, bitIndex1))))) <=> (v122(constB125) <=> (~(v90(constB125, bitIndex2) | (~v90(constB125, bitIndex1)) | (~v90(constB125, bitIndex0)))))),
% 15.38/10.58 inference(rewrite,[status(thm)],[])).
% 15.38/10.58 tff(18686,plain,
% 15.38/10.58 (((~![VarCurr: $i] : (v122(VarCurr) <=> (~(v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)))))) | (v122(constB125) <=> (~(v90(constB125, bitIndex2) | (~v90(constB125, bitIndex0)) | (~v90(constB125, bitIndex1)))))) <=> ((~![VarCurr: $i] : (v122(VarCurr) <=> (~(v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)))))) | (v122(constB125) <=> (~(v90(constB125, bitIndex2) | (~v90(constB125, bitIndex1)) | (~v90(constB125, bitIndex0))))))),
% 15.38/10.58 inference(monotonicity,[status(thm)],[18685])).
% 15.38/10.58 tff(18687,plain,
% 15.38/10.58 (((~![VarCurr: $i] : (v122(VarCurr) <=> (~(v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)))))) | (v122(constB125) <=> (~(v90(constB125, bitIndex2) | (~v90(constB125, bitIndex0)) | (~v90(constB125, bitIndex1)))))) <=> ((~![VarCurr: $i] : (v122(VarCurr) <=> (~(v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)))))) | (v122(constB125) <=> (~(v90(constB125, bitIndex2) | (~v90(constB125, bitIndex1)) | (~v90(constB125, bitIndex0))))))),
% 15.38/10.58 inference(transitivity,[status(thm)],[18686, 18684])).
% 15.38/10.58 tff(18688,plain,
% 15.38/10.58 ((~![VarCurr: $i] : (v122(VarCurr) <=> (~(v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)))))) | (v122(constB125) <=> (~(v90(constB125, bitIndex2) | (~v90(constB125, bitIndex0)) | (~v90(constB125, bitIndex1)))))),
% 15.38/10.58 inference(quant_inst,[status(thm)],[])).
% 15.38/10.58 tff(18689,plain,
% 15.38/10.58 ((~![VarCurr: $i] : (v122(VarCurr) <=> (~(v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)))))) | (v122(constB125) <=> (~(v90(constB125, bitIndex2) | (~v90(constB125, bitIndex1)) | (~v90(constB125, bitIndex0)))))),
% 15.38/10.58 inference(modus_ponens,[status(thm)],[18688, 18687])).
% 15.38/10.58 tff(18690,plain,
% 15.38/10.58 (v122(constB125) <=> (~(v90(constB125, bitIndex2) | (~v90(constB125, bitIndex1)) | (~v90(constB125, bitIndex0))))),
% 15.38/10.58 inference(unit_resolution,[status(thm)],[18689, 734])).
% 15.38/10.58 tff(18691,plain,
% 15.38/10.58 ((v90(constB125, bitIndex2) | (~v90(constB125, bitIndex1)) | (~v90(constB125, bitIndex0))) | (~v90(constB125, bitIndex2))),
% 15.38/10.59 inference(tautology,[status(thm)],[])).
% 15.38/10.59 tff(18692,plain,
% 15.38/10.59 (v90(constB125, bitIndex2) | (~v90(constB125, bitIndex1)) | (~v90(constB125, bitIndex0))),
% 15.38/10.59 inference(unit_resolution,[status(thm)],[18691, 18533])).
% 15.38/10.59 tff(18693,plain,
% 15.38/10.59 ((~(v122(constB125) <=> (~(v90(constB125, bitIndex2) | (~v90(constB125, bitIndex1)) | (~v90(constB125, bitIndex0)))))) | (~v122(constB125)) | (~(v90(constB125, bitIndex2) | (~v90(constB125, bitIndex1)) | (~v90(constB125, bitIndex0))))),
% 15.38/10.59 inference(tautology,[status(thm)],[])).
% 15.38/10.59 tff(18694,plain,
% 15.38/10.59 (~v122(constB125)),
% 15.38/10.59 inference(unit_resolution,[status(thm)],[18693, 18692, 18690])).
% 15.38/10.59 tff(18695,plain,
% 15.38/10.59 (((~![VarCurr: $i] : (v121(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex1)))))) | (v121(constB125) <=> (~(v90(constB125, bitIndex2) | (~v90(constB125, bitIndex1)) | v90(constB125, bitIndex0))))) <=> ((~![VarCurr: $i] : (v121(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex1)))))) | (v121(constB125) <=> (~(v90(constB125, bitIndex2) | (~v90(constB125, bitIndex1)) | v90(constB125, bitIndex0)))))),
% 15.38/10.59 inference(rewrite,[status(thm)],[])).
% 15.38/10.59 tff(18696,plain,
% 15.38/10.59 ((v121(constB125) <=> (~(v90(constB125, bitIndex0) | v90(constB125, bitIndex2) | (~v90(constB125, bitIndex1))))) <=> (v121(constB125) <=> (~(v90(constB125, bitIndex2) | (~v90(constB125, bitIndex1)) | v90(constB125, bitIndex0))))),
% 15.38/10.59 inference(rewrite,[status(thm)],[])).
% 15.38/10.59 tff(18697,plain,
% 15.38/10.59 (((~![VarCurr: $i] : (v121(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex1)))))) | (v121(constB125) <=> (~(v90(constB125, bitIndex0) | v90(constB125, bitIndex2) | (~v90(constB125, bitIndex1)))))) <=> ((~![VarCurr: $i] : (v121(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex1)))))) | (v121(constB125) <=> (~(v90(constB125, bitIndex2) | (~v90(constB125, bitIndex1)) | v90(constB125, bitIndex0)))))),
% 15.38/10.59 inference(monotonicity,[status(thm)],[18696])).
% 15.38/10.59 tff(18698,plain,
% 15.38/10.59 (((~![VarCurr: $i] : (v121(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex1)))))) | (v121(constB125) <=> (~(v90(constB125, bitIndex0) | v90(constB125, bitIndex2) | (~v90(constB125, bitIndex1)))))) <=> ((~![VarCurr: $i] : (v121(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex1)))))) | (v121(constB125) <=> (~(v90(constB125, bitIndex2) | (~v90(constB125, bitIndex1)) | v90(constB125, bitIndex0)))))),
% 15.38/10.59 inference(transitivity,[status(thm)],[18697, 18695])).
% 15.38/10.59 tff(18699,plain,
% 15.38/10.59 ((~![VarCurr: $i] : (v121(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex1)))))) | (v121(constB125) <=> (~(v90(constB125, bitIndex0) | v90(constB125, bitIndex2) | (~v90(constB125, bitIndex1)))))),
% 15.38/10.59 inference(quant_inst,[status(thm)],[])).
% 15.38/10.59 tff(18700,plain,
% 15.38/10.59 ((~![VarCurr: $i] : (v121(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex1)))))) | (v121(constB125) <=> (~(v90(constB125, bitIndex2) | (~v90(constB125, bitIndex1)) | v90(constB125, bitIndex0))))),
% 15.38/10.59 inference(modus_ponens,[status(thm)],[18699, 18698])).
% 15.38/10.59 tff(18701,plain,
% 15.38/10.59 (v121(constB125) <=> (~(v90(constB125, bitIndex2) | (~v90(constB125, bitIndex1)) | v90(constB125, bitIndex0)))),
% 15.38/10.59 inference(unit_resolution,[status(thm)],[18700, 849])).
% 15.38/10.59 tff(18702,plain,
% 15.38/10.59 ((v90(constB125, bitIndex2) | (~v90(constB125, bitIndex1)) | v90(constB125, bitIndex0)) | (~v90(constB125, bitIndex2))),
% 15.38/10.59 inference(tautology,[status(thm)],[])).
% 15.38/10.59 tff(18703,plain,
% 15.38/10.59 (v90(constB125, bitIndex2) | (~v90(constB125, bitIndex1)) | v90(constB125, bitIndex0)),
% 15.38/10.59 inference(unit_resolution,[status(thm)],[18702, 18533])).
% 15.38/10.59 tff(18704,plain,
% 15.38/10.59 ((~(v121(constB125) <=> (~(v90(constB125, bitIndex2) | (~v90(constB125, bitIndex1)) | v90(constB125, bitIndex0))))) | (~v121(constB125)) | (~(v90(constB125, bitIndex2) | (~v90(constB125, bitIndex1)) | v90(constB125, bitIndex0)))),
% 15.38/10.59 inference(tautology,[status(thm)],[])).
% 15.38/10.59 tff(18705,plain,
% 15.38/10.59 (~v121(constB125)),
% 15.38/10.59 inference(unit_resolution,[status(thm)],[18704, 18703, 18701])).
% 15.38/10.59 tff(18706,plain,
% 15.38/10.59 (((~![VarCurr: $i] : (v120(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)))))) | (v120(constB125) <=> (~(v90(constB125, bitIndex2) | v90(constB125, bitIndex1) | (~v90(constB125, bitIndex0)))))) <=> ((~![VarCurr: $i] : (v120(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)))))) | (v120(constB125) <=> (~(v90(constB125, bitIndex2) | v90(constB125, bitIndex1) | (~v90(constB125, bitIndex0))))))),
% 15.38/10.59 inference(rewrite,[status(thm)],[])).
% 15.38/10.59 tff(18707,plain,
% 15.38/10.59 ((v120(constB125) <=> (~(v90(constB125, bitIndex1) | v90(constB125, bitIndex2) | (~v90(constB125, bitIndex0))))) <=> (v120(constB125) <=> (~(v90(constB125, bitIndex2) | v90(constB125, bitIndex1) | (~v90(constB125, bitIndex0)))))),
% 15.38/10.59 inference(rewrite,[status(thm)],[])).
% 15.38/10.59 tff(18708,plain,
% 15.38/10.59 (((~![VarCurr: $i] : (v120(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)))))) | (v120(constB125) <=> (~(v90(constB125, bitIndex1) | v90(constB125, bitIndex2) | (~v90(constB125, bitIndex0)))))) <=> ((~![VarCurr: $i] : (v120(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)))))) | (v120(constB125) <=> (~(v90(constB125, bitIndex2) | v90(constB125, bitIndex1) | (~v90(constB125, bitIndex0))))))),
% 15.38/10.59 inference(monotonicity,[status(thm)],[18707])).
% 15.38/10.59 tff(18709,plain,
% 15.38/10.59 (((~![VarCurr: $i] : (v120(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)))))) | (v120(constB125) <=> (~(v90(constB125, bitIndex1) | v90(constB125, bitIndex2) | (~v90(constB125, bitIndex0)))))) <=> ((~![VarCurr: $i] : (v120(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)))))) | (v120(constB125) <=> (~(v90(constB125, bitIndex2) | v90(constB125, bitIndex1) | (~v90(constB125, bitIndex0))))))),
% 15.38/10.59 inference(transitivity,[status(thm)],[18708, 18706])).
% 15.38/10.59 tff(18710,plain,
% 15.38/10.59 ((~![VarCurr: $i] : (v120(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)))))) | (v120(constB125) <=> (~(v90(constB125, bitIndex1) | v90(constB125, bitIndex2) | (~v90(constB125, bitIndex0)))))),
% 15.38/10.59 inference(quant_inst,[status(thm)],[])).
% 15.38/10.59 tff(18711,plain,
% 15.38/10.59 ((~![VarCurr: $i] : (v120(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)))))) | (v120(constB125) <=> (~(v90(constB125, bitIndex2) | v90(constB125, bitIndex1) | (~v90(constB125, bitIndex0)))))),
% 15.38/10.59 inference(modus_ponens,[status(thm)],[18710, 18709])).
% 15.38/10.59 tff(18712,plain,
% 15.38/10.59 (v120(constB125) <=> (~(v90(constB125, bitIndex2) | v90(constB125, bitIndex1) | (~v90(constB125, bitIndex0))))),
% 15.38/10.59 inference(unit_resolution,[status(thm)],[18711, 966])).
% 15.38/10.59 tff(18713,plain,
% 15.38/10.59 ((v90(constB125, bitIndex2) | v90(constB125, bitIndex1) | (~v90(constB125, bitIndex0))) | (~v90(constB125, bitIndex2))),
% 15.38/10.59 inference(tautology,[status(thm)],[])).
% 15.38/10.59 tff(18714,plain,
% 15.38/10.59 (v90(constB125, bitIndex2) | v90(constB125, bitIndex1) | (~v90(constB125, bitIndex0))),
% 15.38/10.59 inference(unit_resolution,[status(thm)],[18713, 18533])).
% 15.38/10.59 tff(18715,plain,
% 15.38/10.59 ((~(v120(constB125) <=> (~(v90(constB125, bitIndex2) | v90(constB125, bitIndex1) | (~v90(constB125, bitIndex0)))))) | (~v120(constB125)) | (~(v90(constB125, bitIndex2) | v90(constB125, bitIndex1) | (~v90(constB125, bitIndex0))))),
% 15.38/10.59 inference(tautology,[status(thm)],[])).
% 15.38/10.59 tff(18716,plain,
% 15.38/10.59 (~v120(constB125)),
% 15.38/10.59 inference(unit_resolution,[status(thm)],[18715, 18714, 18712])).
% 15.38/10.59 tff(18717,plain,
% 15.38/10.59 (((~![VarCurr: $i] : (v124(VarCurr) | v123(VarCurr) | v122(VarCurr) | v121(VarCurr) | v120(VarCurr) | v119(VarCurr) | ![B: $i] : ((~less_3(B)) | (v130(VarCurr, B) <=> b001(B))))) | (v119(constB125) | v120(constB125) | v121(constB125) | v122(constB125) | v123(constB125) | v124(constB125) | ![B: $i] : ((~less_3(B)) | (v130(constB125, B) <=> b001(B))))) <=> ((~![VarCurr: $i] : (v124(VarCurr) | v123(VarCurr) | v122(VarCurr) | v121(VarCurr) | v120(VarCurr) | v119(VarCurr) | ![B: $i] : ((~less_3(B)) | (v130(VarCurr, B) <=> b001(B))))) | v119(constB125) | v120(constB125) | v121(constB125) | v122(constB125) | v123(constB125) | v124(constB125) | ![B: $i] : ((~less_3(B)) | (v130(constB125, B) <=> b001(B))))),
% 15.38/10.59 inference(rewrite,[status(thm)],[])).
% 15.38/10.59 tff(18718,plain,
% 15.38/10.59 ((v124(constB125) | v123(constB125) | v122(constB125) | v121(constB125) | v120(constB125) | v119(constB125) | ![B: $i] : ((~less_3(B)) | (v130(constB125, B) <=> b001(B)))) <=> (v119(constB125) | v120(constB125) | v121(constB125) | v122(constB125) | v123(constB125) | v124(constB125) | ![B: $i] : ((~less_3(B)) | (v130(constB125, B) <=> b001(B))))),
% 15.38/10.59 inference(rewrite,[status(thm)],[])).
% 15.38/10.59 tff(18719,plain,
% 15.38/10.59 (((~![VarCurr: $i] : (v124(VarCurr) | v123(VarCurr) | v122(VarCurr) | v121(VarCurr) | v120(VarCurr) | v119(VarCurr) | ![B: $i] : ((~less_3(B)) | (v130(VarCurr, B) <=> b001(B))))) | (v124(constB125) | v123(constB125) | v122(constB125) | v121(constB125) | v120(constB125) | v119(constB125) | ![B: $i] : ((~less_3(B)) | (v130(constB125, B) <=> b001(B))))) <=> ((~![VarCurr: $i] : (v124(VarCurr) | v123(VarCurr) | v122(VarCurr) | v121(VarCurr) | v120(VarCurr) | v119(VarCurr) | ![B: $i] : ((~less_3(B)) | (v130(VarCurr, B) <=> b001(B))))) | (v119(constB125) | v120(constB125) | v121(constB125) | v122(constB125) | v123(constB125) | v124(constB125) | ![B: $i] : ((~less_3(B)) | (v130(constB125, B) <=> b001(B)))))),
% 15.38/10.59 inference(monotonicity,[status(thm)],[18718])).
% 15.38/10.59 tff(18720,plain,
% 15.38/10.59 (((~![VarCurr: $i] : (v124(VarCurr) | v123(VarCurr) | v122(VarCurr) | v121(VarCurr) | v120(VarCurr) | v119(VarCurr) | ![B: $i] : ((~less_3(B)) | (v130(VarCurr, B) <=> b001(B))))) | (v124(constB125) | v123(constB125) | v122(constB125) | v121(constB125) | v120(constB125) | v119(constB125) | ![B: $i] : ((~less_3(B)) | (v130(constB125, B) <=> b001(B))))) <=> ((~![VarCurr: $i] : (v124(VarCurr) | v123(VarCurr) | v122(VarCurr) | v121(VarCurr) | v120(VarCurr) | v119(VarCurr) | ![B: $i] : ((~less_3(B)) | (v130(VarCurr, B) <=> b001(B))))) | v119(constB125) | v120(constB125) | v121(constB125) | v122(constB125) | v123(constB125) | v124(constB125) | ![B: $i] : ((~less_3(B)) | (v130(constB125, B) <=> b001(B))))),
% 15.38/10.59 inference(transitivity,[status(thm)],[18719, 18717])).
% 15.38/10.59 tff(18721,plain,
% 15.38/10.59 ((~![VarCurr: $i] : (v124(VarCurr) | v123(VarCurr) | v122(VarCurr) | v121(VarCurr) | v120(VarCurr) | v119(VarCurr) | ![B: $i] : ((~less_3(B)) | (v130(VarCurr, B) <=> b001(B))))) | (v124(constB125) | v123(constB125) | v122(constB125) | v121(constB125) | v120(constB125) | v119(constB125) | ![B: $i] : ((~less_3(B)) | (v130(constB125, B) <=> b001(B))))),
% 15.38/10.59 inference(quant_inst,[status(thm)],[])).
% 15.38/10.59 tff(18722,plain,
% 15.38/10.59 ((~![VarCurr: $i] : (v124(VarCurr) | v123(VarCurr) | v122(VarCurr) | v121(VarCurr) | v120(VarCurr) | v119(VarCurr) | ![B: $i] : ((~less_3(B)) | (v130(VarCurr, B) <=> b001(B))))) | v119(constB125) | v120(constB125) | v121(constB125) | v122(constB125) | v123(constB125) | v124(constB125) | ![B: $i] : ((~less_3(B)) | (v130(constB125, B) <=> b001(B)))),
% 15.38/10.59 inference(modus_ponens,[status(thm)],[18721, 18720])).
% 15.38/10.59 tff(18723,plain,
% 15.38/10.59 (v119(constB125) | v120(constB125) | v121(constB125) | v122(constB125) | v123(constB125) | v124(constB125) | ![B: $i] : ((~less_3(B)) | (v130(constB125, B) <=> b001(B)))),
% 15.38/10.59 inference(unit_resolution,[status(thm)],[18722, 5610])).
% 15.38/10.59 tff(18724,plain,
% 15.38/10.59 (![B: $i] : ((~less_3(B)) | (v130(constB125, B) <=> b001(B)))),
% 15.38/10.59 inference(unit_resolution,[status(thm)],[18723, 18716, 18705, 18694, 18683, 18672, 18661])).
% 15.38/10.59 tff(18725,plain,
% 15.38/10.59 (((~![B: $i] : ((~less_3(B)) | (v130(constB125, B) <=> b001(B)))) | ((~less_3(bitIndex2)) | (v130(constB125, bitIndex2) <=> b001(bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v130(constB125, B) <=> b001(B)))) | (~less_3(bitIndex2)) | (v130(constB125, bitIndex2) <=> b001(bitIndex2)))),
% 15.38/10.59 inference(rewrite,[status(thm)],[])).
% 15.38/10.59 tff(18726,plain,
% 15.38/10.59 ((~![B: $i] : ((~less_3(B)) | (v130(constB125, B) <=> b001(B)))) | ((~less_3(bitIndex2)) | (v130(constB125, bitIndex2) <=> b001(bitIndex2)))),
% 15.38/10.59 inference(quant_inst,[status(thm)],[])).
% 15.38/10.59 tff(18727,plain,
% 15.38/10.59 ((~![B: $i] : ((~less_3(B)) | (v130(constB125, B) <=> b001(B)))) | (~less_3(bitIndex2)) | (v130(constB125, bitIndex2) <=> b001(bitIndex2))),
% 15.38/10.59 inference(modus_ponens,[status(thm)],[18726, 18725])).
% 15.38/10.59 tff(18728,plain,
% 15.38/10.59 (v130(constB125, bitIndex2) <=> b001(bitIndex2)),
% 15.38/10.59 inference(unit_resolution,[status(thm)],[18727, 413, 18724])).
% 15.38/10.59 tff(18729,plain,
% 15.38/10.59 ((~(v130(constB125, bitIndex2) <=> b001(bitIndex2))) | (~v130(constB125, bitIndex2)) | b001(bitIndex2)),
% 15.38/10.59 inference(tautology,[status(thm)],[])).
% 15.38/10.59 tff(18730,plain,
% 15.38/10.59 ((~(v130(constB125, bitIndex2) <=> b001(bitIndex2))) | (~v130(constB125, bitIndex2))),
% 15.38/10.59 inference(unit_resolution,[status(thm)],[18729, 5625])).
% 15.38/10.59 tff(18731,plain,
% 15.38/10.59 (~v130(constB125, bitIndex2)),
% 15.38/10.59 inference(unit_resolution,[status(thm)],[18730, 18728])).
% 15.38/10.59 tff(18732,plain,
% 15.38/10.59 ((~(v127(constB125, bitIndex2) <=> v130(constB125, bitIndex2))) | (~v127(constB125, bitIndex2)) | v130(constB125, bitIndex2)),
% 15.38/10.59 inference(tautology,[status(thm)],[])).
% 15.38/10.59 tff(18733,plain,
% 15.38/10.59 (~v127(constB125, bitIndex2)),
% 15.38/10.59 inference(unit_resolution,[status(thm)],[18732, 18731, 18655])).
% 15.38/10.59 tff(18734,plain,
% 15.38/10.59 ((~(v129(constB126, bitIndex2) <=> v127(constB125, bitIndex2))) | (~v129(constB126, bitIndex2)) | v127(constB125, bitIndex2)),
% 15.38/10.59 inference(tautology,[status(thm)],[])).
% 15.38/10.59 tff(18735,plain,
% 15.38/10.59 (~v129(constB126, bitIndex2)),
% 15.38/10.59 inference(unit_resolution,[status(thm)],[18734, 18733, 18647])).
% 15.38/10.59 tff(18736,plain,
% 15.38/10.59 ((~(v90(constB126, bitIndex2) <=> v129(constB126, bitIndex2))) | (~v90(constB126, bitIndex2)) | v129(constB126, bitIndex2)),
% 15.38/10.59 inference(tautology,[status(thm)],[])).
% 15.38/10.59 tff(18737,plain,
% 15.38/10.59 (~v90(constB126, bitIndex2)),
% 15.38/10.59 inference(unit_resolution,[status(thm)],[18736, 18735, 18639])).
% 15.38/10.59 tff(18738,plain,
% 15.38/10.59 ((~(v90(constB127, bitIndex2) <=> v90(constB126, bitIndex2))) | (~v90(constB127, bitIndex2)) | v90(constB126, bitIndex2)),
% 15.38/10.59 inference(tautology,[status(thm)],[])).
% 15.38/10.59 tff(18739,plain,
% 15.38/10.59 (~v90(constB127, bitIndex2)),
% 15.38/10.59 inference(unit_resolution,[status(thm)],[18738, 18737, 14673])).
% 15.38/10.59 tff(18740,plain,
% 15.38/10.59 (((~![B: $i] : ((~less_3(B)) | (v90(constB127, B) <=> v90(constB126, B)))) | ((~less_3(bitIndex0)) | (v90(constB127, bitIndex0) <=> v90(constB126, bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v90(constB127, B) <=> v90(constB126, B)))) | (~less_3(bitIndex0)) | (v90(constB127, bitIndex0) <=> v90(constB126, bitIndex0)))),
% 15.38/10.59 inference(rewrite,[status(thm)],[])).
% 15.38/10.59 tff(18741,plain,
% 15.38/10.59 ((~![B: $i] : ((~less_3(B)) | (v90(constB127, B) <=> v90(constB126, B)))) | ((~less_3(bitIndex0)) | (v90(constB127, bitIndex0) <=> v90(constB126, bitIndex0)))),
% 15.38/10.59 inference(quant_inst,[status(thm)],[])).
% 15.38/10.59 tff(18742,plain,
% 15.38/10.59 ((~![B: $i] : ((~less_3(B)) | (v90(constB127, B) <=> v90(constB126, B)))) | (~less_3(bitIndex0)) | (v90(constB127, bitIndex0) <=> v90(constB126, bitIndex0))),
% 15.38/10.59 inference(modus_ponens,[status(thm)],[18741, 18740])).
% 15.38/10.59 tff(18743,plain,
% 15.38/10.59 (v90(constB127, bitIndex0) <=> v90(constB126, bitIndex0)),
% 15.38/10.59 inference(unit_resolution,[status(thm)],[18742, 5004, 14669])).
% 15.38/10.59 tff(18744,plain,
% 15.38/10.59 (((~![B: $i] : ((~less_3(B)) | (v90(constB126, B) <=> v129(constB126, B)))) | ((~less_3(bitIndex0)) | (v90(constB126, bitIndex0) <=> v129(constB126, bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v90(constB126, B) <=> v129(constB126, B)))) | (~less_3(bitIndex0)) | (v90(constB126, bitIndex0) <=> v129(constB126, bitIndex0)))),
% 15.38/10.59 inference(rewrite,[status(thm)],[])).
% 15.38/10.59 tff(18745,plain,
% 15.38/10.59 ((~![B: $i] : ((~less_3(B)) | (v90(constB126, B) <=> v129(constB126, B)))) | ((~less_3(bitIndex0)) | (v90(constB126, bitIndex0) <=> v129(constB126, bitIndex0)))),
% 15.38/10.59 inference(quant_inst,[status(thm)],[])).
% 15.38/10.59 tff(18746,plain,
% 15.38/10.59 ((~![B: $i] : ((~less_3(B)) | (v90(constB126, B) <=> v129(constB126, B)))) | (~less_3(bitIndex0)) | (v90(constB126, bitIndex0) <=> v129(constB126, bitIndex0))),
% 15.38/10.59 inference(modus_ponens,[status(thm)],[18745, 18744])).
% 15.38/10.59 tff(18747,plain,
% 15.38/10.59 (v90(constB126, bitIndex0) <=> v129(constB126, bitIndex0)),
% 15.38/10.59 inference(unit_resolution,[status(thm)],[18746, 5004, 18635])).
% 15.38/10.59 tff(18748,plain,
% 15.38/10.59 (((~![B: $i] : ((~less_3(B)) | (v129(constB126, B) <=> v127(constB125, B)))) | ((~less_3(bitIndex0)) | (v129(constB126, bitIndex0) <=> v127(constB125, bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v129(constB126, B) <=> v127(constB125, B)))) | (~less_3(bitIndex0)) | (v129(constB126, bitIndex0) <=> v127(constB125, bitIndex0)))),
% 15.38/10.59 inference(rewrite,[status(thm)],[])).
% 15.38/10.59 tff(18749,plain,
% 15.38/10.59 ((~![B: $i] : ((~less_3(B)) | (v129(constB126, B) <=> v127(constB125, B)))) | ((~less_3(bitIndex0)) | (v129(constB126, bitIndex0) <=> v127(constB125, bitIndex0)))),
% 15.38/10.59 inference(quant_inst,[status(thm)],[])).
% 15.38/10.59 tff(18750,plain,
% 15.38/10.59 ((~![B: $i] : ((~less_3(B)) | (v129(constB126, B) <=> v127(constB125, B)))) | (~less_3(bitIndex0)) | (v129(constB126, bitIndex0) <=> v127(constB125, bitIndex0))),
% 15.38/10.59 inference(modus_ponens,[status(thm)],[18749, 18748])).
% 15.38/10.59 tff(18751,plain,
% 15.38/10.59 (v129(constB126, bitIndex0) <=> v127(constB125, bitIndex0)),
% 15.38/10.59 inference(unit_resolution,[status(thm)],[18750, 5004, 18643])).
% 15.38/10.59 tff(18752,plain,
% 15.38/10.59 (((~![B: $i] : ((~less_3(B)) | (v127(constB125, B) <=> v130(constB125, B)))) | ((~less_3(bitIndex0)) | (v127(constB125, bitIndex0) <=> v130(constB125, bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v127(constB125, B) <=> v130(constB125, B)))) | (~less_3(bitIndex0)) | (v127(constB125, bitIndex0) <=> v130(constB125, bitIndex0)))),
% 15.38/10.59 inference(rewrite,[status(thm)],[])).
% 15.38/10.59 tff(18753,plain,
% 15.38/10.59 ((~![B: $i] : ((~less_3(B)) | (v127(constB125, B) <=> v130(constB125, B)))) | ((~less_3(bitIndex0)) | (v127(constB125, bitIndex0) <=> v130(constB125, bitIndex0)))),
% 15.38/10.59 inference(quant_inst,[status(thm)],[])).
% 15.38/10.59 tff(18754,plain,
% 15.38/10.59 ((~![B: $i] : ((~less_3(B)) | (v127(constB125, B) <=> v130(constB125, B)))) | (~less_3(bitIndex0)) | (v127(constB125, bitIndex0) <=> v130(constB125, bitIndex0))),
% 15.38/10.59 inference(modus_ponens,[status(thm)],[18753, 18752])).
% 15.38/10.59 tff(18755,plain,
% 15.38/10.59 (v127(constB125, bitIndex0) <=> v130(constB125, bitIndex0)),
% 15.38/10.59 inference(unit_resolution,[status(thm)],[18754, 5004, 18651])).
% 15.38/10.59 tff(18756,plain,
% 15.38/10.59 (((~![B: $i] : ((~less_3(B)) | (v130(constB125, B) <=> b001(B)))) | ((~less_3(bitIndex0)) | (v130(constB125, bitIndex0) <=> b001(bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v130(constB125, B) <=> b001(B)))) | (~less_3(bitIndex0)) | (v130(constB125, bitIndex0) <=> b001(bitIndex0)))),
% 15.38/10.59 inference(rewrite,[status(thm)],[])).
% 15.38/10.59 tff(18757,plain,
% 15.38/10.59 ((~![B: $i] : ((~less_3(B)) | (v130(constB125, B) <=> b001(B)))) | ((~less_3(bitIndex0)) | (v130(constB125, bitIndex0) <=> b001(bitIndex0)))),
% 15.38/10.59 inference(quant_inst,[status(thm)],[])).
% 15.38/10.59 tff(18758,plain,
% 15.38/10.59 ((~![B: $i] : ((~less_3(B)) | (v130(constB125, B) <=> b001(B)))) | (~less_3(bitIndex0)) | (v130(constB125, bitIndex0) <=> b001(bitIndex0))),
% 15.38/10.59 inference(modus_ponens,[status(thm)],[18757, 18756])).
% 15.38/10.59 tff(18759,plain,
% 15.38/10.59 (v130(constB125, bitIndex0) <=> b001(bitIndex0)),
% 15.38/10.59 inference(unit_resolution,[status(thm)],[18758, 5004, 18724])).
% 15.38/10.59 tff(18760,plain,
% 15.38/10.59 ((~(v130(constB125, bitIndex0) <=> b001(bitIndex0))) | v130(constB125, bitIndex0) | (~b001(bitIndex0))),
% 15.38/10.59 inference(tautology,[status(thm)],[])).
% 15.38/10.59 tff(18761,plain,
% 15.38/10.59 ((~(v130(constB125, bitIndex0) <=> b001(bitIndex0))) | v130(constB125, bitIndex0)),
% 15.38/10.59 inference(unit_resolution,[status(thm)],[18760, 5659])).
% 15.38/10.59 tff(18762,plain,
% 15.38/10.59 (v130(constB125, bitIndex0)),
% 15.38/10.59 inference(unit_resolution,[status(thm)],[18761, 18759])).
% 15.38/10.59 tff(18763,plain,
% 15.38/10.59 ((~(v127(constB125, bitIndex0) <=> v130(constB125, bitIndex0))) | v127(constB125, bitIndex0) | (~v130(constB125, bitIndex0))),
% 15.38/10.59 inference(tautology,[status(thm)],[])).
% 15.38/10.59 tff(18764,plain,
% 15.38/10.59 (v127(constB125, bitIndex0)),
% 15.38/10.59 inference(unit_resolution,[status(thm)],[18763, 18762, 18755])).
% 15.38/10.59 tff(18765,plain,
% 15.38/10.59 ((~(v129(constB126, bitIndex0) <=> v127(constB125, bitIndex0))) | v129(constB126, bitIndex0) | (~v127(constB125, bitIndex0))),
% 15.38/10.59 inference(tautology,[status(thm)],[])).
% 15.38/10.59 tff(18766,plain,
% 15.38/10.59 (v129(constB126, bitIndex0)),
% 15.38/10.59 inference(unit_resolution,[status(thm)],[18765, 18764, 18751])).
% 15.38/10.59 tff(18767,plain,
% 15.38/10.59 ((~(v90(constB126, bitIndex0) <=> v129(constB126, bitIndex0))) | v90(constB126, bitIndex0) | (~v129(constB126, bitIndex0))),
% 15.38/10.59 inference(tautology,[status(thm)],[])).
% 15.38/10.59 tff(18768,plain,
% 15.38/10.59 (v90(constB126, bitIndex0)),
% 15.38/10.59 inference(unit_resolution,[status(thm)],[18767, 18766, 18747])).
% 15.38/10.59 tff(18769,plain,
% 15.38/10.59 ((~(v90(constB127, bitIndex0) <=> v90(constB126, bitIndex0))) | v90(constB127, bitIndex0) | (~v90(constB126, bitIndex0))),
% 15.38/10.59 inference(tautology,[status(thm)],[])).
% 15.38/10.59 tff(18770,plain,
% 15.38/10.59 (v90(constB127, bitIndex0)),
% 15.38/10.59 inference(unit_resolution,[status(thm)],[18769, 18768, 18743])).
% 15.38/10.59 tff(18771,plain,
% 15.38/10.59 (((~![B: $i] : ((~less_3(B)) | (v90(constB127, B) <=> v90(constB126, B)))) | ((~less_3(bitIndex1)) | (v90(constB127, bitIndex1) <=> v90(constB126, bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v90(constB127, B) <=> v90(constB126, B)))) | (~less_3(bitIndex1)) | (v90(constB127, bitIndex1) <=> v90(constB126, bitIndex1)))),
% 15.38/10.59 inference(rewrite,[status(thm)],[])).
% 15.38/10.59 tff(18772,plain,
% 15.38/10.59 ((~![B: $i] : ((~less_3(B)) | (v90(constB127, B) <=> v90(constB126, B)))) | ((~less_3(bitIndex1)) | (v90(constB127, bitIndex1) <=> v90(constB126, bitIndex1)))),
% 15.38/10.59 inference(quant_inst,[status(thm)],[])).
% 15.38/10.59 tff(18773,plain,
% 15.38/10.59 ((~![B: $i] : ((~less_3(B)) | (v90(constB127, B) <=> v90(constB126, B)))) | (~less_3(bitIndex1)) | (v90(constB127, bitIndex1) <=> v90(constB126, bitIndex1))),
% 15.38/10.59 inference(modus_ponens,[status(thm)],[18772, 18771])).
% 15.38/10.59 tff(18774,plain,
% 15.38/10.59 (v90(constB127, bitIndex1) <=> v90(constB126, bitIndex1)),
% 15.38/10.59 inference(unit_resolution,[status(thm)],[18773, 5017, 14669])).
% 15.38/10.59 tff(18775,plain,
% 15.38/10.59 (((~![B: $i] : ((~less_3(B)) | (v90(constB126, B) <=> v129(constB126, B)))) | ((~less_3(bitIndex1)) | (v90(constB126, bitIndex1) <=> v129(constB126, bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v90(constB126, B) <=> v129(constB126, B)))) | (~less_3(bitIndex1)) | (v90(constB126, bitIndex1) <=> v129(constB126, bitIndex1)))),
% 15.38/10.59 inference(rewrite,[status(thm)],[])).
% 15.38/10.59 tff(18776,plain,
% 15.38/10.59 ((~![B: $i] : ((~less_3(B)) | (v90(constB126, B) <=> v129(constB126, B)))) | ((~less_3(bitIndex1)) | (v90(constB126, bitIndex1) <=> v129(constB126, bitIndex1)))),
% 15.38/10.59 inference(quant_inst,[status(thm)],[])).
% 15.38/10.59 tff(18777,plain,
% 15.38/10.59 ((~![B: $i] : ((~less_3(B)) | (v90(constB126, B) <=> v129(constB126, B)))) | (~less_3(bitIndex1)) | (v90(constB126, bitIndex1) <=> v129(constB126, bitIndex1))),
% 15.38/10.59 inference(modus_ponens,[status(thm)],[18776, 18775])).
% 15.38/10.59 tff(18778,plain,
% 15.38/10.59 (v90(constB126, bitIndex1) <=> v129(constB126, bitIndex1)),
% 15.38/10.59 inference(unit_resolution,[status(thm)],[18777, 5017, 18635])).
% 15.38/10.59 tff(18779,plain,
% 15.38/10.59 (((~![B: $i] : ((~less_3(B)) | (v129(constB126, B) <=> v127(constB125, B)))) | ((~less_3(bitIndex1)) | (v129(constB126, bitIndex1) <=> v127(constB125, bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v129(constB126, B) <=> v127(constB125, B)))) | (~less_3(bitIndex1)) | (v129(constB126, bitIndex1) <=> v127(constB125, bitIndex1)))),
% 15.38/10.59 inference(rewrite,[status(thm)],[])).
% 15.38/10.59 tff(18780,plain,
% 15.38/10.59 ((~![B: $i] : ((~less_3(B)) | (v129(constB126, B) <=> v127(constB125, B)))) | ((~less_3(bitIndex1)) | (v129(constB126, bitIndex1) <=> v127(constB125, bitIndex1)))),
% 15.38/10.59 inference(quant_inst,[status(thm)],[])).
% 15.38/10.59 tff(18781,plain,
% 15.38/10.59 ((~![B: $i] : ((~less_3(B)) | (v129(constB126, B) <=> v127(constB125, B)))) | (~less_3(bitIndex1)) | (v129(constB126, bitIndex1) <=> v127(constB125, bitIndex1))),
% 15.38/10.59 inference(modus_ponens,[status(thm)],[18780, 18779])).
% 15.38/10.59 tff(18782,plain,
% 15.38/10.59 (v129(constB126, bitIndex1) <=> v127(constB125, bitIndex1)),
% 15.38/10.59 inference(unit_resolution,[status(thm)],[18781, 5017, 18643])).
% 15.38/10.59 tff(18783,plain,
% 15.38/10.59 (((~![B: $i] : ((~less_3(B)) | (v127(constB125, B) <=> v130(constB125, B)))) | ((~less_3(bitIndex1)) | (v127(constB125, bitIndex1) <=> v130(constB125, bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v127(constB125, B) <=> v130(constB125, B)))) | (~less_3(bitIndex1)) | (v127(constB125, bitIndex1) <=> v130(constB125, bitIndex1)))),
% 15.38/10.59 inference(rewrite,[status(thm)],[])).
% 15.38/10.60 tff(18784,plain,
% 15.38/10.60 ((~![B: $i] : ((~less_3(B)) | (v127(constB125, B) <=> v130(constB125, B)))) | ((~less_3(bitIndex1)) | (v127(constB125, bitIndex1) <=> v130(constB125, bitIndex1)))),
% 15.38/10.60 inference(quant_inst,[status(thm)],[])).
% 15.38/10.60 tff(18785,plain,
% 15.38/10.60 ((~![B: $i] : ((~less_3(B)) | (v127(constB125, B) <=> v130(constB125, B)))) | (~less_3(bitIndex1)) | (v127(constB125, bitIndex1) <=> v130(constB125, bitIndex1))),
% 15.38/10.60 inference(modus_ponens,[status(thm)],[18784, 18783])).
% 15.38/10.60 tff(18786,plain,
% 15.38/10.60 (v127(constB125, bitIndex1) <=> v130(constB125, bitIndex1)),
% 15.38/10.60 inference(unit_resolution,[status(thm)],[18785, 5017, 18651])).
% 15.38/10.60 tff(18787,plain,
% 15.38/10.60 (((~![B: $i] : ((~less_3(B)) | (v130(constB125, B) <=> b001(B)))) | ((~less_3(bitIndex1)) | (v130(constB125, bitIndex1) <=> b001(bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v130(constB125, B) <=> b001(B)))) | (~less_3(bitIndex1)) | (v130(constB125, bitIndex1) <=> b001(bitIndex1)))),
% 15.38/10.60 inference(rewrite,[status(thm)],[])).
% 15.38/10.60 tff(18788,plain,
% 15.38/10.60 ((~![B: $i] : ((~less_3(B)) | (v130(constB125, B) <=> b001(B)))) | ((~less_3(bitIndex1)) | (v130(constB125, bitIndex1) <=> b001(bitIndex1)))),
% 15.38/10.60 inference(quant_inst,[status(thm)],[])).
% 15.38/10.60 tff(18789,plain,
% 15.38/10.60 ((~![B: $i] : ((~less_3(B)) | (v130(constB125, B) <=> b001(B)))) | (~less_3(bitIndex1)) | (v130(constB125, bitIndex1) <=> b001(bitIndex1))),
% 15.38/10.60 inference(modus_ponens,[status(thm)],[18788, 18787])).
% 15.38/10.60 tff(18790,plain,
% 15.38/10.60 (v130(constB125, bitIndex1) <=> b001(bitIndex1)),
% 15.38/10.60 inference(unit_resolution,[status(thm)],[18789, 5017, 18724])).
% 15.38/10.60 tff(18791,plain,
% 15.38/10.60 ((~(v130(constB125, bitIndex1) <=> b001(bitIndex1))) | (~v130(constB125, bitIndex1)) | b001(bitIndex1)),
% 15.38/10.60 inference(tautology,[status(thm)],[])).
% 15.38/10.60 tff(18792,plain,
% 15.38/10.60 ((~(v130(constB125, bitIndex1) <=> b001(bitIndex1))) | (~v130(constB125, bitIndex1))),
% 15.38/10.60 inference(unit_resolution,[status(thm)],[18791, 5693])).
% 15.38/10.60 tff(18793,plain,
% 15.38/10.60 (~v130(constB125, bitIndex1)),
% 15.38/10.60 inference(unit_resolution,[status(thm)],[18792, 18790])).
% 15.38/10.60 tff(18794,plain,
% 15.38/10.60 ((~(v127(constB125, bitIndex1) <=> v130(constB125, bitIndex1))) | (~v127(constB125, bitIndex1)) | v130(constB125, bitIndex1)),
% 15.38/10.60 inference(tautology,[status(thm)],[])).
% 15.38/10.60 tff(18795,plain,
% 15.38/10.60 (~v127(constB125, bitIndex1)),
% 15.38/10.60 inference(unit_resolution,[status(thm)],[18794, 18793, 18786])).
% 15.38/10.60 tff(18796,plain,
% 15.38/10.60 ((~(v129(constB126, bitIndex1) <=> v127(constB125, bitIndex1))) | (~v129(constB126, bitIndex1)) | v127(constB125, bitIndex1)),
% 15.38/10.60 inference(tautology,[status(thm)],[])).
% 15.38/10.60 tff(18797,plain,
% 15.38/10.60 (~v129(constB126, bitIndex1)),
% 15.38/10.60 inference(unit_resolution,[status(thm)],[18796, 18795, 18782])).
% 15.38/10.60 tff(18798,plain,
% 15.38/10.60 ((~(v90(constB126, bitIndex1) <=> v129(constB126, bitIndex1))) | (~v90(constB126, bitIndex1)) | v129(constB126, bitIndex1)),
% 15.38/10.60 inference(tautology,[status(thm)],[])).
% 15.38/10.60 tff(18799,plain,
% 15.38/10.60 (~v90(constB126, bitIndex1)),
% 15.38/10.60 inference(unit_resolution,[status(thm)],[18798, 18797, 18778])).
% 15.38/10.60 tff(18800,plain,
% 15.38/10.60 ((~(v90(constB127, bitIndex1) <=> v90(constB126, bitIndex1))) | (~v90(constB127, bitIndex1)) | v90(constB126, bitIndex1)),
% 15.38/10.60 inference(tautology,[status(thm)],[])).
% 15.38/10.60 tff(18801,plain,
% 15.38/10.60 (~v90(constB127, bitIndex1)),
% 15.38/10.60 inference(unit_resolution,[status(thm)],[18800, 18799, 18774])).
% 15.38/10.60 tff(18802,plain,
% 15.38/10.60 ((~(v90(constB127, bitIndex2) | v90(constB127, bitIndex1) | (~v90(constB127, bitIndex0)))) | v90(constB127, bitIndex2) | v90(constB127, bitIndex1) | (~v90(constB127, bitIndex0))),
% 15.38/10.60 inference(tautology,[status(thm)],[])).
% 15.38/10.60 tff(18803,plain,
% 15.38/10.60 (~(v90(constB127, bitIndex2) | v90(constB127, bitIndex1) | (~v90(constB127, bitIndex0)))),
% 15.38/10.60 inference(unit_resolution,[status(thm)],[18802, 18801, 18770, 18739])).
% 15.38/10.60 tff(18804,plain,
% 15.38/10.60 ((~(v120(constB127) <=> (~(v90(constB127, bitIndex2) | v90(constB127, bitIndex1) | (~v90(constB127, bitIndex0)))))) | v120(constB127) | (v90(constB127, bitIndex2) | v90(constB127, bitIndex1) | (~v90(constB127, bitIndex0)))),
% 15.38/10.60 inference(tautology,[status(thm)],[])).
% 15.38/10.60 tff(18805,plain,
% 15.38/10.60 (v120(constB127)),
% 15.38/10.60 inference(unit_resolution,[status(thm)],[18804, 18803, 14641])).
% 15.38/10.60 tff(18806,plain,
% 15.38/10.60 ((v119(constB127) | v120(constB127)) | (~v120(constB127))),
% 15.38/10.60 inference(tautology,[status(thm)],[])).
% 15.38/10.60 tff(18807,plain,
% 15.38/10.60 (v119(constB127) | v120(constB127)),
% 15.38/10.60 inference(unit_resolution,[status(thm)],[18806, 18805])).
% 15.38/10.60 tff(18808,plain,
% 15.38/10.60 ((~(v118(constB127) <=> (v119(constB127) | v120(constB127)))) | v118(constB127) | (~(v119(constB127) | v120(constB127)))),
% 15.38/10.60 inference(tautology,[status(thm)],[])).
% 15.38/10.60 tff(18809,plain,
% 15.38/10.60 (v118(constB127)),
% 15.38/10.60 inference(unit_resolution,[status(thm)],[18808, 18807, 14634])).
% 15.38/10.60 tff(18810,plain,
% 15.38/10.60 ((v118(constB127) | v121(constB127)) | (~v118(constB127))),
% 15.38/10.60 inference(tautology,[status(thm)],[])).
% 15.38/10.60 tff(18811,plain,
% 15.38/10.60 (v118(constB127) | v121(constB127)),
% 15.38/10.60 inference(unit_resolution,[status(thm)],[18810, 18809])).
% 15.38/10.60 tff(18812,plain,
% 15.38/10.60 ((~(v117(constB127) <=> (v118(constB127) | v121(constB127)))) | v117(constB127) | (~(v118(constB127) | v121(constB127)))),
% 15.38/10.60 inference(tautology,[status(thm)],[])).
% 15.38/10.60 tff(18813,plain,
% 15.38/10.60 (v117(constB127)),
% 15.38/10.60 inference(unit_resolution,[status(thm)],[18812, 18811, 14632])).
% 15.38/10.60 tff(18814,plain,
% 15.38/10.60 ((v117(constB127) | v122(constB127)) | (~v117(constB127))),
% 15.38/10.60 inference(tautology,[status(thm)],[])).
% 15.38/10.60 tff(18815,plain,
% 15.38/10.60 (v117(constB127) | v122(constB127)),
% 15.38/10.60 inference(unit_resolution,[status(thm)],[18814, 18813])).
% 15.38/10.60 tff(18816,plain,
% 15.38/10.60 ((~(v116(constB127) <=> (v117(constB127) | v122(constB127)))) | v116(constB127) | (~(v117(constB127) | v122(constB127)))),
% 15.38/10.60 inference(tautology,[status(thm)],[])).
% 15.38/10.60 tff(18817,plain,
% 15.38/10.60 (v116(constB127)),
% 15.38/10.60 inference(unit_resolution,[status(thm)],[18816, 18815, 14630])).
% 15.38/10.60 tff(18818,plain,
% 15.38/10.60 ((v116(constB127) | v123(constB127)) | (~v116(constB127))),
% 15.38/10.60 inference(tautology,[status(thm)],[])).
% 15.38/10.60 tff(18819,plain,
% 15.38/10.60 (v116(constB127) | v123(constB127)),
% 15.38/10.60 inference(unit_resolution,[status(thm)],[18818, 18817])).
% 15.38/10.60 tff(18820,plain,
% 15.38/10.60 ((~(v115(constB127) <=> (v116(constB127) | v123(constB127)))) | v115(constB127) | (~(v116(constB127) | v123(constB127)))),
% 15.38/10.60 inference(tautology,[status(thm)],[])).
% 15.38/10.60 tff(18821,plain,
% 15.38/10.60 (v115(constB127)),
% 15.38/10.60 inference(unit_resolution,[status(thm)],[18820, 18819, 14628])).
% 15.38/10.60 tff(18822,plain,
% 15.38/10.60 ((v115(constB127) | v124(constB127)) | (~v115(constB127))),
% 15.38/10.60 inference(tautology,[status(thm)],[])).
% 15.38/10.60 tff(18823,plain,
% 15.38/10.60 (v115(constB127) | v124(constB127)),
% 15.38/10.60 inference(unit_resolution,[status(thm)],[18822, 18821])).
% 15.38/10.60 tff(18824,plain,
% 15.38/10.60 ((~(v114(constB127) <=> (v115(constB127) | v124(constB127)))) | v114(constB127) | (~(v115(constB127) | v124(constB127)))),
% 15.38/10.60 inference(tautology,[status(thm)],[])).
% 15.38/10.60 tff(18825,plain,
% 15.38/10.60 (v114(constB127)),
% 15.38/10.60 inference(unit_resolution,[status(thm)],[18824, 18823, 14626])).
% 15.38/10.60 tff(18826,plain,
% 15.38/10.60 ((v114(constB127) | v125(constB127)) | (~v114(constB127))),
% 15.38/10.60 inference(tautology,[status(thm)],[])).
% 15.38/10.60 tff(18827,plain,
% 15.38/10.60 (v114(constB127) | v125(constB127)),
% 15.38/10.60 inference(unit_resolution,[status(thm)],[18826, 18825])).
% 15.38/10.60 tff(18828,plain,
% 15.38/10.60 ((~(v113(constB127) <=> (v114(constB127) | v125(constB127)))) | v113(constB127) | (~(v114(constB127) | v125(constB127)))),
% 15.38/10.60 inference(tautology,[status(thm)],[])).
% 15.38/10.60 tff(18829,plain,
% 15.38/10.60 (v113(constB127)),
% 15.38/10.60 inference(unit_resolution,[status(thm)],[18828, 18827, 14624])).
% 15.38/10.60 tff(18830,plain,
% 15.38/10.60 ((~![VarCurr: $i] : ((~v126(VarCurr)) <=> v111(VarCurr))) | ((~v126(constB127)) <=> v111(constB127))),
% 15.38/10.60 inference(quant_inst,[status(thm)],[])).
% 15.38/10.60 tff(18831,plain,
% 15.38/10.60 ((~v126(constB127)) <=> v111(constB127)),
% 15.38/10.60 inference(unit_resolution,[status(thm)],[18830, 5074])).
% 15.38/10.60 tff(18832,plain,
% 15.38/10.60 ((~![VarCurr: $i] : (v111(VarCurr) <=> v26(VarCurr))) | (v111(constB127) <=> v26(constB127))),
% 15.38/10.60 inference(quant_inst,[status(thm)],[])).
% 15.38/10.60 tff(18833,plain,
% 15.38/10.60 (v111(constB127) <=> v26(constB127)),
% 15.38/10.60 inference(unit_resolution,[status(thm)],[18832, 5086])).
% 15.38/10.60 tff(18834,plain,
% 15.38/10.60 ((~![VarCurr: $i] : (~v26(VarCurr))) | (~v26(constB127))),
% 15.38/10.60 inference(quant_inst,[status(thm)],[])).
% 15.38/10.60 tff(18835,plain,
% 15.38/10.60 (~v26(constB127)),
% 15.38/10.60 inference(unit_resolution,[status(thm)],[18834, 5098])).
% 15.38/10.60 tff(18836,plain,
% 15.38/10.60 ((~(v111(constB127) <=> v26(constB127))) | (~v111(constB127)) | v26(constB127)),
% 15.38/10.60 inference(tautology,[status(thm)],[])).
% 15.38/10.60 tff(18837,plain,
% 15.38/10.60 ((~(v111(constB127) <=> v26(constB127))) | (~v111(constB127))),
% 15.38/10.60 inference(unit_resolution,[status(thm)],[18836, 18835])).
% 15.38/10.60 tff(18838,plain,
% 15.38/10.60 (~v111(constB127)),
% 15.38/10.60 inference(unit_resolution,[status(thm)],[18837, 18833])).
% 15.38/10.60 tff(18839,plain,
% 15.38/10.60 ((~((~v126(constB127)) <=> v111(constB127))) | v126(constB127) | v111(constB127)),
% 15.38/10.60 inference(tautology,[status(thm)],[])).
% 15.38/10.60 tff(18840,plain,
% 15.38/10.60 ((~((~v126(constB127)) <=> v111(constB127))) | v126(constB127)),
% 15.38/10.60 inference(unit_resolution,[status(thm)],[18839, 18838])).
% 15.38/10.60 tff(18841,plain,
% 15.38/10.60 (v126(constB127)),
% 15.38/10.60 inference(unit_resolution,[status(thm)],[18840, 18831])).
% 15.38/10.60 tff(18842,plain,
% 15.38/10.60 ((~((~v113(constB127)) | (~v126(constB127)))) | (~v113(constB127)) | (~v126(constB127))),
% 15.38/10.60 inference(tautology,[status(thm)],[])).
% 15.38/10.60 tff(18843,plain,
% 15.38/10.60 ((~((~v113(constB127)) | (~v126(constB127)))) | (~v113(constB127))),
% 15.38/10.60 inference(unit_resolution,[status(thm)],[18842, 18841])).
% 15.38/10.60 tff(18844,plain,
% 15.38/10.60 (~((~v113(constB127)) | (~v126(constB127)))),
% 15.38/10.60 inference(unit_resolution,[status(thm)],[18843, 18829])).
% 15.38/10.60 tff(18845,plain,
% 15.38/10.60 ((~(v112(constB127) <=> (~((~v113(constB127)) | (~v126(constB127)))))) | v112(constB127) | ((~v113(constB127)) | (~v126(constB127)))),
% 15.38/10.60 inference(tautology,[status(thm)],[])).
% 15.38/10.60 tff(18846,plain,
% 15.38/10.60 (v112(constB127)),
% 15.38/10.60 inference(unit_resolution,[status(thm)],[18845, 18844, 14622])).
% 15.38/10.60 tff(18847,plain,
% 15.38/10.60 ((v111(constB127) | v112(constB127)) | (~v112(constB127))),
% 15.38/10.60 inference(tautology,[status(thm)],[])).
% 15.38/10.60 tff(18848,plain,
% 15.38/10.60 (v111(constB127) | v112(constB127)),
% 15.38/10.60 inference(unit_resolution,[status(thm)],[18847, 18846])).
% 15.38/10.60 tff(18849,plain,
% 15.38/10.60 ((~(v108(constB127) <=> (v111(constB127) | v112(constB127)))) | v108(constB127) | (~(v111(constB127) | v112(constB127)))),
% 15.38/10.60 inference(tautology,[status(thm)],[])).
% 15.38/10.60 tff(18850,plain,
% 15.38/10.60 (v108(constB127)),
% 15.38/10.60 inference(unit_resolution,[status(thm)],[18849, 18848, 14620])).
% 15.38/10.60 tff(18851,plain,
% 15.38/10.60 ((~(v110(constB128) <=> v108(constB127))) | v110(constB128) | (~v108(constB127))),
% 15.38/10.60 inference(tautology,[status(thm)],[])).
% 15.38/10.60 tff(18852,plain,
% 15.38/10.60 (v110(constB128)),
% 15.38/10.60 inference(unit_resolution,[status(thm)],[18851, 18850, 14618])).
% 15.38/10.60 tff(18853,plain,
% 15.38/10.60 ((~((~v101(constB128)) | (~v110(constB128)))) | (~v101(constB128)) | (~v110(constB128))),
% 15.38/10.60 inference(tautology,[status(thm)],[])).
% 15.38/10.60 tff(18854,plain,
% 15.38/10.60 (~((~v101(constB128)) | (~v110(constB128)))),
% 15.38/10.60 inference(unit_resolution,[status(thm)],[18853, 18852, 14614])).
% 15.38/10.60 tff(18855,plain,
% 15.38/10.60 ((~(v100(constB128) <=> (~((~v101(constB128)) | (~v110(constB128)))))) | v100(constB128) | ((~v101(constB128)) | (~v110(constB128)))),
% 15.38/10.60 inference(tautology,[status(thm)],[])).
% 15.38/10.60 tff(18856,plain,
% 15.38/10.60 (v100(constB128)),
% 15.38/10.60 inference(unit_resolution,[status(thm)],[18855, 18854, 14583])).
% 15.38/10.60 tff(18857,plain,
% 15.38/10.60 (((~![VarNext: $i] : ((~v100(VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v129(VarNext, B))))) | ((~v100(constB128)) | ![B: $i] : ((~less_3(B)) | (v90(constB128, B) <=> v129(constB128, B))))) <=> ((~![VarNext: $i] : ((~v100(VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v129(VarNext, B))))) | (~v100(constB128)) | ![B: $i] : ((~less_3(B)) | (v90(constB128, B) <=> v129(constB128, B))))),
% 15.38/10.60 inference(rewrite,[status(thm)],[])).
% 15.38/10.60 tff(18858,plain,
% 15.38/10.60 ((~![VarNext: $i] : ((~v100(VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v129(VarNext, B))))) | ((~v100(constB128)) | ![B: $i] : ((~less_3(B)) | (v90(constB128, B) <=> v129(constB128, B))))),
% 15.38/10.60 inference(quant_inst,[status(thm)],[])).
% 15.38/10.60 tff(18859,plain,
% 15.38/10.60 ((~![VarNext: $i] : ((~v100(VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v129(VarNext, B))))) | (~v100(constB128)) | ![B: $i] : ((~less_3(B)) | (v90(constB128, B) <=> v129(constB128, B)))),
% 15.38/10.60 inference(modus_ponens,[status(thm)],[18858, 18857])).
% 15.38/10.60 tff(18860,plain,
% 15.38/10.60 ((~v100(constB128)) | ![B: $i] : ((~less_3(B)) | (v90(constB128, B) <=> v129(constB128, B)))),
% 15.38/10.60 inference(unit_resolution,[status(thm)],[18859, 5134])).
% 15.38/10.60 tff(18861,plain,
% 15.38/10.60 (![B: $i] : ((~less_3(B)) | (v90(constB128, B) <=> v129(constB128, B)))),
% 15.38/10.60 inference(unit_resolution,[status(thm)],[18860, 18856])).
% 15.38/10.60 tff(18862,plain,
% 15.38/10.60 (((~![B: $i] : ((~less_3(B)) | (v90(constB128, B) <=> v129(constB128, B)))) | ((~less_3(bitIndex2)) | (v90(constB128, bitIndex2) <=> v129(constB128, bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v90(constB128, B) <=> v129(constB128, B)))) | (~less_3(bitIndex2)) | (v90(constB128, bitIndex2) <=> v129(constB128, bitIndex2)))),
% 15.38/10.60 inference(rewrite,[status(thm)],[])).
% 15.38/10.60 tff(18863,plain,
% 15.38/10.60 ((~![B: $i] : ((~less_3(B)) | (v90(constB128, B) <=> v129(constB128, B)))) | ((~less_3(bitIndex2)) | (v90(constB128, bitIndex2) <=> v129(constB128, bitIndex2)))),
% 15.38/10.60 inference(quant_inst,[status(thm)],[])).
% 15.38/10.60 tff(18864,plain,
% 15.38/10.60 ((~![B: $i] : ((~less_3(B)) | (v90(constB128, B) <=> v129(constB128, B)))) | (~less_3(bitIndex2)) | (v90(constB128, bitIndex2) <=> v129(constB128, bitIndex2))),
% 15.38/10.60 inference(modus_ponens,[status(thm)],[18863, 18862])).
% 15.38/10.60 tff(18865,plain,
% 15.38/10.60 (v90(constB128, bitIndex2) <=> v129(constB128, bitIndex2)),
% 15.38/10.60 inference(unit_resolution,[status(thm)],[18864, 413, 18861])).
% 15.38/10.60 tff(18866,plain,
% 15.38/10.60 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v129(VarNext, B) <=> v127(VarCurr, B))))) | ((~nextState(constB127, constB128)) | ![B: $i] : ((~less_3(B)) | (v129(constB128, B) <=> v127(constB127, B))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v129(VarNext, B) <=> v127(VarCurr, B))))) | (~nextState(constB127, constB128)) | ![B: $i] : ((~less_3(B)) | (v129(constB128, B) <=> v127(constB127, B))))),
% 15.38/10.60 inference(rewrite,[status(thm)],[])).
% 15.38/10.60 tff(18867,plain,
% 15.38/10.60 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v129(VarNext, B) <=> v127(VarCurr, B))))) | ((~nextState(constB127, constB128)) | ![B: $i] : ((~less_3(B)) | (v129(constB128, B) <=> v127(constB127, B))))),
% 15.38/10.60 inference(quant_inst,[status(thm)],[])).
% 15.38/10.60 tff(18868,plain,
% 15.38/10.60 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v129(VarNext, B) <=> v127(VarCurr, B))))) | (~nextState(constB127, constB128)) | ![B: $i] : ((~less_3(B)) | (v129(constB128, B) <=> v127(constB127, B)))),
% 15.38/10.60 inference(modus_ponens,[status(thm)],[18867, 18866])).
% 15.38/10.60 tff(18869,plain,
% 15.38/10.60 (![B: $i] : ((~less_3(B)) | (v129(constB128, B) <=> v127(constB127, B)))),
% 15.38/10.60 inference(unit_resolution,[status(thm)],[18868, 14579, 5156])).
% 15.38/10.60 tff(18870,plain,
% 15.38/10.60 (((~![B: $i] : ((~less_3(B)) | (v129(constB128, B) <=> v127(constB127, B)))) | ((~less_3(bitIndex2)) | (v129(constB128, bitIndex2) <=> v127(constB127, bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v129(constB128, B) <=> v127(constB127, B)))) | (~less_3(bitIndex2)) | (v129(constB128, bitIndex2) <=> v127(constB127, bitIndex2)))),
% 15.38/10.60 inference(rewrite,[status(thm)],[])).
% 15.38/10.60 tff(18871,plain,
% 15.38/10.60 ((~![B: $i] : ((~less_3(B)) | (v129(constB128, B) <=> v127(constB127, B)))) | ((~less_3(bitIndex2)) | (v129(constB128, bitIndex2) <=> v127(constB127, bitIndex2)))),
% 15.38/10.60 inference(quant_inst,[status(thm)],[])).
% 15.38/10.60 tff(18872,plain,
% 15.38/10.60 ((~![B: $i] : ((~less_3(B)) | (v129(constB128, B) <=> v127(constB127, B)))) | (~less_3(bitIndex2)) | (v129(constB128, bitIndex2) <=> v127(constB127, bitIndex2))),
% 15.38/10.60 inference(modus_ponens,[status(thm)],[18871, 18870])).
% 15.38/10.60 tff(18873,plain,
% 15.38/10.60 (v129(constB128, bitIndex2) <=> v127(constB127, bitIndex2)),
% 15.38/10.60 inference(unit_resolution,[status(thm)],[18872, 413, 18869])).
% 15.38/10.60 tff(18874,plain,
% 15.38/10.60 (((~![VarCurr: $i] : (v111(VarCurr) | ![B: $i] : ((~less_3(B)) | (v127(VarCurr, B) <=> v130(VarCurr, B))))) | (v111(constB127) | ![B: $i] : ((~less_3(B)) | (v127(constB127, B) <=> v130(constB127, B))))) <=> ((~![VarCurr: $i] : (v111(VarCurr) | ![B: $i] : ((~less_3(B)) | (v127(VarCurr, B) <=> v130(VarCurr, B))))) | v111(constB127) | ![B: $i] : ((~less_3(B)) | (v127(constB127, B) <=> v130(constB127, B))))),
% 15.38/10.60 inference(rewrite,[status(thm)],[])).
% 15.38/10.60 tff(18875,plain,
% 15.38/10.60 ((~![VarCurr: $i] : (v111(VarCurr) | ![B: $i] : ((~less_3(B)) | (v127(VarCurr, B) <=> v130(VarCurr, B))))) | (v111(constB127) | ![B: $i] : ((~less_3(B)) | (v127(constB127, B) <=> v130(constB127, B))))),
% 15.38/10.60 inference(quant_inst,[status(thm)],[])).
% 15.38/10.60 tff(18876,plain,
% 15.38/10.60 ((~![VarCurr: $i] : (v111(VarCurr) | ![B: $i] : ((~less_3(B)) | (v127(VarCurr, B) <=> v130(VarCurr, B))))) | v111(constB127) | ![B: $i] : ((~less_3(B)) | (v127(constB127, B) <=> v130(constB127, B)))),
% 15.38/10.60 inference(modus_ponens,[status(thm)],[18875, 18874])).
% 15.38/10.60 tff(18877,plain,
% 15.38/10.60 (![B: $i] : ((~less_3(B)) | (v127(constB127, B) <=> v130(constB127, B)))),
% 15.38/10.60 inference(unit_resolution,[status(thm)],[18876, 5177, 18838])).
% 15.38/10.60 tff(18878,plain,
% 15.38/10.60 (((~![B: $i] : ((~less_3(B)) | (v127(constB127, B) <=> v130(constB127, B)))) | ((~less_3(bitIndex2)) | (v127(constB127, bitIndex2) <=> v130(constB127, bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v127(constB127, B) <=> v130(constB127, B)))) | (~less_3(bitIndex2)) | (v127(constB127, bitIndex2) <=> v130(constB127, bitIndex2)))),
% 15.38/10.60 inference(rewrite,[status(thm)],[])).
% 15.38/10.60 tff(18879,plain,
% 15.38/10.60 ((~![B: $i] : ((~less_3(B)) | (v127(constB127, B) <=> v130(constB127, B)))) | ((~less_3(bitIndex2)) | (v127(constB127, bitIndex2) <=> v130(constB127, bitIndex2)))),
% 15.38/10.60 inference(quant_inst,[status(thm)],[])).
% 15.38/10.60 tff(18880,plain,
% 15.38/10.60 ((~![B: $i] : ((~less_3(B)) | (v127(constB127, B) <=> v130(constB127, B)))) | (~less_3(bitIndex2)) | (v127(constB127, bitIndex2) <=> v130(constB127, bitIndex2))),
% 15.38/10.60 inference(modus_ponens,[status(thm)],[18879, 18878])).
% 15.38/10.60 tff(18881,plain,
% 15.38/10.60 (v127(constB127, bitIndex2) <=> v130(constB127, bitIndex2)),
% 15.38/10.60 inference(unit_resolution,[status(thm)],[18880, 413, 18877])).
% 15.38/10.60 tff(18882,plain,
% 15.38/10.60 (((~![VarCurr: $i] : ((~v120(VarCurr)) | ![B: $i] : ((~less_3(B)) | (v130(VarCurr, B) <=> b010(B))))) | ((~v120(constB127)) | ![B: $i] : ((~less_3(B)) | (v130(constB127, B) <=> b010(B))))) <=> ((~![VarCurr: $i] : ((~v120(VarCurr)) | ![B: $i] : ((~less_3(B)) | (v130(VarCurr, B) <=> b010(B))))) | (~v120(constB127)) | ![B: $i] : ((~less_3(B)) | (v130(constB127, B) <=> b010(B))))),
% 15.38/10.60 inference(rewrite,[status(thm)],[])).
% 15.38/10.60 tff(18883,plain,
% 15.38/10.60 ((~![VarCurr: $i] : ((~v120(VarCurr)) | ![B: $i] : ((~less_3(B)) | (v130(VarCurr, B) <=> b010(B))))) | ((~v120(constB127)) | ![B: $i] : ((~less_3(B)) | (v130(constB127, B) <=> b010(B))))),
% 15.38/10.60 inference(quant_inst,[status(thm)],[])).
% 15.38/10.60 tff(18884,plain,
% 15.38/10.60 ((~![VarCurr: $i] : ((~v120(VarCurr)) | ![B: $i] : ((~less_3(B)) | (v130(VarCurr, B) <=> b010(B))))) | (~v120(constB127)) | ![B: $i] : ((~less_3(B)) | (v130(constB127, B) <=> b010(B)))),
% 15.38/10.60 inference(modus_ponens,[status(thm)],[18883, 18882])).
% 15.38/10.60 tff(18885,plain,
% 15.38/10.60 ((~v120(constB127)) | ![B: $i] : ((~less_3(B)) | (v130(constB127, B) <=> b010(B)))),
% 15.38/10.60 inference(unit_resolution,[status(thm)],[18884, 5797])).
% 15.38/10.60 tff(18886,plain,
% 15.38/10.60 (![B: $i] : ((~less_3(B)) | (v130(constB127, B) <=> b010(B)))),
% 15.38/10.60 inference(unit_resolution,[status(thm)],[18885, 18805])).
% 15.38/10.60 tff(18887,plain,
% 15.38/10.60 (((~![B: $i] : ((~less_3(B)) | (v130(constB127, B) <=> b010(B)))) | ((~less_3(bitIndex2)) | (v130(constB127, bitIndex2) <=> b010(bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v130(constB127, B) <=> b010(B)))) | (~less_3(bitIndex2)) | (v130(constB127, bitIndex2) <=> b010(bitIndex2)))),
% 15.38/10.60 inference(rewrite,[status(thm)],[])).
% 15.38/10.60 tff(18888,plain,
% 15.38/10.60 ((~![B: $i] : ((~less_3(B)) | (v130(constB127, B) <=> b010(B)))) | ((~less_3(bitIndex2)) | (v130(constB127, bitIndex2) <=> b010(bitIndex2)))),
% 15.38/10.60 inference(quant_inst,[status(thm)],[])).
% 15.38/10.60 tff(18889,plain,
% 15.38/10.60 ((~![B: $i] : ((~less_3(B)) | (v130(constB127, B) <=> b010(B)))) | (~less_3(bitIndex2)) | (v130(constB127, bitIndex2) <=> b010(bitIndex2))),
% 15.38/10.60 inference(modus_ponens,[status(thm)],[18888, 18887])).
% 15.38/10.60 tff(18890,plain,
% 15.38/10.60 (v130(constB127, bitIndex2) <=> b010(bitIndex2)),
% 15.38/10.60 inference(unit_resolution,[status(thm)],[18889, 413, 18886])).
% 15.38/10.60 tff(18891,plain,
% 15.38/10.60 ((~(v130(constB127, bitIndex2) <=> b010(bitIndex2))) | (~v130(constB127, bitIndex2)) | b010(bitIndex2)),
% 15.38/10.60 inference(tautology,[status(thm)],[])).
% 15.38/10.60 tff(18892,plain,
% 15.38/10.60 ((~(v130(constB127, bitIndex2) <=> b010(bitIndex2))) | (~v130(constB127, bitIndex2))),
% 15.38/10.60 inference(unit_resolution,[status(thm)],[18891, 5809])).
% 15.38/10.60 tff(18893,plain,
% 15.38/10.60 (~v130(constB127, bitIndex2)),
% 15.38/10.60 inference(unit_resolution,[status(thm)],[18892, 18890])).
% 15.38/10.60 tff(18894,plain,
% 15.38/10.60 ((~(v127(constB127, bitIndex2) <=> v130(constB127, bitIndex2))) | (~v127(constB127, bitIndex2)) | v130(constB127, bitIndex2)),
% 15.38/10.60 inference(tautology,[status(thm)],[])).
% 15.38/10.60 tff(18895,plain,
% 15.38/10.60 (~v127(constB127, bitIndex2)),
% 15.38/10.60 inference(unit_resolution,[status(thm)],[18894, 18893, 18881])).
% 15.38/10.60 tff(18896,plain,
% 15.38/10.60 ((~(v129(constB128, bitIndex2) <=> v127(constB127, bitIndex2))) | (~v129(constB128, bitIndex2)) | v127(constB127, bitIndex2)),
% 15.38/10.60 inference(tautology,[status(thm)],[])).
% 15.38/10.60 tff(18897,plain,
% 15.38/10.60 (~v129(constB128, bitIndex2)),
% 15.38/10.60 inference(unit_resolution,[status(thm)],[18896, 18895, 18873])).
% 15.38/10.60 tff(18898,plain,
% 15.38/10.60 ((~(v90(constB128, bitIndex2) <=> v129(constB128, bitIndex2))) | (~v90(constB128, bitIndex2)) | v129(constB128, bitIndex2)),
% 15.38/10.60 inference(tautology,[status(thm)],[])).
% 15.38/10.60 tff(18899,plain,
% 15.38/10.60 (~v90(constB128, bitIndex2)),
% 15.38/10.60 inference(unit_resolution,[status(thm)],[18898, 18897, 18865])).
% 15.38/10.60 tff(18900,plain,
% 15.38/10.60 ((~(v90(constB129, bitIndex2) <=> v90(constB128, bitIndex2))) | (~v90(constB129, bitIndex2)) | v90(constB128, bitIndex2)),
% 15.38/10.60 inference(tautology,[status(thm)],[])).
% 15.38/10.60 tff(18901,plain,
% 15.38/10.60 (~v90(constB129, bitIndex2)),
% 15.38/10.60 inference(unit_resolution,[status(thm)],[18900, 18899, 14576])).
% 15.38/10.60 tff(18902,plain,
% 15.38/10.60 (((~![B: $i] : ((~less_3(B)) | (v90(constB129, B) <=> v90(constB128, B)))) | ((~less_3(bitIndex0)) | (v90(constB129, bitIndex0) <=> v90(constB128, bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v90(constB129, B) <=> v90(constB128, B)))) | (~less_3(bitIndex0)) | (v90(constB129, bitIndex0) <=> v90(constB128, bitIndex0)))),
% 15.38/10.60 inference(rewrite,[status(thm)],[])).
% 15.38/10.60 tff(18903,plain,
% 15.38/10.60 ((~![B: $i] : ((~less_3(B)) | (v90(constB129, B) <=> v90(constB128, B)))) | ((~less_3(bitIndex0)) | (v90(constB129, bitIndex0) <=> v90(constB128, bitIndex0)))),
% 15.38/10.60 inference(quant_inst,[status(thm)],[])).
% 15.38/10.60 tff(18904,plain,
% 15.38/10.60 ((~![B: $i] : ((~less_3(B)) | (v90(constB129, B) <=> v90(constB128, B)))) | (~less_3(bitIndex0)) | (v90(constB129, bitIndex0) <=> v90(constB128, bitIndex0))),
% 15.38/10.60 inference(modus_ponens,[status(thm)],[18903, 18902])).
% 15.38/10.60 tff(18905,plain,
% 15.38/10.60 (v90(constB129, bitIndex0) <=> v90(constB128, bitIndex0)),
% 15.38/10.60 inference(unit_resolution,[status(thm)],[18904, 5004, 14572])).
% 15.38/10.60 tff(18906,plain,
% 15.38/10.60 (((~![B: $i] : ((~less_3(B)) | (v90(constB128, B) <=> v129(constB128, B)))) | ((~less_3(bitIndex0)) | (v90(constB128, bitIndex0) <=> v129(constB128, bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v90(constB128, B) <=> v129(constB128, B)))) | (~less_3(bitIndex0)) | (v90(constB128, bitIndex0) <=> v129(constB128, bitIndex0)))),
% 15.38/10.60 inference(rewrite,[status(thm)],[])).
% 15.38/10.60 tff(18907,plain,
% 15.38/10.60 ((~![B: $i] : ((~less_3(B)) | (v90(constB128, B) <=> v129(constB128, B)))) | ((~less_3(bitIndex0)) | (v90(constB128, bitIndex0) <=> v129(constB128, bitIndex0)))),
% 15.38/10.60 inference(quant_inst,[status(thm)],[])).
% 15.38/10.60 tff(18908,plain,
% 15.38/10.60 ((~![B: $i] : ((~less_3(B)) | (v90(constB128, B) <=> v129(constB128, B)))) | (~less_3(bitIndex0)) | (v90(constB128, bitIndex0) <=> v129(constB128, bitIndex0))),
% 15.38/10.60 inference(modus_ponens,[status(thm)],[18907, 18906])).
% 15.38/10.60 tff(18909,plain,
% 15.38/10.60 (v90(constB128, bitIndex0) <=> v129(constB128, bitIndex0)),
% 15.38/10.60 inference(unit_resolution,[status(thm)],[18908, 5004, 18861])).
% 15.38/10.60 tff(18910,plain,
% 15.38/10.60 (((~![B: $i] : ((~less_3(B)) | (v129(constB128, B) <=> v127(constB127, B)))) | ((~less_3(bitIndex0)) | (v129(constB128, bitIndex0) <=> v127(constB127, bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v129(constB128, B) <=> v127(constB127, B)))) | (~less_3(bitIndex0)) | (v129(constB128, bitIndex0) <=> v127(constB127, bitIndex0)))),
% 15.38/10.60 inference(rewrite,[status(thm)],[])).
% 15.38/10.60 tff(18911,plain,
% 15.38/10.60 ((~![B: $i] : ((~less_3(B)) | (v129(constB128, B) <=> v127(constB127, B)))) | ((~less_3(bitIndex0)) | (v129(constB128, bitIndex0) <=> v127(constB127, bitIndex0)))),
% 15.38/10.60 inference(quant_inst,[status(thm)],[])).
% 15.38/10.60 tff(18912,plain,
% 15.38/10.60 ((~![B: $i] : ((~less_3(B)) | (v129(constB128, B) <=> v127(constB127, B)))) | (~less_3(bitIndex0)) | (v129(constB128, bitIndex0) <=> v127(constB127, bitIndex0))),
% 15.38/10.60 inference(modus_ponens,[status(thm)],[18911, 18910])).
% 15.38/10.60 tff(18913,plain,
% 15.38/10.60 (v129(constB128, bitIndex0) <=> v127(constB127, bitIndex0)),
% 15.38/10.60 inference(unit_resolution,[status(thm)],[18912, 5004, 18869])).
% 15.38/10.60 tff(18914,plain,
% 15.38/10.60 (((~![B: $i] : ((~less_3(B)) | (v127(constB127, B) <=> v130(constB127, B)))) | ((~less_3(bitIndex0)) | (v127(constB127, bitIndex0) <=> v130(constB127, bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v127(constB127, B) <=> v130(constB127, B)))) | (~less_3(bitIndex0)) | (v127(constB127, bitIndex0) <=> v130(constB127, bitIndex0)))),
% 15.38/10.60 inference(rewrite,[status(thm)],[])).
% 15.38/10.60 tff(18915,plain,
% 15.38/10.60 ((~![B: $i] : ((~less_3(B)) | (v127(constB127, B) <=> v130(constB127, B)))) | ((~less_3(bitIndex0)) | (v127(constB127, bitIndex0) <=> v130(constB127, bitIndex0)))),
% 15.38/10.60 inference(quant_inst,[status(thm)],[])).
% 15.38/10.60 tff(18916,plain,
% 15.38/10.60 ((~![B: $i] : ((~less_3(B)) | (v127(constB127, B) <=> v130(constB127, B)))) | (~less_3(bitIndex0)) | (v127(constB127, bitIndex0) <=> v130(constB127, bitIndex0))),
% 15.38/10.60 inference(modus_ponens,[status(thm)],[18915, 18914])).
% 15.38/10.60 tff(18917,plain,
% 15.38/10.60 (v127(constB127, bitIndex0) <=> v130(constB127, bitIndex0)),
% 15.38/10.60 inference(unit_resolution,[status(thm)],[18916, 5004, 18877])).
% 15.38/10.60 tff(18918,plain,
% 15.38/10.60 (((~![B: $i] : ((~less_3(B)) | (v130(constB127, B) <=> b010(B)))) | ((~less_3(bitIndex0)) | (v130(constB127, bitIndex0) <=> b010(bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v130(constB127, B) <=> b010(B)))) | (~less_3(bitIndex0)) | (v130(constB127, bitIndex0) <=> b010(bitIndex0)))),
% 15.38/10.60 inference(rewrite,[status(thm)],[])).
% 15.38/10.60 tff(18919,plain,
% 15.38/10.60 ((~![B: $i] : ((~less_3(B)) | (v130(constB127, B) <=> b010(B)))) | ((~less_3(bitIndex0)) | (v130(constB127, bitIndex0) <=> b010(bitIndex0)))),
% 15.38/10.60 inference(quant_inst,[status(thm)],[])).
% 15.38/10.60 tff(18920,plain,
% 15.38/10.60 ((~![B: $i] : ((~less_3(B)) | (v130(constB127, B) <=> b010(B)))) | (~less_3(bitIndex0)) | (v130(constB127, bitIndex0) <=> b010(bitIndex0))),
% 15.38/10.60 inference(modus_ponens,[status(thm)],[18919, 18918])).
% 15.38/10.60 tff(18921,plain,
% 15.38/10.60 (v130(constB127, bitIndex0) <=> b010(bitIndex0)),
% 15.38/10.60 inference(unit_resolution,[status(thm)],[18920, 5004, 18886])).
% 15.38/10.60 tff(18922,plain,
% 15.38/10.60 ((~(v130(constB127, bitIndex0) <=> b010(bitIndex0))) | (~v130(constB127, bitIndex0)) | b010(bitIndex0)),
% 15.38/10.60 inference(tautology,[status(thm)],[])).
% 15.38/10.60 tff(18923,plain,
% 15.38/10.60 ((~(v130(constB127, bitIndex0) <=> b010(bitIndex0))) | (~v130(constB127, bitIndex0))),
% 15.38/10.60 inference(unit_resolution,[status(thm)],[18922, 5843])).
% 15.38/10.60 tff(18924,plain,
% 15.38/10.60 (~v130(constB127, bitIndex0)),
% 15.38/10.60 inference(unit_resolution,[status(thm)],[18923, 18921])).
% 15.38/10.60 tff(18925,plain,
% 15.38/10.60 ((~(v127(constB127, bitIndex0) <=> v130(constB127, bitIndex0))) | (~v127(constB127, bitIndex0)) | v130(constB127, bitIndex0)),
% 15.38/10.60 inference(tautology,[status(thm)],[])).
% 15.38/10.60 tff(18926,plain,
% 15.38/10.60 (~v127(constB127, bitIndex0)),
% 15.38/10.60 inference(unit_resolution,[status(thm)],[18925, 18924, 18917])).
% 15.38/10.60 tff(18927,plain,
% 15.38/10.60 ((~(v129(constB128, bitIndex0) <=> v127(constB127, bitIndex0))) | (~v129(constB128, bitIndex0)) | v127(constB127, bitIndex0)),
% 15.38/10.60 inference(tautology,[status(thm)],[])).
% 15.38/10.60 tff(18928,plain,
% 15.38/10.60 (~v129(constB128, bitIndex0)),
% 15.38/10.60 inference(unit_resolution,[status(thm)],[18927, 18926, 18913])).
% 15.38/10.60 tff(18929,plain,
% 15.38/10.60 ((~(v90(constB128, bitIndex0) <=> v129(constB128, bitIndex0))) | (~v90(constB128, bitIndex0)) | v129(constB128, bitIndex0)),
% 15.38/10.60 inference(tautology,[status(thm)],[])).
% 15.38/10.60 tff(18930,plain,
% 15.38/10.60 (~v90(constB128, bitIndex0)),
% 15.38/10.60 inference(unit_resolution,[status(thm)],[18929, 18928, 18909])).
% 15.38/10.60 tff(18931,plain,
% 15.38/10.60 ((~(v90(constB129, bitIndex0) <=> v90(constB128, bitIndex0))) | (~v90(constB129, bitIndex0)) | v90(constB128, bitIndex0)),
% 15.38/10.60 inference(tautology,[status(thm)],[])).
% 15.38/10.60 tff(18932,plain,
% 15.38/10.60 (~v90(constB129, bitIndex0)),
% 15.38/10.60 inference(unit_resolution,[status(thm)],[18931, 18930, 18905])).
% 15.38/10.60 tff(18933,plain,
% 15.38/10.60 (((~![B: $i] : ((~less_3(B)) | (v90(constB129, B) <=> v90(constB128, B)))) | ((~less_3(bitIndex1)) | (v90(constB129, bitIndex1) <=> v90(constB128, bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v90(constB129, B) <=> v90(constB128, B)))) | (~less_3(bitIndex1)) | (v90(constB129, bitIndex1) <=> v90(constB128, bitIndex1)))),
% 15.38/10.61 inference(rewrite,[status(thm)],[])).
% 15.38/10.61 tff(18934,plain,
% 15.38/10.61 ((~![B: $i] : ((~less_3(B)) | (v90(constB129, B) <=> v90(constB128, B)))) | ((~less_3(bitIndex1)) | (v90(constB129, bitIndex1) <=> v90(constB128, bitIndex1)))),
% 15.38/10.61 inference(quant_inst,[status(thm)],[])).
% 15.38/10.61 tff(18935,plain,
% 15.38/10.61 ((~![B: $i] : ((~less_3(B)) | (v90(constB129, B) <=> v90(constB128, B)))) | (~less_3(bitIndex1)) | (v90(constB129, bitIndex1) <=> v90(constB128, bitIndex1))),
% 15.38/10.61 inference(modus_ponens,[status(thm)],[18934, 18933])).
% 15.38/10.61 tff(18936,plain,
% 15.38/10.61 (v90(constB129, bitIndex1) <=> v90(constB128, bitIndex1)),
% 15.38/10.61 inference(unit_resolution,[status(thm)],[18935, 5017, 14572])).
% 15.38/10.61 tff(18937,plain,
% 15.38/10.61 (((~![B: $i] : ((~less_3(B)) | (v90(constB128, B) <=> v129(constB128, B)))) | ((~less_3(bitIndex1)) | (v90(constB128, bitIndex1) <=> v129(constB128, bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v90(constB128, B) <=> v129(constB128, B)))) | (~less_3(bitIndex1)) | (v90(constB128, bitIndex1) <=> v129(constB128, bitIndex1)))),
% 15.38/10.61 inference(rewrite,[status(thm)],[])).
% 15.38/10.61 tff(18938,plain,
% 15.38/10.61 ((~![B: $i] : ((~less_3(B)) | (v90(constB128, B) <=> v129(constB128, B)))) | ((~less_3(bitIndex1)) | (v90(constB128, bitIndex1) <=> v129(constB128, bitIndex1)))),
% 15.38/10.61 inference(quant_inst,[status(thm)],[])).
% 15.38/10.61 tff(18939,plain,
% 15.38/10.61 ((~![B: $i] : ((~less_3(B)) | (v90(constB128, B) <=> v129(constB128, B)))) | (~less_3(bitIndex1)) | (v90(constB128, bitIndex1) <=> v129(constB128, bitIndex1))),
% 15.38/10.61 inference(modus_ponens,[status(thm)],[18938, 18937])).
% 15.38/10.61 tff(18940,plain,
% 15.38/10.61 (v90(constB128, bitIndex1) <=> v129(constB128, bitIndex1)),
% 15.38/10.61 inference(unit_resolution,[status(thm)],[18939, 5017, 18861])).
% 15.38/10.61 tff(18941,plain,
% 15.38/10.61 (((~![B: $i] : ((~less_3(B)) | (v129(constB128, B) <=> v127(constB127, B)))) | ((~less_3(bitIndex1)) | (v129(constB128, bitIndex1) <=> v127(constB127, bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v129(constB128, B) <=> v127(constB127, B)))) | (~less_3(bitIndex1)) | (v129(constB128, bitIndex1) <=> v127(constB127, bitIndex1)))),
% 15.38/10.61 inference(rewrite,[status(thm)],[])).
% 15.38/10.61 tff(18942,plain,
% 15.38/10.61 ((~![B: $i] : ((~less_3(B)) | (v129(constB128, B) <=> v127(constB127, B)))) | ((~less_3(bitIndex1)) | (v129(constB128, bitIndex1) <=> v127(constB127, bitIndex1)))),
% 15.38/10.61 inference(quant_inst,[status(thm)],[])).
% 15.38/10.61 tff(18943,plain,
% 15.38/10.61 ((~![B: $i] : ((~less_3(B)) | (v129(constB128, B) <=> v127(constB127, B)))) | (~less_3(bitIndex1)) | (v129(constB128, bitIndex1) <=> v127(constB127, bitIndex1))),
% 15.38/10.61 inference(modus_ponens,[status(thm)],[18942, 18941])).
% 15.38/10.61 tff(18944,plain,
% 15.38/10.61 (v129(constB128, bitIndex1) <=> v127(constB127, bitIndex1)),
% 15.38/10.61 inference(unit_resolution,[status(thm)],[18943, 5017, 18869])).
% 15.38/10.61 tff(18945,plain,
% 15.38/10.61 (((~![B: $i] : ((~less_3(B)) | (v127(constB127, B) <=> v130(constB127, B)))) | ((~less_3(bitIndex1)) | (v127(constB127, bitIndex1) <=> v130(constB127, bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v127(constB127, B) <=> v130(constB127, B)))) | (~less_3(bitIndex1)) | (v127(constB127, bitIndex1) <=> v130(constB127, bitIndex1)))),
% 15.38/10.61 inference(rewrite,[status(thm)],[])).
% 15.38/10.61 tff(18946,plain,
% 15.38/10.61 ((~![B: $i] : ((~less_3(B)) | (v127(constB127, B) <=> v130(constB127, B)))) | ((~less_3(bitIndex1)) | (v127(constB127, bitIndex1) <=> v130(constB127, bitIndex1)))),
% 15.38/10.61 inference(quant_inst,[status(thm)],[])).
% 15.38/10.61 tff(18947,plain,
% 15.38/10.61 ((~![B: $i] : ((~less_3(B)) | (v127(constB127, B) <=> v130(constB127, B)))) | (~less_3(bitIndex1)) | (v127(constB127, bitIndex1) <=> v130(constB127, bitIndex1))),
% 15.38/10.61 inference(modus_ponens,[status(thm)],[18946, 18945])).
% 15.38/10.61 tff(18948,plain,
% 15.38/10.61 (v127(constB127, bitIndex1) <=> v130(constB127, bitIndex1)),
% 15.38/10.61 inference(unit_resolution,[status(thm)],[18947, 5017, 18877])).
% 15.38/10.61 tff(18949,plain,
% 15.38/10.61 (((~![B: $i] : ((~less_3(B)) | (v130(constB127, B) <=> b010(B)))) | ((~less_3(bitIndex1)) | (v130(constB127, bitIndex1) <=> b010(bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v130(constB127, B) <=> b010(B)))) | (~less_3(bitIndex1)) | (v130(constB127, bitIndex1) <=> b010(bitIndex1)))),
% 15.38/10.61 inference(rewrite,[status(thm)],[])).
% 15.38/10.61 tff(18950,plain,
% 15.38/10.61 ((~![B: $i] : ((~less_3(B)) | (v130(constB127, B) <=> b010(B)))) | ((~less_3(bitIndex1)) | (v130(constB127, bitIndex1) <=> b010(bitIndex1)))),
% 15.38/10.61 inference(quant_inst,[status(thm)],[])).
% 15.38/10.61 tff(18951,plain,
% 15.38/10.61 ((~![B: $i] : ((~less_3(B)) | (v130(constB127, B) <=> b010(B)))) | (~less_3(bitIndex1)) | (v130(constB127, bitIndex1) <=> b010(bitIndex1))),
% 15.38/10.61 inference(modus_ponens,[status(thm)],[18950, 18949])).
% 15.38/10.61 tff(18952,plain,
% 15.38/10.61 (v130(constB127, bitIndex1) <=> b010(bitIndex1)),
% 15.38/10.61 inference(unit_resolution,[status(thm)],[18951, 5017, 18886])).
% 15.38/10.61 tff(18953,plain,
% 15.38/10.61 ((~(v130(constB127, bitIndex1) <=> b010(bitIndex1))) | v130(constB127, bitIndex1) | (~b010(bitIndex1))),
% 15.38/10.61 inference(tautology,[status(thm)],[])).
% 15.38/10.61 tff(18954,plain,
% 15.38/10.61 ((~(v130(constB127, bitIndex1) <=> b010(bitIndex1))) | v130(constB127, bitIndex1)),
% 15.38/10.61 inference(unit_resolution,[status(thm)],[18953, 5877])).
% 15.38/10.61 tff(18955,plain,
% 15.38/10.61 (v130(constB127, bitIndex1)),
% 15.38/10.61 inference(unit_resolution,[status(thm)],[18954, 18952])).
% 15.38/10.61 tff(18956,plain,
% 15.38/10.61 ((~(v127(constB127, bitIndex1) <=> v130(constB127, bitIndex1))) | v127(constB127, bitIndex1) | (~v130(constB127, bitIndex1))),
% 15.38/10.61 inference(tautology,[status(thm)],[])).
% 15.38/10.61 tff(18957,plain,
% 15.38/10.61 (v127(constB127, bitIndex1)),
% 15.38/10.61 inference(unit_resolution,[status(thm)],[18956, 18955, 18948])).
% 15.38/10.61 tff(18958,plain,
% 15.38/10.61 ((~(v129(constB128, bitIndex1) <=> v127(constB127, bitIndex1))) | v129(constB128, bitIndex1) | (~v127(constB127, bitIndex1))),
% 15.38/10.61 inference(tautology,[status(thm)],[])).
% 15.38/10.61 tff(18959,plain,
% 15.38/10.61 (v129(constB128, bitIndex1)),
% 15.38/10.61 inference(unit_resolution,[status(thm)],[18958, 18957, 18944])).
% 15.38/10.61 tff(18960,plain,
% 15.38/10.61 ((~(v90(constB128, bitIndex1) <=> v129(constB128, bitIndex1))) | v90(constB128, bitIndex1) | (~v129(constB128, bitIndex1))),
% 15.38/10.61 inference(tautology,[status(thm)],[])).
% 15.38/10.61 tff(18961,plain,
% 15.38/10.61 (v90(constB128, bitIndex1)),
% 15.38/10.61 inference(unit_resolution,[status(thm)],[18960, 18959, 18940])).
% 15.38/10.61 tff(18962,plain,
% 15.38/10.61 ((~(v90(constB129, bitIndex1) <=> v90(constB128, bitIndex1))) | v90(constB129, bitIndex1) | (~v90(constB128, bitIndex1))),
% 15.38/10.61 inference(tautology,[status(thm)],[])).
% 15.38/10.61 tff(18963,plain,
% 15.38/10.61 (v90(constB129, bitIndex1)),
% 15.38/10.61 inference(unit_resolution,[status(thm)],[18962, 18961, 18936])).
% 15.38/10.61 tff(18964,plain,
% 15.38/10.61 ((~(v90(constB129, bitIndex2) | (~v90(constB129, bitIndex1)) | v90(constB129, bitIndex0))) | v90(constB129, bitIndex2) | (~v90(constB129, bitIndex1)) | v90(constB129, bitIndex0)),
% 15.38/10.61 inference(tautology,[status(thm)],[])).
% 15.38/10.61 tff(18965,plain,
% 15.38/10.61 (~(v90(constB129, bitIndex2) | (~v90(constB129, bitIndex1)) | v90(constB129, bitIndex0))),
% 15.38/10.61 inference(unit_resolution,[status(thm)],[18964, 18963, 18932, 18901])).
% 15.38/10.61 tff(18966,plain,
% 15.38/10.61 ((~(v121(constB129) <=> (~(v90(constB129, bitIndex2) | (~v90(constB129, bitIndex1)) | v90(constB129, bitIndex0))))) | v121(constB129) | (v90(constB129, bitIndex2) | (~v90(constB129, bitIndex1)) | v90(constB129, bitIndex0))),
% 15.38/10.61 inference(tautology,[status(thm)],[])).
% 15.38/10.61 tff(18967,plain,
% 15.38/10.61 (v121(constB129)),
% 15.38/10.61 inference(unit_resolution,[status(thm)],[18966, 18965, 14544])).
% 15.38/10.61 tff(18968,plain,
% 15.38/10.61 ((v118(constB129) | v121(constB129)) | (~v121(constB129))),
% 15.38/10.61 inference(tautology,[status(thm)],[])).
% 15.38/10.61 tff(18969,plain,
% 15.38/10.61 (v118(constB129) | v121(constB129)),
% 15.38/10.61 inference(unit_resolution,[status(thm)],[18968, 18967])).
% 15.38/10.61 tff(18970,plain,
% 15.38/10.61 ((~(v117(constB129) <=> (v118(constB129) | v121(constB129)))) | v117(constB129) | (~(v118(constB129) | v121(constB129)))),
% 15.38/10.61 inference(tautology,[status(thm)],[])).
% 15.38/10.61 tff(18971,plain,
% 15.38/10.61 (v117(constB129)),
% 15.38/10.61 inference(unit_resolution,[status(thm)],[18970, 18969, 14537])).
% 15.38/10.61 tff(18972,plain,
% 15.38/10.61 ((v117(constB129) | v122(constB129)) | (~v117(constB129))),
% 15.38/10.61 inference(tautology,[status(thm)],[])).
% 15.38/10.61 tff(18973,plain,
% 15.38/10.61 (v117(constB129) | v122(constB129)),
% 15.38/10.61 inference(unit_resolution,[status(thm)],[18972, 18971])).
% 15.38/10.61 tff(18974,plain,
% 15.38/10.61 ((~(v116(constB129) <=> (v117(constB129) | v122(constB129)))) | v116(constB129) | (~(v117(constB129) | v122(constB129)))),
% 15.38/10.61 inference(tautology,[status(thm)],[])).
% 15.38/10.61 tff(18975,plain,
% 15.38/10.61 (v116(constB129)),
% 15.38/10.61 inference(unit_resolution,[status(thm)],[18974, 18973, 14535])).
% 15.38/10.61 tff(18976,plain,
% 15.38/10.61 ((v116(constB129) | v123(constB129)) | (~v116(constB129))),
% 15.38/10.61 inference(tautology,[status(thm)],[])).
% 15.38/10.61 tff(18977,plain,
% 15.38/10.61 (v116(constB129) | v123(constB129)),
% 15.38/10.61 inference(unit_resolution,[status(thm)],[18976, 18975])).
% 15.38/10.61 tff(18978,plain,
% 15.38/10.61 ((~(v115(constB129) <=> (v116(constB129) | v123(constB129)))) | v115(constB129) | (~(v116(constB129) | v123(constB129)))),
% 15.38/10.61 inference(tautology,[status(thm)],[])).
% 15.38/10.61 tff(18979,plain,
% 15.38/10.61 (v115(constB129)),
% 15.38/10.61 inference(unit_resolution,[status(thm)],[18978, 18977, 14533])).
% 15.38/10.61 tff(18980,plain,
% 15.38/10.61 ((v115(constB129) | v124(constB129)) | (~v115(constB129))),
% 15.38/10.61 inference(tautology,[status(thm)],[])).
% 15.38/10.61 tff(18981,plain,
% 15.38/10.61 (v115(constB129) | v124(constB129)),
% 15.38/10.61 inference(unit_resolution,[status(thm)],[18980, 18979])).
% 15.38/10.61 tff(18982,plain,
% 15.38/10.61 ((~(v114(constB129) <=> (v115(constB129) | v124(constB129)))) | v114(constB129) | (~(v115(constB129) | v124(constB129)))),
% 15.38/10.61 inference(tautology,[status(thm)],[])).
% 15.38/10.61 tff(18983,plain,
% 15.38/10.61 (v114(constB129)),
% 15.38/10.61 inference(unit_resolution,[status(thm)],[18982, 18981, 14531])).
% 15.38/10.61 tff(18984,plain,
% 15.38/10.61 ((v114(constB129) | v125(constB129)) | (~v114(constB129))),
% 15.38/10.61 inference(tautology,[status(thm)],[])).
% 15.38/10.61 tff(18985,plain,
% 15.38/10.61 (v114(constB129) | v125(constB129)),
% 15.38/10.61 inference(unit_resolution,[status(thm)],[18984, 18983])).
% 15.38/10.61 tff(18986,plain,
% 15.38/10.61 ((~(v113(constB129) <=> (v114(constB129) | v125(constB129)))) | v113(constB129) | (~(v114(constB129) | v125(constB129)))),
% 15.38/10.61 inference(tautology,[status(thm)],[])).
% 15.38/10.61 tff(18987,plain,
% 15.38/10.61 (v113(constB129)),
% 15.38/10.61 inference(unit_resolution,[status(thm)],[18986, 18985, 14529])).
% 15.38/10.61 tff(18988,plain,
% 15.38/10.61 ((~![VarCurr: $i] : ((~v126(VarCurr)) <=> v111(VarCurr))) | ((~v126(constB129)) <=> v111(constB129))),
% 15.38/10.61 inference(quant_inst,[status(thm)],[])).
% 15.38/10.61 tff(18989,plain,
% 15.38/10.61 ((~v126(constB129)) <=> v111(constB129)),
% 15.38/10.61 inference(unit_resolution,[status(thm)],[18988, 5074])).
% 15.38/10.61 tff(18990,plain,
% 15.38/10.61 ((~![VarCurr: $i] : (v111(VarCurr) <=> v26(VarCurr))) | (v111(constB129) <=> v26(constB129))),
% 15.38/10.61 inference(quant_inst,[status(thm)],[])).
% 15.38/10.61 tff(18991,plain,
% 15.38/10.61 (v111(constB129) <=> v26(constB129)),
% 15.38/10.61 inference(unit_resolution,[status(thm)],[18990, 5086])).
% 15.38/10.61 tff(18992,plain,
% 15.38/10.61 ((~![VarCurr: $i] : (~v26(VarCurr))) | (~v26(constB129))),
% 15.38/10.61 inference(quant_inst,[status(thm)],[])).
% 15.38/10.61 tff(18993,plain,
% 15.38/10.61 (~v26(constB129)),
% 15.38/10.61 inference(unit_resolution,[status(thm)],[18992, 5098])).
% 15.38/10.61 tff(18994,plain,
% 15.38/10.61 ((~(v111(constB129) <=> v26(constB129))) | (~v111(constB129)) | v26(constB129)),
% 15.38/10.61 inference(tautology,[status(thm)],[])).
% 15.38/10.61 tff(18995,plain,
% 15.38/10.61 ((~(v111(constB129) <=> v26(constB129))) | (~v111(constB129))),
% 15.38/10.61 inference(unit_resolution,[status(thm)],[18994, 18993])).
% 15.38/10.61 tff(18996,plain,
% 15.38/10.61 (~v111(constB129)),
% 15.38/10.61 inference(unit_resolution,[status(thm)],[18995, 18991])).
% 15.38/10.61 tff(18997,plain,
% 15.38/10.61 ((~((~v126(constB129)) <=> v111(constB129))) | v126(constB129) | v111(constB129)),
% 15.38/10.61 inference(tautology,[status(thm)],[])).
% 15.38/10.61 tff(18998,plain,
% 15.38/10.61 ((~((~v126(constB129)) <=> v111(constB129))) | v126(constB129)),
% 15.38/10.61 inference(unit_resolution,[status(thm)],[18997, 18996])).
% 15.38/10.61 tff(18999,plain,
% 15.38/10.61 (v126(constB129)),
% 15.38/10.61 inference(unit_resolution,[status(thm)],[18998, 18989])).
% 15.38/10.61 tff(19000,plain,
% 15.38/10.61 ((~((~v113(constB129)) | (~v126(constB129)))) | (~v113(constB129)) | (~v126(constB129))),
% 15.38/10.61 inference(tautology,[status(thm)],[])).
% 15.38/10.61 tff(19001,plain,
% 15.38/10.61 ((~((~v113(constB129)) | (~v126(constB129)))) | (~v113(constB129))),
% 15.38/10.61 inference(unit_resolution,[status(thm)],[19000, 18999])).
% 15.38/10.61 tff(19002,plain,
% 15.38/10.61 (~((~v113(constB129)) | (~v126(constB129)))),
% 15.38/10.61 inference(unit_resolution,[status(thm)],[19001, 18987])).
% 15.38/10.61 tff(19003,plain,
% 15.38/10.61 ((~(v112(constB129) <=> (~((~v113(constB129)) | (~v126(constB129)))))) | v112(constB129) | ((~v113(constB129)) | (~v126(constB129)))),
% 15.38/10.61 inference(tautology,[status(thm)],[])).
% 15.38/10.61 tff(19004,plain,
% 15.38/10.61 (v112(constB129)),
% 15.38/10.61 inference(unit_resolution,[status(thm)],[19003, 19002, 14527])).
% 15.38/10.61 tff(19005,plain,
% 15.38/10.61 ((v111(constB129) | v112(constB129)) | (~v112(constB129))),
% 15.38/10.61 inference(tautology,[status(thm)],[])).
% 15.38/10.61 tff(19006,plain,
% 15.38/10.61 (v111(constB129) | v112(constB129)),
% 15.38/10.61 inference(unit_resolution,[status(thm)],[19005, 19004])).
% 15.38/10.61 tff(19007,plain,
% 15.38/10.61 ((~(v108(constB129) <=> (v111(constB129) | v112(constB129)))) | v108(constB129) | (~(v111(constB129) | v112(constB129)))),
% 15.38/10.61 inference(tautology,[status(thm)],[])).
% 15.38/10.61 tff(19008,plain,
% 15.38/10.61 (v108(constB129)),
% 15.38/10.61 inference(unit_resolution,[status(thm)],[19007, 19006, 14525])).
% 15.38/10.61 tff(19009,plain,
% 15.38/10.61 ((~(v110(constB130) <=> v108(constB129))) | v110(constB130) | (~v108(constB129))),
% 15.38/10.61 inference(tautology,[status(thm)],[])).
% 15.38/10.61 tff(19010,plain,
% 15.38/10.61 (v110(constB130)),
% 15.38/10.61 inference(unit_resolution,[status(thm)],[19009, 19008, 14523])).
% 15.38/10.61 tff(19011,plain,
% 15.38/10.61 ((~((~v101(constB130)) | (~v110(constB130)))) | (~v101(constB130)) | (~v110(constB130))),
% 15.38/10.61 inference(tautology,[status(thm)],[])).
% 15.38/10.61 tff(19012,plain,
% 15.38/10.61 (~((~v101(constB130)) | (~v110(constB130)))),
% 15.38/10.61 inference(unit_resolution,[status(thm)],[19011, 19010, 14519])).
% 15.38/10.61 tff(19013,plain,
% 15.38/10.61 ((~(v100(constB130) <=> (~((~v101(constB130)) | (~v110(constB130)))))) | v100(constB130) | ((~v101(constB130)) | (~v110(constB130)))),
% 15.38/10.61 inference(tautology,[status(thm)],[])).
% 15.38/10.61 tff(19014,plain,
% 15.38/10.61 (v100(constB130)),
% 15.38/10.61 inference(unit_resolution,[status(thm)],[19013, 19012, 14488])).
% 15.38/10.61 tff(19015,plain,
% 15.38/10.61 (((~![VarNext: $i] : ((~v100(VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v129(VarNext, B))))) | ((~v100(constB130)) | ![B: $i] : ((~less_3(B)) | (v90(constB130, B) <=> v129(constB130, B))))) <=> ((~![VarNext: $i] : ((~v100(VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v129(VarNext, B))))) | (~v100(constB130)) | ![B: $i] : ((~less_3(B)) | (v90(constB130, B) <=> v129(constB130, B))))),
% 15.38/10.61 inference(rewrite,[status(thm)],[])).
% 15.38/10.61 tff(19016,plain,
% 15.38/10.61 ((~![VarNext: $i] : ((~v100(VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v129(VarNext, B))))) | ((~v100(constB130)) | ![B: $i] : ((~less_3(B)) | (v90(constB130, B) <=> v129(constB130, B))))),
% 15.38/10.61 inference(quant_inst,[status(thm)],[])).
% 15.38/10.61 tff(19017,plain,
% 15.38/10.61 ((~![VarNext: $i] : ((~v100(VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v129(VarNext, B))))) | (~v100(constB130)) | ![B: $i] : ((~less_3(B)) | (v90(constB130, B) <=> v129(constB130, B)))),
% 15.38/10.61 inference(modus_ponens,[status(thm)],[19016, 19015])).
% 15.38/10.61 tff(19018,plain,
% 15.38/10.61 ((~v100(constB130)) | ![B: $i] : ((~less_3(B)) | (v90(constB130, B) <=> v129(constB130, B)))),
% 15.38/10.61 inference(unit_resolution,[status(thm)],[19017, 5134])).
% 15.38/10.61 tff(19019,plain,
% 15.38/10.61 (![B: $i] : ((~less_3(B)) | (v90(constB130, B) <=> v129(constB130, B)))),
% 15.38/10.61 inference(unit_resolution,[status(thm)],[19018, 19014])).
% 15.38/10.61 tff(19020,plain,
% 15.38/10.61 (((~![B: $i] : ((~less_3(B)) | (v90(constB130, B) <=> v129(constB130, B)))) | ((~less_3(bitIndex2)) | (v90(constB130, bitIndex2) <=> v129(constB130, bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v90(constB130, B) <=> v129(constB130, B)))) | (~less_3(bitIndex2)) | (v90(constB130, bitIndex2) <=> v129(constB130, bitIndex2)))),
% 15.38/10.61 inference(rewrite,[status(thm)],[])).
% 15.38/10.61 tff(19021,plain,
% 15.38/10.61 ((~![B: $i] : ((~less_3(B)) | (v90(constB130, B) <=> v129(constB130, B)))) | ((~less_3(bitIndex2)) | (v90(constB130, bitIndex2) <=> v129(constB130, bitIndex2)))),
% 15.38/10.61 inference(quant_inst,[status(thm)],[])).
% 15.38/10.61 tff(19022,plain,
% 15.38/10.61 ((~![B: $i] : ((~less_3(B)) | (v90(constB130, B) <=> v129(constB130, B)))) | (~less_3(bitIndex2)) | (v90(constB130, bitIndex2) <=> v129(constB130, bitIndex2))),
% 15.38/10.61 inference(modus_ponens,[status(thm)],[19021, 19020])).
% 15.38/10.61 tff(19023,plain,
% 15.38/10.61 (v90(constB130, bitIndex2) <=> v129(constB130, bitIndex2)),
% 15.38/10.61 inference(unit_resolution,[status(thm)],[19022, 413, 19019])).
% 15.38/10.61 tff(19024,plain,
% 15.38/10.61 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v129(VarNext, B) <=> v127(VarCurr, B))))) | ((~nextState(constB129, constB130)) | ![B: $i] : ((~less_3(B)) | (v129(constB130, B) <=> v127(constB129, B))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v129(VarNext, B) <=> v127(VarCurr, B))))) | (~nextState(constB129, constB130)) | ![B: $i] : ((~less_3(B)) | (v129(constB130, B) <=> v127(constB129, B))))),
% 15.38/10.61 inference(rewrite,[status(thm)],[])).
% 15.38/10.61 tff(19025,plain,
% 15.38/10.61 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v129(VarNext, B) <=> v127(VarCurr, B))))) | ((~nextState(constB129, constB130)) | ![B: $i] : ((~less_3(B)) | (v129(constB130, B) <=> v127(constB129, B))))),
% 15.38/10.61 inference(quant_inst,[status(thm)],[])).
% 15.38/10.61 tff(19026,plain,
% 15.38/10.61 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v129(VarNext, B) <=> v127(VarCurr, B))))) | (~nextState(constB129, constB130)) | ![B: $i] : ((~less_3(B)) | (v129(constB130, B) <=> v127(constB129, B)))),
% 15.38/10.61 inference(modus_ponens,[status(thm)],[19025, 19024])).
% 15.38/10.61 tff(19027,plain,
% 15.38/10.61 (![B: $i] : ((~less_3(B)) | (v129(constB130, B) <=> v127(constB129, B)))),
% 15.38/10.61 inference(unit_resolution,[status(thm)],[19026, 14484, 5156])).
% 15.38/10.61 tff(19028,plain,
% 15.38/10.61 (((~![B: $i] : ((~less_3(B)) | (v129(constB130, B) <=> v127(constB129, B)))) | ((~less_3(bitIndex2)) | (v129(constB130, bitIndex2) <=> v127(constB129, bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v129(constB130, B) <=> v127(constB129, B)))) | (~less_3(bitIndex2)) | (v129(constB130, bitIndex2) <=> v127(constB129, bitIndex2)))),
% 15.38/10.61 inference(rewrite,[status(thm)],[])).
% 15.38/10.61 tff(19029,plain,
% 15.38/10.61 ((~![B: $i] : ((~less_3(B)) | (v129(constB130, B) <=> v127(constB129, B)))) | ((~less_3(bitIndex2)) | (v129(constB130, bitIndex2) <=> v127(constB129, bitIndex2)))),
% 15.38/10.61 inference(quant_inst,[status(thm)],[])).
% 15.38/10.61 tff(19030,plain,
% 15.38/10.61 ((~![B: $i] : ((~less_3(B)) | (v129(constB130, B) <=> v127(constB129, B)))) | (~less_3(bitIndex2)) | (v129(constB130, bitIndex2) <=> v127(constB129, bitIndex2))),
% 15.38/10.61 inference(modus_ponens,[status(thm)],[19029, 19028])).
% 15.38/10.61 tff(19031,plain,
% 15.38/10.61 (v129(constB130, bitIndex2) <=> v127(constB129, bitIndex2)),
% 15.38/10.61 inference(unit_resolution,[status(thm)],[19030, 413, 19027])).
% 15.38/10.61 tff(19032,plain,
% 15.38/10.61 (((~![VarCurr: $i] : (v111(VarCurr) | ![B: $i] : ((~less_3(B)) | (v127(VarCurr, B) <=> v130(VarCurr, B))))) | (v111(constB129) | ![B: $i] : ((~less_3(B)) | (v127(constB129, B) <=> v130(constB129, B))))) <=> ((~![VarCurr: $i] : (v111(VarCurr) | ![B: $i] : ((~less_3(B)) | (v127(VarCurr, B) <=> v130(VarCurr, B))))) | v111(constB129) | ![B: $i] : ((~less_3(B)) | (v127(constB129, B) <=> v130(constB129, B))))),
% 15.38/10.61 inference(rewrite,[status(thm)],[])).
% 15.38/10.61 tff(19033,plain,
% 15.38/10.61 ((~![VarCurr: $i] : (v111(VarCurr) | ![B: $i] : ((~less_3(B)) | (v127(VarCurr, B) <=> v130(VarCurr, B))))) | (v111(constB129) | ![B: $i] : ((~less_3(B)) | (v127(constB129, B) <=> v130(constB129, B))))),
% 15.38/10.61 inference(quant_inst,[status(thm)],[])).
% 15.38/10.61 tff(19034,plain,
% 15.38/10.61 ((~![VarCurr: $i] : (v111(VarCurr) | ![B: $i] : ((~less_3(B)) | (v127(VarCurr, B) <=> v130(VarCurr, B))))) | v111(constB129) | ![B: $i] : ((~less_3(B)) | (v127(constB129, B) <=> v130(constB129, B)))),
% 15.38/10.61 inference(modus_ponens,[status(thm)],[19033, 19032])).
% 15.38/10.61 tff(19035,plain,
% 15.38/10.61 (![B: $i] : ((~less_3(B)) | (v127(constB129, B) <=> v130(constB129, B)))),
% 15.38/10.61 inference(unit_resolution,[status(thm)],[19034, 5177, 18996])).
% 15.38/10.61 tff(19036,plain,
% 15.38/10.61 (((~![B: $i] : ((~less_3(B)) | (v127(constB129, B) <=> v130(constB129, B)))) | ((~less_3(bitIndex2)) | (v127(constB129, bitIndex2) <=> v130(constB129, bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v127(constB129, B) <=> v130(constB129, B)))) | (~less_3(bitIndex2)) | (v127(constB129, bitIndex2) <=> v130(constB129, bitIndex2)))),
% 15.38/10.61 inference(rewrite,[status(thm)],[])).
% 15.38/10.61 tff(19037,plain,
% 15.38/10.61 ((~![B: $i] : ((~less_3(B)) | (v127(constB129, B) <=> v130(constB129, B)))) | ((~less_3(bitIndex2)) | (v127(constB129, bitIndex2) <=> v130(constB129, bitIndex2)))),
% 15.38/10.61 inference(quant_inst,[status(thm)],[])).
% 15.41/10.61 tff(19038,plain,
% 15.41/10.61 ((~![B: $i] : ((~less_3(B)) | (v127(constB129, B) <=> v130(constB129, B)))) | (~less_3(bitIndex2)) | (v127(constB129, bitIndex2) <=> v130(constB129, bitIndex2))),
% 15.41/10.61 inference(modus_ponens,[status(thm)],[19037, 19036])).
% 15.41/10.61 tff(19039,plain,
% 15.41/10.61 (v127(constB129, bitIndex2) <=> v130(constB129, bitIndex2)),
% 15.41/10.61 inference(unit_resolution,[status(thm)],[19038, 413, 19035])).
% 15.41/10.61 tff(19040,plain,
% 15.41/10.61 (((~![VarCurr: $i] : ((~v121(VarCurr)) | ![B: $i] : ((~less_3(B)) | (v130(VarCurr, B) <=> b011(B))))) | ((~v121(constB129)) | ![B: $i] : ((~less_3(B)) | (v130(constB129, B) <=> b011(B))))) <=> ((~![VarCurr: $i] : ((~v121(VarCurr)) | ![B: $i] : ((~less_3(B)) | (v130(VarCurr, B) <=> b011(B))))) | (~v121(constB129)) | ![B: $i] : ((~less_3(B)) | (v130(constB129, B) <=> b011(B))))),
% 15.41/10.61 inference(rewrite,[status(thm)],[])).
% 15.41/10.61 tff(19041,plain,
% 15.41/10.61 ((~![VarCurr: $i] : ((~v121(VarCurr)) | ![B: $i] : ((~less_3(B)) | (v130(VarCurr, B) <=> b011(B))))) | ((~v121(constB129)) | ![B: $i] : ((~less_3(B)) | (v130(constB129, B) <=> b011(B))))),
% 15.41/10.61 inference(quant_inst,[status(thm)],[])).
% 15.41/10.61 tff(19042,plain,
% 15.41/10.61 ((~![VarCurr: $i] : ((~v121(VarCurr)) | ![B: $i] : ((~less_3(B)) | (v130(VarCurr, B) <=> b011(B))))) | (~v121(constB129)) | ![B: $i] : ((~less_3(B)) | (v130(constB129, B) <=> b011(B)))),
% 15.41/10.61 inference(modus_ponens,[status(thm)],[19041, 19040])).
% 15.41/10.61 tff(19043,plain,
% 15.41/10.61 ((~v121(constB129)) | ![B: $i] : ((~less_3(B)) | (v130(constB129, B) <=> b011(B)))),
% 15.41/10.61 inference(unit_resolution,[status(thm)],[19042, 5977])).
% 15.41/10.61 tff(19044,plain,
% 15.41/10.61 (![B: $i] : ((~less_3(B)) | (v130(constB129, B) <=> b011(B)))),
% 15.41/10.61 inference(unit_resolution,[status(thm)],[19043, 18967])).
% 15.41/10.61 tff(19045,plain,
% 15.41/10.61 (((~![B: $i] : ((~less_3(B)) | (v130(constB129, B) <=> b011(B)))) | ((~less_3(bitIndex2)) | (v130(constB129, bitIndex2) <=> b011(bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v130(constB129, B) <=> b011(B)))) | (~less_3(bitIndex2)) | (v130(constB129, bitIndex2) <=> b011(bitIndex2)))),
% 15.41/10.61 inference(rewrite,[status(thm)],[])).
% 15.41/10.61 tff(19046,plain,
% 15.41/10.61 ((~![B: $i] : ((~less_3(B)) | (v130(constB129, B) <=> b011(B)))) | ((~less_3(bitIndex2)) | (v130(constB129, bitIndex2) <=> b011(bitIndex2)))),
% 15.41/10.61 inference(quant_inst,[status(thm)],[])).
% 15.41/10.61 tff(19047,plain,
% 15.41/10.61 ((~![B: $i] : ((~less_3(B)) | (v130(constB129, B) <=> b011(B)))) | (~less_3(bitIndex2)) | (v130(constB129, bitIndex2) <=> b011(bitIndex2))),
% 15.41/10.61 inference(modus_ponens,[status(thm)],[19046, 19045])).
% 15.41/10.61 tff(19048,plain,
% 15.41/10.61 (v130(constB129, bitIndex2) <=> b011(bitIndex2)),
% 15.41/10.61 inference(unit_resolution,[status(thm)],[19047, 413, 19044])).
% 15.41/10.61 tff(19049,plain,
% 15.41/10.61 ((~(v130(constB129, bitIndex2) <=> b011(bitIndex2))) | (~v130(constB129, bitIndex2)) | b011(bitIndex2)),
% 15.41/10.61 inference(tautology,[status(thm)],[])).
% 15.41/10.61 tff(19050,plain,
% 15.41/10.61 ((~(v130(constB129, bitIndex2) <=> b011(bitIndex2))) | (~v130(constB129, bitIndex2))),
% 15.41/10.61 inference(unit_resolution,[status(thm)],[19049, 5989])).
% 15.41/10.61 tff(19051,plain,
% 15.41/10.61 (~v130(constB129, bitIndex2)),
% 15.41/10.61 inference(unit_resolution,[status(thm)],[19050, 19048])).
% 15.41/10.61 tff(19052,plain,
% 15.41/10.61 ((~(v127(constB129, bitIndex2) <=> v130(constB129, bitIndex2))) | (~v127(constB129, bitIndex2)) | v130(constB129, bitIndex2)),
% 15.41/10.61 inference(tautology,[status(thm)],[])).
% 15.41/10.61 tff(19053,plain,
% 15.41/10.61 (~v127(constB129, bitIndex2)),
% 15.41/10.61 inference(unit_resolution,[status(thm)],[19052, 19051, 19039])).
% 15.41/10.61 tff(19054,plain,
% 15.41/10.61 ((~(v129(constB130, bitIndex2) <=> v127(constB129, bitIndex2))) | (~v129(constB130, bitIndex2)) | v127(constB129, bitIndex2)),
% 15.41/10.61 inference(tautology,[status(thm)],[])).
% 15.41/10.61 tff(19055,plain,
% 15.41/10.61 (~v129(constB130, bitIndex2)),
% 15.41/10.61 inference(unit_resolution,[status(thm)],[19054, 19053, 19031])).
% 15.41/10.61 tff(19056,plain,
% 15.41/10.61 ((~(v90(constB130, bitIndex2) <=> v129(constB130, bitIndex2))) | (~v90(constB130, bitIndex2)) | v129(constB130, bitIndex2)),
% 15.41/10.61 inference(tautology,[status(thm)],[])).
% 15.41/10.61 tff(19057,plain,
% 15.41/10.61 (~v90(constB130, bitIndex2)),
% 15.41/10.61 inference(unit_resolution,[status(thm)],[19056, 19055, 19023])).
% 15.41/10.61 tff(19058,plain,
% 15.41/10.61 ((~(v90(constB131, bitIndex2) <=> v90(constB130, bitIndex2))) | (~v90(constB131, bitIndex2)) | v90(constB130, bitIndex2)),
% 15.41/10.61 inference(tautology,[status(thm)],[])).
% 15.41/10.61 tff(19059,plain,
% 15.41/10.61 (~v90(constB131, bitIndex2)),
% 15.41/10.61 inference(unit_resolution,[status(thm)],[19058, 19057, 14481])).
% 15.41/10.61 tff(19060,plain,
% 15.41/10.61 (((~![B: $i] : ((~less_3(B)) | (v90(constB131, B) <=> v90(constB130, B)))) | ((~less_3(bitIndex0)) | (v90(constB131, bitIndex0) <=> v90(constB130, bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v90(constB131, B) <=> v90(constB130, B)))) | (~less_3(bitIndex0)) | (v90(constB131, bitIndex0) <=> v90(constB130, bitIndex0)))),
% 15.41/10.61 inference(rewrite,[status(thm)],[])).
% 15.41/10.61 tff(19061,plain,
% 15.41/10.61 ((~![B: $i] : ((~less_3(B)) | (v90(constB131, B) <=> v90(constB130, B)))) | ((~less_3(bitIndex0)) | (v90(constB131, bitIndex0) <=> v90(constB130, bitIndex0)))),
% 15.41/10.61 inference(quant_inst,[status(thm)],[])).
% 15.41/10.61 tff(19062,plain,
% 15.41/10.61 ((~![B: $i] : ((~less_3(B)) | (v90(constB131, B) <=> v90(constB130, B)))) | (~less_3(bitIndex0)) | (v90(constB131, bitIndex0) <=> v90(constB130, bitIndex0))),
% 15.41/10.61 inference(modus_ponens,[status(thm)],[19061, 19060])).
% 15.41/10.61 tff(19063,plain,
% 15.41/10.61 (v90(constB131, bitIndex0) <=> v90(constB130, bitIndex0)),
% 15.41/10.61 inference(unit_resolution,[status(thm)],[19062, 5004, 14477])).
% 15.41/10.61 tff(19064,plain,
% 15.41/10.61 (((~![B: $i] : ((~less_3(B)) | (v90(constB130, B) <=> v129(constB130, B)))) | ((~less_3(bitIndex0)) | (v90(constB130, bitIndex0) <=> v129(constB130, bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v90(constB130, B) <=> v129(constB130, B)))) | (~less_3(bitIndex0)) | (v90(constB130, bitIndex0) <=> v129(constB130, bitIndex0)))),
% 15.41/10.61 inference(rewrite,[status(thm)],[])).
% 15.41/10.61 tff(19065,plain,
% 15.41/10.61 ((~![B: $i] : ((~less_3(B)) | (v90(constB130, B) <=> v129(constB130, B)))) | ((~less_3(bitIndex0)) | (v90(constB130, bitIndex0) <=> v129(constB130, bitIndex0)))),
% 15.41/10.61 inference(quant_inst,[status(thm)],[])).
% 15.41/10.61 tff(19066,plain,
% 15.41/10.61 ((~![B: $i] : ((~less_3(B)) | (v90(constB130, B) <=> v129(constB130, B)))) | (~less_3(bitIndex0)) | (v90(constB130, bitIndex0) <=> v129(constB130, bitIndex0))),
% 15.41/10.61 inference(modus_ponens,[status(thm)],[19065, 19064])).
% 15.41/10.61 tff(19067,plain,
% 15.41/10.61 (v90(constB130, bitIndex0) <=> v129(constB130, bitIndex0)),
% 15.41/10.61 inference(unit_resolution,[status(thm)],[19066, 5004, 19019])).
% 15.41/10.61 tff(19068,plain,
% 15.41/10.61 (((~![B: $i] : ((~less_3(B)) | (v129(constB130, B) <=> v127(constB129, B)))) | ((~less_3(bitIndex0)) | (v129(constB130, bitIndex0) <=> v127(constB129, bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v129(constB130, B) <=> v127(constB129, B)))) | (~less_3(bitIndex0)) | (v129(constB130, bitIndex0) <=> v127(constB129, bitIndex0)))),
% 15.41/10.61 inference(rewrite,[status(thm)],[])).
% 15.41/10.61 tff(19069,plain,
% 15.41/10.61 ((~![B: $i] : ((~less_3(B)) | (v129(constB130, B) <=> v127(constB129, B)))) | ((~less_3(bitIndex0)) | (v129(constB130, bitIndex0) <=> v127(constB129, bitIndex0)))),
% 15.41/10.61 inference(quant_inst,[status(thm)],[])).
% 15.41/10.61 tff(19070,plain,
% 15.41/10.61 ((~![B: $i] : ((~less_3(B)) | (v129(constB130, B) <=> v127(constB129, B)))) | (~less_3(bitIndex0)) | (v129(constB130, bitIndex0) <=> v127(constB129, bitIndex0))),
% 15.41/10.61 inference(modus_ponens,[status(thm)],[19069, 19068])).
% 15.41/10.61 tff(19071,plain,
% 15.41/10.61 (v129(constB130, bitIndex0) <=> v127(constB129, bitIndex0)),
% 15.41/10.61 inference(unit_resolution,[status(thm)],[19070, 5004, 19027])).
% 15.41/10.61 tff(19072,plain,
% 15.41/10.61 (((~![B: $i] : ((~less_3(B)) | (v127(constB129, B) <=> v130(constB129, B)))) | ((~less_3(bitIndex0)) | (v127(constB129, bitIndex0) <=> v130(constB129, bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v127(constB129, B) <=> v130(constB129, B)))) | (~less_3(bitIndex0)) | (v127(constB129, bitIndex0) <=> v130(constB129, bitIndex0)))),
% 15.41/10.61 inference(rewrite,[status(thm)],[])).
% 15.41/10.61 tff(19073,plain,
% 15.41/10.61 ((~![B: $i] : ((~less_3(B)) | (v127(constB129, B) <=> v130(constB129, B)))) | ((~less_3(bitIndex0)) | (v127(constB129, bitIndex0) <=> v130(constB129, bitIndex0)))),
% 15.41/10.61 inference(quant_inst,[status(thm)],[])).
% 15.41/10.61 tff(19074,plain,
% 15.41/10.61 ((~![B: $i] : ((~less_3(B)) | (v127(constB129, B) <=> v130(constB129, B)))) | (~less_3(bitIndex0)) | (v127(constB129, bitIndex0) <=> v130(constB129, bitIndex0))),
% 15.41/10.61 inference(modus_ponens,[status(thm)],[19073, 19072])).
% 15.41/10.62 tff(19075,plain,
% 15.41/10.62 (v127(constB129, bitIndex0) <=> v130(constB129, bitIndex0)),
% 15.41/10.62 inference(unit_resolution,[status(thm)],[19074, 5004, 19035])).
% 15.41/10.62 tff(19076,plain,
% 15.41/10.62 (((~![B: $i] : ((~less_3(B)) | (v130(constB129, B) <=> b011(B)))) | ((~less_3(bitIndex0)) | (v130(constB129, bitIndex0) <=> b011(bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v130(constB129, B) <=> b011(B)))) | (~less_3(bitIndex0)) | (v130(constB129, bitIndex0) <=> b011(bitIndex0)))),
% 15.41/10.62 inference(rewrite,[status(thm)],[])).
% 15.41/10.62 tff(19077,plain,
% 15.41/10.62 ((~![B: $i] : ((~less_3(B)) | (v130(constB129, B) <=> b011(B)))) | ((~less_3(bitIndex0)) | (v130(constB129, bitIndex0) <=> b011(bitIndex0)))),
% 15.41/10.62 inference(quant_inst,[status(thm)],[])).
% 15.41/10.62 tff(19078,plain,
% 15.41/10.62 ((~![B: $i] : ((~less_3(B)) | (v130(constB129, B) <=> b011(B)))) | (~less_3(bitIndex0)) | (v130(constB129, bitIndex0) <=> b011(bitIndex0))),
% 15.41/10.62 inference(modus_ponens,[status(thm)],[19077, 19076])).
% 15.41/10.62 tff(19079,plain,
% 15.41/10.62 (v130(constB129, bitIndex0) <=> b011(bitIndex0)),
% 15.41/10.62 inference(unit_resolution,[status(thm)],[19078, 5004, 19044])).
% 15.41/10.62 tff(19080,plain,
% 15.41/10.62 ((~(v130(constB129, bitIndex0) <=> b011(bitIndex0))) | v130(constB129, bitIndex0) | (~b011(bitIndex0))),
% 15.41/10.62 inference(tautology,[status(thm)],[])).
% 15.41/10.62 tff(19081,plain,
% 15.41/10.62 ((~(v130(constB129, bitIndex0) <=> b011(bitIndex0))) | v130(constB129, bitIndex0)),
% 15.41/10.62 inference(unit_resolution,[status(thm)],[19080, 6023])).
% 15.41/10.62 tff(19082,plain,
% 15.41/10.62 (v130(constB129, bitIndex0)),
% 15.41/10.62 inference(unit_resolution,[status(thm)],[19081, 19079])).
% 15.41/10.62 tff(19083,plain,
% 15.41/10.62 ((~(v127(constB129, bitIndex0) <=> v130(constB129, bitIndex0))) | v127(constB129, bitIndex0) | (~v130(constB129, bitIndex0))),
% 15.41/10.62 inference(tautology,[status(thm)],[])).
% 15.41/10.62 tff(19084,plain,
% 15.41/10.62 (v127(constB129, bitIndex0)),
% 15.41/10.62 inference(unit_resolution,[status(thm)],[19083, 19082, 19075])).
% 15.41/10.62 tff(19085,plain,
% 15.41/10.62 ((~(v129(constB130, bitIndex0) <=> v127(constB129, bitIndex0))) | v129(constB130, bitIndex0) | (~v127(constB129, bitIndex0))),
% 15.41/10.62 inference(tautology,[status(thm)],[])).
% 15.41/10.62 tff(19086,plain,
% 15.41/10.62 (v129(constB130, bitIndex0)),
% 15.41/10.62 inference(unit_resolution,[status(thm)],[19085, 19084, 19071])).
% 15.41/10.62 tff(19087,plain,
% 15.41/10.62 ((~(v90(constB130, bitIndex0) <=> v129(constB130, bitIndex0))) | v90(constB130, bitIndex0) | (~v129(constB130, bitIndex0))),
% 15.41/10.62 inference(tautology,[status(thm)],[])).
% 15.41/10.62 tff(19088,plain,
% 15.41/10.62 (v90(constB130, bitIndex0)),
% 15.41/10.62 inference(unit_resolution,[status(thm)],[19087, 19086, 19067])).
% 15.41/10.62 tff(19089,plain,
% 15.41/10.62 ((~(v90(constB131, bitIndex0) <=> v90(constB130, bitIndex0))) | v90(constB131, bitIndex0) | (~v90(constB130, bitIndex0))),
% 15.41/10.62 inference(tautology,[status(thm)],[])).
% 15.41/10.62 tff(19090,plain,
% 15.41/10.62 (v90(constB131, bitIndex0)),
% 15.41/10.62 inference(unit_resolution,[status(thm)],[19089, 19088, 19063])).
% 15.41/10.62 tff(19091,plain,
% 15.41/10.62 (((~![B: $i] : ((~less_3(B)) | (v90(constB131, B) <=> v90(constB130, B)))) | ((~less_3(bitIndex1)) | (v90(constB131, bitIndex1) <=> v90(constB130, bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v90(constB131, B) <=> v90(constB130, B)))) | (~less_3(bitIndex1)) | (v90(constB131, bitIndex1) <=> v90(constB130, bitIndex1)))),
% 15.41/10.62 inference(rewrite,[status(thm)],[])).
% 15.41/10.62 tff(19092,plain,
% 15.41/10.62 ((~![B: $i] : ((~less_3(B)) | (v90(constB131, B) <=> v90(constB130, B)))) | ((~less_3(bitIndex1)) | (v90(constB131, bitIndex1) <=> v90(constB130, bitIndex1)))),
% 15.41/10.62 inference(quant_inst,[status(thm)],[])).
% 15.41/10.62 tff(19093,plain,
% 15.41/10.62 ((~![B: $i] : ((~less_3(B)) | (v90(constB131, B) <=> v90(constB130, B)))) | (~less_3(bitIndex1)) | (v90(constB131, bitIndex1) <=> v90(constB130, bitIndex1))),
% 15.41/10.62 inference(modus_ponens,[status(thm)],[19092, 19091])).
% 15.41/10.62 tff(19094,plain,
% 15.41/10.62 (v90(constB131, bitIndex1) <=> v90(constB130, bitIndex1)),
% 15.41/10.62 inference(unit_resolution,[status(thm)],[19093, 5017, 14477])).
% 15.41/10.62 tff(19095,plain,
% 15.41/10.62 (((~![B: $i] : ((~less_3(B)) | (v90(constB130, B) <=> v129(constB130, B)))) | ((~less_3(bitIndex1)) | (v90(constB130, bitIndex1) <=> v129(constB130, bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v90(constB130, B) <=> v129(constB130, B)))) | (~less_3(bitIndex1)) | (v90(constB130, bitIndex1) <=> v129(constB130, bitIndex1)))),
% 15.41/10.62 inference(rewrite,[status(thm)],[])).
% 15.41/10.62 tff(19096,plain,
% 15.41/10.62 ((~![B: $i] : ((~less_3(B)) | (v90(constB130, B) <=> v129(constB130, B)))) | ((~less_3(bitIndex1)) | (v90(constB130, bitIndex1) <=> v129(constB130, bitIndex1)))),
% 15.41/10.62 inference(quant_inst,[status(thm)],[])).
% 15.41/10.62 tff(19097,plain,
% 15.41/10.62 ((~![B: $i] : ((~less_3(B)) | (v90(constB130, B) <=> v129(constB130, B)))) | (~less_3(bitIndex1)) | (v90(constB130, bitIndex1) <=> v129(constB130, bitIndex1))),
% 15.41/10.62 inference(modus_ponens,[status(thm)],[19096, 19095])).
% 15.41/10.62 tff(19098,plain,
% 15.41/10.62 (v90(constB130, bitIndex1) <=> v129(constB130, bitIndex1)),
% 15.41/10.62 inference(unit_resolution,[status(thm)],[19097, 5017, 19019])).
% 15.41/10.62 tff(19099,plain,
% 15.41/10.62 (((~![B: $i] : ((~less_3(B)) | (v129(constB130, B) <=> v127(constB129, B)))) | ((~less_3(bitIndex1)) | (v129(constB130, bitIndex1) <=> v127(constB129, bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v129(constB130, B) <=> v127(constB129, B)))) | (~less_3(bitIndex1)) | (v129(constB130, bitIndex1) <=> v127(constB129, bitIndex1)))),
% 15.41/10.62 inference(rewrite,[status(thm)],[])).
% 15.41/10.62 tff(19100,plain,
% 15.41/10.62 ((~![B: $i] : ((~less_3(B)) | (v129(constB130, B) <=> v127(constB129, B)))) | ((~less_3(bitIndex1)) | (v129(constB130, bitIndex1) <=> v127(constB129, bitIndex1)))),
% 15.41/10.62 inference(quant_inst,[status(thm)],[])).
% 15.41/10.62 tff(19101,plain,
% 15.41/10.62 ((~![B: $i] : ((~less_3(B)) | (v129(constB130, B) <=> v127(constB129, B)))) | (~less_3(bitIndex1)) | (v129(constB130, bitIndex1) <=> v127(constB129, bitIndex1))),
% 15.41/10.62 inference(modus_ponens,[status(thm)],[19100, 19099])).
% 15.41/10.62 tff(19102,plain,
% 15.41/10.62 (v129(constB130, bitIndex1) <=> v127(constB129, bitIndex1)),
% 15.41/10.62 inference(unit_resolution,[status(thm)],[19101, 5017, 19027])).
% 15.41/10.62 tff(19103,plain,
% 15.41/10.62 (((~![B: $i] : ((~less_3(B)) | (v127(constB129, B) <=> v130(constB129, B)))) | ((~less_3(bitIndex1)) | (v127(constB129, bitIndex1) <=> v130(constB129, bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v127(constB129, B) <=> v130(constB129, B)))) | (~less_3(bitIndex1)) | (v127(constB129, bitIndex1) <=> v130(constB129, bitIndex1)))),
% 15.41/10.62 inference(rewrite,[status(thm)],[])).
% 15.41/10.62 tff(19104,plain,
% 15.41/10.62 ((~![B: $i] : ((~less_3(B)) | (v127(constB129, B) <=> v130(constB129, B)))) | ((~less_3(bitIndex1)) | (v127(constB129, bitIndex1) <=> v130(constB129, bitIndex1)))),
% 15.41/10.62 inference(quant_inst,[status(thm)],[])).
% 15.41/10.62 tff(19105,plain,
% 15.41/10.62 ((~![B: $i] : ((~less_3(B)) | (v127(constB129, B) <=> v130(constB129, B)))) | (~less_3(bitIndex1)) | (v127(constB129, bitIndex1) <=> v130(constB129, bitIndex1))),
% 15.41/10.62 inference(modus_ponens,[status(thm)],[19104, 19103])).
% 15.41/10.62 tff(19106,plain,
% 15.41/10.62 (v127(constB129, bitIndex1) <=> v130(constB129, bitIndex1)),
% 15.41/10.62 inference(unit_resolution,[status(thm)],[19105, 5017, 19035])).
% 15.41/10.62 tff(19107,plain,
% 15.41/10.62 (((~![B: $i] : ((~less_3(B)) | (v130(constB129, B) <=> b011(B)))) | ((~less_3(bitIndex1)) | (v130(constB129, bitIndex1) <=> b011(bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v130(constB129, B) <=> b011(B)))) | (~less_3(bitIndex1)) | (v130(constB129, bitIndex1) <=> b011(bitIndex1)))),
% 15.41/10.62 inference(rewrite,[status(thm)],[])).
% 15.41/10.62 tff(19108,plain,
% 15.41/10.62 ((~![B: $i] : ((~less_3(B)) | (v130(constB129, B) <=> b011(B)))) | ((~less_3(bitIndex1)) | (v130(constB129, bitIndex1) <=> b011(bitIndex1)))),
% 15.41/10.62 inference(quant_inst,[status(thm)],[])).
% 15.41/10.62 tff(19109,plain,
% 15.41/10.62 ((~![B: $i] : ((~less_3(B)) | (v130(constB129, B) <=> b011(B)))) | (~less_3(bitIndex1)) | (v130(constB129, bitIndex1) <=> b011(bitIndex1))),
% 15.41/10.62 inference(modus_ponens,[status(thm)],[19108, 19107])).
% 15.41/10.62 tff(19110,plain,
% 15.41/10.62 (v130(constB129, bitIndex1) <=> b011(bitIndex1)),
% 15.41/10.62 inference(unit_resolution,[status(thm)],[19109, 5017, 19044])).
% 15.41/10.62 tff(19111,plain,
% 15.41/10.62 ((~(v130(constB129, bitIndex1) <=> b011(bitIndex1))) | v130(constB129, bitIndex1) | (~b011(bitIndex1))),
% 15.41/10.62 inference(tautology,[status(thm)],[])).
% 15.41/10.62 tff(19112,plain,
% 15.41/10.62 ((~(v130(constB129, bitIndex1) <=> b011(bitIndex1))) | v130(constB129, bitIndex1)),
% 15.41/10.62 inference(unit_resolution,[status(thm)],[19111, 6057])).
% 15.41/10.62 tff(19113,plain,
% 15.41/10.62 (v130(constB129, bitIndex1)),
% 15.41/10.62 inference(unit_resolution,[status(thm)],[19112, 19110])).
% 15.41/10.62 tff(19114,plain,
% 15.41/10.62 ((~(v127(constB129, bitIndex1) <=> v130(constB129, bitIndex1))) | v127(constB129, bitIndex1) | (~v130(constB129, bitIndex1))),
% 15.41/10.62 inference(tautology,[status(thm)],[])).
% 15.41/10.62 tff(19115,plain,
% 15.41/10.62 (v127(constB129, bitIndex1)),
% 15.41/10.62 inference(unit_resolution,[status(thm)],[19114, 19113, 19106])).
% 15.41/10.62 tff(19116,plain,
% 15.41/10.62 ((~(v129(constB130, bitIndex1) <=> v127(constB129, bitIndex1))) | v129(constB130, bitIndex1) | (~v127(constB129, bitIndex1))),
% 15.41/10.62 inference(tautology,[status(thm)],[])).
% 15.41/10.62 tff(19117,plain,
% 15.41/10.62 (v129(constB130, bitIndex1)),
% 15.41/10.62 inference(unit_resolution,[status(thm)],[19116, 19115, 19102])).
% 15.41/10.62 tff(19118,plain,
% 15.41/10.62 ((~(v90(constB130, bitIndex1) <=> v129(constB130, bitIndex1))) | v90(constB130, bitIndex1) | (~v129(constB130, bitIndex1))),
% 15.41/10.62 inference(tautology,[status(thm)],[])).
% 15.41/10.62 tff(19119,plain,
% 15.41/10.62 (v90(constB130, bitIndex1)),
% 15.41/10.62 inference(unit_resolution,[status(thm)],[19118, 19117, 19098])).
% 15.41/10.62 tff(19120,plain,
% 15.41/10.62 ((~(v90(constB131, bitIndex1) <=> v90(constB130, bitIndex1))) | v90(constB131, bitIndex1) | (~v90(constB130, bitIndex1))),
% 15.41/10.62 inference(tautology,[status(thm)],[])).
% 15.41/10.62 tff(19121,plain,
% 15.41/10.62 (v90(constB131, bitIndex1)),
% 15.41/10.62 inference(unit_resolution,[status(thm)],[19120, 19119, 19094])).
% 15.41/10.62 tff(19122,plain,
% 15.41/10.62 ((~(v90(constB131, bitIndex2) | (~v90(constB131, bitIndex1)) | (~v90(constB131, bitIndex0)))) | v90(constB131, bitIndex2) | (~v90(constB131, bitIndex1)) | (~v90(constB131, bitIndex0))),
% 15.41/10.62 inference(tautology,[status(thm)],[])).
% 15.41/10.62 tff(19123,plain,
% 15.41/10.62 (~(v90(constB131, bitIndex2) | (~v90(constB131, bitIndex1)) | (~v90(constB131, bitIndex0)))),
% 15.41/10.62 inference(unit_resolution,[status(thm)],[19122, 19121, 19090, 19059])).
% 15.41/10.62 tff(19124,plain,
% 15.41/10.62 ((~(v122(constB131) <=> (~(v90(constB131, bitIndex2) | (~v90(constB131, bitIndex1)) | (~v90(constB131, bitIndex0)))))) | v122(constB131) | (v90(constB131, bitIndex2) | (~v90(constB131, bitIndex1)) | (~v90(constB131, bitIndex0)))),
% 15.41/10.62 inference(tautology,[status(thm)],[])).
% 15.41/10.62 tff(19125,plain,
% 15.41/10.62 (v122(constB131)),
% 15.41/10.62 inference(unit_resolution,[status(thm)],[19124, 19123, 14449])).
% 15.41/10.62 tff(19126,plain,
% 15.41/10.62 ((v117(constB131) | v122(constB131)) | (~v122(constB131))),
% 15.41/10.62 inference(tautology,[status(thm)],[])).
% 15.41/10.62 tff(19127,plain,
% 15.41/10.62 (v117(constB131) | v122(constB131)),
% 15.41/10.62 inference(unit_resolution,[status(thm)],[19126, 19125])).
% 15.41/10.62 tff(19128,plain,
% 15.41/10.62 ((~(v116(constB131) <=> (v117(constB131) | v122(constB131)))) | v116(constB131) | (~(v117(constB131) | v122(constB131)))),
% 15.41/10.62 inference(tautology,[status(thm)],[])).
% 15.41/10.62 tff(19129,plain,
% 15.41/10.62 (v116(constB131)),
% 15.41/10.62 inference(unit_resolution,[status(thm)],[19128, 19127, 14442])).
% 15.41/10.62 tff(19130,plain,
% 15.41/10.62 ((v116(constB131) | v123(constB131)) | (~v116(constB131))),
% 15.41/10.62 inference(tautology,[status(thm)],[])).
% 15.41/10.62 tff(19131,plain,
% 15.41/10.62 (v116(constB131) | v123(constB131)),
% 15.41/10.62 inference(unit_resolution,[status(thm)],[19130, 19129])).
% 15.41/10.62 tff(19132,plain,
% 15.41/10.62 ((~(v115(constB131) <=> (v116(constB131) | v123(constB131)))) | v115(constB131) | (~(v116(constB131) | v123(constB131)))),
% 15.41/10.62 inference(tautology,[status(thm)],[])).
% 15.41/10.62 tff(19133,plain,
% 15.41/10.62 (v115(constB131)),
% 15.41/10.62 inference(unit_resolution,[status(thm)],[19132, 19131, 14440])).
% 15.41/10.62 tff(19134,plain,
% 15.41/10.62 ((v115(constB131) | v124(constB131)) | (~v115(constB131))),
% 15.41/10.62 inference(tautology,[status(thm)],[])).
% 15.41/10.62 tff(19135,plain,
% 15.41/10.62 (v115(constB131) | v124(constB131)),
% 15.41/10.62 inference(unit_resolution,[status(thm)],[19134, 19133])).
% 15.41/10.62 tff(19136,plain,
% 15.41/10.62 ((~(v114(constB131) <=> (v115(constB131) | v124(constB131)))) | v114(constB131) | (~(v115(constB131) | v124(constB131)))),
% 15.41/10.62 inference(tautology,[status(thm)],[])).
% 15.41/10.62 tff(19137,plain,
% 15.41/10.62 (v114(constB131)),
% 15.41/10.62 inference(unit_resolution,[status(thm)],[19136, 19135, 14438])).
% 15.41/10.62 tff(19138,plain,
% 15.41/10.62 ((v114(constB131) | v125(constB131)) | (~v114(constB131))),
% 15.41/10.62 inference(tautology,[status(thm)],[])).
% 15.41/10.62 tff(19139,plain,
% 15.41/10.62 (v114(constB131) | v125(constB131)),
% 15.41/10.62 inference(unit_resolution,[status(thm)],[19138, 19137])).
% 15.41/10.62 tff(19140,plain,
% 15.41/10.62 ((~(v113(constB131) <=> (v114(constB131) | v125(constB131)))) | v113(constB131) | (~(v114(constB131) | v125(constB131)))),
% 15.41/10.62 inference(tautology,[status(thm)],[])).
% 15.41/10.62 tff(19141,plain,
% 15.41/10.62 (v113(constB131)),
% 15.41/10.62 inference(unit_resolution,[status(thm)],[19140, 19139, 14436])).
% 15.41/10.62 tff(19142,plain,
% 15.41/10.62 ((~![VarCurr: $i] : ((~v126(VarCurr)) <=> v111(VarCurr))) | ((~v126(constB131)) <=> v111(constB131))),
% 15.41/10.62 inference(quant_inst,[status(thm)],[])).
% 15.41/10.62 tff(19143,plain,
% 15.41/10.62 ((~v126(constB131)) <=> v111(constB131)),
% 15.41/10.62 inference(unit_resolution,[status(thm)],[19142, 5074])).
% 15.41/10.62 tff(19144,plain,
% 15.41/10.62 ((~![VarCurr: $i] : (v111(VarCurr) <=> v26(VarCurr))) | (v111(constB131) <=> v26(constB131))),
% 15.41/10.62 inference(quant_inst,[status(thm)],[])).
% 15.41/10.62 tff(19145,plain,
% 15.41/10.62 (v111(constB131) <=> v26(constB131)),
% 15.41/10.62 inference(unit_resolution,[status(thm)],[19144, 5086])).
% 15.41/10.62 tff(19146,plain,
% 15.41/10.62 ((~![VarCurr: $i] : (~v26(VarCurr))) | (~v26(constB131))),
% 15.41/10.62 inference(quant_inst,[status(thm)],[])).
% 15.41/10.62 tff(19147,plain,
% 15.41/10.62 (~v26(constB131)),
% 15.41/10.62 inference(unit_resolution,[status(thm)],[19146, 5098])).
% 15.41/10.62 tff(19148,plain,
% 15.41/10.62 ((~(v111(constB131) <=> v26(constB131))) | (~v111(constB131)) | v26(constB131)),
% 15.41/10.62 inference(tautology,[status(thm)],[])).
% 15.41/10.62 tff(19149,plain,
% 15.41/10.62 ((~(v111(constB131) <=> v26(constB131))) | (~v111(constB131))),
% 15.41/10.62 inference(unit_resolution,[status(thm)],[19148, 19147])).
% 15.41/10.62 tff(19150,plain,
% 15.41/10.62 (~v111(constB131)),
% 15.41/10.62 inference(unit_resolution,[status(thm)],[19149, 19145])).
% 15.41/10.62 tff(19151,plain,
% 15.41/10.62 ((~((~v126(constB131)) <=> v111(constB131))) | v126(constB131) | v111(constB131)),
% 15.41/10.62 inference(tautology,[status(thm)],[])).
% 15.41/10.62 tff(19152,plain,
% 15.41/10.62 ((~((~v126(constB131)) <=> v111(constB131))) | v126(constB131)),
% 15.41/10.62 inference(unit_resolution,[status(thm)],[19151, 19150])).
% 15.41/10.62 tff(19153,plain,
% 15.41/10.62 (v126(constB131)),
% 15.41/10.62 inference(unit_resolution,[status(thm)],[19152, 19143])).
% 15.41/10.62 tff(19154,plain,
% 15.41/10.62 ((~((~v113(constB131)) | (~v126(constB131)))) | (~v113(constB131)) | (~v126(constB131))),
% 15.41/10.62 inference(tautology,[status(thm)],[])).
% 15.41/10.62 tff(19155,plain,
% 15.41/10.62 ((~((~v113(constB131)) | (~v126(constB131)))) | (~v113(constB131))),
% 15.41/10.62 inference(unit_resolution,[status(thm)],[19154, 19153])).
% 15.41/10.62 tff(19156,plain,
% 15.41/10.62 (~((~v113(constB131)) | (~v126(constB131)))),
% 15.41/10.62 inference(unit_resolution,[status(thm)],[19155, 19141])).
% 15.41/10.62 tff(19157,plain,
% 15.41/10.62 ((~(v112(constB131) <=> (~((~v113(constB131)) | (~v126(constB131)))))) | v112(constB131) | ((~v113(constB131)) | (~v126(constB131)))),
% 15.41/10.62 inference(tautology,[status(thm)],[])).
% 15.41/10.62 tff(19158,plain,
% 15.41/10.62 (v112(constB131)),
% 15.41/10.62 inference(unit_resolution,[status(thm)],[19157, 19156, 14434])).
% 15.41/10.62 tff(19159,plain,
% 15.41/10.62 ((v111(constB131) | v112(constB131)) | (~v112(constB131))),
% 15.41/10.62 inference(tautology,[status(thm)],[])).
% 15.41/10.62 tff(19160,plain,
% 15.41/10.62 (v111(constB131) | v112(constB131)),
% 15.41/10.62 inference(unit_resolution,[status(thm)],[19159, 19158])).
% 15.41/10.62 tff(19161,plain,
% 15.41/10.62 ((~(v108(constB131) <=> (v111(constB131) | v112(constB131)))) | v108(constB131) | (~(v111(constB131) | v112(constB131)))),
% 15.41/10.62 inference(tautology,[status(thm)],[])).
% 15.41/10.62 tff(19162,plain,
% 15.41/10.62 (v108(constB131)),
% 15.41/10.62 inference(unit_resolution,[status(thm)],[19161, 19160, 14432])).
% 15.41/10.62 tff(19163,plain,
% 15.41/10.62 ((~(v110(constB132) <=> v108(constB131))) | v110(constB132) | (~v108(constB131))),
% 15.41/10.62 inference(tautology,[status(thm)],[])).
% 15.41/10.62 tff(19164,plain,
% 15.41/10.62 (v110(constB132)),
% 15.41/10.62 inference(unit_resolution,[status(thm)],[19163, 19162, 14430])).
% 15.41/10.62 tff(19165,plain,
% 15.41/10.62 ((~((~v101(constB132)) | (~v110(constB132)))) | (~v101(constB132)) | (~v110(constB132))),
% 15.41/10.62 inference(tautology,[status(thm)],[])).
% 15.41/10.62 tff(19166,plain,
% 15.41/10.62 (~((~v101(constB132)) | (~v110(constB132)))),
% 15.41/10.62 inference(unit_resolution,[status(thm)],[19165, 19164, 14426])).
% 15.41/10.62 tff(19167,plain,
% 15.41/10.62 ((~(v100(constB132) <=> (~((~v101(constB132)) | (~v110(constB132)))))) | v100(constB132) | ((~v101(constB132)) | (~v110(constB132)))),
% 15.41/10.62 inference(tautology,[status(thm)],[])).
% 15.41/10.62 tff(19168,plain,
% 15.41/10.62 (v100(constB132)),
% 15.41/10.62 inference(unit_resolution,[status(thm)],[19167, 19166, 14395])).
% 15.41/10.62 tff(19169,plain,
% 15.41/10.62 (((~![VarNext: $i] : ((~v100(VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v129(VarNext, B))))) | ((~v100(constB132)) | ![B: $i] : ((~less_3(B)) | (v90(constB132, B) <=> v129(constB132, B))))) <=> ((~![VarNext: $i] : ((~v100(VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v129(VarNext, B))))) | (~v100(constB132)) | ![B: $i] : ((~less_3(B)) | (v90(constB132, B) <=> v129(constB132, B))))),
% 15.41/10.62 inference(rewrite,[status(thm)],[])).
% 15.41/10.62 tff(19170,plain,
% 15.41/10.62 ((~![VarNext: $i] : ((~v100(VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v129(VarNext, B))))) | ((~v100(constB132)) | ![B: $i] : ((~less_3(B)) | (v90(constB132, B) <=> v129(constB132, B))))),
% 15.41/10.62 inference(quant_inst,[status(thm)],[])).
% 15.41/10.62 tff(19171,plain,
% 15.41/10.62 ((~![VarNext: $i] : ((~v100(VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v129(VarNext, B))))) | (~v100(constB132)) | ![B: $i] : ((~less_3(B)) | (v90(constB132, B) <=> v129(constB132, B)))),
% 15.41/10.62 inference(modus_ponens,[status(thm)],[19170, 19169])).
% 15.41/10.62 tff(19172,plain,
% 15.41/10.62 ((~v100(constB132)) | ![B: $i] : ((~less_3(B)) | (v90(constB132, B) <=> v129(constB132, B)))),
% 15.41/10.62 inference(unit_resolution,[status(thm)],[19171, 5134])).
% 15.41/10.62 tff(19173,plain,
% 15.41/10.62 (![B: $i] : ((~less_3(B)) | (v90(constB132, B) <=> v129(constB132, B)))),
% 15.41/10.62 inference(unit_resolution,[status(thm)],[19172, 19168])).
% 15.41/10.62 tff(19174,plain,
% 15.41/10.62 (((~![B: $i] : ((~less_3(B)) | (v90(constB132, B) <=> v129(constB132, B)))) | ((~less_3(bitIndex2)) | (v90(constB132, bitIndex2) <=> v129(constB132, bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v90(constB132, B) <=> v129(constB132, B)))) | (~less_3(bitIndex2)) | (v90(constB132, bitIndex2) <=> v129(constB132, bitIndex2)))),
% 15.41/10.62 inference(rewrite,[status(thm)],[])).
% 15.41/10.62 tff(19175,plain,
% 15.41/10.62 ((~![B: $i] : ((~less_3(B)) | (v90(constB132, B) <=> v129(constB132, B)))) | ((~less_3(bitIndex2)) | (v90(constB132, bitIndex2) <=> v129(constB132, bitIndex2)))),
% 15.41/10.62 inference(quant_inst,[status(thm)],[])).
% 15.41/10.62 tff(19176,plain,
% 15.41/10.62 ((~![B: $i] : ((~less_3(B)) | (v90(constB132, B) <=> v129(constB132, B)))) | (~less_3(bitIndex2)) | (v90(constB132, bitIndex2) <=> v129(constB132, bitIndex2))),
% 15.41/10.62 inference(modus_ponens,[status(thm)],[19175, 19174])).
% 15.41/10.62 tff(19177,plain,
% 15.41/10.62 (v90(constB132, bitIndex2) <=> v129(constB132, bitIndex2)),
% 15.41/10.62 inference(unit_resolution,[status(thm)],[19176, 413, 19173])).
% 15.41/10.62 tff(19178,plain,
% 15.41/10.62 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v129(VarNext, B) <=> v127(VarCurr, B))))) | ((~nextState(constB131, constB132)) | ![B: $i] : ((~less_3(B)) | (v129(constB132, B) <=> v127(constB131, B))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v129(VarNext, B) <=> v127(VarCurr, B))))) | (~nextState(constB131, constB132)) | ![B: $i] : ((~less_3(B)) | (v129(constB132, B) <=> v127(constB131, B))))),
% 15.41/10.62 inference(rewrite,[status(thm)],[])).
% 15.41/10.62 tff(19179,plain,
% 15.41/10.62 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v129(VarNext, B) <=> v127(VarCurr, B))))) | ((~nextState(constB131, constB132)) | ![B: $i] : ((~less_3(B)) | (v129(constB132, B) <=> v127(constB131, B))))),
% 15.41/10.62 inference(quant_inst,[status(thm)],[])).
% 15.41/10.62 tff(19180,plain,
% 15.41/10.62 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v129(VarNext, B) <=> v127(VarCurr, B))))) | (~nextState(constB131, constB132)) | ![B: $i] : ((~less_3(B)) | (v129(constB132, B) <=> v127(constB131, B)))),
% 15.41/10.62 inference(modus_ponens,[status(thm)],[19179, 19178])).
% 15.41/10.62 tff(19181,plain,
% 15.41/10.62 (![B: $i] : ((~less_3(B)) | (v129(constB132, B) <=> v127(constB131, B)))),
% 15.41/10.62 inference(unit_resolution,[status(thm)],[19180, 14391, 5156])).
% 15.41/10.62 tff(19182,plain,
% 15.41/10.62 (((~![B: $i] : ((~less_3(B)) | (v129(constB132, B) <=> v127(constB131, B)))) | ((~less_3(bitIndex2)) | (v129(constB132, bitIndex2) <=> v127(constB131, bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v129(constB132, B) <=> v127(constB131, B)))) | (~less_3(bitIndex2)) | (v129(constB132, bitIndex2) <=> v127(constB131, bitIndex2)))),
% 15.41/10.62 inference(rewrite,[status(thm)],[])).
% 15.41/10.62 tff(19183,plain,
% 15.41/10.62 ((~![B: $i] : ((~less_3(B)) | (v129(constB132, B) <=> v127(constB131, B)))) | ((~less_3(bitIndex2)) | (v129(constB132, bitIndex2) <=> v127(constB131, bitIndex2)))),
% 15.41/10.62 inference(quant_inst,[status(thm)],[])).
% 15.41/10.62 tff(19184,plain,
% 15.41/10.62 ((~![B: $i] : ((~less_3(B)) | (v129(constB132, B) <=> v127(constB131, B)))) | (~less_3(bitIndex2)) | (v129(constB132, bitIndex2) <=> v127(constB131, bitIndex2))),
% 15.41/10.62 inference(modus_ponens,[status(thm)],[19183, 19182])).
% 15.41/10.62 tff(19185,plain,
% 15.41/10.62 (v129(constB132, bitIndex2) <=> v127(constB131, bitIndex2)),
% 15.41/10.62 inference(unit_resolution,[status(thm)],[19184, 413, 19181])).
% 15.41/10.62 tff(19186,plain,
% 15.41/10.62 (((~![VarCurr: $i] : (v111(VarCurr) | ![B: $i] : ((~less_3(B)) | (v127(VarCurr, B) <=> v130(VarCurr, B))))) | (v111(constB131) | ![B: $i] : ((~less_3(B)) | (v127(constB131, B) <=> v130(constB131, B))))) <=> ((~![VarCurr: $i] : (v111(VarCurr) | ![B: $i] : ((~less_3(B)) | (v127(VarCurr, B) <=> v130(VarCurr, B))))) | v111(constB131) | ![B: $i] : ((~less_3(B)) | (v127(constB131, B) <=> v130(constB131, B))))),
% 15.41/10.62 inference(rewrite,[status(thm)],[])).
% 15.41/10.62 tff(19187,plain,
% 15.41/10.62 ((~![VarCurr: $i] : (v111(VarCurr) | ![B: $i] : ((~less_3(B)) | (v127(VarCurr, B) <=> v130(VarCurr, B))))) | (v111(constB131) | ![B: $i] : ((~less_3(B)) | (v127(constB131, B) <=> v130(constB131, B))))),
% 15.41/10.62 inference(quant_inst,[status(thm)],[])).
% 15.41/10.62 tff(19188,plain,
% 15.41/10.62 ((~![VarCurr: $i] : (v111(VarCurr) | ![B: $i] : ((~less_3(B)) | (v127(VarCurr, B) <=> v130(VarCurr, B))))) | v111(constB131) | ![B: $i] : ((~less_3(B)) | (v127(constB131, B) <=> v130(constB131, B)))),
% 15.41/10.62 inference(modus_ponens,[status(thm)],[19187, 19186])).
% 15.41/10.62 tff(19189,plain,
% 15.41/10.62 (![B: $i] : ((~less_3(B)) | (v127(constB131, B) <=> v130(constB131, B)))),
% 15.41/10.62 inference(unit_resolution,[status(thm)],[19188, 5177, 19150])).
% 15.41/10.62 tff(19190,plain,
% 15.41/10.62 (((~![B: $i] : ((~less_3(B)) | (v127(constB131, B) <=> v130(constB131, B)))) | ((~less_3(bitIndex2)) | (v127(constB131, bitIndex2) <=> v130(constB131, bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v127(constB131, B) <=> v130(constB131, B)))) | (~less_3(bitIndex2)) | (v127(constB131, bitIndex2) <=> v130(constB131, bitIndex2)))),
% 15.41/10.62 inference(rewrite,[status(thm)],[])).
% 15.41/10.62 tff(19191,plain,
% 15.41/10.62 ((~![B: $i] : ((~less_3(B)) | (v127(constB131, B) <=> v130(constB131, B)))) | ((~less_3(bitIndex2)) | (v127(constB131, bitIndex2) <=> v130(constB131, bitIndex2)))),
% 15.41/10.62 inference(quant_inst,[status(thm)],[])).
% 15.41/10.62 tff(19192,plain,
% 15.41/10.62 ((~![B: $i] : ((~less_3(B)) | (v127(constB131, B) <=> v130(constB131, B)))) | (~less_3(bitIndex2)) | (v127(constB131, bitIndex2) <=> v130(constB131, bitIndex2))),
% 15.41/10.62 inference(modus_ponens,[status(thm)],[19191, 19190])).
% 15.41/10.62 tff(19193,plain,
% 15.41/10.62 (v127(constB131, bitIndex2) <=> v130(constB131, bitIndex2)),
% 15.41/10.62 inference(unit_resolution,[status(thm)],[19192, 413, 19189])).
% 15.41/10.62 tff(19194,plain,
% 15.41/10.62 (((~![VarCurr: $i] : ((~v122(VarCurr)) | ![B: $i] : ((~less_3(B)) | (v130(VarCurr, B) <=> b100(B))))) | ((~v122(constB131)) | ![B: $i] : ((~less_3(B)) | (v130(constB131, B) <=> b100(B))))) <=> ((~![VarCurr: $i] : ((~v122(VarCurr)) | ![B: $i] : ((~less_3(B)) | (v130(VarCurr, B) <=> b100(B))))) | (~v122(constB131)) | ![B: $i] : ((~less_3(B)) | (v130(constB131, B) <=> b100(B))))),
% 15.41/10.62 inference(rewrite,[status(thm)],[])).
% 15.41/10.62 tff(19195,plain,
% 15.41/10.62 ((~![VarCurr: $i] : ((~v122(VarCurr)) | ![B: $i] : ((~less_3(B)) | (v130(VarCurr, B) <=> b100(B))))) | ((~v122(constB131)) | ![B: $i] : ((~less_3(B)) | (v130(constB131, B) <=> b100(B))))),
% 15.41/10.62 inference(quant_inst,[status(thm)],[])).
% 15.41/10.62 tff(19196,plain,
% 15.41/10.62 ((~![VarCurr: $i] : ((~v122(VarCurr)) | ![B: $i] : ((~less_3(B)) | (v130(VarCurr, B) <=> b100(B))))) | (~v122(constB131)) | ![B: $i] : ((~less_3(B)) | (v130(constB131, B) <=> b100(B)))),
% 15.41/10.62 inference(modus_ponens,[status(thm)],[19195, 19194])).
% 15.41/10.62 tff(19197,plain,
% 15.41/10.62 ((~v122(constB131)) | ![B: $i] : ((~less_3(B)) | (v130(constB131, B) <=> b100(B)))),
% 15.41/10.62 inference(unit_resolution,[status(thm)],[19196, 6153])).
% 15.41/10.62 tff(19198,plain,
% 15.41/10.62 (![B: $i] : ((~less_3(B)) | (v130(constB131, B) <=> b100(B)))),
% 15.41/10.62 inference(unit_resolution,[status(thm)],[19197, 19125])).
% 15.41/10.62 tff(19199,plain,
% 15.41/10.62 (((~![B: $i] : ((~less_3(B)) | (v130(constB131, B) <=> b100(B)))) | ((~less_3(bitIndex2)) | (v130(constB131, bitIndex2) <=> b100(bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v130(constB131, B) <=> b100(B)))) | (~less_3(bitIndex2)) | (v130(constB131, bitIndex2) <=> b100(bitIndex2)))),
% 15.41/10.62 inference(rewrite,[status(thm)],[])).
% 15.41/10.62 tff(19200,plain,
% 15.41/10.62 ((~![B: $i] : ((~less_3(B)) | (v130(constB131, B) <=> b100(B)))) | ((~less_3(bitIndex2)) | (v130(constB131, bitIndex2) <=> b100(bitIndex2)))),
% 15.41/10.62 inference(quant_inst,[status(thm)],[])).
% 15.41/10.62 tff(19201,plain,
% 15.41/10.62 ((~![B: $i] : ((~less_3(B)) | (v130(constB131, B) <=> b100(B)))) | (~less_3(bitIndex2)) | (v130(constB131, bitIndex2) <=> b100(bitIndex2))),
% 15.41/10.62 inference(modus_ponens,[status(thm)],[19200, 19199])).
% 15.41/10.62 tff(19202,plain,
% 15.41/10.62 (v130(constB131, bitIndex2) <=> b100(bitIndex2)),
% 15.41/10.62 inference(unit_resolution,[status(thm)],[19201, 413, 19198])).
% 15.41/10.62 tff(19203,plain,
% 15.41/10.62 ((~(v130(constB131, bitIndex2) <=> b100(bitIndex2))) | v130(constB131, bitIndex2) | (~b100(bitIndex2))),
% 15.41/10.62 inference(tautology,[status(thm)],[])).
% 15.41/10.62 tff(19204,plain,
% 15.41/10.62 ((~(v130(constB131, bitIndex2) <=> b100(bitIndex2))) | v130(constB131, bitIndex2)),
% 15.41/10.62 inference(unit_resolution,[status(thm)],[19203, 5209])).
% 15.41/10.62 tff(19205,plain,
% 15.41/10.62 (v130(constB131, bitIndex2)),
% 15.41/10.62 inference(unit_resolution,[status(thm)],[19204, 19202])).
% 15.41/10.62 tff(19206,plain,
% 15.41/10.62 ((~(v127(constB131, bitIndex2) <=> v130(constB131, bitIndex2))) | v127(constB131, bitIndex2) | (~v130(constB131, bitIndex2))),
% 15.41/10.62 inference(tautology,[status(thm)],[])).
% 15.41/10.62 tff(19207,plain,
% 15.41/10.62 (v127(constB131, bitIndex2)),
% 15.41/10.62 inference(unit_resolution,[status(thm)],[19206, 19205, 19193])).
% 15.41/10.62 tff(19208,plain,
% 15.41/10.62 ((~(v129(constB132, bitIndex2) <=> v127(constB131, bitIndex2))) | v129(constB132, bitIndex2) | (~v127(constB131, bitIndex2))),
% 15.41/10.62 inference(tautology,[status(thm)],[])).
% 15.41/10.62 tff(19209,plain,
% 15.41/10.62 (v129(constB132, bitIndex2)),
% 15.41/10.62 inference(unit_resolution,[status(thm)],[19208, 19207, 19185])).
% 15.41/10.62 tff(19210,plain,
% 15.41/10.62 ((~(v90(constB132, bitIndex2) <=> v129(constB132, bitIndex2))) | v90(constB132, bitIndex2) | (~v129(constB132, bitIndex2))),
% 15.41/10.62 inference(tautology,[status(thm)],[])).
% 15.41/10.62 tff(19211,plain,
% 15.41/10.62 (v90(constB132, bitIndex2)),
% 15.41/10.62 inference(unit_resolution,[status(thm)],[19210, 19209, 19177])).
% 15.41/10.62 tff(19212,plain,
% 15.41/10.62 ((~(v90(constB133, bitIndex2) <=> v90(constB132, bitIndex2))) | v90(constB133, bitIndex2) | (~v90(constB132, bitIndex2))),
% 15.41/10.62 inference(tautology,[status(thm)],[])).
% 15.41/10.62 tff(19213,plain,
% 15.41/10.62 (v90(constB133, bitIndex2)),
% 15.41/10.62 inference(unit_resolution,[status(thm)],[19212, 19211, 14388])).
% 15.41/10.62 tff(19214,plain,
% 15.41/10.62 (((~![B: $i] : ((~less_3(B)) | (v90(constB133, B) <=> v90(constB132, B)))) | ((~less_3(bitIndex0)) | (v90(constB133, bitIndex0) <=> v90(constB132, bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v90(constB133, B) <=> v90(constB132, B)))) | (~less_3(bitIndex0)) | (v90(constB133, bitIndex0) <=> v90(constB132, bitIndex0)))),
% 15.41/10.62 inference(rewrite,[status(thm)],[])).
% 15.41/10.62 tff(19215,plain,
% 15.41/10.62 ((~![B: $i] : ((~less_3(B)) | (v90(constB133, B) <=> v90(constB132, B)))) | ((~less_3(bitIndex0)) | (v90(constB133, bitIndex0) <=> v90(constB132, bitIndex0)))),
% 15.41/10.62 inference(quant_inst,[status(thm)],[])).
% 15.41/10.62 tff(19216,plain,
% 15.41/10.62 ((~![B: $i] : ((~less_3(B)) | (v90(constB133, B) <=> v90(constB132, B)))) | (~less_3(bitIndex0)) | (v90(constB133, bitIndex0) <=> v90(constB132, bitIndex0))),
% 15.41/10.62 inference(modus_ponens,[status(thm)],[19215, 19214])).
% 15.41/10.62 tff(19217,plain,
% 15.41/10.62 (v90(constB133, bitIndex0) <=> v90(constB132, bitIndex0)),
% 15.41/10.62 inference(unit_resolution,[status(thm)],[19216, 5004, 14384])).
% 15.41/10.62 tff(19218,plain,
% 15.41/10.62 (((~![B: $i] : ((~less_3(B)) | (v90(constB132, B) <=> v129(constB132, B)))) | ((~less_3(bitIndex0)) | (v90(constB132, bitIndex0) <=> v129(constB132, bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v90(constB132, B) <=> v129(constB132, B)))) | (~less_3(bitIndex0)) | (v90(constB132, bitIndex0) <=> v129(constB132, bitIndex0)))),
% 15.41/10.62 inference(rewrite,[status(thm)],[])).
% 15.41/10.62 tff(19219,plain,
% 15.41/10.62 ((~![B: $i] : ((~less_3(B)) | (v90(constB132, B) <=> v129(constB132, B)))) | ((~less_3(bitIndex0)) | (v90(constB132, bitIndex0) <=> v129(constB132, bitIndex0)))),
% 15.41/10.62 inference(quant_inst,[status(thm)],[])).
% 15.41/10.63 tff(19220,plain,
% 15.41/10.63 ((~![B: $i] : ((~less_3(B)) | (v90(constB132, B) <=> v129(constB132, B)))) | (~less_3(bitIndex0)) | (v90(constB132, bitIndex0) <=> v129(constB132, bitIndex0))),
% 15.41/10.63 inference(modus_ponens,[status(thm)],[19219, 19218])).
% 15.41/10.63 tff(19221,plain,
% 15.41/10.63 (v90(constB132, bitIndex0) <=> v129(constB132, bitIndex0)),
% 15.41/10.63 inference(unit_resolution,[status(thm)],[19220, 5004, 19173])).
% 15.41/10.63 tff(19222,plain,
% 15.41/10.63 (((~![B: $i] : ((~less_3(B)) | (v129(constB132, B) <=> v127(constB131, B)))) | ((~less_3(bitIndex0)) | (v129(constB132, bitIndex0) <=> v127(constB131, bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v129(constB132, B) <=> v127(constB131, B)))) | (~less_3(bitIndex0)) | (v129(constB132, bitIndex0) <=> v127(constB131, bitIndex0)))),
% 15.41/10.63 inference(rewrite,[status(thm)],[])).
% 15.41/10.63 tff(19223,plain,
% 15.41/10.63 ((~![B: $i] : ((~less_3(B)) | (v129(constB132, B) <=> v127(constB131, B)))) | ((~less_3(bitIndex0)) | (v129(constB132, bitIndex0) <=> v127(constB131, bitIndex0)))),
% 15.41/10.63 inference(quant_inst,[status(thm)],[])).
% 15.41/10.63 tff(19224,plain,
% 15.41/10.63 ((~![B: $i] : ((~less_3(B)) | (v129(constB132, B) <=> v127(constB131, B)))) | (~less_3(bitIndex0)) | (v129(constB132, bitIndex0) <=> v127(constB131, bitIndex0))),
% 15.41/10.63 inference(modus_ponens,[status(thm)],[19223, 19222])).
% 15.41/10.63 tff(19225,plain,
% 15.41/10.63 (v129(constB132, bitIndex0) <=> v127(constB131, bitIndex0)),
% 15.41/10.63 inference(unit_resolution,[status(thm)],[19224, 5004, 19181])).
% 15.41/10.63 tff(19226,plain,
% 15.41/10.63 (((~![B: $i] : ((~less_3(B)) | (v127(constB131, B) <=> v130(constB131, B)))) | ((~less_3(bitIndex0)) | (v127(constB131, bitIndex0) <=> v130(constB131, bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v127(constB131, B) <=> v130(constB131, B)))) | (~less_3(bitIndex0)) | (v127(constB131, bitIndex0) <=> v130(constB131, bitIndex0)))),
% 15.41/10.63 inference(rewrite,[status(thm)],[])).
% 15.41/10.63 tff(19227,plain,
% 15.41/10.63 ((~![B: $i] : ((~less_3(B)) | (v127(constB131, B) <=> v130(constB131, B)))) | ((~less_3(bitIndex0)) | (v127(constB131, bitIndex0) <=> v130(constB131, bitIndex0)))),
% 15.41/10.63 inference(quant_inst,[status(thm)],[])).
% 15.41/10.63 tff(19228,plain,
% 15.41/10.63 ((~![B: $i] : ((~less_3(B)) | (v127(constB131, B) <=> v130(constB131, B)))) | (~less_3(bitIndex0)) | (v127(constB131, bitIndex0) <=> v130(constB131, bitIndex0))),
% 15.41/10.63 inference(modus_ponens,[status(thm)],[19227, 19226])).
% 15.41/10.63 tff(19229,plain,
% 15.41/10.63 (v127(constB131, bitIndex0) <=> v130(constB131, bitIndex0)),
% 15.41/10.63 inference(unit_resolution,[status(thm)],[19228, 5004, 19189])).
% 15.41/10.63 tff(19230,plain,
% 15.41/10.63 (((~![B: $i] : ((~less_3(B)) | (v130(constB131, B) <=> b100(B)))) | ((~less_3(bitIndex0)) | (v130(constB131, bitIndex0) <=> b100(bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v130(constB131, B) <=> b100(B)))) | (~less_3(bitIndex0)) | (v130(constB131, bitIndex0) <=> b100(bitIndex0)))),
% 15.41/10.63 inference(rewrite,[status(thm)],[])).
% 15.41/10.63 tff(19231,plain,
% 15.41/10.63 ((~![B: $i] : ((~less_3(B)) | (v130(constB131, B) <=> b100(B)))) | ((~less_3(bitIndex0)) | (v130(constB131, bitIndex0) <=> b100(bitIndex0)))),
% 15.41/10.63 inference(quant_inst,[status(thm)],[])).
% 15.41/10.63 tff(19232,plain,
% 15.41/10.63 ((~![B: $i] : ((~less_3(B)) | (v130(constB131, B) <=> b100(B)))) | (~less_3(bitIndex0)) | (v130(constB131, bitIndex0) <=> b100(bitIndex0))),
% 15.41/10.63 inference(modus_ponens,[status(thm)],[19231, 19230])).
% 15.41/10.63 tff(19233,plain,
% 15.41/10.63 (v130(constB131, bitIndex0) <=> b100(bitIndex0)),
% 15.41/10.63 inference(unit_resolution,[status(thm)],[19232, 5004, 19198])).
% 15.41/10.63 tff(19234,plain,
% 15.41/10.63 ((~(v130(constB131, bitIndex0) <=> b100(bitIndex0))) | (~v130(constB131, bitIndex0)) | b100(bitIndex0)),
% 15.41/10.63 inference(tautology,[status(thm)],[])).
% 15.41/10.63 tff(19235,plain,
% 15.41/10.63 ((~(v130(constB131, bitIndex0) <=> b100(bitIndex0))) | (~v130(constB131, bitIndex0))),
% 15.41/10.63 inference(unit_resolution,[status(thm)],[19234, 5243])).
% 15.41/10.63 tff(19236,plain,
% 15.41/10.63 (~v130(constB131, bitIndex0)),
% 15.41/10.63 inference(unit_resolution,[status(thm)],[19235, 19233])).
% 15.41/10.63 tff(19237,plain,
% 15.41/10.63 ((~(v127(constB131, bitIndex0) <=> v130(constB131, bitIndex0))) | (~v127(constB131, bitIndex0)) | v130(constB131, bitIndex0)),
% 15.41/10.63 inference(tautology,[status(thm)],[])).
% 15.41/10.63 tff(19238,plain,
% 15.41/10.63 (~v127(constB131, bitIndex0)),
% 15.41/10.63 inference(unit_resolution,[status(thm)],[19237, 19236, 19229])).
% 15.41/10.63 tff(19239,plain,
% 15.41/10.63 ((~(v129(constB132, bitIndex0) <=> v127(constB131, bitIndex0))) | (~v129(constB132, bitIndex0)) | v127(constB131, bitIndex0)),
% 15.41/10.63 inference(tautology,[status(thm)],[])).
% 15.41/10.63 tff(19240,plain,
% 15.41/10.63 (~v129(constB132, bitIndex0)),
% 15.41/10.63 inference(unit_resolution,[status(thm)],[19239, 19238, 19225])).
% 15.41/10.63 tff(19241,plain,
% 15.41/10.63 ((~(v90(constB132, bitIndex0) <=> v129(constB132, bitIndex0))) | (~v90(constB132, bitIndex0)) | v129(constB132, bitIndex0)),
% 15.41/10.63 inference(tautology,[status(thm)],[])).
% 15.41/10.63 tff(19242,plain,
% 15.41/10.63 (~v90(constB132, bitIndex0)),
% 15.41/10.63 inference(unit_resolution,[status(thm)],[19241, 19240, 19221])).
% 15.41/10.63 tff(19243,plain,
% 15.41/10.63 ((~(v90(constB133, bitIndex0) <=> v90(constB132, bitIndex0))) | (~v90(constB133, bitIndex0)) | v90(constB132, bitIndex0)),
% 15.41/10.63 inference(tautology,[status(thm)],[])).
% 15.41/10.63 tff(19244,plain,
% 15.41/10.63 (~v90(constB133, bitIndex0)),
% 15.41/10.63 inference(unit_resolution,[status(thm)],[19243, 19242, 19217])).
% 15.41/10.63 tff(19245,plain,
% 15.41/10.63 (((~![B: $i] : ((~less_3(B)) | (v90(constB133, B) <=> v90(constB132, B)))) | ((~less_3(bitIndex1)) | (v90(constB133, bitIndex1) <=> v90(constB132, bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v90(constB133, B) <=> v90(constB132, B)))) | (~less_3(bitIndex1)) | (v90(constB133, bitIndex1) <=> v90(constB132, bitIndex1)))),
% 15.41/10.63 inference(rewrite,[status(thm)],[])).
% 15.41/10.63 tff(19246,plain,
% 15.41/10.63 ((~![B: $i] : ((~less_3(B)) | (v90(constB133, B) <=> v90(constB132, B)))) | ((~less_3(bitIndex1)) | (v90(constB133, bitIndex1) <=> v90(constB132, bitIndex1)))),
% 15.41/10.63 inference(quant_inst,[status(thm)],[])).
% 15.41/10.63 tff(19247,plain,
% 15.41/10.63 ((~![B: $i] : ((~less_3(B)) | (v90(constB133, B) <=> v90(constB132, B)))) | (~less_3(bitIndex1)) | (v90(constB133, bitIndex1) <=> v90(constB132, bitIndex1))),
% 15.41/10.63 inference(modus_ponens,[status(thm)],[19246, 19245])).
% 15.41/10.63 tff(19248,plain,
% 15.41/10.63 (v90(constB133, bitIndex1) <=> v90(constB132, bitIndex1)),
% 15.41/10.63 inference(unit_resolution,[status(thm)],[19247, 5017, 14384])).
% 15.41/10.63 tff(19249,plain,
% 15.41/10.63 (((~![B: $i] : ((~less_3(B)) | (v90(constB132, B) <=> v129(constB132, B)))) | ((~less_3(bitIndex1)) | (v90(constB132, bitIndex1) <=> v129(constB132, bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v90(constB132, B) <=> v129(constB132, B)))) | (~less_3(bitIndex1)) | (v90(constB132, bitIndex1) <=> v129(constB132, bitIndex1)))),
% 15.41/10.63 inference(rewrite,[status(thm)],[])).
% 15.41/10.63 tff(19250,plain,
% 15.41/10.63 ((~![B: $i] : ((~less_3(B)) | (v90(constB132, B) <=> v129(constB132, B)))) | ((~less_3(bitIndex1)) | (v90(constB132, bitIndex1) <=> v129(constB132, bitIndex1)))),
% 15.41/10.63 inference(quant_inst,[status(thm)],[])).
% 15.41/10.63 tff(19251,plain,
% 15.41/10.63 ((~![B: $i] : ((~less_3(B)) | (v90(constB132, B) <=> v129(constB132, B)))) | (~less_3(bitIndex1)) | (v90(constB132, bitIndex1) <=> v129(constB132, bitIndex1))),
% 15.41/10.63 inference(modus_ponens,[status(thm)],[19250, 19249])).
% 15.41/10.63 tff(19252,plain,
% 15.41/10.63 (v90(constB132, bitIndex1) <=> v129(constB132, bitIndex1)),
% 15.41/10.63 inference(unit_resolution,[status(thm)],[19251, 5017, 19173])).
% 15.41/10.63 tff(19253,plain,
% 15.41/10.63 (((~![B: $i] : ((~less_3(B)) | (v129(constB132, B) <=> v127(constB131, B)))) | ((~less_3(bitIndex1)) | (v129(constB132, bitIndex1) <=> v127(constB131, bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v129(constB132, B) <=> v127(constB131, B)))) | (~less_3(bitIndex1)) | (v129(constB132, bitIndex1) <=> v127(constB131, bitIndex1)))),
% 15.41/10.63 inference(rewrite,[status(thm)],[])).
% 15.41/10.63 tff(19254,plain,
% 15.41/10.63 ((~![B: $i] : ((~less_3(B)) | (v129(constB132, B) <=> v127(constB131, B)))) | ((~less_3(bitIndex1)) | (v129(constB132, bitIndex1) <=> v127(constB131, bitIndex1)))),
% 15.41/10.63 inference(quant_inst,[status(thm)],[])).
% 15.41/10.63 tff(19255,plain,
% 15.41/10.63 ((~![B: $i] : ((~less_3(B)) | (v129(constB132, B) <=> v127(constB131, B)))) | (~less_3(bitIndex1)) | (v129(constB132, bitIndex1) <=> v127(constB131, bitIndex1))),
% 15.41/10.63 inference(modus_ponens,[status(thm)],[19254, 19253])).
% 15.41/10.63 tff(19256,plain,
% 15.41/10.63 (v129(constB132, bitIndex1) <=> v127(constB131, bitIndex1)),
% 15.41/10.63 inference(unit_resolution,[status(thm)],[19255, 5017, 19181])).
% 15.41/10.63 tff(19257,plain,
% 15.41/10.63 (((~![B: $i] : ((~less_3(B)) | (v127(constB131, B) <=> v130(constB131, B)))) | ((~less_3(bitIndex1)) | (v127(constB131, bitIndex1) <=> v130(constB131, bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v127(constB131, B) <=> v130(constB131, B)))) | (~less_3(bitIndex1)) | (v127(constB131, bitIndex1) <=> v130(constB131, bitIndex1)))),
% 15.43/10.63 inference(rewrite,[status(thm)],[])).
% 15.43/10.63 tff(19258,plain,
% 15.43/10.63 ((~![B: $i] : ((~less_3(B)) | (v127(constB131, B) <=> v130(constB131, B)))) | ((~less_3(bitIndex1)) | (v127(constB131, bitIndex1) <=> v130(constB131, bitIndex1)))),
% 15.43/10.63 inference(quant_inst,[status(thm)],[])).
% 15.43/10.63 tff(19259,plain,
% 15.43/10.63 ((~![B: $i] : ((~less_3(B)) | (v127(constB131, B) <=> v130(constB131, B)))) | (~less_3(bitIndex1)) | (v127(constB131, bitIndex1) <=> v130(constB131, bitIndex1))),
% 15.43/10.63 inference(modus_ponens,[status(thm)],[19258, 19257])).
% 15.43/10.63 tff(19260,plain,
% 15.43/10.63 (v127(constB131, bitIndex1) <=> v130(constB131, bitIndex1)),
% 15.43/10.63 inference(unit_resolution,[status(thm)],[19259, 5017, 19189])).
% 15.43/10.63 tff(19261,plain,
% 15.43/10.63 (((~![B: $i] : ((~less_3(B)) | (v130(constB131, B) <=> b100(B)))) | ((~less_3(bitIndex1)) | (v130(constB131, bitIndex1) <=> b100(bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v130(constB131, B) <=> b100(B)))) | (~less_3(bitIndex1)) | (v130(constB131, bitIndex1) <=> b100(bitIndex1)))),
% 15.43/10.63 inference(rewrite,[status(thm)],[])).
% 15.43/10.63 tff(19262,plain,
% 15.43/10.63 ((~![B: $i] : ((~less_3(B)) | (v130(constB131, B) <=> b100(B)))) | ((~less_3(bitIndex1)) | (v130(constB131, bitIndex1) <=> b100(bitIndex1)))),
% 15.43/10.63 inference(quant_inst,[status(thm)],[])).
% 15.43/10.63 tff(19263,plain,
% 15.43/10.63 ((~![B: $i] : ((~less_3(B)) | (v130(constB131, B) <=> b100(B)))) | (~less_3(bitIndex1)) | (v130(constB131, bitIndex1) <=> b100(bitIndex1))),
% 15.43/10.63 inference(modus_ponens,[status(thm)],[19262, 19261])).
% 15.43/10.63 tff(19264,plain,
% 15.43/10.63 (v130(constB131, bitIndex1) <=> b100(bitIndex1)),
% 15.43/10.63 inference(unit_resolution,[status(thm)],[19263, 5017, 19198])).
% 15.43/10.63 tff(19265,plain,
% 15.43/10.63 ((~(v130(constB131, bitIndex1) <=> b100(bitIndex1))) | (~v130(constB131, bitIndex1)) | b100(bitIndex1)),
% 15.43/10.63 inference(tautology,[status(thm)],[])).
% 15.43/10.63 tff(19266,plain,
% 15.43/10.63 ((~(v130(constB131, bitIndex1) <=> b100(bitIndex1))) | (~v130(constB131, bitIndex1))),
% 15.43/10.63 inference(unit_resolution,[status(thm)],[19265, 5277])).
% 15.43/10.63 tff(19267,plain,
% 15.43/10.63 (~v130(constB131, bitIndex1)),
% 15.43/10.63 inference(unit_resolution,[status(thm)],[19266, 19264])).
% 15.43/10.63 tff(19268,plain,
% 15.43/10.63 ((~(v127(constB131, bitIndex1) <=> v130(constB131, bitIndex1))) | (~v127(constB131, bitIndex1)) | v130(constB131, bitIndex1)),
% 15.43/10.63 inference(tautology,[status(thm)],[])).
% 15.43/10.63 tff(19269,plain,
% 15.43/10.63 (~v127(constB131, bitIndex1)),
% 15.43/10.63 inference(unit_resolution,[status(thm)],[19268, 19267, 19260])).
% 15.43/10.63 tff(19270,plain,
% 15.43/10.63 ((~(v129(constB132, bitIndex1) <=> v127(constB131, bitIndex1))) | (~v129(constB132, bitIndex1)) | v127(constB131, bitIndex1)),
% 15.43/10.63 inference(tautology,[status(thm)],[])).
% 15.43/10.63 tff(19271,plain,
% 15.43/10.63 (~v129(constB132, bitIndex1)),
% 15.43/10.63 inference(unit_resolution,[status(thm)],[19270, 19269, 19256])).
% 15.43/10.63 tff(19272,plain,
% 15.43/10.63 ((~(v90(constB132, bitIndex1) <=> v129(constB132, bitIndex1))) | (~v90(constB132, bitIndex1)) | v129(constB132, bitIndex1)),
% 15.43/10.63 inference(tautology,[status(thm)],[])).
% 15.43/10.63 tff(19273,plain,
% 15.43/10.63 (~v90(constB132, bitIndex1)),
% 15.43/10.63 inference(unit_resolution,[status(thm)],[19272, 19271, 19252])).
% 15.43/10.63 tff(19274,plain,
% 15.43/10.63 ((~(v90(constB133, bitIndex1) <=> v90(constB132, bitIndex1))) | (~v90(constB133, bitIndex1)) | v90(constB132, bitIndex1)),
% 15.43/10.63 inference(tautology,[status(thm)],[])).
% 15.43/10.63 tff(19275,plain,
% 15.43/10.63 (~v90(constB133, bitIndex1)),
% 15.43/10.63 inference(unit_resolution,[status(thm)],[19274, 19273, 19248])).
% 15.43/10.63 tff(19276,plain,
% 15.43/10.63 ((~((~v90(constB133, bitIndex2)) | v90(constB133, bitIndex1) | v90(constB133, bitIndex0))) | (~v90(constB133, bitIndex2)) | v90(constB133, bitIndex1) | v90(constB133, bitIndex0)),
% 15.43/10.63 inference(tautology,[status(thm)],[])).
% 15.43/10.63 tff(19277,plain,
% 15.43/10.63 (~((~v90(constB133, bitIndex2)) | v90(constB133, bitIndex1) | v90(constB133, bitIndex0))),
% 15.43/10.63 inference(unit_resolution,[status(thm)],[19276, 19275, 19244, 19213])).
% 15.43/10.63 tff(19278,plain,
% 15.43/10.63 ((~(v123(constB133) <=> (~((~v90(constB133, bitIndex2)) | v90(constB133, bitIndex1) | v90(constB133, bitIndex0))))) | v123(constB133) | ((~v90(constB133, bitIndex2)) | v90(constB133, bitIndex1) | v90(constB133, bitIndex0))),
% 15.43/10.63 inference(tautology,[status(thm)],[])).
% 15.43/10.63 tff(19279,plain,
% 15.43/10.63 (v123(constB133)),
% 15.43/10.63 inference(unit_resolution,[status(thm)],[19278, 19277, 14356])).
% 15.43/10.63 tff(19280,plain,
% 15.43/10.63 ((v116(constB133) | v123(constB133)) | (~v123(constB133))),
% 15.43/10.63 inference(tautology,[status(thm)],[])).
% 15.43/10.63 tff(19281,plain,
% 15.43/10.63 (v116(constB133) | v123(constB133)),
% 15.43/10.63 inference(unit_resolution,[status(thm)],[19280, 19279])).
% 15.43/10.63 tff(19282,plain,
% 15.43/10.63 ((~(v115(constB133) <=> (v116(constB133) | v123(constB133)))) | v115(constB133) | (~(v116(constB133) | v123(constB133)))),
% 15.43/10.63 inference(tautology,[status(thm)],[])).
% 15.43/10.63 tff(19283,plain,
% 15.43/10.63 (v115(constB133)),
% 15.43/10.63 inference(unit_resolution,[status(thm)],[19282, 19281, 14349])).
% 15.43/10.63 tff(19284,plain,
% 15.43/10.63 ((v115(constB133) | v124(constB133)) | (~v115(constB133))),
% 15.43/10.63 inference(tautology,[status(thm)],[])).
% 15.43/10.63 tff(19285,plain,
% 15.43/10.63 (v115(constB133) | v124(constB133)),
% 15.43/10.63 inference(unit_resolution,[status(thm)],[19284, 19283])).
% 15.43/10.63 tff(19286,plain,
% 15.43/10.63 ((~(v114(constB133) <=> (v115(constB133) | v124(constB133)))) | v114(constB133) | (~(v115(constB133) | v124(constB133)))),
% 15.43/10.63 inference(tautology,[status(thm)],[])).
% 15.43/10.63 tff(19287,plain,
% 15.43/10.63 (v114(constB133)),
% 15.43/10.63 inference(unit_resolution,[status(thm)],[19286, 19285, 14347])).
% 15.43/10.63 tff(19288,plain,
% 15.43/10.63 ((v114(constB133) | v125(constB133)) | (~v114(constB133))),
% 15.43/10.63 inference(tautology,[status(thm)],[])).
% 15.43/10.63 tff(19289,plain,
% 15.43/10.63 (v114(constB133) | v125(constB133)),
% 15.43/10.63 inference(unit_resolution,[status(thm)],[19288, 19287])).
% 15.43/10.63 tff(19290,plain,
% 15.43/10.63 ((~(v113(constB133) <=> (v114(constB133) | v125(constB133)))) | v113(constB133) | (~(v114(constB133) | v125(constB133)))),
% 15.43/10.63 inference(tautology,[status(thm)],[])).
% 15.43/10.63 tff(19291,plain,
% 15.43/10.63 (v113(constB133)),
% 15.43/10.63 inference(unit_resolution,[status(thm)],[19290, 19289, 14345])).
% 15.43/10.63 tff(19292,plain,
% 15.43/10.63 ((~![VarCurr: $i] : ((~v126(VarCurr)) <=> v111(VarCurr))) | ((~v126(constB133)) <=> v111(constB133))),
% 15.43/10.63 inference(quant_inst,[status(thm)],[])).
% 15.43/10.63 tff(19293,plain,
% 15.43/10.63 ((~v126(constB133)) <=> v111(constB133)),
% 15.43/10.63 inference(unit_resolution,[status(thm)],[19292, 5074])).
% 15.43/10.63 tff(19294,plain,
% 15.43/10.63 ((~![VarCurr: $i] : (v111(VarCurr) <=> v26(VarCurr))) | (v111(constB133) <=> v26(constB133))),
% 15.43/10.63 inference(quant_inst,[status(thm)],[])).
% 15.43/10.63 tff(19295,plain,
% 15.43/10.63 (v111(constB133) <=> v26(constB133)),
% 15.43/10.63 inference(unit_resolution,[status(thm)],[19294, 5086])).
% 15.43/10.63 tff(19296,plain,
% 15.43/10.63 ((~![VarCurr: $i] : (~v26(VarCurr))) | (~v26(constB133))),
% 15.43/10.63 inference(quant_inst,[status(thm)],[])).
% 15.43/10.63 tff(19297,plain,
% 15.43/10.63 (~v26(constB133)),
% 15.43/10.63 inference(unit_resolution,[status(thm)],[19296, 5098])).
% 15.43/10.63 tff(19298,plain,
% 15.43/10.63 ((~(v111(constB133) <=> v26(constB133))) | (~v111(constB133)) | v26(constB133)),
% 15.43/10.63 inference(tautology,[status(thm)],[])).
% 15.43/10.63 tff(19299,plain,
% 15.43/10.63 ((~(v111(constB133) <=> v26(constB133))) | (~v111(constB133))),
% 15.43/10.63 inference(unit_resolution,[status(thm)],[19298, 19297])).
% 15.43/10.63 tff(19300,plain,
% 15.43/10.63 (~v111(constB133)),
% 15.43/10.63 inference(unit_resolution,[status(thm)],[19299, 19295])).
% 15.43/10.63 tff(19301,plain,
% 15.43/10.63 ((~((~v126(constB133)) <=> v111(constB133))) | v126(constB133) | v111(constB133)),
% 15.43/10.63 inference(tautology,[status(thm)],[])).
% 15.43/10.63 tff(19302,plain,
% 15.43/10.63 ((~((~v126(constB133)) <=> v111(constB133))) | v126(constB133)),
% 15.43/10.63 inference(unit_resolution,[status(thm)],[19301, 19300])).
% 15.43/10.63 tff(19303,plain,
% 15.43/10.63 (v126(constB133)),
% 15.43/10.63 inference(unit_resolution,[status(thm)],[19302, 19293])).
% 15.43/10.63 tff(19304,plain,
% 15.43/10.63 ((~((~v113(constB133)) | (~v126(constB133)))) | (~v113(constB133)) | (~v126(constB133))),
% 15.43/10.63 inference(tautology,[status(thm)],[])).
% 15.43/10.63 tff(19305,plain,
% 15.43/10.63 ((~((~v113(constB133)) | (~v126(constB133)))) | (~v113(constB133))),
% 15.43/10.63 inference(unit_resolution,[status(thm)],[19304, 19303])).
% 15.43/10.63 tff(19306,plain,
% 15.43/10.63 (~((~v113(constB133)) | (~v126(constB133)))),
% 15.43/10.63 inference(unit_resolution,[status(thm)],[19305, 19291])).
% 15.43/10.63 tff(19307,plain,
% 15.43/10.63 ((~(v112(constB133) <=> (~((~v113(constB133)) | (~v126(constB133)))))) | v112(constB133) | ((~v113(constB133)) | (~v126(constB133)))),
% 15.43/10.63 inference(tautology,[status(thm)],[])).
% 15.43/10.63 tff(19308,plain,
% 15.43/10.63 (v112(constB133)),
% 15.43/10.63 inference(unit_resolution,[status(thm)],[19307, 19306, 14343])).
% 15.43/10.63 tff(19309,plain,
% 15.43/10.63 ((v111(constB133) | v112(constB133)) | (~v112(constB133))),
% 15.43/10.63 inference(tautology,[status(thm)],[])).
% 15.43/10.63 tff(19310,plain,
% 15.43/10.63 (v111(constB133) | v112(constB133)),
% 15.43/10.63 inference(unit_resolution,[status(thm)],[19309, 19308])).
% 15.43/10.63 tff(19311,plain,
% 15.43/10.63 ((~(v108(constB133) <=> (v111(constB133) | v112(constB133)))) | v108(constB133) | (~(v111(constB133) | v112(constB133)))),
% 15.43/10.63 inference(tautology,[status(thm)],[])).
% 15.43/10.63 tff(19312,plain,
% 15.43/10.63 (v108(constB133)),
% 15.43/10.63 inference(unit_resolution,[status(thm)],[19311, 19310, 14341])).
% 15.43/10.63 tff(19313,plain,
% 15.43/10.63 ((~(v110(constB134) <=> v108(constB133))) | v110(constB134) | (~v108(constB133))),
% 15.43/10.63 inference(tautology,[status(thm)],[])).
% 15.43/10.63 tff(19314,plain,
% 15.43/10.63 (v110(constB134)),
% 15.43/10.63 inference(unit_resolution,[status(thm)],[19313, 19312, 14339])).
% 15.43/10.63 tff(19315,plain,
% 15.43/10.63 ((~((~v101(constB134)) | (~v110(constB134)))) | (~v101(constB134)) | (~v110(constB134))),
% 15.43/10.63 inference(tautology,[status(thm)],[])).
% 15.43/10.63 tff(19316,plain,
% 15.43/10.63 (~((~v101(constB134)) | (~v110(constB134)))),
% 15.43/10.63 inference(unit_resolution,[status(thm)],[19315, 19314, 14335])).
% 15.43/10.63 tff(19317,plain,
% 15.43/10.63 ((~(v100(constB134) <=> (~((~v101(constB134)) | (~v110(constB134)))))) | v100(constB134) | ((~v101(constB134)) | (~v110(constB134)))),
% 15.43/10.63 inference(tautology,[status(thm)],[])).
% 15.43/10.63 tff(19318,plain,
% 15.43/10.63 (v100(constB134)),
% 15.43/10.63 inference(unit_resolution,[status(thm)],[19317, 19316, 14304])).
% 15.43/10.63 tff(19319,plain,
% 15.43/10.63 (((~![VarNext: $i] : ((~v100(VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v129(VarNext, B))))) | ((~v100(constB134)) | ![B: $i] : ((~less_3(B)) | (v90(constB134, B) <=> v129(constB134, B))))) <=> ((~![VarNext: $i] : ((~v100(VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v129(VarNext, B))))) | (~v100(constB134)) | ![B: $i] : ((~less_3(B)) | (v90(constB134, B) <=> v129(constB134, B))))),
% 15.43/10.63 inference(rewrite,[status(thm)],[])).
% 15.43/10.63 tff(19320,plain,
% 15.43/10.63 ((~![VarNext: $i] : ((~v100(VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v129(VarNext, B))))) | ((~v100(constB134)) | ![B: $i] : ((~less_3(B)) | (v90(constB134, B) <=> v129(constB134, B))))),
% 15.43/10.63 inference(quant_inst,[status(thm)],[])).
% 15.43/10.63 tff(19321,plain,
% 15.43/10.63 ((~![VarNext: $i] : ((~v100(VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v129(VarNext, B))))) | (~v100(constB134)) | ![B: $i] : ((~less_3(B)) | (v90(constB134, B) <=> v129(constB134, B)))),
% 15.43/10.63 inference(modus_ponens,[status(thm)],[19320, 19319])).
% 15.43/10.63 tff(19322,plain,
% 15.43/10.63 ((~v100(constB134)) | ![B: $i] : ((~less_3(B)) | (v90(constB134, B) <=> v129(constB134, B)))),
% 15.43/10.63 inference(unit_resolution,[status(thm)],[19321, 5134])).
% 15.43/10.63 tff(19323,plain,
% 15.43/10.63 (![B: $i] : ((~less_3(B)) | (v90(constB134, B) <=> v129(constB134, B)))),
% 15.43/10.63 inference(unit_resolution,[status(thm)],[19322, 19318])).
% 15.43/10.63 tff(19324,plain,
% 15.43/10.63 (((~![B: $i] : ((~less_3(B)) | (v90(constB134, B) <=> v129(constB134, B)))) | ((~less_3(bitIndex2)) | (v90(constB134, bitIndex2) <=> v129(constB134, bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v90(constB134, B) <=> v129(constB134, B)))) | (~less_3(bitIndex2)) | (v90(constB134, bitIndex2) <=> v129(constB134, bitIndex2)))),
% 15.43/10.63 inference(rewrite,[status(thm)],[])).
% 15.43/10.63 tff(19325,plain,
% 15.43/10.63 ((~![B: $i] : ((~less_3(B)) | (v90(constB134, B) <=> v129(constB134, B)))) | ((~less_3(bitIndex2)) | (v90(constB134, bitIndex2) <=> v129(constB134, bitIndex2)))),
% 15.43/10.63 inference(quant_inst,[status(thm)],[])).
% 15.43/10.63 tff(19326,plain,
% 15.43/10.63 ((~![B: $i] : ((~less_3(B)) | (v90(constB134, B) <=> v129(constB134, B)))) | (~less_3(bitIndex2)) | (v90(constB134, bitIndex2) <=> v129(constB134, bitIndex2))),
% 15.43/10.63 inference(modus_ponens,[status(thm)],[19325, 19324])).
% 15.43/10.63 tff(19327,plain,
% 15.43/10.63 (v90(constB134, bitIndex2) <=> v129(constB134, bitIndex2)),
% 15.43/10.63 inference(unit_resolution,[status(thm)],[19326, 413, 19323])).
% 15.43/10.63 tff(19328,plain,
% 15.43/10.63 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v129(VarNext, B) <=> v127(VarCurr, B))))) | ((~nextState(constB133, constB134)) | ![B: $i] : ((~less_3(B)) | (v129(constB134, B) <=> v127(constB133, B))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v129(VarNext, B) <=> v127(VarCurr, B))))) | (~nextState(constB133, constB134)) | ![B: $i] : ((~less_3(B)) | (v129(constB134, B) <=> v127(constB133, B))))),
% 15.43/10.63 inference(rewrite,[status(thm)],[])).
% 15.43/10.63 tff(19329,plain,
% 15.43/10.63 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v129(VarNext, B) <=> v127(VarCurr, B))))) | ((~nextState(constB133, constB134)) | ![B: $i] : ((~less_3(B)) | (v129(constB134, B) <=> v127(constB133, B))))),
% 15.43/10.63 inference(quant_inst,[status(thm)],[])).
% 15.43/10.63 tff(19330,plain,
% 15.43/10.63 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v129(VarNext, B) <=> v127(VarCurr, B))))) | (~nextState(constB133, constB134)) | ![B: $i] : ((~less_3(B)) | (v129(constB134, B) <=> v127(constB133, B)))),
% 15.43/10.63 inference(modus_ponens,[status(thm)],[19329, 19328])).
% 15.43/10.63 tff(19331,plain,
% 15.43/10.63 (![B: $i] : ((~less_3(B)) | (v129(constB134, B) <=> v127(constB133, B)))),
% 15.43/10.63 inference(unit_resolution,[status(thm)],[19330, 14300, 5156])).
% 15.43/10.63 tff(19332,plain,
% 15.43/10.63 (((~![B: $i] : ((~less_3(B)) | (v129(constB134, B) <=> v127(constB133, B)))) | ((~less_3(bitIndex2)) | (v129(constB134, bitIndex2) <=> v127(constB133, bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v129(constB134, B) <=> v127(constB133, B)))) | (~less_3(bitIndex2)) | (v129(constB134, bitIndex2) <=> v127(constB133, bitIndex2)))),
% 15.43/10.63 inference(rewrite,[status(thm)],[])).
% 15.43/10.63 tff(19333,plain,
% 15.43/10.63 ((~![B: $i] : ((~less_3(B)) | (v129(constB134, B) <=> v127(constB133, B)))) | ((~less_3(bitIndex2)) | (v129(constB134, bitIndex2) <=> v127(constB133, bitIndex2)))),
% 15.43/10.63 inference(quant_inst,[status(thm)],[])).
% 15.43/10.63 tff(19334,plain,
% 15.43/10.63 ((~![B: $i] : ((~less_3(B)) | (v129(constB134, B) <=> v127(constB133, B)))) | (~less_3(bitIndex2)) | (v129(constB134, bitIndex2) <=> v127(constB133, bitIndex2))),
% 15.43/10.63 inference(modus_ponens,[status(thm)],[19333, 19332])).
% 15.43/10.63 tff(19335,plain,
% 15.43/10.63 (v129(constB134, bitIndex2) <=> v127(constB133, bitIndex2)),
% 15.43/10.63 inference(unit_resolution,[status(thm)],[19334, 413, 19331])).
% 15.43/10.63 tff(19336,plain,
% 15.43/10.63 (((~![VarCurr: $i] : (v111(VarCurr) | ![B: $i] : ((~less_3(B)) | (v127(VarCurr, B) <=> v130(VarCurr, B))))) | (v111(constB133) | ![B: $i] : ((~less_3(B)) | (v127(constB133, B) <=> v130(constB133, B))))) <=> ((~![VarCurr: $i] : (v111(VarCurr) | ![B: $i] : ((~less_3(B)) | (v127(VarCurr, B) <=> v130(VarCurr, B))))) | v111(constB133) | ![B: $i] : ((~less_3(B)) | (v127(constB133, B) <=> v130(constB133, B))))),
% 15.43/10.63 inference(rewrite,[status(thm)],[])).
% 15.43/10.63 tff(19337,plain,
% 15.43/10.63 ((~![VarCurr: $i] : (v111(VarCurr) | ![B: $i] : ((~less_3(B)) | (v127(VarCurr, B) <=> v130(VarCurr, B))))) | (v111(constB133) | ![B: $i] : ((~less_3(B)) | (v127(constB133, B) <=> v130(constB133, B))))),
% 15.43/10.63 inference(quant_inst,[status(thm)],[])).
% 15.43/10.63 tff(19338,plain,
% 15.43/10.63 ((~![VarCurr: $i] : (v111(VarCurr) | ![B: $i] : ((~less_3(B)) | (v127(VarCurr, B) <=> v130(VarCurr, B))))) | v111(constB133) | ![B: $i] : ((~less_3(B)) | (v127(constB133, B) <=> v130(constB133, B)))),
% 15.43/10.63 inference(modus_ponens,[status(thm)],[19337, 19336])).
% 15.43/10.63 tff(19339,plain,
% 15.43/10.63 (![B: $i] : ((~less_3(B)) | (v127(constB133, B) <=> v130(constB133, B)))),
% 15.43/10.63 inference(unit_resolution,[status(thm)],[19338, 5177, 19300])).
% 15.43/10.63 tff(19340,plain,
% 15.43/10.63 (((~![B: $i] : ((~less_3(B)) | (v127(constB133, B) <=> v130(constB133, B)))) | ((~less_3(bitIndex2)) | (v127(constB133, bitIndex2) <=> v130(constB133, bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v127(constB133, B) <=> v130(constB133, B)))) | (~less_3(bitIndex2)) | (v127(constB133, bitIndex2) <=> v130(constB133, bitIndex2)))),
% 15.43/10.63 inference(rewrite,[status(thm)],[])).
% 15.43/10.63 tff(19341,plain,
% 15.43/10.63 ((~![B: $i] : ((~less_3(B)) | (v127(constB133, B) <=> v130(constB133, B)))) | ((~less_3(bitIndex2)) | (v127(constB133, bitIndex2) <=> v130(constB133, bitIndex2)))),
% 15.43/10.63 inference(quant_inst,[status(thm)],[])).
% 15.43/10.63 tff(19342,plain,
% 15.43/10.63 ((~![B: $i] : ((~less_3(B)) | (v127(constB133, B) <=> v130(constB133, B)))) | (~less_3(bitIndex2)) | (v127(constB133, bitIndex2) <=> v130(constB133, bitIndex2))),
% 15.43/10.63 inference(modus_ponens,[status(thm)],[19341, 19340])).
% 15.43/10.63 tff(19343,plain,
% 15.43/10.63 (v127(constB133, bitIndex2) <=> v130(constB133, bitIndex2)),
% 15.43/10.63 inference(unit_resolution,[status(thm)],[19342, 413, 19339])).
% 15.43/10.63 tff(19344,plain,
% 15.43/10.63 (((~![VarCurr: $i] : ((~v123(VarCurr)) | ![B: $i] : ((~less_3(B)) | (v130(VarCurr, B) <=> b110(B))))) | ((~v123(constB133)) | ![B: $i] : ((~less_3(B)) | (v130(constB133, B) <=> b110(B))))) <=> ((~![VarCurr: $i] : ((~v123(VarCurr)) | ![B: $i] : ((~less_3(B)) | (v130(VarCurr, B) <=> b110(B))))) | (~v123(constB133)) | ![B: $i] : ((~less_3(B)) | (v130(constB133, B) <=> b110(B))))),
% 15.43/10.63 inference(rewrite,[status(thm)],[])).
% 15.43/10.63 tff(19345,plain,
% 15.43/10.63 ((~![VarCurr: $i] : ((~v123(VarCurr)) | ![B: $i] : ((~less_3(B)) | (v130(VarCurr, B) <=> b110(B))))) | ((~v123(constB133)) | ![B: $i] : ((~less_3(B)) | (v130(constB133, B) <=> b110(B))))),
% 15.43/10.63 inference(quant_inst,[status(thm)],[])).
% 15.43/10.63 tff(19346,plain,
% 15.43/10.63 ((~![VarCurr: $i] : ((~v123(VarCurr)) | ![B: $i] : ((~less_3(B)) | (v130(VarCurr, B) <=> b110(B))))) | (~v123(constB133)) | ![B: $i] : ((~less_3(B)) | (v130(constB133, B) <=> b110(B)))),
% 15.43/10.63 inference(modus_ponens,[status(thm)],[19345, 19344])).
% 15.43/10.63 tff(19347,plain,
% 15.43/10.63 ((~v123(constB133)) | ![B: $i] : ((~less_3(B)) | (v130(constB133, B) <=> b110(B)))),
% 15.43/10.63 inference(unit_resolution,[status(thm)],[19346, 5369])).
% 15.43/10.63 tff(19348,plain,
% 15.43/10.63 (![B: $i] : ((~less_3(B)) | (v130(constB133, B) <=> b110(B)))),
% 15.43/10.63 inference(unit_resolution,[status(thm)],[19347, 19279])).
% 15.43/10.63 tff(19349,plain,
% 15.43/10.63 (((~![B: $i] : ((~less_3(B)) | (v130(constB133, B) <=> b110(B)))) | ((~less_3(bitIndex2)) | (v130(constB133, bitIndex2) <=> b110(bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v130(constB133, B) <=> b110(B)))) | (~less_3(bitIndex2)) | (v130(constB133, bitIndex2) <=> b110(bitIndex2)))),
% 15.43/10.63 inference(rewrite,[status(thm)],[])).
% 15.43/10.63 tff(19350,plain,
% 15.43/10.63 ((~![B: $i] : ((~less_3(B)) | (v130(constB133, B) <=> b110(B)))) | ((~less_3(bitIndex2)) | (v130(constB133, bitIndex2) <=> b110(bitIndex2)))),
% 15.43/10.63 inference(quant_inst,[status(thm)],[])).
% 15.43/10.63 tff(19351,plain,
% 15.43/10.63 ((~![B: $i] : ((~less_3(B)) | (v130(constB133, B) <=> b110(B)))) | (~less_3(bitIndex2)) | (v130(constB133, bitIndex2) <=> b110(bitIndex2))),
% 15.43/10.63 inference(modus_ponens,[status(thm)],[19350, 19349])).
% 15.43/10.63 tff(19352,plain,
% 15.43/10.63 (v130(constB133, bitIndex2) <=> b110(bitIndex2)),
% 15.43/10.63 inference(unit_resolution,[status(thm)],[19351, 413, 19348])).
% 15.43/10.63 tff(19353,plain,
% 15.43/10.63 ((~(v130(constB133, bitIndex2) <=> b110(bitIndex2))) | v130(constB133, bitIndex2) | (~b110(bitIndex2))),
% 15.43/10.63 inference(tautology,[status(thm)],[])).
% 15.43/10.63 tff(19354,plain,
% 15.43/10.63 ((~(v130(constB133, bitIndex2) <=> b110(bitIndex2))) | v130(constB133, bitIndex2)),
% 15.43/10.63 inference(unit_resolution,[status(thm)],[19353, 5381])).
% 15.43/10.63 tff(19355,plain,
% 15.43/10.63 (v130(constB133, bitIndex2)),
% 15.43/10.63 inference(unit_resolution,[status(thm)],[19354, 19352])).
% 15.43/10.63 tff(19356,plain,
% 15.43/10.63 ((~(v127(constB133, bitIndex2) <=> v130(constB133, bitIndex2))) | v127(constB133, bitIndex2) | (~v130(constB133, bitIndex2))),
% 15.43/10.63 inference(tautology,[status(thm)],[])).
% 15.43/10.63 tff(19357,plain,
% 15.43/10.63 (v127(constB133, bitIndex2)),
% 15.43/10.63 inference(unit_resolution,[status(thm)],[19356, 19355, 19343])).
% 15.43/10.63 tff(19358,plain,
% 15.43/10.63 ((~(v129(constB134, bitIndex2) <=> v127(constB133, bitIndex2))) | v129(constB134, bitIndex2) | (~v127(constB133, bitIndex2))),
% 15.43/10.63 inference(tautology,[status(thm)],[])).
% 15.43/10.63 tff(19359,plain,
% 15.43/10.63 (v129(constB134, bitIndex2)),
% 15.43/10.63 inference(unit_resolution,[status(thm)],[19358, 19357, 19335])).
% 15.43/10.63 tff(19360,plain,
% 15.43/10.63 ((~(v90(constB134, bitIndex2) <=> v129(constB134, bitIndex2))) | v90(constB134, bitIndex2) | (~v129(constB134, bitIndex2))),
% 15.43/10.63 inference(tautology,[status(thm)],[])).
% 15.43/10.63 tff(19361,plain,
% 15.43/10.63 (v90(constB134, bitIndex2)),
% 15.43/10.63 inference(unit_resolution,[status(thm)],[19360, 19359, 19327])).
% 15.43/10.63 tff(19362,plain,
% 15.43/10.63 ((~(v90(constB135, bitIndex2) <=> v90(constB134, bitIndex2))) | v90(constB135, bitIndex2) | (~v90(constB134, bitIndex2))),
% 15.43/10.63 inference(tautology,[status(thm)],[])).
% 15.43/10.64 tff(19363,plain,
% 15.43/10.64 (v90(constB135, bitIndex2)),
% 15.43/10.64 inference(unit_resolution,[status(thm)],[19362, 19361, 14297])).
% 15.43/10.64 tff(19364,plain,
% 15.43/10.64 (((~![B: $i] : ((~less_3(B)) | (v90(constB135, B) <=> v90(constB134, B)))) | ((~less_3(bitIndex0)) | (v90(constB135, bitIndex0) <=> v90(constB134, bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v90(constB135, B) <=> v90(constB134, B)))) | (~less_3(bitIndex0)) | (v90(constB135, bitIndex0) <=> v90(constB134, bitIndex0)))),
% 15.43/10.64 inference(rewrite,[status(thm)],[])).
% 15.43/10.64 tff(19365,plain,
% 15.43/10.64 ((~![B: $i] : ((~less_3(B)) | (v90(constB135, B) <=> v90(constB134, B)))) | ((~less_3(bitIndex0)) | (v90(constB135, bitIndex0) <=> v90(constB134, bitIndex0)))),
% 15.43/10.64 inference(quant_inst,[status(thm)],[])).
% 15.43/10.64 tff(19366,plain,
% 15.43/10.64 ((~![B: $i] : ((~less_3(B)) | (v90(constB135, B) <=> v90(constB134, B)))) | (~less_3(bitIndex0)) | (v90(constB135, bitIndex0) <=> v90(constB134, bitIndex0))),
% 15.43/10.64 inference(modus_ponens,[status(thm)],[19365, 19364])).
% 15.43/10.64 tff(19367,plain,
% 15.43/10.64 (v90(constB135, bitIndex0) <=> v90(constB134, bitIndex0)),
% 15.43/10.64 inference(unit_resolution,[status(thm)],[19366, 5004, 14293])).
% 15.43/10.64 tff(19368,plain,
% 15.43/10.64 (((~![B: $i] : ((~less_3(B)) | (v90(constB134, B) <=> v129(constB134, B)))) | ((~less_3(bitIndex0)) | (v90(constB134, bitIndex0) <=> v129(constB134, bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v90(constB134, B) <=> v129(constB134, B)))) | (~less_3(bitIndex0)) | (v90(constB134, bitIndex0) <=> v129(constB134, bitIndex0)))),
% 15.43/10.64 inference(rewrite,[status(thm)],[])).
% 15.43/10.64 tff(19369,plain,
% 15.43/10.64 ((~![B: $i] : ((~less_3(B)) | (v90(constB134, B) <=> v129(constB134, B)))) | ((~less_3(bitIndex0)) | (v90(constB134, bitIndex0) <=> v129(constB134, bitIndex0)))),
% 15.43/10.64 inference(quant_inst,[status(thm)],[])).
% 15.43/10.64 tff(19370,plain,
% 15.43/10.64 ((~![B: $i] : ((~less_3(B)) | (v90(constB134, B) <=> v129(constB134, B)))) | (~less_3(bitIndex0)) | (v90(constB134, bitIndex0) <=> v129(constB134, bitIndex0))),
% 15.43/10.64 inference(modus_ponens,[status(thm)],[19369, 19368])).
% 15.43/10.64 tff(19371,plain,
% 15.43/10.64 (v90(constB134, bitIndex0) <=> v129(constB134, bitIndex0)),
% 15.43/10.64 inference(unit_resolution,[status(thm)],[19370, 5004, 19323])).
% 15.43/10.64 tff(19372,plain,
% 15.43/10.64 (((~![B: $i] : ((~less_3(B)) | (v129(constB134, B) <=> v127(constB133, B)))) | ((~less_3(bitIndex0)) | (v129(constB134, bitIndex0) <=> v127(constB133, bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v129(constB134, B) <=> v127(constB133, B)))) | (~less_3(bitIndex0)) | (v129(constB134, bitIndex0) <=> v127(constB133, bitIndex0)))),
% 15.43/10.64 inference(rewrite,[status(thm)],[])).
% 15.43/10.64 tff(19373,plain,
% 15.43/10.64 ((~![B: $i] : ((~less_3(B)) | (v129(constB134, B) <=> v127(constB133, B)))) | ((~less_3(bitIndex0)) | (v129(constB134, bitIndex0) <=> v127(constB133, bitIndex0)))),
% 15.43/10.64 inference(quant_inst,[status(thm)],[])).
% 15.43/10.64 tff(19374,plain,
% 15.43/10.64 ((~![B: $i] : ((~less_3(B)) | (v129(constB134, B) <=> v127(constB133, B)))) | (~less_3(bitIndex0)) | (v129(constB134, bitIndex0) <=> v127(constB133, bitIndex0))),
% 15.43/10.64 inference(modus_ponens,[status(thm)],[19373, 19372])).
% 15.43/10.64 tff(19375,plain,
% 15.43/10.64 (v129(constB134, bitIndex0) <=> v127(constB133, bitIndex0)),
% 15.43/10.64 inference(unit_resolution,[status(thm)],[19374, 5004, 19331])).
% 15.43/10.64 tff(19376,plain,
% 15.43/10.64 (((~![B: $i] : ((~less_3(B)) | (v127(constB133, B) <=> v130(constB133, B)))) | ((~less_3(bitIndex0)) | (v127(constB133, bitIndex0) <=> v130(constB133, bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v127(constB133, B) <=> v130(constB133, B)))) | (~less_3(bitIndex0)) | (v127(constB133, bitIndex0) <=> v130(constB133, bitIndex0)))),
% 15.43/10.64 inference(rewrite,[status(thm)],[])).
% 15.43/10.64 tff(19377,plain,
% 15.43/10.64 ((~![B: $i] : ((~less_3(B)) | (v127(constB133, B) <=> v130(constB133, B)))) | ((~less_3(bitIndex0)) | (v127(constB133, bitIndex0) <=> v130(constB133, bitIndex0)))),
% 15.43/10.64 inference(quant_inst,[status(thm)],[])).
% 15.43/10.64 tff(19378,plain,
% 15.43/10.64 ((~![B: $i] : ((~less_3(B)) | (v127(constB133, B) <=> v130(constB133, B)))) | (~less_3(bitIndex0)) | (v127(constB133, bitIndex0) <=> v130(constB133, bitIndex0))),
% 15.43/10.64 inference(modus_ponens,[status(thm)],[19377, 19376])).
% 15.43/10.64 tff(19379,plain,
% 15.43/10.64 (v127(constB133, bitIndex0) <=> v130(constB133, bitIndex0)),
% 15.43/10.64 inference(unit_resolution,[status(thm)],[19378, 5004, 19339])).
% 15.43/10.64 tff(19380,plain,
% 15.43/10.64 (((~![B: $i] : ((~less_3(B)) | (v130(constB133, B) <=> b110(B)))) | ((~less_3(bitIndex0)) | (v130(constB133, bitIndex0) <=> b110(bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v130(constB133, B) <=> b110(B)))) | (~less_3(bitIndex0)) | (v130(constB133, bitIndex0) <=> b110(bitIndex0)))),
% 15.43/10.64 inference(rewrite,[status(thm)],[])).
% 15.43/10.64 tff(19381,plain,
% 15.43/10.64 ((~![B: $i] : ((~less_3(B)) | (v130(constB133, B) <=> b110(B)))) | ((~less_3(bitIndex0)) | (v130(constB133, bitIndex0) <=> b110(bitIndex0)))),
% 15.43/10.64 inference(quant_inst,[status(thm)],[])).
% 15.43/10.64 tff(19382,plain,
% 15.43/10.64 ((~![B: $i] : ((~less_3(B)) | (v130(constB133, B) <=> b110(B)))) | (~less_3(bitIndex0)) | (v130(constB133, bitIndex0) <=> b110(bitIndex0))),
% 15.43/10.64 inference(modus_ponens,[status(thm)],[19381, 19380])).
% 15.43/10.64 tff(19383,plain,
% 15.43/10.64 (v130(constB133, bitIndex0) <=> b110(bitIndex0)),
% 15.43/10.64 inference(unit_resolution,[status(thm)],[19382, 5004, 19348])).
% 15.43/10.64 tff(19384,plain,
% 15.43/10.64 ((~(v130(constB133, bitIndex0) <=> b110(bitIndex0))) | (~v130(constB133, bitIndex0)) | b110(bitIndex0)),
% 15.43/10.64 inference(tautology,[status(thm)],[])).
% 15.43/10.64 tff(19385,plain,
% 15.43/10.64 ((~(v130(constB133, bitIndex0) <=> b110(bitIndex0))) | (~v130(constB133, bitIndex0))),
% 15.43/10.64 inference(unit_resolution,[status(thm)],[19384, 5415])).
% 15.43/10.64 tff(19386,plain,
% 15.43/10.64 (~v130(constB133, bitIndex0)),
% 15.43/10.64 inference(unit_resolution,[status(thm)],[19385, 19383])).
% 15.43/10.64 tff(19387,plain,
% 15.43/10.64 ((~(v127(constB133, bitIndex0) <=> v130(constB133, bitIndex0))) | (~v127(constB133, bitIndex0)) | v130(constB133, bitIndex0)),
% 15.43/10.64 inference(tautology,[status(thm)],[])).
% 15.43/10.64 tff(19388,plain,
% 15.43/10.64 (~v127(constB133, bitIndex0)),
% 15.43/10.64 inference(unit_resolution,[status(thm)],[19387, 19386, 19379])).
% 15.43/10.64 tff(19389,plain,
% 15.43/10.64 ((~(v129(constB134, bitIndex0) <=> v127(constB133, bitIndex0))) | (~v129(constB134, bitIndex0)) | v127(constB133, bitIndex0)),
% 15.43/10.64 inference(tautology,[status(thm)],[])).
% 15.43/10.64 tff(19390,plain,
% 15.43/10.64 (~v129(constB134, bitIndex0)),
% 15.43/10.64 inference(unit_resolution,[status(thm)],[19389, 19388, 19375])).
% 15.43/10.64 tff(19391,plain,
% 15.43/10.64 ((~(v90(constB134, bitIndex0) <=> v129(constB134, bitIndex0))) | (~v90(constB134, bitIndex0)) | v129(constB134, bitIndex0)),
% 15.43/10.64 inference(tautology,[status(thm)],[])).
% 15.43/10.64 tff(19392,plain,
% 15.43/10.64 (~v90(constB134, bitIndex0)),
% 15.43/10.64 inference(unit_resolution,[status(thm)],[19391, 19390, 19371])).
% 15.43/10.64 tff(19393,plain,
% 15.43/10.64 ((~(v90(constB135, bitIndex0) <=> v90(constB134, bitIndex0))) | (~v90(constB135, bitIndex0)) | v90(constB134, bitIndex0)),
% 15.43/10.64 inference(tautology,[status(thm)],[])).
% 15.43/10.64 tff(19394,plain,
% 15.43/10.64 (~v90(constB135, bitIndex0)),
% 15.43/10.64 inference(unit_resolution,[status(thm)],[19393, 19392, 19367])).
% 15.43/10.64 tff(19395,plain,
% 15.43/10.64 (((~![B: $i] : ((~less_3(B)) | (v90(constB135, B) <=> v90(constB134, B)))) | ((~less_3(bitIndex1)) | (v90(constB135, bitIndex1) <=> v90(constB134, bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v90(constB135, B) <=> v90(constB134, B)))) | (~less_3(bitIndex1)) | (v90(constB135, bitIndex1) <=> v90(constB134, bitIndex1)))),
% 15.43/10.64 inference(rewrite,[status(thm)],[])).
% 15.43/10.64 tff(19396,plain,
% 15.43/10.64 ((~![B: $i] : ((~less_3(B)) | (v90(constB135, B) <=> v90(constB134, B)))) | ((~less_3(bitIndex1)) | (v90(constB135, bitIndex1) <=> v90(constB134, bitIndex1)))),
% 15.43/10.64 inference(quant_inst,[status(thm)],[])).
% 15.43/10.64 tff(19397,plain,
% 15.43/10.64 ((~![B: $i] : ((~less_3(B)) | (v90(constB135, B) <=> v90(constB134, B)))) | (~less_3(bitIndex1)) | (v90(constB135, bitIndex1) <=> v90(constB134, bitIndex1))),
% 15.43/10.64 inference(modus_ponens,[status(thm)],[19396, 19395])).
% 15.43/10.64 tff(19398,plain,
% 15.43/10.64 (v90(constB135, bitIndex1) <=> v90(constB134, bitIndex1)),
% 15.43/10.64 inference(unit_resolution,[status(thm)],[19397, 5017, 14293])).
% 15.43/10.64 tff(19399,plain,
% 15.43/10.64 (((~![B: $i] : ((~less_3(B)) | (v90(constB134, B) <=> v129(constB134, B)))) | ((~less_3(bitIndex1)) | (v90(constB134, bitIndex1) <=> v129(constB134, bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v90(constB134, B) <=> v129(constB134, B)))) | (~less_3(bitIndex1)) | (v90(constB134, bitIndex1) <=> v129(constB134, bitIndex1)))),
% 15.43/10.64 inference(rewrite,[status(thm)],[])).
% 15.43/10.64 tff(19400,plain,
% 15.43/10.64 ((~![B: $i] : ((~less_3(B)) | (v90(constB134, B) <=> v129(constB134, B)))) | ((~less_3(bitIndex1)) | (v90(constB134, bitIndex1) <=> v129(constB134, bitIndex1)))),
% 15.43/10.64 inference(quant_inst,[status(thm)],[])).
% 15.43/10.64 tff(19401,plain,
% 15.43/10.64 ((~![B: $i] : ((~less_3(B)) | (v90(constB134, B) <=> v129(constB134, B)))) | (~less_3(bitIndex1)) | (v90(constB134, bitIndex1) <=> v129(constB134, bitIndex1))),
% 15.43/10.64 inference(modus_ponens,[status(thm)],[19400, 19399])).
% 15.43/10.64 tff(19402,plain,
% 15.43/10.64 (v90(constB134, bitIndex1) <=> v129(constB134, bitIndex1)),
% 15.43/10.64 inference(unit_resolution,[status(thm)],[19401, 5017, 19323])).
% 15.43/10.64 tff(19403,plain,
% 15.43/10.64 (((~![B: $i] : ((~less_3(B)) | (v129(constB134, B) <=> v127(constB133, B)))) | ((~less_3(bitIndex1)) | (v129(constB134, bitIndex1) <=> v127(constB133, bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v129(constB134, B) <=> v127(constB133, B)))) | (~less_3(bitIndex1)) | (v129(constB134, bitIndex1) <=> v127(constB133, bitIndex1)))),
% 15.43/10.64 inference(rewrite,[status(thm)],[])).
% 15.43/10.64 tff(19404,plain,
% 15.43/10.64 ((~![B: $i] : ((~less_3(B)) | (v129(constB134, B) <=> v127(constB133, B)))) | ((~less_3(bitIndex1)) | (v129(constB134, bitIndex1) <=> v127(constB133, bitIndex1)))),
% 15.43/10.64 inference(quant_inst,[status(thm)],[])).
% 15.43/10.64 tff(19405,plain,
% 15.43/10.64 ((~![B: $i] : ((~less_3(B)) | (v129(constB134, B) <=> v127(constB133, B)))) | (~less_3(bitIndex1)) | (v129(constB134, bitIndex1) <=> v127(constB133, bitIndex1))),
% 15.43/10.64 inference(modus_ponens,[status(thm)],[19404, 19403])).
% 15.43/10.64 tff(19406,plain,
% 15.43/10.64 (v129(constB134, bitIndex1) <=> v127(constB133, bitIndex1)),
% 15.43/10.64 inference(unit_resolution,[status(thm)],[19405, 5017, 19331])).
% 15.43/10.64 tff(19407,plain,
% 15.43/10.64 (((~![B: $i] : ((~less_3(B)) | (v127(constB133, B) <=> v130(constB133, B)))) | ((~less_3(bitIndex1)) | (v127(constB133, bitIndex1) <=> v130(constB133, bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v127(constB133, B) <=> v130(constB133, B)))) | (~less_3(bitIndex1)) | (v127(constB133, bitIndex1) <=> v130(constB133, bitIndex1)))),
% 15.43/10.64 inference(rewrite,[status(thm)],[])).
% 15.43/10.64 tff(19408,plain,
% 15.43/10.64 ((~![B: $i] : ((~less_3(B)) | (v127(constB133, B) <=> v130(constB133, B)))) | ((~less_3(bitIndex1)) | (v127(constB133, bitIndex1) <=> v130(constB133, bitIndex1)))),
% 15.43/10.64 inference(quant_inst,[status(thm)],[])).
% 15.43/10.64 tff(19409,plain,
% 15.43/10.64 ((~![B: $i] : ((~less_3(B)) | (v127(constB133, B) <=> v130(constB133, B)))) | (~less_3(bitIndex1)) | (v127(constB133, bitIndex1) <=> v130(constB133, bitIndex1))),
% 15.43/10.64 inference(modus_ponens,[status(thm)],[19408, 19407])).
% 15.43/10.64 tff(19410,plain,
% 15.43/10.64 (v127(constB133, bitIndex1) <=> v130(constB133, bitIndex1)),
% 15.43/10.64 inference(unit_resolution,[status(thm)],[19409, 5017, 19339])).
% 15.43/10.64 tff(19411,plain,
% 15.43/10.64 (((~![B: $i] : ((~less_3(B)) | (v130(constB133, B) <=> b110(B)))) | ((~less_3(bitIndex1)) | (v130(constB133, bitIndex1) <=> b110(bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v130(constB133, B) <=> b110(B)))) | (~less_3(bitIndex1)) | (v130(constB133, bitIndex1) <=> b110(bitIndex1)))),
% 15.43/10.64 inference(rewrite,[status(thm)],[])).
% 15.43/10.64 tff(19412,plain,
% 15.43/10.64 ((~![B: $i] : ((~less_3(B)) | (v130(constB133, B) <=> b110(B)))) | ((~less_3(bitIndex1)) | (v130(constB133, bitIndex1) <=> b110(bitIndex1)))),
% 15.43/10.64 inference(quant_inst,[status(thm)],[])).
% 15.43/10.64 tff(19413,plain,
% 15.43/10.64 ((~![B: $i] : ((~less_3(B)) | (v130(constB133, B) <=> b110(B)))) | (~less_3(bitIndex1)) | (v130(constB133, bitIndex1) <=> b110(bitIndex1))),
% 15.43/10.64 inference(modus_ponens,[status(thm)],[19412, 19411])).
% 15.43/10.64 tff(19414,plain,
% 15.43/10.64 (v130(constB133, bitIndex1) <=> b110(bitIndex1)),
% 15.43/10.64 inference(unit_resolution,[status(thm)],[19413, 5017, 19348])).
% 15.43/10.64 tff(19415,plain,
% 15.43/10.64 ((~(v130(constB133, bitIndex1) <=> b110(bitIndex1))) | v130(constB133, bitIndex1) | (~b110(bitIndex1))),
% 15.43/10.64 inference(tautology,[status(thm)],[])).
% 15.43/10.64 tff(19416,plain,
% 15.43/10.64 ((~(v130(constB133, bitIndex1) <=> b110(bitIndex1))) | v130(constB133, bitIndex1)),
% 15.43/10.64 inference(unit_resolution,[status(thm)],[19415, 5449])).
% 15.43/10.64 tff(19417,plain,
% 15.43/10.64 (v130(constB133, bitIndex1)),
% 15.43/10.64 inference(unit_resolution,[status(thm)],[19416, 19414])).
% 15.43/10.64 tff(19418,plain,
% 15.43/10.64 ((~(v127(constB133, bitIndex1) <=> v130(constB133, bitIndex1))) | v127(constB133, bitIndex1) | (~v130(constB133, bitIndex1))),
% 15.43/10.64 inference(tautology,[status(thm)],[])).
% 15.43/10.64 tff(19419,plain,
% 15.43/10.64 (v127(constB133, bitIndex1)),
% 15.43/10.64 inference(unit_resolution,[status(thm)],[19418, 19417, 19410])).
% 15.43/10.64 tff(19420,plain,
% 15.43/10.64 ((~(v129(constB134, bitIndex1) <=> v127(constB133, bitIndex1))) | v129(constB134, bitIndex1) | (~v127(constB133, bitIndex1))),
% 15.43/10.64 inference(tautology,[status(thm)],[])).
% 15.43/10.64 tff(19421,plain,
% 15.43/10.64 (v129(constB134, bitIndex1)),
% 15.43/10.64 inference(unit_resolution,[status(thm)],[19420, 19419, 19406])).
% 15.43/10.64 tff(19422,plain,
% 15.43/10.64 ((~(v90(constB134, bitIndex1) <=> v129(constB134, bitIndex1))) | v90(constB134, bitIndex1) | (~v129(constB134, bitIndex1))),
% 15.43/10.64 inference(tautology,[status(thm)],[])).
% 15.43/10.64 tff(19423,plain,
% 15.43/10.64 (v90(constB134, bitIndex1)),
% 15.43/10.64 inference(unit_resolution,[status(thm)],[19422, 19421, 19402])).
% 15.43/10.64 tff(19424,plain,
% 15.43/10.64 ((~(v90(constB135, bitIndex1) <=> v90(constB134, bitIndex1))) | v90(constB135, bitIndex1) | (~v90(constB134, bitIndex1))),
% 15.43/10.64 inference(tautology,[status(thm)],[])).
% 15.43/10.64 tff(19425,plain,
% 15.43/10.64 (v90(constB135, bitIndex1)),
% 15.43/10.64 inference(unit_resolution,[status(thm)],[19424, 19423, 19398])).
% 15.43/10.64 tff(19426,plain,
% 15.43/10.64 ((~((~v90(constB135, bitIndex2)) | (~v90(constB135, bitIndex1)) | v90(constB135, bitIndex0))) | (~v90(constB135, bitIndex2)) | (~v90(constB135, bitIndex1)) | v90(constB135, bitIndex0)),
% 15.43/10.64 inference(tautology,[status(thm)],[])).
% 15.43/10.64 tff(19427,plain,
% 15.43/10.64 (~((~v90(constB135, bitIndex2)) | (~v90(constB135, bitIndex1)) | v90(constB135, bitIndex0))),
% 15.43/10.64 inference(unit_resolution,[status(thm)],[19426, 19425, 19394, 19363])).
% 15.43/10.64 tff(19428,plain,
% 15.43/10.64 ((~(v125(constB135) <=> (~((~v90(constB135, bitIndex2)) | (~v90(constB135, bitIndex1)) | v90(constB135, bitIndex0))))) | v125(constB135) | ((~v90(constB135, bitIndex2)) | (~v90(constB135, bitIndex1)) | v90(constB135, bitIndex0))),
% 15.43/10.64 inference(tautology,[status(thm)],[])).
% 15.43/10.64 tff(19429,plain,
% 15.43/10.64 (v125(constB135)),
% 15.43/10.64 inference(unit_resolution,[status(thm)],[19428, 19427, 14265])).
% 15.43/10.64 tff(19430,plain,
% 15.43/10.64 ((v114(constB135) | v125(constB135)) | (~v125(constB135))),
% 15.43/10.64 inference(tautology,[status(thm)],[])).
% 15.43/10.64 tff(19431,plain,
% 15.43/10.64 (v114(constB135) | v125(constB135)),
% 15.43/10.64 inference(unit_resolution,[status(thm)],[19430, 19429])).
% 15.43/10.64 tff(19432,plain,
% 15.43/10.64 ((~(v113(constB135) <=> (v114(constB135) | v125(constB135)))) | v113(constB135) | (~(v114(constB135) | v125(constB135)))),
% 15.43/10.64 inference(tautology,[status(thm)],[])).
% 15.43/10.64 tff(19433,plain,
% 15.43/10.64 (v113(constB135)),
% 15.43/10.64 inference(unit_resolution,[status(thm)],[19432, 19431, 14258])).
% 15.43/10.64 tff(19434,plain,
% 15.43/10.64 ((~![VarCurr: $i] : ((~v126(VarCurr)) <=> v111(VarCurr))) | ((~v126(constB135)) <=> v111(constB135))),
% 15.43/10.64 inference(quant_inst,[status(thm)],[])).
% 15.43/10.64 tff(19435,plain,
% 15.43/10.64 ((~v126(constB135)) <=> v111(constB135)),
% 15.43/10.64 inference(unit_resolution,[status(thm)],[19434, 5074])).
% 15.43/10.64 tff(19436,plain,
% 15.43/10.64 ((~![VarCurr: $i] : (v111(VarCurr) <=> v26(VarCurr))) | (v111(constB135) <=> v26(constB135))),
% 15.43/10.64 inference(quant_inst,[status(thm)],[])).
% 15.43/10.64 tff(19437,plain,
% 15.43/10.64 (v111(constB135) <=> v26(constB135)),
% 15.43/10.64 inference(unit_resolution,[status(thm)],[19436, 5086])).
% 15.43/10.64 tff(19438,plain,
% 15.43/10.64 ((~![VarCurr: $i] : (~v26(VarCurr))) | (~v26(constB135))),
% 15.43/10.64 inference(quant_inst,[status(thm)],[])).
% 15.43/10.64 tff(19439,plain,
% 15.43/10.64 (~v26(constB135)),
% 15.43/10.64 inference(unit_resolution,[status(thm)],[19438, 5098])).
% 15.43/10.64 tff(19440,plain,
% 15.43/10.64 ((~(v111(constB135) <=> v26(constB135))) | (~v111(constB135)) | v26(constB135)),
% 15.43/10.64 inference(tautology,[status(thm)],[])).
% 15.43/10.64 tff(19441,plain,
% 15.43/10.64 ((~(v111(constB135) <=> v26(constB135))) | (~v111(constB135))),
% 15.43/10.64 inference(unit_resolution,[status(thm)],[19440, 19439])).
% 15.43/10.64 tff(19442,plain,
% 15.43/10.64 (~v111(constB135)),
% 15.43/10.64 inference(unit_resolution,[status(thm)],[19441, 19437])).
% 15.43/10.64 tff(19443,plain,
% 15.43/10.64 ((~((~v126(constB135)) <=> v111(constB135))) | v126(constB135) | v111(constB135)),
% 15.43/10.64 inference(tautology,[status(thm)],[])).
% 15.43/10.64 tff(19444,plain,
% 15.43/10.64 ((~((~v126(constB135)) <=> v111(constB135))) | v126(constB135)),
% 15.43/10.64 inference(unit_resolution,[status(thm)],[19443, 19442])).
% 15.43/10.64 tff(19445,plain,
% 15.43/10.64 (v126(constB135)),
% 15.43/10.64 inference(unit_resolution,[status(thm)],[19444, 19435])).
% 15.43/10.64 tff(19446,plain,
% 15.43/10.64 ((~((~v113(constB135)) | (~v126(constB135)))) | (~v113(constB135)) | (~v126(constB135))),
% 15.43/10.64 inference(tautology,[status(thm)],[])).
% 15.43/10.64 tff(19447,plain,
% 15.43/10.64 ((~((~v113(constB135)) | (~v126(constB135)))) | (~v113(constB135))),
% 15.43/10.64 inference(unit_resolution,[status(thm)],[19446, 19445])).
% 15.43/10.64 tff(19448,plain,
% 15.43/10.64 (~((~v113(constB135)) | (~v126(constB135)))),
% 15.43/10.64 inference(unit_resolution,[status(thm)],[19447, 19433])).
% 15.43/10.64 tff(19449,plain,
% 15.43/10.64 ((~(v112(constB135) <=> (~((~v113(constB135)) | (~v126(constB135)))))) | v112(constB135) | ((~v113(constB135)) | (~v126(constB135)))),
% 15.43/10.64 inference(tautology,[status(thm)],[])).
% 15.43/10.64 tff(19450,plain,
% 15.43/10.64 (v112(constB135)),
% 15.43/10.64 inference(unit_resolution,[status(thm)],[19449, 19448, 14256])).
% 15.43/10.64 tff(19451,plain,
% 15.43/10.64 ((v111(constB135) | v112(constB135)) | (~v112(constB135))),
% 15.43/10.64 inference(tautology,[status(thm)],[])).
% 15.43/10.64 tff(19452,plain,
% 15.43/10.64 (v111(constB135) | v112(constB135)),
% 15.43/10.64 inference(unit_resolution,[status(thm)],[19451, 19450])).
% 15.43/10.64 tff(19453,plain,
% 15.43/10.64 ((~(v108(constB135) <=> (v111(constB135) | v112(constB135)))) | v108(constB135) | (~(v111(constB135) | v112(constB135)))),
% 15.43/10.64 inference(tautology,[status(thm)],[])).
% 15.43/10.64 tff(19454,plain,
% 15.43/10.64 (v108(constB135)),
% 15.43/10.64 inference(unit_resolution,[status(thm)],[19453, 19452, 14254])).
% 15.43/10.64 tff(19455,plain,
% 15.43/10.64 ((~(v110(constB136) <=> v108(constB135))) | v110(constB136) | (~v108(constB135))),
% 15.43/10.64 inference(tautology,[status(thm)],[])).
% 15.43/10.64 tff(19456,plain,
% 15.43/10.64 (v110(constB136)),
% 15.43/10.64 inference(unit_resolution,[status(thm)],[19455, 19454, 14252])).
% 15.43/10.64 tff(19457,plain,
% 15.43/10.64 ((~((~v101(constB136)) | (~v110(constB136)))) | (~v101(constB136)) | (~v110(constB136))),
% 15.43/10.64 inference(tautology,[status(thm)],[])).
% 15.43/10.64 tff(19458,plain,
% 15.43/10.64 (~((~v101(constB136)) | (~v110(constB136)))),
% 15.43/10.64 inference(unit_resolution,[status(thm)],[19457, 19456, 14248])).
% 15.43/10.64 tff(19459,plain,
% 15.43/10.64 ((~(v100(constB136) <=> (~((~v101(constB136)) | (~v110(constB136)))))) | v100(constB136) | ((~v101(constB136)) | (~v110(constB136)))),
% 15.43/10.64 inference(tautology,[status(thm)],[])).
% 15.43/10.64 tff(19460,plain,
% 15.43/10.64 (v100(constB136)),
% 15.43/10.64 inference(unit_resolution,[status(thm)],[19459, 19458, 14217])).
% 15.43/10.64 tff(19461,plain,
% 15.43/10.64 (((~![VarNext: $i] : ((~v100(VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v129(VarNext, B))))) | ((~v100(constB136)) | ![B: $i] : ((~less_3(B)) | (v90(constB136, B) <=> v129(constB136, B))))) <=> ((~![VarNext: $i] : ((~v100(VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v129(VarNext, B))))) | (~v100(constB136)) | ![B: $i] : ((~less_3(B)) | (v90(constB136, B) <=> v129(constB136, B))))),
% 15.43/10.64 inference(rewrite,[status(thm)],[])).
% 15.43/10.64 tff(19462,plain,
% 15.43/10.64 ((~![VarNext: $i] : ((~v100(VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v129(VarNext, B))))) | ((~v100(constB136)) | ![B: $i] : ((~less_3(B)) | (v90(constB136, B) <=> v129(constB136, B))))),
% 15.43/10.64 inference(quant_inst,[status(thm)],[])).
% 15.43/10.64 tff(19463,plain,
% 15.43/10.64 ((~![VarNext: $i] : ((~v100(VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v129(VarNext, B))))) | (~v100(constB136)) | ![B: $i] : ((~less_3(B)) | (v90(constB136, B) <=> v129(constB136, B)))),
% 15.43/10.64 inference(modus_ponens,[status(thm)],[19462, 19461])).
% 15.43/10.64 tff(19464,plain,
% 15.43/10.64 ((~v100(constB136)) | ![B: $i] : ((~less_3(B)) | (v90(constB136, B) <=> v129(constB136, B)))),
% 15.43/10.64 inference(unit_resolution,[status(thm)],[19463, 5134])).
% 15.43/10.64 tff(19465,plain,
% 15.43/10.64 (![B: $i] : ((~less_3(B)) | (v90(constB136, B) <=> v129(constB136, B)))),
% 15.43/10.64 inference(unit_resolution,[status(thm)],[19464, 19460])).
% 15.43/10.64 tff(19466,plain,
% 15.43/10.64 (((~![B: $i] : ((~less_3(B)) | (v90(constB136, B) <=> v129(constB136, B)))) | ((~less_3(bitIndex2)) | (v90(constB136, bitIndex2) <=> v129(constB136, bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v90(constB136, B) <=> v129(constB136, B)))) | (~less_3(bitIndex2)) | (v90(constB136, bitIndex2) <=> v129(constB136, bitIndex2)))),
% 15.43/10.64 inference(rewrite,[status(thm)],[])).
% 15.43/10.64 tff(19467,plain,
% 15.43/10.64 ((~![B: $i] : ((~less_3(B)) | (v90(constB136, B) <=> v129(constB136, B)))) | ((~less_3(bitIndex2)) | (v90(constB136, bitIndex2) <=> v129(constB136, bitIndex2)))),
% 15.43/10.64 inference(quant_inst,[status(thm)],[])).
% 15.43/10.64 tff(19468,plain,
% 15.43/10.64 ((~![B: $i] : ((~less_3(B)) | (v90(constB136, B) <=> v129(constB136, B)))) | (~less_3(bitIndex2)) | (v90(constB136, bitIndex2) <=> v129(constB136, bitIndex2))),
% 15.43/10.64 inference(modus_ponens,[status(thm)],[19467, 19466])).
% 15.43/10.64 tff(19469,plain,
% 15.43/10.64 (v90(constB136, bitIndex2) <=> v129(constB136, bitIndex2)),
% 15.43/10.64 inference(unit_resolution,[status(thm)],[19468, 413, 19465])).
% 15.43/10.64 tff(19470,plain,
% 15.43/10.64 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v129(VarNext, B) <=> v127(VarCurr, B))))) | ((~nextState(constB135, constB136)) | ![B: $i] : ((~less_3(B)) | (v129(constB136, B) <=> v127(constB135, B))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v129(VarNext, B) <=> v127(VarCurr, B))))) | (~nextState(constB135, constB136)) | ![B: $i] : ((~less_3(B)) | (v129(constB136, B) <=> v127(constB135, B))))),
% 15.43/10.64 inference(rewrite,[status(thm)],[])).
% 15.43/10.64 tff(19471,plain,
% 15.43/10.64 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v129(VarNext, B) <=> v127(VarCurr, B))))) | ((~nextState(constB135, constB136)) | ![B: $i] : ((~less_3(B)) | (v129(constB136, B) <=> v127(constB135, B))))),
% 15.43/10.64 inference(quant_inst,[status(thm)],[])).
% 15.43/10.64 tff(19472,plain,
% 15.43/10.64 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v129(VarNext, B) <=> v127(VarCurr, B))))) | (~nextState(constB135, constB136)) | ![B: $i] : ((~less_3(B)) | (v129(constB136, B) <=> v127(constB135, B)))),
% 15.43/10.64 inference(modus_ponens,[status(thm)],[19471, 19470])).
% 15.43/10.64 tff(19473,plain,
% 15.43/10.64 (![B: $i] : ((~less_3(B)) | (v129(constB136, B) <=> v127(constB135, B)))),
% 15.43/10.64 inference(unit_resolution,[status(thm)],[19472, 14213, 5156])).
% 15.43/10.64 tff(19474,plain,
% 15.43/10.64 (((~![B: $i] : ((~less_3(B)) | (v129(constB136, B) <=> v127(constB135, B)))) | ((~less_3(bitIndex2)) | (v129(constB136, bitIndex2) <=> v127(constB135, bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v129(constB136, B) <=> v127(constB135, B)))) | (~less_3(bitIndex2)) | (v129(constB136, bitIndex2) <=> v127(constB135, bitIndex2)))),
% 15.43/10.64 inference(rewrite,[status(thm)],[])).
% 15.43/10.64 tff(19475,plain,
% 15.43/10.64 ((~![B: $i] : ((~less_3(B)) | (v129(constB136, B) <=> v127(constB135, B)))) | ((~less_3(bitIndex2)) | (v129(constB136, bitIndex2) <=> v127(constB135, bitIndex2)))),
% 15.43/10.64 inference(quant_inst,[status(thm)],[])).
% 15.43/10.64 tff(19476,plain,
% 15.43/10.64 ((~![B: $i] : ((~less_3(B)) | (v129(constB136, B) <=> v127(constB135, B)))) | (~less_3(bitIndex2)) | (v129(constB136, bitIndex2) <=> v127(constB135, bitIndex2))),
% 15.43/10.64 inference(modus_ponens,[status(thm)],[19475, 19474])).
% 15.43/10.64 tff(19477,plain,
% 15.43/10.64 (v129(constB136, bitIndex2) <=> v127(constB135, bitIndex2)),
% 15.43/10.64 inference(unit_resolution,[status(thm)],[19476, 413, 19473])).
% 15.43/10.64 tff(19478,plain,
% 15.43/10.64 (((~![VarCurr: $i] : (v111(VarCurr) | ![B: $i] : ((~less_3(B)) | (v127(VarCurr, B) <=> v130(VarCurr, B))))) | (v111(constB135) | ![B: $i] : ((~less_3(B)) | (v127(constB135, B) <=> v130(constB135, B))))) <=> ((~![VarCurr: $i] : (v111(VarCurr) | ![B: $i] : ((~less_3(B)) | (v127(VarCurr, B) <=> v130(VarCurr, B))))) | v111(constB135) | ![B: $i] : ((~less_3(B)) | (v127(constB135, B) <=> v130(constB135, B))))),
% 15.43/10.64 inference(rewrite,[status(thm)],[])).
% 15.43/10.64 tff(19479,plain,
% 15.43/10.64 ((~![VarCurr: $i] : (v111(VarCurr) | ![B: $i] : ((~less_3(B)) | (v127(VarCurr, B) <=> v130(VarCurr, B))))) | (v111(constB135) | ![B: $i] : ((~less_3(B)) | (v127(constB135, B) <=> v130(constB135, B))))),
% 15.43/10.64 inference(quant_inst,[status(thm)],[])).
% 15.43/10.64 tff(19480,plain,
% 15.43/10.64 ((~![VarCurr: $i] : (v111(VarCurr) | ![B: $i] : ((~less_3(B)) | (v127(VarCurr, B) <=> v130(VarCurr, B))))) | v111(constB135) | ![B: $i] : ((~less_3(B)) | (v127(constB135, B) <=> v130(constB135, B)))),
% 15.43/10.64 inference(modus_ponens,[status(thm)],[19479, 19478])).
% 15.43/10.64 tff(19481,plain,
% 15.43/10.64 (![B: $i] : ((~less_3(B)) | (v127(constB135, B) <=> v130(constB135, B)))),
% 15.43/10.64 inference(unit_resolution,[status(thm)],[19480, 5177, 19442])).
% 15.43/10.64 tff(19482,plain,
% 15.43/10.64 (((~![B: $i] : ((~less_3(B)) | (v127(constB135, B) <=> v130(constB135, B)))) | ((~less_3(bitIndex2)) | (v127(constB135, bitIndex2) <=> v130(constB135, bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v127(constB135, B) <=> v130(constB135, B)))) | (~less_3(bitIndex2)) | (v127(constB135, bitIndex2) <=> v130(constB135, bitIndex2)))),
% 15.43/10.64 inference(rewrite,[status(thm)],[])).
% 15.43/10.64 tff(19483,plain,
% 15.43/10.64 ((~![B: $i] : ((~less_3(B)) | (v127(constB135, B) <=> v130(constB135, B)))) | ((~less_3(bitIndex2)) | (v127(constB135, bitIndex2) <=> v130(constB135, bitIndex2)))),
% 15.43/10.64 inference(quant_inst,[status(thm)],[])).
% 15.43/10.64 tff(19484,plain,
% 15.43/10.64 ((~![B: $i] : ((~less_3(B)) | (v127(constB135, B) <=> v130(constB135, B)))) | (~less_3(bitIndex2)) | (v127(constB135, bitIndex2) <=> v130(constB135, bitIndex2))),
% 15.43/10.64 inference(modus_ponens,[status(thm)],[19483, 19482])).
% 15.43/10.64 tff(19485,plain,
% 15.43/10.64 (v127(constB135, bitIndex2) <=> v130(constB135, bitIndex2)),
% 15.43/10.64 inference(unit_resolution,[status(thm)],[19484, 413, 19481])).
% 15.43/10.64 tff(19486,plain,
% 15.43/10.64 ((~![VarCurr: $i] : (v119(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))))) | (v119(constB135) <=> (~(v90(constB135, bitIndex0) | v90(constB135, bitIndex1) | v90(constB135, bitIndex2))))),
% 15.43/10.64 inference(quant_inst,[status(thm)],[])).
% 15.43/10.64 tff(19487,plain,
% 15.43/10.64 (v119(constB135) <=> (~(v90(constB135, bitIndex0) | v90(constB135, bitIndex1) | v90(constB135, bitIndex2)))),
% 15.43/10.64 inference(unit_resolution,[status(thm)],[19486, 4971])).
% 15.43/10.64 tff(19488,plain,
% 15.43/10.64 ((v90(constB135, bitIndex0) | v90(constB135, bitIndex1) | v90(constB135, bitIndex2)) | (~v90(constB135, bitIndex2))),
% 15.43/10.64 inference(tautology,[status(thm)],[])).
% 15.43/10.64 tff(19489,plain,
% 15.43/10.64 (v90(constB135, bitIndex0) | v90(constB135, bitIndex1) | v90(constB135, bitIndex2)),
% 15.43/10.64 inference(unit_resolution,[status(thm)],[19488, 19363])).
% 15.43/10.64 tff(19490,plain,
% 15.43/10.64 ((~(v119(constB135) <=> (~(v90(constB135, bitIndex0) | v90(constB135, bitIndex1) | v90(constB135, bitIndex2))))) | (~v119(constB135)) | (~(v90(constB135, bitIndex0) | v90(constB135, bitIndex1) | v90(constB135, bitIndex2)))),
% 15.43/10.64 inference(tautology,[status(thm)],[])).
% 15.43/10.64 tff(19491,plain,
% 15.43/10.64 (~v119(constB135)),
% 15.43/10.64 inference(unit_resolution,[status(thm)],[19490, 19489, 19487])).
% 15.43/10.64 tff(19492,plain,
% 15.43/10.64 (((~![VarCurr: $i] : (v124(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex2)))))) | (v124(constB135) <=> (~((~v90(constB135, bitIndex2)) | v90(constB135, bitIndex1) | (~v90(constB135, bitIndex0)))))) <=> ((~![VarCurr: $i] : (v124(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex2)))))) | (v124(constB135) <=> (~((~v90(constB135, bitIndex2)) | v90(constB135, bitIndex1) | (~v90(constB135, bitIndex0))))))),
% 15.43/10.64 inference(rewrite,[status(thm)],[])).
% 15.43/10.64 tff(19493,plain,
% 15.43/10.64 ((v124(constB135) <=> (~(v90(constB135, bitIndex1) | (~v90(constB135, bitIndex0)) | (~v90(constB135, bitIndex2))))) <=> (v124(constB135) <=> (~((~v90(constB135, bitIndex2)) | v90(constB135, bitIndex1) | (~v90(constB135, bitIndex0)))))),
% 15.43/10.64 inference(rewrite,[status(thm)],[])).
% 15.43/10.64 tff(19494,plain,
% 15.43/10.64 (((~![VarCurr: $i] : (v124(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex2)))))) | (v124(constB135) <=> (~(v90(constB135, bitIndex1) | (~v90(constB135, bitIndex0)) | (~v90(constB135, bitIndex2)))))) <=> ((~![VarCurr: $i] : (v124(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex2)))))) | (v124(constB135) <=> (~((~v90(constB135, bitIndex2)) | v90(constB135, bitIndex1) | (~v90(constB135, bitIndex0))))))),
% 15.43/10.64 inference(monotonicity,[status(thm)],[19493])).
% 15.43/10.64 tff(19495,plain,
% 15.43/10.64 (((~![VarCurr: $i] : (v124(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex2)))))) | (v124(constB135) <=> (~(v90(constB135, bitIndex1) | (~v90(constB135, bitIndex0)) | (~v90(constB135, bitIndex2)))))) <=> ((~![VarCurr: $i] : (v124(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex2)))))) | (v124(constB135) <=> (~((~v90(constB135, bitIndex2)) | v90(constB135, bitIndex1) | (~v90(constB135, bitIndex0))))))),
% 15.43/10.65 inference(transitivity,[status(thm)],[19494, 19492])).
% 15.43/10.65 tff(19496,plain,
% 15.43/10.65 ((~![VarCurr: $i] : (v124(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex2)))))) | (v124(constB135) <=> (~(v90(constB135, bitIndex1) | (~v90(constB135, bitIndex0)) | (~v90(constB135, bitIndex2)))))),
% 15.43/10.65 inference(quant_inst,[status(thm)],[])).
% 15.43/10.65 tff(19497,plain,
% 15.43/10.65 ((~![VarCurr: $i] : (v124(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex2)))))) | (v124(constB135) <=> (~((~v90(constB135, bitIndex2)) | v90(constB135, bitIndex1) | (~v90(constB135, bitIndex0)))))),
% 15.43/10.65 inference(modus_ponens,[status(thm)],[19496, 19495])).
% 15.43/10.65 tff(19498,plain,
% 15.43/10.65 (v124(constB135) <=> (~((~v90(constB135, bitIndex2)) | v90(constB135, bitIndex1) | (~v90(constB135, bitIndex0))))),
% 15.43/10.65 inference(unit_resolution,[status(thm)],[19497, 5539])).
% 15.43/10.65 tff(19499,plain,
% 15.43/10.65 (((~v90(constB135, bitIndex2)) | v90(constB135, bitIndex1) | (~v90(constB135, bitIndex0))) | (~v90(constB135, bitIndex1))),
% 15.43/10.65 inference(tautology,[status(thm)],[])).
% 15.43/10.65 tff(19500,plain,
% 15.43/10.65 ((~v90(constB135, bitIndex2)) | v90(constB135, bitIndex1) | (~v90(constB135, bitIndex0))),
% 15.43/10.65 inference(unit_resolution,[status(thm)],[19499, 19425])).
% 15.43/10.65 tff(19501,plain,
% 15.43/10.65 ((~(v124(constB135) <=> (~((~v90(constB135, bitIndex2)) | v90(constB135, bitIndex1) | (~v90(constB135, bitIndex0)))))) | (~v124(constB135)) | (~((~v90(constB135, bitIndex2)) | v90(constB135, bitIndex1) | (~v90(constB135, bitIndex0))))),
% 15.43/10.65 inference(tautology,[status(thm)],[])).
% 15.43/10.65 tff(19502,plain,
% 15.43/10.65 (~v124(constB135)),
% 15.43/10.65 inference(unit_resolution,[status(thm)],[19501, 19500, 19498])).
% 15.43/10.65 tff(19503,plain,
% 15.43/10.65 (((~![VarCurr: $i] : (v123(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)))))) | (v123(constB135) <=> (~((~v90(constB135, bitIndex2)) | v90(constB135, bitIndex1) | v90(constB135, bitIndex0))))) <=> ((~![VarCurr: $i] : (v123(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)))))) | (v123(constB135) <=> (~((~v90(constB135, bitIndex2)) | v90(constB135, bitIndex1) | v90(constB135, bitIndex0)))))),
% 15.43/10.65 inference(rewrite,[status(thm)],[])).
% 15.43/10.65 tff(19504,plain,
% 15.43/10.65 ((v123(constB135) <=> (~(v90(constB135, bitIndex0) | v90(constB135, bitIndex1) | (~v90(constB135, bitIndex2))))) <=> (v123(constB135) <=> (~((~v90(constB135, bitIndex2)) | v90(constB135, bitIndex1) | v90(constB135, bitIndex0))))),
% 15.43/10.65 inference(rewrite,[status(thm)],[])).
% 15.43/10.65 tff(19505,plain,
% 15.43/10.65 (((~![VarCurr: $i] : (v123(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)))))) | (v123(constB135) <=> (~(v90(constB135, bitIndex0) | v90(constB135, bitIndex1) | (~v90(constB135, bitIndex2)))))) <=> ((~![VarCurr: $i] : (v123(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)))))) | (v123(constB135) <=> (~((~v90(constB135, bitIndex2)) | v90(constB135, bitIndex1) | v90(constB135, bitIndex0)))))),
% 15.43/10.65 inference(monotonicity,[status(thm)],[19504])).
% 15.43/10.65 tff(19506,plain,
% 15.43/10.65 (((~![VarCurr: $i] : (v123(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)))))) | (v123(constB135) <=> (~(v90(constB135, bitIndex0) | v90(constB135, bitIndex1) | (~v90(constB135, bitIndex2)))))) <=> ((~![VarCurr: $i] : (v123(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)))))) | (v123(constB135) <=> (~((~v90(constB135, bitIndex2)) | v90(constB135, bitIndex1) | v90(constB135, bitIndex0)))))),
% 15.43/10.65 inference(transitivity,[status(thm)],[19505, 19503])).
% 15.43/10.65 tff(19507,plain,
% 15.43/10.65 ((~![VarCurr: $i] : (v123(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)))))) | (v123(constB135) <=> (~(v90(constB135, bitIndex0) | v90(constB135, bitIndex1) | (~v90(constB135, bitIndex2)))))),
% 15.43/10.65 inference(quant_inst,[status(thm)],[])).
% 15.43/10.65 tff(19508,plain,
% 15.43/10.65 ((~![VarCurr: $i] : (v123(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)))))) | (v123(constB135) <=> (~((~v90(constB135, bitIndex2)) | v90(constB135, bitIndex1) | v90(constB135, bitIndex0))))),
% 15.43/10.65 inference(modus_ponens,[status(thm)],[19507, 19506])).
% 15.43/10.65 tff(19509,plain,
% 15.43/10.65 (v123(constB135) <=> (~((~v90(constB135, bitIndex2)) | v90(constB135, bitIndex1) | v90(constB135, bitIndex0)))),
% 15.43/10.65 inference(unit_resolution,[status(thm)],[19508, 621])).
% 15.43/10.65 tff(19510,plain,
% 15.43/10.65 (((~v90(constB135, bitIndex2)) | v90(constB135, bitIndex1) | v90(constB135, bitIndex0)) | (~v90(constB135, bitIndex1))),
% 15.43/10.65 inference(tautology,[status(thm)],[])).
% 15.43/10.65 tff(19511,plain,
% 15.43/10.65 ((~v90(constB135, bitIndex2)) | v90(constB135, bitIndex1) | v90(constB135, bitIndex0)),
% 15.43/10.65 inference(unit_resolution,[status(thm)],[19510, 19425])).
% 15.43/10.65 tff(19512,plain,
% 15.43/10.65 ((~(v123(constB135) <=> (~((~v90(constB135, bitIndex2)) | v90(constB135, bitIndex1) | v90(constB135, bitIndex0))))) | (~v123(constB135)) | (~((~v90(constB135, bitIndex2)) | v90(constB135, bitIndex1) | v90(constB135, bitIndex0)))),
% 15.43/10.65 inference(tautology,[status(thm)],[])).
% 15.43/10.65 tff(19513,plain,
% 15.43/10.65 (~v123(constB135)),
% 15.43/10.65 inference(unit_resolution,[status(thm)],[19512, 19511, 19509])).
% 15.43/10.65 tff(19514,plain,
% 15.43/10.65 (((~![VarCurr: $i] : (v122(VarCurr) <=> (~(v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)))))) | (v122(constB135) <=> (~(v90(constB135, bitIndex2) | (~v90(constB135, bitIndex1)) | (~v90(constB135, bitIndex0)))))) <=> ((~![VarCurr: $i] : (v122(VarCurr) <=> (~(v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)))))) | (v122(constB135) <=> (~(v90(constB135, bitIndex2) | (~v90(constB135, bitIndex1)) | (~v90(constB135, bitIndex0))))))),
% 15.43/10.65 inference(rewrite,[status(thm)],[])).
% 15.43/10.65 tff(19515,plain,
% 15.43/10.65 ((v122(constB135) <=> (~(v90(constB135, bitIndex2) | (~v90(constB135, bitIndex0)) | (~v90(constB135, bitIndex1))))) <=> (v122(constB135) <=> (~(v90(constB135, bitIndex2) | (~v90(constB135, bitIndex1)) | (~v90(constB135, bitIndex0)))))),
% 15.43/10.65 inference(rewrite,[status(thm)],[])).
% 15.43/10.65 tff(19516,plain,
% 15.43/10.65 (((~![VarCurr: $i] : (v122(VarCurr) <=> (~(v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)))))) | (v122(constB135) <=> (~(v90(constB135, bitIndex2) | (~v90(constB135, bitIndex0)) | (~v90(constB135, bitIndex1)))))) <=> ((~![VarCurr: $i] : (v122(VarCurr) <=> (~(v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)))))) | (v122(constB135) <=> (~(v90(constB135, bitIndex2) | (~v90(constB135, bitIndex1)) | (~v90(constB135, bitIndex0))))))),
% 15.43/10.65 inference(monotonicity,[status(thm)],[19515])).
% 15.43/10.65 tff(19517,plain,
% 15.43/10.65 (((~![VarCurr: $i] : (v122(VarCurr) <=> (~(v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)))))) | (v122(constB135) <=> (~(v90(constB135, bitIndex2) | (~v90(constB135, bitIndex0)) | (~v90(constB135, bitIndex1)))))) <=> ((~![VarCurr: $i] : (v122(VarCurr) <=> (~(v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)))))) | (v122(constB135) <=> (~(v90(constB135, bitIndex2) | (~v90(constB135, bitIndex1)) | (~v90(constB135, bitIndex0))))))),
% 15.43/10.65 inference(transitivity,[status(thm)],[19516, 19514])).
% 15.43/10.65 tff(19518,plain,
% 15.43/10.65 ((~![VarCurr: $i] : (v122(VarCurr) <=> (~(v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)))))) | (v122(constB135) <=> (~(v90(constB135, bitIndex2) | (~v90(constB135, bitIndex0)) | (~v90(constB135, bitIndex1)))))),
% 15.43/10.65 inference(quant_inst,[status(thm)],[])).
% 15.43/10.65 tff(19519,plain,
% 15.43/10.65 ((~![VarCurr: $i] : (v122(VarCurr) <=> (~(v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)))))) | (v122(constB135) <=> (~(v90(constB135, bitIndex2) | (~v90(constB135, bitIndex1)) | (~v90(constB135, bitIndex0)))))),
% 15.43/10.65 inference(modus_ponens,[status(thm)],[19518, 19517])).
% 15.43/10.65 tff(19520,plain,
% 15.43/10.65 (v122(constB135) <=> (~(v90(constB135, bitIndex2) | (~v90(constB135, bitIndex1)) | (~v90(constB135, bitIndex0))))),
% 15.43/10.65 inference(unit_resolution,[status(thm)],[19519, 734])).
% 15.43/10.65 tff(19521,plain,
% 15.43/10.65 ((v90(constB135, bitIndex2) | (~v90(constB135, bitIndex1)) | (~v90(constB135, bitIndex0))) | (~v90(constB135, bitIndex2))),
% 15.43/10.65 inference(tautology,[status(thm)],[])).
% 15.43/10.65 tff(19522,plain,
% 15.43/10.65 (v90(constB135, bitIndex2) | (~v90(constB135, bitIndex1)) | (~v90(constB135, bitIndex0))),
% 15.43/10.65 inference(unit_resolution,[status(thm)],[19521, 19363])).
% 15.43/10.65 tff(19523,plain,
% 15.43/10.65 ((~(v122(constB135) <=> (~(v90(constB135, bitIndex2) | (~v90(constB135, bitIndex1)) | (~v90(constB135, bitIndex0)))))) | (~v122(constB135)) | (~(v90(constB135, bitIndex2) | (~v90(constB135, bitIndex1)) | (~v90(constB135, bitIndex0))))),
% 15.43/10.65 inference(tautology,[status(thm)],[])).
% 15.43/10.65 tff(19524,plain,
% 15.43/10.65 (~v122(constB135)),
% 15.43/10.65 inference(unit_resolution,[status(thm)],[19523, 19522, 19520])).
% 15.43/10.65 tff(19525,plain,
% 15.43/10.65 (((~![VarCurr: $i] : (v121(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex1)))))) | (v121(constB135) <=> (~(v90(constB135, bitIndex2) | (~v90(constB135, bitIndex1)) | v90(constB135, bitIndex0))))) <=> ((~![VarCurr: $i] : (v121(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex1)))))) | (v121(constB135) <=> (~(v90(constB135, bitIndex2) | (~v90(constB135, bitIndex1)) | v90(constB135, bitIndex0)))))),
% 15.43/10.65 inference(rewrite,[status(thm)],[])).
% 15.43/10.65 tff(19526,plain,
% 15.43/10.65 ((v121(constB135) <=> (~(v90(constB135, bitIndex0) | v90(constB135, bitIndex2) | (~v90(constB135, bitIndex1))))) <=> (v121(constB135) <=> (~(v90(constB135, bitIndex2) | (~v90(constB135, bitIndex1)) | v90(constB135, bitIndex0))))),
% 15.43/10.65 inference(rewrite,[status(thm)],[])).
% 15.43/10.65 tff(19527,plain,
% 15.43/10.65 (((~![VarCurr: $i] : (v121(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex1)))))) | (v121(constB135) <=> (~(v90(constB135, bitIndex0) | v90(constB135, bitIndex2) | (~v90(constB135, bitIndex1)))))) <=> ((~![VarCurr: $i] : (v121(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex1)))))) | (v121(constB135) <=> (~(v90(constB135, bitIndex2) | (~v90(constB135, bitIndex1)) | v90(constB135, bitIndex0)))))),
% 15.43/10.65 inference(monotonicity,[status(thm)],[19526])).
% 15.43/10.65 tff(19528,plain,
% 15.43/10.65 (((~![VarCurr: $i] : (v121(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex1)))))) | (v121(constB135) <=> (~(v90(constB135, bitIndex0) | v90(constB135, bitIndex2) | (~v90(constB135, bitIndex1)))))) <=> ((~![VarCurr: $i] : (v121(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex1)))))) | (v121(constB135) <=> (~(v90(constB135, bitIndex2) | (~v90(constB135, bitIndex1)) | v90(constB135, bitIndex0)))))),
% 15.43/10.65 inference(transitivity,[status(thm)],[19527, 19525])).
% 15.43/10.65 tff(19529,plain,
% 15.43/10.65 ((~![VarCurr: $i] : (v121(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex1)))))) | (v121(constB135) <=> (~(v90(constB135, bitIndex0) | v90(constB135, bitIndex2) | (~v90(constB135, bitIndex1)))))),
% 15.43/10.65 inference(quant_inst,[status(thm)],[])).
% 15.43/10.65 tff(19530,plain,
% 15.43/10.65 ((~![VarCurr: $i] : (v121(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex1)))))) | (v121(constB135) <=> (~(v90(constB135, bitIndex2) | (~v90(constB135, bitIndex1)) | v90(constB135, bitIndex0))))),
% 15.43/10.65 inference(modus_ponens,[status(thm)],[19529, 19528])).
% 15.43/10.65 tff(19531,plain,
% 15.43/10.65 (v121(constB135) <=> (~(v90(constB135, bitIndex2) | (~v90(constB135, bitIndex1)) | v90(constB135, bitIndex0)))),
% 15.43/10.65 inference(unit_resolution,[status(thm)],[19530, 849])).
% 15.43/10.65 tff(19532,plain,
% 15.43/10.65 ((v90(constB135, bitIndex2) | (~v90(constB135, bitIndex1)) | v90(constB135, bitIndex0)) | (~v90(constB135, bitIndex2))),
% 15.43/10.65 inference(tautology,[status(thm)],[])).
% 15.43/10.65 tff(19533,plain,
% 15.43/10.65 (v90(constB135, bitIndex2) | (~v90(constB135, bitIndex1)) | v90(constB135, bitIndex0)),
% 15.43/10.65 inference(unit_resolution,[status(thm)],[19532, 19363])).
% 15.43/10.65 tff(19534,plain,
% 15.43/10.65 ((~(v121(constB135) <=> (~(v90(constB135, bitIndex2) | (~v90(constB135, bitIndex1)) | v90(constB135, bitIndex0))))) | (~v121(constB135)) | (~(v90(constB135, bitIndex2) | (~v90(constB135, bitIndex1)) | v90(constB135, bitIndex0)))),
% 15.43/10.65 inference(tautology,[status(thm)],[])).
% 15.43/10.65 tff(19535,plain,
% 15.43/10.65 (~v121(constB135)),
% 15.43/10.65 inference(unit_resolution,[status(thm)],[19534, 19533, 19531])).
% 15.43/10.65 tff(19536,plain,
% 15.43/10.65 (((~![VarCurr: $i] : (v120(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)))))) | (v120(constB135) <=> (~(v90(constB135, bitIndex2) | v90(constB135, bitIndex1) | (~v90(constB135, bitIndex0)))))) <=> ((~![VarCurr: $i] : (v120(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)))))) | (v120(constB135) <=> (~(v90(constB135, bitIndex2) | v90(constB135, bitIndex1) | (~v90(constB135, bitIndex0))))))),
% 15.43/10.65 inference(rewrite,[status(thm)],[])).
% 15.43/10.65 tff(19537,plain,
% 15.43/10.65 ((v120(constB135) <=> (~(v90(constB135, bitIndex1) | v90(constB135, bitIndex2) | (~v90(constB135, bitIndex0))))) <=> (v120(constB135) <=> (~(v90(constB135, bitIndex2) | v90(constB135, bitIndex1) | (~v90(constB135, bitIndex0)))))),
% 15.43/10.65 inference(rewrite,[status(thm)],[])).
% 15.43/10.65 tff(19538,plain,
% 15.43/10.65 (((~![VarCurr: $i] : (v120(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)))))) | (v120(constB135) <=> (~(v90(constB135, bitIndex1) | v90(constB135, bitIndex2) | (~v90(constB135, bitIndex0)))))) <=> ((~![VarCurr: $i] : (v120(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)))))) | (v120(constB135) <=> (~(v90(constB135, bitIndex2) | v90(constB135, bitIndex1) | (~v90(constB135, bitIndex0))))))),
% 15.43/10.65 inference(monotonicity,[status(thm)],[19537])).
% 15.43/10.65 tff(19539,plain,
% 15.43/10.65 (((~![VarCurr: $i] : (v120(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)))))) | (v120(constB135) <=> (~(v90(constB135, bitIndex1) | v90(constB135, bitIndex2) | (~v90(constB135, bitIndex0)))))) <=> ((~![VarCurr: $i] : (v120(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)))))) | (v120(constB135) <=> (~(v90(constB135, bitIndex2) | v90(constB135, bitIndex1) | (~v90(constB135, bitIndex0))))))),
% 15.43/10.65 inference(transitivity,[status(thm)],[19538, 19536])).
% 15.43/10.65 tff(19540,plain,
% 15.43/10.65 ((~![VarCurr: $i] : (v120(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)))))) | (v120(constB135) <=> (~(v90(constB135, bitIndex1) | v90(constB135, bitIndex2) | (~v90(constB135, bitIndex0)))))),
% 15.43/10.65 inference(quant_inst,[status(thm)],[])).
% 15.43/10.65 tff(19541,plain,
% 15.43/10.65 ((~![VarCurr: $i] : (v120(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)))))) | (v120(constB135) <=> (~(v90(constB135, bitIndex2) | v90(constB135, bitIndex1) | (~v90(constB135, bitIndex0)))))),
% 15.43/10.65 inference(modus_ponens,[status(thm)],[19540, 19539])).
% 15.43/10.65 tff(19542,plain,
% 15.43/10.65 (v120(constB135) <=> (~(v90(constB135, bitIndex2) | v90(constB135, bitIndex1) | (~v90(constB135, bitIndex0))))),
% 15.43/10.65 inference(unit_resolution,[status(thm)],[19541, 966])).
% 15.43/10.65 tff(19543,plain,
% 15.43/10.65 ((v90(constB135, bitIndex2) | v90(constB135, bitIndex1) | (~v90(constB135, bitIndex0))) | (~v90(constB135, bitIndex2))),
% 15.43/10.65 inference(tautology,[status(thm)],[])).
% 15.43/10.65 tff(19544,plain,
% 15.43/10.65 (v90(constB135, bitIndex2) | v90(constB135, bitIndex1) | (~v90(constB135, bitIndex0))),
% 15.43/10.65 inference(unit_resolution,[status(thm)],[19543, 19363])).
% 15.43/10.65 tff(19545,plain,
% 15.43/10.65 ((~(v120(constB135) <=> (~(v90(constB135, bitIndex2) | v90(constB135, bitIndex1) | (~v90(constB135, bitIndex0)))))) | (~v120(constB135)) | (~(v90(constB135, bitIndex2) | v90(constB135, bitIndex1) | (~v90(constB135, bitIndex0))))),
% 15.43/10.65 inference(tautology,[status(thm)],[])).
% 15.43/10.65 tff(19546,plain,
% 15.43/10.65 (~v120(constB135)),
% 15.43/10.65 inference(unit_resolution,[status(thm)],[19545, 19544, 19542])).
% 15.43/10.65 tff(19547,plain,
% 15.43/10.65 (((~![VarCurr: $i] : (v124(VarCurr) | v123(VarCurr) | v122(VarCurr) | v121(VarCurr) | v120(VarCurr) | v119(VarCurr) | ![B: $i] : ((~less_3(B)) | (v130(VarCurr, B) <=> b001(B))))) | (v119(constB135) | v120(constB135) | v121(constB135) | v122(constB135) | v123(constB135) | v124(constB135) | ![B: $i] : ((~less_3(B)) | (v130(constB135, B) <=> b001(B))))) <=> ((~![VarCurr: $i] : (v124(VarCurr) | v123(VarCurr) | v122(VarCurr) | v121(VarCurr) | v120(VarCurr) | v119(VarCurr) | ![B: $i] : ((~less_3(B)) | (v130(VarCurr, B) <=> b001(B))))) | v119(constB135) | v120(constB135) | v121(constB135) | v122(constB135) | v123(constB135) | v124(constB135) | ![B: $i] : ((~less_3(B)) | (v130(constB135, B) <=> b001(B))))),
% 15.43/10.65 inference(rewrite,[status(thm)],[])).
% 15.43/10.65 tff(19548,plain,
% 15.43/10.65 ((v124(constB135) | v123(constB135) | v122(constB135) | v121(constB135) | v120(constB135) | v119(constB135) | ![B: $i] : ((~less_3(B)) | (v130(constB135, B) <=> b001(B)))) <=> (v119(constB135) | v120(constB135) | v121(constB135) | v122(constB135) | v123(constB135) | v124(constB135) | ![B: $i] : ((~less_3(B)) | (v130(constB135, B) <=> b001(B))))),
% 15.43/10.65 inference(rewrite,[status(thm)],[])).
% 15.43/10.65 tff(19549,plain,
% 15.43/10.65 (((~![VarCurr: $i] : (v124(VarCurr) | v123(VarCurr) | v122(VarCurr) | v121(VarCurr) | v120(VarCurr) | v119(VarCurr) | ![B: $i] : ((~less_3(B)) | (v130(VarCurr, B) <=> b001(B))))) | (v124(constB135) | v123(constB135) | v122(constB135) | v121(constB135) | v120(constB135) | v119(constB135) | ![B: $i] : ((~less_3(B)) | (v130(constB135, B) <=> b001(B))))) <=> ((~![VarCurr: $i] : (v124(VarCurr) | v123(VarCurr) | v122(VarCurr) | v121(VarCurr) | v120(VarCurr) | v119(VarCurr) | ![B: $i] : ((~less_3(B)) | (v130(VarCurr, B) <=> b001(B))))) | (v119(constB135) | v120(constB135) | v121(constB135) | v122(constB135) | v123(constB135) | v124(constB135) | ![B: $i] : ((~less_3(B)) | (v130(constB135, B) <=> b001(B)))))),
% 15.43/10.65 inference(monotonicity,[status(thm)],[19548])).
% 15.43/10.65 tff(19550,plain,
% 15.43/10.65 (((~![VarCurr: $i] : (v124(VarCurr) | v123(VarCurr) | v122(VarCurr) | v121(VarCurr) | v120(VarCurr) | v119(VarCurr) | ![B: $i] : ((~less_3(B)) | (v130(VarCurr, B) <=> b001(B))))) | (v124(constB135) | v123(constB135) | v122(constB135) | v121(constB135) | v120(constB135) | v119(constB135) | ![B: $i] : ((~less_3(B)) | (v130(constB135, B) <=> b001(B))))) <=> ((~![VarCurr: $i] : (v124(VarCurr) | v123(VarCurr) | v122(VarCurr) | v121(VarCurr) | v120(VarCurr) | v119(VarCurr) | ![B: $i] : ((~less_3(B)) | (v130(VarCurr, B) <=> b001(B))))) | v119(constB135) | v120(constB135) | v121(constB135) | v122(constB135) | v123(constB135) | v124(constB135) | ![B: $i] : ((~less_3(B)) | (v130(constB135, B) <=> b001(B))))),
% 15.43/10.65 inference(transitivity,[status(thm)],[19549, 19547])).
% 15.43/10.65 tff(19551,plain,
% 15.43/10.65 ((~![VarCurr: $i] : (v124(VarCurr) | v123(VarCurr) | v122(VarCurr) | v121(VarCurr) | v120(VarCurr) | v119(VarCurr) | ![B: $i] : ((~less_3(B)) | (v130(VarCurr, B) <=> b001(B))))) | (v124(constB135) | v123(constB135) | v122(constB135) | v121(constB135) | v120(constB135) | v119(constB135) | ![B: $i] : ((~less_3(B)) | (v130(constB135, B) <=> b001(B))))),
% 15.43/10.65 inference(quant_inst,[status(thm)],[])).
% 15.43/10.65 tff(19552,plain,
% 15.43/10.65 ((~![VarCurr: $i] : (v124(VarCurr) | v123(VarCurr) | v122(VarCurr) | v121(VarCurr) | v120(VarCurr) | v119(VarCurr) | ![B: $i] : ((~less_3(B)) | (v130(VarCurr, B) <=> b001(B))))) | v119(constB135) | v120(constB135) | v121(constB135) | v122(constB135) | v123(constB135) | v124(constB135) | ![B: $i] : ((~less_3(B)) | (v130(constB135, B) <=> b001(B)))),
% 15.43/10.65 inference(modus_ponens,[status(thm)],[19551, 19550])).
% 15.43/10.65 tff(19553,plain,
% 15.43/10.65 (v119(constB135) | v120(constB135) | v121(constB135) | v122(constB135) | v123(constB135) | v124(constB135) | ![B: $i] : ((~less_3(B)) | (v130(constB135, B) <=> b001(B)))),
% 15.43/10.65 inference(unit_resolution,[status(thm)],[19552, 5610])).
% 15.43/10.65 tff(19554,plain,
% 15.43/10.65 (![B: $i] : ((~less_3(B)) | (v130(constB135, B) <=> b001(B)))),
% 15.43/10.65 inference(unit_resolution,[status(thm)],[19553, 19546, 19535, 19524, 19513, 19502, 19491])).
% 15.43/10.65 tff(19555,plain,
% 15.43/10.65 (((~![B: $i] : ((~less_3(B)) | (v130(constB135, B) <=> b001(B)))) | ((~less_3(bitIndex2)) | (v130(constB135, bitIndex2) <=> b001(bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v130(constB135, B) <=> b001(B)))) | (~less_3(bitIndex2)) | (v130(constB135, bitIndex2) <=> b001(bitIndex2)))),
% 15.43/10.65 inference(rewrite,[status(thm)],[])).
% 15.43/10.65 tff(19556,plain,
% 15.43/10.65 ((~![B: $i] : ((~less_3(B)) | (v130(constB135, B) <=> b001(B)))) | ((~less_3(bitIndex2)) | (v130(constB135, bitIndex2) <=> b001(bitIndex2)))),
% 15.43/10.65 inference(quant_inst,[status(thm)],[])).
% 15.43/10.65 tff(19557,plain,
% 15.43/10.65 ((~![B: $i] : ((~less_3(B)) | (v130(constB135, B) <=> b001(B)))) | (~less_3(bitIndex2)) | (v130(constB135, bitIndex2) <=> b001(bitIndex2))),
% 15.43/10.65 inference(modus_ponens,[status(thm)],[19556, 19555])).
% 15.43/10.65 tff(19558,plain,
% 15.43/10.65 (v130(constB135, bitIndex2) <=> b001(bitIndex2)),
% 15.43/10.65 inference(unit_resolution,[status(thm)],[19557, 413, 19554])).
% 15.43/10.65 tff(19559,plain,
% 15.43/10.65 ((~(v130(constB135, bitIndex2) <=> b001(bitIndex2))) | (~v130(constB135, bitIndex2)) | b001(bitIndex2)),
% 15.43/10.65 inference(tautology,[status(thm)],[])).
% 15.43/10.65 tff(19560,plain,
% 15.43/10.65 ((~(v130(constB135, bitIndex2) <=> b001(bitIndex2))) | (~v130(constB135, bitIndex2))),
% 15.43/10.65 inference(unit_resolution,[status(thm)],[19559, 5625])).
% 15.43/10.65 tff(19561,plain,
% 15.43/10.65 (~v130(constB135, bitIndex2)),
% 15.43/10.65 inference(unit_resolution,[status(thm)],[19560, 19558])).
% 15.43/10.65 tff(19562,plain,
% 15.43/10.65 ((~(v127(constB135, bitIndex2) <=> v130(constB135, bitIndex2))) | (~v127(constB135, bitIndex2)) | v130(constB135, bitIndex2)),
% 15.43/10.65 inference(tautology,[status(thm)],[])).
% 15.43/10.65 tff(19563,plain,
% 15.43/10.65 (~v127(constB135, bitIndex2)),
% 15.43/10.65 inference(unit_resolution,[status(thm)],[19562, 19561, 19485])).
% 15.43/10.65 tff(19564,plain,
% 15.43/10.65 ((~(v129(constB136, bitIndex2) <=> v127(constB135, bitIndex2))) | (~v129(constB136, bitIndex2)) | v127(constB135, bitIndex2)),
% 15.43/10.65 inference(tautology,[status(thm)],[])).
% 15.43/10.65 tff(19565,plain,
% 15.43/10.65 (~v129(constB136, bitIndex2)),
% 15.43/10.65 inference(unit_resolution,[status(thm)],[19564, 19563, 19477])).
% 15.43/10.65 tff(19566,plain,
% 15.43/10.65 ((~(v90(constB136, bitIndex2) <=> v129(constB136, bitIndex2))) | (~v90(constB136, bitIndex2)) | v129(constB136, bitIndex2)),
% 15.43/10.65 inference(tautology,[status(thm)],[])).
% 15.43/10.65 tff(19567,plain,
% 15.43/10.65 (~v90(constB136, bitIndex2)),
% 15.43/10.65 inference(unit_resolution,[status(thm)],[19566, 19565, 19469])).
% 15.43/10.65 tff(19568,plain,
% 15.43/10.65 ((~(v90(constB137, bitIndex2) <=> v90(constB136, bitIndex2))) | (~v90(constB137, bitIndex2)) | v90(constB136, bitIndex2)),
% 15.43/10.65 inference(tautology,[status(thm)],[])).
% 15.43/10.65 tff(19569,plain,
% 15.43/10.65 (~v90(constB137, bitIndex2)),
% 15.43/10.65 inference(unit_resolution,[status(thm)],[19568, 19567, 14210])).
% 15.43/10.65 tff(19570,plain,
% 15.43/10.65 (((~![B: $i] : ((~less_3(B)) | (v90(constB137, B) <=> v90(constB136, B)))) | ((~less_3(bitIndex0)) | (v90(constB137, bitIndex0) <=> v90(constB136, bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v90(constB137, B) <=> v90(constB136, B)))) | (~less_3(bitIndex0)) | (v90(constB137, bitIndex0) <=> v90(constB136, bitIndex0)))),
% 15.43/10.65 inference(rewrite,[status(thm)],[])).
% 15.43/10.65 tff(19571,plain,
% 15.43/10.65 ((~![B: $i] : ((~less_3(B)) | (v90(constB137, B) <=> v90(constB136, B)))) | ((~less_3(bitIndex0)) | (v90(constB137, bitIndex0) <=> v90(constB136, bitIndex0)))),
% 15.43/10.65 inference(quant_inst,[status(thm)],[])).
% 15.43/10.65 tff(19572,plain,
% 15.43/10.65 ((~![B: $i] : ((~less_3(B)) | (v90(constB137, B) <=> v90(constB136, B)))) | (~less_3(bitIndex0)) | (v90(constB137, bitIndex0) <=> v90(constB136, bitIndex0))),
% 15.43/10.65 inference(modus_ponens,[status(thm)],[19571, 19570])).
% 15.43/10.65 tff(19573,plain,
% 15.43/10.65 (v90(constB137, bitIndex0) <=> v90(constB136, bitIndex0)),
% 15.43/10.65 inference(unit_resolution,[status(thm)],[19572, 5004, 14206])).
% 15.43/10.65 tff(19574,plain,
% 15.43/10.65 (((~![B: $i] : ((~less_3(B)) | (v90(constB136, B) <=> v129(constB136, B)))) | ((~less_3(bitIndex0)) | (v90(constB136, bitIndex0) <=> v129(constB136, bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v90(constB136, B) <=> v129(constB136, B)))) | (~less_3(bitIndex0)) | (v90(constB136, bitIndex0) <=> v129(constB136, bitIndex0)))),
% 15.43/10.65 inference(rewrite,[status(thm)],[])).
% 15.43/10.65 tff(19575,plain,
% 15.43/10.65 ((~![B: $i] : ((~less_3(B)) | (v90(constB136, B) <=> v129(constB136, B)))) | ((~less_3(bitIndex0)) | (v90(constB136, bitIndex0) <=> v129(constB136, bitIndex0)))),
% 15.43/10.65 inference(quant_inst,[status(thm)],[])).
% 15.43/10.65 tff(19576,plain,
% 15.43/10.65 ((~![B: $i] : ((~less_3(B)) | (v90(constB136, B) <=> v129(constB136, B)))) | (~less_3(bitIndex0)) | (v90(constB136, bitIndex0) <=> v129(constB136, bitIndex0))),
% 15.43/10.65 inference(modus_ponens,[status(thm)],[19575, 19574])).
% 15.43/10.66 tff(19577,plain,
% 15.43/10.66 (v90(constB136, bitIndex0) <=> v129(constB136, bitIndex0)),
% 15.43/10.66 inference(unit_resolution,[status(thm)],[19576, 5004, 19465])).
% 15.43/10.66 tff(19578,plain,
% 15.43/10.66 (((~![B: $i] : ((~less_3(B)) | (v129(constB136, B) <=> v127(constB135, B)))) | ((~less_3(bitIndex0)) | (v129(constB136, bitIndex0) <=> v127(constB135, bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v129(constB136, B) <=> v127(constB135, B)))) | (~less_3(bitIndex0)) | (v129(constB136, bitIndex0) <=> v127(constB135, bitIndex0)))),
% 15.43/10.66 inference(rewrite,[status(thm)],[])).
% 15.43/10.66 tff(19579,plain,
% 15.43/10.66 ((~![B: $i] : ((~less_3(B)) | (v129(constB136, B) <=> v127(constB135, B)))) | ((~less_3(bitIndex0)) | (v129(constB136, bitIndex0) <=> v127(constB135, bitIndex0)))),
% 15.43/10.66 inference(quant_inst,[status(thm)],[])).
% 15.43/10.66 tff(19580,plain,
% 15.43/10.66 ((~![B: $i] : ((~less_3(B)) | (v129(constB136, B) <=> v127(constB135, B)))) | (~less_3(bitIndex0)) | (v129(constB136, bitIndex0) <=> v127(constB135, bitIndex0))),
% 15.43/10.66 inference(modus_ponens,[status(thm)],[19579, 19578])).
% 15.43/10.66 tff(19581,plain,
% 15.43/10.66 (v129(constB136, bitIndex0) <=> v127(constB135, bitIndex0)),
% 15.43/10.66 inference(unit_resolution,[status(thm)],[19580, 5004, 19473])).
% 15.43/10.66 tff(19582,plain,
% 15.43/10.66 (((~![B: $i] : ((~less_3(B)) | (v127(constB135, B) <=> v130(constB135, B)))) | ((~less_3(bitIndex0)) | (v127(constB135, bitIndex0) <=> v130(constB135, bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v127(constB135, B) <=> v130(constB135, B)))) | (~less_3(bitIndex0)) | (v127(constB135, bitIndex0) <=> v130(constB135, bitIndex0)))),
% 15.43/10.66 inference(rewrite,[status(thm)],[])).
% 15.43/10.66 tff(19583,plain,
% 15.43/10.66 ((~![B: $i] : ((~less_3(B)) | (v127(constB135, B) <=> v130(constB135, B)))) | ((~less_3(bitIndex0)) | (v127(constB135, bitIndex0) <=> v130(constB135, bitIndex0)))),
% 15.43/10.66 inference(quant_inst,[status(thm)],[])).
% 15.43/10.66 tff(19584,plain,
% 15.43/10.66 ((~![B: $i] : ((~less_3(B)) | (v127(constB135, B) <=> v130(constB135, B)))) | (~less_3(bitIndex0)) | (v127(constB135, bitIndex0) <=> v130(constB135, bitIndex0))),
% 15.43/10.66 inference(modus_ponens,[status(thm)],[19583, 19582])).
% 15.43/10.66 tff(19585,plain,
% 15.43/10.66 (v127(constB135, bitIndex0) <=> v130(constB135, bitIndex0)),
% 15.43/10.66 inference(unit_resolution,[status(thm)],[19584, 5004, 19481])).
% 15.43/10.66 tff(19586,plain,
% 15.43/10.66 (((~![B: $i] : ((~less_3(B)) | (v130(constB135, B) <=> b001(B)))) | ((~less_3(bitIndex0)) | (v130(constB135, bitIndex0) <=> b001(bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v130(constB135, B) <=> b001(B)))) | (~less_3(bitIndex0)) | (v130(constB135, bitIndex0) <=> b001(bitIndex0)))),
% 15.43/10.66 inference(rewrite,[status(thm)],[])).
% 15.43/10.66 tff(19587,plain,
% 15.43/10.66 ((~![B: $i] : ((~less_3(B)) | (v130(constB135, B) <=> b001(B)))) | ((~less_3(bitIndex0)) | (v130(constB135, bitIndex0) <=> b001(bitIndex0)))),
% 15.43/10.66 inference(quant_inst,[status(thm)],[])).
% 15.43/10.66 tff(19588,plain,
% 15.43/10.66 ((~![B: $i] : ((~less_3(B)) | (v130(constB135, B) <=> b001(B)))) | (~less_3(bitIndex0)) | (v130(constB135, bitIndex0) <=> b001(bitIndex0))),
% 15.43/10.66 inference(modus_ponens,[status(thm)],[19587, 19586])).
% 15.43/10.66 tff(19589,plain,
% 15.43/10.66 (v130(constB135, bitIndex0) <=> b001(bitIndex0)),
% 15.43/10.66 inference(unit_resolution,[status(thm)],[19588, 5004, 19554])).
% 15.43/10.66 tff(19590,plain,
% 15.43/10.66 ((~(v130(constB135, bitIndex0) <=> b001(bitIndex0))) | v130(constB135, bitIndex0) | (~b001(bitIndex0))),
% 15.43/10.66 inference(tautology,[status(thm)],[])).
% 15.43/10.66 tff(19591,plain,
% 15.43/10.66 ((~(v130(constB135, bitIndex0) <=> b001(bitIndex0))) | v130(constB135, bitIndex0)),
% 15.43/10.66 inference(unit_resolution,[status(thm)],[19590, 5659])).
% 15.43/10.66 tff(19592,plain,
% 15.43/10.66 (v130(constB135, bitIndex0)),
% 15.43/10.66 inference(unit_resolution,[status(thm)],[19591, 19589])).
% 15.43/10.66 tff(19593,plain,
% 15.43/10.66 ((~(v127(constB135, bitIndex0) <=> v130(constB135, bitIndex0))) | v127(constB135, bitIndex0) | (~v130(constB135, bitIndex0))),
% 15.43/10.66 inference(tautology,[status(thm)],[])).
% 15.43/10.66 tff(19594,plain,
% 15.43/10.66 (v127(constB135, bitIndex0)),
% 15.43/10.66 inference(unit_resolution,[status(thm)],[19593, 19592, 19585])).
% 15.43/10.66 tff(19595,plain,
% 15.43/10.66 ((~(v129(constB136, bitIndex0) <=> v127(constB135, bitIndex0))) | v129(constB136, bitIndex0) | (~v127(constB135, bitIndex0))),
% 15.43/10.66 inference(tautology,[status(thm)],[])).
% 15.43/10.66 tff(19596,plain,
% 15.43/10.66 (v129(constB136, bitIndex0)),
% 15.43/10.66 inference(unit_resolution,[status(thm)],[19595, 19594, 19581])).
% 15.43/10.66 tff(19597,plain,
% 15.43/10.66 ((~(v90(constB136, bitIndex0) <=> v129(constB136, bitIndex0))) | v90(constB136, bitIndex0) | (~v129(constB136, bitIndex0))),
% 15.43/10.66 inference(tautology,[status(thm)],[])).
% 15.43/10.66 tff(19598,plain,
% 15.43/10.66 (v90(constB136, bitIndex0)),
% 15.43/10.66 inference(unit_resolution,[status(thm)],[19597, 19596, 19577])).
% 15.43/10.66 tff(19599,plain,
% 15.43/10.66 ((~(v90(constB137, bitIndex0) <=> v90(constB136, bitIndex0))) | v90(constB137, bitIndex0) | (~v90(constB136, bitIndex0))),
% 15.43/10.66 inference(tautology,[status(thm)],[])).
% 15.43/10.66 tff(19600,plain,
% 15.43/10.66 (v90(constB137, bitIndex0)),
% 15.43/10.66 inference(unit_resolution,[status(thm)],[19599, 19598, 19573])).
% 15.43/10.66 tff(19601,plain,
% 15.43/10.66 (((~![B: $i] : ((~less_3(B)) | (v90(constB137, B) <=> v90(constB136, B)))) | ((~less_3(bitIndex1)) | (v90(constB137, bitIndex1) <=> v90(constB136, bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v90(constB137, B) <=> v90(constB136, B)))) | (~less_3(bitIndex1)) | (v90(constB137, bitIndex1) <=> v90(constB136, bitIndex1)))),
% 15.43/10.66 inference(rewrite,[status(thm)],[])).
% 15.43/10.66 tff(19602,plain,
% 15.43/10.66 ((~![B: $i] : ((~less_3(B)) | (v90(constB137, B) <=> v90(constB136, B)))) | ((~less_3(bitIndex1)) | (v90(constB137, bitIndex1) <=> v90(constB136, bitIndex1)))),
% 15.43/10.66 inference(quant_inst,[status(thm)],[])).
% 15.43/10.66 tff(19603,plain,
% 15.43/10.66 ((~![B: $i] : ((~less_3(B)) | (v90(constB137, B) <=> v90(constB136, B)))) | (~less_3(bitIndex1)) | (v90(constB137, bitIndex1) <=> v90(constB136, bitIndex1))),
% 15.43/10.66 inference(modus_ponens,[status(thm)],[19602, 19601])).
% 15.43/10.66 tff(19604,plain,
% 15.43/10.66 (v90(constB137, bitIndex1) <=> v90(constB136, bitIndex1)),
% 15.43/10.66 inference(unit_resolution,[status(thm)],[19603, 5017, 14206])).
% 15.43/10.66 tff(19605,plain,
% 15.43/10.66 (((~![B: $i] : ((~less_3(B)) | (v90(constB136, B) <=> v129(constB136, B)))) | ((~less_3(bitIndex1)) | (v90(constB136, bitIndex1) <=> v129(constB136, bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v90(constB136, B) <=> v129(constB136, B)))) | (~less_3(bitIndex1)) | (v90(constB136, bitIndex1) <=> v129(constB136, bitIndex1)))),
% 15.43/10.66 inference(rewrite,[status(thm)],[])).
% 15.43/10.66 tff(19606,plain,
% 15.43/10.66 ((~![B: $i] : ((~less_3(B)) | (v90(constB136, B) <=> v129(constB136, B)))) | ((~less_3(bitIndex1)) | (v90(constB136, bitIndex1) <=> v129(constB136, bitIndex1)))),
% 15.43/10.66 inference(quant_inst,[status(thm)],[])).
% 15.43/10.66 tff(19607,plain,
% 15.43/10.66 ((~![B: $i] : ((~less_3(B)) | (v90(constB136, B) <=> v129(constB136, B)))) | (~less_3(bitIndex1)) | (v90(constB136, bitIndex1) <=> v129(constB136, bitIndex1))),
% 15.43/10.66 inference(modus_ponens,[status(thm)],[19606, 19605])).
% 15.43/10.66 tff(19608,plain,
% 15.43/10.66 (v90(constB136, bitIndex1) <=> v129(constB136, bitIndex1)),
% 15.43/10.66 inference(unit_resolution,[status(thm)],[19607, 5017, 19465])).
% 15.43/10.66 tff(19609,plain,
% 15.43/10.66 (((~![B: $i] : ((~less_3(B)) | (v129(constB136, B) <=> v127(constB135, B)))) | ((~less_3(bitIndex1)) | (v129(constB136, bitIndex1) <=> v127(constB135, bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v129(constB136, B) <=> v127(constB135, B)))) | (~less_3(bitIndex1)) | (v129(constB136, bitIndex1) <=> v127(constB135, bitIndex1)))),
% 15.43/10.66 inference(rewrite,[status(thm)],[])).
% 15.43/10.66 tff(19610,plain,
% 15.43/10.66 ((~![B: $i] : ((~less_3(B)) | (v129(constB136, B) <=> v127(constB135, B)))) | ((~less_3(bitIndex1)) | (v129(constB136, bitIndex1) <=> v127(constB135, bitIndex1)))),
% 15.43/10.66 inference(quant_inst,[status(thm)],[])).
% 15.43/10.66 tff(19611,plain,
% 15.43/10.66 ((~![B: $i] : ((~less_3(B)) | (v129(constB136, B) <=> v127(constB135, B)))) | (~less_3(bitIndex1)) | (v129(constB136, bitIndex1) <=> v127(constB135, bitIndex1))),
% 15.43/10.66 inference(modus_ponens,[status(thm)],[19610, 19609])).
% 15.43/10.66 tff(19612,plain,
% 15.43/10.66 (v129(constB136, bitIndex1) <=> v127(constB135, bitIndex1)),
% 15.43/10.66 inference(unit_resolution,[status(thm)],[19611, 5017, 19473])).
% 15.43/10.66 tff(19613,plain,
% 15.43/10.66 (((~![B: $i] : ((~less_3(B)) | (v127(constB135, B) <=> v130(constB135, B)))) | ((~less_3(bitIndex1)) | (v127(constB135, bitIndex1) <=> v130(constB135, bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v127(constB135, B) <=> v130(constB135, B)))) | (~less_3(bitIndex1)) | (v127(constB135, bitIndex1) <=> v130(constB135, bitIndex1)))),
% 15.43/10.66 inference(rewrite,[status(thm)],[])).
% 15.43/10.66 tff(19614,plain,
% 15.43/10.66 ((~![B: $i] : ((~less_3(B)) | (v127(constB135, B) <=> v130(constB135, B)))) | ((~less_3(bitIndex1)) | (v127(constB135, bitIndex1) <=> v130(constB135, bitIndex1)))),
% 15.43/10.66 inference(quant_inst,[status(thm)],[])).
% 15.43/10.66 tff(19615,plain,
% 15.43/10.66 ((~![B: $i] : ((~less_3(B)) | (v127(constB135, B) <=> v130(constB135, B)))) | (~less_3(bitIndex1)) | (v127(constB135, bitIndex1) <=> v130(constB135, bitIndex1))),
% 15.43/10.66 inference(modus_ponens,[status(thm)],[19614, 19613])).
% 15.43/10.66 tff(19616,plain,
% 15.43/10.66 (v127(constB135, bitIndex1) <=> v130(constB135, bitIndex1)),
% 15.43/10.66 inference(unit_resolution,[status(thm)],[19615, 5017, 19481])).
% 15.43/10.66 tff(19617,plain,
% 15.43/10.66 (((~![B: $i] : ((~less_3(B)) | (v130(constB135, B) <=> b001(B)))) | ((~less_3(bitIndex1)) | (v130(constB135, bitIndex1) <=> b001(bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v130(constB135, B) <=> b001(B)))) | (~less_3(bitIndex1)) | (v130(constB135, bitIndex1) <=> b001(bitIndex1)))),
% 15.43/10.66 inference(rewrite,[status(thm)],[])).
% 15.43/10.66 tff(19618,plain,
% 15.43/10.66 ((~![B: $i] : ((~less_3(B)) | (v130(constB135, B) <=> b001(B)))) | ((~less_3(bitIndex1)) | (v130(constB135, bitIndex1) <=> b001(bitIndex1)))),
% 15.43/10.66 inference(quant_inst,[status(thm)],[])).
% 15.43/10.66 tff(19619,plain,
% 15.43/10.66 ((~![B: $i] : ((~less_3(B)) | (v130(constB135, B) <=> b001(B)))) | (~less_3(bitIndex1)) | (v130(constB135, bitIndex1) <=> b001(bitIndex1))),
% 15.43/10.66 inference(modus_ponens,[status(thm)],[19618, 19617])).
% 15.43/10.66 tff(19620,plain,
% 15.43/10.66 (v130(constB135, bitIndex1) <=> b001(bitIndex1)),
% 15.43/10.66 inference(unit_resolution,[status(thm)],[19619, 5017, 19554])).
% 15.43/10.66 tff(19621,plain,
% 15.43/10.66 ((~(v130(constB135, bitIndex1) <=> b001(bitIndex1))) | (~v130(constB135, bitIndex1)) | b001(bitIndex1)),
% 15.43/10.66 inference(tautology,[status(thm)],[])).
% 15.43/10.66 tff(19622,plain,
% 15.43/10.66 ((~(v130(constB135, bitIndex1) <=> b001(bitIndex1))) | (~v130(constB135, bitIndex1))),
% 15.43/10.66 inference(unit_resolution,[status(thm)],[19621, 5693])).
% 15.43/10.66 tff(19623,plain,
% 15.43/10.66 (~v130(constB135, bitIndex1)),
% 15.43/10.66 inference(unit_resolution,[status(thm)],[19622, 19620])).
% 15.43/10.66 tff(19624,plain,
% 15.43/10.66 ((~(v127(constB135, bitIndex1) <=> v130(constB135, bitIndex1))) | (~v127(constB135, bitIndex1)) | v130(constB135, bitIndex1)),
% 15.43/10.66 inference(tautology,[status(thm)],[])).
% 15.43/10.66 tff(19625,plain,
% 15.43/10.66 (~v127(constB135, bitIndex1)),
% 15.43/10.66 inference(unit_resolution,[status(thm)],[19624, 19623, 19616])).
% 15.43/10.66 tff(19626,plain,
% 15.43/10.66 ((~(v129(constB136, bitIndex1) <=> v127(constB135, bitIndex1))) | (~v129(constB136, bitIndex1)) | v127(constB135, bitIndex1)),
% 15.43/10.66 inference(tautology,[status(thm)],[])).
% 15.43/10.66 tff(19627,plain,
% 15.43/10.66 (~v129(constB136, bitIndex1)),
% 15.43/10.66 inference(unit_resolution,[status(thm)],[19626, 19625, 19612])).
% 15.43/10.66 tff(19628,plain,
% 15.43/10.66 ((~(v90(constB136, bitIndex1) <=> v129(constB136, bitIndex1))) | (~v90(constB136, bitIndex1)) | v129(constB136, bitIndex1)),
% 15.43/10.66 inference(tautology,[status(thm)],[])).
% 15.43/10.66 tff(19629,plain,
% 15.43/10.66 (~v90(constB136, bitIndex1)),
% 15.43/10.66 inference(unit_resolution,[status(thm)],[19628, 19627, 19608])).
% 15.43/10.66 tff(19630,plain,
% 15.43/10.66 ((~(v90(constB137, bitIndex1) <=> v90(constB136, bitIndex1))) | (~v90(constB137, bitIndex1)) | v90(constB136, bitIndex1)),
% 15.43/10.66 inference(tautology,[status(thm)],[])).
% 15.43/10.66 tff(19631,plain,
% 15.43/10.66 (~v90(constB137, bitIndex1)),
% 15.43/10.66 inference(unit_resolution,[status(thm)],[19630, 19629, 19604])).
% 15.43/10.66 tff(19632,plain,
% 15.43/10.66 ((~(v90(constB137, bitIndex2) | v90(constB137, bitIndex1) | (~v90(constB137, bitIndex0)))) | v90(constB137, bitIndex2) | v90(constB137, bitIndex1) | (~v90(constB137, bitIndex0))),
% 15.43/10.66 inference(tautology,[status(thm)],[])).
% 15.43/10.66 tff(19633,plain,
% 15.43/10.66 (~(v90(constB137, bitIndex2) | v90(constB137, bitIndex1) | (~v90(constB137, bitIndex0)))),
% 15.43/10.66 inference(unit_resolution,[status(thm)],[19632, 19631, 19600, 19569])).
% 15.43/10.66 tff(19634,plain,
% 15.43/10.66 ((~(v120(constB137) <=> (~(v90(constB137, bitIndex2) | v90(constB137, bitIndex1) | (~v90(constB137, bitIndex0)))))) | v120(constB137) | (v90(constB137, bitIndex2) | v90(constB137, bitIndex1) | (~v90(constB137, bitIndex0)))),
% 15.43/10.66 inference(tautology,[status(thm)],[])).
% 15.43/10.66 tff(19635,plain,
% 15.43/10.66 (v120(constB137)),
% 15.43/10.66 inference(unit_resolution,[status(thm)],[19634, 19633, 14178])).
% 15.43/10.66 tff(19636,plain,
% 15.43/10.66 ((v119(constB137) | v120(constB137)) | (~v120(constB137))),
% 15.43/10.66 inference(tautology,[status(thm)],[])).
% 15.43/10.66 tff(19637,plain,
% 15.43/10.66 (v119(constB137) | v120(constB137)),
% 15.43/10.66 inference(unit_resolution,[status(thm)],[19636, 19635])).
% 15.43/10.66 tff(19638,plain,
% 15.43/10.66 ((~(v118(constB137) <=> (v119(constB137) | v120(constB137)))) | v118(constB137) | (~(v119(constB137) | v120(constB137)))),
% 15.43/10.66 inference(tautology,[status(thm)],[])).
% 15.43/10.66 tff(19639,plain,
% 15.43/10.66 (v118(constB137)),
% 15.43/10.66 inference(unit_resolution,[status(thm)],[19638, 19637, 14171])).
% 15.43/10.66 tff(19640,plain,
% 15.43/10.66 ((v118(constB137) | v121(constB137)) | (~v118(constB137))),
% 15.43/10.66 inference(tautology,[status(thm)],[])).
% 15.43/10.66 tff(19641,plain,
% 15.43/10.66 (v118(constB137) | v121(constB137)),
% 15.43/10.66 inference(unit_resolution,[status(thm)],[19640, 19639])).
% 15.43/10.66 tff(19642,plain,
% 15.43/10.66 ((~(v117(constB137) <=> (v118(constB137) | v121(constB137)))) | v117(constB137) | (~(v118(constB137) | v121(constB137)))),
% 15.43/10.66 inference(tautology,[status(thm)],[])).
% 15.43/10.66 tff(19643,plain,
% 15.43/10.66 (v117(constB137)),
% 15.43/10.66 inference(unit_resolution,[status(thm)],[19642, 19641, 14169])).
% 15.43/10.66 tff(19644,plain,
% 15.43/10.66 ((v117(constB137) | v122(constB137)) | (~v117(constB137))),
% 15.43/10.66 inference(tautology,[status(thm)],[])).
% 15.43/10.66 tff(19645,plain,
% 15.43/10.66 (v117(constB137) | v122(constB137)),
% 15.43/10.66 inference(unit_resolution,[status(thm)],[19644, 19643])).
% 15.43/10.66 tff(19646,plain,
% 15.43/10.66 ((~(v116(constB137) <=> (v117(constB137) | v122(constB137)))) | v116(constB137) | (~(v117(constB137) | v122(constB137)))),
% 15.43/10.66 inference(tautology,[status(thm)],[])).
% 15.43/10.66 tff(19647,plain,
% 15.43/10.66 (v116(constB137)),
% 15.43/10.66 inference(unit_resolution,[status(thm)],[19646, 19645, 14167])).
% 15.43/10.66 tff(19648,plain,
% 15.43/10.66 ((v116(constB137) | v123(constB137)) | (~v116(constB137))),
% 15.43/10.66 inference(tautology,[status(thm)],[])).
% 15.43/10.66 tff(19649,plain,
% 15.43/10.66 (v116(constB137) | v123(constB137)),
% 15.43/10.66 inference(unit_resolution,[status(thm)],[19648, 19647])).
% 15.43/10.66 tff(19650,plain,
% 15.43/10.66 ((~(v115(constB137) <=> (v116(constB137) | v123(constB137)))) | v115(constB137) | (~(v116(constB137) | v123(constB137)))),
% 15.43/10.66 inference(tautology,[status(thm)],[])).
% 15.43/10.66 tff(19651,plain,
% 15.43/10.66 (v115(constB137)),
% 15.43/10.66 inference(unit_resolution,[status(thm)],[19650, 19649, 14165])).
% 15.43/10.66 tff(19652,plain,
% 15.43/10.66 ((v115(constB137) | v124(constB137)) | (~v115(constB137))),
% 15.43/10.66 inference(tautology,[status(thm)],[])).
% 15.43/10.66 tff(19653,plain,
% 15.43/10.66 (v115(constB137) | v124(constB137)),
% 15.43/10.66 inference(unit_resolution,[status(thm)],[19652, 19651])).
% 15.43/10.66 tff(19654,plain,
% 15.43/10.66 ((~(v114(constB137) <=> (v115(constB137) | v124(constB137)))) | v114(constB137) | (~(v115(constB137) | v124(constB137)))),
% 15.43/10.66 inference(tautology,[status(thm)],[])).
% 15.43/10.66 tff(19655,plain,
% 15.43/10.66 (v114(constB137)),
% 15.43/10.66 inference(unit_resolution,[status(thm)],[19654, 19653, 14163])).
% 15.43/10.66 tff(19656,plain,
% 15.43/10.66 ((v114(constB137) | v125(constB137)) | (~v114(constB137))),
% 15.43/10.66 inference(tautology,[status(thm)],[])).
% 15.43/10.66 tff(19657,plain,
% 15.43/10.66 (v114(constB137) | v125(constB137)),
% 15.43/10.66 inference(unit_resolution,[status(thm)],[19656, 19655])).
% 15.43/10.66 tff(19658,plain,
% 15.43/10.66 ((~(v113(constB137) <=> (v114(constB137) | v125(constB137)))) | v113(constB137) | (~(v114(constB137) | v125(constB137)))),
% 15.43/10.66 inference(tautology,[status(thm)],[])).
% 15.43/10.66 tff(19659,plain,
% 15.43/10.66 (v113(constB137)),
% 15.43/10.66 inference(unit_resolution,[status(thm)],[19658, 19657, 14161])).
% 15.43/10.66 tff(19660,plain,
% 15.43/10.66 ((~![VarCurr: $i] : ((~v126(VarCurr)) <=> v111(VarCurr))) | ((~v126(constB137)) <=> v111(constB137))),
% 15.43/10.66 inference(quant_inst,[status(thm)],[])).
% 15.43/10.66 tff(19661,plain,
% 15.43/10.66 ((~v126(constB137)) <=> v111(constB137)),
% 15.43/10.66 inference(unit_resolution,[status(thm)],[19660, 5074])).
% 15.43/10.66 tff(19662,plain,
% 15.43/10.66 ((~![VarCurr: $i] : (v111(VarCurr) <=> v26(VarCurr))) | (v111(constB137) <=> v26(constB137))),
% 15.43/10.66 inference(quant_inst,[status(thm)],[])).
% 15.43/10.66 tff(19663,plain,
% 15.43/10.66 (v111(constB137) <=> v26(constB137)),
% 15.43/10.66 inference(unit_resolution,[status(thm)],[19662, 5086])).
% 15.43/10.66 tff(19664,plain,
% 15.43/10.66 ((~![VarCurr: $i] : (~v26(VarCurr))) | (~v26(constB137))),
% 15.43/10.66 inference(quant_inst,[status(thm)],[])).
% 15.43/10.66 tff(19665,plain,
% 15.43/10.66 (~v26(constB137)),
% 15.43/10.66 inference(unit_resolution,[status(thm)],[19664, 5098])).
% 15.43/10.66 tff(19666,plain,
% 15.43/10.66 ((~(v111(constB137) <=> v26(constB137))) | (~v111(constB137)) | v26(constB137)),
% 15.43/10.66 inference(tautology,[status(thm)],[])).
% 15.43/10.66 tff(19667,plain,
% 15.43/10.66 ((~(v111(constB137) <=> v26(constB137))) | (~v111(constB137))),
% 15.43/10.66 inference(unit_resolution,[status(thm)],[19666, 19665])).
% 15.43/10.66 tff(19668,plain,
% 15.43/10.66 (~v111(constB137)),
% 15.43/10.66 inference(unit_resolution,[status(thm)],[19667, 19663])).
% 15.43/10.66 tff(19669,plain,
% 15.43/10.66 ((~((~v126(constB137)) <=> v111(constB137))) | v126(constB137) | v111(constB137)),
% 15.43/10.66 inference(tautology,[status(thm)],[])).
% 15.43/10.66 tff(19670,plain,
% 15.43/10.66 ((~((~v126(constB137)) <=> v111(constB137))) | v126(constB137)),
% 15.43/10.66 inference(unit_resolution,[status(thm)],[19669, 19668])).
% 15.43/10.66 tff(19671,plain,
% 15.43/10.66 (v126(constB137)),
% 15.43/10.66 inference(unit_resolution,[status(thm)],[19670, 19661])).
% 15.43/10.66 tff(19672,plain,
% 15.43/10.66 ((~((~v113(constB137)) | (~v126(constB137)))) | (~v113(constB137)) | (~v126(constB137))),
% 15.43/10.66 inference(tautology,[status(thm)],[])).
% 15.43/10.66 tff(19673,plain,
% 15.43/10.66 ((~((~v113(constB137)) | (~v126(constB137)))) | (~v113(constB137))),
% 15.43/10.66 inference(unit_resolution,[status(thm)],[19672, 19671])).
% 15.43/10.66 tff(19674,plain,
% 15.43/10.66 (~((~v113(constB137)) | (~v126(constB137)))),
% 15.43/10.66 inference(unit_resolution,[status(thm)],[19673, 19659])).
% 15.43/10.66 tff(19675,plain,
% 15.43/10.66 ((~(v112(constB137) <=> (~((~v113(constB137)) | (~v126(constB137)))))) | v112(constB137) | ((~v113(constB137)) | (~v126(constB137)))),
% 15.43/10.66 inference(tautology,[status(thm)],[])).
% 15.43/10.66 tff(19676,plain,
% 15.43/10.66 (v112(constB137)),
% 15.43/10.66 inference(unit_resolution,[status(thm)],[19675, 19674, 14159])).
% 15.43/10.66 tff(19677,plain,
% 15.43/10.66 ((v111(constB137) | v112(constB137)) | (~v112(constB137))),
% 15.43/10.66 inference(tautology,[status(thm)],[])).
% 15.43/10.66 tff(19678,plain,
% 15.43/10.66 (v111(constB137) | v112(constB137)),
% 15.43/10.66 inference(unit_resolution,[status(thm)],[19677, 19676])).
% 15.43/10.66 tff(19679,plain,
% 15.43/10.66 ((~(v108(constB137) <=> (v111(constB137) | v112(constB137)))) | v108(constB137) | (~(v111(constB137) | v112(constB137)))),
% 15.43/10.66 inference(tautology,[status(thm)],[])).
% 15.43/10.66 tff(19680,plain,
% 15.43/10.66 (v108(constB137)),
% 15.43/10.66 inference(unit_resolution,[status(thm)],[19679, 19678, 14157])).
% 15.43/10.66 tff(19681,plain,
% 15.43/10.66 ((~(v110(constB138) <=> v108(constB137))) | v110(constB138) | (~v108(constB137))),
% 15.43/10.66 inference(tautology,[status(thm)],[])).
% 15.43/10.66 tff(19682,plain,
% 15.43/10.66 (v110(constB138)),
% 15.43/10.66 inference(unit_resolution,[status(thm)],[19681, 19680, 14155])).
% 15.43/10.66 tff(19683,plain,
% 15.43/10.66 ((~((~v101(constB138)) | (~v110(constB138)))) | (~v101(constB138)) | (~v110(constB138))),
% 15.43/10.66 inference(tautology,[status(thm)],[])).
% 15.43/10.66 tff(19684,plain,
% 15.43/10.66 (~((~v101(constB138)) | (~v110(constB138)))),
% 15.43/10.66 inference(unit_resolution,[status(thm)],[19683, 19682, 14151])).
% 15.43/10.66 tff(19685,plain,
% 15.43/10.66 ((~(v100(constB138) <=> (~((~v101(constB138)) | (~v110(constB138)))))) | v100(constB138) | ((~v101(constB138)) | (~v110(constB138)))),
% 15.43/10.66 inference(tautology,[status(thm)],[])).
% 15.43/10.66 tff(19686,plain,
% 15.43/10.66 (v100(constB138)),
% 15.43/10.66 inference(unit_resolution,[status(thm)],[19685, 19684, 14120])).
% 15.43/10.66 tff(19687,plain,
% 15.43/10.66 (((~![VarNext: $i] : ((~v100(VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v129(VarNext, B))))) | ((~v100(constB138)) | ![B: $i] : ((~less_3(B)) | (v90(constB138, B) <=> v129(constB138, B))))) <=> ((~![VarNext: $i] : ((~v100(VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v129(VarNext, B))))) | (~v100(constB138)) | ![B: $i] : ((~less_3(B)) | (v90(constB138, B) <=> v129(constB138, B))))),
% 15.43/10.66 inference(rewrite,[status(thm)],[])).
% 15.43/10.66 tff(19688,plain,
% 15.43/10.66 ((~![VarNext: $i] : ((~v100(VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v129(VarNext, B))))) | ((~v100(constB138)) | ![B: $i] : ((~less_3(B)) | (v90(constB138, B) <=> v129(constB138, B))))),
% 15.43/10.66 inference(quant_inst,[status(thm)],[])).
% 15.43/10.66 tff(19689,plain,
% 15.43/10.66 ((~![VarNext: $i] : ((~v100(VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v129(VarNext, B))))) | (~v100(constB138)) | ![B: $i] : ((~less_3(B)) | (v90(constB138, B) <=> v129(constB138, B)))),
% 15.43/10.66 inference(modus_ponens,[status(thm)],[19688, 19687])).
% 15.43/10.66 tff(19690,plain,
% 15.43/10.66 ((~v100(constB138)) | ![B: $i] : ((~less_3(B)) | (v90(constB138, B) <=> v129(constB138, B)))),
% 15.43/10.66 inference(unit_resolution,[status(thm)],[19689, 5134])).
% 15.43/10.66 tff(19691,plain,
% 15.43/10.66 (![B: $i] : ((~less_3(B)) | (v90(constB138, B) <=> v129(constB138, B)))),
% 15.43/10.66 inference(unit_resolution,[status(thm)],[19690, 19686])).
% 15.43/10.66 tff(19692,plain,
% 15.43/10.66 (((~![B: $i] : ((~less_3(B)) | (v90(constB138, B) <=> v129(constB138, B)))) | ((~less_3(bitIndex2)) | (v90(constB138, bitIndex2) <=> v129(constB138, bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v90(constB138, B) <=> v129(constB138, B)))) | (~less_3(bitIndex2)) | (v90(constB138, bitIndex2) <=> v129(constB138, bitIndex2)))),
% 15.43/10.66 inference(rewrite,[status(thm)],[])).
% 15.43/10.66 tff(19693,plain,
% 15.43/10.66 ((~![B: $i] : ((~less_3(B)) | (v90(constB138, B) <=> v129(constB138, B)))) | ((~less_3(bitIndex2)) | (v90(constB138, bitIndex2) <=> v129(constB138, bitIndex2)))),
% 15.43/10.66 inference(quant_inst,[status(thm)],[])).
% 15.43/10.66 tff(19694,plain,
% 15.43/10.66 ((~![B: $i] : ((~less_3(B)) | (v90(constB138, B) <=> v129(constB138, B)))) | (~less_3(bitIndex2)) | (v90(constB138, bitIndex2) <=> v129(constB138, bitIndex2))),
% 15.43/10.66 inference(modus_ponens,[status(thm)],[19693, 19692])).
% 15.43/10.66 tff(19695,plain,
% 15.43/10.66 (v90(constB138, bitIndex2) <=> v129(constB138, bitIndex2)),
% 15.43/10.66 inference(unit_resolution,[status(thm)],[19694, 413, 19691])).
% 15.43/10.66 tff(19696,plain,
% 15.43/10.66 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v129(VarNext, B) <=> v127(VarCurr, B))))) | ((~nextState(constB137, constB138)) | ![B: $i] : ((~less_3(B)) | (v129(constB138, B) <=> v127(constB137, B))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v129(VarNext, B) <=> v127(VarCurr, B))))) | (~nextState(constB137, constB138)) | ![B: $i] : ((~less_3(B)) | (v129(constB138, B) <=> v127(constB137, B))))),
% 15.43/10.66 inference(rewrite,[status(thm)],[])).
% 15.43/10.66 tff(19697,plain,
% 15.43/10.66 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v129(VarNext, B) <=> v127(VarCurr, B))))) | ((~nextState(constB137, constB138)) | ![B: $i] : ((~less_3(B)) | (v129(constB138, B) <=> v127(constB137, B))))),
% 15.43/10.66 inference(quant_inst,[status(thm)],[])).
% 15.43/10.66 tff(19698,plain,
% 15.43/10.66 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v129(VarNext, B) <=> v127(VarCurr, B))))) | (~nextState(constB137, constB138)) | ![B: $i] : ((~less_3(B)) | (v129(constB138, B) <=> v127(constB137, B)))),
% 15.43/10.66 inference(modus_ponens,[status(thm)],[19697, 19696])).
% 15.43/10.66 tff(19699,plain,
% 15.43/10.66 (![B: $i] : ((~less_3(B)) | (v129(constB138, B) <=> v127(constB137, B)))),
% 15.43/10.66 inference(unit_resolution,[status(thm)],[19698, 14116, 5156])).
% 15.43/10.66 tff(19700,plain,
% 15.43/10.66 (((~![B: $i] : ((~less_3(B)) | (v129(constB138, B) <=> v127(constB137, B)))) | ((~less_3(bitIndex2)) | (v129(constB138, bitIndex2) <=> v127(constB137, bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v129(constB138, B) <=> v127(constB137, B)))) | (~less_3(bitIndex2)) | (v129(constB138, bitIndex2) <=> v127(constB137, bitIndex2)))),
% 15.43/10.66 inference(rewrite,[status(thm)],[])).
% 15.43/10.66 tff(19701,plain,
% 15.43/10.66 ((~![B: $i] : ((~less_3(B)) | (v129(constB138, B) <=> v127(constB137, B)))) | ((~less_3(bitIndex2)) | (v129(constB138, bitIndex2) <=> v127(constB137, bitIndex2)))),
% 15.43/10.66 inference(quant_inst,[status(thm)],[])).
% 15.43/10.66 tff(19702,plain,
% 15.43/10.66 ((~![B: $i] : ((~less_3(B)) | (v129(constB138, B) <=> v127(constB137, B)))) | (~less_3(bitIndex2)) | (v129(constB138, bitIndex2) <=> v127(constB137, bitIndex2))),
% 15.43/10.66 inference(modus_ponens,[status(thm)],[19701, 19700])).
% 15.43/10.66 tff(19703,plain,
% 15.43/10.66 (v129(constB138, bitIndex2) <=> v127(constB137, bitIndex2)),
% 15.43/10.66 inference(unit_resolution,[status(thm)],[19702, 413, 19699])).
% 15.43/10.66 tff(19704,plain,
% 15.43/10.66 (((~![VarCurr: $i] : (v111(VarCurr) | ![B: $i] : ((~less_3(B)) | (v127(VarCurr, B) <=> v130(VarCurr, B))))) | (v111(constB137) | ![B: $i] : ((~less_3(B)) | (v127(constB137, B) <=> v130(constB137, B))))) <=> ((~![VarCurr: $i] : (v111(VarCurr) | ![B: $i] : ((~less_3(B)) | (v127(VarCurr, B) <=> v130(VarCurr, B))))) | v111(constB137) | ![B: $i] : ((~less_3(B)) | (v127(constB137, B) <=> v130(constB137, B))))),
% 15.43/10.66 inference(rewrite,[status(thm)],[])).
% 15.43/10.66 tff(19705,plain,
% 15.43/10.66 ((~![VarCurr: $i] : (v111(VarCurr) | ![B: $i] : ((~less_3(B)) | (v127(VarCurr, B) <=> v130(VarCurr, B))))) | (v111(constB137) | ![B: $i] : ((~less_3(B)) | (v127(constB137, B) <=> v130(constB137, B))))),
% 15.43/10.66 inference(quant_inst,[status(thm)],[])).
% 15.43/10.66 tff(19706,plain,
% 15.43/10.66 ((~![VarCurr: $i] : (v111(VarCurr) | ![B: $i] : ((~less_3(B)) | (v127(VarCurr, B) <=> v130(VarCurr, B))))) | v111(constB137) | ![B: $i] : ((~less_3(B)) | (v127(constB137, B) <=> v130(constB137, B)))),
% 15.43/10.66 inference(modus_ponens,[status(thm)],[19705, 19704])).
% 15.43/10.66 tff(19707,plain,
% 15.43/10.66 (![B: $i] : ((~less_3(B)) | (v127(constB137, B) <=> v130(constB137, B)))),
% 15.43/10.66 inference(unit_resolution,[status(thm)],[19706, 5177, 19668])).
% 15.43/10.66 tff(19708,plain,
% 15.43/10.66 (((~![B: $i] : ((~less_3(B)) | (v127(constB137, B) <=> v130(constB137, B)))) | ((~less_3(bitIndex2)) | (v127(constB137, bitIndex2) <=> v130(constB137, bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v127(constB137, B) <=> v130(constB137, B)))) | (~less_3(bitIndex2)) | (v127(constB137, bitIndex2) <=> v130(constB137, bitIndex2)))),
% 15.43/10.66 inference(rewrite,[status(thm)],[])).
% 15.43/10.66 tff(19709,plain,
% 15.43/10.66 ((~![B: $i] : ((~less_3(B)) | (v127(constB137, B) <=> v130(constB137, B)))) | ((~less_3(bitIndex2)) | (v127(constB137, bitIndex2) <=> v130(constB137, bitIndex2)))),
% 15.43/10.66 inference(quant_inst,[status(thm)],[])).
% 15.43/10.66 tff(19710,plain,
% 15.43/10.66 ((~![B: $i] : ((~less_3(B)) | (v127(constB137, B) <=> v130(constB137, B)))) | (~less_3(bitIndex2)) | (v127(constB137, bitIndex2) <=> v130(constB137, bitIndex2))),
% 15.43/10.66 inference(modus_ponens,[status(thm)],[19709, 19708])).
% 15.43/10.66 tff(19711,plain,
% 15.43/10.66 (v127(constB137, bitIndex2) <=> v130(constB137, bitIndex2)),
% 15.43/10.66 inference(unit_resolution,[status(thm)],[19710, 413, 19707])).
% 15.43/10.66 tff(19712,plain,
% 15.43/10.66 (((~![VarCurr: $i] : ((~v120(VarCurr)) | ![B: $i] : ((~less_3(B)) | (v130(VarCurr, B) <=> b010(B))))) | ((~v120(constB137)) | ![B: $i] : ((~less_3(B)) | (v130(constB137, B) <=> b010(B))))) <=> ((~![VarCurr: $i] : ((~v120(VarCurr)) | ![B: $i] : ((~less_3(B)) | (v130(VarCurr, B) <=> b010(B))))) | (~v120(constB137)) | ![B: $i] : ((~less_3(B)) | (v130(constB137, B) <=> b010(B))))),
% 15.43/10.66 inference(rewrite,[status(thm)],[])).
% 15.43/10.66 tff(19713,plain,
% 15.43/10.66 ((~![VarCurr: $i] : ((~v120(VarCurr)) | ![B: $i] : ((~less_3(B)) | (v130(VarCurr, B) <=> b010(B))))) | ((~v120(constB137)) | ![B: $i] : ((~less_3(B)) | (v130(constB137, B) <=> b010(B))))),
% 15.43/10.66 inference(quant_inst,[status(thm)],[])).
% 15.43/10.66 tff(19714,plain,
% 15.43/10.66 ((~![VarCurr: $i] : ((~v120(VarCurr)) | ![B: $i] : ((~less_3(B)) | (v130(VarCurr, B) <=> b010(B))))) | (~v120(constB137)) | ![B: $i] : ((~less_3(B)) | (v130(constB137, B) <=> b010(B)))),
% 15.43/10.66 inference(modus_ponens,[status(thm)],[19713, 19712])).
% 15.43/10.66 tff(19715,plain,
% 15.43/10.66 ((~v120(constB137)) | ![B: $i] : ((~less_3(B)) | (v130(constB137, B) <=> b010(B)))),
% 15.43/10.66 inference(unit_resolution,[status(thm)],[19714, 5797])).
% 15.43/10.66 tff(19716,plain,
% 15.43/10.66 (![B: $i] : ((~less_3(B)) | (v130(constB137, B) <=> b010(B)))),
% 15.43/10.66 inference(unit_resolution,[status(thm)],[19715, 19635])).
% 15.43/10.66 tff(19717,plain,
% 15.43/10.66 (((~![B: $i] : ((~less_3(B)) | (v130(constB137, B) <=> b010(B)))) | ((~less_3(bitIndex2)) | (v130(constB137, bitIndex2) <=> b010(bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v130(constB137, B) <=> b010(B)))) | (~less_3(bitIndex2)) | (v130(constB137, bitIndex2) <=> b010(bitIndex2)))),
% 15.43/10.66 inference(rewrite,[status(thm)],[])).
% 15.43/10.66 tff(19718,plain,
% 15.43/10.66 ((~![B: $i] : ((~less_3(B)) | (v130(constB137, B) <=> b010(B)))) | ((~less_3(bitIndex2)) | (v130(constB137, bitIndex2) <=> b010(bitIndex2)))),
% 15.43/10.66 inference(quant_inst,[status(thm)],[])).
% 15.43/10.66 tff(19719,plain,
% 15.43/10.66 ((~![B: $i] : ((~less_3(B)) | (v130(constB137, B) <=> b010(B)))) | (~less_3(bitIndex2)) | (v130(constB137, bitIndex2) <=> b010(bitIndex2))),
% 15.43/10.66 inference(modus_ponens,[status(thm)],[19718, 19717])).
% 15.43/10.66 tff(19720,plain,
% 15.43/10.66 (v130(constB137, bitIndex2) <=> b010(bitIndex2)),
% 15.43/10.66 inference(unit_resolution,[status(thm)],[19719, 413, 19716])).
% 15.43/10.66 tff(19721,plain,
% 15.43/10.66 ((~(v130(constB137, bitIndex2) <=> b010(bitIndex2))) | (~v130(constB137, bitIndex2)) | b010(bitIndex2)),
% 15.43/10.66 inference(tautology,[status(thm)],[])).
% 15.43/10.67 tff(19722,plain,
% 15.43/10.67 ((~(v130(constB137, bitIndex2) <=> b010(bitIndex2))) | (~v130(constB137, bitIndex2))),
% 15.43/10.67 inference(unit_resolution,[status(thm)],[19721, 5809])).
% 15.43/10.67 tff(19723,plain,
% 15.43/10.67 (~v130(constB137, bitIndex2)),
% 15.43/10.67 inference(unit_resolution,[status(thm)],[19722, 19720])).
% 15.43/10.67 tff(19724,plain,
% 15.43/10.67 ((~(v127(constB137, bitIndex2) <=> v130(constB137, bitIndex2))) | (~v127(constB137, bitIndex2)) | v130(constB137, bitIndex2)),
% 15.43/10.67 inference(tautology,[status(thm)],[])).
% 15.43/10.67 tff(19725,plain,
% 15.43/10.67 (~v127(constB137, bitIndex2)),
% 15.43/10.67 inference(unit_resolution,[status(thm)],[19724, 19723, 19711])).
% 15.43/10.67 tff(19726,plain,
% 15.43/10.67 ((~(v129(constB138, bitIndex2) <=> v127(constB137, bitIndex2))) | (~v129(constB138, bitIndex2)) | v127(constB137, bitIndex2)),
% 15.43/10.67 inference(tautology,[status(thm)],[])).
% 15.43/10.67 tff(19727,plain,
% 15.43/10.67 (~v129(constB138, bitIndex2)),
% 15.43/10.67 inference(unit_resolution,[status(thm)],[19726, 19725, 19703])).
% 15.43/10.67 tff(19728,plain,
% 15.43/10.67 ((~(v90(constB138, bitIndex2) <=> v129(constB138, bitIndex2))) | (~v90(constB138, bitIndex2)) | v129(constB138, bitIndex2)),
% 15.43/10.67 inference(tautology,[status(thm)],[])).
% 15.43/10.67 tff(19729,plain,
% 15.43/10.67 (~v90(constB138, bitIndex2)),
% 15.43/10.67 inference(unit_resolution,[status(thm)],[19728, 19727, 19695])).
% 15.43/10.67 tff(19730,plain,
% 15.43/10.67 ((~(v90(constB139, bitIndex2) <=> v90(constB138, bitIndex2))) | (~v90(constB139, bitIndex2)) | v90(constB138, bitIndex2)),
% 15.43/10.67 inference(tautology,[status(thm)],[])).
% 15.43/10.67 tff(19731,plain,
% 15.43/10.67 (~v90(constB139, bitIndex2)),
% 15.43/10.67 inference(unit_resolution,[status(thm)],[19730, 19729, 14113])).
% 15.43/10.67 tff(19732,plain,
% 15.43/10.67 (((~![B: $i] : ((~less_3(B)) | (v90(constB139, B) <=> v90(constB138, B)))) | ((~less_3(bitIndex0)) | (v90(constB139, bitIndex0) <=> v90(constB138, bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v90(constB139, B) <=> v90(constB138, B)))) | (~less_3(bitIndex0)) | (v90(constB139, bitIndex0) <=> v90(constB138, bitIndex0)))),
% 15.43/10.67 inference(rewrite,[status(thm)],[])).
% 15.43/10.67 tff(19733,plain,
% 15.43/10.67 ((~![B: $i] : ((~less_3(B)) | (v90(constB139, B) <=> v90(constB138, B)))) | ((~less_3(bitIndex0)) | (v90(constB139, bitIndex0) <=> v90(constB138, bitIndex0)))),
% 15.43/10.67 inference(quant_inst,[status(thm)],[])).
% 15.43/10.67 tff(19734,plain,
% 15.43/10.67 ((~![B: $i] : ((~less_3(B)) | (v90(constB139, B) <=> v90(constB138, B)))) | (~less_3(bitIndex0)) | (v90(constB139, bitIndex0) <=> v90(constB138, bitIndex0))),
% 15.43/10.67 inference(modus_ponens,[status(thm)],[19733, 19732])).
% 15.43/10.67 tff(19735,plain,
% 15.43/10.67 (v90(constB139, bitIndex0) <=> v90(constB138, bitIndex0)),
% 15.43/10.67 inference(unit_resolution,[status(thm)],[19734, 5004, 14109])).
% 15.43/10.67 tff(19736,plain,
% 15.43/10.67 (((~![B: $i] : ((~less_3(B)) | (v90(constB138, B) <=> v129(constB138, B)))) | ((~less_3(bitIndex0)) | (v90(constB138, bitIndex0) <=> v129(constB138, bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v90(constB138, B) <=> v129(constB138, B)))) | (~less_3(bitIndex0)) | (v90(constB138, bitIndex0) <=> v129(constB138, bitIndex0)))),
% 15.43/10.67 inference(rewrite,[status(thm)],[])).
% 15.43/10.67 tff(19737,plain,
% 15.43/10.67 ((~![B: $i] : ((~less_3(B)) | (v90(constB138, B) <=> v129(constB138, B)))) | ((~less_3(bitIndex0)) | (v90(constB138, bitIndex0) <=> v129(constB138, bitIndex0)))),
% 15.43/10.67 inference(quant_inst,[status(thm)],[])).
% 15.43/10.67 tff(19738,plain,
% 15.43/10.67 ((~![B: $i] : ((~less_3(B)) | (v90(constB138, B) <=> v129(constB138, B)))) | (~less_3(bitIndex0)) | (v90(constB138, bitIndex0) <=> v129(constB138, bitIndex0))),
% 15.43/10.67 inference(modus_ponens,[status(thm)],[19737, 19736])).
% 15.43/10.67 tff(19739,plain,
% 15.43/10.67 (v90(constB138, bitIndex0) <=> v129(constB138, bitIndex0)),
% 15.43/10.67 inference(unit_resolution,[status(thm)],[19738, 5004, 19691])).
% 15.43/10.67 tff(19740,plain,
% 15.43/10.67 (((~![B: $i] : ((~less_3(B)) | (v129(constB138, B) <=> v127(constB137, B)))) | ((~less_3(bitIndex0)) | (v129(constB138, bitIndex0) <=> v127(constB137, bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v129(constB138, B) <=> v127(constB137, B)))) | (~less_3(bitIndex0)) | (v129(constB138, bitIndex0) <=> v127(constB137, bitIndex0)))),
% 15.43/10.67 inference(rewrite,[status(thm)],[])).
% 15.43/10.67 tff(19741,plain,
% 15.43/10.67 ((~![B: $i] : ((~less_3(B)) | (v129(constB138, B) <=> v127(constB137, B)))) | ((~less_3(bitIndex0)) | (v129(constB138, bitIndex0) <=> v127(constB137, bitIndex0)))),
% 15.43/10.67 inference(quant_inst,[status(thm)],[])).
% 15.43/10.67 tff(19742,plain,
% 15.43/10.67 ((~![B: $i] : ((~less_3(B)) | (v129(constB138, B) <=> v127(constB137, B)))) | (~less_3(bitIndex0)) | (v129(constB138, bitIndex0) <=> v127(constB137, bitIndex0))),
% 15.43/10.67 inference(modus_ponens,[status(thm)],[19741, 19740])).
% 15.43/10.67 tff(19743,plain,
% 15.43/10.67 (v129(constB138, bitIndex0) <=> v127(constB137, bitIndex0)),
% 15.43/10.67 inference(unit_resolution,[status(thm)],[19742, 5004, 19699])).
% 15.43/10.67 tff(19744,plain,
% 15.43/10.67 (((~![B: $i] : ((~less_3(B)) | (v127(constB137, B) <=> v130(constB137, B)))) | ((~less_3(bitIndex0)) | (v127(constB137, bitIndex0) <=> v130(constB137, bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v127(constB137, B) <=> v130(constB137, B)))) | (~less_3(bitIndex0)) | (v127(constB137, bitIndex0) <=> v130(constB137, bitIndex0)))),
% 15.43/10.67 inference(rewrite,[status(thm)],[])).
% 15.43/10.67 tff(19745,plain,
% 15.43/10.67 ((~![B: $i] : ((~less_3(B)) | (v127(constB137, B) <=> v130(constB137, B)))) | ((~less_3(bitIndex0)) | (v127(constB137, bitIndex0) <=> v130(constB137, bitIndex0)))),
% 15.43/10.67 inference(quant_inst,[status(thm)],[])).
% 15.43/10.67 tff(19746,plain,
% 15.43/10.67 ((~![B: $i] : ((~less_3(B)) | (v127(constB137, B) <=> v130(constB137, B)))) | (~less_3(bitIndex0)) | (v127(constB137, bitIndex0) <=> v130(constB137, bitIndex0))),
% 15.43/10.67 inference(modus_ponens,[status(thm)],[19745, 19744])).
% 15.43/10.67 tff(19747,plain,
% 15.43/10.67 (v127(constB137, bitIndex0) <=> v130(constB137, bitIndex0)),
% 15.43/10.67 inference(unit_resolution,[status(thm)],[19746, 5004, 19707])).
% 15.43/10.67 tff(19748,plain,
% 15.43/10.67 (((~![B: $i] : ((~less_3(B)) | (v130(constB137, B) <=> b010(B)))) | ((~less_3(bitIndex0)) | (v130(constB137, bitIndex0) <=> b010(bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v130(constB137, B) <=> b010(B)))) | (~less_3(bitIndex0)) | (v130(constB137, bitIndex0) <=> b010(bitIndex0)))),
% 15.43/10.67 inference(rewrite,[status(thm)],[])).
% 15.43/10.67 tff(19749,plain,
% 15.43/10.67 ((~![B: $i] : ((~less_3(B)) | (v130(constB137, B) <=> b010(B)))) | ((~less_3(bitIndex0)) | (v130(constB137, bitIndex0) <=> b010(bitIndex0)))),
% 15.43/10.67 inference(quant_inst,[status(thm)],[])).
% 15.43/10.67 tff(19750,plain,
% 15.43/10.67 ((~![B: $i] : ((~less_3(B)) | (v130(constB137, B) <=> b010(B)))) | (~less_3(bitIndex0)) | (v130(constB137, bitIndex0) <=> b010(bitIndex0))),
% 15.43/10.67 inference(modus_ponens,[status(thm)],[19749, 19748])).
% 15.43/10.67 tff(19751,plain,
% 15.43/10.67 (v130(constB137, bitIndex0) <=> b010(bitIndex0)),
% 15.43/10.67 inference(unit_resolution,[status(thm)],[19750, 5004, 19716])).
% 15.43/10.67 tff(19752,plain,
% 15.43/10.67 ((~(v130(constB137, bitIndex0) <=> b010(bitIndex0))) | (~v130(constB137, bitIndex0)) | b010(bitIndex0)),
% 15.43/10.67 inference(tautology,[status(thm)],[])).
% 15.43/10.67 tff(19753,plain,
% 15.43/10.67 ((~(v130(constB137, bitIndex0) <=> b010(bitIndex0))) | (~v130(constB137, bitIndex0))),
% 15.43/10.67 inference(unit_resolution,[status(thm)],[19752, 5843])).
% 15.43/10.67 tff(19754,plain,
% 15.43/10.67 (~v130(constB137, bitIndex0)),
% 15.43/10.67 inference(unit_resolution,[status(thm)],[19753, 19751])).
% 15.43/10.67 tff(19755,plain,
% 15.43/10.67 ((~(v127(constB137, bitIndex0) <=> v130(constB137, bitIndex0))) | (~v127(constB137, bitIndex0)) | v130(constB137, bitIndex0)),
% 15.43/10.67 inference(tautology,[status(thm)],[])).
% 15.43/10.67 tff(19756,plain,
% 15.43/10.67 (~v127(constB137, bitIndex0)),
% 15.43/10.67 inference(unit_resolution,[status(thm)],[19755, 19754, 19747])).
% 15.43/10.67 tff(19757,plain,
% 15.43/10.67 ((~(v129(constB138, bitIndex0) <=> v127(constB137, bitIndex0))) | (~v129(constB138, bitIndex0)) | v127(constB137, bitIndex0)),
% 15.43/10.67 inference(tautology,[status(thm)],[])).
% 15.43/10.67 tff(19758,plain,
% 15.43/10.67 (~v129(constB138, bitIndex0)),
% 15.43/10.67 inference(unit_resolution,[status(thm)],[19757, 19756, 19743])).
% 15.43/10.67 tff(19759,plain,
% 15.43/10.67 ((~(v90(constB138, bitIndex0) <=> v129(constB138, bitIndex0))) | (~v90(constB138, bitIndex0)) | v129(constB138, bitIndex0)),
% 15.43/10.67 inference(tautology,[status(thm)],[])).
% 15.43/10.67 tff(19760,plain,
% 15.43/10.67 (~v90(constB138, bitIndex0)),
% 15.43/10.67 inference(unit_resolution,[status(thm)],[19759, 19758, 19739])).
% 15.43/10.67 tff(19761,plain,
% 15.43/10.67 ((~(v90(constB139, bitIndex0) <=> v90(constB138, bitIndex0))) | (~v90(constB139, bitIndex0)) | v90(constB138, bitIndex0)),
% 15.43/10.67 inference(tautology,[status(thm)],[])).
% 15.43/10.67 tff(19762,plain,
% 15.43/10.67 (~v90(constB139, bitIndex0)),
% 15.43/10.67 inference(unit_resolution,[status(thm)],[19761, 19760, 19735])).
% 15.43/10.67 tff(19763,plain,
% 15.43/10.67 (((~![B: $i] : ((~less_3(B)) | (v90(constB139, B) <=> v90(constB138, B)))) | ((~less_3(bitIndex1)) | (v90(constB139, bitIndex1) <=> v90(constB138, bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v90(constB139, B) <=> v90(constB138, B)))) | (~less_3(bitIndex1)) | (v90(constB139, bitIndex1) <=> v90(constB138, bitIndex1)))),
% 15.43/10.67 inference(rewrite,[status(thm)],[])).
% 15.43/10.67 tff(19764,plain,
% 15.43/10.67 ((~![B: $i] : ((~less_3(B)) | (v90(constB139, B) <=> v90(constB138, B)))) | ((~less_3(bitIndex1)) | (v90(constB139, bitIndex1) <=> v90(constB138, bitIndex1)))),
% 15.43/10.67 inference(quant_inst,[status(thm)],[])).
% 15.43/10.67 tff(19765,plain,
% 15.43/10.67 ((~![B: $i] : ((~less_3(B)) | (v90(constB139, B) <=> v90(constB138, B)))) | (~less_3(bitIndex1)) | (v90(constB139, bitIndex1) <=> v90(constB138, bitIndex1))),
% 15.43/10.67 inference(modus_ponens,[status(thm)],[19764, 19763])).
% 15.43/10.67 tff(19766,plain,
% 15.43/10.67 (v90(constB139, bitIndex1) <=> v90(constB138, bitIndex1)),
% 15.43/10.67 inference(unit_resolution,[status(thm)],[19765, 5017, 14109])).
% 15.43/10.67 tff(19767,plain,
% 15.43/10.67 (((~![B: $i] : ((~less_3(B)) | (v90(constB138, B) <=> v129(constB138, B)))) | ((~less_3(bitIndex1)) | (v90(constB138, bitIndex1) <=> v129(constB138, bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v90(constB138, B) <=> v129(constB138, B)))) | (~less_3(bitIndex1)) | (v90(constB138, bitIndex1) <=> v129(constB138, bitIndex1)))),
% 15.43/10.67 inference(rewrite,[status(thm)],[])).
% 15.43/10.67 tff(19768,plain,
% 15.43/10.67 ((~![B: $i] : ((~less_3(B)) | (v90(constB138, B) <=> v129(constB138, B)))) | ((~less_3(bitIndex1)) | (v90(constB138, bitIndex1) <=> v129(constB138, bitIndex1)))),
% 15.43/10.67 inference(quant_inst,[status(thm)],[])).
% 15.43/10.67 tff(19769,plain,
% 15.43/10.67 ((~![B: $i] : ((~less_3(B)) | (v90(constB138, B) <=> v129(constB138, B)))) | (~less_3(bitIndex1)) | (v90(constB138, bitIndex1) <=> v129(constB138, bitIndex1))),
% 15.43/10.67 inference(modus_ponens,[status(thm)],[19768, 19767])).
% 15.43/10.67 tff(19770,plain,
% 15.43/10.67 (v90(constB138, bitIndex1) <=> v129(constB138, bitIndex1)),
% 15.43/10.67 inference(unit_resolution,[status(thm)],[19769, 5017, 19691])).
% 15.43/10.67 tff(19771,plain,
% 15.43/10.67 (((~![B: $i] : ((~less_3(B)) | (v129(constB138, B) <=> v127(constB137, B)))) | ((~less_3(bitIndex1)) | (v129(constB138, bitIndex1) <=> v127(constB137, bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v129(constB138, B) <=> v127(constB137, B)))) | (~less_3(bitIndex1)) | (v129(constB138, bitIndex1) <=> v127(constB137, bitIndex1)))),
% 15.43/10.67 inference(rewrite,[status(thm)],[])).
% 15.43/10.67 tff(19772,plain,
% 15.43/10.67 ((~![B: $i] : ((~less_3(B)) | (v129(constB138, B) <=> v127(constB137, B)))) | ((~less_3(bitIndex1)) | (v129(constB138, bitIndex1) <=> v127(constB137, bitIndex1)))),
% 15.43/10.67 inference(quant_inst,[status(thm)],[])).
% 15.43/10.67 tff(19773,plain,
% 15.43/10.67 ((~![B: $i] : ((~less_3(B)) | (v129(constB138, B) <=> v127(constB137, B)))) | (~less_3(bitIndex1)) | (v129(constB138, bitIndex1) <=> v127(constB137, bitIndex1))),
% 15.43/10.67 inference(modus_ponens,[status(thm)],[19772, 19771])).
% 15.43/10.67 tff(19774,plain,
% 15.43/10.67 (v129(constB138, bitIndex1) <=> v127(constB137, bitIndex1)),
% 15.43/10.67 inference(unit_resolution,[status(thm)],[19773, 5017, 19699])).
% 15.43/10.67 tff(19775,plain,
% 15.43/10.67 (((~![B: $i] : ((~less_3(B)) | (v127(constB137, B) <=> v130(constB137, B)))) | ((~less_3(bitIndex1)) | (v127(constB137, bitIndex1) <=> v130(constB137, bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v127(constB137, B) <=> v130(constB137, B)))) | (~less_3(bitIndex1)) | (v127(constB137, bitIndex1) <=> v130(constB137, bitIndex1)))),
% 15.43/10.67 inference(rewrite,[status(thm)],[])).
% 15.43/10.67 tff(19776,plain,
% 15.43/10.67 ((~![B: $i] : ((~less_3(B)) | (v127(constB137, B) <=> v130(constB137, B)))) | ((~less_3(bitIndex1)) | (v127(constB137, bitIndex1) <=> v130(constB137, bitIndex1)))),
% 15.43/10.67 inference(quant_inst,[status(thm)],[])).
% 15.43/10.67 tff(19777,plain,
% 15.43/10.67 ((~![B: $i] : ((~less_3(B)) | (v127(constB137, B) <=> v130(constB137, B)))) | (~less_3(bitIndex1)) | (v127(constB137, bitIndex1) <=> v130(constB137, bitIndex1))),
% 15.43/10.67 inference(modus_ponens,[status(thm)],[19776, 19775])).
% 15.43/10.67 tff(19778,plain,
% 15.43/10.67 (v127(constB137, bitIndex1) <=> v130(constB137, bitIndex1)),
% 15.43/10.67 inference(unit_resolution,[status(thm)],[19777, 5017, 19707])).
% 15.43/10.67 tff(19779,plain,
% 15.43/10.67 (((~![B: $i] : ((~less_3(B)) | (v130(constB137, B) <=> b010(B)))) | ((~less_3(bitIndex1)) | (v130(constB137, bitIndex1) <=> b010(bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v130(constB137, B) <=> b010(B)))) | (~less_3(bitIndex1)) | (v130(constB137, bitIndex1) <=> b010(bitIndex1)))),
% 15.43/10.67 inference(rewrite,[status(thm)],[])).
% 15.43/10.67 tff(19780,plain,
% 15.43/10.67 ((~![B: $i] : ((~less_3(B)) | (v130(constB137, B) <=> b010(B)))) | ((~less_3(bitIndex1)) | (v130(constB137, bitIndex1) <=> b010(bitIndex1)))),
% 15.43/10.67 inference(quant_inst,[status(thm)],[])).
% 15.43/10.67 tff(19781,plain,
% 15.43/10.67 ((~![B: $i] : ((~less_3(B)) | (v130(constB137, B) <=> b010(B)))) | (~less_3(bitIndex1)) | (v130(constB137, bitIndex1) <=> b010(bitIndex1))),
% 15.43/10.67 inference(modus_ponens,[status(thm)],[19780, 19779])).
% 15.43/10.67 tff(19782,plain,
% 15.43/10.67 (v130(constB137, bitIndex1) <=> b010(bitIndex1)),
% 15.43/10.67 inference(unit_resolution,[status(thm)],[19781, 5017, 19716])).
% 15.43/10.67 tff(19783,plain,
% 15.43/10.67 ((~(v130(constB137, bitIndex1) <=> b010(bitIndex1))) | v130(constB137, bitIndex1) | (~b010(bitIndex1))),
% 15.43/10.67 inference(tautology,[status(thm)],[])).
% 15.43/10.67 tff(19784,plain,
% 15.43/10.67 ((~(v130(constB137, bitIndex1) <=> b010(bitIndex1))) | v130(constB137, bitIndex1)),
% 15.43/10.67 inference(unit_resolution,[status(thm)],[19783, 5877])).
% 15.43/10.67 tff(19785,plain,
% 15.43/10.67 (v130(constB137, bitIndex1)),
% 15.43/10.67 inference(unit_resolution,[status(thm)],[19784, 19782])).
% 15.43/10.67 tff(19786,plain,
% 15.43/10.67 ((~(v127(constB137, bitIndex1) <=> v130(constB137, bitIndex1))) | v127(constB137, bitIndex1) | (~v130(constB137, bitIndex1))),
% 15.43/10.67 inference(tautology,[status(thm)],[])).
% 15.43/10.67 tff(19787,plain,
% 15.43/10.67 (v127(constB137, bitIndex1)),
% 15.43/10.67 inference(unit_resolution,[status(thm)],[19786, 19785, 19778])).
% 15.43/10.67 tff(19788,plain,
% 15.43/10.67 ((~(v129(constB138, bitIndex1) <=> v127(constB137, bitIndex1))) | v129(constB138, bitIndex1) | (~v127(constB137, bitIndex1))),
% 15.43/10.67 inference(tautology,[status(thm)],[])).
% 15.43/10.67 tff(19789,plain,
% 15.43/10.67 (v129(constB138, bitIndex1)),
% 15.43/10.67 inference(unit_resolution,[status(thm)],[19788, 19787, 19774])).
% 15.43/10.67 tff(19790,plain,
% 15.43/10.67 ((~(v90(constB138, bitIndex1) <=> v129(constB138, bitIndex1))) | v90(constB138, bitIndex1) | (~v129(constB138, bitIndex1))),
% 15.43/10.67 inference(tautology,[status(thm)],[])).
% 15.43/10.67 tff(19791,plain,
% 15.43/10.67 (v90(constB138, bitIndex1)),
% 15.43/10.67 inference(unit_resolution,[status(thm)],[19790, 19789, 19770])).
% 15.43/10.67 tff(19792,plain,
% 15.43/10.67 ((~(v90(constB139, bitIndex1) <=> v90(constB138, bitIndex1))) | v90(constB139, bitIndex1) | (~v90(constB138, bitIndex1))),
% 15.43/10.67 inference(tautology,[status(thm)],[])).
% 15.43/10.67 tff(19793,plain,
% 15.43/10.67 (v90(constB139, bitIndex1)),
% 15.43/10.67 inference(unit_resolution,[status(thm)],[19792, 19791, 19766])).
% 15.43/10.67 tff(19794,plain,
% 15.43/10.67 ((~(v90(constB139, bitIndex2) | (~v90(constB139, bitIndex1)) | v90(constB139, bitIndex0))) | v90(constB139, bitIndex2) | (~v90(constB139, bitIndex1)) | v90(constB139, bitIndex0)),
% 15.43/10.67 inference(tautology,[status(thm)],[])).
% 15.43/10.67 tff(19795,plain,
% 15.43/10.67 (~(v90(constB139, bitIndex2) | (~v90(constB139, bitIndex1)) | v90(constB139, bitIndex0))),
% 15.43/10.67 inference(unit_resolution,[status(thm)],[19794, 19793, 19762, 19731])).
% 15.43/10.67 tff(19796,plain,
% 15.43/10.67 ((~(v121(constB139) <=> (~(v90(constB139, bitIndex2) | (~v90(constB139, bitIndex1)) | v90(constB139, bitIndex0))))) | v121(constB139) | (v90(constB139, bitIndex2) | (~v90(constB139, bitIndex1)) | v90(constB139, bitIndex0))),
% 15.43/10.67 inference(tautology,[status(thm)],[])).
% 15.43/10.67 tff(19797,plain,
% 15.43/10.67 (v121(constB139)),
% 15.43/10.67 inference(unit_resolution,[status(thm)],[19796, 19795, 14081])).
% 15.43/10.67 tff(19798,plain,
% 15.43/10.67 ((v118(constB139) | v121(constB139)) | (~v121(constB139))),
% 15.43/10.67 inference(tautology,[status(thm)],[])).
% 15.43/10.67 tff(19799,plain,
% 15.43/10.67 (v118(constB139) | v121(constB139)),
% 15.43/10.67 inference(unit_resolution,[status(thm)],[19798, 19797])).
% 15.43/10.67 tff(19800,plain,
% 15.43/10.67 ((~(v117(constB139) <=> (v118(constB139) | v121(constB139)))) | v117(constB139) | (~(v118(constB139) | v121(constB139)))),
% 15.43/10.67 inference(tautology,[status(thm)],[])).
% 15.43/10.67 tff(19801,plain,
% 15.43/10.67 (v117(constB139)),
% 15.43/10.67 inference(unit_resolution,[status(thm)],[19800, 19799, 14074])).
% 15.43/10.67 tff(19802,plain,
% 15.43/10.67 ((v117(constB139) | v122(constB139)) | (~v117(constB139))),
% 15.43/10.67 inference(tautology,[status(thm)],[])).
% 15.43/10.67 tff(19803,plain,
% 15.43/10.67 (v117(constB139) | v122(constB139)),
% 15.43/10.67 inference(unit_resolution,[status(thm)],[19802, 19801])).
% 15.43/10.67 tff(19804,plain,
% 15.43/10.67 ((~(v116(constB139) <=> (v117(constB139) | v122(constB139)))) | v116(constB139) | (~(v117(constB139) | v122(constB139)))),
% 15.43/10.67 inference(tautology,[status(thm)],[])).
% 15.43/10.67 tff(19805,plain,
% 15.43/10.67 (v116(constB139)),
% 15.43/10.67 inference(unit_resolution,[status(thm)],[19804, 19803, 14072])).
% 15.43/10.67 tff(19806,plain,
% 15.43/10.67 ((v116(constB139) | v123(constB139)) | (~v116(constB139))),
% 15.43/10.67 inference(tautology,[status(thm)],[])).
% 15.43/10.67 tff(19807,plain,
% 15.43/10.67 (v116(constB139) | v123(constB139)),
% 15.43/10.67 inference(unit_resolution,[status(thm)],[19806, 19805])).
% 15.43/10.67 tff(19808,plain,
% 15.43/10.67 ((~(v115(constB139) <=> (v116(constB139) | v123(constB139)))) | v115(constB139) | (~(v116(constB139) | v123(constB139)))),
% 15.43/10.67 inference(tautology,[status(thm)],[])).
% 15.43/10.67 tff(19809,plain,
% 15.43/10.67 (v115(constB139)),
% 15.43/10.67 inference(unit_resolution,[status(thm)],[19808, 19807, 14070])).
% 15.43/10.67 tff(19810,plain,
% 15.43/10.67 ((v115(constB139) | v124(constB139)) | (~v115(constB139))),
% 15.43/10.67 inference(tautology,[status(thm)],[])).
% 15.43/10.67 tff(19811,plain,
% 15.43/10.67 (v115(constB139) | v124(constB139)),
% 15.43/10.67 inference(unit_resolution,[status(thm)],[19810, 19809])).
% 15.43/10.67 tff(19812,plain,
% 15.43/10.67 ((~(v114(constB139) <=> (v115(constB139) | v124(constB139)))) | v114(constB139) | (~(v115(constB139) | v124(constB139)))),
% 15.43/10.67 inference(tautology,[status(thm)],[])).
% 15.43/10.67 tff(19813,plain,
% 15.43/10.67 (v114(constB139)),
% 15.43/10.67 inference(unit_resolution,[status(thm)],[19812, 19811, 14068])).
% 15.43/10.67 tff(19814,plain,
% 15.43/10.67 ((v114(constB139) | v125(constB139)) | (~v114(constB139))),
% 15.43/10.67 inference(tautology,[status(thm)],[])).
% 15.43/10.67 tff(19815,plain,
% 15.43/10.67 (v114(constB139) | v125(constB139)),
% 15.43/10.67 inference(unit_resolution,[status(thm)],[19814, 19813])).
% 15.43/10.67 tff(19816,plain,
% 15.43/10.67 ((~(v113(constB139) <=> (v114(constB139) | v125(constB139)))) | v113(constB139) | (~(v114(constB139) | v125(constB139)))),
% 15.43/10.67 inference(tautology,[status(thm)],[])).
% 15.43/10.67 tff(19817,plain,
% 15.43/10.67 (v113(constB139)),
% 15.43/10.67 inference(unit_resolution,[status(thm)],[19816, 19815, 14066])).
% 15.43/10.67 tff(19818,plain,
% 15.43/10.67 ((~![VarCurr: $i] : ((~v126(VarCurr)) <=> v111(VarCurr))) | ((~v126(constB139)) <=> v111(constB139))),
% 15.43/10.67 inference(quant_inst,[status(thm)],[])).
% 15.43/10.67 tff(19819,plain,
% 15.43/10.67 ((~v126(constB139)) <=> v111(constB139)),
% 15.43/10.67 inference(unit_resolution,[status(thm)],[19818, 5074])).
% 15.43/10.67 tff(19820,plain,
% 15.43/10.67 ((~![VarCurr: $i] : (v111(VarCurr) <=> v26(VarCurr))) | (v111(constB139) <=> v26(constB139))),
% 15.43/10.67 inference(quant_inst,[status(thm)],[])).
% 15.43/10.67 tff(19821,plain,
% 15.43/10.67 (v111(constB139) <=> v26(constB139)),
% 15.43/10.67 inference(unit_resolution,[status(thm)],[19820, 5086])).
% 15.43/10.67 tff(19822,plain,
% 15.43/10.67 ((~![VarCurr: $i] : (~v26(VarCurr))) | (~v26(constB139))),
% 15.43/10.67 inference(quant_inst,[status(thm)],[])).
% 15.43/10.67 tff(19823,plain,
% 15.43/10.67 (~v26(constB139)),
% 15.43/10.67 inference(unit_resolution,[status(thm)],[19822, 5098])).
% 15.43/10.67 tff(19824,plain,
% 15.43/10.67 ((~(v111(constB139) <=> v26(constB139))) | (~v111(constB139)) | v26(constB139)),
% 15.43/10.67 inference(tautology,[status(thm)],[])).
% 15.43/10.67 tff(19825,plain,
% 15.43/10.67 ((~(v111(constB139) <=> v26(constB139))) | (~v111(constB139))),
% 15.43/10.67 inference(unit_resolution,[status(thm)],[19824, 19823])).
% 15.43/10.67 tff(19826,plain,
% 15.43/10.67 (~v111(constB139)),
% 15.43/10.67 inference(unit_resolution,[status(thm)],[19825, 19821])).
% 15.43/10.67 tff(19827,plain,
% 15.43/10.67 ((~((~v126(constB139)) <=> v111(constB139))) | v126(constB139) | v111(constB139)),
% 15.43/10.67 inference(tautology,[status(thm)],[])).
% 15.43/10.67 tff(19828,plain,
% 15.43/10.67 ((~((~v126(constB139)) <=> v111(constB139))) | v126(constB139)),
% 15.43/10.67 inference(unit_resolution,[status(thm)],[19827, 19826])).
% 15.43/10.67 tff(19829,plain,
% 15.43/10.67 (v126(constB139)),
% 15.43/10.67 inference(unit_resolution,[status(thm)],[19828, 19819])).
% 15.43/10.67 tff(19830,plain,
% 15.43/10.67 ((~((~v113(constB139)) | (~v126(constB139)))) | (~v113(constB139)) | (~v126(constB139))),
% 15.43/10.67 inference(tautology,[status(thm)],[])).
% 15.43/10.67 tff(19831,plain,
% 15.43/10.67 ((~((~v113(constB139)) | (~v126(constB139)))) | (~v113(constB139))),
% 15.43/10.67 inference(unit_resolution,[status(thm)],[19830, 19829])).
% 15.43/10.67 tff(19832,plain,
% 15.43/10.67 (~((~v113(constB139)) | (~v126(constB139)))),
% 15.43/10.67 inference(unit_resolution,[status(thm)],[19831, 19817])).
% 15.43/10.67 tff(19833,plain,
% 15.43/10.67 ((~(v112(constB139) <=> (~((~v113(constB139)) | (~v126(constB139)))))) | v112(constB139) | ((~v113(constB139)) | (~v126(constB139)))),
% 15.43/10.67 inference(tautology,[status(thm)],[])).
% 15.43/10.67 tff(19834,plain,
% 15.43/10.67 (v112(constB139)),
% 15.43/10.67 inference(unit_resolution,[status(thm)],[19833, 19832, 14064])).
% 15.43/10.67 tff(19835,plain,
% 15.43/10.67 ((v111(constB139) | v112(constB139)) | (~v112(constB139))),
% 15.43/10.67 inference(tautology,[status(thm)],[])).
% 15.43/10.67 tff(19836,plain,
% 15.43/10.67 (v111(constB139) | v112(constB139)),
% 15.43/10.67 inference(unit_resolution,[status(thm)],[19835, 19834])).
% 15.43/10.67 tff(19837,plain,
% 15.43/10.67 ((~(v108(constB139) <=> (v111(constB139) | v112(constB139)))) | v108(constB139) | (~(v111(constB139) | v112(constB139)))),
% 15.43/10.67 inference(tautology,[status(thm)],[])).
% 15.43/10.67 tff(19838,plain,
% 15.43/10.67 (v108(constB139)),
% 15.43/10.67 inference(unit_resolution,[status(thm)],[19837, 19836, 14062])).
% 15.43/10.67 tff(19839,plain,
% 15.43/10.67 ((~(v110(constB140) <=> v108(constB139))) | v110(constB140) | (~v108(constB139))),
% 15.43/10.67 inference(tautology,[status(thm)],[])).
% 15.43/10.67 tff(19840,plain,
% 15.43/10.67 (v110(constB140)),
% 15.43/10.67 inference(unit_resolution,[status(thm)],[19839, 19838, 14060])).
% 15.43/10.67 tff(19841,plain,
% 15.43/10.67 ((~((~v101(constB140)) | (~v110(constB140)))) | (~v101(constB140)) | (~v110(constB140))),
% 15.43/10.67 inference(tautology,[status(thm)],[])).
% 15.43/10.67 tff(19842,plain,
% 15.43/10.67 (~((~v101(constB140)) | (~v110(constB140)))),
% 15.43/10.67 inference(unit_resolution,[status(thm)],[19841, 19840, 14056])).
% 15.43/10.67 tff(19843,plain,
% 15.43/10.67 ((~(v100(constB140) <=> (~((~v101(constB140)) | (~v110(constB140)))))) | v100(constB140) | ((~v101(constB140)) | (~v110(constB140)))),
% 15.43/10.67 inference(tautology,[status(thm)],[])).
% 15.43/10.67 tff(19844,plain,
% 15.43/10.67 (v100(constB140)),
% 15.43/10.67 inference(unit_resolution,[status(thm)],[19843, 19842, 14025])).
% 15.43/10.67 tff(19845,plain,
% 15.43/10.67 (((~![VarNext: $i] : ((~v100(VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v129(VarNext, B))))) | ((~v100(constB140)) | ![B: $i] : ((~less_3(B)) | (v90(constB140, B) <=> v129(constB140, B))))) <=> ((~![VarNext: $i] : ((~v100(VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v129(VarNext, B))))) | (~v100(constB140)) | ![B: $i] : ((~less_3(B)) | (v90(constB140, B) <=> v129(constB140, B))))),
% 15.43/10.67 inference(rewrite,[status(thm)],[])).
% 15.43/10.67 tff(19846,plain,
% 15.43/10.67 ((~![VarNext: $i] : ((~v100(VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v129(VarNext, B))))) | ((~v100(constB140)) | ![B: $i] : ((~less_3(B)) | (v90(constB140, B) <=> v129(constB140, B))))),
% 15.43/10.67 inference(quant_inst,[status(thm)],[])).
% 15.43/10.67 tff(19847,plain,
% 15.43/10.67 ((~![VarNext: $i] : ((~v100(VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v129(VarNext, B))))) | (~v100(constB140)) | ![B: $i] : ((~less_3(B)) | (v90(constB140, B) <=> v129(constB140, B)))),
% 15.43/10.67 inference(modus_ponens,[status(thm)],[19846, 19845])).
% 15.43/10.67 tff(19848,plain,
% 15.43/10.67 ((~v100(constB140)) | ![B: $i] : ((~less_3(B)) | (v90(constB140, B) <=> v129(constB140, B)))),
% 15.43/10.67 inference(unit_resolution,[status(thm)],[19847, 5134])).
% 15.43/10.67 tff(19849,plain,
% 15.43/10.67 (![B: $i] : ((~less_3(B)) | (v90(constB140, B) <=> v129(constB140, B)))),
% 15.43/10.67 inference(unit_resolution,[status(thm)],[19848, 19844])).
% 15.43/10.67 tff(19850,plain,
% 15.43/10.67 (((~![B: $i] : ((~less_3(B)) | (v90(constB140, B) <=> v129(constB140, B)))) | ((~less_3(bitIndex2)) | (v90(constB140, bitIndex2) <=> v129(constB140, bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v90(constB140, B) <=> v129(constB140, B)))) | (~less_3(bitIndex2)) | (v90(constB140, bitIndex2) <=> v129(constB140, bitIndex2)))),
% 15.43/10.67 inference(rewrite,[status(thm)],[])).
% 15.43/10.67 tff(19851,plain,
% 15.43/10.67 ((~![B: $i] : ((~less_3(B)) | (v90(constB140, B) <=> v129(constB140, B)))) | ((~less_3(bitIndex2)) | (v90(constB140, bitIndex2) <=> v129(constB140, bitIndex2)))),
% 15.43/10.67 inference(quant_inst,[status(thm)],[])).
% 15.43/10.67 tff(19852,plain,
% 15.43/10.67 ((~![B: $i] : ((~less_3(B)) | (v90(constB140, B) <=> v129(constB140, B)))) | (~less_3(bitIndex2)) | (v90(constB140, bitIndex2) <=> v129(constB140, bitIndex2))),
% 15.43/10.67 inference(modus_ponens,[status(thm)],[19851, 19850])).
% 15.43/10.67 tff(19853,plain,
% 15.43/10.67 (v90(constB140, bitIndex2) <=> v129(constB140, bitIndex2)),
% 15.43/10.67 inference(unit_resolution,[status(thm)],[19852, 413, 19849])).
% 15.43/10.67 tff(19854,plain,
% 15.43/10.67 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v129(VarNext, B) <=> v127(VarCurr, B))))) | ((~nextState(constB139, constB140)) | ![B: $i] : ((~less_3(B)) | (v129(constB140, B) <=> v127(constB139, B))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v129(VarNext, B) <=> v127(VarCurr, B))))) | (~nextState(constB139, constB140)) | ![B: $i] : ((~less_3(B)) | (v129(constB140, B) <=> v127(constB139, B))))),
% 15.43/10.67 inference(rewrite,[status(thm)],[])).
% 15.43/10.67 tff(19855,plain,
% 15.43/10.67 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v129(VarNext, B) <=> v127(VarCurr, B))))) | ((~nextState(constB139, constB140)) | ![B: $i] : ((~less_3(B)) | (v129(constB140, B) <=> v127(constB139, B))))),
% 15.43/10.67 inference(quant_inst,[status(thm)],[])).
% 15.43/10.67 tff(19856,plain,
% 15.43/10.67 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v129(VarNext, B) <=> v127(VarCurr, B))))) | (~nextState(constB139, constB140)) | ![B: $i] : ((~less_3(B)) | (v129(constB140, B) <=> v127(constB139, B)))),
% 15.43/10.67 inference(modus_ponens,[status(thm)],[19855, 19854])).
% 15.43/10.67 tff(19857,plain,
% 15.43/10.67 (![B: $i] : ((~less_3(B)) | (v129(constB140, B) <=> v127(constB139, B)))),
% 15.43/10.67 inference(unit_resolution,[status(thm)],[19856, 14021, 5156])).
% 15.43/10.67 tff(19858,plain,
% 15.43/10.67 (((~![B: $i] : ((~less_3(B)) | (v129(constB140, B) <=> v127(constB139, B)))) | ((~less_3(bitIndex2)) | (v129(constB140, bitIndex2) <=> v127(constB139, bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v129(constB140, B) <=> v127(constB139, B)))) | (~less_3(bitIndex2)) | (v129(constB140, bitIndex2) <=> v127(constB139, bitIndex2)))),
% 15.43/10.67 inference(rewrite,[status(thm)],[])).
% 15.43/10.67 tff(19859,plain,
% 15.43/10.67 ((~![B: $i] : ((~less_3(B)) | (v129(constB140, B) <=> v127(constB139, B)))) | ((~less_3(bitIndex2)) | (v129(constB140, bitIndex2) <=> v127(constB139, bitIndex2)))),
% 15.43/10.67 inference(quant_inst,[status(thm)],[])).
% 15.43/10.67 tff(19860,plain,
% 15.43/10.67 ((~![B: $i] : ((~less_3(B)) | (v129(constB140, B) <=> v127(constB139, B)))) | (~less_3(bitIndex2)) | (v129(constB140, bitIndex2) <=> v127(constB139, bitIndex2))),
% 15.43/10.67 inference(modus_ponens,[status(thm)],[19859, 19858])).
% 15.43/10.67 tff(19861,plain,
% 15.43/10.67 (v129(constB140, bitIndex2) <=> v127(constB139, bitIndex2)),
% 15.43/10.67 inference(unit_resolution,[status(thm)],[19860, 413, 19857])).
% 15.43/10.67 tff(19862,plain,
% 15.43/10.67 (((~![VarCurr: $i] : (v111(VarCurr) | ![B: $i] : ((~less_3(B)) | (v127(VarCurr, B) <=> v130(VarCurr, B))))) | (v111(constB139) | ![B: $i] : ((~less_3(B)) | (v127(constB139, B) <=> v130(constB139, B))))) <=> ((~![VarCurr: $i] : (v111(VarCurr) | ![B: $i] : ((~less_3(B)) | (v127(VarCurr, B) <=> v130(VarCurr, B))))) | v111(constB139) | ![B: $i] : ((~less_3(B)) | (v127(constB139, B) <=> v130(constB139, B))))),
% 15.43/10.67 inference(rewrite,[status(thm)],[])).
% 15.43/10.67 tff(19863,plain,
% 15.43/10.67 ((~![VarCurr: $i] : (v111(VarCurr) | ![B: $i] : ((~less_3(B)) | (v127(VarCurr, B) <=> v130(VarCurr, B))))) | (v111(constB139) | ![B: $i] : ((~less_3(B)) | (v127(constB139, B) <=> v130(constB139, B))))),
% 15.43/10.67 inference(quant_inst,[status(thm)],[])).
% 15.43/10.67 tff(19864,plain,
% 15.43/10.67 ((~![VarCurr: $i] : (v111(VarCurr) | ![B: $i] : ((~less_3(B)) | (v127(VarCurr, B) <=> v130(VarCurr, B))))) | v111(constB139) | ![B: $i] : ((~less_3(B)) | (v127(constB139, B) <=> v130(constB139, B)))),
% 15.43/10.67 inference(modus_ponens,[status(thm)],[19863, 19862])).
% 15.43/10.67 tff(19865,plain,
% 15.43/10.67 (![B: $i] : ((~less_3(B)) | (v127(constB139, B) <=> v130(constB139, B)))),
% 15.43/10.67 inference(unit_resolution,[status(thm)],[19864, 5177, 19826])).
% 15.43/10.67 tff(19866,plain,
% 15.43/10.67 (((~![B: $i] : ((~less_3(B)) | (v127(constB139, B) <=> v130(constB139, B)))) | ((~less_3(bitIndex2)) | (v127(constB139, bitIndex2) <=> v130(constB139, bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v127(constB139, B) <=> v130(constB139, B)))) | (~less_3(bitIndex2)) | (v127(constB139, bitIndex2) <=> v130(constB139, bitIndex2)))),
% 15.43/10.67 inference(rewrite,[status(thm)],[])).
% 15.43/10.67 tff(19867,plain,
% 15.43/10.67 ((~![B: $i] : ((~less_3(B)) | (v127(constB139, B) <=> v130(constB139, B)))) | ((~less_3(bitIndex2)) | (v127(constB139, bitIndex2) <=> v130(constB139, bitIndex2)))),
% 15.43/10.68 inference(quant_inst,[status(thm)],[])).
% 15.43/10.68 tff(19868,plain,
% 15.43/10.68 ((~![B: $i] : ((~less_3(B)) | (v127(constB139, B) <=> v130(constB139, B)))) | (~less_3(bitIndex2)) | (v127(constB139, bitIndex2) <=> v130(constB139, bitIndex2))),
% 15.43/10.68 inference(modus_ponens,[status(thm)],[19867, 19866])).
% 15.43/10.68 tff(19869,plain,
% 15.43/10.68 (v127(constB139, bitIndex2) <=> v130(constB139, bitIndex2)),
% 15.43/10.68 inference(unit_resolution,[status(thm)],[19868, 413, 19865])).
% 15.43/10.68 tff(19870,plain,
% 15.43/10.68 (((~![VarCurr: $i] : ((~v121(VarCurr)) | ![B: $i] : ((~less_3(B)) | (v130(VarCurr, B) <=> b011(B))))) | ((~v121(constB139)) | ![B: $i] : ((~less_3(B)) | (v130(constB139, B) <=> b011(B))))) <=> ((~![VarCurr: $i] : ((~v121(VarCurr)) | ![B: $i] : ((~less_3(B)) | (v130(VarCurr, B) <=> b011(B))))) | (~v121(constB139)) | ![B: $i] : ((~less_3(B)) | (v130(constB139, B) <=> b011(B))))),
% 15.43/10.68 inference(rewrite,[status(thm)],[])).
% 15.43/10.68 tff(19871,plain,
% 15.43/10.68 ((~![VarCurr: $i] : ((~v121(VarCurr)) | ![B: $i] : ((~less_3(B)) | (v130(VarCurr, B) <=> b011(B))))) | ((~v121(constB139)) | ![B: $i] : ((~less_3(B)) | (v130(constB139, B) <=> b011(B))))),
% 15.43/10.68 inference(quant_inst,[status(thm)],[])).
% 15.43/10.68 tff(19872,plain,
% 15.43/10.68 ((~![VarCurr: $i] : ((~v121(VarCurr)) | ![B: $i] : ((~less_3(B)) | (v130(VarCurr, B) <=> b011(B))))) | (~v121(constB139)) | ![B: $i] : ((~less_3(B)) | (v130(constB139, B) <=> b011(B)))),
% 15.43/10.68 inference(modus_ponens,[status(thm)],[19871, 19870])).
% 15.43/10.68 tff(19873,plain,
% 15.43/10.68 ((~v121(constB139)) | ![B: $i] : ((~less_3(B)) | (v130(constB139, B) <=> b011(B)))),
% 15.43/10.68 inference(unit_resolution,[status(thm)],[19872, 5977])).
% 15.43/10.68 tff(19874,plain,
% 15.43/10.68 (![B: $i] : ((~less_3(B)) | (v130(constB139, B) <=> b011(B)))),
% 15.43/10.68 inference(unit_resolution,[status(thm)],[19873, 19797])).
% 15.43/10.68 tff(19875,plain,
% 15.43/10.68 (((~![B: $i] : ((~less_3(B)) | (v130(constB139, B) <=> b011(B)))) | ((~less_3(bitIndex2)) | (v130(constB139, bitIndex2) <=> b011(bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v130(constB139, B) <=> b011(B)))) | (~less_3(bitIndex2)) | (v130(constB139, bitIndex2) <=> b011(bitIndex2)))),
% 15.43/10.68 inference(rewrite,[status(thm)],[])).
% 15.43/10.68 tff(19876,plain,
% 15.43/10.68 ((~![B: $i] : ((~less_3(B)) | (v130(constB139, B) <=> b011(B)))) | ((~less_3(bitIndex2)) | (v130(constB139, bitIndex2) <=> b011(bitIndex2)))),
% 15.43/10.68 inference(quant_inst,[status(thm)],[])).
% 15.43/10.68 tff(19877,plain,
% 15.43/10.68 ((~![B: $i] : ((~less_3(B)) | (v130(constB139, B) <=> b011(B)))) | (~less_3(bitIndex2)) | (v130(constB139, bitIndex2) <=> b011(bitIndex2))),
% 15.43/10.68 inference(modus_ponens,[status(thm)],[19876, 19875])).
% 15.43/10.68 tff(19878,plain,
% 15.43/10.68 (v130(constB139, bitIndex2) <=> b011(bitIndex2)),
% 15.43/10.68 inference(unit_resolution,[status(thm)],[19877, 413, 19874])).
% 15.43/10.68 tff(19879,plain,
% 15.43/10.68 ((~(v130(constB139, bitIndex2) <=> b011(bitIndex2))) | (~v130(constB139, bitIndex2)) | b011(bitIndex2)),
% 15.43/10.68 inference(tautology,[status(thm)],[])).
% 15.43/10.68 tff(19880,plain,
% 15.43/10.68 ((~(v130(constB139, bitIndex2) <=> b011(bitIndex2))) | (~v130(constB139, bitIndex2))),
% 15.43/10.68 inference(unit_resolution,[status(thm)],[19879, 5989])).
% 15.43/10.68 tff(19881,plain,
% 15.43/10.68 (~v130(constB139, bitIndex2)),
% 15.43/10.68 inference(unit_resolution,[status(thm)],[19880, 19878])).
% 15.43/10.68 tff(19882,plain,
% 15.43/10.68 ((~(v127(constB139, bitIndex2) <=> v130(constB139, bitIndex2))) | (~v127(constB139, bitIndex2)) | v130(constB139, bitIndex2)),
% 15.43/10.68 inference(tautology,[status(thm)],[])).
% 15.43/10.68 tff(19883,plain,
% 15.43/10.68 (~v127(constB139, bitIndex2)),
% 15.43/10.68 inference(unit_resolution,[status(thm)],[19882, 19881, 19869])).
% 15.43/10.68 tff(19884,plain,
% 15.43/10.68 ((~(v129(constB140, bitIndex2) <=> v127(constB139, bitIndex2))) | (~v129(constB140, bitIndex2)) | v127(constB139, bitIndex2)),
% 15.43/10.68 inference(tautology,[status(thm)],[])).
% 15.43/10.68 tff(19885,plain,
% 15.43/10.68 (~v129(constB140, bitIndex2)),
% 15.43/10.68 inference(unit_resolution,[status(thm)],[19884, 19883, 19861])).
% 15.43/10.68 tff(19886,plain,
% 15.43/10.68 ((~(v90(constB140, bitIndex2) <=> v129(constB140, bitIndex2))) | (~v90(constB140, bitIndex2)) | v129(constB140, bitIndex2)),
% 15.43/10.68 inference(tautology,[status(thm)],[])).
% 15.43/10.68 tff(19887,plain,
% 15.43/10.68 (~v90(constB140, bitIndex2)),
% 15.43/10.68 inference(unit_resolution,[status(thm)],[19886, 19885, 19853])).
% 15.43/10.68 tff(19888,plain,
% 15.43/10.68 ((~(v90(constB141, bitIndex2) <=> v90(constB140, bitIndex2))) | (~v90(constB141, bitIndex2)) | v90(constB140, bitIndex2)),
% 15.43/10.68 inference(tautology,[status(thm)],[])).
% 15.43/10.68 tff(19889,plain,
% 15.43/10.68 (~v90(constB141, bitIndex2)),
% 15.43/10.68 inference(unit_resolution,[status(thm)],[19888, 19887, 14018])).
% 15.43/10.68 tff(19890,plain,
% 15.43/10.68 (((~![B: $i] : ((~less_3(B)) | (v90(constB141, B) <=> v90(constB140, B)))) | ((~less_3(bitIndex0)) | (v90(constB141, bitIndex0) <=> v90(constB140, bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v90(constB141, B) <=> v90(constB140, B)))) | (~less_3(bitIndex0)) | (v90(constB141, bitIndex0) <=> v90(constB140, bitIndex0)))),
% 15.43/10.68 inference(rewrite,[status(thm)],[])).
% 15.43/10.68 tff(19891,plain,
% 15.43/10.68 ((~![B: $i] : ((~less_3(B)) | (v90(constB141, B) <=> v90(constB140, B)))) | ((~less_3(bitIndex0)) | (v90(constB141, bitIndex0) <=> v90(constB140, bitIndex0)))),
% 15.43/10.68 inference(quant_inst,[status(thm)],[])).
% 15.43/10.68 tff(19892,plain,
% 15.43/10.68 ((~![B: $i] : ((~less_3(B)) | (v90(constB141, B) <=> v90(constB140, B)))) | (~less_3(bitIndex0)) | (v90(constB141, bitIndex0) <=> v90(constB140, bitIndex0))),
% 15.43/10.68 inference(modus_ponens,[status(thm)],[19891, 19890])).
% 15.43/10.68 tff(19893,plain,
% 15.43/10.68 (v90(constB141, bitIndex0) <=> v90(constB140, bitIndex0)),
% 15.43/10.68 inference(unit_resolution,[status(thm)],[19892, 5004, 14014])).
% 15.43/10.68 tff(19894,plain,
% 15.43/10.68 (((~![B: $i] : ((~less_3(B)) | (v90(constB140, B) <=> v129(constB140, B)))) | ((~less_3(bitIndex0)) | (v90(constB140, bitIndex0) <=> v129(constB140, bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v90(constB140, B) <=> v129(constB140, B)))) | (~less_3(bitIndex0)) | (v90(constB140, bitIndex0) <=> v129(constB140, bitIndex0)))),
% 15.43/10.68 inference(rewrite,[status(thm)],[])).
% 15.43/10.68 tff(19895,plain,
% 15.43/10.68 ((~![B: $i] : ((~less_3(B)) | (v90(constB140, B) <=> v129(constB140, B)))) | ((~less_3(bitIndex0)) | (v90(constB140, bitIndex0) <=> v129(constB140, bitIndex0)))),
% 15.43/10.68 inference(quant_inst,[status(thm)],[])).
% 15.43/10.68 tff(19896,plain,
% 15.43/10.68 ((~![B: $i] : ((~less_3(B)) | (v90(constB140, B) <=> v129(constB140, B)))) | (~less_3(bitIndex0)) | (v90(constB140, bitIndex0) <=> v129(constB140, bitIndex0))),
% 15.43/10.68 inference(modus_ponens,[status(thm)],[19895, 19894])).
% 15.43/10.68 tff(19897,plain,
% 15.43/10.68 (v90(constB140, bitIndex0) <=> v129(constB140, bitIndex0)),
% 15.43/10.68 inference(unit_resolution,[status(thm)],[19896, 5004, 19849])).
% 15.43/10.68 tff(19898,plain,
% 15.43/10.68 (((~![B: $i] : ((~less_3(B)) | (v129(constB140, B) <=> v127(constB139, B)))) | ((~less_3(bitIndex0)) | (v129(constB140, bitIndex0) <=> v127(constB139, bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v129(constB140, B) <=> v127(constB139, B)))) | (~less_3(bitIndex0)) | (v129(constB140, bitIndex0) <=> v127(constB139, bitIndex0)))),
% 15.43/10.68 inference(rewrite,[status(thm)],[])).
% 15.43/10.68 tff(19899,plain,
% 15.43/10.68 ((~![B: $i] : ((~less_3(B)) | (v129(constB140, B) <=> v127(constB139, B)))) | ((~less_3(bitIndex0)) | (v129(constB140, bitIndex0) <=> v127(constB139, bitIndex0)))),
% 15.43/10.68 inference(quant_inst,[status(thm)],[])).
% 15.43/10.68 tff(19900,plain,
% 15.43/10.68 ((~![B: $i] : ((~less_3(B)) | (v129(constB140, B) <=> v127(constB139, B)))) | (~less_3(bitIndex0)) | (v129(constB140, bitIndex0) <=> v127(constB139, bitIndex0))),
% 15.43/10.68 inference(modus_ponens,[status(thm)],[19899, 19898])).
% 15.43/10.68 tff(19901,plain,
% 15.43/10.68 (v129(constB140, bitIndex0) <=> v127(constB139, bitIndex0)),
% 15.43/10.68 inference(unit_resolution,[status(thm)],[19900, 5004, 19857])).
% 15.43/10.68 tff(19902,plain,
% 15.43/10.68 (((~![B: $i] : ((~less_3(B)) | (v127(constB139, B) <=> v130(constB139, B)))) | ((~less_3(bitIndex0)) | (v127(constB139, bitIndex0) <=> v130(constB139, bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v127(constB139, B) <=> v130(constB139, B)))) | (~less_3(bitIndex0)) | (v127(constB139, bitIndex0) <=> v130(constB139, bitIndex0)))),
% 15.43/10.68 inference(rewrite,[status(thm)],[])).
% 15.43/10.68 tff(19903,plain,
% 15.43/10.68 ((~![B: $i] : ((~less_3(B)) | (v127(constB139, B) <=> v130(constB139, B)))) | ((~less_3(bitIndex0)) | (v127(constB139, bitIndex0) <=> v130(constB139, bitIndex0)))),
% 15.43/10.68 inference(quant_inst,[status(thm)],[])).
% 15.43/10.68 tff(19904,plain,
% 15.43/10.68 ((~![B: $i] : ((~less_3(B)) | (v127(constB139, B) <=> v130(constB139, B)))) | (~less_3(bitIndex0)) | (v127(constB139, bitIndex0) <=> v130(constB139, bitIndex0))),
% 15.43/10.68 inference(modus_ponens,[status(thm)],[19903, 19902])).
% 15.43/10.68 tff(19905,plain,
% 15.43/10.68 (v127(constB139, bitIndex0) <=> v130(constB139, bitIndex0)),
% 15.43/10.68 inference(unit_resolution,[status(thm)],[19904, 5004, 19865])).
% 15.43/10.68 tff(19906,plain,
% 15.43/10.68 (((~![B: $i] : ((~less_3(B)) | (v130(constB139, B) <=> b011(B)))) | ((~less_3(bitIndex0)) | (v130(constB139, bitIndex0) <=> b011(bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v130(constB139, B) <=> b011(B)))) | (~less_3(bitIndex0)) | (v130(constB139, bitIndex0) <=> b011(bitIndex0)))),
% 15.43/10.68 inference(rewrite,[status(thm)],[])).
% 15.43/10.68 tff(19907,plain,
% 15.43/10.68 ((~![B: $i] : ((~less_3(B)) | (v130(constB139, B) <=> b011(B)))) | ((~less_3(bitIndex0)) | (v130(constB139, bitIndex0) <=> b011(bitIndex0)))),
% 15.43/10.68 inference(quant_inst,[status(thm)],[])).
% 15.43/10.68 tff(19908,plain,
% 15.43/10.68 ((~![B: $i] : ((~less_3(B)) | (v130(constB139, B) <=> b011(B)))) | (~less_3(bitIndex0)) | (v130(constB139, bitIndex0) <=> b011(bitIndex0))),
% 15.43/10.68 inference(modus_ponens,[status(thm)],[19907, 19906])).
% 15.43/10.68 tff(19909,plain,
% 15.43/10.68 (v130(constB139, bitIndex0) <=> b011(bitIndex0)),
% 15.43/10.68 inference(unit_resolution,[status(thm)],[19908, 5004, 19874])).
% 15.43/10.68 tff(19910,plain,
% 15.43/10.68 ((~(v130(constB139, bitIndex0) <=> b011(bitIndex0))) | v130(constB139, bitIndex0) | (~b011(bitIndex0))),
% 15.43/10.68 inference(tautology,[status(thm)],[])).
% 15.43/10.68 tff(19911,plain,
% 15.43/10.68 ((~(v130(constB139, bitIndex0) <=> b011(bitIndex0))) | v130(constB139, bitIndex0)),
% 15.43/10.68 inference(unit_resolution,[status(thm)],[19910, 6023])).
% 15.43/10.68 tff(19912,plain,
% 15.43/10.68 (v130(constB139, bitIndex0)),
% 15.43/10.68 inference(unit_resolution,[status(thm)],[19911, 19909])).
% 15.43/10.68 tff(19913,plain,
% 15.43/10.68 ((~(v127(constB139, bitIndex0) <=> v130(constB139, bitIndex0))) | v127(constB139, bitIndex0) | (~v130(constB139, bitIndex0))),
% 15.43/10.68 inference(tautology,[status(thm)],[])).
% 15.43/10.68 tff(19914,plain,
% 15.43/10.68 (v127(constB139, bitIndex0)),
% 15.43/10.68 inference(unit_resolution,[status(thm)],[19913, 19912, 19905])).
% 15.43/10.68 tff(19915,plain,
% 15.43/10.68 ((~(v129(constB140, bitIndex0) <=> v127(constB139, bitIndex0))) | v129(constB140, bitIndex0) | (~v127(constB139, bitIndex0))),
% 15.43/10.68 inference(tautology,[status(thm)],[])).
% 15.43/10.68 tff(19916,plain,
% 15.43/10.68 (v129(constB140, bitIndex0)),
% 15.43/10.68 inference(unit_resolution,[status(thm)],[19915, 19914, 19901])).
% 15.43/10.68 tff(19917,plain,
% 15.43/10.68 ((~(v90(constB140, bitIndex0) <=> v129(constB140, bitIndex0))) | v90(constB140, bitIndex0) | (~v129(constB140, bitIndex0))),
% 15.43/10.68 inference(tautology,[status(thm)],[])).
% 15.43/10.68 tff(19918,plain,
% 15.43/10.68 (v90(constB140, bitIndex0)),
% 15.43/10.68 inference(unit_resolution,[status(thm)],[19917, 19916, 19897])).
% 15.43/10.68 tff(19919,plain,
% 15.43/10.68 ((~(v90(constB141, bitIndex0) <=> v90(constB140, bitIndex0))) | v90(constB141, bitIndex0) | (~v90(constB140, bitIndex0))),
% 15.43/10.68 inference(tautology,[status(thm)],[])).
% 15.43/10.68 tff(19920,plain,
% 15.43/10.68 (v90(constB141, bitIndex0)),
% 15.43/10.68 inference(unit_resolution,[status(thm)],[19919, 19918, 19893])).
% 15.43/10.68 tff(19921,plain,
% 15.43/10.68 (((~![B: $i] : ((~less_3(B)) | (v90(constB141, B) <=> v90(constB140, B)))) | ((~less_3(bitIndex1)) | (v90(constB141, bitIndex1) <=> v90(constB140, bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v90(constB141, B) <=> v90(constB140, B)))) | (~less_3(bitIndex1)) | (v90(constB141, bitIndex1) <=> v90(constB140, bitIndex1)))),
% 15.43/10.68 inference(rewrite,[status(thm)],[])).
% 15.43/10.68 tff(19922,plain,
% 15.43/10.68 ((~![B: $i] : ((~less_3(B)) | (v90(constB141, B) <=> v90(constB140, B)))) | ((~less_3(bitIndex1)) | (v90(constB141, bitIndex1) <=> v90(constB140, bitIndex1)))),
% 15.43/10.68 inference(quant_inst,[status(thm)],[])).
% 15.43/10.68 tff(19923,plain,
% 15.43/10.68 ((~![B: $i] : ((~less_3(B)) | (v90(constB141, B) <=> v90(constB140, B)))) | (~less_3(bitIndex1)) | (v90(constB141, bitIndex1) <=> v90(constB140, bitIndex1))),
% 15.43/10.68 inference(modus_ponens,[status(thm)],[19922, 19921])).
% 15.43/10.68 tff(19924,plain,
% 15.43/10.68 (v90(constB141, bitIndex1) <=> v90(constB140, bitIndex1)),
% 15.43/10.68 inference(unit_resolution,[status(thm)],[19923, 5017, 14014])).
% 15.43/10.68 tff(19925,plain,
% 15.43/10.68 (((~![B: $i] : ((~less_3(B)) | (v90(constB140, B) <=> v129(constB140, B)))) | ((~less_3(bitIndex1)) | (v90(constB140, bitIndex1) <=> v129(constB140, bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v90(constB140, B) <=> v129(constB140, B)))) | (~less_3(bitIndex1)) | (v90(constB140, bitIndex1) <=> v129(constB140, bitIndex1)))),
% 15.43/10.68 inference(rewrite,[status(thm)],[])).
% 15.43/10.68 tff(19926,plain,
% 15.43/10.68 ((~![B: $i] : ((~less_3(B)) | (v90(constB140, B) <=> v129(constB140, B)))) | ((~less_3(bitIndex1)) | (v90(constB140, bitIndex1) <=> v129(constB140, bitIndex1)))),
% 15.43/10.68 inference(quant_inst,[status(thm)],[])).
% 15.43/10.68 tff(19927,plain,
% 15.43/10.68 ((~![B: $i] : ((~less_3(B)) | (v90(constB140, B) <=> v129(constB140, B)))) | (~less_3(bitIndex1)) | (v90(constB140, bitIndex1) <=> v129(constB140, bitIndex1))),
% 15.43/10.68 inference(modus_ponens,[status(thm)],[19926, 19925])).
% 15.43/10.68 tff(19928,plain,
% 15.43/10.68 (v90(constB140, bitIndex1) <=> v129(constB140, bitIndex1)),
% 15.43/10.68 inference(unit_resolution,[status(thm)],[19927, 5017, 19849])).
% 15.43/10.68 tff(19929,plain,
% 15.43/10.68 (((~![B: $i] : ((~less_3(B)) | (v129(constB140, B) <=> v127(constB139, B)))) | ((~less_3(bitIndex1)) | (v129(constB140, bitIndex1) <=> v127(constB139, bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v129(constB140, B) <=> v127(constB139, B)))) | (~less_3(bitIndex1)) | (v129(constB140, bitIndex1) <=> v127(constB139, bitIndex1)))),
% 15.43/10.68 inference(rewrite,[status(thm)],[])).
% 15.43/10.68 tff(19930,plain,
% 15.43/10.68 ((~![B: $i] : ((~less_3(B)) | (v129(constB140, B) <=> v127(constB139, B)))) | ((~less_3(bitIndex1)) | (v129(constB140, bitIndex1) <=> v127(constB139, bitIndex1)))),
% 15.43/10.68 inference(quant_inst,[status(thm)],[])).
% 15.43/10.68 tff(19931,plain,
% 15.43/10.68 ((~![B: $i] : ((~less_3(B)) | (v129(constB140, B) <=> v127(constB139, B)))) | (~less_3(bitIndex1)) | (v129(constB140, bitIndex1) <=> v127(constB139, bitIndex1))),
% 15.43/10.68 inference(modus_ponens,[status(thm)],[19930, 19929])).
% 15.43/10.68 tff(19932,plain,
% 15.43/10.68 (v129(constB140, bitIndex1) <=> v127(constB139, bitIndex1)),
% 15.43/10.68 inference(unit_resolution,[status(thm)],[19931, 5017, 19857])).
% 15.43/10.68 tff(19933,plain,
% 15.43/10.68 (((~![B: $i] : ((~less_3(B)) | (v127(constB139, B) <=> v130(constB139, B)))) | ((~less_3(bitIndex1)) | (v127(constB139, bitIndex1) <=> v130(constB139, bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v127(constB139, B) <=> v130(constB139, B)))) | (~less_3(bitIndex1)) | (v127(constB139, bitIndex1) <=> v130(constB139, bitIndex1)))),
% 15.43/10.68 inference(rewrite,[status(thm)],[])).
% 15.43/10.68 tff(19934,plain,
% 15.43/10.68 ((~![B: $i] : ((~less_3(B)) | (v127(constB139, B) <=> v130(constB139, B)))) | ((~less_3(bitIndex1)) | (v127(constB139, bitIndex1) <=> v130(constB139, bitIndex1)))),
% 15.43/10.68 inference(quant_inst,[status(thm)],[])).
% 15.43/10.68 tff(19935,plain,
% 15.43/10.68 ((~![B: $i] : ((~less_3(B)) | (v127(constB139, B) <=> v130(constB139, B)))) | (~less_3(bitIndex1)) | (v127(constB139, bitIndex1) <=> v130(constB139, bitIndex1))),
% 15.43/10.68 inference(modus_ponens,[status(thm)],[19934, 19933])).
% 15.43/10.68 tff(19936,plain,
% 15.43/10.68 (v127(constB139, bitIndex1) <=> v130(constB139, bitIndex1)),
% 15.43/10.68 inference(unit_resolution,[status(thm)],[19935, 5017, 19865])).
% 15.43/10.68 tff(19937,plain,
% 15.43/10.68 (((~![B: $i] : ((~less_3(B)) | (v130(constB139, B) <=> b011(B)))) | ((~less_3(bitIndex1)) | (v130(constB139, bitIndex1) <=> b011(bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v130(constB139, B) <=> b011(B)))) | (~less_3(bitIndex1)) | (v130(constB139, bitIndex1) <=> b011(bitIndex1)))),
% 15.43/10.68 inference(rewrite,[status(thm)],[])).
% 15.43/10.68 tff(19938,plain,
% 15.43/10.68 ((~![B: $i] : ((~less_3(B)) | (v130(constB139, B) <=> b011(B)))) | ((~less_3(bitIndex1)) | (v130(constB139, bitIndex1) <=> b011(bitIndex1)))),
% 15.43/10.68 inference(quant_inst,[status(thm)],[])).
% 15.43/10.68 tff(19939,plain,
% 15.43/10.68 ((~![B: $i] : ((~less_3(B)) | (v130(constB139, B) <=> b011(B)))) | (~less_3(bitIndex1)) | (v130(constB139, bitIndex1) <=> b011(bitIndex1))),
% 15.43/10.68 inference(modus_ponens,[status(thm)],[19938, 19937])).
% 15.43/10.68 tff(19940,plain,
% 15.43/10.68 (v130(constB139, bitIndex1) <=> b011(bitIndex1)),
% 15.43/10.68 inference(unit_resolution,[status(thm)],[19939, 5017, 19874])).
% 15.43/10.68 tff(19941,plain,
% 15.43/10.68 ((~(v130(constB139, bitIndex1) <=> b011(bitIndex1))) | v130(constB139, bitIndex1) | (~b011(bitIndex1))),
% 15.43/10.68 inference(tautology,[status(thm)],[])).
% 15.43/10.68 tff(19942,plain,
% 15.43/10.68 ((~(v130(constB139, bitIndex1) <=> b011(bitIndex1))) | v130(constB139, bitIndex1)),
% 15.43/10.68 inference(unit_resolution,[status(thm)],[19941, 6057])).
% 15.43/10.68 tff(19943,plain,
% 15.43/10.68 (v130(constB139, bitIndex1)),
% 15.43/10.68 inference(unit_resolution,[status(thm)],[19942, 19940])).
% 15.43/10.68 tff(19944,plain,
% 15.43/10.68 ((~(v127(constB139, bitIndex1) <=> v130(constB139, bitIndex1))) | v127(constB139, bitIndex1) | (~v130(constB139, bitIndex1))),
% 15.43/10.68 inference(tautology,[status(thm)],[])).
% 15.43/10.68 tff(19945,plain,
% 15.43/10.68 (v127(constB139, bitIndex1)),
% 15.43/10.68 inference(unit_resolution,[status(thm)],[19944, 19943, 19936])).
% 15.43/10.68 tff(19946,plain,
% 15.43/10.68 ((~(v129(constB140, bitIndex1) <=> v127(constB139, bitIndex1))) | v129(constB140, bitIndex1) | (~v127(constB139, bitIndex1))),
% 15.43/10.68 inference(tautology,[status(thm)],[])).
% 15.43/10.68 tff(19947,plain,
% 15.43/10.68 (v129(constB140, bitIndex1)),
% 15.43/10.68 inference(unit_resolution,[status(thm)],[19946, 19945, 19932])).
% 15.43/10.68 tff(19948,plain,
% 15.43/10.68 ((~(v90(constB140, bitIndex1) <=> v129(constB140, bitIndex1))) | v90(constB140, bitIndex1) | (~v129(constB140, bitIndex1))),
% 15.43/10.68 inference(tautology,[status(thm)],[])).
% 15.43/10.68 tff(19949,plain,
% 15.43/10.68 (v90(constB140, bitIndex1)),
% 15.43/10.68 inference(unit_resolution,[status(thm)],[19948, 19947, 19928])).
% 15.43/10.68 tff(19950,plain,
% 15.43/10.68 ((~(v90(constB141, bitIndex1) <=> v90(constB140, bitIndex1))) | v90(constB141, bitIndex1) | (~v90(constB140, bitIndex1))),
% 15.43/10.68 inference(tautology,[status(thm)],[])).
% 15.43/10.68 tff(19951,plain,
% 15.43/10.68 (v90(constB141, bitIndex1)),
% 15.43/10.68 inference(unit_resolution,[status(thm)],[19950, 19949, 19924])).
% 15.43/10.68 tff(19952,plain,
% 15.43/10.68 ((~(v90(constB141, bitIndex2) | (~v90(constB141, bitIndex1)) | (~v90(constB141, bitIndex0)))) | v90(constB141, bitIndex2) | (~v90(constB141, bitIndex1)) | (~v90(constB141, bitIndex0))),
% 15.43/10.68 inference(tautology,[status(thm)],[])).
% 15.43/10.68 tff(19953,plain,
% 15.43/10.68 (~(v90(constB141, bitIndex2) | (~v90(constB141, bitIndex1)) | (~v90(constB141, bitIndex0)))),
% 15.43/10.68 inference(unit_resolution,[status(thm)],[19952, 19951, 19920, 19889])).
% 15.43/10.68 tff(19954,plain,
% 15.43/10.68 ((~(v122(constB141) <=> (~(v90(constB141, bitIndex2) | (~v90(constB141, bitIndex1)) | (~v90(constB141, bitIndex0)))))) | v122(constB141) | (v90(constB141, bitIndex2) | (~v90(constB141, bitIndex1)) | (~v90(constB141, bitIndex0)))),
% 15.43/10.68 inference(tautology,[status(thm)],[])).
% 15.43/10.68 tff(19955,plain,
% 15.43/10.68 (v122(constB141)),
% 15.43/10.68 inference(unit_resolution,[status(thm)],[19954, 19953, 13986])).
% 15.43/10.68 tff(19956,plain,
% 15.43/10.68 ((v117(constB141) | v122(constB141)) | (~v122(constB141))),
% 15.43/10.68 inference(tautology,[status(thm)],[])).
% 15.43/10.68 tff(19957,plain,
% 15.43/10.68 (v117(constB141) | v122(constB141)),
% 15.43/10.68 inference(unit_resolution,[status(thm)],[19956, 19955])).
% 15.43/10.68 tff(19958,plain,
% 15.43/10.68 ((~(v116(constB141) <=> (v117(constB141) | v122(constB141)))) | v116(constB141) | (~(v117(constB141) | v122(constB141)))),
% 15.43/10.68 inference(tautology,[status(thm)],[])).
% 15.43/10.68 tff(19959,plain,
% 15.43/10.68 (v116(constB141)),
% 15.43/10.68 inference(unit_resolution,[status(thm)],[19958, 19957, 13979])).
% 15.43/10.68 tff(19960,plain,
% 15.43/10.68 ((v116(constB141) | v123(constB141)) | (~v116(constB141))),
% 15.43/10.68 inference(tautology,[status(thm)],[])).
% 15.43/10.68 tff(19961,plain,
% 15.43/10.68 (v116(constB141) | v123(constB141)),
% 15.43/10.68 inference(unit_resolution,[status(thm)],[19960, 19959])).
% 15.43/10.68 tff(19962,plain,
% 15.43/10.68 ((~(v115(constB141) <=> (v116(constB141) | v123(constB141)))) | v115(constB141) | (~(v116(constB141) | v123(constB141)))),
% 15.43/10.68 inference(tautology,[status(thm)],[])).
% 15.43/10.68 tff(19963,plain,
% 15.43/10.68 (v115(constB141)),
% 15.43/10.68 inference(unit_resolution,[status(thm)],[19962, 19961, 13977])).
% 15.43/10.68 tff(19964,plain,
% 15.43/10.68 ((v115(constB141) | v124(constB141)) | (~v115(constB141))),
% 15.43/10.68 inference(tautology,[status(thm)],[])).
% 15.43/10.68 tff(19965,plain,
% 15.43/10.68 (v115(constB141) | v124(constB141)),
% 15.43/10.68 inference(unit_resolution,[status(thm)],[19964, 19963])).
% 15.43/10.68 tff(19966,plain,
% 15.43/10.68 ((~(v114(constB141) <=> (v115(constB141) | v124(constB141)))) | v114(constB141) | (~(v115(constB141) | v124(constB141)))),
% 15.43/10.68 inference(tautology,[status(thm)],[])).
% 15.43/10.68 tff(19967,plain,
% 15.43/10.68 (v114(constB141)),
% 15.43/10.68 inference(unit_resolution,[status(thm)],[19966, 19965, 13975])).
% 15.43/10.68 tff(19968,plain,
% 15.43/10.68 ((v114(constB141) | v125(constB141)) | (~v114(constB141))),
% 15.43/10.68 inference(tautology,[status(thm)],[])).
% 15.43/10.68 tff(19969,plain,
% 15.43/10.68 (v114(constB141) | v125(constB141)),
% 15.43/10.68 inference(unit_resolution,[status(thm)],[19968, 19967])).
% 15.43/10.68 tff(19970,plain,
% 15.43/10.68 ((~(v113(constB141) <=> (v114(constB141) | v125(constB141)))) | v113(constB141) | (~(v114(constB141) | v125(constB141)))),
% 15.43/10.68 inference(tautology,[status(thm)],[])).
% 15.43/10.68 tff(19971,plain,
% 15.43/10.68 (v113(constB141)),
% 15.43/10.68 inference(unit_resolution,[status(thm)],[19970, 19969, 13973])).
% 15.43/10.68 tff(19972,plain,
% 15.43/10.68 ((~![VarCurr: $i] : ((~v126(VarCurr)) <=> v111(VarCurr))) | ((~v126(constB141)) <=> v111(constB141))),
% 15.43/10.68 inference(quant_inst,[status(thm)],[])).
% 15.43/10.68 tff(19973,plain,
% 15.43/10.68 ((~v126(constB141)) <=> v111(constB141)),
% 15.43/10.68 inference(unit_resolution,[status(thm)],[19972, 5074])).
% 15.43/10.68 tff(19974,plain,
% 15.43/10.68 ((~![VarCurr: $i] : (v111(VarCurr) <=> v26(VarCurr))) | (v111(constB141) <=> v26(constB141))),
% 15.43/10.68 inference(quant_inst,[status(thm)],[])).
% 15.43/10.68 tff(19975,plain,
% 15.43/10.68 (v111(constB141) <=> v26(constB141)),
% 15.43/10.68 inference(unit_resolution,[status(thm)],[19974, 5086])).
% 15.43/10.68 tff(19976,plain,
% 15.43/10.68 ((~![VarCurr: $i] : (~v26(VarCurr))) | (~v26(constB141))),
% 15.43/10.68 inference(quant_inst,[status(thm)],[])).
% 15.43/10.68 tff(19977,plain,
% 15.43/10.68 (~v26(constB141)),
% 15.43/10.68 inference(unit_resolution,[status(thm)],[19976, 5098])).
% 15.43/10.68 tff(19978,plain,
% 15.43/10.68 ((~(v111(constB141) <=> v26(constB141))) | (~v111(constB141)) | v26(constB141)),
% 15.43/10.68 inference(tautology,[status(thm)],[])).
% 15.43/10.68 tff(19979,plain,
% 15.43/10.68 ((~(v111(constB141) <=> v26(constB141))) | (~v111(constB141))),
% 15.43/10.68 inference(unit_resolution,[status(thm)],[19978, 19977])).
% 15.43/10.68 tff(19980,plain,
% 15.43/10.68 (~v111(constB141)),
% 15.43/10.68 inference(unit_resolution,[status(thm)],[19979, 19975])).
% 15.43/10.68 tff(19981,plain,
% 15.43/10.68 ((~((~v126(constB141)) <=> v111(constB141))) | v126(constB141) | v111(constB141)),
% 15.43/10.68 inference(tautology,[status(thm)],[])).
% 15.43/10.68 tff(19982,plain,
% 15.43/10.68 ((~((~v126(constB141)) <=> v111(constB141))) | v126(constB141)),
% 15.43/10.68 inference(unit_resolution,[status(thm)],[19981, 19980])).
% 15.43/10.68 tff(19983,plain,
% 15.43/10.68 (v126(constB141)),
% 15.43/10.68 inference(unit_resolution,[status(thm)],[19982, 19973])).
% 15.43/10.68 tff(19984,plain,
% 15.43/10.68 ((~((~v113(constB141)) | (~v126(constB141)))) | (~v113(constB141)) | (~v126(constB141))),
% 15.43/10.68 inference(tautology,[status(thm)],[])).
% 15.43/10.68 tff(19985,plain,
% 15.43/10.68 ((~((~v113(constB141)) | (~v126(constB141)))) | (~v113(constB141))),
% 15.43/10.68 inference(unit_resolution,[status(thm)],[19984, 19983])).
% 15.43/10.68 tff(19986,plain,
% 15.43/10.68 (~((~v113(constB141)) | (~v126(constB141)))),
% 15.43/10.68 inference(unit_resolution,[status(thm)],[19985, 19971])).
% 15.43/10.68 tff(19987,plain,
% 15.43/10.68 ((~(v112(constB141) <=> (~((~v113(constB141)) | (~v126(constB141)))))) | v112(constB141) | ((~v113(constB141)) | (~v126(constB141)))),
% 15.43/10.68 inference(tautology,[status(thm)],[])).
% 15.43/10.68 tff(19988,plain,
% 15.43/10.68 (v112(constB141)),
% 15.43/10.68 inference(unit_resolution,[status(thm)],[19987, 19986, 13971])).
% 15.43/10.68 tff(19989,plain,
% 15.43/10.68 ((v111(constB141) | v112(constB141)) | (~v112(constB141))),
% 15.43/10.68 inference(tautology,[status(thm)],[])).
% 15.43/10.68 tff(19990,plain,
% 15.43/10.68 (v111(constB141) | v112(constB141)),
% 15.43/10.68 inference(unit_resolution,[status(thm)],[19989, 19988])).
% 15.43/10.68 tff(19991,plain,
% 15.43/10.68 ((~(v108(constB141) <=> (v111(constB141) | v112(constB141)))) | v108(constB141) | (~(v111(constB141) | v112(constB141)))),
% 15.43/10.68 inference(tautology,[status(thm)],[])).
% 15.43/10.68 tff(19992,plain,
% 15.43/10.68 (v108(constB141)),
% 15.43/10.68 inference(unit_resolution,[status(thm)],[19991, 19990, 13969])).
% 15.43/10.68 tff(19993,plain,
% 15.43/10.68 ((~(v110(constB142) <=> v108(constB141))) | v110(constB142) | (~v108(constB141))),
% 15.43/10.68 inference(tautology,[status(thm)],[])).
% 15.43/10.68 tff(19994,plain,
% 15.43/10.68 (v110(constB142)),
% 15.43/10.68 inference(unit_resolution,[status(thm)],[19993, 19992, 13967])).
% 15.43/10.68 tff(19995,plain,
% 15.43/10.68 ((~((~v101(constB142)) | (~v110(constB142)))) | (~v101(constB142)) | (~v110(constB142))),
% 15.43/10.68 inference(tautology,[status(thm)],[])).
% 15.43/10.68 tff(19996,plain,
% 15.43/10.68 (~((~v101(constB142)) | (~v110(constB142)))),
% 15.43/10.68 inference(unit_resolution,[status(thm)],[19995, 19994, 13963])).
% 15.43/10.68 tff(19997,plain,
% 15.43/10.68 ((~(v100(constB142) <=> (~((~v101(constB142)) | (~v110(constB142)))))) | v100(constB142) | ((~v101(constB142)) | (~v110(constB142)))),
% 15.43/10.68 inference(tautology,[status(thm)],[])).
% 15.43/10.68 tff(19998,plain,
% 15.43/10.68 (v100(constB142)),
% 15.43/10.68 inference(unit_resolution,[status(thm)],[19997, 19996, 13932])).
% 15.43/10.68 tff(19999,plain,
% 15.43/10.68 (((~![VarNext: $i] : ((~v100(VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v129(VarNext, B))))) | ((~v100(constB142)) | ![B: $i] : ((~less_3(B)) | (v90(constB142, B) <=> v129(constB142, B))))) <=> ((~![VarNext: $i] : ((~v100(VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v129(VarNext, B))))) | (~v100(constB142)) | ![B: $i] : ((~less_3(B)) | (v90(constB142, B) <=> v129(constB142, B))))),
% 15.43/10.68 inference(rewrite,[status(thm)],[])).
% 15.43/10.68 tff(20000,plain,
% 15.43/10.68 ((~![VarNext: $i] : ((~v100(VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v129(VarNext, B))))) | ((~v100(constB142)) | ![B: $i] : ((~less_3(B)) | (v90(constB142, B) <=> v129(constB142, B))))),
% 15.43/10.68 inference(quant_inst,[status(thm)],[])).
% 15.43/10.68 tff(20001,plain,
% 15.43/10.68 ((~![VarNext: $i] : ((~v100(VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v129(VarNext, B))))) | (~v100(constB142)) | ![B: $i] : ((~less_3(B)) | (v90(constB142, B) <=> v129(constB142, B)))),
% 15.43/10.68 inference(modus_ponens,[status(thm)],[20000, 19999])).
% 15.43/10.68 tff(20002,plain,
% 15.43/10.68 ((~v100(constB142)) | ![B: $i] : ((~less_3(B)) | (v90(constB142, B) <=> v129(constB142, B)))),
% 15.43/10.68 inference(unit_resolution,[status(thm)],[20001, 5134])).
% 15.43/10.68 tff(20003,plain,
% 15.43/10.68 (![B: $i] : ((~less_3(B)) | (v90(constB142, B) <=> v129(constB142, B)))),
% 15.43/10.68 inference(unit_resolution,[status(thm)],[20002, 19998])).
% 15.43/10.68 tff(20004,plain,
% 15.43/10.68 (((~![B: $i] : ((~less_3(B)) | (v90(constB142, B) <=> v129(constB142, B)))) | ((~less_3(bitIndex2)) | (v90(constB142, bitIndex2) <=> v129(constB142, bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v90(constB142, B) <=> v129(constB142, B)))) | (~less_3(bitIndex2)) | (v90(constB142, bitIndex2) <=> v129(constB142, bitIndex2)))),
% 15.43/10.68 inference(rewrite,[status(thm)],[])).
% 15.43/10.68 tff(20005,plain,
% 15.43/10.68 ((~![B: $i] : ((~less_3(B)) | (v90(constB142, B) <=> v129(constB142, B)))) | ((~less_3(bitIndex2)) | (v90(constB142, bitIndex2) <=> v129(constB142, bitIndex2)))),
% 15.43/10.68 inference(quant_inst,[status(thm)],[])).
% 15.43/10.68 tff(20006,plain,
% 15.43/10.68 ((~![B: $i] : ((~less_3(B)) | (v90(constB142, B) <=> v129(constB142, B)))) | (~less_3(bitIndex2)) | (v90(constB142, bitIndex2) <=> v129(constB142, bitIndex2))),
% 15.43/10.68 inference(modus_ponens,[status(thm)],[20005, 20004])).
% 15.43/10.68 tff(20007,plain,
% 15.43/10.68 (v90(constB142, bitIndex2) <=> v129(constB142, bitIndex2)),
% 15.43/10.68 inference(unit_resolution,[status(thm)],[20006, 413, 20003])).
% 15.43/10.68 tff(20008,plain,
% 15.43/10.68 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v129(VarNext, B) <=> v127(VarCurr, B))))) | ((~nextState(constB141, constB142)) | ![B: $i] : ((~less_3(B)) | (v129(constB142, B) <=> v127(constB141, B))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v129(VarNext, B) <=> v127(VarCurr, B))))) | (~nextState(constB141, constB142)) | ![B: $i] : ((~less_3(B)) | (v129(constB142, B) <=> v127(constB141, B))))),
% 15.43/10.68 inference(rewrite,[status(thm)],[])).
% 15.43/10.68 tff(20009,plain,
% 15.43/10.68 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v129(VarNext, B) <=> v127(VarCurr, B))))) | ((~nextState(constB141, constB142)) | ![B: $i] : ((~less_3(B)) | (v129(constB142, B) <=> v127(constB141, B))))),
% 15.43/10.68 inference(quant_inst,[status(thm)],[])).
% 15.43/10.68 tff(20010,plain,
% 15.43/10.68 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v129(VarNext, B) <=> v127(VarCurr, B))))) | (~nextState(constB141, constB142)) | ![B: $i] : ((~less_3(B)) | (v129(constB142, B) <=> v127(constB141, B)))),
% 15.43/10.68 inference(modus_ponens,[status(thm)],[20009, 20008])).
% 15.43/10.68 tff(20011,plain,
% 15.43/10.68 (![B: $i] : ((~less_3(B)) | (v129(constB142, B) <=> v127(constB141, B)))),
% 15.43/10.68 inference(unit_resolution,[status(thm)],[20010, 13928, 5156])).
% 15.43/10.68 tff(20012,plain,
% 15.43/10.68 (((~![B: $i] : ((~less_3(B)) | (v129(constB142, B) <=> v127(constB141, B)))) | ((~less_3(bitIndex2)) | (v129(constB142, bitIndex2) <=> v127(constB141, bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v129(constB142, B) <=> v127(constB141, B)))) | (~less_3(bitIndex2)) | (v129(constB142, bitIndex2) <=> v127(constB141, bitIndex2)))),
% 15.43/10.68 inference(rewrite,[status(thm)],[])).
% 15.43/10.68 tff(20013,plain,
% 15.43/10.68 ((~![B: $i] : ((~less_3(B)) | (v129(constB142, B) <=> v127(constB141, B)))) | ((~less_3(bitIndex2)) | (v129(constB142, bitIndex2) <=> v127(constB141, bitIndex2)))),
% 15.43/10.69 inference(quant_inst,[status(thm)],[])).
% 15.43/10.69 tff(20014,plain,
% 15.43/10.69 ((~![B: $i] : ((~less_3(B)) | (v129(constB142, B) <=> v127(constB141, B)))) | (~less_3(bitIndex2)) | (v129(constB142, bitIndex2) <=> v127(constB141, bitIndex2))),
% 15.43/10.69 inference(modus_ponens,[status(thm)],[20013, 20012])).
% 15.43/10.69 tff(20015,plain,
% 15.43/10.69 (v129(constB142, bitIndex2) <=> v127(constB141, bitIndex2)),
% 15.43/10.69 inference(unit_resolution,[status(thm)],[20014, 413, 20011])).
% 15.43/10.69 tff(20016,plain,
% 15.43/10.69 (((~![VarCurr: $i] : (v111(VarCurr) | ![B: $i] : ((~less_3(B)) | (v127(VarCurr, B) <=> v130(VarCurr, B))))) | (v111(constB141) | ![B: $i] : ((~less_3(B)) | (v127(constB141, B) <=> v130(constB141, B))))) <=> ((~![VarCurr: $i] : (v111(VarCurr) | ![B: $i] : ((~less_3(B)) | (v127(VarCurr, B) <=> v130(VarCurr, B))))) | v111(constB141) | ![B: $i] : ((~less_3(B)) | (v127(constB141, B) <=> v130(constB141, B))))),
% 15.43/10.69 inference(rewrite,[status(thm)],[])).
% 15.43/10.69 tff(20017,plain,
% 15.43/10.69 ((~![VarCurr: $i] : (v111(VarCurr) | ![B: $i] : ((~less_3(B)) | (v127(VarCurr, B) <=> v130(VarCurr, B))))) | (v111(constB141) | ![B: $i] : ((~less_3(B)) | (v127(constB141, B) <=> v130(constB141, B))))),
% 15.43/10.69 inference(quant_inst,[status(thm)],[])).
% 15.43/10.69 tff(20018,plain,
% 15.43/10.69 ((~![VarCurr: $i] : (v111(VarCurr) | ![B: $i] : ((~less_3(B)) | (v127(VarCurr, B) <=> v130(VarCurr, B))))) | v111(constB141) | ![B: $i] : ((~less_3(B)) | (v127(constB141, B) <=> v130(constB141, B)))),
% 15.43/10.69 inference(modus_ponens,[status(thm)],[20017, 20016])).
% 15.43/10.69 tff(20019,plain,
% 15.43/10.69 (![B: $i] : ((~less_3(B)) | (v127(constB141, B) <=> v130(constB141, B)))),
% 15.43/10.69 inference(unit_resolution,[status(thm)],[20018, 5177, 19980])).
% 15.43/10.69 tff(20020,plain,
% 15.43/10.69 (((~![B: $i] : ((~less_3(B)) | (v127(constB141, B) <=> v130(constB141, B)))) | ((~less_3(bitIndex2)) | (v127(constB141, bitIndex2) <=> v130(constB141, bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v127(constB141, B) <=> v130(constB141, B)))) | (~less_3(bitIndex2)) | (v127(constB141, bitIndex2) <=> v130(constB141, bitIndex2)))),
% 15.43/10.69 inference(rewrite,[status(thm)],[])).
% 15.43/10.69 tff(20021,plain,
% 15.43/10.69 ((~![B: $i] : ((~less_3(B)) | (v127(constB141, B) <=> v130(constB141, B)))) | ((~less_3(bitIndex2)) | (v127(constB141, bitIndex2) <=> v130(constB141, bitIndex2)))),
% 15.43/10.69 inference(quant_inst,[status(thm)],[])).
% 15.43/10.69 tff(20022,plain,
% 15.43/10.69 ((~![B: $i] : ((~less_3(B)) | (v127(constB141, B) <=> v130(constB141, B)))) | (~less_3(bitIndex2)) | (v127(constB141, bitIndex2) <=> v130(constB141, bitIndex2))),
% 15.43/10.69 inference(modus_ponens,[status(thm)],[20021, 20020])).
% 15.43/10.69 tff(20023,plain,
% 15.43/10.69 (v127(constB141, bitIndex2) <=> v130(constB141, bitIndex2)),
% 15.43/10.69 inference(unit_resolution,[status(thm)],[20022, 413, 20019])).
% 15.43/10.69 tff(20024,plain,
% 15.43/10.69 (((~![VarCurr: $i] : ((~v122(VarCurr)) | ![B: $i] : ((~less_3(B)) | (v130(VarCurr, B) <=> b100(B))))) | ((~v122(constB141)) | ![B: $i] : ((~less_3(B)) | (v130(constB141, B) <=> b100(B))))) <=> ((~![VarCurr: $i] : ((~v122(VarCurr)) | ![B: $i] : ((~less_3(B)) | (v130(VarCurr, B) <=> b100(B))))) | (~v122(constB141)) | ![B: $i] : ((~less_3(B)) | (v130(constB141, B) <=> b100(B))))),
% 15.43/10.69 inference(rewrite,[status(thm)],[])).
% 15.43/10.69 tff(20025,plain,
% 15.43/10.69 ((~![VarCurr: $i] : ((~v122(VarCurr)) | ![B: $i] : ((~less_3(B)) | (v130(VarCurr, B) <=> b100(B))))) | ((~v122(constB141)) | ![B: $i] : ((~less_3(B)) | (v130(constB141, B) <=> b100(B))))),
% 15.43/10.69 inference(quant_inst,[status(thm)],[])).
% 15.43/10.69 tff(20026,plain,
% 15.43/10.69 ((~![VarCurr: $i] : ((~v122(VarCurr)) | ![B: $i] : ((~less_3(B)) | (v130(VarCurr, B) <=> b100(B))))) | (~v122(constB141)) | ![B: $i] : ((~less_3(B)) | (v130(constB141, B) <=> b100(B)))),
% 15.43/10.69 inference(modus_ponens,[status(thm)],[20025, 20024])).
% 15.43/10.69 tff(20027,plain,
% 15.43/10.69 ((~v122(constB141)) | ![B: $i] : ((~less_3(B)) | (v130(constB141, B) <=> b100(B)))),
% 15.43/10.69 inference(unit_resolution,[status(thm)],[20026, 6153])).
% 15.43/10.69 tff(20028,plain,
% 15.43/10.69 (![B: $i] : ((~less_3(B)) | (v130(constB141, B) <=> b100(B)))),
% 15.43/10.69 inference(unit_resolution,[status(thm)],[20027, 19955])).
% 15.43/10.69 tff(20029,plain,
% 15.43/10.69 (((~![B: $i] : ((~less_3(B)) | (v130(constB141, B) <=> b100(B)))) | ((~less_3(bitIndex2)) | (v130(constB141, bitIndex2) <=> b100(bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v130(constB141, B) <=> b100(B)))) | (~less_3(bitIndex2)) | (v130(constB141, bitIndex2) <=> b100(bitIndex2)))),
% 15.43/10.69 inference(rewrite,[status(thm)],[])).
% 15.43/10.69 tff(20030,plain,
% 15.43/10.69 ((~![B: $i] : ((~less_3(B)) | (v130(constB141, B) <=> b100(B)))) | ((~less_3(bitIndex2)) | (v130(constB141, bitIndex2) <=> b100(bitIndex2)))),
% 15.43/10.69 inference(quant_inst,[status(thm)],[])).
% 15.43/10.69 tff(20031,plain,
% 15.43/10.69 ((~![B: $i] : ((~less_3(B)) | (v130(constB141, B) <=> b100(B)))) | (~less_3(bitIndex2)) | (v130(constB141, bitIndex2) <=> b100(bitIndex2))),
% 15.43/10.69 inference(modus_ponens,[status(thm)],[20030, 20029])).
% 15.43/10.69 tff(20032,plain,
% 15.43/10.69 (v130(constB141, bitIndex2) <=> b100(bitIndex2)),
% 15.43/10.69 inference(unit_resolution,[status(thm)],[20031, 413, 20028])).
% 15.43/10.69 tff(20033,plain,
% 15.43/10.69 ((~(v130(constB141, bitIndex2) <=> b100(bitIndex2))) | v130(constB141, bitIndex2) | (~b100(bitIndex2))),
% 15.43/10.69 inference(tautology,[status(thm)],[])).
% 15.43/10.69 tff(20034,plain,
% 15.43/10.69 ((~(v130(constB141, bitIndex2) <=> b100(bitIndex2))) | v130(constB141, bitIndex2)),
% 15.43/10.69 inference(unit_resolution,[status(thm)],[20033, 5209])).
% 15.43/10.69 tff(20035,plain,
% 15.43/10.69 (v130(constB141, bitIndex2)),
% 15.43/10.69 inference(unit_resolution,[status(thm)],[20034, 20032])).
% 15.43/10.69 tff(20036,plain,
% 15.43/10.69 ((~(v127(constB141, bitIndex2) <=> v130(constB141, bitIndex2))) | v127(constB141, bitIndex2) | (~v130(constB141, bitIndex2))),
% 15.43/10.69 inference(tautology,[status(thm)],[])).
% 15.43/10.69 tff(20037,plain,
% 15.43/10.69 (v127(constB141, bitIndex2)),
% 15.43/10.69 inference(unit_resolution,[status(thm)],[20036, 20035, 20023])).
% 15.43/10.69 tff(20038,plain,
% 15.43/10.69 ((~(v129(constB142, bitIndex2) <=> v127(constB141, bitIndex2))) | v129(constB142, bitIndex2) | (~v127(constB141, bitIndex2))),
% 15.43/10.69 inference(tautology,[status(thm)],[])).
% 15.43/10.69 tff(20039,plain,
% 15.43/10.69 (v129(constB142, bitIndex2)),
% 15.43/10.69 inference(unit_resolution,[status(thm)],[20038, 20037, 20015])).
% 15.43/10.69 tff(20040,plain,
% 15.43/10.69 ((~(v90(constB142, bitIndex2) <=> v129(constB142, bitIndex2))) | v90(constB142, bitIndex2) | (~v129(constB142, bitIndex2))),
% 15.43/10.69 inference(tautology,[status(thm)],[])).
% 15.43/10.69 tff(20041,plain,
% 15.43/10.69 (v90(constB142, bitIndex2)),
% 15.43/10.69 inference(unit_resolution,[status(thm)],[20040, 20039, 20007])).
% 15.43/10.69 tff(20042,plain,
% 15.43/10.69 ((~(v90(constB143, bitIndex2) <=> v90(constB142, bitIndex2))) | v90(constB143, bitIndex2) | (~v90(constB142, bitIndex2))),
% 15.43/10.69 inference(tautology,[status(thm)],[])).
% 15.43/10.69 tff(20043,plain,
% 15.43/10.69 (v90(constB143, bitIndex2)),
% 15.43/10.69 inference(unit_resolution,[status(thm)],[20042, 20041, 13925])).
% 15.43/10.69 tff(20044,plain,
% 15.43/10.69 (((~![B: $i] : ((~less_3(B)) | (v90(constB143, B) <=> v90(constB142, B)))) | ((~less_3(bitIndex0)) | (v90(constB143, bitIndex0) <=> v90(constB142, bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v90(constB143, B) <=> v90(constB142, B)))) | (~less_3(bitIndex0)) | (v90(constB143, bitIndex0) <=> v90(constB142, bitIndex0)))),
% 15.43/10.69 inference(rewrite,[status(thm)],[])).
% 15.43/10.69 tff(20045,plain,
% 15.43/10.69 ((~![B: $i] : ((~less_3(B)) | (v90(constB143, B) <=> v90(constB142, B)))) | ((~less_3(bitIndex0)) | (v90(constB143, bitIndex0) <=> v90(constB142, bitIndex0)))),
% 15.43/10.69 inference(quant_inst,[status(thm)],[])).
% 15.43/10.69 tff(20046,plain,
% 15.43/10.69 ((~![B: $i] : ((~less_3(B)) | (v90(constB143, B) <=> v90(constB142, B)))) | (~less_3(bitIndex0)) | (v90(constB143, bitIndex0) <=> v90(constB142, bitIndex0))),
% 15.43/10.69 inference(modus_ponens,[status(thm)],[20045, 20044])).
% 15.43/10.69 tff(20047,plain,
% 15.43/10.69 (v90(constB143, bitIndex0) <=> v90(constB142, bitIndex0)),
% 15.43/10.69 inference(unit_resolution,[status(thm)],[20046, 5004, 13921])).
% 15.43/10.69 tff(20048,plain,
% 15.43/10.69 (((~![B: $i] : ((~less_3(B)) | (v90(constB142, B) <=> v129(constB142, B)))) | ((~less_3(bitIndex0)) | (v90(constB142, bitIndex0) <=> v129(constB142, bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v90(constB142, B) <=> v129(constB142, B)))) | (~less_3(bitIndex0)) | (v90(constB142, bitIndex0) <=> v129(constB142, bitIndex0)))),
% 15.43/10.69 inference(rewrite,[status(thm)],[])).
% 15.43/10.69 tff(20049,plain,
% 15.43/10.69 ((~![B: $i] : ((~less_3(B)) | (v90(constB142, B) <=> v129(constB142, B)))) | ((~less_3(bitIndex0)) | (v90(constB142, bitIndex0) <=> v129(constB142, bitIndex0)))),
% 15.43/10.69 inference(quant_inst,[status(thm)],[])).
% 15.43/10.69 tff(20050,plain,
% 15.43/10.69 ((~![B: $i] : ((~less_3(B)) | (v90(constB142, B) <=> v129(constB142, B)))) | (~less_3(bitIndex0)) | (v90(constB142, bitIndex0) <=> v129(constB142, bitIndex0))),
% 15.43/10.69 inference(modus_ponens,[status(thm)],[20049, 20048])).
% 15.43/10.69 tff(20051,plain,
% 15.43/10.69 (v90(constB142, bitIndex0) <=> v129(constB142, bitIndex0)),
% 15.43/10.69 inference(unit_resolution,[status(thm)],[20050, 5004, 20003])).
% 15.43/10.69 tff(20052,plain,
% 15.43/10.69 (((~![B: $i] : ((~less_3(B)) | (v129(constB142, B) <=> v127(constB141, B)))) | ((~less_3(bitIndex0)) | (v129(constB142, bitIndex0) <=> v127(constB141, bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v129(constB142, B) <=> v127(constB141, B)))) | (~less_3(bitIndex0)) | (v129(constB142, bitIndex0) <=> v127(constB141, bitIndex0)))),
% 15.43/10.69 inference(rewrite,[status(thm)],[])).
% 15.43/10.69 tff(20053,plain,
% 15.43/10.69 ((~![B: $i] : ((~less_3(B)) | (v129(constB142, B) <=> v127(constB141, B)))) | ((~less_3(bitIndex0)) | (v129(constB142, bitIndex0) <=> v127(constB141, bitIndex0)))),
% 15.43/10.69 inference(quant_inst,[status(thm)],[])).
% 15.43/10.69 tff(20054,plain,
% 15.43/10.69 ((~![B: $i] : ((~less_3(B)) | (v129(constB142, B) <=> v127(constB141, B)))) | (~less_3(bitIndex0)) | (v129(constB142, bitIndex0) <=> v127(constB141, bitIndex0))),
% 15.43/10.69 inference(modus_ponens,[status(thm)],[20053, 20052])).
% 15.43/10.69 tff(20055,plain,
% 15.43/10.69 (v129(constB142, bitIndex0) <=> v127(constB141, bitIndex0)),
% 15.43/10.69 inference(unit_resolution,[status(thm)],[20054, 5004, 20011])).
% 15.43/10.69 tff(20056,plain,
% 15.43/10.69 (((~![B: $i] : ((~less_3(B)) | (v127(constB141, B) <=> v130(constB141, B)))) | ((~less_3(bitIndex0)) | (v127(constB141, bitIndex0) <=> v130(constB141, bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v127(constB141, B) <=> v130(constB141, B)))) | (~less_3(bitIndex0)) | (v127(constB141, bitIndex0) <=> v130(constB141, bitIndex0)))),
% 15.43/10.69 inference(rewrite,[status(thm)],[])).
% 15.43/10.69 tff(20057,plain,
% 15.43/10.69 ((~![B: $i] : ((~less_3(B)) | (v127(constB141, B) <=> v130(constB141, B)))) | ((~less_3(bitIndex0)) | (v127(constB141, bitIndex0) <=> v130(constB141, bitIndex0)))),
% 15.43/10.69 inference(quant_inst,[status(thm)],[])).
% 15.43/10.69 tff(20058,plain,
% 15.43/10.69 ((~![B: $i] : ((~less_3(B)) | (v127(constB141, B) <=> v130(constB141, B)))) | (~less_3(bitIndex0)) | (v127(constB141, bitIndex0) <=> v130(constB141, bitIndex0))),
% 15.43/10.69 inference(modus_ponens,[status(thm)],[20057, 20056])).
% 15.43/10.69 tff(20059,plain,
% 15.43/10.69 (v127(constB141, bitIndex0) <=> v130(constB141, bitIndex0)),
% 15.43/10.69 inference(unit_resolution,[status(thm)],[20058, 5004, 20019])).
% 15.43/10.69 tff(20060,plain,
% 15.43/10.69 (((~![B: $i] : ((~less_3(B)) | (v130(constB141, B) <=> b100(B)))) | ((~less_3(bitIndex0)) | (v130(constB141, bitIndex0) <=> b100(bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v130(constB141, B) <=> b100(B)))) | (~less_3(bitIndex0)) | (v130(constB141, bitIndex0) <=> b100(bitIndex0)))),
% 15.43/10.69 inference(rewrite,[status(thm)],[])).
% 15.43/10.69 tff(20061,plain,
% 15.43/10.69 ((~![B: $i] : ((~less_3(B)) | (v130(constB141, B) <=> b100(B)))) | ((~less_3(bitIndex0)) | (v130(constB141, bitIndex0) <=> b100(bitIndex0)))),
% 15.43/10.69 inference(quant_inst,[status(thm)],[])).
% 15.43/10.69 tff(20062,plain,
% 15.43/10.69 ((~![B: $i] : ((~less_3(B)) | (v130(constB141, B) <=> b100(B)))) | (~less_3(bitIndex0)) | (v130(constB141, bitIndex0) <=> b100(bitIndex0))),
% 15.43/10.69 inference(modus_ponens,[status(thm)],[20061, 20060])).
% 15.43/10.69 tff(20063,plain,
% 15.43/10.69 (v130(constB141, bitIndex0) <=> b100(bitIndex0)),
% 15.43/10.69 inference(unit_resolution,[status(thm)],[20062, 5004, 20028])).
% 15.43/10.69 tff(20064,plain,
% 15.43/10.69 ((~(v130(constB141, bitIndex0) <=> b100(bitIndex0))) | (~v130(constB141, bitIndex0)) | b100(bitIndex0)),
% 15.43/10.69 inference(tautology,[status(thm)],[])).
% 15.43/10.69 tff(20065,plain,
% 15.43/10.69 ((~(v130(constB141, bitIndex0) <=> b100(bitIndex0))) | (~v130(constB141, bitIndex0))),
% 15.43/10.69 inference(unit_resolution,[status(thm)],[20064, 5243])).
% 15.43/10.69 tff(20066,plain,
% 15.43/10.69 (~v130(constB141, bitIndex0)),
% 15.43/10.69 inference(unit_resolution,[status(thm)],[20065, 20063])).
% 15.43/10.69 tff(20067,plain,
% 15.43/10.69 ((~(v127(constB141, bitIndex0) <=> v130(constB141, bitIndex0))) | (~v127(constB141, bitIndex0)) | v130(constB141, bitIndex0)),
% 15.43/10.69 inference(tautology,[status(thm)],[])).
% 15.43/10.69 tff(20068,plain,
% 15.43/10.69 (~v127(constB141, bitIndex0)),
% 15.43/10.69 inference(unit_resolution,[status(thm)],[20067, 20066, 20059])).
% 15.43/10.69 tff(20069,plain,
% 15.43/10.69 ((~(v129(constB142, bitIndex0) <=> v127(constB141, bitIndex0))) | (~v129(constB142, bitIndex0)) | v127(constB141, bitIndex0)),
% 15.43/10.69 inference(tautology,[status(thm)],[])).
% 15.43/10.69 tff(20070,plain,
% 15.43/10.69 (~v129(constB142, bitIndex0)),
% 15.43/10.69 inference(unit_resolution,[status(thm)],[20069, 20068, 20055])).
% 15.43/10.69 tff(20071,plain,
% 15.43/10.69 ((~(v90(constB142, bitIndex0) <=> v129(constB142, bitIndex0))) | (~v90(constB142, bitIndex0)) | v129(constB142, bitIndex0)),
% 15.43/10.69 inference(tautology,[status(thm)],[])).
% 15.43/10.69 tff(20072,plain,
% 15.43/10.69 (~v90(constB142, bitIndex0)),
% 15.43/10.69 inference(unit_resolution,[status(thm)],[20071, 20070, 20051])).
% 15.43/10.69 tff(20073,plain,
% 15.43/10.69 ((~(v90(constB143, bitIndex0) <=> v90(constB142, bitIndex0))) | (~v90(constB143, bitIndex0)) | v90(constB142, bitIndex0)),
% 15.43/10.69 inference(tautology,[status(thm)],[])).
% 15.43/10.69 tff(20074,plain,
% 15.43/10.69 (~v90(constB143, bitIndex0)),
% 15.43/10.69 inference(unit_resolution,[status(thm)],[20073, 20072, 20047])).
% 15.43/10.69 tff(20075,plain,
% 15.43/10.69 (((~![B: $i] : ((~less_3(B)) | (v90(constB143, B) <=> v90(constB142, B)))) | ((~less_3(bitIndex1)) | (v90(constB143, bitIndex1) <=> v90(constB142, bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v90(constB143, B) <=> v90(constB142, B)))) | (~less_3(bitIndex1)) | (v90(constB143, bitIndex1) <=> v90(constB142, bitIndex1)))),
% 15.43/10.69 inference(rewrite,[status(thm)],[])).
% 15.43/10.69 tff(20076,plain,
% 15.43/10.69 ((~![B: $i] : ((~less_3(B)) | (v90(constB143, B) <=> v90(constB142, B)))) | ((~less_3(bitIndex1)) | (v90(constB143, bitIndex1) <=> v90(constB142, bitIndex1)))),
% 15.43/10.69 inference(quant_inst,[status(thm)],[])).
% 15.43/10.69 tff(20077,plain,
% 15.43/10.69 ((~![B: $i] : ((~less_3(B)) | (v90(constB143, B) <=> v90(constB142, B)))) | (~less_3(bitIndex1)) | (v90(constB143, bitIndex1) <=> v90(constB142, bitIndex1))),
% 15.43/10.69 inference(modus_ponens,[status(thm)],[20076, 20075])).
% 15.43/10.69 tff(20078,plain,
% 15.43/10.69 (v90(constB143, bitIndex1) <=> v90(constB142, bitIndex1)),
% 15.43/10.69 inference(unit_resolution,[status(thm)],[20077, 5017, 13921])).
% 15.43/10.69 tff(20079,plain,
% 15.43/10.69 (((~![B: $i] : ((~less_3(B)) | (v90(constB142, B) <=> v129(constB142, B)))) | ((~less_3(bitIndex1)) | (v90(constB142, bitIndex1) <=> v129(constB142, bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v90(constB142, B) <=> v129(constB142, B)))) | (~less_3(bitIndex1)) | (v90(constB142, bitIndex1) <=> v129(constB142, bitIndex1)))),
% 15.43/10.69 inference(rewrite,[status(thm)],[])).
% 15.43/10.69 tff(20080,plain,
% 15.43/10.69 ((~![B: $i] : ((~less_3(B)) | (v90(constB142, B) <=> v129(constB142, B)))) | ((~less_3(bitIndex1)) | (v90(constB142, bitIndex1) <=> v129(constB142, bitIndex1)))),
% 15.43/10.69 inference(quant_inst,[status(thm)],[])).
% 15.43/10.69 tff(20081,plain,
% 15.43/10.69 ((~![B: $i] : ((~less_3(B)) | (v90(constB142, B) <=> v129(constB142, B)))) | (~less_3(bitIndex1)) | (v90(constB142, bitIndex1) <=> v129(constB142, bitIndex1))),
% 15.43/10.69 inference(modus_ponens,[status(thm)],[20080, 20079])).
% 15.43/10.69 tff(20082,plain,
% 15.43/10.69 (v90(constB142, bitIndex1) <=> v129(constB142, bitIndex1)),
% 15.43/10.69 inference(unit_resolution,[status(thm)],[20081, 5017, 20003])).
% 15.43/10.69 tff(20083,plain,
% 15.43/10.69 (((~![B: $i] : ((~less_3(B)) | (v129(constB142, B) <=> v127(constB141, B)))) | ((~less_3(bitIndex1)) | (v129(constB142, bitIndex1) <=> v127(constB141, bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v129(constB142, B) <=> v127(constB141, B)))) | (~less_3(bitIndex1)) | (v129(constB142, bitIndex1) <=> v127(constB141, bitIndex1)))),
% 15.43/10.69 inference(rewrite,[status(thm)],[])).
% 15.43/10.69 tff(20084,plain,
% 15.43/10.69 ((~![B: $i] : ((~less_3(B)) | (v129(constB142, B) <=> v127(constB141, B)))) | ((~less_3(bitIndex1)) | (v129(constB142, bitIndex1) <=> v127(constB141, bitIndex1)))),
% 15.43/10.69 inference(quant_inst,[status(thm)],[])).
% 15.43/10.69 tff(20085,plain,
% 15.43/10.69 ((~![B: $i] : ((~less_3(B)) | (v129(constB142, B) <=> v127(constB141, B)))) | (~less_3(bitIndex1)) | (v129(constB142, bitIndex1) <=> v127(constB141, bitIndex1))),
% 15.43/10.69 inference(modus_ponens,[status(thm)],[20084, 20083])).
% 15.43/10.69 tff(20086,plain,
% 15.43/10.69 (v129(constB142, bitIndex1) <=> v127(constB141, bitIndex1)),
% 15.43/10.69 inference(unit_resolution,[status(thm)],[20085, 5017, 20011])).
% 15.43/10.69 tff(20087,plain,
% 15.43/10.69 (((~![B: $i] : ((~less_3(B)) | (v127(constB141, B) <=> v130(constB141, B)))) | ((~less_3(bitIndex1)) | (v127(constB141, bitIndex1) <=> v130(constB141, bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v127(constB141, B) <=> v130(constB141, B)))) | (~less_3(bitIndex1)) | (v127(constB141, bitIndex1) <=> v130(constB141, bitIndex1)))),
% 15.43/10.69 inference(rewrite,[status(thm)],[])).
% 15.43/10.69 tff(20088,plain,
% 15.43/10.69 ((~![B: $i] : ((~less_3(B)) | (v127(constB141, B) <=> v130(constB141, B)))) | ((~less_3(bitIndex1)) | (v127(constB141, bitIndex1) <=> v130(constB141, bitIndex1)))),
% 15.43/10.69 inference(quant_inst,[status(thm)],[])).
% 15.43/10.69 tff(20089,plain,
% 15.43/10.69 ((~![B: $i] : ((~less_3(B)) | (v127(constB141, B) <=> v130(constB141, B)))) | (~less_3(bitIndex1)) | (v127(constB141, bitIndex1) <=> v130(constB141, bitIndex1))),
% 15.43/10.69 inference(modus_ponens,[status(thm)],[20088, 20087])).
% 15.43/10.69 tff(20090,plain,
% 15.43/10.69 (v127(constB141, bitIndex1) <=> v130(constB141, bitIndex1)),
% 15.43/10.69 inference(unit_resolution,[status(thm)],[20089, 5017, 20019])).
% 15.43/10.69 tff(20091,plain,
% 15.43/10.69 (((~![B: $i] : ((~less_3(B)) | (v130(constB141, B) <=> b100(B)))) | ((~less_3(bitIndex1)) | (v130(constB141, bitIndex1) <=> b100(bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v130(constB141, B) <=> b100(B)))) | (~less_3(bitIndex1)) | (v130(constB141, bitIndex1) <=> b100(bitIndex1)))),
% 15.43/10.69 inference(rewrite,[status(thm)],[])).
% 15.43/10.69 tff(20092,plain,
% 15.43/10.69 ((~![B: $i] : ((~less_3(B)) | (v130(constB141, B) <=> b100(B)))) | ((~less_3(bitIndex1)) | (v130(constB141, bitIndex1) <=> b100(bitIndex1)))),
% 15.43/10.69 inference(quant_inst,[status(thm)],[])).
% 15.43/10.69 tff(20093,plain,
% 15.43/10.69 ((~![B: $i] : ((~less_3(B)) | (v130(constB141, B) <=> b100(B)))) | (~less_3(bitIndex1)) | (v130(constB141, bitIndex1) <=> b100(bitIndex1))),
% 15.43/10.69 inference(modus_ponens,[status(thm)],[20092, 20091])).
% 15.43/10.69 tff(20094,plain,
% 15.43/10.69 (v130(constB141, bitIndex1) <=> b100(bitIndex1)),
% 15.43/10.69 inference(unit_resolution,[status(thm)],[20093, 5017, 20028])).
% 15.43/10.69 tff(20095,plain,
% 15.43/10.69 ((~(v130(constB141, bitIndex1) <=> b100(bitIndex1))) | (~v130(constB141, bitIndex1)) | b100(bitIndex1)),
% 15.43/10.69 inference(tautology,[status(thm)],[])).
% 15.43/10.69 tff(20096,plain,
% 15.43/10.69 ((~(v130(constB141, bitIndex1) <=> b100(bitIndex1))) | (~v130(constB141, bitIndex1))),
% 15.43/10.69 inference(unit_resolution,[status(thm)],[20095, 5277])).
% 15.43/10.69 tff(20097,plain,
% 15.43/10.69 (~v130(constB141, bitIndex1)),
% 15.43/10.69 inference(unit_resolution,[status(thm)],[20096, 20094])).
% 15.43/10.69 tff(20098,plain,
% 15.43/10.69 ((~(v127(constB141, bitIndex1) <=> v130(constB141, bitIndex1))) | (~v127(constB141, bitIndex1)) | v130(constB141, bitIndex1)),
% 15.43/10.69 inference(tautology,[status(thm)],[])).
% 15.43/10.69 tff(20099,plain,
% 15.43/10.69 (~v127(constB141, bitIndex1)),
% 15.43/10.69 inference(unit_resolution,[status(thm)],[20098, 20097, 20090])).
% 15.43/10.69 tff(20100,plain,
% 15.43/10.69 ((~(v129(constB142, bitIndex1) <=> v127(constB141, bitIndex1))) | (~v129(constB142, bitIndex1)) | v127(constB141, bitIndex1)),
% 15.43/10.69 inference(tautology,[status(thm)],[])).
% 15.43/10.69 tff(20101,plain,
% 15.43/10.69 (~v129(constB142, bitIndex1)),
% 15.43/10.69 inference(unit_resolution,[status(thm)],[20100, 20099, 20086])).
% 15.43/10.69 tff(20102,plain,
% 15.43/10.69 ((~(v90(constB142, bitIndex1) <=> v129(constB142, bitIndex1))) | (~v90(constB142, bitIndex1)) | v129(constB142, bitIndex1)),
% 15.43/10.69 inference(tautology,[status(thm)],[])).
% 15.43/10.69 tff(20103,plain,
% 15.43/10.69 (~v90(constB142, bitIndex1)),
% 15.43/10.69 inference(unit_resolution,[status(thm)],[20102, 20101, 20082])).
% 15.43/10.69 tff(20104,plain,
% 15.43/10.69 ((~(v90(constB143, bitIndex1) <=> v90(constB142, bitIndex1))) | (~v90(constB143, bitIndex1)) | v90(constB142, bitIndex1)),
% 15.43/10.69 inference(tautology,[status(thm)],[])).
% 15.43/10.69 tff(20105,plain,
% 15.43/10.69 (~v90(constB143, bitIndex1)),
% 15.43/10.69 inference(unit_resolution,[status(thm)],[20104, 20103, 20078])).
% 15.43/10.69 tff(20106,plain,
% 15.43/10.69 ((~((~v90(constB143, bitIndex2)) | v90(constB143, bitIndex1) | v90(constB143, bitIndex0))) | (~v90(constB143, bitIndex2)) | v90(constB143, bitIndex1) | v90(constB143, bitIndex0)),
% 15.43/10.69 inference(tautology,[status(thm)],[])).
% 15.43/10.69 tff(20107,plain,
% 15.43/10.69 (~((~v90(constB143, bitIndex2)) | v90(constB143, bitIndex1) | v90(constB143, bitIndex0))),
% 15.43/10.69 inference(unit_resolution,[status(thm)],[20106, 20105, 20074, 20043])).
% 15.43/10.69 tff(20108,plain,
% 15.43/10.69 ((~(v123(constB143) <=> (~((~v90(constB143, bitIndex2)) | v90(constB143, bitIndex1) | v90(constB143, bitIndex0))))) | v123(constB143) | ((~v90(constB143, bitIndex2)) | v90(constB143, bitIndex1) | v90(constB143, bitIndex0))),
% 15.43/10.69 inference(tautology,[status(thm)],[])).
% 15.43/10.69 tff(20109,plain,
% 15.43/10.69 (v123(constB143)),
% 15.43/10.69 inference(unit_resolution,[status(thm)],[20108, 20107, 13893])).
% 15.43/10.69 tff(20110,plain,
% 15.43/10.69 ((v116(constB143) | v123(constB143)) | (~v123(constB143))),
% 15.43/10.69 inference(tautology,[status(thm)],[])).
% 15.43/10.69 tff(20111,plain,
% 15.43/10.69 (v116(constB143) | v123(constB143)),
% 15.43/10.69 inference(unit_resolution,[status(thm)],[20110, 20109])).
% 15.43/10.69 tff(20112,plain,
% 15.43/10.69 ((~(v115(constB143) <=> (v116(constB143) | v123(constB143)))) | v115(constB143) | (~(v116(constB143) | v123(constB143)))),
% 15.43/10.69 inference(tautology,[status(thm)],[])).
% 15.43/10.69 tff(20113,plain,
% 15.43/10.69 (v115(constB143)),
% 15.43/10.69 inference(unit_resolution,[status(thm)],[20112, 20111, 13886])).
% 15.43/10.69 tff(20114,plain,
% 15.43/10.69 ((v115(constB143) | v124(constB143)) | (~v115(constB143))),
% 15.43/10.69 inference(tautology,[status(thm)],[])).
% 15.43/10.69 tff(20115,plain,
% 15.43/10.69 (v115(constB143) | v124(constB143)),
% 15.43/10.69 inference(unit_resolution,[status(thm)],[20114, 20113])).
% 15.43/10.69 tff(20116,plain,
% 15.43/10.69 ((~(v114(constB143) <=> (v115(constB143) | v124(constB143)))) | v114(constB143) | (~(v115(constB143) | v124(constB143)))),
% 15.43/10.69 inference(tautology,[status(thm)],[])).
% 15.43/10.69 tff(20117,plain,
% 15.43/10.69 (v114(constB143)),
% 15.43/10.69 inference(unit_resolution,[status(thm)],[20116, 20115, 13884])).
% 15.43/10.69 tff(20118,plain,
% 15.43/10.69 ((v114(constB143) | v125(constB143)) | (~v114(constB143))),
% 15.43/10.69 inference(tautology,[status(thm)],[])).
% 15.43/10.69 tff(20119,plain,
% 15.43/10.69 (v114(constB143) | v125(constB143)),
% 15.43/10.69 inference(unit_resolution,[status(thm)],[20118, 20117])).
% 15.43/10.69 tff(20120,plain,
% 15.43/10.69 ((~(v113(constB143) <=> (v114(constB143) | v125(constB143)))) | v113(constB143) | (~(v114(constB143) | v125(constB143)))),
% 15.43/10.69 inference(tautology,[status(thm)],[])).
% 15.43/10.69 tff(20121,plain,
% 15.43/10.69 (v113(constB143)),
% 15.43/10.69 inference(unit_resolution,[status(thm)],[20120, 20119, 13882])).
% 15.43/10.69 tff(20122,plain,
% 15.43/10.69 ((~![VarCurr: $i] : ((~v126(VarCurr)) <=> v111(VarCurr))) | ((~v126(constB143)) <=> v111(constB143))),
% 15.43/10.69 inference(quant_inst,[status(thm)],[])).
% 15.43/10.69 tff(20123,plain,
% 15.43/10.69 ((~v126(constB143)) <=> v111(constB143)),
% 15.43/10.69 inference(unit_resolution,[status(thm)],[20122, 5074])).
% 15.43/10.69 tff(20124,plain,
% 15.43/10.69 ((~![VarCurr: $i] : (v111(VarCurr) <=> v26(VarCurr))) | (v111(constB143) <=> v26(constB143))),
% 15.43/10.69 inference(quant_inst,[status(thm)],[])).
% 15.43/10.69 tff(20125,plain,
% 15.43/10.69 (v111(constB143) <=> v26(constB143)),
% 15.43/10.69 inference(unit_resolution,[status(thm)],[20124, 5086])).
% 15.43/10.69 tff(20126,plain,
% 15.43/10.69 ((~![VarCurr: $i] : (~v26(VarCurr))) | (~v26(constB143))),
% 15.43/10.69 inference(quant_inst,[status(thm)],[])).
% 15.43/10.69 tff(20127,plain,
% 15.43/10.69 (~v26(constB143)),
% 15.43/10.69 inference(unit_resolution,[status(thm)],[20126, 5098])).
% 15.43/10.69 tff(20128,plain,
% 15.43/10.69 ((~(v111(constB143) <=> v26(constB143))) | (~v111(constB143)) | v26(constB143)),
% 15.43/10.69 inference(tautology,[status(thm)],[])).
% 15.43/10.69 tff(20129,plain,
% 15.43/10.69 ((~(v111(constB143) <=> v26(constB143))) | (~v111(constB143))),
% 15.43/10.69 inference(unit_resolution,[status(thm)],[20128, 20127])).
% 15.43/10.69 tff(20130,plain,
% 15.43/10.69 (~v111(constB143)),
% 15.43/10.69 inference(unit_resolution,[status(thm)],[20129, 20125])).
% 15.43/10.69 tff(20131,plain,
% 15.43/10.69 ((~((~v126(constB143)) <=> v111(constB143))) | v126(constB143) | v111(constB143)),
% 15.43/10.69 inference(tautology,[status(thm)],[])).
% 15.43/10.69 tff(20132,plain,
% 15.43/10.69 ((~((~v126(constB143)) <=> v111(constB143))) | v126(constB143)),
% 15.43/10.69 inference(unit_resolution,[status(thm)],[20131, 20130])).
% 15.43/10.69 tff(20133,plain,
% 15.43/10.69 (v126(constB143)),
% 15.43/10.69 inference(unit_resolution,[status(thm)],[20132, 20123])).
% 15.43/10.69 tff(20134,plain,
% 15.43/10.69 ((~((~v113(constB143)) | (~v126(constB143)))) | (~v113(constB143)) | (~v126(constB143))),
% 15.43/10.69 inference(tautology,[status(thm)],[])).
% 15.43/10.69 tff(20135,plain,
% 15.43/10.69 ((~((~v113(constB143)) | (~v126(constB143)))) | (~v113(constB143))),
% 15.43/10.69 inference(unit_resolution,[status(thm)],[20134, 20133])).
% 15.43/10.69 tff(20136,plain,
% 15.43/10.69 (~((~v113(constB143)) | (~v126(constB143)))),
% 15.43/10.69 inference(unit_resolution,[status(thm)],[20135, 20121])).
% 15.43/10.69 tff(20137,plain,
% 15.43/10.69 ((~(v112(constB143) <=> (~((~v113(constB143)) | (~v126(constB143)))))) | v112(constB143) | ((~v113(constB143)) | (~v126(constB143)))),
% 15.43/10.69 inference(tautology,[status(thm)],[])).
% 15.43/10.69 tff(20138,plain,
% 15.43/10.69 (v112(constB143)),
% 15.43/10.69 inference(unit_resolution,[status(thm)],[20137, 20136, 13880])).
% 15.43/10.69 tff(20139,plain,
% 15.43/10.69 ((v111(constB143) | v112(constB143)) | (~v112(constB143))),
% 15.43/10.69 inference(tautology,[status(thm)],[])).
% 15.43/10.69 tff(20140,plain,
% 15.43/10.69 (v111(constB143) | v112(constB143)),
% 15.43/10.69 inference(unit_resolution,[status(thm)],[20139, 20138])).
% 15.43/10.69 tff(20141,plain,
% 15.43/10.69 ((~(v108(constB143) <=> (v111(constB143) | v112(constB143)))) | v108(constB143) | (~(v111(constB143) | v112(constB143)))),
% 15.43/10.69 inference(tautology,[status(thm)],[])).
% 15.43/10.69 tff(20142,plain,
% 15.43/10.69 (v108(constB143)),
% 15.43/10.69 inference(unit_resolution,[status(thm)],[20141, 20140, 13878])).
% 15.43/10.69 tff(20143,plain,
% 15.43/10.69 ((~(v110(constB144) <=> v108(constB143))) | v110(constB144) | (~v108(constB143))),
% 15.43/10.69 inference(tautology,[status(thm)],[])).
% 15.43/10.69 tff(20144,plain,
% 15.43/10.69 (v110(constB144)),
% 15.43/10.69 inference(unit_resolution,[status(thm)],[20143, 20142, 13876])).
% 15.43/10.69 tff(20145,plain,
% 15.43/10.69 ((~((~v101(constB144)) | (~v110(constB144)))) | (~v101(constB144)) | (~v110(constB144))),
% 15.43/10.69 inference(tautology,[status(thm)],[])).
% 15.43/10.69 tff(20146,plain,
% 15.43/10.69 (~((~v101(constB144)) | (~v110(constB144)))),
% 15.43/10.69 inference(unit_resolution,[status(thm)],[20145, 20144, 13872])).
% 15.43/10.69 tff(20147,plain,
% 15.43/10.69 ((~(v100(constB144) <=> (~((~v101(constB144)) | (~v110(constB144)))))) | v100(constB144) | ((~v101(constB144)) | (~v110(constB144)))),
% 15.43/10.69 inference(tautology,[status(thm)],[])).
% 15.43/10.69 tff(20148,plain,
% 15.43/10.69 (v100(constB144)),
% 15.43/10.69 inference(unit_resolution,[status(thm)],[20147, 20146, 13841])).
% 15.43/10.69 tff(20149,plain,
% 15.43/10.69 (((~![VarNext: $i] : ((~v100(VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v129(VarNext, B))))) | ((~v100(constB144)) | ![B: $i] : ((~less_3(B)) | (v90(constB144, B) <=> v129(constB144, B))))) <=> ((~![VarNext: $i] : ((~v100(VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v129(VarNext, B))))) | (~v100(constB144)) | ![B: $i] : ((~less_3(B)) | (v90(constB144, B) <=> v129(constB144, B))))),
% 15.43/10.69 inference(rewrite,[status(thm)],[])).
% 15.43/10.69 tff(20150,plain,
% 15.43/10.69 ((~![VarNext: $i] : ((~v100(VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v129(VarNext, B))))) | ((~v100(constB144)) | ![B: $i] : ((~less_3(B)) | (v90(constB144, B) <=> v129(constB144, B))))),
% 15.43/10.69 inference(quant_inst,[status(thm)],[])).
% 15.43/10.69 tff(20151,plain,
% 15.43/10.69 ((~![VarNext: $i] : ((~v100(VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v129(VarNext, B))))) | (~v100(constB144)) | ![B: $i] : ((~less_3(B)) | (v90(constB144, B) <=> v129(constB144, B)))),
% 15.43/10.69 inference(modus_ponens,[status(thm)],[20150, 20149])).
% 15.43/10.69 tff(20152,plain,
% 15.43/10.69 ((~v100(constB144)) | ![B: $i] : ((~less_3(B)) | (v90(constB144, B) <=> v129(constB144, B)))),
% 15.43/10.69 inference(unit_resolution,[status(thm)],[20151, 5134])).
% 15.43/10.69 tff(20153,plain,
% 15.43/10.69 (![B: $i] : ((~less_3(B)) | (v90(constB144, B) <=> v129(constB144, B)))),
% 15.43/10.69 inference(unit_resolution,[status(thm)],[20152, 20148])).
% 15.43/10.69 tff(20154,plain,
% 15.43/10.69 (((~![B: $i] : ((~less_3(B)) | (v90(constB144, B) <=> v129(constB144, B)))) | ((~less_3(bitIndex2)) | (v90(constB144, bitIndex2) <=> v129(constB144, bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v90(constB144, B) <=> v129(constB144, B)))) | (~less_3(bitIndex2)) | (v90(constB144, bitIndex2) <=> v129(constB144, bitIndex2)))),
% 15.43/10.69 inference(rewrite,[status(thm)],[])).
% 15.43/10.69 tff(20155,plain,
% 15.43/10.69 ((~![B: $i] : ((~less_3(B)) | (v90(constB144, B) <=> v129(constB144, B)))) | ((~less_3(bitIndex2)) | (v90(constB144, bitIndex2) <=> v129(constB144, bitIndex2)))),
% 15.43/10.69 inference(quant_inst,[status(thm)],[])).
% 15.43/10.69 tff(20156,plain,
% 15.43/10.69 ((~![B: $i] : ((~less_3(B)) | (v90(constB144, B) <=> v129(constB144, B)))) | (~less_3(bitIndex2)) | (v90(constB144, bitIndex2) <=> v129(constB144, bitIndex2))),
% 15.43/10.69 inference(modus_ponens,[status(thm)],[20155, 20154])).
% 15.43/10.69 tff(20157,plain,
% 15.43/10.69 (v90(constB144, bitIndex2) <=> v129(constB144, bitIndex2)),
% 15.43/10.69 inference(unit_resolution,[status(thm)],[20156, 413, 20153])).
% 15.43/10.69 tff(20158,plain,
% 15.43/10.69 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v129(VarNext, B) <=> v127(VarCurr, B))))) | ((~nextState(constB143, constB144)) | ![B: $i] : ((~less_3(B)) | (v129(constB144, B) <=> v127(constB143, B))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v129(VarNext, B) <=> v127(VarCurr, B))))) | (~nextState(constB143, constB144)) | ![B: $i] : ((~less_3(B)) | (v129(constB144, B) <=> v127(constB143, B))))),
% 15.43/10.70 inference(rewrite,[status(thm)],[])).
% 15.43/10.70 tff(20159,plain,
% 15.43/10.70 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v129(VarNext, B) <=> v127(VarCurr, B))))) | ((~nextState(constB143, constB144)) | ![B: $i] : ((~less_3(B)) | (v129(constB144, B) <=> v127(constB143, B))))),
% 15.43/10.70 inference(quant_inst,[status(thm)],[])).
% 15.43/10.70 tff(20160,plain,
% 15.43/10.70 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v129(VarNext, B) <=> v127(VarCurr, B))))) | (~nextState(constB143, constB144)) | ![B: $i] : ((~less_3(B)) | (v129(constB144, B) <=> v127(constB143, B)))),
% 15.43/10.70 inference(modus_ponens,[status(thm)],[20159, 20158])).
% 15.43/10.70 tff(20161,plain,
% 15.43/10.70 (![B: $i] : ((~less_3(B)) | (v129(constB144, B) <=> v127(constB143, B)))),
% 15.43/10.70 inference(unit_resolution,[status(thm)],[20160, 13837, 5156])).
% 15.43/10.70 tff(20162,plain,
% 15.43/10.70 (((~![B: $i] : ((~less_3(B)) | (v129(constB144, B) <=> v127(constB143, B)))) | ((~less_3(bitIndex2)) | (v129(constB144, bitIndex2) <=> v127(constB143, bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v129(constB144, B) <=> v127(constB143, B)))) | (~less_3(bitIndex2)) | (v129(constB144, bitIndex2) <=> v127(constB143, bitIndex2)))),
% 15.43/10.70 inference(rewrite,[status(thm)],[])).
% 15.43/10.70 tff(20163,plain,
% 15.43/10.70 ((~![B: $i] : ((~less_3(B)) | (v129(constB144, B) <=> v127(constB143, B)))) | ((~less_3(bitIndex2)) | (v129(constB144, bitIndex2) <=> v127(constB143, bitIndex2)))),
% 15.43/10.70 inference(quant_inst,[status(thm)],[])).
% 15.43/10.70 tff(20164,plain,
% 15.43/10.70 ((~![B: $i] : ((~less_3(B)) | (v129(constB144, B) <=> v127(constB143, B)))) | (~less_3(bitIndex2)) | (v129(constB144, bitIndex2) <=> v127(constB143, bitIndex2))),
% 15.43/10.70 inference(modus_ponens,[status(thm)],[20163, 20162])).
% 15.43/10.70 tff(20165,plain,
% 15.43/10.70 (v129(constB144, bitIndex2) <=> v127(constB143, bitIndex2)),
% 15.43/10.70 inference(unit_resolution,[status(thm)],[20164, 413, 20161])).
% 15.43/10.70 tff(20166,plain,
% 15.43/10.70 (((~![VarCurr: $i] : (v111(VarCurr) | ![B: $i] : ((~less_3(B)) | (v127(VarCurr, B) <=> v130(VarCurr, B))))) | (v111(constB143) | ![B: $i] : ((~less_3(B)) | (v127(constB143, B) <=> v130(constB143, B))))) <=> ((~![VarCurr: $i] : (v111(VarCurr) | ![B: $i] : ((~less_3(B)) | (v127(VarCurr, B) <=> v130(VarCurr, B))))) | v111(constB143) | ![B: $i] : ((~less_3(B)) | (v127(constB143, B) <=> v130(constB143, B))))),
% 15.43/10.70 inference(rewrite,[status(thm)],[])).
% 15.43/10.70 tff(20167,plain,
% 15.43/10.70 ((~![VarCurr: $i] : (v111(VarCurr) | ![B: $i] : ((~less_3(B)) | (v127(VarCurr, B) <=> v130(VarCurr, B))))) | (v111(constB143) | ![B: $i] : ((~less_3(B)) | (v127(constB143, B) <=> v130(constB143, B))))),
% 15.43/10.70 inference(quant_inst,[status(thm)],[])).
% 15.43/10.70 tff(20168,plain,
% 15.43/10.70 ((~![VarCurr: $i] : (v111(VarCurr) | ![B: $i] : ((~less_3(B)) | (v127(VarCurr, B) <=> v130(VarCurr, B))))) | v111(constB143) | ![B: $i] : ((~less_3(B)) | (v127(constB143, B) <=> v130(constB143, B)))),
% 15.43/10.70 inference(modus_ponens,[status(thm)],[20167, 20166])).
% 15.43/10.70 tff(20169,plain,
% 15.43/10.70 (![B: $i] : ((~less_3(B)) | (v127(constB143, B) <=> v130(constB143, B)))),
% 15.43/10.70 inference(unit_resolution,[status(thm)],[20168, 5177, 20130])).
% 15.43/10.70 tff(20170,plain,
% 15.43/10.70 (((~![B: $i] : ((~less_3(B)) | (v127(constB143, B) <=> v130(constB143, B)))) | ((~less_3(bitIndex2)) | (v127(constB143, bitIndex2) <=> v130(constB143, bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v127(constB143, B) <=> v130(constB143, B)))) | (~less_3(bitIndex2)) | (v127(constB143, bitIndex2) <=> v130(constB143, bitIndex2)))),
% 15.43/10.70 inference(rewrite,[status(thm)],[])).
% 15.43/10.70 tff(20171,plain,
% 15.43/10.70 ((~![B: $i] : ((~less_3(B)) | (v127(constB143, B) <=> v130(constB143, B)))) | ((~less_3(bitIndex2)) | (v127(constB143, bitIndex2) <=> v130(constB143, bitIndex2)))),
% 15.43/10.70 inference(quant_inst,[status(thm)],[])).
% 15.43/10.70 tff(20172,plain,
% 15.43/10.70 ((~![B: $i] : ((~less_3(B)) | (v127(constB143, B) <=> v130(constB143, B)))) | (~less_3(bitIndex2)) | (v127(constB143, bitIndex2) <=> v130(constB143, bitIndex2))),
% 15.43/10.70 inference(modus_ponens,[status(thm)],[20171, 20170])).
% 15.43/10.70 tff(20173,plain,
% 15.43/10.70 (v127(constB143, bitIndex2) <=> v130(constB143, bitIndex2)),
% 15.43/10.70 inference(unit_resolution,[status(thm)],[20172, 413, 20169])).
% 15.43/10.70 tff(20174,plain,
% 15.43/10.70 (((~![VarCurr: $i] : ((~v123(VarCurr)) | ![B: $i] : ((~less_3(B)) | (v130(VarCurr, B) <=> b110(B))))) | ((~v123(constB143)) | ![B: $i] : ((~less_3(B)) | (v130(constB143, B) <=> b110(B))))) <=> ((~![VarCurr: $i] : ((~v123(VarCurr)) | ![B: $i] : ((~less_3(B)) | (v130(VarCurr, B) <=> b110(B))))) | (~v123(constB143)) | ![B: $i] : ((~less_3(B)) | (v130(constB143, B) <=> b110(B))))),
% 15.43/10.70 inference(rewrite,[status(thm)],[])).
% 15.43/10.70 tff(20175,plain,
% 15.43/10.70 ((~![VarCurr: $i] : ((~v123(VarCurr)) | ![B: $i] : ((~less_3(B)) | (v130(VarCurr, B) <=> b110(B))))) | ((~v123(constB143)) | ![B: $i] : ((~less_3(B)) | (v130(constB143, B) <=> b110(B))))),
% 15.43/10.70 inference(quant_inst,[status(thm)],[])).
% 15.43/10.70 tff(20176,plain,
% 15.43/10.70 ((~![VarCurr: $i] : ((~v123(VarCurr)) | ![B: $i] : ((~less_3(B)) | (v130(VarCurr, B) <=> b110(B))))) | (~v123(constB143)) | ![B: $i] : ((~less_3(B)) | (v130(constB143, B) <=> b110(B)))),
% 15.43/10.70 inference(modus_ponens,[status(thm)],[20175, 20174])).
% 15.43/10.70 tff(20177,plain,
% 15.43/10.70 ((~v123(constB143)) | ![B: $i] : ((~less_3(B)) | (v130(constB143, B) <=> b110(B)))),
% 15.43/10.70 inference(unit_resolution,[status(thm)],[20176, 5369])).
% 15.43/10.70 tff(20178,plain,
% 15.43/10.70 (![B: $i] : ((~less_3(B)) | (v130(constB143, B) <=> b110(B)))),
% 15.43/10.70 inference(unit_resolution,[status(thm)],[20177, 20109])).
% 15.43/10.70 tff(20179,plain,
% 15.43/10.70 (((~![B: $i] : ((~less_3(B)) | (v130(constB143, B) <=> b110(B)))) | ((~less_3(bitIndex2)) | (v130(constB143, bitIndex2) <=> b110(bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v130(constB143, B) <=> b110(B)))) | (~less_3(bitIndex2)) | (v130(constB143, bitIndex2) <=> b110(bitIndex2)))),
% 15.43/10.70 inference(rewrite,[status(thm)],[])).
% 15.43/10.70 tff(20180,plain,
% 15.43/10.70 ((~![B: $i] : ((~less_3(B)) | (v130(constB143, B) <=> b110(B)))) | ((~less_3(bitIndex2)) | (v130(constB143, bitIndex2) <=> b110(bitIndex2)))),
% 15.43/10.70 inference(quant_inst,[status(thm)],[])).
% 15.43/10.70 tff(20181,plain,
% 15.43/10.70 ((~![B: $i] : ((~less_3(B)) | (v130(constB143, B) <=> b110(B)))) | (~less_3(bitIndex2)) | (v130(constB143, bitIndex2) <=> b110(bitIndex2))),
% 15.43/10.70 inference(modus_ponens,[status(thm)],[20180, 20179])).
% 15.43/10.70 tff(20182,plain,
% 15.43/10.70 (v130(constB143, bitIndex2) <=> b110(bitIndex2)),
% 15.43/10.70 inference(unit_resolution,[status(thm)],[20181, 413, 20178])).
% 15.43/10.70 tff(20183,plain,
% 15.43/10.70 ((~(v130(constB143, bitIndex2) <=> b110(bitIndex2))) | v130(constB143, bitIndex2) | (~b110(bitIndex2))),
% 15.43/10.70 inference(tautology,[status(thm)],[])).
% 15.43/10.70 tff(20184,plain,
% 15.43/10.70 ((~(v130(constB143, bitIndex2) <=> b110(bitIndex2))) | v130(constB143, bitIndex2)),
% 15.43/10.70 inference(unit_resolution,[status(thm)],[20183, 5381])).
% 15.43/10.70 tff(20185,plain,
% 15.43/10.70 (v130(constB143, bitIndex2)),
% 15.43/10.70 inference(unit_resolution,[status(thm)],[20184, 20182])).
% 15.43/10.70 tff(20186,plain,
% 15.43/10.70 ((~(v127(constB143, bitIndex2) <=> v130(constB143, bitIndex2))) | v127(constB143, bitIndex2) | (~v130(constB143, bitIndex2))),
% 15.43/10.70 inference(tautology,[status(thm)],[])).
% 15.43/10.70 tff(20187,plain,
% 15.43/10.70 (v127(constB143, bitIndex2)),
% 15.43/10.70 inference(unit_resolution,[status(thm)],[20186, 20185, 20173])).
% 15.43/10.70 tff(20188,plain,
% 15.43/10.70 ((~(v129(constB144, bitIndex2) <=> v127(constB143, bitIndex2))) | v129(constB144, bitIndex2) | (~v127(constB143, bitIndex2))),
% 15.43/10.70 inference(tautology,[status(thm)],[])).
% 15.43/10.70 tff(20189,plain,
% 15.43/10.70 (v129(constB144, bitIndex2)),
% 15.43/10.70 inference(unit_resolution,[status(thm)],[20188, 20187, 20165])).
% 15.43/10.70 tff(20190,plain,
% 15.43/10.70 ((~(v90(constB144, bitIndex2) <=> v129(constB144, bitIndex2))) | v90(constB144, bitIndex2) | (~v129(constB144, bitIndex2))),
% 15.43/10.70 inference(tautology,[status(thm)],[])).
% 15.43/10.70 tff(20191,plain,
% 15.43/10.70 (v90(constB144, bitIndex2)),
% 15.43/10.70 inference(unit_resolution,[status(thm)],[20190, 20189, 20157])).
% 15.43/10.70 tff(20192,plain,
% 15.43/10.70 ((~(v90(constB145, bitIndex2) <=> v90(constB144, bitIndex2))) | v90(constB145, bitIndex2) | (~v90(constB144, bitIndex2))),
% 15.43/10.70 inference(tautology,[status(thm)],[])).
% 15.43/10.70 tff(20193,plain,
% 15.43/10.70 (v90(constB145, bitIndex2)),
% 15.43/10.70 inference(unit_resolution,[status(thm)],[20192, 20191, 13834])).
% 15.43/10.70 tff(20194,plain,
% 15.43/10.70 (((~![B: $i] : ((~less_3(B)) | (v90(constB145, B) <=> v90(constB144, B)))) | ((~less_3(bitIndex0)) | (v90(constB145, bitIndex0) <=> v90(constB144, bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v90(constB145, B) <=> v90(constB144, B)))) | (~less_3(bitIndex0)) | (v90(constB145, bitIndex0) <=> v90(constB144, bitIndex0)))),
% 15.43/10.70 inference(rewrite,[status(thm)],[])).
% 15.43/10.70 tff(20195,plain,
% 15.43/10.70 ((~![B: $i] : ((~less_3(B)) | (v90(constB145, B) <=> v90(constB144, B)))) | ((~less_3(bitIndex0)) | (v90(constB145, bitIndex0) <=> v90(constB144, bitIndex0)))),
% 15.43/10.70 inference(quant_inst,[status(thm)],[])).
% 15.43/10.70 tff(20196,plain,
% 15.43/10.70 ((~![B: $i] : ((~less_3(B)) | (v90(constB145, B) <=> v90(constB144, B)))) | (~less_3(bitIndex0)) | (v90(constB145, bitIndex0) <=> v90(constB144, bitIndex0))),
% 15.43/10.70 inference(modus_ponens,[status(thm)],[20195, 20194])).
% 15.43/10.70 tff(20197,plain,
% 15.43/10.70 (v90(constB145, bitIndex0) <=> v90(constB144, bitIndex0)),
% 15.43/10.70 inference(unit_resolution,[status(thm)],[20196, 5004, 13830])).
% 15.43/10.70 tff(20198,plain,
% 15.43/10.70 (((~![B: $i] : ((~less_3(B)) | (v90(constB144, B) <=> v129(constB144, B)))) | ((~less_3(bitIndex0)) | (v90(constB144, bitIndex0) <=> v129(constB144, bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v90(constB144, B) <=> v129(constB144, B)))) | (~less_3(bitIndex0)) | (v90(constB144, bitIndex0) <=> v129(constB144, bitIndex0)))),
% 15.43/10.70 inference(rewrite,[status(thm)],[])).
% 15.43/10.70 tff(20199,plain,
% 15.43/10.70 ((~![B: $i] : ((~less_3(B)) | (v90(constB144, B) <=> v129(constB144, B)))) | ((~less_3(bitIndex0)) | (v90(constB144, bitIndex0) <=> v129(constB144, bitIndex0)))),
% 15.43/10.70 inference(quant_inst,[status(thm)],[])).
% 15.43/10.70 tff(20200,plain,
% 15.43/10.70 ((~![B: $i] : ((~less_3(B)) | (v90(constB144, B) <=> v129(constB144, B)))) | (~less_3(bitIndex0)) | (v90(constB144, bitIndex0) <=> v129(constB144, bitIndex0))),
% 15.43/10.70 inference(modus_ponens,[status(thm)],[20199, 20198])).
% 15.43/10.70 tff(20201,plain,
% 15.43/10.70 (v90(constB144, bitIndex0) <=> v129(constB144, bitIndex0)),
% 15.43/10.70 inference(unit_resolution,[status(thm)],[20200, 5004, 20153])).
% 15.43/10.70 tff(20202,plain,
% 15.43/10.70 (((~![B: $i] : ((~less_3(B)) | (v129(constB144, B) <=> v127(constB143, B)))) | ((~less_3(bitIndex0)) | (v129(constB144, bitIndex0) <=> v127(constB143, bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v129(constB144, B) <=> v127(constB143, B)))) | (~less_3(bitIndex0)) | (v129(constB144, bitIndex0) <=> v127(constB143, bitIndex0)))),
% 15.43/10.70 inference(rewrite,[status(thm)],[])).
% 15.43/10.70 tff(20203,plain,
% 15.43/10.70 ((~![B: $i] : ((~less_3(B)) | (v129(constB144, B) <=> v127(constB143, B)))) | ((~less_3(bitIndex0)) | (v129(constB144, bitIndex0) <=> v127(constB143, bitIndex0)))),
% 15.43/10.70 inference(quant_inst,[status(thm)],[])).
% 15.43/10.70 tff(20204,plain,
% 15.43/10.70 ((~![B: $i] : ((~less_3(B)) | (v129(constB144, B) <=> v127(constB143, B)))) | (~less_3(bitIndex0)) | (v129(constB144, bitIndex0) <=> v127(constB143, bitIndex0))),
% 15.43/10.70 inference(modus_ponens,[status(thm)],[20203, 20202])).
% 15.43/10.70 tff(20205,plain,
% 15.43/10.70 (v129(constB144, bitIndex0) <=> v127(constB143, bitIndex0)),
% 15.43/10.70 inference(unit_resolution,[status(thm)],[20204, 5004, 20161])).
% 15.43/10.70 tff(20206,plain,
% 15.43/10.70 (((~![B: $i] : ((~less_3(B)) | (v127(constB143, B) <=> v130(constB143, B)))) | ((~less_3(bitIndex0)) | (v127(constB143, bitIndex0) <=> v130(constB143, bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v127(constB143, B) <=> v130(constB143, B)))) | (~less_3(bitIndex0)) | (v127(constB143, bitIndex0) <=> v130(constB143, bitIndex0)))),
% 15.43/10.70 inference(rewrite,[status(thm)],[])).
% 15.43/10.70 tff(20207,plain,
% 15.43/10.70 ((~![B: $i] : ((~less_3(B)) | (v127(constB143, B) <=> v130(constB143, B)))) | ((~less_3(bitIndex0)) | (v127(constB143, bitIndex0) <=> v130(constB143, bitIndex0)))),
% 15.43/10.70 inference(quant_inst,[status(thm)],[])).
% 15.43/10.70 tff(20208,plain,
% 15.43/10.70 ((~![B: $i] : ((~less_3(B)) | (v127(constB143, B) <=> v130(constB143, B)))) | (~less_3(bitIndex0)) | (v127(constB143, bitIndex0) <=> v130(constB143, bitIndex0))),
% 15.43/10.70 inference(modus_ponens,[status(thm)],[20207, 20206])).
% 15.43/10.70 tff(20209,plain,
% 15.43/10.70 (v127(constB143, bitIndex0) <=> v130(constB143, bitIndex0)),
% 15.43/10.70 inference(unit_resolution,[status(thm)],[20208, 5004, 20169])).
% 15.43/10.70 tff(20210,plain,
% 15.43/10.70 (((~![B: $i] : ((~less_3(B)) | (v130(constB143, B) <=> b110(B)))) | ((~less_3(bitIndex0)) | (v130(constB143, bitIndex0) <=> b110(bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v130(constB143, B) <=> b110(B)))) | (~less_3(bitIndex0)) | (v130(constB143, bitIndex0) <=> b110(bitIndex0)))),
% 15.43/10.70 inference(rewrite,[status(thm)],[])).
% 15.43/10.70 tff(20211,plain,
% 15.43/10.70 ((~![B: $i] : ((~less_3(B)) | (v130(constB143, B) <=> b110(B)))) | ((~less_3(bitIndex0)) | (v130(constB143, bitIndex0) <=> b110(bitIndex0)))),
% 15.43/10.70 inference(quant_inst,[status(thm)],[])).
% 15.43/10.70 tff(20212,plain,
% 15.43/10.70 ((~![B: $i] : ((~less_3(B)) | (v130(constB143, B) <=> b110(B)))) | (~less_3(bitIndex0)) | (v130(constB143, bitIndex0) <=> b110(bitIndex0))),
% 15.43/10.70 inference(modus_ponens,[status(thm)],[20211, 20210])).
% 15.43/10.70 tff(20213,plain,
% 15.43/10.70 (v130(constB143, bitIndex0) <=> b110(bitIndex0)),
% 15.43/10.70 inference(unit_resolution,[status(thm)],[20212, 5004, 20178])).
% 15.43/10.70 tff(20214,plain,
% 15.43/10.70 ((~(v130(constB143, bitIndex0) <=> b110(bitIndex0))) | (~v130(constB143, bitIndex0)) | b110(bitIndex0)),
% 15.43/10.70 inference(tautology,[status(thm)],[])).
% 15.43/10.70 tff(20215,plain,
% 15.43/10.70 ((~(v130(constB143, bitIndex0) <=> b110(bitIndex0))) | (~v130(constB143, bitIndex0))),
% 15.43/10.70 inference(unit_resolution,[status(thm)],[20214, 5415])).
% 15.43/10.70 tff(20216,plain,
% 15.43/10.70 (~v130(constB143, bitIndex0)),
% 15.43/10.70 inference(unit_resolution,[status(thm)],[20215, 20213])).
% 15.43/10.70 tff(20217,plain,
% 15.43/10.70 ((~(v127(constB143, bitIndex0) <=> v130(constB143, bitIndex0))) | (~v127(constB143, bitIndex0)) | v130(constB143, bitIndex0)),
% 15.43/10.70 inference(tautology,[status(thm)],[])).
% 15.43/10.70 tff(20218,plain,
% 15.43/10.70 (~v127(constB143, bitIndex0)),
% 15.43/10.70 inference(unit_resolution,[status(thm)],[20217, 20216, 20209])).
% 15.43/10.70 tff(20219,plain,
% 15.43/10.70 ((~(v129(constB144, bitIndex0) <=> v127(constB143, bitIndex0))) | (~v129(constB144, bitIndex0)) | v127(constB143, bitIndex0)),
% 15.43/10.70 inference(tautology,[status(thm)],[])).
% 15.43/10.70 tff(20220,plain,
% 15.43/10.70 (~v129(constB144, bitIndex0)),
% 15.43/10.70 inference(unit_resolution,[status(thm)],[20219, 20218, 20205])).
% 15.43/10.70 tff(20221,plain,
% 15.43/10.70 ((~(v90(constB144, bitIndex0) <=> v129(constB144, bitIndex0))) | (~v90(constB144, bitIndex0)) | v129(constB144, bitIndex0)),
% 15.43/10.70 inference(tautology,[status(thm)],[])).
% 15.43/10.70 tff(20222,plain,
% 15.43/10.70 (~v90(constB144, bitIndex0)),
% 15.43/10.70 inference(unit_resolution,[status(thm)],[20221, 20220, 20201])).
% 15.43/10.70 tff(20223,plain,
% 15.43/10.70 ((~(v90(constB145, bitIndex0) <=> v90(constB144, bitIndex0))) | (~v90(constB145, bitIndex0)) | v90(constB144, bitIndex0)),
% 15.43/10.70 inference(tautology,[status(thm)],[])).
% 15.43/10.70 tff(20224,plain,
% 15.43/10.70 (~v90(constB145, bitIndex0)),
% 15.43/10.70 inference(unit_resolution,[status(thm)],[20223, 20222, 20197])).
% 15.43/10.70 tff(20225,plain,
% 15.43/10.70 (((~![B: $i] : ((~less_3(B)) | (v90(constB145, B) <=> v90(constB144, B)))) | ((~less_3(bitIndex1)) | (v90(constB145, bitIndex1) <=> v90(constB144, bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v90(constB145, B) <=> v90(constB144, B)))) | (~less_3(bitIndex1)) | (v90(constB145, bitIndex1) <=> v90(constB144, bitIndex1)))),
% 15.43/10.70 inference(rewrite,[status(thm)],[])).
% 15.43/10.70 tff(20226,plain,
% 15.43/10.70 ((~![B: $i] : ((~less_3(B)) | (v90(constB145, B) <=> v90(constB144, B)))) | ((~less_3(bitIndex1)) | (v90(constB145, bitIndex1) <=> v90(constB144, bitIndex1)))),
% 15.43/10.70 inference(quant_inst,[status(thm)],[])).
% 15.43/10.70 tff(20227,plain,
% 15.43/10.70 ((~![B: $i] : ((~less_3(B)) | (v90(constB145, B) <=> v90(constB144, B)))) | (~less_3(bitIndex1)) | (v90(constB145, bitIndex1) <=> v90(constB144, bitIndex1))),
% 15.43/10.70 inference(modus_ponens,[status(thm)],[20226, 20225])).
% 15.43/10.70 tff(20228,plain,
% 15.43/10.70 (v90(constB145, bitIndex1) <=> v90(constB144, bitIndex1)),
% 15.43/10.70 inference(unit_resolution,[status(thm)],[20227, 5017, 13830])).
% 15.43/10.70 tff(20229,plain,
% 15.43/10.70 (((~![B: $i] : ((~less_3(B)) | (v90(constB144, B) <=> v129(constB144, B)))) | ((~less_3(bitIndex1)) | (v90(constB144, bitIndex1) <=> v129(constB144, bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v90(constB144, B) <=> v129(constB144, B)))) | (~less_3(bitIndex1)) | (v90(constB144, bitIndex1) <=> v129(constB144, bitIndex1)))),
% 15.43/10.71 inference(rewrite,[status(thm)],[])).
% 15.43/10.71 tff(20230,plain,
% 15.43/10.71 ((~![B: $i] : ((~less_3(B)) | (v90(constB144, B) <=> v129(constB144, B)))) | ((~less_3(bitIndex1)) | (v90(constB144, bitIndex1) <=> v129(constB144, bitIndex1)))),
% 15.43/10.71 inference(quant_inst,[status(thm)],[])).
% 15.43/10.71 tff(20231,plain,
% 15.43/10.71 ((~![B: $i] : ((~less_3(B)) | (v90(constB144, B) <=> v129(constB144, B)))) | (~less_3(bitIndex1)) | (v90(constB144, bitIndex1) <=> v129(constB144, bitIndex1))),
% 15.43/10.71 inference(modus_ponens,[status(thm)],[20230, 20229])).
% 15.43/10.71 tff(20232,plain,
% 15.43/10.71 (v90(constB144, bitIndex1) <=> v129(constB144, bitIndex1)),
% 15.43/10.71 inference(unit_resolution,[status(thm)],[20231, 5017, 20153])).
% 15.43/10.71 tff(20233,plain,
% 15.43/10.71 (((~![B: $i] : ((~less_3(B)) | (v129(constB144, B) <=> v127(constB143, B)))) | ((~less_3(bitIndex1)) | (v129(constB144, bitIndex1) <=> v127(constB143, bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v129(constB144, B) <=> v127(constB143, B)))) | (~less_3(bitIndex1)) | (v129(constB144, bitIndex1) <=> v127(constB143, bitIndex1)))),
% 15.43/10.71 inference(rewrite,[status(thm)],[])).
% 15.43/10.71 tff(20234,plain,
% 15.43/10.71 ((~![B: $i] : ((~less_3(B)) | (v129(constB144, B) <=> v127(constB143, B)))) | ((~less_3(bitIndex1)) | (v129(constB144, bitIndex1) <=> v127(constB143, bitIndex1)))),
% 15.43/10.71 inference(quant_inst,[status(thm)],[])).
% 15.43/10.71 tff(20235,plain,
% 15.43/10.71 ((~![B: $i] : ((~less_3(B)) | (v129(constB144, B) <=> v127(constB143, B)))) | (~less_3(bitIndex1)) | (v129(constB144, bitIndex1) <=> v127(constB143, bitIndex1))),
% 15.43/10.71 inference(modus_ponens,[status(thm)],[20234, 20233])).
% 15.43/10.71 tff(20236,plain,
% 15.43/10.71 (v129(constB144, bitIndex1) <=> v127(constB143, bitIndex1)),
% 15.43/10.71 inference(unit_resolution,[status(thm)],[20235, 5017, 20161])).
% 15.43/10.71 tff(20237,plain,
% 15.43/10.71 (((~![B: $i] : ((~less_3(B)) | (v127(constB143, B) <=> v130(constB143, B)))) | ((~less_3(bitIndex1)) | (v127(constB143, bitIndex1) <=> v130(constB143, bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v127(constB143, B) <=> v130(constB143, B)))) | (~less_3(bitIndex1)) | (v127(constB143, bitIndex1) <=> v130(constB143, bitIndex1)))),
% 15.43/10.71 inference(rewrite,[status(thm)],[])).
% 15.43/10.71 tff(20238,plain,
% 15.43/10.71 ((~![B: $i] : ((~less_3(B)) | (v127(constB143, B) <=> v130(constB143, B)))) | ((~less_3(bitIndex1)) | (v127(constB143, bitIndex1) <=> v130(constB143, bitIndex1)))),
% 15.43/10.71 inference(quant_inst,[status(thm)],[])).
% 15.43/10.71 tff(20239,plain,
% 15.43/10.71 ((~![B: $i] : ((~less_3(B)) | (v127(constB143, B) <=> v130(constB143, B)))) | (~less_3(bitIndex1)) | (v127(constB143, bitIndex1) <=> v130(constB143, bitIndex1))),
% 15.43/10.71 inference(modus_ponens,[status(thm)],[20238, 20237])).
% 15.43/10.71 tff(20240,plain,
% 15.43/10.71 (v127(constB143, bitIndex1) <=> v130(constB143, bitIndex1)),
% 15.43/10.71 inference(unit_resolution,[status(thm)],[20239, 5017, 20169])).
% 15.43/10.71 tff(20241,plain,
% 15.43/10.71 (((~![B: $i] : ((~less_3(B)) | (v130(constB143, B) <=> b110(B)))) | ((~less_3(bitIndex1)) | (v130(constB143, bitIndex1) <=> b110(bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v130(constB143, B) <=> b110(B)))) | (~less_3(bitIndex1)) | (v130(constB143, bitIndex1) <=> b110(bitIndex1)))),
% 15.43/10.71 inference(rewrite,[status(thm)],[])).
% 15.43/10.71 tff(20242,plain,
% 15.43/10.71 ((~![B: $i] : ((~less_3(B)) | (v130(constB143, B) <=> b110(B)))) | ((~less_3(bitIndex1)) | (v130(constB143, bitIndex1) <=> b110(bitIndex1)))),
% 15.43/10.71 inference(quant_inst,[status(thm)],[])).
% 15.43/10.71 tff(20243,plain,
% 15.43/10.71 ((~![B: $i] : ((~less_3(B)) | (v130(constB143, B) <=> b110(B)))) | (~less_3(bitIndex1)) | (v130(constB143, bitIndex1) <=> b110(bitIndex1))),
% 15.43/10.71 inference(modus_ponens,[status(thm)],[20242, 20241])).
% 15.43/10.71 tff(20244,plain,
% 15.43/10.71 (v130(constB143, bitIndex1) <=> b110(bitIndex1)),
% 15.43/10.71 inference(unit_resolution,[status(thm)],[20243, 5017, 20178])).
% 15.43/10.71 tff(20245,plain,
% 15.43/10.71 ((~(v130(constB143, bitIndex1) <=> b110(bitIndex1))) | v130(constB143, bitIndex1) | (~b110(bitIndex1))),
% 15.43/10.71 inference(tautology,[status(thm)],[])).
% 15.43/10.71 tff(20246,plain,
% 15.43/10.71 ((~(v130(constB143, bitIndex1) <=> b110(bitIndex1))) | v130(constB143, bitIndex1)),
% 15.43/10.71 inference(unit_resolution,[status(thm)],[20245, 5449])).
% 15.43/10.71 tff(20247,plain,
% 15.43/10.71 (v130(constB143, bitIndex1)),
% 15.43/10.71 inference(unit_resolution,[status(thm)],[20246, 20244])).
% 15.43/10.71 tff(20248,plain,
% 15.43/10.71 ((~(v127(constB143, bitIndex1) <=> v130(constB143, bitIndex1))) | v127(constB143, bitIndex1) | (~v130(constB143, bitIndex1))),
% 15.43/10.71 inference(tautology,[status(thm)],[])).
% 15.43/10.71 tff(20249,plain,
% 15.43/10.71 (v127(constB143, bitIndex1)),
% 15.43/10.71 inference(unit_resolution,[status(thm)],[20248, 20247, 20240])).
% 15.43/10.71 tff(20250,plain,
% 15.43/10.71 ((~(v129(constB144, bitIndex1) <=> v127(constB143, bitIndex1))) | v129(constB144, bitIndex1) | (~v127(constB143, bitIndex1))),
% 15.43/10.71 inference(tautology,[status(thm)],[])).
% 15.43/10.71 tff(20251,plain,
% 15.43/10.71 (v129(constB144, bitIndex1)),
% 15.43/10.71 inference(unit_resolution,[status(thm)],[20250, 20249, 20236])).
% 15.43/10.71 tff(20252,plain,
% 15.43/10.71 ((~(v90(constB144, bitIndex1) <=> v129(constB144, bitIndex1))) | v90(constB144, bitIndex1) | (~v129(constB144, bitIndex1))),
% 15.43/10.71 inference(tautology,[status(thm)],[])).
% 15.43/10.71 tff(20253,plain,
% 15.43/10.71 (v90(constB144, bitIndex1)),
% 15.43/10.71 inference(unit_resolution,[status(thm)],[20252, 20251, 20232])).
% 15.43/10.71 tff(20254,plain,
% 15.43/10.71 ((~(v90(constB145, bitIndex1) <=> v90(constB144, bitIndex1))) | v90(constB145, bitIndex1) | (~v90(constB144, bitIndex1))),
% 15.43/10.71 inference(tautology,[status(thm)],[])).
% 15.43/10.71 tff(20255,plain,
% 15.43/10.71 (v90(constB145, bitIndex1)),
% 15.43/10.71 inference(unit_resolution,[status(thm)],[20254, 20253, 20228])).
% 15.43/10.71 tff(20256,plain,
% 15.43/10.71 ((~((~v90(constB145, bitIndex2)) | (~v90(constB145, bitIndex1)) | v90(constB145, bitIndex0))) | (~v90(constB145, bitIndex2)) | (~v90(constB145, bitIndex1)) | v90(constB145, bitIndex0)),
% 15.43/10.71 inference(tautology,[status(thm)],[])).
% 15.43/10.71 tff(20257,plain,
% 15.43/10.71 (~((~v90(constB145, bitIndex2)) | (~v90(constB145, bitIndex1)) | v90(constB145, bitIndex0))),
% 15.43/10.71 inference(unit_resolution,[status(thm)],[20256, 20255, 20224, 20193])).
% 15.43/10.71 tff(20258,plain,
% 15.43/10.71 ((~(v125(constB145) <=> (~((~v90(constB145, bitIndex2)) | (~v90(constB145, bitIndex1)) | v90(constB145, bitIndex0))))) | v125(constB145) | ((~v90(constB145, bitIndex2)) | (~v90(constB145, bitIndex1)) | v90(constB145, bitIndex0))),
% 15.43/10.71 inference(tautology,[status(thm)],[])).
% 15.43/10.71 tff(20259,plain,
% 15.43/10.71 (v125(constB145)),
% 15.43/10.71 inference(unit_resolution,[status(thm)],[20258, 20257, 13802])).
% 15.43/10.71 tff(20260,plain,
% 15.43/10.71 ((v114(constB145) | v125(constB145)) | (~v125(constB145))),
% 15.43/10.71 inference(tautology,[status(thm)],[])).
% 15.43/10.71 tff(20261,plain,
% 15.43/10.71 (v114(constB145) | v125(constB145)),
% 15.43/10.71 inference(unit_resolution,[status(thm)],[20260, 20259])).
% 15.43/10.71 tff(20262,plain,
% 15.43/10.71 ((~(v113(constB145) <=> (v114(constB145) | v125(constB145)))) | v113(constB145) | (~(v114(constB145) | v125(constB145)))),
% 15.43/10.71 inference(tautology,[status(thm)],[])).
% 15.43/10.71 tff(20263,plain,
% 15.43/10.71 (v113(constB145)),
% 15.43/10.71 inference(unit_resolution,[status(thm)],[20262, 20261, 13795])).
% 15.43/10.71 tff(20264,plain,
% 15.43/10.71 ((~![VarCurr: $i] : ((~v126(VarCurr)) <=> v111(VarCurr))) | ((~v126(constB145)) <=> v111(constB145))),
% 15.43/10.71 inference(quant_inst,[status(thm)],[])).
% 15.43/10.71 tff(20265,plain,
% 15.43/10.71 ((~v126(constB145)) <=> v111(constB145)),
% 15.43/10.71 inference(unit_resolution,[status(thm)],[20264, 5074])).
% 15.43/10.71 tff(20266,plain,
% 15.43/10.71 ((~![VarCurr: $i] : (v111(VarCurr) <=> v26(VarCurr))) | (v111(constB145) <=> v26(constB145))),
% 15.43/10.71 inference(quant_inst,[status(thm)],[])).
% 15.43/10.71 tff(20267,plain,
% 15.43/10.71 (v111(constB145) <=> v26(constB145)),
% 15.43/10.71 inference(unit_resolution,[status(thm)],[20266, 5086])).
% 15.43/10.71 tff(20268,plain,
% 15.43/10.71 ((~![VarCurr: $i] : (~v26(VarCurr))) | (~v26(constB145))),
% 15.43/10.71 inference(quant_inst,[status(thm)],[])).
% 15.43/10.71 tff(20269,plain,
% 15.43/10.71 (~v26(constB145)),
% 15.43/10.71 inference(unit_resolution,[status(thm)],[20268, 5098])).
% 15.43/10.71 tff(20270,plain,
% 15.43/10.71 ((~(v111(constB145) <=> v26(constB145))) | (~v111(constB145)) | v26(constB145)),
% 15.43/10.71 inference(tautology,[status(thm)],[])).
% 15.43/10.71 tff(20271,plain,
% 15.43/10.71 ((~(v111(constB145) <=> v26(constB145))) | (~v111(constB145))),
% 15.43/10.71 inference(unit_resolution,[status(thm)],[20270, 20269])).
% 15.43/10.71 tff(20272,plain,
% 15.43/10.71 (~v111(constB145)),
% 15.43/10.71 inference(unit_resolution,[status(thm)],[20271, 20267])).
% 15.43/10.71 tff(20273,plain,
% 15.43/10.71 ((~((~v126(constB145)) <=> v111(constB145))) | v126(constB145) | v111(constB145)),
% 15.43/10.71 inference(tautology,[status(thm)],[])).
% 15.43/10.71 tff(20274,plain,
% 15.43/10.71 ((~((~v126(constB145)) <=> v111(constB145))) | v126(constB145)),
% 15.43/10.71 inference(unit_resolution,[status(thm)],[20273, 20272])).
% 15.43/10.71 tff(20275,plain,
% 15.43/10.71 (v126(constB145)),
% 15.43/10.71 inference(unit_resolution,[status(thm)],[20274, 20265])).
% 15.43/10.71 tff(20276,plain,
% 15.43/10.71 ((~((~v113(constB145)) | (~v126(constB145)))) | (~v113(constB145)) | (~v126(constB145))),
% 15.43/10.71 inference(tautology,[status(thm)],[])).
% 15.43/10.71 tff(20277,plain,
% 15.43/10.71 ((~((~v113(constB145)) | (~v126(constB145)))) | (~v113(constB145))),
% 15.43/10.71 inference(unit_resolution,[status(thm)],[20276, 20275])).
% 15.43/10.71 tff(20278,plain,
% 15.43/10.71 (~((~v113(constB145)) | (~v126(constB145)))),
% 15.43/10.71 inference(unit_resolution,[status(thm)],[20277, 20263])).
% 15.43/10.71 tff(20279,plain,
% 15.43/10.71 ((~(v112(constB145) <=> (~((~v113(constB145)) | (~v126(constB145)))))) | v112(constB145) | ((~v113(constB145)) | (~v126(constB145)))),
% 15.43/10.71 inference(tautology,[status(thm)],[])).
% 15.43/10.71 tff(20280,plain,
% 15.43/10.71 (v112(constB145)),
% 15.43/10.71 inference(unit_resolution,[status(thm)],[20279, 20278, 13793])).
% 15.43/10.71 tff(20281,plain,
% 15.43/10.71 ((v111(constB145) | v112(constB145)) | (~v112(constB145))),
% 15.43/10.71 inference(tautology,[status(thm)],[])).
% 15.43/10.71 tff(20282,plain,
% 15.43/10.71 (v111(constB145) | v112(constB145)),
% 15.43/10.71 inference(unit_resolution,[status(thm)],[20281, 20280])).
% 15.43/10.71 tff(20283,plain,
% 15.43/10.71 ((~(v108(constB145) <=> (v111(constB145) | v112(constB145)))) | v108(constB145) | (~(v111(constB145) | v112(constB145)))),
% 15.43/10.71 inference(tautology,[status(thm)],[])).
% 15.43/10.71 tff(20284,plain,
% 15.43/10.71 (v108(constB145)),
% 15.43/10.71 inference(unit_resolution,[status(thm)],[20283, 20282, 13791])).
% 15.43/10.71 tff(20285,plain,
% 15.43/10.71 ((~(v110(constB146) <=> v108(constB145))) | v110(constB146) | (~v108(constB145))),
% 15.43/10.71 inference(tautology,[status(thm)],[])).
% 15.43/10.71 tff(20286,plain,
% 15.43/10.71 (v110(constB146)),
% 15.43/10.71 inference(unit_resolution,[status(thm)],[20285, 20284, 13789])).
% 15.43/10.71 tff(20287,plain,
% 15.43/10.71 ((~((~v101(constB146)) | (~v110(constB146)))) | (~v101(constB146)) | (~v110(constB146))),
% 15.43/10.71 inference(tautology,[status(thm)],[])).
% 15.43/10.71 tff(20288,plain,
% 15.43/10.71 (~((~v101(constB146)) | (~v110(constB146)))),
% 15.43/10.71 inference(unit_resolution,[status(thm)],[20287, 20286, 13785])).
% 15.43/10.71 tff(20289,plain,
% 15.43/10.71 ((~(v100(constB146) <=> (~((~v101(constB146)) | (~v110(constB146)))))) | v100(constB146) | ((~v101(constB146)) | (~v110(constB146)))),
% 15.43/10.71 inference(tautology,[status(thm)],[])).
% 15.43/10.71 tff(20290,plain,
% 15.43/10.71 (v100(constB146)),
% 15.43/10.71 inference(unit_resolution,[status(thm)],[20289, 20288, 13754])).
% 15.43/10.71 tff(20291,plain,
% 15.43/10.71 (((~![VarNext: $i] : ((~v100(VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v129(VarNext, B))))) | ((~v100(constB146)) | ![B: $i] : ((~less_3(B)) | (v90(constB146, B) <=> v129(constB146, B))))) <=> ((~![VarNext: $i] : ((~v100(VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v129(VarNext, B))))) | (~v100(constB146)) | ![B: $i] : ((~less_3(B)) | (v90(constB146, B) <=> v129(constB146, B))))),
% 15.43/10.71 inference(rewrite,[status(thm)],[])).
% 15.43/10.71 tff(20292,plain,
% 15.43/10.71 ((~![VarNext: $i] : ((~v100(VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v129(VarNext, B))))) | ((~v100(constB146)) | ![B: $i] : ((~less_3(B)) | (v90(constB146, B) <=> v129(constB146, B))))),
% 15.43/10.71 inference(quant_inst,[status(thm)],[])).
% 15.43/10.71 tff(20293,plain,
% 15.43/10.71 ((~![VarNext: $i] : ((~v100(VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v129(VarNext, B))))) | (~v100(constB146)) | ![B: $i] : ((~less_3(B)) | (v90(constB146, B) <=> v129(constB146, B)))),
% 15.43/10.71 inference(modus_ponens,[status(thm)],[20292, 20291])).
% 15.43/10.71 tff(20294,plain,
% 15.43/10.71 ((~v100(constB146)) | ![B: $i] : ((~less_3(B)) | (v90(constB146, B) <=> v129(constB146, B)))),
% 15.43/10.71 inference(unit_resolution,[status(thm)],[20293, 5134])).
% 15.43/10.71 tff(20295,plain,
% 15.43/10.71 (![B: $i] : ((~less_3(B)) | (v90(constB146, B) <=> v129(constB146, B)))),
% 15.43/10.71 inference(unit_resolution,[status(thm)],[20294, 20290])).
% 15.43/10.71 tff(20296,plain,
% 15.43/10.71 (((~![B: $i] : ((~less_3(B)) | (v90(constB146, B) <=> v129(constB146, B)))) | ((~less_3(bitIndex2)) | (v90(constB146, bitIndex2) <=> v129(constB146, bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v90(constB146, B) <=> v129(constB146, B)))) | (~less_3(bitIndex2)) | (v90(constB146, bitIndex2) <=> v129(constB146, bitIndex2)))),
% 15.43/10.71 inference(rewrite,[status(thm)],[])).
% 15.43/10.71 tff(20297,plain,
% 15.43/10.71 ((~![B: $i] : ((~less_3(B)) | (v90(constB146, B) <=> v129(constB146, B)))) | ((~less_3(bitIndex2)) | (v90(constB146, bitIndex2) <=> v129(constB146, bitIndex2)))),
% 15.51/10.71 inference(quant_inst,[status(thm)],[])).
% 15.51/10.71 tff(20298,plain,
% 15.51/10.71 ((~![B: $i] : ((~less_3(B)) | (v90(constB146, B) <=> v129(constB146, B)))) | (~less_3(bitIndex2)) | (v90(constB146, bitIndex2) <=> v129(constB146, bitIndex2))),
% 15.51/10.71 inference(modus_ponens,[status(thm)],[20297, 20296])).
% 15.51/10.71 tff(20299,plain,
% 15.51/10.71 (v90(constB146, bitIndex2) <=> v129(constB146, bitIndex2)),
% 15.51/10.71 inference(unit_resolution,[status(thm)],[20298, 413, 20295])).
% 15.51/10.71 tff(20300,plain,
% 15.51/10.71 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v129(VarNext, B) <=> v127(VarCurr, B))))) | ((~nextState(constB145, constB146)) | ![B: $i] : ((~less_3(B)) | (v129(constB146, B) <=> v127(constB145, B))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v129(VarNext, B) <=> v127(VarCurr, B))))) | (~nextState(constB145, constB146)) | ![B: $i] : ((~less_3(B)) | (v129(constB146, B) <=> v127(constB145, B))))),
% 15.51/10.71 inference(rewrite,[status(thm)],[])).
% 15.51/10.71 tff(20301,plain,
% 15.51/10.71 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v129(VarNext, B) <=> v127(VarCurr, B))))) | ((~nextState(constB145, constB146)) | ![B: $i] : ((~less_3(B)) | (v129(constB146, B) <=> v127(constB145, B))))),
% 15.51/10.71 inference(quant_inst,[status(thm)],[])).
% 15.51/10.71 tff(20302,plain,
% 15.51/10.71 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v129(VarNext, B) <=> v127(VarCurr, B))))) | (~nextState(constB145, constB146)) | ![B: $i] : ((~less_3(B)) | (v129(constB146, B) <=> v127(constB145, B)))),
% 15.51/10.71 inference(modus_ponens,[status(thm)],[20301, 20300])).
% 15.51/10.71 tff(20303,plain,
% 15.51/10.71 (![B: $i] : ((~less_3(B)) | (v129(constB146, B) <=> v127(constB145, B)))),
% 15.51/10.71 inference(unit_resolution,[status(thm)],[20302, 13750, 5156])).
% 15.51/10.71 tff(20304,plain,
% 15.51/10.71 (((~![B: $i] : ((~less_3(B)) | (v129(constB146, B) <=> v127(constB145, B)))) | ((~less_3(bitIndex2)) | (v129(constB146, bitIndex2) <=> v127(constB145, bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v129(constB146, B) <=> v127(constB145, B)))) | (~less_3(bitIndex2)) | (v129(constB146, bitIndex2) <=> v127(constB145, bitIndex2)))),
% 15.51/10.71 inference(rewrite,[status(thm)],[])).
% 15.51/10.71 tff(20305,plain,
% 15.51/10.71 ((~![B: $i] : ((~less_3(B)) | (v129(constB146, B) <=> v127(constB145, B)))) | ((~less_3(bitIndex2)) | (v129(constB146, bitIndex2) <=> v127(constB145, bitIndex2)))),
% 15.51/10.71 inference(quant_inst,[status(thm)],[])).
% 15.51/10.71 tff(20306,plain,
% 15.51/10.71 ((~![B: $i] : ((~less_3(B)) | (v129(constB146, B) <=> v127(constB145, B)))) | (~less_3(bitIndex2)) | (v129(constB146, bitIndex2) <=> v127(constB145, bitIndex2))),
% 15.51/10.71 inference(modus_ponens,[status(thm)],[20305, 20304])).
% 15.51/10.71 tff(20307,plain,
% 15.51/10.71 (v129(constB146, bitIndex2) <=> v127(constB145, bitIndex2)),
% 15.51/10.71 inference(unit_resolution,[status(thm)],[20306, 413, 20303])).
% 15.51/10.71 tff(20308,plain,
% 15.51/10.71 (((~![VarCurr: $i] : (v111(VarCurr) | ![B: $i] : ((~less_3(B)) | (v127(VarCurr, B) <=> v130(VarCurr, B))))) | (v111(constB145) | ![B: $i] : ((~less_3(B)) | (v127(constB145, B) <=> v130(constB145, B))))) <=> ((~![VarCurr: $i] : (v111(VarCurr) | ![B: $i] : ((~less_3(B)) | (v127(VarCurr, B) <=> v130(VarCurr, B))))) | v111(constB145) | ![B: $i] : ((~less_3(B)) | (v127(constB145, B) <=> v130(constB145, B))))),
% 15.51/10.71 inference(rewrite,[status(thm)],[])).
% 15.51/10.71 tff(20309,plain,
% 15.51/10.71 ((~![VarCurr: $i] : (v111(VarCurr) | ![B: $i] : ((~less_3(B)) | (v127(VarCurr, B) <=> v130(VarCurr, B))))) | (v111(constB145) | ![B: $i] : ((~less_3(B)) | (v127(constB145, B) <=> v130(constB145, B))))),
% 15.51/10.71 inference(quant_inst,[status(thm)],[])).
% 15.51/10.71 tff(20310,plain,
% 15.51/10.71 ((~![VarCurr: $i] : (v111(VarCurr) | ![B: $i] : ((~less_3(B)) | (v127(VarCurr, B) <=> v130(VarCurr, B))))) | v111(constB145) | ![B: $i] : ((~less_3(B)) | (v127(constB145, B) <=> v130(constB145, B)))),
% 15.51/10.71 inference(modus_ponens,[status(thm)],[20309, 20308])).
% 15.51/10.71 tff(20311,plain,
% 15.51/10.71 (![B: $i] : ((~less_3(B)) | (v127(constB145, B) <=> v130(constB145, B)))),
% 15.51/10.71 inference(unit_resolution,[status(thm)],[20310, 5177, 20272])).
% 15.51/10.72 tff(20312,plain,
% 15.51/10.72 (((~![B: $i] : ((~less_3(B)) | (v127(constB145, B) <=> v130(constB145, B)))) | ((~less_3(bitIndex2)) | (v127(constB145, bitIndex2) <=> v130(constB145, bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v127(constB145, B) <=> v130(constB145, B)))) | (~less_3(bitIndex2)) | (v127(constB145, bitIndex2) <=> v130(constB145, bitIndex2)))),
% 15.51/10.72 inference(rewrite,[status(thm)],[])).
% 15.51/10.72 tff(20313,plain,
% 15.51/10.72 ((~![B: $i] : ((~less_3(B)) | (v127(constB145, B) <=> v130(constB145, B)))) | ((~less_3(bitIndex2)) | (v127(constB145, bitIndex2) <=> v130(constB145, bitIndex2)))),
% 15.51/10.72 inference(quant_inst,[status(thm)],[])).
% 15.51/10.72 tff(20314,plain,
% 15.51/10.72 ((~![B: $i] : ((~less_3(B)) | (v127(constB145, B) <=> v130(constB145, B)))) | (~less_3(bitIndex2)) | (v127(constB145, bitIndex2) <=> v130(constB145, bitIndex2))),
% 15.51/10.72 inference(modus_ponens,[status(thm)],[20313, 20312])).
% 15.51/10.72 tff(20315,plain,
% 15.51/10.72 (v127(constB145, bitIndex2) <=> v130(constB145, bitIndex2)),
% 15.51/10.72 inference(unit_resolution,[status(thm)],[20314, 413, 20311])).
% 15.51/10.72 tff(20316,plain,
% 15.51/10.72 ((~![VarCurr: $i] : (v119(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))))) | (v119(constB145) <=> (~(v90(constB145, bitIndex0) | v90(constB145, bitIndex1) | v90(constB145, bitIndex2))))),
% 15.51/10.72 inference(quant_inst,[status(thm)],[])).
% 15.51/10.72 tff(20317,plain,
% 15.51/10.72 (v119(constB145) <=> (~(v90(constB145, bitIndex0) | v90(constB145, bitIndex1) | v90(constB145, bitIndex2)))),
% 15.51/10.72 inference(unit_resolution,[status(thm)],[20316, 4971])).
% 15.51/10.72 tff(20318,plain,
% 15.51/10.72 ((v90(constB145, bitIndex0) | v90(constB145, bitIndex1) | v90(constB145, bitIndex2)) | (~v90(constB145, bitIndex2))),
% 15.51/10.72 inference(tautology,[status(thm)],[])).
% 15.51/10.72 tff(20319,plain,
% 15.51/10.72 (v90(constB145, bitIndex0) | v90(constB145, bitIndex1) | v90(constB145, bitIndex2)),
% 15.51/10.72 inference(unit_resolution,[status(thm)],[20318, 20193])).
% 15.51/10.72 tff(20320,plain,
% 15.51/10.72 ((~(v119(constB145) <=> (~(v90(constB145, bitIndex0) | v90(constB145, bitIndex1) | v90(constB145, bitIndex2))))) | (~v119(constB145)) | (~(v90(constB145, bitIndex0) | v90(constB145, bitIndex1) | v90(constB145, bitIndex2)))),
% 15.51/10.72 inference(tautology,[status(thm)],[])).
% 15.51/10.72 tff(20321,plain,
% 15.51/10.72 (~v119(constB145)),
% 15.51/10.72 inference(unit_resolution,[status(thm)],[20320, 20319, 20317])).
% 15.51/10.72 tff(20322,plain,
% 15.51/10.72 (((~![VarCurr: $i] : (v124(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex2)))))) | (v124(constB145) <=> (~((~v90(constB145, bitIndex2)) | v90(constB145, bitIndex1) | (~v90(constB145, bitIndex0)))))) <=> ((~![VarCurr: $i] : (v124(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex2)))))) | (v124(constB145) <=> (~((~v90(constB145, bitIndex2)) | v90(constB145, bitIndex1) | (~v90(constB145, bitIndex0))))))),
% 15.51/10.72 inference(rewrite,[status(thm)],[])).
% 15.51/10.72 tff(20323,plain,
% 15.51/10.72 ((v124(constB145) <=> (~(v90(constB145, bitIndex1) | (~v90(constB145, bitIndex0)) | (~v90(constB145, bitIndex2))))) <=> (v124(constB145) <=> (~((~v90(constB145, bitIndex2)) | v90(constB145, bitIndex1) | (~v90(constB145, bitIndex0)))))),
% 15.51/10.72 inference(rewrite,[status(thm)],[])).
% 15.51/10.72 tff(20324,plain,
% 15.51/10.72 (((~![VarCurr: $i] : (v124(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex2)))))) | (v124(constB145) <=> (~(v90(constB145, bitIndex1) | (~v90(constB145, bitIndex0)) | (~v90(constB145, bitIndex2)))))) <=> ((~![VarCurr: $i] : (v124(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex2)))))) | (v124(constB145) <=> (~((~v90(constB145, bitIndex2)) | v90(constB145, bitIndex1) | (~v90(constB145, bitIndex0))))))),
% 15.51/10.72 inference(monotonicity,[status(thm)],[20323])).
% 15.51/10.72 tff(20325,plain,
% 15.51/10.72 (((~![VarCurr: $i] : (v124(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex2)))))) | (v124(constB145) <=> (~(v90(constB145, bitIndex1) | (~v90(constB145, bitIndex0)) | (~v90(constB145, bitIndex2)))))) <=> ((~![VarCurr: $i] : (v124(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex2)))))) | (v124(constB145) <=> (~((~v90(constB145, bitIndex2)) | v90(constB145, bitIndex1) | (~v90(constB145, bitIndex0))))))),
% 15.51/10.72 inference(transitivity,[status(thm)],[20324, 20322])).
% 15.51/10.72 tff(20326,plain,
% 15.51/10.72 ((~![VarCurr: $i] : (v124(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex2)))))) | (v124(constB145) <=> (~(v90(constB145, bitIndex1) | (~v90(constB145, bitIndex0)) | (~v90(constB145, bitIndex2)))))),
% 15.51/10.72 inference(quant_inst,[status(thm)],[])).
% 15.51/10.72 tff(20327,plain,
% 15.51/10.72 ((~![VarCurr: $i] : (v124(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex2)))))) | (v124(constB145) <=> (~((~v90(constB145, bitIndex2)) | v90(constB145, bitIndex1) | (~v90(constB145, bitIndex0)))))),
% 15.51/10.72 inference(modus_ponens,[status(thm)],[20326, 20325])).
% 15.51/10.72 tff(20328,plain,
% 15.51/10.72 (v124(constB145) <=> (~((~v90(constB145, bitIndex2)) | v90(constB145, bitIndex1) | (~v90(constB145, bitIndex0))))),
% 15.51/10.72 inference(unit_resolution,[status(thm)],[20327, 5539])).
% 15.51/10.72 tff(20329,plain,
% 15.51/10.72 (((~v90(constB145, bitIndex2)) | v90(constB145, bitIndex1) | (~v90(constB145, bitIndex0))) | (~v90(constB145, bitIndex1))),
% 15.51/10.72 inference(tautology,[status(thm)],[])).
% 15.51/10.72 tff(20330,plain,
% 15.51/10.72 ((~v90(constB145, bitIndex2)) | v90(constB145, bitIndex1) | (~v90(constB145, bitIndex0))),
% 15.51/10.72 inference(unit_resolution,[status(thm)],[20329, 20255])).
% 15.51/10.72 tff(20331,plain,
% 15.51/10.72 ((~(v124(constB145) <=> (~((~v90(constB145, bitIndex2)) | v90(constB145, bitIndex1) | (~v90(constB145, bitIndex0)))))) | (~v124(constB145)) | (~((~v90(constB145, bitIndex2)) | v90(constB145, bitIndex1) | (~v90(constB145, bitIndex0))))),
% 15.51/10.72 inference(tautology,[status(thm)],[])).
% 15.51/10.72 tff(20332,plain,
% 15.51/10.72 (~v124(constB145)),
% 15.51/10.72 inference(unit_resolution,[status(thm)],[20331, 20330, 20328])).
% 15.51/10.72 tff(20333,plain,
% 15.51/10.72 (((~![VarCurr: $i] : (v123(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)))))) | (v123(constB145) <=> (~((~v90(constB145, bitIndex2)) | v90(constB145, bitIndex1) | v90(constB145, bitIndex0))))) <=> ((~![VarCurr: $i] : (v123(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)))))) | (v123(constB145) <=> (~((~v90(constB145, bitIndex2)) | v90(constB145, bitIndex1) | v90(constB145, bitIndex0)))))),
% 15.51/10.72 inference(rewrite,[status(thm)],[])).
% 15.51/10.72 tff(20334,plain,
% 15.51/10.72 ((v123(constB145) <=> (~(v90(constB145, bitIndex0) | v90(constB145, bitIndex1) | (~v90(constB145, bitIndex2))))) <=> (v123(constB145) <=> (~((~v90(constB145, bitIndex2)) | v90(constB145, bitIndex1) | v90(constB145, bitIndex0))))),
% 15.51/10.72 inference(rewrite,[status(thm)],[])).
% 15.51/10.72 tff(20335,plain,
% 15.51/10.72 (((~![VarCurr: $i] : (v123(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)))))) | (v123(constB145) <=> (~(v90(constB145, bitIndex0) | v90(constB145, bitIndex1) | (~v90(constB145, bitIndex2)))))) <=> ((~![VarCurr: $i] : (v123(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)))))) | (v123(constB145) <=> (~((~v90(constB145, bitIndex2)) | v90(constB145, bitIndex1) | v90(constB145, bitIndex0)))))),
% 15.51/10.72 inference(monotonicity,[status(thm)],[20334])).
% 15.51/10.72 tff(20336,plain,
% 15.51/10.72 (((~![VarCurr: $i] : (v123(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)))))) | (v123(constB145) <=> (~(v90(constB145, bitIndex0) | v90(constB145, bitIndex1) | (~v90(constB145, bitIndex2)))))) <=> ((~![VarCurr: $i] : (v123(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)))))) | (v123(constB145) <=> (~((~v90(constB145, bitIndex2)) | v90(constB145, bitIndex1) | v90(constB145, bitIndex0)))))),
% 15.51/10.72 inference(transitivity,[status(thm)],[20335, 20333])).
% 15.51/10.72 tff(20337,plain,
% 15.51/10.72 ((~![VarCurr: $i] : (v123(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)))))) | (v123(constB145) <=> (~(v90(constB145, bitIndex0) | v90(constB145, bitIndex1) | (~v90(constB145, bitIndex2)))))),
% 15.51/10.72 inference(quant_inst,[status(thm)],[])).
% 15.51/10.72 tff(20338,plain,
% 15.51/10.72 ((~![VarCurr: $i] : (v123(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)))))) | (v123(constB145) <=> (~((~v90(constB145, bitIndex2)) | v90(constB145, bitIndex1) | v90(constB145, bitIndex0))))),
% 15.51/10.72 inference(modus_ponens,[status(thm)],[20337, 20336])).
% 15.51/10.72 tff(20339,plain,
% 15.51/10.72 (v123(constB145) <=> (~((~v90(constB145, bitIndex2)) | v90(constB145, bitIndex1) | v90(constB145, bitIndex0)))),
% 15.51/10.72 inference(unit_resolution,[status(thm)],[20338, 621])).
% 15.51/10.72 tff(20340,plain,
% 15.51/10.72 (((~v90(constB145, bitIndex2)) | v90(constB145, bitIndex1) | v90(constB145, bitIndex0)) | (~v90(constB145, bitIndex1))),
% 15.51/10.72 inference(tautology,[status(thm)],[])).
% 15.51/10.72 tff(20341,plain,
% 15.51/10.72 ((~v90(constB145, bitIndex2)) | v90(constB145, bitIndex1) | v90(constB145, bitIndex0)),
% 15.51/10.72 inference(unit_resolution,[status(thm)],[20340, 20255])).
% 15.51/10.72 tff(20342,plain,
% 15.51/10.72 ((~(v123(constB145) <=> (~((~v90(constB145, bitIndex2)) | v90(constB145, bitIndex1) | v90(constB145, bitIndex0))))) | (~v123(constB145)) | (~((~v90(constB145, bitIndex2)) | v90(constB145, bitIndex1) | v90(constB145, bitIndex0)))),
% 15.51/10.72 inference(tautology,[status(thm)],[])).
% 15.51/10.72 tff(20343,plain,
% 15.51/10.72 (~v123(constB145)),
% 15.51/10.72 inference(unit_resolution,[status(thm)],[20342, 20341, 20339])).
% 15.51/10.72 tff(20344,plain,
% 15.51/10.72 (((~![VarCurr: $i] : (v122(VarCurr) <=> (~(v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)))))) | (v122(constB145) <=> (~(v90(constB145, bitIndex2) | (~v90(constB145, bitIndex1)) | (~v90(constB145, bitIndex0)))))) <=> ((~![VarCurr: $i] : (v122(VarCurr) <=> (~(v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)))))) | (v122(constB145) <=> (~(v90(constB145, bitIndex2) | (~v90(constB145, bitIndex1)) | (~v90(constB145, bitIndex0))))))),
% 15.51/10.72 inference(rewrite,[status(thm)],[])).
% 15.51/10.72 tff(20345,plain,
% 15.51/10.72 ((v122(constB145) <=> (~(v90(constB145, bitIndex2) | (~v90(constB145, bitIndex0)) | (~v90(constB145, bitIndex1))))) <=> (v122(constB145) <=> (~(v90(constB145, bitIndex2) | (~v90(constB145, bitIndex1)) | (~v90(constB145, bitIndex0)))))),
% 15.51/10.72 inference(rewrite,[status(thm)],[])).
% 15.51/10.72 tff(20346,plain,
% 15.51/10.72 (((~![VarCurr: $i] : (v122(VarCurr) <=> (~(v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)))))) | (v122(constB145) <=> (~(v90(constB145, bitIndex2) | (~v90(constB145, bitIndex0)) | (~v90(constB145, bitIndex1)))))) <=> ((~![VarCurr: $i] : (v122(VarCurr) <=> (~(v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)))))) | (v122(constB145) <=> (~(v90(constB145, bitIndex2) | (~v90(constB145, bitIndex1)) | (~v90(constB145, bitIndex0))))))),
% 15.51/10.72 inference(monotonicity,[status(thm)],[20345])).
% 15.51/10.72 tff(20347,plain,
% 15.51/10.72 (((~![VarCurr: $i] : (v122(VarCurr) <=> (~(v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)))))) | (v122(constB145) <=> (~(v90(constB145, bitIndex2) | (~v90(constB145, bitIndex0)) | (~v90(constB145, bitIndex1)))))) <=> ((~![VarCurr: $i] : (v122(VarCurr) <=> (~(v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)))))) | (v122(constB145) <=> (~(v90(constB145, bitIndex2) | (~v90(constB145, bitIndex1)) | (~v90(constB145, bitIndex0))))))),
% 15.51/10.72 inference(transitivity,[status(thm)],[20346, 20344])).
% 15.51/10.72 tff(20348,plain,
% 15.51/10.72 ((~![VarCurr: $i] : (v122(VarCurr) <=> (~(v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)))))) | (v122(constB145) <=> (~(v90(constB145, bitIndex2) | (~v90(constB145, bitIndex0)) | (~v90(constB145, bitIndex1)))))),
% 15.51/10.72 inference(quant_inst,[status(thm)],[])).
% 15.51/10.72 tff(20349,plain,
% 15.51/10.72 ((~![VarCurr: $i] : (v122(VarCurr) <=> (~(v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)))))) | (v122(constB145) <=> (~(v90(constB145, bitIndex2) | (~v90(constB145, bitIndex1)) | (~v90(constB145, bitIndex0)))))),
% 15.51/10.72 inference(modus_ponens,[status(thm)],[20348, 20347])).
% 15.51/10.72 tff(20350,plain,
% 15.51/10.72 (v122(constB145) <=> (~(v90(constB145, bitIndex2) | (~v90(constB145, bitIndex1)) | (~v90(constB145, bitIndex0))))),
% 15.51/10.73 inference(unit_resolution,[status(thm)],[20349, 734])).
% 15.51/10.73 tff(20351,plain,
% 15.51/10.73 ((v90(constB145, bitIndex2) | (~v90(constB145, bitIndex1)) | (~v90(constB145, bitIndex0))) | (~v90(constB145, bitIndex2))),
% 15.51/10.73 inference(tautology,[status(thm)],[])).
% 15.51/10.73 tff(20352,plain,
% 15.51/10.73 (v90(constB145, bitIndex2) | (~v90(constB145, bitIndex1)) | (~v90(constB145, bitIndex0))),
% 15.51/10.73 inference(unit_resolution,[status(thm)],[20351, 20193])).
% 15.51/10.73 tff(20353,plain,
% 15.51/10.73 ((~(v122(constB145) <=> (~(v90(constB145, bitIndex2) | (~v90(constB145, bitIndex1)) | (~v90(constB145, bitIndex0)))))) | (~v122(constB145)) | (~(v90(constB145, bitIndex2) | (~v90(constB145, bitIndex1)) | (~v90(constB145, bitIndex0))))),
% 15.51/10.73 inference(tautology,[status(thm)],[])).
% 15.51/10.73 tff(20354,plain,
% 15.51/10.73 (~v122(constB145)),
% 15.51/10.73 inference(unit_resolution,[status(thm)],[20353, 20352, 20350])).
% 15.51/10.73 tff(20355,plain,
% 15.51/10.73 (((~![VarCurr: $i] : (v121(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex1)))))) | (v121(constB145) <=> (~(v90(constB145, bitIndex2) | (~v90(constB145, bitIndex1)) | v90(constB145, bitIndex0))))) <=> ((~![VarCurr: $i] : (v121(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex1)))))) | (v121(constB145) <=> (~(v90(constB145, bitIndex2) | (~v90(constB145, bitIndex1)) | v90(constB145, bitIndex0)))))),
% 15.51/10.73 inference(rewrite,[status(thm)],[])).
% 15.51/10.73 tff(20356,plain,
% 15.51/10.73 ((v121(constB145) <=> (~(v90(constB145, bitIndex0) | v90(constB145, bitIndex2) | (~v90(constB145, bitIndex1))))) <=> (v121(constB145) <=> (~(v90(constB145, bitIndex2) | (~v90(constB145, bitIndex1)) | v90(constB145, bitIndex0))))),
% 15.51/10.73 inference(rewrite,[status(thm)],[])).
% 15.51/10.73 tff(20357,plain,
% 15.51/10.73 (((~![VarCurr: $i] : (v121(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex1)))))) | (v121(constB145) <=> (~(v90(constB145, bitIndex0) | v90(constB145, bitIndex2) | (~v90(constB145, bitIndex1)))))) <=> ((~![VarCurr: $i] : (v121(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex1)))))) | (v121(constB145) <=> (~(v90(constB145, bitIndex2) | (~v90(constB145, bitIndex1)) | v90(constB145, bitIndex0)))))),
% 15.51/10.73 inference(monotonicity,[status(thm)],[20356])).
% 15.51/10.73 tff(20358,plain,
% 15.51/10.73 (((~![VarCurr: $i] : (v121(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex1)))))) | (v121(constB145) <=> (~(v90(constB145, bitIndex0) | v90(constB145, bitIndex2) | (~v90(constB145, bitIndex1)))))) <=> ((~![VarCurr: $i] : (v121(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex1)))))) | (v121(constB145) <=> (~(v90(constB145, bitIndex2) | (~v90(constB145, bitIndex1)) | v90(constB145, bitIndex0)))))),
% 15.51/10.73 inference(transitivity,[status(thm)],[20357, 20355])).
% 15.51/10.73 tff(20359,plain,
% 15.51/10.73 ((~![VarCurr: $i] : (v121(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex1)))))) | (v121(constB145) <=> (~(v90(constB145, bitIndex0) | v90(constB145, bitIndex2) | (~v90(constB145, bitIndex1)))))),
% 15.51/10.73 inference(quant_inst,[status(thm)],[])).
% 15.51/10.73 tff(20360,plain,
% 15.51/10.73 ((~![VarCurr: $i] : (v121(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex1)))))) | (v121(constB145) <=> (~(v90(constB145, bitIndex2) | (~v90(constB145, bitIndex1)) | v90(constB145, bitIndex0))))),
% 15.51/10.73 inference(modus_ponens,[status(thm)],[20359, 20358])).
% 15.51/10.73 tff(20361,plain,
% 15.51/10.73 (v121(constB145) <=> (~(v90(constB145, bitIndex2) | (~v90(constB145, bitIndex1)) | v90(constB145, bitIndex0)))),
% 15.51/10.73 inference(unit_resolution,[status(thm)],[20360, 849])).
% 15.51/10.73 tff(20362,plain,
% 15.51/10.73 ((v90(constB145, bitIndex2) | (~v90(constB145, bitIndex1)) | v90(constB145, bitIndex0)) | (~v90(constB145, bitIndex2))),
% 15.51/10.73 inference(tautology,[status(thm)],[])).
% 15.51/10.73 tff(20363,plain,
% 15.51/10.73 (v90(constB145, bitIndex2) | (~v90(constB145, bitIndex1)) | v90(constB145, bitIndex0)),
% 15.51/10.73 inference(unit_resolution,[status(thm)],[20362, 20193])).
% 15.51/10.73 tff(20364,plain,
% 15.51/10.73 ((~(v121(constB145) <=> (~(v90(constB145, bitIndex2) | (~v90(constB145, bitIndex1)) | v90(constB145, bitIndex0))))) | (~v121(constB145)) | (~(v90(constB145, bitIndex2) | (~v90(constB145, bitIndex1)) | v90(constB145, bitIndex0)))),
% 15.51/10.73 inference(tautology,[status(thm)],[])).
% 15.51/10.73 tff(20365,plain,
% 15.51/10.73 (~v121(constB145)),
% 15.51/10.73 inference(unit_resolution,[status(thm)],[20364, 20363, 20361])).
% 15.51/10.73 tff(20366,plain,
% 15.51/10.73 (((~![VarCurr: $i] : (v120(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)))))) | (v120(constB145) <=> (~(v90(constB145, bitIndex2) | v90(constB145, bitIndex1) | (~v90(constB145, bitIndex0)))))) <=> ((~![VarCurr: $i] : (v120(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)))))) | (v120(constB145) <=> (~(v90(constB145, bitIndex2) | v90(constB145, bitIndex1) | (~v90(constB145, bitIndex0))))))),
% 15.51/10.73 inference(rewrite,[status(thm)],[])).
% 15.51/10.73 tff(20367,plain,
% 15.51/10.73 ((v120(constB145) <=> (~(v90(constB145, bitIndex1) | v90(constB145, bitIndex2) | (~v90(constB145, bitIndex0))))) <=> (v120(constB145) <=> (~(v90(constB145, bitIndex2) | v90(constB145, bitIndex1) | (~v90(constB145, bitIndex0)))))),
% 15.51/10.73 inference(rewrite,[status(thm)],[])).
% 15.51/10.73 tff(20368,plain,
% 15.51/10.73 (((~![VarCurr: $i] : (v120(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)))))) | (v120(constB145) <=> (~(v90(constB145, bitIndex1) | v90(constB145, bitIndex2) | (~v90(constB145, bitIndex0)))))) <=> ((~![VarCurr: $i] : (v120(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)))))) | (v120(constB145) <=> (~(v90(constB145, bitIndex2) | v90(constB145, bitIndex1) | (~v90(constB145, bitIndex0))))))),
% 15.51/10.73 inference(monotonicity,[status(thm)],[20367])).
% 15.51/10.73 tff(20369,plain,
% 15.51/10.73 (((~![VarCurr: $i] : (v120(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)))))) | (v120(constB145) <=> (~(v90(constB145, bitIndex1) | v90(constB145, bitIndex2) | (~v90(constB145, bitIndex0)))))) <=> ((~![VarCurr: $i] : (v120(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)))))) | (v120(constB145) <=> (~(v90(constB145, bitIndex2) | v90(constB145, bitIndex1) | (~v90(constB145, bitIndex0))))))),
% 15.51/10.73 inference(transitivity,[status(thm)],[20368, 20366])).
% 15.51/10.73 tff(20370,plain,
% 15.51/10.73 ((~![VarCurr: $i] : (v120(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)))))) | (v120(constB145) <=> (~(v90(constB145, bitIndex1) | v90(constB145, bitIndex2) | (~v90(constB145, bitIndex0)))))),
% 15.51/10.73 inference(quant_inst,[status(thm)],[])).
% 15.51/10.73 tff(20371,plain,
% 15.51/10.73 ((~![VarCurr: $i] : (v120(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)))))) | (v120(constB145) <=> (~(v90(constB145, bitIndex2) | v90(constB145, bitIndex1) | (~v90(constB145, bitIndex0)))))),
% 15.51/10.73 inference(modus_ponens,[status(thm)],[20370, 20369])).
% 15.51/10.73 tff(20372,plain,
% 15.51/10.73 (v120(constB145) <=> (~(v90(constB145, bitIndex2) | v90(constB145, bitIndex1) | (~v90(constB145, bitIndex0))))),
% 15.51/10.73 inference(unit_resolution,[status(thm)],[20371, 966])).
% 15.51/10.73 tff(20373,plain,
% 15.51/10.73 ((v90(constB145, bitIndex2) | v90(constB145, bitIndex1) | (~v90(constB145, bitIndex0))) | (~v90(constB145, bitIndex2))),
% 15.51/10.73 inference(tautology,[status(thm)],[])).
% 15.51/10.73 tff(20374,plain,
% 15.51/10.73 (v90(constB145, bitIndex2) | v90(constB145, bitIndex1) | (~v90(constB145, bitIndex0))),
% 15.51/10.73 inference(unit_resolution,[status(thm)],[20373, 20193])).
% 15.51/10.73 tff(20375,plain,
% 15.51/10.73 ((~(v120(constB145) <=> (~(v90(constB145, bitIndex2) | v90(constB145, bitIndex1) | (~v90(constB145, bitIndex0)))))) | (~v120(constB145)) | (~(v90(constB145, bitIndex2) | v90(constB145, bitIndex1) | (~v90(constB145, bitIndex0))))),
% 15.51/10.73 inference(tautology,[status(thm)],[])).
% 15.51/10.73 tff(20376,plain,
% 15.51/10.73 (~v120(constB145)),
% 15.51/10.73 inference(unit_resolution,[status(thm)],[20375, 20374, 20372])).
% 15.51/10.73 tff(20377,plain,
% 15.51/10.73 (((~![VarCurr: $i] : (v124(VarCurr) | v123(VarCurr) | v122(VarCurr) | v121(VarCurr) | v120(VarCurr) | v119(VarCurr) | ![B: $i] : ((~less_3(B)) | (v130(VarCurr, B) <=> b001(B))))) | (v119(constB145) | v120(constB145) | v121(constB145) | v122(constB145) | v123(constB145) | v124(constB145) | ![B: $i] : ((~less_3(B)) | (v130(constB145, B) <=> b001(B))))) <=> ((~![VarCurr: $i] : (v124(VarCurr) | v123(VarCurr) | v122(VarCurr) | v121(VarCurr) | v120(VarCurr) | v119(VarCurr) | ![B: $i] : ((~less_3(B)) | (v130(VarCurr, B) <=> b001(B))))) | v119(constB145) | v120(constB145) | v121(constB145) | v122(constB145) | v123(constB145) | v124(constB145) | ![B: $i] : ((~less_3(B)) | (v130(constB145, B) <=> b001(B))))),
% 15.51/10.73 inference(rewrite,[status(thm)],[])).
% 15.51/10.73 tff(20378,plain,
% 15.51/10.73 ((v124(constB145) | v123(constB145) | v122(constB145) | v121(constB145) | v120(constB145) | v119(constB145) | ![B: $i] : ((~less_3(B)) | (v130(constB145, B) <=> b001(B)))) <=> (v119(constB145) | v120(constB145) | v121(constB145) | v122(constB145) | v123(constB145) | v124(constB145) | ![B: $i] : ((~less_3(B)) | (v130(constB145, B) <=> b001(B))))),
% 15.51/10.73 inference(rewrite,[status(thm)],[])).
% 15.51/10.73 tff(20379,plain,
% 15.51/10.73 (((~![VarCurr: $i] : (v124(VarCurr) | v123(VarCurr) | v122(VarCurr) | v121(VarCurr) | v120(VarCurr) | v119(VarCurr) | ![B: $i] : ((~less_3(B)) | (v130(VarCurr, B) <=> b001(B))))) | (v124(constB145) | v123(constB145) | v122(constB145) | v121(constB145) | v120(constB145) | v119(constB145) | ![B: $i] : ((~less_3(B)) | (v130(constB145, B) <=> b001(B))))) <=> ((~![VarCurr: $i] : (v124(VarCurr) | v123(VarCurr) | v122(VarCurr) | v121(VarCurr) | v120(VarCurr) | v119(VarCurr) | ![B: $i] : ((~less_3(B)) | (v130(VarCurr, B) <=> b001(B))))) | (v119(constB145) | v120(constB145) | v121(constB145) | v122(constB145) | v123(constB145) | v124(constB145) | ![B: $i] : ((~less_3(B)) | (v130(constB145, B) <=> b001(B)))))),
% 15.51/10.73 inference(monotonicity,[status(thm)],[20378])).
% 15.51/10.73 tff(20380,plain,
% 15.51/10.73 (((~![VarCurr: $i] : (v124(VarCurr) | v123(VarCurr) | v122(VarCurr) | v121(VarCurr) | v120(VarCurr) | v119(VarCurr) | ![B: $i] : ((~less_3(B)) | (v130(VarCurr, B) <=> b001(B))))) | (v124(constB145) | v123(constB145) | v122(constB145) | v121(constB145) | v120(constB145) | v119(constB145) | ![B: $i] : ((~less_3(B)) | (v130(constB145, B) <=> b001(B))))) <=> ((~![VarCurr: $i] : (v124(VarCurr) | v123(VarCurr) | v122(VarCurr) | v121(VarCurr) | v120(VarCurr) | v119(VarCurr) | ![B: $i] : ((~less_3(B)) | (v130(VarCurr, B) <=> b001(B))))) | v119(constB145) | v120(constB145) | v121(constB145) | v122(constB145) | v123(constB145) | v124(constB145) | ![B: $i] : ((~less_3(B)) | (v130(constB145, B) <=> b001(B))))),
% 15.51/10.73 inference(transitivity,[status(thm)],[20379, 20377])).
% 15.51/10.73 tff(20381,plain,
% 15.51/10.73 ((~![VarCurr: $i] : (v124(VarCurr) | v123(VarCurr) | v122(VarCurr) | v121(VarCurr) | v120(VarCurr) | v119(VarCurr) | ![B: $i] : ((~less_3(B)) | (v130(VarCurr, B) <=> b001(B))))) | (v124(constB145) | v123(constB145) | v122(constB145) | v121(constB145) | v120(constB145) | v119(constB145) | ![B: $i] : ((~less_3(B)) | (v130(constB145, B) <=> b001(B))))),
% 15.51/10.73 inference(quant_inst,[status(thm)],[])).
% 15.51/10.73 tff(20382,plain,
% 15.51/10.73 ((~![VarCurr: $i] : (v124(VarCurr) | v123(VarCurr) | v122(VarCurr) | v121(VarCurr) | v120(VarCurr) | v119(VarCurr) | ![B: $i] : ((~less_3(B)) | (v130(VarCurr, B) <=> b001(B))))) | v119(constB145) | v120(constB145) | v121(constB145) | v122(constB145) | v123(constB145) | v124(constB145) | ![B: $i] : ((~less_3(B)) | (v130(constB145, B) <=> b001(B)))),
% 15.51/10.73 inference(modus_ponens,[status(thm)],[20381, 20380])).
% 15.51/10.73 tff(20383,plain,
% 15.51/10.73 (v119(constB145) | v120(constB145) | v121(constB145) | v122(constB145) | v123(constB145) | v124(constB145) | ![B: $i] : ((~less_3(B)) | (v130(constB145, B) <=> b001(B)))),
% 15.51/10.73 inference(unit_resolution,[status(thm)],[20382, 5610])).
% 15.51/10.73 tff(20384,plain,
% 15.51/10.73 (![B: $i] : ((~less_3(B)) | (v130(constB145, B) <=> b001(B)))),
% 15.51/10.73 inference(unit_resolution,[status(thm)],[20383, 20376, 20365, 20354, 20343, 20332, 20321])).
% 15.51/10.73 tff(20385,plain,
% 15.51/10.73 (((~![B: $i] : ((~less_3(B)) | (v130(constB145, B) <=> b001(B)))) | ((~less_3(bitIndex2)) | (v130(constB145, bitIndex2) <=> b001(bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v130(constB145, B) <=> b001(B)))) | (~less_3(bitIndex2)) | (v130(constB145, bitIndex2) <=> b001(bitIndex2)))),
% 15.51/10.74 inference(rewrite,[status(thm)],[])).
% 15.51/10.74 tff(20386,plain,
% 15.51/10.74 ((~![B: $i] : ((~less_3(B)) | (v130(constB145, B) <=> b001(B)))) | ((~less_3(bitIndex2)) | (v130(constB145, bitIndex2) <=> b001(bitIndex2)))),
% 15.51/10.74 inference(quant_inst,[status(thm)],[])).
% 15.51/10.74 tff(20387,plain,
% 15.51/10.74 ((~![B: $i] : ((~less_3(B)) | (v130(constB145, B) <=> b001(B)))) | (~less_3(bitIndex2)) | (v130(constB145, bitIndex2) <=> b001(bitIndex2))),
% 15.51/10.74 inference(modus_ponens,[status(thm)],[20386, 20385])).
% 15.51/10.74 tff(20388,plain,
% 15.51/10.74 (v130(constB145, bitIndex2) <=> b001(bitIndex2)),
% 15.51/10.74 inference(unit_resolution,[status(thm)],[20387, 413, 20384])).
% 15.51/10.74 tff(20389,plain,
% 15.51/10.74 ((~(v130(constB145, bitIndex2) <=> b001(bitIndex2))) | (~v130(constB145, bitIndex2)) | b001(bitIndex2)),
% 15.51/10.74 inference(tautology,[status(thm)],[])).
% 15.51/10.74 tff(20390,plain,
% 15.51/10.74 ((~(v130(constB145, bitIndex2) <=> b001(bitIndex2))) | (~v130(constB145, bitIndex2))),
% 15.51/10.74 inference(unit_resolution,[status(thm)],[20389, 5625])).
% 15.51/10.74 tff(20391,plain,
% 15.51/10.74 (~v130(constB145, bitIndex2)),
% 15.51/10.74 inference(unit_resolution,[status(thm)],[20390, 20388])).
% 15.51/10.74 tff(20392,plain,
% 15.51/10.74 ((~(v127(constB145, bitIndex2) <=> v130(constB145, bitIndex2))) | (~v127(constB145, bitIndex2)) | v130(constB145, bitIndex2)),
% 15.51/10.74 inference(tautology,[status(thm)],[])).
% 15.51/10.74 tff(20393,plain,
% 15.51/10.74 (~v127(constB145, bitIndex2)),
% 15.51/10.74 inference(unit_resolution,[status(thm)],[20392, 20391, 20315])).
% 15.51/10.74 tff(20394,plain,
% 15.51/10.74 ((~(v129(constB146, bitIndex2) <=> v127(constB145, bitIndex2))) | (~v129(constB146, bitIndex2)) | v127(constB145, bitIndex2)),
% 15.51/10.74 inference(tautology,[status(thm)],[])).
% 15.51/10.74 tff(20395,plain,
% 15.51/10.74 (~v129(constB146, bitIndex2)),
% 15.51/10.74 inference(unit_resolution,[status(thm)],[20394, 20393, 20307])).
% 15.51/10.74 tff(20396,plain,
% 15.51/10.74 ((~(v90(constB146, bitIndex2) <=> v129(constB146, bitIndex2))) | (~v90(constB146, bitIndex2)) | v129(constB146, bitIndex2)),
% 15.51/10.74 inference(tautology,[status(thm)],[])).
% 15.51/10.74 tff(20397,plain,
% 15.51/10.74 (~v90(constB146, bitIndex2)),
% 15.51/10.74 inference(unit_resolution,[status(thm)],[20396, 20395, 20299])).
% 15.51/10.74 tff(20398,plain,
% 15.51/10.74 ((~(v90(constB147, bitIndex2) <=> v90(constB146, bitIndex2))) | (~v90(constB147, bitIndex2)) | v90(constB146, bitIndex2)),
% 15.51/10.74 inference(tautology,[status(thm)],[])).
% 15.51/10.74 tff(20399,plain,
% 15.51/10.74 (~v90(constB147, bitIndex2)),
% 15.51/10.74 inference(unit_resolution,[status(thm)],[20398, 20397, 13747])).
% 15.51/10.74 tff(20400,plain,
% 15.51/10.74 ((~(v88(constB147, bitIndex2) <=> v90(constB147, bitIndex2))) | (~v88(constB147, bitIndex2)) | v90(constB147, bitIndex2)),
% 15.51/10.74 inference(tautology,[status(thm)],[])).
% 15.51/10.74 tff(20401,plain,
% 15.51/10.74 (~v88(constB147, bitIndex2)),
% 15.51/10.74 inference(unit_resolution,[status(thm)],[20400, 20399, 13715])).
% 15.51/10.74 tff(20402,plain,
% 15.51/10.74 (((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | ((~less_3(bitIndex0)) | (v88(constB147, bitIndex0) <=> v90(constB147, bitIndex0)))) <=> ((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | (~less_3(bitIndex0)) | (v88(constB147, bitIndex0) <=> v90(constB147, bitIndex0)))),
% 15.51/10.74 inference(rewrite,[status(thm)],[])).
% 15.51/10.74 tff(20403,plain,
% 15.51/10.74 ((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | ((~less_3(bitIndex0)) | (v88(constB147, bitIndex0) <=> v90(constB147, bitIndex0)))),
% 15.51/10.74 inference(quant_inst,[status(thm)],[])).
% 15.51/10.74 tff(20404,plain,
% 15.51/10.74 ((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | (~less_3(bitIndex0)) | (v88(constB147, bitIndex0) <=> v90(constB147, bitIndex0))),
% 15.51/10.74 inference(modus_ponens,[status(thm)],[20403, 20402])).
% 15.51/10.74 tff(20405,plain,
% 15.51/10.74 (v88(constB147, bitIndex0) <=> v90(constB147, bitIndex0)),
% 15.51/10.74 inference(unit_resolution,[status(thm)],[20404, 5004, 410])).
% 15.51/10.74 tff(20406,plain,
% 15.51/10.74 (((~![B: $i] : ((~less_3(B)) | (v90(constB147, B) <=> v90(constB146, B)))) | ((~less_3(bitIndex0)) | (v90(constB147, bitIndex0) <=> v90(constB146, bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v90(constB147, B) <=> v90(constB146, B)))) | (~less_3(bitIndex0)) | (v90(constB147, bitIndex0) <=> v90(constB146, bitIndex0)))),
% 15.51/10.74 inference(rewrite,[status(thm)],[])).
% 15.51/10.74 tff(20407,plain,
% 15.51/10.74 ((~![B: $i] : ((~less_3(B)) | (v90(constB147, B) <=> v90(constB146, B)))) | ((~less_3(bitIndex0)) | (v90(constB147, bitIndex0) <=> v90(constB146, bitIndex0)))),
% 15.51/10.74 inference(quant_inst,[status(thm)],[])).
% 15.51/10.74 tff(20408,plain,
% 15.51/10.74 ((~![B: $i] : ((~less_3(B)) | (v90(constB147, B) <=> v90(constB146, B)))) | (~less_3(bitIndex0)) | (v90(constB147, bitIndex0) <=> v90(constB146, bitIndex0))),
% 15.51/10.74 inference(modus_ponens,[status(thm)],[20407, 20406])).
% 15.51/10.74 tff(20409,plain,
% 15.51/10.74 (v90(constB147, bitIndex0) <=> v90(constB146, bitIndex0)),
% 15.51/10.74 inference(unit_resolution,[status(thm)],[20408, 5004, 13743])).
% 15.51/10.74 tff(20410,plain,
% 15.51/10.74 (((~![B: $i] : ((~less_3(B)) | (v90(constB146, B) <=> v129(constB146, B)))) | ((~less_3(bitIndex0)) | (v90(constB146, bitIndex0) <=> v129(constB146, bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v90(constB146, B) <=> v129(constB146, B)))) | (~less_3(bitIndex0)) | (v90(constB146, bitIndex0) <=> v129(constB146, bitIndex0)))),
% 15.51/10.74 inference(rewrite,[status(thm)],[])).
% 15.51/10.74 tff(20411,plain,
% 15.51/10.74 ((~![B: $i] : ((~less_3(B)) | (v90(constB146, B) <=> v129(constB146, B)))) | ((~less_3(bitIndex0)) | (v90(constB146, bitIndex0) <=> v129(constB146, bitIndex0)))),
% 15.51/10.74 inference(quant_inst,[status(thm)],[])).
% 15.51/10.74 tff(20412,plain,
% 15.51/10.74 ((~![B: $i] : ((~less_3(B)) | (v90(constB146, B) <=> v129(constB146, B)))) | (~less_3(bitIndex0)) | (v90(constB146, bitIndex0) <=> v129(constB146, bitIndex0))),
% 15.51/10.74 inference(modus_ponens,[status(thm)],[20411, 20410])).
% 15.51/10.74 tff(20413,plain,
% 15.51/10.74 (v90(constB146, bitIndex0) <=> v129(constB146, bitIndex0)),
% 15.51/10.74 inference(unit_resolution,[status(thm)],[20412, 5004, 20295])).
% 15.51/10.74 tff(20414,plain,
% 15.51/10.74 (((~![B: $i] : ((~less_3(B)) | (v129(constB146, B) <=> v127(constB145, B)))) | ((~less_3(bitIndex0)) | (v129(constB146, bitIndex0) <=> v127(constB145, bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v129(constB146, B) <=> v127(constB145, B)))) | (~less_3(bitIndex0)) | (v129(constB146, bitIndex0) <=> v127(constB145, bitIndex0)))),
% 15.51/10.74 inference(rewrite,[status(thm)],[])).
% 15.51/10.74 tff(20415,plain,
% 15.51/10.74 ((~![B: $i] : ((~less_3(B)) | (v129(constB146, B) <=> v127(constB145, B)))) | ((~less_3(bitIndex0)) | (v129(constB146, bitIndex0) <=> v127(constB145, bitIndex0)))),
% 15.51/10.74 inference(quant_inst,[status(thm)],[])).
% 15.51/10.74 tff(20416,plain,
% 15.51/10.74 ((~![B: $i] : ((~less_3(B)) | (v129(constB146, B) <=> v127(constB145, B)))) | (~less_3(bitIndex0)) | (v129(constB146, bitIndex0) <=> v127(constB145, bitIndex0))),
% 15.51/10.74 inference(modus_ponens,[status(thm)],[20415, 20414])).
% 15.51/10.74 tff(20417,plain,
% 15.51/10.74 (v129(constB146, bitIndex0) <=> v127(constB145, bitIndex0)),
% 15.51/10.74 inference(unit_resolution,[status(thm)],[20416, 5004, 20303])).
% 15.51/10.74 tff(20418,plain,
% 15.51/10.74 (((~![B: $i] : ((~less_3(B)) | (v127(constB145, B) <=> v130(constB145, B)))) | ((~less_3(bitIndex0)) | (v127(constB145, bitIndex0) <=> v130(constB145, bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v127(constB145, B) <=> v130(constB145, B)))) | (~less_3(bitIndex0)) | (v127(constB145, bitIndex0) <=> v130(constB145, bitIndex0)))),
% 15.51/10.74 inference(rewrite,[status(thm)],[])).
% 15.51/10.74 tff(20419,plain,
% 15.51/10.74 ((~![B: $i] : ((~less_3(B)) | (v127(constB145, B) <=> v130(constB145, B)))) | ((~less_3(bitIndex0)) | (v127(constB145, bitIndex0) <=> v130(constB145, bitIndex0)))),
% 15.51/10.74 inference(quant_inst,[status(thm)],[])).
% 15.51/10.74 tff(20420,plain,
% 15.51/10.74 ((~![B: $i] : ((~less_3(B)) | (v127(constB145, B) <=> v130(constB145, B)))) | (~less_3(bitIndex0)) | (v127(constB145, bitIndex0) <=> v130(constB145, bitIndex0))),
% 15.51/10.74 inference(modus_ponens,[status(thm)],[20419, 20418])).
% 15.51/10.74 tff(20421,plain,
% 15.51/10.74 (v127(constB145, bitIndex0) <=> v130(constB145, bitIndex0)),
% 15.51/10.74 inference(unit_resolution,[status(thm)],[20420, 5004, 20311])).
% 15.51/10.74 tff(20422,plain,
% 15.51/10.74 (((~![B: $i] : ((~less_3(B)) | (v130(constB145, B) <=> b001(B)))) | ((~less_3(bitIndex0)) | (v130(constB145, bitIndex0) <=> b001(bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v130(constB145, B) <=> b001(B)))) | (~less_3(bitIndex0)) | (v130(constB145, bitIndex0) <=> b001(bitIndex0)))),
% 15.51/10.74 inference(rewrite,[status(thm)],[])).
% 15.51/10.74 tff(20423,plain,
% 15.51/10.74 ((~![B: $i] : ((~less_3(B)) | (v130(constB145, B) <=> b001(B)))) | ((~less_3(bitIndex0)) | (v130(constB145, bitIndex0) <=> b001(bitIndex0)))),
% 15.51/10.74 inference(quant_inst,[status(thm)],[])).
% 15.51/10.74 tff(20424,plain,
% 15.51/10.74 ((~![B: $i] : ((~less_3(B)) | (v130(constB145, B) <=> b001(B)))) | (~less_3(bitIndex0)) | (v130(constB145, bitIndex0) <=> b001(bitIndex0))),
% 15.51/10.74 inference(modus_ponens,[status(thm)],[20423, 20422])).
% 15.51/10.74 tff(20425,plain,
% 15.51/10.74 (v130(constB145, bitIndex0) <=> b001(bitIndex0)),
% 15.51/10.74 inference(unit_resolution,[status(thm)],[20424, 5004, 20384])).
% 15.51/10.74 tff(20426,plain,
% 15.51/10.74 ((~(v130(constB145, bitIndex0) <=> b001(bitIndex0))) | v130(constB145, bitIndex0) | (~b001(bitIndex0))),
% 15.51/10.74 inference(tautology,[status(thm)],[])).
% 15.51/10.74 tff(20427,plain,
% 15.51/10.74 ((~(v130(constB145, bitIndex0) <=> b001(bitIndex0))) | v130(constB145, bitIndex0)),
% 15.51/10.74 inference(unit_resolution,[status(thm)],[20426, 5659])).
% 15.51/10.74 tff(20428,plain,
% 15.51/10.74 (v130(constB145, bitIndex0)),
% 15.51/10.74 inference(unit_resolution,[status(thm)],[20427, 20425])).
% 15.51/10.74 tff(20429,plain,
% 15.51/10.74 ((~(v127(constB145, bitIndex0) <=> v130(constB145, bitIndex0))) | v127(constB145, bitIndex0) | (~v130(constB145, bitIndex0))),
% 15.51/10.74 inference(tautology,[status(thm)],[])).
% 15.51/10.74 tff(20430,plain,
% 15.51/10.74 (v127(constB145, bitIndex0)),
% 15.51/10.74 inference(unit_resolution,[status(thm)],[20429, 20428, 20421])).
% 15.51/10.74 tff(20431,plain,
% 15.51/10.74 ((~(v129(constB146, bitIndex0) <=> v127(constB145, bitIndex0))) | v129(constB146, bitIndex0) | (~v127(constB145, bitIndex0))),
% 15.51/10.74 inference(tautology,[status(thm)],[])).
% 15.51/10.74 tff(20432,plain,
% 15.51/10.74 (v129(constB146, bitIndex0)),
% 15.51/10.74 inference(unit_resolution,[status(thm)],[20431, 20430, 20417])).
% 15.51/10.74 tff(20433,plain,
% 15.51/10.74 ((~(v90(constB146, bitIndex0) <=> v129(constB146, bitIndex0))) | v90(constB146, bitIndex0) | (~v129(constB146, bitIndex0))),
% 15.51/10.74 inference(tautology,[status(thm)],[])).
% 15.51/10.74 tff(20434,plain,
% 15.51/10.74 (v90(constB146, bitIndex0)),
% 15.51/10.74 inference(unit_resolution,[status(thm)],[20433, 20432, 20413])).
% 15.51/10.74 tff(20435,plain,
% 15.51/10.74 ((~(v90(constB147, bitIndex0) <=> v90(constB146, bitIndex0))) | v90(constB147, bitIndex0) | (~v90(constB146, bitIndex0))),
% 15.51/10.74 inference(tautology,[status(thm)],[])).
% 15.51/10.74 tff(20436,plain,
% 15.51/10.74 (v90(constB147, bitIndex0)),
% 15.51/10.74 inference(unit_resolution,[status(thm)],[20435, 20434, 20409])).
% 15.51/10.74 tff(20437,plain,
% 15.51/10.74 ((~(v88(constB147, bitIndex0) <=> v90(constB147, bitIndex0))) | v88(constB147, bitIndex0) | (~v90(constB147, bitIndex0))),
% 15.51/10.74 inference(tautology,[status(thm)],[])).
% 15.51/10.74 tff(20438,plain,
% 15.51/10.74 (v88(constB147, bitIndex0)),
% 15.51/10.74 inference(unit_resolution,[status(thm)],[20437, 20436, 20405])).
% 15.51/10.74 tff(20439,plain,
% 15.51/10.74 (((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | ((~less_3(bitIndex1)) | (v88(constB147, bitIndex1) <=> v90(constB147, bitIndex1)))) <=> ((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | (~less_3(bitIndex1)) | (v88(constB147, bitIndex1) <=> v90(constB147, bitIndex1)))),
% 15.51/10.74 inference(rewrite,[status(thm)],[])).
% 15.51/10.74 tff(20440,plain,
% 15.51/10.74 ((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | ((~less_3(bitIndex1)) | (v88(constB147, bitIndex1) <=> v90(constB147, bitIndex1)))),
% 15.51/10.74 inference(quant_inst,[status(thm)],[])).
% 15.51/10.74 tff(20441,plain,
% 15.51/10.74 ((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | (~less_3(bitIndex1)) | (v88(constB147, bitIndex1) <=> v90(constB147, bitIndex1))),
% 15.51/10.74 inference(modus_ponens,[status(thm)],[20440, 20439])).
% 15.51/10.74 tff(20442,plain,
% 15.51/10.74 (v88(constB147, bitIndex1) <=> v90(constB147, bitIndex1)),
% 15.51/10.74 inference(unit_resolution,[status(thm)],[20441, 5017, 410])).
% 15.51/10.74 tff(20443,plain,
% 15.51/10.74 (((~![B: $i] : ((~less_3(B)) | (v90(constB147, B) <=> v90(constB146, B)))) | ((~less_3(bitIndex1)) | (v90(constB147, bitIndex1) <=> v90(constB146, bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v90(constB147, B) <=> v90(constB146, B)))) | (~less_3(bitIndex1)) | (v90(constB147, bitIndex1) <=> v90(constB146, bitIndex1)))),
% 15.51/10.74 inference(rewrite,[status(thm)],[])).
% 15.51/10.74 tff(20444,plain,
% 15.51/10.74 ((~![B: $i] : ((~less_3(B)) | (v90(constB147, B) <=> v90(constB146, B)))) | ((~less_3(bitIndex1)) | (v90(constB147, bitIndex1) <=> v90(constB146, bitIndex1)))),
% 15.51/10.74 inference(quant_inst,[status(thm)],[])).
% 15.51/10.74 tff(20445,plain,
% 15.51/10.74 ((~![B: $i] : ((~less_3(B)) | (v90(constB147, B) <=> v90(constB146, B)))) | (~less_3(bitIndex1)) | (v90(constB147, bitIndex1) <=> v90(constB146, bitIndex1))),
% 15.51/10.74 inference(modus_ponens,[status(thm)],[20444, 20443])).
% 15.51/10.74 tff(20446,plain,
% 15.51/10.74 (v90(constB147, bitIndex1) <=> v90(constB146, bitIndex1)),
% 15.51/10.74 inference(unit_resolution,[status(thm)],[20445, 5017, 13743])).
% 15.51/10.74 tff(20447,plain,
% 15.51/10.74 (((~![B: $i] : ((~less_3(B)) | (v90(constB146, B) <=> v129(constB146, B)))) | ((~less_3(bitIndex1)) | (v90(constB146, bitIndex1) <=> v129(constB146, bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v90(constB146, B) <=> v129(constB146, B)))) | (~less_3(bitIndex1)) | (v90(constB146, bitIndex1) <=> v129(constB146, bitIndex1)))),
% 15.51/10.74 inference(rewrite,[status(thm)],[])).
% 15.51/10.74 tff(20448,plain,
% 15.51/10.74 ((~![B: $i] : ((~less_3(B)) | (v90(constB146, B) <=> v129(constB146, B)))) | ((~less_3(bitIndex1)) | (v90(constB146, bitIndex1) <=> v129(constB146, bitIndex1)))),
% 15.51/10.74 inference(quant_inst,[status(thm)],[])).
% 15.51/10.74 tff(20449,plain,
% 15.51/10.74 ((~![B: $i] : ((~less_3(B)) | (v90(constB146, B) <=> v129(constB146, B)))) | (~less_3(bitIndex1)) | (v90(constB146, bitIndex1) <=> v129(constB146, bitIndex1))),
% 15.51/10.74 inference(modus_ponens,[status(thm)],[20448, 20447])).
% 15.51/10.74 tff(20450,plain,
% 15.51/10.74 (v90(constB146, bitIndex1) <=> v129(constB146, bitIndex1)),
% 15.51/10.74 inference(unit_resolution,[status(thm)],[20449, 5017, 20295])).
% 15.51/10.74 tff(20451,plain,
% 15.51/10.74 (((~![B: $i] : ((~less_3(B)) | (v129(constB146, B) <=> v127(constB145, B)))) | ((~less_3(bitIndex1)) | (v129(constB146, bitIndex1) <=> v127(constB145, bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v129(constB146, B) <=> v127(constB145, B)))) | (~less_3(bitIndex1)) | (v129(constB146, bitIndex1) <=> v127(constB145, bitIndex1)))),
% 15.51/10.74 inference(rewrite,[status(thm)],[])).
% 15.51/10.74 tff(20452,plain,
% 15.51/10.74 ((~![B: $i] : ((~less_3(B)) | (v129(constB146, B) <=> v127(constB145, B)))) | ((~less_3(bitIndex1)) | (v129(constB146, bitIndex1) <=> v127(constB145, bitIndex1)))),
% 15.51/10.74 inference(quant_inst,[status(thm)],[])).
% 15.51/10.74 tff(20453,plain,
% 15.51/10.74 ((~![B: $i] : ((~less_3(B)) | (v129(constB146, B) <=> v127(constB145, B)))) | (~less_3(bitIndex1)) | (v129(constB146, bitIndex1) <=> v127(constB145, bitIndex1))),
% 15.51/10.74 inference(modus_ponens,[status(thm)],[20452, 20451])).
% 15.51/10.74 tff(20454,plain,
% 15.51/10.74 (v129(constB146, bitIndex1) <=> v127(constB145, bitIndex1)),
% 15.51/10.74 inference(unit_resolution,[status(thm)],[20453, 5017, 20303])).
% 15.51/10.74 tff(20455,plain,
% 15.51/10.74 (((~![B: $i] : ((~less_3(B)) | (v127(constB145, B) <=> v130(constB145, B)))) | ((~less_3(bitIndex1)) | (v127(constB145, bitIndex1) <=> v130(constB145, bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v127(constB145, B) <=> v130(constB145, B)))) | (~less_3(bitIndex1)) | (v127(constB145, bitIndex1) <=> v130(constB145, bitIndex1)))),
% 15.51/10.74 inference(rewrite,[status(thm)],[])).
% 15.51/10.74 tff(20456,plain,
% 15.51/10.74 ((~![B: $i] : ((~less_3(B)) | (v127(constB145, B) <=> v130(constB145, B)))) | ((~less_3(bitIndex1)) | (v127(constB145, bitIndex1) <=> v130(constB145, bitIndex1)))),
% 15.51/10.74 inference(quant_inst,[status(thm)],[])).
% 15.51/10.74 tff(20457,plain,
% 15.51/10.74 ((~![B: $i] : ((~less_3(B)) | (v127(constB145, B) <=> v130(constB145, B)))) | (~less_3(bitIndex1)) | (v127(constB145, bitIndex1) <=> v130(constB145, bitIndex1))),
% 15.51/10.74 inference(modus_ponens,[status(thm)],[20456, 20455])).
% 15.51/10.74 tff(20458,plain,
% 15.51/10.74 (v127(constB145, bitIndex1) <=> v130(constB145, bitIndex1)),
% 15.51/10.74 inference(unit_resolution,[status(thm)],[20457, 5017, 20311])).
% 15.51/10.74 tff(20459,plain,
% 15.51/10.74 (((~![B: $i] : ((~less_3(B)) | (v130(constB145, B) <=> b001(B)))) | ((~less_3(bitIndex1)) | (v130(constB145, bitIndex1) <=> b001(bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v130(constB145, B) <=> b001(B)))) | (~less_3(bitIndex1)) | (v130(constB145, bitIndex1) <=> b001(bitIndex1)))),
% 15.51/10.74 inference(rewrite,[status(thm)],[])).
% 15.51/10.74 tff(20460,plain,
% 15.51/10.74 ((~![B: $i] : ((~less_3(B)) | (v130(constB145, B) <=> b001(B)))) | ((~less_3(bitIndex1)) | (v130(constB145, bitIndex1) <=> b001(bitIndex1)))),
% 15.51/10.74 inference(quant_inst,[status(thm)],[])).
% 15.51/10.74 tff(20461,plain,
% 15.51/10.74 ((~![B: $i] : ((~less_3(B)) | (v130(constB145, B) <=> b001(B)))) | (~less_3(bitIndex1)) | (v130(constB145, bitIndex1) <=> b001(bitIndex1))),
% 15.51/10.75 inference(modus_ponens,[status(thm)],[20460, 20459])).
% 15.51/10.75 tff(20462,plain,
% 15.51/10.75 (v130(constB145, bitIndex1) <=> b001(bitIndex1)),
% 15.51/10.75 inference(unit_resolution,[status(thm)],[20461, 5017, 20384])).
% 15.51/10.75 tff(20463,plain,
% 15.51/10.75 ((~(v130(constB145, bitIndex1) <=> b001(bitIndex1))) | (~v130(constB145, bitIndex1)) | b001(bitIndex1)),
% 15.51/10.75 inference(tautology,[status(thm)],[])).
% 15.51/10.75 tff(20464,plain,
% 15.51/10.75 ((~(v130(constB145, bitIndex1) <=> b001(bitIndex1))) | (~v130(constB145, bitIndex1))),
% 15.51/10.75 inference(unit_resolution,[status(thm)],[20463, 5693])).
% 15.51/10.75 tff(20465,plain,
% 15.51/10.75 (~v130(constB145, bitIndex1)),
% 15.51/10.75 inference(unit_resolution,[status(thm)],[20464, 20462])).
% 15.51/10.75 tff(20466,plain,
% 15.51/10.75 ((~(v127(constB145, bitIndex1) <=> v130(constB145, bitIndex1))) | (~v127(constB145, bitIndex1)) | v130(constB145, bitIndex1)),
% 15.51/10.75 inference(tautology,[status(thm)],[])).
% 15.51/10.75 tff(20467,plain,
% 15.51/10.75 (~v127(constB145, bitIndex1)),
% 15.51/10.75 inference(unit_resolution,[status(thm)],[20466, 20465, 20458])).
% 15.51/10.75 tff(20468,plain,
% 15.51/10.75 ((~(v129(constB146, bitIndex1) <=> v127(constB145, bitIndex1))) | (~v129(constB146, bitIndex1)) | v127(constB145, bitIndex1)),
% 15.51/10.75 inference(tautology,[status(thm)],[])).
% 15.51/10.75 tff(20469,plain,
% 15.51/10.75 (~v129(constB146, bitIndex1)),
% 15.51/10.75 inference(unit_resolution,[status(thm)],[20468, 20467, 20454])).
% 15.51/10.75 tff(20470,plain,
% 15.51/10.75 ((~(v90(constB146, bitIndex1) <=> v129(constB146, bitIndex1))) | (~v90(constB146, bitIndex1)) | v129(constB146, bitIndex1)),
% 15.51/10.75 inference(tautology,[status(thm)],[])).
% 15.51/10.75 tff(20471,plain,
% 15.51/10.75 (~v90(constB146, bitIndex1)),
% 15.51/10.75 inference(unit_resolution,[status(thm)],[20470, 20469, 20450])).
% 15.51/10.75 tff(20472,plain,
% 15.51/10.75 ((~(v90(constB147, bitIndex1) <=> v90(constB146, bitIndex1))) | (~v90(constB147, bitIndex1)) | v90(constB146, bitIndex1)),
% 15.51/10.75 inference(tautology,[status(thm)],[])).
% 15.51/10.75 tff(20473,plain,
% 15.51/10.75 (~v90(constB147, bitIndex1)),
% 15.51/10.75 inference(unit_resolution,[status(thm)],[20472, 20471, 20446])).
% 15.51/10.75 tff(20474,plain,
% 15.51/10.75 ((~(v88(constB147, bitIndex1) <=> v90(constB147, bitIndex1))) | (~v88(constB147, bitIndex1)) | v90(constB147, bitIndex1)),
% 15.51/10.75 inference(tautology,[status(thm)],[])).
% 15.51/10.75 tff(20475,plain,
% 15.51/10.75 (~v88(constB147, bitIndex1)),
% 15.51/10.75 inference(unit_resolution,[status(thm)],[20474, 20473, 20442])).
% 15.51/10.75 tff(20476,plain,
% 15.51/10.75 ((~(v88(constB147, bitIndex2) | v88(constB147, bitIndex1) | (~v88(constB147, bitIndex0)))) | v88(constB147, bitIndex2) | v88(constB147, bitIndex1) | (~v88(constB147, bitIndex0))),
% 15.51/10.75 inference(tautology,[status(thm)],[])).
% 15.51/10.75 tff(20477,plain,
% 15.51/10.75 (~(v88(constB147, bitIndex2) | v88(constB147, bitIndex1) | (~v88(constB147, bitIndex0)))),
% 15.51/10.75 inference(unit_resolution,[status(thm)],[20476, 20475, 20438, 20401])).
% 15.51/10.75 tff(20478,plain,
% 15.51/10.75 ((~(v140(constB147) <=> (~(v88(constB147, bitIndex2) | v88(constB147, bitIndex1) | (~v88(constB147, bitIndex0)))))) | v140(constB147) | (v88(constB147, bitIndex2) | v88(constB147, bitIndex1) | (~v88(constB147, bitIndex0)))),
% 15.51/10.75 inference(tautology,[status(thm)],[])).
% 15.51/10.75 tff(20479,plain,
% 15.51/10.75 (v140(constB147)),
% 15.51/10.75 inference(unit_resolution,[status(thm)],[20478, 20477, 13711])).
% 15.51/10.75 tff(20480,plain,
% 15.51/10.75 ((v139(constB147) | v140(constB147)) | (~v140(constB147))),
% 15.51/10.75 inference(tautology,[status(thm)],[])).
% 15.51/10.75 tff(20481,plain,
% 15.51/10.75 (v139(constB147) | v140(constB147)),
% 15.51/10.75 inference(unit_resolution,[status(thm)],[20480, 20479])).
% 15.51/10.75 tff(20482,plain,
% 15.51/10.75 ((~(v151(constB147) <=> (v139(constB147) | v140(constB147)))) | v151(constB147) | (~(v139(constB147) | v140(constB147)))),
% 15.51/10.75 inference(tautology,[status(thm)],[])).
% 15.51/10.75 tff(20483,plain,
% 15.51/10.75 (v151(constB147)),
% 15.51/10.75 inference(unit_resolution,[status(thm)],[20482, 20481, 13691])).
% 15.51/10.75 tff(20484,plain,
% 15.51/10.75 ((v141(constB147) | v151(constB147)) | (~v151(constB147))),
% 15.51/10.75 inference(tautology,[status(thm)],[])).
% 15.51/10.75 tff(20485,plain,
% 15.51/10.75 (v141(constB147) | v151(constB147)),
% 15.51/10.75 inference(unit_resolution,[status(thm)],[20484, 20483])).
% 15.51/10.75 tff(20486,plain,
% 15.51/10.75 ((~(v150(constB147) <=> (v141(constB147) | v151(constB147)))) | v150(constB147) | (~(v141(constB147) | v151(constB147)))),
% 15.51/10.75 inference(tautology,[status(thm)],[])).
% 15.51/10.75 tff(20487,plain,
% 15.51/10.75 (v150(constB147)),
% 15.51/10.75 inference(unit_resolution,[status(thm)],[20486, 20485, 13682])).
% 15.51/10.75 tff(20488,plain,
% 15.51/10.75 ((v142(constB147) | v150(constB147)) | (~v150(constB147))),
% 15.51/10.75 inference(tautology,[status(thm)],[])).
% 15.51/10.75 tff(20489,plain,
% 15.51/10.75 (v142(constB147) | v150(constB147)),
% 15.51/10.75 inference(unit_resolution,[status(thm)],[20488, 20487])).
% 15.51/10.75 tff(20490,plain,
% 15.51/10.75 ((~(v171(constB147) <=> (v142(constB147) | v150(constB147)))) | v171(constB147) | (~(v142(constB147) | v150(constB147)))),
% 15.51/10.75 inference(tautology,[status(thm)],[])).
% 15.51/10.75 tff(20491,plain,
% 15.51/10.75 (v171(constB147)),
% 15.51/10.75 inference(unit_resolution,[status(thm)],[20490, 20489, 13670])).
% 15.51/10.75 tff(20492,plain,
% 15.51/10.75 (((~![VarCurr: $i] : ((~v171(VarCurr)) | (~v170(VarCurr)))) | ((~v170(constB147)) | (~v171(constB147)))) <=> ((~![VarCurr: $i] : ((~v171(VarCurr)) | (~v170(VarCurr)))) | (~v170(constB147)) | (~v171(constB147)))),
% 15.51/10.75 inference(rewrite,[status(thm)],[])).
% 15.51/10.75 tff(20493,plain,
% 15.51/10.75 (((~v171(constB147)) | (~v170(constB147))) <=> ((~v170(constB147)) | (~v171(constB147)))),
% 15.51/10.75 inference(rewrite,[status(thm)],[])).
% 15.51/10.75 tff(20494,plain,
% 15.51/10.75 (((~![VarCurr: $i] : ((~v171(VarCurr)) | (~v170(VarCurr)))) | ((~v171(constB147)) | (~v170(constB147)))) <=> ((~![VarCurr: $i] : ((~v171(VarCurr)) | (~v170(VarCurr)))) | ((~v170(constB147)) | (~v171(constB147))))),
% 15.51/10.75 inference(monotonicity,[status(thm)],[20493])).
% 15.51/10.75 tff(20495,plain,
% 15.51/10.75 (((~![VarCurr: $i] : ((~v171(VarCurr)) | (~v170(VarCurr)))) | ((~v171(constB147)) | (~v170(constB147)))) <=> ((~![VarCurr: $i] : ((~v171(VarCurr)) | (~v170(VarCurr)))) | (~v170(constB147)) | (~v171(constB147)))),
% 15.51/10.75 inference(transitivity,[status(thm)],[20494, 20492])).
% 15.51/10.75 tff(20496,plain,
% 15.51/10.75 ((~![VarCurr: $i] : ((~v171(VarCurr)) | (~v170(VarCurr)))) | ((~v171(constB147)) | (~v170(constB147)))),
% 15.51/10.75 inference(quant_inst,[status(thm)],[])).
% 15.51/10.75 tff(20497,plain,
% 15.51/10.75 ((~![VarCurr: $i] : ((~v171(VarCurr)) | (~v170(VarCurr)))) | (~v170(constB147)) | (~v171(constB147))),
% 15.51/10.75 inference(modus_ponens,[status(thm)],[20496, 20495])).
% 15.51/10.75 tff(20498,plain,
% 15.51/10.75 ((~v170(constB147)) | (~v171(constB147))),
% 15.51/10.75 inference(unit_resolution,[status(thm)],[20497, 13061])).
% 15.51/10.75 tff(20499,plain,
% 15.51/10.75 (~v170(constB147)),
% 15.51/10.75 inference(unit_resolution,[status(thm)],[20498, 20491])).
% 15.51/10.75 tff(20500,plain,
% 15.51/10.75 ((~![VarCurr: $i] : (v166(VarCurr) <=> (v145(VarCurr) | v167(VarCurr)))) | (v166(constB147) <=> (v145(constB147) | v167(constB147)))),
% 15.51/10.75 inference(quant_inst,[status(thm)],[])).
% 15.51/10.75 tff(20501,plain,
% 15.51/10.75 (v166(constB147) <=> (v145(constB147) | v167(constB147))),
% 15.51/10.75 inference(unit_resolution,[status(thm)],[20500, 13079])).
% 15.51/10.75 tff(20502,plain,
% 15.51/10.75 ((~![VarCurr: $i] : (v167(VarCurr) <=> (v142(VarCurr) | v168(VarCurr)))) | (v167(constB147) <=> (v142(constB147) | v168(constB147)))),
% 15.51/10.75 inference(quant_inst,[status(thm)],[])).
% 15.51/10.75 tff(20503,plain,
% 15.51/10.75 (v167(constB147) <=> (v142(constB147) | v168(constB147))),
% 15.51/10.75 inference(unit_resolution,[status(thm)],[20502, 13091])).
% 15.51/10.75 tff(20504,plain,
% 15.51/10.75 (^[VarCurr: $i] : refl((v168(VarCurr) <=> (v141(VarCurr) | v169(VarCurr))) <=> (v168(VarCurr) <=> (v141(VarCurr) | v169(VarCurr))))),
% 15.51/10.75 inference(bind,[status(th)],[])).
% 15.51/10.75 tff(20505,plain,
% 15.51/10.75 (![VarCurr: $i] : (v168(VarCurr) <=> (v141(VarCurr) | v169(VarCurr))) <=> ![VarCurr: $i] : (v168(VarCurr) <=> (v141(VarCurr) | v169(VarCurr)))),
% 15.51/10.75 inference(quant_intro,[status(thm)],[20504])).
% 15.51/10.75 tff(20506,plain,
% 15.51/10.75 (![VarCurr: $i] : (v168(VarCurr) <=> (v141(VarCurr) | v169(VarCurr))) <=> ![VarCurr: $i] : (v168(VarCurr) <=> (v141(VarCurr) | v169(VarCurr)))),
% 15.51/10.75 inference(rewrite,[status(thm)],[])).
% 15.51/10.75 tff(20507,plain,
% 15.51/10.75 (^[VarCurr: $i] : rewrite((v168(VarCurr) <=> (v169(VarCurr) | v141(VarCurr))) <=> (v168(VarCurr) <=> (v141(VarCurr) | v169(VarCurr))))),
% 15.51/10.75 inference(bind,[status(th)],[])).
% 15.51/10.75 tff(20508,plain,
% 15.51/10.75 (![VarCurr: $i] : (v168(VarCurr) <=> (v169(VarCurr) | v141(VarCurr))) <=> ![VarCurr: $i] : (v168(VarCurr) <=> (v141(VarCurr) | v169(VarCurr)))),
% 15.51/10.75 inference(quant_intro,[status(thm)],[20507])).
% 15.51/10.75 tff(20509,axiom,(![VarCurr: $i] : (v168(VarCurr) <=> (v169(VarCurr) | v141(VarCurr)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','writeBinaryOperatorEqualRangesSingleBits_37')).
% 15.51/10.75 tff(20510,plain,
% 15.51/10.75 (![VarCurr: $i] : (v168(VarCurr) <=> (v141(VarCurr) | v169(VarCurr)))),
% 15.51/10.75 inference(modus_ponens,[status(thm)],[20509, 20508])).
% 15.51/10.75 tff(20511,plain,
% 15.51/10.75 (![VarCurr: $i] : (v168(VarCurr) <=> (v141(VarCurr) | v169(VarCurr)))),
% 15.51/10.75 inference(modus_ponens,[status(thm)],[20510, 20506])).
% 15.51/10.75 tff(20512,plain,(
% 15.51/10.75 ![VarCurr: $i] : (v168(VarCurr) <=> (v141(VarCurr) | v169(VarCurr)))),
% 15.51/10.75 inference(skolemize,[status(sab)],[20511])).
% 15.51/10.75 tff(20513,plain,
% 15.51/10.75 (![VarCurr: $i] : (v168(VarCurr) <=> (v141(VarCurr) | v169(VarCurr)))),
% 15.51/10.75 inference(modus_ponens,[status(thm)],[20512, 20505])).
% 15.51/10.75 tff(20514,plain,
% 15.51/10.75 ((~![VarCurr: $i] : (v168(VarCurr) <=> (v141(VarCurr) | v169(VarCurr)))) | (v168(constB147) <=> (v141(constB147) | v169(constB147)))),
% 15.51/10.75 inference(quant_inst,[status(thm)],[])).
% 15.51/10.75 tff(20515,plain,
% 15.51/10.75 (v168(constB147) <=> (v141(constB147) | v169(constB147))),
% 15.51/10.75 inference(unit_resolution,[status(thm)],[20514, 20513])).
% 15.51/10.75 tff(20516,plain,
% 15.51/10.75 (^[VarCurr: $i] : refl((v169(VarCurr) <=> (v139(VarCurr) | v140(VarCurr))) <=> (v169(VarCurr) <=> (v139(VarCurr) | v140(VarCurr))))),
% 15.51/10.75 inference(bind,[status(th)],[])).
% 15.51/10.75 tff(20517,plain,
% 15.51/10.75 (![VarCurr: $i] : (v169(VarCurr) <=> (v139(VarCurr) | v140(VarCurr))) <=> ![VarCurr: $i] : (v169(VarCurr) <=> (v139(VarCurr) | v140(VarCurr)))),
% 15.51/10.75 inference(quant_intro,[status(thm)],[20516])).
% 15.51/10.75 tff(20518,plain,
% 15.51/10.75 (![VarCurr: $i] : (v169(VarCurr) <=> (v139(VarCurr) | v140(VarCurr))) <=> ![VarCurr: $i] : (v169(VarCurr) <=> (v139(VarCurr) | v140(VarCurr)))),
% 15.51/10.75 inference(rewrite,[status(thm)],[])).
% 15.51/10.75 tff(20519,axiom,(![VarCurr: $i] : (v169(VarCurr) <=> (v139(VarCurr) | v140(VarCurr)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','writeBinaryOperatorEqualRangesSingleBits_36')).
% 15.51/10.75 tff(20520,plain,
% 15.51/10.75 (![VarCurr: $i] : (v169(VarCurr) <=> (v139(VarCurr) | v140(VarCurr)))),
% 15.51/10.75 inference(modus_ponens,[status(thm)],[20519, 20518])).
% 15.51/10.75 tff(20521,plain,(
% 15.51/10.75 ![VarCurr: $i] : (v169(VarCurr) <=> (v139(VarCurr) | v140(VarCurr)))),
% 15.51/10.75 inference(skolemize,[status(sab)],[20520])).
% 15.51/10.75 tff(20522,plain,
% 15.51/10.75 (![VarCurr: $i] : (v169(VarCurr) <=> (v139(VarCurr) | v140(VarCurr)))),
% 15.51/10.75 inference(modus_ponens,[status(thm)],[20521, 20517])).
% 15.51/10.75 tff(20523,plain,
% 15.51/10.75 ((~![VarCurr: $i] : (v169(VarCurr) <=> (v139(VarCurr) | v140(VarCurr)))) | (v169(constB147) <=> (v139(constB147) | v140(constB147)))),
% 15.51/10.75 inference(quant_inst,[status(thm)],[])).
% 15.51/10.75 tff(20524,plain,
% 15.51/10.75 (v169(constB147) <=> (v139(constB147) | v140(constB147))),
% 15.51/10.75 inference(unit_resolution,[status(thm)],[20523, 20522])).
% 15.51/10.75 tff(20525,plain,
% 15.51/10.75 ((~(v169(constB147) <=> (v139(constB147) | v140(constB147)))) | v169(constB147) | (~(v139(constB147) | v140(constB147)))),
% 15.51/10.75 inference(tautology,[status(thm)],[])).
% 15.51/10.75 tff(20526,plain,
% 15.51/10.75 (v169(constB147)),
% 15.51/10.75 inference(unit_resolution,[status(thm)],[20525, 20481, 20524])).
% 15.51/10.75 tff(20527,plain,
% 15.51/10.75 ((v141(constB147) | v169(constB147)) | (~v169(constB147))),
% 15.51/10.75 inference(tautology,[status(thm)],[])).
% 15.51/10.75 tff(20528,plain,
% 15.51/10.75 (v141(constB147) | v169(constB147)),
% 15.51/10.75 inference(unit_resolution,[status(thm)],[20527, 20526])).
% 15.51/10.75 tff(20529,plain,
% 15.51/10.75 ((~(v168(constB147) <=> (v141(constB147) | v169(constB147)))) | v168(constB147) | (~(v141(constB147) | v169(constB147)))),
% 15.51/10.75 inference(tautology,[status(thm)],[])).
% 15.51/10.75 tff(20530,plain,
% 15.51/10.75 (v168(constB147)),
% 15.51/10.75 inference(unit_resolution,[status(thm)],[20529, 20528, 20515])).
% 15.51/10.75 tff(20531,plain,
% 15.51/10.75 ((v142(constB147) | v168(constB147)) | (~v168(constB147))),
% 15.51/10.75 inference(tautology,[status(thm)],[])).
% 15.51/10.75 tff(20532,plain,
% 15.51/10.75 (v142(constB147) | v168(constB147)),
% 15.51/10.75 inference(unit_resolution,[status(thm)],[20531, 20530])).
% 15.51/10.75 tff(20533,plain,
% 15.51/10.75 ((~(v167(constB147) <=> (v142(constB147) | v168(constB147)))) | v167(constB147) | (~(v142(constB147) | v168(constB147)))),
% 15.51/10.75 inference(tautology,[status(thm)],[])).
% 15.51/10.75 tff(20534,plain,
% 15.51/10.75 (v167(constB147)),
% 15.51/10.75 inference(unit_resolution,[status(thm)],[20533, 20532, 20503])).
% 15.51/10.75 tff(20535,plain,
% 15.51/10.75 ((v145(constB147) | v167(constB147)) | (~v167(constB147))),
% 15.51/10.75 inference(tautology,[status(thm)],[])).
% 15.51/10.75 tff(20536,plain,
% 15.51/10.75 (v145(constB147) | v167(constB147)),
% 15.51/10.75 inference(unit_resolution,[status(thm)],[20535, 20534])).
% 15.51/10.75 tff(20537,plain,
% 15.51/10.75 ((~(v166(constB147) <=> (v145(constB147) | v167(constB147)))) | v166(constB147) | (~(v145(constB147) | v167(constB147)))),
% 15.51/10.75 inference(tautology,[status(thm)],[])).
% 15.51/10.75 tff(20538,plain,
% 15.51/10.75 (v166(constB147)),
% 15.51/10.75 inference(unit_resolution,[status(thm)],[20537, 20536, 20501])).
% 15.51/10.75 tff(20539,plain,
% 15.51/10.75 (((~![VarNext: $i] : ((~v166(VarNext)) | (v163(VarNext) <=> v170(VarNext)))) | ((~v166(constB147)) | (v163(constB147) <=> v170(constB147)))) <=> ((~![VarNext: $i] : ((~v166(VarNext)) | (v163(VarNext) <=> v170(VarNext)))) | (~v166(constB147)) | (v163(constB147) <=> v170(constB147)))),
% 15.51/10.75 inference(rewrite,[status(thm)],[])).
% 15.51/10.75 tff(20540,plain,
% 15.51/10.75 ((~![VarNext: $i] : ((~v166(VarNext)) | (v163(VarNext) <=> v170(VarNext)))) | ((~v166(constB147)) | (v163(constB147) <=> v170(constB147)))),
% 15.51/10.75 inference(quant_inst,[status(thm)],[])).
% 15.51/10.75 tff(20541,plain,
% 15.51/10.75 ((~![VarNext: $i] : ((~v166(VarNext)) | (v163(VarNext) <=> v170(VarNext)))) | (~v166(constB147)) | (v163(constB147) <=> v170(constB147))),
% 15.51/10.75 inference(modus_ponens,[status(thm)],[20540, 20539])).
% 15.51/10.75 tff(20542,plain,
% 15.51/10.75 ((~v166(constB147)) | (v163(constB147) <=> v170(constB147))),
% 15.51/10.75 inference(unit_resolution,[status(thm)],[20541, 13111])).
% 15.51/10.75 tff(20543,plain,
% 15.51/10.75 (v163(constB147) <=> v170(constB147)),
% 15.51/10.75 inference(unit_resolution,[status(thm)],[20542, 20538])).
% 15.51/10.75 tff(20544,plain,
% 15.51/10.75 ((~(v163(constB147) <=> v170(constB147))) | (~v163(constB147)) | v170(constB147)),
% 15.51/10.75 inference(tautology,[status(thm)],[])).
% 15.51/10.75 tff(20545,plain,
% 15.51/10.75 (~v163(constB147)),
% 15.51/10.75 inference(unit_resolution,[status(thm)],[20544, 20543, 20499])).
% 15.51/10.75 tff(20546,plain,
% 15.51/10.75 ((~(v161(constB147) <=> v163(constB147))) | (~v161(constB147)) | v163(constB147)),
% 15.51/10.75 inference(tautology,[status(thm)],[])).
% 15.51/10.75 tff(20547,plain,
% 15.51/10.75 (~v161(constB147)),
% 15.51/10.75 inference(unit_resolution,[status(thm)],[20546, 20545, 13668])).
% 15.51/10.75 tff(20548,plain,
% 15.51/10.75 ((~(v186(constB148) <=> v161(constB147))) | (~v186(constB148)) | v161(constB147)),
% 15.51/10.75 inference(tautology,[status(thm)],[])).
% 15.51/10.75 tff(20549,plain,
% 15.51/10.75 (~v186(constB148)),
% 15.51/10.75 inference(unit_resolution,[status(thm)],[20548, 20547, 13666])).
% 15.51/10.75 tff(20550,plain,
% 15.51/10.75 ((~(v159(constB148) <=> v186(constB148))) | (~v159(constB148)) | v186(constB148)),
% 15.51/10.75 inference(tautology,[status(thm)],[])).
% 15.51/10.75 tff(20551,plain,
% 15.51/10.75 (~v159(constB148)),
% 15.51/10.75 inference(unit_resolution,[status(thm)],[20550, 20549, 13652])).
% 15.51/10.75 tff(20552,plain,
% 15.51/10.75 ((~(v159(constB149) <=> v159(constB148))) | (~v159(constB149)) | v159(constB148)),
% 15.51/10.75 inference(tautology,[status(thm)],[])).
% 15.51/10.75 tff(20553,plain,
% 15.51/10.75 (~v159(constB149)),
% 15.51/10.75 inference(unit_resolution,[status(thm)],[20552, 20551, 13588])).
% 15.51/10.75 tff(20554,plain,
% 15.51/10.75 (((~v159(constB149)) | (~v161(constB149))) | v159(constB149)),
% 15.51/10.75 inference(tautology,[status(thm)],[])).
% 15.51/10.75 tff(20555,plain,
% 15.51/10.75 ((~v159(constB149)) | (~v161(constB149))),
% 15.51/10.75 inference(unit_resolution,[status(thm)],[20554, 20553])).
% 15.51/10.75 tff(20556,plain,
% 15.51/10.75 ((~(v201(constB149) <=> (~((~v159(constB149)) | (~v161(constB149)))))) | (~v201(constB149)) | (~((~v159(constB149)) | (~v161(constB149))))),
% 15.51/10.75 inference(tautology,[status(thm)],[])).
% 15.51/10.75 tff(20557,plain,
% 15.51/10.75 (~v201(constB149)),
% 15.51/10.75 inference(unit_resolution,[status(thm)],[20556, 20555, 13526])).
% 15.51/10.75 tff(20558,plain,
% 15.51/10.75 (((~v197(constB149)) | (~v201(constB149))) | v201(constB149)),
% 15.51/10.75 inference(tautology,[status(thm)],[])).
% 15.51/10.75 tff(20559,plain,
% 15.51/10.75 ((~v197(constB149)) | (~v201(constB149))),
% 15.51/10.75 inference(unit_resolution,[status(thm)],[20558, 20557])).
% 15.51/10.75 tff(20560,plain,
% 15.51/10.75 ((~(v200(constB149) <=> (~((~v197(constB149)) | (~v201(constB149)))))) | (~v200(constB149)) | (~((~v197(constB149)) | (~v201(constB149))))),
% 15.51/10.75 inference(tautology,[status(thm)],[])).
% 15.51/10.75 tff(20561,plain,
% 15.51/10.75 (~v200(constB149)),
% 15.51/10.75 inference(unit_resolution,[status(thm)],[20560, 20559, 13524])).
% 15.51/10.75 tff(20562,plain,
% 15.51/10.75 (((~v199(constB149)) | (~v200(constB149))) | v200(constB149)),
% 15.51/10.75 inference(tautology,[status(thm)],[])).
% 15.51/10.75 tff(20563,plain,
% 15.51/10.75 ((~v199(constB149)) | (~v200(constB149))),
% 15.51/10.75 inference(unit_resolution,[status(thm)],[20562, 20561])).
% 15.51/10.75 tff(20564,plain,
% 15.51/10.75 ((~(v198(constB149) <=> (~((~v199(constB149)) | (~v200(constB149)))))) | (~v198(constB149)) | (~((~v199(constB149)) | (~v200(constB149))))),
% 15.51/10.75 inference(tautology,[status(thm)],[])).
% 15.51/10.75 tff(20565,plain,
% 15.51/10.75 (~v198(constB149)),
% 15.51/10.75 inference(unit_resolution,[status(thm)],[20564, 20563, 13522])).
% 15.51/10.75 tff(20566,plain,
% 15.51/10.75 ((~(v194(constB149) | v198(constB149))) | v194(constB149) | v198(constB149)),
% 15.51/10.75 inference(tautology,[status(thm)],[])).
% 15.51/10.75 tff(20567,plain,
% 15.51/10.75 (~(v194(constB149) | v198(constB149))),
% 15.51/10.75 inference(unit_resolution,[status(thm)],[20566, 20565, 13520])).
% 15.51/10.75 tff(20568,plain,
% 15.51/10.75 ((~(v191(constB149) <=> (v194(constB149) | v198(constB149)))) | (~v191(constB149)) | (v194(constB149) | v198(constB149))),
% 15.51/10.75 inference(tautology,[status(thm)],[])).
% 15.51/10.75 tff(20569,plain,
% 15.51/10.75 (~v191(constB149)),
% 15.51/10.75 inference(unit_resolution,[status(thm)],[20568, 20567, 13444])).
% 15.51/10.75 tff(20570,plain,
% 15.51/10.75 ((~(v193(constB150) <=> v191(constB149))) | (~v193(constB150)) | v191(constB149)),
% 15.51/10.75 inference(tautology,[status(thm)],[])).
% 15.51/10.75 tff(20571,plain,
% 15.51/10.75 (~v193(constB150)),
% 15.51/10.75 inference(unit_resolution,[status(thm)],[20570, 20569, 13442])).
% 15.51/10.75 tff(20572,plain,
% 15.51/10.75 ((~(v157(constB150) <=> v193(constB150))) | (~v157(constB150)) | v193(constB150)),
% 15.51/10.75 inference(tautology,[status(thm)],[])).
% 15.51/10.75 tff(20573,plain,
% 15.51/10.75 (~v157(constB150)),
% 15.51/10.75 inference(unit_resolution,[status(thm)],[20572, 20571, 13435])).
% 15.51/10.75 tff(20574,plain,
% 15.51/10.75 (((~v157(constB150)) | (~v195(constB150))) | v157(constB150)),
% 15.51/10.75 inference(tautology,[status(thm)],[])).
% 15.51/10.75 tff(20575,plain,
% 15.51/10.75 ((~v157(constB150)) | (~v195(constB150))),
% 15.51/10.75 inference(unit_resolution,[status(thm)],[20574, 20573])).
% 15.51/10.75 tff(20576,plain,
% 15.51/10.75 ((~(v194(constB150) <=> (~((~v157(constB150)) | (~v195(constB150)))))) | (~v194(constB150)) | (~((~v157(constB150)) | (~v195(constB150))))),
% 15.51/10.75 inference(tautology,[status(thm)],[])).
% 15.51/10.75 tff(20577,plain,
% 15.51/10.75 (~v194(constB150)),
% 15.51/10.75 inference(unit_resolution,[status(thm)],[20576, 20575, 13433])).
% 15.51/10.75 tff(20578,plain,
% 15.51/10.75 ((~(v194(constB150) | v198(constB150))) | v194(constB150) | v198(constB150)),
% 15.51/10.75 inference(tautology,[status(thm)],[])).
% 15.51/10.75 tff(20579,plain,
% 15.51/10.75 (~(v194(constB150) | v198(constB150))),
% 15.51/10.75 inference(unit_resolution,[status(thm)],[20578, 20577, 13426])).
% 15.51/10.75 tff(20580,plain,
% 15.51/10.75 ((~(v191(constB150) <=> (v194(constB150) | v198(constB150)))) | (~v191(constB150)) | (v194(constB150) | v198(constB150))),
% 15.51/10.75 inference(tautology,[status(thm)],[])).
% 15.51/10.75 tff(20581,plain,
% 15.51/10.75 (~v191(constB150)),
% 15.51/10.75 inference(unit_resolution,[status(thm)],[20580, 20579, 13398])).
% 15.51/10.75 tff(20582,plain,
% 15.51/10.75 ((~(v193(constB151) <=> v191(constB150))) | (~v193(constB151)) | v191(constB150)),
% 15.51/10.75 inference(tautology,[status(thm)],[])).
% 15.51/10.75 tff(20583,plain,
% 15.51/10.75 (~v193(constB151)),
% 15.51/10.75 inference(unit_resolution,[status(thm)],[20582, 20581, 13396])).
% 15.51/10.75 tff(20584,plain,
% 15.51/10.75 ($false),
% 15.51/10.75 inference(unit_resolution,[status(thm)],[20583, 13389])).
% 15.51/10.75 tff(20585,plain,(~(constB151 = VarCurr!0)), inference(lemma,lemma(discharge,[]))).
% 15.51/10.75 tff(20586,assumption,(constB169 = VarCurr!0), introduced(assumption)).
% 15.51/10.75 tff(20587,plain,
% 15.51/10.75 (v86(constB169) <=> v86(VarCurr!0)),
% 15.51/10.75 inference(monotonicity,[status(thm)],[20586])).
% 15.51/10.75 tff(20588,plain,
% 15.51/10.75 (v86(VarCurr!0) <=> v86(constB169)),
% 15.51/10.75 inference(symmetry,[status(thm)],[20587])).
% 15.51/10.75 tff(20589,plain,
% 15.51/10.75 ((~v86(VarCurr!0)) <=> (~v86(constB169))),
% 15.51/10.75 inference(monotonicity,[status(thm)],[20588])).
% 15.51/10.75 tff(20590,plain,
% 15.51/10.75 (^[VarCurr: $i] : refl((v84(VarCurr) <=> v86(VarCurr)) <=> (v84(VarCurr) <=> v86(VarCurr)))),
% 15.51/10.75 inference(bind,[status(th)],[])).
% 15.51/10.75 tff(20591,plain,
% 15.51/10.75 (![VarCurr: $i] : (v84(VarCurr) <=> v86(VarCurr)) <=> ![VarCurr: $i] : (v84(VarCurr) <=> v86(VarCurr))),
% 15.51/10.75 inference(quant_intro,[status(thm)],[20590])).
% 15.51/10.75 tff(20592,plain,
% 15.51/10.75 (![VarCurr: $i] : (v84(VarCurr) <=> v86(VarCurr)) <=> ![VarCurr: $i] : (v84(VarCurr) <=> v86(VarCurr))),
% 15.51/10.75 inference(rewrite,[status(thm)],[])).
% 15.51/10.75 tff(20593,axiom,(![VarCurr: $i] : (v84(VarCurr) <=> v86(VarCurr))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','addAssignment_9')).
% 15.51/10.75 tff(20594,plain,
% 15.51/10.75 (![VarCurr: $i] : (v84(VarCurr) <=> v86(VarCurr))),
% 15.51/10.76 inference(modus_ponens,[status(thm)],[20593, 20592])).
% 15.51/10.76 tff(20595,plain,(
% 15.51/10.76 ![VarCurr: $i] : (v84(VarCurr) <=> v86(VarCurr))),
% 15.51/10.76 inference(skolemize,[status(sab)],[20594])).
% 15.51/10.76 tff(20596,plain,
% 15.51/10.76 (![VarCurr: $i] : (v84(VarCurr) <=> v86(VarCurr))),
% 15.51/10.76 inference(modus_ponens,[status(thm)],[20595, 20591])).
% 15.51/10.76 tff(20597,plain,
% 15.51/10.76 ((~![VarCurr: $i] : (v84(VarCurr) <=> v86(VarCurr))) | (v84(VarCurr!0) <=> v86(VarCurr!0))),
% 15.51/10.76 inference(quant_inst,[status(thm)],[])).
% 15.51/10.76 tff(20598,plain,
% 15.51/10.76 (v84(VarCurr!0) <=> v86(VarCurr!0)),
% 15.51/10.76 inference(unit_resolution,[status(thm)],[20597, 20596])).
% 15.51/10.76 tff(20599,plain,
% 15.51/10.76 (^[VarCurr: $i] : refl(((~v208(VarCurr)) <=> v84(VarCurr)) <=> ((~v208(VarCurr)) <=> v84(VarCurr)))),
% 15.51/10.76 inference(bind,[status(th)],[])).
% 15.51/10.76 tff(20600,plain,
% 15.51/10.76 (![VarCurr: $i] : ((~v208(VarCurr)) <=> v84(VarCurr)) <=> ![VarCurr: $i] : ((~v208(VarCurr)) <=> v84(VarCurr))),
% 15.51/10.76 inference(quant_intro,[status(thm)],[20599])).
% 15.51/10.76 tff(20601,plain,
% 15.51/10.76 (![VarCurr: $i] : ((~v208(VarCurr)) <=> v84(VarCurr)) <=> ![VarCurr: $i] : ((~v208(VarCurr)) <=> v84(VarCurr))),
% 15.51/10.76 inference(rewrite,[status(thm)],[])).
% 15.51/10.76 tff(20602,axiom,(![VarCurr: $i] : ((~v208(VarCurr)) <=> v84(VarCurr))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','writeUnaryOperator_17')).
% 15.51/10.76 tff(20603,plain,
% 15.51/10.76 (![VarCurr: $i] : ((~v208(VarCurr)) <=> v84(VarCurr))),
% 15.51/10.76 inference(modus_ponens,[status(thm)],[20602, 20601])).
% 15.51/10.76 tff(20604,plain,(
% 15.51/10.76 ![VarCurr: $i] : ((~v208(VarCurr)) <=> v84(VarCurr))),
% 15.51/10.76 inference(skolemize,[status(sab)],[20603])).
% 15.51/10.76 tff(20605,plain,
% 15.51/10.76 (![VarCurr: $i] : ((~v208(VarCurr)) <=> v84(VarCurr))),
% 15.51/10.76 inference(modus_ponens,[status(thm)],[20604, 20600])).
% 15.51/10.76 tff(20606,plain,
% 15.51/10.76 ((~![VarCurr: $i] : ((~v208(VarCurr)) <=> v84(VarCurr))) | ((~v208(VarCurr!0)) <=> v84(VarCurr!0))),
% 15.51/10.76 inference(quant_inst,[status(thm)],[])).
% 15.51/10.76 tff(20607,plain,
% 15.51/10.76 ((~v208(VarCurr!0)) <=> v84(VarCurr!0)),
% 15.51/10.76 inference(unit_resolution,[status(thm)],[20606, 20605])).
% 15.51/10.76 tff(20608,plain,
% 15.51/10.76 (^[VarCurr: $i] : refl((v207(VarCurr) <=> (~((~v197(VarCurr)) | (~v208(VarCurr))))) <=> (v207(VarCurr) <=> (~((~v197(VarCurr)) | (~v208(VarCurr))))))),
% 15.51/10.76 inference(bind,[status(th)],[])).
% 15.51/10.76 tff(20609,plain,
% 15.51/10.76 (![VarCurr: $i] : (v207(VarCurr) <=> (~((~v197(VarCurr)) | (~v208(VarCurr))))) <=> ![VarCurr: $i] : (v207(VarCurr) <=> (~((~v197(VarCurr)) | (~v208(VarCurr)))))),
% 15.51/10.76 inference(quant_intro,[status(thm)],[20608])).
% 15.51/10.76 tff(20610,plain,
% 15.51/10.76 (^[VarCurr: $i] : rewrite((v207(VarCurr) <=> (v197(VarCurr) & v208(VarCurr))) <=> (v207(VarCurr) <=> (~((~v197(VarCurr)) | (~v208(VarCurr))))))),
% 15.51/10.76 inference(bind,[status(th)],[])).
% 15.51/10.76 tff(20611,plain,
% 15.51/10.76 (![VarCurr: $i] : (v207(VarCurr) <=> (v197(VarCurr) & v208(VarCurr))) <=> ![VarCurr: $i] : (v207(VarCurr) <=> (~((~v197(VarCurr)) | (~v208(VarCurr)))))),
% 15.51/10.76 inference(quant_intro,[status(thm)],[20610])).
% 15.51/10.76 tff(20612,plain,
% 15.51/10.76 (![VarCurr: $i] : (v207(VarCurr) <=> (v197(VarCurr) & v208(VarCurr))) <=> ![VarCurr: $i] : (v207(VarCurr) <=> (v197(VarCurr) & v208(VarCurr)))),
% 15.51/10.76 inference(rewrite,[status(thm)],[])).
% 15.51/10.76 tff(20613,axiom,(![VarCurr: $i] : (v207(VarCurr) <=> (v197(VarCurr) & v208(VarCurr)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','writeBinaryOperatorEqualRangesSingleBits_51')).
% 15.51/10.76 tff(20614,plain,
% 15.51/10.76 (![VarCurr: $i] : (v207(VarCurr) <=> (v197(VarCurr) & v208(VarCurr)))),
% 15.51/10.76 inference(modus_ponens,[status(thm)],[20613, 20612])).
% 15.51/10.76 tff(20615,plain,(
% 15.51/10.76 ![VarCurr: $i] : (v207(VarCurr) <=> (v197(VarCurr) & v208(VarCurr)))),
% 15.51/10.76 inference(skolemize,[status(sab)],[20614])).
% 15.51/10.76 tff(20616,plain,
% 15.51/10.76 (![VarCurr: $i] : (v207(VarCurr) <=> (~((~v197(VarCurr)) | (~v208(VarCurr)))))),
% 15.51/10.76 inference(modus_ponens,[status(thm)],[20615, 20611])).
% 15.51/10.76 tff(20617,plain,
% 15.51/10.76 (![VarCurr: $i] : (v207(VarCurr) <=> (~((~v197(VarCurr)) | (~v208(VarCurr)))))),
% 15.51/10.76 inference(modus_ponens,[status(thm)],[20616, 20609])).
% 15.51/10.76 tff(20618,plain,
% 15.51/10.76 ((~![VarCurr: $i] : (v207(VarCurr) <=> (~((~v197(VarCurr)) | (~v208(VarCurr)))))) | (v207(VarCurr!0) <=> (~((~v197(VarCurr!0)) | (~v208(VarCurr!0)))))),
% 15.51/10.76 inference(quant_inst,[status(thm)],[])).
% 15.51/10.76 tff(20619,plain,
% 15.51/10.76 (v207(VarCurr!0) <=> (~((~v197(VarCurr!0)) | (~v208(VarCurr!0))))),
% 15.51/10.76 inference(unit_resolution,[status(thm)],[20618, 20617])).
% 15.51/10.76 tff(20620,plain,
% 15.51/10.76 (^[VarCurr: $i] : refl((v206(VarCurr) <=> (~((~v199(VarCurr)) | (~v207(VarCurr))))) <=> (v206(VarCurr) <=> (~((~v199(VarCurr)) | (~v207(VarCurr))))))),
% 15.51/10.76 inference(bind,[status(th)],[])).
% 15.51/10.76 tff(20621,plain,
% 15.51/10.76 (![VarCurr: $i] : (v206(VarCurr) <=> (~((~v199(VarCurr)) | (~v207(VarCurr))))) <=> ![VarCurr: $i] : (v206(VarCurr) <=> (~((~v199(VarCurr)) | (~v207(VarCurr)))))),
% 15.51/10.76 inference(quant_intro,[status(thm)],[20620])).
% 15.51/10.76 tff(20622,plain,
% 15.51/10.76 (^[VarCurr: $i] : rewrite((v206(VarCurr) <=> (v199(VarCurr) & v207(VarCurr))) <=> (v206(VarCurr) <=> (~((~v199(VarCurr)) | (~v207(VarCurr))))))),
% 15.51/10.76 inference(bind,[status(th)],[])).
% 15.51/10.76 tff(20623,plain,
% 15.51/10.76 (![VarCurr: $i] : (v206(VarCurr) <=> (v199(VarCurr) & v207(VarCurr))) <=> ![VarCurr: $i] : (v206(VarCurr) <=> (~((~v199(VarCurr)) | (~v207(VarCurr)))))),
% 15.51/10.76 inference(quant_intro,[status(thm)],[20622])).
% 15.51/10.76 tff(20624,plain,
% 15.51/10.76 (![VarCurr: $i] : (v206(VarCurr) <=> (v199(VarCurr) & v207(VarCurr))) <=> ![VarCurr: $i] : (v206(VarCurr) <=> (v199(VarCurr) & v207(VarCurr)))),
% 15.51/10.76 inference(rewrite,[status(thm)],[])).
% 15.51/10.76 tff(20625,axiom,(![VarCurr: $i] : (v206(VarCurr) <=> (v199(VarCurr) & v207(VarCurr)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','writeBinaryOperatorEqualRangesSingleBits_52')).
% 15.51/10.76 tff(20626,plain,
% 15.51/10.76 (![VarCurr: $i] : (v206(VarCurr) <=> (v199(VarCurr) & v207(VarCurr)))),
% 15.51/10.76 inference(modus_ponens,[status(thm)],[20625, 20624])).
% 15.51/10.76 tff(20627,plain,(
% 15.51/10.76 ![VarCurr: $i] : (v206(VarCurr) <=> (v199(VarCurr) & v207(VarCurr)))),
% 15.51/10.76 inference(skolemize,[status(sab)],[20626])).
% 15.51/10.76 tff(20628,plain,
% 15.51/10.76 (![VarCurr: $i] : (v206(VarCurr) <=> (~((~v199(VarCurr)) | (~v207(VarCurr)))))),
% 15.51/10.76 inference(modus_ponens,[status(thm)],[20627, 20623])).
% 15.51/10.76 tff(20629,plain,
% 15.51/10.76 (![VarCurr: $i] : (v206(VarCurr) <=> (~((~v199(VarCurr)) | (~v207(VarCurr)))))),
% 15.51/10.76 inference(modus_ponens,[status(thm)],[20628, 20621])).
% 15.51/10.76 tff(20630,plain,
% 15.51/10.76 ((~![VarCurr: $i] : (v206(VarCurr) <=> (~((~v199(VarCurr)) | (~v207(VarCurr)))))) | (v206(VarCurr!0) <=> (~((~v199(VarCurr!0)) | (~v207(VarCurr!0)))))),
% 15.51/10.76 inference(quant_inst,[status(thm)],[])).
% 15.51/10.76 tff(20631,plain,
% 15.51/10.76 (v206(VarCurr!0) <=> (~((~v199(VarCurr!0)) | (~v207(VarCurr!0))))),
% 15.51/10.76 inference(unit_resolution,[status(thm)],[20630, 20629])).
% 15.51/10.76 tff(20632,plain,
% 15.51/10.76 (((~v206(VarCurr!0)) | (~v157(VarCurr!0))) | v206(VarCurr!0)),
% 15.51/10.76 inference(tautology,[status(thm)],[])).
% 15.51/10.76 tff(20633,plain,
% 15.51/10.76 (v206(VarCurr!0)),
% 15.51/10.76 inference(unit_resolution,[status(thm)],[20632, 54])).
% 15.51/10.76 tff(20634,plain,
% 15.51/10.76 ((~(v206(VarCurr!0) <=> (~((~v199(VarCurr!0)) | (~v207(VarCurr!0)))))) | (~v206(VarCurr!0)) | (~((~v199(VarCurr!0)) | (~v207(VarCurr!0))))),
% 15.51/10.76 inference(tautology,[status(thm)],[])).
% 15.51/10.76 tff(20635,plain,
% 15.51/10.76 ((~(v206(VarCurr!0) <=> (~((~v199(VarCurr!0)) | (~v207(VarCurr!0)))))) | (~((~v199(VarCurr!0)) | (~v207(VarCurr!0))))),
% 15.51/10.76 inference(unit_resolution,[status(thm)],[20634, 20633])).
% 15.51/10.76 tff(20636,plain,
% 15.51/10.76 (~((~v199(VarCurr!0)) | (~v207(VarCurr!0)))),
% 15.51/10.76 inference(unit_resolution,[status(thm)],[20635, 20631])).
% 15.51/10.76 tff(20637,plain,
% 15.51/10.76 (((~v199(VarCurr!0)) | (~v207(VarCurr!0))) | v207(VarCurr!0)),
% 15.51/10.76 inference(tautology,[status(thm)],[])).
% 15.51/10.76 tff(20638,plain,
% 15.51/10.76 (v207(VarCurr!0)),
% 15.51/10.76 inference(unit_resolution,[status(thm)],[20637, 20636])).
% 15.51/10.76 tff(20639,plain,
% 15.51/10.76 ((~(v207(VarCurr!0) <=> (~((~v197(VarCurr!0)) | (~v208(VarCurr!0)))))) | (~v207(VarCurr!0)) | (~((~v197(VarCurr!0)) | (~v208(VarCurr!0))))),
% 15.51/10.76 inference(tautology,[status(thm)],[])).
% 15.51/10.76 tff(20640,plain,
% 15.51/10.76 ((~(v207(VarCurr!0) <=> (~((~v197(VarCurr!0)) | (~v208(VarCurr!0)))))) | (~((~v197(VarCurr!0)) | (~v208(VarCurr!0))))),
% 15.51/10.76 inference(unit_resolution,[status(thm)],[20639, 20638])).
% 15.51/10.76 tff(20641,plain,
% 15.51/10.76 (~((~v197(VarCurr!0)) | (~v208(VarCurr!0)))),
% 15.51/10.76 inference(unit_resolution,[status(thm)],[20640, 20619])).
% 15.51/10.76 tff(20642,plain,
% 15.51/10.76 (((~v197(VarCurr!0)) | (~v208(VarCurr!0))) | v208(VarCurr!0)),
% 15.51/10.76 inference(tautology,[status(thm)],[])).
% 15.51/10.76 tff(20643,plain,
% 15.51/10.76 (v208(VarCurr!0)),
% 15.51/10.76 inference(unit_resolution,[status(thm)],[20642, 20641])).
% 15.51/10.76 tff(20644,plain,
% 15.51/10.76 ((~((~v208(VarCurr!0)) <=> v84(VarCurr!0))) | (~v208(VarCurr!0)) | (~v84(VarCurr!0))),
% 15.51/10.76 inference(tautology,[status(thm)],[])).
% 15.51/10.76 tff(20645,plain,
% 15.51/10.76 ((~((~v208(VarCurr!0)) <=> v84(VarCurr!0))) | (~v84(VarCurr!0))),
% 15.51/10.76 inference(unit_resolution,[status(thm)],[20644, 20643])).
% 15.51/10.76 tff(20646,plain,
% 15.51/10.76 (~v84(VarCurr!0)),
% 15.51/10.76 inference(unit_resolution,[status(thm)],[20645, 20607])).
% 15.51/10.76 tff(20647,plain,
% 15.51/10.76 ((~(v84(VarCurr!0) <=> v86(VarCurr!0))) | v84(VarCurr!0) | (~v86(VarCurr!0))),
% 15.51/10.76 inference(tautology,[status(thm)],[])).
% 15.51/10.76 tff(20648,plain,
% 15.51/10.76 ((~(v84(VarCurr!0) <=> v86(VarCurr!0))) | (~v86(VarCurr!0))),
% 15.51/10.76 inference(unit_resolution,[status(thm)],[20647, 20646])).
% 15.51/10.76 tff(20649,plain,
% 15.51/10.76 (~v86(VarCurr!0)),
% 15.51/10.76 inference(unit_resolution,[status(thm)],[20648, 20598])).
% 15.51/10.76 tff(20650,plain,
% 15.51/10.76 (~v86(constB169)),
% 15.51/10.76 inference(modus_ponens,[status(thm)],[20649, 20589])).
% 15.51/10.76 tff(20651,plain,
% 15.51/10.76 ((~![VarCurr: $i] : (v142(VarCurr) <=> (v143(VarCurr) | v144(VarCurr)))) | (v142(constB169) <=> (v143(constB169) | v144(constB169)))),
% 15.51/10.76 inference(quant_inst,[status(thm)],[])).
% 15.51/10.76 tff(20652,plain,
% 15.51/10.76 (v142(constB169) <=> (v143(constB169) | v144(constB169))),
% 15.51/10.76 inference(unit_resolution,[status(thm)],[20651, 378])).
% 15.51/10.76 tff(20653,plain,
% 15.51/10.76 (^[VarCurr: $i] : refl((v143(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1))))) <=> (v143(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1))))))),
% 15.51/10.76 inference(bind,[status(th)],[])).
% 15.51/10.76 tff(20654,plain,
% 15.51/10.76 (![VarCurr: $i] : (v143(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1))))) <=> ![VarCurr: $i] : (v143(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)))))),
% 15.51/10.76 inference(quant_intro,[status(thm)],[20653])).
% 15.51/10.76 tff(20655,plain,
% 15.51/10.76 (^[VarCurr: $i] : rewrite((v143(VarCurr) <=> ((~v88(VarCurr, bitIndex2)) & v88(VarCurr, bitIndex1) & (~v88(VarCurr, bitIndex0)))) <=> (v143(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1))))))),
% 15.51/10.76 inference(bind,[status(th)],[])).
% 15.51/10.76 tff(20656,plain,
% 15.51/10.76 (![VarCurr: $i] : (v143(VarCurr) <=> ((~v88(VarCurr, bitIndex2)) & v88(VarCurr, bitIndex1) & (~v88(VarCurr, bitIndex0)))) <=> ![VarCurr: $i] : (v143(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)))))),
% 15.51/10.76 inference(quant_intro,[status(thm)],[20655])).
% 15.51/10.76 tff(20657,plain,
% 15.51/10.76 (![VarCurr: $i] : (v143(VarCurr) <=> ((~v88(VarCurr, bitIndex2)) & v88(VarCurr, bitIndex1) & (~v88(VarCurr, bitIndex0)))) <=> ![VarCurr: $i] : (v143(VarCurr) <=> ((~v88(VarCurr, bitIndex2)) & v88(VarCurr, bitIndex1) & (~v88(VarCurr, bitIndex0))))),
% 15.51/10.76 inference(rewrite,[status(thm)],[])).
% 15.51/10.76 tff(20658,plain,
% 15.51/10.76 (^[VarCurr: $i] : rewrite((v143(VarCurr) <=> (((v88(VarCurr, bitIndex2) <=> $false) & (v88(VarCurr, bitIndex1) <=> $true)) & (v88(VarCurr, bitIndex0) <=> $false))) <=> (v143(VarCurr) <=> ((~v88(VarCurr, bitIndex2)) & v88(VarCurr, bitIndex1) & (~v88(VarCurr, bitIndex0)))))),
% 15.51/10.76 inference(bind,[status(th)],[])).
% 15.51/10.76 tff(20659,plain,
% 15.51/10.76 (![VarCurr: $i] : (v143(VarCurr) <=> (((v88(VarCurr, bitIndex2) <=> $false) & (v88(VarCurr, bitIndex1) <=> $true)) & (v88(VarCurr, bitIndex0) <=> $false))) <=> ![VarCurr: $i] : (v143(VarCurr) <=> ((~v88(VarCurr, bitIndex2)) & v88(VarCurr, bitIndex1) & (~v88(VarCurr, bitIndex0))))),
% 15.51/10.76 inference(quant_intro,[status(thm)],[20658])).
% 15.51/10.76 tff(20660,axiom,(![VarCurr: $i] : (v143(VarCurr) <=> (((v88(VarCurr, bitIndex2) <=> $false) & (v88(VarCurr, bitIndex1) <=> $true)) & (v88(VarCurr, bitIndex0) <=> $false)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','addBitVectorEqualityBitBlasted_12')).
% 15.51/10.76 tff(20661,plain,
% 15.51/10.76 (![VarCurr: $i] : (v143(VarCurr) <=> ((~v88(VarCurr, bitIndex2)) & v88(VarCurr, bitIndex1) & (~v88(VarCurr, bitIndex0))))),
% 15.51/10.76 inference(modus_ponens,[status(thm)],[20660, 20659])).
% 15.51/10.76 tff(20662,plain,
% 15.51/10.76 (![VarCurr: $i] : (v143(VarCurr) <=> ((~v88(VarCurr, bitIndex2)) & v88(VarCurr, bitIndex1) & (~v88(VarCurr, bitIndex0))))),
% 15.51/10.76 inference(modus_ponens,[status(thm)],[20661, 20657])).
% 15.51/10.76 tff(20663,plain,(
% 15.51/10.76 ![VarCurr: $i] : (v143(VarCurr) <=> ((~v88(VarCurr, bitIndex2)) & v88(VarCurr, bitIndex1) & (~v88(VarCurr, bitIndex0))))),
% 15.51/10.76 inference(skolemize,[status(sab)],[20662])).
% 15.51/10.76 tff(20664,plain,
% 15.51/10.76 (![VarCurr: $i] : (v143(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)))))),
% 15.51/10.76 inference(modus_ponens,[status(thm)],[20663, 20656])).
% 15.51/10.76 tff(20665,plain,
% 15.51/10.76 (![VarCurr: $i] : (v143(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)))))),
% 15.51/10.76 inference(modus_ponens,[status(thm)],[20664, 20654])).
% 15.51/10.76 tff(20666,plain,
% 15.51/10.76 (((~![VarCurr: $i] : (v143(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)))))) | (v143(constB169) <=> (~(v88(constB169, bitIndex2) | (~v88(constB169, bitIndex1)) | v88(constB169, bitIndex0))))) <=> ((~![VarCurr: $i] : (v143(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)))))) | (v143(constB169) <=> (~(v88(constB169, bitIndex2) | (~v88(constB169, bitIndex1)) | v88(constB169, bitIndex0)))))),
% 15.51/10.76 inference(rewrite,[status(thm)],[])).
% 15.51/10.76 tff(20667,plain,
% 15.51/10.76 ((v143(constB169) <=> (~(v88(constB169, bitIndex0) | v88(constB169, bitIndex2) | (~v88(constB169, bitIndex1))))) <=> (v143(constB169) <=> (~(v88(constB169, bitIndex2) | (~v88(constB169, bitIndex1)) | v88(constB169, bitIndex0))))),
% 15.51/10.76 inference(rewrite,[status(thm)],[])).
% 15.51/10.76 tff(20668,plain,
% 15.51/10.76 (((~![VarCurr: $i] : (v143(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)))))) | (v143(constB169) <=> (~(v88(constB169, bitIndex0) | v88(constB169, bitIndex2) | (~v88(constB169, bitIndex1)))))) <=> ((~![VarCurr: $i] : (v143(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)))))) | (v143(constB169) <=> (~(v88(constB169, bitIndex2) | (~v88(constB169, bitIndex1)) | v88(constB169, bitIndex0)))))),
% 15.51/10.76 inference(monotonicity,[status(thm)],[20667])).
% 15.51/10.76 tff(20669,plain,
% 15.51/10.76 (((~![VarCurr: $i] : (v143(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)))))) | (v143(constB169) <=> (~(v88(constB169, bitIndex0) | v88(constB169, bitIndex2) | (~v88(constB169, bitIndex1)))))) <=> ((~![VarCurr: $i] : (v143(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)))))) | (v143(constB169) <=> (~(v88(constB169, bitIndex2) | (~v88(constB169, bitIndex1)) | v88(constB169, bitIndex0)))))),
% 15.51/10.76 inference(transitivity,[status(thm)],[20668, 20666])).
% 15.51/10.76 tff(20670,plain,
% 15.51/10.76 ((~![VarCurr: $i] : (v143(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)))))) | (v143(constB169) <=> (~(v88(constB169, bitIndex0) | v88(constB169, bitIndex2) | (~v88(constB169, bitIndex1)))))),
% 15.51/10.76 inference(quant_inst,[status(thm)],[])).
% 15.51/10.76 tff(20671,plain,
% 15.51/10.76 ((~![VarCurr: $i] : (v143(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)))))) | (v143(constB169) <=> (~(v88(constB169, bitIndex2) | (~v88(constB169, bitIndex1)) | v88(constB169, bitIndex0))))),
% 15.51/10.76 inference(modus_ponens,[status(thm)],[20670, 20669])).
% 15.51/10.76 tff(20672,plain,
% 15.51/10.76 (v143(constB169) <=> (~(v88(constB169, bitIndex2) | (~v88(constB169, bitIndex1)) | v88(constB169, bitIndex0)))),
% 15.51/10.76 inference(unit_resolution,[status(thm)],[20671, 20665])).
% 15.51/10.76 tff(20673,plain,
% 15.51/10.76 (((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | ((~less_3(bitIndex2)) | (v88(constB169, bitIndex2) <=> v90(constB169, bitIndex2)))) <=> ((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | (~less_3(bitIndex2)) | (v88(constB169, bitIndex2) <=> v90(constB169, bitIndex2)))),
% 15.51/10.76 inference(rewrite,[status(thm)],[])).
% 15.51/10.76 tff(20674,plain,
% 15.51/10.76 ((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | ((~less_3(bitIndex2)) | (v88(constB169, bitIndex2) <=> v90(constB169, bitIndex2)))),
% 15.51/10.76 inference(quant_inst,[status(thm)],[])).
% 15.51/10.76 tff(20675,plain,
% 15.51/10.76 ((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | (~less_3(bitIndex2)) | (v88(constB169, bitIndex2) <=> v90(constB169, bitIndex2))),
% 15.51/10.76 inference(modus_ponens,[status(thm)],[20674, 20673])).
% 15.51/10.76 tff(20676,plain,
% 15.51/10.76 (v88(constB169, bitIndex2) <=> v90(constB169, bitIndex2)),
% 15.51/10.76 inference(unit_resolution,[status(thm)],[20675, 413, 410])).
% 15.51/10.76 tff(20677,plain,
% 15.51/10.76 (nextState(constB168, constB169) <=> nextState(constB168, constB169)),
% 15.51/10.76 inference(rewrite,[status(thm)],[])).
% 15.51/10.76 tff(20678,axiom,(nextState(constB168, constB169)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_168')).
% 15.51/10.76 tff(20679,plain,
% 15.51/10.76 (nextState(constB168, constB169)),
% 15.51/10.76 inference(modus_ponens,[status(thm)],[20678, 20677])).
% 15.51/10.76 tff(20680,plain,
% 15.51/10.76 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB168, constB169)) | (v100(constB169) <=> (~((~v101(constB169)) | (~v110(constB169))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB168, constB169)) | (v100(constB169) <=> (~((~v101(constB169)) | (~v110(constB169))))))),
% 15.51/10.76 inference(rewrite,[status(thm)],[])).
% 15.51/10.76 tff(20681,plain,
% 15.51/10.76 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB168, constB169)) | (v100(constB169) <=> (~((~v101(constB169)) | (~v110(constB169))))))),
% 15.51/10.76 inference(quant_inst,[status(thm)],[])).
% 15.51/10.76 tff(20682,plain,
% 15.51/10.76 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB168, constB169)) | (v100(constB169) <=> (~((~v101(constB169)) | (~v110(constB169)))))),
% 15.51/10.76 inference(modus_ponens,[status(thm)],[20681, 20680])).
% 15.51/10.76 tff(20683,plain,
% 15.51/10.76 (v100(constB169) <=> (~((~v101(constB169)) | (~v110(constB169))))),
% 15.51/10.76 inference(unit_resolution,[status(thm)],[20682, 20679, 430])).
% 15.51/10.76 tff(20684,plain,
% 15.51/10.76 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB168, constB169)) | (v101(constB169) <=> (~((~v1(constB169)) | (~v102(constB169))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB168, constB169)) | (v101(constB169) <=> (~((~v1(constB169)) | (~v102(constB169))))))),
% 15.51/10.76 inference(rewrite,[status(thm)],[])).
% 15.51/10.76 tff(20685,plain,
% 15.51/10.76 (((~nextState(constB168, constB169)) | (v101(constB169) <=> (~((~v102(constB169)) | (~v1(constB169)))))) <=> ((~nextState(constB168, constB169)) | (v101(constB169) <=> (~((~v1(constB169)) | (~v102(constB169))))))),
% 15.51/10.76 inference(rewrite,[status(thm)],[])).
% 15.51/10.76 tff(20686,plain,
% 15.51/10.76 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB168, constB169)) | (v101(constB169) <=> (~((~v102(constB169)) | (~v1(constB169))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB168, constB169)) | (v101(constB169) <=> (~((~v1(constB169)) | (~v102(constB169)))))))),
% 15.51/10.76 inference(monotonicity,[status(thm)],[20685])).
% 15.51/10.76 tff(20687,plain,
% 15.51/10.76 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB168, constB169)) | (v101(constB169) <=> (~((~v102(constB169)) | (~v1(constB169))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB168, constB169)) | (v101(constB169) <=> (~((~v1(constB169)) | (~v102(constB169))))))),
% 15.51/10.76 inference(transitivity,[status(thm)],[20686, 20684])).
% 15.51/10.77 tff(20688,plain,
% 15.51/10.77 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB168, constB169)) | (v101(constB169) <=> (~((~v102(constB169)) | (~v1(constB169))))))),
% 15.51/10.77 inference(quant_inst,[status(thm)],[])).
% 15.51/10.77 tff(20689,plain,
% 15.51/10.77 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB168, constB169)) | (v101(constB169) <=> (~((~v1(constB169)) | (~v102(constB169)))))),
% 15.51/10.77 inference(modus_ponens,[status(thm)],[20688, 20687])).
% 15.51/10.77 tff(20690,plain,
% 15.51/10.77 (v101(constB169) <=> (~((~v1(constB169)) | (~v102(constB169))))),
% 15.51/10.77 inference(unit_resolution,[status(thm)],[20689, 20679, 450])).
% 15.51/10.77 tff(20691,plain,
% 15.51/10.77 ((~v1(constB169)) <=> (~v1(constB169))),
% 15.51/10.77 inference(rewrite,[status(thm)],[])).
% 15.51/10.77 tff(20692,axiom,(~v1(constB169)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_169')).
% 15.51/10.77 tff(20693,plain,
% 15.51/10.77 (~v1(constB169)),
% 15.51/10.77 inference(modus_ponens,[status(thm)],[20692, 20691])).
% 15.51/10.77 tff(20694,plain,
% 15.51/10.77 (((~v1(constB169)) | (~v102(constB169))) | v1(constB169)),
% 15.51/10.77 inference(tautology,[status(thm)],[])).
% 15.51/10.77 tff(20695,plain,
% 15.51/10.77 ((~v1(constB169)) | (~v102(constB169))),
% 15.51/10.77 inference(unit_resolution,[status(thm)],[20694, 20693])).
% 15.51/10.77 tff(20696,plain,
% 15.51/10.77 ((~(v101(constB169) <=> (~((~v1(constB169)) | (~v102(constB169)))))) | (~v101(constB169)) | (~((~v1(constB169)) | (~v102(constB169))))),
% 15.51/10.77 inference(tautology,[status(thm)],[])).
% 15.51/10.77 tff(20697,plain,
% 15.51/10.77 ((~(v101(constB169) <=> (~((~v1(constB169)) | (~v102(constB169)))))) | (~v101(constB169))),
% 15.51/10.77 inference(unit_resolution,[status(thm)],[20696, 20695])).
% 15.51/10.77 tff(20698,plain,
% 15.51/10.77 (~v101(constB169)),
% 15.51/10.77 inference(unit_resolution,[status(thm)],[20697, 20690])).
% 15.51/10.77 tff(20699,plain,
% 15.51/10.77 (((~v101(constB169)) | (~v110(constB169))) | v101(constB169)),
% 15.51/10.77 inference(tautology,[status(thm)],[])).
% 15.51/10.77 tff(20700,plain,
% 15.51/10.77 ((~v101(constB169)) | (~v110(constB169))),
% 15.51/10.77 inference(unit_resolution,[status(thm)],[20699, 20698])).
% 15.51/10.77 tff(20701,plain,
% 15.51/10.77 ((~(v100(constB169) <=> (~((~v101(constB169)) | (~v110(constB169)))))) | (~v100(constB169)) | (~((~v101(constB169)) | (~v110(constB169))))),
% 15.51/10.77 inference(tautology,[status(thm)],[])).
% 15.51/10.77 tff(20702,plain,
% 15.51/10.77 (~v100(constB169)),
% 15.51/10.77 inference(unit_resolution,[status(thm)],[20701, 20700, 20683])).
% 15.51/10.77 tff(20703,plain,
% 15.51/10.77 (((~![VarCurr: $i, VarNext: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v90(VarCurr, B))))) | (v100(constB169) | (~nextState(constB168, constB169)) | ![B: $i] : ((~less_3(B)) | (v90(constB169, B) <=> v90(constB168, B))))) <=> ((~![VarCurr: $i, VarNext: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v90(VarCurr, B))))) | v100(constB169) | (~nextState(constB168, constB169)) | ![B: $i] : ((~less_3(B)) | (v90(constB169, B) <=> v90(constB168, B))))),
% 15.51/10.77 inference(rewrite,[status(thm)],[])).
% 15.51/10.77 tff(20704,plain,
% 15.51/10.77 ((~![VarCurr: $i, VarNext: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v90(VarCurr, B))))) | (v100(constB169) | (~nextState(constB168, constB169)) | ![B: $i] : ((~less_3(B)) | (v90(constB169, B) <=> v90(constB168, B))))),
% 15.51/10.77 inference(quant_inst,[status(thm)],[])).
% 15.51/10.77 tff(20705,plain,
% 15.51/10.77 ((~![VarCurr: $i, VarNext: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v90(VarCurr, B))))) | v100(constB169) | (~nextState(constB168, constB169)) | ![B: $i] : ((~less_3(B)) | (v90(constB169, B) <=> v90(constB168, B)))),
% 15.51/10.77 inference(modus_ponens,[status(thm)],[20704, 20703])).
% 15.51/10.77 tff(20706,plain,
% 15.51/10.77 (v100(constB169) | ![B: $i] : ((~less_3(B)) | (v90(constB169, B) <=> v90(constB168, B)))),
% 15.51/10.77 inference(unit_resolution,[status(thm)],[20705, 20679, 479])).
% 15.51/10.77 tff(20707,plain,
% 15.51/10.77 (![B: $i] : ((~less_3(B)) | (v90(constB169, B) <=> v90(constB168, B)))),
% 15.51/10.77 inference(unit_resolution,[status(thm)],[20706, 20702])).
% 15.51/10.77 tff(20708,plain,
% 15.51/10.77 (((~![B: $i] : ((~less_3(B)) | (v90(constB169, B) <=> v90(constB168, B)))) | ((~less_3(bitIndex2)) | (v90(constB169, bitIndex2) <=> v90(constB168, bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v90(constB169, B) <=> v90(constB168, B)))) | (~less_3(bitIndex2)) | (v90(constB169, bitIndex2) <=> v90(constB168, bitIndex2)))),
% 15.51/10.77 inference(rewrite,[status(thm)],[])).
% 15.51/10.77 tff(20709,plain,
% 15.51/10.77 ((~![B: $i] : ((~less_3(B)) | (v90(constB169, B) <=> v90(constB168, B)))) | ((~less_3(bitIndex2)) | (v90(constB169, bitIndex2) <=> v90(constB168, bitIndex2)))),
% 15.51/10.77 inference(quant_inst,[status(thm)],[])).
% 15.51/10.77 tff(20710,plain,
% 15.51/10.77 ((~![B: $i] : ((~less_3(B)) | (v90(constB169, B) <=> v90(constB168, B)))) | (~less_3(bitIndex2)) | (v90(constB169, bitIndex2) <=> v90(constB168, bitIndex2))),
% 15.51/10.77 inference(modus_ponens,[status(thm)],[20709, 20708])).
% 15.51/10.77 tff(20711,plain,
% 15.51/10.77 (v90(constB169, bitIndex2) <=> v90(constB168, bitIndex2)),
% 15.51/10.77 inference(unit_resolution,[status(thm)],[20710, 413, 20707])).
% 15.51/10.77 tff(20712,plain,
% 15.51/10.77 (nextState(constB167, constB168) <=> nextState(constB167, constB168)),
% 15.51/10.77 inference(rewrite,[status(thm)],[])).
% 15.51/10.77 tff(20713,axiom,(nextState(constB167, constB168)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_167')).
% 15.51/10.77 tff(20714,plain,
% 15.51/10.77 (nextState(constB167, constB168)),
% 15.51/10.77 inference(modus_ponens,[status(thm)],[20713, 20712])).
% 15.51/10.77 tff(20715,plain,
% 15.51/10.77 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB167, constB168)) | (v100(constB168) <=> (~((~v101(constB168)) | (~v110(constB168))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB167, constB168)) | (v100(constB168) <=> (~((~v101(constB168)) | (~v110(constB168))))))),
% 15.51/10.77 inference(rewrite,[status(thm)],[])).
% 15.51/10.77 tff(20716,plain,
% 15.51/10.77 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB167, constB168)) | (v100(constB168) <=> (~((~v101(constB168)) | (~v110(constB168))))))),
% 15.51/10.77 inference(quant_inst,[status(thm)],[])).
% 15.51/10.77 tff(20717,plain,
% 15.51/10.77 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB167, constB168)) | (v100(constB168) <=> (~((~v101(constB168)) | (~v110(constB168)))))),
% 15.51/10.77 inference(modus_ponens,[status(thm)],[20716, 20715])).
% 15.51/10.77 tff(20718,plain,
% 15.51/10.77 (v100(constB168) <=> (~((~v101(constB168)) | (~v110(constB168))))),
% 15.51/10.77 inference(unit_resolution,[status(thm)],[20717, 20714, 430])).
% 15.51/10.77 tff(20719,plain,
% 15.51/10.77 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB167, constB168)) | (v101(constB168) <=> (~((~v1(constB168)) | (~v102(constB168))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB167, constB168)) | (v101(constB168) <=> (~((~v1(constB168)) | (~v102(constB168))))))),
% 15.51/10.77 inference(rewrite,[status(thm)],[])).
% 15.51/10.77 tff(20720,plain,
% 15.51/10.77 (((~nextState(constB167, constB168)) | (v101(constB168) <=> (~((~v102(constB168)) | (~v1(constB168)))))) <=> ((~nextState(constB167, constB168)) | (v101(constB168) <=> (~((~v1(constB168)) | (~v102(constB168))))))),
% 15.51/10.77 inference(rewrite,[status(thm)],[])).
% 15.51/10.77 tff(20721,plain,
% 15.51/10.77 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB167, constB168)) | (v101(constB168) <=> (~((~v102(constB168)) | (~v1(constB168))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB167, constB168)) | (v101(constB168) <=> (~((~v1(constB168)) | (~v102(constB168)))))))),
% 15.51/10.77 inference(monotonicity,[status(thm)],[20720])).
% 15.51/10.77 tff(20722,plain,
% 15.51/10.77 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB167, constB168)) | (v101(constB168) <=> (~((~v102(constB168)) | (~v1(constB168))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB167, constB168)) | (v101(constB168) <=> (~((~v1(constB168)) | (~v102(constB168))))))),
% 15.51/10.77 inference(transitivity,[status(thm)],[20721, 20719])).
% 15.51/10.77 tff(20723,plain,
% 15.51/10.77 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB167, constB168)) | (v101(constB168) <=> (~((~v102(constB168)) | (~v1(constB168))))))),
% 15.51/10.77 inference(quant_inst,[status(thm)],[])).
% 15.51/10.77 tff(20724,plain,
% 15.51/10.77 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB167, constB168)) | (v101(constB168) <=> (~((~v1(constB168)) | (~v102(constB168)))))),
% 15.51/10.77 inference(modus_ponens,[status(thm)],[20723, 20722])).
% 15.51/10.77 tff(20725,plain,
% 15.51/10.77 (v101(constB168) <=> (~((~v1(constB168)) | (~v102(constB168))))),
% 15.51/10.77 inference(unit_resolution,[status(thm)],[20724, 20714, 450])).
% 15.51/10.77 tff(20726,plain,
% 15.51/10.77 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | ((~nextState(constB167, constB168)) | ((~v102(constB168)) <=> v104(constB168)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | (~nextState(constB167, constB168)) | ((~v102(constB168)) <=> v104(constB168)))),
% 15.51/10.77 inference(rewrite,[status(thm)],[])).
% 15.51/10.77 tff(20727,plain,
% 15.51/10.77 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | ((~nextState(constB167, constB168)) | ((~v102(constB168)) <=> v104(constB168)))),
% 15.51/10.77 inference(quant_inst,[status(thm)],[])).
% 15.51/10.77 tff(20728,plain,
% 15.51/10.77 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | (~nextState(constB167, constB168)) | ((~v102(constB168)) <=> v104(constB168))),
% 15.51/10.77 inference(modus_ponens,[status(thm)],[20727, 20726])).
% 15.51/10.77 tff(20729,plain,
% 15.51/10.77 ((~v102(constB168)) <=> v104(constB168)),
% 15.51/10.77 inference(unit_resolution,[status(thm)],[20728, 20714, 512])).
% 15.51/10.77 tff(20730,plain,
% 15.51/10.77 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB167, constB168)) | (v104(constB168) <=> v1(constB167)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | (~nextState(constB167, constB168)) | (v104(constB168) <=> v1(constB167)))),
% 15.51/10.77 inference(rewrite,[status(thm)],[])).
% 15.51/10.77 tff(20731,plain,
% 15.51/10.77 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB167, constB168)) | (v104(constB168) <=> v1(constB167)))),
% 15.51/10.77 inference(quant_inst,[status(thm)],[])).
% 15.51/10.77 tff(20732,plain,
% 15.51/10.77 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | (~nextState(constB167, constB168)) | (v104(constB168) <=> v1(constB167))),
% 15.51/10.77 inference(modus_ponens,[status(thm)],[20731, 20730])).
% 15.51/10.77 tff(20733,plain,
% 15.51/10.77 (v104(constB168) <=> v1(constB167)),
% 15.51/10.77 inference(unit_resolution,[status(thm)],[20732, 20714, 526])).
% 15.51/10.77 tff(20734,plain,
% 15.51/10.77 ((~v1(constB167)) <=> (~v1(constB167))),
% 15.51/10.77 inference(rewrite,[status(thm)],[])).
% 15.51/10.77 tff(20735,axiom,(~v1(constB167)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_167')).
% 15.51/10.77 tff(20736,plain,
% 15.51/10.77 (~v1(constB167)),
% 15.51/10.77 inference(modus_ponens,[status(thm)],[20735, 20734])).
% 15.51/10.77 tff(20737,plain,
% 15.51/10.77 ((~(v104(constB168) <=> v1(constB167))) | (~v104(constB168)) | v1(constB167)),
% 15.51/10.77 inference(tautology,[status(thm)],[])).
% 15.51/10.77 tff(20738,plain,
% 15.51/10.77 ((~(v104(constB168) <=> v1(constB167))) | (~v104(constB168))),
% 15.51/10.77 inference(unit_resolution,[status(thm)],[20737, 20736])).
% 15.51/10.77 tff(20739,plain,
% 15.51/10.77 (~v104(constB168)),
% 15.51/10.77 inference(unit_resolution,[status(thm)],[20738, 20733])).
% 15.51/10.77 tff(20740,plain,
% 15.51/10.77 ((~((~v102(constB168)) <=> v104(constB168))) | v102(constB168) | v104(constB168)),
% 15.51/10.77 inference(tautology,[status(thm)],[])).
% 15.51/10.77 tff(20741,plain,
% 15.51/10.77 (v102(constB168)),
% 15.51/10.77 inference(unit_resolution,[status(thm)],[20740, 20739, 20729])).
% 15.51/10.77 tff(20742,plain,
% 15.51/10.77 (v1(constB168) <=> v1(constB168)),
% 15.51/10.77 inference(rewrite,[status(thm)],[])).
% 15.51/10.77 tff(20743,axiom,(v1(constB168)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_168')).
% 15.51/10.77 tff(20744,plain,
% 15.51/10.77 (v1(constB168)),
% 15.51/10.77 inference(modus_ponens,[status(thm)],[20743, 20742])).
% 15.51/10.77 tff(20745,plain,
% 15.51/10.77 ((~((~v1(constB168)) | (~v102(constB168)))) | (~v1(constB168)) | (~v102(constB168))),
% 15.51/10.77 inference(tautology,[status(thm)],[])).
% 15.51/10.77 tff(20746,plain,
% 15.51/10.77 ((~((~v1(constB168)) | (~v102(constB168)))) | (~v102(constB168))),
% 15.51/10.77 inference(unit_resolution,[status(thm)],[20745, 20744])).
% 15.51/10.77 tff(20747,plain,
% 15.51/10.77 (~((~v1(constB168)) | (~v102(constB168)))),
% 15.51/10.77 inference(unit_resolution,[status(thm)],[20746, 20741])).
% 15.51/10.77 tff(20748,plain,
% 15.51/10.77 ((~(v101(constB168) <=> (~((~v1(constB168)) | (~v102(constB168)))))) | v101(constB168) | ((~v1(constB168)) | (~v102(constB168)))),
% 15.51/10.77 inference(tautology,[status(thm)],[])).
% 15.51/10.77 tff(20749,plain,
% 15.51/10.77 (v101(constB168)),
% 15.51/10.77 inference(unit_resolution,[status(thm)],[20748, 20747, 20725])).
% 15.51/10.77 tff(20750,plain,
% 15.51/10.77 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | ((~nextState(constB167, constB168)) | (v110(constB168) <=> v108(constB167)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | (~nextState(constB167, constB168)) | (v110(constB168) <=> v108(constB167)))),
% 15.51/10.77 inference(rewrite,[status(thm)],[])).
% 15.51/10.77 tff(20751,plain,
% 15.51/10.77 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | ((~nextState(constB167, constB168)) | (v110(constB168) <=> v108(constB167)))),
% 15.51/10.77 inference(quant_inst,[status(thm)],[])).
% 15.51/10.77 tff(20752,plain,
% 15.51/10.77 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | (~nextState(constB167, constB168)) | (v110(constB168) <=> v108(constB167))),
% 15.51/10.77 inference(modus_ponens,[status(thm)],[20751, 20750])).
% 15.51/10.77 tff(20753,plain,
% 15.51/10.77 (v110(constB168) <=> v108(constB167)),
% 15.51/10.77 inference(unit_resolution,[status(thm)],[20752, 20714, 556])).
% 15.51/10.77 tff(20754,plain,
% 15.51/10.77 ((~![VarCurr: $i] : (v108(VarCurr) <=> (v111(VarCurr) | v112(VarCurr)))) | (v108(constB167) <=> (v111(constB167) | v112(constB167)))),
% 15.51/10.77 inference(quant_inst,[status(thm)],[])).
% 15.51/10.77 tff(20755,plain,
% 15.51/10.77 (v108(constB167) <=> (v111(constB167) | v112(constB167))),
% 15.51/10.77 inference(unit_resolution,[status(thm)],[20754, 567])).
% 15.51/10.77 tff(20756,plain,
% 15.51/10.77 ((~![VarCurr: $i] : (v112(VarCurr) <=> (~((~v113(VarCurr)) | (~v126(VarCurr)))))) | (v112(constB167) <=> (~((~v113(constB167)) | (~v126(constB167)))))),
% 15.51/10.77 inference(quant_inst,[status(thm)],[])).
% 15.51/10.77 tff(20757,plain,
% 15.51/10.77 (v112(constB167) <=> (~((~v113(constB167)) | (~v126(constB167))))),
% 15.51/10.77 inference(unit_resolution,[status(thm)],[20756, 579])).
% 15.51/10.77 tff(20758,plain,
% 15.51/10.77 ((~![VarCurr: $i] : (v113(VarCurr) <=> (v114(VarCurr) | v125(VarCurr)))) | (v113(constB167) <=> (v114(constB167) | v125(constB167)))),
% 15.51/10.77 inference(quant_inst,[status(thm)],[])).
% 15.51/10.77 tff(20759,plain,
% 15.51/10.77 (v113(constB167) <=> (v114(constB167) | v125(constB167))),
% 15.51/10.77 inference(unit_resolution,[status(thm)],[20758, 588])).
% 15.51/10.77 tff(20760,plain,
% 15.51/10.77 ((~![VarCurr: $i] : (v114(VarCurr) <=> (v115(VarCurr) | v124(VarCurr)))) | (v114(constB167) <=> (v115(constB167) | v124(constB167)))),
% 15.51/10.77 inference(quant_inst,[status(thm)],[])).
% 15.51/10.77 tff(20761,plain,
% 15.51/10.77 (v114(constB167) <=> (v115(constB167) | v124(constB167))),
% 15.51/10.77 inference(unit_resolution,[status(thm)],[20760, 597])).
% 15.51/10.77 tff(20762,plain,
% 15.51/10.77 ((~![VarCurr: $i] : (v115(VarCurr) <=> (v116(VarCurr) | v123(VarCurr)))) | (v115(constB167) <=> (v116(constB167) | v123(constB167)))),
% 15.51/10.77 inference(quant_inst,[status(thm)],[])).
% 15.51/10.77 tff(20763,plain,
% 15.51/10.77 (v115(constB167) <=> (v116(constB167) | v123(constB167))),
% 15.51/10.78 inference(unit_resolution,[status(thm)],[20762, 606])).
% 15.51/10.78 tff(20764,plain,
% 15.51/10.78 ((~![VarCurr: $i] : (v116(VarCurr) <=> (v117(VarCurr) | v122(VarCurr)))) | (v116(constB167) <=> (v117(constB167) | v122(constB167)))),
% 15.51/10.78 inference(quant_inst,[status(thm)],[])).
% 15.51/10.78 tff(20765,plain,
% 15.51/10.78 (v116(constB167) <=> (v117(constB167) | v122(constB167))),
% 15.51/10.78 inference(unit_resolution,[status(thm)],[20764, 719])).
% 15.51/10.78 tff(20766,plain,
% 15.51/10.78 ((~![VarCurr: $i] : (v117(VarCurr) <=> (v118(VarCurr) | v121(VarCurr)))) | (v117(constB167) <=> (v118(constB167) | v121(constB167)))),
% 15.51/10.78 inference(quant_inst,[status(thm)],[])).
% 15.51/10.78 tff(20767,plain,
% 15.51/10.78 (v117(constB167) <=> (v118(constB167) | v121(constB167))),
% 15.51/10.78 inference(unit_resolution,[status(thm)],[20766, 834])).
% 15.51/10.78 tff(20768,plain,
% 15.51/10.78 ((~![VarCurr: $i] : (v118(VarCurr) <=> (v119(VarCurr) | v120(VarCurr)))) | (v118(constB167) <=> (v119(constB167) | v120(constB167)))),
% 15.51/10.78 inference(quant_inst,[status(thm)],[])).
% 15.51/10.78 tff(20769,plain,
% 15.51/10.78 (v118(constB167) <=> (v119(constB167) | v120(constB167))),
% 15.51/10.78 inference(unit_resolution,[status(thm)],[20768, 951])).
% 15.51/10.78 tff(20770,plain,
% 15.51/10.78 (((~![VarCurr: $i] : (v120(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)))))) | (v120(constB167) <=> (~(v90(constB167, bitIndex2) | v90(constB167, bitIndex1) | (~v90(constB167, bitIndex0)))))) <=> ((~![VarCurr: $i] : (v120(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)))))) | (v120(constB167) <=> (~(v90(constB167, bitIndex2) | v90(constB167, bitIndex1) | (~v90(constB167, bitIndex0))))))),
% 15.51/10.78 inference(rewrite,[status(thm)],[])).
% 15.51/10.78 tff(20771,plain,
% 15.51/10.78 ((v120(constB167) <=> (~(v90(constB167, bitIndex1) | v90(constB167, bitIndex2) | (~v90(constB167, bitIndex0))))) <=> (v120(constB167) <=> (~(v90(constB167, bitIndex2) | v90(constB167, bitIndex1) | (~v90(constB167, bitIndex0)))))),
% 15.51/10.78 inference(rewrite,[status(thm)],[])).
% 15.51/10.78 tff(20772,plain,
% 15.51/10.78 (((~![VarCurr: $i] : (v120(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)))))) | (v120(constB167) <=> (~(v90(constB167, bitIndex1) | v90(constB167, bitIndex2) | (~v90(constB167, bitIndex0)))))) <=> ((~![VarCurr: $i] : (v120(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)))))) | (v120(constB167) <=> (~(v90(constB167, bitIndex2) | v90(constB167, bitIndex1) | (~v90(constB167, bitIndex0))))))),
% 15.51/10.78 inference(monotonicity,[status(thm)],[20771])).
% 15.51/10.78 tff(20773,plain,
% 15.51/10.78 (((~![VarCurr: $i] : (v120(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)))))) | (v120(constB167) <=> (~(v90(constB167, bitIndex1) | v90(constB167, bitIndex2) | (~v90(constB167, bitIndex0)))))) <=> ((~![VarCurr: $i] : (v120(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)))))) | (v120(constB167) <=> (~(v90(constB167, bitIndex2) | v90(constB167, bitIndex1) | (~v90(constB167, bitIndex0))))))),
% 15.51/10.78 inference(transitivity,[status(thm)],[20772, 20770])).
% 15.51/10.78 tff(20774,plain,
% 15.51/10.78 ((~![VarCurr: $i] : (v120(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)))))) | (v120(constB167) <=> (~(v90(constB167, bitIndex1) | v90(constB167, bitIndex2) | (~v90(constB167, bitIndex0)))))),
% 15.51/10.78 inference(quant_inst,[status(thm)],[])).
% 15.51/10.78 tff(20775,plain,
% 15.51/10.78 ((~![VarCurr: $i] : (v120(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)))))) | (v120(constB167) <=> (~(v90(constB167, bitIndex2) | v90(constB167, bitIndex1) | (~v90(constB167, bitIndex0)))))),
% 15.51/10.78 inference(modus_ponens,[status(thm)],[20774, 20773])).
% 15.51/10.78 tff(20776,plain,
% 15.51/10.78 (v120(constB167) <=> (~(v90(constB167, bitIndex2) | v90(constB167, bitIndex1) | (~v90(constB167, bitIndex0))))),
% 15.51/10.78 inference(unit_resolution,[status(thm)],[20775, 966])).
% 15.51/10.78 tff(20777,plain,
% 15.51/10.78 (nextState(constB166, constB167) <=> nextState(constB166, constB167)),
% 15.51/10.78 inference(rewrite,[status(thm)],[])).
% 15.51/10.78 tff(20778,axiom,(nextState(constB166, constB167)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_166')).
% 15.51/10.78 tff(20779,plain,
% 15.51/10.78 (nextState(constB166, constB167)),
% 15.51/10.78 inference(modus_ponens,[status(thm)],[20778, 20777])).
% 15.51/10.78 tff(20780,plain,
% 15.51/10.78 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB166, constB167)) | (v100(constB167) <=> (~((~v101(constB167)) | (~v110(constB167))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB166, constB167)) | (v100(constB167) <=> (~((~v101(constB167)) | (~v110(constB167))))))),
% 15.51/10.78 inference(rewrite,[status(thm)],[])).
% 15.51/10.78 tff(20781,plain,
% 15.51/10.78 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB166, constB167)) | (v100(constB167) <=> (~((~v101(constB167)) | (~v110(constB167))))))),
% 15.51/10.78 inference(quant_inst,[status(thm)],[])).
% 15.51/10.78 tff(20782,plain,
% 15.51/10.78 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB166, constB167)) | (v100(constB167) <=> (~((~v101(constB167)) | (~v110(constB167)))))),
% 15.51/10.78 inference(modus_ponens,[status(thm)],[20781, 20780])).
% 15.51/10.78 tff(20783,plain,
% 15.51/10.78 (v100(constB167) <=> (~((~v101(constB167)) | (~v110(constB167))))),
% 15.51/10.78 inference(unit_resolution,[status(thm)],[20782, 20779, 430])).
% 15.51/10.78 tff(20784,plain,
% 15.51/10.78 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB166, constB167)) | (v101(constB167) <=> (~((~v1(constB167)) | (~v102(constB167))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB166, constB167)) | (v101(constB167) <=> (~((~v1(constB167)) | (~v102(constB167))))))),
% 15.51/10.78 inference(rewrite,[status(thm)],[])).
% 15.51/10.78 tff(20785,plain,
% 15.51/10.78 (((~nextState(constB166, constB167)) | (v101(constB167) <=> (~((~v102(constB167)) | (~v1(constB167)))))) <=> ((~nextState(constB166, constB167)) | (v101(constB167) <=> (~((~v1(constB167)) | (~v102(constB167))))))),
% 15.51/10.78 inference(rewrite,[status(thm)],[])).
% 15.51/10.78 tff(20786,plain,
% 15.51/10.78 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB166, constB167)) | (v101(constB167) <=> (~((~v102(constB167)) | (~v1(constB167))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB166, constB167)) | (v101(constB167) <=> (~((~v1(constB167)) | (~v102(constB167)))))))),
% 15.51/10.78 inference(monotonicity,[status(thm)],[20785])).
% 15.51/10.78 tff(20787,plain,
% 15.51/10.78 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB166, constB167)) | (v101(constB167) <=> (~((~v102(constB167)) | (~v1(constB167))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB166, constB167)) | (v101(constB167) <=> (~((~v1(constB167)) | (~v102(constB167))))))),
% 15.51/10.78 inference(transitivity,[status(thm)],[20786, 20784])).
% 15.51/10.78 tff(20788,plain,
% 15.51/10.78 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB166, constB167)) | (v101(constB167) <=> (~((~v102(constB167)) | (~v1(constB167))))))),
% 15.51/10.78 inference(quant_inst,[status(thm)],[])).
% 15.51/10.78 tff(20789,plain,
% 15.51/10.78 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB166, constB167)) | (v101(constB167) <=> (~((~v1(constB167)) | (~v102(constB167)))))),
% 15.51/10.78 inference(modus_ponens,[status(thm)],[20788, 20787])).
% 15.51/10.78 tff(20790,plain,
% 15.51/10.78 (v101(constB167) <=> (~((~v1(constB167)) | (~v102(constB167))))),
% 15.58/10.78 inference(unit_resolution,[status(thm)],[20789, 20779, 450])).
% 15.58/10.78 tff(20791,plain,
% 15.58/10.78 (((~v1(constB167)) | (~v102(constB167))) | v1(constB167)),
% 15.58/10.78 inference(tautology,[status(thm)],[])).
% 15.58/10.78 tff(20792,plain,
% 15.58/10.78 ((~v1(constB167)) | (~v102(constB167))),
% 15.58/10.78 inference(unit_resolution,[status(thm)],[20791, 20736])).
% 15.58/10.78 tff(20793,plain,
% 15.58/10.78 ((~(v101(constB167) <=> (~((~v1(constB167)) | (~v102(constB167)))))) | (~v101(constB167)) | (~((~v1(constB167)) | (~v102(constB167))))),
% 15.58/10.78 inference(tautology,[status(thm)],[])).
% 15.58/10.78 tff(20794,plain,
% 15.58/10.78 ((~(v101(constB167) <=> (~((~v1(constB167)) | (~v102(constB167)))))) | (~v101(constB167))),
% 15.58/10.78 inference(unit_resolution,[status(thm)],[20793, 20792])).
% 15.58/10.78 tff(20795,plain,
% 15.58/10.78 (~v101(constB167)),
% 15.58/10.78 inference(unit_resolution,[status(thm)],[20794, 20790])).
% 15.58/10.78 tff(20796,plain,
% 15.58/10.78 (((~v101(constB167)) | (~v110(constB167))) | v101(constB167)),
% 15.58/10.78 inference(tautology,[status(thm)],[])).
% 15.58/10.78 tff(20797,plain,
% 15.58/10.78 ((~v101(constB167)) | (~v110(constB167))),
% 15.58/10.78 inference(unit_resolution,[status(thm)],[20796, 20795])).
% 15.58/10.78 tff(20798,plain,
% 15.58/10.78 ((~(v100(constB167) <=> (~((~v101(constB167)) | (~v110(constB167)))))) | (~v100(constB167)) | (~((~v101(constB167)) | (~v110(constB167))))),
% 15.58/10.78 inference(tautology,[status(thm)],[])).
% 15.58/10.78 tff(20799,plain,
% 15.58/10.78 (~v100(constB167)),
% 15.58/10.78 inference(unit_resolution,[status(thm)],[20798, 20797, 20783])).
% 15.58/10.78 tff(20800,plain,
% 15.58/10.78 (((~![VarCurr: $i, VarNext: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v90(VarCurr, B))))) | (v100(constB167) | (~nextState(constB166, constB167)) | ![B: $i] : ((~less_3(B)) | (v90(constB167, B) <=> v90(constB166, B))))) <=> ((~![VarCurr: $i, VarNext: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v90(VarCurr, B))))) | v100(constB167) | (~nextState(constB166, constB167)) | ![B: $i] : ((~less_3(B)) | (v90(constB167, B) <=> v90(constB166, B))))),
% 15.58/10.78 inference(rewrite,[status(thm)],[])).
% 15.58/10.78 tff(20801,plain,
% 15.58/10.78 ((~![VarCurr: $i, VarNext: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v90(VarCurr, B))))) | (v100(constB167) | (~nextState(constB166, constB167)) | ![B: $i] : ((~less_3(B)) | (v90(constB167, B) <=> v90(constB166, B))))),
% 15.58/10.78 inference(quant_inst,[status(thm)],[])).
% 15.58/10.78 tff(20802,plain,
% 15.58/10.78 ((~![VarCurr: $i, VarNext: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v90(VarCurr, B))))) | v100(constB167) | (~nextState(constB166, constB167)) | ![B: $i] : ((~less_3(B)) | (v90(constB167, B) <=> v90(constB166, B)))),
% 15.58/10.78 inference(modus_ponens,[status(thm)],[20801, 20800])).
% 15.58/10.78 tff(20803,plain,
% 15.58/10.78 (v100(constB167) | ![B: $i] : ((~less_3(B)) | (v90(constB167, B) <=> v90(constB166, B)))),
% 15.58/10.78 inference(unit_resolution,[status(thm)],[20802, 20779, 479])).
% 15.58/10.78 tff(20804,plain,
% 15.58/10.78 (![B: $i] : ((~less_3(B)) | (v90(constB167, B) <=> v90(constB166, B)))),
% 15.58/10.78 inference(unit_resolution,[status(thm)],[20803, 20799])).
% 15.58/10.78 tff(20805,plain,
% 15.58/10.78 (((~![B: $i] : ((~less_3(B)) | (v90(constB167, B) <=> v90(constB166, B)))) | ((~less_3(bitIndex2)) | (v90(constB167, bitIndex2) <=> v90(constB166, bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v90(constB167, B) <=> v90(constB166, B)))) | (~less_3(bitIndex2)) | (v90(constB167, bitIndex2) <=> v90(constB166, bitIndex2)))),
% 15.58/10.78 inference(rewrite,[status(thm)],[])).
% 15.58/10.78 tff(20806,plain,
% 15.58/10.78 ((~![B: $i] : ((~less_3(B)) | (v90(constB167, B) <=> v90(constB166, B)))) | ((~less_3(bitIndex2)) | (v90(constB167, bitIndex2) <=> v90(constB166, bitIndex2)))),
% 15.58/10.78 inference(quant_inst,[status(thm)],[])).
% 15.58/10.78 tff(20807,plain,
% 15.58/10.78 ((~![B: $i] : ((~less_3(B)) | (v90(constB167, B) <=> v90(constB166, B)))) | (~less_3(bitIndex2)) | (v90(constB167, bitIndex2) <=> v90(constB166, bitIndex2))),
% 15.58/10.78 inference(modus_ponens,[status(thm)],[20806, 20805])).
% 15.58/10.78 tff(20808,plain,
% 15.58/10.78 (v90(constB167, bitIndex2) <=> v90(constB166, bitIndex2)),
% 15.58/10.78 inference(unit_resolution,[status(thm)],[20807, 413, 20804])).
% 15.58/10.78 tff(20809,plain,
% 15.58/10.78 (nextState(constB165, constB166) <=> nextState(constB165, constB166)),
% 15.58/10.78 inference(rewrite,[status(thm)],[])).
% 15.58/10.78 tff(20810,axiom,(nextState(constB165, constB166)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_165')).
% 15.58/10.78 tff(20811,plain,
% 15.58/10.78 (nextState(constB165, constB166)),
% 15.58/10.78 inference(modus_ponens,[status(thm)],[20810, 20809])).
% 15.58/10.78 tff(20812,plain,
% 15.58/10.78 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB165, constB166)) | (v100(constB166) <=> (~((~v101(constB166)) | (~v110(constB166))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB165, constB166)) | (v100(constB166) <=> (~((~v101(constB166)) | (~v110(constB166))))))),
% 15.58/10.78 inference(rewrite,[status(thm)],[])).
% 15.58/10.78 tff(20813,plain,
% 15.58/10.78 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB165, constB166)) | (v100(constB166) <=> (~((~v101(constB166)) | (~v110(constB166))))))),
% 15.58/10.78 inference(quant_inst,[status(thm)],[])).
% 15.58/10.78 tff(20814,plain,
% 15.58/10.78 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB165, constB166)) | (v100(constB166) <=> (~((~v101(constB166)) | (~v110(constB166)))))),
% 15.58/10.78 inference(modus_ponens,[status(thm)],[20813, 20812])).
% 15.58/10.78 tff(20815,plain,
% 15.58/10.78 (v100(constB166) <=> (~((~v101(constB166)) | (~v110(constB166))))),
% 15.58/10.78 inference(unit_resolution,[status(thm)],[20814, 20811, 430])).
% 15.58/10.78 tff(20816,plain,
% 15.58/10.78 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB165, constB166)) | (v101(constB166) <=> (~((~v1(constB166)) | (~v102(constB166))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB165, constB166)) | (v101(constB166) <=> (~((~v1(constB166)) | (~v102(constB166))))))),
% 15.58/10.78 inference(rewrite,[status(thm)],[])).
% 15.58/10.78 tff(20817,plain,
% 15.58/10.78 (((~nextState(constB165, constB166)) | (v101(constB166) <=> (~((~v102(constB166)) | (~v1(constB166)))))) <=> ((~nextState(constB165, constB166)) | (v101(constB166) <=> (~((~v1(constB166)) | (~v102(constB166))))))),
% 15.58/10.78 inference(rewrite,[status(thm)],[])).
% 15.58/10.78 tff(20818,plain,
% 15.58/10.78 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB165, constB166)) | (v101(constB166) <=> (~((~v102(constB166)) | (~v1(constB166))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB165, constB166)) | (v101(constB166) <=> (~((~v1(constB166)) | (~v102(constB166)))))))),
% 15.58/10.78 inference(monotonicity,[status(thm)],[20817])).
% 15.58/10.78 tff(20819,plain,
% 15.58/10.78 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB165, constB166)) | (v101(constB166) <=> (~((~v102(constB166)) | (~v1(constB166))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB165, constB166)) | (v101(constB166) <=> (~((~v1(constB166)) | (~v102(constB166))))))),
% 15.58/10.78 inference(transitivity,[status(thm)],[20818, 20816])).
% 15.58/10.78 tff(20820,plain,
% 15.58/10.78 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB165, constB166)) | (v101(constB166) <=> (~((~v102(constB166)) | (~v1(constB166))))))),
% 15.58/10.78 inference(quant_inst,[status(thm)],[])).
% 15.58/10.78 tff(20821,plain,
% 15.58/10.78 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB165, constB166)) | (v101(constB166) <=> (~((~v1(constB166)) | (~v102(constB166)))))),
% 15.58/10.78 inference(modus_ponens,[status(thm)],[20820, 20819])).
% 15.58/10.78 tff(20822,plain,
% 15.58/10.78 (v101(constB166) <=> (~((~v1(constB166)) | (~v102(constB166))))),
% 15.58/10.78 inference(unit_resolution,[status(thm)],[20821, 20811, 450])).
% 15.58/10.78 tff(20823,plain,
% 15.58/10.78 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | ((~nextState(constB165, constB166)) | ((~v102(constB166)) <=> v104(constB166)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | (~nextState(constB165, constB166)) | ((~v102(constB166)) <=> v104(constB166)))),
% 15.58/10.78 inference(rewrite,[status(thm)],[])).
% 15.58/10.78 tff(20824,plain,
% 15.58/10.78 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | ((~nextState(constB165, constB166)) | ((~v102(constB166)) <=> v104(constB166)))),
% 15.58/10.78 inference(quant_inst,[status(thm)],[])).
% 15.58/10.78 tff(20825,plain,
% 15.58/10.78 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | (~nextState(constB165, constB166)) | ((~v102(constB166)) <=> v104(constB166))),
% 15.58/10.78 inference(modus_ponens,[status(thm)],[20824, 20823])).
% 15.58/10.78 tff(20826,plain,
% 15.58/10.78 ((~v102(constB166)) <=> v104(constB166)),
% 15.58/10.78 inference(unit_resolution,[status(thm)],[20825, 20811, 512])).
% 15.58/10.78 tff(20827,plain,
% 15.58/10.78 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB165, constB166)) | (v104(constB166) <=> v1(constB165)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | (~nextState(constB165, constB166)) | (v104(constB166) <=> v1(constB165)))),
% 15.58/10.78 inference(rewrite,[status(thm)],[])).
% 15.58/10.78 tff(20828,plain,
% 15.58/10.78 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB165, constB166)) | (v104(constB166) <=> v1(constB165)))),
% 15.58/10.78 inference(quant_inst,[status(thm)],[])).
% 15.58/10.78 tff(20829,plain,
% 15.58/10.78 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | (~nextState(constB165, constB166)) | (v104(constB166) <=> v1(constB165))),
% 15.58/10.78 inference(modus_ponens,[status(thm)],[20828, 20827])).
% 15.58/10.78 tff(20830,plain,
% 15.58/10.78 (v104(constB166) <=> v1(constB165)),
% 15.58/10.78 inference(unit_resolution,[status(thm)],[20829, 20811, 526])).
% 15.58/10.78 tff(20831,plain,
% 15.58/10.78 ((~v1(constB165)) <=> (~v1(constB165))),
% 15.58/10.78 inference(rewrite,[status(thm)],[])).
% 15.58/10.78 tff(20832,axiom,(~v1(constB165)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_165')).
% 15.58/10.78 tff(20833,plain,
% 15.58/10.78 (~v1(constB165)),
% 15.58/10.78 inference(modus_ponens,[status(thm)],[20832, 20831])).
% 15.58/10.78 tff(20834,plain,
% 15.58/10.78 ((~(v104(constB166) <=> v1(constB165))) | (~v104(constB166)) | v1(constB165)),
% 15.58/10.78 inference(tautology,[status(thm)],[])).
% 15.58/10.78 tff(20835,plain,
% 15.58/10.78 ((~(v104(constB166) <=> v1(constB165))) | (~v104(constB166))),
% 15.58/10.78 inference(unit_resolution,[status(thm)],[20834, 20833])).
% 15.58/10.78 tff(20836,plain,
% 15.58/10.78 (~v104(constB166)),
% 15.58/10.78 inference(unit_resolution,[status(thm)],[20835, 20830])).
% 15.58/10.78 tff(20837,plain,
% 15.58/10.78 ((~((~v102(constB166)) <=> v104(constB166))) | v102(constB166) | v104(constB166)),
% 15.58/10.78 inference(tautology,[status(thm)],[])).
% 15.58/10.78 tff(20838,plain,
% 15.58/10.78 (v102(constB166)),
% 15.58/10.78 inference(unit_resolution,[status(thm)],[20837, 20836, 20826])).
% 15.58/10.78 tff(20839,plain,
% 15.58/10.78 (v1(constB166) <=> v1(constB166)),
% 15.58/10.78 inference(rewrite,[status(thm)],[])).
% 15.58/10.78 tff(20840,axiom,(v1(constB166)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_166')).
% 15.58/10.78 tff(20841,plain,
% 15.58/10.78 (v1(constB166)),
% 15.58/10.78 inference(modus_ponens,[status(thm)],[20840, 20839])).
% 15.58/10.78 tff(20842,plain,
% 15.58/10.78 ((~((~v1(constB166)) | (~v102(constB166)))) | (~v1(constB166)) | (~v102(constB166))),
% 15.58/10.78 inference(tautology,[status(thm)],[])).
% 15.58/10.78 tff(20843,plain,
% 15.58/10.78 ((~((~v1(constB166)) | (~v102(constB166)))) | (~v102(constB166))),
% 15.58/10.78 inference(unit_resolution,[status(thm)],[20842, 20841])).
% 15.58/10.78 tff(20844,plain,
% 15.58/10.78 (~((~v1(constB166)) | (~v102(constB166)))),
% 15.58/10.78 inference(unit_resolution,[status(thm)],[20843, 20838])).
% 15.58/10.79 tff(20845,plain,
% 15.58/10.79 ((~(v101(constB166) <=> (~((~v1(constB166)) | (~v102(constB166)))))) | v101(constB166) | ((~v1(constB166)) | (~v102(constB166)))),
% 15.58/10.79 inference(tautology,[status(thm)],[])).
% 15.58/10.79 tff(20846,plain,
% 15.58/10.79 (v101(constB166)),
% 15.58/10.79 inference(unit_resolution,[status(thm)],[20845, 20844, 20822])).
% 15.58/10.79 tff(20847,plain,
% 15.58/10.79 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | ((~nextState(constB165, constB166)) | (v110(constB166) <=> v108(constB165)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | (~nextState(constB165, constB166)) | (v110(constB166) <=> v108(constB165)))),
% 15.58/10.79 inference(rewrite,[status(thm)],[])).
% 15.58/10.79 tff(20848,plain,
% 15.58/10.79 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | ((~nextState(constB165, constB166)) | (v110(constB166) <=> v108(constB165)))),
% 15.58/10.79 inference(quant_inst,[status(thm)],[])).
% 15.58/10.79 tff(20849,plain,
% 15.58/10.79 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | (~nextState(constB165, constB166)) | (v110(constB166) <=> v108(constB165))),
% 15.58/10.79 inference(modus_ponens,[status(thm)],[20848, 20847])).
% 15.58/10.79 tff(20850,plain,
% 15.58/10.79 (v110(constB166) <=> v108(constB165)),
% 15.58/10.79 inference(unit_resolution,[status(thm)],[20849, 20811, 556])).
% 15.58/10.79 tff(20851,plain,
% 15.58/10.79 ((~![VarCurr: $i] : (v108(VarCurr) <=> (v111(VarCurr) | v112(VarCurr)))) | (v108(constB165) <=> (v111(constB165) | v112(constB165)))),
% 15.58/10.79 inference(quant_inst,[status(thm)],[])).
% 15.58/10.79 tff(20852,plain,
% 15.58/10.79 (v108(constB165) <=> (v111(constB165) | v112(constB165))),
% 15.58/10.79 inference(unit_resolution,[status(thm)],[20851, 567])).
% 15.58/10.79 tff(20853,plain,
% 15.58/10.79 ((~![VarCurr: $i] : (v112(VarCurr) <=> (~((~v113(VarCurr)) | (~v126(VarCurr)))))) | (v112(constB165) <=> (~((~v113(constB165)) | (~v126(constB165)))))),
% 15.58/10.79 inference(quant_inst,[status(thm)],[])).
% 15.58/10.79 tff(20854,plain,
% 15.58/10.79 (v112(constB165) <=> (~((~v113(constB165)) | (~v126(constB165))))),
% 15.58/10.79 inference(unit_resolution,[status(thm)],[20853, 579])).
% 15.58/10.79 tff(20855,plain,
% 15.58/10.79 ((~![VarCurr: $i] : (v113(VarCurr) <=> (v114(VarCurr) | v125(VarCurr)))) | (v113(constB165) <=> (v114(constB165) | v125(constB165)))),
% 15.58/10.79 inference(quant_inst,[status(thm)],[])).
% 15.58/10.79 tff(20856,plain,
% 15.58/10.79 (v113(constB165) <=> (v114(constB165) | v125(constB165))),
% 15.58/10.79 inference(unit_resolution,[status(thm)],[20855, 588])).
% 15.58/10.79 tff(20857,plain,
% 15.58/10.79 (((~![VarCurr: $i] : (v125(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2)))))) | (v125(constB165) <=> (~((~v90(constB165, bitIndex2)) | (~v90(constB165, bitIndex1)) | v90(constB165, bitIndex0))))) <=> ((~![VarCurr: $i] : (v125(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2)))))) | (v125(constB165) <=> (~((~v90(constB165, bitIndex2)) | (~v90(constB165, bitIndex1)) | v90(constB165, bitIndex0)))))),
% 15.58/10.79 inference(rewrite,[status(thm)],[])).
% 15.58/10.79 tff(20858,plain,
% 15.58/10.79 ((v125(constB165) <=> (~(v90(constB165, bitIndex0) | (~v90(constB165, bitIndex1)) | (~v90(constB165, bitIndex2))))) <=> (v125(constB165) <=> (~((~v90(constB165, bitIndex2)) | (~v90(constB165, bitIndex1)) | v90(constB165, bitIndex0))))),
% 15.58/10.79 inference(rewrite,[status(thm)],[])).
% 15.58/10.79 tff(20859,plain,
% 15.58/10.79 (((~![VarCurr: $i] : (v125(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2)))))) | (v125(constB165) <=> (~(v90(constB165, bitIndex0) | (~v90(constB165, bitIndex1)) | (~v90(constB165, bitIndex2)))))) <=> ((~![VarCurr: $i] : (v125(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2)))))) | (v125(constB165) <=> (~((~v90(constB165, bitIndex2)) | (~v90(constB165, bitIndex1)) | v90(constB165, bitIndex0)))))),
% 15.58/10.79 inference(monotonicity,[status(thm)],[20858])).
% 15.58/10.79 tff(20860,plain,
% 15.58/10.79 (((~![VarCurr: $i] : (v125(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2)))))) | (v125(constB165) <=> (~(v90(constB165, bitIndex0) | (~v90(constB165, bitIndex1)) | (~v90(constB165, bitIndex2)))))) <=> ((~![VarCurr: $i] : (v125(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2)))))) | (v125(constB165) <=> (~((~v90(constB165, bitIndex2)) | (~v90(constB165, bitIndex1)) | v90(constB165, bitIndex0)))))),
% 15.58/10.79 inference(transitivity,[status(thm)],[20859, 20857])).
% 15.58/10.79 tff(20861,plain,
% 15.58/10.79 ((~![VarCurr: $i] : (v125(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2)))))) | (v125(constB165) <=> (~(v90(constB165, bitIndex0) | (~v90(constB165, bitIndex1)) | (~v90(constB165, bitIndex2)))))),
% 15.58/10.79 inference(quant_inst,[status(thm)],[])).
% 15.58/10.79 tff(20862,plain,
% 15.58/10.79 ((~![VarCurr: $i] : (v125(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2)))))) | (v125(constB165) <=> (~((~v90(constB165, bitIndex2)) | (~v90(constB165, bitIndex1)) | v90(constB165, bitIndex0))))),
% 15.58/10.79 inference(modus_ponens,[status(thm)],[20861, 20860])).
% 15.58/10.79 tff(20863,plain,
% 15.58/10.79 (v125(constB165) <=> (~((~v90(constB165, bitIndex2)) | (~v90(constB165, bitIndex1)) | v90(constB165, bitIndex0)))),
% 15.58/10.79 inference(unit_resolution,[status(thm)],[20862, 1066])).
% 15.58/10.79 tff(20864,plain,
% 15.58/10.79 (nextState(constB164, constB165) <=> nextState(constB164, constB165)),
% 15.58/10.79 inference(rewrite,[status(thm)],[])).
% 15.58/10.79 tff(20865,axiom,(nextState(constB164, constB165)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_164')).
% 15.58/10.79 tff(20866,plain,
% 15.58/10.79 (nextState(constB164, constB165)),
% 15.58/10.79 inference(modus_ponens,[status(thm)],[20865, 20864])).
% 15.58/10.79 tff(20867,plain,
% 15.58/10.79 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB164, constB165)) | (v100(constB165) <=> (~((~v101(constB165)) | (~v110(constB165))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB164, constB165)) | (v100(constB165) <=> (~((~v101(constB165)) | (~v110(constB165))))))),
% 15.58/10.79 inference(rewrite,[status(thm)],[])).
% 15.58/10.79 tff(20868,plain,
% 15.58/10.79 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB164, constB165)) | (v100(constB165) <=> (~((~v101(constB165)) | (~v110(constB165))))))),
% 15.58/10.79 inference(quant_inst,[status(thm)],[])).
% 15.58/10.79 tff(20869,plain,
% 15.58/10.79 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB164, constB165)) | (v100(constB165) <=> (~((~v101(constB165)) | (~v110(constB165)))))),
% 15.58/10.79 inference(modus_ponens,[status(thm)],[20868, 20867])).
% 15.58/10.79 tff(20870,plain,
% 15.58/10.79 (v100(constB165) <=> (~((~v101(constB165)) | (~v110(constB165))))),
% 15.58/10.79 inference(unit_resolution,[status(thm)],[20869, 20866, 430])).
% 15.58/10.79 tff(20871,plain,
% 15.58/10.79 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB164, constB165)) | (v101(constB165) <=> (~((~v1(constB165)) | (~v102(constB165))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB164, constB165)) | (v101(constB165) <=> (~((~v1(constB165)) | (~v102(constB165))))))),
% 15.58/10.79 inference(rewrite,[status(thm)],[])).
% 15.58/10.79 tff(20872,plain,
% 15.58/10.79 (((~nextState(constB164, constB165)) | (v101(constB165) <=> (~((~v102(constB165)) | (~v1(constB165)))))) <=> ((~nextState(constB164, constB165)) | (v101(constB165) <=> (~((~v1(constB165)) | (~v102(constB165))))))),
% 15.58/10.79 inference(rewrite,[status(thm)],[])).
% 15.58/10.79 tff(20873,plain,
% 15.58/10.79 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB164, constB165)) | (v101(constB165) <=> (~((~v102(constB165)) | (~v1(constB165))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB164, constB165)) | (v101(constB165) <=> (~((~v1(constB165)) | (~v102(constB165)))))))),
% 15.58/10.79 inference(monotonicity,[status(thm)],[20872])).
% 15.58/10.79 tff(20874,plain,
% 15.58/10.79 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB164, constB165)) | (v101(constB165) <=> (~((~v102(constB165)) | (~v1(constB165))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB164, constB165)) | (v101(constB165) <=> (~((~v1(constB165)) | (~v102(constB165))))))),
% 15.58/10.79 inference(transitivity,[status(thm)],[20873, 20871])).
% 15.58/10.79 tff(20875,plain,
% 15.58/10.79 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB164, constB165)) | (v101(constB165) <=> (~((~v102(constB165)) | (~v1(constB165))))))),
% 15.58/10.79 inference(quant_inst,[status(thm)],[])).
% 15.58/10.79 tff(20876,plain,
% 15.58/10.79 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB164, constB165)) | (v101(constB165) <=> (~((~v1(constB165)) | (~v102(constB165)))))),
% 15.58/10.79 inference(modus_ponens,[status(thm)],[20875, 20874])).
% 15.58/10.79 tff(20877,plain,
% 15.58/10.79 (v101(constB165) <=> (~((~v1(constB165)) | (~v102(constB165))))),
% 15.58/10.79 inference(unit_resolution,[status(thm)],[20876, 20866, 450])).
% 15.58/10.79 tff(20878,plain,
% 15.58/10.79 (((~v1(constB165)) | (~v102(constB165))) | v1(constB165)),
% 15.58/10.79 inference(tautology,[status(thm)],[])).
% 15.58/10.79 tff(20879,plain,
% 15.58/10.79 ((~v1(constB165)) | (~v102(constB165))),
% 15.58/10.79 inference(unit_resolution,[status(thm)],[20878, 20833])).
% 15.58/10.79 tff(20880,plain,
% 15.58/10.79 ((~(v101(constB165) <=> (~((~v1(constB165)) | (~v102(constB165)))))) | (~v101(constB165)) | (~((~v1(constB165)) | (~v102(constB165))))),
% 15.58/10.79 inference(tautology,[status(thm)],[])).
% 15.58/10.79 tff(20881,plain,
% 15.58/10.79 ((~(v101(constB165) <=> (~((~v1(constB165)) | (~v102(constB165)))))) | (~v101(constB165))),
% 15.58/10.79 inference(unit_resolution,[status(thm)],[20880, 20879])).
% 15.58/10.79 tff(20882,plain,
% 15.58/10.79 (~v101(constB165)),
% 15.58/10.79 inference(unit_resolution,[status(thm)],[20881, 20877])).
% 15.58/10.79 tff(20883,plain,
% 15.58/10.79 (((~v101(constB165)) | (~v110(constB165))) | v101(constB165)),
% 15.58/10.79 inference(tautology,[status(thm)],[])).
% 15.58/10.79 tff(20884,plain,
% 15.58/10.79 ((~v101(constB165)) | (~v110(constB165))),
% 15.58/10.79 inference(unit_resolution,[status(thm)],[20883, 20882])).
% 15.58/10.79 tff(20885,plain,
% 15.58/10.79 ((~(v100(constB165) <=> (~((~v101(constB165)) | (~v110(constB165)))))) | (~v100(constB165)) | (~((~v101(constB165)) | (~v110(constB165))))),
% 15.58/10.79 inference(tautology,[status(thm)],[])).
% 15.58/10.79 tff(20886,plain,
% 15.58/10.79 (~v100(constB165)),
% 15.58/10.79 inference(unit_resolution,[status(thm)],[20885, 20884, 20870])).
% 15.58/10.79 tff(20887,plain,
% 15.58/10.79 (((~![VarCurr: $i, VarNext: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v90(VarCurr, B))))) | (v100(constB165) | (~nextState(constB164, constB165)) | ![B: $i] : ((~less_3(B)) | (v90(constB165, B) <=> v90(constB164, B))))) <=> ((~![VarCurr: $i, VarNext: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v90(VarCurr, B))))) | v100(constB165) | (~nextState(constB164, constB165)) | ![B: $i] : ((~less_3(B)) | (v90(constB165, B) <=> v90(constB164, B))))),
% 15.58/10.79 inference(rewrite,[status(thm)],[])).
% 15.58/10.79 tff(20888,plain,
% 15.58/10.79 ((~![VarCurr: $i, VarNext: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v90(VarCurr, B))))) | (v100(constB165) | (~nextState(constB164, constB165)) | ![B: $i] : ((~less_3(B)) | (v90(constB165, B) <=> v90(constB164, B))))),
% 15.58/10.79 inference(quant_inst,[status(thm)],[])).
% 15.58/10.79 tff(20889,plain,
% 15.58/10.79 ((~![VarCurr: $i, VarNext: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v90(VarCurr, B))))) | v100(constB165) | (~nextState(constB164, constB165)) | ![B: $i] : ((~less_3(B)) | (v90(constB165, B) <=> v90(constB164, B)))),
% 15.58/10.79 inference(modus_ponens,[status(thm)],[20888, 20887])).
% 15.58/10.80 tff(20890,plain,
% 15.58/10.80 (v100(constB165) | ![B: $i] : ((~less_3(B)) | (v90(constB165, B) <=> v90(constB164, B)))),
% 15.58/10.80 inference(unit_resolution,[status(thm)],[20889, 20866, 479])).
% 15.58/10.80 tff(20891,plain,
% 15.58/10.80 (![B: $i] : ((~less_3(B)) | (v90(constB165, B) <=> v90(constB164, B)))),
% 15.58/10.80 inference(unit_resolution,[status(thm)],[20890, 20886])).
% 15.58/10.80 tff(20892,plain,
% 15.58/10.80 (((~![B: $i] : ((~less_3(B)) | (v90(constB165, B) <=> v90(constB164, B)))) | ((~less_3(bitIndex2)) | (v90(constB165, bitIndex2) <=> v90(constB164, bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v90(constB165, B) <=> v90(constB164, B)))) | (~less_3(bitIndex2)) | (v90(constB165, bitIndex2) <=> v90(constB164, bitIndex2)))),
% 15.58/10.80 inference(rewrite,[status(thm)],[])).
% 15.58/10.80 tff(20893,plain,
% 15.58/10.80 ((~![B: $i] : ((~less_3(B)) | (v90(constB165, B) <=> v90(constB164, B)))) | ((~less_3(bitIndex2)) | (v90(constB165, bitIndex2) <=> v90(constB164, bitIndex2)))),
% 15.58/10.80 inference(quant_inst,[status(thm)],[])).
% 15.58/10.80 tff(20894,plain,
% 15.58/10.80 ((~![B: $i] : ((~less_3(B)) | (v90(constB165, B) <=> v90(constB164, B)))) | (~less_3(bitIndex2)) | (v90(constB165, bitIndex2) <=> v90(constB164, bitIndex2))),
% 15.58/10.80 inference(modus_ponens,[status(thm)],[20893, 20892])).
% 15.58/10.80 tff(20895,plain,
% 15.58/10.80 (v90(constB165, bitIndex2) <=> v90(constB164, bitIndex2)),
% 15.58/10.80 inference(unit_resolution,[status(thm)],[20894, 413, 20891])).
% 15.58/10.80 tff(20896,plain,
% 15.58/10.80 (nextState(constB163, constB164) <=> nextState(constB163, constB164)),
% 15.58/10.80 inference(rewrite,[status(thm)],[])).
% 15.58/10.80 tff(20897,axiom,(nextState(constB163, constB164)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_163')).
% 15.58/10.80 tff(20898,plain,
% 15.58/10.80 (nextState(constB163, constB164)),
% 15.58/10.80 inference(modus_ponens,[status(thm)],[20897, 20896])).
% 15.58/10.80 tff(20899,plain,
% 15.58/10.80 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB163, constB164)) | (v100(constB164) <=> (~((~v101(constB164)) | (~v110(constB164))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB163, constB164)) | (v100(constB164) <=> (~((~v101(constB164)) | (~v110(constB164))))))),
% 15.58/10.80 inference(rewrite,[status(thm)],[])).
% 15.58/10.80 tff(20900,plain,
% 15.58/10.80 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB163, constB164)) | (v100(constB164) <=> (~((~v101(constB164)) | (~v110(constB164))))))),
% 15.58/10.80 inference(quant_inst,[status(thm)],[])).
% 15.58/10.80 tff(20901,plain,
% 15.58/10.80 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB163, constB164)) | (v100(constB164) <=> (~((~v101(constB164)) | (~v110(constB164)))))),
% 15.58/10.80 inference(modus_ponens,[status(thm)],[20900, 20899])).
% 15.58/10.80 tff(20902,plain,
% 15.58/10.80 (v100(constB164) <=> (~((~v101(constB164)) | (~v110(constB164))))),
% 15.58/10.80 inference(unit_resolution,[status(thm)],[20901, 20898, 430])).
% 15.58/10.80 tff(20903,plain,
% 15.58/10.80 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB163, constB164)) | (v101(constB164) <=> (~((~v1(constB164)) | (~v102(constB164))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB163, constB164)) | (v101(constB164) <=> (~((~v1(constB164)) | (~v102(constB164))))))),
% 15.58/10.80 inference(rewrite,[status(thm)],[])).
% 15.58/10.80 tff(20904,plain,
% 15.58/10.80 (((~nextState(constB163, constB164)) | (v101(constB164) <=> (~((~v102(constB164)) | (~v1(constB164)))))) <=> ((~nextState(constB163, constB164)) | (v101(constB164) <=> (~((~v1(constB164)) | (~v102(constB164))))))),
% 15.58/10.80 inference(rewrite,[status(thm)],[])).
% 15.58/10.80 tff(20905,plain,
% 15.58/10.80 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB163, constB164)) | (v101(constB164) <=> (~((~v102(constB164)) | (~v1(constB164))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB163, constB164)) | (v101(constB164) <=> (~((~v1(constB164)) | (~v102(constB164)))))))),
% 15.58/10.80 inference(monotonicity,[status(thm)],[20904])).
% 15.58/10.80 tff(20906,plain,
% 15.58/10.80 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB163, constB164)) | (v101(constB164) <=> (~((~v102(constB164)) | (~v1(constB164))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB163, constB164)) | (v101(constB164) <=> (~((~v1(constB164)) | (~v102(constB164))))))),
% 15.58/10.80 inference(transitivity,[status(thm)],[20905, 20903])).
% 15.58/10.80 tff(20907,plain,
% 15.58/10.80 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB163, constB164)) | (v101(constB164) <=> (~((~v102(constB164)) | (~v1(constB164))))))),
% 15.58/10.80 inference(quant_inst,[status(thm)],[])).
% 15.58/10.80 tff(20908,plain,
% 15.58/10.80 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB163, constB164)) | (v101(constB164) <=> (~((~v1(constB164)) | (~v102(constB164)))))),
% 15.58/10.80 inference(modus_ponens,[status(thm)],[20907, 20906])).
% 15.58/10.80 tff(20909,plain,
% 15.58/10.80 (v101(constB164) <=> (~((~v1(constB164)) | (~v102(constB164))))),
% 15.58/10.80 inference(unit_resolution,[status(thm)],[20908, 20898, 450])).
% 15.58/10.80 tff(20910,plain,
% 15.58/10.80 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | ((~nextState(constB163, constB164)) | ((~v102(constB164)) <=> v104(constB164)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | (~nextState(constB163, constB164)) | ((~v102(constB164)) <=> v104(constB164)))),
% 15.58/10.80 inference(rewrite,[status(thm)],[])).
% 15.58/10.80 tff(20911,plain,
% 15.58/10.80 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | ((~nextState(constB163, constB164)) | ((~v102(constB164)) <=> v104(constB164)))),
% 15.58/10.80 inference(quant_inst,[status(thm)],[])).
% 15.58/10.80 tff(20912,plain,
% 15.58/10.80 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | (~nextState(constB163, constB164)) | ((~v102(constB164)) <=> v104(constB164))),
% 15.58/10.80 inference(modus_ponens,[status(thm)],[20911, 20910])).
% 15.58/10.80 tff(20913,plain,
% 15.58/10.80 ((~v102(constB164)) <=> v104(constB164)),
% 15.58/10.80 inference(unit_resolution,[status(thm)],[20912, 20898, 512])).
% 15.58/10.80 tff(20914,plain,
% 15.58/10.80 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB163, constB164)) | (v104(constB164) <=> v1(constB163)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | (~nextState(constB163, constB164)) | (v104(constB164) <=> v1(constB163)))),
% 15.58/10.80 inference(rewrite,[status(thm)],[])).
% 15.58/10.80 tff(20915,plain,
% 15.58/10.80 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB163, constB164)) | (v104(constB164) <=> v1(constB163)))),
% 15.58/10.80 inference(quant_inst,[status(thm)],[])).
% 15.58/10.80 tff(20916,plain,
% 15.58/10.80 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | (~nextState(constB163, constB164)) | (v104(constB164) <=> v1(constB163))),
% 15.58/10.80 inference(modus_ponens,[status(thm)],[20915, 20914])).
% 15.58/10.80 tff(20917,plain,
% 15.58/10.80 (v104(constB164) <=> v1(constB163)),
% 15.58/10.80 inference(unit_resolution,[status(thm)],[20916, 20898, 526])).
% 15.58/10.80 tff(20918,plain,
% 15.58/10.80 ((~v1(constB163)) <=> (~v1(constB163))),
% 15.58/10.80 inference(rewrite,[status(thm)],[])).
% 15.58/10.80 tff(20919,axiom,(~v1(constB163)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_163')).
% 15.58/10.80 tff(20920,plain,
% 15.58/10.80 (~v1(constB163)),
% 15.58/10.80 inference(modus_ponens,[status(thm)],[20919, 20918])).
% 15.58/10.80 tff(20921,plain,
% 15.58/10.80 ((~(v104(constB164) <=> v1(constB163))) | (~v104(constB164)) | v1(constB163)),
% 15.58/10.80 inference(tautology,[status(thm)],[])).
% 15.58/10.80 tff(20922,plain,
% 15.58/10.80 ((~(v104(constB164) <=> v1(constB163))) | (~v104(constB164))),
% 15.58/10.80 inference(unit_resolution,[status(thm)],[20921, 20920])).
% 15.58/10.80 tff(20923,plain,
% 15.58/10.80 (~v104(constB164)),
% 15.58/10.80 inference(unit_resolution,[status(thm)],[20922, 20917])).
% 15.58/10.80 tff(20924,plain,
% 15.58/10.80 ((~((~v102(constB164)) <=> v104(constB164))) | v102(constB164) | v104(constB164)),
% 15.58/10.80 inference(tautology,[status(thm)],[])).
% 15.58/10.80 tff(20925,plain,
% 15.58/10.80 (v102(constB164)),
% 15.58/10.80 inference(unit_resolution,[status(thm)],[20924, 20923, 20913])).
% 15.58/10.80 tff(20926,plain,
% 15.58/10.80 (v1(constB164) <=> v1(constB164)),
% 15.58/10.80 inference(rewrite,[status(thm)],[])).
% 15.58/10.80 tff(20927,axiom,(v1(constB164)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_164')).
% 15.58/10.80 tff(20928,plain,
% 15.58/10.80 (v1(constB164)),
% 15.58/10.80 inference(modus_ponens,[status(thm)],[20927, 20926])).
% 15.58/10.80 tff(20929,plain,
% 15.58/10.80 ((~((~v1(constB164)) | (~v102(constB164)))) | (~v1(constB164)) | (~v102(constB164))),
% 15.58/10.80 inference(tautology,[status(thm)],[])).
% 15.58/10.80 tff(20930,plain,
% 15.58/10.80 ((~((~v1(constB164)) | (~v102(constB164)))) | (~v102(constB164))),
% 15.58/10.80 inference(unit_resolution,[status(thm)],[20929, 20928])).
% 15.58/10.80 tff(20931,plain,
% 15.58/10.80 (~((~v1(constB164)) | (~v102(constB164)))),
% 15.58/10.80 inference(unit_resolution,[status(thm)],[20930, 20925])).
% 15.58/10.80 tff(20932,plain,
% 15.58/10.80 ((~(v101(constB164) <=> (~((~v1(constB164)) | (~v102(constB164)))))) | v101(constB164) | ((~v1(constB164)) | (~v102(constB164)))),
% 15.58/10.80 inference(tautology,[status(thm)],[])).
% 15.58/10.80 tff(20933,plain,
% 15.58/10.80 (v101(constB164)),
% 15.58/10.80 inference(unit_resolution,[status(thm)],[20932, 20931, 20909])).
% 15.58/10.80 tff(20934,plain,
% 15.58/10.80 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | ((~nextState(constB163, constB164)) | (v110(constB164) <=> v108(constB163)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | (~nextState(constB163, constB164)) | (v110(constB164) <=> v108(constB163)))),
% 15.58/10.80 inference(rewrite,[status(thm)],[])).
% 15.58/10.80 tff(20935,plain,
% 15.58/10.80 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | ((~nextState(constB163, constB164)) | (v110(constB164) <=> v108(constB163)))),
% 15.58/10.80 inference(quant_inst,[status(thm)],[])).
% 15.58/10.80 tff(20936,plain,
% 15.58/10.80 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | (~nextState(constB163, constB164)) | (v110(constB164) <=> v108(constB163))),
% 15.58/10.80 inference(modus_ponens,[status(thm)],[20935, 20934])).
% 15.58/10.80 tff(20937,plain,
% 15.58/10.80 (v110(constB164) <=> v108(constB163)),
% 15.58/10.80 inference(unit_resolution,[status(thm)],[20936, 20898, 556])).
% 15.58/10.80 tff(20938,plain,
% 15.58/10.80 ((~![VarCurr: $i] : (v108(VarCurr) <=> (v111(VarCurr) | v112(VarCurr)))) | (v108(constB163) <=> (v111(constB163) | v112(constB163)))),
% 15.58/10.80 inference(quant_inst,[status(thm)],[])).
% 15.58/10.80 tff(20939,plain,
% 15.58/10.80 (v108(constB163) <=> (v111(constB163) | v112(constB163))),
% 15.58/10.80 inference(unit_resolution,[status(thm)],[20938, 567])).
% 15.58/10.80 tff(20940,plain,
% 15.58/10.80 ((~![VarCurr: $i] : (v112(VarCurr) <=> (~((~v113(VarCurr)) | (~v126(VarCurr)))))) | (v112(constB163) <=> (~((~v113(constB163)) | (~v126(constB163)))))),
% 15.58/10.80 inference(quant_inst,[status(thm)],[])).
% 15.58/10.80 tff(20941,plain,
% 15.58/10.80 (v112(constB163) <=> (~((~v113(constB163)) | (~v126(constB163))))),
% 15.58/10.80 inference(unit_resolution,[status(thm)],[20940, 579])).
% 15.58/10.80 tff(20942,plain,
% 15.58/10.80 ((~![VarCurr: $i] : (v113(VarCurr) <=> (v114(VarCurr) | v125(VarCurr)))) | (v113(constB163) <=> (v114(constB163) | v125(constB163)))),
% 15.58/10.80 inference(quant_inst,[status(thm)],[])).
% 15.58/10.80 tff(20943,plain,
% 15.58/10.80 (v113(constB163) <=> (v114(constB163) | v125(constB163))),
% 15.58/10.80 inference(unit_resolution,[status(thm)],[20942, 588])).
% 15.58/10.80 tff(20944,plain,
% 15.58/10.80 ((~![VarCurr: $i] : (v114(VarCurr) <=> (v115(VarCurr) | v124(VarCurr)))) | (v114(constB163) <=> (v115(constB163) | v124(constB163)))),
% 15.58/10.80 inference(quant_inst,[status(thm)],[])).
% 15.58/10.80 tff(20945,plain,
% 15.58/10.80 (v114(constB163) <=> (v115(constB163) | v124(constB163))),
% 15.58/10.80 inference(unit_resolution,[status(thm)],[20944, 597])).
% 15.58/10.80 tff(20946,plain,
% 15.58/10.80 ((~![VarCurr: $i] : (v115(VarCurr) <=> (v116(VarCurr) | v123(VarCurr)))) | (v115(constB163) <=> (v116(constB163) | v123(constB163)))),
% 15.58/10.80 inference(quant_inst,[status(thm)],[])).
% 15.58/10.80 tff(20947,plain,
% 15.58/10.80 (v115(constB163) <=> (v116(constB163) | v123(constB163))),
% 15.58/10.80 inference(unit_resolution,[status(thm)],[20946, 606])).
% 15.58/10.80 tff(20948,plain,
% 15.58/10.80 (((~![VarCurr: $i] : (v123(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)))))) | (v123(constB163) <=> (~((~v90(constB163, bitIndex2)) | v90(constB163, bitIndex1) | v90(constB163, bitIndex0))))) <=> ((~![VarCurr: $i] : (v123(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)))))) | (v123(constB163) <=> (~((~v90(constB163, bitIndex2)) | v90(constB163, bitIndex1) | v90(constB163, bitIndex0)))))),
% 15.58/10.80 inference(rewrite,[status(thm)],[])).
% 15.58/10.80 tff(20949,plain,
% 15.58/10.80 ((v123(constB163) <=> (~(v90(constB163, bitIndex0) | v90(constB163, bitIndex1) | (~v90(constB163, bitIndex2))))) <=> (v123(constB163) <=> (~((~v90(constB163, bitIndex2)) | v90(constB163, bitIndex1) | v90(constB163, bitIndex0))))),
% 15.58/10.80 inference(rewrite,[status(thm)],[])).
% 15.58/10.80 tff(20950,plain,
% 15.58/10.80 (((~![VarCurr: $i] : (v123(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)))))) | (v123(constB163) <=> (~(v90(constB163, bitIndex0) | v90(constB163, bitIndex1) | (~v90(constB163, bitIndex2)))))) <=> ((~![VarCurr: $i] : (v123(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)))))) | (v123(constB163) <=> (~((~v90(constB163, bitIndex2)) | v90(constB163, bitIndex1) | v90(constB163, bitIndex0)))))),
% 15.58/10.80 inference(monotonicity,[status(thm)],[20949])).
% 15.58/10.80 tff(20951,plain,
% 15.58/10.80 (((~![VarCurr: $i] : (v123(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)))))) | (v123(constB163) <=> (~(v90(constB163, bitIndex0) | v90(constB163, bitIndex1) | (~v90(constB163, bitIndex2)))))) <=> ((~![VarCurr: $i] : (v123(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)))))) | (v123(constB163) <=> (~((~v90(constB163, bitIndex2)) | v90(constB163, bitIndex1) | v90(constB163, bitIndex0)))))),
% 15.58/10.80 inference(transitivity,[status(thm)],[20950, 20948])).
% 15.58/10.80 tff(20952,plain,
% 15.58/10.80 ((~![VarCurr: $i] : (v123(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)))))) | (v123(constB163) <=> (~(v90(constB163, bitIndex0) | v90(constB163, bitIndex1) | (~v90(constB163, bitIndex2)))))),
% 15.58/10.80 inference(quant_inst,[status(thm)],[])).
% 15.58/10.80 tff(20953,plain,
% 15.58/10.80 ((~![VarCurr: $i] : (v123(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)))))) | (v123(constB163) <=> (~((~v90(constB163, bitIndex2)) | v90(constB163, bitIndex1) | v90(constB163, bitIndex0))))),
% 15.58/10.80 inference(modus_ponens,[status(thm)],[20952, 20951])).
% 15.58/10.80 tff(20954,plain,
% 15.58/10.80 (v123(constB163) <=> (~((~v90(constB163, bitIndex2)) | v90(constB163, bitIndex1) | v90(constB163, bitIndex0)))),
% 15.58/10.80 inference(unit_resolution,[status(thm)],[20953, 621])).
% 15.58/10.80 tff(20955,plain,
% 15.58/10.80 (nextState(constB162, constB163) <=> nextState(constB162, constB163)),
% 15.58/10.80 inference(rewrite,[status(thm)],[])).
% 15.58/10.80 tff(20956,axiom,(nextState(constB162, constB163)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_162')).
% 15.58/10.80 tff(20957,plain,
% 15.58/10.80 (nextState(constB162, constB163)),
% 15.58/10.80 inference(modus_ponens,[status(thm)],[20956, 20955])).
% 15.58/10.80 tff(20958,plain,
% 15.58/10.80 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB162, constB163)) | (v100(constB163) <=> (~((~v101(constB163)) | (~v110(constB163))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB162, constB163)) | (v100(constB163) <=> (~((~v101(constB163)) | (~v110(constB163))))))),
% 15.58/10.80 inference(rewrite,[status(thm)],[])).
% 15.58/10.80 tff(20959,plain,
% 15.58/10.80 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB162, constB163)) | (v100(constB163) <=> (~((~v101(constB163)) | (~v110(constB163))))))),
% 15.58/10.80 inference(quant_inst,[status(thm)],[])).
% 15.58/10.80 tff(20960,plain,
% 15.58/10.80 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB162, constB163)) | (v100(constB163) <=> (~((~v101(constB163)) | (~v110(constB163)))))),
% 15.58/10.80 inference(modus_ponens,[status(thm)],[20959, 20958])).
% 15.58/10.80 tff(20961,plain,
% 15.58/10.80 (v100(constB163) <=> (~((~v101(constB163)) | (~v110(constB163))))),
% 15.58/10.80 inference(unit_resolution,[status(thm)],[20960, 20957, 430])).
% 15.58/10.80 tff(20962,plain,
% 15.58/10.80 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB162, constB163)) | (v101(constB163) <=> (~((~v1(constB163)) | (~v102(constB163))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB162, constB163)) | (v101(constB163) <=> (~((~v1(constB163)) | (~v102(constB163))))))),
% 15.58/10.80 inference(rewrite,[status(thm)],[])).
% 15.58/10.80 tff(20963,plain,
% 15.58/10.80 (((~nextState(constB162, constB163)) | (v101(constB163) <=> (~((~v102(constB163)) | (~v1(constB163)))))) <=> ((~nextState(constB162, constB163)) | (v101(constB163) <=> (~((~v1(constB163)) | (~v102(constB163))))))),
% 15.58/10.80 inference(rewrite,[status(thm)],[])).
% 15.58/10.80 tff(20964,plain,
% 15.58/10.80 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB162, constB163)) | (v101(constB163) <=> (~((~v102(constB163)) | (~v1(constB163))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB162, constB163)) | (v101(constB163) <=> (~((~v1(constB163)) | (~v102(constB163)))))))),
% 15.58/10.80 inference(monotonicity,[status(thm)],[20963])).
% 15.58/10.80 tff(20965,plain,
% 15.58/10.80 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB162, constB163)) | (v101(constB163) <=> (~((~v102(constB163)) | (~v1(constB163))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB162, constB163)) | (v101(constB163) <=> (~((~v1(constB163)) | (~v102(constB163))))))),
% 15.58/10.80 inference(transitivity,[status(thm)],[20964, 20962])).
% 15.58/10.80 tff(20966,plain,
% 15.58/10.80 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB162, constB163)) | (v101(constB163) <=> (~((~v102(constB163)) | (~v1(constB163))))))),
% 15.58/10.80 inference(quant_inst,[status(thm)],[])).
% 15.58/10.80 tff(20967,plain,
% 15.58/10.80 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB162, constB163)) | (v101(constB163) <=> (~((~v1(constB163)) | (~v102(constB163)))))),
% 15.58/10.80 inference(modus_ponens,[status(thm)],[20966, 20965])).
% 15.58/10.80 tff(20968,plain,
% 15.58/10.80 (v101(constB163) <=> (~((~v1(constB163)) | (~v102(constB163))))),
% 15.58/10.80 inference(unit_resolution,[status(thm)],[20967, 20957, 450])).
% 15.58/10.80 tff(20969,plain,
% 15.58/10.80 (((~v1(constB163)) | (~v102(constB163))) | v1(constB163)),
% 15.58/10.80 inference(tautology,[status(thm)],[])).
% 15.58/10.80 tff(20970,plain,
% 15.58/10.80 ((~v1(constB163)) | (~v102(constB163))),
% 15.58/10.80 inference(unit_resolution,[status(thm)],[20969, 20920])).
% 15.58/10.80 tff(20971,plain,
% 15.58/10.80 ((~(v101(constB163) <=> (~((~v1(constB163)) | (~v102(constB163)))))) | (~v101(constB163)) | (~((~v1(constB163)) | (~v102(constB163))))),
% 15.58/10.80 inference(tautology,[status(thm)],[])).
% 15.58/10.80 tff(20972,plain,
% 15.58/10.80 ((~(v101(constB163) <=> (~((~v1(constB163)) | (~v102(constB163)))))) | (~v101(constB163))),
% 15.58/10.81 inference(unit_resolution,[status(thm)],[20971, 20970])).
% 15.58/10.81 tff(20973,plain,
% 15.58/10.81 (~v101(constB163)),
% 15.58/10.81 inference(unit_resolution,[status(thm)],[20972, 20968])).
% 15.58/10.81 tff(20974,plain,
% 15.58/10.81 (((~v101(constB163)) | (~v110(constB163))) | v101(constB163)),
% 15.58/10.81 inference(tautology,[status(thm)],[])).
% 15.58/10.81 tff(20975,plain,
% 15.58/10.81 ((~v101(constB163)) | (~v110(constB163))),
% 15.58/10.81 inference(unit_resolution,[status(thm)],[20974, 20973])).
% 15.58/10.81 tff(20976,plain,
% 15.58/10.81 ((~(v100(constB163) <=> (~((~v101(constB163)) | (~v110(constB163)))))) | (~v100(constB163)) | (~((~v101(constB163)) | (~v110(constB163))))),
% 15.58/10.81 inference(tautology,[status(thm)],[])).
% 15.58/10.81 tff(20977,plain,
% 15.58/10.81 (~v100(constB163)),
% 15.58/10.81 inference(unit_resolution,[status(thm)],[20976, 20975, 20961])).
% 15.58/10.81 tff(20978,plain,
% 15.58/10.81 (((~![VarCurr: $i, VarNext: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v90(VarCurr, B))))) | (v100(constB163) | (~nextState(constB162, constB163)) | ![B: $i] : ((~less_3(B)) | (v90(constB163, B) <=> v90(constB162, B))))) <=> ((~![VarCurr: $i, VarNext: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v90(VarCurr, B))))) | v100(constB163) | (~nextState(constB162, constB163)) | ![B: $i] : ((~less_3(B)) | (v90(constB163, B) <=> v90(constB162, B))))),
% 15.58/10.81 inference(rewrite,[status(thm)],[])).
% 15.58/10.81 tff(20979,plain,
% 15.58/10.81 ((~![VarCurr: $i, VarNext: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v90(VarCurr, B))))) | (v100(constB163) | (~nextState(constB162, constB163)) | ![B: $i] : ((~less_3(B)) | (v90(constB163, B) <=> v90(constB162, B))))),
% 15.58/10.81 inference(quant_inst,[status(thm)],[])).
% 15.58/10.81 tff(20980,plain,
% 15.58/10.81 ((~![VarCurr: $i, VarNext: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v90(VarCurr, B))))) | v100(constB163) | (~nextState(constB162, constB163)) | ![B: $i] : ((~less_3(B)) | (v90(constB163, B) <=> v90(constB162, B)))),
% 15.58/10.81 inference(modus_ponens,[status(thm)],[20979, 20978])).
% 15.58/10.81 tff(20981,plain,
% 15.58/10.81 (v100(constB163) | ![B: $i] : ((~less_3(B)) | (v90(constB163, B) <=> v90(constB162, B)))),
% 15.58/10.81 inference(unit_resolution,[status(thm)],[20980, 20957, 479])).
% 15.58/10.81 tff(20982,plain,
% 15.58/10.81 (![B: $i] : ((~less_3(B)) | (v90(constB163, B) <=> v90(constB162, B)))),
% 15.58/10.81 inference(unit_resolution,[status(thm)],[20981, 20977])).
% 15.58/10.81 tff(20983,plain,
% 15.58/10.81 (((~![B: $i] : ((~less_3(B)) | (v90(constB163, B) <=> v90(constB162, B)))) | ((~less_3(bitIndex2)) | (v90(constB163, bitIndex2) <=> v90(constB162, bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v90(constB163, B) <=> v90(constB162, B)))) | (~less_3(bitIndex2)) | (v90(constB163, bitIndex2) <=> v90(constB162, bitIndex2)))),
% 15.58/10.81 inference(rewrite,[status(thm)],[])).
% 15.58/10.81 tff(20984,plain,
% 15.58/10.81 ((~![B: $i] : ((~less_3(B)) | (v90(constB163, B) <=> v90(constB162, B)))) | ((~less_3(bitIndex2)) | (v90(constB163, bitIndex2) <=> v90(constB162, bitIndex2)))),
% 15.58/10.81 inference(quant_inst,[status(thm)],[])).
% 15.58/10.81 tff(20985,plain,
% 15.58/10.81 ((~![B: $i] : ((~less_3(B)) | (v90(constB163, B) <=> v90(constB162, B)))) | (~less_3(bitIndex2)) | (v90(constB163, bitIndex2) <=> v90(constB162, bitIndex2))),
% 15.58/10.81 inference(modus_ponens,[status(thm)],[20984, 20983])).
% 15.58/10.81 tff(20986,plain,
% 15.58/10.81 (v90(constB163, bitIndex2) <=> v90(constB162, bitIndex2)),
% 15.58/10.81 inference(unit_resolution,[status(thm)],[20985, 413, 20982])).
% 15.58/10.81 tff(20987,plain,
% 15.58/10.81 (nextState(constB161, constB162) <=> nextState(constB161, constB162)),
% 15.58/10.81 inference(rewrite,[status(thm)],[])).
% 15.58/10.81 tff(20988,axiom,(nextState(constB161, constB162)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_161')).
% 15.58/10.81 tff(20989,plain,
% 15.58/10.81 (nextState(constB161, constB162)),
% 15.58/10.81 inference(modus_ponens,[status(thm)],[20988, 20987])).
% 15.58/10.81 tff(20990,plain,
% 15.58/10.81 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB161, constB162)) | (v100(constB162) <=> (~((~v101(constB162)) | (~v110(constB162))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB161, constB162)) | (v100(constB162) <=> (~((~v101(constB162)) | (~v110(constB162))))))),
% 15.58/10.81 inference(rewrite,[status(thm)],[])).
% 15.58/10.81 tff(20991,plain,
% 15.58/10.81 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB161, constB162)) | (v100(constB162) <=> (~((~v101(constB162)) | (~v110(constB162))))))),
% 15.58/10.81 inference(quant_inst,[status(thm)],[])).
% 15.58/10.81 tff(20992,plain,
% 15.58/10.81 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB161, constB162)) | (v100(constB162) <=> (~((~v101(constB162)) | (~v110(constB162)))))),
% 15.58/10.81 inference(modus_ponens,[status(thm)],[20991, 20990])).
% 15.58/10.81 tff(20993,plain,
% 15.58/10.81 (v100(constB162) <=> (~((~v101(constB162)) | (~v110(constB162))))),
% 15.58/10.81 inference(unit_resolution,[status(thm)],[20992, 20989, 430])).
% 15.58/10.81 tff(20994,plain,
% 15.58/10.81 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB161, constB162)) | (v101(constB162) <=> (~((~v1(constB162)) | (~v102(constB162))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB161, constB162)) | (v101(constB162) <=> (~((~v1(constB162)) | (~v102(constB162))))))),
% 15.58/10.81 inference(rewrite,[status(thm)],[])).
% 15.58/10.81 tff(20995,plain,
% 15.58/10.81 (((~nextState(constB161, constB162)) | (v101(constB162) <=> (~((~v102(constB162)) | (~v1(constB162)))))) <=> ((~nextState(constB161, constB162)) | (v101(constB162) <=> (~((~v1(constB162)) | (~v102(constB162))))))),
% 15.58/10.81 inference(rewrite,[status(thm)],[])).
% 15.58/10.81 tff(20996,plain,
% 15.58/10.81 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB161, constB162)) | (v101(constB162) <=> (~((~v102(constB162)) | (~v1(constB162))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB161, constB162)) | (v101(constB162) <=> (~((~v1(constB162)) | (~v102(constB162)))))))),
% 15.58/10.81 inference(monotonicity,[status(thm)],[20995])).
% 15.58/10.81 tff(20997,plain,
% 15.58/10.81 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB161, constB162)) | (v101(constB162) <=> (~((~v102(constB162)) | (~v1(constB162))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB161, constB162)) | (v101(constB162) <=> (~((~v1(constB162)) | (~v102(constB162))))))),
% 15.58/10.81 inference(transitivity,[status(thm)],[20996, 20994])).
% 15.58/10.81 tff(20998,plain,
% 15.58/10.81 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB161, constB162)) | (v101(constB162) <=> (~((~v102(constB162)) | (~v1(constB162))))))),
% 15.58/10.81 inference(quant_inst,[status(thm)],[])).
% 15.58/10.81 tff(20999,plain,
% 15.58/10.81 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB161, constB162)) | (v101(constB162) <=> (~((~v1(constB162)) | (~v102(constB162)))))),
% 15.58/10.81 inference(modus_ponens,[status(thm)],[20998, 20997])).
% 15.58/10.81 tff(21000,plain,
% 15.58/10.81 (v101(constB162) <=> (~((~v1(constB162)) | (~v102(constB162))))),
% 15.58/10.81 inference(unit_resolution,[status(thm)],[20999, 20989, 450])).
% 15.58/10.81 tff(21001,plain,
% 15.58/10.81 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | ((~nextState(constB161, constB162)) | ((~v102(constB162)) <=> v104(constB162)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | (~nextState(constB161, constB162)) | ((~v102(constB162)) <=> v104(constB162)))),
% 15.58/10.81 inference(rewrite,[status(thm)],[])).
% 15.58/10.81 tff(21002,plain,
% 15.58/10.81 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | ((~nextState(constB161, constB162)) | ((~v102(constB162)) <=> v104(constB162)))),
% 15.58/10.81 inference(quant_inst,[status(thm)],[])).
% 15.58/10.81 tff(21003,plain,
% 15.58/10.81 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | (~nextState(constB161, constB162)) | ((~v102(constB162)) <=> v104(constB162))),
% 15.58/10.81 inference(modus_ponens,[status(thm)],[21002, 21001])).
% 15.58/10.81 tff(21004,plain,
% 15.58/10.81 ((~v102(constB162)) <=> v104(constB162)),
% 15.58/10.81 inference(unit_resolution,[status(thm)],[21003, 20989, 512])).
% 15.58/10.81 tff(21005,plain,
% 15.58/10.81 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB161, constB162)) | (v104(constB162) <=> v1(constB161)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | (~nextState(constB161, constB162)) | (v104(constB162) <=> v1(constB161)))),
% 15.58/10.81 inference(rewrite,[status(thm)],[])).
% 15.58/10.81 tff(21006,plain,
% 15.58/10.81 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB161, constB162)) | (v104(constB162) <=> v1(constB161)))),
% 15.58/10.81 inference(quant_inst,[status(thm)],[])).
% 15.58/10.81 tff(21007,plain,
% 15.58/10.81 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | (~nextState(constB161, constB162)) | (v104(constB162) <=> v1(constB161))),
% 15.58/10.81 inference(modus_ponens,[status(thm)],[21006, 21005])).
% 15.58/10.81 tff(21008,plain,
% 15.58/10.81 (v104(constB162) <=> v1(constB161)),
% 15.58/10.81 inference(unit_resolution,[status(thm)],[21007, 20989, 526])).
% 15.58/10.81 tff(21009,plain,
% 15.58/10.81 ((~v1(constB161)) <=> (~v1(constB161))),
% 15.58/10.81 inference(rewrite,[status(thm)],[])).
% 15.58/10.81 tff(21010,axiom,(~v1(constB161)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_161')).
% 15.58/10.81 tff(21011,plain,
% 15.58/10.81 (~v1(constB161)),
% 15.58/10.81 inference(modus_ponens,[status(thm)],[21010, 21009])).
% 15.58/10.81 tff(21012,plain,
% 15.58/10.81 ((~(v104(constB162) <=> v1(constB161))) | (~v104(constB162)) | v1(constB161)),
% 15.58/10.81 inference(tautology,[status(thm)],[])).
% 15.58/10.81 tff(21013,plain,
% 15.58/10.81 ((~(v104(constB162) <=> v1(constB161))) | (~v104(constB162))),
% 15.58/10.81 inference(unit_resolution,[status(thm)],[21012, 21011])).
% 15.58/10.81 tff(21014,plain,
% 15.58/10.81 (~v104(constB162)),
% 15.58/10.81 inference(unit_resolution,[status(thm)],[21013, 21008])).
% 15.58/10.81 tff(21015,plain,
% 15.58/10.81 ((~((~v102(constB162)) <=> v104(constB162))) | v102(constB162) | v104(constB162)),
% 15.58/10.81 inference(tautology,[status(thm)],[])).
% 15.58/10.81 tff(21016,plain,
% 15.58/10.81 (v102(constB162)),
% 15.58/10.81 inference(unit_resolution,[status(thm)],[21015, 21014, 21004])).
% 15.58/10.81 tff(21017,plain,
% 15.58/10.81 (v1(constB162) <=> v1(constB162)),
% 15.58/10.81 inference(rewrite,[status(thm)],[])).
% 15.58/10.81 tff(21018,axiom,(v1(constB162)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_162')).
% 15.58/10.81 tff(21019,plain,
% 15.58/10.81 (v1(constB162)),
% 15.58/10.81 inference(modus_ponens,[status(thm)],[21018, 21017])).
% 15.58/10.81 tff(21020,plain,
% 15.58/10.81 ((~((~v1(constB162)) | (~v102(constB162)))) | (~v1(constB162)) | (~v102(constB162))),
% 15.58/10.81 inference(tautology,[status(thm)],[])).
% 15.58/10.81 tff(21021,plain,
% 15.58/10.81 ((~((~v1(constB162)) | (~v102(constB162)))) | (~v102(constB162))),
% 15.58/10.81 inference(unit_resolution,[status(thm)],[21020, 21019])).
% 15.58/10.81 tff(21022,plain,
% 15.58/10.81 (~((~v1(constB162)) | (~v102(constB162)))),
% 15.58/10.81 inference(unit_resolution,[status(thm)],[21021, 21016])).
% 15.58/10.81 tff(21023,plain,
% 15.58/10.81 ((~(v101(constB162) <=> (~((~v1(constB162)) | (~v102(constB162)))))) | v101(constB162) | ((~v1(constB162)) | (~v102(constB162)))),
% 15.58/10.81 inference(tautology,[status(thm)],[])).
% 15.58/10.81 tff(21024,plain,
% 15.58/10.81 (v101(constB162)),
% 15.58/10.81 inference(unit_resolution,[status(thm)],[21023, 21022, 21000])).
% 15.58/10.81 tff(21025,plain,
% 15.58/10.81 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | ((~nextState(constB161, constB162)) | (v110(constB162) <=> v108(constB161)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | (~nextState(constB161, constB162)) | (v110(constB162) <=> v108(constB161)))),
% 15.58/10.81 inference(rewrite,[status(thm)],[])).
% 15.58/10.81 tff(21026,plain,
% 15.58/10.81 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | ((~nextState(constB161, constB162)) | (v110(constB162) <=> v108(constB161)))),
% 15.58/10.81 inference(quant_inst,[status(thm)],[])).
% 15.58/10.81 tff(21027,plain,
% 15.58/10.81 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | (~nextState(constB161, constB162)) | (v110(constB162) <=> v108(constB161))),
% 15.58/10.81 inference(modus_ponens,[status(thm)],[21026, 21025])).
% 15.58/10.81 tff(21028,plain,
% 15.58/10.81 (v110(constB162) <=> v108(constB161)),
% 15.58/10.81 inference(unit_resolution,[status(thm)],[21027, 20989, 556])).
% 15.58/10.81 tff(21029,plain,
% 15.58/10.81 ((~![VarCurr: $i] : (v108(VarCurr) <=> (v111(VarCurr) | v112(VarCurr)))) | (v108(constB161) <=> (v111(constB161) | v112(constB161)))),
% 15.58/10.81 inference(quant_inst,[status(thm)],[])).
% 15.58/10.81 tff(21030,plain,
% 15.58/10.81 (v108(constB161) <=> (v111(constB161) | v112(constB161))),
% 15.58/10.81 inference(unit_resolution,[status(thm)],[21029, 567])).
% 15.58/10.81 tff(21031,plain,
% 15.58/10.81 ((~![VarCurr: $i] : (v112(VarCurr) <=> (~((~v113(VarCurr)) | (~v126(VarCurr)))))) | (v112(constB161) <=> (~((~v113(constB161)) | (~v126(constB161)))))),
% 15.58/10.81 inference(quant_inst,[status(thm)],[])).
% 15.58/10.81 tff(21032,plain,
% 15.58/10.81 (v112(constB161) <=> (~((~v113(constB161)) | (~v126(constB161))))),
% 15.58/10.81 inference(unit_resolution,[status(thm)],[21031, 579])).
% 15.58/10.81 tff(21033,plain,
% 15.58/10.81 ((~![VarCurr: $i] : (v113(VarCurr) <=> (v114(VarCurr) | v125(VarCurr)))) | (v113(constB161) <=> (v114(constB161) | v125(constB161)))),
% 15.58/10.81 inference(quant_inst,[status(thm)],[])).
% 15.58/10.81 tff(21034,plain,
% 15.58/10.81 (v113(constB161) <=> (v114(constB161) | v125(constB161))),
% 15.58/10.81 inference(unit_resolution,[status(thm)],[21033, 588])).
% 15.58/10.81 tff(21035,plain,
% 15.58/10.81 ((~![VarCurr: $i] : (v114(VarCurr) <=> (v115(VarCurr) | v124(VarCurr)))) | (v114(constB161) <=> (v115(constB161) | v124(constB161)))),
% 15.58/10.81 inference(quant_inst,[status(thm)],[])).
% 15.58/10.81 tff(21036,plain,
% 15.58/10.81 (v114(constB161) <=> (v115(constB161) | v124(constB161))),
% 15.58/10.81 inference(unit_resolution,[status(thm)],[21035, 597])).
% 15.58/10.81 tff(21037,plain,
% 15.58/10.81 ((~![VarCurr: $i] : (v115(VarCurr) <=> (v116(VarCurr) | v123(VarCurr)))) | (v115(constB161) <=> (v116(constB161) | v123(constB161)))),
% 15.58/10.81 inference(quant_inst,[status(thm)],[])).
% 15.58/10.81 tff(21038,plain,
% 15.58/10.81 (v115(constB161) <=> (v116(constB161) | v123(constB161))),
% 15.58/10.81 inference(unit_resolution,[status(thm)],[21037, 606])).
% 15.58/10.81 tff(21039,plain,
% 15.58/10.81 ((~![VarCurr: $i] : (v116(VarCurr) <=> (v117(VarCurr) | v122(VarCurr)))) | (v116(constB161) <=> (v117(constB161) | v122(constB161)))),
% 15.58/10.81 inference(quant_inst,[status(thm)],[])).
% 15.58/10.81 tff(21040,plain,
% 15.58/10.81 (v116(constB161) <=> (v117(constB161) | v122(constB161))),
% 15.58/10.81 inference(unit_resolution,[status(thm)],[21039, 719])).
% 15.58/10.81 tff(21041,plain,
% 15.58/10.81 (((~![VarCurr: $i] : (v122(VarCurr) <=> (~(v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)))))) | (v122(constB161) <=> (~(v90(constB161, bitIndex2) | (~v90(constB161, bitIndex1)) | (~v90(constB161, bitIndex0)))))) <=> ((~![VarCurr: $i] : (v122(VarCurr) <=> (~(v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)))))) | (v122(constB161) <=> (~(v90(constB161, bitIndex2) | (~v90(constB161, bitIndex1)) | (~v90(constB161, bitIndex0))))))),
% 15.58/10.81 inference(rewrite,[status(thm)],[])).
% 15.58/10.81 tff(21042,plain,
% 15.58/10.81 ((v122(constB161) <=> (~(v90(constB161, bitIndex2) | (~v90(constB161, bitIndex0)) | (~v90(constB161, bitIndex1))))) <=> (v122(constB161) <=> (~(v90(constB161, bitIndex2) | (~v90(constB161, bitIndex1)) | (~v90(constB161, bitIndex0)))))),
% 15.58/10.81 inference(rewrite,[status(thm)],[])).
% 15.58/10.81 tff(21043,plain,
% 15.58/10.81 (((~![VarCurr: $i] : (v122(VarCurr) <=> (~(v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)))))) | (v122(constB161) <=> (~(v90(constB161, bitIndex2) | (~v90(constB161, bitIndex0)) | (~v90(constB161, bitIndex1)))))) <=> ((~![VarCurr: $i] : (v122(VarCurr) <=> (~(v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)))))) | (v122(constB161) <=> (~(v90(constB161, bitIndex2) | (~v90(constB161, bitIndex1)) | (~v90(constB161, bitIndex0))))))),
% 15.58/10.82 inference(monotonicity,[status(thm)],[21042])).
% 15.58/10.82 tff(21044,plain,
% 15.58/10.82 (((~![VarCurr: $i] : (v122(VarCurr) <=> (~(v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)))))) | (v122(constB161) <=> (~(v90(constB161, bitIndex2) | (~v90(constB161, bitIndex0)) | (~v90(constB161, bitIndex1)))))) <=> ((~![VarCurr: $i] : (v122(VarCurr) <=> (~(v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)))))) | (v122(constB161) <=> (~(v90(constB161, bitIndex2) | (~v90(constB161, bitIndex1)) | (~v90(constB161, bitIndex0))))))),
% 15.58/10.82 inference(transitivity,[status(thm)],[21043, 21041])).
% 15.58/10.82 tff(21045,plain,
% 15.58/10.82 ((~![VarCurr: $i] : (v122(VarCurr) <=> (~(v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)))))) | (v122(constB161) <=> (~(v90(constB161, bitIndex2) | (~v90(constB161, bitIndex0)) | (~v90(constB161, bitIndex1)))))),
% 15.58/10.82 inference(quant_inst,[status(thm)],[])).
% 15.58/10.82 tff(21046,plain,
% 15.58/10.82 ((~![VarCurr: $i] : (v122(VarCurr) <=> (~(v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)))))) | (v122(constB161) <=> (~(v90(constB161, bitIndex2) | (~v90(constB161, bitIndex1)) | (~v90(constB161, bitIndex0)))))),
% 15.58/10.82 inference(modus_ponens,[status(thm)],[21045, 21044])).
% 15.58/10.82 tff(21047,plain,
% 15.58/10.82 (v122(constB161) <=> (~(v90(constB161, bitIndex2) | (~v90(constB161, bitIndex1)) | (~v90(constB161, bitIndex0))))),
% 15.58/10.82 inference(unit_resolution,[status(thm)],[21046, 734])).
% 15.58/10.82 tff(21048,plain,
% 15.58/10.82 (nextState(constB160, constB161) <=> nextState(constB160, constB161)),
% 15.58/10.82 inference(rewrite,[status(thm)],[])).
% 15.58/10.82 tff(21049,axiom,(nextState(constB160, constB161)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_160')).
% 15.58/10.82 tff(21050,plain,
% 15.58/10.82 (nextState(constB160, constB161)),
% 15.58/10.82 inference(modus_ponens,[status(thm)],[21049, 21048])).
% 15.58/10.82 tff(21051,plain,
% 15.58/10.82 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB160, constB161)) | (v100(constB161) <=> (~((~v101(constB161)) | (~v110(constB161))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB160, constB161)) | (v100(constB161) <=> (~((~v101(constB161)) | (~v110(constB161))))))),
% 15.58/10.82 inference(rewrite,[status(thm)],[])).
% 15.58/10.82 tff(21052,plain,
% 15.58/10.82 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB160, constB161)) | (v100(constB161) <=> (~((~v101(constB161)) | (~v110(constB161))))))),
% 15.58/10.82 inference(quant_inst,[status(thm)],[])).
% 15.58/10.82 tff(21053,plain,
% 15.58/10.82 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB160, constB161)) | (v100(constB161) <=> (~((~v101(constB161)) | (~v110(constB161)))))),
% 15.58/10.82 inference(modus_ponens,[status(thm)],[21052, 21051])).
% 15.58/10.82 tff(21054,plain,
% 15.58/10.82 (v100(constB161) <=> (~((~v101(constB161)) | (~v110(constB161))))),
% 15.58/10.82 inference(unit_resolution,[status(thm)],[21053, 21050, 430])).
% 15.58/10.82 tff(21055,plain,
% 15.58/10.82 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB160, constB161)) | (v101(constB161) <=> (~((~v1(constB161)) | (~v102(constB161))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB160, constB161)) | (v101(constB161) <=> (~((~v1(constB161)) | (~v102(constB161))))))),
% 15.58/10.82 inference(rewrite,[status(thm)],[])).
% 15.58/10.82 tff(21056,plain,
% 15.58/10.82 (((~nextState(constB160, constB161)) | (v101(constB161) <=> (~((~v102(constB161)) | (~v1(constB161)))))) <=> ((~nextState(constB160, constB161)) | (v101(constB161) <=> (~((~v1(constB161)) | (~v102(constB161))))))),
% 15.58/10.82 inference(rewrite,[status(thm)],[])).
% 15.58/10.82 tff(21057,plain,
% 15.58/10.82 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB160, constB161)) | (v101(constB161) <=> (~((~v102(constB161)) | (~v1(constB161))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB160, constB161)) | (v101(constB161) <=> (~((~v1(constB161)) | (~v102(constB161)))))))),
% 15.58/10.82 inference(monotonicity,[status(thm)],[21056])).
% 15.58/10.82 tff(21058,plain,
% 15.58/10.82 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB160, constB161)) | (v101(constB161) <=> (~((~v102(constB161)) | (~v1(constB161))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB160, constB161)) | (v101(constB161) <=> (~((~v1(constB161)) | (~v102(constB161))))))),
% 15.58/10.82 inference(transitivity,[status(thm)],[21057, 21055])).
% 15.58/10.82 tff(21059,plain,
% 15.58/10.82 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB160, constB161)) | (v101(constB161) <=> (~((~v102(constB161)) | (~v1(constB161))))))),
% 15.58/10.82 inference(quant_inst,[status(thm)],[])).
% 15.58/10.82 tff(21060,plain,
% 15.58/10.82 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB160, constB161)) | (v101(constB161) <=> (~((~v1(constB161)) | (~v102(constB161)))))),
% 15.58/10.82 inference(modus_ponens,[status(thm)],[21059, 21058])).
% 15.58/10.82 tff(21061,plain,
% 15.58/10.82 (v101(constB161) <=> (~((~v1(constB161)) | (~v102(constB161))))),
% 15.58/10.82 inference(unit_resolution,[status(thm)],[21060, 21050, 450])).
% 15.58/10.82 tff(21062,plain,
% 15.58/10.82 (((~v1(constB161)) | (~v102(constB161))) | v1(constB161)),
% 15.58/10.82 inference(tautology,[status(thm)],[])).
% 15.58/10.82 tff(21063,plain,
% 15.58/10.82 ((~v1(constB161)) | (~v102(constB161))),
% 15.58/10.82 inference(unit_resolution,[status(thm)],[21062, 21011])).
% 15.58/10.82 tff(21064,plain,
% 15.58/10.82 ((~(v101(constB161) <=> (~((~v1(constB161)) | (~v102(constB161)))))) | (~v101(constB161)) | (~((~v1(constB161)) | (~v102(constB161))))),
% 15.58/10.82 inference(tautology,[status(thm)],[])).
% 15.58/10.82 tff(21065,plain,
% 15.58/10.82 ((~(v101(constB161) <=> (~((~v1(constB161)) | (~v102(constB161)))))) | (~v101(constB161))),
% 15.58/10.82 inference(unit_resolution,[status(thm)],[21064, 21063])).
% 15.58/10.82 tff(21066,plain,
% 15.58/10.82 (~v101(constB161)),
% 15.58/10.82 inference(unit_resolution,[status(thm)],[21065, 21061])).
% 15.58/10.82 tff(21067,plain,
% 15.58/10.82 (((~v101(constB161)) | (~v110(constB161))) | v101(constB161)),
% 15.58/10.82 inference(tautology,[status(thm)],[])).
% 15.58/10.82 tff(21068,plain,
% 15.58/10.82 ((~v101(constB161)) | (~v110(constB161))),
% 15.58/10.82 inference(unit_resolution,[status(thm)],[21067, 21066])).
% 15.58/10.82 tff(21069,plain,
% 15.58/10.82 ((~(v100(constB161) <=> (~((~v101(constB161)) | (~v110(constB161)))))) | (~v100(constB161)) | (~((~v101(constB161)) | (~v110(constB161))))),
% 15.58/10.82 inference(tautology,[status(thm)],[])).
% 15.58/10.82 tff(21070,plain,
% 15.58/10.82 (~v100(constB161)),
% 15.58/10.82 inference(unit_resolution,[status(thm)],[21069, 21068, 21054])).
% 15.58/10.82 tff(21071,plain,
% 15.58/10.82 (((~![VarCurr: $i, VarNext: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v90(VarCurr, B))))) | (v100(constB161) | (~nextState(constB160, constB161)) | ![B: $i] : ((~less_3(B)) | (v90(constB161, B) <=> v90(constB160, B))))) <=> ((~![VarCurr: $i, VarNext: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v90(VarCurr, B))))) | v100(constB161) | (~nextState(constB160, constB161)) | ![B: $i] : ((~less_3(B)) | (v90(constB161, B) <=> v90(constB160, B))))),
% 15.58/10.82 inference(rewrite,[status(thm)],[])).
% 15.58/10.82 tff(21072,plain,
% 15.58/10.82 ((~![VarCurr: $i, VarNext: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v90(VarCurr, B))))) | (v100(constB161) | (~nextState(constB160, constB161)) | ![B: $i] : ((~less_3(B)) | (v90(constB161, B) <=> v90(constB160, B))))),
% 15.58/10.82 inference(quant_inst,[status(thm)],[])).
% 15.58/10.82 tff(21073,plain,
% 15.58/10.82 ((~![VarCurr: $i, VarNext: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v90(VarCurr, B))))) | v100(constB161) | (~nextState(constB160, constB161)) | ![B: $i] : ((~less_3(B)) | (v90(constB161, B) <=> v90(constB160, B)))),
% 15.58/10.82 inference(modus_ponens,[status(thm)],[21072, 21071])).
% 15.58/10.82 tff(21074,plain,
% 15.58/10.82 (v100(constB161) | ![B: $i] : ((~less_3(B)) | (v90(constB161, B) <=> v90(constB160, B)))),
% 15.58/10.82 inference(unit_resolution,[status(thm)],[21073, 21050, 479])).
% 15.58/10.82 tff(21075,plain,
% 15.58/10.82 (![B: $i] : ((~less_3(B)) | (v90(constB161, B) <=> v90(constB160, B)))),
% 15.58/10.82 inference(unit_resolution,[status(thm)],[21074, 21070])).
% 15.58/10.82 tff(21076,plain,
% 15.58/10.82 (((~![B: $i] : ((~less_3(B)) | (v90(constB161, B) <=> v90(constB160, B)))) | ((~less_3(bitIndex2)) | (v90(constB161, bitIndex2) <=> v90(constB160, bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v90(constB161, B) <=> v90(constB160, B)))) | (~less_3(bitIndex2)) | (v90(constB161, bitIndex2) <=> v90(constB160, bitIndex2)))),
% 15.58/10.82 inference(rewrite,[status(thm)],[])).
% 15.58/10.82 tff(21077,plain,
% 15.58/10.82 ((~![B: $i] : ((~less_3(B)) | (v90(constB161, B) <=> v90(constB160, B)))) | ((~less_3(bitIndex2)) | (v90(constB161, bitIndex2) <=> v90(constB160, bitIndex2)))),
% 15.58/10.82 inference(quant_inst,[status(thm)],[])).
% 15.58/10.82 tff(21078,plain,
% 15.58/10.82 ((~![B: $i] : ((~less_3(B)) | (v90(constB161, B) <=> v90(constB160, B)))) | (~less_3(bitIndex2)) | (v90(constB161, bitIndex2) <=> v90(constB160, bitIndex2))),
% 15.58/10.82 inference(modus_ponens,[status(thm)],[21077, 21076])).
% 15.58/10.82 tff(21079,plain,
% 15.58/10.82 (v90(constB161, bitIndex2) <=> v90(constB160, bitIndex2)),
% 15.58/10.82 inference(unit_resolution,[status(thm)],[21078, 413, 21075])).
% 15.58/10.82 tff(21080,plain,
% 15.58/10.82 (nextState(constB159, constB160) <=> nextState(constB159, constB160)),
% 15.58/10.82 inference(rewrite,[status(thm)],[])).
% 15.58/10.82 tff(21081,axiom,(nextState(constB159, constB160)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_159')).
% 15.58/10.82 tff(21082,plain,
% 15.58/10.82 (nextState(constB159, constB160)),
% 15.58/10.82 inference(modus_ponens,[status(thm)],[21081, 21080])).
% 15.58/10.82 tff(21083,plain,
% 15.58/10.82 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB159, constB160)) | (v100(constB160) <=> (~((~v101(constB160)) | (~v110(constB160))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB159, constB160)) | (v100(constB160) <=> (~((~v101(constB160)) | (~v110(constB160))))))),
% 15.58/10.82 inference(rewrite,[status(thm)],[])).
% 15.58/10.82 tff(21084,plain,
% 15.58/10.82 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB159, constB160)) | (v100(constB160) <=> (~((~v101(constB160)) | (~v110(constB160))))))),
% 15.58/10.82 inference(quant_inst,[status(thm)],[])).
% 15.58/10.82 tff(21085,plain,
% 15.58/10.82 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB159, constB160)) | (v100(constB160) <=> (~((~v101(constB160)) | (~v110(constB160)))))),
% 15.58/10.82 inference(modus_ponens,[status(thm)],[21084, 21083])).
% 15.58/10.82 tff(21086,plain,
% 15.58/10.82 (v100(constB160) <=> (~((~v101(constB160)) | (~v110(constB160))))),
% 15.58/10.82 inference(unit_resolution,[status(thm)],[21085, 21082, 430])).
% 15.58/10.82 tff(21087,plain,
% 15.58/10.82 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB159, constB160)) | (v101(constB160) <=> (~((~v1(constB160)) | (~v102(constB160))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB159, constB160)) | (v101(constB160) <=> (~((~v1(constB160)) | (~v102(constB160))))))),
% 15.58/10.82 inference(rewrite,[status(thm)],[])).
% 15.58/10.82 tff(21088,plain,
% 15.58/10.82 (((~nextState(constB159, constB160)) | (v101(constB160) <=> (~((~v102(constB160)) | (~v1(constB160)))))) <=> ((~nextState(constB159, constB160)) | (v101(constB160) <=> (~((~v1(constB160)) | (~v102(constB160))))))),
% 15.58/10.82 inference(rewrite,[status(thm)],[])).
% 15.58/10.82 tff(21089,plain,
% 15.58/10.82 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB159, constB160)) | (v101(constB160) <=> (~((~v102(constB160)) | (~v1(constB160))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB159, constB160)) | (v101(constB160) <=> (~((~v1(constB160)) | (~v102(constB160)))))))),
% 15.58/10.82 inference(monotonicity,[status(thm)],[21088])).
% 15.58/10.82 tff(21090,plain,
% 15.58/10.82 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB159, constB160)) | (v101(constB160) <=> (~((~v102(constB160)) | (~v1(constB160))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB159, constB160)) | (v101(constB160) <=> (~((~v1(constB160)) | (~v102(constB160))))))),
% 15.58/10.82 inference(transitivity,[status(thm)],[21089, 21087])).
% 15.58/10.82 tff(21091,plain,
% 15.58/10.82 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB159, constB160)) | (v101(constB160) <=> (~((~v102(constB160)) | (~v1(constB160))))))),
% 15.58/10.82 inference(quant_inst,[status(thm)],[])).
% 15.58/10.82 tff(21092,plain,
% 15.58/10.82 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB159, constB160)) | (v101(constB160) <=> (~((~v1(constB160)) | (~v102(constB160)))))),
% 15.58/10.82 inference(modus_ponens,[status(thm)],[21091, 21090])).
% 15.58/10.82 tff(21093,plain,
% 15.58/10.82 (v101(constB160) <=> (~((~v1(constB160)) | (~v102(constB160))))),
% 15.58/10.82 inference(unit_resolution,[status(thm)],[21092, 21082, 450])).
% 15.58/10.82 tff(21094,plain,
% 15.58/10.82 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | ((~nextState(constB159, constB160)) | ((~v102(constB160)) <=> v104(constB160)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | (~nextState(constB159, constB160)) | ((~v102(constB160)) <=> v104(constB160)))),
% 15.58/10.82 inference(rewrite,[status(thm)],[])).
% 15.58/10.82 tff(21095,plain,
% 15.58/10.82 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | ((~nextState(constB159, constB160)) | ((~v102(constB160)) <=> v104(constB160)))),
% 15.58/10.82 inference(quant_inst,[status(thm)],[])).
% 15.58/10.82 tff(21096,plain,
% 15.58/10.82 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | (~nextState(constB159, constB160)) | ((~v102(constB160)) <=> v104(constB160))),
% 15.58/10.82 inference(modus_ponens,[status(thm)],[21095, 21094])).
% 15.58/10.82 tff(21097,plain,
% 15.58/10.82 ((~v102(constB160)) <=> v104(constB160)),
% 15.58/10.82 inference(unit_resolution,[status(thm)],[21096, 21082, 512])).
% 15.58/10.82 tff(21098,plain,
% 15.58/10.82 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB159, constB160)) | (v104(constB160) <=> v1(constB159)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | (~nextState(constB159, constB160)) | (v104(constB160) <=> v1(constB159)))),
% 15.58/10.82 inference(rewrite,[status(thm)],[])).
% 15.58/10.82 tff(21099,plain,
% 15.58/10.82 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB159, constB160)) | (v104(constB160) <=> v1(constB159)))),
% 15.58/10.82 inference(quant_inst,[status(thm)],[])).
% 15.58/10.82 tff(21100,plain,
% 15.58/10.82 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | (~nextState(constB159, constB160)) | (v104(constB160) <=> v1(constB159))),
% 15.58/10.82 inference(modus_ponens,[status(thm)],[21099, 21098])).
% 15.58/10.82 tff(21101,plain,
% 15.58/10.83 (v104(constB160) <=> v1(constB159)),
% 15.58/10.83 inference(unit_resolution,[status(thm)],[21100, 21082, 526])).
% 15.58/10.83 tff(21102,plain,
% 15.58/10.83 ((~v1(constB159)) <=> (~v1(constB159))),
% 15.58/10.83 inference(rewrite,[status(thm)],[])).
% 15.58/10.83 tff(21103,axiom,(~v1(constB159)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_159')).
% 15.58/10.83 tff(21104,plain,
% 15.58/10.83 (~v1(constB159)),
% 15.58/10.83 inference(modus_ponens,[status(thm)],[21103, 21102])).
% 15.58/10.83 tff(21105,plain,
% 15.58/10.83 ((~(v104(constB160) <=> v1(constB159))) | (~v104(constB160)) | v1(constB159)),
% 15.58/10.83 inference(tautology,[status(thm)],[])).
% 15.58/10.83 tff(21106,plain,
% 15.58/10.83 ((~(v104(constB160) <=> v1(constB159))) | (~v104(constB160))),
% 15.58/10.83 inference(unit_resolution,[status(thm)],[21105, 21104])).
% 15.58/10.83 tff(21107,plain,
% 15.58/10.83 (~v104(constB160)),
% 15.58/10.83 inference(unit_resolution,[status(thm)],[21106, 21101])).
% 15.58/10.83 tff(21108,plain,
% 15.58/10.83 ((~((~v102(constB160)) <=> v104(constB160))) | v102(constB160) | v104(constB160)),
% 15.58/10.83 inference(tautology,[status(thm)],[])).
% 15.58/10.83 tff(21109,plain,
% 15.58/10.83 (v102(constB160)),
% 15.58/10.83 inference(unit_resolution,[status(thm)],[21108, 21107, 21097])).
% 15.58/10.83 tff(21110,plain,
% 15.58/10.83 (v1(constB160) <=> v1(constB160)),
% 15.58/10.83 inference(rewrite,[status(thm)],[])).
% 15.58/10.83 tff(21111,axiom,(v1(constB160)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_160')).
% 15.58/10.83 tff(21112,plain,
% 15.58/10.83 (v1(constB160)),
% 15.58/10.83 inference(modus_ponens,[status(thm)],[21111, 21110])).
% 15.58/10.83 tff(21113,plain,
% 15.58/10.83 ((~((~v1(constB160)) | (~v102(constB160)))) | (~v1(constB160)) | (~v102(constB160))),
% 15.58/10.83 inference(tautology,[status(thm)],[])).
% 15.58/10.83 tff(21114,plain,
% 15.58/10.83 ((~((~v1(constB160)) | (~v102(constB160)))) | (~v102(constB160))),
% 15.58/10.83 inference(unit_resolution,[status(thm)],[21113, 21112])).
% 15.58/10.83 tff(21115,plain,
% 15.58/10.83 (~((~v1(constB160)) | (~v102(constB160)))),
% 15.58/10.83 inference(unit_resolution,[status(thm)],[21114, 21109])).
% 15.58/10.83 tff(21116,plain,
% 15.58/10.83 ((~(v101(constB160) <=> (~((~v1(constB160)) | (~v102(constB160)))))) | v101(constB160) | ((~v1(constB160)) | (~v102(constB160)))),
% 15.58/10.83 inference(tautology,[status(thm)],[])).
% 15.58/10.83 tff(21117,plain,
% 15.58/10.83 (v101(constB160)),
% 15.58/10.83 inference(unit_resolution,[status(thm)],[21116, 21115, 21093])).
% 15.58/10.83 tff(21118,plain,
% 15.58/10.83 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | ((~nextState(constB159, constB160)) | (v110(constB160) <=> v108(constB159)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | (~nextState(constB159, constB160)) | (v110(constB160) <=> v108(constB159)))),
% 15.58/10.83 inference(rewrite,[status(thm)],[])).
% 15.58/10.83 tff(21119,plain,
% 15.58/10.83 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | ((~nextState(constB159, constB160)) | (v110(constB160) <=> v108(constB159)))),
% 15.58/10.83 inference(quant_inst,[status(thm)],[])).
% 15.58/10.83 tff(21120,plain,
% 15.58/10.83 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | (~nextState(constB159, constB160)) | (v110(constB160) <=> v108(constB159))),
% 15.58/10.83 inference(modus_ponens,[status(thm)],[21119, 21118])).
% 15.58/10.83 tff(21121,plain,
% 15.58/10.83 (v110(constB160) <=> v108(constB159)),
% 15.58/10.83 inference(unit_resolution,[status(thm)],[21120, 21082, 556])).
% 15.58/10.83 tff(21122,plain,
% 15.58/10.83 ((~![VarCurr: $i] : (v108(VarCurr) <=> (v111(VarCurr) | v112(VarCurr)))) | (v108(constB159) <=> (v111(constB159) | v112(constB159)))),
% 15.58/10.83 inference(quant_inst,[status(thm)],[])).
% 15.58/10.83 tff(21123,plain,
% 15.58/10.83 (v108(constB159) <=> (v111(constB159) | v112(constB159))),
% 15.58/10.83 inference(unit_resolution,[status(thm)],[21122, 567])).
% 15.58/10.83 tff(21124,plain,
% 15.58/10.83 ((~![VarCurr: $i] : (v112(VarCurr) <=> (~((~v113(VarCurr)) | (~v126(VarCurr)))))) | (v112(constB159) <=> (~((~v113(constB159)) | (~v126(constB159)))))),
% 15.58/10.83 inference(quant_inst,[status(thm)],[])).
% 15.58/10.83 tff(21125,plain,
% 15.58/10.83 (v112(constB159) <=> (~((~v113(constB159)) | (~v126(constB159))))),
% 15.58/10.83 inference(unit_resolution,[status(thm)],[21124, 579])).
% 15.58/10.83 tff(21126,plain,
% 15.58/10.83 ((~![VarCurr: $i] : (v113(VarCurr) <=> (v114(VarCurr) | v125(VarCurr)))) | (v113(constB159) <=> (v114(constB159) | v125(constB159)))),
% 15.58/10.83 inference(quant_inst,[status(thm)],[])).
% 15.58/10.83 tff(21127,plain,
% 15.58/10.83 (v113(constB159) <=> (v114(constB159) | v125(constB159))),
% 15.58/10.83 inference(unit_resolution,[status(thm)],[21126, 588])).
% 15.58/10.83 tff(21128,plain,
% 15.58/10.83 ((~![VarCurr: $i] : (v114(VarCurr) <=> (v115(VarCurr) | v124(VarCurr)))) | (v114(constB159) <=> (v115(constB159) | v124(constB159)))),
% 15.58/10.83 inference(quant_inst,[status(thm)],[])).
% 15.58/10.83 tff(21129,plain,
% 15.58/10.83 (v114(constB159) <=> (v115(constB159) | v124(constB159))),
% 15.58/10.83 inference(unit_resolution,[status(thm)],[21128, 597])).
% 15.58/10.83 tff(21130,plain,
% 15.58/10.83 ((~![VarCurr: $i] : (v115(VarCurr) <=> (v116(VarCurr) | v123(VarCurr)))) | (v115(constB159) <=> (v116(constB159) | v123(constB159)))),
% 15.58/10.83 inference(quant_inst,[status(thm)],[])).
% 15.58/10.83 tff(21131,plain,
% 15.58/10.83 (v115(constB159) <=> (v116(constB159) | v123(constB159))),
% 15.58/10.83 inference(unit_resolution,[status(thm)],[21130, 606])).
% 15.58/10.83 tff(21132,plain,
% 15.58/10.83 ((~![VarCurr: $i] : (v116(VarCurr) <=> (v117(VarCurr) | v122(VarCurr)))) | (v116(constB159) <=> (v117(constB159) | v122(constB159)))),
% 15.58/10.83 inference(quant_inst,[status(thm)],[])).
% 15.58/10.83 tff(21133,plain,
% 15.58/10.83 (v116(constB159) <=> (v117(constB159) | v122(constB159))),
% 15.58/10.83 inference(unit_resolution,[status(thm)],[21132, 719])).
% 15.58/10.83 tff(21134,plain,
% 15.58/10.83 ((~![VarCurr: $i] : (v117(VarCurr) <=> (v118(VarCurr) | v121(VarCurr)))) | (v117(constB159) <=> (v118(constB159) | v121(constB159)))),
% 15.58/10.83 inference(quant_inst,[status(thm)],[])).
% 15.58/10.83 tff(21135,plain,
% 15.58/10.83 (v117(constB159) <=> (v118(constB159) | v121(constB159))),
% 15.58/10.83 inference(unit_resolution,[status(thm)],[21134, 834])).
% 15.58/10.83 tff(21136,plain,
% 15.58/10.83 (((~![VarCurr: $i] : (v121(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex1)))))) | (v121(constB159) <=> (~(v90(constB159, bitIndex2) | (~v90(constB159, bitIndex1)) | v90(constB159, bitIndex0))))) <=> ((~![VarCurr: $i] : (v121(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex1)))))) | (v121(constB159) <=> (~(v90(constB159, bitIndex2) | (~v90(constB159, bitIndex1)) | v90(constB159, bitIndex0)))))),
% 15.58/10.83 inference(rewrite,[status(thm)],[])).
% 15.58/10.83 tff(21137,plain,
% 15.58/10.83 ((v121(constB159) <=> (~(v90(constB159, bitIndex0) | v90(constB159, bitIndex2) | (~v90(constB159, bitIndex1))))) <=> (v121(constB159) <=> (~(v90(constB159, bitIndex2) | (~v90(constB159, bitIndex1)) | v90(constB159, bitIndex0))))),
% 15.58/10.83 inference(rewrite,[status(thm)],[])).
% 15.58/10.83 tff(21138,plain,
% 15.58/10.83 (((~![VarCurr: $i] : (v121(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex1)))))) | (v121(constB159) <=> (~(v90(constB159, bitIndex0) | v90(constB159, bitIndex2) | (~v90(constB159, bitIndex1)))))) <=> ((~![VarCurr: $i] : (v121(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex1)))))) | (v121(constB159) <=> (~(v90(constB159, bitIndex2) | (~v90(constB159, bitIndex1)) | v90(constB159, bitIndex0)))))),
% 15.58/10.83 inference(monotonicity,[status(thm)],[21137])).
% 15.58/10.83 tff(21139,plain,
% 15.58/10.83 (((~![VarCurr: $i] : (v121(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex1)))))) | (v121(constB159) <=> (~(v90(constB159, bitIndex0) | v90(constB159, bitIndex2) | (~v90(constB159, bitIndex1)))))) <=> ((~![VarCurr: $i] : (v121(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex1)))))) | (v121(constB159) <=> (~(v90(constB159, bitIndex2) | (~v90(constB159, bitIndex1)) | v90(constB159, bitIndex0)))))),
% 15.58/10.83 inference(transitivity,[status(thm)],[21138, 21136])).
% 15.58/10.83 tff(21140,plain,
% 15.58/10.83 ((~![VarCurr: $i] : (v121(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex1)))))) | (v121(constB159) <=> (~(v90(constB159, bitIndex0) | v90(constB159, bitIndex2) | (~v90(constB159, bitIndex1)))))),
% 15.58/10.83 inference(quant_inst,[status(thm)],[])).
% 15.58/10.83 tff(21141,plain,
% 15.58/10.83 ((~![VarCurr: $i] : (v121(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex1)))))) | (v121(constB159) <=> (~(v90(constB159, bitIndex2) | (~v90(constB159, bitIndex1)) | v90(constB159, bitIndex0))))),
% 15.58/10.83 inference(modus_ponens,[status(thm)],[21140, 21139])).
% 15.58/10.83 tff(21142,plain,
% 15.58/10.83 (v121(constB159) <=> (~(v90(constB159, bitIndex2) | (~v90(constB159, bitIndex1)) | v90(constB159, bitIndex0)))),
% 15.58/10.83 inference(unit_resolution,[status(thm)],[21141, 849])).
% 15.58/10.83 tff(21143,plain,
% 15.58/10.83 (nextState(constB158, constB159) <=> nextState(constB158, constB159)),
% 15.58/10.83 inference(rewrite,[status(thm)],[])).
% 15.58/10.83 tff(21144,axiom,(nextState(constB158, constB159)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_158')).
% 15.58/10.83 tff(21145,plain,
% 15.58/10.83 (nextState(constB158, constB159)),
% 15.58/10.83 inference(modus_ponens,[status(thm)],[21144, 21143])).
% 15.58/10.83 tff(21146,plain,
% 15.58/10.83 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB158, constB159)) | (v100(constB159) <=> (~((~v101(constB159)) | (~v110(constB159))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB158, constB159)) | (v100(constB159) <=> (~((~v101(constB159)) | (~v110(constB159))))))),
% 15.58/10.83 inference(rewrite,[status(thm)],[])).
% 15.58/10.83 tff(21147,plain,
% 15.58/10.83 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB158, constB159)) | (v100(constB159) <=> (~((~v101(constB159)) | (~v110(constB159))))))),
% 15.58/10.83 inference(quant_inst,[status(thm)],[])).
% 15.58/10.83 tff(21148,plain,
% 15.58/10.83 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB158, constB159)) | (v100(constB159) <=> (~((~v101(constB159)) | (~v110(constB159)))))),
% 15.58/10.83 inference(modus_ponens,[status(thm)],[21147, 21146])).
% 15.58/10.83 tff(21149,plain,
% 15.58/10.83 (v100(constB159) <=> (~((~v101(constB159)) | (~v110(constB159))))),
% 15.58/10.83 inference(unit_resolution,[status(thm)],[21148, 21145, 430])).
% 15.58/10.83 tff(21150,plain,
% 15.58/10.83 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB158, constB159)) | (v101(constB159) <=> (~((~v1(constB159)) | (~v102(constB159))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB158, constB159)) | (v101(constB159) <=> (~((~v1(constB159)) | (~v102(constB159))))))),
% 15.58/10.83 inference(rewrite,[status(thm)],[])).
% 15.58/10.83 tff(21151,plain,
% 15.58/10.83 (((~nextState(constB158, constB159)) | (v101(constB159) <=> (~((~v102(constB159)) | (~v1(constB159)))))) <=> ((~nextState(constB158, constB159)) | (v101(constB159) <=> (~((~v1(constB159)) | (~v102(constB159))))))),
% 15.58/10.83 inference(rewrite,[status(thm)],[])).
% 15.58/10.83 tff(21152,plain,
% 15.58/10.83 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB158, constB159)) | (v101(constB159) <=> (~((~v102(constB159)) | (~v1(constB159))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB158, constB159)) | (v101(constB159) <=> (~((~v1(constB159)) | (~v102(constB159)))))))),
% 15.58/10.83 inference(monotonicity,[status(thm)],[21151])).
% 15.58/10.83 tff(21153,plain,
% 15.58/10.83 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB158, constB159)) | (v101(constB159) <=> (~((~v102(constB159)) | (~v1(constB159))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB158, constB159)) | (v101(constB159) <=> (~((~v1(constB159)) | (~v102(constB159))))))),
% 15.58/10.83 inference(transitivity,[status(thm)],[21152, 21150])).
% 15.58/10.83 tff(21154,plain,
% 15.58/10.83 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB158, constB159)) | (v101(constB159) <=> (~((~v102(constB159)) | (~v1(constB159))))))),
% 15.58/10.83 inference(quant_inst,[status(thm)],[])).
% 15.58/10.83 tff(21155,plain,
% 15.58/10.83 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB158, constB159)) | (v101(constB159) <=> (~((~v1(constB159)) | (~v102(constB159)))))),
% 15.58/10.83 inference(modus_ponens,[status(thm)],[21154, 21153])).
% 15.58/10.83 tff(21156,plain,
% 15.58/10.83 (v101(constB159) <=> (~((~v1(constB159)) | (~v102(constB159))))),
% 15.58/10.83 inference(unit_resolution,[status(thm)],[21155, 21145, 450])).
% 15.58/10.83 tff(21157,plain,
% 15.58/10.83 (((~v1(constB159)) | (~v102(constB159))) | v1(constB159)),
% 15.58/10.83 inference(tautology,[status(thm)],[])).
% 15.58/10.83 tff(21158,plain,
% 15.58/10.83 ((~v1(constB159)) | (~v102(constB159))),
% 15.58/10.83 inference(unit_resolution,[status(thm)],[21157, 21104])).
% 15.58/10.83 tff(21159,plain,
% 15.58/10.83 ((~(v101(constB159) <=> (~((~v1(constB159)) | (~v102(constB159)))))) | (~v101(constB159)) | (~((~v1(constB159)) | (~v102(constB159))))),
% 15.58/10.83 inference(tautology,[status(thm)],[])).
% 15.58/10.83 tff(21160,plain,
% 15.58/10.83 ((~(v101(constB159) <=> (~((~v1(constB159)) | (~v102(constB159)))))) | (~v101(constB159))),
% 15.58/10.83 inference(unit_resolution,[status(thm)],[21159, 21158])).
% 15.58/10.83 tff(21161,plain,
% 15.58/10.83 (~v101(constB159)),
% 15.58/10.83 inference(unit_resolution,[status(thm)],[21160, 21156])).
% 15.58/10.83 tff(21162,plain,
% 15.58/10.83 (((~v101(constB159)) | (~v110(constB159))) | v101(constB159)),
% 15.58/10.83 inference(tautology,[status(thm)],[])).
% 15.58/10.83 tff(21163,plain,
% 15.58/10.83 ((~v101(constB159)) | (~v110(constB159))),
% 15.58/10.83 inference(unit_resolution,[status(thm)],[21162, 21161])).
% 15.58/10.83 tff(21164,plain,
% 15.58/10.83 ((~(v100(constB159) <=> (~((~v101(constB159)) | (~v110(constB159)))))) | (~v100(constB159)) | (~((~v101(constB159)) | (~v110(constB159))))),
% 15.58/10.83 inference(tautology,[status(thm)],[])).
% 15.58/10.83 tff(21165,plain,
% 15.58/10.83 (~v100(constB159)),
% 15.58/10.83 inference(unit_resolution,[status(thm)],[21164, 21163, 21149])).
% 15.58/10.83 tff(21166,plain,
% 15.58/10.83 (((~![VarCurr: $i, VarNext: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v90(VarCurr, B))))) | (v100(constB159) | (~nextState(constB158, constB159)) | ![B: $i] : ((~less_3(B)) | (v90(constB159, B) <=> v90(constB158, B))))) <=> ((~![VarCurr: $i, VarNext: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v90(VarCurr, B))))) | v100(constB159) | (~nextState(constB158, constB159)) | ![B: $i] : ((~less_3(B)) | (v90(constB159, B) <=> v90(constB158, B))))),
% 15.58/10.83 inference(rewrite,[status(thm)],[])).
% 15.58/10.83 tff(21167,plain,
% 15.58/10.83 ((~![VarCurr: $i, VarNext: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v90(VarCurr, B))))) | (v100(constB159) | (~nextState(constB158, constB159)) | ![B: $i] : ((~less_3(B)) | (v90(constB159, B) <=> v90(constB158, B))))),
% 15.58/10.83 inference(quant_inst,[status(thm)],[])).
% 15.58/10.83 tff(21168,plain,
% 15.58/10.83 ((~![VarCurr: $i, VarNext: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v90(VarCurr, B))))) | v100(constB159) | (~nextState(constB158, constB159)) | ![B: $i] : ((~less_3(B)) | (v90(constB159, B) <=> v90(constB158, B)))),
% 15.58/10.83 inference(modus_ponens,[status(thm)],[21167, 21166])).
% 15.58/10.83 tff(21169,plain,
% 15.58/10.83 (v100(constB159) | ![B: $i] : ((~less_3(B)) | (v90(constB159, B) <=> v90(constB158, B)))),
% 15.58/10.83 inference(unit_resolution,[status(thm)],[21168, 21145, 479])).
% 15.58/10.83 tff(21170,plain,
% 15.58/10.83 (![B: $i] : ((~less_3(B)) | (v90(constB159, B) <=> v90(constB158, B)))),
% 15.58/10.83 inference(unit_resolution,[status(thm)],[21169, 21165])).
% 15.58/10.83 tff(21171,plain,
% 15.58/10.83 (((~![B: $i] : ((~less_3(B)) | (v90(constB159, B) <=> v90(constB158, B)))) | ((~less_3(bitIndex2)) | (v90(constB159, bitIndex2) <=> v90(constB158, bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v90(constB159, B) <=> v90(constB158, B)))) | (~less_3(bitIndex2)) | (v90(constB159, bitIndex2) <=> v90(constB158, bitIndex2)))),
% 15.58/10.83 inference(rewrite,[status(thm)],[])).
% 15.58/10.83 tff(21172,plain,
% 15.58/10.83 ((~![B: $i] : ((~less_3(B)) | (v90(constB159, B) <=> v90(constB158, B)))) | ((~less_3(bitIndex2)) | (v90(constB159, bitIndex2) <=> v90(constB158, bitIndex2)))),
% 15.58/10.83 inference(quant_inst,[status(thm)],[])).
% 15.58/10.84 tff(21173,plain,
% 15.58/10.84 ((~![B: $i] : ((~less_3(B)) | (v90(constB159, B) <=> v90(constB158, B)))) | (~less_3(bitIndex2)) | (v90(constB159, bitIndex2) <=> v90(constB158, bitIndex2))),
% 15.58/10.84 inference(modus_ponens,[status(thm)],[21172, 21171])).
% 15.58/10.84 tff(21174,plain,
% 15.58/10.84 (v90(constB159, bitIndex2) <=> v90(constB158, bitIndex2)),
% 15.58/10.84 inference(unit_resolution,[status(thm)],[21173, 413, 21170])).
% 15.58/10.84 tff(21175,plain,
% 15.58/10.84 (nextState(constB157, constB158) <=> nextState(constB157, constB158)),
% 15.58/10.84 inference(rewrite,[status(thm)],[])).
% 15.58/10.84 tff(21176,axiom,(nextState(constB157, constB158)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_157')).
% 15.58/10.84 tff(21177,plain,
% 15.58/10.84 (nextState(constB157, constB158)),
% 15.58/10.84 inference(modus_ponens,[status(thm)],[21176, 21175])).
% 15.58/10.84 tff(21178,plain,
% 15.58/10.84 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB157, constB158)) | (v100(constB158) <=> (~((~v101(constB158)) | (~v110(constB158))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB157, constB158)) | (v100(constB158) <=> (~((~v101(constB158)) | (~v110(constB158))))))),
% 15.58/10.84 inference(rewrite,[status(thm)],[])).
% 15.58/10.84 tff(21179,plain,
% 15.58/10.84 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB157, constB158)) | (v100(constB158) <=> (~((~v101(constB158)) | (~v110(constB158))))))),
% 15.58/10.84 inference(quant_inst,[status(thm)],[])).
% 15.58/10.84 tff(21180,plain,
% 15.58/10.84 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB157, constB158)) | (v100(constB158) <=> (~((~v101(constB158)) | (~v110(constB158)))))),
% 15.58/10.84 inference(modus_ponens,[status(thm)],[21179, 21178])).
% 15.58/10.84 tff(21181,plain,
% 15.58/10.84 (v100(constB158) <=> (~((~v101(constB158)) | (~v110(constB158))))),
% 15.58/10.84 inference(unit_resolution,[status(thm)],[21180, 21177, 430])).
% 15.58/10.84 tff(21182,plain,
% 15.58/10.84 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB157, constB158)) | (v101(constB158) <=> (~((~v1(constB158)) | (~v102(constB158))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB157, constB158)) | (v101(constB158) <=> (~((~v1(constB158)) | (~v102(constB158))))))),
% 15.58/10.84 inference(rewrite,[status(thm)],[])).
% 15.58/10.84 tff(21183,plain,
% 15.58/10.84 (((~nextState(constB157, constB158)) | (v101(constB158) <=> (~((~v102(constB158)) | (~v1(constB158)))))) <=> ((~nextState(constB157, constB158)) | (v101(constB158) <=> (~((~v1(constB158)) | (~v102(constB158))))))),
% 15.58/10.84 inference(rewrite,[status(thm)],[])).
% 15.58/10.84 tff(21184,plain,
% 15.58/10.84 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB157, constB158)) | (v101(constB158) <=> (~((~v102(constB158)) | (~v1(constB158))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB157, constB158)) | (v101(constB158) <=> (~((~v1(constB158)) | (~v102(constB158)))))))),
% 15.58/10.84 inference(monotonicity,[status(thm)],[21183])).
% 15.58/10.84 tff(21185,plain,
% 15.58/10.84 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB157, constB158)) | (v101(constB158) <=> (~((~v102(constB158)) | (~v1(constB158))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB157, constB158)) | (v101(constB158) <=> (~((~v1(constB158)) | (~v102(constB158))))))),
% 15.58/10.84 inference(transitivity,[status(thm)],[21184, 21182])).
% 15.58/10.84 tff(21186,plain,
% 15.58/10.84 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB157, constB158)) | (v101(constB158) <=> (~((~v102(constB158)) | (~v1(constB158))))))),
% 15.58/10.85 inference(quant_inst,[status(thm)],[])).
% 15.58/10.85 tff(21187,plain,
% 15.58/10.85 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB157, constB158)) | (v101(constB158) <=> (~((~v1(constB158)) | (~v102(constB158)))))),
% 15.58/10.85 inference(modus_ponens,[status(thm)],[21186, 21185])).
% 15.58/10.85 tff(21188,plain,
% 15.58/10.85 (v101(constB158) <=> (~((~v1(constB158)) | (~v102(constB158))))),
% 15.58/10.85 inference(unit_resolution,[status(thm)],[21187, 21177, 450])).
% 15.58/10.85 tff(21189,plain,
% 15.58/10.85 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | ((~nextState(constB157, constB158)) | ((~v102(constB158)) <=> v104(constB158)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | (~nextState(constB157, constB158)) | ((~v102(constB158)) <=> v104(constB158)))),
% 15.58/10.85 inference(rewrite,[status(thm)],[])).
% 15.58/10.85 tff(21190,plain,
% 15.58/10.85 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | ((~nextState(constB157, constB158)) | ((~v102(constB158)) <=> v104(constB158)))),
% 15.58/10.85 inference(quant_inst,[status(thm)],[])).
% 15.58/10.85 tff(21191,plain,
% 15.58/10.85 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | (~nextState(constB157, constB158)) | ((~v102(constB158)) <=> v104(constB158))),
% 15.58/10.85 inference(modus_ponens,[status(thm)],[21190, 21189])).
% 15.58/10.85 tff(21192,plain,
% 15.58/10.85 ((~v102(constB158)) <=> v104(constB158)),
% 15.58/10.85 inference(unit_resolution,[status(thm)],[21191, 21177, 512])).
% 15.58/10.85 tff(21193,plain,
% 15.58/10.85 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB157, constB158)) | (v104(constB158) <=> v1(constB157)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | (~nextState(constB157, constB158)) | (v104(constB158) <=> v1(constB157)))),
% 15.58/10.85 inference(rewrite,[status(thm)],[])).
% 15.58/10.85 tff(21194,plain,
% 15.58/10.85 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB157, constB158)) | (v104(constB158) <=> v1(constB157)))),
% 15.58/10.85 inference(quant_inst,[status(thm)],[])).
% 15.58/10.85 tff(21195,plain,
% 15.58/10.85 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | (~nextState(constB157, constB158)) | (v104(constB158) <=> v1(constB157))),
% 15.58/10.85 inference(modus_ponens,[status(thm)],[21194, 21193])).
% 15.58/10.85 tff(21196,plain,
% 15.58/10.85 (v104(constB158) <=> v1(constB157)),
% 15.58/10.85 inference(unit_resolution,[status(thm)],[21195, 21177, 526])).
% 15.58/10.85 tff(21197,plain,
% 15.58/10.85 ((~v1(constB157)) <=> (~v1(constB157))),
% 15.58/10.85 inference(rewrite,[status(thm)],[])).
% 15.58/10.85 tff(21198,axiom,(~v1(constB157)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_157')).
% 15.58/10.85 tff(21199,plain,
% 15.58/10.85 (~v1(constB157)),
% 15.58/10.85 inference(modus_ponens,[status(thm)],[21198, 21197])).
% 15.58/10.85 tff(21200,plain,
% 15.58/10.85 ((~(v104(constB158) <=> v1(constB157))) | (~v104(constB158)) | v1(constB157)),
% 15.58/10.85 inference(tautology,[status(thm)],[])).
% 15.58/10.85 tff(21201,plain,
% 15.58/10.85 ((~(v104(constB158) <=> v1(constB157))) | (~v104(constB158))),
% 15.58/10.85 inference(unit_resolution,[status(thm)],[21200, 21199])).
% 15.58/10.85 tff(21202,plain,
% 15.58/10.85 (~v104(constB158)),
% 15.58/10.85 inference(unit_resolution,[status(thm)],[21201, 21196])).
% 15.58/10.85 tff(21203,plain,
% 15.58/10.85 ((~((~v102(constB158)) <=> v104(constB158))) | v102(constB158) | v104(constB158)),
% 15.58/10.85 inference(tautology,[status(thm)],[])).
% 15.58/10.85 tff(21204,plain,
% 15.58/10.85 (v102(constB158)),
% 15.58/10.85 inference(unit_resolution,[status(thm)],[21203, 21202, 21192])).
% 15.58/10.85 tff(21205,plain,
% 15.58/10.85 (v1(constB158) <=> v1(constB158)),
% 15.58/10.85 inference(rewrite,[status(thm)],[])).
% 15.58/10.85 tff(21206,axiom,(v1(constB158)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_158')).
% 15.58/10.85 tff(21207,plain,
% 15.58/10.85 (v1(constB158)),
% 15.58/10.85 inference(modus_ponens,[status(thm)],[21206, 21205])).
% 15.58/10.85 tff(21208,plain,
% 15.58/10.85 ((~((~v1(constB158)) | (~v102(constB158)))) | (~v1(constB158)) | (~v102(constB158))),
% 15.58/10.85 inference(tautology,[status(thm)],[])).
% 15.58/10.85 tff(21209,plain,
% 15.58/10.85 ((~((~v1(constB158)) | (~v102(constB158)))) | (~v102(constB158))),
% 15.58/10.85 inference(unit_resolution,[status(thm)],[21208, 21207])).
% 15.58/10.85 tff(21210,plain,
% 15.58/10.85 (~((~v1(constB158)) | (~v102(constB158)))),
% 15.58/10.85 inference(unit_resolution,[status(thm)],[21209, 21204])).
% 15.58/10.85 tff(21211,plain,
% 15.58/10.85 ((~(v101(constB158) <=> (~((~v1(constB158)) | (~v102(constB158)))))) | v101(constB158) | ((~v1(constB158)) | (~v102(constB158)))),
% 15.58/10.85 inference(tautology,[status(thm)],[])).
% 15.58/10.85 tff(21212,plain,
% 15.58/10.85 (v101(constB158)),
% 15.58/10.85 inference(unit_resolution,[status(thm)],[21211, 21210, 21188])).
% 15.58/10.85 tff(21213,plain,
% 15.58/10.85 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | ((~nextState(constB157, constB158)) | (v110(constB158) <=> v108(constB157)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | (~nextState(constB157, constB158)) | (v110(constB158) <=> v108(constB157)))),
% 15.58/10.85 inference(rewrite,[status(thm)],[])).
% 15.58/10.85 tff(21214,plain,
% 15.58/10.85 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | ((~nextState(constB157, constB158)) | (v110(constB158) <=> v108(constB157)))),
% 15.58/10.85 inference(quant_inst,[status(thm)],[])).
% 15.58/10.85 tff(21215,plain,
% 15.58/10.85 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | (~nextState(constB157, constB158)) | (v110(constB158) <=> v108(constB157))),
% 15.58/10.85 inference(modus_ponens,[status(thm)],[21214, 21213])).
% 15.58/10.85 tff(21216,plain,
% 15.58/10.85 (v110(constB158) <=> v108(constB157)),
% 15.58/10.85 inference(unit_resolution,[status(thm)],[21215, 21177, 556])).
% 15.58/10.85 tff(21217,plain,
% 15.58/10.85 ((~![VarCurr: $i] : (v108(VarCurr) <=> (v111(VarCurr) | v112(VarCurr)))) | (v108(constB157) <=> (v111(constB157) | v112(constB157)))),
% 15.58/10.85 inference(quant_inst,[status(thm)],[])).
% 15.58/10.85 tff(21218,plain,
% 15.58/10.85 (v108(constB157) <=> (v111(constB157) | v112(constB157))),
% 15.58/10.85 inference(unit_resolution,[status(thm)],[21217, 567])).
% 15.58/10.85 tff(21219,plain,
% 15.58/10.85 ((~![VarCurr: $i] : (v112(VarCurr) <=> (~((~v113(VarCurr)) | (~v126(VarCurr)))))) | (v112(constB157) <=> (~((~v113(constB157)) | (~v126(constB157)))))),
% 15.58/10.85 inference(quant_inst,[status(thm)],[])).
% 15.58/10.85 tff(21220,plain,
% 15.58/10.85 (v112(constB157) <=> (~((~v113(constB157)) | (~v126(constB157))))),
% 15.58/10.85 inference(unit_resolution,[status(thm)],[21219, 579])).
% 15.58/10.85 tff(21221,plain,
% 15.58/10.85 ((~![VarCurr: $i] : (v113(VarCurr) <=> (v114(VarCurr) | v125(VarCurr)))) | (v113(constB157) <=> (v114(constB157) | v125(constB157)))),
% 15.58/10.85 inference(quant_inst,[status(thm)],[])).
% 15.58/10.85 tff(21222,plain,
% 15.58/10.85 (v113(constB157) <=> (v114(constB157) | v125(constB157))),
% 15.58/10.85 inference(unit_resolution,[status(thm)],[21221, 588])).
% 15.58/10.85 tff(21223,plain,
% 15.58/10.85 ((~![VarCurr: $i] : (v114(VarCurr) <=> (v115(VarCurr) | v124(VarCurr)))) | (v114(constB157) <=> (v115(constB157) | v124(constB157)))),
% 15.58/10.85 inference(quant_inst,[status(thm)],[])).
% 15.58/10.85 tff(21224,plain,
% 15.58/10.85 (v114(constB157) <=> (v115(constB157) | v124(constB157))),
% 15.58/10.85 inference(unit_resolution,[status(thm)],[21223, 597])).
% 15.58/10.85 tff(21225,plain,
% 15.58/10.85 ((~![VarCurr: $i] : (v115(VarCurr) <=> (v116(VarCurr) | v123(VarCurr)))) | (v115(constB157) <=> (v116(constB157) | v123(constB157)))),
% 15.58/10.85 inference(quant_inst,[status(thm)],[])).
% 15.58/10.85 tff(21226,plain,
% 15.58/10.85 (v115(constB157) <=> (v116(constB157) | v123(constB157))),
% 15.58/10.85 inference(unit_resolution,[status(thm)],[21225, 606])).
% 15.58/10.85 tff(21227,plain,
% 15.58/10.85 ((~![VarCurr: $i] : (v116(VarCurr) <=> (v117(VarCurr) | v122(VarCurr)))) | (v116(constB157) <=> (v117(constB157) | v122(constB157)))),
% 15.58/10.85 inference(quant_inst,[status(thm)],[])).
% 15.58/10.85 tff(21228,plain,
% 15.58/10.85 (v116(constB157) <=> (v117(constB157) | v122(constB157))),
% 15.58/10.85 inference(unit_resolution,[status(thm)],[21227, 719])).
% 15.58/10.85 tff(21229,plain,
% 15.58/10.85 ((~![VarCurr: $i] : (v117(VarCurr) <=> (v118(VarCurr) | v121(VarCurr)))) | (v117(constB157) <=> (v118(constB157) | v121(constB157)))),
% 15.58/10.85 inference(quant_inst,[status(thm)],[])).
% 15.58/10.85 tff(21230,plain,
% 15.58/10.85 (v117(constB157) <=> (v118(constB157) | v121(constB157))),
% 15.58/10.85 inference(unit_resolution,[status(thm)],[21229, 834])).
% 15.58/10.85 tff(21231,plain,
% 15.58/10.85 ((~![VarCurr: $i] : (v118(VarCurr) <=> (v119(VarCurr) | v120(VarCurr)))) | (v118(constB157) <=> (v119(constB157) | v120(constB157)))),
% 15.58/10.85 inference(quant_inst,[status(thm)],[])).
% 15.58/10.85 tff(21232,plain,
% 15.58/10.85 (v118(constB157) <=> (v119(constB157) | v120(constB157))),
% 15.58/10.85 inference(unit_resolution,[status(thm)],[21231, 951])).
% 15.58/10.85 tff(21233,plain,
% 15.58/10.85 (((~![VarCurr: $i] : (v120(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)))))) | (v120(constB157) <=> (~(v90(constB157, bitIndex2) | v90(constB157, bitIndex1) | (~v90(constB157, bitIndex0)))))) <=> ((~![VarCurr: $i] : (v120(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)))))) | (v120(constB157) <=> (~(v90(constB157, bitIndex2) | v90(constB157, bitIndex1) | (~v90(constB157, bitIndex0))))))),
% 15.58/10.85 inference(rewrite,[status(thm)],[])).
% 15.58/10.85 tff(21234,plain,
% 15.58/10.85 ((v120(constB157) <=> (~(v90(constB157, bitIndex1) | v90(constB157, bitIndex2) | (~v90(constB157, bitIndex0))))) <=> (v120(constB157) <=> (~(v90(constB157, bitIndex2) | v90(constB157, bitIndex1) | (~v90(constB157, bitIndex0)))))),
% 15.58/10.85 inference(rewrite,[status(thm)],[])).
% 15.58/10.85 tff(21235,plain,
% 15.58/10.85 (((~![VarCurr: $i] : (v120(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)))))) | (v120(constB157) <=> (~(v90(constB157, bitIndex1) | v90(constB157, bitIndex2) | (~v90(constB157, bitIndex0)))))) <=> ((~![VarCurr: $i] : (v120(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)))))) | (v120(constB157) <=> (~(v90(constB157, bitIndex2) | v90(constB157, bitIndex1) | (~v90(constB157, bitIndex0))))))),
% 15.58/10.85 inference(monotonicity,[status(thm)],[21234])).
% 15.58/10.85 tff(21236,plain,
% 15.58/10.85 (((~![VarCurr: $i] : (v120(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)))))) | (v120(constB157) <=> (~(v90(constB157, bitIndex1) | v90(constB157, bitIndex2) | (~v90(constB157, bitIndex0)))))) <=> ((~![VarCurr: $i] : (v120(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)))))) | (v120(constB157) <=> (~(v90(constB157, bitIndex2) | v90(constB157, bitIndex1) | (~v90(constB157, bitIndex0))))))),
% 15.58/10.85 inference(transitivity,[status(thm)],[21235, 21233])).
% 15.58/10.85 tff(21237,plain,
% 15.58/10.85 ((~![VarCurr: $i] : (v120(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)))))) | (v120(constB157) <=> (~(v90(constB157, bitIndex1) | v90(constB157, bitIndex2) | (~v90(constB157, bitIndex0)))))),
% 15.58/10.85 inference(quant_inst,[status(thm)],[])).
% 15.58/10.85 tff(21238,plain,
% 15.58/10.85 ((~![VarCurr: $i] : (v120(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)))))) | (v120(constB157) <=> (~(v90(constB157, bitIndex2) | v90(constB157, bitIndex1) | (~v90(constB157, bitIndex0)))))),
% 15.58/10.85 inference(modus_ponens,[status(thm)],[21237, 21236])).
% 15.58/10.85 tff(21239,plain,
% 15.58/10.85 (v120(constB157) <=> (~(v90(constB157, bitIndex2) | v90(constB157, bitIndex1) | (~v90(constB157, bitIndex0))))),
% 15.58/10.85 inference(unit_resolution,[status(thm)],[21238, 966])).
% 15.58/10.85 tff(21240,plain,
% 15.58/10.85 (nextState(constB156, constB157) <=> nextState(constB156, constB157)),
% 15.58/10.85 inference(rewrite,[status(thm)],[])).
% 15.58/10.85 tff(21241,axiom,(nextState(constB156, constB157)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_156')).
% 15.58/10.85 tff(21242,plain,
% 15.58/10.85 (nextState(constB156, constB157)),
% 15.58/10.85 inference(modus_ponens,[status(thm)],[21241, 21240])).
% 15.58/10.85 tff(21243,plain,
% 15.58/10.85 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB156, constB157)) | (v100(constB157) <=> (~((~v101(constB157)) | (~v110(constB157))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB156, constB157)) | (v100(constB157) <=> (~((~v101(constB157)) | (~v110(constB157))))))),
% 15.58/10.85 inference(rewrite,[status(thm)],[])).
% 15.58/10.85 tff(21244,plain,
% 15.58/10.85 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB156, constB157)) | (v100(constB157) <=> (~((~v101(constB157)) | (~v110(constB157))))))),
% 15.58/10.85 inference(quant_inst,[status(thm)],[])).
% 15.58/10.85 tff(21245,plain,
% 15.58/10.85 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB156, constB157)) | (v100(constB157) <=> (~((~v101(constB157)) | (~v110(constB157)))))),
% 15.58/10.85 inference(modus_ponens,[status(thm)],[21244, 21243])).
% 15.58/10.85 tff(21246,plain,
% 15.58/10.85 (v100(constB157) <=> (~((~v101(constB157)) | (~v110(constB157))))),
% 15.58/10.85 inference(unit_resolution,[status(thm)],[21245, 21242, 430])).
% 15.58/10.85 tff(21247,plain,
% 15.58/10.85 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB156, constB157)) | (v101(constB157) <=> (~((~v1(constB157)) | (~v102(constB157))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB156, constB157)) | (v101(constB157) <=> (~((~v1(constB157)) | (~v102(constB157))))))),
% 15.58/10.85 inference(rewrite,[status(thm)],[])).
% 15.58/10.85 tff(21248,plain,
% 15.58/10.85 (((~nextState(constB156, constB157)) | (v101(constB157) <=> (~((~v102(constB157)) | (~v1(constB157)))))) <=> ((~nextState(constB156, constB157)) | (v101(constB157) <=> (~((~v1(constB157)) | (~v102(constB157))))))),
% 15.58/10.85 inference(rewrite,[status(thm)],[])).
% 15.58/10.85 tff(21249,plain,
% 15.58/10.85 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB156, constB157)) | (v101(constB157) <=> (~((~v102(constB157)) | (~v1(constB157))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB156, constB157)) | (v101(constB157) <=> (~((~v1(constB157)) | (~v102(constB157)))))))),
% 15.58/10.85 inference(monotonicity,[status(thm)],[21248])).
% 15.58/10.85 tff(21250,plain,
% 15.58/10.85 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB156, constB157)) | (v101(constB157) <=> (~((~v102(constB157)) | (~v1(constB157))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB156, constB157)) | (v101(constB157) <=> (~((~v1(constB157)) | (~v102(constB157))))))),
% 15.58/10.85 inference(transitivity,[status(thm)],[21249, 21247])).
% 15.58/10.85 tff(21251,plain,
% 15.58/10.85 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB156, constB157)) | (v101(constB157) <=> (~((~v102(constB157)) | (~v1(constB157))))))),
% 15.58/10.85 inference(quant_inst,[status(thm)],[])).
% 15.58/10.85 tff(21252,plain,
% 15.58/10.85 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB156, constB157)) | (v101(constB157) <=> (~((~v1(constB157)) | (~v102(constB157)))))),
% 15.58/10.85 inference(modus_ponens,[status(thm)],[21251, 21250])).
% 15.58/10.85 tff(21253,plain,
% 15.58/10.85 (v101(constB157) <=> (~((~v1(constB157)) | (~v102(constB157))))),
% 15.58/10.85 inference(unit_resolution,[status(thm)],[21252, 21242, 450])).
% 15.58/10.85 tff(21254,plain,
% 15.58/10.85 (((~v1(constB157)) | (~v102(constB157))) | v1(constB157)),
% 15.58/10.85 inference(tautology,[status(thm)],[])).
% 15.58/10.85 tff(21255,plain,
% 15.58/10.85 ((~v1(constB157)) | (~v102(constB157))),
% 15.58/10.85 inference(unit_resolution,[status(thm)],[21254, 21199])).
% 15.58/10.85 tff(21256,plain,
% 15.58/10.85 ((~(v101(constB157) <=> (~((~v1(constB157)) | (~v102(constB157)))))) | (~v101(constB157)) | (~((~v1(constB157)) | (~v102(constB157))))),
% 15.58/10.85 inference(tautology,[status(thm)],[])).
% 15.58/10.85 tff(21257,plain,
% 15.58/10.85 ((~(v101(constB157) <=> (~((~v1(constB157)) | (~v102(constB157)))))) | (~v101(constB157))),
% 15.58/10.85 inference(unit_resolution,[status(thm)],[21256, 21255])).
% 15.58/10.85 tff(21258,plain,
% 15.58/10.85 (~v101(constB157)),
% 15.58/10.85 inference(unit_resolution,[status(thm)],[21257, 21253])).
% 15.58/10.85 tff(21259,plain,
% 15.58/10.85 (((~v101(constB157)) | (~v110(constB157))) | v101(constB157)),
% 15.58/10.85 inference(tautology,[status(thm)],[])).
% 15.58/10.85 tff(21260,plain,
% 15.58/10.85 ((~v101(constB157)) | (~v110(constB157))),
% 15.58/10.85 inference(unit_resolution,[status(thm)],[21259, 21258])).
% 15.58/10.85 tff(21261,plain,
% 15.58/10.85 ((~(v100(constB157) <=> (~((~v101(constB157)) | (~v110(constB157)))))) | (~v100(constB157)) | (~((~v101(constB157)) | (~v110(constB157))))),
% 15.58/10.85 inference(tautology,[status(thm)],[])).
% 15.58/10.85 tff(21262,plain,
% 15.58/10.85 (~v100(constB157)),
% 15.58/10.85 inference(unit_resolution,[status(thm)],[21261, 21260, 21246])).
% 15.58/10.85 tff(21263,plain,
% 15.58/10.85 (((~![VarCurr: $i, VarNext: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v90(VarCurr, B))))) | (v100(constB157) | (~nextState(constB156, constB157)) | ![B: $i] : ((~less_3(B)) | (v90(constB157, B) <=> v90(constB156, B))))) <=> ((~![VarCurr: $i, VarNext: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v90(VarCurr, B))))) | v100(constB157) | (~nextState(constB156, constB157)) | ![B: $i] : ((~less_3(B)) | (v90(constB157, B) <=> v90(constB156, B))))),
% 15.58/10.85 inference(rewrite,[status(thm)],[])).
% 15.58/10.85 tff(21264,plain,
% 15.58/10.85 ((~![VarCurr: $i, VarNext: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v90(VarCurr, B))))) | (v100(constB157) | (~nextState(constB156, constB157)) | ![B: $i] : ((~less_3(B)) | (v90(constB157, B) <=> v90(constB156, B))))),
% 15.58/10.85 inference(quant_inst,[status(thm)],[])).
% 15.58/10.85 tff(21265,plain,
% 15.58/10.85 ((~![VarCurr: $i, VarNext: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v90(VarCurr, B))))) | v100(constB157) | (~nextState(constB156, constB157)) | ![B: $i] : ((~less_3(B)) | (v90(constB157, B) <=> v90(constB156, B)))),
% 15.58/10.85 inference(modus_ponens,[status(thm)],[21264, 21263])).
% 15.58/10.85 tff(21266,plain,
% 15.58/10.85 (v100(constB157) | ![B: $i] : ((~less_3(B)) | (v90(constB157, B) <=> v90(constB156, B)))),
% 15.58/10.85 inference(unit_resolution,[status(thm)],[21265, 21242, 479])).
% 15.58/10.85 tff(21267,plain,
% 15.58/10.85 (![B: $i] : ((~less_3(B)) | (v90(constB157, B) <=> v90(constB156, B)))),
% 15.58/10.85 inference(unit_resolution,[status(thm)],[21266, 21262])).
% 15.58/10.85 tff(21268,plain,
% 15.58/10.85 (((~![B: $i] : ((~less_3(B)) | (v90(constB157, B) <=> v90(constB156, B)))) | ((~less_3(bitIndex2)) | (v90(constB157, bitIndex2) <=> v90(constB156, bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v90(constB157, B) <=> v90(constB156, B)))) | (~less_3(bitIndex2)) | (v90(constB157, bitIndex2) <=> v90(constB156, bitIndex2)))),
% 15.58/10.85 inference(rewrite,[status(thm)],[])).
% 15.58/10.85 tff(21269,plain,
% 15.58/10.85 ((~![B: $i] : ((~less_3(B)) | (v90(constB157, B) <=> v90(constB156, B)))) | ((~less_3(bitIndex2)) | (v90(constB157, bitIndex2) <=> v90(constB156, bitIndex2)))),
% 15.58/10.85 inference(quant_inst,[status(thm)],[])).
% 15.58/10.85 tff(21270,plain,
% 15.58/10.85 ((~![B: $i] : ((~less_3(B)) | (v90(constB157, B) <=> v90(constB156, B)))) | (~less_3(bitIndex2)) | (v90(constB157, bitIndex2) <=> v90(constB156, bitIndex2))),
% 15.58/10.85 inference(modus_ponens,[status(thm)],[21269, 21268])).
% 15.58/10.85 tff(21271,plain,
% 15.58/10.85 (v90(constB157, bitIndex2) <=> v90(constB156, bitIndex2)),
% 15.58/10.85 inference(unit_resolution,[status(thm)],[21270, 413, 21267])).
% 15.58/10.85 tff(21272,plain,
% 15.58/10.85 (nextState(constB155, constB156) <=> nextState(constB155, constB156)),
% 15.58/10.85 inference(rewrite,[status(thm)],[])).
% 15.58/10.85 tff(21273,axiom,(nextState(constB155, constB156)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_155')).
% 15.58/10.85 tff(21274,plain,
% 15.58/10.85 (nextState(constB155, constB156)),
% 15.58/10.85 inference(modus_ponens,[status(thm)],[21273, 21272])).
% 15.58/10.85 tff(21275,plain,
% 15.58/10.85 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB155, constB156)) | (v100(constB156) <=> (~((~v101(constB156)) | (~v110(constB156))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB155, constB156)) | (v100(constB156) <=> (~((~v101(constB156)) | (~v110(constB156))))))),
% 15.58/10.85 inference(rewrite,[status(thm)],[])).
% 15.58/10.85 tff(21276,plain,
% 15.58/10.85 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB155, constB156)) | (v100(constB156) <=> (~((~v101(constB156)) | (~v110(constB156))))))),
% 15.58/10.85 inference(quant_inst,[status(thm)],[])).
% 15.58/10.85 tff(21277,plain,
% 15.58/10.85 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB155, constB156)) | (v100(constB156) <=> (~((~v101(constB156)) | (~v110(constB156)))))),
% 15.58/10.85 inference(modus_ponens,[status(thm)],[21276, 21275])).
% 15.58/10.85 tff(21278,plain,
% 15.58/10.85 (v100(constB156) <=> (~((~v101(constB156)) | (~v110(constB156))))),
% 15.58/10.85 inference(unit_resolution,[status(thm)],[21277, 21274, 430])).
% 15.58/10.85 tff(21279,plain,
% 15.58/10.85 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB155, constB156)) | (v101(constB156) <=> (~((~v1(constB156)) | (~v102(constB156))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB155, constB156)) | (v101(constB156) <=> (~((~v1(constB156)) | (~v102(constB156))))))),
% 15.58/10.85 inference(rewrite,[status(thm)],[])).
% 15.58/10.85 tff(21280,plain,
% 15.58/10.85 (((~nextState(constB155, constB156)) | (v101(constB156) <=> (~((~v102(constB156)) | (~v1(constB156)))))) <=> ((~nextState(constB155, constB156)) | (v101(constB156) <=> (~((~v1(constB156)) | (~v102(constB156))))))),
% 15.58/10.85 inference(rewrite,[status(thm)],[])).
% 15.58/10.85 tff(21281,plain,
% 15.58/10.85 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB155, constB156)) | (v101(constB156) <=> (~((~v102(constB156)) | (~v1(constB156))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB155, constB156)) | (v101(constB156) <=> (~((~v1(constB156)) | (~v102(constB156)))))))),
% 15.58/10.85 inference(monotonicity,[status(thm)],[21280])).
% 15.58/10.85 tff(21282,plain,
% 15.58/10.85 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB155, constB156)) | (v101(constB156) <=> (~((~v102(constB156)) | (~v1(constB156))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB155, constB156)) | (v101(constB156) <=> (~((~v1(constB156)) | (~v102(constB156))))))),
% 15.58/10.85 inference(transitivity,[status(thm)],[21281, 21279])).
% 15.58/10.85 tff(21283,plain,
% 15.58/10.85 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB155, constB156)) | (v101(constB156) <=> (~((~v102(constB156)) | (~v1(constB156))))))),
% 15.58/10.85 inference(quant_inst,[status(thm)],[])).
% 15.58/10.85 tff(21284,plain,
% 15.58/10.85 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB155, constB156)) | (v101(constB156) <=> (~((~v1(constB156)) | (~v102(constB156)))))),
% 15.58/10.85 inference(modus_ponens,[status(thm)],[21283, 21282])).
% 15.58/10.85 tff(21285,plain,
% 15.58/10.85 (v101(constB156) <=> (~((~v1(constB156)) | (~v102(constB156))))),
% 15.58/10.85 inference(unit_resolution,[status(thm)],[21284, 21274, 450])).
% 15.58/10.85 tff(21286,plain,
% 15.58/10.85 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | ((~nextState(constB155, constB156)) | ((~v102(constB156)) <=> v104(constB156)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | (~nextState(constB155, constB156)) | ((~v102(constB156)) <=> v104(constB156)))),
% 15.58/10.85 inference(rewrite,[status(thm)],[])).
% 15.58/10.85 tff(21287,plain,
% 15.58/10.85 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | ((~nextState(constB155, constB156)) | ((~v102(constB156)) <=> v104(constB156)))),
% 15.58/10.85 inference(quant_inst,[status(thm)],[])).
% 15.58/10.85 tff(21288,plain,
% 15.58/10.85 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | (~nextState(constB155, constB156)) | ((~v102(constB156)) <=> v104(constB156))),
% 15.58/10.85 inference(modus_ponens,[status(thm)],[21287, 21286])).
% 15.58/10.85 tff(21289,plain,
% 15.58/10.85 ((~v102(constB156)) <=> v104(constB156)),
% 15.58/10.85 inference(unit_resolution,[status(thm)],[21288, 21274, 512])).
% 15.58/10.85 tff(21290,plain,
% 15.58/10.85 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB155, constB156)) | (v104(constB156) <=> v1(constB155)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | (~nextState(constB155, constB156)) | (v104(constB156) <=> v1(constB155)))),
% 15.58/10.85 inference(rewrite,[status(thm)],[])).
% 15.58/10.85 tff(21291,plain,
% 15.58/10.85 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB155, constB156)) | (v104(constB156) <=> v1(constB155)))),
% 15.58/10.85 inference(quant_inst,[status(thm)],[])).
% 15.58/10.85 tff(21292,plain,
% 15.58/10.85 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | (~nextState(constB155, constB156)) | (v104(constB156) <=> v1(constB155))),
% 15.58/10.85 inference(modus_ponens,[status(thm)],[21291, 21290])).
% 15.58/10.85 tff(21293,plain,
% 15.58/10.85 (v104(constB156) <=> v1(constB155)),
% 15.58/10.85 inference(unit_resolution,[status(thm)],[21292, 21274, 526])).
% 15.58/10.85 tff(21294,plain,
% 15.58/10.85 ((~v1(constB155)) <=> (~v1(constB155))),
% 15.58/10.85 inference(rewrite,[status(thm)],[])).
% 15.58/10.85 tff(21295,axiom,(~v1(constB155)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_155')).
% 15.58/10.85 tff(21296,plain,
% 15.58/10.85 (~v1(constB155)),
% 15.58/10.85 inference(modus_ponens,[status(thm)],[21295, 21294])).
% 15.58/10.85 tff(21297,plain,
% 15.58/10.85 ((~(v104(constB156) <=> v1(constB155))) | (~v104(constB156)) | v1(constB155)),
% 15.58/10.85 inference(tautology,[status(thm)],[])).
% 15.58/10.85 tff(21298,plain,
% 15.58/10.85 ((~(v104(constB156) <=> v1(constB155))) | (~v104(constB156))),
% 15.58/10.85 inference(unit_resolution,[status(thm)],[21297, 21296])).
% 15.58/10.85 tff(21299,plain,
% 15.58/10.85 (~v104(constB156)),
% 15.58/10.85 inference(unit_resolution,[status(thm)],[21298, 21293])).
% 15.58/10.85 tff(21300,plain,
% 15.58/10.85 ((~((~v102(constB156)) <=> v104(constB156))) | v102(constB156) | v104(constB156)),
% 15.58/10.85 inference(tautology,[status(thm)],[])).
% 15.58/10.85 tff(21301,plain,
% 15.58/10.85 (v102(constB156)),
% 15.58/10.85 inference(unit_resolution,[status(thm)],[21300, 21299, 21289])).
% 15.58/10.85 tff(21302,plain,
% 15.58/10.85 (v1(constB156) <=> v1(constB156)),
% 15.58/10.85 inference(rewrite,[status(thm)],[])).
% 15.58/10.85 tff(21303,axiom,(v1(constB156)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_156')).
% 15.58/10.85 tff(21304,plain,
% 15.58/10.85 (v1(constB156)),
% 15.58/10.85 inference(modus_ponens,[status(thm)],[21303, 21302])).
% 15.58/10.85 tff(21305,plain,
% 15.58/10.85 ((~((~v1(constB156)) | (~v102(constB156)))) | (~v1(constB156)) | (~v102(constB156))),
% 15.58/10.85 inference(tautology,[status(thm)],[])).
% 15.58/10.85 tff(21306,plain,
% 15.58/10.85 ((~((~v1(constB156)) | (~v102(constB156)))) | (~v102(constB156))),
% 15.58/10.85 inference(unit_resolution,[status(thm)],[21305, 21304])).
% 15.58/10.85 tff(21307,plain,
% 15.58/10.85 (~((~v1(constB156)) | (~v102(constB156)))),
% 15.58/10.85 inference(unit_resolution,[status(thm)],[21306, 21301])).
% 15.58/10.85 tff(21308,plain,
% 15.58/10.85 ((~(v101(constB156) <=> (~((~v1(constB156)) | (~v102(constB156)))))) | v101(constB156) | ((~v1(constB156)) | (~v102(constB156)))),
% 15.58/10.85 inference(tautology,[status(thm)],[])).
% 15.58/10.85 tff(21309,plain,
% 15.58/10.85 (v101(constB156)),
% 15.58/10.85 inference(unit_resolution,[status(thm)],[21308, 21307, 21285])).
% 15.58/10.85 tff(21310,plain,
% 15.58/10.85 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | ((~nextState(constB155, constB156)) | (v110(constB156) <=> v108(constB155)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | (~nextState(constB155, constB156)) | (v110(constB156) <=> v108(constB155)))),
% 15.58/10.86 inference(rewrite,[status(thm)],[])).
% 15.58/10.86 tff(21311,plain,
% 15.58/10.86 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | ((~nextState(constB155, constB156)) | (v110(constB156) <=> v108(constB155)))),
% 15.58/10.86 inference(quant_inst,[status(thm)],[])).
% 15.58/10.86 tff(21312,plain,
% 15.58/10.86 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | (~nextState(constB155, constB156)) | (v110(constB156) <=> v108(constB155))),
% 15.58/10.86 inference(modus_ponens,[status(thm)],[21311, 21310])).
% 15.58/10.86 tff(21313,plain,
% 15.58/10.86 (v110(constB156) <=> v108(constB155)),
% 15.58/10.86 inference(unit_resolution,[status(thm)],[21312, 21274, 556])).
% 15.58/10.86 tff(21314,plain,
% 15.58/10.86 ((~![VarCurr: $i] : (v108(VarCurr) <=> (v111(VarCurr) | v112(VarCurr)))) | (v108(constB155) <=> (v111(constB155) | v112(constB155)))),
% 15.58/10.86 inference(quant_inst,[status(thm)],[])).
% 15.58/10.86 tff(21315,plain,
% 15.58/10.86 (v108(constB155) <=> (v111(constB155) | v112(constB155))),
% 15.58/10.86 inference(unit_resolution,[status(thm)],[21314, 567])).
% 15.58/10.86 tff(21316,plain,
% 15.58/10.86 ((~![VarCurr: $i] : (v112(VarCurr) <=> (~((~v113(VarCurr)) | (~v126(VarCurr)))))) | (v112(constB155) <=> (~((~v113(constB155)) | (~v126(constB155)))))),
% 15.58/10.86 inference(quant_inst,[status(thm)],[])).
% 15.58/10.86 tff(21317,plain,
% 15.58/10.86 (v112(constB155) <=> (~((~v113(constB155)) | (~v126(constB155))))),
% 15.58/10.86 inference(unit_resolution,[status(thm)],[21316, 579])).
% 15.58/10.86 tff(21318,plain,
% 15.58/10.86 ((~![VarCurr: $i] : (v113(VarCurr) <=> (v114(VarCurr) | v125(VarCurr)))) | (v113(constB155) <=> (v114(constB155) | v125(constB155)))),
% 15.58/10.86 inference(quant_inst,[status(thm)],[])).
% 15.58/10.86 tff(21319,plain,
% 15.58/10.86 (v113(constB155) <=> (v114(constB155) | v125(constB155))),
% 15.58/10.86 inference(unit_resolution,[status(thm)],[21318, 588])).
% 15.58/10.86 tff(21320,plain,
% 15.58/10.86 (((~![VarCurr: $i] : (v125(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2)))))) | (v125(constB155) <=> (~((~v90(constB155, bitIndex2)) | (~v90(constB155, bitIndex1)) | v90(constB155, bitIndex0))))) <=> ((~![VarCurr: $i] : (v125(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2)))))) | (v125(constB155) <=> (~((~v90(constB155, bitIndex2)) | (~v90(constB155, bitIndex1)) | v90(constB155, bitIndex0)))))),
% 15.58/10.86 inference(rewrite,[status(thm)],[])).
% 15.58/10.86 tff(21321,plain,
% 15.58/10.86 ((v125(constB155) <=> (~(v90(constB155, bitIndex0) | (~v90(constB155, bitIndex1)) | (~v90(constB155, bitIndex2))))) <=> (v125(constB155) <=> (~((~v90(constB155, bitIndex2)) | (~v90(constB155, bitIndex1)) | v90(constB155, bitIndex0))))),
% 15.58/10.86 inference(rewrite,[status(thm)],[])).
% 15.58/10.86 tff(21322,plain,
% 15.58/10.86 (((~![VarCurr: $i] : (v125(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2)))))) | (v125(constB155) <=> (~(v90(constB155, bitIndex0) | (~v90(constB155, bitIndex1)) | (~v90(constB155, bitIndex2)))))) <=> ((~![VarCurr: $i] : (v125(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2)))))) | (v125(constB155) <=> (~((~v90(constB155, bitIndex2)) | (~v90(constB155, bitIndex1)) | v90(constB155, bitIndex0)))))),
% 15.58/10.86 inference(monotonicity,[status(thm)],[21321])).
% 15.58/10.86 tff(21323,plain,
% 15.58/10.86 (((~![VarCurr: $i] : (v125(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2)))))) | (v125(constB155) <=> (~(v90(constB155, bitIndex0) | (~v90(constB155, bitIndex1)) | (~v90(constB155, bitIndex2)))))) <=> ((~![VarCurr: $i] : (v125(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2)))))) | (v125(constB155) <=> (~((~v90(constB155, bitIndex2)) | (~v90(constB155, bitIndex1)) | v90(constB155, bitIndex0)))))),
% 15.58/10.86 inference(transitivity,[status(thm)],[21322, 21320])).
% 15.58/10.86 tff(21324,plain,
% 15.58/10.86 ((~![VarCurr: $i] : (v125(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2)))))) | (v125(constB155) <=> (~(v90(constB155, bitIndex0) | (~v90(constB155, bitIndex1)) | (~v90(constB155, bitIndex2)))))),
% 15.58/10.86 inference(quant_inst,[status(thm)],[])).
% 15.58/10.86 tff(21325,plain,
% 15.58/10.86 ((~![VarCurr: $i] : (v125(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2)))))) | (v125(constB155) <=> (~((~v90(constB155, bitIndex2)) | (~v90(constB155, bitIndex1)) | v90(constB155, bitIndex0))))),
% 15.58/10.86 inference(modus_ponens,[status(thm)],[21324, 21323])).
% 15.58/10.86 tff(21326,plain,
% 15.58/10.86 (v125(constB155) <=> (~((~v90(constB155, bitIndex2)) | (~v90(constB155, bitIndex1)) | v90(constB155, bitIndex0)))),
% 15.58/10.86 inference(unit_resolution,[status(thm)],[21325, 1066])).
% 15.58/10.86 tff(21327,plain,
% 15.58/10.86 (nextState(constB154, constB155) <=> nextState(constB154, constB155)),
% 15.58/10.86 inference(rewrite,[status(thm)],[])).
% 15.58/10.86 tff(21328,axiom,(nextState(constB154, constB155)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_154')).
% 15.58/10.86 tff(21329,plain,
% 15.58/10.86 (nextState(constB154, constB155)),
% 15.58/10.86 inference(modus_ponens,[status(thm)],[21328, 21327])).
% 15.58/10.86 tff(21330,plain,
% 15.58/10.86 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB154, constB155)) | (v100(constB155) <=> (~((~v101(constB155)) | (~v110(constB155))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB154, constB155)) | (v100(constB155) <=> (~((~v101(constB155)) | (~v110(constB155))))))),
% 15.58/10.86 inference(rewrite,[status(thm)],[])).
% 15.58/10.86 tff(21331,plain,
% 15.58/10.86 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB154, constB155)) | (v100(constB155) <=> (~((~v101(constB155)) | (~v110(constB155))))))),
% 15.58/10.86 inference(quant_inst,[status(thm)],[])).
% 15.58/10.86 tff(21332,plain,
% 15.58/10.86 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB154, constB155)) | (v100(constB155) <=> (~((~v101(constB155)) | (~v110(constB155)))))),
% 15.58/10.86 inference(modus_ponens,[status(thm)],[21331, 21330])).
% 15.58/10.86 tff(21333,plain,
% 15.58/10.86 (v100(constB155) <=> (~((~v101(constB155)) | (~v110(constB155))))),
% 15.58/10.86 inference(unit_resolution,[status(thm)],[21332, 21329, 430])).
% 15.58/10.86 tff(21334,plain,
% 15.58/10.86 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB154, constB155)) | (v101(constB155) <=> (~((~v1(constB155)) | (~v102(constB155))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB154, constB155)) | (v101(constB155) <=> (~((~v1(constB155)) | (~v102(constB155))))))),
% 15.58/10.86 inference(rewrite,[status(thm)],[])).
% 15.58/10.86 tff(21335,plain,
% 15.58/10.86 (((~nextState(constB154, constB155)) | (v101(constB155) <=> (~((~v102(constB155)) | (~v1(constB155)))))) <=> ((~nextState(constB154, constB155)) | (v101(constB155) <=> (~((~v1(constB155)) | (~v102(constB155))))))),
% 15.58/10.86 inference(rewrite,[status(thm)],[])).
% 15.58/10.86 tff(21336,plain,
% 15.58/10.86 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB154, constB155)) | (v101(constB155) <=> (~((~v102(constB155)) | (~v1(constB155))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB154, constB155)) | (v101(constB155) <=> (~((~v1(constB155)) | (~v102(constB155)))))))),
% 15.58/10.86 inference(monotonicity,[status(thm)],[21335])).
% 15.58/10.86 tff(21337,plain,
% 15.58/10.86 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB154, constB155)) | (v101(constB155) <=> (~((~v102(constB155)) | (~v1(constB155))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB154, constB155)) | (v101(constB155) <=> (~((~v1(constB155)) | (~v102(constB155))))))),
% 15.58/10.86 inference(transitivity,[status(thm)],[21336, 21334])).
% 15.58/10.86 tff(21338,plain,
% 15.58/10.86 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB154, constB155)) | (v101(constB155) <=> (~((~v102(constB155)) | (~v1(constB155))))))),
% 15.58/10.86 inference(quant_inst,[status(thm)],[])).
% 15.58/10.86 tff(21339,plain,
% 15.58/10.86 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB154, constB155)) | (v101(constB155) <=> (~((~v1(constB155)) | (~v102(constB155)))))),
% 15.58/10.86 inference(modus_ponens,[status(thm)],[21338, 21337])).
% 15.58/10.86 tff(21340,plain,
% 15.58/10.86 (v101(constB155) <=> (~((~v1(constB155)) | (~v102(constB155))))),
% 15.58/10.86 inference(unit_resolution,[status(thm)],[21339, 21329, 450])).
% 15.58/10.86 tff(21341,plain,
% 15.58/10.86 (((~v1(constB155)) | (~v102(constB155))) | v1(constB155)),
% 15.58/10.86 inference(tautology,[status(thm)],[])).
% 15.58/10.86 tff(21342,plain,
% 15.58/10.86 ((~v1(constB155)) | (~v102(constB155))),
% 15.58/10.86 inference(unit_resolution,[status(thm)],[21341, 21296])).
% 15.58/10.86 tff(21343,plain,
% 15.58/10.86 ((~(v101(constB155) <=> (~((~v1(constB155)) | (~v102(constB155)))))) | (~v101(constB155)) | (~((~v1(constB155)) | (~v102(constB155))))),
% 15.58/10.86 inference(tautology,[status(thm)],[])).
% 15.58/10.86 tff(21344,plain,
% 15.58/10.86 ((~(v101(constB155) <=> (~((~v1(constB155)) | (~v102(constB155)))))) | (~v101(constB155))),
% 15.58/10.86 inference(unit_resolution,[status(thm)],[21343, 21342])).
% 15.58/10.86 tff(21345,plain,
% 15.58/10.86 (~v101(constB155)),
% 15.58/10.86 inference(unit_resolution,[status(thm)],[21344, 21340])).
% 15.58/10.86 tff(21346,plain,
% 15.58/10.86 (((~v101(constB155)) | (~v110(constB155))) | v101(constB155)),
% 15.58/10.86 inference(tautology,[status(thm)],[])).
% 15.58/10.86 tff(21347,plain,
% 15.58/10.86 ((~v101(constB155)) | (~v110(constB155))),
% 15.58/10.86 inference(unit_resolution,[status(thm)],[21346, 21345])).
% 15.58/10.86 tff(21348,plain,
% 15.58/10.86 ((~(v100(constB155) <=> (~((~v101(constB155)) | (~v110(constB155)))))) | (~v100(constB155)) | (~((~v101(constB155)) | (~v110(constB155))))),
% 15.58/10.86 inference(tautology,[status(thm)],[])).
% 15.58/10.86 tff(21349,plain,
% 15.58/10.86 (~v100(constB155)),
% 15.58/10.86 inference(unit_resolution,[status(thm)],[21348, 21347, 21333])).
% 15.58/10.86 tff(21350,plain,
% 15.58/10.86 (((~![VarCurr: $i, VarNext: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v90(VarCurr, B))))) | (v100(constB155) | (~nextState(constB154, constB155)) | ![B: $i] : ((~less_3(B)) | (v90(constB155, B) <=> v90(constB154, B))))) <=> ((~![VarCurr: $i, VarNext: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v90(VarCurr, B))))) | v100(constB155) | (~nextState(constB154, constB155)) | ![B: $i] : ((~less_3(B)) | (v90(constB155, B) <=> v90(constB154, B))))),
% 15.58/10.86 inference(rewrite,[status(thm)],[])).
% 15.58/10.86 tff(21351,plain,
% 15.58/10.86 ((~![VarCurr: $i, VarNext: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v90(VarCurr, B))))) | (v100(constB155) | (~nextState(constB154, constB155)) | ![B: $i] : ((~less_3(B)) | (v90(constB155, B) <=> v90(constB154, B))))),
% 15.58/10.86 inference(quant_inst,[status(thm)],[])).
% 15.58/10.86 tff(21352,plain,
% 15.58/10.86 ((~![VarCurr: $i, VarNext: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v90(VarCurr, B))))) | v100(constB155) | (~nextState(constB154, constB155)) | ![B: $i] : ((~less_3(B)) | (v90(constB155, B) <=> v90(constB154, B)))),
% 15.58/10.86 inference(modus_ponens,[status(thm)],[21351, 21350])).
% 15.58/10.86 tff(21353,plain,
% 15.58/10.86 (v100(constB155) | ![B: $i] : ((~less_3(B)) | (v90(constB155, B) <=> v90(constB154, B)))),
% 15.58/10.86 inference(unit_resolution,[status(thm)],[21352, 21329, 479])).
% 15.58/10.86 tff(21354,plain,
% 15.58/10.86 (![B: $i] : ((~less_3(B)) | (v90(constB155, B) <=> v90(constB154, B)))),
% 15.58/10.86 inference(unit_resolution,[status(thm)],[21353, 21349])).
% 15.58/10.86 tff(21355,plain,
% 15.58/10.86 (((~![B: $i] : ((~less_3(B)) | (v90(constB155, B) <=> v90(constB154, B)))) | ((~less_3(bitIndex2)) | (v90(constB155, bitIndex2) <=> v90(constB154, bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v90(constB155, B) <=> v90(constB154, B)))) | (~less_3(bitIndex2)) | (v90(constB155, bitIndex2) <=> v90(constB154, bitIndex2)))),
% 15.58/10.86 inference(rewrite,[status(thm)],[])).
% 15.58/10.86 tff(21356,plain,
% 15.58/10.86 ((~![B: $i] : ((~less_3(B)) | (v90(constB155, B) <=> v90(constB154, B)))) | ((~less_3(bitIndex2)) | (v90(constB155, bitIndex2) <=> v90(constB154, bitIndex2)))),
% 15.58/10.86 inference(quant_inst,[status(thm)],[])).
% 15.58/10.86 tff(21357,plain,
% 15.58/10.86 ((~![B: $i] : ((~less_3(B)) | (v90(constB155, B) <=> v90(constB154, B)))) | (~less_3(bitIndex2)) | (v90(constB155, bitIndex2) <=> v90(constB154, bitIndex2))),
% 15.58/10.86 inference(modus_ponens,[status(thm)],[21356, 21355])).
% 15.58/10.86 tff(21358,plain,
% 15.58/10.86 (v90(constB155, bitIndex2) <=> v90(constB154, bitIndex2)),
% 15.58/10.86 inference(unit_resolution,[status(thm)],[21357, 413, 21354])).
% 15.58/10.86 tff(21359,plain,
% 15.58/10.86 (nextState(constB153, constB154) <=> nextState(constB153, constB154)),
% 15.58/10.86 inference(rewrite,[status(thm)],[])).
% 15.58/10.86 tff(21360,axiom,(nextState(constB153, constB154)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_153')).
% 15.58/10.86 tff(21361,plain,
% 15.58/10.86 (nextState(constB153, constB154)),
% 15.58/10.86 inference(modus_ponens,[status(thm)],[21360, 21359])).
% 15.58/10.86 tff(21362,plain,
% 15.58/10.86 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB153, constB154)) | (v100(constB154) <=> (~((~v101(constB154)) | (~v110(constB154))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB153, constB154)) | (v100(constB154) <=> (~((~v101(constB154)) | (~v110(constB154))))))),
% 15.58/10.86 inference(rewrite,[status(thm)],[])).
% 15.58/10.86 tff(21363,plain,
% 15.58/10.86 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB153, constB154)) | (v100(constB154) <=> (~((~v101(constB154)) | (~v110(constB154))))))),
% 15.58/10.86 inference(quant_inst,[status(thm)],[])).
% 15.58/10.86 tff(21364,plain,
% 15.58/10.86 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB153, constB154)) | (v100(constB154) <=> (~((~v101(constB154)) | (~v110(constB154)))))),
% 15.58/10.86 inference(modus_ponens,[status(thm)],[21363, 21362])).
% 15.58/10.86 tff(21365,plain,
% 15.58/10.86 (v100(constB154) <=> (~((~v101(constB154)) | (~v110(constB154))))),
% 15.58/10.86 inference(unit_resolution,[status(thm)],[21364, 21361, 430])).
% 15.58/10.86 tff(21366,plain,
% 15.58/10.86 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB153, constB154)) | (v101(constB154) <=> (~((~v1(constB154)) | (~v102(constB154))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB153, constB154)) | (v101(constB154) <=> (~((~v1(constB154)) | (~v102(constB154))))))),
% 15.58/10.86 inference(rewrite,[status(thm)],[])).
% 15.58/10.86 tff(21367,plain,
% 15.58/10.86 (((~nextState(constB153, constB154)) | (v101(constB154) <=> (~((~v102(constB154)) | (~v1(constB154)))))) <=> ((~nextState(constB153, constB154)) | (v101(constB154) <=> (~((~v1(constB154)) | (~v102(constB154))))))),
% 15.58/10.86 inference(rewrite,[status(thm)],[])).
% 15.58/10.86 tff(21368,plain,
% 15.58/10.86 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB153, constB154)) | (v101(constB154) <=> (~((~v102(constB154)) | (~v1(constB154))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB153, constB154)) | (v101(constB154) <=> (~((~v1(constB154)) | (~v102(constB154)))))))),
% 15.58/10.86 inference(monotonicity,[status(thm)],[21367])).
% 15.58/10.86 tff(21369,plain,
% 15.58/10.86 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB153, constB154)) | (v101(constB154) <=> (~((~v102(constB154)) | (~v1(constB154))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB153, constB154)) | (v101(constB154) <=> (~((~v1(constB154)) | (~v102(constB154))))))),
% 15.58/10.87 inference(transitivity,[status(thm)],[21368, 21366])).
% 15.58/10.87 tff(21370,plain,
% 15.58/10.87 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB153, constB154)) | (v101(constB154) <=> (~((~v102(constB154)) | (~v1(constB154))))))),
% 15.58/10.87 inference(quant_inst,[status(thm)],[])).
% 15.58/10.87 tff(21371,plain,
% 15.58/10.87 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB153, constB154)) | (v101(constB154) <=> (~((~v1(constB154)) | (~v102(constB154)))))),
% 15.58/10.87 inference(modus_ponens,[status(thm)],[21370, 21369])).
% 15.58/10.87 tff(21372,plain,
% 15.58/10.87 (v101(constB154) <=> (~((~v1(constB154)) | (~v102(constB154))))),
% 15.58/10.87 inference(unit_resolution,[status(thm)],[21371, 21361, 450])).
% 15.58/10.87 tff(21373,plain,
% 15.58/10.87 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | ((~nextState(constB153, constB154)) | ((~v102(constB154)) <=> v104(constB154)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | (~nextState(constB153, constB154)) | ((~v102(constB154)) <=> v104(constB154)))),
% 15.58/10.87 inference(rewrite,[status(thm)],[])).
% 15.58/10.87 tff(21374,plain,
% 15.58/10.87 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | ((~nextState(constB153, constB154)) | ((~v102(constB154)) <=> v104(constB154)))),
% 15.58/10.87 inference(quant_inst,[status(thm)],[])).
% 15.58/10.87 tff(21375,plain,
% 15.58/10.87 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | (~nextState(constB153, constB154)) | ((~v102(constB154)) <=> v104(constB154))),
% 15.58/10.87 inference(modus_ponens,[status(thm)],[21374, 21373])).
% 15.58/10.87 tff(21376,plain,
% 15.58/10.87 ((~v102(constB154)) <=> v104(constB154)),
% 15.58/10.87 inference(unit_resolution,[status(thm)],[21375, 21361, 512])).
% 15.58/10.87 tff(21377,plain,
% 15.58/10.87 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB153, constB154)) | (v104(constB154) <=> v1(constB153)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | (~nextState(constB153, constB154)) | (v104(constB154) <=> v1(constB153)))),
% 15.58/10.87 inference(rewrite,[status(thm)],[])).
% 15.58/10.87 tff(21378,plain,
% 15.58/10.87 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB153, constB154)) | (v104(constB154) <=> v1(constB153)))),
% 15.58/10.87 inference(quant_inst,[status(thm)],[])).
% 15.58/10.87 tff(21379,plain,
% 15.58/10.87 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | (~nextState(constB153, constB154)) | (v104(constB154) <=> v1(constB153))),
% 15.58/10.87 inference(modus_ponens,[status(thm)],[21378, 21377])).
% 15.58/10.87 tff(21380,plain,
% 15.58/10.87 (v104(constB154) <=> v1(constB153)),
% 15.58/10.87 inference(unit_resolution,[status(thm)],[21379, 21361, 526])).
% 15.58/10.87 tff(21381,plain,
% 15.58/10.87 ((~v1(constB153)) <=> (~v1(constB153))),
% 15.58/10.87 inference(rewrite,[status(thm)],[])).
% 15.58/10.87 tff(21382,axiom,(~v1(constB153)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_153')).
% 15.58/10.87 tff(21383,plain,
% 15.58/10.87 (~v1(constB153)),
% 15.58/10.87 inference(modus_ponens,[status(thm)],[21382, 21381])).
% 15.58/10.87 tff(21384,plain,
% 15.58/10.87 ((~(v104(constB154) <=> v1(constB153))) | (~v104(constB154)) | v1(constB153)),
% 15.58/10.87 inference(tautology,[status(thm)],[])).
% 15.58/10.87 tff(21385,plain,
% 15.58/10.87 ((~(v104(constB154) <=> v1(constB153))) | (~v104(constB154))),
% 15.58/10.87 inference(unit_resolution,[status(thm)],[21384, 21383])).
% 15.58/10.87 tff(21386,plain,
% 15.58/10.87 (~v104(constB154)),
% 15.58/10.87 inference(unit_resolution,[status(thm)],[21385, 21380])).
% 15.58/10.87 tff(21387,plain,
% 15.58/10.87 ((~((~v102(constB154)) <=> v104(constB154))) | v102(constB154) | v104(constB154)),
% 15.58/10.87 inference(tautology,[status(thm)],[])).
% 15.58/10.87 tff(21388,plain,
% 15.58/10.87 (v102(constB154)),
% 15.58/10.87 inference(unit_resolution,[status(thm)],[21387, 21386, 21376])).
% 15.58/10.87 tff(21389,plain,
% 15.58/10.87 (v1(constB154) <=> v1(constB154)),
% 15.58/10.87 inference(rewrite,[status(thm)],[])).
% 15.58/10.87 tff(21390,axiom,(v1(constB154)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_154')).
% 15.58/10.87 tff(21391,plain,
% 15.58/10.87 (v1(constB154)),
% 15.58/10.87 inference(modus_ponens,[status(thm)],[21390, 21389])).
% 15.58/10.87 tff(21392,plain,
% 15.58/10.87 ((~((~v1(constB154)) | (~v102(constB154)))) | (~v1(constB154)) | (~v102(constB154))),
% 15.58/10.87 inference(tautology,[status(thm)],[])).
% 15.58/10.87 tff(21393,plain,
% 15.58/10.87 ((~((~v1(constB154)) | (~v102(constB154)))) | (~v102(constB154))),
% 15.58/10.87 inference(unit_resolution,[status(thm)],[21392, 21391])).
% 15.58/10.87 tff(21394,plain,
% 15.58/10.87 (~((~v1(constB154)) | (~v102(constB154)))),
% 15.58/10.87 inference(unit_resolution,[status(thm)],[21393, 21388])).
% 15.58/10.87 tff(21395,plain,
% 15.58/10.87 ((~(v101(constB154) <=> (~((~v1(constB154)) | (~v102(constB154)))))) | v101(constB154) | ((~v1(constB154)) | (~v102(constB154)))),
% 15.58/10.87 inference(tautology,[status(thm)],[])).
% 15.58/10.87 tff(21396,plain,
% 15.58/10.87 (v101(constB154)),
% 15.58/10.87 inference(unit_resolution,[status(thm)],[21395, 21394, 21372])).
% 15.58/10.87 tff(21397,plain,
% 15.58/10.87 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | ((~nextState(constB153, constB154)) | (v110(constB154) <=> v108(constB153)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | (~nextState(constB153, constB154)) | (v110(constB154) <=> v108(constB153)))),
% 15.58/10.87 inference(rewrite,[status(thm)],[])).
% 15.58/10.87 tff(21398,plain,
% 15.58/10.87 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | ((~nextState(constB153, constB154)) | (v110(constB154) <=> v108(constB153)))),
% 15.58/10.87 inference(quant_inst,[status(thm)],[])).
% 15.58/10.87 tff(21399,plain,
% 15.58/10.87 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | (~nextState(constB153, constB154)) | (v110(constB154) <=> v108(constB153))),
% 15.58/10.87 inference(modus_ponens,[status(thm)],[21398, 21397])).
% 15.58/10.87 tff(21400,plain,
% 15.58/10.87 (v110(constB154) <=> v108(constB153)),
% 15.58/10.87 inference(unit_resolution,[status(thm)],[21399, 21361, 556])).
% 15.58/10.87 tff(21401,plain,
% 15.58/10.87 ((~![VarCurr: $i] : (v108(VarCurr) <=> (v111(VarCurr) | v112(VarCurr)))) | (v108(constB153) <=> (v111(constB153) | v112(constB153)))),
% 15.58/10.87 inference(quant_inst,[status(thm)],[])).
% 15.58/10.87 tff(21402,plain,
% 15.58/10.87 (v108(constB153) <=> (v111(constB153) | v112(constB153))),
% 15.58/10.87 inference(unit_resolution,[status(thm)],[21401, 567])).
% 15.58/10.87 tff(21403,plain,
% 15.58/10.87 ((~![VarCurr: $i] : (v112(VarCurr) <=> (~((~v113(VarCurr)) | (~v126(VarCurr)))))) | (v112(constB153) <=> (~((~v113(constB153)) | (~v126(constB153)))))),
% 15.58/10.87 inference(quant_inst,[status(thm)],[])).
% 15.58/10.87 tff(21404,plain,
% 15.58/10.87 (v112(constB153) <=> (~((~v113(constB153)) | (~v126(constB153))))),
% 15.58/10.87 inference(unit_resolution,[status(thm)],[21403, 579])).
% 15.58/10.87 tff(21405,plain,
% 15.58/10.87 ((~![VarCurr: $i] : (v113(VarCurr) <=> (v114(VarCurr) | v125(VarCurr)))) | (v113(constB153) <=> (v114(constB153) | v125(constB153)))),
% 15.58/10.87 inference(quant_inst,[status(thm)],[])).
% 15.58/10.87 tff(21406,plain,
% 15.58/10.87 (v113(constB153) <=> (v114(constB153) | v125(constB153))),
% 15.58/10.87 inference(unit_resolution,[status(thm)],[21405, 588])).
% 15.58/10.87 tff(21407,plain,
% 15.58/10.87 ((~![VarCurr: $i] : (v114(VarCurr) <=> (v115(VarCurr) | v124(VarCurr)))) | (v114(constB153) <=> (v115(constB153) | v124(constB153)))),
% 15.58/10.87 inference(quant_inst,[status(thm)],[])).
% 15.58/10.87 tff(21408,plain,
% 15.58/10.87 (v114(constB153) <=> (v115(constB153) | v124(constB153))),
% 15.58/10.87 inference(unit_resolution,[status(thm)],[21407, 597])).
% 15.58/10.87 tff(21409,plain,
% 15.58/10.87 ((~![VarCurr: $i] : (v115(VarCurr) <=> (v116(VarCurr) | v123(VarCurr)))) | (v115(constB153) <=> (v116(constB153) | v123(constB153)))),
% 15.58/10.87 inference(quant_inst,[status(thm)],[])).
% 15.58/10.87 tff(21410,plain,
% 15.58/10.87 (v115(constB153) <=> (v116(constB153) | v123(constB153))),
% 15.58/10.87 inference(unit_resolution,[status(thm)],[21409, 606])).
% 15.58/10.87 tff(21411,plain,
% 15.58/10.87 (((~![VarCurr: $i] : (v123(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)))))) | (v123(constB153) <=> (~((~v90(constB153, bitIndex2)) | v90(constB153, bitIndex1) | v90(constB153, bitIndex0))))) <=> ((~![VarCurr: $i] : (v123(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)))))) | (v123(constB153) <=> (~((~v90(constB153, bitIndex2)) | v90(constB153, bitIndex1) | v90(constB153, bitIndex0)))))),
% 15.58/10.87 inference(rewrite,[status(thm)],[])).
% 15.58/10.87 tff(21412,plain,
% 15.58/10.87 ((v123(constB153) <=> (~(v90(constB153, bitIndex0) | v90(constB153, bitIndex1) | (~v90(constB153, bitIndex2))))) <=> (v123(constB153) <=> (~((~v90(constB153, bitIndex2)) | v90(constB153, bitIndex1) | v90(constB153, bitIndex0))))),
% 15.58/10.87 inference(rewrite,[status(thm)],[])).
% 15.58/10.87 tff(21413,plain,
% 15.58/10.87 (((~![VarCurr: $i] : (v123(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)))))) | (v123(constB153) <=> (~(v90(constB153, bitIndex0) | v90(constB153, bitIndex1) | (~v90(constB153, bitIndex2)))))) <=> ((~![VarCurr: $i] : (v123(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)))))) | (v123(constB153) <=> (~((~v90(constB153, bitIndex2)) | v90(constB153, bitIndex1) | v90(constB153, bitIndex0)))))),
% 15.58/10.87 inference(monotonicity,[status(thm)],[21412])).
% 15.58/10.87 tff(21414,plain,
% 15.58/10.87 (((~![VarCurr: $i] : (v123(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)))))) | (v123(constB153) <=> (~(v90(constB153, bitIndex0) | v90(constB153, bitIndex1) | (~v90(constB153, bitIndex2)))))) <=> ((~![VarCurr: $i] : (v123(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)))))) | (v123(constB153) <=> (~((~v90(constB153, bitIndex2)) | v90(constB153, bitIndex1) | v90(constB153, bitIndex0)))))),
% 15.58/10.87 inference(transitivity,[status(thm)],[21413, 21411])).
% 15.58/10.87 tff(21415,plain,
% 15.58/10.87 ((~![VarCurr: $i] : (v123(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)))))) | (v123(constB153) <=> (~(v90(constB153, bitIndex0) | v90(constB153, bitIndex1) | (~v90(constB153, bitIndex2)))))),
% 15.58/10.87 inference(quant_inst,[status(thm)],[])).
% 15.58/10.87 tff(21416,plain,
% 15.58/10.87 ((~![VarCurr: $i] : (v123(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)))))) | (v123(constB153) <=> (~((~v90(constB153, bitIndex2)) | v90(constB153, bitIndex1) | v90(constB153, bitIndex0))))),
% 15.58/10.87 inference(modus_ponens,[status(thm)],[21415, 21414])).
% 15.58/10.87 tff(21417,plain,
% 15.58/10.87 (v123(constB153) <=> (~((~v90(constB153, bitIndex2)) | v90(constB153, bitIndex1) | v90(constB153, bitIndex0)))),
% 15.58/10.87 inference(unit_resolution,[status(thm)],[21416, 621])).
% 15.58/10.87 tff(21418,plain,
% 15.58/10.87 (nextState(constB152, constB153) <=> nextState(constB152, constB153)),
% 15.58/10.87 inference(rewrite,[status(thm)],[])).
% 15.58/10.87 tff(21419,axiom,(nextState(constB152, constB153)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_152')).
% 15.58/10.87 tff(21420,plain,
% 15.58/10.87 (nextState(constB152, constB153)),
% 15.58/10.87 inference(modus_ponens,[status(thm)],[21419, 21418])).
% 15.58/10.87 tff(21421,plain,
% 15.58/10.87 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB152, constB153)) | (v100(constB153) <=> (~((~v101(constB153)) | (~v110(constB153))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB152, constB153)) | (v100(constB153) <=> (~((~v101(constB153)) | (~v110(constB153))))))),
% 15.58/10.87 inference(rewrite,[status(thm)],[])).
% 15.58/10.87 tff(21422,plain,
% 15.58/10.87 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB152, constB153)) | (v100(constB153) <=> (~((~v101(constB153)) | (~v110(constB153))))))),
% 15.58/10.87 inference(quant_inst,[status(thm)],[])).
% 15.58/10.87 tff(21423,plain,
% 15.58/10.87 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB152, constB153)) | (v100(constB153) <=> (~((~v101(constB153)) | (~v110(constB153)))))),
% 15.58/10.87 inference(modus_ponens,[status(thm)],[21422, 21421])).
% 15.58/10.87 tff(21424,plain,
% 15.58/10.87 (v100(constB153) <=> (~((~v101(constB153)) | (~v110(constB153))))),
% 15.58/10.87 inference(unit_resolution,[status(thm)],[21423, 21420, 430])).
% 15.58/10.87 tff(21425,plain,
% 15.58/10.87 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB152, constB153)) | (v101(constB153) <=> (~((~v1(constB153)) | (~v102(constB153))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB152, constB153)) | (v101(constB153) <=> (~((~v1(constB153)) | (~v102(constB153))))))),
% 15.58/10.87 inference(rewrite,[status(thm)],[])).
% 15.58/10.87 tff(21426,plain,
% 15.58/10.87 (((~nextState(constB152, constB153)) | (v101(constB153) <=> (~((~v102(constB153)) | (~v1(constB153)))))) <=> ((~nextState(constB152, constB153)) | (v101(constB153) <=> (~((~v1(constB153)) | (~v102(constB153))))))),
% 15.58/10.87 inference(rewrite,[status(thm)],[])).
% 15.58/10.87 tff(21427,plain,
% 15.58/10.87 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB152, constB153)) | (v101(constB153) <=> (~((~v102(constB153)) | (~v1(constB153))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB152, constB153)) | (v101(constB153) <=> (~((~v1(constB153)) | (~v102(constB153)))))))),
% 15.58/10.87 inference(monotonicity,[status(thm)],[21426])).
% 15.58/10.87 tff(21428,plain,
% 15.58/10.87 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB152, constB153)) | (v101(constB153) <=> (~((~v102(constB153)) | (~v1(constB153))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB152, constB153)) | (v101(constB153) <=> (~((~v1(constB153)) | (~v102(constB153))))))),
% 15.58/10.87 inference(transitivity,[status(thm)],[21427, 21425])).
% 15.58/10.87 tff(21429,plain,
% 15.58/10.87 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB152, constB153)) | (v101(constB153) <=> (~((~v102(constB153)) | (~v1(constB153))))))),
% 15.58/10.87 inference(quant_inst,[status(thm)],[])).
% 15.58/10.87 tff(21430,plain,
% 15.58/10.87 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB152, constB153)) | (v101(constB153) <=> (~((~v1(constB153)) | (~v102(constB153)))))),
% 15.58/10.87 inference(modus_ponens,[status(thm)],[21429, 21428])).
% 15.58/10.87 tff(21431,plain,
% 15.58/10.87 (v101(constB153) <=> (~((~v1(constB153)) | (~v102(constB153))))),
% 15.58/10.87 inference(unit_resolution,[status(thm)],[21430, 21420, 450])).
% 15.58/10.87 tff(21432,plain,
% 15.58/10.87 (((~v1(constB153)) | (~v102(constB153))) | v1(constB153)),
% 15.58/10.87 inference(tautology,[status(thm)],[])).
% 15.58/10.87 tff(21433,plain,
% 15.58/10.87 ((~v1(constB153)) | (~v102(constB153))),
% 15.58/10.87 inference(unit_resolution,[status(thm)],[21432, 21383])).
% 15.58/10.87 tff(21434,plain,
% 15.58/10.87 ((~(v101(constB153) <=> (~((~v1(constB153)) | (~v102(constB153)))))) | (~v101(constB153)) | (~((~v1(constB153)) | (~v102(constB153))))),
% 15.58/10.87 inference(tautology,[status(thm)],[])).
% 15.58/10.87 tff(21435,plain,
% 15.58/10.87 ((~(v101(constB153) <=> (~((~v1(constB153)) | (~v102(constB153)))))) | (~v101(constB153))),
% 15.58/10.87 inference(unit_resolution,[status(thm)],[21434, 21433])).
% 15.58/10.87 tff(21436,plain,
% 15.58/10.87 (~v101(constB153)),
% 15.58/10.87 inference(unit_resolution,[status(thm)],[21435, 21431])).
% 15.58/10.87 tff(21437,plain,
% 15.58/10.87 (((~v101(constB153)) | (~v110(constB153))) | v101(constB153)),
% 15.58/10.87 inference(tautology,[status(thm)],[])).
% 15.58/10.87 tff(21438,plain,
% 15.58/10.87 ((~v101(constB153)) | (~v110(constB153))),
% 15.58/10.87 inference(unit_resolution,[status(thm)],[21437, 21436])).
% 15.58/10.87 tff(21439,plain,
% 15.58/10.87 ((~(v100(constB153) <=> (~((~v101(constB153)) | (~v110(constB153)))))) | (~v100(constB153)) | (~((~v101(constB153)) | (~v110(constB153))))),
% 15.58/10.87 inference(tautology,[status(thm)],[])).
% 15.58/10.88 tff(21440,plain,
% 15.58/10.88 (~v100(constB153)),
% 15.58/10.88 inference(unit_resolution,[status(thm)],[21439, 21438, 21424])).
% 15.58/10.88 tff(21441,plain,
% 15.58/10.88 (((~![VarCurr: $i, VarNext: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v90(VarCurr, B))))) | (v100(constB153) | (~nextState(constB152, constB153)) | ![B: $i] : ((~less_3(B)) | (v90(constB153, B) <=> v90(constB152, B))))) <=> ((~![VarCurr: $i, VarNext: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v90(VarCurr, B))))) | v100(constB153) | (~nextState(constB152, constB153)) | ![B: $i] : ((~less_3(B)) | (v90(constB153, B) <=> v90(constB152, B))))),
% 15.58/10.88 inference(rewrite,[status(thm)],[])).
% 15.58/10.88 tff(21442,plain,
% 15.58/10.88 ((~![VarCurr: $i, VarNext: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v90(VarCurr, B))))) | (v100(constB153) | (~nextState(constB152, constB153)) | ![B: $i] : ((~less_3(B)) | (v90(constB153, B) <=> v90(constB152, B))))),
% 15.58/10.88 inference(quant_inst,[status(thm)],[])).
% 15.58/10.88 tff(21443,plain,
% 15.58/10.88 ((~![VarCurr: $i, VarNext: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v90(VarCurr, B))))) | v100(constB153) | (~nextState(constB152, constB153)) | ![B: $i] : ((~less_3(B)) | (v90(constB153, B) <=> v90(constB152, B)))),
% 15.58/10.88 inference(modus_ponens,[status(thm)],[21442, 21441])).
% 15.58/10.88 tff(21444,plain,
% 15.58/10.88 (v100(constB153) | ![B: $i] : ((~less_3(B)) | (v90(constB153, B) <=> v90(constB152, B)))),
% 15.58/10.88 inference(unit_resolution,[status(thm)],[21443, 21420, 479])).
% 15.58/10.88 tff(21445,plain,
% 15.58/10.88 (![B: $i] : ((~less_3(B)) | (v90(constB153, B) <=> v90(constB152, B)))),
% 15.58/10.88 inference(unit_resolution,[status(thm)],[21444, 21440])).
% 15.58/10.88 tff(21446,plain,
% 15.58/10.88 (((~![B: $i] : ((~less_3(B)) | (v90(constB153, B) <=> v90(constB152, B)))) | ((~less_3(bitIndex2)) | (v90(constB153, bitIndex2) <=> v90(constB152, bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v90(constB153, B) <=> v90(constB152, B)))) | (~less_3(bitIndex2)) | (v90(constB153, bitIndex2) <=> v90(constB152, bitIndex2)))),
% 15.58/10.88 inference(rewrite,[status(thm)],[])).
% 15.58/10.88 tff(21447,plain,
% 15.58/10.88 ((~![B: $i] : ((~less_3(B)) | (v90(constB153, B) <=> v90(constB152, B)))) | ((~less_3(bitIndex2)) | (v90(constB153, bitIndex2) <=> v90(constB152, bitIndex2)))),
% 15.58/10.88 inference(quant_inst,[status(thm)],[])).
% 15.58/10.88 tff(21448,plain,
% 15.58/10.88 ((~![B: $i] : ((~less_3(B)) | (v90(constB153, B) <=> v90(constB152, B)))) | (~less_3(bitIndex2)) | (v90(constB153, bitIndex2) <=> v90(constB152, bitIndex2))),
% 15.58/10.88 inference(modus_ponens,[status(thm)],[21447, 21446])).
% 15.58/10.88 tff(21449,plain,
% 15.58/10.88 (v90(constB153, bitIndex2) <=> v90(constB152, bitIndex2)),
% 15.58/10.88 inference(unit_resolution,[status(thm)],[21448, 413, 21445])).
% 15.58/10.88 tff(21450,plain,
% 15.58/10.88 (nextState(constB151, constB152) <=> nextState(constB151, constB152)),
% 15.58/10.88 inference(rewrite,[status(thm)],[])).
% 15.58/10.88 tff(21451,axiom,(nextState(constB151, constB152)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_151')).
% 15.58/10.88 tff(21452,plain,
% 15.58/10.88 (nextState(constB151, constB152)),
% 15.58/10.88 inference(modus_ponens,[status(thm)],[21451, 21450])).
% 15.58/10.88 tff(21453,plain,
% 15.58/10.88 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB151, constB152)) | (v100(constB152) <=> (~((~v101(constB152)) | (~v110(constB152))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB151, constB152)) | (v100(constB152) <=> (~((~v101(constB152)) | (~v110(constB152))))))),
% 15.58/10.88 inference(rewrite,[status(thm)],[])).
% 15.58/10.88 tff(21454,plain,
% 15.58/10.88 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB151, constB152)) | (v100(constB152) <=> (~((~v101(constB152)) | (~v110(constB152))))))),
% 15.58/10.88 inference(quant_inst,[status(thm)],[])).
% 15.58/10.88 tff(21455,plain,
% 15.58/10.88 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB151, constB152)) | (v100(constB152) <=> (~((~v101(constB152)) | (~v110(constB152)))))),
% 15.58/10.88 inference(modus_ponens,[status(thm)],[21454, 21453])).
% 15.58/10.88 tff(21456,plain,
% 15.58/10.88 (v100(constB152) <=> (~((~v101(constB152)) | (~v110(constB152))))),
% 15.58/10.88 inference(unit_resolution,[status(thm)],[21455, 21452, 430])).
% 15.58/10.88 tff(21457,plain,
% 15.58/10.88 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB151, constB152)) | (v101(constB152) <=> (~((~v1(constB152)) | (~v102(constB152))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB151, constB152)) | (v101(constB152) <=> (~((~v1(constB152)) | (~v102(constB152))))))),
% 15.58/10.88 inference(rewrite,[status(thm)],[])).
% 15.58/10.88 tff(21458,plain,
% 15.58/10.88 (((~nextState(constB151, constB152)) | (v101(constB152) <=> (~((~v102(constB152)) | (~v1(constB152)))))) <=> ((~nextState(constB151, constB152)) | (v101(constB152) <=> (~((~v1(constB152)) | (~v102(constB152))))))),
% 15.58/10.88 inference(rewrite,[status(thm)],[])).
% 15.58/10.88 tff(21459,plain,
% 15.58/10.88 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB151, constB152)) | (v101(constB152) <=> (~((~v102(constB152)) | (~v1(constB152))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB151, constB152)) | (v101(constB152) <=> (~((~v1(constB152)) | (~v102(constB152)))))))),
% 15.58/10.88 inference(monotonicity,[status(thm)],[21458])).
% 15.58/10.88 tff(21460,plain,
% 15.58/10.88 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB151, constB152)) | (v101(constB152) <=> (~((~v102(constB152)) | (~v1(constB152))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB151, constB152)) | (v101(constB152) <=> (~((~v1(constB152)) | (~v102(constB152))))))),
% 15.68/10.88 inference(transitivity,[status(thm)],[21459, 21457])).
% 15.68/10.88 tff(21461,plain,
% 15.68/10.88 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB151, constB152)) | (v101(constB152) <=> (~((~v102(constB152)) | (~v1(constB152))))))),
% 15.68/10.88 inference(quant_inst,[status(thm)],[])).
% 15.68/10.88 tff(21462,plain,
% 15.68/10.88 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB151, constB152)) | (v101(constB152) <=> (~((~v1(constB152)) | (~v102(constB152)))))),
% 15.68/10.88 inference(modus_ponens,[status(thm)],[21461, 21460])).
% 15.68/10.88 tff(21463,plain,
% 15.68/10.88 (v101(constB152) <=> (~((~v1(constB152)) | (~v102(constB152))))),
% 15.68/10.88 inference(unit_resolution,[status(thm)],[21462, 21452, 450])).
% 15.68/10.88 tff(21464,plain,
% 15.68/10.88 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | ((~nextState(constB151, constB152)) | ((~v102(constB152)) <=> v104(constB152)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | (~nextState(constB151, constB152)) | ((~v102(constB152)) <=> v104(constB152)))),
% 15.68/10.88 inference(rewrite,[status(thm)],[])).
% 15.68/10.88 tff(21465,plain,
% 15.68/10.88 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | ((~nextState(constB151, constB152)) | ((~v102(constB152)) <=> v104(constB152)))),
% 15.68/10.88 inference(quant_inst,[status(thm)],[])).
% 15.68/10.88 tff(21466,plain,
% 15.68/10.88 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | (~nextState(constB151, constB152)) | ((~v102(constB152)) <=> v104(constB152))),
% 15.68/10.88 inference(modus_ponens,[status(thm)],[21465, 21464])).
% 15.68/10.88 tff(21467,plain,
% 15.68/10.88 ((~v102(constB152)) <=> v104(constB152)),
% 15.68/10.88 inference(unit_resolution,[status(thm)],[21466, 21452, 512])).
% 15.68/10.88 tff(21468,plain,
% 15.68/10.88 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB151, constB152)) | (v104(constB152) <=> v1(constB151)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | (~nextState(constB151, constB152)) | (v104(constB152) <=> v1(constB151)))),
% 15.68/10.88 inference(rewrite,[status(thm)],[])).
% 15.68/10.88 tff(21469,plain,
% 15.68/10.88 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB151, constB152)) | (v104(constB152) <=> v1(constB151)))),
% 15.68/10.88 inference(quant_inst,[status(thm)],[])).
% 15.68/10.88 tff(21470,plain,
% 15.68/10.88 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | (~nextState(constB151, constB152)) | (v104(constB152) <=> v1(constB151))),
% 15.68/10.88 inference(modus_ponens,[status(thm)],[21469, 21468])).
% 15.68/10.88 tff(21471,plain,
% 15.68/10.88 (v104(constB152) <=> v1(constB151)),
% 15.68/10.88 inference(unit_resolution,[status(thm)],[21470, 21452, 526])).
% 15.68/10.88 tff(21472,plain,
% 15.68/10.88 ((~v1(constB151)) <=> (~v1(constB151))),
% 15.68/10.88 inference(rewrite,[status(thm)],[])).
% 15.68/10.88 tff(21473,axiom,(~v1(constB151)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_151')).
% 15.68/10.88 tff(21474,plain,
% 15.68/10.88 (~v1(constB151)),
% 15.68/10.88 inference(modus_ponens,[status(thm)],[21473, 21472])).
% 15.68/10.88 tff(21475,plain,
% 15.68/10.88 ((~(v104(constB152) <=> v1(constB151))) | (~v104(constB152)) | v1(constB151)),
% 15.68/10.88 inference(tautology,[status(thm)],[])).
% 15.68/10.88 tff(21476,plain,
% 15.68/10.88 ((~(v104(constB152) <=> v1(constB151))) | (~v104(constB152))),
% 15.68/10.88 inference(unit_resolution,[status(thm)],[21475, 21474])).
% 15.68/10.88 tff(21477,plain,
% 15.68/10.88 (~v104(constB152)),
% 15.68/10.88 inference(unit_resolution,[status(thm)],[21476, 21471])).
% 15.68/10.88 tff(21478,plain,
% 15.68/10.88 ((~((~v102(constB152)) <=> v104(constB152))) | v102(constB152) | v104(constB152)),
% 15.68/10.88 inference(tautology,[status(thm)],[])).
% 15.68/10.88 tff(21479,plain,
% 15.68/10.88 (v102(constB152)),
% 15.68/10.88 inference(unit_resolution,[status(thm)],[21478, 21477, 21467])).
% 15.68/10.88 tff(21480,plain,
% 15.68/10.88 (v1(constB152) <=> v1(constB152)),
% 15.68/10.88 inference(rewrite,[status(thm)],[])).
% 15.68/10.88 tff(21481,axiom,(v1(constB152)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_152')).
% 15.68/10.88 tff(21482,plain,
% 15.68/10.88 (v1(constB152)),
% 15.68/10.88 inference(modus_ponens,[status(thm)],[21481, 21480])).
% 15.68/10.88 tff(21483,plain,
% 15.68/10.88 ((~((~v1(constB152)) | (~v102(constB152)))) | (~v1(constB152)) | (~v102(constB152))),
% 15.68/10.88 inference(tautology,[status(thm)],[])).
% 15.68/10.88 tff(21484,plain,
% 15.68/10.88 ((~((~v1(constB152)) | (~v102(constB152)))) | (~v102(constB152))),
% 15.68/10.88 inference(unit_resolution,[status(thm)],[21483, 21482])).
% 15.68/10.88 tff(21485,plain,
% 15.68/10.88 (~((~v1(constB152)) | (~v102(constB152)))),
% 15.68/10.88 inference(unit_resolution,[status(thm)],[21484, 21479])).
% 15.68/10.88 tff(21486,plain,
% 15.68/10.88 ((~(v101(constB152) <=> (~((~v1(constB152)) | (~v102(constB152)))))) | v101(constB152) | ((~v1(constB152)) | (~v102(constB152)))),
% 15.68/10.88 inference(tautology,[status(thm)],[])).
% 15.68/10.88 tff(21487,plain,
% 15.68/10.88 (v101(constB152)),
% 15.68/10.88 inference(unit_resolution,[status(thm)],[21486, 21485, 21463])).
% 15.68/10.88 tff(21488,plain,
% 15.68/10.88 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | ((~nextState(constB151, constB152)) | (v110(constB152) <=> v108(constB151)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | (~nextState(constB151, constB152)) | (v110(constB152) <=> v108(constB151)))),
% 15.68/10.88 inference(rewrite,[status(thm)],[])).
% 15.68/10.88 tff(21489,plain,
% 15.68/10.88 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | ((~nextState(constB151, constB152)) | (v110(constB152) <=> v108(constB151)))),
% 15.68/10.88 inference(quant_inst,[status(thm)],[])).
% 15.68/10.88 tff(21490,plain,
% 15.68/10.88 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | (~nextState(constB151, constB152)) | (v110(constB152) <=> v108(constB151))),
% 15.68/10.88 inference(modus_ponens,[status(thm)],[21489, 21488])).
% 15.68/10.88 tff(21491,plain,
% 15.68/10.88 (v110(constB152) <=> v108(constB151)),
% 15.68/10.88 inference(unit_resolution,[status(thm)],[21490, 21452, 556])).
% 15.68/10.88 tff(21492,plain,
% 15.68/10.88 ((~![VarCurr: $i] : (v108(VarCurr) <=> (v111(VarCurr) | v112(VarCurr)))) | (v108(constB151) <=> (v111(constB151) | v112(constB151)))),
% 15.68/10.88 inference(quant_inst,[status(thm)],[])).
% 15.68/10.88 tff(21493,plain,
% 15.68/10.88 (v108(constB151) <=> (v111(constB151) | v112(constB151))),
% 15.68/10.88 inference(unit_resolution,[status(thm)],[21492, 567])).
% 15.68/10.88 tff(21494,plain,
% 15.68/10.88 ((~![VarCurr: $i] : (v112(VarCurr) <=> (~((~v113(VarCurr)) | (~v126(VarCurr)))))) | (v112(constB151) <=> (~((~v113(constB151)) | (~v126(constB151)))))),
% 15.68/10.88 inference(quant_inst,[status(thm)],[])).
% 15.68/10.88 tff(21495,plain,
% 15.68/10.88 (v112(constB151) <=> (~((~v113(constB151)) | (~v126(constB151))))),
% 15.68/10.88 inference(unit_resolution,[status(thm)],[21494, 579])).
% 15.68/10.88 tff(21496,plain,
% 15.68/10.88 ((~![VarCurr: $i] : (v113(VarCurr) <=> (v114(VarCurr) | v125(VarCurr)))) | (v113(constB151) <=> (v114(constB151) | v125(constB151)))),
% 15.68/10.88 inference(quant_inst,[status(thm)],[])).
% 15.68/10.88 tff(21497,plain,
% 15.68/10.88 (v113(constB151) <=> (v114(constB151) | v125(constB151))),
% 15.68/10.88 inference(unit_resolution,[status(thm)],[21496, 588])).
% 15.68/10.88 tff(21498,plain,
% 15.68/10.88 ((~![VarCurr: $i] : (v114(VarCurr) <=> (v115(VarCurr) | v124(VarCurr)))) | (v114(constB151) <=> (v115(constB151) | v124(constB151)))),
% 15.68/10.88 inference(quant_inst,[status(thm)],[])).
% 15.68/10.88 tff(21499,plain,
% 15.68/10.88 (v114(constB151) <=> (v115(constB151) | v124(constB151))),
% 15.68/10.88 inference(unit_resolution,[status(thm)],[21498, 597])).
% 15.68/10.88 tff(21500,plain,
% 15.68/10.88 ((~![VarCurr: $i] : (v115(VarCurr) <=> (v116(VarCurr) | v123(VarCurr)))) | (v115(constB151) <=> (v116(constB151) | v123(constB151)))),
% 15.68/10.88 inference(quant_inst,[status(thm)],[])).
% 15.68/10.88 tff(21501,plain,
% 15.68/10.88 (v115(constB151) <=> (v116(constB151) | v123(constB151))),
% 15.68/10.88 inference(unit_resolution,[status(thm)],[21500, 606])).
% 15.68/10.88 tff(21502,plain,
% 15.68/10.88 ((~![VarCurr: $i] : (v116(VarCurr) <=> (v117(VarCurr) | v122(VarCurr)))) | (v116(constB151) <=> (v117(constB151) | v122(constB151)))),
% 15.68/10.88 inference(quant_inst,[status(thm)],[])).
% 15.68/10.88 tff(21503,plain,
% 15.68/10.88 (v116(constB151) <=> (v117(constB151) | v122(constB151))),
% 15.68/10.88 inference(unit_resolution,[status(thm)],[21502, 719])).
% 15.68/10.88 tff(21504,plain,
% 15.68/10.88 (((~![VarCurr: $i] : (v122(VarCurr) <=> (~(v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)))))) | (v122(constB151) <=> (~(v90(constB151, bitIndex2) | (~v90(constB151, bitIndex1)) | (~v90(constB151, bitIndex0)))))) <=> ((~![VarCurr: $i] : (v122(VarCurr) <=> (~(v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)))))) | (v122(constB151) <=> (~(v90(constB151, bitIndex2) | (~v90(constB151, bitIndex1)) | (~v90(constB151, bitIndex0))))))),
% 15.68/10.88 inference(rewrite,[status(thm)],[])).
% 15.68/10.88 tff(21505,plain,
% 15.68/10.88 ((v122(constB151) <=> (~(v90(constB151, bitIndex2) | (~v90(constB151, bitIndex0)) | (~v90(constB151, bitIndex1))))) <=> (v122(constB151) <=> (~(v90(constB151, bitIndex2) | (~v90(constB151, bitIndex1)) | (~v90(constB151, bitIndex0)))))),
% 15.68/10.88 inference(rewrite,[status(thm)],[])).
% 15.68/10.88 tff(21506,plain,
% 15.68/10.88 (((~![VarCurr: $i] : (v122(VarCurr) <=> (~(v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)))))) | (v122(constB151) <=> (~(v90(constB151, bitIndex2) | (~v90(constB151, bitIndex0)) | (~v90(constB151, bitIndex1)))))) <=> ((~![VarCurr: $i] : (v122(VarCurr) <=> (~(v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)))))) | (v122(constB151) <=> (~(v90(constB151, bitIndex2) | (~v90(constB151, bitIndex1)) | (~v90(constB151, bitIndex0))))))),
% 15.68/10.88 inference(monotonicity,[status(thm)],[21505])).
% 15.68/10.88 tff(21507,plain,
% 15.68/10.88 (((~![VarCurr: $i] : (v122(VarCurr) <=> (~(v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)))))) | (v122(constB151) <=> (~(v90(constB151, bitIndex2) | (~v90(constB151, bitIndex0)) | (~v90(constB151, bitIndex1)))))) <=> ((~![VarCurr: $i] : (v122(VarCurr) <=> (~(v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)))))) | (v122(constB151) <=> (~(v90(constB151, bitIndex2) | (~v90(constB151, bitIndex1)) | (~v90(constB151, bitIndex0))))))),
% 15.68/10.89 inference(transitivity,[status(thm)],[21506, 21504])).
% 15.68/10.89 tff(21508,plain,
% 15.68/10.89 ((~![VarCurr: $i] : (v122(VarCurr) <=> (~(v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)))))) | (v122(constB151) <=> (~(v90(constB151, bitIndex2) | (~v90(constB151, bitIndex0)) | (~v90(constB151, bitIndex1)))))),
% 15.68/10.89 inference(quant_inst,[status(thm)],[])).
% 15.68/10.89 tff(21509,plain,
% 15.68/10.89 ((~![VarCurr: $i] : (v122(VarCurr) <=> (~(v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)))))) | (v122(constB151) <=> (~(v90(constB151, bitIndex2) | (~v90(constB151, bitIndex1)) | (~v90(constB151, bitIndex0)))))),
% 15.68/10.89 inference(modus_ponens,[status(thm)],[21508, 21507])).
% 15.68/10.89 tff(21510,plain,
% 15.68/10.89 (v122(constB151) <=> (~(v90(constB151, bitIndex2) | (~v90(constB151, bitIndex1)) | (~v90(constB151, bitIndex0))))),
% 15.68/10.89 inference(unit_resolution,[status(thm)],[21509, 734])).
% 15.68/10.89 tff(21511,plain,
% 15.68/10.89 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB150, constB151)) | (v100(constB151) <=> (~((~v101(constB151)) | (~v110(constB151))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB150, constB151)) | (v100(constB151) <=> (~((~v101(constB151)) | (~v110(constB151))))))),
% 15.68/10.89 inference(rewrite,[status(thm)],[])).
% 15.68/10.89 tff(21512,plain,
% 15.68/10.89 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB150, constB151)) | (v100(constB151) <=> (~((~v101(constB151)) | (~v110(constB151))))))),
% 15.68/10.89 inference(quant_inst,[status(thm)],[])).
% 15.68/10.89 tff(21513,plain,
% 15.68/10.89 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB150, constB151)) | (v100(constB151) <=> (~((~v101(constB151)) | (~v110(constB151)))))),
% 15.68/10.89 inference(modus_ponens,[status(thm)],[21512, 21511])).
% 15.68/10.89 tff(21514,plain,
% 15.68/10.89 (v100(constB151) <=> (~((~v101(constB151)) | (~v110(constB151))))),
% 15.68/10.89 inference(unit_resolution,[status(thm)],[21513, 13392, 430])).
% 15.68/10.89 tff(21515,plain,
% 15.68/10.89 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB150, constB151)) | (v101(constB151) <=> (~((~v1(constB151)) | (~v102(constB151))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB150, constB151)) | (v101(constB151) <=> (~((~v1(constB151)) | (~v102(constB151))))))),
% 15.68/10.89 inference(rewrite,[status(thm)],[])).
% 15.68/10.89 tff(21516,plain,
% 15.68/10.89 (((~nextState(constB150, constB151)) | (v101(constB151) <=> (~((~v102(constB151)) | (~v1(constB151)))))) <=> ((~nextState(constB150, constB151)) | (v101(constB151) <=> (~((~v1(constB151)) | (~v102(constB151))))))),
% 15.68/10.89 inference(rewrite,[status(thm)],[])).
% 15.68/10.89 tff(21517,plain,
% 15.68/10.89 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB150, constB151)) | (v101(constB151) <=> (~((~v102(constB151)) | (~v1(constB151))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB150, constB151)) | (v101(constB151) <=> (~((~v1(constB151)) | (~v102(constB151)))))))),
% 15.68/10.89 inference(monotonicity,[status(thm)],[21516])).
% 15.68/10.89 tff(21518,plain,
% 15.68/10.89 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB150, constB151)) | (v101(constB151) <=> (~((~v102(constB151)) | (~v1(constB151))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB150, constB151)) | (v101(constB151) <=> (~((~v1(constB151)) | (~v102(constB151))))))),
% 15.68/10.89 inference(transitivity,[status(thm)],[21517, 21515])).
% 15.68/10.89 tff(21519,plain,
% 15.68/10.89 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB150, constB151)) | (v101(constB151) <=> (~((~v102(constB151)) | (~v1(constB151))))))),
% 15.68/10.89 inference(quant_inst,[status(thm)],[])).
% 15.68/10.89 tff(21520,plain,
% 15.68/10.89 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB150, constB151)) | (v101(constB151) <=> (~((~v1(constB151)) | (~v102(constB151)))))),
% 15.68/10.89 inference(modus_ponens,[status(thm)],[21519, 21518])).
% 15.68/10.89 tff(21521,plain,
% 15.68/10.89 (v101(constB151) <=> (~((~v1(constB151)) | (~v102(constB151))))),
% 15.68/10.89 inference(unit_resolution,[status(thm)],[21520, 13392, 450])).
% 15.68/10.89 tff(21522,plain,
% 15.68/10.89 (((~v1(constB151)) | (~v102(constB151))) | v1(constB151)),
% 15.68/10.89 inference(tautology,[status(thm)],[])).
% 15.68/10.89 tff(21523,plain,
% 15.68/10.89 ((~v1(constB151)) | (~v102(constB151))),
% 15.68/10.89 inference(unit_resolution,[status(thm)],[21522, 21474])).
% 15.68/10.89 tff(21524,plain,
% 15.68/10.89 ((~(v101(constB151) <=> (~((~v1(constB151)) | (~v102(constB151)))))) | (~v101(constB151)) | (~((~v1(constB151)) | (~v102(constB151))))),
% 15.68/10.89 inference(tautology,[status(thm)],[])).
% 15.68/10.89 tff(21525,plain,
% 15.68/10.89 ((~(v101(constB151) <=> (~((~v1(constB151)) | (~v102(constB151)))))) | (~v101(constB151))),
% 15.68/10.89 inference(unit_resolution,[status(thm)],[21524, 21523])).
% 15.68/10.89 tff(21526,plain,
% 15.68/10.89 (~v101(constB151)),
% 15.68/10.89 inference(unit_resolution,[status(thm)],[21525, 21521])).
% 15.68/10.89 tff(21527,plain,
% 15.68/10.89 (((~v101(constB151)) | (~v110(constB151))) | v101(constB151)),
% 15.68/10.89 inference(tautology,[status(thm)],[])).
% 15.68/10.89 tff(21528,plain,
% 15.68/10.89 ((~v101(constB151)) | (~v110(constB151))),
% 15.68/10.89 inference(unit_resolution,[status(thm)],[21527, 21526])).
% 15.68/10.89 tff(21529,plain,
% 15.68/10.89 ((~(v100(constB151) <=> (~((~v101(constB151)) | (~v110(constB151)))))) | (~v100(constB151)) | (~((~v101(constB151)) | (~v110(constB151))))),
% 15.68/10.89 inference(tautology,[status(thm)],[])).
% 15.68/10.89 tff(21530,plain,
% 15.68/10.89 (~v100(constB151)),
% 15.68/10.89 inference(unit_resolution,[status(thm)],[21529, 21528, 21514])).
% 15.68/10.89 tff(21531,plain,
% 15.68/10.89 (((~![VarCurr: $i, VarNext: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v90(VarCurr, B))))) | (v100(constB151) | (~nextState(constB150, constB151)) | ![B: $i] : ((~less_3(B)) | (v90(constB151, B) <=> v90(constB150, B))))) <=> ((~![VarCurr: $i, VarNext: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v90(VarCurr, B))))) | v100(constB151) | (~nextState(constB150, constB151)) | ![B: $i] : ((~less_3(B)) | (v90(constB151, B) <=> v90(constB150, B))))),
% 15.68/10.89 inference(rewrite,[status(thm)],[])).
% 15.68/10.89 tff(21532,plain,
% 15.68/10.89 ((~![VarCurr: $i, VarNext: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v90(VarCurr, B))))) | (v100(constB151) | (~nextState(constB150, constB151)) | ![B: $i] : ((~less_3(B)) | (v90(constB151, B) <=> v90(constB150, B))))),
% 15.68/10.89 inference(quant_inst,[status(thm)],[])).
% 15.68/10.89 tff(21533,plain,
% 15.68/10.89 ((~![VarCurr: $i, VarNext: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v90(VarCurr, B))))) | v100(constB151) | (~nextState(constB150, constB151)) | ![B: $i] : ((~less_3(B)) | (v90(constB151, B) <=> v90(constB150, B)))),
% 15.68/10.89 inference(modus_ponens,[status(thm)],[21532, 21531])).
% 15.68/10.89 tff(21534,plain,
% 15.68/10.89 (v100(constB151) | ![B: $i] : ((~less_3(B)) | (v90(constB151, B) <=> v90(constB150, B)))),
% 15.68/10.89 inference(unit_resolution,[status(thm)],[21533, 13392, 479])).
% 15.68/10.89 tff(21535,plain,
% 15.68/10.89 (![B: $i] : ((~less_3(B)) | (v90(constB151, B) <=> v90(constB150, B)))),
% 15.68/10.89 inference(unit_resolution,[status(thm)],[21534, 21530])).
% 15.68/10.89 tff(21536,plain,
% 15.68/10.89 (((~![B: $i] : ((~less_3(B)) | (v90(constB151, B) <=> v90(constB150, B)))) | ((~less_3(bitIndex2)) | (v90(constB151, bitIndex2) <=> v90(constB150, bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v90(constB151, B) <=> v90(constB150, B)))) | (~less_3(bitIndex2)) | (v90(constB151, bitIndex2) <=> v90(constB150, bitIndex2)))),
% 15.68/10.89 inference(rewrite,[status(thm)],[])).
% 15.68/10.89 tff(21537,plain,
% 15.68/10.89 ((~![B: $i] : ((~less_3(B)) | (v90(constB151, B) <=> v90(constB150, B)))) | ((~less_3(bitIndex2)) | (v90(constB151, bitIndex2) <=> v90(constB150, bitIndex2)))),
% 15.68/10.89 inference(quant_inst,[status(thm)],[])).
% 15.68/10.89 tff(21538,plain,
% 15.68/10.89 ((~![B: $i] : ((~less_3(B)) | (v90(constB151, B) <=> v90(constB150, B)))) | (~less_3(bitIndex2)) | (v90(constB151, bitIndex2) <=> v90(constB150, bitIndex2))),
% 15.68/10.89 inference(modus_ponens,[status(thm)],[21537, 21536])).
% 15.68/10.89 tff(21539,plain,
% 15.68/10.89 (v90(constB151, bitIndex2) <=> v90(constB150, bitIndex2)),
% 15.68/10.89 inference(unit_resolution,[status(thm)],[21538, 413, 21535])).
% 15.68/10.89 tff(21540,plain,
% 15.68/10.89 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB149, constB150)) | (v100(constB150) <=> (~((~v101(constB150)) | (~v110(constB150))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB149, constB150)) | (v100(constB150) <=> (~((~v101(constB150)) | (~v110(constB150))))))),
% 15.68/10.89 inference(rewrite,[status(thm)],[])).
% 15.68/10.89 tff(21541,plain,
% 15.68/10.89 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB149, constB150)) | (v100(constB150) <=> (~((~v101(constB150)) | (~v110(constB150))))))),
% 15.68/10.89 inference(quant_inst,[status(thm)],[])).
% 15.68/10.89 tff(21542,plain,
% 15.68/10.89 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB149, constB150)) | (v100(constB150) <=> (~((~v101(constB150)) | (~v110(constB150)))))),
% 15.68/10.89 inference(modus_ponens,[status(thm)],[21541, 21540])).
% 15.68/10.89 tff(21543,plain,
% 15.68/10.89 (v100(constB150) <=> (~((~v101(constB150)) | (~v110(constB150))))),
% 15.68/10.89 inference(unit_resolution,[status(thm)],[21542, 13438, 430])).
% 15.68/10.89 tff(21544,plain,
% 15.68/10.89 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB149, constB150)) | (v101(constB150) <=> (~((~v1(constB150)) | (~v102(constB150))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB149, constB150)) | (v101(constB150) <=> (~((~v1(constB150)) | (~v102(constB150))))))),
% 15.68/10.89 inference(rewrite,[status(thm)],[])).
% 15.68/10.89 tff(21545,plain,
% 15.68/10.89 (((~nextState(constB149, constB150)) | (v101(constB150) <=> (~((~v102(constB150)) | (~v1(constB150)))))) <=> ((~nextState(constB149, constB150)) | (v101(constB150) <=> (~((~v1(constB150)) | (~v102(constB150))))))),
% 15.68/10.89 inference(rewrite,[status(thm)],[])).
% 15.68/10.89 tff(21546,plain,
% 15.68/10.89 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB149, constB150)) | (v101(constB150) <=> (~((~v102(constB150)) | (~v1(constB150))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB149, constB150)) | (v101(constB150) <=> (~((~v1(constB150)) | (~v102(constB150)))))))),
% 15.68/10.89 inference(monotonicity,[status(thm)],[21545])).
% 15.68/10.89 tff(21547,plain,
% 15.68/10.89 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB149, constB150)) | (v101(constB150) <=> (~((~v102(constB150)) | (~v1(constB150))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB149, constB150)) | (v101(constB150) <=> (~((~v1(constB150)) | (~v102(constB150))))))),
% 15.68/10.89 inference(transitivity,[status(thm)],[21546, 21544])).
% 15.68/10.89 tff(21548,plain,
% 15.68/10.89 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB149, constB150)) | (v101(constB150) <=> (~((~v102(constB150)) | (~v1(constB150))))))),
% 15.68/10.89 inference(quant_inst,[status(thm)],[])).
% 15.68/10.89 tff(21549,plain,
% 15.68/10.89 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB149, constB150)) | (v101(constB150) <=> (~((~v1(constB150)) | (~v102(constB150)))))),
% 15.68/10.89 inference(modus_ponens,[status(thm)],[21548, 21547])).
% 15.68/10.89 tff(21550,plain,
% 15.68/10.89 (v101(constB150) <=> (~((~v1(constB150)) | (~v102(constB150))))),
% 15.68/10.89 inference(unit_resolution,[status(thm)],[21549, 13438, 450])).
% 15.68/10.89 tff(21551,plain,
% 15.68/10.89 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | ((~nextState(constB149, constB150)) | ((~v102(constB150)) <=> v104(constB150)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | (~nextState(constB149, constB150)) | ((~v102(constB150)) <=> v104(constB150)))),
% 15.68/10.89 inference(rewrite,[status(thm)],[])).
% 15.68/10.89 tff(21552,plain,
% 15.68/10.89 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | ((~nextState(constB149, constB150)) | ((~v102(constB150)) <=> v104(constB150)))),
% 15.68/10.89 inference(quant_inst,[status(thm)],[])).
% 15.68/10.89 tff(21553,plain,
% 15.68/10.89 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | (~nextState(constB149, constB150)) | ((~v102(constB150)) <=> v104(constB150))),
% 15.68/10.89 inference(modus_ponens,[status(thm)],[21552, 21551])).
% 15.68/10.89 tff(21554,plain,
% 15.68/10.89 ((~v102(constB150)) <=> v104(constB150)),
% 15.68/10.89 inference(unit_resolution,[status(thm)],[21553, 13438, 512])).
% 15.68/10.89 tff(21555,plain,
% 15.68/10.89 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB149, constB150)) | (v104(constB150) <=> v1(constB149)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | (~nextState(constB149, constB150)) | (v104(constB150) <=> v1(constB149)))),
% 15.68/10.89 inference(rewrite,[status(thm)],[])).
% 15.68/10.89 tff(21556,plain,
% 15.68/10.89 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB149, constB150)) | (v104(constB150) <=> v1(constB149)))),
% 15.68/10.89 inference(quant_inst,[status(thm)],[])).
% 15.68/10.89 tff(21557,plain,
% 15.68/10.89 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | (~nextState(constB149, constB150)) | (v104(constB150) <=> v1(constB149))),
% 15.68/10.89 inference(modus_ponens,[status(thm)],[21556, 21555])).
% 15.68/10.89 tff(21558,plain,
% 15.68/10.89 (v104(constB150) <=> v1(constB149)),
% 15.68/10.89 inference(unit_resolution,[status(thm)],[21557, 13438, 526])).
% 15.68/10.89 tff(21559,plain,
% 15.68/10.89 ((~(v104(constB150) <=> v1(constB149))) | (~v104(constB150)) | v1(constB149)),
% 15.68/10.89 inference(tautology,[status(thm)],[])).
% 15.68/10.89 tff(21560,plain,
% 15.68/10.89 ((~(v104(constB150) <=> v1(constB149))) | (~v104(constB150))),
% 15.68/10.89 inference(unit_resolution,[status(thm)],[21559, 13502])).
% 15.68/10.89 tff(21561,plain,
% 15.68/10.89 (~v104(constB150)),
% 15.68/10.89 inference(unit_resolution,[status(thm)],[21560, 21558])).
% 15.68/10.89 tff(21562,plain,
% 15.68/10.89 ((~((~v102(constB150)) <=> v104(constB150))) | v102(constB150) | v104(constB150)),
% 15.68/10.89 inference(tautology,[status(thm)],[])).
% 15.68/10.89 tff(21563,plain,
% 15.68/10.89 (v102(constB150)),
% 15.68/10.89 inference(unit_resolution,[status(thm)],[21562, 21561, 21554])).
% 15.68/10.89 tff(21564,plain,
% 15.68/10.89 ((~((~v1(constB150)) | (~v102(constB150)))) | (~v1(constB150)) | (~v102(constB150))),
% 15.68/10.89 inference(tautology,[status(thm)],[])).
% 15.68/10.89 tff(21565,plain,
% 15.68/10.89 ((~((~v1(constB150)) | (~v102(constB150)))) | (~v102(constB150))),
% 15.68/10.89 inference(unit_resolution,[status(thm)],[21564, 13409])).
% 15.68/10.89 tff(21566,plain,
% 15.68/10.89 (~((~v1(constB150)) | (~v102(constB150)))),
% 15.68/10.89 inference(unit_resolution,[status(thm)],[21565, 21563])).
% 15.68/10.89 tff(21567,plain,
% 15.68/10.89 ((~(v101(constB150) <=> (~((~v1(constB150)) | (~v102(constB150)))))) | v101(constB150) | ((~v1(constB150)) | (~v102(constB150)))),
% 15.68/10.89 inference(tautology,[status(thm)],[])).
% 15.69/10.90 tff(21568,plain,
% 15.69/10.90 (v101(constB150)),
% 15.69/10.90 inference(unit_resolution,[status(thm)],[21567, 21566, 21550])).
% 15.69/10.90 tff(21569,plain,
% 15.69/10.90 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | ((~nextState(constB149, constB150)) | (v110(constB150) <=> v108(constB149)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | (~nextState(constB149, constB150)) | (v110(constB150) <=> v108(constB149)))),
% 15.69/10.90 inference(rewrite,[status(thm)],[])).
% 15.69/10.90 tff(21570,plain,
% 15.69/10.90 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | ((~nextState(constB149, constB150)) | (v110(constB150) <=> v108(constB149)))),
% 15.69/10.90 inference(quant_inst,[status(thm)],[])).
% 15.69/10.90 tff(21571,plain,
% 15.69/10.90 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | (~nextState(constB149, constB150)) | (v110(constB150) <=> v108(constB149))),
% 15.69/10.90 inference(modus_ponens,[status(thm)],[21570, 21569])).
% 15.69/10.90 tff(21572,plain,
% 15.69/10.90 (v110(constB150) <=> v108(constB149)),
% 15.69/10.90 inference(unit_resolution,[status(thm)],[21571, 13438, 556])).
% 15.69/10.90 tff(21573,plain,
% 15.69/10.90 ((~![VarCurr: $i] : (v108(VarCurr) <=> (v111(VarCurr) | v112(VarCurr)))) | (v108(constB149) <=> (v111(constB149) | v112(constB149)))),
% 15.69/10.90 inference(quant_inst,[status(thm)],[])).
% 15.69/10.90 tff(21574,plain,
% 15.69/10.90 (v108(constB149) <=> (v111(constB149) | v112(constB149))),
% 15.69/10.90 inference(unit_resolution,[status(thm)],[21573, 567])).
% 15.69/10.90 tff(21575,plain,
% 15.69/10.90 ((~![VarCurr: $i] : (v112(VarCurr) <=> (~((~v113(VarCurr)) | (~v126(VarCurr)))))) | (v112(constB149) <=> (~((~v113(constB149)) | (~v126(constB149)))))),
% 15.69/10.90 inference(quant_inst,[status(thm)],[])).
% 15.69/10.90 tff(21576,plain,
% 15.69/10.90 (v112(constB149) <=> (~((~v113(constB149)) | (~v126(constB149))))),
% 15.69/10.90 inference(unit_resolution,[status(thm)],[21575, 579])).
% 15.69/10.90 tff(21577,plain,
% 15.69/10.90 ((~![VarCurr: $i] : (v113(VarCurr) <=> (v114(VarCurr) | v125(VarCurr)))) | (v113(constB149) <=> (v114(constB149) | v125(constB149)))),
% 15.69/10.90 inference(quant_inst,[status(thm)],[])).
% 15.69/10.90 tff(21578,plain,
% 15.69/10.90 (v113(constB149) <=> (v114(constB149) | v125(constB149))),
% 15.69/10.90 inference(unit_resolution,[status(thm)],[21577, 588])).
% 15.69/10.90 tff(21579,plain,
% 15.69/10.90 ((~![VarCurr: $i] : (v114(VarCurr) <=> (v115(VarCurr) | v124(VarCurr)))) | (v114(constB149) <=> (v115(constB149) | v124(constB149)))),
% 15.69/10.90 inference(quant_inst,[status(thm)],[])).
% 15.69/10.90 tff(21580,plain,
% 15.69/10.90 (v114(constB149) <=> (v115(constB149) | v124(constB149))),
% 15.69/10.90 inference(unit_resolution,[status(thm)],[21579, 597])).
% 15.69/10.90 tff(21581,plain,
% 15.69/10.90 ((~![VarCurr: $i] : (v115(VarCurr) <=> (v116(VarCurr) | v123(VarCurr)))) | (v115(constB149) <=> (v116(constB149) | v123(constB149)))),
% 15.69/10.90 inference(quant_inst,[status(thm)],[])).
% 15.69/10.90 tff(21582,plain,
% 15.69/10.90 (v115(constB149) <=> (v116(constB149) | v123(constB149))),
% 15.69/10.90 inference(unit_resolution,[status(thm)],[21581, 606])).
% 15.69/10.90 tff(21583,plain,
% 15.69/10.90 ((~![VarCurr: $i] : (v116(VarCurr) <=> (v117(VarCurr) | v122(VarCurr)))) | (v116(constB149) <=> (v117(constB149) | v122(constB149)))),
% 15.69/10.90 inference(quant_inst,[status(thm)],[])).
% 15.69/10.90 tff(21584,plain,
% 15.69/10.90 (v116(constB149) <=> (v117(constB149) | v122(constB149))),
% 15.69/10.90 inference(unit_resolution,[status(thm)],[21583, 719])).
% 15.69/10.90 tff(21585,plain,
% 15.69/10.90 ((~![VarCurr: $i] : (v117(VarCurr) <=> (v118(VarCurr) | v121(VarCurr)))) | (v117(constB149) <=> (v118(constB149) | v121(constB149)))),
% 15.69/10.90 inference(quant_inst,[status(thm)],[])).
% 15.69/10.90 tff(21586,plain,
% 15.69/10.90 (v117(constB149) <=> (v118(constB149) | v121(constB149))),
% 15.69/10.90 inference(unit_resolution,[status(thm)],[21585, 834])).
% 15.69/10.90 tff(21587,plain,
% 15.69/10.90 (((~![VarCurr: $i] : (v121(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex1)))))) | (v121(constB149) <=> (~(v90(constB149, bitIndex2) | (~v90(constB149, bitIndex1)) | v90(constB149, bitIndex0))))) <=> ((~![VarCurr: $i] : (v121(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex1)))))) | (v121(constB149) <=> (~(v90(constB149, bitIndex2) | (~v90(constB149, bitIndex1)) | v90(constB149, bitIndex0)))))),
% 15.69/10.90 inference(rewrite,[status(thm)],[])).
% 15.69/10.90 tff(21588,plain,
% 15.69/10.90 ((v121(constB149) <=> (~(v90(constB149, bitIndex0) | v90(constB149, bitIndex2) | (~v90(constB149, bitIndex1))))) <=> (v121(constB149) <=> (~(v90(constB149, bitIndex2) | (~v90(constB149, bitIndex1)) | v90(constB149, bitIndex0))))),
% 15.69/10.90 inference(rewrite,[status(thm)],[])).
% 15.69/10.90 tff(21589,plain,
% 15.69/10.90 (((~![VarCurr: $i] : (v121(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex1)))))) | (v121(constB149) <=> (~(v90(constB149, bitIndex0) | v90(constB149, bitIndex2) | (~v90(constB149, bitIndex1)))))) <=> ((~![VarCurr: $i] : (v121(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex1)))))) | (v121(constB149) <=> (~(v90(constB149, bitIndex2) | (~v90(constB149, bitIndex1)) | v90(constB149, bitIndex0)))))),
% 15.69/10.90 inference(monotonicity,[status(thm)],[21588])).
% 15.69/10.90 tff(21590,plain,
% 15.69/10.90 (((~![VarCurr: $i] : (v121(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex1)))))) | (v121(constB149) <=> (~(v90(constB149, bitIndex0) | v90(constB149, bitIndex2) | (~v90(constB149, bitIndex1)))))) <=> ((~![VarCurr: $i] : (v121(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex1)))))) | (v121(constB149) <=> (~(v90(constB149, bitIndex2) | (~v90(constB149, bitIndex1)) | v90(constB149, bitIndex0)))))),
% 15.69/10.90 inference(transitivity,[status(thm)],[21589, 21587])).
% 15.69/10.90 tff(21591,plain,
% 15.69/10.90 ((~![VarCurr: $i] : (v121(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex1)))))) | (v121(constB149) <=> (~(v90(constB149, bitIndex0) | v90(constB149, bitIndex2) | (~v90(constB149, bitIndex1)))))),
% 15.69/10.90 inference(quant_inst,[status(thm)],[])).
% 15.69/10.90 tff(21592,plain,
% 15.69/10.90 ((~![VarCurr: $i] : (v121(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex1)))))) | (v121(constB149) <=> (~(v90(constB149, bitIndex2) | (~v90(constB149, bitIndex1)) | v90(constB149, bitIndex0))))),
% 15.69/10.90 inference(modus_ponens,[status(thm)],[21591, 21590])).
% 15.69/10.90 tff(21593,plain,
% 15.69/10.90 (v121(constB149) <=> (~(v90(constB149, bitIndex2) | (~v90(constB149, bitIndex1)) | v90(constB149, bitIndex0)))),
% 15.69/10.90 inference(unit_resolution,[status(thm)],[21592, 849])).
% 15.69/10.90 tff(21594,plain,
% 15.69/10.90 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB148, constB149)) | (v100(constB149) <=> (~((~v101(constB149)) | (~v110(constB149))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB148, constB149)) | (v100(constB149) <=> (~((~v101(constB149)) | (~v110(constB149))))))),
% 15.69/10.90 inference(rewrite,[status(thm)],[])).
% 15.69/10.90 tff(21595,plain,
% 15.69/10.90 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB148, constB149)) | (v100(constB149) <=> (~((~v101(constB149)) | (~v110(constB149))))))),
% 15.69/10.90 inference(quant_inst,[status(thm)],[])).
% 15.69/10.90 tff(21596,plain,
% 15.69/10.90 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB148, constB149)) | (v100(constB149) <=> (~((~v101(constB149)) | (~v110(constB149)))))),
% 15.69/10.90 inference(modus_ponens,[status(thm)],[21595, 21594])).
% 15.69/10.90 tff(21597,plain,
% 15.69/10.90 (v100(constB149) <=> (~((~v101(constB149)) | (~v110(constB149))))),
% 15.69/10.90 inference(unit_resolution,[status(thm)],[21596, 13539, 430])).
% 15.69/10.90 tff(21598,plain,
% 15.69/10.90 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB148, constB149)) | (v101(constB149) <=> (~((~v1(constB149)) | (~v102(constB149))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB148, constB149)) | (v101(constB149) <=> (~((~v1(constB149)) | (~v102(constB149))))))),
% 15.69/10.90 inference(rewrite,[status(thm)],[])).
% 15.69/10.90 tff(21599,plain,
% 15.69/10.90 (((~nextState(constB148, constB149)) | (v101(constB149) <=> (~((~v102(constB149)) | (~v1(constB149)))))) <=> ((~nextState(constB148, constB149)) | (v101(constB149) <=> (~((~v1(constB149)) | (~v102(constB149))))))),
% 15.69/10.90 inference(rewrite,[status(thm)],[])).
% 15.69/10.90 tff(21600,plain,
% 15.69/10.90 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB148, constB149)) | (v101(constB149) <=> (~((~v102(constB149)) | (~v1(constB149))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB148, constB149)) | (v101(constB149) <=> (~((~v1(constB149)) | (~v102(constB149)))))))),
% 15.69/10.90 inference(monotonicity,[status(thm)],[21599])).
% 15.69/10.90 tff(21601,plain,
% 15.69/10.90 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB148, constB149)) | (v101(constB149) <=> (~((~v102(constB149)) | (~v1(constB149))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB148, constB149)) | (v101(constB149) <=> (~((~v1(constB149)) | (~v102(constB149))))))),
% 15.69/10.90 inference(transitivity,[status(thm)],[21600, 21598])).
% 15.69/10.90 tff(21602,plain,
% 15.69/10.90 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB148, constB149)) | (v101(constB149) <=> (~((~v102(constB149)) | (~v1(constB149))))))),
% 15.69/10.90 inference(quant_inst,[status(thm)],[])).
% 15.69/10.90 tff(21603,plain,
% 15.69/10.90 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB148, constB149)) | (v101(constB149) <=> (~((~v1(constB149)) | (~v102(constB149)))))),
% 15.69/10.90 inference(modus_ponens,[status(thm)],[21602, 21601])).
% 15.69/10.90 tff(21604,plain,
% 15.69/10.90 (v101(constB149) <=> (~((~v1(constB149)) | (~v102(constB149))))),
% 15.69/10.90 inference(unit_resolution,[status(thm)],[21603, 13539, 450])).
% 15.69/10.90 tff(21605,plain,
% 15.69/10.90 (((~v1(constB149)) | (~v102(constB149))) | v1(constB149)),
% 15.69/10.90 inference(tautology,[status(thm)],[])).
% 15.69/10.90 tff(21606,plain,
% 15.69/10.90 ((~v1(constB149)) | (~v102(constB149))),
% 15.69/10.90 inference(unit_resolution,[status(thm)],[21605, 13502])).
% 15.69/10.90 tff(21607,plain,
% 15.69/10.90 ((~(v101(constB149) <=> (~((~v1(constB149)) | (~v102(constB149)))))) | (~v101(constB149)) | (~((~v1(constB149)) | (~v102(constB149))))),
% 15.69/10.90 inference(tautology,[status(thm)],[])).
% 15.69/10.90 tff(21608,plain,
% 15.69/10.90 ((~(v101(constB149) <=> (~((~v1(constB149)) | (~v102(constB149)))))) | (~v101(constB149))),
% 15.69/10.90 inference(unit_resolution,[status(thm)],[21607, 21606])).
% 15.69/10.90 tff(21609,plain,
% 15.69/10.90 (~v101(constB149)),
% 15.69/10.90 inference(unit_resolution,[status(thm)],[21608, 21604])).
% 15.69/10.90 tff(21610,plain,
% 15.69/10.90 (((~v101(constB149)) | (~v110(constB149))) | v101(constB149)),
% 15.69/10.90 inference(tautology,[status(thm)],[])).
% 15.69/10.90 tff(21611,plain,
% 15.69/10.90 ((~v101(constB149)) | (~v110(constB149))),
% 15.69/10.90 inference(unit_resolution,[status(thm)],[21610, 21609])).
% 15.69/10.90 tff(21612,plain,
% 15.69/10.90 ((~(v100(constB149) <=> (~((~v101(constB149)) | (~v110(constB149)))))) | (~v100(constB149)) | (~((~v101(constB149)) | (~v110(constB149))))),
% 15.69/10.90 inference(tautology,[status(thm)],[])).
% 15.69/10.90 tff(21613,plain,
% 15.69/10.90 (~v100(constB149)),
% 15.69/10.90 inference(unit_resolution,[status(thm)],[21612, 21611, 21597])).
% 15.69/10.90 tff(21614,plain,
% 15.69/10.90 (((~![VarCurr: $i, VarNext: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v90(VarCurr, B))))) | (v100(constB149) | (~nextState(constB148, constB149)) | ![B: $i] : ((~less_3(B)) | (v90(constB149, B) <=> v90(constB148, B))))) <=> ((~![VarCurr: $i, VarNext: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v90(VarCurr, B))))) | v100(constB149) | (~nextState(constB148, constB149)) | ![B: $i] : ((~less_3(B)) | (v90(constB149, B) <=> v90(constB148, B))))),
% 15.69/10.90 inference(rewrite,[status(thm)],[])).
% 15.69/10.90 tff(21615,plain,
% 15.69/10.90 ((~![VarCurr: $i, VarNext: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v90(VarCurr, B))))) | (v100(constB149) | (~nextState(constB148, constB149)) | ![B: $i] : ((~less_3(B)) | (v90(constB149, B) <=> v90(constB148, B))))),
% 15.69/10.90 inference(quant_inst,[status(thm)],[])).
% 15.69/10.90 tff(21616,plain,
% 15.69/10.90 ((~![VarCurr: $i, VarNext: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v90(VarCurr, B))))) | v100(constB149) | (~nextState(constB148, constB149)) | ![B: $i] : ((~less_3(B)) | (v90(constB149, B) <=> v90(constB148, B)))),
% 15.69/10.90 inference(modus_ponens,[status(thm)],[21615, 21614])).
% 15.69/10.90 tff(21617,plain,
% 15.69/10.90 (v100(constB149) | ![B: $i] : ((~less_3(B)) | (v90(constB149, B) <=> v90(constB148, B)))),
% 15.69/10.90 inference(unit_resolution,[status(thm)],[21616, 13539, 479])).
% 15.69/10.90 tff(21618,plain,
% 15.69/10.90 (![B: $i] : ((~less_3(B)) | (v90(constB149, B) <=> v90(constB148, B)))),
% 15.69/10.90 inference(unit_resolution,[status(thm)],[21617, 21613])).
% 15.69/10.90 tff(21619,plain,
% 15.69/10.90 (((~![B: $i] : ((~less_3(B)) | (v90(constB149, B) <=> v90(constB148, B)))) | ((~less_3(bitIndex2)) | (v90(constB149, bitIndex2) <=> v90(constB148, bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v90(constB149, B) <=> v90(constB148, B)))) | (~less_3(bitIndex2)) | (v90(constB149, bitIndex2) <=> v90(constB148, bitIndex2)))),
% 15.69/10.90 inference(rewrite,[status(thm)],[])).
% 15.69/10.90 tff(21620,plain,
% 15.69/10.90 ((~![B: $i] : ((~less_3(B)) | (v90(constB149, B) <=> v90(constB148, B)))) | ((~less_3(bitIndex2)) | (v90(constB149, bitIndex2) <=> v90(constB148, bitIndex2)))),
% 15.69/10.90 inference(quant_inst,[status(thm)],[])).
% 15.69/10.90 tff(21621,plain,
% 15.69/10.90 ((~![B: $i] : ((~less_3(B)) | (v90(constB149, B) <=> v90(constB148, B)))) | (~less_3(bitIndex2)) | (v90(constB149, bitIndex2) <=> v90(constB148, bitIndex2))),
% 15.69/10.90 inference(modus_ponens,[status(thm)],[21620, 21619])).
% 15.69/10.90 tff(21622,plain,
% 15.69/10.90 (v90(constB149, bitIndex2) <=> v90(constB148, bitIndex2)),
% 15.69/10.90 inference(unit_resolution,[status(thm)],[21621, 413, 21618])).
% 15.69/10.90 tff(21623,plain,
% 15.69/10.90 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB147, constB148)) | (v100(constB148) <=> (~((~v101(constB148)) | (~v110(constB148))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB147, constB148)) | (v100(constB148) <=> (~((~v101(constB148)) | (~v110(constB148))))))),
% 15.69/10.90 inference(rewrite,[status(thm)],[])).
% 15.69/10.90 tff(21624,plain,
% 15.69/10.90 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB147, constB148)) | (v100(constB148) <=> (~((~v101(constB148)) | (~v110(constB148))))))),
% 15.69/10.90 inference(quant_inst,[status(thm)],[])).
% 15.69/10.90 tff(21625,plain,
% 15.69/10.90 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB147, constB148)) | (v100(constB148) <=> (~((~v101(constB148)) | (~v110(constB148)))))),
% 15.69/10.90 inference(modus_ponens,[status(thm)],[21624, 21623])).
% 15.69/10.90 tff(21626,plain,
% 15.69/10.90 (v100(constB148) <=> (~((~v101(constB148)) | (~v110(constB148))))),
% 15.69/10.90 inference(unit_resolution,[status(thm)],[21625, 13591, 430])).
% 15.69/10.90 tff(21627,plain,
% 15.69/10.90 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB147, constB148)) | (v101(constB148) <=> (~((~v1(constB148)) | (~v102(constB148))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB147, constB148)) | (v101(constB148) <=> (~((~v1(constB148)) | (~v102(constB148))))))),
% 15.69/10.90 inference(rewrite,[status(thm)],[])).
% 15.69/10.90 tff(21628,plain,
% 15.69/10.90 (((~nextState(constB147, constB148)) | (v101(constB148) <=> (~((~v102(constB148)) | (~v1(constB148)))))) <=> ((~nextState(constB147, constB148)) | (v101(constB148) <=> (~((~v1(constB148)) | (~v102(constB148))))))),
% 15.69/10.91 inference(rewrite,[status(thm)],[])).
% 15.69/10.91 tff(21629,plain,
% 15.69/10.91 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB147, constB148)) | (v101(constB148) <=> (~((~v102(constB148)) | (~v1(constB148))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB147, constB148)) | (v101(constB148) <=> (~((~v1(constB148)) | (~v102(constB148)))))))),
% 15.69/10.91 inference(monotonicity,[status(thm)],[21628])).
% 15.69/10.91 tff(21630,plain,
% 15.69/10.91 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB147, constB148)) | (v101(constB148) <=> (~((~v102(constB148)) | (~v1(constB148))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB147, constB148)) | (v101(constB148) <=> (~((~v1(constB148)) | (~v102(constB148))))))),
% 15.69/10.91 inference(transitivity,[status(thm)],[21629, 21627])).
% 15.69/10.91 tff(21631,plain,
% 15.69/10.91 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB147, constB148)) | (v101(constB148) <=> (~((~v102(constB148)) | (~v1(constB148))))))),
% 15.69/10.91 inference(quant_inst,[status(thm)],[])).
% 15.69/10.91 tff(21632,plain,
% 15.69/10.91 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB147, constB148)) | (v101(constB148) <=> (~((~v1(constB148)) | (~v102(constB148)))))),
% 15.69/10.91 inference(modus_ponens,[status(thm)],[21631, 21630])).
% 15.69/10.91 tff(21633,plain,
% 15.69/10.91 (v101(constB148) <=> (~((~v1(constB148)) | (~v102(constB148))))),
% 15.69/10.91 inference(unit_resolution,[status(thm)],[21632, 13591, 450])).
% 15.69/10.91 tff(21634,plain,
% 15.69/10.91 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | ((~nextState(constB147, constB148)) | ((~v102(constB148)) <=> v104(constB148)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | (~nextState(constB147, constB148)) | ((~v102(constB148)) <=> v104(constB148)))),
% 15.69/10.91 inference(rewrite,[status(thm)],[])).
% 15.69/10.91 tff(21635,plain,
% 15.69/10.91 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | ((~nextState(constB147, constB148)) | ((~v102(constB148)) <=> v104(constB148)))),
% 15.69/10.91 inference(quant_inst,[status(thm)],[])).
% 15.69/10.91 tff(21636,plain,
% 15.69/10.91 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | (~nextState(constB147, constB148)) | ((~v102(constB148)) <=> v104(constB148))),
% 15.69/10.91 inference(modus_ponens,[status(thm)],[21635, 21634])).
% 15.69/10.91 tff(21637,plain,
% 15.69/10.91 ((~v102(constB148)) <=> v104(constB148)),
% 15.69/10.91 inference(unit_resolution,[status(thm)],[21636, 13591, 512])).
% 15.69/10.91 tff(21638,plain,
% 15.69/10.91 ((~((~v102(constB148)) <=> v104(constB148))) | v102(constB148) | v104(constB148)),
% 15.69/10.91 inference(tautology,[status(thm)],[])).
% 15.69/10.91 tff(21639,plain,
% 15.69/10.91 (v102(constB148)),
% 15.69/10.91 inference(unit_resolution,[status(thm)],[21638, 13626, 21637])).
% 15.69/10.91 tff(21640,plain,
% 15.69/10.91 ((~((~v1(constB148)) | (~v102(constB148)))) | (~v1(constB148)) | (~v102(constB148))),
% 15.69/10.91 inference(tautology,[status(thm)],[])).
% 15.69/10.91 tff(21641,plain,
% 15.69/10.91 ((~((~v1(constB148)) | (~v102(constB148)))) | (~v102(constB148))),
% 15.69/10.91 inference(unit_resolution,[status(thm)],[21640, 13631])).
% 15.69/10.91 tff(21642,plain,
% 15.69/10.91 (~((~v1(constB148)) | (~v102(constB148)))),
% 15.69/10.91 inference(unit_resolution,[status(thm)],[21641, 21639])).
% 15.69/10.91 tff(21643,plain,
% 15.69/10.91 ((~(v101(constB148) <=> (~((~v1(constB148)) | (~v102(constB148)))))) | v101(constB148) | ((~v1(constB148)) | (~v102(constB148)))),
% 15.69/10.91 inference(tautology,[status(thm)],[])).
% 15.69/10.91 tff(21644,plain,
% 15.69/10.91 (v101(constB148)),
% 15.69/10.91 inference(unit_resolution,[status(thm)],[21643, 21642, 21633])).
% 15.69/10.91 tff(21645,plain,
% 15.69/10.91 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | ((~nextState(constB147, constB148)) | (v110(constB148) <=> v108(constB147)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | (~nextState(constB147, constB148)) | (v110(constB148) <=> v108(constB147)))),
% 15.69/10.91 inference(rewrite,[status(thm)],[])).
% 15.69/10.91 tff(21646,plain,
% 15.69/10.91 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | ((~nextState(constB147, constB148)) | (v110(constB148) <=> v108(constB147)))),
% 15.69/10.91 inference(quant_inst,[status(thm)],[])).
% 15.69/10.91 tff(21647,plain,
% 15.69/10.91 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | (~nextState(constB147, constB148)) | (v110(constB148) <=> v108(constB147))),
% 15.69/10.91 inference(modus_ponens,[status(thm)],[21646, 21645])).
% 15.69/10.91 tff(21648,plain,
% 15.69/10.91 (v110(constB148) <=> v108(constB147)),
% 15.69/10.91 inference(unit_resolution,[status(thm)],[21647, 13591, 556])).
% 15.69/10.91 tff(21649,plain,
% 15.69/10.91 ((~![VarCurr: $i] : (v108(VarCurr) <=> (v111(VarCurr) | v112(VarCurr)))) | (v108(constB147) <=> (v111(constB147) | v112(constB147)))),
% 15.69/10.91 inference(quant_inst,[status(thm)],[])).
% 15.69/10.91 tff(21650,plain,
% 15.69/10.91 (v108(constB147) <=> (v111(constB147) | v112(constB147))),
% 15.69/10.91 inference(unit_resolution,[status(thm)],[21649, 567])).
% 15.69/10.91 tff(21651,plain,
% 15.69/10.91 ((~![VarCurr: $i] : (v112(VarCurr) <=> (~((~v113(VarCurr)) | (~v126(VarCurr)))))) | (v112(constB147) <=> (~((~v113(constB147)) | (~v126(constB147)))))),
% 15.69/10.91 inference(quant_inst,[status(thm)],[])).
% 15.69/10.91 tff(21652,plain,
% 15.69/10.91 (v112(constB147) <=> (~((~v113(constB147)) | (~v126(constB147))))),
% 15.69/10.91 inference(unit_resolution,[status(thm)],[21651, 579])).
% 15.69/10.91 tff(21653,plain,
% 15.69/10.91 ((~![VarCurr: $i] : (v113(VarCurr) <=> (v114(VarCurr) | v125(VarCurr)))) | (v113(constB147) <=> (v114(constB147) | v125(constB147)))),
% 15.69/10.91 inference(quant_inst,[status(thm)],[])).
% 15.69/10.91 tff(21654,plain,
% 15.69/10.91 (v113(constB147) <=> (v114(constB147) | v125(constB147))),
% 15.69/10.91 inference(unit_resolution,[status(thm)],[21653, 588])).
% 15.69/10.91 tff(21655,plain,
% 15.69/10.91 ((~![VarCurr: $i] : (v114(VarCurr) <=> (v115(VarCurr) | v124(VarCurr)))) | (v114(constB147) <=> (v115(constB147) | v124(constB147)))),
% 15.69/10.91 inference(quant_inst,[status(thm)],[])).
% 15.69/10.91 tff(21656,plain,
% 15.69/10.91 (v114(constB147) <=> (v115(constB147) | v124(constB147))),
% 15.69/10.91 inference(unit_resolution,[status(thm)],[21655, 597])).
% 15.69/10.91 tff(21657,plain,
% 15.69/10.91 ((~![VarCurr: $i] : (v115(VarCurr) <=> (v116(VarCurr) | v123(VarCurr)))) | (v115(constB147) <=> (v116(constB147) | v123(constB147)))),
% 15.69/10.91 inference(quant_inst,[status(thm)],[])).
% 15.69/10.91 tff(21658,plain,
% 15.69/10.91 (v115(constB147) <=> (v116(constB147) | v123(constB147))),
% 15.69/10.91 inference(unit_resolution,[status(thm)],[21657, 606])).
% 15.69/10.91 tff(21659,plain,
% 15.69/10.91 ((~![VarCurr: $i] : (v116(VarCurr) <=> (v117(VarCurr) | v122(VarCurr)))) | (v116(constB147) <=> (v117(constB147) | v122(constB147)))),
% 15.69/10.91 inference(quant_inst,[status(thm)],[])).
% 15.69/10.91 tff(21660,plain,
% 15.69/10.91 (v116(constB147) <=> (v117(constB147) | v122(constB147))),
% 15.69/10.91 inference(unit_resolution,[status(thm)],[21659, 719])).
% 15.69/10.91 tff(21661,plain,
% 15.69/10.91 ((~![VarCurr: $i] : (v117(VarCurr) <=> (v118(VarCurr) | v121(VarCurr)))) | (v117(constB147) <=> (v118(constB147) | v121(constB147)))),
% 15.69/10.91 inference(quant_inst,[status(thm)],[])).
% 15.69/10.91 tff(21662,plain,
% 15.69/10.91 (v117(constB147) <=> (v118(constB147) | v121(constB147))),
% 15.69/10.91 inference(unit_resolution,[status(thm)],[21661, 834])).
% 15.69/10.91 tff(21663,plain,
% 15.69/10.91 ((~![VarCurr: $i] : (v118(VarCurr) <=> (v119(VarCurr) | v120(VarCurr)))) | (v118(constB147) <=> (v119(constB147) | v120(constB147)))),
% 15.69/10.91 inference(quant_inst,[status(thm)],[])).
% 15.69/10.91 tff(21664,plain,
% 15.69/10.91 (v118(constB147) <=> (v119(constB147) | v120(constB147))),
% 15.69/10.91 inference(unit_resolution,[status(thm)],[21663, 951])).
% 15.69/10.91 tff(21665,plain,
% 15.69/10.91 (((~![VarCurr: $i] : (v120(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)))))) | (v120(constB147) <=> (~(v90(constB147, bitIndex2) | v90(constB147, bitIndex1) | (~v90(constB147, bitIndex0)))))) <=> ((~![VarCurr: $i] : (v120(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)))))) | (v120(constB147) <=> (~(v90(constB147, bitIndex2) | v90(constB147, bitIndex1) | (~v90(constB147, bitIndex0))))))),
% 15.69/10.91 inference(rewrite,[status(thm)],[])).
% 15.69/10.91 tff(21666,plain,
% 15.69/10.91 ((v120(constB147) <=> (~(v90(constB147, bitIndex1) | v90(constB147, bitIndex2) | (~v90(constB147, bitIndex0))))) <=> (v120(constB147) <=> (~(v90(constB147, bitIndex2) | v90(constB147, bitIndex1) | (~v90(constB147, bitIndex0)))))),
% 15.69/10.91 inference(rewrite,[status(thm)],[])).
% 15.69/10.91 tff(21667,plain,
% 15.69/10.91 (((~![VarCurr: $i] : (v120(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)))))) | (v120(constB147) <=> (~(v90(constB147, bitIndex1) | v90(constB147, bitIndex2) | (~v90(constB147, bitIndex0)))))) <=> ((~![VarCurr: $i] : (v120(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)))))) | (v120(constB147) <=> (~(v90(constB147, bitIndex2) | v90(constB147, bitIndex1) | (~v90(constB147, bitIndex0))))))),
% 15.69/10.91 inference(monotonicity,[status(thm)],[21666])).
% 15.69/10.91 tff(21668,plain,
% 15.69/10.91 (((~![VarCurr: $i] : (v120(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)))))) | (v120(constB147) <=> (~(v90(constB147, bitIndex1) | v90(constB147, bitIndex2) | (~v90(constB147, bitIndex0)))))) <=> ((~![VarCurr: $i] : (v120(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)))))) | (v120(constB147) <=> (~(v90(constB147, bitIndex2) | v90(constB147, bitIndex1) | (~v90(constB147, bitIndex0))))))),
% 15.69/10.91 inference(transitivity,[status(thm)],[21667, 21665])).
% 15.69/10.91 tff(21669,plain,
% 15.69/10.91 ((~![VarCurr: $i] : (v120(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)))))) | (v120(constB147) <=> (~(v90(constB147, bitIndex1) | v90(constB147, bitIndex2) | (~v90(constB147, bitIndex0)))))),
% 15.69/10.91 inference(quant_inst,[status(thm)],[])).
% 15.69/10.91 tff(21670,plain,
% 15.69/10.91 ((~![VarCurr: $i] : (v120(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)))))) | (v120(constB147) <=> (~(v90(constB147, bitIndex2) | v90(constB147, bitIndex1) | (~v90(constB147, bitIndex0)))))),
% 15.69/10.91 inference(modus_ponens,[status(thm)],[21669, 21668])).
% 15.69/10.91 tff(21671,plain,
% 15.69/10.91 (v120(constB147) <=> (~(v90(constB147, bitIndex2) | v90(constB147, bitIndex1) | (~v90(constB147, bitIndex0))))),
% 15.69/10.91 inference(unit_resolution,[status(thm)],[21670, 966])).
% 15.69/10.91 tff(21672,plain,
% 15.69/10.91 ((~(v90(constB147, bitIndex2) | v90(constB147, bitIndex1) | (~v90(constB147, bitIndex0)))) | v90(constB147, bitIndex2) | v90(constB147, bitIndex1) | (~v90(constB147, bitIndex0))),
% 15.69/10.91 inference(tautology,[status(thm)],[])).
% 15.69/10.91 tff(21673,plain,
% 15.69/10.91 (~(v90(constB147, bitIndex2) | v90(constB147, bitIndex1) | (~v90(constB147, bitIndex0)))),
% 15.69/10.91 inference(unit_resolution,[status(thm)],[21672, 20473, 20436, 20399])).
% 15.69/10.91 tff(21674,plain,
% 15.69/10.91 ((~(v120(constB147) <=> (~(v90(constB147, bitIndex2) | v90(constB147, bitIndex1) | (~v90(constB147, bitIndex0)))))) | v120(constB147) | (v90(constB147, bitIndex2) | v90(constB147, bitIndex1) | (~v90(constB147, bitIndex0)))),
% 15.69/10.91 inference(tautology,[status(thm)],[])).
% 15.69/10.91 tff(21675,plain,
% 15.69/10.91 (v120(constB147)),
% 15.69/10.91 inference(unit_resolution,[status(thm)],[21674, 21673, 21671])).
% 15.69/10.91 tff(21676,plain,
% 15.69/10.91 ((v119(constB147) | v120(constB147)) | (~v120(constB147))),
% 15.69/10.91 inference(tautology,[status(thm)],[])).
% 15.69/10.91 tff(21677,plain,
% 15.69/10.91 (v119(constB147) | v120(constB147)),
% 15.69/10.91 inference(unit_resolution,[status(thm)],[21676, 21675])).
% 15.69/10.91 tff(21678,plain,
% 15.69/10.91 ((~(v118(constB147) <=> (v119(constB147) | v120(constB147)))) | v118(constB147) | (~(v119(constB147) | v120(constB147)))),
% 15.69/10.91 inference(tautology,[status(thm)],[])).
% 15.69/10.91 tff(21679,plain,
% 15.69/10.91 (v118(constB147)),
% 15.69/10.91 inference(unit_resolution,[status(thm)],[21678, 21677, 21664])).
% 15.69/10.91 tff(21680,plain,
% 15.69/10.91 ((v118(constB147) | v121(constB147)) | (~v118(constB147))),
% 15.69/10.91 inference(tautology,[status(thm)],[])).
% 15.69/10.91 tff(21681,plain,
% 15.69/10.91 (v118(constB147) | v121(constB147)),
% 15.69/10.91 inference(unit_resolution,[status(thm)],[21680, 21679])).
% 15.69/10.91 tff(21682,plain,
% 15.69/10.91 ((~(v117(constB147) <=> (v118(constB147) | v121(constB147)))) | v117(constB147) | (~(v118(constB147) | v121(constB147)))),
% 15.69/10.91 inference(tautology,[status(thm)],[])).
% 15.69/10.91 tff(21683,plain,
% 15.69/10.91 (v117(constB147)),
% 15.69/10.91 inference(unit_resolution,[status(thm)],[21682, 21681, 21662])).
% 15.69/10.91 tff(21684,plain,
% 15.69/10.91 ((v117(constB147) | v122(constB147)) | (~v117(constB147))),
% 15.69/10.91 inference(tautology,[status(thm)],[])).
% 15.69/10.91 tff(21685,plain,
% 15.69/10.91 (v117(constB147) | v122(constB147)),
% 15.69/10.91 inference(unit_resolution,[status(thm)],[21684, 21683])).
% 15.69/10.91 tff(21686,plain,
% 15.69/10.91 ((~(v116(constB147) <=> (v117(constB147) | v122(constB147)))) | v116(constB147) | (~(v117(constB147) | v122(constB147)))),
% 15.69/10.91 inference(tautology,[status(thm)],[])).
% 15.69/10.91 tff(21687,plain,
% 15.69/10.91 (v116(constB147)),
% 15.69/10.91 inference(unit_resolution,[status(thm)],[21686, 21685, 21660])).
% 15.69/10.91 tff(21688,plain,
% 15.69/10.91 ((v116(constB147) | v123(constB147)) | (~v116(constB147))),
% 15.69/10.91 inference(tautology,[status(thm)],[])).
% 15.69/10.91 tff(21689,plain,
% 15.69/10.91 (v116(constB147) | v123(constB147)),
% 15.69/10.91 inference(unit_resolution,[status(thm)],[21688, 21687])).
% 15.69/10.91 tff(21690,plain,
% 15.69/10.91 ((~(v115(constB147) <=> (v116(constB147) | v123(constB147)))) | v115(constB147) | (~(v116(constB147) | v123(constB147)))),
% 15.69/10.91 inference(tautology,[status(thm)],[])).
% 15.69/10.91 tff(21691,plain,
% 15.69/10.91 (v115(constB147)),
% 15.69/10.91 inference(unit_resolution,[status(thm)],[21690, 21689, 21658])).
% 15.69/10.91 tff(21692,plain,
% 15.69/10.91 ((v115(constB147) | v124(constB147)) | (~v115(constB147))),
% 15.69/10.91 inference(tautology,[status(thm)],[])).
% 15.69/10.91 tff(21693,plain,
% 15.69/10.91 (v115(constB147) | v124(constB147)),
% 15.69/10.91 inference(unit_resolution,[status(thm)],[21692, 21691])).
% 15.69/10.91 tff(21694,plain,
% 15.69/10.91 ((~(v114(constB147) <=> (v115(constB147) | v124(constB147)))) | v114(constB147) | (~(v115(constB147) | v124(constB147)))),
% 15.69/10.91 inference(tautology,[status(thm)],[])).
% 15.69/10.91 tff(21695,plain,
% 15.69/10.91 (v114(constB147)),
% 15.69/10.91 inference(unit_resolution,[status(thm)],[21694, 21693, 21656])).
% 15.69/10.91 tff(21696,plain,
% 15.69/10.91 ((v114(constB147) | v125(constB147)) | (~v114(constB147))),
% 15.69/10.91 inference(tautology,[status(thm)],[])).
% 15.69/10.91 tff(21697,plain,
% 15.69/10.91 (v114(constB147) | v125(constB147)),
% 15.69/10.91 inference(unit_resolution,[status(thm)],[21696, 21695])).
% 15.69/10.91 tff(21698,plain,
% 15.69/10.91 ((~(v113(constB147) <=> (v114(constB147) | v125(constB147)))) | v113(constB147) | (~(v114(constB147) | v125(constB147)))),
% 15.69/10.91 inference(tautology,[status(thm)],[])).
% 15.69/10.91 tff(21699,plain,
% 15.69/10.91 (v113(constB147)),
% 15.69/10.91 inference(unit_resolution,[status(thm)],[21698, 21697, 21654])).
% 15.69/10.91 tff(21700,plain,
% 15.69/10.91 ((~![VarCurr: $i] : ((~v126(VarCurr)) <=> v111(VarCurr))) | ((~v126(constB147)) <=> v111(constB147))),
% 15.69/10.91 inference(quant_inst,[status(thm)],[])).
% 15.69/10.91 tff(21701,plain,
% 15.69/10.91 ((~v126(constB147)) <=> v111(constB147)),
% 15.69/10.91 inference(unit_resolution,[status(thm)],[21700, 5074])).
% 15.69/10.91 tff(21702,plain,
% 15.69/10.91 ((~![VarCurr: $i] : (v111(VarCurr) <=> v26(VarCurr))) | (v111(constB147) <=> v26(constB147))),
% 15.69/10.91 inference(quant_inst,[status(thm)],[])).
% 15.69/10.91 tff(21703,plain,
% 15.69/10.91 (v111(constB147) <=> v26(constB147)),
% 15.69/10.91 inference(unit_resolution,[status(thm)],[21702, 5086])).
% 15.69/10.91 tff(21704,plain,
% 15.69/10.91 ((~![VarCurr: $i] : (~v26(VarCurr))) | (~v26(constB147))),
% 15.69/10.91 inference(quant_inst,[status(thm)],[])).
% 15.69/10.91 tff(21705,plain,
% 15.69/10.91 (~v26(constB147)),
% 15.69/10.91 inference(unit_resolution,[status(thm)],[21704, 5098])).
% 15.69/10.91 tff(21706,plain,
% 15.69/10.91 ((~(v111(constB147) <=> v26(constB147))) | (~v111(constB147)) | v26(constB147)),
% 15.69/10.91 inference(tautology,[status(thm)],[])).
% 15.69/10.91 tff(21707,plain,
% 15.69/10.91 ((~(v111(constB147) <=> v26(constB147))) | (~v111(constB147))),
% 15.69/10.91 inference(unit_resolution,[status(thm)],[21706, 21705])).
% 15.69/10.91 tff(21708,plain,
% 15.69/10.91 (~v111(constB147)),
% 15.69/10.91 inference(unit_resolution,[status(thm)],[21707, 21703])).
% 15.69/10.91 tff(21709,plain,
% 15.69/10.91 ((~((~v126(constB147)) <=> v111(constB147))) | v126(constB147) | v111(constB147)),
% 15.69/10.91 inference(tautology,[status(thm)],[])).
% 15.69/10.91 tff(21710,plain,
% 15.69/10.91 ((~((~v126(constB147)) <=> v111(constB147))) | v126(constB147)),
% 15.69/10.91 inference(unit_resolution,[status(thm)],[21709, 21708])).
% 15.69/10.91 tff(21711,plain,
% 15.69/10.91 (v126(constB147)),
% 15.69/10.91 inference(unit_resolution,[status(thm)],[21710, 21701])).
% 15.69/10.92 tff(21712,plain,
% 15.69/10.92 ((~((~v113(constB147)) | (~v126(constB147)))) | (~v113(constB147)) | (~v126(constB147))),
% 15.69/10.92 inference(tautology,[status(thm)],[])).
% 15.69/10.92 tff(21713,plain,
% 15.69/10.92 ((~((~v113(constB147)) | (~v126(constB147)))) | (~v113(constB147))),
% 15.69/10.92 inference(unit_resolution,[status(thm)],[21712, 21711])).
% 15.69/10.92 tff(21714,plain,
% 15.69/10.92 (~((~v113(constB147)) | (~v126(constB147)))),
% 15.69/10.92 inference(unit_resolution,[status(thm)],[21713, 21699])).
% 15.69/10.92 tff(21715,plain,
% 15.69/10.92 ((~(v112(constB147) <=> (~((~v113(constB147)) | (~v126(constB147)))))) | v112(constB147) | ((~v113(constB147)) | (~v126(constB147)))),
% 15.69/10.92 inference(tautology,[status(thm)],[])).
% 15.69/10.92 tff(21716,plain,
% 15.69/10.92 (v112(constB147)),
% 15.69/10.92 inference(unit_resolution,[status(thm)],[21715, 21714, 21652])).
% 15.69/10.92 tff(21717,plain,
% 15.69/10.92 ((v111(constB147) | v112(constB147)) | (~v112(constB147))),
% 15.69/10.92 inference(tautology,[status(thm)],[])).
% 15.69/10.92 tff(21718,plain,
% 15.69/10.92 (v111(constB147) | v112(constB147)),
% 15.69/10.92 inference(unit_resolution,[status(thm)],[21717, 21716])).
% 15.69/10.92 tff(21719,plain,
% 15.69/10.92 ((~(v108(constB147) <=> (v111(constB147) | v112(constB147)))) | v108(constB147) | (~(v111(constB147) | v112(constB147)))),
% 15.69/10.92 inference(tautology,[status(thm)],[])).
% 15.69/10.92 tff(21720,plain,
% 15.69/10.92 (v108(constB147)),
% 15.69/10.92 inference(unit_resolution,[status(thm)],[21719, 21718, 21650])).
% 15.69/10.92 tff(21721,plain,
% 15.69/10.92 ((~(v110(constB148) <=> v108(constB147))) | v110(constB148) | (~v108(constB147))),
% 15.69/10.92 inference(tautology,[status(thm)],[])).
% 15.69/10.92 tff(21722,plain,
% 15.69/10.92 (v110(constB148)),
% 15.69/10.92 inference(unit_resolution,[status(thm)],[21721, 21720, 21648])).
% 15.69/10.92 tff(21723,plain,
% 15.69/10.92 ((~((~v101(constB148)) | (~v110(constB148)))) | (~v101(constB148)) | (~v110(constB148))),
% 15.69/10.92 inference(tautology,[status(thm)],[])).
% 15.69/10.92 tff(21724,plain,
% 15.69/10.92 (~((~v101(constB148)) | (~v110(constB148)))),
% 15.69/10.92 inference(unit_resolution,[status(thm)],[21723, 21722, 21644])).
% 15.69/10.92 tff(21725,plain,
% 15.69/10.92 ((~(v100(constB148) <=> (~((~v101(constB148)) | (~v110(constB148)))))) | v100(constB148) | ((~v101(constB148)) | (~v110(constB148)))),
% 15.69/10.92 inference(tautology,[status(thm)],[])).
% 15.69/10.92 tff(21726,plain,
% 15.69/10.92 (v100(constB148)),
% 15.69/10.92 inference(unit_resolution,[status(thm)],[21725, 21724, 21626])).
% 15.69/10.92 tff(21727,plain,
% 15.69/10.92 (((~![VarNext: $i] : ((~v100(VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v129(VarNext, B))))) | ((~v100(constB148)) | ![B: $i] : ((~less_3(B)) | (v90(constB148, B) <=> v129(constB148, B))))) <=> ((~![VarNext: $i] : ((~v100(VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v129(VarNext, B))))) | (~v100(constB148)) | ![B: $i] : ((~less_3(B)) | (v90(constB148, B) <=> v129(constB148, B))))),
% 15.69/10.92 inference(rewrite,[status(thm)],[])).
% 15.69/10.92 tff(21728,plain,
% 15.69/10.92 ((~![VarNext: $i] : ((~v100(VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v129(VarNext, B))))) | ((~v100(constB148)) | ![B: $i] : ((~less_3(B)) | (v90(constB148, B) <=> v129(constB148, B))))),
% 15.69/10.92 inference(quant_inst,[status(thm)],[])).
% 15.69/10.92 tff(21729,plain,
% 15.69/10.92 ((~![VarNext: $i] : ((~v100(VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v129(VarNext, B))))) | (~v100(constB148)) | ![B: $i] : ((~less_3(B)) | (v90(constB148, B) <=> v129(constB148, B)))),
% 15.69/10.92 inference(modus_ponens,[status(thm)],[21728, 21727])).
% 15.69/10.92 tff(21730,plain,
% 15.69/10.92 ((~v100(constB148)) | ![B: $i] : ((~less_3(B)) | (v90(constB148, B) <=> v129(constB148, B)))),
% 15.69/10.92 inference(unit_resolution,[status(thm)],[21729, 5134])).
% 15.69/10.92 tff(21731,plain,
% 15.69/10.92 (![B: $i] : ((~less_3(B)) | (v90(constB148, B) <=> v129(constB148, B)))),
% 15.69/10.92 inference(unit_resolution,[status(thm)],[21730, 21726])).
% 15.69/10.92 tff(21732,plain,
% 15.69/10.92 (((~![B: $i] : ((~less_3(B)) | (v90(constB148, B) <=> v129(constB148, B)))) | ((~less_3(bitIndex2)) | (v90(constB148, bitIndex2) <=> v129(constB148, bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v90(constB148, B) <=> v129(constB148, B)))) | (~less_3(bitIndex2)) | (v90(constB148, bitIndex2) <=> v129(constB148, bitIndex2)))),
% 15.69/10.92 inference(rewrite,[status(thm)],[])).
% 15.69/10.92 tff(21733,plain,
% 15.69/10.92 ((~![B: $i] : ((~less_3(B)) | (v90(constB148, B) <=> v129(constB148, B)))) | ((~less_3(bitIndex2)) | (v90(constB148, bitIndex2) <=> v129(constB148, bitIndex2)))),
% 15.69/10.92 inference(quant_inst,[status(thm)],[])).
% 15.69/10.92 tff(21734,plain,
% 15.69/10.92 ((~![B: $i] : ((~less_3(B)) | (v90(constB148, B) <=> v129(constB148, B)))) | (~less_3(bitIndex2)) | (v90(constB148, bitIndex2) <=> v129(constB148, bitIndex2))),
% 15.69/10.92 inference(modus_ponens,[status(thm)],[21733, 21732])).
% 15.69/10.92 tff(21735,plain,
% 15.69/10.92 (v90(constB148, bitIndex2) <=> v129(constB148, bitIndex2)),
% 15.69/10.92 inference(unit_resolution,[status(thm)],[21734, 413, 21731])).
% 15.69/10.92 tff(21736,plain,
% 15.69/10.92 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v129(VarNext, B) <=> v127(VarCurr, B))))) | ((~nextState(constB147, constB148)) | ![B: $i] : ((~less_3(B)) | (v129(constB148, B) <=> v127(constB147, B))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v129(VarNext, B) <=> v127(VarCurr, B))))) | (~nextState(constB147, constB148)) | ![B: $i] : ((~less_3(B)) | (v129(constB148, B) <=> v127(constB147, B))))),
% 15.69/10.92 inference(rewrite,[status(thm)],[])).
% 15.69/10.92 tff(21737,plain,
% 15.69/10.92 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v129(VarNext, B) <=> v127(VarCurr, B))))) | ((~nextState(constB147, constB148)) | ![B: $i] : ((~less_3(B)) | (v129(constB148, B) <=> v127(constB147, B))))),
% 15.69/10.92 inference(quant_inst,[status(thm)],[])).
% 15.69/10.92 tff(21738,plain,
% 15.69/10.92 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v129(VarNext, B) <=> v127(VarCurr, B))))) | (~nextState(constB147, constB148)) | ![B: $i] : ((~less_3(B)) | (v129(constB148, B) <=> v127(constB147, B)))),
% 15.69/10.92 inference(modus_ponens,[status(thm)],[21737, 21736])).
% 15.69/10.92 tff(21739,plain,
% 15.69/10.92 (![B: $i] : ((~less_3(B)) | (v129(constB148, B) <=> v127(constB147, B)))),
% 15.69/10.92 inference(unit_resolution,[status(thm)],[21738, 13591, 5156])).
% 15.69/10.92 tff(21740,plain,
% 15.69/10.92 (((~![B: $i] : ((~less_3(B)) | (v129(constB148, B) <=> v127(constB147, B)))) | ((~less_3(bitIndex2)) | (v129(constB148, bitIndex2) <=> v127(constB147, bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v129(constB148, B) <=> v127(constB147, B)))) | (~less_3(bitIndex2)) | (v129(constB148, bitIndex2) <=> v127(constB147, bitIndex2)))),
% 15.69/10.92 inference(rewrite,[status(thm)],[])).
% 15.69/10.92 tff(21741,plain,
% 15.69/10.92 ((~![B: $i] : ((~less_3(B)) | (v129(constB148, B) <=> v127(constB147, B)))) | ((~less_3(bitIndex2)) | (v129(constB148, bitIndex2) <=> v127(constB147, bitIndex2)))),
% 15.69/10.92 inference(quant_inst,[status(thm)],[])).
% 15.69/10.92 tff(21742,plain,
% 15.69/10.92 ((~![B: $i] : ((~less_3(B)) | (v129(constB148, B) <=> v127(constB147, B)))) | (~less_3(bitIndex2)) | (v129(constB148, bitIndex2) <=> v127(constB147, bitIndex2))),
% 15.69/10.92 inference(modus_ponens,[status(thm)],[21741, 21740])).
% 15.69/10.92 tff(21743,plain,
% 15.69/10.92 (v129(constB148, bitIndex2) <=> v127(constB147, bitIndex2)),
% 15.69/10.92 inference(unit_resolution,[status(thm)],[21742, 413, 21739])).
% 15.69/10.92 tff(21744,plain,
% 15.69/10.92 (((~![VarCurr: $i] : (v111(VarCurr) | ![B: $i] : ((~less_3(B)) | (v127(VarCurr, B) <=> v130(VarCurr, B))))) | (v111(constB147) | ![B: $i] : ((~less_3(B)) | (v127(constB147, B) <=> v130(constB147, B))))) <=> ((~![VarCurr: $i] : (v111(VarCurr) | ![B: $i] : ((~less_3(B)) | (v127(VarCurr, B) <=> v130(VarCurr, B))))) | v111(constB147) | ![B: $i] : ((~less_3(B)) | (v127(constB147, B) <=> v130(constB147, B))))),
% 15.69/10.92 inference(rewrite,[status(thm)],[])).
% 15.69/10.92 tff(21745,plain,
% 15.69/10.92 ((~![VarCurr: $i] : (v111(VarCurr) | ![B: $i] : ((~less_3(B)) | (v127(VarCurr, B) <=> v130(VarCurr, B))))) | (v111(constB147) | ![B: $i] : ((~less_3(B)) | (v127(constB147, B) <=> v130(constB147, B))))),
% 15.69/10.92 inference(quant_inst,[status(thm)],[])).
% 15.69/10.92 tff(21746,plain,
% 15.69/10.92 ((~![VarCurr: $i] : (v111(VarCurr) | ![B: $i] : ((~less_3(B)) | (v127(VarCurr, B) <=> v130(VarCurr, B))))) | v111(constB147) | ![B: $i] : ((~less_3(B)) | (v127(constB147, B) <=> v130(constB147, B)))),
% 15.69/10.92 inference(modus_ponens,[status(thm)],[21745, 21744])).
% 15.69/10.92 tff(21747,plain,
% 15.69/10.92 (![B: $i] : ((~less_3(B)) | (v127(constB147, B) <=> v130(constB147, B)))),
% 15.69/10.92 inference(unit_resolution,[status(thm)],[21746, 5177, 21708])).
% 15.69/10.92 tff(21748,plain,
% 15.69/10.92 (((~![B: $i] : ((~less_3(B)) | (v127(constB147, B) <=> v130(constB147, B)))) | ((~less_3(bitIndex2)) | (v127(constB147, bitIndex2) <=> v130(constB147, bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v127(constB147, B) <=> v130(constB147, B)))) | (~less_3(bitIndex2)) | (v127(constB147, bitIndex2) <=> v130(constB147, bitIndex2)))),
% 15.69/10.92 inference(rewrite,[status(thm)],[])).
% 15.69/10.92 tff(21749,plain,
% 15.69/10.92 ((~![B: $i] : ((~less_3(B)) | (v127(constB147, B) <=> v130(constB147, B)))) | ((~less_3(bitIndex2)) | (v127(constB147, bitIndex2) <=> v130(constB147, bitIndex2)))),
% 15.69/10.92 inference(quant_inst,[status(thm)],[])).
% 15.69/10.92 tff(21750,plain,
% 15.69/10.92 ((~![B: $i] : ((~less_3(B)) | (v127(constB147, B) <=> v130(constB147, B)))) | (~less_3(bitIndex2)) | (v127(constB147, bitIndex2) <=> v130(constB147, bitIndex2))),
% 15.69/10.92 inference(modus_ponens,[status(thm)],[21749, 21748])).
% 15.69/10.92 tff(21751,plain,
% 15.69/10.92 (v127(constB147, bitIndex2) <=> v130(constB147, bitIndex2)),
% 15.69/10.92 inference(unit_resolution,[status(thm)],[21750, 413, 21747])).
% 15.69/10.92 tff(21752,plain,
% 15.69/10.92 (((~![VarCurr: $i] : ((~v120(VarCurr)) | ![B: $i] : ((~less_3(B)) | (v130(VarCurr, B) <=> b010(B))))) | ((~v120(constB147)) | ![B: $i] : ((~less_3(B)) | (v130(constB147, B) <=> b010(B))))) <=> ((~![VarCurr: $i] : ((~v120(VarCurr)) | ![B: $i] : ((~less_3(B)) | (v130(VarCurr, B) <=> b010(B))))) | (~v120(constB147)) | ![B: $i] : ((~less_3(B)) | (v130(constB147, B) <=> b010(B))))),
% 15.69/10.92 inference(rewrite,[status(thm)],[])).
% 15.69/10.92 tff(21753,plain,
% 15.69/10.92 ((~![VarCurr: $i] : ((~v120(VarCurr)) | ![B: $i] : ((~less_3(B)) | (v130(VarCurr, B) <=> b010(B))))) | ((~v120(constB147)) | ![B: $i] : ((~less_3(B)) | (v130(constB147, B) <=> b010(B))))),
% 15.69/10.92 inference(quant_inst,[status(thm)],[])).
% 15.69/10.92 tff(21754,plain,
% 15.69/10.92 ((~![VarCurr: $i] : ((~v120(VarCurr)) | ![B: $i] : ((~less_3(B)) | (v130(VarCurr, B) <=> b010(B))))) | (~v120(constB147)) | ![B: $i] : ((~less_3(B)) | (v130(constB147, B) <=> b010(B)))),
% 15.69/10.92 inference(modus_ponens,[status(thm)],[21753, 21752])).
% 15.69/10.92 tff(21755,plain,
% 15.69/10.92 ((~v120(constB147)) | ![B: $i] : ((~less_3(B)) | (v130(constB147, B) <=> b010(B)))),
% 15.69/10.92 inference(unit_resolution,[status(thm)],[21754, 5797])).
% 15.69/10.92 tff(21756,plain,
% 15.69/10.92 (![B: $i] : ((~less_3(B)) | (v130(constB147, B) <=> b010(B)))),
% 15.69/10.92 inference(unit_resolution,[status(thm)],[21755, 21675])).
% 15.69/10.92 tff(21757,plain,
% 15.69/10.92 (((~![B: $i] : ((~less_3(B)) | (v130(constB147, B) <=> b010(B)))) | ((~less_3(bitIndex2)) | (v130(constB147, bitIndex2) <=> b010(bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v130(constB147, B) <=> b010(B)))) | (~less_3(bitIndex2)) | (v130(constB147, bitIndex2) <=> b010(bitIndex2)))),
% 15.69/10.92 inference(rewrite,[status(thm)],[])).
% 15.69/10.92 tff(21758,plain,
% 15.69/10.92 ((~![B: $i] : ((~less_3(B)) | (v130(constB147, B) <=> b010(B)))) | ((~less_3(bitIndex2)) | (v130(constB147, bitIndex2) <=> b010(bitIndex2)))),
% 15.69/10.92 inference(quant_inst,[status(thm)],[])).
% 15.69/10.92 tff(21759,plain,
% 15.69/10.92 ((~![B: $i] : ((~less_3(B)) | (v130(constB147, B) <=> b010(B)))) | (~less_3(bitIndex2)) | (v130(constB147, bitIndex2) <=> b010(bitIndex2))),
% 15.69/10.92 inference(modus_ponens,[status(thm)],[21758, 21757])).
% 15.69/10.92 tff(21760,plain,
% 15.69/10.92 (v130(constB147, bitIndex2) <=> b010(bitIndex2)),
% 15.69/10.92 inference(unit_resolution,[status(thm)],[21759, 413, 21756])).
% 15.69/10.92 tff(21761,plain,
% 15.69/10.92 ((~(v130(constB147, bitIndex2) <=> b010(bitIndex2))) | (~v130(constB147, bitIndex2)) | b010(bitIndex2)),
% 15.69/10.92 inference(tautology,[status(thm)],[])).
% 15.69/10.92 tff(21762,plain,
% 15.69/10.92 ((~(v130(constB147, bitIndex2) <=> b010(bitIndex2))) | (~v130(constB147, bitIndex2))),
% 15.69/10.92 inference(unit_resolution,[status(thm)],[21761, 5809])).
% 15.69/10.92 tff(21763,plain,
% 15.69/10.92 (~v130(constB147, bitIndex2)),
% 15.69/10.92 inference(unit_resolution,[status(thm)],[21762, 21760])).
% 15.69/10.92 tff(21764,plain,
% 15.69/10.92 ((~(v127(constB147, bitIndex2) <=> v130(constB147, bitIndex2))) | (~v127(constB147, bitIndex2)) | v130(constB147, bitIndex2)),
% 15.69/10.92 inference(tautology,[status(thm)],[])).
% 15.69/10.92 tff(21765,plain,
% 15.69/10.92 (~v127(constB147, bitIndex2)),
% 15.69/10.92 inference(unit_resolution,[status(thm)],[21764, 21763, 21751])).
% 15.69/10.92 tff(21766,plain,
% 15.69/10.92 ((~(v129(constB148, bitIndex2) <=> v127(constB147, bitIndex2))) | (~v129(constB148, bitIndex2)) | v127(constB147, bitIndex2)),
% 15.69/10.92 inference(tautology,[status(thm)],[])).
% 15.69/10.92 tff(21767,plain,
% 15.69/10.92 (~v129(constB148, bitIndex2)),
% 15.69/10.92 inference(unit_resolution,[status(thm)],[21766, 21765, 21743])).
% 15.69/10.92 tff(21768,plain,
% 15.69/10.92 ((~(v90(constB148, bitIndex2) <=> v129(constB148, bitIndex2))) | (~v90(constB148, bitIndex2)) | v129(constB148, bitIndex2)),
% 15.69/10.92 inference(tautology,[status(thm)],[])).
% 15.69/10.92 tff(21769,plain,
% 15.69/10.92 (~v90(constB148, bitIndex2)),
% 15.69/10.92 inference(unit_resolution,[status(thm)],[21768, 21767, 21735])).
% 15.69/10.92 tff(21770,plain,
% 15.69/10.92 ((~(v90(constB149, bitIndex2) <=> v90(constB148, bitIndex2))) | (~v90(constB149, bitIndex2)) | v90(constB148, bitIndex2)),
% 15.69/10.92 inference(tautology,[status(thm)],[])).
% 15.69/10.92 tff(21771,plain,
% 15.69/10.92 (~v90(constB149, bitIndex2)),
% 15.69/10.92 inference(unit_resolution,[status(thm)],[21770, 21769, 21622])).
% 15.69/10.92 tff(21772,plain,
% 15.69/10.92 (((~![B: $i] : ((~less_3(B)) | (v90(constB149, B) <=> v90(constB148, B)))) | ((~less_3(bitIndex0)) | (v90(constB149, bitIndex0) <=> v90(constB148, bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v90(constB149, B) <=> v90(constB148, B)))) | (~less_3(bitIndex0)) | (v90(constB149, bitIndex0) <=> v90(constB148, bitIndex0)))),
% 15.69/10.92 inference(rewrite,[status(thm)],[])).
% 15.69/10.92 tff(21773,plain,
% 15.69/10.92 ((~![B: $i] : ((~less_3(B)) | (v90(constB149, B) <=> v90(constB148, B)))) | ((~less_3(bitIndex0)) | (v90(constB149, bitIndex0) <=> v90(constB148, bitIndex0)))),
% 15.69/10.92 inference(quant_inst,[status(thm)],[])).
% 15.69/10.92 tff(21774,plain,
% 15.69/10.92 ((~![B: $i] : ((~less_3(B)) | (v90(constB149, B) <=> v90(constB148, B)))) | (~less_3(bitIndex0)) | (v90(constB149, bitIndex0) <=> v90(constB148, bitIndex0))),
% 15.69/10.92 inference(modus_ponens,[status(thm)],[21773, 21772])).
% 15.69/10.92 tff(21775,plain,
% 15.69/10.92 (v90(constB149, bitIndex0) <=> v90(constB148, bitIndex0)),
% 15.69/10.92 inference(unit_resolution,[status(thm)],[21774, 5004, 21618])).
% 15.69/10.92 tff(21776,plain,
% 15.69/10.92 (((~![B: $i] : ((~less_3(B)) | (v90(constB148, B) <=> v129(constB148, B)))) | ((~less_3(bitIndex0)) | (v90(constB148, bitIndex0) <=> v129(constB148, bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v90(constB148, B) <=> v129(constB148, B)))) | (~less_3(bitIndex0)) | (v90(constB148, bitIndex0) <=> v129(constB148, bitIndex0)))),
% 15.69/10.92 inference(rewrite,[status(thm)],[])).
% 15.69/10.92 tff(21777,plain,
% 15.69/10.92 ((~![B: $i] : ((~less_3(B)) | (v90(constB148, B) <=> v129(constB148, B)))) | ((~less_3(bitIndex0)) | (v90(constB148, bitIndex0) <=> v129(constB148, bitIndex0)))),
% 15.69/10.92 inference(quant_inst,[status(thm)],[])).
% 15.69/10.92 tff(21778,plain,
% 15.69/10.92 ((~![B: $i] : ((~less_3(B)) | (v90(constB148, B) <=> v129(constB148, B)))) | (~less_3(bitIndex0)) | (v90(constB148, bitIndex0) <=> v129(constB148, bitIndex0))),
% 15.69/10.92 inference(modus_ponens,[status(thm)],[21777, 21776])).
% 15.69/10.92 tff(21779,plain,
% 15.69/10.92 (v90(constB148, bitIndex0) <=> v129(constB148, bitIndex0)),
% 15.69/10.92 inference(unit_resolution,[status(thm)],[21778, 5004, 21731])).
% 15.69/10.92 tff(21780,plain,
% 15.69/10.92 (((~![B: $i] : ((~less_3(B)) | (v129(constB148, B) <=> v127(constB147, B)))) | ((~less_3(bitIndex0)) | (v129(constB148, bitIndex0) <=> v127(constB147, bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v129(constB148, B) <=> v127(constB147, B)))) | (~less_3(bitIndex0)) | (v129(constB148, bitIndex0) <=> v127(constB147, bitIndex0)))),
% 15.69/10.92 inference(rewrite,[status(thm)],[])).
% 15.69/10.92 tff(21781,plain,
% 15.69/10.92 ((~![B: $i] : ((~less_3(B)) | (v129(constB148, B) <=> v127(constB147, B)))) | ((~less_3(bitIndex0)) | (v129(constB148, bitIndex0) <=> v127(constB147, bitIndex0)))),
% 15.69/10.92 inference(quant_inst,[status(thm)],[])).
% 15.69/10.92 tff(21782,plain,
% 15.69/10.92 ((~![B: $i] : ((~less_3(B)) | (v129(constB148, B) <=> v127(constB147, B)))) | (~less_3(bitIndex0)) | (v129(constB148, bitIndex0) <=> v127(constB147, bitIndex0))),
% 15.69/10.92 inference(modus_ponens,[status(thm)],[21781, 21780])).
% 15.69/10.92 tff(21783,plain,
% 15.69/10.92 (v129(constB148, bitIndex0) <=> v127(constB147, bitIndex0)),
% 15.69/10.92 inference(unit_resolution,[status(thm)],[21782, 5004, 21739])).
% 15.69/10.92 tff(21784,plain,
% 15.69/10.92 (((~![B: $i] : ((~less_3(B)) | (v127(constB147, B) <=> v130(constB147, B)))) | ((~less_3(bitIndex0)) | (v127(constB147, bitIndex0) <=> v130(constB147, bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v127(constB147, B) <=> v130(constB147, B)))) | (~less_3(bitIndex0)) | (v127(constB147, bitIndex0) <=> v130(constB147, bitIndex0)))),
% 15.69/10.93 inference(rewrite,[status(thm)],[])).
% 15.69/10.93 tff(21785,plain,
% 15.69/10.93 ((~![B: $i] : ((~less_3(B)) | (v127(constB147, B) <=> v130(constB147, B)))) | ((~less_3(bitIndex0)) | (v127(constB147, bitIndex0) <=> v130(constB147, bitIndex0)))),
% 15.69/10.93 inference(quant_inst,[status(thm)],[])).
% 15.69/10.93 tff(21786,plain,
% 15.69/10.93 ((~![B: $i] : ((~less_3(B)) | (v127(constB147, B) <=> v130(constB147, B)))) | (~less_3(bitIndex0)) | (v127(constB147, bitIndex0) <=> v130(constB147, bitIndex0))),
% 15.69/10.93 inference(modus_ponens,[status(thm)],[21785, 21784])).
% 15.69/10.93 tff(21787,plain,
% 15.69/10.93 (v127(constB147, bitIndex0) <=> v130(constB147, bitIndex0)),
% 15.69/10.93 inference(unit_resolution,[status(thm)],[21786, 5004, 21747])).
% 15.69/10.93 tff(21788,plain,
% 15.69/10.93 (((~![B: $i] : ((~less_3(B)) | (v130(constB147, B) <=> b010(B)))) | ((~less_3(bitIndex0)) | (v130(constB147, bitIndex0) <=> b010(bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v130(constB147, B) <=> b010(B)))) | (~less_3(bitIndex0)) | (v130(constB147, bitIndex0) <=> b010(bitIndex0)))),
% 15.69/10.93 inference(rewrite,[status(thm)],[])).
% 15.69/10.93 tff(21789,plain,
% 15.69/10.93 ((~![B: $i] : ((~less_3(B)) | (v130(constB147, B) <=> b010(B)))) | ((~less_3(bitIndex0)) | (v130(constB147, bitIndex0) <=> b010(bitIndex0)))),
% 15.69/10.93 inference(quant_inst,[status(thm)],[])).
% 15.69/10.93 tff(21790,plain,
% 15.69/10.93 ((~![B: $i] : ((~less_3(B)) | (v130(constB147, B) <=> b010(B)))) | (~less_3(bitIndex0)) | (v130(constB147, bitIndex0) <=> b010(bitIndex0))),
% 15.69/10.93 inference(modus_ponens,[status(thm)],[21789, 21788])).
% 15.69/10.93 tff(21791,plain,
% 15.69/10.93 (v130(constB147, bitIndex0) <=> b010(bitIndex0)),
% 15.69/10.93 inference(unit_resolution,[status(thm)],[21790, 5004, 21756])).
% 15.69/10.93 tff(21792,plain,
% 15.69/10.93 ((~(v130(constB147, bitIndex0) <=> b010(bitIndex0))) | (~v130(constB147, bitIndex0)) | b010(bitIndex0)),
% 15.69/10.93 inference(tautology,[status(thm)],[])).
% 15.69/10.93 tff(21793,plain,
% 15.69/10.93 ((~(v130(constB147, bitIndex0) <=> b010(bitIndex0))) | (~v130(constB147, bitIndex0))),
% 15.69/10.93 inference(unit_resolution,[status(thm)],[21792, 5843])).
% 15.69/10.93 tff(21794,plain,
% 15.69/10.93 (~v130(constB147, bitIndex0)),
% 15.69/10.93 inference(unit_resolution,[status(thm)],[21793, 21791])).
% 15.69/10.93 tff(21795,plain,
% 15.69/10.93 ((~(v127(constB147, bitIndex0) <=> v130(constB147, bitIndex0))) | (~v127(constB147, bitIndex0)) | v130(constB147, bitIndex0)),
% 15.69/10.93 inference(tautology,[status(thm)],[])).
% 15.69/10.93 tff(21796,plain,
% 15.69/10.93 (~v127(constB147, bitIndex0)),
% 15.69/10.93 inference(unit_resolution,[status(thm)],[21795, 21794, 21787])).
% 15.69/10.93 tff(21797,plain,
% 15.69/10.93 ((~(v129(constB148, bitIndex0) <=> v127(constB147, bitIndex0))) | (~v129(constB148, bitIndex0)) | v127(constB147, bitIndex0)),
% 15.69/10.93 inference(tautology,[status(thm)],[])).
% 15.69/10.93 tff(21798,plain,
% 15.69/10.93 (~v129(constB148, bitIndex0)),
% 15.69/10.93 inference(unit_resolution,[status(thm)],[21797, 21796, 21783])).
% 15.69/10.93 tff(21799,plain,
% 15.69/10.93 ((~(v90(constB148, bitIndex0) <=> v129(constB148, bitIndex0))) | (~v90(constB148, bitIndex0)) | v129(constB148, bitIndex0)),
% 15.69/10.93 inference(tautology,[status(thm)],[])).
% 15.69/10.93 tff(21800,plain,
% 15.69/10.93 (~v90(constB148, bitIndex0)),
% 15.69/10.93 inference(unit_resolution,[status(thm)],[21799, 21798, 21779])).
% 15.69/10.93 tff(21801,plain,
% 15.69/10.93 ((~(v90(constB149, bitIndex0) <=> v90(constB148, bitIndex0))) | (~v90(constB149, bitIndex0)) | v90(constB148, bitIndex0)),
% 15.69/10.93 inference(tautology,[status(thm)],[])).
% 15.69/10.93 tff(21802,plain,
% 15.69/10.93 (~v90(constB149, bitIndex0)),
% 15.69/10.93 inference(unit_resolution,[status(thm)],[21801, 21800, 21775])).
% 15.69/10.93 tff(21803,plain,
% 15.69/10.93 (((~![B: $i] : ((~less_3(B)) | (v90(constB149, B) <=> v90(constB148, B)))) | ((~less_3(bitIndex1)) | (v90(constB149, bitIndex1) <=> v90(constB148, bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v90(constB149, B) <=> v90(constB148, B)))) | (~less_3(bitIndex1)) | (v90(constB149, bitIndex1) <=> v90(constB148, bitIndex1)))),
% 15.69/10.93 inference(rewrite,[status(thm)],[])).
% 15.69/10.93 tff(21804,plain,
% 15.69/10.93 ((~![B: $i] : ((~less_3(B)) | (v90(constB149, B) <=> v90(constB148, B)))) | ((~less_3(bitIndex1)) | (v90(constB149, bitIndex1) <=> v90(constB148, bitIndex1)))),
% 15.69/10.93 inference(quant_inst,[status(thm)],[])).
% 15.69/10.93 tff(21805,plain,
% 15.69/10.93 ((~![B: $i] : ((~less_3(B)) | (v90(constB149, B) <=> v90(constB148, B)))) | (~less_3(bitIndex1)) | (v90(constB149, bitIndex1) <=> v90(constB148, bitIndex1))),
% 15.73/10.93 inference(modus_ponens,[status(thm)],[21804, 21803])).
% 15.73/10.93 tff(21806,plain,
% 15.73/10.93 (v90(constB149, bitIndex1) <=> v90(constB148, bitIndex1)),
% 15.73/10.93 inference(unit_resolution,[status(thm)],[21805, 5017, 21618])).
% 15.73/10.93 tff(21807,plain,
% 15.73/10.93 (((~![B: $i] : ((~less_3(B)) | (v90(constB148, B) <=> v129(constB148, B)))) | ((~less_3(bitIndex1)) | (v90(constB148, bitIndex1) <=> v129(constB148, bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v90(constB148, B) <=> v129(constB148, B)))) | (~less_3(bitIndex1)) | (v90(constB148, bitIndex1) <=> v129(constB148, bitIndex1)))),
% 15.73/10.93 inference(rewrite,[status(thm)],[])).
% 15.73/10.93 tff(21808,plain,
% 15.73/10.93 ((~![B: $i] : ((~less_3(B)) | (v90(constB148, B) <=> v129(constB148, B)))) | ((~less_3(bitIndex1)) | (v90(constB148, bitIndex1) <=> v129(constB148, bitIndex1)))),
% 15.73/10.93 inference(quant_inst,[status(thm)],[])).
% 15.73/10.93 tff(21809,plain,
% 15.73/10.93 ((~![B: $i] : ((~less_3(B)) | (v90(constB148, B) <=> v129(constB148, B)))) | (~less_3(bitIndex1)) | (v90(constB148, bitIndex1) <=> v129(constB148, bitIndex1))),
% 15.73/10.93 inference(modus_ponens,[status(thm)],[21808, 21807])).
% 15.73/10.93 tff(21810,plain,
% 15.73/10.93 (v90(constB148, bitIndex1) <=> v129(constB148, bitIndex1)),
% 15.73/10.93 inference(unit_resolution,[status(thm)],[21809, 5017, 21731])).
% 15.73/10.93 tff(21811,plain,
% 15.73/10.93 (((~![B: $i] : ((~less_3(B)) | (v129(constB148, B) <=> v127(constB147, B)))) | ((~less_3(bitIndex1)) | (v129(constB148, bitIndex1) <=> v127(constB147, bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v129(constB148, B) <=> v127(constB147, B)))) | (~less_3(bitIndex1)) | (v129(constB148, bitIndex1) <=> v127(constB147, bitIndex1)))),
% 15.73/10.93 inference(rewrite,[status(thm)],[])).
% 15.73/10.93 tff(21812,plain,
% 15.73/10.93 ((~![B: $i] : ((~less_3(B)) | (v129(constB148, B) <=> v127(constB147, B)))) | ((~less_3(bitIndex1)) | (v129(constB148, bitIndex1) <=> v127(constB147, bitIndex1)))),
% 15.73/10.93 inference(quant_inst,[status(thm)],[])).
% 15.73/10.93 tff(21813,plain,
% 15.73/10.93 ((~![B: $i] : ((~less_3(B)) | (v129(constB148, B) <=> v127(constB147, B)))) | (~less_3(bitIndex1)) | (v129(constB148, bitIndex1) <=> v127(constB147, bitIndex1))),
% 15.73/10.93 inference(modus_ponens,[status(thm)],[21812, 21811])).
% 15.73/10.93 tff(21814,plain,
% 15.73/10.93 (v129(constB148, bitIndex1) <=> v127(constB147, bitIndex1)),
% 15.73/10.93 inference(unit_resolution,[status(thm)],[21813, 5017, 21739])).
% 15.73/10.93 tff(21815,plain,
% 15.73/10.93 (((~![B: $i] : ((~less_3(B)) | (v127(constB147, B) <=> v130(constB147, B)))) | ((~less_3(bitIndex1)) | (v127(constB147, bitIndex1) <=> v130(constB147, bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v127(constB147, B) <=> v130(constB147, B)))) | (~less_3(bitIndex1)) | (v127(constB147, bitIndex1) <=> v130(constB147, bitIndex1)))),
% 15.73/10.93 inference(rewrite,[status(thm)],[])).
% 15.73/10.93 tff(21816,plain,
% 15.73/10.93 ((~![B: $i] : ((~less_3(B)) | (v127(constB147, B) <=> v130(constB147, B)))) | ((~less_3(bitIndex1)) | (v127(constB147, bitIndex1) <=> v130(constB147, bitIndex1)))),
% 15.73/10.93 inference(quant_inst,[status(thm)],[])).
% 15.73/10.93 tff(21817,plain,
% 15.73/10.93 ((~![B: $i] : ((~less_3(B)) | (v127(constB147, B) <=> v130(constB147, B)))) | (~less_3(bitIndex1)) | (v127(constB147, bitIndex1) <=> v130(constB147, bitIndex1))),
% 15.73/10.93 inference(modus_ponens,[status(thm)],[21816, 21815])).
% 15.73/10.93 tff(21818,plain,
% 15.73/10.93 (v127(constB147, bitIndex1) <=> v130(constB147, bitIndex1)),
% 15.73/10.93 inference(unit_resolution,[status(thm)],[21817, 5017, 21747])).
% 15.73/10.93 tff(21819,plain,
% 15.73/10.93 (((~![B: $i] : ((~less_3(B)) | (v130(constB147, B) <=> b010(B)))) | ((~less_3(bitIndex1)) | (v130(constB147, bitIndex1) <=> b010(bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v130(constB147, B) <=> b010(B)))) | (~less_3(bitIndex1)) | (v130(constB147, bitIndex1) <=> b010(bitIndex1)))),
% 15.73/10.93 inference(rewrite,[status(thm)],[])).
% 15.73/10.93 tff(21820,plain,
% 15.73/10.93 ((~![B: $i] : ((~less_3(B)) | (v130(constB147, B) <=> b010(B)))) | ((~less_3(bitIndex1)) | (v130(constB147, bitIndex1) <=> b010(bitIndex1)))),
% 15.73/10.93 inference(quant_inst,[status(thm)],[])).
% 15.73/10.93 tff(21821,plain,
% 15.73/10.93 ((~![B: $i] : ((~less_3(B)) | (v130(constB147, B) <=> b010(B)))) | (~less_3(bitIndex1)) | (v130(constB147, bitIndex1) <=> b010(bitIndex1))),
% 15.73/10.93 inference(modus_ponens,[status(thm)],[21820, 21819])).
% 15.73/10.93 tff(21822,plain,
% 15.73/10.93 (v130(constB147, bitIndex1) <=> b010(bitIndex1)),
% 15.73/10.93 inference(unit_resolution,[status(thm)],[21821, 5017, 21756])).
% 15.73/10.93 tff(21823,plain,
% 15.73/10.93 ((~(v130(constB147, bitIndex1) <=> b010(bitIndex1))) | v130(constB147, bitIndex1) | (~b010(bitIndex1))),
% 15.73/10.93 inference(tautology,[status(thm)],[])).
% 15.73/10.93 tff(21824,plain,
% 15.73/10.93 ((~(v130(constB147, bitIndex1) <=> b010(bitIndex1))) | v130(constB147, bitIndex1)),
% 15.73/10.93 inference(unit_resolution,[status(thm)],[21823, 5877])).
% 15.73/10.93 tff(21825,plain,
% 15.73/10.93 (v130(constB147, bitIndex1)),
% 15.73/10.93 inference(unit_resolution,[status(thm)],[21824, 21822])).
% 15.73/10.93 tff(21826,plain,
% 15.73/10.93 ((~(v127(constB147, bitIndex1) <=> v130(constB147, bitIndex1))) | v127(constB147, bitIndex1) | (~v130(constB147, bitIndex1))),
% 15.73/10.93 inference(tautology,[status(thm)],[])).
% 15.73/10.93 tff(21827,plain,
% 15.73/10.93 (v127(constB147, bitIndex1)),
% 15.73/10.93 inference(unit_resolution,[status(thm)],[21826, 21825, 21818])).
% 15.73/10.93 tff(21828,plain,
% 15.73/10.93 ((~(v129(constB148, bitIndex1) <=> v127(constB147, bitIndex1))) | v129(constB148, bitIndex1) | (~v127(constB147, bitIndex1))),
% 15.73/10.93 inference(tautology,[status(thm)],[])).
% 15.73/10.93 tff(21829,plain,
% 15.73/10.93 (v129(constB148, bitIndex1)),
% 15.73/10.93 inference(unit_resolution,[status(thm)],[21828, 21827, 21814])).
% 15.73/10.93 tff(21830,plain,
% 15.73/10.93 ((~(v90(constB148, bitIndex1) <=> v129(constB148, bitIndex1))) | v90(constB148, bitIndex1) | (~v129(constB148, bitIndex1))),
% 15.73/10.93 inference(tautology,[status(thm)],[])).
% 15.73/10.93 tff(21831,plain,
% 15.73/10.93 (v90(constB148, bitIndex1)),
% 15.73/10.93 inference(unit_resolution,[status(thm)],[21830, 21829, 21810])).
% 15.73/10.93 tff(21832,plain,
% 15.73/10.93 ((~(v90(constB149, bitIndex1) <=> v90(constB148, bitIndex1))) | v90(constB149, bitIndex1) | (~v90(constB148, bitIndex1))),
% 15.73/10.93 inference(tautology,[status(thm)],[])).
% 15.73/10.93 tff(21833,plain,
% 15.73/10.93 (v90(constB149, bitIndex1)),
% 15.73/10.93 inference(unit_resolution,[status(thm)],[21832, 21831, 21806])).
% 15.73/10.93 tff(21834,plain,
% 15.73/10.93 ((~(v90(constB149, bitIndex2) | (~v90(constB149, bitIndex1)) | v90(constB149, bitIndex0))) | v90(constB149, bitIndex2) | (~v90(constB149, bitIndex1)) | v90(constB149, bitIndex0)),
% 15.73/10.93 inference(tautology,[status(thm)],[])).
% 15.73/10.93 tff(21835,plain,
% 15.73/10.93 (~(v90(constB149, bitIndex2) | (~v90(constB149, bitIndex1)) | v90(constB149, bitIndex0))),
% 15.73/10.93 inference(unit_resolution,[status(thm)],[21834, 21833, 21802, 21771])).
% 15.73/10.93 tff(21836,plain,
% 15.73/10.93 ((~(v121(constB149) <=> (~(v90(constB149, bitIndex2) | (~v90(constB149, bitIndex1)) | v90(constB149, bitIndex0))))) | v121(constB149) | (v90(constB149, bitIndex2) | (~v90(constB149, bitIndex1)) | v90(constB149, bitIndex0))),
% 15.73/10.93 inference(tautology,[status(thm)],[])).
% 15.73/10.93 tff(21837,plain,
% 15.73/10.93 (v121(constB149)),
% 15.73/10.93 inference(unit_resolution,[status(thm)],[21836, 21835, 21593])).
% 15.73/10.93 tff(21838,plain,
% 15.73/10.93 ((v118(constB149) | v121(constB149)) | (~v121(constB149))),
% 15.73/10.93 inference(tautology,[status(thm)],[])).
% 15.73/10.93 tff(21839,plain,
% 15.73/10.93 (v118(constB149) | v121(constB149)),
% 15.73/10.93 inference(unit_resolution,[status(thm)],[21838, 21837])).
% 15.73/10.93 tff(21840,plain,
% 15.73/10.93 ((~(v117(constB149) <=> (v118(constB149) | v121(constB149)))) | v117(constB149) | (~(v118(constB149) | v121(constB149)))),
% 15.73/10.93 inference(tautology,[status(thm)],[])).
% 15.73/10.93 tff(21841,plain,
% 15.73/10.93 (v117(constB149)),
% 15.73/10.93 inference(unit_resolution,[status(thm)],[21840, 21839, 21586])).
% 15.73/10.93 tff(21842,plain,
% 15.73/10.93 ((v117(constB149) | v122(constB149)) | (~v117(constB149))),
% 15.73/10.93 inference(tautology,[status(thm)],[])).
% 15.73/10.93 tff(21843,plain,
% 15.73/10.93 (v117(constB149) | v122(constB149)),
% 15.73/10.93 inference(unit_resolution,[status(thm)],[21842, 21841])).
% 15.73/10.93 tff(21844,plain,
% 15.73/10.93 ((~(v116(constB149) <=> (v117(constB149) | v122(constB149)))) | v116(constB149) | (~(v117(constB149) | v122(constB149)))),
% 15.73/10.93 inference(tautology,[status(thm)],[])).
% 15.73/10.93 tff(21845,plain,
% 15.73/10.93 (v116(constB149)),
% 15.73/10.93 inference(unit_resolution,[status(thm)],[21844, 21843, 21584])).
% 15.73/10.93 tff(21846,plain,
% 15.73/10.93 ((v116(constB149) | v123(constB149)) | (~v116(constB149))),
% 15.73/10.93 inference(tautology,[status(thm)],[])).
% 15.73/10.93 tff(21847,plain,
% 15.73/10.93 (v116(constB149) | v123(constB149)),
% 15.73/10.93 inference(unit_resolution,[status(thm)],[21846, 21845])).
% 15.73/10.93 tff(21848,plain,
% 15.73/10.93 ((~(v115(constB149) <=> (v116(constB149) | v123(constB149)))) | v115(constB149) | (~(v116(constB149) | v123(constB149)))),
% 15.73/10.93 inference(tautology,[status(thm)],[])).
% 15.73/10.93 tff(21849,plain,
% 15.73/10.93 (v115(constB149)),
% 15.73/10.93 inference(unit_resolution,[status(thm)],[21848, 21847, 21582])).
% 15.73/10.93 tff(21850,plain,
% 15.73/10.93 ((v115(constB149) | v124(constB149)) | (~v115(constB149))),
% 15.73/10.93 inference(tautology,[status(thm)],[])).
% 15.73/10.93 tff(21851,plain,
% 15.73/10.93 (v115(constB149) | v124(constB149)),
% 15.73/10.93 inference(unit_resolution,[status(thm)],[21850, 21849])).
% 15.73/10.93 tff(21852,plain,
% 15.73/10.93 ((~(v114(constB149) <=> (v115(constB149) | v124(constB149)))) | v114(constB149) | (~(v115(constB149) | v124(constB149)))),
% 15.73/10.93 inference(tautology,[status(thm)],[])).
% 15.73/10.93 tff(21853,plain,
% 15.73/10.93 (v114(constB149)),
% 15.73/10.93 inference(unit_resolution,[status(thm)],[21852, 21851, 21580])).
% 15.73/10.93 tff(21854,plain,
% 15.73/10.93 ((v114(constB149) | v125(constB149)) | (~v114(constB149))),
% 15.73/10.93 inference(tautology,[status(thm)],[])).
% 15.73/10.93 tff(21855,plain,
% 15.73/10.93 (v114(constB149) | v125(constB149)),
% 15.73/10.93 inference(unit_resolution,[status(thm)],[21854, 21853])).
% 15.73/10.93 tff(21856,plain,
% 15.73/10.93 ((~(v113(constB149) <=> (v114(constB149) | v125(constB149)))) | v113(constB149) | (~(v114(constB149) | v125(constB149)))),
% 15.73/10.93 inference(tautology,[status(thm)],[])).
% 15.73/10.93 tff(21857,plain,
% 15.73/10.93 (v113(constB149)),
% 15.73/10.93 inference(unit_resolution,[status(thm)],[21856, 21855, 21578])).
% 15.73/10.93 tff(21858,plain,
% 15.73/10.93 ((~![VarCurr: $i] : ((~v126(VarCurr)) <=> v111(VarCurr))) | ((~v126(constB149)) <=> v111(constB149))),
% 15.73/10.93 inference(quant_inst,[status(thm)],[])).
% 15.73/10.93 tff(21859,plain,
% 15.73/10.93 ((~v126(constB149)) <=> v111(constB149)),
% 15.73/10.93 inference(unit_resolution,[status(thm)],[21858, 5074])).
% 15.73/10.93 tff(21860,plain,
% 15.73/10.93 ((~![VarCurr: $i] : (v111(VarCurr) <=> v26(VarCurr))) | (v111(constB149) <=> v26(constB149))),
% 15.73/10.93 inference(quant_inst,[status(thm)],[])).
% 15.73/10.93 tff(21861,plain,
% 15.73/10.93 (v111(constB149) <=> v26(constB149)),
% 15.73/10.93 inference(unit_resolution,[status(thm)],[21860, 5086])).
% 15.73/10.93 tff(21862,plain,
% 15.73/10.93 ((~![VarCurr: $i] : (~v26(VarCurr))) | (~v26(constB149))),
% 15.73/10.93 inference(quant_inst,[status(thm)],[])).
% 15.73/10.93 tff(21863,plain,
% 15.73/10.93 (~v26(constB149)),
% 15.73/10.93 inference(unit_resolution,[status(thm)],[21862, 5098])).
% 15.73/10.93 tff(21864,plain,
% 15.73/10.93 ((~(v111(constB149) <=> v26(constB149))) | (~v111(constB149)) | v26(constB149)),
% 15.73/10.93 inference(tautology,[status(thm)],[])).
% 15.73/10.93 tff(21865,plain,
% 15.73/10.93 ((~(v111(constB149) <=> v26(constB149))) | (~v111(constB149))),
% 15.73/10.93 inference(unit_resolution,[status(thm)],[21864, 21863])).
% 15.73/10.93 tff(21866,plain,
% 15.73/10.93 (~v111(constB149)),
% 15.73/10.93 inference(unit_resolution,[status(thm)],[21865, 21861])).
% 15.73/10.93 tff(21867,plain,
% 15.73/10.93 ((~((~v126(constB149)) <=> v111(constB149))) | v126(constB149) | v111(constB149)),
% 15.73/10.93 inference(tautology,[status(thm)],[])).
% 15.73/10.93 tff(21868,plain,
% 15.73/10.93 ((~((~v126(constB149)) <=> v111(constB149))) | v126(constB149)),
% 15.73/10.93 inference(unit_resolution,[status(thm)],[21867, 21866])).
% 15.73/10.93 tff(21869,plain,
% 15.73/10.93 (v126(constB149)),
% 15.73/10.93 inference(unit_resolution,[status(thm)],[21868, 21859])).
% 15.73/10.93 tff(21870,plain,
% 15.73/10.93 ((~((~v113(constB149)) | (~v126(constB149)))) | (~v113(constB149)) | (~v126(constB149))),
% 15.73/10.93 inference(tautology,[status(thm)],[])).
% 15.73/10.93 tff(21871,plain,
% 15.73/10.93 ((~((~v113(constB149)) | (~v126(constB149)))) | (~v113(constB149))),
% 15.73/10.93 inference(unit_resolution,[status(thm)],[21870, 21869])).
% 15.73/10.93 tff(21872,plain,
% 15.73/10.93 (~((~v113(constB149)) | (~v126(constB149)))),
% 15.73/10.93 inference(unit_resolution,[status(thm)],[21871, 21857])).
% 15.73/10.93 tff(21873,plain,
% 15.73/10.93 ((~(v112(constB149) <=> (~((~v113(constB149)) | (~v126(constB149)))))) | v112(constB149) | ((~v113(constB149)) | (~v126(constB149)))),
% 15.73/10.93 inference(tautology,[status(thm)],[])).
% 15.73/10.93 tff(21874,plain,
% 15.73/10.93 (v112(constB149)),
% 15.73/10.93 inference(unit_resolution,[status(thm)],[21873, 21872, 21576])).
% 15.73/10.93 tff(21875,plain,
% 15.73/10.93 ((v111(constB149) | v112(constB149)) | (~v112(constB149))),
% 15.73/10.93 inference(tautology,[status(thm)],[])).
% 15.73/10.93 tff(21876,plain,
% 15.73/10.93 (v111(constB149) | v112(constB149)),
% 15.73/10.93 inference(unit_resolution,[status(thm)],[21875, 21874])).
% 15.73/10.93 tff(21877,plain,
% 15.73/10.93 ((~(v108(constB149) <=> (v111(constB149) | v112(constB149)))) | v108(constB149) | (~(v111(constB149) | v112(constB149)))),
% 15.73/10.93 inference(tautology,[status(thm)],[])).
% 15.73/10.93 tff(21878,plain,
% 15.73/10.93 (v108(constB149)),
% 15.73/10.94 inference(unit_resolution,[status(thm)],[21877, 21876, 21574])).
% 15.73/10.94 tff(21879,plain,
% 15.73/10.94 ((~(v110(constB150) <=> v108(constB149))) | v110(constB150) | (~v108(constB149))),
% 15.73/10.94 inference(tautology,[status(thm)],[])).
% 15.73/10.94 tff(21880,plain,
% 15.73/10.94 (v110(constB150)),
% 15.73/10.94 inference(unit_resolution,[status(thm)],[21879, 21878, 21572])).
% 15.73/10.94 tff(21881,plain,
% 15.73/10.94 ((~((~v101(constB150)) | (~v110(constB150)))) | (~v101(constB150)) | (~v110(constB150))),
% 15.73/10.94 inference(tautology,[status(thm)],[])).
% 15.73/10.94 tff(21882,plain,
% 15.73/10.94 (~((~v101(constB150)) | (~v110(constB150)))),
% 15.73/10.94 inference(unit_resolution,[status(thm)],[21881, 21880, 21568])).
% 15.73/10.94 tff(21883,plain,
% 15.73/10.94 ((~(v100(constB150) <=> (~((~v101(constB150)) | (~v110(constB150)))))) | v100(constB150) | ((~v101(constB150)) | (~v110(constB150)))),
% 15.73/10.94 inference(tautology,[status(thm)],[])).
% 15.73/10.94 tff(21884,plain,
% 15.73/10.94 (v100(constB150)),
% 15.73/10.94 inference(unit_resolution,[status(thm)],[21883, 21882, 21543])).
% 15.73/10.94 tff(21885,plain,
% 15.73/10.94 (((~![VarNext: $i] : ((~v100(VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v129(VarNext, B))))) | ((~v100(constB150)) | ![B: $i] : ((~less_3(B)) | (v90(constB150, B) <=> v129(constB150, B))))) <=> ((~![VarNext: $i] : ((~v100(VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v129(VarNext, B))))) | (~v100(constB150)) | ![B: $i] : ((~less_3(B)) | (v90(constB150, B) <=> v129(constB150, B))))),
% 15.73/10.94 inference(rewrite,[status(thm)],[])).
% 15.73/10.94 tff(21886,plain,
% 15.73/10.94 ((~![VarNext: $i] : ((~v100(VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v129(VarNext, B))))) | ((~v100(constB150)) | ![B: $i] : ((~less_3(B)) | (v90(constB150, B) <=> v129(constB150, B))))),
% 15.73/10.94 inference(quant_inst,[status(thm)],[])).
% 15.73/10.94 tff(21887,plain,
% 15.73/10.94 ((~![VarNext: $i] : ((~v100(VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v129(VarNext, B))))) | (~v100(constB150)) | ![B: $i] : ((~less_3(B)) | (v90(constB150, B) <=> v129(constB150, B)))),
% 15.73/10.94 inference(modus_ponens,[status(thm)],[21886, 21885])).
% 15.73/10.94 tff(21888,plain,
% 15.73/10.94 ((~v100(constB150)) | ![B: $i] : ((~less_3(B)) | (v90(constB150, B) <=> v129(constB150, B)))),
% 15.73/10.94 inference(unit_resolution,[status(thm)],[21887, 5134])).
% 15.73/10.94 tff(21889,plain,
% 15.73/10.94 (![B: $i] : ((~less_3(B)) | (v90(constB150, B) <=> v129(constB150, B)))),
% 15.73/10.94 inference(unit_resolution,[status(thm)],[21888, 21884])).
% 15.73/10.94 tff(21890,plain,
% 15.73/10.94 (((~![B: $i] : ((~less_3(B)) | (v90(constB150, B) <=> v129(constB150, B)))) | ((~less_3(bitIndex2)) | (v90(constB150, bitIndex2) <=> v129(constB150, bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v90(constB150, B) <=> v129(constB150, B)))) | (~less_3(bitIndex2)) | (v90(constB150, bitIndex2) <=> v129(constB150, bitIndex2)))),
% 15.73/10.94 inference(rewrite,[status(thm)],[])).
% 15.73/10.94 tff(21891,plain,
% 15.73/10.94 ((~![B: $i] : ((~less_3(B)) | (v90(constB150, B) <=> v129(constB150, B)))) | ((~less_3(bitIndex2)) | (v90(constB150, bitIndex2) <=> v129(constB150, bitIndex2)))),
% 15.73/10.94 inference(quant_inst,[status(thm)],[])).
% 15.73/10.94 tff(21892,plain,
% 15.73/10.94 ((~![B: $i] : ((~less_3(B)) | (v90(constB150, B) <=> v129(constB150, B)))) | (~less_3(bitIndex2)) | (v90(constB150, bitIndex2) <=> v129(constB150, bitIndex2))),
% 15.73/10.94 inference(modus_ponens,[status(thm)],[21891, 21890])).
% 15.73/10.94 tff(21893,plain,
% 15.73/10.94 (v90(constB150, bitIndex2) <=> v129(constB150, bitIndex2)),
% 15.73/10.94 inference(unit_resolution,[status(thm)],[21892, 413, 21889])).
% 15.73/10.94 tff(21894,plain,
% 15.73/10.94 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v129(VarNext, B) <=> v127(VarCurr, B))))) | ((~nextState(constB149, constB150)) | ![B: $i] : ((~less_3(B)) | (v129(constB150, B) <=> v127(constB149, B))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v129(VarNext, B) <=> v127(VarCurr, B))))) | (~nextState(constB149, constB150)) | ![B: $i] : ((~less_3(B)) | (v129(constB150, B) <=> v127(constB149, B))))),
% 15.73/10.94 inference(rewrite,[status(thm)],[])).
% 15.73/10.94 tff(21895,plain,
% 15.73/10.94 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v129(VarNext, B) <=> v127(VarCurr, B))))) | ((~nextState(constB149, constB150)) | ![B: $i] : ((~less_3(B)) | (v129(constB150, B) <=> v127(constB149, B))))),
% 15.73/10.94 inference(quant_inst,[status(thm)],[])).
% 15.73/10.94 tff(21896,plain,
% 15.73/10.94 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v129(VarNext, B) <=> v127(VarCurr, B))))) | (~nextState(constB149, constB150)) | ![B: $i] : ((~less_3(B)) | (v129(constB150, B) <=> v127(constB149, B)))),
% 15.73/10.94 inference(modus_ponens,[status(thm)],[21895, 21894])).
% 15.73/10.94 tff(21897,plain,
% 15.73/10.94 (![B: $i] : ((~less_3(B)) | (v129(constB150, B) <=> v127(constB149, B)))),
% 15.73/10.94 inference(unit_resolution,[status(thm)],[21896, 13438, 5156])).
% 15.73/10.94 tff(21898,plain,
% 15.73/10.94 (((~![B: $i] : ((~less_3(B)) | (v129(constB150, B) <=> v127(constB149, B)))) | ((~less_3(bitIndex2)) | (v129(constB150, bitIndex2) <=> v127(constB149, bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v129(constB150, B) <=> v127(constB149, B)))) | (~less_3(bitIndex2)) | (v129(constB150, bitIndex2) <=> v127(constB149, bitIndex2)))),
% 15.73/10.94 inference(rewrite,[status(thm)],[])).
% 15.73/10.94 tff(21899,plain,
% 15.73/10.94 ((~![B: $i] : ((~less_3(B)) | (v129(constB150, B) <=> v127(constB149, B)))) | ((~less_3(bitIndex2)) | (v129(constB150, bitIndex2) <=> v127(constB149, bitIndex2)))),
% 15.73/10.94 inference(quant_inst,[status(thm)],[])).
% 15.73/10.94 tff(21900,plain,
% 15.73/10.94 ((~![B: $i] : ((~less_3(B)) | (v129(constB150, B) <=> v127(constB149, B)))) | (~less_3(bitIndex2)) | (v129(constB150, bitIndex2) <=> v127(constB149, bitIndex2))),
% 15.73/10.94 inference(modus_ponens,[status(thm)],[21899, 21898])).
% 15.73/10.94 tff(21901,plain,
% 15.73/10.94 (v129(constB150, bitIndex2) <=> v127(constB149, bitIndex2)),
% 15.73/10.94 inference(unit_resolution,[status(thm)],[21900, 413, 21897])).
% 15.73/10.94 tff(21902,plain,
% 15.73/10.94 (((~![VarCurr: $i] : (v111(VarCurr) | ![B: $i] : ((~less_3(B)) | (v127(VarCurr, B) <=> v130(VarCurr, B))))) | (v111(constB149) | ![B: $i] : ((~less_3(B)) | (v127(constB149, B) <=> v130(constB149, B))))) <=> ((~![VarCurr: $i] : (v111(VarCurr) | ![B: $i] : ((~less_3(B)) | (v127(VarCurr, B) <=> v130(VarCurr, B))))) | v111(constB149) | ![B: $i] : ((~less_3(B)) | (v127(constB149, B) <=> v130(constB149, B))))),
% 15.73/10.94 inference(rewrite,[status(thm)],[])).
% 15.73/10.94 tff(21903,plain,
% 15.73/10.94 ((~![VarCurr: $i] : (v111(VarCurr) | ![B: $i] : ((~less_3(B)) | (v127(VarCurr, B) <=> v130(VarCurr, B))))) | (v111(constB149) | ![B: $i] : ((~less_3(B)) | (v127(constB149, B) <=> v130(constB149, B))))),
% 15.73/10.94 inference(quant_inst,[status(thm)],[])).
% 15.73/10.94 tff(21904,plain,
% 15.73/10.94 ((~![VarCurr: $i] : (v111(VarCurr) | ![B: $i] : ((~less_3(B)) | (v127(VarCurr, B) <=> v130(VarCurr, B))))) | v111(constB149) | ![B: $i] : ((~less_3(B)) | (v127(constB149, B) <=> v130(constB149, B)))),
% 15.73/10.94 inference(modus_ponens,[status(thm)],[21903, 21902])).
% 15.73/10.94 tff(21905,plain,
% 15.73/10.94 (![B: $i] : ((~less_3(B)) | (v127(constB149, B) <=> v130(constB149, B)))),
% 15.73/10.94 inference(unit_resolution,[status(thm)],[21904, 5177, 21866])).
% 15.73/10.94 tff(21906,plain,
% 15.73/10.94 (((~![B: $i] : ((~less_3(B)) | (v127(constB149, B) <=> v130(constB149, B)))) | ((~less_3(bitIndex2)) | (v127(constB149, bitIndex2) <=> v130(constB149, bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v127(constB149, B) <=> v130(constB149, B)))) | (~less_3(bitIndex2)) | (v127(constB149, bitIndex2) <=> v130(constB149, bitIndex2)))),
% 15.73/10.94 inference(rewrite,[status(thm)],[])).
% 15.73/10.94 tff(21907,plain,
% 15.73/10.94 ((~![B: $i] : ((~less_3(B)) | (v127(constB149, B) <=> v130(constB149, B)))) | ((~less_3(bitIndex2)) | (v127(constB149, bitIndex2) <=> v130(constB149, bitIndex2)))),
% 15.73/10.94 inference(quant_inst,[status(thm)],[])).
% 15.73/10.94 tff(21908,plain,
% 15.73/10.94 ((~![B: $i] : ((~less_3(B)) | (v127(constB149, B) <=> v130(constB149, B)))) | (~less_3(bitIndex2)) | (v127(constB149, bitIndex2) <=> v130(constB149, bitIndex2))),
% 15.73/10.94 inference(modus_ponens,[status(thm)],[21907, 21906])).
% 15.73/10.94 tff(21909,plain,
% 15.73/10.94 (v127(constB149, bitIndex2) <=> v130(constB149, bitIndex2)),
% 15.73/10.94 inference(unit_resolution,[status(thm)],[21908, 413, 21905])).
% 15.73/10.94 tff(21910,plain,
% 15.73/10.94 (((~![VarCurr: $i] : ((~v121(VarCurr)) | ![B: $i] : ((~less_3(B)) | (v130(VarCurr, B) <=> b011(B))))) | ((~v121(constB149)) | ![B: $i] : ((~less_3(B)) | (v130(constB149, B) <=> b011(B))))) <=> ((~![VarCurr: $i] : ((~v121(VarCurr)) | ![B: $i] : ((~less_3(B)) | (v130(VarCurr, B) <=> b011(B))))) | (~v121(constB149)) | ![B: $i] : ((~less_3(B)) | (v130(constB149, B) <=> b011(B))))),
% 15.73/10.94 inference(rewrite,[status(thm)],[])).
% 15.73/10.94 tff(21911,plain,
% 15.73/10.94 ((~![VarCurr: $i] : ((~v121(VarCurr)) | ![B: $i] : ((~less_3(B)) | (v130(VarCurr, B) <=> b011(B))))) | ((~v121(constB149)) | ![B: $i] : ((~less_3(B)) | (v130(constB149, B) <=> b011(B))))),
% 15.73/10.94 inference(quant_inst,[status(thm)],[])).
% 15.73/10.94 tff(21912,plain,
% 15.73/10.94 ((~![VarCurr: $i] : ((~v121(VarCurr)) | ![B: $i] : ((~less_3(B)) | (v130(VarCurr, B) <=> b011(B))))) | (~v121(constB149)) | ![B: $i] : ((~less_3(B)) | (v130(constB149, B) <=> b011(B)))),
% 15.73/10.94 inference(modus_ponens,[status(thm)],[21911, 21910])).
% 15.73/10.94 tff(21913,plain,
% 15.73/10.94 ((~v121(constB149)) | ![B: $i] : ((~less_3(B)) | (v130(constB149, B) <=> b011(B)))),
% 15.73/10.94 inference(unit_resolution,[status(thm)],[21912, 5977])).
% 15.73/10.94 tff(21914,plain,
% 15.73/10.94 (![B: $i] : ((~less_3(B)) | (v130(constB149, B) <=> b011(B)))),
% 15.73/10.94 inference(unit_resolution,[status(thm)],[21913, 21837])).
% 15.73/10.94 tff(21915,plain,
% 15.73/10.94 (((~![B: $i] : ((~less_3(B)) | (v130(constB149, B) <=> b011(B)))) | ((~less_3(bitIndex2)) | (v130(constB149, bitIndex2) <=> b011(bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v130(constB149, B) <=> b011(B)))) | (~less_3(bitIndex2)) | (v130(constB149, bitIndex2) <=> b011(bitIndex2)))),
% 15.73/10.94 inference(rewrite,[status(thm)],[])).
% 15.73/10.94 tff(21916,plain,
% 15.73/10.94 ((~![B: $i] : ((~less_3(B)) | (v130(constB149, B) <=> b011(B)))) | ((~less_3(bitIndex2)) | (v130(constB149, bitIndex2) <=> b011(bitIndex2)))),
% 15.73/10.94 inference(quant_inst,[status(thm)],[])).
% 15.73/10.94 tff(21917,plain,
% 15.73/10.94 ((~![B: $i] : ((~less_3(B)) | (v130(constB149, B) <=> b011(B)))) | (~less_3(bitIndex2)) | (v130(constB149, bitIndex2) <=> b011(bitIndex2))),
% 15.73/10.94 inference(modus_ponens,[status(thm)],[21916, 21915])).
% 15.73/10.94 tff(21918,plain,
% 15.73/10.94 (v130(constB149, bitIndex2) <=> b011(bitIndex2)),
% 15.73/10.94 inference(unit_resolution,[status(thm)],[21917, 413, 21914])).
% 15.73/10.94 tff(21919,plain,
% 15.73/10.94 ((~(v130(constB149, bitIndex2) <=> b011(bitIndex2))) | (~v130(constB149, bitIndex2)) | b011(bitIndex2)),
% 15.73/10.94 inference(tautology,[status(thm)],[])).
% 15.73/10.94 tff(21920,plain,
% 15.73/10.94 ((~(v130(constB149, bitIndex2) <=> b011(bitIndex2))) | (~v130(constB149, bitIndex2))),
% 15.73/10.94 inference(unit_resolution,[status(thm)],[21919, 5989])).
% 15.73/10.94 tff(21921,plain,
% 15.73/10.94 (~v130(constB149, bitIndex2)),
% 15.73/10.94 inference(unit_resolution,[status(thm)],[21920, 21918])).
% 15.73/10.94 tff(21922,plain,
% 15.73/10.94 ((~(v127(constB149, bitIndex2) <=> v130(constB149, bitIndex2))) | (~v127(constB149, bitIndex2)) | v130(constB149, bitIndex2)),
% 15.73/10.94 inference(tautology,[status(thm)],[])).
% 15.73/10.94 tff(21923,plain,
% 15.73/10.94 (~v127(constB149, bitIndex2)),
% 15.73/10.94 inference(unit_resolution,[status(thm)],[21922, 21921, 21909])).
% 15.73/10.94 tff(21924,plain,
% 15.73/10.94 ((~(v129(constB150, bitIndex2) <=> v127(constB149, bitIndex2))) | (~v129(constB150, bitIndex2)) | v127(constB149, bitIndex2)),
% 15.73/10.94 inference(tautology,[status(thm)],[])).
% 15.73/10.94 tff(21925,plain,
% 15.73/10.94 (~v129(constB150, bitIndex2)),
% 15.73/10.94 inference(unit_resolution,[status(thm)],[21924, 21923, 21901])).
% 15.73/10.94 tff(21926,plain,
% 15.73/10.94 ((~(v90(constB150, bitIndex2) <=> v129(constB150, bitIndex2))) | (~v90(constB150, bitIndex2)) | v129(constB150, bitIndex2)),
% 15.73/10.94 inference(tautology,[status(thm)],[])).
% 15.73/10.94 tff(21927,plain,
% 15.73/10.94 (~v90(constB150, bitIndex2)),
% 15.73/10.94 inference(unit_resolution,[status(thm)],[21926, 21925, 21893])).
% 15.73/10.94 tff(21928,plain,
% 15.73/10.94 ((~(v90(constB151, bitIndex2) <=> v90(constB150, bitIndex2))) | (~v90(constB151, bitIndex2)) | v90(constB150, bitIndex2)),
% 15.73/10.94 inference(tautology,[status(thm)],[])).
% 15.73/10.94 tff(21929,plain,
% 15.73/10.94 (~v90(constB151, bitIndex2)),
% 15.73/10.94 inference(unit_resolution,[status(thm)],[21928, 21927, 21539])).
% 15.73/10.94 tff(21930,plain,
% 15.73/10.94 (((~![B: $i] : ((~less_3(B)) | (v90(constB151, B) <=> v90(constB150, B)))) | ((~less_3(bitIndex0)) | (v90(constB151, bitIndex0) <=> v90(constB150, bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v90(constB151, B) <=> v90(constB150, B)))) | (~less_3(bitIndex0)) | (v90(constB151, bitIndex0) <=> v90(constB150, bitIndex0)))),
% 15.73/10.94 inference(rewrite,[status(thm)],[])).
% 15.73/10.94 tff(21931,plain,
% 15.73/10.94 ((~![B: $i] : ((~less_3(B)) | (v90(constB151, B) <=> v90(constB150, B)))) | ((~less_3(bitIndex0)) | (v90(constB151, bitIndex0) <=> v90(constB150, bitIndex0)))),
% 15.73/10.94 inference(quant_inst,[status(thm)],[])).
% 15.73/10.94 tff(21932,plain,
% 15.73/10.94 ((~![B: $i] : ((~less_3(B)) | (v90(constB151, B) <=> v90(constB150, B)))) | (~less_3(bitIndex0)) | (v90(constB151, bitIndex0) <=> v90(constB150, bitIndex0))),
% 15.73/10.94 inference(modus_ponens,[status(thm)],[21931, 21930])).
% 15.73/10.94 tff(21933,plain,
% 15.73/10.94 (v90(constB151, bitIndex0) <=> v90(constB150, bitIndex0)),
% 15.73/10.94 inference(unit_resolution,[status(thm)],[21932, 5004, 21535])).
% 15.73/10.94 tff(21934,plain,
% 15.73/10.94 (((~![B: $i] : ((~less_3(B)) | (v90(constB150, B) <=> v129(constB150, B)))) | ((~less_3(bitIndex0)) | (v90(constB150, bitIndex0) <=> v129(constB150, bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v90(constB150, B) <=> v129(constB150, B)))) | (~less_3(bitIndex0)) | (v90(constB150, bitIndex0) <=> v129(constB150, bitIndex0)))),
% 15.73/10.94 inference(rewrite,[status(thm)],[])).
% 15.73/10.94 tff(21935,plain,
% 15.73/10.94 ((~![B: $i] : ((~less_3(B)) | (v90(constB150, B) <=> v129(constB150, B)))) | ((~less_3(bitIndex0)) | (v90(constB150, bitIndex0) <=> v129(constB150, bitIndex0)))),
% 15.73/10.94 inference(quant_inst,[status(thm)],[])).
% 15.73/10.94 tff(21936,plain,
% 15.73/10.94 ((~![B: $i] : ((~less_3(B)) | (v90(constB150, B) <=> v129(constB150, B)))) | (~less_3(bitIndex0)) | (v90(constB150, bitIndex0) <=> v129(constB150, bitIndex0))),
% 15.73/10.94 inference(modus_ponens,[status(thm)],[21935, 21934])).
% 15.73/10.94 tff(21937,plain,
% 15.73/10.94 (v90(constB150, bitIndex0) <=> v129(constB150, bitIndex0)),
% 15.73/10.94 inference(unit_resolution,[status(thm)],[21936, 5004, 21889])).
% 15.73/10.94 tff(21938,plain,
% 15.73/10.94 (((~![B: $i] : ((~less_3(B)) | (v129(constB150, B) <=> v127(constB149, B)))) | ((~less_3(bitIndex0)) | (v129(constB150, bitIndex0) <=> v127(constB149, bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v129(constB150, B) <=> v127(constB149, B)))) | (~less_3(bitIndex0)) | (v129(constB150, bitIndex0) <=> v127(constB149, bitIndex0)))),
% 15.73/10.94 inference(rewrite,[status(thm)],[])).
% 15.73/10.94 tff(21939,plain,
% 15.73/10.94 ((~![B: $i] : ((~less_3(B)) | (v129(constB150, B) <=> v127(constB149, B)))) | ((~less_3(bitIndex0)) | (v129(constB150, bitIndex0) <=> v127(constB149, bitIndex0)))),
% 15.73/10.95 inference(quant_inst,[status(thm)],[])).
% 15.73/10.95 tff(21940,plain,
% 15.73/10.95 ((~![B: $i] : ((~less_3(B)) | (v129(constB150, B) <=> v127(constB149, B)))) | (~less_3(bitIndex0)) | (v129(constB150, bitIndex0) <=> v127(constB149, bitIndex0))),
% 15.73/10.95 inference(modus_ponens,[status(thm)],[21939, 21938])).
% 15.73/10.95 tff(21941,plain,
% 15.73/10.95 (v129(constB150, bitIndex0) <=> v127(constB149, bitIndex0)),
% 15.73/10.95 inference(unit_resolution,[status(thm)],[21940, 5004, 21897])).
% 15.73/10.95 tff(21942,plain,
% 15.73/10.95 (((~![B: $i] : ((~less_3(B)) | (v127(constB149, B) <=> v130(constB149, B)))) | ((~less_3(bitIndex0)) | (v127(constB149, bitIndex0) <=> v130(constB149, bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v127(constB149, B) <=> v130(constB149, B)))) | (~less_3(bitIndex0)) | (v127(constB149, bitIndex0) <=> v130(constB149, bitIndex0)))),
% 15.73/10.95 inference(rewrite,[status(thm)],[])).
% 15.73/10.95 tff(21943,plain,
% 15.73/10.95 ((~![B: $i] : ((~less_3(B)) | (v127(constB149, B) <=> v130(constB149, B)))) | ((~less_3(bitIndex0)) | (v127(constB149, bitIndex0) <=> v130(constB149, bitIndex0)))),
% 15.73/10.95 inference(quant_inst,[status(thm)],[])).
% 15.73/10.95 tff(21944,plain,
% 15.73/10.95 ((~![B: $i] : ((~less_3(B)) | (v127(constB149, B) <=> v130(constB149, B)))) | (~less_3(bitIndex0)) | (v127(constB149, bitIndex0) <=> v130(constB149, bitIndex0))),
% 15.73/10.95 inference(modus_ponens,[status(thm)],[21943, 21942])).
% 15.73/10.95 tff(21945,plain,
% 15.73/10.95 (v127(constB149, bitIndex0) <=> v130(constB149, bitIndex0)),
% 15.73/10.95 inference(unit_resolution,[status(thm)],[21944, 5004, 21905])).
% 15.73/10.95 tff(21946,plain,
% 15.73/10.95 (((~![B: $i] : ((~less_3(B)) | (v130(constB149, B) <=> b011(B)))) | ((~less_3(bitIndex0)) | (v130(constB149, bitIndex0) <=> b011(bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v130(constB149, B) <=> b011(B)))) | (~less_3(bitIndex0)) | (v130(constB149, bitIndex0) <=> b011(bitIndex0)))),
% 15.73/10.95 inference(rewrite,[status(thm)],[])).
% 15.73/10.95 tff(21947,plain,
% 15.73/10.95 ((~![B: $i] : ((~less_3(B)) | (v130(constB149, B) <=> b011(B)))) | ((~less_3(bitIndex0)) | (v130(constB149, bitIndex0) <=> b011(bitIndex0)))),
% 15.73/10.95 inference(quant_inst,[status(thm)],[])).
% 15.73/10.95 tff(21948,plain,
% 15.73/10.95 ((~![B: $i] : ((~less_3(B)) | (v130(constB149, B) <=> b011(B)))) | (~less_3(bitIndex0)) | (v130(constB149, bitIndex0) <=> b011(bitIndex0))),
% 15.73/10.95 inference(modus_ponens,[status(thm)],[21947, 21946])).
% 15.73/10.95 tff(21949,plain,
% 15.73/10.95 (v130(constB149, bitIndex0) <=> b011(bitIndex0)),
% 15.73/10.95 inference(unit_resolution,[status(thm)],[21948, 5004, 21914])).
% 15.73/10.95 tff(21950,plain,
% 15.73/10.95 ((~(v130(constB149, bitIndex0) <=> b011(bitIndex0))) | v130(constB149, bitIndex0) | (~b011(bitIndex0))),
% 15.73/10.95 inference(tautology,[status(thm)],[])).
% 15.73/10.95 tff(21951,plain,
% 15.73/10.95 ((~(v130(constB149, bitIndex0) <=> b011(bitIndex0))) | v130(constB149, bitIndex0)),
% 15.73/10.95 inference(unit_resolution,[status(thm)],[21950, 6023])).
% 15.73/10.95 tff(21952,plain,
% 15.73/10.95 (v130(constB149, bitIndex0)),
% 15.73/10.95 inference(unit_resolution,[status(thm)],[21951, 21949])).
% 15.73/10.95 tff(21953,plain,
% 15.73/10.95 ((~(v127(constB149, bitIndex0) <=> v130(constB149, bitIndex0))) | v127(constB149, bitIndex0) | (~v130(constB149, bitIndex0))),
% 15.73/10.95 inference(tautology,[status(thm)],[])).
% 15.73/10.95 tff(21954,plain,
% 15.73/10.95 (v127(constB149, bitIndex0)),
% 15.73/10.95 inference(unit_resolution,[status(thm)],[21953, 21952, 21945])).
% 15.73/10.95 tff(21955,plain,
% 15.73/10.95 ((~(v129(constB150, bitIndex0) <=> v127(constB149, bitIndex0))) | v129(constB150, bitIndex0) | (~v127(constB149, bitIndex0))),
% 15.73/10.95 inference(tautology,[status(thm)],[])).
% 15.73/10.95 tff(21956,plain,
% 15.73/10.95 (v129(constB150, bitIndex0)),
% 15.73/10.95 inference(unit_resolution,[status(thm)],[21955, 21954, 21941])).
% 15.73/10.95 tff(21957,plain,
% 15.73/10.95 ((~(v90(constB150, bitIndex0) <=> v129(constB150, bitIndex0))) | v90(constB150, bitIndex0) | (~v129(constB150, bitIndex0))),
% 15.73/10.95 inference(tautology,[status(thm)],[])).
% 15.73/10.95 tff(21958,plain,
% 15.73/10.95 (v90(constB150, bitIndex0)),
% 15.73/10.95 inference(unit_resolution,[status(thm)],[21957, 21956, 21937])).
% 15.73/10.95 tff(21959,plain,
% 15.73/10.95 ((~(v90(constB151, bitIndex0) <=> v90(constB150, bitIndex0))) | v90(constB151, bitIndex0) | (~v90(constB150, bitIndex0))),
% 15.73/10.95 inference(tautology,[status(thm)],[])).
% 15.73/10.95 tff(21960,plain,
% 15.73/10.95 (v90(constB151, bitIndex0)),
% 15.73/10.95 inference(unit_resolution,[status(thm)],[21959, 21958, 21933])).
% 15.73/10.95 tff(21961,plain,
% 15.73/10.95 (((~![B: $i] : ((~less_3(B)) | (v90(constB151, B) <=> v90(constB150, B)))) | ((~less_3(bitIndex1)) | (v90(constB151, bitIndex1) <=> v90(constB150, bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v90(constB151, B) <=> v90(constB150, B)))) | (~less_3(bitIndex1)) | (v90(constB151, bitIndex1) <=> v90(constB150, bitIndex1)))),
% 15.73/10.95 inference(rewrite,[status(thm)],[])).
% 15.73/10.95 tff(21962,plain,
% 15.73/10.95 ((~![B: $i] : ((~less_3(B)) | (v90(constB151, B) <=> v90(constB150, B)))) | ((~less_3(bitIndex1)) | (v90(constB151, bitIndex1) <=> v90(constB150, bitIndex1)))),
% 15.73/10.95 inference(quant_inst,[status(thm)],[])).
% 15.73/10.95 tff(21963,plain,
% 15.73/10.95 ((~![B: $i] : ((~less_3(B)) | (v90(constB151, B) <=> v90(constB150, B)))) | (~less_3(bitIndex1)) | (v90(constB151, bitIndex1) <=> v90(constB150, bitIndex1))),
% 15.73/10.95 inference(modus_ponens,[status(thm)],[21962, 21961])).
% 15.73/10.95 tff(21964,plain,
% 15.73/10.95 (v90(constB151, bitIndex1) <=> v90(constB150, bitIndex1)),
% 15.73/10.95 inference(unit_resolution,[status(thm)],[21963, 5017, 21535])).
% 15.73/10.95 tff(21965,plain,
% 15.73/10.95 (((~![B: $i] : ((~less_3(B)) | (v90(constB150, B) <=> v129(constB150, B)))) | ((~less_3(bitIndex1)) | (v90(constB150, bitIndex1) <=> v129(constB150, bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v90(constB150, B) <=> v129(constB150, B)))) | (~less_3(bitIndex1)) | (v90(constB150, bitIndex1) <=> v129(constB150, bitIndex1)))),
% 15.73/10.95 inference(rewrite,[status(thm)],[])).
% 15.73/10.95 tff(21966,plain,
% 15.73/10.95 ((~![B: $i] : ((~less_3(B)) | (v90(constB150, B) <=> v129(constB150, B)))) | ((~less_3(bitIndex1)) | (v90(constB150, bitIndex1) <=> v129(constB150, bitIndex1)))),
% 15.73/10.95 inference(quant_inst,[status(thm)],[])).
% 15.73/10.95 tff(21967,plain,
% 15.73/10.95 ((~![B: $i] : ((~less_3(B)) | (v90(constB150, B) <=> v129(constB150, B)))) | (~less_3(bitIndex1)) | (v90(constB150, bitIndex1) <=> v129(constB150, bitIndex1))),
% 15.73/10.95 inference(modus_ponens,[status(thm)],[21966, 21965])).
% 15.73/10.95 tff(21968,plain,
% 15.73/10.95 (v90(constB150, bitIndex1) <=> v129(constB150, bitIndex1)),
% 15.73/10.95 inference(unit_resolution,[status(thm)],[21967, 5017, 21889])).
% 15.73/10.95 tff(21969,plain,
% 15.73/10.95 (((~![B: $i] : ((~less_3(B)) | (v129(constB150, B) <=> v127(constB149, B)))) | ((~less_3(bitIndex1)) | (v129(constB150, bitIndex1) <=> v127(constB149, bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v129(constB150, B) <=> v127(constB149, B)))) | (~less_3(bitIndex1)) | (v129(constB150, bitIndex1) <=> v127(constB149, bitIndex1)))),
% 15.73/10.95 inference(rewrite,[status(thm)],[])).
% 15.73/10.95 tff(21970,plain,
% 15.73/10.95 ((~![B: $i] : ((~less_3(B)) | (v129(constB150, B) <=> v127(constB149, B)))) | ((~less_3(bitIndex1)) | (v129(constB150, bitIndex1) <=> v127(constB149, bitIndex1)))),
% 15.73/10.95 inference(quant_inst,[status(thm)],[])).
% 15.73/10.95 tff(21971,plain,
% 15.73/10.95 ((~![B: $i] : ((~less_3(B)) | (v129(constB150, B) <=> v127(constB149, B)))) | (~less_3(bitIndex1)) | (v129(constB150, bitIndex1) <=> v127(constB149, bitIndex1))),
% 15.73/10.95 inference(modus_ponens,[status(thm)],[21970, 21969])).
% 15.73/10.95 tff(21972,plain,
% 15.73/10.95 (v129(constB150, bitIndex1) <=> v127(constB149, bitIndex1)),
% 15.73/10.95 inference(unit_resolution,[status(thm)],[21971, 5017, 21897])).
% 15.73/10.95 tff(21973,plain,
% 15.73/10.95 (((~![B: $i] : ((~less_3(B)) | (v127(constB149, B) <=> v130(constB149, B)))) | ((~less_3(bitIndex1)) | (v127(constB149, bitIndex1) <=> v130(constB149, bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v127(constB149, B) <=> v130(constB149, B)))) | (~less_3(bitIndex1)) | (v127(constB149, bitIndex1) <=> v130(constB149, bitIndex1)))),
% 15.73/10.95 inference(rewrite,[status(thm)],[])).
% 15.73/10.95 tff(21974,plain,
% 15.73/10.95 ((~![B: $i] : ((~less_3(B)) | (v127(constB149, B) <=> v130(constB149, B)))) | ((~less_3(bitIndex1)) | (v127(constB149, bitIndex1) <=> v130(constB149, bitIndex1)))),
% 15.73/10.95 inference(quant_inst,[status(thm)],[])).
% 15.73/10.95 tff(21975,plain,
% 15.73/10.95 ((~![B: $i] : ((~less_3(B)) | (v127(constB149, B) <=> v130(constB149, B)))) | (~less_3(bitIndex1)) | (v127(constB149, bitIndex1) <=> v130(constB149, bitIndex1))),
% 15.73/10.95 inference(modus_ponens,[status(thm)],[21974, 21973])).
% 15.73/10.95 tff(21976,plain,
% 15.73/10.95 (v127(constB149, bitIndex1) <=> v130(constB149, bitIndex1)),
% 15.73/10.95 inference(unit_resolution,[status(thm)],[21975, 5017, 21905])).
% 15.73/10.95 tff(21977,plain,
% 15.73/10.95 (((~![B: $i] : ((~less_3(B)) | (v130(constB149, B) <=> b011(B)))) | ((~less_3(bitIndex1)) | (v130(constB149, bitIndex1) <=> b011(bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v130(constB149, B) <=> b011(B)))) | (~less_3(bitIndex1)) | (v130(constB149, bitIndex1) <=> b011(bitIndex1)))),
% 15.73/10.95 inference(rewrite,[status(thm)],[])).
% 15.73/10.95 tff(21978,plain,
% 15.73/10.95 ((~![B: $i] : ((~less_3(B)) | (v130(constB149, B) <=> b011(B)))) | ((~less_3(bitIndex1)) | (v130(constB149, bitIndex1) <=> b011(bitIndex1)))),
% 15.73/10.95 inference(quant_inst,[status(thm)],[])).
% 15.73/10.95 tff(21979,plain,
% 15.73/10.95 ((~![B: $i] : ((~less_3(B)) | (v130(constB149, B) <=> b011(B)))) | (~less_3(bitIndex1)) | (v130(constB149, bitIndex1) <=> b011(bitIndex1))),
% 15.73/10.95 inference(modus_ponens,[status(thm)],[21978, 21977])).
% 15.73/10.95 tff(21980,plain,
% 15.73/10.95 (v130(constB149, bitIndex1) <=> b011(bitIndex1)),
% 15.73/10.95 inference(unit_resolution,[status(thm)],[21979, 5017, 21914])).
% 15.73/10.95 tff(21981,plain,
% 15.73/10.95 ((~(v130(constB149, bitIndex1) <=> b011(bitIndex1))) | v130(constB149, bitIndex1) | (~b011(bitIndex1))),
% 15.73/10.95 inference(tautology,[status(thm)],[])).
% 15.73/10.95 tff(21982,plain,
% 15.73/10.95 ((~(v130(constB149, bitIndex1) <=> b011(bitIndex1))) | v130(constB149, bitIndex1)),
% 15.73/10.95 inference(unit_resolution,[status(thm)],[21981, 6057])).
% 15.73/10.95 tff(21983,plain,
% 15.73/10.95 (v130(constB149, bitIndex1)),
% 15.73/10.95 inference(unit_resolution,[status(thm)],[21982, 21980])).
% 15.73/10.95 tff(21984,plain,
% 15.73/10.95 ((~(v127(constB149, bitIndex1) <=> v130(constB149, bitIndex1))) | v127(constB149, bitIndex1) | (~v130(constB149, bitIndex1))),
% 15.73/10.95 inference(tautology,[status(thm)],[])).
% 15.73/10.95 tff(21985,plain,
% 15.73/10.95 (v127(constB149, bitIndex1)),
% 15.73/10.95 inference(unit_resolution,[status(thm)],[21984, 21983, 21976])).
% 15.73/10.95 tff(21986,plain,
% 15.73/10.95 ((~(v129(constB150, bitIndex1) <=> v127(constB149, bitIndex1))) | v129(constB150, bitIndex1) | (~v127(constB149, bitIndex1))),
% 15.73/10.95 inference(tautology,[status(thm)],[])).
% 15.73/10.95 tff(21987,plain,
% 15.73/10.95 (v129(constB150, bitIndex1)),
% 15.73/10.95 inference(unit_resolution,[status(thm)],[21986, 21985, 21972])).
% 15.73/10.95 tff(21988,plain,
% 15.73/10.95 ((~(v90(constB150, bitIndex1) <=> v129(constB150, bitIndex1))) | v90(constB150, bitIndex1) | (~v129(constB150, bitIndex1))),
% 15.73/10.95 inference(tautology,[status(thm)],[])).
% 15.73/10.95 tff(21989,plain,
% 15.73/10.95 (v90(constB150, bitIndex1)),
% 15.73/10.95 inference(unit_resolution,[status(thm)],[21988, 21987, 21968])).
% 15.73/10.95 tff(21990,plain,
% 15.73/10.95 ((~(v90(constB151, bitIndex1) <=> v90(constB150, bitIndex1))) | v90(constB151, bitIndex1) | (~v90(constB150, bitIndex1))),
% 15.73/10.95 inference(tautology,[status(thm)],[])).
% 15.73/10.95 tff(21991,plain,
% 15.73/10.95 (v90(constB151, bitIndex1)),
% 15.73/10.95 inference(unit_resolution,[status(thm)],[21990, 21989, 21964])).
% 15.73/10.95 tff(21992,plain,
% 15.73/10.95 ((~(v90(constB151, bitIndex2) | (~v90(constB151, bitIndex1)) | (~v90(constB151, bitIndex0)))) | v90(constB151, bitIndex2) | (~v90(constB151, bitIndex1)) | (~v90(constB151, bitIndex0))),
% 15.73/10.95 inference(tautology,[status(thm)],[])).
% 15.73/10.95 tff(21993,plain,
% 15.73/10.95 (~(v90(constB151, bitIndex2) | (~v90(constB151, bitIndex1)) | (~v90(constB151, bitIndex0)))),
% 15.73/10.95 inference(unit_resolution,[status(thm)],[21992, 21991, 21960, 21929])).
% 15.73/10.95 tff(21994,plain,
% 15.73/10.95 ((~(v122(constB151) <=> (~(v90(constB151, bitIndex2) | (~v90(constB151, bitIndex1)) | (~v90(constB151, bitIndex0)))))) | v122(constB151) | (v90(constB151, bitIndex2) | (~v90(constB151, bitIndex1)) | (~v90(constB151, bitIndex0)))),
% 15.73/10.95 inference(tautology,[status(thm)],[])).
% 15.73/10.95 tff(21995,plain,
% 15.73/10.95 (v122(constB151)),
% 15.73/10.95 inference(unit_resolution,[status(thm)],[21994, 21993, 21510])).
% 15.73/10.95 tff(21996,plain,
% 15.73/10.95 ((v117(constB151) | v122(constB151)) | (~v122(constB151))),
% 15.73/10.95 inference(tautology,[status(thm)],[])).
% 15.73/10.95 tff(21997,plain,
% 15.73/10.95 (v117(constB151) | v122(constB151)),
% 15.73/10.95 inference(unit_resolution,[status(thm)],[21996, 21995])).
% 15.73/10.95 tff(21998,plain,
% 15.73/10.95 ((~(v116(constB151) <=> (v117(constB151) | v122(constB151)))) | v116(constB151) | (~(v117(constB151) | v122(constB151)))),
% 15.73/10.95 inference(tautology,[status(thm)],[])).
% 15.73/10.95 tff(21999,plain,
% 15.73/10.95 (v116(constB151)),
% 15.73/10.95 inference(unit_resolution,[status(thm)],[21998, 21997, 21503])).
% 15.73/10.95 tff(22000,plain,
% 15.73/10.95 ((v116(constB151) | v123(constB151)) | (~v116(constB151))),
% 15.73/10.95 inference(tautology,[status(thm)],[])).
% 15.73/10.95 tff(22001,plain,
% 15.73/10.95 (v116(constB151) | v123(constB151)),
% 15.73/10.95 inference(unit_resolution,[status(thm)],[22000, 21999])).
% 15.73/10.95 tff(22002,plain,
% 15.73/10.95 ((~(v115(constB151) <=> (v116(constB151) | v123(constB151)))) | v115(constB151) | (~(v116(constB151) | v123(constB151)))),
% 15.73/10.95 inference(tautology,[status(thm)],[])).
% 15.73/10.95 tff(22003,plain,
% 15.73/10.95 (v115(constB151)),
% 15.73/10.95 inference(unit_resolution,[status(thm)],[22002, 22001, 21501])).
% 15.73/10.95 tff(22004,plain,
% 15.73/10.95 ((v115(constB151) | v124(constB151)) | (~v115(constB151))),
% 15.73/10.95 inference(tautology,[status(thm)],[])).
% 15.73/10.95 tff(22005,plain,
% 15.73/10.95 (v115(constB151) | v124(constB151)),
% 15.73/10.95 inference(unit_resolution,[status(thm)],[22004, 22003])).
% 15.73/10.95 tff(22006,plain,
% 15.73/10.95 ((~(v114(constB151) <=> (v115(constB151) | v124(constB151)))) | v114(constB151) | (~(v115(constB151) | v124(constB151)))),
% 15.73/10.95 inference(tautology,[status(thm)],[])).
% 15.73/10.95 tff(22007,plain,
% 15.73/10.95 (v114(constB151)),
% 15.73/10.95 inference(unit_resolution,[status(thm)],[22006, 22005, 21499])).
% 15.73/10.95 tff(22008,plain,
% 15.73/10.95 ((v114(constB151) | v125(constB151)) | (~v114(constB151))),
% 15.73/10.95 inference(tautology,[status(thm)],[])).
% 15.73/10.95 tff(22009,plain,
% 15.73/10.95 (v114(constB151) | v125(constB151)),
% 15.73/10.95 inference(unit_resolution,[status(thm)],[22008, 22007])).
% 15.73/10.95 tff(22010,plain,
% 15.73/10.95 ((~(v113(constB151) <=> (v114(constB151) | v125(constB151)))) | v113(constB151) | (~(v114(constB151) | v125(constB151)))),
% 15.73/10.95 inference(tautology,[status(thm)],[])).
% 15.73/10.95 tff(22011,plain,
% 15.73/10.95 (v113(constB151)),
% 15.73/10.95 inference(unit_resolution,[status(thm)],[22010, 22009, 21497])).
% 15.73/10.95 tff(22012,plain,
% 15.73/10.95 ((~![VarCurr: $i] : ((~v126(VarCurr)) <=> v111(VarCurr))) | ((~v126(constB151)) <=> v111(constB151))),
% 15.73/10.95 inference(quant_inst,[status(thm)],[])).
% 15.73/10.95 tff(22013,plain,
% 15.73/10.95 ((~v126(constB151)) <=> v111(constB151)),
% 15.73/10.95 inference(unit_resolution,[status(thm)],[22012, 5074])).
% 15.73/10.95 tff(22014,plain,
% 15.73/10.95 ((~![VarCurr: $i] : (v111(VarCurr) <=> v26(VarCurr))) | (v111(constB151) <=> v26(constB151))),
% 15.73/10.95 inference(quant_inst,[status(thm)],[])).
% 15.73/10.95 tff(22015,plain,
% 15.73/10.95 (v111(constB151) <=> v26(constB151)),
% 15.73/10.95 inference(unit_resolution,[status(thm)],[22014, 5086])).
% 15.73/10.95 tff(22016,plain,
% 15.73/10.95 ((~![VarCurr: $i] : (~v26(VarCurr))) | (~v26(constB151))),
% 15.73/10.95 inference(quant_inst,[status(thm)],[])).
% 15.73/10.95 tff(22017,plain,
% 15.73/10.95 (~v26(constB151)),
% 15.73/10.95 inference(unit_resolution,[status(thm)],[22016, 5098])).
% 15.73/10.95 tff(22018,plain,
% 15.73/10.95 ((~(v111(constB151) <=> v26(constB151))) | (~v111(constB151)) | v26(constB151)),
% 15.73/10.95 inference(tautology,[status(thm)],[])).
% 15.73/10.95 tff(22019,plain,
% 15.73/10.95 ((~(v111(constB151) <=> v26(constB151))) | (~v111(constB151))),
% 15.73/10.95 inference(unit_resolution,[status(thm)],[22018, 22017])).
% 15.73/10.95 tff(22020,plain,
% 15.73/10.95 (~v111(constB151)),
% 15.73/10.95 inference(unit_resolution,[status(thm)],[22019, 22015])).
% 15.73/10.95 tff(22021,plain,
% 15.73/10.95 ((~((~v126(constB151)) <=> v111(constB151))) | v126(constB151) | v111(constB151)),
% 15.73/10.95 inference(tautology,[status(thm)],[])).
% 15.73/10.95 tff(22022,plain,
% 15.73/10.95 ((~((~v126(constB151)) <=> v111(constB151))) | v126(constB151)),
% 15.73/10.95 inference(unit_resolution,[status(thm)],[22021, 22020])).
% 15.73/10.95 tff(22023,plain,
% 15.73/10.95 (v126(constB151)),
% 15.73/10.95 inference(unit_resolution,[status(thm)],[22022, 22013])).
% 15.73/10.95 tff(22024,plain,
% 15.73/10.95 ((~((~v113(constB151)) | (~v126(constB151)))) | (~v113(constB151)) | (~v126(constB151))),
% 15.73/10.95 inference(tautology,[status(thm)],[])).
% 15.73/10.95 tff(22025,plain,
% 15.73/10.95 ((~((~v113(constB151)) | (~v126(constB151)))) | (~v113(constB151))),
% 15.73/10.95 inference(unit_resolution,[status(thm)],[22024, 22023])).
% 15.73/10.95 tff(22026,plain,
% 15.73/10.95 (~((~v113(constB151)) | (~v126(constB151)))),
% 15.73/10.95 inference(unit_resolution,[status(thm)],[22025, 22011])).
% 15.73/10.95 tff(22027,plain,
% 15.73/10.95 ((~(v112(constB151) <=> (~((~v113(constB151)) | (~v126(constB151)))))) | v112(constB151) | ((~v113(constB151)) | (~v126(constB151)))),
% 15.73/10.95 inference(tautology,[status(thm)],[])).
% 15.73/10.95 tff(22028,plain,
% 15.73/10.95 (v112(constB151)),
% 15.73/10.95 inference(unit_resolution,[status(thm)],[22027, 22026, 21495])).
% 15.73/10.95 tff(22029,plain,
% 15.73/10.95 ((v111(constB151) | v112(constB151)) | (~v112(constB151))),
% 15.73/10.95 inference(tautology,[status(thm)],[])).
% 15.73/10.95 tff(22030,plain,
% 15.73/10.95 (v111(constB151) | v112(constB151)),
% 15.73/10.95 inference(unit_resolution,[status(thm)],[22029, 22028])).
% 15.73/10.95 tff(22031,plain,
% 15.73/10.95 ((~(v108(constB151) <=> (v111(constB151) | v112(constB151)))) | v108(constB151) | (~(v111(constB151) | v112(constB151)))),
% 15.73/10.95 inference(tautology,[status(thm)],[])).
% 15.73/10.95 tff(22032,plain,
% 15.73/10.95 (v108(constB151)),
% 15.73/10.95 inference(unit_resolution,[status(thm)],[22031, 22030, 21493])).
% 15.73/10.95 tff(22033,plain,
% 15.73/10.95 ((~(v110(constB152) <=> v108(constB151))) | v110(constB152) | (~v108(constB151))),
% 15.73/10.95 inference(tautology,[status(thm)],[])).
% 15.73/10.95 tff(22034,plain,
% 15.73/10.95 (v110(constB152)),
% 15.73/10.95 inference(unit_resolution,[status(thm)],[22033, 22032, 21491])).
% 15.73/10.95 tff(22035,plain,
% 15.73/10.95 ((~((~v101(constB152)) | (~v110(constB152)))) | (~v101(constB152)) | (~v110(constB152))),
% 15.73/10.95 inference(tautology,[status(thm)],[])).
% 15.73/10.95 tff(22036,plain,
% 15.73/10.95 (~((~v101(constB152)) | (~v110(constB152)))),
% 15.73/10.95 inference(unit_resolution,[status(thm)],[22035, 22034, 21487])).
% 15.73/10.95 tff(22037,plain,
% 15.73/10.95 ((~(v100(constB152) <=> (~((~v101(constB152)) | (~v110(constB152)))))) | v100(constB152) | ((~v101(constB152)) | (~v110(constB152)))),
% 15.73/10.95 inference(tautology,[status(thm)],[])).
% 15.73/10.96 tff(22038,plain,
% 15.73/10.96 (v100(constB152)),
% 15.73/10.96 inference(unit_resolution,[status(thm)],[22037, 22036, 21456])).
% 15.73/10.96 tff(22039,plain,
% 15.73/10.96 (((~![VarNext: $i] : ((~v100(VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v129(VarNext, B))))) | ((~v100(constB152)) | ![B: $i] : ((~less_3(B)) | (v90(constB152, B) <=> v129(constB152, B))))) <=> ((~![VarNext: $i] : ((~v100(VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v129(VarNext, B))))) | (~v100(constB152)) | ![B: $i] : ((~less_3(B)) | (v90(constB152, B) <=> v129(constB152, B))))),
% 15.73/10.96 inference(rewrite,[status(thm)],[])).
% 15.73/10.96 tff(22040,plain,
% 15.73/10.96 ((~![VarNext: $i] : ((~v100(VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v129(VarNext, B))))) | ((~v100(constB152)) | ![B: $i] : ((~less_3(B)) | (v90(constB152, B) <=> v129(constB152, B))))),
% 15.73/10.96 inference(quant_inst,[status(thm)],[])).
% 15.73/10.96 tff(22041,plain,
% 15.73/10.96 ((~![VarNext: $i] : ((~v100(VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v129(VarNext, B))))) | (~v100(constB152)) | ![B: $i] : ((~less_3(B)) | (v90(constB152, B) <=> v129(constB152, B)))),
% 15.73/10.96 inference(modus_ponens,[status(thm)],[22040, 22039])).
% 15.73/10.96 tff(22042,plain,
% 15.73/10.96 ((~v100(constB152)) | ![B: $i] : ((~less_3(B)) | (v90(constB152, B) <=> v129(constB152, B)))),
% 15.73/10.96 inference(unit_resolution,[status(thm)],[22041, 5134])).
% 15.73/10.96 tff(22043,plain,
% 15.73/10.96 (![B: $i] : ((~less_3(B)) | (v90(constB152, B) <=> v129(constB152, B)))),
% 15.73/10.96 inference(unit_resolution,[status(thm)],[22042, 22038])).
% 15.73/10.96 tff(22044,plain,
% 15.73/10.96 (((~![B: $i] : ((~less_3(B)) | (v90(constB152, B) <=> v129(constB152, B)))) | ((~less_3(bitIndex2)) | (v90(constB152, bitIndex2) <=> v129(constB152, bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v90(constB152, B) <=> v129(constB152, B)))) | (~less_3(bitIndex2)) | (v90(constB152, bitIndex2) <=> v129(constB152, bitIndex2)))),
% 15.73/10.96 inference(rewrite,[status(thm)],[])).
% 15.73/10.96 tff(22045,plain,
% 15.73/10.96 ((~![B: $i] : ((~less_3(B)) | (v90(constB152, B) <=> v129(constB152, B)))) | ((~less_3(bitIndex2)) | (v90(constB152, bitIndex2) <=> v129(constB152, bitIndex2)))),
% 15.73/10.96 inference(quant_inst,[status(thm)],[])).
% 15.73/10.96 tff(22046,plain,
% 15.73/10.96 ((~![B: $i] : ((~less_3(B)) | (v90(constB152, B) <=> v129(constB152, B)))) | (~less_3(bitIndex2)) | (v90(constB152, bitIndex2) <=> v129(constB152, bitIndex2))),
% 15.73/10.96 inference(modus_ponens,[status(thm)],[22045, 22044])).
% 15.73/10.96 tff(22047,plain,
% 15.73/10.96 (v90(constB152, bitIndex2) <=> v129(constB152, bitIndex2)),
% 15.73/10.96 inference(unit_resolution,[status(thm)],[22046, 413, 22043])).
% 15.73/10.96 tff(22048,plain,
% 15.73/10.96 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v129(VarNext, B) <=> v127(VarCurr, B))))) | ((~nextState(constB151, constB152)) | ![B: $i] : ((~less_3(B)) | (v129(constB152, B) <=> v127(constB151, B))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v129(VarNext, B) <=> v127(VarCurr, B))))) | (~nextState(constB151, constB152)) | ![B: $i] : ((~less_3(B)) | (v129(constB152, B) <=> v127(constB151, B))))),
% 15.73/10.96 inference(rewrite,[status(thm)],[])).
% 15.73/10.96 tff(22049,plain,
% 15.73/10.96 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v129(VarNext, B) <=> v127(VarCurr, B))))) | ((~nextState(constB151, constB152)) | ![B: $i] : ((~less_3(B)) | (v129(constB152, B) <=> v127(constB151, B))))),
% 15.73/10.96 inference(quant_inst,[status(thm)],[])).
% 15.73/10.96 tff(22050,plain,
% 15.73/10.96 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v129(VarNext, B) <=> v127(VarCurr, B))))) | (~nextState(constB151, constB152)) | ![B: $i] : ((~less_3(B)) | (v129(constB152, B) <=> v127(constB151, B)))),
% 15.73/10.96 inference(modus_ponens,[status(thm)],[22049, 22048])).
% 15.73/10.96 tff(22051,plain,
% 15.73/10.96 (![B: $i] : ((~less_3(B)) | (v129(constB152, B) <=> v127(constB151, B)))),
% 15.73/10.96 inference(unit_resolution,[status(thm)],[22050, 21452, 5156])).
% 15.73/10.96 tff(22052,plain,
% 15.73/10.96 (((~![B: $i] : ((~less_3(B)) | (v129(constB152, B) <=> v127(constB151, B)))) | ((~less_3(bitIndex2)) | (v129(constB152, bitIndex2) <=> v127(constB151, bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v129(constB152, B) <=> v127(constB151, B)))) | (~less_3(bitIndex2)) | (v129(constB152, bitIndex2) <=> v127(constB151, bitIndex2)))),
% 15.73/10.96 inference(rewrite,[status(thm)],[])).
% 15.73/10.96 tff(22053,plain,
% 15.73/10.96 ((~![B: $i] : ((~less_3(B)) | (v129(constB152, B) <=> v127(constB151, B)))) | ((~less_3(bitIndex2)) | (v129(constB152, bitIndex2) <=> v127(constB151, bitIndex2)))),
% 15.73/10.96 inference(quant_inst,[status(thm)],[])).
% 15.73/10.96 tff(22054,plain,
% 15.73/10.96 ((~![B: $i] : ((~less_3(B)) | (v129(constB152, B) <=> v127(constB151, B)))) | (~less_3(bitIndex2)) | (v129(constB152, bitIndex2) <=> v127(constB151, bitIndex2))),
% 15.73/10.96 inference(modus_ponens,[status(thm)],[22053, 22052])).
% 15.73/10.96 tff(22055,plain,
% 15.73/10.96 (v129(constB152, bitIndex2) <=> v127(constB151, bitIndex2)),
% 15.73/10.96 inference(unit_resolution,[status(thm)],[22054, 413, 22051])).
% 15.73/10.96 tff(22056,plain,
% 15.73/10.96 (((~![VarCurr: $i] : (v111(VarCurr) | ![B: $i] : ((~less_3(B)) | (v127(VarCurr, B) <=> v130(VarCurr, B))))) | (v111(constB151) | ![B: $i] : ((~less_3(B)) | (v127(constB151, B) <=> v130(constB151, B))))) <=> ((~![VarCurr: $i] : (v111(VarCurr) | ![B: $i] : ((~less_3(B)) | (v127(VarCurr, B) <=> v130(VarCurr, B))))) | v111(constB151) | ![B: $i] : ((~less_3(B)) | (v127(constB151, B) <=> v130(constB151, B))))),
% 15.73/10.96 inference(rewrite,[status(thm)],[])).
% 15.73/10.96 tff(22057,plain,
% 15.73/10.96 ((~![VarCurr: $i] : (v111(VarCurr) | ![B: $i] : ((~less_3(B)) | (v127(VarCurr, B) <=> v130(VarCurr, B))))) | (v111(constB151) | ![B: $i] : ((~less_3(B)) | (v127(constB151, B) <=> v130(constB151, B))))),
% 15.73/10.96 inference(quant_inst,[status(thm)],[])).
% 15.73/10.96 tff(22058,plain,
% 15.73/10.96 ((~![VarCurr: $i] : (v111(VarCurr) | ![B: $i] : ((~less_3(B)) | (v127(VarCurr, B) <=> v130(VarCurr, B))))) | v111(constB151) | ![B: $i] : ((~less_3(B)) | (v127(constB151, B) <=> v130(constB151, B)))),
% 15.73/10.96 inference(modus_ponens,[status(thm)],[22057, 22056])).
% 15.73/10.96 tff(22059,plain,
% 15.73/10.96 (![B: $i] : ((~less_3(B)) | (v127(constB151, B) <=> v130(constB151, B)))),
% 15.73/10.96 inference(unit_resolution,[status(thm)],[22058, 5177, 22020])).
% 15.73/10.96 tff(22060,plain,
% 15.73/10.96 (((~![B: $i] : ((~less_3(B)) | (v127(constB151, B) <=> v130(constB151, B)))) | ((~less_3(bitIndex2)) | (v127(constB151, bitIndex2) <=> v130(constB151, bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v127(constB151, B) <=> v130(constB151, B)))) | (~less_3(bitIndex2)) | (v127(constB151, bitIndex2) <=> v130(constB151, bitIndex2)))),
% 15.73/10.96 inference(rewrite,[status(thm)],[])).
% 15.73/10.96 tff(22061,plain,
% 15.73/10.96 ((~![B: $i] : ((~less_3(B)) | (v127(constB151, B) <=> v130(constB151, B)))) | ((~less_3(bitIndex2)) | (v127(constB151, bitIndex2) <=> v130(constB151, bitIndex2)))),
% 15.73/10.96 inference(quant_inst,[status(thm)],[])).
% 15.73/10.96 tff(22062,plain,
% 15.73/10.96 ((~![B: $i] : ((~less_3(B)) | (v127(constB151, B) <=> v130(constB151, B)))) | (~less_3(bitIndex2)) | (v127(constB151, bitIndex2) <=> v130(constB151, bitIndex2))),
% 15.73/10.96 inference(modus_ponens,[status(thm)],[22061, 22060])).
% 15.73/10.96 tff(22063,plain,
% 15.73/10.96 (v127(constB151, bitIndex2) <=> v130(constB151, bitIndex2)),
% 15.73/10.96 inference(unit_resolution,[status(thm)],[22062, 413, 22059])).
% 15.73/10.96 tff(22064,plain,
% 15.73/10.96 (((~![VarCurr: $i] : ((~v122(VarCurr)) | ![B: $i] : ((~less_3(B)) | (v130(VarCurr, B) <=> b100(B))))) | ((~v122(constB151)) | ![B: $i] : ((~less_3(B)) | (v130(constB151, B) <=> b100(B))))) <=> ((~![VarCurr: $i] : ((~v122(VarCurr)) | ![B: $i] : ((~less_3(B)) | (v130(VarCurr, B) <=> b100(B))))) | (~v122(constB151)) | ![B: $i] : ((~less_3(B)) | (v130(constB151, B) <=> b100(B))))),
% 15.73/10.96 inference(rewrite,[status(thm)],[])).
% 15.73/10.96 tff(22065,plain,
% 15.73/10.96 ((~![VarCurr: $i] : ((~v122(VarCurr)) | ![B: $i] : ((~less_3(B)) | (v130(VarCurr, B) <=> b100(B))))) | ((~v122(constB151)) | ![B: $i] : ((~less_3(B)) | (v130(constB151, B) <=> b100(B))))),
% 15.73/10.96 inference(quant_inst,[status(thm)],[])).
% 15.73/10.96 tff(22066,plain,
% 15.73/10.96 ((~![VarCurr: $i] : ((~v122(VarCurr)) | ![B: $i] : ((~less_3(B)) | (v130(VarCurr, B) <=> b100(B))))) | (~v122(constB151)) | ![B: $i] : ((~less_3(B)) | (v130(constB151, B) <=> b100(B)))),
% 15.73/10.96 inference(modus_ponens,[status(thm)],[22065, 22064])).
% 15.73/10.96 tff(22067,plain,
% 15.73/10.96 ((~v122(constB151)) | ![B: $i] : ((~less_3(B)) | (v130(constB151, B) <=> b100(B)))),
% 15.73/10.96 inference(unit_resolution,[status(thm)],[22066, 6153])).
% 15.73/10.96 tff(22068,plain,
% 15.73/10.96 (![B: $i] : ((~less_3(B)) | (v130(constB151, B) <=> b100(B)))),
% 15.73/10.96 inference(unit_resolution,[status(thm)],[22067, 21995])).
% 15.73/10.96 tff(22069,plain,
% 15.73/10.96 (((~![B: $i] : ((~less_3(B)) | (v130(constB151, B) <=> b100(B)))) | ((~less_3(bitIndex2)) | (v130(constB151, bitIndex2) <=> b100(bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v130(constB151, B) <=> b100(B)))) | (~less_3(bitIndex2)) | (v130(constB151, bitIndex2) <=> b100(bitIndex2)))),
% 15.73/10.96 inference(rewrite,[status(thm)],[])).
% 15.73/10.96 tff(22070,plain,
% 15.73/10.96 ((~![B: $i] : ((~less_3(B)) | (v130(constB151, B) <=> b100(B)))) | ((~less_3(bitIndex2)) | (v130(constB151, bitIndex2) <=> b100(bitIndex2)))),
% 15.73/10.96 inference(quant_inst,[status(thm)],[])).
% 15.73/10.96 tff(22071,plain,
% 15.73/10.96 ((~![B: $i] : ((~less_3(B)) | (v130(constB151, B) <=> b100(B)))) | (~less_3(bitIndex2)) | (v130(constB151, bitIndex2) <=> b100(bitIndex2))),
% 15.73/10.96 inference(modus_ponens,[status(thm)],[22070, 22069])).
% 15.73/10.96 tff(22072,plain,
% 15.73/10.96 (v130(constB151, bitIndex2) <=> b100(bitIndex2)),
% 15.73/10.96 inference(unit_resolution,[status(thm)],[22071, 413, 22068])).
% 15.73/10.96 tff(22073,plain,
% 15.73/10.96 ((~(v130(constB151, bitIndex2) <=> b100(bitIndex2))) | v130(constB151, bitIndex2) | (~b100(bitIndex2))),
% 15.73/10.96 inference(tautology,[status(thm)],[])).
% 15.73/10.96 tff(22074,plain,
% 15.73/10.96 ((~(v130(constB151, bitIndex2) <=> b100(bitIndex2))) | v130(constB151, bitIndex2)),
% 15.73/10.96 inference(unit_resolution,[status(thm)],[22073, 5209])).
% 15.73/10.96 tff(22075,plain,
% 15.73/10.96 (v130(constB151, bitIndex2)),
% 15.73/10.96 inference(unit_resolution,[status(thm)],[22074, 22072])).
% 15.73/10.96 tff(22076,plain,
% 15.73/10.96 ((~(v127(constB151, bitIndex2) <=> v130(constB151, bitIndex2))) | v127(constB151, bitIndex2) | (~v130(constB151, bitIndex2))),
% 15.73/10.96 inference(tautology,[status(thm)],[])).
% 15.73/10.96 tff(22077,plain,
% 15.73/10.96 (v127(constB151, bitIndex2)),
% 15.73/10.96 inference(unit_resolution,[status(thm)],[22076, 22075, 22063])).
% 15.73/10.96 tff(22078,plain,
% 15.73/10.96 ((~(v129(constB152, bitIndex2) <=> v127(constB151, bitIndex2))) | v129(constB152, bitIndex2) | (~v127(constB151, bitIndex2))),
% 15.73/10.96 inference(tautology,[status(thm)],[])).
% 15.73/10.96 tff(22079,plain,
% 15.73/10.96 (v129(constB152, bitIndex2)),
% 15.73/10.96 inference(unit_resolution,[status(thm)],[22078, 22077, 22055])).
% 15.73/10.96 tff(22080,plain,
% 15.73/10.96 ((~(v90(constB152, bitIndex2) <=> v129(constB152, bitIndex2))) | v90(constB152, bitIndex2) | (~v129(constB152, bitIndex2))),
% 15.73/10.96 inference(tautology,[status(thm)],[])).
% 15.73/10.96 tff(22081,plain,
% 15.73/10.96 (v90(constB152, bitIndex2)),
% 15.73/10.96 inference(unit_resolution,[status(thm)],[22080, 22079, 22047])).
% 15.73/10.96 tff(22082,plain,
% 15.73/10.96 ((~(v90(constB153, bitIndex2) <=> v90(constB152, bitIndex2))) | v90(constB153, bitIndex2) | (~v90(constB152, bitIndex2))),
% 15.73/10.96 inference(tautology,[status(thm)],[])).
% 15.73/10.96 tff(22083,plain,
% 15.73/10.96 (v90(constB153, bitIndex2)),
% 15.73/10.96 inference(unit_resolution,[status(thm)],[22082, 22081, 21449])).
% 15.73/10.96 tff(22084,plain,
% 15.73/10.96 (((~![B: $i] : ((~less_3(B)) | (v90(constB153, B) <=> v90(constB152, B)))) | ((~less_3(bitIndex0)) | (v90(constB153, bitIndex0) <=> v90(constB152, bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v90(constB153, B) <=> v90(constB152, B)))) | (~less_3(bitIndex0)) | (v90(constB153, bitIndex0) <=> v90(constB152, bitIndex0)))),
% 15.73/10.96 inference(rewrite,[status(thm)],[])).
% 15.73/10.96 tff(22085,plain,
% 15.73/10.96 ((~![B: $i] : ((~less_3(B)) | (v90(constB153, B) <=> v90(constB152, B)))) | ((~less_3(bitIndex0)) | (v90(constB153, bitIndex0) <=> v90(constB152, bitIndex0)))),
% 15.73/10.96 inference(quant_inst,[status(thm)],[])).
% 15.73/10.96 tff(22086,plain,
% 15.73/10.96 ((~![B: $i] : ((~less_3(B)) | (v90(constB153, B) <=> v90(constB152, B)))) | (~less_3(bitIndex0)) | (v90(constB153, bitIndex0) <=> v90(constB152, bitIndex0))),
% 15.73/10.96 inference(modus_ponens,[status(thm)],[22085, 22084])).
% 15.73/10.96 tff(22087,plain,
% 15.73/10.96 (v90(constB153, bitIndex0) <=> v90(constB152, bitIndex0)),
% 15.73/10.96 inference(unit_resolution,[status(thm)],[22086, 5004, 21445])).
% 15.73/10.96 tff(22088,plain,
% 15.73/10.96 (((~![B: $i] : ((~less_3(B)) | (v90(constB152, B) <=> v129(constB152, B)))) | ((~less_3(bitIndex0)) | (v90(constB152, bitIndex0) <=> v129(constB152, bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v90(constB152, B) <=> v129(constB152, B)))) | (~less_3(bitIndex0)) | (v90(constB152, bitIndex0) <=> v129(constB152, bitIndex0)))),
% 15.73/10.96 inference(rewrite,[status(thm)],[])).
% 15.73/10.96 tff(22089,plain,
% 15.73/10.96 ((~![B: $i] : ((~less_3(B)) | (v90(constB152, B) <=> v129(constB152, B)))) | ((~less_3(bitIndex0)) | (v90(constB152, bitIndex0) <=> v129(constB152, bitIndex0)))),
% 15.73/10.96 inference(quant_inst,[status(thm)],[])).
% 15.73/10.96 tff(22090,plain,
% 15.73/10.96 ((~![B: $i] : ((~less_3(B)) | (v90(constB152, B) <=> v129(constB152, B)))) | (~less_3(bitIndex0)) | (v90(constB152, bitIndex0) <=> v129(constB152, bitIndex0))),
% 15.73/10.96 inference(modus_ponens,[status(thm)],[22089, 22088])).
% 15.73/10.96 tff(22091,plain,
% 15.73/10.96 (v90(constB152, bitIndex0) <=> v129(constB152, bitIndex0)),
% 15.73/10.96 inference(unit_resolution,[status(thm)],[22090, 5004, 22043])).
% 15.73/10.96 tff(22092,plain,
% 15.73/10.96 (((~![B: $i] : ((~less_3(B)) | (v129(constB152, B) <=> v127(constB151, B)))) | ((~less_3(bitIndex0)) | (v129(constB152, bitIndex0) <=> v127(constB151, bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v129(constB152, B) <=> v127(constB151, B)))) | (~less_3(bitIndex0)) | (v129(constB152, bitIndex0) <=> v127(constB151, bitIndex0)))),
% 15.73/10.97 inference(rewrite,[status(thm)],[])).
% 15.73/10.97 tff(22093,plain,
% 15.73/10.97 ((~![B: $i] : ((~less_3(B)) | (v129(constB152, B) <=> v127(constB151, B)))) | ((~less_3(bitIndex0)) | (v129(constB152, bitIndex0) <=> v127(constB151, bitIndex0)))),
% 15.73/10.97 inference(quant_inst,[status(thm)],[])).
% 15.73/10.97 tff(22094,plain,
% 15.73/10.97 ((~![B: $i] : ((~less_3(B)) | (v129(constB152, B) <=> v127(constB151, B)))) | (~less_3(bitIndex0)) | (v129(constB152, bitIndex0) <=> v127(constB151, bitIndex0))),
% 15.73/10.97 inference(modus_ponens,[status(thm)],[22093, 22092])).
% 15.73/10.97 tff(22095,plain,
% 15.73/10.97 (v129(constB152, bitIndex0) <=> v127(constB151, bitIndex0)),
% 15.73/10.97 inference(unit_resolution,[status(thm)],[22094, 5004, 22051])).
% 15.73/10.97 tff(22096,plain,
% 15.73/10.97 (((~![B: $i] : ((~less_3(B)) | (v127(constB151, B) <=> v130(constB151, B)))) | ((~less_3(bitIndex0)) | (v127(constB151, bitIndex0) <=> v130(constB151, bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v127(constB151, B) <=> v130(constB151, B)))) | (~less_3(bitIndex0)) | (v127(constB151, bitIndex0) <=> v130(constB151, bitIndex0)))),
% 15.73/10.97 inference(rewrite,[status(thm)],[])).
% 15.73/10.97 tff(22097,plain,
% 15.73/10.97 ((~![B: $i] : ((~less_3(B)) | (v127(constB151, B) <=> v130(constB151, B)))) | ((~less_3(bitIndex0)) | (v127(constB151, bitIndex0) <=> v130(constB151, bitIndex0)))),
% 15.73/10.97 inference(quant_inst,[status(thm)],[])).
% 15.73/10.97 tff(22098,plain,
% 15.73/10.97 ((~![B: $i] : ((~less_3(B)) | (v127(constB151, B) <=> v130(constB151, B)))) | (~less_3(bitIndex0)) | (v127(constB151, bitIndex0) <=> v130(constB151, bitIndex0))),
% 15.73/10.97 inference(modus_ponens,[status(thm)],[22097, 22096])).
% 15.73/10.97 tff(22099,plain,
% 15.73/10.97 (v127(constB151, bitIndex0) <=> v130(constB151, bitIndex0)),
% 15.73/10.97 inference(unit_resolution,[status(thm)],[22098, 5004, 22059])).
% 15.73/10.97 tff(22100,plain,
% 15.73/10.97 (((~![B: $i] : ((~less_3(B)) | (v130(constB151, B) <=> b100(B)))) | ((~less_3(bitIndex0)) | (v130(constB151, bitIndex0) <=> b100(bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v130(constB151, B) <=> b100(B)))) | (~less_3(bitIndex0)) | (v130(constB151, bitIndex0) <=> b100(bitIndex0)))),
% 15.73/10.97 inference(rewrite,[status(thm)],[])).
% 15.73/10.97 tff(22101,plain,
% 15.73/10.97 ((~![B: $i] : ((~less_3(B)) | (v130(constB151, B) <=> b100(B)))) | ((~less_3(bitIndex0)) | (v130(constB151, bitIndex0) <=> b100(bitIndex0)))),
% 15.73/10.97 inference(quant_inst,[status(thm)],[])).
% 15.73/10.97 tff(22102,plain,
% 15.73/10.97 ((~![B: $i] : ((~less_3(B)) | (v130(constB151, B) <=> b100(B)))) | (~less_3(bitIndex0)) | (v130(constB151, bitIndex0) <=> b100(bitIndex0))),
% 15.73/10.97 inference(modus_ponens,[status(thm)],[22101, 22100])).
% 15.73/10.97 tff(22103,plain,
% 15.73/10.97 (v130(constB151, bitIndex0) <=> b100(bitIndex0)),
% 15.73/10.97 inference(unit_resolution,[status(thm)],[22102, 5004, 22068])).
% 15.73/10.97 tff(22104,plain,
% 15.73/10.97 ((~(v130(constB151, bitIndex0) <=> b100(bitIndex0))) | (~v130(constB151, bitIndex0)) | b100(bitIndex0)),
% 15.73/10.97 inference(tautology,[status(thm)],[])).
% 15.73/10.97 tff(22105,plain,
% 15.73/10.97 ((~(v130(constB151, bitIndex0) <=> b100(bitIndex0))) | (~v130(constB151, bitIndex0))),
% 15.73/10.97 inference(unit_resolution,[status(thm)],[22104, 5243])).
% 15.73/10.97 tff(22106,plain,
% 15.73/10.97 (~v130(constB151, bitIndex0)),
% 15.73/10.97 inference(unit_resolution,[status(thm)],[22105, 22103])).
% 15.73/10.97 tff(22107,plain,
% 15.73/10.97 ((~(v127(constB151, bitIndex0) <=> v130(constB151, bitIndex0))) | (~v127(constB151, bitIndex0)) | v130(constB151, bitIndex0)),
% 15.73/10.97 inference(tautology,[status(thm)],[])).
% 15.73/10.97 tff(22108,plain,
% 15.73/10.97 (~v127(constB151, bitIndex0)),
% 15.73/10.97 inference(unit_resolution,[status(thm)],[22107, 22106, 22099])).
% 15.73/10.97 tff(22109,plain,
% 15.73/10.97 ((~(v129(constB152, bitIndex0) <=> v127(constB151, bitIndex0))) | (~v129(constB152, bitIndex0)) | v127(constB151, bitIndex0)),
% 15.73/10.97 inference(tautology,[status(thm)],[])).
% 15.73/10.97 tff(22110,plain,
% 15.73/10.97 (~v129(constB152, bitIndex0)),
% 15.73/10.97 inference(unit_resolution,[status(thm)],[22109, 22108, 22095])).
% 15.73/10.97 tff(22111,plain,
% 15.73/10.97 ((~(v90(constB152, bitIndex0) <=> v129(constB152, bitIndex0))) | (~v90(constB152, bitIndex0)) | v129(constB152, bitIndex0)),
% 15.73/10.97 inference(tautology,[status(thm)],[])).
% 15.73/10.97 tff(22112,plain,
% 15.73/10.97 (~v90(constB152, bitIndex0)),
% 15.73/10.97 inference(unit_resolution,[status(thm)],[22111, 22110, 22091])).
% 15.73/10.97 tff(22113,plain,
% 15.73/10.97 ((~(v90(constB153, bitIndex0) <=> v90(constB152, bitIndex0))) | (~v90(constB153, bitIndex0)) | v90(constB152, bitIndex0)),
% 15.73/10.97 inference(tautology,[status(thm)],[])).
% 15.73/10.97 tff(22114,plain,
% 15.73/10.97 (~v90(constB153, bitIndex0)),
% 15.73/10.97 inference(unit_resolution,[status(thm)],[22113, 22112, 22087])).
% 15.73/10.97 tff(22115,plain,
% 15.73/10.97 (((~![B: $i] : ((~less_3(B)) | (v90(constB153, B) <=> v90(constB152, B)))) | ((~less_3(bitIndex1)) | (v90(constB153, bitIndex1) <=> v90(constB152, bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v90(constB153, B) <=> v90(constB152, B)))) | (~less_3(bitIndex1)) | (v90(constB153, bitIndex1) <=> v90(constB152, bitIndex1)))),
% 15.73/10.97 inference(rewrite,[status(thm)],[])).
% 15.73/10.97 tff(22116,plain,
% 15.73/10.97 ((~![B: $i] : ((~less_3(B)) | (v90(constB153, B) <=> v90(constB152, B)))) | ((~less_3(bitIndex1)) | (v90(constB153, bitIndex1) <=> v90(constB152, bitIndex1)))),
% 15.73/10.97 inference(quant_inst,[status(thm)],[])).
% 15.73/10.97 tff(22117,plain,
% 15.73/10.97 ((~![B: $i] : ((~less_3(B)) | (v90(constB153, B) <=> v90(constB152, B)))) | (~less_3(bitIndex1)) | (v90(constB153, bitIndex1) <=> v90(constB152, bitIndex1))),
% 15.73/10.97 inference(modus_ponens,[status(thm)],[22116, 22115])).
% 15.73/10.97 tff(22118,plain,
% 15.73/10.97 (v90(constB153, bitIndex1) <=> v90(constB152, bitIndex1)),
% 15.73/10.97 inference(unit_resolution,[status(thm)],[22117, 5017, 21445])).
% 15.73/10.97 tff(22119,plain,
% 15.73/10.97 (((~![B: $i] : ((~less_3(B)) | (v90(constB152, B) <=> v129(constB152, B)))) | ((~less_3(bitIndex1)) | (v90(constB152, bitIndex1) <=> v129(constB152, bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v90(constB152, B) <=> v129(constB152, B)))) | (~less_3(bitIndex1)) | (v90(constB152, bitIndex1) <=> v129(constB152, bitIndex1)))),
% 15.73/10.97 inference(rewrite,[status(thm)],[])).
% 15.73/10.97 tff(22120,plain,
% 15.73/10.97 ((~![B: $i] : ((~less_3(B)) | (v90(constB152, B) <=> v129(constB152, B)))) | ((~less_3(bitIndex1)) | (v90(constB152, bitIndex1) <=> v129(constB152, bitIndex1)))),
% 15.73/10.97 inference(quant_inst,[status(thm)],[])).
% 15.73/10.97 tff(22121,plain,
% 15.73/10.97 ((~![B: $i] : ((~less_3(B)) | (v90(constB152, B) <=> v129(constB152, B)))) | (~less_3(bitIndex1)) | (v90(constB152, bitIndex1) <=> v129(constB152, bitIndex1))),
% 15.73/10.97 inference(modus_ponens,[status(thm)],[22120, 22119])).
% 15.73/10.97 tff(22122,plain,
% 15.73/10.97 (v90(constB152, bitIndex1) <=> v129(constB152, bitIndex1)),
% 15.73/10.97 inference(unit_resolution,[status(thm)],[22121, 5017, 22043])).
% 15.73/10.97 tff(22123,plain,
% 15.73/10.97 (((~![B: $i] : ((~less_3(B)) | (v129(constB152, B) <=> v127(constB151, B)))) | ((~less_3(bitIndex1)) | (v129(constB152, bitIndex1) <=> v127(constB151, bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v129(constB152, B) <=> v127(constB151, B)))) | (~less_3(bitIndex1)) | (v129(constB152, bitIndex1) <=> v127(constB151, bitIndex1)))),
% 15.73/10.97 inference(rewrite,[status(thm)],[])).
% 15.73/10.97 tff(22124,plain,
% 15.73/10.97 ((~![B: $i] : ((~less_3(B)) | (v129(constB152, B) <=> v127(constB151, B)))) | ((~less_3(bitIndex1)) | (v129(constB152, bitIndex1) <=> v127(constB151, bitIndex1)))),
% 15.73/10.97 inference(quant_inst,[status(thm)],[])).
% 15.73/10.97 tff(22125,plain,
% 15.73/10.97 ((~![B: $i] : ((~less_3(B)) | (v129(constB152, B) <=> v127(constB151, B)))) | (~less_3(bitIndex1)) | (v129(constB152, bitIndex1) <=> v127(constB151, bitIndex1))),
% 15.73/10.97 inference(modus_ponens,[status(thm)],[22124, 22123])).
% 15.73/10.97 tff(22126,plain,
% 15.73/10.97 (v129(constB152, bitIndex1) <=> v127(constB151, bitIndex1)),
% 15.73/10.97 inference(unit_resolution,[status(thm)],[22125, 5017, 22051])).
% 15.73/10.97 tff(22127,plain,
% 15.73/10.97 (((~![B: $i] : ((~less_3(B)) | (v127(constB151, B) <=> v130(constB151, B)))) | ((~less_3(bitIndex1)) | (v127(constB151, bitIndex1) <=> v130(constB151, bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v127(constB151, B) <=> v130(constB151, B)))) | (~less_3(bitIndex1)) | (v127(constB151, bitIndex1) <=> v130(constB151, bitIndex1)))),
% 15.73/10.97 inference(rewrite,[status(thm)],[])).
% 15.73/10.97 tff(22128,plain,
% 15.73/10.97 ((~![B: $i] : ((~less_3(B)) | (v127(constB151, B) <=> v130(constB151, B)))) | ((~less_3(bitIndex1)) | (v127(constB151, bitIndex1) <=> v130(constB151, bitIndex1)))),
% 15.73/10.97 inference(quant_inst,[status(thm)],[])).
% 15.73/10.97 tff(22129,plain,
% 15.73/10.97 ((~![B: $i] : ((~less_3(B)) | (v127(constB151, B) <=> v130(constB151, B)))) | (~less_3(bitIndex1)) | (v127(constB151, bitIndex1) <=> v130(constB151, bitIndex1))),
% 15.73/10.97 inference(modus_ponens,[status(thm)],[22128, 22127])).
% 15.73/10.97 tff(22130,plain,
% 15.73/10.97 (v127(constB151, bitIndex1) <=> v130(constB151, bitIndex1)),
% 15.73/10.97 inference(unit_resolution,[status(thm)],[22129, 5017, 22059])).
% 15.73/10.97 tff(22131,plain,
% 15.73/10.97 (((~![B: $i] : ((~less_3(B)) | (v130(constB151, B) <=> b100(B)))) | ((~less_3(bitIndex1)) | (v130(constB151, bitIndex1) <=> b100(bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v130(constB151, B) <=> b100(B)))) | (~less_3(bitIndex1)) | (v130(constB151, bitIndex1) <=> b100(bitIndex1)))),
% 15.73/10.97 inference(rewrite,[status(thm)],[])).
% 15.73/10.97 tff(22132,plain,
% 15.73/10.97 ((~![B: $i] : ((~less_3(B)) | (v130(constB151, B) <=> b100(B)))) | ((~less_3(bitIndex1)) | (v130(constB151, bitIndex1) <=> b100(bitIndex1)))),
% 15.73/10.97 inference(quant_inst,[status(thm)],[])).
% 15.73/10.97 tff(22133,plain,
% 15.73/10.97 ((~![B: $i] : ((~less_3(B)) | (v130(constB151, B) <=> b100(B)))) | (~less_3(bitIndex1)) | (v130(constB151, bitIndex1) <=> b100(bitIndex1))),
% 15.73/10.97 inference(modus_ponens,[status(thm)],[22132, 22131])).
% 15.73/10.97 tff(22134,plain,
% 15.73/10.97 (v130(constB151, bitIndex1) <=> b100(bitIndex1)),
% 15.73/10.97 inference(unit_resolution,[status(thm)],[22133, 5017, 22068])).
% 15.73/10.97 tff(22135,plain,
% 15.73/10.97 ((~(v130(constB151, bitIndex1) <=> b100(bitIndex1))) | (~v130(constB151, bitIndex1)) | b100(bitIndex1)),
% 15.73/10.97 inference(tautology,[status(thm)],[])).
% 15.73/10.97 tff(22136,plain,
% 15.73/10.97 ((~(v130(constB151, bitIndex1) <=> b100(bitIndex1))) | (~v130(constB151, bitIndex1))),
% 15.73/10.97 inference(unit_resolution,[status(thm)],[22135, 5277])).
% 15.73/10.97 tff(22137,plain,
% 15.73/10.97 (~v130(constB151, bitIndex1)),
% 15.73/10.97 inference(unit_resolution,[status(thm)],[22136, 22134])).
% 15.73/10.97 tff(22138,plain,
% 15.73/10.97 ((~(v127(constB151, bitIndex1) <=> v130(constB151, bitIndex1))) | (~v127(constB151, bitIndex1)) | v130(constB151, bitIndex1)),
% 15.73/10.97 inference(tautology,[status(thm)],[])).
% 15.73/10.97 tff(22139,plain,
% 15.73/10.97 (~v127(constB151, bitIndex1)),
% 15.73/10.97 inference(unit_resolution,[status(thm)],[22138, 22137, 22130])).
% 15.73/10.97 tff(22140,plain,
% 15.73/10.97 ((~(v129(constB152, bitIndex1) <=> v127(constB151, bitIndex1))) | (~v129(constB152, bitIndex1)) | v127(constB151, bitIndex1)),
% 15.73/10.97 inference(tautology,[status(thm)],[])).
% 15.73/10.97 tff(22141,plain,
% 15.73/10.97 (~v129(constB152, bitIndex1)),
% 15.73/10.97 inference(unit_resolution,[status(thm)],[22140, 22139, 22126])).
% 15.73/10.97 tff(22142,plain,
% 15.73/10.97 ((~(v90(constB152, bitIndex1) <=> v129(constB152, bitIndex1))) | (~v90(constB152, bitIndex1)) | v129(constB152, bitIndex1)),
% 15.73/10.97 inference(tautology,[status(thm)],[])).
% 15.73/10.97 tff(22143,plain,
% 15.73/10.97 (~v90(constB152, bitIndex1)),
% 15.73/10.97 inference(unit_resolution,[status(thm)],[22142, 22141, 22122])).
% 15.73/10.97 tff(22144,plain,
% 15.73/10.97 ((~(v90(constB153, bitIndex1) <=> v90(constB152, bitIndex1))) | (~v90(constB153, bitIndex1)) | v90(constB152, bitIndex1)),
% 15.73/10.97 inference(tautology,[status(thm)],[])).
% 15.73/10.97 tff(22145,plain,
% 15.73/10.97 (~v90(constB153, bitIndex1)),
% 15.73/10.97 inference(unit_resolution,[status(thm)],[22144, 22143, 22118])).
% 15.73/10.97 tff(22146,plain,
% 15.73/10.97 ((~((~v90(constB153, bitIndex2)) | v90(constB153, bitIndex1) | v90(constB153, bitIndex0))) | (~v90(constB153, bitIndex2)) | v90(constB153, bitIndex1) | v90(constB153, bitIndex0)),
% 15.73/10.97 inference(tautology,[status(thm)],[])).
% 15.73/10.97 tff(22147,plain,
% 15.73/10.97 (~((~v90(constB153, bitIndex2)) | v90(constB153, bitIndex1) | v90(constB153, bitIndex0))),
% 15.73/10.97 inference(unit_resolution,[status(thm)],[22146, 22145, 22114, 22083])).
% 15.73/10.97 tff(22148,plain,
% 15.73/10.97 ((~(v123(constB153) <=> (~((~v90(constB153, bitIndex2)) | v90(constB153, bitIndex1) | v90(constB153, bitIndex0))))) | v123(constB153) | ((~v90(constB153, bitIndex2)) | v90(constB153, bitIndex1) | v90(constB153, bitIndex0))),
% 15.73/10.97 inference(tautology,[status(thm)],[])).
% 15.73/10.97 tff(22149,plain,
% 15.73/10.97 (v123(constB153)),
% 15.73/10.97 inference(unit_resolution,[status(thm)],[22148, 22147, 21417])).
% 15.73/10.97 tff(22150,plain,
% 15.73/10.97 ((v116(constB153) | v123(constB153)) | (~v123(constB153))),
% 15.73/10.97 inference(tautology,[status(thm)],[])).
% 15.73/10.97 tff(22151,plain,
% 15.73/10.97 (v116(constB153) | v123(constB153)),
% 15.73/10.97 inference(unit_resolution,[status(thm)],[22150, 22149])).
% 15.73/10.97 tff(22152,plain,
% 15.73/10.97 ((~(v115(constB153) <=> (v116(constB153) | v123(constB153)))) | v115(constB153) | (~(v116(constB153) | v123(constB153)))),
% 15.73/10.97 inference(tautology,[status(thm)],[])).
% 15.73/10.97 tff(22153,plain,
% 15.73/10.97 (v115(constB153)),
% 15.73/10.97 inference(unit_resolution,[status(thm)],[22152, 22151, 21410])).
% 15.73/10.97 tff(22154,plain,
% 15.73/10.97 ((v115(constB153) | v124(constB153)) | (~v115(constB153))),
% 15.73/10.97 inference(tautology,[status(thm)],[])).
% 15.73/10.97 tff(22155,plain,
% 15.73/10.97 (v115(constB153) | v124(constB153)),
% 15.73/10.97 inference(unit_resolution,[status(thm)],[22154, 22153])).
% 15.73/10.97 tff(22156,plain,
% 15.73/10.97 ((~(v114(constB153) <=> (v115(constB153) | v124(constB153)))) | v114(constB153) | (~(v115(constB153) | v124(constB153)))),
% 15.73/10.97 inference(tautology,[status(thm)],[])).
% 15.73/10.97 tff(22157,plain,
% 15.73/10.97 (v114(constB153)),
% 15.73/10.97 inference(unit_resolution,[status(thm)],[22156, 22155, 21408])).
% 15.73/10.97 tff(22158,plain,
% 15.73/10.97 ((v114(constB153) | v125(constB153)) | (~v114(constB153))),
% 15.73/10.97 inference(tautology,[status(thm)],[])).
% 15.73/10.97 tff(22159,plain,
% 15.73/10.97 (v114(constB153) | v125(constB153)),
% 15.73/10.97 inference(unit_resolution,[status(thm)],[22158, 22157])).
% 15.73/10.97 tff(22160,plain,
% 15.73/10.97 ((~(v113(constB153) <=> (v114(constB153) | v125(constB153)))) | v113(constB153) | (~(v114(constB153) | v125(constB153)))),
% 15.73/10.97 inference(tautology,[status(thm)],[])).
% 15.73/10.97 tff(22161,plain,
% 15.73/10.97 (v113(constB153)),
% 15.73/10.97 inference(unit_resolution,[status(thm)],[22160, 22159, 21406])).
% 15.73/10.97 tff(22162,plain,
% 15.73/10.97 ((~![VarCurr: $i] : ((~v126(VarCurr)) <=> v111(VarCurr))) | ((~v126(constB153)) <=> v111(constB153))),
% 15.73/10.97 inference(quant_inst,[status(thm)],[])).
% 15.73/10.97 tff(22163,plain,
% 15.73/10.97 ((~v126(constB153)) <=> v111(constB153)),
% 15.73/10.97 inference(unit_resolution,[status(thm)],[22162, 5074])).
% 15.73/10.97 tff(22164,plain,
% 15.73/10.97 ((~![VarCurr: $i] : (v111(VarCurr) <=> v26(VarCurr))) | (v111(constB153) <=> v26(constB153))),
% 15.73/10.97 inference(quant_inst,[status(thm)],[])).
% 15.73/10.97 tff(22165,plain,
% 15.73/10.97 (v111(constB153) <=> v26(constB153)),
% 15.73/10.97 inference(unit_resolution,[status(thm)],[22164, 5086])).
% 15.73/10.97 tff(22166,plain,
% 15.73/10.97 ((~![VarCurr: $i] : (~v26(VarCurr))) | (~v26(constB153))),
% 15.73/10.97 inference(quant_inst,[status(thm)],[])).
% 15.73/10.97 tff(22167,plain,
% 15.73/10.97 (~v26(constB153)),
% 15.73/10.97 inference(unit_resolution,[status(thm)],[22166, 5098])).
% 15.73/10.97 tff(22168,plain,
% 15.73/10.97 ((~(v111(constB153) <=> v26(constB153))) | (~v111(constB153)) | v26(constB153)),
% 15.73/10.97 inference(tautology,[status(thm)],[])).
% 15.73/10.97 tff(22169,plain,
% 15.73/10.97 ((~(v111(constB153) <=> v26(constB153))) | (~v111(constB153))),
% 15.73/10.97 inference(unit_resolution,[status(thm)],[22168, 22167])).
% 15.73/10.97 tff(22170,plain,
% 15.73/10.97 (~v111(constB153)),
% 15.73/10.97 inference(unit_resolution,[status(thm)],[22169, 22165])).
% 15.73/10.97 tff(22171,plain,
% 15.73/10.97 ((~((~v126(constB153)) <=> v111(constB153))) | v126(constB153) | v111(constB153)),
% 15.73/10.97 inference(tautology,[status(thm)],[])).
% 15.73/10.97 tff(22172,plain,
% 15.73/10.97 ((~((~v126(constB153)) <=> v111(constB153))) | v126(constB153)),
% 15.73/10.97 inference(unit_resolution,[status(thm)],[22171, 22170])).
% 15.73/10.97 tff(22173,plain,
% 15.73/10.97 (v126(constB153)),
% 15.73/10.97 inference(unit_resolution,[status(thm)],[22172, 22163])).
% 15.73/10.97 tff(22174,plain,
% 15.73/10.97 ((~((~v113(constB153)) | (~v126(constB153)))) | (~v113(constB153)) | (~v126(constB153))),
% 15.73/10.97 inference(tautology,[status(thm)],[])).
% 15.73/10.97 tff(22175,plain,
% 15.73/10.97 ((~((~v113(constB153)) | (~v126(constB153)))) | (~v113(constB153))),
% 15.73/10.97 inference(unit_resolution,[status(thm)],[22174, 22173])).
% 15.73/10.97 tff(22176,plain,
% 15.73/10.97 (~((~v113(constB153)) | (~v126(constB153)))),
% 15.73/10.97 inference(unit_resolution,[status(thm)],[22175, 22161])).
% 15.73/10.97 tff(22177,plain,
% 15.73/10.97 ((~(v112(constB153) <=> (~((~v113(constB153)) | (~v126(constB153)))))) | v112(constB153) | ((~v113(constB153)) | (~v126(constB153)))),
% 15.73/10.97 inference(tautology,[status(thm)],[])).
% 15.73/10.97 tff(22178,plain,
% 15.73/10.97 (v112(constB153)),
% 15.73/10.97 inference(unit_resolution,[status(thm)],[22177, 22176, 21404])).
% 15.73/10.97 tff(22179,plain,
% 15.73/10.97 ((v111(constB153) | v112(constB153)) | (~v112(constB153))),
% 15.73/10.97 inference(tautology,[status(thm)],[])).
% 15.73/10.97 tff(22180,plain,
% 15.73/10.97 (v111(constB153) | v112(constB153)),
% 15.73/10.97 inference(unit_resolution,[status(thm)],[22179, 22178])).
% 15.73/10.97 tff(22181,plain,
% 15.73/10.97 ((~(v108(constB153) <=> (v111(constB153) | v112(constB153)))) | v108(constB153) | (~(v111(constB153) | v112(constB153)))),
% 15.73/10.97 inference(tautology,[status(thm)],[])).
% 15.73/10.97 tff(22182,plain,
% 15.73/10.97 (v108(constB153)),
% 15.73/10.97 inference(unit_resolution,[status(thm)],[22181, 22180, 21402])).
% 15.73/10.98 tff(22183,plain,
% 15.73/10.98 ((~(v110(constB154) <=> v108(constB153))) | v110(constB154) | (~v108(constB153))),
% 15.73/10.98 inference(tautology,[status(thm)],[])).
% 15.73/10.98 tff(22184,plain,
% 15.73/10.98 (v110(constB154)),
% 15.73/10.98 inference(unit_resolution,[status(thm)],[22183, 22182, 21400])).
% 15.73/10.98 tff(22185,plain,
% 15.73/10.98 ((~((~v101(constB154)) | (~v110(constB154)))) | (~v101(constB154)) | (~v110(constB154))),
% 15.73/10.98 inference(tautology,[status(thm)],[])).
% 15.73/10.98 tff(22186,plain,
% 15.73/10.98 (~((~v101(constB154)) | (~v110(constB154)))),
% 15.73/10.98 inference(unit_resolution,[status(thm)],[22185, 22184, 21396])).
% 15.73/10.98 tff(22187,plain,
% 15.73/10.98 ((~(v100(constB154) <=> (~((~v101(constB154)) | (~v110(constB154)))))) | v100(constB154) | ((~v101(constB154)) | (~v110(constB154)))),
% 15.73/10.98 inference(tautology,[status(thm)],[])).
% 15.73/10.98 tff(22188,plain,
% 15.73/10.98 (v100(constB154)),
% 15.73/10.98 inference(unit_resolution,[status(thm)],[22187, 22186, 21365])).
% 15.73/10.98 tff(22189,plain,
% 15.73/10.98 (((~![VarNext: $i] : ((~v100(VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v129(VarNext, B))))) | ((~v100(constB154)) | ![B: $i] : ((~less_3(B)) | (v90(constB154, B) <=> v129(constB154, B))))) <=> ((~![VarNext: $i] : ((~v100(VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v129(VarNext, B))))) | (~v100(constB154)) | ![B: $i] : ((~less_3(B)) | (v90(constB154, B) <=> v129(constB154, B))))),
% 15.73/10.98 inference(rewrite,[status(thm)],[])).
% 15.73/10.98 tff(22190,plain,
% 15.73/10.98 ((~![VarNext: $i] : ((~v100(VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v129(VarNext, B))))) | ((~v100(constB154)) | ![B: $i] : ((~less_3(B)) | (v90(constB154, B) <=> v129(constB154, B))))),
% 15.73/10.98 inference(quant_inst,[status(thm)],[])).
% 15.73/10.98 tff(22191,plain,
% 15.73/10.98 ((~![VarNext: $i] : ((~v100(VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v129(VarNext, B))))) | (~v100(constB154)) | ![B: $i] : ((~less_3(B)) | (v90(constB154, B) <=> v129(constB154, B)))),
% 15.73/10.98 inference(modus_ponens,[status(thm)],[22190, 22189])).
% 15.73/10.98 tff(22192,plain,
% 15.73/10.98 ((~v100(constB154)) | ![B: $i] : ((~less_3(B)) | (v90(constB154, B) <=> v129(constB154, B)))),
% 15.73/10.98 inference(unit_resolution,[status(thm)],[22191, 5134])).
% 15.73/10.98 tff(22193,plain,
% 15.73/10.98 (![B: $i] : ((~less_3(B)) | (v90(constB154, B) <=> v129(constB154, B)))),
% 15.73/10.98 inference(unit_resolution,[status(thm)],[22192, 22188])).
% 15.73/10.98 tff(22194,plain,
% 15.73/10.98 (((~![B: $i] : ((~less_3(B)) | (v90(constB154, B) <=> v129(constB154, B)))) | ((~less_3(bitIndex2)) | (v90(constB154, bitIndex2) <=> v129(constB154, bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v90(constB154, B) <=> v129(constB154, B)))) | (~less_3(bitIndex2)) | (v90(constB154, bitIndex2) <=> v129(constB154, bitIndex2)))),
% 15.73/10.98 inference(rewrite,[status(thm)],[])).
% 15.73/10.98 tff(22195,plain,
% 15.73/10.98 ((~![B: $i] : ((~less_3(B)) | (v90(constB154, B) <=> v129(constB154, B)))) | ((~less_3(bitIndex2)) | (v90(constB154, bitIndex2) <=> v129(constB154, bitIndex2)))),
% 15.73/10.98 inference(quant_inst,[status(thm)],[])).
% 15.73/10.98 tff(22196,plain,
% 15.73/10.98 ((~![B: $i] : ((~less_3(B)) | (v90(constB154, B) <=> v129(constB154, B)))) | (~less_3(bitIndex2)) | (v90(constB154, bitIndex2) <=> v129(constB154, bitIndex2))),
% 15.73/10.98 inference(modus_ponens,[status(thm)],[22195, 22194])).
% 15.73/10.98 tff(22197,plain,
% 15.73/10.98 (v90(constB154, bitIndex2) <=> v129(constB154, bitIndex2)),
% 15.73/10.98 inference(unit_resolution,[status(thm)],[22196, 413, 22193])).
% 15.73/10.98 tff(22198,plain,
% 15.73/10.98 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v129(VarNext, B) <=> v127(VarCurr, B))))) | ((~nextState(constB153, constB154)) | ![B: $i] : ((~less_3(B)) | (v129(constB154, B) <=> v127(constB153, B))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v129(VarNext, B) <=> v127(VarCurr, B))))) | (~nextState(constB153, constB154)) | ![B: $i] : ((~less_3(B)) | (v129(constB154, B) <=> v127(constB153, B))))),
% 15.73/10.98 inference(rewrite,[status(thm)],[])).
% 15.73/10.98 tff(22199,plain,
% 15.73/10.98 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v129(VarNext, B) <=> v127(VarCurr, B))))) | ((~nextState(constB153, constB154)) | ![B: $i] : ((~less_3(B)) | (v129(constB154, B) <=> v127(constB153, B))))),
% 15.73/10.98 inference(quant_inst,[status(thm)],[])).
% 15.73/10.98 tff(22200,plain,
% 15.73/10.98 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v129(VarNext, B) <=> v127(VarCurr, B))))) | (~nextState(constB153, constB154)) | ![B: $i] : ((~less_3(B)) | (v129(constB154, B) <=> v127(constB153, B)))),
% 15.73/10.98 inference(modus_ponens,[status(thm)],[22199, 22198])).
% 15.73/10.98 tff(22201,plain,
% 15.73/10.98 (![B: $i] : ((~less_3(B)) | (v129(constB154, B) <=> v127(constB153, B)))),
% 15.73/10.98 inference(unit_resolution,[status(thm)],[22200, 21361, 5156])).
% 15.73/10.98 tff(22202,plain,
% 15.73/10.98 (((~![B: $i] : ((~less_3(B)) | (v129(constB154, B) <=> v127(constB153, B)))) | ((~less_3(bitIndex2)) | (v129(constB154, bitIndex2) <=> v127(constB153, bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v129(constB154, B) <=> v127(constB153, B)))) | (~less_3(bitIndex2)) | (v129(constB154, bitIndex2) <=> v127(constB153, bitIndex2)))),
% 15.73/10.98 inference(rewrite,[status(thm)],[])).
% 15.73/10.98 tff(22203,plain,
% 15.73/10.98 ((~![B: $i] : ((~less_3(B)) | (v129(constB154, B) <=> v127(constB153, B)))) | ((~less_3(bitIndex2)) | (v129(constB154, bitIndex2) <=> v127(constB153, bitIndex2)))),
% 15.73/10.98 inference(quant_inst,[status(thm)],[])).
% 15.73/10.98 tff(22204,plain,
% 15.73/10.98 ((~![B: $i] : ((~less_3(B)) | (v129(constB154, B) <=> v127(constB153, B)))) | (~less_3(bitIndex2)) | (v129(constB154, bitIndex2) <=> v127(constB153, bitIndex2))),
% 15.73/10.98 inference(modus_ponens,[status(thm)],[22203, 22202])).
% 15.73/10.98 tff(22205,plain,
% 15.73/10.98 (v129(constB154, bitIndex2) <=> v127(constB153, bitIndex2)),
% 15.73/10.98 inference(unit_resolution,[status(thm)],[22204, 413, 22201])).
% 15.73/10.98 tff(22206,plain,
% 15.73/10.98 (((~![VarCurr: $i] : (v111(VarCurr) | ![B: $i] : ((~less_3(B)) | (v127(VarCurr, B) <=> v130(VarCurr, B))))) | (v111(constB153) | ![B: $i] : ((~less_3(B)) | (v127(constB153, B) <=> v130(constB153, B))))) <=> ((~![VarCurr: $i] : (v111(VarCurr) | ![B: $i] : ((~less_3(B)) | (v127(VarCurr, B) <=> v130(VarCurr, B))))) | v111(constB153) | ![B: $i] : ((~less_3(B)) | (v127(constB153, B) <=> v130(constB153, B))))),
% 15.73/10.98 inference(rewrite,[status(thm)],[])).
% 15.73/10.98 tff(22207,plain,
% 15.73/10.98 ((~![VarCurr: $i] : (v111(VarCurr) | ![B: $i] : ((~less_3(B)) | (v127(VarCurr, B) <=> v130(VarCurr, B))))) | (v111(constB153) | ![B: $i] : ((~less_3(B)) | (v127(constB153, B) <=> v130(constB153, B))))),
% 15.73/10.98 inference(quant_inst,[status(thm)],[])).
% 15.73/10.98 tff(22208,plain,
% 15.73/10.98 ((~![VarCurr: $i] : (v111(VarCurr) | ![B: $i] : ((~less_3(B)) | (v127(VarCurr, B) <=> v130(VarCurr, B))))) | v111(constB153) | ![B: $i] : ((~less_3(B)) | (v127(constB153, B) <=> v130(constB153, B)))),
% 15.73/10.98 inference(modus_ponens,[status(thm)],[22207, 22206])).
% 15.73/10.98 tff(22209,plain,
% 15.73/10.98 (![B: $i] : ((~less_3(B)) | (v127(constB153, B) <=> v130(constB153, B)))),
% 15.73/10.98 inference(unit_resolution,[status(thm)],[22208, 5177, 22170])).
% 15.73/10.98 tff(22210,plain,
% 15.73/10.98 (((~![B: $i] : ((~less_3(B)) | (v127(constB153, B) <=> v130(constB153, B)))) | ((~less_3(bitIndex2)) | (v127(constB153, bitIndex2) <=> v130(constB153, bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v127(constB153, B) <=> v130(constB153, B)))) | (~less_3(bitIndex2)) | (v127(constB153, bitIndex2) <=> v130(constB153, bitIndex2)))),
% 15.73/10.98 inference(rewrite,[status(thm)],[])).
% 15.73/10.98 tff(22211,plain,
% 15.73/10.98 ((~![B: $i] : ((~less_3(B)) | (v127(constB153, B) <=> v130(constB153, B)))) | ((~less_3(bitIndex2)) | (v127(constB153, bitIndex2) <=> v130(constB153, bitIndex2)))),
% 15.73/10.98 inference(quant_inst,[status(thm)],[])).
% 15.73/10.98 tff(22212,plain,
% 15.73/10.98 ((~![B: $i] : ((~less_3(B)) | (v127(constB153, B) <=> v130(constB153, B)))) | (~less_3(bitIndex2)) | (v127(constB153, bitIndex2) <=> v130(constB153, bitIndex2))),
% 15.73/10.98 inference(modus_ponens,[status(thm)],[22211, 22210])).
% 15.73/10.98 tff(22213,plain,
% 15.73/10.98 (v127(constB153, bitIndex2) <=> v130(constB153, bitIndex2)),
% 15.73/10.98 inference(unit_resolution,[status(thm)],[22212, 413, 22209])).
% 15.73/10.98 tff(22214,plain,
% 15.73/10.98 (((~![VarCurr: $i] : ((~v123(VarCurr)) | ![B: $i] : ((~less_3(B)) | (v130(VarCurr, B) <=> b110(B))))) | ((~v123(constB153)) | ![B: $i] : ((~less_3(B)) | (v130(constB153, B) <=> b110(B))))) <=> ((~![VarCurr: $i] : ((~v123(VarCurr)) | ![B: $i] : ((~less_3(B)) | (v130(VarCurr, B) <=> b110(B))))) | (~v123(constB153)) | ![B: $i] : ((~less_3(B)) | (v130(constB153, B) <=> b110(B))))),
% 15.73/10.98 inference(rewrite,[status(thm)],[])).
% 15.73/10.98 tff(22215,plain,
% 15.73/10.98 ((~![VarCurr: $i] : ((~v123(VarCurr)) | ![B: $i] : ((~less_3(B)) | (v130(VarCurr, B) <=> b110(B))))) | ((~v123(constB153)) | ![B: $i] : ((~less_3(B)) | (v130(constB153, B) <=> b110(B))))),
% 15.73/10.98 inference(quant_inst,[status(thm)],[])).
% 15.73/10.98 tff(22216,plain,
% 15.73/10.98 ((~![VarCurr: $i] : ((~v123(VarCurr)) | ![B: $i] : ((~less_3(B)) | (v130(VarCurr, B) <=> b110(B))))) | (~v123(constB153)) | ![B: $i] : ((~less_3(B)) | (v130(constB153, B) <=> b110(B)))),
% 15.73/10.98 inference(modus_ponens,[status(thm)],[22215, 22214])).
% 15.73/10.98 tff(22217,plain,
% 15.73/10.98 ((~v123(constB153)) | ![B: $i] : ((~less_3(B)) | (v130(constB153, B) <=> b110(B)))),
% 15.73/10.98 inference(unit_resolution,[status(thm)],[22216, 5369])).
% 15.73/10.98 tff(22218,plain,
% 15.73/10.98 (![B: $i] : ((~less_3(B)) | (v130(constB153, B) <=> b110(B)))),
% 15.73/10.98 inference(unit_resolution,[status(thm)],[22217, 22149])).
% 15.73/10.98 tff(22219,plain,
% 15.73/10.98 (((~![B: $i] : ((~less_3(B)) | (v130(constB153, B) <=> b110(B)))) | ((~less_3(bitIndex2)) | (v130(constB153, bitIndex2) <=> b110(bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v130(constB153, B) <=> b110(B)))) | (~less_3(bitIndex2)) | (v130(constB153, bitIndex2) <=> b110(bitIndex2)))),
% 15.73/10.98 inference(rewrite,[status(thm)],[])).
% 15.73/10.98 tff(22220,plain,
% 15.73/10.98 ((~![B: $i] : ((~less_3(B)) | (v130(constB153, B) <=> b110(B)))) | ((~less_3(bitIndex2)) | (v130(constB153, bitIndex2) <=> b110(bitIndex2)))),
% 15.73/10.98 inference(quant_inst,[status(thm)],[])).
% 15.73/10.98 tff(22221,plain,
% 15.73/10.98 ((~![B: $i] : ((~less_3(B)) | (v130(constB153, B) <=> b110(B)))) | (~less_3(bitIndex2)) | (v130(constB153, bitIndex2) <=> b110(bitIndex2))),
% 15.73/10.98 inference(modus_ponens,[status(thm)],[22220, 22219])).
% 15.73/10.98 tff(22222,plain,
% 15.73/10.98 (v130(constB153, bitIndex2) <=> b110(bitIndex2)),
% 15.73/10.98 inference(unit_resolution,[status(thm)],[22221, 413, 22218])).
% 15.73/10.98 tff(22223,plain,
% 15.73/10.98 ((~(v130(constB153, bitIndex2) <=> b110(bitIndex2))) | v130(constB153, bitIndex2) | (~b110(bitIndex2))),
% 15.73/10.98 inference(tautology,[status(thm)],[])).
% 15.73/10.98 tff(22224,plain,
% 15.73/10.98 ((~(v130(constB153, bitIndex2) <=> b110(bitIndex2))) | v130(constB153, bitIndex2)),
% 15.73/10.98 inference(unit_resolution,[status(thm)],[22223, 5381])).
% 15.73/10.98 tff(22225,plain,
% 15.73/10.98 (v130(constB153, bitIndex2)),
% 15.73/10.98 inference(unit_resolution,[status(thm)],[22224, 22222])).
% 15.73/10.98 tff(22226,plain,
% 15.73/10.98 ((~(v127(constB153, bitIndex2) <=> v130(constB153, bitIndex2))) | v127(constB153, bitIndex2) | (~v130(constB153, bitIndex2))),
% 15.73/10.98 inference(tautology,[status(thm)],[])).
% 15.73/10.98 tff(22227,plain,
% 15.73/10.98 (v127(constB153, bitIndex2)),
% 15.73/10.98 inference(unit_resolution,[status(thm)],[22226, 22225, 22213])).
% 15.73/10.98 tff(22228,plain,
% 15.73/10.98 ((~(v129(constB154, bitIndex2) <=> v127(constB153, bitIndex2))) | v129(constB154, bitIndex2) | (~v127(constB153, bitIndex2))),
% 15.73/10.98 inference(tautology,[status(thm)],[])).
% 15.73/10.98 tff(22229,plain,
% 15.73/10.98 (v129(constB154, bitIndex2)),
% 15.73/10.98 inference(unit_resolution,[status(thm)],[22228, 22227, 22205])).
% 15.73/10.98 tff(22230,plain,
% 15.73/10.98 ((~(v90(constB154, bitIndex2) <=> v129(constB154, bitIndex2))) | v90(constB154, bitIndex2) | (~v129(constB154, bitIndex2))),
% 15.73/10.98 inference(tautology,[status(thm)],[])).
% 15.73/10.98 tff(22231,plain,
% 15.73/10.98 (v90(constB154, bitIndex2)),
% 15.73/10.98 inference(unit_resolution,[status(thm)],[22230, 22229, 22197])).
% 15.73/10.98 tff(22232,plain,
% 15.73/10.98 ((~(v90(constB155, bitIndex2) <=> v90(constB154, bitIndex2))) | v90(constB155, bitIndex2) | (~v90(constB154, bitIndex2))),
% 15.73/10.98 inference(tautology,[status(thm)],[])).
% 15.73/10.98 tff(22233,plain,
% 15.73/10.98 (v90(constB155, bitIndex2)),
% 15.73/10.98 inference(unit_resolution,[status(thm)],[22232, 22231, 21358])).
% 15.73/10.98 tff(22234,plain,
% 15.73/10.98 (((~![B: $i] : ((~less_3(B)) | (v90(constB155, B) <=> v90(constB154, B)))) | ((~less_3(bitIndex0)) | (v90(constB155, bitIndex0) <=> v90(constB154, bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v90(constB155, B) <=> v90(constB154, B)))) | (~less_3(bitIndex0)) | (v90(constB155, bitIndex0) <=> v90(constB154, bitIndex0)))),
% 15.73/10.98 inference(rewrite,[status(thm)],[])).
% 15.73/10.98 tff(22235,plain,
% 15.73/10.98 ((~![B: $i] : ((~less_3(B)) | (v90(constB155, B) <=> v90(constB154, B)))) | ((~less_3(bitIndex0)) | (v90(constB155, bitIndex0) <=> v90(constB154, bitIndex0)))),
% 15.73/10.98 inference(quant_inst,[status(thm)],[])).
% 15.73/10.98 tff(22236,plain,
% 15.73/10.98 ((~![B: $i] : ((~less_3(B)) | (v90(constB155, B) <=> v90(constB154, B)))) | (~less_3(bitIndex0)) | (v90(constB155, bitIndex0) <=> v90(constB154, bitIndex0))),
% 15.73/10.98 inference(modus_ponens,[status(thm)],[22235, 22234])).
% 15.73/10.98 tff(22237,plain,
% 15.73/10.98 (v90(constB155, bitIndex0) <=> v90(constB154, bitIndex0)),
% 15.73/10.98 inference(unit_resolution,[status(thm)],[22236, 5004, 21354])).
% 15.73/10.98 tff(22238,plain,
% 15.73/10.98 (((~![B: $i] : ((~less_3(B)) | (v90(constB154, B) <=> v129(constB154, B)))) | ((~less_3(bitIndex0)) | (v90(constB154, bitIndex0) <=> v129(constB154, bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v90(constB154, B) <=> v129(constB154, B)))) | (~less_3(bitIndex0)) | (v90(constB154, bitIndex0) <=> v129(constB154, bitIndex0)))),
% 15.73/10.98 inference(rewrite,[status(thm)],[])).
% 15.73/10.98 tff(22239,plain,
% 15.73/10.98 ((~![B: $i] : ((~less_3(B)) | (v90(constB154, B) <=> v129(constB154, B)))) | ((~less_3(bitIndex0)) | (v90(constB154, bitIndex0) <=> v129(constB154, bitIndex0)))),
% 15.73/10.98 inference(quant_inst,[status(thm)],[])).
% 15.73/10.98 tff(22240,plain,
% 15.73/10.98 ((~![B: $i] : ((~less_3(B)) | (v90(constB154, B) <=> v129(constB154, B)))) | (~less_3(bitIndex0)) | (v90(constB154, bitIndex0) <=> v129(constB154, bitIndex0))),
% 15.73/10.98 inference(modus_ponens,[status(thm)],[22239, 22238])).
% 15.73/10.98 tff(22241,plain,
% 15.73/10.98 (v90(constB154, bitIndex0) <=> v129(constB154, bitIndex0)),
% 15.73/10.98 inference(unit_resolution,[status(thm)],[22240, 5004, 22193])).
% 15.73/10.98 tff(22242,plain,
% 15.73/10.98 (((~![B: $i] : ((~less_3(B)) | (v129(constB154, B) <=> v127(constB153, B)))) | ((~less_3(bitIndex0)) | (v129(constB154, bitIndex0) <=> v127(constB153, bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v129(constB154, B) <=> v127(constB153, B)))) | (~less_3(bitIndex0)) | (v129(constB154, bitIndex0) <=> v127(constB153, bitIndex0)))),
% 15.73/10.98 inference(rewrite,[status(thm)],[])).
% 15.73/10.98 tff(22243,plain,
% 15.73/10.98 ((~![B: $i] : ((~less_3(B)) | (v129(constB154, B) <=> v127(constB153, B)))) | ((~less_3(bitIndex0)) | (v129(constB154, bitIndex0) <=> v127(constB153, bitIndex0)))),
% 15.73/10.98 inference(quant_inst,[status(thm)],[])).
% 15.73/10.98 tff(22244,plain,
% 15.73/10.98 ((~![B: $i] : ((~less_3(B)) | (v129(constB154, B) <=> v127(constB153, B)))) | (~less_3(bitIndex0)) | (v129(constB154, bitIndex0) <=> v127(constB153, bitIndex0))),
% 15.73/10.98 inference(modus_ponens,[status(thm)],[22243, 22242])).
% 15.73/10.98 tff(22245,plain,
% 15.73/10.98 (v129(constB154, bitIndex0) <=> v127(constB153, bitIndex0)),
% 15.73/10.98 inference(unit_resolution,[status(thm)],[22244, 5004, 22201])).
% 15.73/10.98 tff(22246,plain,
% 15.73/10.98 (((~![B: $i] : ((~less_3(B)) | (v127(constB153, B) <=> v130(constB153, B)))) | ((~less_3(bitIndex0)) | (v127(constB153, bitIndex0) <=> v130(constB153, bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v127(constB153, B) <=> v130(constB153, B)))) | (~less_3(bitIndex0)) | (v127(constB153, bitIndex0) <=> v130(constB153, bitIndex0)))),
% 15.73/10.98 inference(rewrite,[status(thm)],[])).
% 15.73/10.98 tff(22247,plain,
% 15.73/10.98 ((~![B: $i] : ((~less_3(B)) | (v127(constB153, B) <=> v130(constB153, B)))) | ((~less_3(bitIndex0)) | (v127(constB153, bitIndex0) <=> v130(constB153, bitIndex0)))),
% 15.73/10.98 inference(quant_inst,[status(thm)],[])).
% 15.73/10.98 tff(22248,plain,
% 15.73/10.98 ((~![B: $i] : ((~less_3(B)) | (v127(constB153, B) <=> v130(constB153, B)))) | (~less_3(bitIndex0)) | (v127(constB153, bitIndex0) <=> v130(constB153, bitIndex0))),
% 15.73/10.98 inference(modus_ponens,[status(thm)],[22247, 22246])).
% 15.73/10.98 tff(22249,plain,
% 15.73/10.98 (v127(constB153, bitIndex0) <=> v130(constB153, bitIndex0)),
% 15.73/10.98 inference(unit_resolution,[status(thm)],[22248, 5004, 22209])).
% 15.73/10.98 tff(22250,plain,
% 15.73/10.98 (((~![B: $i] : ((~less_3(B)) | (v130(constB153, B) <=> b110(B)))) | ((~less_3(bitIndex0)) | (v130(constB153, bitIndex0) <=> b110(bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v130(constB153, B) <=> b110(B)))) | (~less_3(bitIndex0)) | (v130(constB153, bitIndex0) <=> b110(bitIndex0)))),
% 15.73/10.98 inference(rewrite,[status(thm)],[])).
% 15.73/10.98 tff(22251,plain,
% 15.73/10.98 ((~![B: $i] : ((~less_3(B)) | (v130(constB153, B) <=> b110(B)))) | ((~less_3(bitIndex0)) | (v130(constB153, bitIndex0) <=> b110(bitIndex0)))),
% 15.73/10.98 inference(quant_inst,[status(thm)],[])).
% 15.73/10.98 tff(22252,plain,
% 15.73/10.98 ((~![B: $i] : ((~less_3(B)) | (v130(constB153, B) <=> b110(B)))) | (~less_3(bitIndex0)) | (v130(constB153, bitIndex0) <=> b110(bitIndex0))),
% 15.73/10.99 inference(modus_ponens,[status(thm)],[22251, 22250])).
% 15.73/10.99 tff(22253,plain,
% 15.73/10.99 (v130(constB153, bitIndex0) <=> b110(bitIndex0)),
% 15.73/10.99 inference(unit_resolution,[status(thm)],[22252, 5004, 22218])).
% 15.73/10.99 tff(22254,plain,
% 15.73/10.99 ((~(v130(constB153, bitIndex0) <=> b110(bitIndex0))) | (~v130(constB153, bitIndex0)) | b110(bitIndex0)),
% 15.73/10.99 inference(tautology,[status(thm)],[])).
% 15.73/10.99 tff(22255,plain,
% 15.73/10.99 ((~(v130(constB153, bitIndex0) <=> b110(bitIndex0))) | (~v130(constB153, bitIndex0))),
% 15.73/10.99 inference(unit_resolution,[status(thm)],[22254, 5415])).
% 15.73/10.99 tff(22256,plain,
% 15.73/10.99 (~v130(constB153, bitIndex0)),
% 15.73/10.99 inference(unit_resolution,[status(thm)],[22255, 22253])).
% 15.73/10.99 tff(22257,plain,
% 15.73/10.99 ((~(v127(constB153, bitIndex0) <=> v130(constB153, bitIndex0))) | (~v127(constB153, bitIndex0)) | v130(constB153, bitIndex0)),
% 15.73/10.99 inference(tautology,[status(thm)],[])).
% 15.73/10.99 tff(22258,plain,
% 15.73/10.99 (~v127(constB153, bitIndex0)),
% 15.73/10.99 inference(unit_resolution,[status(thm)],[22257, 22256, 22249])).
% 15.73/10.99 tff(22259,plain,
% 15.73/10.99 ((~(v129(constB154, bitIndex0) <=> v127(constB153, bitIndex0))) | (~v129(constB154, bitIndex0)) | v127(constB153, bitIndex0)),
% 15.73/10.99 inference(tautology,[status(thm)],[])).
% 15.73/10.99 tff(22260,plain,
% 15.73/10.99 (~v129(constB154, bitIndex0)),
% 15.73/10.99 inference(unit_resolution,[status(thm)],[22259, 22258, 22245])).
% 15.73/10.99 tff(22261,plain,
% 15.73/10.99 ((~(v90(constB154, bitIndex0) <=> v129(constB154, bitIndex0))) | (~v90(constB154, bitIndex0)) | v129(constB154, bitIndex0)),
% 15.73/10.99 inference(tautology,[status(thm)],[])).
% 15.73/10.99 tff(22262,plain,
% 15.73/10.99 (~v90(constB154, bitIndex0)),
% 15.73/10.99 inference(unit_resolution,[status(thm)],[22261, 22260, 22241])).
% 15.73/10.99 tff(22263,plain,
% 15.73/10.99 ((~(v90(constB155, bitIndex0) <=> v90(constB154, bitIndex0))) | (~v90(constB155, bitIndex0)) | v90(constB154, bitIndex0)),
% 15.73/10.99 inference(tautology,[status(thm)],[])).
% 15.73/10.99 tff(22264,plain,
% 15.73/10.99 (~v90(constB155, bitIndex0)),
% 15.73/10.99 inference(unit_resolution,[status(thm)],[22263, 22262, 22237])).
% 15.73/10.99 tff(22265,plain,
% 15.73/10.99 (((~![B: $i] : ((~less_3(B)) | (v90(constB155, B) <=> v90(constB154, B)))) | ((~less_3(bitIndex1)) | (v90(constB155, bitIndex1) <=> v90(constB154, bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v90(constB155, B) <=> v90(constB154, B)))) | (~less_3(bitIndex1)) | (v90(constB155, bitIndex1) <=> v90(constB154, bitIndex1)))),
% 15.73/10.99 inference(rewrite,[status(thm)],[])).
% 15.73/10.99 tff(22266,plain,
% 15.73/10.99 ((~![B: $i] : ((~less_3(B)) | (v90(constB155, B) <=> v90(constB154, B)))) | ((~less_3(bitIndex1)) | (v90(constB155, bitIndex1) <=> v90(constB154, bitIndex1)))),
% 15.73/10.99 inference(quant_inst,[status(thm)],[])).
% 15.73/10.99 tff(22267,plain,
% 15.73/10.99 ((~![B: $i] : ((~less_3(B)) | (v90(constB155, B) <=> v90(constB154, B)))) | (~less_3(bitIndex1)) | (v90(constB155, bitIndex1) <=> v90(constB154, bitIndex1))),
% 15.73/10.99 inference(modus_ponens,[status(thm)],[22266, 22265])).
% 15.73/10.99 tff(22268,plain,
% 15.73/10.99 (v90(constB155, bitIndex1) <=> v90(constB154, bitIndex1)),
% 15.73/10.99 inference(unit_resolution,[status(thm)],[22267, 5017, 21354])).
% 15.73/10.99 tff(22269,plain,
% 15.73/10.99 (((~![B: $i] : ((~less_3(B)) | (v90(constB154, B) <=> v129(constB154, B)))) | ((~less_3(bitIndex1)) | (v90(constB154, bitIndex1) <=> v129(constB154, bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v90(constB154, B) <=> v129(constB154, B)))) | (~less_3(bitIndex1)) | (v90(constB154, bitIndex1) <=> v129(constB154, bitIndex1)))),
% 15.73/10.99 inference(rewrite,[status(thm)],[])).
% 15.73/10.99 tff(22270,plain,
% 15.73/10.99 ((~![B: $i] : ((~less_3(B)) | (v90(constB154, B) <=> v129(constB154, B)))) | ((~less_3(bitIndex1)) | (v90(constB154, bitIndex1) <=> v129(constB154, bitIndex1)))),
% 15.73/10.99 inference(quant_inst,[status(thm)],[])).
% 15.73/10.99 tff(22271,plain,
% 15.73/10.99 ((~![B: $i] : ((~less_3(B)) | (v90(constB154, B) <=> v129(constB154, B)))) | (~less_3(bitIndex1)) | (v90(constB154, bitIndex1) <=> v129(constB154, bitIndex1))),
% 15.73/10.99 inference(modus_ponens,[status(thm)],[22270, 22269])).
% 15.73/10.99 tff(22272,plain,
% 15.73/10.99 (v90(constB154, bitIndex1) <=> v129(constB154, bitIndex1)),
% 15.73/10.99 inference(unit_resolution,[status(thm)],[22271, 5017, 22193])).
% 15.73/10.99 tff(22273,plain,
% 15.73/10.99 (((~![B: $i] : ((~less_3(B)) | (v129(constB154, B) <=> v127(constB153, B)))) | ((~less_3(bitIndex1)) | (v129(constB154, bitIndex1) <=> v127(constB153, bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v129(constB154, B) <=> v127(constB153, B)))) | (~less_3(bitIndex1)) | (v129(constB154, bitIndex1) <=> v127(constB153, bitIndex1)))),
% 15.73/10.99 inference(rewrite,[status(thm)],[])).
% 15.73/10.99 tff(22274,plain,
% 15.73/10.99 ((~![B: $i] : ((~less_3(B)) | (v129(constB154, B) <=> v127(constB153, B)))) | ((~less_3(bitIndex1)) | (v129(constB154, bitIndex1) <=> v127(constB153, bitIndex1)))),
% 15.73/10.99 inference(quant_inst,[status(thm)],[])).
% 15.73/10.99 tff(22275,plain,
% 15.73/10.99 ((~![B: $i] : ((~less_3(B)) | (v129(constB154, B) <=> v127(constB153, B)))) | (~less_3(bitIndex1)) | (v129(constB154, bitIndex1) <=> v127(constB153, bitIndex1))),
% 15.73/10.99 inference(modus_ponens,[status(thm)],[22274, 22273])).
% 15.73/10.99 tff(22276,plain,
% 15.73/10.99 (v129(constB154, bitIndex1) <=> v127(constB153, bitIndex1)),
% 15.73/10.99 inference(unit_resolution,[status(thm)],[22275, 5017, 22201])).
% 15.73/10.99 tff(22277,plain,
% 15.73/10.99 (((~![B: $i] : ((~less_3(B)) | (v127(constB153, B) <=> v130(constB153, B)))) | ((~less_3(bitIndex1)) | (v127(constB153, bitIndex1) <=> v130(constB153, bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v127(constB153, B) <=> v130(constB153, B)))) | (~less_3(bitIndex1)) | (v127(constB153, bitIndex1) <=> v130(constB153, bitIndex1)))),
% 15.73/10.99 inference(rewrite,[status(thm)],[])).
% 15.73/10.99 tff(22278,plain,
% 15.73/10.99 ((~![B: $i] : ((~less_3(B)) | (v127(constB153, B) <=> v130(constB153, B)))) | ((~less_3(bitIndex1)) | (v127(constB153, bitIndex1) <=> v130(constB153, bitIndex1)))),
% 15.73/10.99 inference(quant_inst,[status(thm)],[])).
% 15.73/10.99 tff(22279,plain,
% 15.73/10.99 ((~![B: $i] : ((~less_3(B)) | (v127(constB153, B) <=> v130(constB153, B)))) | (~less_3(bitIndex1)) | (v127(constB153, bitIndex1) <=> v130(constB153, bitIndex1))),
% 15.73/10.99 inference(modus_ponens,[status(thm)],[22278, 22277])).
% 15.73/10.99 tff(22280,plain,
% 15.73/10.99 (v127(constB153, bitIndex1) <=> v130(constB153, bitIndex1)),
% 15.73/10.99 inference(unit_resolution,[status(thm)],[22279, 5017, 22209])).
% 15.73/10.99 tff(22281,plain,
% 15.73/10.99 (((~![B: $i] : ((~less_3(B)) | (v130(constB153, B) <=> b110(B)))) | ((~less_3(bitIndex1)) | (v130(constB153, bitIndex1) <=> b110(bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v130(constB153, B) <=> b110(B)))) | (~less_3(bitIndex1)) | (v130(constB153, bitIndex1) <=> b110(bitIndex1)))),
% 15.73/10.99 inference(rewrite,[status(thm)],[])).
% 15.73/10.99 tff(22282,plain,
% 15.73/10.99 ((~![B: $i] : ((~less_3(B)) | (v130(constB153, B) <=> b110(B)))) | ((~less_3(bitIndex1)) | (v130(constB153, bitIndex1) <=> b110(bitIndex1)))),
% 15.73/10.99 inference(quant_inst,[status(thm)],[])).
% 15.73/10.99 tff(22283,plain,
% 15.73/10.99 ((~![B: $i] : ((~less_3(B)) | (v130(constB153, B) <=> b110(B)))) | (~less_3(bitIndex1)) | (v130(constB153, bitIndex1) <=> b110(bitIndex1))),
% 15.73/10.99 inference(modus_ponens,[status(thm)],[22282, 22281])).
% 15.73/10.99 tff(22284,plain,
% 15.73/10.99 (v130(constB153, bitIndex1) <=> b110(bitIndex1)),
% 15.73/10.99 inference(unit_resolution,[status(thm)],[22283, 5017, 22218])).
% 15.73/10.99 tff(22285,plain,
% 15.73/10.99 ((~(v130(constB153, bitIndex1) <=> b110(bitIndex1))) | v130(constB153, bitIndex1) | (~b110(bitIndex1))),
% 15.73/10.99 inference(tautology,[status(thm)],[])).
% 15.73/10.99 tff(22286,plain,
% 15.73/10.99 ((~(v130(constB153, bitIndex1) <=> b110(bitIndex1))) | v130(constB153, bitIndex1)),
% 15.73/10.99 inference(unit_resolution,[status(thm)],[22285, 5449])).
% 15.73/10.99 tff(22287,plain,
% 15.73/10.99 (v130(constB153, bitIndex1)),
% 15.73/10.99 inference(unit_resolution,[status(thm)],[22286, 22284])).
% 15.73/10.99 tff(22288,plain,
% 15.73/10.99 ((~(v127(constB153, bitIndex1) <=> v130(constB153, bitIndex1))) | v127(constB153, bitIndex1) | (~v130(constB153, bitIndex1))),
% 15.73/10.99 inference(tautology,[status(thm)],[])).
% 15.73/10.99 tff(22289,plain,
% 15.73/10.99 (v127(constB153, bitIndex1)),
% 15.73/10.99 inference(unit_resolution,[status(thm)],[22288, 22287, 22280])).
% 15.73/10.99 tff(22290,plain,
% 15.73/10.99 ((~(v129(constB154, bitIndex1) <=> v127(constB153, bitIndex1))) | v129(constB154, bitIndex1) | (~v127(constB153, bitIndex1))),
% 15.73/10.99 inference(tautology,[status(thm)],[])).
% 15.73/10.99 tff(22291,plain,
% 15.73/10.99 (v129(constB154, bitIndex1)),
% 15.73/10.99 inference(unit_resolution,[status(thm)],[22290, 22289, 22276])).
% 15.73/10.99 tff(22292,plain,
% 15.73/10.99 ((~(v90(constB154, bitIndex1) <=> v129(constB154, bitIndex1))) | v90(constB154, bitIndex1) | (~v129(constB154, bitIndex1))),
% 15.73/10.99 inference(tautology,[status(thm)],[])).
% 15.73/10.99 tff(22293,plain,
% 15.73/10.99 (v90(constB154, bitIndex1)),
% 15.73/10.99 inference(unit_resolution,[status(thm)],[22292, 22291, 22272])).
% 15.73/10.99 tff(22294,plain,
% 15.73/10.99 ((~(v90(constB155, bitIndex1) <=> v90(constB154, bitIndex1))) | v90(constB155, bitIndex1) | (~v90(constB154, bitIndex1))),
% 15.73/10.99 inference(tautology,[status(thm)],[])).
% 15.73/10.99 tff(22295,plain,
% 15.73/10.99 (v90(constB155, bitIndex1)),
% 15.73/10.99 inference(unit_resolution,[status(thm)],[22294, 22293, 22268])).
% 15.73/10.99 tff(22296,plain,
% 15.73/10.99 ((~((~v90(constB155, bitIndex2)) | (~v90(constB155, bitIndex1)) | v90(constB155, bitIndex0))) | (~v90(constB155, bitIndex2)) | (~v90(constB155, bitIndex1)) | v90(constB155, bitIndex0)),
% 15.73/10.99 inference(tautology,[status(thm)],[])).
% 15.73/10.99 tff(22297,plain,
% 15.73/10.99 (~((~v90(constB155, bitIndex2)) | (~v90(constB155, bitIndex1)) | v90(constB155, bitIndex0))),
% 15.73/10.99 inference(unit_resolution,[status(thm)],[22296, 22295, 22264, 22233])).
% 15.73/10.99 tff(22298,plain,
% 15.73/10.99 ((~(v125(constB155) <=> (~((~v90(constB155, bitIndex2)) | (~v90(constB155, bitIndex1)) | v90(constB155, bitIndex0))))) | v125(constB155) | ((~v90(constB155, bitIndex2)) | (~v90(constB155, bitIndex1)) | v90(constB155, bitIndex0))),
% 15.73/10.99 inference(tautology,[status(thm)],[])).
% 15.73/10.99 tff(22299,plain,
% 15.73/10.99 (v125(constB155)),
% 15.73/10.99 inference(unit_resolution,[status(thm)],[22298, 22297, 21326])).
% 15.73/10.99 tff(22300,plain,
% 15.73/10.99 ((v114(constB155) | v125(constB155)) | (~v125(constB155))),
% 15.73/10.99 inference(tautology,[status(thm)],[])).
% 15.73/10.99 tff(22301,plain,
% 15.73/10.99 (v114(constB155) | v125(constB155)),
% 15.73/10.99 inference(unit_resolution,[status(thm)],[22300, 22299])).
% 15.73/10.99 tff(22302,plain,
% 15.73/10.99 ((~(v113(constB155) <=> (v114(constB155) | v125(constB155)))) | v113(constB155) | (~(v114(constB155) | v125(constB155)))),
% 15.73/10.99 inference(tautology,[status(thm)],[])).
% 15.73/10.99 tff(22303,plain,
% 15.73/10.99 (v113(constB155)),
% 15.73/10.99 inference(unit_resolution,[status(thm)],[22302, 22301, 21319])).
% 15.73/10.99 tff(22304,plain,
% 15.73/10.99 ((~![VarCurr: $i] : ((~v126(VarCurr)) <=> v111(VarCurr))) | ((~v126(constB155)) <=> v111(constB155))),
% 15.73/10.99 inference(quant_inst,[status(thm)],[])).
% 15.73/10.99 tff(22305,plain,
% 15.73/10.99 ((~v126(constB155)) <=> v111(constB155)),
% 15.73/10.99 inference(unit_resolution,[status(thm)],[22304, 5074])).
% 15.73/10.99 tff(22306,plain,
% 15.73/10.99 ((~![VarCurr: $i] : (v111(VarCurr) <=> v26(VarCurr))) | (v111(constB155) <=> v26(constB155))),
% 15.73/10.99 inference(quant_inst,[status(thm)],[])).
% 15.73/10.99 tff(22307,plain,
% 15.73/10.99 (v111(constB155) <=> v26(constB155)),
% 15.73/10.99 inference(unit_resolution,[status(thm)],[22306, 5086])).
% 15.73/10.99 tff(22308,plain,
% 15.73/10.99 ((~![VarCurr: $i] : (~v26(VarCurr))) | (~v26(constB155))),
% 15.73/10.99 inference(quant_inst,[status(thm)],[])).
% 15.73/10.99 tff(22309,plain,
% 15.73/10.99 (~v26(constB155)),
% 15.73/10.99 inference(unit_resolution,[status(thm)],[22308, 5098])).
% 15.73/10.99 tff(22310,plain,
% 15.73/10.99 ((~(v111(constB155) <=> v26(constB155))) | (~v111(constB155)) | v26(constB155)),
% 15.73/10.99 inference(tautology,[status(thm)],[])).
% 15.73/10.99 tff(22311,plain,
% 15.73/10.99 ((~(v111(constB155) <=> v26(constB155))) | (~v111(constB155))),
% 15.73/10.99 inference(unit_resolution,[status(thm)],[22310, 22309])).
% 15.73/10.99 tff(22312,plain,
% 15.73/10.99 (~v111(constB155)),
% 15.73/10.99 inference(unit_resolution,[status(thm)],[22311, 22307])).
% 15.73/10.99 tff(22313,plain,
% 15.73/10.99 ((~((~v126(constB155)) <=> v111(constB155))) | v126(constB155) | v111(constB155)),
% 15.73/10.99 inference(tautology,[status(thm)],[])).
% 15.73/10.99 tff(22314,plain,
% 15.73/10.99 ((~((~v126(constB155)) <=> v111(constB155))) | v126(constB155)),
% 15.73/10.99 inference(unit_resolution,[status(thm)],[22313, 22312])).
% 15.73/10.99 tff(22315,plain,
% 15.73/10.99 (v126(constB155)),
% 15.73/10.99 inference(unit_resolution,[status(thm)],[22314, 22305])).
% 15.73/10.99 tff(22316,plain,
% 15.73/10.99 ((~((~v113(constB155)) | (~v126(constB155)))) | (~v113(constB155)) | (~v126(constB155))),
% 15.73/10.99 inference(tautology,[status(thm)],[])).
% 15.73/10.99 tff(22317,plain,
% 15.73/10.99 ((~((~v113(constB155)) | (~v126(constB155)))) | (~v113(constB155))),
% 15.73/10.99 inference(unit_resolution,[status(thm)],[22316, 22315])).
% 15.73/10.99 tff(22318,plain,
% 15.73/10.99 (~((~v113(constB155)) | (~v126(constB155)))),
% 15.73/10.99 inference(unit_resolution,[status(thm)],[22317, 22303])).
% 15.73/10.99 tff(22319,plain,
% 15.73/10.99 ((~(v112(constB155) <=> (~((~v113(constB155)) | (~v126(constB155)))))) | v112(constB155) | ((~v113(constB155)) | (~v126(constB155)))),
% 15.73/10.99 inference(tautology,[status(thm)],[])).
% 15.73/10.99 tff(22320,plain,
% 15.73/10.99 (v112(constB155)),
% 15.73/10.99 inference(unit_resolution,[status(thm)],[22319, 22318, 21317])).
% 15.73/10.99 tff(22321,plain,
% 15.73/10.99 ((v111(constB155) | v112(constB155)) | (~v112(constB155))),
% 15.73/10.99 inference(tautology,[status(thm)],[])).
% 15.73/10.99 tff(22322,plain,
% 15.73/10.99 (v111(constB155) | v112(constB155)),
% 15.73/10.99 inference(unit_resolution,[status(thm)],[22321, 22320])).
% 15.73/10.99 tff(22323,plain,
% 15.73/10.99 ((~(v108(constB155) <=> (v111(constB155) | v112(constB155)))) | v108(constB155) | (~(v111(constB155) | v112(constB155)))),
% 15.73/10.99 inference(tautology,[status(thm)],[])).
% 15.73/10.99 tff(22324,plain,
% 15.73/10.99 (v108(constB155)),
% 15.73/10.99 inference(unit_resolution,[status(thm)],[22323, 22322, 21315])).
% 15.73/10.99 tff(22325,plain,
% 15.73/10.99 ((~(v110(constB156) <=> v108(constB155))) | v110(constB156) | (~v108(constB155))),
% 15.73/10.99 inference(tautology,[status(thm)],[])).
% 15.73/10.99 tff(22326,plain,
% 15.73/10.99 (v110(constB156)),
% 15.73/10.99 inference(unit_resolution,[status(thm)],[22325, 22324, 21313])).
% 15.73/10.99 tff(22327,plain,
% 15.73/10.99 ((~((~v101(constB156)) | (~v110(constB156)))) | (~v101(constB156)) | (~v110(constB156))),
% 15.73/10.99 inference(tautology,[status(thm)],[])).
% 15.73/10.99 tff(22328,plain,
% 15.73/10.99 (~((~v101(constB156)) | (~v110(constB156)))),
% 15.73/10.99 inference(unit_resolution,[status(thm)],[22327, 22326, 21309])).
% 15.73/10.99 tff(22329,plain,
% 15.73/10.99 ((~(v100(constB156) <=> (~((~v101(constB156)) | (~v110(constB156)))))) | v100(constB156) | ((~v101(constB156)) | (~v110(constB156)))),
% 15.73/10.99 inference(tautology,[status(thm)],[])).
% 15.73/10.99 tff(22330,plain,
% 15.73/10.99 (v100(constB156)),
% 15.73/10.99 inference(unit_resolution,[status(thm)],[22329, 22328, 21278])).
% 15.73/10.99 tff(22331,plain,
% 15.73/10.99 (((~![VarNext: $i] : ((~v100(VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v129(VarNext, B))))) | ((~v100(constB156)) | ![B: $i] : ((~less_3(B)) | (v90(constB156, B) <=> v129(constB156, B))))) <=> ((~![VarNext: $i] : ((~v100(VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v129(VarNext, B))))) | (~v100(constB156)) | ![B: $i] : ((~less_3(B)) | (v90(constB156, B) <=> v129(constB156, B))))),
% 15.73/10.99 inference(rewrite,[status(thm)],[])).
% 15.73/10.99 tff(22332,plain,
% 15.73/10.99 ((~![VarNext: $i] : ((~v100(VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v129(VarNext, B))))) | ((~v100(constB156)) | ![B: $i] : ((~less_3(B)) | (v90(constB156, B) <=> v129(constB156, B))))),
% 15.73/10.99 inference(quant_inst,[status(thm)],[])).
% 15.73/10.99 tff(22333,plain,
% 15.73/10.99 ((~![VarNext: $i] : ((~v100(VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v129(VarNext, B))))) | (~v100(constB156)) | ![B: $i] : ((~less_3(B)) | (v90(constB156, B) <=> v129(constB156, B)))),
% 15.73/10.99 inference(modus_ponens,[status(thm)],[22332, 22331])).
% 15.73/10.99 tff(22334,plain,
% 15.73/10.99 ((~v100(constB156)) | ![B: $i] : ((~less_3(B)) | (v90(constB156, B) <=> v129(constB156, B)))),
% 15.73/10.99 inference(unit_resolution,[status(thm)],[22333, 5134])).
% 15.73/10.99 tff(22335,plain,
% 15.73/10.99 (![B: $i] : ((~less_3(B)) | (v90(constB156, B) <=> v129(constB156, B)))),
% 15.73/10.99 inference(unit_resolution,[status(thm)],[22334, 22330])).
% 15.73/10.99 tff(22336,plain,
% 15.73/10.99 (((~![B: $i] : ((~less_3(B)) | (v90(constB156, B) <=> v129(constB156, B)))) | ((~less_3(bitIndex2)) | (v90(constB156, bitIndex2) <=> v129(constB156, bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v90(constB156, B) <=> v129(constB156, B)))) | (~less_3(bitIndex2)) | (v90(constB156, bitIndex2) <=> v129(constB156, bitIndex2)))),
% 15.73/10.99 inference(rewrite,[status(thm)],[])).
% 15.73/10.99 tff(22337,plain,
% 15.73/10.99 ((~![B: $i] : ((~less_3(B)) | (v90(constB156, B) <=> v129(constB156, B)))) | ((~less_3(bitIndex2)) | (v90(constB156, bitIndex2) <=> v129(constB156, bitIndex2)))),
% 15.73/10.99 inference(quant_inst,[status(thm)],[])).
% 15.73/10.99 tff(22338,plain,
% 15.73/10.99 ((~![B: $i] : ((~less_3(B)) | (v90(constB156, B) <=> v129(constB156, B)))) | (~less_3(bitIndex2)) | (v90(constB156, bitIndex2) <=> v129(constB156, bitIndex2))),
% 15.73/10.99 inference(modus_ponens,[status(thm)],[22337, 22336])).
% 15.73/10.99 tff(22339,plain,
% 15.73/10.99 (v90(constB156, bitIndex2) <=> v129(constB156, bitIndex2)),
% 15.73/10.99 inference(unit_resolution,[status(thm)],[22338, 413, 22335])).
% 15.73/10.99 tff(22340,plain,
% 15.73/10.99 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v129(VarNext, B) <=> v127(VarCurr, B))))) | ((~nextState(constB155, constB156)) | ![B: $i] : ((~less_3(B)) | (v129(constB156, B) <=> v127(constB155, B))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v129(VarNext, B) <=> v127(VarCurr, B))))) | (~nextState(constB155, constB156)) | ![B: $i] : ((~less_3(B)) | (v129(constB156, B) <=> v127(constB155, B))))),
% 15.80/11.00 inference(rewrite,[status(thm)],[])).
% 15.80/11.00 tff(22341,plain,
% 15.80/11.00 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v129(VarNext, B) <=> v127(VarCurr, B))))) | ((~nextState(constB155, constB156)) | ![B: $i] : ((~less_3(B)) | (v129(constB156, B) <=> v127(constB155, B))))),
% 15.80/11.00 inference(quant_inst,[status(thm)],[])).
% 15.80/11.00 tff(22342,plain,
% 15.80/11.00 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v129(VarNext, B) <=> v127(VarCurr, B))))) | (~nextState(constB155, constB156)) | ![B: $i] : ((~less_3(B)) | (v129(constB156, B) <=> v127(constB155, B)))),
% 15.80/11.00 inference(modus_ponens,[status(thm)],[22341, 22340])).
% 15.80/11.00 tff(22343,plain,
% 15.80/11.00 (![B: $i] : ((~less_3(B)) | (v129(constB156, B) <=> v127(constB155, B)))),
% 15.80/11.00 inference(unit_resolution,[status(thm)],[22342, 21274, 5156])).
% 15.80/11.00 tff(22344,plain,
% 15.80/11.00 (((~![B: $i] : ((~less_3(B)) | (v129(constB156, B) <=> v127(constB155, B)))) | ((~less_3(bitIndex2)) | (v129(constB156, bitIndex2) <=> v127(constB155, bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v129(constB156, B) <=> v127(constB155, B)))) | (~less_3(bitIndex2)) | (v129(constB156, bitIndex2) <=> v127(constB155, bitIndex2)))),
% 15.80/11.00 inference(rewrite,[status(thm)],[])).
% 15.80/11.00 tff(22345,plain,
% 15.80/11.00 ((~![B: $i] : ((~less_3(B)) | (v129(constB156, B) <=> v127(constB155, B)))) | ((~less_3(bitIndex2)) | (v129(constB156, bitIndex2) <=> v127(constB155, bitIndex2)))),
% 15.80/11.00 inference(quant_inst,[status(thm)],[])).
% 15.80/11.00 tff(22346,plain,
% 15.80/11.00 ((~![B: $i] : ((~less_3(B)) | (v129(constB156, B) <=> v127(constB155, B)))) | (~less_3(bitIndex2)) | (v129(constB156, bitIndex2) <=> v127(constB155, bitIndex2))),
% 15.80/11.00 inference(modus_ponens,[status(thm)],[22345, 22344])).
% 15.80/11.00 tff(22347,plain,
% 15.80/11.00 (v129(constB156, bitIndex2) <=> v127(constB155, bitIndex2)),
% 15.80/11.00 inference(unit_resolution,[status(thm)],[22346, 413, 22343])).
% 15.80/11.00 tff(22348,plain,
% 15.80/11.00 (((~![VarCurr: $i] : (v111(VarCurr) | ![B: $i] : ((~less_3(B)) | (v127(VarCurr, B) <=> v130(VarCurr, B))))) | (v111(constB155) | ![B: $i] : ((~less_3(B)) | (v127(constB155, B) <=> v130(constB155, B))))) <=> ((~![VarCurr: $i] : (v111(VarCurr) | ![B: $i] : ((~less_3(B)) | (v127(VarCurr, B) <=> v130(VarCurr, B))))) | v111(constB155) | ![B: $i] : ((~less_3(B)) | (v127(constB155, B) <=> v130(constB155, B))))),
% 15.80/11.00 inference(rewrite,[status(thm)],[])).
% 15.80/11.00 tff(22349,plain,
% 15.80/11.00 ((~![VarCurr: $i] : (v111(VarCurr) | ![B: $i] : ((~less_3(B)) | (v127(VarCurr, B) <=> v130(VarCurr, B))))) | (v111(constB155) | ![B: $i] : ((~less_3(B)) | (v127(constB155, B) <=> v130(constB155, B))))),
% 15.80/11.00 inference(quant_inst,[status(thm)],[])).
% 15.80/11.00 tff(22350,plain,
% 15.80/11.00 ((~![VarCurr: $i] : (v111(VarCurr) | ![B: $i] : ((~less_3(B)) | (v127(VarCurr, B) <=> v130(VarCurr, B))))) | v111(constB155) | ![B: $i] : ((~less_3(B)) | (v127(constB155, B) <=> v130(constB155, B)))),
% 15.80/11.00 inference(modus_ponens,[status(thm)],[22349, 22348])).
% 15.80/11.00 tff(22351,plain,
% 15.80/11.00 (![B: $i] : ((~less_3(B)) | (v127(constB155, B) <=> v130(constB155, B)))),
% 15.80/11.00 inference(unit_resolution,[status(thm)],[22350, 5177, 22312])).
% 15.80/11.00 tff(22352,plain,
% 15.80/11.00 (((~![B: $i] : ((~less_3(B)) | (v127(constB155, B) <=> v130(constB155, B)))) | ((~less_3(bitIndex2)) | (v127(constB155, bitIndex2) <=> v130(constB155, bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v127(constB155, B) <=> v130(constB155, B)))) | (~less_3(bitIndex2)) | (v127(constB155, bitIndex2) <=> v130(constB155, bitIndex2)))),
% 15.80/11.00 inference(rewrite,[status(thm)],[])).
% 15.80/11.00 tff(22353,plain,
% 15.80/11.00 ((~![B: $i] : ((~less_3(B)) | (v127(constB155, B) <=> v130(constB155, B)))) | ((~less_3(bitIndex2)) | (v127(constB155, bitIndex2) <=> v130(constB155, bitIndex2)))),
% 15.80/11.00 inference(quant_inst,[status(thm)],[])).
% 15.80/11.00 tff(22354,plain,
% 15.80/11.00 ((~![B: $i] : ((~less_3(B)) | (v127(constB155, B) <=> v130(constB155, B)))) | (~less_3(bitIndex2)) | (v127(constB155, bitIndex2) <=> v130(constB155, bitIndex2))),
% 15.80/11.00 inference(modus_ponens,[status(thm)],[22353, 22352])).
% 15.80/11.00 tff(22355,plain,
% 15.80/11.00 (v127(constB155, bitIndex2) <=> v130(constB155, bitIndex2)),
% 15.80/11.00 inference(unit_resolution,[status(thm)],[22354, 413, 22351])).
% 15.80/11.00 tff(22356,plain,
% 15.80/11.00 ((~![VarCurr: $i] : (v119(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))))) | (v119(constB155) <=> (~(v90(constB155, bitIndex0) | v90(constB155, bitIndex1) | v90(constB155, bitIndex2))))),
% 15.80/11.00 inference(quant_inst,[status(thm)],[])).
% 15.80/11.00 tff(22357,plain,
% 15.80/11.00 (v119(constB155) <=> (~(v90(constB155, bitIndex0) | v90(constB155, bitIndex1) | v90(constB155, bitIndex2)))),
% 15.80/11.00 inference(unit_resolution,[status(thm)],[22356, 4971])).
% 15.80/11.00 tff(22358,plain,
% 15.80/11.00 ((v90(constB155, bitIndex0) | v90(constB155, bitIndex1) | v90(constB155, bitIndex2)) | (~v90(constB155, bitIndex2))),
% 15.80/11.00 inference(tautology,[status(thm)],[])).
% 15.80/11.00 tff(22359,plain,
% 15.80/11.00 (v90(constB155, bitIndex0) | v90(constB155, bitIndex1) | v90(constB155, bitIndex2)),
% 15.80/11.00 inference(unit_resolution,[status(thm)],[22358, 22233])).
% 15.80/11.00 tff(22360,plain,
% 15.80/11.00 ((~(v119(constB155) <=> (~(v90(constB155, bitIndex0) | v90(constB155, bitIndex1) | v90(constB155, bitIndex2))))) | (~v119(constB155)) | (~(v90(constB155, bitIndex0) | v90(constB155, bitIndex1) | v90(constB155, bitIndex2)))),
% 15.80/11.00 inference(tautology,[status(thm)],[])).
% 15.80/11.00 tff(22361,plain,
% 15.80/11.00 (~v119(constB155)),
% 15.80/11.00 inference(unit_resolution,[status(thm)],[22360, 22359, 22357])).
% 15.80/11.00 tff(22362,plain,
% 15.80/11.00 (((~![VarCurr: $i] : (v124(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex2)))))) | (v124(constB155) <=> (~((~v90(constB155, bitIndex2)) | v90(constB155, bitIndex1) | (~v90(constB155, bitIndex0)))))) <=> ((~![VarCurr: $i] : (v124(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex2)))))) | (v124(constB155) <=> (~((~v90(constB155, bitIndex2)) | v90(constB155, bitIndex1) | (~v90(constB155, bitIndex0))))))),
% 15.80/11.00 inference(rewrite,[status(thm)],[])).
% 15.80/11.00 tff(22363,plain,
% 15.80/11.00 ((v124(constB155) <=> (~(v90(constB155, bitIndex1) | (~v90(constB155, bitIndex0)) | (~v90(constB155, bitIndex2))))) <=> (v124(constB155) <=> (~((~v90(constB155, bitIndex2)) | v90(constB155, bitIndex1) | (~v90(constB155, bitIndex0)))))),
% 15.80/11.00 inference(rewrite,[status(thm)],[])).
% 15.80/11.00 tff(22364,plain,
% 15.80/11.00 (((~![VarCurr: $i] : (v124(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex2)))))) | (v124(constB155) <=> (~(v90(constB155, bitIndex1) | (~v90(constB155, bitIndex0)) | (~v90(constB155, bitIndex2)))))) <=> ((~![VarCurr: $i] : (v124(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex2)))))) | (v124(constB155) <=> (~((~v90(constB155, bitIndex2)) | v90(constB155, bitIndex1) | (~v90(constB155, bitIndex0))))))),
% 15.80/11.00 inference(monotonicity,[status(thm)],[22363])).
% 15.80/11.00 tff(22365,plain,
% 15.80/11.00 (((~![VarCurr: $i] : (v124(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex2)))))) | (v124(constB155) <=> (~(v90(constB155, bitIndex1) | (~v90(constB155, bitIndex0)) | (~v90(constB155, bitIndex2)))))) <=> ((~![VarCurr: $i] : (v124(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex2)))))) | (v124(constB155) <=> (~((~v90(constB155, bitIndex2)) | v90(constB155, bitIndex1) | (~v90(constB155, bitIndex0))))))),
% 15.80/11.00 inference(transitivity,[status(thm)],[22364, 22362])).
% 15.80/11.00 tff(22366,plain,
% 15.80/11.00 ((~![VarCurr: $i] : (v124(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex2)))))) | (v124(constB155) <=> (~(v90(constB155, bitIndex1) | (~v90(constB155, bitIndex0)) | (~v90(constB155, bitIndex2)))))),
% 15.80/11.00 inference(quant_inst,[status(thm)],[])).
% 15.80/11.00 tff(22367,plain,
% 15.80/11.00 ((~![VarCurr: $i] : (v124(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex2)))))) | (v124(constB155) <=> (~((~v90(constB155, bitIndex2)) | v90(constB155, bitIndex1) | (~v90(constB155, bitIndex0)))))),
% 15.80/11.00 inference(modus_ponens,[status(thm)],[22366, 22365])).
% 15.80/11.00 tff(22368,plain,
% 15.80/11.00 (v124(constB155) <=> (~((~v90(constB155, bitIndex2)) | v90(constB155, bitIndex1) | (~v90(constB155, bitIndex0))))),
% 15.80/11.00 inference(unit_resolution,[status(thm)],[22367, 5539])).
% 15.80/11.00 tff(22369,plain,
% 15.80/11.00 (((~v90(constB155, bitIndex2)) | v90(constB155, bitIndex1) | (~v90(constB155, bitIndex0))) | (~v90(constB155, bitIndex1))),
% 15.80/11.00 inference(tautology,[status(thm)],[])).
% 15.80/11.00 tff(22370,plain,
% 15.80/11.00 ((~v90(constB155, bitIndex2)) | v90(constB155, bitIndex1) | (~v90(constB155, bitIndex0))),
% 15.80/11.00 inference(unit_resolution,[status(thm)],[22369, 22295])).
% 15.80/11.00 tff(22371,plain,
% 15.80/11.00 ((~(v124(constB155) <=> (~((~v90(constB155, bitIndex2)) | v90(constB155, bitIndex1) | (~v90(constB155, bitIndex0)))))) | (~v124(constB155)) | (~((~v90(constB155, bitIndex2)) | v90(constB155, bitIndex1) | (~v90(constB155, bitIndex0))))),
% 15.80/11.00 inference(tautology,[status(thm)],[])).
% 15.80/11.00 tff(22372,plain,
% 15.80/11.00 (~v124(constB155)),
% 15.80/11.00 inference(unit_resolution,[status(thm)],[22371, 22370, 22368])).
% 15.80/11.00 tff(22373,plain,
% 15.80/11.00 (((~![VarCurr: $i] : (v123(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)))))) | (v123(constB155) <=> (~((~v90(constB155, bitIndex2)) | v90(constB155, bitIndex1) | v90(constB155, bitIndex0))))) <=> ((~![VarCurr: $i] : (v123(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)))))) | (v123(constB155) <=> (~((~v90(constB155, bitIndex2)) | v90(constB155, bitIndex1) | v90(constB155, bitIndex0)))))),
% 15.80/11.00 inference(rewrite,[status(thm)],[])).
% 15.80/11.00 tff(22374,plain,
% 15.80/11.00 ((v123(constB155) <=> (~(v90(constB155, bitIndex0) | v90(constB155, bitIndex1) | (~v90(constB155, bitIndex2))))) <=> (v123(constB155) <=> (~((~v90(constB155, bitIndex2)) | v90(constB155, bitIndex1) | v90(constB155, bitIndex0))))),
% 15.80/11.00 inference(rewrite,[status(thm)],[])).
% 15.80/11.00 tff(22375,plain,
% 15.80/11.00 (((~![VarCurr: $i] : (v123(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)))))) | (v123(constB155) <=> (~(v90(constB155, bitIndex0) | v90(constB155, bitIndex1) | (~v90(constB155, bitIndex2)))))) <=> ((~![VarCurr: $i] : (v123(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)))))) | (v123(constB155) <=> (~((~v90(constB155, bitIndex2)) | v90(constB155, bitIndex1) | v90(constB155, bitIndex0)))))),
% 15.80/11.00 inference(monotonicity,[status(thm)],[22374])).
% 15.80/11.00 tff(22376,plain,
% 15.80/11.00 (((~![VarCurr: $i] : (v123(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)))))) | (v123(constB155) <=> (~(v90(constB155, bitIndex0) | v90(constB155, bitIndex1) | (~v90(constB155, bitIndex2)))))) <=> ((~![VarCurr: $i] : (v123(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)))))) | (v123(constB155) <=> (~((~v90(constB155, bitIndex2)) | v90(constB155, bitIndex1) | v90(constB155, bitIndex0)))))),
% 15.80/11.00 inference(transitivity,[status(thm)],[22375, 22373])).
% 15.80/11.00 tff(22377,plain,
% 15.80/11.00 ((~![VarCurr: $i] : (v123(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)))))) | (v123(constB155) <=> (~(v90(constB155, bitIndex0) | v90(constB155, bitIndex1) | (~v90(constB155, bitIndex2)))))),
% 15.80/11.00 inference(quant_inst,[status(thm)],[])).
% 15.80/11.00 tff(22378,plain,
% 15.80/11.00 ((~![VarCurr: $i] : (v123(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)))))) | (v123(constB155) <=> (~((~v90(constB155, bitIndex2)) | v90(constB155, bitIndex1) | v90(constB155, bitIndex0))))),
% 15.80/11.00 inference(modus_ponens,[status(thm)],[22377, 22376])).
% 15.80/11.00 tff(22379,plain,
% 15.80/11.00 (v123(constB155) <=> (~((~v90(constB155, bitIndex2)) | v90(constB155, bitIndex1) | v90(constB155, bitIndex0)))),
% 15.80/11.00 inference(unit_resolution,[status(thm)],[22378, 621])).
% 15.80/11.00 tff(22380,plain,
% 15.80/11.00 (((~v90(constB155, bitIndex2)) | v90(constB155, bitIndex1) | v90(constB155, bitIndex0)) | (~v90(constB155, bitIndex1))),
% 15.80/11.00 inference(tautology,[status(thm)],[])).
% 15.80/11.00 tff(22381,plain,
% 15.80/11.01 ((~v90(constB155, bitIndex2)) | v90(constB155, bitIndex1) | v90(constB155, bitIndex0)),
% 15.80/11.01 inference(unit_resolution,[status(thm)],[22380, 22295])).
% 15.80/11.01 tff(22382,plain,
% 15.80/11.01 ((~(v123(constB155) <=> (~((~v90(constB155, bitIndex2)) | v90(constB155, bitIndex1) | v90(constB155, bitIndex0))))) | (~v123(constB155)) | (~((~v90(constB155, bitIndex2)) | v90(constB155, bitIndex1) | v90(constB155, bitIndex0)))),
% 15.80/11.01 inference(tautology,[status(thm)],[])).
% 15.80/11.01 tff(22383,plain,
% 15.80/11.01 (~v123(constB155)),
% 15.80/11.01 inference(unit_resolution,[status(thm)],[22382, 22381, 22379])).
% 15.80/11.01 tff(22384,plain,
% 15.80/11.01 (((~![VarCurr: $i] : (v122(VarCurr) <=> (~(v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)))))) | (v122(constB155) <=> (~(v90(constB155, bitIndex2) | (~v90(constB155, bitIndex1)) | (~v90(constB155, bitIndex0)))))) <=> ((~![VarCurr: $i] : (v122(VarCurr) <=> (~(v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)))))) | (v122(constB155) <=> (~(v90(constB155, bitIndex2) | (~v90(constB155, bitIndex1)) | (~v90(constB155, bitIndex0))))))),
% 15.80/11.01 inference(rewrite,[status(thm)],[])).
% 15.80/11.01 tff(22385,plain,
% 15.80/11.01 ((v122(constB155) <=> (~(v90(constB155, bitIndex2) | (~v90(constB155, bitIndex0)) | (~v90(constB155, bitIndex1))))) <=> (v122(constB155) <=> (~(v90(constB155, bitIndex2) | (~v90(constB155, bitIndex1)) | (~v90(constB155, bitIndex0)))))),
% 15.80/11.01 inference(rewrite,[status(thm)],[])).
% 15.80/11.01 tff(22386,plain,
% 15.80/11.01 (((~![VarCurr: $i] : (v122(VarCurr) <=> (~(v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)))))) | (v122(constB155) <=> (~(v90(constB155, bitIndex2) | (~v90(constB155, bitIndex0)) | (~v90(constB155, bitIndex1)))))) <=> ((~![VarCurr: $i] : (v122(VarCurr) <=> (~(v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)))))) | (v122(constB155) <=> (~(v90(constB155, bitIndex2) | (~v90(constB155, bitIndex1)) | (~v90(constB155, bitIndex0))))))),
% 15.80/11.01 inference(monotonicity,[status(thm)],[22385])).
% 15.80/11.01 tff(22387,plain,
% 15.80/11.01 (((~![VarCurr: $i] : (v122(VarCurr) <=> (~(v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)))))) | (v122(constB155) <=> (~(v90(constB155, bitIndex2) | (~v90(constB155, bitIndex0)) | (~v90(constB155, bitIndex1)))))) <=> ((~![VarCurr: $i] : (v122(VarCurr) <=> (~(v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)))))) | (v122(constB155) <=> (~(v90(constB155, bitIndex2) | (~v90(constB155, bitIndex1)) | (~v90(constB155, bitIndex0))))))),
% 15.80/11.01 inference(transitivity,[status(thm)],[22386, 22384])).
% 15.80/11.01 tff(22388,plain,
% 15.80/11.01 ((~![VarCurr: $i] : (v122(VarCurr) <=> (~(v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)))))) | (v122(constB155) <=> (~(v90(constB155, bitIndex2) | (~v90(constB155, bitIndex0)) | (~v90(constB155, bitIndex1)))))),
% 15.80/11.01 inference(quant_inst,[status(thm)],[])).
% 15.80/11.01 tff(22389,plain,
% 15.80/11.01 ((~![VarCurr: $i] : (v122(VarCurr) <=> (~(v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)))))) | (v122(constB155) <=> (~(v90(constB155, bitIndex2) | (~v90(constB155, bitIndex1)) | (~v90(constB155, bitIndex0)))))),
% 15.80/11.01 inference(modus_ponens,[status(thm)],[22388, 22387])).
% 15.80/11.01 tff(22390,plain,
% 15.80/11.01 (v122(constB155) <=> (~(v90(constB155, bitIndex2) | (~v90(constB155, bitIndex1)) | (~v90(constB155, bitIndex0))))),
% 15.80/11.01 inference(unit_resolution,[status(thm)],[22389, 734])).
% 15.80/11.01 tff(22391,plain,
% 15.80/11.01 ((v90(constB155, bitIndex2) | (~v90(constB155, bitIndex1)) | (~v90(constB155, bitIndex0))) | (~v90(constB155, bitIndex2))),
% 15.80/11.01 inference(tautology,[status(thm)],[])).
% 15.80/11.01 tff(22392,plain,
% 15.80/11.01 (v90(constB155, bitIndex2) | (~v90(constB155, bitIndex1)) | (~v90(constB155, bitIndex0))),
% 15.80/11.01 inference(unit_resolution,[status(thm)],[22391, 22233])).
% 15.80/11.01 tff(22393,plain,
% 15.80/11.01 ((~(v122(constB155) <=> (~(v90(constB155, bitIndex2) | (~v90(constB155, bitIndex1)) | (~v90(constB155, bitIndex0)))))) | (~v122(constB155)) | (~(v90(constB155, bitIndex2) | (~v90(constB155, bitIndex1)) | (~v90(constB155, bitIndex0))))),
% 15.80/11.01 inference(tautology,[status(thm)],[])).
% 15.80/11.01 tff(22394,plain,
% 15.80/11.01 (~v122(constB155)),
% 15.80/11.01 inference(unit_resolution,[status(thm)],[22393, 22392, 22390])).
% 15.80/11.01 tff(22395,plain,
% 15.80/11.01 (((~![VarCurr: $i] : (v121(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex1)))))) | (v121(constB155) <=> (~(v90(constB155, bitIndex2) | (~v90(constB155, bitIndex1)) | v90(constB155, bitIndex0))))) <=> ((~![VarCurr: $i] : (v121(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex1)))))) | (v121(constB155) <=> (~(v90(constB155, bitIndex2) | (~v90(constB155, bitIndex1)) | v90(constB155, bitIndex0)))))),
% 15.80/11.01 inference(rewrite,[status(thm)],[])).
% 15.80/11.01 tff(22396,plain,
% 15.80/11.01 ((v121(constB155) <=> (~(v90(constB155, bitIndex0) | v90(constB155, bitIndex2) | (~v90(constB155, bitIndex1))))) <=> (v121(constB155) <=> (~(v90(constB155, bitIndex2) | (~v90(constB155, bitIndex1)) | v90(constB155, bitIndex0))))),
% 15.80/11.01 inference(rewrite,[status(thm)],[])).
% 15.80/11.01 tff(22397,plain,
% 15.80/11.01 (((~![VarCurr: $i] : (v121(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex1)))))) | (v121(constB155) <=> (~(v90(constB155, bitIndex0) | v90(constB155, bitIndex2) | (~v90(constB155, bitIndex1)))))) <=> ((~![VarCurr: $i] : (v121(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex1)))))) | (v121(constB155) <=> (~(v90(constB155, bitIndex2) | (~v90(constB155, bitIndex1)) | v90(constB155, bitIndex0)))))),
% 15.80/11.01 inference(monotonicity,[status(thm)],[22396])).
% 15.80/11.01 tff(22398,plain,
% 15.80/11.01 (((~![VarCurr: $i] : (v121(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex1)))))) | (v121(constB155) <=> (~(v90(constB155, bitIndex0) | v90(constB155, bitIndex2) | (~v90(constB155, bitIndex1)))))) <=> ((~![VarCurr: $i] : (v121(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex1)))))) | (v121(constB155) <=> (~(v90(constB155, bitIndex2) | (~v90(constB155, bitIndex1)) | v90(constB155, bitIndex0)))))),
% 15.80/11.01 inference(transitivity,[status(thm)],[22397, 22395])).
% 15.80/11.01 tff(22399,plain,
% 15.80/11.01 ((~![VarCurr: $i] : (v121(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex1)))))) | (v121(constB155) <=> (~(v90(constB155, bitIndex0) | v90(constB155, bitIndex2) | (~v90(constB155, bitIndex1)))))),
% 15.80/11.01 inference(quant_inst,[status(thm)],[])).
% 15.80/11.01 tff(22400,plain,
% 15.80/11.01 ((~![VarCurr: $i] : (v121(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex1)))))) | (v121(constB155) <=> (~(v90(constB155, bitIndex2) | (~v90(constB155, bitIndex1)) | v90(constB155, bitIndex0))))),
% 15.80/11.01 inference(modus_ponens,[status(thm)],[22399, 22398])).
% 15.80/11.01 tff(22401,plain,
% 15.80/11.01 (v121(constB155) <=> (~(v90(constB155, bitIndex2) | (~v90(constB155, bitIndex1)) | v90(constB155, bitIndex0)))),
% 15.80/11.01 inference(unit_resolution,[status(thm)],[22400, 849])).
% 15.80/11.01 tff(22402,plain,
% 15.80/11.01 ((v90(constB155, bitIndex2) | (~v90(constB155, bitIndex1)) | v90(constB155, bitIndex0)) | (~v90(constB155, bitIndex2))),
% 15.80/11.01 inference(tautology,[status(thm)],[])).
% 15.80/11.01 tff(22403,plain,
% 15.80/11.01 (v90(constB155, bitIndex2) | (~v90(constB155, bitIndex1)) | v90(constB155, bitIndex0)),
% 15.80/11.01 inference(unit_resolution,[status(thm)],[22402, 22233])).
% 15.80/11.01 tff(22404,plain,
% 15.80/11.01 ((~(v121(constB155) <=> (~(v90(constB155, bitIndex2) | (~v90(constB155, bitIndex1)) | v90(constB155, bitIndex0))))) | (~v121(constB155)) | (~(v90(constB155, bitIndex2) | (~v90(constB155, bitIndex1)) | v90(constB155, bitIndex0)))),
% 15.80/11.01 inference(tautology,[status(thm)],[])).
% 15.80/11.01 tff(22405,plain,
% 15.80/11.01 (~v121(constB155)),
% 15.80/11.01 inference(unit_resolution,[status(thm)],[22404, 22403, 22401])).
% 15.80/11.01 tff(22406,plain,
% 15.80/11.01 (((~![VarCurr: $i] : (v120(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)))))) | (v120(constB155) <=> (~(v90(constB155, bitIndex2) | v90(constB155, bitIndex1) | (~v90(constB155, bitIndex0)))))) <=> ((~![VarCurr: $i] : (v120(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)))))) | (v120(constB155) <=> (~(v90(constB155, bitIndex2) | v90(constB155, bitIndex1) | (~v90(constB155, bitIndex0))))))),
% 15.80/11.01 inference(rewrite,[status(thm)],[])).
% 15.80/11.01 tff(22407,plain,
% 15.80/11.01 ((v120(constB155) <=> (~(v90(constB155, bitIndex1) | v90(constB155, bitIndex2) | (~v90(constB155, bitIndex0))))) <=> (v120(constB155) <=> (~(v90(constB155, bitIndex2) | v90(constB155, bitIndex1) | (~v90(constB155, bitIndex0)))))),
% 15.80/11.01 inference(rewrite,[status(thm)],[])).
% 15.80/11.01 tff(22408,plain,
% 15.80/11.01 (((~![VarCurr: $i] : (v120(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)))))) | (v120(constB155) <=> (~(v90(constB155, bitIndex1) | v90(constB155, bitIndex2) | (~v90(constB155, bitIndex0)))))) <=> ((~![VarCurr: $i] : (v120(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)))))) | (v120(constB155) <=> (~(v90(constB155, bitIndex2) | v90(constB155, bitIndex1) | (~v90(constB155, bitIndex0))))))),
% 15.80/11.01 inference(monotonicity,[status(thm)],[22407])).
% 15.80/11.01 tff(22409,plain,
% 15.80/11.01 (((~![VarCurr: $i] : (v120(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)))))) | (v120(constB155) <=> (~(v90(constB155, bitIndex1) | v90(constB155, bitIndex2) | (~v90(constB155, bitIndex0)))))) <=> ((~![VarCurr: $i] : (v120(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)))))) | (v120(constB155) <=> (~(v90(constB155, bitIndex2) | v90(constB155, bitIndex1) | (~v90(constB155, bitIndex0))))))),
% 15.80/11.01 inference(transitivity,[status(thm)],[22408, 22406])).
% 15.80/11.01 tff(22410,plain,
% 15.80/11.01 ((~![VarCurr: $i] : (v120(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)))))) | (v120(constB155) <=> (~(v90(constB155, bitIndex1) | v90(constB155, bitIndex2) | (~v90(constB155, bitIndex0)))))),
% 15.80/11.01 inference(quant_inst,[status(thm)],[])).
% 15.80/11.01 tff(22411,plain,
% 15.80/11.01 ((~![VarCurr: $i] : (v120(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)))))) | (v120(constB155) <=> (~(v90(constB155, bitIndex2) | v90(constB155, bitIndex1) | (~v90(constB155, bitIndex0)))))),
% 15.80/11.01 inference(modus_ponens,[status(thm)],[22410, 22409])).
% 15.80/11.01 tff(22412,plain,
% 15.80/11.01 (v120(constB155) <=> (~(v90(constB155, bitIndex2) | v90(constB155, bitIndex1) | (~v90(constB155, bitIndex0))))),
% 15.80/11.01 inference(unit_resolution,[status(thm)],[22411, 966])).
% 15.80/11.01 tff(22413,plain,
% 15.80/11.01 ((v90(constB155, bitIndex2) | v90(constB155, bitIndex1) | (~v90(constB155, bitIndex0))) | (~v90(constB155, bitIndex2))),
% 15.80/11.01 inference(tautology,[status(thm)],[])).
% 15.80/11.01 tff(22414,plain,
% 15.80/11.01 (v90(constB155, bitIndex2) | v90(constB155, bitIndex1) | (~v90(constB155, bitIndex0))),
% 15.80/11.01 inference(unit_resolution,[status(thm)],[22413, 22233])).
% 15.80/11.01 tff(22415,plain,
% 15.80/11.01 ((~(v120(constB155) <=> (~(v90(constB155, bitIndex2) | v90(constB155, bitIndex1) | (~v90(constB155, bitIndex0)))))) | (~v120(constB155)) | (~(v90(constB155, bitIndex2) | v90(constB155, bitIndex1) | (~v90(constB155, bitIndex0))))),
% 15.80/11.01 inference(tautology,[status(thm)],[])).
% 15.80/11.01 tff(22416,plain,
% 15.80/11.01 (~v120(constB155)),
% 15.80/11.01 inference(unit_resolution,[status(thm)],[22415, 22414, 22412])).
% 15.80/11.01 tff(22417,plain,
% 15.80/11.01 (((~![VarCurr: $i] : (v124(VarCurr) | v123(VarCurr) | v122(VarCurr) | v121(VarCurr) | v120(VarCurr) | v119(VarCurr) | ![B: $i] : ((~less_3(B)) | (v130(VarCurr, B) <=> b001(B))))) | (v119(constB155) | v120(constB155) | v121(constB155) | v122(constB155) | v123(constB155) | v124(constB155) | ![B: $i] : ((~less_3(B)) | (v130(constB155, B) <=> b001(B))))) <=> ((~![VarCurr: $i] : (v124(VarCurr) | v123(VarCurr) | v122(VarCurr) | v121(VarCurr) | v120(VarCurr) | v119(VarCurr) | ![B: $i] : ((~less_3(B)) | (v130(VarCurr, B) <=> b001(B))))) | v119(constB155) | v120(constB155) | v121(constB155) | v122(constB155) | v123(constB155) | v124(constB155) | ![B: $i] : ((~less_3(B)) | (v130(constB155, B) <=> b001(B))))),
% 15.80/11.01 inference(rewrite,[status(thm)],[])).
% 15.80/11.01 tff(22418,plain,
% 15.80/11.01 ((v124(constB155) | v123(constB155) | v122(constB155) | v121(constB155) | v120(constB155) | v119(constB155) | ![B: $i] : ((~less_3(B)) | (v130(constB155, B) <=> b001(B)))) <=> (v119(constB155) | v120(constB155) | v121(constB155) | v122(constB155) | v123(constB155) | v124(constB155) | ![B: $i] : ((~less_3(B)) | (v130(constB155, B) <=> b001(B))))),
% 15.80/11.02 inference(rewrite,[status(thm)],[])).
% 15.80/11.02 tff(22419,plain,
% 15.80/11.02 (((~![VarCurr: $i] : (v124(VarCurr) | v123(VarCurr) | v122(VarCurr) | v121(VarCurr) | v120(VarCurr) | v119(VarCurr) | ![B: $i] : ((~less_3(B)) | (v130(VarCurr, B) <=> b001(B))))) | (v124(constB155) | v123(constB155) | v122(constB155) | v121(constB155) | v120(constB155) | v119(constB155) | ![B: $i] : ((~less_3(B)) | (v130(constB155, B) <=> b001(B))))) <=> ((~![VarCurr: $i] : (v124(VarCurr) | v123(VarCurr) | v122(VarCurr) | v121(VarCurr) | v120(VarCurr) | v119(VarCurr) | ![B: $i] : ((~less_3(B)) | (v130(VarCurr, B) <=> b001(B))))) | (v119(constB155) | v120(constB155) | v121(constB155) | v122(constB155) | v123(constB155) | v124(constB155) | ![B: $i] : ((~less_3(B)) | (v130(constB155, B) <=> b001(B)))))),
% 15.80/11.02 inference(monotonicity,[status(thm)],[22418])).
% 15.80/11.02 tff(22420,plain,
% 15.80/11.02 (((~![VarCurr: $i] : (v124(VarCurr) | v123(VarCurr) | v122(VarCurr) | v121(VarCurr) | v120(VarCurr) | v119(VarCurr) | ![B: $i] : ((~less_3(B)) | (v130(VarCurr, B) <=> b001(B))))) | (v124(constB155) | v123(constB155) | v122(constB155) | v121(constB155) | v120(constB155) | v119(constB155) | ![B: $i] : ((~less_3(B)) | (v130(constB155, B) <=> b001(B))))) <=> ((~![VarCurr: $i] : (v124(VarCurr) | v123(VarCurr) | v122(VarCurr) | v121(VarCurr) | v120(VarCurr) | v119(VarCurr) | ![B: $i] : ((~less_3(B)) | (v130(VarCurr, B) <=> b001(B))))) | v119(constB155) | v120(constB155) | v121(constB155) | v122(constB155) | v123(constB155) | v124(constB155) | ![B: $i] : ((~less_3(B)) | (v130(constB155, B) <=> b001(B))))),
% 15.80/11.02 inference(transitivity,[status(thm)],[22419, 22417])).
% 15.80/11.02 tff(22421,plain,
% 15.80/11.02 ((~![VarCurr: $i] : (v124(VarCurr) | v123(VarCurr) | v122(VarCurr) | v121(VarCurr) | v120(VarCurr) | v119(VarCurr) | ![B: $i] : ((~less_3(B)) | (v130(VarCurr, B) <=> b001(B))))) | (v124(constB155) | v123(constB155) | v122(constB155) | v121(constB155) | v120(constB155) | v119(constB155) | ![B: $i] : ((~less_3(B)) | (v130(constB155, B) <=> b001(B))))),
% 15.80/11.02 inference(quant_inst,[status(thm)],[])).
% 15.80/11.02 tff(22422,plain,
% 15.80/11.02 ((~![VarCurr: $i] : (v124(VarCurr) | v123(VarCurr) | v122(VarCurr) | v121(VarCurr) | v120(VarCurr) | v119(VarCurr) | ![B: $i] : ((~less_3(B)) | (v130(VarCurr, B) <=> b001(B))))) | v119(constB155) | v120(constB155) | v121(constB155) | v122(constB155) | v123(constB155) | v124(constB155) | ![B: $i] : ((~less_3(B)) | (v130(constB155, B) <=> b001(B)))),
% 15.80/11.02 inference(modus_ponens,[status(thm)],[22421, 22420])).
% 15.80/11.02 tff(22423,plain,
% 15.80/11.02 (v119(constB155) | v120(constB155) | v121(constB155) | v122(constB155) | v123(constB155) | v124(constB155) | ![B: $i] : ((~less_3(B)) | (v130(constB155, B) <=> b001(B)))),
% 15.80/11.02 inference(unit_resolution,[status(thm)],[22422, 5610])).
% 15.80/11.02 tff(22424,plain,
% 15.80/11.02 (![B: $i] : ((~less_3(B)) | (v130(constB155, B) <=> b001(B)))),
% 15.80/11.02 inference(unit_resolution,[status(thm)],[22423, 22416, 22405, 22394, 22383, 22372, 22361])).
% 15.80/11.02 tff(22425,plain,
% 15.80/11.02 (((~![B: $i] : ((~less_3(B)) | (v130(constB155, B) <=> b001(B)))) | ((~less_3(bitIndex2)) | (v130(constB155, bitIndex2) <=> b001(bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v130(constB155, B) <=> b001(B)))) | (~less_3(bitIndex2)) | (v130(constB155, bitIndex2) <=> b001(bitIndex2)))),
% 15.80/11.02 inference(rewrite,[status(thm)],[])).
% 15.80/11.02 tff(22426,plain,
% 15.80/11.02 ((~![B: $i] : ((~less_3(B)) | (v130(constB155, B) <=> b001(B)))) | ((~less_3(bitIndex2)) | (v130(constB155, bitIndex2) <=> b001(bitIndex2)))),
% 15.80/11.02 inference(quant_inst,[status(thm)],[])).
% 15.80/11.02 tff(22427,plain,
% 15.80/11.02 ((~![B: $i] : ((~less_3(B)) | (v130(constB155, B) <=> b001(B)))) | (~less_3(bitIndex2)) | (v130(constB155, bitIndex2) <=> b001(bitIndex2))),
% 15.80/11.02 inference(modus_ponens,[status(thm)],[22426, 22425])).
% 15.80/11.02 tff(22428,plain,
% 15.80/11.02 (v130(constB155, bitIndex2) <=> b001(bitIndex2)),
% 15.80/11.02 inference(unit_resolution,[status(thm)],[22427, 413, 22424])).
% 15.80/11.02 tff(22429,plain,
% 15.80/11.02 ((~(v130(constB155, bitIndex2) <=> b001(bitIndex2))) | (~v130(constB155, bitIndex2)) | b001(bitIndex2)),
% 15.80/11.02 inference(tautology,[status(thm)],[])).
% 15.80/11.02 tff(22430,plain,
% 15.80/11.02 ((~(v130(constB155, bitIndex2) <=> b001(bitIndex2))) | (~v130(constB155, bitIndex2))),
% 15.80/11.02 inference(unit_resolution,[status(thm)],[22429, 5625])).
% 15.80/11.02 tff(22431,plain,
% 15.80/11.02 (~v130(constB155, bitIndex2)),
% 15.80/11.02 inference(unit_resolution,[status(thm)],[22430, 22428])).
% 15.80/11.02 tff(22432,plain,
% 15.80/11.02 ((~(v127(constB155, bitIndex2) <=> v130(constB155, bitIndex2))) | (~v127(constB155, bitIndex2)) | v130(constB155, bitIndex2)),
% 15.80/11.02 inference(tautology,[status(thm)],[])).
% 15.80/11.02 tff(22433,plain,
% 15.80/11.02 (~v127(constB155, bitIndex2)),
% 15.80/11.02 inference(unit_resolution,[status(thm)],[22432, 22431, 22355])).
% 15.80/11.02 tff(22434,plain,
% 15.80/11.02 ((~(v129(constB156, bitIndex2) <=> v127(constB155, bitIndex2))) | (~v129(constB156, bitIndex2)) | v127(constB155, bitIndex2)),
% 15.80/11.02 inference(tautology,[status(thm)],[])).
% 15.80/11.02 tff(22435,plain,
% 15.80/11.02 (~v129(constB156, bitIndex2)),
% 15.80/11.02 inference(unit_resolution,[status(thm)],[22434, 22433, 22347])).
% 15.80/11.02 tff(22436,plain,
% 15.80/11.02 ((~(v90(constB156, bitIndex2) <=> v129(constB156, bitIndex2))) | (~v90(constB156, bitIndex2)) | v129(constB156, bitIndex2)),
% 15.80/11.02 inference(tautology,[status(thm)],[])).
% 15.80/11.02 tff(22437,plain,
% 15.80/11.02 (~v90(constB156, bitIndex2)),
% 15.80/11.02 inference(unit_resolution,[status(thm)],[22436, 22435, 22339])).
% 15.80/11.02 tff(22438,plain,
% 15.80/11.02 ((~(v90(constB157, bitIndex2) <=> v90(constB156, bitIndex2))) | (~v90(constB157, bitIndex2)) | v90(constB156, bitIndex2)),
% 15.80/11.02 inference(tautology,[status(thm)],[])).
% 15.80/11.02 tff(22439,plain,
% 15.80/11.02 (~v90(constB157, bitIndex2)),
% 15.80/11.02 inference(unit_resolution,[status(thm)],[22438, 22437, 21271])).
% 15.80/11.02 tff(22440,plain,
% 15.80/11.02 (((~![B: $i] : ((~less_3(B)) | (v90(constB157, B) <=> v90(constB156, B)))) | ((~less_3(bitIndex0)) | (v90(constB157, bitIndex0) <=> v90(constB156, bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v90(constB157, B) <=> v90(constB156, B)))) | (~less_3(bitIndex0)) | (v90(constB157, bitIndex0) <=> v90(constB156, bitIndex0)))),
% 15.80/11.02 inference(rewrite,[status(thm)],[])).
% 15.80/11.02 tff(22441,plain,
% 15.80/11.02 ((~![B: $i] : ((~less_3(B)) | (v90(constB157, B) <=> v90(constB156, B)))) | ((~less_3(bitIndex0)) | (v90(constB157, bitIndex0) <=> v90(constB156, bitIndex0)))),
% 15.80/11.02 inference(quant_inst,[status(thm)],[])).
% 15.80/11.02 tff(22442,plain,
% 15.80/11.02 ((~![B: $i] : ((~less_3(B)) | (v90(constB157, B) <=> v90(constB156, B)))) | (~less_3(bitIndex0)) | (v90(constB157, bitIndex0) <=> v90(constB156, bitIndex0))),
% 15.80/11.02 inference(modus_ponens,[status(thm)],[22441, 22440])).
% 15.80/11.02 tff(22443,plain,
% 15.80/11.02 (v90(constB157, bitIndex0) <=> v90(constB156, bitIndex0)),
% 15.80/11.02 inference(unit_resolution,[status(thm)],[22442, 5004, 21267])).
% 15.80/11.02 tff(22444,plain,
% 15.80/11.02 (((~![B: $i] : ((~less_3(B)) | (v90(constB156, B) <=> v129(constB156, B)))) | ((~less_3(bitIndex0)) | (v90(constB156, bitIndex0) <=> v129(constB156, bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v90(constB156, B) <=> v129(constB156, B)))) | (~less_3(bitIndex0)) | (v90(constB156, bitIndex0) <=> v129(constB156, bitIndex0)))),
% 15.80/11.02 inference(rewrite,[status(thm)],[])).
% 15.80/11.02 tff(22445,plain,
% 15.80/11.02 ((~![B: $i] : ((~less_3(B)) | (v90(constB156, B) <=> v129(constB156, B)))) | ((~less_3(bitIndex0)) | (v90(constB156, bitIndex0) <=> v129(constB156, bitIndex0)))),
% 15.80/11.02 inference(quant_inst,[status(thm)],[])).
% 15.80/11.02 tff(22446,plain,
% 15.80/11.02 ((~![B: $i] : ((~less_3(B)) | (v90(constB156, B) <=> v129(constB156, B)))) | (~less_3(bitIndex0)) | (v90(constB156, bitIndex0) <=> v129(constB156, bitIndex0))),
% 15.80/11.02 inference(modus_ponens,[status(thm)],[22445, 22444])).
% 15.80/11.02 tff(22447,plain,
% 15.80/11.02 (v90(constB156, bitIndex0) <=> v129(constB156, bitIndex0)),
% 15.80/11.02 inference(unit_resolution,[status(thm)],[22446, 5004, 22335])).
% 15.80/11.02 tff(22448,plain,
% 15.80/11.02 (((~![B: $i] : ((~less_3(B)) | (v129(constB156, B) <=> v127(constB155, B)))) | ((~less_3(bitIndex0)) | (v129(constB156, bitIndex0) <=> v127(constB155, bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v129(constB156, B) <=> v127(constB155, B)))) | (~less_3(bitIndex0)) | (v129(constB156, bitIndex0) <=> v127(constB155, bitIndex0)))),
% 15.80/11.02 inference(rewrite,[status(thm)],[])).
% 15.80/11.02 tff(22449,plain,
% 15.80/11.02 ((~![B: $i] : ((~less_3(B)) | (v129(constB156, B) <=> v127(constB155, B)))) | ((~less_3(bitIndex0)) | (v129(constB156, bitIndex0) <=> v127(constB155, bitIndex0)))),
% 15.80/11.02 inference(quant_inst,[status(thm)],[])).
% 15.80/11.02 tff(22450,plain,
% 15.80/11.02 ((~![B: $i] : ((~less_3(B)) | (v129(constB156, B) <=> v127(constB155, B)))) | (~less_3(bitIndex0)) | (v129(constB156, bitIndex0) <=> v127(constB155, bitIndex0))),
% 15.80/11.02 inference(modus_ponens,[status(thm)],[22449, 22448])).
% 15.80/11.02 tff(22451,plain,
% 15.80/11.02 (v129(constB156, bitIndex0) <=> v127(constB155, bitIndex0)),
% 15.80/11.02 inference(unit_resolution,[status(thm)],[22450, 5004, 22343])).
% 15.80/11.02 tff(22452,plain,
% 15.80/11.02 (((~![B: $i] : ((~less_3(B)) | (v127(constB155, B) <=> v130(constB155, B)))) | ((~less_3(bitIndex0)) | (v127(constB155, bitIndex0) <=> v130(constB155, bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v127(constB155, B) <=> v130(constB155, B)))) | (~less_3(bitIndex0)) | (v127(constB155, bitIndex0) <=> v130(constB155, bitIndex0)))),
% 15.80/11.02 inference(rewrite,[status(thm)],[])).
% 15.80/11.02 tff(22453,plain,
% 15.80/11.02 ((~![B: $i] : ((~less_3(B)) | (v127(constB155, B) <=> v130(constB155, B)))) | ((~less_3(bitIndex0)) | (v127(constB155, bitIndex0) <=> v130(constB155, bitIndex0)))),
% 15.80/11.02 inference(quant_inst,[status(thm)],[])).
% 15.80/11.02 tff(22454,plain,
% 15.80/11.02 ((~![B: $i] : ((~less_3(B)) | (v127(constB155, B) <=> v130(constB155, B)))) | (~less_3(bitIndex0)) | (v127(constB155, bitIndex0) <=> v130(constB155, bitIndex0))),
% 15.80/11.02 inference(modus_ponens,[status(thm)],[22453, 22452])).
% 15.80/11.02 tff(22455,plain,
% 15.80/11.02 (v127(constB155, bitIndex0) <=> v130(constB155, bitIndex0)),
% 15.80/11.02 inference(unit_resolution,[status(thm)],[22454, 5004, 22351])).
% 15.80/11.02 tff(22456,plain,
% 15.80/11.02 (((~![B: $i] : ((~less_3(B)) | (v130(constB155, B) <=> b001(B)))) | ((~less_3(bitIndex0)) | (v130(constB155, bitIndex0) <=> b001(bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v130(constB155, B) <=> b001(B)))) | (~less_3(bitIndex0)) | (v130(constB155, bitIndex0) <=> b001(bitIndex0)))),
% 15.80/11.02 inference(rewrite,[status(thm)],[])).
% 15.80/11.02 tff(22457,plain,
% 15.80/11.02 ((~![B: $i] : ((~less_3(B)) | (v130(constB155, B) <=> b001(B)))) | ((~less_3(bitIndex0)) | (v130(constB155, bitIndex0) <=> b001(bitIndex0)))),
% 15.80/11.02 inference(quant_inst,[status(thm)],[])).
% 15.80/11.02 tff(22458,plain,
% 15.80/11.02 ((~![B: $i] : ((~less_3(B)) | (v130(constB155, B) <=> b001(B)))) | (~less_3(bitIndex0)) | (v130(constB155, bitIndex0) <=> b001(bitIndex0))),
% 15.80/11.02 inference(modus_ponens,[status(thm)],[22457, 22456])).
% 15.80/11.02 tff(22459,plain,
% 15.80/11.02 (v130(constB155, bitIndex0) <=> b001(bitIndex0)),
% 15.80/11.02 inference(unit_resolution,[status(thm)],[22458, 5004, 22424])).
% 15.80/11.02 tff(22460,plain,
% 15.80/11.02 ((~(v130(constB155, bitIndex0) <=> b001(bitIndex0))) | v130(constB155, bitIndex0) | (~b001(bitIndex0))),
% 15.80/11.02 inference(tautology,[status(thm)],[])).
% 15.80/11.02 tff(22461,plain,
% 15.80/11.02 ((~(v130(constB155, bitIndex0) <=> b001(bitIndex0))) | v130(constB155, bitIndex0)),
% 15.80/11.02 inference(unit_resolution,[status(thm)],[22460, 5659])).
% 15.80/11.02 tff(22462,plain,
% 15.80/11.02 (v130(constB155, bitIndex0)),
% 15.80/11.02 inference(unit_resolution,[status(thm)],[22461, 22459])).
% 15.80/11.02 tff(22463,plain,
% 15.80/11.02 ((~(v127(constB155, bitIndex0) <=> v130(constB155, bitIndex0))) | v127(constB155, bitIndex0) | (~v130(constB155, bitIndex0))),
% 15.80/11.02 inference(tautology,[status(thm)],[])).
% 15.80/11.02 tff(22464,plain,
% 15.80/11.02 (v127(constB155, bitIndex0)),
% 15.80/11.02 inference(unit_resolution,[status(thm)],[22463, 22462, 22455])).
% 15.80/11.02 tff(22465,plain,
% 15.80/11.02 ((~(v129(constB156, bitIndex0) <=> v127(constB155, bitIndex0))) | v129(constB156, bitIndex0) | (~v127(constB155, bitIndex0))),
% 15.80/11.02 inference(tautology,[status(thm)],[])).
% 15.80/11.02 tff(22466,plain,
% 15.80/11.02 (v129(constB156, bitIndex0)),
% 15.80/11.02 inference(unit_resolution,[status(thm)],[22465, 22464, 22451])).
% 15.80/11.02 tff(22467,plain,
% 15.80/11.02 ((~(v90(constB156, bitIndex0) <=> v129(constB156, bitIndex0))) | v90(constB156, bitIndex0) | (~v129(constB156, bitIndex0))),
% 15.80/11.02 inference(tautology,[status(thm)],[])).
% 15.80/11.02 tff(22468,plain,
% 15.80/11.02 (v90(constB156, bitIndex0)),
% 15.80/11.02 inference(unit_resolution,[status(thm)],[22467, 22466, 22447])).
% 15.80/11.02 tff(22469,plain,
% 15.80/11.02 ((~(v90(constB157, bitIndex0) <=> v90(constB156, bitIndex0))) | v90(constB157, bitIndex0) | (~v90(constB156, bitIndex0))),
% 15.80/11.02 inference(tautology,[status(thm)],[])).
% 15.80/11.02 tff(22470,plain,
% 15.80/11.02 (v90(constB157, bitIndex0)),
% 15.80/11.02 inference(unit_resolution,[status(thm)],[22469, 22468, 22443])).
% 15.80/11.02 tff(22471,plain,
% 15.80/11.02 (((~![B: $i] : ((~less_3(B)) | (v90(constB157, B) <=> v90(constB156, B)))) | ((~less_3(bitIndex1)) | (v90(constB157, bitIndex1) <=> v90(constB156, bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v90(constB157, B) <=> v90(constB156, B)))) | (~less_3(bitIndex1)) | (v90(constB157, bitIndex1) <=> v90(constB156, bitIndex1)))),
% 15.80/11.02 inference(rewrite,[status(thm)],[])).
% 15.80/11.02 tff(22472,plain,
% 15.80/11.02 ((~![B: $i] : ((~less_3(B)) | (v90(constB157, B) <=> v90(constB156, B)))) | ((~less_3(bitIndex1)) | (v90(constB157, bitIndex1) <=> v90(constB156, bitIndex1)))),
% 15.80/11.02 inference(quant_inst,[status(thm)],[])).
% 15.80/11.02 tff(22473,plain,
% 15.80/11.02 ((~![B: $i] : ((~less_3(B)) | (v90(constB157, B) <=> v90(constB156, B)))) | (~less_3(bitIndex1)) | (v90(constB157, bitIndex1) <=> v90(constB156, bitIndex1))),
% 15.80/11.02 inference(modus_ponens,[status(thm)],[22472, 22471])).
% 15.80/11.02 tff(22474,plain,
% 15.80/11.02 (v90(constB157, bitIndex1) <=> v90(constB156, bitIndex1)),
% 15.80/11.02 inference(unit_resolution,[status(thm)],[22473, 5017, 21267])).
% 15.80/11.02 tff(22475,plain,
% 15.80/11.02 (((~![B: $i] : ((~less_3(B)) | (v90(constB156, B) <=> v129(constB156, B)))) | ((~less_3(bitIndex1)) | (v90(constB156, bitIndex1) <=> v129(constB156, bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v90(constB156, B) <=> v129(constB156, B)))) | (~less_3(bitIndex1)) | (v90(constB156, bitIndex1) <=> v129(constB156, bitIndex1)))),
% 15.80/11.02 inference(rewrite,[status(thm)],[])).
% 15.80/11.02 tff(22476,plain,
% 15.80/11.02 ((~![B: $i] : ((~less_3(B)) | (v90(constB156, B) <=> v129(constB156, B)))) | ((~less_3(bitIndex1)) | (v90(constB156, bitIndex1) <=> v129(constB156, bitIndex1)))),
% 15.80/11.02 inference(quant_inst,[status(thm)],[])).
% 15.80/11.02 tff(22477,plain,
% 15.80/11.02 ((~![B: $i] : ((~less_3(B)) | (v90(constB156, B) <=> v129(constB156, B)))) | (~less_3(bitIndex1)) | (v90(constB156, bitIndex1) <=> v129(constB156, bitIndex1))),
% 15.80/11.02 inference(modus_ponens,[status(thm)],[22476, 22475])).
% 15.80/11.02 tff(22478,plain,
% 15.80/11.02 (v90(constB156, bitIndex1) <=> v129(constB156, bitIndex1)),
% 15.80/11.02 inference(unit_resolution,[status(thm)],[22477, 5017, 22335])).
% 15.80/11.02 tff(22479,plain,
% 15.80/11.02 (((~![B: $i] : ((~less_3(B)) | (v129(constB156, B) <=> v127(constB155, B)))) | ((~less_3(bitIndex1)) | (v129(constB156, bitIndex1) <=> v127(constB155, bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v129(constB156, B) <=> v127(constB155, B)))) | (~less_3(bitIndex1)) | (v129(constB156, bitIndex1) <=> v127(constB155, bitIndex1)))),
% 15.80/11.02 inference(rewrite,[status(thm)],[])).
% 15.80/11.02 tff(22480,plain,
% 15.80/11.02 ((~![B: $i] : ((~less_3(B)) | (v129(constB156, B) <=> v127(constB155, B)))) | ((~less_3(bitIndex1)) | (v129(constB156, bitIndex1) <=> v127(constB155, bitIndex1)))),
% 15.80/11.02 inference(quant_inst,[status(thm)],[])).
% 15.80/11.02 tff(22481,plain,
% 15.80/11.02 ((~![B: $i] : ((~less_3(B)) | (v129(constB156, B) <=> v127(constB155, B)))) | (~less_3(bitIndex1)) | (v129(constB156, bitIndex1) <=> v127(constB155, bitIndex1))),
% 15.80/11.02 inference(modus_ponens,[status(thm)],[22480, 22479])).
% 15.80/11.02 tff(22482,plain,
% 15.80/11.02 (v129(constB156, bitIndex1) <=> v127(constB155, bitIndex1)),
% 15.80/11.02 inference(unit_resolution,[status(thm)],[22481, 5017, 22343])).
% 15.80/11.02 tff(22483,plain,
% 15.80/11.02 (((~![B: $i] : ((~less_3(B)) | (v127(constB155, B) <=> v130(constB155, B)))) | ((~less_3(bitIndex1)) | (v127(constB155, bitIndex1) <=> v130(constB155, bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v127(constB155, B) <=> v130(constB155, B)))) | (~less_3(bitIndex1)) | (v127(constB155, bitIndex1) <=> v130(constB155, bitIndex1)))),
% 15.80/11.02 inference(rewrite,[status(thm)],[])).
% 15.80/11.02 tff(22484,plain,
% 15.80/11.02 ((~![B: $i] : ((~less_3(B)) | (v127(constB155, B) <=> v130(constB155, B)))) | ((~less_3(bitIndex1)) | (v127(constB155, bitIndex1) <=> v130(constB155, bitIndex1)))),
% 15.80/11.02 inference(quant_inst,[status(thm)],[])).
% 15.80/11.02 tff(22485,plain,
% 15.80/11.02 ((~![B: $i] : ((~less_3(B)) | (v127(constB155, B) <=> v130(constB155, B)))) | (~less_3(bitIndex1)) | (v127(constB155, bitIndex1) <=> v130(constB155, bitIndex1))),
% 15.80/11.02 inference(modus_ponens,[status(thm)],[22484, 22483])).
% 15.80/11.02 tff(22486,plain,
% 15.80/11.02 (v127(constB155, bitIndex1) <=> v130(constB155, bitIndex1)),
% 15.80/11.02 inference(unit_resolution,[status(thm)],[22485, 5017, 22351])).
% 15.80/11.03 tff(22487,plain,
% 15.80/11.03 (((~![B: $i] : ((~less_3(B)) | (v130(constB155, B) <=> b001(B)))) | ((~less_3(bitIndex1)) | (v130(constB155, bitIndex1) <=> b001(bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v130(constB155, B) <=> b001(B)))) | (~less_3(bitIndex1)) | (v130(constB155, bitIndex1) <=> b001(bitIndex1)))),
% 15.80/11.03 inference(rewrite,[status(thm)],[])).
% 15.80/11.03 tff(22488,plain,
% 15.80/11.03 ((~![B: $i] : ((~less_3(B)) | (v130(constB155, B) <=> b001(B)))) | ((~less_3(bitIndex1)) | (v130(constB155, bitIndex1) <=> b001(bitIndex1)))),
% 15.80/11.03 inference(quant_inst,[status(thm)],[])).
% 15.80/11.03 tff(22489,plain,
% 15.80/11.03 ((~![B: $i] : ((~less_3(B)) | (v130(constB155, B) <=> b001(B)))) | (~less_3(bitIndex1)) | (v130(constB155, bitIndex1) <=> b001(bitIndex1))),
% 15.80/11.03 inference(modus_ponens,[status(thm)],[22488, 22487])).
% 15.80/11.03 tff(22490,plain,
% 15.80/11.03 (v130(constB155, bitIndex1) <=> b001(bitIndex1)),
% 15.80/11.03 inference(unit_resolution,[status(thm)],[22489, 5017, 22424])).
% 15.80/11.03 tff(22491,plain,
% 15.80/11.03 ((~(v130(constB155, bitIndex1) <=> b001(bitIndex1))) | (~v130(constB155, bitIndex1)) | b001(bitIndex1)),
% 15.80/11.03 inference(tautology,[status(thm)],[])).
% 15.80/11.03 tff(22492,plain,
% 15.80/11.03 ((~(v130(constB155, bitIndex1) <=> b001(bitIndex1))) | (~v130(constB155, bitIndex1))),
% 15.80/11.03 inference(unit_resolution,[status(thm)],[22491, 5693])).
% 15.80/11.03 tff(22493,plain,
% 15.80/11.03 (~v130(constB155, bitIndex1)),
% 15.80/11.03 inference(unit_resolution,[status(thm)],[22492, 22490])).
% 15.80/11.03 tff(22494,plain,
% 15.80/11.03 ((~(v127(constB155, bitIndex1) <=> v130(constB155, bitIndex1))) | (~v127(constB155, bitIndex1)) | v130(constB155, bitIndex1)),
% 15.80/11.03 inference(tautology,[status(thm)],[])).
% 15.80/11.03 tff(22495,plain,
% 15.80/11.03 (~v127(constB155, bitIndex1)),
% 15.80/11.03 inference(unit_resolution,[status(thm)],[22494, 22493, 22486])).
% 15.80/11.03 tff(22496,plain,
% 15.80/11.03 ((~(v129(constB156, bitIndex1) <=> v127(constB155, bitIndex1))) | (~v129(constB156, bitIndex1)) | v127(constB155, bitIndex1)),
% 15.80/11.03 inference(tautology,[status(thm)],[])).
% 15.80/11.03 tff(22497,plain,
% 15.80/11.03 (~v129(constB156, bitIndex1)),
% 15.80/11.03 inference(unit_resolution,[status(thm)],[22496, 22495, 22482])).
% 15.80/11.03 tff(22498,plain,
% 15.80/11.03 ((~(v90(constB156, bitIndex1) <=> v129(constB156, bitIndex1))) | (~v90(constB156, bitIndex1)) | v129(constB156, bitIndex1)),
% 15.80/11.03 inference(tautology,[status(thm)],[])).
% 15.80/11.03 tff(22499,plain,
% 15.80/11.03 (~v90(constB156, bitIndex1)),
% 15.80/11.03 inference(unit_resolution,[status(thm)],[22498, 22497, 22478])).
% 15.80/11.03 tff(22500,plain,
% 15.80/11.03 ((~(v90(constB157, bitIndex1) <=> v90(constB156, bitIndex1))) | (~v90(constB157, bitIndex1)) | v90(constB156, bitIndex1)),
% 15.80/11.03 inference(tautology,[status(thm)],[])).
% 15.80/11.03 tff(22501,plain,
% 15.80/11.03 (~v90(constB157, bitIndex1)),
% 15.80/11.03 inference(unit_resolution,[status(thm)],[22500, 22499, 22474])).
% 15.80/11.03 tff(22502,plain,
% 15.80/11.03 ((~(v90(constB157, bitIndex2) | v90(constB157, bitIndex1) | (~v90(constB157, bitIndex0)))) | v90(constB157, bitIndex2) | v90(constB157, bitIndex1) | (~v90(constB157, bitIndex0))),
% 15.80/11.03 inference(tautology,[status(thm)],[])).
% 15.80/11.03 tff(22503,plain,
% 15.80/11.03 (~(v90(constB157, bitIndex2) | v90(constB157, bitIndex1) | (~v90(constB157, bitIndex0)))),
% 15.80/11.03 inference(unit_resolution,[status(thm)],[22502, 22501, 22470, 22439])).
% 15.80/11.03 tff(22504,plain,
% 15.80/11.03 ((~(v120(constB157) <=> (~(v90(constB157, bitIndex2) | v90(constB157, bitIndex1) | (~v90(constB157, bitIndex0)))))) | v120(constB157) | (v90(constB157, bitIndex2) | v90(constB157, bitIndex1) | (~v90(constB157, bitIndex0)))),
% 15.80/11.03 inference(tautology,[status(thm)],[])).
% 15.80/11.03 tff(22505,plain,
% 15.80/11.03 (v120(constB157)),
% 15.80/11.03 inference(unit_resolution,[status(thm)],[22504, 22503, 21239])).
% 15.80/11.03 tff(22506,plain,
% 15.80/11.03 ((v119(constB157) | v120(constB157)) | (~v120(constB157))),
% 15.80/11.03 inference(tautology,[status(thm)],[])).
% 15.80/11.03 tff(22507,plain,
% 15.80/11.03 (v119(constB157) | v120(constB157)),
% 15.80/11.03 inference(unit_resolution,[status(thm)],[22506, 22505])).
% 15.80/11.03 tff(22508,plain,
% 15.80/11.03 ((~(v118(constB157) <=> (v119(constB157) | v120(constB157)))) | v118(constB157) | (~(v119(constB157) | v120(constB157)))),
% 15.80/11.03 inference(tautology,[status(thm)],[])).
% 15.80/11.03 tff(22509,plain,
% 15.80/11.03 (v118(constB157)),
% 15.80/11.03 inference(unit_resolution,[status(thm)],[22508, 22507, 21232])).
% 15.80/11.03 tff(22510,plain,
% 15.80/11.03 ((v118(constB157) | v121(constB157)) | (~v118(constB157))),
% 15.80/11.03 inference(tautology,[status(thm)],[])).
% 15.80/11.03 tff(22511,plain,
% 15.80/11.03 (v118(constB157) | v121(constB157)),
% 15.80/11.03 inference(unit_resolution,[status(thm)],[22510, 22509])).
% 15.80/11.03 tff(22512,plain,
% 15.80/11.03 ((~(v117(constB157) <=> (v118(constB157) | v121(constB157)))) | v117(constB157) | (~(v118(constB157) | v121(constB157)))),
% 15.80/11.03 inference(tautology,[status(thm)],[])).
% 15.80/11.03 tff(22513,plain,
% 15.80/11.03 (v117(constB157)),
% 15.80/11.03 inference(unit_resolution,[status(thm)],[22512, 22511, 21230])).
% 15.80/11.03 tff(22514,plain,
% 15.80/11.03 ((v117(constB157) | v122(constB157)) | (~v117(constB157))),
% 15.80/11.03 inference(tautology,[status(thm)],[])).
% 15.80/11.03 tff(22515,plain,
% 15.80/11.03 (v117(constB157) | v122(constB157)),
% 15.80/11.03 inference(unit_resolution,[status(thm)],[22514, 22513])).
% 15.80/11.03 tff(22516,plain,
% 15.80/11.03 ((~(v116(constB157) <=> (v117(constB157) | v122(constB157)))) | v116(constB157) | (~(v117(constB157) | v122(constB157)))),
% 15.80/11.03 inference(tautology,[status(thm)],[])).
% 15.80/11.03 tff(22517,plain,
% 15.80/11.03 (v116(constB157)),
% 15.80/11.03 inference(unit_resolution,[status(thm)],[22516, 22515, 21228])).
% 15.80/11.03 tff(22518,plain,
% 15.80/11.03 ((v116(constB157) | v123(constB157)) | (~v116(constB157))),
% 15.80/11.03 inference(tautology,[status(thm)],[])).
% 15.80/11.03 tff(22519,plain,
% 15.80/11.03 (v116(constB157) | v123(constB157)),
% 15.80/11.03 inference(unit_resolution,[status(thm)],[22518, 22517])).
% 15.80/11.03 tff(22520,plain,
% 15.80/11.03 ((~(v115(constB157) <=> (v116(constB157) | v123(constB157)))) | v115(constB157) | (~(v116(constB157) | v123(constB157)))),
% 15.80/11.03 inference(tautology,[status(thm)],[])).
% 15.80/11.03 tff(22521,plain,
% 15.80/11.03 (v115(constB157)),
% 15.80/11.03 inference(unit_resolution,[status(thm)],[22520, 22519, 21226])).
% 15.80/11.03 tff(22522,plain,
% 15.80/11.03 ((v115(constB157) | v124(constB157)) | (~v115(constB157))),
% 15.80/11.03 inference(tautology,[status(thm)],[])).
% 15.80/11.03 tff(22523,plain,
% 15.80/11.03 (v115(constB157) | v124(constB157)),
% 15.80/11.03 inference(unit_resolution,[status(thm)],[22522, 22521])).
% 15.80/11.03 tff(22524,plain,
% 15.80/11.03 ((~(v114(constB157) <=> (v115(constB157) | v124(constB157)))) | v114(constB157) | (~(v115(constB157) | v124(constB157)))),
% 15.80/11.03 inference(tautology,[status(thm)],[])).
% 15.80/11.03 tff(22525,plain,
% 15.80/11.03 (v114(constB157)),
% 15.80/11.03 inference(unit_resolution,[status(thm)],[22524, 22523, 21224])).
% 15.80/11.03 tff(22526,plain,
% 15.80/11.03 ((v114(constB157) | v125(constB157)) | (~v114(constB157))),
% 15.80/11.03 inference(tautology,[status(thm)],[])).
% 15.80/11.03 tff(22527,plain,
% 15.80/11.03 (v114(constB157) | v125(constB157)),
% 15.80/11.03 inference(unit_resolution,[status(thm)],[22526, 22525])).
% 15.80/11.03 tff(22528,plain,
% 15.80/11.03 ((~(v113(constB157) <=> (v114(constB157) | v125(constB157)))) | v113(constB157) | (~(v114(constB157) | v125(constB157)))),
% 15.80/11.03 inference(tautology,[status(thm)],[])).
% 15.80/11.03 tff(22529,plain,
% 15.80/11.03 (v113(constB157)),
% 15.80/11.03 inference(unit_resolution,[status(thm)],[22528, 22527, 21222])).
% 15.80/11.03 tff(22530,plain,
% 15.80/11.03 ((~![VarCurr: $i] : ((~v126(VarCurr)) <=> v111(VarCurr))) | ((~v126(constB157)) <=> v111(constB157))),
% 15.80/11.03 inference(quant_inst,[status(thm)],[])).
% 15.80/11.03 tff(22531,plain,
% 15.80/11.03 ((~v126(constB157)) <=> v111(constB157)),
% 15.80/11.03 inference(unit_resolution,[status(thm)],[22530, 5074])).
% 15.80/11.03 tff(22532,plain,
% 15.80/11.03 ((~![VarCurr: $i] : (v111(VarCurr) <=> v26(VarCurr))) | (v111(constB157) <=> v26(constB157))),
% 15.80/11.03 inference(quant_inst,[status(thm)],[])).
% 15.80/11.03 tff(22533,plain,
% 15.80/11.03 (v111(constB157) <=> v26(constB157)),
% 15.80/11.03 inference(unit_resolution,[status(thm)],[22532, 5086])).
% 15.80/11.03 tff(22534,plain,
% 15.80/11.03 ((~![VarCurr: $i] : (~v26(VarCurr))) | (~v26(constB157))),
% 15.80/11.03 inference(quant_inst,[status(thm)],[])).
% 15.80/11.03 tff(22535,plain,
% 15.80/11.03 (~v26(constB157)),
% 15.80/11.03 inference(unit_resolution,[status(thm)],[22534, 5098])).
% 15.80/11.03 tff(22536,plain,
% 15.80/11.03 ((~(v111(constB157) <=> v26(constB157))) | (~v111(constB157)) | v26(constB157)),
% 15.80/11.03 inference(tautology,[status(thm)],[])).
% 15.80/11.03 tff(22537,plain,
% 15.80/11.03 ((~(v111(constB157) <=> v26(constB157))) | (~v111(constB157))),
% 15.80/11.03 inference(unit_resolution,[status(thm)],[22536, 22535])).
% 15.80/11.03 tff(22538,plain,
% 15.80/11.03 (~v111(constB157)),
% 15.80/11.03 inference(unit_resolution,[status(thm)],[22537, 22533])).
% 15.80/11.03 tff(22539,plain,
% 15.80/11.03 ((~((~v126(constB157)) <=> v111(constB157))) | v126(constB157) | v111(constB157)),
% 15.80/11.03 inference(tautology,[status(thm)],[])).
% 15.80/11.03 tff(22540,plain,
% 15.80/11.03 ((~((~v126(constB157)) <=> v111(constB157))) | v126(constB157)),
% 15.80/11.03 inference(unit_resolution,[status(thm)],[22539, 22538])).
% 15.80/11.03 tff(22541,plain,
% 15.80/11.03 (v126(constB157)),
% 15.80/11.03 inference(unit_resolution,[status(thm)],[22540, 22531])).
% 15.80/11.03 tff(22542,plain,
% 15.80/11.03 ((~((~v113(constB157)) | (~v126(constB157)))) | (~v113(constB157)) | (~v126(constB157))),
% 15.80/11.03 inference(tautology,[status(thm)],[])).
% 15.80/11.03 tff(22543,plain,
% 15.80/11.03 ((~((~v113(constB157)) | (~v126(constB157)))) | (~v113(constB157))),
% 15.80/11.03 inference(unit_resolution,[status(thm)],[22542, 22541])).
% 15.80/11.03 tff(22544,plain,
% 15.80/11.03 (~((~v113(constB157)) | (~v126(constB157)))),
% 15.80/11.03 inference(unit_resolution,[status(thm)],[22543, 22529])).
% 15.80/11.03 tff(22545,plain,
% 15.80/11.03 ((~(v112(constB157) <=> (~((~v113(constB157)) | (~v126(constB157)))))) | v112(constB157) | ((~v113(constB157)) | (~v126(constB157)))),
% 15.80/11.03 inference(tautology,[status(thm)],[])).
% 15.80/11.03 tff(22546,plain,
% 15.80/11.03 (v112(constB157)),
% 15.80/11.03 inference(unit_resolution,[status(thm)],[22545, 22544, 21220])).
% 15.80/11.03 tff(22547,plain,
% 15.80/11.03 ((v111(constB157) | v112(constB157)) | (~v112(constB157))),
% 15.80/11.03 inference(tautology,[status(thm)],[])).
% 15.80/11.03 tff(22548,plain,
% 15.80/11.03 (v111(constB157) | v112(constB157)),
% 15.80/11.03 inference(unit_resolution,[status(thm)],[22547, 22546])).
% 15.80/11.03 tff(22549,plain,
% 15.80/11.03 ((~(v108(constB157) <=> (v111(constB157) | v112(constB157)))) | v108(constB157) | (~(v111(constB157) | v112(constB157)))),
% 15.80/11.03 inference(tautology,[status(thm)],[])).
% 15.80/11.03 tff(22550,plain,
% 15.80/11.03 (v108(constB157)),
% 15.80/11.03 inference(unit_resolution,[status(thm)],[22549, 22548, 21218])).
% 15.80/11.03 tff(22551,plain,
% 15.80/11.03 ((~(v110(constB158) <=> v108(constB157))) | v110(constB158) | (~v108(constB157))),
% 15.80/11.03 inference(tautology,[status(thm)],[])).
% 15.80/11.03 tff(22552,plain,
% 15.80/11.03 (v110(constB158)),
% 15.80/11.03 inference(unit_resolution,[status(thm)],[22551, 22550, 21216])).
% 15.80/11.03 tff(22553,plain,
% 15.80/11.03 ((~((~v101(constB158)) | (~v110(constB158)))) | (~v101(constB158)) | (~v110(constB158))),
% 15.80/11.03 inference(tautology,[status(thm)],[])).
% 15.80/11.03 tff(22554,plain,
% 15.80/11.03 (~((~v101(constB158)) | (~v110(constB158)))),
% 15.80/11.03 inference(unit_resolution,[status(thm)],[22553, 22552, 21212])).
% 15.80/11.03 tff(22555,plain,
% 15.80/11.03 ((~(v100(constB158) <=> (~((~v101(constB158)) | (~v110(constB158)))))) | v100(constB158) | ((~v101(constB158)) | (~v110(constB158)))),
% 15.80/11.03 inference(tautology,[status(thm)],[])).
% 15.80/11.03 tff(22556,plain,
% 15.80/11.03 (v100(constB158)),
% 15.80/11.03 inference(unit_resolution,[status(thm)],[22555, 22554, 21181])).
% 15.80/11.03 tff(22557,plain,
% 15.80/11.03 (((~![VarNext: $i] : ((~v100(VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v129(VarNext, B))))) | ((~v100(constB158)) | ![B: $i] : ((~less_3(B)) | (v90(constB158, B) <=> v129(constB158, B))))) <=> ((~![VarNext: $i] : ((~v100(VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v129(VarNext, B))))) | (~v100(constB158)) | ![B: $i] : ((~less_3(B)) | (v90(constB158, B) <=> v129(constB158, B))))),
% 15.80/11.03 inference(rewrite,[status(thm)],[])).
% 15.80/11.03 tff(22558,plain,
% 15.80/11.03 ((~![VarNext: $i] : ((~v100(VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v129(VarNext, B))))) | ((~v100(constB158)) | ![B: $i] : ((~less_3(B)) | (v90(constB158, B) <=> v129(constB158, B))))),
% 15.80/11.03 inference(quant_inst,[status(thm)],[])).
% 15.80/11.03 tff(22559,plain,
% 15.80/11.03 ((~![VarNext: $i] : ((~v100(VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v129(VarNext, B))))) | (~v100(constB158)) | ![B: $i] : ((~less_3(B)) | (v90(constB158, B) <=> v129(constB158, B)))),
% 15.80/11.03 inference(modus_ponens,[status(thm)],[22558, 22557])).
% 15.80/11.03 tff(22560,plain,
% 15.80/11.03 ((~v100(constB158)) | ![B: $i] : ((~less_3(B)) | (v90(constB158, B) <=> v129(constB158, B)))),
% 15.80/11.03 inference(unit_resolution,[status(thm)],[22559, 5134])).
% 15.80/11.03 tff(22561,plain,
% 15.80/11.03 (![B: $i] : ((~less_3(B)) | (v90(constB158, B) <=> v129(constB158, B)))),
% 15.80/11.03 inference(unit_resolution,[status(thm)],[22560, 22556])).
% 15.80/11.03 tff(22562,plain,
% 15.80/11.03 (((~![B: $i] : ((~less_3(B)) | (v90(constB158, B) <=> v129(constB158, B)))) | ((~less_3(bitIndex2)) | (v90(constB158, bitIndex2) <=> v129(constB158, bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v90(constB158, B) <=> v129(constB158, B)))) | (~less_3(bitIndex2)) | (v90(constB158, bitIndex2) <=> v129(constB158, bitIndex2)))),
% 15.80/11.03 inference(rewrite,[status(thm)],[])).
% 15.80/11.03 tff(22563,plain,
% 15.80/11.03 ((~![B: $i] : ((~less_3(B)) | (v90(constB158, B) <=> v129(constB158, B)))) | ((~less_3(bitIndex2)) | (v90(constB158, bitIndex2) <=> v129(constB158, bitIndex2)))),
% 15.80/11.03 inference(quant_inst,[status(thm)],[])).
% 15.80/11.03 tff(22564,plain,
% 15.80/11.03 ((~![B: $i] : ((~less_3(B)) | (v90(constB158, B) <=> v129(constB158, B)))) | (~less_3(bitIndex2)) | (v90(constB158, bitIndex2) <=> v129(constB158, bitIndex2))),
% 15.80/11.03 inference(modus_ponens,[status(thm)],[22563, 22562])).
% 15.80/11.03 tff(22565,plain,
% 15.80/11.03 (v90(constB158, bitIndex2) <=> v129(constB158, bitIndex2)),
% 15.80/11.03 inference(unit_resolution,[status(thm)],[22564, 413, 22561])).
% 15.80/11.03 tff(22566,plain,
% 15.80/11.03 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v129(VarNext, B) <=> v127(VarCurr, B))))) | ((~nextState(constB157, constB158)) | ![B: $i] : ((~less_3(B)) | (v129(constB158, B) <=> v127(constB157, B))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v129(VarNext, B) <=> v127(VarCurr, B))))) | (~nextState(constB157, constB158)) | ![B: $i] : ((~less_3(B)) | (v129(constB158, B) <=> v127(constB157, B))))),
% 15.80/11.03 inference(rewrite,[status(thm)],[])).
% 15.80/11.03 tff(22567,plain,
% 15.80/11.03 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v129(VarNext, B) <=> v127(VarCurr, B))))) | ((~nextState(constB157, constB158)) | ![B: $i] : ((~less_3(B)) | (v129(constB158, B) <=> v127(constB157, B))))),
% 15.80/11.03 inference(quant_inst,[status(thm)],[])).
% 15.80/11.03 tff(22568,plain,
% 15.80/11.03 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v129(VarNext, B) <=> v127(VarCurr, B))))) | (~nextState(constB157, constB158)) | ![B: $i] : ((~less_3(B)) | (v129(constB158, B) <=> v127(constB157, B)))),
% 15.80/11.03 inference(modus_ponens,[status(thm)],[22567, 22566])).
% 15.80/11.03 tff(22569,plain,
% 15.80/11.03 (![B: $i] : ((~less_3(B)) | (v129(constB158, B) <=> v127(constB157, B)))),
% 15.80/11.03 inference(unit_resolution,[status(thm)],[22568, 21177, 5156])).
% 15.80/11.03 tff(22570,plain,
% 15.80/11.03 (((~![B: $i] : ((~less_3(B)) | (v129(constB158, B) <=> v127(constB157, B)))) | ((~less_3(bitIndex2)) | (v129(constB158, bitIndex2) <=> v127(constB157, bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v129(constB158, B) <=> v127(constB157, B)))) | (~less_3(bitIndex2)) | (v129(constB158, bitIndex2) <=> v127(constB157, bitIndex2)))),
% 15.80/11.03 inference(rewrite,[status(thm)],[])).
% 15.80/11.03 tff(22571,plain,
% 15.80/11.03 ((~![B: $i] : ((~less_3(B)) | (v129(constB158, B) <=> v127(constB157, B)))) | ((~less_3(bitIndex2)) | (v129(constB158, bitIndex2) <=> v127(constB157, bitIndex2)))),
% 15.80/11.03 inference(quant_inst,[status(thm)],[])).
% 15.80/11.03 tff(22572,plain,
% 15.80/11.03 ((~![B: $i] : ((~less_3(B)) | (v129(constB158, B) <=> v127(constB157, B)))) | (~less_3(bitIndex2)) | (v129(constB158, bitIndex2) <=> v127(constB157, bitIndex2))),
% 15.80/11.03 inference(modus_ponens,[status(thm)],[22571, 22570])).
% 15.80/11.03 tff(22573,plain,
% 15.80/11.03 (v129(constB158, bitIndex2) <=> v127(constB157, bitIndex2)),
% 15.80/11.03 inference(unit_resolution,[status(thm)],[22572, 413, 22569])).
% 15.80/11.03 tff(22574,plain,
% 15.80/11.03 (((~![VarCurr: $i] : (v111(VarCurr) | ![B: $i] : ((~less_3(B)) | (v127(VarCurr, B) <=> v130(VarCurr, B))))) | (v111(constB157) | ![B: $i] : ((~less_3(B)) | (v127(constB157, B) <=> v130(constB157, B))))) <=> ((~![VarCurr: $i] : (v111(VarCurr) | ![B: $i] : ((~less_3(B)) | (v127(VarCurr, B) <=> v130(VarCurr, B))))) | v111(constB157) | ![B: $i] : ((~less_3(B)) | (v127(constB157, B) <=> v130(constB157, B))))),
% 15.80/11.03 inference(rewrite,[status(thm)],[])).
% 15.80/11.03 tff(22575,plain,
% 15.80/11.03 ((~![VarCurr: $i] : (v111(VarCurr) | ![B: $i] : ((~less_3(B)) | (v127(VarCurr, B) <=> v130(VarCurr, B))))) | (v111(constB157) | ![B: $i] : ((~less_3(B)) | (v127(constB157, B) <=> v130(constB157, B))))),
% 15.80/11.03 inference(quant_inst,[status(thm)],[])).
% 15.80/11.03 tff(22576,plain,
% 15.80/11.03 ((~![VarCurr: $i] : (v111(VarCurr) | ![B: $i] : ((~less_3(B)) | (v127(VarCurr, B) <=> v130(VarCurr, B))))) | v111(constB157) | ![B: $i] : ((~less_3(B)) | (v127(constB157, B) <=> v130(constB157, B)))),
% 15.80/11.03 inference(modus_ponens,[status(thm)],[22575, 22574])).
% 15.80/11.03 tff(22577,plain,
% 15.80/11.03 (![B: $i] : ((~less_3(B)) | (v127(constB157, B) <=> v130(constB157, B)))),
% 15.80/11.03 inference(unit_resolution,[status(thm)],[22576, 5177, 22538])).
% 15.80/11.04 tff(22578,plain,
% 15.80/11.04 (((~![B: $i] : ((~less_3(B)) | (v127(constB157, B) <=> v130(constB157, B)))) | ((~less_3(bitIndex2)) | (v127(constB157, bitIndex2) <=> v130(constB157, bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v127(constB157, B) <=> v130(constB157, B)))) | (~less_3(bitIndex2)) | (v127(constB157, bitIndex2) <=> v130(constB157, bitIndex2)))),
% 15.80/11.04 inference(rewrite,[status(thm)],[])).
% 15.80/11.04 tff(22579,plain,
% 15.80/11.04 ((~![B: $i] : ((~less_3(B)) | (v127(constB157, B) <=> v130(constB157, B)))) | ((~less_3(bitIndex2)) | (v127(constB157, bitIndex2) <=> v130(constB157, bitIndex2)))),
% 15.80/11.04 inference(quant_inst,[status(thm)],[])).
% 15.80/11.04 tff(22580,plain,
% 15.80/11.04 ((~![B: $i] : ((~less_3(B)) | (v127(constB157, B) <=> v130(constB157, B)))) | (~less_3(bitIndex2)) | (v127(constB157, bitIndex2) <=> v130(constB157, bitIndex2))),
% 15.80/11.04 inference(modus_ponens,[status(thm)],[22579, 22578])).
% 15.80/11.04 tff(22581,plain,
% 15.80/11.04 (v127(constB157, bitIndex2) <=> v130(constB157, bitIndex2)),
% 15.80/11.04 inference(unit_resolution,[status(thm)],[22580, 413, 22577])).
% 15.80/11.04 tff(22582,plain,
% 15.80/11.04 (((~![VarCurr: $i] : ((~v120(VarCurr)) | ![B: $i] : ((~less_3(B)) | (v130(VarCurr, B) <=> b010(B))))) | ((~v120(constB157)) | ![B: $i] : ((~less_3(B)) | (v130(constB157, B) <=> b010(B))))) <=> ((~![VarCurr: $i] : ((~v120(VarCurr)) | ![B: $i] : ((~less_3(B)) | (v130(VarCurr, B) <=> b010(B))))) | (~v120(constB157)) | ![B: $i] : ((~less_3(B)) | (v130(constB157, B) <=> b010(B))))),
% 15.80/11.04 inference(rewrite,[status(thm)],[])).
% 15.80/11.04 tff(22583,plain,
% 15.80/11.04 ((~![VarCurr: $i] : ((~v120(VarCurr)) | ![B: $i] : ((~less_3(B)) | (v130(VarCurr, B) <=> b010(B))))) | ((~v120(constB157)) | ![B: $i] : ((~less_3(B)) | (v130(constB157, B) <=> b010(B))))),
% 15.80/11.04 inference(quant_inst,[status(thm)],[])).
% 15.80/11.04 tff(22584,plain,
% 15.80/11.04 ((~![VarCurr: $i] : ((~v120(VarCurr)) | ![B: $i] : ((~less_3(B)) | (v130(VarCurr, B) <=> b010(B))))) | (~v120(constB157)) | ![B: $i] : ((~less_3(B)) | (v130(constB157, B) <=> b010(B)))),
% 15.80/11.04 inference(modus_ponens,[status(thm)],[22583, 22582])).
% 15.80/11.04 tff(22585,plain,
% 15.80/11.04 ((~v120(constB157)) | ![B: $i] : ((~less_3(B)) | (v130(constB157, B) <=> b010(B)))),
% 15.80/11.04 inference(unit_resolution,[status(thm)],[22584, 5797])).
% 15.80/11.04 tff(22586,plain,
% 15.80/11.04 (![B: $i] : ((~less_3(B)) | (v130(constB157, B) <=> b010(B)))),
% 15.80/11.04 inference(unit_resolution,[status(thm)],[22585, 22505])).
% 15.80/11.04 tff(22587,plain,
% 15.80/11.04 (((~![B: $i] : ((~less_3(B)) | (v130(constB157, B) <=> b010(B)))) | ((~less_3(bitIndex2)) | (v130(constB157, bitIndex2) <=> b010(bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v130(constB157, B) <=> b010(B)))) | (~less_3(bitIndex2)) | (v130(constB157, bitIndex2) <=> b010(bitIndex2)))),
% 15.80/11.04 inference(rewrite,[status(thm)],[])).
% 15.80/11.04 tff(22588,plain,
% 15.80/11.04 ((~![B: $i] : ((~less_3(B)) | (v130(constB157, B) <=> b010(B)))) | ((~less_3(bitIndex2)) | (v130(constB157, bitIndex2) <=> b010(bitIndex2)))),
% 15.80/11.04 inference(quant_inst,[status(thm)],[])).
% 15.80/11.04 tff(22589,plain,
% 15.80/11.04 ((~![B: $i] : ((~less_3(B)) | (v130(constB157, B) <=> b010(B)))) | (~less_3(bitIndex2)) | (v130(constB157, bitIndex2) <=> b010(bitIndex2))),
% 15.80/11.04 inference(modus_ponens,[status(thm)],[22588, 22587])).
% 15.80/11.04 tff(22590,plain,
% 15.80/11.04 (v130(constB157, bitIndex2) <=> b010(bitIndex2)),
% 15.80/11.04 inference(unit_resolution,[status(thm)],[22589, 413, 22586])).
% 15.80/11.04 tff(22591,plain,
% 15.80/11.04 ((~(v130(constB157, bitIndex2) <=> b010(bitIndex2))) | (~v130(constB157, bitIndex2)) | b010(bitIndex2)),
% 15.80/11.04 inference(tautology,[status(thm)],[])).
% 15.80/11.04 tff(22592,plain,
% 15.80/11.04 ((~(v130(constB157, bitIndex2) <=> b010(bitIndex2))) | (~v130(constB157, bitIndex2))),
% 15.80/11.04 inference(unit_resolution,[status(thm)],[22591, 5809])).
% 15.80/11.04 tff(22593,plain,
% 15.80/11.04 (~v130(constB157, bitIndex2)),
% 15.80/11.04 inference(unit_resolution,[status(thm)],[22592, 22590])).
% 15.80/11.04 tff(22594,plain,
% 15.80/11.04 ((~(v127(constB157, bitIndex2) <=> v130(constB157, bitIndex2))) | (~v127(constB157, bitIndex2)) | v130(constB157, bitIndex2)),
% 15.80/11.04 inference(tautology,[status(thm)],[])).
% 15.80/11.04 tff(22595,plain,
% 15.80/11.04 (~v127(constB157, bitIndex2)),
% 15.80/11.04 inference(unit_resolution,[status(thm)],[22594, 22593, 22581])).
% 15.80/11.04 tff(22596,plain,
% 15.80/11.04 ((~(v129(constB158, bitIndex2) <=> v127(constB157, bitIndex2))) | (~v129(constB158, bitIndex2)) | v127(constB157, bitIndex2)),
% 15.80/11.04 inference(tautology,[status(thm)],[])).
% 15.80/11.04 tff(22597,plain,
% 15.80/11.04 (~v129(constB158, bitIndex2)),
% 15.80/11.04 inference(unit_resolution,[status(thm)],[22596, 22595, 22573])).
% 15.80/11.04 tff(22598,plain,
% 15.80/11.04 ((~(v90(constB158, bitIndex2) <=> v129(constB158, bitIndex2))) | (~v90(constB158, bitIndex2)) | v129(constB158, bitIndex2)),
% 15.80/11.04 inference(tautology,[status(thm)],[])).
% 15.80/11.04 tff(22599,plain,
% 15.80/11.04 (~v90(constB158, bitIndex2)),
% 15.80/11.04 inference(unit_resolution,[status(thm)],[22598, 22597, 22565])).
% 15.80/11.04 tff(22600,plain,
% 15.80/11.04 ((~(v90(constB159, bitIndex2) <=> v90(constB158, bitIndex2))) | (~v90(constB159, bitIndex2)) | v90(constB158, bitIndex2)),
% 15.80/11.04 inference(tautology,[status(thm)],[])).
% 15.80/11.04 tff(22601,plain,
% 15.80/11.04 (~v90(constB159, bitIndex2)),
% 15.80/11.04 inference(unit_resolution,[status(thm)],[22600, 22599, 21174])).
% 15.80/11.04 tff(22602,plain,
% 15.80/11.04 (((~![B: $i] : ((~less_3(B)) | (v90(constB159, B) <=> v90(constB158, B)))) | ((~less_3(bitIndex0)) | (v90(constB159, bitIndex0) <=> v90(constB158, bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v90(constB159, B) <=> v90(constB158, B)))) | (~less_3(bitIndex0)) | (v90(constB159, bitIndex0) <=> v90(constB158, bitIndex0)))),
% 15.80/11.04 inference(rewrite,[status(thm)],[])).
% 15.80/11.04 tff(22603,plain,
% 15.80/11.04 ((~![B: $i] : ((~less_3(B)) | (v90(constB159, B) <=> v90(constB158, B)))) | ((~less_3(bitIndex0)) | (v90(constB159, bitIndex0) <=> v90(constB158, bitIndex0)))),
% 15.80/11.04 inference(quant_inst,[status(thm)],[])).
% 15.80/11.04 tff(22604,plain,
% 15.80/11.04 ((~![B: $i] : ((~less_3(B)) | (v90(constB159, B) <=> v90(constB158, B)))) | (~less_3(bitIndex0)) | (v90(constB159, bitIndex0) <=> v90(constB158, bitIndex0))),
% 15.80/11.04 inference(modus_ponens,[status(thm)],[22603, 22602])).
% 15.80/11.04 tff(22605,plain,
% 15.80/11.04 (v90(constB159, bitIndex0) <=> v90(constB158, bitIndex0)),
% 15.80/11.04 inference(unit_resolution,[status(thm)],[22604, 5004, 21170])).
% 15.80/11.04 tff(22606,plain,
% 15.80/11.04 (((~![B: $i] : ((~less_3(B)) | (v90(constB158, B) <=> v129(constB158, B)))) | ((~less_3(bitIndex0)) | (v90(constB158, bitIndex0) <=> v129(constB158, bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v90(constB158, B) <=> v129(constB158, B)))) | (~less_3(bitIndex0)) | (v90(constB158, bitIndex0) <=> v129(constB158, bitIndex0)))),
% 15.80/11.04 inference(rewrite,[status(thm)],[])).
% 15.80/11.04 tff(22607,plain,
% 15.80/11.04 ((~![B: $i] : ((~less_3(B)) | (v90(constB158, B) <=> v129(constB158, B)))) | ((~less_3(bitIndex0)) | (v90(constB158, bitIndex0) <=> v129(constB158, bitIndex0)))),
% 15.80/11.04 inference(quant_inst,[status(thm)],[])).
% 15.80/11.04 tff(22608,plain,
% 15.80/11.04 ((~![B: $i] : ((~less_3(B)) | (v90(constB158, B) <=> v129(constB158, B)))) | (~less_3(bitIndex0)) | (v90(constB158, bitIndex0) <=> v129(constB158, bitIndex0))),
% 15.80/11.04 inference(modus_ponens,[status(thm)],[22607, 22606])).
% 15.80/11.04 tff(22609,plain,
% 15.80/11.04 (v90(constB158, bitIndex0) <=> v129(constB158, bitIndex0)),
% 15.80/11.04 inference(unit_resolution,[status(thm)],[22608, 5004, 22561])).
% 15.80/11.04 tff(22610,plain,
% 15.80/11.04 (((~![B: $i] : ((~less_3(B)) | (v129(constB158, B) <=> v127(constB157, B)))) | ((~less_3(bitIndex0)) | (v129(constB158, bitIndex0) <=> v127(constB157, bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v129(constB158, B) <=> v127(constB157, B)))) | (~less_3(bitIndex0)) | (v129(constB158, bitIndex0) <=> v127(constB157, bitIndex0)))),
% 15.80/11.04 inference(rewrite,[status(thm)],[])).
% 15.80/11.04 tff(22611,plain,
% 15.80/11.04 ((~![B: $i] : ((~less_3(B)) | (v129(constB158, B) <=> v127(constB157, B)))) | ((~less_3(bitIndex0)) | (v129(constB158, bitIndex0) <=> v127(constB157, bitIndex0)))),
% 15.80/11.04 inference(quant_inst,[status(thm)],[])).
% 15.80/11.04 tff(22612,plain,
% 15.80/11.04 ((~![B: $i] : ((~less_3(B)) | (v129(constB158, B) <=> v127(constB157, B)))) | (~less_3(bitIndex0)) | (v129(constB158, bitIndex0) <=> v127(constB157, bitIndex0))),
% 15.80/11.04 inference(modus_ponens,[status(thm)],[22611, 22610])).
% 15.80/11.04 tff(22613,plain,
% 15.80/11.04 (v129(constB158, bitIndex0) <=> v127(constB157, bitIndex0)),
% 15.80/11.04 inference(unit_resolution,[status(thm)],[22612, 5004, 22569])).
% 15.80/11.04 tff(22614,plain,
% 15.80/11.04 (((~![B: $i] : ((~less_3(B)) | (v127(constB157, B) <=> v130(constB157, B)))) | ((~less_3(bitIndex0)) | (v127(constB157, bitIndex0) <=> v130(constB157, bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v127(constB157, B) <=> v130(constB157, B)))) | (~less_3(bitIndex0)) | (v127(constB157, bitIndex0) <=> v130(constB157, bitIndex0)))),
% 15.80/11.04 inference(rewrite,[status(thm)],[])).
% 15.80/11.04 tff(22615,plain,
% 15.80/11.04 ((~![B: $i] : ((~less_3(B)) | (v127(constB157, B) <=> v130(constB157, B)))) | ((~less_3(bitIndex0)) | (v127(constB157, bitIndex0) <=> v130(constB157, bitIndex0)))),
% 15.80/11.04 inference(quant_inst,[status(thm)],[])).
% 15.80/11.04 tff(22616,plain,
% 15.80/11.04 ((~![B: $i] : ((~less_3(B)) | (v127(constB157, B) <=> v130(constB157, B)))) | (~less_3(bitIndex0)) | (v127(constB157, bitIndex0) <=> v130(constB157, bitIndex0))),
% 15.80/11.04 inference(modus_ponens,[status(thm)],[22615, 22614])).
% 15.80/11.04 tff(22617,plain,
% 15.80/11.04 (v127(constB157, bitIndex0) <=> v130(constB157, bitIndex0)),
% 15.80/11.04 inference(unit_resolution,[status(thm)],[22616, 5004, 22577])).
% 15.80/11.04 tff(22618,plain,
% 15.80/11.04 (((~![B: $i] : ((~less_3(B)) | (v130(constB157, B) <=> b010(B)))) | ((~less_3(bitIndex0)) | (v130(constB157, bitIndex0) <=> b010(bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v130(constB157, B) <=> b010(B)))) | (~less_3(bitIndex0)) | (v130(constB157, bitIndex0) <=> b010(bitIndex0)))),
% 15.80/11.04 inference(rewrite,[status(thm)],[])).
% 15.80/11.04 tff(22619,plain,
% 15.80/11.04 ((~![B: $i] : ((~less_3(B)) | (v130(constB157, B) <=> b010(B)))) | ((~less_3(bitIndex0)) | (v130(constB157, bitIndex0) <=> b010(bitIndex0)))),
% 15.80/11.04 inference(quant_inst,[status(thm)],[])).
% 15.80/11.04 tff(22620,plain,
% 15.80/11.04 ((~![B: $i] : ((~less_3(B)) | (v130(constB157, B) <=> b010(B)))) | (~less_3(bitIndex0)) | (v130(constB157, bitIndex0) <=> b010(bitIndex0))),
% 15.80/11.04 inference(modus_ponens,[status(thm)],[22619, 22618])).
% 15.80/11.04 tff(22621,plain,
% 15.80/11.04 (v130(constB157, bitIndex0) <=> b010(bitIndex0)),
% 15.80/11.04 inference(unit_resolution,[status(thm)],[22620, 5004, 22586])).
% 15.80/11.04 tff(22622,plain,
% 15.80/11.04 ((~(v130(constB157, bitIndex0) <=> b010(bitIndex0))) | (~v130(constB157, bitIndex0)) | b010(bitIndex0)),
% 15.80/11.04 inference(tautology,[status(thm)],[])).
% 15.80/11.04 tff(22623,plain,
% 15.80/11.04 ((~(v130(constB157, bitIndex0) <=> b010(bitIndex0))) | (~v130(constB157, bitIndex0))),
% 15.80/11.04 inference(unit_resolution,[status(thm)],[22622, 5843])).
% 15.80/11.04 tff(22624,plain,
% 15.80/11.04 (~v130(constB157, bitIndex0)),
% 15.80/11.04 inference(unit_resolution,[status(thm)],[22623, 22621])).
% 15.80/11.04 tff(22625,plain,
% 15.80/11.04 ((~(v127(constB157, bitIndex0) <=> v130(constB157, bitIndex0))) | (~v127(constB157, bitIndex0)) | v130(constB157, bitIndex0)),
% 15.80/11.04 inference(tautology,[status(thm)],[])).
% 15.80/11.04 tff(22626,plain,
% 15.80/11.04 (~v127(constB157, bitIndex0)),
% 15.80/11.04 inference(unit_resolution,[status(thm)],[22625, 22624, 22617])).
% 15.80/11.04 tff(22627,plain,
% 15.80/11.04 ((~(v129(constB158, bitIndex0) <=> v127(constB157, bitIndex0))) | (~v129(constB158, bitIndex0)) | v127(constB157, bitIndex0)),
% 15.80/11.04 inference(tautology,[status(thm)],[])).
% 15.80/11.04 tff(22628,plain,
% 15.80/11.04 (~v129(constB158, bitIndex0)),
% 15.80/11.04 inference(unit_resolution,[status(thm)],[22627, 22626, 22613])).
% 15.80/11.04 tff(22629,plain,
% 15.80/11.04 ((~(v90(constB158, bitIndex0) <=> v129(constB158, bitIndex0))) | (~v90(constB158, bitIndex0)) | v129(constB158, bitIndex0)),
% 15.80/11.04 inference(tautology,[status(thm)],[])).
% 15.80/11.04 tff(22630,plain,
% 15.80/11.04 (~v90(constB158, bitIndex0)),
% 15.80/11.04 inference(unit_resolution,[status(thm)],[22629, 22628, 22609])).
% 15.80/11.04 tff(22631,plain,
% 15.80/11.04 ((~(v90(constB159, bitIndex0) <=> v90(constB158, bitIndex0))) | (~v90(constB159, bitIndex0)) | v90(constB158, bitIndex0)),
% 15.80/11.04 inference(tautology,[status(thm)],[])).
% 15.80/11.04 tff(22632,plain,
% 15.80/11.04 (~v90(constB159, bitIndex0)),
% 15.80/11.04 inference(unit_resolution,[status(thm)],[22631, 22630, 22605])).
% 15.80/11.04 tff(22633,plain,
% 15.80/11.04 (((~![B: $i] : ((~less_3(B)) | (v90(constB159, B) <=> v90(constB158, B)))) | ((~less_3(bitIndex1)) | (v90(constB159, bitIndex1) <=> v90(constB158, bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v90(constB159, B) <=> v90(constB158, B)))) | (~less_3(bitIndex1)) | (v90(constB159, bitIndex1) <=> v90(constB158, bitIndex1)))),
% 15.80/11.04 inference(rewrite,[status(thm)],[])).
% 15.80/11.04 tff(22634,plain,
% 15.80/11.04 ((~![B: $i] : ((~less_3(B)) | (v90(constB159, B) <=> v90(constB158, B)))) | ((~less_3(bitIndex1)) | (v90(constB159, bitIndex1) <=> v90(constB158, bitIndex1)))),
% 15.80/11.04 inference(quant_inst,[status(thm)],[])).
% 15.80/11.04 tff(22635,plain,
% 15.80/11.04 ((~![B: $i] : ((~less_3(B)) | (v90(constB159, B) <=> v90(constB158, B)))) | (~less_3(bitIndex1)) | (v90(constB159, bitIndex1) <=> v90(constB158, bitIndex1))),
% 15.80/11.05 inference(modus_ponens,[status(thm)],[22634, 22633])).
% 15.80/11.05 tff(22636,plain,
% 15.80/11.05 (v90(constB159, bitIndex1) <=> v90(constB158, bitIndex1)),
% 15.80/11.05 inference(unit_resolution,[status(thm)],[22635, 5017, 21170])).
% 15.80/11.05 tff(22637,plain,
% 15.80/11.05 (((~![B: $i] : ((~less_3(B)) | (v90(constB158, B) <=> v129(constB158, B)))) | ((~less_3(bitIndex1)) | (v90(constB158, bitIndex1) <=> v129(constB158, bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v90(constB158, B) <=> v129(constB158, B)))) | (~less_3(bitIndex1)) | (v90(constB158, bitIndex1) <=> v129(constB158, bitIndex1)))),
% 15.80/11.05 inference(rewrite,[status(thm)],[])).
% 15.80/11.05 tff(22638,plain,
% 15.80/11.05 ((~![B: $i] : ((~less_3(B)) | (v90(constB158, B) <=> v129(constB158, B)))) | ((~less_3(bitIndex1)) | (v90(constB158, bitIndex1) <=> v129(constB158, bitIndex1)))),
% 15.80/11.05 inference(quant_inst,[status(thm)],[])).
% 15.80/11.05 tff(22639,plain,
% 15.80/11.05 ((~![B: $i] : ((~less_3(B)) | (v90(constB158, B) <=> v129(constB158, B)))) | (~less_3(bitIndex1)) | (v90(constB158, bitIndex1) <=> v129(constB158, bitIndex1))),
% 15.80/11.05 inference(modus_ponens,[status(thm)],[22638, 22637])).
% 15.80/11.05 tff(22640,plain,
% 15.80/11.05 (v90(constB158, bitIndex1) <=> v129(constB158, bitIndex1)),
% 15.80/11.05 inference(unit_resolution,[status(thm)],[22639, 5017, 22561])).
% 15.80/11.05 tff(22641,plain,
% 15.80/11.05 (((~![B: $i] : ((~less_3(B)) | (v129(constB158, B) <=> v127(constB157, B)))) | ((~less_3(bitIndex1)) | (v129(constB158, bitIndex1) <=> v127(constB157, bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v129(constB158, B) <=> v127(constB157, B)))) | (~less_3(bitIndex1)) | (v129(constB158, bitIndex1) <=> v127(constB157, bitIndex1)))),
% 15.80/11.05 inference(rewrite,[status(thm)],[])).
% 15.80/11.05 tff(22642,plain,
% 15.80/11.05 ((~![B: $i] : ((~less_3(B)) | (v129(constB158, B) <=> v127(constB157, B)))) | ((~less_3(bitIndex1)) | (v129(constB158, bitIndex1) <=> v127(constB157, bitIndex1)))),
% 15.80/11.05 inference(quant_inst,[status(thm)],[])).
% 15.80/11.05 tff(22643,plain,
% 15.80/11.05 ((~![B: $i] : ((~less_3(B)) | (v129(constB158, B) <=> v127(constB157, B)))) | (~less_3(bitIndex1)) | (v129(constB158, bitIndex1) <=> v127(constB157, bitIndex1))),
% 15.80/11.05 inference(modus_ponens,[status(thm)],[22642, 22641])).
% 15.80/11.05 tff(22644,plain,
% 15.80/11.05 (v129(constB158, bitIndex1) <=> v127(constB157, bitIndex1)),
% 15.80/11.05 inference(unit_resolution,[status(thm)],[22643, 5017, 22569])).
% 15.80/11.05 tff(22645,plain,
% 15.80/11.05 (((~![B: $i] : ((~less_3(B)) | (v127(constB157, B) <=> v130(constB157, B)))) | ((~less_3(bitIndex1)) | (v127(constB157, bitIndex1) <=> v130(constB157, bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v127(constB157, B) <=> v130(constB157, B)))) | (~less_3(bitIndex1)) | (v127(constB157, bitIndex1) <=> v130(constB157, bitIndex1)))),
% 15.80/11.05 inference(rewrite,[status(thm)],[])).
% 15.80/11.05 tff(22646,plain,
% 15.80/11.05 ((~![B: $i] : ((~less_3(B)) | (v127(constB157, B) <=> v130(constB157, B)))) | ((~less_3(bitIndex1)) | (v127(constB157, bitIndex1) <=> v130(constB157, bitIndex1)))),
% 15.80/11.05 inference(quant_inst,[status(thm)],[])).
% 15.80/11.05 tff(22647,plain,
% 15.80/11.05 ((~![B: $i] : ((~less_3(B)) | (v127(constB157, B) <=> v130(constB157, B)))) | (~less_3(bitIndex1)) | (v127(constB157, bitIndex1) <=> v130(constB157, bitIndex1))),
% 15.80/11.05 inference(modus_ponens,[status(thm)],[22646, 22645])).
% 15.80/11.05 tff(22648,plain,
% 15.80/11.05 (v127(constB157, bitIndex1) <=> v130(constB157, bitIndex1)),
% 15.80/11.05 inference(unit_resolution,[status(thm)],[22647, 5017, 22577])).
% 15.80/11.05 tff(22649,plain,
% 15.80/11.05 (((~![B: $i] : ((~less_3(B)) | (v130(constB157, B) <=> b010(B)))) | ((~less_3(bitIndex1)) | (v130(constB157, bitIndex1) <=> b010(bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v130(constB157, B) <=> b010(B)))) | (~less_3(bitIndex1)) | (v130(constB157, bitIndex1) <=> b010(bitIndex1)))),
% 15.80/11.05 inference(rewrite,[status(thm)],[])).
% 15.80/11.05 tff(22650,plain,
% 15.80/11.05 ((~![B: $i] : ((~less_3(B)) | (v130(constB157, B) <=> b010(B)))) | ((~less_3(bitIndex1)) | (v130(constB157, bitIndex1) <=> b010(bitIndex1)))),
% 15.80/11.05 inference(quant_inst,[status(thm)],[])).
% 15.80/11.05 tff(22651,plain,
% 15.80/11.05 ((~![B: $i] : ((~less_3(B)) | (v130(constB157, B) <=> b010(B)))) | (~less_3(bitIndex1)) | (v130(constB157, bitIndex1) <=> b010(bitIndex1))),
% 15.80/11.05 inference(modus_ponens,[status(thm)],[22650, 22649])).
% 15.80/11.05 tff(22652,plain,
% 15.80/11.05 (v130(constB157, bitIndex1) <=> b010(bitIndex1)),
% 15.80/11.05 inference(unit_resolution,[status(thm)],[22651, 5017, 22586])).
% 15.80/11.05 tff(22653,plain,
% 15.80/11.05 ((~(v130(constB157, bitIndex1) <=> b010(bitIndex1))) | v130(constB157, bitIndex1) | (~b010(bitIndex1))),
% 15.80/11.05 inference(tautology,[status(thm)],[])).
% 15.80/11.05 tff(22654,plain,
% 15.80/11.05 ((~(v130(constB157, bitIndex1) <=> b010(bitIndex1))) | v130(constB157, bitIndex1)),
% 15.80/11.05 inference(unit_resolution,[status(thm)],[22653, 5877])).
% 15.80/11.05 tff(22655,plain,
% 15.80/11.05 (v130(constB157, bitIndex1)),
% 15.80/11.05 inference(unit_resolution,[status(thm)],[22654, 22652])).
% 15.80/11.05 tff(22656,plain,
% 15.80/11.05 ((~(v127(constB157, bitIndex1) <=> v130(constB157, bitIndex1))) | v127(constB157, bitIndex1) | (~v130(constB157, bitIndex1))),
% 15.80/11.05 inference(tautology,[status(thm)],[])).
% 15.80/11.05 tff(22657,plain,
% 15.80/11.05 (v127(constB157, bitIndex1)),
% 15.80/11.05 inference(unit_resolution,[status(thm)],[22656, 22655, 22648])).
% 15.80/11.05 tff(22658,plain,
% 15.80/11.05 ((~(v129(constB158, bitIndex1) <=> v127(constB157, bitIndex1))) | v129(constB158, bitIndex1) | (~v127(constB157, bitIndex1))),
% 15.80/11.05 inference(tautology,[status(thm)],[])).
% 15.80/11.05 tff(22659,plain,
% 15.80/11.05 (v129(constB158, bitIndex1)),
% 15.80/11.05 inference(unit_resolution,[status(thm)],[22658, 22657, 22644])).
% 15.80/11.05 tff(22660,plain,
% 15.80/11.05 ((~(v90(constB158, bitIndex1) <=> v129(constB158, bitIndex1))) | v90(constB158, bitIndex1) | (~v129(constB158, bitIndex1))),
% 15.80/11.05 inference(tautology,[status(thm)],[])).
% 15.80/11.05 tff(22661,plain,
% 15.80/11.05 (v90(constB158, bitIndex1)),
% 15.80/11.05 inference(unit_resolution,[status(thm)],[22660, 22659, 22640])).
% 15.80/11.05 tff(22662,plain,
% 15.80/11.05 ((~(v90(constB159, bitIndex1) <=> v90(constB158, bitIndex1))) | v90(constB159, bitIndex1) | (~v90(constB158, bitIndex1))),
% 15.80/11.05 inference(tautology,[status(thm)],[])).
% 15.80/11.05 tff(22663,plain,
% 15.80/11.05 (v90(constB159, bitIndex1)),
% 15.80/11.05 inference(unit_resolution,[status(thm)],[22662, 22661, 22636])).
% 15.80/11.05 tff(22664,plain,
% 15.80/11.05 ((~(v90(constB159, bitIndex2) | (~v90(constB159, bitIndex1)) | v90(constB159, bitIndex0))) | v90(constB159, bitIndex2) | (~v90(constB159, bitIndex1)) | v90(constB159, bitIndex0)),
% 15.80/11.05 inference(tautology,[status(thm)],[])).
% 15.80/11.05 tff(22665,plain,
% 15.80/11.05 (~(v90(constB159, bitIndex2) | (~v90(constB159, bitIndex1)) | v90(constB159, bitIndex0))),
% 15.80/11.05 inference(unit_resolution,[status(thm)],[22664, 22663, 22632, 22601])).
% 15.80/11.05 tff(22666,plain,
% 15.80/11.05 ((~(v121(constB159) <=> (~(v90(constB159, bitIndex2) | (~v90(constB159, bitIndex1)) | v90(constB159, bitIndex0))))) | v121(constB159) | (v90(constB159, bitIndex2) | (~v90(constB159, bitIndex1)) | v90(constB159, bitIndex0))),
% 15.80/11.05 inference(tautology,[status(thm)],[])).
% 15.80/11.05 tff(22667,plain,
% 15.80/11.05 (v121(constB159)),
% 15.80/11.05 inference(unit_resolution,[status(thm)],[22666, 22665, 21142])).
% 15.80/11.05 tff(22668,plain,
% 15.80/11.05 ((v118(constB159) | v121(constB159)) | (~v121(constB159))),
% 15.80/11.05 inference(tautology,[status(thm)],[])).
% 15.80/11.05 tff(22669,plain,
% 15.80/11.05 (v118(constB159) | v121(constB159)),
% 15.80/11.05 inference(unit_resolution,[status(thm)],[22668, 22667])).
% 15.80/11.05 tff(22670,plain,
% 15.80/11.05 ((~(v117(constB159) <=> (v118(constB159) | v121(constB159)))) | v117(constB159) | (~(v118(constB159) | v121(constB159)))),
% 15.80/11.05 inference(tautology,[status(thm)],[])).
% 15.80/11.05 tff(22671,plain,
% 15.80/11.05 (v117(constB159)),
% 15.80/11.05 inference(unit_resolution,[status(thm)],[22670, 22669, 21135])).
% 15.80/11.05 tff(22672,plain,
% 15.80/11.05 ((v117(constB159) | v122(constB159)) | (~v117(constB159))),
% 15.80/11.05 inference(tautology,[status(thm)],[])).
% 15.80/11.05 tff(22673,plain,
% 15.80/11.05 (v117(constB159) | v122(constB159)),
% 15.80/11.05 inference(unit_resolution,[status(thm)],[22672, 22671])).
% 15.80/11.05 tff(22674,plain,
% 15.80/11.05 ((~(v116(constB159) <=> (v117(constB159) | v122(constB159)))) | v116(constB159) | (~(v117(constB159) | v122(constB159)))),
% 15.80/11.05 inference(tautology,[status(thm)],[])).
% 15.80/11.05 tff(22675,plain,
% 15.80/11.05 (v116(constB159)),
% 15.80/11.05 inference(unit_resolution,[status(thm)],[22674, 22673, 21133])).
% 15.80/11.05 tff(22676,plain,
% 15.80/11.05 ((v116(constB159) | v123(constB159)) | (~v116(constB159))),
% 15.80/11.05 inference(tautology,[status(thm)],[])).
% 15.80/11.05 tff(22677,plain,
% 15.80/11.05 (v116(constB159) | v123(constB159)),
% 15.80/11.05 inference(unit_resolution,[status(thm)],[22676, 22675])).
% 15.80/11.05 tff(22678,plain,
% 15.80/11.05 ((~(v115(constB159) <=> (v116(constB159) | v123(constB159)))) | v115(constB159) | (~(v116(constB159) | v123(constB159)))),
% 15.80/11.05 inference(tautology,[status(thm)],[])).
% 15.80/11.05 tff(22679,plain,
% 15.80/11.05 (v115(constB159)),
% 15.80/11.05 inference(unit_resolution,[status(thm)],[22678, 22677, 21131])).
% 15.80/11.05 tff(22680,plain,
% 15.80/11.05 ((v115(constB159) | v124(constB159)) | (~v115(constB159))),
% 15.80/11.05 inference(tautology,[status(thm)],[])).
% 15.80/11.05 tff(22681,plain,
% 15.80/11.05 (v115(constB159) | v124(constB159)),
% 15.80/11.05 inference(unit_resolution,[status(thm)],[22680, 22679])).
% 15.80/11.05 tff(22682,plain,
% 15.80/11.05 ((~(v114(constB159) <=> (v115(constB159) | v124(constB159)))) | v114(constB159) | (~(v115(constB159) | v124(constB159)))),
% 15.80/11.05 inference(tautology,[status(thm)],[])).
% 15.80/11.05 tff(22683,plain,
% 15.80/11.05 (v114(constB159)),
% 15.80/11.05 inference(unit_resolution,[status(thm)],[22682, 22681, 21129])).
% 15.80/11.05 tff(22684,plain,
% 15.80/11.05 ((v114(constB159) | v125(constB159)) | (~v114(constB159))),
% 15.80/11.05 inference(tautology,[status(thm)],[])).
% 15.80/11.05 tff(22685,plain,
% 15.80/11.05 (v114(constB159) | v125(constB159)),
% 15.80/11.05 inference(unit_resolution,[status(thm)],[22684, 22683])).
% 15.80/11.05 tff(22686,plain,
% 15.80/11.05 ((~(v113(constB159) <=> (v114(constB159) | v125(constB159)))) | v113(constB159) | (~(v114(constB159) | v125(constB159)))),
% 15.80/11.05 inference(tautology,[status(thm)],[])).
% 15.80/11.05 tff(22687,plain,
% 15.80/11.05 (v113(constB159)),
% 15.80/11.05 inference(unit_resolution,[status(thm)],[22686, 22685, 21127])).
% 15.80/11.05 tff(22688,plain,
% 15.80/11.05 ((~![VarCurr: $i] : ((~v126(VarCurr)) <=> v111(VarCurr))) | ((~v126(constB159)) <=> v111(constB159))),
% 15.80/11.05 inference(quant_inst,[status(thm)],[])).
% 15.80/11.05 tff(22689,plain,
% 15.80/11.05 ((~v126(constB159)) <=> v111(constB159)),
% 15.80/11.05 inference(unit_resolution,[status(thm)],[22688, 5074])).
% 15.80/11.05 tff(22690,plain,
% 15.80/11.05 ((~![VarCurr: $i] : (v111(VarCurr) <=> v26(VarCurr))) | (v111(constB159) <=> v26(constB159))),
% 15.80/11.05 inference(quant_inst,[status(thm)],[])).
% 15.80/11.05 tff(22691,plain,
% 15.80/11.05 (v111(constB159) <=> v26(constB159)),
% 15.80/11.05 inference(unit_resolution,[status(thm)],[22690, 5086])).
% 15.80/11.05 tff(22692,plain,
% 15.80/11.05 ((~![VarCurr: $i] : (~v26(VarCurr))) | (~v26(constB159))),
% 15.80/11.05 inference(quant_inst,[status(thm)],[])).
% 15.80/11.05 tff(22693,plain,
% 15.80/11.05 (~v26(constB159)),
% 15.80/11.05 inference(unit_resolution,[status(thm)],[22692, 5098])).
% 15.80/11.05 tff(22694,plain,
% 15.80/11.05 ((~(v111(constB159) <=> v26(constB159))) | (~v111(constB159)) | v26(constB159)),
% 15.80/11.05 inference(tautology,[status(thm)],[])).
% 15.80/11.05 tff(22695,plain,
% 15.80/11.05 ((~(v111(constB159) <=> v26(constB159))) | (~v111(constB159))),
% 15.80/11.05 inference(unit_resolution,[status(thm)],[22694, 22693])).
% 15.80/11.05 tff(22696,plain,
% 15.80/11.05 (~v111(constB159)),
% 15.80/11.05 inference(unit_resolution,[status(thm)],[22695, 22691])).
% 15.80/11.05 tff(22697,plain,
% 15.80/11.05 ((~((~v126(constB159)) <=> v111(constB159))) | v126(constB159) | v111(constB159)),
% 15.80/11.05 inference(tautology,[status(thm)],[])).
% 15.80/11.05 tff(22698,plain,
% 15.80/11.05 ((~((~v126(constB159)) <=> v111(constB159))) | v126(constB159)),
% 15.80/11.05 inference(unit_resolution,[status(thm)],[22697, 22696])).
% 15.80/11.05 tff(22699,plain,
% 15.80/11.05 (v126(constB159)),
% 15.80/11.05 inference(unit_resolution,[status(thm)],[22698, 22689])).
% 15.80/11.05 tff(22700,plain,
% 15.80/11.05 ((~((~v113(constB159)) | (~v126(constB159)))) | (~v113(constB159)) | (~v126(constB159))),
% 15.80/11.05 inference(tautology,[status(thm)],[])).
% 15.80/11.05 tff(22701,plain,
% 15.80/11.05 ((~((~v113(constB159)) | (~v126(constB159)))) | (~v113(constB159))),
% 15.80/11.05 inference(unit_resolution,[status(thm)],[22700, 22699])).
% 15.80/11.05 tff(22702,plain,
% 15.80/11.05 (~((~v113(constB159)) | (~v126(constB159)))),
% 15.80/11.05 inference(unit_resolution,[status(thm)],[22701, 22687])).
% 15.80/11.05 tff(22703,plain,
% 15.80/11.05 ((~(v112(constB159) <=> (~((~v113(constB159)) | (~v126(constB159)))))) | v112(constB159) | ((~v113(constB159)) | (~v126(constB159)))),
% 15.80/11.05 inference(tautology,[status(thm)],[])).
% 15.80/11.05 tff(22704,plain,
% 15.80/11.05 (v112(constB159)),
% 15.80/11.05 inference(unit_resolution,[status(thm)],[22703, 22702, 21125])).
% 15.80/11.05 tff(22705,plain,
% 15.80/11.05 ((v111(constB159) | v112(constB159)) | (~v112(constB159))),
% 15.80/11.05 inference(tautology,[status(thm)],[])).
% 15.80/11.05 tff(22706,plain,
% 15.80/11.05 (v111(constB159) | v112(constB159)),
% 15.80/11.05 inference(unit_resolution,[status(thm)],[22705, 22704])).
% 15.80/11.05 tff(22707,plain,
% 15.80/11.05 ((~(v108(constB159) <=> (v111(constB159) | v112(constB159)))) | v108(constB159) | (~(v111(constB159) | v112(constB159)))),
% 15.80/11.05 inference(tautology,[status(thm)],[])).
% 15.80/11.05 tff(22708,plain,
% 15.80/11.05 (v108(constB159)),
% 15.80/11.05 inference(unit_resolution,[status(thm)],[22707, 22706, 21123])).
% 15.80/11.05 tff(22709,plain,
% 15.80/11.05 ((~(v110(constB160) <=> v108(constB159))) | v110(constB160) | (~v108(constB159))),
% 15.80/11.05 inference(tautology,[status(thm)],[])).
% 15.80/11.05 tff(22710,plain,
% 15.80/11.05 (v110(constB160)),
% 15.80/11.05 inference(unit_resolution,[status(thm)],[22709, 22708, 21121])).
% 15.80/11.05 tff(22711,plain,
% 15.80/11.05 ((~((~v101(constB160)) | (~v110(constB160)))) | (~v101(constB160)) | (~v110(constB160))),
% 15.80/11.05 inference(tautology,[status(thm)],[])).
% 15.80/11.05 tff(22712,plain,
% 15.80/11.05 (~((~v101(constB160)) | (~v110(constB160)))),
% 15.80/11.05 inference(unit_resolution,[status(thm)],[22711, 22710, 21117])).
% 15.80/11.05 tff(22713,plain,
% 15.80/11.05 ((~(v100(constB160) <=> (~((~v101(constB160)) | (~v110(constB160)))))) | v100(constB160) | ((~v101(constB160)) | (~v110(constB160)))),
% 15.80/11.05 inference(tautology,[status(thm)],[])).
% 15.80/11.05 tff(22714,plain,
% 15.80/11.05 (v100(constB160)),
% 15.80/11.05 inference(unit_resolution,[status(thm)],[22713, 22712, 21086])).
% 15.80/11.05 tff(22715,plain,
% 15.80/11.05 (((~![VarNext: $i] : ((~v100(VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v129(VarNext, B))))) | ((~v100(constB160)) | ![B: $i] : ((~less_3(B)) | (v90(constB160, B) <=> v129(constB160, B))))) <=> ((~![VarNext: $i] : ((~v100(VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v129(VarNext, B))))) | (~v100(constB160)) | ![B: $i] : ((~less_3(B)) | (v90(constB160, B) <=> v129(constB160, B))))),
% 15.80/11.05 inference(rewrite,[status(thm)],[])).
% 15.80/11.05 tff(22716,plain,
% 15.80/11.05 ((~![VarNext: $i] : ((~v100(VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v129(VarNext, B))))) | ((~v100(constB160)) | ![B: $i] : ((~less_3(B)) | (v90(constB160, B) <=> v129(constB160, B))))),
% 15.80/11.05 inference(quant_inst,[status(thm)],[])).
% 15.80/11.05 tff(22717,plain,
% 15.80/11.05 ((~![VarNext: $i] : ((~v100(VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v129(VarNext, B))))) | (~v100(constB160)) | ![B: $i] : ((~less_3(B)) | (v90(constB160, B) <=> v129(constB160, B)))),
% 15.80/11.05 inference(modus_ponens,[status(thm)],[22716, 22715])).
% 15.80/11.05 tff(22718,plain,
% 15.80/11.05 ((~v100(constB160)) | ![B: $i] : ((~less_3(B)) | (v90(constB160, B) <=> v129(constB160, B)))),
% 15.80/11.05 inference(unit_resolution,[status(thm)],[22717, 5134])).
% 15.80/11.05 tff(22719,plain,
% 15.80/11.05 (![B: $i] : ((~less_3(B)) | (v90(constB160, B) <=> v129(constB160, B)))),
% 15.80/11.05 inference(unit_resolution,[status(thm)],[22718, 22714])).
% 15.80/11.05 tff(22720,plain,
% 15.80/11.05 (((~![B: $i] : ((~less_3(B)) | (v90(constB160, B) <=> v129(constB160, B)))) | ((~less_3(bitIndex2)) | (v90(constB160, bitIndex2) <=> v129(constB160, bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v90(constB160, B) <=> v129(constB160, B)))) | (~less_3(bitIndex2)) | (v90(constB160, bitIndex2) <=> v129(constB160, bitIndex2)))),
% 15.80/11.05 inference(rewrite,[status(thm)],[])).
% 15.80/11.05 tff(22721,plain,
% 15.80/11.05 ((~![B: $i] : ((~less_3(B)) | (v90(constB160, B) <=> v129(constB160, B)))) | ((~less_3(bitIndex2)) | (v90(constB160, bitIndex2) <=> v129(constB160, bitIndex2)))),
% 15.80/11.05 inference(quant_inst,[status(thm)],[])).
% 15.80/11.05 tff(22722,plain,
% 15.80/11.05 ((~![B: $i] : ((~less_3(B)) | (v90(constB160, B) <=> v129(constB160, B)))) | (~less_3(bitIndex2)) | (v90(constB160, bitIndex2) <=> v129(constB160, bitIndex2))),
% 15.80/11.05 inference(modus_ponens,[status(thm)],[22721, 22720])).
% 15.80/11.05 tff(22723,plain,
% 15.80/11.05 (v90(constB160, bitIndex2) <=> v129(constB160, bitIndex2)),
% 15.80/11.05 inference(unit_resolution,[status(thm)],[22722, 413, 22719])).
% 15.80/11.05 tff(22724,plain,
% 15.80/11.05 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v129(VarNext, B) <=> v127(VarCurr, B))))) | ((~nextState(constB159, constB160)) | ![B: $i] : ((~less_3(B)) | (v129(constB160, B) <=> v127(constB159, B))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v129(VarNext, B) <=> v127(VarCurr, B))))) | (~nextState(constB159, constB160)) | ![B: $i] : ((~less_3(B)) | (v129(constB160, B) <=> v127(constB159, B))))),
% 15.80/11.05 inference(rewrite,[status(thm)],[])).
% 15.80/11.05 tff(22725,plain,
% 15.80/11.05 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v129(VarNext, B) <=> v127(VarCurr, B))))) | ((~nextState(constB159, constB160)) | ![B: $i] : ((~less_3(B)) | (v129(constB160, B) <=> v127(constB159, B))))),
% 15.80/11.06 inference(quant_inst,[status(thm)],[])).
% 15.80/11.06 tff(22726,plain,
% 15.80/11.06 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v129(VarNext, B) <=> v127(VarCurr, B))))) | (~nextState(constB159, constB160)) | ![B: $i] : ((~less_3(B)) | (v129(constB160, B) <=> v127(constB159, B)))),
% 15.80/11.06 inference(modus_ponens,[status(thm)],[22725, 22724])).
% 15.80/11.06 tff(22727,plain,
% 15.80/11.06 (![B: $i] : ((~less_3(B)) | (v129(constB160, B) <=> v127(constB159, B)))),
% 15.80/11.06 inference(unit_resolution,[status(thm)],[22726, 21082, 5156])).
% 15.80/11.06 tff(22728,plain,
% 15.80/11.06 (((~![B: $i] : ((~less_3(B)) | (v129(constB160, B) <=> v127(constB159, B)))) | ((~less_3(bitIndex2)) | (v129(constB160, bitIndex2) <=> v127(constB159, bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v129(constB160, B) <=> v127(constB159, B)))) | (~less_3(bitIndex2)) | (v129(constB160, bitIndex2) <=> v127(constB159, bitIndex2)))),
% 15.80/11.06 inference(rewrite,[status(thm)],[])).
% 15.80/11.06 tff(22729,plain,
% 15.80/11.06 ((~![B: $i] : ((~less_3(B)) | (v129(constB160, B) <=> v127(constB159, B)))) | ((~less_3(bitIndex2)) | (v129(constB160, bitIndex2) <=> v127(constB159, bitIndex2)))),
% 15.80/11.06 inference(quant_inst,[status(thm)],[])).
% 15.80/11.06 tff(22730,plain,
% 15.80/11.06 ((~![B: $i] : ((~less_3(B)) | (v129(constB160, B) <=> v127(constB159, B)))) | (~less_3(bitIndex2)) | (v129(constB160, bitIndex2) <=> v127(constB159, bitIndex2))),
% 15.80/11.06 inference(modus_ponens,[status(thm)],[22729, 22728])).
% 15.80/11.06 tff(22731,plain,
% 15.80/11.06 (v129(constB160, bitIndex2) <=> v127(constB159, bitIndex2)),
% 15.80/11.06 inference(unit_resolution,[status(thm)],[22730, 413, 22727])).
% 15.80/11.06 tff(22732,plain,
% 15.80/11.06 (((~![VarCurr: $i] : (v111(VarCurr) | ![B: $i] : ((~less_3(B)) | (v127(VarCurr, B) <=> v130(VarCurr, B))))) | (v111(constB159) | ![B: $i] : ((~less_3(B)) | (v127(constB159, B) <=> v130(constB159, B))))) <=> ((~![VarCurr: $i] : (v111(VarCurr) | ![B: $i] : ((~less_3(B)) | (v127(VarCurr, B) <=> v130(VarCurr, B))))) | v111(constB159) | ![B: $i] : ((~less_3(B)) | (v127(constB159, B) <=> v130(constB159, B))))),
% 15.80/11.06 inference(rewrite,[status(thm)],[])).
% 15.80/11.06 tff(22733,plain,
% 15.80/11.06 ((~![VarCurr: $i] : (v111(VarCurr) | ![B: $i] : ((~less_3(B)) | (v127(VarCurr, B) <=> v130(VarCurr, B))))) | (v111(constB159) | ![B: $i] : ((~less_3(B)) | (v127(constB159, B) <=> v130(constB159, B))))),
% 15.80/11.06 inference(quant_inst,[status(thm)],[])).
% 15.80/11.06 tff(22734,plain,
% 15.80/11.06 ((~![VarCurr: $i] : (v111(VarCurr) | ![B: $i] : ((~less_3(B)) | (v127(VarCurr, B) <=> v130(VarCurr, B))))) | v111(constB159) | ![B: $i] : ((~less_3(B)) | (v127(constB159, B) <=> v130(constB159, B)))),
% 15.80/11.06 inference(modus_ponens,[status(thm)],[22733, 22732])).
% 15.80/11.06 tff(22735,plain,
% 15.80/11.06 (![B: $i] : ((~less_3(B)) | (v127(constB159, B) <=> v130(constB159, B)))),
% 15.80/11.06 inference(unit_resolution,[status(thm)],[22734, 5177, 22696])).
% 15.80/11.06 tff(22736,plain,
% 15.80/11.06 (((~![B: $i] : ((~less_3(B)) | (v127(constB159, B) <=> v130(constB159, B)))) | ((~less_3(bitIndex2)) | (v127(constB159, bitIndex2) <=> v130(constB159, bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v127(constB159, B) <=> v130(constB159, B)))) | (~less_3(bitIndex2)) | (v127(constB159, bitIndex2) <=> v130(constB159, bitIndex2)))),
% 15.80/11.06 inference(rewrite,[status(thm)],[])).
% 15.80/11.06 tff(22737,plain,
% 15.80/11.06 ((~![B: $i] : ((~less_3(B)) | (v127(constB159, B) <=> v130(constB159, B)))) | ((~less_3(bitIndex2)) | (v127(constB159, bitIndex2) <=> v130(constB159, bitIndex2)))),
% 15.80/11.06 inference(quant_inst,[status(thm)],[])).
% 15.80/11.06 tff(22738,plain,
% 15.80/11.06 ((~![B: $i] : ((~less_3(B)) | (v127(constB159, B) <=> v130(constB159, B)))) | (~less_3(bitIndex2)) | (v127(constB159, bitIndex2) <=> v130(constB159, bitIndex2))),
% 15.80/11.06 inference(modus_ponens,[status(thm)],[22737, 22736])).
% 15.80/11.06 tff(22739,plain,
% 15.80/11.06 (v127(constB159, bitIndex2) <=> v130(constB159, bitIndex2)),
% 15.80/11.06 inference(unit_resolution,[status(thm)],[22738, 413, 22735])).
% 15.80/11.06 tff(22740,plain,
% 15.80/11.06 (((~![VarCurr: $i] : ((~v121(VarCurr)) | ![B: $i] : ((~less_3(B)) | (v130(VarCurr, B) <=> b011(B))))) | ((~v121(constB159)) | ![B: $i] : ((~less_3(B)) | (v130(constB159, B) <=> b011(B))))) <=> ((~![VarCurr: $i] : ((~v121(VarCurr)) | ![B: $i] : ((~less_3(B)) | (v130(VarCurr, B) <=> b011(B))))) | (~v121(constB159)) | ![B: $i] : ((~less_3(B)) | (v130(constB159, B) <=> b011(B))))),
% 15.80/11.06 inference(rewrite,[status(thm)],[])).
% 15.80/11.06 tff(22741,plain,
% 15.80/11.06 ((~![VarCurr: $i] : ((~v121(VarCurr)) | ![B: $i] : ((~less_3(B)) | (v130(VarCurr, B) <=> b011(B))))) | ((~v121(constB159)) | ![B: $i] : ((~less_3(B)) | (v130(constB159, B) <=> b011(B))))),
% 15.80/11.06 inference(quant_inst,[status(thm)],[])).
% 15.80/11.06 tff(22742,plain,
% 15.80/11.06 ((~![VarCurr: $i] : ((~v121(VarCurr)) | ![B: $i] : ((~less_3(B)) | (v130(VarCurr, B) <=> b011(B))))) | (~v121(constB159)) | ![B: $i] : ((~less_3(B)) | (v130(constB159, B) <=> b011(B)))),
% 15.80/11.06 inference(modus_ponens,[status(thm)],[22741, 22740])).
% 15.80/11.06 tff(22743,plain,
% 15.80/11.06 ((~v121(constB159)) | ![B: $i] : ((~less_3(B)) | (v130(constB159, B) <=> b011(B)))),
% 15.80/11.06 inference(unit_resolution,[status(thm)],[22742, 5977])).
% 15.80/11.06 tff(22744,plain,
% 15.80/11.06 (![B: $i] : ((~less_3(B)) | (v130(constB159, B) <=> b011(B)))),
% 15.80/11.06 inference(unit_resolution,[status(thm)],[22743, 22667])).
% 15.80/11.06 tff(22745,plain,
% 15.80/11.06 (((~![B: $i] : ((~less_3(B)) | (v130(constB159, B) <=> b011(B)))) | ((~less_3(bitIndex2)) | (v130(constB159, bitIndex2) <=> b011(bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v130(constB159, B) <=> b011(B)))) | (~less_3(bitIndex2)) | (v130(constB159, bitIndex2) <=> b011(bitIndex2)))),
% 15.80/11.06 inference(rewrite,[status(thm)],[])).
% 15.80/11.06 tff(22746,plain,
% 15.80/11.06 ((~![B: $i] : ((~less_3(B)) | (v130(constB159, B) <=> b011(B)))) | ((~less_3(bitIndex2)) | (v130(constB159, bitIndex2) <=> b011(bitIndex2)))),
% 15.80/11.06 inference(quant_inst,[status(thm)],[])).
% 15.80/11.06 tff(22747,plain,
% 15.80/11.06 ((~![B: $i] : ((~less_3(B)) | (v130(constB159, B) <=> b011(B)))) | (~less_3(bitIndex2)) | (v130(constB159, bitIndex2) <=> b011(bitIndex2))),
% 15.80/11.06 inference(modus_ponens,[status(thm)],[22746, 22745])).
% 15.80/11.06 tff(22748,plain,
% 15.80/11.06 (v130(constB159, bitIndex2) <=> b011(bitIndex2)),
% 15.80/11.06 inference(unit_resolution,[status(thm)],[22747, 413, 22744])).
% 15.80/11.06 tff(22749,plain,
% 15.80/11.06 ((~(v130(constB159, bitIndex2) <=> b011(bitIndex2))) | (~v130(constB159, bitIndex2)) | b011(bitIndex2)),
% 15.80/11.06 inference(tautology,[status(thm)],[])).
% 15.80/11.06 tff(22750,plain,
% 15.80/11.06 ((~(v130(constB159, bitIndex2) <=> b011(bitIndex2))) | (~v130(constB159, bitIndex2))),
% 15.80/11.06 inference(unit_resolution,[status(thm)],[22749, 5989])).
% 15.80/11.06 tff(22751,plain,
% 15.80/11.06 (~v130(constB159, bitIndex2)),
% 15.80/11.06 inference(unit_resolution,[status(thm)],[22750, 22748])).
% 15.80/11.06 tff(22752,plain,
% 15.80/11.06 ((~(v127(constB159, bitIndex2) <=> v130(constB159, bitIndex2))) | (~v127(constB159, bitIndex2)) | v130(constB159, bitIndex2)),
% 15.80/11.06 inference(tautology,[status(thm)],[])).
% 15.80/11.06 tff(22753,plain,
% 15.80/11.06 (~v127(constB159, bitIndex2)),
% 15.80/11.06 inference(unit_resolution,[status(thm)],[22752, 22751, 22739])).
% 15.80/11.06 tff(22754,plain,
% 15.80/11.06 ((~(v129(constB160, bitIndex2) <=> v127(constB159, bitIndex2))) | (~v129(constB160, bitIndex2)) | v127(constB159, bitIndex2)),
% 15.80/11.06 inference(tautology,[status(thm)],[])).
% 15.80/11.06 tff(22755,plain,
% 15.80/11.06 (~v129(constB160, bitIndex2)),
% 15.80/11.06 inference(unit_resolution,[status(thm)],[22754, 22753, 22731])).
% 15.80/11.06 tff(22756,plain,
% 15.80/11.06 ((~(v90(constB160, bitIndex2) <=> v129(constB160, bitIndex2))) | (~v90(constB160, bitIndex2)) | v129(constB160, bitIndex2)),
% 15.80/11.06 inference(tautology,[status(thm)],[])).
% 15.80/11.06 tff(22757,plain,
% 15.80/11.06 (~v90(constB160, bitIndex2)),
% 15.80/11.06 inference(unit_resolution,[status(thm)],[22756, 22755, 22723])).
% 15.80/11.06 tff(22758,plain,
% 15.80/11.06 ((~(v90(constB161, bitIndex2) <=> v90(constB160, bitIndex2))) | (~v90(constB161, bitIndex2)) | v90(constB160, bitIndex2)),
% 15.80/11.06 inference(tautology,[status(thm)],[])).
% 15.80/11.06 tff(22759,plain,
% 15.80/11.06 (~v90(constB161, bitIndex2)),
% 15.80/11.06 inference(unit_resolution,[status(thm)],[22758, 22757, 21079])).
% 15.80/11.06 tff(22760,plain,
% 15.80/11.06 (((~![B: $i] : ((~less_3(B)) | (v90(constB161, B) <=> v90(constB160, B)))) | ((~less_3(bitIndex0)) | (v90(constB161, bitIndex0) <=> v90(constB160, bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v90(constB161, B) <=> v90(constB160, B)))) | (~less_3(bitIndex0)) | (v90(constB161, bitIndex0) <=> v90(constB160, bitIndex0)))),
% 15.80/11.06 inference(rewrite,[status(thm)],[])).
% 15.80/11.06 tff(22761,plain,
% 15.80/11.06 ((~![B: $i] : ((~less_3(B)) | (v90(constB161, B) <=> v90(constB160, B)))) | ((~less_3(bitIndex0)) | (v90(constB161, bitIndex0) <=> v90(constB160, bitIndex0)))),
% 15.80/11.06 inference(quant_inst,[status(thm)],[])).
% 15.80/11.06 tff(22762,plain,
% 15.80/11.06 ((~![B: $i] : ((~less_3(B)) | (v90(constB161, B) <=> v90(constB160, B)))) | (~less_3(bitIndex0)) | (v90(constB161, bitIndex0) <=> v90(constB160, bitIndex0))),
% 15.80/11.06 inference(modus_ponens,[status(thm)],[22761, 22760])).
% 15.80/11.06 tff(22763,plain,
% 15.80/11.06 (v90(constB161, bitIndex0) <=> v90(constB160, bitIndex0)),
% 15.80/11.06 inference(unit_resolution,[status(thm)],[22762, 5004, 21075])).
% 15.80/11.06 tff(22764,plain,
% 15.80/11.06 (((~![B: $i] : ((~less_3(B)) | (v90(constB160, B) <=> v129(constB160, B)))) | ((~less_3(bitIndex0)) | (v90(constB160, bitIndex0) <=> v129(constB160, bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v90(constB160, B) <=> v129(constB160, B)))) | (~less_3(bitIndex0)) | (v90(constB160, bitIndex0) <=> v129(constB160, bitIndex0)))),
% 15.80/11.06 inference(rewrite,[status(thm)],[])).
% 15.80/11.06 tff(22765,plain,
% 15.80/11.06 ((~![B: $i] : ((~less_3(B)) | (v90(constB160, B) <=> v129(constB160, B)))) | ((~less_3(bitIndex0)) | (v90(constB160, bitIndex0) <=> v129(constB160, bitIndex0)))),
% 15.80/11.06 inference(quant_inst,[status(thm)],[])).
% 15.80/11.06 tff(22766,plain,
% 15.80/11.06 ((~![B: $i] : ((~less_3(B)) | (v90(constB160, B) <=> v129(constB160, B)))) | (~less_3(bitIndex0)) | (v90(constB160, bitIndex0) <=> v129(constB160, bitIndex0))),
% 15.80/11.06 inference(modus_ponens,[status(thm)],[22765, 22764])).
% 15.80/11.06 tff(22767,plain,
% 15.80/11.06 (v90(constB160, bitIndex0) <=> v129(constB160, bitIndex0)),
% 15.80/11.06 inference(unit_resolution,[status(thm)],[22766, 5004, 22719])).
% 15.80/11.06 tff(22768,plain,
% 15.80/11.06 (((~![B: $i] : ((~less_3(B)) | (v129(constB160, B) <=> v127(constB159, B)))) | ((~less_3(bitIndex0)) | (v129(constB160, bitIndex0) <=> v127(constB159, bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v129(constB160, B) <=> v127(constB159, B)))) | (~less_3(bitIndex0)) | (v129(constB160, bitIndex0) <=> v127(constB159, bitIndex0)))),
% 15.80/11.06 inference(rewrite,[status(thm)],[])).
% 15.80/11.06 tff(22769,plain,
% 15.80/11.06 ((~![B: $i] : ((~less_3(B)) | (v129(constB160, B) <=> v127(constB159, B)))) | ((~less_3(bitIndex0)) | (v129(constB160, bitIndex0) <=> v127(constB159, bitIndex0)))),
% 15.80/11.06 inference(quant_inst,[status(thm)],[])).
% 15.80/11.06 tff(22770,plain,
% 15.80/11.06 ((~![B: $i] : ((~less_3(B)) | (v129(constB160, B) <=> v127(constB159, B)))) | (~less_3(bitIndex0)) | (v129(constB160, bitIndex0) <=> v127(constB159, bitIndex0))),
% 15.80/11.06 inference(modus_ponens,[status(thm)],[22769, 22768])).
% 15.80/11.06 tff(22771,plain,
% 15.80/11.06 (v129(constB160, bitIndex0) <=> v127(constB159, bitIndex0)),
% 15.80/11.06 inference(unit_resolution,[status(thm)],[22770, 5004, 22727])).
% 15.80/11.06 tff(22772,plain,
% 15.80/11.06 (((~![B: $i] : ((~less_3(B)) | (v127(constB159, B) <=> v130(constB159, B)))) | ((~less_3(bitIndex0)) | (v127(constB159, bitIndex0) <=> v130(constB159, bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v127(constB159, B) <=> v130(constB159, B)))) | (~less_3(bitIndex0)) | (v127(constB159, bitIndex0) <=> v130(constB159, bitIndex0)))),
% 15.80/11.06 inference(rewrite,[status(thm)],[])).
% 15.80/11.06 tff(22773,plain,
% 15.80/11.06 ((~![B: $i] : ((~less_3(B)) | (v127(constB159, B) <=> v130(constB159, B)))) | ((~less_3(bitIndex0)) | (v127(constB159, bitIndex0) <=> v130(constB159, bitIndex0)))),
% 15.80/11.06 inference(quant_inst,[status(thm)],[])).
% 15.80/11.06 tff(22774,plain,
% 15.80/11.06 ((~![B: $i] : ((~less_3(B)) | (v127(constB159, B) <=> v130(constB159, B)))) | (~less_3(bitIndex0)) | (v127(constB159, bitIndex0) <=> v130(constB159, bitIndex0))),
% 15.80/11.06 inference(modus_ponens,[status(thm)],[22773, 22772])).
% 15.80/11.06 tff(22775,plain,
% 15.80/11.06 (v127(constB159, bitIndex0) <=> v130(constB159, bitIndex0)),
% 15.80/11.06 inference(unit_resolution,[status(thm)],[22774, 5004, 22735])).
% 15.80/11.06 tff(22776,plain,
% 15.80/11.06 (((~![B: $i] : ((~less_3(B)) | (v130(constB159, B) <=> b011(B)))) | ((~less_3(bitIndex0)) | (v130(constB159, bitIndex0) <=> b011(bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v130(constB159, B) <=> b011(B)))) | (~less_3(bitIndex0)) | (v130(constB159, bitIndex0) <=> b011(bitIndex0)))),
% 15.80/11.06 inference(rewrite,[status(thm)],[])).
% 15.80/11.06 tff(22777,plain,
% 15.80/11.06 ((~![B: $i] : ((~less_3(B)) | (v130(constB159, B) <=> b011(B)))) | ((~less_3(bitIndex0)) | (v130(constB159, bitIndex0) <=> b011(bitIndex0)))),
% 15.80/11.06 inference(quant_inst,[status(thm)],[])).
% 15.80/11.06 tff(22778,plain,
% 15.80/11.06 ((~![B: $i] : ((~less_3(B)) | (v130(constB159, B) <=> b011(B)))) | (~less_3(bitIndex0)) | (v130(constB159, bitIndex0) <=> b011(bitIndex0))),
% 15.80/11.06 inference(modus_ponens,[status(thm)],[22777, 22776])).
% 15.80/11.06 tff(22779,plain,
% 15.80/11.06 (v130(constB159, bitIndex0) <=> b011(bitIndex0)),
% 15.80/11.06 inference(unit_resolution,[status(thm)],[22778, 5004, 22744])).
% 15.80/11.06 tff(22780,plain,
% 15.80/11.06 ((~(v130(constB159, bitIndex0) <=> b011(bitIndex0))) | v130(constB159, bitIndex0) | (~b011(bitIndex0))),
% 15.80/11.06 inference(tautology,[status(thm)],[])).
% 15.80/11.06 tff(22781,plain,
% 15.80/11.06 ((~(v130(constB159, bitIndex0) <=> b011(bitIndex0))) | v130(constB159, bitIndex0)),
% 15.80/11.06 inference(unit_resolution,[status(thm)],[22780, 6023])).
% 15.80/11.06 tff(22782,plain,
% 15.80/11.06 (v130(constB159, bitIndex0)),
% 15.80/11.06 inference(unit_resolution,[status(thm)],[22781, 22779])).
% 15.80/11.06 tff(22783,plain,
% 15.80/11.06 ((~(v127(constB159, bitIndex0) <=> v130(constB159, bitIndex0))) | v127(constB159, bitIndex0) | (~v130(constB159, bitIndex0))),
% 15.80/11.06 inference(tautology,[status(thm)],[])).
% 15.80/11.06 tff(22784,plain,
% 15.80/11.06 (v127(constB159, bitIndex0)),
% 15.80/11.06 inference(unit_resolution,[status(thm)],[22783, 22782, 22775])).
% 15.80/11.06 tff(22785,plain,
% 15.80/11.06 ((~(v129(constB160, bitIndex0) <=> v127(constB159, bitIndex0))) | v129(constB160, bitIndex0) | (~v127(constB159, bitIndex0))),
% 15.80/11.06 inference(tautology,[status(thm)],[])).
% 15.80/11.06 tff(22786,plain,
% 15.80/11.06 (v129(constB160, bitIndex0)),
% 15.80/11.06 inference(unit_resolution,[status(thm)],[22785, 22784, 22771])).
% 15.80/11.06 tff(22787,plain,
% 15.80/11.06 ((~(v90(constB160, bitIndex0) <=> v129(constB160, bitIndex0))) | v90(constB160, bitIndex0) | (~v129(constB160, bitIndex0))),
% 15.80/11.06 inference(tautology,[status(thm)],[])).
% 15.80/11.06 tff(22788,plain,
% 15.80/11.06 (v90(constB160, bitIndex0)),
% 15.80/11.06 inference(unit_resolution,[status(thm)],[22787, 22786, 22767])).
% 15.80/11.06 tff(22789,plain,
% 15.80/11.06 ((~(v90(constB161, bitIndex0) <=> v90(constB160, bitIndex0))) | v90(constB161, bitIndex0) | (~v90(constB160, bitIndex0))),
% 15.80/11.06 inference(tautology,[status(thm)],[])).
% 15.80/11.06 tff(22790,plain,
% 15.80/11.06 (v90(constB161, bitIndex0)),
% 15.80/11.06 inference(unit_resolution,[status(thm)],[22789, 22788, 22763])).
% 15.80/11.06 tff(22791,plain,
% 15.80/11.06 (((~![B: $i] : ((~less_3(B)) | (v90(constB161, B) <=> v90(constB160, B)))) | ((~less_3(bitIndex1)) | (v90(constB161, bitIndex1) <=> v90(constB160, bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v90(constB161, B) <=> v90(constB160, B)))) | (~less_3(bitIndex1)) | (v90(constB161, bitIndex1) <=> v90(constB160, bitIndex1)))),
% 15.80/11.06 inference(rewrite,[status(thm)],[])).
% 15.80/11.06 tff(22792,plain,
% 15.80/11.06 ((~![B: $i] : ((~less_3(B)) | (v90(constB161, B) <=> v90(constB160, B)))) | ((~less_3(bitIndex1)) | (v90(constB161, bitIndex1) <=> v90(constB160, bitIndex1)))),
% 15.80/11.06 inference(quant_inst,[status(thm)],[])).
% 15.80/11.06 tff(22793,plain,
% 15.80/11.06 ((~![B: $i] : ((~less_3(B)) | (v90(constB161, B) <=> v90(constB160, B)))) | (~less_3(bitIndex1)) | (v90(constB161, bitIndex1) <=> v90(constB160, bitIndex1))),
% 15.80/11.06 inference(modus_ponens,[status(thm)],[22792, 22791])).
% 15.80/11.06 tff(22794,plain,
% 15.80/11.06 (v90(constB161, bitIndex1) <=> v90(constB160, bitIndex1)),
% 15.80/11.06 inference(unit_resolution,[status(thm)],[22793, 5017, 21075])).
% 15.80/11.06 tff(22795,plain,
% 15.80/11.06 (((~![B: $i] : ((~less_3(B)) | (v90(constB160, B) <=> v129(constB160, B)))) | ((~less_3(bitIndex1)) | (v90(constB160, bitIndex1) <=> v129(constB160, bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v90(constB160, B) <=> v129(constB160, B)))) | (~less_3(bitIndex1)) | (v90(constB160, bitIndex1) <=> v129(constB160, bitIndex1)))),
% 15.80/11.06 inference(rewrite,[status(thm)],[])).
% 15.80/11.06 tff(22796,plain,
% 15.80/11.06 ((~![B: $i] : ((~less_3(B)) | (v90(constB160, B) <=> v129(constB160, B)))) | ((~less_3(bitIndex1)) | (v90(constB160, bitIndex1) <=> v129(constB160, bitIndex1)))),
% 15.80/11.06 inference(quant_inst,[status(thm)],[])).
% 15.80/11.06 tff(22797,plain,
% 15.80/11.06 ((~![B: $i] : ((~less_3(B)) | (v90(constB160, B) <=> v129(constB160, B)))) | (~less_3(bitIndex1)) | (v90(constB160, bitIndex1) <=> v129(constB160, bitIndex1))),
% 15.80/11.06 inference(modus_ponens,[status(thm)],[22796, 22795])).
% 15.80/11.06 tff(22798,plain,
% 15.80/11.06 (v90(constB160, bitIndex1) <=> v129(constB160, bitIndex1)),
% 15.80/11.06 inference(unit_resolution,[status(thm)],[22797, 5017, 22719])).
% 15.86/11.07 tff(22799,plain,
% 15.86/11.07 (((~![B: $i] : ((~less_3(B)) | (v129(constB160, B) <=> v127(constB159, B)))) | ((~less_3(bitIndex1)) | (v129(constB160, bitIndex1) <=> v127(constB159, bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v129(constB160, B) <=> v127(constB159, B)))) | (~less_3(bitIndex1)) | (v129(constB160, bitIndex1) <=> v127(constB159, bitIndex1)))),
% 15.86/11.07 inference(rewrite,[status(thm)],[])).
% 15.86/11.07 tff(22800,plain,
% 15.86/11.07 ((~![B: $i] : ((~less_3(B)) | (v129(constB160, B) <=> v127(constB159, B)))) | ((~less_3(bitIndex1)) | (v129(constB160, bitIndex1) <=> v127(constB159, bitIndex1)))),
% 15.86/11.07 inference(quant_inst,[status(thm)],[])).
% 15.86/11.07 tff(22801,plain,
% 15.86/11.07 ((~![B: $i] : ((~less_3(B)) | (v129(constB160, B) <=> v127(constB159, B)))) | (~less_3(bitIndex1)) | (v129(constB160, bitIndex1) <=> v127(constB159, bitIndex1))),
% 15.86/11.07 inference(modus_ponens,[status(thm)],[22800, 22799])).
% 15.86/11.07 tff(22802,plain,
% 15.86/11.07 (v129(constB160, bitIndex1) <=> v127(constB159, bitIndex1)),
% 15.86/11.07 inference(unit_resolution,[status(thm)],[22801, 5017, 22727])).
% 15.86/11.07 tff(22803,plain,
% 15.86/11.07 (((~![B: $i] : ((~less_3(B)) | (v127(constB159, B) <=> v130(constB159, B)))) | ((~less_3(bitIndex1)) | (v127(constB159, bitIndex1) <=> v130(constB159, bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v127(constB159, B) <=> v130(constB159, B)))) | (~less_3(bitIndex1)) | (v127(constB159, bitIndex1) <=> v130(constB159, bitIndex1)))),
% 15.86/11.07 inference(rewrite,[status(thm)],[])).
% 15.86/11.07 tff(22804,plain,
% 15.86/11.07 ((~![B: $i] : ((~less_3(B)) | (v127(constB159, B) <=> v130(constB159, B)))) | ((~less_3(bitIndex1)) | (v127(constB159, bitIndex1) <=> v130(constB159, bitIndex1)))),
% 15.86/11.07 inference(quant_inst,[status(thm)],[])).
% 15.86/11.07 tff(22805,plain,
% 15.86/11.07 ((~![B: $i] : ((~less_3(B)) | (v127(constB159, B) <=> v130(constB159, B)))) | (~less_3(bitIndex1)) | (v127(constB159, bitIndex1) <=> v130(constB159, bitIndex1))),
% 15.86/11.07 inference(modus_ponens,[status(thm)],[22804, 22803])).
% 15.86/11.07 tff(22806,plain,
% 15.86/11.07 (v127(constB159, bitIndex1) <=> v130(constB159, bitIndex1)),
% 15.86/11.07 inference(unit_resolution,[status(thm)],[22805, 5017, 22735])).
% 15.86/11.07 tff(22807,plain,
% 15.86/11.07 (((~![B: $i] : ((~less_3(B)) | (v130(constB159, B) <=> b011(B)))) | ((~less_3(bitIndex1)) | (v130(constB159, bitIndex1) <=> b011(bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v130(constB159, B) <=> b011(B)))) | (~less_3(bitIndex1)) | (v130(constB159, bitIndex1) <=> b011(bitIndex1)))),
% 15.86/11.07 inference(rewrite,[status(thm)],[])).
% 15.86/11.07 tff(22808,plain,
% 15.86/11.07 ((~![B: $i] : ((~less_3(B)) | (v130(constB159, B) <=> b011(B)))) | ((~less_3(bitIndex1)) | (v130(constB159, bitIndex1) <=> b011(bitIndex1)))),
% 15.86/11.07 inference(quant_inst,[status(thm)],[])).
% 15.86/11.07 tff(22809,plain,
% 15.86/11.07 ((~![B: $i] : ((~less_3(B)) | (v130(constB159, B) <=> b011(B)))) | (~less_3(bitIndex1)) | (v130(constB159, bitIndex1) <=> b011(bitIndex1))),
% 15.86/11.07 inference(modus_ponens,[status(thm)],[22808, 22807])).
% 15.86/11.07 tff(22810,plain,
% 15.86/11.07 (v130(constB159, bitIndex1) <=> b011(bitIndex1)),
% 15.86/11.07 inference(unit_resolution,[status(thm)],[22809, 5017, 22744])).
% 15.86/11.07 tff(22811,plain,
% 15.86/11.07 ((~(v130(constB159, bitIndex1) <=> b011(bitIndex1))) | v130(constB159, bitIndex1) | (~b011(bitIndex1))),
% 15.86/11.07 inference(tautology,[status(thm)],[])).
% 15.86/11.07 tff(22812,plain,
% 15.86/11.07 ((~(v130(constB159, bitIndex1) <=> b011(bitIndex1))) | v130(constB159, bitIndex1)),
% 15.86/11.07 inference(unit_resolution,[status(thm)],[22811, 6057])).
% 15.86/11.07 tff(22813,plain,
% 15.86/11.07 (v130(constB159, bitIndex1)),
% 15.86/11.07 inference(unit_resolution,[status(thm)],[22812, 22810])).
% 15.86/11.07 tff(22814,plain,
% 15.86/11.07 ((~(v127(constB159, bitIndex1) <=> v130(constB159, bitIndex1))) | v127(constB159, bitIndex1) | (~v130(constB159, bitIndex1))),
% 15.86/11.07 inference(tautology,[status(thm)],[])).
% 15.86/11.07 tff(22815,plain,
% 15.86/11.07 (v127(constB159, bitIndex1)),
% 15.86/11.07 inference(unit_resolution,[status(thm)],[22814, 22813, 22806])).
% 15.86/11.07 tff(22816,plain,
% 15.86/11.07 ((~(v129(constB160, bitIndex1) <=> v127(constB159, bitIndex1))) | v129(constB160, bitIndex1) | (~v127(constB159, bitIndex1))),
% 15.86/11.07 inference(tautology,[status(thm)],[])).
% 15.86/11.07 tff(22817,plain,
% 15.86/11.07 (v129(constB160, bitIndex1)),
% 15.86/11.07 inference(unit_resolution,[status(thm)],[22816, 22815, 22802])).
% 15.86/11.07 tff(22818,plain,
% 15.86/11.07 ((~(v90(constB160, bitIndex1) <=> v129(constB160, bitIndex1))) | v90(constB160, bitIndex1) | (~v129(constB160, bitIndex1))),
% 15.86/11.07 inference(tautology,[status(thm)],[])).
% 15.86/11.07 tff(22819,plain,
% 15.86/11.07 (v90(constB160, bitIndex1)),
% 15.86/11.07 inference(unit_resolution,[status(thm)],[22818, 22817, 22798])).
% 15.86/11.07 tff(22820,plain,
% 15.86/11.07 ((~(v90(constB161, bitIndex1) <=> v90(constB160, bitIndex1))) | v90(constB161, bitIndex1) | (~v90(constB160, bitIndex1))),
% 15.86/11.07 inference(tautology,[status(thm)],[])).
% 15.86/11.07 tff(22821,plain,
% 15.86/11.07 (v90(constB161, bitIndex1)),
% 15.86/11.07 inference(unit_resolution,[status(thm)],[22820, 22819, 22794])).
% 15.86/11.07 tff(22822,plain,
% 15.86/11.07 ((~(v90(constB161, bitIndex2) | (~v90(constB161, bitIndex1)) | (~v90(constB161, bitIndex0)))) | v90(constB161, bitIndex2) | (~v90(constB161, bitIndex1)) | (~v90(constB161, bitIndex0))),
% 15.86/11.07 inference(tautology,[status(thm)],[])).
% 15.86/11.07 tff(22823,plain,
% 15.86/11.07 (~(v90(constB161, bitIndex2) | (~v90(constB161, bitIndex1)) | (~v90(constB161, bitIndex0)))),
% 15.86/11.07 inference(unit_resolution,[status(thm)],[22822, 22821, 22790, 22759])).
% 15.86/11.07 tff(22824,plain,
% 15.86/11.07 ((~(v122(constB161) <=> (~(v90(constB161, bitIndex2) | (~v90(constB161, bitIndex1)) | (~v90(constB161, bitIndex0)))))) | v122(constB161) | (v90(constB161, bitIndex2) | (~v90(constB161, bitIndex1)) | (~v90(constB161, bitIndex0)))),
% 15.86/11.07 inference(tautology,[status(thm)],[])).
% 15.86/11.07 tff(22825,plain,
% 15.86/11.07 (v122(constB161)),
% 15.86/11.07 inference(unit_resolution,[status(thm)],[22824, 22823, 21047])).
% 15.86/11.07 tff(22826,plain,
% 15.86/11.07 ((v117(constB161) | v122(constB161)) | (~v122(constB161))),
% 15.86/11.07 inference(tautology,[status(thm)],[])).
% 15.86/11.07 tff(22827,plain,
% 15.86/11.07 (v117(constB161) | v122(constB161)),
% 15.86/11.07 inference(unit_resolution,[status(thm)],[22826, 22825])).
% 15.86/11.07 tff(22828,plain,
% 15.86/11.07 ((~(v116(constB161) <=> (v117(constB161) | v122(constB161)))) | v116(constB161) | (~(v117(constB161) | v122(constB161)))),
% 15.86/11.07 inference(tautology,[status(thm)],[])).
% 15.86/11.07 tff(22829,plain,
% 15.86/11.07 (v116(constB161)),
% 15.86/11.07 inference(unit_resolution,[status(thm)],[22828, 22827, 21040])).
% 15.86/11.07 tff(22830,plain,
% 15.86/11.07 ((v116(constB161) | v123(constB161)) | (~v116(constB161))),
% 15.86/11.07 inference(tautology,[status(thm)],[])).
% 15.86/11.07 tff(22831,plain,
% 15.86/11.07 (v116(constB161) | v123(constB161)),
% 15.86/11.07 inference(unit_resolution,[status(thm)],[22830, 22829])).
% 15.86/11.07 tff(22832,plain,
% 15.86/11.07 ((~(v115(constB161) <=> (v116(constB161) | v123(constB161)))) | v115(constB161) | (~(v116(constB161) | v123(constB161)))),
% 15.86/11.07 inference(tautology,[status(thm)],[])).
% 15.86/11.07 tff(22833,plain,
% 15.86/11.07 (v115(constB161)),
% 15.86/11.07 inference(unit_resolution,[status(thm)],[22832, 22831, 21038])).
% 15.86/11.07 tff(22834,plain,
% 15.86/11.07 ((v115(constB161) | v124(constB161)) | (~v115(constB161))),
% 15.86/11.07 inference(tautology,[status(thm)],[])).
% 15.86/11.07 tff(22835,plain,
% 15.86/11.07 (v115(constB161) | v124(constB161)),
% 15.86/11.07 inference(unit_resolution,[status(thm)],[22834, 22833])).
% 15.86/11.07 tff(22836,plain,
% 15.86/11.07 ((~(v114(constB161) <=> (v115(constB161) | v124(constB161)))) | v114(constB161) | (~(v115(constB161) | v124(constB161)))),
% 15.86/11.07 inference(tautology,[status(thm)],[])).
% 15.86/11.07 tff(22837,plain,
% 15.86/11.07 (v114(constB161)),
% 15.86/11.07 inference(unit_resolution,[status(thm)],[22836, 22835, 21036])).
% 15.86/11.07 tff(22838,plain,
% 15.86/11.07 ((v114(constB161) | v125(constB161)) | (~v114(constB161))),
% 15.86/11.07 inference(tautology,[status(thm)],[])).
% 15.86/11.07 tff(22839,plain,
% 15.86/11.07 (v114(constB161) | v125(constB161)),
% 15.86/11.07 inference(unit_resolution,[status(thm)],[22838, 22837])).
% 15.86/11.07 tff(22840,plain,
% 15.86/11.07 ((~(v113(constB161) <=> (v114(constB161) | v125(constB161)))) | v113(constB161) | (~(v114(constB161) | v125(constB161)))),
% 15.86/11.07 inference(tautology,[status(thm)],[])).
% 15.86/11.07 tff(22841,plain,
% 15.86/11.07 (v113(constB161)),
% 15.86/11.07 inference(unit_resolution,[status(thm)],[22840, 22839, 21034])).
% 15.86/11.07 tff(22842,plain,
% 15.86/11.07 ((~![VarCurr: $i] : ((~v126(VarCurr)) <=> v111(VarCurr))) | ((~v126(constB161)) <=> v111(constB161))),
% 15.86/11.07 inference(quant_inst,[status(thm)],[])).
% 15.86/11.07 tff(22843,plain,
% 15.86/11.07 ((~v126(constB161)) <=> v111(constB161)),
% 15.86/11.07 inference(unit_resolution,[status(thm)],[22842, 5074])).
% 15.86/11.07 tff(22844,plain,
% 15.86/11.07 ((~![VarCurr: $i] : (v111(VarCurr) <=> v26(VarCurr))) | (v111(constB161) <=> v26(constB161))),
% 15.86/11.07 inference(quant_inst,[status(thm)],[])).
% 15.86/11.07 tff(22845,plain,
% 15.86/11.07 (v111(constB161) <=> v26(constB161)),
% 15.86/11.07 inference(unit_resolution,[status(thm)],[22844, 5086])).
% 15.86/11.07 tff(22846,plain,
% 15.86/11.07 ((~![VarCurr: $i] : (~v26(VarCurr))) | (~v26(constB161))),
% 15.86/11.07 inference(quant_inst,[status(thm)],[])).
% 15.86/11.07 tff(22847,plain,
% 15.86/11.07 (~v26(constB161)),
% 15.86/11.07 inference(unit_resolution,[status(thm)],[22846, 5098])).
% 15.86/11.07 tff(22848,plain,
% 15.86/11.07 ((~(v111(constB161) <=> v26(constB161))) | (~v111(constB161)) | v26(constB161)),
% 15.86/11.07 inference(tautology,[status(thm)],[])).
% 15.86/11.07 tff(22849,plain,
% 15.86/11.07 ((~(v111(constB161) <=> v26(constB161))) | (~v111(constB161))),
% 15.86/11.07 inference(unit_resolution,[status(thm)],[22848, 22847])).
% 15.86/11.07 tff(22850,plain,
% 15.86/11.07 (~v111(constB161)),
% 15.86/11.07 inference(unit_resolution,[status(thm)],[22849, 22845])).
% 15.86/11.07 tff(22851,plain,
% 15.86/11.07 ((~((~v126(constB161)) <=> v111(constB161))) | v126(constB161) | v111(constB161)),
% 15.86/11.07 inference(tautology,[status(thm)],[])).
% 15.86/11.07 tff(22852,plain,
% 15.86/11.07 ((~((~v126(constB161)) <=> v111(constB161))) | v126(constB161)),
% 15.86/11.07 inference(unit_resolution,[status(thm)],[22851, 22850])).
% 15.86/11.07 tff(22853,plain,
% 15.86/11.07 (v126(constB161)),
% 15.86/11.07 inference(unit_resolution,[status(thm)],[22852, 22843])).
% 15.86/11.07 tff(22854,plain,
% 15.86/11.07 ((~((~v113(constB161)) | (~v126(constB161)))) | (~v113(constB161)) | (~v126(constB161))),
% 15.86/11.07 inference(tautology,[status(thm)],[])).
% 15.86/11.07 tff(22855,plain,
% 15.86/11.07 ((~((~v113(constB161)) | (~v126(constB161)))) | (~v113(constB161))),
% 15.86/11.07 inference(unit_resolution,[status(thm)],[22854, 22853])).
% 15.86/11.07 tff(22856,plain,
% 15.86/11.07 (~((~v113(constB161)) | (~v126(constB161)))),
% 15.86/11.07 inference(unit_resolution,[status(thm)],[22855, 22841])).
% 15.86/11.07 tff(22857,plain,
% 15.86/11.07 ((~(v112(constB161) <=> (~((~v113(constB161)) | (~v126(constB161)))))) | v112(constB161) | ((~v113(constB161)) | (~v126(constB161)))),
% 15.86/11.07 inference(tautology,[status(thm)],[])).
% 15.86/11.07 tff(22858,plain,
% 15.86/11.07 (v112(constB161)),
% 15.86/11.07 inference(unit_resolution,[status(thm)],[22857, 22856, 21032])).
% 15.86/11.07 tff(22859,plain,
% 15.86/11.07 ((v111(constB161) | v112(constB161)) | (~v112(constB161))),
% 15.86/11.07 inference(tautology,[status(thm)],[])).
% 15.86/11.07 tff(22860,plain,
% 15.86/11.07 (v111(constB161) | v112(constB161)),
% 15.86/11.07 inference(unit_resolution,[status(thm)],[22859, 22858])).
% 15.86/11.07 tff(22861,plain,
% 15.86/11.07 ((~(v108(constB161) <=> (v111(constB161) | v112(constB161)))) | v108(constB161) | (~(v111(constB161) | v112(constB161)))),
% 15.86/11.07 inference(tautology,[status(thm)],[])).
% 15.86/11.07 tff(22862,plain,
% 15.86/11.07 (v108(constB161)),
% 15.86/11.07 inference(unit_resolution,[status(thm)],[22861, 22860, 21030])).
% 15.86/11.07 tff(22863,plain,
% 15.86/11.07 ((~(v110(constB162) <=> v108(constB161))) | v110(constB162) | (~v108(constB161))),
% 15.86/11.07 inference(tautology,[status(thm)],[])).
% 15.86/11.07 tff(22864,plain,
% 15.86/11.07 (v110(constB162)),
% 15.86/11.07 inference(unit_resolution,[status(thm)],[22863, 22862, 21028])).
% 15.86/11.07 tff(22865,plain,
% 15.86/11.07 ((~((~v101(constB162)) | (~v110(constB162)))) | (~v101(constB162)) | (~v110(constB162))),
% 15.86/11.07 inference(tautology,[status(thm)],[])).
% 15.86/11.07 tff(22866,plain,
% 15.86/11.07 (~((~v101(constB162)) | (~v110(constB162)))),
% 15.86/11.07 inference(unit_resolution,[status(thm)],[22865, 22864, 21024])).
% 15.86/11.07 tff(22867,plain,
% 15.86/11.07 ((~(v100(constB162) <=> (~((~v101(constB162)) | (~v110(constB162)))))) | v100(constB162) | ((~v101(constB162)) | (~v110(constB162)))),
% 15.86/11.07 inference(tautology,[status(thm)],[])).
% 15.86/11.07 tff(22868,plain,
% 15.86/11.07 (v100(constB162)),
% 15.86/11.07 inference(unit_resolution,[status(thm)],[22867, 22866, 20993])).
% 15.86/11.07 tff(22869,plain,
% 15.86/11.07 (((~![VarNext: $i] : ((~v100(VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v129(VarNext, B))))) | ((~v100(constB162)) | ![B: $i] : ((~less_3(B)) | (v90(constB162, B) <=> v129(constB162, B))))) <=> ((~![VarNext: $i] : ((~v100(VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v129(VarNext, B))))) | (~v100(constB162)) | ![B: $i] : ((~less_3(B)) | (v90(constB162, B) <=> v129(constB162, B))))),
% 15.86/11.07 inference(rewrite,[status(thm)],[])).
% 15.86/11.07 tff(22870,plain,
% 15.86/11.07 ((~![VarNext: $i] : ((~v100(VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v129(VarNext, B))))) | ((~v100(constB162)) | ![B: $i] : ((~less_3(B)) | (v90(constB162, B) <=> v129(constB162, B))))),
% 15.86/11.07 inference(quant_inst,[status(thm)],[])).
% 15.86/11.07 tff(22871,plain,
% 15.86/11.07 ((~![VarNext: $i] : ((~v100(VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v129(VarNext, B))))) | (~v100(constB162)) | ![B: $i] : ((~less_3(B)) | (v90(constB162, B) <=> v129(constB162, B)))),
% 15.86/11.07 inference(modus_ponens,[status(thm)],[22870, 22869])).
% 15.86/11.07 tff(22872,plain,
% 15.86/11.07 ((~v100(constB162)) | ![B: $i] : ((~less_3(B)) | (v90(constB162, B) <=> v129(constB162, B)))),
% 15.86/11.07 inference(unit_resolution,[status(thm)],[22871, 5134])).
% 15.86/11.07 tff(22873,plain,
% 15.86/11.07 (![B: $i] : ((~less_3(B)) | (v90(constB162, B) <=> v129(constB162, B)))),
% 15.86/11.07 inference(unit_resolution,[status(thm)],[22872, 22868])).
% 15.86/11.07 tff(22874,plain,
% 15.86/11.07 (((~![B: $i] : ((~less_3(B)) | (v90(constB162, B) <=> v129(constB162, B)))) | ((~less_3(bitIndex2)) | (v90(constB162, bitIndex2) <=> v129(constB162, bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v90(constB162, B) <=> v129(constB162, B)))) | (~less_3(bitIndex2)) | (v90(constB162, bitIndex2) <=> v129(constB162, bitIndex2)))),
% 15.86/11.07 inference(rewrite,[status(thm)],[])).
% 15.86/11.07 tff(22875,plain,
% 15.86/11.07 ((~![B: $i] : ((~less_3(B)) | (v90(constB162, B) <=> v129(constB162, B)))) | ((~less_3(bitIndex2)) | (v90(constB162, bitIndex2) <=> v129(constB162, bitIndex2)))),
% 15.86/11.07 inference(quant_inst,[status(thm)],[])).
% 15.86/11.07 tff(22876,plain,
% 15.86/11.07 ((~![B: $i] : ((~less_3(B)) | (v90(constB162, B) <=> v129(constB162, B)))) | (~less_3(bitIndex2)) | (v90(constB162, bitIndex2) <=> v129(constB162, bitIndex2))),
% 15.86/11.07 inference(modus_ponens,[status(thm)],[22875, 22874])).
% 15.86/11.07 tff(22877,plain,
% 15.86/11.07 (v90(constB162, bitIndex2) <=> v129(constB162, bitIndex2)),
% 15.86/11.07 inference(unit_resolution,[status(thm)],[22876, 413, 22873])).
% 15.86/11.07 tff(22878,plain,
% 15.86/11.07 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v129(VarNext, B) <=> v127(VarCurr, B))))) | ((~nextState(constB161, constB162)) | ![B: $i] : ((~less_3(B)) | (v129(constB162, B) <=> v127(constB161, B))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v129(VarNext, B) <=> v127(VarCurr, B))))) | (~nextState(constB161, constB162)) | ![B: $i] : ((~less_3(B)) | (v129(constB162, B) <=> v127(constB161, B))))),
% 15.86/11.07 inference(rewrite,[status(thm)],[])).
% 15.86/11.07 tff(22879,plain,
% 15.86/11.07 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v129(VarNext, B) <=> v127(VarCurr, B))))) | ((~nextState(constB161, constB162)) | ![B: $i] : ((~less_3(B)) | (v129(constB162, B) <=> v127(constB161, B))))),
% 15.86/11.07 inference(quant_inst,[status(thm)],[])).
% 15.86/11.07 tff(22880,plain,
% 15.86/11.07 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v129(VarNext, B) <=> v127(VarCurr, B))))) | (~nextState(constB161, constB162)) | ![B: $i] : ((~less_3(B)) | (v129(constB162, B) <=> v127(constB161, B)))),
% 15.86/11.07 inference(modus_ponens,[status(thm)],[22879, 22878])).
% 15.86/11.07 tff(22881,plain,
% 15.86/11.07 (![B: $i] : ((~less_3(B)) | (v129(constB162, B) <=> v127(constB161, B)))),
% 15.86/11.07 inference(unit_resolution,[status(thm)],[22880, 20989, 5156])).
% 15.86/11.07 tff(22882,plain,
% 15.86/11.07 (((~![B: $i] : ((~less_3(B)) | (v129(constB162, B) <=> v127(constB161, B)))) | ((~less_3(bitIndex2)) | (v129(constB162, bitIndex2) <=> v127(constB161, bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v129(constB162, B) <=> v127(constB161, B)))) | (~less_3(bitIndex2)) | (v129(constB162, bitIndex2) <=> v127(constB161, bitIndex2)))),
% 15.86/11.07 inference(rewrite,[status(thm)],[])).
% 15.86/11.07 tff(22883,plain,
% 15.86/11.07 ((~![B: $i] : ((~less_3(B)) | (v129(constB162, B) <=> v127(constB161, B)))) | ((~less_3(bitIndex2)) | (v129(constB162, bitIndex2) <=> v127(constB161, bitIndex2)))),
% 15.86/11.07 inference(quant_inst,[status(thm)],[])).
% 15.86/11.07 tff(22884,plain,
% 15.86/11.07 ((~![B: $i] : ((~less_3(B)) | (v129(constB162, B) <=> v127(constB161, B)))) | (~less_3(bitIndex2)) | (v129(constB162, bitIndex2) <=> v127(constB161, bitIndex2))),
% 15.86/11.07 inference(modus_ponens,[status(thm)],[22883, 22882])).
% 15.86/11.07 tff(22885,plain,
% 15.86/11.07 (v129(constB162, bitIndex2) <=> v127(constB161, bitIndex2)),
% 15.86/11.07 inference(unit_resolution,[status(thm)],[22884, 413, 22881])).
% 15.86/11.07 tff(22886,plain,
% 15.86/11.07 (((~![VarCurr: $i] : (v111(VarCurr) | ![B: $i] : ((~less_3(B)) | (v127(VarCurr, B) <=> v130(VarCurr, B))))) | (v111(constB161) | ![B: $i] : ((~less_3(B)) | (v127(constB161, B) <=> v130(constB161, B))))) <=> ((~![VarCurr: $i] : (v111(VarCurr) | ![B: $i] : ((~less_3(B)) | (v127(VarCurr, B) <=> v130(VarCurr, B))))) | v111(constB161) | ![B: $i] : ((~less_3(B)) | (v127(constB161, B) <=> v130(constB161, B))))),
% 15.86/11.08 inference(rewrite,[status(thm)],[])).
% 15.86/11.08 tff(22887,plain,
% 15.86/11.08 ((~![VarCurr: $i] : (v111(VarCurr) | ![B: $i] : ((~less_3(B)) | (v127(VarCurr, B) <=> v130(VarCurr, B))))) | (v111(constB161) | ![B: $i] : ((~less_3(B)) | (v127(constB161, B) <=> v130(constB161, B))))),
% 15.86/11.08 inference(quant_inst,[status(thm)],[])).
% 15.86/11.08 tff(22888,plain,
% 15.86/11.08 ((~![VarCurr: $i] : (v111(VarCurr) | ![B: $i] : ((~less_3(B)) | (v127(VarCurr, B) <=> v130(VarCurr, B))))) | v111(constB161) | ![B: $i] : ((~less_3(B)) | (v127(constB161, B) <=> v130(constB161, B)))),
% 15.86/11.08 inference(modus_ponens,[status(thm)],[22887, 22886])).
% 15.86/11.08 tff(22889,plain,
% 15.86/11.08 (![B: $i] : ((~less_3(B)) | (v127(constB161, B) <=> v130(constB161, B)))),
% 15.86/11.08 inference(unit_resolution,[status(thm)],[22888, 5177, 22850])).
% 15.86/11.08 tff(22890,plain,
% 15.86/11.08 (((~![B: $i] : ((~less_3(B)) | (v127(constB161, B) <=> v130(constB161, B)))) | ((~less_3(bitIndex2)) | (v127(constB161, bitIndex2) <=> v130(constB161, bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v127(constB161, B) <=> v130(constB161, B)))) | (~less_3(bitIndex2)) | (v127(constB161, bitIndex2) <=> v130(constB161, bitIndex2)))),
% 15.86/11.08 inference(rewrite,[status(thm)],[])).
% 15.86/11.08 tff(22891,plain,
% 15.86/11.08 ((~![B: $i] : ((~less_3(B)) | (v127(constB161, B) <=> v130(constB161, B)))) | ((~less_3(bitIndex2)) | (v127(constB161, bitIndex2) <=> v130(constB161, bitIndex2)))),
% 15.86/11.08 inference(quant_inst,[status(thm)],[])).
% 15.86/11.08 tff(22892,plain,
% 15.86/11.08 ((~![B: $i] : ((~less_3(B)) | (v127(constB161, B) <=> v130(constB161, B)))) | (~less_3(bitIndex2)) | (v127(constB161, bitIndex2) <=> v130(constB161, bitIndex2))),
% 15.86/11.08 inference(modus_ponens,[status(thm)],[22891, 22890])).
% 15.86/11.08 tff(22893,plain,
% 15.86/11.08 (v127(constB161, bitIndex2) <=> v130(constB161, bitIndex2)),
% 15.86/11.08 inference(unit_resolution,[status(thm)],[22892, 413, 22889])).
% 15.86/11.08 tff(22894,plain,
% 15.86/11.08 (((~![VarCurr: $i] : ((~v122(VarCurr)) | ![B: $i] : ((~less_3(B)) | (v130(VarCurr, B) <=> b100(B))))) | ((~v122(constB161)) | ![B: $i] : ((~less_3(B)) | (v130(constB161, B) <=> b100(B))))) <=> ((~![VarCurr: $i] : ((~v122(VarCurr)) | ![B: $i] : ((~less_3(B)) | (v130(VarCurr, B) <=> b100(B))))) | (~v122(constB161)) | ![B: $i] : ((~less_3(B)) | (v130(constB161, B) <=> b100(B))))),
% 15.86/11.08 inference(rewrite,[status(thm)],[])).
% 15.86/11.08 tff(22895,plain,
% 15.86/11.08 ((~![VarCurr: $i] : ((~v122(VarCurr)) | ![B: $i] : ((~less_3(B)) | (v130(VarCurr, B) <=> b100(B))))) | ((~v122(constB161)) | ![B: $i] : ((~less_3(B)) | (v130(constB161, B) <=> b100(B))))),
% 15.86/11.08 inference(quant_inst,[status(thm)],[])).
% 15.86/11.08 tff(22896,plain,
% 15.86/11.08 ((~![VarCurr: $i] : ((~v122(VarCurr)) | ![B: $i] : ((~less_3(B)) | (v130(VarCurr, B) <=> b100(B))))) | (~v122(constB161)) | ![B: $i] : ((~less_3(B)) | (v130(constB161, B) <=> b100(B)))),
% 15.86/11.08 inference(modus_ponens,[status(thm)],[22895, 22894])).
% 15.86/11.08 tff(22897,plain,
% 15.86/11.08 ((~v122(constB161)) | ![B: $i] : ((~less_3(B)) | (v130(constB161, B) <=> b100(B)))),
% 15.86/11.08 inference(unit_resolution,[status(thm)],[22896, 6153])).
% 15.86/11.08 tff(22898,plain,
% 15.86/11.08 (![B: $i] : ((~less_3(B)) | (v130(constB161, B) <=> b100(B)))),
% 15.86/11.08 inference(unit_resolution,[status(thm)],[22897, 22825])).
% 15.86/11.08 tff(22899,plain,
% 15.86/11.08 (((~![B: $i] : ((~less_3(B)) | (v130(constB161, B) <=> b100(B)))) | ((~less_3(bitIndex2)) | (v130(constB161, bitIndex2) <=> b100(bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v130(constB161, B) <=> b100(B)))) | (~less_3(bitIndex2)) | (v130(constB161, bitIndex2) <=> b100(bitIndex2)))),
% 15.86/11.08 inference(rewrite,[status(thm)],[])).
% 15.86/11.08 tff(22900,plain,
% 15.86/11.08 ((~![B: $i] : ((~less_3(B)) | (v130(constB161, B) <=> b100(B)))) | ((~less_3(bitIndex2)) | (v130(constB161, bitIndex2) <=> b100(bitIndex2)))),
% 15.86/11.08 inference(quant_inst,[status(thm)],[])).
% 15.86/11.08 tff(22901,plain,
% 15.86/11.08 ((~![B: $i] : ((~less_3(B)) | (v130(constB161, B) <=> b100(B)))) | (~less_3(bitIndex2)) | (v130(constB161, bitIndex2) <=> b100(bitIndex2))),
% 15.86/11.08 inference(modus_ponens,[status(thm)],[22900, 22899])).
% 15.86/11.08 tff(22902,plain,
% 15.86/11.08 (v130(constB161, bitIndex2) <=> b100(bitIndex2)),
% 15.86/11.08 inference(unit_resolution,[status(thm)],[22901, 413, 22898])).
% 15.86/11.08 tff(22903,plain,
% 15.86/11.08 ((~(v130(constB161, bitIndex2) <=> b100(bitIndex2))) | v130(constB161, bitIndex2) | (~b100(bitIndex2))),
% 15.86/11.08 inference(tautology,[status(thm)],[])).
% 15.86/11.08 tff(22904,plain,
% 15.86/11.08 ((~(v130(constB161, bitIndex2) <=> b100(bitIndex2))) | v130(constB161, bitIndex2)),
% 15.86/11.08 inference(unit_resolution,[status(thm)],[22903, 5209])).
% 15.86/11.08 tff(22905,plain,
% 15.86/11.08 (v130(constB161, bitIndex2)),
% 15.86/11.08 inference(unit_resolution,[status(thm)],[22904, 22902])).
% 15.86/11.08 tff(22906,plain,
% 15.86/11.08 ((~(v127(constB161, bitIndex2) <=> v130(constB161, bitIndex2))) | v127(constB161, bitIndex2) | (~v130(constB161, bitIndex2))),
% 15.86/11.08 inference(tautology,[status(thm)],[])).
% 15.86/11.08 tff(22907,plain,
% 15.86/11.08 (v127(constB161, bitIndex2)),
% 15.86/11.08 inference(unit_resolution,[status(thm)],[22906, 22905, 22893])).
% 15.86/11.08 tff(22908,plain,
% 15.86/11.08 ((~(v129(constB162, bitIndex2) <=> v127(constB161, bitIndex2))) | v129(constB162, bitIndex2) | (~v127(constB161, bitIndex2))),
% 15.86/11.08 inference(tautology,[status(thm)],[])).
% 15.86/11.08 tff(22909,plain,
% 15.86/11.08 (v129(constB162, bitIndex2)),
% 15.86/11.08 inference(unit_resolution,[status(thm)],[22908, 22907, 22885])).
% 15.86/11.08 tff(22910,plain,
% 15.86/11.08 ((~(v90(constB162, bitIndex2) <=> v129(constB162, bitIndex2))) | v90(constB162, bitIndex2) | (~v129(constB162, bitIndex2))),
% 15.86/11.08 inference(tautology,[status(thm)],[])).
% 15.86/11.08 tff(22911,plain,
% 15.86/11.08 (v90(constB162, bitIndex2)),
% 15.86/11.08 inference(unit_resolution,[status(thm)],[22910, 22909, 22877])).
% 15.86/11.08 tff(22912,plain,
% 15.86/11.08 ((~(v90(constB163, bitIndex2) <=> v90(constB162, bitIndex2))) | v90(constB163, bitIndex2) | (~v90(constB162, bitIndex2))),
% 15.86/11.08 inference(tautology,[status(thm)],[])).
% 15.86/11.08 tff(22913,plain,
% 15.86/11.08 (v90(constB163, bitIndex2)),
% 15.86/11.08 inference(unit_resolution,[status(thm)],[22912, 22911, 20986])).
% 15.86/11.08 tff(22914,plain,
% 15.86/11.08 (((~![B: $i] : ((~less_3(B)) | (v90(constB163, B) <=> v90(constB162, B)))) | ((~less_3(bitIndex0)) | (v90(constB163, bitIndex0) <=> v90(constB162, bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v90(constB163, B) <=> v90(constB162, B)))) | (~less_3(bitIndex0)) | (v90(constB163, bitIndex0) <=> v90(constB162, bitIndex0)))),
% 15.86/11.08 inference(rewrite,[status(thm)],[])).
% 15.86/11.08 tff(22915,plain,
% 15.86/11.08 ((~![B: $i] : ((~less_3(B)) | (v90(constB163, B) <=> v90(constB162, B)))) | ((~less_3(bitIndex0)) | (v90(constB163, bitIndex0) <=> v90(constB162, bitIndex0)))),
% 15.86/11.08 inference(quant_inst,[status(thm)],[])).
% 15.86/11.08 tff(22916,plain,
% 15.86/11.08 ((~![B: $i] : ((~less_3(B)) | (v90(constB163, B) <=> v90(constB162, B)))) | (~less_3(bitIndex0)) | (v90(constB163, bitIndex0) <=> v90(constB162, bitIndex0))),
% 15.86/11.08 inference(modus_ponens,[status(thm)],[22915, 22914])).
% 15.86/11.08 tff(22917,plain,
% 15.86/11.08 (v90(constB163, bitIndex0) <=> v90(constB162, bitIndex0)),
% 15.86/11.08 inference(unit_resolution,[status(thm)],[22916, 5004, 20982])).
% 15.86/11.08 tff(22918,plain,
% 15.86/11.08 (((~![B: $i] : ((~less_3(B)) | (v90(constB162, B) <=> v129(constB162, B)))) | ((~less_3(bitIndex0)) | (v90(constB162, bitIndex0) <=> v129(constB162, bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v90(constB162, B) <=> v129(constB162, B)))) | (~less_3(bitIndex0)) | (v90(constB162, bitIndex0) <=> v129(constB162, bitIndex0)))),
% 15.86/11.08 inference(rewrite,[status(thm)],[])).
% 15.86/11.08 tff(22919,plain,
% 15.86/11.08 ((~![B: $i] : ((~less_3(B)) | (v90(constB162, B) <=> v129(constB162, B)))) | ((~less_3(bitIndex0)) | (v90(constB162, bitIndex0) <=> v129(constB162, bitIndex0)))),
% 15.86/11.08 inference(quant_inst,[status(thm)],[])).
% 15.86/11.08 tff(22920,plain,
% 15.86/11.08 ((~![B: $i] : ((~less_3(B)) | (v90(constB162, B) <=> v129(constB162, B)))) | (~less_3(bitIndex0)) | (v90(constB162, bitIndex0) <=> v129(constB162, bitIndex0))),
% 15.86/11.08 inference(modus_ponens,[status(thm)],[22919, 22918])).
% 15.86/11.08 tff(22921,plain,
% 15.86/11.08 (v90(constB162, bitIndex0) <=> v129(constB162, bitIndex0)),
% 15.86/11.08 inference(unit_resolution,[status(thm)],[22920, 5004, 22873])).
% 15.86/11.08 tff(22922,plain,
% 15.86/11.08 (((~![B: $i] : ((~less_3(B)) | (v129(constB162, B) <=> v127(constB161, B)))) | ((~less_3(bitIndex0)) | (v129(constB162, bitIndex0) <=> v127(constB161, bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v129(constB162, B) <=> v127(constB161, B)))) | (~less_3(bitIndex0)) | (v129(constB162, bitIndex0) <=> v127(constB161, bitIndex0)))),
% 15.86/11.08 inference(rewrite,[status(thm)],[])).
% 15.86/11.08 tff(22923,plain,
% 15.86/11.08 ((~![B: $i] : ((~less_3(B)) | (v129(constB162, B) <=> v127(constB161, B)))) | ((~less_3(bitIndex0)) | (v129(constB162, bitIndex0) <=> v127(constB161, bitIndex0)))),
% 15.86/11.08 inference(quant_inst,[status(thm)],[])).
% 15.86/11.08 tff(22924,plain,
% 15.86/11.08 ((~![B: $i] : ((~less_3(B)) | (v129(constB162, B) <=> v127(constB161, B)))) | (~less_3(bitIndex0)) | (v129(constB162, bitIndex0) <=> v127(constB161, bitIndex0))),
% 15.86/11.08 inference(modus_ponens,[status(thm)],[22923, 22922])).
% 15.86/11.08 tff(22925,plain,
% 15.86/11.08 (v129(constB162, bitIndex0) <=> v127(constB161, bitIndex0)),
% 15.86/11.08 inference(unit_resolution,[status(thm)],[22924, 5004, 22881])).
% 15.86/11.08 tff(22926,plain,
% 15.86/11.08 (((~![B: $i] : ((~less_3(B)) | (v127(constB161, B) <=> v130(constB161, B)))) | ((~less_3(bitIndex0)) | (v127(constB161, bitIndex0) <=> v130(constB161, bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v127(constB161, B) <=> v130(constB161, B)))) | (~less_3(bitIndex0)) | (v127(constB161, bitIndex0) <=> v130(constB161, bitIndex0)))),
% 15.86/11.08 inference(rewrite,[status(thm)],[])).
% 15.86/11.08 tff(22927,plain,
% 15.86/11.08 ((~![B: $i] : ((~less_3(B)) | (v127(constB161, B) <=> v130(constB161, B)))) | ((~less_3(bitIndex0)) | (v127(constB161, bitIndex0) <=> v130(constB161, bitIndex0)))),
% 15.86/11.08 inference(quant_inst,[status(thm)],[])).
% 15.86/11.08 tff(22928,plain,
% 15.86/11.08 ((~![B: $i] : ((~less_3(B)) | (v127(constB161, B) <=> v130(constB161, B)))) | (~less_3(bitIndex0)) | (v127(constB161, bitIndex0) <=> v130(constB161, bitIndex0))),
% 15.86/11.08 inference(modus_ponens,[status(thm)],[22927, 22926])).
% 15.86/11.08 tff(22929,plain,
% 15.86/11.08 (v127(constB161, bitIndex0) <=> v130(constB161, bitIndex0)),
% 15.86/11.08 inference(unit_resolution,[status(thm)],[22928, 5004, 22889])).
% 15.86/11.08 tff(22930,plain,
% 15.86/11.08 (((~![B: $i] : ((~less_3(B)) | (v130(constB161, B) <=> b100(B)))) | ((~less_3(bitIndex0)) | (v130(constB161, bitIndex0) <=> b100(bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v130(constB161, B) <=> b100(B)))) | (~less_3(bitIndex0)) | (v130(constB161, bitIndex0) <=> b100(bitIndex0)))),
% 15.86/11.08 inference(rewrite,[status(thm)],[])).
% 15.86/11.08 tff(22931,plain,
% 15.86/11.08 ((~![B: $i] : ((~less_3(B)) | (v130(constB161, B) <=> b100(B)))) | ((~less_3(bitIndex0)) | (v130(constB161, bitIndex0) <=> b100(bitIndex0)))),
% 15.86/11.08 inference(quant_inst,[status(thm)],[])).
% 15.86/11.08 tff(22932,plain,
% 15.86/11.08 ((~![B: $i] : ((~less_3(B)) | (v130(constB161, B) <=> b100(B)))) | (~less_3(bitIndex0)) | (v130(constB161, bitIndex0) <=> b100(bitIndex0))),
% 15.86/11.08 inference(modus_ponens,[status(thm)],[22931, 22930])).
% 15.86/11.08 tff(22933,plain,
% 15.86/11.08 (v130(constB161, bitIndex0) <=> b100(bitIndex0)),
% 15.86/11.08 inference(unit_resolution,[status(thm)],[22932, 5004, 22898])).
% 15.86/11.08 tff(22934,plain,
% 15.86/11.08 ((~(v130(constB161, bitIndex0) <=> b100(bitIndex0))) | (~v130(constB161, bitIndex0)) | b100(bitIndex0)),
% 15.86/11.08 inference(tautology,[status(thm)],[])).
% 15.86/11.08 tff(22935,plain,
% 15.86/11.08 ((~(v130(constB161, bitIndex0) <=> b100(bitIndex0))) | (~v130(constB161, bitIndex0))),
% 15.86/11.08 inference(unit_resolution,[status(thm)],[22934, 5243])).
% 15.86/11.08 tff(22936,plain,
% 15.86/11.08 (~v130(constB161, bitIndex0)),
% 15.86/11.08 inference(unit_resolution,[status(thm)],[22935, 22933])).
% 15.86/11.08 tff(22937,plain,
% 15.86/11.08 ((~(v127(constB161, bitIndex0) <=> v130(constB161, bitIndex0))) | (~v127(constB161, bitIndex0)) | v130(constB161, bitIndex0)),
% 15.86/11.08 inference(tautology,[status(thm)],[])).
% 15.86/11.08 tff(22938,plain,
% 15.86/11.08 (~v127(constB161, bitIndex0)),
% 15.86/11.08 inference(unit_resolution,[status(thm)],[22937, 22936, 22929])).
% 15.86/11.08 tff(22939,plain,
% 15.86/11.08 ((~(v129(constB162, bitIndex0) <=> v127(constB161, bitIndex0))) | (~v129(constB162, bitIndex0)) | v127(constB161, bitIndex0)),
% 15.86/11.08 inference(tautology,[status(thm)],[])).
% 15.86/11.08 tff(22940,plain,
% 15.86/11.08 (~v129(constB162, bitIndex0)),
% 15.86/11.08 inference(unit_resolution,[status(thm)],[22939, 22938, 22925])).
% 15.86/11.08 tff(22941,plain,
% 15.86/11.08 ((~(v90(constB162, bitIndex0) <=> v129(constB162, bitIndex0))) | (~v90(constB162, bitIndex0)) | v129(constB162, bitIndex0)),
% 15.86/11.08 inference(tautology,[status(thm)],[])).
% 15.86/11.08 tff(22942,plain,
% 15.86/11.08 (~v90(constB162, bitIndex0)),
% 15.86/11.08 inference(unit_resolution,[status(thm)],[22941, 22940, 22921])).
% 15.86/11.08 tff(22943,plain,
% 15.86/11.08 ((~(v90(constB163, bitIndex0) <=> v90(constB162, bitIndex0))) | (~v90(constB163, bitIndex0)) | v90(constB162, bitIndex0)),
% 15.86/11.08 inference(tautology,[status(thm)],[])).
% 15.86/11.08 tff(22944,plain,
% 15.86/11.08 (~v90(constB163, bitIndex0)),
% 15.86/11.08 inference(unit_resolution,[status(thm)],[22943, 22942, 22917])).
% 15.86/11.08 tff(22945,plain,
% 15.86/11.08 (((~![B: $i] : ((~less_3(B)) | (v90(constB163, B) <=> v90(constB162, B)))) | ((~less_3(bitIndex1)) | (v90(constB163, bitIndex1) <=> v90(constB162, bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v90(constB163, B) <=> v90(constB162, B)))) | (~less_3(bitIndex1)) | (v90(constB163, bitIndex1) <=> v90(constB162, bitIndex1)))),
% 15.86/11.08 inference(rewrite,[status(thm)],[])).
% 15.86/11.08 tff(22946,plain,
% 15.86/11.08 ((~![B: $i] : ((~less_3(B)) | (v90(constB163, B) <=> v90(constB162, B)))) | ((~less_3(bitIndex1)) | (v90(constB163, bitIndex1) <=> v90(constB162, bitIndex1)))),
% 15.86/11.08 inference(quant_inst,[status(thm)],[])).
% 15.86/11.08 tff(22947,plain,
% 15.86/11.08 ((~![B: $i] : ((~less_3(B)) | (v90(constB163, B) <=> v90(constB162, B)))) | (~less_3(bitIndex1)) | (v90(constB163, bitIndex1) <=> v90(constB162, bitIndex1))),
% 15.86/11.08 inference(modus_ponens,[status(thm)],[22946, 22945])).
% 15.86/11.08 tff(22948,plain,
% 15.86/11.08 (v90(constB163, bitIndex1) <=> v90(constB162, bitIndex1)),
% 15.86/11.08 inference(unit_resolution,[status(thm)],[22947, 5017, 20982])).
% 15.86/11.08 tff(22949,plain,
% 15.86/11.08 (((~![B: $i] : ((~less_3(B)) | (v90(constB162, B) <=> v129(constB162, B)))) | ((~less_3(bitIndex1)) | (v90(constB162, bitIndex1) <=> v129(constB162, bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v90(constB162, B) <=> v129(constB162, B)))) | (~less_3(bitIndex1)) | (v90(constB162, bitIndex1) <=> v129(constB162, bitIndex1)))),
% 15.86/11.08 inference(rewrite,[status(thm)],[])).
% 15.86/11.08 tff(22950,plain,
% 15.86/11.08 ((~![B: $i] : ((~less_3(B)) | (v90(constB162, B) <=> v129(constB162, B)))) | ((~less_3(bitIndex1)) | (v90(constB162, bitIndex1) <=> v129(constB162, bitIndex1)))),
% 15.86/11.08 inference(quant_inst,[status(thm)],[])).
% 15.86/11.08 tff(22951,plain,
% 15.86/11.08 ((~![B: $i] : ((~less_3(B)) | (v90(constB162, B) <=> v129(constB162, B)))) | (~less_3(bitIndex1)) | (v90(constB162, bitIndex1) <=> v129(constB162, bitIndex1))),
% 15.86/11.08 inference(modus_ponens,[status(thm)],[22950, 22949])).
% 15.86/11.08 tff(22952,plain,
% 15.86/11.08 (v90(constB162, bitIndex1) <=> v129(constB162, bitIndex1)),
% 15.86/11.08 inference(unit_resolution,[status(thm)],[22951, 5017, 22873])).
% 15.86/11.08 tff(22953,plain,
% 15.86/11.08 (((~![B: $i] : ((~less_3(B)) | (v129(constB162, B) <=> v127(constB161, B)))) | ((~less_3(bitIndex1)) | (v129(constB162, bitIndex1) <=> v127(constB161, bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v129(constB162, B) <=> v127(constB161, B)))) | (~less_3(bitIndex1)) | (v129(constB162, bitIndex1) <=> v127(constB161, bitIndex1)))),
% 15.86/11.08 inference(rewrite,[status(thm)],[])).
% 15.86/11.08 tff(22954,plain,
% 15.86/11.08 ((~![B: $i] : ((~less_3(B)) | (v129(constB162, B) <=> v127(constB161, B)))) | ((~less_3(bitIndex1)) | (v129(constB162, bitIndex1) <=> v127(constB161, bitIndex1)))),
% 15.86/11.08 inference(quant_inst,[status(thm)],[])).
% 15.86/11.08 tff(22955,plain,
% 15.86/11.08 ((~![B: $i] : ((~less_3(B)) | (v129(constB162, B) <=> v127(constB161, B)))) | (~less_3(bitIndex1)) | (v129(constB162, bitIndex1) <=> v127(constB161, bitIndex1))),
% 15.86/11.08 inference(modus_ponens,[status(thm)],[22954, 22953])).
% 15.86/11.08 tff(22956,plain,
% 15.86/11.08 (v129(constB162, bitIndex1) <=> v127(constB161, bitIndex1)),
% 15.86/11.08 inference(unit_resolution,[status(thm)],[22955, 5017, 22881])).
% 15.86/11.08 tff(22957,plain,
% 15.86/11.08 (((~![B: $i] : ((~less_3(B)) | (v127(constB161, B) <=> v130(constB161, B)))) | ((~less_3(bitIndex1)) | (v127(constB161, bitIndex1) <=> v130(constB161, bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v127(constB161, B) <=> v130(constB161, B)))) | (~less_3(bitIndex1)) | (v127(constB161, bitIndex1) <=> v130(constB161, bitIndex1)))),
% 15.86/11.08 inference(rewrite,[status(thm)],[])).
% 15.86/11.08 tff(22958,plain,
% 15.86/11.08 ((~![B: $i] : ((~less_3(B)) | (v127(constB161, B) <=> v130(constB161, B)))) | ((~less_3(bitIndex1)) | (v127(constB161, bitIndex1) <=> v130(constB161, bitIndex1)))),
% 15.86/11.08 inference(quant_inst,[status(thm)],[])).
% 15.86/11.08 tff(22959,plain,
% 15.86/11.08 ((~![B: $i] : ((~less_3(B)) | (v127(constB161, B) <=> v130(constB161, B)))) | (~less_3(bitIndex1)) | (v127(constB161, bitIndex1) <=> v130(constB161, bitIndex1))),
% 15.86/11.09 inference(modus_ponens,[status(thm)],[22958, 22957])).
% 15.86/11.09 tff(22960,plain,
% 15.86/11.09 (v127(constB161, bitIndex1) <=> v130(constB161, bitIndex1)),
% 15.86/11.09 inference(unit_resolution,[status(thm)],[22959, 5017, 22889])).
% 15.86/11.09 tff(22961,plain,
% 15.86/11.09 (((~![B: $i] : ((~less_3(B)) | (v130(constB161, B) <=> b100(B)))) | ((~less_3(bitIndex1)) | (v130(constB161, bitIndex1) <=> b100(bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v130(constB161, B) <=> b100(B)))) | (~less_3(bitIndex1)) | (v130(constB161, bitIndex1) <=> b100(bitIndex1)))),
% 15.86/11.09 inference(rewrite,[status(thm)],[])).
% 15.86/11.09 tff(22962,plain,
% 15.86/11.09 ((~![B: $i] : ((~less_3(B)) | (v130(constB161, B) <=> b100(B)))) | ((~less_3(bitIndex1)) | (v130(constB161, bitIndex1) <=> b100(bitIndex1)))),
% 15.86/11.09 inference(quant_inst,[status(thm)],[])).
% 15.86/11.09 tff(22963,plain,
% 15.86/11.09 ((~![B: $i] : ((~less_3(B)) | (v130(constB161, B) <=> b100(B)))) | (~less_3(bitIndex1)) | (v130(constB161, bitIndex1) <=> b100(bitIndex1))),
% 15.86/11.09 inference(modus_ponens,[status(thm)],[22962, 22961])).
% 15.86/11.09 tff(22964,plain,
% 15.86/11.09 (v130(constB161, bitIndex1) <=> b100(bitIndex1)),
% 15.86/11.09 inference(unit_resolution,[status(thm)],[22963, 5017, 22898])).
% 15.86/11.09 tff(22965,plain,
% 15.86/11.09 ((~(v130(constB161, bitIndex1) <=> b100(bitIndex1))) | (~v130(constB161, bitIndex1)) | b100(bitIndex1)),
% 15.86/11.09 inference(tautology,[status(thm)],[])).
% 15.86/11.09 tff(22966,plain,
% 15.86/11.09 ((~(v130(constB161, bitIndex1) <=> b100(bitIndex1))) | (~v130(constB161, bitIndex1))),
% 15.86/11.09 inference(unit_resolution,[status(thm)],[22965, 5277])).
% 15.86/11.09 tff(22967,plain,
% 15.86/11.09 (~v130(constB161, bitIndex1)),
% 15.86/11.09 inference(unit_resolution,[status(thm)],[22966, 22964])).
% 15.86/11.09 tff(22968,plain,
% 15.86/11.09 ((~(v127(constB161, bitIndex1) <=> v130(constB161, bitIndex1))) | (~v127(constB161, bitIndex1)) | v130(constB161, bitIndex1)),
% 15.86/11.09 inference(tautology,[status(thm)],[])).
% 15.86/11.09 tff(22969,plain,
% 15.86/11.09 (~v127(constB161, bitIndex1)),
% 15.86/11.09 inference(unit_resolution,[status(thm)],[22968, 22967, 22960])).
% 15.86/11.09 tff(22970,plain,
% 15.86/11.09 ((~(v129(constB162, bitIndex1) <=> v127(constB161, bitIndex1))) | (~v129(constB162, bitIndex1)) | v127(constB161, bitIndex1)),
% 15.86/11.09 inference(tautology,[status(thm)],[])).
% 15.86/11.09 tff(22971,plain,
% 15.86/11.09 (~v129(constB162, bitIndex1)),
% 15.86/11.09 inference(unit_resolution,[status(thm)],[22970, 22969, 22956])).
% 15.86/11.09 tff(22972,plain,
% 15.86/11.09 ((~(v90(constB162, bitIndex1) <=> v129(constB162, bitIndex1))) | (~v90(constB162, bitIndex1)) | v129(constB162, bitIndex1)),
% 15.86/11.09 inference(tautology,[status(thm)],[])).
% 15.86/11.09 tff(22973,plain,
% 15.86/11.09 (~v90(constB162, bitIndex1)),
% 15.86/11.09 inference(unit_resolution,[status(thm)],[22972, 22971, 22952])).
% 15.86/11.09 tff(22974,plain,
% 15.86/11.09 ((~(v90(constB163, bitIndex1) <=> v90(constB162, bitIndex1))) | (~v90(constB163, bitIndex1)) | v90(constB162, bitIndex1)),
% 15.86/11.09 inference(tautology,[status(thm)],[])).
% 15.86/11.09 tff(22975,plain,
% 15.86/11.09 (~v90(constB163, bitIndex1)),
% 15.86/11.09 inference(unit_resolution,[status(thm)],[22974, 22973, 22948])).
% 15.86/11.09 tff(22976,plain,
% 15.86/11.09 ((~((~v90(constB163, bitIndex2)) | v90(constB163, bitIndex1) | v90(constB163, bitIndex0))) | (~v90(constB163, bitIndex2)) | v90(constB163, bitIndex1) | v90(constB163, bitIndex0)),
% 15.86/11.09 inference(tautology,[status(thm)],[])).
% 15.86/11.09 tff(22977,plain,
% 15.86/11.09 (~((~v90(constB163, bitIndex2)) | v90(constB163, bitIndex1) | v90(constB163, bitIndex0))),
% 15.86/11.09 inference(unit_resolution,[status(thm)],[22976, 22975, 22944, 22913])).
% 15.86/11.09 tff(22978,plain,
% 15.86/11.09 ((~(v123(constB163) <=> (~((~v90(constB163, bitIndex2)) | v90(constB163, bitIndex1) | v90(constB163, bitIndex0))))) | v123(constB163) | ((~v90(constB163, bitIndex2)) | v90(constB163, bitIndex1) | v90(constB163, bitIndex0))),
% 15.86/11.09 inference(tautology,[status(thm)],[])).
% 15.86/11.09 tff(22979,plain,
% 15.86/11.09 (v123(constB163)),
% 15.86/11.09 inference(unit_resolution,[status(thm)],[22978, 22977, 20954])).
% 15.86/11.09 tff(22980,plain,
% 15.86/11.09 ((v116(constB163) | v123(constB163)) | (~v123(constB163))),
% 15.86/11.09 inference(tautology,[status(thm)],[])).
% 15.86/11.09 tff(22981,plain,
% 15.86/11.09 (v116(constB163) | v123(constB163)),
% 15.86/11.09 inference(unit_resolution,[status(thm)],[22980, 22979])).
% 15.86/11.09 tff(22982,plain,
% 15.86/11.09 ((~(v115(constB163) <=> (v116(constB163) | v123(constB163)))) | v115(constB163) | (~(v116(constB163) | v123(constB163)))),
% 15.86/11.09 inference(tautology,[status(thm)],[])).
% 15.86/11.09 tff(22983,plain,
% 15.86/11.09 (v115(constB163)),
% 15.86/11.09 inference(unit_resolution,[status(thm)],[22982, 22981, 20947])).
% 15.86/11.09 tff(22984,plain,
% 15.86/11.09 ((v115(constB163) | v124(constB163)) | (~v115(constB163))),
% 15.86/11.09 inference(tautology,[status(thm)],[])).
% 15.86/11.09 tff(22985,plain,
% 15.86/11.09 (v115(constB163) | v124(constB163)),
% 15.86/11.09 inference(unit_resolution,[status(thm)],[22984, 22983])).
% 15.86/11.09 tff(22986,plain,
% 15.86/11.09 ((~(v114(constB163) <=> (v115(constB163) | v124(constB163)))) | v114(constB163) | (~(v115(constB163) | v124(constB163)))),
% 15.86/11.09 inference(tautology,[status(thm)],[])).
% 15.86/11.09 tff(22987,plain,
% 15.86/11.09 (v114(constB163)),
% 15.86/11.09 inference(unit_resolution,[status(thm)],[22986, 22985, 20945])).
% 15.86/11.09 tff(22988,plain,
% 15.86/11.09 ((v114(constB163) | v125(constB163)) | (~v114(constB163))),
% 15.86/11.09 inference(tautology,[status(thm)],[])).
% 15.86/11.09 tff(22989,plain,
% 15.86/11.09 (v114(constB163) | v125(constB163)),
% 15.86/11.09 inference(unit_resolution,[status(thm)],[22988, 22987])).
% 15.86/11.09 tff(22990,plain,
% 15.86/11.09 ((~(v113(constB163) <=> (v114(constB163) | v125(constB163)))) | v113(constB163) | (~(v114(constB163) | v125(constB163)))),
% 15.86/11.09 inference(tautology,[status(thm)],[])).
% 15.86/11.09 tff(22991,plain,
% 15.86/11.09 (v113(constB163)),
% 15.86/11.09 inference(unit_resolution,[status(thm)],[22990, 22989, 20943])).
% 15.86/11.09 tff(22992,plain,
% 15.86/11.09 ((~![VarCurr: $i] : ((~v126(VarCurr)) <=> v111(VarCurr))) | ((~v126(constB163)) <=> v111(constB163))),
% 15.86/11.09 inference(quant_inst,[status(thm)],[])).
% 15.86/11.09 tff(22993,plain,
% 15.86/11.09 ((~v126(constB163)) <=> v111(constB163)),
% 15.86/11.09 inference(unit_resolution,[status(thm)],[22992, 5074])).
% 15.86/11.09 tff(22994,plain,
% 15.86/11.09 ((~![VarCurr: $i] : (v111(VarCurr) <=> v26(VarCurr))) | (v111(constB163) <=> v26(constB163))),
% 15.86/11.09 inference(quant_inst,[status(thm)],[])).
% 15.86/11.09 tff(22995,plain,
% 15.86/11.09 (v111(constB163) <=> v26(constB163)),
% 15.86/11.09 inference(unit_resolution,[status(thm)],[22994, 5086])).
% 15.86/11.09 tff(22996,plain,
% 15.86/11.09 ((~![VarCurr: $i] : (~v26(VarCurr))) | (~v26(constB163))),
% 15.86/11.09 inference(quant_inst,[status(thm)],[])).
% 15.86/11.09 tff(22997,plain,
% 15.86/11.09 (~v26(constB163)),
% 15.86/11.09 inference(unit_resolution,[status(thm)],[22996, 5098])).
% 15.86/11.09 tff(22998,plain,
% 15.86/11.09 ((~(v111(constB163) <=> v26(constB163))) | (~v111(constB163)) | v26(constB163)),
% 15.86/11.09 inference(tautology,[status(thm)],[])).
% 15.86/11.09 tff(22999,plain,
% 15.86/11.09 ((~(v111(constB163) <=> v26(constB163))) | (~v111(constB163))),
% 15.86/11.09 inference(unit_resolution,[status(thm)],[22998, 22997])).
% 15.86/11.09 tff(23000,plain,
% 15.86/11.09 (~v111(constB163)),
% 15.86/11.09 inference(unit_resolution,[status(thm)],[22999, 22995])).
% 15.86/11.09 tff(23001,plain,
% 15.86/11.09 ((~((~v126(constB163)) <=> v111(constB163))) | v126(constB163) | v111(constB163)),
% 15.86/11.09 inference(tautology,[status(thm)],[])).
% 15.86/11.09 tff(23002,plain,
% 15.86/11.09 ((~((~v126(constB163)) <=> v111(constB163))) | v126(constB163)),
% 15.86/11.09 inference(unit_resolution,[status(thm)],[23001, 23000])).
% 15.86/11.09 tff(23003,plain,
% 15.86/11.09 (v126(constB163)),
% 15.86/11.09 inference(unit_resolution,[status(thm)],[23002, 22993])).
% 15.86/11.09 tff(23004,plain,
% 15.86/11.09 ((~((~v113(constB163)) | (~v126(constB163)))) | (~v113(constB163)) | (~v126(constB163))),
% 15.86/11.09 inference(tautology,[status(thm)],[])).
% 15.86/11.09 tff(23005,plain,
% 15.86/11.09 ((~((~v113(constB163)) | (~v126(constB163)))) | (~v113(constB163))),
% 15.86/11.09 inference(unit_resolution,[status(thm)],[23004, 23003])).
% 15.86/11.09 tff(23006,plain,
% 15.86/11.09 (~((~v113(constB163)) | (~v126(constB163)))),
% 15.86/11.09 inference(unit_resolution,[status(thm)],[23005, 22991])).
% 15.86/11.09 tff(23007,plain,
% 15.86/11.09 ((~(v112(constB163) <=> (~((~v113(constB163)) | (~v126(constB163)))))) | v112(constB163) | ((~v113(constB163)) | (~v126(constB163)))),
% 15.86/11.09 inference(tautology,[status(thm)],[])).
% 15.86/11.09 tff(23008,plain,
% 15.86/11.09 (v112(constB163)),
% 15.86/11.09 inference(unit_resolution,[status(thm)],[23007, 23006, 20941])).
% 15.86/11.09 tff(23009,plain,
% 15.86/11.09 ((v111(constB163) | v112(constB163)) | (~v112(constB163))),
% 15.86/11.09 inference(tautology,[status(thm)],[])).
% 15.86/11.09 tff(23010,plain,
% 15.86/11.09 (v111(constB163) | v112(constB163)),
% 15.86/11.09 inference(unit_resolution,[status(thm)],[23009, 23008])).
% 15.86/11.09 tff(23011,plain,
% 15.86/11.09 ((~(v108(constB163) <=> (v111(constB163) | v112(constB163)))) | v108(constB163) | (~(v111(constB163) | v112(constB163)))),
% 15.86/11.09 inference(tautology,[status(thm)],[])).
% 15.86/11.09 tff(23012,plain,
% 15.86/11.09 (v108(constB163)),
% 15.86/11.09 inference(unit_resolution,[status(thm)],[23011, 23010, 20939])).
% 15.86/11.09 tff(23013,plain,
% 15.86/11.09 ((~(v110(constB164) <=> v108(constB163))) | v110(constB164) | (~v108(constB163))),
% 15.86/11.09 inference(tautology,[status(thm)],[])).
% 15.86/11.09 tff(23014,plain,
% 15.86/11.09 (v110(constB164)),
% 15.86/11.09 inference(unit_resolution,[status(thm)],[23013, 23012, 20937])).
% 15.86/11.09 tff(23015,plain,
% 15.86/11.09 ((~((~v101(constB164)) | (~v110(constB164)))) | (~v101(constB164)) | (~v110(constB164))),
% 15.86/11.09 inference(tautology,[status(thm)],[])).
% 15.86/11.09 tff(23016,plain,
% 15.86/11.09 (~((~v101(constB164)) | (~v110(constB164)))),
% 15.86/11.09 inference(unit_resolution,[status(thm)],[23015, 23014, 20933])).
% 15.86/11.09 tff(23017,plain,
% 15.86/11.09 ((~(v100(constB164) <=> (~((~v101(constB164)) | (~v110(constB164)))))) | v100(constB164) | ((~v101(constB164)) | (~v110(constB164)))),
% 15.86/11.09 inference(tautology,[status(thm)],[])).
% 15.86/11.09 tff(23018,plain,
% 15.86/11.09 (v100(constB164)),
% 15.86/11.09 inference(unit_resolution,[status(thm)],[23017, 23016, 20902])).
% 15.86/11.09 tff(23019,plain,
% 15.86/11.09 (((~![VarNext: $i] : ((~v100(VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v129(VarNext, B))))) | ((~v100(constB164)) | ![B: $i] : ((~less_3(B)) | (v90(constB164, B) <=> v129(constB164, B))))) <=> ((~![VarNext: $i] : ((~v100(VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v129(VarNext, B))))) | (~v100(constB164)) | ![B: $i] : ((~less_3(B)) | (v90(constB164, B) <=> v129(constB164, B))))),
% 15.86/11.09 inference(rewrite,[status(thm)],[])).
% 15.86/11.09 tff(23020,plain,
% 15.86/11.09 ((~![VarNext: $i] : ((~v100(VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v129(VarNext, B))))) | ((~v100(constB164)) | ![B: $i] : ((~less_3(B)) | (v90(constB164, B) <=> v129(constB164, B))))),
% 15.86/11.09 inference(quant_inst,[status(thm)],[])).
% 15.86/11.09 tff(23021,plain,
% 15.86/11.09 ((~![VarNext: $i] : ((~v100(VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v129(VarNext, B))))) | (~v100(constB164)) | ![B: $i] : ((~less_3(B)) | (v90(constB164, B) <=> v129(constB164, B)))),
% 15.86/11.09 inference(modus_ponens,[status(thm)],[23020, 23019])).
% 15.86/11.09 tff(23022,plain,
% 15.86/11.09 ((~v100(constB164)) | ![B: $i] : ((~less_3(B)) | (v90(constB164, B) <=> v129(constB164, B)))),
% 15.86/11.09 inference(unit_resolution,[status(thm)],[23021, 5134])).
% 15.86/11.09 tff(23023,plain,
% 15.86/11.09 (![B: $i] : ((~less_3(B)) | (v90(constB164, B) <=> v129(constB164, B)))),
% 15.86/11.09 inference(unit_resolution,[status(thm)],[23022, 23018])).
% 15.86/11.09 tff(23024,plain,
% 15.86/11.09 (((~![B: $i] : ((~less_3(B)) | (v90(constB164, B) <=> v129(constB164, B)))) | ((~less_3(bitIndex2)) | (v90(constB164, bitIndex2) <=> v129(constB164, bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v90(constB164, B) <=> v129(constB164, B)))) | (~less_3(bitIndex2)) | (v90(constB164, bitIndex2) <=> v129(constB164, bitIndex2)))),
% 15.86/11.09 inference(rewrite,[status(thm)],[])).
% 15.86/11.09 tff(23025,plain,
% 15.86/11.09 ((~![B: $i] : ((~less_3(B)) | (v90(constB164, B) <=> v129(constB164, B)))) | ((~less_3(bitIndex2)) | (v90(constB164, bitIndex2) <=> v129(constB164, bitIndex2)))),
% 15.86/11.09 inference(quant_inst,[status(thm)],[])).
% 15.86/11.09 tff(23026,plain,
% 15.86/11.09 ((~![B: $i] : ((~less_3(B)) | (v90(constB164, B) <=> v129(constB164, B)))) | (~less_3(bitIndex2)) | (v90(constB164, bitIndex2) <=> v129(constB164, bitIndex2))),
% 15.86/11.09 inference(modus_ponens,[status(thm)],[23025, 23024])).
% 15.86/11.09 tff(23027,plain,
% 15.86/11.09 (v90(constB164, bitIndex2) <=> v129(constB164, bitIndex2)),
% 15.86/11.09 inference(unit_resolution,[status(thm)],[23026, 413, 23023])).
% 15.86/11.09 tff(23028,plain,
% 15.86/11.09 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v129(VarNext, B) <=> v127(VarCurr, B))))) | ((~nextState(constB163, constB164)) | ![B: $i] : ((~less_3(B)) | (v129(constB164, B) <=> v127(constB163, B))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v129(VarNext, B) <=> v127(VarCurr, B))))) | (~nextState(constB163, constB164)) | ![B: $i] : ((~less_3(B)) | (v129(constB164, B) <=> v127(constB163, B))))),
% 15.86/11.09 inference(rewrite,[status(thm)],[])).
% 15.86/11.09 tff(23029,plain,
% 15.86/11.09 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v129(VarNext, B) <=> v127(VarCurr, B))))) | ((~nextState(constB163, constB164)) | ![B: $i] : ((~less_3(B)) | (v129(constB164, B) <=> v127(constB163, B))))),
% 15.86/11.09 inference(quant_inst,[status(thm)],[])).
% 15.86/11.09 tff(23030,plain,
% 15.86/11.09 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v129(VarNext, B) <=> v127(VarCurr, B))))) | (~nextState(constB163, constB164)) | ![B: $i] : ((~less_3(B)) | (v129(constB164, B) <=> v127(constB163, B)))),
% 15.86/11.09 inference(modus_ponens,[status(thm)],[23029, 23028])).
% 15.86/11.09 tff(23031,plain,
% 15.86/11.09 (![B: $i] : ((~less_3(B)) | (v129(constB164, B) <=> v127(constB163, B)))),
% 15.86/11.09 inference(unit_resolution,[status(thm)],[23030, 20898, 5156])).
% 15.86/11.09 tff(23032,plain,
% 15.86/11.09 (((~![B: $i] : ((~less_3(B)) | (v129(constB164, B) <=> v127(constB163, B)))) | ((~less_3(bitIndex2)) | (v129(constB164, bitIndex2) <=> v127(constB163, bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v129(constB164, B) <=> v127(constB163, B)))) | (~less_3(bitIndex2)) | (v129(constB164, bitIndex2) <=> v127(constB163, bitIndex2)))),
% 15.86/11.09 inference(rewrite,[status(thm)],[])).
% 15.86/11.09 tff(23033,plain,
% 15.86/11.09 ((~![B: $i] : ((~less_3(B)) | (v129(constB164, B) <=> v127(constB163, B)))) | ((~less_3(bitIndex2)) | (v129(constB164, bitIndex2) <=> v127(constB163, bitIndex2)))),
% 15.86/11.09 inference(quant_inst,[status(thm)],[])).
% 15.86/11.09 tff(23034,plain,
% 15.86/11.09 ((~![B: $i] : ((~less_3(B)) | (v129(constB164, B) <=> v127(constB163, B)))) | (~less_3(bitIndex2)) | (v129(constB164, bitIndex2) <=> v127(constB163, bitIndex2))),
% 15.86/11.09 inference(modus_ponens,[status(thm)],[23033, 23032])).
% 15.86/11.09 tff(23035,plain,
% 15.86/11.09 (v129(constB164, bitIndex2) <=> v127(constB163, bitIndex2)),
% 15.86/11.09 inference(unit_resolution,[status(thm)],[23034, 413, 23031])).
% 15.86/11.09 tff(23036,plain,
% 15.86/11.09 (((~![VarCurr: $i] : (v111(VarCurr) | ![B: $i] : ((~less_3(B)) | (v127(VarCurr, B) <=> v130(VarCurr, B))))) | (v111(constB163) | ![B: $i] : ((~less_3(B)) | (v127(constB163, B) <=> v130(constB163, B))))) <=> ((~![VarCurr: $i] : (v111(VarCurr) | ![B: $i] : ((~less_3(B)) | (v127(VarCurr, B) <=> v130(VarCurr, B))))) | v111(constB163) | ![B: $i] : ((~less_3(B)) | (v127(constB163, B) <=> v130(constB163, B))))),
% 15.86/11.09 inference(rewrite,[status(thm)],[])).
% 15.86/11.09 tff(23037,plain,
% 15.86/11.09 ((~![VarCurr: $i] : (v111(VarCurr) | ![B: $i] : ((~less_3(B)) | (v127(VarCurr, B) <=> v130(VarCurr, B))))) | (v111(constB163) | ![B: $i] : ((~less_3(B)) | (v127(constB163, B) <=> v130(constB163, B))))),
% 15.86/11.09 inference(quant_inst,[status(thm)],[])).
% 15.86/11.09 tff(23038,plain,
% 15.86/11.09 ((~![VarCurr: $i] : (v111(VarCurr) | ![B: $i] : ((~less_3(B)) | (v127(VarCurr, B) <=> v130(VarCurr, B))))) | v111(constB163) | ![B: $i] : ((~less_3(B)) | (v127(constB163, B) <=> v130(constB163, B)))),
% 15.86/11.09 inference(modus_ponens,[status(thm)],[23037, 23036])).
% 15.86/11.09 tff(23039,plain,
% 15.86/11.09 (![B: $i] : ((~less_3(B)) | (v127(constB163, B) <=> v130(constB163, B)))),
% 15.86/11.09 inference(unit_resolution,[status(thm)],[23038, 5177, 23000])).
% 15.86/11.09 tff(23040,plain,
% 15.86/11.09 (((~![B: $i] : ((~less_3(B)) | (v127(constB163, B) <=> v130(constB163, B)))) | ((~less_3(bitIndex2)) | (v127(constB163, bitIndex2) <=> v130(constB163, bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v127(constB163, B) <=> v130(constB163, B)))) | (~less_3(bitIndex2)) | (v127(constB163, bitIndex2) <=> v130(constB163, bitIndex2)))),
% 15.86/11.09 inference(rewrite,[status(thm)],[])).
% 15.86/11.09 tff(23041,plain,
% 15.86/11.09 ((~![B: $i] : ((~less_3(B)) | (v127(constB163, B) <=> v130(constB163, B)))) | ((~less_3(bitIndex2)) | (v127(constB163, bitIndex2) <=> v130(constB163, bitIndex2)))),
% 15.86/11.09 inference(quant_inst,[status(thm)],[])).
% 15.86/11.09 tff(23042,plain,
% 15.86/11.09 ((~![B: $i] : ((~less_3(B)) | (v127(constB163, B) <=> v130(constB163, B)))) | (~less_3(bitIndex2)) | (v127(constB163, bitIndex2) <=> v130(constB163, bitIndex2))),
% 15.86/11.09 inference(modus_ponens,[status(thm)],[23041, 23040])).
% 15.86/11.09 tff(23043,plain,
% 15.86/11.09 (v127(constB163, bitIndex2) <=> v130(constB163, bitIndex2)),
% 15.86/11.09 inference(unit_resolution,[status(thm)],[23042, 413, 23039])).
% 15.86/11.09 tff(23044,plain,
% 15.86/11.09 (((~![VarCurr: $i] : ((~v123(VarCurr)) | ![B: $i] : ((~less_3(B)) | (v130(VarCurr, B) <=> b110(B))))) | ((~v123(constB163)) | ![B: $i] : ((~less_3(B)) | (v130(constB163, B) <=> b110(B))))) <=> ((~![VarCurr: $i] : ((~v123(VarCurr)) | ![B: $i] : ((~less_3(B)) | (v130(VarCurr, B) <=> b110(B))))) | (~v123(constB163)) | ![B: $i] : ((~less_3(B)) | (v130(constB163, B) <=> b110(B))))),
% 15.86/11.10 inference(rewrite,[status(thm)],[])).
% 15.86/11.10 tff(23045,plain,
% 15.86/11.10 ((~![VarCurr: $i] : ((~v123(VarCurr)) | ![B: $i] : ((~less_3(B)) | (v130(VarCurr, B) <=> b110(B))))) | ((~v123(constB163)) | ![B: $i] : ((~less_3(B)) | (v130(constB163, B) <=> b110(B))))),
% 15.86/11.10 inference(quant_inst,[status(thm)],[])).
% 15.86/11.10 tff(23046,plain,
% 15.86/11.10 ((~![VarCurr: $i] : ((~v123(VarCurr)) | ![B: $i] : ((~less_3(B)) | (v130(VarCurr, B) <=> b110(B))))) | (~v123(constB163)) | ![B: $i] : ((~less_3(B)) | (v130(constB163, B) <=> b110(B)))),
% 15.86/11.10 inference(modus_ponens,[status(thm)],[23045, 23044])).
% 15.86/11.10 tff(23047,plain,
% 15.86/11.10 ((~v123(constB163)) | ![B: $i] : ((~less_3(B)) | (v130(constB163, B) <=> b110(B)))),
% 15.86/11.10 inference(unit_resolution,[status(thm)],[23046, 5369])).
% 15.86/11.10 tff(23048,plain,
% 15.86/11.10 (![B: $i] : ((~less_3(B)) | (v130(constB163, B) <=> b110(B)))),
% 15.86/11.10 inference(unit_resolution,[status(thm)],[23047, 22979])).
% 15.86/11.10 tff(23049,plain,
% 15.86/11.10 (((~![B: $i] : ((~less_3(B)) | (v130(constB163, B) <=> b110(B)))) | ((~less_3(bitIndex2)) | (v130(constB163, bitIndex2) <=> b110(bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v130(constB163, B) <=> b110(B)))) | (~less_3(bitIndex2)) | (v130(constB163, bitIndex2) <=> b110(bitIndex2)))),
% 15.86/11.10 inference(rewrite,[status(thm)],[])).
% 15.86/11.10 tff(23050,plain,
% 15.86/11.10 ((~![B: $i] : ((~less_3(B)) | (v130(constB163, B) <=> b110(B)))) | ((~less_3(bitIndex2)) | (v130(constB163, bitIndex2) <=> b110(bitIndex2)))),
% 15.86/11.10 inference(quant_inst,[status(thm)],[])).
% 15.86/11.10 tff(23051,plain,
% 15.86/11.10 ((~![B: $i] : ((~less_3(B)) | (v130(constB163, B) <=> b110(B)))) | (~less_3(bitIndex2)) | (v130(constB163, bitIndex2) <=> b110(bitIndex2))),
% 15.86/11.10 inference(modus_ponens,[status(thm)],[23050, 23049])).
% 15.86/11.10 tff(23052,plain,
% 15.86/11.10 (v130(constB163, bitIndex2) <=> b110(bitIndex2)),
% 15.86/11.10 inference(unit_resolution,[status(thm)],[23051, 413, 23048])).
% 15.86/11.10 tff(23053,plain,
% 15.86/11.10 ((~(v130(constB163, bitIndex2) <=> b110(bitIndex2))) | v130(constB163, bitIndex2) | (~b110(bitIndex2))),
% 15.86/11.10 inference(tautology,[status(thm)],[])).
% 15.86/11.10 tff(23054,plain,
% 15.86/11.10 ((~(v130(constB163, bitIndex2) <=> b110(bitIndex2))) | v130(constB163, bitIndex2)),
% 15.86/11.10 inference(unit_resolution,[status(thm)],[23053, 5381])).
% 15.86/11.10 tff(23055,plain,
% 15.86/11.10 (v130(constB163, bitIndex2)),
% 15.86/11.10 inference(unit_resolution,[status(thm)],[23054, 23052])).
% 15.86/11.10 tff(23056,plain,
% 15.86/11.10 ((~(v127(constB163, bitIndex2) <=> v130(constB163, bitIndex2))) | v127(constB163, bitIndex2) | (~v130(constB163, bitIndex2))),
% 15.86/11.10 inference(tautology,[status(thm)],[])).
% 15.86/11.10 tff(23057,plain,
% 15.86/11.10 (v127(constB163, bitIndex2)),
% 15.86/11.10 inference(unit_resolution,[status(thm)],[23056, 23055, 23043])).
% 15.86/11.10 tff(23058,plain,
% 15.86/11.10 ((~(v129(constB164, bitIndex2) <=> v127(constB163, bitIndex2))) | v129(constB164, bitIndex2) | (~v127(constB163, bitIndex2))),
% 15.86/11.10 inference(tautology,[status(thm)],[])).
% 15.86/11.10 tff(23059,plain,
% 15.86/11.10 (v129(constB164, bitIndex2)),
% 15.86/11.10 inference(unit_resolution,[status(thm)],[23058, 23057, 23035])).
% 15.86/11.10 tff(23060,plain,
% 15.86/11.10 ((~(v90(constB164, bitIndex2) <=> v129(constB164, bitIndex2))) | v90(constB164, bitIndex2) | (~v129(constB164, bitIndex2))),
% 15.86/11.10 inference(tautology,[status(thm)],[])).
% 15.86/11.10 tff(23061,plain,
% 15.86/11.10 (v90(constB164, bitIndex2)),
% 15.86/11.10 inference(unit_resolution,[status(thm)],[23060, 23059, 23027])).
% 15.86/11.10 tff(23062,plain,
% 15.86/11.10 ((~(v90(constB165, bitIndex2) <=> v90(constB164, bitIndex2))) | v90(constB165, bitIndex2) | (~v90(constB164, bitIndex2))),
% 15.86/11.10 inference(tautology,[status(thm)],[])).
% 15.86/11.10 tff(23063,plain,
% 15.86/11.10 (v90(constB165, bitIndex2)),
% 15.86/11.10 inference(unit_resolution,[status(thm)],[23062, 23061, 20895])).
% 15.86/11.10 tff(23064,plain,
% 15.86/11.10 (((~![B: $i] : ((~less_3(B)) | (v90(constB165, B) <=> v90(constB164, B)))) | ((~less_3(bitIndex0)) | (v90(constB165, bitIndex0) <=> v90(constB164, bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v90(constB165, B) <=> v90(constB164, B)))) | (~less_3(bitIndex0)) | (v90(constB165, bitIndex0) <=> v90(constB164, bitIndex0)))),
% 15.86/11.10 inference(rewrite,[status(thm)],[])).
% 15.86/11.10 tff(23065,plain,
% 15.86/11.10 ((~![B: $i] : ((~less_3(B)) | (v90(constB165, B) <=> v90(constB164, B)))) | ((~less_3(bitIndex0)) | (v90(constB165, bitIndex0) <=> v90(constB164, bitIndex0)))),
% 15.86/11.10 inference(quant_inst,[status(thm)],[])).
% 15.86/11.10 tff(23066,plain,
% 15.86/11.10 ((~![B: $i] : ((~less_3(B)) | (v90(constB165, B) <=> v90(constB164, B)))) | (~less_3(bitIndex0)) | (v90(constB165, bitIndex0) <=> v90(constB164, bitIndex0))),
% 15.86/11.10 inference(modus_ponens,[status(thm)],[23065, 23064])).
% 15.86/11.10 tff(23067,plain,
% 15.86/11.10 (v90(constB165, bitIndex0) <=> v90(constB164, bitIndex0)),
% 15.86/11.10 inference(unit_resolution,[status(thm)],[23066, 5004, 20891])).
% 15.86/11.10 tff(23068,plain,
% 15.86/11.10 (((~![B: $i] : ((~less_3(B)) | (v90(constB164, B) <=> v129(constB164, B)))) | ((~less_3(bitIndex0)) | (v90(constB164, bitIndex0) <=> v129(constB164, bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v90(constB164, B) <=> v129(constB164, B)))) | (~less_3(bitIndex0)) | (v90(constB164, bitIndex0) <=> v129(constB164, bitIndex0)))),
% 15.86/11.10 inference(rewrite,[status(thm)],[])).
% 15.86/11.10 tff(23069,plain,
% 15.86/11.10 ((~![B: $i] : ((~less_3(B)) | (v90(constB164, B) <=> v129(constB164, B)))) | ((~less_3(bitIndex0)) | (v90(constB164, bitIndex0) <=> v129(constB164, bitIndex0)))),
% 15.86/11.10 inference(quant_inst,[status(thm)],[])).
% 15.86/11.10 tff(23070,plain,
% 15.86/11.10 ((~![B: $i] : ((~less_3(B)) | (v90(constB164, B) <=> v129(constB164, B)))) | (~less_3(bitIndex0)) | (v90(constB164, bitIndex0) <=> v129(constB164, bitIndex0))),
% 15.86/11.10 inference(modus_ponens,[status(thm)],[23069, 23068])).
% 15.86/11.10 tff(23071,plain,
% 15.86/11.10 (v90(constB164, bitIndex0) <=> v129(constB164, bitIndex0)),
% 15.86/11.10 inference(unit_resolution,[status(thm)],[23070, 5004, 23023])).
% 15.86/11.10 tff(23072,plain,
% 15.86/11.10 (((~![B: $i] : ((~less_3(B)) | (v129(constB164, B) <=> v127(constB163, B)))) | ((~less_3(bitIndex0)) | (v129(constB164, bitIndex0) <=> v127(constB163, bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v129(constB164, B) <=> v127(constB163, B)))) | (~less_3(bitIndex0)) | (v129(constB164, bitIndex0) <=> v127(constB163, bitIndex0)))),
% 15.86/11.10 inference(rewrite,[status(thm)],[])).
% 15.86/11.10 tff(23073,plain,
% 15.86/11.10 ((~![B: $i] : ((~less_3(B)) | (v129(constB164, B) <=> v127(constB163, B)))) | ((~less_3(bitIndex0)) | (v129(constB164, bitIndex0) <=> v127(constB163, bitIndex0)))),
% 15.86/11.10 inference(quant_inst,[status(thm)],[])).
% 15.86/11.10 tff(23074,plain,
% 15.86/11.10 ((~![B: $i] : ((~less_3(B)) | (v129(constB164, B) <=> v127(constB163, B)))) | (~less_3(bitIndex0)) | (v129(constB164, bitIndex0) <=> v127(constB163, bitIndex0))),
% 15.86/11.10 inference(modus_ponens,[status(thm)],[23073, 23072])).
% 15.86/11.10 tff(23075,plain,
% 15.86/11.10 (v129(constB164, bitIndex0) <=> v127(constB163, bitIndex0)),
% 15.86/11.10 inference(unit_resolution,[status(thm)],[23074, 5004, 23031])).
% 15.86/11.10 tff(23076,plain,
% 15.86/11.10 (((~![B: $i] : ((~less_3(B)) | (v127(constB163, B) <=> v130(constB163, B)))) | ((~less_3(bitIndex0)) | (v127(constB163, bitIndex0) <=> v130(constB163, bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v127(constB163, B) <=> v130(constB163, B)))) | (~less_3(bitIndex0)) | (v127(constB163, bitIndex0) <=> v130(constB163, bitIndex0)))),
% 15.86/11.10 inference(rewrite,[status(thm)],[])).
% 15.86/11.10 tff(23077,plain,
% 15.86/11.10 ((~![B: $i] : ((~less_3(B)) | (v127(constB163, B) <=> v130(constB163, B)))) | ((~less_3(bitIndex0)) | (v127(constB163, bitIndex0) <=> v130(constB163, bitIndex0)))),
% 15.86/11.10 inference(quant_inst,[status(thm)],[])).
% 15.86/11.10 tff(23078,plain,
% 15.86/11.10 ((~![B: $i] : ((~less_3(B)) | (v127(constB163, B) <=> v130(constB163, B)))) | (~less_3(bitIndex0)) | (v127(constB163, bitIndex0) <=> v130(constB163, bitIndex0))),
% 15.86/11.10 inference(modus_ponens,[status(thm)],[23077, 23076])).
% 15.86/11.10 tff(23079,plain,
% 15.86/11.10 (v127(constB163, bitIndex0) <=> v130(constB163, bitIndex0)),
% 15.86/11.10 inference(unit_resolution,[status(thm)],[23078, 5004, 23039])).
% 15.86/11.10 tff(23080,plain,
% 15.86/11.10 (((~![B: $i] : ((~less_3(B)) | (v130(constB163, B) <=> b110(B)))) | ((~less_3(bitIndex0)) | (v130(constB163, bitIndex0) <=> b110(bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v130(constB163, B) <=> b110(B)))) | (~less_3(bitIndex0)) | (v130(constB163, bitIndex0) <=> b110(bitIndex0)))),
% 15.86/11.10 inference(rewrite,[status(thm)],[])).
% 15.86/11.10 tff(23081,plain,
% 15.86/11.10 ((~![B: $i] : ((~less_3(B)) | (v130(constB163, B) <=> b110(B)))) | ((~less_3(bitIndex0)) | (v130(constB163, bitIndex0) <=> b110(bitIndex0)))),
% 15.86/11.10 inference(quant_inst,[status(thm)],[])).
% 15.86/11.10 tff(23082,plain,
% 15.86/11.10 ((~![B: $i] : ((~less_3(B)) | (v130(constB163, B) <=> b110(B)))) | (~less_3(bitIndex0)) | (v130(constB163, bitIndex0) <=> b110(bitIndex0))),
% 15.86/11.10 inference(modus_ponens,[status(thm)],[23081, 23080])).
% 15.86/11.10 tff(23083,plain,
% 15.86/11.10 (v130(constB163, bitIndex0) <=> b110(bitIndex0)),
% 15.86/11.10 inference(unit_resolution,[status(thm)],[23082, 5004, 23048])).
% 15.86/11.10 tff(23084,plain,
% 15.86/11.10 ((~(v130(constB163, bitIndex0) <=> b110(bitIndex0))) | (~v130(constB163, bitIndex0)) | b110(bitIndex0)),
% 15.86/11.10 inference(tautology,[status(thm)],[])).
% 15.86/11.10 tff(23085,plain,
% 15.86/11.10 ((~(v130(constB163, bitIndex0) <=> b110(bitIndex0))) | (~v130(constB163, bitIndex0))),
% 15.86/11.10 inference(unit_resolution,[status(thm)],[23084, 5415])).
% 15.86/11.10 tff(23086,plain,
% 15.86/11.10 (~v130(constB163, bitIndex0)),
% 15.86/11.10 inference(unit_resolution,[status(thm)],[23085, 23083])).
% 15.86/11.10 tff(23087,plain,
% 15.86/11.10 ((~(v127(constB163, bitIndex0) <=> v130(constB163, bitIndex0))) | (~v127(constB163, bitIndex0)) | v130(constB163, bitIndex0)),
% 15.86/11.10 inference(tautology,[status(thm)],[])).
% 15.86/11.10 tff(23088,plain,
% 15.86/11.10 (~v127(constB163, bitIndex0)),
% 15.86/11.10 inference(unit_resolution,[status(thm)],[23087, 23086, 23079])).
% 15.86/11.10 tff(23089,plain,
% 15.86/11.10 ((~(v129(constB164, bitIndex0) <=> v127(constB163, bitIndex0))) | (~v129(constB164, bitIndex0)) | v127(constB163, bitIndex0)),
% 15.86/11.10 inference(tautology,[status(thm)],[])).
% 15.86/11.10 tff(23090,plain,
% 15.86/11.10 (~v129(constB164, bitIndex0)),
% 15.86/11.10 inference(unit_resolution,[status(thm)],[23089, 23088, 23075])).
% 15.86/11.10 tff(23091,plain,
% 15.86/11.10 ((~(v90(constB164, bitIndex0) <=> v129(constB164, bitIndex0))) | (~v90(constB164, bitIndex0)) | v129(constB164, bitIndex0)),
% 15.86/11.10 inference(tautology,[status(thm)],[])).
% 15.86/11.10 tff(23092,plain,
% 15.86/11.10 (~v90(constB164, bitIndex0)),
% 15.86/11.10 inference(unit_resolution,[status(thm)],[23091, 23090, 23071])).
% 15.86/11.10 tff(23093,plain,
% 15.86/11.10 ((~(v90(constB165, bitIndex0) <=> v90(constB164, bitIndex0))) | (~v90(constB165, bitIndex0)) | v90(constB164, bitIndex0)),
% 15.86/11.10 inference(tautology,[status(thm)],[])).
% 15.86/11.10 tff(23094,plain,
% 15.86/11.10 (~v90(constB165, bitIndex0)),
% 15.86/11.10 inference(unit_resolution,[status(thm)],[23093, 23092, 23067])).
% 15.86/11.10 tff(23095,plain,
% 15.86/11.10 (((~![B: $i] : ((~less_3(B)) | (v90(constB165, B) <=> v90(constB164, B)))) | ((~less_3(bitIndex1)) | (v90(constB165, bitIndex1) <=> v90(constB164, bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v90(constB165, B) <=> v90(constB164, B)))) | (~less_3(bitIndex1)) | (v90(constB165, bitIndex1) <=> v90(constB164, bitIndex1)))),
% 15.86/11.10 inference(rewrite,[status(thm)],[])).
% 15.86/11.10 tff(23096,plain,
% 15.86/11.10 ((~![B: $i] : ((~less_3(B)) | (v90(constB165, B) <=> v90(constB164, B)))) | ((~less_3(bitIndex1)) | (v90(constB165, bitIndex1) <=> v90(constB164, bitIndex1)))),
% 15.86/11.10 inference(quant_inst,[status(thm)],[])).
% 15.86/11.10 tff(23097,plain,
% 15.86/11.10 ((~![B: $i] : ((~less_3(B)) | (v90(constB165, B) <=> v90(constB164, B)))) | (~less_3(bitIndex1)) | (v90(constB165, bitIndex1) <=> v90(constB164, bitIndex1))),
% 15.86/11.10 inference(modus_ponens,[status(thm)],[23096, 23095])).
% 15.86/11.10 tff(23098,plain,
% 15.86/11.10 (v90(constB165, bitIndex1) <=> v90(constB164, bitIndex1)),
% 15.86/11.10 inference(unit_resolution,[status(thm)],[23097, 5017, 20891])).
% 15.86/11.10 tff(23099,plain,
% 15.86/11.10 (((~![B: $i] : ((~less_3(B)) | (v90(constB164, B) <=> v129(constB164, B)))) | ((~less_3(bitIndex1)) | (v90(constB164, bitIndex1) <=> v129(constB164, bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v90(constB164, B) <=> v129(constB164, B)))) | (~less_3(bitIndex1)) | (v90(constB164, bitIndex1) <=> v129(constB164, bitIndex1)))),
% 15.86/11.10 inference(rewrite,[status(thm)],[])).
% 15.86/11.10 tff(23100,plain,
% 15.86/11.10 ((~![B: $i] : ((~less_3(B)) | (v90(constB164, B) <=> v129(constB164, B)))) | ((~less_3(bitIndex1)) | (v90(constB164, bitIndex1) <=> v129(constB164, bitIndex1)))),
% 15.86/11.10 inference(quant_inst,[status(thm)],[])).
% 15.86/11.10 tff(23101,plain,
% 15.86/11.10 ((~![B: $i] : ((~less_3(B)) | (v90(constB164, B) <=> v129(constB164, B)))) | (~less_3(bitIndex1)) | (v90(constB164, bitIndex1) <=> v129(constB164, bitIndex1))),
% 15.86/11.10 inference(modus_ponens,[status(thm)],[23100, 23099])).
% 15.86/11.10 tff(23102,plain,
% 15.86/11.10 (v90(constB164, bitIndex1) <=> v129(constB164, bitIndex1)),
% 15.86/11.10 inference(unit_resolution,[status(thm)],[23101, 5017, 23023])).
% 15.86/11.11 tff(23103,plain,
% 15.86/11.11 (((~![B: $i] : ((~less_3(B)) | (v129(constB164, B) <=> v127(constB163, B)))) | ((~less_3(bitIndex1)) | (v129(constB164, bitIndex1) <=> v127(constB163, bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v129(constB164, B) <=> v127(constB163, B)))) | (~less_3(bitIndex1)) | (v129(constB164, bitIndex1) <=> v127(constB163, bitIndex1)))),
% 15.86/11.11 inference(rewrite,[status(thm)],[])).
% 15.86/11.11 tff(23104,plain,
% 15.86/11.11 ((~![B: $i] : ((~less_3(B)) | (v129(constB164, B) <=> v127(constB163, B)))) | ((~less_3(bitIndex1)) | (v129(constB164, bitIndex1) <=> v127(constB163, bitIndex1)))),
% 15.86/11.11 inference(quant_inst,[status(thm)],[])).
% 15.86/11.11 tff(23105,plain,
% 15.86/11.11 ((~![B: $i] : ((~less_3(B)) | (v129(constB164, B) <=> v127(constB163, B)))) | (~less_3(bitIndex1)) | (v129(constB164, bitIndex1) <=> v127(constB163, bitIndex1))),
% 15.86/11.11 inference(modus_ponens,[status(thm)],[23104, 23103])).
% 15.86/11.11 tff(23106,plain,
% 15.86/11.11 (v129(constB164, bitIndex1) <=> v127(constB163, bitIndex1)),
% 15.86/11.11 inference(unit_resolution,[status(thm)],[23105, 5017, 23031])).
% 15.86/11.11 tff(23107,plain,
% 15.86/11.11 (((~![B: $i] : ((~less_3(B)) | (v127(constB163, B) <=> v130(constB163, B)))) | ((~less_3(bitIndex1)) | (v127(constB163, bitIndex1) <=> v130(constB163, bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v127(constB163, B) <=> v130(constB163, B)))) | (~less_3(bitIndex1)) | (v127(constB163, bitIndex1) <=> v130(constB163, bitIndex1)))),
% 15.86/11.11 inference(rewrite,[status(thm)],[])).
% 15.86/11.11 tff(23108,plain,
% 15.86/11.11 ((~![B: $i] : ((~less_3(B)) | (v127(constB163, B) <=> v130(constB163, B)))) | ((~less_3(bitIndex1)) | (v127(constB163, bitIndex1) <=> v130(constB163, bitIndex1)))),
% 15.86/11.11 inference(quant_inst,[status(thm)],[])).
% 15.86/11.11 tff(23109,plain,
% 15.86/11.11 ((~![B: $i] : ((~less_3(B)) | (v127(constB163, B) <=> v130(constB163, B)))) | (~less_3(bitIndex1)) | (v127(constB163, bitIndex1) <=> v130(constB163, bitIndex1))),
% 15.86/11.11 inference(modus_ponens,[status(thm)],[23108, 23107])).
% 15.86/11.11 tff(23110,plain,
% 15.86/11.11 (v127(constB163, bitIndex1) <=> v130(constB163, bitIndex1)),
% 15.86/11.11 inference(unit_resolution,[status(thm)],[23109, 5017, 23039])).
% 15.86/11.11 tff(23111,plain,
% 15.86/11.11 (((~![B: $i] : ((~less_3(B)) | (v130(constB163, B) <=> b110(B)))) | ((~less_3(bitIndex1)) | (v130(constB163, bitIndex1) <=> b110(bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v130(constB163, B) <=> b110(B)))) | (~less_3(bitIndex1)) | (v130(constB163, bitIndex1) <=> b110(bitIndex1)))),
% 15.86/11.11 inference(rewrite,[status(thm)],[])).
% 15.86/11.11 tff(23112,plain,
% 15.86/11.11 ((~![B: $i] : ((~less_3(B)) | (v130(constB163, B) <=> b110(B)))) | ((~less_3(bitIndex1)) | (v130(constB163, bitIndex1) <=> b110(bitIndex1)))),
% 15.86/11.11 inference(quant_inst,[status(thm)],[])).
% 15.86/11.11 tff(23113,plain,
% 15.86/11.11 ((~![B: $i] : ((~less_3(B)) | (v130(constB163, B) <=> b110(B)))) | (~less_3(bitIndex1)) | (v130(constB163, bitIndex1) <=> b110(bitIndex1))),
% 15.86/11.11 inference(modus_ponens,[status(thm)],[23112, 23111])).
% 15.86/11.11 tff(23114,plain,
% 15.86/11.11 (v130(constB163, bitIndex1) <=> b110(bitIndex1)),
% 15.86/11.11 inference(unit_resolution,[status(thm)],[23113, 5017, 23048])).
% 15.86/11.11 tff(23115,plain,
% 15.86/11.11 ((~(v130(constB163, bitIndex1) <=> b110(bitIndex1))) | v130(constB163, bitIndex1) | (~b110(bitIndex1))),
% 15.86/11.11 inference(tautology,[status(thm)],[])).
% 15.86/11.11 tff(23116,plain,
% 15.86/11.11 ((~(v130(constB163, bitIndex1) <=> b110(bitIndex1))) | v130(constB163, bitIndex1)),
% 15.86/11.11 inference(unit_resolution,[status(thm)],[23115, 5449])).
% 15.86/11.11 tff(23117,plain,
% 15.86/11.11 (v130(constB163, bitIndex1)),
% 15.86/11.11 inference(unit_resolution,[status(thm)],[23116, 23114])).
% 15.86/11.11 tff(23118,plain,
% 15.86/11.11 ((~(v127(constB163, bitIndex1) <=> v130(constB163, bitIndex1))) | v127(constB163, bitIndex1) | (~v130(constB163, bitIndex1))),
% 15.86/11.11 inference(tautology,[status(thm)],[])).
% 15.86/11.11 tff(23119,plain,
% 15.86/11.11 (v127(constB163, bitIndex1)),
% 15.86/11.11 inference(unit_resolution,[status(thm)],[23118, 23117, 23110])).
% 15.86/11.11 tff(23120,plain,
% 15.86/11.11 ((~(v129(constB164, bitIndex1) <=> v127(constB163, bitIndex1))) | v129(constB164, bitIndex1) | (~v127(constB163, bitIndex1))),
% 15.86/11.11 inference(tautology,[status(thm)],[])).
% 15.86/11.11 tff(23121,plain,
% 15.86/11.11 (v129(constB164, bitIndex1)),
% 15.86/11.11 inference(unit_resolution,[status(thm)],[23120, 23119, 23106])).
% 15.86/11.11 tff(23122,plain,
% 15.86/11.11 ((~(v90(constB164, bitIndex1) <=> v129(constB164, bitIndex1))) | v90(constB164, bitIndex1) | (~v129(constB164, bitIndex1))),
% 15.86/11.11 inference(tautology,[status(thm)],[])).
% 15.86/11.11 tff(23123,plain,
% 15.86/11.11 (v90(constB164, bitIndex1)),
% 15.86/11.11 inference(unit_resolution,[status(thm)],[23122, 23121, 23102])).
% 15.86/11.11 tff(23124,plain,
% 15.86/11.11 ((~(v90(constB165, bitIndex1) <=> v90(constB164, bitIndex1))) | v90(constB165, bitIndex1) | (~v90(constB164, bitIndex1))),
% 15.86/11.11 inference(tautology,[status(thm)],[])).
% 15.86/11.11 tff(23125,plain,
% 15.86/11.11 (v90(constB165, bitIndex1)),
% 15.86/11.11 inference(unit_resolution,[status(thm)],[23124, 23123, 23098])).
% 15.86/11.11 tff(23126,plain,
% 15.86/11.11 ((~((~v90(constB165, bitIndex2)) | (~v90(constB165, bitIndex1)) | v90(constB165, bitIndex0))) | (~v90(constB165, bitIndex2)) | (~v90(constB165, bitIndex1)) | v90(constB165, bitIndex0)),
% 15.86/11.11 inference(tautology,[status(thm)],[])).
% 15.86/11.11 tff(23127,plain,
% 15.86/11.11 (~((~v90(constB165, bitIndex2)) | (~v90(constB165, bitIndex1)) | v90(constB165, bitIndex0))),
% 15.86/11.11 inference(unit_resolution,[status(thm)],[23126, 23125, 23094, 23063])).
% 15.86/11.11 tff(23128,plain,
% 15.86/11.11 ((~(v125(constB165) <=> (~((~v90(constB165, bitIndex2)) | (~v90(constB165, bitIndex1)) | v90(constB165, bitIndex0))))) | v125(constB165) | ((~v90(constB165, bitIndex2)) | (~v90(constB165, bitIndex1)) | v90(constB165, bitIndex0))),
% 15.86/11.11 inference(tautology,[status(thm)],[])).
% 15.86/11.11 tff(23129,plain,
% 15.86/11.11 (v125(constB165)),
% 15.86/11.11 inference(unit_resolution,[status(thm)],[23128, 23127, 20863])).
% 15.86/11.11 tff(23130,plain,
% 15.86/11.11 ((v114(constB165) | v125(constB165)) | (~v125(constB165))),
% 15.86/11.11 inference(tautology,[status(thm)],[])).
% 15.86/11.11 tff(23131,plain,
% 15.86/11.11 (v114(constB165) | v125(constB165)),
% 15.86/11.11 inference(unit_resolution,[status(thm)],[23130, 23129])).
% 15.86/11.11 tff(23132,plain,
% 15.86/11.11 ((~(v113(constB165) <=> (v114(constB165) | v125(constB165)))) | v113(constB165) | (~(v114(constB165) | v125(constB165)))),
% 15.86/11.11 inference(tautology,[status(thm)],[])).
% 15.86/11.11 tff(23133,plain,
% 15.86/11.11 (v113(constB165)),
% 15.86/11.11 inference(unit_resolution,[status(thm)],[23132, 23131, 20856])).
% 15.86/11.11 tff(23134,plain,
% 15.86/11.11 ((~![VarCurr: $i] : ((~v126(VarCurr)) <=> v111(VarCurr))) | ((~v126(constB165)) <=> v111(constB165))),
% 15.86/11.11 inference(quant_inst,[status(thm)],[])).
% 15.86/11.11 tff(23135,plain,
% 15.86/11.11 ((~v126(constB165)) <=> v111(constB165)),
% 15.86/11.11 inference(unit_resolution,[status(thm)],[23134, 5074])).
% 15.86/11.11 tff(23136,plain,
% 15.86/11.11 ((~![VarCurr: $i] : (v111(VarCurr) <=> v26(VarCurr))) | (v111(constB165) <=> v26(constB165))),
% 15.86/11.11 inference(quant_inst,[status(thm)],[])).
% 15.86/11.11 tff(23137,plain,
% 15.86/11.11 (v111(constB165) <=> v26(constB165)),
% 15.86/11.11 inference(unit_resolution,[status(thm)],[23136, 5086])).
% 15.86/11.11 tff(23138,plain,
% 15.86/11.11 ((~![VarCurr: $i] : (~v26(VarCurr))) | (~v26(constB165))),
% 15.86/11.11 inference(quant_inst,[status(thm)],[])).
% 15.86/11.11 tff(23139,plain,
% 15.86/11.11 (~v26(constB165)),
% 15.86/11.11 inference(unit_resolution,[status(thm)],[23138, 5098])).
% 15.86/11.11 tff(23140,plain,
% 15.86/11.11 ((~(v111(constB165) <=> v26(constB165))) | (~v111(constB165)) | v26(constB165)),
% 15.86/11.11 inference(tautology,[status(thm)],[])).
% 15.86/11.11 tff(23141,plain,
% 15.86/11.11 ((~(v111(constB165) <=> v26(constB165))) | (~v111(constB165))),
% 15.86/11.11 inference(unit_resolution,[status(thm)],[23140, 23139])).
% 15.86/11.11 tff(23142,plain,
% 15.86/11.11 (~v111(constB165)),
% 15.86/11.11 inference(unit_resolution,[status(thm)],[23141, 23137])).
% 15.86/11.11 tff(23143,plain,
% 15.86/11.11 ((~((~v126(constB165)) <=> v111(constB165))) | v126(constB165) | v111(constB165)),
% 15.86/11.11 inference(tautology,[status(thm)],[])).
% 15.86/11.11 tff(23144,plain,
% 15.86/11.11 ((~((~v126(constB165)) <=> v111(constB165))) | v126(constB165)),
% 15.86/11.11 inference(unit_resolution,[status(thm)],[23143, 23142])).
% 15.86/11.11 tff(23145,plain,
% 15.86/11.11 (v126(constB165)),
% 15.86/11.11 inference(unit_resolution,[status(thm)],[23144, 23135])).
% 15.86/11.11 tff(23146,plain,
% 15.86/11.11 ((~((~v113(constB165)) | (~v126(constB165)))) | (~v113(constB165)) | (~v126(constB165))),
% 15.86/11.11 inference(tautology,[status(thm)],[])).
% 15.86/11.11 tff(23147,plain,
% 15.86/11.11 ((~((~v113(constB165)) | (~v126(constB165)))) | (~v113(constB165))),
% 15.86/11.11 inference(unit_resolution,[status(thm)],[23146, 23145])).
% 15.86/11.11 tff(23148,plain,
% 15.86/11.11 (~((~v113(constB165)) | (~v126(constB165)))),
% 15.86/11.11 inference(unit_resolution,[status(thm)],[23147, 23133])).
% 15.86/11.11 tff(23149,plain,
% 15.86/11.11 ((~(v112(constB165) <=> (~((~v113(constB165)) | (~v126(constB165)))))) | v112(constB165) | ((~v113(constB165)) | (~v126(constB165)))),
% 15.86/11.11 inference(tautology,[status(thm)],[])).
% 15.86/11.11 tff(23150,plain,
% 15.86/11.11 (v112(constB165)),
% 15.86/11.11 inference(unit_resolution,[status(thm)],[23149, 23148, 20854])).
% 15.86/11.11 tff(23151,plain,
% 15.86/11.11 ((v111(constB165) | v112(constB165)) | (~v112(constB165))),
% 15.86/11.11 inference(tautology,[status(thm)],[])).
% 15.86/11.11 tff(23152,plain,
% 15.86/11.11 (v111(constB165) | v112(constB165)),
% 15.86/11.11 inference(unit_resolution,[status(thm)],[23151, 23150])).
% 15.86/11.11 tff(23153,plain,
% 15.86/11.11 ((~(v108(constB165) <=> (v111(constB165) | v112(constB165)))) | v108(constB165) | (~(v111(constB165) | v112(constB165)))),
% 15.86/11.11 inference(tautology,[status(thm)],[])).
% 15.86/11.11 tff(23154,plain,
% 15.86/11.11 (v108(constB165)),
% 15.86/11.11 inference(unit_resolution,[status(thm)],[23153, 23152, 20852])).
% 15.86/11.11 tff(23155,plain,
% 15.86/11.11 ((~(v110(constB166) <=> v108(constB165))) | v110(constB166) | (~v108(constB165))),
% 15.86/11.11 inference(tautology,[status(thm)],[])).
% 15.86/11.11 tff(23156,plain,
% 15.86/11.11 (v110(constB166)),
% 15.86/11.11 inference(unit_resolution,[status(thm)],[23155, 23154, 20850])).
% 15.86/11.11 tff(23157,plain,
% 15.86/11.11 ((~((~v101(constB166)) | (~v110(constB166)))) | (~v101(constB166)) | (~v110(constB166))),
% 15.86/11.11 inference(tautology,[status(thm)],[])).
% 15.86/11.11 tff(23158,plain,
% 15.86/11.11 (~((~v101(constB166)) | (~v110(constB166)))),
% 15.86/11.11 inference(unit_resolution,[status(thm)],[23157, 23156, 20846])).
% 15.86/11.11 tff(23159,plain,
% 15.86/11.11 ((~(v100(constB166) <=> (~((~v101(constB166)) | (~v110(constB166)))))) | v100(constB166) | ((~v101(constB166)) | (~v110(constB166)))),
% 15.86/11.11 inference(tautology,[status(thm)],[])).
% 15.86/11.11 tff(23160,plain,
% 15.86/11.11 (v100(constB166)),
% 15.86/11.11 inference(unit_resolution,[status(thm)],[23159, 23158, 20815])).
% 15.86/11.11 tff(23161,plain,
% 15.86/11.11 (((~![VarNext: $i] : ((~v100(VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v129(VarNext, B))))) | ((~v100(constB166)) | ![B: $i] : ((~less_3(B)) | (v90(constB166, B) <=> v129(constB166, B))))) <=> ((~![VarNext: $i] : ((~v100(VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v129(VarNext, B))))) | (~v100(constB166)) | ![B: $i] : ((~less_3(B)) | (v90(constB166, B) <=> v129(constB166, B))))),
% 15.86/11.11 inference(rewrite,[status(thm)],[])).
% 15.86/11.11 tff(23162,plain,
% 15.86/11.11 ((~![VarNext: $i] : ((~v100(VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v129(VarNext, B))))) | ((~v100(constB166)) | ![B: $i] : ((~less_3(B)) | (v90(constB166, B) <=> v129(constB166, B))))),
% 15.86/11.11 inference(quant_inst,[status(thm)],[])).
% 15.86/11.11 tff(23163,plain,
% 15.86/11.11 ((~![VarNext: $i] : ((~v100(VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v129(VarNext, B))))) | (~v100(constB166)) | ![B: $i] : ((~less_3(B)) | (v90(constB166, B) <=> v129(constB166, B)))),
% 15.86/11.11 inference(modus_ponens,[status(thm)],[23162, 23161])).
% 15.86/11.11 tff(23164,plain,
% 15.86/11.11 ((~v100(constB166)) | ![B: $i] : ((~less_3(B)) | (v90(constB166, B) <=> v129(constB166, B)))),
% 15.86/11.11 inference(unit_resolution,[status(thm)],[23163, 5134])).
% 15.86/11.11 tff(23165,plain,
% 15.86/11.11 (![B: $i] : ((~less_3(B)) | (v90(constB166, B) <=> v129(constB166, B)))),
% 15.86/11.11 inference(unit_resolution,[status(thm)],[23164, 23160])).
% 15.86/11.11 tff(23166,plain,
% 15.86/11.11 (((~![B: $i] : ((~less_3(B)) | (v90(constB166, B) <=> v129(constB166, B)))) | ((~less_3(bitIndex2)) | (v90(constB166, bitIndex2) <=> v129(constB166, bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v90(constB166, B) <=> v129(constB166, B)))) | (~less_3(bitIndex2)) | (v90(constB166, bitIndex2) <=> v129(constB166, bitIndex2)))),
% 15.86/11.11 inference(rewrite,[status(thm)],[])).
% 15.86/11.11 tff(23167,plain,
% 15.86/11.11 ((~![B: $i] : ((~less_3(B)) | (v90(constB166, B) <=> v129(constB166, B)))) | ((~less_3(bitIndex2)) | (v90(constB166, bitIndex2) <=> v129(constB166, bitIndex2)))),
% 15.86/11.11 inference(quant_inst,[status(thm)],[])).
% 15.86/11.11 tff(23168,plain,
% 15.86/11.11 ((~![B: $i] : ((~less_3(B)) | (v90(constB166, B) <=> v129(constB166, B)))) | (~less_3(bitIndex2)) | (v90(constB166, bitIndex2) <=> v129(constB166, bitIndex2))),
% 15.86/11.11 inference(modus_ponens,[status(thm)],[23167, 23166])).
% 15.86/11.11 tff(23169,plain,
% 15.86/11.11 (v90(constB166, bitIndex2) <=> v129(constB166, bitIndex2)),
% 15.86/11.11 inference(unit_resolution,[status(thm)],[23168, 413, 23165])).
% 15.86/11.11 tff(23170,plain,
% 15.86/11.11 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v129(VarNext, B) <=> v127(VarCurr, B))))) | ((~nextState(constB165, constB166)) | ![B: $i] : ((~less_3(B)) | (v129(constB166, B) <=> v127(constB165, B))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v129(VarNext, B) <=> v127(VarCurr, B))))) | (~nextState(constB165, constB166)) | ![B: $i] : ((~less_3(B)) | (v129(constB166, B) <=> v127(constB165, B))))),
% 15.86/11.11 inference(rewrite,[status(thm)],[])).
% 15.86/11.11 tff(23171,plain,
% 15.86/11.11 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v129(VarNext, B) <=> v127(VarCurr, B))))) | ((~nextState(constB165, constB166)) | ![B: $i] : ((~less_3(B)) | (v129(constB166, B) <=> v127(constB165, B))))),
% 15.86/11.11 inference(quant_inst,[status(thm)],[])).
% 15.86/11.11 tff(23172,plain,
% 15.86/11.11 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v129(VarNext, B) <=> v127(VarCurr, B))))) | (~nextState(constB165, constB166)) | ![B: $i] : ((~less_3(B)) | (v129(constB166, B) <=> v127(constB165, B)))),
% 15.86/11.11 inference(modus_ponens,[status(thm)],[23171, 23170])).
% 15.86/11.11 tff(23173,plain,
% 15.86/11.11 (![B: $i] : ((~less_3(B)) | (v129(constB166, B) <=> v127(constB165, B)))),
% 15.86/11.11 inference(unit_resolution,[status(thm)],[23172, 20811, 5156])).
% 15.86/11.11 tff(23174,plain,
% 15.86/11.11 (((~![B: $i] : ((~less_3(B)) | (v129(constB166, B) <=> v127(constB165, B)))) | ((~less_3(bitIndex2)) | (v129(constB166, bitIndex2) <=> v127(constB165, bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v129(constB166, B) <=> v127(constB165, B)))) | (~less_3(bitIndex2)) | (v129(constB166, bitIndex2) <=> v127(constB165, bitIndex2)))),
% 15.86/11.11 inference(rewrite,[status(thm)],[])).
% 15.86/11.11 tff(23175,plain,
% 15.86/11.11 ((~![B: $i] : ((~less_3(B)) | (v129(constB166, B) <=> v127(constB165, B)))) | ((~less_3(bitIndex2)) | (v129(constB166, bitIndex2) <=> v127(constB165, bitIndex2)))),
% 15.86/11.11 inference(quant_inst,[status(thm)],[])).
% 15.86/11.11 tff(23176,plain,
% 15.86/11.11 ((~![B: $i] : ((~less_3(B)) | (v129(constB166, B) <=> v127(constB165, B)))) | (~less_3(bitIndex2)) | (v129(constB166, bitIndex2) <=> v127(constB165, bitIndex2))),
% 15.86/11.11 inference(modus_ponens,[status(thm)],[23175, 23174])).
% 15.86/11.11 tff(23177,plain,
% 15.86/11.11 (v129(constB166, bitIndex2) <=> v127(constB165, bitIndex2)),
% 15.86/11.11 inference(unit_resolution,[status(thm)],[23176, 413, 23173])).
% 15.86/11.11 tff(23178,plain,
% 15.86/11.11 (((~![VarCurr: $i] : (v111(VarCurr) | ![B: $i] : ((~less_3(B)) | (v127(VarCurr, B) <=> v130(VarCurr, B))))) | (v111(constB165) | ![B: $i] : ((~less_3(B)) | (v127(constB165, B) <=> v130(constB165, B))))) <=> ((~![VarCurr: $i] : (v111(VarCurr) | ![B: $i] : ((~less_3(B)) | (v127(VarCurr, B) <=> v130(VarCurr, B))))) | v111(constB165) | ![B: $i] : ((~less_3(B)) | (v127(constB165, B) <=> v130(constB165, B))))),
% 15.86/11.11 inference(rewrite,[status(thm)],[])).
% 15.86/11.11 tff(23179,plain,
% 15.86/11.11 ((~![VarCurr: $i] : (v111(VarCurr) | ![B: $i] : ((~less_3(B)) | (v127(VarCurr, B) <=> v130(VarCurr, B))))) | (v111(constB165) | ![B: $i] : ((~less_3(B)) | (v127(constB165, B) <=> v130(constB165, B))))),
% 15.86/11.11 inference(quant_inst,[status(thm)],[])).
% 15.86/11.11 tff(23180,plain,
% 15.86/11.11 ((~![VarCurr: $i] : (v111(VarCurr) | ![B: $i] : ((~less_3(B)) | (v127(VarCurr, B) <=> v130(VarCurr, B))))) | v111(constB165) | ![B: $i] : ((~less_3(B)) | (v127(constB165, B) <=> v130(constB165, B)))),
% 15.86/11.11 inference(modus_ponens,[status(thm)],[23179, 23178])).
% 15.86/11.11 tff(23181,plain,
% 15.86/11.11 (![B: $i] : ((~less_3(B)) | (v127(constB165, B) <=> v130(constB165, B)))),
% 15.86/11.11 inference(unit_resolution,[status(thm)],[23180, 5177, 23142])).
% 15.86/11.11 tff(23182,plain,
% 15.86/11.11 (((~![B: $i] : ((~less_3(B)) | (v127(constB165, B) <=> v130(constB165, B)))) | ((~less_3(bitIndex2)) | (v127(constB165, bitIndex2) <=> v130(constB165, bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v127(constB165, B) <=> v130(constB165, B)))) | (~less_3(bitIndex2)) | (v127(constB165, bitIndex2) <=> v130(constB165, bitIndex2)))),
% 15.86/11.11 inference(rewrite,[status(thm)],[])).
% 15.86/11.11 tff(23183,plain,
% 15.86/11.11 ((~![B: $i] : ((~less_3(B)) | (v127(constB165, B) <=> v130(constB165, B)))) | ((~less_3(bitIndex2)) | (v127(constB165, bitIndex2) <=> v130(constB165, bitIndex2)))),
% 15.86/11.11 inference(quant_inst,[status(thm)],[])).
% 15.86/11.11 tff(23184,plain,
% 15.86/11.12 ((~![B: $i] : ((~less_3(B)) | (v127(constB165, B) <=> v130(constB165, B)))) | (~less_3(bitIndex2)) | (v127(constB165, bitIndex2) <=> v130(constB165, bitIndex2))),
% 15.86/11.12 inference(modus_ponens,[status(thm)],[23183, 23182])).
% 15.86/11.12 tff(23185,plain,
% 15.86/11.12 (v127(constB165, bitIndex2) <=> v130(constB165, bitIndex2)),
% 15.86/11.12 inference(unit_resolution,[status(thm)],[23184, 413, 23181])).
% 15.86/11.12 tff(23186,plain,
% 15.86/11.12 ((~![VarCurr: $i] : (v119(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))))) | (v119(constB165) <=> (~(v90(constB165, bitIndex0) | v90(constB165, bitIndex1) | v90(constB165, bitIndex2))))),
% 15.86/11.12 inference(quant_inst,[status(thm)],[])).
% 15.86/11.12 tff(23187,plain,
% 15.86/11.12 (v119(constB165) <=> (~(v90(constB165, bitIndex0) | v90(constB165, bitIndex1) | v90(constB165, bitIndex2)))),
% 15.86/11.12 inference(unit_resolution,[status(thm)],[23186, 4971])).
% 15.86/11.12 tff(23188,plain,
% 15.86/11.12 ((v90(constB165, bitIndex0) | v90(constB165, bitIndex1) | v90(constB165, bitIndex2)) | (~v90(constB165, bitIndex2))),
% 15.86/11.12 inference(tautology,[status(thm)],[])).
% 15.86/11.12 tff(23189,plain,
% 15.86/11.12 (v90(constB165, bitIndex0) | v90(constB165, bitIndex1) | v90(constB165, bitIndex2)),
% 15.86/11.12 inference(unit_resolution,[status(thm)],[23188, 23063])).
% 15.86/11.12 tff(23190,plain,
% 15.86/11.12 ((~(v119(constB165) <=> (~(v90(constB165, bitIndex0) | v90(constB165, bitIndex1) | v90(constB165, bitIndex2))))) | (~v119(constB165)) | (~(v90(constB165, bitIndex0) | v90(constB165, bitIndex1) | v90(constB165, bitIndex2)))),
% 15.86/11.12 inference(tautology,[status(thm)],[])).
% 15.86/11.12 tff(23191,plain,
% 15.86/11.12 (~v119(constB165)),
% 15.86/11.12 inference(unit_resolution,[status(thm)],[23190, 23189, 23187])).
% 15.86/11.12 tff(23192,plain,
% 15.86/11.12 (((~![VarCurr: $i] : (v124(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex2)))))) | (v124(constB165) <=> (~((~v90(constB165, bitIndex2)) | v90(constB165, bitIndex1) | (~v90(constB165, bitIndex0)))))) <=> ((~![VarCurr: $i] : (v124(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex2)))))) | (v124(constB165) <=> (~((~v90(constB165, bitIndex2)) | v90(constB165, bitIndex1) | (~v90(constB165, bitIndex0))))))),
% 15.86/11.12 inference(rewrite,[status(thm)],[])).
% 15.86/11.12 tff(23193,plain,
% 15.86/11.12 ((v124(constB165) <=> (~(v90(constB165, bitIndex1) | (~v90(constB165, bitIndex0)) | (~v90(constB165, bitIndex2))))) <=> (v124(constB165) <=> (~((~v90(constB165, bitIndex2)) | v90(constB165, bitIndex1) | (~v90(constB165, bitIndex0)))))),
% 15.86/11.12 inference(rewrite,[status(thm)],[])).
% 15.86/11.12 tff(23194,plain,
% 15.86/11.12 (((~![VarCurr: $i] : (v124(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex2)))))) | (v124(constB165) <=> (~(v90(constB165, bitIndex1) | (~v90(constB165, bitIndex0)) | (~v90(constB165, bitIndex2)))))) <=> ((~![VarCurr: $i] : (v124(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex2)))))) | (v124(constB165) <=> (~((~v90(constB165, bitIndex2)) | v90(constB165, bitIndex1) | (~v90(constB165, bitIndex0))))))),
% 15.86/11.12 inference(monotonicity,[status(thm)],[23193])).
% 15.86/11.12 tff(23195,plain,
% 15.86/11.12 (((~![VarCurr: $i] : (v124(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex2)))))) | (v124(constB165) <=> (~(v90(constB165, bitIndex1) | (~v90(constB165, bitIndex0)) | (~v90(constB165, bitIndex2)))))) <=> ((~![VarCurr: $i] : (v124(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex2)))))) | (v124(constB165) <=> (~((~v90(constB165, bitIndex2)) | v90(constB165, bitIndex1) | (~v90(constB165, bitIndex0))))))),
% 15.86/11.12 inference(transitivity,[status(thm)],[23194, 23192])).
% 15.86/11.12 tff(23196,plain,
% 15.86/11.12 ((~![VarCurr: $i] : (v124(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex2)))))) | (v124(constB165) <=> (~(v90(constB165, bitIndex1) | (~v90(constB165, bitIndex0)) | (~v90(constB165, bitIndex2)))))),
% 15.86/11.12 inference(quant_inst,[status(thm)],[])).
% 15.86/11.12 tff(23197,plain,
% 15.86/11.12 ((~![VarCurr: $i] : (v124(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex2)))))) | (v124(constB165) <=> (~((~v90(constB165, bitIndex2)) | v90(constB165, bitIndex1) | (~v90(constB165, bitIndex0)))))),
% 15.86/11.12 inference(modus_ponens,[status(thm)],[23196, 23195])).
% 15.86/11.12 tff(23198,plain,
% 15.86/11.12 (v124(constB165) <=> (~((~v90(constB165, bitIndex2)) | v90(constB165, bitIndex1) | (~v90(constB165, bitIndex0))))),
% 15.86/11.12 inference(unit_resolution,[status(thm)],[23197, 5539])).
% 15.86/11.12 tff(23199,plain,
% 15.86/11.12 (((~v90(constB165, bitIndex2)) | v90(constB165, bitIndex1) | (~v90(constB165, bitIndex0))) | (~v90(constB165, bitIndex1))),
% 15.86/11.12 inference(tautology,[status(thm)],[])).
% 15.86/11.12 tff(23200,plain,
% 15.86/11.12 ((~v90(constB165, bitIndex2)) | v90(constB165, bitIndex1) | (~v90(constB165, bitIndex0))),
% 15.86/11.12 inference(unit_resolution,[status(thm)],[23199, 23125])).
% 15.86/11.12 tff(23201,plain,
% 15.86/11.12 ((~(v124(constB165) <=> (~((~v90(constB165, bitIndex2)) | v90(constB165, bitIndex1) | (~v90(constB165, bitIndex0)))))) | (~v124(constB165)) | (~((~v90(constB165, bitIndex2)) | v90(constB165, bitIndex1) | (~v90(constB165, bitIndex0))))),
% 15.86/11.12 inference(tautology,[status(thm)],[])).
% 15.86/11.12 tff(23202,plain,
% 15.86/11.12 (~v124(constB165)),
% 15.86/11.12 inference(unit_resolution,[status(thm)],[23201, 23200, 23198])).
% 15.86/11.12 tff(23203,plain,
% 15.86/11.12 (((~![VarCurr: $i] : (v123(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)))))) | (v123(constB165) <=> (~((~v90(constB165, bitIndex2)) | v90(constB165, bitIndex1) | v90(constB165, bitIndex0))))) <=> ((~![VarCurr: $i] : (v123(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)))))) | (v123(constB165) <=> (~((~v90(constB165, bitIndex2)) | v90(constB165, bitIndex1) | v90(constB165, bitIndex0)))))),
% 15.86/11.12 inference(rewrite,[status(thm)],[])).
% 15.86/11.12 tff(23204,plain,
% 15.86/11.12 ((v123(constB165) <=> (~(v90(constB165, bitIndex0) | v90(constB165, bitIndex1) | (~v90(constB165, bitIndex2))))) <=> (v123(constB165) <=> (~((~v90(constB165, bitIndex2)) | v90(constB165, bitIndex1) | v90(constB165, bitIndex0))))),
% 15.86/11.12 inference(rewrite,[status(thm)],[])).
% 15.86/11.12 tff(23205,plain,
% 15.86/11.12 (((~![VarCurr: $i] : (v123(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)))))) | (v123(constB165) <=> (~(v90(constB165, bitIndex0) | v90(constB165, bitIndex1) | (~v90(constB165, bitIndex2)))))) <=> ((~![VarCurr: $i] : (v123(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)))))) | (v123(constB165) <=> (~((~v90(constB165, bitIndex2)) | v90(constB165, bitIndex1) | v90(constB165, bitIndex0)))))),
% 15.86/11.12 inference(monotonicity,[status(thm)],[23204])).
% 15.86/11.12 tff(23206,plain,
% 15.86/11.12 (((~![VarCurr: $i] : (v123(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)))))) | (v123(constB165) <=> (~(v90(constB165, bitIndex0) | v90(constB165, bitIndex1) | (~v90(constB165, bitIndex2)))))) <=> ((~![VarCurr: $i] : (v123(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)))))) | (v123(constB165) <=> (~((~v90(constB165, bitIndex2)) | v90(constB165, bitIndex1) | v90(constB165, bitIndex0)))))),
% 15.86/11.12 inference(transitivity,[status(thm)],[23205, 23203])).
% 15.86/11.12 tff(23207,plain,
% 15.86/11.12 ((~![VarCurr: $i] : (v123(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)))))) | (v123(constB165) <=> (~(v90(constB165, bitIndex0) | v90(constB165, bitIndex1) | (~v90(constB165, bitIndex2)))))),
% 15.86/11.12 inference(quant_inst,[status(thm)],[])).
% 15.86/11.12 tff(23208,plain,
% 15.86/11.12 ((~![VarCurr: $i] : (v123(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)))))) | (v123(constB165) <=> (~((~v90(constB165, bitIndex2)) | v90(constB165, bitIndex1) | v90(constB165, bitIndex0))))),
% 15.86/11.12 inference(modus_ponens,[status(thm)],[23207, 23206])).
% 15.86/11.12 tff(23209,plain,
% 15.86/11.12 (v123(constB165) <=> (~((~v90(constB165, bitIndex2)) | v90(constB165, bitIndex1) | v90(constB165, bitIndex0)))),
% 15.86/11.12 inference(unit_resolution,[status(thm)],[23208, 621])).
% 15.86/11.12 tff(23210,plain,
% 15.86/11.12 (((~v90(constB165, bitIndex2)) | v90(constB165, bitIndex1) | v90(constB165, bitIndex0)) | (~v90(constB165, bitIndex1))),
% 15.86/11.12 inference(tautology,[status(thm)],[])).
% 15.86/11.12 tff(23211,plain,
% 15.86/11.12 ((~v90(constB165, bitIndex2)) | v90(constB165, bitIndex1) | v90(constB165, bitIndex0)),
% 15.86/11.12 inference(unit_resolution,[status(thm)],[23210, 23125])).
% 15.86/11.12 tff(23212,plain,
% 15.86/11.12 ((~(v123(constB165) <=> (~((~v90(constB165, bitIndex2)) | v90(constB165, bitIndex1) | v90(constB165, bitIndex0))))) | (~v123(constB165)) | (~((~v90(constB165, bitIndex2)) | v90(constB165, bitIndex1) | v90(constB165, bitIndex0)))),
% 15.86/11.12 inference(tautology,[status(thm)],[])).
% 15.86/11.12 tff(23213,plain,
% 15.86/11.12 (~v123(constB165)),
% 15.86/11.12 inference(unit_resolution,[status(thm)],[23212, 23211, 23209])).
% 15.86/11.12 tff(23214,plain,
% 15.86/11.12 (((~![VarCurr: $i] : (v122(VarCurr) <=> (~(v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)))))) | (v122(constB165) <=> (~(v90(constB165, bitIndex2) | (~v90(constB165, bitIndex1)) | (~v90(constB165, bitIndex0)))))) <=> ((~![VarCurr: $i] : (v122(VarCurr) <=> (~(v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)))))) | (v122(constB165) <=> (~(v90(constB165, bitIndex2) | (~v90(constB165, bitIndex1)) | (~v90(constB165, bitIndex0))))))),
% 15.86/11.12 inference(rewrite,[status(thm)],[])).
% 15.86/11.12 tff(23215,plain,
% 15.86/11.12 ((v122(constB165) <=> (~(v90(constB165, bitIndex2) | (~v90(constB165, bitIndex0)) | (~v90(constB165, bitIndex1))))) <=> (v122(constB165) <=> (~(v90(constB165, bitIndex2) | (~v90(constB165, bitIndex1)) | (~v90(constB165, bitIndex0)))))),
% 15.86/11.12 inference(rewrite,[status(thm)],[])).
% 15.86/11.12 tff(23216,plain,
% 15.86/11.12 (((~![VarCurr: $i] : (v122(VarCurr) <=> (~(v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)))))) | (v122(constB165) <=> (~(v90(constB165, bitIndex2) | (~v90(constB165, bitIndex0)) | (~v90(constB165, bitIndex1)))))) <=> ((~![VarCurr: $i] : (v122(VarCurr) <=> (~(v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)))))) | (v122(constB165) <=> (~(v90(constB165, bitIndex2) | (~v90(constB165, bitIndex1)) | (~v90(constB165, bitIndex0))))))),
% 15.86/11.12 inference(monotonicity,[status(thm)],[23215])).
% 15.86/11.12 tff(23217,plain,
% 15.86/11.12 (((~![VarCurr: $i] : (v122(VarCurr) <=> (~(v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)))))) | (v122(constB165) <=> (~(v90(constB165, bitIndex2) | (~v90(constB165, bitIndex0)) | (~v90(constB165, bitIndex1)))))) <=> ((~![VarCurr: $i] : (v122(VarCurr) <=> (~(v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)))))) | (v122(constB165) <=> (~(v90(constB165, bitIndex2) | (~v90(constB165, bitIndex1)) | (~v90(constB165, bitIndex0))))))),
% 15.86/11.12 inference(transitivity,[status(thm)],[23216, 23214])).
% 15.86/11.12 tff(23218,plain,
% 15.86/11.12 ((~![VarCurr: $i] : (v122(VarCurr) <=> (~(v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)))))) | (v122(constB165) <=> (~(v90(constB165, bitIndex2) | (~v90(constB165, bitIndex0)) | (~v90(constB165, bitIndex1)))))),
% 15.86/11.12 inference(quant_inst,[status(thm)],[])).
% 15.86/11.12 tff(23219,plain,
% 15.86/11.12 ((~![VarCurr: $i] : (v122(VarCurr) <=> (~(v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)))))) | (v122(constB165) <=> (~(v90(constB165, bitIndex2) | (~v90(constB165, bitIndex1)) | (~v90(constB165, bitIndex0)))))),
% 15.86/11.12 inference(modus_ponens,[status(thm)],[23218, 23217])).
% 15.86/11.12 tff(23220,plain,
% 15.86/11.12 (v122(constB165) <=> (~(v90(constB165, bitIndex2) | (~v90(constB165, bitIndex1)) | (~v90(constB165, bitIndex0))))),
% 15.86/11.12 inference(unit_resolution,[status(thm)],[23219, 734])).
% 15.86/11.12 tff(23221,plain,
% 15.86/11.12 ((v90(constB165, bitIndex2) | (~v90(constB165, bitIndex1)) | (~v90(constB165, bitIndex0))) | (~v90(constB165, bitIndex2))),
% 15.86/11.12 inference(tautology,[status(thm)],[])).
% 15.86/11.12 tff(23222,plain,
% 15.86/11.12 (v90(constB165, bitIndex2) | (~v90(constB165, bitIndex1)) | (~v90(constB165, bitIndex0))),
% 15.86/11.12 inference(unit_resolution,[status(thm)],[23221, 23063])).
% 15.86/11.12 tff(23223,plain,
% 15.86/11.12 ((~(v122(constB165) <=> (~(v90(constB165, bitIndex2) | (~v90(constB165, bitIndex1)) | (~v90(constB165, bitIndex0)))))) | (~v122(constB165)) | (~(v90(constB165, bitIndex2) | (~v90(constB165, bitIndex1)) | (~v90(constB165, bitIndex0))))),
% 15.86/11.12 inference(tautology,[status(thm)],[])).
% 15.86/11.13 tff(23224,plain,
% 15.86/11.13 (~v122(constB165)),
% 15.86/11.13 inference(unit_resolution,[status(thm)],[23223, 23222, 23220])).
% 15.86/11.13 tff(23225,plain,
% 15.86/11.13 (((~![VarCurr: $i] : (v121(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex1)))))) | (v121(constB165) <=> (~(v90(constB165, bitIndex2) | (~v90(constB165, bitIndex1)) | v90(constB165, bitIndex0))))) <=> ((~![VarCurr: $i] : (v121(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex1)))))) | (v121(constB165) <=> (~(v90(constB165, bitIndex2) | (~v90(constB165, bitIndex1)) | v90(constB165, bitIndex0)))))),
% 15.86/11.13 inference(rewrite,[status(thm)],[])).
% 15.86/11.13 tff(23226,plain,
% 15.86/11.13 ((v121(constB165) <=> (~(v90(constB165, bitIndex0) | v90(constB165, bitIndex2) | (~v90(constB165, bitIndex1))))) <=> (v121(constB165) <=> (~(v90(constB165, bitIndex2) | (~v90(constB165, bitIndex1)) | v90(constB165, bitIndex0))))),
% 15.86/11.13 inference(rewrite,[status(thm)],[])).
% 15.86/11.13 tff(23227,plain,
% 15.86/11.13 (((~![VarCurr: $i] : (v121(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex1)))))) | (v121(constB165) <=> (~(v90(constB165, bitIndex0) | v90(constB165, bitIndex2) | (~v90(constB165, bitIndex1)))))) <=> ((~![VarCurr: $i] : (v121(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex1)))))) | (v121(constB165) <=> (~(v90(constB165, bitIndex2) | (~v90(constB165, bitIndex1)) | v90(constB165, bitIndex0)))))),
% 15.86/11.13 inference(monotonicity,[status(thm)],[23226])).
% 15.86/11.13 tff(23228,plain,
% 15.86/11.13 (((~![VarCurr: $i] : (v121(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex1)))))) | (v121(constB165) <=> (~(v90(constB165, bitIndex0) | v90(constB165, bitIndex2) | (~v90(constB165, bitIndex1)))))) <=> ((~![VarCurr: $i] : (v121(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex1)))))) | (v121(constB165) <=> (~(v90(constB165, bitIndex2) | (~v90(constB165, bitIndex1)) | v90(constB165, bitIndex0)))))),
% 15.86/11.13 inference(transitivity,[status(thm)],[23227, 23225])).
% 15.86/11.13 tff(23229,plain,
% 15.86/11.13 ((~![VarCurr: $i] : (v121(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex1)))))) | (v121(constB165) <=> (~(v90(constB165, bitIndex0) | v90(constB165, bitIndex2) | (~v90(constB165, bitIndex1)))))),
% 15.86/11.13 inference(quant_inst,[status(thm)],[])).
% 15.86/11.13 tff(23230,plain,
% 15.86/11.13 ((~![VarCurr: $i] : (v121(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex1)))))) | (v121(constB165) <=> (~(v90(constB165, bitIndex2) | (~v90(constB165, bitIndex1)) | v90(constB165, bitIndex0))))),
% 15.86/11.13 inference(modus_ponens,[status(thm)],[23229, 23228])).
% 15.86/11.13 tff(23231,plain,
% 15.86/11.13 (v121(constB165) <=> (~(v90(constB165, bitIndex2) | (~v90(constB165, bitIndex1)) | v90(constB165, bitIndex0)))),
% 15.86/11.13 inference(unit_resolution,[status(thm)],[23230, 849])).
% 15.86/11.13 tff(23232,plain,
% 15.86/11.13 ((v90(constB165, bitIndex2) | (~v90(constB165, bitIndex1)) | v90(constB165, bitIndex0)) | (~v90(constB165, bitIndex2))),
% 15.86/11.13 inference(tautology,[status(thm)],[])).
% 15.86/11.13 tff(23233,plain,
% 15.86/11.13 (v90(constB165, bitIndex2) | (~v90(constB165, bitIndex1)) | v90(constB165, bitIndex0)),
% 15.86/11.13 inference(unit_resolution,[status(thm)],[23232, 23063])).
% 15.86/11.13 tff(23234,plain,
% 15.86/11.13 ((~(v121(constB165) <=> (~(v90(constB165, bitIndex2) | (~v90(constB165, bitIndex1)) | v90(constB165, bitIndex0))))) | (~v121(constB165)) | (~(v90(constB165, bitIndex2) | (~v90(constB165, bitIndex1)) | v90(constB165, bitIndex0)))),
% 15.86/11.13 inference(tautology,[status(thm)],[])).
% 15.86/11.13 tff(23235,plain,
% 15.86/11.13 (~v121(constB165)),
% 15.86/11.13 inference(unit_resolution,[status(thm)],[23234, 23233, 23231])).
% 15.86/11.13 tff(23236,plain,
% 15.86/11.13 (((~![VarCurr: $i] : (v120(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)))))) | (v120(constB165) <=> (~(v90(constB165, bitIndex2) | v90(constB165, bitIndex1) | (~v90(constB165, bitIndex0)))))) <=> ((~![VarCurr: $i] : (v120(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)))))) | (v120(constB165) <=> (~(v90(constB165, bitIndex2) | v90(constB165, bitIndex1) | (~v90(constB165, bitIndex0))))))),
% 15.86/11.13 inference(rewrite,[status(thm)],[])).
% 15.86/11.13 tff(23237,plain,
% 15.86/11.13 ((v120(constB165) <=> (~(v90(constB165, bitIndex1) | v90(constB165, bitIndex2) | (~v90(constB165, bitIndex0))))) <=> (v120(constB165) <=> (~(v90(constB165, bitIndex2) | v90(constB165, bitIndex1) | (~v90(constB165, bitIndex0)))))),
% 15.86/11.13 inference(rewrite,[status(thm)],[])).
% 15.86/11.13 tff(23238,plain,
% 15.86/11.13 (((~![VarCurr: $i] : (v120(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)))))) | (v120(constB165) <=> (~(v90(constB165, bitIndex1) | v90(constB165, bitIndex2) | (~v90(constB165, bitIndex0)))))) <=> ((~![VarCurr: $i] : (v120(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)))))) | (v120(constB165) <=> (~(v90(constB165, bitIndex2) | v90(constB165, bitIndex1) | (~v90(constB165, bitIndex0))))))),
% 15.86/11.13 inference(monotonicity,[status(thm)],[23237])).
% 15.86/11.13 tff(23239,plain,
% 15.86/11.13 (((~![VarCurr: $i] : (v120(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)))))) | (v120(constB165) <=> (~(v90(constB165, bitIndex1) | v90(constB165, bitIndex2) | (~v90(constB165, bitIndex0)))))) <=> ((~![VarCurr: $i] : (v120(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)))))) | (v120(constB165) <=> (~(v90(constB165, bitIndex2) | v90(constB165, bitIndex1) | (~v90(constB165, bitIndex0))))))),
% 15.86/11.13 inference(transitivity,[status(thm)],[23238, 23236])).
% 15.86/11.13 tff(23240,plain,
% 15.86/11.13 ((~![VarCurr: $i] : (v120(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)))))) | (v120(constB165) <=> (~(v90(constB165, bitIndex1) | v90(constB165, bitIndex2) | (~v90(constB165, bitIndex0)))))),
% 15.86/11.13 inference(quant_inst,[status(thm)],[])).
% 15.86/11.13 tff(23241,plain,
% 15.86/11.13 ((~![VarCurr: $i] : (v120(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)))))) | (v120(constB165) <=> (~(v90(constB165, bitIndex2) | v90(constB165, bitIndex1) | (~v90(constB165, bitIndex0)))))),
% 15.86/11.13 inference(modus_ponens,[status(thm)],[23240, 23239])).
% 15.86/11.13 tff(23242,plain,
% 15.86/11.13 (v120(constB165) <=> (~(v90(constB165, bitIndex2) | v90(constB165, bitIndex1) | (~v90(constB165, bitIndex0))))),
% 15.86/11.13 inference(unit_resolution,[status(thm)],[23241, 966])).
% 15.86/11.13 tff(23243,plain,
% 15.86/11.13 ((v90(constB165, bitIndex2) | v90(constB165, bitIndex1) | (~v90(constB165, bitIndex0))) | (~v90(constB165, bitIndex2))),
% 15.86/11.13 inference(tautology,[status(thm)],[])).
% 15.86/11.13 tff(23244,plain,
% 15.86/11.13 (v90(constB165, bitIndex2) | v90(constB165, bitIndex1) | (~v90(constB165, bitIndex0))),
% 15.86/11.13 inference(unit_resolution,[status(thm)],[23243, 23063])).
% 15.86/11.13 tff(23245,plain,
% 15.86/11.13 ((~(v120(constB165) <=> (~(v90(constB165, bitIndex2) | v90(constB165, bitIndex1) | (~v90(constB165, bitIndex0)))))) | (~v120(constB165)) | (~(v90(constB165, bitIndex2) | v90(constB165, bitIndex1) | (~v90(constB165, bitIndex0))))),
% 15.86/11.13 inference(tautology,[status(thm)],[])).
% 15.86/11.13 tff(23246,plain,
% 15.86/11.13 (~v120(constB165)),
% 15.86/11.13 inference(unit_resolution,[status(thm)],[23245, 23244, 23242])).
% 15.86/11.13 tff(23247,plain,
% 15.86/11.13 (((~![VarCurr: $i] : (v124(VarCurr) | v123(VarCurr) | v122(VarCurr) | v121(VarCurr) | v120(VarCurr) | v119(VarCurr) | ![B: $i] : ((~less_3(B)) | (v130(VarCurr, B) <=> b001(B))))) | (v119(constB165) | v120(constB165) | v121(constB165) | v122(constB165) | v123(constB165) | v124(constB165) | ![B: $i] : ((~less_3(B)) | (v130(constB165, B) <=> b001(B))))) <=> ((~![VarCurr: $i] : (v124(VarCurr) | v123(VarCurr) | v122(VarCurr) | v121(VarCurr) | v120(VarCurr) | v119(VarCurr) | ![B: $i] : ((~less_3(B)) | (v130(VarCurr, B) <=> b001(B))))) | v119(constB165) | v120(constB165) | v121(constB165) | v122(constB165) | v123(constB165) | v124(constB165) | ![B: $i] : ((~less_3(B)) | (v130(constB165, B) <=> b001(B))))),
% 15.86/11.13 inference(rewrite,[status(thm)],[])).
% 15.86/11.13 tff(23248,plain,
% 15.86/11.13 ((v124(constB165) | v123(constB165) | v122(constB165) | v121(constB165) | v120(constB165) | v119(constB165) | ![B: $i] : ((~less_3(B)) | (v130(constB165, B) <=> b001(B)))) <=> (v119(constB165) | v120(constB165) | v121(constB165) | v122(constB165) | v123(constB165) | v124(constB165) | ![B: $i] : ((~less_3(B)) | (v130(constB165, B) <=> b001(B))))),
% 15.86/11.13 inference(rewrite,[status(thm)],[])).
% 15.86/11.13 tff(23249,plain,
% 15.86/11.13 (((~![VarCurr: $i] : (v124(VarCurr) | v123(VarCurr) | v122(VarCurr) | v121(VarCurr) | v120(VarCurr) | v119(VarCurr) | ![B: $i] : ((~less_3(B)) | (v130(VarCurr, B) <=> b001(B))))) | (v124(constB165) | v123(constB165) | v122(constB165) | v121(constB165) | v120(constB165) | v119(constB165) | ![B: $i] : ((~less_3(B)) | (v130(constB165, B) <=> b001(B))))) <=> ((~![VarCurr: $i] : (v124(VarCurr) | v123(VarCurr) | v122(VarCurr) | v121(VarCurr) | v120(VarCurr) | v119(VarCurr) | ![B: $i] : ((~less_3(B)) | (v130(VarCurr, B) <=> b001(B))))) | (v119(constB165) | v120(constB165) | v121(constB165) | v122(constB165) | v123(constB165) | v124(constB165) | ![B: $i] : ((~less_3(B)) | (v130(constB165, B) <=> b001(B)))))),
% 15.86/11.13 inference(monotonicity,[status(thm)],[23248])).
% 15.86/11.13 tff(23250,plain,
% 15.86/11.13 (((~![VarCurr: $i] : (v124(VarCurr) | v123(VarCurr) | v122(VarCurr) | v121(VarCurr) | v120(VarCurr) | v119(VarCurr) | ![B: $i] : ((~less_3(B)) | (v130(VarCurr, B) <=> b001(B))))) | (v124(constB165) | v123(constB165) | v122(constB165) | v121(constB165) | v120(constB165) | v119(constB165) | ![B: $i] : ((~less_3(B)) | (v130(constB165, B) <=> b001(B))))) <=> ((~![VarCurr: $i] : (v124(VarCurr) | v123(VarCurr) | v122(VarCurr) | v121(VarCurr) | v120(VarCurr) | v119(VarCurr) | ![B: $i] : ((~less_3(B)) | (v130(VarCurr, B) <=> b001(B))))) | v119(constB165) | v120(constB165) | v121(constB165) | v122(constB165) | v123(constB165) | v124(constB165) | ![B: $i] : ((~less_3(B)) | (v130(constB165, B) <=> b001(B))))),
% 15.86/11.13 inference(transitivity,[status(thm)],[23249, 23247])).
% 15.86/11.13 tff(23251,plain,
% 15.86/11.13 ((~![VarCurr: $i] : (v124(VarCurr) | v123(VarCurr) | v122(VarCurr) | v121(VarCurr) | v120(VarCurr) | v119(VarCurr) | ![B: $i] : ((~less_3(B)) | (v130(VarCurr, B) <=> b001(B))))) | (v124(constB165) | v123(constB165) | v122(constB165) | v121(constB165) | v120(constB165) | v119(constB165) | ![B: $i] : ((~less_3(B)) | (v130(constB165, B) <=> b001(B))))),
% 15.86/11.13 inference(quant_inst,[status(thm)],[])).
% 15.86/11.13 tff(23252,plain,
% 15.86/11.13 ((~![VarCurr: $i] : (v124(VarCurr) | v123(VarCurr) | v122(VarCurr) | v121(VarCurr) | v120(VarCurr) | v119(VarCurr) | ![B: $i] : ((~less_3(B)) | (v130(VarCurr, B) <=> b001(B))))) | v119(constB165) | v120(constB165) | v121(constB165) | v122(constB165) | v123(constB165) | v124(constB165) | ![B: $i] : ((~less_3(B)) | (v130(constB165, B) <=> b001(B)))),
% 15.86/11.13 inference(modus_ponens,[status(thm)],[23251, 23250])).
% 15.86/11.13 tff(23253,plain,
% 15.86/11.13 (v119(constB165) | v120(constB165) | v121(constB165) | v122(constB165) | v123(constB165) | v124(constB165) | ![B: $i] : ((~less_3(B)) | (v130(constB165, B) <=> b001(B)))),
% 15.86/11.13 inference(unit_resolution,[status(thm)],[23252, 5610])).
% 15.86/11.13 tff(23254,plain,
% 15.86/11.13 (![B: $i] : ((~less_3(B)) | (v130(constB165, B) <=> b001(B)))),
% 15.86/11.13 inference(unit_resolution,[status(thm)],[23253, 23246, 23235, 23224, 23213, 23202, 23191])).
% 15.86/11.13 tff(23255,plain,
% 15.86/11.13 (((~![B: $i] : ((~less_3(B)) | (v130(constB165, B) <=> b001(B)))) | ((~less_3(bitIndex2)) | (v130(constB165, bitIndex2) <=> b001(bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v130(constB165, B) <=> b001(B)))) | (~less_3(bitIndex2)) | (v130(constB165, bitIndex2) <=> b001(bitIndex2)))),
% 15.86/11.13 inference(rewrite,[status(thm)],[])).
% 15.86/11.13 tff(23256,plain,
% 15.86/11.13 ((~![B: $i] : ((~less_3(B)) | (v130(constB165, B) <=> b001(B)))) | ((~less_3(bitIndex2)) | (v130(constB165, bitIndex2) <=> b001(bitIndex2)))),
% 15.86/11.13 inference(quant_inst,[status(thm)],[])).
% 15.86/11.13 tff(23257,plain,
% 15.86/11.13 ((~![B: $i] : ((~less_3(B)) | (v130(constB165, B) <=> b001(B)))) | (~less_3(bitIndex2)) | (v130(constB165, bitIndex2) <=> b001(bitIndex2))),
% 15.86/11.13 inference(modus_ponens,[status(thm)],[23256, 23255])).
% 15.86/11.13 tff(23258,plain,
% 15.86/11.13 (v130(constB165, bitIndex2) <=> b001(bitIndex2)),
% 15.86/11.13 inference(unit_resolution,[status(thm)],[23257, 413, 23254])).
% 15.86/11.13 tff(23259,plain,
% 15.86/11.13 ((~(v130(constB165, bitIndex2) <=> b001(bitIndex2))) | (~v130(constB165, bitIndex2)) | b001(bitIndex2)),
% 15.86/11.13 inference(tautology,[status(thm)],[])).
% 15.86/11.13 tff(23260,plain,
% 15.86/11.13 ((~(v130(constB165, bitIndex2) <=> b001(bitIndex2))) | (~v130(constB165, bitIndex2))),
% 15.86/11.13 inference(unit_resolution,[status(thm)],[23259, 5625])).
% 15.86/11.13 tff(23261,plain,
% 15.86/11.13 (~v130(constB165, bitIndex2)),
% 15.86/11.13 inference(unit_resolution,[status(thm)],[23260, 23258])).
% 15.86/11.13 tff(23262,plain,
% 15.86/11.13 ((~(v127(constB165, bitIndex2) <=> v130(constB165, bitIndex2))) | (~v127(constB165, bitIndex2)) | v130(constB165, bitIndex2)),
% 15.86/11.13 inference(tautology,[status(thm)],[])).
% 15.86/11.13 tff(23263,plain,
% 15.86/11.13 (~v127(constB165, bitIndex2)),
% 15.86/11.13 inference(unit_resolution,[status(thm)],[23262, 23261, 23185])).
% 15.86/11.13 tff(23264,plain,
% 15.86/11.13 ((~(v129(constB166, bitIndex2) <=> v127(constB165, bitIndex2))) | (~v129(constB166, bitIndex2)) | v127(constB165, bitIndex2)),
% 15.86/11.13 inference(tautology,[status(thm)],[])).
% 15.86/11.13 tff(23265,plain,
% 15.86/11.13 (~v129(constB166, bitIndex2)),
% 15.86/11.13 inference(unit_resolution,[status(thm)],[23264, 23263, 23177])).
% 15.86/11.13 tff(23266,plain,
% 15.86/11.13 ((~(v90(constB166, bitIndex2) <=> v129(constB166, bitIndex2))) | (~v90(constB166, bitIndex2)) | v129(constB166, bitIndex2)),
% 15.86/11.13 inference(tautology,[status(thm)],[])).
% 15.86/11.13 tff(23267,plain,
% 15.86/11.13 (~v90(constB166, bitIndex2)),
% 15.86/11.13 inference(unit_resolution,[status(thm)],[23266, 23265, 23169])).
% 15.86/11.13 tff(23268,plain,
% 15.86/11.13 ((~(v90(constB167, bitIndex2) <=> v90(constB166, bitIndex2))) | (~v90(constB167, bitIndex2)) | v90(constB166, bitIndex2)),
% 15.86/11.13 inference(tautology,[status(thm)],[])).
% 15.86/11.13 tff(23269,plain,
% 15.86/11.13 (~v90(constB167, bitIndex2)),
% 15.86/11.13 inference(unit_resolution,[status(thm)],[23268, 23267, 20808])).
% 15.86/11.13 tff(23270,plain,
% 15.86/11.13 (((~![B: $i] : ((~less_3(B)) | (v90(constB167, B) <=> v90(constB166, B)))) | ((~less_3(bitIndex0)) | (v90(constB167, bitIndex0) <=> v90(constB166, bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v90(constB167, B) <=> v90(constB166, B)))) | (~less_3(bitIndex0)) | (v90(constB167, bitIndex0) <=> v90(constB166, bitIndex0)))),
% 15.86/11.13 inference(rewrite,[status(thm)],[])).
% 15.86/11.13 tff(23271,plain,
% 15.86/11.13 ((~![B: $i] : ((~less_3(B)) | (v90(constB167, B) <=> v90(constB166, B)))) | ((~less_3(bitIndex0)) | (v90(constB167, bitIndex0) <=> v90(constB166, bitIndex0)))),
% 15.86/11.13 inference(quant_inst,[status(thm)],[])).
% 15.86/11.13 tff(23272,plain,
% 15.86/11.13 ((~![B: $i] : ((~less_3(B)) | (v90(constB167, B) <=> v90(constB166, B)))) | (~less_3(bitIndex0)) | (v90(constB167, bitIndex0) <=> v90(constB166, bitIndex0))),
% 15.86/11.13 inference(modus_ponens,[status(thm)],[23271, 23270])).
% 15.86/11.13 tff(23273,plain,
% 15.86/11.13 (v90(constB167, bitIndex0) <=> v90(constB166, bitIndex0)),
% 15.86/11.13 inference(unit_resolution,[status(thm)],[23272, 5004, 20804])).
% 15.86/11.13 tff(23274,plain,
% 15.86/11.13 (((~![B: $i] : ((~less_3(B)) | (v90(constB166, B) <=> v129(constB166, B)))) | ((~less_3(bitIndex0)) | (v90(constB166, bitIndex0) <=> v129(constB166, bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v90(constB166, B) <=> v129(constB166, B)))) | (~less_3(bitIndex0)) | (v90(constB166, bitIndex0) <=> v129(constB166, bitIndex0)))),
% 15.86/11.13 inference(rewrite,[status(thm)],[])).
% 15.86/11.13 tff(23275,plain,
% 15.86/11.13 ((~![B: $i] : ((~less_3(B)) | (v90(constB166, B) <=> v129(constB166, B)))) | ((~less_3(bitIndex0)) | (v90(constB166, bitIndex0) <=> v129(constB166, bitIndex0)))),
% 15.86/11.13 inference(quant_inst,[status(thm)],[])).
% 15.86/11.13 tff(23276,plain,
% 15.86/11.13 ((~![B: $i] : ((~less_3(B)) | (v90(constB166, B) <=> v129(constB166, B)))) | (~less_3(bitIndex0)) | (v90(constB166, bitIndex0) <=> v129(constB166, bitIndex0))),
% 15.86/11.13 inference(modus_ponens,[status(thm)],[23275, 23274])).
% 15.86/11.13 tff(23277,plain,
% 15.86/11.13 (v90(constB166, bitIndex0) <=> v129(constB166, bitIndex0)),
% 15.86/11.13 inference(unit_resolution,[status(thm)],[23276, 5004, 23165])).
% 15.86/11.13 tff(23278,plain,
% 15.86/11.13 (((~![B: $i] : ((~less_3(B)) | (v129(constB166, B) <=> v127(constB165, B)))) | ((~less_3(bitIndex0)) | (v129(constB166, bitIndex0) <=> v127(constB165, bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v129(constB166, B) <=> v127(constB165, B)))) | (~less_3(bitIndex0)) | (v129(constB166, bitIndex0) <=> v127(constB165, bitIndex0)))),
% 15.86/11.13 inference(rewrite,[status(thm)],[])).
% 15.86/11.13 tff(23279,plain,
% 15.86/11.13 ((~![B: $i] : ((~less_3(B)) | (v129(constB166, B) <=> v127(constB165, B)))) | ((~less_3(bitIndex0)) | (v129(constB166, bitIndex0) <=> v127(constB165, bitIndex0)))),
% 15.86/11.14 inference(quant_inst,[status(thm)],[])).
% 15.86/11.14 tff(23280,plain,
% 15.86/11.14 ((~![B: $i] : ((~less_3(B)) | (v129(constB166, B) <=> v127(constB165, B)))) | (~less_3(bitIndex0)) | (v129(constB166, bitIndex0) <=> v127(constB165, bitIndex0))),
% 15.86/11.14 inference(modus_ponens,[status(thm)],[23279, 23278])).
% 15.86/11.14 tff(23281,plain,
% 15.86/11.14 (v129(constB166, bitIndex0) <=> v127(constB165, bitIndex0)),
% 15.86/11.14 inference(unit_resolution,[status(thm)],[23280, 5004, 23173])).
% 15.86/11.14 tff(23282,plain,
% 15.86/11.14 (((~![B: $i] : ((~less_3(B)) | (v127(constB165, B) <=> v130(constB165, B)))) | ((~less_3(bitIndex0)) | (v127(constB165, bitIndex0) <=> v130(constB165, bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v127(constB165, B) <=> v130(constB165, B)))) | (~less_3(bitIndex0)) | (v127(constB165, bitIndex0) <=> v130(constB165, bitIndex0)))),
% 15.86/11.14 inference(rewrite,[status(thm)],[])).
% 15.86/11.14 tff(23283,plain,
% 15.86/11.14 ((~![B: $i] : ((~less_3(B)) | (v127(constB165, B) <=> v130(constB165, B)))) | ((~less_3(bitIndex0)) | (v127(constB165, bitIndex0) <=> v130(constB165, bitIndex0)))),
% 15.86/11.14 inference(quant_inst,[status(thm)],[])).
% 15.86/11.14 tff(23284,plain,
% 15.86/11.14 ((~![B: $i] : ((~less_3(B)) | (v127(constB165, B) <=> v130(constB165, B)))) | (~less_3(bitIndex0)) | (v127(constB165, bitIndex0) <=> v130(constB165, bitIndex0))),
% 15.86/11.14 inference(modus_ponens,[status(thm)],[23283, 23282])).
% 15.86/11.14 tff(23285,plain,
% 15.86/11.14 (v127(constB165, bitIndex0) <=> v130(constB165, bitIndex0)),
% 15.86/11.14 inference(unit_resolution,[status(thm)],[23284, 5004, 23181])).
% 15.86/11.14 tff(23286,plain,
% 15.86/11.14 (((~![B: $i] : ((~less_3(B)) | (v130(constB165, B) <=> b001(B)))) | ((~less_3(bitIndex0)) | (v130(constB165, bitIndex0) <=> b001(bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v130(constB165, B) <=> b001(B)))) | (~less_3(bitIndex0)) | (v130(constB165, bitIndex0) <=> b001(bitIndex0)))),
% 15.86/11.14 inference(rewrite,[status(thm)],[])).
% 15.86/11.14 tff(23287,plain,
% 15.86/11.14 ((~![B: $i] : ((~less_3(B)) | (v130(constB165, B) <=> b001(B)))) | ((~less_3(bitIndex0)) | (v130(constB165, bitIndex0) <=> b001(bitIndex0)))),
% 15.86/11.14 inference(quant_inst,[status(thm)],[])).
% 15.86/11.14 tff(23288,plain,
% 15.86/11.14 ((~![B: $i] : ((~less_3(B)) | (v130(constB165, B) <=> b001(B)))) | (~less_3(bitIndex0)) | (v130(constB165, bitIndex0) <=> b001(bitIndex0))),
% 15.86/11.14 inference(modus_ponens,[status(thm)],[23287, 23286])).
% 15.86/11.14 tff(23289,plain,
% 15.86/11.14 (v130(constB165, bitIndex0) <=> b001(bitIndex0)),
% 15.86/11.14 inference(unit_resolution,[status(thm)],[23288, 5004, 23254])).
% 15.86/11.14 tff(23290,plain,
% 15.86/11.14 ((~(v130(constB165, bitIndex0) <=> b001(bitIndex0))) | v130(constB165, bitIndex0) | (~b001(bitIndex0))),
% 15.86/11.14 inference(tautology,[status(thm)],[])).
% 15.86/11.14 tff(23291,plain,
% 15.86/11.14 ((~(v130(constB165, bitIndex0) <=> b001(bitIndex0))) | v130(constB165, bitIndex0)),
% 15.86/11.14 inference(unit_resolution,[status(thm)],[23290, 5659])).
% 15.86/11.14 tff(23292,plain,
% 15.86/11.14 (v130(constB165, bitIndex0)),
% 15.86/11.14 inference(unit_resolution,[status(thm)],[23291, 23289])).
% 15.86/11.14 tff(23293,plain,
% 15.86/11.14 ((~(v127(constB165, bitIndex0) <=> v130(constB165, bitIndex0))) | v127(constB165, bitIndex0) | (~v130(constB165, bitIndex0))),
% 15.86/11.14 inference(tautology,[status(thm)],[])).
% 15.86/11.14 tff(23294,plain,
% 15.86/11.14 (v127(constB165, bitIndex0)),
% 15.86/11.14 inference(unit_resolution,[status(thm)],[23293, 23292, 23285])).
% 15.86/11.14 tff(23295,plain,
% 15.86/11.14 ((~(v129(constB166, bitIndex0) <=> v127(constB165, bitIndex0))) | v129(constB166, bitIndex0) | (~v127(constB165, bitIndex0))),
% 15.86/11.14 inference(tautology,[status(thm)],[])).
% 15.86/11.14 tff(23296,plain,
% 15.86/11.14 (v129(constB166, bitIndex0)),
% 15.86/11.14 inference(unit_resolution,[status(thm)],[23295, 23294, 23281])).
% 15.86/11.14 tff(23297,plain,
% 15.86/11.14 ((~(v90(constB166, bitIndex0) <=> v129(constB166, bitIndex0))) | v90(constB166, bitIndex0) | (~v129(constB166, bitIndex0))),
% 15.86/11.14 inference(tautology,[status(thm)],[])).
% 15.86/11.14 tff(23298,plain,
% 15.86/11.14 (v90(constB166, bitIndex0)),
% 15.86/11.14 inference(unit_resolution,[status(thm)],[23297, 23296, 23277])).
% 15.86/11.14 tff(23299,plain,
% 15.86/11.14 ((~(v90(constB167, bitIndex0) <=> v90(constB166, bitIndex0))) | v90(constB167, bitIndex0) | (~v90(constB166, bitIndex0))),
% 15.86/11.14 inference(tautology,[status(thm)],[])).
% 15.86/11.14 tff(23300,plain,
% 15.86/11.14 (v90(constB167, bitIndex0)),
% 15.86/11.14 inference(unit_resolution,[status(thm)],[23299, 23298, 23273])).
% 15.86/11.14 tff(23301,plain,
% 15.86/11.14 (((~![B: $i] : ((~less_3(B)) | (v90(constB167, B) <=> v90(constB166, B)))) | ((~less_3(bitIndex1)) | (v90(constB167, bitIndex1) <=> v90(constB166, bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v90(constB167, B) <=> v90(constB166, B)))) | (~less_3(bitIndex1)) | (v90(constB167, bitIndex1) <=> v90(constB166, bitIndex1)))),
% 15.86/11.14 inference(rewrite,[status(thm)],[])).
% 15.86/11.14 tff(23302,plain,
% 15.86/11.14 ((~![B: $i] : ((~less_3(B)) | (v90(constB167, B) <=> v90(constB166, B)))) | ((~less_3(bitIndex1)) | (v90(constB167, bitIndex1) <=> v90(constB166, bitIndex1)))),
% 15.86/11.14 inference(quant_inst,[status(thm)],[])).
% 15.86/11.14 tff(23303,plain,
% 15.86/11.14 ((~![B: $i] : ((~less_3(B)) | (v90(constB167, B) <=> v90(constB166, B)))) | (~less_3(bitIndex1)) | (v90(constB167, bitIndex1) <=> v90(constB166, bitIndex1))),
% 15.86/11.14 inference(modus_ponens,[status(thm)],[23302, 23301])).
% 15.86/11.14 tff(23304,plain,
% 15.86/11.14 (v90(constB167, bitIndex1) <=> v90(constB166, bitIndex1)),
% 15.86/11.14 inference(unit_resolution,[status(thm)],[23303, 5017, 20804])).
% 15.86/11.14 tff(23305,plain,
% 15.86/11.14 (((~![B: $i] : ((~less_3(B)) | (v90(constB166, B) <=> v129(constB166, B)))) | ((~less_3(bitIndex1)) | (v90(constB166, bitIndex1) <=> v129(constB166, bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v90(constB166, B) <=> v129(constB166, B)))) | (~less_3(bitIndex1)) | (v90(constB166, bitIndex1) <=> v129(constB166, bitIndex1)))),
% 15.86/11.14 inference(rewrite,[status(thm)],[])).
% 15.86/11.14 tff(23306,plain,
% 15.86/11.14 ((~![B: $i] : ((~less_3(B)) | (v90(constB166, B) <=> v129(constB166, B)))) | ((~less_3(bitIndex1)) | (v90(constB166, bitIndex1) <=> v129(constB166, bitIndex1)))),
% 15.86/11.14 inference(quant_inst,[status(thm)],[])).
% 15.86/11.14 tff(23307,plain,
% 15.86/11.14 ((~![B: $i] : ((~less_3(B)) | (v90(constB166, B) <=> v129(constB166, B)))) | (~less_3(bitIndex1)) | (v90(constB166, bitIndex1) <=> v129(constB166, bitIndex1))),
% 15.86/11.14 inference(modus_ponens,[status(thm)],[23306, 23305])).
% 15.86/11.14 tff(23308,plain,
% 15.86/11.14 (v90(constB166, bitIndex1) <=> v129(constB166, bitIndex1)),
% 15.86/11.14 inference(unit_resolution,[status(thm)],[23307, 5017, 23165])).
% 15.86/11.14 tff(23309,plain,
% 15.86/11.14 (((~![B: $i] : ((~less_3(B)) | (v129(constB166, B) <=> v127(constB165, B)))) | ((~less_3(bitIndex1)) | (v129(constB166, bitIndex1) <=> v127(constB165, bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v129(constB166, B) <=> v127(constB165, B)))) | (~less_3(bitIndex1)) | (v129(constB166, bitIndex1) <=> v127(constB165, bitIndex1)))),
% 15.86/11.14 inference(rewrite,[status(thm)],[])).
% 15.86/11.14 tff(23310,plain,
% 15.86/11.14 ((~![B: $i] : ((~less_3(B)) | (v129(constB166, B) <=> v127(constB165, B)))) | ((~less_3(bitIndex1)) | (v129(constB166, bitIndex1) <=> v127(constB165, bitIndex1)))),
% 15.86/11.14 inference(quant_inst,[status(thm)],[])).
% 15.86/11.14 tff(23311,plain,
% 15.86/11.14 ((~![B: $i] : ((~less_3(B)) | (v129(constB166, B) <=> v127(constB165, B)))) | (~less_3(bitIndex1)) | (v129(constB166, bitIndex1) <=> v127(constB165, bitIndex1))),
% 15.86/11.14 inference(modus_ponens,[status(thm)],[23310, 23309])).
% 15.86/11.14 tff(23312,plain,
% 15.86/11.14 (v129(constB166, bitIndex1) <=> v127(constB165, bitIndex1)),
% 15.86/11.14 inference(unit_resolution,[status(thm)],[23311, 5017, 23173])).
% 15.86/11.14 tff(23313,plain,
% 15.86/11.14 (((~![B: $i] : ((~less_3(B)) | (v127(constB165, B) <=> v130(constB165, B)))) | ((~less_3(bitIndex1)) | (v127(constB165, bitIndex1) <=> v130(constB165, bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v127(constB165, B) <=> v130(constB165, B)))) | (~less_3(bitIndex1)) | (v127(constB165, bitIndex1) <=> v130(constB165, bitIndex1)))),
% 15.86/11.14 inference(rewrite,[status(thm)],[])).
% 15.86/11.14 tff(23314,plain,
% 15.86/11.14 ((~![B: $i] : ((~less_3(B)) | (v127(constB165, B) <=> v130(constB165, B)))) | ((~less_3(bitIndex1)) | (v127(constB165, bitIndex1) <=> v130(constB165, bitIndex1)))),
% 15.86/11.14 inference(quant_inst,[status(thm)],[])).
% 15.86/11.14 tff(23315,plain,
% 15.86/11.14 ((~![B: $i] : ((~less_3(B)) | (v127(constB165, B) <=> v130(constB165, B)))) | (~less_3(bitIndex1)) | (v127(constB165, bitIndex1) <=> v130(constB165, bitIndex1))),
% 15.86/11.14 inference(modus_ponens,[status(thm)],[23314, 23313])).
% 15.86/11.14 tff(23316,plain,
% 15.86/11.14 (v127(constB165, bitIndex1) <=> v130(constB165, bitIndex1)),
% 15.86/11.14 inference(unit_resolution,[status(thm)],[23315, 5017, 23181])).
% 15.86/11.14 tff(23317,plain,
% 15.86/11.14 (((~![B: $i] : ((~less_3(B)) | (v130(constB165, B) <=> b001(B)))) | ((~less_3(bitIndex1)) | (v130(constB165, bitIndex1) <=> b001(bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v130(constB165, B) <=> b001(B)))) | (~less_3(bitIndex1)) | (v130(constB165, bitIndex1) <=> b001(bitIndex1)))),
% 15.86/11.14 inference(rewrite,[status(thm)],[])).
% 15.86/11.14 tff(23318,plain,
% 15.86/11.14 ((~![B: $i] : ((~less_3(B)) | (v130(constB165, B) <=> b001(B)))) | ((~less_3(bitIndex1)) | (v130(constB165, bitIndex1) <=> b001(bitIndex1)))),
% 15.86/11.14 inference(quant_inst,[status(thm)],[])).
% 15.86/11.14 tff(23319,plain,
% 15.86/11.14 ((~![B: $i] : ((~less_3(B)) | (v130(constB165, B) <=> b001(B)))) | (~less_3(bitIndex1)) | (v130(constB165, bitIndex1) <=> b001(bitIndex1))),
% 15.86/11.14 inference(modus_ponens,[status(thm)],[23318, 23317])).
% 15.86/11.14 tff(23320,plain,
% 15.86/11.14 (v130(constB165, bitIndex1) <=> b001(bitIndex1)),
% 15.86/11.14 inference(unit_resolution,[status(thm)],[23319, 5017, 23254])).
% 15.86/11.14 tff(23321,plain,
% 15.86/11.14 ((~(v130(constB165, bitIndex1) <=> b001(bitIndex1))) | (~v130(constB165, bitIndex1)) | b001(bitIndex1)),
% 15.86/11.14 inference(tautology,[status(thm)],[])).
% 15.86/11.14 tff(23322,plain,
% 15.86/11.14 ((~(v130(constB165, bitIndex1) <=> b001(bitIndex1))) | (~v130(constB165, bitIndex1))),
% 15.86/11.14 inference(unit_resolution,[status(thm)],[23321, 5693])).
% 15.86/11.14 tff(23323,plain,
% 15.86/11.14 (~v130(constB165, bitIndex1)),
% 15.86/11.14 inference(unit_resolution,[status(thm)],[23322, 23320])).
% 15.86/11.14 tff(23324,plain,
% 15.86/11.14 ((~(v127(constB165, bitIndex1) <=> v130(constB165, bitIndex1))) | (~v127(constB165, bitIndex1)) | v130(constB165, bitIndex1)),
% 15.86/11.14 inference(tautology,[status(thm)],[])).
% 15.86/11.14 tff(23325,plain,
% 15.86/11.14 (~v127(constB165, bitIndex1)),
% 15.86/11.14 inference(unit_resolution,[status(thm)],[23324, 23323, 23316])).
% 15.86/11.14 tff(23326,plain,
% 15.86/11.14 ((~(v129(constB166, bitIndex1) <=> v127(constB165, bitIndex1))) | (~v129(constB166, bitIndex1)) | v127(constB165, bitIndex1)),
% 15.86/11.14 inference(tautology,[status(thm)],[])).
% 15.86/11.14 tff(23327,plain,
% 15.86/11.14 (~v129(constB166, bitIndex1)),
% 15.86/11.14 inference(unit_resolution,[status(thm)],[23326, 23325, 23312])).
% 15.86/11.14 tff(23328,plain,
% 15.86/11.14 ((~(v90(constB166, bitIndex1) <=> v129(constB166, bitIndex1))) | (~v90(constB166, bitIndex1)) | v129(constB166, bitIndex1)),
% 15.86/11.14 inference(tautology,[status(thm)],[])).
% 15.86/11.14 tff(23329,plain,
% 15.86/11.14 (~v90(constB166, bitIndex1)),
% 15.86/11.14 inference(unit_resolution,[status(thm)],[23328, 23327, 23308])).
% 15.86/11.14 tff(23330,plain,
% 15.86/11.14 ((~(v90(constB167, bitIndex1) <=> v90(constB166, bitIndex1))) | (~v90(constB167, bitIndex1)) | v90(constB166, bitIndex1)),
% 15.86/11.14 inference(tautology,[status(thm)],[])).
% 15.86/11.14 tff(23331,plain,
% 15.86/11.14 (~v90(constB167, bitIndex1)),
% 15.86/11.14 inference(unit_resolution,[status(thm)],[23330, 23329, 23304])).
% 15.86/11.14 tff(23332,plain,
% 15.86/11.14 ((~(v90(constB167, bitIndex2) | v90(constB167, bitIndex1) | (~v90(constB167, bitIndex0)))) | v90(constB167, bitIndex2) | v90(constB167, bitIndex1) | (~v90(constB167, bitIndex0))),
% 15.86/11.14 inference(tautology,[status(thm)],[])).
% 15.86/11.14 tff(23333,plain,
% 15.86/11.14 (~(v90(constB167, bitIndex2) | v90(constB167, bitIndex1) | (~v90(constB167, bitIndex0)))),
% 15.86/11.14 inference(unit_resolution,[status(thm)],[23332, 23331, 23300, 23269])).
% 15.86/11.14 tff(23334,plain,
% 15.86/11.14 ((~(v120(constB167) <=> (~(v90(constB167, bitIndex2) | v90(constB167, bitIndex1) | (~v90(constB167, bitIndex0)))))) | v120(constB167) | (v90(constB167, bitIndex2) | v90(constB167, bitIndex1) | (~v90(constB167, bitIndex0)))),
% 15.86/11.14 inference(tautology,[status(thm)],[])).
% 15.86/11.14 tff(23335,plain,
% 15.86/11.14 (v120(constB167)),
% 15.86/11.14 inference(unit_resolution,[status(thm)],[23334, 23333, 20776])).
% 15.86/11.14 tff(23336,plain,
% 15.86/11.14 ((v119(constB167) | v120(constB167)) | (~v120(constB167))),
% 15.86/11.14 inference(tautology,[status(thm)],[])).
% 15.86/11.14 tff(23337,plain,
% 15.86/11.14 (v119(constB167) | v120(constB167)),
% 15.86/11.14 inference(unit_resolution,[status(thm)],[23336, 23335])).
% 15.86/11.14 tff(23338,plain,
% 15.86/11.14 ((~(v118(constB167) <=> (v119(constB167) | v120(constB167)))) | v118(constB167) | (~(v119(constB167) | v120(constB167)))),
% 15.86/11.14 inference(tautology,[status(thm)],[])).
% 15.86/11.14 tff(23339,plain,
% 15.86/11.14 (v118(constB167)),
% 15.86/11.14 inference(unit_resolution,[status(thm)],[23338, 23337, 20769])).
% 15.86/11.14 tff(23340,plain,
% 15.86/11.14 ((v118(constB167) | v121(constB167)) | (~v118(constB167))),
% 15.86/11.14 inference(tautology,[status(thm)],[])).
% 15.86/11.14 tff(23341,plain,
% 15.86/11.14 (v118(constB167) | v121(constB167)),
% 15.86/11.14 inference(unit_resolution,[status(thm)],[23340, 23339])).
% 15.86/11.14 tff(23342,plain,
% 15.86/11.14 ((~(v117(constB167) <=> (v118(constB167) | v121(constB167)))) | v117(constB167) | (~(v118(constB167) | v121(constB167)))),
% 15.86/11.14 inference(tautology,[status(thm)],[])).
% 15.86/11.14 tff(23343,plain,
% 15.86/11.14 (v117(constB167)),
% 15.86/11.14 inference(unit_resolution,[status(thm)],[23342, 23341, 20767])).
% 15.86/11.14 tff(23344,plain,
% 15.86/11.14 ((v117(constB167) | v122(constB167)) | (~v117(constB167))),
% 15.86/11.14 inference(tautology,[status(thm)],[])).
% 15.86/11.14 tff(23345,plain,
% 15.86/11.14 (v117(constB167) | v122(constB167)),
% 15.86/11.14 inference(unit_resolution,[status(thm)],[23344, 23343])).
% 15.86/11.14 tff(23346,plain,
% 15.86/11.14 ((~(v116(constB167) <=> (v117(constB167) | v122(constB167)))) | v116(constB167) | (~(v117(constB167) | v122(constB167)))),
% 15.86/11.14 inference(tautology,[status(thm)],[])).
% 15.86/11.14 tff(23347,plain,
% 15.86/11.14 (v116(constB167)),
% 15.86/11.14 inference(unit_resolution,[status(thm)],[23346, 23345, 20765])).
% 15.86/11.14 tff(23348,plain,
% 15.86/11.14 ((v116(constB167) | v123(constB167)) | (~v116(constB167))),
% 15.86/11.14 inference(tautology,[status(thm)],[])).
% 15.86/11.14 tff(23349,plain,
% 15.86/11.14 (v116(constB167) | v123(constB167)),
% 15.86/11.14 inference(unit_resolution,[status(thm)],[23348, 23347])).
% 15.86/11.14 tff(23350,plain,
% 15.86/11.14 ((~(v115(constB167) <=> (v116(constB167) | v123(constB167)))) | v115(constB167) | (~(v116(constB167) | v123(constB167)))),
% 15.86/11.14 inference(tautology,[status(thm)],[])).
% 15.86/11.14 tff(23351,plain,
% 15.86/11.14 (v115(constB167)),
% 15.86/11.14 inference(unit_resolution,[status(thm)],[23350, 23349, 20763])).
% 15.86/11.14 tff(23352,plain,
% 15.86/11.14 ((v115(constB167) | v124(constB167)) | (~v115(constB167))),
% 15.86/11.14 inference(tautology,[status(thm)],[])).
% 15.86/11.14 tff(23353,plain,
% 15.86/11.14 (v115(constB167) | v124(constB167)),
% 15.86/11.14 inference(unit_resolution,[status(thm)],[23352, 23351])).
% 15.86/11.14 tff(23354,plain,
% 15.86/11.14 ((~(v114(constB167) <=> (v115(constB167) | v124(constB167)))) | v114(constB167) | (~(v115(constB167) | v124(constB167)))),
% 15.86/11.14 inference(tautology,[status(thm)],[])).
% 15.86/11.14 tff(23355,plain,
% 15.86/11.14 (v114(constB167)),
% 15.86/11.14 inference(unit_resolution,[status(thm)],[23354, 23353, 20761])).
% 15.86/11.14 tff(23356,plain,
% 15.86/11.14 ((v114(constB167) | v125(constB167)) | (~v114(constB167))),
% 15.86/11.14 inference(tautology,[status(thm)],[])).
% 15.86/11.14 tff(23357,plain,
% 15.86/11.14 (v114(constB167) | v125(constB167)),
% 15.86/11.14 inference(unit_resolution,[status(thm)],[23356, 23355])).
% 15.86/11.14 tff(23358,plain,
% 15.86/11.14 ((~(v113(constB167) <=> (v114(constB167) | v125(constB167)))) | v113(constB167) | (~(v114(constB167) | v125(constB167)))),
% 15.86/11.14 inference(tautology,[status(thm)],[])).
% 15.86/11.14 tff(23359,plain,
% 15.86/11.14 (v113(constB167)),
% 15.86/11.14 inference(unit_resolution,[status(thm)],[23358, 23357, 20759])).
% 15.86/11.14 tff(23360,plain,
% 15.86/11.14 ((~![VarCurr: $i] : ((~v126(VarCurr)) <=> v111(VarCurr))) | ((~v126(constB167)) <=> v111(constB167))),
% 15.86/11.14 inference(quant_inst,[status(thm)],[])).
% 15.86/11.14 tff(23361,plain,
% 15.86/11.14 ((~v126(constB167)) <=> v111(constB167)),
% 15.86/11.14 inference(unit_resolution,[status(thm)],[23360, 5074])).
% 15.86/11.14 tff(23362,plain,
% 15.86/11.14 ((~![VarCurr: $i] : (v111(VarCurr) <=> v26(VarCurr))) | (v111(constB167) <=> v26(constB167))),
% 15.86/11.14 inference(quant_inst,[status(thm)],[])).
% 15.86/11.14 tff(23363,plain,
% 15.86/11.14 (v111(constB167) <=> v26(constB167)),
% 15.86/11.14 inference(unit_resolution,[status(thm)],[23362, 5086])).
% 15.86/11.14 tff(23364,plain,
% 15.86/11.14 ((~![VarCurr: $i] : (~v26(VarCurr))) | (~v26(constB167))),
% 15.86/11.14 inference(quant_inst,[status(thm)],[])).
% 15.86/11.14 tff(23365,plain,
% 15.86/11.14 (~v26(constB167)),
% 15.86/11.14 inference(unit_resolution,[status(thm)],[23364, 5098])).
% 15.86/11.14 tff(23366,plain,
% 15.86/11.14 ((~(v111(constB167) <=> v26(constB167))) | (~v111(constB167)) | v26(constB167)),
% 15.86/11.14 inference(tautology,[status(thm)],[])).
% 15.86/11.14 tff(23367,plain,
% 15.86/11.14 ((~(v111(constB167) <=> v26(constB167))) | (~v111(constB167))),
% 15.86/11.14 inference(unit_resolution,[status(thm)],[23366, 23365])).
% 15.86/11.14 tff(23368,plain,
% 15.86/11.14 (~v111(constB167)),
% 15.86/11.14 inference(unit_resolution,[status(thm)],[23367, 23363])).
% 15.86/11.14 tff(23369,plain,
% 15.86/11.14 ((~((~v126(constB167)) <=> v111(constB167))) | v126(constB167) | v111(constB167)),
% 15.86/11.14 inference(tautology,[status(thm)],[])).
% 15.86/11.14 tff(23370,plain,
% 15.86/11.14 ((~((~v126(constB167)) <=> v111(constB167))) | v126(constB167)),
% 15.86/11.15 inference(unit_resolution,[status(thm)],[23369, 23368])).
% 15.86/11.15 tff(23371,plain,
% 15.86/11.15 (v126(constB167)),
% 15.86/11.15 inference(unit_resolution,[status(thm)],[23370, 23361])).
% 15.86/11.15 tff(23372,plain,
% 15.86/11.15 ((~((~v113(constB167)) | (~v126(constB167)))) | (~v113(constB167)) | (~v126(constB167))),
% 15.86/11.15 inference(tautology,[status(thm)],[])).
% 15.86/11.15 tff(23373,plain,
% 15.86/11.15 ((~((~v113(constB167)) | (~v126(constB167)))) | (~v113(constB167))),
% 15.86/11.15 inference(unit_resolution,[status(thm)],[23372, 23371])).
% 15.86/11.15 tff(23374,plain,
% 15.86/11.15 (~((~v113(constB167)) | (~v126(constB167)))),
% 15.86/11.15 inference(unit_resolution,[status(thm)],[23373, 23359])).
% 15.86/11.15 tff(23375,plain,
% 15.86/11.15 ((~(v112(constB167) <=> (~((~v113(constB167)) | (~v126(constB167)))))) | v112(constB167) | ((~v113(constB167)) | (~v126(constB167)))),
% 15.86/11.15 inference(tautology,[status(thm)],[])).
% 15.86/11.15 tff(23376,plain,
% 15.86/11.15 (v112(constB167)),
% 15.86/11.15 inference(unit_resolution,[status(thm)],[23375, 23374, 20757])).
% 15.86/11.15 tff(23377,plain,
% 15.86/11.15 ((v111(constB167) | v112(constB167)) | (~v112(constB167))),
% 15.86/11.15 inference(tautology,[status(thm)],[])).
% 15.86/11.15 tff(23378,plain,
% 15.86/11.15 (v111(constB167) | v112(constB167)),
% 15.86/11.15 inference(unit_resolution,[status(thm)],[23377, 23376])).
% 15.86/11.15 tff(23379,plain,
% 15.86/11.15 ((~(v108(constB167) <=> (v111(constB167) | v112(constB167)))) | v108(constB167) | (~(v111(constB167) | v112(constB167)))),
% 15.86/11.15 inference(tautology,[status(thm)],[])).
% 15.86/11.15 tff(23380,plain,
% 15.86/11.15 (v108(constB167)),
% 15.86/11.15 inference(unit_resolution,[status(thm)],[23379, 23378, 20755])).
% 15.86/11.15 tff(23381,plain,
% 15.86/11.15 ((~(v110(constB168) <=> v108(constB167))) | v110(constB168) | (~v108(constB167))),
% 15.86/11.15 inference(tautology,[status(thm)],[])).
% 15.86/11.15 tff(23382,plain,
% 15.86/11.15 (v110(constB168)),
% 15.86/11.15 inference(unit_resolution,[status(thm)],[23381, 23380, 20753])).
% 15.86/11.15 tff(23383,plain,
% 15.86/11.15 ((~((~v101(constB168)) | (~v110(constB168)))) | (~v101(constB168)) | (~v110(constB168))),
% 15.86/11.15 inference(tautology,[status(thm)],[])).
% 15.86/11.15 tff(23384,plain,
% 15.86/11.15 (~((~v101(constB168)) | (~v110(constB168)))),
% 15.86/11.15 inference(unit_resolution,[status(thm)],[23383, 23382, 20749])).
% 15.86/11.15 tff(23385,plain,
% 15.86/11.15 ((~(v100(constB168) <=> (~((~v101(constB168)) | (~v110(constB168)))))) | v100(constB168) | ((~v101(constB168)) | (~v110(constB168)))),
% 15.86/11.15 inference(tautology,[status(thm)],[])).
% 15.86/11.15 tff(23386,plain,
% 15.86/11.15 (v100(constB168)),
% 15.86/11.15 inference(unit_resolution,[status(thm)],[23385, 23384, 20718])).
% 15.86/11.15 tff(23387,plain,
% 15.86/11.15 (((~![VarNext: $i] : ((~v100(VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v129(VarNext, B))))) | ((~v100(constB168)) | ![B: $i] : ((~less_3(B)) | (v90(constB168, B) <=> v129(constB168, B))))) <=> ((~![VarNext: $i] : ((~v100(VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v129(VarNext, B))))) | (~v100(constB168)) | ![B: $i] : ((~less_3(B)) | (v90(constB168, B) <=> v129(constB168, B))))),
% 15.86/11.15 inference(rewrite,[status(thm)],[])).
% 15.86/11.15 tff(23388,plain,
% 15.86/11.15 ((~![VarNext: $i] : ((~v100(VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v129(VarNext, B))))) | ((~v100(constB168)) | ![B: $i] : ((~less_3(B)) | (v90(constB168, B) <=> v129(constB168, B))))),
% 15.86/11.15 inference(quant_inst,[status(thm)],[])).
% 15.86/11.15 tff(23389,plain,
% 15.86/11.15 ((~![VarNext: $i] : ((~v100(VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v129(VarNext, B))))) | (~v100(constB168)) | ![B: $i] : ((~less_3(B)) | (v90(constB168, B) <=> v129(constB168, B)))),
% 15.86/11.15 inference(modus_ponens,[status(thm)],[23388, 23387])).
% 15.86/11.15 tff(23390,plain,
% 15.86/11.15 ((~v100(constB168)) | ![B: $i] : ((~less_3(B)) | (v90(constB168, B) <=> v129(constB168, B)))),
% 15.86/11.15 inference(unit_resolution,[status(thm)],[23389, 5134])).
% 15.86/11.15 tff(23391,plain,
% 15.86/11.15 (![B: $i] : ((~less_3(B)) | (v90(constB168, B) <=> v129(constB168, B)))),
% 15.86/11.15 inference(unit_resolution,[status(thm)],[23390, 23386])).
% 15.86/11.15 tff(23392,plain,
% 15.86/11.15 (((~![B: $i] : ((~less_3(B)) | (v90(constB168, B) <=> v129(constB168, B)))) | ((~less_3(bitIndex2)) | (v90(constB168, bitIndex2) <=> v129(constB168, bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v90(constB168, B) <=> v129(constB168, B)))) | (~less_3(bitIndex2)) | (v90(constB168, bitIndex2) <=> v129(constB168, bitIndex2)))),
% 15.86/11.15 inference(rewrite,[status(thm)],[])).
% 15.86/11.15 tff(23393,plain,
% 15.86/11.15 ((~![B: $i] : ((~less_3(B)) | (v90(constB168, B) <=> v129(constB168, B)))) | ((~less_3(bitIndex2)) | (v90(constB168, bitIndex2) <=> v129(constB168, bitIndex2)))),
% 15.86/11.15 inference(quant_inst,[status(thm)],[])).
% 15.86/11.15 tff(23394,plain,
% 15.86/11.15 ((~![B: $i] : ((~less_3(B)) | (v90(constB168, B) <=> v129(constB168, B)))) | (~less_3(bitIndex2)) | (v90(constB168, bitIndex2) <=> v129(constB168, bitIndex2))),
% 15.86/11.15 inference(modus_ponens,[status(thm)],[23393, 23392])).
% 15.86/11.15 tff(23395,plain,
% 15.86/11.15 (v90(constB168, bitIndex2) <=> v129(constB168, bitIndex2)),
% 15.86/11.15 inference(unit_resolution,[status(thm)],[23394, 413, 23391])).
% 15.86/11.15 tff(23396,plain,
% 15.86/11.15 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v129(VarNext, B) <=> v127(VarCurr, B))))) | ((~nextState(constB167, constB168)) | ![B: $i] : ((~less_3(B)) | (v129(constB168, B) <=> v127(constB167, B))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v129(VarNext, B) <=> v127(VarCurr, B))))) | (~nextState(constB167, constB168)) | ![B: $i] : ((~less_3(B)) | (v129(constB168, B) <=> v127(constB167, B))))),
% 15.86/11.15 inference(rewrite,[status(thm)],[])).
% 15.86/11.15 tff(23397,plain,
% 15.86/11.15 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v129(VarNext, B) <=> v127(VarCurr, B))))) | ((~nextState(constB167, constB168)) | ![B: $i] : ((~less_3(B)) | (v129(constB168, B) <=> v127(constB167, B))))),
% 15.86/11.15 inference(quant_inst,[status(thm)],[])).
% 15.86/11.15 tff(23398,plain,
% 15.86/11.15 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v129(VarNext, B) <=> v127(VarCurr, B))))) | (~nextState(constB167, constB168)) | ![B: $i] : ((~less_3(B)) | (v129(constB168, B) <=> v127(constB167, B)))),
% 15.86/11.15 inference(modus_ponens,[status(thm)],[23397, 23396])).
% 15.86/11.15 tff(23399,plain,
% 15.86/11.15 (![B: $i] : ((~less_3(B)) | (v129(constB168, B) <=> v127(constB167, B)))),
% 15.86/11.15 inference(unit_resolution,[status(thm)],[23398, 20714, 5156])).
% 15.86/11.15 tff(23400,plain,
% 15.86/11.15 (((~![B: $i] : ((~less_3(B)) | (v129(constB168, B) <=> v127(constB167, B)))) | ((~less_3(bitIndex2)) | (v129(constB168, bitIndex2) <=> v127(constB167, bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v129(constB168, B) <=> v127(constB167, B)))) | (~less_3(bitIndex2)) | (v129(constB168, bitIndex2) <=> v127(constB167, bitIndex2)))),
% 15.86/11.15 inference(rewrite,[status(thm)],[])).
% 15.86/11.15 tff(23401,plain,
% 15.86/11.15 ((~![B: $i] : ((~less_3(B)) | (v129(constB168, B) <=> v127(constB167, B)))) | ((~less_3(bitIndex2)) | (v129(constB168, bitIndex2) <=> v127(constB167, bitIndex2)))),
% 15.86/11.15 inference(quant_inst,[status(thm)],[])).
% 15.86/11.15 tff(23402,plain,
% 15.86/11.15 ((~![B: $i] : ((~less_3(B)) | (v129(constB168, B) <=> v127(constB167, B)))) | (~less_3(bitIndex2)) | (v129(constB168, bitIndex2) <=> v127(constB167, bitIndex2))),
% 15.86/11.15 inference(modus_ponens,[status(thm)],[23401, 23400])).
% 15.86/11.15 tff(23403,plain,
% 15.86/11.15 (v129(constB168, bitIndex2) <=> v127(constB167, bitIndex2)),
% 15.86/11.15 inference(unit_resolution,[status(thm)],[23402, 413, 23399])).
% 15.86/11.15 tff(23404,plain,
% 15.86/11.15 (((~![VarCurr: $i] : (v111(VarCurr) | ![B: $i] : ((~less_3(B)) | (v127(VarCurr, B) <=> v130(VarCurr, B))))) | (v111(constB167) | ![B: $i] : ((~less_3(B)) | (v127(constB167, B) <=> v130(constB167, B))))) <=> ((~![VarCurr: $i] : (v111(VarCurr) | ![B: $i] : ((~less_3(B)) | (v127(VarCurr, B) <=> v130(VarCurr, B))))) | v111(constB167) | ![B: $i] : ((~less_3(B)) | (v127(constB167, B) <=> v130(constB167, B))))),
% 15.86/11.15 inference(rewrite,[status(thm)],[])).
% 15.86/11.15 tff(23405,plain,
% 15.86/11.15 ((~![VarCurr: $i] : (v111(VarCurr) | ![B: $i] : ((~less_3(B)) | (v127(VarCurr, B) <=> v130(VarCurr, B))))) | (v111(constB167) | ![B: $i] : ((~less_3(B)) | (v127(constB167, B) <=> v130(constB167, B))))),
% 15.86/11.15 inference(quant_inst,[status(thm)],[])).
% 15.86/11.15 tff(23406,plain,
% 15.86/11.15 ((~![VarCurr: $i] : (v111(VarCurr) | ![B: $i] : ((~less_3(B)) | (v127(VarCurr, B) <=> v130(VarCurr, B))))) | v111(constB167) | ![B: $i] : ((~less_3(B)) | (v127(constB167, B) <=> v130(constB167, B)))),
% 15.86/11.15 inference(modus_ponens,[status(thm)],[23405, 23404])).
% 15.86/11.15 tff(23407,plain,
% 15.86/11.15 (![B: $i] : ((~less_3(B)) | (v127(constB167, B) <=> v130(constB167, B)))),
% 15.86/11.15 inference(unit_resolution,[status(thm)],[23406, 5177, 23368])).
% 15.86/11.15 tff(23408,plain,
% 15.86/11.15 (((~![B: $i] : ((~less_3(B)) | (v127(constB167, B) <=> v130(constB167, B)))) | ((~less_3(bitIndex2)) | (v127(constB167, bitIndex2) <=> v130(constB167, bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v127(constB167, B) <=> v130(constB167, B)))) | (~less_3(bitIndex2)) | (v127(constB167, bitIndex2) <=> v130(constB167, bitIndex2)))),
% 15.86/11.15 inference(rewrite,[status(thm)],[])).
% 15.86/11.15 tff(23409,plain,
% 15.86/11.15 ((~![B: $i] : ((~less_3(B)) | (v127(constB167, B) <=> v130(constB167, B)))) | ((~less_3(bitIndex2)) | (v127(constB167, bitIndex2) <=> v130(constB167, bitIndex2)))),
% 15.86/11.15 inference(quant_inst,[status(thm)],[])).
% 15.86/11.15 tff(23410,plain,
% 15.86/11.15 ((~![B: $i] : ((~less_3(B)) | (v127(constB167, B) <=> v130(constB167, B)))) | (~less_3(bitIndex2)) | (v127(constB167, bitIndex2) <=> v130(constB167, bitIndex2))),
% 15.86/11.15 inference(modus_ponens,[status(thm)],[23409, 23408])).
% 15.86/11.15 tff(23411,plain,
% 15.86/11.15 (v127(constB167, bitIndex2) <=> v130(constB167, bitIndex2)),
% 15.86/11.15 inference(unit_resolution,[status(thm)],[23410, 413, 23407])).
% 15.86/11.15 tff(23412,plain,
% 15.86/11.15 (((~![VarCurr: $i] : ((~v120(VarCurr)) | ![B: $i] : ((~less_3(B)) | (v130(VarCurr, B) <=> b010(B))))) | ((~v120(constB167)) | ![B: $i] : ((~less_3(B)) | (v130(constB167, B) <=> b010(B))))) <=> ((~![VarCurr: $i] : ((~v120(VarCurr)) | ![B: $i] : ((~less_3(B)) | (v130(VarCurr, B) <=> b010(B))))) | (~v120(constB167)) | ![B: $i] : ((~less_3(B)) | (v130(constB167, B) <=> b010(B))))),
% 15.86/11.15 inference(rewrite,[status(thm)],[])).
% 15.86/11.15 tff(23413,plain,
% 15.86/11.15 ((~![VarCurr: $i] : ((~v120(VarCurr)) | ![B: $i] : ((~less_3(B)) | (v130(VarCurr, B) <=> b010(B))))) | ((~v120(constB167)) | ![B: $i] : ((~less_3(B)) | (v130(constB167, B) <=> b010(B))))),
% 15.86/11.15 inference(quant_inst,[status(thm)],[])).
% 15.86/11.15 tff(23414,plain,
% 15.86/11.15 ((~![VarCurr: $i] : ((~v120(VarCurr)) | ![B: $i] : ((~less_3(B)) | (v130(VarCurr, B) <=> b010(B))))) | (~v120(constB167)) | ![B: $i] : ((~less_3(B)) | (v130(constB167, B) <=> b010(B)))),
% 15.86/11.15 inference(modus_ponens,[status(thm)],[23413, 23412])).
% 15.86/11.15 tff(23415,plain,
% 15.86/11.15 ((~v120(constB167)) | ![B: $i] : ((~less_3(B)) | (v130(constB167, B) <=> b010(B)))),
% 15.86/11.15 inference(unit_resolution,[status(thm)],[23414, 5797])).
% 15.86/11.15 tff(23416,plain,
% 15.86/11.15 (![B: $i] : ((~less_3(B)) | (v130(constB167, B) <=> b010(B)))),
% 15.86/11.15 inference(unit_resolution,[status(thm)],[23415, 23335])).
% 15.86/11.15 tff(23417,plain,
% 15.86/11.15 (((~![B: $i] : ((~less_3(B)) | (v130(constB167, B) <=> b010(B)))) | ((~less_3(bitIndex2)) | (v130(constB167, bitIndex2) <=> b010(bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v130(constB167, B) <=> b010(B)))) | (~less_3(bitIndex2)) | (v130(constB167, bitIndex2) <=> b010(bitIndex2)))),
% 15.86/11.15 inference(rewrite,[status(thm)],[])).
% 15.86/11.15 tff(23418,plain,
% 15.86/11.15 ((~![B: $i] : ((~less_3(B)) | (v130(constB167, B) <=> b010(B)))) | ((~less_3(bitIndex2)) | (v130(constB167, bitIndex2) <=> b010(bitIndex2)))),
% 15.86/11.15 inference(quant_inst,[status(thm)],[])).
% 15.86/11.15 tff(23419,plain,
% 15.86/11.15 ((~![B: $i] : ((~less_3(B)) | (v130(constB167, B) <=> b010(B)))) | (~less_3(bitIndex2)) | (v130(constB167, bitIndex2) <=> b010(bitIndex2))),
% 15.86/11.15 inference(modus_ponens,[status(thm)],[23418, 23417])).
% 15.86/11.15 tff(23420,plain,
% 15.86/11.15 (v130(constB167, bitIndex2) <=> b010(bitIndex2)),
% 15.86/11.15 inference(unit_resolution,[status(thm)],[23419, 413, 23416])).
% 15.86/11.15 tff(23421,plain,
% 15.86/11.15 ((~(v130(constB167, bitIndex2) <=> b010(bitIndex2))) | (~v130(constB167, bitIndex2)) | b010(bitIndex2)),
% 15.86/11.15 inference(tautology,[status(thm)],[])).
% 15.86/11.15 tff(23422,plain,
% 15.86/11.15 ((~(v130(constB167, bitIndex2) <=> b010(bitIndex2))) | (~v130(constB167, bitIndex2))),
% 15.86/11.15 inference(unit_resolution,[status(thm)],[23421, 5809])).
% 15.86/11.15 tff(23423,plain,
% 15.86/11.15 (~v130(constB167, bitIndex2)),
% 15.86/11.15 inference(unit_resolution,[status(thm)],[23422, 23420])).
% 15.86/11.15 tff(23424,plain,
% 15.86/11.15 ((~(v127(constB167, bitIndex2) <=> v130(constB167, bitIndex2))) | (~v127(constB167, bitIndex2)) | v130(constB167, bitIndex2)),
% 15.86/11.15 inference(tautology,[status(thm)],[])).
% 15.86/11.15 tff(23425,plain,
% 15.86/11.15 (~v127(constB167, bitIndex2)),
% 15.86/11.15 inference(unit_resolution,[status(thm)],[23424, 23423, 23411])).
% 15.86/11.15 tff(23426,plain,
% 15.86/11.15 ((~(v129(constB168, bitIndex2) <=> v127(constB167, bitIndex2))) | (~v129(constB168, bitIndex2)) | v127(constB167, bitIndex2)),
% 15.86/11.15 inference(tautology,[status(thm)],[])).
% 15.86/11.15 tff(23427,plain,
% 15.86/11.15 (~v129(constB168, bitIndex2)),
% 15.86/11.15 inference(unit_resolution,[status(thm)],[23426, 23425, 23403])).
% 15.86/11.15 tff(23428,plain,
% 15.86/11.15 ((~(v90(constB168, bitIndex2) <=> v129(constB168, bitIndex2))) | (~v90(constB168, bitIndex2)) | v129(constB168, bitIndex2)),
% 15.86/11.15 inference(tautology,[status(thm)],[])).
% 15.86/11.15 tff(23429,plain,
% 15.86/11.15 (~v90(constB168, bitIndex2)),
% 15.86/11.15 inference(unit_resolution,[status(thm)],[23428, 23427, 23395])).
% 15.86/11.15 tff(23430,plain,
% 15.86/11.15 ((~(v90(constB169, bitIndex2) <=> v90(constB168, bitIndex2))) | (~v90(constB169, bitIndex2)) | v90(constB168, bitIndex2)),
% 15.86/11.15 inference(tautology,[status(thm)],[])).
% 15.86/11.15 tff(23431,plain,
% 15.86/11.15 (~v90(constB169, bitIndex2)),
% 15.86/11.15 inference(unit_resolution,[status(thm)],[23430, 23429, 20711])).
% 15.86/11.15 tff(23432,plain,
% 15.86/11.15 ((~(v88(constB169, bitIndex2) <=> v90(constB169, bitIndex2))) | (~v88(constB169, bitIndex2)) | v90(constB169, bitIndex2)),
% 15.86/11.16 inference(tautology,[status(thm)],[])).
% 15.86/11.16 tff(23433,plain,
% 15.86/11.16 (~v88(constB169, bitIndex2)),
% 15.86/11.16 inference(unit_resolution,[status(thm)],[23432, 23431, 20676])).
% 15.86/11.16 tff(23434,plain,
% 15.86/11.16 (((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | ((~less_3(bitIndex0)) | (v88(constB169, bitIndex0) <=> v90(constB169, bitIndex0)))) <=> ((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | (~less_3(bitIndex0)) | (v88(constB169, bitIndex0) <=> v90(constB169, bitIndex0)))),
% 15.86/11.16 inference(rewrite,[status(thm)],[])).
% 15.86/11.16 tff(23435,plain,
% 15.86/11.16 ((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | ((~less_3(bitIndex0)) | (v88(constB169, bitIndex0) <=> v90(constB169, bitIndex0)))),
% 15.86/11.16 inference(quant_inst,[status(thm)],[])).
% 15.86/11.16 tff(23436,plain,
% 15.86/11.16 ((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | (~less_3(bitIndex0)) | (v88(constB169, bitIndex0) <=> v90(constB169, bitIndex0))),
% 15.86/11.16 inference(modus_ponens,[status(thm)],[23435, 23434])).
% 15.86/11.16 tff(23437,plain,
% 15.86/11.16 (v88(constB169, bitIndex0) <=> v90(constB169, bitIndex0)),
% 15.86/11.16 inference(unit_resolution,[status(thm)],[23436, 5004, 410])).
% 15.86/11.16 tff(23438,plain,
% 15.86/11.16 (((~![B: $i] : ((~less_3(B)) | (v90(constB169, B) <=> v90(constB168, B)))) | ((~less_3(bitIndex0)) | (v90(constB169, bitIndex0) <=> v90(constB168, bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v90(constB169, B) <=> v90(constB168, B)))) | (~less_3(bitIndex0)) | (v90(constB169, bitIndex0) <=> v90(constB168, bitIndex0)))),
% 15.86/11.16 inference(rewrite,[status(thm)],[])).
% 15.86/11.16 tff(23439,plain,
% 15.86/11.16 ((~![B: $i] : ((~less_3(B)) | (v90(constB169, B) <=> v90(constB168, B)))) | ((~less_3(bitIndex0)) | (v90(constB169, bitIndex0) <=> v90(constB168, bitIndex0)))),
% 15.86/11.16 inference(quant_inst,[status(thm)],[])).
% 15.86/11.16 tff(23440,plain,
% 15.86/11.16 ((~![B: $i] : ((~less_3(B)) | (v90(constB169, B) <=> v90(constB168, B)))) | (~less_3(bitIndex0)) | (v90(constB169, bitIndex0) <=> v90(constB168, bitIndex0))),
% 15.86/11.16 inference(modus_ponens,[status(thm)],[23439, 23438])).
% 15.86/11.16 tff(23441,plain,
% 15.86/11.16 (v90(constB169, bitIndex0) <=> v90(constB168, bitIndex0)),
% 15.86/11.16 inference(unit_resolution,[status(thm)],[23440, 5004, 20707])).
% 15.86/11.16 tff(23442,plain,
% 15.86/11.16 (((~![B: $i] : ((~less_3(B)) | (v90(constB168, B) <=> v129(constB168, B)))) | ((~less_3(bitIndex0)) | (v90(constB168, bitIndex0) <=> v129(constB168, bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v90(constB168, B) <=> v129(constB168, B)))) | (~less_3(bitIndex0)) | (v90(constB168, bitIndex0) <=> v129(constB168, bitIndex0)))),
% 15.86/11.16 inference(rewrite,[status(thm)],[])).
% 15.86/11.16 tff(23443,plain,
% 15.86/11.16 ((~![B: $i] : ((~less_3(B)) | (v90(constB168, B) <=> v129(constB168, B)))) | ((~less_3(bitIndex0)) | (v90(constB168, bitIndex0) <=> v129(constB168, bitIndex0)))),
% 15.86/11.16 inference(quant_inst,[status(thm)],[])).
% 15.86/11.16 tff(23444,plain,
% 15.86/11.16 ((~![B: $i] : ((~less_3(B)) | (v90(constB168, B) <=> v129(constB168, B)))) | (~less_3(bitIndex0)) | (v90(constB168, bitIndex0) <=> v129(constB168, bitIndex0))),
% 15.86/11.16 inference(modus_ponens,[status(thm)],[23443, 23442])).
% 15.86/11.16 tff(23445,plain,
% 15.86/11.16 (v90(constB168, bitIndex0) <=> v129(constB168, bitIndex0)),
% 15.86/11.16 inference(unit_resolution,[status(thm)],[23444, 5004, 23391])).
% 15.86/11.16 tff(23446,plain,
% 15.86/11.16 (((~![B: $i] : ((~less_3(B)) | (v129(constB168, B) <=> v127(constB167, B)))) | ((~less_3(bitIndex0)) | (v129(constB168, bitIndex0) <=> v127(constB167, bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v129(constB168, B) <=> v127(constB167, B)))) | (~less_3(bitIndex0)) | (v129(constB168, bitIndex0) <=> v127(constB167, bitIndex0)))),
% 15.86/11.16 inference(rewrite,[status(thm)],[])).
% 15.86/11.16 tff(23447,plain,
% 15.86/11.16 ((~![B: $i] : ((~less_3(B)) | (v129(constB168, B) <=> v127(constB167, B)))) | ((~less_3(bitIndex0)) | (v129(constB168, bitIndex0) <=> v127(constB167, bitIndex0)))),
% 15.86/11.16 inference(quant_inst,[status(thm)],[])).
% 15.86/11.16 tff(23448,plain,
% 15.86/11.16 ((~![B: $i] : ((~less_3(B)) | (v129(constB168, B) <=> v127(constB167, B)))) | (~less_3(bitIndex0)) | (v129(constB168, bitIndex0) <=> v127(constB167, bitIndex0))),
% 15.86/11.16 inference(modus_ponens,[status(thm)],[23447, 23446])).
% 15.86/11.16 tff(23449,plain,
% 15.86/11.16 (v129(constB168, bitIndex0) <=> v127(constB167, bitIndex0)),
% 15.86/11.16 inference(unit_resolution,[status(thm)],[23448, 5004, 23399])).
% 15.86/11.16 tff(23450,plain,
% 15.86/11.16 (((~![B: $i] : ((~less_3(B)) | (v127(constB167, B) <=> v130(constB167, B)))) | ((~less_3(bitIndex0)) | (v127(constB167, bitIndex0) <=> v130(constB167, bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v127(constB167, B) <=> v130(constB167, B)))) | (~less_3(bitIndex0)) | (v127(constB167, bitIndex0) <=> v130(constB167, bitIndex0)))),
% 15.86/11.16 inference(rewrite,[status(thm)],[])).
% 15.86/11.16 tff(23451,plain,
% 15.86/11.16 ((~![B: $i] : ((~less_3(B)) | (v127(constB167, B) <=> v130(constB167, B)))) | ((~less_3(bitIndex0)) | (v127(constB167, bitIndex0) <=> v130(constB167, bitIndex0)))),
% 15.86/11.16 inference(quant_inst,[status(thm)],[])).
% 15.86/11.16 tff(23452,plain,
% 15.86/11.16 ((~![B: $i] : ((~less_3(B)) | (v127(constB167, B) <=> v130(constB167, B)))) | (~less_3(bitIndex0)) | (v127(constB167, bitIndex0) <=> v130(constB167, bitIndex0))),
% 15.86/11.16 inference(modus_ponens,[status(thm)],[23451, 23450])).
% 15.86/11.16 tff(23453,plain,
% 15.86/11.16 (v127(constB167, bitIndex0) <=> v130(constB167, bitIndex0)),
% 15.86/11.16 inference(unit_resolution,[status(thm)],[23452, 5004, 23407])).
% 15.86/11.16 tff(23454,plain,
% 15.86/11.16 (((~![B: $i] : ((~less_3(B)) | (v130(constB167, B) <=> b010(B)))) | ((~less_3(bitIndex0)) | (v130(constB167, bitIndex0) <=> b010(bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v130(constB167, B) <=> b010(B)))) | (~less_3(bitIndex0)) | (v130(constB167, bitIndex0) <=> b010(bitIndex0)))),
% 15.86/11.16 inference(rewrite,[status(thm)],[])).
% 15.86/11.16 tff(23455,plain,
% 15.86/11.16 ((~![B: $i] : ((~less_3(B)) | (v130(constB167, B) <=> b010(B)))) | ((~less_3(bitIndex0)) | (v130(constB167, bitIndex0) <=> b010(bitIndex0)))),
% 15.86/11.16 inference(quant_inst,[status(thm)],[])).
% 15.86/11.16 tff(23456,plain,
% 15.86/11.16 ((~![B: $i] : ((~less_3(B)) | (v130(constB167, B) <=> b010(B)))) | (~less_3(bitIndex0)) | (v130(constB167, bitIndex0) <=> b010(bitIndex0))),
% 15.86/11.16 inference(modus_ponens,[status(thm)],[23455, 23454])).
% 15.86/11.16 tff(23457,plain,
% 15.86/11.16 (v130(constB167, bitIndex0) <=> b010(bitIndex0)),
% 15.86/11.16 inference(unit_resolution,[status(thm)],[23456, 5004, 23416])).
% 15.86/11.16 tff(23458,plain,
% 15.86/11.16 ((~(v130(constB167, bitIndex0) <=> b010(bitIndex0))) | (~v130(constB167, bitIndex0)) | b010(bitIndex0)),
% 15.86/11.16 inference(tautology,[status(thm)],[])).
% 15.86/11.16 tff(23459,plain,
% 15.86/11.16 ((~(v130(constB167, bitIndex0) <=> b010(bitIndex0))) | (~v130(constB167, bitIndex0))),
% 15.86/11.16 inference(unit_resolution,[status(thm)],[23458, 5843])).
% 15.86/11.16 tff(23460,plain,
% 15.86/11.16 (~v130(constB167, bitIndex0)),
% 15.86/11.16 inference(unit_resolution,[status(thm)],[23459, 23457])).
% 15.86/11.16 tff(23461,plain,
% 15.86/11.16 ((~(v127(constB167, bitIndex0) <=> v130(constB167, bitIndex0))) | (~v127(constB167, bitIndex0)) | v130(constB167, bitIndex0)),
% 15.86/11.16 inference(tautology,[status(thm)],[])).
% 15.86/11.16 tff(23462,plain,
% 15.86/11.16 (~v127(constB167, bitIndex0)),
% 15.86/11.16 inference(unit_resolution,[status(thm)],[23461, 23460, 23453])).
% 15.86/11.16 tff(23463,plain,
% 15.86/11.16 ((~(v129(constB168, bitIndex0) <=> v127(constB167, bitIndex0))) | (~v129(constB168, bitIndex0)) | v127(constB167, bitIndex0)),
% 15.86/11.16 inference(tautology,[status(thm)],[])).
% 15.86/11.16 tff(23464,plain,
% 15.86/11.16 (~v129(constB168, bitIndex0)),
% 15.86/11.16 inference(unit_resolution,[status(thm)],[23463, 23462, 23449])).
% 15.86/11.16 tff(23465,plain,
% 15.86/11.16 ((~(v90(constB168, bitIndex0) <=> v129(constB168, bitIndex0))) | (~v90(constB168, bitIndex0)) | v129(constB168, bitIndex0)),
% 15.86/11.16 inference(tautology,[status(thm)],[])).
% 15.86/11.16 tff(23466,plain,
% 15.86/11.16 (~v90(constB168, bitIndex0)),
% 15.86/11.16 inference(unit_resolution,[status(thm)],[23465, 23464, 23445])).
% 15.86/11.16 tff(23467,plain,
% 15.86/11.16 ((~(v90(constB169, bitIndex0) <=> v90(constB168, bitIndex0))) | (~v90(constB169, bitIndex0)) | v90(constB168, bitIndex0)),
% 15.86/11.16 inference(tautology,[status(thm)],[])).
% 15.86/11.16 tff(23468,plain,
% 15.86/11.16 (~v90(constB169, bitIndex0)),
% 15.86/11.16 inference(unit_resolution,[status(thm)],[23467, 23466, 23441])).
% 15.86/11.16 tff(23469,plain,
% 15.86/11.16 ((~(v88(constB169, bitIndex0) <=> v90(constB169, bitIndex0))) | (~v88(constB169, bitIndex0)) | v90(constB169, bitIndex0)),
% 15.86/11.16 inference(tautology,[status(thm)],[])).
% 15.86/11.16 tff(23470,plain,
% 15.86/11.16 (~v88(constB169, bitIndex0)),
% 15.86/11.16 inference(unit_resolution,[status(thm)],[23469, 23468, 23437])).
% 15.86/11.16 tff(23471,plain,
% 15.86/11.16 (((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | ((~less_3(bitIndex1)) | (v88(constB169, bitIndex1) <=> v90(constB169, bitIndex1)))) <=> ((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | (~less_3(bitIndex1)) | (v88(constB169, bitIndex1) <=> v90(constB169, bitIndex1)))),
% 15.86/11.16 inference(rewrite,[status(thm)],[])).
% 15.86/11.16 tff(23472,plain,
% 15.86/11.16 ((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | ((~less_3(bitIndex1)) | (v88(constB169, bitIndex1) <=> v90(constB169, bitIndex1)))),
% 15.86/11.16 inference(quant_inst,[status(thm)],[])).
% 15.86/11.16 tff(23473,plain,
% 15.86/11.16 ((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | (~less_3(bitIndex1)) | (v88(constB169, bitIndex1) <=> v90(constB169, bitIndex1))),
% 15.86/11.16 inference(modus_ponens,[status(thm)],[23472, 23471])).
% 15.86/11.16 tff(23474,plain,
% 15.86/11.16 (v88(constB169, bitIndex1) <=> v90(constB169, bitIndex1)),
% 15.86/11.16 inference(unit_resolution,[status(thm)],[23473, 5017, 410])).
% 15.86/11.16 tff(23475,plain,
% 15.86/11.16 (((~![B: $i] : ((~less_3(B)) | (v90(constB169, B) <=> v90(constB168, B)))) | ((~less_3(bitIndex1)) | (v90(constB169, bitIndex1) <=> v90(constB168, bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v90(constB169, B) <=> v90(constB168, B)))) | (~less_3(bitIndex1)) | (v90(constB169, bitIndex1) <=> v90(constB168, bitIndex1)))),
% 15.86/11.16 inference(rewrite,[status(thm)],[])).
% 15.86/11.16 tff(23476,plain,
% 15.86/11.16 ((~![B: $i] : ((~less_3(B)) | (v90(constB169, B) <=> v90(constB168, B)))) | ((~less_3(bitIndex1)) | (v90(constB169, bitIndex1) <=> v90(constB168, bitIndex1)))),
% 15.86/11.16 inference(quant_inst,[status(thm)],[])).
% 15.86/11.16 tff(23477,plain,
% 15.86/11.16 ((~![B: $i] : ((~less_3(B)) | (v90(constB169, B) <=> v90(constB168, B)))) | (~less_3(bitIndex1)) | (v90(constB169, bitIndex1) <=> v90(constB168, bitIndex1))),
% 15.86/11.16 inference(modus_ponens,[status(thm)],[23476, 23475])).
% 15.86/11.16 tff(23478,plain,
% 15.86/11.16 (v90(constB169, bitIndex1) <=> v90(constB168, bitIndex1)),
% 15.86/11.16 inference(unit_resolution,[status(thm)],[23477, 5017, 20707])).
% 15.86/11.16 tff(23479,plain,
% 15.86/11.16 (((~![B: $i] : ((~less_3(B)) | (v90(constB168, B) <=> v129(constB168, B)))) | ((~less_3(bitIndex1)) | (v90(constB168, bitIndex1) <=> v129(constB168, bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v90(constB168, B) <=> v129(constB168, B)))) | (~less_3(bitIndex1)) | (v90(constB168, bitIndex1) <=> v129(constB168, bitIndex1)))),
% 15.86/11.16 inference(rewrite,[status(thm)],[])).
% 15.86/11.16 tff(23480,plain,
% 15.86/11.16 ((~![B: $i] : ((~less_3(B)) | (v90(constB168, B) <=> v129(constB168, B)))) | ((~less_3(bitIndex1)) | (v90(constB168, bitIndex1) <=> v129(constB168, bitIndex1)))),
% 15.86/11.16 inference(quant_inst,[status(thm)],[])).
% 15.86/11.16 tff(23481,plain,
% 15.86/11.16 ((~![B: $i] : ((~less_3(B)) | (v90(constB168, B) <=> v129(constB168, B)))) | (~less_3(bitIndex1)) | (v90(constB168, bitIndex1) <=> v129(constB168, bitIndex1))),
% 15.86/11.16 inference(modus_ponens,[status(thm)],[23480, 23479])).
% 15.86/11.16 tff(23482,plain,
% 15.86/11.16 (v90(constB168, bitIndex1) <=> v129(constB168, bitIndex1)),
% 15.86/11.16 inference(unit_resolution,[status(thm)],[23481, 5017, 23391])).
% 15.86/11.16 tff(23483,plain,
% 15.96/11.16 (((~![B: $i] : ((~less_3(B)) | (v129(constB168, B) <=> v127(constB167, B)))) | ((~less_3(bitIndex1)) | (v129(constB168, bitIndex1) <=> v127(constB167, bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v129(constB168, B) <=> v127(constB167, B)))) | (~less_3(bitIndex1)) | (v129(constB168, bitIndex1) <=> v127(constB167, bitIndex1)))),
% 15.96/11.16 inference(rewrite,[status(thm)],[])).
% 15.96/11.16 tff(23484,plain,
% 15.96/11.16 ((~![B: $i] : ((~less_3(B)) | (v129(constB168, B) <=> v127(constB167, B)))) | ((~less_3(bitIndex1)) | (v129(constB168, bitIndex1) <=> v127(constB167, bitIndex1)))),
% 15.96/11.16 inference(quant_inst,[status(thm)],[])).
% 15.96/11.16 tff(23485,plain,
% 15.96/11.16 ((~![B: $i] : ((~less_3(B)) | (v129(constB168, B) <=> v127(constB167, B)))) | (~less_3(bitIndex1)) | (v129(constB168, bitIndex1) <=> v127(constB167, bitIndex1))),
% 15.96/11.16 inference(modus_ponens,[status(thm)],[23484, 23483])).
% 15.96/11.16 tff(23486,plain,
% 15.96/11.16 (v129(constB168, bitIndex1) <=> v127(constB167, bitIndex1)),
% 15.96/11.16 inference(unit_resolution,[status(thm)],[23485, 5017, 23399])).
% 15.96/11.16 tff(23487,plain,
% 15.96/11.16 (((~![B: $i] : ((~less_3(B)) | (v127(constB167, B) <=> v130(constB167, B)))) | ((~less_3(bitIndex1)) | (v127(constB167, bitIndex1) <=> v130(constB167, bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v127(constB167, B) <=> v130(constB167, B)))) | (~less_3(bitIndex1)) | (v127(constB167, bitIndex1) <=> v130(constB167, bitIndex1)))),
% 15.96/11.16 inference(rewrite,[status(thm)],[])).
% 15.96/11.16 tff(23488,plain,
% 15.96/11.16 ((~![B: $i] : ((~less_3(B)) | (v127(constB167, B) <=> v130(constB167, B)))) | ((~less_3(bitIndex1)) | (v127(constB167, bitIndex1) <=> v130(constB167, bitIndex1)))),
% 15.96/11.16 inference(quant_inst,[status(thm)],[])).
% 15.96/11.16 tff(23489,plain,
% 15.96/11.16 ((~![B: $i] : ((~less_3(B)) | (v127(constB167, B) <=> v130(constB167, B)))) | (~less_3(bitIndex1)) | (v127(constB167, bitIndex1) <=> v130(constB167, bitIndex1))),
% 15.96/11.16 inference(modus_ponens,[status(thm)],[23488, 23487])).
% 15.96/11.16 tff(23490,plain,
% 15.96/11.16 (v127(constB167, bitIndex1) <=> v130(constB167, bitIndex1)),
% 15.96/11.16 inference(unit_resolution,[status(thm)],[23489, 5017, 23407])).
% 15.96/11.16 tff(23491,plain,
% 15.96/11.16 (((~![B: $i] : ((~less_3(B)) | (v130(constB167, B) <=> b010(B)))) | ((~less_3(bitIndex1)) | (v130(constB167, bitIndex1) <=> b010(bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v130(constB167, B) <=> b010(B)))) | (~less_3(bitIndex1)) | (v130(constB167, bitIndex1) <=> b010(bitIndex1)))),
% 15.96/11.16 inference(rewrite,[status(thm)],[])).
% 15.96/11.16 tff(23492,plain,
% 15.96/11.16 ((~![B: $i] : ((~less_3(B)) | (v130(constB167, B) <=> b010(B)))) | ((~less_3(bitIndex1)) | (v130(constB167, bitIndex1) <=> b010(bitIndex1)))),
% 15.96/11.16 inference(quant_inst,[status(thm)],[])).
% 15.96/11.16 tff(23493,plain,
% 15.96/11.16 ((~![B: $i] : ((~less_3(B)) | (v130(constB167, B) <=> b010(B)))) | (~less_3(bitIndex1)) | (v130(constB167, bitIndex1) <=> b010(bitIndex1))),
% 15.96/11.16 inference(modus_ponens,[status(thm)],[23492, 23491])).
% 15.96/11.16 tff(23494,plain,
% 15.96/11.16 (v130(constB167, bitIndex1) <=> b010(bitIndex1)),
% 15.96/11.16 inference(unit_resolution,[status(thm)],[23493, 5017, 23416])).
% 15.96/11.16 tff(23495,plain,
% 15.96/11.16 ((~(v130(constB167, bitIndex1) <=> b010(bitIndex1))) | v130(constB167, bitIndex1) | (~b010(bitIndex1))),
% 15.96/11.16 inference(tautology,[status(thm)],[])).
% 15.96/11.16 tff(23496,plain,
% 15.96/11.16 ((~(v130(constB167, bitIndex1) <=> b010(bitIndex1))) | v130(constB167, bitIndex1)),
% 15.96/11.16 inference(unit_resolution,[status(thm)],[23495, 5877])).
% 15.96/11.16 tff(23497,plain,
% 15.96/11.16 (v130(constB167, bitIndex1)),
% 15.96/11.16 inference(unit_resolution,[status(thm)],[23496, 23494])).
% 15.96/11.16 tff(23498,plain,
% 15.96/11.16 ((~(v127(constB167, bitIndex1) <=> v130(constB167, bitIndex1))) | v127(constB167, bitIndex1) | (~v130(constB167, bitIndex1))),
% 15.96/11.16 inference(tautology,[status(thm)],[])).
% 15.96/11.16 tff(23499,plain,
% 15.96/11.16 (v127(constB167, bitIndex1)),
% 15.96/11.16 inference(unit_resolution,[status(thm)],[23498, 23497, 23490])).
% 15.96/11.16 tff(23500,plain,
% 15.96/11.16 ((~(v129(constB168, bitIndex1) <=> v127(constB167, bitIndex1))) | v129(constB168, bitIndex1) | (~v127(constB167, bitIndex1))),
% 15.96/11.16 inference(tautology,[status(thm)],[])).
% 15.96/11.16 tff(23501,plain,
% 15.96/11.16 (v129(constB168, bitIndex1)),
% 15.96/11.16 inference(unit_resolution,[status(thm)],[23500, 23499, 23486])).
% 15.96/11.16 tff(23502,plain,
% 15.96/11.16 ((~(v90(constB168, bitIndex1) <=> v129(constB168, bitIndex1))) | v90(constB168, bitIndex1) | (~v129(constB168, bitIndex1))),
% 15.96/11.17 inference(tautology,[status(thm)],[])).
% 15.96/11.17 tff(23503,plain,
% 15.96/11.17 (v90(constB168, bitIndex1)),
% 15.96/11.17 inference(unit_resolution,[status(thm)],[23502, 23501, 23482])).
% 15.96/11.17 tff(23504,plain,
% 15.96/11.17 ((~(v90(constB169, bitIndex1) <=> v90(constB168, bitIndex1))) | v90(constB169, bitIndex1) | (~v90(constB168, bitIndex1))),
% 15.96/11.17 inference(tautology,[status(thm)],[])).
% 15.96/11.17 tff(23505,plain,
% 15.96/11.17 (v90(constB169, bitIndex1)),
% 15.96/11.17 inference(unit_resolution,[status(thm)],[23504, 23503, 23478])).
% 15.96/11.17 tff(23506,plain,
% 15.96/11.17 ((~(v88(constB169, bitIndex1) <=> v90(constB169, bitIndex1))) | v88(constB169, bitIndex1) | (~v90(constB169, bitIndex1))),
% 15.96/11.17 inference(tautology,[status(thm)],[])).
% 15.96/11.17 tff(23507,plain,
% 15.96/11.17 (v88(constB169, bitIndex1)),
% 15.96/11.17 inference(unit_resolution,[status(thm)],[23506, 23505, 23474])).
% 15.96/11.17 tff(23508,plain,
% 15.96/11.17 ((~(v88(constB169, bitIndex2) | (~v88(constB169, bitIndex1)) | v88(constB169, bitIndex0))) | v88(constB169, bitIndex2) | (~v88(constB169, bitIndex1)) | v88(constB169, bitIndex0)),
% 15.96/11.17 inference(tautology,[status(thm)],[])).
% 15.96/11.17 tff(23509,plain,
% 15.96/11.17 (~(v88(constB169, bitIndex2) | (~v88(constB169, bitIndex1)) | v88(constB169, bitIndex0))),
% 15.96/11.17 inference(unit_resolution,[status(thm)],[23508, 23507, 23470, 23433])).
% 15.96/11.17 tff(23510,plain,
% 15.96/11.17 ((~(v143(constB169) <=> (~(v88(constB169, bitIndex2) | (~v88(constB169, bitIndex1)) | v88(constB169, bitIndex0))))) | v143(constB169) | (v88(constB169, bitIndex2) | (~v88(constB169, bitIndex1)) | v88(constB169, bitIndex0))),
% 15.96/11.17 inference(tautology,[status(thm)],[])).
% 15.96/11.17 tff(23511,plain,
% 15.96/11.17 (v143(constB169)),
% 15.96/11.17 inference(unit_resolution,[status(thm)],[23510, 23509, 20672])).
% 15.96/11.17 tff(23512,plain,
% 15.96/11.17 ((v143(constB169) | v144(constB169)) | (~v143(constB169))),
% 15.96/11.17 inference(tautology,[status(thm)],[])).
% 15.96/11.17 tff(23513,plain,
% 15.96/11.17 (v143(constB169) | v144(constB169)),
% 15.96/11.17 inference(unit_resolution,[status(thm)],[23512, 23511])).
% 15.96/11.17 tff(23514,plain,
% 15.96/11.17 ((~(v142(constB169) <=> (v143(constB169) | v144(constB169)))) | v142(constB169) | (~(v143(constB169) | v144(constB169)))),
% 15.96/11.17 inference(tautology,[status(thm)],[])).
% 15.96/11.17 tff(23515,plain,
% 15.96/11.17 (v142(constB169)),
% 15.96/11.17 inference(unit_resolution,[status(thm)],[23514, 23513, 20652])).
% 15.96/11.17 tff(23516,plain,
% 15.96/11.17 (^[VarCurr: $i] : refl((v148(VarCurr) | (~v142(VarCurr))) <=> (v148(VarCurr) | (~v142(VarCurr))))),
% 15.96/11.17 inference(bind,[status(th)],[])).
% 15.96/11.17 tff(23517,plain,
% 15.96/11.17 (![VarCurr: $i] : (v148(VarCurr) | (~v142(VarCurr))) <=> ![VarCurr: $i] : (v148(VarCurr) | (~v142(VarCurr)))),
% 15.96/11.17 inference(quant_intro,[status(thm)],[23516])).
% 15.96/11.17 tff(23518,plain,
% 15.96/11.17 (![VarCurr: $i] : (v148(VarCurr) | (~v142(VarCurr))) <=> ![VarCurr: $i] : (v148(VarCurr) | (~v142(VarCurr)))),
% 15.96/11.17 inference(rewrite,[status(thm)],[])).
% 15.96/11.17 tff(23519,plain,
% 15.96/11.17 (^[VarCurr: $i] : trans(monotonicity(rewrite((v148(VarCurr) <=> $true) <=> v148(VarCurr)), ((v142(VarCurr) => (v148(VarCurr) <=> $true)) <=> (v142(VarCurr) => v148(VarCurr)))), rewrite((v142(VarCurr) => v148(VarCurr)) <=> (v148(VarCurr) | (~v142(VarCurr)))), ((v142(VarCurr) => (v148(VarCurr) <=> $true)) <=> (v148(VarCurr) | (~v142(VarCurr)))))),
% 15.96/11.17 inference(bind,[status(th)],[])).
% 15.96/11.17 tff(23520,plain,
% 15.96/11.17 (![VarCurr: $i] : (v142(VarCurr) => (v148(VarCurr) <=> $true)) <=> ![VarCurr: $i] : (v148(VarCurr) | (~v142(VarCurr)))),
% 15.96/11.17 inference(quant_intro,[status(thm)],[23519])).
% 15.96/11.17 tff(23521,axiom,(![VarCurr: $i] : (v142(VarCurr) => (v148(VarCurr) <=> $true))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','addParallelCaseBooleanConditionEqualRanges1_2')).
% 15.96/11.17 tff(23522,plain,
% 15.96/11.17 (![VarCurr: $i] : (v148(VarCurr) | (~v142(VarCurr)))),
% 15.96/11.17 inference(modus_ponens,[status(thm)],[23521, 23520])).
% 15.96/11.17 tff(23523,plain,
% 15.96/11.17 (![VarCurr: $i] : (v148(VarCurr) | (~v142(VarCurr)))),
% 15.96/11.17 inference(modus_ponens,[status(thm)],[23522, 23518])).
% 15.96/11.17 tff(23524,plain,(
% 15.96/11.17 ![VarCurr: $i] : (v148(VarCurr) | (~v142(VarCurr)))),
% 15.96/11.17 inference(skolemize,[status(sab)],[23523])).
% 15.96/11.17 tff(23525,plain,
% 15.96/11.17 (![VarCurr: $i] : (v148(VarCurr) | (~v142(VarCurr)))),
% 15.96/11.17 inference(modus_ponens,[status(thm)],[23524, 23517])).
% 15.96/11.17 tff(23526,plain,
% 15.96/11.17 (((~![VarCurr: $i] : (v148(VarCurr) | (~v142(VarCurr)))) | (v148(constB169) | (~v142(constB169)))) <=> ((~![VarCurr: $i] : (v148(VarCurr) | (~v142(VarCurr)))) | v148(constB169) | (~v142(constB169)))),
% 15.96/11.17 inference(rewrite,[status(thm)],[])).
% 15.96/11.17 tff(23527,plain,
% 15.96/11.17 ((~![VarCurr: $i] : (v148(VarCurr) | (~v142(VarCurr)))) | (v148(constB169) | (~v142(constB169)))),
% 15.96/11.17 inference(quant_inst,[status(thm)],[])).
% 15.96/11.17 tff(23528,plain,
% 15.96/11.17 ((~![VarCurr: $i] : (v148(VarCurr) | (~v142(VarCurr)))) | v148(constB169) | (~v142(constB169))),
% 15.96/11.17 inference(modus_ponens,[status(thm)],[23527, 23526])).
% 15.96/11.17 tff(23529,plain,
% 15.96/11.17 (v148(constB169) | (~v142(constB169))),
% 15.96/11.17 inference(unit_resolution,[status(thm)],[23528, 23525])).
% 15.96/11.17 tff(23530,plain,
% 15.96/11.17 (v148(constB169)),
% 15.96/11.17 inference(unit_resolution,[status(thm)],[23529, 23515])).
% 15.96/11.17 tff(23531,plain,
% 15.96/11.17 (^[VarCurr: $i] : refl((v135(VarCurr) <=> (v136(VarCurr) | v145(VarCurr))) <=> (v135(VarCurr) <=> (v136(VarCurr) | v145(VarCurr))))),
% 15.96/11.17 inference(bind,[status(th)],[])).
% 15.96/11.17 tff(23532,plain,
% 15.96/11.17 (![VarCurr: $i] : (v135(VarCurr) <=> (v136(VarCurr) | v145(VarCurr))) <=> ![VarCurr: $i] : (v135(VarCurr) <=> (v136(VarCurr) | v145(VarCurr)))),
% 15.96/11.17 inference(quant_intro,[status(thm)],[23531])).
% 15.96/11.17 tff(23533,plain,
% 15.96/11.17 (![VarCurr: $i] : (v135(VarCurr) <=> (v136(VarCurr) | v145(VarCurr))) <=> ![VarCurr: $i] : (v135(VarCurr) <=> (v136(VarCurr) | v145(VarCurr)))),
% 15.96/11.17 inference(rewrite,[status(thm)],[])).
% 15.96/11.17 tff(23534,axiom,(![VarCurr: $i] : (v135(VarCurr) <=> (v136(VarCurr) | v145(VarCurr)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','writeBinaryOperatorEqualRangesSingleBits_33')).
% 15.96/11.17 tff(23535,plain,
% 15.96/11.17 (![VarCurr: $i] : (v135(VarCurr) <=> (v136(VarCurr) | v145(VarCurr)))),
% 15.96/11.17 inference(modus_ponens,[status(thm)],[23534, 23533])).
% 15.96/11.17 tff(23536,plain,(
% 15.96/11.17 ![VarCurr: $i] : (v135(VarCurr) <=> (v136(VarCurr) | v145(VarCurr)))),
% 15.96/11.17 inference(skolemize,[status(sab)],[23535])).
% 15.96/11.17 tff(23537,plain,
% 15.96/11.17 (![VarCurr: $i] : (v135(VarCurr) <=> (v136(VarCurr) | v145(VarCurr)))),
% 15.96/11.17 inference(modus_ponens,[status(thm)],[23536, 23532])).
% 15.96/11.17 tff(23538,plain,
% 15.96/11.17 ((~![VarCurr: $i] : (v135(VarCurr) <=> (v136(VarCurr) | v145(VarCurr)))) | (v135(constB169) <=> (v136(constB169) | v145(constB169)))),
% 15.96/11.17 inference(quant_inst,[status(thm)],[])).
% 15.96/11.17 tff(23539,plain,
% 15.96/11.17 (v135(constB169) <=> (v136(constB169) | v145(constB169))),
% 15.96/11.17 inference(unit_resolution,[status(thm)],[23538, 23537])).
% 15.96/11.17 tff(23540,plain,
% 15.96/11.17 (^[VarCurr: $i] : refl((v136(VarCurr) <=> (v137(VarCurr) | v142(VarCurr))) <=> (v136(VarCurr) <=> (v137(VarCurr) | v142(VarCurr))))),
% 15.96/11.17 inference(bind,[status(th)],[])).
% 15.96/11.17 tff(23541,plain,
% 15.96/11.17 (![VarCurr: $i] : (v136(VarCurr) <=> (v137(VarCurr) | v142(VarCurr))) <=> ![VarCurr: $i] : (v136(VarCurr) <=> (v137(VarCurr) | v142(VarCurr)))),
% 15.96/11.17 inference(quant_intro,[status(thm)],[23540])).
% 15.96/11.17 tff(23542,plain,
% 15.96/11.17 (![VarCurr: $i] : (v136(VarCurr) <=> (v137(VarCurr) | v142(VarCurr))) <=> ![VarCurr: $i] : (v136(VarCurr) <=> (v137(VarCurr) | v142(VarCurr)))),
% 15.96/11.17 inference(rewrite,[status(thm)],[])).
% 15.96/11.17 tff(23543,axiom,(![VarCurr: $i] : (v136(VarCurr) <=> (v137(VarCurr) | v142(VarCurr)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','writeBinaryOperatorEqualRangesSingleBits_31')).
% 15.96/11.17 tff(23544,plain,
% 15.96/11.17 (![VarCurr: $i] : (v136(VarCurr) <=> (v137(VarCurr) | v142(VarCurr)))),
% 15.96/11.17 inference(modus_ponens,[status(thm)],[23543, 23542])).
% 15.96/11.17 tff(23545,plain,(
% 15.96/11.17 ![VarCurr: $i] : (v136(VarCurr) <=> (v137(VarCurr) | v142(VarCurr)))),
% 15.96/11.17 inference(skolemize,[status(sab)],[23544])).
% 15.96/11.17 tff(23546,plain,
% 15.96/11.17 (![VarCurr: $i] : (v136(VarCurr) <=> (v137(VarCurr) | v142(VarCurr)))),
% 15.96/11.17 inference(modus_ponens,[status(thm)],[23545, 23541])).
% 15.96/11.17 tff(23547,plain,
% 15.96/11.17 ((~![VarCurr: $i] : (v136(VarCurr) <=> (v137(VarCurr) | v142(VarCurr)))) | (v136(constB169) <=> (v137(constB169) | v142(constB169)))),
% 15.96/11.17 inference(quant_inst,[status(thm)],[])).
% 15.96/11.17 tff(23548,plain,
% 15.96/11.17 (v136(constB169) <=> (v137(constB169) | v142(constB169))),
% 15.96/11.17 inference(unit_resolution,[status(thm)],[23547, 23546])).
% 15.96/11.17 tff(23549,plain,
% 15.96/11.17 ((v137(constB169) | v142(constB169)) | (~v142(constB169))),
% 15.96/11.17 inference(tautology,[status(thm)],[])).
% 15.96/11.17 tff(23550,plain,
% 15.96/11.17 (v137(constB169) | v142(constB169)),
% 15.96/11.17 inference(unit_resolution,[status(thm)],[23549, 23515])).
% 15.96/11.17 tff(23551,plain,
% 15.96/11.17 ((~(v136(constB169) <=> (v137(constB169) | v142(constB169)))) | v136(constB169) | (~(v137(constB169) | v142(constB169)))),
% 15.96/11.17 inference(tautology,[status(thm)],[])).
% 15.96/11.17 tff(23552,plain,
% 15.96/11.17 (v136(constB169)),
% 15.96/11.17 inference(unit_resolution,[status(thm)],[23551, 23550, 23548])).
% 15.96/11.17 tff(23553,plain,
% 15.96/11.17 ((v136(constB169) | v145(constB169)) | (~v136(constB169))),
% 15.96/11.17 inference(tautology,[status(thm)],[])).
% 15.96/11.17 tff(23554,plain,
% 15.96/11.17 (v136(constB169) | v145(constB169)),
% 15.96/11.17 inference(unit_resolution,[status(thm)],[23553, 23552])).
% 15.96/11.17 tff(23555,plain,
% 15.96/11.17 ((~(v135(constB169) <=> (v136(constB169) | v145(constB169)))) | v135(constB169) | (~(v136(constB169) | v145(constB169)))),
% 15.96/11.17 inference(tautology,[status(thm)],[])).
% 15.96/11.17 tff(23556,plain,
% 15.96/11.17 (v135(constB169)),
% 15.96/11.17 inference(unit_resolution,[status(thm)],[23555, 23554, 23539])).
% 15.96/11.17 tff(23557,plain,
% 15.96/11.17 (^[VarNext: $i] : refl(((~v135(VarNext)) | (v86(VarNext) <=> v148(VarNext))) <=> ((~v135(VarNext)) | (v86(VarNext) <=> v148(VarNext))))),
% 15.96/11.17 inference(bind,[status(th)],[])).
% 15.96/11.17 tff(23558,plain,
% 15.96/11.17 (![VarNext: $i] : ((~v135(VarNext)) | (v86(VarNext) <=> v148(VarNext))) <=> ![VarNext: $i] : ((~v135(VarNext)) | (v86(VarNext) <=> v148(VarNext)))),
% 15.96/11.17 inference(quant_intro,[status(thm)],[23557])).
% 15.96/11.17 tff(23559,plain,
% 15.96/11.17 (![VarNext: $i] : ((~v135(VarNext)) | (v86(VarNext) <=> v148(VarNext))) <=> ![VarNext: $i] : ((~v135(VarNext)) | (v86(VarNext) <=> v148(VarNext)))),
% 15.96/11.17 inference(rewrite,[status(thm)],[])).
% 15.96/11.17 tff(23560,plain,
% 15.96/11.17 (^[VarNext: $i] : rewrite((v135(VarNext) => (v86(VarNext) <=> v148(VarNext))) <=> ((~v135(VarNext)) | (v86(VarNext) <=> v148(VarNext))))),
% 15.96/11.17 inference(bind,[status(th)],[])).
% 15.96/11.17 tff(23561,plain,
% 15.96/11.17 (![VarNext: $i] : (v135(VarNext) => (v86(VarNext) <=> v148(VarNext))) <=> ![VarNext: $i] : ((~v135(VarNext)) | (v86(VarNext) <=> v148(VarNext)))),
% 15.96/11.17 inference(quant_intro,[status(thm)],[23560])).
% 15.96/11.17 tff(23562,axiom,(![VarNext: $i] : (v135(VarNext) => (v86(VarNext) <=> v148(VarNext)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','addConditionBooleanCondEqualRangesThenBranch_4')).
% 15.96/11.17 tff(23563,plain,
% 15.96/11.17 (![VarNext: $i] : ((~v135(VarNext)) | (v86(VarNext) <=> v148(VarNext)))),
% 15.96/11.17 inference(modus_ponens,[status(thm)],[23562, 23561])).
% 15.96/11.17 tff(23564,plain,
% 15.96/11.17 (![VarNext: $i] : ((~v135(VarNext)) | (v86(VarNext) <=> v148(VarNext)))),
% 15.96/11.17 inference(modus_ponens,[status(thm)],[23563, 23559])).
% 15.96/11.17 tff(23565,plain,(
% 15.96/11.17 ![VarNext: $i] : ((~v135(VarNext)) | (v86(VarNext) <=> v148(VarNext)))),
% 15.96/11.17 inference(skolemize,[status(sab)],[23564])).
% 15.96/11.17 tff(23566,plain,
% 15.96/11.17 (![VarNext: $i] : ((~v135(VarNext)) | (v86(VarNext) <=> v148(VarNext)))),
% 15.96/11.17 inference(modus_ponens,[status(thm)],[23565, 23558])).
% 15.96/11.17 tff(23567,plain,
% 15.96/11.17 (((~![VarNext: $i] : ((~v135(VarNext)) | (v86(VarNext) <=> v148(VarNext)))) | ((~v135(constB169)) | (v86(constB169) <=> v148(constB169)))) <=> ((~![VarNext: $i] : ((~v135(VarNext)) | (v86(VarNext) <=> v148(VarNext)))) | (~v135(constB169)) | (v86(constB169) <=> v148(constB169)))),
% 15.96/11.17 inference(rewrite,[status(thm)],[])).
% 15.96/11.17 tff(23568,plain,
% 15.96/11.17 ((~![VarNext: $i] : ((~v135(VarNext)) | (v86(VarNext) <=> v148(VarNext)))) | ((~v135(constB169)) | (v86(constB169) <=> v148(constB169)))),
% 15.96/11.17 inference(quant_inst,[status(thm)],[])).
% 15.96/11.17 tff(23569,plain,
% 15.96/11.17 ((~![VarNext: $i] : ((~v135(VarNext)) | (v86(VarNext) <=> v148(VarNext)))) | (~v135(constB169)) | (v86(constB169) <=> v148(constB169))),
% 15.96/11.17 inference(modus_ponens,[status(thm)],[23568, 23567])).
% 15.96/11.17 tff(23570,plain,
% 15.96/11.17 ((~v135(constB169)) | (v86(constB169) <=> v148(constB169))),
% 15.96/11.17 inference(unit_resolution,[status(thm)],[23569, 23566])).
% 15.96/11.17 tff(23571,plain,
% 15.96/11.17 (v86(constB169) <=> v148(constB169)),
% 15.96/11.17 inference(unit_resolution,[status(thm)],[23570, 23556])).
% 15.96/11.17 tff(23572,plain,
% 15.96/11.17 ((~(v86(constB169) <=> v148(constB169))) | v86(constB169) | (~v148(constB169))),
% 15.96/11.17 inference(tautology,[status(thm)],[])).
% 15.96/11.17 tff(23573,plain,
% 15.96/11.17 (v86(constB169)),
% 15.96/11.17 inference(unit_resolution,[status(thm)],[23572, 23571, 23530])).
% 15.96/11.17 tff(23574,plain,
% 15.96/11.17 ($false),
% 15.96/11.17 inference(unit_resolution,[status(thm)],[23573, 20650])).
% 15.96/11.17 tff(23575,plain,(~(constB169 = VarCurr!0)), inference(lemma,lemma(discharge,[]))).
% 15.96/11.17 tff(23576,assumption,(constB167 = VarCurr!0), introduced(assumption)).
% 15.96/11.17 tff(23577,plain,
% 15.96/11.17 (v193(constB167) <=> v193(VarCurr!0)),
% 15.96/11.17 inference(monotonicity,[status(thm)],[23576])).
% 15.96/11.17 tff(23578,plain,
% 15.96/11.17 (v193(VarCurr!0) <=> v193(constB167)),
% 15.96/11.17 inference(symmetry,[status(thm)],[23577])).
% 15.96/11.17 tff(23579,plain,
% 15.96/11.17 (v193(constB167)),
% 15.96/11.17 inference(modus_ponens,[status(thm)],[59, 23578])).
% 15.96/11.17 tff(23580,plain,
% 15.96/11.17 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v193(VarNext) <=> v191(VarCurr)))) | ((~nextState(constB166, constB167)) | (v193(constB167) <=> v191(constB166)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v193(VarNext) <=> v191(VarCurr)))) | (~nextState(constB166, constB167)) | (v193(constB167) <=> v191(constB166)))),
% 15.96/11.17 inference(rewrite,[status(thm)],[])).
% 15.96/11.17 tff(23581,plain,
% 15.96/11.17 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v193(VarNext) <=> v191(VarCurr)))) | ((~nextState(constB166, constB167)) | (v193(constB167) <=> v191(constB166)))),
% 15.96/11.17 inference(quant_inst,[status(thm)],[])).
% 15.96/11.17 tff(23582,plain,
% 15.96/11.17 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v193(VarNext) <=> v191(VarCurr)))) | (~nextState(constB166, constB167)) | (v193(constB167) <=> v191(constB166))),
% 15.96/11.17 inference(modus_ponens,[status(thm)],[23581, 23580])).
% 15.96/11.17 tff(23583,plain,
% 15.96/11.17 (v193(constB167) <=> v191(constB166)),
% 15.96/11.17 inference(unit_resolution,[status(thm)],[23582, 20779, 70])).
% 15.96/11.17 tff(23584,plain,
% 15.96/11.17 ((~![VarCurr: $i] : (v191(VarCurr) <=> (v194(VarCurr) | v198(VarCurr)))) | (v191(constB166) <=> (v194(constB166) | v198(constB166)))),
% 15.96/11.17 inference(quant_inst,[status(thm)],[])).
% 15.96/11.17 tff(23585,plain,
% 15.96/11.17 (v191(constB166) <=> (v194(constB166) | v198(constB166))),
% 15.96/11.17 inference(unit_resolution,[status(thm)],[23584, 84])).
% 15.96/11.17 tff(23586,plain,
% 15.96/11.17 ((~![VarCurr: $i] : (v198(VarCurr) <=> (~((~v199(VarCurr)) | (~v200(VarCurr)))))) | (v198(constB166) <=> (~((~v199(constB166)) | (~v200(constB166)))))),
% 15.96/11.17 inference(quant_inst,[status(thm)],[])).
% 15.96/11.17 tff(23587,plain,
% 15.96/11.17 (v198(constB166) <=> (~((~v199(constB166)) | (~v200(constB166))))),
% 15.96/11.17 inference(unit_resolution,[status(thm)],[23586, 96])).
% 15.96/11.17 tff(23588,plain,
% 15.96/11.17 ((~![VarCurr: $i] : (v200(VarCurr) <=> (~((~v197(VarCurr)) | (~v201(VarCurr)))))) | (v200(constB166) <=> (~((~v197(constB166)) | (~v201(constB166)))))),
% 15.96/11.17 inference(quant_inst,[status(thm)],[])).
% 15.96/11.17 tff(23589,plain,
% 15.96/11.17 (v200(constB166) <=> (~((~v197(constB166)) | (~v201(constB166))))),
% 15.96/11.17 inference(unit_resolution,[status(thm)],[23588, 108])).
% 15.96/11.17 tff(23590,plain,
% 15.96/11.17 ((~![VarCurr: $i] : (v197(VarCurr) <=> (~((~v39(VarCurr)) | (~v9(VarCurr)))))) | (v197(constB166) <=> (~((~v39(constB166)) | (~v9(constB166)))))),
% 15.96/11.17 inference(quant_inst,[status(thm)],[])).
% 15.96/11.17 tff(23591,plain,
% 15.96/11.17 (v197(constB166) <=> (~((~v39(constB166)) | (~v9(constB166))))),
% 15.96/11.17 inference(unit_resolution,[status(thm)],[23590, 120])).
% 15.96/11.17 tff(23592,plain,
% 15.96/11.17 ((~![VarCurr: $i] : ((~v39(VarCurr)) <=> v1(VarCurr))) | ((~v39(constB166)) <=> v1(constB166))),
% 15.96/11.17 inference(quant_inst,[status(thm)],[])).
% 15.96/11.17 tff(23593,plain,
% 15.96/11.17 ((~v39(constB166)) <=> v1(constB166)),
% 15.96/11.17 inference(unit_resolution,[status(thm)],[23592, 129])).
% 15.96/11.17 tff(23594,plain,
% 15.96/11.17 ((~((~v39(constB166)) <=> v1(constB166))) | (~v39(constB166)) | (~v1(constB166))),
% 15.96/11.17 inference(tautology,[status(thm)],[])).
% 15.96/11.17 tff(23595,plain,
% 15.96/11.17 ((~((~v39(constB166)) <=> v1(constB166))) | (~v39(constB166))),
% 15.96/11.17 inference(unit_resolution,[status(thm)],[23594, 20841])).
% 15.96/11.17 tff(23596,plain,
% 15.96/11.17 (~v39(constB166)),
% 15.96/11.17 inference(unit_resolution,[status(thm)],[23595, 23593])).
% 15.96/11.17 tff(23597,plain,
% 15.96/11.17 (((~v39(constB166)) | (~v9(constB166))) | v39(constB166)),
% 15.96/11.17 inference(tautology,[status(thm)],[])).
% 15.96/11.17 tff(23598,plain,
% 15.96/11.17 ((~v39(constB166)) | (~v9(constB166))),
% 15.96/11.17 inference(unit_resolution,[status(thm)],[23597, 23596])).
% 15.96/11.17 tff(23599,plain,
% 15.96/11.17 ((~(v197(constB166) <=> (~((~v39(constB166)) | (~v9(constB166)))))) | (~v197(constB166)) | (~((~v39(constB166)) | (~v9(constB166))))),
% 15.96/11.17 inference(tautology,[status(thm)],[])).
% 15.96/11.17 tff(23600,plain,
% 15.96/11.17 ((~(v197(constB166) <=> (~((~v39(constB166)) | (~v9(constB166)))))) | (~v197(constB166))),
% 15.96/11.17 inference(unit_resolution,[status(thm)],[23599, 23598])).
% 15.96/11.17 tff(23601,plain,
% 15.96/11.17 (~v197(constB166)),
% 15.96/11.17 inference(unit_resolution,[status(thm)],[23600, 23591])).
% 15.96/11.17 tff(23602,plain,
% 15.96/11.17 (((~v197(constB166)) | (~v201(constB166))) | v197(constB166)),
% 15.96/11.17 inference(tautology,[status(thm)],[])).
% 15.96/11.17 tff(23603,plain,
% 15.96/11.17 ((~v197(constB166)) | (~v201(constB166))),
% 15.96/11.17 inference(unit_resolution,[status(thm)],[23602, 23601])).
% 15.96/11.17 tff(23604,plain,
% 15.96/11.17 ((~(v200(constB166) <=> (~((~v197(constB166)) | (~v201(constB166)))))) | (~v200(constB166)) | (~((~v197(constB166)) | (~v201(constB166))))),
% 15.96/11.17 inference(tautology,[status(thm)],[])).
% 15.96/11.17 tff(23605,plain,
% 15.96/11.17 ((~(v200(constB166) <=> (~((~v197(constB166)) | (~v201(constB166)))))) | (~v200(constB166))),
% 15.96/11.17 inference(unit_resolution,[status(thm)],[23604, 23603])).
% 15.96/11.17 tff(23606,plain,
% 15.96/11.17 (~v200(constB166)),
% 15.96/11.17 inference(unit_resolution,[status(thm)],[23605, 23589])).
% 15.96/11.17 tff(23607,plain,
% 15.96/11.17 (((~v199(constB166)) | (~v200(constB166))) | v200(constB166)),
% 15.96/11.17 inference(tautology,[status(thm)],[])).
% 15.96/11.17 tff(23608,plain,
% 15.96/11.17 ((~v199(constB166)) | (~v200(constB166))),
% 15.96/11.17 inference(unit_resolution,[status(thm)],[23607, 23606])).
% 15.96/11.17 tff(23609,plain,
% 15.96/11.17 ((~(v198(constB166) <=> (~((~v199(constB166)) | (~v200(constB166)))))) | (~v198(constB166)) | (~((~v199(constB166)) | (~v200(constB166))))),
% 15.96/11.17 inference(tautology,[status(thm)],[])).
% 15.96/11.17 tff(23610,plain,
% 15.96/11.17 (~v198(constB166)),
% 15.96/11.17 inference(unit_resolution,[status(thm)],[23609, 23608, 23587])).
% 15.96/11.17 tff(23611,plain,
% 15.96/11.17 (((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB166) <=> (~((~v157(constB166)) | (~v195(constB166)))))) <=> ((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB166) <=> (~((~v157(constB166)) | (~v195(constB166))))))),
% 15.96/11.17 inference(rewrite,[status(thm)],[])).
% 15.96/11.17 tff(23612,plain,
% 15.96/11.17 ((v194(constB166) <=> (~((~v195(constB166)) | (~v157(constB166))))) <=> (v194(constB166) <=> (~((~v157(constB166)) | (~v195(constB166)))))),
% 15.96/11.17 inference(rewrite,[status(thm)],[])).
% 15.96/11.17 tff(23613,plain,
% 15.96/11.17 (((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB166) <=> (~((~v195(constB166)) | (~v157(constB166)))))) <=> ((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB166) <=> (~((~v157(constB166)) | (~v195(constB166))))))),
% 15.96/11.17 inference(monotonicity,[status(thm)],[23612])).
% 15.96/11.17 tff(23614,plain,
% 15.96/11.17 (((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB166) <=> (~((~v195(constB166)) | (~v157(constB166)))))) <=> ((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB166) <=> (~((~v157(constB166)) | (~v195(constB166))))))),
% 15.96/11.17 inference(transitivity,[status(thm)],[23613, 23611])).
% 15.96/11.17 tff(23615,plain,
% 15.96/11.17 ((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB166) <=> (~((~v195(constB166)) | (~v157(constB166)))))),
% 15.96/11.17 inference(quant_inst,[status(thm)],[])).
% 15.96/11.17 tff(23616,plain,
% 15.96/11.17 ((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB166) <=> (~((~v157(constB166)) | (~v195(constB166)))))),
% 15.96/11.17 inference(modus_ponens,[status(thm)],[23615, 23614])).
% 15.96/11.17 tff(23617,plain,
% 15.96/11.17 (v194(constB166) <=> (~((~v157(constB166)) | (~v195(constB166))))),
% 15.96/11.17 inference(unit_resolution,[status(thm)],[23616, 161])).
% 15.96/11.17 tff(23618,plain,
% 15.96/11.17 ((~![VarNext: $i] : (v157(VarNext) <=> v193(VarNext))) | (v157(constB166) <=> v193(constB166))),
% 15.96/11.17 inference(quant_inst,[status(thm)],[])).
% 15.96/11.17 tff(23619,plain,
% 15.96/11.17 (v157(constB166) <=> v193(constB166)),
% 15.96/11.17 inference(unit_resolution,[status(thm)],[23618, 13])).
% 15.96/11.17 tff(23620,plain,
% 15.96/11.17 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v193(VarNext) <=> v191(VarCurr)))) | ((~nextState(constB165, constB166)) | (v193(constB166) <=> v191(constB165)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v193(VarNext) <=> v191(VarCurr)))) | (~nextState(constB165, constB166)) | (v193(constB166) <=> v191(constB165)))),
% 15.96/11.18 inference(rewrite,[status(thm)],[])).
% 15.96/11.18 tff(23621,plain,
% 15.96/11.18 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v193(VarNext) <=> v191(VarCurr)))) | ((~nextState(constB165, constB166)) | (v193(constB166) <=> v191(constB165)))),
% 15.96/11.18 inference(quant_inst,[status(thm)],[])).
% 15.96/11.18 tff(23622,plain,
% 15.96/11.18 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v193(VarNext) <=> v191(VarCurr)))) | (~nextState(constB165, constB166)) | (v193(constB166) <=> v191(constB165))),
% 15.96/11.18 inference(modus_ponens,[status(thm)],[23621, 23620])).
% 15.96/11.18 tff(23623,plain,
% 15.96/11.18 (v193(constB166) <=> v191(constB165)),
% 15.96/11.18 inference(unit_resolution,[status(thm)],[23622, 20811, 70])).
% 15.96/11.18 tff(23624,plain,
% 15.96/11.18 ((~![VarCurr: $i] : (v191(VarCurr) <=> (v194(VarCurr) | v198(VarCurr)))) | (v191(constB165) <=> (v194(constB165) | v198(constB165)))),
% 15.96/11.18 inference(quant_inst,[status(thm)],[])).
% 15.96/11.18 tff(23625,plain,
% 15.96/11.18 (v191(constB165) <=> (v194(constB165) | v198(constB165))),
% 15.96/11.18 inference(unit_resolution,[status(thm)],[23624, 84])).
% 15.96/11.18 tff(23626,plain,
% 15.96/11.18 (((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB165) <=> (~((~v157(constB165)) | (~v195(constB165)))))) <=> ((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB165) <=> (~((~v157(constB165)) | (~v195(constB165))))))),
% 15.96/11.18 inference(rewrite,[status(thm)],[])).
% 15.96/11.18 tff(23627,plain,
% 15.96/11.18 ((v194(constB165) <=> (~((~v195(constB165)) | (~v157(constB165))))) <=> (v194(constB165) <=> (~((~v157(constB165)) | (~v195(constB165)))))),
% 15.96/11.18 inference(rewrite,[status(thm)],[])).
% 15.96/11.18 tff(23628,plain,
% 15.96/11.18 (((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB165) <=> (~((~v195(constB165)) | (~v157(constB165)))))) <=> ((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB165) <=> (~((~v157(constB165)) | (~v195(constB165))))))),
% 15.96/11.18 inference(monotonicity,[status(thm)],[23627])).
% 15.96/11.18 tff(23629,plain,
% 15.96/11.18 (((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB165) <=> (~((~v195(constB165)) | (~v157(constB165)))))) <=> ((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB165) <=> (~((~v157(constB165)) | (~v195(constB165))))))),
% 15.96/11.18 inference(transitivity,[status(thm)],[23628, 23626])).
% 15.96/11.18 tff(23630,plain,
% 15.96/11.18 ((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB165) <=> (~((~v195(constB165)) | (~v157(constB165)))))),
% 15.96/11.18 inference(quant_inst,[status(thm)],[])).
% 15.96/11.18 tff(23631,plain,
% 15.96/11.18 ((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB165) <=> (~((~v157(constB165)) | (~v195(constB165)))))),
% 15.96/11.18 inference(modus_ponens,[status(thm)],[23630, 23629])).
% 15.96/11.18 tff(23632,plain,
% 15.96/11.18 (v194(constB165) <=> (~((~v157(constB165)) | (~v195(constB165))))),
% 15.96/11.18 inference(unit_resolution,[status(thm)],[23631, 161])).
% 15.96/11.18 tff(23633,plain,
% 15.96/11.18 ((~![VarCurr: $i] : ((~v195(VarCurr)) <=> v196(VarCurr))) | ((~v195(constB165)) <=> v196(constB165))),
% 15.96/11.18 inference(quant_inst,[status(thm)],[])).
% 15.96/11.18 tff(23634,plain,
% 15.96/11.18 ((~v195(constB165)) <=> v196(constB165)),
% 15.96/11.18 inference(unit_resolution,[status(thm)],[23633, 193])).
% 15.96/11.18 tff(23635,plain,
% 15.96/11.18 ((~![VarCurr: $i] : (v196(VarCurr) <=> (v197(VarCurr) | v26(VarCurr)))) | (v196(constB165) <=> (v197(constB165) | v26(constB165)))),
% 15.96/11.18 inference(quant_inst,[status(thm)],[])).
% 15.96/11.18 tff(23636,plain,
% 15.96/11.18 (v196(constB165) <=> (v197(constB165) | v26(constB165))),
% 15.96/11.18 inference(unit_resolution,[status(thm)],[23635, 202])).
% 15.96/11.18 tff(23637,plain,
% 15.96/11.18 ((~![VarCurr: $i] : (v197(VarCurr) <=> (~((~v39(VarCurr)) | (~v9(VarCurr)))))) | (v197(constB165) <=> (~((~v39(constB165)) | (~v9(constB165)))))),
% 15.96/11.18 inference(quant_inst,[status(thm)],[])).
% 15.96/11.18 tff(23638,plain,
% 15.96/11.18 (v197(constB165) <=> (~((~v39(constB165)) | (~v9(constB165))))),
% 15.96/11.18 inference(unit_resolution,[status(thm)],[23637, 120])).
% 15.96/11.18 tff(23639,plain,
% 15.96/11.18 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | ((~nextState(constB165, constB166)) | (v13(constB166) <=> v9(constB165)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | (~nextState(constB165, constB166)) | (v13(constB166) <=> v9(constB165)))),
% 15.96/11.18 inference(rewrite,[status(thm)],[])).
% 15.96/11.18 tff(23640,plain,
% 15.96/11.18 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | ((~nextState(constB165, constB166)) | (v13(constB166) <=> v9(constB165)))),
% 15.96/11.18 inference(quant_inst,[status(thm)],[])).
% 15.96/11.18 tff(23641,plain,
% 15.96/11.18 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | (~nextState(constB165, constB166)) | (v13(constB166) <=> v9(constB165))),
% 15.96/11.18 inference(modus_ponens,[status(thm)],[23640, 23639])).
% 15.96/11.18 tff(23642,plain,
% 15.96/11.18 (v13(constB166) <=> v9(constB165)),
% 15.96/11.18 inference(unit_resolution,[status(thm)],[23641, 20811, 216])).
% 15.96/11.18 tff(23643,plain,
% 15.96/11.18 ((~![VarNext: $i] : (v6(VarNext) <=> v13(VarNext))) | (v6(constB166) <=> v13(constB166))),
% 15.96/11.18 inference(quant_inst,[status(thm)],[])).
% 15.96/11.18 tff(23644,plain,
% 15.96/11.18 (v6(constB166) <=> v13(constB166)),
% 15.96/11.18 inference(unit_resolution,[status(thm)],[23643, 230])).
% 15.96/11.18 tff(23645,plain,
% 15.96/11.18 ((~![VarCurr: $i] : ((~v21(VarCurr)) <=> v6(VarCurr))) | ((~v21(constB166)) <=> v6(constB166))),
% 15.96/11.18 inference(quant_inst,[status(thm)],[])).
% 15.96/11.18 tff(23646,plain,
% 15.96/11.18 ((~v21(constB166)) <=> v6(constB166)),
% 15.96/11.18 inference(unit_resolution,[status(thm)],[23645, 239])).
% 15.96/11.18 tff(23647,plain,
% 15.96/11.18 ((~![VarCurr: $i] : (v19(VarCurr) <=> (v20(VarCurr) | v21(VarCurr)))) | (v19(constB166) <=> (v20(constB166) | v21(constB166)))),
% 15.96/11.18 inference(quant_inst,[status(thm)],[])).
% 15.96/11.18 tff(23648,plain,
% 15.96/11.18 (v19(constB166) <=> (v20(constB166) | v21(constB166))),
% 15.96/11.18 inference(unit_resolution,[status(thm)],[23647, 248])).
% 15.96/11.18 tff(23649,plain,
% 15.96/11.18 ((~![VarCurr: $i] : (v18(VarCurr) <=> (~((~v19(VarCurr)) | (~v22(VarCurr)))))) | (v18(constB166) <=> (~((~v19(constB166)) | (~v22(constB166)))))),
% 15.96/11.18 inference(quant_inst,[status(thm)],[])).
% 15.96/11.18 tff(23650,plain,
% 15.96/11.18 (v18(constB166) <=> (~((~v19(constB166)) | (~v22(constB166))))),
% 15.96/11.18 inference(unit_resolution,[status(thm)],[23649, 260])).
% 15.96/11.18 tff(23651,plain,
% 15.96/11.18 ((~![VarCurr: $i] : ((~v4(VarCurr)) <=> v18(VarCurr))) | ((~v4(constB166)) <=> v18(constB166))),
% 15.96/11.18 inference(quant_inst,[status(thm)],[])).
% 15.96/11.18 tff(23652,plain,
% 15.96/11.18 ((~v4(constB166)) <=> v18(constB166)),
% 15.96/11.18 inference(unit_resolution,[status(thm)],[23651, 269])).
% 15.96/11.18 tff(23653,plain,
% 15.96/11.18 ((~![VarCurr: $i] : v4(VarCurr)) | v4(constB166)),
% 15.96/11.18 inference(quant_inst,[status(thm)],[])).
% 15.96/11.18 tff(23654,plain,
% 15.96/11.18 (v4(constB166)),
% 15.96/11.18 inference(unit_resolution,[status(thm)],[23653, 278])).
% 15.96/11.18 tff(23655,plain,
% 15.96/11.18 ((~((~v4(constB166)) <=> v18(constB166))) | (~v4(constB166)) | (~v18(constB166))),
% 15.96/11.18 inference(tautology,[status(thm)],[])).
% 15.96/11.18 tff(23656,plain,
% 15.96/11.18 (~v18(constB166)),
% 15.96/11.18 inference(unit_resolution,[status(thm)],[23655, 23654, 23652])).
% 15.96/11.18 tff(23657,plain,
% 15.96/11.18 ((~(v18(constB166) <=> (~((~v19(constB166)) | (~v22(constB166)))))) | v18(constB166) | ((~v19(constB166)) | (~v22(constB166)))),
% 15.96/11.18 inference(tautology,[status(thm)],[])).
% 15.96/11.18 tff(23658,plain,
% 15.96/11.18 ((~v19(constB166)) | (~v22(constB166))),
% 15.96/11.18 inference(unit_resolution,[status(thm)],[23657, 23656, 23650])).
% 15.96/11.18 tff(23659,plain,
% 15.96/11.18 ((~![VarCurr: $i] : (v22(VarCurr) <=> (v1(VarCurr) | v6(VarCurr)))) | (v22(constB166) <=> (v1(constB166) | v6(constB166)))),
% 15.96/11.18 inference(quant_inst,[status(thm)],[])).
% 15.96/11.18 tff(23660,plain,
% 15.96/11.18 (v22(constB166) <=> (v1(constB166) | v6(constB166))),
% 15.96/11.18 inference(unit_resolution,[status(thm)],[23659, 291])).
% 15.96/11.18 tff(23661,plain,
% 15.96/11.18 ((v1(constB166) | v6(constB166)) | (~v1(constB166))),
% 15.96/11.18 inference(tautology,[status(thm)],[])).
% 15.96/11.18 tff(23662,plain,
% 15.96/11.18 (v1(constB166) | v6(constB166)),
% 15.96/11.18 inference(unit_resolution,[status(thm)],[23661, 20841])).
% 15.96/11.18 tff(23663,plain,
% 15.96/11.18 ((~(v22(constB166) <=> (v1(constB166) | v6(constB166)))) | v22(constB166) | (~(v1(constB166) | v6(constB166)))),
% 15.96/11.18 inference(tautology,[status(thm)],[])).
% 15.96/11.18 tff(23664,plain,
% 15.96/11.18 ((~(v22(constB166) <=> (v1(constB166) | v6(constB166)))) | v22(constB166)),
% 15.96/11.18 inference(unit_resolution,[status(thm)],[23663, 23662])).
% 15.96/11.18 tff(23665,plain,
% 15.96/11.18 (v22(constB166)),
% 15.96/11.18 inference(unit_resolution,[status(thm)],[23664, 23660])).
% 15.96/11.18 tff(23666,plain,
% 15.96/11.18 ((~((~v19(constB166)) | (~v22(constB166)))) | (~v19(constB166)) | (~v22(constB166))),
% 15.96/11.18 inference(tautology,[status(thm)],[])).
% 15.96/11.18 tff(23667,plain,
% 15.96/11.18 ((~((~v19(constB166)) | (~v22(constB166)))) | (~v19(constB166))),
% 15.96/11.18 inference(unit_resolution,[status(thm)],[23666, 23665])).
% 15.96/11.18 tff(23668,plain,
% 15.96/11.18 (~v19(constB166)),
% 15.96/11.18 inference(unit_resolution,[status(thm)],[23667, 23658])).
% 15.96/11.18 tff(23669,plain,
% 15.96/11.18 ((~(v19(constB166) <=> (v20(constB166) | v21(constB166)))) | v19(constB166) | (~(v20(constB166) | v21(constB166)))),
% 15.96/11.18 inference(tautology,[status(thm)],[])).
% 15.96/11.18 tff(23670,plain,
% 15.96/11.18 (~(v20(constB166) | v21(constB166))),
% 15.96/11.18 inference(unit_resolution,[status(thm)],[23669, 23668, 23648])).
% 15.96/11.18 tff(23671,plain,
% 15.96/11.18 ((v20(constB166) | v21(constB166)) | (~v21(constB166))),
% 15.96/11.18 inference(tautology,[status(thm)],[])).
% 15.96/11.18 tff(23672,plain,
% 15.96/11.18 (~v21(constB166)),
% 15.96/11.18 inference(unit_resolution,[status(thm)],[23671, 23670])).
% 15.96/11.18 tff(23673,plain,
% 15.96/11.18 ((~((~v21(constB166)) <=> v6(constB166))) | v21(constB166) | v6(constB166)),
% 15.96/11.18 inference(tautology,[status(thm)],[])).
% 15.96/11.18 tff(23674,plain,
% 15.96/11.18 (v6(constB166)),
% 15.96/11.18 inference(unit_resolution,[status(thm)],[23673, 23672, 23646])).
% 15.96/11.18 tff(23675,plain,
% 15.96/11.18 ((~(v6(constB166) <=> v13(constB166))) | (~v6(constB166)) | v13(constB166)),
% 15.96/11.18 inference(tautology,[status(thm)],[])).
% 15.96/11.18 tff(23676,plain,
% 15.96/11.18 (v13(constB166)),
% 15.96/11.18 inference(unit_resolution,[status(thm)],[23675, 23674, 23644])).
% 15.96/11.18 tff(23677,plain,
% 15.96/11.18 ((~(v13(constB166) <=> v9(constB165))) | (~v13(constB166)) | v9(constB165)),
% 15.96/11.18 inference(tautology,[status(thm)],[])).
% 15.96/11.18 tff(23678,plain,
% 15.96/11.18 (v9(constB165)),
% 15.96/11.18 inference(unit_resolution,[status(thm)],[23677, 23676, 23642])).
% 15.96/11.18 tff(23679,plain,
% 15.96/11.18 ((~![VarCurr: $i] : ((~v39(VarCurr)) <=> v1(VarCurr))) | ((~v39(constB165)) <=> v1(constB165))),
% 15.96/11.18 inference(quant_inst,[status(thm)],[])).
% 15.96/11.18 tff(23680,plain,
% 15.96/11.18 ((~v39(constB165)) <=> v1(constB165)),
% 15.96/11.18 inference(unit_resolution,[status(thm)],[23679, 129])).
% 15.96/11.18 tff(23681,plain,
% 15.96/11.18 ((~((~v39(constB165)) <=> v1(constB165))) | v39(constB165) | v1(constB165)),
% 15.96/11.18 inference(tautology,[status(thm)],[])).
% 15.96/11.18 tff(23682,plain,
% 15.96/11.18 ((~((~v39(constB165)) <=> v1(constB165))) | v39(constB165)),
% 15.96/11.18 inference(unit_resolution,[status(thm)],[23681, 20833])).
% 15.96/11.18 tff(23683,plain,
% 15.96/11.18 (v39(constB165)),
% 15.96/11.18 inference(unit_resolution,[status(thm)],[23682, 23680])).
% 15.96/11.18 tff(23684,plain,
% 15.96/11.18 ((~((~v39(constB165)) | (~v9(constB165)))) | (~v39(constB165)) | (~v9(constB165))),
% 15.96/11.18 inference(tautology,[status(thm)],[])).
% 15.96/11.18 tff(23685,plain,
% 15.96/11.18 ((~((~v39(constB165)) | (~v9(constB165)))) | (~v9(constB165))),
% 15.96/11.18 inference(unit_resolution,[status(thm)],[23684, 23683])).
% 15.96/11.18 tff(23686,plain,
% 15.96/11.18 (~((~v39(constB165)) | (~v9(constB165)))),
% 15.96/11.18 inference(unit_resolution,[status(thm)],[23685, 23678])).
% 15.96/11.18 tff(23687,plain,
% 15.96/11.18 ((~(v197(constB165) <=> (~((~v39(constB165)) | (~v9(constB165)))))) | v197(constB165) | ((~v39(constB165)) | (~v9(constB165)))),
% 15.96/11.18 inference(tautology,[status(thm)],[])).
% 15.96/11.18 tff(23688,plain,
% 15.96/11.18 (v197(constB165)),
% 15.96/11.18 inference(unit_resolution,[status(thm)],[23687, 23686, 23638])).
% 15.96/11.18 tff(23689,plain,
% 15.96/11.18 ((v197(constB165) | v26(constB165)) | (~v197(constB165))),
% 15.96/11.18 inference(tautology,[status(thm)],[])).
% 15.96/11.18 tff(23690,plain,
% 15.96/11.18 (v197(constB165) | v26(constB165)),
% 15.96/11.18 inference(unit_resolution,[status(thm)],[23689, 23688])).
% 15.96/11.18 tff(23691,plain,
% 15.96/11.18 ((~(v196(constB165) <=> (v197(constB165) | v26(constB165)))) | v196(constB165) | (~(v197(constB165) | v26(constB165)))),
% 15.96/11.18 inference(tautology,[status(thm)],[])).
% 15.96/11.18 tff(23692,plain,
% 15.96/11.18 (v196(constB165)),
% 15.96/11.18 inference(unit_resolution,[status(thm)],[23691, 23690, 23636])).
% 15.96/11.18 tff(23693,plain,
% 15.96/11.18 ((~((~v195(constB165)) <=> v196(constB165))) | (~v195(constB165)) | (~v196(constB165))),
% 15.96/11.18 inference(tautology,[status(thm)],[])).
% 15.96/11.18 tff(23694,plain,
% 15.96/11.18 (~v195(constB165)),
% 15.96/11.18 inference(unit_resolution,[status(thm)],[23693, 23692, 23634])).
% 15.96/11.18 tff(23695,plain,
% 15.96/11.18 (((~v157(constB165)) | (~v195(constB165))) | v195(constB165)),
% 15.96/11.18 inference(tautology,[status(thm)],[])).
% 15.96/11.18 tff(23696,plain,
% 15.96/11.18 ((~v157(constB165)) | (~v195(constB165))),
% 15.96/11.18 inference(unit_resolution,[status(thm)],[23695, 23694])).
% 15.96/11.18 tff(23697,plain,
% 15.96/11.18 ((~(v194(constB165) <=> (~((~v157(constB165)) | (~v195(constB165)))))) | (~v194(constB165)) | (~((~v157(constB165)) | (~v195(constB165))))),
% 15.96/11.18 inference(tautology,[status(thm)],[])).
% 15.96/11.18 tff(23698,plain,
% 15.96/11.18 (~v194(constB165)),
% 15.96/11.18 inference(unit_resolution,[status(thm)],[23697, 23696, 23632])).
% 15.96/11.18 tff(23699,plain,
% 15.96/11.18 ((~![VarCurr: $i] : (v198(VarCurr) <=> (~((~v199(VarCurr)) | (~v200(VarCurr)))))) | (v198(constB165) <=> (~((~v199(constB165)) | (~v200(constB165)))))),
% 15.96/11.18 inference(quant_inst,[status(thm)],[])).
% 15.96/11.18 tff(23700,plain,
% 15.96/11.18 (v198(constB165) <=> (~((~v199(constB165)) | (~v200(constB165))))),
% 15.96/11.18 inference(unit_resolution,[status(thm)],[23699, 96])).
% 15.96/11.18 tff(23701,plain,
% 15.96/11.18 ((~![VarCurr: $i] : (v200(VarCurr) <=> (~((~v197(VarCurr)) | (~v201(VarCurr)))))) | (v200(constB165) <=> (~((~v197(constB165)) | (~v201(constB165)))))),
% 15.96/11.18 inference(quant_inst,[status(thm)],[])).
% 15.96/11.18 tff(23702,plain,
% 15.96/11.18 (v200(constB165) <=> (~((~v197(constB165)) | (~v201(constB165))))),
% 15.96/11.18 inference(unit_resolution,[status(thm)],[23701, 108])).
% 15.96/11.18 tff(23703,plain,
% 15.96/11.18 ((~![VarCurr: $i] : (v201(VarCurr) <=> (~((~v159(VarCurr)) | (~v161(VarCurr)))))) | (v201(constB165) <=> (~((~v159(constB165)) | (~v161(constB165)))))),
% 15.96/11.18 inference(quant_inst,[status(thm)],[])).
% 15.96/11.18 tff(23704,plain,
% 15.96/11.18 (v201(constB165) <=> (~((~v159(constB165)) | (~v161(constB165))))),
% 15.96/11.18 inference(unit_resolution,[status(thm)],[23703, 348])).
% 15.96/11.18 tff(23705,plain,
% 15.96/11.18 ((~![VarCurr: $i] : (v161(VarCurr) <=> v163(VarCurr))) | (v161(constB165) <=> v163(constB165))),
% 15.96/11.18 inference(quant_inst,[status(thm)],[])).
% 15.96/11.18 tff(23706,plain,
% 15.96/11.18 (v161(constB165) <=> v163(constB165)),
% 15.96/11.18 inference(unit_resolution,[status(thm)],[23705, 357])).
% 15.96/11.18 tff(23707,plain,
% 15.96/11.18 ((~![VarCurr: $i] : (v171(VarCurr) <=> (v142(VarCurr) | v150(VarCurr)))) | (v171(constB165) <=> (v142(constB165) | v150(constB165)))),
% 15.96/11.18 inference(quant_inst,[status(thm)],[])).
% 15.96/11.18 tff(23708,plain,
% 15.96/11.18 (v171(constB165) <=> (v142(constB165) | v150(constB165))),
% 15.96/11.18 inference(unit_resolution,[status(thm)],[23707, 369])).
% 15.96/11.18 tff(23709,plain,
% 15.96/11.18 ((~![VarCurr: $i] : (v142(VarCurr) <=> (v143(VarCurr) | v144(VarCurr)))) | (v142(constB165) <=> (v143(constB165) | v144(constB165)))),
% 15.96/11.18 inference(quant_inst,[status(thm)],[])).
% 15.96/11.18 tff(23710,plain,
% 15.96/11.18 (v142(constB165) <=> (v143(constB165) | v144(constB165))),
% 15.96/11.18 inference(unit_resolution,[status(thm)],[23709, 378])).
% 15.96/11.18 tff(23711,plain,
% 15.96/11.18 (((~![VarCurr: $i] : (v144(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex2)))))) | (v144(constB165) <=> (~((~v88(constB165, bitIndex2)) | (~v88(constB165, bitIndex1)) | v88(constB165, bitIndex0))))) <=> ((~![VarCurr: $i] : (v144(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex2)))))) | (v144(constB165) <=> (~((~v88(constB165, bitIndex2)) | (~v88(constB165, bitIndex1)) | v88(constB165, bitIndex0)))))),
% 15.96/11.18 inference(rewrite,[status(thm)],[])).
% 15.96/11.18 tff(23712,plain,
% 15.96/11.18 ((v144(constB165) <=> (~(v88(constB165, bitIndex0) | (~v88(constB165, bitIndex1)) | (~v88(constB165, bitIndex2))))) <=> (v144(constB165) <=> (~((~v88(constB165, bitIndex2)) | (~v88(constB165, bitIndex1)) | v88(constB165, bitIndex0))))),
% 15.96/11.18 inference(rewrite,[status(thm)],[])).
% 15.96/11.18 tff(23713,plain,
% 15.96/11.18 (((~![VarCurr: $i] : (v144(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex2)))))) | (v144(constB165) <=> (~(v88(constB165, bitIndex0) | (~v88(constB165, bitIndex1)) | (~v88(constB165, bitIndex2)))))) <=> ((~![VarCurr: $i] : (v144(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex2)))))) | (v144(constB165) <=> (~((~v88(constB165, bitIndex2)) | (~v88(constB165, bitIndex1)) | v88(constB165, bitIndex0)))))),
% 15.96/11.18 inference(monotonicity,[status(thm)],[23712])).
% 15.96/11.18 tff(23714,plain,
% 15.96/11.18 (((~![VarCurr: $i] : (v144(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex2)))))) | (v144(constB165) <=> (~(v88(constB165, bitIndex0) | (~v88(constB165, bitIndex1)) | (~v88(constB165, bitIndex2)))))) <=> ((~![VarCurr: $i] : (v144(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex2)))))) | (v144(constB165) <=> (~((~v88(constB165, bitIndex2)) | (~v88(constB165, bitIndex1)) | v88(constB165, bitIndex0)))))),
% 15.96/11.18 inference(transitivity,[status(thm)],[23713, 23711])).
% 15.96/11.18 tff(23715,plain,
% 15.96/11.18 ((~![VarCurr: $i] : (v144(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex2)))))) | (v144(constB165) <=> (~(v88(constB165, bitIndex0) | (~v88(constB165, bitIndex1)) | (~v88(constB165, bitIndex2)))))),
% 15.96/11.18 inference(quant_inst,[status(thm)],[])).
% 15.96/11.18 tff(23716,plain,
% 15.96/11.18 ((~![VarCurr: $i] : (v144(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex2)))))) | (v144(constB165) <=> (~((~v88(constB165, bitIndex2)) | (~v88(constB165, bitIndex1)) | v88(constB165, bitIndex0))))),
% 15.96/11.18 inference(modus_ponens,[status(thm)],[23715, 23714])).
% 15.96/11.18 tff(23717,plain,
% 15.96/11.18 (v144(constB165) <=> (~((~v88(constB165, bitIndex2)) | (~v88(constB165, bitIndex1)) | v88(constB165, bitIndex0)))),
% 15.96/11.18 inference(unit_resolution,[status(thm)],[23716, 393])).
% 15.96/11.18 tff(23718,plain,
% 15.96/11.18 (((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | ((~less_3(bitIndex2)) | (v88(constB165, bitIndex2) <=> v90(constB165, bitIndex2)))) <=> ((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | (~less_3(bitIndex2)) | (v88(constB165, bitIndex2) <=> v90(constB165, bitIndex2)))),
% 15.96/11.18 inference(rewrite,[status(thm)],[])).
% 15.96/11.18 tff(23719,plain,
% 15.96/11.18 ((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | ((~less_3(bitIndex2)) | (v88(constB165, bitIndex2) <=> v90(constB165, bitIndex2)))),
% 15.96/11.18 inference(quant_inst,[status(thm)],[])).
% 15.96/11.18 tff(23720,plain,
% 15.96/11.18 ((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | (~less_3(bitIndex2)) | (v88(constB165, bitIndex2) <=> v90(constB165, bitIndex2))),
% 15.96/11.18 inference(modus_ponens,[status(thm)],[23719, 23718])).
% 15.96/11.18 tff(23721,plain,
% 15.96/11.18 (v88(constB165, bitIndex2) <=> v90(constB165, bitIndex2)),
% 15.96/11.18 inference(unit_resolution,[status(thm)],[23720, 413, 410])).
% 15.96/11.18 tff(23722,plain,
% 15.96/11.18 ((~(v88(constB165, bitIndex2) <=> v90(constB165, bitIndex2))) | v88(constB165, bitIndex2) | (~v90(constB165, bitIndex2))),
% 15.96/11.18 inference(tautology,[status(thm)],[])).
% 15.96/11.18 tff(23723,plain,
% 15.96/11.18 (v88(constB165, bitIndex2)),
% 15.96/11.18 inference(unit_resolution,[status(thm)],[23722, 23063, 23721])).
% 15.96/11.18 tff(23724,plain,
% 15.96/11.18 (((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | ((~less_3(bitIndex0)) | (v88(constB165, bitIndex0) <=> v90(constB165, bitIndex0)))) <=> ((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | (~less_3(bitIndex0)) | (v88(constB165, bitIndex0) <=> v90(constB165, bitIndex0)))),
% 15.96/11.18 inference(rewrite,[status(thm)],[])).
% 15.96/11.18 tff(23725,plain,
% 15.96/11.18 ((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | ((~less_3(bitIndex0)) | (v88(constB165, bitIndex0) <=> v90(constB165, bitIndex0)))),
% 15.96/11.18 inference(quant_inst,[status(thm)],[])).
% 15.96/11.18 tff(23726,plain,
% 15.96/11.18 ((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | (~less_3(bitIndex0)) | (v88(constB165, bitIndex0) <=> v90(constB165, bitIndex0))),
% 15.96/11.18 inference(modus_ponens,[status(thm)],[23725, 23724])).
% 15.96/11.18 tff(23727,plain,
% 15.96/11.18 (v88(constB165, bitIndex0) <=> v90(constB165, bitIndex0)),
% 15.96/11.18 inference(unit_resolution,[status(thm)],[23726, 5004, 410])).
% 15.96/11.18 tff(23728,plain,
% 15.96/11.18 ((~(v88(constB165, bitIndex0) <=> v90(constB165, bitIndex0))) | (~v88(constB165, bitIndex0)) | v90(constB165, bitIndex0)),
% 15.96/11.18 inference(tautology,[status(thm)],[])).
% 15.96/11.19 tff(23729,plain,
% 15.96/11.19 (~v88(constB165, bitIndex0)),
% 15.96/11.19 inference(unit_resolution,[status(thm)],[23728, 23094, 23727])).
% 15.96/11.19 tff(23730,plain,
% 15.96/11.19 (((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | ((~less_3(bitIndex1)) | (v88(constB165, bitIndex1) <=> v90(constB165, bitIndex1)))) <=> ((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | (~less_3(bitIndex1)) | (v88(constB165, bitIndex1) <=> v90(constB165, bitIndex1)))),
% 15.96/11.19 inference(rewrite,[status(thm)],[])).
% 15.96/11.19 tff(23731,plain,
% 15.96/11.19 ((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | ((~less_3(bitIndex1)) | (v88(constB165, bitIndex1) <=> v90(constB165, bitIndex1)))),
% 15.96/11.19 inference(quant_inst,[status(thm)],[])).
% 15.96/11.19 tff(23732,plain,
% 15.96/11.19 ((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | (~less_3(bitIndex1)) | (v88(constB165, bitIndex1) <=> v90(constB165, bitIndex1))),
% 15.96/11.19 inference(modus_ponens,[status(thm)],[23731, 23730])).
% 15.96/11.19 tff(23733,plain,
% 15.96/11.19 (v88(constB165, bitIndex1) <=> v90(constB165, bitIndex1)),
% 15.96/11.19 inference(unit_resolution,[status(thm)],[23732, 5017, 410])).
% 15.96/11.19 tff(23734,plain,
% 15.96/11.19 ((~(v88(constB165, bitIndex1) <=> v90(constB165, bitIndex1))) | v88(constB165, bitIndex1) | (~v90(constB165, bitIndex1))),
% 15.96/11.19 inference(tautology,[status(thm)],[])).
% 15.96/11.19 tff(23735,plain,
% 15.96/11.19 (v88(constB165, bitIndex1)),
% 15.96/11.19 inference(unit_resolution,[status(thm)],[23734, 23125, 23733])).
% 15.96/11.19 tff(23736,plain,
% 15.96/11.19 ((~((~v88(constB165, bitIndex2)) | (~v88(constB165, bitIndex1)) | v88(constB165, bitIndex0))) | (~v88(constB165, bitIndex2)) | (~v88(constB165, bitIndex1)) | v88(constB165, bitIndex0)),
% 15.96/11.19 inference(tautology,[status(thm)],[])).
% 15.96/11.19 tff(23737,plain,
% 15.96/11.19 (~((~v88(constB165, bitIndex2)) | (~v88(constB165, bitIndex1)) | v88(constB165, bitIndex0))),
% 15.96/11.19 inference(unit_resolution,[status(thm)],[23736, 23735, 23729, 23723])).
% 15.96/11.19 tff(23738,plain,
% 15.96/11.19 ((~(v144(constB165) <=> (~((~v88(constB165, bitIndex2)) | (~v88(constB165, bitIndex1)) | v88(constB165, bitIndex0))))) | v144(constB165) | ((~v88(constB165, bitIndex2)) | (~v88(constB165, bitIndex1)) | v88(constB165, bitIndex0))),
% 15.96/11.19 inference(tautology,[status(thm)],[])).
% 15.96/11.19 tff(23739,plain,
% 15.96/11.19 (v144(constB165)),
% 15.96/11.19 inference(unit_resolution,[status(thm)],[23738, 23737, 23717])).
% 15.96/11.19 tff(23740,plain,
% 15.96/11.19 ((v143(constB165) | v144(constB165)) | (~v144(constB165))),
% 15.96/11.19 inference(tautology,[status(thm)],[])).
% 15.96/11.19 tff(23741,plain,
% 15.96/11.19 (v143(constB165) | v144(constB165)),
% 15.96/11.19 inference(unit_resolution,[status(thm)],[23740, 23739])).
% 15.96/11.19 tff(23742,plain,
% 15.96/11.19 ((~(v142(constB165) <=> (v143(constB165) | v144(constB165)))) | v142(constB165) | (~(v143(constB165) | v144(constB165)))),
% 15.96/11.19 inference(tautology,[status(thm)],[])).
% 15.96/11.19 tff(23743,plain,
% 15.96/11.19 (v142(constB165)),
% 15.96/11.19 inference(unit_resolution,[status(thm)],[23742, 23741, 23710])).
% 15.96/11.19 tff(23744,plain,
% 15.96/11.19 ((v142(constB165) | v150(constB165)) | (~v142(constB165))),
% 15.96/11.19 inference(tautology,[status(thm)],[])).
% 15.96/11.19 tff(23745,plain,
% 15.96/11.19 (v142(constB165) | v150(constB165)),
% 15.96/11.19 inference(unit_resolution,[status(thm)],[23744, 23743])).
% 15.96/11.19 tff(23746,plain,
% 15.96/11.19 ((~(v171(constB165) <=> (v142(constB165) | v150(constB165)))) | v171(constB165) | (~(v142(constB165) | v150(constB165)))),
% 15.96/11.19 inference(tautology,[status(thm)],[])).
% 15.96/11.19 tff(23747,plain,
% 15.96/11.19 (v171(constB165)),
% 15.96/11.19 inference(unit_resolution,[status(thm)],[23746, 23745, 23708])).
% 15.96/11.19 tff(23748,plain,
% 15.96/11.19 (((~![VarCurr: $i] : ((~v171(VarCurr)) | (~v170(VarCurr)))) | ((~v170(constB165)) | (~v171(constB165)))) <=> ((~![VarCurr: $i] : ((~v171(VarCurr)) | (~v170(VarCurr)))) | (~v170(constB165)) | (~v171(constB165)))),
% 15.96/11.19 inference(rewrite,[status(thm)],[])).
% 15.96/11.19 tff(23749,plain,
% 15.96/11.19 (((~v171(constB165)) | (~v170(constB165))) <=> ((~v170(constB165)) | (~v171(constB165)))),
% 15.96/11.19 inference(rewrite,[status(thm)],[])).
% 15.96/11.19 tff(23750,plain,
% 15.96/11.19 (((~![VarCurr: $i] : ((~v171(VarCurr)) | (~v170(VarCurr)))) | ((~v171(constB165)) | (~v170(constB165)))) <=> ((~![VarCurr: $i] : ((~v171(VarCurr)) | (~v170(VarCurr)))) | ((~v170(constB165)) | (~v171(constB165))))),
% 15.96/11.19 inference(monotonicity,[status(thm)],[23749])).
% 15.96/11.19 tff(23751,plain,
% 15.96/11.19 (((~![VarCurr: $i] : ((~v171(VarCurr)) | (~v170(VarCurr)))) | ((~v171(constB165)) | (~v170(constB165)))) <=> ((~![VarCurr: $i] : ((~v171(VarCurr)) | (~v170(VarCurr)))) | (~v170(constB165)) | (~v171(constB165)))),
% 15.96/11.19 inference(transitivity,[status(thm)],[23750, 23748])).
% 15.96/11.19 tff(23752,plain,
% 15.96/11.19 ((~![VarCurr: $i] : ((~v171(VarCurr)) | (~v170(VarCurr)))) | ((~v171(constB165)) | (~v170(constB165)))),
% 15.96/11.19 inference(quant_inst,[status(thm)],[])).
% 15.96/11.19 tff(23753,plain,
% 15.96/11.19 ((~![VarCurr: $i] : ((~v171(VarCurr)) | (~v170(VarCurr)))) | (~v170(constB165)) | (~v171(constB165))),
% 15.96/11.19 inference(modus_ponens,[status(thm)],[23752, 23751])).
% 15.96/11.19 tff(23754,plain,
% 15.96/11.19 ((~v170(constB165)) | (~v171(constB165))),
% 15.96/11.19 inference(unit_resolution,[status(thm)],[23753, 13061])).
% 15.96/11.19 tff(23755,plain,
% 15.96/11.19 (~v170(constB165)),
% 15.96/11.19 inference(unit_resolution,[status(thm)],[23754, 23747])).
% 15.96/11.19 tff(23756,plain,
% 15.96/11.19 ((~![VarCurr: $i] : (v166(VarCurr) <=> (v145(VarCurr) | v167(VarCurr)))) | (v166(constB165) <=> (v145(constB165) | v167(constB165)))),
% 15.96/11.19 inference(quant_inst,[status(thm)],[])).
% 15.96/11.19 tff(23757,plain,
% 15.96/11.19 (v166(constB165) <=> (v145(constB165) | v167(constB165))),
% 15.96/11.19 inference(unit_resolution,[status(thm)],[23756, 13079])).
% 15.96/11.19 tff(23758,plain,
% 15.96/11.19 ((~![VarCurr: $i] : (v167(VarCurr) <=> (v142(VarCurr) | v168(VarCurr)))) | (v167(constB165) <=> (v142(constB165) | v168(constB165)))),
% 15.96/11.19 inference(quant_inst,[status(thm)],[])).
% 15.96/11.19 tff(23759,plain,
% 15.96/11.19 (v167(constB165) <=> (v142(constB165) | v168(constB165))),
% 15.96/11.19 inference(unit_resolution,[status(thm)],[23758, 13091])).
% 15.96/11.19 tff(23760,plain,
% 15.96/11.19 ((v142(constB165) | v168(constB165)) | (~v142(constB165))),
% 15.96/11.19 inference(tautology,[status(thm)],[])).
% 15.96/11.19 tff(23761,plain,
% 15.96/11.19 (v142(constB165) | v168(constB165)),
% 15.96/11.19 inference(unit_resolution,[status(thm)],[23760, 23743])).
% 15.96/11.19 tff(23762,plain,
% 15.96/11.19 ((~(v167(constB165) <=> (v142(constB165) | v168(constB165)))) | v167(constB165) | (~(v142(constB165) | v168(constB165)))),
% 15.96/11.19 inference(tautology,[status(thm)],[])).
% 15.96/11.19 tff(23763,plain,
% 15.96/11.19 (v167(constB165)),
% 15.96/11.19 inference(unit_resolution,[status(thm)],[23762, 23761, 23759])).
% 15.96/11.19 tff(23764,plain,
% 15.96/11.19 ((v145(constB165) | v167(constB165)) | (~v167(constB165))),
% 15.96/11.19 inference(tautology,[status(thm)],[])).
% 15.96/11.19 tff(23765,plain,
% 15.96/11.19 (v145(constB165) | v167(constB165)),
% 15.96/11.19 inference(unit_resolution,[status(thm)],[23764, 23763])).
% 15.96/11.19 tff(23766,plain,
% 15.96/11.19 ((~(v166(constB165) <=> (v145(constB165) | v167(constB165)))) | v166(constB165) | (~(v145(constB165) | v167(constB165)))),
% 15.96/11.19 inference(tautology,[status(thm)],[])).
% 15.96/11.19 tff(23767,plain,
% 15.96/11.19 (v166(constB165)),
% 15.96/11.19 inference(unit_resolution,[status(thm)],[23766, 23765, 23757])).
% 15.96/11.19 tff(23768,plain,
% 15.96/11.19 (((~![VarNext: $i] : ((~v166(VarNext)) | (v163(VarNext) <=> v170(VarNext)))) | ((~v166(constB165)) | (v163(constB165) <=> v170(constB165)))) <=> ((~![VarNext: $i] : ((~v166(VarNext)) | (v163(VarNext) <=> v170(VarNext)))) | (~v166(constB165)) | (v163(constB165) <=> v170(constB165)))),
% 15.96/11.19 inference(rewrite,[status(thm)],[])).
% 15.96/11.19 tff(23769,plain,
% 15.96/11.19 ((~![VarNext: $i] : ((~v166(VarNext)) | (v163(VarNext) <=> v170(VarNext)))) | ((~v166(constB165)) | (v163(constB165) <=> v170(constB165)))),
% 15.96/11.19 inference(quant_inst,[status(thm)],[])).
% 15.96/11.19 tff(23770,plain,
% 15.96/11.19 ((~![VarNext: $i] : ((~v166(VarNext)) | (v163(VarNext) <=> v170(VarNext)))) | (~v166(constB165)) | (v163(constB165) <=> v170(constB165))),
% 15.96/11.19 inference(modus_ponens,[status(thm)],[23769, 23768])).
% 15.96/11.19 tff(23771,plain,
% 15.96/11.19 ((~v166(constB165)) | (v163(constB165) <=> v170(constB165))),
% 15.96/11.19 inference(unit_resolution,[status(thm)],[23770, 13111])).
% 15.96/11.19 tff(23772,plain,
% 15.96/11.19 (v163(constB165) <=> v170(constB165)),
% 15.96/11.19 inference(unit_resolution,[status(thm)],[23771, 23767])).
% 15.96/11.19 tff(23773,plain,
% 15.96/11.19 ((~(v163(constB165) <=> v170(constB165))) | (~v163(constB165)) | v170(constB165)),
% 15.96/11.19 inference(tautology,[status(thm)],[])).
% 15.96/11.19 tff(23774,plain,
% 15.96/11.19 (~v163(constB165)),
% 15.96/11.19 inference(unit_resolution,[status(thm)],[23773, 23772, 23755])).
% 15.96/11.19 tff(23775,plain,
% 15.96/11.19 ((~(v161(constB165) <=> v163(constB165))) | (~v161(constB165)) | v163(constB165)),
% 15.96/11.19 inference(tautology,[status(thm)],[])).
% 15.96/11.19 tff(23776,plain,
% 15.96/11.19 (~v161(constB165)),
% 15.96/11.19 inference(unit_resolution,[status(thm)],[23775, 23774, 23706])).
% 15.96/11.19 tff(23777,plain,
% 15.96/11.19 (((~v159(constB165)) | (~v161(constB165))) | v161(constB165)),
% 15.96/11.19 inference(tautology,[status(thm)],[])).
% 15.96/11.19 tff(23778,plain,
% 15.96/11.19 ((~v159(constB165)) | (~v161(constB165))),
% 15.96/11.19 inference(unit_resolution,[status(thm)],[23777, 23776])).
% 15.96/11.19 tff(23779,plain,
% 15.96/11.19 ((~(v201(constB165) <=> (~((~v159(constB165)) | (~v161(constB165)))))) | (~v201(constB165)) | (~((~v159(constB165)) | (~v161(constB165))))),
% 15.96/11.19 inference(tautology,[status(thm)],[])).
% 15.96/11.19 tff(23780,plain,
% 15.96/11.19 (~v201(constB165)),
% 15.96/11.19 inference(unit_resolution,[status(thm)],[23779, 23778, 23704])).
% 15.96/11.19 tff(23781,plain,
% 15.96/11.19 (((~v197(constB165)) | (~v201(constB165))) | v201(constB165)),
% 15.96/11.19 inference(tautology,[status(thm)],[])).
% 15.96/11.19 tff(23782,plain,
% 15.96/11.19 ((~v197(constB165)) | (~v201(constB165))),
% 15.96/11.19 inference(unit_resolution,[status(thm)],[23781, 23780])).
% 15.96/11.19 tff(23783,plain,
% 15.96/11.19 ((~(v200(constB165) <=> (~((~v197(constB165)) | (~v201(constB165)))))) | (~v200(constB165)) | (~((~v197(constB165)) | (~v201(constB165))))),
% 15.96/11.19 inference(tautology,[status(thm)],[])).
% 15.96/11.19 tff(23784,plain,
% 15.96/11.19 (~v200(constB165)),
% 15.96/11.19 inference(unit_resolution,[status(thm)],[23783, 23782, 23702])).
% 15.96/11.19 tff(23785,plain,
% 15.96/11.19 (((~v199(constB165)) | (~v200(constB165))) | v200(constB165)),
% 15.96/11.19 inference(tautology,[status(thm)],[])).
% 15.96/11.19 tff(23786,plain,
% 15.96/11.19 ((~v199(constB165)) | (~v200(constB165))),
% 15.96/11.19 inference(unit_resolution,[status(thm)],[23785, 23784])).
% 15.96/11.19 tff(23787,plain,
% 15.96/11.19 ((~(v198(constB165) <=> (~((~v199(constB165)) | (~v200(constB165)))))) | (~v198(constB165)) | (~((~v199(constB165)) | (~v200(constB165))))),
% 15.96/11.19 inference(tautology,[status(thm)],[])).
% 15.96/11.19 tff(23788,plain,
% 15.96/11.19 (~v198(constB165)),
% 15.96/11.19 inference(unit_resolution,[status(thm)],[23787, 23786, 23700])).
% 15.96/11.19 tff(23789,plain,
% 15.96/11.19 ((~(v194(constB165) | v198(constB165))) | v194(constB165) | v198(constB165)),
% 15.96/11.19 inference(tautology,[status(thm)],[])).
% 15.96/11.19 tff(23790,plain,
% 15.96/11.19 (~(v194(constB165) | v198(constB165))),
% 15.96/11.19 inference(unit_resolution,[status(thm)],[23789, 23788, 23698])).
% 15.96/11.19 tff(23791,plain,
% 15.96/11.19 ((~(v191(constB165) <=> (v194(constB165) | v198(constB165)))) | (~v191(constB165)) | (v194(constB165) | v198(constB165))),
% 15.96/11.19 inference(tautology,[status(thm)],[])).
% 15.96/11.19 tff(23792,plain,
% 15.96/11.19 (~v191(constB165)),
% 15.96/11.19 inference(unit_resolution,[status(thm)],[23791, 23790, 23625])).
% 15.96/11.19 tff(23793,plain,
% 15.96/11.19 ((~(v193(constB166) <=> v191(constB165))) | (~v193(constB166)) | v191(constB165)),
% 15.96/11.19 inference(tautology,[status(thm)],[])).
% 15.96/11.19 tff(23794,plain,
% 15.96/11.19 (~v193(constB166)),
% 15.96/11.19 inference(unit_resolution,[status(thm)],[23793, 23792, 23623])).
% 15.96/11.19 tff(23795,plain,
% 15.96/11.19 ((~(v157(constB166) <=> v193(constB166))) | (~v157(constB166)) | v193(constB166)),
% 15.96/11.19 inference(tautology,[status(thm)],[])).
% 15.96/11.19 tff(23796,plain,
% 15.96/11.19 (~v157(constB166)),
% 15.96/11.19 inference(unit_resolution,[status(thm)],[23795, 23794, 23619])).
% 15.96/11.19 tff(23797,plain,
% 15.96/11.19 (((~v157(constB166)) | (~v195(constB166))) | v157(constB166)),
% 15.96/11.19 inference(tautology,[status(thm)],[])).
% 15.96/11.19 tff(23798,plain,
% 15.96/11.19 ((~v157(constB166)) | (~v195(constB166))),
% 15.96/11.19 inference(unit_resolution,[status(thm)],[23797, 23796])).
% 15.96/11.19 tff(23799,plain,
% 15.96/11.19 ((~(v194(constB166) <=> (~((~v157(constB166)) | (~v195(constB166)))))) | (~v194(constB166)) | (~((~v157(constB166)) | (~v195(constB166))))),
% 15.96/11.19 inference(tautology,[status(thm)],[])).
% 15.96/11.19 tff(23800,plain,
% 15.96/11.19 (~v194(constB166)),
% 15.96/11.19 inference(unit_resolution,[status(thm)],[23799, 23798, 23617])).
% 15.96/11.19 tff(23801,plain,
% 15.96/11.19 ((~(v194(constB166) | v198(constB166))) | v194(constB166) | v198(constB166)),
% 15.96/11.19 inference(tautology,[status(thm)],[])).
% 15.96/11.19 tff(23802,plain,
% 15.96/11.19 (~(v194(constB166) | v198(constB166))),
% 15.96/11.19 inference(unit_resolution,[status(thm)],[23801, 23800, 23610])).
% 15.96/11.19 tff(23803,plain,
% 15.96/11.19 ((~(v191(constB166) <=> (v194(constB166) | v198(constB166)))) | (~v191(constB166)) | (v194(constB166) | v198(constB166))),
% 15.96/11.19 inference(tautology,[status(thm)],[])).
% 15.96/11.19 tff(23804,plain,
% 15.96/11.19 (~v191(constB166)),
% 15.96/11.19 inference(unit_resolution,[status(thm)],[23803, 23802, 23585])).
% 15.96/11.19 tff(23805,plain,
% 15.96/11.19 ((~(v193(constB167) <=> v191(constB166))) | (~v193(constB167)) | v191(constB166)),
% 15.96/11.19 inference(tautology,[status(thm)],[])).
% 15.96/11.19 tff(23806,plain,
% 15.96/11.19 (~v193(constB167)),
% 15.96/11.19 inference(unit_resolution,[status(thm)],[23805, 23804, 23583])).
% 15.96/11.19 tff(23807,plain,
% 15.96/11.19 ($false),
% 15.96/11.19 inference(unit_resolution,[status(thm)],[23806, 23579])).
% 15.96/11.19 tff(23808,plain,(~(constB167 = VarCurr!0)), inference(lemma,lemma(discharge,[]))).
% 15.96/11.19 tff(23809,assumption,(constB195 = VarCurr!0), introduced(assumption)).
% 15.96/11.19 tff(23810,plain,
% 15.96/11.19 (v86(constB195) <=> v86(VarCurr!0)),
% 15.96/11.19 inference(monotonicity,[status(thm)],[23809])).
% 15.96/11.19 tff(23811,plain,
% 15.96/11.19 (v86(VarCurr!0) <=> v86(constB195)),
% 15.96/11.19 inference(symmetry,[status(thm)],[23810])).
% 15.96/11.19 tff(23812,plain,
% 15.96/11.19 ((~v86(VarCurr!0)) <=> (~v86(constB195))),
% 15.96/11.19 inference(monotonicity,[status(thm)],[23811])).
% 15.96/11.19 tff(23813,plain,
% 15.96/11.19 (~v86(constB195)),
% 15.96/11.19 inference(modus_ponens,[status(thm)],[20649, 23812])).
% 15.96/11.19 tff(23814,plain,
% 15.96/11.19 ((~![VarCurr: $i] : (v142(VarCurr) <=> (v143(VarCurr) | v144(VarCurr)))) | (v142(constB195) <=> (v143(constB195) | v144(constB195)))),
% 15.96/11.19 inference(quant_inst,[status(thm)],[])).
% 15.96/11.19 tff(23815,plain,
% 15.96/11.19 (v142(constB195) <=> (v143(constB195) | v144(constB195))),
% 15.96/11.19 inference(unit_resolution,[status(thm)],[23814, 378])).
% 15.96/11.19 tff(23816,plain,
% 15.96/11.19 (((~![VarCurr: $i] : (v144(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex2)))))) | (v144(constB195) <=> (~((~v88(constB195, bitIndex2)) | (~v88(constB195, bitIndex1)) | v88(constB195, bitIndex0))))) <=> ((~![VarCurr: $i] : (v144(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex2)))))) | (v144(constB195) <=> (~((~v88(constB195, bitIndex2)) | (~v88(constB195, bitIndex1)) | v88(constB195, bitIndex0)))))),
% 15.96/11.19 inference(rewrite,[status(thm)],[])).
% 15.96/11.19 tff(23817,plain,
% 15.96/11.19 ((v144(constB195) <=> (~(v88(constB195, bitIndex0) | (~v88(constB195, bitIndex1)) | (~v88(constB195, bitIndex2))))) <=> (v144(constB195) <=> (~((~v88(constB195, bitIndex2)) | (~v88(constB195, bitIndex1)) | v88(constB195, bitIndex0))))),
% 15.96/11.19 inference(rewrite,[status(thm)],[])).
% 15.96/11.19 tff(23818,plain,
% 15.96/11.19 (((~![VarCurr: $i] : (v144(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex2)))))) | (v144(constB195) <=> (~(v88(constB195, bitIndex0) | (~v88(constB195, bitIndex1)) | (~v88(constB195, bitIndex2)))))) <=> ((~![VarCurr: $i] : (v144(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex2)))))) | (v144(constB195) <=> (~((~v88(constB195, bitIndex2)) | (~v88(constB195, bitIndex1)) | v88(constB195, bitIndex0)))))),
% 15.96/11.19 inference(monotonicity,[status(thm)],[23817])).
% 15.96/11.19 tff(23819,plain,
% 15.96/11.19 (((~![VarCurr: $i] : (v144(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex2)))))) | (v144(constB195) <=> (~(v88(constB195, bitIndex0) | (~v88(constB195, bitIndex1)) | (~v88(constB195, bitIndex2)))))) <=> ((~![VarCurr: $i] : (v144(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex2)))))) | (v144(constB195) <=> (~((~v88(constB195, bitIndex2)) | (~v88(constB195, bitIndex1)) | v88(constB195, bitIndex0)))))),
% 15.96/11.19 inference(transitivity,[status(thm)],[23818, 23816])).
% 15.96/11.19 tff(23820,plain,
% 15.96/11.19 ((~![VarCurr: $i] : (v144(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex2)))))) | (v144(constB195) <=> (~(v88(constB195, bitIndex0) | (~v88(constB195, bitIndex1)) | (~v88(constB195, bitIndex2)))))),
% 15.96/11.19 inference(quant_inst,[status(thm)],[])).
% 15.96/11.19 tff(23821,plain,
% 15.96/11.19 ((~![VarCurr: $i] : (v144(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex2)))))) | (v144(constB195) <=> (~((~v88(constB195, bitIndex2)) | (~v88(constB195, bitIndex1)) | v88(constB195, bitIndex0))))),
% 15.96/11.19 inference(modus_ponens,[status(thm)],[23820, 23819])).
% 15.96/11.19 tff(23822,plain,
% 15.96/11.19 (v144(constB195) <=> (~((~v88(constB195, bitIndex2)) | (~v88(constB195, bitIndex1)) | v88(constB195, bitIndex0)))),
% 15.96/11.19 inference(unit_resolution,[status(thm)],[23821, 393])).
% 15.99/11.20 tff(23823,plain,
% 15.99/11.20 (((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | ((~less_3(bitIndex2)) | (v88(constB195, bitIndex2) <=> v90(constB195, bitIndex2)))) <=> ((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | (~less_3(bitIndex2)) | (v88(constB195, bitIndex2) <=> v90(constB195, bitIndex2)))),
% 15.99/11.20 inference(rewrite,[status(thm)],[])).
% 15.99/11.20 tff(23824,plain,
% 15.99/11.20 ((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | ((~less_3(bitIndex2)) | (v88(constB195, bitIndex2) <=> v90(constB195, bitIndex2)))),
% 15.99/11.20 inference(quant_inst,[status(thm)],[])).
% 15.99/11.20 tff(23825,plain,
% 15.99/11.20 ((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | (~less_3(bitIndex2)) | (v88(constB195, bitIndex2) <=> v90(constB195, bitIndex2))),
% 15.99/11.20 inference(modus_ponens,[status(thm)],[23824, 23823])).
% 15.99/11.20 tff(23826,plain,
% 15.99/11.20 (v88(constB195, bitIndex2) <=> v90(constB195, bitIndex2)),
% 15.99/11.20 inference(unit_resolution,[status(thm)],[23825, 413, 410])).
% 15.99/11.20 tff(23827,plain,
% 15.99/11.20 (nextState(constB194, constB195) <=> nextState(constB194, constB195)),
% 15.99/11.20 inference(rewrite,[status(thm)],[])).
% 15.99/11.20 tff(23828,axiom,(nextState(constB194, constB195)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_194')).
% 15.99/11.20 tff(23829,plain,
% 15.99/11.20 (nextState(constB194, constB195)),
% 15.99/11.20 inference(modus_ponens,[status(thm)],[23828, 23827])).
% 15.99/11.20 tff(23830,plain,
% 15.99/11.20 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB194, constB195)) | (v100(constB195) <=> (~((~v101(constB195)) | (~v110(constB195))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB194, constB195)) | (v100(constB195) <=> (~((~v101(constB195)) | (~v110(constB195))))))),
% 15.99/11.20 inference(rewrite,[status(thm)],[])).
% 15.99/11.20 tff(23831,plain,
% 15.99/11.20 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB194, constB195)) | (v100(constB195) <=> (~((~v101(constB195)) | (~v110(constB195))))))),
% 15.99/11.20 inference(quant_inst,[status(thm)],[])).
% 15.99/11.20 tff(23832,plain,
% 15.99/11.20 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB194, constB195)) | (v100(constB195) <=> (~((~v101(constB195)) | (~v110(constB195)))))),
% 15.99/11.20 inference(modus_ponens,[status(thm)],[23831, 23830])).
% 15.99/11.20 tff(23833,plain,
% 15.99/11.20 (v100(constB195) <=> (~((~v101(constB195)) | (~v110(constB195))))),
% 15.99/11.20 inference(unit_resolution,[status(thm)],[23832, 23829, 430])).
% 15.99/11.20 tff(23834,plain,
% 15.99/11.20 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB194, constB195)) | (v101(constB195) <=> (~((~v1(constB195)) | (~v102(constB195))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB194, constB195)) | (v101(constB195) <=> (~((~v1(constB195)) | (~v102(constB195))))))),
% 15.99/11.20 inference(rewrite,[status(thm)],[])).
% 15.99/11.20 tff(23835,plain,
% 15.99/11.20 (((~nextState(constB194, constB195)) | (v101(constB195) <=> (~((~v102(constB195)) | (~v1(constB195)))))) <=> ((~nextState(constB194, constB195)) | (v101(constB195) <=> (~((~v1(constB195)) | (~v102(constB195))))))),
% 15.99/11.20 inference(rewrite,[status(thm)],[])).
% 15.99/11.20 tff(23836,plain,
% 15.99/11.20 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB194, constB195)) | (v101(constB195) <=> (~((~v102(constB195)) | (~v1(constB195))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB194, constB195)) | (v101(constB195) <=> (~((~v1(constB195)) | (~v102(constB195)))))))),
% 15.99/11.20 inference(monotonicity,[status(thm)],[23835])).
% 15.99/11.20 tff(23837,plain,
% 15.99/11.20 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB194, constB195)) | (v101(constB195) <=> (~((~v102(constB195)) | (~v1(constB195))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB194, constB195)) | (v101(constB195) <=> (~((~v1(constB195)) | (~v102(constB195))))))),
% 15.99/11.20 inference(transitivity,[status(thm)],[23836, 23834])).
% 15.99/11.20 tff(23838,plain,
% 15.99/11.20 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB194, constB195)) | (v101(constB195) <=> (~((~v102(constB195)) | (~v1(constB195))))))),
% 15.99/11.20 inference(quant_inst,[status(thm)],[])).
% 15.99/11.20 tff(23839,plain,
% 15.99/11.20 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB194, constB195)) | (v101(constB195) <=> (~((~v1(constB195)) | (~v102(constB195)))))),
% 15.99/11.20 inference(modus_ponens,[status(thm)],[23838, 23837])).
% 15.99/11.20 tff(23840,plain,
% 15.99/11.20 (v101(constB195) <=> (~((~v1(constB195)) | (~v102(constB195))))),
% 15.99/11.20 inference(unit_resolution,[status(thm)],[23839, 23829, 450])).
% 15.99/11.20 tff(23841,plain,
% 15.99/11.20 ((~v1(constB195)) <=> (~v1(constB195))),
% 15.99/11.20 inference(rewrite,[status(thm)],[])).
% 15.99/11.20 tff(23842,axiom,(~v1(constB195)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_195')).
% 15.99/11.20 tff(23843,plain,
% 15.99/11.20 (~v1(constB195)),
% 15.99/11.20 inference(modus_ponens,[status(thm)],[23842, 23841])).
% 15.99/11.20 tff(23844,plain,
% 15.99/11.20 (((~v1(constB195)) | (~v102(constB195))) | v1(constB195)),
% 15.99/11.20 inference(tautology,[status(thm)],[])).
% 15.99/11.20 tff(23845,plain,
% 15.99/11.20 ((~v1(constB195)) | (~v102(constB195))),
% 15.99/11.20 inference(unit_resolution,[status(thm)],[23844, 23843])).
% 15.99/11.20 tff(23846,plain,
% 15.99/11.20 ((~(v101(constB195) <=> (~((~v1(constB195)) | (~v102(constB195)))))) | (~v101(constB195)) | (~((~v1(constB195)) | (~v102(constB195))))),
% 15.99/11.20 inference(tautology,[status(thm)],[])).
% 15.99/11.20 tff(23847,plain,
% 15.99/11.20 ((~(v101(constB195) <=> (~((~v1(constB195)) | (~v102(constB195)))))) | (~v101(constB195))),
% 15.99/11.20 inference(unit_resolution,[status(thm)],[23846, 23845])).
% 15.99/11.20 tff(23848,plain,
% 15.99/11.20 (~v101(constB195)),
% 15.99/11.20 inference(unit_resolution,[status(thm)],[23847, 23840])).
% 15.99/11.20 tff(23849,plain,
% 15.99/11.20 (((~v101(constB195)) | (~v110(constB195))) | v101(constB195)),
% 15.99/11.20 inference(tautology,[status(thm)],[])).
% 15.99/11.20 tff(23850,plain,
% 15.99/11.20 ((~v101(constB195)) | (~v110(constB195))),
% 15.99/11.20 inference(unit_resolution,[status(thm)],[23849, 23848])).
% 15.99/11.20 tff(23851,plain,
% 15.99/11.20 ((~(v100(constB195) <=> (~((~v101(constB195)) | (~v110(constB195)))))) | (~v100(constB195)) | (~((~v101(constB195)) | (~v110(constB195))))),
% 15.99/11.20 inference(tautology,[status(thm)],[])).
% 15.99/11.20 tff(23852,plain,
% 15.99/11.20 (~v100(constB195)),
% 15.99/11.20 inference(unit_resolution,[status(thm)],[23851, 23850, 23833])).
% 15.99/11.20 tff(23853,plain,
% 15.99/11.20 (((~![VarCurr: $i, VarNext: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v90(VarCurr, B))))) | (v100(constB195) | (~nextState(constB194, constB195)) | ![B: $i] : ((~less_3(B)) | (v90(constB195, B) <=> v90(constB194, B))))) <=> ((~![VarCurr: $i, VarNext: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v90(VarCurr, B))))) | v100(constB195) | (~nextState(constB194, constB195)) | ![B: $i] : ((~less_3(B)) | (v90(constB195, B) <=> v90(constB194, B))))),
% 15.99/11.20 inference(rewrite,[status(thm)],[])).
% 15.99/11.20 tff(23854,plain,
% 15.99/11.20 ((~![VarCurr: $i, VarNext: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v90(VarCurr, B))))) | (v100(constB195) | (~nextState(constB194, constB195)) | ![B: $i] : ((~less_3(B)) | (v90(constB195, B) <=> v90(constB194, B))))),
% 15.99/11.20 inference(quant_inst,[status(thm)],[])).
% 15.99/11.20 tff(23855,plain,
% 15.99/11.20 ((~![VarCurr: $i, VarNext: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v90(VarCurr, B))))) | v100(constB195) | (~nextState(constB194, constB195)) | ![B: $i] : ((~less_3(B)) | (v90(constB195, B) <=> v90(constB194, B)))),
% 15.99/11.20 inference(modus_ponens,[status(thm)],[23854, 23853])).
% 15.99/11.20 tff(23856,plain,
% 15.99/11.20 (v100(constB195) | ![B: $i] : ((~less_3(B)) | (v90(constB195, B) <=> v90(constB194, B)))),
% 15.99/11.20 inference(unit_resolution,[status(thm)],[23855, 23829, 479])).
% 15.99/11.20 tff(23857,plain,
% 15.99/11.20 (![B: $i] : ((~less_3(B)) | (v90(constB195, B) <=> v90(constB194, B)))),
% 15.99/11.20 inference(unit_resolution,[status(thm)],[23856, 23852])).
% 15.99/11.20 tff(23858,plain,
% 15.99/11.20 (((~![B: $i] : ((~less_3(B)) | (v90(constB195, B) <=> v90(constB194, B)))) | ((~less_3(bitIndex2)) | (v90(constB195, bitIndex2) <=> v90(constB194, bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v90(constB195, B) <=> v90(constB194, B)))) | (~less_3(bitIndex2)) | (v90(constB195, bitIndex2) <=> v90(constB194, bitIndex2)))),
% 15.99/11.20 inference(rewrite,[status(thm)],[])).
% 15.99/11.20 tff(23859,plain,
% 15.99/11.20 ((~![B: $i] : ((~less_3(B)) | (v90(constB195, B) <=> v90(constB194, B)))) | ((~less_3(bitIndex2)) | (v90(constB195, bitIndex2) <=> v90(constB194, bitIndex2)))),
% 15.99/11.20 inference(quant_inst,[status(thm)],[])).
% 15.99/11.20 tff(23860,plain,
% 15.99/11.20 ((~![B: $i] : ((~less_3(B)) | (v90(constB195, B) <=> v90(constB194, B)))) | (~less_3(bitIndex2)) | (v90(constB195, bitIndex2) <=> v90(constB194, bitIndex2))),
% 15.99/11.20 inference(modus_ponens,[status(thm)],[23859, 23858])).
% 15.99/11.20 tff(23861,plain,
% 15.99/11.20 (v90(constB195, bitIndex2) <=> v90(constB194, bitIndex2)),
% 15.99/11.20 inference(unit_resolution,[status(thm)],[23860, 413, 23857])).
% 15.99/11.20 tff(23862,plain,
% 15.99/11.20 (nextState(constB193, constB194) <=> nextState(constB193, constB194)),
% 15.99/11.20 inference(rewrite,[status(thm)],[])).
% 15.99/11.20 tff(23863,axiom,(nextState(constB193, constB194)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_193')).
% 15.99/11.20 tff(23864,plain,
% 15.99/11.20 (nextState(constB193, constB194)),
% 15.99/11.20 inference(modus_ponens,[status(thm)],[23863, 23862])).
% 15.99/11.20 tff(23865,plain,
% 15.99/11.20 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB193, constB194)) | (v100(constB194) <=> (~((~v101(constB194)) | (~v110(constB194))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB193, constB194)) | (v100(constB194) <=> (~((~v101(constB194)) | (~v110(constB194))))))),
% 15.99/11.20 inference(rewrite,[status(thm)],[])).
% 15.99/11.20 tff(23866,plain,
% 15.99/11.20 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB193, constB194)) | (v100(constB194) <=> (~((~v101(constB194)) | (~v110(constB194))))))),
% 15.99/11.20 inference(quant_inst,[status(thm)],[])).
% 15.99/11.20 tff(23867,plain,
% 15.99/11.20 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB193, constB194)) | (v100(constB194) <=> (~((~v101(constB194)) | (~v110(constB194)))))),
% 15.99/11.20 inference(modus_ponens,[status(thm)],[23866, 23865])).
% 15.99/11.20 tff(23868,plain,
% 15.99/11.20 (v100(constB194) <=> (~((~v101(constB194)) | (~v110(constB194))))),
% 15.99/11.20 inference(unit_resolution,[status(thm)],[23867, 23864, 430])).
% 15.99/11.20 tff(23869,plain,
% 15.99/11.20 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB193, constB194)) | (v101(constB194) <=> (~((~v1(constB194)) | (~v102(constB194))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB193, constB194)) | (v101(constB194) <=> (~((~v1(constB194)) | (~v102(constB194))))))),
% 15.99/11.20 inference(rewrite,[status(thm)],[])).
% 15.99/11.20 tff(23870,plain,
% 15.99/11.20 (((~nextState(constB193, constB194)) | (v101(constB194) <=> (~((~v102(constB194)) | (~v1(constB194)))))) <=> ((~nextState(constB193, constB194)) | (v101(constB194) <=> (~((~v1(constB194)) | (~v102(constB194))))))),
% 15.99/11.20 inference(rewrite,[status(thm)],[])).
% 15.99/11.20 tff(23871,plain,
% 15.99/11.20 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB193, constB194)) | (v101(constB194) <=> (~((~v102(constB194)) | (~v1(constB194))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB193, constB194)) | (v101(constB194) <=> (~((~v1(constB194)) | (~v102(constB194)))))))),
% 15.99/11.20 inference(monotonicity,[status(thm)],[23870])).
% 15.99/11.20 tff(23872,plain,
% 15.99/11.20 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB193, constB194)) | (v101(constB194) <=> (~((~v102(constB194)) | (~v1(constB194))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB193, constB194)) | (v101(constB194) <=> (~((~v1(constB194)) | (~v102(constB194))))))),
% 15.99/11.20 inference(transitivity,[status(thm)],[23871, 23869])).
% 15.99/11.20 tff(23873,plain,
% 15.99/11.20 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB193, constB194)) | (v101(constB194) <=> (~((~v102(constB194)) | (~v1(constB194))))))),
% 15.99/11.20 inference(quant_inst,[status(thm)],[])).
% 15.99/11.20 tff(23874,plain,
% 15.99/11.20 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB193, constB194)) | (v101(constB194) <=> (~((~v1(constB194)) | (~v102(constB194)))))),
% 15.99/11.20 inference(modus_ponens,[status(thm)],[23873, 23872])).
% 15.99/11.20 tff(23875,plain,
% 15.99/11.20 (v101(constB194) <=> (~((~v1(constB194)) | (~v102(constB194))))),
% 15.99/11.20 inference(unit_resolution,[status(thm)],[23874, 23864, 450])).
% 15.99/11.20 tff(23876,plain,
% 15.99/11.20 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | ((~nextState(constB193, constB194)) | ((~v102(constB194)) <=> v104(constB194)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | (~nextState(constB193, constB194)) | ((~v102(constB194)) <=> v104(constB194)))),
% 15.99/11.20 inference(rewrite,[status(thm)],[])).
% 15.99/11.20 tff(23877,plain,
% 15.99/11.20 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | ((~nextState(constB193, constB194)) | ((~v102(constB194)) <=> v104(constB194)))),
% 15.99/11.20 inference(quant_inst,[status(thm)],[])).
% 15.99/11.20 tff(23878,plain,
% 15.99/11.20 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | (~nextState(constB193, constB194)) | ((~v102(constB194)) <=> v104(constB194))),
% 15.99/11.20 inference(modus_ponens,[status(thm)],[23877, 23876])).
% 15.99/11.20 tff(23879,plain,
% 15.99/11.20 ((~v102(constB194)) <=> v104(constB194)),
% 15.99/11.20 inference(unit_resolution,[status(thm)],[23878, 23864, 512])).
% 15.99/11.20 tff(23880,plain,
% 15.99/11.20 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB193, constB194)) | (v104(constB194) <=> v1(constB193)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | (~nextState(constB193, constB194)) | (v104(constB194) <=> v1(constB193)))),
% 15.99/11.20 inference(rewrite,[status(thm)],[])).
% 15.99/11.20 tff(23881,plain,
% 15.99/11.20 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB193, constB194)) | (v104(constB194) <=> v1(constB193)))),
% 15.99/11.20 inference(quant_inst,[status(thm)],[])).
% 15.99/11.20 tff(23882,plain,
% 15.99/11.20 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | (~nextState(constB193, constB194)) | (v104(constB194) <=> v1(constB193))),
% 15.99/11.20 inference(modus_ponens,[status(thm)],[23881, 23880])).
% 15.99/11.20 tff(23883,plain,
% 15.99/11.20 (v104(constB194) <=> v1(constB193)),
% 15.99/11.20 inference(unit_resolution,[status(thm)],[23882, 23864, 526])).
% 15.99/11.20 tff(23884,plain,
% 15.99/11.20 ((~v1(constB193)) <=> (~v1(constB193))),
% 15.99/11.20 inference(rewrite,[status(thm)],[])).
% 15.99/11.21 tff(23885,axiom,(~v1(constB193)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_193')).
% 15.99/11.21 tff(23886,plain,
% 15.99/11.21 (~v1(constB193)),
% 15.99/11.21 inference(modus_ponens,[status(thm)],[23885, 23884])).
% 15.99/11.21 tff(23887,plain,
% 15.99/11.21 ((~(v104(constB194) <=> v1(constB193))) | (~v104(constB194)) | v1(constB193)),
% 15.99/11.21 inference(tautology,[status(thm)],[])).
% 15.99/11.21 tff(23888,plain,
% 15.99/11.21 ((~(v104(constB194) <=> v1(constB193))) | (~v104(constB194))),
% 15.99/11.21 inference(unit_resolution,[status(thm)],[23887, 23886])).
% 15.99/11.21 tff(23889,plain,
% 15.99/11.21 (~v104(constB194)),
% 15.99/11.21 inference(unit_resolution,[status(thm)],[23888, 23883])).
% 15.99/11.21 tff(23890,plain,
% 15.99/11.21 ((~((~v102(constB194)) <=> v104(constB194))) | v102(constB194) | v104(constB194)),
% 15.99/11.21 inference(tautology,[status(thm)],[])).
% 15.99/11.21 tff(23891,plain,
% 15.99/11.21 (v102(constB194)),
% 15.99/11.21 inference(unit_resolution,[status(thm)],[23890, 23889, 23879])).
% 15.99/11.21 tff(23892,plain,
% 15.99/11.21 (v1(constB194) <=> v1(constB194)),
% 15.99/11.21 inference(rewrite,[status(thm)],[])).
% 15.99/11.21 tff(23893,axiom,(v1(constB194)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_194')).
% 15.99/11.21 tff(23894,plain,
% 15.99/11.21 (v1(constB194)),
% 15.99/11.21 inference(modus_ponens,[status(thm)],[23893, 23892])).
% 15.99/11.21 tff(23895,plain,
% 15.99/11.21 ((~((~v1(constB194)) | (~v102(constB194)))) | (~v1(constB194)) | (~v102(constB194))),
% 15.99/11.21 inference(tautology,[status(thm)],[])).
% 15.99/11.21 tff(23896,plain,
% 15.99/11.21 ((~((~v1(constB194)) | (~v102(constB194)))) | (~v102(constB194))),
% 15.99/11.21 inference(unit_resolution,[status(thm)],[23895, 23894])).
% 15.99/11.21 tff(23897,plain,
% 15.99/11.21 (~((~v1(constB194)) | (~v102(constB194)))),
% 15.99/11.21 inference(unit_resolution,[status(thm)],[23896, 23891])).
% 15.99/11.21 tff(23898,plain,
% 15.99/11.21 ((~(v101(constB194) <=> (~((~v1(constB194)) | (~v102(constB194)))))) | v101(constB194) | ((~v1(constB194)) | (~v102(constB194)))),
% 15.99/11.21 inference(tautology,[status(thm)],[])).
% 15.99/11.21 tff(23899,plain,
% 15.99/11.21 (v101(constB194)),
% 15.99/11.21 inference(unit_resolution,[status(thm)],[23898, 23897, 23875])).
% 15.99/11.21 tff(23900,plain,
% 15.99/11.21 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | ((~nextState(constB193, constB194)) | (v110(constB194) <=> v108(constB193)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | (~nextState(constB193, constB194)) | (v110(constB194) <=> v108(constB193)))),
% 15.99/11.21 inference(rewrite,[status(thm)],[])).
% 15.99/11.21 tff(23901,plain,
% 15.99/11.21 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | ((~nextState(constB193, constB194)) | (v110(constB194) <=> v108(constB193)))),
% 15.99/11.21 inference(quant_inst,[status(thm)],[])).
% 15.99/11.21 tff(23902,plain,
% 15.99/11.21 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | (~nextState(constB193, constB194)) | (v110(constB194) <=> v108(constB193))),
% 15.99/11.21 inference(modus_ponens,[status(thm)],[23901, 23900])).
% 15.99/11.21 tff(23903,plain,
% 15.99/11.21 (v110(constB194) <=> v108(constB193)),
% 15.99/11.21 inference(unit_resolution,[status(thm)],[23902, 23864, 556])).
% 15.99/11.21 tff(23904,plain,
% 15.99/11.21 ((~![VarCurr: $i] : (v108(VarCurr) <=> (v111(VarCurr) | v112(VarCurr)))) | (v108(constB193) <=> (v111(constB193) | v112(constB193)))),
% 15.99/11.21 inference(quant_inst,[status(thm)],[])).
% 15.99/11.21 tff(23905,plain,
% 15.99/11.21 (v108(constB193) <=> (v111(constB193) | v112(constB193))),
% 15.99/11.21 inference(unit_resolution,[status(thm)],[23904, 567])).
% 15.99/11.21 tff(23906,plain,
% 15.99/11.21 ((~![VarCurr: $i] : (v112(VarCurr) <=> (~((~v113(VarCurr)) | (~v126(VarCurr)))))) | (v112(constB193) <=> (~((~v113(constB193)) | (~v126(constB193)))))),
% 15.99/11.21 inference(quant_inst,[status(thm)],[])).
% 15.99/11.21 tff(23907,plain,
% 15.99/11.21 (v112(constB193) <=> (~((~v113(constB193)) | (~v126(constB193))))),
% 15.99/11.21 inference(unit_resolution,[status(thm)],[23906, 579])).
% 15.99/11.21 tff(23908,plain,
% 15.99/11.21 ((~![VarCurr: $i] : (v113(VarCurr) <=> (v114(VarCurr) | v125(VarCurr)))) | (v113(constB193) <=> (v114(constB193) | v125(constB193)))),
% 15.99/11.21 inference(quant_inst,[status(thm)],[])).
% 15.99/11.21 tff(23909,plain,
% 15.99/11.21 (v113(constB193) <=> (v114(constB193) | v125(constB193))),
% 15.99/11.21 inference(unit_resolution,[status(thm)],[23908, 588])).
% 15.99/11.21 tff(23910,plain,
% 15.99/11.21 ((~![VarCurr: $i] : (v114(VarCurr) <=> (v115(VarCurr) | v124(VarCurr)))) | (v114(constB193) <=> (v115(constB193) | v124(constB193)))),
% 15.99/11.21 inference(quant_inst,[status(thm)],[])).
% 15.99/11.21 tff(23911,plain,
% 15.99/11.21 (v114(constB193) <=> (v115(constB193) | v124(constB193))),
% 15.99/11.21 inference(unit_resolution,[status(thm)],[23910, 597])).
% 15.99/11.21 tff(23912,plain,
% 15.99/11.21 ((~![VarCurr: $i] : (v115(VarCurr) <=> (v116(VarCurr) | v123(VarCurr)))) | (v115(constB193) <=> (v116(constB193) | v123(constB193)))),
% 15.99/11.21 inference(quant_inst,[status(thm)],[])).
% 15.99/11.21 tff(23913,plain,
% 15.99/11.21 (v115(constB193) <=> (v116(constB193) | v123(constB193))),
% 15.99/11.21 inference(unit_resolution,[status(thm)],[23912, 606])).
% 15.99/11.21 tff(23914,plain,
% 15.99/11.21 (((~![VarCurr: $i] : (v123(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)))))) | (v123(constB193) <=> (~((~v90(constB193, bitIndex2)) | v90(constB193, bitIndex1) | v90(constB193, bitIndex0))))) <=> ((~![VarCurr: $i] : (v123(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)))))) | (v123(constB193) <=> (~((~v90(constB193, bitIndex2)) | v90(constB193, bitIndex1) | v90(constB193, bitIndex0)))))),
% 15.99/11.21 inference(rewrite,[status(thm)],[])).
% 15.99/11.21 tff(23915,plain,
% 15.99/11.21 ((v123(constB193) <=> (~(v90(constB193, bitIndex0) | v90(constB193, bitIndex1) | (~v90(constB193, bitIndex2))))) <=> (v123(constB193) <=> (~((~v90(constB193, bitIndex2)) | v90(constB193, bitIndex1) | v90(constB193, bitIndex0))))),
% 15.99/11.21 inference(rewrite,[status(thm)],[])).
% 15.99/11.21 tff(23916,plain,
% 15.99/11.21 (((~![VarCurr: $i] : (v123(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)))))) | (v123(constB193) <=> (~(v90(constB193, bitIndex0) | v90(constB193, bitIndex1) | (~v90(constB193, bitIndex2)))))) <=> ((~![VarCurr: $i] : (v123(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)))))) | (v123(constB193) <=> (~((~v90(constB193, bitIndex2)) | v90(constB193, bitIndex1) | v90(constB193, bitIndex0)))))),
% 15.99/11.21 inference(monotonicity,[status(thm)],[23915])).
% 15.99/11.21 tff(23917,plain,
% 15.99/11.21 (((~![VarCurr: $i] : (v123(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)))))) | (v123(constB193) <=> (~(v90(constB193, bitIndex0) | v90(constB193, bitIndex1) | (~v90(constB193, bitIndex2)))))) <=> ((~![VarCurr: $i] : (v123(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)))))) | (v123(constB193) <=> (~((~v90(constB193, bitIndex2)) | v90(constB193, bitIndex1) | v90(constB193, bitIndex0)))))),
% 15.99/11.21 inference(transitivity,[status(thm)],[23916, 23914])).
% 15.99/11.21 tff(23918,plain,
% 15.99/11.21 ((~![VarCurr: $i] : (v123(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)))))) | (v123(constB193) <=> (~(v90(constB193, bitIndex0) | v90(constB193, bitIndex1) | (~v90(constB193, bitIndex2)))))),
% 15.99/11.21 inference(quant_inst,[status(thm)],[])).
% 15.99/11.21 tff(23919,plain,
% 15.99/11.21 ((~![VarCurr: $i] : (v123(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)))))) | (v123(constB193) <=> (~((~v90(constB193, bitIndex2)) | v90(constB193, bitIndex1) | v90(constB193, bitIndex0))))),
% 15.99/11.21 inference(modus_ponens,[status(thm)],[23918, 23917])).
% 15.99/11.21 tff(23920,plain,
% 15.99/11.21 (v123(constB193) <=> (~((~v90(constB193, bitIndex2)) | v90(constB193, bitIndex1) | v90(constB193, bitIndex0)))),
% 15.99/11.21 inference(unit_resolution,[status(thm)],[23919, 621])).
% 15.99/11.21 tff(23921,plain,
% 15.99/11.21 (nextState(constB192, constB193) <=> nextState(constB192, constB193)),
% 15.99/11.21 inference(rewrite,[status(thm)],[])).
% 15.99/11.21 tff(23922,axiom,(nextState(constB192, constB193)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_192')).
% 15.99/11.21 tff(23923,plain,
% 15.99/11.21 (nextState(constB192, constB193)),
% 15.99/11.21 inference(modus_ponens,[status(thm)],[23922, 23921])).
% 15.99/11.21 tff(23924,plain,
% 15.99/11.21 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB192, constB193)) | (v100(constB193) <=> (~((~v101(constB193)) | (~v110(constB193))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB192, constB193)) | (v100(constB193) <=> (~((~v101(constB193)) | (~v110(constB193))))))),
% 15.99/11.21 inference(rewrite,[status(thm)],[])).
% 15.99/11.21 tff(23925,plain,
% 15.99/11.21 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB192, constB193)) | (v100(constB193) <=> (~((~v101(constB193)) | (~v110(constB193))))))),
% 15.99/11.21 inference(quant_inst,[status(thm)],[])).
% 15.99/11.21 tff(23926,plain,
% 15.99/11.21 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB192, constB193)) | (v100(constB193) <=> (~((~v101(constB193)) | (~v110(constB193)))))),
% 15.99/11.21 inference(modus_ponens,[status(thm)],[23925, 23924])).
% 15.99/11.21 tff(23927,plain,
% 15.99/11.21 (v100(constB193) <=> (~((~v101(constB193)) | (~v110(constB193))))),
% 15.99/11.21 inference(unit_resolution,[status(thm)],[23926, 23923, 430])).
% 15.99/11.21 tff(23928,plain,
% 15.99/11.21 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB192, constB193)) | (v101(constB193) <=> (~((~v1(constB193)) | (~v102(constB193))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB192, constB193)) | (v101(constB193) <=> (~((~v1(constB193)) | (~v102(constB193))))))),
% 15.99/11.21 inference(rewrite,[status(thm)],[])).
% 15.99/11.21 tff(23929,plain,
% 15.99/11.21 (((~nextState(constB192, constB193)) | (v101(constB193) <=> (~((~v102(constB193)) | (~v1(constB193)))))) <=> ((~nextState(constB192, constB193)) | (v101(constB193) <=> (~((~v1(constB193)) | (~v102(constB193))))))),
% 15.99/11.21 inference(rewrite,[status(thm)],[])).
% 15.99/11.21 tff(23930,plain,
% 15.99/11.21 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB192, constB193)) | (v101(constB193) <=> (~((~v102(constB193)) | (~v1(constB193))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB192, constB193)) | (v101(constB193) <=> (~((~v1(constB193)) | (~v102(constB193)))))))),
% 15.99/11.21 inference(monotonicity,[status(thm)],[23929])).
% 15.99/11.21 tff(23931,plain,
% 15.99/11.21 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB192, constB193)) | (v101(constB193) <=> (~((~v102(constB193)) | (~v1(constB193))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB192, constB193)) | (v101(constB193) <=> (~((~v1(constB193)) | (~v102(constB193))))))),
% 15.99/11.21 inference(transitivity,[status(thm)],[23930, 23928])).
% 15.99/11.21 tff(23932,plain,
% 15.99/11.21 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB192, constB193)) | (v101(constB193) <=> (~((~v102(constB193)) | (~v1(constB193))))))),
% 15.99/11.21 inference(quant_inst,[status(thm)],[])).
% 15.99/11.21 tff(23933,plain,
% 15.99/11.21 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB192, constB193)) | (v101(constB193) <=> (~((~v1(constB193)) | (~v102(constB193)))))),
% 15.99/11.21 inference(modus_ponens,[status(thm)],[23932, 23931])).
% 15.99/11.21 tff(23934,plain,
% 15.99/11.21 (v101(constB193) <=> (~((~v1(constB193)) | (~v102(constB193))))),
% 15.99/11.21 inference(unit_resolution,[status(thm)],[23933, 23923, 450])).
% 15.99/11.21 tff(23935,plain,
% 15.99/11.21 (((~v1(constB193)) | (~v102(constB193))) | v1(constB193)),
% 15.99/11.21 inference(tautology,[status(thm)],[])).
% 15.99/11.21 tff(23936,plain,
% 15.99/11.21 ((~v1(constB193)) | (~v102(constB193))),
% 15.99/11.21 inference(unit_resolution,[status(thm)],[23935, 23886])).
% 15.99/11.21 tff(23937,plain,
% 15.99/11.21 ((~(v101(constB193) <=> (~((~v1(constB193)) | (~v102(constB193)))))) | (~v101(constB193)) | (~((~v1(constB193)) | (~v102(constB193))))),
% 15.99/11.21 inference(tautology,[status(thm)],[])).
% 15.99/11.21 tff(23938,plain,
% 15.99/11.21 ((~(v101(constB193) <=> (~((~v1(constB193)) | (~v102(constB193)))))) | (~v101(constB193))),
% 15.99/11.21 inference(unit_resolution,[status(thm)],[23937, 23936])).
% 15.99/11.21 tff(23939,plain,
% 15.99/11.21 (~v101(constB193)),
% 15.99/11.21 inference(unit_resolution,[status(thm)],[23938, 23934])).
% 15.99/11.21 tff(23940,plain,
% 15.99/11.21 (((~v101(constB193)) | (~v110(constB193))) | v101(constB193)),
% 15.99/11.21 inference(tautology,[status(thm)],[])).
% 15.99/11.21 tff(23941,plain,
% 15.99/11.21 ((~v101(constB193)) | (~v110(constB193))),
% 15.99/11.21 inference(unit_resolution,[status(thm)],[23940, 23939])).
% 15.99/11.21 tff(23942,plain,
% 15.99/11.21 ((~(v100(constB193) <=> (~((~v101(constB193)) | (~v110(constB193)))))) | (~v100(constB193)) | (~((~v101(constB193)) | (~v110(constB193))))),
% 15.99/11.21 inference(tautology,[status(thm)],[])).
% 15.99/11.21 tff(23943,plain,
% 15.99/11.21 (~v100(constB193)),
% 15.99/11.21 inference(unit_resolution,[status(thm)],[23942, 23941, 23927])).
% 15.99/11.21 tff(23944,plain,
% 15.99/11.21 (((~![VarCurr: $i, VarNext: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v90(VarCurr, B))))) | (v100(constB193) | (~nextState(constB192, constB193)) | ![B: $i] : ((~less_3(B)) | (v90(constB193, B) <=> v90(constB192, B))))) <=> ((~![VarCurr: $i, VarNext: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v90(VarCurr, B))))) | v100(constB193) | (~nextState(constB192, constB193)) | ![B: $i] : ((~less_3(B)) | (v90(constB193, B) <=> v90(constB192, B))))),
% 15.99/11.21 inference(rewrite,[status(thm)],[])).
% 15.99/11.21 tff(23945,plain,
% 15.99/11.21 ((~![VarCurr: $i, VarNext: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v90(VarCurr, B))))) | (v100(constB193) | (~nextState(constB192, constB193)) | ![B: $i] : ((~less_3(B)) | (v90(constB193, B) <=> v90(constB192, B))))),
% 15.99/11.21 inference(quant_inst,[status(thm)],[])).
% 15.99/11.21 tff(23946,plain,
% 15.99/11.21 ((~![VarCurr: $i, VarNext: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v90(VarCurr, B))))) | v100(constB193) | (~nextState(constB192, constB193)) | ![B: $i] : ((~less_3(B)) | (v90(constB193, B) <=> v90(constB192, B)))),
% 15.99/11.21 inference(modus_ponens,[status(thm)],[23945, 23944])).
% 15.99/11.21 tff(23947,plain,
% 15.99/11.21 (v100(constB193) | ![B: $i] : ((~less_3(B)) | (v90(constB193, B) <=> v90(constB192, B)))),
% 15.99/11.21 inference(unit_resolution,[status(thm)],[23946, 23923, 479])).
% 15.99/11.21 tff(23948,plain,
% 15.99/11.21 (![B: $i] : ((~less_3(B)) | (v90(constB193, B) <=> v90(constB192, B)))),
% 15.99/11.21 inference(unit_resolution,[status(thm)],[23947, 23943])).
% 15.99/11.21 tff(23949,plain,
% 15.99/11.21 (((~![B: $i] : ((~less_3(B)) | (v90(constB193, B) <=> v90(constB192, B)))) | ((~less_3(bitIndex2)) | (v90(constB193, bitIndex2) <=> v90(constB192, bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v90(constB193, B) <=> v90(constB192, B)))) | (~less_3(bitIndex2)) | (v90(constB193, bitIndex2) <=> v90(constB192, bitIndex2)))),
% 15.99/11.21 inference(rewrite,[status(thm)],[])).
% 15.99/11.21 tff(23950,plain,
% 15.99/11.21 ((~![B: $i] : ((~less_3(B)) | (v90(constB193, B) <=> v90(constB192, B)))) | ((~less_3(bitIndex2)) | (v90(constB193, bitIndex2) <=> v90(constB192, bitIndex2)))),
% 15.99/11.21 inference(quant_inst,[status(thm)],[])).
% 15.99/11.21 tff(23951,plain,
% 15.99/11.21 ((~![B: $i] : ((~less_3(B)) | (v90(constB193, B) <=> v90(constB192, B)))) | (~less_3(bitIndex2)) | (v90(constB193, bitIndex2) <=> v90(constB192, bitIndex2))),
% 15.99/11.21 inference(modus_ponens,[status(thm)],[23950, 23949])).
% 15.99/11.21 tff(23952,plain,
% 15.99/11.21 (v90(constB193, bitIndex2) <=> v90(constB192, bitIndex2)),
% 15.99/11.21 inference(unit_resolution,[status(thm)],[23951, 413, 23948])).
% 15.99/11.21 tff(23953,plain,
% 15.99/11.21 (nextState(constB191, constB192) <=> nextState(constB191, constB192)),
% 15.99/11.21 inference(rewrite,[status(thm)],[])).
% 15.99/11.21 tff(23954,axiom,(nextState(constB191, constB192)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_191')).
% 15.99/11.21 tff(23955,plain,
% 15.99/11.21 (nextState(constB191, constB192)),
% 15.99/11.21 inference(modus_ponens,[status(thm)],[23954, 23953])).
% 15.99/11.21 tff(23956,plain,
% 15.99/11.21 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB191, constB192)) | (v100(constB192) <=> (~((~v101(constB192)) | (~v110(constB192))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB191, constB192)) | (v100(constB192) <=> (~((~v101(constB192)) | (~v110(constB192))))))),
% 15.99/11.22 inference(rewrite,[status(thm)],[])).
% 15.99/11.22 tff(23957,plain,
% 15.99/11.22 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB191, constB192)) | (v100(constB192) <=> (~((~v101(constB192)) | (~v110(constB192))))))),
% 15.99/11.22 inference(quant_inst,[status(thm)],[])).
% 15.99/11.22 tff(23958,plain,
% 15.99/11.22 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB191, constB192)) | (v100(constB192) <=> (~((~v101(constB192)) | (~v110(constB192)))))),
% 15.99/11.22 inference(modus_ponens,[status(thm)],[23957, 23956])).
% 15.99/11.22 tff(23959,plain,
% 15.99/11.22 (v100(constB192) <=> (~((~v101(constB192)) | (~v110(constB192))))),
% 15.99/11.22 inference(unit_resolution,[status(thm)],[23958, 23955, 430])).
% 15.99/11.22 tff(23960,plain,
% 15.99/11.22 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB191, constB192)) | (v101(constB192) <=> (~((~v1(constB192)) | (~v102(constB192))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB191, constB192)) | (v101(constB192) <=> (~((~v1(constB192)) | (~v102(constB192))))))),
% 15.99/11.22 inference(rewrite,[status(thm)],[])).
% 15.99/11.22 tff(23961,plain,
% 15.99/11.22 (((~nextState(constB191, constB192)) | (v101(constB192) <=> (~((~v102(constB192)) | (~v1(constB192)))))) <=> ((~nextState(constB191, constB192)) | (v101(constB192) <=> (~((~v1(constB192)) | (~v102(constB192))))))),
% 15.99/11.22 inference(rewrite,[status(thm)],[])).
% 15.99/11.22 tff(23962,plain,
% 15.99/11.22 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB191, constB192)) | (v101(constB192) <=> (~((~v102(constB192)) | (~v1(constB192))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB191, constB192)) | (v101(constB192) <=> (~((~v1(constB192)) | (~v102(constB192)))))))),
% 15.99/11.22 inference(monotonicity,[status(thm)],[23961])).
% 15.99/11.22 tff(23963,plain,
% 15.99/11.22 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB191, constB192)) | (v101(constB192) <=> (~((~v102(constB192)) | (~v1(constB192))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB191, constB192)) | (v101(constB192) <=> (~((~v1(constB192)) | (~v102(constB192))))))),
% 15.99/11.22 inference(transitivity,[status(thm)],[23962, 23960])).
% 15.99/11.22 tff(23964,plain,
% 15.99/11.22 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB191, constB192)) | (v101(constB192) <=> (~((~v102(constB192)) | (~v1(constB192))))))),
% 15.99/11.22 inference(quant_inst,[status(thm)],[])).
% 15.99/11.22 tff(23965,plain,
% 15.99/11.22 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB191, constB192)) | (v101(constB192) <=> (~((~v1(constB192)) | (~v102(constB192)))))),
% 15.99/11.22 inference(modus_ponens,[status(thm)],[23964, 23963])).
% 15.99/11.22 tff(23966,plain,
% 15.99/11.22 (v101(constB192) <=> (~((~v1(constB192)) | (~v102(constB192))))),
% 15.99/11.22 inference(unit_resolution,[status(thm)],[23965, 23955, 450])).
% 15.99/11.22 tff(23967,plain,
% 15.99/11.22 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | ((~nextState(constB191, constB192)) | ((~v102(constB192)) <=> v104(constB192)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | (~nextState(constB191, constB192)) | ((~v102(constB192)) <=> v104(constB192)))),
% 15.99/11.22 inference(rewrite,[status(thm)],[])).
% 15.99/11.22 tff(23968,plain,
% 15.99/11.22 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | ((~nextState(constB191, constB192)) | ((~v102(constB192)) <=> v104(constB192)))),
% 15.99/11.22 inference(quant_inst,[status(thm)],[])).
% 15.99/11.22 tff(23969,plain,
% 15.99/11.22 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | (~nextState(constB191, constB192)) | ((~v102(constB192)) <=> v104(constB192))),
% 15.99/11.22 inference(modus_ponens,[status(thm)],[23968, 23967])).
% 15.99/11.22 tff(23970,plain,
% 15.99/11.22 ((~v102(constB192)) <=> v104(constB192)),
% 15.99/11.22 inference(unit_resolution,[status(thm)],[23969, 23955, 512])).
% 15.99/11.22 tff(23971,plain,
% 15.99/11.22 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB191, constB192)) | (v104(constB192) <=> v1(constB191)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | (~nextState(constB191, constB192)) | (v104(constB192) <=> v1(constB191)))),
% 15.99/11.22 inference(rewrite,[status(thm)],[])).
% 15.99/11.22 tff(23972,plain,
% 15.99/11.22 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB191, constB192)) | (v104(constB192) <=> v1(constB191)))),
% 15.99/11.22 inference(quant_inst,[status(thm)],[])).
% 15.99/11.22 tff(23973,plain,
% 15.99/11.22 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | (~nextState(constB191, constB192)) | (v104(constB192) <=> v1(constB191))),
% 15.99/11.22 inference(modus_ponens,[status(thm)],[23972, 23971])).
% 15.99/11.22 tff(23974,plain,
% 15.99/11.22 (v104(constB192) <=> v1(constB191)),
% 15.99/11.22 inference(unit_resolution,[status(thm)],[23973, 23955, 526])).
% 15.99/11.22 tff(23975,plain,
% 15.99/11.22 ((~v1(constB191)) <=> (~v1(constB191))),
% 15.99/11.22 inference(rewrite,[status(thm)],[])).
% 15.99/11.22 tff(23976,axiom,(~v1(constB191)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_191')).
% 15.99/11.22 tff(23977,plain,
% 15.99/11.22 (~v1(constB191)),
% 15.99/11.22 inference(modus_ponens,[status(thm)],[23976, 23975])).
% 15.99/11.22 tff(23978,plain,
% 15.99/11.22 ((~(v104(constB192) <=> v1(constB191))) | (~v104(constB192)) | v1(constB191)),
% 15.99/11.22 inference(tautology,[status(thm)],[])).
% 15.99/11.22 tff(23979,plain,
% 15.99/11.22 ((~(v104(constB192) <=> v1(constB191))) | (~v104(constB192))),
% 15.99/11.22 inference(unit_resolution,[status(thm)],[23978, 23977])).
% 15.99/11.22 tff(23980,plain,
% 15.99/11.22 (~v104(constB192)),
% 15.99/11.22 inference(unit_resolution,[status(thm)],[23979, 23974])).
% 15.99/11.22 tff(23981,plain,
% 15.99/11.22 ((~((~v102(constB192)) <=> v104(constB192))) | v102(constB192) | v104(constB192)),
% 15.99/11.22 inference(tautology,[status(thm)],[])).
% 15.99/11.22 tff(23982,plain,
% 15.99/11.22 (v102(constB192)),
% 15.99/11.22 inference(unit_resolution,[status(thm)],[23981, 23980, 23970])).
% 15.99/11.22 tff(23983,plain,
% 15.99/11.22 (v1(constB192) <=> v1(constB192)),
% 15.99/11.22 inference(rewrite,[status(thm)],[])).
% 15.99/11.22 tff(23984,axiom,(v1(constB192)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_192')).
% 15.99/11.22 tff(23985,plain,
% 15.99/11.22 (v1(constB192)),
% 15.99/11.22 inference(modus_ponens,[status(thm)],[23984, 23983])).
% 15.99/11.22 tff(23986,plain,
% 15.99/11.22 ((~((~v1(constB192)) | (~v102(constB192)))) | (~v1(constB192)) | (~v102(constB192))),
% 15.99/11.22 inference(tautology,[status(thm)],[])).
% 15.99/11.22 tff(23987,plain,
% 15.99/11.22 ((~((~v1(constB192)) | (~v102(constB192)))) | (~v102(constB192))),
% 15.99/11.22 inference(unit_resolution,[status(thm)],[23986, 23985])).
% 15.99/11.22 tff(23988,plain,
% 15.99/11.22 (~((~v1(constB192)) | (~v102(constB192)))),
% 15.99/11.22 inference(unit_resolution,[status(thm)],[23987, 23982])).
% 15.99/11.22 tff(23989,plain,
% 15.99/11.22 ((~(v101(constB192) <=> (~((~v1(constB192)) | (~v102(constB192)))))) | v101(constB192) | ((~v1(constB192)) | (~v102(constB192)))),
% 15.99/11.22 inference(tautology,[status(thm)],[])).
% 15.99/11.22 tff(23990,plain,
% 15.99/11.22 (v101(constB192)),
% 15.99/11.22 inference(unit_resolution,[status(thm)],[23989, 23988, 23966])).
% 15.99/11.22 tff(23991,plain,
% 15.99/11.22 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | ((~nextState(constB191, constB192)) | (v110(constB192) <=> v108(constB191)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | (~nextState(constB191, constB192)) | (v110(constB192) <=> v108(constB191)))),
% 15.99/11.22 inference(rewrite,[status(thm)],[])).
% 15.99/11.22 tff(23992,plain,
% 15.99/11.22 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | ((~nextState(constB191, constB192)) | (v110(constB192) <=> v108(constB191)))),
% 15.99/11.22 inference(quant_inst,[status(thm)],[])).
% 15.99/11.22 tff(23993,plain,
% 15.99/11.22 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | (~nextState(constB191, constB192)) | (v110(constB192) <=> v108(constB191))),
% 15.99/11.22 inference(modus_ponens,[status(thm)],[23992, 23991])).
% 15.99/11.22 tff(23994,plain,
% 15.99/11.22 (v110(constB192) <=> v108(constB191)),
% 15.99/11.22 inference(unit_resolution,[status(thm)],[23993, 23955, 556])).
% 15.99/11.22 tff(23995,plain,
% 15.99/11.22 ((~![VarCurr: $i] : (v108(VarCurr) <=> (v111(VarCurr) | v112(VarCurr)))) | (v108(constB191) <=> (v111(constB191) | v112(constB191)))),
% 15.99/11.22 inference(quant_inst,[status(thm)],[])).
% 15.99/11.22 tff(23996,plain,
% 15.99/11.22 (v108(constB191) <=> (v111(constB191) | v112(constB191))),
% 15.99/11.22 inference(unit_resolution,[status(thm)],[23995, 567])).
% 15.99/11.22 tff(23997,plain,
% 15.99/11.22 ((~![VarCurr: $i] : (v112(VarCurr) <=> (~((~v113(VarCurr)) | (~v126(VarCurr)))))) | (v112(constB191) <=> (~((~v113(constB191)) | (~v126(constB191)))))),
% 15.99/11.22 inference(quant_inst,[status(thm)],[])).
% 15.99/11.22 tff(23998,plain,
% 15.99/11.22 (v112(constB191) <=> (~((~v113(constB191)) | (~v126(constB191))))),
% 15.99/11.22 inference(unit_resolution,[status(thm)],[23997, 579])).
% 15.99/11.22 tff(23999,plain,
% 15.99/11.22 ((~![VarCurr: $i] : (v113(VarCurr) <=> (v114(VarCurr) | v125(VarCurr)))) | (v113(constB191) <=> (v114(constB191) | v125(constB191)))),
% 15.99/11.22 inference(quant_inst,[status(thm)],[])).
% 15.99/11.22 tff(24000,plain,
% 15.99/11.22 (v113(constB191) <=> (v114(constB191) | v125(constB191))),
% 15.99/11.22 inference(unit_resolution,[status(thm)],[23999, 588])).
% 15.99/11.22 tff(24001,plain,
% 15.99/11.22 ((~![VarCurr: $i] : (v114(VarCurr) <=> (v115(VarCurr) | v124(VarCurr)))) | (v114(constB191) <=> (v115(constB191) | v124(constB191)))),
% 15.99/11.22 inference(quant_inst,[status(thm)],[])).
% 15.99/11.22 tff(24002,plain,
% 15.99/11.22 (v114(constB191) <=> (v115(constB191) | v124(constB191))),
% 15.99/11.22 inference(unit_resolution,[status(thm)],[24001, 597])).
% 15.99/11.22 tff(24003,plain,
% 15.99/11.22 ((~![VarCurr: $i] : (v115(VarCurr) <=> (v116(VarCurr) | v123(VarCurr)))) | (v115(constB191) <=> (v116(constB191) | v123(constB191)))),
% 15.99/11.22 inference(quant_inst,[status(thm)],[])).
% 15.99/11.22 tff(24004,plain,
% 15.99/11.22 (v115(constB191) <=> (v116(constB191) | v123(constB191))),
% 15.99/11.22 inference(unit_resolution,[status(thm)],[24003, 606])).
% 15.99/11.22 tff(24005,plain,
% 15.99/11.22 ((~![VarCurr: $i] : (v116(VarCurr) <=> (v117(VarCurr) | v122(VarCurr)))) | (v116(constB191) <=> (v117(constB191) | v122(constB191)))),
% 15.99/11.22 inference(quant_inst,[status(thm)],[])).
% 15.99/11.22 tff(24006,plain,
% 15.99/11.22 (v116(constB191) <=> (v117(constB191) | v122(constB191))),
% 15.99/11.22 inference(unit_resolution,[status(thm)],[24005, 719])).
% 15.99/11.22 tff(24007,plain,
% 15.99/11.22 (((~![VarCurr: $i] : (v122(VarCurr) <=> (~(v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)))))) | (v122(constB191) <=> (~(v90(constB191, bitIndex2) | (~v90(constB191, bitIndex1)) | (~v90(constB191, bitIndex0)))))) <=> ((~![VarCurr: $i] : (v122(VarCurr) <=> (~(v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)))))) | (v122(constB191) <=> (~(v90(constB191, bitIndex2) | (~v90(constB191, bitIndex1)) | (~v90(constB191, bitIndex0))))))),
% 15.99/11.22 inference(rewrite,[status(thm)],[])).
% 15.99/11.22 tff(24008,plain,
% 15.99/11.22 ((v122(constB191) <=> (~(v90(constB191, bitIndex2) | (~v90(constB191, bitIndex0)) | (~v90(constB191, bitIndex1))))) <=> (v122(constB191) <=> (~(v90(constB191, bitIndex2) | (~v90(constB191, bitIndex1)) | (~v90(constB191, bitIndex0)))))),
% 15.99/11.22 inference(rewrite,[status(thm)],[])).
% 15.99/11.22 tff(24009,plain,
% 15.99/11.22 (((~![VarCurr: $i] : (v122(VarCurr) <=> (~(v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)))))) | (v122(constB191) <=> (~(v90(constB191, bitIndex2) | (~v90(constB191, bitIndex0)) | (~v90(constB191, bitIndex1)))))) <=> ((~![VarCurr: $i] : (v122(VarCurr) <=> (~(v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)))))) | (v122(constB191) <=> (~(v90(constB191, bitIndex2) | (~v90(constB191, bitIndex1)) | (~v90(constB191, bitIndex0))))))),
% 15.99/11.22 inference(monotonicity,[status(thm)],[24008])).
% 15.99/11.22 tff(24010,plain,
% 15.99/11.22 (((~![VarCurr: $i] : (v122(VarCurr) <=> (~(v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)))))) | (v122(constB191) <=> (~(v90(constB191, bitIndex2) | (~v90(constB191, bitIndex0)) | (~v90(constB191, bitIndex1)))))) <=> ((~![VarCurr: $i] : (v122(VarCurr) <=> (~(v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)))))) | (v122(constB191) <=> (~(v90(constB191, bitIndex2) | (~v90(constB191, bitIndex1)) | (~v90(constB191, bitIndex0))))))),
% 15.99/11.22 inference(transitivity,[status(thm)],[24009, 24007])).
% 15.99/11.22 tff(24011,plain,
% 15.99/11.22 ((~![VarCurr: $i] : (v122(VarCurr) <=> (~(v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)))))) | (v122(constB191) <=> (~(v90(constB191, bitIndex2) | (~v90(constB191, bitIndex0)) | (~v90(constB191, bitIndex1)))))),
% 15.99/11.22 inference(quant_inst,[status(thm)],[])).
% 15.99/11.22 tff(24012,plain,
% 15.99/11.22 ((~![VarCurr: $i] : (v122(VarCurr) <=> (~(v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)))))) | (v122(constB191) <=> (~(v90(constB191, bitIndex2) | (~v90(constB191, bitIndex1)) | (~v90(constB191, bitIndex0)))))),
% 15.99/11.22 inference(modus_ponens,[status(thm)],[24011, 24010])).
% 15.99/11.22 tff(24013,plain,
% 15.99/11.22 (v122(constB191) <=> (~(v90(constB191, bitIndex2) | (~v90(constB191, bitIndex1)) | (~v90(constB191, bitIndex0))))),
% 15.99/11.22 inference(unit_resolution,[status(thm)],[24012, 734])).
% 15.99/11.22 tff(24014,plain,
% 15.99/11.22 (nextState(constB190, constB191) <=> nextState(constB190, constB191)),
% 15.99/11.22 inference(rewrite,[status(thm)],[])).
% 15.99/11.22 tff(24015,axiom,(nextState(constB190, constB191)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_190')).
% 15.99/11.22 tff(24016,plain,
% 15.99/11.22 (nextState(constB190, constB191)),
% 15.99/11.22 inference(modus_ponens,[status(thm)],[24015, 24014])).
% 15.99/11.22 tff(24017,plain,
% 15.99/11.22 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB190, constB191)) | (v100(constB191) <=> (~((~v101(constB191)) | (~v110(constB191))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB190, constB191)) | (v100(constB191) <=> (~((~v101(constB191)) | (~v110(constB191))))))),
% 15.99/11.22 inference(rewrite,[status(thm)],[])).
% 15.99/11.22 tff(24018,plain,
% 15.99/11.22 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB190, constB191)) | (v100(constB191) <=> (~((~v101(constB191)) | (~v110(constB191))))))),
% 15.99/11.22 inference(quant_inst,[status(thm)],[])).
% 15.99/11.22 tff(24019,plain,
% 15.99/11.22 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB190, constB191)) | (v100(constB191) <=> (~((~v101(constB191)) | (~v110(constB191)))))),
% 15.99/11.22 inference(modus_ponens,[status(thm)],[24018, 24017])).
% 15.99/11.22 tff(24020,plain,
% 15.99/11.22 (v100(constB191) <=> (~((~v101(constB191)) | (~v110(constB191))))),
% 15.99/11.22 inference(unit_resolution,[status(thm)],[24019, 24016, 430])).
% 15.99/11.22 tff(24021,plain,
% 15.99/11.22 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB190, constB191)) | (v101(constB191) <=> (~((~v1(constB191)) | (~v102(constB191))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB190, constB191)) | (v101(constB191) <=> (~((~v1(constB191)) | (~v102(constB191))))))),
% 15.99/11.22 inference(rewrite,[status(thm)],[])).
% 15.99/11.22 tff(24022,plain,
% 15.99/11.22 (((~nextState(constB190, constB191)) | (v101(constB191) <=> (~((~v102(constB191)) | (~v1(constB191)))))) <=> ((~nextState(constB190, constB191)) | (v101(constB191) <=> (~((~v1(constB191)) | (~v102(constB191))))))),
% 15.99/11.23 inference(rewrite,[status(thm)],[])).
% 15.99/11.23 tff(24023,plain,
% 15.99/11.23 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB190, constB191)) | (v101(constB191) <=> (~((~v102(constB191)) | (~v1(constB191))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB190, constB191)) | (v101(constB191) <=> (~((~v1(constB191)) | (~v102(constB191)))))))),
% 15.99/11.23 inference(monotonicity,[status(thm)],[24022])).
% 15.99/11.23 tff(24024,plain,
% 15.99/11.23 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB190, constB191)) | (v101(constB191) <=> (~((~v102(constB191)) | (~v1(constB191))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB190, constB191)) | (v101(constB191) <=> (~((~v1(constB191)) | (~v102(constB191))))))),
% 15.99/11.23 inference(transitivity,[status(thm)],[24023, 24021])).
% 15.99/11.23 tff(24025,plain,
% 15.99/11.23 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB190, constB191)) | (v101(constB191) <=> (~((~v102(constB191)) | (~v1(constB191))))))),
% 15.99/11.23 inference(quant_inst,[status(thm)],[])).
% 15.99/11.23 tff(24026,plain,
% 15.99/11.23 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB190, constB191)) | (v101(constB191) <=> (~((~v1(constB191)) | (~v102(constB191)))))),
% 15.99/11.23 inference(modus_ponens,[status(thm)],[24025, 24024])).
% 15.99/11.23 tff(24027,plain,
% 15.99/11.23 (v101(constB191) <=> (~((~v1(constB191)) | (~v102(constB191))))),
% 15.99/11.23 inference(unit_resolution,[status(thm)],[24026, 24016, 450])).
% 15.99/11.23 tff(24028,plain,
% 15.99/11.23 (((~v1(constB191)) | (~v102(constB191))) | v1(constB191)),
% 15.99/11.23 inference(tautology,[status(thm)],[])).
% 15.99/11.23 tff(24029,plain,
% 15.99/11.23 ((~v1(constB191)) | (~v102(constB191))),
% 15.99/11.23 inference(unit_resolution,[status(thm)],[24028, 23977])).
% 15.99/11.23 tff(24030,plain,
% 15.99/11.23 ((~(v101(constB191) <=> (~((~v1(constB191)) | (~v102(constB191)))))) | (~v101(constB191)) | (~((~v1(constB191)) | (~v102(constB191))))),
% 15.99/11.23 inference(tautology,[status(thm)],[])).
% 15.99/11.23 tff(24031,plain,
% 15.99/11.23 ((~(v101(constB191) <=> (~((~v1(constB191)) | (~v102(constB191)))))) | (~v101(constB191))),
% 15.99/11.23 inference(unit_resolution,[status(thm)],[24030, 24029])).
% 15.99/11.23 tff(24032,plain,
% 15.99/11.23 (~v101(constB191)),
% 15.99/11.23 inference(unit_resolution,[status(thm)],[24031, 24027])).
% 15.99/11.23 tff(24033,plain,
% 15.99/11.23 (((~v101(constB191)) | (~v110(constB191))) | v101(constB191)),
% 15.99/11.23 inference(tautology,[status(thm)],[])).
% 15.99/11.23 tff(24034,plain,
% 15.99/11.23 ((~v101(constB191)) | (~v110(constB191))),
% 15.99/11.23 inference(unit_resolution,[status(thm)],[24033, 24032])).
% 15.99/11.23 tff(24035,plain,
% 15.99/11.23 ((~(v100(constB191) <=> (~((~v101(constB191)) | (~v110(constB191)))))) | (~v100(constB191)) | (~((~v101(constB191)) | (~v110(constB191))))),
% 15.99/11.23 inference(tautology,[status(thm)],[])).
% 15.99/11.23 tff(24036,plain,
% 15.99/11.23 (~v100(constB191)),
% 15.99/11.23 inference(unit_resolution,[status(thm)],[24035, 24034, 24020])).
% 15.99/11.23 tff(24037,plain,
% 15.99/11.23 (((~![VarCurr: $i, VarNext: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v90(VarCurr, B))))) | (v100(constB191) | (~nextState(constB190, constB191)) | ![B: $i] : ((~less_3(B)) | (v90(constB191, B) <=> v90(constB190, B))))) <=> ((~![VarCurr: $i, VarNext: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v90(VarCurr, B))))) | v100(constB191) | (~nextState(constB190, constB191)) | ![B: $i] : ((~less_3(B)) | (v90(constB191, B) <=> v90(constB190, B))))),
% 15.99/11.23 inference(rewrite,[status(thm)],[])).
% 15.99/11.23 tff(24038,plain,
% 15.99/11.23 ((~![VarCurr: $i, VarNext: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v90(VarCurr, B))))) | (v100(constB191) | (~nextState(constB190, constB191)) | ![B: $i] : ((~less_3(B)) | (v90(constB191, B) <=> v90(constB190, B))))),
% 16.03/11.23 inference(quant_inst,[status(thm)],[])).
% 16.03/11.23 tff(24039,plain,
% 16.03/11.23 ((~![VarCurr: $i, VarNext: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v90(VarCurr, B))))) | v100(constB191) | (~nextState(constB190, constB191)) | ![B: $i] : ((~less_3(B)) | (v90(constB191, B) <=> v90(constB190, B)))),
% 16.03/11.23 inference(modus_ponens,[status(thm)],[24038, 24037])).
% 16.03/11.23 tff(24040,plain,
% 16.03/11.23 (v100(constB191) | ![B: $i] : ((~less_3(B)) | (v90(constB191, B) <=> v90(constB190, B)))),
% 16.03/11.23 inference(unit_resolution,[status(thm)],[24039, 24016, 479])).
% 16.03/11.23 tff(24041,plain,
% 16.03/11.23 (![B: $i] : ((~less_3(B)) | (v90(constB191, B) <=> v90(constB190, B)))),
% 16.03/11.23 inference(unit_resolution,[status(thm)],[24040, 24036])).
% 16.03/11.23 tff(24042,plain,
% 16.03/11.23 (((~![B: $i] : ((~less_3(B)) | (v90(constB191, B) <=> v90(constB190, B)))) | ((~less_3(bitIndex2)) | (v90(constB191, bitIndex2) <=> v90(constB190, bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v90(constB191, B) <=> v90(constB190, B)))) | (~less_3(bitIndex2)) | (v90(constB191, bitIndex2) <=> v90(constB190, bitIndex2)))),
% 16.03/11.23 inference(rewrite,[status(thm)],[])).
% 16.03/11.23 tff(24043,plain,
% 16.03/11.23 ((~![B: $i] : ((~less_3(B)) | (v90(constB191, B) <=> v90(constB190, B)))) | ((~less_3(bitIndex2)) | (v90(constB191, bitIndex2) <=> v90(constB190, bitIndex2)))),
% 16.03/11.23 inference(quant_inst,[status(thm)],[])).
% 16.03/11.23 tff(24044,plain,
% 16.03/11.23 ((~![B: $i] : ((~less_3(B)) | (v90(constB191, B) <=> v90(constB190, B)))) | (~less_3(bitIndex2)) | (v90(constB191, bitIndex2) <=> v90(constB190, bitIndex2))),
% 16.03/11.23 inference(modus_ponens,[status(thm)],[24043, 24042])).
% 16.03/11.23 tff(24045,plain,
% 16.03/11.23 (v90(constB191, bitIndex2) <=> v90(constB190, bitIndex2)),
% 16.03/11.23 inference(unit_resolution,[status(thm)],[24044, 413, 24041])).
% 16.03/11.23 tff(24046,plain,
% 16.03/11.23 (nextState(constB189, constB190) <=> nextState(constB189, constB190)),
% 16.03/11.23 inference(rewrite,[status(thm)],[])).
% 16.03/11.23 tff(24047,axiom,(nextState(constB189, constB190)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_189')).
% 16.03/11.23 tff(24048,plain,
% 16.03/11.23 (nextState(constB189, constB190)),
% 16.03/11.23 inference(modus_ponens,[status(thm)],[24047, 24046])).
% 16.03/11.23 tff(24049,plain,
% 16.03/11.23 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB189, constB190)) | (v100(constB190) <=> (~((~v101(constB190)) | (~v110(constB190))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB189, constB190)) | (v100(constB190) <=> (~((~v101(constB190)) | (~v110(constB190))))))),
% 16.03/11.23 inference(rewrite,[status(thm)],[])).
% 16.03/11.23 tff(24050,plain,
% 16.03/11.23 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB189, constB190)) | (v100(constB190) <=> (~((~v101(constB190)) | (~v110(constB190))))))),
% 16.03/11.23 inference(quant_inst,[status(thm)],[])).
% 16.03/11.23 tff(24051,plain,
% 16.03/11.23 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB189, constB190)) | (v100(constB190) <=> (~((~v101(constB190)) | (~v110(constB190)))))),
% 16.03/11.23 inference(modus_ponens,[status(thm)],[24050, 24049])).
% 16.03/11.23 tff(24052,plain,
% 16.03/11.23 (v100(constB190) <=> (~((~v101(constB190)) | (~v110(constB190))))),
% 16.03/11.23 inference(unit_resolution,[status(thm)],[24051, 24048, 430])).
% 16.03/11.23 tff(24053,plain,
% 16.03/11.23 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB189, constB190)) | (v101(constB190) <=> (~((~v1(constB190)) | (~v102(constB190))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB189, constB190)) | (v101(constB190) <=> (~((~v1(constB190)) | (~v102(constB190))))))),
% 16.03/11.23 inference(rewrite,[status(thm)],[])).
% 16.03/11.23 tff(24054,plain,
% 16.03/11.23 (((~nextState(constB189, constB190)) | (v101(constB190) <=> (~((~v102(constB190)) | (~v1(constB190)))))) <=> ((~nextState(constB189, constB190)) | (v101(constB190) <=> (~((~v1(constB190)) | (~v102(constB190))))))),
% 16.03/11.23 inference(rewrite,[status(thm)],[])).
% 16.03/11.23 tff(24055,plain,
% 16.03/11.23 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB189, constB190)) | (v101(constB190) <=> (~((~v102(constB190)) | (~v1(constB190))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB189, constB190)) | (v101(constB190) <=> (~((~v1(constB190)) | (~v102(constB190)))))))),
% 16.03/11.23 inference(monotonicity,[status(thm)],[24054])).
% 16.03/11.23 tff(24056,plain,
% 16.03/11.23 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB189, constB190)) | (v101(constB190) <=> (~((~v102(constB190)) | (~v1(constB190))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB189, constB190)) | (v101(constB190) <=> (~((~v1(constB190)) | (~v102(constB190))))))),
% 16.03/11.23 inference(transitivity,[status(thm)],[24055, 24053])).
% 16.03/11.23 tff(24057,plain,
% 16.03/11.23 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB189, constB190)) | (v101(constB190) <=> (~((~v102(constB190)) | (~v1(constB190))))))),
% 16.03/11.23 inference(quant_inst,[status(thm)],[])).
% 16.03/11.23 tff(24058,plain,
% 16.03/11.23 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB189, constB190)) | (v101(constB190) <=> (~((~v1(constB190)) | (~v102(constB190)))))),
% 16.03/11.23 inference(modus_ponens,[status(thm)],[24057, 24056])).
% 16.03/11.23 tff(24059,plain,
% 16.03/11.23 (v101(constB190) <=> (~((~v1(constB190)) | (~v102(constB190))))),
% 16.03/11.23 inference(unit_resolution,[status(thm)],[24058, 24048, 450])).
% 16.03/11.23 tff(24060,plain,
% 16.03/11.23 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | ((~nextState(constB189, constB190)) | ((~v102(constB190)) <=> v104(constB190)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | (~nextState(constB189, constB190)) | ((~v102(constB190)) <=> v104(constB190)))),
% 16.03/11.23 inference(rewrite,[status(thm)],[])).
% 16.03/11.23 tff(24061,plain,
% 16.03/11.23 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | ((~nextState(constB189, constB190)) | ((~v102(constB190)) <=> v104(constB190)))),
% 16.03/11.23 inference(quant_inst,[status(thm)],[])).
% 16.03/11.23 tff(24062,plain,
% 16.03/11.23 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | (~nextState(constB189, constB190)) | ((~v102(constB190)) <=> v104(constB190))),
% 16.03/11.23 inference(modus_ponens,[status(thm)],[24061, 24060])).
% 16.03/11.23 tff(24063,plain,
% 16.03/11.23 ((~v102(constB190)) <=> v104(constB190)),
% 16.03/11.23 inference(unit_resolution,[status(thm)],[24062, 24048, 512])).
% 16.03/11.23 tff(24064,plain,
% 16.03/11.23 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB189, constB190)) | (v104(constB190) <=> v1(constB189)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | (~nextState(constB189, constB190)) | (v104(constB190) <=> v1(constB189)))),
% 16.03/11.23 inference(rewrite,[status(thm)],[])).
% 16.03/11.23 tff(24065,plain,
% 16.03/11.23 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB189, constB190)) | (v104(constB190) <=> v1(constB189)))),
% 16.03/11.23 inference(quant_inst,[status(thm)],[])).
% 16.03/11.23 tff(24066,plain,
% 16.03/11.23 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | (~nextState(constB189, constB190)) | (v104(constB190) <=> v1(constB189))),
% 16.03/11.23 inference(modus_ponens,[status(thm)],[24065, 24064])).
% 16.03/11.23 tff(24067,plain,
% 16.03/11.23 (v104(constB190) <=> v1(constB189)),
% 16.03/11.23 inference(unit_resolution,[status(thm)],[24066, 24048, 526])).
% 16.03/11.23 tff(24068,plain,
% 16.03/11.23 ((~v1(constB189)) <=> (~v1(constB189))),
% 16.03/11.23 inference(rewrite,[status(thm)],[])).
% 16.03/11.23 tff(24069,axiom,(~v1(constB189)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_189')).
% 16.03/11.23 tff(24070,plain,
% 16.03/11.23 (~v1(constB189)),
% 16.03/11.23 inference(modus_ponens,[status(thm)],[24069, 24068])).
% 16.03/11.23 tff(24071,plain,
% 16.03/11.23 ((~(v104(constB190) <=> v1(constB189))) | (~v104(constB190)) | v1(constB189)),
% 16.03/11.23 inference(tautology,[status(thm)],[])).
% 16.03/11.23 tff(24072,plain,
% 16.03/11.23 ((~(v104(constB190) <=> v1(constB189))) | (~v104(constB190))),
% 16.03/11.23 inference(unit_resolution,[status(thm)],[24071, 24070])).
% 16.03/11.23 tff(24073,plain,
% 16.03/11.23 (~v104(constB190)),
% 16.03/11.23 inference(unit_resolution,[status(thm)],[24072, 24067])).
% 16.03/11.23 tff(24074,plain,
% 16.03/11.23 ((~((~v102(constB190)) <=> v104(constB190))) | v102(constB190) | v104(constB190)),
% 16.03/11.23 inference(tautology,[status(thm)],[])).
% 16.03/11.23 tff(24075,plain,
% 16.03/11.23 (v102(constB190)),
% 16.03/11.23 inference(unit_resolution,[status(thm)],[24074, 24073, 24063])).
% 16.03/11.23 tff(24076,plain,
% 16.03/11.23 (v1(constB190) <=> v1(constB190)),
% 16.03/11.23 inference(rewrite,[status(thm)],[])).
% 16.03/11.23 tff(24077,axiom,(v1(constB190)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_190')).
% 16.03/11.23 tff(24078,plain,
% 16.03/11.23 (v1(constB190)),
% 16.03/11.23 inference(modus_ponens,[status(thm)],[24077, 24076])).
% 16.03/11.23 tff(24079,plain,
% 16.03/11.23 ((~((~v1(constB190)) | (~v102(constB190)))) | (~v1(constB190)) | (~v102(constB190))),
% 16.03/11.23 inference(tautology,[status(thm)],[])).
% 16.03/11.23 tff(24080,plain,
% 16.03/11.23 ((~((~v1(constB190)) | (~v102(constB190)))) | (~v102(constB190))),
% 16.03/11.23 inference(unit_resolution,[status(thm)],[24079, 24078])).
% 16.03/11.23 tff(24081,plain,
% 16.03/11.23 (~((~v1(constB190)) | (~v102(constB190)))),
% 16.03/11.23 inference(unit_resolution,[status(thm)],[24080, 24075])).
% 16.03/11.23 tff(24082,plain,
% 16.03/11.23 ((~(v101(constB190) <=> (~((~v1(constB190)) | (~v102(constB190)))))) | v101(constB190) | ((~v1(constB190)) | (~v102(constB190)))),
% 16.03/11.23 inference(tautology,[status(thm)],[])).
% 16.03/11.23 tff(24083,plain,
% 16.03/11.23 (v101(constB190)),
% 16.03/11.23 inference(unit_resolution,[status(thm)],[24082, 24081, 24059])).
% 16.03/11.23 tff(24084,plain,
% 16.03/11.23 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | ((~nextState(constB189, constB190)) | (v110(constB190) <=> v108(constB189)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | (~nextState(constB189, constB190)) | (v110(constB190) <=> v108(constB189)))),
% 16.03/11.23 inference(rewrite,[status(thm)],[])).
% 16.03/11.23 tff(24085,plain,
% 16.03/11.23 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | ((~nextState(constB189, constB190)) | (v110(constB190) <=> v108(constB189)))),
% 16.03/11.23 inference(quant_inst,[status(thm)],[])).
% 16.03/11.23 tff(24086,plain,
% 16.03/11.23 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | (~nextState(constB189, constB190)) | (v110(constB190) <=> v108(constB189))),
% 16.03/11.23 inference(modus_ponens,[status(thm)],[24085, 24084])).
% 16.03/11.23 tff(24087,plain,
% 16.03/11.23 (v110(constB190) <=> v108(constB189)),
% 16.03/11.23 inference(unit_resolution,[status(thm)],[24086, 24048, 556])).
% 16.03/11.23 tff(24088,plain,
% 16.03/11.23 ((~![VarCurr: $i] : (v108(VarCurr) <=> (v111(VarCurr) | v112(VarCurr)))) | (v108(constB189) <=> (v111(constB189) | v112(constB189)))),
% 16.03/11.23 inference(quant_inst,[status(thm)],[])).
% 16.03/11.23 tff(24089,plain,
% 16.03/11.23 (v108(constB189) <=> (v111(constB189) | v112(constB189))),
% 16.03/11.23 inference(unit_resolution,[status(thm)],[24088, 567])).
% 16.03/11.23 tff(24090,plain,
% 16.03/11.23 ((~![VarCurr: $i] : (v112(VarCurr) <=> (~((~v113(VarCurr)) | (~v126(VarCurr)))))) | (v112(constB189) <=> (~((~v113(constB189)) | (~v126(constB189)))))),
% 16.03/11.23 inference(quant_inst,[status(thm)],[])).
% 16.03/11.23 tff(24091,plain,
% 16.03/11.23 (v112(constB189) <=> (~((~v113(constB189)) | (~v126(constB189))))),
% 16.03/11.23 inference(unit_resolution,[status(thm)],[24090, 579])).
% 16.03/11.23 tff(24092,plain,
% 16.03/11.23 ((~![VarCurr: $i] : (v113(VarCurr) <=> (v114(VarCurr) | v125(VarCurr)))) | (v113(constB189) <=> (v114(constB189) | v125(constB189)))),
% 16.03/11.23 inference(quant_inst,[status(thm)],[])).
% 16.03/11.23 tff(24093,plain,
% 16.03/11.23 (v113(constB189) <=> (v114(constB189) | v125(constB189))),
% 16.03/11.23 inference(unit_resolution,[status(thm)],[24092, 588])).
% 16.03/11.23 tff(24094,plain,
% 16.03/11.23 ((~![VarCurr: $i] : (v114(VarCurr) <=> (v115(VarCurr) | v124(VarCurr)))) | (v114(constB189) <=> (v115(constB189) | v124(constB189)))),
% 16.03/11.23 inference(quant_inst,[status(thm)],[])).
% 16.03/11.23 tff(24095,plain,
% 16.03/11.23 (v114(constB189) <=> (v115(constB189) | v124(constB189))),
% 16.03/11.23 inference(unit_resolution,[status(thm)],[24094, 597])).
% 16.03/11.23 tff(24096,plain,
% 16.03/11.23 ((~![VarCurr: $i] : (v115(VarCurr) <=> (v116(VarCurr) | v123(VarCurr)))) | (v115(constB189) <=> (v116(constB189) | v123(constB189)))),
% 16.03/11.23 inference(quant_inst,[status(thm)],[])).
% 16.03/11.23 tff(24097,plain,
% 16.03/11.23 (v115(constB189) <=> (v116(constB189) | v123(constB189))),
% 16.03/11.23 inference(unit_resolution,[status(thm)],[24096, 606])).
% 16.03/11.23 tff(24098,plain,
% 16.03/11.23 ((~![VarCurr: $i] : (v116(VarCurr) <=> (v117(VarCurr) | v122(VarCurr)))) | (v116(constB189) <=> (v117(constB189) | v122(constB189)))),
% 16.03/11.23 inference(quant_inst,[status(thm)],[])).
% 16.03/11.23 tff(24099,plain,
% 16.03/11.23 (v116(constB189) <=> (v117(constB189) | v122(constB189))),
% 16.03/11.23 inference(unit_resolution,[status(thm)],[24098, 719])).
% 16.03/11.23 tff(24100,plain,
% 16.03/11.23 ((~![VarCurr: $i] : (v117(VarCurr) <=> (v118(VarCurr) | v121(VarCurr)))) | (v117(constB189) <=> (v118(constB189) | v121(constB189)))),
% 16.03/11.23 inference(quant_inst,[status(thm)],[])).
% 16.03/11.23 tff(24101,plain,
% 16.03/11.23 (v117(constB189) <=> (v118(constB189) | v121(constB189))),
% 16.03/11.23 inference(unit_resolution,[status(thm)],[24100, 834])).
% 16.03/11.23 tff(24102,plain,
% 16.03/11.23 (((~![VarCurr: $i] : (v121(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex1)))))) | (v121(constB189) <=> (~(v90(constB189, bitIndex2) | (~v90(constB189, bitIndex1)) | v90(constB189, bitIndex0))))) <=> ((~![VarCurr: $i] : (v121(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex1)))))) | (v121(constB189) <=> (~(v90(constB189, bitIndex2) | (~v90(constB189, bitIndex1)) | v90(constB189, bitIndex0)))))),
% 16.03/11.23 inference(rewrite,[status(thm)],[])).
% 16.03/11.23 tff(24103,plain,
% 16.03/11.23 ((v121(constB189) <=> (~(v90(constB189, bitIndex0) | v90(constB189, bitIndex2) | (~v90(constB189, bitIndex1))))) <=> (v121(constB189) <=> (~(v90(constB189, bitIndex2) | (~v90(constB189, bitIndex1)) | v90(constB189, bitIndex0))))),
% 16.03/11.23 inference(rewrite,[status(thm)],[])).
% 16.03/11.23 tff(24104,plain,
% 16.03/11.23 (((~![VarCurr: $i] : (v121(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex1)))))) | (v121(constB189) <=> (~(v90(constB189, bitIndex0) | v90(constB189, bitIndex2) | (~v90(constB189, bitIndex1)))))) <=> ((~![VarCurr: $i] : (v121(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex1)))))) | (v121(constB189) <=> (~(v90(constB189, bitIndex2) | (~v90(constB189, bitIndex1)) | v90(constB189, bitIndex0)))))),
% 16.03/11.23 inference(monotonicity,[status(thm)],[24103])).
% 16.03/11.23 tff(24105,plain,
% 16.03/11.23 (((~![VarCurr: $i] : (v121(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex1)))))) | (v121(constB189) <=> (~(v90(constB189, bitIndex0) | v90(constB189, bitIndex2) | (~v90(constB189, bitIndex1)))))) <=> ((~![VarCurr: $i] : (v121(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex1)))))) | (v121(constB189) <=> (~(v90(constB189, bitIndex2) | (~v90(constB189, bitIndex1)) | v90(constB189, bitIndex0)))))),
% 16.03/11.23 inference(transitivity,[status(thm)],[24104, 24102])).
% 16.03/11.23 tff(24106,plain,
% 16.03/11.23 ((~![VarCurr: $i] : (v121(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex1)))))) | (v121(constB189) <=> (~(v90(constB189, bitIndex0) | v90(constB189, bitIndex2) | (~v90(constB189, bitIndex1)))))),
% 16.03/11.23 inference(quant_inst,[status(thm)],[])).
% 16.03/11.23 tff(24107,plain,
% 16.03/11.23 ((~![VarCurr: $i] : (v121(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex1)))))) | (v121(constB189) <=> (~(v90(constB189, bitIndex2) | (~v90(constB189, bitIndex1)) | v90(constB189, bitIndex0))))),
% 16.03/11.24 inference(modus_ponens,[status(thm)],[24106, 24105])).
% 16.03/11.24 tff(24108,plain,
% 16.03/11.24 (v121(constB189) <=> (~(v90(constB189, bitIndex2) | (~v90(constB189, bitIndex1)) | v90(constB189, bitIndex0)))),
% 16.03/11.24 inference(unit_resolution,[status(thm)],[24107, 849])).
% 16.03/11.24 tff(24109,plain,
% 16.03/11.24 (nextState(constB188, constB189) <=> nextState(constB188, constB189)),
% 16.03/11.24 inference(rewrite,[status(thm)],[])).
% 16.03/11.24 tff(24110,axiom,(nextState(constB188, constB189)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_188')).
% 16.03/11.24 tff(24111,plain,
% 16.03/11.24 (nextState(constB188, constB189)),
% 16.03/11.24 inference(modus_ponens,[status(thm)],[24110, 24109])).
% 16.03/11.24 tff(24112,plain,
% 16.03/11.24 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB188, constB189)) | (v100(constB189) <=> (~((~v101(constB189)) | (~v110(constB189))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB188, constB189)) | (v100(constB189) <=> (~((~v101(constB189)) | (~v110(constB189))))))),
% 16.03/11.24 inference(rewrite,[status(thm)],[])).
% 16.03/11.24 tff(24113,plain,
% 16.03/11.24 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB188, constB189)) | (v100(constB189) <=> (~((~v101(constB189)) | (~v110(constB189))))))),
% 16.03/11.24 inference(quant_inst,[status(thm)],[])).
% 16.03/11.24 tff(24114,plain,
% 16.03/11.24 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB188, constB189)) | (v100(constB189) <=> (~((~v101(constB189)) | (~v110(constB189)))))),
% 16.03/11.24 inference(modus_ponens,[status(thm)],[24113, 24112])).
% 16.03/11.24 tff(24115,plain,
% 16.03/11.24 (v100(constB189) <=> (~((~v101(constB189)) | (~v110(constB189))))),
% 16.03/11.24 inference(unit_resolution,[status(thm)],[24114, 24111, 430])).
% 16.03/11.24 tff(24116,plain,
% 16.03/11.24 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB188, constB189)) | (v101(constB189) <=> (~((~v1(constB189)) | (~v102(constB189))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB188, constB189)) | (v101(constB189) <=> (~((~v1(constB189)) | (~v102(constB189))))))),
% 16.03/11.24 inference(rewrite,[status(thm)],[])).
% 16.03/11.24 tff(24117,plain,
% 16.03/11.24 (((~nextState(constB188, constB189)) | (v101(constB189) <=> (~((~v102(constB189)) | (~v1(constB189)))))) <=> ((~nextState(constB188, constB189)) | (v101(constB189) <=> (~((~v1(constB189)) | (~v102(constB189))))))),
% 16.03/11.24 inference(rewrite,[status(thm)],[])).
% 16.03/11.24 tff(24118,plain,
% 16.03/11.24 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB188, constB189)) | (v101(constB189) <=> (~((~v102(constB189)) | (~v1(constB189))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB188, constB189)) | (v101(constB189) <=> (~((~v1(constB189)) | (~v102(constB189)))))))),
% 16.03/11.24 inference(monotonicity,[status(thm)],[24117])).
% 16.03/11.24 tff(24119,plain,
% 16.03/11.24 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB188, constB189)) | (v101(constB189) <=> (~((~v102(constB189)) | (~v1(constB189))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB188, constB189)) | (v101(constB189) <=> (~((~v1(constB189)) | (~v102(constB189))))))),
% 16.03/11.24 inference(transitivity,[status(thm)],[24118, 24116])).
% 16.03/11.24 tff(24120,plain,
% 16.03/11.24 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB188, constB189)) | (v101(constB189) <=> (~((~v102(constB189)) | (~v1(constB189))))))),
% 16.03/11.24 inference(quant_inst,[status(thm)],[])).
% 16.03/11.24 tff(24121,plain,
% 16.03/11.24 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB188, constB189)) | (v101(constB189) <=> (~((~v1(constB189)) | (~v102(constB189)))))),
% 16.03/11.24 inference(modus_ponens,[status(thm)],[24120, 24119])).
% 16.03/11.24 tff(24122,plain,
% 16.03/11.24 (v101(constB189) <=> (~((~v1(constB189)) | (~v102(constB189))))),
% 16.03/11.24 inference(unit_resolution,[status(thm)],[24121, 24111, 450])).
% 16.03/11.24 tff(24123,plain,
% 16.03/11.24 (((~v1(constB189)) | (~v102(constB189))) | v1(constB189)),
% 16.03/11.24 inference(tautology,[status(thm)],[])).
% 16.03/11.24 tff(24124,plain,
% 16.03/11.24 ((~v1(constB189)) | (~v102(constB189))),
% 16.03/11.24 inference(unit_resolution,[status(thm)],[24123, 24070])).
% 16.03/11.24 tff(24125,plain,
% 16.03/11.24 ((~(v101(constB189) <=> (~((~v1(constB189)) | (~v102(constB189)))))) | (~v101(constB189)) | (~((~v1(constB189)) | (~v102(constB189))))),
% 16.03/11.24 inference(tautology,[status(thm)],[])).
% 16.03/11.24 tff(24126,plain,
% 16.03/11.24 ((~(v101(constB189) <=> (~((~v1(constB189)) | (~v102(constB189)))))) | (~v101(constB189))),
% 16.03/11.24 inference(unit_resolution,[status(thm)],[24125, 24124])).
% 16.03/11.24 tff(24127,plain,
% 16.03/11.24 (~v101(constB189)),
% 16.03/11.24 inference(unit_resolution,[status(thm)],[24126, 24122])).
% 16.03/11.24 tff(24128,plain,
% 16.03/11.24 (((~v101(constB189)) | (~v110(constB189))) | v101(constB189)),
% 16.03/11.24 inference(tautology,[status(thm)],[])).
% 16.03/11.24 tff(24129,plain,
% 16.03/11.24 ((~v101(constB189)) | (~v110(constB189))),
% 16.03/11.24 inference(unit_resolution,[status(thm)],[24128, 24127])).
% 16.03/11.24 tff(24130,plain,
% 16.03/11.24 ((~(v100(constB189) <=> (~((~v101(constB189)) | (~v110(constB189)))))) | (~v100(constB189)) | (~((~v101(constB189)) | (~v110(constB189))))),
% 16.03/11.24 inference(tautology,[status(thm)],[])).
% 16.03/11.24 tff(24131,plain,
% 16.03/11.24 (~v100(constB189)),
% 16.03/11.24 inference(unit_resolution,[status(thm)],[24130, 24129, 24115])).
% 16.03/11.24 tff(24132,plain,
% 16.03/11.24 (((~![VarCurr: $i, VarNext: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v90(VarCurr, B))))) | (v100(constB189) | (~nextState(constB188, constB189)) | ![B: $i] : ((~less_3(B)) | (v90(constB189, B) <=> v90(constB188, B))))) <=> ((~![VarCurr: $i, VarNext: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v90(VarCurr, B))))) | v100(constB189) | (~nextState(constB188, constB189)) | ![B: $i] : ((~less_3(B)) | (v90(constB189, B) <=> v90(constB188, B))))),
% 16.03/11.24 inference(rewrite,[status(thm)],[])).
% 16.03/11.24 tff(24133,plain,
% 16.03/11.24 ((~![VarCurr: $i, VarNext: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v90(VarCurr, B))))) | (v100(constB189) | (~nextState(constB188, constB189)) | ![B: $i] : ((~less_3(B)) | (v90(constB189, B) <=> v90(constB188, B))))),
% 16.03/11.24 inference(quant_inst,[status(thm)],[])).
% 16.03/11.24 tff(24134,plain,
% 16.03/11.24 ((~![VarCurr: $i, VarNext: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v90(VarCurr, B))))) | v100(constB189) | (~nextState(constB188, constB189)) | ![B: $i] : ((~less_3(B)) | (v90(constB189, B) <=> v90(constB188, B)))),
% 16.03/11.24 inference(modus_ponens,[status(thm)],[24133, 24132])).
% 16.03/11.24 tff(24135,plain,
% 16.03/11.24 (v100(constB189) | ![B: $i] : ((~less_3(B)) | (v90(constB189, B) <=> v90(constB188, B)))),
% 16.03/11.24 inference(unit_resolution,[status(thm)],[24134, 24111, 479])).
% 16.03/11.24 tff(24136,plain,
% 16.03/11.24 (![B: $i] : ((~less_3(B)) | (v90(constB189, B) <=> v90(constB188, B)))),
% 16.03/11.24 inference(unit_resolution,[status(thm)],[24135, 24131])).
% 16.03/11.24 tff(24137,plain,
% 16.03/11.24 (((~![B: $i] : ((~less_3(B)) | (v90(constB189, B) <=> v90(constB188, B)))) | ((~less_3(bitIndex2)) | (v90(constB189, bitIndex2) <=> v90(constB188, bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v90(constB189, B) <=> v90(constB188, B)))) | (~less_3(bitIndex2)) | (v90(constB189, bitIndex2) <=> v90(constB188, bitIndex2)))),
% 16.03/11.24 inference(rewrite,[status(thm)],[])).
% 16.03/11.24 tff(24138,plain,
% 16.03/11.24 ((~![B: $i] : ((~less_3(B)) | (v90(constB189, B) <=> v90(constB188, B)))) | ((~less_3(bitIndex2)) | (v90(constB189, bitIndex2) <=> v90(constB188, bitIndex2)))),
% 16.03/11.24 inference(quant_inst,[status(thm)],[])).
% 16.03/11.24 tff(24139,plain,
% 16.03/11.24 ((~![B: $i] : ((~less_3(B)) | (v90(constB189, B) <=> v90(constB188, B)))) | (~less_3(bitIndex2)) | (v90(constB189, bitIndex2) <=> v90(constB188, bitIndex2))),
% 16.03/11.24 inference(modus_ponens,[status(thm)],[24138, 24137])).
% 16.03/11.24 tff(24140,plain,
% 16.03/11.24 (v90(constB189, bitIndex2) <=> v90(constB188, bitIndex2)),
% 16.03/11.24 inference(unit_resolution,[status(thm)],[24139, 413, 24136])).
% 16.03/11.24 tff(24141,plain,
% 16.03/11.24 (nextState(constB187, constB188) <=> nextState(constB187, constB188)),
% 16.03/11.24 inference(rewrite,[status(thm)],[])).
% 16.03/11.24 tff(24142,axiom,(nextState(constB187, constB188)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_187')).
% 16.03/11.24 tff(24143,plain,
% 16.03/11.24 (nextState(constB187, constB188)),
% 16.03/11.24 inference(modus_ponens,[status(thm)],[24142, 24141])).
% 16.03/11.24 tff(24144,plain,
% 16.03/11.24 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB187, constB188)) | (v100(constB188) <=> (~((~v101(constB188)) | (~v110(constB188))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB187, constB188)) | (v100(constB188) <=> (~((~v101(constB188)) | (~v110(constB188))))))),
% 16.03/11.24 inference(rewrite,[status(thm)],[])).
% 16.03/11.24 tff(24145,plain,
% 16.03/11.24 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB187, constB188)) | (v100(constB188) <=> (~((~v101(constB188)) | (~v110(constB188))))))),
% 16.03/11.24 inference(quant_inst,[status(thm)],[])).
% 16.03/11.24 tff(24146,plain,
% 16.03/11.24 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB187, constB188)) | (v100(constB188) <=> (~((~v101(constB188)) | (~v110(constB188)))))),
% 16.03/11.24 inference(modus_ponens,[status(thm)],[24145, 24144])).
% 16.03/11.24 tff(24147,plain,
% 16.03/11.24 (v100(constB188) <=> (~((~v101(constB188)) | (~v110(constB188))))),
% 16.03/11.24 inference(unit_resolution,[status(thm)],[24146, 24143, 430])).
% 16.03/11.24 tff(24148,plain,
% 16.03/11.24 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB187, constB188)) | (v101(constB188) <=> (~((~v1(constB188)) | (~v102(constB188))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB187, constB188)) | (v101(constB188) <=> (~((~v1(constB188)) | (~v102(constB188))))))),
% 16.03/11.24 inference(rewrite,[status(thm)],[])).
% 16.03/11.24 tff(24149,plain,
% 16.03/11.24 (((~nextState(constB187, constB188)) | (v101(constB188) <=> (~((~v102(constB188)) | (~v1(constB188)))))) <=> ((~nextState(constB187, constB188)) | (v101(constB188) <=> (~((~v1(constB188)) | (~v102(constB188))))))),
% 16.03/11.24 inference(rewrite,[status(thm)],[])).
% 16.03/11.24 tff(24150,plain,
% 16.03/11.24 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB187, constB188)) | (v101(constB188) <=> (~((~v102(constB188)) | (~v1(constB188))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB187, constB188)) | (v101(constB188) <=> (~((~v1(constB188)) | (~v102(constB188)))))))),
% 16.03/11.24 inference(monotonicity,[status(thm)],[24149])).
% 16.03/11.24 tff(24151,plain,
% 16.03/11.24 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB187, constB188)) | (v101(constB188) <=> (~((~v102(constB188)) | (~v1(constB188))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB187, constB188)) | (v101(constB188) <=> (~((~v1(constB188)) | (~v102(constB188))))))),
% 16.03/11.24 inference(transitivity,[status(thm)],[24150, 24148])).
% 16.03/11.24 tff(24152,plain,
% 16.03/11.24 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB187, constB188)) | (v101(constB188) <=> (~((~v102(constB188)) | (~v1(constB188))))))),
% 16.03/11.24 inference(quant_inst,[status(thm)],[])).
% 16.03/11.24 tff(24153,plain,
% 16.03/11.24 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB187, constB188)) | (v101(constB188) <=> (~((~v1(constB188)) | (~v102(constB188)))))),
% 16.03/11.24 inference(modus_ponens,[status(thm)],[24152, 24151])).
% 16.03/11.24 tff(24154,plain,
% 16.03/11.24 (v101(constB188) <=> (~((~v1(constB188)) | (~v102(constB188))))),
% 16.03/11.24 inference(unit_resolution,[status(thm)],[24153, 24143, 450])).
% 16.03/11.24 tff(24155,plain,
% 16.03/11.24 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | ((~nextState(constB187, constB188)) | ((~v102(constB188)) <=> v104(constB188)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | (~nextState(constB187, constB188)) | ((~v102(constB188)) <=> v104(constB188)))),
% 16.03/11.24 inference(rewrite,[status(thm)],[])).
% 16.03/11.24 tff(24156,plain,
% 16.03/11.24 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | ((~nextState(constB187, constB188)) | ((~v102(constB188)) <=> v104(constB188)))),
% 16.03/11.24 inference(quant_inst,[status(thm)],[])).
% 16.03/11.24 tff(24157,plain,
% 16.03/11.24 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | (~nextState(constB187, constB188)) | ((~v102(constB188)) <=> v104(constB188))),
% 16.03/11.24 inference(modus_ponens,[status(thm)],[24156, 24155])).
% 16.03/11.24 tff(24158,plain,
% 16.03/11.24 ((~v102(constB188)) <=> v104(constB188)),
% 16.03/11.24 inference(unit_resolution,[status(thm)],[24157, 24143, 512])).
% 16.03/11.24 tff(24159,plain,
% 16.03/11.24 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB187, constB188)) | (v104(constB188) <=> v1(constB187)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | (~nextState(constB187, constB188)) | (v104(constB188) <=> v1(constB187)))),
% 16.03/11.24 inference(rewrite,[status(thm)],[])).
% 16.03/11.24 tff(24160,plain,
% 16.03/11.24 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB187, constB188)) | (v104(constB188) <=> v1(constB187)))),
% 16.03/11.24 inference(quant_inst,[status(thm)],[])).
% 16.03/11.24 tff(24161,plain,
% 16.03/11.24 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | (~nextState(constB187, constB188)) | (v104(constB188) <=> v1(constB187))),
% 16.03/11.24 inference(modus_ponens,[status(thm)],[24160, 24159])).
% 16.03/11.24 tff(24162,plain,
% 16.03/11.24 (v104(constB188) <=> v1(constB187)),
% 16.03/11.24 inference(unit_resolution,[status(thm)],[24161, 24143, 526])).
% 16.03/11.24 tff(24163,plain,
% 16.03/11.24 ((~v1(constB187)) <=> (~v1(constB187))),
% 16.03/11.24 inference(rewrite,[status(thm)],[])).
% 16.03/11.24 tff(24164,axiom,(~v1(constB187)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_187')).
% 16.03/11.24 tff(24165,plain,
% 16.03/11.24 (~v1(constB187)),
% 16.03/11.24 inference(modus_ponens,[status(thm)],[24164, 24163])).
% 16.03/11.24 tff(24166,plain,
% 16.03/11.24 ((~(v104(constB188) <=> v1(constB187))) | (~v104(constB188)) | v1(constB187)),
% 16.03/11.24 inference(tautology,[status(thm)],[])).
% 16.03/11.24 tff(24167,plain,
% 16.03/11.24 ((~(v104(constB188) <=> v1(constB187))) | (~v104(constB188))),
% 16.03/11.24 inference(unit_resolution,[status(thm)],[24166, 24165])).
% 16.03/11.24 tff(24168,plain,
% 16.03/11.24 (~v104(constB188)),
% 16.03/11.24 inference(unit_resolution,[status(thm)],[24167, 24162])).
% 16.03/11.24 tff(24169,plain,
% 16.03/11.24 ((~((~v102(constB188)) <=> v104(constB188))) | v102(constB188) | v104(constB188)),
% 16.03/11.24 inference(tautology,[status(thm)],[])).
% 16.03/11.24 tff(24170,plain,
% 16.03/11.24 (v102(constB188)),
% 16.03/11.24 inference(unit_resolution,[status(thm)],[24169, 24168, 24158])).
% 16.03/11.24 tff(24171,plain,
% 16.03/11.24 (v1(constB188) <=> v1(constB188)),
% 16.03/11.24 inference(rewrite,[status(thm)],[])).
% 16.03/11.24 tff(24172,axiom,(v1(constB188)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_188')).
% 16.03/11.25 tff(24173,plain,
% 16.03/11.25 (v1(constB188)),
% 16.03/11.25 inference(modus_ponens,[status(thm)],[24172, 24171])).
% 16.03/11.25 tff(24174,plain,
% 16.03/11.25 ((~((~v1(constB188)) | (~v102(constB188)))) | (~v1(constB188)) | (~v102(constB188))),
% 16.03/11.25 inference(tautology,[status(thm)],[])).
% 16.03/11.25 tff(24175,plain,
% 16.03/11.25 ((~((~v1(constB188)) | (~v102(constB188)))) | (~v102(constB188))),
% 16.03/11.25 inference(unit_resolution,[status(thm)],[24174, 24173])).
% 16.03/11.25 tff(24176,plain,
% 16.03/11.25 (~((~v1(constB188)) | (~v102(constB188)))),
% 16.03/11.25 inference(unit_resolution,[status(thm)],[24175, 24170])).
% 16.03/11.25 tff(24177,plain,
% 16.03/11.25 ((~(v101(constB188) <=> (~((~v1(constB188)) | (~v102(constB188)))))) | v101(constB188) | ((~v1(constB188)) | (~v102(constB188)))),
% 16.03/11.25 inference(tautology,[status(thm)],[])).
% 16.03/11.25 tff(24178,plain,
% 16.03/11.25 (v101(constB188)),
% 16.03/11.25 inference(unit_resolution,[status(thm)],[24177, 24176, 24154])).
% 16.03/11.25 tff(24179,plain,
% 16.03/11.25 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | ((~nextState(constB187, constB188)) | (v110(constB188) <=> v108(constB187)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | (~nextState(constB187, constB188)) | (v110(constB188) <=> v108(constB187)))),
% 16.03/11.25 inference(rewrite,[status(thm)],[])).
% 16.03/11.25 tff(24180,plain,
% 16.03/11.25 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | ((~nextState(constB187, constB188)) | (v110(constB188) <=> v108(constB187)))),
% 16.03/11.25 inference(quant_inst,[status(thm)],[])).
% 16.03/11.25 tff(24181,plain,
% 16.03/11.25 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | (~nextState(constB187, constB188)) | (v110(constB188) <=> v108(constB187))),
% 16.03/11.25 inference(modus_ponens,[status(thm)],[24180, 24179])).
% 16.03/11.25 tff(24182,plain,
% 16.03/11.25 (v110(constB188) <=> v108(constB187)),
% 16.03/11.25 inference(unit_resolution,[status(thm)],[24181, 24143, 556])).
% 16.03/11.25 tff(24183,plain,
% 16.03/11.25 ((~![VarCurr: $i] : (v108(VarCurr) <=> (v111(VarCurr) | v112(VarCurr)))) | (v108(constB187) <=> (v111(constB187) | v112(constB187)))),
% 16.03/11.25 inference(quant_inst,[status(thm)],[])).
% 16.03/11.25 tff(24184,plain,
% 16.03/11.25 (v108(constB187) <=> (v111(constB187) | v112(constB187))),
% 16.03/11.25 inference(unit_resolution,[status(thm)],[24183, 567])).
% 16.03/11.25 tff(24185,plain,
% 16.03/11.25 ((~![VarCurr: $i] : (v112(VarCurr) <=> (~((~v113(VarCurr)) | (~v126(VarCurr)))))) | (v112(constB187) <=> (~((~v113(constB187)) | (~v126(constB187)))))),
% 16.03/11.25 inference(quant_inst,[status(thm)],[])).
% 16.03/11.25 tff(24186,plain,
% 16.03/11.25 (v112(constB187) <=> (~((~v113(constB187)) | (~v126(constB187))))),
% 16.03/11.25 inference(unit_resolution,[status(thm)],[24185, 579])).
% 16.03/11.25 tff(24187,plain,
% 16.03/11.25 ((~![VarCurr: $i] : (v113(VarCurr) <=> (v114(VarCurr) | v125(VarCurr)))) | (v113(constB187) <=> (v114(constB187) | v125(constB187)))),
% 16.03/11.25 inference(quant_inst,[status(thm)],[])).
% 16.03/11.25 tff(24188,plain,
% 16.03/11.25 (v113(constB187) <=> (v114(constB187) | v125(constB187))),
% 16.03/11.25 inference(unit_resolution,[status(thm)],[24187, 588])).
% 16.03/11.25 tff(24189,plain,
% 16.03/11.25 ((~![VarCurr: $i] : (v114(VarCurr) <=> (v115(VarCurr) | v124(VarCurr)))) | (v114(constB187) <=> (v115(constB187) | v124(constB187)))),
% 16.03/11.25 inference(quant_inst,[status(thm)],[])).
% 16.03/11.25 tff(24190,plain,
% 16.03/11.25 (v114(constB187) <=> (v115(constB187) | v124(constB187))),
% 16.03/11.25 inference(unit_resolution,[status(thm)],[24189, 597])).
% 16.03/11.25 tff(24191,plain,
% 16.03/11.25 ((~![VarCurr: $i] : (v115(VarCurr) <=> (v116(VarCurr) | v123(VarCurr)))) | (v115(constB187) <=> (v116(constB187) | v123(constB187)))),
% 16.03/11.25 inference(quant_inst,[status(thm)],[])).
% 16.03/11.25 tff(24192,plain,
% 16.03/11.25 (v115(constB187) <=> (v116(constB187) | v123(constB187))),
% 16.03/11.25 inference(unit_resolution,[status(thm)],[24191, 606])).
% 16.03/11.25 tff(24193,plain,
% 16.03/11.25 ((~![VarCurr: $i] : (v116(VarCurr) <=> (v117(VarCurr) | v122(VarCurr)))) | (v116(constB187) <=> (v117(constB187) | v122(constB187)))),
% 16.03/11.25 inference(quant_inst,[status(thm)],[])).
% 16.03/11.25 tff(24194,plain,
% 16.03/11.25 (v116(constB187) <=> (v117(constB187) | v122(constB187))),
% 16.03/11.25 inference(unit_resolution,[status(thm)],[24193, 719])).
% 16.03/11.25 tff(24195,plain,
% 16.03/11.25 ((~![VarCurr: $i] : (v117(VarCurr) <=> (v118(VarCurr) | v121(VarCurr)))) | (v117(constB187) <=> (v118(constB187) | v121(constB187)))),
% 16.03/11.25 inference(quant_inst,[status(thm)],[])).
% 16.03/11.25 tff(24196,plain,
% 16.03/11.25 (v117(constB187) <=> (v118(constB187) | v121(constB187))),
% 16.03/11.25 inference(unit_resolution,[status(thm)],[24195, 834])).
% 16.03/11.25 tff(24197,plain,
% 16.03/11.25 ((~![VarCurr: $i] : (v118(VarCurr) <=> (v119(VarCurr) | v120(VarCurr)))) | (v118(constB187) <=> (v119(constB187) | v120(constB187)))),
% 16.03/11.25 inference(quant_inst,[status(thm)],[])).
% 16.03/11.25 tff(24198,plain,
% 16.03/11.25 (v118(constB187) <=> (v119(constB187) | v120(constB187))),
% 16.03/11.25 inference(unit_resolution,[status(thm)],[24197, 951])).
% 16.03/11.25 tff(24199,plain,
% 16.03/11.25 (((~![VarCurr: $i] : (v120(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)))))) | (v120(constB187) <=> (~(v90(constB187, bitIndex2) | v90(constB187, bitIndex1) | (~v90(constB187, bitIndex0)))))) <=> ((~![VarCurr: $i] : (v120(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)))))) | (v120(constB187) <=> (~(v90(constB187, bitIndex2) | v90(constB187, bitIndex1) | (~v90(constB187, bitIndex0))))))),
% 16.03/11.25 inference(rewrite,[status(thm)],[])).
% 16.03/11.25 tff(24200,plain,
% 16.03/11.25 ((v120(constB187) <=> (~(v90(constB187, bitIndex1) | v90(constB187, bitIndex2) | (~v90(constB187, bitIndex0))))) <=> (v120(constB187) <=> (~(v90(constB187, bitIndex2) | v90(constB187, bitIndex1) | (~v90(constB187, bitIndex0)))))),
% 16.03/11.25 inference(rewrite,[status(thm)],[])).
% 16.03/11.25 tff(24201,plain,
% 16.03/11.25 (((~![VarCurr: $i] : (v120(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)))))) | (v120(constB187) <=> (~(v90(constB187, bitIndex1) | v90(constB187, bitIndex2) | (~v90(constB187, bitIndex0)))))) <=> ((~![VarCurr: $i] : (v120(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)))))) | (v120(constB187) <=> (~(v90(constB187, bitIndex2) | v90(constB187, bitIndex1) | (~v90(constB187, bitIndex0))))))),
% 16.03/11.25 inference(monotonicity,[status(thm)],[24200])).
% 16.03/11.25 tff(24202,plain,
% 16.03/11.25 (((~![VarCurr: $i] : (v120(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)))))) | (v120(constB187) <=> (~(v90(constB187, bitIndex1) | v90(constB187, bitIndex2) | (~v90(constB187, bitIndex0)))))) <=> ((~![VarCurr: $i] : (v120(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)))))) | (v120(constB187) <=> (~(v90(constB187, bitIndex2) | v90(constB187, bitIndex1) | (~v90(constB187, bitIndex0))))))),
% 16.03/11.25 inference(transitivity,[status(thm)],[24201, 24199])).
% 16.03/11.25 tff(24203,plain,
% 16.03/11.25 ((~![VarCurr: $i] : (v120(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)))))) | (v120(constB187) <=> (~(v90(constB187, bitIndex1) | v90(constB187, bitIndex2) | (~v90(constB187, bitIndex0)))))),
% 16.03/11.25 inference(quant_inst,[status(thm)],[])).
% 16.03/11.25 tff(24204,plain,
% 16.03/11.25 ((~![VarCurr: $i] : (v120(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)))))) | (v120(constB187) <=> (~(v90(constB187, bitIndex2) | v90(constB187, bitIndex1) | (~v90(constB187, bitIndex0)))))),
% 16.03/11.25 inference(modus_ponens,[status(thm)],[24203, 24202])).
% 16.03/11.25 tff(24205,plain,
% 16.03/11.25 (v120(constB187) <=> (~(v90(constB187, bitIndex2) | v90(constB187, bitIndex1) | (~v90(constB187, bitIndex0))))),
% 16.03/11.25 inference(unit_resolution,[status(thm)],[24204, 966])).
% 16.03/11.25 tff(24206,plain,
% 16.03/11.25 (nextState(constB186, constB187) <=> nextState(constB186, constB187)),
% 16.03/11.25 inference(rewrite,[status(thm)],[])).
% 16.03/11.25 tff(24207,axiom,(nextState(constB186, constB187)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_186')).
% 16.03/11.25 tff(24208,plain,
% 16.03/11.25 (nextState(constB186, constB187)),
% 16.03/11.25 inference(modus_ponens,[status(thm)],[24207, 24206])).
% 16.03/11.25 tff(24209,plain,
% 16.03/11.25 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB186, constB187)) | (v100(constB187) <=> (~((~v101(constB187)) | (~v110(constB187))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB186, constB187)) | (v100(constB187) <=> (~((~v101(constB187)) | (~v110(constB187))))))),
% 16.03/11.25 inference(rewrite,[status(thm)],[])).
% 16.03/11.25 tff(24210,plain,
% 16.03/11.25 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB186, constB187)) | (v100(constB187) <=> (~((~v101(constB187)) | (~v110(constB187))))))),
% 16.03/11.25 inference(quant_inst,[status(thm)],[])).
% 16.03/11.25 tff(24211,plain,
% 16.03/11.25 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB186, constB187)) | (v100(constB187) <=> (~((~v101(constB187)) | (~v110(constB187)))))),
% 16.03/11.25 inference(modus_ponens,[status(thm)],[24210, 24209])).
% 16.03/11.25 tff(24212,plain,
% 16.03/11.25 (v100(constB187) <=> (~((~v101(constB187)) | (~v110(constB187))))),
% 16.03/11.25 inference(unit_resolution,[status(thm)],[24211, 24208, 430])).
% 16.03/11.25 tff(24213,plain,
% 16.03/11.25 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB186, constB187)) | (v101(constB187) <=> (~((~v1(constB187)) | (~v102(constB187))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB186, constB187)) | (v101(constB187) <=> (~((~v1(constB187)) | (~v102(constB187))))))),
% 16.03/11.25 inference(rewrite,[status(thm)],[])).
% 16.03/11.25 tff(24214,plain,
% 16.03/11.25 (((~nextState(constB186, constB187)) | (v101(constB187) <=> (~((~v102(constB187)) | (~v1(constB187)))))) <=> ((~nextState(constB186, constB187)) | (v101(constB187) <=> (~((~v1(constB187)) | (~v102(constB187))))))),
% 16.03/11.25 inference(rewrite,[status(thm)],[])).
% 16.03/11.25 tff(24215,plain,
% 16.03/11.25 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB186, constB187)) | (v101(constB187) <=> (~((~v102(constB187)) | (~v1(constB187))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB186, constB187)) | (v101(constB187) <=> (~((~v1(constB187)) | (~v102(constB187)))))))),
% 16.03/11.25 inference(monotonicity,[status(thm)],[24214])).
% 16.03/11.25 tff(24216,plain,
% 16.03/11.25 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB186, constB187)) | (v101(constB187) <=> (~((~v102(constB187)) | (~v1(constB187))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB186, constB187)) | (v101(constB187) <=> (~((~v1(constB187)) | (~v102(constB187))))))),
% 16.03/11.25 inference(transitivity,[status(thm)],[24215, 24213])).
% 16.03/11.25 tff(24217,plain,
% 16.03/11.25 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB186, constB187)) | (v101(constB187) <=> (~((~v102(constB187)) | (~v1(constB187))))))),
% 16.03/11.25 inference(quant_inst,[status(thm)],[])).
% 16.03/11.25 tff(24218,plain,
% 16.03/11.25 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB186, constB187)) | (v101(constB187) <=> (~((~v1(constB187)) | (~v102(constB187)))))),
% 16.03/11.25 inference(modus_ponens,[status(thm)],[24217, 24216])).
% 16.03/11.25 tff(24219,plain,
% 16.03/11.25 (v101(constB187) <=> (~((~v1(constB187)) | (~v102(constB187))))),
% 16.03/11.25 inference(unit_resolution,[status(thm)],[24218, 24208, 450])).
% 16.03/11.25 tff(24220,plain,
% 16.03/11.25 (((~v1(constB187)) | (~v102(constB187))) | v1(constB187)),
% 16.03/11.25 inference(tautology,[status(thm)],[])).
% 16.03/11.25 tff(24221,plain,
% 16.03/11.25 ((~v1(constB187)) | (~v102(constB187))),
% 16.03/11.25 inference(unit_resolution,[status(thm)],[24220, 24165])).
% 16.03/11.25 tff(24222,plain,
% 16.03/11.25 ((~(v101(constB187) <=> (~((~v1(constB187)) | (~v102(constB187)))))) | (~v101(constB187)) | (~((~v1(constB187)) | (~v102(constB187))))),
% 16.03/11.25 inference(tautology,[status(thm)],[])).
% 16.03/11.25 tff(24223,plain,
% 16.03/11.25 ((~(v101(constB187) <=> (~((~v1(constB187)) | (~v102(constB187)))))) | (~v101(constB187))),
% 16.03/11.25 inference(unit_resolution,[status(thm)],[24222, 24221])).
% 16.03/11.25 tff(24224,plain,
% 16.03/11.25 (~v101(constB187)),
% 16.03/11.25 inference(unit_resolution,[status(thm)],[24223, 24219])).
% 16.03/11.25 tff(24225,plain,
% 16.03/11.25 (((~v101(constB187)) | (~v110(constB187))) | v101(constB187)),
% 16.03/11.25 inference(tautology,[status(thm)],[])).
% 16.03/11.25 tff(24226,plain,
% 16.03/11.25 ((~v101(constB187)) | (~v110(constB187))),
% 16.03/11.25 inference(unit_resolution,[status(thm)],[24225, 24224])).
% 16.03/11.25 tff(24227,plain,
% 16.03/11.25 ((~(v100(constB187) <=> (~((~v101(constB187)) | (~v110(constB187)))))) | (~v100(constB187)) | (~((~v101(constB187)) | (~v110(constB187))))),
% 16.03/11.25 inference(tautology,[status(thm)],[])).
% 16.03/11.25 tff(24228,plain,
% 16.03/11.25 (~v100(constB187)),
% 16.03/11.25 inference(unit_resolution,[status(thm)],[24227, 24226, 24212])).
% 16.03/11.25 tff(24229,plain,
% 16.03/11.25 (((~![VarCurr: $i, VarNext: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v90(VarCurr, B))))) | (v100(constB187) | (~nextState(constB186, constB187)) | ![B: $i] : ((~less_3(B)) | (v90(constB187, B) <=> v90(constB186, B))))) <=> ((~![VarCurr: $i, VarNext: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v90(VarCurr, B))))) | v100(constB187) | (~nextState(constB186, constB187)) | ![B: $i] : ((~less_3(B)) | (v90(constB187, B) <=> v90(constB186, B))))),
% 16.03/11.25 inference(rewrite,[status(thm)],[])).
% 16.03/11.25 tff(24230,plain,
% 16.03/11.25 ((~![VarCurr: $i, VarNext: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v90(VarCurr, B))))) | (v100(constB187) | (~nextState(constB186, constB187)) | ![B: $i] : ((~less_3(B)) | (v90(constB187, B) <=> v90(constB186, B))))),
% 16.03/11.25 inference(quant_inst,[status(thm)],[])).
% 16.03/11.25 tff(24231,plain,
% 16.03/11.25 ((~![VarCurr: $i, VarNext: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v90(VarCurr, B))))) | v100(constB187) | (~nextState(constB186, constB187)) | ![B: $i] : ((~less_3(B)) | (v90(constB187, B) <=> v90(constB186, B)))),
% 16.03/11.25 inference(modus_ponens,[status(thm)],[24230, 24229])).
% 16.03/11.25 tff(24232,plain,
% 16.03/11.25 (v100(constB187) | ![B: $i] : ((~less_3(B)) | (v90(constB187, B) <=> v90(constB186, B)))),
% 16.03/11.25 inference(unit_resolution,[status(thm)],[24231, 24208, 479])).
% 16.03/11.25 tff(24233,plain,
% 16.03/11.25 (![B: $i] : ((~less_3(B)) | (v90(constB187, B) <=> v90(constB186, B)))),
% 16.03/11.25 inference(unit_resolution,[status(thm)],[24232, 24228])).
% 16.03/11.25 tff(24234,plain,
% 16.03/11.25 (((~![B: $i] : ((~less_3(B)) | (v90(constB187, B) <=> v90(constB186, B)))) | ((~less_3(bitIndex2)) | (v90(constB187, bitIndex2) <=> v90(constB186, bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v90(constB187, B) <=> v90(constB186, B)))) | (~less_3(bitIndex2)) | (v90(constB187, bitIndex2) <=> v90(constB186, bitIndex2)))),
% 16.03/11.25 inference(rewrite,[status(thm)],[])).
% 16.03/11.25 tff(24235,plain,
% 16.03/11.25 ((~![B: $i] : ((~less_3(B)) | (v90(constB187, B) <=> v90(constB186, B)))) | ((~less_3(bitIndex2)) | (v90(constB187, bitIndex2) <=> v90(constB186, bitIndex2)))),
% 16.03/11.25 inference(quant_inst,[status(thm)],[])).
% 16.03/11.25 tff(24236,plain,
% 16.03/11.25 ((~![B: $i] : ((~less_3(B)) | (v90(constB187, B) <=> v90(constB186, B)))) | (~less_3(bitIndex2)) | (v90(constB187, bitIndex2) <=> v90(constB186, bitIndex2))),
% 16.03/11.25 inference(modus_ponens,[status(thm)],[24235, 24234])).
% 16.03/11.25 tff(24237,plain,
% 16.03/11.25 (v90(constB187, bitIndex2) <=> v90(constB186, bitIndex2)),
% 16.03/11.25 inference(unit_resolution,[status(thm)],[24236, 413, 24233])).
% 16.03/11.25 tff(24238,plain,
% 16.03/11.25 (nextState(constB185, constB186) <=> nextState(constB185, constB186)),
% 16.03/11.25 inference(rewrite,[status(thm)],[])).
% 16.03/11.25 tff(24239,axiom,(nextState(constB185, constB186)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_185')).
% 16.03/11.25 tff(24240,plain,
% 16.03/11.25 (nextState(constB185, constB186)),
% 16.03/11.25 inference(modus_ponens,[status(thm)],[24239, 24238])).
% 16.03/11.25 tff(24241,plain,
% 16.03/11.25 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB185, constB186)) | (v100(constB186) <=> (~((~v101(constB186)) | (~v110(constB186))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB185, constB186)) | (v100(constB186) <=> (~((~v101(constB186)) | (~v110(constB186))))))),
% 16.03/11.26 inference(rewrite,[status(thm)],[])).
% 16.03/11.26 tff(24242,plain,
% 16.03/11.26 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB185, constB186)) | (v100(constB186) <=> (~((~v101(constB186)) | (~v110(constB186))))))),
% 16.03/11.26 inference(quant_inst,[status(thm)],[])).
% 16.03/11.26 tff(24243,plain,
% 16.03/11.26 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB185, constB186)) | (v100(constB186) <=> (~((~v101(constB186)) | (~v110(constB186)))))),
% 16.03/11.26 inference(modus_ponens,[status(thm)],[24242, 24241])).
% 16.03/11.26 tff(24244,plain,
% 16.03/11.26 (v100(constB186) <=> (~((~v101(constB186)) | (~v110(constB186))))),
% 16.03/11.26 inference(unit_resolution,[status(thm)],[24243, 24240, 430])).
% 16.03/11.26 tff(24245,plain,
% 16.03/11.26 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB185, constB186)) | (v101(constB186) <=> (~((~v1(constB186)) | (~v102(constB186))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB185, constB186)) | (v101(constB186) <=> (~((~v1(constB186)) | (~v102(constB186))))))),
% 16.03/11.26 inference(rewrite,[status(thm)],[])).
% 16.03/11.26 tff(24246,plain,
% 16.03/11.26 (((~nextState(constB185, constB186)) | (v101(constB186) <=> (~((~v102(constB186)) | (~v1(constB186)))))) <=> ((~nextState(constB185, constB186)) | (v101(constB186) <=> (~((~v1(constB186)) | (~v102(constB186))))))),
% 16.03/11.26 inference(rewrite,[status(thm)],[])).
% 16.03/11.26 tff(24247,plain,
% 16.03/11.26 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB185, constB186)) | (v101(constB186) <=> (~((~v102(constB186)) | (~v1(constB186))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB185, constB186)) | (v101(constB186) <=> (~((~v1(constB186)) | (~v102(constB186)))))))),
% 16.03/11.26 inference(monotonicity,[status(thm)],[24246])).
% 16.03/11.26 tff(24248,plain,
% 16.03/11.26 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB185, constB186)) | (v101(constB186) <=> (~((~v102(constB186)) | (~v1(constB186))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB185, constB186)) | (v101(constB186) <=> (~((~v1(constB186)) | (~v102(constB186))))))),
% 16.03/11.26 inference(transitivity,[status(thm)],[24247, 24245])).
% 16.03/11.26 tff(24249,plain,
% 16.03/11.26 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB185, constB186)) | (v101(constB186) <=> (~((~v102(constB186)) | (~v1(constB186))))))),
% 16.03/11.26 inference(quant_inst,[status(thm)],[])).
% 16.03/11.26 tff(24250,plain,
% 16.03/11.26 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB185, constB186)) | (v101(constB186) <=> (~((~v1(constB186)) | (~v102(constB186)))))),
% 16.03/11.26 inference(modus_ponens,[status(thm)],[24249, 24248])).
% 16.03/11.26 tff(24251,plain,
% 16.03/11.26 (v101(constB186) <=> (~((~v1(constB186)) | (~v102(constB186))))),
% 16.03/11.26 inference(unit_resolution,[status(thm)],[24250, 24240, 450])).
% 16.03/11.26 tff(24252,plain,
% 16.03/11.26 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | ((~nextState(constB185, constB186)) | ((~v102(constB186)) <=> v104(constB186)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | (~nextState(constB185, constB186)) | ((~v102(constB186)) <=> v104(constB186)))),
% 16.03/11.26 inference(rewrite,[status(thm)],[])).
% 16.03/11.26 tff(24253,plain,
% 16.03/11.26 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | ((~nextState(constB185, constB186)) | ((~v102(constB186)) <=> v104(constB186)))),
% 16.03/11.26 inference(quant_inst,[status(thm)],[])).
% 16.03/11.26 tff(24254,plain,
% 16.03/11.26 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | (~nextState(constB185, constB186)) | ((~v102(constB186)) <=> v104(constB186))),
% 16.03/11.26 inference(modus_ponens,[status(thm)],[24253, 24252])).
% 16.03/11.26 tff(24255,plain,
% 16.03/11.26 ((~v102(constB186)) <=> v104(constB186)),
% 16.03/11.26 inference(unit_resolution,[status(thm)],[24254, 24240, 512])).
% 16.03/11.26 tff(24256,plain,
% 16.03/11.26 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB185, constB186)) | (v104(constB186) <=> v1(constB185)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | (~nextState(constB185, constB186)) | (v104(constB186) <=> v1(constB185)))),
% 16.03/11.26 inference(rewrite,[status(thm)],[])).
% 16.03/11.26 tff(24257,plain,
% 16.03/11.26 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB185, constB186)) | (v104(constB186) <=> v1(constB185)))),
% 16.03/11.26 inference(quant_inst,[status(thm)],[])).
% 16.03/11.26 tff(24258,plain,
% 16.03/11.26 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | (~nextState(constB185, constB186)) | (v104(constB186) <=> v1(constB185))),
% 16.03/11.26 inference(modus_ponens,[status(thm)],[24257, 24256])).
% 16.03/11.26 tff(24259,plain,
% 16.03/11.26 (v104(constB186) <=> v1(constB185)),
% 16.03/11.26 inference(unit_resolution,[status(thm)],[24258, 24240, 526])).
% 16.03/11.26 tff(24260,plain,
% 16.03/11.26 ((~v1(constB185)) <=> (~v1(constB185))),
% 16.03/11.26 inference(rewrite,[status(thm)],[])).
% 16.03/11.26 tff(24261,axiom,(~v1(constB185)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_185')).
% 16.03/11.26 tff(24262,plain,
% 16.03/11.26 (~v1(constB185)),
% 16.03/11.26 inference(modus_ponens,[status(thm)],[24261, 24260])).
% 16.03/11.26 tff(24263,plain,
% 16.03/11.26 ((~(v104(constB186) <=> v1(constB185))) | (~v104(constB186)) | v1(constB185)),
% 16.03/11.26 inference(tautology,[status(thm)],[])).
% 16.03/11.26 tff(24264,plain,
% 16.03/11.26 ((~(v104(constB186) <=> v1(constB185))) | (~v104(constB186))),
% 16.03/11.26 inference(unit_resolution,[status(thm)],[24263, 24262])).
% 16.03/11.26 tff(24265,plain,
% 16.03/11.26 (~v104(constB186)),
% 16.03/11.26 inference(unit_resolution,[status(thm)],[24264, 24259])).
% 16.03/11.26 tff(24266,plain,
% 16.03/11.26 ((~((~v102(constB186)) <=> v104(constB186))) | v102(constB186) | v104(constB186)),
% 16.03/11.26 inference(tautology,[status(thm)],[])).
% 16.03/11.26 tff(24267,plain,
% 16.03/11.26 (v102(constB186)),
% 16.03/11.26 inference(unit_resolution,[status(thm)],[24266, 24265, 24255])).
% 16.03/11.26 tff(24268,plain,
% 16.03/11.26 (v1(constB186) <=> v1(constB186)),
% 16.03/11.26 inference(rewrite,[status(thm)],[])).
% 16.03/11.26 tff(24269,axiom,(v1(constB186)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_186')).
% 16.03/11.26 tff(24270,plain,
% 16.03/11.26 (v1(constB186)),
% 16.03/11.26 inference(modus_ponens,[status(thm)],[24269, 24268])).
% 16.03/11.26 tff(24271,plain,
% 16.03/11.26 ((~((~v1(constB186)) | (~v102(constB186)))) | (~v1(constB186)) | (~v102(constB186))),
% 16.03/11.26 inference(tautology,[status(thm)],[])).
% 16.03/11.26 tff(24272,plain,
% 16.03/11.26 ((~((~v1(constB186)) | (~v102(constB186)))) | (~v102(constB186))),
% 16.03/11.26 inference(unit_resolution,[status(thm)],[24271, 24270])).
% 16.03/11.26 tff(24273,plain,
% 16.03/11.26 (~((~v1(constB186)) | (~v102(constB186)))),
% 16.03/11.26 inference(unit_resolution,[status(thm)],[24272, 24267])).
% 16.03/11.26 tff(24274,plain,
% 16.03/11.26 ((~(v101(constB186) <=> (~((~v1(constB186)) | (~v102(constB186)))))) | v101(constB186) | ((~v1(constB186)) | (~v102(constB186)))),
% 16.03/11.26 inference(tautology,[status(thm)],[])).
% 16.03/11.26 tff(24275,plain,
% 16.03/11.26 (v101(constB186)),
% 16.03/11.26 inference(unit_resolution,[status(thm)],[24274, 24273, 24251])).
% 16.03/11.26 tff(24276,plain,
% 16.03/11.26 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | ((~nextState(constB185, constB186)) | (v110(constB186) <=> v108(constB185)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | (~nextState(constB185, constB186)) | (v110(constB186) <=> v108(constB185)))),
% 16.03/11.26 inference(rewrite,[status(thm)],[])).
% 16.03/11.26 tff(24277,plain,
% 16.03/11.26 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | ((~nextState(constB185, constB186)) | (v110(constB186) <=> v108(constB185)))),
% 16.03/11.26 inference(quant_inst,[status(thm)],[])).
% 16.03/11.26 tff(24278,plain,
% 16.03/11.26 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | (~nextState(constB185, constB186)) | (v110(constB186) <=> v108(constB185))),
% 16.03/11.26 inference(modus_ponens,[status(thm)],[24277, 24276])).
% 16.03/11.26 tff(24279,plain,
% 16.03/11.26 (v110(constB186) <=> v108(constB185)),
% 16.03/11.26 inference(unit_resolution,[status(thm)],[24278, 24240, 556])).
% 16.03/11.26 tff(24280,plain,
% 16.03/11.26 ((~![VarCurr: $i] : (v108(VarCurr) <=> (v111(VarCurr) | v112(VarCurr)))) | (v108(constB185) <=> (v111(constB185) | v112(constB185)))),
% 16.03/11.26 inference(quant_inst,[status(thm)],[])).
% 16.03/11.26 tff(24281,plain,
% 16.03/11.26 (v108(constB185) <=> (v111(constB185) | v112(constB185))),
% 16.03/11.26 inference(unit_resolution,[status(thm)],[24280, 567])).
% 16.03/11.26 tff(24282,plain,
% 16.03/11.26 ((~![VarCurr: $i] : (v112(VarCurr) <=> (~((~v113(VarCurr)) | (~v126(VarCurr)))))) | (v112(constB185) <=> (~((~v113(constB185)) | (~v126(constB185)))))),
% 16.03/11.26 inference(quant_inst,[status(thm)],[])).
% 16.03/11.26 tff(24283,plain,
% 16.03/11.26 (v112(constB185) <=> (~((~v113(constB185)) | (~v126(constB185))))),
% 16.03/11.26 inference(unit_resolution,[status(thm)],[24282, 579])).
% 16.03/11.26 tff(24284,plain,
% 16.03/11.26 ((~![VarCurr: $i] : (v113(VarCurr) <=> (v114(VarCurr) | v125(VarCurr)))) | (v113(constB185) <=> (v114(constB185) | v125(constB185)))),
% 16.03/11.26 inference(quant_inst,[status(thm)],[])).
% 16.03/11.26 tff(24285,plain,
% 16.03/11.26 (v113(constB185) <=> (v114(constB185) | v125(constB185))),
% 16.03/11.26 inference(unit_resolution,[status(thm)],[24284, 588])).
% 16.03/11.26 tff(24286,plain,
% 16.03/11.26 (((~![VarCurr: $i] : (v125(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2)))))) | (v125(constB185) <=> (~((~v90(constB185, bitIndex2)) | (~v90(constB185, bitIndex1)) | v90(constB185, bitIndex0))))) <=> ((~![VarCurr: $i] : (v125(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2)))))) | (v125(constB185) <=> (~((~v90(constB185, bitIndex2)) | (~v90(constB185, bitIndex1)) | v90(constB185, bitIndex0)))))),
% 16.03/11.26 inference(rewrite,[status(thm)],[])).
% 16.03/11.26 tff(24287,plain,
% 16.03/11.26 ((v125(constB185) <=> (~(v90(constB185, bitIndex0) | (~v90(constB185, bitIndex1)) | (~v90(constB185, bitIndex2))))) <=> (v125(constB185) <=> (~((~v90(constB185, bitIndex2)) | (~v90(constB185, bitIndex1)) | v90(constB185, bitIndex0))))),
% 16.03/11.26 inference(rewrite,[status(thm)],[])).
% 16.03/11.26 tff(24288,plain,
% 16.03/11.26 (((~![VarCurr: $i] : (v125(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2)))))) | (v125(constB185) <=> (~(v90(constB185, bitIndex0) | (~v90(constB185, bitIndex1)) | (~v90(constB185, bitIndex2)))))) <=> ((~![VarCurr: $i] : (v125(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2)))))) | (v125(constB185) <=> (~((~v90(constB185, bitIndex2)) | (~v90(constB185, bitIndex1)) | v90(constB185, bitIndex0)))))),
% 16.03/11.26 inference(monotonicity,[status(thm)],[24287])).
% 16.03/11.26 tff(24289,plain,
% 16.03/11.26 (((~![VarCurr: $i] : (v125(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2)))))) | (v125(constB185) <=> (~(v90(constB185, bitIndex0) | (~v90(constB185, bitIndex1)) | (~v90(constB185, bitIndex2)))))) <=> ((~![VarCurr: $i] : (v125(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2)))))) | (v125(constB185) <=> (~((~v90(constB185, bitIndex2)) | (~v90(constB185, bitIndex1)) | v90(constB185, bitIndex0)))))),
% 16.03/11.26 inference(transitivity,[status(thm)],[24288, 24286])).
% 16.03/11.26 tff(24290,plain,
% 16.03/11.26 ((~![VarCurr: $i] : (v125(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2)))))) | (v125(constB185) <=> (~(v90(constB185, bitIndex0) | (~v90(constB185, bitIndex1)) | (~v90(constB185, bitIndex2)))))),
% 16.03/11.26 inference(quant_inst,[status(thm)],[])).
% 16.03/11.26 tff(24291,plain,
% 16.03/11.26 ((~![VarCurr: $i] : (v125(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2)))))) | (v125(constB185) <=> (~((~v90(constB185, bitIndex2)) | (~v90(constB185, bitIndex1)) | v90(constB185, bitIndex0))))),
% 16.03/11.26 inference(modus_ponens,[status(thm)],[24290, 24289])).
% 16.03/11.26 tff(24292,plain,
% 16.03/11.26 (v125(constB185) <=> (~((~v90(constB185, bitIndex2)) | (~v90(constB185, bitIndex1)) | v90(constB185, bitIndex0)))),
% 16.03/11.26 inference(unit_resolution,[status(thm)],[24291, 1066])).
% 16.03/11.26 tff(24293,plain,
% 16.03/11.26 (nextState(constB184, constB185) <=> nextState(constB184, constB185)),
% 16.03/11.26 inference(rewrite,[status(thm)],[])).
% 16.03/11.26 tff(24294,axiom,(nextState(constB184, constB185)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_184')).
% 16.03/11.26 tff(24295,plain,
% 16.03/11.26 (nextState(constB184, constB185)),
% 16.03/11.26 inference(modus_ponens,[status(thm)],[24294, 24293])).
% 16.03/11.26 tff(24296,plain,
% 16.03/11.26 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB184, constB185)) | (v100(constB185) <=> (~((~v101(constB185)) | (~v110(constB185))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB184, constB185)) | (v100(constB185) <=> (~((~v101(constB185)) | (~v110(constB185))))))),
% 16.03/11.26 inference(rewrite,[status(thm)],[])).
% 16.03/11.26 tff(24297,plain,
% 16.03/11.26 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB184, constB185)) | (v100(constB185) <=> (~((~v101(constB185)) | (~v110(constB185))))))),
% 16.03/11.26 inference(quant_inst,[status(thm)],[])).
% 16.03/11.26 tff(24298,plain,
% 16.03/11.26 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB184, constB185)) | (v100(constB185) <=> (~((~v101(constB185)) | (~v110(constB185)))))),
% 16.03/11.26 inference(modus_ponens,[status(thm)],[24297, 24296])).
% 16.03/11.26 tff(24299,plain,
% 16.03/11.26 (v100(constB185) <=> (~((~v101(constB185)) | (~v110(constB185))))),
% 16.03/11.26 inference(unit_resolution,[status(thm)],[24298, 24295, 430])).
% 16.03/11.26 tff(24300,plain,
% 16.03/11.26 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB184, constB185)) | (v101(constB185) <=> (~((~v1(constB185)) | (~v102(constB185))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB184, constB185)) | (v101(constB185) <=> (~((~v1(constB185)) | (~v102(constB185))))))),
% 16.03/11.26 inference(rewrite,[status(thm)],[])).
% 16.03/11.26 tff(24301,plain,
% 16.03/11.26 (((~nextState(constB184, constB185)) | (v101(constB185) <=> (~((~v102(constB185)) | (~v1(constB185)))))) <=> ((~nextState(constB184, constB185)) | (v101(constB185) <=> (~((~v1(constB185)) | (~v102(constB185))))))),
% 16.03/11.26 inference(rewrite,[status(thm)],[])).
% 16.03/11.26 tff(24302,plain,
% 16.03/11.26 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB184, constB185)) | (v101(constB185) <=> (~((~v102(constB185)) | (~v1(constB185))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB184, constB185)) | (v101(constB185) <=> (~((~v1(constB185)) | (~v102(constB185)))))))),
% 16.03/11.26 inference(monotonicity,[status(thm)],[24301])).
% 16.03/11.26 tff(24303,plain,
% 16.03/11.26 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB184, constB185)) | (v101(constB185) <=> (~((~v102(constB185)) | (~v1(constB185))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB184, constB185)) | (v101(constB185) <=> (~((~v1(constB185)) | (~v102(constB185))))))),
% 16.03/11.27 inference(transitivity,[status(thm)],[24302, 24300])).
% 16.03/11.27 tff(24304,plain,
% 16.03/11.27 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB184, constB185)) | (v101(constB185) <=> (~((~v102(constB185)) | (~v1(constB185))))))),
% 16.03/11.27 inference(quant_inst,[status(thm)],[])).
% 16.03/11.27 tff(24305,plain,
% 16.03/11.27 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB184, constB185)) | (v101(constB185) <=> (~((~v1(constB185)) | (~v102(constB185)))))),
% 16.03/11.27 inference(modus_ponens,[status(thm)],[24304, 24303])).
% 16.03/11.27 tff(24306,plain,
% 16.03/11.27 (v101(constB185) <=> (~((~v1(constB185)) | (~v102(constB185))))),
% 16.03/11.27 inference(unit_resolution,[status(thm)],[24305, 24295, 450])).
% 16.03/11.27 tff(24307,plain,
% 16.03/11.27 (((~v1(constB185)) | (~v102(constB185))) | v1(constB185)),
% 16.03/11.27 inference(tautology,[status(thm)],[])).
% 16.03/11.27 tff(24308,plain,
% 16.03/11.27 ((~v1(constB185)) | (~v102(constB185))),
% 16.03/11.27 inference(unit_resolution,[status(thm)],[24307, 24262])).
% 16.03/11.27 tff(24309,plain,
% 16.03/11.27 ((~(v101(constB185) <=> (~((~v1(constB185)) | (~v102(constB185)))))) | (~v101(constB185)) | (~((~v1(constB185)) | (~v102(constB185))))),
% 16.03/11.27 inference(tautology,[status(thm)],[])).
% 16.03/11.27 tff(24310,plain,
% 16.03/11.27 ((~(v101(constB185) <=> (~((~v1(constB185)) | (~v102(constB185)))))) | (~v101(constB185))),
% 16.03/11.27 inference(unit_resolution,[status(thm)],[24309, 24308])).
% 16.03/11.27 tff(24311,plain,
% 16.03/11.27 (~v101(constB185)),
% 16.03/11.27 inference(unit_resolution,[status(thm)],[24310, 24306])).
% 16.03/11.27 tff(24312,plain,
% 16.03/11.27 (((~v101(constB185)) | (~v110(constB185))) | v101(constB185)),
% 16.03/11.27 inference(tautology,[status(thm)],[])).
% 16.03/11.27 tff(24313,plain,
% 16.03/11.27 ((~v101(constB185)) | (~v110(constB185))),
% 16.03/11.27 inference(unit_resolution,[status(thm)],[24312, 24311])).
% 16.03/11.27 tff(24314,plain,
% 16.03/11.27 ((~(v100(constB185) <=> (~((~v101(constB185)) | (~v110(constB185)))))) | (~v100(constB185)) | (~((~v101(constB185)) | (~v110(constB185))))),
% 16.03/11.27 inference(tautology,[status(thm)],[])).
% 16.03/11.27 tff(24315,plain,
% 16.03/11.27 (~v100(constB185)),
% 16.03/11.27 inference(unit_resolution,[status(thm)],[24314, 24313, 24299])).
% 16.03/11.27 tff(24316,plain,
% 16.03/11.27 (((~![VarCurr: $i, VarNext: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v90(VarCurr, B))))) | (v100(constB185) | (~nextState(constB184, constB185)) | ![B: $i] : ((~less_3(B)) | (v90(constB185, B) <=> v90(constB184, B))))) <=> ((~![VarCurr: $i, VarNext: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v90(VarCurr, B))))) | v100(constB185) | (~nextState(constB184, constB185)) | ![B: $i] : ((~less_3(B)) | (v90(constB185, B) <=> v90(constB184, B))))),
% 16.03/11.27 inference(rewrite,[status(thm)],[])).
% 16.03/11.27 tff(24317,plain,
% 16.03/11.27 ((~![VarCurr: $i, VarNext: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v90(VarCurr, B))))) | (v100(constB185) | (~nextState(constB184, constB185)) | ![B: $i] : ((~less_3(B)) | (v90(constB185, B) <=> v90(constB184, B))))),
% 16.03/11.27 inference(quant_inst,[status(thm)],[])).
% 16.03/11.27 tff(24318,plain,
% 16.03/11.27 ((~![VarCurr: $i, VarNext: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v90(VarCurr, B))))) | v100(constB185) | (~nextState(constB184, constB185)) | ![B: $i] : ((~less_3(B)) | (v90(constB185, B) <=> v90(constB184, B)))),
% 16.03/11.27 inference(modus_ponens,[status(thm)],[24317, 24316])).
% 16.03/11.27 tff(24319,plain,
% 16.03/11.27 (v100(constB185) | ![B: $i] : ((~less_3(B)) | (v90(constB185, B) <=> v90(constB184, B)))),
% 16.03/11.27 inference(unit_resolution,[status(thm)],[24318, 24295, 479])).
% 16.03/11.27 tff(24320,plain,
% 16.03/11.27 (![B: $i] : ((~less_3(B)) | (v90(constB185, B) <=> v90(constB184, B)))),
% 16.03/11.27 inference(unit_resolution,[status(thm)],[24319, 24315])).
% 16.03/11.27 tff(24321,plain,
% 16.03/11.27 (((~![B: $i] : ((~less_3(B)) | (v90(constB185, B) <=> v90(constB184, B)))) | ((~less_3(bitIndex2)) | (v90(constB185, bitIndex2) <=> v90(constB184, bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v90(constB185, B) <=> v90(constB184, B)))) | (~less_3(bitIndex2)) | (v90(constB185, bitIndex2) <=> v90(constB184, bitIndex2)))),
% 16.03/11.27 inference(rewrite,[status(thm)],[])).
% 16.03/11.27 tff(24322,plain,
% 16.03/11.27 ((~![B: $i] : ((~less_3(B)) | (v90(constB185, B) <=> v90(constB184, B)))) | ((~less_3(bitIndex2)) | (v90(constB185, bitIndex2) <=> v90(constB184, bitIndex2)))),
% 16.03/11.27 inference(quant_inst,[status(thm)],[])).
% 16.03/11.27 tff(24323,plain,
% 16.03/11.27 ((~![B: $i] : ((~less_3(B)) | (v90(constB185, B) <=> v90(constB184, B)))) | (~less_3(bitIndex2)) | (v90(constB185, bitIndex2) <=> v90(constB184, bitIndex2))),
% 16.03/11.27 inference(modus_ponens,[status(thm)],[24322, 24321])).
% 16.03/11.27 tff(24324,plain,
% 16.03/11.27 (v90(constB185, bitIndex2) <=> v90(constB184, bitIndex2)),
% 16.03/11.27 inference(unit_resolution,[status(thm)],[24323, 413, 24320])).
% 16.03/11.27 tff(24325,plain,
% 16.03/11.27 (nextState(constB183, constB184) <=> nextState(constB183, constB184)),
% 16.03/11.27 inference(rewrite,[status(thm)],[])).
% 16.03/11.27 tff(24326,axiom,(nextState(constB183, constB184)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_183')).
% 16.03/11.27 tff(24327,plain,
% 16.03/11.27 (nextState(constB183, constB184)),
% 16.03/11.27 inference(modus_ponens,[status(thm)],[24326, 24325])).
% 16.03/11.27 tff(24328,plain,
% 16.03/11.27 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB183, constB184)) | (v100(constB184) <=> (~((~v101(constB184)) | (~v110(constB184))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB183, constB184)) | (v100(constB184) <=> (~((~v101(constB184)) | (~v110(constB184))))))),
% 16.03/11.27 inference(rewrite,[status(thm)],[])).
% 16.03/11.27 tff(24329,plain,
% 16.03/11.27 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB183, constB184)) | (v100(constB184) <=> (~((~v101(constB184)) | (~v110(constB184))))))),
% 16.03/11.27 inference(quant_inst,[status(thm)],[])).
% 16.03/11.27 tff(24330,plain,
% 16.03/11.27 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB183, constB184)) | (v100(constB184) <=> (~((~v101(constB184)) | (~v110(constB184)))))),
% 16.03/11.27 inference(modus_ponens,[status(thm)],[24329, 24328])).
% 16.03/11.27 tff(24331,plain,
% 16.03/11.27 (v100(constB184) <=> (~((~v101(constB184)) | (~v110(constB184))))),
% 16.03/11.27 inference(unit_resolution,[status(thm)],[24330, 24327, 430])).
% 16.03/11.27 tff(24332,plain,
% 16.03/11.27 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB183, constB184)) | (v101(constB184) <=> (~((~v1(constB184)) | (~v102(constB184))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB183, constB184)) | (v101(constB184) <=> (~((~v1(constB184)) | (~v102(constB184))))))),
% 16.03/11.27 inference(rewrite,[status(thm)],[])).
% 16.03/11.27 tff(24333,plain,
% 16.03/11.27 (((~nextState(constB183, constB184)) | (v101(constB184) <=> (~((~v102(constB184)) | (~v1(constB184)))))) <=> ((~nextState(constB183, constB184)) | (v101(constB184) <=> (~((~v1(constB184)) | (~v102(constB184))))))),
% 16.03/11.27 inference(rewrite,[status(thm)],[])).
% 16.03/11.27 tff(24334,plain,
% 16.03/11.27 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB183, constB184)) | (v101(constB184) <=> (~((~v102(constB184)) | (~v1(constB184))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB183, constB184)) | (v101(constB184) <=> (~((~v1(constB184)) | (~v102(constB184)))))))),
% 16.03/11.27 inference(monotonicity,[status(thm)],[24333])).
% 16.03/11.27 tff(24335,plain,
% 16.03/11.27 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB183, constB184)) | (v101(constB184) <=> (~((~v102(constB184)) | (~v1(constB184))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB183, constB184)) | (v101(constB184) <=> (~((~v1(constB184)) | (~v102(constB184))))))),
% 16.03/11.27 inference(transitivity,[status(thm)],[24334, 24332])).
% 16.03/11.27 tff(24336,plain,
% 16.03/11.27 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB183, constB184)) | (v101(constB184) <=> (~((~v102(constB184)) | (~v1(constB184))))))),
% 16.03/11.27 inference(quant_inst,[status(thm)],[])).
% 16.03/11.27 tff(24337,plain,
% 16.03/11.27 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB183, constB184)) | (v101(constB184) <=> (~((~v1(constB184)) | (~v102(constB184)))))),
% 16.03/11.27 inference(modus_ponens,[status(thm)],[24336, 24335])).
% 16.03/11.27 tff(24338,plain,
% 16.03/11.27 (v101(constB184) <=> (~((~v1(constB184)) | (~v102(constB184))))),
% 16.03/11.27 inference(unit_resolution,[status(thm)],[24337, 24327, 450])).
% 16.03/11.27 tff(24339,plain,
% 16.03/11.27 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | ((~nextState(constB183, constB184)) | ((~v102(constB184)) <=> v104(constB184)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | (~nextState(constB183, constB184)) | ((~v102(constB184)) <=> v104(constB184)))),
% 16.03/11.27 inference(rewrite,[status(thm)],[])).
% 16.03/11.27 tff(24340,plain,
% 16.03/11.27 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | ((~nextState(constB183, constB184)) | ((~v102(constB184)) <=> v104(constB184)))),
% 16.03/11.27 inference(quant_inst,[status(thm)],[])).
% 16.03/11.27 tff(24341,plain,
% 16.03/11.27 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | (~nextState(constB183, constB184)) | ((~v102(constB184)) <=> v104(constB184))),
% 16.03/11.27 inference(modus_ponens,[status(thm)],[24340, 24339])).
% 16.03/11.27 tff(24342,plain,
% 16.03/11.27 ((~v102(constB184)) <=> v104(constB184)),
% 16.03/11.27 inference(unit_resolution,[status(thm)],[24341, 24327, 512])).
% 16.03/11.27 tff(24343,plain,
% 16.03/11.27 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB183, constB184)) | (v104(constB184) <=> v1(constB183)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | (~nextState(constB183, constB184)) | (v104(constB184) <=> v1(constB183)))),
% 16.03/11.27 inference(rewrite,[status(thm)],[])).
% 16.03/11.27 tff(24344,plain,
% 16.03/11.27 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB183, constB184)) | (v104(constB184) <=> v1(constB183)))),
% 16.03/11.27 inference(quant_inst,[status(thm)],[])).
% 16.03/11.27 tff(24345,plain,
% 16.03/11.27 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | (~nextState(constB183, constB184)) | (v104(constB184) <=> v1(constB183))),
% 16.03/11.27 inference(modus_ponens,[status(thm)],[24344, 24343])).
% 16.03/11.27 tff(24346,plain,
% 16.03/11.27 (v104(constB184) <=> v1(constB183)),
% 16.03/11.27 inference(unit_resolution,[status(thm)],[24345, 24327, 526])).
% 16.03/11.27 tff(24347,plain,
% 16.03/11.27 ((~v1(constB183)) <=> (~v1(constB183))),
% 16.03/11.27 inference(rewrite,[status(thm)],[])).
% 16.03/11.27 tff(24348,axiom,(~v1(constB183)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_183')).
% 16.03/11.27 tff(24349,plain,
% 16.03/11.27 (~v1(constB183)),
% 16.03/11.27 inference(modus_ponens,[status(thm)],[24348, 24347])).
% 16.03/11.27 tff(24350,plain,
% 16.03/11.27 ((~(v104(constB184) <=> v1(constB183))) | (~v104(constB184)) | v1(constB183)),
% 16.03/11.27 inference(tautology,[status(thm)],[])).
% 16.03/11.27 tff(24351,plain,
% 16.03/11.27 ((~(v104(constB184) <=> v1(constB183))) | (~v104(constB184))),
% 16.03/11.27 inference(unit_resolution,[status(thm)],[24350, 24349])).
% 16.03/11.27 tff(24352,plain,
% 16.03/11.27 (~v104(constB184)),
% 16.03/11.27 inference(unit_resolution,[status(thm)],[24351, 24346])).
% 16.03/11.27 tff(24353,plain,
% 16.03/11.27 ((~((~v102(constB184)) <=> v104(constB184))) | v102(constB184) | v104(constB184)),
% 16.03/11.27 inference(tautology,[status(thm)],[])).
% 16.03/11.27 tff(24354,plain,
% 16.03/11.27 (v102(constB184)),
% 16.03/11.27 inference(unit_resolution,[status(thm)],[24353, 24352, 24342])).
% 16.03/11.27 tff(24355,plain,
% 16.03/11.27 (v1(constB184) <=> v1(constB184)),
% 16.03/11.27 inference(rewrite,[status(thm)],[])).
% 16.03/11.27 tff(24356,axiom,(v1(constB184)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_184')).
% 16.03/11.27 tff(24357,plain,
% 16.03/11.27 (v1(constB184)),
% 16.03/11.27 inference(modus_ponens,[status(thm)],[24356, 24355])).
% 16.03/11.27 tff(24358,plain,
% 16.03/11.27 ((~((~v1(constB184)) | (~v102(constB184)))) | (~v1(constB184)) | (~v102(constB184))),
% 16.03/11.27 inference(tautology,[status(thm)],[])).
% 16.03/11.27 tff(24359,plain,
% 16.03/11.27 ((~((~v1(constB184)) | (~v102(constB184)))) | (~v102(constB184))),
% 16.03/11.27 inference(unit_resolution,[status(thm)],[24358, 24357])).
% 16.03/11.27 tff(24360,plain,
% 16.03/11.27 (~((~v1(constB184)) | (~v102(constB184)))),
% 16.03/11.27 inference(unit_resolution,[status(thm)],[24359, 24354])).
% 16.03/11.27 tff(24361,plain,
% 16.03/11.27 ((~(v101(constB184) <=> (~((~v1(constB184)) | (~v102(constB184)))))) | v101(constB184) | ((~v1(constB184)) | (~v102(constB184)))),
% 16.03/11.27 inference(tautology,[status(thm)],[])).
% 16.03/11.27 tff(24362,plain,
% 16.03/11.27 (v101(constB184)),
% 16.03/11.27 inference(unit_resolution,[status(thm)],[24361, 24360, 24338])).
% 16.03/11.27 tff(24363,plain,
% 16.03/11.27 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | ((~nextState(constB183, constB184)) | (v110(constB184) <=> v108(constB183)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | (~nextState(constB183, constB184)) | (v110(constB184) <=> v108(constB183)))),
% 16.03/11.27 inference(rewrite,[status(thm)],[])).
% 16.03/11.27 tff(24364,plain,
% 16.03/11.27 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | ((~nextState(constB183, constB184)) | (v110(constB184) <=> v108(constB183)))),
% 16.03/11.27 inference(quant_inst,[status(thm)],[])).
% 16.03/11.27 tff(24365,plain,
% 16.03/11.27 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | (~nextState(constB183, constB184)) | (v110(constB184) <=> v108(constB183))),
% 16.03/11.27 inference(modus_ponens,[status(thm)],[24364, 24363])).
% 16.03/11.27 tff(24366,plain,
% 16.03/11.27 (v110(constB184) <=> v108(constB183)),
% 16.03/11.27 inference(unit_resolution,[status(thm)],[24365, 24327, 556])).
% 16.03/11.27 tff(24367,plain,
% 16.03/11.27 ((~![VarCurr: $i] : (v108(VarCurr) <=> (v111(VarCurr) | v112(VarCurr)))) | (v108(constB183) <=> (v111(constB183) | v112(constB183)))),
% 16.03/11.27 inference(quant_inst,[status(thm)],[])).
% 16.03/11.27 tff(24368,plain,
% 16.03/11.27 (v108(constB183) <=> (v111(constB183) | v112(constB183))),
% 16.03/11.27 inference(unit_resolution,[status(thm)],[24367, 567])).
% 16.03/11.27 tff(24369,plain,
% 16.03/11.27 ((~![VarCurr: $i] : (v112(VarCurr) <=> (~((~v113(VarCurr)) | (~v126(VarCurr)))))) | (v112(constB183) <=> (~((~v113(constB183)) | (~v126(constB183)))))),
% 16.03/11.27 inference(quant_inst,[status(thm)],[])).
% 16.03/11.27 tff(24370,plain,
% 16.03/11.27 (v112(constB183) <=> (~((~v113(constB183)) | (~v126(constB183))))),
% 16.03/11.27 inference(unit_resolution,[status(thm)],[24369, 579])).
% 16.03/11.27 tff(24371,plain,
% 16.03/11.27 ((~![VarCurr: $i] : (v113(VarCurr) <=> (v114(VarCurr) | v125(VarCurr)))) | (v113(constB183) <=> (v114(constB183) | v125(constB183)))),
% 16.03/11.27 inference(quant_inst,[status(thm)],[])).
% 16.03/11.27 tff(24372,plain,
% 16.03/11.27 (v113(constB183) <=> (v114(constB183) | v125(constB183))),
% 16.03/11.27 inference(unit_resolution,[status(thm)],[24371, 588])).
% 16.03/11.27 tff(24373,plain,
% 16.03/11.27 ((~![VarCurr: $i] : (v114(VarCurr) <=> (v115(VarCurr) | v124(VarCurr)))) | (v114(constB183) <=> (v115(constB183) | v124(constB183)))),
% 16.03/11.27 inference(quant_inst,[status(thm)],[])).
% 16.03/11.27 tff(24374,plain,
% 16.03/11.27 (v114(constB183) <=> (v115(constB183) | v124(constB183))),
% 16.03/11.27 inference(unit_resolution,[status(thm)],[24373, 597])).
% 16.03/11.27 tff(24375,plain,
% 16.03/11.27 ((~![VarCurr: $i] : (v115(VarCurr) <=> (v116(VarCurr) | v123(VarCurr)))) | (v115(constB183) <=> (v116(constB183) | v123(constB183)))),
% 16.03/11.27 inference(quant_inst,[status(thm)],[])).
% 16.03/11.27 tff(24376,plain,
% 16.03/11.27 (v115(constB183) <=> (v116(constB183) | v123(constB183))),
% 16.03/11.27 inference(unit_resolution,[status(thm)],[24375, 606])).
% 16.03/11.28 tff(24377,plain,
% 16.03/11.28 (((~![VarCurr: $i] : (v123(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)))))) | (v123(constB183) <=> (~((~v90(constB183, bitIndex2)) | v90(constB183, bitIndex1) | v90(constB183, bitIndex0))))) <=> ((~![VarCurr: $i] : (v123(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)))))) | (v123(constB183) <=> (~((~v90(constB183, bitIndex2)) | v90(constB183, bitIndex1) | v90(constB183, bitIndex0)))))),
% 16.03/11.28 inference(rewrite,[status(thm)],[])).
% 16.03/11.28 tff(24378,plain,
% 16.03/11.28 ((v123(constB183) <=> (~(v90(constB183, bitIndex0) | v90(constB183, bitIndex1) | (~v90(constB183, bitIndex2))))) <=> (v123(constB183) <=> (~((~v90(constB183, bitIndex2)) | v90(constB183, bitIndex1) | v90(constB183, bitIndex0))))),
% 16.03/11.28 inference(rewrite,[status(thm)],[])).
% 16.03/11.28 tff(24379,plain,
% 16.03/11.28 (((~![VarCurr: $i] : (v123(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)))))) | (v123(constB183) <=> (~(v90(constB183, bitIndex0) | v90(constB183, bitIndex1) | (~v90(constB183, bitIndex2)))))) <=> ((~![VarCurr: $i] : (v123(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)))))) | (v123(constB183) <=> (~((~v90(constB183, bitIndex2)) | v90(constB183, bitIndex1) | v90(constB183, bitIndex0)))))),
% 16.03/11.28 inference(monotonicity,[status(thm)],[24378])).
% 16.03/11.28 tff(24380,plain,
% 16.03/11.28 (((~![VarCurr: $i] : (v123(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)))))) | (v123(constB183) <=> (~(v90(constB183, bitIndex0) | v90(constB183, bitIndex1) | (~v90(constB183, bitIndex2)))))) <=> ((~![VarCurr: $i] : (v123(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)))))) | (v123(constB183) <=> (~((~v90(constB183, bitIndex2)) | v90(constB183, bitIndex1) | v90(constB183, bitIndex0)))))),
% 16.03/11.28 inference(transitivity,[status(thm)],[24379, 24377])).
% 16.03/11.28 tff(24381,plain,
% 16.03/11.28 ((~![VarCurr: $i] : (v123(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)))))) | (v123(constB183) <=> (~(v90(constB183, bitIndex0) | v90(constB183, bitIndex1) | (~v90(constB183, bitIndex2)))))),
% 16.03/11.28 inference(quant_inst,[status(thm)],[])).
% 16.03/11.28 tff(24382,plain,
% 16.03/11.28 ((~![VarCurr: $i] : (v123(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)))))) | (v123(constB183) <=> (~((~v90(constB183, bitIndex2)) | v90(constB183, bitIndex1) | v90(constB183, bitIndex0))))),
% 16.03/11.28 inference(modus_ponens,[status(thm)],[24381, 24380])).
% 16.03/11.28 tff(24383,plain,
% 16.03/11.28 (v123(constB183) <=> (~((~v90(constB183, bitIndex2)) | v90(constB183, bitIndex1) | v90(constB183, bitIndex0)))),
% 16.03/11.28 inference(unit_resolution,[status(thm)],[24382, 621])).
% 16.03/11.28 tff(24384,plain,
% 16.03/11.28 (nextState(constB182, constB183) <=> nextState(constB182, constB183)),
% 16.03/11.28 inference(rewrite,[status(thm)],[])).
% 16.03/11.28 tff(24385,axiom,(nextState(constB182, constB183)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_182')).
% 16.03/11.28 tff(24386,plain,
% 16.03/11.28 (nextState(constB182, constB183)),
% 16.03/11.28 inference(modus_ponens,[status(thm)],[24385, 24384])).
% 16.03/11.28 tff(24387,plain,
% 16.03/11.28 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB182, constB183)) | (v100(constB183) <=> (~((~v101(constB183)) | (~v110(constB183))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB182, constB183)) | (v100(constB183) <=> (~((~v101(constB183)) | (~v110(constB183))))))),
% 16.03/11.28 inference(rewrite,[status(thm)],[])).
% 16.03/11.28 tff(24388,plain,
% 16.03/11.28 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB182, constB183)) | (v100(constB183) <=> (~((~v101(constB183)) | (~v110(constB183))))))),
% 16.03/11.28 inference(quant_inst,[status(thm)],[])).
% 16.03/11.28 tff(24389,plain,
% 16.03/11.28 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB182, constB183)) | (v100(constB183) <=> (~((~v101(constB183)) | (~v110(constB183)))))),
% 16.03/11.28 inference(modus_ponens,[status(thm)],[24388, 24387])).
% 16.03/11.28 tff(24390,plain,
% 16.03/11.28 (v100(constB183) <=> (~((~v101(constB183)) | (~v110(constB183))))),
% 16.03/11.28 inference(unit_resolution,[status(thm)],[24389, 24386, 430])).
% 16.03/11.28 tff(24391,plain,
% 16.03/11.28 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB182, constB183)) | (v101(constB183) <=> (~((~v1(constB183)) | (~v102(constB183))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB182, constB183)) | (v101(constB183) <=> (~((~v1(constB183)) | (~v102(constB183))))))),
% 16.03/11.28 inference(rewrite,[status(thm)],[])).
% 16.03/11.28 tff(24392,plain,
% 16.03/11.28 (((~nextState(constB182, constB183)) | (v101(constB183) <=> (~((~v102(constB183)) | (~v1(constB183)))))) <=> ((~nextState(constB182, constB183)) | (v101(constB183) <=> (~((~v1(constB183)) | (~v102(constB183))))))),
% 16.03/11.28 inference(rewrite,[status(thm)],[])).
% 16.03/11.28 tff(24393,plain,
% 16.03/11.28 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB182, constB183)) | (v101(constB183) <=> (~((~v102(constB183)) | (~v1(constB183))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB182, constB183)) | (v101(constB183) <=> (~((~v1(constB183)) | (~v102(constB183)))))))),
% 16.03/11.28 inference(monotonicity,[status(thm)],[24392])).
% 16.03/11.28 tff(24394,plain,
% 16.03/11.28 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB182, constB183)) | (v101(constB183) <=> (~((~v102(constB183)) | (~v1(constB183))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB182, constB183)) | (v101(constB183) <=> (~((~v1(constB183)) | (~v102(constB183))))))),
% 16.03/11.28 inference(transitivity,[status(thm)],[24393, 24391])).
% 16.03/11.28 tff(24395,plain,
% 16.03/11.28 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB182, constB183)) | (v101(constB183) <=> (~((~v102(constB183)) | (~v1(constB183))))))),
% 16.03/11.28 inference(quant_inst,[status(thm)],[])).
% 16.03/11.28 tff(24396,plain,
% 16.03/11.28 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB182, constB183)) | (v101(constB183) <=> (~((~v1(constB183)) | (~v102(constB183)))))),
% 16.03/11.28 inference(modus_ponens,[status(thm)],[24395, 24394])).
% 16.03/11.28 tff(24397,plain,
% 16.03/11.28 (v101(constB183) <=> (~((~v1(constB183)) | (~v102(constB183))))),
% 16.03/11.28 inference(unit_resolution,[status(thm)],[24396, 24386, 450])).
% 16.03/11.28 tff(24398,plain,
% 16.03/11.28 (((~v1(constB183)) | (~v102(constB183))) | v1(constB183)),
% 16.03/11.28 inference(tautology,[status(thm)],[])).
% 16.03/11.28 tff(24399,plain,
% 16.03/11.28 ((~v1(constB183)) | (~v102(constB183))),
% 16.03/11.28 inference(unit_resolution,[status(thm)],[24398, 24349])).
% 16.03/11.28 tff(24400,plain,
% 16.03/11.28 ((~(v101(constB183) <=> (~((~v1(constB183)) | (~v102(constB183)))))) | (~v101(constB183)) | (~((~v1(constB183)) | (~v102(constB183))))),
% 16.03/11.28 inference(tautology,[status(thm)],[])).
% 16.03/11.28 tff(24401,plain,
% 16.03/11.28 ((~(v101(constB183) <=> (~((~v1(constB183)) | (~v102(constB183)))))) | (~v101(constB183))),
% 16.03/11.28 inference(unit_resolution,[status(thm)],[24400, 24399])).
% 16.03/11.28 tff(24402,plain,
% 16.03/11.28 (~v101(constB183)),
% 16.03/11.28 inference(unit_resolution,[status(thm)],[24401, 24397])).
% 16.03/11.28 tff(24403,plain,
% 16.03/11.28 (((~v101(constB183)) | (~v110(constB183))) | v101(constB183)),
% 16.03/11.28 inference(tautology,[status(thm)],[])).
% 16.03/11.28 tff(24404,plain,
% 16.03/11.28 ((~v101(constB183)) | (~v110(constB183))),
% 16.03/11.28 inference(unit_resolution,[status(thm)],[24403, 24402])).
% 16.03/11.28 tff(24405,plain,
% 16.03/11.28 ((~(v100(constB183) <=> (~((~v101(constB183)) | (~v110(constB183)))))) | (~v100(constB183)) | (~((~v101(constB183)) | (~v110(constB183))))),
% 16.03/11.28 inference(tautology,[status(thm)],[])).
% 16.03/11.28 tff(24406,plain,
% 16.03/11.28 (~v100(constB183)),
% 16.03/11.28 inference(unit_resolution,[status(thm)],[24405, 24404, 24390])).
% 16.03/11.28 tff(24407,plain,
% 16.03/11.28 (((~![VarCurr: $i, VarNext: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v90(VarCurr, B))))) | (v100(constB183) | (~nextState(constB182, constB183)) | ![B: $i] : ((~less_3(B)) | (v90(constB183, B) <=> v90(constB182, B))))) <=> ((~![VarCurr: $i, VarNext: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v90(VarCurr, B))))) | v100(constB183) | (~nextState(constB182, constB183)) | ![B: $i] : ((~less_3(B)) | (v90(constB183, B) <=> v90(constB182, B))))),
% 16.03/11.28 inference(rewrite,[status(thm)],[])).
% 16.03/11.28 tff(24408,plain,
% 16.03/11.28 ((~![VarCurr: $i, VarNext: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v90(VarCurr, B))))) | (v100(constB183) | (~nextState(constB182, constB183)) | ![B: $i] : ((~less_3(B)) | (v90(constB183, B) <=> v90(constB182, B))))),
% 16.03/11.28 inference(quant_inst,[status(thm)],[])).
% 16.03/11.28 tff(24409,plain,
% 16.03/11.28 ((~![VarCurr: $i, VarNext: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v90(VarCurr, B))))) | v100(constB183) | (~nextState(constB182, constB183)) | ![B: $i] : ((~less_3(B)) | (v90(constB183, B) <=> v90(constB182, B)))),
% 16.03/11.28 inference(modus_ponens,[status(thm)],[24408, 24407])).
% 16.03/11.28 tff(24410,plain,
% 16.03/11.28 (v100(constB183) | ![B: $i] : ((~less_3(B)) | (v90(constB183, B) <=> v90(constB182, B)))),
% 16.03/11.28 inference(unit_resolution,[status(thm)],[24409, 24386, 479])).
% 16.03/11.28 tff(24411,plain,
% 16.03/11.28 (![B: $i] : ((~less_3(B)) | (v90(constB183, B) <=> v90(constB182, B)))),
% 16.03/11.28 inference(unit_resolution,[status(thm)],[24410, 24406])).
% 16.03/11.28 tff(24412,plain,
% 16.03/11.28 (((~![B: $i] : ((~less_3(B)) | (v90(constB183, B) <=> v90(constB182, B)))) | ((~less_3(bitIndex2)) | (v90(constB183, bitIndex2) <=> v90(constB182, bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v90(constB183, B) <=> v90(constB182, B)))) | (~less_3(bitIndex2)) | (v90(constB183, bitIndex2) <=> v90(constB182, bitIndex2)))),
% 16.03/11.28 inference(rewrite,[status(thm)],[])).
% 16.03/11.28 tff(24413,plain,
% 16.03/11.28 ((~![B: $i] : ((~less_3(B)) | (v90(constB183, B) <=> v90(constB182, B)))) | ((~less_3(bitIndex2)) | (v90(constB183, bitIndex2) <=> v90(constB182, bitIndex2)))),
% 16.03/11.28 inference(quant_inst,[status(thm)],[])).
% 16.03/11.28 tff(24414,plain,
% 16.03/11.28 ((~![B: $i] : ((~less_3(B)) | (v90(constB183, B) <=> v90(constB182, B)))) | (~less_3(bitIndex2)) | (v90(constB183, bitIndex2) <=> v90(constB182, bitIndex2))),
% 16.03/11.28 inference(modus_ponens,[status(thm)],[24413, 24412])).
% 16.03/11.28 tff(24415,plain,
% 16.03/11.28 (v90(constB183, bitIndex2) <=> v90(constB182, bitIndex2)),
% 16.03/11.28 inference(unit_resolution,[status(thm)],[24414, 413, 24411])).
% 16.03/11.28 tff(24416,plain,
% 16.03/11.28 (nextState(constB181, constB182) <=> nextState(constB181, constB182)),
% 16.03/11.28 inference(rewrite,[status(thm)],[])).
% 16.03/11.28 tff(24417,axiom,(nextState(constB181, constB182)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_181')).
% 16.03/11.28 tff(24418,plain,
% 16.03/11.28 (nextState(constB181, constB182)),
% 16.03/11.28 inference(modus_ponens,[status(thm)],[24417, 24416])).
% 16.03/11.28 tff(24419,plain,
% 16.03/11.28 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB181, constB182)) | (v100(constB182) <=> (~((~v101(constB182)) | (~v110(constB182))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB181, constB182)) | (v100(constB182) <=> (~((~v101(constB182)) | (~v110(constB182))))))),
% 16.03/11.28 inference(rewrite,[status(thm)],[])).
% 16.03/11.28 tff(24420,plain,
% 16.03/11.28 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB181, constB182)) | (v100(constB182) <=> (~((~v101(constB182)) | (~v110(constB182))))))),
% 16.03/11.28 inference(quant_inst,[status(thm)],[])).
% 16.03/11.28 tff(24421,plain,
% 16.03/11.28 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB181, constB182)) | (v100(constB182) <=> (~((~v101(constB182)) | (~v110(constB182)))))),
% 16.03/11.28 inference(modus_ponens,[status(thm)],[24420, 24419])).
% 16.03/11.28 tff(24422,plain,
% 16.03/11.28 (v100(constB182) <=> (~((~v101(constB182)) | (~v110(constB182))))),
% 16.03/11.28 inference(unit_resolution,[status(thm)],[24421, 24418, 430])).
% 16.03/11.28 tff(24423,plain,
% 16.03/11.28 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB181, constB182)) | (v101(constB182) <=> (~((~v1(constB182)) | (~v102(constB182))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB181, constB182)) | (v101(constB182) <=> (~((~v1(constB182)) | (~v102(constB182))))))),
% 16.03/11.28 inference(rewrite,[status(thm)],[])).
% 16.03/11.28 tff(24424,plain,
% 16.03/11.28 (((~nextState(constB181, constB182)) | (v101(constB182) <=> (~((~v102(constB182)) | (~v1(constB182)))))) <=> ((~nextState(constB181, constB182)) | (v101(constB182) <=> (~((~v1(constB182)) | (~v102(constB182))))))),
% 16.03/11.28 inference(rewrite,[status(thm)],[])).
% 16.03/11.28 tff(24425,plain,
% 16.03/11.28 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB181, constB182)) | (v101(constB182) <=> (~((~v102(constB182)) | (~v1(constB182))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB181, constB182)) | (v101(constB182) <=> (~((~v1(constB182)) | (~v102(constB182)))))))),
% 16.03/11.28 inference(monotonicity,[status(thm)],[24424])).
% 16.03/11.28 tff(24426,plain,
% 16.03/11.28 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB181, constB182)) | (v101(constB182) <=> (~((~v102(constB182)) | (~v1(constB182))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB181, constB182)) | (v101(constB182) <=> (~((~v1(constB182)) | (~v102(constB182))))))),
% 16.03/11.28 inference(transitivity,[status(thm)],[24425, 24423])).
% 16.03/11.28 tff(24427,plain,
% 16.03/11.28 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB181, constB182)) | (v101(constB182) <=> (~((~v102(constB182)) | (~v1(constB182))))))),
% 16.03/11.28 inference(quant_inst,[status(thm)],[])).
% 16.03/11.28 tff(24428,plain,
% 16.03/11.28 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB181, constB182)) | (v101(constB182) <=> (~((~v1(constB182)) | (~v102(constB182)))))),
% 16.03/11.28 inference(modus_ponens,[status(thm)],[24427, 24426])).
% 16.03/11.28 tff(24429,plain,
% 16.03/11.28 (v101(constB182) <=> (~((~v1(constB182)) | (~v102(constB182))))),
% 16.03/11.28 inference(unit_resolution,[status(thm)],[24428, 24418, 450])).
% 16.03/11.28 tff(24430,plain,
% 16.03/11.28 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | ((~nextState(constB181, constB182)) | ((~v102(constB182)) <=> v104(constB182)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | (~nextState(constB181, constB182)) | ((~v102(constB182)) <=> v104(constB182)))),
% 16.03/11.28 inference(rewrite,[status(thm)],[])).
% 16.03/11.28 tff(24431,plain,
% 16.03/11.28 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | ((~nextState(constB181, constB182)) | ((~v102(constB182)) <=> v104(constB182)))),
% 16.03/11.28 inference(quant_inst,[status(thm)],[])).
% 16.03/11.28 tff(24432,plain,
% 16.03/11.28 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | (~nextState(constB181, constB182)) | ((~v102(constB182)) <=> v104(constB182))),
% 16.03/11.29 inference(modus_ponens,[status(thm)],[24431, 24430])).
% 16.03/11.29 tff(24433,plain,
% 16.03/11.29 ((~v102(constB182)) <=> v104(constB182)),
% 16.03/11.29 inference(unit_resolution,[status(thm)],[24432, 24418, 512])).
% 16.03/11.29 tff(24434,plain,
% 16.03/11.29 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB181, constB182)) | (v104(constB182) <=> v1(constB181)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | (~nextState(constB181, constB182)) | (v104(constB182) <=> v1(constB181)))),
% 16.03/11.29 inference(rewrite,[status(thm)],[])).
% 16.03/11.29 tff(24435,plain,
% 16.03/11.29 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB181, constB182)) | (v104(constB182) <=> v1(constB181)))),
% 16.03/11.29 inference(quant_inst,[status(thm)],[])).
% 16.03/11.29 tff(24436,plain,
% 16.03/11.29 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | (~nextState(constB181, constB182)) | (v104(constB182) <=> v1(constB181))),
% 16.03/11.29 inference(modus_ponens,[status(thm)],[24435, 24434])).
% 16.03/11.29 tff(24437,plain,
% 16.03/11.29 (v104(constB182) <=> v1(constB181)),
% 16.03/11.29 inference(unit_resolution,[status(thm)],[24436, 24418, 526])).
% 16.03/11.29 tff(24438,plain,
% 16.03/11.29 ((~v1(constB181)) <=> (~v1(constB181))),
% 16.03/11.29 inference(rewrite,[status(thm)],[])).
% 16.03/11.29 tff(24439,axiom,(~v1(constB181)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_181')).
% 16.03/11.29 tff(24440,plain,
% 16.03/11.29 (~v1(constB181)),
% 16.03/11.29 inference(modus_ponens,[status(thm)],[24439, 24438])).
% 16.03/11.29 tff(24441,plain,
% 16.03/11.29 ((~(v104(constB182) <=> v1(constB181))) | (~v104(constB182)) | v1(constB181)),
% 16.03/11.29 inference(tautology,[status(thm)],[])).
% 16.03/11.29 tff(24442,plain,
% 16.03/11.29 ((~(v104(constB182) <=> v1(constB181))) | (~v104(constB182))),
% 16.03/11.29 inference(unit_resolution,[status(thm)],[24441, 24440])).
% 16.03/11.29 tff(24443,plain,
% 16.03/11.29 (~v104(constB182)),
% 16.03/11.29 inference(unit_resolution,[status(thm)],[24442, 24437])).
% 16.03/11.29 tff(24444,plain,
% 16.03/11.29 ((~((~v102(constB182)) <=> v104(constB182))) | v102(constB182) | v104(constB182)),
% 16.03/11.29 inference(tautology,[status(thm)],[])).
% 16.03/11.29 tff(24445,plain,
% 16.03/11.29 (v102(constB182)),
% 16.03/11.29 inference(unit_resolution,[status(thm)],[24444, 24443, 24433])).
% 16.03/11.29 tff(24446,plain,
% 16.03/11.29 (v1(constB182) <=> v1(constB182)),
% 16.03/11.29 inference(rewrite,[status(thm)],[])).
% 16.03/11.29 tff(24447,axiom,(v1(constB182)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_182')).
% 16.03/11.29 tff(24448,plain,
% 16.03/11.29 (v1(constB182)),
% 16.03/11.29 inference(modus_ponens,[status(thm)],[24447, 24446])).
% 16.03/11.29 tff(24449,plain,
% 16.03/11.29 ((~((~v1(constB182)) | (~v102(constB182)))) | (~v1(constB182)) | (~v102(constB182))),
% 16.03/11.29 inference(tautology,[status(thm)],[])).
% 16.03/11.29 tff(24450,plain,
% 16.03/11.29 ((~((~v1(constB182)) | (~v102(constB182)))) | (~v102(constB182))),
% 16.03/11.29 inference(unit_resolution,[status(thm)],[24449, 24448])).
% 16.03/11.29 tff(24451,plain,
% 16.03/11.29 (~((~v1(constB182)) | (~v102(constB182)))),
% 16.03/11.29 inference(unit_resolution,[status(thm)],[24450, 24445])).
% 16.03/11.29 tff(24452,plain,
% 16.03/11.29 ((~(v101(constB182) <=> (~((~v1(constB182)) | (~v102(constB182)))))) | v101(constB182) | ((~v1(constB182)) | (~v102(constB182)))),
% 16.03/11.29 inference(tautology,[status(thm)],[])).
% 16.03/11.29 tff(24453,plain,
% 16.03/11.29 (v101(constB182)),
% 16.03/11.29 inference(unit_resolution,[status(thm)],[24452, 24451, 24429])).
% 16.03/11.29 tff(24454,plain,
% 16.03/11.29 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | ((~nextState(constB181, constB182)) | (v110(constB182) <=> v108(constB181)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | (~nextState(constB181, constB182)) | (v110(constB182) <=> v108(constB181)))),
% 16.03/11.29 inference(rewrite,[status(thm)],[])).
% 16.03/11.29 tff(24455,plain,
% 16.03/11.29 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | ((~nextState(constB181, constB182)) | (v110(constB182) <=> v108(constB181)))),
% 16.03/11.29 inference(quant_inst,[status(thm)],[])).
% 16.03/11.29 tff(24456,plain,
% 16.03/11.29 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | (~nextState(constB181, constB182)) | (v110(constB182) <=> v108(constB181))),
% 16.03/11.29 inference(modus_ponens,[status(thm)],[24455, 24454])).
% 16.03/11.29 tff(24457,plain,
% 16.03/11.29 (v110(constB182) <=> v108(constB181)),
% 16.03/11.29 inference(unit_resolution,[status(thm)],[24456, 24418, 556])).
% 16.03/11.29 tff(24458,plain,
% 16.03/11.29 ((~![VarCurr: $i] : (v108(VarCurr) <=> (v111(VarCurr) | v112(VarCurr)))) | (v108(constB181) <=> (v111(constB181) | v112(constB181)))),
% 16.03/11.29 inference(quant_inst,[status(thm)],[])).
% 16.03/11.29 tff(24459,plain,
% 16.03/11.29 (v108(constB181) <=> (v111(constB181) | v112(constB181))),
% 16.03/11.29 inference(unit_resolution,[status(thm)],[24458, 567])).
% 16.03/11.29 tff(24460,plain,
% 16.03/11.29 ((~![VarCurr: $i] : (v112(VarCurr) <=> (~((~v113(VarCurr)) | (~v126(VarCurr)))))) | (v112(constB181) <=> (~((~v113(constB181)) | (~v126(constB181)))))),
% 16.03/11.29 inference(quant_inst,[status(thm)],[])).
% 16.03/11.29 tff(24461,plain,
% 16.03/11.29 (v112(constB181) <=> (~((~v113(constB181)) | (~v126(constB181))))),
% 16.03/11.29 inference(unit_resolution,[status(thm)],[24460, 579])).
% 16.03/11.29 tff(24462,plain,
% 16.03/11.29 ((~![VarCurr: $i] : (v113(VarCurr) <=> (v114(VarCurr) | v125(VarCurr)))) | (v113(constB181) <=> (v114(constB181) | v125(constB181)))),
% 16.03/11.29 inference(quant_inst,[status(thm)],[])).
% 16.03/11.29 tff(24463,plain,
% 16.03/11.29 (v113(constB181) <=> (v114(constB181) | v125(constB181))),
% 16.03/11.29 inference(unit_resolution,[status(thm)],[24462, 588])).
% 16.03/11.29 tff(24464,plain,
% 16.03/11.29 ((~![VarCurr: $i] : (v114(VarCurr) <=> (v115(VarCurr) | v124(VarCurr)))) | (v114(constB181) <=> (v115(constB181) | v124(constB181)))),
% 16.03/11.29 inference(quant_inst,[status(thm)],[])).
% 16.03/11.29 tff(24465,plain,
% 16.03/11.29 (v114(constB181) <=> (v115(constB181) | v124(constB181))),
% 16.03/11.29 inference(unit_resolution,[status(thm)],[24464, 597])).
% 16.03/11.29 tff(24466,plain,
% 16.03/11.29 ((~![VarCurr: $i] : (v115(VarCurr) <=> (v116(VarCurr) | v123(VarCurr)))) | (v115(constB181) <=> (v116(constB181) | v123(constB181)))),
% 16.03/11.29 inference(quant_inst,[status(thm)],[])).
% 16.03/11.29 tff(24467,plain,
% 16.03/11.29 (v115(constB181) <=> (v116(constB181) | v123(constB181))),
% 16.03/11.29 inference(unit_resolution,[status(thm)],[24466, 606])).
% 16.03/11.29 tff(24468,plain,
% 16.03/11.29 ((~![VarCurr: $i] : (v116(VarCurr) <=> (v117(VarCurr) | v122(VarCurr)))) | (v116(constB181) <=> (v117(constB181) | v122(constB181)))),
% 16.03/11.29 inference(quant_inst,[status(thm)],[])).
% 16.03/11.29 tff(24469,plain,
% 16.03/11.29 (v116(constB181) <=> (v117(constB181) | v122(constB181))),
% 16.03/11.29 inference(unit_resolution,[status(thm)],[24468, 719])).
% 16.03/11.29 tff(24470,plain,
% 16.03/11.29 (((~![VarCurr: $i] : (v122(VarCurr) <=> (~(v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)))))) | (v122(constB181) <=> (~(v90(constB181, bitIndex2) | (~v90(constB181, bitIndex1)) | (~v90(constB181, bitIndex0)))))) <=> ((~![VarCurr: $i] : (v122(VarCurr) <=> (~(v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)))))) | (v122(constB181) <=> (~(v90(constB181, bitIndex2) | (~v90(constB181, bitIndex1)) | (~v90(constB181, bitIndex0))))))),
% 16.03/11.29 inference(rewrite,[status(thm)],[])).
% 16.03/11.29 tff(24471,plain,
% 16.03/11.29 ((v122(constB181) <=> (~(v90(constB181, bitIndex2) | (~v90(constB181, bitIndex0)) | (~v90(constB181, bitIndex1))))) <=> (v122(constB181) <=> (~(v90(constB181, bitIndex2) | (~v90(constB181, bitIndex1)) | (~v90(constB181, bitIndex0)))))),
% 16.03/11.29 inference(rewrite,[status(thm)],[])).
% 16.03/11.29 tff(24472,plain,
% 16.03/11.29 (((~![VarCurr: $i] : (v122(VarCurr) <=> (~(v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)))))) | (v122(constB181) <=> (~(v90(constB181, bitIndex2) | (~v90(constB181, bitIndex0)) | (~v90(constB181, bitIndex1)))))) <=> ((~![VarCurr: $i] : (v122(VarCurr) <=> (~(v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)))))) | (v122(constB181) <=> (~(v90(constB181, bitIndex2) | (~v90(constB181, bitIndex1)) | (~v90(constB181, bitIndex0))))))),
% 16.03/11.29 inference(monotonicity,[status(thm)],[24471])).
% 16.03/11.29 tff(24473,plain,
% 16.03/11.29 (((~![VarCurr: $i] : (v122(VarCurr) <=> (~(v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)))))) | (v122(constB181) <=> (~(v90(constB181, bitIndex2) | (~v90(constB181, bitIndex0)) | (~v90(constB181, bitIndex1)))))) <=> ((~![VarCurr: $i] : (v122(VarCurr) <=> (~(v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)))))) | (v122(constB181) <=> (~(v90(constB181, bitIndex2) | (~v90(constB181, bitIndex1)) | (~v90(constB181, bitIndex0))))))),
% 16.03/11.29 inference(transitivity,[status(thm)],[24472, 24470])).
% 16.03/11.29 tff(24474,plain,
% 16.03/11.29 ((~![VarCurr: $i] : (v122(VarCurr) <=> (~(v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)))))) | (v122(constB181) <=> (~(v90(constB181, bitIndex2) | (~v90(constB181, bitIndex0)) | (~v90(constB181, bitIndex1)))))),
% 16.03/11.29 inference(quant_inst,[status(thm)],[])).
% 16.03/11.29 tff(24475,plain,
% 16.03/11.29 ((~![VarCurr: $i] : (v122(VarCurr) <=> (~(v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)))))) | (v122(constB181) <=> (~(v90(constB181, bitIndex2) | (~v90(constB181, bitIndex1)) | (~v90(constB181, bitIndex0)))))),
% 16.03/11.29 inference(modus_ponens,[status(thm)],[24474, 24473])).
% 16.03/11.29 tff(24476,plain,
% 16.03/11.29 (v122(constB181) <=> (~(v90(constB181, bitIndex2) | (~v90(constB181, bitIndex1)) | (~v90(constB181, bitIndex0))))),
% 16.03/11.29 inference(unit_resolution,[status(thm)],[24475, 734])).
% 16.03/11.29 tff(24477,plain,
% 16.03/11.29 (nextState(constB180, constB181) <=> nextState(constB180, constB181)),
% 16.03/11.29 inference(rewrite,[status(thm)],[])).
% 16.03/11.29 tff(24478,axiom,(nextState(constB180, constB181)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_180')).
% 16.03/11.29 tff(24479,plain,
% 16.03/11.29 (nextState(constB180, constB181)),
% 16.03/11.29 inference(modus_ponens,[status(thm)],[24478, 24477])).
% 16.03/11.29 tff(24480,plain,
% 16.03/11.29 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB180, constB181)) | (v100(constB181) <=> (~((~v101(constB181)) | (~v110(constB181))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB180, constB181)) | (v100(constB181) <=> (~((~v101(constB181)) | (~v110(constB181))))))),
% 16.03/11.29 inference(rewrite,[status(thm)],[])).
% 16.03/11.29 tff(24481,plain,
% 16.03/11.29 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB180, constB181)) | (v100(constB181) <=> (~((~v101(constB181)) | (~v110(constB181))))))),
% 16.03/11.29 inference(quant_inst,[status(thm)],[])).
% 16.03/11.29 tff(24482,plain,
% 16.03/11.29 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB180, constB181)) | (v100(constB181) <=> (~((~v101(constB181)) | (~v110(constB181)))))),
% 16.03/11.29 inference(modus_ponens,[status(thm)],[24481, 24480])).
% 16.03/11.29 tff(24483,plain,
% 16.03/11.29 (v100(constB181) <=> (~((~v101(constB181)) | (~v110(constB181))))),
% 16.03/11.29 inference(unit_resolution,[status(thm)],[24482, 24479, 430])).
% 16.03/11.29 tff(24484,plain,
% 16.03/11.29 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB180, constB181)) | (v101(constB181) <=> (~((~v1(constB181)) | (~v102(constB181))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB180, constB181)) | (v101(constB181) <=> (~((~v1(constB181)) | (~v102(constB181))))))),
% 16.03/11.29 inference(rewrite,[status(thm)],[])).
% 16.03/11.29 tff(24485,plain,
% 16.03/11.29 (((~nextState(constB180, constB181)) | (v101(constB181) <=> (~((~v102(constB181)) | (~v1(constB181)))))) <=> ((~nextState(constB180, constB181)) | (v101(constB181) <=> (~((~v1(constB181)) | (~v102(constB181))))))),
% 16.03/11.29 inference(rewrite,[status(thm)],[])).
% 16.03/11.29 tff(24486,plain,
% 16.03/11.29 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB180, constB181)) | (v101(constB181) <=> (~((~v102(constB181)) | (~v1(constB181))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB180, constB181)) | (v101(constB181) <=> (~((~v1(constB181)) | (~v102(constB181)))))))),
% 16.03/11.29 inference(monotonicity,[status(thm)],[24485])).
% 16.03/11.29 tff(24487,plain,
% 16.03/11.29 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB180, constB181)) | (v101(constB181) <=> (~((~v102(constB181)) | (~v1(constB181))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB180, constB181)) | (v101(constB181) <=> (~((~v1(constB181)) | (~v102(constB181))))))),
% 16.03/11.29 inference(transitivity,[status(thm)],[24486, 24484])).
% 16.03/11.29 tff(24488,plain,
% 16.03/11.29 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB180, constB181)) | (v101(constB181) <=> (~((~v102(constB181)) | (~v1(constB181))))))),
% 16.03/11.29 inference(quant_inst,[status(thm)],[])).
% 16.03/11.29 tff(24489,plain,
% 16.03/11.29 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB180, constB181)) | (v101(constB181) <=> (~((~v1(constB181)) | (~v102(constB181)))))),
% 16.03/11.29 inference(modus_ponens,[status(thm)],[24488, 24487])).
% 16.03/11.29 tff(24490,plain,
% 16.03/11.29 (v101(constB181) <=> (~((~v1(constB181)) | (~v102(constB181))))),
% 16.03/11.29 inference(unit_resolution,[status(thm)],[24489, 24479, 450])).
% 16.03/11.29 tff(24491,plain,
% 16.03/11.29 (((~v1(constB181)) | (~v102(constB181))) | v1(constB181)),
% 16.03/11.29 inference(tautology,[status(thm)],[])).
% 16.03/11.29 tff(24492,plain,
% 16.03/11.29 ((~v1(constB181)) | (~v102(constB181))),
% 16.03/11.29 inference(unit_resolution,[status(thm)],[24491, 24440])).
% 16.03/11.29 tff(24493,plain,
% 16.03/11.29 ((~(v101(constB181) <=> (~((~v1(constB181)) | (~v102(constB181)))))) | (~v101(constB181)) | (~((~v1(constB181)) | (~v102(constB181))))),
% 16.03/11.29 inference(tautology,[status(thm)],[])).
% 16.03/11.29 tff(24494,plain,
% 16.03/11.29 ((~(v101(constB181) <=> (~((~v1(constB181)) | (~v102(constB181)))))) | (~v101(constB181))),
% 16.03/11.29 inference(unit_resolution,[status(thm)],[24493, 24492])).
% 16.03/11.29 tff(24495,plain,
% 16.03/11.29 (~v101(constB181)),
% 16.03/11.29 inference(unit_resolution,[status(thm)],[24494, 24490])).
% 16.03/11.29 tff(24496,plain,
% 16.03/11.29 (((~v101(constB181)) | (~v110(constB181))) | v101(constB181)),
% 16.03/11.29 inference(tautology,[status(thm)],[])).
% 16.03/11.29 tff(24497,plain,
% 16.03/11.29 ((~v101(constB181)) | (~v110(constB181))),
% 16.03/11.29 inference(unit_resolution,[status(thm)],[24496, 24495])).
% 16.03/11.29 tff(24498,plain,
% 16.03/11.29 ((~(v100(constB181) <=> (~((~v101(constB181)) | (~v110(constB181)))))) | (~v100(constB181)) | (~((~v101(constB181)) | (~v110(constB181))))),
% 16.03/11.29 inference(tautology,[status(thm)],[])).
% 16.03/11.29 tff(24499,plain,
% 16.03/11.29 (~v100(constB181)),
% 16.03/11.29 inference(unit_resolution,[status(thm)],[24498, 24497, 24483])).
% 16.03/11.29 tff(24500,plain,
% 16.03/11.29 (((~![VarCurr: $i, VarNext: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v90(VarCurr, B))))) | (v100(constB181) | (~nextState(constB180, constB181)) | ![B: $i] : ((~less_3(B)) | (v90(constB181, B) <=> v90(constB180, B))))) <=> ((~![VarCurr: $i, VarNext: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v90(VarCurr, B))))) | v100(constB181) | (~nextState(constB180, constB181)) | ![B: $i] : ((~less_3(B)) | (v90(constB181, B) <=> v90(constB180, B))))),
% 16.03/11.29 inference(rewrite,[status(thm)],[])).
% 16.03/11.29 tff(24501,plain,
% 16.03/11.29 ((~![VarCurr: $i, VarNext: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v90(VarCurr, B))))) | (v100(constB181) | (~nextState(constB180, constB181)) | ![B: $i] : ((~less_3(B)) | (v90(constB181, B) <=> v90(constB180, B))))),
% 16.03/11.29 inference(quant_inst,[status(thm)],[])).
% 16.03/11.29 tff(24502,plain,
% 16.03/11.29 ((~![VarCurr: $i, VarNext: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v90(VarCurr, B))))) | v100(constB181) | (~nextState(constB180, constB181)) | ![B: $i] : ((~less_3(B)) | (v90(constB181, B) <=> v90(constB180, B)))),
% 16.03/11.29 inference(modus_ponens,[status(thm)],[24501, 24500])).
% 16.03/11.30 tff(24503,plain,
% 16.03/11.30 (v100(constB181) | ![B: $i] : ((~less_3(B)) | (v90(constB181, B) <=> v90(constB180, B)))),
% 16.03/11.30 inference(unit_resolution,[status(thm)],[24502, 24479, 479])).
% 16.03/11.30 tff(24504,plain,
% 16.03/11.30 (![B: $i] : ((~less_3(B)) | (v90(constB181, B) <=> v90(constB180, B)))),
% 16.03/11.30 inference(unit_resolution,[status(thm)],[24503, 24499])).
% 16.03/11.30 tff(24505,plain,
% 16.03/11.30 (((~![B: $i] : ((~less_3(B)) | (v90(constB181, B) <=> v90(constB180, B)))) | ((~less_3(bitIndex2)) | (v90(constB181, bitIndex2) <=> v90(constB180, bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v90(constB181, B) <=> v90(constB180, B)))) | (~less_3(bitIndex2)) | (v90(constB181, bitIndex2) <=> v90(constB180, bitIndex2)))),
% 16.03/11.30 inference(rewrite,[status(thm)],[])).
% 16.03/11.30 tff(24506,plain,
% 16.03/11.30 ((~![B: $i] : ((~less_3(B)) | (v90(constB181, B) <=> v90(constB180, B)))) | ((~less_3(bitIndex2)) | (v90(constB181, bitIndex2) <=> v90(constB180, bitIndex2)))),
% 16.03/11.30 inference(quant_inst,[status(thm)],[])).
% 16.03/11.30 tff(24507,plain,
% 16.03/11.30 ((~![B: $i] : ((~less_3(B)) | (v90(constB181, B) <=> v90(constB180, B)))) | (~less_3(bitIndex2)) | (v90(constB181, bitIndex2) <=> v90(constB180, bitIndex2))),
% 16.03/11.30 inference(modus_ponens,[status(thm)],[24506, 24505])).
% 16.03/11.30 tff(24508,plain,
% 16.03/11.30 (v90(constB181, bitIndex2) <=> v90(constB180, bitIndex2)),
% 16.03/11.30 inference(unit_resolution,[status(thm)],[24507, 413, 24504])).
% 16.03/11.30 tff(24509,plain,
% 16.03/11.30 (nextState(constB179, constB180) <=> nextState(constB179, constB180)),
% 16.03/11.30 inference(rewrite,[status(thm)],[])).
% 16.03/11.30 tff(24510,axiom,(nextState(constB179, constB180)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_179')).
% 16.03/11.30 tff(24511,plain,
% 16.03/11.30 (nextState(constB179, constB180)),
% 16.03/11.30 inference(modus_ponens,[status(thm)],[24510, 24509])).
% 16.03/11.30 tff(24512,plain,
% 16.03/11.30 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB179, constB180)) | (v100(constB180) <=> (~((~v101(constB180)) | (~v110(constB180))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB179, constB180)) | (v100(constB180) <=> (~((~v101(constB180)) | (~v110(constB180))))))),
% 16.03/11.30 inference(rewrite,[status(thm)],[])).
% 16.03/11.30 tff(24513,plain,
% 16.03/11.30 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB179, constB180)) | (v100(constB180) <=> (~((~v101(constB180)) | (~v110(constB180))))))),
% 16.03/11.30 inference(quant_inst,[status(thm)],[])).
% 16.03/11.30 tff(24514,plain,
% 16.03/11.30 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB179, constB180)) | (v100(constB180) <=> (~((~v101(constB180)) | (~v110(constB180)))))),
% 16.03/11.30 inference(modus_ponens,[status(thm)],[24513, 24512])).
% 16.03/11.30 tff(24515,plain,
% 16.03/11.30 (v100(constB180) <=> (~((~v101(constB180)) | (~v110(constB180))))),
% 16.03/11.30 inference(unit_resolution,[status(thm)],[24514, 24511, 430])).
% 16.03/11.30 tff(24516,plain,
% 16.03/11.30 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB179, constB180)) | (v101(constB180) <=> (~((~v1(constB180)) | (~v102(constB180))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB179, constB180)) | (v101(constB180) <=> (~((~v1(constB180)) | (~v102(constB180))))))),
% 16.03/11.30 inference(rewrite,[status(thm)],[])).
% 16.03/11.30 tff(24517,plain,
% 16.03/11.30 (((~nextState(constB179, constB180)) | (v101(constB180) <=> (~((~v102(constB180)) | (~v1(constB180)))))) <=> ((~nextState(constB179, constB180)) | (v101(constB180) <=> (~((~v1(constB180)) | (~v102(constB180))))))),
% 16.03/11.30 inference(rewrite,[status(thm)],[])).
% 16.03/11.30 tff(24518,plain,
% 16.03/11.30 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB179, constB180)) | (v101(constB180) <=> (~((~v102(constB180)) | (~v1(constB180))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB179, constB180)) | (v101(constB180) <=> (~((~v1(constB180)) | (~v102(constB180)))))))),
% 16.10/11.30 inference(monotonicity,[status(thm)],[24517])).
% 16.10/11.30 tff(24519,plain,
% 16.10/11.30 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB179, constB180)) | (v101(constB180) <=> (~((~v102(constB180)) | (~v1(constB180))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB179, constB180)) | (v101(constB180) <=> (~((~v1(constB180)) | (~v102(constB180))))))),
% 16.10/11.30 inference(transitivity,[status(thm)],[24518, 24516])).
% 16.10/11.30 tff(24520,plain,
% 16.10/11.30 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB179, constB180)) | (v101(constB180) <=> (~((~v102(constB180)) | (~v1(constB180))))))),
% 16.10/11.30 inference(quant_inst,[status(thm)],[])).
% 16.10/11.30 tff(24521,plain,
% 16.10/11.30 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB179, constB180)) | (v101(constB180) <=> (~((~v1(constB180)) | (~v102(constB180)))))),
% 16.10/11.30 inference(modus_ponens,[status(thm)],[24520, 24519])).
% 16.10/11.30 tff(24522,plain,
% 16.10/11.30 (v101(constB180) <=> (~((~v1(constB180)) | (~v102(constB180))))),
% 16.10/11.30 inference(unit_resolution,[status(thm)],[24521, 24511, 450])).
% 16.10/11.30 tff(24523,plain,
% 16.10/11.30 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | ((~nextState(constB179, constB180)) | ((~v102(constB180)) <=> v104(constB180)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | (~nextState(constB179, constB180)) | ((~v102(constB180)) <=> v104(constB180)))),
% 16.10/11.30 inference(rewrite,[status(thm)],[])).
% 16.10/11.30 tff(24524,plain,
% 16.10/11.30 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | ((~nextState(constB179, constB180)) | ((~v102(constB180)) <=> v104(constB180)))),
% 16.10/11.30 inference(quant_inst,[status(thm)],[])).
% 16.10/11.30 tff(24525,plain,
% 16.10/11.30 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | (~nextState(constB179, constB180)) | ((~v102(constB180)) <=> v104(constB180))),
% 16.10/11.30 inference(modus_ponens,[status(thm)],[24524, 24523])).
% 16.10/11.30 tff(24526,plain,
% 16.10/11.30 ((~v102(constB180)) <=> v104(constB180)),
% 16.10/11.30 inference(unit_resolution,[status(thm)],[24525, 24511, 512])).
% 16.10/11.30 tff(24527,plain,
% 16.10/11.30 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB179, constB180)) | (v104(constB180) <=> v1(constB179)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | (~nextState(constB179, constB180)) | (v104(constB180) <=> v1(constB179)))),
% 16.10/11.30 inference(rewrite,[status(thm)],[])).
% 16.10/11.30 tff(24528,plain,
% 16.10/11.30 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB179, constB180)) | (v104(constB180) <=> v1(constB179)))),
% 16.10/11.30 inference(quant_inst,[status(thm)],[])).
% 16.10/11.30 tff(24529,plain,
% 16.10/11.30 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | (~nextState(constB179, constB180)) | (v104(constB180) <=> v1(constB179))),
% 16.10/11.30 inference(modus_ponens,[status(thm)],[24528, 24527])).
% 16.10/11.30 tff(24530,plain,
% 16.10/11.30 (v104(constB180) <=> v1(constB179)),
% 16.10/11.30 inference(unit_resolution,[status(thm)],[24529, 24511, 526])).
% 16.10/11.30 tff(24531,plain,
% 16.10/11.30 ((~v1(constB179)) <=> (~v1(constB179))),
% 16.10/11.30 inference(rewrite,[status(thm)],[])).
% 16.10/11.30 tff(24532,axiom,(~v1(constB179)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_179')).
% 16.10/11.30 tff(24533,plain,
% 16.10/11.30 (~v1(constB179)),
% 16.10/11.30 inference(modus_ponens,[status(thm)],[24532, 24531])).
% 16.10/11.30 tff(24534,plain,
% 16.10/11.30 ((~(v104(constB180) <=> v1(constB179))) | (~v104(constB180)) | v1(constB179)),
% 16.10/11.30 inference(tautology,[status(thm)],[])).
% 16.10/11.30 tff(24535,plain,
% 16.10/11.30 ((~(v104(constB180) <=> v1(constB179))) | (~v104(constB180))),
% 16.10/11.30 inference(unit_resolution,[status(thm)],[24534, 24533])).
% 16.10/11.30 tff(24536,plain,
% 16.10/11.30 (~v104(constB180)),
% 16.10/11.30 inference(unit_resolution,[status(thm)],[24535, 24530])).
% 16.10/11.30 tff(24537,plain,
% 16.10/11.30 ((~((~v102(constB180)) <=> v104(constB180))) | v102(constB180) | v104(constB180)),
% 16.10/11.30 inference(tautology,[status(thm)],[])).
% 16.10/11.30 tff(24538,plain,
% 16.10/11.30 (v102(constB180)),
% 16.10/11.30 inference(unit_resolution,[status(thm)],[24537, 24536, 24526])).
% 16.10/11.30 tff(24539,plain,
% 16.10/11.30 (v1(constB180) <=> v1(constB180)),
% 16.10/11.30 inference(rewrite,[status(thm)],[])).
% 16.10/11.30 tff(24540,axiom,(v1(constB180)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_180')).
% 16.10/11.30 tff(24541,plain,
% 16.10/11.30 (v1(constB180)),
% 16.10/11.30 inference(modus_ponens,[status(thm)],[24540, 24539])).
% 16.10/11.30 tff(24542,plain,
% 16.10/11.30 ((~((~v1(constB180)) | (~v102(constB180)))) | (~v1(constB180)) | (~v102(constB180))),
% 16.10/11.30 inference(tautology,[status(thm)],[])).
% 16.10/11.30 tff(24543,plain,
% 16.10/11.30 ((~((~v1(constB180)) | (~v102(constB180)))) | (~v102(constB180))),
% 16.10/11.30 inference(unit_resolution,[status(thm)],[24542, 24541])).
% 16.10/11.30 tff(24544,plain,
% 16.10/11.30 (~((~v1(constB180)) | (~v102(constB180)))),
% 16.10/11.30 inference(unit_resolution,[status(thm)],[24543, 24538])).
% 16.10/11.30 tff(24545,plain,
% 16.10/11.30 ((~(v101(constB180) <=> (~((~v1(constB180)) | (~v102(constB180)))))) | v101(constB180) | ((~v1(constB180)) | (~v102(constB180)))),
% 16.10/11.30 inference(tautology,[status(thm)],[])).
% 16.10/11.30 tff(24546,plain,
% 16.10/11.30 (v101(constB180)),
% 16.10/11.30 inference(unit_resolution,[status(thm)],[24545, 24544, 24522])).
% 16.10/11.30 tff(24547,plain,
% 16.10/11.30 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | ((~nextState(constB179, constB180)) | (v110(constB180) <=> v108(constB179)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | (~nextState(constB179, constB180)) | (v110(constB180) <=> v108(constB179)))),
% 16.10/11.30 inference(rewrite,[status(thm)],[])).
% 16.10/11.30 tff(24548,plain,
% 16.10/11.30 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | ((~nextState(constB179, constB180)) | (v110(constB180) <=> v108(constB179)))),
% 16.10/11.30 inference(quant_inst,[status(thm)],[])).
% 16.10/11.30 tff(24549,plain,
% 16.10/11.30 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | (~nextState(constB179, constB180)) | (v110(constB180) <=> v108(constB179))),
% 16.10/11.30 inference(modus_ponens,[status(thm)],[24548, 24547])).
% 16.10/11.30 tff(24550,plain,
% 16.10/11.30 (v110(constB180) <=> v108(constB179)),
% 16.10/11.30 inference(unit_resolution,[status(thm)],[24549, 24511, 556])).
% 16.10/11.30 tff(24551,plain,
% 16.10/11.30 ((~![VarCurr: $i] : (v108(VarCurr) <=> (v111(VarCurr) | v112(VarCurr)))) | (v108(constB179) <=> (v111(constB179) | v112(constB179)))),
% 16.10/11.30 inference(quant_inst,[status(thm)],[])).
% 16.10/11.30 tff(24552,plain,
% 16.10/11.30 (v108(constB179) <=> (v111(constB179) | v112(constB179))),
% 16.10/11.30 inference(unit_resolution,[status(thm)],[24551, 567])).
% 16.10/11.30 tff(24553,plain,
% 16.10/11.30 ((~![VarCurr: $i] : (v112(VarCurr) <=> (~((~v113(VarCurr)) | (~v126(VarCurr)))))) | (v112(constB179) <=> (~((~v113(constB179)) | (~v126(constB179)))))),
% 16.10/11.30 inference(quant_inst,[status(thm)],[])).
% 16.10/11.30 tff(24554,plain,
% 16.10/11.30 (v112(constB179) <=> (~((~v113(constB179)) | (~v126(constB179))))),
% 16.10/11.30 inference(unit_resolution,[status(thm)],[24553, 579])).
% 16.10/11.30 tff(24555,plain,
% 16.10/11.30 ((~![VarCurr: $i] : (v113(VarCurr) <=> (v114(VarCurr) | v125(VarCurr)))) | (v113(constB179) <=> (v114(constB179) | v125(constB179)))),
% 16.10/11.30 inference(quant_inst,[status(thm)],[])).
% 16.10/11.30 tff(24556,plain,
% 16.10/11.30 (v113(constB179) <=> (v114(constB179) | v125(constB179))),
% 16.10/11.30 inference(unit_resolution,[status(thm)],[24555, 588])).
% 16.10/11.30 tff(24557,plain,
% 16.10/11.30 ((~![VarCurr: $i] : (v114(VarCurr) <=> (v115(VarCurr) | v124(VarCurr)))) | (v114(constB179) <=> (v115(constB179) | v124(constB179)))),
% 16.10/11.30 inference(quant_inst,[status(thm)],[])).
% 16.10/11.30 tff(24558,plain,
% 16.10/11.30 (v114(constB179) <=> (v115(constB179) | v124(constB179))),
% 16.10/11.30 inference(unit_resolution,[status(thm)],[24557, 597])).
% 16.10/11.30 tff(24559,plain,
% 16.10/11.30 ((~![VarCurr: $i] : (v115(VarCurr) <=> (v116(VarCurr) | v123(VarCurr)))) | (v115(constB179) <=> (v116(constB179) | v123(constB179)))),
% 16.10/11.30 inference(quant_inst,[status(thm)],[])).
% 16.10/11.30 tff(24560,plain,
% 16.10/11.30 (v115(constB179) <=> (v116(constB179) | v123(constB179))),
% 16.10/11.30 inference(unit_resolution,[status(thm)],[24559, 606])).
% 16.10/11.30 tff(24561,plain,
% 16.10/11.30 ((~![VarCurr: $i] : (v116(VarCurr) <=> (v117(VarCurr) | v122(VarCurr)))) | (v116(constB179) <=> (v117(constB179) | v122(constB179)))),
% 16.10/11.30 inference(quant_inst,[status(thm)],[])).
% 16.10/11.30 tff(24562,plain,
% 16.10/11.30 (v116(constB179) <=> (v117(constB179) | v122(constB179))),
% 16.10/11.30 inference(unit_resolution,[status(thm)],[24561, 719])).
% 16.10/11.30 tff(24563,plain,
% 16.10/11.30 ((~![VarCurr: $i] : (v117(VarCurr) <=> (v118(VarCurr) | v121(VarCurr)))) | (v117(constB179) <=> (v118(constB179) | v121(constB179)))),
% 16.10/11.30 inference(quant_inst,[status(thm)],[])).
% 16.10/11.30 tff(24564,plain,
% 16.10/11.30 (v117(constB179) <=> (v118(constB179) | v121(constB179))),
% 16.10/11.30 inference(unit_resolution,[status(thm)],[24563, 834])).
% 16.10/11.30 tff(24565,plain,
% 16.10/11.30 (((~![VarCurr: $i] : (v121(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex1)))))) | (v121(constB179) <=> (~(v90(constB179, bitIndex2) | (~v90(constB179, bitIndex1)) | v90(constB179, bitIndex0))))) <=> ((~![VarCurr: $i] : (v121(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex1)))))) | (v121(constB179) <=> (~(v90(constB179, bitIndex2) | (~v90(constB179, bitIndex1)) | v90(constB179, bitIndex0)))))),
% 16.10/11.30 inference(rewrite,[status(thm)],[])).
% 16.10/11.30 tff(24566,plain,
% 16.10/11.30 ((v121(constB179) <=> (~(v90(constB179, bitIndex0) | v90(constB179, bitIndex2) | (~v90(constB179, bitIndex1))))) <=> (v121(constB179) <=> (~(v90(constB179, bitIndex2) | (~v90(constB179, bitIndex1)) | v90(constB179, bitIndex0))))),
% 16.10/11.30 inference(rewrite,[status(thm)],[])).
% 16.10/11.30 tff(24567,plain,
% 16.10/11.30 (((~![VarCurr: $i] : (v121(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex1)))))) | (v121(constB179) <=> (~(v90(constB179, bitIndex0) | v90(constB179, bitIndex2) | (~v90(constB179, bitIndex1)))))) <=> ((~![VarCurr: $i] : (v121(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex1)))))) | (v121(constB179) <=> (~(v90(constB179, bitIndex2) | (~v90(constB179, bitIndex1)) | v90(constB179, bitIndex0)))))),
% 16.10/11.30 inference(monotonicity,[status(thm)],[24566])).
% 16.10/11.30 tff(24568,plain,
% 16.10/11.30 (((~![VarCurr: $i] : (v121(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex1)))))) | (v121(constB179) <=> (~(v90(constB179, bitIndex0) | v90(constB179, bitIndex2) | (~v90(constB179, bitIndex1)))))) <=> ((~![VarCurr: $i] : (v121(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex1)))))) | (v121(constB179) <=> (~(v90(constB179, bitIndex2) | (~v90(constB179, bitIndex1)) | v90(constB179, bitIndex0)))))),
% 16.10/11.30 inference(transitivity,[status(thm)],[24567, 24565])).
% 16.10/11.30 tff(24569,plain,
% 16.10/11.30 ((~![VarCurr: $i] : (v121(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex1)))))) | (v121(constB179) <=> (~(v90(constB179, bitIndex0) | v90(constB179, bitIndex2) | (~v90(constB179, bitIndex1)))))),
% 16.10/11.30 inference(quant_inst,[status(thm)],[])).
% 16.10/11.30 tff(24570,plain,
% 16.10/11.30 ((~![VarCurr: $i] : (v121(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex1)))))) | (v121(constB179) <=> (~(v90(constB179, bitIndex2) | (~v90(constB179, bitIndex1)) | v90(constB179, bitIndex0))))),
% 16.10/11.30 inference(modus_ponens,[status(thm)],[24569, 24568])).
% 16.10/11.30 tff(24571,plain,
% 16.10/11.30 (v121(constB179) <=> (~(v90(constB179, bitIndex2) | (~v90(constB179, bitIndex1)) | v90(constB179, bitIndex0)))),
% 16.10/11.30 inference(unit_resolution,[status(thm)],[24570, 849])).
% 16.10/11.30 tff(24572,plain,
% 16.10/11.30 (nextState(constB178, constB179) <=> nextState(constB178, constB179)),
% 16.10/11.30 inference(rewrite,[status(thm)],[])).
% 16.10/11.30 tff(24573,axiom,(nextState(constB178, constB179)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_178')).
% 16.10/11.30 tff(24574,plain,
% 16.10/11.30 (nextState(constB178, constB179)),
% 16.10/11.30 inference(modus_ponens,[status(thm)],[24573, 24572])).
% 16.10/11.30 tff(24575,plain,
% 16.10/11.30 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB178, constB179)) | (v100(constB179) <=> (~((~v101(constB179)) | (~v110(constB179))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB178, constB179)) | (v100(constB179) <=> (~((~v101(constB179)) | (~v110(constB179))))))),
% 16.10/11.30 inference(rewrite,[status(thm)],[])).
% 16.10/11.30 tff(24576,plain,
% 16.10/11.30 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB178, constB179)) | (v100(constB179) <=> (~((~v101(constB179)) | (~v110(constB179))))))),
% 16.10/11.30 inference(quant_inst,[status(thm)],[])).
% 16.10/11.30 tff(24577,plain,
% 16.10/11.30 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB178, constB179)) | (v100(constB179) <=> (~((~v101(constB179)) | (~v110(constB179)))))),
% 16.10/11.30 inference(modus_ponens,[status(thm)],[24576, 24575])).
% 16.10/11.30 tff(24578,plain,
% 16.10/11.30 (v100(constB179) <=> (~((~v101(constB179)) | (~v110(constB179))))),
% 16.10/11.30 inference(unit_resolution,[status(thm)],[24577, 24574, 430])).
% 16.10/11.30 tff(24579,plain,
% 16.10/11.30 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB178, constB179)) | (v101(constB179) <=> (~((~v1(constB179)) | (~v102(constB179))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB178, constB179)) | (v101(constB179) <=> (~((~v1(constB179)) | (~v102(constB179))))))),
% 16.10/11.30 inference(rewrite,[status(thm)],[])).
% 16.10/11.30 tff(24580,plain,
% 16.10/11.30 (((~nextState(constB178, constB179)) | (v101(constB179) <=> (~((~v102(constB179)) | (~v1(constB179)))))) <=> ((~nextState(constB178, constB179)) | (v101(constB179) <=> (~((~v1(constB179)) | (~v102(constB179))))))),
% 16.10/11.30 inference(rewrite,[status(thm)],[])).
% 16.10/11.30 tff(24581,plain,
% 16.10/11.30 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB178, constB179)) | (v101(constB179) <=> (~((~v102(constB179)) | (~v1(constB179))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB178, constB179)) | (v101(constB179) <=> (~((~v1(constB179)) | (~v102(constB179)))))))),
% 16.10/11.30 inference(monotonicity,[status(thm)],[24580])).
% 16.10/11.30 tff(24582,plain,
% 16.10/11.30 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB178, constB179)) | (v101(constB179) <=> (~((~v102(constB179)) | (~v1(constB179))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB178, constB179)) | (v101(constB179) <=> (~((~v1(constB179)) | (~v102(constB179))))))),
% 16.10/11.30 inference(transitivity,[status(thm)],[24581, 24579])).
% 16.10/11.30 tff(24583,plain,
% 16.10/11.30 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB178, constB179)) | (v101(constB179) <=> (~((~v102(constB179)) | (~v1(constB179))))))),
% 16.10/11.30 inference(quant_inst,[status(thm)],[])).
% 16.10/11.30 tff(24584,plain,
% 16.10/11.30 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB178, constB179)) | (v101(constB179) <=> (~((~v1(constB179)) | (~v102(constB179)))))),
% 16.10/11.30 inference(modus_ponens,[status(thm)],[24583, 24582])).
% 16.10/11.30 tff(24585,plain,
% 16.10/11.30 (v101(constB179) <=> (~((~v1(constB179)) | (~v102(constB179))))),
% 16.10/11.31 inference(unit_resolution,[status(thm)],[24584, 24574, 450])).
% 16.10/11.31 tff(24586,plain,
% 16.10/11.31 (((~v1(constB179)) | (~v102(constB179))) | v1(constB179)),
% 16.10/11.31 inference(tautology,[status(thm)],[])).
% 16.10/11.31 tff(24587,plain,
% 16.10/11.31 ((~v1(constB179)) | (~v102(constB179))),
% 16.10/11.31 inference(unit_resolution,[status(thm)],[24586, 24533])).
% 16.10/11.31 tff(24588,plain,
% 16.10/11.31 ((~(v101(constB179) <=> (~((~v1(constB179)) | (~v102(constB179)))))) | (~v101(constB179)) | (~((~v1(constB179)) | (~v102(constB179))))),
% 16.10/11.31 inference(tautology,[status(thm)],[])).
% 16.10/11.31 tff(24589,plain,
% 16.10/11.31 ((~(v101(constB179) <=> (~((~v1(constB179)) | (~v102(constB179)))))) | (~v101(constB179))),
% 16.10/11.31 inference(unit_resolution,[status(thm)],[24588, 24587])).
% 16.10/11.31 tff(24590,plain,
% 16.10/11.31 (~v101(constB179)),
% 16.10/11.31 inference(unit_resolution,[status(thm)],[24589, 24585])).
% 16.10/11.31 tff(24591,plain,
% 16.10/11.31 (((~v101(constB179)) | (~v110(constB179))) | v101(constB179)),
% 16.10/11.31 inference(tautology,[status(thm)],[])).
% 16.10/11.31 tff(24592,plain,
% 16.10/11.31 ((~v101(constB179)) | (~v110(constB179))),
% 16.10/11.31 inference(unit_resolution,[status(thm)],[24591, 24590])).
% 16.10/11.31 tff(24593,plain,
% 16.10/11.31 ((~(v100(constB179) <=> (~((~v101(constB179)) | (~v110(constB179)))))) | (~v100(constB179)) | (~((~v101(constB179)) | (~v110(constB179))))),
% 16.10/11.31 inference(tautology,[status(thm)],[])).
% 16.10/11.31 tff(24594,plain,
% 16.10/11.31 (~v100(constB179)),
% 16.10/11.31 inference(unit_resolution,[status(thm)],[24593, 24592, 24578])).
% 16.10/11.31 tff(24595,plain,
% 16.10/11.31 (((~![VarCurr: $i, VarNext: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v90(VarCurr, B))))) | (v100(constB179) | (~nextState(constB178, constB179)) | ![B: $i] : ((~less_3(B)) | (v90(constB179, B) <=> v90(constB178, B))))) <=> ((~![VarCurr: $i, VarNext: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v90(VarCurr, B))))) | v100(constB179) | (~nextState(constB178, constB179)) | ![B: $i] : ((~less_3(B)) | (v90(constB179, B) <=> v90(constB178, B))))),
% 16.10/11.31 inference(rewrite,[status(thm)],[])).
% 16.10/11.31 tff(24596,plain,
% 16.10/11.31 ((~![VarCurr: $i, VarNext: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v90(VarCurr, B))))) | (v100(constB179) | (~nextState(constB178, constB179)) | ![B: $i] : ((~less_3(B)) | (v90(constB179, B) <=> v90(constB178, B))))),
% 16.10/11.31 inference(quant_inst,[status(thm)],[])).
% 16.10/11.31 tff(24597,plain,
% 16.10/11.31 ((~![VarCurr: $i, VarNext: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v90(VarCurr, B))))) | v100(constB179) | (~nextState(constB178, constB179)) | ![B: $i] : ((~less_3(B)) | (v90(constB179, B) <=> v90(constB178, B)))),
% 16.10/11.31 inference(modus_ponens,[status(thm)],[24596, 24595])).
% 16.10/11.31 tff(24598,plain,
% 16.10/11.31 (v100(constB179) | ![B: $i] : ((~less_3(B)) | (v90(constB179, B) <=> v90(constB178, B)))),
% 16.10/11.31 inference(unit_resolution,[status(thm)],[24597, 24574, 479])).
% 16.10/11.31 tff(24599,plain,
% 16.10/11.31 (![B: $i] : ((~less_3(B)) | (v90(constB179, B) <=> v90(constB178, B)))),
% 16.10/11.31 inference(unit_resolution,[status(thm)],[24598, 24594])).
% 16.10/11.31 tff(24600,plain,
% 16.10/11.31 (((~![B: $i] : ((~less_3(B)) | (v90(constB179, B) <=> v90(constB178, B)))) | ((~less_3(bitIndex2)) | (v90(constB179, bitIndex2) <=> v90(constB178, bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v90(constB179, B) <=> v90(constB178, B)))) | (~less_3(bitIndex2)) | (v90(constB179, bitIndex2) <=> v90(constB178, bitIndex2)))),
% 16.10/11.31 inference(rewrite,[status(thm)],[])).
% 16.10/11.31 tff(24601,plain,
% 16.10/11.31 ((~![B: $i] : ((~less_3(B)) | (v90(constB179, B) <=> v90(constB178, B)))) | ((~less_3(bitIndex2)) | (v90(constB179, bitIndex2) <=> v90(constB178, bitIndex2)))),
% 16.10/11.31 inference(quant_inst,[status(thm)],[])).
% 16.10/11.31 tff(24602,plain,
% 16.10/11.31 ((~![B: $i] : ((~less_3(B)) | (v90(constB179, B) <=> v90(constB178, B)))) | (~less_3(bitIndex2)) | (v90(constB179, bitIndex2) <=> v90(constB178, bitIndex2))),
% 16.10/11.31 inference(modus_ponens,[status(thm)],[24601, 24600])).
% 16.10/11.31 tff(24603,plain,
% 16.10/11.31 (v90(constB179, bitIndex2) <=> v90(constB178, bitIndex2)),
% 16.10/11.31 inference(unit_resolution,[status(thm)],[24602, 413, 24599])).
% 16.10/11.31 tff(24604,plain,
% 16.10/11.31 (nextState(constB177, constB178) <=> nextState(constB177, constB178)),
% 16.10/11.31 inference(rewrite,[status(thm)],[])).
% 16.10/11.31 tff(24605,axiom,(nextState(constB177, constB178)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_177')).
% 16.10/11.31 tff(24606,plain,
% 16.10/11.31 (nextState(constB177, constB178)),
% 16.10/11.31 inference(modus_ponens,[status(thm)],[24605, 24604])).
% 16.10/11.31 tff(24607,plain,
% 16.10/11.31 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB177, constB178)) | (v100(constB178) <=> (~((~v101(constB178)) | (~v110(constB178))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB177, constB178)) | (v100(constB178) <=> (~((~v101(constB178)) | (~v110(constB178))))))),
% 16.10/11.31 inference(rewrite,[status(thm)],[])).
% 16.10/11.31 tff(24608,plain,
% 16.10/11.31 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB177, constB178)) | (v100(constB178) <=> (~((~v101(constB178)) | (~v110(constB178))))))),
% 16.10/11.31 inference(quant_inst,[status(thm)],[])).
% 16.10/11.31 tff(24609,plain,
% 16.10/11.31 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB177, constB178)) | (v100(constB178) <=> (~((~v101(constB178)) | (~v110(constB178)))))),
% 16.10/11.31 inference(modus_ponens,[status(thm)],[24608, 24607])).
% 16.10/11.31 tff(24610,plain,
% 16.10/11.31 (v100(constB178) <=> (~((~v101(constB178)) | (~v110(constB178))))),
% 16.10/11.31 inference(unit_resolution,[status(thm)],[24609, 24606, 430])).
% 16.10/11.31 tff(24611,plain,
% 16.10/11.31 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB177, constB178)) | (v101(constB178) <=> (~((~v1(constB178)) | (~v102(constB178))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB177, constB178)) | (v101(constB178) <=> (~((~v1(constB178)) | (~v102(constB178))))))),
% 16.10/11.31 inference(rewrite,[status(thm)],[])).
% 16.10/11.31 tff(24612,plain,
% 16.10/11.31 (((~nextState(constB177, constB178)) | (v101(constB178) <=> (~((~v102(constB178)) | (~v1(constB178)))))) <=> ((~nextState(constB177, constB178)) | (v101(constB178) <=> (~((~v1(constB178)) | (~v102(constB178))))))),
% 16.10/11.31 inference(rewrite,[status(thm)],[])).
% 16.10/11.31 tff(24613,plain,
% 16.10/11.31 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB177, constB178)) | (v101(constB178) <=> (~((~v102(constB178)) | (~v1(constB178))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB177, constB178)) | (v101(constB178) <=> (~((~v1(constB178)) | (~v102(constB178)))))))),
% 16.10/11.31 inference(monotonicity,[status(thm)],[24612])).
% 16.10/11.31 tff(24614,plain,
% 16.10/11.31 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB177, constB178)) | (v101(constB178) <=> (~((~v102(constB178)) | (~v1(constB178))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB177, constB178)) | (v101(constB178) <=> (~((~v1(constB178)) | (~v102(constB178))))))),
% 16.10/11.31 inference(transitivity,[status(thm)],[24613, 24611])).
% 16.10/11.31 tff(24615,plain,
% 16.10/11.31 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB177, constB178)) | (v101(constB178) <=> (~((~v102(constB178)) | (~v1(constB178))))))),
% 16.10/11.31 inference(quant_inst,[status(thm)],[])).
% 16.10/11.31 tff(24616,plain,
% 16.10/11.31 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB177, constB178)) | (v101(constB178) <=> (~((~v1(constB178)) | (~v102(constB178)))))),
% 16.10/11.31 inference(modus_ponens,[status(thm)],[24615, 24614])).
% 16.10/11.31 tff(24617,plain,
% 16.10/11.31 (v101(constB178) <=> (~((~v1(constB178)) | (~v102(constB178))))),
% 16.10/11.31 inference(unit_resolution,[status(thm)],[24616, 24606, 450])).
% 16.10/11.31 tff(24618,plain,
% 16.10/11.31 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | ((~nextState(constB177, constB178)) | ((~v102(constB178)) <=> v104(constB178)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | (~nextState(constB177, constB178)) | ((~v102(constB178)) <=> v104(constB178)))),
% 16.10/11.31 inference(rewrite,[status(thm)],[])).
% 16.10/11.31 tff(24619,plain,
% 16.10/11.31 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | ((~nextState(constB177, constB178)) | ((~v102(constB178)) <=> v104(constB178)))),
% 16.10/11.31 inference(quant_inst,[status(thm)],[])).
% 16.10/11.31 tff(24620,plain,
% 16.10/11.31 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | (~nextState(constB177, constB178)) | ((~v102(constB178)) <=> v104(constB178))),
% 16.10/11.31 inference(modus_ponens,[status(thm)],[24619, 24618])).
% 16.10/11.31 tff(24621,plain,
% 16.10/11.31 ((~v102(constB178)) <=> v104(constB178)),
% 16.10/11.31 inference(unit_resolution,[status(thm)],[24620, 24606, 512])).
% 16.10/11.31 tff(24622,plain,
% 16.10/11.31 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB177, constB178)) | (v104(constB178) <=> v1(constB177)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | (~nextState(constB177, constB178)) | (v104(constB178) <=> v1(constB177)))),
% 16.10/11.31 inference(rewrite,[status(thm)],[])).
% 16.10/11.31 tff(24623,plain,
% 16.10/11.31 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB177, constB178)) | (v104(constB178) <=> v1(constB177)))),
% 16.10/11.31 inference(quant_inst,[status(thm)],[])).
% 16.10/11.31 tff(24624,plain,
% 16.10/11.31 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | (~nextState(constB177, constB178)) | (v104(constB178) <=> v1(constB177))),
% 16.10/11.31 inference(modus_ponens,[status(thm)],[24623, 24622])).
% 16.10/11.31 tff(24625,plain,
% 16.10/11.31 (v104(constB178) <=> v1(constB177)),
% 16.10/11.31 inference(unit_resolution,[status(thm)],[24624, 24606, 526])).
% 16.10/11.31 tff(24626,plain,
% 16.10/11.31 ((~v1(constB177)) <=> (~v1(constB177))),
% 16.10/11.31 inference(rewrite,[status(thm)],[])).
% 16.10/11.31 tff(24627,axiom,(~v1(constB177)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_177')).
% 16.10/11.31 tff(24628,plain,
% 16.10/11.31 (~v1(constB177)),
% 16.10/11.31 inference(modus_ponens,[status(thm)],[24627, 24626])).
% 16.10/11.31 tff(24629,plain,
% 16.10/11.31 ((~(v104(constB178) <=> v1(constB177))) | (~v104(constB178)) | v1(constB177)),
% 16.10/11.31 inference(tautology,[status(thm)],[])).
% 16.10/11.31 tff(24630,plain,
% 16.10/11.31 ((~(v104(constB178) <=> v1(constB177))) | (~v104(constB178))),
% 16.10/11.31 inference(unit_resolution,[status(thm)],[24629, 24628])).
% 16.10/11.31 tff(24631,plain,
% 16.10/11.31 (~v104(constB178)),
% 16.10/11.31 inference(unit_resolution,[status(thm)],[24630, 24625])).
% 16.10/11.31 tff(24632,plain,
% 16.10/11.31 ((~((~v102(constB178)) <=> v104(constB178))) | v102(constB178) | v104(constB178)),
% 16.10/11.31 inference(tautology,[status(thm)],[])).
% 16.10/11.31 tff(24633,plain,
% 16.10/11.31 (v102(constB178)),
% 16.10/11.31 inference(unit_resolution,[status(thm)],[24632, 24631, 24621])).
% 16.10/11.31 tff(24634,plain,
% 16.10/11.31 (v1(constB178) <=> v1(constB178)),
% 16.10/11.31 inference(rewrite,[status(thm)],[])).
% 16.10/11.31 tff(24635,axiom,(v1(constB178)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_178')).
% 16.10/11.31 tff(24636,plain,
% 16.10/11.31 (v1(constB178)),
% 16.10/11.31 inference(modus_ponens,[status(thm)],[24635, 24634])).
% 16.10/11.31 tff(24637,plain,
% 16.10/11.31 ((~((~v1(constB178)) | (~v102(constB178)))) | (~v1(constB178)) | (~v102(constB178))),
% 16.10/11.31 inference(tautology,[status(thm)],[])).
% 16.10/11.31 tff(24638,plain,
% 16.10/11.31 ((~((~v1(constB178)) | (~v102(constB178)))) | (~v102(constB178))),
% 16.10/11.31 inference(unit_resolution,[status(thm)],[24637, 24636])).
% 16.10/11.31 tff(24639,plain,
% 16.10/11.31 (~((~v1(constB178)) | (~v102(constB178)))),
% 16.10/11.31 inference(unit_resolution,[status(thm)],[24638, 24633])).
% 16.10/11.31 tff(24640,plain,
% 16.10/11.31 ((~(v101(constB178) <=> (~((~v1(constB178)) | (~v102(constB178)))))) | v101(constB178) | ((~v1(constB178)) | (~v102(constB178)))),
% 16.10/11.31 inference(tautology,[status(thm)],[])).
% 16.10/11.31 tff(24641,plain,
% 16.10/11.31 (v101(constB178)),
% 16.10/11.31 inference(unit_resolution,[status(thm)],[24640, 24639, 24617])).
% 16.10/11.31 tff(24642,plain,
% 16.10/11.31 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | ((~nextState(constB177, constB178)) | (v110(constB178) <=> v108(constB177)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | (~nextState(constB177, constB178)) | (v110(constB178) <=> v108(constB177)))),
% 16.10/11.31 inference(rewrite,[status(thm)],[])).
% 16.10/11.31 tff(24643,plain,
% 16.10/11.31 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | ((~nextState(constB177, constB178)) | (v110(constB178) <=> v108(constB177)))),
% 16.10/11.31 inference(quant_inst,[status(thm)],[])).
% 16.10/11.31 tff(24644,plain,
% 16.10/11.31 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | (~nextState(constB177, constB178)) | (v110(constB178) <=> v108(constB177))),
% 16.10/11.31 inference(modus_ponens,[status(thm)],[24643, 24642])).
% 16.10/11.31 tff(24645,plain,
% 16.10/11.31 (v110(constB178) <=> v108(constB177)),
% 16.10/11.31 inference(unit_resolution,[status(thm)],[24644, 24606, 556])).
% 16.10/11.31 tff(24646,plain,
% 16.10/11.31 ((~![VarCurr: $i] : (v108(VarCurr) <=> (v111(VarCurr) | v112(VarCurr)))) | (v108(constB177) <=> (v111(constB177) | v112(constB177)))),
% 16.10/11.31 inference(quant_inst,[status(thm)],[])).
% 16.10/11.31 tff(24647,plain,
% 16.10/11.31 (v108(constB177) <=> (v111(constB177) | v112(constB177))),
% 16.10/11.31 inference(unit_resolution,[status(thm)],[24646, 567])).
% 16.10/11.31 tff(24648,plain,
% 16.10/11.31 ((~![VarCurr: $i] : (v112(VarCurr) <=> (~((~v113(VarCurr)) | (~v126(VarCurr)))))) | (v112(constB177) <=> (~((~v113(constB177)) | (~v126(constB177)))))),
% 16.10/11.31 inference(quant_inst,[status(thm)],[])).
% 16.10/11.31 tff(24649,plain,
% 16.10/11.31 (v112(constB177) <=> (~((~v113(constB177)) | (~v126(constB177))))),
% 16.10/11.31 inference(unit_resolution,[status(thm)],[24648, 579])).
% 16.10/11.31 tff(24650,plain,
% 16.10/11.31 ((~![VarCurr: $i] : (v113(VarCurr) <=> (v114(VarCurr) | v125(VarCurr)))) | (v113(constB177) <=> (v114(constB177) | v125(constB177)))),
% 16.10/11.31 inference(quant_inst,[status(thm)],[])).
% 16.10/11.31 tff(24651,plain,
% 16.10/11.31 (v113(constB177) <=> (v114(constB177) | v125(constB177))),
% 16.10/11.31 inference(unit_resolution,[status(thm)],[24650, 588])).
% 16.10/11.31 tff(24652,plain,
% 16.10/11.31 ((~![VarCurr: $i] : (v114(VarCurr) <=> (v115(VarCurr) | v124(VarCurr)))) | (v114(constB177) <=> (v115(constB177) | v124(constB177)))),
% 16.10/11.31 inference(quant_inst,[status(thm)],[])).
% 16.10/11.31 tff(24653,plain,
% 16.10/11.31 (v114(constB177) <=> (v115(constB177) | v124(constB177))),
% 16.10/11.31 inference(unit_resolution,[status(thm)],[24652, 597])).
% 16.10/11.31 tff(24654,plain,
% 16.10/11.31 ((~![VarCurr: $i] : (v115(VarCurr) <=> (v116(VarCurr) | v123(VarCurr)))) | (v115(constB177) <=> (v116(constB177) | v123(constB177)))),
% 16.10/11.31 inference(quant_inst,[status(thm)],[])).
% 16.10/11.31 tff(24655,plain,
% 16.10/11.31 (v115(constB177) <=> (v116(constB177) | v123(constB177))),
% 16.10/11.31 inference(unit_resolution,[status(thm)],[24654, 606])).
% 16.10/11.31 tff(24656,plain,
% 16.10/11.31 ((~![VarCurr: $i] : (v116(VarCurr) <=> (v117(VarCurr) | v122(VarCurr)))) | (v116(constB177) <=> (v117(constB177) | v122(constB177)))),
% 16.10/11.31 inference(quant_inst,[status(thm)],[])).
% 16.10/11.31 tff(24657,plain,
% 16.10/11.31 (v116(constB177) <=> (v117(constB177) | v122(constB177))),
% 16.10/11.31 inference(unit_resolution,[status(thm)],[24656, 719])).
% 16.10/11.31 tff(24658,plain,
% 16.10/11.31 ((~![VarCurr: $i] : (v117(VarCurr) <=> (v118(VarCurr) | v121(VarCurr)))) | (v117(constB177) <=> (v118(constB177) | v121(constB177)))),
% 16.10/11.31 inference(quant_inst,[status(thm)],[])).
% 16.10/11.31 tff(24659,plain,
% 16.10/11.31 (v117(constB177) <=> (v118(constB177) | v121(constB177))),
% 16.10/11.31 inference(unit_resolution,[status(thm)],[24658, 834])).
% 16.10/11.31 tff(24660,plain,
% 16.10/11.31 ((~![VarCurr: $i] : (v118(VarCurr) <=> (v119(VarCurr) | v120(VarCurr)))) | (v118(constB177) <=> (v119(constB177) | v120(constB177)))),
% 16.10/11.31 inference(quant_inst,[status(thm)],[])).
% 16.10/11.31 tff(24661,plain,
% 16.10/11.31 (v118(constB177) <=> (v119(constB177) | v120(constB177))),
% 16.10/11.32 inference(unit_resolution,[status(thm)],[24660, 951])).
% 16.10/11.32 tff(24662,plain,
% 16.10/11.32 (((~![VarCurr: $i] : (v120(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)))))) | (v120(constB177) <=> (~(v90(constB177, bitIndex2) | v90(constB177, bitIndex1) | (~v90(constB177, bitIndex0)))))) <=> ((~![VarCurr: $i] : (v120(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)))))) | (v120(constB177) <=> (~(v90(constB177, bitIndex2) | v90(constB177, bitIndex1) | (~v90(constB177, bitIndex0))))))),
% 16.10/11.32 inference(rewrite,[status(thm)],[])).
% 16.10/11.32 tff(24663,plain,
% 16.10/11.32 ((v120(constB177) <=> (~(v90(constB177, bitIndex1) | v90(constB177, bitIndex2) | (~v90(constB177, bitIndex0))))) <=> (v120(constB177) <=> (~(v90(constB177, bitIndex2) | v90(constB177, bitIndex1) | (~v90(constB177, bitIndex0)))))),
% 16.10/11.32 inference(rewrite,[status(thm)],[])).
% 16.10/11.32 tff(24664,plain,
% 16.10/11.32 (((~![VarCurr: $i] : (v120(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)))))) | (v120(constB177) <=> (~(v90(constB177, bitIndex1) | v90(constB177, bitIndex2) | (~v90(constB177, bitIndex0)))))) <=> ((~![VarCurr: $i] : (v120(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)))))) | (v120(constB177) <=> (~(v90(constB177, bitIndex2) | v90(constB177, bitIndex1) | (~v90(constB177, bitIndex0))))))),
% 16.10/11.32 inference(monotonicity,[status(thm)],[24663])).
% 16.10/11.32 tff(24665,plain,
% 16.10/11.32 (((~![VarCurr: $i] : (v120(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)))))) | (v120(constB177) <=> (~(v90(constB177, bitIndex1) | v90(constB177, bitIndex2) | (~v90(constB177, bitIndex0)))))) <=> ((~![VarCurr: $i] : (v120(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)))))) | (v120(constB177) <=> (~(v90(constB177, bitIndex2) | v90(constB177, bitIndex1) | (~v90(constB177, bitIndex0))))))),
% 16.10/11.32 inference(transitivity,[status(thm)],[24664, 24662])).
% 16.10/11.32 tff(24666,plain,
% 16.10/11.32 ((~![VarCurr: $i] : (v120(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)))))) | (v120(constB177) <=> (~(v90(constB177, bitIndex1) | v90(constB177, bitIndex2) | (~v90(constB177, bitIndex0)))))),
% 16.10/11.32 inference(quant_inst,[status(thm)],[])).
% 16.10/11.32 tff(24667,plain,
% 16.10/11.32 ((~![VarCurr: $i] : (v120(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)))))) | (v120(constB177) <=> (~(v90(constB177, bitIndex2) | v90(constB177, bitIndex1) | (~v90(constB177, bitIndex0)))))),
% 16.10/11.32 inference(modus_ponens,[status(thm)],[24666, 24665])).
% 16.10/11.32 tff(24668,plain,
% 16.10/11.32 (v120(constB177) <=> (~(v90(constB177, bitIndex2) | v90(constB177, bitIndex1) | (~v90(constB177, bitIndex0))))),
% 16.10/11.32 inference(unit_resolution,[status(thm)],[24667, 966])).
% 16.10/11.32 tff(24669,plain,
% 16.10/11.32 (nextState(constB176, constB177) <=> nextState(constB176, constB177)),
% 16.10/11.32 inference(rewrite,[status(thm)],[])).
% 16.10/11.32 tff(24670,axiom,(nextState(constB176, constB177)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_176')).
% 16.10/11.32 tff(24671,plain,
% 16.10/11.32 (nextState(constB176, constB177)),
% 16.10/11.32 inference(modus_ponens,[status(thm)],[24670, 24669])).
% 16.10/11.32 tff(24672,plain,
% 16.10/11.32 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB176, constB177)) | (v100(constB177) <=> (~((~v101(constB177)) | (~v110(constB177))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB176, constB177)) | (v100(constB177) <=> (~((~v101(constB177)) | (~v110(constB177))))))),
% 16.10/11.32 inference(rewrite,[status(thm)],[])).
% 16.10/11.32 tff(24673,plain,
% 16.10/11.32 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB176, constB177)) | (v100(constB177) <=> (~((~v101(constB177)) | (~v110(constB177))))))),
% 16.10/11.32 inference(quant_inst,[status(thm)],[])).
% 16.10/11.32 tff(24674,plain,
% 16.10/11.32 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB176, constB177)) | (v100(constB177) <=> (~((~v101(constB177)) | (~v110(constB177)))))),
% 16.10/11.32 inference(modus_ponens,[status(thm)],[24673, 24672])).
% 16.10/11.32 tff(24675,plain,
% 16.10/11.32 (v100(constB177) <=> (~((~v101(constB177)) | (~v110(constB177))))),
% 16.10/11.32 inference(unit_resolution,[status(thm)],[24674, 24671, 430])).
% 16.10/11.32 tff(24676,plain,
% 16.10/11.32 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB176, constB177)) | (v101(constB177) <=> (~((~v1(constB177)) | (~v102(constB177))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB176, constB177)) | (v101(constB177) <=> (~((~v1(constB177)) | (~v102(constB177))))))),
% 16.10/11.32 inference(rewrite,[status(thm)],[])).
% 16.10/11.32 tff(24677,plain,
% 16.10/11.32 (((~nextState(constB176, constB177)) | (v101(constB177) <=> (~((~v102(constB177)) | (~v1(constB177)))))) <=> ((~nextState(constB176, constB177)) | (v101(constB177) <=> (~((~v1(constB177)) | (~v102(constB177))))))),
% 16.10/11.32 inference(rewrite,[status(thm)],[])).
% 16.10/11.32 tff(24678,plain,
% 16.10/11.32 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB176, constB177)) | (v101(constB177) <=> (~((~v102(constB177)) | (~v1(constB177))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB176, constB177)) | (v101(constB177) <=> (~((~v1(constB177)) | (~v102(constB177)))))))),
% 16.10/11.32 inference(monotonicity,[status(thm)],[24677])).
% 16.10/11.32 tff(24679,plain,
% 16.10/11.32 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB176, constB177)) | (v101(constB177) <=> (~((~v102(constB177)) | (~v1(constB177))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB176, constB177)) | (v101(constB177) <=> (~((~v1(constB177)) | (~v102(constB177))))))),
% 16.10/11.32 inference(transitivity,[status(thm)],[24678, 24676])).
% 16.10/11.32 tff(24680,plain,
% 16.10/11.32 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB176, constB177)) | (v101(constB177) <=> (~((~v102(constB177)) | (~v1(constB177))))))),
% 16.10/11.32 inference(quant_inst,[status(thm)],[])).
% 16.10/11.32 tff(24681,plain,
% 16.10/11.32 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB176, constB177)) | (v101(constB177) <=> (~((~v1(constB177)) | (~v102(constB177)))))),
% 16.10/11.32 inference(modus_ponens,[status(thm)],[24680, 24679])).
% 16.10/11.32 tff(24682,plain,
% 16.10/11.32 (v101(constB177) <=> (~((~v1(constB177)) | (~v102(constB177))))),
% 16.10/11.32 inference(unit_resolution,[status(thm)],[24681, 24671, 450])).
% 16.10/11.32 tff(24683,plain,
% 16.10/11.32 (((~v1(constB177)) | (~v102(constB177))) | v1(constB177)),
% 16.10/11.32 inference(tautology,[status(thm)],[])).
% 16.10/11.32 tff(24684,plain,
% 16.10/11.32 ((~v1(constB177)) | (~v102(constB177))),
% 16.10/11.32 inference(unit_resolution,[status(thm)],[24683, 24628])).
% 16.10/11.32 tff(24685,plain,
% 16.10/11.32 ((~(v101(constB177) <=> (~((~v1(constB177)) | (~v102(constB177)))))) | (~v101(constB177)) | (~((~v1(constB177)) | (~v102(constB177))))),
% 16.10/11.32 inference(tautology,[status(thm)],[])).
% 16.10/11.32 tff(24686,plain,
% 16.10/11.32 ((~(v101(constB177) <=> (~((~v1(constB177)) | (~v102(constB177)))))) | (~v101(constB177))),
% 16.10/11.32 inference(unit_resolution,[status(thm)],[24685, 24684])).
% 16.10/11.32 tff(24687,plain,
% 16.10/11.32 (~v101(constB177)),
% 16.10/11.32 inference(unit_resolution,[status(thm)],[24686, 24682])).
% 16.10/11.32 tff(24688,plain,
% 16.10/11.32 (((~v101(constB177)) | (~v110(constB177))) | v101(constB177)),
% 16.10/11.32 inference(tautology,[status(thm)],[])).
% 16.10/11.32 tff(24689,plain,
% 16.10/11.32 ((~v101(constB177)) | (~v110(constB177))),
% 16.10/11.32 inference(unit_resolution,[status(thm)],[24688, 24687])).
% 16.10/11.32 tff(24690,plain,
% 16.10/11.32 ((~(v100(constB177) <=> (~((~v101(constB177)) | (~v110(constB177)))))) | (~v100(constB177)) | (~((~v101(constB177)) | (~v110(constB177))))),
% 16.10/11.32 inference(tautology,[status(thm)],[])).
% 16.10/11.32 tff(24691,plain,
% 16.10/11.32 (~v100(constB177)),
% 16.10/11.32 inference(unit_resolution,[status(thm)],[24690, 24689, 24675])).
% 16.10/11.32 tff(24692,plain,
% 16.10/11.32 (((~![VarCurr: $i, VarNext: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v90(VarCurr, B))))) | (v100(constB177) | (~nextState(constB176, constB177)) | ![B: $i] : ((~less_3(B)) | (v90(constB177, B) <=> v90(constB176, B))))) <=> ((~![VarCurr: $i, VarNext: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v90(VarCurr, B))))) | v100(constB177) | (~nextState(constB176, constB177)) | ![B: $i] : ((~less_3(B)) | (v90(constB177, B) <=> v90(constB176, B))))),
% 16.10/11.32 inference(rewrite,[status(thm)],[])).
% 16.10/11.32 tff(24693,plain,
% 16.10/11.32 ((~![VarCurr: $i, VarNext: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v90(VarCurr, B))))) | (v100(constB177) | (~nextState(constB176, constB177)) | ![B: $i] : ((~less_3(B)) | (v90(constB177, B) <=> v90(constB176, B))))),
% 16.10/11.32 inference(quant_inst,[status(thm)],[])).
% 16.10/11.32 tff(24694,plain,
% 16.10/11.32 ((~![VarCurr: $i, VarNext: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v90(VarCurr, B))))) | v100(constB177) | (~nextState(constB176, constB177)) | ![B: $i] : ((~less_3(B)) | (v90(constB177, B) <=> v90(constB176, B)))),
% 16.10/11.32 inference(modus_ponens,[status(thm)],[24693, 24692])).
% 16.10/11.32 tff(24695,plain,
% 16.10/11.32 (v100(constB177) | ![B: $i] : ((~less_3(B)) | (v90(constB177, B) <=> v90(constB176, B)))),
% 16.10/11.32 inference(unit_resolution,[status(thm)],[24694, 24671, 479])).
% 16.10/11.32 tff(24696,plain,
% 16.10/11.32 (![B: $i] : ((~less_3(B)) | (v90(constB177, B) <=> v90(constB176, B)))),
% 16.10/11.32 inference(unit_resolution,[status(thm)],[24695, 24691])).
% 16.10/11.32 tff(24697,plain,
% 16.10/11.32 (((~![B: $i] : ((~less_3(B)) | (v90(constB177, B) <=> v90(constB176, B)))) | ((~less_3(bitIndex2)) | (v90(constB177, bitIndex2) <=> v90(constB176, bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v90(constB177, B) <=> v90(constB176, B)))) | (~less_3(bitIndex2)) | (v90(constB177, bitIndex2) <=> v90(constB176, bitIndex2)))),
% 16.10/11.32 inference(rewrite,[status(thm)],[])).
% 16.10/11.32 tff(24698,plain,
% 16.10/11.32 ((~![B: $i] : ((~less_3(B)) | (v90(constB177, B) <=> v90(constB176, B)))) | ((~less_3(bitIndex2)) | (v90(constB177, bitIndex2) <=> v90(constB176, bitIndex2)))),
% 16.10/11.32 inference(quant_inst,[status(thm)],[])).
% 16.10/11.32 tff(24699,plain,
% 16.10/11.32 ((~![B: $i] : ((~less_3(B)) | (v90(constB177, B) <=> v90(constB176, B)))) | (~less_3(bitIndex2)) | (v90(constB177, bitIndex2) <=> v90(constB176, bitIndex2))),
% 16.10/11.32 inference(modus_ponens,[status(thm)],[24698, 24697])).
% 16.10/11.32 tff(24700,plain,
% 16.10/11.32 (v90(constB177, bitIndex2) <=> v90(constB176, bitIndex2)),
% 16.10/11.32 inference(unit_resolution,[status(thm)],[24699, 413, 24696])).
% 16.10/11.32 tff(24701,plain,
% 16.10/11.32 (nextState(constB175, constB176) <=> nextState(constB175, constB176)),
% 16.10/11.32 inference(rewrite,[status(thm)],[])).
% 16.10/11.32 tff(24702,axiom,(nextState(constB175, constB176)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_175')).
% 16.10/11.32 tff(24703,plain,
% 16.10/11.32 (nextState(constB175, constB176)),
% 16.10/11.32 inference(modus_ponens,[status(thm)],[24702, 24701])).
% 16.10/11.32 tff(24704,plain,
% 16.10/11.32 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB175, constB176)) | (v100(constB176) <=> (~((~v101(constB176)) | (~v110(constB176))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB175, constB176)) | (v100(constB176) <=> (~((~v101(constB176)) | (~v110(constB176))))))),
% 16.10/11.32 inference(rewrite,[status(thm)],[])).
% 16.10/11.32 tff(24705,plain,
% 16.10/11.32 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB175, constB176)) | (v100(constB176) <=> (~((~v101(constB176)) | (~v110(constB176))))))),
% 16.10/11.32 inference(quant_inst,[status(thm)],[])).
% 16.10/11.32 tff(24706,plain,
% 16.10/11.32 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB175, constB176)) | (v100(constB176) <=> (~((~v101(constB176)) | (~v110(constB176)))))),
% 16.10/11.32 inference(modus_ponens,[status(thm)],[24705, 24704])).
% 16.10/11.32 tff(24707,plain,
% 16.10/11.32 (v100(constB176) <=> (~((~v101(constB176)) | (~v110(constB176))))),
% 16.10/11.32 inference(unit_resolution,[status(thm)],[24706, 24703, 430])).
% 16.10/11.32 tff(24708,plain,
% 16.10/11.32 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB175, constB176)) | (v101(constB176) <=> (~((~v1(constB176)) | (~v102(constB176))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB175, constB176)) | (v101(constB176) <=> (~((~v1(constB176)) | (~v102(constB176))))))),
% 16.10/11.32 inference(rewrite,[status(thm)],[])).
% 16.10/11.32 tff(24709,plain,
% 16.10/11.32 (((~nextState(constB175, constB176)) | (v101(constB176) <=> (~((~v102(constB176)) | (~v1(constB176)))))) <=> ((~nextState(constB175, constB176)) | (v101(constB176) <=> (~((~v1(constB176)) | (~v102(constB176))))))),
% 16.10/11.32 inference(rewrite,[status(thm)],[])).
% 16.10/11.32 tff(24710,plain,
% 16.10/11.32 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB175, constB176)) | (v101(constB176) <=> (~((~v102(constB176)) | (~v1(constB176))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB175, constB176)) | (v101(constB176) <=> (~((~v1(constB176)) | (~v102(constB176)))))))),
% 16.10/11.32 inference(monotonicity,[status(thm)],[24709])).
% 16.10/11.32 tff(24711,plain,
% 16.10/11.32 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB175, constB176)) | (v101(constB176) <=> (~((~v102(constB176)) | (~v1(constB176))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB175, constB176)) | (v101(constB176) <=> (~((~v1(constB176)) | (~v102(constB176))))))),
% 16.10/11.32 inference(transitivity,[status(thm)],[24710, 24708])).
% 16.10/11.32 tff(24712,plain,
% 16.10/11.32 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB175, constB176)) | (v101(constB176) <=> (~((~v102(constB176)) | (~v1(constB176))))))),
% 16.10/11.32 inference(quant_inst,[status(thm)],[])).
% 16.10/11.32 tff(24713,plain,
% 16.10/11.32 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB175, constB176)) | (v101(constB176) <=> (~((~v1(constB176)) | (~v102(constB176)))))),
% 16.10/11.32 inference(modus_ponens,[status(thm)],[24712, 24711])).
% 16.10/11.32 tff(24714,plain,
% 16.10/11.32 (v101(constB176) <=> (~((~v1(constB176)) | (~v102(constB176))))),
% 16.10/11.32 inference(unit_resolution,[status(thm)],[24713, 24703, 450])).
% 16.10/11.32 tff(24715,plain,
% 16.10/11.32 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | ((~nextState(constB175, constB176)) | ((~v102(constB176)) <=> v104(constB176)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | (~nextState(constB175, constB176)) | ((~v102(constB176)) <=> v104(constB176)))),
% 16.10/11.32 inference(rewrite,[status(thm)],[])).
% 16.10/11.32 tff(24716,plain,
% 16.10/11.32 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | ((~nextState(constB175, constB176)) | ((~v102(constB176)) <=> v104(constB176)))),
% 16.10/11.32 inference(quant_inst,[status(thm)],[])).
% 16.10/11.32 tff(24717,plain,
% 16.10/11.32 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | (~nextState(constB175, constB176)) | ((~v102(constB176)) <=> v104(constB176))),
% 16.10/11.33 inference(modus_ponens,[status(thm)],[24716, 24715])).
% 16.10/11.33 tff(24718,plain,
% 16.10/11.33 ((~v102(constB176)) <=> v104(constB176)),
% 16.10/11.33 inference(unit_resolution,[status(thm)],[24717, 24703, 512])).
% 16.10/11.33 tff(24719,plain,
% 16.10/11.33 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB175, constB176)) | (v104(constB176) <=> v1(constB175)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | (~nextState(constB175, constB176)) | (v104(constB176) <=> v1(constB175)))),
% 16.10/11.33 inference(rewrite,[status(thm)],[])).
% 16.10/11.33 tff(24720,plain,
% 16.10/11.33 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB175, constB176)) | (v104(constB176) <=> v1(constB175)))),
% 16.10/11.33 inference(quant_inst,[status(thm)],[])).
% 16.10/11.33 tff(24721,plain,
% 16.10/11.33 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | (~nextState(constB175, constB176)) | (v104(constB176) <=> v1(constB175))),
% 16.10/11.33 inference(modus_ponens,[status(thm)],[24720, 24719])).
% 16.10/11.33 tff(24722,plain,
% 16.10/11.33 (v104(constB176) <=> v1(constB175)),
% 16.10/11.33 inference(unit_resolution,[status(thm)],[24721, 24703, 526])).
% 16.10/11.33 tff(24723,plain,
% 16.10/11.33 ((~v1(constB175)) <=> (~v1(constB175))),
% 16.10/11.33 inference(rewrite,[status(thm)],[])).
% 16.10/11.33 tff(24724,axiom,(~v1(constB175)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_175')).
% 16.10/11.33 tff(24725,plain,
% 16.10/11.33 (~v1(constB175)),
% 16.10/11.33 inference(modus_ponens,[status(thm)],[24724, 24723])).
% 16.10/11.33 tff(24726,plain,
% 16.10/11.33 ((~(v104(constB176) <=> v1(constB175))) | (~v104(constB176)) | v1(constB175)),
% 16.10/11.33 inference(tautology,[status(thm)],[])).
% 16.10/11.33 tff(24727,plain,
% 16.10/11.33 ((~(v104(constB176) <=> v1(constB175))) | (~v104(constB176))),
% 16.10/11.33 inference(unit_resolution,[status(thm)],[24726, 24725])).
% 16.10/11.33 tff(24728,plain,
% 16.10/11.33 (~v104(constB176)),
% 16.10/11.33 inference(unit_resolution,[status(thm)],[24727, 24722])).
% 16.10/11.33 tff(24729,plain,
% 16.10/11.33 ((~((~v102(constB176)) <=> v104(constB176))) | v102(constB176) | v104(constB176)),
% 16.10/11.33 inference(tautology,[status(thm)],[])).
% 16.10/11.33 tff(24730,plain,
% 16.10/11.33 (v102(constB176)),
% 16.10/11.33 inference(unit_resolution,[status(thm)],[24729, 24728, 24718])).
% 16.10/11.33 tff(24731,plain,
% 16.10/11.33 (v1(constB176) <=> v1(constB176)),
% 16.10/11.33 inference(rewrite,[status(thm)],[])).
% 16.10/11.33 tff(24732,axiom,(v1(constB176)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_176')).
% 16.10/11.33 tff(24733,plain,
% 16.10/11.33 (v1(constB176)),
% 16.10/11.33 inference(modus_ponens,[status(thm)],[24732, 24731])).
% 16.10/11.33 tff(24734,plain,
% 16.10/11.33 ((~((~v1(constB176)) | (~v102(constB176)))) | (~v1(constB176)) | (~v102(constB176))),
% 16.10/11.33 inference(tautology,[status(thm)],[])).
% 16.10/11.33 tff(24735,plain,
% 16.10/11.33 ((~((~v1(constB176)) | (~v102(constB176)))) | (~v102(constB176))),
% 16.10/11.33 inference(unit_resolution,[status(thm)],[24734, 24733])).
% 16.10/11.33 tff(24736,plain,
% 16.10/11.33 (~((~v1(constB176)) | (~v102(constB176)))),
% 16.10/11.33 inference(unit_resolution,[status(thm)],[24735, 24730])).
% 16.10/11.33 tff(24737,plain,
% 16.10/11.33 ((~(v101(constB176) <=> (~((~v1(constB176)) | (~v102(constB176)))))) | v101(constB176) | ((~v1(constB176)) | (~v102(constB176)))),
% 16.10/11.33 inference(tautology,[status(thm)],[])).
% 16.10/11.33 tff(24738,plain,
% 16.10/11.33 (v101(constB176)),
% 16.10/11.33 inference(unit_resolution,[status(thm)],[24737, 24736, 24714])).
% 16.10/11.33 tff(24739,plain,
% 16.10/11.33 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | ((~nextState(constB175, constB176)) | (v110(constB176) <=> v108(constB175)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | (~nextState(constB175, constB176)) | (v110(constB176) <=> v108(constB175)))),
% 16.10/11.33 inference(rewrite,[status(thm)],[])).
% 16.10/11.33 tff(24740,plain,
% 16.10/11.33 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | ((~nextState(constB175, constB176)) | (v110(constB176) <=> v108(constB175)))),
% 16.10/11.33 inference(quant_inst,[status(thm)],[])).
% 16.10/11.33 tff(24741,plain,
% 16.10/11.33 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | (~nextState(constB175, constB176)) | (v110(constB176) <=> v108(constB175))),
% 16.10/11.33 inference(modus_ponens,[status(thm)],[24740, 24739])).
% 16.10/11.33 tff(24742,plain,
% 16.10/11.33 (v110(constB176) <=> v108(constB175)),
% 16.10/11.33 inference(unit_resolution,[status(thm)],[24741, 24703, 556])).
% 16.10/11.33 tff(24743,plain,
% 16.10/11.33 ((~![VarCurr: $i] : (v108(VarCurr) <=> (v111(VarCurr) | v112(VarCurr)))) | (v108(constB175) <=> (v111(constB175) | v112(constB175)))),
% 16.10/11.33 inference(quant_inst,[status(thm)],[])).
% 16.10/11.33 tff(24744,plain,
% 16.10/11.33 (v108(constB175) <=> (v111(constB175) | v112(constB175))),
% 16.10/11.33 inference(unit_resolution,[status(thm)],[24743, 567])).
% 16.10/11.33 tff(24745,plain,
% 16.10/11.33 ((~![VarCurr: $i] : (v112(VarCurr) <=> (~((~v113(VarCurr)) | (~v126(VarCurr)))))) | (v112(constB175) <=> (~((~v113(constB175)) | (~v126(constB175)))))),
% 16.10/11.33 inference(quant_inst,[status(thm)],[])).
% 16.10/11.33 tff(24746,plain,
% 16.10/11.33 (v112(constB175) <=> (~((~v113(constB175)) | (~v126(constB175))))),
% 16.10/11.33 inference(unit_resolution,[status(thm)],[24745, 579])).
% 16.10/11.33 tff(24747,plain,
% 16.10/11.33 ((~![VarCurr: $i] : (v113(VarCurr) <=> (v114(VarCurr) | v125(VarCurr)))) | (v113(constB175) <=> (v114(constB175) | v125(constB175)))),
% 16.10/11.33 inference(quant_inst,[status(thm)],[])).
% 16.10/11.33 tff(24748,plain,
% 16.10/11.33 (v113(constB175) <=> (v114(constB175) | v125(constB175))),
% 16.10/11.33 inference(unit_resolution,[status(thm)],[24747, 588])).
% 16.10/11.33 tff(24749,plain,
% 16.10/11.33 (((~![VarCurr: $i] : (v125(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2)))))) | (v125(constB175) <=> (~((~v90(constB175, bitIndex2)) | (~v90(constB175, bitIndex1)) | v90(constB175, bitIndex0))))) <=> ((~![VarCurr: $i] : (v125(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2)))))) | (v125(constB175) <=> (~((~v90(constB175, bitIndex2)) | (~v90(constB175, bitIndex1)) | v90(constB175, bitIndex0)))))),
% 16.10/11.33 inference(rewrite,[status(thm)],[])).
% 16.10/11.33 tff(24750,plain,
% 16.10/11.33 ((v125(constB175) <=> (~(v90(constB175, bitIndex0) | (~v90(constB175, bitIndex1)) | (~v90(constB175, bitIndex2))))) <=> (v125(constB175) <=> (~((~v90(constB175, bitIndex2)) | (~v90(constB175, bitIndex1)) | v90(constB175, bitIndex0))))),
% 16.10/11.33 inference(rewrite,[status(thm)],[])).
% 16.10/11.33 tff(24751,plain,
% 16.10/11.33 (((~![VarCurr: $i] : (v125(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2)))))) | (v125(constB175) <=> (~(v90(constB175, bitIndex0) | (~v90(constB175, bitIndex1)) | (~v90(constB175, bitIndex2)))))) <=> ((~![VarCurr: $i] : (v125(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2)))))) | (v125(constB175) <=> (~((~v90(constB175, bitIndex2)) | (~v90(constB175, bitIndex1)) | v90(constB175, bitIndex0)))))),
% 16.10/11.33 inference(monotonicity,[status(thm)],[24750])).
% 16.10/11.33 tff(24752,plain,
% 16.10/11.33 (((~![VarCurr: $i] : (v125(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2)))))) | (v125(constB175) <=> (~(v90(constB175, bitIndex0) | (~v90(constB175, bitIndex1)) | (~v90(constB175, bitIndex2)))))) <=> ((~![VarCurr: $i] : (v125(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2)))))) | (v125(constB175) <=> (~((~v90(constB175, bitIndex2)) | (~v90(constB175, bitIndex1)) | v90(constB175, bitIndex0)))))),
% 16.10/11.33 inference(transitivity,[status(thm)],[24751, 24749])).
% 16.10/11.33 tff(24753,plain,
% 16.10/11.33 ((~![VarCurr: $i] : (v125(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2)))))) | (v125(constB175) <=> (~(v90(constB175, bitIndex0) | (~v90(constB175, bitIndex1)) | (~v90(constB175, bitIndex2)))))),
% 16.10/11.33 inference(quant_inst,[status(thm)],[])).
% 16.10/11.33 tff(24754,plain,
% 16.10/11.33 ((~![VarCurr: $i] : (v125(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2)))))) | (v125(constB175) <=> (~((~v90(constB175, bitIndex2)) | (~v90(constB175, bitIndex1)) | v90(constB175, bitIndex0))))),
% 16.10/11.33 inference(modus_ponens,[status(thm)],[24753, 24752])).
% 16.10/11.33 tff(24755,plain,
% 16.10/11.33 (v125(constB175) <=> (~((~v90(constB175, bitIndex2)) | (~v90(constB175, bitIndex1)) | v90(constB175, bitIndex0)))),
% 16.10/11.33 inference(unit_resolution,[status(thm)],[24754, 1066])).
% 16.10/11.33 tff(24756,plain,
% 16.10/11.33 (nextState(constB174, constB175) <=> nextState(constB174, constB175)),
% 16.10/11.33 inference(rewrite,[status(thm)],[])).
% 16.10/11.33 tff(24757,axiom,(nextState(constB174, constB175)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_174')).
% 16.10/11.33 tff(24758,plain,
% 16.10/11.33 (nextState(constB174, constB175)),
% 16.10/11.33 inference(modus_ponens,[status(thm)],[24757, 24756])).
% 16.10/11.33 tff(24759,plain,
% 16.10/11.33 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB174, constB175)) | (v100(constB175) <=> (~((~v101(constB175)) | (~v110(constB175))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB174, constB175)) | (v100(constB175) <=> (~((~v101(constB175)) | (~v110(constB175))))))),
% 16.10/11.33 inference(rewrite,[status(thm)],[])).
% 16.10/11.33 tff(24760,plain,
% 16.10/11.33 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB174, constB175)) | (v100(constB175) <=> (~((~v101(constB175)) | (~v110(constB175))))))),
% 16.10/11.33 inference(quant_inst,[status(thm)],[])).
% 16.10/11.33 tff(24761,plain,
% 16.10/11.33 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB174, constB175)) | (v100(constB175) <=> (~((~v101(constB175)) | (~v110(constB175)))))),
% 16.10/11.33 inference(modus_ponens,[status(thm)],[24760, 24759])).
% 16.10/11.33 tff(24762,plain,
% 16.10/11.33 (v100(constB175) <=> (~((~v101(constB175)) | (~v110(constB175))))),
% 16.10/11.33 inference(unit_resolution,[status(thm)],[24761, 24758, 430])).
% 16.10/11.33 tff(24763,plain,
% 16.10/11.33 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB174, constB175)) | (v101(constB175) <=> (~((~v1(constB175)) | (~v102(constB175))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB174, constB175)) | (v101(constB175) <=> (~((~v1(constB175)) | (~v102(constB175))))))),
% 16.10/11.33 inference(rewrite,[status(thm)],[])).
% 16.10/11.33 tff(24764,plain,
% 16.10/11.33 (((~nextState(constB174, constB175)) | (v101(constB175) <=> (~((~v102(constB175)) | (~v1(constB175)))))) <=> ((~nextState(constB174, constB175)) | (v101(constB175) <=> (~((~v1(constB175)) | (~v102(constB175))))))),
% 16.10/11.33 inference(rewrite,[status(thm)],[])).
% 16.10/11.33 tff(24765,plain,
% 16.10/11.33 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB174, constB175)) | (v101(constB175) <=> (~((~v102(constB175)) | (~v1(constB175))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB174, constB175)) | (v101(constB175) <=> (~((~v1(constB175)) | (~v102(constB175)))))))),
% 16.10/11.33 inference(monotonicity,[status(thm)],[24764])).
% 16.10/11.33 tff(24766,plain,
% 16.10/11.33 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB174, constB175)) | (v101(constB175) <=> (~((~v102(constB175)) | (~v1(constB175))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB174, constB175)) | (v101(constB175) <=> (~((~v1(constB175)) | (~v102(constB175))))))),
% 16.10/11.33 inference(transitivity,[status(thm)],[24765, 24763])).
% 16.10/11.33 tff(24767,plain,
% 16.10/11.33 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB174, constB175)) | (v101(constB175) <=> (~((~v102(constB175)) | (~v1(constB175))))))),
% 16.10/11.33 inference(quant_inst,[status(thm)],[])).
% 16.10/11.33 tff(24768,plain,
% 16.10/11.33 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB174, constB175)) | (v101(constB175) <=> (~((~v1(constB175)) | (~v102(constB175)))))),
% 16.10/11.33 inference(modus_ponens,[status(thm)],[24767, 24766])).
% 16.10/11.33 tff(24769,plain,
% 16.10/11.33 (v101(constB175) <=> (~((~v1(constB175)) | (~v102(constB175))))),
% 16.10/11.33 inference(unit_resolution,[status(thm)],[24768, 24758, 450])).
% 16.10/11.33 tff(24770,plain,
% 16.10/11.33 (((~v1(constB175)) | (~v102(constB175))) | v1(constB175)),
% 16.10/11.33 inference(tautology,[status(thm)],[])).
% 16.10/11.33 tff(24771,plain,
% 16.10/11.33 ((~v1(constB175)) | (~v102(constB175))),
% 16.10/11.33 inference(unit_resolution,[status(thm)],[24770, 24725])).
% 16.10/11.33 tff(24772,plain,
% 16.10/11.33 ((~(v101(constB175) <=> (~((~v1(constB175)) | (~v102(constB175)))))) | (~v101(constB175)) | (~((~v1(constB175)) | (~v102(constB175))))),
% 16.10/11.33 inference(tautology,[status(thm)],[])).
% 16.10/11.33 tff(24773,plain,
% 16.10/11.33 ((~(v101(constB175) <=> (~((~v1(constB175)) | (~v102(constB175)))))) | (~v101(constB175))),
% 16.10/11.33 inference(unit_resolution,[status(thm)],[24772, 24771])).
% 16.10/11.33 tff(24774,plain,
% 16.10/11.33 (~v101(constB175)),
% 16.10/11.33 inference(unit_resolution,[status(thm)],[24773, 24769])).
% 16.10/11.33 tff(24775,plain,
% 16.10/11.33 (((~v101(constB175)) | (~v110(constB175))) | v101(constB175)),
% 16.10/11.33 inference(tautology,[status(thm)],[])).
% 16.10/11.33 tff(24776,plain,
% 16.10/11.33 ((~v101(constB175)) | (~v110(constB175))),
% 16.10/11.33 inference(unit_resolution,[status(thm)],[24775, 24774])).
% 16.10/11.33 tff(24777,plain,
% 16.10/11.33 ((~(v100(constB175) <=> (~((~v101(constB175)) | (~v110(constB175)))))) | (~v100(constB175)) | (~((~v101(constB175)) | (~v110(constB175))))),
% 16.10/11.33 inference(tautology,[status(thm)],[])).
% 16.10/11.33 tff(24778,plain,
% 16.10/11.33 (~v100(constB175)),
% 16.10/11.33 inference(unit_resolution,[status(thm)],[24777, 24776, 24762])).
% 16.10/11.33 tff(24779,plain,
% 16.10/11.33 (((~![VarCurr: $i, VarNext: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v90(VarCurr, B))))) | (v100(constB175) | (~nextState(constB174, constB175)) | ![B: $i] : ((~less_3(B)) | (v90(constB175, B) <=> v90(constB174, B))))) <=> ((~![VarCurr: $i, VarNext: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v90(VarCurr, B))))) | v100(constB175) | (~nextState(constB174, constB175)) | ![B: $i] : ((~less_3(B)) | (v90(constB175, B) <=> v90(constB174, B))))),
% 16.10/11.33 inference(rewrite,[status(thm)],[])).
% 16.10/11.33 tff(24780,plain,
% 16.10/11.33 ((~![VarCurr: $i, VarNext: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v90(VarCurr, B))))) | (v100(constB175) | (~nextState(constB174, constB175)) | ![B: $i] : ((~less_3(B)) | (v90(constB175, B) <=> v90(constB174, B))))),
% 16.10/11.33 inference(quant_inst,[status(thm)],[])).
% 16.10/11.33 tff(24781,plain,
% 16.10/11.33 ((~![VarCurr: $i, VarNext: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v90(VarCurr, B))))) | v100(constB175) | (~nextState(constB174, constB175)) | ![B: $i] : ((~less_3(B)) | (v90(constB175, B) <=> v90(constB174, B)))),
% 16.10/11.33 inference(modus_ponens,[status(thm)],[24780, 24779])).
% 16.10/11.33 tff(24782,plain,
% 16.10/11.33 (v100(constB175) | ![B: $i] : ((~less_3(B)) | (v90(constB175, B) <=> v90(constB174, B)))),
% 16.10/11.33 inference(unit_resolution,[status(thm)],[24781, 24758, 479])).
% 16.10/11.33 tff(24783,plain,
% 16.10/11.33 (![B: $i] : ((~less_3(B)) | (v90(constB175, B) <=> v90(constB174, B)))),
% 16.10/11.33 inference(unit_resolution,[status(thm)],[24782, 24778])).
% 16.10/11.33 tff(24784,plain,
% 16.10/11.33 (((~![B: $i] : ((~less_3(B)) | (v90(constB175, B) <=> v90(constB174, B)))) | ((~less_3(bitIndex2)) | (v90(constB175, bitIndex2) <=> v90(constB174, bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v90(constB175, B) <=> v90(constB174, B)))) | (~less_3(bitIndex2)) | (v90(constB175, bitIndex2) <=> v90(constB174, bitIndex2)))),
% 16.10/11.33 inference(rewrite,[status(thm)],[])).
% 16.10/11.33 tff(24785,plain,
% 16.10/11.33 ((~![B: $i] : ((~less_3(B)) | (v90(constB175, B) <=> v90(constB174, B)))) | ((~less_3(bitIndex2)) | (v90(constB175, bitIndex2) <=> v90(constB174, bitIndex2)))),
% 16.10/11.33 inference(quant_inst,[status(thm)],[])).
% 16.10/11.33 tff(24786,plain,
% 16.10/11.33 ((~![B: $i] : ((~less_3(B)) | (v90(constB175, B) <=> v90(constB174, B)))) | (~less_3(bitIndex2)) | (v90(constB175, bitIndex2) <=> v90(constB174, bitIndex2))),
% 16.10/11.34 inference(modus_ponens,[status(thm)],[24785, 24784])).
% 16.10/11.34 tff(24787,plain,
% 16.10/11.34 (v90(constB175, bitIndex2) <=> v90(constB174, bitIndex2)),
% 16.10/11.34 inference(unit_resolution,[status(thm)],[24786, 413, 24783])).
% 16.10/11.34 tff(24788,plain,
% 16.10/11.34 (nextState(constB173, constB174) <=> nextState(constB173, constB174)),
% 16.10/11.34 inference(rewrite,[status(thm)],[])).
% 16.10/11.34 tff(24789,axiom,(nextState(constB173, constB174)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_173')).
% 16.10/11.34 tff(24790,plain,
% 16.10/11.34 (nextState(constB173, constB174)),
% 16.10/11.34 inference(modus_ponens,[status(thm)],[24789, 24788])).
% 16.10/11.34 tff(24791,plain,
% 16.10/11.34 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB173, constB174)) | (v100(constB174) <=> (~((~v101(constB174)) | (~v110(constB174))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB173, constB174)) | (v100(constB174) <=> (~((~v101(constB174)) | (~v110(constB174))))))),
% 16.10/11.34 inference(rewrite,[status(thm)],[])).
% 16.10/11.34 tff(24792,plain,
% 16.10/11.34 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB173, constB174)) | (v100(constB174) <=> (~((~v101(constB174)) | (~v110(constB174))))))),
% 16.10/11.34 inference(quant_inst,[status(thm)],[])).
% 16.10/11.34 tff(24793,plain,
% 16.10/11.34 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB173, constB174)) | (v100(constB174) <=> (~((~v101(constB174)) | (~v110(constB174)))))),
% 16.10/11.34 inference(modus_ponens,[status(thm)],[24792, 24791])).
% 16.10/11.34 tff(24794,plain,
% 16.10/11.34 (v100(constB174) <=> (~((~v101(constB174)) | (~v110(constB174))))),
% 16.10/11.34 inference(unit_resolution,[status(thm)],[24793, 24790, 430])).
% 16.10/11.34 tff(24795,plain,
% 16.10/11.34 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB173, constB174)) | (v101(constB174) <=> (~((~v1(constB174)) | (~v102(constB174))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB173, constB174)) | (v101(constB174) <=> (~((~v1(constB174)) | (~v102(constB174))))))),
% 16.10/11.34 inference(rewrite,[status(thm)],[])).
% 16.10/11.34 tff(24796,plain,
% 16.10/11.34 (((~nextState(constB173, constB174)) | (v101(constB174) <=> (~((~v102(constB174)) | (~v1(constB174)))))) <=> ((~nextState(constB173, constB174)) | (v101(constB174) <=> (~((~v1(constB174)) | (~v102(constB174))))))),
% 16.10/11.34 inference(rewrite,[status(thm)],[])).
% 16.10/11.34 tff(24797,plain,
% 16.10/11.34 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB173, constB174)) | (v101(constB174) <=> (~((~v102(constB174)) | (~v1(constB174))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB173, constB174)) | (v101(constB174) <=> (~((~v1(constB174)) | (~v102(constB174)))))))),
% 16.10/11.34 inference(monotonicity,[status(thm)],[24796])).
% 16.10/11.34 tff(24798,plain,
% 16.10/11.34 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB173, constB174)) | (v101(constB174) <=> (~((~v102(constB174)) | (~v1(constB174))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB173, constB174)) | (v101(constB174) <=> (~((~v1(constB174)) | (~v102(constB174))))))),
% 16.10/11.34 inference(transitivity,[status(thm)],[24797, 24795])).
% 16.10/11.34 tff(24799,plain,
% 16.10/11.34 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB173, constB174)) | (v101(constB174) <=> (~((~v102(constB174)) | (~v1(constB174))))))),
% 16.10/11.34 inference(quant_inst,[status(thm)],[])).
% 16.10/11.34 tff(24800,plain,
% 16.10/11.34 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB173, constB174)) | (v101(constB174) <=> (~((~v1(constB174)) | (~v102(constB174)))))),
% 16.10/11.34 inference(modus_ponens,[status(thm)],[24799, 24798])).
% 16.10/11.34 tff(24801,plain,
% 16.10/11.34 (v101(constB174) <=> (~((~v1(constB174)) | (~v102(constB174))))),
% 16.10/11.34 inference(unit_resolution,[status(thm)],[24800, 24790, 450])).
% 16.10/11.34 tff(24802,plain,
% 16.10/11.34 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | ((~nextState(constB173, constB174)) | ((~v102(constB174)) <=> v104(constB174)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | (~nextState(constB173, constB174)) | ((~v102(constB174)) <=> v104(constB174)))),
% 16.10/11.34 inference(rewrite,[status(thm)],[])).
% 16.10/11.34 tff(24803,plain,
% 16.10/11.34 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | ((~nextState(constB173, constB174)) | ((~v102(constB174)) <=> v104(constB174)))),
% 16.10/11.34 inference(quant_inst,[status(thm)],[])).
% 16.10/11.34 tff(24804,plain,
% 16.10/11.34 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | (~nextState(constB173, constB174)) | ((~v102(constB174)) <=> v104(constB174))),
% 16.10/11.34 inference(modus_ponens,[status(thm)],[24803, 24802])).
% 16.10/11.34 tff(24805,plain,
% 16.10/11.34 ((~v102(constB174)) <=> v104(constB174)),
% 16.10/11.34 inference(unit_resolution,[status(thm)],[24804, 24790, 512])).
% 16.10/11.34 tff(24806,plain,
% 16.10/11.34 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB173, constB174)) | (v104(constB174) <=> v1(constB173)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | (~nextState(constB173, constB174)) | (v104(constB174) <=> v1(constB173)))),
% 16.10/11.34 inference(rewrite,[status(thm)],[])).
% 16.10/11.34 tff(24807,plain,
% 16.10/11.34 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB173, constB174)) | (v104(constB174) <=> v1(constB173)))),
% 16.10/11.34 inference(quant_inst,[status(thm)],[])).
% 16.10/11.34 tff(24808,plain,
% 16.10/11.34 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | (~nextState(constB173, constB174)) | (v104(constB174) <=> v1(constB173))),
% 16.10/11.34 inference(modus_ponens,[status(thm)],[24807, 24806])).
% 16.10/11.34 tff(24809,plain,
% 16.10/11.34 (v104(constB174) <=> v1(constB173)),
% 16.10/11.34 inference(unit_resolution,[status(thm)],[24808, 24790, 526])).
% 16.10/11.34 tff(24810,plain,
% 16.10/11.34 ((~v1(constB173)) <=> (~v1(constB173))),
% 16.10/11.34 inference(rewrite,[status(thm)],[])).
% 16.10/11.34 tff(24811,axiom,(~v1(constB173)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_173')).
% 16.10/11.34 tff(24812,plain,
% 16.10/11.34 (~v1(constB173)),
% 16.10/11.34 inference(modus_ponens,[status(thm)],[24811, 24810])).
% 16.10/11.34 tff(24813,plain,
% 16.10/11.34 ((~(v104(constB174) <=> v1(constB173))) | (~v104(constB174)) | v1(constB173)),
% 16.10/11.34 inference(tautology,[status(thm)],[])).
% 16.10/11.34 tff(24814,plain,
% 16.10/11.34 ((~(v104(constB174) <=> v1(constB173))) | (~v104(constB174))),
% 16.10/11.34 inference(unit_resolution,[status(thm)],[24813, 24812])).
% 16.10/11.34 tff(24815,plain,
% 16.10/11.34 (~v104(constB174)),
% 16.10/11.34 inference(unit_resolution,[status(thm)],[24814, 24809])).
% 16.10/11.34 tff(24816,plain,
% 16.10/11.34 ((~((~v102(constB174)) <=> v104(constB174))) | v102(constB174) | v104(constB174)),
% 16.10/11.34 inference(tautology,[status(thm)],[])).
% 16.10/11.34 tff(24817,plain,
% 16.10/11.34 (v102(constB174)),
% 16.10/11.34 inference(unit_resolution,[status(thm)],[24816, 24815, 24805])).
% 16.10/11.34 tff(24818,plain,
% 16.10/11.34 (v1(constB174) <=> v1(constB174)),
% 16.10/11.34 inference(rewrite,[status(thm)],[])).
% 16.10/11.34 tff(24819,axiom,(v1(constB174)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_174')).
% 16.10/11.34 tff(24820,plain,
% 16.10/11.34 (v1(constB174)),
% 16.10/11.34 inference(modus_ponens,[status(thm)],[24819, 24818])).
% 16.10/11.34 tff(24821,plain,
% 16.10/11.34 ((~((~v1(constB174)) | (~v102(constB174)))) | (~v1(constB174)) | (~v102(constB174))),
% 16.10/11.34 inference(tautology,[status(thm)],[])).
% 16.10/11.34 tff(24822,plain,
% 16.10/11.34 ((~((~v1(constB174)) | (~v102(constB174)))) | (~v102(constB174))),
% 16.10/11.34 inference(unit_resolution,[status(thm)],[24821, 24820])).
% 16.10/11.34 tff(24823,plain,
% 16.10/11.34 (~((~v1(constB174)) | (~v102(constB174)))),
% 16.10/11.34 inference(unit_resolution,[status(thm)],[24822, 24817])).
% 16.10/11.34 tff(24824,plain,
% 16.10/11.34 ((~(v101(constB174) <=> (~((~v1(constB174)) | (~v102(constB174)))))) | v101(constB174) | ((~v1(constB174)) | (~v102(constB174)))),
% 16.10/11.34 inference(tautology,[status(thm)],[])).
% 16.10/11.34 tff(24825,plain,
% 16.10/11.34 (v101(constB174)),
% 16.10/11.34 inference(unit_resolution,[status(thm)],[24824, 24823, 24801])).
% 16.10/11.34 tff(24826,plain,
% 16.10/11.34 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | ((~nextState(constB173, constB174)) | (v110(constB174) <=> v108(constB173)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | (~nextState(constB173, constB174)) | (v110(constB174) <=> v108(constB173)))),
% 16.10/11.34 inference(rewrite,[status(thm)],[])).
% 16.10/11.34 tff(24827,plain,
% 16.10/11.34 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | ((~nextState(constB173, constB174)) | (v110(constB174) <=> v108(constB173)))),
% 16.10/11.34 inference(quant_inst,[status(thm)],[])).
% 16.10/11.34 tff(24828,plain,
% 16.10/11.34 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | (~nextState(constB173, constB174)) | (v110(constB174) <=> v108(constB173))),
% 16.10/11.34 inference(modus_ponens,[status(thm)],[24827, 24826])).
% 16.10/11.34 tff(24829,plain,
% 16.10/11.34 (v110(constB174) <=> v108(constB173)),
% 16.10/11.34 inference(unit_resolution,[status(thm)],[24828, 24790, 556])).
% 16.10/11.34 tff(24830,plain,
% 16.10/11.34 ((~![VarCurr: $i] : (v108(VarCurr) <=> (v111(VarCurr) | v112(VarCurr)))) | (v108(constB173) <=> (v111(constB173) | v112(constB173)))),
% 16.10/11.34 inference(quant_inst,[status(thm)],[])).
% 16.10/11.34 tff(24831,plain,
% 16.10/11.34 (v108(constB173) <=> (v111(constB173) | v112(constB173))),
% 16.10/11.34 inference(unit_resolution,[status(thm)],[24830, 567])).
% 16.10/11.34 tff(24832,plain,
% 16.10/11.34 ((~![VarCurr: $i] : (v112(VarCurr) <=> (~((~v113(VarCurr)) | (~v126(VarCurr)))))) | (v112(constB173) <=> (~((~v113(constB173)) | (~v126(constB173)))))),
% 16.10/11.34 inference(quant_inst,[status(thm)],[])).
% 16.10/11.34 tff(24833,plain,
% 16.10/11.34 (v112(constB173) <=> (~((~v113(constB173)) | (~v126(constB173))))),
% 16.10/11.34 inference(unit_resolution,[status(thm)],[24832, 579])).
% 16.10/11.34 tff(24834,plain,
% 16.10/11.34 ((~![VarCurr: $i] : (v113(VarCurr) <=> (v114(VarCurr) | v125(VarCurr)))) | (v113(constB173) <=> (v114(constB173) | v125(constB173)))),
% 16.10/11.34 inference(quant_inst,[status(thm)],[])).
% 16.10/11.34 tff(24835,plain,
% 16.10/11.34 (v113(constB173) <=> (v114(constB173) | v125(constB173))),
% 16.10/11.34 inference(unit_resolution,[status(thm)],[24834, 588])).
% 16.10/11.34 tff(24836,plain,
% 16.10/11.34 ((~![VarCurr: $i] : (v114(VarCurr) <=> (v115(VarCurr) | v124(VarCurr)))) | (v114(constB173) <=> (v115(constB173) | v124(constB173)))),
% 16.10/11.34 inference(quant_inst,[status(thm)],[])).
% 16.10/11.34 tff(24837,plain,
% 16.10/11.34 (v114(constB173) <=> (v115(constB173) | v124(constB173))),
% 16.10/11.34 inference(unit_resolution,[status(thm)],[24836, 597])).
% 16.10/11.34 tff(24838,plain,
% 16.10/11.34 ((~![VarCurr: $i] : (v115(VarCurr) <=> (v116(VarCurr) | v123(VarCurr)))) | (v115(constB173) <=> (v116(constB173) | v123(constB173)))),
% 16.10/11.34 inference(quant_inst,[status(thm)],[])).
% 16.10/11.34 tff(24839,plain,
% 16.10/11.34 (v115(constB173) <=> (v116(constB173) | v123(constB173))),
% 16.10/11.34 inference(unit_resolution,[status(thm)],[24838, 606])).
% 16.10/11.34 tff(24840,plain,
% 16.10/11.34 (((~![VarCurr: $i] : (v123(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)))))) | (v123(constB173) <=> (~((~v90(constB173, bitIndex2)) | v90(constB173, bitIndex1) | v90(constB173, bitIndex0))))) <=> ((~![VarCurr: $i] : (v123(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)))))) | (v123(constB173) <=> (~((~v90(constB173, bitIndex2)) | v90(constB173, bitIndex1) | v90(constB173, bitIndex0)))))),
% 16.10/11.34 inference(rewrite,[status(thm)],[])).
% 16.10/11.34 tff(24841,plain,
% 16.10/11.34 ((v123(constB173) <=> (~(v90(constB173, bitIndex0) | v90(constB173, bitIndex1) | (~v90(constB173, bitIndex2))))) <=> (v123(constB173) <=> (~((~v90(constB173, bitIndex2)) | v90(constB173, bitIndex1) | v90(constB173, bitIndex0))))),
% 16.10/11.34 inference(rewrite,[status(thm)],[])).
% 16.10/11.34 tff(24842,plain,
% 16.10/11.34 (((~![VarCurr: $i] : (v123(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)))))) | (v123(constB173) <=> (~(v90(constB173, bitIndex0) | v90(constB173, bitIndex1) | (~v90(constB173, bitIndex2)))))) <=> ((~![VarCurr: $i] : (v123(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)))))) | (v123(constB173) <=> (~((~v90(constB173, bitIndex2)) | v90(constB173, bitIndex1) | v90(constB173, bitIndex0)))))),
% 16.10/11.34 inference(monotonicity,[status(thm)],[24841])).
% 16.10/11.34 tff(24843,plain,
% 16.10/11.34 (((~![VarCurr: $i] : (v123(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)))))) | (v123(constB173) <=> (~(v90(constB173, bitIndex0) | v90(constB173, bitIndex1) | (~v90(constB173, bitIndex2)))))) <=> ((~![VarCurr: $i] : (v123(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)))))) | (v123(constB173) <=> (~((~v90(constB173, bitIndex2)) | v90(constB173, bitIndex1) | v90(constB173, bitIndex0)))))),
% 16.10/11.34 inference(transitivity,[status(thm)],[24842, 24840])).
% 16.10/11.34 tff(24844,plain,
% 16.10/11.34 ((~![VarCurr: $i] : (v123(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)))))) | (v123(constB173) <=> (~(v90(constB173, bitIndex0) | v90(constB173, bitIndex1) | (~v90(constB173, bitIndex2)))))),
% 16.10/11.34 inference(quant_inst,[status(thm)],[])).
% 16.10/11.34 tff(24845,plain,
% 16.10/11.34 ((~![VarCurr: $i] : (v123(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)))))) | (v123(constB173) <=> (~((~v90(constB173, bitIndex2)) | v90(constB173, bitIndex1) | v90(constB173, bitIndex0))))),
% 16.10/11.34 inference(modus_ponens,[status(thm)],[24844, 24843])).
% 16.10/11.34 tff(24846,plain,
% 16.10/11.34 (v123(constB173) <=> (~((~v90(constB173, bitIndex2)) | v90(constB173, bitIndex1) | v90(constB173, bitIndex0)))),
% 16.10/11.34 inference(unit_resolution,[status(thm)],[24845, 621])).
% 16.10/11.34 tff(24847,plain,
% 16.10/11.34 (nextState(constB172, constB173) <=> nextState(constB172, constB173)),
% 16.10/11.34 inference(rewrite,[status(thm)],[])).
% 16.10/11.34 tff(24848,axiom,(nextState(constB172, constB173)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_172')).
% 16.10/11.34 tff(24849,plain,
% 16.10/11.34 (nextState(constB172, constB173)),
% 16.10/11.34 inference(modus_ponens,[status(thm)],[24848, 24847])).
% 16.10/11.34 tff(24850,plain,
% 16.10/11.34 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB172, constB173)) | (v100(constB173) <=> (~((~v101(constB173)) | (~v110(constB173))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB172, constB173)) | (v100(constB173) <=> (~((~v101(constB173)) | (~v110(constB173))))))),
% 16.10/11.34 inference(rewrite,[status(thm)],[])).
% 16.10/11.34 tff(24851,plain,
% 16.10/11.34 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB172, constB173)) | (v100(constB173) <=> (~((~v101(constB173)) | (~v110(constB173))))))),
% 16.10/11.34 inference(quant_inst,[status(thm)],[])).
% 16.10/11.34 tff(24852,plain,
% 16.10/11.34 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB172, constB173)) | (v100(constB173) <=> (~((~v101(constB173)) | (~v110(constB173)))))),
% 16.10/11.34 inference(modus_ponens,[status(thm)],[24851, 24850])).
% 16.10/11.34 tff(24853,plain,
% 16.10/11.34 (v100(constB173) <=> (~((~v101(constB173)) | (~v110(constB173))))),
% 16.10/11.34 inference(unit_resolution,[status(thm)],[24852, 24849, 430])).
% 16.10/11.34 tff(24854,plain,
% 16.10/11.34 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB172, constB173)) | (v101(constB173) <=> (~((~v1(constB173)) | (~v102(constB173))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB172, constB173)) | (v101(constB173) <=> (~((~v1(constB173)) | (~v102(constB173))))))),
% 16.10/11.35 inference(rewrite,[status(thm)],[])).
% 16.10/11.35 tff(24855,plain,
% 16.10/11.35 (((~nextState(constB172, constB173)) | (v101(constB173) <=> (~((~v102(constB173)) | (~v1(constB173)))))) <=> ((~nextState(constB172, constB173)) | (v101(constB173) <=> (~((~v1(constB173)) | (~v102(constB173))))))),
% 16.10/11.35 inference(rewrite,[status(thm)],[])).
% 16.10/11.35 tff(24856,plain,
% 16.10/11.35 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB172, constB173)) | (v101(constB173) <=> (~((~v102(constB173)) | (~v1(constB173))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB172, constB173)) | (v101(constB173) <=> (~((~v1(constB173)) | (~v102(constB173)))))))),
% 16.10/11.35 inference(monotonicity,[status(thm)],[24855])).
% 16.10/11.35 tff(24857,plain,
% 16.10/11.35 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB172, constB173)) | (v101(constB173) <=> (~((~v102(constB173)) | (~v1(constB173))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB172, constB173)) | (v101(constB173) <=> (~((~v1(constB173)) | (~v102(constB173))))))),
% 16.10/11.35 inference(transitivity,[status(thm)],[24856, 24854])).
% 16.10/11.35 tff(24858,plain,
% 16.10/11.35 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB172, constB173)) | (v101(constB173) <=> (~((~v102(constB173)) | (~v1(constB173))))))),
% 16.10/11.35 inference(quant_inst,[status(thm)],[])).
% 16.10/11.35 tff(24859,plain,
% 16.10/11.35 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB172, constB173)) | (v101(constB173) <=> (~((~v1(constB173)) | (~v102(constB173)))))),
% 16.10/11.35 inference(modus_ponens,[status(thm)],[24858, 24857])).
% 16.10/11.35 tff(24860,plain,
% 16.10/11.35 (v101(constB173) <=> (~((~v1(constB173)) | (~v102(constB173))))),
% 16.10/11.35 inference(unit_resolution,[status(thm)],[24859, 24849, 450])).
% 16.10/11.35 tff(24861,plain,
% 16.10/11.35 (((~v1(constB173)) | (~v102(constB173))) | v1(constB173)),
% 16.10/11.35 inference(tautology,[status(thm)],[])).
% 16.10/11.35 tff(24862,plain,
% 16.10/11.35 ((~v1(constB173)) | (~v102(constB173))),
% 16.10/11.35 inference(unit_resolution,[status(thm)],[24861, 24812])).
% 16.10/11.35 tff(24863,plain,
% 16.10/11.35 ((~(v101(constB173) <=> (~((~v1(constB173)) | (~v102(constB173)))))) | (~v101(constB173)) | (~((~v1(constB173)) | (~v102(constB173))))),
% 16.10/11.35 inference(tautology,[status(thm)],[])).
% 16.10/11.35 tff(24864,plain,
% 16.10/11.35 ((~(v101(constB173) <=> (~((~v1(constB173)) | (~v102(constB173)))))) | (~v101(constB173))),
% 16.10/11.35 inference(unit_resolution,[status(thm)],[24863, 24862])).
% 16.10/11.35 tff(24865,plain,
% 16.10/11.35 (~v101(constB173)),
% 16.10/11.35 inference(unit_resolution,[status(thm)],[24864, 24860])).
% 16.10/11.35 tff(24866,plain,
% 16.10/11.35 (((~v101(constB173)) | (~v110(constB173))) | v101(constB173)),
% 16.10/11.35 inference(tautology,[status(thm)],[])).
% 16.10/11.35 tff(24867,plain,
% 16.10/11.35 ((~v101(constB173)) | (~v110(constB173))),
% 16.10/11.35 inference(unit_resolution,[status(thm)],[24866, 24865])).
% 16.10/11.35 tff(24868,plain,
% 16.10/11.35 ((~(v100(constB173) <=> (~((~v101(constB173)) | (~v110(constB173)))))) | (~v100(constB173)) | (~((~v101(constB173)) | (~v110(constB173))))),
% 16.10/11.35 inference(tautology,[status(thm)],[])).
% 16.10/11.35 tff(24869,plain,
% 16.10/11.35 (~v100(constB173)),
% 16.10/11.35 inference(unit_resolution,[status(thm)],[24868, 24867, 24853])).
% 16.10/11.35 tff(24870,plain,
% 16.10/11.35 (((~![VarCurr: $i, VarNext: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v90(VarCurr, B))))) | (v100(constB173) | (~nextState(constB172, constB173)) | ![B: $i] : ((~less_3(B)) | (v90(constB173, B) <=> v90(constB172, B))))) <=> ((~![VarCurr: $i, VarNext: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v90(VarCurr, B))))) | v100(constB173) | (~nextState(constB172, constB173)) | ![B: $i] : ((~less_3(B)) | (v90(constB173, B) <=> v90(constB172, B))))),
% 16.10/11.35 inference(rewrite,[status(thm)],[])).
% 16.10/11.35 tff(24871,plain,
% 16.10/11.35 ((~![VarCurr: $i, VarNext: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v90(VarCurr, B))))) | (v100(constB173) | (~nextState(constB172, constB173)) | ![B: $i] : ((~less_3(B)) | (v90(constB173, B) <=> v90(constB172, B))))),
% 16.10/11.35 inference(quant_inst,[status(thm)],[])).
% 16.10/11.35 tff(24872,plain,
% 16.10/11.35 ((~![VarCurr: $i, VarNext: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v90(VarCurr, B))))) | v100(constB173) | (~nextState(constB172, constB173)) | ![B: $i] : ((~less_3(B)) | (v90(constB173, B) <=> v90(constB172, B)))),
% 16.10/11.35 inference(modus_ponens,[status(thm)],[24871, 24870])).
% 16.10/11.35 tff(24873,plain,
% 16.10/11.35 (v100(constB173) | ![B: $i] : ((~less_3(B)) | (v90(constB173, B) <=> v90(constB172, B)))),
% 16.10/11.35 inference(unit_resolution,[status(thm)],[24872, 24849, 479])).
% 16.10/11.35 tff(24874,plain,
% 16.10/11.35 (![B: $i] : ((~less_3(B)) | (v90(constB173, B) <=> v90(constB172, B)))),
% 16.10/11.35 inference(unit_resolution,[status(thm)],[24873, 24869])).
% 16.10/11.35 tff(24875,plain,
% 16.10/11.35 (((~![B: $i] : ((~less_3(B)) | (v90(constB173, B) <=> v90(constB172, B)))) | ((~less_3(bitIndex2)) | (v90(constB173, bitIndex2) <=> v90(constB172, bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v90(constB173, B) <=> v90(constB172, B)))) | (~less_3(bitIndex2)) | (v90(constB173, bitIndex2) <=> v90(constB172, bitIndex2)))),
% 16.10/11.35 inference(rewrite,[status(thm)],[])).
% 16.10/11.35 tff(24876,plain,
% 16.10/11.35 ((~![B: $i] : ((~less_3(B)) | (v90(constB173, B) <=> v90(constB172, B)))) | ((~less_3(bitIndex2)) | (v90(constB173, bitIndex2) <=> v90(constB172, bitIndex2)))),
% 16.10/11.35 inference(quant_inst,[status(thm)],[])).
% 16.10/11.35 tff(24877,plain,
% 16.10/11.35 ((~![B: $i] : ((~less_3(B)) | (v90(constB173, B) <=> v90(constB172, B)))) | (~less_3(bitIndex2)) | (v90(constB173, bitIndex2) <=> v90(constB172, bitIndex2))),
% 16.10/11.35 inference(modus_ponens,[status(thm)],[24876, 24875])).
% 16.10/11.35 tff(24878,plain,
% 16.10/11.35 (v90(constB173, bitIndex2) <=> v90(constB172, bitIndex2)),
% 16.10/11.35 inference(unit_resolution,[status(thm)],[24877, 413, 24874])).
% 16.10/11.35 tff(24879,plain,
% 16.10/11.35 (nextState(constB171, constB172) <=> nextState(constB171, constB172)),
% 16.10/11.35 inference(rewrite,[status(thm)],[])).
% 16.10/11.35 tff(24880,axiom,(nextState(constB171, constB172)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_171')).
% 16.10/11.35 tff(24881,plain,
% 16.10/11.35 (nextState(constB171, constB172)),
% 16.10/11.35 inference(modus_ponens,[status(thm)],[24880, 24879])).
% 16.10/11.35 tff(24882,plain,
% 16.10/11.35 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB171, constB172)) | (v100(constB172) <=> (~((~v101(constB172)) | (~v110(constB172))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB171, constB172)) | (v100(constB172) <=> (~((~v101(constB172)) | (~v110(constB172))))))),
% 16.10/11.35 inference(rewrite,[status(thm)],[])).
% 16.10/11.35 tff(24883,plain,
% 16.10/11.35 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB171, constB172)) | (v100(constB172) <=> (~((~v101(constB172)) | (~v110(constB172))))))),
% 16.10/11.35 inference(quant_inst,[status(thm)],[])).
% 16.10/11.35 tff(24884,plain,
% 16.10/11.35 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB171, constB172)) | (v100(constB172) <=> (~((~v101(constB172)) | (~v110(constB172)))))),
% 16.10/11.35 inference(modus_ponens,[status(thm)],[24883, 24882])).
% 16.10/11.35 tff(24885,plain,
% 16.10/11.35 (v100(constB172) <=> (~((~v101(constB172)) | (~v110(constB172))))),
% 16.10/11.35 inference(unit_resolution,[status(thm)],[24884, 24881, 430])).
% 16.10/11.35 tff(24886,plain,
% 16.10/11.35 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB171, constB172)) | (v101(constB172) <=> (~((~v1(constB172)) | (~v102(constB172))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB171, constB172)) | (v101(constB172) <=> (~((~v1(constB172)) | (~v102(constB172))))))),
% 16.10/11.35 inference(rewrite,[status(thm)],[])).
% 16.10/11.35 tff(24887,plain,
% 16.10/11.35 (((~nextState(constB171, constB172)) | (v101(constB172) <=> (~((~v102(constB172)) | (~v1(constB172)))))) <=> ((~nextState(constB171, constB172)) | (v101(constB172) <=> (~((~v1(constB172)) | (~v102(constB172))))))),
% 16.10/11.35 inference(rewrite,[status(thm)],[])).
% 16.10/11.35 tff(24888,plain,
% 16.10/11.35 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB171, constB172)) | (v101(constB172) <=> (~((~v102(constB172)) | (~v1(constB172))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB171, constB172)) | (v101(constB172) <=> (~((~v1(constB172)) | (~v102(constB172)))))))),
% 16.10/11.35 inference(monotonicity,[status(thm)],[24887])).
% 16.10/11.35 tff(24889,plain,
% 16.10/11.35 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB171, constB172)) | (v101(constB172) <=> (~((~v102(constB172)) | (~v1(constB172))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB171, constB172)) | (v101(constB172) <=> (~((~v1(constB172)) | (~v102(constB172))))))),
% 16.10/11.35 inference(transitivity,[status(thm)],[24888, 24886])).
% 16.10/11.35 tff(24890,plain,
% 16.10/11.35 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB171, constB172)) | (v101(constB172) <=> (~((~v102(constB172)) | (~v1(constB172))))))),
% 16.10/11.35 inference(quant_inst,[status(thm)],[])).
% 16.10/11.35 tff(24891,plain,
% 16.10/11.35 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB171, constB172)) | (v101(constB172) <=> (~((~v1(constB172)) | (~v102(constB172)))))),
% 16.10/11.35 inference(modus_ponens,[status(thm)],[24890, 24889])).
% 16.10/11.35 tff(24892,plain,
% 16.10/11.35 (v101(constB172) <=> (~((~v1(constB172)) | (~v102(constB172))))),
% 16.10/11.35 inference(unit_resolution,[status(thm)],[24891, 24881, 450])).
% 16.10/11.35 tff(24893,plain,
% 16.10/11.35 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | ((~nextState(constB171, constB172)) | ((~v102(constB172)) <=> v104(constB172)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | (~nextState(constB171, constB172)) | ((~v102(constB172)) <=> v104(constB172)))),
% 16.10/11.35 inference(rewrite,[status(thm)],[])).
% 16.10/11.35 tff(24894,plain,
% 16.10/11.35 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | ((~nextState(constB171, constB172)) | ((~v102(constB172)) <=> v104(constB172)))),
% 16.10/11.35 inference(quant_inst,[status(thm)],[])).
% 16.10/11.35 tff(24895,plain,
% 16.10/11.35 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | (~nextState(constB171, constB172)) | ((~v102(constB172)) <=> v104(constB172))),
% 16.10/11.35 inference(modus_ponens,[status(thm)],[24894, 24893])).
% 16.10/11.35 tff(24896,plain,
% 16.10/11.35 ((~v102(constB172)) <=> v104(constB172)),
% 16.10/11.35 inference(unit_resolution,[status(thm)],[24895, 24881, 512])).
% 16.10/11.35 tff(24897,plain,
% 16.10/11.35 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB171, constB172)) | (v104(constB172) <=> v1(constB171)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | (~nextState(constB171, constB172)) | (v104(constB172) <=> v1(constB171)))),
% 16.10/11.35 inference(rewrite,[status(thm)],[])).
% 16.10/11.35 tff(24898,plain,
% 16.10/11.35 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB171, constB172)) | (v104(constB172) <=> v1(constB171)))),
% 16.10/11.35 inference(quant_inst,[status(thm)],[])).
% 16.10/11.35 tff(24899,plain,
% 16.10/11.35 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | (~nextState(constB171, constB172)) | (v104(constB172) <=> v1(constB171))),
% 16.10/11.35 inference(modus_ponens,[status(thm)],[24898, 24897])).
% 16.10/11.35 tff(24900,plain,
% 16.10/11.35 (v104(constB172) <=> v1(constB171)),
% 16.10/11.35 inference(unit_resolution,[status(thm)],[24899, 24881, 526])).
% 16.10/11.35 tff(24901,plain,
% 16.10/11.35 ((~v1(constB171)) <=> (~v1(constB171))),
% 16.10/11.35 inference(rewrite,[status(thm)],[])).
% 16.10/11.35 tff(24902,axiom,(~v1(constB171)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_171')).
% 16.10/11.35 tff(24903,plain,
% 16.10/11.35 (~v1(constB171)),
% 16.10/11.35 inference(modus_ponens,[status(thm)],[24902, 24901])).
% 16.10/11.35 tff(24904,plain,
% 16.10/11.35 ((~(v104(constB172) <=> v1(constB171))) | (~v104(constB172)) | v1(constB171)),
% 16.10/11.35 inference(tautology,[status(thm)],[])).
% 16.10/11.35 tff(24905,plain,
% 16.10/11.35 ((~(v104(constB172) <=> v1(constB171))) | (~v104(constB172))),
% 16.10/11.35 inference(unit_resolution,[status(thm)],[24904, 24903])).
% 16.10/11.35 tff(24906,plain,
% 16.10/11.35 (~v104(constB172)),
% 16.10/11.35 inference(unit_resolution,[status(thm)],[24905, 24900])).
% 16.10/11.35 tff(24907,plain,
% 16.10/11.35 ((~((~v102(constB172)) <=> v104(constB172))) | v102(constB172) | v104(constB172)),
% 16.10/11.35 inference(tautology,[status(thm)],[])).
% 16.10/11.35 tff(24908,plain,
% 16.10/11.35 (v102(constB172)),
% 16.10/11.35 inference(unit_resolution,[status(thm)],[24907, 24906, 24896])).
% 16.10/11.35 tff(24909,plain,
% 16.10/11.35 (v1(constB172) <=> v1(constB172)),
% 16.10/11.35 inference(rewrite,[status(thm)],[])).
% 16.10/11.35 tff(24910,axiom,(v1(constB172)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_172')).
% 16.10/11.35 tff(24911,plain,
% 16.10/11.35 (v1(constB172)),
% 16.10/11.35 inference(modus_ponens,[status(thm)],[24910, 24909])).
% 16.10/11.35 tff(24912,plain,
% 16.10/11.35 ((~((~v1(constB172)) | (~v102(constB172)))) | (~v1(constB172)) | (~v102(constB172))),
% 16.10/11.35 inference(tautology,[status(thm)],[])).
% 16.10/11.35 tff(24913,plain,
% 16.10/11.35 ((~((~v1(constB172)) | (~v102(constB172)))) | (~v102(constB172))),
% 16.10/11.35 inference(unit_resolution,[status(thm)],[24912, 24911])).
% 16.10/11.35 tff(24914,plain,
% 16.10/11.35 (~((~v1(constB172)) | (~v102(constB172)))),
% 16.10/11.35 inference(unit_resolution,[status(thm)],[24913, 24908])).
% 16.10/11.35 tff(24915,plain,
% 16.10/11.35 ((~(v101(constB172) <=> (~((~v1(constB172)) | (~v102(constB172)))))) | v101(constB172) | ((~v1(constB172)) | (~v102(constB172)))),
% 16.10/11.35 inference(tautology,[status(thm)],[])).
% 16.10/11.35 tff(24916,plain,
% 16.10/11.35 (v101(constB172)),
% 16.10/11.35 inference(unit_resolution,[status(thm)],[24915, 24914, 24892])).
% 16.10/11.35 tff(24917,plain,
% 16.10/11.35 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | ((~nextState(constB171, constB172)) | (v110(constB172) <=> v108(constB171)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | (~nextState(constB171, constB172)) | (v110(constB172) <=> v108(constB171)))),
% 16.10/11.35 inference(rewrite,[status(thm)],[])).
% 16.10/11.35 tff(24918,plain,
% 16.10/11.35 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | ((~nextState(constB171, constB172)) | (v110(constB172) <=> v108(constB171)))),
% 16.10/11.35 inference(quant_inst,[status(thm)],[])).
% 16.10/11.35 tff(24919,plain,
% 16.10/11.35 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | (~nextState(constB171, constB172)) | (v110(constB172) <=> v108(constB171))),
% 16.10/11.35 inference(modus_ponens,[status(thm)],[24918, 24917])).
% 16.10/11.35 tff(24920,plain,
% 16.10/11.35 (v110(constB172) <=> v108(constB171)),
% 16.10/11.35 inference(unit_resolution,[status(thm)],[24919, 24881, 556])).
% 16.10/11.35 tff(24921,plain,
% 16.10/11.35 ((~![VarCurr: $i] : (v108(VarCurr) <=> (v111(VarCurr) | v112(VarCurr)))) | (v108(constB171) <=> (v111(constB171) | v112(constB171)))),
% 16.10/11.35 inference(quant_inst,[status(thm)],[])).
% 16.10/11.35 tff(24922,plain,
% 16.10/11.35 (v108(constB171) <=> (v111(constB171) | v112(constB171))),
% 16.10/11.36 inference(unit_resolution,[status(thm)],[24921, 567])).
% 16.10/11.36 tff(24923,plain,
% 16.10/11.36 ((~![VarCurr: $i] : (v112(VarCurr) <=> (~((~v113(VarCurr)) | (~v126(VarCurr)))))) | (v112(constB171) <=> (~((~v113(constB171)) | (~v126(constB171)))))),
% 16.10/11.36 inference(quant_inst,[status(thm)],[])).
% 16.10/11.36 tff(24924,plain,
% 16.10/11.36 (v112(constB171) <=> (~((~v113(constB171)) | (~v126(constB171))))),
% 16.10/11.36 inference(unit_resolution,[status(thm)],[24923, 579])).
% 16.10/11.36 tff(24925,plain,
% 16.10/11.36 ((~![VarCurr: $i] : (v113(VarCurr) <=> (v114(VarCurr) | v125(VarCurr)))) | (v113(constB171) <=> (v114(constB171) | v125(constB171)))),
% 16.10/11.36 inference(quant_inst,[status(thm)],[])).
% 16.10/11.36 tff(24926,plain,
% 16.10/11.36 (v113(constB171) <=> (v114(constB171) | v125(constB171))),
% 16.10/11.36 inference(unit_resolution,[status(thm)],[24925, 588])).
% 16.10/11.36 tff(24927,plain,
% 16.10/11.36 ((~![VarCurr: $i] : (v114(VarCurr) <=> (v115(VarCurr) | v124(VarCurr)))) | (v114(constB171) <=> (v115(constB171) | v124(constB171)))),
% 16.10/11.36 inference(quant_inst,[status(thm)],[])).
% 16.10/11.36 tff(24928,plain,
% 16.10/11.36 (v114(constB171) <=> (v115(constB171) | v124(constB171))),
% 16.10/11.36 inference(unit_resolution,[status(thm)],[24927, 597])).
% 16.10/11.36 tff(24929,plain,
% 16.10/11.36 ((~![VarCurr: $i] : (v115(VarCurr) <=> (v116(VarCurr) | v123(VarCurr)))) | (v115(constB171) <=> (v116(constB171) | v123(constB171)))),
% 16.10/11.36 inference(quant_inst,[status(thm)],[])).
% 16.10/11.36 tff(24930,plain,
% 16.10/11.36 (v115(constB171) <=> (v116(constB171) | v123(constB171))),
% 16.10/11.36 inference(unit_resolution,[status(thm)],[24929, 606])).
% 16.10/11.36 tff(24931,plain,
% 16.10/11.36 ((~![VarCurr: $i] : (v116(VarCurr) <=> (v117(VarCurr) | v122(VarCurr)))) | (v116(constB171) <=> (v117(constB171) | v122(constB171)))),
% 16.10/11.36 inference(quant_inst,[status(thm)],[])).
% 16.10/11.36 tff(24932,plain,
% 16.10/11.36 (v116(constB171) <=> (v117(constB171) | v122(constB171))),
% 16.10/11.36 inference(unit_resolution,[status(thm)],[24931, 719])).
% 16.10/11.36 tff(24933,plain,
% 16.10/11.36 (((~![VarCurr: $i] : (v122(VarCurr) <=> (~(v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)))))) | (v122(constB171) <=> (~(v90(constB171, bitIndex2) | (~v90(constB171, bitIndex1)) | (~v90(constB171, bitIndex0)))))) <=> ((~![VarCurr: $i] : (v122(VarCurr) <=> (~(v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)))))) | (v122(constB171) <=> (~(v90(constB171, bitIndex2) | (~v90(constB171, bitIndex1)) | (~v90(constB171, bitIndex0))))))),
% 16.10/11.36 inference(rewrite,[status(thm)],[])).
% 16.10/11.36 tff(24934,plain,
% 16.10/11.36 ((v122(constB171) <=> (~(v90(constB171, bitIndex2) | (~v90(constB171, bitIndex0)) | (~v90(constB171, bitIndex1))))) <=> (v122(constB171) <=> (~(v90(constB171, bitIndex2) | (~v90(constB171, bitIndex1)) | (~v90(constB171, bitIndex0)))))),
% 16.10/11.36 inference(rewrite,[status(thm)],[])).
% 16.10/11.36 tff(24935,plain,
% 16.10/11.36 (((~![VarCurr: $i] : (v122(VarCurr) <=> (~(v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)))))) | (v122(constB171) <=> (~(v90(constB171, bitIndex2) | (~v90(constB171, bitIndex0)) | (~v90(constB171, bitIndex1)))))) <=> ((~![VarCurr: $i] : (v122(VarCurr) <=> (~(v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)))))) | (v122(constB171) <=> (~(v90(constB171, bitIndex2) | (~v90(constB171, bitIndex1)) | (~v90(constB171, bitIndex0))))))),
% 16.10/11.36 inference(monotonicity,[status(thm)],[24934])).
% 16.10/11.36 tff(24936,plain,
% 16.10/11.36 (((~![VarCurr: $i] : (v122(VarCurr) <=> (~(v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)))))) | (v122(constB171) <=> (~(v90(constB171, bitIndex2) | (~v90(constB171, bitIndex0)) | (~v90(constB171, bitIndex1)))))) <=> ((~![VarCurr: $i] : (v122(VarCurr) <=> (~(v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)))))) | (v122(constB171) <=> (~(v90(constB171, bitIndex2) | (~v90(constB171, bitIndex1)) | (~v90(constB171, bitIndex0))))))),
% 16.10/11.36 inference(transitivity,[status(thm)],[24935, 24933])).
% 16.10/11.36 tff(24937,plain,
% 16.10/11.36 ((~![VarCurr: $i] : (v122(VarCurr) <=> (~(v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)))))) | (v122(constB171) <=> (~(v90(constB171, bitIndex2) | (~v90(constB171, bitIndex0)) | (~v90(constB171, bitIndex1)))))),
% 16.10/11.36 inference(quant_inst,[status(thm)],[])).
% 16.10/11.36 tff(24938,plain,
% 16.10/11.36 ((~![VarCurr: $i] : (v122(VarCurr) <=> (~(v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)))))) | (v122(constB171) <=> (~(v90(constB171, bitIndex2) | (~v90(constB171, bitIndex1)) | (~v90(constB171, bitIndex0)))))),
% 16.10/11.36 inference(modus_ponens,[status(thm)],[24937, 24936])).
% 16.10/11.36 tff(24939,plain,
% 16.10/11.36 (v122(constB171) <=> (~(v90(constB171, bitIndex2) | (~v90(constB171, bitIndex1)) | (~v90(constB171, bitIndex0))))),
% 16.10/11.36 inference(unit_resolution,[status(thm)],[24938, 734])).
% 16.10/11.36 tff(24940,plain,
% 16.10/11.36 (nextState(constB170, constB171) <=> nextState(constB170, constB171)),
% 16.10/11.36 inference(rewrite,[status(thm)],[])).
% 16.10/11.36 tff(24941,axiom,(nextState(constB170, constB171)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_170')).
% 16.10/11.36 tff(24942,plain,
% 16.10/11.36 (nextState(constB170, constB171)),
% 16.10/11.36 inference(modus_ponens,[status(thm)],[24941, 24940])).
% 16.10/11.36 tff(24943,plain,
% 16.10/11.36 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB170, constB171)) | (v100(constB171) <=> (~((~v101(constB171)) | (~v110(constB171))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB170, constB171)) | (v100(constB171) <=> (~((~v101(constB171)) | (~v110(constB171))))))),
% 16.10/11.36 inference(rewrite,[status(thm)],[])).
% 16.10/11.36 tff(24944,plain,
% 16.10/11.36 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB170, constB171)) | (v100(constB171) <=> (~((~v101(constB171)) | (~v110(constB171))))))),
% 16.10/11.36 inference(quant_inst,[status(thm)],[])).
% 16.10/11.36 tff(24945,plain,
% 16.10/11.36 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB170, constB171)) | (v100(constB171) <=> (~((~v101(constB171)) | (~v110(constB171)))))),
% 16.10/11.36 inference(modus_ponens,[status(thm)],[24944, 24943])).
% 16.10/11.36 tff(24946,plain,
% 16.10/11.36 (v100(constB171) <=> (~((~v101(constB171)) | (~v110(constB171))))),
% 16.10/11.36 inference(unit_resolution,[status(thm)],[24945, 24942, 430])).
% 16.10/11.36 tff(24947,plain,
% 16.10/11.36 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB170, constB171)) | (v101(constB171) <=> (~((~v1(constB171)) | (~v102(constB171))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB170, constB171)) | (v101(constB171) <=> (~((~v1(constB171)) | (~v102(constB171))))))),
% 16.10/11.36 inference(rewrite,[status(thm)],[])).
% 16.10/11.36 tff(24948,plain,
% 16.10/11.36 (((~nextState(constB170, constB171)) | (v101(constB171) <=> (~((~v102(constB171)) | (~v1(constB171)))))) <=> ((~nextState(constB170, constB171)) | (v101(constB171) <=> (~((~v1(constB171)) | (~v102(constB171))))))),
% 16.10/11.36 inference(rewrite,[status(thm)],[])).
% 16.10/11.36 tff(24949,plain,
% 16.10/11.36 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB170, constB171)) | (v101(constB171) <=> (~((~v102(constB171)) | (~v1(constB171))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB170, constB171)) | (v101(constB171) <=> (~((~v1(constB171)) | (~v102(constB171)))))))),
% 16.10/11.36 inference(monotonicity,[status(thm)],[24948])).
% 16.10/11.36 tff(24950,plain,
% 16.10/11.36 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB170, constB171)) | (v101(constB171) <=> (~((~v102(constB171)) | (~v1(constB171))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB170, constB171)) | (v101(constB171) <=> (~((~v1(constB171)) | (~v102(constB171))))))),
% 16.10/11.36 inference(transitivity,[status(thm)],[24949, 24947])).
% 16.10/11.36 tff(24951,plain,
% 16.10/11.36 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB170, constB171)) | (v101(constB171) <=> (~((~v102(constB171)) | (~v1(constB171))))))),
% 16.10/11.36 inference(quant_inst,[status(thm)],[])).
% 16.10/11.36 tff(24952,plain,
% 16.10/11.36 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB170, constB171)) | (v101(constB171) <=> (~((~v1(constB171)) | (~v102(constB171)))))),
% 16.10/11.36 inference(modus_ponens,[status(thm)],[24951, 24950])).
% 16.10/11.36 tff(24953,plain,
% 16.10/11.36 (v101(constB171) <=> (~((~v1(constB171)) | (~v102(constB171))))),
% 16.10/11.36 inference(unit_resolution,[status(thm)],[24952, 24942, 450])).
% 16.10/11.36 tff(24954,plain,
% 16.10/11.36 (((~v1(constB171)) | (~v102(constB171))) | v1(constB171)),
% 16.10/11.36 inference(tautology,[status(thm)],[])).
% 16.10/11.36 tff(24955,plain,
% 16.10/11.36 ((~v1(constB171)) | (~v102(constB171))),
% 16.10/11.36 inference(unit_resolution,[status(thm)],[24954, 24903])).
% 16.10/11.36 tff(24956,plain,
% 16.10/11.36 ((~(v101(constB171) <=> (~((~v1(constB171)) | (~v102(constB171)))))) | (~v101(constB171)) | (~((~v1(constB171)) | (~v102(constB171))))),
% 16.10/11.36 inference(tautology,[status(thm)],[])).
% 16.10/11.36 tff(24957,plain,
% 16.10/11.36 ((~(v101(constB171) <=> (~((~v1(constB171)) | (~v102(constB171)))))) | (~v101(constB171))),
% 16.10/11.36 inference(unit_resolution,[status(thm)],[24956, 24955])).
% 16.10/11.36 tff(24958,plain,
% 16.10/11.36 (~v101(constB171)),
% 16.10/11.36 inference(unit_resolution,[status(thm)],[24957, 24953])).
% 16.10/11.36 tff(24959,plain,
% 16.10/11.36 (((~v101(constB171)) | (~v110(constB171))) | v101(constB171)),
% 16.10/11.36 inference(tautology,[status(thm)],[])).
% 16.10/11.36 tff(24960,plain,
% 16.10/11.36 ((~v101(constB171)) | (~v110(constB171))),
% 16.10/11.36 inference(unit_resolution,[status(thm)],[24959, 24958])).
% 16.10/11.36 tff(24961,plain,
% 16.10/11.36 ((~(v100(constB171) <=> (~((~v101(constB171)) | (~v110(constB171)))))) | (~v100(constB171)) | (~((~v101(constB171)) | (~v110(constB171))))),
% 16.10/11.36 inference(tautology,[status(thm)],[])).
% 16.10/11.36 tff(24962,plain,
% 16.10/11.36 (~v100(constB171)),
% 16.10/11.36 inference(unit_resolution,[status(thm)],[24961, 24960, 24946])).
% 16.10/11.36 tff(24963,plain,
% 16.10/11.36 (((~![VarCurr: $i, VarNext: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v90(VarCurr, B))))) | (v100(constB171) | (~nextState(constB170, constB171)) | ![B: $i] : ((~less_3(B)) | (v90(constB171, B) <=> v90(constB170, B))))) <=> ((~![VarCurr: $i, VarNext: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v90(VarCurr, B))))) | v100(constB171) | (~nextState(constB170, constB171)) | ![B: $i] : ((~less_3(B)) | (v90(constB171, B) <=> v90(constB170, B))))),
% 16.10/11.36 inference(rewrite,[status(thm)],[])).
% 16.10/11.36 tff(24964,plain,
% 16.10/11.36 ((~![VarCurr: $i, VarNext: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v90(VarCurr, B))))) | (v100(constB171) | (~nextState(constB170, constB171)) | ![B: $i] : ((~less_3(B)) | (v90(constB171, B) <=> v90(constB170, B))))),
% 16.10/11.36 inference(quant_inst,[status(thm)],[])).
% 16.10/11.36 tff(24965,plain,
% 16.10/11.36 ((~![VarCurr: $i, VarNext: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v90(VarCurr, B))))) | v100(constB171) | (~nextState(constB170, constB171)) | ![B: $i] : ((~less_3(B)) | (v90(constB171, B) <=> v90(constB170, B)))),
% 16.10/11.36 inference(modus_ponens,[status(thm)],[24964, 24963])).
% 16.10/11.36 tff(24966,plain,
% 16.10/11.36 (v100(constB171) | ![B: $i] : ((~less_3(B)) | (v90(constB171, B) <=> v90(constB170, B)))),
% 16.10/11.36 inference(unit_resolution,[status(thm)],[24965, 24942, 479])).
% 16.10/11.36 tff(24967,plain,
% 16.10/11.36 (![B: $i] : ((~less_3(B)) | (v90(constB171, B) <=> v90(constB170, B)))),
% 16.10/11.36 inference(unit_resolution,[status(thm)],[24966, 24962])).
% 16.10/11.36 tff(24968,plain,
% 16.10/11.36 (((~![B: $i] : ((~less_3(B)) | (v90(constB171, B) <=> v90(constB170, B)))) | ((~less_3(bitIndex2)) | (v90(constB171, bitIndex2) <=> v90(constB170, bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v90(constB171, B) <=> v90(constB170, B)))) | (~less_3(bitIndex2)) | (v90(constB171, bitIndex2) <=> v90(constB170, bitIndex2)))),
% 16.10/11.36 inference(rewrite,[status(thm)],[])).
% 16.10/11.36 tff(24969,plain,
% 16.10/11.36 ((~![B: $i] : ((~less_3(B)) | (v90(constB171, B) <=> v90(constB170, B)))) | ((~less_3(bitIndex2)) | (v90(constB171, bitIndex2) <=> v90(constB170, bitIndex2)))),
% 16.10/11.36 inference(quant_inst,[status(thm)],[])).
% 16.10/11.36 tff(24970,plain,
% 16.10/11.36 ((~![B: $i] : ((~less_3(B)) | (v90(constB171, B) <=> v90(constB170, B)))) | (~less_3(bitIndex2)) | (v90(constB171, bitIndex2) <=> v90(constB170, bitIndex2))),
% 16.10/11.36 inference(modus_ponens,[status(thm)],[24969, 24968])).
% 16.10/11.36 tff(24971,plain,
% 16.10/11.36 (v90(constB171, bitIndex2) <=> v90(constB170, bitIndex2)),
% 16.10/11.36 inference(unit_resolution,[status(thm)],[24970, 413, 24967])).
% 16.10/11.36 tff(24972,plain,
% 16.10/11.36 (nextState(constB169, constB170) <=> nextState(constB169, constB170)),
% 16.10/11.36 inference(rewrite,[status(thm)],[])).
% 16.10/11.36 tff(24973,axiom,(nextState(constB169, constB170)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_169')).
% 16.10/11.36 tff(24974,plain,
% 16.10/11.36 (nextState(constB169, constB170)),
% 16.10/11.36 inference(modus_ponens,[status(thm)],[24973, 24972])).
% 16.10/11.36 tff(24975,plain,
% 16.10/11.36 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB169, constB170)) | (v100(constB170) <=> (~((~v101(constB170)) | (~v110(constB170))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB169, constB170)) | (v100(constB170) <=> (~((~v101(constB170)) | (~v110(constB170))))))),
% 16.10/11.36 inference(rewrite,[status(thm)],[])).
% 16.10/11.36 tff(24976,plain,
% 16.10/11.36 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB169, constB170)) | (v100(constB170) <=> (~((~v101(constB170)) | (~v110(constB170))))))),
% 16.10/11.36 inference(quant_inst,[status(thm)],[])).
% 16.10/11.36 tff(24977,plain,
% 16.10/11.36 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB169, constB170)) | (v100(constB170) <=> (~((~v101(constB170)) | (~v110(constB170)))))),
% 16.10/11.36 inference(modus_ponens,[status(thm)],[24976, 24975])).
% 16.10/11.36 tff(24978,plain,
% 16.10/11.36 (v100(constB170) <=> (~((~v101(constB170)) | (~v110(constB170))))),
% 16.10/11.36 inference(unit_resolution,[status(thm)],[24977, 24974, 430])).
% 16.10/11.36 tff(24979,plain,
% 16.10/11.36 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB169, constB170)) | (v101(constB170) <=> (~((~v1(constB170)) | (~v102(constB170))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB169, constB170)) | (v101(constB170) <=> (~((~v1(constB170)) | (~v102(constB170))))))),
% 16.10/11.36 inference(rewrite,[status(thm)],[])).
% 16.10/11.36 tff(24980,plain,
% 16.10/11.36 (((~nextState(constB169, constB170)) | (v101(constB170) <=> (~((~v102(constB170)) | (~v1(constB170)))))) <=> ((~nextState(constB169, constB170)) | (v101(constB170) <=> (~((~v1(constB170)) | (~v102(constB170))))))),
% 16.10/11.36 inference(rewrite,[status(thm)],[])).
% 16.10/11.36 tff(24981,plain,
% 16.10/11.36 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB169, constB170)) | (v101(constB170) <=> (~((~v102(constB170)) | (~v1(constB170))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB169, constB170)) | (v101(constB170) <=> (~((~v1(constB170)) | (~v102(constB170)))))))),
% 16.10/11.36 inference(monotonicity,[status(thm)],[24980])).
% 16.10/11.36 tff(24982,plain,
% 16.10/11.36 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB169, constB170)) | (v101(constB170) <=> (~((~v102(constB170)) | (~v1(constB170))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB169, constB170)) | (v101(constB170) <=> (~((~v1(constB170)) | (~v102(constB170))))))),
% 16.10/11.37 inference(transitivity,[status(thm)],[24981, 24979])).
% 16.10/11.37 tff(24983,plain,
% 16.10/11.37 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB169, constB170)) | (v101(constB170) <=> (~((~v102(constB170)) | (~v1(constB170))))))),
% 16.10/11.37 inference(quant_inst,[status(thm)],[])).
% 16.10/11.37 tff(24984,plain,
% 16.10/11.37 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB169, constB170)) | (v101(constB170) <=> (~((~v1(constB170)) | (~v102(constB170)))))),
% 16.10/11.37 inference(modus_ponens,[status(thm)],[24983, 24982])).
% 16.10/11.37 tff(24985,plain,
% 16.10/11.37 (v101(constB170) <=> (~((~v1(constB170)) | (~v102(constB170))))),
% 16.10/11.37 inference(unit_resolution,[status(thm)],[24984, 24974, 450])).
% 16.10/11.37 tff(24986,plain,
% 16.10/11.37 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | ((~nextState(constB169, constB170)) | ((~v102(constB170)) <=> v104(constB170)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | (~nextState(constB169, constB170)) | ((~v102(constB170)) <=> v104(constB170)))),
% 16.10/11.37 inference(rewrite,[status(thm)],[])).
% 16.10/11.37 tff(24987,plain,
% 16.10/11.37 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | ((~nextState(constB169, constB170)) | ((~v102(constB170)) <=> v104(constB170)))),
% 16.10/11.37 inference(quant_inst,[status(thm)],[])).
% 16.10/11.37 tff(24988,plain,
% 16.10/11.37 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | (~nextState(constB169, constB170)) | ((~v102(constB170)) <=> v104(constB170))),
% 16.10/11.37 inference(modus_ponens,[status(thm)],[24987, 24986])).
% 16.10/11.37 tff(24989,plain,
% 16.10/11.37 ((~v102(constB170)) <=> v104(constB170)),
% 16.10/11.37 inference(unit_resolution,[status(thm)],[24988, 24974, 512])).
% 16.10/11.37 tff(24990,plain,
% 16.10/11.37 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB169, constB170)) | (v104(constB170) <=> v1(constB169)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | (~nextState(constB169, constB170)) | (v104(constB170) <=> v1(constB169)))),
% 16.10/11.37 inference(rewrite,[status(thm)],[])).
% 16.10/11.37 tff(24991,plain,
% 16.10/11.37 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB169, constB170)) | (v104(constB170) <=> v1(constB169)))),
% 16.10/11.37 inference(quant_inst,[status(thm)],[])).
% 16.10/11.37 tff(24992,plain,
% 16.10/11.37 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | (~nextState(constB169, constB170)) | (v104(constB170) <=> v1(constB169))),
% 16.10/11.37 inference(modus_ponens,[status(thm)],[24991, 24990])).
% 16.10/11.37 tff(24993,plain,
% 16.10/11.37 (v104(constB170) <=> v1(constB169)),
% 16.10/11.37 inference(unit_resolution,[status(thm)],[24992, 24974, 526])).
% 16.10/11.37 tff(24994,plain,
% 16.10/11.37 ((~(v104(constB170) <=> v1(constB169))) | (~v104(constB170)) | v1(constB169)),
% 16.10/11.37 inference(tautology,[status(thm)],[])).
% 16.10/11.37 tff(24995,plain,
% 16.10/11.37 ((~(v104(constB170) <=> v1(constB169))) | (~v104(constB170))),
% 16.10/11.37 inference(unit_resolution,[status(thm)],[24994, 20693])).
% 16.10/11.37 tff(24996,plain,
% 16.10/11.37 (~v104(constB170)),
% 16.10/11.37 inference(unit_resolution,[status(thm)],[24995, 24993])).
% 16.10/11.37 tff(24997,plain,
% 16.10/11.37 ((~((~v102(constB170)) <=> v104(constB170))) | v102(constB170) | v104(constB170)),
% 16.10/11.37 inference(tautology,[status(thm)],[])).
% 16.10/11.37 tff(24998,plain,
% 16.10/11.37 (v102(constB170)),
% 16.10/11.37 inference(unit_resolution,[status(thm)],[24997, 24996, 24989])).
% 16.10/11.37 tff(24999,plain,
% 16.10/11.37 (v1(constB170) <=> v1(constB170)),
% 16.10/11.37 inference(rewrite,[status(thm)],[])).
% 16.10/11.37 tff(25000,axiom,(v1(constB170)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_170')).
% 16.10/11.37 tff(25001,plain,
% 16.10/11.37 (v1(constB170)),
% 16.10/11.37 inference(modus_ponens,[status(thm)],[25000, 24999])).
% 16.10/11.37 tff(25002,plain,
% 16.10/11.37 ((~((~v1(constB170)) | (~v102(constB170)))) | (~v1(constB170)) | (~v102(constB170))),
% 16.10/11.37 inference(tautology,[status(thm)],[])).
% 16.10/11.37 tff(25003,plain,
% 16.10/11.37 ((~((~v1(constB170)) | (~v102(constB170)))) | (~v102(constB170))),
% 16.10/11.37 inference(unit_resolution,[status(thm)],[25002, 25001])).
% 16.10/11.37 tff(25004,plain,
% 16.10/11.37 (~((~v1(constB170)) | (~v102(constB170)))),
% 16.10/11.37 inference(unit_resolution,[status(thm)],[25003, 24998])).
% 16.10/11.37 tff(25005,plain,
% 16.10/11.37 ((~(v101(constB170) <=> (~((~v1(constB170)) | (~v102(constB170)))))) | v101(constB170) | ((~v1(constB170)) | (~v102(constB170)))),
% 16.10/11.37 inference(tautology,[status(thm)],[])).
% 16.10/11.37 tff(25006,plain,
% 16.10/11.37 (v101(constB170)),
% 16.10/11.37 inference(unit_resolution,[status(thm)],[25005, 25004, 24985])).
% 16.10/11.37 tff(25007,plain,
% 16.10/11.37 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | ((~nextState(constB169, constB170)) | (v110(constB170) <=> v108(constB169)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | (~nextState(constB169, constB170)) | (v110(constB170) <=> v108(constB169)))),
% 16.10/11.37 inference(rewrite,[status(thm)],[])).
% 16.10/11.37 tff(25008,plain,
% 16.10/11.37 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | ((~nextState(constB169, constB170)) | (v110(constB170) <=> v108(constB169)))),
% 16.10/11.37 inference(quant_inst,[status(thm)],[])).
% 16.10/11.37 tff(25009,plain,
% 16.10/11.37 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | (~nextState(constB169, constB170)) | (v110(constB170) <=> v108(constB169))),
% 16.10/11.37 inference(modus_ponens,[status(thm)],[25008, 25007])).
% 16.10/11.37 tff(25010,plain,
% 16.10/11.37 (v110(constB170) <=> v108(constB169)),
% 16.10/11.37 inference(unit_resolution,[status(thm)],[25009, 24974, 556])).
% 16.10/11.37 tff(25011,plain,
% 16.10/11.37 ((~![VarCurr: $i] : (v108(VarCurr) <=> (v111(VarCurr) | v112(VarCurr)))) | (v108(constB169) <=> (v111(constB169) | v112(constB169)))),
% 16.10/11.37 inference(quant_inst,[status(thm)],[])).
% 16.10/11.37 tff(25012,plain,
% 16.10/11.37 (v108(constB169) <=> (v111(constB169) | v112(constB169))),
% 16.10/11.37 inference(unit_resolution,[status(thm)],[25011, 567])).
% 16.10/11.37 tff(25013,plain,
% 16.10/11.37 ((~![VarCurr: $i] : (v112(VarCurr) <=> (~((~v113(VarCurr)) | (~v126(VarCurr)))))) | (v112(constB169) <=> (~((~v113(constB169)) | (~v126(constB169)))))),
% 16.10/11.37 inference(quant_inst,[status(thm)],[])).
% 16.10/11.37 tff(25014,plain,
% 16.10/11.37 (v112(constB169) <=> (~((~v113(constB169)) | (~v126(constB169))))),
% 16.10/11.37 inference(unit_resolution,[status(thm)],[25013, 579])).
% 16.10/11.37 tff(25015,plain,
% 16.10/11.37 ((~![VarCurr: $i] : (v113(VarCurr) <=> (v114(VarCurr) | v125(VarCurr)))) | (v113(constB169) <=> (v114(constB169) | v125(constB169)))),
% 16.10/11.37 inference(quant_inst,[status(thm)],[])).
% 16.10/11.37 tff(25016,plain,
% 16.10/11.37 (v113(constB169) <=> (v114(constB169) | v125(constB169))),
% 16.10/11.37 inference(unit_resolution,[status(thm)],[25015, 588])).
% 16.10/11.37 tff(25017,plain,
% 16.10/11.37 ((~![VarCurr: $i] : (v114(VarCurr) <=> (v115(VarCurr) | v124(VarCurr)))) | (v114(constB169) <=> (v115(constB169) | v124(constB169)))),
% 16.10/11.37 inference(quant_inst,[status(thm)],[])).
% 16.10/11.37 tff(25018,plain,
% 16.10/11.37 (v114(constB169) <=> (v115(constB169) | v124(constB169))),
% 16.10/11.37 inference(unit_resolution,[status(thm)],[25017, 597])).
% 16.10/11.37 tff(25019,plain,
% 16.10/11.37 ((~![VarCurr: $i] : (v115(VarCurr) <=> (v116(VarCurr) | v123(VarCurr)))) | (v115(constB169) <=> (v116(constB169) | v123(constB169)))),
% 16.10/11.37 inference(quant_inst,[status(thm)],[])).
% 16.10/11.37 tff(25020,plain,
% 16.10/11.37 (v115(constB169) <=> (v116(constB169) | v123(constB169))),
% 16.10/11.37 inference(unit_resolution,[status(thm)],[25019, 606])).
% 16.10/11.37 tff(25021,plain,
% 16.10/11.37 ((~![VarCurr: $i] : (v116(VarCurr) <=> (v117(VarCurr) | v122(VarCurr)))) | (v116(constB169) <=> (v117(constB169) | v122(constB169)))),
% 16.10/11.37 inference(quant_inst,[status(thm)],[])).
% 16.10/11.37 tff(25022,plain,
% 16.10/11.37 (v116(constB169) <=> (v117(constB169) | v122(constB169))),
% 16.10/11.37 inference(unit_resolution,[status(thm)],[25021, 719])).
% 16.10/11.37 tff(25023,plain,
% 16.10/11.37 ((~![VarCurr: $i] : (v117(VarCurr) <=> (v118(VarCurr) | v121(VarCurr)))) | (v117(constB169) <=> (v118(constB169) | v121(constB169)))),
% 16.10/11.37 inference(quant_inst,[status(thm)],[])).
% 16.10/11.37 tff(25024,plain,
% 16.10/11.37 (v117(constB169) <=> (v118(constB169) | v121(constB169))),
% 16.10/11.37 inference(unit_resolution,[status(thm)],[25023, 834])).
% 16.10/11.37 tff(25025,plain,
% 16.10/11.37 (((~![VarCurr: $i] : (v121(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex1)))))) | (v121(constB169) <=> (~(v90(constB169, bitIndex2) | (~v90(constB169, bitIndex1)) | v90(constB169, bitIndex0))))) <=> ((~![VarCurr: $i] : (v121(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex1)))))) | (v121(constB169) <=> (~(v90(constB169, bitIndex2) | (~v90(constB169, bitIndex1)) | v90(constB169, bitIndex0)))))),
% 16.10/11.37 inference(rewrite,[status(thm)],[])).
% 16.10/11.37 tff(25026,plain,
% 16.10/11.37 ((v121(constB169) <=> (~(v90(constB169, bitIndex0) | v90(constB169, bitIndex2) | (~v90(constB169, bitIndex1))))) <=> (v121(constB169) <=> (~(v90(constB169, bitIndex2) | (~v90(constB169, bitIndex1)) | v90(constB169, bitIndex0))))),
% 16.10/11.37 inference(rewrite,[status(thm)],[])).
% 16.10/11.37 tff(25027,plain,
% 16.10/11.37 (((~![VarCurr: $i] : (v121(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex1)))))) | (v121(constB169) <=> (~(v90(constB169, bitIndex0) | v90(constB169, bitIndex2) | (~v90(constB169, bitIndex1)))))) <=> ((~![VarCurr: $i] : (v121(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex1)))))) | (v121(constB169) <=> (~(v90(constB169, bitIndex2) | (~v90(constB169, bitIndex1)) | v90(constB169, bitIndex0)))))),
% 16.10/11.37 inference(monotonicity,[status(thm)],[25026])).
% 16.10/11.37 tff(25028,plain,
% 16.10/11.37 (((~![VarCurr: $i] : (v121(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex1)))))) | (v121(constB169) <=> (~(v90(constB169, bitIndex0) | v90(constB169, bitIndex2) | (~v90(constB169, bitIndex1)))))) <=> ((~![VarCurr: $i] : (v121(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex1)))))) | (v121(constB169) <=> (~(v90(constB169, bitIndex2) | (~v90(constB169, bitIndex1)) | v90(constB169, bitIndex0)))))),
% 16.10/11.37 inference(transitivity,[status(thm)],[25027, 25025])).
% 16.10/11.37 tff(25029,plain,
% 16.10/11.37 ((~![VarCurr: $i] : (v121(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex1)))))) | (v121(constB169) <=> (~(v90(constB169, bitIndex0) | v90(constB169, bitIndex2) | (~v90(constB169, bitIndex1)))))),
% 16.10/11.37 inference(quant_inst,[status(thm)],[])).
% 16.10/11.37 tff(25030,plain,
% 16.10/11.37 ((~![VarCurr: $i] : (v121(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex1)))))) | (v121(constB169) <=> (~(v90(constB169, bitIndex2) | (~v90(constB169, bitIndex1)) | v90(constB169, bitIndex0))))),
% 16.10/11.37 inference(modus_ponens,[status(thm)],[25029, 25028])).
% 16.10/11.37 tff(25031,plain,
% 16.10/11.37 (v121(constB169) <=> (~(v90(constB169, bitIndex2) | (~v90(constB169, bitIndex1)) | v90(constB169, bitIndex0)))),
% 16.10/11.37 inference(unit_resolution,[status(thm)],[25030, 849])).
% 16.10/11.37 tff(25032,plain,
% 16.10/11.37 ((~(v90(constB169, bitIndex2) | (~v90(constB169, bitIndex1)) | v90(constB169, bitIndex0))) | v90(constB169, bitIndex2) | (~v90(constB169, bitIndex1)) | v90(constB169, bitIndex0)),
% 16.10/11.37 inference(tautology,[status(thm)],[])).
% 16.10/11.37 tff(25033,plain,
% 16.10/11.37 (~(v90(constB169, bitIndex2) | (~v90(constB169, bitIndex1)) | v90(constB169, bitIndex0))),
% 16.10/11.37 inference(unit_resolution,[status(thm)],[25032, 23505, 23468, 23431])).
% 16.10/11.37 tff(25034,plain,
% 16.10/11.37 ((~(v121(constB169) <=> (~(v90(constB169, bitIndex2) | (~v90(constB169, bitIndex1)) | v90(constB169, bitIndex0))))) | v121(constB169) | (v90(constB169, bitIndex2) | (~v90(constB169, bitIndex1)) | v90(constB169, bitIndex0))),
% 16.10/11.37 inference(tautology,[status(thm)],[])).
% 16.10/11.37 tff(25035,plain,
% 16.10/11.37 (v121(constB169)),
% 16.10/11.37 inference(unit_resolution,[status(thm)],[25034, 25033, 25031])).
% 16.10/11.37 tff(25036,plain,
% 16.10/11.37 ((v118(constB169) | v121(constB169)) | (~v121(constB169))),
% 16.10/11.37 inference(tautology,[status(thm)],[])).
% 16.10/11.37 tff(25037,plain,
% 16.10/11.37 (v118(constB169) | v121(constB169)),
% 16.10/11.37 inference(unit_resolution,[status(thm)],[25036, 25035])).
% 16.10/11.37 tff(25038,plain,
% 16.10/11.37 ((~(v117(constB169) <=> (v118(constB169) | v121(constB169)))) | v117(constB169) | (~(v118(constB169) | v121(constB169)))),
% 16.10/11.37 inference(tautology,[status(thm)],[])).
% 16.10/11.37 tff(25039,plain,
% 16.10/11.37 (v117(constB169)),
% 16.10/11.37 inference(unit_resolution,[status(thm)],[25038, 25037, 25024])).
% 16.10/11.37 tff(25040,plain,
% 16.10/11.37 ((v117(constB169) | v122(constB169)) | (~v117(constB169))),
% 16.10/11.37 inference(tautology,[status(thm)],[])).
% 16.10/11.37 tff(25041,plain,
% 16.10/11.37 (v117(constB169) | v122(constB169)),
% 16.10/11.37 inference(unit_resolution,[status(thm)],[25040, 25039])).
% 16.10/11.37 tff(25042,plain,
% 16.10/11.37 ((~(v116(constB169) <=> (v117(constB169) | v122(constB169)))) | v116(constB169) | (~(v117(constB169) | v122(constB169)))),
% 16.10/11.37 inference(tautology,[status(thm)],[])).
% 16.10/11.37 tff(25043,plain,
% 16.10/11.37 (v116(constB169)),
% 16.10/11.37 inference(unit_resolution,[status(thm)],[25042, 25041, 25022])).
% 16.10/11.37 tff(25044,plain,
% 16.10/11.37 ((v116(constB169) | v123(constB169)) | (~v116(constB169))),
% 16.10/11.37 inference(tautology,[status(thm)],[])).
% 16.10/11.37 tff(25045,plain,
% 16.10/11.37 (v116(constB169) | v123(constB169)),
% 16.10/11.37 inference(unit_resolution,[status(thm)],[25044, 25043])).
% 16.10/11.37 tff(25046,plain,
% 16.10/11.37 ((~(v115(constB169) <=> (v116(constB169) | v123(constB169)))) | v115(constB169) | (~(v116(constB169) | v123(constB169)))),
% 16.10/11.37 inference(tautology,[status(thm)],[])).
% 16.10/11.37 tff(25047,plain,
% 16.10/11.37 (v115(constB169)),
% 16.10/11.37 inference(unit_resolution,[status(thm)],[25046, 25045, 25020])).
% 16.10/11.37 tff(25048,plain,
% 16.10/11.37 ((v115(constB169) | v124(constB169)) | (~v115(constB169))),
% 16.10/11.37 inference(tautology,[status(thm)],[])).
% 16.10/11.37 tff(25049,plain,
% 16.10/11.37 (v115(constB169) | v124(constB169)),
% 16.10/11.37 inference(unit_resolution,[status(thm)],[25048, 25047])).
% 16.10/11.37 tff(25050,plain,
% 16.10/11.37 ((~(v114(constB169) <=> (v115(constB169) | v124(constB169)))) | v114(constB169) | (~(v115(constB169) | v124(constB169)))),
% 16.10/11.37 inference(tautology,[status(thm)],[])).
% 16.10/11.37 tff(25051,plain,
% 16.10/11.37 (v114(constB169)),
% 16.10/11.37 inference(unit_resolution,[status(thm)],[25050, 25049, 25018])).
% 16.10/11.37 tff(25052,plain,
% 16.10/11.37 ((v114(constB169) | v125(constB169)) | (~v114(constB169))),
% 16.10/11.37 inference(tautology,[status(thm)],[])).
% 16.10/11.37 tff(25053,plain,
% 16.10/11.37 (v114(constB169) | v125(constB169)),
% 16.10/11.37 inference(unit_resolution,[status(thm)],[25052, 25051])).
% 16.10/11.37 tff(25054,plain,
% 16.10/11.37 ((~(v113(constB169) <=> (v114(constB169) | v125(constB169)))) | v113(constB169) | (~(v114(constB169) | v125(constB169)))),
% 16.10/11.37 inference(tautology,[status(thm)],[])).
% 16.10/11.37 tff(25055,plain,
% 16.10/11.37 (v113(constB169)),
% 16.10/11.37 inference(unit_resolution,[status(thm)],[25054, 25053, 25016])).
% 16.10/11.37 tff(25056,plain,
% 16.10/11.37 ((~![VarCurr: $i] : ((~v126(VarCurr)) <=> v111(VarCurr))) | ((~v126(constB169)) <=> v111(constB169))),
% 16.10/11.37 inference(quant_inst,[status(thm)],[])).
% 16.10/11.37 tff(25057,plain,
% 16.10/11.37 ((~v126(constB169)) <=> v111(constB169)),
% 16.10/11.37 inference(unit_resolution,[status(thm)],[25056, 5074])).
% 16.10/11.37 tff(25058,plain,
% 16.10/11.37 ((~![VarCurr: $i] : (v111(VarCurr) <=> v26(VarCurr))) | (v111(constB169) <=> v26(constB169))),
% 16.10/11.37 inference(quant_inst,[status(thm)],[])).
% 16.10/11.37 tff(25059,plain,
% 16.10/11.37 (v111(constB169) <=> v26(constB169)),
% 16.10/11.37 inference(unit_resolution,[status(thm)],[25058, 5086])).
% 16.10/11.37 tff(25060,plain,
% 16.10/11.37 ((~![VarCurr: $i] : (~v26(VarCurr))) | (~v26(constB169))),
% 16.10/11.37 inference(quant_inst,[status(thm)],[])).
% 16.10/11.37 tff(25061,plain,
% 16.10/11.37 (~v26(constB169)),
% 16.10/11.37 inference(unit_resolution,[status(thm)],[25060, 5098])).
% 16.10/11.37 tff(25062,plain,
% 16.10/11.37 ((~(v111(constB169) <=> v26(constB169))) | (~v111(constB169)) | v26(constB169)),
% 16.10/11.37 inference(tautology,[status(thm)],[])).
% 16.10/11.37 tff(25063,plain,
% 16.10/11.37 ((~(v111(constB169) <=> v26(constB169))) | (~v111(constB169))),
% 16.10/11.37 inference(unit_resolution,[status(thm)],[25062, 25061])).
% 16.10/11.37 tff(25064,plain,
% 16.10/11.37 (~v111(constB169)),
% 16.10/11.37 inference(unit_resolution,[status(thm)],[25063, 25059])).
% 16.10/11.37 tff(25065,plain,
% 16.10/11.37 ((~((~v126(constB169)) <=> v111(constB169))) | v126(constB169) | v111(constB169)),
% 16.10/11.37 inference(tautology,[status(thm)],[])).
% 16.10/11.37 tff(25066,plain,
% 16.10/11.37 ((~((~v126(constB169)) <=> v111(constB169))) | v126(constB169)),
% 16.10/11.37 inference(unit_resolution,[status(thm)],[25065, 25064])).
% 16.10/11.37 tff(25067,plain,
% 16.10/11.37 (v126(constB169)),
% 16.10/11.37 inference(unit_resolution,[status(thm)],[25066, 25057])).
% 16.10/11.37 tff(25068,plain,
% 16.10/11.37 ((~((~v113(constB169)) | (~v126(constB169)))) | (~v113(constB169)) | (~v126(constB169))),
% 16.10/11.37 inference(tautology,[status(thm)],[])).
% 16.10/11.37 tff(25069,plain,
% 16.10/11.37 ((~((~v113(constB169)) | (~v126(constB169)))) | (~v113(constB169))),
% 16.10/11.37 inference(unit_resolution,[status(thm)],[25068, 25067])).
% 16.10/11.37 tff(25070,plain,
% 16.10/11.37 (~((~v113(constB169)) | (~v126(constB169)))),
% 16.10/11.37 inference(unit_resolution,[status(thm)],[25069, 25055])).
% 16.10/11.37 tff(25071,plain,
% 16.10/11.37 ((~(v112(constB169) <=> (~((~v113(constB169)) | (~v126(constB169)))))) | v112(constB169) | ((~v113(constB169)) | (~v126(constB169)))),
% 16.10/11.37 inference(tautology,[status(thm)],[])).
% 16.10/11.37 tff(25072,plain,
% 16.10/11.37 (v112(constB169)),
% 16.10/11.37 inference(unit_resolution,[status(thm)],[25071, 25070, 25014])).
% 16.10/11.37 tff(25073,plain,
% 16.10/11.37 ((v111(constB169) | v112(constB169)) | (~v112(constB169))),
% 16.10/11.37 inference(tautology,[status(thm)],[])).
% 16.10/11.37 tff(25074,plain,
% 16.10/11.37 (v111(constB169) | v112(constB169)),
% 16.10/11.37 inference(unit_resolution,[status(thm)],[25073, 25072])).
% 16.10/11.37 tff(25075,plain,
% 16.10/11.37 ((~(v108(constB169) <=> (v111(constB169) | v112(constB169)))) | v108(constB169) | (~(v111(constB169) | v112(constB169)))),
% 16.10/11.37 inference(tautology,[status(thm)],[])).
% 16.10/11.37 tff(25076,plain,
% 16.10/11.37 (v108(constB169)),
% 16.10/11.37 inference(unit_resolution,[status(thm)],[25075, 25074, 25012])).
% 16.10/11.37 tff(25077,plain,
% 16.10/11.37 ((~(v110(constB170) <=> v108(constB169))) | v110(constB170) | (~v108(constB169))),
% 16.10/11.37 inference(tautology,[status(thm)],[])).
% 16.10/11.37 tff(25078,plain,
% 16.10/11.37 (v110(constB170)),
% 16.10/11.37 inference(unit_resolution,[status(thm)],[25077, 25076, 25010])).
% 16.10/11.37 tff(25079,plain,
% 16.10/11.37 ((~((~v101(constB170)) | (~v110(constB170)))) | (~v101(constB170)) | (~v110(constB170))),
% 16.10/11.37 inference(tautology,[status(thm)],[])).
% 16.10/11.37 tff(25080,plain,
% 16.10/11.37 (~((~v101(constB170)) | (~v110(constB170)))),
% 16.10/11.37 inference(unit_resolution,[status(thm)],[25079, 25078, 25006])).
% 16.10/11.37 tff(25081,plain,
% 16.10/11.37 ((~(v100(constB170) <=> (~((~v101(constB170)) | (~v110(constB170)))))) | v100(constB170) | ((~v101(constB170)) | (~v110(constB170)))),
% 16.10/11.37 inference(tautology,[status(thm)],[])).
% 16.10/11.37 tff(25082,plain,
% 16.10/11.37 (v100(constB170)),
% 16.10/11.37 inference(unit_resolution,[status(thm)],[25081, 25080, 24978])).
% 16.10/11.37 tff(25083,plain,
% 16.10/11.37 (((~![VarNext: $i] : ((~v100(VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v129(VarNext, B))))) | ((~v100(constB170)) | ![B: $i] : ((~less_3(B)) | (v90(constB170, B) <=> v129(constB170, B))))) <=> ((~![VarNext: $i] : ((~v100(VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v129(VarNext, B))))) | (~v100(constB170)) | ![B: $i] : ((~less_3(B)) | (v90(constB170, B) <=> v129(constB170, B))))),
% 16.10/11.37 inference(rewrite,[status(thm)],[])).
% 16.10/11.37 tff(25084,plain,
% 16.10/11.37 ((~![VarNext: $i] : ((~v100(VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v129(VarNext, B))))) | ((~v100(constB170)) | ![B: $i] : ((~less_3(B)) | (v90(constB170, B) <=> v129(constB170, B))))),
% 16.10/11.37 inference(quant_inst,[status(thm)],[])).
% 16.10/11.37 tff(25085,plain,
% 16.10/11.37 ((~![VarNext: $i] : ((~v100(VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v129(VarNext, B))))) | (~v100(constB170)) | ![B: $i] : ((~less_3(B)) | (v90(constB170, B) <=> v129(constB170, B)))),
% 16.10/11.37 inference(modus_ponens,[status(thm)],[25084, 25083])).
% 16.10/11.37 tff(25086,plain,
% 16.10/11.37 ((~v100(constB170)) | ![B: $i] : ((~less_3(B)) | (v90(constB170, B) <=> v129(constB170, B)))),
% 16.10/11.37 inference(unit_resolution,[status(thm)],[25085, 5134])).
% 16.10/11.37 tff(25087,plain,
% 16.10/11.37 (![B: $i] : ((~less_3(B)) | (v90(constB170, B) <=> v129(constB170, B)))),
% 16.10/11.37 inference(unit_resolution,[status(thm)],[25086, 25082])).
% 16.10/11.37 tff(25088,plain,
% 16.10/11.37 (((~![B: $i] : ((~less_3(B)) | (v90(constB170, B) <=> v129(constB170, B)))) | ((~less_3(bitIndex2)) | (v90(constB170, bitIndex2) <=> v129(constB170, bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v90(constB170, B) <=> v129(constB170, B)))) | (~less_3(bitIndex2)) | (v90(constB170, bitIndex2) <=> v129(constB170, bitIndex2)))),
% 16.10/11.37 inference(rewrite,[status(thm)],[])).
% 16.10/11.37 tff(25089,plain,
% 16.10/11.37 ((~![B: $i] : ((~less_3(B)) | (v90(constB170, B) <=> v129(constB170, B)))) | ((~less_3(bitIndex2)) | (v90(constB170, bitIndex2) <=> v129(constB170, bitIndex2)))),
% 16.10/11.37 inference(quant_inst,[status(thm)],[])).
% 16.10/11.37 tff(25090,plain,
% 16.10/11.37 ((~![B: $i] : ((~less_3(B)) | (v90(constB170, B) <=> v129(constB170, B)))) | (~less_3(bitIndex2)) | (v90(constB170, bitIndex2) <=> v129(constB170, bitIndex2))),
% 16.10/11.38 inference(modus_ponens,[status(thm)],[25089, 25088])).
% 16.10/11.38 tff(25091,plain,
% 16.10/11.38 (v90(constB170, bitIndex2) <=> v129(constB170, bitIndex2)),
% 16.10/11.38 inference(unit_resolution,[status(thm)],[25090, 413, 25087])).
% 16.10/11.38 tff(25092,plain,
% 16.10/11.38 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v129(VarNext, B) <=> v127(VarCurr, B))))) | ((~nextState(constB169, constB170)) | ![B: $i] : ((~less_3(B)) | (v129(constB170, B) <=> v127(constB169, B))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v129(VarNext, B) <=> v127(VarCurr, B))))) | (~nextState(constB169, constB170)) | ![B: $i] : ((~less_3(B)) | (v129(constB170, B) <=> v127(constB169, B))))),
% 16.10/11.38 inference(rewrite,[status(thm)],[])).
% 16.10/11.38 tff(25093,plain,
% 16.10/11.38 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v129(VarNext, B) <=> v127(VarCurr, B))))) | ((~nextState(constB169, constB170)) | ![B: $i] : ((~less_3(B)) | (v129(constB170, B) <=> v127(constB169, B))))),
% 16.10/11.38 inference(quant_inst,[status(thm)],[])).
% 16.10/11.38 tff(25094,plain,
% 16.10/11.38 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v129(VarNext, B) <=> v127(VarCurr, B))))) | (~nextState(constB169, constB170)) | ![B: $i] : ((~less_3(B)) | (v129(constB170, B) <=> v127(constB169, B)))),
% 16.10/11.38 inference(modus_ponens,[status(thm)],[25093, 25092])).
% 16.10/11.38 tff(25095,plain,
% 16.10/11.38 (![B: $i] : ((~less_3(B)) | (v129(constB170, B) <=> v127(constB169, B)))),
% 16.10/11.38 inference(unit_resolution,[status(thm)],[25094, 24974, 5156])).
% 16.10/11.38 tff(25096,plain,
% 16.10/11.38 (((~![B: $i] : ((~less_3(B)) | (v129(constB170, B) <=> v127(constB169, B)))) | ((~less_3(bitIndex2)) | (v129(constB170, bitIndex2) <=> v127(constB169, bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v129(constB170, B) <=> v127(constB169, B)))) | (~less_3(bitIndex2)) | (v129(constB170, bitIndex2) <=> v127(constB169, bitIndex2)))),
% 16.10/11.38 inference(rewrite,[status(thm)],[])).
% 16.10/11.38 tff(25097,plain,
% 16.10/11.38 ((~![B: $i] : ((~less_3(B)) | (v129(constB170, B) <=> v127(constB169, B)))) | ((~less_3(bitIndex2)) | (v129(constB170, bitIndex2) <=> v127(constB169, bitIndex2)))),
% 16.10/11.38 inference(quant_inst,[status(thm)],[])).
% 16.10/11.38 tff(25098,plain,
% 16.10/11.38 ((~![B: $i] : ((~less_3(B)) | (v129(constB170, B) <=> v127(constB169, B)))) | (~less_3(bitIndex2)) | (v129(constB170, bitIndex2) <=> v127(constB169, bitIndex2))),
% 16.10/11.38 inference(modus_ponens,[status(thm)],[25097, 25096])).
% 16.10/11.38 tff(25099,plain,
% 16.10/11.38 (v129(constB170, bitIndex2) <=> v127(constB169, bitIndex2)),
% 16.10/11.38 inference(unit_resolution,[status(thm)],[25098, 413, 25095])).
% 16.10/11.38 tff(25100,plain,
% 16.10/11.38 (((~![VarCurr: $i] : (v111(VarCurr) | ![B: $i] : ((~less_3(B)) | (v127(VarCurr, B) <=> v130(VarCurr, B))))) | (v111(constB169) | ![B: $i] : ((~less_3(B)) | (v127(constB169, B) <=> v130(constB169, B))))) <=> ((~![VarCurr: $i] : (v111(VarCurr) | ![B: $i] : ((~less_3(B)) | (v127(VarCurr, B) <=> v130(VarCurr, B))))) | v111(constB169) | ![B: $i] : ((~less_3(B)) | (v127(constB169, B) <=> v130(constB169, B))))),
% 16.10/11.38 inference(rewrite,[status(thm)],[])).
% 16.10/11.38 tff(25101,plain,
% 16.10/11.38 ((~![VarCurr: $i] : (v111(VarCurr) | ![B: $i] : ((~less_3(B)) | (v127(VarCurr, B) <=> v130(VarCurr, B))))) | (v111(constB169) | ![B: $i] : ((~less_3(B)) | (v127(constB169, B) <=> v130(constB169, B))))),
% 16.10/11.38 inference(quant_inst,[status(thm)],[])).
% 16.10/11.38 tff(25102,plain,
% 16.10/11.38 ((~![VarCurr: $i] : (v111(VarCurr) | ![B: $i] : ((~less_3(B)) | (v127(VarCurr, B) <=> v130(VarCurr, B))))) | v111(constB169) | ![B: $i] : ((~less_3(B)) | (v127(constB169, B) <=> v130(constB169, B)))),
% 16.10/11.38 inference(modus_ponens,[status(thm)],[25101, 25100])).
% 16.10/11.38 tff(25103,plain,
% 16.10/11.38 (![B: $i] : ((~less_3(B)) | (v127(constB169, B) <=> v130(constB169, B)))),
% 16.10/11.38 inference(unit_resolution,[status(thm)],[25102, 5177, 25064])).
% 16.10/11.38 tff(25104,plain,
% 16.10/11.38 (((~![B: $i] : ((~less_3(B)) | (v127(constB169, B) <=> v130(constB169, B)))) | ((~less_3(bitIndex2)) | (v127(constB169, bitIndex2) <=> v130(constB169, bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v127(constB169, B) <=> v130(constB169, B)))) | (~less_3(bitIndex2)) | (v127(constB169, bitIndex2) <=> v130(constB169, bitIndex2)))),
% 16.18/11.38 inference(rewrite,[status(thm)],[])).
% 16.18/11.38 tff(25105,plain,
% 16.18/11.38 ((~![B: $i] : ((~less_3(B)) | (v127(constB169, B) <=> v130(constB169, B)))) | ((~less_3(bitIndex2)) | (v127(constB169, bitIndex2) <=> v130(constB169, bitIndex2)))),
% 16.18/11.38 inference(quant_inst,[status(thm)],[])).
% 16.18/11.38 tff(25106,plain,
% 16.18/11.38 ((~![B: $i] : ((~less_3(B)) | (v127(constB169, B) <=> v130(constB169, B)))) | (~less_3(bitIndex2)) | (v127(constB169, bitIndex2) <=> v130(constB169, bitIndex2))),
% 16.18/11.38 inference(modus_ponens,[status(thm)],[25105, 25104])).
% 16.18/11.38 tff(25107,plain,
% 16.18/11.38 (v127(constB169, bitIndex2) <=> v130(constB169, bitIndex2)),
% 16.18/11.38 inference(unit_resolution,[status(thm)],[25106, 413, 25103])).
% 16.18/11.38 tff(25108,plain,
% 16.18/11.38 (((~![VarCurr: $i] : ((~v121(VarCurr)) | ![B: $i] : ((~less_3(B)) | (v130(VarCurr, B) <=> b011(B))))) | ((~v121(constB169)) | ![B: $i] : ((~less_3(B)) | (v130(constB169, B) <=> b011(B))))) <=> ((~![VarCurr: $i] : ((~v121(VarCurr)) | ![B: $i] : ((~less_3(B)) | (v130(VarCurr, B) <=> b011(B))))) | (~v121(constB169)) | ![B: $i] : ((~less_3(B)) | (v130(constB169, B) <=> b011(B))))),
% 16.18/11.38 inference(rewrite,[status(thm)],[])).
% 16.18/11.38 tff(25109,plain,
% 16.18/11.38 ((~![VarCurr: $i] : ((~v121(VarCurr)) | ![B: $i] : ((~less_3(B)) | (v130(VarCurr, B) <=> b011(B))))) | ((~v121(constB169)) | ![B: $i] : ((~less_3(B)) | (v130(constB169, B) <=> b011(B))))),
% 16.18/11.38 inference(quant_inst,[status(thm)],[])).
% 16.18/11.38 tff(25110,plain,
% 16.18/11.38 ((~![VarCurr: $i] : ((~v121(VarCurr)) | ![B: $i] : ((~less_3(B)) | (v130(VarCurr, B) <=> b011(B))))) | (~v121(constB169)) | ![B: $i] : ((~less_3(B)) | (v130(constB169, B) <=> b011(B)))),
% 16.18/11.38 inference(modus_ponens,[status(thm)],[25109, 25108])).
% 16.18/11.38 tff(25111,plain,
% 16.18/11.38 ((~v121(constB169)) | ![B: $i] : ((~less_3(B)) | (v130(constB169, B) <=> b011(B)))),
% 16.18/11.38 inference(unit_resolution,[status(thm)],[25110, 5977])).
% 16.18/11.38 tff(25112,plain,
% 16.18/11.38 (![B: $i] : ((~less_3(B)) | (v130(constB169, B) <=> b011(B)))),
% 16.18/11.38 inference(unit_resolution,[status(thm)],[25111, 25035])).
% 16.18/11.38 tff(25113,plain,
% 16.18/11.38 (((~![B: $i] : ((~less_3(B)) | (v130(constB169, B) <=> b011(B)))) | ((~less_3(bitIndex2)) | (v130(constB169, bitIndex2) <=> b011(bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v130(constB169, B) <=> b011(B)))) | (~less_3(bitIndex2)) | (v130(constB169, bitIndex2) <=> b011(bitIndex2)))),
% 16.18/11.38 inference(rewrite,[status(thm)],[])).
% 16.18/11.38 tff(25114,plain,
% 16.18/11.38 ((~![B: $i] : ((~less_3(B)) | (v130(constB169, B) <=> b011(B)))) | ((~less_3(bitIndex2)) | (v130(constB169, bitIndex2) <=> b011(bitIndex2)))),
% 16.18/11.38 inference(quant_inst,[status(thm)],[])).
% 16.18/11.38 tff(25115,plain,
% 16.18/11.38 ((~![B: $i] : ((~less_3(B)) | (v130(constB169, B) <=> b011(B)))) | (~less_3(bitIndex2)) | (v130(constB169, bitIndex2) <=> b011(bitIndex2))),
% 16.18/11.38 inference(modus_ponens,[status(thm)],[25114, 25113])).
% 16.18/11.38 tff(25116,plain,
% 16.18/11.38 (v130(constB169, bitIndex2) <=> b011(bitIndex2)),
% 16.18/11.38 inference(unit_resolution,[status(thm)],[25115, 413, 25112])).
% 16.18/11.38 tff(25117,plain,
% 16.18/11.38 ((~(v130(constB169, bitIndex2) <=> b011(bitIndex2))) | (~v130(constB169, bitIndex2)) | b011(bitIndex2)),
% 16.18/11.38 inference(tautology,[status(thm)],[])).
% 16.18/11.38 tff(25118,plain,
% 16.18/11.38 ((~(v130(constB169, bitIndex2) <=> b011(bitIndex2))) | (~v130(constB169, bitIndex2))),
% 16.18/11.38 inference(unit_resolution,[status(thm)],[25117, 5989])).
% 16.18/11.38 tff(25119,plain,
% 16.18/11.38 (~v130(constB169, bitIndex2)),
% 16.18/11.38 inference(unit_resolution,[status(thm)],[25118, 25116])).
% 16.18/11.38 tff(25120,plain,
% 16.18/11.38 ((~(v127(constB169, bitIndex2) <=> v130(constB169, bitIndex2))) | (~v127(constB169, bitIndex2)) | v130(constB169, bitIndex2)),
% 16.18/11.38 inference(tautology,[status(thm)],[])).
% 16.18/11.38 tff(25121,plain,
% 16.18/11.38 (~v127(constB169, bitIndex2)),
% 16.18/11.38 inference(unit_resolution,[status(thm)],[25120, 25119, 25107])).
% 16.18/11.38 tff(25122,plain,
% 16.18/11.38 ((~(v129(constB170, bitIndex2) <=> v127(constB169, bitIndex2))) | (~v129(constB170, bitIndex2)) | v127(constB169, bitIndex2)),
% 16.18/11.38 inference(tautology,[status(thm)],[])).
% 16.18/11.38 tff(25123,plain,
% 16.18/11.38 (~v129(constB170, bitIndex2)),
% 16.18/11.38 inference(unit_resolution,[status(thm)],[25122, 25121, 25099])).
% 16.18/11.38 tff(25124,plain,
% 16.18/11.38 ((~(v90(constB170, bitIndex2) <=> v129(constB170, bitIndex2))) | (~v90(constB170, bitIndex2)) | v129(constB170, bitIndex2)),
% 16.18/11.38 inference(tautology,[status(thm)],[])).
% 16.18/11.38 tff(25125,plain,
% 16.18/11.38 (~v90(constB170, bitIndex2)),
% 16.18/11.38 inference(unit_resolution,[status(thm)],[25124, 25123, 25091])).
% 16.18/11.38 tff(25126,plain,
% 16.18/11.38 ((~(v90(constB171, bitIndex2) <=> v90(constB170, bitIndex2))) | (~v90(constB171, bitIndex2)) | v90(constB170, bitIndex2)),
% 16.18/11.38 inference(tautology,[status(thm)],[])).
% 16.18/11.38 tff(25127,plain,
% 16.18/11.38 (~v90(constB171, bitIndex2)),
% 16.18/11.38 inference(unit_resolution,[status(thm)],[25126, 25125, 24971])).
% 16.18/11.38 tff(25128,plain,
% 16.18/11.38 (((~![B: $i] : ((~less_3(B)) | (v90(constB171, B) <=> v90(constB170, B)))) | ((~less_3(bitIndex0)) | (v90(constB171, bitIndex0) <=> v90(constB170, bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v90(constB171, B) <=> v90(constB170, B)))) | (~less_3(bitIndex0)) | (v90(constB171, bitIndex0) <=> v90(constB170, bitIndex0)))),
% 16.18/11.38 inference(rewrite,[status(thm)],[])).
% 16.18/11.38 tff(25129,plain,
% 16.18/11.38 ((~![B: $i] : ((~less_3(B)) | (v90(constB171, B) <=> v90(constB170, B)))) | ((~less_3(bitIndex0)) | (v90(constB171, bitIndex0) <=> v90(constB170, bitIndex0)))),
% 16.18/11.38 inference(quant_inst,[status(thm)],[])).
% 16.18/11.38 tff(25130,plain,
% 16.18/11.38 ((~![B: $i] : ((~less_3(B)) | (v90(constB171, B) <=> v90(constB170, B)))) | (~less_3(bitIndex0)) | (v90(constB171, bitIndex0) <=> v90(constB170, bitIndex0))),
% 16.18/11.38 inference(modus_ponens,[status(thm)],[25129, 25128])).
% 16.18/11.38 tff(25131,plain,
% 16.18/11.38 (v90(constB171, bitIndex0) <=> v90(constB170, bitIndex0)),
% 16.18/11.38 inference(unit_resolution,[status(thm)],[25130, 5004, 24967])).
% 16.18/11.38 tff(25132,plain,
% 16.18/11.38 (((~![B: $i] : ((~less_3(B)) | (v90(constB170, B) <=> v129(constB170, B)))) | ((~less_3(bitIndex0)) | (v90(constB170, bitIndex0) <=> v129(constB170, bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v90(constB170, B) <=> v129(constB170, B)))) | (~less_3(bitIndex0)) | (v90(constB170, bitIndex0) <=> v129(constB170, bitIndex0)))),
% 16.18/11.38 inference(rewrite,[status(thm)],[])).
% 16.18/11.38 tff(25133,plain,
% 16.18/11.38 ((~![B: $i] : ((~less_3(B)) | (v90(constB170, B) <=> v129(constB170, B)))) | ((~less_3(bitIndex0)) | (v90(constB170, bitIndex0) <=> v129(constB170, bitIndex0)))),
% 16.18/11.38 inference(quant_inst,[status(thm)],[])).
% 16.18/11.38 tff(25134,plain,
% 16.18/11.38 ((~![B: $i] : ((~less_3(B)) | (v90(constB170, B) <=> v129(constB170, B)))) | (~less_3(bitIndex0)) | (v90(constB170, bitIndex0) <=> v129(constB170, bitIndex0))),
% 16.18/11.38 inference(modus_ponens,[status(thm)],[25133, 25132])).
% 16.18/11.38 tff(25135,plain,
% 16.18/11.38 (v90(constB170, bitIndex0) <=> v129(constB170, bitIndex0)),
% 16.18/11.38 inference(unit_resolution,[status(thm)],[25134, 5004, 25087])).
% 16.18/11.38 tff(25136,plain,
% 16.18/11.38 (((~![B: $i] : ((~less_3(B)) | (v129(constB170, B) <=> v127(constB169, B)))) | ((~less_3(bitIndex0)) | (v129(constB170, bitIndex0) <=> v127(constB169, bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v129(constB170, B) <=> v127(constB169, B)))) | (~less_3(bitIndex0)) | (v129(constB170, bitIndex0) <=> v127(constB169, bitIndex0)))),
% 16.18/11.38 inference(rewrite,[status(thm)],[])).
% 16.18/11.38 tff(25137,plain,
% 16.18/11.38 ((~![B: $i] : ((~less_3(B)) | (v129(constB170, B) <=> v127(constB169, B)))) | ((~less_3(bitIndex0)) | (v129(constB170, bitIndex0) <=> v127(constB169, bitIndex0)))),
% 16.18/11.38 inference(quant_inst,[status(thm)],[])).
% 16.18/11.38 tff(25138,plain,
% 16.18/11.38 ((~![B: $i] : ((~less_3(B)) | (v129(constB170, B) <=> v127(constB169, B)))) | (~less_3(bitIndex0)) | (v129(constB170, bitIndex0) <=> v127(constB169, bitIndex0))),
% 16.18/11.38 inference(modus_ponens,[status(thm)],[25137, 25136])).
% 16.18/11.38 tff(25139,plain,
% 16.18/11.38 (v129(constB170, bitIndex0) <=> v127(constB169, bitIndex0)),
% 16.18/11.38 inference(unit_resolution,[status(thm)],[25138, 5004, 25095])).
% 16.18/11.38 tff(25140,plain,
% 16.18/11.38 (((~![B: $i] : ((~less_3(B)) | (v127(constB169, B) <=> v130(constB169, B)))) | ((~less_3(bitIndex0)) | (v127(constB169, bitIndex0) <=> v130(constB169, bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v127(constB169, B) <=> v130(constB169, B)))) | (~less_3(bitIndex0)) | (v127(constB169, bitIndex0) <=> v130(constB169, bitIndex0)))),
% 16.18/11.38 inference(rewrite,[status(thm)],[])).
% 16.18/11.39 tff(25141,plain,
% 16.18/11.39 ((~![B: $i] : ((~less_3(B)) | (v127(constB169, B) <=> v130(constB169, B)))) | ((~less_3(bitIndex0)) | (v127(constB169, bitIndex0) <=> v130(constB169, bitIndex0)))),
% 16.18/11.39 inference(quant_inst,[status(thm)],[])).
% 16.18/11.39 tff(25142,plain,
% 16.18/11.39 ((~![B: $i] : ((~less_3(B)) | (v127(constB169, B) <=> v130(constB169, B)))) | (~less_3(bitIndex0)) | (v127(constB169, bitIndex0) <=> v130(constB169, bitIndex0))),
% 16.18/11.39 inference(modus_ponens,[status(thm)],[25141, 25140])).
% 16.18/11.39 tff(25143,plain,
% 16.18/11.39 (v127(constB169, bitIndex0) <=> v130(constB169, bitIndex0)),
% 16.18/11.39 inference(unit_resolution,[status(thm)],[25142, 5004, 25103])).
% 16.18/11.39 tff(25144,plain,
% 16.18/11.39 (((~![B: $i] : ((~less_3(B)) | (v130(constB169, B) <=> b011(B)))) | ((~less_3(bitIndex0)) | (v130(constB169, bitIndex0) <=> b011(bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v130(constB169, B) <=> b011(B)))) | (~less_3(bitIndex0)) | (v130(constB169, bitIndex0) <=> b011(bitIndex0)))),
% 16.18/11.39 inference(rewrite,[status(thm)],[])).
% 16.18/11.39 tff(25145,plain,
% 16.18/11.39 ((~![B: $i] : ((~less_3(B)) | (v130(constB169, B) <=> b011(B)))) | ((~less_3(bitIndex0)) | (v130(constB169, bitIndex0) <=> b011(bitIndex0)))),
% 16.18/11.39 inference(quant_inst,[status(thm)],[])).
% 16.18/11.39 tff(25146,plain,
% 16.18/11.39 ((~![B: $i] : ((~less_3(B)) | (v130(constB169, B) <=> b011(B)))) | (~less_3(bitIndex0)) | (v130(constB169, bitIndex0) <=> b011(bitIndex0))),
% 16.18/11.39 inference(modus_ponens,[status(thm)],[25145, 25144])).
% 16.18/11.39 tff(25147,plain,
% 16.18/11.39 (v130(constB169, bitIndex0) <=> b011(bitIndex0)),
% 16.18/11.39 inference(unit_resolution,[status(thm)],[25146, 5004, 25112])).
% 16.18/11.39 tff(25148,plain,
% 16.18/11.39 ((~(v130(constB169, bitIndex0) <=> b011(bitIndex0))) | v130(constB169, bitIndex0) | (~b011(bitIndex0))),
% 16.18/11.39 inference(tautology,[status(thm)],[])).
% 16.18/11.39 tff(25149,plain,
% 16.18/11.39 ((~(v130(constB169, bitIndex0) <=> b011(bitIndex0))) | v130(constB169, bitIndex0)),
% 16.18/11.39 inference(unit_resolution,[status(thm)],[25148, 6023])).
% 16.18/11.39 tff(25150,plain,
% 16.18/11.39 (v130(constB169, bitIndex0)),
% 16.18/11.39 inference(unit_resolution,[status(thm)],[25149, 25147])).
% 16.18/11.39 tff(25151,plain,
% 16.18/11.39 ((~(v127(constB169, bitIndex0) <=> v130(constB169, bitIndex0))) | v127(constB169, bitIndex0) | (~v130(constB169, bitIndex0))),
% 16.18/11.39 inference(tautology,[status(thm)],[])).
% 16.18/11.39 tff(25152,plain,
% 16.18/11.39 (v127(constB169, bitIndex0)),
% 16.18/11.39 inference(unit_resolution,[status(thm)],[25151, 25150, 25143])).
% 16.18/11.39 tff(25153,plain,
% 16.18/11.39 ((~(v129(constB170, bitIndex0) <=> v127(constB169, bitIndex0))) | v129(constB170, bitIndex0) | (~v127(constB169, bitIndex0))),
% 16.18/11.39 inference(tautology,[status(thm)],[])).
% 16.18/11.39 tff(25154,plain,
% 16.18/11.39 (v129(constB170, bitIndex0)),
% 16.18/11.39 inference(unit_resolution,[status(thm)],[25153, 25152, 25139])).
% 16.18/11.39 tff(25155,plain,
% 16.18/11.39 ((~(v90(constB170, bitIndex0) <=> v129(constB170, bitIndex0))) | v90(constB170, bitIndex0) | (~v129(constB170, bitIndex0))),
% 16.18/11.39 inference(tautology,[status(thm)],[])).
% 16.18/11.39 tff(25156,plain,
% 16.18/11.39 (v90(constB170, bitIndex0)),
% 16.18/11.39 inference(unit_resolution,[status(thm)],[25155, 25154, 25135])).
% 16.18/11.39 tff(25157,plain,
% 16.18/11.39 ((~(v90(constB171, bitIndex0) <=> v90(constB170, bitIndex0))) | v90(constB171, bitIndex0) | (~v90(constB170, bitIndex0))),
% 16.18/11.39 inference(tautology,[status(thm)],[])).
% 16.18/11.39 tff(25158,plain,
% 16.18/11.39 (v90(constB171, bitIndex0)),
% 16.18/11.39 inference(unit_resolution,[status(thm)],[25157, 25156, 25131])).
% 16.18/11.39 tff(25159,plain,
% 16.18/11.39 (((~![B: $i] : ((~less_3(B)) | (v90(constB171, B) <=> v90(constB170, B)))) | ((~less_3(bitIndex1)) | (v90(constB171, bitIndex1) <=> v90(constB170, bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v90(constB171, B) <=> v90(constB170, B)))) | (~less_3(bitIndex1)) | (v90(constB171, bitIndex1) <=> v90(constB170, bitIndex1)))),
% 16.18/11.39 inference(rewrite,[status(thm)],[])).
% 16.18/11.39 tff(25160,plain,
% 16.18/11.39 ((~![B: $i] : ((~less_3(B)) | (v90(constB171, B) <=> v90(constB170, B)))) | ((~less_3(bitIndex1)) | (v90(constB171, bitIndex1) <=> v90(constB170, bitIndex1)))),
% 16.18/11.39 inference(quant_inst,[status(thm)],[])).
% 16.18/11.39 tff(25161,plain,
% 16.18/11.39 ((~![B: $i] : ((~less_3(B)) | (v90(constB171, B) <=> v90(constB170, B)))) | (~less_3(bitIndex1)) | (v90(constB171, bitIndex1) <=> v90(constB170, bitIndex1))),
% 16.18/11.39 inference(modus_ponens,[status(thm)],[25160, 25159])).
% 16.18/11.39 tff(25162,plain,
% 16.18/11.39 (v90(constB171, bitIndex1) <=> v90(constB170, bitIndex1)),
% 16.18/11.39 inference(unit_resolution,[status(thm)],[25161, 5017, 24967])).
% 16.18/11.39 tff(25163,plain,
% 16.18/11.39 (((~![B: $i] : ((~less_3(B)) | (v90(constB170, B) <=> v129(constB170, B)))) | ((~less_3(bitIndex1)) | (v90(constB170, bitIndex1) <=> v129(constB170, bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v90(constB170, B) <=> v129(constB170, B)))) | (~less_3(bitIndex1)) | (v90(constB170, bitIndex1) <=> v129(constB170, bitIndex1)))),
% 16.18/11.39 inference(rewrite,[status(thm)],[])).
% 16.18/11.39 tff(25164,plain,
% 16.18/11.39 ((~![B: $i] : ((~less_3(B)) | (v90(constB170, B) <=> v129(constB170, B)))) | ((~less_3(bitIndex1)) | (v90(constB170, bitIndex1) <=> v129(constB170, bitIndex1)))),
% 16.18/11.39 inference(quant_inst,[status(thm)],[])).
% 16.18/11.39 tff(25165,plain,
% 16.18/11.39 ((~![B: $i] : ((~less_3(B)) | (v90(constB170, B) <=> v129(constB170, B)))) | (~less_3(bitIndex1)) | (v90(constB170, bitIndex1) <=> v129(constB170, bitIndex1))),
% 16.18/11.39 inference(modus_ponens,[status(thm)],[25164, 25163])).
% 16.18/11.39 tff(25166,plain,
% 16.18/11.39 (v90(constB170, bitIndex1) <=> v129(constB170, bitIndex1)),
% 16.18/11.39 inference(unit_resolution,[status(thm)],[25165, 5017, 25087])).
% 16.18/11.39 tff(25167,plain,
% 16.18/11.39 (((~![B: $i] : ((~less_3(B)) | (v129(constB170, B) <=> v127(constB169, B)))) | ((~less_3(bitIndex1)) | (v129(constB170, bitIndex1) <=> v127(constB169, bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v129(constB170, B) <=> v127(constB169, B)))) | (~less_3(bitIndex1)) | (v129(constB170, bitIndex1) <=> v127(constB169, bitIndex1)))),
% 16.18/11.39 inference(rewrite,[status(thm)],[])).
% 16.18/11.39 tff(25168,plain,
% 16.18/11.39 ((~![B: $i] : ((~less_3(B)) | (v129(constB170, B) <=> v127(constB169, B)))) | ((~less_3(bitIndex1)) | (v129(constB170, bitIndex1) <=> v127(constB169, bitIndex1)))),
% 16.18/11.39 inference(quant_inst,[status(thm)],[])).
% 16.18/11.39 tff(25169,plain,
% 16.18/11.39 ((~![B: $i] : ((~less_3(B)) | (v129(constB170, B) <=> v127(constB169, B)))) | (~less_3(bitIndex1)) | (v129(constB170, bitIndex1) <=> v127(constB169, bitIndex1))),
% 16.18/11.39 inference(modus_ponens,[status(thm)],[25168, 25167])).
% 16.18/11.39 tff(25170,plain,
% 16.18/11.39 (v129(constB170, bitIndex1) <=> v127(constB169, bitIndex1)),
% 16.18/11.39 inference(unit_resolution,[status(thm)],[25169, 5017, 25095])).
% 16.18/11.39 tff(25171,plain,
% 16.18/11.39 (((~![B: $i] : ((~less_3(B)) | (v127(constB169, B) <=> v130(constB169, B)))) | ((~less_3(bitIndex1)) | (v127(constB169, bitIndex1) <=> v130(constB169, bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v127(constB169, B) <=> v130(constB169, B)))) | (~less_3(bitIndex1)) | (v127(constB169, bitIndex1) <=> v130(constB169, bitIndex1)))),
% 16.18/11.39 inference(rewrite,[status(thm)],[])).
% 16.18/11.39 tff(25172,plain,
% 16.18/11.39 ((~![B: $i] : ((~less_3(B)) | (v127(constB169, B) <=> v130(constB169, B)))) | ((~less_3(bitIndex1)) | (v127(constB169, bitIndex1) <=> v130(constB169, bitIndex1)))),
% 16.18/11.39 inference(quant_inst,[status(thm)],[])).
% 16.18/11.39 tff(25173,plain,
% 16.18/11.39 ((~![B: $i] : ((~less_3(B)) | (v127(constB169, B) <=> v130(constB169, B)))) | (~less_3(bitIndex1)) | (v127(constB169, bitIndex1) <=> v130(constB169, bitIndex1))),
% 16.18/11.39 inference(modus_ponens,[status(thm)],[25172, 25171])).
% 16.18/11.39 tff(25174,plain,
% 16.18/11.39 (v127(constB169, bitIndex1) <=> v130(constB169, bitIndex1)),
% 16.18/11.39 inference(unit_resolution,[status(thm)],[25173, 5017, 25103])).
% 16.18/11.39 tff(25175,plain,
% 16.18/11.39 (((~![B: $i] : ((~less_3(B)) | (v130(constB169, B) <=> b011(B)))) | ((~less_3(bitIndex1)) | (v130(constB169, bitIndex1) <=> b011(bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v130(constB169, B) <=> b011(B)))) | (~less_3(bitIndex1)) | (v130(constB169, bitIndex1) <=> b011(bitIndex1)))),
% 16.18/11.39 inference(rewrite,[status(thm)],[])).
% 16.18/11.39 tff(25176,plain,
% 16.18/11.39 ((~![B: $i] : ((~less_3(B)) | (v130(constB169, B) <=> b011(B)))) | ((~less_3(bitIndex1)) | (v130(constB169, bitIndex1) <=> b011(bitIndex1)))),
% 16.18/11.39 inference(quant_inst,[status(thm)],[])).
% 16.18/11.39 tff(25177,plain,
% 16.18/11.39 ((~![B: $i] : ((~less_3(B)) | (v130(constB169, B) <=> b011(B)))) | (~less_3(bitIndex1)) | (v130(constB169, bitIndex1) <=> b011(bitIndex1))),
% 16.18/11.39 inference(modus_ponens,[status(thm)],[25176, 25175])).
% 16.18/11.39 tff(25178,plain,
% 16.18/11.39 (v130(constB169, bitIndex1) <=> b011(bitIndex1)),
% 16.18/11.39 inference(unit_resolution,[status(thm)],[25177, 5017, 25112])).
% 16.18/11.39 tff(25179,plain,
% 16.18/11.39 ((~(v130(constB169, bitIndex1) <=> b011(bitIndex1))) | v130(constB169, bitIndex1) | (~b011(bitIndex1))),
% 16.18/11.39 inference(tautology,[status(thm)],[])).
% 16.18/11.39 tff(25180,plain,
% 16.18/11.39 ((~(v130(constB169, bitIndex1) <=> b011(bitIndex1))) | v130(constB169, bitIndex1)),
% 16.18/11.39 inference(unit_resolution,[status(thm)],[25179, 6057])).
% 16.18/11.39 tff(25181,plain,
% 16.18/11.39 (v130(constB169, bitIndex1)),
% 16.18/11.39 inference(unit_resolution,[status(thm)],[25180, 25178])).
% 16.18/11.39 tff(25182,plain,
% 16.18/11.39 ((~(v127(constB169, bitIndex1) <=> v130(constB169, bitIndex1))) | v127(constB169, bitIndex1) | (~v130(constB169, bitIndex1))),
% 16.18/11.39 inference(tautology,[status(thm)],[])).
% 16.18/11.39 tff(25183,plain,
% 16.18/11.39 (v127(constB169, bitIndex1)),
% 16.18/11.39 inference(unit_resolution,[status(thm)],[25182, 25181, 25174])).
% 16.18/11.39 tff(25184,plain,
% 16.18/11.39 ((~(v129(constB170, bitIndex1) <=> v127(constB169, bitIndex1))) | v129(constB170, bitIndex1) | (~v127(constB169, bitIndex1))),
% 16.18/11.39 inference(tautology,[status(thm)],[])).
% 16.18/11.39 tff(25185,plain,
% 16.18/11.39 (v129(constB170, bitIndex1)),
% 16.18/11.39 inference(unit_resolution,[status(thm)],[25184, 25183, 25170])).
% 16.18/11.39 tff(25186,plain,
% 16.18/11.39 ((~(v90(constB170, bitIndex1) <=> v129(constB170, bitIndex1))) | v90(constB170, bitIndex1) | (~v129(constB170, bitIndex1))),
% 16.18/11.39 inference(tautology,[status(thm)],[])).
% 16.18/11.39 tff(25187,plain,
% 16.18/11.39 (v90(constB170, bitIndex1)),
% 16.18/11.39 inference(unit_resolution,[status(thm)],[25186, 25185, 25166])).
% 16.18/11.39 tff(25188,plain,
% 16.18/11.39 ((~(v90(constB171, bitIndex1) <=> v90(constB170, bitIndex1))) | v90(constB171, bitIndex1) | (~v90(constB170, bitIndex1))),
% 16.18/11.39 inference(tautology,[status(thm)],[])).
% 16.18/11.39 tff(25189,plain,
% 16.18/11.39 (v90(constB171, bitIndex1)),
% 16.18/11.39 inference(unit_resolution,[status(thm)],[25188, 25187, 25162])).
% 16.18/11.39 tff(25190,plain,
% 16.18/11.39 ((~(v90(constB171, bitIndex2) | (~v90(constB171, bitIndex1)) | (~v90(constB171, bitIndex0)))) | v90(constB171, bitIndex2) | (~v90(constB171, bitIndex1)) | (~v90(constB171, bitIndex0))),
% 16.18/11.39 inference(tautology,[status(thm)],[])).
% 16.18/11.39 tff(25191,plain,
% 16.18/11.39 (~(v90(constB171, bitIndex2) | (~v90(constB171, bitIndex1)) | (~v90(constB171, bitIndex0)))),
% 16.18/11.39 inference(unit_resolution,[status(thm)],[25190, 25189, 25158, 25127])).
% 16.18/11.39 tff(25192,plain,
% 16.18/11.39 ((~(v122(constB171) <=> (~(v90(constB171, bitIndex2) | (~v90(constB171, bitIndex1)) | (~v90(constB171, bitIndex0)))))) | v122(constB171) | (v90(constB171, bitIndex2) | (~v90(constB171, bitIndex1)) | (~v90(constB171, bitIndex0)))),
% 16.18/11.39 inference(tautology,[status(thm)],[])).
% 16.18/11.39 tff(25193,plain,
% 16.18/11.39 (v122(constB171)),
% 16.18/11.39 inference(unit_resolution,[status(thm)],[25192, 25191, 24939])).
% 16.18/11.39 tff(25194,plain,
% 16.18/11.39 ((v117(constB171) | v122(constB171)) | (~v122(constB171))),
% 16.18/11.39 inference(tautology,[status(thm)],[])).
% 16.18/11.39 tff(25195,plain,
% 16.18/11.39 (v117(constB171) | v122(constB171)),
% 16.18/11.39 inference(unit_resolution,[status(thm)],[25194, 25193])).
% 16.18/11.39 tff(25196,plain,
% 16.18/11.39 ((~(v116(constB171) <=> (v117(constB171) | v122(constB171)))) | v116(constB171) | (~(v117(constB171) | v122(constB171)))),
% 16.18/11.39 inference(tautology,[status(thm)],[])).
% 16.18/11.39 tff(25197,plain,
% 16.18/11.39 (v116(constB171)),
% 16.18/11.39 inference(unit_resolution,[status(thm)],[25196, 25195, 24932])).
% 16.18/11.39 tff(25198,plain,
% 16.18/11.39 ((v116(constB171) | v123(constB171)) | (~v116(constB171))),
% 16.18/11.39 inference(tautology,[status(thm)],[])).
% 16.18/11.39 tff(25199,plain,
% 16.18/11.39 (v116(constB171) | v123(constB171)),
% 16.18/11.39 inference(unit_resolution,[status(thm)],[25198, 25197])).
% 16.18/11.39 tff(25200,plain,
% 16.18/11.39 ((~(v115(constB171) <=> (v116(constB171) | v123(constB171)))) | v115(constB171) | (~(v116(constB171) | v123(constB171)))),
% 16.18/11.39 inference(tautology,[status(thm)],[])).
% 16.18/11.39 tff(25201,plain,
% 16.18/11.39 (v115(constB171)),
% 16.18/11.39 inference(unit_resolution,[status(thm)],[25200, 25199, 24930])).
% 16.18/11.39 tff(25202,plain,
% 16.18/11.39 ((v115(constB171) | v124(constB171)) | (~v115(constB171))),
% 16.18/11.39 inference(tautology,[status(thm)],[])).
% 16.18/11.39 tff(25203,plain,
% 16.18/11.39 (v115(constB171) | v124(constB171)),
% 16.18/11.39 inference(unit_resolution,[status(thm)],[25202, 25201])).
% 16.18/11.39 tff(25204,plain,
% 16.18/11.39 ((~(v114(constB171) <=> (v115(constB171) | v124(constB171)))) | v114(constB171) | (~(v115(constB171) | v124(constB171)))),
% 16.18/11.39 inference(tautology,[status(thm)],[])).
% 16.18/11.39 tff(25205,plain,
% 16.18/11.39 (v114(constB171)),
% 16.18/11.39 inference(unit_resolution,[status(thm)],[25204, 25203, 24928])).
% 16.18/11.39 tff(25206,plain,
% 16.18/11.39 ((v114(constB171) | v125(constB171)) | (~v114(constB171))),
% 16.18/11.39 inference(tautology,[status(thm)],[])).
% 16.18/11.39 tff(25207,plain,
% 16.18/11.39 (v114(constB171) | v125(constB171)),
% 16.18/11.39 inference(unit_resolution,[status(thm)],[25206, 25205])).
% 16.18/11.39 tff(25208,plain,
% 16.18/11.39 ((~(v113(constB171) <=> (v114(constB171) | v125(constB171)))) | v113(constB171) | (~(v114(constB171) | v125(constB171)))),
% 16.18/11.39 inference(tautology,[status(thm)],[])).
% 16.18/11.39 tff(25209,plain,
% 16.18/11.39 (v113(constB171)),
% 16.18/11.39 inference(unit_resolution,[status(thm)],[25208, 25207, 24926])).
% 16.18/11.39 tff(25210,plain,
% 16.18/11.39 ((~![VarCurr: $i] : ((~v126(VarCurr)) <=> v111(VarCurr))) | ((~v126(constB171)) <=> v111(constB171))),
% 16.18/11.39 inference(quant_inst,[status(thm)],[])).
% 16.18/11.39 tff(25211,plain,
% 16.18/11.39 ((~v126(constB171)) <=> v111(constB171)),
% 16.18/11.39 inference(unit_resolution,[status(thm)],[25210, 5074])).
% 16.18/11.39 tff(25212,plain,
% 16.18/11.39 ((~![VarCurr: $i] : (v111(VarCurr) <=> v26(VarCurr))) | (v111(constB171) <=> v26(constB171))),
% 16.18/11.39 inference(quant_inst,[status(thm)],[])).
% 16.18/11.39 tff(25213,plain,
% 16.18/11.39 (v111(constB171) <=> v26(constB171)),
% 16.18/11.39 inference(unit_resolution,[status(thm)],[25212, 5086])).
% 16.18/11.39 tff(25214,plain,
% 16.18/11.39 ((~![VarCurr: $i] : (~v26(VarCurr))) | (~v26(constB171))),
% 16.18/11.39 inference(quant_inst,[status(thm)],[])).
% 16.18/11.39 tff(25215,plain,
% 16.18/11.39 (~v26(constB171)),
% 16.18/11.39 inference(unit_resolution,[status(thm)],[25214, 5098])).
% 16.18/11.39 tff(25216,plain,
% 16.18/11.39 ((~(v111(constB171) <=> v26(constB171))) | (~v111(constB171)) | v26(constB171)),
% 16.18/11.39 inference(tautology,[status(thm)],[])).
% 16.18/11.39 tff(25217,plain,
% 16.18/11.39 ((~(v111(constB171) <=> v26(constB171))) | (~v111(constB171))),
% 16.18/11.39 inference(unit_resolution,[status(thm)],[25216, 25215])).
% 16.18/11.39 tff(25218,plain,
% 16.18/11.39 (~v111(constB171)),
% 16.18/11.39 inference(unit_resolution,[status(thm)],[25217, 25213])).
% 16.18/11.39 tff(25219,plain,
% 16.18/11.39 ((~((~v126(constB171)) <=> v111(constB171))) | v126(constB171) | v111(constB171)),
% 16.18/11.39 inference(tautology,[status(thm)],[])).
% 16.18/11.39 tff(25220,plain,
% 16.18/11.39 ((~((~v126(constB171)) <=> v111(constB171))) | v126(constB171)),
% 16.18/11.39 inference(unit_resolution,[status(thm)],[25219, 25218])).
% 16.18/11.39 tff(25221,plain,
% 16.18/11.39 (v126(constB171)),
% 16.18/11.39 inference(unit_resolution,[status(thm)],[25220, 25211])).
% 16.18/11.39 tff(25222,plain,
% 16.18/11.39 ((~((~v113(constB171)) | (~v126(constB171)))) | (~v113(constB171)) | (~v126(constB171))),
% 16.18/11.39 inference(tautology,[status(thm)],[])).
% 16.18/11.39 tff(25223,plain,
% 16.18/11.39 ((~((~v113(constB171)) | (~v126(constB171)))) | (~v113(constB171))),
% 16.18/11.39 inference(unit_resolution,[status(thm)],[25222, 25221])).
% 16.18/11.39 tff(25224,plain,
% 16.18/11.39 (~((~v113(constB171)) | (~v126(constB171)))),
% 16.18/11.39 inference(unit_resolution,[status(thm)],[25223, 25209])).
% 16.18/11.39 tff(25225,plain,
% 16.18/11.39 ((~(v112(constB171) <=> (~((~v113(constB171)) | (~v126(constB171)))))) | v112(constB171) | ((~v113(constB171)) | (~v126(constB171)))),
% 16.18/11.39 inference(tautology,[status(thm)],[])).
% 16.18/11.39 tff(25226,plain,
% 16.18/11.39 (v112(constB171)),
% 16.18/11.39 inference(unit_resolution,[status(thm)],[25225, 25224, 24924])).
% 16.18/11.39 tff(25227,plain,
% 16.18/11.39 ((v111(constB171) | v112(constB171)) | (~v112(constB171))),
% 16.18/11.39 inference(tautology,[status(thm)],[])).
% 16.18/11.39 tff(25228,plain,
% 16.18/11.39 (v111(constB171) | v112(constB171)),
% 16.18/11.39 inference(unit_resolution,[status(thm)],[25227, 25226])).
% 16.18/11.39 tff(25229,plain,
% 16.18/11.39 ((~(v108(constB171) <=> (v111(constB171) | v112(constB171)))) | v108(constB171) | (~(v111(constB171) | v112(constB171)))),
% 16.18/11.39 inference(tautology,[status(thm)],[])).
% 16.18/11.39 tff(25230,plain,
% 16.18/11.39 (v108(constB171)),
% 16.18/11.39 inference(unit_resolution,[status(thm)],[25229, 25228, 24922])).
% 16.18/11.39 tff(25231,plain,
% 16.18/11.39 ((~(v110(constB172) <=> v108(constB171))) | v110(constB172) | (~v108(constB171))),
% 16.18/11.39 inference(tautology,[status(thm)],[])).
% 16.18/11.39 tff(25232,plain,
% 16.18/11.39 (v110(constB172)),
% 16.18/11.39 inference(unit_resolution,[status(thm)],[25231, 25230, 24920])).
% 16.18/11.39 tff(25233,plain,
% 16.18/11.39 ((~((~v101(constB172)) | (~v110(constB172)))) | (~v101(constB172)) | (~v110(constB172))),
% 16.18/11.39 inference(tautology,[status(thm)],[])).
% 16.18/11.39 tff(25234,plain,
% 16.18/11.39 (~((~v101(constB172)) | (~v110(constB172)))),
% 16.18/11.39 inference(unit_resolution,[status(thm)],[25233, 25232, 24916])).
% 16.18/11.39 tff(25235,plain,
% 16.18/11.39 ((~(v100(constB172) <=> (~((~v101(constB172)) | (~v110(constB172)))))) | v100(constB172) | ((~v101(constB172)) | (~v110(constB172)))),
% 16.18/11.40 inference(tautology,[status(thm)],[])).
% 16.18/11.40 tff(25236,plain,
% 16.18/11.40 (v100(constB172)),
% 16.18/11.40 inference(unit_resolution,[status(thm)],[25235, 25234, 24885])).
% 16.18/11.40 tff(25237,plain,
% 16.18/11.40 (((~![VarNext: $i] : ((~v100(VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v129(VarNext, B))))) | ((~v100(constB172)) | ![B: $i] : ((~less_3(B)) | (v90(constB172, B) <=> v129(constB172, B))))) <=> ((~![VarNext: $i] : ((~v100(VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v129(VarNext, B))))) | (~v100(constB172)) | ![B: $i] : ((~less_3(B)) | (v90(constB172, B) <=> v129(constB172, B))))),
% 16.18/11.40 inference(rewrite,[status(thm)],[])).
% 16.18/11.40 tff(25238,plain,
% 16.18/11.40 ((~![VarNext: $i] : ((~v100(VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v129(VarNext, B))))) | ((~v100(constB172)) | ![B: $i] : ((~less_3(B)) | (v90(constB172, B) <=> v129(constB172, B))))),
% 16.18/11.40 inference(quant_inst,[status(thm)],[])).
% 16.18/11.40 tff(25239,plain,
% 16.18/11.40 ((~![VarNext: $i] : ((~v100(VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v129(VarNext, B))))) | (~v100(constB172)) | ![B: $i] : ((~less_3(B)) | (v90(constB172, B) <=> v129(constB172, B)))),
% 16.18/11.40 inference(modus_ponens,[status(thm)],[25238, 25237])).
% 16.18/11.40 tff(25240,plain,
% 16.18/11.40 ((~v100(constB172)) | ![B: $i] : ((~less_3(B)) | (v90(constB172, B) <=> v129(constB172, B)))),
% 16.18/11.40 inference(unit_resolution,[status(thm)],[25239, 5134])).
% 16.18/11.40 tff(25241,plain,
% 16.18/11.40 (![B: $i] : ((~less_3(B)) | (v90(constB172, B) <=> v129(constB172, B)))),
% 16.18/11.40 inference(unit_resolution,[status(thm)],[25240, 25236])).
% 16.18/11.40 tff(25242,plain,
% 16.18/11.40 (((~![B: $i] : ((~less_3(B)) | (v90(constB172, B) <=> v129(constB172, B)))) | ((~less_3(bitIndex2)) | (v90(constB172, bitIndex2) <=> v129(constB172, bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v90(constB172, B) <=> v129(constB172, B)))) | (~less_3(bitIndex2)) | (v90(constB172, bitIndex2) <=> v129(constB172, bitIndex2)))),
% 16.18/11.40 inference(rewrite,[status(thm)],[])).
% 16.18/11.40 tff(25243,plain,
% 16.18/11.40 ((~![B: $i] : ((~less_3(B)) | (v90(constB172, B) <=> v129(constB172, B)))) | ((~less_3(bitIndex2)) | (v90(constB172, bitIndex2) <=> v129(constB172, bitIndex2)))),
% 16.18/11.40 inference(quant_inst,[status(thm)],[])).
% 16.18/11.40 tff(25244,plain,
% 16.18/11.40 ((~![B: $i] : ((~less_3(B)) | (v90(constB172, B) <=> v129(constB172, B)))) | (~less_3(bitIndex2)) | (v90(constB172, bitIndex2) <=> v129(constB172, bitIndex2))),
% 16.18/11.40 inference(modus_ponens,[status(thm)],[25243, 25242])).
% 16.18/11.40 tff(25245,plain,
% 16.18/11.40 (v90(constB172, bitIndex2) <=> v129(constB172, bitIndex2)),
% 16.18/11.40 inference(unit_resolution,[status(thm)],[25244, 413, 25241])).
% 16.18/11.40 tff(25246,plain,
% 16.18/11.40 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v129(VarNext, B) <=> v127(VarCurr, B))))) | ((~nextState(constB171, constB172)) | ![B: $i] : ((~less_3(B)) | (v129(constB172, B) <=> v127(constB171, B))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v129(VarNext, B) <=> v127(VarCurr, B))))) | (~nextState(constB171, constB172)) | ![B: $i] : ((~less_3(B)) | (v129(constB172, B) <=> v127(constB171, B))))),
% 16.18/11.40 inference(rewrite,[status(thm)],[])).
% 16.18/11.40 tff(25247,plain,
% 16.18/11.40 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v129(VarNext, B) <=> v127(VarCurr, B))))) | ((~nextState(constB171, constB172)) | ![B: $i] : ((~less_3(B)) | (v129(constB172, B) <=> v127(constB171, B))))),
% 16.18/11.40 inference(quant_inst,[status(thm)],[])).
% 16.18/11.40 tff(25248,plain,
% 16.18/11.40 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v129(VarNext, B) <=> v127(VarCurr, B))))) | (~nextState(constB171, constB172)) | ![B: $i] : ((~less_3(B)) | (v129(constB172, B) <=> v127(constB171, B)))),
% 16.18/11.40 inference(modus_ponens,[status(thm)],[25247, 25246])).
% 16.18/11.40 tff(25249,plain,
% 16.18/11.40 (![B: $i] : ((~less_3(B)) | (v129(constB172, B) <=> v127(constB171, B)))),
% 16.18/11.40 inference(unit_resolution,[status(thm)],[25248, 24881, 5156])).
% 16.18/11.40 tff(25250,plain,
% 16.18/11.40 (((~![B: $i] : ((~less_3(B)) | (v129(constB172, B) <=> v127(constB171, B)))) | ((~less_3(bitIndex2)) | (v129(constB172, bitIndex2) <=> v127(constB171, bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v129(constB172, B) <=> v127(constB171, B)))) | (~less_3(bitIndex2)) | (v129(constB172, bitIndex2) <=> v127(constB171, bitIndex2)))),
% 16.18/11.40 inference(rewrite,[status(thm)],[])).
% 16.18/11.40 tff(25251,plain,
% 16.18/11.40 ((~![B: $i] : ((~less_3(B)) | (v129(constB172, B) <=> v127(constB171, B)))) | ((~less_3(bitIndex2)) | (v129(constB172, bitIndex2) <=> v127(constB171, bitIndex2)))),
% 16.18/11.40 inference(quant_inst,[status(thm)],[])).
% 16.18/11.40 tff(25252,plain,
% 16.18/11.40 ((~![B: $i] : ((~less_3(B)) | (v129(constB172, B) <=> v127(constB171, B)))) | (~less_3(bitIndex2)) | (v129(constB172, bitIndex2) <=> v127(constB171, bitIndex2))),
% 16.18/11.40 inference(modus_ponens,[status(thm)],[25251, 25250])).
% 16.18/11.40 tff(25253,plain,
% 16.18/11.40 (v129(constB172, bitIndex2) <=> v127(constB171, bitIndex2)),
% 16.18/11.40 inference(unit_resolution,[status(thm)],[25252, 413, 25249])).
% 16.18/11.40 tff(25254,plain,
% 16.18/11.40 (((~![VarCurr: $i] : (v111(VarCurr) | ![B: $i] : ((~less_3(B)) | (v127(VarCurr, B) <=> v130(VarCurr, B))))) | (v111(constB171) | ![B: $i] : ((~less_3(B)) | (v127(constB171, B) <=> v130(constB171, B))))) <=> ((~![VarCurr: $i] : (v111(VarCurr) | ![B: $i] : ((~less_3(B)) | (v127(VarCurr, B) <=> v130(VarCurr, B))))) | v111(constB171) | ![B: $i] : ((~less_3(B)) | (v127(constB171, B) <=> v130(constB171, B))))),
% 16.18/11.40 inference(rewrite,[status(thm)],[])).
% 16.18/11.40 tff(25255,plain,
% 16.18/11.40 ((~![VarCurr: $i] : (v111(VarCurr) | ![B: $i] : ((~less_3(B)) | (v127(VarCurr, B) <=> v130(VarCurr, B))))) | (v111(constB171) | ![B: $i] : ((~less_3(B)) | (v127(constB171, B) <=> v130(constB171, B))))),
% 16.18/11.40 inference(quant_inst,[status(thm)],[])).
% 16.18/11.40 tff(25256,plain,
% 16.18/11.40 ((~![VarCurr: $i] : (v111(VarCurr) | ![B: $i] : ((~less_3(B)) | (v127(VarCurr, B) <=> v130(VarCurr, B))))) | v111(constB171) | ![B: $i] : ((~less_3(B)) | (v127(constB171, B) <=> v130(constB171, B)))),
% 16.18/11.40 inference(modus_ponens,[status(thm)],[25255, 25254])).
% 16.18/11.40 tff(25257,plain,
% 16.18/11.40 (![B: $i] : ((~less_3(B)) | (v127(constB171, B) <=> v130(constB171, B)))),
% 16.18/11.40 inference(unit_resolution,[status(thm)],[25256, 5177, 25218])).
% 16.18/11.40 tff(25258,plain,
% 16.18/11.40 (((~![B: $i] : ((~less_3(B)) | (v127(constB171, B) <=> v130(constB171, B)))) | ((~less_3(bitIndex2)) | (v127(constB171, bitIndex2) <=> v130(constB171, bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v127(constB171, B) <=> v130(constB171, B)))) | (~less_3(bitIndex2)) | (v127(constB171, bitIndex2) <=> v130(constB171, bitIndex2)))),
% 16.18/11.40 inference(rewrite,[status(thm)],[])).
% 16.18/11.40 tff(25259,plain,
% 16.18/11.40 ((~![B: $i] : ((~less_3(B)) | (v127(constB171, B) <=> v130(constB171, B)))) | ((~less_3(bitIndex2)) | (v127(constB171, bitIndex2) <=> v130(constB171, bitIndex2)))),
% 16.18/11.40 inference(quant_inst,[status(thm)],[])).
% 16.18/11.40 tff(25260,plain,
% 16.18/11.40 ((~![B: $i] : ((~less_3(B)) | (v127(constB171, B) <=> v130(constB171, B)))) | (~less_3(bitIndex2)) | (v127(constB171, bitIndex2) <=> v130(constB171, bitIndex2))),
% 16.18/11.40 inference(modus_ponens,[status(thm)],[25259, 25258])).
% 16.18/11.40 tff(25261,plain,
% 16.18/11.40 (v127(constB171, bitIndex2) <=> v130(constB171, bitIndex2)),
% 16.18/11.40 inference(unit_resolution,[status(thm)],[25260, 413, 25257])).
% 16.18/11.40 tff(25262,plain,
% 16.18/11.40 (((~![VarCurr: $i] : ((~v122(VarCurr)) | ![B: $i] : ((~less_3(B)) | (v130(VarCurr, B) <=> b100(B))))) | ((~v122(constB171)) | ![B: $i] : ((~less_3(B)) | (v130(constB171, B) <=> b100(B))))) <=> ((~![VarCurr: $i] : ((~v122(VarCurr)) | ![B: $i] : ((~less_3(B)) | (v130(VarCurr, B) <=> b100(B))))) | (~v122(constB171)) | ![B: $i] : ((~less_3(B)) | (v130(constB171, B) <=> b100(B))))),
% 16.18/11.40 inference(rewrite,[status(thm)],[])).
% 16.18/11.40 tff(25263,plain,
% 16.18/11.40 ((~![VarCurr: $i] : ((~v122(VarCurr)) | ![B: $i] : ((~less_3(B)) | (v130(VarCurr, B) <=> b100(B))))) | ((~v122(constB171)) | ![B: $i] : ((~less_3(B)) | (v130(constB171, B) <=> b100(B))))),
% 16.18/11.40 inference(quant_inst,[status(thm)],[])).
% 16.18/11.40 tff(25264,plain,
% 16.18/11.40 ((~![VarCurr: $i] : ((~v122(VarCurr)) | ![B: $i] : ((~less_3(B)) | (v130(VarCurr, B) <=> b100(B))))) | (~v122(constB171)) | ![B: $i] : ((~less_3(B)) | (v130(constB171, B) <=> b100(B)))),
% 16.18/11.40 inference(modus_ponens,[status(thm)],[25263, 25262])).
% 16.18/11.40 tff(25265,plain,
% 16.18/11.40 ((~v122(constB171)) | ![B: $i] : ((~less_3(B)) | (v130(constB171, B) <=> b100(B)))),
% 16.18/11.40 inference(unit_resolution,[status(thm)],[25264, 6153])).
% 16.18/11.40 tff(25266,plain,
% 16.18/11.40 (![B: $i] : ((~less_3(B)) | (v130(constB171, B) <=> b100(B)))),
% 16.18/11.40 inference(unit_resolution,[status(thm)],[25265, 25193])).
% 16.18/11.40 tff(25267,plain,
% 16.18/11.40 (((~![B: $i] : ((~less_3(B)) | (v130(constB171, B) <=> b100(B)))) | ((~less_3(bitIndex2)) | (v130(constB171, bitIndex2) <=> b100(bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v130(constB171, B) <=> b100(B)))) | (~less_3(bitIndex2)) | (v130(constB171, bitIndex2) <=> b100(bitIndex2)))),
% 16.18/11.40 inference(rewrite,[status(thm)],[])).
% 16.18/11.40 tff(25268,plain,
% 16.18/11.40 ((~![B: $i] : ((~less_3(B)) | (v130(constB171, B) <=> b100(B)))) | ((~less_3(bitIndex2)) | (v130(constB171, bitIndex2) <=> b100(bitIndex2)))),
% 16.18/11.40 inference(quant_inst,[status(thm)],[])).
% 16.18/11.40 tff(25269,plain,
% 16.18/11.40 ((~![B: $i] : ((~less_3(B)) | (v130(constB171, B) <=> b100(B)))) | (~less_3(bitIndex2)) | (v130(constB171, bitIndex2) <=> b100(bitIndex2))),
% 16.18/11.40 inference(modus_ponens,[status(thm)],[25268, 25267])).
% 16.18/11.40 tff(25270,plain,
% 16.18/11.40 (v130(constB171, bitIndex2) <=> b100(bitIndex2)),
% 16.18/11.40 inference(unit_resolution,[status(thm)],[25269, 413, 25266])).
% 16.18/11.40 tff(25271,plain,
% 16.18/11.40 ((~(v130(constB171, bitIndex2) <=> b100(bitIndex2))) | v130(constB171, bitIndex2) | (~b100(bitIndex2))),
% 16.18/11.40 inference(tautology,[status(thm)],[])).
% 16.18/11.40 tff(25272,plain,
% 16.18/11.40 ((~(v130(constB171, bitIndex2) <=> b100(bitIndex2))) | v130(constB171, bitIndex2)),
% 16.18/11.40 inference(unit_resolution,[status(thm)],[25271, 5209])).
% 16.18/11.40 tff(25273,plain,
% 16.18/11.40 (v130(constB171, bitIndex2)),
% 16.18/11.40 inference(unit_resolution,[status(thm)],[25272, 25270])).
% 16.18/11.40 tff(25274,plain,
% 16.18/11.40 ((~(v127(constB171, bitIndex2) <=> v130(constB171, bitIndex2))) | v127(constB171, bitIndex2) | (~v130(constB171, bitIndex2))),
% 16.18/11.40 inference(tautology,[status(thm)],[])).
% 16.18/11.40 tff(25275,plain,
% 16.18/11.40 (v127(constB171, bitIndex2)),
% 16.18/11.40 inference(unit_resolution,[status(thm)],[25274, 25273, 25261])).
% 16.18/11.40 tff(25276,plain,
% 16.18/11.40 ((~(v129(constB172, bitIndex2) <=> v127(constB171, bitIndex2))) | v129(constB172, bitIndex2) | (~v127(constB171, bitIndex2))),
% 16.18/11.40 inference(tautology,[status(thm)],[])).
% 16.18/11.40 tff(25277,plain,
% 16.18/11.40 (v129(constB172, bitIndex2)),
% 16.18/11.40 inference(unit_resolution,[status(thm)],[25276, 25275, 25253])).
% 16.18/11.40 tff(25278,plain,
% 16.18/11.40 ((~(v90(constB172, bitIndex2) <=> v129(constB172, bitIndex2))) | v90(constB172, bitIndex2) | (~v129(constB172, bitIndex2))),
% 16.18/11.40 inference(tautology,[status(thm)],[])).
% 16.18/11.40 tff(25279,plain,
% 16.18/11.40 (v90(constB172, bitIndex2)),
% 16.18/11.40 inference(unit_resolution,[status(thm)],[25278, 25277, 25245])).
% 16.18/11.40 tff(25280,plain,
% 16.18/11.40 ((~(v90(constB173, bitIndex2) <=> v90(constB172, bitIndex2))) | v90(constB173, bitIndex2) | (~v90(constB172, bitIndex2))),
% 16.18/11.40 inference(tautology,[status(thm)],[])).
% 16.18/11.40 tff(25281,plain,
% 16.18/11.40 (v90(constB173, bitIndex2)),
% 16.18/11.40 inference(unit_resolution,[status(thm)],[25280, 25279, 24878])).
% 16.18/11.40 tff(25282,plain,
% 16.18/11.40 (((~![B: $i] : ((~less_3(B)) | (v90(constB173, B) <=> v90(constB172, B)))) | ((~less_3(bitIndex0)) | (v90(constB173, bitIndex0) <=> v90(constB172, bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v90(constB173, B) <=> v90(constB172, B)))) | (~less_3(bitIndex0)) | (v90(constB173, bitIndex0) <=> v90(constB172, bitIndex0)))),
% 16.18/11.40 inference(rewrite,[status(thm)],[])).
% 16.18/11.40 tff(25283,plain,
% 16.18/11.40 ((~![B: $i] : ((~less_3(B)) | (v90(constB173, B) <=> v90(constB172, B)))) | ((~less_3(bitIndex0)) | (v90(constB173, bitIndex0) <=> v90(constB172, bitIndex0)))),
% 16.18/11.40 inference(quant_inst,[status(thm)],[])).
% 16.18/11.40 tff(25284,plain,
% 16.18/11.40 ((~![B: $i] : ((~less_3(B)) | (v90(constB173, B) <=> v90(constB172, B)))) | (~less_3(bitIndex0)) | (v90(constB173, bitIndex0) <=> v90(constB172, bitIndex0))),
% 16.18/11.40 inference(modus_ponens,[status(thm)],[25283, 25282])).
% 16.18/11.40 tff(25285,plain,
% 16.18/11.40 (v90(constB173, bitIndex0) <=> v90(constB172, bitIndex0)),
% 16.18/11.40 inference(unit_resolution,[status(thm)],[25284, 5004, 24874])).
% 16.18/11.40 tff(25286,plain,
% 16.18/11.40 (((~![B: $i] : ((~less_3(B)) | (v90(constB172, B) <=> v129(constB172, B)))) | ((~less_3(bitIndex0)) | (v90(constB172, bitIndex0) <=> v129(constB172, bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v90(constB172, B) <=> v129(constB172, B)))) | (~less_3(bitIndex0)) | (v90(constB172, bitIndex0) <=> v129(constB172, bitIndex0)))),
% 16.18/11.40 inference(rewrite,[status(thm)],[])).
% 16.18/11.40 tff(25287,plain,
% 16.18/11.40 ((~![B: $i] : ((~less_3(B)) | (v90(constB172, B) <=> v129(constB172, B)))) | ((~less_3(bitIndex0)) | (v90(constB172, bitIndex0) <=> v129(constB172, bitIndex0)))),
% 16.18/11.40 inference(quant_inst,[status(thm)],[])).
% 16.18/11.40 tff(25288,plain,
% 16.18/11.40 ((~![B: $i] : ((~less_3(B)) | (v90(constB172, B) <=> v129(constB172, B)))) | (~less_3(bitIndex0)) | (v90(constB172, bitIndex0) <=> v129(constB172, bitIndex0))),
% 16.18/11.40 inference(modus_ponens,[status(thm)],[25287, 25286])).
% 16.18/11.40 tff(25289,plain,
% 16.18/11.40 (v90(constB172, bitIndex0) <=> v129(constB172, bitIndex0)),
% 16.18/11.40 inference(unit_resolution,[status(thm)],[25288, 5004, 25241])).
% 16.18/11.40 tff(25290,plain,
% 16.18/11.40 (((~![B: $i] : ((~less_3(B)) | (v129(constB172, B) <=> v127(constB171, B)))) | ((~less_3(bitIndex0)) | (v129(constB172, bitIndex0) <=> v127(constB171, bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v129(constB172, B) <=> v127(constB171, B)))) | (~less_3(bitIndex0)) | (v129(constB172, bitIndex0) <=> v127(constB171, bitIndex0)))),
% 16.18/11.40 inference(rewrite,[status(thm)],[])).
% 16.18/11.40 tff(25291,plain,
% 16.18/11.40 ((~![B: $i] : ((~less_3(B)) | (v129(constB172, B) <=> v127(constB171, B)))) | ((~less_3(bitIndex0)) | (v129(constB172, bitIndex0) <=> v127(constB171, bitIndex0)))),
% 16.18/11.40 inference(quant_inst,[status(thm)],[])).
% 16.18/11.40 tff(25292,plain,
% 16.18/11.40 ((~![B: $i] : ((~less_3(B)) | (v129(constB172, B) <=> v127(constB171, B)))) | (~less_3(bitIndex0)) | (v129(constB172, bitIndex0) <=> v127(constB171, bitIndex0))),
% 16.18/11.40 inference(modus_ponens,[status(thm)],[25291, 25290])).
% 16.18/11.40 tff(25293,plain,
% 16.18/11.40 (v129(constB172, bitIndex0) <=> v127(constB171, bitIndex0)),
% 16.18/11.40 inference(unit_resolution,[status(thm)],[25292, 5004, 25249])).
% 16.18/11.40 tff(25294,plain,
% 16.18/11.40 (((~![B: $i] : ((~less_3(B)) | (v127(constB171, B) <=> v130(constB171, B)))) | ((~less_3(bitIndex0)) | (v127(constB171, bitIndex0) <=> v130(constB171, bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v127(constB171, B) <=> v130(constB171, B)))) | (~less_3(bitIndex0)) | (v127(constB171, bitIndex0) <=> v130(constB171, bitIndex0)))),
% 16.18/11.40 inference(rewrite,[status(thm)],[])).
% 16.18/11.40 tff(25295,plain,
% 16.18/11.40 ((~![B: $i] : ((~less_3(B)) | (v127(constB171, B) <=> v130(constB171, B)))) | ((~less_3(bitIndex0)) | (v127(constB171, bitIndex0) <=> v130(constB171, bitIndex0)))),
% 16.18/11.40 inference(quant_inst,[status(thm)],[])).
% 16.18/11.40 tff(25296,plain,
% 16.18/11.40 ((~![B: $i] : ((~less_3(B)) | (v127(constB171, B) <=> v130(constB171, B)))) | (~less_3(bitIndex0)) | (v127(constB171, bitIndex0) <=> v130(constB171, bitIndex0))),
% 16.18/11.40 inference(modus_ponens,[status(thm)],[25295, 25294])).
% 16.18/11.40 tff(25297,plain,
% 16.18/11.40 (v127(constB171, bitIndex0) <=> v130(constB171, bitIndex0)),
% 16.18/11.40 inference(unit_resolution,[status(thm)],[25296, 5004, 25257])).
% 16.18/11.40 tff(25298,plain,
% 16.18/11.40 (((~![B: $i] : ((~less_3(B)) | (v130(constB171, B) <=> b100(B)))) | ((~less_3(bitIndex0)) | (v130(constB171, bitIndex0) <=> b100(bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v130(constB171, B) <=> b100(B)))) | (~less_3(bitIndex0)) | (v130(constB171, bitIndex0) <=> b100(bitIndex0)))),
% 16.18/11.40 inference(rewrite,[status(thm)],[])).
% 16.18/11.40 tff(25299,plain,
% 16.18/11.40 ((~![B: $i] : ((~less_3(B)) | (v130(constB171, B) <=> b100(B)))) | ((~less_3(bitIndex0)) | (v130(constB171, bitIndex0) <=> b100(bitIndex0)))),
% 16.18/11.40 inference(quant_inst,[status(thm)],[])).
% 16.18/11.40 tff(25300,plain,
% 16.18/11.40 ((~![B: $i] : ((~less_3(B)) | (v130(constB171, B) <=> b100(B)))) | (~less_3(bitIndex0)) | (v130(constB171, bitIndex0) <=> b100(bitIndex0))),
% 16.18/11.40 inference(modus_ponens,[status(thm)],[25299, 25298])).
% 16.18/11.40 tff(25301,plain,
% 16.18/11.40 (v130(constB171, bitIndex0) <=> b100(bitIndex0)),
% 16.18/11.40 inference(unit_resolution,[status(thm)],[25300, 5004, 25266])).
% 16.18/11.40 tff(25302,plain,
% 16.18/11.40 ((~(v130(constB171, bitIndex0) <=> b100(bitIndex0))) | (~v130(constB171, bitIndex0)) | b100(bitIndex0)),
% 16.18/11.40 inference(tautology,[status(thm)],[])).
% 16.18/11.40 tff(25303,plain,
% 16.18/11.40 ((~(v130(constB171, bitIndex0) <=> b100(bitIndex0))) | (~v130(constB171, bitIndex0))),
% 16.18/11.41 inference(unit_resolution,[status(thm)],[25302, 5243])).
% 16.18/11.41 tff(25304,plain,
% 16.18/11.41 (~v130(constB171, bitIndex0)),
% 16.18/11.41 inference(unit_resolution,[status(thm)],[25303, 25301])).
% 16.18/11.41 tff(25305,plain,
% 16.18/11.41 ((~(v127(constB171, bitIndex0) <=> v130(constB171, bitIndex0))) | (~v127(constB171, bitIndex0)) | v130(constB171, bitIndex0)),
% 16.18/11.41 inference(tautology,[status(thm)],[])).
% 16.18/11.41 tff(25306,plain,
% 16.18/11.41 (~v127(constB171, bitIndex0)),
% 16.18/11.41 inference(unit_resolution,[status(thm)],[25305, 25304, 25297])).
% 16.18/11.41 tff(25307,plain,
% 16.18/11.41 ((~(v129(constB172, bitIndex0) <=> v127(constB171, bitIndex0))) | (~v129(constB172, bitIndex0)) | v127(constB171, bitIndex0)),
% 16.18/11.41 inference(tautology,[status(thm)],[])).
% 16.18/11.41 tff(25308,plain,
% 16.18/11.41 (~v129(constB172, bitIndex0)),
% 16.18/11.41 inference(unit_resolution,[status(thm)],[25307, 25306, 25293])).
% 16.18/11.41 tff(25309,plain,
% 16.18/11.41 ((~(v90(constB172, bitIndex0) <=> v129(constB172, bitIndex0))) | (~v90(constB172, bitIndex0)) | v129(constB172, bitIndex0)),
% 16.18/11.41 inference(tautology,[status(thm)],[])).
% 16.18/11.41 tff(25310,plain,
% 16.18/11.41 (~v90(constB172, bitIndex0)),
% 16.18/11.41 inference(unit_resolution,[status(thm)],[25309, 25308, 25289])).
% 16.18/11.41 tff(25311,plain,
% 16.18/11.41 ((~(v90(constB173, bitIndex0) <=> v90(constB172, bitIndex0))) | (~v90(constB173, bitIndex0)) | v90(constB172, bitIndex0)),
% 16.18/11.41 inference(tautology,[status(thm)],[])).
% 16.18/11.41 tff(25312,plain,
% 16.18/11.41 (~v90(constB173, bitIndex0)),
% 16.18/11.41 inference(unit_resolution,[status(thm)],[25311, 25310, 25285])).
% 16.18/11.41 tff(25313,plain,
% 16.18/11.41 (((~![B: $i] : ((~less_3(B)) | (v90(constB173, B) <=> v90(constB172, B)))) | ((~less_3(bitIndex1)) | (v90(constB173, bitIndex1) <=> v90(constB172, bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v90(constB173, B) <=> v90(constB172, B)))) | (~less_3(bitIndex1)) | (v90(constB173, bitIndex1) <=> v90(constB172, bitIndex1)))),
% 16.18/11.41 inference(rewrite,[status(thm)],[])).
% 16.18/11.41 tff(25314,plain,
% 16.18/11.41 ((~![B: $i] : ((~less_3(B)) | (v90(constB173, B) <=> v90(constB172, B)))) | ((~less_3(bitIndex1)) | (v90(constB173, bitIndex1) <=> v90(constB172, bitIndex1)))),
% 16.18/11.41 inference(quant_inst,[status(thm)],[])).
% 16.18/11.41 tff(25315,plain,
% 16.18/11.41 ((~![B: $i] : ((~less_3(B)) | (v90(constB173, B) <=> v90(constB172, B)))) | (~less_3(bitIndex1)) | (v90(constB173, bitIndex1) <=> v90(constB172, bitIndex1))),
% 16.18/11.41 inference(modus_ponens,[status(thm)],[25314, 25313])).
% 16.18/11.41 tff(25316,plain,
% 16.18/11.41 (v90(constB173, bitIndex1) <=> v90(constB172, bitIndex1)),
% 16.18/11.41 inference(unit_resolution,[status(thm)],[25315, 5017, 24874])).
% 16.18/11.41 tff(25317,plain,
% 16.18/11.41 (((~![B: $i] : ((~less_3(B)) | (v90(constB172, B) <=> v129(constB172, B)))) | ((~less_3(bitIndex1)) | (v90(constB172, bitIndex1) <=> v129(constB172, bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v90(constB172, B) <=> v129(constB172, B)))) | (~less_3(bitIndex1)) | (v90(constB172, bitIndex1) <=> v129(constB172, bitIndex1)))),
% 16.18/11.41 inference(rewrite,[status(thm)],[])).
% 16.18/11.41 tff(25318,plain,
% 16.18/11.41 ((~![B: $i] : ((~less_3(B)) | (v90(constB172, B) <=> v129(constB172, B)))) | ((~less_3(bitIndex1)) | (v90(constB172, bitIndex1) <=> v129(constB172, bitIndex1)))),
% 16.18/11.41 inference(quant_inst,[status(thm)],[])).
% 16.18/11.41 tff(25319,plain,
% 16.18/11.41 ((~![B: $i] : ((~less_3(B)) | (v90(constB172, B) <=> v129(constB172, B)))) | (~less_3(bitIndex1)) | (v90(constB172, bitIndex1) <=> v129(constB172, bitIndex1))),
% 16.18/11.41 inference(modus_ponens,[status(thm)],[25318, 25317])).
% 16.18/11.41 tff(25320,plain,
% 16.18/11.41 (v90(constB172, bitIndex1) <=> v129(constB172, bitIndex1)),
% 16.18/11.41 inference(unit_resolution,[status(thm)],[25319, 5017, 25241])).
% 16.18/11.41 tff(25321,plain,
% 16.18/11.41 (((~![B: $i] : ((~less_3(B)) | (v129(constB172, B) <=> v127(constB171, B)))) | ((~less_3(bitIndex1)) | (v129(constB172, bitIndex1) <=> v127(constB171, bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v129(constB172, B) <=> v127(constB171, B)))) | (~less_3(bitIndex1)) | (v129(constB172, bitIndex1) <=> v127(constB171, bitIndex1)))),
% 16.18/11.41 inference(rewrite,[status(thm)],[])).
% 16.18/11.41 tff(25322,plain,
% 16.18/11.41 ((~![B: $i] : ((~less_3(B)) | (v129(constB172, B) <=> v127(constB171, B)))) | ((~less_3(bitIndex1)) | (v129(constB172, bitIndex1) <=> v127(constB171, bitIndex1)))),
% 16.18/11.41 inference(quant_inst,[status(thm)],[])).
% 16.18/11.41 tff(25323,plain,
% 16.18/11.41 ((~![B: $i] : ((~less_3(B)) | (v129(constB172, B) <=> v127(constB171, B)))) | (~less_3(bitIndex1)) | (v129(constB172, bitIndex1) <=> v127(constB171, bitIndex1))),
% 16.18/11.41 inference(modus_ponens,[status(thm)],[25322, 25321])).
% 16.18/11.41 tff(25324,plain,
% 16.18/11.41 (v129(constB172, bitIndex1) <=> v127(constB171, bitIndex1)),
% 16.18/11.41 inference(unit_resolution,[status(thm)],[25323, 5017, 25249])).
% 16.18/11.41 tff(25325,plain,
% 16.18/11.41 (((~![B: $i] : ((~less_3(B)) | (v127(constB171, B) <=> v130(constB171, B)))) | ((~less_3(bitIndex1)) | (v127(constB171, bitIndex1) <=> v130(constB171, bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v127(constB171, B) <=> v130(constB171, B)))) | (~less_3(bitIndex1)) | (v127(constB171, bitIndex1) <=> v130(constB171, bitIndex1)))),
% 16.18/11.41 inference(rewrite,[status(thm)],[])).
% 16.18/11.41 tff(25326,plain,
% 16.18/11.41 ((~![B: $i] : ((~less_3(B)) | (v127(constB171, B) <=> v130(constB171, B)))) | ((~less_3(bitIndex1)) | (v127(constB171, bitIndex1) <=> v130(constB171, bitIndex1)))),
% 16.18/11.41 inference(quant_inst,[status(thm)],[])).
% 16.18/11.41 tff(25327,plain,
% 16.18/11.41 ((~![B: $i] : ((~less_3(B)) | (v127(constB171, B) <=> v130(constB171, B)))) | (~less_3(bitIndex1)) | (v127(constB171, bitIndex1) <=> v130(constB171, bitIndex1))),
% 16.18/11.41 inference(modus_ponens,[status(thm)],[25326, 25325])).
% 16.18/11.41 tff(25328,plain,
% 16.18/11.41 (v127(constB171, bitIndex1) <=> v130(constB171, bitIndex1)),
% 16.18/11.41 inference(unit_resolution,[status(thm)],[25327, 5017, 25257])).
% 16.18/11.41 tff(25329,plain,
% 16.18/11.41 (((~![B: $i] : ((~less_3(B)) | (v130(constB171, B) <=> b100(B)))) | ((~less_3(bitIndex1)) | (v130(constB171, bitIndex1) <=> b100(bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v130(constB171, B) <=> b100(B)))) | (~less_3(bitIndex1)) | (v130(constB171, bitIndex1) <=> b100(bitIndex1)))),
% 16.18/11.41 inference(rewrite,[status(thm)],[])).
% 16.18/11.41 tff(25330,plain,
% 16.18/11.41 ((~![B: $i] : ((~less_3(B)) | (v130(constB171, B) <=> b100(B)))) | ((~less_3(bitIndex1)) | (v130(constB171, bitIndex1) <=> b100(bitIndex1)))),
% 16.18/11.41 inference(quant_inst,[status(thm)],[])).
% 16.18/11.41 tff(25331,plain,
% 16.18/11.41 ((~![B: $i] : ((~less_3(B)) | (v130(constB171, B) <=> b100(B)))) | (~less_3(bitIndex1)) | (v130(constB171, bitIndex1) <=> b100(bitIndex1))),
% 16.18/11.41 inference(modus_ponens,[status(thm)],[25330, 25329])).
% 16.18/11.41 tff(25332,plain,
% 16.18/11.41 (v130(constB171, bitIndex1) <=> b100(bitIndex1)),
% 16.18/11.41 inference(unit_resolution,[status(thm)],[25331, 5017, 25266])).
% 16.18/11.41 tff(25333,plain,
% 16.18/11.41 ((~(v130(constB171, bitIndex1) <=> b100(bitIndex1))) | (~v130(constB171, bitIndex1)) | b100(bitIndex1)),
% 16.18/11.41 inference(tautology,[status(thm)],[])).
% 16.18/11.41 tff(25334,plain,
% 16.18/11.41 ((~(v130(constB171, bitIndex1) <=> b100(bitIndex1))) | (~v130(constB171, bitIndex1))),
% 16.18/11.41 inference(unit_resolution,[status(thm)],[25333, 5277])).
% 16.18/11.41 tff(25335,plain,
% 16.18/11.41 (~v130(constB171, bitIndex1)),
% 16.18/11.41 inference(unit_resolution,[status(thm)],[25334, 25332])).
% 16.18/11.41 tff(25336,plain,
% 16.18/11.41 ((~(v127(constB171, bitIndex1) <=> v130(constB171, bitIndex1))) | (~v127(constB171, bitIndex1)) | v130(constB171, bitIndex1)),
% 16.18/11.41 inference(tautology,[status(thm)],[])).
% 16.18/11.41 tff(25337,plain,
% 16.18/11.41 (~v127(constB171, bitIndex1)),
% 16.18/11.41 inference(unit_resolution,[status(thm)],[25336, 25335, 25328])).
% 16.18/11.41 tff(25338,plain,
% 16.18/11.41 ((~(v129(constB172, bitIndex1) <=> v127(constB171, bitIndex1))) | (~v129(constB172, bitIndex1)) | v127(constB171, bitIndex1)),
% 16.18/11.41 inference(tautology,[status(thm)],[])).
% 16.18/11.41 tff(25339,plain,
% 16.18/11.41 (~v129(constB172, bitIndex1)),
% 16.18/11.41 inference(unit_resolution,[status(thm)],[25338, 25337, 25324])).
% 16.18/11.41 tff(25340,plain,
% 16.18/11.41 ((~(v90(constB172, bitIndex1) <=> v129(constB172, bitIndex1))) | (~v90(constB172, bitIndex1)) | v129(constB172, bitIndex1)),
% 16.18/11.41 inference(tautology,[status(thm)],[])).
% 16.18/11.41 tff(25341,plain,
% 16.18/11.41 (~v90(constB172, bitIndex1)),
% 16.18/11.41 inference(unit_resolution,[status(thm)],[25340, 25339, 25320])).
% 16.18/11.41 tff(25342,plain,
% 16.18/11.41 ((~(v90(constB173, bitIndex1) <=> v90(constB172, bitIndex1))) | (~v90(constB173, bitIndex1)) | v90(constB172, bitIndex1)),
% 16.18/11.41 inference(tautology,[status(thm)],[])).
% 16.18/11.41 tff(25343,plain,
% 16.18/11.41 (~v90(constB173, bitIndex1)),
% 16.18/11.41 inference(unit_resolution,[status(thm)],[25342, 25341, 25316])).
% 16.18/11.41 tff(25344,plain,
% 16.18/11.41 ((~((~v90(constB173, bitIndex2)) | v90(constB173, bitIndex1) | v90(constB173, bitIndex0))) | (~v90(constB173, bitIndex2)) | v90(constB173, bitIndex1) | v90(constB173, bitIndex0)),
% 16.18/11.41 inference(tautology,[status(thm)],[])).
% 16.18/11.41 tff(25345,plain,
% 16.18/11.41 (~((~v90(constB173, bitIndex2)) | v90(constB173, bitIndex1) | v90(constB173, bitIndex0))),
% 16.18/11.41 inference(unit_resolution,[status(thm)],[25344, 25343, 25312, 25281])).
% 16.18/11.41 tff(25346,plain,
% 16.18/11.41 ((~(v123(constB173) <=> (~((~v90(constB173, bitIndex2)) | v90(constB173, bitIndex1) | v90(constB173, bitIndex0))))) | v123(constB173) | ((~v90(constB173, bitIndex2)) | v90(constB173, bitIndex1) | v90(constB173, bitIndex0))),
% 16.18/11.41 inference(tautology,[status(thm)],[])).
% 16.18/11.41 tff(25347,plain,
% 16.18/11.41 (v123(constB173)),
% 16.18/11.41 inference(unit_resolution,[status(thm)],[25346, 25345, 24846])).
% 16.18/11.41 tff(25348,plain,
% 16.18/11.41 ((v116(constB173) | v123(constB173)) | (~v123(constB173))),
% 16.18/11.41 inference(tautology,[status(thm)],[])).
% 16.18/11.41 tff(25349,plain,
% 16.18/11.41 (v116(constB173) | v123(constB173)),
% 16.18/11.41 inference(unit_resolution,[status(thm)],[25348, 25347])).
% 16.18/11.41 tff(25350,plain,
% 16.18/11.41 ((~(v115(constB173) <=> (v116(constB173) | v123(constB173)))) | v115(constB173) | (~(v116(constB173) | v123(constB173)))),
% 16.18/11.41 inference(tautology,[status(thm)],[])).
% 16.18/11.41 tff(25351,plain,
% 16.18/11.41 (v115(constB173)),
% 16.18/11.41 inference(unit_resolution,[status(thm)],[25350, 25349, 24839])).
% 16.18/11.41 tff(25352,plain,
% 16.18/11.41 ((v115(constB173) | v124(constB173)) | (~v115(constB173))),
% 16.18/11.41 inference(tautology,[status(thm)],[])).
% 16.18/11.41 tff(25353,plain,
% 16.18/11.41 (v115(constB173) | v124(constB173)),
% 16.18/11.41 inference(unit_resolution,[status(thm)],[25352, 25351])).
% 16.18/11.41 tff(25354,plain,
% 16.18/11.41 ((~(v114(constB173) <=> (v115(constB173) | v124(constB173)))) | v114(constB173) | (~(v115(constB173) | v124(constB173)))),
% 16.18/11.41 inference(tautology,[status(thm)],[])).
% 16.18/11.41 tff(25355,plain,
% 16.18/11.41 (v114(constB173)),
% 16.18/11.41 inference(unit_resolution,[status(thm)],[25354, 25353, 24837])).
% 16.18/11.41 tff(25356,plain,
% 16.18/11.41 ((v114(constB173) | v125(constB173)) | (~v114(constB173))),
% 16.18/11.41 inference(tautology,[status(thm)],[])).
% 16.18/11.41 tff(25357,plain,
% 16.18/11.41 (v114(constB173) | v125(constB173)),
% 16.18/11.41 inference(unit_resolution,[status(thm)],[25356, 25355])).
% 16.18/11.41 tff(25358,plain,
% 16.18/11.41 ((~(v113(constB173) <=> (v114(constB173) | v125(constB173)))) | v113(constB173) | (~(v114(constB173) | v125(constB173)))),
% 16.18/11.41 inference(tautology,[status(thm)],[])).
% 16.18/11.41 tff(25359,plain,
% 16.18/11.41 (v113(constB173)),
% 16.18/11.41 inference(unit_resolution,[status(thm)],[25358, 25357, 24835])).
% 16.18/11.41 tff(25360,plain,
% 16.18/11.41 ((~![VarCurr: $i] : ((~v126(VarCurr)) <=> v111(VarCurr))) | ((~v126(constB173)) <=> v111(constB173))),
% 16.18/11.41 inference(quant_inst,[status(thm)],[])).
% 16.18/11.41 tff(25361,plain,
% 16.18/11.41 ((~v126(constB173)) <=> v111(constB173)),
% 16.18/11.41 inference(unit_resolution,[status(thm)],[25360, 5074])).
% 16.18/11.41 tff(25362,plain,
% 16.18/11.41 ((~![VarCurr: $i] : (v111(VarCurr) <=> v26(VarCurr))) | (v111(constB173) <=> v26(constB173))),
% 16.18/11.41 inference(quant_inst,[status(thm)],[])).
% 16.18/11.41 tff(25363,plain,
% 16.18/11.41 (v111(constB173) <=> v26(constB173)),
% 16.18/11.41 inference(unit_resolution,[status(thm)],[25362, 5086])).
% 16.18/11.41 tff(25364,plain,
% 16.18/11.41 ((~![VarCurr: $i] : (~v26(VarCurr))) | (~v26(constB173))),
% 16.18/11.41 inference(quant_inst,[status(thm)],[])).
% 16.18/11.41 tff(25365,plain,
% 16.18/11.41 (~v26(constB173)),
% 16.18/11.41 inference(unit_resolution,[status(thm)],[25364, 5098])).
% 16.18/11.41 tff(25366,plain,
% 16.18/11.41 ((~(v111(constB173) <=> v26(constB173))) | (~v111(constB173)) | v26(constB173)),
% 16.18/11.41 inference(tautology,[status(thm)],[])).
% 16.18/11.41 tff(25367,plain,
% 16.18/11.41 ((~(v111(constB173) <=> v26(constB173))) | (~v111(constB173))),
% 16.18/11.41 inference(unit_resolution,[status(thm)],[25366, 25365])).
% 16.18/11.41 tff(25368,plain,
% 16.18/11.41 (~v111(constB173)),
% 16.18/11.41 inference(unit_resolution,[status(thm)],[25367, 25363])).
% 16.18/11.41 tff(25369,plain,
% 16.18/11.41 ((~((~v126(constB173)) <=> v111(constB173))) | v126(constB173) | v111(constB173)),
% 16.18/11.41 inference(tautology,[status(thm)],[])).
% 16.18/11.41 tff(25370,plain,
% 16.18/11.41 ((~((~v126(constB173)) <=> v111(constB173))) | v126(constB173)),
% 16.18/11.41 inference(unit_resolution,[status(thm)],[25369, 25368])).
% 16.18/11.41 tff(25371,plain,
% 16.18/11.41 (v126(constB173)),
% 16.18/11.41 inference(unit_resolution,[status(thm)],[25370, 25361])).
% 16.18/11.41 tff(25372,plain,
% 16.18/11.41 ((~((~v113(constB173)) | (~v126(constB173)))) | (~v113(constB173)) | (~v126(constB173))),
% 16.18/11.41 inference(tautology,[status(thm)],[])).
% 16.18/11.41 tff(25373,plain,
% 16.18/11.41 ((~((~v113(constB173)) | (~v126(constB173)))) | (~v113(constB173))),
% 16.18/11.41 inference(unit_resolution,[status(thm)],[25372, 25371])).
% 16.18/11.41 tff(25374,plain,
% 16.18/11.41 (~((~v113(constB173)) | (~v126(constB173)))),
% 16.18/11.41 inference(unit_resolution,[status(thm)],[25373, 25359])).
% 16.18/11.41 tff(25375,plain,
% 16.18/11.41 ((~(v112(constB173) <=> (~((~v113(constB173)) | (~v126(constB173)))))) | v112(constB173) | ((~v113(constB173)) | (~v126(constB173)))),
% 16.18/11.41 inference(tautology,[status(thm)],[])).
% 16.18/11.41 tff(25376,plain,
% 16.18/11.41 (v112(constB173)),
% 16.18/11.41 inference(unit_resolution,[status(thm)],[25375, 25374, 24833])).
% 16.18/11.41 tff(25377,plain,
% 16.18/11.41 ((v111(constB173) | v112(constB173)) | (~v112(constB173))),
% 16.18/11.41 inference(tautology,[status(thm)],[])).
% 16.18/11.41 tff(25378,plain,
% 16.18/11.41 (v111(constB173) | v112(constB173)),
% 16.18/11.41 inference(unit_resolution,[status(thm)],[25377, 25376])).
% 16.18/11.41 tff(25379,plain,
% 16.18/11.41 ((~(v108(constB173) <=> (v111(constB173) | v112(constB173)))) | v108(constB173) | (~(v111(constB173) | v112(constB173)))),
% 16.18/11.41 inference(tautology,[status(thm)],[])).
% 16.18/11.41 tff(25380,plain,
% 16.18/11.41 (v108(constB173)),
% 16.18/11.41 inference(unit_resolution,[status(thm)],[25379, 25378, 24831])).
% 16.18/11.41 tff(25381,plain,
% 16.18/11.41 ((~(v110(constB174) <=> v108(constB173))) | v110(constB174) | (~v108(constB173))),
% 16.18/11.41 inference(tautology,[status(thm)],[])).
% 16.18/11.41 tff(25382,plain,
% 16.18/11.41 (v110(constB174)),
% 16.18/11.41 inference(unit_resolution,[status(thm)],[25381, 25380, 24829])).
% 16.18/11.41 tff(25383,plain,
% 16.18/11.41 ((~((~v101(constB174)) | (~v110(constB174)))) | (~v101(constB174)) | (~v110(constB174))),
% 16.18/11.41 inference(tautology,[status(thm)],[])).
% 16.18/11.41 tff(25384,plain,
% 16.18/11.41 (~((~v101(constB174)) | (~v110(constB174)))),
% 16.18/11.41 inference(unit_resolution,[status(thm)],[25383, 25382, 24825])).
% 16.18/11.41 tff(25385,plain,
% 16.18/11.41 ((~(v100(constB174) <=> (~((~v101(constB174)) | (~v110(constB174)))))) | v100(constB174) | ((~v101(constB174)) | (~v110(constB174)))),
% 16.18/11.41 inference(tautology,[status(thm)],[])).
% 16.18/11.41 tff(25386,plain,
% 16.18/11.41 (v100(constB174)),
% 16.18/11.41 inference(unit_resolution,[status(thm)],[25385, 25384, 24794])).
% 16.18/11.41 tff(25387,plain,
% 16.18/11.41 (((~![VarNext: $i] : ((~v100(VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v129(VarNext, B))))) | ((~v100(constB174)) | ![B: $i] : ((~less_3(B)) | (v90(constB174, B) <=> v129(constB174, B))))) <=> ((~![VarNext: $i] : ((~v100(VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v129(VarNext, B))))) | (~v100(constB174)) | ![B: $i] : ((~less_3(B)) | (v90(constB174, B) <=> v129(constB174, B))))),
% 16.18/11.41 inference(rewrite,[status(thm)],[])).
% 16.18/11.41 tff(25388,plain,
% 16.18/11.41 ((~![VarNext: $i] : ((~v100(VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v129(VarNext, B))))) | ((~v100(constB174)) | ![B: $i] : ((~less_3(B)) | (v90(constB174, B) <=> v129(constB174, B))))),
% 16.18/11.41 inference(quant_inst,[status(thm)],[])).
% 16.18/11.41 tff(25389,plain,
% 16.18/11.41 ((~![VarNext: $i] : ((~v100(VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v129(VarNext, B))))) | (~v100(constB174)) | ![B: $i] : ((~less_3(B)) | (v90(constB174, B) <=> v129(constB174, B)))),
% 16.18/11.41 inference(modus_ponens,[status(thm)],[25388, 25387])).
% 16.18/11.41 tff(25390,plain,
% 16.18/11.41 ((~v100(constB174)) | ![B: $i] : ((~less_3(B)) | (v90(constB174, B) <=> v129(constB174, B)))),
% 16.18/11.41 inference(unit_resolution,[status(thm)],[25389, 5134])).
% 16.18/11.41 tff(25391,plain,
% 16.18/11.41 (![B: $i] : ((~less_3(B)) | (v90(constB174, B) <=> v129(constB174, B)))),
% 16.18/11.41 inference(unit_resolution,[status(thm)],[25390, 25386])).
% 16.18/11.41 tff(25392,plain,
% 16.18/11.41 (((~![B: $i] : ((~less_3(B)) | (v90(constB174, B) <=> v129(constB174, B)))) | ((~less_3(bitIndex2)) | (v90(constB174, bitIndex2) <=> v129(constB174, bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v90(constB174, B) <=> v129(constB174, B)))) | (~less_3(bitIndex2)) | (v90(constB174, bitIndex2) <=> v129(constB174, bitIndex2)))),
% 16.18/11.41 inference(rewrite,[status(thm)],[])).
% 16.18/11.41 tff(25393,plain,
% 16.18/11.41 ((~![B: $i] : ((~less_3(B)) | (v90(constB174, B) <=> v129(constB174, B)))) | ((~less_3(bitIndex2)) | (v90(constB174, bitIndex2) <=> v129(constB174, bitIndex2)))),
% 16.18/11.41 inference(quant_inst,[status(thm)],[])).
% 16.18/11.41 tff(25394,plain,
% 16.18/11.41 ((~![B: $i] : ((~less_3(B)) | (v90(constB174, B) <=> v129(constB174, B)))) | (~less_3(bitIndex2)) | (v90(constB174, bitIndex2) <=> v129(constB174, bitIndex2))),
% 16.18/11.42 inference(modus_ponens,[status(thm)],[25393, 25392])).
% 16.18/11.42 tff(25395,plain,
% 16.18/11.42 (v90(constB174, bitIndex2) <=> v129(constB174, bitIndex2)),
% 16.18/11.42 inference(unit_resolution,[status(thm)],[25394, 413, 25391])).
% 16.18/11.42 tff(25396,plain,
% 16.18/11.42 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v129(VarNext, B) <=> v127(VarCurr, B))))) | ((~nextState(constB173, constB174)) | ![B: $i] : ((~less_3(B)) | (v129(constB174, B) <=> v127(constB173, B))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v129(VarNext, B) <=> v127(VarCurr, B))))) | (~nextState(constB173, constB174)) | ![B: $i] : ((~less_3(B)) | (v129(constB174, B) <=> v127(constB173, B))))),
% 16.18/11.42 inference(rewrite,[status(thm)],[])).
% 16.18/11.42 tff(25397,plain,
% 16.18/11.42 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v129(VarNext, B) <=> v127(VarCurr, B))))) | ((~nextState(constB173, constB174)) | ![B: $i] : ((~less_3(B)) | (v129(constB174, B) <=> v127(constB173, B))))),
% 16.18/11.42 inference(quant_inst,[status(thm)],[])).
% 16.18/11.42 tff(25398,plain,
% 16.18/11.42 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v129(VarNext, B) <=> v127(VarCurr, B))))) | (~nextState(constB173, constB174)) | ![B: $i] : ((~less_3(B)) | (v129(constB174, B) <=> v127(constB173, B)))),
% 16.18/11.42 inference(modus_ponens,[status(thm)],[25397, 25396])).
% 16.18/11.42 tff(25399,plain,
% 16.18/11.42 (![B: $i] : ((~less_3(B)) | (v129(constB174, B) <=> v127(constB173, B)))),
% 16.18/11.42 inference(unit_resolution,[status(thm)],[25398, 24790, 5156])).
% 16.18/11.42 tff(25400,plain,
% 16.18/11.42 (((~![B: $i] : ((~less_3(B)) | (v129(constB174, B) <=> v127(constB173, B)))) | ((~less_3(bitIndex2)) | (v129(constB174, bitIndex2) <=> v127(constB173, bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v129(constB174, B) <=> v127(constB173, B)))) | (~less_3(bitIndex2)) | (v129(constB174, bitIndex2) <=> v127(constB173, bitIndex2)))),
% 16.18/11.42 inference(rewrite,[status(thm)],[])).
% 16.18/11.42 tff(25401,plain,
% 16.18/11.42 ((~![B: $i] : ((~less_3(B)) | (v129(constB174, B) <=> v127(constB173, B)))) | ((~less_3(bitIndex2)) | (v129(constB174, bitIndex2) <=> v127(constB173, bitIndex2)))),
% 16.18/11.42 inference(quant_inst,[status(thm)],[])).
% 16.18/11.42 tff(25402,plain,
% 16.18/11.42 ((~![B: $i] : ((~less_3(B)) | (v129(constB174, B) <=> v127(constB173, B)))) | (~less_3(bitIndex2)) | (v129(constB174, bitIndex2) <=> v127(constB173, bitIndex2))),
% 16.18/11.42 inference(modus_ponens,[status(thm)],[25401, 25400])).
% 16.18/11.42 tff(25403,plain,
% 16.18/11.42 (v129(constB174, bitIndex2) <=> v127(constB173, bitIndex2)),
% 16.18/11.42 inference(unit_resolution,[status(thm)],[25402, 413, 25399])).
% 16.18/11.42 tff(25404,plain,
% 16.18/11.42 (((~![VarCurr: $i] : (v111(VarCurr) | ![B: $i] : ((~less_3(B)) | (v127(VarCurr, B) <=> v130(VarCurr, B))))) | (v111(constB173) | ![B: $i] : ((~less_3(B)) | (v127(constB173, B) <=> v130(constB173, B))))) <=> ((~![VarCurr: $i] : (v111(VarCurr) | ![B: $i] : ((~less_3(B)) | (v127(VarCurr, B) <=> v130(VarCurr, B))))) | v111(constB173) | ![B: $i] : ((~less_3(B)) | (v127(constB173, B) <=> v130(constB173, B))))),
% 16.18/11.42 inference(rewrite,[status(thm)],[])).
% 16.18/11.42 tff(25405,plain,
% 16.18/11.42 ((~![VarCurr: $i] : (v111(VarCurr) | ![B: $i] : ((~less_3(B)) | (v127(VarCurr, B) <=> v130(VarCurr, B))))) | (v111(constB173) | ![B: $i] : ((~less_3(B)) | (v127(constB173, B) <=> v130(constB173, B))))),
% 16.18/11.42 inference(quant_inst,[status(thm)],[])).
% 16.18/11.42 tff(25406,plain,
% 16.18/11.42 ((~![VarCurr: $i] : (v111(VarCurr) | ![B: $i] : ((~less_3(B)) | (v127(VarCurr, B) <=> v130(VarCurr, B))))) | v111(constB173) | ![B: $i] : ((~less_3(B)) | (v127(constB173, B) <=> v130(constB173, B)))),
% 16.18/11.42 inference(modus_ponens,[status(thm)],[25405, 25404])).
% 16.18/11.42 tff(25407,plain,
% 16.18/11.42 (![B: $i] : ((~less_3(B)) | (v127(constB173, B) <=> v130(constB173, B)))),
% 16.18/11.42 inference(unit_resolution,[status(thm)],[25406, 5177, 25368])).
% 16.18/11.42 tff(25408,plain,
% 16.18/11.42 (((~![B: $i] : ((~less_3(B)) | (v127(constB173, B) <=> v130(constB173, B)))) | ((~less_3(bitIndex2)) | (v127(constB173, bitIndex2) <=> v130(constB173, bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v127(constB173, B) <=> v130(constB173, B)))) | (~less_3(bitIndex2)) | (v127(constB173, bitIndex2) <=> v130(constB173, bitIndex2)))),
% 16.18/11.42 inference(rewrite,[status(thm)],[])).
% 16.18/11.42 tff(25409,plain,
% 16.18/11.42 ((~![B: $i] : ((~less_3(B)) | (v127(constB173, B) <=> v130(constB173, B)))) | ((~less_3(bitIndex2)) | (v127(constB173, bitIndex2) <=> v130(constB173, bitIndex2)))),
% 16.18/11.42 inference(quant_inst,[status(thm)],[])).
% 16.18/11.42 tff(25410,plain,
% 16.18/11.42 ((~![B: $i] : ((~less_3(B)) | (v127(constB173, B) <=> v130(constB173, B)))) | (~less_3(bitIndex2)) | (v127(constB173, bitIndex2) <=> v130(constB173, bitIndex2))),
% 16.18/11.42 inference(modus_ponens,[status(thm)],[25409, 25408])).
% 16.18/11.42 tff(25411,plain,
% 16.18/11.42 (v127(constB173, bitIndex2) <=> v130(constB173, bitIndex2)),
% 16.18/11.42 inference(unit_resolution,[status(thm)],[25410, 413, 25407])).
% 16.18/11.42 tff(25412,plain,
% 16.18/11.42 (((~![VarCurr: $i] : ((~v123(VarCurr)) | ![B: $i] : ((~less_3(B)) | (v130(VarCurr, B) <=> b110(B))))) | ((~v123(constB173)) | ![B: $i] : ((~less_3(B)) | (v130(constB173, B) <=> b110(B))))) <=> ((~![VarCurr: $i] : ((~v123(VarCurr)) | ![B: $i] : ((~less_3(B)) | (v130(VarCurr, B) <=> b110(B))))) | (~v123(constB173)) | ![B: $i] : ((~less_3(B)) | (v130(constB173, B) <=> b110(B))))),
% 16.18/11.42 inference(rewrite,[status(thm)],[])).
% 16.18/11.42 tff(25413,plain,
% 16.18/11.42 ((~![VarCurr: $i] : ((~v123(VarCurr)) | ![B: $i] : ((~less_3(B)) | (v130(VarCurr, B) <=> b110(B))))) | ((~v123(constB173)) | ![B: $i] : ((~less_3(B)) | (v130(constB173, B) <=> b110(B))))),
% 16.18/11.42 inference(quant_inst,[status(thm)],[])).
% 16.18/11.42 tff(25414,plain,
% 16.18/11.42 ((~![VarCurr: $i] : ((~v123(VarCurr)) | ![B: $i] : ((~less_3(B)) | (v130(VarCurr, B) <=> b110(B))))) | (~v123(constB173)) | ![B: $i] : ((~less_3(B)) | (v130(constB173, B) <=> b110(B)))),
% 16.18/11.42 inference(modus_ponens,[status(thm)],[25413, 25412])).
% 16.18/11.42 tff(25415,plain,
% 16.18/11.42 ((~v123(constB173)) | ![B: $i] : ((~less_3(B)) | (v130(constB173, B) <=> b110(B)))),
% 16.18/11.42 inference(unit_resolution,[status(thm)],[25414, 5369])).
% 16.18/11.42 tff(25416,plain,
% 16.18/11.42 (![B: $i] : ((~less_3(B)) | (v130(constB173, B) <=> b110(B)))),
% 16.18/11.42 inference(unit_resolution,[status(thm)],[25415, 25347])).
% 16.18/11.42 tff(25417,plain,
% 16.18/11.42 (((~![B: $i] : ((~less_3(B)) | (v130(constB173, B) <=> b110(B)))) | ((~less_3(bitIndex2)) | (v130(constB173, bitIndex2) <=> b110(bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v130(constB173, B) <=> b110(B)))) | (~less_3(bitIndex2)) | (v130(constB173, bitIndex2) <=> b110(bitIndex2)))),
% 16.18/11.42 inference(rewrite,[status(thm)],[])).
% 16.18/11.42 tff(25418,plain,
% 16.18/11.42 ((~![B: $i] : ((~less_3(B)) | (v130(constB173, B) <=> b110(B)))) | ((~less_3(bitIndex2)) | (v130(constB173, bitIndex2) <=> b110(bitIndex2)))),
% 16.18/11.42 inference(quant_inst,[status(thm)],[])).
% 16.18/11.42 tff(25419,plain,
% 16.18/11.42 ((~![B: $i] : ((~less_3(B)) | (v130(constB173, B) <=> b110(B)))) | (~less_3(bitIndex2)) | (v130(constB173, bitIndex2) <=> b110(bitIndex2))),
% 16.18/11.42 inference(modus_ponens,[status(thm)],[25418, 25417])).
% 16.18/11.42 tff(25420,plain,
% 16.18/11.42 (v130(constB173, bitIndex2) <=> b110(bitIndex2)),
% 16.18/11.42 inference(unit_resolution,[status(thm)],[25419, 413, 25416])).
% 16.18/11.42 tff(25421,plain,
% 16.18/11.42 ((~(v130(constB173, bitIndex2) <=> b110(bitIndex2))) | v130(constB173, bitIndex2) | (~b110(bitIndex2))),
% 16.18/11.42 inference(tautology,[status(thm)],[])).
% 16.18/11.42 tff(25422,plain,
% 16.18/11.42 ((~(v130(constB173, bitIndex2) <=> b110(bitIndex2))) | v130(constB173, bitIndex2)),
% 16.18/11.42 inference(unit_resolution,[status(thm)],[25421, 5381])).
% 16.18/11.42 tff(25423,plain,
% 16.18/11.42 (v130(constB173, bitIndex2)),
% 16.18/11.42 inference(unit_resolution,[status(thm)],[25422, 25420])).
% 16.18/11.42 tff(25424,plain,
% 16.18/11.42 ((~(v127(constB173, bitIndex2) <=> v130(constB173, bitIndex2))) | v127(constB173, bitIndex2) | (~v130(constB173, bitIndex2))),
% 16.18/11.42 inference(tautology,[status(thm)],[])).
% 16.18/11.42 tff(25425,plain,
% 16.18/11.42 (v127(constB173, bitIndex2)),
% 16.18/11.42 inference(unit_resolution,[status(thm)],[25424, 25423, 25411])).
% 16.18/11.42 tff(25426,plain,
% 16.18/11.42 ((~(v129(constB174, bitIndex2) <=> v127(constB173, bitIndex2))) | v129(constB174, bitIndex2) | (~v127(constB173, bitIndex2))),
% 16.18/11.42 inference(tautology,[status(thm)],[])).
% 16.18/11.42 tff(25427,plain,
% 16.18/11.42 (v129(constB174, bitIndex2)),
% 16.18/11.42 inference(unit_resolution,[status(thm)],[25426, 25425, 25403])).
% 16.18/11.42 tff(25428,plain,
% 16.18/11.42 ((~(v90(constB174, bitIndex2) <=> v129(constB174, bitIndex2))) | v90(constB174, bitIndex2) | (~v129(constB174, bitIndex2))),
% 16.18/11.42 inference(tautology,[status(thm)],[])).
% 16.18/11.42 tff(25429,plain,
% 16.18/11.42 (v90(constB174, bitIndex2)),
% 16.18/11.42 inference(unit_resolution,[status(thm)],[25428, 25427, 25395])).
% 16.18/11.42 tff(25430,plain,
% 16.18/11.42 ((~(v90(constB175, bitIndex2) <=> v90(constB174, bitIndex2))) | v90(constB175, bitIndex2) | (~v90(constB174, bitIndex2))),
% 16.18/11.42 inference(tautology,[status(thm)],[])).
% 16.18/11.42 tff(25431,plain,
% 16.18/11.42 (v90(constB175, bitIndex2)),
% 16.18/11.42 inference(unit_resolution,[status(thm)],[25430, 25429, 24787])).
% 16.18/11.42 tff(25432,plain,
% 16.18/11.42 (((~![B: $i] : ((~less_3(B)) | (v90(constB175, B) <=> v90(constB174, B)))) | ((~less_3(bitIndex0)) | (v90(constB175, bitIndex0) <=> v90(constB174, bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v90(constB175, B) <=> v90(constB174, B)))) | (~less_3(bitIndex0)) | (v90(constB175, bitIndex0) <=> v90(constB174, bitIndex0)))),
% 16.18/11.42 inference(rewrite,[status(thm)],[])).
% 16.18/11.42 tff(25433,plain,
% 16.18/11.42 ((~![B: $i] : ((~less_3(B)) | (v90(constB175, B) <=> v90(constB174, B)))) | ((~less_3(bitIndex0)) | (v90(constB175, bitIndex0) <=> v90(constB174, bitIndex0)))),
% 16.18/11.42 inference(quant_inst,[status(thm)],[])).
% 16.18/11.42 tff(25434,plain,
% 16.18/11.42 ((~![B: $i] : ((~less_3(B)) | (v90(constB175, B) <=> v90(constB174, B)))) | (~less_3(bitIndex0)) | (v90(constB175, bitIndex0) <=> v90(constB174, bitIndex0))),
% 16.18/11.42 inference(modus_ponens,[status(thm)],[25433, 25432])).
% 16.18/11.42 tff(25435,plain,
% 16.18/11.42 (v90(constB175, bitIndex0) <=> v90(constB174, bitIndex0)),
% 16.18/11.42 inference(unit_resolution,[status(thm)],[25434, 5004, 24783])).
% 16.18/11.42 tff(25436,plain,
% 16.18/11.42 (((~![B: $i] : ((~less_3(B)) | (v90(constB174, B) <=> v129(constB174, B)))) | ((~less_3(bitIndex0)) | (v90(constB174, bitIndex0) <=> v129(constB174, bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v90(constB174, B) <=> v129(constB174, B)))) | (~less_3(bitIndex0)) | (v90(constB174, bitIndex0) <=> v129(constB174, bitIndex0)))),
% 16.18/11.42 inference(rewrite,[status(thm)],[])).
% 16.18/11.42 tff(25437,plain,
% 16.18/11.42 ((~![B: $i] : ((~less_3(B)) | (v90(constB174, B) <=> v129(constB174, B)))) | ((~less_3(bitIndex0)) | (v90(constB174, bitIndex0) <=> v129(constB174, bitIndex0)))),
% 16.18/11.42 inference(quant_inst,[status(thm)],[])).
% 16.18/11.42 tff(25438,plain,
% 16.18/11.42 ((~![B: $i] : ((~less_3(B)) | (v90(constB174, B) <=> v129(constB174, B)))) | (~less_3(bitIndex0)) | (v90(constB174, bitIndex0) <=> v129(constB174, bitIndex0))),
% 16.18/11.42 inference(modus_ponens,[status(thm)],[25437, 25436])).
% 16.18/11.42 tff(25439,plain,
% 16.18/11.42 (v90(constB174, bitIndex0) <=> v129(constB174, bitIndex0)),
% 16.18/11.42 inference(unit_resolution,[status(thm)],[25438, 5004, 25391])).
% 16.18/11.42 tff(25440,plain,
% 16.18/11.42 (((~![B: $i] : ((~less_3(B)) | (v129(constB174, B) <=> v127(constB173, B)))) | ((~less_3(bitIndex0)) | (v129(constB174, bitIndex0) <=> v127(constB173, bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v129(constB174, B) <=> v127(constB173, B)))) | (~less_3(bitIndex0)) | (v129(constB174, bitIndex0) <=> v127(constB173, bitIndex0)))),
% 16.18/11.42 inference(rewrite,[status(thm)],[])).
% 16.18/11.42 tff(25441,plain,
% 16.18/11.42 ((~![B: $i] : ((~less_3(B)) | (v129(constB174, B) <=> v127(constB173, B)))) | ((~less_3(bitIndex0)) | (v129(constB174, bitIndex0) <=> v127(constB173, bitIndex0)))),
% 16.18/11.42 inference(quant_inst,[status(thm)],[])).
% 16.18/11.42 tff(25442,plain,
% 16.18/11.42 ((~![B: $i] : ((~less_3(B)) | (v129(constB174, B) <=> v127(constB173, B)))) | (~less_3(bitIndex0)) | (v129(constB174, bitIndex0) <=> v127(constB173, bitIndex0))),
% 16.18/11.42 inference(modus_ponens,[status(thm)],[25441, 25440])).
% 16.18/11.42 tff(25443,plain,
% 16.18/11.42 (v129(constB174, bitIndex0) <=> v127(constB173, bitIndex0)),
% 16.18/11.42 inference(unit_resolution,[status(thm)],[25442, 5004, 25399])).
% 16.18/11.42 tff(25444,plain,
% 16.18/11.42 (((~![B: $i] : ((~less_3(B)) | (v127(constB173, B) <=> v130(constB173, B)))) | ((~less_3(bitIndex0)) | (v127(constB173, bitIndex0) <=> v130(constB173, bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v127(constB173, B) <=> v130(constB173, B)))) | (~less_3(bitIndex0)) | (v127(constB173, bitIndex0) <=> v130(constB173, bitIndex0)))),
% 16.18/11.42 inference(rewrite,[status(thm)],[])).
% 16.18/11.42 tff(25445,plain,
% 16.18/11.42 ((~![B: $i] : ((~less_3(B)) | (v127(constB173, B) <=> v130(constB173, B)))) | ((~less_3(bitIndex0)) | (v127(constB173, bitIndex0) <=> v130(constB173, bitIndex0)))),
% 16.18/11.42 inference(quant_inst,[status(thm)],[])).
% 16.18/11.42 tff(25446,plain,
% 16.18/11.42 ((~![B: $i] : ((~less_3(B)) | (v127(constB173, B) <=> v130(constB173, B)))) | (~less_3(bitIndex0)) | (v127(constB173, bitIndex0) <=> v130(constB173, bitIndex0))),
% 16.18/11.42 inference(modus_ponens,[status(thm)],[25445, 25444])).
% 16.18/11.42 tff(25447,plain,
% 16.18/11.42 (v127(constB173, bitIndex0) <=> v130(constB173, bitIndex0)),
% 16.18/11.42 inference(unit_resolution,[status(thm)],[25446, 5004, 25407])).
% 16.18/11.42 tff(25448,plain,
% 16.18/11.42 (((~![B: $i] : ((~less_3(B)) | (v130(constB173, B) <=> b110(B)))) | ((~less_3(bitIndex0)) | (v130(constB173, bitIndex0) <=> b110(bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v130(constB173, B) <=> b110(B)))) | (~less_3(bitIndex0)) | (v130(constB173, bitIndex0) <=> b110(bitIndex0)))),
% 16.18/11.42 inference(rewrite,[status(thm)],[])).
% 16.18/11.42 tff(25449,plain,
% 16.18/11.42 ((~![B: $i] : ((~less_3(B)) | (v130(constB173, B) <=> b110(B)))) | ((~less_3(bitIndex0)) | (v130(constB173, bitIndex0) <=> b110(bitIndex0)))),
% 16.18/11.42 inference(quant_inst,[status(thm)],[])).
% 16.18/11.42 tff(25450,plain,
% 16.18/11.42 ((~![B: $i] : ((~less_3(B)) | (v130(constB173, B) <=> b110(B)))) | (~less_3(bitIndex0)) | (v130(constB173, bitIndex0) <=> b110(bitIndex0))),
% 16.18/11.42 inference(modus_ponens,[status(thm)],[25449, 25448])).
% 16.18/11.42 tff(25451,plain,
% 16.18/11.42 (v130(constB173, bitIndex0) <=> b110(bitIndex0)),
% 16.18/11.42 inference(unit_resolution,[status(thm)],[25450, 5004, 25416])).
% 16.18/11.42 tff(25452,plain,
% 16.18/11.42 ((~(v130(constB173, bitIndex0) <=> b110(bitIndex0))) | (~v130(constB173, bitIndex0)) | b110(bitIndex0)),
% 16.18/11.42 inference(tautology,[status(thm)],[])).
% 16.18/11.42 tff(25453,plain,
% 16.18/11.42 ((~(v130(constB173, bitIndex0) <=> b110(bitIndex0))) | (~v130(constB173, bitIndex0))),
% 16.18/11.42 inference(unit_resolution,[status(thm)],[25452, 5415])).
% 16.18/11.42 tff(25454,plain,
% 16.18/11.42 (~v130(constB173, bitIndex0)),
% 16.18/11.42 inference(unit_resolution,[status(thm)],[25453, 25451])).
% 16.18/11.42 tff(25455,plain,
% 16.18/11.42 ((~(v127(constB173, bitIndex0) <=> v130(constB173, bitIndex0))) | (~v127(constB173, bitIndex0)) | v130(constB173, bitIndex0)),
% 16.18/11.42 inference(tautology,[status(thm)],[])).
% 16.18/11.42 tff(25456,plain,
% 16.18/11.42 (~v127(constB173, bitIndex0)),
% 16.18/11.42 inference(unit_resolution,[status(thm)],[25455, 25454, 25447])).
% 16.18/11.42 tff(25457,plain,
% 16.18/11.42 ((~(v129(constB174, bitIndex0) <=> v127(constB173, bitIndex0))) | (~v129(constB174, bitIndex0)) | v127(constB173, bitIndex0)),
% 16.18/11.42 inference(tautology,[status(thm)],[])).
% 16.18/11.42 tff(25458,plain,
% 16.18/11.42 (~v129(constB174, bitIndex0)),
% 16.18/11.42 inference(unit_resolution,[status(thm)],[25457, 25456, 25443])).
% 16.18/11.42 tff(25459,plain,
% 16.18/11.42 ((~(v90(constB174, bitIndex0) <=> v129(constB174, bitIndex0))) | (~v90(constB174, bitIndex0)) | v129(constB174, bitIndex0)),
% 16.18/11.42 inference(tautology,[status(thm)],[])).
% 16.18/11.42 tff(25460,plain,
% 16.18/11.42 (~v90(constB174, bitIndex0)),
% 16.18/11.42 inference(unit_resolution,[status(thm)],[25459, 25458, 25439])).
% 16.18/11.42 tff(25461,plain,
% 16.18/11.42 ((~(v90(constB175, bitIndex0) <=> v90(constB174, bitIndex0))) | (~v90(constB175, bitIndex0)) | v90(constB174, bitIndex0)),
% 16.18/11.42 inference(tautology,[status(thm)],[])).
% 16.18/11.42 tff(25462,plain,
% 16.18/11.42 (~v90(constB175, bitIndex0)),
% 16.18/11.42 inference(unit_resolution,[status(thm)],[25461, 25460, 25435])).
% 16.18/11.42 tff(25463,plain,
% 16.18/11.42 (((~![B: $i] : ((~less_3(B)) | (v90(constB175, B) <=> v90(constB174, B)))) | ((~less_3(bitIndex1)) | (v90(constB175, bitIndex1) <=> v90(constB174, bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v90(constB175, B) <=> v90(constB174, B)))) | (~less_3(bitIndex1)) | (v90(constB175, bitIndex1) <=> v90(constB174, bitIndex1)))),
% 16.18/11.42 inference(rewrite,[status(thm)],[])).
% 16.18/11.42 tff(25464,plain,
% 16.18/11.42 ((~![B: $i] : ((~less_3(B)) | (v90(constB175, B) <=> v90(constB174, B)))) | ((~less_3(bitIndex1)) | (v90(constB175, bitIndex1) <=> v90(constB174, bitIndex1)))),
% 16.18/11.42 inference(quant_inst,[status(thm)],[])).
% 16.18/11.42 tff(25465,plain,
% 16.18/11.42 ((~![B: $i] : ((~less_3(B)) | (v90(constB175, B) <=> v90(constB174, B)))) | (~less_3(bitIndex1)) | (v90(constB175, bitIndex1) <=> v90(constB174, bitIndex1))),
% 16.18/11.42 inference(modus_ponens,[status(thm)],[25464, 25463])).
% 16.18/11.42 tff(25466,plain,
% 16.18/11.42 (v90(constB175, bitIndex1) <=> v90(constB174, bitIndex1)),
% 16.18/11.43 inference(unit_resolution,[status(thm)],[25465, 5017, 24783])).
% 16.18/11.43 tff(25467,plain,
% 16.18/11.43 (((~![B: $i] : ((~less_3(B)) | (v90(constB174, B) <=> v129(constB174, B)))) | ((~less_3(bitIndex1)) | (v90(constB174, bitIndex1) <=> v129(constB174, bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v90(constB174, B) <=> v129(constB174, B)))) | (~less_3(bitIndex1)) | (v90(constB174, bitIndex1) <=> v129(constB174, bitIndex1)))),
% 16.18/11.43 inference(rewrite,[status(thm)],[])).
% 16.18/11.43 tff(25468,plain,
% 16.18/11.43 ((~![B: $i] : ((~less_3(B)) | (v90(constB174, B) <=> v129(constB174, B)))) | ((~less_3(bitIndex1)) | (v90(constB174, bitIndex1) <=> v129(constB174, bitIndex1)))),
% 16.18/11.43 inference(quant_inst,[status(thm)],[])).
% 16.18/11.43 tff(25469,plain,
% 16.18/11.43 ((~![B: $i] : ((~less_3(B)) | (v90(constB174, B) <=> v129(constB174, B)))) | (~less_3(bitIndex1)) | (v90(constB174, bitIndex1) <=> v129(constB174, bitIndex1))),
% 16.18/11.43 inference(modus_ponens,[status(thm)],[25468, 25467])).
% 16.18/11.43 tff(25470,plain,
% 16.18/11.43 (v90(constB174, bitIndex1) <=> v129(constB174, bitIndex1)),
% 16.18/11.43 inference(unit_resolution,[status(thm)],[25469, 5017, 25391])).
% 16.18/11.43 tff(25471,plain,
% 16.18/11.43 (((~![B: $i] : ((~less_3(B)) | (v129(constB174, B) <=> v127(constB173, B)))) | ((~less_3(bitIndex1)) | (v129(constB174, bitIndex1) <=> v127(constB173, bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v129(constB174, B) <=> v127(constB173, B)))) | (~less_3(bitIndex1)) | (v129(constB174, bitIndex1) <=> v127(constB173, bitIndex1)))),
% 16.18/11.43 inference(rewrite,[status(thm)],[])).
% 16.18/11.43 tff(25472,plain,
% 16.18/11.43 ((~![B: $i] : ((~less_3(B)) | (v129(constB174, B) <=> v127(constB173, B)))) | ((~less_3(bitIndex1)) | (v129(constB174, bitIndex1) <=> v127(constB173, bitIndex1)))),
% 16.18/11.43 inference(quant_inst,[status(thm)],[])).
% 16.18/11.43 tff(25473,plain,
% 16.18/11.43 ((~![B: $i] : ((~less_3(B)) | (v129(constB174, B) <=> v127(constB173, B)))) | (~less_3(bitIndex1)) | (v129(constB174, bitIndex1) <=> v127(constB173, bitIndex1))),
% 16.18/11.43 inference(modus_ponens,[status(thm)],[25472, 25471])).
% 16.18/11.43 tff(25474,plain,
% 16.18/11.43 (v129(constB174, bitIndex1) <=> v127(constB173, bitIndex1)),
% 16.18/11.43 inference(unit_resolution,[status(thm)],[25473, 5017, 25399])).
% 16.18/11.43 tff(25475,plain,
% 16.18/11.43 (((~![B: $i] : ((~less_3(B)) | (v127(constB173, B) <=> v130(constB173, B)))) | ((~less_3(bitIndex1)) | (v127(constB173, bitIndex1) <=> v130(constB173, bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v127(constB173, B) <=> v130(constB173, B)))) | (~less_3(bitIndex1)) | (v127(constB173, bitIndex1) <=> v130(constB173, bitIndex1)))),
% 16.18/11.43 inference(rewrite,[status(thm)],[])).
% 16.18/11.43 tff(25476,plain,
% 16.18/11.43 ((~![B: $i] : ((~less_3(B)) | (v127(constB173, B) <=> v130(constB173, B)))) | ((~less_3(bitIndex1)) | (v127(constB173, bitIndex1) <=> v130(constB173, bitIndex1)))),
% 16.18/11.43 inference(quant_inst,[status(thm)],[])).
% 16.18/11.43 tff(25477,plain,
% 16.18/11.43 ((~![B: $i] : ((~less_3(B)) | (v127(constB173, B) <=> v130(constB173, B)))) | (~less_3(bitIndex1)) | (v127(constB173, bitIndex1) <=> v130(constB173, bitIndex1))),
% 16.18/11.43 inference(modus_ponens,[status(thm)],[25476, 25475])).
% 16.18/11.43 tff(25478,plain,
% 16.18/11.43 (v127(constB173, bitIndex1) <=> v130(constB173, bitIndex1)),
% 16.18/11.43 inference(unit_resolution,[status(thm)],[25477, 5017, 25407])).
% 16.18/11.43 tff(25479,plain,
% 16.18/11.43 (((~![B: $i] : ((~less_3(B)) | (v130(constB173, B) <=> b110(B)))) | ((~less_3(bitIndex1)) | (v130(constB173, bitIndex1) <=> b110(bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v130(constB173, B) <=> b110(B)))) | (~less_3(bitIndex1)) | (v130(constB173, bitIndex1) <=> b110(bitIndex1)))),
% 16.18/11.43 inference(rewrite,[status(thm)],[])).
% 16.18/11.43 tff(25480,plain,
% 16.18/11.43 ((~![B: $i] : ((~less_3(B)) | (v130(constB173, B) <=> b110(B)))) | ((~less_3(bitIndex1)) | (v130(constB173, bitIndex1) <=> b110(bitIndex1)))),
% 16.18/11.43 inference(quant_inst,[status(thm)],[])).
% 16.18/11.43 tff(25481,plain,
% 16.18/11.43 ((~![B: $i] : ((~less_3(B)) | (v130(constB173, B) <=> b110(B)))) | (~less_3(bitIndex1)) | (v130(constB173, bitIndex1) <=> b110(bitIndex1))),
% 16.18/11.43 inference(modus_ponens,[status(thm)],[25480, 25479])).
% 16.18/11.43 tff(25482,plain,
% 16.18/11.43 (v130(constB173, bitIndex1) <=> b110(bitIndex1)),
% 16.18/11.43 inference(unit_resolution,[status(thm)],[25481, 5017, 25416])).
% 16.18/11.43 tff(25483,plain,
% 16.18/11.43 ((~(v130(constB173, bitIndex1) <=> b110(bitIndex1))) | v130(constB173, bitIndex1) | (~b110(bitIndex1))),
% 16.18/11.43 inference(tautology,[status(thm)],[])).
% 16.18/11.43 tff(25484,plain,
% 16.18/11.43 ((~(v130(constB173, bitIndex1) <=> b110(bitIndex1))) | v130(constB173, bitIndex1)),
% 16.18/11.43 inference(unit_resolution,[status(thm)],[25483, 5449])).
% 16.18/11.43 tff(25485,plain,
% 16.18/11.43 (v130(constB173, bitIndex1)),
% 16.18/11.43 inference(unit_resolution,[status(thm)],[25484, 25482])).
% 16.18/11.43 tff(25486,plain,
% 16.18/11.43 ((~(v127(constB173, bitIndex1) <=> v130(constB173, bitIndex1))) | v127(constB173, bitIndex1) | (~v130(constB173, bitIndex1))),
% 16.18/11.43 inference(tautology,[status(thm)],[])).
% 16.18/11.43 tff(25487,plain,
% 16.18/11.43 (v127(constB173, bitIndex1)),
% 16.18/11.43 inference(unit_resolution,[status(thm)],[25486, 25485, 25478])).
% 16.18/11.43 tff(25488,plain,
% 16.18/11.43 ((~(v129(constB174, bitIndex1) <=> v127(constB173, bitIndex1))) | v129(constB174, bitIndex1) | (~v127(constB173, bitIndex1))),
% 16.18/11.43 inference(tautology,[status(thm)],[])).
% 16.18/11.43 tff(25489,plain,
% 16.18/11.43 (v129(constB174, bitIndex1)),
% 16.18/11.43 inference(unit_resolution,[status(thm)],[25488, 25487, 25474])).
% 16.18/11.43 tff(25490,plain,
% 16.18/11.43 ((~(v90(constB174, bitIndex1) <=> v129(constB174, bitIndex1))) | v90(constB174, bitIndex1) | (~v129(constB174, bitIndex1))),
% 16.18/11.43 inference(tautology,[status(thm)],[])).
% 16.18/11.43 tff(25491,plain,
% 16.18/11.43 (v90(constB174, bitIndex1)),
% 16.18/11.43 inference(unit_resolution,[status(thm)],[25490, 25489, 25470])).
% 16.18/11.43 tff(25492,plain,
% 16.18/11.43 ((~(v90(constB175, bitIndex1) <=> v90(constB174, bitIndex1))) | v90(constB175, bitIndex1) | (~v90(constB174, bitIndex1))),
% 16.18/11.43 inference(tautology,[status(thm)],[])).
% 16.18/11.43 tff(25493,plain,
% 16.18/11.43 (v90(constB175, bitIndex1)),
% 16.18/11.43 inference(unit_resolution,[status(thm)],[25492, 25491, 25466])).
% 16.18/11.43 tff(25494,plain,
% 16.18/11.43 ((~((~v90(constB175, bitIndex2)) | (~v90(constB175, bitIndex1)) | v90(constB175, bitIndex0))) | (~v90(constB175, bitIndex2)) | (~v90(constB175, bitIndex1)) | v90(constB175, bitIndex0)),
% 16.18/11.43 inference(tautology,[status(thm)],[])).
% 16.18/11.43 tff(25495,plain,
% 16.18/11.43 (~((~v90(constB175, bitIndex2)) | (~v90(constB175, bitIndex1)) | v90(constB175, bitIndex0))),
% 16.18/11.43 inference(unit_resolution,[status(thm)],[25494, 25493, 25462, 25431])).
% 16.18/11.43 tff(25496,plain,
% 16.18/11.43 ((~(v125(constB175) <=> (~((~v90(constB175, bitIndex2)) | (~v90(constB175, bitIndex1)) | v90(constB175, bitIndex0))))) | v125(constB175) | ((~v90(constB175, bitIndex2)) | (~v90(constB175, bitIndex1)) | v90(constB175, bitIndex0))),
% 16.18/11.43 inference(tautology,[status(thm)],[])).
% 16.18/11.43 tff(25497,plain,
% 16.18/11.43 (v125(constB175)),
% 16.18/11.43 inference(unit_resolution,[status(thm)],[25496, 25495, 24755])).
% 16.18/11.43 tff(25498,plain,
% 16.18/11.43 ((v114(constB175) | v125(constB175)) | (~v125(constB175))),
% 16.18/11.43 inference(tautology,[status(thm)],[])).
% 16.18/11.43 tff(25499,plain,
% 16.18/11.43 (v114(constB175) | v125(constB175)),
% 16.18/11.43 inference(unit_resolution,[status(thm)],[25498, 25497])).
% 16.18/11.43 tff(25500,plain,
% 16.18/11.43 ((~(v113(constB175) <=> (v114(constB175) | v125(constB175)))) | v113(constB175) | (~(v114(constB175) | v125(constB175)))),
% 16.18/11.43 inference(tautology,[status(thm)],[])).
% 16.18/11.43 tff(25501,plain,
% 16.18/11.43 (v113(constB175)),
% 16.18/11.43 inference(unit_resolution,[status(thm)],[25500, 25499, 24748])).
% 16.18/11.43 tff(25502,plain,
% 16.18/11.43 ((~![VarCurr: $i] : ((~v126(VarCurr)) <=> v111(VarCurr))) | ((~v126(constB175)) <=> v111(constB175))),
% 16.18/11.43 inference(quant_inst,[status(thm)],[])).
% 16.18/11.43 tff(25503,plain,
% 16.18/11.43 ((~v126(constB175)) <=> v111(constB175)),
% 16.18/11.43 inference(unit_resolution,[status(thm)],[25502, 5074])).
% 16.18/11.43 tff(25504,plain,
% 16.18/11.43 ((~![VarCurr: $i] : (v111(VarCurr) <=> v26(VarCurr))) | (v111(constB175) <=> v26(constB175))),
% 16.18/11.43 inference(quant_inst,[status(thm)],[])).
% 16.18/11.43 tff(25505,plain,
% 16.18/11.43 (v111(constB175) <=> v26(constB175)),
% 16.18/11.43 inference(unit_resolution,[status(thm)],[25504, 5086])).
% 16.18/11.43 tff(25506,plain,
% 16.18/11.43 ((~![VarCurr: $i] : (~v26(VarCurr))) | (~v26(constB175))),
% 16.18/11.43 inference(quant_inst,[status(thm)],[])).
% 16.18/11.43 tff(25507,plain,
% 16.18/11.43 (~v26(constB175)),
% 16.18/11.43 inference(unit_resolution,[status(thm)],[25506, 5098])).
% 16.18/11.43 tff(25508,plain,
% 16.18/11.43 ((~(v111(constB175) <=> v26(constB175))) | (~v111(constB175)) | v26(constB175)),
% 16.18/11.43 inference(tautology,[status(thm)],[])).
% 16.18/11.43 tff(25509,plain,
% 16.18/11.43 ((~(v111(constB175) <=> v26(constB175))) | (~v111(constB175))),
% 16.18/11.43 inference(unit_resolution,[status(thm)],[25508, 25507])).
% 16.18/11.43 tff(25510,plain,
% 16.18/11.43 (~v111(constB175)),
% 16.18/11.43 inference(unit_resolution,[status(thm)],[25509, 25505])).
% 16.18/11.43 tff(25511,plain,
% 16.18/11.43 ((~((~v126(constB175)) <=> v111(constB175))) | v126(constB175) | v111(constB175)),
% 16.18/11.43 inference(tautology,[status(thm)],[])).
% 16.18/11.43 tff(25512,plain,
% 16.18/11.43 ((~((~v126(constB175)) <=> v111(constB175))) | v126(constB175)),
% 16.18/11.43 inference(unit_resolution,[status(thm)],[25511, 25510])).
% 16.18/11.43 tff(25513,plain,
% 16.18/11.43 (v126(constB175)),
% 16.18/11.43 inference(unit_resolution,[status(thm)],[25512, 25503])).
% 16.18/11.43 tff(25514,plain,
% 16.18/11.43 ((~((~v113(constB175)) | (~v126(constB175)))) | (~v113(constB175)) | (~v126(constB175))),
% 16.18/11.43 inference(tautology,[status(thm)],[])).
% 16.18/11.43 tff(25515,plain,
% 16.18/11.43 ((~((~v113(constB175)) | (~v126(constB175)))) | (~v113(constB175))),
% 16.18/11.43 inference(unit_resolution,[status(thm)],[25514, 25513])).
% 16.18/11.43 tff(25516,plain,
% 16.18/11.43 (~((~v113(constB175)) | (~v126(constB175)))),
% 16.18/11.43 inference(unit_resolution,[status(thm)],[25515, 25501])).
% 16.18/11.43 tff(25517,plain,
% 16.18/11.43 ((~(v112(constB175) <=> (~((~v113(constB175)) | (~v126(constB175)))))) | v112(constB175) | ((~v113(constB175)) | (~v126(constB175)))),
% 16.18/11.43 inference(tautology,[status(thm)],[])).
% 16.18/11.43 tff(25518,plain,
% 16.18/11.43 (v112(constB175)),
% 16.18/11.43 inference(unit_resolution,[status(thm)],[25517, 25516, 24746])).
% 16.18/11.43 tff(25519,plain,
% 16.18/11.43 ((v111(constB175) | v112(constB175)) | (~v112(constB175))),
% 16.18/11.43 inference(tautology,[status(thm)],[])).
% 16.18/11.43 tff(25520,plain,
% 16.18/11.43 (v111(constB175) | v112(constB175)),
% 16.18/11.43 inference(unit_resolution,[status(thm)],[25519, 25518])).
% 16.18/11.43 tff(25521,plain,
% 16.18/11.43 ((~(v108(constB175) <=> (v111(constB175) | v112(constB175)))) | v108(constB175) | (~(v111(constB175) | v112(constB175)))),
% 16.18/11.43 inference(tautology,[status(thm)],[])).
% 16.18/11.43 tff(25522,plain,
% 16.18/11.43 (v108(constB175)),
% 16.18/11.43 inference(unit_resolution,[status(thm)],[25521, 25520, 24744])).
% 16.18/11.43 tff(25523,plain,
% 16.18/11.43 ((~(v110(constB176) <=> v108(constB175))) | v110(constB176) | (~v108(constB175))),
% 16.18/11.43 inference(tautology,[status(thm)],[])).
% 16.18/11.43 tff(25524,plain,
% 16.18/11.43 (v110(constB176)),
% 16.18/11.43 inference(unit_resolution,[status(thm)],[25523, 25522, 24742])).
% 16.18/11.43 tff(25525,plain,
% 16.18/11.43 ((~((~v101(constB176)) | (~v110(constB176)))) | (~v101(constB176)) | (~v110(constB176))),
% 16.18/11.43 inference(tautology,[status(thm)],[])).
% 16.18/11.43 tff(25526,plain,
% 16.18/11.43 (~((~v101(constB176)) | (~v110(constB176)))),
% 16.18/11.43 inference(unit_resolution,[status(thm)],[25525, 25524, 24738])).
% 16.18/11.43 tff(25527,plain,
% 16.18/11.43 ((~(v100(constB176) <=> (~((~v101(constB176)) | (~v110(constB176)))))) | v100(constB176) | ((~v101(constB176)) | (~v110(constB176)))),
% 16.18/11.43 inference(tautology,[status(thm)],[])).
% 16.18/11.43 tff(25528,plain,
% 16.18/11.43 (v100(constB176)),
% 16.18/11.43 inference(unit_resolution,[status(thm)],[25527, 25526, 24707])).
% 16.18/11.43 tff(25529,plain,
% 16.18/11.43 (((~![VarNext: $i] : ((~v100(VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v129(VarNext, B))))) | ((~v100(constB176)) | ![B: $i] : ((~less_3(B)) | (v90(constB176, B) <=> v129(constB176, B))))) <=> ((~![VarNext: $i] : ((~v100(VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v129(VarNext, B))))) | (~v100(constB176)) | ![B: $i] : ((~less_3(B)) | (v90(constB176, B) <=> v129(constB176, B))))),
% 16.18/11.43 inference(rewrite,[status(thm)],[])).
% 16.18/11.43 tff(25530,plain,
% 16.18/11.43 ((~![VarNext: $i] : ((~v100(VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v129(VarNext, B))))) | ((~v100(constB176)) | ![B: $i] : ((~less_3(B)) | (v90(constB176, B) <=> v129(constB176, B))))),
% 16.18/11.43 inference(quant_inst,[status(thm)],[])).
% 16.18/11.43 tff(25531,plain,
% 16.18/11.43 ((~![VarNext: $i] : ((~v100(VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v129(VarNext, B))))) | (~v100(constB176)) | ![B: $i] : ((~less_3(B)) | (v90(constB176, B) <=> v129(constB176, B)))),
% 16.18/11.43 inference(modus_ponens,[status(thm)],[25530, 25529])).
% 16.18/11.43 tff(25532,plain,
% 16.18/11.43 ((~v100(constB176)) | ![B: $i] : ((~less_3(B)) | (v90(constB176, B) <=> v129(constB176, B)))),
% 16.18/11.43 inference(unit_resolution,[status(thm)],[25531, 5134])).
% 16.18/11.43 tff(25533,plain,
% 16.18/11.43 (![B: $i] : ((~less_3(B)) | (v90(constB176, B) <=> v129(constB176, B)))),
% 16.18/11.43 inference(unit_resolution,[status(thm)],[25532, 25528])).
% 16.18/11.43 tff(25534,plain,
% 16.18/11.43 (((~![B: $i] : ((~less_3(B)) | (v90(constB176, B) <=> v129(constB176, B)))) | ((~less_3(bitIndex2)) | (v90(constB176, bitIndex2) <=> v129(constB176, bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v90(constB176, B) <=> v129(constB176, B)))) | (~less_3(bitIndex2)) | (v90(constB176, bitIndex2) <=> v129(constB176, bitIndex2)))),
% 16.18/11.43 inference(rewrite,[status(thm)],[])).
% 16.18/11.43 tff(25535,plain,
% 16.18/11.43 ((~![B: $i] : ((~less_3(B)) | (v90(constB176, B) <=> v129(constB176, B)))) | ((~less_3(bitIndex2)) | (v90(constB176, bitIndex2) <=> v129(constB176, bitIndex2)))),
% 16.18/11.43 inference(quant_inst,[status(thm)],[])).
% 16.18/11.43 tff(25536,plain,
% 16.18/11.43 ((~![B: $i] : ((~less_3(B)) | (v90(constB176, B) <=> v129(constB176, B)))) | (~less_3(bitIndex2)) | (v90(constB176, bitIndex2) <=> v129(constB176, bitIndex2))),
% 16.18/11.43 inference(modus_ponens,[status(thm)],[25535, 25534])).
% 16.18/11.43 tff(25537,plain,
% 16.18/11.43 (v90(constB176, bitIndex2) <=> v129(constB176, bitIndex2)),
% 16.18/11.43 inference(unit_resolution,[status(thm)],[25536, 413, 25533])).
% 16.18/11.43 tff(25538,plain,
% 16.18/11.43 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v129(VarNext, B) <=> v127(VarCurr, B))))) | ((~nextState(constB175, constB176)) | ![B: $i] : ((~less_3(B)) | (v129(constB176, B) <=> v127(constB175, B))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v129(VarNext, B) <=> v127(VarCurr, B))))) | (~nextState(constB175, constB176)) | ![B: $i] : ((~less_3(B)) | (v129(constB176, B) <=> v127(constB175, B))))),
% 16.18/11.44 inference(rewrite,[status(thm)],[])).
% 16.18/11.44 tff(25539,plain,
% 16.18/11.44 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v129(VarNext, B) <=> v127(VarCurr, B))))) | ((~nextState(constB175, constB176)) | ![B: $i] : ((~less_3(B)) | (v129(constB176, B) <=> v127(constB175, B))))),
% 16.18/11.44 inference(quant_inst,[status(thm)],[])).
% 16.18/11.44 tff(25540,plain,
% 16.18/11.44 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v129(VarNext, B) <=> v127(VarCurr, B))))) | (~nextState(constB175, constB176)) | ![B: $i] : ((~less_3(B)) | (v129(constB176, B) <=> v127(constB175, B)))),
% 16.18/11.44 inference(modus_ponens,[status(thm)],[25539, 25538])).
% 16.18/11.44 tff(25541,plain,
% 16.18/11.44 (![B: $i] : ((~less_3(B)) | (v129(constB176, B) <=> v127(constB175, B)))),
% 16.18/11.44 inference(unit_resolution,[status(thm)],[25540, 24703, 5156])).
% 16.18/11.44 tff(25542,plain,
% 16.18/11.44 (((~![B: $i] : ((~less_3(B)) | (v129(constB176, B) <=> v127(constB175, B)))) | ((~less_3(bitIndex2)) | (v129(constB176, bitIndex2) <=> v127(constB175, bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v129(constB176, B) <=> v127(constB175, B)))) | (~less_3(bitIndex2)) | (v129(constB176, bitIndex2) <=> v127(constB175, bitIndex2)))),
% 16.18/11.44 inference(rewrite,[status(thm)],[])).
% 16.18/11.44 tff(25543,plain,
% 16.18/11.44 ((~![B: $i] : ((~less_3(B)) | (v129(constB176, B) <=> v127(constB175, B)))) | ((~less_3(bitIndex2)) | (v129(constB176, bitIndex2) <=> v127(constB175, bitIndex2)))),
% 16.18/11.44 inference(quant_inst,[status(thm)],[])).
% 16.18/11.44 tff(25544,plain,
% 16.18/11.44 ((~![B: $i] : ((~less_3(B)) | (v129(constB176, B) <=> v127(constB175, B)))) | (~less_3(bitIndex2)) | (v129(constB176, bitIndex2) <=> v127(constB175, bitIndex2))),
% 16.18/11.44 inference(modus_ponens,[status(thm)],[25543, 25542])).
% 16.18/11.44 tff(25545,plain,
% 16.18/11.44 (v129(constB176, bitIndex2) <=> v127(constB175, bitIndex2)),
% 16.18/11.44 inference(unit_resolution,[status(thm)],[25544, 413, 25541])).
% 16.18/11.44 tff(25546,plain,
% 16.18/11.44 (((~![VarCurr: $i] : (v111(VarCurr) | ![B: $i] : ((~less_3(B)) | (v127(VarCurr, B) <=> v130(VarCurr, B))))) | (v111(constB175) | ![B: $i] : ((~less_3(B)) | (v127(constB175, B) <=> v130(constB175, B))))) <=> ((~![VarCurr: $i] : (v111(VarCurr) | ![B: $i] : ((~less_3(B)) | (v127(VarCurr, B) <=> v130(VarCurr, B))))) | v111(constB175) | ![B: $i] : ((~less_3(B)) | (v127(constB175, B) <=> v130(constB175, B))))),
% 16.18/11.44 inference(rewrite,[status(thm)],[])).
% 16.18/11.44 tff(25547,plain,
% 16.18/11.44 ((~![VarCurr: $i] : (v111(VarCurr) | ![B: $i] : ((~less_3(B)) | (v127(VarCurr, B) <=> v130(VarCurr, B))))) | (v111(constB175) | ![B: $i] : ((~less_3(B)) | (v127(constB175, B) <=> v130(constB175, B))))),
% 16.18/11.44 inference(quant_inst,[status(thm)],[])).
% 16.18/11.44 tff(25548,plain,
% 16.18/11.44 ((~![VarCurr: $i] : (v111(VarCurr) | ![B: $i] : ((~less_3(B)) | (v127(VarCurr, B) <=> v130(VarCurr, B))))) | v111(constB175) | ![B: $i] : ((~less_3(B)) | (v127(constB175, B) <=> v130(constB175, B)))),
% 16.18/11.44 inference(modus_ponens,[status(thm)],[25547, 25546])).
% 16.18/11.44 tff(25549,plain,
% 16.18/11.44 (![B: $i] : ((~less_3(B)) | (v127(constB175, B) <=> v130(constB175, B)))),
% 16.18/11.44 inference(unit_resolution,[status(thm)],[25548, 5177, 25510])).
% 16.18/11.44 tff(25550,plain,
% 16.18/11.44 (((~![B: $i] : ((~less_3(B)) | (v127(constB175, B) <=> v130(constB175, B)))) | ((~less_3(bitIndex2)) | (v127(constB175, bitIndex2) <=> v130(constB175, bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v127(constB175, B) <=> v130(constB175, B)))) | (~less_3(bitIndex2)) | (v127(constB175, bitIndex2) <=> v130(constB175, bitIndex2)))),
% 16.18/11.44 inference(rewrite,[status(thm)],[])).
% 16.18/11.44 tff(25551,plain,
% 16.18/11.44 ((~![B: $i] : ((~less_3(B)) | (v127(constB175, B) <=> v130(constB175, B)))) | ((~less_3(bitIndex2)) | (v127(constB175, bitIndex2) <=> v130(constB175, bitIndex2)))),
% 16.18/11.44 inference(quant_inst,[status(thm)],[])).
% 16.18/11.44 tff(25552,plain,
% 16.18/11.44 ((~![B: $i] : ((~less_3(B)) | (v127(constB175, B) <=> v130(constB175, B)))) | (~less_3(bitIndex2)) | (v127(constB175, bitIndex2) <=> v130(constB175, bitIndex2))),
% 16.18/11.44 inference(modus_ponens,[status(thm)],[25551, 25550])).
% 16.18/11.44 tff(25553,plain,
% 16.18/11.44 (v127(constB175, bitIndex2) <=> v130(constB175, bitIndex2)),
% 16.18/11.44 inference(unit_resolution,[status(thm)],[25552, 413, 25549])).
% 16.18/11.44 tff(25554,plain,
% 16.18/11.44 ((~![VarCurr: $i] : (v119(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))))) | (v119(constB175) <=> (~(v90(constB175, bitIndex0) | v90(constB175, bitIndex1) | v90(constB175, bitIndex2))))),
% 16.18/11.44 inference(quant_inst,[status(thm)],[])).
% 16.18/11.44 tff(25555,plain,
% 16.18/11.44 (v119(constB175) <=> (~(v90(constB175, bitIndex0) | v90(constB175, bitIndex1) | v90(constB175, bitIndex2)))),
% 16.18/11.44 inference(unit_resolution,[status(thm)],[25554, 4971])).
% 16.18/11.44 tff(25556,plain,
% 16.18/11.44 ((v90(constB175, bitIndex0) | v90(constB175, bitIndex1) | v90(constB175, bitIndex2)) | (~v90(constB175, bitIndex2))),
% 16.18/11.44 inference(tautology,[status(thm)],[])).
% 16.18/11.44 tff(25557,plain,
% 16.18/11.44 (v90(constB175, bitIndex0) | v90(constB175, bitIndex1) | v90(constB175, bitIndex2)),
% 16.18/11.44 inference(unit_resolution,[status(thm)],[25556, 25431])).
% 16.18/11.44 tff(25558,plain,
% 16.18/11.44 ((~(v119(constB175) <=> (~(v90(constB175, bitIndex0) | v90(constB175, bitIndex1) | v90(constB175, bitIndex2))))) | (~v119(constB175)) | (~(v90(constB175, bitIndex0) | v90(constB175, bitIndex1) | v90(constB175, bitIndex2)))),
% 16.18/11.44 inference(tautology,[status(thm)],[])).
% 16.18/11.44 tff(25559,plain,
% 16.18/11.44 (~v119(constB175)),
% 16.18/11.44 inference(unit_resolution,[status(thm)],[25558, 25557, 25555])).
% 16.18/11.44 tff(25560,plain,
% 16.18/11.44 (((~![VarCurr: $i] : (v124(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex2)))))) | (v124(constB175) <=> (~((~v90(constB175, bitIndex2)) | v90(constB175, bitIndex1) | (~v90(constB175, bitIndex0)))))) <=> ((~![VarCurr: $i] : (v124(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex2)))))) | (v124(constB175) <=> (~((~v90(constB175, bitIndex2)) | v90(constB175, bitIndex1) | (~v90(constB175, bitIndex0))))))),
% 16.18/11.44 inference(rewrite,[status(thm)],[])).
% 16.18/11.44 tff(25561,plain,
% 16.18/11.44 ((v124(constB175) <=> (~(v90(constB175, bitIndex1) | (~v90(constB175, bitIndex0)) | (~v90(constB175, bitIndex2))))) <=> (v124(constB175) <=> (~((~v90(constB175, bitIndex2)) | v90(constB175, bitIndex1) | (~v90(constB175, bitIndex0)))))),
% 16.18/11.44 inference(rewrite,[status(thm)],[])).
% 16.18/11.44 tff(25562,plain,
% 16.18/11.44 (((~![VarCurr: $i] : (v124(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex2)))))) | (v124(constB175) <=> (~(v90(constB175, bitIndex1) | (~v90(constB175, bitIndex0)) | (~v90(constB175, bitIndex2)))))) <=> ((~![VarCurr: $i] : (v124(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex2)))))) | (v124(constB175) <=> (~((~v90(constB175, bitIndex2)) | v90(constB175, bitIndex1) | (~v90(constB175, bitIndex0))))))),
% 16.18/11.44 inference(monotonicity,[status(thm)],[25561])).
% 16.18/11.44 tff(25563,plain,
% 16.18/11.44 (((~![VarCurr: $i] : (v124(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex2)))))) | (v124(constB175) <=> (~(v90(constB175, bitIndex1) | (~v90(constB175, bitIndex0)) | (~v90(constB175, bitIndex2)))))) <=> ((~![VarCurr: $i] : (v124(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex2)))))) | (v124(constB175) <=> (~((~v90(constB175, bitIndex2)) | v90(constB175, bitIndex1) | (~v90(constB175, bitIndex0))))))),
% 16.18/11.44 inference(transitivity,[status(thm)],[25562, 25560])).
% 16.18/11.44 tff(25564,plain,
% 16.18/11.44 ((~![VarCurr: $i] : (v124(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex2)))))) | (v124(constB175) <=> (~(v90(constB175, bitIndex1) | (~v90(constB175, bitIndex0)) | (~v90(constB175, bitIndex2)))))),
% 16.18/11.44 inference(quant_inst,[status(thm)],[])).
% 16.18/11.44 tff(25565,plain,
% 16.18/11.44 ((~![VarCurr: $i] : (v124(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex2)))))) | (v124(constB175) <=> (~((~v90(constB175, bitIndex2)) | v90(constB175, bitIndex1) | (~v90(constB175, bitIndex0)))))),
% 16.18/11.44 inference(modus_ponens,[status(thm)],[25564, 25563])).
% 16.18/11.44 tff(25566,plain,
% 16.18/11.44 (v124(constB175) <=> (~((~v90(constB175, bitIndex2)) | v90(constB175, bitIndex1) | (~v90(constB175, bitIndex0))))),
% 16.18/11.44 inference(unit_resolution,[status(thm)],[25565, 5539])).
% 16.18/11.44 tff(25567,plain,
% 16.18/11.44 (((~v90(constB175, bitIndex2)) | v90(constB175, bitIndex1) | (~v90(constB175, bitIndex0))) | (~v90(constB175, bitIndex1))),
% 16.18/11.44 inference(tautology,[status(thm)],[])).
% 16.18/11.44 tff(25568,plain,
% 16.18/11.44 ((~v90(constB175, bitIndex2)) | v90(constB175, bitIndex1) | (~v90(constB175, bitIndex0))),
% 16.18/11.44 inference(unit_resolution,[status(thm)],[25567, 25493])).
% 16.18/11.44 tff(25569,plain,
% 16.18/11.44 ((~(v124(constB175) <=> (~((~v90(constB175, bitIndex2)) | v90(constB175, bitIndex1) | (~v90(constB175, bitIndex0)))))) | (~v124(constB175)) | (~((~v90(constB175, bitIndex2)) | v90(constB175, bitIndex1) | (~v90(constB175, bitIndex0))))),
% 16.18/11.44 inference(tautology,[status(thm)],[])).
% 16.18/11.44 tff(25570,plain,
% 16.18/11.44 (~v124(constB175)),
% 16.18/11.44 inference(unit_resolution,[status(thm)],[25569, 25568, 25566])).
% 16.18/11.44 tff(25571,plain,
% 16.18/11.44 (((~![VarCurr: $i] : (v123(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)))))) | (v123(constB175) <=> (~((~v90(constB175, bitIndex2)) | v90(constB175, bitIndex1) | v90(constB175, bitIndex0))))) <=> ((~![VarCurr: $i] : (v123(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)))))) | (v123(constB175) <=> (~((~v90(constB175, bitIndex2)) | v90(constB175, bitIndex1) | v90(constB175, bitIndex0)))))),
% 16.18/11.44 inference(rewrite,[status(thm)],[])).
% 16.18/11.44 tff(25572,plain,
% 16.18/11.44 ((v123(constB175) <=> (~(v90(constB175, bitIndex0) | v90(constB175, bitIndex1) | (~v90(constB175, bitIndex2))))) <=> (v123(constB175) <=> (~((~v90(constB175, bitIndex2)) | v90(constB175, bitIndex1) | v90(constB175, bitIndex0))))),
% 16.18/11.44 inference(rewrite,[status(thm)],[])).
% 16.18/11.44 tff(25573,plain,
% 16.18/11.44 (((~![VarCurr: $i] : (v123(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)))))) | (v123(constB175) <=> (~(v90(constB175, bitIndex0) | v90(constB175, bitIndex1) | (~v90(constB175, bitIndex2)))))) <=> ((~![VarCurr: $i] : (v123(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)))))) | (v123(constB175) <=> (~((~v90(constB175, bitIndex2)) | v90(constB175, bitIndex1) | v90(constB175, bitIndex0)))))),
% 16.18/11.44 inference(monotonicity,[status(thm)],[25572])).
% 16.18/11.44 tff(25574,plain,
% 16.18/11.44 (((~![VarCurr: $i] : (v123(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)))))) | (v123(constB175) <=> (~(v90(constB175, bitIndex0) | v90(constB175, bitIndex1) | (~v90(constB175, bitIndex2)))))) <=> ((~![VarCurr: $i] : (v123(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)))))) | (v123(constB175) <=> (~((~v90(constB175, bitIndex2)) | v90(constB175, bitIndex1) | v90(constB175, bitIndex0)))))),
% 16.18/11.44 inference(transitivity,[status(thm)],[25573, 25571])).
% 16.18/11.44 tff(25575,plain,
% 16.18/11.44 ((~![VarCurr: $i] : (v123(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)))))) | (v123(constB175) <=> (~(v90(constB175, bitIndex0) | v90(constB175, bitIndex1) | (~v90(constB175, bitIndex2)))))),
% 16.18/11.44 inference(quant_inst,[status(thm)],[])).
% 16.18/11.44 tff(25576,plain,
% 16.18/11.44 ((~![VarCurr: $i] : (v123(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)))))) | (v123(constB175) <=> (~((~v90(constB175, bitIndex2)) | v90(constB175, bitIndex1) | v90(constB175, bitIndex0))))),
% 16.18/11.44 inference(modus_ponens,[status(thm)],[25575, 25574])).
% 16.18/11.44 tff(25577,plain,
% 16.18/11.44 (v123(constB175) <=> (~((~v90(constB175, bitIndex2)) | v90(constB175, bitIndex1) | v90(constB175, bitIndex0)))),
% 16.18/11.44 inference(unit_resolution,[status(thm)],[25576, 621])).
% 16.18/11.44 tff(25578,plain,
% 16.18/11.44 (((~v90(constB175, bitIndex2)) | v90(constB175, bitIndex1) | v90(constB175, bitIndex0)) | (~v90(constB175, bitIndex1))),
% 16.18/11.44 inference(tautology,[status(thm)],[])).
% 16.18/11.44 tff(25579,plain,
% 16.18/11.44 ((~v90(constB175, bitIndex2)) | v90(constB175, bitIndex1) | v90(constB175, bitIndex0)),
% 16.18/11.44 inference(unit_resolution,[status(thm)],[25578, 25493])).
% 16.18/11.44 tff(25580,plain,
% 16.18/11.44 ((~(v123(constB175) <=> (~((~v90(constB175, bitIndex2)) | v90(constB175, bitIndex1) | v90(constB175, bitIndex0))))) | (~v123(constB175)) | (~((~v90(constB175, bitIndex2)) | v90(constB175, bitIndex1) | v90(constB175, bitIndex0)))),
% 16.18/11.44 inference(tautology,[status(thm)],[])).
% 16.18/11.44 tff(25581,plain,
% 16.18/11.44 (~v123(constB175)),
% 16.18/11.44 inference(unit_resolution,[status(thm)],[25580, 25579, 25577])).
% 16.18/11.44 tff(25582,plain,
% 16.18/11.44 (((~![VarCurr: $i] : (v122(VarCurr) <=> (~(v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)))))) | (v122(constB175) <=> (~(v90(constB175, bitIndex2) | (~v90(constB175, bitIndex1)) | (~v90(constB175, bitIndex0)))))) <=> ((~![VarCurr: $i] : (v122(VarCurr) <=> (~(v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)))))) | (v122(constB175) <=> (~(v90(constB175, bitIndex2) | (~v90(constB175, bitIndex1)) | (~v90(constB175, bitIndex0))))))),
% 16.18/11.44 inference(rewrite,[status(thm)],[])).
% 16.18/11.44 tff(25583,plain,
% 16.18/11.44 ((v122(constB175) <=> (~(v90(constB175, bitIndex2) | (~v90(constB175, bitIndex0)) | (~v90(constB175, bitIndex1))))) <=> (v122(constB175) <=> (~(v90(constB175, bitIndex2) | (~v90(constB175, bitIndex1)) | (~v90(constB175, bitIndex0)))))),
% 16.18/11.44 inference(rewrite,[status(thm)],[])).
% 16.18/11.44 tff(25584,plain,
% 16.18/11.44 (((~![VarCurr: $i] : (v122(VarCurr) <=> (~(v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)))))) | (v122(constB175) <=> (~(v90(constB175, bitIndex2) | (~v90(constB175, bitIndex0)) | (~v90(constB175, bitIndex1)))))) <=> ((~![VarCurr: $i] : (v122(VarCurr) <=> (~(v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)))))) | (v122(constB175) <=> (~(v90(constB175, bitIndex2) | (~v90(constB175, bitIndex1)) | (~v90(constB175, bitIndex0))))))),
% 16.18/11.44 inference(monotonicity,[status(thm)],[25583])).
% 16.18/11.44 tff(25585,plain,
% 16.18/11.44 (((~![VarCurr: $i] : (v122(VarCurr) <=> (~(v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)))))) | (v122(constB175) <=> (~(v90(constB175, bitIndex2) | (~v90(constB175, bitIndex0)) | (~v90(constB175, bitIndex1)))))) <=> ((~![VarCurr: $i] : (v122(VarCurr) <=> (~(v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)))))) | (v122(constB175) <=> (~(v90(constB175, bitIndex2) | (~v90(constB175, bitIndex1)) | (~v90(constB175, bitIndex0))))))),
% 16.18/11.44 inference(transitivity,[status(thm)],[25584, 25582])).
% 16.18/11.44 tff(25586,plain,
% 16.18/11.44 ((~![VarCurr: $i] : (v122(VarCurr) <=> (~(v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)))))) | (v122(constB175) <=> (~(v90(constB175, bitIndex2) | (~v90(constB175, bitIndex0)) | (~v90(constB175, bitIndex1)))))),
% 16.18/11.44 inference(quant_inst,[status(thm)],[])).
% 16.18/11.44 tff(25587,plain,
% 16.18/11.44 ((~![VarCurr: $i] : (v122(VarCurr) <=> (~(v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)))))) | (v122(constB175) <=> (~(v90(constB175, bitIndex2) | (~v90(constB175, bitIndex1)) | (~v90(constB175, bitIndex0)))))),
% 16.18/11.45 inference(modus_ponens,[status(thm)],[25586, 25585])).
% 16.18/11.45 tff(25588,plain,
% 16.18/11.45 (v122(constB175) <=> (~(v90(constB175, bitIndex2) | (~v90(constB175, bitIndex1)) | (~v90(constB175, bitIndex0))))),
% 16.18/11.45 inference(unit_resolution,[status(thm)],[25587, 734])).
% 16.18/11.45 tff(25589,plain,
% 16.18/11.45 ((v90(constB175, bitIndex2) | (~v90(constB175, bitIndex1)) | (~v90(constB175, bitIndex0))) | (~v90(constB175, bitIndex2))),
% 16.18/11.45 inference(tautology,[status(thm)],[])).
% 16.18/11.45 tff(25590,plain,
% 16.18/11.45 (v90(constB175, bitIndex2) | (~v90(constB175, bitIndex1)) | (~v90(constB175, bitIndex0))),
% 16.18/11.45 inference(unit_resolution,[status(thm)],[25589, 25431])).
% 16.18/11.45 tff(25591,plain,
% 16.18/11.45 ((~(v122(constB175) <=> (~(v90(constB175, bitIndex2) | (~v90(constB175, bitIndex1)) | (~v90(constB175, bitIndex0)))))) | (~v122(constB175)) | (~(v90(constB175, bitIndex2) | (~v90(constB175, bitIndex1)) | (~v90(constB175, bitIndex0))))),
% 16.18/11.45 inference(tautology,[status(thm)],[])).
% 16.18/11.45 tff(25592,plain,
% 16.18/11.45 (~v122(constB175)),
% 16.18/11.45 inference(unit_resolution,[status(thm)],[25591, 25590, 25588])).
% 16.18/11.45 tff(25593,plain,
% 16.18/11.45 (((~![VarCurr: $i] : (v121(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex1)))))) | (v121(constB175) <=> (~(v90(constB175, bitIndex2) | (~v90(constB175, bitIndex1)) | v90(constB175, bitIndex0))))) <=> ((~![VarCurr: $i] : (v121(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex1)))))) | (v121(constB175) <=> (~(v90(constB175, bitIndex2) | (~v90(constB175, bitIndex1)) | v90(constB175, bitIndex0)))))),
% 16.18/11.45 inference(rewrite,[status(thm)],[])).
% 16.18/11.45 tff(25594,plain,
% 16.18/11.45 ((v121(constB175) <=> (~(v90(constB175, bitIndex0) | v90(constB175, bitIndex2) | (~v90(constB175, bitIndex1))))) <=> (v121(constB175) <=> (~(v90(constB175, bitIndex2) | (~v90(constB175, bitIndex1)) | v90(constB175, bitIndex0))))),
% 16.18/11.45 inference(rewrite,[status(thm)],[])).
% 16.18/11.45 tff(25595,plain,
% 16.18/11.45 (((~![VarCurr: $i] : (v121(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex1)))))) | (v121(constB175) <=> (~(v90(constB175, bitIndex0) | v90(constB175, bitIndex2) | (~v90(constB175, bitIndex1)))))) <=> ((~![VarCurr: $i] : (v121(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex1)))))) | (v121(constB175) <=> (~(v90(constB175, bitIndex2) | (~v90(constB175, bitIndex1)) | v90(constB175, bitIndex0)))))),
% 16.18/11.45 inference(monotonicity,[status(thm)],[25594])).
% 16.18/11.45 tff(25596,plain,
% 16.18/11.45 (((~![VarCurr: $i] : (v121(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex1)))))) | (v121(constB175) <=> (~(v90(constB175, bitIndex0) | v90(constB175, bitIndex2) | (~v90(constB175, bitIndex1)))))) <=> ((~![VarCurr: $i] : (v121(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex1)))))) | (v121(constB175) <=> (~(v90(constB175, bitIndex2) | (~v90(constB175, bitIndex1)) | v90(constB175, bitIndex0)))))),
% 16.18/11.45 inference(transitivity,[status(thm)],[25595, 25593])).
% 16.18/11.45 tff(25597,plain,
% 16.18/11.45 ((~![VarCurr: $i] : (v121(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex1)))))) | (v121(constB175) <=> (~(v90(constB175, bitIndex0) | v90(constB175, bitIndex2) | (~v90(constB175, bitIndex1)))))),
% 16.18/11.45 inference(quant_inst,[status(thm)],[])).
% 16.18/11.45 tff(25598,plain,
% 16.18/11.45 ((~![VarCurr: $i] : (v121(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex1)))))) | (v121(constB175) <=> (~(v90(constB175, bitIndex2) | (~v90(constB175, bitIndex1)) | v90(constB175, bitIndex0))))),
% 16.18/11.45 inference(modus_ponens,[status(thm)],[25597, 25596])).
% 16.18/11.45 tff(25599,plain,
% 16.18/11.45 (v121(constB175) <=> (~(v90(constB175, bitIndex2) | (~v90(constB175, bitIndex1)) | v90(constB175, bitIndex0)))),
% 16.18/11.45 inference(unit_resolution,[status(thm)],[25598, 849])).
% 16.18/11.45 tff(25600,plain,
% 16.18/11.45 ((v90(constB175, bitIndex2) | (~v90(constB175, bitIndex1)) | v90(constB175, bitIndex0)) | (~v90(constB175, bitIndex2))),
% 16.18/11.45 inference(tautology,[status(thm)],[])).
% 16.18/11.45 tff(25601,plain,
% 16.18/11.45 (v90(constB175, bitIndex2) | (~v90(constB175, bitIndex1)) | v90(constB175, bitIndex0)),
% 16.18/11.45 inference(unit_resolution,[status(thm)],[25600, 25431])).
% 16.18/11.45 tff(25602,plain,
% 16.18/11.45 ((~(v121(constB175) <=> (~(v90(constB175, bitIndex2) | (~v90(constB175, bitIndex1)) | v90(constB175, bitIndex0))))) | (~v121(constB175)) | (~(v90(constB175, bitIndex2) | (~v90(constB175, bitIndex1)) | v90(constB175, bitIndex0)))),
% 16.18/11.45 inference(tautology,[status(thm)],[])).
% 16.18/11.45 tff(25603,plain,
% 16.18/11.45 (~v121(constB175)),
% 16.18/11.45 inference(unit_resolution,[status(thm)],[25602, 25601, 25599])).
% 16.18/11.45 tff(25604,plain,
% 16.18/11.45 (((~![VarCurr: $i] : (v120(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)))))) | (v120(constB175) <=> (~(v90(constB175, bitIndex2) | v90(constB175, bitIndex1) | (~v90(constB175, bitIndex0)))))) <=> ((~![VarCurr: $i] : (v120(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)))))) | (v120(constB175) <=> (~(v90(constB175, bitIndex2) | v90(constB175, bitIndex1) | (~v90(constB175, bitIndex0))))))),
% 16.18/11.45 inference(rewrite,[status(thm)],[])).
% 16.18/11.45 tff(25605,plain,
% 16.18/11.45 ((v120(constB175) <=> (~(v90(constB175, bitIndex1) | v90(constB175, bitIndex2) | (~v90(constB175, bitIndex0))))) <=> (v120(constB175) <=> (~(v90(constB175, bitIndex2) | v90(constB175, bitIndex1) | (~v90(constB175, bitIndex0)))))),
% 16.18/11.45 inference(rewrite,[status(thm)],[])).
% 16.18/11.45 tff(25606,plain,
% 16.18/11.45 (((~![VarCurr: $i] : (v120(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)))))) | (v120(constB175) <=> (~(v90(constB175, bitIndex1) | v90(constB175, bitIndex2) | (~v90(constB175, bitIndex0)))))) <=> ((~![VarCurr: $i] : (v120(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)))))) | (v120(constB175) <=> (~(v90(constB175, bitIndex2) | v90(constB175, bitIndex1) | (~v90(constB175, bitIndex0))))))),
% 16.18/11.45 inference(monotonicity,[status(thm)],[25605])).
% 16.18/11.45 tff(25607,plain,
% 16.18/11.45 (((~![VarCurr: $i] : (v120(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)))))) | (v120(constB175) <=> (~(v90(constB175, bitIndex1) | v90(constB175, bitIndex2) | (~v90(constB175, bitIndex0)))))) <=> ((~![VarCurr: $i] : (v120(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)))))) | (v120(constB175) <=> (~(v90(constB175, bitIndex2) | v90(constB175, bitIndex1) | (~v90(constB175, bitIndex0))))))),
% 16.18/11.45 inference(transitivity,[status(thm)],[25606, 25604])).
% 16.18/11.45 tff(25608,plain,
% 16.18/11.45 ((~![VarCurr: $i] : (v120(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)))))) | (v120(constB175) <=> (~(v90(constB175, bitIndex1) | v90(constB175, bitIndex2) | (~v90(constB175, bitIndex0)))))),
% 16.18/11.45 inference(quant_inst,[status(thm)],[])).
% 16.18/11.45 tff(25609,plain,
% 16.18/11.45 ((~![VarCurr: $i] : (v120(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)))))) | (v120(constB175) <=> (~(v90(constB175, bitIndex2) | v90(constB175, bitIndex1) | (~v90(constB175, bitIndex0)))))),
% 16.18/11.45 inference(modus_ponens,[status(thm)],[25608, 25607])).
% 16.18/11.45 tff(25610,plain,
% 16.18/11.45 (v120(constB175) <=> (~(v90(constB175, bitIndex2) | v90(constB175, bitIndex1) | (~v90(constB175, bitIndex0))))),
% 16.18/11.45 inference(unit_resolution,[status(thm)],[25609, 966])).
% 16.18/11.45 tff(25611,plain,
% 16.18/11.45 ((v90(constB175, bitIndex2) | v90(constB175, bitIndex1) | (~v90(constB175, bitIndex0))) | (~v90(constB175, bitIndex2))),
% 16.18/11.45 inference(tautology,[status(thm)],[])).
% 16.18/11.45 tff(25612,plain,
% 16.18/11.45 (v90(constB175, bitIndex2) | v90(constB175, bitIndex1) | (~v90(constB175, bitIndex0))),
% 16.18/11.45 inference(unit_resolution,[status(thm)],[25611, 25431])).
% 16.18/11.45 tff(25613,plain,
% 16.18/11.45 ((~(v120(constB175) <=> (~(v90(constB175, bitIndex2) | v90(constB175, bitIndex1) | (~v90(constB175, bitIndex0)))))) | (~v120(constB175)) | (~(v90(constB175, bitIndex2) | v90(constB175, bitIndex1) | (~v90(constB175, bitIndex0))))),
% 16.18/11.45 inference(tautology,[status(thm)],[])).
% 16.18/11.45 tff(25614,plain,
% 16.18/11.45 (~v120(constB175)),
% 16.18/11.45 inference(unit_resolution,[status(thm)],[25613, 25612, 25610])).
% 16.18/11.45 tff(25615,plain,
% 16.18/11.45 (((~![VarCurr: $i] : (v124(VarCurr) | v123(VarCurr) | v122(VarCurr) | v121(VarCurr) | v120(VarCurr) | v119(VarCurr) | ![B: $i] : ((~less_3(B)) | (v130(VarCurr, B) <=> b001(B))))) | (v119(constB175) | v120(constB175) | v121(constB175) | v122(constB175) | v123(constB175) | v124(constB175) | ![B: $i] : ((~less_3(B)) | (v130(constB175, B) <=> b001(B))))) <=> ((~![VarCurr: $i] : (v124(VarCurr) | v123(VarCurr) | v122(VarCurr) | v121(VarCurr) | v120(VarCurr) | v119(VarCurr) | ![B: $i] : ((~less_3(B)) | (v130(VarCurr, B) <=> b001(B))))) | v119(constB175) | v120(constB175) | v121(constB175) | v122(constB175) | v123(constB175) | v124(constB175) | ![B: $i] : ((~less_3(B)) | (v130(constB175, B) <=> b001(B))))),
% 16.18/11.45 inference(rewrite,[status(thm)],[])).
% 16.18/11.45 tff(25616,plain,
% 16.18/11.45 ((v124(constB175) | v123(constB175) | v122(constB175) | v121(constB175) | v120(constB175) | v119(constB175) | ![B: $i] : ((~less_3(B)) | (v130(constB175, B) <=> b001(B)))) <=> (v119(constB175) | v120(constB175) | v121(constB175) | v122(constB175) | v123(constB175) | v124(constB175) | ![B: $i] : ((~less_3(B)) | (v130(constB175, B) <=> b001(B))))),
% 16.18/11.45 inference(rewrite,[status(thm)],[])).
% 16.18/11.45 tff(25617,plain,
% 16.18/11.45 (((~![VarCurr: $i] : (v124(VarCurr) | v123(VarCurr) | v122(VarCurr) | v121(VarCurr) | v120(VarCurr) | v119(VarCurr) | ![B: $i] : ((~less_3(B)) | (v130(VarCurr, B) <=> b001(B))))) | (v124(constB175) | v123(constB175) | v122(constB175) | v121(constB175) | v120(constB175) | v119(constB175) | ![B: $i] : ((~less_3(B)) | (v130(constB175, B) <=> b001(B))))) <=> ((~![VarCurr: $i] : (v124(VarCurr) | v123(VarCurr) | v122(VarCurr) | v121(VarCurr) | v120(VarCurr) | v119(VarCurr) | ![B: $i] : ((~less_3(B)) | (v130(VarCurr, B) <=> b001(B))))) | (v119(constB175) | v120(constB175) | v121(constB175) | v122(constB175) | v123(constB175) | v124(constB175) | ![B: $i] : ((~less_3(B)) | (v130(constB175, B) <=> b001(B)))))),
% 16.18/11.45 inference(monotonicity,[status(thm)],[25616])).
% 16.18/11.45 tff(25618,plain,
% 16.18/11.45 (((~![VarCurr: $i] : (v124(VarCurr) | v123(VarCurr) | v122(VarCurr) | v121(VarCurr) | v120(VarCurr) | v119(VarCurr) | ![B: $i] : ((~less_3(B)) | (v130(VarCurr, B) <=> b001(B))))) | (v124(constB175) | v123(constB175) | v122(constB175) | v121(constB175) | v120(constB175) | v119(constB175) | ![B: $i] : ((~less_3(B)) | (v130(constB175, B) <=> b001(B))))) <=> ((~![VarCurr: $i] : (v124(VarCurr) | v123(VarCurr) | v122(VarCurr) | v121(VarCurr) | v120(VarCurr) | v119(VarCurr) | ![B: $i] : ((~less_3(B)) | (v130(VarCurr, B) <=> b001(B))))) | v119(constB175) | v120(constB175) | v121(constB175) | v122(constB175) | v123(constB175) | v124(constB175) | ![B: $i] : ((~less_3(B)) | (v130(constB175, B) <=> b001(B))))),
% 16.18/11.45 inference(transitivity,[status(thm)],[25617, 25615])).
% 16.18/11.45 tff(25619,plain,
% 16.18/11.45 ((~![VarCurr: $i] : (v124(VarCurr) | v123(VarCurr) | v122(VarCurr) | v121(VarCurr) | v120(VarCurr) | v119(VarCurr) | ![B: $i] : ((~less_3(B)) | (v130(VarCurr, B) <=> b001(B))))) | (v124(constB175) | v123(constB175) | v122(constB175) | v121(constB175) | v120(constB175) | v119(constB175) | ![B: $i] : ((~less_3(B)) | (v130(constB175, B) <=> b001(B))))),
% 16.18/11.45 inference(quant_inst,[status(thm)],[])).
% 16.18/11.45 tff(25620,plain,
% 16.18/11.45 ((~![VarCurr: $i] : (v124(VarCurr) | v123(VarCurr) | v122(VarCurr) | v121(VarCurr) | v120(VarCurr) | v119(VarCurr) | ![B: $i] : ((~less_3(B)) | (v130(VarCurr, B) <=> b001(B))))) | v119(constB175) | v120(constB175) | v121(constB175) | v122(constB175) | v123(constB175) | v124(constB175) | ![B: $i] : ((~less_3(B)) | (v130(constB175, B) <=> b001(B)))),
% 16.18/11.45 inference(modus_ponens,[status(thm)],[25619, 25618])).
% 16.18/11.45 tff(25621,plain,
% 16.18/11.45 (v119(constB175) | v120(constB175) | v121(constB175) | v122(constB175) | v123(constB175) | v124(constB175) | ![B: $i] : ((~less_3(B)) | (v130(constB175, B) <=> b001(B)))),
% 16.18/11.45 inference(unit_resolution,[status(thm)],[25620, 5610])).
% 16.18/11.45 tff(25622,plain,
% 16.18/11.45 (![B: $i] : ((~less_3(B)) | (v130(constB175, B) <=> b001(B)))),
% 16.18/11.46 inference(unit_resolution,[status(thm)],[25621, 25614, 25603, 25592, 25581, 25570, 25559])).
% 16.18/11.46 tff(25623,plain,
% 16.18/11.46 (((~![B: $i] : ((~less_3(B)) | (v130(constB175, B) <=> b001(B)))) | ((~less_3(bitIndex2)) | (v130(constB175, bitIndex2) <=> b001(bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v130(constB175, B) <=> b001(B)))) | (~less_3(bitIndex2)) | (v130(constB175, bitIndex2) <=> b001(bitIndex2)))),
% 16.18/11.46 inference(rewrite,[status(thm)],[])).
% 16.18/11.46 tff(25624,plain,
% 16.18/11.46 ((~![B: $i] : ((~less_3(B)) | (v130(constB175, B) <=> b001(B)))) | ((~less_3(bitIndex2)) | (v130(constB175, bitIndex2) <=> b001(bitIndex2)))),
% 16.18/11.46 inference(quant_inst,[status(thm)],[])).
% 16.18/11.46 tff(25625,plain,
% 16.18/11.46 ((~![B: $i] : ((~less_3(B)) | (v130(constB175, B) <=> b001(B)))) | (~less_3(bitIndex2)) | (v130(constB175, bitIndex2) <=> b001(bitIndex2))),
% 16.18/11.46 inference(modus_ponens,[status(thm)],[25624, 25623])).
% 16.18/11.46 tff(25626,plain,
% 16.18/11.46 (v130(constB175, bitIndex2) <=> b001(bitIndex2)),
% 16.18/11.46 inference(unit_resolution,[status(thm)],[25625, 413, 25622])).
% 16.18/11.46 tff(25627,plain,
% 16.18/11.46 ((~(v130(constB175, bitIndex2) <=> b001(bitIndex2))) | (~v130(constB175, bitIndex2)) | b001(bitIndex2)),
% 16.18/11.46 inference(tautology,[status(thm)],[])).
% 16.18/11.46 tff(25628,plain,
% 16.18/11.46 ((~(v130(constB175, bitIndex2) <=> b001(bitIndex2))) | (~v130(constB175, bitIndex2))),
% 16.18/11.46 inference(unit_resolution,[status(thm)],[25627, 5625])).
% 16.18/11.46 tff(25629,plain,
% 16.18/11.46 (~v130(constB175, bitIndex2)),
% 16.18/11.46 inference(unit_resolution,[status(thm)],[25628, 25626])).
% 16.18/11.46 tff(25630,plain,
% 16.18/11.46 ((~(v127(constB175, bitIndex2) <=> v130(constB175, bitIndex2))) | (~v127(constB175, bitIndex2)) | v130(constB175, bitIndex2)),
% 16.18/11.46 inference(tautology,[status(thm)],[])).
% 16.18/11.46 tff(25631,plain,
% 16.18/11.46 (~v127(constB175, bitIndex2)),
% 16.18/11.46 inference(unit_resolution,[status(thm)],[25630, 25629, 25553])).
% 16.18/11.46 tff(25632,plain,
% 16.18/11.46 ((~(v129(constB176, bitIndex2) <=> v127(constB175, bitIndex2))) | (~v129(constB176, bitIndex2)) | v127(constB175, bitIndex2)),
% 16.18/11.46 inference(tautology,[status(thm)],[])).
% 16.18/11.46 tff(25633,plain,
% 16.18/11.46 (~v129(constB176, bitIndex2)),
% 16.18/11.46 inference(unit_resolution,[status(thm)],[25632, 25631, 25545])).
% 16.18/11.46 tff(25634,plain,
% 16.18/11.46 ((~(v90(constB176, bitIndex2) <=> v129(constB176, bitIndex2))) | (~v90(constB176, bitIndex2)) | v129(constB176, bitIndex2)),
% 16.18/11.46 inference(tautology,[status(thm)],[])).
% 16.18/11.46 tff(25635,plain,
% 16.18/11.46 (~v90(constB176, bitIndex2)),
% 16.18/11.46 inference(unit_resolution,[status(thm)],[25634, 25633, 25537])).
% 16.18/11.46 tff(25636,plain,
% 16.18/11.46 ((~(v90(constB177, bitIndex2) <=> v90(constB176, bitIndex2))) | (~v90(constB177, bitIndex2)) | v90(constB176, bitIndex2)),
% 16.18/11.46 inference(tautology,[status(thm)],[])).
% 16.18/11.46 tff(25637,plain,
% 16.18/11.46 (~v90(constB177, bitIndex2)),
% 16.18/11.46 inference(unit_resolution,[status(thm)],[25636, 25635, 24700])).
% 16.18/11.46 tff(25638,plain,
% 16.18/11.46 (((~![B: $i] : ((~less_3(B)) | (v90(constB177, B) <=> v90(constB176, B)))) | ((~less_3(bitIndex0)) | (v90(constB177, bitIndex0) <=> v90(constB176, bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v90(constB177, B) <=> v90(constB176, B)))) | (~less_3(bitIndex0)) | (v90(constB177, bitIndex0) <=> v90(constB176, bitIndex0)))),
% 16.18/11.46 inference(rewrite,[status(thm)],[])).
% 16.18/11.46 tff(25639,plain,
% 16.18/11.46 ((~![B: $i] : ((~less_3(B)) | (v90(constB177, B) <=> v90(constB176, B)))) | ((~less_3(bitIndex0)) | (v90(constB177, bitIndex0) <=> v90(constB176, bitIndex0)))),
% 16.18/11.46 inference(quant_inst,[status(thm)],[])).
% 16.18/11.46 tff(25640,plain,
% 16.18/11.46 ((~![B: $i] : ((~less_3(B)) | (v90(constB177, B) <=> v90(constB176, B)))) | (~less_3(bitIndex0)) | (v90(constB177, bitIndex0) <=> v90(constB176, bitIndex0))),
% 16.18/11.46 inference(modus_ponens,[status(thm)],[25639, 25638])).
% 16.18/11.46 tff(25641,plain,
% 16.18/11.46 (v90(constB177, bitIndex0) <=> v90(constB176, bitIndex0)),
% 16.18/11.46 inference(unit_resolution,[status(thm)],[25640, 5004, 24696])).
% 16.18/11.46 tff(25642,plain,
% 16.18/11.46 (((~![B: $i] : ((~less_3(B)) | (v90(constB176, B) <=> v129(constB176, B)))) | ((~less_3(bitIndex0)) | (v90(constB176, bitIndex0) <=> v129(constB176, bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v90(constB176, B) <=> v129(constB176, B)))) | (~less_3(bitIndex0)) | (v90(constB176, bitIndex0) <=> v129(constB176, bitIndex0)))),
% 16.18/11.46 inference(rewrite,[status(thm)],[])).
% 16.18/11.46 tff(25643,plain,
% 16.18/11.46 ((~![B: $i] : ((~less_3(B)) | (v90(constB176, B) <=> v129(constB176, B)))) | ((~less_3(bitIndex0)) | (v90(constB176, bitIndex0) <=> v129(constB176, bitIndex0)))),
% 16.18/11.46 inference(quant_inst,[status(thm)],[])).
% 16.18/11.46 tff(25644,plain,
% 16.18/11.46 ((~![B: $i] : ((~less_3(B)) | (v90(constB176, B) <=> v129(constB176, B)))) | (~less_3(bitIndex0)) | (v90(constB176, bitIndex0) <=> v129(constB176, bitIndex0))),
% 16.18/11.46 inference(modus_ponens,[status(thm)],[25643, 25642])).
% 16.18/11.46 tff(25645,plain,
% 16.18/11.46 (v90(constB176, bitIndex0) <=> v129(constB176, bitIndex0)),
% 16.18/11.46 inference(unit_resolution,[status(thm)],[25644, 5004, 25533])).
% 16.18/11.46 tff(25646,plain,
% 16.18/11.46 (((~![B: $i] : ((~less_3(B)) | (v129(constB176, B) <=> v127(constB175, B)))) | ((~less_3(bitIndex0)) | (v129(constB176, bitIndex0) <=> v127(constB175, bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v129(constB176, B) <=> v127(constB175, B)))) | (~less_3(bitIndex0)) | (v129(constB176, bitIndex0) <=> v127(constB175, bitIndex0)))),
% 16.18/11.46 inference(rewrite,[status(thm)],[])).
% 16.18/11.46 tff(25647,plain,
% 16.18/11.46 ((~![B: $i] : ((~less_3(B)) | (v129(constB176, B) <=> v127(constB175, B)))) | ((~less_3(bitIndex0)) | (v129(constB176, bitIndex0) <=> v127(constB175, bitIndex0)))),
% 16.18/11.46 inference(quant_inst,[status(thm)],[])).
% 16.18/11.46 tff(25648,plain,
% 16.18/11.46 ((~![B: $i] : ((~less_3(B)) | (v129(constB176, B) <=> v127(constB175, B)))) | (~less_3(bitIndex0)) | (v129(constB176, bitIndex0) <=> v127(constB175, bitIndex0))),
% 16.18/11.46 inference(modus_ponens,[status(thm)],[25647, 25646])).
% 16.18/11.46 tff(25649,plain,
% 16.18/11.46 (v129(constB176, bitIndex0) <=> v127(constB175, bitIndex0)),
% 16.18/11.46 inference(unit_resolution,[status(thm)],[25648, 5004, 25541])).
% 16.18/11.46 tff(25650,plain,
% 16.18/11.46 (((~![B: $i] : ((~less_3(B)) | (v127(constB175, B) <=> v130(constB175, B)))) | ((~less_3(bitIndex0)) | (v127(constB175, bitIndex0) <=> v130(constB175, bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v127(constB175, B) <=> v130(constB175, B)))) | (~less_3(bitIndex0)) | (v127(constB175, bitIndex0) <=> v130(constB175, bitIndex0)))),
% 16.18/11.46 inference(rewrite,[status(thm)],[])).
% 16.18/11.46 tff(25651,plain,
% 16.18/11.46 ((~![B: $i] : ((~less_3(B)) | (v127(constB175, B) <=> v130(constB175, B)))) | ((~less_3(bitIndex0)) | (v127(constB175, bitIndex0) <=> v130(constB175, bitIndex0)))),
% 16.18/11.46 inference(quant_inst,[status(thm)],[])).
% 16.18/11.46 tff(25652,plain,
% 16.18/11.46 ((~![B: $i] : ((~less_3(B)) | (v127(constB175, B) <=> v130(constB175, B)))) | (~less_3(bitIndex0)) | (v127(constB175, bitIndex0) <=> v130(constB175, bitIndex0))),
% 16.18/11.46 inference(modus_ponens,[status(thm)],[25651, 25650])).
% 16.18/11.46 tff(25653,plain,
% 16.18/11.46 (v127(constB175, bitIndex0) <=> v130(constB175, bitIndex0)),
% 16.18/11.46 inference(unit_resolution,[status(thm)],[25652, 5004, 25549])).
% 16.18/11.46 tff(25654,plain,
% 16.18/11.46 (((~![B: $i] : ((~less_3(B)) | (v130(constB175, B) <=> b001(B)))) | ((~less_3(bitIndex0)) | (v130(constB175, bitIndex0) <=> b001(bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v130(constB175, B) <=> b001(B)))) | (~less_3(bitIndex0)) | (v130(constB175, bitIndex0) <=> b001(bitIndex0)))),
% 16.18/11.46 inference(rewrite,[status(thm)],[])).
% 16.18/11.46 tff(25655,plain,
% 16.18/11.46 ((~![B: $i] : ((~less_3(B)) | (v130(constB175, B) <=> b001(B)))) | ((~less_3(bitIndex0)) | (v130(constB175, bitIndex0) <=> b001(bitIndex0)))),
% 16.18/11.46 inference(quant_inst,[status(thm)],[])).
% 16.18/11.46 tff(25656,plain,
% 16.18/11.46 ((~![B: $i] : ((~less_3(B)) | (v130(constB175, B) <=> b001(B)))) | (~less_3(bitIndex0)) | (v130(constB175, bitIndex0) <=> b001(bitIndex0))),
% 16.18/11.46 inference(modus_ponens,[status(thm)],[25655, 25654])).
% 16.18/11.46 tff(25657,plain,
% 16.18/11.46 (v130(constB175, bitIndex0) <=> b001(bitIndex0)),
% 16.18/11.46 inference(unit_resolution,[status(thm)],[25656, 5004, 25622])).
% 16.18/11.46 tff(25658,plain,
% 16.18/11.46 ((~(v130(constB175, bitIndex0) <=> b001(bitIndex0))) | v130(constB175, bitIndex0) | (~b001(bitIndex0))),
% 16.18/11.46 inference(tautology,[status(thm)],[])).
% 16.18/11.46 tff(25659,plain,
% 16.18/11.46 ((~(v130(constB175, bitIndex0) <=> b001(bitIndex0))) | v130(constB175, bitIndex0)),
% 16.18/11.46 inference(unit_resolution,[status(thm)],[25658, 5659])).
% 16.18/11.46 tff(25660,plain,
% 16.18/11.46 (v130(constB175, bitIndex0)),
% 16.18/11.46 inference(unit_resolution,[status(thm)],[25659, 25657])).
% 16.18/11.46 tff(25661,plain,
% 16.18/11.46 ((~(v127(constB175, bitIndex0) <=> v130(constB175, bitIndex0))) | v127(constB175, bitIndex0) | (~v130(constB175, bitIndex0))),
% 16.18/11.46 inference(tautology,[status(thm)],[])).
% 16.18/11.46 tff(25662,plain,
% 16.18/11.46 (v127(constB175, bitIndex0)),
% 16.18/11.46 inference(unit_resolution,[status(thm)],[25661, 25660, 25653])).
% 16.18/11.46 tff(25663,plain,
% 16.18/11.46 ((~(v129(constB176, bitIndex0) <=> v127(constB175, bitIndex0))) | v129(constB176, bitIndex0) | (~v127(constB175, bitIndex0))),
% 16.18/11.46 inference(tautology,[status(thm)],[])).
% 16.18/11.46 tff(25664,plain,
% 16.18/11.46 (v129(constB176, bitIndex0)),
% 16.18/11.46 inference(unit_resolution,[status(thm)],[25663, 25662, 25649])).
% 16.18/11.46 tff(25665,plain,
% 16.18/11.46 ((~(v90(constB176, bitIndex0) <=> v129(constB176, bitIndex0))) | v90(constB176, bitIndex0) | (~v129(constB176, bitIndex0))),
% 16.18/11.46 inference(tautology,[status(thm)],[])).
% 16.18/11.46 tff(25666,plain,
% 16.18/11.46 (v90(constB176, bitIndex0)),
% 16.18/11.46 inference(unit_resolution,[status(thm)],[25665, 25664, 25645])).
% 16.18/11.46 tff(25667,plain,
% 16.18/11.46 ((~(v90(constB177, bitIndex0) <=> v90(constB176, bitIndex0))) | v90(constB177, bitIndex0) | (~v90(constB176, bitIndex0))),
% 16.18/11.46 inference(tautology,[status(thm)],[])).
% 16.18/11.46 tff(25668,plain,
% 16.18/11.46 (v90(constB177, bitIndex0)),
% 16.18/11.46 inference(unit_resolution,[status(thm)],[25667, 25666, 25641])).
% 16.18/11.46 tff(25669,plain,
% 16.18/11.46 (((~![B: $i] : ((~less_3(B)) | (v90(constB177, B) <=> v90(constB176, B)))) | ((~less_3(bitIndex1)) | (v90(constB177, bitIndex1) <=> v90(constB176, bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v90(constB177, B) <=> v90(constB176, B)))) | (~less_3(bitIndex1)) | (v90(constB177, bitIndex1) <=> v90(constB176, bitIndex1)))),
% 16.18/11.46 inference(rewrite,[status(thm)],[])).
% 16.18/11.46 tff(25670,plain,
% 16.18/11.46 ((~![B: $i] : ((~less_3(B)) | (v90(constB177, B) <=> v90(constB176, B)))) | ((~less_3(bitIndex1)) | (v90(constB177, bitIndex1) <=> v90(constB176, bitIndex1)))),
% 16.18/11.46 inference(quant_inst,[status(thm)],[])).
% 16.18/11.46 tff(25671,plain,
% 16.18/11.46 ((~![B: $i] : ((~less_3(B)) | (v90(constB177, B) <=> v90(constB176, B)))) | (~less_3(bitIndex1)) | (v90(constB177, bitIndex1) <=> v90(constB176, bitIndex1))),
% 16.18/11.46 inference(modus_ponens,[status(thm)],[25670, 25669])).
% 16.18/11.46 tff(25672,plain,
% 16.18/11.46 (v90(constB177, bitIndex1) <=> v90(constB176, bitIndex1)),
% 16.18/11.46 inference(unit_resolution,[status(thm)],[25671, 5017, 24696])).
% 16.18/11.46 tff(25673,plain,
% 16.18/11.46 (((~![B: $i] : ((~less_3(B)) | (v90(constB176, B) <=> v129(constB176, B)))) | ((~less_3(bitIndex1)) | (v90(constB176, bitIndex1) <=> v129(constB176, bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v90(constB176, B) <=> v129(constB176, B)))) | (~less_3(bitIndex1)) | (v90(constB176, bitIndex1) <=> v129(constB176, bitIndex1)))),
% 16.18/11.46 inference(rewrite,[status(thm)],[])).
% 16.18/11.46 tff(25674,plain,
% 16.18/11.46 ((~![B: $i] : ((~less_3(B)) | (v90(constB176, B) <=> v129(constB176, B)))) | ((~less_3(bitIndex1)) | (v90(constB176, bitIndex1) <=> v129(constB176, bitIndex1)))),
% 16.18/11.46 inference(quant_inst,[status(thm)],[])).
% 16.18/11.46 tff(25675,plain,
% 16.18/11.46 ((~![B: $i] : ((~less_3(B)) | (v90(constB176, B) <=> v129(constB176, B)))) | (~less_3(bitIndex1)) | (v90(constB176, bitIndex1) <=> v129(constB176, bitIndex1))),
% 16.18/11.46 inference(modus_ponens,[status(thm)],[25674, 25673])).
% 16.18/11.46 tff(25676,plain,
% 16.18/11.46 (v90(constB176, bitIndex1) <=> v129(constB176, bitIndex1)),
% 16.18/11.46 inference(unit_resolution,[status(thm)],[25675, 5017, 25533])).
% 16.18/11.46 tff(25677,plain,
% 16.18/11.46 (((~![B: $i] : ((~less_3(B)) | (v129(constB176, B) <=> v127(constB175, B)))) | ((~less_3(bitIndex1)) | (v129(constB176, bitIndex1) <=> v127(constB175, bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v129(constB176, B) <=> v127(constB175, B)))) | (~less_3(bitIndex1)) | (v129(constB176, bitIndex1) <=> v127(constB175, bitIndex1)))),
% 16.18/11.46 inference(rewrite,[status(thm)],[])).
% 16.18/11.46 tff(25678,plain,
% 16.18/11.46 ((~![B: $i] : ((~less_3(B)) | (v129(constB176, B) <=> v127(constB175, B)))) | ((~less_3(bitIndex1)) | (v129(constB176, bitIndex1) <=> v127(constB175, bitIndex1)))),
% 16.18/11.46 inference(quant_inst,[status(thm)],[])).
% 16.18/11.46 tff(25679,plain,
% 16.18/11.46 ((~![B: $i] : ((~less_3(B)) | (v129(constB176, B) <=> v127(constB175, B)))) | (~less_3(bitIndex1)) | (v129(constB176, bitIndex1) <=> v127(constB175, bitIndex1))),
% 16.18/11.46 inference(modus_ponens,[status(thm)],[25678, 25677])).
% 16.18/11.46 tff(25680,plain,
% 16.18/11.46 (v129(constB176, bitIndex1) <=> v127(constB175, bitIndex1)),
% 16.18/11.47 inference(unit_resolution,[status(thm)],[25679, 5017, 25541])).
% 16.18/11.47 tff(25681,plain,
% 16.18/11.47 (((~![B: $i] : ((~less_3(B)) | (v127(constB175, B) <=> v130(constB175, B)))) | ((~less_3(bitIndex1)) | (v127(constB175, bitIndex1) <=> v130(constB175, bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v127(constB175, B) <=> v130(constB175, B)))) | (~less_3(bitIndex1)) | (v127(constB175, bitIndex1) <=> v130(constB175, bitIndex1)))),
% 16.18/11.47 inference(rewrite,[status(thm)],[])).
% 16.18/11.47 tff(25682,plain,
% 16.18/11.47 ((~![B: $i] : ((~less_3(B)) | (v127(constB175, B) <=> v130(constB175, B)))) | ((~less_3(bitIndex1)) | (v127(constB175, bitIndex1) <=> v130(constB175, bitIndex1)))),
% 16.18/11.47 inference(quant_inst,[status(thm)],[])).
% 16.18/11.47 tff(25683,plain,
% 16.18/11.47 ((~![B: $i] : ((~less_3(B)) | (v127(constB175, B) <=> v130(constB175, B)))) | (~less_3(bitIndex1)) | (v127(constB175, bitIndex1) <=> v130(constB175, bitIndex1))),
% 16.18/11.47 inference(modus_ponens,[status(thm)],[25682, 25681])).
% 16.18/11.47 tff(25684,plain,
% 16.18/11.47 (v127(constB175, bitIndex1) <=> v130(constB175, bitIndex1)),
% 16.18/11.47 inference(unit_resolution,[status(thm)],[25683, 5017, 25549])).
% 16.18/11.47 tff(25685,plain,
% 16.18/11.47 (((~![B: $i] : ((~less_3(B)) | (v130(constB175, B) <=> b001(B)))) | ((~less_3(bitIndex1)) | (v130(constB175, bitIndex1) <=> b001(bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v130(constB175, B) <=> b001(B)))) | (~less_3(bitIndex1)) | (v130(constB175, bitIndex1) <=> b001(bitIndex1)))),
% 16.18/11.47 inference(rewrite,[status(thm)],[])).
% 16.18/11.47 tff(25686,plain,
% 16.18/11.47 ((~![B: $i] : ((~less_3(B)) | (v130(constB175, B) <=> b001(B)))) | ((~less_3(bitIndex1)) | (v130(constB175, bitIndex1) <=> b001(bitIndex1)))),
% 16.18/11.47 inference(quant_inst,[status(thm)],[])).
% 16.18/11.47 tff(25687,plain,
% 16.18/11.47 ((~![B: $i] : ((~less_3(B)) | (v130(constB175, B) <=> b001(B)))) | (~less_3(bitIndex1)) | (v130(constB175, bitIndex1) <=> b001(bitIndex1))),
% 16.18/11.47 inference(modus_ponens,[status(thm)],[25686, 25685])).
% 16.18/11.47 tff(25688,plain,
% 16.18/11.47 (v130(constB175, bitIndex1) <=> b001(bitIndex1)),
% 16.18/11.47 inference(unit_resolution,[status(thm)],[25687, 5017, 25622])).
% 16.18/11.47 tff(25689,plain,
% 16.18/11.47 ((~(v130(constB175, bitIndex1) <=> b001(bitIndex1))) | (~v130(constB175, bitIndex1)) | b001(bitIndex1)),
% 16.18/11.47 inference(tautology,[status(thm)],[])).
% 16.18/11.47 tff(25690,plain,
% 16.18/11.47 ((~(v130(constB175, bitIndex1) <=> b001(bitIndex1))) | (~v130(constB175, bitIndex1))),
% 16.18/11.47 inference(unit_resolution,[status(thm)],[25689, 5693])).
% 16.18/11.47 tff(25691,plain,
% 16.18/11.47 (~v130(constB175, bitIndex1)),
% 16.18/11.47 inference(unit_resolution,[status(thm)],[25690, 25688])).
% 16.18/11.47 tff(25692,plain,
% 16.18/11.47 ((~(v127(constB175, bitIndex1) <=> v130(constB175, bitIndex1))) | (~v127(constB175, bitIndex1)) | v130(constB175, bitIndex1)),
% 16.18/11.47 inference(tautology,[status(thm)],[])).
% 16.18/11.47 tff(25693,plain,
% 16.18/11.47 (~v127(constB175, bitIndex1)),
% 16.18/11.47 inference(unit_resolution,[status(thm)],[25692, 25691, 25684])).
% 16.18/11.47 tff(25694,plain,
% 16.18/11.47 ((~(v129(constB176, bitIndex1) <=> v127(constB175, bitIndex1))) | (~v129(constB176, bitIndex1)) | v127(constB175, bitIndex1)),
% 16.18/11.47 inference(tautology,[status(thm)],[])).
% 16.18/11.47 tff(25695,plain,
% 16.18/11.47 (~v129(constB176, bitIndex1)),
% 16.18/11.47 inference(unit_resolution,[status(thm)],[25694, 25693, 25680])).
% 16.18/11.47 tff(25696,plain,
% 16.18/11.47 ((~(v90(constB176, bitIndex1) <=> v129(constB176, bitIndex1))) | (~v90(constB176, bitIndex1)) | v129(constB176, bitIndex1)),
% 16.18/11.47 inference(tautology,[status(thm)],[])).
% 16.18/11.47 tff(25697,plain,
% 16.18/11.47 (~v90(constB176, bitIndex1)),
% 16.18/11.47 inference(unit_resolution,[status(thm)],[25696, 25695, 25676])).
% 16.18/11.47 tff(25698,plain,
% 16.18/11.47 ((~(v90(constB177, bitIndex1) <=> v90(constB176, bitIndex1))) | (~v90(constB177, bitIndex1)) | v90(constB176, bitIndex1)),
% 16.18/11.47 inference(tautology,[status(thm)],[])).
% 16.18/11.47 tff(25699,plain,
% 16.18/11.47 (~v90(constB177, bitIndex1)),
% 16.18/11.47 inference(unit_resolution,[status(thm)],[25698, 25697, 25672])).
% 16.18/11.47 tff(25700,plain,
% 16.18/11.47 ((~(v90(constB177, bitIndex2) | v90(constB177, bitIndex1) | (~v90(constB177, bitIndex0)))) | v90(constB177, bitIndex2) | v90(constB177, bitIndex1) | (~v90(constB177, bitIndex0))),
% 16.18/11.47 inference(tautology,[status(thm)],[])).
% 16.18/11.47 tff(25701,plain,
% 16.18/11.47 (~(v90(constB177, bitIndex2) | v90(constB177, bitIndex1) | (~v90(constB177, bitIndex0)))),
% 16.18/11.47 inference(unit_resolution,[status(thm)],[25700, 25699, 25668, 25637])).
% 16.18/11.47 tff(25702,plain,
% 16.18/11.47 ((~(v120(constB177) <=> (~(v90(constB177, bitIndex2) | v90(constB177, bitIndex1) | (~v90(constB177, bitIndex0)))))) | v120(constB177) | (v90(constB177, bitIndex2) | v90(constB177, bitIndex1) | (~v90(constB177, bitIndex0)))),
% 16.18/11.47 inference(tautology,[status(thm)],[])).
% 16.18/11.47 tff(25703,plain,
% 16.18/11.47 (v120(constB177)),
% 16.18/11.47 inference(unit_resolution,[status(thm)],[25702, 25701, 24668])).
% 16.18/11.47 tff(25704,plain,
% 16.18/11.47 ((v119(constB177) | v120(constB177)) | (~v120(constB177))),
% 16.18/11.47 inference(tautology,[status(thm)],[])).
% 16.18/11.47 tff(25705,plain,
% 16.18/11.47 (v119(constB177) | v120(constB177)),
% 16.18/11.47 inference(unit_resolution,[status(thm)],[25704, 25703])).
% 16.18/11.47 tff(25706,plain,
% 16.18/11.47 ((~(v118(constB177) <=> (v119(constB177) | v120(constB177)))) | v118(constB177) | (~(v119(constB177) | v120(constB177)))),
% 16.18/11.47 inference(tautology,[status(thm)],[])).
% 16.18/11.47 tff(25707,plain,
% 16.18/11.47 (v118(constB177)),
% 16.18/11.47 inference(unit_resolution,[status(thm)],[25706, 25705, 24661])).
% 16.18/11.47 tff(25708,plain,
% 16.18/11.47 ((v118(constB177) | v121(constB177)) | (~v118(constB177))),
% 16.18/11.47 inference(tautology,[status(thm)],[])).
% 16.18/11.47 tff(25709,plain,
% 16.18/11.47 (v118(constB177) | v121(constB177)),
% 16.18/11.47 inference(unit_resolution,[status(thm)],[25708, 25707])).
% 16.18/11.47 tff(25710,plain,
% 16.18/11.47 ((~(v117(constB177) <=> (v118(constB177) | v121(constB177)))) | v117(constB177) | (~(v118(constB177) | v121(constB177)))),
% 16.18/11.47 inference(tautology,[status(thm)],[])).
% 16.18/11.47 tff(25711,plain,
% 16.18/11.47 (v117(constB177)),
% 16.18/11.47 inference(unit_resolution,[status(thm)],[25710, 25709, 24659])).
% 16.18/11.47 tff(25712,plain,
% 16.18/11.47 ((v117(constB177) | v122(constB177)) | (~v117(constB177))),
% 16.18/11.47 inference(tautology,[status(thm)],[])).
% 16.18/11.47 tff(25713,plain,
% 16.18/11.47 (v117(constB177) | v122(constB177)),
% 16.18/11.47 inference(unit_resolution,[status(thm)],[25712, 25711])).
% 16.18/11.47 tff(25714,plain,
% 16.18/11.47 ((~(v116(constB177) <=> (v117(constB177) | v122(constB177)))) | v116(constB177) | (~(v117(constB177) | v122(constB177)))),
% 16.18/11.47 inference(tautology,[status(thm)],[])).
% 16.18/11.47 tff(25715,plain,
% 16.18/11.47 (v116(constB177)),
% 16.18/11.47 inference(unit_resolution,[status(thm)],[25714, 25713, 24657])).
% 16.18/11.47 tff(25716,plain,
% 16.18/11.47 ((v116(constB177) | v123(constB177)) | (~v116(constB177))),
% 16.18/11.47 inference(tautology,[status(thm)],[])).
% 16.18/11.47 tff(25717,plain,
% 16.18/11.47 (v116(constB177) | v123(constB177)),
% 16.18/11.47 inference(unit_resolution,[status(thm)],[25716, 25715])).
% 16.18/11.47 tff(25718,plain,
% 16.18/11.47 ((~(v115(constB177) <=> (v116(constB177) | v123(constB177)))) | v115(constB177) | (~(v116(constB177) | v123(constB177)))),
% 16.18/11.47 inference(tautology,[status(thm)],[])).
% 16.18/11.47 tff(25719,plain,
% 16.18/11.47 (v115(constB177)),
% 16.18/11.47 inference(unit_resolution,[status(thm)],[25718, 25717, 24655])).
% 16.18/11.47 tff(25720,plain,
% 16.18/11.47 ((v115(constB177) | v124(constB177)) | (~v115(constB177))),
% 16.18/11.47 inference(tautology,[status(thm)],[])).
% 16.18/11.47 tff(25721,plain,
% 16.18/11.47 (v115(constB177) | v124(constB177)),
% 16.18/11.47 inference(unit_resolution,[status(thm)],[25720, 25719])).
% 16.18/11.47 tff(25722,plain,
% 16.18/11.47 ((~(v114(constB177) <=> (v115(constB177) | v124(constB177)))) | v114(constB177) | (~(v115(constB177) | v124(constB177)))),
% 16.18/11.47 inference(tautology,[status(thm)],[])).
% 16.18/11.47 tff(25723,plain,
% 16.18/11.47 (v114(constB177)),
% 16.18/11.47 inference(unit_resolution,[status(thm)],[25722, 25721, 24653])).
% 16.18/11.47 tff(25724,plain,
% 16.18/11.47 ((v114(constB177) | v125(constB177)) | (~v114(constB177))),
% 16.18/11.47 inference(tautology,[status(thm)],[])).
% 16.18/11.47 tff(25725,plain,
% 16.18/11.47 (v114(constB177) | v125(constB177)),
% 16.18/11.47 inference(unit_resolution,[status(thm)],[25724, 25723])).
% 16.18/11.47 tff(25726,plain,
% 16.18/11.47 ((~(v113(constB177) <=> (v114(constB177) | v125(constB177)))) | v113(constB177) | (~(v114(constB177) | v125(constB177)))),
% 16.18/11.47 inference(tautology,[status(thm)],[])).
% 16.18/11.47 tff(25727,plain,
% 16.18/11.47 (v113(constB177)),
% 16.18/11.47 inference(unit_resolution,[status(thm)],[25726, 25725, 24651])).
% 16.18/11.47 tff(25728,plain,
% 16.18/11.47 ((~![VarCurr: $i] : ((~v126(VarCurr)) <=> v111(VarCurr))) | ((~v126(constB177)) <=> v111(constB177))),
% 16.18/11.47 inference(quant_inst,[status(thm)],[])).
% 16.18/11.47 tff(25729,plain,
% 16.18/11.47 ((~v126(constB177)) <=> v111(constB177)),
% 16.18/11.47 inference(unit_resolution,[status(thm)],[25728, 5074])).
% 16.18/11.47 tff(25730,plain,
% 16.18/11.47 ((~![VarCurr: $i] : (v111(VarCurr) <=> v26(VarCurr))) | (v111(constB177) <=> v26(constB177))),
% 16.18/11.47 inference(quant_inst,[status(thm)],[])).
% 16.18/11.47 tff(25731,plain,
% 16.18/11.47 (v111(constB177) <=> v26(constB177)),
% 16.18/11.47 inference(unit_resolution,[status(thm)],[25730, 5086])).
% 16.18/11.47 tff(25732,plain,
% 16.18/11.47 ((~![VarCurr: $i] : (~v26(VarCurr))) | (~v26(constB177))),
% 16.18/11.47 inference(quant_inst,[status(thm)],[])).
% 16.18/11.47 tff(25733,plain,
% 16.18/11.47 (~v26(constB177)),
% 16.18/11.47 inference(unit_resolution,[status(thm)],[25732, 5098])).
% 16.18/11.47 tff(25734,plain,
% 16.18/11.47 ((~(v111(constB177) <=> v26(constB177))) | (~v111(constB177)) | v26(constB177)),
% 16.18/11.47 inference(tautology,[status(thm)],[])).
% 16.18/11.47 tff(25735,plain,
% 16.18/11.47 ((~(v111(constB177) <=> v26(constB177))) | (~v111(constB177))),
% 16.18/11.47 inference(unit_resolution,[status(thm)],[25734, 25733])).
% 16.18/11.47 tff(25736,plain,
% 16.18/11.47 (~v111(constB177)),
% 16.18/11.47 inference(unit_resolution,[status(thm)],[25735, 25731])).
% 16.18/11.47 tff(25737,plain,
% 16.18/11.47 ((~((~v126(constB177)) <=> v111(constB177))) | v126(constB177) | v111(constB177)),
% 16.18/11.47 inference(tautology,[status(thm)],[])).
% 16.18/11.47 tff(25738,plain,
% 16.18/11.47 ((~((~v126(constB177)) <=> v111(constB177))) | v126(constB177)),
% 16.18/11.47 inference(unit_resolution,[status(thm)],[25737, 25736])).
% 16.18/11.47 tff(25739,plain,
% 16.18/11.47 (v126(constB177)),
% 16.18/11.47 inference(unit_resolution,[status(thm)],[25738, 25729])).
% 16.18/11.47 tff(25740,plain,
% 16.18/11.47 ((~((~v113(constB177)) | (~v126(constB177)))) | (~v113(constB177)) | (~v126(constB177))),
% 16.18/11.47 inference(tautology,[status(thm)],[])).
% 16.18/11.47 tff(25741,plain,
% 16.18/11.47 ((~((~v113(constB177)) | (~v126(constB177)))) | (~v113(constB177))),
% 16.18/11.47 inference(unit_resolution,[status(thm)],[25740, 25739])).
% 16.18/11.47 tff(25742,plain,
% 16.18/11.47 (~((~v113(constB177)) | (~v126(constB177)))),
% 16.18/11.47 inference(unit_resolution,[status(thm)],[25741, 25727])).
% 16.18/11.47 tff(25743,plain,
% 16.18/11.47 ((~(v112(constB177) <=> (~((~v113(constB177)) | (~v126(constB177)))))) | v112(constB177) | ((~v113(constB177)) | (~v126(constB177)))),
% 16.18/11.47 inference(tautology,[status(thm)],[])).
% 16.18/11.47 tff(25744,plain,
% 16.18/11.47 (v112(constB177)),
% 16.18/11.47 inference(unit_resolution,[status(thm)],[25743, 25742, 24649])).
% 16.18/11.47 tff(25745,plain,
% 16.18/11.47 ((v111(constB177) | v112(constB177)) | (~v112(constB177))),
% 16.18/11.47 inference(tautology,[status(thm)],[])).
% 16.18/11.47 tff(25746,plain,
% 16.18/11.47 (v111(constB177) | v112(constB177)),
% 16.18/11.47 inference(unit_resolution,[status(thm)],[25745, 25744])).
% 16.18/11.47 tff(25747,plain,
% 16.18/11.47 ((~(v108(constB177) <=> (v111(constB177) | v112(constB177)))) | v108(constB177) | (~(v111(constB177) | v112(constB177)))),
% 16.18/11.47 inference(tautology,[status(thm)],[])).
% 16.18/11.47 tff(25748,plain,
% 16.18/11.47 (v108(constB177)),
% 16.18/11.47 inference(unit_resolution,[status(thm)],[25747, 25746, 24647])).
% 16.18/11.47 tff(25749,plain,
% 16.18/11.47 ((~(v110(constB178) <=> v108(constB177))) | v110(constB178) | (~v108(constB177))),
% 16.18/11.47 inference(tautology,[status(thm)],[])).
% 16.18/11.47 tff(25750,plain,
% 16.18/11.47 (v110(constB178)),
% 16.18/11.47 inference(unit_resolution,[status(thm)],[25749, 25748, 24645])).
% 16.18/11.47 tff(25751,plain,
% 16.18/11.47 ((~((~v101(constB178)) | (~v110(constB178)))) | (~v101(constB178)) | (~v110(constB178))),
% 16.18/11.47 inference(tautology,[status(thm)],[])).
% 16.18/11.47 tff(25752,plain,
% 16.18/11.47 (~((~v101(constB178)) | (~v110(constB178)))),
% 16.18/11.47 inference(unit_resolution,[status(thm)],[25751, 25750, 24641])).
% 16.18/11.47 tff(25753,plain,
% 16.18/11.47 ((~(v100(constB178) <=> (~((~v101(constB178)) | (~v110(constB178)))))) | v100(constB178) | ((~v101(constB178)) | (~v110(constB178)))),
% 16.18/11.47 inference(tautology,[status(thm)],[])).
% 16.18/11.47 tff(25754,plain,
% 16.18/11.47 (v100(constB178)),
% 16.18/11.47 inference(unit_resolution,[status(thm)],[25753, 25752, 24610])).
% 16.18/11.47 tff(25755,plain,
% 16.18/11.47 (((~![VarNext: $i] : ((~v100(VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v129(VarNext, B))))) | ((~v100(constB178)) | ![B: $i] : ((~less_3(B)) | (v90(constB178, B) <=> v129(constB178, B))))) <=> ((~![VarNext: $i] : ((~v100(VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v129(VarNext, B))))) | (~v100(constB178)) | ![B: $i] : ((~less_3(B)) | (v90(constB178, B) <=> v129(constB178, B))))),
% 16.18/11.47 inference(rewrite,[status(thm)],[])).
% 16.18/11.47 tff(25756,plain,
% 16.18/11.47 ((~![VarNext: $i] : ((~v100(VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v129(VarNext, B))))) | ((~v100(constB178)) | ![B: $i] : ((~less_3(B)) | (v90(constB178, B) <=> v129(constB178, B))))),
% 16.18/11.47 inference(quant_inst,[status(thm)],[])).
% 16.18/11.47 tff(25757,plain,
% 16.18/11.47 ((~![VarNext: $i] : ((~v100(VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v129(VarNext, B))))) | (~v100(constB178)) | ![B: $i] : ((~less_3(B)) | (v90(constB178, B) <=> v129(constB178, B)))),
% 16.18/11.47 inference(modus_ponens,[status(thm)],[25756, 25755])).
% 16.18/11.47 tff(25758,plain,
% 16.18/11.47 ((~v100(constB178)) | ![B: $i] : ((~less_3(B)) | (v90(constB178, B) <=> v129(constB178, B)))),
% 16.18/11.47 inference(unit_resolution,[status(thm)],[25757, 5134])).
% 16.18/11.47 tff(25759,plain,
% 16.18/11.47 (![B: $i] : ((~less_3(B)) | (v90(constB178, B) <=> v129(constB178, B)))),
% 16.18/11.47 inference(unit_resolution,[status(thm)],[25758, 25754])).
% 16.18/11.47 tff(25760,plain,
% 16.18/11.47 (((~![B: $i] : ((~less_3(B)) | (v90(constB178, B) <=> v129(constB178, B)))) | ((~less_3(bitIndex2)) | (v90(constB178, bitIndex2) <=> v129(constB178, bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v90(constB178, B) <=> v129(constB178, B)))) | (~less_3(bitIndex2)) | (v90(constB178, bitIndex2) <=> v129(constB178, bitIndex2)))),
% 16.18/11.47 inference(rewrite,[status(thm)],[])).
% 16.18/11.47 tff(25761,plain,
% 16.18/11.47 ((~![B: $i] : ((~less_3(B)) | (v90(constB178, B) <=> v129(constB178, B)))) | ((~less_3(bitIndex2)) | (v90(constB178, bitIndex2) <=> v129(constB178, bitIndex2)))),
% 16.18/11.47 inference(quant_inst,[status(thm)],[])).
% 16.18/11.47 tff(25762,plain,
% 16.18/11.47 ((~![B: $i] : ((~less_3(B)) | (v90(constB178, B) <=> v129(constB178, B)))) | (~less_3(bitIndex2)) | (v90(constB178, bitIndex2) <=> v129(constB178, bitIndex2))),
% 16.18/11.47 inference(modus_ponens,[status(thm)],[25761, 25760])).
% 16.18/11.47 tff(25763,plain,
% 16.18/11.47 (v90(constB178, bitIndex2) <=> v129(constB178, bitIndex2)),
% 16.18/11.47 inference(unit_resolution,[status(thm)],[25762, 413, 25759])).
% 16.18/11.47 tff(25764,plain,
% 16.18/11.47 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v129(VarNext, B) <=> v127(VarCurr, B))))) | ((~nextState(constB177, constB178)) | ![B: $i] : ((~less_3(B)) | (v129(constB178, B) <=> v127(constB177, B))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v129(VarNext, B) <=> v127(VarCurr, B))))) | (~nextState(constB177, constB178)) | ![B: $i] : ((~less_3(B)) | (v129(constB178, B) <=> v127(constB177, B))))),
% 16.18/11.47 inference(rewrite,[status(thm)],[])).
% 16.18/11.47 tff(25765,plain,
% 16.18/11.47 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v129(VarNext, B) <=> v127(VarCurr, B))))) | ((~nextState(constB177, constB178)) | ![B: $i] : ((~less_3(B)) | (v129(constB178, B) <=> v127(constB177, B))))),
% 16.18/11.47 inference(quant_inst,[status(thm)],[])).
% 16.18/11.47 tff(25766,plain,
% 16.18/11.47 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v129(VarNext, B) <=> v127(VarCurr, B))))) | (~nextState(constB177, constB178)) | ![B: $i] : ((~less_3(B)) | (v129(constB178, B) <=> v127(constB177, B)))),
% 16.18/11.47 inference(modus_ponens,[status(thm)],[25765, 25764])).
% 16.18/11.47 tff(25767,plain,
% 16.18/11.47 (![B: $i] : ((~less_3(B)) | (v129(constB178, B) <=> v127(constB177, B)))),
% 16.18/11.47 inference(unit_resolution,[status(thm)],[25766, 24606, 5156])).
% 16.18/11.47 tff(25768,plain,
% 16.18/11.47 (((~![B: $i] : ((~less_3(B)) | (v129(constB178, B) <=> v127(constB177, B)))) | ((~less_3(bitIndex2)) | (v129(constB178, bitIndex2) <=> v127(constB177, bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v129(constB178, B) <=> v127(constB177, B)))) | (~less_3(bitIndex2)) | (v129(constB178, bitIndex2) <=> v127(constB177, bitIndex2)))),
% 16.18/11.47 inference(rewrite,[status(thm)],[])).
% 16.18/11.47 tff(25769,plain,
% 16.18/11.47 ((~![B: $i] : ((~less_3(B)) | (v129(constB178, B) <=> v127(constB177, B)))) | ((~less_3(bitIndex2)) | (v129(constB178, bitIndex2) <=> v127(constB177, bitIndex2)))),
% 16.18/11.47 inference(quant_inst,[status(thm)],[])).
% 16.18/11.47 tff(25770,plain,
% 16.18/11.47 ((~![B: $i] : ((~less_3(B)) | (v129(constB178, B) <=> v127(constB177, B)))) | (~less_3(bitIndex2)) | (v129(constB178, bitIndex2) <=> v127(constB177, bitIndex2))),
% 16.18/11.47 inference(modus_ponens,[status(thm)],[25769, 25768])).
% 16.18/11.47 tff(25771,plain,
% 16.18/11.47 (v129(constB178, bitIndex2) <=> v127(constB177, bitIndex2)),
% 16.18/11.47 inference(unit_resolution,[status(thm)],[25770, 413, 25767])).
% 16.18/11.47 tff(25772,plain,
% 16.18/11.47 (((~![VarCurr: $i] : (v111(VarCurr) | ![B: $i] : ((~less_3(B)) | (v127(VarCurr, B) <=> v130(VarCurr, B))))) | (v111(constB177) | ![B: $i] : ((~less_3(B)) | (v127(constB177, B) <=> v130(constB177, B))))) <=> ((~![VarCurr: $i] : (v111(VarCurr) | ![B: $i] : ((~less_3(B)) | (v127(VarCurr, B) <=> v130(VarCurr, B))))) | v111(constB177) | ![B: $i] : ((~less_3(B)) | (v127(constB177, B) <=> v130(constB177, B))))),
% 16.18/11.47 inference(rewrite,[status(thm)],[])).
% 16.18/11.47 tff(25773,plain,
% 16.18/11.47 ((~![VarCurr: $i] : (v111(VarCurr) | ![B: $i] : ((~less_3(B)) | (v127(VarCurr, B) <=> v130(VarCurr, B))))) | (v111(constB177) | ![B: $i] : ((~less_3(B)) | (v127(constB177, B) <=> v130(constB177, B))))),
% 16.18/11.47 inference(quant_inst,[status(thm)],[])).
% 16.18/11.47 tff(25774,plain,
% 16.18/11.47 ((~![VarCurr: $i] : (v111(VarCurr) | ![B: $i] : ((~less_3(B)) | (v127(VarCurr, B) <=> v130(VarCurr, B))))) | v111(constB177) | ![B: $i] : ((~less_3(B)) | (v127(constB177, B) <=> v130(constB177, B)))),
% 16.18/11.47 inference(modus_ponens,[status(thm)],[25773, 25772])).
% 16.18/11.47 tff(25775,plain,
% 16.18/11.47 (![B: $i] : ((~less_3(B)) | (v127(constB177, B) <=> v130(constB177, B)))),
% 16.18/11.47 inference(unit_resolution,[status(thm)],[25774, 5177, 25736])).
% 16.18/11.47 tff(25776,plain,
% 16.18/11.47 (((~![B: $i] : ((~less_3(B)) | (v127(constB177, B) <=> v130(constB177, B)))) | ((~less_3(bitIndex2)) | (v127(constB177, bitIndex2) <=> v130(constB177, bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v127(constB177, B) <=> v130(constB177, B)))) | (~less_3(bitIndex2)) | (v127(constB177, bitIndex2) <=> v130(constB177, bitIndex2)))),
% 16.18/11.47 inference(rewrite,[status(thm)],[])).
% 16.18/11.47 tff(25777,plain,
% 16.18/11.47 ((~![B: $i] : ((~less_3(B)) | (v127(constB177, B) <=> v130(constB177, B)))) | ((~less_3(bitIndex2)) | (v127(constB177, bitIndex2) <=> v130(constB177, bitIndex2)))),
% 16.18/11.47 inference(quant_inst,[status(thm)],[])).
% 16.18/11.47 tff(25778,plain,
% 16.18/11.47 ((~![B: $i] : ((~less_3(B)) | (v127(constB177, B) <=> v130(constB177, B)))) | (~less_3(bitIndex2)) | (v127(constB177, bitIndex2) <=> v130(constB177, bitIndex2))),
% 16.18/11.47 inference(modus_ponens,[status(thm)],[25777, 25776])).
% 16.18/11.47 tff(25779,plain,
% 16.18/11.47 (v127(constB177, bitIndex2) <=> v130(constB177, bitIndex2)),
% 16.18/11.47 inference(unit_resolution,[status(thm)],[25778, 413, 25775])).
% 16.18/11.47 tff(25780,plain,
% 16.18/11.47 (((~![VarCurr: $i] : ((~v120(VarCurr)) | ![B: $i] : ((~less_3(B)) | (v130(VarCurr, B) <=> b010(B))))) | ((~v120(constB177)) | ![B: $i] : ((~less_3(B)) | (v130(constB177, B) <=> b010(B))))) <=> ((~![VarCurr: $i] : ((~v120(VarCurr)) | ![B: $i] : ((~less_3(B)) | (v130(VarCurr, B) <=> b010(B))))) | (~v120(constB177)) | ![B: $i] : ((~less_3(B)) | (v130(constB177, B) <=> b010(B))))),
% 16.18/11.47 inference(rewrite,[status(thm)],[])).
% 16.18/11.47 tff(25781,plain,
% 16.18/11.47 ((~![VarCurr: $i] : ((~v120(VarCurr)) | ![B: $i] : ((~less_3(B)) | (v130(VarCurr, B) <=> b010(B))))) | ((~v120(constB177)) | ![B: $i] : ((~less_3(B)) | (v130(constB177, B) <=> b010(B))))),
% 16.18/11.47 inference(quant_inst,[status(thm)],[])).
% 16.18/11.47 tff(25782,plain,
% 16.18/11.47 ((~![VarCurr: $i] : ((~v120(VarCurr)) | ![B: $i] : ((~less_3(B)) | (v130(VarCurr, B) <=> b010(B))))) | (~v120(constB177)) | ![B: $i] : ((~less_3(B)) | (v130(constB177, B) <=> b010(B)))),
% 16.18/11.47 inference(modus_ponens,[status(thm)],[25781, 25780])).
% 16.18/11.47 tff(25783,plain,
% 16.18/11.47 ((~v120(constB177)) | ![B: $i] : ((~less_3(B)) | (v130(constB177, B) <=> b010(B)))),
% 16.18/11.47 inference(unit_resolution,[status(thm)],[25782, 5797])).
% 16.18/11.47 tff(25784,plain,
% 16.18/11.47 (![B: $i] : ((~less_3(B)) | (v130(constB177, B) <=> b010(B)))),
% 16.18/11.47 inference(unit_resolution,[status(thm)],[25783, 25703])).
% 16.18/11.47 tff(25785,plain,
% 16.18/11.47 (((~![B: $i] : ((~less_3(B)) | (v130(constB177, B) <=> b010(B)))) | ((~less_3(bitIndex2)) | (v130(constB177, bitIndex2) <=> b010(bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v130(constB177, B) <=> b010(B)))) | (~less_3(bitIndex2)) | (v130(constB177, bitIndex2) <=> b010(bitIndex2)))),
% 16.18/11.47 inference(rewrite,[status(thm)],[])).
% 16.18/11.47 tff(25786,plain,
% 16.18/11.47 ((~![B: $i] : ((~less_3(B)) | (v130(constB177, B) <=> b010(B)))) | ((~less_3(bitIndex2)) | (v130(constB177, bitIndex2) <=> b010(bitIndex2)))),
% 16.18/11.47 inference(quant_inst,[status(thm)],[])).
% 16.18/11.47 tff(25787,plain,
% 16.18/11.47 ((~![B: $i] : ((~less_3(B)) | (v130(constB177, B) <=> b010(B)))) | (~less_3(bitIndex2)) | (v130(constB177, bitIndex2) <=> b010(bitIndex2))),
% 16.18/11.48 inference(modus_ponens,[status(thm)],[25786, 25785])).
% 16.18/11.48 tff(25788,plain,
% 16.18/11.48 (v130(constB177, bitIndex2) <=> b010(bitIndex2)),
% 16.18/11.48 inference(unit_resolution,[status(thm)],[25787, 413, 25784])).
% 16.18/11.48 tff(25789,plain,
% 16.18/11.48 ((~(v130(constB177, bitIndex2) <=> b010(bitIndex2))) | (~v130(constB177, bitIndex2)) | b010(bitIndex2)),
% 16.18/11.48 inference(tautology,[status(thm)],[])).
% 16.18/11.48 tff(25790,plain,
% 16.18/11.48 ((~(v130(constB177, bitIndex2) <=> b010(bitIndex2))) | (~v130(constB177, bitIndex2))),
% 16.18/11.48 inference(unit_resolution,[status(thm)],[25789, 5809])).
% 16.18/11.48 tff(25791,plain,
% 16.18/11.48 (~v130(constB177, bitIndex2)),
% 16.18/11.48 inference(unit_resolution,[status(thm)],[25790, 25788])).
% 16.18/11.48 tff(25792,plain,
% 16.18/11.48 ((~(v127(constB177, bitIndex2) <=> v130(constB177, bitIndex2))) | (~v127(constB177, bitIndex2)) | v130(constB177, bitIndex2)),
% 16.18/11.48 inference(tautology,[status(thm)],[])).
% 16.18/11.48 tff(25793,plain,
% 16.18/11.48 (~v127(constB177, bitIndex2)),
% 16.18/11.48 inference(unit_resolution,[status(thm)],[25792, 25791, 25779])).
% 16.18/11.48 tff(25794,plain,
% 16.18/11.48 ((~(v129(constB178, bitIndex2) <=> v127(constB177, bitIndex2))) | (~v129(constB178, bitIndex2)) | v127(constB177, bitIndex2)),
% 16.18/11.48 inference(tautology,[status(thm)],[])).
% 16.18/11.48 tff(25795,plain,
% 16.18/11.48 (~v129(constB178, bitIndex2)),
% 16.18/11.48 inference(unit_resolution,[status(thm)],[25794, 25793, 25771])).
% 16.18/11.48 tff(25796,plain,
% 16.18/11.48 ((~(v90(constB178, bitIndex2) <=> v129(constB178, bitIndex2))) | (~v90(constB178, bitIndex2)) | v129(constB178, bitIndex2)),
% 16.18/11.48 inference(tautology,[status(thm)],[])).
% 16.18/11.48 tff(25797,plain,
% 16.18/11.48 (~v90(constB178, bitIndex2)),
% 16.18/11.48 inference(unit_resolution,[status(thm)],[25796, 25795, 25763])).
% 16.18/11.48 tff(25798,plain,
% 16.18/11.48 ((~(v90(constB179, bitIndex2) <=> v90(constB178, bitIndex2))) | (~v90(constB179, bitIndex2)) | v90(constB178, bitIndex2)),
% 16.18/11.48 inference(tautology,[status(thm)],[])).
% 16.18/11.48 tff(25799,plain,
% 16.18/11.48 (~v90(constB179, bitIndex2)),
% 16.18/11.48 inference(unit_resolution,[status(thm)],[25798, 25797, 24603])).
% 16.18/11.48 tff(25800,plain,
% 16.18/11.48 (((~![B: $i] : ((~less_3(B)) | (v90(constB179, B) <=> v90(constB178, B)))) | ((~less_3(bitIndex0)) | (v90(constB179, bitIndex0) <=> v90(constB178, bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v90(constB179, B) <=> v90(constB178, B)))) | (~less_3(bitIndex0)) | (v90(constB179, bitIndex0) <=> v90(constB178, bitIndex0)))),
% 16.18/11.48 inference(rewrite,[status(thm)],[])).
% 16.18/11.48 tff(25801,plain,
% 16.18/11.48 ((~![B: $i] : ((~less_3(B)) | (v90(constB179, B) <=> v90(constB178, B)))) | ((~less_3(bitIndex0)) | (v90(constB179, bitIndex0) <=> v90(constB178, bitIndex0)))),
% 16.18/11.48 inference(quant_inst,[status(thm)],[])).
% 16.18/11.48 tff(25802,plain,
% 16.18/11.48 ((~![B: $i] : ((~less_3(B)) | (v90(constB179, B) <=> v90(constB178, B)))) | (~less_3(bitIndex0)) | (v90(constB179, bitIndex0) <=> v90(constB178, bitIndex0))),
% 16.18/11.48 inference(modus_ponens,[status(thm)],[25801, 25800])).
% 16.18/11.48 tff(25803,plain,
% 16.18/11.48 (v90(constB179, bitIndex0) <=> v90(constB178, bitIndex0)),
% 16.18/11.48 inference(unit_resolution,[status(thm)],[25802, 5004, 24599])).
% 16.18/11.48 tff(25804,plain,
% 16.18/11.48 (((~![B: $i] : ((~less_3(B)) | (v90(constB178, B) <=> v129(constB178, B)))) | ((~less_3(bitIndex0)) | (v90(constB178, bitIndex0) <=> v129(constB178, bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v90(constB178, B) <=> v129(constB178, B)))) | (~less_3(bitIndex0)) | (v90(constB178, bitIndex0) <=> v129(constB178, bitIndex0)))),
% 16.18/11.48 inference(rewrite,[status(thm)],[])).
% 16.18/11.48 tff(25805,plain,
% 16.18/11.48 ((~![B: $i] : ((~less_3(B)) | (v90(constB178, B) <=> v129(constB178, B)))) | ((~less_3(bitIndex0)) | (v90(constB178, bitIndex0) <=> v129(constB178, bitIndex0)))),
% 16.18/11.48 inference(quant_inst,[status(thm)],[])).
% 16.18/11.48 tff(25806,plain,
% 16.18/11.48 ((~![B: $i] : ((~less_3(B)) | (v90(constB178, B) <=> v129(constB178, B)))) | (~less_3(bitIndex0)) | (v90(constB178, bitIndex0) <=> v129(constB178, bitIndex0))),
% 16.18/11.48 inference(modus_ponens,[status(thm)],[25805, 25804])).
% 16.18/11.48 tff(25807,plain,
% 16.18/11.48 (v90(constB178, bitIndex0) <=> v129(constB178, bitIndex0)),
% 16.18/11.48 inference(unit_resolution,[status(thm)],[25806, 5004, 25759])).
% 16.18/11.48 tff(25808,plain,
% 16.18/11.48 (((~![B: $i] : ((~less_3(B)) | (v129(constB178, B) <=> v127(constB177, B)))) | ((~less_3(bitIndex0)) | (v129(constB178, bitIndex0) <=> v127(constB177, bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v129(constB178, B) <=> v127(constB177, B)))) | (~less_3(bitIndex0)) | (v129(constB178, bitIndex0) <=> v127(constB177, bitIndex0)))),
% 16.28/11.48 inference(rewrite,[status(thm)],[])).
% 16.28/11.48 tff(25809,plain,
% 16.28/11.48 ((~![B: $i] : ((~less_3(B)) | (v129(constB178, B) <=> v127(constB177, B)))) | ((~less_3(bitIndex0)) | (v129(constB178, bitIndex0) <=> v127(constB177, bitIndex0)))),
% 16.28/11.48 inference(quant_inst,[status(thm)],[])).
% 16.28/11.48 tff(25810,plain,
% 16.28/11.48 ((~![B: $i] : ((~less_3(B)) | (v129(constB178, B) <=> v127(constB177, B)))) | (~less_3(bitIndex0)) | (v129(constB178, bitIndex0) <=> v127(constB177, bitIndex0))),
% 16.28/11.48 inference(modus_ponens,[status(thm)],[25809, 25808])).
% 16.28/11.48 tff(25811,plain,
% 16.28/11.48 (v129(constB178, bitIndex0) <=> v127(constB177, bitIndex0)),
% 16.28/11.48 inference(unit_resolution,[status(thm)],[25810, 5004, 25767])).
% 16.28/11.48 tff(25812,plain,
% 16.28/11.48 (((~![B: $i] : ((~less_3(B)) | (v127(constB177, B) <=> v130(constB177, B)))) | ((~less_3(bitIndex0)) | (v127(constB177, bitIndex0) <=> v130(constB177, bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v127(constB177, B) <=> v130(constB177, B)))) | (~less_3(bitIndex0)) | (v127(constB177, bitIndex0) <=> v130(constB177, bitIndex0)))),
% 16.28/11.48 inference(rewrite,[status(thm)],[])).
% 16.28/11.48 tff(25813,plain,
% 16.28/11.48 ((~![B: $i] : ((~less_3(B)) | (v127(constB177, B) <=> v130(constB177, B)))) | ((~less_3(bitIndex0)) | (v127(constB177, bitIndex0) <=> v130(constB177, bitIndex0)))),
% 16.28/11.48 inference(quant_inst,[status(thm)],[])).
% 16.28/11.48 tff(25814,plain,
% 16.28/11.48 ((~![B: $i] : ((~less_3(B)) | (v127(constB177, B) <=> v130(constB177, B)))) | (~less_3(bitIndex0)) | (v127(constB177, bitIndex0) <=> v130(constB177, bitIndex0))),
% 16.28/11.48 inference(modus_ponens,[status(thm)],[25813, 25812])).
% 16.28/11.48 tff(25815,plain,
% 16.28/11.48 (v127(constB177, bitIndex0) <=> v130(constB177, bitIndex0)),
% 16.28/11.48 inference(unit_resolution,[status(thm)],[25814, 5004, 25775])).
% 16.28/11.48 tff(25816,plain,
% 16.28/11.48 (((~![B: $i] : ((~less_3(B)) | (v130(constB177, B) <=> b010(B)))) | ((~less_3(bitIndex0)) | (v130(constB177, bitIndex0) <=> b010(bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v130(constB177, B) <=> b010(B)))) | (~less_3(bitIndex0)) | (v130(constB177, bitIndex0) <=> b010(bitIndex0)))),
% 16.28/11.48 inference(rewrite,[status(thm)],[])).
% 16.28/11.48 tff(25817,plain,
% 16.28/11.48 ((~![B: $i] : ((~less_3(B)) | (v130(constB177, B) <=> b010(B)))) | ((~less_3(bitIndex0)) | (v130(constB177, bitIndex0) <=> b010(bitIndex0)))),
% 16.28/11.48 inference(quant_inst,[status(thm)],[])).
% 16.28/11.48 tff(25818,plain,
% 16.28/11.48 ((~![B: $i] : ((~less_3(B)) | (v130(constB177, B) <=> b010(B)))) | (~less_3(bitIndex0)) | (v130(constB177, bitIndex0) <=> b010(bitIndex0))),
% 16.28/11.48 inference(modus_ponens,[status(thm)],[25817, 25816])).
% 16.28/11.48 tff(25819,plain,
% 16.28/11.48 (v130(constB177, bitIndex0) <=> b010(bitIndex0)),
% 16.28/11.48 inference(unit_resolution,[status(thm)],[25818, 5004, 25784])).
% 16.28/11.48 tff(25820,plain,
% 16.28/11.48 ((~(v130(constB177, bitIndex0) <=> b010(bitIndex0))) | (~v130(constB177, bitIndex0)) | b010(bitIndex0)),
% 16.28/11.48 inference(tautology,[status(thm)],[])).
% 16.28/11.48 tff(25821,plain,
% 16.28/11.48 ((~(v130(constB177, bitIndex0) <=> b010(bitIndex0))) | (~v130(constB177, bitIndex0))),
% 16.28/11.48 inference(unit_resolution,[status(thm)],[25820, 5843])).
% 16.28/11.48 tff(25822,plain,
% 16.28/11.48 (~v130(constB177, bitIndex0)),
% 16.28/11.48 inference(unit_resolution,[status(thm)],[25821, 25819])).
% 16.28/11.48 tff(25823,plain,
% 16.28/11.48 ((~(v127(constB177, bitIndex0) <=> v130(constB177, bitIndex0))) | (~v127(constB177, bitIndex0)) | v130(constB177, bitIndex0)),
% 16.28/11.48 inference(tautology,[status(thm)],[])).
% 16.28/11.48 tff(25824,plain,
% 16.28/11.48 (~v127(constB177, bitIndex0)),
% 16.28/11.48 inference(unit_resolution,[status(thm)],[25823, 25822, 25815])).
% 16.28/11.48 tff(25825,plain,
% 16.28/11.48 ((~(v129(constB178, bitIndex0) <=> v127(constB177, bitIndex0))) | (~v129(constB178, bitIndex0)) | v127(constB177, bitIndex0)),
% 16.28/11.48 inference(tautology,[status(thm)],[])).
% 16.28/11.48 tff(25826,plain,
% 16.28/11.48 (~v129(constB178, bitIndex0)),
% 16.28/11.48 inference(unit_resolution,[status(thm)],[25825, 25824, 25811])).
% 16.28/11.48 tff(25827,plain,
% 16.28/11.48 ((~(v90(constB178, bitIndex0) <=> v129(constB178, bitIndex0))) | (~v90(constB178, bitIndex0)) | v129(constB178, bitIndex0)),
% 16.28/11.48 inference(tautology,[status(thm)],[])).
% 16.28/11.48 tff(25828,plain,
% 16.28/11.48 (~v90(constB178, bitIndex0)),
% 16.28/11.48 inference(unit_resolution,[status(thm)],[25827, 25826, 25807])).
% 16.28/11.48 tff(25829,plain,
% 16.28/11.48 ((~(v90(constB179, bitIndex0) <=> v90(constB178, bitIndex0))) | (~v90(constB179, bitIndex0)) | v90(constB178, bitIndex0)),
% 16.28/11.48 inference(tautology,[status(thm)],[])).
% 16.28/11.48 tff(25830,plain,
% 16.28/11.48 (~v90(constB179, bitIndex0)),
% 16.28/11.48 inference(unit_resolution,[status(thm)],[25829, 25828, 25803])).
% 16.28/11.48 tff(25831,plain,
% 16.28/11.48 (((~![B: $i] : ((~less_3(B)) | (v90(constB179, B) <=> v90(constB178, B)))) | ((~less_3(bitIndex1)) | (v90(constB179, bitIndex1) <=> v90(constB178, bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v90(constB179, B) <=> v90(constB178, B)))) | (~less_3(bitIndex1)) | (v90(constB179, bitIndex1) <=> v90(constB178, bitIndex1)))),
% 16.28/11.48 inference(rewrite,[status(thm)],[])).
% 16.28/11.48 tff(25832,plain,
% 16.28/11.48 ((~![B: $i] : ((~less_3(B)) | (v90(constB179, B) <=> v90(constB178, B)))) | ((~less_3(bitIndex1)) | (v90(constB179, bitIndex1) <=> v90(constB178, bitIndex1)))),
% 16.28/11.48 inference(quant_inst,[status(thm)],[])).
% 16.28/11.48 tff(25833,plain,
% 16.28/11.48 ((~![B: $i] : ((~less_3(B)) | (v90(constB179, B) <=> v90(constB178, B)))) | (~less_3(bitIndex1)) | (v90(constB179, bitIndex1) <=> v90(constB178, bitIndex1))),
% 16.28/11.48 inference(modus_ponens,[status(thm)],[25832, 25831])).
% 16.28/11.48 tff(25834,plain,
% 16.28/11.48 (v90(constB179, bitIndex1) <=> v90(constB178, bitIndex1)),
% 16.28/11.48 inference(unit_resolution,[status(thm)],[25833, 5017, 24599])).
% 16.28/11.48 tff(25835,plain,
% 16.28/11.48 (((~![B: $i] : ((~less_3(B)) | (v90(constB178, B) <=> v129(constB178, B)))) | ((~less_3(bitIndex1)) | (v90(constB178, bitIndex1) <=> v129(constB178, bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v90(constB178, B) <=> v129(constB178, B)))) | (~less_3(bitIndex1)) | (v90(constB178, bitIndex1) <=> v129(constB178, bitIndex1)))),
% 16.28/11.48 inference(rewrite,[status(thm)],[])).
% 16.28/11.48 tff(25836,plain,
% 16.28/11.48 ((~![B: $i] : ((~less_3(B)) | (v90(constB178, B) <=> v129(constB178, B)))) | ((~less_3(bitIndex1)) | (v90(constB178, bitIndex1) <=> v129(constB178, bitIndex1)))),
% 16.28/11.48 inference(quant_inst,[status(thm)],[])).
% 16.28/11.48 tff(25837,plain,
% 16.28/11.48 ((~![B: $i] : ((~less_3(B)) | (v90(constB178, B) <=> v129(constB178, B)))) | (~less_3(bitIndex1)) | (v90(constB178, bitIndex1) <=> v129(constB178, bitIndex1))),
% 16.28/11.48 inference(modus_ponens,[status(thm)],[25836, 25835])).
% 16.28/11.48 tff(25838,plain,
% 16.28/11.48 (v90(constB178, bitIndex1) <=> v129(constB178, bitIndex1)),
% 16.28/11.48 inference(unit_resolution,[status(thm)],[25837, 5017, 25759])).
% 16.28/11.48 tff(25839,plain,
% 16.28/11.48 (((~![B: $i] : ((~less_3(B)) | (v129(constB178, B) <=> v127(constB177, B)))) | ((~less_3(bitIndex1)) | (v129(constB178, bitIndex1) <=> v127(constB177, bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v129(constB178, B) <=> v127(constB177, B)))) | (~less_3(bitIndex1)) | (v129(constB178, bitIndex1) <=> v127(constB177, bitIndex1)))),
% 16.28/11.48 inference(rewrite,[status(thm)],[])).
% 16.28/11.48 tff(25840,plain,
% 16.28/11.48 ((~![B: $i] : ((~less_3(B)) | (v129(constB178, B) <=> v127(constB177, B)))) | ((~less_3(bitIndex1)) | (v129(constB178, bitIndex1) <=> v127(constB177, bitIndex1)))),
% 16.28/11.48 inference(quant_inst,[status(thm)],[])).
% 16.28/11.48 tff(25841,plain,
% 16.28/11.48 ((~![B: $i] : ((~less_3(B)) | (v129(constB178, B) <=> v127(constB177, B)))) | (~less_3(bitIndex1)) | (v129(constB178, bitIndex1) <=> v127(constB177, bitIndex1))),
% 16.28/11.48 inference(modus_ponens,[status(thm)],[25840, 25839])).
% 16.28/11.48 tff(25842,plain,
% 16.28/11.48 (v129(constB178, bitIndex1) <=> v127(constB177, bitIndex1)),
% 16.28/11.48 inference(unit_resolution,[status(thm)],[25841, 5017, 25767])).
% 16.28/11.48 tff(25843,plain,
% 16.28/11.48 (((~![B: $i] : ((~less_3(B)) | (v127(constB177, B) <=> v130(constB177, B)))) | ((~less_3(bitIndex1)) | (v127(constB177, bitIndex1) <=> v130(constB177, bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v127(constB177, B) <=> v130(constB177, B)))) | (~less_3(bitIndex1)) | (v127(constB177, bitIndex1) <=> v130(constB177, bitIndex1)))),
% 16.28/11.48 inference(rewrite,[status(thm)],[])).
% 16.28/11.48 tff(25844,plain,
% 16.28/11.48 ((~![B: $i] : ((~less_3(B)) | (v127(constB177, B) <=> v130(constB177, B)))) | ((~less_3(bitIndex1)) | (v127(constB177, bitIndex1) <=> v130(constB177, bitIndex1)))),
% 16.28/11.48 inference(quant_inst,[status(thm)],[])).
% 16.28/11.49 tff(25845,plain,
% 16.28/11.49 ((~![B: $i] : ((~less_3(B)) | (v127(constB177, B) <=> v130(constB177, B)))) | (~less_3(bitIndex1)) | (v127(constB177, bitIndex1) <=> v130(constB177, bitIndex1))),
% 16.28/11.49 inference(modus_ponens,[status(thm)],[25844, 25843])).
% 16.28/11.49 tff(25846,plain,
% 16.28/11.49 (v127(constB177, bitIndex1) <=> v130(constB177, bitIndex1)),
% 16.28/11.49 inference(unit_resolution,[status(thm)],[25845, 5017, 25775])).
% 16.28/11.49 tff(25847,plain,
% 16.28/11.49 (((~![B: $i] : ((~less_3(B)) | (v130(constB177, B) <=> b010(B)))) | ((~less_3(bitIndex1)) | (v130(constB177, bitIndex1) <=> b010(bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v130(constB177, B) <=> b010(B)))) | (~less_3(bitIndex1)) | (v130(constB177, bitIndex1) <=> b010(bitIndex1)))),
% 16.28/11.49 inference(rewrite,[status(thm)],[])).
% 16.28/11.49 tff(25848,plain,
% 16.28/11.49 ((~![B: $i] : ((~less_3(B)) | (v130(constB177, B) <=> b010(B)))) | ((~less_3(bitIndex1)) | (v130(constB177, bitIndex1) <=> b010(bitIndex1)))),
% 16.28/11.49 inference(quant_inst,[status(thm)],[])).
% 16.28/11.49 tff(25849,plain,
% 16.28/11.49 ((~![B: $i] : ((~less_3(B)) | (v130(constB177, B) <=> b010(B)))) | (~less_3(bitIndex1)) | (v130(constB177, bitIndex1) <=> b010(bitIndex1))),
% 16.28/11.49 inference(modus_ponens,[status(thm)],[25848, 25847])).
% 16.28/11.49 tff(25850,plain,
% 16.28/11.49 (v130(constB177, bitIndex1) <=> b010(bitIndex1)),
% 16.28/11.49 inference(unit_resolution,[status(thm)],[25849, 5017, 25784])).
% 16.28/11.49 tff(25851,plain,
% 16.28/11.49 ((~(v130(constB177, bitIndex1) <=> b010(bitIndex1))) | v130(constB177, bitIndex1) | (~b010(bitIndex1))),
% 16.28/11.49 inference(tautology,[status(thm)],[])).
% 16.28/11.49 tff(25852,plain,
% 16.28/11.49 ((~(v130(constB177, bitIndex1) <=> b010(bitIndex1))) | v130(constB177, bitIndex1)),
% 16.28/11.49 inference(unit_resolution,[status(thm)],[25851, 5877])).
% 16.28/11.49 tff(25853,plain,
% 16.28/11.49 (v130(constB177, bitIndex1)),
% 16.28/11.49 inference(unit_resolution,[status(thm)],[25852, 25850])).
% 16.28/11.49 tff(25854,plain,
% 16.28/11.49 ((~(v127(constB177, bitIndex1) <=> v130(constB177, bitIndex1))) | v127(constB177, bitIndex1) | (~v130(constB177, bitIndex1))),
% 16.28/11.49 inference(tautology,[status(thm)],[])).
% 16.28/11.49 tff(25855,plain,
% 16.28/11.49 (v127(constB177, bitIndex1)),
% 16.28/11.49 inference(unit_resolution,[status(thm)],[25854, 25853, 25846])).
% 16.28/11.49 tff(25856,plain,
% 16.28/11.49 ((~(v129(constB178, bitIndex1) <=> v127(constB177, bitIndex1))) | v129(constB178, bitIndex1) | (~v127(constB177, bitIndex1))),
% 16.28/11.49 inference(tautology,[status(thm)],[])).
% 16.28/11.49 tff(25857,plain,
% 16.28/11.49 (v129(constB178, bitIndex1)),
% 16.28/11.49 inference(unit_resolution,[status(thm)],[25856, 25855, 25842])).
% 16.28/11.49 tff(25858,plain,
% 16.28/11.49 ((~(v90(constB178, bitIndex1) <=> v129(constB178, bitIndex1))) | v90(constB178, bitIndex1) | (~v129(constB178, bitIndex1))),
% 16.28/11.49 inference(tautology,[status(thm)],[])).
% 16.28/11.49 tff(25859,plain,
% 16.28/11.49 (v90(constB178, bitIndex1)),
% 16.28/11.49 inference(unit_resolution,[status(thm)],[25858, 25857, 25838])).
% 16.28/11.49 tff(25860,plain,
% 16.28/11.49 ((~(v90(constB179, bitIndex1) <=> v90(constB178, bitIndex1))) | v90(constB179, bitIndex1) | (~v90(constB178, bitIndex1))),
% 16.28/11.49 inference(tautology,[status(thm)],[])).
% 16.28/11.49 tff(25861,plain,
% 16.28/11.49 (v90(constB179, bitIndex1)),
% 16.28/11.49 inference(unit_resolution,[status(thm)],[25860, 25859, 25834])).
% 16.28/11.49 tff(25862,plain,
% 16.28/11.49 ((~(v90(constB179, bitIndex2) | (~v90(constB179, bitIndex1)) | v90(constB179, bitIndex0))) | v90(constB179, bitIndex2) | (~v90(constB179, bitIndex1)) | v90(constB179, bitIndex0)),
% 16.28/11.49 inference(tautology,[status(thm)],[])).
% 16.28/11.49 tff(25863,plain,
% 16.28/11.49 (~(v90(constB179, bitIndex2) | (~v90(constB179, bitIndex1)) | v90(constB179, bitIndex0))),
% 16.28/11.49 inference(unit_resolution,[status(thm)],[25862, 25861, 25830, 25799])).
% 16.28/11.49 tff(25864,plain,
% 16.28/11.49 ((~(v121(constB179) <=> (~(v90(constB179, bitIndex2) | (~v90(constB179, bitIndex1)) | v90(constB179, bitIndex0))))) | v121(constB179) | (v90(constB179, bitIndex2) | (~v90(constB179, bitIndex1)) | v90(constB179, bitIndex0))),
% 16.28/11.49 inference(tautology,[status(thm)],[])).
% 16.28/11.49 tff(25865,plain,
% 16.28/11.49 (v121(constB179)),
% 16.28/11.49 inference(unit_resolution,[status(thm)],[25864, 25863, 24571])).
% 16.28/11.49 tff(25866,plain,
% 16.28/11.49 ((v118(constB179) | v121(constB179)) | (~v121(constB179))),
% 16.28/11.49 inference(tautology,[status(thm)],[])).
% 16.28/11.49 tff(25867,plain,
% 16.28/11.49 (v118(constB179) | v121(constB179)),
% 16.28/11.49 inference(unit_resolution,[status(thm)],[25866, 25865])).
% 16.28/11.49 tff(25868,plain,
% 16.28/11.49 ((~(v117(constB179) <=> (v118(constB179) | v121(constB179)))) | v117(constB179) | (~(v118(constB179) | v121(constB179)))),
% 16.28/11.49 inference(tautology,[status(thm)],[])).
% 16.28/11.49 tff(25869,plain,
% 16.28/11.49 (v117(constB179)),
% 16.28/11.49 inference(unit_resolution,[status(thm)],[25868, 25867, 24564])).
% 16.28/11.49 tff(25870,plain,
% 16.28/11.49 ((v117(constB179) | v122(constB179)) | (~v117(constB179))),
% 16.28/11.49 inference(tautology,[status(thm)],[])).
% 16.28/11.49 tff(25871,plain,
% 16.28/11.49 (v117(constB179) | v122(constB179)),
% 16.28/11.49 inference(unit_resolution,[status(thm)],[25870, 25869])).
% 16.28/11.49 tff(25872,plain,
% 16.28/11.49 ((~(v116(constB179) <=> (v117(constB179) | v122(constB179)))) | v116(constB179) | (~(v117(constB179) | v122(constB179)))),
% 16.28/11.49 inference(tautology,[status(thm)],[])).
% 16.28/11.49 tff(25873,plain,
% 16.28/11.49 (v116(constB179)),
% 16.28/11.49 inference(unit_resolution,[status(thm)],[25872, 25871, 24562])).
% 16.28/11.49 tff(25874,plain,
% 16.28/11.49 ((v116(constB179) | v123(constB179)) | (~v116(constB179))),
% 16.28/11.49 inference(tautology,[status(thm)],[])).
% 16.28/11.49 tff(25875,plain,
% 16.28/11.49 (v116(constB179) | v123(constB179)),
% 16.28/11.49 inference(unit_resolution,[status(thm)],[25874, 25873])).
% 16.28/11.49 tff(25876,plain,
% 16.28/11.49 ((~(v115(constB179) <=> (v116(constB179) | v123(constB179)))) | v115(constB179) | (~(v116(constB179) | v123(constB179)))),
% 16.28/11.49 inference(tautology,[status(thm)],[])).
% 16.28/11.49 tff(25877,plain,
% 16.28/11.49 (v115(constB179)),
% 16.28/11.49 inference(unit_resolution,[status(thm)],[25876, 25875, 24560])).
% 16.28/11.49 tff(25878,plain,
% 16.28/11.49 ((v115(constB179) | v124(constB179)) | (~v115(constB179))),
% 16.28/11.49 inference(tautology,[status(thm)],[])).
% 16.28/11.49 tff(25879,plain,
% 16.28/11.49 (v115(constB179) | v124(constB179)),
% 16.28/11.49 inference(unit_resolution,[status(thm)],[25878, 25877])).
% 16.28/11.49 tff(25880,plain,
% 16.28/11.49 ((~(v114(constB179) <=> (v115(constB179) | v124(constB179)))) | v114(constB179) | (~(v115(constB179) | v124(constB179)))),
% 16.28/11.49 inference(tautology,[status(thm)],[])).
% 16.28/11.49 tff(25881,plain,
% 16.28/11.49 (v114(constB179)),
% 16.28/11.49 inference(unit_resolution,[status(thm)],[25880, 25879, 24558])).
% 16.28/11.49 tff(25882,plain,
% 16.28/11.49 ((v114(constB179) | v125(constB179)) | (~v114(constB179))),
% 16.28/11.49 inference(tautology,[status(thm)],[])).
% 16.28/11.49 tff(25883,plain,
% 16.28/11.49 (v114(constB179) | v125(constB179)),
% 16.28/11.49 inference(unit_resolution,[status(thm)],[25882, 25881])).
% 16.28/11.49 tff(25884,plain,
% 16.28/11.49 ((~(v113(constB179) <=> (v114(constB179) | v125(constB179)))) | v113(constB179) | (~(v114(constB179) | v125(constB179)))),
% 16.28/11.49 inference(tautology,[status(thm)],[])).
% 16.28/11.49 tff(25885,plain,
% 16.28/11.49 (v113(constB179)),
% 16.28/11.49 inference(unit_resolution,[status(thm)],[25884, 25883, 24556])).
% 16.28/11.49 tff(25886,plain,
% 16.28/11.49 ((~![VarCurr: $i] : ((~v126(VarCurr)) <=> v111(VarCurr))) | ((~v126(constB179)) <=> v111(constB179))),
% 16.28/11.49 inference(quant_inst,[status(thm)],[])).
% 16.28/11.49 tff(25887,plain,
% 16.28/11.49 ((~v126(constB179)) <=> v111(constB179)),
% 16.28/11.49 inference(unit_resolution,[status(thm)],[25886, 5074])).
% 16.28/11.49 tff(25888,plain,
% 16.28/11.49 ((~![VarCurr: $i] : (v111(VarCurr) <=> v26(VarCurr))) | (v111(constB179) <=> v26(constB179))),
% 16.28/11.49 inference(quant_inst,[status(thm)],[])).
% 16.28/11.49 tff(25889,plain,
% 16.28/11.49 (v111(constB179) <=> v26(constB179)),
% 16.28/11.49 inference(unit_resolution,[status(thm)],[25888, 5086])).
% 16.28/11.49 tff(25890,plain,
% 16.28/11.49 ((~![VarCurr: $i] : (~v26(VarCurr))) | (~v26(constB179))),
% 16.28/11.49 inference(quant_inst,[status(thm)],[])).
% 16.28/11.49 tff(25891,plain,
% 16.28/11.49 (~v26(constB179)),
% 16.28/11.49 inference(unit_resolution,[status(thm)],[25890, 5098])).
% 16.28/11.49 tff(25892,plain,
% 16.28/11.49 ((~(v111(constB179) <=> v26(constB179))) | (~v111(constB179)) | v26(constB179)),
% 16.28/11.49 inference(tautology,[status(thm)],[])).
% 16.28/11.49 tff(25893,plain,
% 16.28/11.49 ((~(v111(constB179) <=> v26(constB179))) | (~v111(constB179))),
% 16.28/11.49 inference(unit_resolution,[status(thm)],[25892, 25891])).
% 16.28/11.49 tff(25894,plain,
% 16.28/11.49 (~v111(constB179)),
% 16.28/11.49 inference(unit_resolution,[status(thm)],[25893, 25889])).
% 16.28/11.49 tff(25895,plain,
% 16.28/11.49 ((~((~v126(constB179)) <=> v111(constB179))) | v126(constB179) | v111(constB179)),
% 16.28/11.49 inference(tautology,[status(thm)],[])).
% 16.28/11.49 tff(25896,plain,
% 16.28/11.49 ((~((~v126(constB179)) <=> v111(constB179))) | v126(constB179)),
% 16.28/11.49 inference(unit_resolution,[status(thm)],[25895, 25894])).
% 16.28/11.49 tff(25897,plain,
% 16.28/11.49 (v126(constB179)),
% 16.28/11.49 inference(unit_resolution,[status(thm)],[25896, 25887])).
% 16.28/11.49 tff(25898,plain,
% 16.28/11.49 ((~((~v113(constB179)) | (~v126(constB179)))) | (~v113(constB179)) | (~v126(constB179))),
% 16.28/11.49 inference(tautology,[status(thm)],[])).
% 16.28/11.49 tff(25899,plain,
% 16.28/11.49 ((~((~v113(constB179)) | (~v126(constB179)))) | (~v113(constB179))),
% 16.28/11.49 inference(unit_resolution,[status(thm)],[25898, 25897])).
% 16.28/11.49 tff(25900,plain,
% 16.28/11.49 (~((~v113(constB179)) | (~v126(constB179)))),
% 16.28/11.49 inference(unit_resolution,[status(thm)],[25899, 25885])).
% 16.28/11.49 tff(25901,plain,
% 16.28/11.49 ((~(v112(constB179) <=> (~((~v113(constB179)) | (~v126(constB179)))))) | v112(constB179) | ((~v113(constB179)) | (~v126(constB179)))),
% 16.28/11.49 inference(tautology,[status(thm)],[])).
% 16.28/11.49 tff(25902,plain,
% 16.28/11.49 (v112(constB179)),
% 16.28/11.49 inference(unit_resolution,[status(thm)],[25901, 25900, 24554])).
% 16.28/11.49 tff(25903,plain,
% 16.28/11.49 ((v111(constB179) | v112(constB179)) | (~v112(constB179))),
% 16.28/11.49 inference(tautology,[status(thm)],[])).
% 16.28/11.49 tff(25904,plain,
% 16.28/11.49 (v111(constB179) | v112(constB179)),
% 16.28/11.49 inference(unit_resolution,[status(thm)],[25903, 25902])).
% 16.28/11.49 tff(25905,plain,
% 16.28/11.49 ((~(v108(constB179) <=> (v111(constB179) | v112(constB179)))) | v108(constB179) | (~(v111(constB179) | v112(constB179)))),
% 16.28/11.49 inference(tautology,[status(thm)],[])).
% 16.28/11.49 tff(25906,plain,
% 16.28/11.49 (v108(constB179)),
% 16.28/11.49 inference(unit_resolution,[status(thm)],[25905, 25904, 24552])).
% 16.28/11.49 tff(25907,plain,
% 16.28/11.49 ((~(v110(constB180) <=> v108(constB179))) | v110(constB180) | (~v108(constB179))),
% 16.28/11.49 inference(tautology,[status(thm)],[])).
% 16.28/11.49 tff(25908,plain,
% 16.28/11.49 (v110(constB180)),
% 16.28/11.49 inference(unit_resolution,[status(thm)],[25907, 25906, 24550])).
% 16.28/11.49 tff(25909,plain,
% 16.28/11.49 ((~((~v101(constB180)) | (~v110(constB180)))) | (~v101(constB180)) | (~v110(constB180))),
% 16.28/11.49 inference(tautology,[status(thm)],[])).
% 16.28/11.49 tff(25910,plain,
% 16.28/11.49 (~((~v101(constB180)) | (~v110(constB180)))),
% 16.28/11.49 inference(unit_resolution,[status(thm)],[25909, 25908, 24546])).
% 16.28/11.49 tff(25911,plain,
% 16.28/11.49 ((~(v100(constB180) <=> (~((~v101(constB180)) | (~v110(constB180)))))) | v100(constB180) | ((~v101(constB180)) | (~v110(constB180)))),
% 16.28/11.49 inference(tautology,[status(thm)],[])).
% 16.28/11.49 tff(25912,plain,
% 16.28/11.49 (v100(constB180)),
% 16.28/11.49 inference(unit_resolution,[status(thm)],[25911, 25910, 24515])).
% 16.28/11.49 tff(25913,plain,
% 16.28/11.49 (((~![VarNext: $i] : ((~v100(VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v129(VarNext, B))))) | ((~v100(constB180)) | ![B: $i] : ((~less_3(B)) | (v90(constB180, B) <=> v129(constB180, B))))) <=> ((~![VarNext: $i] : ((~v100(VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v129(VarNext, B))))) | (~v100(constB180)) | ![B: $i] : ((~less_3(B)) | (v90(constB180, B) <=> v129(constB180, B))))),
% 16.28/11.49 inference(rewrite,[status(thm)],[])).
% 16.28/11.49 tff(25914,plain,
% 16.28/11.49 ((~![VarNext: $i] : ((~v100(VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v129(VarNext, B))))) | ((~v100(constB180)) | ![B: $i] : ((~less_3(B)) | (v90(constB180, B) <=> v129(constB180, B))))),
% 16.28/11.49 inference(quant_inst,[status(thm)],[])).
% 16.28/11.49 tff(25915,plain,
% 16.28/11.49 ((~![VarNext: $i] : ((~v100(VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v129(VarNext, B))))) | (~v100(constB180)) | ![B: $i] : ((~less_3(B)) | (v90(constB180, B) <=> v129(constB180, B)))),
% 16.28/11.49 inference(modus_ponens,[status(thm)],[25914, 25913])).
% 16.28/11.49 tff(25916,plain,
% 16.28/11.49 ((~v100(constB180)) | ![B: $i] : ((~less_3(B)) | (v90(constB180, B) <=> v129(constB180, B)))),
% 16.28/11.49 inference(unit_resolution,[status(thm)],[25915, 5134])).
% 16.28/11.49 tff(25917,plain,
% 16.28/11.49 (![B: $i] : ((~less_3(B)) | (v90(constB180, B) <=> v129(constB180, B)))),
% 16.28/11.49 inference(unit_resolution,[status(thm)],[25916, 25912])).
% 16.28/11.49 tff(25918,plain,
% 16.28/11.49 (((~![B: $i] : ((~less_3(B)) | (v90(constB180, B) <=> v129(constB180, B)))) | ((~less_3(bitIndex2)) | (v90(constB180, bitIndex2) <=> v129(constB180, bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v90(constB180, B) <=> v129(constB180, B)))) | (~less_3(bitIndex2)) | (v90(constB180, bitIndex2) <=> v129(constB180, bitIndex2)))),
% 16.28/11.49 inference(rewrite,[status(thm)],[])).
% 16.28/11.49 tff(25919,plain,
% 16.28/11.49 ((~![B: $i] : ((~less_3(B)) | (v90(constB180, B) <=> v129(constB180, B)))) | ((~less_3(bitIndex2)) | (v90(constB180, bitIndex2) <=> v129(constB180, bitIndex2)))),
% 16.28/11.49 inference(quant_inst,[status(thm)],[])).
% 16.28/11.49 tff(25920,plain,
% 16.28/11.49 ((~![B: $i] : ((~less_3(B)) | (v90(constB180, B) <=> v129(constB180, B)))) | (~less_3(bitIndex2)) | (v90(constB180, bitIndex2) <=> v129(constB180, bitIndex2))),
% 16.28/11.49 inference(modus_ponens,[status(thm)],[25919, 25918])).
% 16.28/11.49 tff(25921,plain,
% 16.28/11.49 (v90(constB180, bitIndex2) <=> v129(constB180, bitIndex2)),
% 16.28/11.49 inference(unit_resolution,[status(thm)],[25920, 413, 25917])).
% 16.28/11.49 tff(25922,plain,
% 16.28/11.49 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v129(VarNext, B) <=> v127(VarCurr, B))))) | ((~nextState(constB179, constB180)) | ![B: $i] : ((~less_3(B)) | (v129(constB180, B) <=> v127(constB179, B))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v129(VarNext, B) <=> v127(VarCurr, B))))) | (~nextState(constB179, constB180)) | ![B: $i] : ((~less_3(B)) | (v129(constB180, B) <=> v127(constB179, B))))),
% 16.28/11.49 inference(rewrite,[status(thm)],[])).
% 16.28/11.49 tff(25923,plain,
% 16.28/11.49 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v129(VarNext, B) <=> v127(VarCurr, B))))) | ((~nextState(constB179, constB180)) | ![B: $i] : ((~less_3(B)) | (v129(constB180, B) <=> v127(constB179, B))))),
% 16.28/11.49 inference(quant_inst,[status(thm)],[])).
% 16.28/11.49 tff(25924,plain,
% 16.28/11.49 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v129(VarNext, B) <=> v127(VarCurr, B))))) | (~nextState(constB179, constB180)) | ![B: $i] : ((~less_3(B)) | (v129(constB180, B) <=> v127(constB179, B)))),
% 16.28/11.49 inference(modus_ponens,[status(thm)],[25923, 25922])).
% 16.28/11.49 tff(25925,plain,
% 16.28/11.49 (![B: $i] : ((~less_3(B)) | (v129(constB180, B) <=> v127(constB179, B)))),
% 16.28/11.49 inference(unit_resolution,[status(thm)],[25924, 24511, 5156])).
% 16.28/11.49 tff(25926,plain,
% 16.28/11.49 (((~![B: $i] : ((~less_3(B)) | (v129(constB180, B) <=> v127(constB179, B)))) | ((~less_3(bitIndex2)) | (v129(constB180, bitIndex2) <=> v127(constB179, bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v129(constB180, B) <=> v127(constB179, B)))) | (~less_3(bitIndex2)) | (v129(constB180, bitIndex2) <=> v127(constB179, bitIndex2)))),
% 16.28/11.49 inference(rewrite,[status(thm)],[])).
% 16.28/11.49 tff(25927,plain,
% 16.28/11.49 ((~![B: $i] : ((~less_3(B)) | (v129(constB180, B) <=> v127(constB179, B)))) | ((~less_3(bitIndex2)) | (v129(constB180, bitIndex2) <=> v127(constB179, bitIndex2)))),
% 16.28/11.49 inference(quant_inst,[status(thm)],[])).
% 16.28/11.49 tff(25928,plain,
% 16.28/11.49 ((~![B: $i] : ((~less_3(B)) | (v129(constB180, B) <=> v127(constB179, B)))) | (~less_3(bitIndex2)) | (v129(constB180, bitIndex2) <=> v127(constB179, bitIndex2))),
% 16.28/11.49 inference(modus_ponens,[status(thm)],[25927, 25926])).
% 16.28/11.49 tff(25929,plain,
% 16.28/11.49 (v129(constB180, bitIndex2) <=> v127(constB179, bitIndex2)),
% 16.28/11.49 inference(unit_resolution,[status(thm)],[25928, 413, 25925])).
% 16.28/11.49 tff(25930,plain,
% 16.28/11.49 (((~![VarCurr: $i] : (v111(VarCurr) | ![B: $i] : ((~less_3(B)) | (v127(VarCurr, B) <=> v130(VarCurr, B))))) | (v111(constB179) | ![B: $i] : ((~less_3(B)) | (v127(constB179, B) <=> v130(constB179, B))))) <=> ((~![VarCurr: $i] : (v111(VarCurr) | ![B: $i] : ((~less_3(B)) | (v127(VarCurr, B) <=> v130(VarCurr, B))))) | v111(constB179) | ![B: $i] : ((~less_3(B)) | (v127(constB179, B) <=> v130(constB179, B))))),
% 16.28/11.49 inference(rewrite,[status(thm)],[])).
% 16.28/11.49 tff(25931,plain,
% 16.28/11.49 ((~![VarCurr: $i] : (v111(VarCurr) | ![B: $i] : ((~less_3(B)) | (v127(VarCurr, B) <=> v130(VarCurr, B))))) | (v111(constB179) | ![B: $i] : ((~less_3(B)) | (v127(constB179, B) <=> v130(constB179, B))))),
% 16.28/11.49 inference(quant_inst,[status(thm)],[])).
% 16.28/11.49 tff(25932,plain,
% 16.28/11.49 ((~![VarCurr: $i] : (v111(VarCurr) | ![B: $i] : ((~less_3(B)) | (v127(VarCurr, B) <=> v130(VarCurr, B))))) | v111(constB179) | ![B: $i] : ((~less_3(B)) | (v127(constB179, B) <=> v130(constB179, B)))),
% 16.28/11.49 inference(modus_ponens,[status(thm)],[25931, 25930])).
% 16.28/11.49 tff(25933,plain,
% 16.28/11.49 (![B: $i] : ((~less_3(B)) | (v127(constB179, B) <=> v130(constB179, B)))),
% 16.28/11.49 inference(unit_resolution,[status(thm)],[25932, 5177, 25894])).
% 16.28/11.49 tff(25934,plain,
% 16.28/11.49 (((~![B: $i] : ((~less_3(B)) | (v127(constB179, B) <=> v130(constB179, B)))) | ((~less_3(bitIndex2)) | (v127(constB179, bitIndex2) <=> v130(constB179, bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v127(constB179, B) <=> v130(constB179, B)))) | (~less_3(bitIndex2)) | (v127(constB179, bitIndex2) <=> v130(constB179, bitIndex2)))),
% 16.28/11.50 inference(rewrite,[status(thm)],[])).
% 16.28/11.50 tff(25935,plain,
% 16.28/11.50 ((~![B: $i] : ((~less_3(B)) | (v127(constB179, B) <=> v130(constB179, B)))) | ((~less_3(bitIndex2)) | (v127(constB179, bitIndex2) <=> v130(constB179, bitIndex2)))),
% 16.28/11.50 inference(quant_inst,[status(thm)],[])).
% 16.28/11.50 tff(25936,plain,
% 16.28/11.50 ((~![B: $i] : ((~less_3(B)) | (v127(constB179, B) <=> v130(constB179, B)))) | (~less_3(bitIndex2)) | (v127(constB179, bitIndex2) <=> v130(constB179, bitIndex2))),
% 16.28/11.50 inference(modus_ponens,[status(thm)],[25935, 25934])).
% 16.28/11.50 tff(25937,plain,
% 16.28/11.50 (v127(constB179, bitIndex2) <=> v130(constB179, bitIndex2)),
% 16.28/11.50 inference(unit_resolution,[status(thm)],[25936, 413, 25933])).
% 16.28/11.50 tff(25938,plain,
% 16.28/11.50 (((~![VarCurr: $i] : ((~v121(VarCurr)) | ![B: $i] : ((~less_3(B)) | (v130(VarCurr, B) <=> b011(B))))) | ((~v121(constB179)) | ![B: $i] : ((~less_3(B)) | (v130(constB179, B) <=> b011(B))))) <=> ((~![VarCurr: $i] : ((~v121(VarCurr)) | ![B: $i] : ((~less_3(B)) | (v130(VarCurr, B) <=> b011(B))))) | (~v121(constB179)) | ![B: $i] : ((~less_3(B)) | (v130(constB179, B) <=> b011(B))))),
% 16.28/11.50 inference(rewrite,[status(thm)],[])).
% 16.28/11.50 tff(25939,plain,
% 16.28/11.50 ((~![VarCurr: $i] : ((~v121(VarCurr)) | ![B: $i] : ((~less_3(B)) | (v130(VarCurr, B) <=> b011(B))))) | ((~v121(constB179)) | ![B: $i] : ((~less_3(B)) | (v130(constB179, B) <=> b011(B))))),
% 16.28/11.50 inference(quant_inst,[status(thm)],[])).
% 16.28/11.50 tff(25940,plain,
% 16.28/11.50 ((~![VarCurr: $i] : ((~v121(VarCurr)) | ![B: $i] : ((~less_3(B)) | (v130(VarCurr, B) <=> b011(B))))) | (~v121(constB179)) | ![B: $i] : ((~less_3(B)) | (v130(constB179, B) <=> b011(B)))),
% 16.28/11.50 inference(modus_ponens,[status(thm)],[25939, 25938])).
% 16.28/11.50 tff(25941,plain,
% 16.28/11.50 ((~v121(constB179)) | ![B: $i] : ((~less_3(B)) | (v130(constB179, B) <=> b011(B)))),
% 16.28/11.50 inference(unit_resolution,[status(thm)],[25940, 5977])).
% 16.28/11.50 tff(25942,plain,
% 16.28/11.50 (![B: $i] : ((~less_3(B)) | (v130(constB179, B) <=> b011(B)))),
% 16.28/11.50 inference(unit_resolution,[status(thm)],[25941, 25865])).
% 16.28/11.50 tff(25943,plain,
% 16.28/11.50 (((~![B: $i] : ((~less_3(B)) | (v130(constB179, B) <=> b011(B)))) | ((~less_3(bitIndex2)) | (v130(constB179, bitIndex2) <=> b011(bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v130(constB179, B) <=> b011(B)))) | (~less_3(bitIndex2)) | (v130(constB179, bitIndex2) <=> b011(bitIndex2)))),
% 16.28/11.50 inference(rewrite,[status(thm)],[])).
% 16.28/11.50 tff(25944,plain,
% 16.28/11.50 ((~![B: $i] : ((~less_3(B)) | (v130(constB179, B) <=> b011(B)))) | ((~less_3(bitIndex2)) | (v130(constB179, bitIndex2) <=> b011(bitIndex2)))),
% 16.28/11.50 inference(quant_inst,[status(thm)],[])).
% 16.28/11.50 tff(25945,plain,
% 16.28/11.50 ((~![B: $i] : ((~less_3(B)) | (v130(constB179, B) <=> b011(B)))) | (~less_3(bitIndex2)) | (v130(constB179, bitIndex2) <=> b011(bitIndex2))),
% 16.28/11.50 inference(modus_ponens,[status(thm)],[25944, 25943])).
% 16.28/11.50 tff(25946,plain,
% 16.28/11.50 (v130(constB179, bitIndex2) <=> b011(bitIndex2)),
% 16.28/11.50 inference(unit_resolution,[status(thm)],[25945, 413, 25942])).
% 16.28/11.50 tff(25947,plain,
% 16.28/11.50 ((~(v130(constB179, bitIndex2) <=> b011(bitIndex2))) | (~v130(constB179, bitIndex2)) | b011(bitIndex2)),
% 16.28/11.50 inference(tautology,[status(thm)],[])).
% 16.28/11.50 tff(25948,plain,
% 16.28/11.50 ((~(v130(constB179, bitIndex2) <=> b011(bitIndex2))) | (~v130(constB179, bitIndex2))),
% 16.28/11.50 inference(unit_resolution,[status(thm)],[25947, 5989])).
% 16.28/11.50 tff(25949,plain,
% 16.28/11.50 (~v130(constB179, bitIndex2)),
% 16.28/11.50 inference(unit_resolution,[status(thm)],[25948, 25946])).
% 16.28/11.50 tff(25950,plain,
% 16.28/11.50 ((~(v127(constB179, bitIndex2) <=> v130(constB179, bitIndex2))) | (~v127(constB179, bitIndex2)) | v130(constB179, bitIndex2)),
% 16.28/11.50 inference(tautology,[status(thm)],[])).
% 16.28/11.50 tff(25951,plain,
% 16.28/11.50 (~v127(constB179, bitIndex2)),
% 16.28/11.50 inference(unit_resolution,[status(thm)],[25950, 25949, 25937])).
% 16.28/11.50 tff(25952,plain,
% 16.28/11.50 ((~(v129(constB180, bitIndex2) <=> v127(constB179, bitIndex2))) | (~v129(constB180, bitIndex2)) | v127(constB179, bitIndex2)),
% 16.28/11.50 inference(tautology,[status(thm)],[])).
% 16.28/11.50 tff(25953,plain,
% 16.28/11.50 (~v129(constB180, bitIndex2)),
% 16.28/11.50 inference(unit_resolution,[status(thm)],[25952, 25951, 25929])).
% 16.28/11.50 tff(25954,plain,
% 16.28/11.50 ((~(v90(constB180, bitIndex2) <=> v129(constB180, bitIndex2))) | (~v90(constB180, bitIndex2)) | v129(constB180, bitIndex2)),
% 16.28/11.50 inference(tautology,[status(thm)],[])).
% 16.28/11.50 tff(25955,plain,
% 16.28/11.50 (~v90(constB180, bitIndex2)),
% 16.28/11.50 inference(unit_resolution,[status(thm)],[25954, 25953, 25921])).
% 16.28/11.50 tff(25956,plain,
% 16.28/11.50 ((~(v90(constB181, bitIndex2) <=> v90(constB180, bitIndex2))) | (~v90(constB181, bitIndex2)) | v90(constB180, bitIndex2)),
% 16.28/11.50 inference(tautology,[status(thm)],[])).
% 16.28/11.50 tff(25957,plain,
% 16.28/11.50 (~v90(constB181, bitIndex2)),
% 16.28/11.50 inference(unit_resolution,[status(thm)],[25956, 25955, 24508])).
% 16.28/11.50 tff(25958,plain,
% 16.28/11.50 (((~![B: $i] : ((~less_3(B)) | (v90(constB181, B) <=> v90(constB180, B)))) | ((~less_3(bitIndex0)) | (v90(constB181, bitIndex0) <=> v90(constB180, bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v90(constB181, B) <=> v90(constB180, B)))) | (~less_3(bitIndex0)) | (v90(constB181, bitIndex0) <=> v90(constB180, bitIndex0)))),
% 16.28/11.50 inference(rewrite,[status(thm)],[])).
% 16.28/11.50 tff(25959,plain,
% 16.28/11.50 ((~![B: $i] : ((~less_3(B)) | (v90(constB181, B) <=> v90(constB180, B)))) | ((~less_3(bitIndex0)) | (v90(constB181, bitIndex0) <=> v90(constB180, bitIndex0)))),
% 16.28/11.50 inference(quant_inst,[status(thm)],[])).
% 16.28/11.50 tff(25960,plain,
% 16.28/11.50 ((~![B: $i] : ((~less_3(B)) | (v90(constB181, B) <=> v90(constB180, B)))) | (~less_3(bitIndex0)) | (v90(constB181, bitIndex0) <=> v90(constB180, bitIndex0))),
% 16.28/11.50 inference(modus_ponens,[status(thm)],[25959, 25958])).
% 16.28/11.50 tff(25961,plain,
% 16.28/11.50 (v90(constB181, bitIndex0) <=> v90(constB180, bitIndex0)),
% 16.28/11.50 inference(unit_resolution,[status(thm)],[25960, 5004, 24504])).
% 16.28/11.50 tff(25962,plain,
% 16.28/11.50 (((~![B: $i] : ((~less_3(B)) | (v90(constB180, B) <=> v129(constB180, B)))) | ((~less_3(bitIndex0)) | (v90(constB180, bitIndex0) <=> v129(constB180, bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v90(constB180, B) <=> v129(constB180, B)))) | (~less_3(bitIndex0)) | (v90(constB180, bitIndex0) <=> v129(constB180, bitIndex0)))),
% 16.28/11.50 inference(rewrite,[status(thm)],[])).
% 16.28/11.50 tff(25963,plain,
% 16.28/11.50 ((~![B: $i] : ((~less_3(B)) | (v90(constB180, B) <=> v129(constB180, B)))) | ((~less_3(bitIndex0)) | (v90(constB180, bitIndex0) <=> v129(constB180, bitIndex0)))),
% 16.28/11.50 inference(quant_inst,[status(thm)],[])).
% 16.28/11.50 tff(25964,plain,
% 16.28/11.50 ((~![B: $i] : ((~less_3(B)) | (v90(constB180, B) <=> v129(constB180, B)))) | (~less_3(bitIndex0)) | (v90(constB180, bitIndex0) <=> v129(constB180, bitIndex0))),
% 16.28/11.50 inference(modus_ponens,[status(thm)],[25963, 25962])).
% 16.28/11.50 tff(25965,plain,
% 16.28/11.50 (v90(constB180, bitIndex0) <=> v129(constB180, bitIndex0)),
% 16.28/11.50 inference(unit_resolution,[status(thm)],[25964, 5004, 25917])).
% 16.28/11.50 tff(25966,plain,
% 16.28/11.50 (((~![B: $i] : ((~less_3(B)) | (v129(constB180, B) <=> v127(constB179, B)))) | ((~less_3(bitIndex0)) | (v129(constB180, bitIndex0) <=> v127(constB179, bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v129(constB180, B) <=> v127(constB179, B)))) | (~less_3(bitIndex0)) | (v129(constB180, bitIndex0) <=> v127(constB179, bitIndex0)))),
% 16.28/11.50 inference(rewrite,[status(thm)],[])).
% 16.28/11.50 tff(25967,plain,
% 16.28/11.50 ((~![B: $i] : ((~less_3(B)) | (v129(constB180, B) <=> v127(constB179, B)))) | ((~less_3(bitIndex0)) | (v129(constB180, bitIndex0) <=> v127(constB179, bitIndex0)))),
% 16.28/11.50 inference(quant_inst,[status(thm)],[])).
% 16.28/11.50 tff(25968,plain,
% 16.28/11.50 ((~![B: $i] : ((~less_3(B)) | (v129(constB180, B) <=> v127(constB179, B)))) | (~less_3(bitIndex0)) | (v129(constB180, bitIndex0) <=> v127(constB179, bitIndex0))),
% 16.28/11.50 inference(modus_ponens,[status(thm)],[25967, 25966])).
% 16.28/11.50 tff(25969,plain,
% 16.28/11.50 (v129(constB180, bitIndex0) <=> v127(constB179, bitIndex0)),
% 16.28/11.50 inference(unit_resolution,[status(thm)],[25968, 5004, 25925])).
% 16.28/11.50 tff(25970,plain,
% 16.28/11.50 (((~![B: $i] : ((~less_3(B)) | (v127(constB179, B) <=> v130(constB179, B)))) | ((~less_3(bitIndex0)) | (v127(constB179, bitIndex0) <=> v130(constB179, bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v127(constB179, B) <=> v130(constB179, B)))) | (~less_3(bitIndex0)) | (v127(constB179, bitIndex0) <=> v130(constB179, bitIndex0)))),
% 16.28/11.50 inference(rewrite,[status(thm)],[])).
% 16.28/11.50 tff(25971,plain,
% 16.28/11.50 ((~![B: $i] : ((~less_3(B)) | (v127(constB179, B) <=> v130(constB179, B)))) | ((~less_3(bitIndex0)) | (v127(constB179, bitIndex0) <=> v130(constB179, bitIndex0)))),
% 16.28/11.50 inference(quant_inst,[status(thm)],[])).
% 16.28/11.50 tff(25972,plain,
% 16.28/11.50 ((~![B: $i] : ((~less_3(B)) | (v127(constB179, B) <=> v130(constB179, B)))) | (~less_3(bitIndex0)) | (v127(constB179, bitIndex0) <=> v130(constB179, bitIndex0))),
% 16.28/11.50 inference(modus_ponens,[status(thm)],[25971, 25970])).
% 16.28/11.50 tff(25973,plain,
% 16.28/11.50 (v127(constB179, bitIndex0) <=> v130(constB179, bitIndex0)),
% 16.28/11.50 inference(unit_resolution,[status(thm)],[25972, 5004, 25933])).
% 16.28/11.50 tff(25974,plain,
% 16.28/11.50 (((~![B: $i] : ((~less_3(B)) | (v130(constB179, B) <=> b011(B)))) | ((~less_3(bitIndex0)) | (v130(constB179, bitIndex0) <=> b011(bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v130(constB179, B) <=> b011(B)))) | (~less_3(bitIndex0)) | (v130(constB179, bitIndex0) <=> b011(bitIndex0)))),
% 16.28/11.50 inference(rewrite,[status(thm)],[])).
% 16.28/11.50 tff(25975,plain,
% 16.28/11.50 ((~![B: $i] : ((~less_3(B)) | (v130(constB179, B) <=> b011(B)))) | ((~less_3(bitIndex0)) | (v130(constB179, bitIndex0) <=> b011(bitIndex0)))),
% 16.28/11.50 inference(quant_inst,[status(thm)],[])).
% 16.28/11.50 tff(25976,plain,
% 16.28/11.50 ((~![B: $i] : ((~less_3(B)) | (v130(constB179, B) <=> b011(B)))) | (~less_3(bitIndex0)) | (v130(constB179, bitIndex0) <=> b011(bitIndex0))),
% 16.28/11.50 inference(modus_ponens,[status(thm)],[25975, 25974])).
% 16.28/11.50 tff(25977,plain,
% 16.28/11.50 (v130(constB179, bitIndex0) <=> b011(bitIndex0)),
% 16.28/11.50 inference(unit_resolution,[status(thm)],[25976, 5004, 25942])).
% 16.28/11.50 tff(25978,plain,
% 16.28/11.50 ((~(v130(constB179, bitIndex0) <=> b011(bitIndex0))) | v130(constB179, bitIndex0) | (~b011(bitIndex0))),
% 16.28/11.50 inference(tautology,[status(thm)],[])).
% 16.28/11.50 tff(25979,plain,
% 16.28/11.50 ((~(v130(constB179, bitIndex0) <=> b011(bitIndex0))) | v130(constB179, bitIndex0)),
% 16.28/11.50 inference(unit_resolution,[status(thm)],[25978, 6023])).
% 16.28/11.50 tff(25980,plain,
% 16.28/11.50 (v130(constB179, bitIndex0)),
% 16.28/11.50 inference(unit_resolution,[status(thm)],[25979, 25977])).
% 16.28/11.50 tff(25981,plain,
% 16.28/11.50 ((~(v127(constB179, bitIndex0) <=> v130(constB179, bitIndex0))) | v127(constB179, bitIndex0) | (~v130(constB179, bitIndex0))),
% 16.28/11.50 inference(tautology,[status(thm)],[])).
% 16.28/11.50 tff(25982,plain,
% 16.28/11.50 (v127(constB179, bitIndex0)),
% 16.28/11.50 inference(unit_resolution,[status(thm)],[25981, 25980, 25973])).
% 16.28/11.50 tff(25983,plain,
% 16.28/11.50 ((~(v129(constB180, bitIndex0) <=> v127(constB179, bitIndex0))) | v129(constB180, bitIndex0) | (~v127(constB179, bitIndex0))),
% 16.28/11.50 inference(tautology,[status(thm)],[])).
% 16.28/11.50 tff(25984,plain,
% 16.28/11.50 (v129(constB180, bitIndex0)),
% 16.28/11.50 inference(unit_resolution,[status(thm)],[25983, 25982, 25969])).
% 16.28/11.50 tff(25985,plain,
% 16.28/11.50 ((~(v90(constB180, bitIndex0) <=> v129(constB180, bitIndex0))) | v90(constB180, bitIndex0) | (~v129(constB180, bitIndex0))),
% 16.28/11.50 inference(tautology,[status(thm)],[])).
% 16.28/11.50 tff(25986,plain,
% 16.28/11.50 (v90(constB180, bitIndex0)),
% 16.28/11.50 inference(unit_resolution,[status(thm)],[25985, 25984, 25965])).
% 16.28/11.50 tff(25987,plain,
% 16.28/11.50 ((~(v90(constB181, bitIndex0) <=> v90(constB180, bitIndex0))) | v90(constB181, bitIndex0) | (~v90(constB180, bitIndex0))),
% 16.28/11.50 inference(tautology,[status(thm)],[])).
% 16.28/11.50 tff(25988,plain,
% 16.28/11.50 (v90(constB181, bitIndex0)),
% 16.28/11.50 inference(unit_resolution,[status(thm)],[25987, 25986, 25961])).
% 16.28/11.50 tff(25989,plain,
% 16.28/11.50 (((~![B: $i] : ((~less_3(B)) | (v90(constB181, B) <=> v90(constB180, B)))) | ((~less_3(bitIndex1)) | (v90(constB181, bitIndex1) <=> v90(constB180, bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v90(constB181, B) <=> v90(constB180, B)))) | (~less_3(bitIndex1)) | (v90(constB181, bitIndex1) <=> v90(constB180, bitIndex1)))),
% 16.28/11.50 inference(rewrite,[status(thm)],[])).
% 16.28/11.50 tff(25990,plain,
% 16.28/11.50 ((~![B: $i] : ((~less_3(B)) | (v90(constB181, B) <=> v90(constB180, B)))) | ((~less_3(bitIndex1)) | (v90(constB181, bitIndex1) <=> v90(constB180, bitIndex1)))),
% 16.28/11.50 inference(quant_inst,[status(thm)],[])).
% 16.28/11.50 tff(25991,plain,
% 16.28/11.50 ((~![B: $i] : ((~less_3(B)) | (v90(constB181, B) <=> v90(constB180, B)))) | (~less_3(bitIndex1)) | (v90(constB181, bitIndex1) <=> v90(constB180, bitIndex1))),
% 16.28/11.50 inference(modus_ponens,[status(thm)],[25990, 25989])).
% 16.28/11.50 tff(25992,plain,
% 16.28/11.50 (v90(constB181, bitIndex1) <=> v90(constB180, bitIndex1)),
% 16.28/11.50 inference(unit_resolution,[status(thm)],[25991, 5017, 24504])).
% 16.28/11.50 tff(25993,plain,
% 16.28/11.50 (((~![B: $i] : ((~less_3(B)) | (v90(constB180, B) <=> v129(constB180, B)))) | ((~less_3(bitIndex1)) | (v90(constB180, bitIndex1) <=> v129(constB180, bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v90(constB180, B) <=> v129(constB180, B)))) | (~less_3(bitIndex1)) | (v90(constB180, bitIndex1) <=> v129(constB180, bitIndex1)))),
% 16.28/11.50 inference(rewrite,[status(thm)],[])).
% 16.28/11.50 tff(25994,plain,
% 16.28/11.50 ((~![B: $i] : ((~less_3(B)) | (v90(constB180, B) <=> v129(constB180, B)))) | ((~less_3(bitIndex1)) | (v90(constB180, bitIndex1) <=> v129(constB180, bitIndex1)))),
% 16.28/11.50 inference(quant_inst,[status(thm)],[])).
% 16.28/11.50 tff(25995,plain,
% 16.28/11.50 ((~![B: $i] : ((~less_3(B)) | (v90(constB180, B) <=> v129(constB180, B)))) | (~less_3(bitIndex1)) | (v90(constB180, bitIndex1) <=> v129(constB180, bitIndex1))),
% 16.28/11.50 inference(modus_ponens,[status(thm)],[25994, 25993])).
% 16.28/11.50 tff(25996,plain,
% 16.28/11.50 (v90(constB180, bitIndex1) <=> v129(constB180, bitIndex1)),
% 16.28/11.50 inference(unit_resolution,[status(thm)],[25995, 5017, 25917])).
% 16.28/11.50 tff(25997,plain,
% 16.28/11.50 (((~![B: $i] : ((~less_3(B)) | (v129(constB180, B) <=> v127(constB179, B)))) | ((~less_3(bitIndex1)) | (v129(constB180, bitIndex1) <=> v127(constB179, bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v129(constB180, B) <=> v127(constB179, B)))) | (~less_3(bitIndex1)) | (v129(constB180, bitIndex1) <=> v127(constB179, bitIndex1)))),
% 16.28/11.50 inference(rewrite,[status(thm)],[])).
% 16.28/11.50 tff(25998,plain,
% 16.28/11.50 ((~![B: $i] : ((~less_3(B)) | (v129(constB180, B) <=> v127(constB179, B)))) | ((~less_3(bitIndex1)) | (v129(constB180, bitIndex1) <=> v127(constB179, bitIndex1)))),
% 16.28/11.50 inference(quant_inst,[status(thm)],[])).
% 16.28/11.50 tff(25999,plain,
% 16.28/11.50 ((~![B: $i] : ((~less_3(B)) | (v129(constB180, B) <=> v127(constB179, B)))) | (~less_3(bitIndex1)) | (v129(constB180, bitIndex1) <=> v127(constB179, bitIndex1))),
% 16.28/11.50 inference(modus_ponens,[status(thm)],[25998, 25997])).
% 16.28/11.50 tff(26000,plain,
% 16.28/11.50 (v129(constB180, bitIndex1) <=> v127(constB179, bitIndex1)),
% 16.28/11.50 inference(unit_resolution,[status(thm)],[25999, 5017, 25925])).
% 16.28/11.50 tff(26001,plain,
% 16.28/11.50 (((~![B: $i] : ((~less_3(B)) | (v127(constB179, B) <=> v130(constB179, B)))) | ((~less_3(bitIndex1)) | (v127(constB179, bitIndex1) <=> v130(constB179, bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v127(constB179, B) <=> v130(constB179, B)))) | (~less_3(bitIndex1)) | (v127(constB179, bitIndex1) <=> v130(constB179, bitIndex1)))),
% 16.28/11.50 inference(rewrite,[status(thm)],[])).
% 16.28/11.50 tff(26002,plain,
% 16.28/11.50 ((~![B: $i] : ((~less_3(B)) | (v127(constB179, B) <=> v130(constB179, B)))) | ((~less_3(bitIndex1)) | (v127(constB179, bitIndex1) <=> v130(constB179, bitIndex1)))),
% 16.28/11.50 inference(quant_inst,[status(thm)],[])).
% 16.28/11.50 tff(26003,plain,
% 16.28/11.50 ((~![B: $i] : ((~less_3(B)) | (v127(constB179, B) <=> v130(constB179, B)))) | (~less_3(bitIndex1)) | (v127(constB179, bitIndex1) <=> v130(constB179, bitIndex1))),
% 16.28/11.50 inference(modus_ponens,[status(thm)],[26002, 26001])).
% 16.28/11.50 tff(26004,plain,
% 16.28/11.50 (v127(constB179, bitIndex1) <=> v130(constB179, bitIndex1)),
% 16.28/11.50 inference(unit_resolution,[status(thm)],[26003, 5017, 25933])).
% 16.28/11.50 tff(26005,plain,
% 16.28/11.50 (((~![B: $i] : ((~less_3(B)) | (v130(constB179, B) <=> b011(B)))) | ((~less_3(bitIndex1)) | (v130(constB179, bitIndex1) <=> b011(bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v130(constB179, B) <=> b011(B)))) | (~less_3(bitIndex1)) | (v130(constB179, bitIndex1) <=> b011(bitIndex1)))),
% 16.28/11.50 inference(rewrite,[status(thm)],[])).
% 16.28/11.50 tff(26006,plain,
% 16.28/11.50 ((~![B: $i] : ((~less_3(B)) | (v130(constB179, B) <=> b011(B)))) | ((~less_3(bitIndex1)) | (v130(constB179, bitIndex1) <=> b011(bitIndex1)))),
% 16.28/11.50 inference(quant_inst,[status(thm)],[])).
% 16.28/11.50 tff(26007,plain,
% 16.28/11.50 ((~![B: $i] : ((~less_3(B)) | (v130(constB179, B) <=> b011(B)))) | (~less_3(bitIndex1)) | (v130(constB179, bitIndex1) <=> b011(bitIndex1))),
% 16.28/11.50 inference(modus_ponens,[status(thm)],[26006, 26005])).
% 16.28/11.50 tff(26008,plain,
% 16.28/11.50 (v130(constB179, bitIndex1) <=> b011(bitIndex1)),
% 16.28/11.51 inference(unit_resolution,[status(thm)],[26007, 5017, 25942])).
% 16.28/11.51 tff(26009,plain,
% 16.28/11.51 ((~(v130(constB179, bitIndex1) <=> b011(bitIndex1))) | v130(constB179, bitIndex1) | (~b011(bitIndex1))),
% 16.28/11.51 inference(tautology,[status(thm)],[])).
% 16.28/11.51 tff(26010,plain,
% 16.28/11.51 ((~(v130(constB179, bitIndex1) <=> b011(bitIndex1))) | v130(constB179, bitIndex1)),
% 16.28/11.51 inference(unit_resolution,[status(thm)],[26009, 6057])).
% 16.28/11.51 tff(26011,plain,
% 16.28/11.51 (v130(constB179, bitIndex1)),
% 16.28/11.51 inference(unit_resolution,[status(thm)],[26010, 26008])).
% 16.28/11.51 tff(26012,plain,
% 16.28/11.51 ((~(v127(constB179, bitIndex1) <=> v130(constB179, bitIndex1))) | v127(constB179, bitIndex1) | (~v130(constB179, bitIndex1))),
% 16.28/11.51 inference(tautology,[status(thm)],[])).
% 16.28/11.51 tff(26013,plain,
% 16.28/11.51 (v127(constB179, bitIndex1)),
% 16.28/11.51 inference(unit_resolution,[status(thm)],[26012, 26011, 26004])).
% 16.28/11.51 tff(26014,plain,
% 16.28/11.51 ((~(v129(constB180, bitIndex1) <=> v127(constB179, bitIndex1))) | v129(constB180, bitIndex1) | (~v127(constB179, bitIndex1))),
% 16.28/11.51 inference(tautology,[status(thm)],[])).
% 16.28/11.51 tff(26015,plain,
% 16.28/11.51 (v129(constB180, bitIndex1)),
% 16.28/11.51 inference(unit_resolution,[status(thm)],[26014, 26013, 26000])).
% 16.28/11.51 tff(26016,plain,
% 16.28/11.51 ((~(v90(constB180, bitIndex1) <=> v129(constB180, bitIndex1))) | v90(constB180, bitIndex1) | (~v129(constB180, bitIndex1))),
% 16.28/11.51 inference(tautology,[status(thm)],[])).
% 16.28/11.51 tff(26017,plain,
% 16.28/11.51 (v90(constB180, bitIndex1)),
% 16.28/11.51 inference(unit_resolution,[status(thm)],[26016, 26015, 25996])).
% 16.28/11.51 tff(26018,plain,
% 16.28/11.51 ((~(v90(constB181, bitIndex1) <=> v90(constB180, bitIndex1))) | v90(constB181, bitIndex1) | (~v90(constB180, bitIndex1))),
% 16.28/11.51 inference(tautology,[status(thm)],[])).
% 16.28/11.51 tff(26019,plain,
% 16.28/11.51 (v90(constB181, bitIndex1)),
% 16.28/11.51 inference(unit_resolution,[status(thm)],[26018, 26017, 25992])).
% 16.28/11.51 tff(26020,plain,
% 16.28/11.51 ((~(v90(constB181, bitIndex2) | (~v90(constB181, bitIndex1)) | (~v90(constB181, bitIndex0)))) | v90(constB181, bitIndex2) | (~v90(constB181, bitIndex1)) | (~v90(constB181, bitIndex0))),
% 16.28/11.51 inference(tautology,[status(thm)],[])).
% 16.28/11.51 tff(26021,plain,
% 16.28/11.51 (~(v90(constB181, bitIndex2) | (~v90(constB181, bitIndex1)) | (~v90(constB181, bitIndex0)))),
% 16.28/11.51 inference(unit_resolution,[status(thm)],[26020, 26019, 25988, 25957])).
% 16.28/11.51 tff(26022,plain,
% 16.28/11.51 ((~(v122(constB181) <=> (~(v90(constB181, bitIndex2) | (~v90(constB181, bitIndex1)) | (~v90(constB181, bitIndex0)))))) | v122(constB181) | (v90(constB181, bitIndex2) | (~v90(constB181, bitIndex1)) | (~v90(constB181, bitIndex0)))),
% 16.28/11.51 inference(tautology,[status(thm)],[])).
% 16.28/11.51 tff(26023,plain,
% 16.28/11.51 (v122(constB181)),
% 16.28/11.51 inference(unit_resolution,[status(thm)],[26022, 26021, 24476])).
% 16.28/11.51 tff(26024,plain,
% 16.28/11.51 ((v117(constB181) | v122(constB181)) | (~v122(constB181))),
% 16.28/11.51 inference(tautology,[status(thm)],[])).
% 16.28/11.51 tff(26025,plain,
% 16.28/11.51 (v117(constB181) | v122(constB181)),
% 16.28/11.51 inference(unit_resolution,[status(thm)],[26024, 26023])).
% 16.28/11.51 tff(26026,plain,
% 16.28/11.51 ((~(v116(constB181) <=> (v117(constB181) | v122(constB181)))) | v116(constB181) | (~(v117(constB181) | v122(constB181)))),
% 16.28/11.51 inference(tautology,[status(thm)],[])).
% 16.28/11.51 tff(26027,plain,
% 16.28/11.51 (v116(constB181)),
% 16.28/11.51 inference(unit_resolution,[status(thm)],[26026, 26025, 24469])).
% 16.28/11.51 tff(26028,plain,
% 16.28/11.51 ((v116(constB181) | v123(constB181)) | (~v116(constB181))),
% 16.28/11.51 inference(tautology,[status(thm)],[])).
% 16.28/11.51 tff(26029,plain,
% 16.28/11.51 (v116(constB181) | v123(constB181)),
% 16.28/11.51 inference(unit_resolution,[status(thm)],[26028, 26027])).
% 16.28/11.51 tff(26030,plain,
% 16.28/11.51 ((~(v115(constB181) <=> (v116(constB181) | v123(constB181)))) | v115(constB181) | (~(v116(constB181) | v123(constB181)))),
% 16.28/11.51 inference(tautology,[status(thm)],[])).
% 16.28/11.51 tff(26031,plain,
% 16.28/11.51 (v115(constB181)),
% 16.28/11.51 inference(unit_resolution,[status(thm)],[26030, 26029, 24467])).
% 16.28/11.51 tff(26032,plain,
% 16.28/11.51 ((v115(constB181) | v124(constB181)) | (~v115(constB181))),
% 16.28/11.51 inference(tautology,[status(thm)],[])).
% 16.28/11.51 tff(26033,plain,
% 16.28/11.51 (v115(constB181) | v124(constB181)),
% 16.28/11.51 inference(unit_resolution,[status(thm)],[26032, 26031])).
% 16.28/11.51 tff(26034,plain,
% 16.28/11.51 ((~(v114(constB181) <=> (v115(constB181) | v124(constB181)))) | v114(constB181) | (~(v115(constB181) | v124(constB181)))),
% 16.28/11.51 inference(tautology,[status(thm)],[])).
% 16.28/11.51 tff(26035,plain,
% 16.28/11.51 (v114(constB181)),
% 16.28/11.51 inference(unit_resolution,[status(thm)],[26034, 26033, 24465])).
% 16.28/11.51 tff(26036,plain,
% 16.28/11.51 ((v114(constB181) | v125(constB181)) | (~v114(constB181))),
% 16.28/11.51 inference(tautology,[status(thm)],[])).
% 16.28/11.51 tff(26037,plain,
% 16.28/11.51 (v114(constB181) | v125(constB181)),
% 16.28/11.51 inference(unit_resolution,[status(thm)],[26036, 26035])).
% 16.28/11.51 tff(26038,plain,
% 16.28/11.51 ((~(v113(constB181) <=> (v114(constB181) | v125(constB181)))) | v113(constB181) | (~(v114(constB181) | v125(constB181)))),
% 16.28/11.51 inference(tautology,[status(thm)],[])).
% 16.28/11.51 tff(26039,plain,
% 16.28/11.51 (v113(constB181)),
% 16.28/11.51 inference(unit_resolution,[status(thm)],[26038, 26037, 24463])).
% 16.28/11.51 tff(26040,plain,
% 16.28/11.51 ((~![VarCurr: $i] : ((~v126(VarCurr)) <=> v111(VarCurr))) | ((~v126(constB181)) <=> v111(constB181))),
% 16.28/11.51 inference(quant_inst,[status(thm)],[])).
% 16.28/11.51 tff(26041,plain,
% 16.28/11.51 ((~v126(constB181)) <=> v111(constB181)),
% 16.28/11.51 inference(unit_resolution,[status(thm)],[26040, 5074])).
% 16.28/11.51 tff(26042,plain,
% 16.28/11.51 ((~![VarCurr: $i] : (v111(VarCurr) <=> v26(VarCurr))) | (v111(constB181) <=> v26(constB181))),
% 16.28/11.51 inference(quant_inst,[status(thm)],[])).
% 16.28/11.51 tff(26043,plain,
% 16.28/11.51 (v111(constB181) <=> v26(constB181)),
% 16.28/11.51 inference(unit_resolution,[status(thm)],[26042, 5086])).
% 16.28/11.51 tff(26044,plain,
% 16.28/11.51 ((~![VarCurr: $i] : (~v26(VarCurr))) | (~v26(constB181))),
% 16.28/11.51 inference(quant_inst,[status(thm)],[])).
% 16.28/11.51 tff(26045,plain,
% 16.28/11.51 (~v26(constB181)),
% 16.28/11.51 inference(unit_resolution,[status(thm)],[26044, 5098])).
% 16.28/11.51 tff(26046,plain,
% 16.28/11.51 ((~(v111(constB181) <=> v26(constB181))) | (~v111(constB181)) | v26(constB181)),
% 16.28/11.51 inference(tautology,[status(thm)],[])).
% 16.28/11.51 tff(26047,plain,
% 16.28/11.51 ((~(v111(constB181) <=> v26(constB181))) | (~v111(constB181))),
% 16.28/11.51 inference(unit_resolution,[status(thm)],[26046, 26045])).
% 16.28/11.51 tff(26048,plain,
% 16.28/11.51 (~v111(constB181)),
% 16.28/11.51 inference(unit_resolution,[status(thm)],[26047, 26043])).
% 16.28/11.51 tff(26049,plain,
% 16.28/11.51 ((~((~v126(constB181)) <=> v111(constB181))) | v126(constB181) | v111(constB181)),
% 16.28/11.51 inference(tautology,[status(thm)],[])).
% 16.28/11.51 tff(26050,plain,
% 16.28/11.51 ((~((~v126(constB181)) <=> v111(constB181))) | v126(constB181)),
% 16.28/11.51 inference(unit_resolution,[status(thm)],[26049, 26048])).
% 16.28/11.51 tff(26051,plain,
% 16.28/11.51 (v126(constB181)),
% 16.28/11.51 inference(unit_resolution,[status(thm)],[26050, 26041])).
% 16.28/11.51 tff(26052,plain,
% 16.28/11.51 ((~((~v113(constB181)) | (~v126(constB181)))) | (~v113(constB181)) | (~v126(constB181))),
% 16.28/11.51 inference(tautology,[status(thm)],[])).
% 16.28/11.51 tff(26053,plain,
% 16.28/11.51 ((~((~v113(constB181)) | (~v126(constB181)))) | (~v113(constB181))),
% 16.28/11.51 inference(unit_resolution,[status(thm)],[26052, 26051])).
% 16.28/11.51 tff(26054,plain,
% 16.28/11.51 (~((~v113(constB181)) | (~v126(constB181)))),
% 16.28/11.51 inference(unit_resolution,[status(thm)],[26053, 26039])).
% 16.28/11.51 tff(26055,plain,
% 16.28/11.51 ((~(v112(constB181) <=> (~((~v113(constB181)) | (~v126(constB181)))))) | v112(constB181) | ((~v113(constB181)) | (~v126(constB181)))),
% 16.28/11.51 inference(tautology,[status(thm)],[])).
% 16.28/11.51 tff(26056,plain,
% 16.28/11.51 (v112(constB181)),
% 16.28/11.51 inference(unit_resolution,[status(thm)],[26055, 26054, 24461])).
% 16.28/11.51 tff(26057,plain,
% 16.28/11.51 ((v111(constB181) | v112(constB181)) | (~v112(constB181))),
% 16.28/11.51 inference(tautology,[status(thm)],[])).
% 16.28/11.51 tff(26058,plain,
% 16.28/11.51 (v111(constB181) | v112(constB181)),
% 16.28/11.51 inference(unit_resolution,[status(thm)],[26057, 26056])).
% 16.28/11.51 tff(26059,plain,
% 16.28/11.51 ((~(v108(constB181) <=> (v111(constB181) | v112(constB181)))) | v108(constB181) | (~(v111(constB181) | v112(constB181)))),
% 16.28/11.51 inference(tautology,[status(thm)],[])).
% 16.28/11.51 tff(26060,plain,
% 16.28/11.51 (v108(constB181)),
% 16.28/11.51 inference(unit_resolution,[status(thm)],[26059, 26058, 24459])).
% 16.28/11.51 tff(26061,plain,
% 16.28/11.51 ((~(v110(constB182) <=> v108(constB181))) | v110(constB182) | (~v108(constB181))),
% 16.28/11.51 inference(tautology,[status(thm)],[])).
% 16.28/11.51 tff(26062,plain,
% 16.28/11.51 (v110(constB182)),
% 16.28/11.51 inference(unit_resolution,[status(thm)],[26061, 26060, 24457])).
% 16.28/11.51 tff(26063,plain,
% 16.28/11.51 ((~((~v101(constB182)) | (~v110(constB182)))) | (~v101(constB182)) | (~v110(constB182))),
% 16.28/11.51 inference(tautology,[status(thm)],[])).
% 16.28/11.51 tff(26064,plain,
% 16.28/11.51 (~((~v101(constB182)) | (~v110(constB182)))),
% 16.28/11.51 inference(unit_resolution,[status(thm)],[26063, 26062, 24453])).
% 16.31/11.51 tff(26065,plain,
% 16.31/11.51 ((~(v100(constB182) <=> (~((~v101(constB182)) | (~v110(constB182)))))) | v100(constB182) | ((~v101(constB182)) | (~v110(constB182)))),
% 16.31/11.51 inference(tautology,[status(thm)],[])).
% 16.31/11.51 tff(26066,plain,
% 16.31/11.51 (v100(constB182)),
% 16.31/11.51 inference(unit_resolution,[status(thm)],[26065, 26064, 24422])).
% 16.31/11.51 tff(26067,plain,
% 16.31/11.51 (((~![VarNext: $i] : ((~v100(VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v129(VarNext, B))))) | ((~v100(constB182)) | ![B: $i] : ((~less_3(B)) | (v90(constB182, B) <=> v129(constB182, B))))) <=> ((~![VarNext: $i] : ((~v100(VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v129(VarNext, B))))) | (~v100(constB182)) | ![B: $i] : ((~less_3(B)) | (v90(constB182, B) <=> v129(constB182, B))))),
% 16.31/11.51 inference(rewrite,[status(thm)],[])).
% 16.31/11.51 tff(26068,plain,
% 16.31/11.51 ((~![VarNext: $i] : ((~v100(VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v129(VarNext, B))))) | ((~v100(constB182)) | ![B: $i] : ((~less_3(B)) | (v90(constB182, B) <=> v129(constB182, B))))),
% 16.31/11.51 inference(quant_inst,[status(thm)],[])).
% 16.31/11.51 tff(26069,plain,
% 16.31/11.51 ((~![VarNext: $i] : ((~v100(VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v129(VarNext, B))))) | (~v100(constB182)) | ![B: $i] : ((~less_3(B)) | (v90(constB182, B) <=> v129(constB182, B)))),
% 16.31/11.51 inference(modus_ponens,[status(thm)],[26068, 26067])).
% 16.31/11.51 tff(26070,plain,
% 16.31/11.51 ((~v100(constB182)) | ![B: $i] : ((~less_3(B)) | (v90(constB182, B) <=> v129(constB182, B)))),
% 16.31/11.51 inference(unit_resolution,[status(thm)],[26069, 5134])).
% 16.31/11.51 tff(26071,plain,
% 16.31/11.51 (![B: $i] : ((~less_3(B)) | (v90(constB182, B) <=> v129(constB182, B)))),
% 16.31/11.51 inference(unit_resolution,[status(thm)],[26070, 26066])).
% 16.31/11.51 tff(26072,plain,
% 16.31/11.51 (((~![B: $i] : ((~less_3(B)) | (v90(constB182, B) <=> v129(constB182, B)))) | ((~less_3(bitIndex2)) | (v90(constB182, bitIndex2) <=> v129(constB182, bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v90(constB182, B) <=> v129(constB182, B)))) | (~less_3(bitIndex2)) | (v90(constB182, bitIndex2) <=> v129(constB182, bitIndex2)))),
% 16.31/11.51 inference(rewrite,[status(thm)],[])).
% 16.31/11.51 tff(26073,plain,
% 16.31/11.51 ((~![B: $i] : ((~less_3(B)) | (v90(constB182, B) <=> v129(constB182, B)))) | ((~less_3(bitIndex2)) | (v90(constB182, bitIndex2) <=> v129(constB182, bitIndex2)))),
% 16.31/11.51 inference(quant_inst,[status(thm)],[])).
% 16.31/11.51 tff(26074,plain,
% 16.31/11.51 ((~![B: $i] : ((~less_3(B)) | (v90(constB182, B) <=> v129(constB182, B)))) | (~less_3(bitIndex2)) | (v90(constB182, bitIndex2) <=> v129(constB182, bitIndex2))),
% 16.31/11.51 inference(modus_ponens,[status(thm)],[26073, 26072])).
% 16.31/11.51 tff(26075,plain,
% 16.31/11.51 (v90(constB182, bitIndex2) <=> v129(constB182, bitIndex2)),
% 16.31/11.51 inference(unit_resolution,[status(thm)],[26074, 413, 26071])).
% 16.31/11.51 tff(26076,plain,
% 16.31/11.51 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v129(VarNext, B) <=> v127(VarCurr, B))))) | ((~nextState(constB181, constB182)) | ![B: $i] : ((~less_3(B)) | (v129(constB182, B) <=> v127(constB181, B))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v129(VarNext, B) <=> v127(VarCurr, B))))) | (~nextState(constB181, constB182)) | ![B: $i] : ((~less_3(B)) | (v129(constB182, B) <=> v127(constB181, B))))),
% 16.31/11.51 inference(rewrite,[status(thm)],[])).
% 16.31/11.51 tff(26077,plain,
% 16.31/11.51 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v129(VarNext, B) <=> v127(VarCurr, B))))) | ((~nextState(constB181, constB182)) | ![B: $i] : ((~less_3(B)) | (v129(constB182, B) <=> v127(constB181, B))))),
% 16.31/11.51 inference(quant_inst,[status(thm)],[])).
% 16.31/11.51 tff(26078,plain,
% 16.31/11.51 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v129(VarNext, B) <=> v127(VarCurr, B))))) | (~nextState(constB181, constB182)) | ![B: $i] : ((~less_3(B)) | (v129(constB182, B) <=> v127(constB181, B)))),
% 16.31/11.51 inference(modus_ponens,[status(thm)],[26077, 26076])).
% 16.31/11.51 tff(26079,plain,
% 16.31/11.51 (![B: $i] : ((~less_3(B)) | (v129(constB182, B) <=> v127(constB181, B)))),
% 16.31/11.51 inference(unit_resolution,[status(thm)],[26078, 24418, 5156])).
% 16.31/11.51 tff(26080,plain,
% 16.31/11.51 (((~![B: $i] : ((~less_3(B)) | (v129(constB182, B) <=> v127(constB181, B)))) | ((~less_3(bitIndex2)) | (v129(constB182, bitIndex2) <=> v127(constB181, bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v129(constB182, B) <=> v127(constB181, B)))) | (~less_3(bitIndex2)) | (v129(constB182, bitIndex2) <=> v127(constB181, bitIndex2)))),
% 16.31/11.51 inference(rewrite,[status(thm)],[])).
% 16.31/11.51 tff(26081,plain,
% 16.31/11.51 ((~![B: $i] : ((~less_3(B)) | (v129(constB182, B) <=> v127(constB181, B)))) | ((~less_3(bitIndex2)) | (v129(constB182, bitIndex2) <=> v127(constB181, bitIndex2)))),
% 16.31/11.51 inference(quant_inst,[status(thm)],[])).
% 16.31/11.51 tff(26082,plain,
% 16.31/11.51 ((~![B: $i] : ((~less_3(B)) | (v129(constB182, B) <=> v127(constB181, B)))) | (~less_3(bitIndex2)) | (v129(constB182, bitIndex2) <=> v127(constB181, bitIndex2))),
% 16.31/11.51 inference(modus_ponens,[status(thm)],[26081, 26080])).
% 16.31/11.51 tff(26083,plain,
% 16.31/11.51 (v129(constB182, bitIndex2) <=> v127(constB181, bitIndex2)),
% 16.31/11.51 inference(unit_resolution,[status(thm)],[26082, 413, 26079])).
% 16.31/11.51 tff(26084,plain,
% 16.31/11.51 (((~![VarCurr: $i] : (v111(VarCurr) | ![B: $i] : ((~less_3(B)) | (v127(VarCurr, B) <=> v130(VarCurr, B))))) | (v111(constB181) | ![B: $i] : ((~less_3(B)) | (v127(constB181, B) <=> v130(constB181, B))))) <=> ((~![VarCurr: $i] : (v111(VarCurr) | ![B: $i] : ((~less_3(B)) | (v127(VarCurr, B) <=> v130(VarCurr, B))))) | v111(constB181) | ![B: $i] : ((~less_3(B)) | (v127(constB181, B) <=> v130(constB181, B))))),
% 16.31/11.51 inference(rewrite,[status(thm)],[])).
% 16.31/11.51 tff(26085,plain,
% 16.31/11.51 ((~![VarCurr: $i] : (v111(VarCurr) | ![B: $i] : ((~less_3(B)) | (v127(VarCurr, B) <=> v130(VarCurr, B))))) | (v111(constB181) | ![B: $i] : ((~less_3(B)) | (v127(constB181, B) <=> v130(constB181, B))))),
% 16.31/11.51 inference(quant_inst,[status(thm)],[])).
% 16.31/11.51 tff(26086,plain,
% 16.31/11.51 ((~![VarCurr: $i] : (v111(VarCurr) | ![B: $i] : ((~less_3(B)) | (v127(VarCurr, B) <=> v130(VarCurr, B))))) | v111(constB181) | ![B: $i] : ((~less_3(B)) | (v127(constB181, B) <=> v130(constB181, B)))),
% 16.31/11.51 inference(modus_ponens,[status(thm)],[26085, 26084])).
% 16.31/11.51 tff(26087,plain,
% 16.31/11.51 (![B: $i] : ((~less_3(B)) | (v127(constB181, B) <=> v130(constB181, B)))),
% 16.31/11.51 inference(unit_resolution,[status(thm)],[26086, 5177, 26048])).
% 16.31/11.51 tff(26088,plain,
% 16.31/11.51 (((~![B: $i] : ((~less_3(B)) | (v127(constB181, B) <=> v130(constB181, B)))) | ((~less_3(bitIndex2)) | (v127(constB181, bitIndex2) <=> v130(constB181, bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v127(constB181, B) <=> v130(constB181, B)))) | (~less_3(bitIndex2)) | (v127(constB181, bitIndex2) <=> v130(constB181, bitIndex2)))),
% 16.31/11.51 inference(rewrite,[status(thm)],[])).
% 16.31/11.51 tff(26089,plain,
% 16.31/11.51 ((~![B: $i] : ((~less_3(B)) | (v127(constB181, B) <=> v130(constB181, B)))) | ((~less_3(bitIndex2)) | (v127(constB181, bitIndex2) <=> v130(constB181, bitIndex2)))),
% 16.31/11.51 inference(quant_inst,[status(thm)],[])).
% 16.31/11.51 tff(26090,plain,
% 16.31/11.51 ((~![B: $i] : ((~less_3(B)) | (v127(constB181, B) <=> v130(constB181, B)))) | (~less_3(bitIndex2)) | (v127(constB181, bitIndex2) <=> v130(constB181, bitIndex2))),
% 16.31/11.51 inference(modus_ponens,[status(thm)],[26089, 26088])).
% 16.31/11.51 tff(26091,plain,
% 16.31/11.51 (v127(constB181, bitIndex2) <=> v130(constB181, bitIndex2)),
% 16.31/11.51 inference(unit_resolution,[status(thm)],[26090, 413, 26087])).
% 16.31/11.51 tff(26092,plain,
% 16.31/11.51 (((~![VarCurr: $i] : ((~v122(VarCurr)) | ![B: $i] : ((~less_3(B)) | (v130(VarCurr, B) <=> b100(B))))) | ((~v122(constB181)) | ![B: $i] : ((~less_3(B)) | (v130(constB181, B) <=> b100(B))))) <=> ((~![VarCurr: $i] : ((~v122(VarCurr)) | ![B: $i] : ((~less_3(B)) | (v130(VarCurr, B) <=> b100(B))))) | (~v122(constB181)) | ![B: $i] : ((~less_3(B)) | (v130(constB181, B) <=> b100(B))))),
% 16.31/11.51 inference(rewrite,[status(thm)],[])).
% 16.31/11.51 tff(26093,plain,
% 16.31/11.51 ((~![VarCurr: $i] : ((~v122(VarCurr)) | ![B: $i] : ((~less_3(B)) | (v130(VarCurr, B) <=> b100(B))))) | ((~v122(constB181)) | ![B: $i] : ((~less_3(B)) | (v130(constB181, B) <=> b100(B))))),
% 16.31/11.51 inference(quant_inst,[status(thm)],[])).
% 16.31/11.51 tff(26094,plain,
% 16.31/11.51 ((~![VarCurr: $i] : ((~v122(VarCurr)) | ![B: $i] : ((~less_3(B)) | (v130(VarCurr, B) <=> b100(B))))) | (~v122(constB181)) | ![B: $i] : ((~less_3(B)) | (v130(constB181, B) <=> b100(B)))),
% 16.31/11.52 inference(modus_ponens,[status(thm)],[26093, 26092])).
% 16.31/11.52 tff(26095,plain,
% 16.31/11.52 ((~v122(constB181)) | ![B: $i] : ((~less_3(B)) | (v130(constB181, B) <=> b100(B)))),
% 16.31/11.52 inference(unit_resolution,[status(thm)],[26094, 6153])).
% 16.31/11.52 tff(26096,plain,
% 16.31/11.52 (![B: $i] : ((~less_3(B)) | (v130(constB181, B) <=> b100(B)))),
% 16.31/11.52 inference(unit_resolution,[status(thm)],[26095, 26023])).
% 16.31/11.52 tff(26097,plain,
% 16.31/11.52 (((~![B: $i] : ((~less_3(B)) | (v130(constB181, B) <=> b100(B)))) | ((~less_3(bitIndex2)) | (v130(constB181, bitIndex2) <=> b100(bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v130(constB181, B) <=> b100(B)))) | (~less_3(bitIndex2)) | (v130(constB181, bitIndex2) <=> b100(bitIndex2)))),
% 16.31/11.52 inference(rewrite,[status(thm)],[])).
% 16.31/11.52 tff(26098,plain,
% 16.31/11.52 ((~![B: $i] : ((~less_3(B)) | (v130(constB181, B) <=> b100(B)))) | ((~less_3(bitIndex2)) | (v130(constB181, bitIndex2) <=> b100(bitIndex2)))),
% 16.31/11.52 inference(quant_inst,[status(thm)],[])).
% 16.31/11.52 tff(26099,plain,
% 16.31/11.52 ((~![B: $i] : ((~less_3(B)) | (v130(constB181, B) <=> b100(B)))) | (~less_3(bitIndex2)) | (v130(constB181, bitIndex2) <=> b100(bitIndex2))),
% 16.31/11.52 inference(modus_ponens,[status(thm)],[26098, 26097])).
% 16.31/11.52 tff(26100,plain,
% 16.31/11.52 (v130(constB181, bitIndex2) <=> b100(bitIndex2)),
% 16.31/11.52 inference(unit_resolution,[status(thm)],[26099, 413, 26096])).
% 16.31/11.52 tff(26101,plain,
% 16.31/11.52 ((~(v130(constB181, bitIndex2) <=> b100(bitIndex2))) | v130(constB181, bitIndex2) | (~b100(bitIndex2))),
% 16.31/11.52 inference(tautology,[status(thm)],[])).
% 16.31/11.52 tff(26102,plain,
% 16.31/11.52 ((~(v130(constB181, bitIndex2) <=> b100(bitIndex2))) | v130(constB181, bitIndex2)),
% 16.31/11.52 inference(unit_resolution,[status(thm)],[26101, 5209])).
% 16.31/11.52 tff(26103,plain,
% 16.31/11.52 (v130(constB181, bitIndex2)),
% 16.31/11.52 inference(unit_resolution,[status(thm)],[26102, 26100])).
% 16.31/11.52 tff(26104,plain,
% 16.31/11.52 ((~(v127(constB181, bitIndex2) <=> v130(constB181, bitIndex2))) | v127(constB181, bitIndex2) | (~v130(constB181, bitIndex2))),
% 16.31/11.52 inference(tautology,[status(thm)],[])).
% 16.31/11.52 tff(26105,plain,
% 16.31/11.52 (v127(constB181, bitIndex2)),
% 16.31/11.52 inference(unit_resolution,[status(thm)],[26104, 26103, 26091])).
% 16.31/11.52 tff(26106,plain,
% 16.31/11.52 ((~(v129(constB182, bitIndex2) <=> v127(constB181, bitIndex2))) | v129(constB182, bitIndex2) | (~v127(constB181, bitIndex2))),
% 16.31/11.52 inference(tautology,[status(thm)],[])).
% 16.31/11.52 tff(26107,plain,
% 16.31/11.52 (v129(constB182, bitIndex2)),
% 16.31/11.52 inference(unit_resolution,[status(thm)],[26106, 26105, 26083])).
% 16.31/11.52 tff(26108,plain,
% 16.31/11.52 ((~(v90(constB182, bitIndex2) <=> v129(constB182, bitIndex2))) | v90(constB182, bitIndex2) | (~v129(constB182, bitIndex2))),
% 16.31/11.52 inference(tautology,[status(thm)],[])).
% 16.31/11.52 tff(26109,plain,
% 16.31/11.52 (v90(constB182, bitIndex2)),
% 16.31/11.52 inference(unit_resolution,[status(thm)],[26108, 26107, 26075])).
% 16.31/11.52 tff(26110,plain,
% 16.31/11.52 ((~(v90(constB183, bitIndex2) <=> v90(constB182, bitIndex2))) | v90(constB183, bitIndex2) | (~v90(constB182, bitIndex2))),
% 16.31/11.52 inference(tautology,[status(thm)],[])).
% 16.31/11.52 tff(26111,plain,
% 16.31/11.52 (v90(constB183, bitIndex2)),
% 16.31/11.52 inference(unit_resolution,[status(thm)],[26110, 26109, 24415])).
% 16.31/11.52 tff(26112,plain,
% 16.31/11.52 (((~![B: $i] : ((~less_3(B)) | (v90(constB183, B) <=> v90(constB182, B)))) | ((~less_3(bitIndex0)) | (v90(constB183, bitIndex0) <=> v90(constB182, bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v90(constB183, B) <=> v90(constB182, B)))) | (~less_3(bitIndex0)) | (v90(constB183, bitIndex0) <=> v90(constB182, bitIndex0)))),
% 16.31/11.52 inference(rewrite,[status(thm)],[])).
% 16.31/11.52 tff(26113,plain,
% 16.31/11.52 ((~![B: $i] : ((~less_3(B)) | (v90(constB183, B) <=> v90(constB182, B)))) | ((~less_3(bitIndex0)) | (v90(constB183, bitIndex0) <=> v90(constB182, bitIndex0)))),
% 16.31/11.52 inference(quant_inst,[status(thm)],[])).
% 16.31/11.52 tff(26114,plain,
% 16.31/11.52 ((~![B: $i] : ((~less_3(B)) | (v90(constB183, B) <=> v90(constB182, B)))) | (~less_3(bitIndex0)) | (v90(constB183, bitIndex0) <=> v90(constB182, bitIndex0))),
% 16.31/11.52 inference(modus_ponens,[status(thm)],[26113, 26112])).
% 16.31/11.52 tff(26115,plain,
% 16.31/11.52 (v90(constB183, bitIndex0) <=> v90(constB182, bitIndex0)),
% 16.31/11.52 inference(unit_resolution,[status(thm)],[26114, 5004, 24411])).
% 16.31/11.52 tff(26116,plain,
% 16.31/11.52 (((~![B: $i] : ((~less_3(B)) | (v90(constB182, B) <=> v129(constB182, B)))) | ((~less_3(bitIndex0)) | (v90(constB182, bitIndex0) <=> v129(constB182, bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v90(constB182, B) <=> v129(constB182, B)))) | (~less_3(bitIndex0)) | (v90(constB182, bitIndex0) <=> v129(constB182, bitIndex0)))),
% 16.31/11.52 inference(rewrite,[status(thm)],[])).
% 16.31/11.52 tff(26117,plain,
% 16.31/11.52 ((~![B: $i] : ((~less_3(B)) | (v90(constB182, B) <=> v129(constB182, B)))) | ((~less_3(bitIndex0)) | (v90(constB182, bitIndex0) <=> v129(constB182, bitIndex0)))),
% 16.31/11.52 inference(quant_inst,[status(thm)],[])).
% 16.31/11.52 tff(26118,plain,
% 16.31/11.52 ((~![B: $i] : ((~less_3(B)) | (v90(constB182, B) <=> v129(constB182, B)))) | (~less_3(bitIndex0)) | (v90(constB182, bitIndex0) <=> v129(constB182, bitIndex0))),
% 16.31/11.52 inference(modus_ponens,[status(thm)],[26117, 26116])).
% 16.31/11.52 tff(26119,plain,
% 16.31/11.52 (v90(constB182, bitIndex0) <=> v129(constB182, bitIndex0)),
% 16.31/11.52 inference(unit_resolution,[status(thm)],[26118, 5004, 26071])).
% 16.31/11.52 tff(26120,plain,
% 16.31/11.52 (((~![B: $i] : ((~less_3(B)) | (v129(constB182, B) <=> v127(constB181, B)))) | ((~less_3(bitIndex0)) | (v129(constB182, bitIndex0) <=> v127(constB181, bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v129(constB182, B) <=> v127(constB181, B)))) | (~less_3(bitIndex0)) | (v129(constB182, bitIndex0) <=> v127(constB181, bitIndex0)))),
% 16.31/11.52 inference(rewrite,[status(thm)],[])).
% 16.31/11.52 tff(26121,plain,
% 16.31/11.52 ((~![B: $i] : ((~less_3(B)) | (v129(constB182, B) <=> v127(constB181, B)))) | ((~less_3(bitIndex0)) | (v129(constB182, bitIndex0) <=> v127(constB181, bitIndex0)))),
% 16.31/11.52 inference(quant_inst,[status(thm)],[])).
% 16.31/11.52 tff(26122,plain,
% 16.31/11.52 ((~![B: $i] : ((~less_3(B)) | (v129(constB182, B) <=> v127(constB181, B)))) | (~less_3(bitIndex0)) | (v129(constB182, bitIndex0) <=> v127(constB181, bitIndex0))),
% 16.31/11.52 inference(modus_ponens,[status(thm)],[26121, 26120])).
% 16.31/11.52 tff(26123,plain,
% 16.31/11.52 (v129(constB182, bitIndex0) <=> v127(constB181, bitIndex0)),
% 16.31/11.52 inference(unit_resolution,[status(thm)],[26122, 5004, 26079])).
% 16.31/11.52 tff(26124,plain,
% 16.31/11.52 (((~![B: $i] : ((~less_3(B)) | (v127(constB181, B) <=> v130(constB181, B)))) | ((~less_3(bitIndex0)) | (v127(constB181, bitIndex0) <=> v130(constB181, bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v127(constB181, B) <=> v130(constB181, B)))) | (~less_3(bitIndex0)) | (v127(constB181, bitIndex0) <=> v130(constB181, bitIndex0)))),
% 16.31/11.52 inference(rewrite,[status(thm)],[])).
% 16.31/11.52 tff(26125,plain,
% 16.31/11.52 ((~![B: $i] : ((~less_3(B)) | (v127(constB181, B) <=> v130(constB181, B)))) | ((~less_3(bitIndex0)) | (v127(constB181, bitIndex0) <=> v130(constB181, bitIndex0)))),
% 16.31/11.52 inference(quant_inst,[status(thm)],[])).
% 16.31/11.52 tff(26126,plain,
% 16.31/11.52 ((~![B: $i] : ((~less_3(B)) | (v127(constB181, B) <=> v130(constB181, B)))) | (~less_3(bitIndex0)) | (v127(constB181, bitIndex0) <=> v130(constB181, bitIndex0))),
% 16.31/11.52 inference(modus_ponens,[status(thm)],[26125, 26124])).
% 16.31/11.52 tff(26127,plain,
% 16.31/11.52 (v127(constB181, bitIndex0) <=> v130(constB181, bitIndex0)),
% 16.31/11.52 inference(unit_resolution,[status(thm)],[26126, 5004, 26087])).
% 16.31/11.52 tff(26128,plain,
% 16.31/11.52 (((~![B: $i] : ((~less_3(B)) | (v130(constB181, B) <=> b100(B)))) | ((~less_3(bitIndex0)) | (v130(constB181, bitIndex0) <=> b100(bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v130(constB181, B) <=> b100(B)))) | (~less_3(bitIndex0)) | (v130(constB181, bitIndex0) <=> b100(bitIndex0)))),
% 16.31/11.52 inference(rewrite,[status(thm)],[])).
% 16.31/11.52 tff(26129,plain,
% 16.31/11.52 ((~![B: $i] : ((~less_3(B)) | (v130(constB181, B) <=> b100(B)))) | ((~less_3(bitIndex0)) | (v130(constB181, bitIndex0) <=> b100(bitIndex0)))),
% 16.31/11.52 inference(quant_inst,[status(thm)],[])).
% 16.31/11.52 tff(26130,plain,
% 16.31/11.52 ((~![B: $i] : ((~less_3(B)) | (v130(constB181, B) <=> b100(B)))) | (~less_3(bitIndex0)) | (v130(constB181, bitIndex0) <=> b100(bitIndex0))),
% 16.31/11.52 inference(modus_ponens,[status(thm)],[26129, 26128])).
% 16.31/11.52 tff(26131,plain,
% 16.31/11.52 (v130(constB181, bitIndex0) <=> b100(bitIndex0)),
% 16.31/11.52 inference(unit_resolution,[status(thm)],[26130, 5004, 26096])).
% 16.31/11.52 tff(26132,plain,
% 16.31/11.52 ((~(v130(constB181, bitIndex0) <=> b100(bitIndex0))) | (~v130(constB181, bitIndex0)) | b100(bitIndex0)),
% 16.31/11.52 inference(tautology,[status(thm)],[])).
% 16.31/11.52 tff(26133,plain,
% 16.31/11.52 ((~(v130(constB181, bitIndex0) <=> b100(bitIndex0))) | (~v130(constB181, bitIndex0))),
% 16.31/11.52 inference(unit_resolution,[status(thm)],[26132, 5243])).
% 16.31/11.52 tff(26134,plain,
% 16.31/11.52 (~v130(constB181, bitIndex0)),
% 16.31/11.52 inference(unit_resolution,[status(thm)],[26133, 26131])).
% 16.31/11.52 tff(26135,plain,
% 16.31/11.52 ((~(v127(constB181, bitIndex0) <=> v130(constB181, bitIndex0))) | (~v127(constB181, bitIndex0)) | v130(constB181, bitIndex0)),
% 16.31/11.52 inference(tautology,[status(thm)],[])).
% 16.31/11.52 tff(26136,plain,
% 16.31/11.52 (~v127(constB181, bitIndex0)),
% 16.31/11.52 inference(unit_resolution,[status(thm)],[26135, 26134, 26127])).
% 16.31/11.52 tff(26137,plain,
% 16.31/11.52 ((~(v129(constB182, bitIndex0) <=> v127(constB181, bitIndex0))) | (~v129(constB182, bitIndex0)) | v127(constB181, bitIndex0)),
% 16.31/11.52 inference(tautology,[status(thm)],[])).
% 16.31/11.52 tff(26138,plain,
% 16.31/11.52 (~v129(constB182, bitIndex0)),
% 16.31/11.52 inference(unit_resolution,[status(thm)],[26137, 26136, 26123])).
% 16.31/11.52 tff(26139,plain,
% 16.31/11.52 ((~(v90(constB182, bitIndex0) <=> v129(constB182, bitIndex0))) | (~v90(constB182, bitIndex0)) | v129(constB182, bitIndex0)),
% 16.31/11.52 inference(tautology,[status(thm)],[])).
% 16.31/11.52 tff(26140,plain,
% 16.31/11.52 (~v90(constB182, bitIndex0)),
% 16.31/11.52 inference(unit_resolution,[status(thm)],[26139, 26138, 26119])).
% 16.31/11.52 tff(26141,plain,
% 16.31/11.52 ((~(v90(constB183, bitIndex0) <=> v90(constB182, bitIndex0))) | (~v90(constB183, bitIndex0)) | v90(constB182, bitIndex0)),
% 16.31/11.52 inference(tautology,[status(thm)],[])).
% 16.31/11.52 tff(26142,plain,
% 16.31/11.52 (~v90(constB183, bitIndex0)),
% 16.31/11.52 inference(unit_resolution,[status(thm)],[26141, 26140, 26115])).
% 16.31/11.52 tff(26143,plain,
% 16.31/11.52 (((~![B: $i] : ((~less_3(B)) | (v90(constB183, B) <=> v90(constB182, B)))) | ((~less_3(bitIndex1)) | (v90(constB183, bitIndex1) <=> v90(constB182, bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v90(constB183, B) <=> v90(constB182, B)))) | (~less_3(bitIndex1)) | (v90(constB183, bitIndex1) <=> v90(constB182, bitIndex1)))),
% 16.31/11.52 inference(rewrite,[status(thm)],[])).
% 16.31/11.52 tff(26144,plain,
% 16.31/11.52 ((~![B: $i] : ((~less_3(B)) | (v90(constB183, B) <=> v90(constB182, B)))) | ((~less_3(bitIndex1)) | (v90(constB183, bitIndex1) <=> v90(constB182, bitIndex1)))),
% 16.31/11.52 inference(quant_inst,[status(thm)],[])).
% 16.31/11.52 tff(26145,plain,
% 16.31/11.52 ((~![B: $i] : ((~less_3(B)) | (v90(constB183, B) <=> v90(constB182, B)))) | (~less_3(bitIndex1)) | (v90(constB183, bitIndex1) <=> v90(constB182, bitIndex1))),
% 16.31/11.52 inference(modus_ponens,[status(thm)],[26144, 26143])).
% 16.31/11.52 tff(26146,plain,
% 16.31/11.52 (v90(constB183, bitIndex1) <=> v90(constB182, bitIndex1)),
% 16.31/11.52 inference(unit_resolution,[status(thm)],[26145, 5017, 24411])).
% 16.31/11.52 tff(26147,plain,
% 16.31/11.52 (((~![B: $i] : ((~less_3(B)) | (v90(constB182, B) <=> v129(constB182, B)))) | ((~less_3(bitIndex1)) | (v90(constB182, bitIndex1) <=> v129(constB182, bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v90(constB182, B) <=> v129(constB182, B)))) | (~less_3(bitIndex1)) | (v90(constB182, bitIndex1) <=> v129(constB182, bitIndex1)))),
% 16.31/11.52 inference(rewrite,[status(thm)],[])).
% 16.31/11.52 tff(26148,plain,
% 16.31/11.52 ((~![B: $i] : ((~less_3(B)) | (v90(constB182, B) <=> v129(constB182, B)))) | ((~less_3(bitIndex1)) | (v90(constB182, bitIndex1) <=> v129(constB182, bitIndex1)))),
% 16.31/11.52 inference(quant_inst,[status(thm)],[])).
% 16.31/11.52 tff(26149,plain,
% 16.31/11.52 ((~![B: $i] : ((~less_3(B)) | (v90(constB182, B) <=> v129(constB182, B)))) | (~less_3(bitIndex1)) | (v90(constB182, bitIndex1) <=> v129(constB182, bitIndex1))),
% 16.31/11.52 inference(modus_ponens,[status(thm)],[26148, 26147])).
% 16.31/11.52 tff(26150,plain,
% 16.31/11.52 (v90(constB182, bitIndex1) <=> v129(constB182, bitIndex1)),
% 16.31/11.52 inference(unit_resolution,[status(thm)],[26149, 5017, 26071])).
% 16.31/11.52 tff(26151,plain,
% 16.31/11.52 (((~![B: $i] : ((~less_3(B)) | (v129(constB182, B) <=> v127(constB181, B)))) | ((~less_3(bitIndex1)) | (v129(constB182, bitIndex1) <=> v127(constB181, bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v129(constB182, B) <=> v127(constB181, B)))) | (~less_3(bitIndex1)) | (v129(constB182, bitIndex1) <=> v127(constB181, bitIndex1)))),
% 16.31/11.52 inference(rewrite,[status(thm)],[])).
% 16.31/11.52 tff(26152,plain,
% 16.31/11.52 ((~![B: $i] : ((~less_3(B)) | (v129(constB182, B) <=> v127(constB181, B)))) | ((~less_3(bitIndex1)) | (v129(constB182, bitIndex1) <=> v127(constB181, bitIndex1)))),
% 16.31/11.52 inference(quant_inst,[status(thm)],[])).
% 16.31/11.53 tff(26153,plain,
% 16.31/11.53 ((~![B: $i] : ((~less_3(B)) | (v129(constB182, B) <=> v127(constB181, B)))) | (~less_3(bitIndex1)) | (v129(constB182, bitIndex1) <=> v127(constB181, bitIndex1))),
% 16.31/11.53 inference(modus_ponens,[status(thm)],[26152, 26151])).
% 16.31/11.53 tff(26154,plain,
% 16.31/11.53 (v129(constB182, bitIndex1) <=> v127(constB181, bitIndex1)),
% 16.31/11.53 inference(unit_resolution,[status(thm)],[26153, 5017, 26079])).
% 16.31/11.53 tff(26155,plain,
% 16.31/11.53 (((~![B: $i] : ((~less_3(B)) | (v127(constB181, B) <=> v130(constB181, B)))) | ((~less_3(bitIndex1)) | (v127(constB181, bitIndex1) <=> v130(constB181, bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v127(constB181, B) <=> v130(constB181, B)))) | (~less_3(bitIndex1)) | (v127(constB181, bitIndex1) <=> v130(constB181, bitIndex1)))),
% 16.31/11.53 inference(rewrite,[status(thm)],[])).
% 16.31/11.53 tff(26156,plain,
% 16.31/11.53 ((~![B: $i] : ((~less_3(B)) | (v127(constB181, B) <=> v130(constB181, B)))) | ((~less_3(bitIndex1)) | (v127(constB181, bitIndex1) <=> v130(constB181, bitIndex1)))),
% 16.31/11.53 inference(quant_inst,[status(thm)],[])).
% 16.31/11.53 tff(26157,plain,
% 16.31/11.53 ((~![B: $i] : ((~less_3(B)) | (v127(constB181, B) <=> v130(constB181, B)))) | (~less_3(bitIndex1)) | (v127(constB181, bitIndex1) <=> v130(constB181, bitIndex1))),
% 16.31/11.53 inference(modus_ponens,[status(thm)],[26156, 26155])).
% 16.31/11.53 tff(26158,plain,
% 16.31/11.53 (v127(constB181, bitIndex1) <=> v130(constB181, bitIndex1)),
% 16.31/11.53 inference(unit_resolution,[status(thm)],[26157, 5017, 26087])).
% 16.31/11.53 tff(26159,plain,
% 16.31/11.53 (((~![B: $i] : ((~less_3(B)) | (v130(constB181, B) <=> b100(B)))) | ((~less_3(bitIndex1)) | (v130(constB181, bitIndex1) <=> b100(bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v130(constB181, B) <=> b100(B)))) | (~less_3(bitIndex1)) | (v130(constB181, bitIndex1) <=> b100(bitIndex1)))),
% 16.31/11.53 inference(rewrite,[status(thm)],[])).
% 16.31/11.53 tff(26160,plain,
% 16.31/11.53 ((~![B: $i] : ((~less_3(B)) | (v130(constB181, B) <=> b100(B)))) | ((~less_3(bitIndex1)) | (v130(constB181, bitIndex1) <=> b100(bitIndex1)))),
% 16.31/11.53 inference(quant_inst,[status(thm)],[])).
% 16.31/11.53 tff(26161,plain,
% 16.31/11.53 ((~![B: $i] : ((~less_3(B)) | (v130(constB181, B) <=> b100(B)))) | (~less_3(bitIndex1)) | (v130(constB181, bitIndex1) <=> b100(bitIndex1))),
% 16.31/11.53 inference(modus_ponens,[status(thm)],[26160, 26159])).
% 16.31/11.53 tff(26162,plain,
% 16.31/11.53 (v130(constB181, bitIndex1) <=> b100(bitIndex1)),
% 16.31/11.53 inference(unit_resolution,[status(thm)],[26161, 5017, 26096])).
% 16.31/11.53 tff(26163,plain,
% 16.31/11.53 ((~(v130(constB181, bitIndex1) <=> b100(bitIndex1))) | (~v130(constB181, bitIndex1)) | b100(bitIndex1)),
% 16.31/11.53 inference(tautology,[status(thm)],[])).
% 16.31/11.53 tff(26164,plain,
% 16.31/11.53 ((~(v130(constB181, bitIndex1) <=> b100(bitIndex1))) | (~v130(constB181, bitIndex1))),
% 16.31/11.53 inference(unit_resolution,[status(thm)],[26163, 5277])).
% 16.31/11.53 tff(26165,plain,
% 16.31/11.53 (~v130(constB181, bitIndex1)),
% 16.31/11.53 inference(unit_resolution,[status(thm)],[26164, 26162])).
% 16.31/11.53 tff(26166,plain,
% 16.31/11.53 ((~(v127(constB181, bitIndex1) <=> v130(constB181, bitIndex1))) | (~v127(constB181, bitIndex1)) | v130(constB181, bitIndex1)),
% 16.31/11.53 inference(tautology,[status(thm)],[])).
% 16.31/11.53 tff(26167,plain,
% 16.31/11.53 (~v127(constB181, bitIndex1)),
% 16.31/11.53 inference(unit_resolution,[status(thm)],[26166, 26165, 26158])).
% 16.31/11.53 tff(26168,plain,
% 16.31/11.53 ((~(v129(constB182, bitIndex1) <=> v127(constB181, bitIndex1))) | (~v129(constB182, bitIndex1)) | v127(constB181, bitIndex1)),
% 16.31/11.53 inference(tautology,[status(thm)],[])).
% 16.31/11.53 tff(26169,plain,
% 16.31/11.53 (~v129(constB182, bitIndex1)),
% 16.31/11.53 inference(unit_resolution,[status(thm)],[26168, 26167, 26154])).
% 16.31/11.53 tff(26170,plain,
% 16.31/11.53 ((~(v90(constB182, bitIndex1) <=> v129(constB182, bitIndex1))) | (~v90(constB182, bitIndex1)) | v129(constB182, bitIndex1)),
% 16.31/11.53 inference(tautology,[status(thm)],[])).
% 16.31/11.53 tff(26171,plain,
% 16.31/11.53 (~v90(constB182, bitIndex1)),
% 16.31/11.53 inference(unit_resolution,[status(thm)],[26170, 26169, 26150])).
% 16.31/11.53 tff(26172,plain,
% 16.31/11.53 ((~(v90(constB183, bitIndex1) <=> v90(constB182, bitIndex1))) | (~v90(constB183, bitIndex1)) | v90(constB182, bitIndex1)),
% 16.31/11.53 inference(tautology,[status(thm)],[])).
% 16.31/11.53 tff(26173,plain,
% 16.31/11.53 (~v90(constB183, bitIndex1)),
% 16.31/11.53 inference(unit_resolution,[status(thm)],[26172, 26171, 26146])).
% 16.31/11.53 tff(26174,plain,
% 16.31/11.53 ((~((~v90(constB183, bitIndex2)) | v90(constB183, bitIndex1) | v90(constB183, bitIndex0))) | (~v90(constB183, bitIndex2)) | v90(constB183, bitIndex1) | v90(constB183, bitIndex0)),
% 16.31/11.53 inference(tautology,[status(thm)],[])).
% 16.31/11.53 tff(26175,plain,
% 16.31/11.53 (~((~v90(constB183, bitIndex2)) | v90(constB183, bitIndex1) | v90(constB183, bitIndex0))),
% 16.31/11.53 inference(unit_resolution,[status(thm)],[26174, 26173, 26142, 26111])).
% 16.31/11.53 tff(26176,plain,
% 16.31/11.53 ((~(v123(constB183) <=> (~((~v90(constB183, bitIndex2)) | v90(constB183, bitIndex1) | v90(constB183, bitIndex0))))) | v123(constB183) | ((~v90(constB183, bitIndex2)) | v90(constB183, bitIndex1) | v90(constB183, bitIndex0))),
% 16.31/11.53 inference(tautology,[status(thm)],[])).
% 16.31/11.53 tff(26177,plain,
% 16.31/11.53 (v123(constB183)),
% 16.31/11.53 inference(unit_resolution,[status(thm)],[26176, 26175, 24383])).
% 16.31/11.53 tff(26178,plain,
% 16.31/11.53 ((v116(constB183) | v123(constB183)) | (~v123(constB183))),
% 16.31/11.53 inference(tautology,[status(thm)],[])).
% 16.31/11.53 tff(26179,plain,
% 16.31/11.53 (v116(constB183) | v123(constB183)),
% 16.31/11.53 inference(unit_resolution,[status(thm)],[26178, 26177])).
% 16.33/11.53 tff(26180,plain,
% 16.33/11.53 ((~(v115(constB183) <=> (v116(constB183) | v123(constB183)))) | v115(constB183) | (~(v116(constB183) | v123(constB183)))),
% 16.33/11.53 inference(tautology,[status(thm)],[])).
% 16.33/11.53 tff(26181,plain,
% 16.33/11.53 (v115(constB183)),
% 16.33/11.53 inference(unit_resolution,[status(thm)],[26180, 26179, 24376])).
% 16.33/11.53 tff(26182,plain,
% 16.33/11.53 ((v115(constB183) | v124(constB183)) | (~v115(constB183))),
% 16.33/11.53 inference(tautology,[status(thm)],[])).
% 16.33/11.53 tff(26183,plain,
% 16.33/11.53 (v115(constB183) | v124(constB183)),
% 16.33/11.53 inference(unit_resolution,[status(thm)],[26182, 26181])).
% 16.33/11.53 tff(26184,plain,
% 16.33/11.53 ((~(v114(constB183) <=> (v115(constB183) | v124(constB183)))) | v114(constB183) | (~(v115(constB183) | v124(constB183)))),
% 16.33/11.53 inference(tautology,[status(thm)],[])).
% 16.33/11.53 tff(26185,plain,
% 16.33/11.53 (v114(constB183)),
% 16.33/11.53 inference(unit_resolution,[status(thm)],[26184, 26183, 24374])).
% 16.33/11.53 tff(26186,plain,
% 16.33/11.53 ((v114(constB183) | v125(constB183)) | (~v114(constB183))),
% 16.33/11.53 inference(tautology,[status(thm)],[])).
% 16.33/11.53 tff(26187,plain,
% 16.33/11.53 (v114(constB183) | v125(constB183)),
% 16.33/11.53 inference(unit_resolution,[status(thm)],[26186, 26185])).
% 16.33/11.53 tff(26188,plain,
% 16.33/11.53 ((~(v113(constB183) <=> (v114(constB183) | v125(constB183)))) | v113(constB183) | (~(v114(constB183) | v125(constB183)))),
% 16.33/11.53 inference(tautology,[status(thm)],[])).
% 16.33/11.53 tff(26189,plain,
% 16.33/11.53 (v113(constB183)),
% 16.33/11.53 inference(unit_resolution,[status(thm)],[26188, 26187, 24372])).
% 16.33/11.53 tff(26190,plain,
% 16.33/11.53 ((~![VarCurr: $i] : ((~v126(VarCurr)) <=> v111(VarCurr))) | ((~v126(constB183)) <=> v111(constB183))),
% 16.33/11.53 inference(quant_inst,[status(thm)],[])).
% 16.33/11.53 tff(26191,plain,
% 16.33/11.53 ((~v126(constB183)) <=> v111(constB183)),
% 16.33/11.53 inference(unit_resolution,[status(thm)],[26190, 5074])).
% 16.33/11.53 tff(26192,plain,
% 16.33/11.53 ((~![VarCurr: $i] : (v111(VarCurr) <=> v26(VarCurr))) | (v111(constB183) <=> v26(constB183))),
% 16.33/11.53 inference(quant_inst,[status(thm)],[])).
% 16.33/11.53 tff(26193,plain,
% 16.33/11.53 (v111(constB183) <=> v26(constB183)),
% 16.33/11.53 inference(unit_resolution,[status(thm)],[26192, 5086])).
% 16.33/11.53 tff(26194,plain,
% 16.33/11.53 ((~![VarCurr: $i] : (~v26(VarCurr))) | (~v26(constB183))),
% 16.33/11.53 inference(quant_inst,[status(thm)],[])).
% 16.33/11.53 tff(26195,plain,
% 16.33/11.53 (~v26(constB183)),
% 16.33/11.53 inference(unit_resolution,[status(thm)],[26194, 5098])).
% 16.33/11.53 tff(26196,plain,
% 16.33/11.53 ((~(v111(constB183) <=> v26(constB183))) | (~v111(constB183)) | v26(constB183)),
% 16.33/11.53 inference(tautology,[status(thm)],[])).
% 16.33/11.53 tff(26197,plain,
% 16.33/11.53 ((~(v111(constB183) <=> v26(constB183))) | (~v111(constB183))),
% 16.33/11.53 inference(unit_resolution,[status(thm)],[26196, 26195])).
% 16.33/11.53 tff(26198,plain,
% 16.33/11.53 (~v111(constB183)),
% 16.33/11.53 inference(unit_resolution,[status(thm)],[26197, 26193])).
% 16.33/11.53 tff(26199,plain,
% 16.33/11.53 ((~((~v126(constB183)) <=> v111(constB183))) | v126(constB183) | v111(constB183)),
% 16.33/11.53 inference(tautology,[status(thm)],[])).
% 16.33/11.53 tff(26200,plain,
% 16.33/11.53 ((~((~v126(constB183)) <=> v111(constB183))) | v126(constB183)),
% 16.33/11.53 inference(unit_resolution,[status(thm)],[26199, 26198])).
% 16.33/11.53 tff(26201,plain,
% 16.33/11.53 (v126(constB183)),
% 16.33/11.53 inference(unit_resolution,[status(thm)],[26200, 26191])).
% 16.33/11.53 tff(26202,plain,
% 16.33/11.53 ((~((~v113(constB183)) | (~v126(constB183)))) | (~v113(constB183)) | (~v126(constB183))),
% 16.33/11.53 inference(tautology,[status(thm)],[])).
% 16.33/11.53 tff(26203,plain,
% 16.33/11.53 ((~((~v113(constB183)) | (~v126(constB183)))) | (~v113(constB183))),
% 16.33/11.53 inference(unit_resolution,[status(thm)],[26202, 26201])).
% 16.33/11.53 tff(26204,plain,
% 16.33/11.53 (~((~v113(constB183)) | (~v126(constB183)))),
% 16.33/11.53 inference(unit_resolution,[status(thm)],[26203, 26189])).
% 16.33/11.53 tff(26205,plain,
% 16.33/11.53 ((~(v112(constB183) <=> (~((~v113(constB183)) | (~v126(constB183)))))) | v112(constB183) | ((~v113(constB183)) | (~v126(constB183)))),
% 16.33/11.53 inference(tautology,[status(thm)],[])).
% 16.33/11.53 tff(26206,plain,
% 16.33/11.53 (v112(constB183)),
% 16.33/11.53 inference(unit_resolution,[status(thm)],[26205, 26204, 24370])).
% 16.33/11.53 tff(26207,plain,
% 16.33/11.53 ((v111(constB183) | v112(constB183)) | (~v112(constB183))),
% 16.33/11.53 inference(tautology,[status(thm)],[])).
% 16.33/11.53 tff(26208,plain,
% 16.33/11.53 (v111(constB183) | v112(constB183)),
% 16.33/11.53 inference(unit_resolution,[status(thm)],[26207, 26206])).
% 16.33/11.53 tff(26209,plain,
% 16.33/11.53 ((~(v108(constB183) <=> (v111(constB183) | v112(constB183)))) | v108(constB183) | (~(v111(constB183) | v112(constB183)))),
% 16.33/11.53 inference(tautology,[status(thm)],[])).
% 16.33/11.53 tff(26210,plain,
% 16.33/11.53 (v108(constB183)),
% 16.33/11.53 inference(unit_resolution,[status(thm)],[26209, 26208, 24368])).
% 16.33/11.53 tff(26211,plain,
% 16.33/11.53 ((~(v110(constB184) <=> v108(constB183))) | v110(constB184) | (~v108(constB183))),
% 16.33/11.53 inference(tautology,[status(thm)],[])).
% 16.33/11.53 tff(26212,plain,
% 16.33/11.53 (v110(constB184)),
% 16.33/11.53 inference(unit_resolution,[status(thm)],[26211, 26210, 24366])).
% 16.33/11.53 tff(26213,plain,
% 16.33/11.53 ((~((~v101(constB184)) | (~v110(constB184)))) | (~v101(constB184)) | (~v110(constB184))),
% 16.33/11.53 inference(tautology,[status(thm)],[])).
% 16.33/11.53 tff(26214,plain,
% 16.33/11.53 (~((~v101(constB184)) | (~v110(constB184)))),
% 16.33/11.53 inference(unit_resolution,[status(thm)],[26213, 26212, 24362])).
% 16.33/11.53 tff(26215,plain,
% 16.33/11.53 ((~(v100(constB184) <=> (~((~v101(constB184)) | (~v110(constB184)))))) | v100(constB184) | ((~v101(constB184)) | (~v110(constB184)))),
% 16.33/11.53 inference(tautology,[status(thm)],[])).
% 16.33/11.53 tff(26216,plain,
% 16.33/11.53 (v100(constB184)),
% 16.33/11.53 inference(unit_resolution,[status(thm)],[26215, 26214, 24331])).
% 16.33/11.53 tff(26217,plain,
% 16.33/11.53 (((~![VarNext: $i] : ((~v100(VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v129(VarNext, B))))) | ((~v100(constB184)) | ![B: $i] : ((~less_3(B)) | (v90(constB184, B) <=> v129(constB184, B))))) <=> ((~![VarNext: $i] : ((~v100(VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v129(VarNext, B))))) | (~v100(constB184)) | ![B: $i] : ((~less_3(B)) | (v90(constB184, B) <=> v129(constB184, B))))),
% 16.33/11.53 inference(rewrite,[status(thm)],[])).
% 16.33/11.53 tff(26218,plain,
% 16.33/11.53 ((~![VarNext: $i] : ((~v100(VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v129(VarNext, B))))) | ((~v100(constB184)) | ![B: $i] : ((~less_3(B)) | (v90(constB184, B) <=> v129(constB184, B))))),
% 16.33/11.53 inference(quant_inst,[status(thm)],[])).
% 16.33/11.53 tff(26219,plain,
% 16.33/11.53 ((~![VarNext: $i] : ((~v100(VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v129(VarNext, B))))) | (~v100(constB184)) | ![B: $i] : ((~less_3(B)) | (v90(constB184, B) <=> v129(constB184, B)))),
% 16.33/11.53 inference(modus_ponens,[status(thm)],[26218, 26217])).
% 16.33/11.53 tff(26220,plain,
% 16.33/11.53 ((~v100(constB184)) | ![B: $i] : ((~less_3(B)) | (v90(constB184, B) <=> v129(constB184, B)))),
% 16.33/11.53 inference(unit_resolution,[status(thm)],[26219, 5134])).
% 16.33/11.53 tff(26221,plain,
% 16.33/11.53 (![B: $i] : ((~less_3(B)) | (v90(constB184, B) <=> v129(constB184, B)))),
% 16.33/11.53 inference(unit_resolution,[status(thm)],[26220, 26216])).
% 16.33/11.53 tff(26222,plain,
% 16.33/11.53 (((~![B: $i] : ((~less_3(B)) | (v90(constB184, B) <=> v129(constB184, B)))) | ((~less_3(bitIndex2)) | (v90(constB184, bitIndex2) <=> v129(constB184, bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v90(constB184, B) <=> v129(constB184, B)))) | (~less_3(bitIndex2)) | (v90(constB184, bitIndex2) <=> v129(constB184, bitIndex2)))),
% 16.33/11.53 inference(rewrite,[status(thm)],[])).
% 16.33/11.53 tff(26223,plain,
% 16.33/11.53 ((~![B: $i] : ((~less_3(B)) | (v90(constB184, B) <=> v129(constB184, B)))) | ((~less_3(bitIndex2)) | (v90(constB184, bitIndex2) <=> v129(constB184, bitIndex2)))),
% 16.33/11.53 inference(quant_inst,[status(thm)],[])).
% 16.33/11.53 tff(26224,plain,
% 16.33/11.53 ((~![B: $i] : ((~less_3(B)) | (v90(constB184, B) <=> v129(constB184, B)))) | (~less_3(bitIndex2)) | (v90(constB184, bitIndex2) <=> v129(constB184, bitIndex2))),
% 16.33/11.53 inference(modus_ponens,[status(thm)],[26223, 26222])).
% 16.33/11.53 tff(26225,plain,
% 16.33/11.53 (v90(constB184, bitIndex2) <=> v129(constB184, bitIndex2)),
% 16.33/11.53 inference(unit_resolution,[status(thm)],[26224, 413, 26221])).
% 16.33/11.53 tff(26226,plain,
% 16.33/11.53 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v129(VarNext, B) <=> v127(VarCurr, B))))) | ((~nextState(constB183, constB184)) | ![B: $i] : ((~less_3(B)) | (v129(constB184, B) <=> v127(constB183, B))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v129(VarNext, B) <=> v127(VarCurr, B))))) | (~nextState(constB183, constB184)) | ![B: $i] : ((~less_3(B)) | (v129(constB184, B) <=> v127(constB183, B))))),
% 16.33/11.53 inference(rewrite,[status(thm)],[])).
% 16.33/11.53 tff(26227,plain,
% 16.33/11.53 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v129(VarNext, B) <=> v127(VarCurr, B))))) | ((~nextState(constB183, constB184)) | ![B: $i] : ((~less_3(B)) | (v129(constB184, B) <=> v127(constB183, B))))),
% 16.33/11.53 inference(quant_inst,[status(thm)],[])).
% 16.33/11.53 tff(26228,plain,
% 16.33/11.53 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v129(VarNext, B) <=> v127(VarCurr, B))))) | (~nextState(constB183, constB184)) | ![B: $i] : ((~less_3(B)) | (v129(constB184, B) <=> v127(constB183, B)))),
% 16.33/11.53 inference(modus_ponens,[status(thm)],[26227, 26226])).
% 16.33/11.53 tff(26229,plain,
% 16.33/11.53 (![B: $i] : ((~less_3(B)) | (v129(constB184, B) <=> v127(constB183, B)))),
% 16.33/11.53 inference(unit_resolution,[status(thm)],[26228, 24327, 5156])).
% 16.33/11.53 tff(26230,plain,
% 16.33/11.53 (((~![B: $i] : ((~less_3(B)) | (v129(constB184, B) <=> v127(constB183, B)))) | ((~less_3(bitIndex2)) | (v129(constB184, bitIndex2) <=> v127(constB183, bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v129(constB184, B) <=> v127(constB183, B)))) | (~less_3(bitIndex2)) | (v129(constB184, bitIndex2) <=> v127(constB183, bitIndex2)))),
% 16.33/11.53 inference(rewrite,[status(thm)],[])).
% 16.33/11.53 tff(26231,plain,
% 16.33/11.53 ((~![B: $i] : ((~less_3(B)) | (v129(constB184, B) <=> v127(constB183, B)))) | ((~less_3(bitIndex2)) | (v129(constB184, bitIndex2) <=> v127(constB183, bitIndex2)))),
% 16.33/11.53 inference(quant_inst,[status(thm)],[])).
% 16.33/11.53 tff(26232,plain,
% 16.33/11.53 ((~![B: $i] : ((~less_3(B)) | (v129(constB184, B) <=> v127(constB183, B)))) | (~less_3(bitIndex2)) | (v129(constB184, bitIndex2) <=> v127(constB183, bitIndex2))),
% 16.33/11.53 inference(modus_ponens,[status(thm)],[26231, 26230])).
% 16.33/11.53 tff(26233,plain,
% 16.33/11.53 (v129(constB184, bitIndex2) <=> v127(constB183, bitIndex2)),
% 16.33/11.53 inference(unit_resolution,[status(thm)],[26232, 413, 26229])).
% 16.33/11.53 tff(26234,plain,
% 16.33/11.53 (((~![VarCurr: $i] : (v111(VarCurr) | ![B: $i] : ((~less_3(B)) | (v127(VarCurr, B) <=> v130(VarCurr, B))))) | (v111(constB183) | ![B: $i] : ((~less_3(B)) | (v127(constB183, B) <=> v130(constB183, B))))) <=> ((~![VarCurr: $i] : (v111(VarCurr) | ![B: $i] : ((~less_3(B)) | (v127(VarCurr, B) <=> v130(VarCurr, B))))) | v111(constB183) | ![B: $i] : ((~less_3(B)) | (v127(constB183, B) <=> v130(constB183, B))))),
% 16.33/11.53 inference(rewrite,[status(thm)],[])).
% 16.33/11.53 tff(26235,plain,
% 16.33/11.53 ((~![VarCurr: $i] : (v111(VarCurr) | ![B: $i] : ((~less_3(B)) | (v127(VarCurr, B) <=> v130(VarCurr, B))))) | (v111(constB183) | ![B: $i] : ((~less_3(B)) | (v127(constB183, B) <=> v130(constB183, B))))),
% 16.33/11.53 inference(quant_inst,[status(thm)],[])).
% 16.33/11.53 tff(26236,plain,
% 16.33/11.53 ((~![VarCurr: $i] : (v111(VarCurr) | ![B: $i] : ((~less_3(B)) | (v127(VarCurr, B) <=> v130(VarCurr, B))))) | v111(constB183) | ![B: $i] : ((~less_3(B)) | (v127(constB183, B) <=> v130(constB183, B)))),
% 16.33/11.53 inference(modus_ponens,[status(thm)],[26235, 26234])).
% 16.33/11.53 tff(26237,plain,
% 16.33/11.53 (![B: $i] : ((~less_3(B)) | (v127(constB183, B) <=> v130(constB183, B)))),
% 16.33/11.53 inference(unit_resolution,[status(thm)],[26236, 5177, 26198])).
% 16.33/11.53 tff(26238,plain,
% 16.33/11.53 (((~![B: $i] : ((~less_3(B)) | (v127(constB183, B) <=> v130(constB183, B)))) | ((~less_3(bitIndex2)) | (v127(constB183, bitIndex2) <=> v130(constB183, bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v127(constB183, B) <=> v130(constB183, B)))) | (~less_3(bitIndex2)) | (v127(constB183, bitIndex2) <=> v130(constB183, bitIndex2)))),
% 16.33/11.54 inference(rewrite,[status(thm)],[])).
% 16.33/11.54 tff(26239,plain,
% 16.33/11.54 ((~![B: $i] : ((~less_3(B)) | (v127(constB183, B) <=> v130(constB183, B)))) | ((~less_3(bitIndex2)) | (v127(constB183, bitIndex2) <=> v130(constB183, bitIndex2)))),
% 16.33/11.54 inference(quant_inst,[status(thm)],[])).
% 16.33/11.54 tff(26240,plain,
% 16.33/11.54 ((~![B: $i] : ((~less_3(B)) | (v127(constB183, B) <=> v130(constB183, B)))) | (~less_3(bitIndex2)) | (v127(constB183, bitIndex2) <=> v130(constB183, bitIndex2))),
% 16.33/11.54 inference(modus_ponens,[status(thm)],[26239, 26238])).
% 16.33/11.54 tff(26241,plain,
% 16.33/11.54 (v127(constB183, bitIndex2) <=> v130(constB183, bitIndex2)),
% 16.33/11.54 inference(unit_resolution,[status(thm)],[26240, 413, 26237])).
% 16.33/11.54 tff(26242,plain,
% 16.33/11.54 (((~![VarCurr: $i] : ((~v123(VarCurr)) | ![B: $i] : ((~less_3(B)) | (v130(VarCurr, B) <=> b110(B))))) | ((~v123(constB183)) | ![B: $i] : ((~less_3(B)) | (v130(constB183, B) <=> b110(B))))) <=> ((~![VarCurr: $i] : ((~v123(VarCurr)) | ![B: $i] : ((~less_3(B)) | (v130(VarCurr, B) <=> b110(B))))) | (~v123(constB183)) | ![B: $i] : ((~less_3(B)) | (v130(constB183, B) <=> b110(B))))),
% 16.33/11.54 inference(rewrite,[status(thm)],[])).
% 16.33/11.54 tff(26243,plain,
% 16.33/11.54 ((~![VarCurr: $i] : ((~v123(VarCurr)) | ![B: $i] : ((~less_3(B)) | (v130(VarCurr, B) <=> b110(B))))) | ((~v123(constB183)) | ![B: $i] : ((~less_3(B)) | (v130(constB183, B) <=> b110(B))))),
% 16.33/11.54 inference(quant_inst,[status(thm)],[])).
% 16.33/11.54 tff(26244,plain,
% 16.33/11.54 ((~![VarCurr: $i] : ((~v123(VarCurr)) | ![B: $i] : ((~less_3(B)) | (v130(VarCurr, B) <=> b110(B))))) | (~v123(constB183)) | ![B: $i] : ((~less_3(B)) | (v130(constB183, B) <=> b110(B)))),
% 16.33/11.54 inference(modus_ponens,[status(thm)],[26243, 26242])).
% 16.33/11.54 tff(26245,plain,
% 16.33/11.54 ((~v123(constB183)) | ![B: $i] : ((~less_3(B)) | (v130(constB183, B) <=> b110(B)))),
% 16.33/11.54 inference(unit_resolution,[status(thm)],[26244, 5369])).
% 16.33/11.54 tff(26246,plain,
% 16.33/11.54 (![B: $i] : ((~less_3(B)) | (v130(constB183, B) <=> b110(B)))),
% 16.33/11.54 inference(unit_resolution,[status(thm)],[26245, 26177])).
% 16.33/11.54 tff(26247,plain,
% 16.33/11.54 (((~![B: $i] : ((~less_3(B)) | (v130(constB183, B) <=> b110(B)))) | ((~less_3(bitIndex2)) | (v130(constB183, bitIndex2) <=> b110(bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v130(constB183, B) <=> b110(B)))) | (~less_3(bitIndex2)) | (v130(constB183, bitIndex2) <=> b110(bitIndex2)))),
% 16.33/11.54 inference(rewrite,[status(thm)],[])).
% 16.33/11.54 tff(26248,plain,
% 16.33/11.54 ((~![B: $i] : ((~less_3(B)) | (v130(constB183, B) <=> b110(B)))) | ((~less_3(bitIndex2)) | (v130(constB183, bitIndex2) <=> b110(bitIndex2)))),
% 16.33/11.54 inference(quant_inst,[status(thm)],[])).
% 16.33/11.54 tff(26249,plain,
% 16.33/11.54 ((~![B: $i] : ((~less_3(B)) | (v130(constB183, B) <=> b110(B)))) | (~less_3(bitIndex2)) | (v130(constB183, bitIndex2) <=> b110(bitIndex2))),
% 16.33/11.54 inference(modus_ponens,[status(thm)],[26248, 26247])).
% 16.33/11.54 tff(26250,plain,
% 16.33/11.54 (v130(constB183, bitIndex2) <=> b110(bitIndex2)),
% 16.33/11.54 inference(unit_resolution,[status(thm)],[26249, 413, 26246])).
% 16.33/11.54 tff(26251,plain,
% 16.33/11.54 ((~(v130(constB183, bitIndex2) <=> b110(bitIndex2))) | v130(constB183, bitIndex2) | (~b110(bitIndex2))),
% 16.33/11.54 inference(tautology,[status(thm)],[])).
% 16.33/11.54 tff(26252,plain,
% 16.33/11.54 ((~(v130(constB183, bitIndex2) <=> b110(bitIndex2))) | v130(constB183, bitIndex2)),
% 16.33/11.54 inference(unit_resolution,[status(thm)],[26251, 5381])).
% 16.33/11.54 tff(26253,plain,
% 16.33/11.54 (v130(constB183, bitIndex2)),
% 16.33/11.54 inference(unit_resolution,[status(thm)],[26252, 26250])).
% 16.33/11.54 tff(26254,plain,
% 16.33/11.54 ((~(v127(constB183, bitIndex2) <=> v130(constB183, bitIndex2))) | v127(constB183, bitIndex2) | (~v130(constB183, bitIndex2))),
% 16.33/11.54 inference(tautology,[status(thm)],[])).
% 16.33/11.54 tff(26255,plain,
% 16.33/11.54 (v127(constB183, bitIndex2)),
% 16.33/11.54 inference(unit_resolution,[status(thm)],[26254, 26253, 26241])).
% 16.33/11.54 tff(26256,plain,
% 16.33/11.54 ((~(v129(constB184, bitIndex2) <=> v127(constB183, bitIndex2))) | v129(constB184, bitIndex2) | (~v127(constB183, bitIndex2))),
% 16.33/11.54 inference(tautology,[status(thm)],[])).
% 16.33/11.54 tff(26257,plain,
% 16.33/11.54 (v129(constB184, bitIndex2)),
% 16.33/11.54 inference(unit_resolution,[status(thm)],[26256, 26255, 26233])).
% 16.33/11.54 tff(26258,plain,
% 16.33/11.54 ((~(v90(constB184, bitIndex2) <=> v129(constB184, bitIndex2))) | v90(constB184, bitIndex2) | (~v129(constB184, bitIndex2))),
% 16.33/11.54 inference(tautology,[status(thm)],[])).
% 16.33/11.54 tff(26259,plain,
% 16.33/11.54 (v90(constB184, bitIndex2)),
% 16.33/11.54 inference(unit_resolution,[status(thm)],[26258, 26257, 26225])).
% 16.33/11.54 tff(26260,plain,
% 16.33/11.54 ((~(v90(constB185, bitIndex2) <=> v90(constB184, bitIndex2))) | v90(constB185, bitIndex2) | (~v90(constB184, bitIndex2))),
% 16.33/11.54 inference(tautology,[status(thm)],[])).
% 16.33/11.54 tff(26261,plain,
% 16.33/11.54 (v90(constB185, bitIndex2)),
% 16.33/11.54 inference(unit_resolution,[status(thm)],[26260, 26259, 24324])).
% 16.33/11.54 tff(26262,plain,
% 16.33/11.54 (((~![B: $i] : ((~less_3(B)) | (v90(constB185, B) <=> v90(constB184, B)))) | ((~less_3(bitIndex0)) | (v90(constB185, bitIndex0) <=> v90(constB184, bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v90(constB185, B) <=> v90(constB184, B)))) | (~less_3(bitIndex0)) | (v90(constB185, bitIndex0) <=> v90(constB184, bitIndex0)))),
% 16.33/11.54 inference(rewrite,[status(thm)],[])).
% 16.33/11.54 tff(26263,plain,
% 16.33/11.54 ((~![B: $i] : ((~less_3(B)) | (v90(constB185, B) <=> v90(constB184, B)))) | ((~less_3(bitIndex0)) | (v90(constB185, bitIndex0) <=> v90(constB184, bitIndex0)))),
% 16.33/11.54 inference(quant_inst,[status(thm)],[])).
% 16.33/11.54 tff(26264,plain,
% 16.33/11.54 ((~![B: $i] : ((~less_3(B)) | (v90(constB185, B) <=> v90(constB184, B)))) | (~less_3(bitIndex0)) | (v90(constB185, bitIndex0) <=> v90(constB184, bitIndex0))),
% 16.33/11.54 inference(modus_ponens,[status(thm)],[26263, 26262])).
% 16.33/11.54 tff(26265,plain,
% 16.33/11.54 (v90(constB185, bitIndex0) <=> v90(constB184, bitIndex0)),
% 16.33/11.54 inference(unit_resolution,[status(thm)],[26264, 5004, 24320])).
% 16.33/11.54 tff(26266,plain,
% 16.33/11.54 (((~![B: $i] : ((~less_3(B)) | (v90(constB184, B) <=> v129(constB184, B)))) | ((~less_3(bitIndex0)) | (v90(constB184, bitIndex0) <=> v129(constB184, bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v90(constB184, B) <=> v129(constB184, B)))) | (~less_3(bitIndex0)) | (v90(constB184, bitIndex0) <=> v129(constB184, bitIndex0)))),
% 16.33/11.54 inference(rewrite,[status(thm)],[])).
% 16.33/11.54 tff(26267,plain,
% 16.33/11.54 ((~![B: $i] : ((~less_3(B)) | (v90(constB184, B) <=> v129(constB184, B)))) | ((~less_3(bitIndex0)) | (v90(constB184, bitIndex0) <=> v129(constB184, bitIndex0)))),
% 16.33/11.54 inference(quant_inst,[status(thm)],[])).
% 16.33/11.54 tff(26268,plain,
% 16.33/11.54 ((~![B: $i] : ((~less_3(B)) | (v90(constB184, B) <=> v129(constB184, B)))) | (~less_3(bitIndex0)) | (v90(constB184, bitIndex0) <=> v129(constB184, bitIndex0))),
% 16.33/11.54 inference(modus_ponens,[status(thm)],[26267, 26266])).
% 16.33/11.54 tff(26269,plain,
% 16.33/11.54 (v90(constB184, bitIndex0) <=> v129(constB184, bitIndex0)),
% 16.33/11.54 inference(unit_resolution,[status(thm)],[26268, 5004, 26221])).
% 16.33/11.54 tff(26270,plain,
% 16.33/11.54 (((~![B: $i] : ((~less_3(B)) | (v129(constB184, B) <=> v127(constB183, B)))) | ((~less_3(bitIndex0)) | (v129(constB184, bitIndex0) <=> v127(constB183, bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v129(constB184, B) <=> v127(constB183, B)))) | (~less_3(bitIndex0)) | (v129(constB184, bitIndex0) <=> v127(constB183, bitIndex0)))),
% 16.33/11.54 inference(rewrite,[status(thm)],[])).
% 16.33/11.54 tff(26271,plain,
% 16.33/11.54 ((~![B: $i] : ((~less_3(B)) | (v129(constB184, B) <=> v127(constB183, B)))) | ((~less_3(bitIndex0)) | (v129(constB184, bitIndex0) <=> v127(constB183, bitIndex0)))),
% 16.33/11.54 inference(quant_inst,[status(thm)],[])).
% 16.33/11.54 tff(26272,plain,
% 16.33/11.54 ((~![B: $i] : ((~less_3(B)) | (v129(constB184, B) <=> v127(constB183, B)))) | (~less_3(bitIndex0)) | (v129(constB184, bitIndex0) <=> v127(constB183, bitIndex0))),
% 16.33/11.54 inference(modus_ponens,[status(thm)],[26271, 26270])).
% 16.33/11.54 tff(26273,plain,
% 16.33/11.54 (v129(constB184, bitIndex0) <=> v127(constB183, bitIndex0)),
% 16.33/11.54 inference(unit_resolution,[status(thm)],[26272, 5004, 26229])).
% 16.33/11.54 tff(26274,plain,
% 16.33/11.54 (((~![B: $i] : ((~less_3(B)) | (v127(constB183, B) <=> v130(constB183, B)))) | ((~less_3(bitIndex0)) | (v127(constB183, bitIndex0) <=> v130(constB183, bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v127(constB183, B) <=> v130(constB183, B)))) | (~less_3(bitIndex0)) | (v127(constB183, bitIndex0) <=> v130(constB183, bitIndex0)))),
% 16.33/11.54 inference(rewrite,[status(thm)],[])).
% 16.33/11.54 tff(26275,plain,
% 16.33/11.54 ((~![B: $i] : ((~less_3(B)) | (v127(constB183, B) <=> v130(constB183, B)))) | ((~less_3(bitIndex0)) | (v127(constB183, bitIndex0) <=> v130(constB183, bitIndex0)))),
% 16.33/11.54 inference(quant_inst,[status(thm)],[])).
% 16.33/11.54 tff(26276,plain,
% 16.33/11.54 ((~![B: $i] : ((~less_3(B)) | (v127(constB183, B) <=> v130(constB183, B)))) | (~less_3(bitIndex0)) | (v127(constB183, bitIndex0) <=> v130(constB183, bitIndex0))),
% 16.33/11.54 inference(modus_ponens,[status(thm)],[26275, 26274])).
% 16.33/11.54 tff(26277,plain,
% 16.33/11.54 (v127(constB183, bitIndex0) <=> v130(constB183, bitIndex0)),
% 16.33/11.54 inference(unit_resolution,[status(thm)],[26276, 5004, 26237])).
% 16.33/11.54 tff(26278,plain,
% 16.33/11.54 (((~![B: $i] : ((~less_3(B)) | (v130(constB183, B) <=> b110(B)))) | ((~less_3(bitIndex0)) | (v130(constB183, bitIndex0) <=> b110(bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v130(constB183, B) <=> b110(B)))) | (~less_3(bitIndex0)) | (v130(constB183, bitIndex0) <=> b110(bitIndex0)))),
% 16.33/11.54 inference(rewrite,[status(thm)],[])).
% 16.33/11.54 tff(26279,plain,
% 16.33/11.54 ((~![B: $i] : ((~less_3(B)) | (v130(constB183, B) <=> b110(B)))) | ((~less_3(bitIndex0)) | (v130(constB183, bitIndex0) <=> b110(bitIndex0)))),
% 16.33/11.54 inference(quant_inst,[status(thm)],[])).
% 16.33/11.54 tff(26280,plain,
% 16.33/11.54 ((~![B: $i] : ((~less_3(B)) | (v130(constB183, B) <=> b110(B)))) | (~less_3(bitIndex0)) | (v130(constB183, bitIndex0) <=> b110(bitIndex0))),
% 16.33/11.54 inference(modus_ponens,[status(thm)],[26279, 26278])).
% 16.33/11.54 tff(26281,plain,
% 16.33/11.54 (v130(constB183, bitIndex0) <=> b110(bitIndex0)),
% 16.33/11.54 inference(unit_resolution,[status(thm)],[26280, 5004, 26246])).
% 16.33/11.54 tff(26282,plain,
% 16.33/11.54 ((~(v130(constB183, bitIndex0) <=> b110(bitIndex0))) | (~v130(constB183, bitIndex0)) | b110(bitIndex0)),
% 16.33/11.54 inference(tautology,[status(thm)],[])).
% 16.33/11.54 tff(26283,plain,
% 16.33/11.54 ((~(v130(constB183, bitIndex0) <=> b110(bitIndex0))) | (~v130(constB183, bitIndex0))),
% 16.33/11.54 inference(unit_resolution,[status(thm)],[26282, 5415])).
% 16.33/11.54 tff(26284,plain,
% 16.33/11.54 (~v130(constB183, bitIndex0)),
% 16.33/11.54 inference(unit_resolution,[status(thm)],[26283, 26281])).
% 16.33/11.54 tff(26285,plain,
% 16.33/11.54 ((~(v127(constB183, bitIndex0) <=> v130(constB183, bitIndex0))) | (~v127(constB183, bitIndex0)) | v130(constB183, bitIndex0)),
% 16.33/11.54 inference(tautology,[status(thm)],[])).
% 16.33/11.54 tff(26286,plain,
% 16.33/11.54 (~v127(constB183, bitIndex0)),
% 16.33/11.54 inference(unit_resolution,[status(thm)],[26285, 26284, 26277])).
% 16.33/11.54 tff(26287,plain,
% 16.33/11.54 ((~(v129(constB184, bitIndex0) <=> v127(constB183, bitIndex0))) | (~v129(constB184, bitIndex0)) | v127(constB183, bitIndex0)),
% 16.33/11.54 inference(tautology,[status(thm)],[])).
% 16.33/11.54 tff(26288,plain,
% 16.33/11.54 (~v129(constB184, bitIndex0)),
% 16.33/11.54 inference(unit_resolution,[status(thm)],[26287, 26286, 26273])).
% 16.33/11.54 tff(26289,plain,
% 16.33/11.54 ((~(v90(constB184, bitIndex0) <=> v129(constB184, bitIndex0))) | (~v90(constB184, bitIndex0)) | v129(constB184, bitIndex0)),
% 16.33/11.54 inference(tautology,[status(thm)],[])).
% 16.33/11.54 tff(26290,plain,
% 16.33/11.54 (~v90(constB184, bitIndex0)),
% 16.33/11.54 inference(unit_resolution,[status(thm)],[26289, 26288, 26269])).
% 16.33/11.54 tff(26291,plain,
% 16.33/11.54 ((~(v90(constB185, bitIndex0) <=> v90(constB184, bitIndex0))) | (~v90(constB185, bitIndex0)) | v90(constB184, bitIndex0)),
% 16.33/11.54 inference(tautology,[status(thm)],[])).
% 16.33/11.54 tff(26292,plain,
% 16.33/11.54 (~v90(constB185, bitIndex0)),
% 16.33/11.54 inference(unit_resolution,[status(thm)],[26291, 26290, 26265])).
% 16.33/11.54 tff(26293,plain,
% 16.33/11.54 (((~![B: $i] : ((~less_3(B)) | (v90(constB185, B) <=> v90(constB184, B)))) | ((~less_3(bitIndex1)) | (v90(constB185, bitIndex1) <=> v90(constB184, bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v90(constB185, B) <=> v90(constB184, B)))) | (~less_3(bitIndex1)) | (v90(constB185, bitIndex1) <=> v90(constB184, bitIndex1)))),
% 16.33/11.54 inference(rewrite,[status(thm)],[])).
% 16.33/11.54 tff(26294,plain,
% 16.33/11.54 ((~![B: $i] : ((~less_3(B)) | (v90(constB185, B) <=> v90(constB184, B)))) | ((~less_3(bitIndex1)) | (v90(constB185, bitIndex1) <=> v90(constB184, bitIndex1)))),
% 16.33/11.54 inference(quant_inst,[status(thm)],[])).
% 16.33/11.54 tff(26295,plain,
% 16.33/11.54 ((~![B: $i] : ((~less_3(B)) | (v90(constB185, B) <=> v90(constB184, B)))) | (~less_3(bitIndex1)) | (v90(constB185, bitIndex1) <=> v90(constB184, bitIndex1))),
% 16.33/11.54 inference(modus_ponens,[status(thm)],[26294, 26293])).
% 16.33/11.54 tff(26296,plain,
% 16.33/11.54 (v90(constB185, bitIndex1) <=> v90(constB184, bitIndex1)),
% 16.33/11.54 inference(unit_resolution,[status(thm)],[26295, 5017, 24320])).
% 16.33/11.54 tff(26297,plain,
% 16.33/11.54 (((~![B: $i] : ((~less_3(B)) | (v90(constB184, B) <=> v129(constB184, B)))) | ((~less_3(bitIndex1)) | (v90(constB184, bitIndex1) <=> v129(constB184, bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v90(constB184, B) <=> v129(constB184, B)))) | (~less_3(bitIndex1)) | (v90(constB184, bitIndex1) <=> v129(constB184, bitIndex1)))),
% 16.33/11.54 inference(rewrite,[status(thm)],[])).
% 16.33/11.54 tff(26298,plain,
% 16.33/11.54 ((~![B: $i] : ((~less_3(B)) | (v90(constB184, B) <=> v129(constB184, B)))) | ((~less_3(bitIndex1)) | (v90(constB184, bitIndex1) <=> v129(constB184, bitIndex1)))),
% 16.33/11.54 inference(quant_inst,[status(thm)],[])).
% 16.33/11.54 tff(26299,plain,
% 16.33/11.54 ((~![B: $i] : ((~less_3(B)) | (v90(constB184, B) <=> v129(constB184, B)))) | (~less_3(bitIndex1)) | (v90(constB184, bitIndex1) <=> v129(constB184, bitIndex1))),
% 16.33/11.54 inference(modus_ponens,[status(thm)],[26298, 26297])).
% 16.33/11.54 tff(26300,plain,
% 16.33/11.54 (v90(constB184, bitIndex1) <=> v129(constB184, bitIndex1)),
% 16.33/11.54 inference(unit_resolution,[status(thm)],[26299, 5017, 26221])).
% 16.33/11.54 tff(26301,plain,
% 16.33/11.54 (((~![B: $i] : ((~less_3(B)) | (v129(constB184, B) <=> v127(constB183, B)))) | ((~less_3(bitIndex1)) | (v129(constB184, bitIndex1) <=> v127(constB183, bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v129(constB184, B) <=> v127(constB183, B)))) | (~less_3(bitIndex1)) | (v129(constB184, bitIndex1) <=> v127(constB183, bitIndex1)))),
% 16.33/11.54 inference(rewrite,[status(thm)],[])).
% 16.33/11.54 tff(26302,plain,
% 16.33/11.54 ((~![B: $i] : ((~less_3(B)) | (v129(constB184, B) <=> v127(constB183, B)))) | ((~less_3(bitIndex1)) | (v129(constB184, bitIndex1) <=> v127(constB183, bitIndex1)))),
% 16.33/11.54 inference(quant_inst,[status(thm)],[])).
% 16.33/11.54 tff(26303,plain,
% 16.33/11.54 ((~![B: $i] : ((~less_3(B)) | (v129(constB184, B) <=> v127(constB183, B)))) | (~less_3(bitIndex1)) | (v129(constB184, bitIndex1) <=> v127(constB183, bitIndex1))),
% 16.33/11.54 inference(modus_ponens,[status(thm)],[26302, 26301])).
% 16.33/11.54 tff(26304,plain,
% 16.33/11.54 (v129(constB184, bitIndex1) <=> v127(constB183, bitIndex1)),
% 16.33/11.54 inference(unit_resolution,[status(thm)],[26303, 5017, 26229])).
% 16.33/11.54 tff(26305,plain,
% 16.33/11.54 (((~![B: $i] : ((~less_3(B)) | (v127(constB183, B) <=> v130(constB183, B)))) | ((~less_3(bitIndex1)) | (v127(constB183, bitIndex1) <=> v130(constB183, bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v127(constB183, B) <=> v130(constB183, B)))) | (~less_3(bitIndex1)) | (v127(constB183, bitIndex1) <=> v130(constB183, bitIndex1)))),
% 16.33/11.54 inference(rewrite,[status(thm)],[])).
% 16.33/11.54 tff(26306,plain,
% 16.33/11.54 ((~![B: $i] : ((~less_3(B)) | (v127(constB183, B) <=> v130(constB183, B)))) | ((~less_3(bitIndex1)) | (v127(constB183, bitIndex1) <=> v130(constB183, bitIndex1)))),
% 16.33/11.54 inference(quant_inst,[status(thm)],[])).
% 16.33/11.54 tff(26307,plain,
% 16.33/11.54 ((~![B: $i] : ((~less_3(B)) | (v127(constB183, B) <=> v130(constB183, B)))) | (~less_3(bitIndex1)) | (v127(constB183, bitIndex1) <=> v130(constB183, bitIndex1))),
% 16.33/11.54 inference(modus_ponens,[status(thm)],[26306, 26305])).
% 16.33/11.54 tff(26308,plain,
% 16.33/11.54 (v127(constB183, bitIndex1) <=> v130(constB183, bitIndex1)),
% 16.33/11.54 inference(unit_resolution,[status(thm)],[26307, 5017, 26237])).
% 16.33/11.54 tff(26309,plain,
% 16.33/11.54 (((~![B: $i] : ((~less_3(B)) | (v130(constB183, B) <=> b110(B)))) | ((~less_3(bitIndex1)) | (v130(constB183, bitIndex1) <=> b110(bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v130(constB183, B) <=> b110(B)))) | (~less_3(bitIndex1)) | (v130(constB183, bitIndex1) <=> b110(bitIndex1)))),
% 16.33/11.54 inference(rewrite,[status(thm)],[])).
% 16.33/11.54 tff(26310,plain,
% 16.33/11.54 ((~![B: $i] : ((~less_3(B)) | (v130(constB183, B) <=> b110(B)))) | ((~less_3(bitIndex1)) | (v130(constB183, bitIndex1) <=> b110(bitIndex1)))),
% 16.33/11.54 inference(quant_inst,[status(thm)],[])).
% 16.33/11.54 tff(26311,plain,
% 16.33/11.54 ((~![B: $i] : ((~less_3(B)) | (v130(constB183, B) <=> b110(B)))) | (~less_3(bitIndex1)) | (v130(constB183, bitIndex1) <=> b110(bitIndex1))),
% 16.33/11.54 inference(modus_ponens,[status(thm)],[26310, 26309])).
% 16.33/11.54 tff(26312,plain,
% 16.33/11.54 (v130(constB183, bitIndex1) <=> b110(bitIndex1)),
% 16.33/11.54 inference(unit_resolution,[status(thm)],[26311, 5017, 26246])).
% 16.33/11.55 tff(26313,plain,
% 16.33/11.55 ((~(v130(constB183, bitIndex1) <=> b110(bitIndex1))) | v130(constB183, bitIndex1) | (~b110(bitIndex1))),
% 16.33/11.55 inference(tautology,[status(thm)],[])).
% 16.33/11.55 tff(26314,plain,
% 16.33/11.55 ((~(v130(constB183, bitIndex1) <=> b110(bitIndex1))) | v130(constB183, bitIndex1)),
% 16.33/11.55 inference(unit_resolution,[status(thm)],[26313, 5449])).
% 16.33/11.55 tff(26315,plain,
% 16.33/11.55 (v130(constB183, bitIndex1)),
% 16.33/11.55 inference(unit_resolution,[status(thm)],[26314, 26312])).
% 16.33/11.55 tff(26316,plain,
% 16.33/11.55 ((~(v127(constB183, bitIndex1) <=> v130(constB183, bitIndex1))) | v127(constB183, bitIndex1) | (~v130(constB183, bitIndex1))),
% 16.33/11.55 inference(tautology,[status(thm)],[])).
% 16.33/11.55 tff(26317,plain,
% 16.33/11.55 (v127(constB183, bitIndex1)),
% 16.33/11.55 inference(unit_resolution,[status(thm)],[26316, 26315, 26308])).
% 16.33/11.55 tff(26318,plain,
% 16.33/11.55 ((~(v129(constB184, bitIndex1) <=> v127(constB183, bitIndex1))) | v129(constB184, bitIndex1) | (~v127(constB183, bitIndex1))),
% 16.33/11.55 inference(tautology,[status(thm)],[])).
% 16.33/11.55 tff(26319,plain,
% 16.33/11.55 (v129(constB184, bitIndex1)),
% 16.33/11.55 inference(unit_resolution,[status(thm)],[26318, 26317, 26304])).
% 16.33/11.55 tff(26320,plain,
% 16.33/11.55 ((~(v90(constB184, bitIndex1) <=> v129(constB184, bitIndex1))) | v90(constB184, bitIndex1) | (~v129(constB184, bitIndex1))),
% 16.33/11.55 inference(tautology,[status(thm)],[])).
% 16.33/11.55 tff(26321,plain,
% 16.33/11.55 (v90(constB184, bitIndex1)),
% 16.33/11.55 inference(unit_resolution,[status(thm)],[26320, 26319, 26300])).
% 16.33/11.55 tff(26322,plain,
% 16.33/11.55 ((~(v90(constB185, bitIndex1) <=> v90(constB184, bitIndex1))) | v90(constB185, bitIndex1) | (~v90(constB184, bitIndex1))),
% 16.33/11.55 inference(tautology,[status(thm)],[])).
% 16.33/11.55 tff(26323,plain,
% 16.33/11.55 (v90(constB185, bitIndex1)),
% 16.33/11.55 inference(unit_resolution,[status(thm)],[26322, 26321, 26296])).
% 16.33/11.55 tff(26324,plain,
% 16.33/11.55 ((~((~v90(constB185, bitIndex2)) | (~v90(constB185, bitIndex1)) | v90(constB185, bitIndex0))) | (~v90(constB185, bitIndex2)) | (~v90(constB185, bitIndex1)) | v90(constB185, bitIndex0)),
% 16.33/11.55 inference(tautology,[status(thm)],[])).
% 16.33/11.55 tff(26325,plain,
% 16.33/11.55 (~((~v90(constB185, bitIndex2)) | (~v90(constB185, bitIndex1)) | v90(constB185, bitIndex0))),
% 16.33/11.55 inference(unit_resolution,[status(thm)],[26324, 26323, 26292, 26261])).
% 16.33/11.55 tff(26326,plain,
% 16.33/11.55 ((~(v125(constB185) <=> (~((~v90(constB185, bitIndex2)) | (~v90(constB185, bitIndex1)) | v90(constB185, bitIndex0))))) | v125(constB185) | ((~v90(constB185, bitIndex2)) | (~v90(constB185, bitIndex1)) | v90(constB185, bitIndex0))),
% 16.33/11.55 inference(tautology,[status(thm)],[])).
% 16.33/11.55 tff(26327,plain,
% 16.33/11.55 (v125(constB185)),
% 16.33/11.55 inference(unit_resolution,[status(thm)],[26326, 26325, 24292])).
% 16.33/11.55 tff(26328,plain,
% 16.33/11.55 ((v114(constB185) | v125(constB185)) | (~v125(constB185))),
% 16.33/11.55 inference(tautology,[status(thm)],[])).
% 16.33/11.55 tff(26329,plain,
% 16.33/11.55 (v114(constB185) | v125(constB185)),
% 16.33/11.55 inference(unit_resolution,[status(thm)],[26328, 26327])).
% 16.33/11.55 tff(26330,plain,
% 16.33/11.55 ((~(v113(constB185) <=> (v114(constB185) | v125(constB185)))) | v113(constB185) | (~(v114(constB185) | v125(constB185)))),
% 16.33/11.55 inference(tautology,[status(thm)],[])).
% 16.33/11.55 tff(26331,plain,
% 16.33/11.55 (v113(constB185)),
% 16.33/11.55 inference(unit_resolution,[status(thm)],[26330, 26329, 24285])).
% 16.33/11.55 tff(26332,plain,
% 16.33/11.55 ((~![VarCurr: $i] : ((~v126(VarCurr)) <=> v111(VarCurr))) | ((~v126(constB185)) <=> v111(constB185))),
% 16.33/11.55 inference(quant_inst,[status(thm)],[])).
% 16.33/11.55 tff(26333,plain,
% 16.33/11.55 ((~v126(constB185)) <=> v111(constB185)),
% 16.33/11.55 inference(unit_resolution,[status(thm)],[26332, 5074])).
% 16.33/11.55 tff(26334,plain,
% 16.33/11.55 ((~![VarCurr: $i] : (v111(VarCurr) <=> v26(VarCurr))) | (v111(constB185) <=> v26(constB185))),
% 16.33/11.55 inference(quant_inst,[status(thm)],[])).
% 16.33/11.55 tff(26335,plain,
% 16.33/11.55 (v111(constB185) <=> v26(constB185)),
% 16.33/11.55 inference(unit_resolution,[status(thm)],[26334, 5086])).
% 16.33/11.55 tff(26336,plain,
% 16.33/11.55 ((~![VarCurr: $i] : (~v26(VarCurr))) | (~v26(constB185))),
% 16.33/11.55 inference(quant_inst,[status(thm)],[])).
% 16.33/11.55 tff(26337,plain,
% 16.33/11.55 (~v26(constB185)),
% 16.33/11.55 inference(unit_resolution,[status(thm)],[26336, 5098])).
% 16.33/11.55 tff(26338,plain,
% 16.33/11.55 ((~(v111(constB185) <=> v26(constB185))) | (~v111(constB185)) | v26(constB185)),
% 16.33/11.55 inference(tautology,[status(thm)],[])).
% 16.33/11.55 tff(26339,plain,
% 16.33/11.55 ((~(v111(constB185) <=> v26(constB185))) | (~v111(constB185))),
% 16.33/11.55 inference(unit_resolution,[status(thm)],[26338, 26337])).
% 16.33/11.55 tff(26340,plain,
% 16.33/11.55 (~v111(constB185)),
% 16.33/11.55 inference(unit_resolution,[status(thm)],[26339, 26335])).
% 16.33/11.55 tff(26341,plain,
% 16.33/11.55 ((~((~v126(constB185)) <=> v111(constB185))) | v126(constB185) | v111(constB185)),
% 16.33/11.55 inference(tautology,[status(thm)],[])).
% 16.33/11.55 tff(26342,plain,
% 16.33/11.55 ((~((~v126(constB185)) <=> v111(constB185))) | v126(constB185)),
% 16.33/11.55 inference(unit_resolution,[status(thm)],[26341, 26340])).
% 16.33/11.55 tff(26343,plain,
% 16.33/11.55 (v126(constB185)),
% 16.33/11.55 inference(unit_resolution,[status(thm)],[26342, 26333])).
% 16.33/11.55 tff(26344,plain,
% 16.33/11.55 ((~((~v113(constB185)) | (~v126(constB185)))) | (~v113(constB185)) | (~v126(constB185))),
% 16.33/11.55 inference(tautology,[status(thm)],[])).
% 16.33/11.55 tff(26345,plain,
% 16.33/11.55 ((~((~v113(constB185)) | (~v126(constB185)))) | (~v113(constB185))),
% 16.33/11.55 inference(unit_resolution,[status(thm)],[26344, 26343])).
% 16.33/11.55 tff(26346,plain,
% 16.33/11.55 (~((~v113(constB185)) | (~v126(constB185)))),
% 16.33/11.55 inference(unit_resolution,[status(thm)],[26345, 26331])).
% 16.33/11.55 tff(26347,plain,
% 16.33/11.55 ((~(v112(constB185) <=> (~((~v113(constB185)) | (~v126(constB185)))))) | v112(constB185) | ((~v113(constB185)) | (~v126(constB185)))),
% 16.33/11.55 inference(tautology,[status(thm)],[])).
% 16.33/11.55 tff(26348,plain,
% 16.33/11.55 (v112(constB185)),
% 16.33/11.55 inference(unit_resolution,[status(thm)],[26347, 26346, 24283])).
% 16.33/11.55 tff(26349,plain,
% 16.33/11.55 ((v111(constB185) | v112(constB185)) | (~v112(constB185))),
% 16.33/11.55 inference(tautology,[status(thm)],[])).
% 16.33/11.55 tff(26350,plain,
% 16.33/11.55 (v111(constB185) | v112(constB185)),
% 16.33/11.55 inference(unit_resolution,[status(thm)],[26349, 26348])).
% 16.33/11.55 tff(26351,plain,
% 16.33/11.55 ((~(v108(constB185) <=> (v111(constB185) | v112(constB185)))) | v108(constB185) | (~(v111(constB185) | v112(constB185)))),
% 16.33/11.55 inference(tautology,[status(thm)],[])).
% 16.33/11.55 tff(26352,plain,
% 16.33/11.55 (v108(constB185)),
% 16.33/11.55 inference(unit_resolution,[status(thm)],[26351, 26350, 24281])).
% 16.33/11.55 tff(26353,plain,
% 16.33/11.55 ((~(v110(constB186) <=> v108(constB185))) | v110(constB186) | (~v108(constB185))),
% 16.33/11.55 inference(tautology,[status(thm)],[])).
% 16.33/11.55 tff(26354,plain,
% 16.33/11.55 (v110(constB186)),
% 16.33/11.55 inference(unit_resolution,[status(thm)],[26353, 26352, 24279])).
% 16.33/11.55 tff(26355,plain,
% 16.33/11.55 ((~((~v101(constB186)) | (~v110(constB186)))) | (~v101(constB186)) | (~v110(constB186))),
% 16.33/11.55 inference(tautology,[status(thm)],[])).
% 16.33/11.55 tff(26356,plain,
% 16.33/11.55 (~((~v101(constB186)) | (~v110(constB186)))),
% 16.33/11.55 inference(unit_resolution,[status(thm)],[26355, 26354, 24275])).
% 16.33/11.55 tff(26357,plain,
% 16.33/11.55 ((~(v100(constB186) <=> (~((~v101(constB186)) | (~v110(constB186)))))) | v100(constB186) | ((~v101(constB186)) | (~v110(constB186)))),
% 16.33/11.55 inference(tautology,[status(thm)],[])).
% 16.33/11.55 tff(26358,plain,
% 16.33/11.55 (v100(constB186)),
% 16.33/11.55 inference(unit_resolution,[status(thm)],[26357, 26356, 24244])).
% 16.33/11.55 tff(26359,plain,
% 16.33/11.55 (((~![VarNext: $i] : ((~v100(VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v129(VarNext, B))))) | ((~v100(constB186)) | ![B: $i] : ((~less_3(B)) | (v90(constB186, B) <=> v129(constB186, B))))) <=> ((~![VarNext: $i] : ((~v100(VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v129(VarNext, B))))) | (~v100(constB186)) | ![B: $i] : ((~less_3(B)) | (v90(constB186, B) <=> v129(constB186, B))))),
% 16.33/11.55 inference(rewrite,[status(thm)],[])).
% 16.33/11.55 tff(26360,plain,
% 16.33/11.55 ((~![VarNext: $i] : ((~v100(VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v129(VarNext, B))))) | ((~v100(constB186)) | ![B: $i] : ((~less_3(B)) | (v90(constB186, B) <=> v129(constB186, B))))),
% 16.33/11.55 inference(quant_inst,[status(thm)],[])).
% 16.33/11.55 tff(26361,plain,
% 16.33/11.55 ((~![VarNext: $i] : ((~v100(VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v129(VarNext, B))))) | (~v100(constB186)) | ![B: $i] : ((~less_3(B)) | (v90(constB186, B) <=> v129(constB186, B)))),
% 16.33/11.55 inference(modus_ponens,[status(thm)],[26360, 26359])).
% 16.33/11.55 tff(26362,plain,
% 16.33/11.55 ((~v100(constB186)) | ![B: $i] : ((~less_3(B)) | (v90(constB186, B) <=> v129(constB186, B)))),
% 16.33/11.55 inference(unit_resolution,[status(thm)],[26361, 5134])).
% 16.33/11.55 tff(26363,plain,
% 16.33/11.55 (![B: $i] : ((~less_3(B)) | (v90(constB186, B) <=> v129(constB186, B)))),
% 16.33/11.55 inference(unit_resolution,[status(thm)],[26362, 26358])).
% 16.33/11.55 tff(26364,plain,
% 16.33/11.55 (((~![B: $i] : ((~less_3(B)) | (v90(constB186, B) <=> v129(constB186, B)))) | ((~less_3(bitIndex2)) | (v90(constB186, bitIndex2) <=> v129(constB186, bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v90(constB186, B) <=> v129(constB186, B)))) | (~less_3(bitIndex2)) | (v90(constB186, bitIndex2) <=> v129(constB186, bitIndex2)))),
% 16.33/11.55 inference(rewrite,[status(thm)],[])).
% 16.33/11.55 tff(26365,plain,
% 16.33/11.55 ((~![B: $i] : ((~less_3(B)) | (v90(constB186, B) <=> v129(constB186, B)))) | ((~less_3(bitIndex2)) | (v90(constB186, bitIndex2) <=> v129(constB186, bitIndex2)))),
% 16.33/11.55 inference(quant_inst,[status(thm)],[])).
% 16.33/11.55 tff(26366,plain,
% 16.33/11.55 ((~![B: $i] : ((~less_3(B)) | (v90(constB186, B) <=> v129(constB186, B)))) | (~less_3(bitIndex2)) | (v90(constB186, bitIndex2) <=> v129(constB186, bitIndex2))),
% 16.33/11.55 inference(modus_ponens,[status(thm)],[26365, 26364])).
% 16.33/11.55 tff(26367,plain,
% 16.33/11.55 (v90(constB186, bitIndex2) <=> v129(constB186, bitIndex2)),
% 16.33/11.55 inference(unit_resolution,[status(thm)],[26366, 413, 26363])).
% 16.33/11.55 tff(26368,plain,
% 16.33/11.55 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v129(VarNext, B) <=> v127(VarCurr, B))))) | ((~nextState(constB185, constB186)) | ![B: $i] : ((~less_3(B)) | (v129(constB186, B) <=> v127(constB185, B))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v129(VarNext, B) <=> v127(VarCurr, B))))) | (~nextState(constB185, constB186)) | ![B: $i] : ((~less_3(B)) | (v129(constB186, B) <=> v127(constB185, B))))),
% 16.33/11.55 inference(rewrite,[status(thm)],[])).
% 16.33/11.55 tff(26369,plain,
% 16.33/11.55 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v129(VarNext, B) <=> v127(VarCurr, B))))) | ((~nextState(constB185, constB186)) | ![B: $i] : ((~less_3(B)) | (v129(constB186, B) <=> v127(constB185, B))))),
% 16.33/11.55 inference(quant_inst,[status(thm)],[])).
% 16.33/11.55 tff(26370,plain,
% 16.33/11.55 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v129(VarNext, B) <=> v127(VarCurr, B))))) | (~nextState(constB185, constB186)) | ![B: $i] : ((~less_3(B)) | (v129(constB186, B) <=> v127(constB185, B)))),
% 16.33/11.55 inference(modus_ponens,[status(thm)],[26369, 26368])).
% 16.33/11.55 tff(26371,plain,
% 16.33/11.55 (![B: $i] : ((~less_3(B)) | (v129(constB186, B) <=> v127(constB185, B)))),
% 16.33/11.55 inference(unit_resolution,[status(thm)],[26370, 24240, 5156])).
% 16.33/11.55 tff(26372,plain,
% 16.33/11.55 (((~![B: $i] : ((~less_3(B)) | (v129(constB186, B) <=> v127(constB185, B)))) | ((~less_3(bitIndex2)) | (v129(constB186, bitIndex2) <=> v127(constB185, bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v129(constB186, B) <=> v127(constB185, B)))) | (~less_3(bitIndex2)) | (v129(constB186, bitIndex2) <=> v127(constB185, bitIndex2)))),
% 16.33/11.55 inference(rewrite,[status(thm)],[])).
% 16.33/11.55 tff(26373,plain,
% 16.33/11.55 ((~![B: $i] : ((~less_3(B)) | (v129(constB186, B) <=> v127(constB185, B)))) | ((~less_3(bitIndex2)) | (v129(constB186, bitIndex2) <=> v127(constB185, bitIndex2)))),
% 16.33/11.55 inference(quant_inst,[status(thm)],[])).
% 16.33/11.55 tff(26374,plain,
% 16.33/11.55 ((~![B: $i] : ((~less_3(B)) | (v129(constB186, B) <=> v127(constB185, B)))) | (~less_3(bitIndex2)) | (v129(constB186, bitIndex2) <=> v127(constB185, bitIndex2))),
% 16.33/11.55 inference(modus_ponens,[status(thm)],[26373, 26372])).
% 16.33/11.55 tff(26375,plain,
% 16.33/11.55 (v129(constB186, bitIndex2) <=> v127(constB185, bitIndex2)),
% 16.33/11.55 inference(unit_resolution,[status(thm)],[26374, 413, 26371])).
% 16.33/11.55 tff(26376,plain,
% 16.33/11.55 (((~![VarCurr: $i] : (v111(VarCurr) | ![B: $i] : ((~less_3(B)) | (v127(VarCurr, B) <=> v130(VarCurr, B))))) | (v111(constB185) | ![B: $i] : ((~less_3(B)) | (v127(constB185, B) <=> v130(constB185, B))))) <=> ((~![VarCurr: $i] : (v111(VarCurr) | ![B: $i] : ((~less_3(B)) | (v127(VarCurr, B) <=> v130(VarCurr, B))))) | v111(constB185) | ![B: $i] : ((~less_3(B)) | (v127(constB185, B) <=> v130(constB185, B))))),
% 16.33/11.55 inference(rewrite,[status(thm)],[])).
% 16.33/11.55 tff(26377,plain,
% 16.33/11.55 ((~![VarCurr: $i] : (v111(VarCurr) | ![B: $i] : ((~less_3(B)) | (v127(VarCurr, B) <=> v130(VarCurr, B))))) | (v111(constB185) | ![B: $i] : ((~less_3(B)) | (v127(constB185, B) <=> v130(constB185, B))))),
% 16.33/11.55 inference(quant_inst,[status(thm)],[])).
% 16.33/11.55 tff(26378,plain,
% 16.33/11.55 ((~![VarCurr: $i] : (v111(VarCurr) | ![B: $i] : ((~less_3(B)) | (v127(VarCurr, B) <=> v130(VarCurr, B))))) | v111(constB185) | ![B: $i] : ((~less_3(B)) | (v127(constB185, B) <=> v130(constB185, B)))),
% 16.33/11.55 inference(modus_ponens,[status(thm)],[26377, 26376])).
% 16.33/11.55 tff(26379,plain,
% 16.33/11.55 (![B: $i] : ((~less_3(B)) | (v127(constB185, B) <=> v130(constB185, B)))),
% 16.33/11.55 inference(unit_resolution,[status(thm)],[26378, 5177, 26340])).
% 16.33/11.55 tff(26380,plain,
% 16.33/11.55 (((~![B: $i] : ((~less_3(B)) | (v127(constB185, B) <=> v130(constB185, B)))) | ((~less_3(bitIndex2)) | (v127(constB185, bitIndex2) <=> v130(constB185, bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v127(constB185, B) <=> v130(constB185, B)))) | (~less_3(bitIndex2)) | (v127(constB185, bitIndex2) <=> v130(constB185, bitIndex2)))),
% 16.33/11.55 inference(rewrite,[status(thm)],[])).
% 16.33/11.55 tff(26381,plain,
% 16.33/11.55 ((~![B: $i] : ((~less_3(B)) | (v127(constB185, B) <=> v130(constB185, B)))) | ((~less_3(bitIndex2)) | (v127(constB185, bitIndex2) <=> v130(constB185, bitIndex2)))),
% 16.33/11.55 inference(quant_inst,[status(thm)],[])).
% 16.33/11.55 tff(26382,plain,
% 16.33/11.55 ((~![B: $i] : ((~less_3(B)) | (v127(constB185, B) <=> v130(constB185, B)))) | (~less_3(bitIndex2)) | (v127(constB185, bitIndex2) <=> v130(constB185, bitIndex2))),
% 16.33/11.55 inference(modus_ponens,[status(thm)],[26381, 26380])).
% 16.33/11.55 tff(26383,plain,
% 16.33/11.55 (v127(constB185, bitIndex2) <=> v130(constB185, bitIndex2)),
% 16.33/11.55 inference(unit_resolution,[status(thm)],[26382, 413, 26379])).
% 16.33/11.55 tff(26384,plain,
% 16.33/11.55 ((~![VarCurr: $i] : (v119(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))))) | (v119(constB185) <=> (~(v90(constB185, bitIndex0) | v90(constB185, bitIndex1) | v90(constB185, bitIndex2))))),
% 16.33/11.55 inference(quant_inst,[status(thm)],[])).
% 16.33/11.55 tff(26385,plain,
% 16.33/11.55 (v119(constB185) <=> (~(v90(constB185, bitIndex0) | v90(constB185, bitIndex1) | v90(constB185, bitIndex2)))),
% 16.33/11.55 inference(unit_resolution,[status(thm)],[26384, 4971])).
% 16.33/11.55 tff(26386,plain,
% 16.33/11.55 ((v90(constB185, bitIndex0) | v90(constB185, bitIndex1) | v90(constB185, bitIndex2)) | (~v90(constB185, bitIndex2))),
% 16.33/11.55 inference(tautology,[status(thm)],[])).
% 16.33/11.55 tff(26387,plain,
% 16.33/11.55 (v90(constB185, bitIndex0) | v90(constB185, bitIndex1) | v90(constB185, bitIndex2)),
% 16.33/11.55 inference(unit_resolution,[status(thm)],[26386, 26261])).
% 16.33/11.55 tff(26388,plain,
% 16.33/11.55 ((~(v119(constB185) <=> (~(v90(constB185, bitIndex0) | v90(constB185, bitIndex1) | v90(constB185, bitIndex2))))) | (~v119(constB185)) | (~(v90(constB185, bitIndex0) | v90(constB185, bitIndex1) | v90(constB185, bitIndex2)))),
% 16.33/11.55 inference(tautology,[status(thm)],[])).
% 16.33/11.55 tff(26389,plain,
% 16.33/11.55 (~v119(constB185)),
% 16.33/11.55 inference(unit_resolution,[status(thm)],[26388, 26387, 26385])).
% 16.33/11.55 tff(26390,plain,
% 16.33/11.55 (((~![VarCurr: $i] : (v124(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex2)))))) | (v124(constB185) <=> (~((~v90(constB185, bitIndex2)) | v90(constB185, bitIndex1) | (~v90(constB185, bitIndex0)))))) <=> ((~![VarCurr: $i] : (v124(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex2)))))) | (v124(constB185) <=> (~((~v90(constB185, bitIndex2)) | v90(constB185, bitIndex1) | (~v90(constB185, bitIndex0))))))),
% 16.33/11.55 inference(rewrite,[status(thm)],[])).
% 16.33/11.55 tff(26391,plain,
% 16.33/11.55 ((v124(constB185) <=> (~(v90(constB185, bitIndex1) | (~v90(constB185, bitIndex0)) | (~v90(constB185, bitIndex2))))) <=> (v124(constB185) <=> (~((~v90(constB185, bitIndex2)) | v90(constB185, bitIndex1) | (~v90(constB185, bitIndex0)))))),
% 16.33/11.55 inference(rewrite,[status(thm)],[])).
% 16.33/11.55 tff(26392,plain,
% 16.33/11.55 (((~![VarCurr: $i] : (v124(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex2)))))) | (v124(constB185) <=> (~(v90(constB185, bitIndex1) | (~v90(constB185, bitIndex0)) | (~v90(constB185, bitIndex2)))))) <=> ((~![VarCurr: $i] : (v124(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex2)))))) | (v124(constB185) <=> (~((~v90(constB185, bitIndex2)) | v90(constB185, bitIndex1) | (~v90(constB185, bitIndex0))))))),
% 16.33/11.56 inference(monotonicity,[status(thm)],[26391])).
% 16.33/11.56 tff(26393,plain,
% 16.33/11.56 (((~![VarCurr: $i] : (v124(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex2)))))) | (v124(constB185) <=> (~(v90(constB185, bitIndex1) | (~v90(constB185, bitIndex0)) | (~v90(constB185, bitIndex2)))))) <=> ((~![VarCurr: $i] : (v124(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex2)))))) | (v124(constB185) <=> (~((~v90(constB185, bitIndex2)) | v90(constB185, bitIndex1) | (~v90(constB185, bitIndex0))))))),
% 16.33/11.56 inference(transitivity,[status(thm)],[26392, 26390])).
% 16.33/11.56 tff(26394,plain,
% 16.33/11.56 ((~![VarCurr: $i] : (v124(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex2)))))) | (v124(constB185) <=> (~(v90(constB185, bitIndex1) | (~v90(constB185, bitIndex0)) | (~v90(constB185, bitIndex2)))))),
% 16.33/11.56 inference(quant_inst,[status(thm)],[])).
% 16.33/11.56 tff(26395,plain,
% 16.33/11.56 ((~![VarCurr: $i] : (v124(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex2)))))) | (v124(constB185) <=> (~((~v90(constB185, bitIndex2)) | v90(constB185, bitIndex1) | (~v90(constB185, bitIndex0)))))),
% 16.33/11.56 inference(modus_ponens,[status(thm)],[26394, 26393])).
% 16.33/11.56 tff(26396,plain,
% 16.33/11.56 (v124(constB185) <=> (~((~v90(constB185, bitIndex2)) | v90(constB185, bitIndex1) | (~v90(constB185, bitIndex0))))),
% 16.33/11.56 inference(unit_resolution,[status(thm)],[26395, 5539])).
% 16.33/11.56 tff(26397,plain,
% 16.33/11.56 (((~v90(constB185, bitIndex2)) | v90(constB185, bitIndex1) | (~v90(constB185, bitIndex0))) | (~v90(constB185, bitIndex1))),
% 16.33/11.56 inference(tautology,[status(thm)],[])).
% 16.33/11.56 tff(26398,plain,
% 16.33/11.56 ((~v90(constB185, bitIndex2)) | v90(constB185, bitIndex1) | (~v90(constB185, bitIndex0))),
% 16.33/11.56 inference(unit_resolution,[status(thm)],[26397, 26323])).
% 16.33/11.56 tff(26399,plain,
% 16.33/11.56 ((~(v124(constB185) <=> (~((~v90(constB185, bitIndex2)) | v90(constB185, bitIndex1) | (~v90(constB185, bitIndex0)))))) | (~v124(constB185)) | (~((~v90(constB185, bitIndex2)) | v90(constB185, bitIndex1) | (~v90(constB185, bitIndex0))))),
% 16.33/11.56 inference(tautology,[status(thm)],[])).
% 16.33/11.56 tff(26400,plain,
% 16.33/11.56 (~v124(constB185)),
% 16.33/11.56 inference(unit_resolution,[status(thm)],[26399, 26398, 26396])).
% 16.33/11.56 tff(26401,plain,
% 16.33/11.56 (((~![VarCurr: $i] : (v123(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)))))) | (v123(constB185) <=> (~((~v90(constB185, bitIndex2)) | v90(constB185, bitIndex1) | v90(constB185, bitIndex0))))) <=> ((~![VarCurr: $i] : (v123(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)))))) | (v123(constB185) <=> (~((~v90(constB185, bitIndex2)) | v90(constB185, bitIndex1) | v90(constB185, bitIndex0)))))),
% 16.33/11.56 inference(rewrite,[status(thm)],[])).
% 16.33/11.56 tff(26402,plain,
% 16.33/11.56 ((v123(constB185) <=> (~(v90(constB185, bitIndex0) | v90(constB185, bitIndex1) | (~v90(constB185, bitIndex2))))) <=> (v123(constB185) <=> (~((~v90(constB185, bitIndex2)) | v90(constB185, bitIndex1) | v90(constB185, bitIndex0))))),
% 16.33/11.56 inference(rewrite,[status(thm)],[])).
% 16.33/11.56 tff(26403,plain,
% 16.33/11.56 (((~![VarCurr: $i] : (v123(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)))))) | (v123(constB185) <=> (~(v90(constB185, bitIndex0) | v90(constB185, bitIndex1) | (~v90(constB185, bitIndex2)))))) <=> ((~![VarCurr: $i] : (v123(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)))))) | (v123(constB185) <=> (~((~v90(constB185, bitIndex2)) | v90(constB185, bitIndex1) | v90(constB185, bitIndex0)))))),
% 16.33/11.56 inference(monotonicity,[status(thm)],[26402])).
% 16.33/11.56 tff(26404,plain,
% 16.33/11.56 (((~![VarCurr: $i] : (v123(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)))))) | (v123(constB185) <=> (~(v90(constB185, bitIndex0) | v90(constB185, bitIndex1) | (~v90(constB185, bitIndex2)))))) <=> ((~![VarCurr: $i] : (v123(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)))))) | (v123(constB185) <=> (~((~v90(constB185, bitIndex2)) | v90(constB185, bitIndex1) | v90(constB185, bitIndex0)))))),
% 16.33/11.56 inference(transitivity,[status(thm)],[26403, 26401])).
% 16.33/11.56 tff(26405,plain,
% 16.33/11.56 ((~![VarCurr: $i] : (v123(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)))))) | (v123(constB185) <=> (~(v90(constB185, bitIndex0) | v90(constB185, bitIndex1) | (~v90(constB185, bitIndex2)))))),
% 16.33/11.56 inference(quant_inst,[status(thm)],[])).
% 16.33/11.56 tff(26406,plain,
% 16.33/11.56 ((~![VarCurr: $i] : (v123(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)))))) | (v123(constB185) <=> (~((~v90(constB185, bitIndex2)) | v90(constB185, bitIndex1) | v90(constB185, bitIndex0))))),
% 16.33/11.56 inference(modus_ponens,[status(thm)],[26405, 26404])).
% 16.33/11.56 tff(26407,plain,
% 16.33/11.56 (v123(constB185) <=> (~((~v90(constB185, bitIndex2)) | v90(constB185, bitIndex1) | v90(constB185, bitIndex0)))),
% 16.33/11.56 inference(unit_resolution,[status(thm)],[26406, 621])).
% 16.33/11.56 tff(26408,plain,
% 16.33/11.56 (((~v90(constB185, bitIndex2)) | v90(constB185, bitIndex1) | v90(constB185, bitIndex0)) | (~v90(constB185, bitIndex1))),
% 16.33/11.56 inference(tautology,[status(thm)],[])).
% 16.33/11.56 tff(26409,plain,
% 16.33/11.56 ((~v90(constB185, bitIndex2)) | v90(constB185, bitIndex1) | v90(constB185, bitIndex0)),
% 16.33/11.56 inference(unit_resolution,[status(thm)],[26408, 26323])).
% 16.33/11.56 tff(26410,plain,
% 16.33/11.56 ((~(v123(constB185) <=> (~((~v90(constB185, bitIndex2)) | v90(constB185, bitIndex1) | v90(constB185, bitIndex0))))) | (~v123(constB185)) | (~((~v90(constB185, bitIndex2)) | v90(constB185, bitIndex1) | v90(constB185, bitIndex0)))),
% 16.33/11.56 inference(tautology,[status(thm)],[])).
% 16.33/11.56 tff(26411,plain,
% 16.33/11.56 (~v123(constB185)),
% 16.33/11.56 inference(unit_resolution,[status(thm)],[26410, 26409, 26407])).
% 16.33/11.56 tff(26412,plain,
% 16.33/11.56 (((~![VarCurr: $i] : (v122(VarCurr) <=> (~(v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)))))) | (v122(constB185) <=> (~(v90(constB185, bitIndex2) | (~v90(constB185, bitIndex1)) | (~v90(constB185, bitIndex0)))))) <=> ((~![VarCurr: $i] : (v122(VarCurr) <=> (~(v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)))))) | (v122(constB185) <=> (~(v90(constB185, bitIndex2) | (~v90(constB185, bitIndex1)) | (~v90(constB185, bitIndex0))))))),
% 16.33/11.56 inference(rewrite,[status(thm)],[])).
% 16.33/11.56 tff(26413,plain,
% 16.33/11.56 ((v122(constB185) <=> (~(v90(constB185, bitIndex2) | (~v90(constB185, bitIndex0)) | (~v90(constB185, bitIndex1))))) <=> (v122(constB185) <=> (~(v90(constB185, bitIndex2) | (~v90(constB185, bitIndex1)) | (~v90(constB185, bitIndex0)))))),
% 16.33/11.56 inference(rewrite,[status(thm)],[])).
% 16.33/11.56 tff(26414,plain,
% 16.33/11.56 (((~![VarCurr: $i] : (v122(VarCurr) <=> (~(v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)))))) | (v122(constB185) <=> (~(v90(constB185, bitIndex2) | (~v90(constB185, bitIndex0)) | (~v90(constB185, bitIndex1)))))) <=> ((~![VarCurr: $i] : (v122(VarCurr) <=> (~(v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)))))) | (v122(constB185) <=> (~(v90(constB185, bitIndex2) | (~v90(constB185, bitIndex1)) | (~v90(constB185, bitIndex0))))))),
% 16.33/11.56 inference(monotonicity,[status(thm)],[26413])).
% 16.33/11.56 tff(26415,plain,
% 16.33/11.56 (((~![VarCurr: $i] : (v122(VarCurr) <=> (~(v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)))))) | (v122(constB185) <=> (~(v90(constB185, bitIndex2) | (~v90(constB185, bitIndex0)) | (~v90(constB185, bitIndex1)))))) <=> ((~![VarCurr: $i] : (v122(VarCurr) <=> (~(v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)))))) | (v122(constB185) <=> (~(v90(constB185, bitIndex2) | (~v90(constB185, bitIndex1)) | (~v90(constB185, bitIndex0))))))),
% 16.33/11.56 inference(transitivity,[status(thm)],[26414, 26412])).
% 16.33/11.56 tff(26416,plain,
% 16.33/11.56 ((~![VarCurr: $i] : (v122(VarCurr) <=> (~(v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)))))) | (v122(constB185) <=> (~(v90(constB185, bitIndex2) | (~v90(constB185, bitIndex0)) | (~v90(constB185, bitIndex1)))))),
% 16.33/11.56 inference(quant_inst,[status(thm)],[])).
% 16.33/11.56 tff(26417,plain,
% 16.33/11.56 ((~![VarCurr: $i] : (v122(VarCurr) <=> (~(v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)))))) | (v122(constB185) <=> (~(v90(constB185, bitIndex2) | (~v90(constB185, bitIndex1)) | (~v90(constB185, bitIndex0)))))),
% 16.33/11.56 inference(modus_ponens,[status(thm)],[26416, 26415])).
% 16.33/11.56 tff(26418,plain,
% 16.33/11.56 (v122(constB185) <=> (~(v90(constB185, bitIndex2) | (~v90(constB185, bitIndex1)) | (~v90(constB185, bitIndex0))))),
% 16.33/11.56 inference(unit_resolution,[status(thm)],[26417, 734])).
% 16.33/11.56 tff(26419,plain,
% 16.33/11.56 ((v90(constB185, bitIndex2) | (~v90(constB185, bitIndex1)) | (~v90(constB185, bitIndex0))) | (~v90(constB185, bitIndex2))),
% 16.33/11.56 inference(tautology,[status(thm)],[])).
% 16.33/11.56 tff(26420,plain,
% 16.33/11.56 (v90(constB185, bitIndex2) | (~v90(constB185, bitIndex1)) | (~v90(constB185, bitIndex0))),
% 16.33/11.56 inference(unit_resolution,[status(thm)],[26419, 26261])).
% 16.33/11.56 tff(26421,plain,
% 16.33/11.56 ((~(v122(constB185) <=> (~(v90(constB185, bitIndex2) | (~v90(constB185, bitIndex1)) | (~v90(constB185, bitIndex0)))))) | (~v122(constB185)) | (~(v90(constB185, bitIndex2) | (~v90(constB185, bitIndex1)) | (~v90(constB185, bitIndex0))))),
% 16.33/11.56 inference(tautology,[status(thm)],[])).
% 16.33/11.56 tff(26422,plain,
% 16.33/11.56 (~v122(constB185)),
% 16.33/11.56 inference(unit_resolution,[status(thm)],[26421, 26420, 26418])).
% 16.33/11.56 tff(26423,plain,
% 16.33/11.56 (((~![VarCurr: $i] : (v121(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex1)))))) | (v121(constB185) <=> (~(v90(constB185, bitIndex2) | (~v90(constB185, bitIndex1)) | v90(constB185, bitIndex0))))) <=> ((~![VarCurr: $i] : (v121(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex1)))))) | (v121(constB185) <=> (~(v90(constB185, bitIndex2) | (~v90(constB185, bitIndex1)) | v90(constB185, bitIndex0)))))),
% 16.33/11.56 inference(rewrite,[status(thm)],[])).
% 16.33/11.56 tff(26424,plain,
% 16.33/11.56 ((v121(constB185) <=> (~(v90(constB185, bitIndex0) | v90(constB185, bitIndex2) | (~v90(constB185, bitIndex1))))) <=> (v121(constB185) <=> (~(v90(constB185, bitIndex2) | (~v90(constB185, bitIndex1)) | v90(constB185, bitIndex0))))),
% 16.33/11.56 inference(rewrite,[status(thm)],[])).
% 16.33/11.56 tff(26425,plain,
% 16.33/11.56 (((~![VarCurr: $i] : (v121(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex1)))))) | (v121(constB185) <=> (~(v90(constB185, bitIndex0) | v90(constB185, bitIndex2) | (~v90(constB185, bitIndex1)))))) <=> ((~![VarCurr: $i] : (v121(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex1)))))) | (v121(constB185) <=> (~(v90(constB185, bitIndex2) | (~v90(constB185, bitIndex1)) | v90(constB185, bitIndex0)))))),
% 16.33/11.56 inference(monotonicity,[status(thm)],[26424])).
% 16.33/11.56 tff(26426,plain,
% 16.33/11.56 (((~![VarCurr: $i] : (v121(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex1)))))) | (v121(constB185) <=> (~(v90(constB185, bitIndex0) | v90(constB185, bitIndex2) | (~v90(constB185, bitIndex1)))))) <=> ((~![VarCurr: $i] : (v121(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex1)))))) | (v121(constB185) <=> (~(v90(constB185, bitIndex2) | (~v90(constB185, bitIndex1)) | v90(constB185, bitIndex0)))))),
% 16.33/11.56 inference(transitivity,[status(thm)],[26425, 26423])).
% 16.33/11.56 tff(26427,plain,
% 16.33/11.56 ((~![VarCurr: $i] : (v121(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex1)))))) | (v121(constB185) <=> (~(v90(constB185, bitIndex0) | v90(constB185, bitIndex2) | (~v90(constB185, bitIndex1)))))),
% 16.33/11.56 inference(quant_inst,[status(thm)],[])).
% 16.33/11.56 tff(26428,plain,
% 16.33/11.56 ((~![VarCurr: $i] : (v121(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex1)))))) | (v121(constB185) <=> (~(v90(constB185, bitIndex2) | (~v90(constB185, bitIndex1)) | v90(constB185, bitIndex0))))),
% 16.33/11.56 inference(modus_ponens,[status(thm)],[26427, 26426])).
% 16.33/11.56 tff(26429,plain,
% 16.33/11.56 (v121(constB185) <=> (~(v90(constB185, bitIndex2) | (~v90(constB185, bitIndex1)) | v90(constB185, bitIndex0)))),
% 16.33/11.56 inference(unit_resolution,[status(thm)],[26428, 849])).
% 16.33/11.56 tff(26430,plain,
% 16.33/11.57 ((v90(constB185, bitIndex2) | (~v90(constB185, bitIndex1)) | v90(constB185, bitIndex0)) | (~v90(constB185, bitIndex2))),
% 16.33/11.57 inference(tautology,[status(thm)],[])).
% 16.33/11.57 tff(26431,plain,
% 16.33/11.57 (v90(constB185, bitIndex2) | (~v90(constB185, bitIndex1)) | v90(constB185, bitIndex0)),
% 16.33/11.57 inference(unit_resolution,[status(thm)],[26430, 26261])).
% 16.33/11.57 tff(26432,plain,
% 16.33/11.57 ((~(v121(constB185) <=> (~(v90(constB185, bitIndex2) | (~v90(constB185, bitIndex1)) | v90(constB185, bitIndex0))))) | (~v121(constB185)) | (~(v90(constB185, bitIndex2) | (~v90(constB185, bitIndex1)) | v90(constB185, bitIndex0)))),
% 16.33/11.57 inference(tautology,[status(thm)],[])).
% 16.33/11.57 tff(26433,plain,
% 16.33/11.57 (~v121(constB185)),
% 16.33/11.57 inference(unit_resolution,[status(thm)],[26432, 26431, 26429])).
% 16.33/11.57 tff(26434,plain,
% 16.33/11.57 (((~![VarCurr: $i] : (v120(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)))))) | (v120(constB185) <=> (~(v90(constB185, bitIndex2) | v90(constB185, bitIndex1) | (~v90(constB185, bitIndex0)))))) <=> ((~![VarCurr: $i] : (v120(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)))))) | (v120(constB185) <=> (~(v90(constB185, bitIndex2) | v90(constB185, bitIndex1) | (~v90(constB185, bitIndex0))))))),
% 16.33/11.57 inference(rewrite,[status(thm)],[])).
% 16.33/11.57 tff(26435,plain,
% 16.33/11.57 ((v120(constB185) <=> (~(v90(constB185, bitIndex1) | v90(constB185, bitIndex2) | (~v90(constB185, bitIndex0))))) <=> (v120(constB185) <=> (~(v90(constB185, bitIndex2) | v90(constB185, bitIndex1) | (~v90(constB185, bitIndex0)))))),
% 16.33/11.57 inference(rewrite,[status(thm)],[])).
% 16.33/11.57 tff(26436,plain,
% 16.33/11.57 (((~![VarCurr: $i] : (v120(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)))))) | (v120(constB185) <=> (~(v90(constB185, bitIndex1) | v90(constB185, bitIndex2) | (~v90(constB185, bitIndex0)))))) <=> ((~![VarCurr: $i] : (v120(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)))))) | (v120(constB185) <=> (~(v90(constB185, bitIndex2) | v90(constB185, bitIndex1) | (~v90(constB185, bitIndex0))))))),
% 16.33/11.57 inference(monotonicity,[status(thm)],[26435])).
% 16.33/11.57 tff(26437,plain,
% 16.33/11.57 (((~![VarCurr: $i] : (v120(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)))))) | (v120(constB185) <=> (~(v90(constB185, bitIndex1) | v90(constB185, bitIndex2) | (~v90(constB185, bitIndex0)))))) <=> ((~![VarCurr: $i] : (v120(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)))))) | (v120(constB185) <=> (~(v90(constB185, bitIndex2) | v90(constB185, bitIndex1) | (~v90(constB185, bitIndex0))))))),
% 16.33/11.57 inference(transitivity,[status(thm)],[26436, 26434])).
% 16.33/11.57 tff(26438,plain,
% 16.33/11.57 ((~![VarCurr: $i] : (v120(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)))))) | (v120(constB185) <=> (~(v90(constB185, bitIndex1) | v90(constB185, bitIndex2) | (~v90(constB185, bitIndex0)))))),
% 16.33/11.57 inference(quant_inst,[status(thm)],[])).
% 16.33/11.57 tff(26439,plain,
% 16.33/11.57 ((~![VarCurr: $i] : (v120(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)))))) | (v120(constB185) <=> (~(v90(constB185, bitIndex2) | v90(constB185, bitIndex1) | (~v90(constB185, bitIndex0)))))),
% 16.33/11.57 inference(modus_ponens,[status(thm)],[26438, 26437])).
% 16.33/11.57 tff(26440,plain,
% 16.33/11.57 (v120(constB185) <=> (~(v90(constB185, bitIndex2) | v90(constB185, bitIndex1) | (~v90(constB185, bitIndex0))))),
% 16.33/11.57 inference(unit_resolution,[status(thm)],[26439, 966])).
% 16.33/11.57 tff(26441,plain,
% 16.33/11.57 ((v90(constB185, bitIndex2) | v90(constB185, bitIndex1) | (~v90(constB185, bitIndex0))) | (~v90(constB185, bitIndex2))),
% 16.33/11.57 inference(tautology,[status(thm)],[])).
% 16.33/11.57 tff(26442,plain,
% 16.33/11.57 (v90(constB185, bitIndex2) | v90(constB185, bitIndex1) | (~v90(constB185, bitIndex0))),
% 16.33/11.57 inference(unit_resolution,[status(thm)],[26441, 26261])).
% 16.33/11.57 tff(26443,plain,
% 16.33/11.57 ((~(v120(constB185) <=> (~(v90(constB185, bitIndex2) | v90(constB185, bitIndex1) | (~v90(constB185, bitIndex0)))))) | (~v120(constB185)) | (~(v90(constB185, bitIndex2) | v90(constB185, bitIndex1) | (~v90(constB185, bitIndex0))))),
% 16.33/11.57 inference(tautology,[status(thm)],[])).
% 16.33/11.57 tff(26444,plain,
% 16.33/11.57 (~v120(constB185)),
% 16.33/11.57 inference(unit_resolution,[status(thm)],[26443, 26442, 26440])).
% 16.33/11.57 tff(26445,plain,
% 16.33/11.57 (((~![VarCurr: $i] : (v124(VarCurr) | v123(VarCurr) | v122(VarCurr) | v121(VarCurr) | v120(VarCurr) | v119(VarCurr) | ![B: $i] : ((~less_3(B)) | (v130(VarCurr, B) <=> b001(B))))) | (v119(constB185) | v120(constB185) | v121(constB185) | v122(constB185) | v123(constB185) | v124(constB185) | ![B: $i] : ((~less_3(B)) | (v130(constB185, B) <=> b001(B))))) <=> ((~![VarCurr: $i] : (v124(VarCurr) | v123(VarCurr) | v122(VarCurr) | v121(VarCurr) | v120(VarCurr) | v119(VarCurr) | ![B: $i] : ((~less_3(B)) | (v130(VarCurr, B) <=> b001(B))))) | v119(constB185) | v120(constB185) | v121(constB185) | v122(constB185) | v123(constB185) | v124(constB185) | ![B: $i] : ((~less_3(B)) | (v130(constB185, B) <=> b001(B))))),
% 16.33/11.57 inference(rewrite,[status(thm)],[])).
% 16.33/11.57 tff(26446,plain,
% 16.33/11.57 ((v124(constB185) | v123(constB185) | v122(constB185) | v121(constB185) | v120(constB185) | v119(constB185) | ![B: $i] : ((~less_3(B)) | (v130(constB185, B) <=> b001(B)))) <=> (v119(constB185) | v120(constB185) | v121(constB185) | v122(constB185) | v123(constB185) | v124(constB185) | ![B: $i] : ((~less_3(B)) | (v130(constB185, B) <=> b001(B))))),
% 16.33/11.57 inference(rewrite,[status(thm)],[])).
% 16.33/11.57 tff(26447,plain,
% 16.33/11.57 (((~![VarCurr: $i] : (v124(VarCurr) | v123(VarCurr) | v122(VarCurr) | v121(VarCurr) | v120(VarCurr) | v119(VarCurr) | ![B: $i] : ((~less_3(B)) | (v130(VarCurr, B) <=> b001(B))))) | (v124(constB185) | v123(constB185) | v122(constB185) | v121(constB185) | v120(constB185) | v119(constB185) | ![B: $i] : ((~less_3(B)) | (v130(constB185, B) <=> b001(B))))) <=> ((~![VarCurr: $i] : (v124(VarCurr) | v123(VarCurr) | v122(VarCurr) | v121(VarCurr) | v120(VarCurr) | v119(VarCurr) | ![B: $i] : ((~less_3(B)) | (v130(VarCurr, B) <=> b001(B))))) | (v119(constB185) | v120(constB185) | v121(constB185) | v122(constB185) | v123(constB185) | v124(constB185) | ![B: $i] : ((~less_3(B)) | (v130(constB185, B) <=> b001(B)))))),
% 16.33/11.57 inference(monotonicity,[status(thm)],[26446])).
% 16.33/11.57 tff(26448,plain,
% 16.33/11.57 (((~![VarCurr: $i] : (v124(VarCurr) | v123(VarCurr) | v122(VarCurr) | v121(VarCurr) | v120(VarCurr) | v119(VarCurr) | ![B: $i] : ((~less_3(B)) | (v130(VarCurr, B) <=> b001(B))))) | (v124(constB185) | v123(constB185) | v122(constB185) | v121(constB185) | v120(constB185) | v119(constB185) | ![B: $i] : ((~less_3(B)) | (v130(constB185, B) <=> b001(B))))) <=> ((~![VarCurr: $i] : (v124(VarCurr) | v123(VarCurr) | v122(VarCurr) | v121(VarCurr) | v120(VarCurr) | v119(VarCurr) | ![B: $i] : ((~less_3(B)) | (v130(VarCurr, B) <=> b001(B))))) | v119(constB185) | v120(constB185) | v121(constB185) | v122(constB185) | v123(constB185) | v124(constB185) | ![B: $i] : ((~less_3(B)) | (v130(constB185, B) <=> b001(B))))),
% 16.33/11.57 inference(transitivity,[status(thm)],[26447, 26445])).
% 16.33/11.57 tff(26449,plain,
% 16.33/11.57 ((~![VarCurr: $i] : (v124(VarCurr) | v123(VarCurr) | v122(VarCurr) | v121(VarCurr) | v120(VarCurr) | v119(VarCurr) | ![B: $i] : ((~less_3(B)) | (v130(VarCurr, B) <=> b001(B))))) | (v124(constB185) | v123(constB185) | v122(constB185) | v121(constB185) | v120(constB185) | v119(constB185) | ![B: $i] : ((~less_3(B)) | (v130(constB185, B) <=> b001(B))))),
% 16.33/11.57 inference(quant_inst,[status(thm)],[])).
% 16.33/11.57 tff(26450,plain,
% 16.33/11.57 ((~![VarCurr: $i] : (v124(VarCurr) | v123(VarCurr) | v122(VarCurr) | v121(VarCurr) | v120(VarCurr) | v119(VarCurr) | ![B: $i] : ((~less_3(B)) | (v130(VarCurr, B) <=> b001(B))))) | v119(constB185) | v120(constB185) | v121(constB185) | v122(constB185) | v123(constB185) | v124(constB185) | ![B: $i] : ((~less_3(B)) | (v130(constB185, B) <=> b001(B)))),
% 16.33/11.57 inference(modus_ponens,[status(thm)],[26449, 26448])).
% 16.33/11.57 tff(26451,plain,
% 16.33/11.57 (v119(constB185) | v120(constB185) | v121(constB185) | v122(constB185) | v123(constB185) | v124(constB185) | ![B: $i] : ((~less_3(B)) | (v130(constB185, B) <=> b001(B)))),
% 16.33/11.57 inference(unit_resolution,[status(thm)],[26450, 5610])).
% 16.33/11.57 tff(26452,plain,
% 16.33/11.57 (![B: $i] : ((~less_3(B)) | (v130(constB185, B) <=> b001(B)))),
% 16.33/11.57 inference(unit_resolution,[status(thm)],[26451, 26444, 26433, 26422, 26411, 26400, 26389])).
% 16.33/11.57 tff(26453,plain,
% 16.33/11.57 (((~![B: $i] : ((~less_3(B)) | (v130(constB185, B) <=> b001(B)))) | ((~less_3(bitIndex2)) | (v130(constB185, bitIndex2) <=> b001(bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v130(constB185, B) <=> b001(B)))) | (~less_3(bitIndex2)) | (v130(constB185, bitIndex2) <=> b001(bitIndex2)))),
% 16.33/11.57 inference(rewrite,[status(thm)],[])).
% 16.33/11.57 tff(26454,plain,
% 16.33/11.57 ((~![B: $i] : ((~less_3(B)) | (v130(constB185, B) <=> b001(B)))) | ((~less_3(bitIndex2)) | (v130(constB185, bitIndex2) <=> b001(bitIndex2)))),
% 16.33/11.57 inference(quant_inst,[status(thm)],[])).
% 16.33/11.57 tff(26455,plain,
% 16.33/11.57 ((~![B: $i] : ((~less_3(B)) | (v130(constB185, B) <=> b001(B)))) | (~less_3(bitIndex2)) | (v130(constB185, bitIndex2) <=> b001(bitIndex2))),
% 16.33/11.57 inference(modus_ponens,[status(thm)],[26454, 26453])).
% 16.33/11.57 tff(26456,plain,
% 16.33/11.57 (v130(constB185, bitIndex2) <=> b001(bitIndex2)),
% 16.33/11.57 inference(unit_resolution,[status(thm)],[26455, 413, 26452])).
% 16.33/11.57 tff(26457,plain,
% 16.33/11.57 ((~(v130(constB185, bitIndex2) <=> b001(bitIndex2))) | (~v130(constB185, bitIndex2)) | b001(bitIndex2)),
% 16.33/11.57 inference(tautology,[status(thm)],[])).
% 16.33/11.57 tff(26458,plain,
% 16.33/11.57 ((~(v130(constB185, bitIndex2) <=> b001(bitIndex2))) | (~v130(constB185, bitIndex2))),
% 16.33/11.57 inference(unit_resolution,[status(thm)],[26457, 5625])).
% 16.33/11.57 tff(26459,plain,
% 16.33/11.57 (~v130(constB185, bitIndex2)),
% 16.33/11.57 inference(unit_resolution,[status(thm)],[26458, 26456])).
% 16.33/11.57 tff(26460,plain,
% 16.33/11.57 ((~(v127(constB185, bitIndex2) <=> v130(constB185, bitIndex2))) | (~v127(constB185, bitIndex2)) | v130(constB185, bitIndex2)),
% 16.33/11.57 inference(tautology,[status(thm)],[])).
% 16.33/11.57 tff(26461,plain,
% 16.33/11.57 (~v127(constB185, bitIndex2)),
% 16.33/11.57 inference(unit_resolution,[status(thm)],[26460, 26459, 26383])).
% 16.33/11.57 tff(26462,plain,
% 16.33/11.57 ((~(v129(constB186, bitIndex2) <=> v127(constB185, bitIndex2))) | (~v129(constB186, bitIndex2)) | v127(constB185, bitIndex2)),
% 16.33/11.57 inference(tautology,[status(thm)],[])).
% 16.33/11.57 tff(26463,plain,
% 16.33/11.57 (~v129(constB186, bitIndex2)),
% 16.33/11.57 inference(unit_resolution,[status(thm)],[26462, 26461, 26375])).
% 16.33/11.57 tff(26464,plain,
% 16.33/11.57 ((~(v90(constB186, bitIndex2) <=> v129(constB186, bitIndex2))) | (~v90(constB186, bitIndex2)) | v129(constB186, bitIndex2)),
% 16.33/11.57 inference(tautology,[status(thm)],[])).
% 16.33/11.57 tff(26465,plain,
% 16.33/11.57 (~v90(constB186, bitIndex2)),
% 16.33/11.57 inference(unit_resolution,[status(thm)],[26464, 26463, 26367])).
% 16.33/11.57 tff(26466,plain,
% 16.33/11.57 ((~(v90(constB187, bitIndex2) <=> v90(constB186, bitIndex2))) | (~v90(constB187, bitIndex2)) | v90(constB186, bitIndex2)),
% 16.33/11.57 inference(tautology,[status(thm)],[])).
% 16.33/11.57 tff(26467,plain,
% 16.33/11.57 (~v90(constB187, bitIndex2)),
% 16.33/11.57 inference(unit_resolution,[status(thm)],[26466, 26465, 24237])).
% 16.33/11.57 tff(26468,plain,
% 16.33/11.57 (((~![B: $i] : ((~less_3(B)) | (v90(constB187, B) <=> v90(constB186, B)))) | ((~less_3(bitIndex0)) | (v90(constB187, bitIndex0) <=> v90(constB186, bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v90(constB187, B) <=> v90(constB186, B)))) | (~less_3(bitIndex0)) | (v90(constB187, bitIndex0) <=> v90(constB186, bitIndex0)))),
% 16.33/11.57 inference(rewrite,[status(thm)],[])).
% 16.33/11.57 tff(26469,plain,
% 16.33/11.57 ((~![B: $i] : ((~less_3(B)) | (v90(constB187, B) <=> v90(constB186, B)))) | ((~less_3(bitIndex0)) | (v90(constB187, bitIndex0) <=> v90(constB186, bitIndex0)))),
% 16.33/11.57 inference(quant_inst,[status(thm)],[])).
% 16.33/11.57 tff(26470,plain,
% 16.33/11.57 ((~![B: $i] : ((~less_3(B)) | (v90(constB187, B) <=> v90(constB186, B)))) | (~less_3(bitIndex0)) | (v90(constB187, bitIndex0) <=> v90(constB186, bitIndex0))),
% 16.33/11.57 inference(modus_ponens,[status(thm)],[26469, 26468])).
% 16.33/11.57 tff(26471,plain,
% 16.33/11.57 (v90(constB187, bitIndex0) <=> v90(constB186, bitIndex0)),
% 16.33/11.57 inference(unit_resolution,[status(thm)],[26470, 5004, 24233])).
% 16.33/11.57 tff(26472,plain,
% 16.33/11.57 (((~![B: $i] : ((~less_3(B)) | (v90(constB186, B) <=> v129(constB186, B)))) | ((~less_3(bitIndex0)) | (v90(constB186, bitIndex0) <=> v129(constB186, bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v90(constB186, B) <=> v129(constB186, B)))) | (~less_3(bitIndex0)) | (v90(constB186, bitIndex0) <=> v129(constB186, bitIndex0)))),
% 16.33/11.58 inference(rewrite,[status(thm)],[])).
% 16.33/11.58 tff(26473,plain,
% 16.33/11.58 ((~![B: $i] : ((~less_3(B)) | (v90(constB186, B) <=> v129(constB186, B)))) | ((~less_3(bitIndex0)) | (v90(constB186, bitIndex0) <=> v129(constB186, bitIndex0)))),
% 16.33/11.58 inference(quant_inst,[status(thm)],[])).
% 16.33/11.58 tff(26474,plain,
% 16.33/11.58 ((~![B: $i] : ((~less_3(B)) | (v90(constB186, B) <=> v129(constB186, B)))) | (~less_3(bitIndex0)) | (v90(constB186, bitIndex0) <=> v129(constB186, bitIndex0))),
% 16.33/11.58 inference(modus_ponens,[status(thm)],[26473, 26472])).
% 16.33/11.58 tff(26475,plain,
% 16.33/11.58 (v90(constB186, bitIndex0) <=> v129(constB186, bitIndex0)),
% 16.33/11.58 inference(unit_resolution,[status(thm)],[26474, 5004, 26363])).
% 16.33/11.58 tff(26476,plain,
% 16.33/11.58 (((~![B: $i] : ((~less_3(B)) | (v129(constB186, B) <=> v127(constB185, B)))) | ((~less_3(bitIndex0)) | (v129(constB186, bitIndex0) <=> v127(constB185, bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v129(constB186, B) <=> v127(constB185, B)))) | (~less_3(bitIndex0)) | (v129(constB186, bitIndex0) <=> v127(constB185, bitIndex0)))),
% 16.33/11.58 inference(rewrite,[status(thm)],[])).
% 16.33/11.58 tff(26477,plain,
% 16.33/11.58 ((~![B: $i] : ((~less_3(B)) | (v129(constB186, B) <=> v127(constB185, B)))) | ((~less_3(bitIndex0)) | (v129(constB186, bitIndex0) <=> v127(constB185, bitIndex0)))),
% 16.33/11.58 inference(quant_inst,[status(thm)],[])).
% 16.33/11.58 tff(26478,plain,
% 16.33/11.58 ((~![B: $i] : ((~less_3(B)) | (v129(constB186, B) <=> v127(constB185, B)))) | (~less_3(bitIndex0)) | (v129(constB186, bitIndex0) <=> v127(constB185, bitIndex0))),
% 16.33/11.58 inference(modus_ponens,[status(thm)],[26477, 26476])).
% 16.33/11.58 tff(26479,plain,
% 16.33/11.58 (v129(constB186, bitIndex0) <=> v127(constB185, bitIndex0)),
% 16.33/11.58 inference(unit_resolution,[status(thm)],[26478, 5004, 26371])).
% 16.33/11.58 tff(26480,plain,
% 16.33/11.58 (((~![B: $i] : ((~less_3(B)) | (v127(constB185, B) <=> v130(constB185, B)))) | ((~less_3(bitIndex0)) | (v127(constB185, bitIndex0) <=> v130(constB185, bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v127(constB185, B) <=> v130(constB185, B)))) | (~less_3(bitIndex0)) | (v127(constB185, bitIndex0) <=> v130(constB185, bitIndex0)))),
% 16.33/11.58 inference(rewrite,[status(thm)],[])).
% 16.33/11.58 tff(26481,plain,
% 16.33/11.58 ((~![B: $i] : ((~less_3(B)) | (v127(constB185, B) <=> v130(constB185, B)))) | ((~less_3(bitIndex0)) | (v127(constB185, bitIndex0) <=> v130(constB185, bitIndex0)))),
% 16.33/11.58 inference(quant_inst,[status(thm)],[])).
% 16.33/11.58 tff(26482,plain,
% 16.33/11.58 ((~![B: $i] : ((~less_3(B)) | (v127(constB185, B) <=> v130(constB185, B)))) | (~less_3(bitIndex0)) | (v127(constB185, bitIndex0) <=> v130(constB185, bitIndex0))),
% 16.33/11.58 inference(modus_ponens,[status(thm)],[26481, 26480])).
% 16.33/11.58 tff(26483,plain,
% 16.33/11.58 (v127(constB185, bitIndex0) <=> v130(constB185, bitIndex0)),
% 16.33/11.58 inference(unit_resolution,[status(thm)],[26482, 5004, 26379])).
% 16.33/11.58 tff(26484,plain,
% 16.33/11.58 (((~![B: $i] : ((~less_3(B)) | (v130(constB185, B) <=> b001(B)))) | ((~less_3(bitIndex0)) | (v130(constB185, bitIndex0) <=> b001(bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v130(constB185, B) <=> b001(B)))) | (~less_3(bitIndex0)) | (v130(constB185, bitIndex0) <=> b001(bitIndex0)))),
% 16.33/11.58 inference(rewrite,[status(thm)],[])).
% 16.33/11.58 tff(26485,plain,
% 16.33/11.58 ((~![B: $i] : ((~less_3(B)) | (v130(constB185, B) <=> b001(B)))) | ((~less_3(bitIndex0)) | (v130(constB185, bitIndex0) <=> b001(bitIndex0)))),
% 16.33/11.58 inference(quant_inst,[status(thm)],[])).
% 16.33/11.58 tff(26486,plain,
% 16.33/11.58 ((~![B: $i] : ((~less_3(B)) | (v130(constB185, B) <=> b001(B)))) | (~less_3(bitIndex0)) | (v130(constB185, bitIndex0) <=> b001(bitIndex0))),
% 16.33/11.58 inference(modus_ponens,[status(thm)],[26485, 26484])).
% 16.33/11.58 tff(26487,plain,
% 16.33/11.58 (v130(constB185, bitIndex0) <=> b001(bitIndex0)),
% 16.33/11.58 inference(unit_resolution,[status(thm)],[26486, 5004, 26452])).
% 16.33/11.58 tff(26488,plain,
% 16.33/11.58 ((~(v130(constB185, bitIndex0) <=> b001(bitIndex0))) | v130(constB185, bitIndex0) | (~b001(bitIndex0))),
% 16.33/11.58 inference(tautology,[status(thm)],[])).
% 16.33/11.58 tff(26489,plain,
% 16.33/11.58 ((~(v130(constB185, bitIndex0) <=> b001(bitIndex0))) | v130(constB185, bitIndex0)),
% 16.33/11.58 inference(unit_resolution,[status(thm)],[26488, 5659])).
% 16.33/11.58 tff(26490,plain,
% 16.33/11.58 (v130(constB185, bitIndex0)),
% 16.33/11.58 inference(unit_resolution,[status(thm)],[26489, 26487])).
% 16.33/11.58 tff(26491,plain,
% 16.33/11.58 ((~(v127(constB185, bitIndex0) <=> v130(constB185, bitIndex0))) | v127(constB185, bitIndex0) | (~v130(constB185, bitIndex0))),
% 16.33/11.58 inference(tautology,[status(thm)],[])).
% 16.33/11.58 tff(26492,plain,
% 16.33/11.58 (v127(constB185, bitIndex0)),
% 16.33/11.58 inference(unit_resolution,[status(thm)],[26491, 26490, 26483])).
% 16.33/11.58 tff(26493,plain,
% 16.33/11.58 ((~(v129(constB186, bitIndex0) <=> v127(constB185, bitIndex0))) | v129(constB186, bitIndex0) | (~v127(constB185, bitIndex0))),
% 16.33/11.58 inference(tautology,[status(thm)],[])).
% 16.33/11.58 tff(26494,plain,
% 16.33/11.58 (v129(constB186, bitIndex0)),
% 16.33/11.58 inference(unit_resolution,[status(thm)],[26493, 26492, 26479])).
% 16.33/11.58 tff(26495,plain,
% 16.33/11.58 ((~(v90(constB186, bitIndex0) <=> v129(constB186, bitIndex0))) | v90(constB186, bitIndex0) | (~v129(constB186, bitIndex0))),
% 16.33/11.58 inference(tautology,[status(thm)],[])).
% 16.33/11.58 tff(26496,plain,
% 16.33/11.58 (v90(constB186, bitIndex0)),
% 16.33/11.58 inference(unit_resolution,[status(thm)],[26495, 26494, 26475])).
% 16.33/11.58 tff(26497,plain,
% 16.33/11.58 ((~(v90(constB187, bitIndex0) <=> v90(constB186, bitIndex0))) | v90(constB187, bitIndex0) | (~v90(constB186, bitIndex0))),
% 16.33/11.58 inference(tautology,[status(thm)],[])).
% 16.33/11.58 tff(26498,plain,
% 16.33/11.58 (v90(constB187, bitIndex0)),
% 16.33/11.58 inference(unit_resolution,[status(thm)],[26497, 26496, 26471])).
% 16.33/11.58 tff(26499,plain,
% 16.33/11.58 (((~![B: $i] : ((~less_3(B)) | (v90(constB187, B) <=> v90(constB186, B)))) | ((~less_3(bitIndex1)) | (v90(constB187, bitIndex1) <=> v90(constB186, bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v90(constB187, B) <=> v90(constB186, B)))) | (~less_3(bitIndex1)) | (v90(constB187, bitIndex1) <=> v90(constB186, bitIndex1)))),
% 16.33/11.58 inference(rewrite,[status(thm)],[])).
% 16.33/11.58 tff(26500,plain,
% 16.33/11.58 ((~![B: $i] : ((~less_3(B)) | (v90(constB187, B) <=> v90(constB186, B)))) | ((~less_3(bitIndex1)) | (v90(constB187, bitIndex1) <=> v90(constB186, bitIndex1)))),
% 16.33/11.58 inference(quant_inst,[status(thm)],[])).
% 16.33/11.58 tff(26501,plain,
% 16.33/11.58 ((~![B: $i] : ((~less_3(B)) | (v90(constB187, B) <=> v90(constB186, B)))) | (~less_3(bitIndex1)) | (v90(constB187, bitIndex1) <=> v90(constB186, bitIndex1))),
% 16.33/11.58 inference(modus_ponens,[status(thm)],[26500, 26499])).
% 16.33/11.58 tff(26502,plain,
% 16.33/11.58 (v90(constB187, bitIndex1) <=> v90(constB186, bitIndex1)),
% 16.33/11.58 inference(unit_resolution,[status(thm)],[26501, 5017, 24233])).
% 16.33/11.58 tff(26503,plain,
% 16.33/11.58 (((~![B: $i] : ((~less_3(B)) | (v90(constB186, B) <=> v129(constB186, B)))) | ((~less_3(bitIndex1)) | (v90(constB186, bitIndex1) <=> v129(constB186, bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v90(constB186, B) <=> v129(constB186, B)))) | (~less_3(bitIndex1)) | (v90(constB186, bitIndex1) <=> v129(constB186, bitIndex1)))),
% 16.33/11.58 inference(rewrite,[status(thm)],[])).
% 16.33/11.58 tff(26504,plain,
% 16.33/11.58 ((~![B: $i] : ((~less_3(B)) | (v90(constB186, B) <=> v129(constB186, B)))) | ((~less_3(bitIndex1)) | (v90(constB186, bitIndex1) <=> v129(constB186, bitIndex1)))),
% 16.33/11.58 inference(quant_inst,[status(thm)],[])).
% 16.33/11.58 tff(26505,plain,
% 16.33/11.58 ((~![B: $i] : ((~less_3(B)) | (v90(constB186, B) <=> v129(constB186, B)))) | (~less_3(bitIndex1)) | (v90(constB186, bitIndex1) <=> v129(constB186, bitIndex1))),
% 16.33/11.58 inference(modus_ponens,[status(thm)],[26504, 26503])).
% 16.33/11.58 tff(26506,plain,
% 16.33/11.58 (v90(constB186, bitIndex1) <=> v129(constB186, bitIndex1)),
% 16.33/11.58 inference(unit_resolution,[status(thm)],[26505, 5017, 26363])).
% 16.33/11.58 tff(26507,plain,
% 16.33/11.58 (((~![B: $i] : ((~less_3(B)) | (v129(constB186, B) <=> v127(constB185, B)))) | ((~less_3(bitIndex1)) | (v129(constB186, bitIndex1) <=> v127(constB185, bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v129(constB186, B) <=> v127(constB185, B)))) | (~less_3(bitIndex1)) | (v129(constB186, bitIndex1) <=> v127(constB185, bitIndex1)))),
% 16.33/11.58 inference(rewrite,[status(thm)],[])).
% 16.33/11.58 tff(26508,plain,
% 16.33/11.58 ((~![B: $i] : ((~less_3(B)) | (v129(constB186, B) <=> v127(constB185, B)))) | ((~less_3(bitIndex1)) | (v129(constB186, bitIndex1) <=> v127(constB185, bitIndex1)))),
% 16.33/11.58 inference(quant_inst,[status(thm)],[])).
% 16.33/11.58 tff(26509,plain,
% 16.33/11.58 ((~![B: $i] : ((~less_3(B)) | (v129(constB186, B) <=> v127(constB185, B)))) | (~less_3(bitIndex1)) | (v129(constB186, bitIndex1) <=> v127(constB185, bitIndex1))),
% 16.33/11.58 inference(modus_ponens,[status(thm)],[26508, 26507])).
% 16.33/11.58 tff(26510,plain,
% 16.33/11.58 (v129(constB186, bitIndex1) <=> v127(constB185, bitIndex1)),
% 16.33/11.58 inference(unit_resolution,[status(thm)],[26509, 5017, 26371])).
% 16.33/11.58 tff(26511,plain,
% 16.33/11.58 (((~![B: $i] : ((~less_3(B)) | (v127(constB185, B) <=> v130(constB185, B)))) | ((~less_3(bitIndex1)) | (v127(constB185, bitIndex1) <=> v130(constB185, bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v127(constB185, B) <=> v130(constB185, B)))) | (~less_3(bitIndex1)) | (v127(constB185, bitIndex1) <=> v130(constB185, bitIndex1)))),
% 16.33/11.58 inference(rewrite,[status(thm)],[])).
% 16.33/11.58 tff(26512,plain,
% 16.33/11.58 ((~![B: $i] : ((~less_3(B)) | (v127(constB185, B) <=> v130(constB185, B)))) | ((~less_3(bitIndex1)) | (v127(constB185, bitIndex1) <=> v130(constB185, bitIndex1)))),
% 16.33/11.58 inference(quant_inst,[status(thm)],[])).
% 16.33/11.58 tff(26513,plain,
% 16.33/11.58 ((~![B: $i] : ((~less_3(B)) | (v127(constB185, B) <=> v130(constB185, B)))) | (~less_3(bitIndex1)) | (v127(constB185, bitIndex1) <=> v130(constB185, bitIndex1))),
% 16.33/11.58 inference(modus_ponens,[status(thm)],[26512, 26511])).
% 16.33/11.58 tff(26514,plain,
% 16.33/11.58 (v127(constB185, bitIndex1) <=> v130(constB185, bitIndex1)),
% 16.33/11.58 inference(unit_resolution,[status(thm)],[26513, 5017, 26379])).
% 16.33/11.58 tff(26515,plain,
% 16.33/11.58 (((~![B: $i] : ((~less_3(B)) | (v130(constB185, B) <=> b001(B)))) | ((~less_3(bitIndex1)) | (v130(constB185, bitIndex1) <=> b001(bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v130(constB185, B) <=> b001(B)))) | (~less_3(bitIndex1)) | (v130(constB185, bitIndex1) <=> b001(bitIndex1)))),
% 16.33/11.58 inference(rewrite,[status(thm)],[])).
% 16.33/11.58 tff(26516,plain,
% 16.33/11.58 ((~![B: $i] : ((~less_3(B)) | (v130(constB185, B) <=> b001(B)))) | ((~less_3(bitIndex1)) | (v130(constB185, bitIndex1) <=> b001(bitIndex1)))),
% 16.33/11.58 inference(quant_inst,[status(thm)],[])).
% 16.33/11.58 tff(26517,plain,
% 16.33/11.58 ((~![B: $i] : ((~less_3(B)) | (v130(constB185, B) <=> b001(B)))) | (~less_3(bitIndex1)) | (v130(constB185, bitIndex1) <=> b001(bitIndex1))),
% 16.33/11.58 inference(modus_ponens,[status(thm)],[26516, 26515])).
% 16.33/11.58 tff(26518,plain,
% 16.33/11.58 (v130(constB185, bitIndex1) <=> b001(bitIndex1)),
% 16.33/11.58 inference(unit_resolution,[status(thm)],[26517, 5017, 26452])).
% 16.33/11.58 tff(26519,plain,
% 16.33/11.58 ((~(v130(constB185, bitIndex1) <=> b001(bitIndex1))) | (~v130(constB185, bitIndex1)) | b001(bitIndex1)),
% 16.33/11.58 inference(tautology,[status(thm)],[])).
% 16.33/11.58 tff(26520,plain,
% 16.33/11.58 ((~(v130(constB185, bitIndex1) <=> b001(bitIndex1))) | (~v130(constB185, bitIndex1))),
% 16.33/11.58 inference(unit_resolution,[status(thm)],[26519, 5693])).
% 16.33/11.58 tff(26521,plain,
% 16.33/11.58 (~v130(constB185, bitIndex1)),
% 16.33/11.58 inference(unit_resolution,[status(thm)],[26520, 26518])).
% 16.33/11.58 tff(26522,plain,
% 16.33/11.58 ((~(v127(constB185, bitIndex1) <=> v130(constB185, bitIndex1))) | (~v127(constB185, bitIndex1)) | v130(constB185, bitIndex1)),
% 16.33/11.58 inference(tautology,[status(thm)],[])).
% 16.33/11.58 tff(26523,plain,
% 16.33/11.58 (~v127(constB185, bitIndex1)),
% 16.33/11.58 inference(unit_resolution,[status(thm)],[26522, 26521, 26514])).
% 16.33/11.58 tff(26524,plain,
% 16.33/11.58 ((~(v129(constB186, bitIndex1) <=> v127(constB185, bitIndex1))) | (~v129(constB186, bitIndex1)) | v127(constB185, bitIndex1)),
% 16.33/11.58 inference(tautology,[status(thm)],[])).
% 16.33/11.58 tff(26525,plain,
% 16.33/11.58 (~v129(constB186, bitIndex1)),
% 16.33/11.58 inference(unit_resolution,[status(thm)],[26524, 26523, 26510])).
% 16.33/11.58 tff(26526,plain,
% 16.33/11.58 ((~(v90(constB186, bitIndex1) <=> v129(constB186, bitIndex1))) | (~v90(constB186, bitIndex1)) | v129(constB186, bitIndex1)),
% 16.33/11.58 inference(tautology,[status(thm)],[])).
% 16.33/11.58 tff(26527,plain,
% 16.33/11.58 (~v90(constB186, bitIndex1)),
% 16.33/11.58 inference(unit_resolution,[status(thm)],[26526, 26525, 26506])).
% 16.33/11.58 tff(26528,plain,
% 16.33/11.58 ((~(v90(constB187, bitIndex1) <=> v90(constB186, bitIndex1))) | (~v90(constB187, bitIndex1)) | v90(constB186, bitIndex1)),
% 16.33/11.58 inference(tautology,[status(thm)],[])).
% 16.33/11.58 tff(26529,plain,
% 16.33/11.58 (~v90(constB187, bitIndex1)),
% 16.33/11.58 inference(unit_resolution,[status(thm)],[26528, 26527, 26502])).
% 16.33/11.58 tff(26530,plain,
% 16.33/11.58 ((~(v90(constB187, bitIndex2) | v90(constB187, bitIndex1) | (~v90(constB187, bitIndex0)))) | v90(constB187, bitIndex2) | v90(constB187, bitIndex1) | (~v90(constB187, bitIndex0))),
% 16.33/11.58 inference(tautology,[status(thm)],[])).
% 16.33/11.58 tff(26531,plain,
% 16.33/11.58 (~(v90(constB187, bitIndex2) | v90(constB187, bitIndex1) | (~v90(constB187, bitIndex0)))),
% 16.33/11.58 inference(unit_resolution,[status(thm)],[26530, 26529, 26498, 26467])).
% 16.33/11.58 tff(26532,plain,
% 16.33/11.58 ((~(v120(constB187) <=> (~(v90(constB187, bitIndex2) | v90(constB187, bitIndex1) | (~v90(constB187, bitIndex0)))))) | v120(constB187) | (v90(constB187, bitIndex2) | v90(constB187, bitIndex1) | (~v90(constB187, bitIndex0)))),
% 16.33/11.58 inference(tautology,[status(thm)],[])).
% 16.33/11.58 tff(26533,plain,
% 16.33/11.58 (v120(constB187)),
% 16.33/11.58 inference(unit_resolution,[status(thm)],[26532, 26531, 24205])).
% 16.33/11.58 tff(26534,plain,
% 16.33/11.58 ((v119(constB187) | v120(constB187)) | (~v120(constB187))),
% 16.33/11.58 inference(tautology,[status(thm)],[])).
% 16.33/11.58 tff(26535,plain,
% 16.33/11.58 (v119(constB187) | v120(constB187)),
% 16.33/11.58 inference(unit_resolution,[status(thm)],[26534, 26533])).
% 16.33/11.58 tff(26536,plain,
% 16.33/11.58 ((~(v118(constB187) <=> (v119(constB187) | v120(constB187)))) | v118(constB187) | (~(v119(constB187) | v120(constB187)))),
% 16.33/11.58 inference(tautology,[status(thm)],[])).
% 16.33/11.58 tff(26537,plain,
% 16.33/11.58 (v118(constB187)),
% 16.33/11.58 inference(unit_resolution,[status(thm)],[26536, 26535, 24198])).
% 16.33/11.58 tff(26538,plain,
% 16.33/11.58 ((v118(constB187) | v121(constB187)) | (~v118(constB187))),
% 16.33/11.58 inference(tautology,[status(thm)],[])).
% 16.33/11.58 tff(26539,plain,
% 16.33/11.58 (v118(constB187) | v121(constB187)),
% 16.33/11.58 inference(unit_resolution,[status(thm)],[26538, 26537])).
% 16.33/11.58 tff(26540,plain,
% 16.33/11.58 ((~(v117(constB187) <=> (v118(constB187) | v121(constB187)))) | v117(constB187) | (~(v118(constB187) | v121(constB187)))),
% 16.33/11.58 inference(tautology,[status(thm)],[])).
% 16.33/11.58 tff(26541,plain,
% 16.33/11.58 (v117(constB187)),
% 16.33/11.58 inference(unit_resolution,[status(thm)],[26540, 26539, 24196])).
% 16.33/11.58 tff(26542,plain,
% 16.33/11.58 ((v117(constB187) | v122(constB187)) | (~v117(constB187))),
% 16.33/11.58 inference(tautology,[status(thm)],[])).
% 16.33/11.58 tff(26543,plain,
% 16.33/11.58 (v117(constB187) | v122(constB187)),
% 16.33/11.58 inference(unit_resolution,[status(thm)],[26542, 26541])).
% 16.33/11.58 tff(26544,plain,
% 16.33/11.58 ((~(v116(constB187) <=> (v117(constB187) | v122(constB187)))) | v116(constB187) | (~(v117(constB187) | v122(constB187)))),
% 16.33/11.58 inference(tautology,[status(thm)],[])).
% 16.33/11.58 tff(26545,plain,
% 16.33/11.58 (v116(constB187)),
% 16.33/11.58 inference(unit_resolution,[status(thm)],[26544, 26543, 24194])).
% 16.33/11.58 tff(26546,plain,
% 16.33/11.58 ((v116(constB187) | v123(constB187)) | (~v116(constB187))),
% 16.33/11.58 inference(tautology,[status(thm)],[])).
% 16.33/11.58 tff(26547,plain,
% 16.33/11.58 (v116(constB187) | v123(constB187)),
% 16.33/11.58 inference(unit_resolution,[status(thm)],[26546, 26545])).
% 16.33/11.58 tff(26548,plain,
% 16.33/11.58 ((~(v115(constB187) <=> (v116(constB187) | v123(constB187)))) | v115(constB187) | (~(v116(constB187) | v123(constB187)))),
% 16.33/11.58 inference(tautology,[status(thm)],[])).
% 16.33/11.58 tff(26549,plain,
% 16.33/11.58 (v115(constB187)),
% 16.33/11.58 inference(unit_resolution,[status(thm)],[26548, 26547, 24192])).
% 16.33/11.58 tff(26550,plain,
% 16.33/11.58 ((v115(constB187) | v124(constB187)) | (~v115(constB187))),
% 16.33/11.58 inference(tautology,[status(thm)],[])).
% 16.33/11.58 tff(26551,plain,
% 16.33/11.58 (v115(constB187) | v124(constB187)),
% 16.33/11.58 inference(unit_resolution,[status(thm)],[26550, 26549])).
% 16.33/11.58 tff(26552,plain,
% 16.33/11.58 ((~(v114(constB187) <=> (v115(constB187) | v124(constB187)))) | v114(constB187) | (~(v115(constB187) | v124(constB187)))),
% 16.33/11.58 inference(tautology,[status(thm)],[])).
% 16.33/11.58 tff(26553,plain,
% 16.33/11.58 (v114(constB187)),
% 16.33/11.58 inference(unit_resolution,[status(thm)],[26552, 26551, 24190])).
% 16.33/11.58 tff(26554,plain,
% 16.33/11.58 ((v114(constB187) | v125(constB187)) | (~v114(constB187))),
% 16.33/11.58 inference(tautology,[status(thm)],[])).
% 16.33/11.58 tff(26555,plain,
% 16.33/11.58 (v114(constB187) | v125(constB187)),
% 16.33/11.58 inference(unit_resolution,[status(thm)],[26554, 26553])).
% 16.33/11.58 tff(26556,plain,
% 16.33/11.58 ((~(v113(constB187) <=> (v114(constB187) | v125(constB187)))) | v113(constB187) | (~(v114(constB187) | v125(constB187)))),
% 16.33/11.58 inference(tautology,[status(thm)],[])).
% 16.33/11.58 tff(26557,plain,
% 16.33/11.58 (v113(constB187)),
% 16.33/11.58 inference(unit_resolution,[status(thm)],[26556, 26555, 24188])).
% 16.33/11.58 tff(26558,plain,
% 16.33/11.58 ((~![VarCurr: $i] : ((~v126(VarCurr)) <=> v111(VarCurr))) | ((~v126(constB187)) <=> v111(constB187))),
% 16.33/11.58 inference(quant_inst,[status(thm)],[])).
% 16.33/11.58 tff(26559,plain,
% 16.33/11.58 ((~v126(constB187)) <=> v111(constB187)),
% 16.33/11.58 inference(unit_resolution,[status(thm)],[26558, 5074])).
% 16.33/11.59 tff(26560,plain,
% 16.33/11.59 ((~![VarCurr: $i] : (v111(VarCurr) <=> v26(VarCurr))) | (v111(constB187) <=> v26(constB187))),
% 16.33/11.59 inference(quant_inst,[status(thm)],[])).
% 16.33/11.59 tff(26561,plain,
% 16.33/11.59 (v111(constB187) <=> v26(constB187)),
% 16.33/11.59 inference(unit_resolution,[status(thm)],[26560, 5086])).
% 16.33/11.59 tff(26562,plain,
% 16.33/11.59 ((~![VarCurr: $i] : (~v26(VarCurr))) | (~v26(constB187))),
% 16.33/11.59 inference(quant_inst,[status(thm)],[])).
% 16.33/11.59 tff(26563,plain,
% 16.33/11.59 (~v26(constB187)),
% 16.33/11.59 inference(unit_resolution,[status(thm)],[26562, 5098])).
% 16.33/11.59 tff(26564,plain,
% 16.33/11.59 ((~(v111(constB187) <=> v26(constB187))) | (~v111(constB187)) | v26(constB187)),
% 16.33/11.59 inference(tautology,[status(thm)],[])).
% 16.33/11.59 tff(26565,plain,
% 16.33/11.59 ((~(v111(constB187) <=> v26(constB187))) | (~v111(constB187))),
% 16.33/11.59 inference(unit_resolution,[status(thm)],[26564, 26563])).
% 16.33/11.59 tff(26566,plain,
% 16.33/11.59 (~v111(constB187)),
% 16.33/11.59 inference(unit_resolution,[status(thm)],[26565, 26561])).
% 16.33/11.59 tff(26567,plain,
% 16.33/11.59 ((~((~v126(constB187)) <=> v111(constB187))) | v126(constB187) | v111(constB187)),
% 16.33/11.59 inference(tautology,[status(thm)],[])).
% 16.33/11.59 tff(26568,plain,
% 16.33/11.59 ((~((~v126(constB187)) <=> v111(constB187))) | v126(constB187)),
% 16.33/11.59 inference(unit_resolution,[status(thm)],[26567, 26566])).
% 16.33/11.59 tff(26569,plain,
% 16.33/11.59 (v126(constB187)),
% 16.33/11.59 inference(unit_resolution,[status(thm)],[26568, 26559])).
% 16.33/11.59 tff(26570,plain,
% 16.33/11.59 ((~((~v113(constB187)) | (~v126(constB187)))) | (~v113(constB187)) | (~v126(constB187))),
% 16.33/11.59 inference(tautology,[status(thm)],[])).
% 16.33/11.59 tff(26571,plain,
% 16.33/11.59 ((~((~v113(constB187)) | (~v126(constB187)))) | (~v113(constB187))),
% 16.33/11.59 inference(unit_resolution,[status(thm)],[26570, 26569])).
% 16.33/11.59 tff(26572,plain,
% 16.33/11.59 (~((~v113(constB187)) | (~v126(constB187)))),
% 16.33/11.59 inference(unit_resolution,[status(thm)],[26571, 26557])).
% 16.33/11.59 tff(26573,plain,
% 16.33/11.59 ((~(v112(constB187) <=> (~((~v113(constB187)) | (~v126(constB187)))))) | v112(constB187) | ((~v113(constB187)) | (~v126(constB187)))),
% 16.33/11.59 inference(tautology,[status(thm)],[])).
% 16.33/11.59 tff(26574,plain,
% 16.33/11.59 (v112(constB187)),
% 16.33/11.59 inference(unit_resolution,[status(thm)],[26573, 26572, 24186])).
% 16.33/11.59 tff(26575,plain,
% 16.33/11.59 ((v111(constB187) | v112(constB187)) | (~v112(constB187))),
% 16.33/11.59 inference(tautology,[status(thm)],[])).
% 16.33/11.59 tff(26576,plain,
% 16.33/11.59 (v111(constB187) | v112(constB187)),
% 16.33/11.59 inference(unit_resolution,[status(thm)],[26575, 26574])).
% 16.33/11.59 tff(26577,plain,
% 16.33/11.59 ((~(v108(constB187) <=> (v111(constB187) | v112(constB187)))) | v108(constB187) | (~(v111(constB187) | v112(constB187)))),
% 16.33/11.59 inference(tautology,[status(thm)],[])).
% 16.33/11.59 tff(26578,plain,
% 16.33/11.59 (v108(constB187)),
% 16.33/11.59 inference(unit_resolution,[status(thm)],[26577, 26576, 24184])).
% 16.33/11.59 tff(26579,plain,
% 16.33/11.59 ((~(v110(constB188) <=> v108(constB187))) | v110(constB188) | (~v108(constB187))),
% 16.33/11.59 inference(tautology,[status(thm)],[])).
% 16.33/11.59 tff(26580,plain,
% 16.33/11.59 (v110(constB188)),
% 16.33/11.59 inference(unit_resolution,[status(thm)],[26579, 26578, 24182])).
% 16.33/11.59 tff(26581,plain,
% 16.33/11.59 ((~((~v101(constB188)) | (~v110(constB188)))) | (~v101(constB188)) | (~v110(constB188))),
% 16.33/11.59 inference(tautology,[status(thm)],[])).
% 16.33/11.59 tff(26582,plain,
% 16.33/11.59 (~((~v101(constB188)) | (~v110(constB188)))),
% 16.33/11.59 inference(unit_resolution,[status(thm)],[26581, 26580, 24178])).
% 16.33/11.59 tff(26583,plain,
% 16.33/11.59 ((~(v100(constB188) <=> (~((~v101(constB188)) | (~v110(constB188)))))) | v100(constB188) | ((~v101(constB188)) | (~v110(constB188)))),
% 16.33/11.59 inference(tautology,[status(thm)],[])).
% 16.33/11.59 tff(26584,plain,
% 16.33/11.59 (v100(constB188)),
% 16.33/11.59 inference(unit_resolution,[status(thm)],[26583, 26582, 24147])).
% 16.33/11.59 tff(26585,plain,
% 16.33/11.59 (((~![VarNext: $i] : ((~v100(VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v129(VarNext, B))))) | ((~v100(constB188)) | ![B: $i] : ((~less_3(B)) | (v90(constB188, B) <=> v129(constB188, B))))) <=> ((~![VarNext: $i] : ((~v100(VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v129(VarNext, B))))) | (~v100(constB188)) | ![B: $i] : ((~less_3(B)) | (v90(constB188, B) <=> v129(constB188, B))))),
% 16.33/11.59 inference(rewrite,[status(thm)],[])).
% 16.33/11.59 tff(26586,plain,
% 16.33/11.59 ((~![VarNext: $i] : ((~v100(VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v129(VarNext, B))))) | ((~v100(constB188)) | ![B: $i] : ((~less_3(B)) | (v90(constB188, B) <=> v129(constB188, B))))),
% 16.33/11.59 inference(quant_inst,[status(thm)],[])).
% 16.33/11.59 tff(26587,plain,
% 16.33/11.59 ((~![VarNext: $i] : ((~v100(VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v129(VarNext, B))))) | (~v100(constB188)) | ![B: $i] : ((~less_3(B)) | (v90(constB188, B) <=> v129(constB188, B)))),
% 16.33/11.59 inference(modus_ponens,[status(thm)],[26586, 26585])).
% 16.33/11.59 tff(26588,plain,
% 16.33/11.59 ((~v100(constB188)) | ![B: $i] : ((~less_3(B)) | (v90(constB188, B) <=> v129(constB188, B)))),
% 16.33/11.59 inference(unit_resolution,[status(thm)],[26587, 5134])).
% 16.33/11.59 tff(26589,plain,
% 16.33/11.59 (![B: $i] : ((~less_3(B)) | (v90(constB188, B) <=> v129(constB188, B)))),
% 16.33/11.59 inference(unit_resolution,[status(thm)],[26588, 26584])).
% 16.33/11.59 tff(26590,plain,
% 16.33/11.59 (((~![B: $i] : ((~less_3(B)) | (v90(constB188, B) <=> v129(constB188, B)))) | ((~less_3(bitIndex2)) | (v90(constB188, bitIndex2) <=> v129(constB188, bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v90(constB188, B) <=> v129(constB188, B)))) | (~less_3(bitIndex2)) | (v90(constB188, bitIndex2) <=> v129(constB188, bitIndex2)))),
% 16.33/11.59 inference(rewrite,[status(thm)],[])).
% 16.33/11.59 tff(26591,plain,
% 16.33/11.59 ((~![B: $i] : ((~less_3(B)) | (v90(constB188, B) <=> v129(constB188, B)))) | ((~less_3(bitIndex2)) | (v90(constB188, bitIndex2) <=> v129(constB188, bitIndex2)))),
% 16.33/11.59 inference(quant_inst,[status(thm)],[])).
% 16.33/11.59 tff(26592,plain,
% 16.33/11.59 ((~![B: $i] : ((~less_3(B)) | (v90(constB188, B) <=> v129(constB188, B)))) | (~less_3(bitIndex2)) | (v90(constB188, bitIndex2) <=> v129(constB188, bitIndex2))),
% 16.33/11.59 inference(modus_ponens,[status(thm)],[26591, 26590])).
% 16.33/11.59 tff(26593,plain,
% 16.33/11.59 (v90(constB188, bitIndex2) <=> v129(constB188, bitIndex2)),
% 16.33/11.59 inference(unit_resolution,[status(thm)],[26592, 413, 26589])).
% 16.33/11.59 tff(26594,plain,
% 16.33/11.59 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v129(VarNext, B) <=> v127(VarCurr, B))))) | ((~nextState(constB187, constB188)) | ![B: $i] : ((~less_3(B)) | (v129(constB188, B) <=> v127(constB187, B))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v129(VarNext, B) <=> v127(VarCurr, B))))) | (~nextState(constB187, constB188)) | ![B: $i] : ((~less_3(B)) | (v129(constB188, B) <=> v127(constB187, B))))),
% 16.33/11.59 inference(rewrite,[status(thm)],[])).
% 16.33/11.59 tff(26595,plain,
% 16.33/11.59 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v129(VarNext, B) <=> v127(VarCurr, B))))) | ((~nextState(constB187, constB188)) | ![B: $i] : ((~less_3(B)) | (v129(constB188, B) <=> v127(constB187, B))))),
% 16.33/11.59 inference(quant_inst,[status(thm)],[])).
% 16.33/11.59 tff(26596,plain,
% 16.33/11.59 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v129(VarNext, B) <=> v127(VarCurr, B))))) | (~nextState(constB187, constB188)) | ![B: $i] : ((~less_3(B)) | (v129(constB188, B) <=> v127(constB187, B)))),
% 16.33/11.59 inference(modus_ponens,[status(thm)],[26595, 26594])).
% 16.33/11.59 tff(26597,plain,
% 16.33/11.59 (![B: $i] : ((~less_3(B)) | (v129(constB188, B) <=> v127(constB187, B)))),
% 16.33/11.59 inference(unit_resolution,[status(thm)],[26596, 24143, 5156])).
% 16.33/11.59 tff(26598,plain,
% 16.33/11.59 (((~![B: $i] : ((~less_3(B)) | (v129(constB188, B) <=> v127(constB187, B)))) | ((~less_3(bitIndex2)) | (v129(constB188, bitIndex2) <=> v127(constB187, bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v129(constB188, B) <=> v127(constB187, B)))) | (~less_3(bitIndex2)) | (v129(constB188, bitIndex2) <=> v127(constB187, bitIndex2)))),
% 16.33/11.59 inference(rewrite,[status(thm)],[])).
% 16.33/11.59 tff(26599,plain,
% 16.33/11.59 ((~![B: $i] : ((~less_3(B)) | (v129(constB188, B) <=> v127(constB187, B)))) | ((~less_3(bitIndex2)) | (v129(constB188, bitIndex2) <=> v127(constB187, bitIndex2)))),
% 16.33/11.59 inference(quant_inst,[status(thm)],[])).
% 16.33/11.59 tff(26600,plain,
% 16.33/11.59 ((~![B: $i] : ((~less_3(B)) | (v129(constB188, B) <=> v127(constB187, B)))) | (~less_3(bitIndex2)) | (v129(constB188, bitIndex2) <=> v127(constB187, bitIndex2))),
% 16.33/11.59 inference(modus_ponens,[status(thm)],[26599, 26598])).
% 16.33/11.59 tff(26601,plain,
% 16.33/11.59 (v129(constB188, bitIndex2) <=> v127(constB187, bitIndex2)),
% 16.33/11.59 inference(unit_resolution,[status(thm)],[26600, 413, 26597])).
% 16.33/11.59 tff(26602,plain,
% 16.33/11.59 (((~![VarCurr: $i] : (v111(VarCurr) | ![B: $i] : ((~less_3(B)) | (v127(VarCurr, B) <=> v130(VarCurr, B))))) | (v111(constB187) | ![B: $i] : ((~less_3(B)) | (v127(constB187, B) <=> v130(constB187, B))))) <=> ((~![VarCurr: $i] : (v111(VarCurr) | ![B: $i] : ((~less_3(B)) | (v127(VarCurr, B) <=> v130(VarCurr, B))))) | v111(constB187) | ![B: $i] : ((~less_3(B)) | (v127(constB187, B) <=> v130(constB187, B))))),
% 16.33/11.59 inference(rewrite,[status(thm)],[])).
% 16.33/11.59 tff(26603,plain,
% 16.33/11.59 ((~![VarCurr: $i] : (v111(VarCurr) | ![B: $i] : ((~less_3(B)) | (v127(VarCurr, B) <=> v130(VarCurr, B))))) | (v111(constB187) | ![B: $i] : ((~less_3(B)) | (v127(constB187, B) <=> v130(constB187, B))))),
% 16.33/11.59 inference(quant_inst,[status(thm)],[])).
% 16.33/11.59 tff(26604,plain,
% 16.33/11.59 ((~![VarCurr: $i] : (v111(VarCurr) | ![B: $i] : ((~less_3(B)) | (v127(VarCurr, B) <=> v130(VarCurr, B))))) | v111(constB187) | ![B: $i] : ((~less_3(B)) | (v127(constB187, B) <=> v130(constB187, B)))),
% 16.33/11.59 inference(modus_ponens,[status(thm)],[26603, 26602])).
% 16.33/11.59 tff(26605,plain,
% 16.33/11.59 (![B: $i] : ((~less_3(B)) | (v127(constB187, B) <=> v130(constB187, B)))),
% 16.33/11.59 inference(unit_resolution,[status(thm)],[26604, 5177, 26566])).
% 16.33/11.59 tff(26606,plain,
% 16.33/11.59 (((~![B: $i] : ((~less_3(B)) | (v127(constB187, B) <=> v130(constB187, B)))) | ((~less_3(bitIndex2)) | (v127(constB187, bitIndex2) <=> v130(constB187, bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v127(constB187, B) <=> v130(constB187, B)))) | (~less_3(bitIndex2)) | (v127(constB187, bitIndex2) <=> v130(constB187, bitIndex2)))),
% 16.33/11.59 inference(rewrite,[status(thm)],[])).
% 16.33/11.59 tff(26607,plain,
% 16.33/11.59 ((~![B: $i] : ((~less_3(B)) | (v127(constB187, B) <=> v130(constB187, B)))) | ((~less_3(bitIndex2)) | (v127(constB187, bitIndex2) <=> v130(constB187, bitIndex2)))),
% 16.33/11.59 inference(quant_inst,[status(thm)],[])).
% 16.33/11.59 tff(26608,plain,
% 16.33/11.59 ((~![B: $i] : ((~less_3(B)) | (v127(constB187, B) <=> v130(constB187, B)))) | (~less_3(bitIndex2)) | (v127(constB187, bitIndex2) <=> v130(constB187, bitIndex2))),
% 16.33/11.59 inference(modus_ponens,[status(thm)],[26607, 26606])).
% 16.33/11.59 tff(26609,plain,
% 16.33/11.59 (v127(constB187, bitIndex2) <=> v130(constB187, bitIndex2)),
% 16.33/11.59 inference(unit_resolution,[status(thm)],[26608, 413, 26605])).
% 16.33/11.59 tff(26610,plain,
% 16.33/11.59 (((~![VarCurr: $i] : ((~v120(VarCurr)) | ![B: $i] : ((~less_3(B)) | (v130(VarCurr, B) <=> b010(B))))) | ((~v120(constB187)) | ![B: $i] : ((~less_3(B)) | (v130(constB187, B) <=> b010(B))))) <=> ((~![VarCurr: $i] : ((~v120(VarCurr)) | ![B: $i] : ((~less_3(B)) | (v130(VarCurr, B) <=> b010(B))))) | (~v120(constB187)) | ![B: $i] : ((~less_3(B)) | (v130(constB187, B) <=> b010(B))))),
% 16.33/11.59 inference(rewrite,[status(thm)],[])).
% 16.33/11.59 tff(26611,plain,
% 16.33/11.59 ((~![VarCurr: $i] : ((~v120(VarCurr)) | ![B: $i] : ((~less_3(B)) | (v130(VarCurr, B) <=> b010(B))))) | ((~v120(constB187)) | ![B: $i] : ((~less_3(B)) | (v130(constB187, B) <=> b010(B))))),
% 16.33/11.59 inference(quant_inst,[status(thm)],[])).
% 16.33/11.59 tff(26612,plain,
% 16.33/11.59 ((~![VarCurr: $i] : ((~v120(VarCurr)) | ![B: $i] : ((~less_3(B)) | (v130(VarCurr, B) <=> b010(B))))) | (~v120(constB187)) | ![B: $i] : ((~less_3(B)) | (v130(constB187, B) <=> b010(B)))),
% 16.33/11.59 inference(modus_ponens,[status(thm)],[26611, 26610])).
% 16.33/11.59 tff(26613,plain,
% 16.33/11.59 ((~v120(constB187)) | ![B: $i] : ((~less_3(B)) | (v130(constB187, B) <=> b010(B)))),
% 16.33/11.59 inference(unit_resolution,[status(thm)],[26612, 5797])).
% 16.33/11.59 tff(26614,plain,
% 16.33/11.59 (![B: $i] : ((~less_3(B)) | (v130(constB187, B) <=> b010(B)))),
% 16.33/11.59 inference(unit_resolution,[status(thm)],[26613, 26533])).
% 16.33/11.59 tff(26615,plain,
% 16.33/11.59 (((~![B: $i] : ((~less_3(B)) | (v130(constB187, B) <=> b010(B)))) | ((~less_3(bitIndex2)) | (v130(constB187, bitIndex2) <=> b010(bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v130(constB187, B) <=> b010(B)))) | (~less_3(bitIndex2)) | (v130(constB187, bitIndex2) <=> b010(bitIndex2)))),
% 16.33/11.59 inference(rewrite,[status(thm)],[])).
% 16.33/11.59 tff(26616,plain,
% 16.33/11.59 ((~![B: $i] : ((~less_3(B)) | (v130(constB187, B) <=> b010(B)))) | ((~less_3(bitIndex2)) | (v130(constB187, bitIndex2) <=> b010(bitIndex2)))),
% 16.33/11.59 inference(quant_inst,[status(thm)],[])).
% 16.33/11.59 tff(26617,plain,
% 16.33/11.59 ((~![B: $i] : ((~less_3(B)) | (v130(constB187, B) <=> b010(B)))) | (~less_3(bitIndex2)) | (v130(constB187, bitIndex2) <=> b010(bitIndex2))),
% 16.33/11.59 inference(modus_ponens,[status(thm)],[26616, 26615])).
% 16.33/11.59 tff(26618,plain,
% 16.33/11.59 (v130(constB187, bitIndex2) <=> b010(bitIndex2)),
% 16.33/11.59 inference(unit_resolution,[status(thm)],[26617, 413, 26614])).
% 16.33/11.59 tff(26619,plain,
% 16.33/11.59 ((~(v130(constB187, bitIndex2) <=> b010(bitIndex2))) | (~v130(constB187, bitIndex2)) | b010(bitIndex2)),
% 16.33/11.59 inference(tautology,[status(thm)],[])).
% 16.33/11.59 tff(26620,plain,
% 16.33/11.59 ((~(v130(constB187, bitIndex2) <=> b010(bitIndex2))) | (~v130(constB187, bitIndex2))),
% 16.33/11.59 inference(unit_resolution,[status(thm)],[26619, 5809])).
% 16.33/11.59 tff(26621,plain,
% 16.33/11.59 (~v130(constB187, bitIndex2)),
% 16.33/11.59 inference(unit_resolution,[status(thm)],[26620, 26618])).
% 16.33/11.59 tff(26622,plain,
% 16.33/11.59 ((~(v127(constB187, bitIndex2) <=> v130(constB187, bitIndex2))) | (~v127(constB187, bitIndex2)) | v130(constB187, bitIndex2)),
% 16.33/11.59 inference(tautology,[status(thm)],[])).
% 16.33/11.59 tff(26623,plain,
% 16.33/11.59 (~v127(constB187, bitIndex2)),
% 16.33/11.59 inference(unit_resolution,[status(thm)],[26622, 26621, 26609])).
% 16.33/11.59 tff(26624,plain,
% 16.33/11.59 ((~(v129(constB188, bitIndex2) <=> v127(constB187, bitIndex2))) | (~v129(constB188, bitIndex2)) | v127(constB187, bitIndex2)),
% 16.33/11.59 inference(tautology,[status(thm)],[])).
% 16.33/11.59 tff(26625,plain,
% 16.33/11.59 (~v129(constB188, bitIndex2)),
% 16.33/11.59 inference(unit_resolution,[status(thm)],[26624, 26623, 26601])).
% 16.33/11.59 tff(26626,plain,
% 16.33/11.59 ((~(v90(constB188, bitIndex2) <=> v129(constB188, bitIndex2))) | (~v90(constB188, bitIndex2)) | v129(constB188, bitIndex2)),
% 16.33/11.59 inference(tautology,[status(thm)],[])).
% 16.33/11.59 tff(26627,plain,
% 16.33/11.59 (~v90(constB188, bitIndex2)),
% 16.33/11.59 inference(unit_resolution,[status(thm)],[26626, 26625, 26593])).
% 16.33/11.59 tff(26628,plain,
% 16.33/11.59 ((~(v90(constB189, bitIndex2) <=> v90(constB188, bitIndex2))) | (~v90(constB189, bitIndex2)) | v90(constB188, bitIndex2)),
% 16.33/11.59 inference(tautology,[status(thm)],[])).
% 16.33/11.59 tff(26629,plain,
% 16.33/11.59 (~v90(constB189, bitIndex2)),
% 16.33/11.59 inference(unit_resolution,[status(thm)],[26628, 26627, 24140])).
% 16.33/11.59 tff(26630,plain,
% 16.33/11.59 (((~![B: $i] : ((~less_3(B)) | (v90(constB189, B) <=> v90(constB188, B)))) | ((~less_3(bitIndex0)) | (v90(constB189, bitIndex0) <=> v90(constB188, bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v90(constB189, B) <=> v90(constB188, B)))) | (~less_3(bitIndex0)) | (v90(constB189, bitIndex0) <=> v90(constB188, bitIndex0)))),
% 16.33/11.59 inference(rewrite,[status(thm)],[])).
% 16.33/11.59 tff(26631,plain,
% 16.33/11.59 ((~![B: $i] : ((~less_3(B)) | (v90(constB189, B) <=> v90(constB188, B)))) | ((~less_3(bitIndex0)) | (v90(constB189, bitIndex0) <=> v90(constB188, bitIndex0)))),
% 16.33/11.59 inference(quant_inst,[status(thm)],[])).
% 16.33/11.59 tff(26632,plain,
% 16.33/11.59 ((~![B: $i] : ((~less_3(B)) | (v90(constB189, B) <=> v90(constB188, B)))) | (~less_3(bitIndex0)) | (v90(constB189, bitIndex0) <=> v90(constB188, bitIndex0))),
% 16.33/11.59 inference(modus_ponens,[status(thm)],[26631, 26630])).
% 16.33/11.59 tff(26633,plain,
% 16.33/11.59 (v90(constB189, bitIndex0) <=> v90(constB188, bitIndex0)),
% 16.33/11.59 inference(unit_resolution,[status(thm)],[26632, 5004, 24136])).
% 16.33/11.59 tff(26634,plain,
% 16.33/11.59 (((~![B: $i] : ((~less_3(B)) | (v90(constB188, B) <=> v129(constB188, B)))) | ((~less_3(bitIndex0)) | (v90(constB188, bitIndex0) <=> v129(constB188, bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v90(constB188, B) <=> v129(constB188, B)))) | (~less_3(bitIndex0)) | (v90(constB188, bitIndex0) <=> v129(constB188, bitIndex0)))),
% 16.33/11.59 inference(rewrite,[status(thm)],[])).
% 16.33/11.59 tff(26635,plain,
% 16.33/11.59 ((~![B: $i] : ((~less_3(B)) | (v90(constB188, B) <=> v129(constB188, B)))) | ((~less_3(bitIndex0)) | (v90(constB188, bitIndex0) <=> v129(constB188, bitIndex0)))),
% 16.33/11.59 inference(quant_inst,[status(thm)],[])).
% 16.33/11.59 tff(26636,plain,
% 16.33/11.59 ((~![B: $i] : ((~less_3(B)) | (v90(constB188, B) <=> v129(constB188, B)))) | (~less_3(bitIndex0)) | (v90(constB188, bitIndex0) <=> v129(constB188, bitIndex0))),
% 16.33/11.59 inference(modus_ponens,[status(thm)],[26635, 26634])).
% 16.33/11.59 tff(26637,plain,
% 16.33/11.59 (v90(constB188, bitIndex0) <=> v129(constB188, bitIndex0)),
% 16.33/11.59 inference(unit_resolution,[status(thm)],[26636, 5004, 26589])).
% 16.33/11.59 tff(26638,plain,
% 16.33/11.59 (((~![B: $i] : ((~less_3(B)) | (v129(constB188, B) <=> v127(constB187, B)))) | ((~less_3(bitIndex0)) | (v129(constB188, bitIndex0) <=> v127(constB187, bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v129(constB188, B) <=> v127(constB187, B)))) | (~less_3(bitIndex0)) | (v129(constB188, bitIndex0) <=> v127(constB187, bitIndex0)))),
% 16.33/11.60 inference(rewrite,[status(thm)],[])).
% 16.33/11.60 tff(26639,plain,
% 16.33/11.60 ((~![B: $i] : ((~less_3(B)) | (v129(constB188, B) <=> v127(constB187, B)))) | ((~less_3(bitIndex0)) | (v129(constB188, bitIndex0) <=> v127(constB187, bitIndex0)))),
% 16.33/11.60 inference(quant_inst,[status(thm)],[])).
% 16.33/11.60 tff(26640,plain,
% 16.33/11.60 ((~![B: $i] : ((~less_3(B)) | (v129(constB188, B) <=> v127(constB187, B)))) | (~less_3(bitIndex0)) | (v129(constB188, bitIndex0) <=> v127(constB187, bitIndex0))),
% 16.33/11.60 inference(modus_ponens,[status(thm)],[26639, 26638])).
% 16.33/11.60 tff(26641,plain,
% 16.33/11.60 (v129(constB188, bitIndex0) <=> v127(constB187, bitIndex0)),
% 16.33/11.60 inference(unit_resolution,[status(thm)],[26640, 5004, 26597])).
% 16.33/11.60 tff(26642,plain,
% 16.33/11.60 (((~![B: $i] : ((~less_3(B)) | (v127(constB187, B) <=> v130(constB187, B)))) | ((~less_3(bitIndex0)) | (v127(constB187, bitIndex0) <=> v130(constB187, bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v127(constB187, B) <=> v130(constB187, B)))) | (~less_3(bitIndex0)) | (v127(constB187, bitIndex0) <=> v130(constB187, bitIndex0)))),
% 16.33/11.60 inference(rewrite,[status(thm)],[])).
% 16.33/11.60 tff(26643,plain,
% 16.33/11.60 ((~![B: $i] : ((~less_3(B)) | (v127(constB187, B) <=> v130(constB187, B)))) | ((~less_3(bitIndex0)) | (v127(constB187, bitIndex0) <=> v130(constB187, bitIndex0)))),
% 16.33/11.60 inference(quant_inst,[status(thm)],[])).
% 16.33/11.60 tff(26644,plain,
% 16.33/11.60 ((~![B: $i] : ((~less_3(B)) | (v127(constB187, B) <=> v130(constB187, B)))) | (~less_3(bitIndex0)) | (v127(constB187, bitIndex0) <=> v130(constB187, bitIndex0))),
% 16.33/11.60 inference(modus_ponens,[status(thm)],[26643, 26642])).
% 16.33/11.60 tff(26645,plain,
% 16.33/11.60 (v127(constB187, bitIndex0) <=> v130(constB187, bitIndex0)),
% 16.33/11.60 inference(unit_resolution,[status(thm)],[26644, 5004, 26605])).
% 16.33/11.60 tff(26646,plain,
% 16.33/11.60 (((~![B: $i] : ((~less_3(B)) | (v130(constB187, B) <=> b010(B)))) | ((~less_3(bitIndex0)) | (v130(constB187, bitIndex0) <=> b010(bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v130(constB187, B) <=> b010(B)))) | (~less_3(bitIndex0)) | (v130(constB187, bitIndex0) <=> b010(bitIndex0)))),
% 16.33/11.60 inference(rewrite,[status(thm)],[])).
% 16.33/11.60 tff(26647,plain,
% 16.33/11.60 ((~![B: $i] : ((~less_3(B)) | (v130(constB187, B) <=> b010(B)))) | ((~less_3(bitIndex0)) | (v130(constB187, bitIndex0) <=> b010(bitIndex0)))),
% 16.33/11.60 inference(quant_inst,[status(thm)],[])).
% 16.33/11.60 tff(26648,plain,
% 16.33/11.60 ((~![B: $i] : ((~less_3(B)) | (v130(constB187, B) <=> b010(B)))) | (~less_3(bitIndex0)) | (v130(constB187, bitIndex0) <=> b010(bitIndex0))),
% 16.33/11.60 inference(modus_ponens,[status(thm)],[26647, 26646])).
% 16.33/11.60 tff(26649,plain,
% 16.33/11.60 (v130(constB187, bitIndex0) <=> b010(bitIndex0)),
% 16.33/11.60 inference(unit_resolution,[status(thm)],[26648, 5004, 26614])).
% 16.33/11.60 tff(26650,plain,
% 16.33/11.60 ((~(v130(constB187, bitIndex0) <=> b010(bitIndex0))) | (~v130(constB187, bitIndex0)) | b010(bitIndex0)),
% 16.33/11.60 inference(tautology,[status(thm)],[])).
% 16.33/11.60 tff(26651,plain,
% 16.33/11.60 ((~(v130(constB187, bitIndex0) <=> b010(bitIndex0))) | (~v130(constB187, bitIndex0))),
% 16.33/11.60 inference(unit_resolution,[status(thm)],[26650, 5843])).
% 16.33/11.60 tff(26652,plain,
% 16.33/11.60 (~v130(constB187, bitIndex0)),
% 16.33/11.60 inference(unit_resolution,[status(thm)],[26651, 26649])).
% 16.33/11.60 tff(26653,plain,
% 16.33/11.60 ((~(v127(constB187, bitIndex0) <=> v130(constB187, bitIndex0))) | (~v127(constB187, bitIndex0)) | v130(constB187, bitIndex0)),
% 16.33/11.60 inference(tautology,[status(thm)],[])).
% 16.33/11.60 tff(26654,plain,
% 16.33/11.60 (~v127(constB187, bitIndex0)),
% 16.33/11.60 inference(unit_resolution,[status(thm)],[26653, 26652, 26645])).
% 16.33/11.60 tff(26655,plain,
% 16.33/11.60 ((~(v129(constB188, bitIndex0) <=> v127(constB187, bitIndex0))) | (~v129(constB188, bitIndex0)) | v127(constB187, bitIndex0)),
% 16.33/11.60 inference(tautology,[status(thm)],[])).
% 16.33/11.60 tff(26656,plain,
% 16.33/11.60 (~v129(constB188, bitIndex0)),
% 16.33/11.60 inference(unit_resolution,[status(thm)],[26655, 26654, 26641])).
% 16.33/11.60 tff(26657,plain,
% 16.33/11.60 ((~(v90(constB188, bitIndex0) <=> v129(constB188, bitIndex0))) | (~v90(constB188, bitIndex0)) | v129(constB188, bitIndex0)),
% 16.33/11.60 inference(tautology,[status(thm)],[])).
% 16.33/11.60 tff(26658,plain,
% 16.33/11.60 (~v90(constB188, bitIndex0)),
% 16.33/11.60 inference(unit_resolution,[status(thm)],[26657, 26656, 26637])).
% 16.33/11.60 tff(26659,plain,
% 16.33/11.60 ((~(v90(constB189, bitIndex0) <=> v90(constB188, bitIndex0))) | (~v90(constB189, bitIndex0)) | v90(constB188, bitIndex0)),
% 16.33/11.60 inference(tautology,[status(thm)],[])).
% 16.33/11.60 tff(26660,plain,
% 16.33/11.60 (~v90(constB189, bitIndex0)),
% 16.33/11.60 inference(unit_resolution,[status(thm)],[26659, 26658, 26633])).
% 16.33/11.60 tff(26661,plain,
% 16.33/11.60 (((~![B: $i] : ((~less_3(B)) | (v90(constB189, B) <=> v90(constB188, B)))) | ((~less_3(bitIndex1)) | (v90(constB189, bitIndex1) <=> v90(constB188, bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v90(constB189, B) <=> v90(constB188, B)))) | (~less_3(bitIndex1)) | (v90(constB189, bitIndex1) <=> v90(constB188, bitIndex1)))),
% 16.33/11.60 inference(rewrite,[status(thm)],[])).
% 16.33/11.60 tff(26662,plain,
% 16.33/11.60 ((~![B: $i] : ((~less_3(B)) | (v90(constB189, B) <=> v90(constB188, B)))) | ((~less_3(bitIndex1)) | (v90(constB189, bitIndex1) <=> v90(constB188, bitIndex1)))),
% 16.33/11.60 inference(quant_inst,[status(thm)],[])).
% 16.33/11.60 tff(26663,plain,
% 16.33/11.60 ((~![B: $i] : ((~less_3(B)) | (v90(constB189, B) <=> v90(constB188, B)))) | (~less_3(bitIndex1)) | (v90(constB189, bitIndex1) <=> v90(constB188, bitIndex1))),
% 16.33/11.60 inference(modus_ponens,[status(thm)],[26662, 26661])).
% 16.33/11.60 tff(26664,plain,
% 16.33/11.60 (v90(constB189, bitIndex1) <=> v90(constB188, bitIndex1)),
% 16.33/11.60 inference(unit_resolution,[status(thm)],[26663, 5017, 24136])).
% 16.33/11.60 tff(26665,plain,
% 16.33/11.60 (((~![B: $i] : ((~less_3(B)) | (v90(constB188, B) <=> v129(constB188, B)))) | ((~less_3(bitIndex1)) | (v90(constB188, bitIndex1) <=> v129(constB188, bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v90(constB188, B) <=> v129(constB188, B)))) | (~less_3(bitIndex1)) | (v90(constB188, bitIndex1) <=> v129(constB188, bitIndex1)))),
% 16.33/11.60 inference(rewrite,[status(thm)],[])).
% 16.33/11.60 tff(26666,plain,
% 16.33/11.60 ((~![B: $i] : ((~less_3(B)) | (v90(constB188, B) <=> v129(constB188, B)))) | ((~less_3(bitIndex1)) | (v90(constB188, bitIndex1) <=> v129(constB188, bitIndex1)))),
% 16.33/11.60 inference(quant_inst,[status(thm)],[])).
% 16.33/11.60 tff(26667,plain,
% 16.33/11.60 ((~![B: $i] : ((~less_3(B)) | (v90(constB188, B) <=> v129(constB188, B)))) | (~less_3(bitIndex1)) | (v90(constB188, bitIndex1) <=> v129(constB188, bitIndex1))),
% 16.33/11.60 inference(modus_ponens,[status(thm)],[26666, 26665])).
% 16.33/11.60 tff(26668,plain,
% 16.33/11.60 (v90(constB188, bitIndex1) <=> v129(constB188, bitIndex1)),
% 16.33/11.60 inference(unit_resolution,[status(thm)],[26667, 5017, 26589])).
% 16.33/11.60 tff(26669,plain,
% 16.33/11.60 (((~![B: $i] : ((~less_3(B)) | (v129(constB188, B) <=> v127(constB187, B)))) | ((~less_3(bitIndex1)) | (v129(constB188, bitIndex1) <=> v127(constB187, bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v129(constB188, B) <=> v127(constB187, B)))) | (~less_3(bitIndex1)) | (v129(constB188, bitIndex1) <=> v127(constB187, bitIndex1)))),
% 16.33/11.60 inference(rewrite,[status(thm)],[])).
% 16.33/11.60 tff(26670,plain,
% 16.33/11.60 ((~![B: $i] : ((~less_3(B)) | (v129(constB188, B) <=> v127(constB187, B)))) | ((~less_3(bitIndex1)) | (v129(constB188, bitIndex1) <=> v127(constB187, bitIndex1)))),
% 16.33/11.60 inference(quant_inst,[status(thm)],[])).
% 16.33/11.60 tff(26671,plain,
% 16.33/11.60 ((~![B: $i] : ((~less_3(B)) | (v129(constB188, B) <=> v127(constB187, B)))) | (~less_3(bitIndex1)) | (v129(constB188, bitIndex1) <=> v127(constB187, bitIndex1))),
% 16.33/11.60 inference(modus_ponens,[status(thm)],[26670, 26669])).
% 16.33/11.60 tff(26672,plain,
% 16.33/11.60 (v129(constB188, bitIndex1) <=> v127(constB187, bitIndex1)),
% 16.33/11.60 inference(unit_resolution,[status(thm)],[26671, 5017, 26597])).
% 16.33/11.60 tff(26673,plain,
% 16.33/11.60 (((~![B: $i] : ((~less_3(B)) | (v127(constB187, B) <=> v130(constB187, B)))) | ((~less_3(bitIndex1)) | (v127(constB187, bitIndex1) <=> v130(constB187, bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v127(constB187, B) <=> v130(constB187, B)))) | (~less_3(bitIndex1)) | (v127(constB187, bitIndex1) <=> v130(constB187, bitIndex1)))),
% 16.33/11.60 inference(rewrite,[status(thm)],[])).
% 16.33/11.60 tff(26674,plain,
% 16.33/11.60 ((~![B: $i] : ((~less_3(B)) | (v127(constB187, B) <=> v130(constB187, B)))) | ((~less_3(bitIndex1)) | (v127(constB187, bitIndex1) <=> v130(constB187, bitIndex1)))),
% 16.33/11.60 inference(quant_inst,[status(thm)],[])).
% 16.33/11.60 tff(26675,plain,
% 16.33/11.60 ((~![B: $i] : ((~less_3(B)) | (v127(constB187, B) <=> v130(constB187, B)))) | (~less_3(bitIndex1)) | (v127(constB187, bitIndex1) <=> v130(constB187, bitIndex1))),
% 16.33/11.60 inference(modus_ponens,[status(thm)],[26674, 26673])).
% 16.33/11.60 tff(26676,plain,
% 16.33/11.60 (v127(constB187, bitIndex1) <=> v130(constB187, bitIndex1)),
% 16.33/11.60 inference(unit_resolution,[status(thm)],[26675, 5017, 26605])).
% 16.33/11.60 tff(26677,plain,
% 16.33/11.60 (((~![B: $i] : ((~less_3(B)) | (v130(constB187, B) <=> b010(B)))) | ((~less_3(bitIndex1)) | (v130(constB187, bitIndex1) <=> b010(bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v130(constB187, B) <=> b010(B)))) | (~less_3(bitIndex1)) | (v130(constB187, bitIndex1) <=> b010(bitIndex1)))),
% 16.33/11.60 inference(rewrite,[status(thm)],[])).
% 16.33/11.60 tff(26678,plain,
% 16.33/11.60 ((~![B: $i] : ((~less_3(B)) | (v130(constB187, B) <=> b010(B)))) | ((~less_3(bitIndex1)) | (v130(constB187, bitIndex1) <=> b010(bitIndex1)))),
% 16.33/11.60 inference(quant_inst,[status(thm)],[])).
% 16.33/11.60 tff(26679,plain,
% 16.33/11.60 ((~![B: $i] : ((~less_3(B)) | (v130(constB187, B) <=> b010(B)))) | (~less_3(bitIndex1)) | (v130(constB187, bitIndex1) <=> b010(bitIndex1))),
% 16.33/11.60 inference(modus_ponens,[status(thm)],[26678, 26677])).
% 16.33/11.60 tff(26680,plain,
% 16.33/11.60 (v130(constB187, bitIndex1) <=> b010(bitIndex1)),
% 16.33/11.60 inference(unit_resolution,[status(thm)],[26679, 5017, 26614])).
% 16.33/11.60 tff(26681,plain,
% 16.33/11.60 ((~(v130(constB187, bitIndex1) <=> b010(bitIndex1))) | v130(constB187, bitIndex1) | (~b010(bitIndex1))),
% 16.33/11.60 inference(tautology,[status(thm)],[])).
% 16.33/11.60 tff(26682,plain,
% 16.33/11.60 ((~(v130(constB187, bitIndex1) <=> b010(bitIndex1))) | v130(constB187, bitIndex1)),
% 16.33/11.60 inference(unit_resolution,[status(thm)],[26681, 5877])).
% 16.33/11.60 tff(26683,plain,
% 16.33/11.60 (v130(constB187, bitIndex1)),
% 16.33/11.60 inference(unit_resolution,[status(thm)],[26682, 26680])).
% 16.33/11.60 tff(26684,plain,
% 16.33/11.60 ((~(v127(constB187, bitIndex1) <=> v130(constB187, bitIndex1))) | v127(constB187, bitIndex1) | (~v130(constB187, bitIndex1))),
% 16.33/11.60 inference(tautology,[status(thm)],[])).
% 16.33/11.60 tff(26685,plain,
% 16.33/11.60 (v127(constB187, bitIndex1)),
% 16.33/11.60 inference(unit_resolution,[status(thm)],[26684, 26683, 26676])).
% 16.33/11.60 tff(26686,plain,
% 16.33/11.60 ((~(v129(constB188, bitIndex1) <=> v127(constB187, bitIndex1))) | v129(constB188, bitIndex1) | (~v127(constB187, bitIndex1))),
% 16.33/11.60 inference(tautology,[status(thm)],[])).
% 16.33/11.60 tff(26687,plain,
% 16.33/11.60 (v129(constB188, bitIndex1)),
% 16.33/11.60 inference(unit_resolution,[status(thm)],[26686, 26685, 26672])).
% 16.33/11.60 tff(26688,plain,
% 16.33/11.60 ((~(v90(constB188, bitIndex1) <=> v129(constB188, bitIndex1))) | v90(constB188, bitIndex1) | (~v129(constB188, bitIndex1))),
% 16.33/11.60 inference(tautology,[status(thm)],[])).
% 16.33/11.60 tff(26689,plain,
% 16.33/11.60 (v90(constB188, bitIndex1)),
% 16.33/11.60 inference(unit_resolution,[status(thm)],[26688, 26687, 26668])).
% 16.33/11.60 tff(26690,plain,
% 16.33/11.60 ((~(v90(constB189, bitIndex1) <=> v90(constB188, bitIndex1))) | v90(constB189, bitIndex1) | (~v90(constB188, bitIndex1))),
% 16.33/11.60 inference(tautology,[status(thm)],[])).
% 16.33/11.60 tff(26691,plain,
% 16.33/11.60 (v90(constB189, bitIndex1)),
% 16.33/11.60 inference(unit_resolution,[status(thm)],[26690, 26689, 26664])).
% 16.33/11.60 tff(26692,plain,
% 16.33/11.60 ((~(v90(constB189, bitIndex2) | (~v90(constB189, bitIndex1)) | v90(constB189, bitIndex0))) | v90(constB189, bitIndex2) | (~v90(constB189, bitIndex1)) | v90(constB189, bitIndex0)),
% 16.33/11.60 inference(tautology,[status(thm)],[])).
% 16.33/11.60 tff(26693,plain,
% 16.33/11.60 (~(v90(constB189, bitIndex2) | (~v90(constB189, bitIndex1)) | v90(constB189, bitIndex0))),
% 16.33/11.60 inference(unit_resolution,[status(thm)],[26692, 26691, 26660, 26629])).
% 16.33/11.60 tff(26694,plain,
% 16.33/11.60 ((~(v121(constB189) <=> (~(v90(constB189, bitIndex2) | (~v90(constB189, bitIndex1)) | v90(constB189, bitIndex0))))) | v121(constB189) | (v90(constB189, bitIndex2) | (~v90(constB189, bitIndex1)) | v90(constB189, bitIndex0))),
% 16.33/11.60 inference(tautology,[status(thm)],[])).
% 16.33/11.60 tff(26695,plain,
% 16.33/11.60 (v121(constB189)),
% 16.33/11.60 inference(unit_resolution,[status(thm)],[26694, 26693, 24108])).
% 16.33/11.60 tff(26696,plain,
% 16.33/11.60 ((v118(constB189) | v121(constB189)) | (~v121(constB189))),
% 16.33/11.60 inference(tautology,[status(thm)],[])).
% 16.33/11.60 tff(26697,plain,
% 16.33/11.60 (v118(constB189) | v121(constB189)),
% 16.33/11.60 inference(unit_resolution,[status(thm)],[26696, 26695])).
% 16.33/11.60 tff(26698,plain,
% 16.33/11.60 ((~(v117(constB189) <=> (v118(constB189) | v121(constB189)))) | v117(constB189) | (~(v118(constB189) | v121(constB189)))),
% 16.33/11.60 inference(tautology,[status(thm)],[])).
% 16.33/11.60 tff(26699,plain,
% 16.33/11.60 (v117(constB189)),
% 16.33/11.60 inference(unit_resolution,[status(thm)],[26698, 26697, 24101])).
% 16.33/11.60 tff(26700,plain,
% 16.33/11.60 ((v117(constB189) | v122(constB189)) | (~v117(constB189))),
% 16.33/11.60 inference(tautology,[status(thm)],[])).
% 16.33/11.60 tff(26701,plain,
% 16.33/11.60 (v117(constB189) | v122(constB189)),
% 16.33/11.60 inference(unit_resolution,[status(thm)],[26700, 26699])).
% 16.33/11.60 tff(26702,plain,
% 16.33/11.60 ((~(v116(constB189) <=> (v117(constB189) | v122(constB189)))) | v116(constB189) | (~(v117(constB189) | v122(constB189)))),
% 16.33/11.60 inference(tautology,[status(thm)],[])).
% 16.33/11.60 tff(26703,plain,
% 16.33/11.60 (v116(constB189)),
% 16.33/11.60 inference(unit_resolution,[status(thm)],[26702, 26701, 24099])).
% 16.33/11.60 tff(26704,plain,
% 16.33/11.60 ((v116(constB189) | v123(constB189)) | (~v116(constB189))),
% 16.33/11.60 inference(tautology,[status(thm)],[])).
% 16.33/11.60 tff(26705,plain,
% 16.33/11.60 (v116(constB189) | v123(constB189)),
% 16.33/11.60 inference(unit_resolution,[status(thm)],[26704, 26703])).
% 16.33/11.60 tff(26706,plain,
% 16.33/11.60 ((~(v115(constB189) <=> (v116(constB189) | v123(constB189)))) | v115(constB189) | (~(v116(constB189) | v123(constB189)))),
% 16.33/11.60 inference(tautology,[status(thm)],[])).
% 16.33/11.60 tff(26707,plain,
% 16.33/11.60 (v115(constB189)),
% 16.33/11.60 inference(unit_resolution,[status(thm)],[26706, 26705, 24097])).
% 16.33/11.60 tff(26708,plain,
% 16.33/11.60 ((v115(constB189) | v124(constB189)) | (~v115(constB189))),
% 16.33/11.60 inference(tautology,[status(thm)],[])).
% 16.33/11.60 tff(26709,plain,
% 16.33/11.60 (v115(constB189) | v124(constB189)),
% 16.33/11.60 inference(unit_resolution,[status(thm)],[26708, 26707])).
% 16.33/11.60 tff(26710,plain,
% 16.33/11.60 ((~(v114(constB189) <=> (v115(constB189) | v124(constB189)))) | v114(constB189) | (~(v115(constB189) | v124(constB189)))),
% 16.33/11.60 inference(tautology,[status(thm)],[])).
% 16.33/11.60 tff(26711,plain,
% 16.33/11.60 (v114(constB189)),
% 16.33/11.60 inference(unit_resolution,[status(thm)],[26710, 26709, 24095])).
% 16.33/11.60 tff(26712,plain,
% 16.33/11.60 ((v114(constB189) | v125(constB189)) | (~v114(constB189))),
% 16.33/11.60 inference(tautology,[status(thm)],[])).
% 16.33/11.60 tff(26713,plain,
% 16.33/11.60 (v114(constB189) | v125(constB189)),
% 16.33/11.60 inference(unit_resolution,[status(thm)],[26712, 26711])).
% 16.33/11.60 tff(26714,plain,
% 16.33/11.60 ((~(v113(constB189) <=> (v114(constB189) | v125(constB189)))) | v113(constB189) | (~(v114(constB189) | v125(constB189)))),
% 16.33/11.60 inference(tautology,[status(thm)],[])).
% 16.33/11.60 tff(26715,plain,
% 16.33/11.60 (v113(constB189)),
% 16.33/11.60 inference(unit_resolution,[status(thm)],[26714, 26713, 24093])).
% 16.33/11.60 tff(26716,plain,
% 16.33/11.60 ((~![VarCurr: $i] : ((~v126(VarCurr)) <=> v111(VarCurr))) | ((~v126(constB189)) <=> v111(constB189))),
% 16.33/11.60 inference(quant_inst,[status(thm)],[])).
% 16.33/11.60 tff(26717,plain,
% 16.33/11.60 ((~v126(constB189)) <=> v111(constB189)),
% 16.33/11.60 inference(unit_resolution,[status(thm)],[26716, 5074])).
% 16.33/11.60 tff(26718,plain,
% 16.33/11.60 ((~![VarCurr: $i] : (v111(VarCurr) <=> v26(VarCurr))) | (v111(constB189) <=> v26(constB189))),
% 16.33/11.60 inference(quant_inst,[status(thm)],[])).
% 16.33/11.60 tff(26719,plain,
% 16.33/11.60 (v111(constB189) <=> v26(constB189)),
% 16.33/11.60 inference(unit_resolution,[status(thm)],[26718, 5086])).
% 16.33/11.60 tff(26720,plain,
% 16.33/11.60 ((~![VarCurr: $i] : (~v26(VarCurr))) | (~v26(constB189))),
% 16.33/11.60 inference(quant_inst,[status(thm)],[])).
% 16.33/11.60 tff(26721,plain,
% 16.33/11.60 (~v26(constB189)),
% 16.33/11.60 inference(unit_resolution,[status(thm)],[26720, 5098])).
% 16.33/11.60 tff(26722,plain,
% 16.33/11.60 ((~(v111(constB189) <=> v26(constB189))) | (~v111(constB189)) | v26(constB189)),
% 16.33/11.60 inference(tautology,[status(thm)],[])).
% 16.33/11.60 tff(26723,plain,
% 16.33/11.60 ((~(v111(constB189) <=> v26(constB189))) | (~v111(constB189))),
% 16.33/11.60 inference(unit_resolution,[status(thm)],[26722, 26721])).
% 16.33/11.60 tff(26724,plain,
% 16.33/11.60 (~v111(constB189)),
% 16.33/11.60 inference(unit_resolution,[status(thm)],[26723, 26719])).
% 16.33/11.60 tff(26725,plain,
% 16.33/11.60 ((~((~v126(constB189)) <=> v111(constB189))) | v126(constB189) | v111(constB189)),
% 16.33/11.60 inference(tautology,[status(thm)],[])).
% 16.33/11.60 tff(26726,plain,
% 16.33/11.60 ((~((~v126(constB189)) <=> v111(constB189))) | v126(constB189)),
% 16.33/11.60 inference(unit_resolution,[status(thm)],[26725, 26724])).
% 16.33/11.60 tff(26727,plain,
% 16.33/11.60 (v126(constB189)),
% 16.33/11.60 inference(unit_resolution,[status(thm)],[26726, 26717])).
% 16.33/11.61 tff(26728,plain,
% 16.33/11.61 ((~((~v113(constB189)) | (~v126(constB189)))) | (~v113(constB189)) | (~v126(constB189))),
% 16.33/11.61 inference(tautology,[status(thm)],[])).
% 16.33/11.61 tff(26729,plain,
% 16.33/11.61 ((~((~v113(constB189)) | (~v126(constB189)))) | (~v113(constB189))),
% 16.33/11.61 inference(unit_resolution,[status(thm)],[26728, 26727])).
% 16.33/11.61 tff(26730,plain,
% 16.33/11.61 (~((~v113(constB189)) | (~v126(constB189)))),
% 16.33/11.61 inference(unit_resolution,[status(thm)],[26729, 26715])).
% 16.33/11.61 tff(26731,plain,
% 16.33/11.61 ((~(v112(constB189) <=> (~((~v113(constB189)) | (~v126(constB189)))))) | v112(constB189) | ((~v113(constB189)) | (~v126(constB189)))),
% 16.33/11.61 inference(tautology,[status(thm)],[])).
% 16.33/11.61 tff(26732,plain,
% 16.33/11.61 (v112(constB189)),
% 16.33/11.61 inference(unit_resolution,[status(thm)],[26731, 26730, 24091])).
% 16.33/11.61 tff(26733,plain,
% 16.33/11.61 ((v111(constB189) | v112(constB189)) | (~v112(constB189))),
% 16.33/11.61 inference(tautology,[status(thm)],[])).
% 16.33/11.61 tff(26734,plain,
% 16.33/11.61 (v111(constB189) | v112(constB189)),
% 16.33/11.61 inference(unit_resolution,[status(thm)],[26733, 26732])).
% 16.33/11.61 tff(26735,plain,
% 16.33/11.61 ((~(v108(constB189) <=> (v111(constB189) | v112(constB189)))) | v108(constB189) | (~(v111(constB189) | v112(constB189)))),
% 16.33/11.61 inference(tautology,[status(thm)],[])).
% 16.33/11.61 tff(26736,plain,
% 16.33/11.61 (v108(constB189)),
% 16.33/11.61 inference(unit_resolution,[status(thm)],[26735, 26734, 24089])).
% 16.33/11.61 tff(26737,plain,
% 16.33/11.61 ((~(v110(constB190) <=> v108(constB189))) | v110(constB190) | (~v108(constB189))),
% 16.33/11.61 inference(tautology,[status(thm)],[])).
% 16.33/11.61 tff(26738,plain,
% 16.33/11.61 (v110(constB190)),
% 16.33/11.61 inference(unit_resolution,[status(thm)],[26737, 26736, 24087])).
% 16.33/11.61 tff(26739,plain,
% 16.33/11.61 ((~((~v101(constB190)) | (~v110(constB190)))) | (~v101(constB190)) | (~v110(constB190))),
% 16.33/11.61 inference(tautology,[status(thm)],[])).
% 16.33/11.61 tff(26740,plain,
% 16.33/11.61 (~((~v101(constB190)) | (~v110(constB190)))),
% 16.33/11.61 inference(unit_resolution,[status(thm)],[26739, 26738, 24083])).
% 16.33/11.61 tff(26741,plain,
% 16.33/11.61 ((~(v100(constB190) <=> (~((~v101(constB190)) | (~v110(constB190)))))) | v100(constB190) | ((~v101(constB190)) | (~v110(constB190)))),
% 16.33/11.61 inference(tautology,[status(thm)],[])).
% 16.33/11.61 tff(26742,plain,
% 16.33/11.61 (v100(constB190)),
% 16.33/11.61 inference(unit_resolution,[status(thm)],[26741, 26740, 24052])).
% 16.33/11.61 tff(26743,plain,
% 16.33/11.61 (((~![VarNext: $i] : ((~v100(VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v129(VarNext, B))))) | ((~v100(constB190)) | ![B: $i] : ((~less_3(B)) | (v90(constB190, B) <=> v129(constB190, B))))) <=> ((~![VarNext: $i] : ((~v100(VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v129(VarNext, B))))) | (~v100(constB190)) | ![B: $i] : ((~less_3(B)) | (v90(constB190, B) <=> v129(constB190, B))))),
% 16.33/11.61 inference(rewrite,[status(thm)],[])).
% 16.33/11.61 tff(26744,plain,
% 16.33/11.61 ((~![VarNext: $i] : ((~v100(VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v129(VarNext, B))))) | ((~v100(constB190)) | ![B: $i] : ((~less_3(B)) | (v90(constB190, B) <=> v129(constB190, B))))),
% 16.33/11.61 inference(quant_inst,[status(thm)],[])).
% 16.33/11.61 tff(26745,plain,
% 16.33/11.61 ((~![VarNext: $i] : ((~v100(VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v129(VarNext, B))))) | (~v100(constB190)) | ![B: $i] : ((~less_3(B)) | (v90(constB190, B) <=> v129(constB190, B)))),
% 16.33/11.61 inference(modus_ponens,[status(thm)],[26744, 26743])).
% 16.33/11.61 tff(26746,plain,
% 16.33/11.61 ((~v100(constB190)) | ![B: $i] : ((~less_3(B)) | (v90(constB190, B) <=> v129(constB190, B)))),
% 16.33/11.61 inference(unit_resolution,[status(thm)],[26745, 5134])).
% 16.33/11.61 tff(26747,plain,
% 16.33/11.61 (![B: $i] : ((~less_3(B)) | (v90(constB190, B) <=> v129(constB190, B)))),
% 16.33/11.61 inference(unit_resolution,[status(thm)],[26746, 26742])).
% 16.33/11.61 tff(26748,plain,
% 16.33/11.61 (((~![B: $i] : ((~less_3(B)) | (v90(constB190, B) <=> v129(constB190, B)))) | ((~less_3(bitIndex2)) | (v90(constB190, bitIndex2) <=> v129(constB190, bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v90(constB190, B) <=> v129(constB190, B)))) | (~less_3(bitIndex2)) | (v90(constB190, bitIndex2) <=> v129(constB190, bitIndex2)))),
% 16.33/11.61 inference(rewrite,[status(thm)],[])).
% 16.33/11.61 tff(26749,plain,
% 16.33/11.61 ((~![B: $i] : ((~less_3(B)) | (v90(constB190, B) <=> v129(constB190, B)))) | ((~less_3(bitIndex2)) | (v90(constB190, bitIndex2) <=> v129(constB190, bitIndex2)))),
% 16.33/11.61 inference(quant_inst,[status(thm)],[])).
% 16.33/11.61 tff(26750,plain,
% 16.33/11.61 ((~![B: $i] : ((~less_3(B)) | (v90(constB190, B) <=> v129(constB190, B)))) | (~less_3(bitIndex2)) | (v90(constB190, bitIndex2) <=> v129(constB190, bitIndex2))),
% 16.33/11.61 inference(modus_ponens,[status(thm)],[26749, 26748])).
% 16.33/11.61 tff(26751,plain,
% 16.33/11.61 (v90(constB190, bitIndex2) <=> v129(constB190, bitIndex2)),
% 16.33/11.61 inference(unit_resolution,[status(thm)],[26750, 413, 26747])).
% 16.33/11.61 tff(26752,plain,
% 16.33/11.61 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v129(VarNext, B) <=> v127(VarCurr, B))))) | ((~nextState(constB189, constB190)) | ![B: $i] : ((~less_3(B)) | (v129(constB190, B) <=> v127(constB189, B))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v129(VarNext, B) <=> v127(VarCurr, B))))) | (~nextState(constB189, constB190)) | ![B: $i] : ((~less_3(B)) | (v129(constB190, B) <=> v127(constB189, B))))),
% 16.33/11.61 inference(rewrite,[status(thm)],[])).
% 16.33/11.61 tff(26753,plain,
% 16.33/11.61 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v129(VarNext, B) <=> v127(VarCurr, B))))) | ((~nextState(constB189, constB190)) | ![B: $i] : ((~less_3(B)) | (v129(constB190, B) <=> v127(constB189, B))))),
% 16.33/11.61 inference(quant_inst,[status(thm)],[])).
% 16.33/11.61 tff(26754,plain,
% 16.33/11.61 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v129(VarNext, B) <=> v127(VarCurr, B))))) | (~nextState(constB189, constB190)) | ![B: $i] : ((~less_3(B)) | (v129(constB190, B) <=> v127(constB189, B)))),
% 16.33/11.61 inference(modus_ponens,[status(thm)],[26753, 26752])).
% 16.33/11.61 tff(26755,plain,
% 16.33/11.61 (![B: $i] : ((~less_3(B)) | (v129(constB190, B) <=> v127(constB189, B)))),
% 16.33/11.61 inference(unit_resolution,[status(thm)],[26754, 24048, 5156])).
% 16.33/11.61 tff(26756,plain,
% 16.33/11.61 (((~![B: $i] : ((~less_3(B)) | (v129(constB190, B) <=> v127(constB189, B)))) | ((~less_3(bitIndex2)) | (v129(constB190, bitIndex2) <=> v127(constB189, bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v129(constB190, B) <=> v127(constB189, B)))) | (~less_3(bitIndex2)) | (v129(constB190, bitIndex2) <=> v127(constB189, bitIndex2)))),
% 16.33/11.61 inference(rewrite,[status(thm)],[])).
% 16.33/11.61 tff(26757,plain,
% 16.33/11.61 ((~![B: $i] : ((~less_3(B)) | (v129(constB190, B) <=> v127(constB189, B)))) | ((~less_3(bitIndex2)) | (v129(constB190, bitIndex2) <=> v127(constB189, bitIndex2)))),
% 16.33/11.61 inference(quant_inst,[status(thm)],[])).
% 16.33/11.61 tff(26758,plain,
% 16.33/11.61 ((~![B: $i] : ((~less_3(B)) | (v129(constB190, B) <=> v127(constB189, B)))) | (~less_3(bitIndex2)) | (v129(constB190, bitIndex2) <=> v127(constB189, bitIndex2))),
% 16.33/11.61 inference(modus_ponens,[status(thm)],[26757, 26756])).
% 16.33/11.61 tff(26759,plain,
% 16.33/11.61 (v129(constB190, bitIndex2) <=> v127(constB189, bitIndex2)),
% 16.33/11.61 inference(unit_resolution,[status(thm)],[26758, 413, 26755])).
% 16.33/11.61 tff(26760,plain,
% 16.33/11.61 (((~![VarCurr: $i] : (v111(VarCurr) | ![B: $i] : ((~less_3(B)) | (v127(VarCurr, B) <=> v130(VarCurr, B))))) | (v111(constB189) | ![B: $i] : ((~less_3(B)) | (v127(constB189, B) <=> v130(constB189, B))))) <=> ((~![VarCurr: $i] : (v111(VarCurr) | ![B: $i] : ((~less_3(B)) | (v127(VarCurr, B) <=> v130(VarCurr, B))))) | v111(constB189) | ![B: $i] : ((~less_3(B)) | (v127(constB189, B) <=> v130(constB189, B))))),
% 16.33/11.61 inference(rewrite,[status(thm)],[])).
% 16.33/11.61 tff(26761,plain,
% 16.33/11.61 ((~![VarCurr: $i] : (v111(VarCurr) | ![B: $i] : ((~less_3(B)) | (v127(VarCurr, B) <=> v130(VarCurr, B))))) | (v111(constB189) | ![B: $i] : ((~less_3(B)) | (v127(constB189, B) <=> v130(constB189, B))))),
% 16.33/11.61 inference(quant_inst,[status(thm)],[])).
% 16.33/11.61 tff(26762,plain,
% 16.33/11.61 ((~![VarCurr: $i] : (v111(VarCurr) | ![B: $i] : ((~less_3(B)) | (v127(VarCurr, B) <=> v130(VarCurr, B))))) | v111(constB189) | ![B: $i] : ((~less_3(B)) | (v127(constB189, B) <=> v130(constB189, B)))),
% 16.33/11.61 inference(modus_ponens,[status(thm)],[26761, 26760])).
% 16.33/11.61 tff(26763,plain,
% 16.33/11.61 (![B: $i] : ((~less_3(B)) | (v127(constB189, B) <=> v130(constB189, B)))),
% 16.33/11.61 inference(unit_resolution,[status(thm)],[26762, 5177, 26724])).
% 16.33/11.61 tff(26764,plain,
% 16.33/11.61 (((~![B: $i] : ((~less_3(B)) | (v127(constB189, B) <=> v130(constB189, B)))) | ((~less_3(bitIndex2)) | (v127(constB189, bitIndex2) <=> v130(constB189, bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v127(constB189, B) <=> v130(constB189, B)))) | (~less_3(bitIndex2)) | (v127(constB189, bitIndex2) <=> v130(constB189, bitIndex2)))),
% 16.33/11.61 inference(rewrite,[status(thm)],[])).
% 16.33/11.61 tff(26765,plain,
% 16.33/11.61 ((~![B: $i] : ((~less_3(B)) | (v127(constB189, B) <=> v130(constB189, B)))) | ((~less_3(bitIndex2)) | (v127(constB189, bitIndex2) <=> v130(constB189, bitIndex2)))),
% 16.33/11.61 inference(quant_inst,[status(thm)],[])).
% 16.33/11.61 tff(26766,plain,
% 16.33/11.61 ((~![B: $i] : ((~less_3(B)) | (v127(constB189, B) <=> v130(constB189, B)))) | (~less_3(bitIndex2)) | (v127(constB189, bitIndex2) <=> v130(constB189, bitIndex2))),
% 16.33/11.61 inference(modus_ponens,[status(thm)],[26765, 26764])).
% 16.33/11.61 tff(26767,plain,
% 16.33/11.61 (v127(constB189, bitIndex2) <=> v130(constB189, bitIndex2)),
% 16.33/11.61 inference(unit_resolution,[status(thm)],[26766, 413, 26763])).
% 16.33/11.61 tff(26768,plain,
% 16.33/11.61 (((~![VarCurr: $i] : ((~v121(VarCurr)) | ![B: $i] : ((~less_3(B)) | (v130(VarCurr, B) <=> b011(B))))) | ((~v121(constB189)) | ![B: $i] : ((~less_3(B)) | (v130(constB189, B) <=> b011(B))))) <=> ((~![VarCurr: $i] : ((~v121(VarCurr)) | ![B: $i] : ((~less_3(B)) | (v130(VarCurr, B) <=> b011(B))))) | (~v121(constB189)) | ![B: $i] : ((~less_3(B)) | (v130(constB189, B) <=> b011(B))))),
% 16.33/11.61 inference(rewrite,[status(thm)],[])).
% 16.33/11.61 tff(26769,plain,
% 16.33/11.61 ((~![VarCurr: $i] : ((~v121(VarCurr)) | ![B: $i] : ((~less_3(B)) | (v130(VarCurr, B) <=> b011(B))))) | ((~v121(constB189)) | ![B: $i] : ((~less_3(B)) | (v130(constB189, B) <=> b011(B))))),
% 16.33/11.61 inference(quant_inst,[status(thm)],[])).
% 16.33/11.61 tff(26770,plain,
% 16.33/11.61 ((~![VarCurr: $i] : ((~v121(VarCurr)) | ![B: $i] : ((~less_3(B)) | (v130(VarCurr, B) <=> b011(B))))) | (~v121(constB189)) | ![B: $i] : ((~less_3(B)) | (v130(constB189, B) <=> b011(B)))),
% 16.33/11.61 inference(modus_ponens,[status(thm)],[26769, 26768])).
% 16.33/11.61 tff(26771,plain,
% 16.33/11.61 ((~v121(constB189)) | ![B: $i] : ((~less_3(B)) | (v130(constB189, B) <=> b011(B)))),
% 16.33/11.61 inference(unit_resolution,[status(thm)],[26770, 5977])).
% 16.33/11.61 tff(26772,plain,
% 16.33/11.61 (![B: $i] : ((~less_3(B)) | (v130(constB189, B) <=> b011(B)))),
% 16.33/11.61 inference(unit_resolution,[status(thm)],[26771, 26695])).
% 16.33/11.61 tff(26773,plain,
% 16.33/11.61 (((~![B: $i] : ((~less_3(B)) | (v130(constB189, B) <=> b011(B)))) | ((~less_3(bitIndex2)) | (v130(constB189, bitIndex2) <=> b011(bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v130(constB189, B) <=> b011(B)))) | (~less_3(bitIndex2)) | (v130(constB189, bitIndex2) <=> b011(bitIndex2)))),
% 16.33/11.61 inference(rewrite,[status(thm)],[])).
% 16.33/11.61 tff(26774,plain,
% 16.33/11.61 ((~![B: $i] : ((~less_3(B)) | (v130(constB189, B) <=> b011(B)))) | ((~less_3(bitIndex2)) | (v130(constB189, bitIndex2) <=> b011(bitIndex2)))),
% 16.33/11.61 inference(quant_inst,[status(thm)],[])).
% 16.33/11.61 tff(26775,plain,
% 16.33/11.61 ((~![B: $i] : ((~less_3(B)) | (v130(constB189, B) <=> b011(B)))) | (~less_3(bitIndex2)) | (v130(constB189, bitIndex2) <=> b011(bitIndex2))),
% 16.33/11.61 inference(modus_ponens,[status(thm)],[26774, 26773])).
% 16.33/11.61 tff(26776,plain,
% 16.33/11.61 (v130(constB189, bitIndex2) <=> b011(bitIndex2)),
% 16.33/11.61 inference(unit_resolution,[status(thm)],[26775, 413, 26772])).
% 16.33/11.61 tff(26777,plain,
% 16.33/11.61 ((~(v130(constB189, bitIndex2) <=> b011(bitIndex2))) | (~v130(constB189, bitIndex2)) | b011(bitIndex2)),
% 16.33/11.61 inference(tautology,[status(thm)],[])).
% 16.33/11.61 tff(26778,plain,
% 16.33/11.61 ((~(v130(constB189, bitIndex2) <=> b011(bitIndex2))) | (~v130(constB189, bitIndex2))),
% 16.33/11.61 inference(unit_resolution,[status(thm)],[26777, 5989])).
% 16.33/11.61 tff(26779,plain,
% 16.33/11.61 (~v130(constB189, bitIndex2)),
% 16.33/11.61 inference(unit_resolution,[status(thm)],[26778, 26776])).
% 16.33/11.61 tff(26780,plain,
% 16.33/11.61 ((~(v127(constB189, bitIndex2) <=> v130(constB189, bitIndex2))) | (~v127(constB189, bitIndex2)) | v130(constB189, bitIndex2)),
% 16.33/11.61 inference(tautology,[status(thm)],[])).
% 16.33/11.61 tff(26781,plain,
% 16.33/11.61 (~v127(constB189, bitIndex2)),
% 16.33/11.61 inference(unit_resolution,[status(thm)],[26780, 26779, 26767])).
% 16.33/11.61 tff(26782,plain,
% 16.33/11.61 ((~(v129(constB190, bitIndex2) <=> v127(constB189, bitIndex2))) | (~v129(constB190, bitIndex2)) | v127(constB189, bitIndex2)),
% 16.33/11.61 inference(tautology,[status(thm)],[])).
% 16.41/11.61 tff(26783,plain,
% 16.41/11.61 (~v129(constB190, bitIndex2)),
% 16.41/11.61 inference(unit_resolution,[status(thm)],[26782, 26781, 26759])).
% 16.41/11.61 tff(26784,plain,
% 16.41/11.61 ((~(v90(constB190, bitIndex2) <=> v129(constB190, bitIndex2))) | (~v90(constB190, bitIndex2)) | v129(constB190, bitIndex2)),
% 16.41/11.61 inference(tautology,[status(thm)],[])).
% 16.41/11.61 tff(26785,plain,
% 16.41/11.61 (~v90(constB190, bitIndex2)),
% 16.41/11.61 inference(unit_resolution,[status(thm)],[26784, 26783, 26751])).
% 16.41/11.61 tff(26786,plain,
% 16.41/11.61 ((~(v90(constB191, bitIndex2) <=> v90(constB190, bitIndex2))) | (~v90(constB191, bitIndex2)) | v90(constB190, bitIndex2)),
% 16.41/11.61 inference(tautology,[status(thm)],[])).
% 16.41/11.61 tff(26787,plain,
% 16.41/11.61 (~v90(constB191, bitIndex2)),
% 16.41/11.61 inference(unit_resolution,[status(thm)],[26786, 26785, 24045])).
% 16.41/11.61 tff(26788,plain,
% 16.41/11.61 (((~![B: $i] : ((~less_3(B)) | (v90(constB191, B) <=> v90(constB190, B)))) | ((~less_3(bitIndex0)) | (v90(constB191, bitIndex0) <=> v90(constB190, bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v90(constB191, B) <=> v90(constB190, B)))) | (~less_3(bitIndex0)) | (v90(constB191, bitIndex0) <=> v90(constB190, bitIndex0)))),
% 16.41/11.61 inference(rewrite,[status(thm)],[])).
% 16.41/11.61 tff(26789,plain,
% 16.41/11.61 ((~![B: $i] : ((~less_3(B)) | (v90(constB191, B) <=> v90(constB190, B)))) | ((~less_3(bitIndex0)) | (v90(constB191, bitIndex0) <=> v90(constB190, bitIndex0)))),
% 16.41/11.61 inference(quant_inst,[status(thm)],[])).
% 16.41/11.61 tff(26790,plain,
% 16.41/11.61 ((~![B: $i] : ((~less_3(B)) | (v90(constB191, B) <=> v90(constB190, B)))) | (~less_3(bitIndex0)) | (v90(constB191, bitIndex0) <=> v90(constB190, bitIndex0))),
% 16.41/11.61 inference(modus_ponens,[status(thm)],[26789, 26788])).
% 16.41/11.61 tff(26791,plain,
% 16.41/11.61 (v90(constB191, bitIndex0) <=> v90(constB190, bitIndex0)),
% 16.41/11.61 inference(unit_resolution,[status(thm)],[26790, 5004, 24041])).
% 16.41/11.61 tff(26792,plain,
% 16.41/11.61 (((~![B: $i] : ((~less_3(B)) | (v90(constB190, B) <=> v129(constB190, B)))) | ((~less_3(bitIndex0)) | (v90(constB190, bitIndex0) <=> v129(constB190, bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v90(constB190, B) <=> v129(constB190, B)))) | (~less_3(bitIndex0)) | (v90(constB190, bitIndex0) <=> v129(constB190, bitIndex0)))),
% 16.41/11.61 inference(rewrite,[status(thm)],[])).
% 16.41/11.61 tff(26793,plain,
% 16.41/11.61 ((~![B: $i] : ((~less_3(B)) | (v90(constB190, B) <=> v129(constB190, B)))) | ((~less_3(bitIndex0)) | (v90(constB190, bitIndex0) <=> v129(constB190, bitIndex0)))),
% 16.41/11.61 inference(quant_inst,[status(thm)],[])).
% 16.41/11.61 tff(26794,plain,
% 16.41/11.61 ((~![B: $i] : ((~less_3(B)) | (v90(constB190, B) <=> v129(constB190, B)))) | (~less_3(bitIndex0)) | (v90(constB190, bitIndex0) <=> v129(constB190, bitIndex0))),
% 16.41/11.61 inference(modus_ponens,[status(thm)],[26793, 26792])).
% 16.41/11.61 tff(26795,plain,
% 16.41/11.61 (v90(constB190, bitIndex0) <=> v129(constB190, bitIndex0)),
% 16.41/11.61 inference(unit_resolution,[status(thm)],[26794, 5004, 26747])).
% 16.41/11.61 tff(26796,plain,
% 16.41/11.61 (((~![B: $i] : ((~less_3(B)) | (v129(constB190, B) <=> v127(constB189, B)))) | ((~less_3(bitIndex0)) | (v129(constB190, bitIndex0) <=> v127(constB189, bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v129(constB190, B) <=> v127(constB189, B)))) | (~less_3(bitIndex0)) | (v129(constB190, bitIndex0) <=> v127(constB189, bitIndex0)))),
% 16.41/11.61 inference(rewrite,[status(thm)],[])).
% 16.41/11.61 tff(26797,plain,
% 16.41/11.61 ((~![B: $i] : ((~less_3(B)) | (v129(constB190, B) <=> v127(constB189, B)))) | ((~less_3(bitIndex0)) | (v129(constB190, bitIndex0) <=> v127(constB189, bitIndex0)))),
% 16.41/11.61 inference(quant_inst,[status(thm)],[])).
% 16.41/11.61 tff(26798,plain,
% 16.41/11.61 ((~![B: $i] : ((~less_3(B)) | (v129(constB190, B) <=> v127(constB189, B)))) | (~less_3(bitIndex0)) | (v129(constB190, bitIndex0) <=> v127(constB189, bitIndex0))),
% 16.41/11.61 inference(modus_ponens,[status(thm)],[26797, 26796])).
% 16.41/11.61 tff(26799,plain,
% 16.41/11.61 (v129(constB190, bitIndex0) <=> v127(constB189, bitIndex0)),
% 16.41/11.61 inference(unit_resolution,[status(thm)],[26798, 5004, 26755])).
% 16.41/11.61 tff(26800,plain,
% 16.41/11.61 (((~![B: $i] : ((~less_3(B)) | (v127(constB189, B) <=> v130(constB189, B)))) | ((~less_3(bitIndex0)) | (v127(constB189, bitIndex0) <=> v130(constB189, bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v127(constB189, B) <=> v130(constB189, B)))) | (~less_3(bitIndex0)) | (v127(constB189, bitIndex0) <=> v130(constB189, bitIndex0)))),
% 16.41/11.62 inference(rewrite,[status(thm)],[])).
% 16.41/11.62 tff(26801,plain,
% 16.41/11.62 ((~![B: $i] : ((~less_3(B)) | (v127(constB189, B) <=> v130(constB189, B)))) | ((~less_3(bitIndex0)) | (v127(constB189, bitIndex0) <=> v130(constB189, bitIndex0)))),
% 16.41/11.62 inference(quant_inst,[status(thm)],[])).
% 16.41/11.62 tff(26802,plain,
% 16.41/11.62 ((~![B: $i] : ((~less_3(B)) | (v127(constB189, B) <=> v130(constB189, B)))) | (~less_3(bitIndex0)) | (v127(constB189, bitIndex0) <=> v130(constB189, bitIndex0))),
% 16.41/11.62 inference(modus_ponens,[status(thm)],[26801, 26800])).
% 16.41/11.62 tff(26803,plain,
% 16.41/11.62 (v127(constB189, bitIndex0) <=> v130(constB189, bitIndex0)),
% 16.41/11.62 inference(unit_resolution,[status(thm)],[26802, 5004, 26763])).
% 16.41/11.62 tff(26804,plain,
% 16.41/11.62 (((~![B: $i] : ((~less_3(B)) | (v130(constB189, B) <=> b011(B)))) | ((~less_3(bitIndex0)) | (v130(constB189, bitIndex0) <=> b011(bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v130(constB189, B) <=> b011(B)))) | (~less_3(bitIndex0)) | (v130(constB189, bitIndex0) <=> b011(bitIndex0)))),
% 16.41/11.62 inference(rewrite,[status(thm)],[])).
% 16.41/11.62 tff(26805,plain,
% 16.41/11.62 ((~![B: $i] : ((~less_3(B)) | (v130(constB189, B) <=> b011(B)))) | ((~less_3(bitIndex0)) | (v130(constB189, bitIndex0) <=> b011(bitIndex0)))),
% 16.41/11.62 inference(quant_inst,[status(thm)],[])).
% 16.41/11.62 tff(26806,plain,
% 16.41/11.62 ((~![B: $i] : ((~less_3(B)) | (v130(constB189, B) <=> b011(B)))) | (~less_3(bitIndex0)) | (v130(constB189, bitIndex0) <=> b011(bitIndex0))),
% 16.41/11.62 inference(modus_ponens,[status(thm)],[26805, 26804])).
% 16.41/11.62 tff(26807,plain,
% 16.41/11.62 (v130(constB189, bitIndex0) <=> b011(bitIndex0)),
% 16.41/11.62 inference(unit_resolution,[status(thm)],[26806, 5004, 26772])).
% 16.41/11.62 tff(26808,plain,
% 16.41/11.62 ((~(v130(constB189, bitIndex0) <=> b011(bitIndex0))) | v130(constB189, bitIndex0) | (~b011(bitIndex0))),
% 16.41/11.62 inference(tautology,[status(thm)],[])).
% 16.41/11.62 tff(26809,plain,
% 16.41/11.62 ((~(v130(constB189, bitIndex0) <=> b011(bitIndex0))) | v130(constB189, bitIndex0)),
% 16.41/11.62 inference(unit_resolution,[status(thm)],[26808, 6023])).
% 16.41/11.62 tff(26810,plain,
% 16.41/11.62 (v130(constB189, bitIndex0)),
% 16.41/11.62 inference(unit_resolution,[status(thm)],[26809, 26807])).
% 16.41/11.62 tff(26811,plain,
% 16.41/11.62 ((~(v127(constB189, bitIndex0) <=> v130(constB189, bitIndex0))) | v127(constB189, bitIndex0) | (~v130(constB189, bitIndex0))),
% 16.41/11.62 inference(tautology,[status(thm)],[])).
% 16.41/11.62 tff(26812,plain,
% 16.41/11.62 (v127(constB189, bitIndex0)),
% 16.41/11.62 inference(unit_resolution,[status(thm)],[26811, 26810, 26803])).
% 16.41/11.62 tff(26813,plain,
% 16.41/11.62 ((~(v129(constB190, bitIndex0) <=> v127(constB189, bitIndex0))) | v129(constB190, bitIndex0) | (~v127(constB189, bitIndex0))),
% 16.41/11.62 inference(tautology,[status(thm)],[])).
% 16.41/11.62 tff(26814,plain,
% 16.41/11.62 (v129(constB190, bitIndex0)),
% 16.41/11.62 inference(unit_resolution,[status(thm)],[26813, 26812, 26799])).
% 16.41/11.62 tff(26815,plain,
% 16.41/11.62 ((~(v90(constB190, bitIndex0) <=> v129(constB190, bitIndex0))) | v90(constB190, bitIndex0) | (~v129(constB190, bitIndex0))),
% 16.41/11.62 inference(tautology,[status(thm)],[])).
% 16.41/11.62 tff(26816,plain,
% 16.41/11.62 (v90(constB190, bitIndex0)),
% 16.41/11.62 inference(unit_resolution,[status(thm)],[26815, 26814, 26795])).
% 16.41/11.62 tff(26817,plain,
% 16.41/11.62 ((~(v90(constB191, bitIndex0) <=> v90(constB190, bitIndex0))) | v90(constB191, bitIndex0) | (~v90(constB190, bitIndex0))),
% 16.41/11.62 inference(tautology,[status(thm)],[])).
% 16.41/11.62 tff(26818,plain,
% 16.41/11.62 (v90(constB191, bitIndex0)),
% 16.41/11.62 inference(unit_resolution,[status(thm)],[26817, 26816, 26791])).
% 16.41/11.62 tff(26819,plain,
% 16.41/11.62 (((~![B: $i] : ((~less_3(B)) | (v90(constB191, B) <=> v90(constB190, B)))) | ((~less_3(bitIndex1)) | (v90(constB191, bitIndex1) <=> v90(constB190, bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v90(constB191, B) <=> v90(constB190, B)))) | (~less_3(bitIndex1)) | (v90(constB191, bitIndex1) <=> v90(constB190, bitIndex1)))),
% 16.41/11.62 inference(rewrite,[status(thm)],[])).
% 16.41/11.62 tff(26820,plain,
% 16.41/11.62 ((~![B: $i] : ((~less_3(B)) | (v90(constB191, B) <=> v90(constB190, B)))) | ((~less_3(bitIndex1)) | (v90(constB191, bitIndex1) <=> v90(constB190, bitIndex1)))),
% 16.41/11.62 inference(quant_inst,[status(thm)],[])).
% 16.41/11.62 tff(26821,plain,
% 16.41/11.62 ((~![B: $i] : ((~less_3(B)) | (v90(constB191, B) <=> v90(constB190, B)))) | (~less_3(bitIndex1)) | (v90(constB191, bitIndex1) <=> v90(constB190, bitIndex1))),
% 16.41/11.62 inference(modus_ponens,[status(thm)],[26820, 26819])).
% 16.41/11.62 tff(26822,plain,
% 16.41/11.62 (v90(constB191, bitIndex1) <=> v90(constB190, bitIndex1)),
% 16.41/11.62 inference(unit_resolution,[status(thm)],[26821, 5017, 24041])).
% 16.41/11.62 tff(26823,plain,
% 16.41/11.62 (((~![B: $i] : ((~less_3(B)) | (v90(constB190, B) <=> v129(constB190, B)))) | ((~less_3(bitIndex1)) | (v90(constB190, bitIndex1) <=> v129(constB190, bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v90(constB190, B) <=> v129(constB190, B)))) | (~less_3(bitIndex1)) | (v90(constB190, bitIndex1) <=> v129(constB190, bitIndex1)))),
% 16.41/11.62 inference(rewrite,[status(thm)],[])).
% 16.41/11.62 tff(26824,plain,
% 16.41/11.62 ((~![B: $i] : ((~less_3(B)) | (v90(constB190, B) <=> v129(constB190, B)))) | ((~less_3(bitIndex1)) | (v90(constB190, bitIndex1) <=> v129(constB190, bitIndex1)))),
% 16.41/11.62 inference(quant_inst,[status(thm)],[])).
% 16.41/11.62 tff(26825,plain,
% 16.41/11.62 ((~![B: $i] : ((~less_3(B)) | (v90(constB190, B) <=> v129(constB190, B)))) | (~less_3(bitIndex1)) | (v90(constB190, bitIndex1) <=> v129(constB190, bitIndex1))),
% 16.41/11.62 inference(modus_ponens,[status(thm)],[26824, 26823])).
% 16.41/11.62 tff(26826,plain,
% 16.41/11.62 (v90(constB190, bitIndex1) <=> v129(constB190, bitIndex1)),
% 16.41/11.62 inference(unit_resolution,[status(thm)],[26825, 5017, 26747])).
% 16.41/11.62 tff(26827,plain,
% 16.41/11.62 (((~![B: $i] : ((~less_3(B)) | (v129(constB190, B) <=> v127(constB189, B)))) | ((~less_3(bitIndex1)) | (v129(constB190, bitIndex1) <=> v127(constB189, bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v129(constB190, B) <=> v127(constB189, B)))) | (~less_3(bitIndex1)) | (v129(constB190, bitIndex1) <=> v127(constB189, bitIndex1)))),
% 16.41/11.62 inference(rewrite,[status(thm)],[])).
% 16.41/11.62 tff(26828,plain,
% 16.41/11.62 ((~![B: $i] : ((~less_3(B)) | (v129(constB190, B) <=> v127(constB189, B)))) | ((~less_3(bitIndex1)) | (v129(constB190, bitIndex1) <=> v127(constB189, bitIndex1)))),
% 16.41/11.62 inference(quant_inst,[status(thm)],[])).
% 16.41/11.62 tff(26829,plain,
% 16.41/11.62 ((~![B: $i] : ((~less_3(B)) | (v129(constB190, B) <=> v127(constB189, B)))) | (~less_3(bitIndex1)) | (v129(constB190, bitIndex1) <=> v127(constB189, bitIndex1))),
% 16.41/11.62 inference(modus_ponens,[status(thm)],[26828, 26827])).
% 16.41/11.62 tff(26830,plain,
% 16.41/11.62 (v129(constB190, bitIndex1) <=> v127(constB189, bitIndex1)),
% 16.41/11.62 inference(unit_resolution,[status(thm)],[26829, 5017, 26755])).
% 16.41/11.62 tff(26831,plain,
% 16.41/11.62 (((~![B: $i] : ((~less_3(B)) | (v127(constB189, B) <=> v130(constB189, B)))) | ((~less_3(bitIndex1)) | (v127(constB189, bitIndex1) <=> v130(constB189, bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v127(constB189, B) <=> v130(constB189, B)))) | (~less_3(bitIndex1)) | (v127(constB189, bitIndex1) <=> v130(constB189, bitIndex1)))),
% 16.41/11.62 inference(rewrite,[status(thm)],[])).
% 16.41/11.62 tff(26832,plain,
% 16.41/11.62 ((~![B: $i] : ((~less_3(B)) | (v127(constB189, B) <=> v130(constB189, B)))) | ((~less_3(bitIndex1)) | (v127(constB189, bitIndex1) <=> v130(constB189, bitIndex1)))),
% 16.41/11.62 inference(quant_inst,[status(thm)],[])).
% 16.41/11.62 tff(26833,plain,
% 16.41/11.62 ((~![B: $i] : ((~less_3(B)) | (v127(constB189, B) <=> v130(constB189, B)))) | (~less_3(bitIndex1)) | (v127(constB189, bitIndex1) <=> v130(constB189, bitIndex1))),
% 16.41/11.62 inference(modus_ponens,[status(thm)],[26832, 26831])).
% 16.41/11.62 tff(26834,plain,
% 16.41/11.62 (v127(constB189, bitIndex1) <=> v130(constB189, bitIndex1)),
% 16.41/11.62 inference(unit_resolution,[status(thm)],[26833, 5017, 26763])).
% 16.41/11.62 tff(26835,plain,
% 16.41/11.62 (((~![B: $i] : ((~less_3(B)) | (v130(constB189, B) <=> b011(B)))) | ((~less_3(bitIndex1)) | (v130(constB189, bitIndex1) <=> b011(bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v130(constB189, B) <=> b011(B)))) | (~less_3(bitIndex1)) | (v130(constB189, bitIndex1) <=> b011(bitIndex1)))),
% 16.41/11.62 inference(rewrite,[status(thm)],[])).
% 16.41/11.62 tff(26836,plain,
% 16.41/11.62 ((~![B: $i] : ((~less_3(B)) | (v130(constB189, B) <=> b011(B)))) | ((~less_3(bitIndex1)) | (v130(constB189, bitIndex1) <=> b011(bitIndex1)))),
% 16.41/11.62 inference(quant_inst,[status(thm)],[])).
% 16.41/11.62 tff(26837,plain,
% 16.41/11.62 ((~![B: $i] : ((~less_3(B)) | (v130(constB189, B) <=> b011(B)))) | (~less_3(bitIndex1)) | (v130(constB189, bitIndex1) <=> b011(bitIndex1))),
% 16.41/11.62 inference(modus_ponens,[status(thm)],[26836, 26835])).
% 16.41/11.62 tff(26838,plain,
% 16.41/11.62 (v130(constB189, bitIndex1) <=> b011(bitIndex1)),
% 16.41/11.62 inference(unit_resolution,[status(thm)],[26837, 5017, 26772])).
% 16.41/11.62 tff(26839,plain,
% 16.41/11.62 ((~(v130(constB189, bitIndex1) <=> b011(bitIndex1))) | v130(constB189, bitIndex1) | (~b011(bitIndex1))),
% 16.41/11.62 inference(tautology,[status(thm)],[])).
% 16.41/11.62 tff(26840,plain,
% 16.41/11.62 ((~(v130(constB189, bitIndex1) <=> b011(bitIndex1))) | v130(constB189, bitIndex1)),
% 16.41/11.62 inference(unit_resolution,[status(thm)],[26839, 6057])).
% 16.41/11.62 tff(26841,plain,
% 16.41/11.62 (v130(constB189, bitIndex1)),
% 16.41/11.62 inference(unit_resolution,[status(thm)],[26840, 26838])).
% 16.41/11.62 tff(26842,plain,
% 16.41/11.62 ((~(v127(constB189, bitIndex1) <=> v130(constB189, bitIndex1))) | v127(constB189, bitIndex1) | (~v130(constB189, bitIndex1))),
% 16.41/11.62 inference(tautology,[status(thm)],[])).
% 16.41/11.62 tff(26843,plain,
% 16.41/11.62 (v127(constB189, bitIndex1)),
% 16.41/11.62 inference(unit_resolution,[status(thm)],[26842, 26841, 26834])).
% 16.41/11.62 tff(26844,plain,
% 16.41/11.62 ((~(v129(constB190, bitIndex1) <=> v127(constB189, bitIndex1))) | v129(constB190, bitIndex1) | (~v127(constB189, bitIndex1))),
% 16.41/11.62 inference(tautology,[status(thm)],[])).
% 16.41/11.62 tff(26845,plain,
% 16.41/11.62 (v129(constB190, bitIndex1)),
% 16.41/11.62 inference(unit_resolution,[status(thm)],[26844, 26843, 26830])).
% 16.41/11.62 tff(26846,plain,
% 16.41/11.62 ((~(v90(constB190, bitIndex1) <=> v129(constB190, bitIndex1))) | v90(constB190, bitIndex1) | (~v129(constB190, bitIndex1))),
% 16.41/11.62 inference(tautology,[status(thm)],[])).
% 16.41/11.62 tff(26847,plain,
% 16.41/11.62 (v90(constB190, bitIndex1)),
% 16.41/11.62 inference(unit_resolution,[status(thm)],[26846, 26845, 26826])).
% 16.41/11.62 tff(26848,plain,
% 16.41/11.62 ((~(v90(constB191, bitIndex1) <=> v90(constB190, bitIndex1))) | v90(constB191, bitIndex1) | (~v90(constB190, bitIndex1))),
% 16.41/11.62 inference(tautology,[status(thm)],[])).
% 16.41/11.62 tff(26849,plain,
% 16.41/11.62 (v90(constB191, bitIndex1)),
% 16.41/11.62 inference(unit_resolution,[status(thm)],[26848, 26847, 26822])).
% 16.41/11.62 tff(26850,plain,
% 16.41/11.62 ((~(v90(constB191, bitIndex2) | (~v90(constB191, bitIndex1)) | (~v90(constB191, bitIndex0)))) | v90(constB191, bitIndex2) | (~v90(constB191, bitIndex1)) | (~v90(constB191, bitIndex0))),
% 16.41/11.62 inference(tautology,[status(thm)],[])).
% 16.41/11.62 tff(26851,plain,
% 16.41/11.62 (~(v90(constB191, bitIndex2) | (~v90(constB191, bitIndex1)) | (~v90(constB191, bitIndex0)))),
% 16.41/11.62 inference(unit_resolution,[status(thm)],[26850, 26849, 26818, 26787])).
% 16.41/11.62 tff(26852,plain,
% 16.41/11.62 ((~(v122(constB191) <=> (~(v90(constB191, bitIndex2) | (~v90(constB191, bitIndex1)) | (~v90(constB191, bitIndex0)))))) | v122(constB191) | (v90(constB191, bitIndex2) | (~v90(constB191, bitIndex1)) | (~v90(constB191, bitIndex0)))),
% 16.41/11.62 inference(tautology,[status(thm)],[])).
% 16.41/11.62 tff(26853,plain,
% 16.41/11.62 (v122(constB191)),
% 16.41/11.62 inference(unit_resolution,[status(thm)],[26852, 26851, 24013])).
% 16.41/11.62 tff(26854,plain,
% 16.41/11.62 ((v117(constB191) | v122(constB191)) | (~v122(constB191))),
% 16.41/11.62 inference(tautology,[status(thm)],[])).
% 16.41/11.62 tff(26855,plain,
% 16.41/11.62 (v117(constB191) | v122(constB191)),
% 16.41/11.62 inference(unit_resolution,[status(thm)],[26854, 26853])).
% 16.41/11.62 tff(26856,plain,
% 16.41/11.62 ((~(v116(constB191) <=> (v117(constB191) | v122(constB191)))) | v116(constB191) | (~(v117(constB191) | v122(constB191)))),
% 16.41/11.62 inference(tautology,[status(thm)],[])).
% 16.41/11.62 tff(26857,plain,
% 16.41/11.62 (v116(constB191)),
% 16.41/11.62 inference(unit_resolution,[status(thm)],[26856, 26855, 24006])).
% 16.41/11.62 tff(26858,plain,
% 16.41/11.62 ((v116(constB191) | v123(constB191)) | (~v116(constB191))),
% 16.41/11.62 inference(tautology,[status(thm)],[])).
% 16.41/11.62 tff(26859,plain,
% 16.41/11.62 (v116(constB191) | v123(constB191)),
% 16.41/11.62 inference(unit_resolution,[status(thm)],[26858, 26857])).
% 16.41/11.62 tff(26860,plain,
% 16.41/11.62 ((~(v115(constB191) <=> (v116(constB191) | v123(constB191)))) | v115(constB191) | (~(v116(constB191) | v123(constB191)))),
% 16.41/11.62 inference(tautology,[status(thm)],[])).
% 16.41/11.62 tff(26861,plain,
% 16.41/11.62 (v115(constB191)),
% 16.41/11.62 inference(unit_resolution,[status(thm)],[26860, 26859, 24004])).
% 16.41/11.62 tff(26862,plain,
% 16.41/11.62 ((v115(constB191) | v124(constB191)) | (~v115(constB191))),
% 16.41/11.62 inference(tautology,[status(thm)],[])).
% 16.41/11.62 tff(26863,plain,
% 16.41/11.62 (v115(constB191) | v124(constB191)),
% 16.41/11.62 inference(unit_resolution,[status(thm)],[26862, 26861])).
% 16.41/11.62 tff(26864,plain,
% 16.41/11.62 ((~(v114(constB191) <=> (v115(constB191) | v124(constB191)))) | v114(constB191) | (~(v115(constB191) | v124(constB191)))),
% 16.41/11.62 inference(tautology,[status(thm)],[])).
% 16.41/11.62 tff(26865,plain,
% 16.41/11.62 (v114(constB191)),
% 16.41/11.62 inference(unit_resolution,[status(thm)],[26864, 26863, 24002])).
% 16.41/11.62 tff(26866,plain,
% 16.41/11.62 ((v114(constB191) | v125(constB191)) | (~v114(constB191))),
% 16.41/11.62 inference(tautology,[status(thm)],[])).
% 16.41/11.62 tff(26867,plain,
% 16.41/11.62 (v114(constB191) | v125(constB191)),
% 16.41/11.62 inference(unit_resolution,[status(thm)],[26866, 26865])).
% 16.41/11.62 tff(26868,plain,
% 16.41/11.62 ((~(v113(constB191) <=> (v114(constB191) | v125(constB191)))) | v113(constB191) | (~(v114(constB191) | v125(constB191)))),
% 16.41/11.62 inference(tautology,[status(thm)],[])).
% 16.41/11.62 tff(26869,plain,
% 16.41/11.62 (v113(constB191)),
% 16.41/11.62 inference(unit_resolution,[status(thm)],[26868, 26867, 24000])).
% 16.41/11.62 tff(26870,plain,
% 16.41/11.62 ((~![VarCurr: $i] : ((~v126(VarCurr)) <=> v111(VarCurr))) | ((~v126(constB191)) <=> v111(constB191))),
% 16.41/11.62 inference(quant_inst,[status(thm)],[])).
% 16.41/11.62 tff(26871,plain,
% 16.41/11.62 ((~v126(constB191)) <=> v111(constB191)),
% 16.41/11.62 inference(unit_resolution,[status(thm)],[26870, 5074])).
% 16.41/11.62 tff(26872,plain,
% 16.41/11.62 ((~![VarCurr: $i] : (v111(VarCurr) <=> v26(VarCurr))) | (v111(constB191) <=> v26(constB191))),
% 16.41/11.62 inference(quant_inst,[status(thm)],[])).
% 16.41/11.62 tff(26873,plain,
% 16.41/11.62 (v111(constB191) <=> v26(constB191)),
% 16.41/11.62 inference(unit_resolution,[status(thm)],[26872, 5086])).
% 16.41/11.62 tff(26874,plain,
% 16.41/11.62 ((~![VarCurr: $i] : (~v26(VarCurr))) | (~v26(constB191))),
% 16.41/11.62 inference(quant_inst,[status(thm)],[])).
% 16.41/11.62 tff(26875,plain,
% 16.41/11.62 (~v26(constB191)),
% 16.41/11.62 inference(unit_resolution,[status(thm)],[26874, 5098])).
% 16.41/11.62 tff(26876,plain,
% 16.41/11.62 ((~(v111(constB191) <=> v26(constB191))) | (~v111(constB191)) | v26(constB191)),
% 16.41/11.62 inference(tautology,[status(thm)],[])).
% 16.41/11.62 tff(26877,plain,
% 16.41/11.62 ((~(v111(constB191) <=> v26(constB191))) | (~v111(constB191))),
% 16.41/11.62 inference(unit_resolution,[status(thm)],[26876, 26875])).
% 16.41/11.62 tff(26878,plain,
% 16.41/11.62 (~v111(constB191)),
% 16.41/11.62 inference(unit_resolution,[status(thm)],[26877, 26873])).
% 16.41/11.62 tff(26879,plain,
% 16.41/11.62 ((~((~v126(constB191)) <=> v111(constB191))) | v126(constB191) | v111(constB191)),
% 16.41/11.62 inference(tautology,[status(thm)],[])).
% 16.41/11.62 tff(26880,plain,
% 16.41/11.62 ((~((~v126(constB191)) <=> v111(constB191))) | v126(constB191)),
% 16.41/11.62 inference(unit_resolution,[status(thm)],[26879, 26878])).
% 16.41/11.62 tff(26881,plain,
% 16.41/11.62 (v126(constB191)),
% 16.41/11.62 inference(unit_resolution,[status(thm)],[26880, 26871])).
% 16.41/11.62 tff(26882,plain,
% 16.41/11.62 ((~((~v113(constB191)) | (~v126(constB191)))) | (~v113(constB191)) | (~v126(constB191))),
% 16.41/11.62 inference(tautology,[status(thm)],[])).
% 16.41/11.62 tff(26883,plain,
% 16.41/11.62 ((~((~v113(constB191)) | (~v126(constB191)))) | (~v113(constB191))),
% 16.41/11.62 inference(unit_resolution,[status(thm)],[26882, 26881])).
% 16.41/11.62 tff(26884,plain,
% 16.41/11.62 (~((~v113(constB191)) | (~v126(constB191)))),
% 16.41/11.62 inference(unit_resolution,[status(thm)],[26883, 26869])).
% 16.41/11.62 tff(26885,plain,
% 16.41/11.62 ((~(v112(constB191) <=> (~((~v113(constB191)) | (~v126(constB191)))))) | v112(constB191) | ((~v113(constB191)) | (~v126(constB191)))),
% 16.41/11.62 inference(tautology,[status(thm)],[])).
% 16.41/11.62 tff(26886,plain,
% 16.41/11.62 (v112(constB191)),
% 16.41/11.62 inference(unit_resolution,[status(thm)],[26885, 26884, 23998])).
% 16.41/11.62 tff(26887,plain,
% 16.41/11.62 ((v111(constB191) | v112(constB191)) | (~v112(constB191))),
% 16.41/11.62 inference(tautology,[status(thm)],[])).
% 16.41/11.62 tff(26888,plain,
% 16.41/11.62 (v111(constB191) | v112(constB191)),
% 16.41/11.62 inference(unit_resolution,[status(thm)],[26887, 26886])).
% 16.41/11.62 tff(26889,plain,
% 16.41/11.62 ((~(v108(constB191) <=> (v111(constB191) | v112(constB191)))) | v108(constB191) | (~(v111(constB191) | v112(constB191)))),
% 16.41/11.62 inference(tautology,[status(thm)],[])).
% 16.41/11.62 tff(26890,plain,
% 16.41/11.62 (v108(constB191)),
% 16.41/11.62 inference(unit_resolution,[status(thm)],[26889, 26888, 23996])).
% 16.41/11.62 tff(26891,plain,
% 16.41/11.62 ((~(v110(constB192) <=> v108(constB191))) | v110(constB192) | (~v108(constB191))),
% 16.41/11.62 inference(tautology,[status(thm)],[])).
% 16.41/11.62 tff(26892,plain,
% 16.41/11.62 (v110(constB192)),
% 16.41/11.62 inference(unit_resolution,[status(thm)],[26891, 26890, 23994])).
% 16.41/11.62 tff(26893,plain,
% 16.41/11.62 ((~((~v101(constB192)) | (~v110(constB192)))) | (~v101(constB192)) | (~v110(constB192))),
% 16.41/11.62 inference(tautology,[status(thm)],[])).
% 16.41/11.62 tff(26894,plain,
% 16.41/11.62 (~((~v101(constB192)) | (~v110(constB192)))),
% 16.41/11.62 inference(unit_resolution,[status(thm)],[26893, 26892, 23990])).
% 16.41/11.63 tff(26895,plain,
% 16.41/11.63 ((~(v100(constB192) <=> (~((~v101(constB192)) | (~v110(constB192)))))) | v100(constB192) | ((~v101(constB192)) | (~v110(constB192)))),
% 16.41/11.63 inference(tautology,[status(thm)],[])).
% 16.41/11.63 tff(26896,plain,
% 16.41/11.63 (v100(constB192)),
% 16.41/11.63 inference(unit_resolution,[status(thm)],[26895, 26894, 23959])).
% 16.41/11.63 tff(26897,plain,
% 16.41/11.63 (((~![VarNext: $i] : ((~v100(VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v129(VarNext, B))))) | ((~v100(constB192)) | ![B: $i] : ((~less_3(B)) | (v90(constB192, B) <=> v129(constB192, B))))) <=> ((~![VarNext: $i] : ((~v100(VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v129(VarNext, B))))) | (~v100(constB192)) | ![B: $i] : ((~less_3(B)) | (v90(constB192, B) <=> v129(constB192, B))))),
% 16.41/11.63 inference(rewrite,[status(thm)],[])).
% 16.41/11.63 tff(26898,plain,
% 16.41/11.63 ((~![VarNext: $i] : ((~v100(VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v129(VarNext, B))))) | ((~v100(constB192)) | ![B: $i] : ((~less_3(B)) | (v90(constB192, B) <=> v129(constB192, B))))),
% 16.41/11.63 inference(quant_inst,[status(thm)],[])).
% 16.41/11.63 tff(26899,plain,
% 16.41/11.63 ((~![VarNext: $i] : ((~v100(VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v129(VarNext, B))))) | (~v100(constB192)) | ![B: $i] : ((~less_3(B)) | (v90(constB192, B) <=> v129(constB192, B)))),
% 16.41/11.63 inference(modus_ponens,[status(thm)],[26898, 26897])).
% 16.41/11.63 tff(26900,plain,
% 16.41/11.63 ((~v100(constB192)) | ![B: $i] : ((~less_3(B)) | (v90(constB192, B) <=> v129(constB192, B)))),
% 16.41/11.63 inference(unit_resolution,[status(thm)],[26899, 5134])).
% 16.41/11.63 tff(26901,plain,
% 16.41/11.63 (![B: $i] : ((~less_3(B)) | (v90(constB192, B) <=> v129(constB192, B)))),
% 16.41/11.63 inference(unit_resolution,[status(thm)],[26900, 26896])).
% 16.41/11.63 tff(26902,plain,
% 16.41/11.63 (((~![B: $i] : ((~less_3(B)) | (v90(constB192, B) <=> v129(constB192, B)))) | ((~less_3(bitIndex2)) | (v90(constB192, bitIndex2) <=> v129(constB192, bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v90(constB192, B) <=> v129(constB192, B)))) | (~less_3(bitIndex2)) | (v90(constB192, bitIndex2) <=> v129(constB192, bitIndex2)))),
% 16.41/11.63 inference(rewrite,[status(thm)],[])).
% 16.41/11.63 tff(26903,plain,
% 16.41/11.63 ((~![B: $i] : ((~less_3(B)) | (v90(constB192, B) <=> v129(constB192, B)))) | ((~less_3(bitIndex2)) | (v90(constB192, bitIndex2) <=> v129(constB192, bitIndex2)))),
% 16.41/11.63 inference(quant_inst,[status(thm)],[])).
% 16.41/11.63 tff(26904,plain,
% 16.41/11.63 ((~![B: $i] : ((~less_3(B)) | (v90(constB192, B) <=> v129(constB192, B)))) | (~less_3(bitIndex2)) | (v90(constB192, bitIndex2) <=> v129(constB192, bitIndex2))),
% 16.41/11.63 inference(modus_ponens,[status(thm)],[26903, 26902])).
% 16.41/11.63 tff(26905,plain,
% 16.41/11.63 (v90(constB192, bitIndex2) <=> v129(constB192, bitIndex2)),
% 16.41/11.63 inference(unit_resolution,[status(thm)],[26904, 413, 26901])).
% 16.41/11.63 tff(26906,plain,
% 16.41/11.63 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v129(VarNext, B) <=> v127(VarCurr, B))))) | ((~nextState(constB191, constB192)) | ![B: $i] : ((~less_3(B)) | (v129(constB192, B) <=> v127(constB191, B))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v129(VarNext, B) <=> v127(VarCurr, B))))) | (~nextState(constB191, constB192)) | ![B: $i] : ((~less_3(B)) | (v129(constB192, B) <=> v127(constB191, B))))),
% 16.41/11.63 inference(rewrite,[status(thm)],[])).
% 16.41/11.63 tff(26907,plain,
% 16.41/11.63 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v129(VarNext, B) <=> v127(VarCurr, B))))) | ((~nextState(constB191, constB192)) | ![B: $i] : ((~less_3(B)) | (v129(constB192, B) <=> v127(constB191, B))))),
% 16.41/11.63 inference(quant_inst,[status(thm)],[])).
% 16.41/11.63 tff(26908,plain,
% 16.41/11.63 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v129(VarNext, B) <=> v127(VarCurr, B))))) | (~nextState(constB191, constB192)) | ![B: $i] : ((~less_3(B)) | (v129(constB192, B) <=> v127(constB191, B)))),
% 16.41/11.63 inference(modus_ponens,[status(thm)],[26907, 26906])).
% 16.41/11.63 tff(26909,plain,
% 16.41/11.63 (![B: $i] : ((~less_3(B)) | (v129(constB192, B) <=> v127(constB191, B)))),
% 16.41/11.63 inference(unit_resolution,[status(thm)],[26908, 23955, 5156])).
% 16.41/11.63 tff(26910,plain,
% 16.41/11.63 (((~![B: $i] : ((~less_3(B)) | (v129(constB192, B) <=> v127(constB191, B)))) | ((~less_3(bitIndex2)) | (v129(constB192, bitIndex2) <=> v127(constB191, bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v129(constB192, B) <=> v127(constB191, B)))) | (~less_3(bitIndex2)) | (v129(constB192, bitIndex2) <=> v127(constB191, bitIndex2)))),
% 16.41/11.63 inference(rewrite,[status(thm)],[])).
% 16.41/11.63 tff(26911,plain,
% 16.41/11.63 ((~![B: $i] : ((~less_3(B)) | (v129(constB192, B) <=> v127(constB191, B)))) | ((~less_3(bitIndex2)) | (v129(constB192, bitIndex2) <=> v127(constB191, bitIndex2)))),
% 16.41/11.63 inference(quant_inst,[status(thm)],[])).
% 16.41/11.63 tff(26912,plain,
% 16.41/11.63 ((~![B: $i] : ((~less_3(B)) | (v129(constB192, B) <=> v127(constB191, B)))) | (~less_3(bitIndex2)) | (v129(constB192, bitIndex2) <=> v127(constB191, bitIndex2))),
% 16.41/11.63 inference(modus_ponens,[status(thm)],[26911, 26910])).
% 16.41/11.63 tff(26913,plain,
% 16.41/11.63 (v129(constB192, bitIndex2) <=> v127(constB191, bitIndex2)),
% 16.41/11.63 inference(unit_resolution,[status(thm)],[26912, 413, 26909])).
% 16.41/11.63 tff(26914,plain,
% 16.41/11.63 (((~![VarCurr: $i] : (v111(VarCurr) | ![B: $i] : ((~less_3(B)) | (v127(VarCurr, B) <=> v130(VarCurr, B))))) | (v111(constB191) | ![B: $i] : ((~less_3(B)) | (v127(constB191, B) <=> v130(constB191, B))))) <=> ((~![VarCurr: $i] : (v111(VarCurr) | ![B: $i] : ((~less_3(B)) | (v127(VarCurr, B) <=> v130(VarCurr, B))))) | v111(constB191) | ![B: $i] : ((~less_3(B)) | (v127(constB191, B) <=> v130(constB191, B))))),
% 16.41/11.63 inference(rewrite,[status(thm)],[])).
% 16.41/11.63 tff(26915,plain,
% 16.41/11.63 ((~![VarCurr: $i] : (v111(VarCurr) | ![B: $i] : ((~less_3(B)) | (v127(VarCurr, B) <=> v130(VarCurr, B))))) | (v111(constB191) | ![B: $i] : ((~less_3(B)) | (v127(constB191, B) <=> v130(constB191, B))))),
% 16.41/11.63 inference(quant_inst,[status(thm)],[])).
% 16.41/11.63 tff(26916,plain,
% 16.41/11.63 ((~![VarCurr: $i] : (v111(VarCurr) | ![B: $i] : ((~less_3(B)) | (v127(VarCurr, B) <=> v130(VarCurr, B))))) | v111(constB191) | ![B: $i] : ((~less_3(B)) | (v127(constB191, B) <=> v130(constB191, B)))),
% 16.41/11.63 inference(modus_ponens,[status(thm)],[26915, 26914])).
% 16.41/11.63 tff(26917,plain,
% 16.41/11.63 (![B: $i] : ((~less_3(B)) | (v127(constB191, B) <=> v130(constB191, B)))),
% 16.41/11.63 inference(unit_resolution,[status(thm)],[26916, 5177, 26878])).
% 16.41/11.63 tff(26918,plain,
% 16.41/11.63 (((~![B: $i] : ((~less_3(B)) | (v127(constB191, B) <=> v130(constB191, B)))) | ((~less_3(bitIndex2)) | (v127(constB191, bitIndex2) <=> v130(constB191, bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v127(constB191, B) <=> v130(constB191, B)))) | (~less_3(bitIndex2)) | (v127(constB191, bitIndex2) <=> v130(constB191, bitIndex2)))),
% 16.41/11.63 inference(rewrite,[status(thm)],[])).
% 16.41/11.63 tff(26919,plain,
% 16.41/11.63 ((~![B: $i] : ((~less_3(B)) | (v127(constB191, B) <=> v130(constB191, B)))) | ((~less_3(bitIndex2)) | (v127(constB191, bitIndex2) <=> v130(constB191, bitIndex2)))),
% 16.41/11.63 inference(quant_inst,[status(thm)],[])).
% 16.41/11.63 tff(26920,plain,
% 16.41/11.63 ((~![B: $i] : ((~less_3(B)) | (v127(constB191, B) <=> v130(constB191, B)))) | (~less_3(bitIndex2)) | (v127(constB191, bitIndex2) <=> v130(constB191, bitIndex2))),
% 16.41/11.63 inference(modus_ponens,[status(thm)],[26919, 26918])).
% 16.41/11.63 tff(26921,plain,
% 16.41/11.63 (v127(constB191, bitIndex2) <=> v130(constB191, bitIndex2)),
% 16.41/11.63 inference(unit_resolution,[status(thm)],[26920, 413, 26917])).
% 16.41/11.63 tff(26922,plain,
% 16.41/11.63 (((~![VarCurr: $i] : ((~v122(VarCurr)) | ![B: $i] : ((~less_3(B)) | (v130(VarCurr, B) <=> b100(B))))) | ((~v122(constB191)) | ![B: $i] : ((~less_3(B)) | (v130(constB191, B) <=> b100(B))))) <=> ((~![VarCurr: $i] : ((~v122(VarCurr)) | ![B: $i] : ((~less_3(B)) | (v130(VarCurr, B) <=> b100(B))))) | (~v122(constB191)) | ![B: $i] : ((~less_3(B)) | (v130(constB191, B) <=> b100(B))))),
% 16.41/11.63 inference(rewrite,[status(thm)],[])).
% 16.41/11.63 tff(26923,plain,
% 16.41/11.63 ((~![VarCurr: $i] : ((~v122(VarCurr)) | ![B: $i] : ((~less_3(B)) | (v130(VarCurr, B) <=> b100(B))))) | ((~v122(constB191)) | ![B: $i] : ((~less_3(B)) | (v130(constB191, B) <=> b100(B))))),
% 16.41/11.63 inference(quant_inst,[status(thm)],[])).
% 16.41/11.63 tff(26924,plain,
% 16.41/11.63 ((~![VarCurr: $i] : ((~v122(VarCurr)) | ![B: $i] : ((~less_3(B)) | (v130(VarCurr, B) <=> b100(B))))) | (~v122(constB191)) | ![B: $i] : ((~less_3(B)) | (v130(constB191, B) <=> b100(B)))),
% 16.41/11.63 inference(modus_ponens,[status(thm)],[26923, 26922])).
% 16.41/11.63 tff(26925,plain,
% 16.41/11.63 ((~v122(constB191)) | ![B: $i] : ((~less_3(B)) | (v130(constB191, B) <=> b100(B)))),
% 16.41/11.63 inference(unit_resolution,[status(thm)],[26924, 6153])).
% 16.41/11.63 tff(26926,plain,
% 16.41/11.63 (![B: $i] : ((~less_3(B)) | (v130(constB191, B) <=> b100(B)))),
% 16.41/11.63 inference(unit_resolution,[status(thm)],[26925, 26853])).
% 16.41/11.63 tff(26927,plain,
% 16.41/11.63 (((~![B: $i] : ((~less_3(B)) | (v130(constB191, B) <=> b100(B)))) | ((~less_3(bitIndex2)) | (v130(constB191, bitIndex2) <=> b100(bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v130(constB191, B) <=> b100(B)))) | (~less_3(bitIndex2)) | (v130(constB191, bitIndex2) <=> b100(bitIndex2)))),
% 16.41/11.63 inference(rewrite,[status(thm)],[])).
% 16.41/11.63 tff(26928,plain,
% 16.41/11.63 ((~![B: $i] : ((~less_3(B)) | (v130(constB191, B) <=> b100(B)))) | ((~less_3(bitIndex2)) | (v130(constB191, bitIndex2) <=> b100(bitIndex2)))),
% 16.41/11.63 inference(quant_inst,[status(thm)],[])).
% 16.41/11.63 tff(26929,plain,
% 16.41/11.63 ((~![B: $i] : ((~less_3(B)) | (v130(constB191, B) <=> b100(B)))) | (~less_3(bitIndex2)) | (v130(constB191, bitIndex2) <=> b100(bitIndex2))),
% 16.41/11.63 inference(modus_ponens,[status(thm)],[26928, 26927])).
% 16.41/11.63 tff(26930,plain,
% 16.41/11.63 (v130(constB191, bitIndex2) <=> b100(bitIndex2)),
% 16.41/11.63 inference(unit_resolution,[status(thm)],[26929, 413, 26926])).
% 16.41/11.63 tff(26931,plain,
% 16.41/11.63 ((~(v130(constB191, bitIndex2) <=> b100(bitIndex2))) | v130(constB191, bitIndex2) | (~b100(bitIndex2))),
% 16.41/11.63 inference(tautology,[status(thm)],[])).
% 16.41/11.63 tff(26932,plain,
% 16.41/11.63 ((~(v130(constB191, bitIndex2) <=> b100(bitIndex2))) | v130(constB191, bitIndex2)),
% 16.41/11.63 inference(unit_resolution,[status(thm)],[26931, 5209])).
% 16.41/11.63 tff(26933,plain,
% 16.41/11.63 (v130(constB191, bitIndex2)),
% 16.41/11.63 inference(unit_resolution,[status(thm)],[26932, 26930])).
% 16.41/11.63 tff(26934,plain,
% 16.41/11.63 ((~(v127(constB191, bitIndex2) <=> v130(constB191, bitIndex2))) | v127(constB191, bitIndex2) | (~v130(constB191, bitIndex2))),
% 16.41/11.63 inference(tautology,[status(thm)],[])).
% 16.41/11.63 tff(26935,plain,
% 16.41/11.63 (v127(constB191, bitIndex2)),
% 16.41/11.63 inference(unit_resolution,[status(thm)],[26934, 26933, 26921])).
% 16.41/11.63 tff(26936,plain,
% 16.41/11.63 ((~(v129(constB192, bitIndex2) <=> v127(constB191, bitIndex2))) | v129(constB192, bitIndex2) | (~v127(constB191, bitIndex2))),
% 16.41/11.63 inference(tautology,[status(thm)],[])).
% 16.41/11.63 tff(26937,plain,
% 16.41/11.63 (v129(constB192, bitIndex2)),
% 16.41/11.63 inference(unit_resolution,[status(thm)],[26936, 26935, 26913])).
% 16.41/11.63 tff(26938,plain,
% 16.41/11.63 ((~(v90(constB192, bitIndex2) <=> v129(constB192, bitIndex2))) | v90(constB192, bitIndex2) | (~v129(constB192, bitIndex2))),
% 16.41/11.63 inference(tautology,[status(thm)],[])).
% 16.41/11.63 tff(26939,plain,
% 16.41/11.63 (v90(constB192, bitIndex2)),
% 16.41/11.63 inference(unit_resolution,[status(thm)],[26938, 26937, 26905])).
% 16.41/11.63 tff(26940,plain,
% 16.41/11.63 ((~(v90(constB193, bitIndex2) <=> v90(constB192, bitIndex2))) | v90(constB193, bitIndex2) | (~v90(constB192, bitIndex2))),
% 16.41/11.63 inference(tautology,[status(thm)],[])).
% 16.41/11.63 tff(26941,plain,
% 16.41/11.63 (v90(constB193, bitIndex2)),
% 16.41/11.63 inference(unit_resolution,[status(thm)],[26940, 26939, 23952])).
% 16.41/11.63 tff(26942,plain,
% 16.41/11.63 (((~![B: $i] : ((~less_3(B)) | (v90(constB193, B) <=> v90(constB192, B)))) | ((~less_3(bitIndex0)) | (v90(constB193, bitIndex0) <=> v90(constB192, bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v90(constB193, B) <=> v90(constB192, B)))) | (~less_3(bitIndex0)) | (v90(constB193, bitIndex0) <=> v90(constB192, bitIndex0)))),
% 16.41/11.63 inference(rewrite,[status(thm)],[])).
% 16.41/11.63 tff(26943,plain,
% 16.41/11.63 ((~![B: $i] : ((~less_3(B)) | (v90(constB193, B) <=> v90(constB192, B)))) | ((~less_3(bitIndex0)) | (v90(constB193, bitIndex0) <=> v90(constB192, bitIndex0)))),
% 16.41/11.63 inference(quant_inst,[status(thm)],[])).
% 16.41/11.63 tff(26944,plain,
% 16.41/11.63 ((~![B: $i] : ((~less_3(B)) | (v90(constB193, B) <=> v90(constB192, B)))) | (~less_3(bitIndex0)) | (v90(constB193, bitIndex0) <=> v90(constB192, bitIndex0))),
% 16.41/11.63 inference(modus_ponens,[status(thm)],[26943, 26942])).
% 16.41/11.63 tff(26945,plain,
% 16.41/11.63 (v90(constB193, bitIndex0) <=> v90(constB192, bitIndex0)),
% 16.41/11.63 inference(unit_resolution,[status(thm)],[26944, 5004, 23948])).
% 16.41/11.63 tff(26946,plain,
% 16.41/11.63 (((~![B: $i] : ((~less_3(B)) | (v90(constB192, B) <=> v129(constB192, B)))) | ((~less_3(bitIndex0)) | (v90(constB192, bitIndex0) <=> v129(constB192, bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v90(constB192, B) <=> v129(constB192, B)))) | (~less_3(bitIndex0)) | (v90(constB192, bitIndex0) <=> v129(constB192, bitIndex0)))),
% 16.41/11.64 inference(rewrite,[status(thm)],[])).
% 16.41/11.64 tff(26947,plain,
% 16.41/11.64 ((~![B: $i] : ((~less_3(B)) | (v90(constB192, B) <=> v129(constB192, B)))) | ((~less_3(bitIndex0)) | (v90(constB192, bitIndex0) <=> v129(constB192, bitIndex0)))),
% 16.41/11.64 inference(quant_inst,[status(thm)],[])).
% 16.41/11.64 tff(26948,plain,
% 16.41/11.64 ((~![B: $i] : ((~less_3(B)) | (v90(constB192, B) <=> v129(constB192, B)))) | (~less_3(bitIndex0)) | (v90(constB192, bitIndex0) <=> v129(constB192, bitIndex0))),
% 16.41/11.64 inference(modus_ponens,[status(thm)],[26947, 26946])).
% 16.41/11.64 tff(26949,plain,
% 16.41/11.64 (v90(constB192, bitIndex0) <=> v129(constB192, bitIndex0)),
% 16.41/11.64 inference(unit_resolution,[status(thm)],[26948, 5004, 26901])).
% 16.41/11.64 tff(26950,plain,
% 16.41/11.64 (((~![B: $i] : ((~less_3(B)) | (v129(constB192, B) <=> v127(constB191, B)))) | ((~less_3(bitIndex0)) | (v129(constB192, bitIndex0) <=> v127(constB191, bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v129(constB192, B) <=> v127(constB191, B)))) | (~less_3(bitIndex0)) | (v129(constB192, bitIndex0) <=> v127(constB191, bitIndex0)))),
% 16.41/11.64 inference(rewrite,[status(thm)],[])).
% 16.41/11.64 tff(26951,plain,
% 16.41/11.64 ((~![B: $i] : ((~less_3(B)) | (v129(constB192, B) <=> v127(constB191, B)))) | ((~less_3(bitIndex0)) | (v129(constB192, bitIndex0) <=> v127(constB191, bitIndex0)))),
% 16.41/11.64 inference(quant_inst,[status(thm)],[])).
% 16.41/11.64 tff(26952,plain,
% 16.41/11.64 ((~![B: $i] : ((~less_3(B)) | (v129(constB192, B) <=> v127(constB191, B)))) | (~less_3(bitIndex0)) | (v129(constB192, bitIndex0) <=> v127(constB191, bitIndex0))),
% 16.41/11.64 inference(modus_ponens,[status(thm)],[26951, 26950])).
% 16.41/11.64 tff(26953,plain,
% 16.41/11.64 (v129(constB192, bitIndex0) <=> v127(constB191, bitIndex0)),
% 16.41/11.64 inference(unit_resolution,[status(thm)],[26952, 5004, 26909])).
% 16.41/11.64 tff(26954,plain,
% 16.41/11.64 (((~![B: $i] : ((~less_3(B)) | (v127(constB191, B) <=> v130(constB191, B)))) | ((~less_3(bitIndex0)) | (v127(constB191, bitIndex0) <=> v130(constB191, bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v127(constB191, B) <=> v130(constB191, B)))) | (~less_3(bitIndex0)) | (v127(constB191, bitIndex0) <=> v130(constB191, bitIndex0)))),
% 16.41/11.64 inference(rewrite,[status(thm)],[])).
% 16.41/11.64 tff(26955,plain,
% 16.41/11.64 ((~![B: $i] : ((~less_3(B)) | (v127(constB191, B) <=> v130(constB191, B)))) | ((~less_3(bitIndex0)) | (v127(constB191, bitIndex0) <=> v130(constB191, bitIndex0)))),
% 16.41/11.64 inference(quant_inst,[status(thm)],[])).
% 16.41/11.64 tff(26956,plain,
% 16.41/11.64 ((~![B: $i] : ((~less_3(B)) | (v127(constB191, B) <=> v130(constB191, B)))) | (~less_3(bitIndex0)) | (v127(constB191, bitIndex0) <=> v130(constB191, bitIndex0))),
% 16.41/11.64 inference(modus_ponens,[status(thm)],[26955, 26954])).
% 16.41/11.64 tff(26957,plain,
% 16.41/11.64 (v127(constB191, bitIndex0) <=> v130(constB191, bitIndex0)),
% 16.41/11.64 inference(unit_resolution,[status(thm)],[26956, 5004, 26917])).
% 16.41/11.64 tff(26958,plain,
% 16.41/11.64 (((~![B: $i] : ((~less_3(B)) | (v130(constB191, B) <=> b100(B)))) | ((~less_3(bitIndex0)) | (v130(constB191, bitIndex0) <=> b100(bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v130(constB191, B) <=> b100(B)))) | (~less_3(bitIndex0)) | (v130(constB191, bitIndex0) <=> b100(bitIndex0)))),
% 16.41/11.64 inference(rewrite,[status(thm)],[])).
% 16.41/11.64 tff(26959,plain,
% 16.41/11.64 ((~![B: $i] : ((~less_3(B)) | (v130(constB191, B) <=> b100(B)))) | ((~less_3(bitIndex0)) | (v130(constB191, bitIndex0) <=> b100(bitIndex0)))),
% 16.41/11.64 inference(quant_inst,[status(thm)],[])).
% 16.41/11.64 tff(26960,plain,
% 16.41/11.64 ((~![B: $i] : ((~less_3(B)) | (v130(constB191, B) <=> b100(B)))) | (~less_3(bitIndex0)) | (v130(constB191, bitIndex0) <=> b100(bitIndex0))),
% 16.41/11.64 inference(modus_ponens,[status(thm)],[26959, 26958])).
% 16.41/11.64 tff(26961,plain,
% 16.41/11.64 (v130(constB191, bitIndex0) <=> b100(bitIndex0)),
% 16.41/11.64 inference(unit_resolution,[status(thm)],[26960, 5004, 26926])).
% 16.41/11.64 tff(26962,plain,
% 16.41/11.64 ((~(v130(constB191, bitIndex0) <=> b100(bitIndex0))) | (~v130(constB191, bitIndex0)) | b100(bitIndex0)),
% 16.41/11.64 inference(tautology,[status(thm)],[])).
% 16.41/11.64 tff(26963,plain,
% 16.41/11.64 ((~(v130(constB191, bitIndex0) <=> b100(bitIndex0))) | (~v130(constB191, bitIndex0))),
% 16.41/11.64 inference(unit_resolution,[status(thm)],[26962, 5243])).
% 16.41/11.64 tff(26964,plain,
% 16.41/11.64 (~v130(constB191, bitIndex0)),
% 16.41/11.64 inference(unit_resolution,[status(thm)],[26963, 26961])).
% 16.41/11.64 tff(26965,plain,
% 16.41/11.64 ((~(v127(constB191, bitIndex0) <=> v130(constB191, bitIndex0))) | (~v127(constB191, bitIndex0)) | v130(constB191, bitIndex0)),
% 16.41/11.64 inference(tautology,[status(thm)],[])).
% 16.41/11.64 tff(26966,plain,
% 16.41/11.64 (~v127(constB191, bitIndex0)),
% 16.41/11.64 inference(unit_resolution,[status(thm)],[26965, 26964, 26957])).
% 16.41/11.64 tff(26967,plain,
% 16.41/11.64 ((~(v129(constB192, bitIndex0) <=> v127(constB191, bitIndex0))) | (~v129(constB192, bitIndex0)) | v127(constB191, bitIndex0)),
% 16.41/11.64 inference(tautology,[status(thm)],[])).
% 16.41/11.64 tff(26968,plain,
% 16.41/11.64 (~v129(constB192, bitIndex0)),
% 16.41/11.64 inference(unit_resolution,[status(thm)],[26967, 26966, 26953])).
% 16.41/11.64 tff(26969,plain,
% 16.41/11.64 ((~(v90(constB192, bitIndex0) <=> v129(constB192, bitIndex0))) | (~v90(constB192, bitIndex0)) | v129(constB192, bitIndex0)),
% 16.41/11.64 inference(tautology,[status(thm)],[])).
% 16.41/11.64 tff(26970,plain,
% 16.41/11.64 (~v90(constB192, bitIndex0)),
% 16.41/11.64 inference(unit_resolution,[status(thm)],[26969, 26968, 26949])).
% 16.41/11.64 tff(26971,plain,
% 16.41/11.64 ((~(v90(constB193, bitIndex0) <=> v90(constB192, bitIndex0))) | (~v90(constB193, bitIndex0)) | v90(constB192, bitIndex0)),
% 16.41/11.64 inference(tautology,[status(thm)],[])).
% 16.41/11.64 tff(26972,plain,
% 16.41/11.64 (~v90(constB193, bitIndex0)),
% 16.41/11.64 inference(unit_resolution,[status(thm)],[26971, 26970, 26945])).
% 16.41/11.64 tff(26973,plain,
% 16.41/11.64 (((~![B: $i] : ((~less_3(B)) | (v90(constB193, B) <=> v90(constB192, B)))) | ((~less_3(bitIndex1)) | (v90(constB193, bitIndex1) <=> v90(constB192, bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v90(constB193, B) <=> v90(constB192, B)))) | (~less_3(bitIndex1)) | (v90(constB193, bitIndex1) <=> v90(constB192, bitIndex1)))),
% 16.41/11.64 inference(rewrite,[status(thm)],[])).
% 16.41/11.64 tff(26974,plain,
% 16.41/11.64 ((~![B: $i] : ((~less_3(B)) | (v90(constB193, B) <=> v90(constB192, B)))) | ((~less_3(bitIndex1)) | (v90(constB193, bitIndex1) <=> v90(constB192, bitIndex1)))),
% 16.41/11.64 inference(quant_inst,[status(thm)],[])).
% 16.41/11.64 tff(26975,plain,
% 16.41/11.64 ((~![B: $i] : ((~less_3(B)) | (v90(constB193, B) <=> v90(constB192, B)))) | (~less_3(bitIndex1)) | (v90(constB193, bitIndex1) <=> v90(constB192, bitIndex1))),
% 16.41/11.64 inference(modus_ponens,[status(thm)],[26974, 26973])).
% 16.41/11.64 tff(26976,plain,
% 16.41/11.64 (v90(constB193, bitIndex1) <=> v90(constB192, bitIndex1)),
% 16.41/11.64 inference(unit_resolution,[status(thm)],[26975, 5017, 23948])).
% 16.41/11.64 tff(26977,plain,
% 16.41/11.64 (((~![B: $i] : ((~less_3(B)) | (v90(constB192, B) <=> v129(constB192, B)))) | ((~less_3(bitIndex1)) | (v90(constB192, bitIndex1) <=> v129(constB192, bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v90(constB192, B) <=> v129(constB192, B)))) | (~less_3(bitIndex1)) | (v90(constB192, bitIndex1) <=> v129(constB192, bitIndex1)))),
% 16.41/11.64 inference(rewrite,[status(thm)],[])).
% 16.41/11.64 tff(26978,plain,
% 16.41/11.64 ((~![B: $i] : ((~less_3(B)) | (v90(constB192, B) <=> v129(constB192, B)))) | ((~less_3(bitIndex1)) | (v90(constB192, bitIndex1) <=> v129(constB192, bitIndex1)))),
% 16.41/11.64 inference(quant_inst,[status(thm)],[])).
% 16.41/11.64 tff(26979,plain,
% 16.41/11.64 ((~![B: $i] : ((~less_3(B)) | (v90(constB192, B) <=> v129(constB192, B)))) | (~less_3(bitIndex1)) | (v90(constB192, bitIndex1) <=> v129(constB192, bitIndex1))),
% 16.41/11.64 inference(modus_ponens,[status(thm)],[26978, 26977])).
% 16.41/11.64 tff(26980,plain,
% 16.41/11.64 (v90(constB192, bitIndex1) <=> v129(constB192, bitIndex1)),
% 16.41/11.64 inference(unit_resolution,[status(thm)],[26979, 5017, 26901])).
% 16.41/11.64 tff(26981,plain,
% 16.41/11.64 (((~![B: $i] : ((~less_3(B)) | (v129(constB192, B) <=> v127(constB191, B)))) | ((~less_3(bitIndex1)) | (v129(constB192, bitIndex1) <=> v127(constB191, bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v129(constB192, B) <=> v127(constB191, B)))) | (~less_3(bitIndex1)) | (v129(constB192, bitIndex1) <=> v127(constB191, bitIndex1)))),
% 16.41/11.64 inference(rewrite,[status(thm)],[])).
% 16.41/11.64 tff(26982,plain,
% 16.41/11.64 ((~![B: $i] : ((~less_3(B)) | (v129(constB192, B) <=> v127(constB191, B)))) | ((~less_3(bitIndex1)) | (v129(constB192, bitIndex1) <=> v127(constB191, bitIndex1)))),
% 16.41/11.64 inference(quant_inst,[status(thm)],[])).
% 16.41/11.64 tff(26983,plain,
% 16.41/11.64 ((~![B: $i] : ((~less_3(B)) | (v129(constB192, B) <=> v127(constB191, B)))) | (~less_3(bitIndex1)) | (v129(constB192, bitIndex1) <=> v127(constB191, bitIndex1))),
% 16.41/11.64 inference(modus_ponens,[status(thm)],[26982, 26981])).
% 16.41/11.64 tff(26984,plain,
% 16.41/11.64 (v129(constB192, bitIndex1) <=> v127(constB191, bitIndex1)),
% 16.41/11.64 inference(unit_resolution,[status(thm)],[26983, 5017, 26909])).
% 16.41/11.64 tff(26985,plain,
% 16.41/11.64 (((~![B: $i] : ((~less_3(B)) | (v127(constB191, B) <=> v130(constB191, B)))) | ((~less_3(bitIndex1)) | (v127(constB191, bitIndex1) <=> v130(constB191, bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v127(constB191, B) <=> v130(constB191, B)))) | (~less_3(bitIndex1)) | (v127(constB191, bitIndex1) <=> v130(constB191, bitIndex1)))),
% 16.41/11.64 inference(rewrite,[status(thm)],[])).
% 16.41/11.64 tff(26986,plain,
% 16.41/11.64 ((~![B: $i] : ((~less_3(B)) | (v127(constB191, B) <=> v130(constB191, B)))) | ((~less_3(bitIndex1)) | (v127(constB191, bitIndex1) <=> v130(constB191, bitIndex1)))),
% 16.41/11.64 inference(quant_inst,[status(thm)],[])).
% 16.41/11.64 tff(26987,plain,
% 16.41/11.64 ((~![B: $i] : ((~less_3(B)) | (v127(constB191, B) <=> v130(constB191, B)))) | (~less_3(bitIndex1)) | (v127(constB191, bitIndex1) <=> v130(constB191, bitIndex1))),
% 16.41/11.64 inference(modus_ponens,[status(thm)],[26986, 26985])).
% 16.41/11.64 tff(26988,plain,
% 16.41/11.64 (v127(constB191, bitIndex1) <=> v130(constB191, bitIndex1)),
% 16.41/11.64 inference(unit_resolution,[status(thm)],[26987, 5017, 26917])).
% 16.41/11.64 tff(26989,plain,
% 16.41/11.64 (((~![B: $i] : ((~less_3(B)) | (v130(constB191, B) <=> b100(B)))) | ((~less_3(bitIndex1)) | (v130(constB191, bitIndex1) <=> b100(bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v130(constB191, B) <=> b100(B)))) | (~less_3(bitIndex1)) | (v130(constB191, bitIndex1) <=> b100(bitIndex1)))),
% 16.41/11.64 inference(rewrite,[status(thm)],[])).
% 16.41/11.64 tff(26990,plain,
% 16.41/11.64 ((~![B: $i] : ((~less_3(B)) | (v130(constB191, B) <=> b100(B)))) | ((~less_3(bitIndex1)) | (v130(constB191, bitIndex1) <=> b100(bitIndex1)))),
% 16.41/11.64 inference(quant_inst,[status(thm)],[])).
% 16.41/11.64 tff(26991,plain,
% 16.41/11.64 ((~![B: $i] : ((~less_3(B)) | (v130(constB191, B) <=> b100(B)))) | (~less_3(bitIndex1)) | (v130(constB191, bitIndex1) <=> b100(bitIndex1))),
% 16.41/11.64 inference(modus_ponens,[status(thm)],[26990, 26989])).
% 16.41/11.64 tff(26992,plain,
% 16.41/11.64 (v130(constB191, bitIndex1) <=> b100(bitIndex1)),
% 16.41/11.64 inference(unit_resolution,[status(thm)],[26991, 5017, 26926])).
% 16.41/11.64 tff(26993,plain,
% 16.41/11.64 ((~(v130(constB191, bitIndex1) <=> b100(bitIndex1))) | (~v130(constB191, bitIndex1)) | b100(bitIndex1)),
% 16.41/11.64 inference(tautology,[status(thm)],[])).
% 16.41/11.64 tff(26994,plain,
% 16.41/11.64 ((~(v130(constB191, bitIndex1) <=> b100(bitIndex1))) | (~v130(constB191, bitIndex1))),
% 16.41/11.64 inference(unit_resolution,[status(thm)],[26993, 5277])).
% 16.41/11.64 tff(26995,plain,
% 16.41/11.64 (~v130(constB191, bitIndex1)),
% 16.41/11.64 inference(unit_resolution,[status(thm)],[26994, 26992])).
% 16.41/11.64 tff(26996,plain,
% 16.41/11.64 ((~(v127(constB191, bitIndex1) <=> v130(constB191, bitIndex1))) | (~v127(constB191, bitIndex1)) | v130(constB191, bitIndex1)),
% 16.41/11.64 inference(tautology,[status(thm)],[])).
% 16.41/11.64 tff(26997,plain,
% 16.41/11.64 (~v127(constB191, bitIndex1)),
% 16.41/11.64 inference(unit_resolution,[status(thm)],[26996, 26995, 26988])).
% 16.41/11.64 tff(26998,plain,
% 16.41/11.64 ((~(v129(constB192, bitIndex1) <=> v127(constB191, bitIndex1))) | (~v129(constB192, bitIndex1)) | v127(constB191, bitIndex1)),
% 16.41/11.64 inference(tautology,[status(thm)],[])).
% 16.41/11.64 tff(26999,plain,
% 16.41/11.64 (~v129(constB192, bitIndex1)),
% 16.41/11.64 inference(unit_resolution,[status(thm)],[26998, 26997, 26984])).
% 16.41/11.64 tff(27000,plain,
% 16.41/11.64 ((~(v90(constB192, bitIndex1) <=> v129(constB192, bitIndex1))) | (~v90(constB192, bitIndex1)) | v129(constB192, bitIndex1)),
% 16.41/11.64 inference(tautology,[status(thm)],[])).
% 16.41/11.64 tff(27001,plain,
% 16.41/11.64 (~v90(constB192, bitIndex1)),
% 16.41/11.64 inference(unit_resolution,[status(thm)],[27000, 26999, 26980])).
% 16.41/11.64 tff(27002,plain,
% 16.41/11.64 ((~(v90(constB193, bitIndex1) <=> v90(constB192, bitIndex1))) | (~v90(constB193, bitIndex1)) | v90(constB192, bitIndex1)),
% 16.41/11.64 inference(tautology,[status(thm)],[])).
% 16.41/11.64 tff(27003,plain,
% 16.41/11.64 (~v90(constB193, bitIndex1)),
% 16.41/11.64 inference(unit_resolution,[status(thm)],[27002, 27001, 26976])).
% 16.41/11.64 tff(27004,plain,
% 16.41/11.64 ((~((~v90(constB193, bitIndex2)) | v90(constB193, bitIndex1) | v90(constB193, bitIndex0))) | (~v90(constB193, bitIndex2)) | v90(constB193, bitIndex1) | v90(constB193, bitIndex0)),
% 16.41/11.64 inference(tautology,[status(thm)],[])).
% 16.41/11.64 tff(27005,plain,
% 16.41/11.64 (~((~v90(constB193, bitIndex2)) | v90(constB193, bitIndex1) | v90(constB193, bitIndex0))),
% 16.41/11.64 inference(unit_resolution,[status(thm)],[27004, 27003, 26972, 26941])).
% 16.41/11.64 tff(27006,plain,
% 16.41/11.64 ((~(v123(constB193) <=> (~((~v90(constB193, bitIndex2)) | v90(constB193, bitIndex1) | v90(constB193, bitIndex0))))) | v123(constB193) | ((~v90(constB193, bitIndex2)) | v90(constB193, bitIndex1) | v90(constB193, bitIndex0))),
% 16.41/11.64 inference(tautology,[status(thm)],[])).
% 16.41/11.64 tff(27007,plain,
% 16.41/11.64 (v123(constB193)),
% 16.41/11.64 inference(unit_resolution,[status(thm)],[27006, 27005, 23920])).
% 16.41/11.64 tff(27008,plain,
% 16.41/11.64 ((v116(constB193) | v123(constB193)) | (~v123(constB193))),
% 16.41/11.64 inference(tautology,[status(thm)],[])).
% 16.41/11.64 tff(27009,plain,
% 16.41/11.64 (v116(constB193) | v123(constB193)),
% 16.41/11.64 inference(unit_resolution,[status(thm)],[27008, 27007])).
% 16.41/11.64 tff(27010,plain,
% 16.41/11.64 ((~(v115(constB193) <=> (v116(constB193) | v123(constB193)))) | v115(constB193) | (~(v116(constB193) | v123(constB193)))),
% 16.41/11.64 inference(tautology,[status(thm)],[])).
% 16.41/11.64 tff(27011,plain,
% 16.41/11.64 (v115(constB193)),
% 16.41/11.64 inference(unit_resolution,[status(thm)],[27010, 27009, 23913])).
% 16.41/11.64 tff(27012,plain,
% 16.41/11.64 ((v115(constB193) | v124(constB193)) | (~v115(constB193))),
% 16.41/11.64 inference(tautology,[status(thm)],[])).
% 16.41/11.64 tff(27013,plain,
% 16.41/11.64 (v115(constB193) | v124(constB193)),
% 16.41/11.64 inference(unit_resolution,[status(thm)],[27012, 27011])).
% 16.41/11.64 tff(27014,plain,
% 16.41/11.64 ((~(v114(constB193) <=> (v115(constB193) | v124(constB193)))) | v114(constB193) | (~(v115(constB193) | v124(constB193)))),
% 16.41/11.64 inference(tautology,[status(thm)],[])).
% 16.41/11.64 tff(27015,plain,
% 16.41/11.64 (v114(constB193)),
% 16.41/11.64 inference(unit_resolution,[status(thm)],[27014, 27013, 23911])).
% 16.41/11.64 tff(27016,plain,
% 16.41/11.64 ((v114(constB193) | v125(constB193)) | (~v114(constB193))),
% 16.41/11.64 inference(tautology,[status(thm)],[])).
% 16.41/11.64 tff(27017,plain,
% 16.41/11.64 (v114(constB193) | v125(constB193)),
% 16.41/11.64 inference(unit_resolution,[status(thm)],[27016, 27015])).
% 16.41/11.64 tff(27018,plain,
% 16.41/11.64 ((~(v113(constB193) <=> (v114(constB193) | v125(constB193)))) | v113(constB193) | (~(v114(constB193) | v125(constB193)))),
% 16.41/11.64 inference(tautology,[status(thm)],[])).
% 16.41/11.64 tff(27019,plain,
% 16.41/11.64 (v113(constB193)),
% 16.41/11.64 inference(unit_resolution,[status(thm)],[27018, 27017, 23909])).
% 16.41/11.64 tff(27020,plain,
% 16.41/11.64 ((~![VarCurr: $i] : ((~v126(VarCurr)) <=> v111(VarCurr))) | ((~v126(constB193)) <=> v111(constB193))),
% 16.41/11.64 inference(quant_inst,[status(thm)],[])).
% 16.41/11.64 tff(27021,plain,
% 16.41/11.64 ((~v126(constB193)) <=> v111(constB193)),
% 16.41/11.64 inference(unit_resolution,[status(thm)],[27020, 5074])).
% 16.41/11.64 tff(27022,plain,
% 16.41/11.64 ((~![VarCurr: $i] : (v111(VarCurr) <=> v26(VarCurr))) | (v111(constB193) <=> v26(constB193))),
% 16.41/11.64 inference(quant_inst,[status(thm)],[])).
% 16.41/11.64 tff(27023,plain,
% 16.41/11.64 (v111(constB193) <=> v26(constB193)),
% 16.41/11.64 inference(unit_resolution,[status(thm)],[27022, 5086])).
% 16.41/11.64 tff(27024,plain,
% 16.41/11.64 ((~![VarCurr: $i] : (~v26(VarCurr))) | (~v26(constB193))),
% 16.41/11.64 inference(quant_inst,[status(thm)],[])).
% 16.41/11.64 tff(27025,plain,
% 16.41/11.64 (~v26(constB193)),
% 16.41/11.64 inference(unit_resolution,[status(thm)],[27024, 5098])).
% 16.41/11.64 tff(27026,plain,
% 16.41/11.64 ((~(v111(constB193) <=> v26(constB193))) | (~v111(constB193)) | v26(constB193)),
% 16.41/11.64 inference(tautology,[status(thm)],[])).
% 16.41/11.64 tff(27027,plain,
% 16.41/11.64 ((~(v111(constB193) <=> v26(constB193))) | (~v111(constB193))),
% 16.41/11.64 inference(unit_resolution,[status(thm)],[27026, 27025])).
% 16.41/11.64 tff(27028,plain,
% 16.41/11.64 (~v111(constB193)),
% 16.41/11.64 inference(unit_resolution,[status(thm)],[27027, 27023])).
% 16.41/11.64 tff(27029,plain,
% 16.41/11.64 ((~((~v126(constB193)) <=> v111(constB193))) | v126(constB193) | v111(constB193)),
% 16.41/11.64 inference(tautology,[status(thm)],[])).
% 16.41/11.64 tff(27030,plain,
% 16.41/11.64 ((~((~v126(constB193)) <=> v111(constB193))) | v126(constB193)),
% 16.41/11.64 inference(unit_resolution,[status(thm)],[27029, 27028])).
% 16.41/11.64 tff(27031,plain,
% 16.41/11.64 (v126(constB193)),
% 16.41/11.64 inference(unit_resolution,[status(thm)],[27030, 27021])).
% 16.41/11.64 tff(27032,plain,
% 16.41/11.64 ((~((~v113(constB193)) | (~v126(constB193)))) | (~v113(constB193)) | (~v126(constB193))),
% 16.41/11.65 inference(tautology,[status(thm)],[])).
% 16.41/11.65 tff(27033,plain,
% 16.41/11.65 ((~((~v113(constB193)) | (~v126(constB193)))) | (~v113(constB193))),
% 16.41/11.65 inference(unit_resolution,[status(thm)],[27032, 27031])).
% 16.41/11.65 tff(27034,plain,
% 16.41/11.65 (~((~v113(constB193)) | (~v126(constB193)))),
% 16.41/11.65 inference(unit_resolution,[status(thm)],[27033, 27019])).
% 16.41/11.65 tff(27035,plain,
% 16.41/11.65 ((~(v112(constB193) <=> (~((~v113(constB193)) | (~v126(constB193)))))) | v112(constB193) | ((~v113(constB193)) | (~v126(constB193)))),
% 16.41/11.65 inference(tautology,[status(thm)],[])).
% 16.41/11.65 tff(27036,plain,
% 16.41/11.65 (v112(constB193)),
% 16.41/11.65 inference(unit_resolution,[status(thm)],[27035, 27034, 23907])).
% 16.41/11.65 tff(27037,plain,
% 16.41/11.65 ((v111(constB193) | v112(constB193)) | (~v112(constB193))),
% 16.41/11.65 inference(tautology,[status(thm)],[])).
% 16.41/11.65 tff(27038,plain,
% 16.41/11.65 (v111(constB193) | v112(constB193)),
% 16.41/11.65 inference(unit_resolution,[status(thm)],[27037, 27036])).
% 16.41/11.65 tff(27039,plain,
% 16.41/11.65 ((~(v108(constB193) <=> (v111(constB193) | v112(constB193)))) | v108(constB193) | (~(v111(constB193) | v112(constB193)))),
% 16.41/11.65 inference(tautology,[status(thm)],[])).
% 16.41/11.65 tff(27040,plain,
% 16.41/11.65 (v108(constB193)),
% 16.41/11.65 inference(unit_resolution,[status(thm)],[27039, 27038, 23905])).
% 16.41/11.65 tff(27041,plain,
% 16.41/11.65 ((~(v110(constB194) <=> v108(constB193))) | v110(constB194) | (~v108(constB193))),
% 16.41/11.65 inference(tautology,[status(thm)],[])).
% 16.41/11.65 tff(27042,plain,
% 16.41/11.65 (v110(constB194)),
% 16.41/11.65 inference(unit_resolution,[status(thm)],[27041, 27040, 23903])).
% 16.41/11.65 tff(27043,plain,
% 16.41/11.65 ((~((~v101(constB194)) | (~v110(constB194)))) | (~v101(constB194)) | (~v110(constB194))),
% 16.41/11.65 inference(tautology,[status(thm)],[])).
% 16.41/11.65 tff(27044,plain,
% 16.41/11.65 (~((~v101(constB194)) | (~v110(constB194)))),
% 16.41/11.65 inference(unit_resolution,[status(thm)],[27043, 27042, 23899])).
% 16.41/11.65 tff(27045,plain,
% 16.41/11.65 ((~(v100(constB194) <=> (~((~v101(constB194)) | (~v110(constB194)))))) | v100(constB194) | ((~v101(constB194)) | (~v110(constB194)))),
% 16.41/11.65 inference(tautology,[status(thm)],[])).
% 16.41/11.65 tff(27046,plain,
% 16.41/11.65 (v100(constB194)),
% 16.41/11.65 inference(unit_resolution,[status(thm)],[27045, 27044, 23868])).
% 16.41/11.65 tff(27047,plain,
% 16.41/11.65 (((~![VarNext: $i] : ((~v100(VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v129(VarNext, B))))) | ((~v100(constB194)) | ![B: $i] : ((~less_3(B)) | (v90(constB194, B) <=> v129(constB194, B))))) <=> ((~![VarNext: $i] : ((~v100(VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v129(VarNext, B))))) | (~v100(constB194)) | ![B: $i] : ((~less_3(B)) | (v90(constB194, B) <=> v129(constB194, B))))),
% 16.41/11.65 inference(rewrite,[status(thm)],[])).
% 16.41/11.65 tff(27048,plain,
% 16.41/11.65 ((~![VarNext: $i] : ((~v100(VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v129(VarNext, B))))) | ((~v100(constB194)) | ![B: $i] : ((~less_3(B)) | (v90(constB194, B) <=> v129(constB194, B))))),
% 16.41/11.65 inference(quant_inst,[status(thm)],[])).
% 16.41/11.65 tff(27049,plain,
% 16.41/11.65 ((~![VarNext: $i] : ((~v100(VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v129(VarNext, B))))) | (~v100(constB194)) | ![B: $i] : ((~less_3(B)) | (v90(constB194, B) <=> v129(constB194, B)))),
% 16.41/11.65 inference(modus_ponens,[status(thm)],[27048, 27047])).
% 16.41/11.65 tff(27050,plain,
% 16.41/11.65 ((~v100(constB194)) | ![B: $i] : ((~less_3(B)) | (v90(constB194, B) <=> v129(constB194, B)))),
% 16.41/11.65 inference(unit_resolution,[status(thm)],[27049, 5134])).
% 16.41/11.65 tff(27051,plain,
% 16.41/11.65 (![B: $i] : ((~less_3(B)) | (v90(constB194, B) <=> v129(constB194, B)))),
% 16.41/11.65 inference(unit_resolution,[status(thm)],[27050, 27046])).
% 16.41/11.65 tff(27052,plain,
% 16.41/11.65 (((~![B: $i] : ((~less_3(B)) | (v90(constB194, B) <=> v129(constB194, B)))) | ((~less_3(bitIndex2)) | (v90(constB194, bitIndex2) <=> v129(constB194, bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v90(constB194, B) <=> v129(constB194, B)))) | (~less_3(bitIndex2)) | (v90(constB194, bitIndex2) <=> v129(constB194, bitIndex2)))),
% 16.41/11.65 inference(rewrite,[status(thm)],[])).
% 16.41/11.65 tff(27053,plain,
% 16.41/11.65 ((~![B: $i] : ((~less_3(B)) | (v90(constB194, B) <=> v129(constB194, B)))) | ((~less_3(bitIndex2)) | (v90(constB194, bitIndex2) <=> v129(constB194, bitIndex2)))),
% 16.41/11.65 inference(quant_inst,[status(thm)],[])).
% 16.41/11.65 tff(27054,plain,
% 16.41/11.65 ((~![B: $i] : ((~less_3(B)) | (v90(constB194, B) <=> v129(constB194, B)))) | (~less_3(bitIndex2)) | (v90(constB194, bitIndex2) <=> v129(constB194, bitIndex2))),
% 16.41/11.65 inference(modus_ponens,[status(thm)],[27053, 27052])).
% 16.41/11.65 tff(27055,plain,
% 16.41/11.65 (v90(constB194, bitIndex2) <=> v129(constB194, bitIndex2)),
% 16.41/11.65 inference(unit_resolution,[status(thm)],[27054, 413, 27051])).
% 16.41/11.65 tff(27056,plain,
% 16.41/11.65 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v129(VarNext, B) <=> v127(VarCurr, B))))) | ((~nextState(constB193, constB194)) | ![B: $i] : ((~less_3(B)) | (v129(constB194, B) <=> v127(constB193, B))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v129(VarNext, B) <=> v127(VarCurr, B))))) | (~nextState(constB193, constB194)) | ![B: $i] : ((~less_3(B)) | (v129(constB194, B) <=> v127(constB193, B))))),
% 16.41/11.65 inference(rewrite,[status(thm)],[])).
% 16.41/11.65 tff(27057,plain,
% 16.41/11.65 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v129(VarNext, B) <=> v127(VarCurr, B))))) | ((~nextState(constB193, constB194)) | ![B: $i] : ((~less_3(B)) | (v129(constB194, B) <=> v127(constB193, B))))),
% 16.41/11.65 inference(quant_inst,[status(thm)],[])).
% 16.41/11.65 tff(27058,plain,
% 16.41/11.65 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v129(VarNext, B) <=> v127(VarCurr, B))))) | (~nextState(constB193, constB194)) | ![B: $i] : ((~less_3(B)) | (v129(constB194, B) <=> v127(constB193, B)))),
% 16.41/11.65 inference(modus_ponens,[status(thm)],[27057, 27056])).
% 16.41/11.65 tff(27059,plain,
% 16.41/11.65 (![B: $i] : ((~less_3(B)) | (v129(constB194, B) <=> v127(constB193, B)))),
% 16.41/11.65 inference(unit_resolution,[status(thm)],[27058, 23864, 5156])).
% 16.41/11.65 tff(27060,plain,
% 16.41/11.65 (((~![B: $i] : ((~less_3(B)) | (v129(constB194, B) <=> v127(constB193, B)))) | ((~less_3(bitIndex2)) | (v129(constB194, bitIndex2) <=> v127(constB193, bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v129(constB194, B) <=> v127(constB193, B)))) | (~less_3(bitIndex2)) | (v129(constB194, bitIndex2) <=> v127(constB193, bitIndex2)))),
% 16.41/11.65 inference(rewrite,[status(thm)],[])).
% 16.41/11.65 tff(27061,plain,
% 16.41/11.65 ((~![B: $i] : ((~less_3(B)) | (v129(constB194, B) <=> v127(constB193, B)))) | ((~less_3(bitIndex2)) | (v129(constB194, bitIndex2) <=> v127(constB193, bitIndex2)))),
% 16.41/11.65 inference(quant_inst,[status(thm)],[])).
% 16.41/11.65 tff(27062,plain,
% 16.41/11.65 ((~![B: $i] : ((~less_3(B)) | (v129(constB194, B) <=> v127(constB193, B)))) | (~less_3(bitIndex2)) | (v129(constB194, bitIndex2) <=> v127(constB193, bitIndex2))),
% 16.41/11.65 inference(modus_ponens,[status(thm)],[27061, 27060])).
% 16.41/11.65 tff(27063,plain,
% 16.41/11.65 (v129(constB194, bitIndex2) <=> v127(constB193, bitIndex2)),
% 16.41/11.65 inference(unit_resolution,[status(thm)],[27062, 413, 27059])).
% 16.41/11.65 tff(27064,plain,
% 16.41/11.65 (((~![VarCurr: $i] : (v111(VarCurr) | ![B: $i] : ((~less_3(B)) | (v127(VarCurr, B) <=> v130(VarCurr, B))))) | (v111(constB193) | ![B: $i] : ((~less_3(B)) | (v127(constB193, B) <=> v130(constB193, B))))) <=> ((~![VarCurr: $i] : (v111(VarCurr) | ![B: $i] : ((~less_3(B)) | (v127(VarCurr, B) <=> v130(VarCurr, B))))) | v111(constB193) | ![B: $i] : ((~less_3(B)) | (v127(constB193, B) <=> v130(constB193, B))))),
% 16.41/11.65 inference(rewrite,[status(thm)],[])).
% 16.41/11.65 tff(27065,plain,
% 16.41/11.65 ((~![VarCurr: $i] : (v111(VarCurr) | ![B: $i] : ((~less_3(B)) | (v127(VarCurr, B) <=> v130(VarCurr, B))))) | (v111(constB193) | ![B: $i] : ((~less_3(B)) | (v127(constB193, B) <=> v130(constB193, B))))),
% 16.41/11.65 inference(quant_inst,[status(thm)],[])).
% 16.41/11.65 tff(27066,plain,
% 16.41/11.65 ((~![VarCurr: $i] : (v111(VarCurr) | ![B: $i] : ((~less_3(B)) | (v127(VarCurr, B) <=> v130(VarCurr, B))))) | v111(constB193) | ![B: $i] : ((~less_3(B)) | (v127(constB193, B) <=> v130(constB193, B)))),
% 16.41/11.65 inference(modus_ponens,[status(thm)],[27065, 27064])).
% 16.41/11.65 tff(27067,plain,
% 16.41/11.65 (![B: $i] : ((~less_3(B)) | (v127(constB193, B) <=> v130(constB193, B)))),
% 16.41/11.65 inference(unit_resolution,[status(thm)],[27066, 5177, 27028])).
% 16.41/11.65 tff(27068,plain,
% 16.41/11.65 (((~![B: $i] : ((~less_3(B)) | (v127(constB193, B) <=> v130(constB193, B)))) | ((~less_3(bitIndex2)) | (v127(constB193, bitIndex2) <=> v130(constB193, bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v127(constB193, B) <=> v130(constB193, B)))) | (~less_3(bitIndex2)) | (v127(constB193, bitIndex2) <=> v130(constB193, bitIndex2)))),
% 16.41/11.65 inference(rewrite,[status(thm)],[])).
% 16.41/11.65 tff(27069,plain,
% 16.41/11.65 ((~![B: $i] : ((~less_3(B)) | (v127(constB193, B) <=> v130(constB193, B)))) | ((~less_3(bitIndex2)) | (v127(constB193, bitIndex2) <=> v130(constB193, bitIndex2)))),
% 16.41/11.65 inference(quant_inst,[status(thm)],[])).
% 16.41/11.65 tff(27070,plain,
% 16.41/11.65 ((~![B: $i] : ((~less_3(B)) | (v127(constB193, B) <=> v130(constB193, B)))) | (~less_3(bitIndex2)) | (v127(constB193, bitIndex2) <=> v130(constB193, bitIndex2))),
% 16.41/11.65 inference(modus_ponens,[status(thm)],[27069, 27068])).
% 16.41/11.65 tff(27071,plain,
% 16.41/11.65 (v127(constB193, bitIndex2) <=> v130(constB193, bitIndex2)),
% 16.41/11.65 inference(unit_resolution,[status(thm)],[27070, 413, 27067])).
% 16.41/11.65 tff(27072,plain,
% 16.41/11.65 (((~![VarCurr: $i] : ((~v123(VarCurr)) | ![B: $i] : ((~less_3(B)) | (v130(VarCurr, B) <=> b110(B))))) | ((~v123(constB193)) | ![B: $i] : ((~less_3(B)) | (v130(constB193, B) <=> b110(B))))) <=> ((~![VarCurr: $i] : ((~v123(VarCurr)) | ![B: $i] : ((~less_3(B)) | (v130(VarCurr, B) <=> b110(B))))) | (~v123(constB193)) | ![B: $i] : ((~less_3(B)) | (v130(constB193, B) <=> b110(B))))),
% 16.41/11.65 inference(rewrite,[status(thm)],[])).
% 16.41/11.65 tff(27073,plain,
% 16.41/11.65 ((~![VarCurr: $i] : ((~v123(VarCurr)) | ![B: $i] : ((~less_3(B)) | (v130(VarCurr, B) <=> b110(B))))) | ((~v123(constB193)) | ![B: $i] : ((~less_3(B)) | (v130(constB193, B) <=> b110(B))))),
% 16.41/11.65 inference(quant_inst,[status(thm)],[])).
% 16.41/11.65 tff(27074,plain,
% 16.41/11.65 ((~![VarCurr: $i] : ((~v123(VarCurr)) | ![B: $i] : ((~less_3(B)) | (v130(VarCurr, B) <=> b110(B))))) | (~v123(constB193)) | ![B: $i] : ((~less_3(B)) | (v130(constB193, B) <=> b110(B)))),
% 16.41/11.65 inference(modus_ponens,[status(thm)],[27073, 27072])).
% 16.41/11.65 tff(27075,plain,
% 16.41/11.65 ((~v123(constB193)) | ![B: $i] : ((~less_3(B)) | (v130(constB193, B) <=> b110(B)))),
% 16.41/11.65 inference(unit_resolution,[status(thm)],[27074, 5369])).
% 16.41/11.65 tff(27076,plain,
% 16.41/11.65 (![B: $i] : ((~less_3(B)) | (v130(constB193, B) <=> b110(B)))),
% 16.41/11.65 inference(unit_resolution,[status(thm)],[27075, 27007])).
% 16.41/11.65 tff(27077,plain,
% 16.41/11.65 (((~![B: $i] : ((~less_3(B)) | (v130(constB193, B) <=> b110(B)))) | ((~less_3(bitIndex2)) | (v130(constB193, bitIndex2) <=> b110(bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v130(constB193, B) <=> b110(B)))) | (~less_3(bitIndex2)) | (v130(constB193, bitIndex2) <=> b110(bitIndex2)))),
% 16.41/11.65 inference(rewrite,[status(thm)],[])).
% 16.41/11.65 tff(27078,plain,
% 16.41/11.65 ((~![B: $i] : ((~less_3(B)) | (v130(constB193, B) <=> b110(B)))) | ((~less_3(bitIndex2)) | (v130(constB193, bitIndex2) <=> b110(bitIndex2)))),
% 16.41/11.65 inference(quant_inst,[status(thm)],[])).
% 16.41/11.65 tff(27079,plain,
% 16.41/11.65 ((~![B: $i] : ((~less_3(B)) | (v130(constB193, B) <=> b110(B)))) | (~less_3(bitIndex2)) | (v130(constB193, bitIndex2) <=> b110(bitIndex2))),
% 16.41/11.65 inference(modus_ponens,[status(thm)],[27078, 27077])).
% 16.41/11.65 tff(27080,plain,
% 16.41/11.65 (v130(constB193, bitIndex2) <=> b110(bitIndex2)),
% 16.41/11.65 inference(unit_resolution,[status(thm)],[27079, 413, 27076])).
% 16.41/11.65 tff(27081,plain,
% 16.41/11.65 ((~(v130(constB193, bitIndex2) <=> b110(bitIndex2))) | v130(constB193, bitIndex2) | (~b110(bitIndex2))),
% 16.41/11.65 inference(tautology,[status(thm)],[])).
% 16.41/11.65 tff(27082,plain,
% 16.41/11.65 ((~(v130(constB193, bitIndex2) <=> b110(bitIndex2))) | v130(constB193, bitIndex2)),
% 16.41/11.65 inference(unit_resolution,[status(thm)],[27081, 5381])).
% 16.41/11.65 tff(27083,plain,
% 16.41/11.65 (v130(constB193, bitIndex2)),
% 16.41/11.65 inference(unit_resolution,[status(thm)],[27082, 27080])).
% 16.41/11.65 tff(27084,plain,
% 16.41/11.65 ((~(v127(constB193, bitIndex2) <=> v130(constB193, bitIndex2))) | v127(constB193, bitIndex2) | (~v130(constB193, bitIndex2))),
% 16.41/11.65 inference(tautology,[status(thm)],[])).
% 16.41/11.65 tff(27085,plain,
% 16.41/11.65 (v127(constB193, bitIndex2)),
% 16.41/11.65 inference(unit_resolution,[status(thm)],[27084, 27083, 27071])).
% 16.41/11.65 tff(27086,plain,
% 16.41/11.65 ((~(v129(constB194, bitIndex2) <=> v127(constB193, bitIndex2))) | v129(constB194, bitIndex2) | (~v127(constB193, bitIndex2))),
% 16.41/11.65 inference(tautology,[status(thm)],[])).
% 16.41/11.65 tff(27087,plain,
% 16.41/11.65 (v129(constB194, bitIndex2)),
% 16.41/11.65 inference(unit_resolution,[status(thm)],[27086, 27085, 27063])).
% 16.41/11.65 tff(27088,plain,
% 16.41/11.65 ((~(v90(constB194, bitIndex2) <=> v129(constB194, bitIndex2))) | v90(constB194, bitIndex2) | (~v129(constB194, bitIndex2))),
% 16.41/11.65 inference(tautology,[status(thm)],[])).
% 16.41/11.65 tff(27089,plain,
% 16.41/11.65 (v90(constB194, bitIndex2)),
% 16.41/11.65 inference(unit_resolution,[status(thm)],[27088, 27087, 27055])).
% 16.41/11.65 tff(27090,plain,
% 16.41/11.65 ((~(v90(constB195, bitIndex2) <=> v90(constB194, bitIndex2))) | v90(constB195, bitIndex2) | (~v90(constB194, bitIndex2))),
% 16.41/11.65 inference(tautology,[status(thm)],[])).
% 16.41/11.65 tff(27091,plain,
% 16.41/11.65 (v90(constB195, bitIndex2)),
% 16.41/11.65 inference(unit_resolution,[status(thm)],[27090, 27089, 23861])).
% 16.41/11.65 tff(27092,plain,
% 16.41/11.65 ((~(v88(constB195, bitIndex2) <=> v90(constB195, bitIndex2))) | v88(constB195, bitIndex2) | (~v90(constB195, bitIndex2))),
% 16.41/11.65 inference(tautology,[status(thm)],[])).
% 16.41/11.65 tff(27093,plain,
% 16.41/11.65 (v88(constB195, bitIndex2)),
% 16.41/11.65 inference(unit_resolution,[status(thm)],[27092, 27091, 23826])).
% 16.41/11.65 tff(27094,plain,
% 16.41/11.65 (((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | ((~less_3(bitIndex0)) | (v88(constB195, bitIndex0) <=> v90(constB195, bitIndex0)))) <=> ((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | (~less_3(bitIndex0)) | (v88(constB195, bitIndex0) <=> v90(constB195, bitIndex0)))),
% 16.41/11.65 inference(rewrite,[status(thm)],[])).
% 16.41/11.65 tff(27095,plain,
% 16.41/11.65 ((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | ((~less_3(bitIndex0)) | (v88(constB195, bitIndex0) <=> v90(constB195, bitIndex0)))),
% 16.41/11.65 inference(quant_inst,[status(thm)],[])).
% 16.41/11.65 tff(27096,plain,
% 16.41/11.65 ((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | (~less_3(bitIndex0)) | (v88(constB195, bitIndex0) <=> v90(constB195, bitIndex0))),
% 16.41/11.65 inference(modus_ponens,[status(thm)],[27095, 27094])).
% 16.41/11.65 tff(27097,plain,
% 16.41/11.65 (v88(constB195, bitIndex0) <=> v90(constB195, bitIndex0)),
% 16.41/11.65 inference(unit_resolution,[status(thm)],[27096, 5004, 410])).
% 16.41/11.65 tff(27098,plain,
% 16.41/11.65 (((~![B: $i] : ((~less_3(B)) | (v90(constB195, B) <=> v90(constB194, B)))) | ((~less_3(bitIndex0)) | (v90(constB195, bitIndex0) <=> v90(constB194, bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v90(constB195, B) <=> v90(constB194, B)))) | (~less_3(bitIndex0)) | (v90(constB195, bitIndex0) <=> v90(constB194, bitIndex0)))),
% 16.41/11.65 inference(rewrite,[status(thm)],[])).
% 16.41/11.65 tff(27099,plain,
% 16.41/11.65 ((~![B: $i] : ((~less_3(B)) | (v90(constB195, B) <=> v90(constB194, B)))) | ((~less_3(bitIndex0)) | (v90(constB195, bitIndex0) <=> v90(constB194, bitIndex0)))),
% 16.41/11.65 inference(quant_inst,[status(thm)],[])).
% 16.41/11.65 tff(27100,plain,
% 16.41/11.65 ((~![B: $i] : ((~less_3(B)) | (v90(constB195, B) <=> v90(constB194, B)))) | (~less_3(bitIndex0)) | (v90(constB195, bitIndex0) <=> v90(constB194, bitIndex0))),
% 16.41/11.65 inference(modus_ponens,[status(thm)],[27099, 27098])).
% 16.41/11.65 tff(27101,plain,
% 16.41/11.65 (v90(constB195, bitIndex0) <=> v90(constB194, bitIndex0)),
% 16.41/11.65 inference(unit_resolution,[status(thm)],[27100, 5004, 23857])).
% 16.41/11.65 tff(27102,plain,
% 16.41/11.65 (((~![B: $i] : ((~less_3(B)) | (v90(constB194, B) <=> v129(constB194, B)))) | ((~less_3(bitIndex0)) | (v90(constB194, bitIndex0) <=> v129(constB194, bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v90(constB194, B) <=> v129(constB194, B)))) | (~less_3(bitIndex0)) | (v90(constB194, bitIndex0) <=> v129(constB194, bitIndex0)))),
% 16.41/11.65 inference(rewrite,[status(thm)],[])).
% 16.41/11.65 tff(27103,plain,
% 16.41/11.65 ((~![B: $i] : ((~less_3(B)) | (v90(constB194, B) <=> v129(constB194, B)))) | ((~less_3(bitIndex0)) | (v90(constB194, bitIndex0) <=> v129(constB194, bitIndex0)))),
% 16.41/11.65 inference(quant_inst,[status(thm)],[])).
% 16.41/11.65 tff(27104,plain,
% 16.41/11.65 ((~![B: $i] : ((~less_3(B)) | (v90(constB194, B) <=> v129(constB194, B)))) | (~less_3(bitIndex0)) | (v90(constB194, bitIndex0) <=> v129(constB194, bitIndex0))),
% 16.41/11.65 inference(modus_ponens,[status(thm)],[27103, 27102])).
% 16.41/11.65 tff(27105,plain,
% 16.41/11.65 (v90(constB194, bitIndex0) <=> v129(constB194, bitIndex0)),
% 16.41/11.65 inference(unit_resolution,[status(thm)],[27104, 5004, 27051])).
% 16.41/11.65 tff(27106,plain,
% 16.41/11.65 (((~![B: $i] : ((~less_3(B)) | (v129(constB194, B) <=> v127(constB193, B)))) | ((~less_3(bitIndex0)) | (v129(constB194, bitIndex0) <=> v127(constB193, bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v129(constB194, B) <=> v127(constB193, B)))) | (~less_3(bitIndex0)) | (v129(constB194, bitIndex0) <=> v127(constB193, bitIndex0)))),
% 16.41/11.66 inference(rewrite,[status(thm)],[])).
% 16.41/11.66 tff(27107,plain,
% 16.41/11.66 ((~![B: $i] : ((~less_3(B)) | (v129(constB194, B) <=> v127(constB193, B)))) | ((~less_3(bitIndex0)) | (v129(constB194, bitIndex0) <=> v127(constB193, bitIndex0)))),
% 16.41/11.66 inference(quant_inst,[status(thm)],[])).
% 16.41/11.66 tff(27108,plain,
% 16.41/11.66 ((~![B: $i] : ((~less_3(B)) | (v129(constB194, B) <=> v127(constB193, B)))) | (~less_3(bitIndex0)) | (v129(constB194, bitIndex0) <=> v127(constB193, bitIndex0))),
% 16.41/11.66 inference(modus_ponens,[status(thm)],[27107, 27106])).
% 16.41/11.66 tff(27109,plain,
% 16.41/11.66 (v129(constB194, bitIndex0) <=> v127(constB193, bitIndex0)),
% 16.41/11.66 inference(unit_resolution,[status(thm)],[27108, 5004, 27059])).
% 16.41/11.66 tff(27110,plain,
% 16.41/11.66 (((~![B: $i] : ((~less_3(B)) | (v127(constB193, B) <=> v130(constB193, B)))) | ((~less_3(bitIndex0)) | (v127(constB193, bitIndex0) <=> v130(constB193, bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v127(constB193, B) <=> v130(constB193, B)))) | (~less_3(bitIndex0)) | (v127(constB193, bitIndex0) <=> v130(constB193, bitIndex0)))),
% 16.41/11.66 inference(rewrite,[status(thm)],[])).
% 16.41/11.66 tff(27111,plain,
% 16.41/11.66 ((~![B: $i] : ((~less_3(B)) | (v127(constB193, B) <=> v130(constB193, B)))) | ((~less_3(bitIndex0)) | (v127(constB193, bitIndex0) <=> v130(constB193, bitIndex0)))),
% 16.41/11.66 inference(quant_inst,[status(thm)],[])).
% 16.41/11.66 tff(27112,plain,
% 16.41/11.66 ((~![B: $i] : ((~less_3(B)) | (v127(constB193, B) <=> v130(constB193, B)))) | (~less_3(bitIndex0)) | (v127(constB193, bitIndex0) <=> v130(constB193, bitIndex0))),
% 16.41/11.66 inference(modus_ponens,[status(thm)],[27111, 27110])).
% 16.41/11.66 tff(27113,plain,
% 16.41/11.66 (v127(constB193, bitIndex0) <=> v130(constB193, bitIndex0)),
% 16.41/11.66 inference(unit_resolution,[status(thm)],[27112, 5004, 27067])).
% 16.41/11.66 tff(27114,plain,
% 16.41/11.66 (((~![B: $i] : ((~less_3(B)) | (v130(constB193, B) <=> b110(B)))) | ((~less_3(bitIndex0)) | (v130(constB193, bitIndex0) <=> b110(bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v130(constB193, B) <=> b110(B)))) | (~less_3(bitIndex0)) | (v130(constB193, bitIndex0) <=> b110(bitIndex0)))),
% 16.41/11.66 inference(rewrite,[status(thm)],[])).
% 16.41/11.66 tff(27115,plain,
% 16.41/11.66 ((~![B: $i] : ((~less_3(B)) | (v130(constB193, B) <=> b110(B)))) | ((~less_3(bitIndex0)) | (v130(constB193, bitIndex0) <=> b110(bitIndex0)))),
% 16.41/11.66 inference(quant_inst,[status(thm)],[])).
% 16.41/11.66 tff(27116,plain,
% 16.41/11.66 ((~![B: $i] : ((~less_3(B)) | (v130(constB193, B) <=> b110(B)))) | (~less_3(bitIndex0)) | (v130(constB193, bitIndex0) <=> b110(bitIndex0))),
% 16.41/11.66 inference(modus_ponens,[status(thm)],[27115, 27114])).
% 16.41/11.66 tff(27117,plain,
% 16.41/11.66 (v130(constB193, bitIndex0) <=> b110(bitIndex0)),
% 16.41/11.66 inference(unit_resolution,[status(thm)],[27116, 5004, 27076])).
% 16.41/11.66 tff(27118,plain,
% 16.41/11.66 ((~(v130(constB193, bitIndex0) <=> b110(bitIndex0))) | (~v130(constB193, bitIndex0)) | b110(bitIndex0)),
% 16.41/11.66 inference(tautology,[status(thm)],[])).
% 16.41/11.66 tff(27119,plain,
% 16.41/11.66 ((~(v130(constB193, bitIndex0) <=> b110(bitIndex0))) | (~v130(constB193, bitIndex0))),
% 16.41/11.66 inference(unit_resolution,[status(thm)],[27118, 5415])).
% 16.41/11.66 tff(27120,plain,
% 16.41/11.66 (~v130(constB193, bitIndex0)),
% 16.41/11.66 inference(unit_resolution,[status(thm)],[27119, 27117])).
% 16.41/11.66 tff(27121,plain,
% 16.41/11.66 ((~(v127(constB193, bitIndex0) <=> v130(constB193, bitIndex0))) | (~v127(constB193, bitIndex0)) | v130(constB193, bitIndex0)),
% 16.41/11.66 inference(tautology,[status(thm)],[])).
% 16.41/11.66 tff(27122,plain,
% 16.41/11.66 (~v127(constB193, bitIndex0)),
% 16.41/11.66 inference(unit_resolution,[status(thm)],[27121, 27120, 27113])).
% 16.41/11.66 tff(27123,plain,
% 16.41/11.66 ((~(v129(constB194, bitIndex0) <=> v127(constB193, bitIndex0))) | (~v129(constB194, bitIndex0)) | v127(constB193, bitIndex0)),
% 16.41/11.66 inference(tautology,[status(thm)],[])).
% 16.41/11.66 tff(27124,plain,
% 16.41/11.66 (~v129(constB194, bitIndex0)),
% 16.41/11.66 inference(unit_resolution,[status(thm)],[27123, 27122, 27109])).
% 16.41/11.66 tff(27125,plain,
% 16.41/11.66 ((~(v90(constB194, bitIndex0) <=> v129(constB194, bitIndex0))) | (~v90(constB194, bitIndex0)) | v129(constB194, bitIndex0)),
% 16.41/11.66 inference(tautology,[status(thm)],[])).
% 16.41/11.66 tff(27126,plain,
% 16.41/11.66 (~v90(constB194, bitIndex0)),
% 16.41/11.66 inference(unit_resolution,[status(thm)],[27125, 27124, 27105])).
% 16.41/11.66 tff(27127,plain,
% 16.41/11.66 ((~(v90(constB195, bitIndex0) <=> v90(constB194, bitIndex0))) | (~v90(constB195, bitIndex0)) | v90(constB194, bitIndex0)),
% 16.41/11.66 inference(tautology,[status(thm)],[])).
% 16.41/11.66 tff(27128,plain,
% 16.41/11.66 (~v90(constB195, bitIndex0)),
% 16.41/11.66 inference(unit_resolution,[status(thm)],[27127, 27126, 27101])).
% 16.41/11.66 tff(27129,plain,
% 16.41/11.66 ((~(v88(constB195, bitIndex0) <=> v90(constB195, bitIndex0))) | (~v88(constB195, bitIndex0)) | v90(constB195, bitIndex0)),
% 16.41/11.66 inference(tautology,[status(thm)],[])).
% 16.41/11.66 tff(27130,plain,
% 16.41/11.66 (~v88(constB195, bitIndex0)),
% 16.41/11.66 inference(unit_resolution,[status(thm)],[27129, 27128, 27097])).
% 16.41/11.66 tff(27131,plain,
% 16.41/11.66 (((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | ((~less_3(bitIndex1)) | (v88(constB195, bitIndex1) <=> v90(constB195, bitIndex1)))) <=> ((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | (~less_3(bitIndex1)) | (v88(constB195, bitIndex1) <=> v90(constB195, bitIndex1)))),
% 16.41/11.66 inference(rewrite,[status(thm)],[])).
% 16.41/11.66 tff(27132,plain,
% 16.41/11.66 ((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | ((~less_3(bitIndex1)) | (v88(constB195, bitIndex1) <=> v90(constB195, bitIndex1)))),
% 16.41/11.66 inference(quant_inst,[status(thm)],[])).
% 16.41/11.66 tff(27133,plain,
% 16.41/11.66 ((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | (~less_3(bitIndex1)) | (v88(constB195, bitIndex1) <=> v90(constB195, bitIndex1))),
% 16.41/11.66 inference(modus_ponens,[status(thm)],[27132, 27131])).
% 16.41/11.66 tff(27134,plain,
% 16.41/11.66 (v88(constB195, bitIndex1) <=> v90(constB195, bitIndex1)),
% 16.41/11.66 inference(unit_resolution,[status(thm)],[27133, 5017, 410])).
% 16.41/11.66 tff(27135,plain,
% 16.41/11.66 (((~![B: $i] : ((~less_3(B)) | (v90(constB195, B) <=> v90(constB194, B)))) | ((~less_3(bitIndex1)) | (v90(constB195, bitIndex1) <=> v90(constB194, bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v90(constB195, B) <=> v90(constB194, B)))) | (~less_3(bitIndex1)) | (v90(constB195, bitIndex1) <=> v90(constB194, bitIndex1)))),
% 16.41/11.66 inference(rewrite,[status(thm)],[])).
% 16.41/11.66 tff(27136,plain,
% 16.41/11.66 ((~![B: $i] : ((~less_3(B)) | (v90(constB195, B) <=> v90(constB194, B)))) | ((~less_3(bitIndex1)) | (v90(constB195, bitIndex1) <=> v90(constB194, bitIndex1)))),
% 16.41/11.66 inference(quant_inst,[status(thm)],[])).
% 16.41/11.66 tff(27137,plain,
% 16.41/11.66 ((~![B: $i] : ((~less_3(B)) | (v90(constB195, B) <=> v90(constB194, B)))) | (~less_3(bitIndex1)) | (v90(constB195, bitIndex1) <=> v90(constB194, bitIndex1))),
% 16.41/11.66 inference(modus_ponens,[status(thm)],[27136, 27135])).
% 16.41/11.66 tff(27138,plain,
% 16.41/11.66 (v90(constB195, bitIndex1) <=> v90(constB194, bitIndex1)),
% 16.41/11.66 inference(unit_resolution,[status(thm)],[27137, 5017, 23857])).
% 16.41/11.66 tff(27139,plain,
% 16.41/11.66 (((~![B: $i] : ((~less_3(B)) | (v90(constB194, B) <=> v129(constB194, B)))) | ((~less_3(bitIndex1)) | (v90(constB194, bitIndex1) <=> v129(constB194, bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v90(constB194, B) <=> v129(constB194, B)))) | (~less_3(bitIndex1)) | (v90(constB194, bitIndex1) <=> v129(constB194, bitIndex1)))),
% 16.41/11.66 inference(rewrite,[status(thm)],[])).
% 16.41/11.66 tff(27140,plain,
% 16.41/11.66 ((~![B: $i] : ((~less_3(B)) | (v90(constB194, B) <=> v129(constB194, B)))) | ((~less_3(bitIndex1)) | (v90(constB194, bitIndex1) <=> v129(constB194, bitIndex1)))),
% 16.41/11.66 inference(quant_inst,[status(thm)],[])).
% 16.41/11.66 tff(27141,plain,
% 16.41/11.66 ((~![B: $i] : ((~less_3(B)) | (v90(constB194, B) <=> v129(constB194, B)))) | (~less_3(bitIndex1)) | (v90(constB194, bitIndex1) <=> v129(constB194, bitIndex1))),
% 16.41/11.66 inference(modus_ponens,[status(thm)],[27140, 27139])).
% 16.41/11.66 tff(27142,plain,
% 16.41/11.66 (v90(constB194, bitIndex1) <=> v129(constB194, bitIndex1)),
% 16.41/11.66 inference(unit_resolution,[status(thm)],[27141, 5017, 27051])).
% 16.41/11.66 tff(27143,plain,
% 16.41/11.66 (((~![B: $i] : ((~less_3(B)) | (v129(constB194, B) <=> v127(constB193, B)))) | ((~less_3(bitIndex1)) | (v129(constB194, bitIndex1) <=> v127(constB193, bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v129(constB194, B) <=> v127(constB193, B)))) | (~less_3(bitIndex1)) | (v129(constB194, bitIndex1) <=> v127(constB193, bitIndex1)))),
% 16.41/11.66 inference(rewrite,[status(thm)],[])).
% 16.41/11.66 tff(27144,plain,
% 16.41/11.66 ((~![B: $i] : ((~less_3(B)) | (v129(constB194, B) <=> v127(constB193, B)))) | ((~less_3(bitIndex1)) | (v129(constB194, bitIndex1) <=> v127(constB193, bitIndex1)))),
% 16.41/11.66 inference(quant_inst,[status(thm)],[])).
% 16.41/11.66 tff(27145,plain,
% 16.41/11.66 ((~![B: $i] : ((~less_3(B)) | (v129(constB194, B) <=> v127(constB193, B)))) | (~less_3(bitIndex1)) | (v129(constB194, bitIndex1) <=> v127(constB193, bitIndex1))),
% 16.41/11.66 inference(modus_ponens,[status(thm)],[27144, 27143])).
% 16.41/11.66 tff(27146,plain,
% 16.41/11.66 (v129(constB194, bitIndex1) <=> v127(constB193, bitIndex1)),
% 16.41/11.66 inference(unit_resolution,[status(thm)],[27145, 5017, 27059])).
% 16.41/11.66 tff(27147,plain,
% 16.41/11.66 (((~![B: $i] : ((~less_3(B)) | (v127(constB193, B) <=> v130(constB193, B)))) | ((~less_3(bitIndex1)) | (v127(constB193, bitIndex1) <=> v130(constB193, bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v127(constB193, B) <=> v130(constB193, B)))) | (~less_3(bitIndex1)) | (v127(constB193, bitIndex1) <=> v130(constB193, bitIndex1)))),
% 16.41/11.66 inference(rewrite,[status(thm)],[])).
% 16.41/11.66 tff(27148,plain,
% 16.41/11.66 ((~![B: $i] : ((~less_3(B)) | (v127(constB193, B) <=> v130(constB193, B)))) | ((~less_3(bitIndex1)) | (v127(constB193, bitIndex1) <=> v130(constB193, bitIndex1)))),
% 16.41/11.66 inference(quant_inst,[status(thm)],[])).
% 16.41/11.66 tff(27149,plain,
% 16.41/11.66 ((~![B: $i] : ((~less_3(B)) | (v127(constB193, B) <=> v130(constB193, B)))) | (~less_3(bitIndex1)) | (v127(constB193, bitIndex1) <=> v130(constB193, bitIndex1))),
% 16.41/11.66 inference(modus_ponens,[status(thm)],[27148, 27147])).
% 16.41/11.66 tff(27150,plain,
% 16.41/11.66 (v127(constB193, bitIndex1) <=> v130(constB193, bitIndex1)),
% 16.41/11.66 inference(unit_resolution,[status(thm)],[27149, 5017, 27067])).
% 16.41/11.66 tff(27151,plain,
% 16.41/11.66 (((~![B: $i] : ((~less_3(B)) | (v130(constB193, B) <=> b110(B)))) | ((~less_3(bitIndex1)) | (v130(constB193, bitIndex1) <=> b110(bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v130(constB193, B) <=> b110(B)))) | (~less_3(bitIndex1)) | (v130(constB193, bitIndex1) <=> b110(bitIndex1)))),
% 16.41/11.66 inference(rewrite,[status(thm)],[])).
% 16.41/11.66 tff(27152,plain,
% 16.41/11.66 ((~![B: $i] : ((~less_3(B)) | (v130(constB193, B) <=> b110(B)))) | ((~less_3(bitIndex1)) | (v130(constB193, bitIndex1) <=> b110(bitIndex1)))),
% 16.41/11.66 inference(quant_inst,[status(thm)],[])).
% 16.41/11.66 tff(27153,plain,
% 16.41/11.66 ((~![B: $i] : ((~less_3(B)) | (v130(constB193, B) <=> b110(B)))) | (~less_3(bitIndex1)) | (v130(constB193, bitIndex1) <=> b110(bitIndex1))),
% 16.41/11.66 inference(modus_ponens,[status(thm)],[27152, 27151])).
% 16.41/11.66 tff(27154,plain,
% 16.41/11.66 (v130(constB193, bitIndex1) <=> b110(bitIndex1)),
% 16.41/11.66 inference(unit_resolution,[status(thm)],[27153, 5017, 27076])).
% 16.41/11.66 tff(27155,plain,
% 16.41/11.66 ((~(v130(constB193, bitIndex1) <=> b110(bitIndex1))) | v130(constB193, bitIndex1) | (~b110(bitIndex1))),
% 16.41/11.66 inference(tautology,[status(thm)],[])).
% 16.41/11.66 tff(27156,plain,
% 16.41/11.66 ((~(v130(constB193, bitIndex1) <=> b110(bitIndex1))) | v130(constB193, bitIndex1)),
% 16.41/11.66 inference(unit_resolution,[status(thm)],[27155, 5449])).
% 16.41/11.66 tff(27157,plain,
% 16.41/11.66 (v130(constB193, bitIndex1)),
% 16.41/11.66 inference(unit_resolution,[status(thm)],[27156, 27154])).
% 16.41/11.66 tff(27158,plain,
% 16.41/11.66 ((~(v127(constB193, bitIndex1) <=> v130(constB193, bitIndex1))) | v127(constB193, bitIndex1) | (~v130(constB193, bitIndex1))),
% 16.41/11.66 inference(tautology,[status(thm)],[])).
% 16.41/11.66 tff(27159,plain,
% 16.41/11.66 (v127(constB193, bitIndex1)),
% 16.41/11.66 inference(unit_resolution,[status(thm)],[27158, 27157, 27150])).
% 16.41/11.66 tff(27160,plain,
% 16.41/11.66 ((~(v129(constB194, bitIndex1) <=> v127(constB193, bitIndex1))) | v129(constB194, bitIndex1) | (~v127(constB193, bitIndex1))),
% 16.41/11.66 inference(tautology,[status(thm)],[])).
% 16.41/11.66 tff(27161,plain,
% 16.41/11.66 (v129(constB194, bitIndex1)),
% 16.41/11.66 inference(unit_resolution,[status(thm)],[27160, 27159, 27146])).
% 16.41/11.66 tff(27162,plain,
% 16.41/11.66 ((~(v90(constB194, bitIndex1) <=> v129(constB194, bitIndex1))) | v90(constB194, bitIndex1) | (~v129(constB194, bitIndex1))),
% 16.41/11.66 inference(tautology,[status(thm)],[])).
% 16.41/11.66 tff(27163,plain,
% 16.41/11.66 (v90(constB194, bitIndex1)),
% 16.41/11.66 inference(unit_resolution,[status(thm)],[27162, 27161, 27142])).
% 16.41/11.66 tff(27164,plain,
% 16.41/11.66 ((~(v90(constB195, bitIndex1) <=> v90(constB194, bitIndex1))) | v90(constB195, bitIndex1) | (~v90(constB194, bitIndex1))),
% 16.41/11.66 inference(tautology,[status(thm)],[])).
% 16.41/11.66 tff(27165,plain,
% 16.41/11.66 (v90(constB195, bitIndex1)),
% 16.41/11.66 inference(unit_resolution,[status(thm)],[27164, 27163, 27138])).
% 16.41/11.66 tff(27166,plain,
% 16.41/11.66 ((~(v88(constB195, bitIndex1) <=> v90(constB195, bitIndex1))) | v88(constB195, bitIndex1) | (~v90(constB195, bitIndex1))),
% 16.41/11.66 inference(tautology,[status(thm)],[])).
% 16.41/11.66 tff(27167,plain,
% 16.41/11.66 (v88(constB195, bitIndex1)),
% 16.41/11.66 inference(unit_resolution,[status(thm)],[27166, 27165, 27134])).
% 16.41/11.66 tff(27168,plain,
% 16.41/11.66 ((~((~v88(constB195, bitIndex2)) | (~v88(constB195, bitIndex1)) | v88(constB195, bitIndex0))) | (~v88(constB195, bitIndex2)) | (~v88(constB195, bitIndex1)) | v88(constB195, bitIndex0)),
% 16.41/11.66 inference(tautology,[status(thm)],[])).
% 16.41/11.66 tff(27169,plain,
% 16.41/11.66 (~((~v88(constB195, bitIndex2)) | (~v88(constB195, bitIndex1)) | v88(constB195, bitIndex0))),
% 16.41/11.66 inference(unit_resolution,[status(thm)],[27168, 27167, 27130, 27093])).
% 16.41/11.66 tff(27170,plain,
% 16.41/11.66 ((~(v144(constB195) <=> (~((~v88(constB195, bitIndex2)) | (~v88(constB195, bitIndex1)) | v88(constB195, bitIndex0))))) | v144(constB195) | ((~v88(constB195, bitIndex2)) | (~v88(constB195, bitIndex1)) | v88(constB195, bitIndex0))),
% 16.41/11.66 inference(tautology,[status(thm)],[])).
% 16.41/11.66 tff(27171,plain,
% 16.41/11.66 (v144(constB195)),
% 16.41/11.66 inference(unit_resolution,[status(thm)],[27170, 27169, 23822])).
% 16.41/11.66 tff(27172,plain,
% 16.41/11.66 ((v143(constB195) | v144(constB195)) | (~v144(constB195))),
% 16.41/11.66 inference(tautology,[status(thm)],[])).
% 16.41/11.66 tff(27173,plain,
% 16.41/11.66 (v143(constB195) | v144(constB195)),
% 16.41/11.66 inference(unit_resolution,[status(thm)],[27172, 27171])).
% 16.41/11.66 tff(27174,plain,
% 16.41/11.66 ((~(v142(constB195) <=> (v143(constB195) | v144(constB195)))) | v142(constB195) | (~(v143(constB195) | v144(constB195)))),
% 16.41/11.66 inference(tautology,[status(thm)],[])).
% 16.41/11.66 tff(27175,plain,
% 16.41/11.66 (v142(constB195)),
% 16.41/11.66 inference(unit_resolution,[status(thm)],[27174, 27173, 23815])).
% 16.41/11.66 tff(27176,plain,
% 16.41/11.66 (((~![VarCurr: $i] : (v148(VarCurr) | (~v142(VarCurr)))) | (v148(constB195) | (~v142(constB195)))) <=> ((~![VarCurr: $i] : (v148(VarCurr) | (~v142(VarCurr)))) | v148(constB195) | (~v142(constB195)))),
% 16.41/11.66 inference(rewrite,[status(thm)],[])).
% 16.41/11.66 tff(27177,plain,
% 16.41/11.66 ((~![VarCurr: $i] : (v148(VarCurr) | (~v142(VarCurr)))) | (v148(constB195) | (~v142(constB195)))),
% 16.41/11.66 inference(quant_inst,[status(thm)],[])).
% 16.41/11.66 tff(27178,plain,
% 16.41/11.66 ((~![VarCurr: $i] : (v148(VarCurr) | (~v142(VarCurr)))) | v148(constB195) | (~v142(constB195))),
% 16.41/11.66 inference(modus_ponens,[status(thm)],[27177, 27176])).
% 16.41/11.66 tff(27179,plain,
% 16.41/11.66 (v148(constB195) | (~v142(constB195))),
% 16.41/11.66 inference(unit_resolution,[status(thm)],[27178, 23525])).
% 16.41/11.66 tff(27180,plain,
% 16.41/11.66 (v148(constB195)),
% 16.41/11.66 inference(unit_resolution,[status(thm)],[27179, 27175])).
% 16.41/11.66 tff(27181,plain,
% 16.41/11.66 ((~![VarCurr: $i] : (v135(VarCurr) <=> (v136(VarCurr) | v145(VarCurr)))) | (v135(constB195) <=> (v136(constB195) | v145(constB195)))),
% 16.41/11.66 inference(quant_inst,[status(thm)],[])).
% 16.41/11.66 tff(27182,plain,
% 16.41/11.66 (v135(constB195) <=> (v136(constB195) | v145(constB195))),
% 16.41/11.66 inference(unit_resolution,[status(thm)],[27181, 23537])).
% 16.41/11.66 tff(27183,plain,
% 16.41/11.66 ((~![VarCurr: $i] : (v136(VarCurr) <=> (v137(VarCurr) | v142(VarCurr)))) | (v136(constB195) <=> (v137(constB195) | v142(constB195)))),
% 16.41/11.66 inference(quant_inst,[status(thm)],[])).
% 16.41/11.66 tff(27184,plain,
% 16.41/11.66 (v136(constB195) <=> (v137(constB195) | v142(constB195))),
% 16.41/11.66 inference(unit_resolution,[status(thm)],[27183, 23546])).
% 16.41/11.66 tff(27185,plain,
% 16.41/11.66 ((v137(constB195) | v142(constB195)) | (~v142(constB195))),
% 16.41/11.66 inference(tautology,[status(thm)],[])).
% 16.41/11.66 tff(27186,plain,
% 16.41/11.66 (v137(constB195) | v142(constB195)),
% 16.41/11.66 inference(unit_resolution,[status(thm)],[27185, 27175])).
% 16.41/11.66 tff(27187,plain,
% 16.41/11.66 ((~(v136(constB195) <=> (v137(constB195) | v142(constB195)))) | v136(constB195) | (~(v137(constB195) | v142(constB195)))),
% 16.41/11.66 inference(tautology,[status(thm)],[])).
% 16.41/11.66 tff(27188,plain,
% 16.41/11.66 (v136(constB195)),
% 16.41/11.66 inference(unit_resolution,[status(thm)],[27187, 27186, 27184])).
% 16.41/11.67 tff(27189,plain,
% 16.41/11.67 ((v136(constB195) | v145(constB195)) | (~v136(constB195))),
% 16.41/11.67 inference(tautology,[status(thm)],[])).
% 16.41/11.67 tff(27190,plain,
% 16.41/11.67 (v136(constB195) | v145(constB195)),
% 16.41/11.67 inference(unit_resolution,[status(thm)],[27189, 27188])).
% 16.41/11.67 tff(27191,plain,
% 16.41/11.67 ((~(v135(constB195) <=> (v136(constB195) | v145(constB195)))) | v135(constB195) | (~(v136(constB195) | v145(constB195)))),
% 16.41/11.67 inference(tautology,[status(thm)],[])).
% 16.41/11.67 tff(27192,plain,
% 16.41/11.67 (v135(constB195)),
% 16.41/11.67 inference(unit_resolution,[status(thm)],[27191, 27190, 27182])).
% 16.41/11.67 tff(27193,plain,
% 16.41/11.67 (((~![VarNext: $i] : ((~v135(VarNext)) | (v86(VarNext) <=> v148(VarNext)))) | ((~v135(constB195)) | (v86(constB195) <=> v148(constB195)))) <=> ((~![VarNext: $i] : ((~v135(VarNext)) | (v86(VarNext) <=> v148(VarNext)))) | (~v135(constB195)) | (v86(constB195) <=> v148(constB195)))),
% 16.41/11.67 inference(rewrite,[status(thm)],[])).
% 16.41/11.67 tff(27194,plain,
% 16.41/11.67 ((~![VarNext: $i] : ((~v135(VarNext)) | (v86(VarNext) <=> v148(VarNext)))) | ((~v135(constB195)) | (v86(constB195) <=> v148(constB195)))),
% 16.41/11.67 inference(quant_inst,[status(thm)],[])).
% 16.41/11.67 tff(27195,plain,
% 16.41/11.67 ((~![VarNext: $i] : ((~v135(VarNext)) | (v86(VarNext) <=> v148(VarNext)))) | (~v135(constB195)) | (v86(constB195) <=> v148(constB195))),
% 16.41/11.67 inference(modus_ponens,[status(thm)],[27194, 27193])).
% 16.41/11.67 tff(27196,plain,
% 16.41/11.67 ((~v135(constB195)) | (v86(constB195) <=> v148(constB195))),
% 16.41/11.67 inference(unit_resolution,[status(thm)],[27195, 23566])).
% 16.41/11.67 tff(27197,plain,
% 16.41/11.67 (v86(constB195) <=> v148(constB195)),
% 16.41/11.67 inference(unit_resolution,[status(thm)],[27196, 27192])).
% 16.41/11.67 tff(27198,plain,
% 16.41/11.67 ((~(v86(constB195) <=> v148(constB195))) | v86(constB195) | (~v148(constB195))),
% 16.41/11.67 inference(tautology,[status(thm)],[])).
% 16.41/11.67 tff(27199,plain,
% 16.41/11.67 (v86(constB195)),
% 16.41/11.67 inference(unit_resolution,[status(thm)],[27198, 27197, 27180])).
% 16.41/11.67 tff(27200,plain,
% 16.41/11.67 ($false),
% 16.41/11.67 inference(unit_resolution,[status(thm)],[27199, 23813])).
% 16.41/11.67 tff(27201,plain,(~(constB195 = VarCurr!0)), inference(lemma,lemma(discharge,[]))).
% 16.41/11.67 tff(27202,assumption,(constB79 = VarCurr!0), introduced(assumption)).
% 16.41/11.67 tff(27203,plain,
% 16.41/11.67 (v86(constB79) <=> v86(VarCurr!0)),
% 16.41/11.67 inference(monotonicity,[status(thm)],[27202])).
% 16.41/11.67 tff(27204,plain,
% 16.41/11.67 (v86(VarCurr!0) <=> v86(constB79)),
% 16.41/11.67 inference(symmetry,[status(thm)],[27203])).
% 16.41/11.67 tff(27205,plain,
% 16.41/11.67 ((~v86(VarCurr!0)) <=> (~v86(constB79))),
% 16.41/11.67 inference(monotonicity,[status(thm)],[27204])).
% 16.41/11.67 tff(27206,plain,
% 16.41/11.67 (~v86(constB79)),
% 16.41/11.67 inference(modus_ponens,[status(thm)],[20649, 27205])).
% 16.41/11.67 tff(27207,plain,
% 16.41/11.67 ((~![VarCurr: $i] : (v142(VarCurr) <=> (v143(VarCurr) | v144(VarCurr)))) | (v142(constB79) <=> (v143(constB79) | v144(constB79)))),
% 16.41/11.67 inference(quant_inst,[status(thm)],[])).
% 16.41/11.67 tff(27208,plain,
% 16.41/11.67 (v142(constB79) <=> (v143(constB79) | v144(constB79))),
% 16.41/11.67 inference(unit_resolution,[status(thm)],[27207, 378])).
% 16.41/11.67 tff(27209,plain,
% 16.41/11.67 (((~![VarCurr: $i] : (v143(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)))))) | (v143(constB79) <=> (~(v88(constB79, bitIndex2) | (~v88(constB79, bitIndex1)) | v88(constB79, bitIndex0))))) <=> ((~![VarCurr: $i] : (v143(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)))))) | (v143(constB79) <=> (~(v88(constB79, bitIndex2) | (~v88(constB79, bitIndex1)) | v88(constB79, bitIndex0)))))),
% 16.41/11.67 inference(rewrite,[status(thm)],[])).
% 16.41/11.67 tff(27210,plain,
% 16.41/11.67 ((v143(constB79) <=> (~(v88(constB79, bitIndex0) | v88(constB79, bitIndex2) | (~v88(constB79, bitIndex1))))) <=> (v143(constB79) <=> (~(v88(constB79, bitIndex2) | (~v88(constB79, bitIndex1)) | v88(constB79, bitIndex0))))),
% 16.41/11.67 inference(rewrite,[status(thm)],[])).
% 16.41/11.67 tff(27211,plain,
% 16.41/11.67 (((~![VarCurr: $i] : (v143(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)))))) | (v143(constB79) <=> (~(v88(constB79, bitIndex0) | v88(constB79, bitIndex2) | (~v88(constB79, bitIndex1)))))) <=> ((~![VarCurr: $i] : (v143(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)))))) | (v143(constB79) <=> (~(v88(constB79, bitIndex2) | (~v88(constB79, bitIndex1)) | v88(constB79, bitIndex0)))))),
% 16.41/11.67 inference(monotonicity,[status(thm)],[27210])).
% 16.41/11.67 tff(27212,plain,
% 16.41/11.67 (((~![VarCurr: $i] : (v143(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)))))) | (v143(constB79) <=> (~(v88(constB79, bitIndex0) | v88(constB79, bitIndex2) | (~v88(constB79, bitIndex1)))))) <=> ((~![VarCurr: $i] : (v143(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)))))) | (v143(constB79) <=> (~(v88(constB79, bitIndex2) | (~v88(constB79, bitIndex1)) | v88(constB79, bitIndex0)))))),
% 16.41/11.67 inference(transitivity,[status(thm)],[27211, 27209])).
% 16.41/11.67 tff(27213,plain,
% 16.41/11.67 ((~![VarCurr: $i] : (v143(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)))))) | (v143(constB79) <=> (~(v88(constB79, bitIndex0) | v88(constB79, bitIndex2) | (~v88(constB79, bitIndex1)))))),
% 16.41/11.67 inference(quant_inst,[status(thm)],[])).
% 16.41/11.67 tff(27214,plain,
% 16.41/11.67 ((~![VarCurr: $i] : (v143(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)))))) | (v143(constB79) <=> (~(v88(constB79, bitIndex2) | (~v88(constB79, bitIndex1)) | v88(constB79, bitIndex0))))),
% 16.41/11.67 inference(modus_ponens,[status(thm)],[27213, 27212])).
% 16.41/11.67 tff(27215,plain,
% 16.41/11.67 (v143(constB79) <=> (~(v88(constB79, bitIndex2) | (~v88(constB79, bitIndex1)) | v88(constB79, bitIndex0)))),
% 16.41/11.67 inference(unit_resolution,[status(thm)],[27214, 20665])).
% 16.41/11.67 tff(27216,plain,
% 16.41/11.67 (((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | ((~less_3(bitIndex2)) | (v88(constB79, bitIndex2) <=> v90(constB79, bitIndex2)))) <=> ((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | (~less_3(bitIndex2)) | (v88(constB79, bitIndex2) <=> v90(constB79, bitIndex2)))),
% 16.41/11.67 inference(rewrite,[status(thm)],[])).
% 16.41/11.67 tff(27217,plain,
% 16.41/11.67 ((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | ((~less_3(bitIndex2)) | (v88(constB79, bitIndex2) <=> v90(constB79, bitIndex2)))),
% 16.41/11.67 inference(quant_inst,[status(thm)],[])).
% 16.41/11.67 tff(27218,plain,
% 16.41/11.67 ((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | (~less_3(bitIndex2)) | (v88(constB79, bitIndex2) <=> v90(constB79, bitIndex2))),
% 16.41/11.67 inference(modus_ponens,[status(thm)],[27217, 27216])).
% 16.41/11.67 tff(27219,plain,
% 16.41/11.67 (v88(constB79, bitIndex2) <=> v90(constB79, bitIndex2)),
% 16.41/11.67 inference(unit_resolution,[status(thm)],[27218, 413, 410])).
% 16.41/11.67 tff(27220,plain,
% 16.41/11.67 ((~(v88(constB79, bitIndex2) <=> v90(constB79, bitIndex2))) | (~v88(constB79, bitIndex2)) | v90(constB79, bitIndex2)),
% 16.41/11.67 inference(tautology,[status(thm)],[])).
% 16.41/11.67 tff(27221,plain,
% 16.41/11.67 (~v88(constB79, bitIndex2)),
% 16.41/11.67 inference(unit_resolution,[status(thm)],[27220, 11671, 27219])).
% 16.41/11.67 tff(27222,plain,
% 16.41/11.67 (((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | ((~less_3(bitIndex0)) | (v88(constB79, bitIndex0) <=> v90(constB79, bitIndex0)))) <=> ((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | (~less_3(bitIndex0)) | (v88(constB79, bitIndex0) <=> v90(constB79, bitIndex0)))),
% 16.41/11.67 inference(rewrite,[status(thm)],[])).
% 16.41/11.67 tff(27223,plain,
% 16.41/11.67 ((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | ((~less_3(bitIndex0)) | (v88(constB79, bitIndex0) <=> v90(constB79, bitIndex0)))),
% 16.41/11.67 inference(quant_inst,[status(thm)],[])).
% 16.41/11.67 tff(27224,plain,
% 16.41/11.67 ((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | (~less_3(bitIndex0)) | (v88(constB79, bitIndex0) <=> v90(constB79, bitIndex0))),
% 16.41/11.67 inference(modus_ponens,[status(thm)],[27223, 27222])).
% 16.41/11.67 tff(27225,plain,
% 16.41/11.67 (v88(constB79, bitIndex0) <=> v90(constB79, bitIndex0)),
% 16.41/11.67 inference(unit_resolution,[status(thm)],[27224, 5004, 410])).
% 16.41/11.67 tff(27226,plain,
% 16.41/11.67 ((~(v88(constB79, bitIndex0) <=> v90(constB79, bitIndex0))) | (~v88(constB79, bitIndex0)) | v90(constB79, bitIndex0)),
% 16.41/11.67 inference(tautology,[status(thm)],[])).
% 16.41/11.67 tff(27227,plain,
% 16.41/11.67 (~v88(constB79, bitIndex0)),
% 16.41/11.67 inference(unit_resolution,[status(thm)],[27226, 11702, 27225])).
% 16.41/11.67 tff(27228,plain,
% 16.41/11.67 (((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | ((~less_3(bitIndex1)) | (v88(constB79, bitIndex1) <=> v90(constB79, bitIndex1)))) <=> ((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | (~less_3(bitIndex1)) | (v88(constB79, bitIndex1) <=> v90(constB79, bitIndex1)))),
% 16.41/11.67 inference(rewrite,[status(thm)],[])).
% 16.41/11.67 tff(27229,plain,
% 16.41/11.67 ((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | ((~less_3(bitIndex1)) | (v88(constB79, bitIndex1) <=> v90(constB79, bitIndex1)))),
% 16.41/11.67 inference(quant_inst,[status(thm)],[])).
% 16.41/11.67 tff(27230,plain,
% 16.41/11.67 ((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | (~less_3(bitIndex1)) | (v88(constB79, bitIndex1) <=> v90(constB79, bitIndex1))),
% 16.41/11.67 inference(modus_ponens,[status(thm)],[27229, 27228])).
% 16.41/11.67 tff(27231,plain,
% 16.41/11.67 (v88(constB79, bitIndex1) <=> v90(constB79, bitIndex1)),
% 16.41/11.67 inference(unit_resolution,[status(thm)],[27230, 5017, 410])).
% 16.41/11.67 tff(27232,plain,
% 16.41/11.67 ((~(v88(constB79, bitIndex1) <=> v90(constB79, bitIndex1))) | v88(constB79, bitIndex1) | (~v90(constB79, bitIndex1))),
% 16.41/11.67 inference(tautology,[status(thm)],[])).
% 16.41/11.67 tff(27233,plain,
% 16.41/11.67 (v88(constB79, bitIndex1)),
% 16.41/11.67 inference(unit_resolution,[status(thm)],[27232, 11733, 27231])).
% 16.41/11.67 tff(27234,plain,
% 16.41/11.67 ((~(v88(constB79, bitIndex2) | (~v88(constB79, bitIndex1)) | v88(constB79, bitIndex0))) | v88(constB79, bitIndex2) | (~v88(constB79, bitIndex1)) | v88(constB79, bitIndex0)),
% 16.41/11.67 inference(tautology,[status(thm)],[])).
% 16.41/11.67 tff(27235,plain,
% 16.41/11.67 (~(v88(constB79, bitIndex2) | (~v88(constB79, bitIndex1)) | v88(constB79, bitIndex0))),
% 16.41/11.67 inference(unit_resolution,[status(thm)],[27234, 27233, 27227, 27221])).
% 16.41/11.67 tff(27236,plain,
% 16.41/11.67 ((~(v143(constB79) <=> (~(v88(constB79, bitIndex2) | (~v88(constB79, bitIndex1)) | v88(constB79, bitIndex0))))) | v143(constB79) | (v88(constB79, bitIndex2) | (~v88(constB79, bitIndex1)) | v88(constB79, bitIndex0))),
% 16.41/11.67 inference(tautology,[status(thm)],[])).
% 16.41/11.67 tff(27237,plain,
% 16.41/11.67 (v143(constB79)),
% 16.41/11.67 inference(unit_resolution,[status(thm)],[27236, 27235, 27215])).
% 16.41/11.67 tff(27238,plain,
% 16.41/11.67 ((v143(constB79) | v144(constB79)) | (~v143(constB79))),
% 16.41/11.67 inference(tautology,[status(thm)],[])).
% 16.41/11.67 tff(27239,plain,
% 16.41/11.67 (v143(constB79) | v144(constB79)),
% 16.41/11.67 inference(unit_resolution,[status(thm)],[27238, 27237])).
% 16.41/11.67 tff(27240,plain,
% 16.41/11.67 ((~(v142(constB79) <=> (v143(constB79) | v144(constB79)))) | v142(constB79) | (~(v143(constB79) | v144(constB79)))),
% 16.41/11.67 inference(tautology,[status(thm)],[])).
% 16.41/11.67 tff(27241,plain,
% 16.41/11.67 (v142(constB79)),
% 16.41/11.67 inference(unit_resolution,[status(thm)],[27240, 27239, 27208])).
% 16.41/11.67 tff(27242,plain,
% 16.41/11.67 (((~![VarCurr: $i] : (v148(VarCurr) | (~v142(VarCurr)))) | (v148(constB79) | (~v142(constB79)))) <=> ((~![VarCurr: $i] : (v148(VarCurr) | (~v142(VarCurr)))) | v148(constB79) | (~v142(constB79)))),
% 16.41/11.67 inference(rewrite,[status(thm)],[])).
% 16.41/11.67 tff(27243,plain,
% 16.41/11.67 ((~![VarCurr: $i] : (v148(VarCurr) | (~v142(VarCurr)))) | (v148(constB79) | (~v142(constB79)))),
% 16.41/11.67 inference(quant_inst,[status(thm)],[])).
% 16.41/11.67 tff(27244,plain,
% 16.41/11.67 ((~![VarCurr: $i] : (v148(VarCurr) | (~v142(VarCurr)))) | v148(constB79) | (~v142(constB79))),
% 16.41/11.67 inference(modus_ponens,[status(thm)],[27243, 27242])).
% 16.41/11.67 tff(27245,plain,
% 16.41/11.67 (v148(constB79) | (~v142(constB79))),
% 16.41/11.67 inference(unit_resolution,[status(thm)],[27244, 23525])).
% 16.41/11.67 tff(27246,plain,
% 16.41/11.67 (v148(constB79)),
% 16.41/11.67 inference(unit_resolution,[status(thm)],[27245, 27241])).
% 16.41/11.67 tff(27247,plain,
% 16.41/11.67 ((~![VarCurr: $i] : (v135(VarCurr) <=> (v136(VarCurr) | v145(VarCurr)))) | (v135(constB79) <=> (v136(constB79) | v145(constB79)))),
% 16.41/11.67 inference(quant_inst,[status(thm)],[])).
% 16.41/11.67 tff(27248,plain,
% 16.41/11.67 (v135(constB79) <=> (v136(constB79) | v145(constB79))),
% 16.41/11.67 inference(unit_resolution,[status(thm)],[27247, 23537])).
% 16.41/11.67 tff(27249,plain,
% 16.41/11.67 ((~![VarCurr: $i] : (v136(VarCurr) <=> (v137(VarCurr) | v142(VarCurr)))) | (v136(constB79) <=> (v137(constB79) | v142(constB79)))),
% 16.41/11.67 inference(quant_inst,[status(thm)],[])).
% 16.41/11.67 tff(27250,plain,
% 16.41/11.67 (v136(constB79) <=> (v137(constB79) | v142(constB79))),
% 16.41/11.67 inference(unit_resolution,[status(thm)],[27249, 23546])).
% 16.41/11.67 tff(27251,plain,
% 16.41/11.67 ((v137(constB79) | v142(constB79)) | (~v142(constB79))),
% 16.41/11.67 inference(tautology,[status(thm)],[])).
% 16.41/11.67 tff(27252,plain,
% 16.41/11.67 (v137(constB79) | v142(constB79)),
% 16.41/11.67 inference(unit_resolution,[status(thm)],[27251, 27241])).
% 16.41/11.67 tff(27253,plain,
% 16.41/11.67 ((~(v136(constB79) <=> (v137(constB79) | v142(constB79)))) | v136(constB79) | (~(v137(constB79) | v142(constB79)))),
% 16.41/11.67 inference(tautology,[status(thm)],[])).
% 16.41/11.67 tff(27254,plain,
% 16.41/11.67 (v136(constB79)),
% 16.41/11.67 inference(unit_resolution,[status(thm)],[27253, 27252, 27250])).
% 16.41/11.67 tff(27255,plain,
% 16.41/11.67 ((v136(constB79) | v145(constB79)) | (~v136(constB79))),
% 16.41/11.67 inference(tautology,[status(thm)],[])).
% 16.41/11.67 tff(27256,plain,
% 16.41/11.67 (v136(constB79) | v145(constB79)),
% 16.41/11.67 inference(unit_resolution,[status(thm)],[27255, 27254])).
% 16.41/11.67 tff(27257,plain,
% 16.41/11.67 ((~(v135(constB79) <=> (v136(constB79) | v145(constB79)))) | v135(constB79) | (~(v136(constB79) | v145(constB79)))),
% 16.41/11.67 inference(tautology,[status(thm)],[])).
% 16.41/11.67 tff(27258,plain,
% 16.41/11.67 (v135(constB79)),
% 16.41/11.67 inference(unit_resolution,[status(thm)],[27257, 27256, 27248])).
% 16.41/11.67 tff(27259,plain,
% 16.41/11.67 (((~![VarNext: $i] : ((~v135(VarNext)) | (v86(VarNext) <=> v148(VarNext)))) | ((~v135(constB79)) | (v86(constB79) <=> v148(constB79)))) <=> ((~![VarNext: $i] : ((~v135(VarNext)) | (v86(VarNext) <=> v148(VarNext)))) | (~v135(constB79)) | (v86(constB79) <=> v148(constB79)))),
% 16.41/11.67 inference(rewrite,[status(thm)],[])).
% 16.41/11.67 tff(27260,plain,
% 16.41/11.67 ((~![VarNext: $i] : ((~v135(VarNext)) | (v86(VarNext) <=> v148(VarNext)))) | ((~v135(constB79)) | (v86(constB79) <=> v148(constB79)))),
% 16.41/11.67 inference(quant_inst,[status(thm)],[])).
% 16.41/11.67 tff(27261,plain,
% 16.41/11.67 ((~![VarNext: $i] : ((~v135(VarNext)) | (v86(VarNext) <=> v148(VarNext)))) | (~v135(constB79)) | (v86(constB79) <=> v148(constB79))),
% 16.41/11.67 inference(modus_ponens,[status(thm)],[27260, 27259])).
% 16.41/11.67 tff(27262,plain,
% 16.41/11.67 ((~v135(constB79)) | (v86(constB79) <=> v148(constB79))),
% 16.41/11.67 inference(unit_resolution,[status(thm)],[27261, 23566])).
% 16.41/11.67 tff(27263,plain,
% 16.41/11.67 (v86(constB79) <=> v148(constB79)),
% 16.41/11.67 inference(unit_resolution,[status(thm)],[27262, 27258])).
% 16.41/11.67 tff(27264,plain,
% 16.41/11.67 ((~(v86(constB79) <=> v148(constB79))) | v86(constB79) | (~v148(constB79))),
% 16.41/11.67 inference(tautology,[status(thm)],[])).
% 16.41/11.67 tff(27265,plain,
% 16.41/11.67 (v86(constB79)),
% 16.41/11.67 inference(unit_resolution,[status(thm)],[27264, 27263, 27246])).
% 16.41/11.67 tff(27266,plain,
% 16.41/11.67 ($false),
% 16.41/11.67 inference(unit_resolution,[status(thm)],[27265, 27206])).
% 16.41/11.67 tff(27267,plain,(~(constB79 = VarCurr!0)), inference(lemma,lemma(discharge,[]))).
% 16.41/11.67 tff(27268,assumption,(constB93 = VarCurr!0), introduced(assumption)).
% 16.41/11.67 tff(27269,plain,
% 16.41/11.67 (v193(constB93) <=> v193(VarCurr!0)),
% 16.41/11.67 inference(monotonicity,[status(thm)],[27268])).
% 16.41/11.67 tff(27270,plain,
% 16.41/11.67 (v193(VarCurr!0) <=> v193(constB93)),
% 16.41/11.67 inference(symmetry,[status(thm)],[27269])).
% 16.41/11.67 tff(27271,plain,
% 16.41/11.67 (v193(constB93)),
% 16.41/11.67 inference(modus_ponens,[status(thm)],[59, 27270])).
% 16.41/11.67 tff(27272,plain,
% 16.41/11.67 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v193(VarNext) <=> v191(VarCurr)))) | ((~nextState(constB92, constB93)) | (v193(constB93) <=> v191(constB92)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v193(VarNext) <=> v191(VarCurr)))) | (~nextState(constB92, constB93)) | (v193(constB93) <=> v191(constB92)))),
% 16.41/11.67 inference(rewrite,[status(thm)],[])).
% 16.41/11.67 tff(27273,plain,
% 16.41/11.67 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v193(VarNext) <=> v191(VarCurr)))) | ((~nextState(constB92, constB93)) | (v193(constB93) <=> v191(constB92)))),
% 16.41/11.67 inference(quant_inst,[status(thm)],[])).
% 16.41/11.67 tff(27274,plain,
% 16.41/11.67 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v193(VarNext) <=> v191(VarCurr)))) | (~nextState(constB92, constB93)) | (v193(constB93) <=> v191(constB92))),
% 16.41/11.67 inference(modus_ponens,[status(thm)],[27273, 27272])).
% 16.41/11.67 tff(27275,plain,
% 16.41/11.67 (v193(constB93) <=> v191(constB92)),
% 16.41/11.67 inference(unit_resolution,[status(thm)],[27274, 631, 70])).
% 16.41/11.67 tff(27276,plain,
% 16.41/11.67 ((~![VarCurr: $i] : (v191(VarCurr) <=> (v194(VarCurr) | v198(VarCurr)))) | (v191(constB92) <=> (v194(constB92) | v198(constB92)))),
% 16.41/11.68 inference(quant_inst,[status(thm)],[])).
% 16.41/11.68 tff(27277,plain,
% 16.41/11.68 (v191(constB92) <=> (v194(constB92) | v198(constB92))),
% 16.41/11.68 inference(unit_resolution,[status(thm)],[27276, 84])).
% 16.41/11.68 tff(27278,plain,
% 16.41/11.68 ((~![VarCurr: $i] : (v198(VarCurr) <=> (~((~v199(VarCurr)) | (~v200(VarCurr)))))) | (v198(constB92) <=> (~((~v199(constB92)) | (~v200(constB92)))))),
% 16.41/11.68 inference(quant_inst,[status(thm)],[])).
% 16.41/11.68 tff(27279,plain,
% 16.41/11.68 (v198(constB92) <=> (~((~v199(constB92)) | (~v200(constB92))))),
% 16.41/11.68 inference(unit_resolution,[status(thm)],[27278, 96])).
% 16.41/11.68 tff(27280,plain,
% 16.41/11.68 ((~![VarCurr: $i] : (v200(VarCurr) <=> (~((~v197(VarCurr)) | (~v201(VarCurr)))))) | (v200(constB92) <=> (~((~v197(constB92)) | (~v201(constB92)))))),
% 16.41/11.68 inference(quant_inst,[status(thm)],[])).
% 16.41/11.68 tff(27281,plain,
% 16.41/11.68 (v200(constB92) <=> (~((~v197(constB92)) | (~v201(constB92))))),
% 16.41/11.68 inference(unit_resolution,[status(thm)],[27280, 108])).
% 16.41/11.68 tff(27282,plain,
% 16.41/11.68 ((~![VarCurr: $i] : (v197(VarCurr) <=> (~((~v39(VarCurr)) | (~v9(VarCurr)))))) | (v197(constB92) <=> (~((~v39(constB92)) | (~v9(constB92)))))),
% 16.41/11.68 inference(quant_inst,[status(thm)],[])).
% 16.41/11.68 tff(27283,plain,
% 16.41/11.68 (v197(constB92) <=> (~((~v39(constB92)) | (~v9(constB92))))),
% 16.41/11.68 inference(unit_resolution,[status(thm)],[27282, 120])).
% 16.41/11.68 tff(27284,plain,
% 16.41/11.68 ((~![VarCurr: $i] : ((~v39(VarCurr)) <=> v1(VarCurr))) | ((~v39(constB92)) <=> v1(constB92))),
% 16.41/11.68 inference(quant_inst,[status(thm)],[])).
% 16.41/11.68 tff(27285,plain,
% 16.41/11.68 ((~v39(constB92)) <=> v1(constB92)),
% 16.41/11.68 inference(unit_resolution,[status(thm)],[27284, 129])).
% 16.41/11.68 tff(27286,plain,
% 16.41/11.68 ((~((~v39(constB92)) <=> v1(constB92))) | (~v39(constB92)) | (~v1(constB92))),
% 16.41/11.68 inference(tautology,[status(thm)],[])).
% 16.41/11.68 tff(27287,plain,
% 16.41/11.68 ((~((~v39(constB92)) <=> v1(constB92))) | (~v39(constB92))),
% 16.41/11.68 inference(unit_resolution,[status(thm)],[27286, 693])).
% 16.41/11.68 tff(27288,plain,
% 16.41/11.68 (~v39(constB92)),
% 16.41/11.68 inference(unit_resolution,[status(thm)],[27287, 27285])).
% 16.41/11.68 tff(27289,plain,
% 16.41/11.68 (((~v39(constB92)) | (~v9(constB92))) | v39(constB92)),
% 16.41/11.68 inference(tautology,[status(thm)],[])).
% 16.41/11.68 tff(27290,plain,
% 16.41/11.68 ((~v39(constB92)) | (~v9(constB92))),
% 16.41/11.68 inference(unit_resolution,[status(thm)],[27289, 27288])).
% 16.41/11.68 tff(27291,plain,
% 16.41/11.68 ((~(v197(constB92) <=> (~((~v39(constB92)) | (~v9(constB92)))))) | (~v197(constB92)) | (~((~v39(constB92)) | (~v9(constB92))))),
% 16.41/11.68 inference(tautology,[status(thm)],[])).
% 16.41/11.68 tff(27292,plain,
% 16.41/11.68 ((~(v197(constB92) <=> (~((~v39(constB92)) | (~v9(constB92)))))) | (~v197(constB92))),
% 16.41/11.68 inference(unit_resolution,[status(thm)],[27291, 27290])).
% 16.41/11.68 tff(27293,plain,
% 16.41/11.68 (~v197(constB92)),
% 16.41/11.68 inference(unit_resolution,[status(thm)],[27292, 27283])).
% 16.41/11.68 tff(27294,plain,
% 16.41/11.68 (((~v197(constB92)) | (~v201(constB92))) | v197(constB92)),
% 16.41/11.68 inference(tautology,[status(thm)],[])).
% 16.41/11.68 tff(27295,plain,
% 16.41/11.68 ((~v197(constB92)) | (~v201(constB92))),
% 16.41/11.68 inference(unit_resolution,[status(thm)],[27294, 27293])).
% 16.41/11.68 tff(27296,plain,
% 16.41/11.68 ((~(v200(constB92) <=> (~((~v197(constB92)) | (~v201(constB92)))))) | (~v200(constB92)) | (~((~v197(constB92)) | (~v201(constB92))))),
% 16.41/11.68 inference(tautology,[status(thm)],[])).
% 16.41/11.68 tff(27297,plain,
% 16.41/11.68 ((~(v200(constB92) <=> (~((~v197(constB92)) | (~v201(constB92)))))) | (~v200(constB92))),
% 16.41/11.68 inference(unit_resolution,[status(thm)],[27296, 27295])).
% 16.41/11.68 tff(27298,plain,
% 16.41/11.68 (~v200(constB92)),
% 16.41/11.68 inference(unit_resolution,[status(thm)],[27297, 27281])).
% 16.41/11.68 tff(27299,plain,
% 16.41/11.68 (((~v199(constB92)) | (~v200(constB92))) | v200(constB92)),
% 16.41/11.68 inference(tautology,[status(thm)],[])).
% 16.41/11.68 tff(27300,plain,
% 16.41/11.68 ((~v199(constB92)) | (~v200(constB92))),
% 16.41/11.68 inference(unit_resolution,[status(thm)],[27299, 27298])).
% 16.41/11.68 tff(27301,plain,
% 16.41/11.68 ((~(v198(constB92) <=> (~((~v199(constB92)) | (~v200(constB92)))))) | (~v198(constB92)) | (~((~v199(constB92)) | (~v200(constB92))))),
% 16.41/11.68 inference(tautology,[status(thm)],[])).
% 16.41/11.68 tff(27302,plain,
% 16.41/11.68 (~v198(constB92)),
% 16.41/11.68 inference(unit_resolution,[status(thm)],[27301, 27300, 27279])).
% 16.41/11.68 tff(27303,plain,
% 16.41/11.68 (((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB92) <=> (~((~v157(constB92)) | (~v195(constB92)))))) <=> ((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB92) <=> (~((~v157(constB92)) | (~v195(constB92))))))),
% 16.41/11.68 inference(rewrite,[status(thm)],[])).
% 16.41/11.68 tff(27304,plain,
% 16.41/11.68 ((v194(constB92) <=> (~((~v195(constB92)) | (~v157(constB92))))) <=> (v194(constB92) <=> (~((~v157(constB92)) | (~v195(constB92)))))),
% 16.41/11.68 inference(rewrite,[status(thm)],[])).
% 16.41/11.68 tff(27305,plain,
% 16.41/11.68 (((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB92) <=> (~((~v195(constB92)) | (~v157(constB92)))))) <=> ((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB92) <=> (~((~v157(constB92)) | (~v195(constB92))))))),
% 16.41/11.68 inference(monotonicity,[status(thm)],[27304])).
% 16.41/11.68 tff(27306,plain,
% 16.41/11.68 (((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB92) <=> (~((~v195(constB92)) | (~v157(constB92)))))) <=> ((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB92) <=> (~((~v157(constB92)) | (~v195(constB92))))))),
% 16.41/11.68 inference(transitivity,[status(thm)],[27305, 27303])).
% 16.41/11.68 tff(27307,plain,
% 16.41/11.68 ((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB92) <=> (~((~v195(constB92)) | (~v157(constB92)))))),
% 16.41/11.68 inference(quant_inst,[status(thm)],[])).
% 16.41/11.68 tff(27308,plain,
% 16.41/11.68 ((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB92) <=> (~((~v157(constB92)) | (~v195(constB92)))))),
% 16.41/11.68 inference(modus_ponens,[status(thm)],[27307, 27306])).
% 16.41/11.68 tff(27309,plain,
% 16.41/11.68 (v194(constB92) <=> (~((~v157(constB92)) | (~v195(constB92))))),
% 16.41/11.68 inference(unit_resolution,[status(thm)],[27308, 161])).
% 16.41/11.68 tff(27310,plain,
% 16.41/11.68 ((~![VarNext: $i] : (v157(VarNext) <=> v193(VarNext))) | (v157(constB92) <=> v193(constB92))),
% 16.41/11.68 inference(quant_inst,[status(thm)],[])).
% 16.41/11.68 tff(27311,plain,
% 16.41/11.68 (v157(constB92) <=> v193(constB92)),
% 16.41/11.68 inference(unit_resolution,[status(thm)],[27310, 13])).
% 16.41/11.68 tff(27312,plain,
% 16.41/11.68 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v193(VarNext) <=> v191(VarCurr)))) | ((~nextState(constB91, constB92)) | (v193(constB92) <=> v191(constB91)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v193(VarNext) <=> v191(VarCurr)))) | (~nextState(constB91, constB92)) | (v193(constB92) <=> v191(constB91)))),
% 16.41/11.68 inference(rewrite,[status(thm)],[])).
% 16.41/11.68 tff(27313,plain,
% 16.41/11.68 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v193(VarNext) <=> v191(VarCurr)))) | ((~nextState(constB91, constB92)) | (v193(constB92) <=> v191(constB91)))),
% 16.41/11.68 inference(quant_inst,[status(thm)],[])).
% 16.41/11.68 tff(27314,plain,
% 16.41/11.68 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v193(VarNext) <=> v191(VarCurr)))) | (~nextState(constB91, constB92)) | (v193(constB92) <=> v191(constB91))),
% 16.41/11.68 inference(modus_ponens,[status(thm)],[27313, 27312])).
% 16.41/11.68 tff(27315,plain,
% 16.41/11.68 (v193(constB92) <=> v191(constB91)),
% 16.41/11.68 inference(unit_resolution,[status(thm)],[27314, 663, 70])).
% 16.41/11.68 tff(27316,plain,
% 16.41/11.68 ((~![VarCurr: $i] : (v191(VarCurr) <=> (v194(VarCurr) | v198(VarCurr)))) | (v191(constB91) <=> (v194(constB91) | v198(constB91)))),
% 16.41/11.68 inference(quant_inst,[status(thm)],[])).
% 16.41/11.68 tff(27317,plain,
% 16.41/11.68 (v191(constB91) <=> (v194(constB91) | v198(constB91))),
% 16.41/11.68 inference(unit_resolution,[status(thm)],[27316, 84])).
% 16.41/11.68 tff(27318,plain,
% 16.41/11.68 (((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB91) <=> (~((~v157(constB91)) | (~v195(constB91)))))) <=> ((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB91) <=> (~((~v157(constB91)) | (~v195(constB91))))))),
% 16.41/11.68 inference(rewrite,[status(thm)],[])).
% 16.41/11.68 tff(27319,plain,
% 16.41/11.68 ((v194(constB91) <=> (~((~v195(constB91)) | (~v157(constB91))))) <=> (v194(constB91) <=> (~((~v157(constB91)) | (~v195(constB91)))))),
% 16.41/11.68 inference(rewrite,[status(thm)],[])).
% 16.41/11.68 tff(27320,plain,
% 16.41/11.68 (((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB91) <=> (~((~v195(constB91)) | (~v157(constB91)))))) <=> ((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB91) <=> (~((~v157(constB91)) | (~v195(constB91))))))),
% 16.41/11.68 inference(monotonicity,[status(thm)],[27319])).
% 16.41/11.68 tff(27321,plain,
% 16.41/11.68 (((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB91) <=> (~((~v195(constB91)) | (~v157(constB91)))))) <=> ((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB91) <=> (~((~v157(constB91)) | (~v195(constB91))))))),
% 16.41/11.68 inference(transitivity,[status(thm)],[27320, 27318])).
% 16.41/11.68 tff(27322,plain,
% 16.41/11.68 ((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB91) <=> (~((~v195(constB91)) | (~v157(constB91)))))),
% 16.41/11.68 inference(quant_inst,[status(thm)],[])).
% 16.41/11.68 tff(27323,plain,
% 16.41/11.68 ((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB91) <=> (~((~v157(constB91)) | (~v195(constB91)))))),
% 16.41/11.68 inference(modus_ponens,[status(thm)],[27322, 27321])).
% 16.41/11.68 tff(27324,plain,
% 16.41/11.68 (v194(constB91) <=> (~((~v157(constB91)) | (~v195(constB91))))),
% 16.41/11.68 inference(unit_resolution,[status(thm)],[27323, 161])).
% 16.41/11.68 tff(27325,plain,
% 16.41/11.68 ((~![VarCurr: $i] : ((~v195(VarCurr)) <=> v196(VarCurr))) | ((~v195(constB91)) <=> v196(constB91))),
% 16.41/11.68 inference(quant_inst,[status(thm)],[])).
% 16.41/11.68 tff(27326,plain,
% 16.41/11.68 ((~v195(constB91)) <=> v196(constB91)),
% 16.41/11.68 inference(unit_resolution,[status(thm)],[27325, 193])).
% 16.41/11.68 tff(27327,plain,
% 16.41/11.68 ((~![VarCurr: $i] : (v196(VarCurr) <=> (v197(VarCurr) | v26(VarCurr)))) | (v196(constB91) <=> (v197(constB91) | v26(constB91)))),
% 16.41/11.68 inference(quant_inst,[status(thm)],[])).
% 16.41/11.68 tff(27328,plain,
% 16.41/11.68 (v196(constB91) <=> (v197(constB91) | v26(constB91))),
% 16.41/11.68 inference(unit_resolution,[status(thm)],[27327, 202])).
% 16.41/11.68 tff(27329,plain,
% 16.41/11.68 ((~![VarCurr: $i] : (v197(VarCurr) <=> (~((~v39(VarCurr)) | (~v9(VarCurr)))))) | (v197(constB91) <=> (~((~v39(constB91)) | (~v9(constB91)))))),
% 16.41/11.68 inference(quant_inst,[status(thm)],[])).
% 16.41/11.68 tff(27330,plain,
% 16.41/11.68 (v197(constB91) <=> (~((~v39(constB91)) | (~v9(constB91))))),
% 16.41/11.68 inference(unit_resolution,[status(thm)],[27329, 120])).
% 16.41/11.68 tff(27331,plain,
% 16.41/11.68 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | ((~nextState(constB91, constB92)) | (v13(constB92) <=> v9(constB91)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | (~nextState(constB91, constB92)) | (v13(constB92) <=> v9(constB91)))),
% 16.41/11.68 inference(rewrite,[status(thm)],[])).
% 16.41/11.68 tff(27332,plain,
% 16.41/11.68 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | ((~nextState(constB91, constB92)) | (v13(constB92) <=> v9(constB91)))),
% 16.41/11.68 inference(quant_inst,[status(thm)],[])).
% 16.41/11.68 tff(27333,plain,
% 16.41/11.68 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | (~nextState(constB91, constB92)) | (v13(constB92) <=> v9(constB91))),
% 16.41/11.68 inference(modus_ponens,[status(thm)],[27332, 27331])).
% 16.41/11.68 tff(27334,plain,
% 16.41/11.68 (v13(constB92) <=> v9(constB91)),
% 16.41/11.68 inference(unit_resolution,[status(thm)],[27333, 663, 216])).
% 16.41/11.68 tff(27335,plain,
% 16.41/11.68 ((~![VarNext: $i] : (v6(VarNext) <=> v13(VarNext))) | (v6(constB92) <=> v13(constB92))),
% 16.41/11.68 inference(quant_inst,[status(thm)],[])).
% 16.41/11.68 tff(27336,plain,
% 16.41/11.68 (v6(constB92) <=> v13(constB92)),
% 16.41/11.68 inference(unit_resolution,[status(thm)],[27335, 230])).
% 16.41/11.68 tff(27337,plain,
% 16.41/11.68 ((~![VarCurr: $i] : ((~v21(VarCurr)) <=> v6(VarCurr))) | ((~v21(constB92)) <=> v6(constB92))),
% 16.41/11.68 inference(quant_inst,[status(thm)],[])).
% 16.41/11.68 tff(27338,plain,
% 16.41/11.68 ((~v21(constB92)) <=> v6(constB92)),
% 16.41/11.68 inference(unit_resolution,[status(thm)],[27337, 239])).
% 16.41/11.68 tff(27339,plain,
% 16.41/11.68 ((~![VarCurr: $i] : (v19(VarCurr) <=> (v20(VarCurr) | v21(VarCurr)))) | (v19(constB92) <=> (v20(constB92) | v21(constB92)))),
% 16.41/11.68 inference(quant_inst,[status(thm)],[])).
% 16.41/11.68 tff(27340,plain,
% 16.48/11.68 (v19(constB92) <=> (v20(constB92) | v21(constB92))),
% 16.48/11.68 inference(unit_resolution,[status(thm)],[27339, 248])).
% 16.48/11.68 tff(27341,plain,
% 16.48/11.68 ((~![VarCurr: $i] : (v18(VarCurr) <=> (~((~v19(VarCurr)) | (~v22(VarCurr)))))) | (v18(constB92) <=> (~((~v19(constB92)) | (~v22(constB92)))))),
% 16.48/11.68 inference(quant_inst,[status(thm)],[])).
% 16.48/11.68 tff(27342,plain,
% 16.48/11.68 (v18(constB92) <=> (~((~v19(constB92)) | (~v22(constB92))))),
% 16.48/11.68 inference(unit_resolution,[status(thm)],[27341, 260])).
% 16.48/11.68 tff(27343,plain,
% 16.48/11.68 ((~![VarCurr: $i] : ((~v4(VarCurr)) <=> v18(VarCurr))) | ((~v4(constB92)) <=> v18(constB92))),
% 16.48/11.68 inference(quant_inst,[status(thm)],[])).
% 16.48/11.68 tff(27344,plain,
% 16.48/11.68 ((~v4(constB92)) <=> v18(constB92)),
% 16.48/11.68 inference(unit_resolution,[status(thm)],[27343, 269])).
% 16.48/11.68 tff(27345,plain,
% 16.48/11.68 ((~![VarCurr: $i] : v4(VarCurr)) | v4(constB92)),
% 16.48/11.68 inference(quant_inst,[status(thm)],[])).
% 16.48/11.68 tff(27346,plain,
% 16.48/11.68 (v4(constB92)),
% 16.48/11.68 inference(unit_resolution,[status(thm)],[27345, 278])).
% 16.48/11.68 tff(27347,plain,
% 16.48/11.68 ((~((~v4(constB92)) <=> v18(constB92))) | (~v4(constB92)) | (~v18(constB92))),
% 16.48/11.68 inference(tautology,[status(thm)],[])).
% 16.48/11.68 tff(27348,plain,
% 16.48/11.68 (~v18(constB92)),
% 16.48/11.68 inference(unit_resolution,[status(thm)],[27347, 27346, 27344])).
% 16.48/11.68 tff(27349,plain,
% 16.48/11.68 ((~(v18(constB92) <=> (~((~v19(constB92)) | (~v22(constB92)))))) | v18(constB92) | ((~v19(constB92)) | (~v22(constB92)))),
% 16.48/11.68 inference(tautology,[status(thm)],[])).
% 16.48/11.68 tff(27350,plain,
% 16.48/11.68 ((~v19(constB92)) | (~v22(constB92))),
% 16.48/11.68 inference(unit_resolution,[status(thm)],[27349, 27348, 27342])).
% 16.48/11.68 tff(27351,plain,
% 16.48/11.68 ((~![VarCurr: $i] : (v22(VarCurr) <=> (v1(VarCurr) | v6(VarCurr)))) | (v22(constB92) <=> (v1(constB92) | v6(constB92)))),
% 16.48/11.68 inference(quant_inst,[status(thm)],[])).
% 16.48/11.68 tff(27352,plain,
% 16.48/11.68 (v22(constB92) <=> (v1(constB92) | v6(constB92))),
% 16.48/11.68 inference(unit_resolution,[status(thm)],[27351, 291])).
% 16.48/11.68 tff(27353,plain,
% 16.48/11.68 ((v1(constB92) | v6(constB92)) | (~v1(constB92))),
% 16.48/11.68 inference(tautology,[status(thm)],[])).
% 16.48/11.68 tff(27354,plain,
% 16.48/11.68 (v1(constB92) | v6(constB92)),
% 16.48/11.68 inference(unit_resolution,[status(thm)],[27353, 693])).
% 16.48/11.68 tff(27355,plain,
% 16.48/11.68 ((~(v22(constB92) <=> (v1(constB92) | v6(constB92)))) | v22(constB92) | (~(v1(constB92) | v6(constB92)))),
% 16.48/11.68 inference(tautology,[status(thm)],[])).
% 16.48/11.68 tff(27356,plain,
% 16.48/11.68 ((~(v22(constB92) <=> (v1(constB92) | v6(constB92)))) | v22(constB92)),
% 16.48/11.68 inference(unit_resolution,[status(thm)],[27355, 27354])).
% 16.48/11.68 tff(27357,plain,
% 16.48/11.68 (v22(constB92)),
% 16.48/11.68 inference(unit_resolution,[status(thm)],[27356, 27352])).
% 16.48/11.68 tff(27358,plain,
% 16.48/11.68 ((~((~v19(constB92)) | (~v22(constB92)))) | (~v19(constB92)) | (~v22(constB92))),
% 16.48/11.68 inference(tautology,[status(thm)],[])).
% 16.48/11.68 tff(27359,plain,
% 16.48/11.68 ((~((~v19(constB92)) | (~v22(constB92)))) | (~v19(constB92))),
% 16.48/11.68 inference(unit_resolution,[status(thm)],[27358, 27357])).
% 16.48/11.68 tff(27360,plain,
% 16.48/11.68 (~v19(constB92)),
% 16.48/11.68 inference(unit_resolution,[status(thm)],[27359, 27350])).
% 16.48/11.68 tff(27361,plain,
% 16.48/11.68 ((~(v19(constB92) <=> (v20(constB92) | v21(constB92)))) | v19(constB92) | (~(v20(constB92) | v21(constB92)))),
% 16.48/11.68 inference(tautology,[status(thm)],[])).
% 16.48/11.68 tff(27362,plain,
% 16.48/11.68 (~(v20(constB92) | v21(constB92))),
% 16.48/11.68 inference(unit_resolution,[status(thm)],[27361, 27360, 27340])).
% 16.48/11.68 tff(27363,plain,
% 16.48/11.68 ((v20(constB92) | v21(constB92)) | (~v21(constB92))),
% 16.48/11.68 inference(tautology,[status(thm)],[])).
% 16.48/11.68 tff(27364,plain,
% 16.48/11.68 (~v21(constB92)),
% 16.48/11.68 inference(unit_resolution,[status(thm)],[27363, 27362])).
% 16.48/11.68 tff(27365,plain,
% 16.48/11.68 ((~((~v21(constB92)) <=> v6(constB92))) | v21(constB92) | v6(constB92)),
% 16.48/11.68 inference(tautology,[status(thm)],[])).
% 16.48/11.68 tff(27366,plain,
% 16.48/11.68 (v6(constB92)),
% 16.48/11.68 inference(unit_resolution,[status(thm)],[27365, 27364, 27338])).
% 16.48/11.68 tff(27367,plain,
% 16.48/11.68 ((~(v6(constB92) <=> v13(constB92))) | (~v6(constB92)) | v13(constB92)),
% 16.48/11.68 inference(tautology,[status(thm)],[])).
% 16.48/11.68 tff(27368,plain,
% 16.48/11.68 (v13(constB92)),
% 16.48/11.68 inference(unit_resolution,[status(thm)],[27367, 27366, 27336])).
% 16.48/11.68 tff(27369,plain,
% 16.48/11.68 ((~(v13(constB92) <=> v9(constB91))) | (~v13(constB92)) | v9(constB91)),
% 16.48/11.68 inference(tautology,[status(thm)],[])).
% 16.48/11.68 tff(27370,plain,
% 16.48/11.68 (v9(constB91)),
% 16.48/11.68 inference(unit_resolution,[status(thm)],[27369, 27368, 27334])).
% 16.48/11.68 tff(27371,plain,
% 16.48/11.68 ((~![VarCurr: $i] : ((~v39(VarCurr)) <=> v1(VarCurr))) | ((~v39(constB91)) <=> v1(constB91))),
% 16.48/11.68 inference(quant_inst,[status(thm)],[])).
% 16.48/11.68 tff(27372,plain,
% 16.48/11.68 ((~v39(constB91)) <=> v1(constB91)),
% 16.48/11.68 inference(unit_resolution,[status(thm)],[27371, 129])).
% 16.48/11.68 tff(27373,plain,
% 16.48/11.68 ((~((~v39(constB91)) <=> v1(constB91))) | v39(constB91) | v1(constB91)),
% 16.48/11.68 inference(tautology,[status(thm)],[])).
% 16.48/11.68 tff(27374,plain,
% 16.48/11.68 ((~((~v39(constB91)) <=> v1(constB91))) | v39(constB91)),
% 16.48/11.68 inference(unit_resolution,[status(thm)],[27373, 685])).
% 16.48/11.68 tff(27375,plain,
% 16.48/11.68 (v39(constB91)),
% 16.48/11.68 inference(unit_resolution,[status(thm)],[27374, 27372])).
% 16.48/11.68 tff(27376,plain,
% 16.48/11.68 ((~((~v39(constB91)) | (~v9(constB91)))) | (~v39(constB91)) | (~v9(constB91))),
% 16.48/11.68 inference(tautology,[status(thm)],[])).
% 16.48/11.68 tff(27377,plain,
% 16.48/11.68 ((~((~v39(constB91)) | (~v9(constB91)))) | (~v9(constB91))),
% 16.48/11.68 inference(unit_resolution,[status(thm)],[27376, 27375])).
% 16.48/11.68 tff(27378,plain,
% 16.48/11.68 (~((~v39(constB91)) | (~v9(constB91)))),
% 16.48/11.68 inference(unit_resolution,[status(thm)],[27377, 27370])).
% 16.48/11.68 tff(27379,plain,
% 16.48/11.68 ((~(v197(constB91) <=> (~((~v39(constB91)) | (~v9(constB91)))))) | v197(constB91) | ((~v39(constB91)) | (~v9(constB91)))),
% 16.48/11.68 inference(tautology,[status(thm)],[])).
% 16.48/11.68 tff(27380,plain,
% 16.48/11.68 (v197(constB91)),
% 16.48/11.68 inference(unit_resolution,[status(thm)],[27379, 27378, 27330])).
% 16.48/11.68 tff(27381,plain,
% 16.48/11.68 ((v197(constB91) | v26(constB91)) | (~v197(constB91))),
% 16.48/11.68 inference(tautology,[status(thm)],[])).
% 16.48/11.68 tff(27382,plain,
% 16.48/11.68 (v197(constB91) | v26(constB91)),
% 16.48/11.68 inference(unit_resolution,[status(thm)],[27381, 27380])).
% 16.48/11.68 tff(27383,plain,
% 16.48/11.68 ((~(v196(constB91) <=> (v197(constB91) | v26(constB91)))) | v196(constB91) | (~(v197(constB91) | v26(constB91)))),
% 16.48/11.68 inference(tautology,[status(thm)],[])).
% 16.48/11.68 tff(27384,plain,
% 16.48/11.68 (v196(constB91)),
% 16.48/11.68 inference(unit_resolution,[status(thm)],[27383, 27382, 27328])).
% 16.48/11.68 tff(27385,plain,
% 16.48/11.68 ((~((~v195(constB91)) <=> v196(constB91))) | (~v195(constB91)) | (~v196(constB91))),
% 16.48/11.68 inference(tautology,[status(thm)],[])).
% 16.48/11.68 tff(27386,plain,
% 16.48/11.68 (~v195(constB91)),
% 16.48/11.68 inference(unit_resolution,[status(thm)],[27385, 27384, 27326])).
% 16.48/11.68 tff(27387,plain,
% 16.48/11.68 (((~v157(constB91)) | (~v195(constB91))) | v195(constB91)),
% 16.48/11.68 inference(tautology,[status(thm)],[])).
% 16.48/11.68 tff(27388,plain,
% 16.48/11.68 ((~v157(constB91)) | (~v195(constB91))),
% 16.48/11.68 inference(unit_resolution,[status(thm)],[27387, 27386])).
% 16.48/11.68 tff(27389,plain,
% 16.48/11.68 ((~(v194(constB91) <=> (~((~v157(constB91)) | (~v195(constB91)))))) | (~v194(constB91)) | (~((~v157(constB91)) | (~v195(constB91))))),
% 16.48/11.68 inference(tautology,[status(thm)],[])).
% 16.48/11.68 tff(27390,plain,
% 16.48/11.68 (~v194(constB91)),
% 16.48/11.68 inference(unit_resolution,[status(thm)],[27389, 27388, 27324])).
% 16.48/11.68 tff(27391,plain,
% 16.48/11.68 ((~![VarCurr: $i] : (v198(VarCurr) <=> (~((~v199(VarCurr)) | (~v200(VarCurr)))))) | (v198(constB91) <=> (~((~v199(constB91)) | (~v200(constB91)))))),
% 16.48/11.68 inference(quant_inst,[status(thm)],[])).
% 16.48/11.68 tff(27392,plain,
% 16.48/11.68 (v198(constB91) <=> (~((~v199(constB91)) | (~v200(constB91))))),
% 16.48/11.68 inference(unit_resolution,[status(thm)],[27391, 96])).
% 16.48/11.68 tff(27393,plain,
% 16.48/11.68 ((~![VarCurr: $i] : (v200(VarCurr) <=> (~((~v197(VarCurr)) | (~v201(VarCurr)))))) | (v200(constB91) <=> (~((~v197(constB91)) | (~v201(constB91)))))),
% 16.48/11.68 inference(quant_inst,[status(thm)],[])).
% 16.48/11.68 tff(27394,plain,
% 16.48/11.68 (v200(constB91) <=> (~((~v197(constB91)) | (~v201(constB91))))),
% 16.48/11.68 inference(unit_resolution,[status(thm)],[27393, 108])).
% 16.48/11.68 tff(27395,plain,
% 16.48/11.68 ((~![VarCurr: $i] : (v201(VarCurr) <=> (~((~v159(VarCurr)) | (~v161(VarCurr)))))) | (v201(constB91) <=> (~((~v159(constB91)) | (~v161(constB91)))))),
% 16.48/11.68 inference(quant_inst,[status(thm)],[])).
% 16.48/11.68 tff(27396,plain,
% 16.48/11.68 (v201(constB91) <=> (~((~v159(constB91)) | (~v161(constB91))))),
% 16.48/11.68 inference(unit_resolution,[status(thm)],[27395, 348])).
% 16.48/11.68 tff(27397,plain,
% 16.48/11.68 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v179(VarNext) <=> v180(VarNext)))) | ((~nextState(constB90, constB91)) | (v179(constB91) <=> v180(constB91)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v179(VarNext) <=> v180(VarNext)))) | (~nextState(constB90, constB91)) | (v179(constB91) <=> v180(constB91)))),
% 16.48/11.69 inference(rewrite,[status(thm)],[])).
% 16.48/11.69 tff(27398,plain,
% 16.48/11.69 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v179(VarNext) <=> v180(VarNext)))) | ((~nextState(constB90, constB91)) | (v179(constB91) <=> v180(constB91)))),
% 16.48/11.69 inference(quant_inst,[status(thm)],[])).
% 16.48/11.69 tff(27399,plain,
% 16.48/11.69 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v179(VarNext) <=> v180(VarNext)))) | (~nextState(constB90, constB91)) | (v179(constB91) <=> v180(constB91))),
% 16.48/11.69 inference(modus_ponens,[status(thm)],[27398, 27397])).
% 16.48/11.69 tff(27400,plain,
% 16.48/11.69 (v179(constB91) <=> v180(constB91)),
% 16.48/11.69 inference(unit_resolution,[status(thm)],[27399, 744, 13536])).
% 16.48/11.69 tff(27401,plain,
% 16.48/11.69 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> (~((~v181(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB90, constB91)) | (v180(constB91) <=> (~((~v1(constB91)) | (~v181(constB91))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> (~((~v181(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB90, constB91)) | (v180(constB91) <=> (~((~v1(constB91)) | (~v181(constB91))))))),
% 16.48/11.69 inference(rewrite,[status(thm)],[])).
% 16.48/11.69 tff(27402,plain,
% 16.48/11.69 (((~nextState(constB90, constB91)) | (v180(constB91) <=> (~((~v181(constB91)) | (~v1(constB91)))))) <=> ((~nextState(constB90, constB91)) | (v180(constB91) <=> (~((~v1(constB91)) | (~v181(constB91))))))),
% 16.48/11.69 inference(rewrite,[status(thm)],[])).
% 16.48/11.69 tff(27403,plain,
% 16.48/11.69 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> (~((~v181(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB90, constB91)) | (v180(constB91) <=> (~((~v181(constB91)) | (~v1(constB91))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> (~((~v181(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB90, constB91)) | (v180(constB91) <=> (~((~v1(constB91)) | (~v181(constB91)))))))),
% 16.48/11.69 inference(monotonicity,[status(thm)],[27402])).
% 16.48/11.69 tff(27404,plain,
% 16.48/11.69 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> (~((~v181(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB90, constB91)) | (v180(constB91) <=> (~((~v181(constB91)) | (~v1(constB91))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> (~((~v181(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB90, constB91)) | (v180(constB91) <=> (~((~v1(constB91)) | (~v181(constB91))))))),
% 16.48/11.69 inference(transitivity,[status(thm)],[27403, 27401])).
% 16.48/11.69 tff(27405,plain,
% 16.48/11.69 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> (~((~v181(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB90, constB91)) | (v180(constB91) <=> (~((~v181(constB91)) | (~v1(constB91))))))),
% 16.48/11.69 inference(quant_inst,[status(thm)],[])).
% 16.48/11.69 tff(27406,plain,
% 16.48/11.69 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> (~((~v181(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB90, constB91)) | (v180(constB91) <=> (~((~v1(constB91)) | (~v181(constB91)))))),
% 16.48/11.69 inference(modus_ponens,[status(thm)],[27405, 27404])).
% 16.48/11.69 tff(27407,plain,
% 16.48/11.69 (v180(constB91) <=> (~((~v1(constB91)) | (~v181(constB91))))),
% 16.48/11.69 inference(unit_resolution,[status(thm)],[27406, 744, 13556])).
% 16.48/11.69 tff(27408,plain,
% 16.48/11.69 (((~v1(constB91)) | (~v181(constB91))) | v1(constB91)),
% 16.48/11.69 inference(tautology,[status(thm)],[])).
% 16.48/11.69 tff(27409,plain,
% 16.48/11.69 ((~v1(constB91)) | (~v181(constB91))),
% 16.48/11.69 inference(unit_resolution,[status(thm)],[27408, 685])).
% 16.48/11.69 tff(27410,plain,
% 16.48/11.69 ((~(v180(constB91) <=> (~((~v1(constB91)) | (~v181(constB91)))))) | (~v180(constB91)) | (~((~v1(constB91)) | (~v181(constB91))))),
% 16.48/11.69 inference(tautology,[status(thm)],[])).
% 16.48/11.69 tff(27411,plain,
% 16.48/11.69 ((~(v180(constB91) <=> (~((~v1(constB91)) | (~v181(constB91)))))) | (~v180(constB91))),
% 16.48/11.69 inference(unit_resolution,[status(thm)],[27410, 27409])).
% 16.48/11.69 tff(27412,plain,
% 16.48/11.69 (~v180(constB91)),
% 16.48/11.69 inference(unit_resolution,[status(thm)],[27411, 27407])).
% 16.48/11.69 tff(27413,plain,
% 16.48/11.69 ((~(v179(constB91) <=> v180(constB91))) | (~v179(constB91)) | v180(constB91)),
% 16.48/11.69 inference(tautology,[status(thm)],[])).
% 16.48/11.69 tff(27414,plain,
% 16.48/11.69 (~v179(constB91)),
% 16.48/11.69 inference(unit_resolution,[status(thm)],[27413, 27412, 27400])).
% 16.48/11.69 tff(27415,plain,
% 16.48/11.69 (((~![VarCurr: $i, VarNext: $i] : ((v159(VarNext) <=> v159(VarCurr)) | v179(VarNext) | (~nextState(VarCurr, VarNext)))) | ((~nextState(constB90, constB91)) | v179(constB91) | (v159(constB91) <=> v159(constB90)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((v159(VarNext) <=> v159(VarCurr)) | v179(VarNext) | (~nextState(VarCurr, VarNext)))) | (~nextState(constB90, constB91)) | v179(constB91) | (v159(constB91) <=> v159(constB90)))),
% 16.48/11.69 inference(rewrite,[status(thm)],[])).
% 16.48/11.69 tff(27416,plain,
% 16.48/11.69 (((v159(constB91) <=> v159(constB90)) | v179(constB91) | (~nextState(constB90, constB91))) <=> ((~nextState(constB90, constB91)) | v179(constB91) | (v159(constB91) <=> v159(constB90)))),
% 16.48/11.69 inference(rewrite,[status(thm)],[])).
% 16.48/11.69 tff(27417,plain,
% 16.48/11.69 (((~![VarCurr: $i, VarNext: $i] : ((v159(VarNext) <=> v159(VarCurr)) | v179(VarNext) | (~nextState(VarCurr, VarNext)))) | ((v159(constB91) <=> v159(constB90)) | v179(constB91) | (~nextState(constB90, constB91)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((v159(VarNext) <=> v159(VarCurr)) | v179(VarNext) | (~nextState(VarCurr, VarNext)))) | ((~nextState(constB90, constB91)) | v179(constB91) | (v159(constB91) <=> v159(constB90))))),
% 16.48/11.69 inference(monotonicity,[status(thm)],[27416])).
% 16.48/11.69 tff(27418,plain,
% 16.48/11.69 (((~![VarCurr: $i, VarNext: $i] : ((v159(VarNext) <=> v159(VarCurr)) | v179(VarNext) | (~nextState(VarCurr, VarNext)))) | ((v159(constB91) <=> v159(constB90)) | v179(constB91) | (~nextState(constB90, constB91)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((v159(VarNext) <=> v159(VarCurr)) | v179(VarNext) | (~nextState(VarCurr, VarNext)))) | (~nextState(constB90, constB91)) | v179(constB91) | (v159(constB91) <=> v159(constB90)))),
% 16.48/11.69 inference(transitivity,[status(thm)],[27417, 27415])).
% 16.48/11.69 tff(27419,plain,
% 16.48/11.69 ((~![VarCurr: $i, VarNext: $i] : ((v159(VarNext) <=> v159(VarCurr)) | v179(VarNext) | (~nextState(VarCurr, VarNext)))) | ((v159(constB91) <=> v159(constB90)) | v179(constB91) | (~nextState(constB90, constB91)))),
% 16.48/11.69 inference(quant_inst,[status(thm)],[])).
% 16.48/11.69 tff(27420,plain,
% 16.48/11.69 ((~![VarCurr: $i, VarNext: $i] : ((v159(VarNext) <=> v159(VarCurr)) | v179(VarNext) | (~nextState(VarCurr, VarNext)))) | (~nextState(constB90, constB91)) | v179(constB91) | (v159(constB91) <=> v159(constB90))),
% 16.48/11.69 inference(modus_ponens,[status(thm)],[27419, 27418])).
% 16.48/11.69 tff(27421,plain,
% 16.48/11.69 (v179(constB91) | (v159(constB91) <=> v159(constB90))),
% 16.48/11.69 inference(unit_resolution,[status(thm)],[27420, 744, 13580])).
% 16.48/11.69 tff(27422,plain,
% 16.48/11.69 (v159(constB91) <=> v159(constB90)),
% 16.48/11.69 inference(unit_resolution,[status(thm)],[27421, 27414])).
% 16.48/11.69 tff(27423,plain,
% 16.48/11.69 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v179(VarNext) <=> v180(VarNext)))) | ((~nextState(constB89, constB90)) | (v179(constB90) <=> v180(constB90)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v179(VarNext) <=> v180(VarNext)))) | (~nextState(constB89, constB90)) | (v179(constB90) <=> v180(constB90)))),
% 16.48/11.69 inference(rewrite,[status(thm)],[])).
% 16.48/11.69 tff(27424,plain,
% 16.48/11.69 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v179(VarNext) <=> v180(VarNext)))) | ((~nextState(constB89, constB90)) | (v179(constB90) <=> v180(constB90)))),
% 16.48/11.69 inference(quant_inst,[status(thm)],[])).
% 16.48/11.69 tff(27425,plain,
% 16.48/11.69 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v179(VarNext) <=> v180(VarNext)))) | (~nextState(constB89, constB90)) | (v179(constB90) <=> v180(constB90))),
% 16.48/11.69 inference(modus_ponens,[status(thm)],[27424, 27423])).
% 16.48/11.69 tff(27426,plain,
% 16.48/11.69 (v179(constB90) <=> v180(constB90)),
% 16.48/11.69 inference(unit_resolution,[status(thm)],[27425, 776, 13536])).
% 16.48/11.69 tff(27427,plain,
% 16.48/11.69 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> (~((~v181(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB89, constB90)) | (v180(constB90) <=> (~((~v1(constB90)) | (~v181(constB90))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> (~((~v181(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB89, constB90)) | (v180(constB90) <=> (~((~v1(constB90)) | (~v181(constB90))))))),
% 16.48/11.69 inference(rewrite,[status(thm)],[])).
% 16.48/11.69 tff(27428,plain,
% 16.48/11.69 (((~nextState(constB89, constB90)) | (v180(constB90) <=> (~((~v181(constB90)) | (~v1(constB90)))))) <=> ((~nextState(constB89, constB90)) | (v180(constB90) <=> (~((~v1(constB90)) | (~v181(constB90))))))),
% 16.48/11.69 inference(rewrite,[status(thm)],[])).
% 16.48/11.69 tff(27429,plain,
% 16.48/11.69 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> (~((~v181(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB89, constB90)) | (v180(constB90) <=> (~((~v181(constB90)) | (~v1(constB90))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> (~((~v181(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB89, constB90)) | (v180(constB90) <=> (~((~v1(constB90)) | (~v181(constB90)))))))),
% 16.48/11.69 inference(monotonicity,[status(thm)],[27428])).
% 16.48/11.69 tff(27430,plain,
% 16.48/11.69 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> (~((~v181(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB89, constB90)) | (v180(constB90) <=> (~((~v181(constB90)) | (~v1(constB90))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> (~((~v181(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB89, constB90)) | (v180(constB90) <=> (~((~v1(constB90)) | (~v181(constB90))))))),
% 16.48/11.69 inference(transitivity,[status(thm)],[27429, 27427])).
% 16.48/11.69 tff(27431,plain,
% 16.48/11.69 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> (~((~v181(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB89, constB90)) | (v180(constB90) <=> (~((~v181(constB90)) | (~v1(constB90))))))),
% 16.48/11.69 inference(quant_inst,[status(thm)],[])).
% 16.48/11.69 tff(27432,plain,
% 16.48/11.69 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> (~((~v181(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB89, constB90)) | (v180(constB90) <=> (~((~v1(constB90)) | (~v181(constB90)))))),
% 16.48/11.69 inference(modus_ponens,[status(thm)],[27431, 27430])).
% 16.48/11.69 tff(27433,plain,
% 16.48/11.69 (v180(constB90) <=> (~((~v1(constB90)) | (~v181(constB90))))),
% 16.48/11.69 inference(unit_resolution,[status(thm)],[27432, 776, 13556])).
% 16.48/11.69 tff(27434,plain,
% 16.48/11.69 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v181(VarNext)) <=> v104(VarNext)))) | ((~nextState(constB89, constB90)) | ((~v181(constB90)) <=> v104(constB90)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v181(VarNext)) <=> v104(VarNext)))) | (~nextState(constB89, constB90)) | ((~v181(constB90)) <=> v104(constB90)))),
% 16.48/11.69 inference(rewrite,[status(thm)],[])).
% 16.48/11.69 tff(27435,plain,
% 16.48/11.69 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v181(VarNext)) <=> v104(VarNext)))) | ((~nextState(constB89, constB90)) | ((~v181(constB90)) <=> v104(constB90)))),
% 16.48/11.69 inference(quant_inst,[status(thm)],[])).
% 16.48/11.69 tff(27436,plain,
% 16.48/11.69 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v181(VarNext)) <=> v104(VarNext)))) | (~nextState(constB89, constB90)) | ((~v181(constB90)) <=> v104(constB90))),
% 16.48/11.69 inference(modus_ponens,[status(thm)],[27435, 27434])).
% 16.48/11.69 tff(27437,plain,
% 16.48/11.69 ((~v181(constB90)) <=> v104(constB90)),
% 16.48/11.69 inference(unit_resolution,[status(thm)],[27436, 776, 13612])).
% 16.48/11.69 tff(27438,plain,
% 16.48/11.69 ((~((~v181(constB90)) <=> v104(constB90))) | v181(constB90) | v104(constB90)),
% 16.48/11.69 inference(tautology,[status(thm)],[])).
% 16.48/11.69 tff(27439,plain,
% 16.48/11.69 (v181(constB90)),
% 16.48/11.69 inference(unit_resolution,[status(thm)],[27438, 801, 27437])).
% 16.48/11.69 tff(27440,plain,
% 16.48/11.69 ((~((~v1(constB90)) | (~v181(constB90)))) | (~v1(constB90)) | (~v181(constB90))),
% 16.48/11.69 inference(tautology,[status(thm)],[])).
% 16.48/11.69 tff(27441,plain,
% 16.48/11.69 ((~((~v1(constB90)) | (~v181(constB90)))) | (~v181(constB90))),
% 16.48/11.69 inference(unit_resolution,[status(thm)],[27440, 806])).
% 16.48/11.69 tff(27442,plain,
% 16.48/11.69 (~((~v1(constB90)) | (~v181(constB90)))),
% 16.48/11.69 inference(unit_resolution,[status(thm)],[27441, 27439])).
% 16.48/11.69 tff(27443,plain,
% 16.48/11.69 ((~(v180(constB90) <=> (~((~v1(constB90)) | (~v181(constB90)))))) | v180(constB90) | ((~v1(constB90)) | (~v181(constB90)))),
% 16.48/11.69 inference(tautology,[status(thm)],[])).
% 16.48/11.69 tff(27444,plain,
% 16.48/11.69 (v180(constB90)),
% 16.48/11.69 inference(unit_resolution,[status(thm)],[27443, 27442, 27433])).
% 16.48/11.69 tff(27445,plain,
% 16.48/11.69 ((~(v179(constB90) <=> v180(constB90))) | v179(constB90) | (~v180(constB90))),
% 16.48/11.69 inference(tautology,[status(thm)],[])).
% 16.48/11.69 tff(27446,plain,
% 16.48/11.69 (v179(constB90)),
% 16.48/11.69 inference(unit_resolution,[status(thm)],[27445, 27444, 27426])).
% 16.48/11.69 tff(27447,plain,
% 16.48/11.69 (((~![VarNext: $i] : ((~v179(VarNext)) | (v159(VarNext) <=> v186(VarNext)))) | ((~v179(constB90)) | (v159(constB90) <=> v186(constB90)))) <=> ((~![VarNext: $i] : ((~v179(VarNext)) | (v159(VarNext) <=> v186(VarNext)))) | (~v179(constB90)) | (v159(constB90) <=> v186(constB90)))),
% 16.48/11.69 inference(rewrite,[status(thm)],[])).
% 16.48/11.69 tff(27448,plain,
% 16.48/11.69 ((~![VarNext: $i] : ((~v179(VarNext)) | (v159(VarNext) <=> v186(VarNext)))) | ((~v179(constB90)) | (v159(constB90) <=> v186(constB90)))),
% 16.48/11.69 inference(quant_inst,[status(thm)],[])).
% 16.48/11.69 tff(27449,plain,
% 16.48/11.69 ((~![VarNext: $i] : ((~v179(VarNext)) | (v159(VarNext) <=> v186(VarNext)))) | (~v179(constB90)) | (v159(constB90) <=> v186(constB90))),
% 16.48/11.69 inference(modus_ponens,[status(thm)],[27448, 27447])).
% 16.48/11.69 tff(27450,plain,
% 16.48/11.69 (v159(constB90) <=> v186(constB90)),
% 16.48/11.69 inference(unit_resolution,[status(thm)],[27449, 13648, 27446])).
% 16.48/11.69 tff(27451,plain,
% 16.48/11.69 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v186(VarNext) <=> v161(VarCurr)))) | ((~nextState(constB89, constB90)) | (v186(constB90) <=> v161(constB89)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v186(VarNext) <=> v161(VarCurr)))) | (~nextState(constB89, constB90)) | (v186(constB90) <=> v161(constB89)))),
% 16.48/11.69 inference(rewrite,[status(thm)],[])).
% 16.48/11.69 tff(27452,plain,
% 16.48/11.69 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v186(VarNext) <=> v161(VarCurr)))) | ((~nextState(constB89, constB90)) | (v186(constB90) <=> v161(constB89)))),
% 16.48/11.69 inference(quant_inst,[status(thm)],[])).
% 16.48/11.69 tff(27453,plain,
% 16.48/11.69 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v186(VarNext) <=> v161(VarCurr)))) | (~nextState(constB89, constB90)) | (v186(constB90) <=> v161(constB89))),
% 16.48/11.69 inference(modus_ponens,[status(thm)],[27452, 27451])).
% 16.48/11.69 tff(27454,plain,
% 16.48/11.69 (v186(constB90) <=> v161(constB89)),
% 16.48/11.69 inference(unit_resolution,[status(thm)],[27453, 776, 13662])).
% 16.48/11.69 tff(27455,plain,
% 16.48/11.69 ((~![VarCurr: $i] : (v161(VarCurr) <=> v163(VarCurr))) | (v161(constB89) <=> v163(constB89))),
% 16.48/11.69 inference(quant_inst,[status(thm)],[])).
% 16.48/11.69 tff(27456,plain,
% 16.48/11.69 (v161(constB89) <=> v163(constB89)),
% 16.48/11.69 inference(unit_resolution,[status(thm)],[27455, 357])).
% 16.48/11.69 tff(27457,plain,
% 16.48/11.69 ((~![VarCurr: $i] : (v171(VarCurr) <=> (v142(VarCurr) | v150(VarCurr)))) | (v171(constB89) <=> (v142(constB89) | v150(constB89)))),
% 16.48/11.69 inference(quant_inst,[status(thm)],[])).
% 16.48/11.69 tff(27458,plain,
% 16.48/11.69 (v171(constB89) <=> (v142(constB89) | v150(constB89))),
% 16.48/11.69 inference(unit_resolution,[status(thm)],[27457, 369])).
% 16.48/11.69 tff(27459,plain,
% 16.48/11.69 ((~![VarCurr: $i] : (v142(VarCurr) <=> (v143(VarCurr) | v144(VarCurr)))) | (v142(constB89) <=> (v143(constB89) | v144(constB89)))),
% 16.48/11.69 inference(quant_inst,[status(thm)],[])).
% 16.48/11.69 tff(27460,plain,
% 16.48/11.69 (v142(constB89) <=> (v143(constB89) | v144(constB89))),
% 16.48/11.69 inference(unit_resolution,[status(thm)],[27459, 378])).
% 16.48/11.69 tff(27461,plain,
% 16.48/11.69 (((~![VarCurr: $i] : (v143(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)))))) | (v143(constB89) <=> (~(v88(constB89, bitIndex2) | (~v88(constB89, bitIndex1)) | v88(constB89, bitIndex0))))) <=> ((~![VarCurr: $i] : (v143(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)))))) | (v143(constB89) <=> (~(v88(constB89, bitIndex2) | (~v88(constB89, bitIndex1)) | v88(constB89, bitIndex0)))))),
% 16.48/11.70 inference(rewrite,[status(thm)],[])).
% 16.48/11.70 tff(27462,plain,
% 16.48/11.70 ((v143(constB89) <=> (~(v88(constB89, bitIndex0) | v88(constB89, bitIndex2) | (~v88(constB89, bitIndex1))))) <=> (v143(constB89) <=> (~(v88(constB89, bitIndex2) | (~v88(constB89, bitIndex1)) | v88(constB89, bitIndex0))))),
% 16.48/11.70 inference(rewrite,[status(thm)],[])).
% 16.48/11.70 tff(27463,plain,
% 16.48/11.70 (((~![VarCurr: $i] : (v143(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)))))) | (v143(constB89) <=> (~(v88(constB89, bitIndex0) | v88(constB89, bitIndex2) | (~v88(constB89, bitIndex1)))))) <=> ((~![VarCurr: $i] : (v143(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)))))) | (v143(constB89) <=> (~(v88(constB89, bitIndex2) | (~v88(constB89, bitIndex1)) | v88(constB89, bitIndex0)))))),
% 16.48/11.70 inference(monotonicity,[status(thm)],[27462])).
% 16.48/11.70 tff(27464,plain,
% 16.48/11.70 (((~![VarCurr: $i] : (v143(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)))))) | (v143(constB89) <=> (~(v88(constB89, bitIndex0) | v88(constB89, bitIndex2) | (~v88(constB89, bitIndex1)))))) <=> ((~![VarCurr: $i] : (v143(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)))))) | (v143(constB89) <=> (~(v88(constB89, bitIndex2) | (~v88(constB89, bitIndex1)) | v88(constB89, bitIndex0)))))),
% 16.48/11.70 inference(transitivity,[status(thm)],[27463, 27461])).
% 16.48/11.70 tff(27465,plain,
% 16.48/11.70 ((~![VarCurr: $i] : (v143(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)))))) | (v143(constB89) <=> (~(v88(constB89, bitIndex0) | v88(constB89, bitIndex2) | (~v88(constB89, bitIndex1)))))),
% 16.48/11.70 inference(quant_inst,[status(thm)],[])).
% 16.48/11.70 tff(27466,plain,
% 16.48/11.70 ((~![VarCurr: $i] : (v143(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)))))) | (v143(constB89) <=> (~(v88(constB89, bitIndex2) | (~v88(constB89, bitIndex1)) | v88(constB89, bitIndex0))))),
% 16.48/11.70 inference(modus_ponens,[status(thm)],[27465, 27464])).
% 16.48/11.70 tff(27467,plain,
% 16.48/11.70 (v143(constB89) <=> (~(v88(constB89, bitIndex2) | (~v88(constB89, bitIndex1)) | v88(constB89, bitIndex0)))),
% 16.48/11.70 inference(unit_resolution,[status(thm)],[27466, 20665])).
% 16.48/11.70 tff(27468,plain,
% 16.48/11.70 (((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | ((~less_3(bitIndex2)) | (v88(constB89, bitIndex2) <=> v90(constB89, bitIndex2)))) <=> ((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | (~less_3(bitIndex2)) | (v88(constB89, bitIndex2) <=> v90(constB89, bitIndex2)))),
% 16.48/11.70 inference(rewrite,[status(thm)],[])).
% 16.48/11.70 tff(27469,plain,
% 16.48/11.70 ((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | ((~less_3(bitIndex2)) | (v88(constB89, bitIndex2) <=> v90(constB89, bitIndex2)))),
% 16.48/11.70 inference(quant_inst,[status(thm)],[])).
% 16.48/11.70 tff(27470,plain,
% 16.48/11.70 ((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | (~less_3(bitIndex2)) | (v88(constB89, bitIndex2) <=> v90(constB89, bitIndex2))),
% 16.48/11.70 inference(modus_ponens,[status(thm)],[27469, 27468])).
% 16.48/11.70 tff(27471,plain,
% 16.48/11.70 (v88(constB89, bitIndex2) <=> v90(constB89, bitIndex2)),
% 16.48/11.70 inference(unit_resolution,[status(thm)],[27470, 413, 410])).
% 16.48/11.70 tff(27472,plain,
% 16.48/11.70 ((~(v88(constB89, bitIndex2) <=> v90(constB89, bitIndex2))) | (~v88(constB89, bitIndex2)) | v90(constB89, bitIndex2)),
% 16.48/11.70 inference(tautology,[status(thm)],[])).
% 16.48/11.70 tff(27473,plain,
% 16.48/11.70 (~v88(constB89, bitIndex2)),
% 16.48/11.70 inference(unit_resolution,[status(thm)],[27472, 12501, 27471])).
% 16.48/11.70 tff(27474,plain,
% 16.48/11.70 (((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | ((~less_3(bitIndex0)) | (v88(constB89, bitIndex0) <=> v90(constB89, bitIndex0)))) <=> ((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | (~less_3(bitIndex0)) | (v88(constB89, bitIndex0) <=> v90(constB89, bitIndex0)))),
% 16.48/11.70 inference(rewrite,[status(thm)],[])).
% 16.48/11.70 tff(27475,plain,
% 16.48/11.70 ((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | ((~less_3(bitIndex0)) | (v88(constB89, bitIndex0) <=> v90(constB89, bitIndex0)))),
% 16.48/11.70 inference(quant_inst,[status(thm)],[])).
% 16.48/11.70 tff(27476,plain,
% 16.48/11.70 ((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | (~less_3(bitIndex0)) | (v88(constB89, bitIndex0) <=> v90(constB89, bitIndex0))),
% 16.48/11.70 inference(modus_ponens,[status(thm)],[27475, 27474])).
% 16.48/11.70 tff(27477,plain,
% 16.48/11.70 (v88(constB89, bitIndex0) <=> v90(constB89, bitIndex0)),
% 16.48/11.70 inference(unit_resolution,[status(thm)],[27476, 5004, 410])).
% 16.48/11.70 tff(27478,plain,
% 16.48/11.70 ((~(v88(constB89, bitIndex0) <=> v90(constB89, bitIndex0))) | (~v88(constB89, bitIndex0)) | v90(constB89, bitIndex0)),
% 16.48/11.70 inference(tautology,[status(thm)],[])).
% 16.48/11.70 tff(27479,plain,
% 16.48/11.70 (~v88(constB89, bitIndex0)),
% 16.48/11.70 inference(unit_resolution,[status(thm)],[27478, 12532, 27477])).
% 16.48/11.70 tff(27480,plain,
% 16.48/11.70 (((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | ((~less_3(bitIndex1)) | (v88(constB89, bitIndex1) <=> v90(constB89, bitIndex1)))) <=> ((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | (~less_3(bitIndex1)) | (v88(constB89, bitIndex1) <=> v90(constB89, bitIndex1)))),
% 16.48/11.70 inference(rewrite,[status(thm)],[])).
% 16.48/11.70 tff(27481,plain,
% 16.48/11.70 ((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | ((~less_3(bitIndex1)) | (v88(constB89, bitIndex1) <=> v90(constB89, bitIndex1)))),
% 16.48/11.70 inference(quant_inst,[status(thm)],[])).
% 16.48/11.70 tff(27482,plain,
% 16.48/11.70 ((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | (~less_3(bitIndex1)) | (v88(constB89, bitIndex1) <=> v90(constB89, bitIndex1))),
% 16.48/11.70 inference(modus_ponens,[status(thm)],[27481, 27480])).
% 16.48/11.70 tff(27483,plain,
% 16.48/11.70 (v88(constB89, bitIndex1) <=> v90(constB89, bitIndex1)),
% 16.48/11.70 inference(unit_resolution,[status(thm)],[27482, 5017, 410])).
% 16.48/11.70 tff(27484,plain,
% 16.48/11.70 ((~(v88(constB89, bitIndex1) <=> v90(constB89, bitIndex1))) | v88(constB89, bitIndex1) | (~v90(constB89, bitIndex1))),
% 16.48/11.70 inference(tautology,[status(thm)],[])).
% 16.48/11.70 tff(27485,plain,
% 16.48/11.70 (v88(constB89, bitIndex1)),
% 16.48/11.70 inference(unit_resolution,[status(thm)],[27484, 12563, 27483])).
% 16.48/11.70 tff(27486,plain,
% 16.48/11.70 ((~(v88(constB89, bitIndex2) | (~v88(constB89, bitIndex1)) | v88(constB89, bitIndex0))) | v88(constB89, bitIndex2) | (~v88(constB89, bitIndex1)) | v88(constB89, bitIndex0)),
% 16.48/11.70 inference(tautology,[status(thm)],[])).
% 16.48/11.70 tff(27487,plain,
% 16.48/11.70 (~(v88(constB89, bitIndex2) | (~v88(constB89, bitIndex1)) | v88(constB89, bitIndex0))),
% 16.48/11.70 inference(unit_resolution,[status(thm)],[27486, 27485, 27479, 27473])).
% 16.48/11.70 tff(27488,plain,
% 16.48/11.70 ((~(v143(constB89) <=> (~(v88(constB89, bitIndex2) | (~v88(constB89, bitIndex1)) | v88(constB89, bitIndex0))))) | v143(constB89) | (v88(constB89, bitIndex2) | (~v88(constB89, bitIndex1)) | v88(constB89, bitIndex0))),
% 16.48/11.70 inference(tautology,[status(thm)],[])).
% 16.48/11.70 tff(27489,plain,
% 16.48/11.70 (v143(constB89)),
% 16.48/11.70 inference(unit_resolution,[status(thm)],[27488, 27487, 27467])).
% 16.48/11.70 tff(27490,plain,
% 16.48/11.70 ((v143(constB89) | v144(constB89)) | (~v143(constB89))),
% 16.48/11.70 inference(tautology,[status(thm)],[])).
% 16.48/11.70 tff(27491,plain,
% 16.48/11.70 (v143(constB89) | v144(constB89)),
% 16.48/11.70 inference(unit_resolution,[status(thm)],[27490, 27489])).
% 16.48/11.70 tff(27492,plain,
% 16.48/11.70 ((~(v142(constB89) <=> (v143(constB89) | v144(constB89)))) | v142(constB89) | (~(v143(constB89) | v144(constB89)))),
% 16.48/11.70 inference(tautology,[status(thm)],[])).
% 16.48/11.70 tff(27493,plain,
% 16.48/11.70 (v142(constB89)),
% 16.48/11.70 inference(unit_resolution,[status(thm)],[27492, 27491, 27460])).
% 16.48/11.70 tff(27494,plain,
% 16.48/11.70 ((v142(constB89) | v150(constB89)) | (~v142(constB89))),
% 16.48/11.70 inference(tautology,[status(thm)],[])).
% 16.48/11.70 tff(27495,plain,
% 16.48/11.70 (v142(constB89) | v150(constB89)),
% 16.48/11.70 inference(unit_resolution,[status(thm)],[27494, 27493])).
% 16.48/11.70 tff(27496,plain,
% 16.48/11.70 ((~(v171(constB89) <=> (v142(constB89) | v150(constB89)))) | v171(constB89) | (~(v142(constB89) | v150(constB89)))),
% 16.48/11.70 inference(tautology,[status(thm)],[])).
% 16.48/11.70 tff(27497,plain,
% 16.48/11.70 (v171(constB89)),
% 16.48/11.70 inference(unit_resolution,[status(thm)],[27496, 27495, 27458])).
% 16.48/11.70 tff(27498,plain,
% 16.48/11.70 (((~![VarCurr: $i] : ((~v171(VarCurr)) | (~v170(VarCurr)))) | ((~v170(constB89)) | (~v171(constB89)))) <=> ((~![VarCurr: $i] : ((~v171(VarCurr)) | (~v170(VarCurr)))) | (~v170(constB89)) | (~v171(constB89)))),
% 16.48/11.70 inference(rewrite,[status(thm)],[])).
% 16.48/11.70 tff(27499,plain,
% 16.48/11.70 (((~v171(constB89)) | (~v170(constB89))) <=> ((~v170(constB89)) | (~v171(constB89)))),
% 16.48/11.70 inference(rewrite,[status(thm)],[])).
% 16.48/11.70 tff(27500,plain,
% 16.48/11.70 (((~![VarCurr: $i] : ((~v171(VarCurr)) | (~v170(VarCurr)))) | ((~v171(constB89)) | (~v170(constB89)))) <=> ((~![VarCurr: $i] : ((~v171(VarCurr)) | (~v170(VarCurr)))) | ((~v170(constB89)) | (~v171(constB89))))),
% 16.48/11.70 inference(monotonicity,[status(thm)],[27499])).
% 16.48/11.70 tff(27501,plain,
% 16.48/11.70 (((~![VarCurr: $i] : ((~v171(VarCurr)) | (~v170(VarCurr)))) | ((~v171(constB89)) | (~v170(constB89)))) <=> ((~![VarCurr: $i] : ((~v171(VarCurr)) | (~v170(VarCurr)))) | (~v170(constB89)) | (~v171(constB89)))),
% 16.48/11.70 inference(transitivity,[status(thm)],[27500, 27498])).
% 16.48/11.70 tff(27502,plain,
% 16.48/11.70 ((~![VarCurr: $i] : ((~v171(VarCurr)) | (~v170(VarCurr)))) | ((~v171(constB89)) | (~v170(constB89)))),
% 16.48/11.70 inference(quant_inst,[status(thm)],[])).
% 16.48/11.70 tff(27503,plain,
% 16.48/11.70 ((~![VarCurr: $i] : ((~v171(VarCurr)) | (~v170(VarCurr)))) | (~v170(constB89)) | (~v171(constB89))),
% 16.48/11.70 inference(modus_ponens,[status(thm)],[27502, 27501])).
% 16.48/11.70 tff(27504,plain,
% 16.48/11.70 ((~v170(constB89)) | (~v171(constB89))),
% 16.48/11.70 inference(unit_resolution,[status(thm)],[27503, 13061])).
% 16.48/11.70 tff(27505,plain,
% 16.48/11.70 (~v170(constB89)),
% 16.48/11.70 inference(unit_resolution,[status(thm)],[27504, 27497])).
% 16.48/11.70 tff(27506,plain,
% 16.48/11.70 ((~![VarCurr: $i] : (v166(VarCurr) <=> (v145(VarCurr) | v167(VarCurr)))) | (v166(constB89) <=> (v145(constB89) | v167(constB89)))),
% 16.48/11.70 inference(quant_inst,[status(thm)],[])).
% 16.48/11.70 tff(27507,plain,
% 16.48/11.70 (v166(constB89) <=> (v145(constB89) | v167(constB89))),
% 16.48/11.70 inference(unit_resolution,[status(thm)],[27506, 13079])).
% 16.48/11.70 tff(27508,plain,
% 16.48/11.70 ((~![VarCurr: $i] : (v167(VarCurr) <=> (v142(VarCurr) | v168(VarCurr)))) | (v167(constB89) <=> (v142(constB89) | v168(constB89)))),
% 16.48/11.70 inference(quant_inst,[status(thm)],[])).
% 16.48/11.70 tff(27509,plain,
% 16.48/11.70 (v167(constB89) <=> (v142(constB89) | v168(constB89))),
% 16.48/11.70 inference(unit_resolution,[status(thm)],[27508, 13091])).
% 16.48/11.70 tff(27510,plain,
% 16.48/11.70 ((v142(constB89) | v168(constB89)) | (~v142(constB89))),
% 16.48/11.70 inference(tautology,[status(thm)],[])).
% 16.48/11.70 tff(27511,plain,
% 16.48/11.70 (v142(constB89) | v168(constB89)),
% 16.48/11.70 inference(unit_resolution,[status(thm)],[27510, 27493])).
% 16.48/11.70 tff(27512,plain,
% 16.48/11.70 ((~(v167(constB89) <=> (v142(constB89) | v168(constB89)))) | v167(constB89) | (~(v142(constB89) | v168(constB89)))),
% 16.48/11.70 inference(tautology,[status(thm)],[])).
% 16.48/11.70 tff(27513,plain,
% 16.48/11.70 (v167(constB89)),
% 16.48/11.70 inference(unit_resolution,[status(thm)],[27512, 27511, 27509])).
% 16.48/11.70 tff(27514,plain,
% 16.48/11.70 ((v145(constB89) | v167(constB89)) | (~v167(constB89))),
% 16.48/11.70 inference(tautology,[status(thm)],[])).
% 16.48/11.70 tff(27515,plain,
% 16.48/11.70 (v145(constB89) | v167(constB89)),
% 16.48/11.70 inference(unit_resolution,[status(thm)],[27514, 27513])).
% 16.48/11.70 tff(27516,plain,
% 16.48/11.70 ((~(v166(constB89) <=> (v145(constB89) | v167(constB89)))) | v166(constB89) | (~(v145(constB89) | v167(constB89)))),
% 16.48/11.70 inference(tautology,[status(thm)],[])).
% 16.48/11.70 tff(27517,plain,
% 16.48/11.70 (v166(constB89)),
% 16.48/11.70 inference(unit_resolution,[status(thm)],[27516, 27515, 27507])).
% 16.48/11.70 tff(27518,plain,
% 16.48/11.70 (((~![VarNext: $i] : ((~v166(VarNext)) | (v163(VarNext) <=> v170(VarNext)))) | ((~v166(constB89)) | (v163(constB89) <=> v170(constB89)))) <=> ((~![VarNext: $i] : ((~v166(VarNext)) | (v163(VarNext) <=> v170(VarNext)))) | (~v166(constB89)) | (v163(constB89) <=> v170(constB89)))),
% 16.48/11.70 inference(rewrite,[status(thm)],[])).
% 16.48/11.70 tff(27519,plain,
% 16.48/11.70 ((~![VarNext: $i] : ((~v166(VarNext)) | (v163(VarNext) <=> v170(VarNext)))) | ((~v166(constB89)) | (v163(constB89) <=> v170(constB89)))),
% 16.48/11.70 inference(quant_inst,[status(thm)],[])).
% 16.48/11.70 tff(27520,plain,
% 16.48/11.70 ((~![VarNext: $i] : ((~v166(VarNext)) | (v163(VarNext) <=> v170(VarNext)))) | (~v166(constB89)) | (v163(constB89) <=> v170(constB89))),
% 16.48/11.70 inference(modus_ponens,[status(thm)],[27519, 27518])).
% 16.48/11.70 tff(27521,plain,
% 16.48/11.70 ((~v166(constB89)) | (v163(constB89) <=> v170(constB89))),
% 16.48/11.70 inference(unit_resolution,[status(thm)],[27520, 13111])).
% 16.48/11.70 tff(27522,plain,
% 16.48/11.70 (v163(constB89) <=> v170(constB89)),
% 16.48/11.70 inference(unit_resolution,[status(thm)],[27521, 27517])).
% 16.48/11.70 tff(27523,plain,
% 16.48/11.70 ((~(v163(constB89) <=> v170(constB89))) | (~v163(constB89)) | v170(constB89)),
% 16.48/11.70 inference(tautology,[status(thm)],[])).
% 16.48/11.70 tff(27524,plain,
% 16.48/11.70 (~v163(constB89)),
% 16.48/11.70 inference(unit_resolution,[status(thm)],[27523, 27522, 27505])).
% 16.48/11.70 tff(27525,plain,
% 16.48/11.70 ((~(v161(constB89) <=> v163(constB89))) | (~v161(constB89)) | v163(constB89)),
% 16.48/11.70 inference(tautology,[status(thm)],[])).
% 16.48/11.70 tff(27526,plain,
% 16.48/11.70 (~v161(constB89)),
% 16.48/11.70 inference(unit_resolution,[status(thm)],[27525, 27524, 27456])).
% 16.48/11.70 tff(27527,plain,
% 16.48/11.70 ((~(v186(constB90) <=> v161(constB89))) | (~v186(constB90)) | v161(constB89)),
% 16.48/11.70 inference(tautology,[status(thm)],[])).
% 16.48/11.70 tff(27528,plain,
% 16.48/11.70 (~v186(constB90)),
% 16.48/11.70 inference(unit_resolution,[status(thm)],[27527, 27526, 27454])).
% 16.48/11.70 tff(27529,plain,
% 16.48/11.70 ((~(v159(constB90) <=> v186(constB90))) | (~v159(constB90)) | v186(constB90)),
% 16.48/11.70 inference(tautology,[status(thm)],[])).
% 16.48/11.70 tff(27530,plain,
% 16.48/11.70 (~v159(constB90)),
% 16.48/11.70 inference(unit_resolution,[status(thm)],[27529, 27528, 27450])).
% 16.48/11.70 tff(27531,plain,
% 16.48/11.70 ((~(v159(constB91) <=> v159(constB90))) | (~v159(constB91)) | v159(constB90)),
% 16.48/11.70 inference(tautology,[status(thm)],[])).
% 16.48/11.70 tff(27532,plain,
% 16.48/11.70 (~v159(constB91)),
% 16.48/11.70 inference(unit_resolution,[status(thm)],[27531, 27530, 27422])).
% 16.48/11.70 tff(27533,plain,
% 16.48/11.70 (((~v159(constB91)) | (~v161(constB91))) | v159(constB91)),
% 16.48/11.70 inference(tautology,[status(thm)],[])).
% 16.48/11.70 tff(27534,plain,
% 16.48/11.70 ((~v159(constB91)) | (~v161(constB91))),
% 16.48/11.70 inference(unit_resolution,[status(thm)],[27533, 27532])).
% 16.48/11.70 tff(27535,plain,
% 16.48/11.70 ((~(v201(constB91) <=> (~((~v159(constB91)) | (~v161(constB91)))))) | (~v201(constB91)) | (~((~v159(constB91)) | (~v161(constB91))))),
% 16.48/11.70 inference(tautology,[status(thm)],[])).
% 16.48/11.70 tff(27536,plain,
% 16.48/11.70 (~v201(constB91)),
% 16.48/11.70 inference(unit_resolution,[status(thm)],[27535, 27534, 27396])).
% 16.48/11.70 tff(27537,plain,
% 16.48/11.70 (((~v197(constB91)) | (~v201(constB91))) | v201(constB91)),
% 16.48/11.70 inference(tautology,[status(thm)],[])).
% 16.48/11.70 tff(27538,plain,
% 16.48/11.70 ((~v197(constB91)) | (~v201(constB91))),
% 16.48/11.70 inference(unit_resolution,[status(thm)],[27537, 27536])).
% 16.48/11.70 tff(27539,plain,
% 16.48/11.70 ((~(v200(constB91) <=> (~((~v197(constB91)) | (~v201(constB91)))))) | (~v200(constB91)) | (~((~v197(constB91)) | (~v201(constB91))))),
% 16.48/11.70 inference(tautology,[status(thm)],[])).
% 16.48/11.70 tff(27540,plain,
% 16.48/11.70 (~v200(constB91)),
% 16.48/11.70 inference(unit_resolution,[status(thm)],[27539, 27538, 27394])).
% 16.48/11.70 tff(27541,plain,
% 16.48/11.70 (((~v199(constB91)) | (~v200(constB91))) | v200(constB91)),
% 16.48/11.70 inference(tautology,[status(thm)],[])).
% 16.48/11.70 tff(27542,plain,
% 16.48/11.70 ((~v199(constB91)) | (~v200(constB91))),
% 16.48/11.70 inference(unit_resolution,[status(thm)],[27541, 27540])).
% 16.48/11.70 tff(27543,plain,
% 16.48/11.70 ((~(v198(constB91) <=> (~((~v199(constB91)) | (~v200(constB91)))))) | (~v198(constB91)) | (~((~v199(constB91)) | (~v200(constB91))))),
% 16.48/11.70 inference(tautology,[status(thm)],[])).
% 16.48/11.70 tff(27544,plain,
% 16.48/11.70 (~v198(constB91)),
% 16.48/11.70 inference(unit_resolution,[status(thm)],[27543, 27542, 27392])).
% 16.48/11.70 tff(27545,plain,
% 16.48/11.70 ((~(v194(constB91) | v198(constB91))) | v194(constB91) | v198(constB91)),
% 16.48/11.70 inference(tautology,[status(thm)],[])).
% 16.48/11.70 tff(27546,plain,
% 16.48/11.70 (~(v194(constB91) | v198(constB91))),
% 16.48/11.70 inference(unit_resolution,[status(thm)],[27545, 27544, 27390])).
% 16.48/11.70 tff(27547,plain,
% 16.48/11.70 ((~(v191(constB91) <=> (v194(constB91) | v198(constB91)))) | (~v191(constB91)) | (v194(constB91) | v198(constB91))),
% 16.48/11.70 inference(tautology,[status(thm)],[])).
% 16.48/11.70 tff(27548,plain,
% 16.48/11.70 (~v191(constB91)),
% 16.48/11.70 inference(unit_resolution,[status(thm)],[27547, 27546, 27317])).
% 16.48/11.70 tff(27549,plain,
% 16.48/11.70 ((~(v193(constB92) <=> v191(constB91))) | (~v193(constB92)) | v191(constB91)),
% 16.48/11.70 inference(tautology,[status(thm)],[])).
% 16.48/11.70 tff(27550,plain,
% 16.48/11.70 (~v193(constB92)),
% 16.48/11.70 inference(unit_resolution,[status(thm)],[27549, 27548, 27315])).
% 16.48/11.70 tff(27551,plain,
% 16.48/11.70 ((~(v157(constB92) <=> v193(constB92))) | (~v157(constB92)) | v193(constB92)),
% 16.48/11.70 inference(tautology,[status(thm)],[])).
% 16.48/11.70 tff(27552,plain,
% 16.48/11.70 (~v157(constB92)),
% 16.48/11.70 inference(unit_resolution,[status(thm)],[27551, 27550, 27311])).
% 16.48/11.71 tff(27553,plain,
% 16.48/11.71 (((~v157(constB92)) | (~v195(constB92))) | v157(constB92)),
% 16.48/11.71 inference(tautology,[status(thm)],[])).
% 16.48/11.71 tff(27554,plain,
% 16.48/11.71 ((~v157(constB92)) | (~v195(constB92))),
% 16.48/11.71 inference(unit_resolution,[status(thm)],[27553, 27552])).
% 16.48/11.71 tff(27555,plain,
% 16.48/11.71 ((~(v194(constB92) <=> (~((~v157(constB92)) | (~v195(constB92)))))) | (~v194(constB92)) | (~((~v157(constB92)) | (~v195(constB92))))),
% 16.48/11.71 inference(tautology,[status(thm)],[])).
% 16.48/11.71 tff(27556,plain,
% 16.48/11.71 (~v194(constB92)),
% 16.48/11.71 inference(unit_resolution,[status(thm)],[27555, 27554, 27309])).
% 16.48/11.71 tff(27557,plain,
% 16.48/11.71 ((~(v194(constB92) | v198(constB92))) | v194(constB92) | v198(constB92)),
% 16.48/11.71 inference(tautology,[status(thm)],[])).
% 16.48/11.71 tff(27558,plain,
% 16.48/11.71 (~(v194(constB92) | v198(constB92))),
% 16.48/11.71 inference(unit_resolution,[status(thm)],[27557, 27556, 27302])).
% 16.48/11.71 tff(27559,plain,
% 16.48/11.71 ((~(v191(constB92) <=> (v194(constB92) | v198(constB92)))) | (~v191(constB92)) | (v194(constB92) | v198(constB92))),
% 16.48/11.71 inference(tautology,[status(thm)],[])).
% 16.48/11.71 tff(27560,plain,
% 16.48/11.71 (~v191(constB92)),
% 16.48/11.71 inference(unit_resolution,[status(thm)],[27559, 27558, 27277])).
% 16.48/11.71 tff(27561,plain,
% 16.48/11.71 ((~(v193(constB93) <=> v191(constB92))) | (~v193(constB93)) | v191(constB92)),
% 16.48/11.71 inference(tautology,[status(thm)],[])).
% 16.48/11.71 tff(27562,plain,
% 16.48/11.71 (~v193(constB93)),
% 16.48/11.71 inference(unit_resolution,[status(thm)],[27561, 27560, 27275])).
% 16.48/11.71 tff(27563,plain,
% 16.48/11.71 ($false),
% 16.48/11.71 inference(unit_resolution,[status(thm)],[27562, 27271])).
% 16.48/11.71 tff(27564,plain,(~(constB93 = VarCurr!0)), inference(lemma,lemma(discharge,[]))).
% 16.48/11.71 tff(27565,assumption,(constB55 = VarCurr!0), introduced(assumption)).
% 16.48/11.71 tff(27566,plain,
% 16.48/11.71 (v86(constB55) <=> v86(VarCurr!0)),
% 16.48/11.71 inference(monotonicity,[status(thm)],[27565])).
% 16.48/11.71 tff(27567,plain,
% 16.48/11.71 (v86(VarCurr!0) <=> v86(constB55)),
% 16.48/11.71 inference(symmetry,[status(thm)],[27566])).
% 16.48/11.71 tff(27568,plain,
% 16.48/11.71 ((~v86(VarCurr!0)) <=> (~v86(constB55))),
% 16.48/11.71 inference(monotonicity,[status(thm)],[27567])).
% 16.48/11.71 tff(27569,plain,
% 16.48/11.71 (~v86(constB55)),
% 16.48/11.71 inference(modus_ponens,[status(thm)],[20649, 27568])).
% 16.48/11.71 tff(27570,plain,
% 16.48/11.71 ((~![VarCurr: $i] : (v142(VarCurr) <=> (v143(VarCurr) | v144(VarCurr)))) | (v142(constB55) <=> (v143(constB55) | v144(constB55)))),
% 16.48/11.71 inference(quant_inst,[status(thm)],[])).
% 16.48/11.71 tff(27571,plain,
% 16.48/11.71 (v142(constB55) <=> (v143(constB55) | v144(constB55))),
% 16.48/11.71 inference(unit_resolution,[status(thm)],[27570, 378])).
% 16.48/11.71 tff(27572,plain,
% 16.48/11.71 (((~![VarCurr: $i] : (v144(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex2)))))) | (v144(constB55) <=> (~((~v88(constB55, bitIndex2)) | (~v88(constB55, bitIndex1)) | v88(constB55, bitIndex0))))) <=> ((~![VarCurr: $i] : (v144(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex2)))))) | (v144(constB55) <=> (~((~v88(constB55, bitIndex2)) | (~v88(constB55, bitIndex1)) | v88(constB55, bitIndex0)))))),
% 16.48/11.71 inference(rewrite,[status(thm)],[])).
% 16.48/11.71 tff(27573,plain,
% 16.48/11.71 ((v144(constB55) <=> (~(v88(constB55, bitIndex0) | (~v88(constB55, bitIndex1)) | (~v88(constB55, bitIndex2))))) <=> (v144(constB55) <=> (~((~v88(constB55, bitIndex2)) | (~v88(constB55, bitIndex1)) | v88(constB55, bitIndex0))))),
% 16.48/11.71 inference(rewrite,[status(thm)],[])).
% 16.48/11.71 tff(27574,plain,
% 16.48/11.71 (((~![VarCurr: $i] : (v144(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex2)))))) | (v144(constB55) <=> (~(v88(constB55, bitIndex0) | (~v88(constB55, bitIndex1)) | (~v88(constB55, bitIndex2)))))) <=> ((~![VarCurr: $i] : (v144(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex2)))))) | (v144(constB55) <=> (~((~v88(constB55, bitIndex2)) | (~v88(constB55, bitIndex1)) | v88(constB55, bitIndex0)))))),
% 16.48/11.71 inference(monotonicity,[status(thm)],[27573])).
% 16.48/11.71 tff(27575,plain,
% 16.48/11.71 (((~![VarCurr: $i] : (v144(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex2)))))) | (v144(constB55) <=> (~(v88(constB55, bitIndex0) | (~v88(constB55, bitIndex1)) | (~v88(constB55, bitIndex2)))))) <=> ((~![VarCurr: $i] : (v144(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex2)))))) | (v144(constB55) <=> (~((~v88(constB55, bitIndex2)) | (~v88(constB55, bitIndex1)) | v88(constB55, bitIndex0)))))),
% 16.48/11.71 inference(transitivity,[status(thm)],[27574, 27572])).
% 16.48/11.71 tff(27576,plain,
% 16.48/11.71 ((~![VarCurr: $i] : (v144(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex2)))))) | (v144(constB55) <=> (~(v88(constB55, bitIndex0) | (~v88(constB55, bitIndex1)) | (~v88(constB55, bitIndex2)))))),
% 16.48/11.71 inference(quant_inst,[status(thm)],[])).
% 16.48/11.71 tff(27577,plain,
% 16.48/11.71 ((~![VarCurr: $i] : (v144(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex2)))))) | (v144(constB55) <=> (~((~v88(constB55, bitIndex2)) | (~v88(constB55, bitIndex1)) | v88(constB55, bitIndex0))))),
% 16.48/11.71 inference(modus_ponens,[status(thm)],[27576, 27575])).
% 16.48/11.71 tff(27578,plain,
% 16.48/11.71 (v144(constB55) <=> (~((~v88(constB55, bitIndex2)) | (~v88(constB55, bitIndex1)) | v88(constB55, bitIndex0)))),
% 16.48/11.71 inference(unit_resolution,[status(thm)],[27577, 393])).
% 16.48/11.71 tff(27579,plain,
% 16.48/11.71 (((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | ((~less_3(bitIndex2)) | (v88(constB55, bitIndex2) <=> v90(constB55, bitIndex2)))) <=> ((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | (~less_3(bitIndex2)) | (v88(constB55, bitIndex2) <=> v90(constB55, bitIndex2)))),
% 16.48/11.71 inference(rewrite,[status(thm)],[])).
% 16.48/11.71 tff(27580,plain,
% 16.48/11.71 ((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | ((~less_3(bitIndex2)) | (v88(constB55, bitIndex2) <=> v90(constB55, bitIndex2)))),
% 16.48/11.71 inference(quant_inst,[status(thm)],[])).
% 16.48/11.71 tff(27581,plain,
% 16.48/11.71 ((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | (~less_3(bitIndex2)) | (v88(constB55, bitIndex2) <=> v90(constB55, bitIndex2))),
% 16.48/11.71 inference(modus_ponens,[status(thm)],[27580, 27579])).
% 16.48/11.71 tff(27582,plain,
% 16.48/11.71 (v88(constB55, bitIndex2) <=> v90(constB55, bitIndex2)),
% 16.48/11.71 inference(unit_resolution,[status(thm)],[27581, 413, 410])).
% 16.48/11.71 tff(27583,plain,
% 16.48/11.71 ((~(v88(constB55, bitIndex2) <=> v90(constB55, bitIndex2))) | v88(constB55, bitIndex2) | (~v90(constB55, bitIndex2))),
% 16.48/11.71 inference(tautology,[status(thm)],[])).
% 16.48/11.71 tff(27584,plain,
% 16.48/11.71 (v88(constB55, bitIndex2)),
% 16.48/11.71 inference(unit_resolution,[status(thm)],[27583, 9643, 27582])).
% 16.48/11.71 tff(27585,plain,
% 16.48/11.71 (((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | ((~less_3(bitIndex0)) | (v88(constB55, bitIndex0) <=> v90(constB55, bitIndex0)))) <=> ((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | (~less_3(bitIndex0)) | (v88(constB55, bitIndex0) <=> v90(constB55, bitIndex0)))),
% 16.48/11.71 inference(rewrite,[status(thm)],[])).
% 16.48/11.71 tff(27586,plain,
% 16.48/11.71 ((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | ((~less_3(bitIndex0)) | (v88(constB55, bitIndex0) <=> v90(constB55, bitIndex0)))),
% 16.48/11.71 inference(quant_inst,[status(thm)],[])).
% 16.48/11.71 tff(27587,plain,
% 16.48/11.71 ((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | (~less_3(bitIndex0)) | (v88(constB55, bitIndex0) <=> v90(constB55, bitIndex0))),
% 16.48/11.71 inference(modus_ponens,[status(thm)],[27586, 27585])).
% 16.48/11.71 tff(27588,plain,
% 16.48/11.71 (v88(constB55, bitIndex0) <=> v90(constB55, bitIndex0)),
% 16.48/11.71 inference(unit_resolution,[status(thm)],[27587, 5004, 410])).
% 16.48/11.71 tff(27589,plain,
% 16.48/11.71 ((~(v88(constB55, bitIndex0) <=> v90(constB55, bitIndex0))) | (~v88(constB55, bitIndex0)) | v90(constB55, bitIndex0)),
% 16.48/11.71 inference(tautology,[status(thm)],[])).
% 16.48/11.71 tff(27590,plain,
% 16.48/11.71 (~v88(constB55, bitIndex0)),
% 16.48/11.71 inference(unit_resolution,[status(thm)],[27589, 9674, 27588])).
% 16.48/11.71 tff(27591,plain,
% 16.48/11.71 (((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | ((~less_3(bitIndex1)) | (v88(constB55, bitIndex1) <=> v90(constB55, bitIndex1)))) <=> ((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | (~less_3(bitIndex1)) | (v88(constB55, bitIndex1) <=> v90(constB55, bitIndex1)))),
% 16.48/11.71 inference(rewrite,[status(thm)],[])).
% 16.48/11.71 tff(27592,plain,
% 16.48/11.71 ((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | ((~less_3(bitIndex1)) | (v88(constB55, bitIndex1) <=> v90(constB55, bitIndex1)))),
% 16.48/11.71 inference(quant_inst,[status(thm)],[])).
% 16.48/11.71 tff(27593,plain,
% 16.48/11.71 ((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | (~less_3(bitIndex1)) | (v88(constB55, bitIndex1) <=> v90(constB55, bitIndex1))),
% 16.48/11.71 inference(modus_ponens,[status(thm)],[27592, 27591])).
% 16.48/11.71 tff(27594,plain,
% 16.48/11.71 (v88(constB55, bitIndex1) <=> v90(constB55, bitIndex1)),
% 16.48/11.71 inference(unit_resolution,[status(thm)],[27593, 5017, 410])).
% 16.48/11.71 tff(27595,plain,
% 16.48/11.71 ((~(v88(constB55, bitIndex1) <=> v90(constB55, bitIndex1))) | v88(constB55, bitIndex1) | (~v90(constB55, bitIndex1))),
% 16.48/11.71 inference(tautology,[status(thm)],[])).
% 16.48/11.71 tff(27596,plain,
% 16.48/11.71 (v88(constB55, bitIndex1)),
% 16.48/11.71 inference(unit_resolution,[status(thm)],[27595, 9705, 27594])).
% 16.48/11.71 tff(27597,plain,
% 16.48/11.71 ((~((~v88(constB55, bitIndex2)) | (~v88(constB55, bitIndex1)) | v88(constB55, bitIndex0))) | (~v88(constB55, bitIndex2)) | (~v88(constB55, bitIndex1)) | v88(constB55, bitIndex0)),
% 16.48/11.71 inference(tautology,[status(thm)],[])).
% 16.48/11.71 tff(27598,plain,
% 16.48/11.71 (~((~v88(constB55, bitIndex2)) | (~v88(constB55, bitIndex1)) | v88(constB55, bitIndex0))),
% 16.48/11.71 inference(unit_resolution,[status(thm)],[27597, 27596, 27590, 27584])).
% 16.48/11.71 tff(27599,plain,
% 16.48/11.71 ((~(v144(constB55) <=> (~((~v88(constB55, bitIndex2)) | (~v88(constB55, bitIndex1)) | v88(constB55, bitIndex0))))) | v144(constB55) | ((~v88(constB55, bitIndex2)) | (~v88(constB55, bitIndex1)) | v88(constB55, bitIndex0))),
% 16.48/11.71 inference(tautology,[status(thm)],[])).
% 16.48/11.71 tff(27600,plain,
% 16.48/11.71 (v144(constB55)),
% 16.48/11.71 inference(unit_resolution,[status(thm)],[27599, 27598, 27578])).
% 16.48/11.71 tff(27601,plain,
% 16.48/11.71 ((v143(constB55) | v144(constB55)) | (~v144(constB55))),
% 16.48/11.71 inference(tautology,[status(thm)],[])).
% 16.48/11.71 tff(27602,plain,
% 16.48/11.71 (v143(constB55) | v144(constB55)),
% 16.48/11.71 inference(unit_resolution,[status(thm)],[27601, 27600])).
% 16.48/11.71 tff(27603,plain,
% 16.48/11.71 ((~(v142(constB55) <=> (v143(constB55) | v144(constB55)))) | v142(constB55) | (~(v143(constB55) | v144(constB55)))),
% 16.48/11.71 inference(tautology,[status(thm)],[])).
% 16.48/11.71 tff(27604,plain,
% 16.48/11.71 (v142(constB55)),
% 16.48/11.71 inference(unit_resolution,[status(thm)],[27603, 27602, 27571])).
% 16.48/11.71 tff(27605,plain,
% 16.48/11.71 (((~![VarCurr: $i] : (v148(VarCurr) | (~v142(VarCurr)))) | (v148(constB55) | (~v142(constB55)))) <=> ((~![VarCurr: $i] : (v148(VarCurr) | (~v142(VarCurr)))) | v148(constB55) | (~v142(constB55)))),
% 16.48/11.71 inference(rewrite,[status(thm)],[])).
% 16.48/11.71 tff(27606,plain,
% 16.48/11.71 ((~![VarCurr: $i] : (v148(VarCurr) | (~v142(VarCurr)))) | (v148(constB55) | (~v142(constB55)))),
% 16.48/11.71 inference(quant_inst,[status(thm)],[])).
% 16.48/11.71 tff(27607,plain,
% 16.48/11.71 ((~![VarCurr: $i] : (v148(VarCurr) | (~v142(VarCurr)))) | v148(constB55) | (~v142(constB55))),
% 16.48/11.71 inference(modus_ponens,[status(thm)],[27606, 27605])).
% 16.48/11.71 tff(27608,plain,
% 16.48/11.71 (v148(constB55) | (~v142(constB55))),
% 16.48/11.71 inference(unit_resolution,[status(thm)],[27607, 23525])).
% 16.48/11.71 tff(27609,plain,
% 16.48/11.71 (v148(constB55)),
% 16.48/11.71 inference(unit_resolution,[status(thm)],[27608, 27604])).
% 16.48/11.71 tff(27610,plain,
% 16.48/11.71 ((~![VarCurr: $i] : (v135(VarCurr) <=> (v136(VarCurr) | v145(VarCurr)))) | (v135(constB55) <=> (v136(constB55) | v145(constB55)))),
% 16.48/11.71 inference(quant_inst,[status(thm)],[])).
% 16.48/11.71 tff(27611,plain,
% 16.48/11.71 (v135(constB55) <=> (v136(constB55) | v145(constB55))),
% 16.48/11.71 inference(unit_resolution,[status(thm)],[27610, 23537])).
% 16.48/11.71 tff(27612,plain,
% 16.48/11.71 ((~![VarCurr: $i] : (v136(VarCurr) <=> (v137(VarCurr) | v142(VarCurr)))) | (v136(constB55) <=> (v137(constB55) | v142(constB55)))),
% 16.48/11.71 inference(quant_inst,[status(thm)],[])).
% 16.48/11.71 tff(27613,plain,
% 16.48/11.71 (v136(constB55) <=> (v137(constB55) | v142(constB55))),
% 16.48/11.71 inference(unit_resolution,[status(thm)],[27612, 23546])).
% 16.48/11.71 tff(27614,plain,
% 16.48/11.71 ((v137(constB55) | v142(constB55)) | (~v142(constB55))),
% 16.48/11.71 inference(tautology,[status(thm)],[])).
% 16.48/11.71 tff(27615,plain,
% 16.48/11.71 (v137(constB55) | v142(constB55)),
% 16.48/11.71 inference(unit_resolution,[status(thm)],[27614, 27604])).
% 16.48/11.71 tff(27616,plain,
% 16.48/11.71 ((~(v136(constB55) <=> (v137(constB55) | v142(constB55)))) | v136(constB55) | (~(v137(constB55) | v142(constB55)))),
% 16.48/11.71 inference(tautology,[status(thm)],[])).
% 16.48/11.71 tff(27617,plain,
% 16.48/11.71 (v136(constB55)),
% 16.48/11.71 inference(unit_resolution,[status(thm)],[27616, 27615, 27613])).
% 16.48/11.71 tff(27618,plain,
% 16.48/11.71 ((v136(constB55) | v145(constB55)) | (~v136(constB55))),
% 16.48/11.71 inference(tautology,[status(thm)],[])).
% 16.48/11.71 tff(27619,plain,
% 16.48/11.71 (v136(constB55) | v145(constB55)),
% 16.48/11.71 inference(unit_resolution,[status(thm)],[27618, 27617])).
% 16.48/11.71 tff(27620,plain,
% 16.48/11.71 ((~(v135(constB55) <=> (v136(constB55) | v145(constB55)))) | v135(constB55) | (~(v136(constB55) | v145(constB55)))),
% 16.48/11.71 inference(tautology,[status(thm)],[])).
% 16.48/11.71 tff(27621,plain,
% 16.48/11.71 (v135(constB55)),
% 16.48/11.71 inference(unit_resolution,[status(thm)],[27620, 27619, 27611])).
% 16.48/11.71 tff(27622,plain,
% 16.48/11.71 (((~![VarNext: $i] : ((~v135(VarNext)) | (v86(VarNext) <=> v148(VarNext)))) | ((~v135(constB55)) | (v86(constB55) <=> v148(constB55)))) <=> ((~![VarNext: $i] : ((~v135(VarNext)) | (v86(VarNext) <=> v148(VarNext)))) | (~v135(constB55)) | (v86(constB55) <=> v148(constB55)))),
% 16.48/11.71 inference(rewrite,[status(thm)],[])).
% 16.48/11.71 tff(27623,plain,
% 16.48/11.71 ((~![VarNext: $i] : ((~v135(VarNext)) | (v86(VarNext) <=> v148(VarNext)))) | ((~v135(constB55)) | (v86(constB55) <=> v148(constB55)))),
% 16.48/11.71 inference(quant_inst,[status(thm)],[])).
% 16.48/11.71 tff(27624,plain,
% 16.48/11.71 ((~![VarNext: $i] : ((~v135(VarNext)) | (v86(VarNext) <=> v148(VarNext)))) | (~v135(constB55)) | (v86(constB55) <=> v148(constB55))),
% 16.48/11.71 inference(modus_ponens,[status(thm)],[27623, 27622])).
% 16.48/11.71 tff(27625,plain,
% 16.48/11.71 ((~v135(constB55)) | (v86(constB55) <=> v148(constB55))),
% 16.48/11.71 inference(unit_resolution,[status(thm)],[27624, 23566])).
% 16.48/11.71 tff(27626,plain,
% 16.48/11.71 (v86(constB55) <=> v148(constB55)),
% 16.48/11.71 inference(unit_resolution,[status(thm)],[27625, 27621])).
% 16.48/11.71 tff(27627,plain,
% 16.48/11.71 ((~(v86(constB55) <=> v148(constB55))) | v86(constB55) | (~v148(constB55))),
% 16.48/11.71 inference(tautology,[status(thm)],[])).
% 16.48/11.71 tff(27628,plain,
% 16.48/11.71 (v86(constB55)),
% 16.48/11.71 inference(unit_resolution,[status(thm)],[27627, 27626, 27609])).
% 16.48/11.71 tff(27629,plain,
% 16.48/11.71 ($false),
% 16.48/11.71 inference(unit_resolution,[status(thm)],[27628, 27569])).
% 16.48/11.71 tff(27630,plain,(~(constB55 = VarCurr!0)), inference(lemma,lemma(discharge,[]))).
% 16.48/11.71 tff(27631,assumption,(constB137 = VarCurr!0), introduced(assumption)).
% 16.48/11.71 tff(27632,plain,
% 16.48/11.71 (v193(constB137) <=> v193(VarCurr!0)),
% 16.48/11.71 inference(monotonicity,[status(thm)],[27631])).
% 16.48/11.71 tff(27633,plain,
% 16.48/11.71 (v193(VarCurr!0) <=> v193(constB137)),
% 16.48/11.71 inference(symmetry,[status(thm)],[27632])).
% 16.48/11.71 tff(27634,plain,
% 16.48/11.71 (v193(constB137)),
% 16.48/11.71 inference(modus_ponens,[status(thm)],[59, 27633])).
% 16.48/11.71 tff(27635,plain,
% 16.48/11.71 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v193(VarNext) <=> v191(VarCurr)))) | ((~nextState(constB136, constB137)) | (v193(constB137) <=> v191(constB136)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v193(VarNext) <=> v191(VarCurr)))) | (~nextState(constB136, constB137)) | (v193(constB137) <=> v191(constB136)))),
% 16.48/11.71 inference(rewrite,[status(thm)],[])).
% 16.48/11.71 tff(27636,plain,
% 16.48/11.71 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v193(VarNext) <=> v191(VarCurr)))) | ((~nextState(constB136, constB137)) | (v193(constB137) <=> v191(constB136)))),
% 16.48/11.71 inference(quant_inst,[status(thm)],[])).
% 16.48/11.71 tff(27637,plain,
% 16.48/11.71 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v193(VarNext) <=> v191(VarCurr)))) | (~nextState(constB136, constB137)) | (v193(constB137) <=> v191(constB136))),
% 16.48/11.71 inference(modus_ponens,[status(thm)],[27636, 27635])).
% 16.48/11.71 tff(27638,plain,
% 16.48/11.71 (v193(constB137) <=> v191(constB136)),
% 16.48/11.71 inference(unit_resolution,[status(thm)],[27637, 14181, 70])).
% 16.48/11.71 tff(27639,plain,
% 16.48/11.71 ((~![VarCurr: $i] : (v191(VarCurr) <=> (v194(VarCurr) | v198(VarCurr)))) | (v191(constB136) <=> (v194(constB136) | v198(constB136)))),
% 16.48/11.71 inference(quant_inst,[status(thm)],[])).
% 16.48/11.71 tff(27640,plain,
% 16.48/11.71 (v191(constB136) <=> (v194(constB136) | v198(constB136))),
% 16.48/11.71 inference(unit_resolution,[status(thm)],[27639, 84])).
% 16.48/11.71 tff(27641,plain,
% 16.48/11.72 ((~![VarCurr: $i] : (v198(VarCurr) <=> (~((~v199(VarCurr)) | (~v200(VarCurr)))))) | (v198(constB136) <=> (~((~v199(constB136)) | (~v200(constB136)))))),
% 16.48/11.72 inference(quant_inst,[status(thm)],[])).
% 16.48/11.72 tff(27642,plain,
% 16.48/11.72 (v198(constB136) <=> (~((~v199(constB136)) | (~v200(constB136))))),
% 16.48/11.72 inference(unit_resolution,[status(thm)],[27641, 96])).
% 16.48/11.72 tff(27643,plain,
% 16.48/11.72 ((~![VarCurr: $i] : (v200(VarCurr) <=> (~((~v197(VarCurr)) | (~v201(VarCurr)))))) | (v200(constB136) <=> (~((~v197(constB136)) | (~v201(constB136)))))),
% 16.48/11.72 inference(quant_inst,[status(thm)],[])).
% 16.48/11.72 tff(27644,plain,
% 16.48/11.72 (v200(constB136) <=> (~((~v197(constB136)) | (~v201(constB136))))),
% 16.48/11.72 inference(unit_resolution,[status(thm)],[27643, 108])).
% 16.48/11.72 tff(27645,plain,
% 16.48/11.72 ((~![VarCurr: $i] : (v197(VarCurr) <=> (~((~v39(VarCurr)) | (~v9(VarCurr)))))) | (v197(constB136) <=> (~((~v39(constB136)) | (~v9(constB136)))))),
% 16.48/11.72 inference(quant_inst,[status(thm)],[])).
% 16.48/11.72 tff(27646,plain,
% 16.48/11.72 (v197(constB136) <=> (~((~v39(constB136)) | (~v9(constB136))))),
% 16.48/11.72 inference(unit_resolution,[status(thm)],[27645, 120])).
% 16.48/11.72 tff(27647,plain,
% 16.48/11.72 ((~![VarCurr: $i] : ((~v39(VarCurr)) <=> v1(VarCurr))) | ((~v39(constB136)) <=> v1(constB136))),
% 16.48/11.72 inference(quant_inst,[status(thm)],[])).
% 16.48/11.72 tff(27648,plain,
% 16.48/11.72 ((~v39(constB136)) <=> v1(constB136)),
% 16.48/11.72 inference(unit_resolution,[status(thm)],[27647, 129])).
% 16.48/11.72 tff(27649,plain,
% 16.48/11.72 ((~((~v39(constB136)) <=> v1(constB136))) | (~v39(constB136)) | (~v1(constB136))),
% 16.48/11.72 inference(tautology,[status(thm)],[])).
% 16.48/11.72 tff(27650,plain,
% 16.48/11.72 ((~((~v39(constB136)) <=> v1(constB136))) | (~v39(constB136))),
% 16.48/11.72 inference(unit_resolution,[status(thm)],[27649, 14243])).
% 16.48/11.72 tff(27651,plain,
% 16.48/11.72 (~v39(constB136)),
% 16.48/11.72 inference(unit_resolution,[status(thm)],[27650, 27648])).
% 16.48/11.72 tff(27652,plain,
% 16.48/11.72 (((~v39(constB136)) | (~v9(constB136))) | v39(constB136)),
% 16.48/11.72 inference(tautology,[status(thm)],[])).
% 16.48/11.72 tff(27653,plain,
% 16.48/11.72 ((~v39(constB136)) | (~v9(constB136))),
% 16.48/11.72 inference(unit_resolution,[status(thm)],[27652, 27651])).
% 16.48/11.72 tff(27654,plain,
% 16.48/11.72 ((~(v197(constB136) <=> (~((~v39(constB136)) | (~v9(constB136)))))) | (~v197(constB136)) | (~((~v39(constB136)) | (~v9(constB136))))),
% 16.48/11.72 inference(tautology,[status(thm)],[])).
% 16.48/11.72 tff(27655,plain,
% 16.48/11.72 ((~(v197(constB136) <=> (~((~v39(constB136)) | (~v9(constB136)))))) | (~v197(constB136))),
% 16.48/11.72 inference(unit_resolution,[status(thm)],[27654, 27653])).
% 16.48/11.72 tff(27656,plain,
% 16.48/11.72 (~v197(constB136)),
% 16.48/11.72 inference(unit_resolution,[status(thm)],[27655, 27646])).
% 16.48/11.72 tff(27657,plain,
% 16.48/11.72 (((~v197(constB136)) | (~v201(constB136))) | v197(constB136)),
% 16.48/11.72 inference(tautology,[status(thm)],[])).
% 16.48/11.72 tff(27658,plain,
% 16.48/11.72 ((~v197(constB136)) | (~v201(constB136))),
% 16.48/11.72 inference(unit_resolution,[status(thm)],[27657, 27656])).
% 16.48/11.72 tff(27659,plain,
% 16.48/11.72 ((~(v200(constB136) <=> (~((~v197(constB136)) | (~v201(constB136)))))) | (~v200(constB136)) | (~((~v197(constB136)) | (~v201(constB136))))),
% 16.48/11.72 inference(tautology,[status(thm)],[])).
% 16.48/11.72 tff(27660,plain,
% 16.48/11.72 ((~(v200(constB136) <=> (~((~v197(constB136)) | (~v201(constB136)))))) | (~v200(constB136))),
% 16.48/11.72 inference(unit_resolution,[status(thm)],[27659, 27658])).
% 16.48/11.72 tff(27661,plain,
% 16.48/11.72 (~v200(constB136)),
% 16.48/11.72 inference(unit_resolution,[status(thm)],[27660, 27644])).
% 16.48/11.72 tff(27662,plain,
% 16.48/11.72 (((~v199(constB136)) | (~v200(constB136))) | v200(constB136)),
% 16.48/11.72 inference(tautology,[status(thm)],[])).
% 16.48/11.72 tff(27663,plain,
% 16.48/11.72 ((~v199(constB136)) | (~v200(constB136))),
% 16.48/11.72 inference(unit_resolution,[status(thm)],[27662, 27661])).
% 16.48/11.72 tff(27664,plain,
% 16.48/11.72 ((~(v198(constB136) <=> (~((~v199(constB136)) | (~v200(constB136)))))) | (~v198(constB136)) | (~((~v199(constB136)) | (~v200(constB136))))),
% 16.48/11.72 inference(tautology,[status(thm)],[])).
% 16.48/11.72 tff(27665,plain,
% 16.48/11.72 (~v198(constB136)),
% 16.48/11.72 inference(unit_resolution,[status(thm)],[27664, 27663, 27642])).
% 16.48/11.72 tff(27666,plain,
% 16.48/11.72 (((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB136) <=> (~((~v157(constB136)) | (~v195(constB136)))))) <=> ((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB136) <=> (~((~v157(constB136)) | (~v195(constB136))))))),
% 16.48/11.72 inference(rewrite,[status(thm)],[])).
% 16.48/11.72 tff(27667,plain,
% 16.48/11.72 ((v194(constB136) <=> (~((~v195(constB136)) | (~v157(constB136))))) <=> (v194(constB136) <=> (~((~v157(constB136)) | (~v195(constB136)))))),
% 16.48/11.72 inference(rewrite,[status(thm)],[])).
% 16.48/11.72 tff(27668,plain,
% 16.48/11.72 (((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB136) <=> (~((~v195(constB136)) | (~v157(constB136)))))) <=> ((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB136) <=> (~((~v157(constB136)) | (~v195(constB136))))))),
% 16.48/11.72 inference(monotonicity,[status(thm)],[27667])).
% 16.48/11.72 tff(27669,plain,
% 16.48/11.72 (((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB136) <=> (~((~v195(constB136)) | (~v157(constB136)))))) <=> ((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB136) <=> (~((~v157(constB136)) | (~v195(constB136))))))),
% 16.48/11.72 inference(transitivity,[status(thm)],[27668, 27666])).
% 16.48/11.72 tff(27670,plain,
% 16.48/11.72 ((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB136) <=> (~((~v195(constB136)) | (~v157(constB136)))))),
% 16.48/11.72 inference(quant_inst,[status(thm)],[])).
% 16.48/11.72 tff(27671,plain,
% 16.48/11.72 ((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB136) <=> (~((~v157(constB136)) | (~v195(constB136)))))),
% 16.48/11.72 inference(modus_ponens,[status(thm)],[27670, 27669])).
% 16.48/11.72 tff(27672,plain,
% 16.48/11.72 (v194(constB136) <=> (~((~v157(constB136)) | (~v195(constB136))))),
% 16.48/11.72 inference(unit_resolution,[status(thm)],[27671, 161])).
% 16.48/11.72 tff(27673,plain,
% 16.48/11.72 ((~![VarNext: $i] : (v157(VarNext) <=> v193(VarNext))) | (v157(constB136) <=> v193(constB136))),
% 16.48/11.72 inference(quant_inst,[status(thm)],[])).
% 16.48/11.72 tff(27674,plain,
% 16.48/11.72 (v157(constB136) <=> v193(constB136)),
% 16.48/11.72 inference(unit_resolution,[status(thm)],[27673, 13])).
% 16.48/11.72 tff(27675,plain,
% 16.48/11.72 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v193(VarNext) <=> v191(VarCurr)))) | ((~nextState(constB135, constB136)) | (v193(constB136) <=> v191(constB135)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v193(VarNext) <=> v191(VarCurr)))) | (~nextState(constB135, constB136)) | (v193(constB136) <=> v191(constB135)))),
% 16.48/11.72 inference(rewrite,[status(thm)],[])).
% 16.48/11.72 tff(27676,plain,
% 16.48/11.72 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v193(VarNext) <=> v191(VarCurr)))) | ((~nextState(constB135, constB136)) | (v193(constB136) <=> v191(constB135)))),
% 16.48/11.72 inference(quant_inst,[status(thm)],[])).
% 16.48/11.72 tff(27677,plain,
% 16.48/11.72 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v193(VarNext) <=> v191(VarCurr)))) | (~nextState(constB135, constB136)) | (v193(constB136) <=> v191(constB135))),
% 16.48/11.72 inference(modus_ponens,[status(thm)],[27676, 27675])).
% 16.48/11.72 tff(27678,plain,
% 16.48/11.72 (v193(constB136) <=> v191(constB135)),
% 16.48/11.72 inference(unit_resolution,[status(thm)],[27677, 14213, 70])).
% 16.48/11.72 tff(27679,plain,
% 16.48/11.72 ((~![VarCurr: $i] : (v191(VarCurr) <=> (v194(VarCurr) | v198(VarCurr)))) | (v191(constB135) <=> (v194(constB135) | v198(constB135)))),
% 16.48/11.72 inference(quant_inst,[status(thm)],[])).
% 16.48/11.72 tff(27680,plain,
% 16.48/11.72 (v191(constB135) <=> (v194(constB135) | v198(constB135))),
% 16.48/11.72 inference(unit_resolution,[status(thm)],[27679, 84])).
% 16.48/11.72 tff(27681,plain,
% 16.48/11.72 (((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB135) <=> (~((~v157(constB135)) | (~v195(constB135)))))) <=> ((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB135) <=> (~((~v157(constB135)) | (~v195(constB135))))))),
% 16.48/11.72 inference(rewrite,[status(thm)],[])).
% 16.48/11.72 tff(27682,plain,
% 16.48/11.72 ((v194(constB135) <=> (~((~v195(constB135)) | (~v157(constB135))))) <=> (v194(constB135) <=> (~((~v157(constB135)) | (~v195(constB135)))))),
% 16.48/11.72 inference(rewrite,[status(thm)],[])).
% 16.48/11.72 tff(27683,plain,
% 16.48/11.72 (((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB135) <=> (~((~v195(constB135)) | (~v157(constB135)))))) <=> ((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB135) <=> (~((~v157(constB135)) | (~v195(constB135))))))),
% 16.48/11.72 inference(monotonicity,[status(thm)],[27682])).
% 16.48/11.72 tff(27684,plain,
% 16.48/11.72 (((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB135) <=> (~((~v195(constB135)) | (~v157(constB135)))))) <=> ((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB135) <=> (~((~v157(constB135)) | (~v195(constB135))))))),
% 16.48/11.72 inference(transitivity,[status(thm)],[27683, 27681])).
% 16.48/11.72 tff(27685,plain,
% 16.48/11.72 ((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB135) <=> (~((~v195(constB135)) | (~v157(constB135)))))),
% 16.48/11.72 inference(quant_inst,[status(thm)],[])).
% 16.48/11.72 tff(27686,plain,
% 16.48/11.72 ((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB135) <=> (~((~v157(constB135)) | (~v195(constB135)))))),
% 16.48/11.72 inference(modus_ponens,[status(thm)],[27685, 27684])).
% 16.48/11.72 tff(27687,plain,
% 16.48/11.72 (v194(constB135) <=> (~((~v157(constB135)) | (~v195(constB135))))),
% 16.48/11.72 inference(unit_resolution,[status(thm)],[27686, 161])).
% 16.48/11.72 tff(27688,plain,
% 16.48/11.72 ((~![VarCurr: $i] : ((~v195(VarCurr)) <=> v196(VarCurr))) | ((~v195(constB135)) <=> v196(constB135))),
% 16.48/11.72 inference(quant_inst,[status(thm)],[])).
% 16.48/11.72 tff(27689,plain,
% 16.48/11.72 ((~v195(constB135)) <=> v196(constB135)),
% 16.48/11.72 inference(unit_resolution,[status(thm)],[27688, 193])).
% 16.48/11.72 tff(27690,plain,
% 16.48/11.72 ((~![VarCurr: $i] : (v196(VarCurr) <=> (v197(VarCurr) | v26(VarCurr)))) | (v196(constB135) <=> (v197(constB135) | v26(constB135)))),
% 16.48/11.72 inference(quant_inst,[status(thm)],[])).
% 16.48/11.72 tff(27691,plain,
% 16.48/11.72 (v196(constB135) <=> (v197(constB135) | v26(constB135))),
% 16.48/11.72 inference(unit_resolution,[status(thm)],[27690, 202])).
% 16.48/11.72 tff(27692,plain,
% 16.48/11.72 ((~![VarCurr: $i] : (v197(VarCurr) <=> (~((~v39(VarCurr)) | (~v9(VarCurr)))))) | (v197(constB135) <=> (~((~v39(constB135)) | (~v9(constB135)))))),
% 16.48/11.72 inference(quant_inst,[status(thm)],[])).
% 16.48/11.72 tff(27693,plain,
% 16.48/11.72 (v197(constB135) <=> (~((~v39(constB135)) | (~v9(constB135))))),
% 16.48/11.72 inference(unit_resolution,[status(thm)],[27692, 120])).
% 16.48/11.72 tff(27694,plain,
% 16.48/11.72 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | ((~nextState(constB135, constB136)) | (v13(constB136) <=> v9(constB135)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | (~nextState(constB135, constB136)) | (v13(constB136) <=> v9(constB135)))),
% 16.48/11.72 inference(rewrite,[status(thm)],[])).
% 16.48/11.72 tff(27695,plain,
% 16.48/11.72 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | ((~nextState(constB135, constB136)) | (v13(constB136) <=> v9(constB135)))),
% 16.48/11.72 inference(quant_inst,[status(thm)],[])).
% 16.48/11.72 tff(27696,plain,
% 16.48/11.72 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | (~nextState(constB135, constB136)) | (v13(constB136) <=> v9(constB135))),
% 16.48/11.72 inference(modus_ponens,[status(thm)],[27695, 27694])).
% 16.48/11.72 tff(27697,plain,
% 16.48/11.72 (v13(constB136) <=> v9(constB135)),
% 16.48/11.72 inference(unit_resolution,[status(thm)],[27696, 14213, 216])).
% 16.48/11.72 tff(27698,plain,
% 16.48/11.72 ((~![VarNext: $i] : (v6(VarNext) <=> v13(VarNext))) | (v6(constB136) <=> v13(constB136))),
% 16.48/11.72 inference(quant_inst,[status(thm)],[])).
% 16.48/11.72 tff(27699,plain,
% 16.48/11.72 (v6(constB136) <=> v13(constB136)),
% 16.48/11.72 inference(unit_resolution,[status(thm)],[27698, 230])).
% 16.48/11.72 tff(27700,plain,
% 16.48/11.72 ((~![VarCurr: $i] : ((~v21(VarCurr)) <=> v6(VarCurr))) | ((~v21(constB136)) <=> v6(constB136))),
% 16.48/11.72 inference(quant_inst,[status(thm)],[])).
% 16.48/11.72 tff(27701,plain,
% 16.48/11.72 ((~v21(constB136)) <=> v6(constB136)),
% 16.48/11.72 inference(unit_resolution,[status(thm)],[27700, 239])).
% 16.48/11.72 tff(27702,plain,
% 16.48/11.72 ((~![VarCurr: $i] : (v19(VarCurr) <=> (v20(VarCurr) | v21(VarCurr)))) | (v19(constB136) <=> (v20(constB136) | v21(constB136)))),
% 16.48/11.72 inference(quant_inst,[status(thm)],[])).
% 16.48/11.72 tff(27703,plain,
% 16.48/11.72 (v19(constB136) <=> (v20(constB136) | v21(constB136))),
% 16.48/11.72 inference(unit_resolution,[status(thm)],[27702, 248])).
% 16.48/11.72 tff(27704,plain,
% 16.48/11.72 ((~![VarCurr: $i] : (v18(VarCurr) <=> (~((~v19(VarCurr)) | (~v22(VarCurr)))))) | (v18(constB136) <=> (~((~v19(constB136)) | (~v22(constB136)))))),
% 16.48/11.72 inference(quant_inst,[status(thm)],[])).
% 16.48/11.72 tff(27705,plain,
% 16.48/11.72 (v18(constB136) <=> (~((~v19(constB136)) | (~v22(constB136))))),
% 16.48/11.72 inference(unit_resolution,[status(thm)],[27704, 260])).
% 16.48/11.72 tff(27706,plain,
% 16.48/11.72 ((~![VarCurr: $i] : ((~v4(VarCurr)) <=> v18(VarCurr))) | ((~v4(constB136)) <=> v18(constB136))),
% 16.48/11.72 inference(quant_inst,[status(thm)],[])).
% 16.48/11.72 tff(27707,plain,
% 16.48/11.72 ((~v4(constB136)) <=> v18(constB136)),
% 16.48/11.72 inference(unit_resolution,[status(thm)],[27706, 269])).
% 16.48/11.72 tff(27708,plain,
% 16.48/11.72 ((~![VarCurr: $i] : v4(VarCurr)) | v4(constB136)),
% 16.48/11.72 inference(quant_inst,[status(thm)],[])).
% 16.48/11.72 tff(27709,plain,
% 16.48/11.72 (v4(constB136)),
% 16.48/11.72 inference(unit_resolution,[status(thm)],[27708, 278])).
% 16.48/11.72 tff(27710,plain,
% 16.48/11.72 ((~((~v4(constB136)) <=> v18(constB136))) | (~v4(constB136)) | (~v18(constB136))),
% 16.48/11.72 inference(tautology,[status(thm)],[])).
% 16.48/11.72 tff(27711,plain,
% 16.48/11.72 (~v18(constB136)),
% 16.48/11.72 inference(unit_resolution,[status(thm)],[27710, 27709, 27707])).
% 16.48/11.72 tff(27712,plain,
% 16.48/11.72 ((~(v18(constB136) <=> (~((~v19(constB136)) | (~v22(constB136)))))) | v18(constB136) | ((~v19(constB136)) | (~v22(constB136)))),
% 16.48/11.72 inference(tautology,[status(thm)],[])).
% 16.48/11.72 tff(27713,plain,
% 16.48/11.72 ((~v19(constB136)) | (~v22(constB136))),
% 16.48/11.72 inference(unit_resolution,[status(thm)],[27712, 27711, 27705])).
% 16.48/11.72 tff(27714,plain,
% 16.48/11.72 ((~![VarCurr: $i] : (v22(VarCurr) <=> (v1(VarCurr) | v6(VarCurr)))) | (v22(constB136) <=> (v1(constB136) | v6(constB136)))),
% 16.48/11.72 inference(quant_inst,[status(thm)],[])).
% 16.48/11.72 tff(27715,plain,
% 16.48/11.72 (v22(constB136) <=> (v1(constB136) | v6(constB136))),
% 16.48/11.72 inference(unit_resolution,[status(thm)],[27714, 291])).
% 16.48/11.72 tff(27716,plain,
% 16.48/11.72 ((v1(constB136) | v6(constB136)) | (~v1(constB136))),
% 16.48/11.72 inference(tautology,[status(thm)],[])).
% 16.48/11.72 tff(27717,plain,
% 16.48/11.72 (v1(constB136) | v6(constB136)),
% 16.48/11.72 inference(unit_resolution,[status(thm)],[27716, 14243])).
% 16.48/11.72 tff(27718,plain,
% 16.48/11.72 ((~(v22(constB136) <=> (v1(constB136) | v6(constB136)))) | v22(constB136) | (~(v1(constB136) | v6(constB136)))),
% 16.48/11.72 inference(tautology,[status(thm)],[])).
% 16.48/11.72 tff(27719,plain,
% 16.48/11.72 ((~(v22(constB136) <=> (v1(constB136) | v6(constB136)))) | v22(constB136)),
% 16.48/11.72 inference(unit_resolution,[status(thm)],[27718, 27717])).
% 16.48/11.72 tff(27720,plain,
% 16.48/11.72 (v22(constB136)),
% 16.48/11.72 inference(unit_resolution,[status(thm)],[27719, 27715])).
% 16.48/11.72 tff(27721,plain,
% 16.48/11.72 ((~((~v19(constB136)) | (~v22(constB136)))) | (~v19(constB136)) | (~v22(constB136))),
% 16.48/11.72 inference(tautology,[status(thm)],[])).
% 16.48/11.72 tff(27722,plain,
% 16.48/11.72 ((~((~v19(constB136)) | (~v22(constB136)))) | (~v19(constB136))),
% 16.48/11.72 inference(unit_resolution,[status(thm)],[27721, 27720])).
% 16.48/11.72 tff(27723,plain,
% 16.48/11.72 (~v19(constB136)),
% 16.48/11.72 inference(unit_resolution,[status(thm)],[27722, 27713])).
% 16.48/11.72 tff(27724,plain,
% 16.48/11.72 ((~(v19(constB136) <=> (v20(constB136) | v21(constB136)))) | v19(constB136) | (~(v20(constB136) | v21(constB136)))),
% 16.48/11.72 inference(tautology,[status(thm)],[])).
% 16.48/11.72 tff(27725,plain,
% 16.48/11.72 (~(v20(constB136) | v21(constB136))),
% 16.48/11.72 inference(unit_resolution,[status(thm)],[27724, 27723, 27703])).
% 16.48/11.72 tff(27726,plain,
% 16.48/11.72 ((v20(constB136) | v21(constB136)) | (~v21(constB136))),
% 16.48/11.72 inference(tautology,[status(thm)],[])).
% 16.48/11.72 tff(27727,plain,
% 16.48/11.72 (~v21(constB136)),
% 16.48/11.72 inference(unit_resolution,[status(thm)],[27726, 27725])).
% 16.48/11.72 tff(27728,plain,
% 16.48/11.72 ((~((~v21(constB136)) <=> v6(constB136))) | v21(constB136) | v6(constB136)),
% 16.48/11.72 inference(tautology,[status(thm)],[])).
% 16.48/11.72 tff(27729,plain,
% 16.48/11.72 (v6(constB136)),
% 16.48/11.72 inference(unit_resolution,[status(thm)],[27728, 27727, 27701])).
% 16.48/11.72 tff(27730,plain,
% 16.48/11.72 ((~(v6(constB136) <=> v13(constB136))) | (~v6(constB136)) | v13(constB136)),
% 16.48/11.72 inference(tautology,[status(thm)],[])).
% 16.48/11.72 tff(27731,plain,
% 16.48/11.72 (v13(constB136)),
% 16.48/11.72 inference(unit_resolution,[status(thm)],[27730, 27729, 27699])).
% 16.48/11.72 tff(27732,plain,
% 16.48/11.72 ((~(v13(constB136) <=> v9(constB135))) | (~v13(constB136)) | v9(constB135)),
% 16.48/11.72 inference(tautology,[status(thm)],[])).
% 16.48/11.72 tff(27733,plain,
% 16.48/11.72 (v9(constB135)),
% 16.48/11.72 inference(unit_resolution,[status(thm)],[27732, 27731, 27697])).
% 16.48/11.72 tff(27734,plain,
% 16.48/11.72 ((~![VarCurr: $i] : ((~v39(VarCurr)) <=> v1(VarCurr))) | ((~v39(constB135)) <=> v1(constB135))),
% 16.48/11.72 inference(quant_inst,[status(thm)],[])).
% 16.48/11.72 tff(27735,plain,
% 16.48/11.72 ((~v39(constB135)) <=> v1(constB135)),
% 16.48/11.72 inference(unit_resolution,[status(thm)],[27734, 129])).
% 16.48/11.72 tff(27736,plain,
% 16.48/11.72 ((~((~v39(constB135)) <=> v1(constB135))) | v39(constB135) | v1(constB135)),
% 16.48/11.72 inference(tautology,[status(thm)],[])).
% 16.48/11.72 tff(27737,plain,
% 16.48/11.72 ((~((~v39(constB135)) <=> v1(constB135))) | v39(constB135)),
% 16.48/11.72 inference(unit_resolution,[status(thm)],[27736, 14235])).
% 16.48/11.72 tff(27738,plain,
% 16.48/11.72 (v39(constB135)),
% 16.48/11.72 inference(unit_resolution,[status(thm)],[27737, 27735])).
% 16.48/11.72 tff(27739,plain,
% 16.48/11.72 ((~((~v39(constB135)) | (~v9(constB135)))) | (~v39(constB135)) | (~v9(constB135))),
% 16.48/11.72 inference(tautology,[status(thm)],[])).
% 16.48/11.72 tff(27740,plain,
% 16.48/11.72 ((~((~v39(constB135)) | (~v9(constB135)))) | (~v9(constB135))),
% 16.48/11.72 inference(unit_resolution,[status(thm)],[27739, 27738])).
% 16.48/11.72 tff(27741,plain,
% 16.48/11.72 (~((~v39(constB135)) | (~v9(constB135)))),
% 16.48/11.72 inference(unit_resolution,[status(thm)],[27740, 27733])).
% 16.48/11.72 tff(27742,plain,
% 16.48/11.72 ((~(v197(constB135) <=> (~((~v39(constB135)) | (~v9(constB135)))))) | v197(constB135) | ((~v39(constB135)) | (~v9(constB135)))),
% 16.48/11.72 inference(tautology,[status(thm)],[])).
% 16.48/11.72 tff(27743,plain,
% 16.48/11.72 (v197(constB135)),
% 16.48/11.72 inference(unit_resolution,[status(thm)],[27742, 27741, 27693])).
% 16.48/11.72 tff(27744,plain,
% 16.48/11.72 ((v197(constB135) | v26(constB135)) | (~v197(constB135))),
% 16.48/11.72 inference(tautology,[status(thm)],[])).
% 16.48/11.72 tff(27745,plain,
% 16.48/11.72 (v197(constB135) | v26(constB135)),
% 16.48/11.72 inference(unit_resolution,[status(thm)],[27744, 27743])).
% 16.48/11.72 tff(27746,plain,
% 16.48/11.72 ((~(v196(constB135) <=> (v197(constB135) | v26(constB135)))) | v196(constB135) | (~(v197(constB135) | v26(constB135)))),
% 16.48/11.72 inference(tautology,[status(thm)],[])).
% 16.48/11.72 tff(27747,plain,
% 16.48/11.72 (v196(constB135)),
% 16.48/11.72 inference(unit_resolution,[status(thm)],[27746, 27745, 27691])).
% 16.48/11.72 tff(27748,plain,
% 16.48/11.72 ((~((~v195(constB135)) <=> v196(constB135))) | (~v195(constB135)) | (~v196(constB135))),
% 16.48/11.72 inference(tautology,[status(thm)],[])).
% 16.48/11.72 tff(27749,plain,
% 16.48/11.72 (~v195(constB135)),
% 16.48/11.72 inference(unit_resolution,[status(thm)],[27748, 27747, 27689])).
% 16.48/11.72 tff(27750,plain,
% 16.48/11.72 (((~v157(constB135)) | (~v195(constB135))) | v195(constB135)),
% 16.48/11.72 inference(tautology,[status(thm)],[])).
% 16.48/11.72 tff(27751,plain,
% 16.48/11.72 ((~v157(constB135)) | (~v195(constB135))),
% 16.48/11.72 inference(unit_resolution,[status(thm)],[27750, 27749])).
% 16.48/11.72 tff(27752,plain,
% 16.48/11.72 ((~(v194(constB135) <=> (~((~v157(constB135)) | (~v195(constB135)))))) | (~v194(constB135)) | (~((~v157(constB135)) | (~v195(constB135))))),
% 16.48/11.72 inference(tautology,[status(thm)],[])).
% 16.48/11.72 tff(27753,plain,
% 16.48/11.72 (~v194(constB135)),
% 16.48/11.72 inference(unit_resolution,[status(thm)],[27752, 27751, 27687])).
% 16.48/11.72 tff(27754,plain,
% 16.48/11.72 ((~![VarCurr: $i] : (v198(VarCurr) <=> (~((~v199(VarCurr)) | (~v200(VarCurr)))))) | (v198(constB135) <=> (~((~v199(constB135)) | (~v200(constB135)))))),
% 16.48/11.72 inference(quant_inst,[status(thm)],[])).
% 16.48/11.72 tff(27755,plain,
% 16.48/11.72 (v198(constB135) <=> (~((~v199(constB135)) | (~v200(constB135))))),
% 16.48/11.72 inference(unit_resolution,[status(thm)],[27754, 96])).
% 16.48/11.72 tff(27756,plain,
% 16.48/11.72 ((~![VarCurr: $i] : (v200(VarCurr) <=> (~((~v197(VarCurr)) | (~v201(VarCurr)))))) | (v200(constB135) <=> (~((~v197(constB135)) | (~v201(constB135)))))),
% 16.48/11.72 inference(quant_inst,[status(thm)],[])).
% 16.48/11.72 tff(27757,plain,
% 16.48/11.72 (v200(constB135) <=> (~((~v197(constB135)) | (~v201(constB135))))),
% 16.48/11.72 inference(unit_resolution,[status(thm)],[27756, 108])).
% 16.48/11.72 tff(27758,plain,
% 16.48/11.72 ((~![VarCurr: $i] : (v201(VarCurr) <=> (~((~v159(VarCurr)) | (~v161(VarCurr)))))) | (v201(constB135) <=> (~((~v159(constB135)) | (~v161(constB135)))))),
% 16.48/11.72 inference(quant_inst,[status(thm)],[])).
% 16.48/11.72 tff(27759,plain,
% 16.48/11.72 (v201(constB135) <=> (~((~v159(constB135)) | (~v161(constB135))))),
% 16.48/11.72 inference(unit_resolution,[status(thm)],[27758, 348])).
% 16.48/11.72 tff(27760,plain,
% 16.48/11.72 ((~![VarCurr: $i] : (v161(VarCurr) <=> v163(VarCurr))) | (v161(constB135) <=> v163(constB135))),
% 16.48/11.72 inference(quant_inst,[status(thm)],[])).
% 16.48/11.73 tff(27761,plain,
% 16.48/11.73 (v161(constB135) <=> v163(constB135)),
% 16.48/11.73 inference(unit_resolution,[status(thm)],[27760, 357])).
% 16.48/11.73 tff(27762,plain,
% 16.48/11.73 ((~![VarCurr: $i] : (v171(VarCurr) <=> (v142(VarCurr) | v150(VarCurr)))) | (v171(constB135) <=> (v142(constB135) | v150(constB135)))),
% 16.48/11.73 inference(quant_inst,[status(thm)],[])).
% 16.48/11.73 tff(27763,plain,
% 16.48/11.73 (v171(constB135) <=> (v142(constB135) | v150(constB135))),
% 16.48/11.73 inference(unit_resolution,[status(thm)],[27762, 369])).
% 16.48/11.73 tff(27764,plain,
% 16.48/11.73 ((~![VarCurr: $i] : (v142(VarCurr) <=> (v143(VarCurr) | v144(VarCurr)))) | (v142(constB135) <=> (v143(constB135) | v144(constB135)))),
% 16.48/11.73 inference(quant_inst,[status(thm)],[])).
% 16.48/11.73 tff(27765,plain,
% 16.48/11.73 (v142(constB135) <=> (v143(constB135) | v144(constB135))),
% 16.48/11.73 inference(unit_resolution,[status(thm)],[27764, 378])).
% 16.48/11.73 tff(27766,plain,
% 16.48/11.73 (((~![VarCurr: $i] : (v144(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex2)))))) | (v144(constB135) <=> (~((~v88(constB135, bitIndex2)) | (~v88(constB135, bitIndex1)) | v88(constB135, bitIndex0))))) <=> ((~![VarCurr: $i] : (v144(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex2)))))) | (v144(constB135) <=> (~((~v88(constB135, bitIndex2)) | (~v88(constB135, bitIndex1)) | v88(constB135, bitIndex0)))))),
% 16.48/11.73 inference(rewrite,[status(thm)],[])).
% 16.48/11.73 tff(27767,plain,
% 16.48/11.73 ((v144(constB135) <=> (~(v88(constB135, bitIndex0) | (~v88(constB135, bitIndex1)) | (~v88(constB135, bitIndex2))))) <=> (v144(constB135) <=> (~((~v88(constB135, bitIndex2)) | (~v88(constB135, bitIndex1)) | v88(constB135, bitIndex0))))),
% 16.48/11.73 inference(rewrite,[status(thm)],[])).
% 16.48/11.73 tff(27768,plain,
% 16.48/11.73 (((~![VarCurr: $i] : (v144(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex2)))))) | (v144(constB135) <=> (~(v88(constB135, bitIndex0) | (~v88(constB135, bitIndex1)) | (~v88(constB135, bitIndex2)))))) <=> ((~![VarCurr: $i] : (v144(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex2)))))) | (v144(constB135) <=> (~((~v88(constB135, bitIndex2)) | (~v88(constB135, bitIndex1)) | v88(constB135, bitIndex0)))))),
% 16.48/11.73 inference(monotonicity,[status(thm)],[27767])).
% 16.48/11.73 tff(27769,plain,
% 16.48/11.73 (((~![VarCurr: $i] : (v144(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex2)))))) | (v144(constB135) <=> (~(v88(constB135, bitIndex0) | (~v88(constB135, bitIndex1)) | (~v88(constB135, bitIndex2)))))) <=> ((~![VarCurr: $i] : (v144(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex2)))))) | (v144(constB135) <=> (~((~v88(constB135, bitIndex2)) | (~v88(constB135, bitIndex1)) | v88(constB135, bitIndex0)))))),
% 16.48/11.73 inference(transitivity,[status(thm)],[27768, 27766])).
% 16.48/11.73 tff(27770,plain,
% 16.48/11.73 ((~![VarCurr: $i] : (v144(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex2)))))) | (v144(constB135) <=> (~(v88(constB135, bitIndex0) | (~v88(constB135, bitIndex1)) | (~v88(constB135, bitIndex2)))))),
% 16.48/11.73 inference(quant_inst,[status(thm)],[])).
% 16.48/11.73 tff(27771,plain,
% 16.48/11.73 ((~![VarCurr: $i] : (v144(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex2)))))) | (v144(constB135) <=> (~((~v88(constB135, bitIndex2)) | (~v88(constB135, bitIndex1)) | v88(constB135, bitIndex0))))),
% 16.48/11.73 inference(modus_ponens,[status(thm)],[27770, 27769])).
% 16.48/11.73 tff(27772,plain,
% 16.48/11.73 (v144(constB135) <=> (~((~v88(constB135, bitIndex2)) | (~v88(constB135, bitIndex1)) | v88(constB135, bitIndex0)))),
% 16.48/11.73 inference(unit_resolution,[status(thm)],[27771, 393])).
% 16.48/11.73 tff(27773,plain,
% 16.48/11.73 (((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | ((~less_3(bitIndex2)) | (v88(constB135, bitIndex2) <=> v90(constB135, bitIndex2)))) <=> ((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | (~less_3(bitIndex2)) | (v88(constB135, bitIndex2) <=> v90(constB135, bitIndex2)))),
% 16.48/11.73 inference(rewrite,[status(thm)],[])).
% 16.48/11.73 tff(27774,plain,
% 16.48/11.73 ((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | ((~less_3(bitIndex2)) | (v88(constB135, bitIndex2) <=> v90(constB135, bitIndex2)))),
% 16.48/11.73 inference(quant_inst,[status(thm)],[])).
% 16.48/11.73 tff(27775,plain,
% 16.48/11.73 ((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | (~less_3(bitIndex2)) | (v88(constB135, bitIndex2) <=> v90(constB135, bitIndex2))),
% 16.48/11.73 inference(modus_ponens,[status(thm)],[27774, 27773])).
% 16.48/11.73 tff(27776,plain,
% 16.48/11.73 (v88(constB135, bitIndex2) <=> v90(constB135, bitIndex2)),
% 16.48/11.73 inference(unit_resolution,[status(thm)],[27775, 413, 410])).
% 16.48/11.73 tff(27777,plain,
% 16.48/11.73 ((~(v88(constB135, bitIndex2) <=> v90(constB135, bitIndex2))) | v88(constB135, bitIndex2) | (~v90(constB135, bitIndex2))),
% 16.48/11.73 inference(tautology,[status(thm)],[])).
% 16.48/11.73 tff(27778,plain,
% 16.48/11.73 (v88(constB135, bitIndex2)),
% 16.48/11.73 inference(unit_resolution,[status(thm)],[27777, 19363, 27776])).
% 16.48/11.73 tff(27779,plain,
% 16.48/11.73 (((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | ((~less_3(bitIndex0)) | (v88(constB135, bitIndex0) <=> v90(constB135, bitIndex0)))) <=> ((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | (~less_3(bitIndex0)) | (v88(constB135, bitIndex0) <=> v90(constB135, bitIndex0)))),
% 16.48/11.73 inference(rewrite,[status(thm)],[])).
% 16.48/11.73 tff(27780,plain,
% 16.48/11.73 ((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | ((~less_3(bitIndex0)) | (v88(constB135, bitIndex0) <=> v90(constB135, bitIndex0)))),
% 16.48/11.73 inference(quant_inst,[status(thm)],[])).
% 16.48/11.73 tff(27781,plain,
% 16.48/11.73 ((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | (~less_3(bitIndex0)) | (v88(constB135, bitIndex0) <=> v90(constB135, bitIndex0))),
% 16.48/11.73 inference(modus_ponens,[status(thm)],[27780, 27779])).
% 16.48/11.73 tff(27782,plain,
% 16.48/11.73 (v88(constB135, bitIndex0) <=> v90(constB135, bitIndex0)),
% 16.48/11.73 inference(unit_resolution,[status(thm)],[27781, 5004, 410])).
% 16.48/11.73 tff(27783,plain,
% 16.48/11.73 ((~(v88(constB135, bitIndex0) <=> v90(constB135, bitIndex0))) | (~v88(constB135, bitIndex0)) | v90(constB135, bitIndex0)),
% 16.48/11.73 inference(tautology,[status(thm)],[])).
% 16.48/11.73 tff(27784,plain,
% 16.48/11.73 (~v88(constB135, bitIndex0)),
% 16.48/11.73 inference(unit_resolution,[status(thm)],[27783, 19394, 27782])).
% 16.48/11.73 tff(27785,plain,
% 16.48/11.73 (((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | ((~less_3(bitIndex1)) | (v88(constB135, bitIndex1) <=> v90(constB135, bitIndex1)))) <=> ((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | (~less_3(bitIndex1)) | (v88(constB135, bitIndex1) <=> v90(constB135, bitIndex1)))),
% 16.48/11.73 inference(rewrite,[status(thm)],[])).
% 16.48/11.73 tff(27786,plain,
% 16.48/11.73 ((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | ((~less_3(bitIndex1)) | (v88(constB135, bitIndex1) <=> v90(constB135, bitIndex1)))),
% 16.48/11.73 inference(quant_inst,[status(thm)],[])).
% 16.48/11.73 tff(27787,plain,
% 16.48/11.73 ((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | (~less_3(bitIndex1)) | (v88(constB135, bitIndex1) <=> v90(constB135, bitIndex1))),
% 16.48/11.73 inference(modus_ponens,[status(thm)],[27786, 27785])).
% 16.48/11.73 tff(27788,plain,
% 16.48/11.73 (v88(constB135, bitIndex1) <=> v90(constB135, bitIndex1)),
% 16.48/11.73 inference(unit_resolution,[status(thm)],[27787, 5017, 410])).
% 16.48/11.73 tff(27789,plain,
% 16.48/11.73 ((~(v88(constB135, bitIndex1) <=> v90(constB135, bitIndex1))) | v88(constB135, bitIndex1) | (~v90(constB135, bitIndex1))),
% 16.48/11.73 inference(tautology,[status(thm)],[])).
% 16.48/11.73 tff(27790,plain,
% 16.48/11.73 (v88(constB135, bitIndex1)),
% 16.48/11.73 inference(unit_resolution,[status(thm)],[27789, 19425, 27788])).
% 16.48/11.73 tff(27791,plain,
% 16.48/11.73 ((~((~v88(constB135, bitIndex2)) | (~v88(constB135, bitIndex1)) | v88(constB135, bitIndex0))) | (~v88(constB135, bitIndex2)) | (~v88(constB135, bitIndex1)) | v88(constB135, bitIndex0)),
% 16.48/11.73 inference(tautology,[status(thm)],[])).
% 16.48/11.73 tff(27792,plain,
% 16.48/11.73 (~((~v88(constB135, bitIndex2)) | (~v88(constB135, bitIndex1)) | v88(constB135, bitIndex0))),
% 16.48/11.73 inference(unit_resolution,[status(thm)],[27791, 27790, 27784, 27778])).
% 16.48/11.73 tff(27793,plain,
% 16.48/11.73 ((~(v144(constB135) <=> (~((~v88(constB135, bitIndex2)) | (~v88(constB135, bitIndex1)) | v88(constB135, bitIndex0))))) | v144(constB135) | ((~v88(constB135, bitIndex2)) | (~v88(constB135, bitIndex1)) | v88(constB135, bitIndex0))),
% 16.48/11.73 inference(tautology,[status(thm)],[])).
% 16.48/11.73 tff(27794,plain,
% 16.48/11.73 (v144(constB135)),
% 16.48/11.73 inference(unit_resolution,[status(thm)],[27793, 27792, 27772])).
% 16.48/11.73 tff(27795,plain,
% 16.48/11.73 ((v143(constB135) | v144(constB135)) | (~v144(constB135))),
% 16.48/11.73 inference(tautology,[status(thm)],[])).
% 16.48/11.73 tff(27796,plain,
% 16.48/11.73 (v143(constB135) | v144(constB135)),
% 16.48/11.73 inference(unit_resolution,[status(thm)],[27795, 27794])).
% 16.48/11.73 tff(27797,plain,
% 16.48/11.73 ((~(v142(constB135) <=> (v143(constB135) | v144(constB135)))) | v142(constB135) | (~(v143(constB135) | v144(constB135)))),
% 16.48/11.73 inference(tautology,[status(thm)],[])).
% 16.48/11.73 tff(27798,plain,
% 16.48/11.73 (v142(constB135)),
% 16.48/11.73 inference(unit_resolution,[status(thm)],[27797, 27796, 27765])).
% 16.48/11.73 tff(27799,plain,
% 16.48/11.73 ((v142(constB135) | v150(constB135)) | (~v142(constB135))),
% 16.48/11.73 inference(tautology,[status(thm)],[])).
% 16.48/11.73 tff(27800,plain,
% 16.48/11.73 (v142(constB135) | v150(constB135)),
% 16.48/11.73 inference(unit_resolution,[status(thm)],[27799, 27798])).
% 16.48/11.73 tff(27801,plain,
% 16.48/11.73 ((~(v171(constB135) <=> (v142(constB135) | v150(constB135)))) | v171(constB135) | (~(v142(constB135) | v150(constB135)))),
% 16.48/11.73 inference(tautology,[status(thm)],[])).
% 16.48/11.73 tff(27802,plain,
% 16.48/11.73 (v171(constB135)),
% 16.48/11.73 inference(unit_resolution,[status(thm)],[27801, 27800, 27763])).
% 16.48/11.73 tff(27803,plain,
% 16.48/11.73 (((~![VarCurr: $i] : ((~v171(VarCurr)) | (~v170(VarCurr)))) | ((~v170(constB135)) | (~v171(constB135)))) <=> ((~![VarCurr: $i] : ((~v171(VarCurr)) | (~v170(VarCurr)))) | (~v170(constB135)) | (~v171(constB135)))),
% 16.48/11.73 inference(rewrite,[status(thm)],[])).
% 16.48/11.73 tff(27804,plain,
% 16.48/11.73 (((~v171(constB135)) | (~v170(constB135))) <=> ((~v170(constB135)) | (~v171(constB135)))),
% 16.48/11.73 inference(rewrite,[status(thm)],[])).
% 16.48/11.73 tff(27805,plain,
% 16.48/11.73 (((~![VarCurr: $i] : ((~v171(VarCurr)) | (~v170(VarCurr)))) | ((~v171(constB135)) | (~v170(constB135)))) <=> ((~![VarCurr: $i] : ((~v171(VarCurr)) | (~v170(VarCurr)))) | ((~v170(constB135)) | (~v171(constB135))))),
% 16.48/11.73 inference(monotonicity,[status(thm)],[27804])).
% 16.48/11.73 tff(27806,plain,
% 16.48/11.73 (((~![VarCurr: $i] : ((~v171(VarCurr)) | (~v170(VarCurr)))) | ((~v171(constB135)) | (~v170(constB135)))) <=> ((~![VarCurr: $i] : ((~v171(VarCurr)) | (~v170(VarCurr)))) | (~v170(constB135)) | (~v171(constB135)))),
% 16.48/11.73 inference(transitivity,[status(thm)],[27805, 27803])).
% 16.48/11.73 tff(27807,plain,
% 16.48/11.73 ((~![VarCurr: $i] : ((~v171(VarCurr)) | (~v170(VarCurr)))) | ((~v171(constB135)) | (~v170(constB135)))),
% 16.48/11.73 inference(quant_inst,[status(thm)],[])).
% 16.48/11.73 tff(27808,plain,
% 16.48/11.73 ((~![VarCurr: $i] : ((~v171(VarCurr)) | (~v170(VarCurr)))) | (~v170(constB135)) | (~v171(constB135))),
% 16.48/11.73 inference(modus_ponens,[status(thm)],[27807, 27806])).
% 16.48/11.73 tff(27809,plain,
% 16.48/11.73 ((~v170(constB135)) | (~v171(constB135))),
% 16.48/11.73 inference(unit_resolution,[status(thm)],[27808, 13061])).
% 16.48/11.73 tff(27810,plain,
% 16.48/11.73 (~v170(constB135)),
% 16.48/11.73 inference(unit_resolution,[status(thm)],[27809, 27802])).
% 16.48/11.73 tff(27811,plain,
% 16.48/11.73 ((~![VarCurr: $i] : (v166(VarCurr) <=> (v145(VarCurr) | v167(VarCurr)))) | (v166(constB135) <=> (v145(constB135) | v167(constB135)))),
% 16.48/11.73 inference(quant_inst,[status(thm)],[])).
% 16.48/11.73 tff(27812,plain,
% 16.48/11.73 (v166(constB135) <=> (v145(constB135) | v167(constB135))),
% 16.48/11.73 inference(unit_resolution,[status(thm)],[27811, 13079])).
% 16.48/11.73 tff(27813,plain,
% 16.48/11.73 ((~![VarCurr: $i] : (v167(VarCurr) <=> (v142(VarCurr) | v168(VarCurr)))) | (v167(constB135) <=> (v142(constB135) | v168(constB135)))),
% 16.48/11.73 inference(quant_inst,[status(thm)],[])).
% 16.48/11.73 tff(27814,plain,
% 16.48/11.73 (v167(constB135) <=> (v142(constB135) | v168(constB135))),
% 16.48/11.73 inference(unit_resolution,[status(thm)],[27813, 13091])).
% 16.48/11.73 tff(27815,plain,
% 16.48/11.73 ((v142(constB135) | v168(constB135)) | (~v142(constB135))),
% 16.48/11.73 inference(tautology,[status(thm)],[])).
% 16.48/11.73 tff(27816,plain,
% 16.48/11.73 (v142(constB135) | v168(constB135)),
% 16.48/11.73 inference(unit_resolution,[status(thm)],[27815, 27798])).
% 16.48/11.73 tff(27817,plain,
% 16.48/11.73 ((~(v167(constB135) <=> (v142(constB135) | v168(constB135)))) | v167(constB135) | (~(v142(constB135) | v168(constB135)))),
% 16.48/11.73 inference(tautology,[status(thm)],[])).
% 16.48/11.73 tff(27818,plain,
% 16.48/11.73 (v167(constB135)),
% 16.48/11.73 inference(unit_resolution,[status(thm)],[27817, 27816, 27814])).
% 16.48/11.73 tff(27819,plain,
% 16.48/11.73 ((v145(constB135) | v167(constB135)) | (~v167(constB135))),
% 16.48/11.73 inference(tautology,[status(thm)],[])).
% 16.48/11.73 tff(27820,plain,
% 16.48/11.73 (v145(constB135) | v167(constB135)),
% 16.48/11.73 inference(unit_resolution,[status(thm)],[27819, 27818])).
% 16.48/11.73 tff(27821,plain,
% 16.48/11.73 ((~(v166(constB135) <=> (v145(constB135) | v167(constB135)))) | v166(constB135) | (~(v145(constB135) | v167(constB135)))),
% 16.48/11.73 inference(tautology,[status(thm)],[])).
% 16.48/11.73 tff(27822,plain,
% 16.48/11.73 (v166(constB135)),
% 16.48/11.73 inference(unit_resolution,[status(thm)],[27821, 27820, 27812])).
% 16.48/11.73 tff(27823,plain,
% 16.48/11.73 (((~![VarNext: $i] : ((~v166(VarNext)) | (v163(VarNext) <=> v170(VarNext)))) | ((~v166(constB135)) | (v163(constB135) <=> v170(constB135)))) <=> ((~![VarNext: $i] : ((~v166(VarNext)) | (v163(VarNext) <=> v170(VarNext)))) | (~v166(constB135)) | (v163(constB135) <=> v170(constB135)))),
% 16.48/11.73 inference(rewrite,[status(thm)],[])).
% 16.48/11.73 tff(27824,plain,
% 16.48/11.73 ((~![VarNext: $i] : ((~v166(VarNext)) | (v163(VarNext) <=> v170(VarNext)))) | ((~v166(constB135)) | (v163(constB135) <=> v170(constB135)))),
% 16.48/11.73 inference(quant_inst,[status(thm)],[])).
% 16.48/11.73 tff(27825,plain,
% 16.48/11.73 ((~![VarNext: $i] : ((~v166(VarNext)) | (v163(VarNext) <=> v170(VarNext)))) | (~v166(constB135)) | (v163(constB135) <=> v170(constB135))),
% 16.48/11.73 inference(modus_ponens,[status(thm)],[27824, 27823])).
% 16.48/11.73 tff(27826,plain,
% 16.48/11.73 ((~v166(constB135)) | (v163(constB135) <=> v170(constB135))),
% 16.48/11.73 inference(unit_resolution,[status(thm)],[27825, 13111])).
% 16.48/11.73 tff(27827,plain,
% 16.48/11.73 (v163(constB135) <=> v170(constB135)),
% 16.48/11.73 inference(unit_resolution,[status(thm)],[27826, 27822])).
% 16.48/11.73 tff(27828,plain,
% 16.48/11.73 ((~(v163(constB135) <=> v170(constB135))) | (~v163(constB135)) | v170(constB135)),
% 16.48/11.73 inference(tautology,[status(thm)],[])).
% 16.48/11.73 tff(27829,plain,
% 16.48/11.73 (~v163(constB135)),
% 16.48/11.73 inference(unit_resolution,[status(thm)],[27828, 27827, 27810])).
% 16.48/11.73 tff(27830,plain,
% 16.48/11.73 ((~(v161(constB135) <=> v163(constB135))) | (~v161(constB135)) | v163(constB135)),
% 16.48/11.73 inference(tautology,[status(thm)],[])).
% 16.48/11.73 tff(27831,plain,
% 16.48/11.73 (~v161(constB135)),
% 16.48/11.73 inference(unit_resolution,[status(thm)],[27830, 27829, 27761])).
% 16.48/11.73 tff(27832,plain,
% 16.48/11.73 (((~v159(constB135)) | (~v161(constB135))) | v161(constB135)),
% 16.48/11.73 inference(tautology,[status(thm)],[])).
% 16.48/11.73 tff(27833,plain,
% 16.48/11.73 ((~v159(constB135)) | (~v161(constB135))),
% 16.48/11.73 inference(unit_resolution,[status(thm)],[27832, 27831])).
% 16.48/11.73 tff(27834,plain,
% 16.48/11.73 ((~(v201(constB135) <=> (~((~v159(constB135)) | (~v161(constB135)))))) | (~v201(constB135)) | (~((~v159(constB135)) | (~v161(constB135))))),
% 16.48/11.73 inference(tautology,[status(thm)],[])).
% 16.48/11.73 tff(27835,plain,
% 16.48/11.73 (~v201(constB135)),
% 16.48/11.73 inference(unit_resolution,[status(thm)],[27834, 27833, 27759])).
% 16.48/11.73 tff(27836,plain,
% 16.48/11.73 (((~v197(constB135)) | (~v201(constB135))) | v201(constB135)),
% 16.48/11.73 inference(tautology,[status(thm)],[])).
% 16.48/11.73 tff(27837,plain,
% 16.48/11.73 ((~v197(constB135)) | (~v201(constB135))),
% 16.48/11.73 inference(unit_resolution,[status(thm)],[27836, 27835])).
% 16.48/11.73 tff(27838,plain,
% 16.48/11.73 ((~(v200(constB135) <=> (~((~v197(constB135)) | (~v201(constB135)))))) | (~v200(constB135)) | (~((~v197(constB135)) | (~v201(constB135))))),
% 16.48/11.73 inference(tautology,[status(thm)],[])).
% 16.48/11.73 tff(27839,plain,
% 16.48/11.73 (~v200(constB135)),
% 16.48/11.73 inference(unit_resolution,[status(thm)],[27838, 27837, 27757])).
% 16.48/11.73 tff(27840,plain,
% 16.48/11.73 (((~v199(constB135)) | (~v200(constB135))) | v200(constB135)),
% 16.48/11.73 inference(tautology,[status(thm)],[])).
% 16.48/11.73 tff(27841,plain,
% 16.48/11.73 ((~v199(constB135)) | (~v200(constB135))),
% 16.48/11.73 inference(unit_resolution,[status(thm)],[27840, 27839])).
% 16.48/11.73 tff(27842,plain,
% 16.48/11.73 ((~(v198(constB135) <=> (~((~v199(constB135)) | (~v200(constB135)))))) | (~v198(constB135)) | (~((~v199(constB135)) | (~v200(constB135))))),
% 16.48/11.73 inference(tautology,[status(thm)],[])).
% 16.48/11.73 tff(27843,plain,
% 16.48/11.73 (~v198(constB135)),
% 16.48/11.73 inference(unit_resolution,[status(thm)],[27842, 27841, 27755])).
% 16.48/11.73 tff(27844,plain,
% 16.48/11.73 ((~(v194(constB135) | v198(constB135))) | v194(constB135) | v198(constB135)),
% 16.48/11.73 inference(tautology,[status(thm)],[])).
% 16.48/11.74 tff(27845,plain,
% 16.48/11.74 (~(v194(constB135) | v198(constB135))),
% 16.48/11.74 inference(unit_resolution,[status(thm)],[27844, 27843, 27753])).
% 16.48/11.74 tff(27846,plain,
% 16.48/11.74 ((~(v191(constB135) <=> (v194(constB135) | v198(constB135)))) | (~v191(constB135)) | (v194(constB135) | v198(constB135))),
% 16.48/11.74 inference(tautology,[status(thm)],[])).
% 16.48/11.74 tff(27847,plain,
% 16.48/11.74 (~v191(constB135)),
% 16.48/11.74 inference(unit_resolution,[status(thm)],[27846, 27845, 27680])).
% 16.48/11.74 tff(27848,plain,
% 16.48/11.74 ((~(v193(constB136) <=> v191(constB135))) | (~v193(constB136)) | v191(constB135)),
% 16.48/11.74 inference(tautology,[status(thm)],[])).
% 16.48/11.74 tff(27849,plain,
% 16.48/11.74 (~v193(constB136)),
% 16.48/11.74 inference(unit_resolution,[status(thm)],[27848, 27847, 27678])).
% 16.48/11.74 tff(27850,plain,
% 16.48/11.74 ((~(v157(constB136) <=> v193(constB136))) | (~v157(constB136)) | v193(constB136)),
% 16.48/11.74 inference(tautology,[status(thm)],[])).
% 16.48/11.74 tff(27851,plain,
% 16.48/11.74 (~v157(constB136)),
% 16.48/11.74 inference(unit_resolution,[status(thm)],[27850, 27849, 27674])).
% 16.48/11.74 tff(27852,plain,
% 16.48/11.74 (((~v157(constB136)) | (~v195(constB136))) | v157(constB136)),
% 16.48/11.74 inference(tautology,[status(thm)],[])).
% 16.48/11.74 tff(27853,plain,
% 16.48/11.74 ((~v157(constB136)) | (~v195(constB136))),
% 16.48/11.74 inference(unit_resolution,[status(thm)],[27852, 27851])).
% 16.48/11.74 tff(27854,plain,
% 16.48/11.74 ((~(v194(constB136) <=> (~((~v157(constB136)) | (~v195(constB136)))))) | (~v194(constB136)) | (~((~v157(constB136)) | (~v195(constB136))))),
% 16.48/11.74 inference(tautology,[status(thm)],[])).
% 16.48/11.74 tff(27855,plain,
% 16.48/11.74 (~v194(constB136)),
% 16.48/11.74 inference(unit_resolution,[status(thm)],[27854, 27853, 27672])).
% 16.48/11.74 tff(27856,plain,
% 16.48/11.74 ((~(v194(constB136) | v198(constB136))) | v194(constB136) | v198(constB136)),
% 16.48/11.74 inference(tautology,[status(thm)],[])).
% 16.48/11.74 tff(27857,plain,
% 16.48/11.74 (~(v194(constB136) | v198(constB136))),
% 16.48/11.74 inference(unit_resolution,[status(thm)],[27856, 27855, 27665])).
% 16.48/11.74 tff(27858,plain,
% 16.48/11.74 ((~(v191(constB136) <=> (v194(constB136) | v198(constB136)))) | (~v191(constB136)) | (v194(constB136) | v198(constB136))),
% 16.48/11.74 inference(tautology,[status(thm)],[])).
% 16.48/11.74 tff(27859,plain,
% 16.48/11.74 (~v191(constB136)),
% 16.48/11.74 inference(unit_resolution,[status(thm)],[27858, 27857, 27640])).
% 16.48/11.74 tff(27860,plain,
% 16.48/11.74 ((~(v193(constB137) <=> v191(constB136))) | (~v193(constB137)) | v191(constB136)),
% 16.48/11.74 inference(tautology,[status(thm)],[])).
% 16.48/11.74 tff(27861,plain,
% 16.48/11.74 (~v193(constB137)),
% 16.48/11.74 inference(unit_resolution,[status(thm)],[27860, 27859, 27638])).
% 16.48/11.74 tff(27862,plain,
% 16.48/11.74 ($false),
% 16.48/11.74 inference(unit_resolution,[status(thm)],[27861, 27634])).
% 16.48/11.74 tff(27863,plain,(~(constB137 = VarCurr!0)), inference(lemma,lemma(discharge,[]))).
% 16.48/11.74 tff(27864,assumption,(constB111 = VarCurr!0), introduced(assumption)).
% 16.48/11.74 tff(27865,plain,
% 16.48/11.74 (v193(constB111) <=> v193(VarCurr!0)),
% 16.48/11.74 inference(monotonicity,[status(thm)],[27864])).
% 16.48/11.74 tff(27866,plain,
% 16.48/11.74 (v193(VarCurr!0) <=> v193(constB111)),
% 16.48/11.74 inference(symmetry,[status(thm)],[27865])).
% 16.48/11.74 tff(27867,plain,
% 16.48/11.74 (v193(constB111)),
% 16.48/11.74 inference(modus_ponens,[status(thm)],[59, 27866])).
% 16.48/11.74 tff(27868,plain,
% 16.48/11.74 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v193(VarNext) <=> v191(VarCurr)))) | ((~nextState(constB110, constB111)) | (v193(constB111) <=> v191(constB110)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v193(VarNext) <=> v191(VarCurr)))) | (~nextState(constB110, constB111)) | (v193(constB111) <=> v191(constB110)))),
% 16.48/11.74 inference(rewrite,[status(thm)],[])).
% 16.48/11.74 tff(27869,plain,
% 16.48/11.74 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v193(VarNext) <=> v191(VarCurr)))) | ((~nextState(constB110, constB111)) | (v193(constB111) <=> v191(constB110)))),
% 16.48/11.74 inference(quant_inst,[status(thm)],[])).
% 16.48/11.74 tff(27870,plain,
% 16.48/11.74 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v193(VarNext) <=> v191(VarCurr)))) | (~nextState(constB110, constB111)) | (v193(constB111) <=> v191(constB110))),
% 16.48/11.74 inference(modus_ponens,[status(thm)],[27869, 27868])).
% 16.48/11.74 tff(27871,plain,
% 16.48/11.74 (v193(constB111) <=> v191(constB110)),
% 16.48/11.74 inference(unit_resolution,[status(thm)],[27870, 15378, 70])).
% 16.48/11.74 tff(27872,plain,
% 16.48/11.74 ((~![VarCurr: $i] : (v191(VarCurr) <=> (v194(VarCurr) | v198(VarCurr)))) | (v191(constB110) <=> (v194(constB110) | v198(constB110)))),
% 16.48/11.74 inference(quant_inst,[status(thm)],[])).
% 16.48/11.74 tff(27873,plain,
% 16.48/11.74 (v191(constB110) <=> (v194(constB110) | v198(constB110))),
% 16.48/11.74 inference(unit_resolution,[status(thm)],[27872, 84])).
% 16.48/11.74 tff(27874,plain,
% 16.48/11.74 ((~![VarCurr: $i] : (v198(VarCurr) <=> (~((~v199(VarCurr)) | (~v200(VarCurr)))))) | (v198(constB110) <=> (~((~v199(constB110)) | (~v200(constB110)))))),
% 16.48/11.74 inference(quant_inst,[status(thm)],[])).
% 16.48/11.74 tff(27875,plain,
% 16.48/11.74 (v198(constB110) <=> (~((~v199(constB110)) | (~v200(constB110))))),
% 16.48/11.74 inference(unit_resolution,[status(thm)],[27874, 96])).
% 16.48/11.74 tff(27876,plain,
% 16.48/11.74 ((~![VarCurr: $i] : (v200(VarCurr) <=> (~((~v197(VarCurr)) | (~v201(VarCurr)))))) | (v200(constB110) <=> (~((~v197(constB110)) | (~v201(constB110)))))),
% 16.48/11.74 inference(quant_inst,[status(thm)],[])).
% 16.48/11.74 tff(27877,plain,
% 16.48/11.74 (v200(constB110) <=> (~((~v197(constB110)) | (~v201(constB110))))),
% 16.48/11.74 inference(unit_resolution,[status(thm)],[27876, 108])).
% 16.48/11.74 tff(27878,plain,
% 16.48/11.74 ((~![VarCurr: $i] : (v197(VarCurr) <=> (~((~v39(VarCurr)) | (~v9(VarCurr)))))) | (v197(constB110) <=> (~((~v39(constB110)) | (~v9(constB110)))))),
% 16.48/11.74 inference(quant_inst,[status(thm)],[])).
% 16.48/11.74 tff(27879,plain,
% 16.48/11.74 (v197(constB110) <=> (~((~v39(constB110)) | (~v9(constB110))))),
% 16.48/11.74 inference(unit_resolution,[status(thm)],[27878, 120])).
% 16.48/11.74 tff(27880,plain,
% 16.48/11.74 ((~![VarCurr: $i] : ((~v39(VarCurr)) <=> v1(VarCurr))) | ((~v39(constB110)) <=> v1(constB110))),
% 16.48/11.74 inference(quant_inst,[status(thm)],[])).
% 16.48/11.74 tff(27881,plain,
% 16.48/11.74 ((~v39(constB110)) <=> v1(constB110)),
% 16.48/11.74 inference(unit_resolution,[status(thm)],[27880, 129])).
% 16.48/11.74 tff(27882,plain,
% 16.48/11.74 ((~((~v39(constB110)) <=> v1(constB110))) | (~v39(constB110)) | (~v1(constB110))),
% 16.48/11.74 inference(tautology,[status(thm)],[])).
% 16.48/11.74 tff(27883,plain,
% 16.48/11.74 ((~((~v39(constB110)) <=> v1(constB110))) | (~v39(constB110))),
% 16.48/11.74 inference(unit_resolution,[status(thm)],[27882, 15440])).
% 16.48/11.74 tff(27884,plain,
% 16.48/11.74 (~v39(constB110)),
% 16.48/11.74 inference(unit_resolution,[status(thm)],[27883, 27881])).
% 16.48/11.74 tff(27885,plain,
% 16.48/11.74 (((~v39(constB110)) | (~v9(constB110))) | v39(constB110)),
% 16.48/11.74 inference(tautology,[status(thm)],[])).
% 16.48/11.74 tff(27886,plain,
% 16.48/11.74 ((~v39(constB110)) | (~v9(constB110))),
% 16.48/11.74 inference(unit_resolution,[status(thm)],[27885, 27884])).
% 16.48/11.74 tff(27887,plain,
% 16.48/11.74 ((~(v197(constB110) <=> (~((~v39(constB110)) | (~v9(constB110)))))) | (~v197(constB110)) | (~((~v39(constB110)) | (~v9(constB110))))),
% 16.48/11.74 inference(tautology,[status(thm)],[])).
% 16.48/11.74 tff(27888,plain,
% 16.48/11.74 ((~(v197(constB110) <=> (~((~v39(constB110)) | (~v9(constB110)))))) | (~v197(constB110))),
% 16.48/11.74 inference(unit_resolution,[status(thm)],[27887, 27886])).
% 16.48/11.74 tff(27889,plain,
% 16.48/11.74 (~v197(constB110)),
% 16.48/11.74 inference(unit_resolution,[status(thm)],[27888, 27879])).
% 16.48/11.74 tff(27890,plain,
% 16.48/11.74 (((~v197(constB110)) | (~v201(constB110))) | v197(constB110)),
% 16.48/11.74 inference(tautology,[status(thm)],[])).
% 16.48/11.74 tff(27891,plain,
% 16.48/11.74 ((~v197(constB110)) | (~v201(constB110))),
% 16.48/11.74 inference(unit_resolution,[status(thm)],[27890, 27889])).
% 16.48/11.74 tff(27892,plain,
% 16.48/11.74 ((~(v200(constB110) <=> (~((~v197(constB110)) | (~v201(constB110)))))) | (~v200(constB110)) | (~((~v197(constB110)) | (~v201(constB110))))),
% 16.48/11.74 inference(tautology,[status(thm)],[])).
% 16.48/11.74 tff(27893,plain,
% 16.48/11.74 ((~(v200(constB110) <=> (~((~v197(constB110)) | (~v201(constB110)))))) | (~v200(constB110))),
% 16.48/11.74 inference(unit_resolution,[status(thm)],[27892, 27891])).
% 16.48/11.74 tff(27894,plain,
% 16.48/11.74 (~v200(constB110)),
% 16.48/11.74 inference(unit_resolution,[status(thm)],[27893, 27877])).
% 16.48/11.74 tff(27895,plain,
% 16.48/11.74 (((~v199(constB110)) | (~v200(constB110))) | v200(constB110)),
% 16.48/11.74 inference(tautology,[status(thm)],[])).
% 16.48/11.74 tff(27896,plain,
% 16.48/11.74 ((~v199(constB110)) | (~v200(constB110))),
% 16.48/11.74 inference(unit_resolution,[status(thm)],[27895, 27894])).
% 16.48/11.74 tff(27897,plain,
% 16.48/11.74 ((~(v198(constB110) <=> (~((~v199(constB110)) | (~v200(constB110)))))) | (~v198(constB110)) | (~((~v199(constB110)) | (~v200(constB110))))),
% 16.48/11.74 inference(tautology,[status(thm)],[])).
% 16.48/11.74 tff(27898,plain,
% 16.48/11.74 (~v198(constB110)),
% 16.48/11.74 inference(unit_resolution,[status(thm)],[27897, 27896, 27875])).
% 16.48/11.74 tff(27899,plain,
% 16.48/11.74 (((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB110) <=> (~((~v157(constB110)) | (~v195(constB110)))))) <=> ((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB110) <=> (~((~v157(constB110)) | (~v195(constB110))))))),
% 16.48/11.74 inference(rewrite,[status(thm)],[])).
% 16.48/11.74 tff(27900,plain,
% 16.48/11.74 ((v194(constB110) <=> (~((~v195(constB110)) | (~v157(constB110))))) <=> (v194(constB110) <=> (~((~v157(constB110)) | (~v195(constB110)))))),
% 16.48/11.74 inference(rewrite,[status(thm)],[])).
% 16.48/11.74 tff(27901,plain,
% 16.48/11.74 (((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB110) <=> (~((~v195(constB110)) | (~v157(constB110)))))) <=> ((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB110) <=> (~((~v157(constB110)) | (~v195(constB110))))))),
% 16.48/11.74 inference(monotonicity,[status(thm)],[27900])).
% 16.48/11.74 tff(27902,plain,
% 16.48/11.74 (((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB110) <=> (~((~v195(constB110)) | (~v157(constB110)))))) <=> ((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB110) <=> (~((~v157(constB110)) | (~v195(constB110))))))),
% 16.48/11.74 inference(transitivity,[status(thm)],[27901, 27899])).
% 16.48/11.74 tff(27903,plain,
% 16.48/11.74 ((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB110) <=> (~((~v195(constB110)) | (~v157(constB110)))))),
% 16.48/11.74 inference(quant_inst,[status(thm)],[])).
% 16.48/11.74 tff(27904,plain,
% 16.48/11.74 ((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB110) <=> (~((~v157(constB110)) | (~v195(constB110)))))),
% 16.48/11.74 inference(modus_ponens,[status(thm)],[27903, 27902])).
% 16.48/11.74 tff(27905,plain,
% 16.48/11.74 (v194(constB110) <=> (~((~v157(constB110)) | (~v195(constB110))))),
% 16.48/11.74 inference(unit_resolution,[status(thm)],[27904, 161])).
% 16.48/11.74 tff(27906,plain,
% 16.48/11.74 ((~![VarNext: $i] : (v157(VarNext) <=> v193(VarNext))) | (v157(constB110) <=> v193(constB110))),
% 16.48/11.74 inference(quant_inst,[status(thm)],[])).
% 16.48/11.74 tff(27907,plain,
% 16.48/11.74 (v157(constB110) <=> v193(constB110)),
% 16.48/11.74 inference(unit_resolution,[status(thm)],[27906, 13])).
% 16.48/11.74 tff(27908,plain,
% 16.48/11.74 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v193(VarNext) <=> v191(VarCurr)))) | ((~nextState(constB109, constB110)) | (v193(constB110) <=> v191(constB109)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v193(VarNext) <=> v191(VarCurr)))) | (~nextState(constB109, constB110)) | (v193(constB110) <=> v191(constB109)))),
% 16.48/11.74 inference(rewrite,[status(thm)],[])).
% 16.48/11.74 tff(27909,plain,
% 16.48/11.74 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v193(VarNext) <=> v191(VarCurr)))) | ((~nextState(constB109, constB110)) | (v193(constB110) <=> v191(constB109)))),
% 16.48/11.74 inference(quant_inst,[status(thm)],[])).
% 16.48/11.74 tff(27910,plain,
% 16.48/11.74 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v193(VarNext) <=> v191(VarCurr)))) | (~nextState(constB109, constB110)) | (v193(constB110) <=> v191(constB109))),
% 16.48/11.74 inference(modus_ponens,[status(thm)],[27909, 27908])).
% 16.48/11.74 tff(27911,plain,
% 16.48/11.74 (v193(constB110) <=> v191(constB109)),
% 16.48/11.74 inference(unit_resolution,[status(thm)],[27910, 15410, 70])).
% 16.48/11.74 tff(27912,plain,
% 16.48/11.74 ((~![VarCurr: $i] : (v191(VarCurr) <=> (v194(VarCurr) | v198(VarCurr)))) | (v191(constB109) <=> (v194(constB109) | v198(constB109)))),
% 16.48/11.74 inference(quant_inst,[status(thm)],[])).
% 16.48/11.74 tff(27913,plain,
% 16.48/11.74 (v191(constB109) <=> (v194(constB109) | v198(constB109))),
% 16.48/11.74 inference(unit_resolution,[status(thm)],[27912, 84])).
% 16.48/11.74 tff(27914,plain,
% 16.48/11.74 (((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB109) <=> (~((~v157(constB109)) | (~v195(constB109)))))) <=> ((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB109) <=> (~((~v157(constB109)) | (~v195(constB109))))))),
% 16.48/11.74 inference(rewrite,[status(thm)],[])).
% 16.48/11.74 tff(27915,plain,
% 16.48/11.74 ((v194(constB109) <=> (~((~v195(constB109)) | (~v157(constB109))))) <=> (v194(constB109) <=> (~((~v157(constB109)) | (~v195(constB109)))))),
% 16.48/11.74 inference(rewrite,[status(thm)],[])).
% 16.48/11.74 tff(27916,plain,
% 16.48/11.74 (((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB109) <=> (~((~v195(constB109)) | (~v157(constB109)))))) <=> ((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB109) <=> (~((~v157(constB109)) | (~v195(constB109))))))),
% 16.48/11.74 inference(monotonicity,[status(thm)],[27915])).
% 16.48/11.74 tff(27917,plain,
% 16.48/11.74 (((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB109) <=> (~((~v195(constB109)) | (~v157(constB109)))))) <=> ((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB109) <=> (~((~v157(constB109)) | (~v195(constB109))))))),
% 16.48/11.74 inference(transitivity,[status(thm)],[27916, 27914])).
% 16.48/11.74 tff(27918,plain,
% 16.48/11.74 ((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB109) <=> (~((~v195(constB109)) | (~v157(constB109)))))),
% 16.48/11.74 inference(quant_inst,[status(thm)],[])).
% 16.48/11.74 tff(27919,plain,
% 16.48/11.74 ((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB109) <=> (~((~v157(constB109)) | (~v195(constB109)))))),
% 16.48/11.74 inference(modus_ponens,[status(thm)],[27918, 27917])).
% 16.48/11.74 tff(27920,plain,
% 16.48/11.74 (v194(constB109) <=> (~((~v157(constB109)) | (~v195(constB109))))),
% 16.48/11.74 inference(unit_resolution,[status(thm)],[27919, 161])).
% 16.48/11.74 tff(27921,plain,
% 16.48/11.74 ((~![VarCurr: $i] : ((~v195(VarCurr)) <=> v196(VarCurr))) | ((~v195(constB109)) <=> v196(constB109))),
% 16.48/11.74 inference(quant_inst,[status(thm)],[])).
% 16.48/11.74 tff(27922,plain,
% 16.48/11.74 ((~v195(constB109)) <=> v196(constB109)),
% 16.48/11.74 inference(unit_resolution,[status(thm)],[27921, 193])).
% 16.48/11.74 tff(27923,plain,
% 16.48/11.74 ((~![VarCurr: $i] : (v196(VarCurr) <=> (v197(VarCurr) | v26(VarCurr)))) | (v196(constB109) <=> (v197(constB109) | v26(constB109)))),
% 16.48/11.74 inference(quant_inst,[status(thm)],[])).
% 16.48/11.74 tff(27924,plain,
% 16.48/11.74 (v196(constB109) <=> (v197(constB109) | v26(constB109))),
% 16.48/11.74 inference(unit_resolution,[status(thm)],[27923, 202])).
% 16.48/11.74 tff(27925,plain,
% 16.48/11.74 ((~![VarCurr: $i] : (v197(VarCurr) <=> (~((~v39(VarCurr)) | (~v9(VarCurr)))))) | (v197(constB109) <=> (~((~v39(constB109)) | (~v9(constB109)))))),
% 16.48/11.74 inference(quant_inst,[status(thm)],[])).
% 16.48/11.74 tff(27926,plain,
% 16.48/11.74 (v197(constB109) <=> (~((~v39(constB109)) | (~v9(constB109))))),
% 16.48/11.74 inference(unit_resolution,[status(thm)],[27925, 120])).
% 16.48/11.74 tff(27927,plain,
% 16.48/11.74 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | ((~nextState(constB109, constB110)) | (v13(constB110) <=> v9(constB109)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | (~nextState(constB109, constB110)) | (v13(constB110) <=> v9(constB109)))),
% 16.48/11.74 inference(rewrite,[status(thm)],[])).
% 16.48/11.74 tff(27928,plain,
% 16.48/11.74 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | ((~nextState(constB109, constB110)) | (v13(constB110) <=> v9(constB109)))),
% 16.48/11.74 inference(quant_inst,[status(thm)],[])).
% 16.48/11.74 tff(27929,plain,
% 16.48/11.74 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | (~nextState(constB109, constB110)) | (v13(constB110) <=> v9(constB109))),
% 16.48/11.74 inference(modus_ponens,[status(thm)],[27928, 27927])).
% 16.48/11.74 tff(27930,plain,
% 16.48/11.74 (v13(constB110) <=> v9(constB109)),
% 16.48/11.74 inference(unit_resolution,[status(thm)],[27929, 15410, 216])).
% 16.48/11.74 tff(27931,plain,
% 16.48/11.74 ((~![VarNext: $i] : (v6(VarNext) <=> v13(VarNext))) | (v6(constB110) <=> v13(constB110))),
% 16.48/11.74 inference(quant_inst,[status(thm)],[])).
% 16.48/11.74 tff(27932,plain,
% 16.48/11.74 (v6(constB110) <=> v13(constB110)),
% 16.48/11.74 inference(unit_resolution,[status(thm)],[27931, 230])).
% 16.48/11.74 tff(27933,plain,
% 16.48/11.74 ((~![VarCurr: $i] : ((~v21(VarCurr)) <=> v6(VarCurr))) | ((~v21(constB110)) <=> v6(constB110))),
% 16.48/11.74 inference(quant_inst,[status(thm)],[])).
% 16.48/11.74 tff(27934,plain,
% 16.48/11.74 ((~v21(constB110)) <=> v6(constB110)),
% 16.48/11.74 inference(unit_resolution,[status(thm)],[27933, 239])).
% 16.48/11.74 tff(27935,plain,
% 16.48/11.74 ((~![VarCurr: $i] : (v19(VarCurr) <=> (v20(VarCurr) | v21(VarCurr)))) | (v19(constB110) <=> (v20(constB110) | v21(constB110)))),
% 16.48/11.75 inference(quant_inst,[status(thm)],[])).
% 16.48/11.75 tff(27936,plain,
% 16.48/11.75 (v19(constB110) <=> (v20(constB110) | v21(constB110))),
% 16.48/11.75 inference(unit_resolution,[status(thm)],[27935, 248])).
% 16.48/11.75 tff(27937,plain,
% 16.48/11.75 ((~![VarCurr: $i] : (v18(VarCurr) <=> (~((~v19(VarCurr)) | (~v22(VarCurr)))))) | (v18(constB110) <=> (~((~v19(constB110)) | (~v22(constB110)))))),
% 16.48/11.75 inference(quant_inst,[status(thm)],[])).
% 16.48/11.75 tff(27938,plain,
% 16.48/11.75 (v18(constB110) <=> (~((~v19(constB110)) | (~v22(constB110))))),
% 16.48/11.75 inference(unit_resolution,[status(thm)],[27937, 260])).
% 16.48/11.75 tff(27939,plain,
% 16.48/11.75 ((~![VarCurr: $i] : ((~v4(VarCurr)) <=> v18(VarCurr))) | ((~v4(constB110)) <=> v18(constB110))),
% 16.48/11.75 inference(quant_inst,[status(thm)],[])).
% 16.48/11.75 tff(27940,plain,
% 16.48/11.75 ((~v4(constB110)) <=> v18(constB110)),
% 16.48/11.75 inference(unit_resolution,[status(thm)],[27939, 269])).
% 16.48/11.75 tff(27941,plain,
% 16.48/11.75 ((~![VarCurr: $i] : v4(VarCurr)) | v4(constB110)),
% 16.48/11.75 inference(quant_inst,[status(thm)],[])).
% 16.48/11.75 tff(27942,plain,
% 16.48/11.75 (v4(constB110)),
% 16.48/11.75 inference(unit_resolution,[status(thm)],[27941, 278])).
% 16.48/11.75 tff(27943,plain,
% 16.48/11.75 ((~((~v4(constB110)) <=> v18(constB110))) | (~v4(constB110)) | (~v18(constB110))),
% 16.48/11.75 inference(tautology,[status(thm)],[])).
% 16.48/11.75 tff(27944,plain,
% 16.48/11.75 (~v18(constB110)),
% 16.48/11.75 inference(unit_resolution,[status(thm)],[27943, 27942, 27940])).
% 16.48/11.75 tff(27945,plain,
% 16.48/11.75 ((~(v18(constB110) <=> (~((~v19(constB110)) | (~v22(constB110)))))) | v18(constB110) | ((~v19(constB110)) | (~v22(constB110)))),
% 16.48/11.75 inference(tautology,[status(thm)],[])).
% 16.48/11.75 tff(27946,plain,
% 16.48/11.75 ((~v19(constB110)) | (~v22(constB110))),
% 16.48/11.75 inference(unit_resolution,[status(thm)],[27945, 27944, 27938])).
% 16.48/11.75 tff(27947,plain,
% 16.48/11.75 ((~![VarCurr: $i] : (v22(VarCurr) <=> (v1(VarCurr) | v6(VarCurr)))) | (v22(constB110) <=> (v1(constB110) | v6(constB110)))),
% 16.48/11.75 inference(quant_inst,[status(thm)],[])).
% 16.48/11.75 tff(27948,plain,
% 16.48/11.75 (v22(constB110) <=> (v1(constB110) | v6(constB110))),
% 16.48/11.75 inference(unit_resolution,[status(thm)],[27947, 291])).
% 16.48/11.75 tff(27949,plain,
% 16.48/11.75 ((v1(constB110) | v6(constB110)) | (~v1(constB110))),
% 16.48/11.75 inference(tautology,[status(thm)],[])).
% 16.48/11.75 tff(27950,plain,
% 16.48/11.75 (v1(constB110) | v6(constB110)),
% 16.48/11.75 inference(unit_resolution,[status(thm)],[27949, 15440])).
% 16.48/11.75 tff(27951,plain,
% 16.48/11.75 ((~(v22(constB110) <=> (v1(constB110) | v6(constB110)))) | v22(constB110) | (~(v1(constB110) | v6(constB110)))),
% 16.48/11.75 inference(tautology,[status(thm)],[])).
% 16.48/11.75 tff(27952,plain,
% 16.48/11.75 ((~(v22(constB110) <=> (v1(constB110) | v6(constB110)))) | v22(constB110)),
% 16.48/11.75 inference(unit_resolution,[status(thm)],[27951, 27950])).
% 16.48/11.75 tff(27953,plain,
% 16.48/11.75 (v22(constB110)),
% 16.48/11.75 inference(unit_resolution,[status(thm)],[27952, 27948])).
% 16.48/11.75 tff(27954,plain,
% 16.48/11.75 ((~((~v19(constB110)) | (~v22(constB110)))) | (~v19(constB110)) | (~v22(constB110))),
% 16.48/11.75 inference(tautology,[status(thm)],[])).
% 16.48/11.75 tff(27955,plain,
% 16.48/11.75 ((~((~v19(constB110)) | (~v22(constB110)))) | (~v19(constB110))),
% 16.48/11.75 inference(unit_resolution,[status(thm)],[27954, 27953])).
% 16.48/11.75 tff(27956,plain,
% 16.48/11.75 (~v19(constB110)),
% 16.48/11.75 inference(unit_resolution,[status(thm)],[27955, 27946])).
% 16.48/11.75 tff(27957,plain,
% 16.48/11.75 ((~(v19(constB110) <=> (v20(constB110) | v21(constB110)))) | v19(constB110) | (~(v20(constB110) | v21(constB110)))),
% 16.48/11.75 inference(tautology,[status(thm)],[])).
% 16.48/11.75 tff(27958,plain,
% 16.48/11.75 (~(v20(constB110) | v21(constB110))),
% 16.48/11.75 inference(unit_resolution,[status(thm)],[27957, 27956, 27936])).
% 16.48/11.75 tff(27959,plain,
% 16.48/11.75 ((v20(constB110) | v21(constB110)) | (~v21(constB110))),
% 16.48/11.75 inference(tautology,[status(thm)],[])).
% 16.48/11.75 tff(27960,plain,
% 16.48/11.75 (~v21(constB110)),
% 16.48/11.75 inference(unit_resolution,[status(thm)],[27959, 27958])).
% 16.48/11.75 tff(27961,plain,
% 16.48/11.75 ((~((~v21(constB110)) <=> v6(constB110))) | v21(constB110) | v6(constB110)),
% 16.48/11.75 inference(tautology,[status(thm)],[])).
% 16.48/11.75 tff(27962,plain,
% 16.48/11.75 (v6(constB110)),
% 16.48/11.75 inference(unit_resolution,[status(thm)],[27961, 27960, 27934])).
% 16.48/11.75 tff(27963,plain,
% 16.48/11.75 ((~(v6(constB110) <=> v13(constB110))) | (~v6(constB110)) | v13(constB110)),
% 16.48/11.75 inference(tautology,[status(thm)],[])).
% 16.48/11.75 tff(27964,plain,
% 16.48/11.75 (v13(constB110)),
% 16.48/11.75 inference(unit_resolution,[status(thm)],[27963, 27962, 27932])).
% 16.48/11.75 tff(27965,plain,
% 16.48/11.75 ((~(v13(constB110) <=> v9(constB109))) | (~v13(constB110)) | v9(constB109)),
% 16.48/11.75 inference(tautology,[status(thm)],[])).
% 16.48/11.75 tff(27966,plain,
% 16.48/11.75 (v9(constB109)),
% 16.48/11.75 inference(unit_resolution,[status(thm)],[27965, 27964, 27930])).
% 16.48/11.75 tff(27967,plain,
% 16.48/11.75 ((~![VarCurr: $i] : ((~v39(VarCurr)) <=> v1(VarCurr))) | ((~v39(constB109)) <=> v1(constB109))),
% 16.48/11.75 inference(quant_inst,[status(thm)],[])).
% 16.48/11.75 tff(27968,plain,
% 16.48/11.75 ((~v39(constB109)) <=> v1(constB109)),
% 16.48/11.75 inference(unit_resolution,[status(thm)],[27967, 129])).
% 16.48/11.75 tff(27969,plain,
% 16.48/11.75 ((~((~v39(constB109)) <=> v1(constB109))) | v39(constB109) | v1(constB109)),
% 16.48/11.75 inference(tautology,[status(thm)],[])).
% 16.48/11.75 tff(27970,plain,
% 16.48/11.75 ((~((~v39(constB109)) <=> v1(constB109))) | v39(constB109)),
% 16.48/11.75 inference(unit_resolution,[status(thm)],[27969, 15432])).
% 16.48/11.75 tff(27971,plain,
% 16.48/11.75 (v39(constB109)),
% 16.48/11.75 inference(unit_resolution,[status(thm)],[27970, 27968])).
% 16.48/11.75 tff(27972,plain,
% 16.48/11.75 ((~((~v39(constB109)) | (~v9(constB109)))) | (~v39(constB109)) | (~v9(constB109))),
% 16.48/11.75 inference(tautology,[status(thm)],[])).
% 16.48/11.75 tff(27973,plain,
% 16.48/11.75 ((~((~v39(constB109)) | (~v9(constB109)))) | (~v9(constB109))),
% 16.48/11.75 inference(unit_resolution,[status(thm)],[27972, 27971])).
% 16.48/11.75 tff(27974,plain,
% 16.48/11.75 (~((~v39(constB109)) | (~v9(constB109)))),
% 16.48/11.75 inference(unit_resolution,[status(thm)],[27973, 27966])).
% 16.48/11.75 tff(27975,plain,
% 16.48/11.75 ((~(v197(constB109) <=> (~((~v39(constB109)) | (~v9(constB109)))))) | v197(constB109) | ((~v39(constB109)) | (~v9(constB109)))),
% 16.48/11.75 inference(tautology,[status(thm)],[])).
% 16.48/11.75 tff(27976,plain,
% 16.48/11.75 (v197(constB109)),
% 16.48/11.75 inference(unit_resolution,[status(thm)],[27975, 27974, 27926])).
% 16.48/11.75 tff(27977,plain,
% 16.48/11.75 ((v197(constB109) | v26(constB109)) | (~v197(constB109))),
% 16.48/11.75 inference(tautology,[status(thm)],[])).
% 16.48/11.75 tff(27978,plain,
% 16.48/11.75 (v197(constB109) | v26(constB109)),
% 16.48/11.75 inference(unit_resolution,[status(thm)],[27977, 27976])).
% 16.48/11.75 tff(27979,plain,
% 16.48/11.75 ((~(v196(constB109) <=> (v197(constB109) | v26(constB109)))) | v196(constB109) | (~(v197(constB109) | v26(constB109)))),
% 16.48/11.75 inference(tautology,[status(thm)],[])).
% 16.48/11.75 tff(27980,plain,
% 16.48/11.75 (v196(constB109)),
% 16.48/11.75 inference(unit_resolution,[status(thm)],[27979, 27978, 27924])).
% 16.48/11.75 tff(27981,plain,
% 16.48/11.75 ((~((~v195(constB109)) <=> v196(constB109))) | (~v195(constB109)) | (~v196(constB109))),
% 16.48/11.75 inference(tautology,[status(thm)],[])).
% 16.48/11.75 tff(27982,plain,
% 16.48/11.75 (~v195(constB109)),
% 16.48/11.75 inference(unit_resolution,[status(thm)],[27981, 27980, 27922])).
% 16.48/11.75 tff(27983,plain,
% 16.48/11.75 (((~v157(constB109)) | (~v195(constB109))) | v195(constB109)),
% 16.48/11.75 inference(tautology,[status(thm)],[])).
% 16.48/11.75 tff(27984,plain,
% 16.48/11.75 ((~v157(constB109)) | (~v195(constB109))),
% 16.48/11.75 inference(unit_resolution,[status(thm)],[27983, 27982])).
% 16.48/11.75 tff(27985,plain,
% 16.48/11.75 ((~(v194(constB109) <=> (~((~v157(constB109)) | (~v195(constB109)))))) | (~v194(constB109)) | (~((~v157(constB109)) | (~v195(constB109))))),
% 16.48/11.75 inference(tautology,[status(thm)],[])).
% 16.48/11.75 tff(27986,plain,
% 16.48/11.75 (~v194(constB109)),
% 16.48/11.75 inference(unit_resolution,[status(thm)],[27985, 27984, 27920])).
% 16.48/11.75 tff(27987,plain,
% 16.48/11.75 ((~![VarCurr: $i] : (v198(VarCurr) <=> (~((~v199(VarCurr)) | (~v200(VarCurr)))))) | (v198(constB109) <=> (~((~v199(constB109)) | (~v200(constB109)))))),
% 16.48/11.75 inference(quant_inst,[status(thm)],[])).
% 16.48/11.75 tff(27988,plain,
% 16.48/11.75 (v198(constB109) <=> (~((~v199(constB109)) | (~v200(constB109))))),
% 16.48/11.75 inference(unit_resolution,[status(thm)],[27987, 96])).
% 16.48/11.75 tff(27989,plain,
% 16.48/11.75 ((~![VarCurr: $i] : (v200(VarCurr) <=> (~((~v197(VarCurr)) | (~v201(VarCurr)))))) | (v200(constB109) <=> (~((~v197(constB109)) | (~v201(constB109)))))),
% 16.48/11.75 inference(quant_inst,[status(thm)],[])).
% 16.48/11.75 tff(27990,plain,
% 16.48/11.75 (v200(constB109) <=> (~((~v197(constB109)) | (~v201(constB109))))),
% 16.48/11.75 inference(unit_resolution,[status(thm)],[27989, 108])).
% 16.48/11.75 tff(27991,plain,
% 16.48/11.75 ((~![VarCurr: $i] : (v201(VarCurr) <=> (~((~v159(VarCurr)) | (~v161(VarCurr)))))) | (v201(constB109) <=> (~((~v159(constB109)) | (~v161(constB109)))))),
% 16.48/11.75 inference(quant_inst,[status(thm)],[])).
% 16.48/11.75 tff(27992,plain,
% 16.48/11.75 (v201(constB109) <=> (~((~v159(constB109)) | (~v161(constB109))))),
% 16.48/11.75 inference(unit_resolution,[status(thm)],[27991, 348])).
% 16.48/11.75 tff(27993,plain,
% 16.48/11.75 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v179(VarNext) <=> v180(VarNext)))) | ((~nextState(constB108, constB109)) | (v179(constB109) <=> v180(constB109)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v179(VarNext) <=> v180(VarNext)))) | (~nextState(constB108, constB109)) | (v179(constB109) <=> v180(constB109)))),
% 16.48/11.75 inference(rewrite,[status(thm)],[])).
% 16.48/11.75 tff(27994,plain,
% 16.48/11.75 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v179(VarNext) <=> v180(VarNext)))) | ((~nextState(constB108, constB109)) | (v179(constB109) <=> v180(constB109)))),
% 16.48/11.75 inference(quant_inst,[status(thm)],[])).
% 16.48/11.75 tff(27995,plain,
% 16.48/11.75 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v179(VarNext) <=> v180(VarNext)))) | (~nextState(constB108, constB109)) | (v179(constB109) <=> v180(constB109))),
% 16.48/11.75 inference(modus_ponens,[status(thm)],[27994, 27993])).
% 16.48/11.75 tff(27996,plain,
% 16.48/11.75 (v179(constB109) <=> v180(constB109)),
% 16.48/11.75 inference(unit_resolution,[status(thm)],[27995, 15473, 13536])).
% 16.48/11.75 tff(27997,plain,
% 16.48/11.75 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> (~((~v181(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB108, constB109)) | (v180(constB109) <=> (~((~v1(constB109)) | (~v181(constB109))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> (~((~v181(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB108, constB109)) | (v180(constB109) <=> (~((~v1(constB109)) | (~v181(constB109))))))),
% 16.48/11.75 inference(rewrite,[status(thm)],[])).
% 16.48/11.75 tff(27998,plain,
% 16.48/11.75 (((~nextState(constB108, constB109)) | (v180(constB109) <=> (~((~v181(constB109)) | (~v1(constB109)))))) <=> ((~nextState(constB108, constB109)) | (v180(constB109) <=> (~((~v1(constB109)) | (~v181(constB109))))))),
% 16.48/11.75 inference(rewrite,[status(thm)],[])).
% 16.48/11.75 tff(27999,plain,
% 16.48/11.75 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> (~((~v181(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB108, constB109)) | (v180(constB109) <=> (~((~v181(constB109)) | (~v1(constB109))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> (~((~v181(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB108, constB109)) | (v180(constB109) <=> (~((~v1(constB109)) | (~v181(constB109)))))))),
% 16.48/11.75 inference(monotonicity,[status(thm)],[27998])).
% 16.48/11.75 tff(28000,plain,
% 16.48/11.75 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> (~((~v181(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB108, constB109)) | (v180(constB109) <=> (~((~v181(constB109)) | (~v1(constB109))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> (~((~v181(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB108, constB109)) | (v180(constB109) <=> (~((~v1(constB109)) | (~v181(constB109))))))),
% 16.48/11.75 inference(transitivity,[status(thm)],[27999, 27997])).
% 16.48/11.75 tff(28001,plain,
% 16.48/11.75 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> (~((~v181(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB108, constB109)) | (v180(constB109) <=> (~((~v181(constB109)) | (~v1(constB109))))))),
% 16.48/11.75 inference(quant_inst,[status(thm)],[])).
% 16.48/11.75 tff(28002,plain,
% 16.48/11.75 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> (~((~v181(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB108, constB109)) | (v180(constB109) <=> (~((~v1(constB109)) | (~v181(constB109)))))),
% 16.48/11.75 inference(modus_ponens,[status(thm)],[28001, 28000])).
% 16.48/11.75 tff(28003,plain,
% 16.48/11.75 (v180(constB109) <=> (~((~v1(constB109)) | (~v181(constB109))))),
% 16.48/11.75 inference(unit_resolution,[status(thm)],[28002, 15473, 13556])).
% 16.48/11.75 tff(28004,plain,
% 16.48/11.75 (((~v1(constB109)) | (~v181(constB109))) | v1(constB109)),
% 16.48/11.75 inference(tautology,[status(thm)],[])).
% 16.48/11.75 tff(28005,plain,
% 16.48/11.75 ((~v1(constB109)) | (~v181(constB109))),
% 16.48/11.75 inference(unit_resolution,[status(thm)],[28004, 15432])).
% 16.48/11.75 tff(28006,plain,
% 16.48/11.75 ((~(v180(constB109) <=> (~((~v1(constB109)) | (~v181(constB109)))))) | (~v180(constB109)) | (~((~v1(constB109)) | (~v181(constB109))))),
% 16.48/11.75 inference(tautology,[status(thm)],[])).
% 16.48/11.75 tff(28007,plain,
% 16.48/11.75 ((~(v180(constB109) <=> (~((~v1(constB109)) | (~v181(constB109)))))) | (~v180(constB109))),
% 16.48/11.75 inference(unit_resolution,[status(thm)],[28006, 28005])).
% 16.48/11.75 tff(28008,plain,
% 16.48/11.75 (~v180(constB109)),
% 16.48/11.75 inference(unit_resolution,[status(thm)],[28007, 28003])).
% 16.48/11.75 tff(28009,plain,
% 16.48/11.75 ((~(v179(constB109) <=> v180(constB109))) | (~v179(constB109)) | v180(constB109)),
% 16.48/11.75 inference(tautology,[status(thm)],[])).
% 16.48/11.75 tff(28010,plain,
% 16.48/11.75 (~v179(constB109)),
% 16.48/11.75 inference(unit_resolution,[status(thm)],[28009, 28008, 27996])).
% 16.48/11.75 tff(28011,plain,
% 16.48/11.75 (((~![VarCurr: $i, VarNext: $i] : ((v159(VarNext) <=> v159(VarCurr)) | v179(VarNext) | (~nextState(VarCurr, VarNext)))) | ((~nextState(constB108, constB109)) | v179(constB109) | (v159(constB109) <=> v159(constB108)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((v159(VarNext) <=> v159(VarCurr)) | v179(VarNext) | (~nextState(VarCurr, VarNext)))) | (~nextState(constB108, constB109)) | v179(constB109) | (v159(constB109) <=> v159(constB108)))),
% 16.48/11.75 inference(rewrite,[status(thm)],[])).
% 16.48/11.75 tff(28012,plain,
% 16.48/11.75 (((v159(constB109) <=> v159(constB108)) | v179(constB109) | (~nextState(constB108, constB109))) <=> ((~nextState(constB108, constB109)) | v179(constB109) | (v159(constB109) <=> v159(constB108)))),
% 16.48/11.75 inference(rewrite,[status(thm)],[])).
% 16.48/11.75 tff(28013,plain,
% 16.48/11.75 (((~![VarCurr: $i, VarNext: $i] : ((v159(VarNext) <=> v159(VarCurr)) | v179(VarNext) | (~nextState(VarCurr, VarNext)))) | ((v159(constB109) <=> v159(constB108)) | v179(constB109) | (~nextState(constB108, constB109)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((v159(VarNext) <=> v159(VarCurr)) | v179(VarNext) | (~nextState(VarCurr, VarNext)))) | ((~nextState(constB108, constB109)) | v179(constB109) | (v159(constB109) <=> v159(constB108))))),
% 16.48/11.75 inference(monotonicity,[status(thm)],[28012])).
% 16.48/11.75 tff(28014,plain,
% 16.48/11.75 (((~![VarCurr: $i, VarNext: $i] : ((v159(VarNext) <=> v159(VarCurr)) | v179(VarNext) | (~nextState(VarCurr, VarNext)))) | ((v159(constB109) <=> v159(constB108)) | v179(constB109) | (~nextState(constB108, constB109)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((v159(VarNext) <=> v159(VarCurr)) | v179(VarNext) | (~nextState(VarCurr, VarNext)))) | (~nextState(constB108, constB109)) | v179(constB109) | (v159(constB109) <=> v159(constB108)))),
% 16.48/11.75 inference(transitivity,[status(thm)],[28013, 28011])).
% 16.48/11.75 tff(28015,plain,
% 16.48/11.75 ((~![VarCurr: $i, VarNext: $i] : ((v159(VarNext) <=> v159(VarCurr)) | v179(VarNext) | (~nextState(VarCurr, VarNext)))) | ((v159(constB109) <=> v159(constB108)) | v179(constB109) | (~nextState(constB108, constB109)))),
% 16.48/11.75 inference(quant_inst,[status(thm)],[])).
% 16.48/11.75 tff(28016,plain,
% 16.48/11.75 ((~![VarCurr: $i, VarNext: $i] : ((v159(VarNext) <=> v159(VarCurr)) | v179(VarNext) | (~nextState(VarCurr, VarNext)))) | (~nextState(constB108, constB109)) | v179(constB109) | (v159(constB109) <=> v159(constB108))),
% 16.48/11.75 inference(modus_ponens,[status(thm)],[28015, 28014])).
% 16.48/11.75 tff(28017,plain,
% 16.48/11.75 (v179(constB109) | (v159(constB109) <=> v159(constB108))),
% 16.48/11.75 inference(unit_resolution,[status(thm)],[28016, 15473, 13580])).
% 16.48/11.75 tff(28018,plain,
% 16.48/11.75 (v159(constB109) <=> v159(constB108)),
% 16.48/11.75 inference(unit_resolution,[status(thm)],[28017, 28010])).
% 16.48/11.75 tff(28019,plain,
% 16.48/11.75 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v179(VarNext) <=> v180(VarNext)))) | ((~nextState(constB107, constB108)) | (v179(constB108) <=> v180(constB108)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v179(VarNext) <=> v180(VarNext)))) | (~nextState(constB107, constB108)) | (v179(constB108) <=> v180(constB108)))),
% 16.48/11.75 inference(rewrite,[status(thm)],[])).
% 16.48/11.75 tff(28020,plain,
% 16.48/11.75 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v179(VarNext) <=> v180(VarNext)))) | ((~nextState(constB107, constB108)) | (v179(constB108) <=> v180(constB108)))),
% 16.48/11.75 inference(quant_inst,[status(thm)],[])).
% 16.48/11.75 tff(28021,plain,
% 16.48/11.75 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v179(VarNext) <=> v180(VarNext)))) | (~nextState(constB107, constB108)) | (v179(constB108) <=> v180(constB108))),
% 16.48/11.75 inference(modus_ponens,[status(thm)],[28020, 28019])).
% 16.48/11.75 tff(28022,plain,
% 16.48/11.75 (v179(constB108) <=> v180(constB108)),
% 16.48/11.75 inference(unit_resolution,[status(thm)],[28021, 15505, 13536])).
% 16.48/11.75 tff(28023,plain,
% 16.48/11.75 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> (~((~v181(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB107, constB108)) | (v180(constB108) <=> (~((~v1(constB108)) | (~v181(constB108))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> (~((~v181(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB107, constB108)) | (v180(constB108) <=> (~((~v1(constB108)) | (~v181(constB108))))))),
% 16.48/11.75 inference(rewrite,[status(thm)],[])).
% 16.48/11.75 tff(28024,plain,
% 16.48/11.75 (((~nextState(constB107, constB108)) | (v180(constB108) <=> (~((~v181(constB108)) | (~v1(constB108)))))) <=> ((~nextState(constB107, constB108)) | (v180(constB108) <=> (~((~v1(constB108)) | (~v181(constB108))))))),
% 16.48/11.75 inference(rewrite,[status(thm)],[])).
% 16.48/11.75 tff(28025,plain,
% 16.48/11.75 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> (~((~v181(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB107, constB108)) | (v180(constB108) <=> (~((~v181(constB108)) | (~v1(constB108))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> (~((~v181(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB107, constB108)) | (v180(constB108) <=> (~((~v1(constB108)) | (~v181(constB108)))))))),
% 16.48/11.75 inference(monotonicity,[status(thm)],[28024])).
% 16.48/11.75 tff(28026,plain,
% 16.48/11.75 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> (~((~v181(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB107, constB108)) | (v180(constB108) <=> (~((~v181(constB108)) | (~v1(constB108))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> (~((~v181(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB107, constB108)) | (v180(constB108) <=> (~((~v1(constB108)) | (~v181(constB108))))))),
% 16.48/11.75 inference(transitivity,[status(thm)],[28025, 28023])).
% 16.48/11.75 tff(28027,plain,
% 16.48/11.75 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> (~((~v181(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB107, constB108)) | (v180(constB108) <=> (~((~v181(constB108)) | (~v1(constB108))))))),
% 16.48/11.75 inference(quant_inst,[status(thm)],[])).
% 16.48/11.75 tff(28028,plain,
% 16.48/11.75 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> (~((~v181(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB107, constB108)) | (v180(constB108) <=> (~((~v1(constB108)) | (~v181(constB108)))))),
% 16.48/11.75 inference(modus_ponens,[status(thm)],[28027, 28026])).
% 16.48/11.75 tff(28029,plain,
% 16.48/11.75 (v180(constB108) <=> (~((~v1(constB108)) | (~v181(constB108))))),
% 16.48/11.75 inference(unit_resolution,[status(thm)],[28028, 15505, 13556])).
% 16.48/11.75 tff(28030,plain,
% 16.48/11.75 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v181(VarNext)) <=> v104(VarNext)))) | ((~nextState(constB107, constB108)) | ((~v181(constB108)) <=> v104(constB108)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v181(VarNext)) <=> v104(VarNext)))) | (~nextState(constB107, constB108)) | ((~v181(constB108)) <=> v104(constB108)))),
% 16.48/11.75 inference(rewrite,[status(thm)],[])).
% 16.48/11.75 tff(28031,plain,
% 16.48/11.75 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v181(VarNext)) <=> v104(VarNext)))) | ((~nextState(constB107, constB108)) | ((~v181(constB108)) <=> v104(constB108)))),
% 16.48/11.75 inference(quant_inst,[status(thm)],[])).
% 16.48/11.75 tff(28032,plain,
% 16.48/11.75 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v181(VarNext)) <=> v104(VarNext)))) | (~nextState(constB107, constB108)) | ((~v181(constB108)) <=> v104(constB108))),
% 16.48/11.75 inference(modus_ponens,[status(thm)],[28031, 28030])).
% 16.48/11.75 tff(28033,plain,
% 16.48/11.75 ((~v181(constB108)) <=> v104(constB108)),
% 16.48/11.75 inference(unit_resolution,[status(thm)],[28032, 15505, 13612])).
% 16.48/11.76 tff(28034,plain,
% 16.48/11.76 ((~((~v181(constB108)) <=> v104(constB108))) | v181(constB108) | v104(constB108)),
% 16.48/11.76 inference(tautology,[status(thm)],[])).
% 16.48/11.76 tff(28035,plain,
% 16.48/11.76 (v181(constB108)),
% 16.48/11.76 inference(unit_resolution,[status(thm)],[28034, 15530, 28033])).
% 16.48/11.76 tff(28036,plain,
% 16.48/11.76 ((~((~v1(constB108)) | (~v181(constB108)))) | (~v1(constB108)) | (~v181(constB108))),
% 16.48/11.76 inference(tautology,[status(thm)],[])).
% 16.48/11.76 tff(28037,plain,
% 16.48/11.76 ((~((~v1(constB108)) | (~v181(constB108)))) | (~v181(constB108))),
% 16.48/11.76 inference(unit_resolution,[status(thm)],[28036, 15535])).
% 16.48/11.76 tff(28038,plain,
% 16.48/11.76 (~((~v1(constB108)) | (~v181(constB108)))),
% 16.48/11.76 inference(unit_resolution,[status(thm)],[28037, 28035])).
% 16.48/11.76 tff(28039,plain,
% 16.48/11.76 ((~(v180(constB108) <=> (~((~v1(constB108)) | (~v181(constB108)))))) | v180(constB108) | ((~v1(constB108)) | (~v181(constB108)))),
% 16.48/11.76 inference(tautology,[status(thm)],[])).
% 16.48/11.76 tff(28040,plain,
% 16.48/11.76 (v180(constB108)),
% 16.48/11.76 inference(unit_resolution,[status(thm)],[28039, 28038, 28029])).
% 16.48/11.76 tff(28041,plain,
% 16.48/11.76 ((~(v179(constB108) <=> v180(constB108))) | v179(constB108) | (~v180(constB108))),
% 16.48/11.76 inference(tautology,[status(thm)],[])).
% 16.48/11.76 tff(28042,plain,
% 16.48/11.76 (v179(constB108)),
% 16.48/11.76 inference(unit_resolution,[status(thm)],[28041, 28040, 28022])).
% 16.48/11.76 tff(28043,plain,
% 16.48/11.76 (((~![VarNext: $i] : ((~v179(VarNext)) | (v159(VarNext) <=> v186(VarNext)))) | ((~v179(constB108)) | (v159(constB108) <=> v186(constB108)))) <=> ((~![VarNext: $i] : ((~v179(VarNext)) | (v159(VarNext) <=> v186(VarNext)))) | (~v179(constB108)) | (v159(constB108) <=> v186(constB108)))),
% 16.48/11.76 inference(rewrite,[status(thm)],[])).
% 16.48/11.76 tff(28044,plain,
% 16.48/11.76 ((~![VarNext: $i] : ((~v179(VarNext)) | (v159(VarNext) <=> v186(VarNext)))) | ((~v179(constB108)) | (v159(constB108) <=> v186(constB108)))),
% 16.48/11.76 inference(quant_inst,[status(thm)],[])).
% 16.48/11.76 tff(28045,plain,
% 16.48/11.76 ((~![VarNext: $i] : ((~v179(VarNext)) | (v159(VarNext) <=> v186(VarNext)))) | (~v179(constB108)) | (v159(constB108) <=> v186(constB108))),
% 16.48/11.76 inference(modus_ponens,[status(thm)],[28044, 28043])).
% 16.48/11.76 tff(28046,plain,
% 16.48/11.76 (v159(constB108) <=> v186(constB108)),
% 16.48/11.76 inference(unit_resolution,[status(thm)],[28045, 13648, 28042])).
% 16.48/11.76 tff(28047,plain,
% 16.48/11.76 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v186(VarNext) <=> v161(VarCurr)))) | ((~nextState(constB107, constB108)) | (v186(constB108) <=> v161(constB107)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v186(VarNext) <=> v161(VarCurr)))) | (~nextState(constB107, constB108)) | (v186(constB108) <=> v161(constB107)))),
% 16.48/11.76 inference(rewrite,[status(thm)],[])).
% 16.48/11.76 tff(28048,plain,
% 16.48/11.76 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v186(VarNext) <=> v161(VarCurr)))) | ((~nextState(constB107, constB108)) | (v186(constB108) <=> v161(constB107)))),
% 16.48/11.76 inference(quant_inst,[status(thm)],[])).
% 16.48/11.76 tff(28049,plain,
% 16.48/11.76 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v186(VarNext) <=> v161(VarCurr)))) | (~nextState(constB107, constB108)) | (v186(constB108) <=> v161(constB107))),
% 16.48/11.76 inference(modus_ponens,[status(thm)],[28048, 28047])).
% 16.48/11.76 tff(28050,plain,
% 16.48/11.76 (v186(constB108) <=> v161(constB107)),
% 16.48/11.76 inference(unit_resolution,[status(thm)],[28049, 15505, 13662])).
% 16.48/11.76 tff(28051,plain,
% 16.48/11.76 ((~![VarCurr: $i] : (v161(VarCurr) <=> v163(VarCurr))) | (v161(constB107) <=> v163(constB107))),
% 16.48/11.76 inference(quant_inst,[status(thm)],[])).
% 16.48/11.76 tff(28052,plain,
% 16.48/11.76 (v161(constB107) <=> v163(constB107)),
% 16.48/11.76 inference(unit_resolution,[status(thm)],[28051, 357])).
% 16.48/11.76 tff(28053,plain,
% 16.48/11.76 ((~![VarCurr: $i] : (v171(VarCurr) <=> (v142(VarCurr) | v150(VarCurr)))) | (v171(constB107) <=> (v142(constB107) | v150(constB107)))),
% 16.48/11.76 inference(quant_inst,[status(thm)],[])).
% 16.48/11.76 tff(28054,plain,
% 16.48/11.76 (v171(constB107) <=> (v142(constB107) | v150(constB107))),
% 16.48/11.76 inference(unit_resolution,[status(thm)],[28053, 369])).
% 16.48/11.76 tff(28055,plain,
% 16.48/11.76 ((~![VarCurr: $i] : (v150(VarCurr) <=> (v141(VarCurr) | v151(VarCurr)))) | (v150(constB107) <=> (v141(constB107) | v151(constB107)))),
% 16.48/11.76 inference(quant_inst,[status(thm)],[])).
% 16.48/11.76 tff(28056,plain,
% 16.48/11.76 (v150(constB107) <=> (v141(constB107) | v151(constB107))),
% 16.48/11.76 inference(unit_resolution,[status(thm)],[28055, 13680])).
% 16.48/11.76 tff(28057,plain,
% 16.48/11.76 ((~![VarCurr: $i] : (v151(VarCurr) <=> (v139(VarCurr) | v140(VarCurr)))) | (v151(constB107) <=> (v139(constB107) | v140(constB107)))),
% 16.48/11.76 inference(quant_inst,[status(thm)],[])).
% 16.48/11.76 tff(28058,plain,
% 16.48/11.76 (v151(constB107) <=> (v139(constB107) | v140(constB107))),
% 16.48/11.76 inference(unit_resolution,[status(thm)],[28057, 13689])).
% 16.48/11.76 tff(28059,plain,
% 16.48/11.76 (((~![VarCurr: $i] : (v140(VarCurr) <=> (~(v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex0)))))) | (v140(constB107) <=> (~(v88(constB107, bitIndex2) | v88(constB107, bitIndex1) | (~v88(constB107, bitIndex0)))))) <=> ((~![VarCurr: $i] : (v140(VarCurr) <=> (~(v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex0)))))) | (v140(constB107) <=> (~(v88(constB107, bitIndex2) | v88(constB107, bitIndex1) | (~v88(constB107, bitIndex0))))))),
% 16.48/11.76 inference(rewrite,[status(thm)],[])).
% 16.48/11.76 tff(28060,plain,
% 16.48/11.76 ((v140(constB107) <=> (~(v88(constB107, bitIndex1) | v88(constB107, bitIndex2) | (~v88(constB107, bitIndex0))))) <=> (v140(constB107) <=> (~(v88(constB107, bitIndex2) | v88(constB107, bitIndex1) | (~v88(constB107, bitIndex0)))))),
% 16.48/11.76 inference(rewrite,[status(thm)],[])).
% 16.48/11.76 tff(28061,plain,
% 16.48/11.76 (((~![VarCurr: $i] : (v140(VarCurr) <=> (~(v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex0)))))) | (v140(constB107) <=> (~(v88(constB107, bitIndex1) | v88(constB107, bitIndex2) | (~v88(constB107, bitIndex0)))))) <=> ((~![VarCurr: $i] : (v140(VarCurr) <=> (~(v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex0)))))) | (v140(constB107) <=> (~(v88(constB107, bitIndex2) | v88(constB107, bitIndex1) | (~v88(constB107, bitIndex0))))))),
% 16.48/11.76 inference(monotonicity,[status(thm)],[28060])).
% 16.48/11.76 tff(28062,plain,
% 16.48/11.76 (((~![VarCurr: $i] : (v140(VarCurr) <=> (~(v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex0)))))) | (v140(constB107) <=> (~(v88(constB107, bitIndex1) | v88(constB107, bitIndex2) | (~v88(constB107, bitIndex0)))))) <=> ((~![VarCurr: $i] : (v140(VarCurr) <=> (~(v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex0)))))) | (v140(constB107) <=> (~(v88(constB107, bitIndex2) | v88(constB107, bitIndex1) | (~v88(constB107, bitIndex0))))))),
% 16.48/11.76 inference(transitivity,[status(thm)],[28061, 28059])).
% 16.48/11.76 tff(28063,plain,
% 16.48/11.76 ((~![VarCurr: $i] : (v140(VarCurr) <=> (~(v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex0)))))) | (v140(constB107) <=> (~(v88(constB107, bitIndex1) | v88(constB107, bitIndex2) | (~v88(constB107, bitIndex0)))))),
% 16.48/11.76 inference(quant_inst,[status(thm)],[])).
% 16.48/11.76 tff(28064,plain,
% 16.48/11.76 ((~![VarCurr: $i] : (v140(VarCurr) <=> (~(v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex0)))))) | (v140(constB107) <=> (~(v88(constB107, bitIndex2) | v88(constB107, bitIndex1) | (~v88(constB107, bitIndex0)))))),
% 16.48/11.76 inference(modus_ponens,[status(thm)],[28063, 28062])).
% 16.48/11.76 tff(28065,plain,
% 16.48/11.76 (v140(constB107) <=> (~(v88(constB107, bitIndex2) | v88(constB107, bitIndex1) | (~v88(constB107, bitIndex0))))),
% 16.48/11.76 inference(unit_resolution,[status(thm)],[28064, 13704])).
% 16.48/11.76 tff(28066,plain,
% 16.48/11.76 (((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | ((~less_3(bitIndex2)) | (v88(constB107, bitIndex2) <=> v90(constB107, bitIndex2)))) <=> ((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | (~less_3(bitIndex2)) | (v88(constB107, bitIndex2) <=> v90(constB107, bitIndex2)))),
% 16.48/11.76 inference(rewrite,[status(thm)],[])).
% 16.48/11.76 tff(28067,plain,
% 16.48/11.76 ((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | ((~less_3(bitIndex2)) | (v88(constB107, bitIndex2) <=> v90(constB107, bitIndex2)))),
% 16.48/11.76 inference(quant_inst,[status(thm)],[])).
% 16.48/11.76 tff(28068,plain,
% 16.48/11.76 ((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | (~less_3(bitIndex2)) | (v88(constB107, bitIndex2) <=> v90(constB107, bitIndex2))),
% 16.48/11.76 inference(modus_ponens,[status(thm)],[28067, 28066])).
% 16.48/11.76 tff(28069,plain,
% 16.48/11.76 (v88(constB107, bitIndex2) <=> v90(constB107, bitIndex2)),
% 16.48/11.76 inference(unit_resolution,[status(thm)],[28068, 413, 410])).
% 16.48/11.76 tff(28070,plain,
% 16.48/11.76 ((~(v88(constB107, bitIndex2) <=> v90(constB107, bitIndex2))) | (~v88(constB107, bitIndex2)) | v90(constB107, bitIndex2)),
% 16.48/11.76 inference(tautology,[status(thm)],[])).
% 16.48/11.76 tff(28071,plain,
% 16.48/11.76 (~v88(constB107, bitIndex2)),
% 16.48/11.76 inference(unit_resolution,[status(thm)],[28070, 17079, 28069])).
% 16.48/11.76 tff(28072,plain,
% 16.48/11.76 (((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | ((~less_3(bitIndex0)) | (v88(constB107, bitIndex0) <=> v90(constB107, bitIndex0)))) <=> ((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | (~less_3(bitIndex0)) | (v88(constB107, bitIndex0) <=> v90(constB107, bitIndex0)))),
% 16.48/11.76 inference(rewrite,[status(thm)],[])).
% 16.48/11.76 tff(28073,plain,
% 16.48/11.76 ((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | ((~less_3(bitIndex0)) | (v88(constB107, bitIndex0) <=> v90(constB107, bitIndex0)))),
% 16.48/11.76 inference(quant_inst,[status(thm)],[])).
% 16.48/11.76 tff(28074,plain,
% 16.48/11.76 ((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | (~less_3(bitIndex0)) | (v88(constB107, bitIndex0) <=> v90(constB107, bitIndex0))),
% 16.48/11.76 inference(modus_ponens,[status(thm)],[28073, 28072])).
% 16.48/11.76 tff(28075,plain,
% 16.48/11.76 (v88(constB107, bitIndex0) <=> v90(constB107, bitIndex0)),
% 16.48/11.76 inference(unit_resolution,[status(thm)],[28074, 5004, 410])).
% 16.48/11.76 tff(28076,plain,
% 16.48/11.76 ((~(v88(constB107, bitIndex0) <=> v90(constB107, bitIndex0))) | v88(constB107, bitIndex0) | (~v90(constB107, bitIndex0))),
% 16.48/11.76 inference(tautology,[status(thm)],[])).
% 16.48/11.76 tff(28077,plain,
% 16.48/11.76 (v88(constB107, bitIndex0)),
% 16.48/11.76 inference(unit_resolution,[status(thm)],[28076, 17110, 28075])).
% 16.48/11.76 tff(28078,plain,
% 16.48/11.76 (((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | ((~less_3(bitIndex1)) | (v88(constB107, bitIndex1) <=> v90(constB107, bitIndex1)))) <=> ((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | (~less_3(bitIndex1)) | (v88(constB107, bitIndex1) <=> v90(constB107, bitIndex1)))),
% 16.48/11.76 inference(rewrite,[status(thm)],[])).
% 16.48/11.76 tff(28079,plain,
% 16.48/11.76 ((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | ((~less_3(bitIndex1)) | (v88(constB107, bitIndex1) <=> v90(constB107, bitIndex1)))),
% 16.48/11.76 inference(quant_inst,[status(thm)],[])).
% 16.48/11.76 tff(28080,plain,
% 16.48/11.76 ((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | (~less_3(bitIndex1)) | (v88(constB107, bitIndex1) <=> v90(constB107, bitIndex1))),
% 16.48/11.76 inference(modus_ponens,[status(thm)],[28079, 28078])).
% 16.48/11.76 tff(28081,plain,
% 16.48/11.76 (v88(constB107, bitIndex1) <=> v90(constB107, bitIndex1)),
% 16.48/11.76 inference(unit_resolution,[status(thm)],[28080, 5017, 410])).
% 16.48/11.76 tff(28082,plain,
% 16.48/11.76 ((~(v88(constB107, bitIndex1) <=> v90(constB107, bitIndex1))) | (~v88(constB107, bitIndex1)) | v90(constB107, bitIndex1)),
% 16.48/11.76 inference(tautology,[status(thm)],[])).
% 16.48/11.76 tff(28083,plain,
% 16.48/11.76 (~v88(constB107, bitIndex1)),
% 16.48/11.76 inference(unit_resolution,[status(thm)],[28082, 17141, 28081])).
% 16.48/11.76 tff(28084,plain,
% 16.48/11.76 ((~(v88(constB107, bitIndex2) | v88(constB107, bitIndex1) | (~v88(constB107, bitIndex0)))) | v88(constB107, bitIndex2) | v88(constB107, bitIndex1) | (~v88(constB107, bitIndex0))),
% 16.48/11.76 inference(tautology,[status(thm)],[])).
% 16.48/11.76 tff(28085,plain,
% 16.48/11.76 (~(v88(constB107, bitIndex2) | v88(constB107, bitIndex1) | (~v88(constB107, bitIndex0)))),
% 16.48/11.76 inference(unit_resolution,[status(thm)],[28084, 28083, 28077, 28071])).
% 16.48/11.76 tff(28086,plain,
% 16.48/11.76 ((~(v140(constB107) <=> (~(v88(constB107, bitIndex2) | v88(constB107, bitIndex1) | (~v88(constB107, bitIndex0)))))) | v140(constB107) | (v88(constB107, bitIndex2) | v88(constB107, bitIndex1) | (~v88(constB107, bitIndex0)))),
% 16.48/11.76 inference(tautology,[status(thm)],[])).
% 16.48/11.76 tff(28087,plain,
% 16.48/11.76 (v140(constB107)),
% 16.48/11.76 inference(unit_resolution,[status(thm)],[28086, 28085, 28065])).
% 16.48/11.76 tff(28088,plain,
% 16.48/11.76 ((v139(constB107) | v140(constB107)) | (~v140(constB107))),
% 16.56/11.76 inference(tautology,[status(thm)],[])).
% 16.56/11.76 tff(28089,plain,
% 16.56/11.76 (v139(constB107) | v140(constB107)),
% 16.56/11.76 inference(unit_resolution,[status(thm)],[28088, 28087])).
% 16.56/11.76 tff(28090,plain,
% 16.56/11.76 ((~(v151(constB107) <=> (v139(constB107) | v140(constB107)))) | v151(constB107) | (~(v139(constB107) | v140(constB107)))),
% 16.56/11.76 inference(tautology,[status(thm)],[])).
% 16.56/11.76 tff(28091,plain,
% 16.56/11.76 (v151(constB107)),
% 16.56/11.76 inference(unit_resolution,[status(thm)],[28090, 28089, 28058])).
% 16.56/11.76 tff(28092,plain,
% 16.56/11.76 ((v141(constB107) | v151(constB107)) | (~v151(constB107))),
% 16.56/11.76 inference(tautology,[status(thm)],[])).
% 16.56/11.76 tff(28093,plain,
% 16.56/11.76 (v141(constB107) | v151(constB107)),
% 16.56/11.76 inference(unit_resolution,[status(thm)],[28092, 28091])).
% 16.56/11.76 tff(28094,plain,
% 16.56/11.76 ((~(v150(constB107) <=> (v141(constB107) | v151(constB107)))) | v150(constB107) | (~(v141(constB107) | v151(constB107)))),
% 16.56/11.76 inference(tautology,[status(thm)],[])).
% 16.56/11.76 tff(28095,plain,
% 16.56/11.76 (v150(constB107)),
% 16.56/11.76 inference(unit_resolution,[status(thm)],[28094, 28093, 28056])).
% 16.56/11.76 tff(28096,plain,
% 16.56/11.76 ((v142(constB107) | v150(constB107)) | (~v150(constB107))),
% 16.56/11.76 inference(tautology,[status(thm)],[])).
% 16.56/11.76 tff(28097,plain,
% 16.56/11.76 (v142(constB107) | v150(constB107)),
% 16.56/11.76 inference(unit_resolution,[status(thm)],[28096, 28095])).
% 16.56/11.76 tff(28098,plain,
% 16.56/11.76 ((~(v171(constB107) <=> (v142(constB107) | v150(constB107)))) | v171(constB107) | (~(v142(constB107) | v150(constB107)))),
% 16.56/11.76 inference(tautology,[status(thm)],[])).
% 16.56/11.76 tff(28099,plain,
% 16.56/11.76 (v171(constB107)),
% 16.56/11.76 inference(unit_resolution,[status(thm)],[28098, 28097, 28054])).
% 16.56/11.76 tff(28100,plain,
% 16.56/11.76 (((~![VarCurr: $i] : ((~v171(VarCurr)) | (~v170(VarCurr)))) | ((~v170(constB107)) | (~v171(constB107)))) <=> ((~![VarCurr: $i] : ((~v171(VarCurr)) | (~v170(VarCurr)))) | (~v170(constB107)) | (~v171(constB107)))),
% 16.56/11.76 inference(rewrite,[status(thm)],[])).
% 16.56/11.76 tff(28101,plain,
% 16.56/11.76 (((~v171(constB107)) | (~v170(constB107))) <=> ((~v170(constB107)) | (~v171(constB107)))),
% 16.56/11.76 inference(rewrite,[status(thm)],[])).
% 16.56/11.76 tff(28102,plain,
% 16.56/11.76 (((~![VarCurr: $i] : ((~v171(VarCurr)) | (~v170(VarCurr)))) | ((~v171(constB107)) | (~v170(constB107)))) <=> ((~![VarCurr: $i] : ((~v171(VarCurr)) | (~v170(VarCurr)))) | ((~v170(constB107)) | (~v171(constB107))))),
% 16.56/11.76 inference(monotonicity,[status(thm)],[28101])).
% 16.56/11.76 tff(28103,plain,
% 16.56/11.76 (((~![VarCurr: $i] : ((~v171(VarCurr)) | (~v170(VarCurr)))) | ((~v171(constB107)) | (~v170(constB107)))) <=> ((~![VarCurr: $i] : ((~v171(VarCurr)) | (~v170(VarCurr)))) | (~v170(constB107)) | (~v171(constB107)))),
% 16.56/11.76 inference(transitivity,[status(thm)],[28102, 28100])).
% 16.56/11.76 tff(28104,plain,
% 16.56/11.76 ((~![VarCurr: $i] : ((~v171(VarCurr)) | (~v170(VarCurr)))) | ((~v171(constB107)) | (~v170(constB107)))),
% 16.56/11.76 inference(quant_inst,[status(thm)],[])).
% 16.56/11.76 tff(28105,plain,
% 16.56/11.76 ((~![VarCurr: $i] : ((~v171(VarCurr)) | (~v170(VarCurr)))) | (~v170(constB107)) | (~v171(constB107))),
% 16.56/11.76 inference(modus_ponens,[status(thm)],[28104, 28103])).
% 16.56/11.76 tff(28106,plain,
% 16.56/11.76 ((~v170(constB107)) | (~v171(constB107))),
% 16.56/11.76 inference(unit_resolution,[status(thm)],[28105, 13061])).
% 16.56/11.76 tff(28107,plain,
% 16.56/11.76 (~v170(constB107)),
% 16.56/11.76 inference(unit_resolution,[status(thm)],[28106, 28099])).
% 16.56/11.76 tff(28108,plain,
% 16.56/11.76 ((~![VarCurr: $i] : (v166(VarCurr) <=> (v145(VarCurr) | v167(VarCurr)))) | (v166(constB107) <=> (v145(constB107) | v167(constB107)))),
% 16.56/11.76 inference(quant_inst,[status(thm)],[])).
% 16.56/11.76 tff(28109,plain,
% 16.56/11.76 (v166(constB107) <=> (v145(constB107) | v167(constB107))),
% 16.56/11.76 inference(unit_resolution,[status(thm)],[28108, 13079])).
% 16.56/11.76 tff(28110,plain,
% 16.56/11.76 ((~![VarCurr: $i] : (v167(VarCurr) <=> (v142(VarCurr) | v168(VarCurr)))) | (v167(constB107) <=> (v142(constB107) | v168(constB107)))),
% 16.56/11.76 inference(quant_inst,[status(thm)],[])).
% 16.56/11.76 tff(28111,plain,
% 16.56/11.76 (v167(constB107) <=> (v142(constB107) | v168(constB107))),
% 16.56/11.76 inference(unit_resolution,[status(thm)],[28110, 13091])).
% 16.56/11.76 tff(28112,plain,
% 16.56/11.76 ((~![VarCurr: $i] : (v168(VarCurr) <=> (v141(VarCurr) | v169(VarCurr)))) | (v168(constB107) <=> (v141(constB107) | v169(constB107)))),
% 16.56/11.76 inference(quant_inst,[status(thm)],[])).
% 16.56/11.76 tff(28113,plain,
% 16.56/11.76 (v168(constB107) <=> (v141(constB107) | v169(constB107))),
% 16.56/11.77 inference(unit_resolution,[status(thm)],[28112, 20513])).
% 16.56/11.77 tff(28114,plain,
% 16.56/11.77 ((~![VarCurr: $i] : (v169(VarCurr) <=> (v139(VarCurr) | v140(VarCurr)))) | (v169(constB107) <=> (v139(constB107) | v140(constB107)))),
% 16.56/11.77 inference(quant_inst,[status(thm)],[])).
% 16.56/11.77 tff(28115,plain,
% 16.56/11.77 (v169(constB107) <=> (v139(constB107) | v140(constB107))),
% 16.56/11.77 inference(unit_resolution,[status(thm)],[28114, 20522])).
% 16.56/11.77 tff(28116,plain,
% 16.56/11.77 ((~(v169(constB107) <=> (v139(constB107) | v140(constB107)))) | v169(constB107) | (~(v139(constB107) | v140(constB107)))),
% 16.56/11.77 inference(tautology,[status(thm)],[])).
% 16.56/11.77 tff(28117,plain,
% 16.56/11.77 (v169(constB107)),
% 16.56/11.77 inference(unit_resolution,[status(thm)],[28116, 28089, 28115])).
% 16.56/11.77 tff(28118,plain,
% 16.56/11.77 ((v141(constB107) | v169(constB107)) | (~v169(constB107))),
% 16.56/11.77 inference(tautology,[status(thm)],[])).
% 16.56/11.77 tff(28119,plain,
% 16.56/11.77 (v141(constB107) | v169(constB107)),
% 16.56/11.77 inference(unit_resolution,[status(thm)],[28118, 28117])).
% 16.56/11.77 tff(28120,plain,
% 16.56/11.77 ((~(v168(constB107) <=> (v141(constB107) | v169(constB107)))) | v168(constB107) | (~(v141(constB107) | v169(constB107)))),
% 16.56/11.77 inference(tautology,[status(thm)],[])).
% 16.56/11.77 tff(28121,plain,
% 16.56/11.77 (v168(constB107)),
% 16.56/11.77 inference(unit_resolution,[status(thm)],[28120, 28119, 28113])).
% 16.56/11.77 tff(28122,plain,
% 16.56/11.77 ((v142(constB107) | v168(constB107)) | (~v168(constB107))),
% 16.56/11.77 inference(tautology,[status(thm)],[])).
% 16.56/11.77 tff(28123,plain,
% 16.56/11.77 (v142(constB107) | v168(constB107)),
% 16.56/11.77 inference(unit_resolution,[status(thm)],[28122, 28121])).
% 16.56/11.77 tff(28124,plain,
% 16.56/11.77 ((~(v167(constB107) <=> (v142(constB107) | v168(constB107)))) | v167(constB107) | (~(v142(constB107) | v168(constB107)))),
% 16.56/11.77 inference(tautology,[status(thm)],[])).
% 16.56/11.77 tff(28125,plain,
% 16.56/11.77 (v167(constB107)),
% 16.56/11.77 inference(unit_resolution,[status(thm)],[28124, 28123, 28111])).
% 16.56/11.77 tff(28126,plain,
% 16.56/11.77 ((v145(constB107) | v167(constB107)) | (~v167(constB107))),
% 16.56/11.77 inference(tautology,[status(thm)],[])).
% 16.56/11.77 tff(28127,plain,
% 16.56/11.77 (v145(constB107) | v167(constB107)),
% 16.56/11.77 inference(unit_resolution,[status(thm)],[28126, 28125])).
% 16.56/11.77 tff(28128,plain,
% 16.56/11.77 ((~(v166(constB107) <=> (v145(constB107) | v167(constB107)))) | v166(constB107) | (~(v145(constB107) | v167(constB107)))),
% 16.56/11.77 inference(tautology,[status(thm)],[])).
% 16.56/11.77 tff(28129,plain,
% 16.56/11.77 (v166(constB107)),
% 16.56/11.77 inference(unit_resolution,[status(thm)],[28128, 28127, 28109])).
% 16.56/11.77 tff(28130,plain,
% 16.56/11.77 (((~![VarNext: $i] : ((~v166(VarNext)) | (v163(VarNext) <=> v170(VarNext)))) | ((~v166(constB107)) | (v163(constB107) <=> v170(constB107)))) <=> ((~![VarNext: $i] : ((~v166(VarNext)) | (v163(VarNext) <=> v170(VarNext)))) | (~v166(constB107)) | (v163(constB107) <=> v170(constB107)))),
% 16.56/11.77 inference(rewrite,[status(thm)],[])).
% 16.56/11.77 tff(28131,plain,
% 16.56/11.77 ((~![VarNext: $i] : ((~v166(VarNext)) | (v163(VarNext) <=> v170(VarNext)))) | ((~v166(constB107)) | (v163(constB107) <=> v170(constB107)))),
% 16.56/11.77 inference(quant_inst,[status(thm)],[])).
% 16.56/11.77 tff(28132,plain,
% 16.56/11.77 ((~![VarNext: $i] : ((~v166(VarNext)) | (v163(VarNext) <=> v170(VarNext)))) | (~v166(constB107)) | (v163(constB107) <=> v170(constB107))),
% 16.56/11.77 inference(modus_ponens,[status(thm)],[28131, 28130])).
% 16.56/11.77 tff(28133,plain,
% 16.56/11.77 ((~v166(constB107)) | (v163(constB107) <=> v170(constB107))),
% 16.56/11.77 inference(unit_resolution,[status(thm)],[28132, 13111])).
% 16.56/11.77 tff(28134,plain,
% 16.56/11.77 (v163(constB107) <=> v170(constB107)),
% 16.56/11.77 inference(unit_resolution,[status(thm)],[28133, 28129])).
% 16.56/11.77 tff(28135,plain,
% 16.56/11.77 ((~(v163(constB107) <=> v170(constB107))) | (~v163(constB107)) | v170(constB107)),
% 16.56/11.77 inference(tautology,[status(thm)],[])).
% 16.56/11.77 tff(28136,plain,
% 16.56/11.77 (~v163(constB107)),
% 16.56/11.77 inference(unit_resolution,[status(thm)],[28135, 28134, 28107])).
% 16.56/11.77 tff(28137,plain,
% 16.56/11.77 ((~(v161(constB107) <=> v163(constB107))) | (~v161(constB107)) | v163(constB107)),
% 16.56/11.77 inference(tautology,[status(thm)],[])).
% 16.56/11.77 tff(28138,plain,
% 16.56/11.77 (~v161(constB107)),
% 16.56/11.77 inference(unit_resolution,[status(thm)],[28137, 28136, 28052])).
% 16.56/11.77 tff(28139,plain,
% 16.56/11.77 ((~(v186(constB108) <=> v161(constB107))) | (~v186(constB108)) | v161(constB107)),
% 16.56/11.77 inference(tautology,[status(thm)],[])).
% 16.56/11.77 tff(28140,plain,
% 16.56/11.77 (~v186(constB108)),
% 16.56/11.77 inference(unit_resolution,[status(thm)],[28139, 28138, 28050])).
% 16.56/11.77 tff(28141,plain,
% 16.56/11.77 ((~(v159(constB108) <=> v186(constB108))) | (~v159(constB108)) | v186(constB108)),
% 16.56/11.77 inference(tautology,[status(thm)],[])).
% 16.56/11.77 tff(28142,plain,
% 16.56/11.77 (~v159(constB108)),
% 16.56/11.77 inference(unit_resolution,[status(thm)],[28141, 28140, 28046])).
% 16.56/11.77 tff(28143,plain,
% 16.56/11.77 ((~(v159(constB109) <=> v159(constB108))) | (~v159(constB109)) | v159(constB108)),
% 16.56/11.77 inference(tautology,[status(thm)],[])).
% 16.56/11.77 tff(28144,plain,
% 16.56/11.77 (~v159(constB109)),
% 16.56/11.77 inference(unit_resolution,[status(thm)],[28143, 28142, 28018])).
% 16.56/11.77 tff(28145,plain,
% 16.56/11.77 (((~v159(constB109)) | (~v161(constB109))) | v159(constB109)),
% 16.56/11.77 inference(tautology,[status(thm)],[])).
% 16.56/11.77 tff(28146,plain,
% 16.56/11.77 ((~v159(constB109)) | (~v161(constB109))),
% 16.56/11.77 inference(unit_resolution,[status(thm)],[28145, 28144])).
% 16.56/11.77 tff(28147,plain,
% 16.56/11.77 ((~(v201(constB109) <=> (~((~v159(constB109)) | (~v161(constB109)))))) | (~v201(constB109)) | (~((~v159(constB109)) | (~v161(constB109))))),
% 16.56/11.77 inference(tautology,[status(thm)],[])).
% 16.56/11.77 tff(28148,plain,
% 16.56/11.77 (~v201(constB109)),
% 16.56/11.77 inference(unit_resolution,[status(thm)],[28147, 28146, 27992])).
% 16.56/11.77 tff(28149,plain,
% 16.56/11.77 (((~v197(constB109)) | (~v201(constB109))) | v201(constB109)),
% 16.56/11.77 inference(tautology,[status(thm)],[])).
% 16.56/11.77 tff(28150,plain,
% 16.56/11.77 ((~v197(constB109)) | (~v201(constB109))),
% 16.56/11.77 inference(unit_resolution,[status(thm)],[28149, 28148])).
% 16.56/11.77 tff(28151,plain,
% 16.56/11.77 ((~(v200(constB109) <=> (~((~v197(constB109)) | (~v201(constB109)))))) | (~v200(constB109)) | (~((~v197(constB109)) | (~v201(constB109))))),
% 16.56/11.77 inference(tautology,[status(thm)],[])).
% 16.56/11.77 tff(28152,plain,
% 16.56/11.77 (~v200(constB109)),
% 16.56/11.77 inference(unit_resolution,[status(thm)],[28151, 28150, 27990])).
% 16.56/11.77 tff(28153,plain,
% 16.56/11.77 (((~v199(constB109)) | (~v200(constB109))) | v200(constB109)),
% 16.56/11.77 inference(tautology,[status(thm)],[])).
% 16.56/11.77 tff(28154,plain,
% 16.56/11.77 ((~v199(constB109)) | (~v200(constB109))),
% 16.56/11.77 inference(unit_resolution,[status(thm)],[28153, 28152])).
% 16.56/11.77 tff(28155,plain,
% 16.56/11.77 ((~(v198(constB109) <=> (~((~v199(constB109)) | (~v200(constB109)))))) | (~v198(constB109)) | (~((~v199(constB109)) | (~v200(constB109))))),
% 16.56/11.77 inference(tautology,[status(thm)],[])).
% 16.56/11.77 tff(28156,plain,
% 16.56/11.77 (~v198(constB109)),
% 16.56/11.77 inference(unit_resolution,[status(thm)],[28155, 28154, 27988])).
% 16.56/11.77 tff(28157,plain,
% 16.56/11.77 ((~(v194(constB109) | v198(constB109))) | v194(constB109) | v198(constB109)),
% 16.56/11.77 inference(tautology,[status(thm)],[])).
% 16.56/11.77 tff(28158,plain,
% 16.56/11.77 (~(v194(constB109) | v198(constB109))),
% 16.56/11.77 inference(unit_resolution,[status(thm)],[28157, 28156, 27986])).
% 16.56/11.77 tff(28159,plain,
% 16.56/11.77 ((~(v191(constB109) <=> (v194(constB109) | v198(constB109)))) | (~v191(constB109)) | (v194(constB109) | v198(constB109))),
% 16.56/11.77 inference(tautology,[status(thm)],[])).
% 16.56/11.77 tff(28160,plain,
% 16.56/11.77 (~v191(constB109)),
% 16.56/11.77 inference(unit_resolution,[status(thm)],[28159, 28158, 27913])).
% 16.56/11.77 tff(28161,plain,
% 16.56/11.77 ((~(v193(constB110) <=> v191(constB109))) | (~v193(constB110)) | v191(constB109)),
% 16.56/11.77 inference(tautology,[status(thm)],[])).
% 16.56/11.77 tff(28162,plain,
% 16.56/11.77 (~v193(constB110)),
% 16.56/11.77 inference(unit_resolution,[status(thm)],[28161, 28160, 27911])).
% 16.56/11.77 tff(28163,plain,
% 16.56/11.77 ((~(v157(constB110) <=> v193(constB110))) | (~v157(constB110)) | v193(constB110)),
% 16.56/11.77 inference(tautology,[status(thm)],[])).
% 16.56/11.77 tff(28164,plain,
% 16.56/11.77 (~v157(constB110)),
% 16.56/11.77 inference(unit_resolution,[status(thm)],[28163, 28162, 27907])).
% 16.56/11.77 tff(28165,plain,
% 16.56/11.77 (((~v157(constB110)) | (~v195(constB110))) | v157(constB110)),
% 16.56/11.77 inference(tautology,[status(thm)],[])).
% 16.56/11.77 tff(28166,plain,
% 16.56/11.77 ((~v157(constB110)) | (~v195(constB110))),
% 16.56/11.77 inference(unit_resolution,[status(thm)],[28165, 28164])).
% 16.56/11.77 tff(28167,plain,
% 16.56/11.77 ((~(v194(constB110) <=> (~((~v157(constB110)) | (~v195(constB110)))))) | (~v194(constB110)) | (~((~v157(constB110)) | (~v195(constB110))))),
% 16.56/11.77 inference(tautology,[status(thm)],[])).
% 16.56/11.77 tff(28168,plain,
% 16.56/11.77 (~v194(constB110)),
% 16.56/11.77 inference(unit_resolution,[status(thm)],[28167, 28166, 27905])).
% 16.56/11.77 tff(28169,plain,
% 16.56/11.77 ((~(v194(constB110) | v198(constB110))) | v194(constB110) | v198(constB110)),
% 16.56/11.77 inference(tautology,[status(thm)],[])).
% 16.56/11.77 tff(28170,plain,
% 16.56/11.77 (~(v194(constB110) | v198(constB110))),
% 16.56/11.77 inference(unit_resolution,[status(thm)],[28169, 28168, 27898])).
% 16.56/11.77 tff(28171,plain,
% 16.56/11.77 ((~(v191(constB110) <=> (v194(constB110) | v198(constB110)))) | (~v191(constB110)) | (v194(constB110) | v198(constB110))),
% 16.56/11.77 inference(tautology,[status(thm)],[])).
% 16.56/11.77 tff(28172,plain,
% 16.56/11.77 (~v191(constB110)),
% 16.56/11.77 inference(unit_resolution,[status(thm)],[28171, 28170, 27873])).
% 16.56/11.77 tff(28173,plain,
% 16.56/11.77 ((~(v193(constB111) <=> v191(constB110))) | (~v193(constB111)) | v191(constB110)),
% 16.56/11.77 inference(tautology,[status(thm)],[])).
% 16.56/11.77 tff(28174,plain,
% 16.56/11.77 (~v193(constB111)),
% 16.56/11.77 inference(unit_resolution,[status(thm)],[28173, 28172, 27871])).
% 16.56/11.77 tff(28175,plain,
% 16.56/11.77 ($false),
% 16.56/11.77 inference(unit_resolution,[status(thm)],[28174, 27867])).
% 16.56/11.77 tff(28176,plain,(~(constB111 = VarCurr!0)), inference(lemma,lemma(discharge,[]))).
% 16.56/11.77 tff(28177,assumption,(constB119 = VarCurr!0), introduced(assumption)).
% 16.56/11.77 tff(28178,plain,
% 16.56/11.77 (v86(constB119) <=> v86(VarCurr!0)),
% 16.56/11.77 inference(monotonicity,[status(thm)],[28177])).
% 16.56/11.77 tff(28179,plain,
% 16.56/11.77 (v86(VarCurr!0) <=> v86(constB119)),
% 16.56/11.77 inference(symmetry,[status(thm)],[28178])).
% 16.56/11.77 tff(28180,plain,
% 16.56/11.77 ((~v86(VarCurr!0)) <=> (~v86(constB119))),
% 16.56/11.77 inference(monotonicity,[status(thm)],[28179])).
% 16.56/11.77 tff(28181,plain,
% 16.56/11.77 (~v86(constB119)),
% 16.56/11.77 inference(modus_ponens,[status(thm)],[20649, 28180])).
% 16.56/11.77 tff(28182,plain,
% 16.56/11.77 ((~![VarCurr: $i] : (v142(VarCurr) <=> (v143(VarCurr) | v144(VarCurr)))) | (v142(constB119) <=> (v143(constB119) | v144(constB119)))),
% 16.56/11.77 inference(quant_inst,[status(thm)],[])).
% 16.56/11.77 tff(28183,plain,
% 16.56/11.77 (v142(constB119) <=> (v143(constB119) | v144(constB119))),
% 16.56/11.77 inference(unit_resolution,[status(thm)],[28182, 378])).
% 16.56/11.77 tff(28184,plain,
% 16.56/11.77 (((~![VarCurr: $i] : (v143(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)))))) | (v143(constB119) <=> (~(v88(constB119, bitIndex2) | (~v88(constB119, bitIndex1)) | v88(constB119, bitIndex0))))) <=> ((~![VarCurr: $i] : (v143(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)))))) | (v143(constB119) <=> (~(v88(constB119, bitIndex2) | (~v88(constB119, bitIndex1)) | v88(constB119, bitIndex0)))))),
% 16.56/11.77 inference(rewrite,[status(thm)],[])).
% 16.56/11.77 tff(28185,plain,
% 16.56/11.77 ((v143(constB119) <=> (~(v88(constB119, bitIndex0) | v88(constB119, bitIndex2) | (~v88(constB119, bitIndex1))))) <=> (v143(constB119) <=> (~(v88(constB119, bitIndex2) | (~v88(constB119, bitIndex1)) | v88(constB119, bitIndex0))))),
% 16.56/11.77 inference(rewrite,[status(thm)],[])).
% 16.56/11.77 tff(28186,plain,
% 16.56/11.77 (((~![VarCurr: $i] : (v143(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)))))) | (v143(constB119) <=> (~(v88(constB119, bitIndex0) | v88(constB119, bitIndex2) | (~v88(constB119, bitIndex1)))))) <=> ((~![VarCurr: $i] : (v143(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)))))) | (v143(constB119) <=> (~(v88(constB119, bitIndex2) | (~v88(constB119, bitIndex1)) | v88(constB119, bitIndex0)))))),
% 16.56/11.77 inference(monotonicity,[status(thm)],[28185])).
% 16.56/11.77 tff(28187,plain,
% 16.56/11.77 (((~![VarCurr: $i] : (v143(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)))))) | (v143(constB119) <=> (~(v88(constB119, bitIndex0) | v88(constB119, bitIndex2) | (~v88(constB119, bitIndex1)))))) <=> ((~![VarCurr: $i] : (v143(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)))))) | (v143(constB119) <=> (~(v88(constB119, bitIndex2) | (~v88(constB119, bitIndex1)) | v88(constB119, bitIndex0)))))),
% 16.56/11.77 inference(transitivity,[status(thm)],[28186, 28184])).
% 16.56/11.77 tff(28188,plain,
% 16.56/11.77 ((~![VarCurr: $i] : (v143(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)))))) | (v143(constB119) <=> (~(v88(constB119, bitIndex0) | v88(constB119, bitIndex2) | (~v88(constB119, bitIndex1)))))),
% 16.56/11.77 inference(quant_inst,[status(thm)],[])).
% 16.56/11.77 tff(28189,plain,
% 16.56/11.77 ((~![VarCurr: $i] : (v143(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)))))) | (v143(constB119) <=> (~(v88(constB119, bitIndex2) | (~v88(constB119, bitIndex1)) | v88(constB119, bitIndex0))))),
% 16.56/11.77 inference(modus_ponens,[status(thm)],[28188, 28187])).
% 16.56/11.77 tff(28190,plain,
% 16.56/11.77 (v143(constB119) <=> (~(v88(constB119, bitIndex2) | (~v88(constB119, bitIndex1)) | v88(constB119, bitIndex0)))),
% 16.56/11.77 inference(unit_resolution,[status(thm)],[28189, 20665])).
% 16.56/11.77 tff(28191,plain,
% 16.56/11.77 (((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | ((~less_3(bitIndex2)) | (v88(constB119, bitIndex2) <=> v90(constB119, bitIndex2)))) <=> ((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | (~less_3(bitIndex2)) | (v88(constB119, bitIndex2) <=> v90(constB119, bitIndex2)))),
% 16.56/11.77 inference(rewrite,[status(thm)],[])).
% 16.56/11.77 tff(28192,plain,
% 16.56/11.77 ((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | ((~less_3(bitIndex2)) | (v88(constB119, bitIndex2) <=> v90(constB119, bitIndex2)))),
% 16.56/11.77 inference(quant_inst,[status(thm)],[])).
% 16.56/11.77 tff(28193,plain,
% 16.56/11.77 ((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | (~less_3(bitIndex2)) | (v88(constB119, bitIndex2) <=> v90(constB119, bitIndex2))),
% 16.56/11.77 inference(modus_ponens,[status(thm)],[28192, 28191])).
% 16.56/11.77 tff(28194,plain,
% 16.56/11.77 (v88(constB119, bitIndex2) <=> v90(constB119, bitIndex2)),
% 16.56/11.77 inference(unit_resolution,[status(thm)],[28193, 413, 410])).
% 16.56/11.77 tff(28195,plain,
% 16.56/11.77 ((~(v88(constB119, bitIndex2) <=> v90(constB119, bitIndex2))) | (~v88(constB119, bitIndex2)) | v90(constB119, bitIndex2)),
% 16.56/11.77 inference(tautology,[status(thm)],[])).
% 16.56/11.77 tff(28196,plain,
% 16.56/11.77 (~v88(constB119, bitIndex2)),
% 16.56/11.77 inference(unit_resolution,[status(thm)],[28195, 18071, 28194])).
% 16.56/11.77 tff(28197,plain,
% 16.56/11.77 (((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | ((~less_3(bitIndex0)) | (v88(constB119, bitIndex0) <=> v90(constB119, bitIndex0)))) <=> ((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | (~less_3(bitIndex0)) | (v88(constB119, bitIndex0) <=> v90(constB119, bitIndex0)))),
% 16.56/11.77 inference(rewrite,[status(thm)],[])).
% 16.56/11.77 tff(28198,plain,
% 16.56/11.77 ((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | ((~less_3(bitIndex0)) | (v88(constB119, bitIndex0) <=> v90(constB119, bitIndex0)))),
% 16.56/11.77 inference(quant_inst,[status(thm)],[])).
% 16.56/11.77 tff(28199,plain,
% 16.56/11.77 ((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | (~less_3(bitIndex0)) | (v88(constB119, bitIndex0) <=> v90(constB119, bitIndex0))),
% 16.56/11.77 inference(modus_ponens,[status(thm)],[28198, 28197])).
% 16.56/11.77 tff(28200,plain,
% 16.56/11.77 (v88(constB119, bitIndex0) <=> v90(constB119, bitIndex0)),
% 16.56/11.77 inference(unit_resolution,[status(thm)],[28199, 5004, 410])).
% 16.56/11.77 tff(28201,plain,
% 16.56/11.77 ((~(v88(constB119, bitIndex0) <=> v90(constB119, bitIndex0))) | (~v88(constB119, bitIndex0)) | v90(constB119, bitIndex0)),
% 16.56/11.77 inference(tautology,[status(thm)],[])).
% 16.56/11.77 tff(28202,plain,
% 16.56/11.77 (~v88(constB119, bitIndex0)),
% 16.56/11.77 inference(unit_resolution,[status(thm)],[28201, 18102, 28200])).
% 16.56/11.77 tff(28203,plain,
% 16.56/11.77 (((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | ((~less_3(bitIndex1)) | (v88(constB119, bitIndex1) <=> v90(constB119, bitIndex1)))) <=> ((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | (~less_3(bitIndex1)) | (v88(constB119, bitIndex1) <=> v90(constB119, bitIndex1)))),
% 16.56/11.77 inference(rewrite,[status(thm)],[])).
% 16.56/11.77 tff(28204,plain,
% 16.56/11.77 ((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | ((~less_3(bitIndex1)) | (v88(constB119, bitIndex1) <=> v90(constB119, bitIndex1)))),
% 16.56/11.77 inference(quant_inst,[status(thm)],[])).
% 16.56/11.77 tff(28205,plain,
% 16.56/11.77 ((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | (~less_3(bitIndex1)) | (v88(constB119, bitIndex1) <=> v90(constB119, bitIndex1))),
% 16.56/11.77 inference(modus_ponens,[status(thm)],[28204, 28203])).
% 16.56/11.77 tff(28206,plain,
% 16.56/11.77 (v88(constB119, bitIndex1) <=> v90(constB119, bitIndex1)),
% 16.56/11.77 inference(unit_resolution,[status(thm)],[28205, 5017, 410])).
% 16.56/11.78 tff(28207,plain,
% 16.56/11.78 ((~(v88(constB119, bitIndex1) <=> v90(constB119, bitIndex1))) | v88(constB119, bitIndex1) | (~v90(constB119, bitIndex1))),
% 16.56/11.78 inference(tautology,[status(thm)],[])).
% 16.56/11.78 tff(28208,plain,
% 16.56/11.78 (v88(constB119, bitIndex1)),
% 16.56/11.78 inference(unit_resolution,[status(thm)],[28207, 18133, 28206])).
% 16.56/11.78 tff(28209,plain,
% 16.56/11.78 ((~(v88(constB119, bitIndex2) | (~v88(constB119, bitIndex1)) | v88(constB119, bitIndex0))) | v88(constB119, bitIndex2) | (~v88(constB119, bitIndex1)) | v88(constB119, bitIndex0)),
% 16.56/11.78 inference(tautology,[status(thm)],[])).
% 16.56/11.78 tff(28210,plain,
% 16.56/11.78 (~(v88(constB119, bitIndex2) | (~v88(constB119, bitIndex1)) | v88(constB119, bitIndex0))),
% 16.56/11.78 inference(unit_resolution,[status(thm)],[28209, 28208, 28202, 28196])).
% 16.56/11.78 tff(28211,plain,
% 16.56/11.78 ((~(v143(constB119) <=> (~(v88(constB119, bitIndex2) | (~v88(constB119, bitIndex1)) | v88(constB119, bitIndex0))))) | v143(constB119) | (v88(constB119, bitIndex2) | (~v88(constB119, bitIndex1)) | v88(constB119, bitIndex0))),
% 16.56/11.78 inference(tautology,[status(thm)],[])).
% 16.56/11.78 tff(28212,plain,
% 16.56/11.78 (v143(constB119)),
% 16.56/11.78 inference(unit_resolution,[status(thm)],[28211, 28210, 28190])).
% 16.56/11.78 tff(28213,plain,
% 16.56/11.78 ((v143(constB119) | v144(constB119)) | (~v143(constB119))),
% 16.56/11.78 inference(tautology,[status(thm)],[])).
% 16.56/11.78 tff(28214,plain,
% 16.56/11.78 (v143(constB119) | v144(constB119)),
% 16.56/11.78 inference(unit_resolution,[status(thm)],[28213, 28212])).
% 16.56/11.78 tff(28215,plain,
% 16.56/11.78 ((~(v142(constB119) <=> (v143(constB119) | v144(constB119)))) | v142(constB119) | (~(v143(constB119) | v144(constB119)))),
% 16.56/11.78 inference(tautology,[status(thm)],[])).
% 16.56/11.78 tff(28216,plain,
% 16.56/11.78 (v142(constB119)),
% 16.56/11.78 inference(unit_resolution,[status(thm)],[28215, 28214, 28183])).
% 16.56/11.78 tff(28217,plain,
% 16.56/11.78 (((~![VarCurr: $i] : (v148(VarCurr) | (~v142(VarCurr)))) | (v148(constB119) | (~v142(constB119)))) <=> ((~![VarCurr: $i] : (v148(VarCurr) | (~v142(VarCurr)))) | v148(constB119) | (~v142(constB119)))),
% 16.56/11.78 inference(rewrite,[status(thm)],[])).
% 16.56/11.78 tff(28218,plain,
% 16.56/11.78 ((~![VarCurr: $i] : (v148(VarCurr) | (~v142(VarCurr)))) | (v148(constB119) | (~v142(constB119)))),
% 16.56/11.78 inference(quant_inst,[status(thm)],[])).
% 16.56/11.78 tff(28219,plain,
% 16.56/11.78 ((~![VarCurr: $i] : (v148(VarCurr) | (~v142(VarCurr)))) | v148(constB119) | (~v142(constB119))),
% 16.56/11.78 inference(modus_ponens,[status(thm)],[28218, 28217])).
% 16.56/11.78 tff(28220,plain,
% 16.56/11.78 (v148(constB119) | (~v142(constB119))),
% 16.56/11.78 inference(unit_resolution,[status(thm)],[28219, 23525])).
% 16.56/11.78 tff(28221,plain,
% 16.56/11.78 (v148(constB119)),
% 16.56/11.78 inference(unit_resolution,[status(thm)],[28220, 28216])).
% 16.56/11.78 tff(28222,plain,
% 16.56/11.78 ((~![VarCurr: $i] : (v135(VarCurr) <=> (v136(VarCurr) | v145(VarCurr)))) | (v135(constB119) <=> (v136(constB119) | v145(constB119)))),
% 16.56/11.78 inference(quant_inst,[status(thm)],[])).
% 16.56/11.78 tff(28223,plain,
% 16.56/11.78 (v135(constB119) <=> (v136(constB119) | v145(constB119))),
% 16.56/11.78 inference(unit_resolution,[status(thm)],[28222, 23537])).
% 16.56/11.78 tff(28224,plain,
% 16.56/11.78 ((~![VarCurr: $i] : (v136(VarCurr) <=> (v137(VarCurr) | v142(VarCurr)))) | (v136(constB119) <=> (v137(constB119) | v142(constB119)))),
% 16.56/11.78 inference(quant_inst,[status(thm)],[])).
% 16.56/11.78 tff(28225,plain,
% 16.56/11.78 (v136(constB119) <=> (v137(constB119) | v142(constB119))),
% 16.56/11.78 inference(unit_resolution,[status(thm)],[28224, 23546])).
% 16.56/11.78 tff(28226,plain,
% 16.56/11.78 ((v137(constB119) | v142(constB119)) | (~v142(constB119))),
% 16.56/11.78 inference(tautology,[status(thm)],[])).
% 16.56/11.78 tff(28227,plain,
% 16.56/11.78 (v137(constB119) | v142(constB119)),
% 16.56/11.78 inference(unit_resolution,[status(thm)],[28226, 28216])).
% 16.56/11.78 tff(28228,plain,
% 16.56/11.78 ((~(v136(constB119) <=> (v137(constB119) | v142(constB119)))) | v136(constB119) | (~(v137(constB119) | v142(constB119)))),
% 16.56/11.78 inference(tautology,[status(thm)],[])).
% 16.56/11.78 tff(28229,plain,
% 16.56/11.78 (v136(constB119)),
% 16.56/11.78 inference(unit_resolution,[status(thm)],[28228, 28227, 28225])).
% 16.56/11.78 tff(28230,plain,
% 16.56/11.78 ((v136(constB119) | v145(constB119)) | (~v136(constB119))),
% 16.56/11.78 inference(tautology,[status(thm)],[])).
% 16.56/11.78 tff(28231,plain,
% 16.56/11.78 (v136(constB119) | v145(constB119)),
% 16.56/11.78 inference(unit_resolution,[status(thm)],[28230, 28229])).
% 16.56/11.78 tff(28232,plain,
% 16.56/11.78 ((~(v135(constB119) <=> (v136(constB119) | v145(constB119)))) | v135(constB119) | (~(v136(constB119) | v145(constB119)))),
% 16.58/11.78 inference(tautology,[status(thm)],[])).
% 16.58/11.78 tff(28233,plain,
% 16.58/11.78 (v135(constB119)),
% 16.58/11.78 inference(unit_resolution,[status(thm)],[28232, 28231, 28223])).
% 16.58/11.78 tff(28234,plain,
% 16.58/11.78 (((~![VarNext: $i] : ((~v135(VarNext)) | (v86(VarNext) <=> v148(VarNext)))) | ((~v135(constB119)) | (v86(constB119) <=> v148(constB119)))) <=> ((~![VarNext: $i] : ((~v135(VarNext)) | (v86(VarNext) <=> v148(VarNext)))) | (~v135(constB119)) | (v86(constB119) <=> v148(constB119)))),
% 16.58/11.78 inference(rewrite,[status(thm)],[])).
% 16.58/11.78 tff(28235,plain,
% 16.58/11.78 ((~![VarNext: $i] : ((~v135(VarNext)) | (v86(VarNext) <=> v148(VarNext)))) | ((~v135(constB119)) | (v86(constB119) <=> v148(constB119)))),
% 16.58/11.78 inference(quant_inst,[status(thm)],[])).
% 16.58/11.78 tff(28236,plain,
% 16.58/11.78 ((~![VarNext: $i] : ((~v135(VarNext)) | (v86(VarNext) <=> v148(VarNext)))) | (~v135(constB119)) | (v86(constB119) <=> v148(constB119))),
% 16.58/11.78 inference(modus_ponens,[status(thm)],[28235, 28234])).
% 16.58/11.78 tff(28237,plain,
% 16.58/11.78 ((~v135(constB119)) | (v86(constB119) <=> v148(constB119))),
% 16.58/11.78 inference(unit_resolution,[status(thm)],[28236, 23566])).
% 16.58/11.78 tff(28238,plain,
% 16.58/11.78 (v86(constB119) <=> v148(constB119)),
% 16.58/11.78 inference(unit_resolution,[status(thm)],[28237, 28233])).
% 16.58/11.78 tff(28239,plain,
% 16.58/11.78 ((~(v86(constB119) <=> v148(constB119))) | v86(constB119) | (~v148(constB119))),
% 16.58/11.78 inference(tautology,[status(thm)],[])).
% 16.58/11.78 tff(28240,plain,
% 16.58/11.78 (v86(constB119)),
% 16.58/11.78 inference(unit_resolution,[status(thm)],[28239, 28238, 28221])).
% 16.58/11.78 tff(28241,plain,
% 16.58/11.78 ($false),
% 16.58/11.78 inference(unit_resolution,[status(thm)],[28240, 28181])).
% 16.58/11.78 tff(28242,plain,(~(constB119 = VarCurr!0)), inference(lemma,lemma(discharge,[]))).
% 16.58/11.78 tff(28243,assumption,(constB139 = VarCurr!0), introduced(assumption)).
% 16.58/11.78 tff(28244,plain,
% 16.58/11.78 (v86(constB139) <=> v86(VarCurr!0)),
% 16.58/11.78 inference(monotonicity,[status(thm)],[28243])).
% 16.58/11.78 tff(28245,plain,
% 16.58/11.78 (v86(VarCurr!0) <=> v86(constB139)),
% 16.58/11.78 inference(symmetry,[status(thm)],[28244])).
% 16.58/11.78 tff(28246,plain,
% 16.58/11.78 ((~v86(VarCurr!0)) <=> (~v86(constB139))),
% 16.58/11.78 inference(monotonicity,[status(thm)],[28245])).
% 16.58/11.78 tff(28247,plain,
% 16.58/11.78 (~v86(constB139)),
% 16.58/11.78 inference(modus_ponens,[status(thm)],[20649, 28246])).
% 16.58/11.78 tff(28248,plain,
% 16.58/11.78 ((~![VarCurr: $i] : (v142(VarCurr) <=> (v143(VarCurr) | v144(VarCurr)))) | (v142(constB139) <=> (v143(constB139) | v144(constB139)))),
% 16.58/11.78 inference(quant_inst,[status(thm)],[])).
% 16.58/11.78 tff(28249,plain,
% 16.58/11.78 (v142(constB139) <=> (v143(constB139) | v144(constB139))),
% 16.58/11.78 inference(unit_resolution,[status(thm)],[28248, 378])).
% 16.58/11.78 tff(28250,plain,
% 16.58/11.78 (((~![VarCurr: $i] : (v143(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)))))) | (v143(constB139) <=> (~(v88(constB139, bitIndex2) | (~v88(constB139, bitIndex1)) | v88(constB139, bitIndex0))))) <=> ((~![VarCurr: $i] : (v143(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)))))) | (v143(constB139) <=> (~(v88(constB139, bitIndex2) | (~v88(constB139, bitIndex1)) | v88(constB139, bitIndex0)))))),
% 16.58/11.78 inference(rewrite,[status(thm)],[])).
% 16.58/11.78 tff(28251,plain,
% 16.58/11.78 ((v143(constB139) <=> (~(v88(constB139, bitIndex0) | v88(constB139, bitIndex2) | (~v88(constB139, bitIndex1))))) <=> (v143(constB139) <=> (~(v88(constB139, bitIndex2) | (~v88(constB139, bitIndex1)) | v88(constB139, bitIndex0))))),
% 16.58/11.78 inference(rewrite,[status(thm)],[])).
% 16.58/11.78 tff(28252,plain,
% 16.58/11.78 (((~![VarCurr: $i] : (v143(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)))))) | (v143(constB139) <=> (~(v88(constB139, bitIndex0) | v88(constB139, bitIndex2) | (~v88(constB139, bitIndex1)))))) <=> ((~![VarCurr: $i] : (v143(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)))))) | (v143(constB139) <=> (~(v88(constB139, bitIndex2) | (~v88(constB139, bitIndex1)) | v88(constB139, bitIndex0)))))),
% 16.58/11.78 inference(monotonicity,[status(thm)],[28251])).
% 16.58/11.78 tff(28253,plain,
% 16.58/11.78 (((~![VarCurr: $i] : (v143(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)))))) | (v143(constB139) <=> (~(v88(constB139, bitIndex0) | v88(constB139, bitIndex2) | (~v88(constB139, bitIndex1)))))) <=> ((~![VarCurr: $i] : (v143(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)))))) | (v143(constB139) <=> (~(v88(constB139, bitIndex2) | (~v88(constB139, bitIndex1)) | v88(constB139, bitIndex0)))))),
% 16.58/11.78 inference(transitivity,[status(thm)],[28252, 28250])).
% 16.58/11.78 tff(28254,plain,
% 16.58/11.78 ((~![VarCurr: $i] : (v143(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)))))) | (v143(constB139) <=> (~(v88(constB139, bitIndex0) | v88(constB139, bitIndex2) | (~v88(constB139, bitIndex1)))))),
% 16.58/11.78 inference(quant_inst,[status(thm)],[])).
% 16.58/11.78 tff(28255,plain,
% 16.58/11.78 ((~![VarCurr: $i] : (v143(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)))))) | (v143(constB139) <=> (~(v88(constB139, bitIndex2) | (~v88(constB139, bitIndex1)) | v88(constB139, bitIndex0))))),
% 16.58/11.78 inference(modus_ponens,[status(thm)],[28254, 28253])).
% 16.58/11.78 tff(28256,plain,
% 16.58/11.78 (v143(constB139) <=> (~(v88(constB139, bitIndex2) | (~v88(constB139, bitIndex1)) | v88(constB139, bitIndex0)))),
% 16.58/11.78 inference(unit_resolution,[status(thm)],[28255, 20665])).
% 16.58/11.78 tff(28257,plain,
% 16.58/11.78 (((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | ((~less_3(bitIndex2)) | (v88(constB139, bitIndex2) <=> v90(constB139, bitIndex2)))) <=> ((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | (~less_3(bitIndex2)) | (v88(constB139, bitIndex2) <=> v90(constB139, bitIndex2)))),
% 16.58/11.78 inference(rewrite,[status(thm)],[])).
% 16.58/11.78 tff(28258,plain,
% 16.58/11.78 ((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | ((~less_3(bitIndex2)) | (v88(constB139, bitIndex2) <=> v90(constB139, bitIndex2)))),
% 16.58/11.78 inference(quant_inst,[status(thm)],[])).
% 16.58/11.78 tff(28259,plain,
% 16.58/11.78 ((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | (~less_3(bitIndex2)) | (v88(constB139, bitIndex2) <=> v90(constB139, bitIndex2))),
% 16.58/11.78 inference(modus_ponens,[status(thm)],[28258, 28257])).
% 16.58/11.78 tff(28260,plain,
% 16.58/11.78 (v88(constB139, bitIndex2) <=> v90(constB139, bitIndex2)),
% 16.58/11.78 inference(unit_resolution,[status(thm)],[28259, 413, 410])).
% 16.58/11.78 tff(28261,plain,
% 16.58/11.78 ((~(v88(constB139, bitIndex2) <=> v90(constB139, bitIndex2))) | (~v88(constB139, bitIndex2)) | v90(constB139, bitIndex2)),
% 16.58/11.78 inference(tautology,[status(thm)],[])).
% 16.58/11.78 tff(28262,plain,
% 16.58/11.78 (~v88(constB139, bitIndex2)),
% 16.58/11.78 inference(unit_resolution,[status(thm)],[28261, 19731, 28260])).
% 16.58/11.78 tff(28263,plain,
% 16.58/11.78 (((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | ((~less_3(bitIndex0)) | (v88(constB139, bitIndex0) <=> v90(constB139, bitIndex0)))) <=> ((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | (~less_3(bitIndex0)) | (v88(constB139, bitIndex0) <=> v90(constB139, bitIndex0)))),
% 16.58/11.78 inference(rewrite,[status(thm)],[])).
% 16.58/11.78 tff(28264,plain,
% 16.58/11.78 ((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | ((~less_3(bitIndex0)) | (v88(constB139, bitIndex0) <=> v90(constB139, bitIndex0)))),
% 16.58/11.78 inference(quant_inst,[status(thm)],[])).
% 16.58/11.78 tff(28265,plain,
% 16.58/11.78 ((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | (~less_3(bitIndex0)) | (v88(constB139, bitIndex0) <=> v90(constB139, bitIndex0))),
% 16.58/11.78 inference(modus_ponens,[status(thm)],[28264, 28263])).
% 16.58/11.78 tff(28266,plain,
% 16.58/11.78 (v88(constB139, bitIndex0) <=> v90(constB139, bitIndex0)),
% 16.58/11.78 inference(unit_resolution,[status(thm)],[28265, 5004, 410])).
% 16.58/11.78 tff(28267,plain,
% 16.58/11.78 ((~(v88(constB139, bitIndex0) <=> v90(constB139, bitIndex0))) | (~v88(constB139, bitIndex0)) | v90(constB139, bitIndex0)),
% 16.58/11.78 inference(tautology,[status(thm)],[])).
% 16.58/11.78 tff(28268,plain,
% 16.58/11.78 (~v88(constB139, bitIndex0)),
% 16.58/11.78 inference(unit_resolution,[status(thm)],[28267, 19762, 28266])).
% 16.58/11.78 tff(28269,plain,
% 16.58/11.78 (((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | ((~less_3(bitIndex1)) | (v88(constB139, bitIndex1) <=> v90(constB139, bitIndex1)))) <=> ((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | (~less_3(bitIndex1)) | (v88(constB139, bitIndex1) <=> v90(constB139, bitIndex1)))),
% 16.58/11.78 inference(rewrite,[status(thm)],[])).
% 16.58/11.78 tff(28270,plain,
% 16.58/11.78 ((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | ((~less_3(bitIndex1)) | (v88(constB139, bitIndex1) <=> v90(constB139, bitIndex1)))),
% 16.58/11.78 inference(quant_inst,[status(thm)],[])).
% 16.58/11.78 tff(28271,plain,
% 16.58/11.78 ((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | (~less_3(bitIndex1)) | (v88(constB139, bitIndex1) <=> v90(constB139, bitIndex1))),
% 16.58/11.78 inference(modus_ponens,[status(thm)],[28270, 28269])).
% 16.58/11.78 tff(28272,plain,
% 16.58/11.78 (v88(constB139, bitIndex1) <=> v90(constB139, bitIndex1)),
% 16.58/11.78 inference(unit_resolution,[status(thm)],[28271, 5017, 410])).
% 16.58/11.78 tff(28273,plain,
% 16.58/11.78 ((~(v88(constB139, bitIndex1) <=> v90(constB139, bitIndex1))) | v88(constB139, bitIndex1) | (~v90(constB139, bitIndex1))),
% 16.58/11.78 inference(tautology,[status(thm)],[])).
% 16.58/11.78 tff(28274,plain,
% 16.58/11.78 (v88(constB139, bitIndex1)),
% 16.58/11.78 inference(unit_resolution,[status(thm)],[28273, 19793, 28272])).
% 16.58/11.78 tff(28275,plain,
% 16.58/11.78 ((~(v88(constB139, bitIndex2) | (~v88(constB139, bitIndex1)) | v88(constB139, bitIndex0))) | v88(constB139, bitIndex2) | (~v88(constB139, bitIndex1)) | v88(constB139, bitIndex0)),
% 16.58/11.78 inference(tautology,[status(thm)],[])).
% 16.58/11.78 tff(28276,plain,
% 16.58/11.78 (~(v88(constB139, bitIndex2) | (~v88(constB139, bitIndex1)) | v88(constB139, bitIndex0))),
% 16.58/11.78 inference(unit_resolution,[status(thm)],[28275, 28274, 28268, 28262])).
% 16.58/11.78 tff(28277,plain,
% 16.58/11.78 ((~(v143(constB139) <=> (~(v88(constB139, bitIndex2) | (~v88(constB139, bitIndex1)) | v88(constB139, bitIndex0))))) | v143(constB139) | (v88(constB139, bitIndex2) | (~v88(constB139, bitIndex1)) | v88(constB139, bitIndex0))),
% 16.58/11.78 inference(tautology,[status(thm)],[])).
% 16.58/11.78 tff(28278,plain,
% 16.58/11.78 (v143(constB139)),
% 16.58/11.78 inference(unit_resolution,[status(thm)],[28277, 28276, 28256])).
% 16.58/11.78 tff(28279,plain,
% 16.58/11.78 ((v143(constB139) | v144(constB139)) | (~v143(constB139))),
% 16.58/11.78 inference(tautology,[status(thm)],[])).
% 16.58/11.78 tff(28280,plain,
% 16.58/11.78 (v143(constB139) | v144(constB139)),
% 16.58/11.78 inference(unit_resolution,[status(thm)],[28279, 28278])).
% 16.58/11.78 tff(28281,plain,
% 16.58/11.78 ((~(v142(constB139) <=> (v143(constB139) | v144(constB139)))) | v142(constB139) | (~(v143(constB139) | v144(constB139)))),
% 16.58/11.78 inference(tautology,[status(thm)],[])).
% 16.58/11.78 tff(28282,plain,
% 16.58/11.78 (v142(constB139)),
% 16.58/11.78 inference(unit_resolution,[status(thm)],[28281, 28280, 28249])).
% 16.58/11.78 tff(28283,plain,
% 16.58/11.78 (((~![VarCurr: $i] : (v148(VarCurr) | (~v142(VarCurr)))) | (v148(constB139) | (~v142(constB139)))) <=> ((~![VarCurr: $i] : (v148(VarCurr) | (~v142(VarCurr)))) | v148(constB139) | (~v142(constB139)))),
% 16.58/11.78 inference(rewrite,[status(thm)],[])).
% 16.58/11.78 tff(28284,plain,
% 16.58/11.78 ((~![VarCurr: $i] : (v148(VarCurr) | (~v142(VarCurr)))) | (v148(constB139) | (~v142(constB139)))),
% 16.58/11.78 inference(quant_inst,[status(thm)],[])).
% 16.58/11.78 tff(28285,plain,
% 16.58/11.78 ((~![VarCurr: $i] : (v148(VarCurr) | (~v142(VarCurr)))) | v148(constB139) | (~v142(constB139))),
% 16.58/11.78 inference(modus_ponens,[status(thm)],[28284, 28283])).
% 16.58/11.78 tff(28286,plain,
% 16.58/11.78 (v148(constB139) | (~v142(constB139))),
% 16.58/11.78 inference(unit_resolution,[status(thm)],[28285, 23525])).
% 16.58/11.78 tff(28287,plain,
% 16.58/11.78 (v148(constB139)),
% 16.58/11.78 inference(unit_resolution,[status(thm)],[28286, 28282])).
% 16.58/11.78 tff(28288,plain,
% 16.58/11.78 ((~![VarCurr: $i] : (v135(VarCurr) <=> (v136(VarCurr) | v145(VarCurr)))) | (v135(constB139) <=> (v136(constB139) | v145(constB139)))),
% 16.58/11.78 inference(quant_inst,[status(thm)],[])).
% 16.58/11.78 tff(28289,plain,
% 16.58/11.78 (v135(constB139) <=> (v136(constB139) | v145(constB139))),
% 16.58/11.78 inference(unit_resolution,[status(thm)],[28288, 23537])).
% 16.58/11.78 tff(28290,plain,
% 16.58/11.78 ((~![VarCurr: $i] : (v136(VarCurr) <=> (v137(VarCurr) | v142(VarCurr)))) | (v136(constB139) <=> (v137(constB139) | v142(constB139)))),
% 16.58/11.78 inference(quant_inst,[status(thm)],[])).
% 16.58/11.78 tff(28291,plain,
% 16.58/11.78 (v136(constB139) <=> (v137(constB139) | v142(constB139))),
% 16.58/11.78 inference(unit_resolution,[status(thm)],[28290, 23546])).
% 16.58/11.78 tff(28292,plain,
% 16.58/11.78 ((v137(constB139) | v142(constB139)) | (~v142(constB139))),
% 16.58/11.79 inference(tautology,[status(thm)],[])).
% 16.58/11.79 tff(28293,plain,
% 16.58/11.79 (v137(constB139) | v142(constB139)),
% 16.58/11.79 inference(unit_resolution,[status(thm)],[28292, 28282])).
% 16.58/11.79 tff(28294,plain,
% 16.58/11.79 ((~(v136(constB139) <=> (v137(constB139) | v142(constB139)))) | v136(constB139) | (~(v137(constB139) | v142(constB139)))),
% 16.58/11.79 inference(tautology,[status(thm)],[])).
% 16.58/11.79 tff(28295,plain,
% 16.58/11.79 (v136(constB139)),
% 16.58/11.79 inference(unit_resolution,[status(thm)],[28294, 28293, 28291])).
% 16.58/11.79 tff(28296,plain,
% 16.58/11.79 ((v136(constB139) | v145(constB139)) | (~v136(constB139))),
% 16.58/11.79 inference(tautology,[status(thm)],[])).
% 16.58/11.79 tff(28297,plain,
% 16.58/11.79 (v136(constB139) | v145(constB139)),
% 16.58/11.79 inference(unit_resolution,[status(thm)],[28296, 28295])).
% 16.58/11.79 tff(28298,plain,
% 16.58/11.79 ((~(v135(constB139) <=> (v136(constB139) | v145(constB139)))) | v135(constB139) | (~(v136(constB139) | v145(constB139)))),
% 16.58/11.79 inference(tautology,[status(thm)],[])).
% 16.58/11.79 tff(28299,plain,
% 16.58/11.79 (v135(constB139)),
% 16.58/11.79 inference(unit_resolution,[status(thm)],[28298, 28297, 28289])).
% 16.58/11.79 tff(28300,plain,
% 16.58/11.79 (((~![VarNext: $i] : ((~v135(VarNext)) | (v86(VarNext) <=> v148(VarNext)))) | ((~v135(constB139)) | (v86(constB139) <=> v148(constB139)))) <=> ((~![VarNext: $i] : ((~v135(VarNext)) | (v86(VarNext) <=> v148(VarNext)))) | (~v135(constB139)) | (v86(constB139) <=> v148(constB139)))),
% 16.58/11.79 inference(rewrite,[status(thm)],[])).
% 16.58/11.79 tff(28301,plain,
% 16.58/11.79 ((~![VarNext: $i] : ((~v135(VarNext)) | (v86(VarNext) <=> v148(VarNext)))) | ((~v135(constB139)) | (v86(constB139) <=> v148(constB139)))),
% 16.58/11.79 inference(quant_inst,[status(thm)],[])).
% 16.58/11.79 tff(28302,plain,
% 16.58/11.79 ((~![VarNext: $i] : ((~v135(VarNext)) | (v86(VarNext) <=> v148(VarNext)))) | (~v135(constB139)) | (v86(constB139) <=> v148(constB139))),
% 16.58/11.79 inference(modus_ponens,[status(thm)],[28301, 28300])).
% 16.58/11.79 tff(28303,plain,
% 16.58/11.79 ((~v135(constB139)) | (v86(constB139) <=> v148(constB139))),
% 16.58/11.79 inference(unit_resolution,[status(thm)],[28302, 23566])).
% 16.58/11.79 tff(28304,plain,
% 16.58/11.79 (v86(constB139) <=> v148(constB139)),
% 16.58/11.79 inference(unit_resolution,[status(thm)],[28303, 28299])).
% 16.58/11.79 tff(28305,plain,
% 16.58/11.79 ((~(v86(constB139) <=> v148(constB139))) | v86(constB139) | (~v148(constB139))),
% 16.58/11.79 inference(tautology,[status(thm)],[])).
% 16.58/11.79 tff(28306,plain,
% 16.58/11.79 (v86(constB139)),
% 16.58/11.79 inference(unit_resolution,[status(thm)],[28305, 28304, 28287])).
% 16.58/11.79 tff(28307,plain,
% 16.58/11.79 ($false),
% 16.58/11.79 inference(unit_resolution,[status(thm)],[28306, 28247])).
% 16.58/11.79 tff(28308,plain,(~(constB139 = VarCurr!0)), inference(lemma,lemma(discharge,[]))).
% 16.58/11.79 tff(28309,assumption,(constB133 = VarCurr!0), introduced(assumption)).
% 16.58/11.79 tff(28310,plain,
% 16.58/11.79 (v193(constB133) <=> v193(VarCurr!0)),
% 16.58/11.79 inference(monotonicity,[status(thm)],[28309])).
% 16.58/11.79 tff(28311,plain,
% 16.58/11.79 (v193(VarCurr!0) <=> v193(constB133)),
% 16.58/11.79 inference(symmetry,[status(thm)],[28310])).
% 16.58/11.79 tff(28312,plain,
% 16.58/11.79 (v193(constB133)),
% 16.58/11.79 inference(modus_ponens,[status(thm)],[59, 28311])).
% 16.58/11.79 tff(28313,plain,
% 16.58/11.79 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v193(VarNext) <=> v191(VarCurr)))) | ((~nextState(constB132, constB133)) | (v193(constB133) <=> v191(constB132)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v193(VarNext) <=> v191(VarCurr)))) | (~nextState(constB132, constB133)) | (v193(constB133) <=> v191(constB132)))),
% 16.58/11.79 inference(rewrite,[status(thm)],[])).
% 16.58/11.79 tff(28314,plain,
% 16.58/11.79 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v193(VarNext) <=> v191(VarCurr)))) | ((~nextState(constB132, constB133)) | (v193(constB133) <=> v191(constB132)))),
% 16.58/11.79 inference(quant_inst,[status(thm)],[])).
% 16.58/11.79 tff(28315,plain,
% 16.58/11.79 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v193(VarNext) <=> v191(VarCurr)))) | (~nextState(constB132, constB133)) | (v193(constB133) <=> v191(constB132))),
% 16.58/11.79 inference(modus_ponens,[status(thm)],[28314, 28313])).
% 16.58/11.79 tff(28316,plain,
% 16.58/11.79 (v193(constB133) <=> v191(constB132)),
% 16.58/11.79 inference(unit_resolution,[status(thm)],[28315, 14359, 70])).
% 16.58/11.79 tff(28317,plain,
% 16.58/11.79 ((~![VarCurr: $i] : (v191(VarCurr) <=> (v194(VarCurr) | v198(VarCurr)))) | (v191(constB132) <=> (v194(constB132) | v198(constB132)))),
% 16.58/11.79 inference(quant_inst,[status(thm)],[])).
% 16.58/11.79 tff(28318,plain,
% 16.58/11.79 (v191(constB132) <=> (v194(constB132) | v198(constB132))),
% 16.58/11.79 inference(unit_resolution,[status(thm)],[28317, 84])).
% 16.58/11.79 tff(28319,plain,
% 16.58/11.79 ((~![VarCurr: $i] : (v198(VarCurr) <=> (~((~v199(VarCurr)) | (~v200(VarCurr)))))) | (v198(constB132) <=> (~((~v199(constB132)) | (~v200(constB132)))))),
% 16.58/11.79 inference(quant_inst,[status(thm)],[])).
% 16.58/11.79 tff(28320,plain,
% 16.58/11.79 (v198(constB132) <=> (~((~v199(constB132)) | (~v200(constB132))))),
% 16.58/11.79 inference(unit_resolution,[status(thm)],[28319, 96])).
% 16.58/11.79 tff(28321,plain,
% 16.58/11.79 ((~![VarCurr: $i] : (v200(VarCurr) <=> (~((~v197(VarCurr)) | (~v201(VarCurr)))))) | (v200(constB132) <=> (~((~v197(constB132)) | (~v201(constB132)))))),
% 16.58/11.79 inference(quant_inst,[status(thm)],[])).
% 16.58/11.79 tff(28322,plain,
% 16.58/11.79 (v200(constB132) <=> (~((~v197(constB132)) | (~v201(constB132))))),
% 16.58/11.79 inference(unit_resolution,[status(thm)],[28321, 108])).
% 16.58/11.79 tff(28323,plain,
% 16.58/11.79 ((~![VarCurr: $i] : (v197(VarCurr) <=> (~((~v39(VarCurr)) | (~v9(VarCurr)))))) | (v197(constB132) <=> (~((~v39(constB132)) | (~v9(constB132)))))),
% 16.58/11.79 inference(quant_inst,[status(thm)],[])).
% 16.58/11.79 tff(28324,plain,
% 16.58/11.79 (v197(constB132) <=> (~((~v39(constB132)) | (~v9(constB132))))),
% 16.58/11.79 inference(unit_resolution,[status(thm)],[28323, 120])).
% 16.58/11.79 tff(28325,plain,
% 16.58/11.79 ((~![VarCurr: $i] : ((~v39(VarCurr)) <=> v1(VarCurr))) | ((~v39(constB132)) <=> v1(constB132))),
% 16.58/11.79 inference(quant_inst,[status(thm)],[])).
% 16.58/11.79 tff(28326,plain,
% 16.58/11.79 ((~v39(constB132)) <=> v1(constB132)),
% 16.58/11.79 inference(unit_resolution,[status(thm)],[28325, 129])).
% 16.58/11.79 tff(28327,plain,
% 16.58/11.79 ((~((~v39(constB132)) <=> v1(constB132))) | (~v39(constB132)) | (~v1(constB132))),
% 16.58/11.79 inference(tautology,[status(thm)],[])).
% 16.58/11.79 tff(28328,plain,
% 16.58/11.79 ((~((~v39(constB132)) <=> v1(constB132))) | (~v39(constB132))),
% 16.58/11.79 inference(unit_resolution,[status(thm)],[28327, 14421])).
% 16.58/11.79 tff(28329,plain,
% 16.58/11.79 (~v39(constB132)),
% 16.58/11.79 inference(unit_resolution,[status(thm)],[28328, 28326])).
% 16.58/11.79 tff(28330,plain,
% 16.58/11.79 (((~v39(constB132)) | (~v9(constB132))) | v39(constB132)),
% 16.58/11.79 inference(tautology,[status(thm)],[])).
% 16.58/11.79 tff(28331,plain,
% 16.58/11.79 ((~v39(constB132)) | (~v9(constB132))),
% 16.58/11.79 inference(unit_resolution,[status(thm)],[28330, 28329])).
% 16.58/11.79 tff(28332,plain,
% 16.58/11.79 ((~(v197(constB132) <=> (~((~v39(constB132)) | (~v9(constB132)))))) | (~v197(constB132)) | (~((~v39(constB132)) | (~v9(constB132))))),
% 16.58/11.79 inference(tautology,[status(thm)],[])).
% 16.58/11.79 tff(28333,plain,
% 16.58/11.79 ((~(v197(constB132) <=> (~((~v39(constB132)) | (~v9(constB132)))))) | (~v197(constB132))),
% 16.58/11.79 inference(unit_resolution,[status(thm)],[28332, 28331])).
% 16.58/11.79 tff(28334,plain,
% 16.58/11.79 (~v197(constB132)),
% 16.58/11.79 inference(unit_resolution,[status(thm)],[28333, 28324])).
% 16.58/11.79 tff(28335,plain,
% 16.58/11.79 (((~v197(constB132)) | (~v201(constB132))) | v197(constB132)),
% 16.58/11.79 inference(tautology,[status(thm)],[])).
% 16.58/11.79 tff(28336,plain,
% 16.58/11.79 ((~v197(constB132)) | (~v201(constB132))),
% 16.58/11.79 inference(unit_resolution,[status(thm)],[28335, 28334])).
% 16.58/11.79 tff(28337,plain,
% 16.58/11.79 ((~(v200(constB132) <=> (~((~v197(constB132)) | (~v201(constB132)))))) | (~v200(constB132)) | (~((~v197(constB132)) | (~v201(constB132))))),
% 16.58/11.79 inference(tautology,[status(thm)],[])).
% 16.58/11.79 tff(28338,plain,
% 16.58/11.79 ((~(v200(constB132) <=> (~((~v197(constB132)) | (~v201(constB132)))))) | (~v200(constB132))),
% 16.58/11.79 inference(unit_resolution,[status(thm)],[28337, 28336])).
% 16.58/11.79 tff(28339,plain,
% 16.58/11.79 (~v200(constB132)),
% 16.58/11.79 inference(unit_resolution,[status(thm)],[28338, 28322])).
% 16.58/11.79 tff(28340,plain,
% 16.58/11.79 (((~v199(constB132)) | (~v200(constB132))) | v200(constB132)),
% 16.58/11.79 inference(tautology,[status(thm)],[])).
% 16.58/11.79 tff(28341,plain,
% 16.58/11.79 ((~v199(constB132)) | (~v200(constB132))),
% 16.58/11.79 inference(unit_resolution,[status(thm)],[28340, 28339])).
% 16.58/11.79 tff(28342,plain,
% 16.58/11.79 ((~(v198(constB132) <=> (~((~v199(constB132)) | (~v200(constB132)))))) | (~v198(constB132)) | (~((~v199(constB132)) | (~v200(constB132))))),
% 16.58/11.79 inference(tautology,[status(thm)],[])).
% 16.58/11.79 tff(28343,plain,
% 16.58/11.79 (~v198(constB132)),
% 16.58/11.79 inference(unit_resolution,[status(thm)],[28342, 28341, 28320])).
% 16.58/11.79 tff(28344,plain,
% 16.58/11.79 (((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB132) <=> (~((~v157(constB132)) | (~v195(constB132)))))) <=> ((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB132) <=> (~((~v157(constB132)) | (~v195(constB132))))))),
% 16.58/11.79 inference(rewrite,[status(thm)],[])).
% 16.58/11.79 tff(28345,plain,
% 16.58/11.79 ((v194(constB132) <=> (~((~v195(constB132)) | (~v157(constB132))))) <=> (v194(constB132) <=> (~((~v157(constB132)) | (~v195(constB132)))))),
% 16.58/11.79 inference(rewrite,[status(thm)],[])).
% 16.58/11.79 tff(28346,plain,
% 16.58/11.79 (((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB132) <=> (~((~v195(constB132)) | (~v157(constB132)))))) <=> ((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB132) <=> (~((~v157(constB132)) | (~v195(constB132))))))),
% 16.58/11.79 inference(monotonicity,[status(thm)],[28345])).
% 16.58/11.79 tff(28347,plain,
% 16.58/11.79 (((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB132) <=> (~((~v195(constB132)) | (~v157(constB132)))))) <=> ((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB132) <=> (~((~v157(constB132)) | (~v195(constB132))))))),
% 16.58/11.79 inference(transitivity,[status(thm)],[28346, 28344])).
% 16.58/11.79 tff(28348,plain,
% 16.58/11.79 ((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB132) <=> (~((~v195(constB132)) | (~v157(constB132)))))),
% 16.58/11.79 inference(quant_inst,[status(thm)],[])).
% 16.58/11.79 tff(28349,plain,
% 16.58/11.79 ((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB132) <=> (~((~v157(constB132)) | (~v195(constB132)))))),
% 16.58/11.79 inference(modus_ponens,[status(thm)],[28348, 28347])).
% 16.58/11.79 tff(28350,plain,
% 16.58/11.79 (v194(constB132) <=> (~((~v157(constB132)) | (~v195(constB132))))),
% 16.58/11.79 inference(unit_resolution,[status(thm)],[28349, 161])).
% 16.58/11.79 tff(28351,plain,
% 16.58/11.79 ((~![VarNext: $i] : (v157(VarNext) <=> v193(VarNext))) | (v157(constB132) <=> v193(constB132))),
% 16.58/11.79 inference(quant_inst,[status(thm)],[])).
% 16.58/11.79 tff(28352,plain,
% 16.58/11.79 (v157(constB132) <=> v193(constB132)),
% 16.58/11.79 inference(unit_resolution,[status(thm)],[28351, 13])).
% 16.58/11.79 tff(28353,plain,
% 16.58/11.79 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v193(VarNext) <=> v191(VarCurr)))) | ((~nextState(constB131, constB132)) | (v193(constB132) <=> v191(constB131)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v193(VarNext) <=> v191(VarCurr)))) | (~nextState(constB131, constB132)) | (v193(constB132) <=> v191(constB131)))),
% 16.58/11.79 inference(rewrite,[status(thm)],[])).
% 16.58/11.79 tff(28354,plain,
% 16.58/11.79 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v193(VarNext) <=> v191(VarCurr)))) | ((~nextState(constB131, constB132)) | (v193(constB132) <=> v191(constB131)))),
% 16.58/11.79 inference(quant_inst,[status(thm)],[])).
% 16.58/11.79 tff(28355,plain,
% 16.58/11.79 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v193(VarNext) <=> v191(VarCurr)))) | (~nextState(constB131, constB132)) | (v193(constB132) <=> v191(constB131))),
% 16.58/11.79 inference(modus_ponens,[status(thm)],[28354, 28353])).
% 16.58/11.79 tff(28356,plain,
% 16.58/11.79 (v193(constB132) <=> v191(constB131)),
% 16.58/11.79 inference(unit_resolution,[status(thm)],[28355, 14391, 70])).
% 16.58/11.79 tff(28357,plain,
% 16.58/11.79 ((~![VarCurr: $i] : (v191(VarCurr) <=> (v194(VarCurr) | v198(VarCurr)))) | (v191(constB131) <=> (v194(constB131) | v198(constB131)))),
% 16.58/11.79 inference(quant_inst,[status(thm)],[])).
% 16.58/11.79 tff(28358,plain,
% 16.58/11.79 (v191(constB131) <=> (v194(constB131) | v198(constB131))),
% 16.58/11.79 inference(unit_resolution,[status(thm)],[28357, 84])).
% 16.58/11.79 tff(28359,plain,
% 16.58/11.79 (((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB131) <=> (~((~v157(constB131)) | (~v195(constB131)))))) <=> ((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB131) <=> (~((~v157(constB131)) | (~v195(constB131))))))),
% 16.58/11.79 inference(rewrite,[status(thm)],[])).
% 16.58/11.79 tff(28360,plain,
% 16.58/11.79 ((v194(constB131) <=> (~((~v195(constB131)) | (~v157(constB131))))) <=> (v194(constB131) <=> (~((~v157(constB131)) | (~v195(constB131)))))),
% 16.58/11.79 inference(rewrite,[status(thm)],[])).
% 16.58/11.79 tff(28361,plain,
% 16.58/11.79 (((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB131) <=> (~((~v195(constB131)) | (~v157(constB131)))))) <=> ((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB131) <=> (~((~v157(constB131)) | (~v195(constB131))))))),
% 16.58/11.79 inference(monotonicity,[status(thm)],[28360])).
% 16.58/11.79 tff(28362,plain,
% 16.58/11.79 (((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB131) <=> (~((~v195(constB131)) | (~v157(constB131)))))) <=> ((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB131) <=> (~((~v157(constB131)) | (~v195(constB131))))))),
% 16.58/11.79 inference(transitivity,[status(thm)],[28361, 28359])).
% 16.58/11.79 tff(28363,plain,
% 16.58/11.79 ((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB131) <=> (~((~v195(constB131)) | (~v157(constB131)))))),
% 16.58/11.79 inference(quant_inst,[status(thm)],[])).
% 16.58/11.79 tff(28364,plain,
% 16.58/11.79 ((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB131) <=> (~((~v157(constB131)) | (~v195(constB131)))))),
% 16.58/11.79 inference(modus_ponens,[status(thm)],[28363, 28362])).
% 16.58/11.79 tff(28365,plain,
% 16.58/11.79 (v194(constB131) <=> (~((~v157(constB131)) | (~v195(constB131))))),
% 16.58/11.79 inference(unit_resolution,[status(thm)],[28364, 161])).
% 16.58/11.79 tff(28366,plain,
% 16.58/11.79 ((~![VarCurr: $i] : ((~v195(VarCurr)) <=> v196(VarCurr))) | ((~v195(constB131)) <=> v196(constB131))),
% 16.58/11.79 inference(quant_inst,[status(thm)],[])).
% 16.58/11.79 tff(28367,plain,
% 16.58/11.79 ((~v195(constB131)) <=> v196(constB131)),
% 16.58/11.79 inference(unit_resolution,[status(thm)],[28366, 193])).
% 16.58/11.79 tff(28368,plain,
% 16.58/11.79 ((~![VarCurr: $i] : (v196(VarCurr) <=> (v197(VarCurr) | v26(VarCurr)))) | (v196(constB131) <=> (v197(constB131) | v26(constB131)))),
% 16.58/11.79 inference(quant_inst,[status(thm)],[])).
% 16.58/11.79 tff(28369,plain,
% 16.58/11.79 (v196(constB131) <=> (v197(constB131) | v26(constB131))),
% 16.58/11.79 inference(unit_resolution,[status(thm)],[28368, 202])).
% 16.58/11.79 tff(28370,plain,
% 16.58/11.79 ((~![VarCurr: $i] : (v197(VarCurr) <=> (~((~v39(VarCurr)) | (~v9(VarCurr)))))) | (v197(constB131) <=> (~((~v39(constB131)) | (~v9(constB131)))))),
% 16.58/11.79 inference(quant_inst,[status(thm)],[])).
% 16.58/11.79 tff(28371,plain,
% 16.58/11.79 (v197(constB131) <=> (~((~v39(constB131)) | (~v9(constB131))))),
% 16.58/11.79 inference(unit_resolution,[status(thm)],[28370, 120])).
% 16.58/11.79 tff(28372,plain,
% 16.58/11.79 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | ((~nextState(constB131, constB132)) | (v13(constB132) <=> v9(constB131)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | (~nextState(constB131, constB132)) | (v13(constB132) <=> v9(constB131)))),
% 16.58/11.79 inference(rewrite,[status(thm)],[])).
% 16.58/11.79 tff(28373,plain,
% 16.58/11.79 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | ((~nextState(constB131, constB132)) | (v13(constB132) <=> v9(constB131)))),
% 16.58/11.79 inference(quant_inst,[status(thm)],[])).
% 16.58/11.79 tff(28374,plain,
% 16.58/11.79 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | (~nextState(constB131, constB132)) | (v13(constB132) <=> v9(constB131))),
% 16.58/11.79 inference(modus_ponens,[status(thm)],[28373, 28372])).
% 16.58/11.79 tff(28375,plain,
% 16.58/11.79 (v13(constB132) <=> v9(constB131)),
% 16.58/11.79 inference(unit_resolution,[status(thm)],[28374, 14391, 216])).
% 16.58/11.79 tff(28376,plain,
% 16.58/11.79 ((~![VarNext: $i] : (v6(VarNext) <=> v13(VarNext))) | (v6(constB132) <=> v13(constB132))),
% 16.58/11.79 inference(quant_inst,[status(thm)],[])).
% 16.58/11.79 tff(28377,plain,
% 16.58/11.79 (v6(constB132) <=> v13(constB132)),
% 16.58/11.79 inference(unit_resolution,[status(thm)],[28376, 230])).
% 16.58/11.79 tff(28378,plain,
% 16.58/11.79 ((~![VarCurr: $i] : ((~v21(VarCurr)) <=> v6(VarCurr))) | ((~v21(constB132)) <=> v6(constB132))),
% 16.58/11.79 inference(quant_inst,[status(thm)],[])).
% 16.58/11.79 tff(28379,plain,
% 16.58/11.79 ((~v21(constB132)) <=> v6(constB132)),
% 16.58/11.79 inference(unit_resolution,[status(thm)],[28378, 239])).
% 16.58/11.79 tff(28380,plain,
% 16.58/11.79 ((~![VarCurr: $i] : (v19(VarCurr) <=> (v20(VarCurr) | v21(VarCurr)))) | (v19(constB132) <=> (v20(constB132) | v21(constB132)))),
% 16.58/11.79 inference(quant_inst,[status(thm)],[])).
% 16.58/11.79 tff(28381,plain,
% 16.58/11.79 (v19(constB132) <=> (v20(constB132) | v21(constB132))),
% 16.58/11.79 inference(unit_resolution,[status(thm)],[28380, 248])).
% 16.58/11.79 tff(28382,plain,
% 16.58/11.79 ((~![VarCurr: $i] : (v18(VarCurr) <=> (~((~v19(VarCurr)) | (~v22(VarCurr)))))) | (v18(constB132) <=> (~((~v19(constB132)) | (~v22(constB132)))))),
% 16.58/11.79 inference(quant_inst,[status(thm)],[])).
% 16.58/11.79 tff(28383,plain,
% 16.58/11.79 (v18(constB132) <=> (~((~v19(constB132)) | (~v22(constB132))))),
% 16.58/11.79 inference(unit_resolution,[status(thm)],[28382, 260])).
% 16.58/11.79 tff(28384,plain,
% 16.58/11.79 ((~![VarCurr: $i] : ((~v4(VarCurr)) <=> v18(VarCurr))) | ((~v4(constB132)) <=> v18(constB132))),
% 16.58/11.79 inference(quant_inst,[status(thm)],[])).
% 16.58/11.79 tff(28385,plain,
% 16.58/11.79 ((~v4(constB132)) <=> v18(constB132)),
% 16.58/11.79 inference(unit_resolution,[status(thm)],[28384, 269])).
% 16.58/11.79 tff(28386,plain,
% 16.58/11.79 ((~![VarCurr: $i] : v4(VarCurr)) | v4(constB132)),
% 16.58/11.79 inference(quant_inst,[status(thm)],[])).
% 16.58/11.79 tff(28387,plain,
% 16.58/11.79 (v4(constB132)),
% 16.58/11.79 inference(unit_resolution,[status(thm)],[28386, 278])).
% 16.58/11.79 tff(28388,plain,
% 16.58/11.79 ((~((~v4(constB132)) <=> v18(constB132))) | (~v4(constB132)) | (~v18(constB132))),
% 16.58/11.79 inference(tautology,[status(thm)],[])).
% 16.58/11.79 tff(28389,plain,
% 16.58/11.79 (~v18(constB132)),
% 16.58/11.79 inference(unit_resolution,[status(thm)],[28388, 28387, 28385])).
% 16.58/11.79 tff(28390,plain,
% 16.58/11.79 ((~(v18(constB132) <=> (~((~v19(constB132)) | (~v22(constB132)))))) | v18(constB132) | ((~v19(constB132)) | (~v22(constB132)))),
% 16.58/11.79 inference(tautology,[status(thm)],[])).
% 16.58/11.79 tff(28391,plain,
% 16.58/11.79 ((~v19(constB132)) | (~v22(constB132))),
% 16.58/11.79 inference(unit_resolution,[status(thm)],[28390, 28389, 28383])).
% 16.58/11.79 tff(28392,plain,
% 16.58/11.79 ((~![VarCurr: $i] : (v22(VarCurr) <=> (v1(VarCurr) | v6(VarCurr)))) | (v22(constB132) <=> (v1(constB132) | v6(constB132)))),
% 16.58/11.79 inference(quant_inst,[status(thm)],[])).
% 16.58/11.79 tff(28393,plain,
% 16.58/11.79 (v22(constB132) <=> (v1(constB132) | v6(constB132))),
% 16.58/11.79 inference(unit_resolution,[status(thm)],[28392, 291])).
% 16.58/11.79 tff(28394,plain,
% 16.58/11.79 ((v1(constB132) | v6(constB132)) | (~v1(constB132))),
% 16.58/11.79 inference(tautology,[status(thm)],[])).
% 16.58/11.79 tff(28395,plain,
% 16.58/11.79 (v1(constB132) | v6(constB132)),
% 16.58/11.79 inference(unit_resolution,[status(thm)],[28394, 14421])).
% 16.58/11.79 tff(28396,plain,
% 16.58/11.79 ((~(v22(constB132) <=> (v1(constB132) | v6(constB132)))) | v22(constB132) | (~(v1(constB132) | v6(constB132)))),
% 16.58/11.79 inference(tautology,[status(thm)],[])).
% 16.58/11.79 tff(28397,plain,
% 16.58/11.79 ((~(v22(constB132) <=> (v1(constB132) | v6(constB132)))) | v22(constB132)),
% 16.58/11.79 inference(unit_resolution,[status(thm)],[28396, 28395])).
% 16.58/11.79 tff(28398,plain,
% 16.58/11.79 (v22(constB132)),
% 16.58/11.79 inference(unit_resolution,[status(thm)],[28397, 28393])).
% 16.58/11.79 tff(28399,plain,
% 16.58/11.79 ((~((~v19(constB132)) | (~v22(constB132)))) | (~v19(constB132)) | (~v22(constB132))),
% 16.58/11.79 inference(tautology,[status(thm)],[])).
% 16.58/11.79 tff(28400,plain,
% 16.58/11.79 ((~((~v19(constB132)) | (~v22(constB132)))) | (~v19(constB132))),
% 16.58/11.79 inference(unit_resolution,[status(thm)],[28399, 28398])).
% 16.58/11.79 tff(28401,plain,
% 16.58/11.79 (~v19(constB132)),
% 16.58/11.79 inference(unit_resolution,[status(thm)],[28400, 28391])).
% 16.58/11.79 tff(28402,plain,
% 16.58/11.79 ((~(v19(constB132) <=> (v20(constB132) | v21(constB132)))) | v19(constB132) | (~(v20(constB132) | v21(constB132)))),
% 16.58/11.79 inference(tautology,[status(thm)],[])).
% 16.58/11.79 tff(28403,plain,
% 16.58/11.79 (~(v20(constB132) | v21(constB132))),
% 16.58/11.79 inference(unit_resolution,[status(thm)],[28402, 28401, 28381])).
% 16.58/11.79 tff(28404,plain,
% 16.58/11.79 ((v20(constB132) | v21(constB132)) | (~v21(constB132))),
% 16.58/11.79 inference(tautology,[status(thm)],[])).
% 16.58/11.79 tff(28405,plain,
% 16.58/11.79 (~v21(constB132)),
% 16.58/11.79 inference(unit_resolution,[status(thm)],[28404, 28403])).
% 16.58/11.79 tff(28406,plain,
% 16.58/11.79 ((~((~v21(constB132)) <=> v6(constB132))) | v21(constB132) | v6(constB132)),
% 16.58/11.79 inference(tautology,[status(thm)],[])).
% 16.58/11.79 tff(28407,plain,
% 16.58/11.79 (v6(constB132)),
% 16.58/11.79 inference(unit_resolution,[status(thm)],[28406, 28405, 28379])).
% 16.58/11.79 tff(28408,plain,
% 16.58/11.79 ((~(v6(constB132) <=> v13(constB132))) | (~v6(constB132)) | v13(constB132)),
% 16.58/11.79 inference(tautology,[status(thm)],[])).
% 16.58/11.79 tff(28409,plain,
% 16.58/11.79 (v13(constB132)),
% 16.58/11.79 inference(unit_resolution,[status(thm)],[28408, 28407, 28377])).
% 16.58/11.80 tff(28410,plain,
% 16.58/11.80 ((~(v13(constB132) <=> v9(constB131))) | (~v13(constB132)) | v9(constB131)),
% 16.58/11.80 inference(tautology,[status(thm)],[])).
% 16.58/11.80 tff(28411,plain,
% 16.58/11.80 (v9(constB131)),
% 16.58/11.80 inference(unit_resolution,[status(thm)],[28410, 28409, 28375])).
% 16.58/11.80 tff(28412,plain,
% 16.58/11.80 ((~![VarCurr: $i] : ((~v39(VarCurr)) <=> v1(VarCurr))) | ((~v39(constB131)) <=> v1(constB131))),
% 16.58/11.80 inference(quant_inst,[status(thm)],[])).
% 16.58/11.80 tff(28413,plain,
% 16.58/11.80 ((~v39(constB131)) <=> v1(constB131)),
% 16.58/11.80 inference(unit_resolution,[status(thm)],[28412, 129])).
% 16.58/11.80 tff(28414,plain,
% 16.58/11.80 ((~((~v39(constB131)) <=> v1(constB131))) | v39(constB131) | v1(constB131)),
% 16.58/11.80 inference(tautology,[status(thm)],[])).
% 16.58/11.80 tff(28415,plain,
% 16.58/11.80 ((~((~v39(constB131)) <=> v1(constB131))) | v39(constB131)),
% 16.58/11.80 inference(unit_resolution,[status(thm)],[28414, 14413])).
% 16.58/11.80 tff(28416,plain,
% 16.58/11.80 (v39(constB131)),
% 16.58/11.80 inference(unit_resolution,[status(thm)],[28415, 28413])).
% 16.58/11.80 tff(28417,plain,
% 16.58/11.80 ((~((~v39(constB131)) | (~v9(constB131)))) | (~v39(constB131)) | (~v9(constB131))),
% 16.58/11.80 inference(tautology,[status(thm)],[])).
% 16.58/11.80 tff(28418,plain,
% 16.58/11.80 ((~((~v39(constB131)) | (~v9(constB131)))) | (~v9(constB131))),
% 16.58/11.80 inference(unit_resolution,[status(thm)],[28417, 28416])).
% 16.58/11.80 tff(28419,plain,
% 16.58/11.80 (~((~v39(constB131)) | (~v9(constB131)))),
% 16.58/11.80 inference(unit_resolution,[status(thm)],[28418, 28411])).
% 16.58/11.80 tff(28420,plain,
% 16.58/11.80 ((~(v197(constB131) <=> (~((~v39(constB131)) | (~v9(constB131)))))) | v197(constB131) | ((~v39(constB131)) | (~v9(constB131)))),
% 16.58/11.80 inference(tautology,[status(thm)],[])).
% 16.58/11.80 tff(28421,plain,
% 16.58/11.80 (v197(constB131)),
% 16.58/11.80 inference(unit_resolution,[status(thm)],[28420, 28419, 28371])).
% 16.58/11.80 tff(28422,plain,
% 16.58/11.80 ((v197(constB131) | v26(constB131)) | (~v197(constB131))),
% 16.58/11.80 inference(tautology,[status(thm)],[])).
% 16.58/11.80 tff(28423,plain,
% 16.58/11.80 (v197(constB131) | v26(constB131)),
% 16.58/11.80 inference(unit_resolution,[status(thm)],[28422, 28421])).
% 16.58/11.80 tff(28424,plain,
% 16.58/11.80 ((~(v196(constB131) <=> (v197(constB131) | v26(constB131)))) | v196(constB131) | (~(v197(constB131) | v26(constB131)))),
% 16.58/11.80 inference(tautology,[status(thm)],[])).
% 16.58/11.80 tff(28425,plain,
% 16.58/11.80 (v196(constB131)),
% 16.58/11.80 inference(unit_resolution,[status(thm)],[28424, 28423, 28369])).
% 16.58/11.80 tff(28426,plain,
% 16.58/11.80 ((~((~v195(constB131)) <=> v196(constB131))) | (~v195(constB131)) | (~v196(constB131))),
% 16.58/11.80 inference(tautology,[status(thm)],[])).
% 16.58/11.80 tff(28427,plain,
% 16.58/11.80 (~v195(constB131)),
% 16.58/11.80 inference(unit_resolution,[status(thm)],[28426, 28425, 28367])).
% 16.58/11.80 tff(28428,plain,
% 16.58/11.80 (((~v157(constB131)) | (~v195(constB131))) | v195(constB131)),
% 16.58/11.80 inference(tautology,[status(thm)],[])).
% 16.58/11.80 tff(28429,plain,
% 16.58/11.80 ((~v157(constB131)) | (~v195(constB131))),
% 16.58/11.80 inference(unit_resolution,[status(thm)],[28428, 28427])).
% 16.58/11.80 tff(28430,plain,
% 16.58/11.80 ((~(v194(constB131) <=> (~((~v157(constB131)) | (~v195(constB131)))))) | (~v194(constB131)) | (~((~v157(constB131)) | (~v195(constB131))))),
% 16.58/11.80 inference(tautology,[status(thm)],[])).
% 16.58/11.80 tff(28431,plain,
% 16.58/11.80 (~v194(constB131)),
% 16.58/11.80 inference(unit_resolution,[status(thm)],[28430, 28429, 28365])).
% 16.58/11.80 tff(28432,plain,
% 16.58/11.80 ((~![VarCurr: $i] : (v198(VarCurr) <=> (~((~v199(VarCurr)) | (~v200(VarCurr)))))) | (v198(constB131) <=> (~((~v199(constB131)) | (~v200(constB131)))))),
% 16.58/11.80 inference(quant_inst,[status(thm)],[])).
% 16.58/11.80 tff(28433,plain,
% 16.58/11.80 (v198(constB131) <=> (~((~v199(constB131)) | (~v200(constB131))))),
% 16.58/11.80 inference(unit_resolution,[status(thm)],[28432, 96])).
% 16.58/11.80 tff(28434,plain,
% 16.58/11.80 ((~![VarCurr: $i] : (v200(VarCurr) <=> (~((~v197(VarCurr)) | (~v201(VarCurr)))))) | (v200(constB131) <=> (~((~v197(constB131)) | (~v201(constB131)))))),
% 16.58/11.80 inference(quant_inst,[status(thm)],[])).
% 16.58/11.80 tff(28435,plain,
% 16.58/11.80 (v200(constB131) <=> (~((~v197(constB131)) | (~v201(constB131))))),
% 16.58/11.80 inference(unit_resolution,[status(thm)],[28434, 108])).
% 16.58/11.80 tff(28436,plain,
% 16.58/11.80 ((~![VarCurr: $i] : (v201(VarCurr) <=> (~((~v159(VarCurr)) | (~v161(VarCurr)))))) | (v201(constB131) <=> (~((~v159(constB131)) | (~v161(constB131)))))),
% 16.58/11.80 inference(quant_inst,[status(thm)],[])).
% 16.58/11.80 tff(28437,plain,
% 16.58/11.80 (v201(constB131) <=> (~((~v159(constB131)) | (~v161(constB131))))),
% 16.58/11.80 inference(unit_resolution,[status(thm)],[28436, 348])).
% 16.58/11.80 tff(28438,plain,
% 16.58/11.80 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v179(VarNext) <=> v180(VarNext)))) | ((~nextState(constB130, constB131)) | (v179(constB131) <=> v180(constB131)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v179(VarNext) <=> v180(VarNext)))) | (~nextState(constB130, constB131)) | (v179(constB131) <=> v180(constB131)))),
% 16.58/11.80 inference(rewrite,[status(thm)],[])).
% 16.58/11.80 tff(28439,plain,
% 16.58/11.80 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v179(VarNext) <=> v180(VarNext)))) | ((~nextState(constB130, constB131)) | (v179(constB131) <=> v180(constB131)))),
% 16.58/11.80 inference(quant_inst,[status(thm)],[])).
% 16.58/11.80 tff(28440,plain,
% 16.58/11.80 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v179(VarNext) <=> v180(VarNext)))) | (~nextState(constB130, constB131)) | (v179(constB131) <=> v180(constB131))),
% 16.58/11.80 inference(modus_ponens,[status(thm)],[28439, 28438])).
% 16.58/11.80 tff(28441,plain,
% 16.58/11.80 (v179(constB131) <=> v180(constB131)),
% 16.58/11.80 inference(unit_resolution,[status(thm)],[28440, 14452, 13536])).
% 16.58/11.80 tff(28442,plain,
% 16.58/11.80 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> (~((~v181(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB130, constB131)) | (v180(constB131) <=> (~((~v1(constB131)) | (~v181(constB131))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> (~((~v181(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB130, constB131)) | (v180(constB131) <=> (~((~v1(constB131)) | (~v181(constB131))))))),
% 16.58/11.80 inference(rewrite,[status(thm)],[])).
% 16.58/11.80 tff(28443,plain,
% 16.58/11.80 (((~nextState(constB130, constB131)) | (v180(constB131) <=> (~((~v181(constB131)) | (~v1(constB131)))))) <=> ((~nextState(constB130, constB131)) | (v180(constB131) <=> (~((~v1(constB131)) | (~v181(constB131))))))),
% 16.58/11.80 inference(rewrite,[status(thm)],[])).
% 16.58/11.80 tff(28444,plain,
% 16.58/11.80 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> (~((~v181(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB130, constB131)) | (v180(constB131) <=> (~((~v181(constB131)) | (~v1(constB131))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> (~((~v181(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB130, constB131)) | (v180(constB131) <=> (~((~v1(constB131)) | (~v181(constB131)))))))),
% 16.58/11.80 inference(monotonicity,[status(thm)],[28443])).
% 16.58/11.80 tff(28445,plain,
% 16.58/11.80 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> (~((~v181(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB130, constB131)) | (v180(constB131) <=> (~((~v181(constB131)) | (~v1(constB131))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> (~((~v181(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB130, constB131)) | (v180(constB131) <=> (~((~v1(constB131)) | (~v181(constB131))))))),
% 16.58/11.80 inference(transitivity,[status(thm)],[28444, 28442])).
% 16.58/11.80 tff(28446,plain,
% 16.58/11.80 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> (~((~v181(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB130, constB131)) | (v180(constB131) <=> (~((~v181(constB131)) | (~v1(constB131))))))),
% 16.58/11.80 inference(quant_inst,[status(thm)],[])).
% 16.58/11.80 tff(28447,plain,
% 16.58/11.80 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> (~((~v181(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB130, constB131)) | (v180(constB131) <=> (~((~v1(constB131)) | (~v181(constB131)))))),
% 16.58/11.80 inference(modus_ponens,[status(thm)],[28446, 28445])).
% 16.58/11.80 tff(28448,plain,
% 16.58/11.80 (v180(constB131) <=> (~((~v1(constB131)) | (~v181(constB131))))),
% 16.58/11.80 inference(unit_resolution,[status(thm)],[28447, 14452, 13556])).
% 16.58/11.80 tff(28449,plain,
% 16.58/11.80 (((~v1(constB131)) | (~v181(constB131))) | v1(constB131)),
% 16.58/11.80 inference(tautology,[status(thm)],[])).
% 16.58/11.80 tff(28450,plain,
% 16.58/11.80 ((~v1(constB131)) | (~v181(constB131))),
% 16.58/11.80 inference(unit_resolution,[status(thm)],[28449, 14413])).
% 16.58/11.80 tff(28451,plain,
% 16.58/11.80 ((~(v180(constB131) <=> (~((~v1(constB131)) | (~v181(constB131)))))) | (~v180(constB131)) | (~((~v1(constB131)) | (~v181(constB131))))),
% 16.58/11.80 inference(tautology,[status(thm)],[])).
% 16.58/11.80 tff(28452,plain,
% 16.58/11.80 ((~(v180(constB131) <=> (~((~v1(constB131)) | (~v181(constB131)))))) | (~v180(constB131))),
% 16.58/11.80 inference(unit_resolution,[status(thm)],[28451, 28450])).
% 16.58/11.80 tff(28453,plain,
% 16.58/11.80 (~v180(constB131)),
% 16.58/11.80 inference(unit_resolution,[status(thm)],[28452, 28448])).
% 16.58/11.80 tff(28454,plain,
% 16.58/11.80 ((~(v179(constB131) <=> v180(constB131))) | (~v179(constB131)) | v180(constB131)),
% 16.58/11.80 inference(tautology,[status(thm)],[])).
% 16.58/11.80 tff(28455,plain,
% 16.58/11.80 (~v179(constB131)),
% 16.58/11.80 inference(unit_resolution,[status(thm)],[28454, 28453, 28441])).
% 16.58/11.80 tff(28456,plain,
% 16.58/11.80 (((~![VarCurr: $i, VarNext: $i] : ((v159(VarNext) <=> v159(VarCurr)) | v179(VarNext) | (~nextState(VarCurr, VarNext)))) | ((~nextState(constB130, constB131)) | v179(constB131) | (v159(constB131) <=> v159(constB130)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((v159(VarNext) <=> v159(VarCurr)) | v179(VarNext) | (~nextState(VarCurr, VarNext)))) | (~nextState(constB130, constB131)) | v179(constB131) | (v159(constB131) <=> v159(constB130)))),
% 16.58/11.80 inference(rewrite,[status(thm)],[])).
% 16.58/11.80 tff(28457,plain,
% 16.58/11.80 (((v159(constB131) <=> v159(constB130)) | v179(constB131) | (~nextState(constB130, constB131))) <=> ((~nextState(constB130, constB131)) | v179(constB131) | (v159(constB131) <=> v159(constB130)))),
% 16.58/11.80 inference(rewrite,[status(thm)],[])).
% 16.58/11.80 tff(28458,plain,
% 16.58/11.80 (((~![VarCurr: $i, VarNext: $i] : ((v159(VarNext) <=> v159(VarCurr)) | v179(VarNext) | (~nextState(VarCurr, VarNext)))) | ((v159(constB131) <=> v159(constB130)) | v179(constB131) | (~nextState(constB130, constB131)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((v159(VarNext) <=> v159(VarCurr)) | v179(VarNext) | (~nextState(VarCurr, VarNext)))) | ((~nextState(constB130, constB131)) | v179(constB131) | (v159(constB131) <=> v159(constB130))))),
% 16.58/11.80 inference(monotonicity,[status(thm)],[28457])).
% 16.58/11.80 tff(28459,plain,
% 16.58/11.80 (((~![VarCurr: $i, VarNext: $i] : ((v159(VarNext) <=> v159(VarCurr)) | v179(VarNext) | (~nextState(VarCurr, VarNext)))) | ((v159(constB131) <=> v159(constB130)) | v179(constB131) | (~nextState(constB130, constB131)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((v159(VarNext) <=> v159(VarCurr)) | v179(VarNext) | (~nextState(VarCurr, VarNext)))) | (~nextState(constB130, constB131)) | v179(constB131) | (v159(constB131) <=> v159(constB130)))),
% 16.58/11.80 inference(transitivity,[status(thm)],[28458, 28456])).
% 16.58/11.80 tff(28460,plain,
% 16.58/11.80 ((~![VarCurr: $i, VarNext: $i] : ((v159(VarNext) <=> v159(VarCurr)) | v179(VarNext) | (~nextState(VarCurr, VarNext)))) | ((v159(constB131) <=> v159(constB130)) | v179(constB131) | (~nextState(constB130, constB131)))),
% 16.58/11.80 inference(quant_inst,[status(thm)],[])).
% 16.58/11.80 tff(28461,plain,
% 16.58/11.80 ((~![VarCurr: $i, VarNext: $i] : ((v159(VarNext) <=> v159(VarCurr)) | v179(VarNext) | (~nextState(VarCurr, VarNext)))) | (~nextState(constB130, constB131)) | v179(constB131) | (v159(constB131) <=> v159(constB130))),
% 16.58/11.80 inference(modus_ponens,[status(thm)],[28460, 28459])).
% 16.58/11.80 tff(28462,plain,
% 16.58/11.80 (v179(constB131) | (v159(constB131) <=> v159(constB130))),
% 16.58/11.80 inference(unit_resolution,[status(thm)],[28461, 14452, 13580])).
% 16.58/11.80 tff(28463,plain,
% 16.58/11.80 (v159(constB131) <=> v159(constB130)),
% 16.58/11.80 inference(unit_resolution,[status(thm)],[28462, 28455])).
% 16.58/11.80 tff(28464,plain,
% 16.58/11.80 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v179(VarNext) <=> v180(VarNext)))) | ((~nextState(constB129, constB130)) | (v179(constB130) <=> v180(constB130)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v179(VarNext) <=> v180(VarNext)))) | (~nextState(constB129, constB130)) | (v179(constB130) <=> v180(constB130)))),
% 16.58/11.80 inference(rewrite,[status(thm)],[])).
% 16.58/11.80 tff(28465,plain,
% 16.58/11.80 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v179(VarNext) <=> v180(VarNext)))) | ((~nextState(constB129, constB130)) | (v179(constB130) <=> v180(constB130)))),
% 16.58/11.80 inference(quant_inst,[status(thm)],[])).
% 16.58/11.80 tff(28466,plain,
% 16.58/11.80 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v179(VarNext) <=> v180(VarNext)))) | (~nextState(constB129, constB130)) | (v179(constB130) <=> v180(constB130))),
% 16.58/11.80 inference(modus_ponens,[status(thm)],[28465, 28464])).
% 16.58/11.80 tff(28467,plain,
% 16.58/11.80 (v179(constB130) <=> v180(constB130)),
% 16.58/11.80 inference(unit_resolution,[status(thm)],[28466, 14484, 13536])).
% 16.58/11.80 tff(28468,plain,
% 16.58/11.80 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> (~((~v181(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB129, constB130)) | (v180(constB130) <=> (~((~v1(constB130)) | (~v181(constB130))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> (~((~v181(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB129, constB130)) | (v180(constB130) <=> (~((~v1(constB130)) | (~v181(constB130))))))),
% 16.58/11.80 inference(rewrite,[status(thm)],[])).
% 16.58/11.80 tff(28469,plain,
% 16.58/11.80 (((~nextState(constB129, constB130)) | (v180(constB130) <=> (~((~v181(constB130)) | (~v1(constB130)))))) <=> ((~nextState(constB129, constB130)) | (v180(constB130) <=> (~((~v1(constB130)) | (~v181(constB130))))))),
% 16.58/11.80 inference(rewrite,[status(thm)],[])).
% 16.58/11.80 tff(28470,plain,
% 16.58/11.80 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> (~((~v181(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB129, constB130)) | (v180(constB130) <=> (~((~v181(constB130)) | (~v1(constB130))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> (~((~v181(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB129, constB130)) | (v180(constB130) <=> (~((~v1(constB130)) | (~v181(constB130)))))))),
% 16.58/11.80 inference(monotonicity,[status(thm)],[28469])).
% 16.58/11.80 tff(28471,plain,
% 16.58/11.80 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> (~((~v181(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB129, constB130)) | (v180(constB130) <=> (~((~v181(constB130)) | (~v1(constB130))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> (~((~v181(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB129, constB130)) | (v180(constB130) <=> (~((~v1(constB130)) | (~v181(constB130))))))),
% 16.58/11.80 inference(transitivity,[status(thm)],[28470, 28468])).
% 16.58/11.80 tff(28472,plain,
% 16.58/11.80 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> (~((~v181(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB129, constB130)) | (v180(constB130) <=> (~((~v181(constB130)) | (~v1(constB130))))))),
% 16.58/11.80 inference(quant_inst,[status(thm)],[])).
% 16.58/11.80 tff(28473,plain,
% 16.58/11.80 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> (~((~v181(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB129, constB130)) | (v180(constB130) <=> (~((~v1(constB130)) | (~v181(constB130)))))),
% 16.58/11.80 inference(modus_ponens,[status(thm)],[28472, 28471])).
% 16.58/11.80 tff(28474,plain,
% 16.58/11.80 (v180(constB130) <=> (~((~v1(constB130)) | (~v181(constB130))))),
% 16.58/11.80 inference(unit_resolution,[status(thm)],[28473, 14484, 13556])).
% 16.58/11.80 tff(28475,plain,
% 16.58/11.80 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v181(VarNext)) <=> v104(VarNext)))) | ((~nextState(constB129, constB130)) | ((~v181(constB130)) <=> v104(constB130)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v181(VarNext)) <=> v104(VarNext)))) | (~nextState(constB129, constB130)) | ((~v181(constB130)) <=> v104(constB130)))),
% 16.58/11.80 inference(rewrite,[status(thm)],[])).
% 16.58/11.80 tff(28476,plain,
% 16.58/11.80 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v181(VarNext)) <=> v104(VarNext)))) | ((~nextState(constB129, constB130)) | ((~v181(constB130)) <=> v104(constB130)))),
% 16.58/11.80 inference(quant_inst,[status(thm)],[])).
% 16.58/11.80 tff(28477,plain,
% 16.58/11.80 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v181(VarNext)) <=> v104(VarNext)))) | (~nextState(constB129, constB130)) | ((~v181(constB130)) <=> v104(constB130))),
% 16.58/11.80 inference(modus_ponens,[status(thm)],[28476, 28475])).
% 16.58/11.80 tff(28478,plain,
% 16.58/11.80 ((~v181(constB130)) <=> v104(constB130)),
% 16.58/11.80 inference(unit_resolution,[status(thm)],[28477, 14484, 13612])).
% 16.58/11.81 tff(28479,plain,
% 16.58/11.81 ((~((~v181(constB130)) <=> v104(constB130))) | v181(constB130) | v104(constB130)),
% 16.58/11.81 inference(tautology,[status(thm)],[])).
% 16.58/11.81 tff(28480,plain,
% 16.58/11.81 (v181(constB130)),
% 16.58/11.81 inference(unit_resolution,[status(thm)],[28479, 14509, 28478])).
% 16.58/11.81 tff(28481,plain,
% 16.58/11.81 ((~((~v1(constB130)) | (~v181(constB130)))) | (~v1(constB130)) | (~v181(constB130))),
% 16.58/11.81 inference(tautology,[status(thm)],[])).
% 16.58/11.81 tff(28482,plain,
% 16.58/11.81 ((~((~v1(constB130)) | (~v181(constB130)))) | (~v181(constB130))),
% 16.58/11.81 inference(unit_resolution,[status(thm)],[28481, 14514])).
% 16.58/11.81 tff(28483,plain,
% 16.58/11.81 (~((~v1(constB130)) | (~v181(constB130)))),
% 16.58/11.81 inference(unit_resolution,[status(thm)],[28482, 28480])).
% 16.58/11.81 tff(28484,plain,
% 16.58/11.81 ((~(v180(constB130) <=> (~((~v1(constB130)) | (~v181(constB130)))))) | v180(constB130) | ((~v1(constB130)) | (~v181(constB130)))),
% 16.58/11.81 inference(tautology,[status(thm)],[])).
% 16.58/11.81 tff(28485,plain,
% 16.58/11.81 (v180(constB130)),
% 16.58/11.81 inference(unit_resolution,[status(thm)],[28484, 28483, 28474])).
% 16.58/11.81 tff(28486,plain,
% 16.58/11.81 ((~(v179(constB130) <=> v180(constB130))) | v179(constB130) | (~v180(constB130))),
% 16.58/11.81 inference(tautology,[status(thm)],[])).
% 16.58/11.81 tff(28487,plain,
% 16.58/11.81 (v179(constB130)),
% 16.58/11.81 inference(unit_resolution,[status(thm)],[28486, 28485, 28467])).
% 16.58/11.81 tff(28488,plain,
% 16.58/11.81 (((~![VarNext: $i] : ((~v179(VarNext)) | (v159(VarNext) <=> v186(VarNext)))) | ((~v179(constB130)) | (v159(constB130) <=> v186(constB130)))) <=> ((~![VarNext: $i] : ((~v179(VarNext)) | (v159(VarNext) <=> v186(VarNext)))) | (~v179(constB130)) | (v159(constB130) <=> v186(constB130)))),
% 16.58/11.81 inference(rewrite,[status(thm)],[])).
% 16.58/11.81 tff(28489,plain,
% 16.58/11.81 ((~![VarNext: $i] : ((~v179(VarNext)) | (v159(VarNext) <=> v186(VarNext)))) | ((~v179(constB130)) | (v159(constB130) <=> v186(constB130)))),
% 16.58/11.81 inference(quant_inst,[status(thm)],[])).
% 16.58/11.81 tff(28490,plain,
% 16.58/11.81 ((~![VarNext: $i] : ((~v179(VarNext)) | (v159(VarNext) <=> v186(VarNext)))) | (~v179(constB130)) | (v159(constB130) <=> v186(constB130))),
% 16.58/11.81 inference(modus_ponens,[status(thm)],[28489, 28488])).
% 16.58/11.81 tff(28491,plain,
% 16.58/11.81 (v159(constB130) <=> v186(constB130)),
% 16.58/11.81 inference(unit_resolution,[status(thm)],[28490, 13648, 28487])).
% 16.58/11.81 tff(28492,plain,
% 16.58/11.81 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v186(VarNext) <=> v161(VarCurr)))) | ((~nextState(constB129, constB130)) | (v186(constB130) <=> v161(constB129)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v186(VarNext) <=> v161(VarCurr)))) | (~nextState(constB129, constB130)) | (v186(constB130) <=> v161(constB129)))),
% 16.58/11.81 inference(rewrite,[status(thm)],[])).
% 16.58/11.81 tff(28493,plain,
% 16.58/11.81 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v186(VarNext) <=> v161(VarCurr)))) | ((~nextState(constB129, constB130)) | (v186(constB130) <=> v161(constB129)))),
% 16.58/11.81 inference(quant_inst,[status(thm)],[])).
% 16.58/11.81 tff(28494,plain,
% 16.58/11.81 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v186(VarNext) <=> v161(VarCurr)))) | (~nextState(constB129, constB130)) | (v186(constB130) <=> v161(constB129))),
% 16.58/11.81 inference(modus_ponens,[status(thm)],[28493, 28492])).
% 16.58/11.81 tff(28495,plain,
% 16.58/11.81 (v186(constB130) <=> v161(constB129)),
% 16.58/11.81 inference(unit_resolution,[status(thm)],[28494, 14484, 13662])).
% 16.58/11.81 tff(28496,plain,
% 16.58/11.81 ((~![VarCurr: $i] : (v161(VarCurr) <=> v163(VarCurr))) | (v161(constB129) <=> v163(constB129))),
% 16.58/11.81 inference(quant_inst,[status(thm)],[])).
% 16.58/11.81 tff(28497,plain,
% 16.58/11.81 (v161(constB129) <=> v163(constB129)),
% 16.58/11.81 inference(unit_resolution,[status(thm)],[28496, 357])).
% 16.58/11.81 tff(28498,plain,
% 16.58/11.81 ((~![VarCurr: $i] : (v171(VarCurr) <=> (v142(VarCurr) | v150(VarCurr)))) | (v171(constB129) <=> (v142(constB129) | v150(constB129)))),
% 16.58/11.81 inference(quant_inst,[status(thm)],[])).
% 16.58/11.81 tff(28499,plain,
% 16.58/11.81 (v171(constB129) <=> (v142(constB129) | v150(constB129))),
% 16.58/11.81 inference(unit_resolution,[status(thm)],[28498, 369])).
% 16.58/11.81 tff(28500,plain,
% 16.58/11.81 ((~![VarCurr: $i] : (v142(VarCurr) <=> (v143(VarCurr) | v144(VarCurr)))) | (v142(constB129) <=> (v143(constB129) | v144(constB129)))),
% 16.58/11.81 inference(quant_inst,[status(thm)],[])).
% 16.58/11.81 tff(28501,plain,
% 16.58/11.81 (v142(constB129) <=> (v143(constB129) | v144(constB129))),
% 16.58/11.81 inference(unit_resolution,[status(thm)],[28500, 378])).
% 16.58/11.81 tff(28502,plain,
% 16.58/11.81 (((~![VarCurr: $i] : (v143(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)))))) | (v143(constB129) <=> (~(v88(constB129, bitIndex2) | (~v88(constB129, bitIndex1)) | v88(constB129, bitIndex0))))) <=> ((~![VarCurr: $i] : (v143(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)))))) | (v143(constB129) <=> (~(v88(constB129, bitIndex2) | (~v88(constB129, bitIndex1)) | v88(constB129, bitIndex0)))))),
% 16.58/11.81 inference(rewrite,[status(thm)],[])).
% 16.58/11.81 tff(28503,plain,
% 16.58/11.81 ((v143(constB129) <=> (~(v88(constB129, bitIndex0) | v88(constB129, bitIndex2) | (~v88(constB129, bitIndex1))))) <=> (v143(constB129) <=> (~(v88(constB129, bitIndex2) | (~v88(constB129, bitIndex1)) | v88(constB129, bitIndex0))))),
% 16.58/11.81 inference(rewrite,[status(thm)],[])).
% 16.58/11.81 tff(28504,plain,
% 16.58/11.81 (((~![VarCurr: $i] : (v143(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)))))) | (v143(constB129) <=> (~(v88(constB129, bitIndex0) | v88(constB129, bitIndex2) | (~v88(constB129, bitIndex1)))))) <=> ((~![VarCurr: $i] : (v143(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)))))) | (v143(constB129) <=> (~(v88(constB129, bitIndex2) | (~v88(constB129, bitIndex1)) | v88(constB129, bitIndex0)))))),
% 16.58/11.81 inference(monotonicity,[status(thm)],[28503])).
% 16.58/11.81 tff(28505,plain,
% 16.58/11.81 (((~![VarCurr: $i] : (v143(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)))))) | (v143(constB129) <=> (~(v88(constB129, bitIndex0) | v88(constB129, bitIndex2) | (~v88(constB129, bitIndex1)))))) <=> ((~![VarCurr: $i] : (v143(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)))))) | (v143(constB129) <=> (~(v88(constB129, bitIndex2) | (~v88(constB129, bitIndex1)) | v88(constB129, bitIndex0)))))),
% 16.58/11.81 inference(transitivity,[status(thm)],[28504, 28502])).
% 16.58/11.81 tff(28506,plain,
% 16.58/11.81 ((~![VarCurr: $i] : (v143(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)))))) | (v143(constB129) <=> (~(v88(constB129, bitIndex0) | v88(constB129, bitIndex2) | (~v88(constB129, bitIndex1)))))),
% 16.58/11.81 inference(quant_inst,[status(thm)],[])).
% 16.58/11.81 tff(28507,plain,
% 16.58/11.81 ((~![VarCurr: $i] : (v143(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)))))) | (v143(constB129) <=> (~(v88(constB129, bitIndex2) | (~v88(constB129, bitIndex1)) | v88(constB129, bitIndex0))))),
% 16.58/11.81 inference(modus_ponens,[status(thm)],[28506, 28505])).
% 16.58/11.81 tff(28508,plain,
% 16.58/11.81 (v143(constB129) <=> (~(v88(constB129, bitIndex2) | (~v88(constB129, bitIndex1)) | v88(constB129, bitIndex0)))),
% 16.58/11.81 inference(unit_resolution,[status(thm)],[28507, 20665])).
% 16.58/11.81 tff(28509,plain,
% 16.58/11.81 (((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | ((~less_3(bitIndex2)) | (v88(constB129, bitIndex2) <=> v90(constB129, bitIndex2)))) <=> ((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | (~less_3(bitIndex2)) | (v88(constB129, bitIndex2) <=> v90(constB129, bitIndex2)))),
% 16.58/11.81 inference(rewrite,[status(thm)],[])).
% 16.58/11.81 tff(28510,plain,
% 16.58/11.81 ((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | ((~less_3(bitIndex2)) | (v88(constB129, bitIndex2) <=> v90(constB129, bitIndex2)))),
% 16.58/11.81 inference(quant_inst,[status(thm)],[])).
% 16.58/11.81 tff(28511,plain,
% 16.58/11.81 ((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | (~less_3(bitIndex2)) | (v88(constB129, bitIndex2) <=> v90(constB129, bitIndex2))),
% 16.58/11.81 inference(modus_ponens,[status(thm)],[28510, 28509])).
% 16.58/11.81 tff(28512,plain,
% 16.58/11.81 (v88(constB129, bitIndex2) <=> v90(constB129, bitIndex2)),
% 16.58/11.81 inference(unit_resolution,[status(thm)],[28511, 413, 410])).
% 16.58/11.81 tff(28513,plain,
% 16.58/11.81 ((~(v88(constB129, bitIndex2) <=> v90(constB129, bitIndex2))) | (~v88(constB129, bitIndex2)) | v90(constB129, bitIndex2)),
% 16.61/11.81 inference(tautology,[status(thm)],[])).
% 16.61/11.81 tff(28514,plain,
% 16.61/11.81 (~v88(constB129, bitIndex2)),
% 16.61/11.81 inference(unit_resolution,[status(thm)],[28513, 18901, 28512])).
% 16.61/11.81 tff(28515,plain,
% 16.61/11.81 (((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | ((~less_3(bitIndex0)) | (v88(constB129, bitIndex0) <=> v90(constB129, bitIndex0)))) <=> ((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | (~less_3(bitIndex0)) | (v88(constB129, bitIndex0) <=> v90(constB129, bitIndex0)))),
% 16.61/11.81 inference(rewrite,[status(thm)],[])).
% 16.61/11.81 tff(28516,plain,
% 16.61/11.81 ((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | ((~less_3(bitIndex0)) | (v88(constB129, bitIndex0) <=> v90(constB129, bitIndex0)))),
% 16.61/11.81 inference(quant_inst,[status(thm)],[])).
% 16.61/11.81 tff(28517,plain,
% 16.61/11.81 ((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | (~less_3(bitIndex0)) | (v88(constB129, bitIndex0) <=> v90(constB129, bitIndex0))),
% 16.61/11.81 inference(modus_ponens,[status(thm)],[28516, 28515])).
% 16.61/11.81 tff(28518,plain,
% 16.61/11.81 (v88(constB129, bitIndex0) <=> v90(constB129, bitIndex0)),
% 16.61/11.81 inference(unit_resolution,[status(thm)],[28517, 5004, 410])).
% 16.61/11.81 tff(28519,plain,
% 16.61/11.81 ((~(v88(constB129, bitIndex0) <=> v90(constB129, bitIndex0))) | (~v88(constB129, bitIndex0)) | v90(constB129, bitIndex0)),
% 16.61/11.81 inference(tautology,[status(thm)],[])).
% 16.61/11.81 tff(28520,plain,
% 16.61/11.81 (~v88(constB129, bitIndex0)),
% 16.61/11.81 inference(unit_resolution,[status(thm)],[28519, 18932, 28518])).
% 16.61/11.81 tff(28521,plain,
% 16.61/11.81 (((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | ((~less_3(bitIndex1)) | (v88(constB129, bitIndex1) <=> v90(constB129, bitIndex1)))) <=> ((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | (~less_3(bitIndex1)) | (v88(constB129, bitIndex1) <=> v90(constB129, bitIndex1)))),
% 16.61/11.81 inference(rewrite,[status(thm)],[])).
% 16.61/11.81 tff(28522,plain,
% 16.61/11.81 ((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | ((~less_3(bitIndex1)) | (v88(constB129, bitIndex1) <=> v90(constB129, bitIndex1)))),
% 16.61/11.81 inference(quant_inst,[status(thm)],[])).
% 16.61/11.81 tff(28523,plain,
% 16.61/11.81 ((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | (~less_3(bitIndex1)) | (v88(constB129, bitIndex1) <=> v90(constB129, bitIndex1))),
% 16.61/11.81 inference(modus_ponens,[status(thm)],[28522, 28521])).
% 16.61/11.81 tff(28524,plain,
% 16.61/11.81 (v88(constB129, bitIndex1) <=> v90(constB129, bitIndex1)),
% 16.61/11.81 inference(unit_resolution,[status(thm)],[28523, 5017, 410])).
% 16.61/11.81 tff(28525,plain,
% 16.61/11.81 ((~(v88(constB129, bitIndex1) <=> v90(constB129, bitIndex1))) | v88(constB129, bitIndex1) | (~v90(constB129, bitIndex1))),
% 16.61/11.81 inference(tautology,[status(thm)],[])).
% 16.61/11.81 tff(28526,plain,
% 16.61/11.81 (v88(constB129, bitIndex1)),
% 16.61/11.81 inference(unit_resolution,[status(thm)],[28525, 18963, 28524])).
% 16.61/11.81 tff(28527,plain,
% 16.61/11.81 ((~(v88(constB129, bitIndex2) | (~v88(constB129, bitIndex1)) | v88(constB129, bitIndex0))) | v88(constB129, bitIndex2) | (~v88(constB129, bitIndex1)) | v88(constB129, bitIndex0)),
% 16.61/11.81 inference(tautology,[status(thm)],[])).
% 16.61/11.81 tff(28528,plain,
% 16.61/11.81 (~(v88(constB129, bitIndex2) | (~v88(constB129, bitIndex1)) | v88(constB129, bitIndex0))),
% 16.61/11.81 inference(unit_resolution,[status(thm)],[28527, 28526, 28520, 28514])).
% 16.61/11.81 tff(28529,plain,
% 16.61/11.81 ((~(v143(constB129) <=> (~(v88(constB129, bitIndex2) | (~v88(constB129, bitIndex1)) | v88(constB129, bitIndex0))))) | v143(constB129) | (v88(constB129, bitIndex2) | (~v88(constB129, bitIndex1)) | v88(constB129, bitIndex0))),
% 16.61/11.81 inference(tautology,[status(thm)],[])).
% 16.61/11.81 tff(28530,plain,
% 16.61/11.81 (v143(constB129)),
% 16.61/11.81 inference(unit_resolution,[status(thm)],[28529, 28528, 28508])).
% 16.61/11.81 tff(28531,plain,
% 16.61/11.81 ((v143(constB129) | v144(constB129)) | (~v143(constB129))),
% 16.61/11.81 inference(tautology,[status(thm)],[])).
% 16.61/11.81 tff(28532,plain,
% 16.61/11.81 (v143(constB129) | v144(constB129)),
% 16.61/11.81 inference(unit_resolution,[status(thm)],[28531, 28530])).
% 16.61/11.81 tff(28533,plain,
% 16.61/11.81 ((~(v142(constB129) <=> (v143(constB129) | v144(constB129)))) | v142(constB129) | (~(v143(constB129) | v144(constB129)))),
% 16.61/11.81 inference(tautology,[status(thm)],[])).
% 16.61/11.81 tff(28534,plain,
% 16.61/11.81 (v142(constB129)),
% 16.61/11.81 inference(unit_resolution,[status(thm)],[28533, 28532, 28501])).
% 16.61/11.81 tff(28535,plain,
% 16.61/11.81 ((v142(constB129) | v150(constB129)) | (~v142(constB129))),
% 16.61/11.81 inference(tautology,[status(thm)],[])).
% 16.61/11.81 tff(28536,plain,
% 16.61/11.81 (v142(constB129) | v150(constB129)),
% 16.61/11.81 inference(unit_resolution,[status(thm)],[28535, 28534])).
% 16.61/11.81 tff(28537,plain,
% 16.61/11.81 ((~(v171(constB129) <=> (v142(constB129) | v150(constB129)))) | v171(constB129) | (~(v142(constB129) | v150(constB129)))),
% 16.61/11.81 inference(tautology,[status(thm)],[])).
% 16.61/11.81 tff(28538,plain,
% 16.61/11.81 (v171(constB129)),
% 16.61/11.81 inference(unit_resolution,[status(thm)],[28537, 28536, 28499])).
% 16.61/11.81 tff(28539,plain,
% 16.61/11.81 (((~![VarCurr: $i] : ((~v171(VarCurr)) | (~v170(VarCurr)))) | ((~v170(constB129)) | (~v171(constB129)))) <=> ((~![VarCurr: $i] : ((~v171(VarCurr)) | (~v170(VarCurr)))) | (~v170(constB129)) | (~v171(constB129)))),
% 16.61/11.81 inference(rewrite,[status(thm)],[])).
% 16.61/11.81 tff(28540,plain,
% 16.61/11.81 (((~v171(constB129)) | (~v170(constB129))) <=> ((~v170(constB129)) | (~v171(constB129)))),
% 16.61/11.81 inference(rewrite,[status(thm)],[])).
% 16.61/11.81 tff(28541,plain,
% 16.61/11.81 (((~![VarCurr: $i] : ((~v171(VarCurr)) | (~v170(VarCurr)))) | ((~v171(constB129)) | (~v170(constB129)))) <=> ((~![VarCurr: $i] : ((~v171(VarCurr)) | (~v170(VarCurr)))) | ((~v170(constB129)) | (~v171(constB129))))),
% 16.61/11.81 inference(monotonicity,[status(thm)],[28540])).
% 16.61/11.81 tff(28542,plain,
% 16.61/11.81 (((~![VarCurr: $i] : ((~v171(VarCurr)) | (~v170(VarCurr)))) | ((~v171(constB129)) | (~v170(constB129)))) <=> ((~![VarCurr: $i] : ((~v171(VarCurr)) | (~v170(VarCurr)))) | (~v170(constB129)) | (~v171(constB129)))),
% 16.61/11.81 inference(transitivity,[status(thm)],[28541, 28539])).
% 16.61/11.81 tff(28543,plain,
% 16.61/11.81 ((~![VarCurr: $i] : ((~v171(VarCurr)) | (~v170(VarCurr)))) | ((~v171(constB129)) | (~v170(constB129)))),
% 16.61/11.81 inference(quant_inst,[status(thm)],[])).
% 16.61/11.81 tff(28544,plain,
% 16.61/11.81 ((~![VarCurr: $i] : ((~v171(VarCurr)) | (~v170(VarCurr)))) | (~v170(constB129)) | (~v171(constB129))),
% 16.61/11.81 inference(modus_ponens,[status(thm)],[28543, 28542])).
% 16.61/11.81 tff(28545,plain,
% 16.61/11.81 ((~v170(constB129)) | (~v171(constB129))),
% 16.61/11.81 inference(unit_resolution,[status(thm)],[28544, 13061])).
% 16.61/11.81 tff(28546,plain,
% 16.61/11.81 (~v170(constB129)),
% 16.61/11.81 inference(unit_resolution,[status(thm)],[28545, 28538])).
% 16.61/11.81 tff(28547,plain,
% 16.61/11.81 ((~![VarCurr: $i] : (v166(VarCurr) <=> (v145(VarCurr) | v167(VarCurr)))) | (v166(constB129) <=> (v145(constB129) | v167(constB129)))),
% 16.61/11.81 inference(quant_inst,[status(thm)],[])).
% 16.61/11.81 tff(28548,plain,
% 16.61/11.81 (v166(constB129) <=> (v145(constB129) | v167(constB129))),
% 16.61/11.81 inference(unit_resolution,[status(thm)],[28547, 13079])).
% 16.61/11.81 tff(28549,plain,
% 16.61/11.81 ((~![VarCurr: $i] : (v167(VarCurr) <=> (v142(VarCurr) | v168(VarCurr)))) | (v167(constB129) <=> (v142(constB129) | v168(constB129)))),
% 16.61/11.81 inference(quant_inst,[status(thm)],[])).
% 16.61/11.81 tff(28550,plain,
% 16.61/11.81 (v167(constB129) <=> (v142(constB129) | v168(constB129))),
% 16.61/11.81 inference(unit_resolution,[status(thm)],[28549, 13091])).
% 16.61/11.81 tff(28551,plain,
% 16.61/11.81 ((v142(constB129) | v168(constB129)) | (~v142(constB129))),
% 16.61/11.81 inference(tautology,[status(thm)],[])).
% 16.61/11.81 tff(28552,plain,
% 16.61/11.81 (v142(constB129) | v168(constB129)),
% 16.61/11.81 inference(unit_resolution,[status(thm)],[28551, 28534])).
% 16.61/11.81 tff(28553,plain,
% 16.61/11.81 ((~(v167(constB129) <=> (v142(constB129) | v168(constB129)))) | v167(constB129) | (~(v142(constB129) | v168(constB129)))),
% 16.61/11.81 inference(tautology,[status(thm)],[])).
% 16.61/11.81 tff(28554,plain,
% 16.61/11.81 (v167(constB129)),
% 16.61/11.81 inference(unit_resolution,[status(thm)],[28553, 28552, 28550])).
% 16.61/11.81 tff(28555,plain,
% 16.61/11.81 ((v145(constB129) | v167(constB129)) | (~v167(constB129))),
% 16.61/11.81 inference(tautology,[status(thm)],[])).
% 16.61/11.81 tff(28556,plain,
% 16.61/11.81 (v145(constB129) | v167(constB129)),
% 16.61/11.81 inference(unit_resolution,[status(thm)],[28555, 28554])).
% 16.61/11.81 tff(28557,plain,
% 16.61/11.81 ((~(v166(constB129) <=> (v145(constB129) | v167(constB129)))) | v166(constB129) | (~(v145(constB129) | v167(constB129)))),
% 16.61/11.81 inference(tautology,[status(thm)],[])).
% 16.61/11.81 tff(28558,plain,
% 16.61/11.81 (v166(constB129)),
% 16.61/11.81 inference(unit_resolution,[status(thm)],[28557, 28556, 28548])).
% 16.61/11.81 tff(28559,plain,
% 16.61/11.81 (((~![VarNext: $i] : ((~v166(VarNext)) | (v163(VarNext) <=> v170(VarNext)))) | ((~v166(constB129)) | (v163(constB129) <=> v170(constB129)))) <=> ((~![VarNext: $i] : ((~v166(VarNext)) | (v163(VarNext) <=> v170(VarNext)))) | (~v166(constB129)) | (v163(constB129) <=> v170(constB129)))),
% 16.61/11.82 inference(rewrite,[status(thm)],[])).
% 16.61/11.82 tff(28560,plain,
% 16.61/11.82 ((~![VarNext: $i] : ((~v166(VarNext)) | (v163(VarNext) <=> v170(VarNext)))) | ((~v166(constB129)) | (v163(constB129) <=> v170(constB129)))),
% 16.61/11.82 inference(quant_inst,[status(thm)],[])).
% 16.61/11.82 tff(28561,plain,
% 16.61/11.82 ((~![VarNext: $i] : ((~v166(VarNext)) | (v163(VarNext) <=> v170(VarNext)))) | (~v166(constB129)) | (v163(constB129) <=> v170(constB129))),
% 16.61/11.82 inference(modus_ponens,[status(thm)],[28560, 28559])).
% 16.61/11.82 tff(28562,plain,
% 16.61/11.82 ((~v166(constB129)) | (v163(constB129) <=> v170(constB129))),
% 16.61/11.82 inference(unit_resolution,[status(thm)],[28561, 13111])).
% 16.61/11.82 tff(28563,plain,
% 16.61/11.82 (v163(constB129) <=> v170(constB129)),
% 16.61/11.82 inference(unit_resolution,[status(thm)],[28562, 28558])).
% 16.61/11.82 tff(28564,plain,
% 16.61/11.82 ((~(v163(constB129) <=> v170(constB129))) | (~v163(constB129)) | v170(constB129)),
% 16.61/11.82 inference(tautology,[status(thm)],[])).
% 16.61/11.82 tff(28565,plain,
% 16.61/11.82 (~v163(constB129)),
% 16.61/11.82 inference(unit_resolution,[status(thm)],[28564, 28563, 28546])).
% 16.61/11.82 tff(28566,plain,
% 16.61/11.82 ((~(v161(constB129) <=> v163(constB129))) | (~v161(constB129)) | v163(constB129)),
% 16.61/11.82 inference(tautology,[status(thm)],[])).
% 16.61/11.82 tff(28567,plain,
% 16.61/11.82 (~v161(constB129)),
% 16.61/11.82 inference(unit_resolution,[status(thm)],[28566, 28565, 28497])).
% 16.61/11.82 tff(28568,plain,
% 16.61/11.82 ((~(v186(constB130) <=> v161(constB129))) | (~v186(constB130)) | v161(constB129)),
% 16.61/11.82 inference(tautology,[status(thm)],[])).
% 16.61/11.82 tff(28569,plain,
% 16.61/11.82 (~v186(constB130)),
% 16.61/11.82 inference(unit_resolution,[status(thm)],[28568, 28567, 28495])).
% 16.61/11.82 tff(28570,plain,
% 16.61/11.82 ((~(v159(constB130) <=> v186(constB130))) | (~v159(constB130)) | v186(constB130)),
% 16.61/11.82 inference(tautology,[status(thm)],[])).
% 16.61/11.82 tff(28571,plain,
% 16.61/11.82 (~v159(constB130)),
% 16.61/11.82 inference(unit_resolution,[status(thm)],[28570, 28569, 28491])).
% 16.61/11.82 tff(28572,plain,
% 16.61/11.82 ((~(v159(constB131) <=> v159(constB130))) | (~v159(constB131)) | v159(constB130)),
% 16.61/11.82 inference(tautology,[status(thm)],[])).
% 16.61/11.82 tff(28573,plain,
% 16.61/11.82 (~v159(constB131)),
% 16.61/11.82 inference(unit_resolution,[status(thm)],[28572, 28571, 28463])).
% 16.61/11.82 tff(28574,plain,
% 16.61/11.82 (((~v159(constB131)) | (~v161(constB131))) | v159(constB131)),
% 16.61/11.82 inference(tautology,[status(thm)],[])).
% 16.61/11.82 tff(28575,plain,
% 16.61/11.82 ((~v159(constB131)) | (~v161(constB131))),
% 16.61/11.82 inference(unit_resolution,[status(thm)],[28574, 28573])).
% 16.61/11.82 tff(28576,plain,
% 16.61/11.82 ((~(v201(constB131) <=> (~((~v159(constB131)) | (~v161(constB131)))))) | (~v201(constB131)) | (~((~v159(constB131)) | (~v161(constB131))))),
% 16.61/11.82 inference(tautology,[status(thm)],[])).
% 16.61/11.82 tff(28577,plain,
% 16.61/11.82 (~v201(constB131)),
% 16.61/11.82 inference(unit_resolution,[status(thm)],[28576, 28575, 28437])).
% 16.61/11.82 tff(28578,plain,
% 16.61/11.82 (((~v197(constB131)) | (~v201(constB131))) | v201(constB131)),
% 16.61/11.82 inference(tautology,[status(thm)],[])).
% 16.61/11.82 tff(28579,plain,
% 16.61/11.82 ((~v197(constB131)) | (~v201(constB131))),
% 16.61/11.82 inference(unit_resolution,[status(thm)],[28578, 28577])).
% 16.61/11.82 tff(28580,plain,
% 16.61/11.82 ((~(v200(constB131) <=> (~((~v197(constB131)) | (~v201(constB131)))))) | (~v200(constB131)) | (~((~v197(constB131)) | (~v201(constB131))))),
% 16.61/11.82 inference(tautology,[status(thm)],[])).
% 16.61/11.82 tff(28581,plain,
% 16.61/11.82 (~v200(constB131)),
% 16.61/11.82 inference(unit_resolution,[status(thm)],[28580, 28579, 28435])).
% 16.61/11.82 tff(28582,plain,
% 16.61/11.82 (((~v199(constB131)) | (~v200(constB131))) | v200(constB131)),
% 16.61/11.82 inference(tautology,[status(thm)],[])).
% 16.61/11.82 tff(28583,plain,
% 16.61/11.82 ((~v199(constB131)) | (~v200(constB131))),
% 16.61/11.82 inference(unit_resolution,[status(thm)],[28582, 28581])).
% 16.61/11.82 tff(28584,plain,
% 16.61/11.82 ((~(v198(constB131) <=> (~((~v199(constB131)) | (~v200(constB131)))))) | (~v198(constB131)) | (~((~v199(constB131)) | (~v200(constB131))))),
% 16.61/11.82 inference(tautology,[status(thm)],[])).
% 16.61/11.82 tff(28585,plain,
% 16.61/11.82 (~v198(constB131)),
% 16.61/11.82 inference(unit_resolution,[status(thm)],[28584, 28583, 28433])).
% 16.61/11.82 tff(28586,plain,
% 16.61/11.82 ((~(v194(constB131) | v198(constB131))) | v194(constB131) | v198(constB131)),
% 16.61/11.82 inference(tautology,[status(thm)],[])).
% 16.61/11.82 tff(28587,plain,
% 16.61/11.82 (~(v194(constB131) | v198(constB131))),
% 16.61/11.82 inference(unit_resolution,[status(thm)],[28586, 28585, 28431])).
% 16.61/11.82 tff(28588,plain,
% 16.61/11.82 ((~(v191(constB131) <=> (v194(constB131) | v198(constB131)))) | (~v191(constB131)) | (v194(constB131) | v198(constB131))),
% 16.61/11.82 inference(tautology,[status(thm)],[])).
% 16.61/11.82 tff(28589,plain,
% 16.61/11.82 (~v191(constB131)),
% 16.61/11.82 inference(unit_resolution,[status(thm)],[28588, 28587, 28358])).
% 16.61/11.82 tff(28590,plain,
% 16.61/11.82 ((~(v193(constB132) <=> v191(constB131))) | (~v193(constB132)) | v191(constB131)),
% 16.61/11.82 inference(tautology,[status(thm)],[])).
% 16.61/11.82 tff(28591,plain,
% 16.61/11.82 (~v193(constB132)),
% 16.61/11.82 inference(unit_resolution,[status(thm)],[28590, 28589, 28356])).
% 16.61/11.82 tff(28592,plain,
% 16.61/11.82 ((~(v157(constB132) <=> v193(constB132))) | (~v157(constB132)) | v193(constB132)),
% 16.61/11.82 inference(tautology,[status(thm)],[])).
% 16.61/11.82 tff(28593,plain,
% 16.61/11.82 (~v157(constB132)),
% 16.61/11.82 inference(unit_resolution,[status(thm)],[28592, 28591, 28352])).
% 16.61/11.82 tff(28594,plain,
% 16.61/11.82 (((~v157(constB132)) | (~v195(constB132))) | v157(constB132)),
% 16.61/11.82 inference(tautology,[status(thm)],[])).
% 16.61/11.82 tff(28595,plain,
% 16.61/11.82 ((~v157(constB132)) | (~v195(constB132))),
% 16.61/11.82 inference(unit_resolution,[status(thm)],[28594, 28593])).
% 16.61/11.82 tff(28596,plain,
% 16.61/11.82 ((~(v194(constB132) <=> (~((~v157(constB132)) | (~v195(constB132)))))) | (~v194(constB132)) | (~((~v157(constB132)) | (~v195(constB132))))),
% 16.61/11.82 inference(tautology,[status(thm)],[])).
% 16.61/11.82 tff(28597,plain,
% 16.61/11.82 (~v194(constB132)),
% 16.61/11.82 inference(unit_resolution,[status(thm)],[28596, 28595, 28350])).
% 16.61/11.82 tff(28598,plain,
% 16.61/11.82 ((~(v194(constB132) | v198(constB132))) | v194(constB132) | v198(constB132)),
% 16.61/11.82 inference(tautology,[status(thm)],[])).
% 16.61/11.82 tff(28599,plain,
% 16.61/11.82 (~(v194(constB132) | v198(constB132))),
% 16.61/11.82 inference(unit_resolution,[status(thm)],[28598, 28597, 28343])).
% 16.61/11.82 tff(28600,plain,
% 16.61/11.82 ((~(v191(constB132) <=> (v194(constB132) | v198(constB132)))) | (~v191(constB132)) | (v194(constB132) | v198(constB132))),
% 16.61/11.82 inference(tautology,[status(thm)],[])).
% 16.61/11.82 tff(28601,plain,
% 16.61/11.82 (~v191(constB132)),
% 16.61/11.82 inference(unit_resolution,[status(thm)],[28600, 28599, 28318])).
% 16.61/11.82 tff(28602,plain,
% 16.61/11.82 ((~(v193(constB133) <=> v191(constB132))) | (~v193(constB133)) | v191(constB132)),
% 16.61/11.82 inference(tautology,[status(thm)],[])).
% 16.61/11.82 tff(28603,plain,
% 16.61/11.82 (~v193(constB133)),
% 16.61/11.82 inference(unit_resolution,[status(thm)],[28602, 28601, 28316])).
% 16.61/11.82 tff(28604,plain,
% 16.61/11.82 ($false),
% 16.61/11.82 inference(unit_resolution,[status(thm)],[28603, 28312])).
% 16.61/11.82 tff(28605,plain,(~(constB133 = VarCurr!0)), inference(lemma,lemma(discharge,[]))).
% 16.61/11.82 tff(28606,assumption,(constB27 = VarCurr!0), introduced(assumption)).
% 16.61/11.82 tff(28607,plain,
% 16.61/11.82 (v193(constB27) <=> v193(VarCurr!0)),
% 16.61/11.82 inference(monotonicity,[status(thm)],[28606])).
% 16.61/11.82 tff(28608,plain,
% 16.61/11.82 (v193(VarCurr!0) <=> v193(constB27)),
% 16.61/11.82 inference(symmetry,[status(thm)],[28607])).
% 16.61/11.82 tff(28609,plain,
% 16.61/11.82 (v193(constB27)),
% 16.61/11.82 inference(modus_ponens,[status(thm)],[59, 28608])).
% 16.61/11.82 tff(28610,plain,
% 16.61/11.82 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v193(VarNext) <=> v191(VarCurr)))) | ((~nextState(constB26, constB27)) | (v193(constB27) <=> v191(constB26)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v193(VarNext) <=> v191(VarCurr)))) | (~nextState(constB26, constB27)) | (v193(constB27) <=> v191(constB26)))),
% 16.61/11.82 inference(rewrite,[status(thm)],[])).
% 16.61/11.82 tff(28611,plain,
% 16.61/11.82 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v193(VarNext) <=> v191(VarCurr)))) | ((~nextState(constB26, constB27)) | (v193(constB27) <=> v191(constB26)))),
% 16.61/11.82 inference(quant_inst,[status(thm)],[])).
% 16.61/11.82 tff(28612,plain,
% 16.61/11.82 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v193(VarNext) <=> v191(VarCurr)))) | (~nextState(constB26, constB27)) | (v193(constB27) <=> v191(constB26))),
% 16.61/11.82 inference(modus_ponens,[status(thm)],[28611, 28610])).
% 16.61/11.82 tff(28613,plain,
% 16.61/11.82 (v193(constB27) <=> v191(constB26)),
% 16.61/11.82 inference(unit_resolution,[status(thm)],[28612, 3767, 70])).
% 16.61/11.82 tff(28614,plain,
% 16.61/11.82 ((~![VarCurr: $i] : (v191(VarCurr) <=> (v194(VarCurr) | v198(VarCurr)))) | (v191(constB26) <=> (v194(constB26) | v198(constB26)))),
% 16.61/11.82 inference(quant_inst,[status(thm)],[])).
% 16.61/11.82 tff(28615,plain,
% 16.61/11.82 (v191(constB26) <=> (v194(constB26) | v198(constB26))),
% 16.61/11.82 inference(unit_resolution,[status(thm)],[28614, 84])).
% 16.61/11.82 tff(28616,plain,
% 16.61/11.82 ((~![VarCurr: $i] : (v198(VarCurr) <=> (~((~v199(VarCurr)) | (~v200(VarCurr)))))) | (v198(constB26) <=> (~((~v199(constB26)) | (~v200(constB26)))))),
% 16.61/11.82 inference(quant_inst,[status(thm)],[])).
% 16.61/11.82 tff(28617,plain,
% 16.61/11.82 (v198(constB26) <=> (~((~v199(constB26)) | (~v200(constB26))))),
% 16.61/11.82 inference(unit_resolution,[status(thm)],[28616, 96])).
% 16.61/11.82 tff(28618,plain,
% 16.61/11.82 ((~![VarCurr: $i] : (v200(VarCurr) <=> (~((~v197(VarCurr)) | (~v201(VarCurr)))))) | (v200(constB26) <=> (~((~v197(constB26)) | (~v201(constB26)))))),
% 16.61/11.82 inference(quant_inst,[status(thm)],[])).
% 16.61/11.82 tff(28619,plain,
% 16.61/11.82 (v200(constB26) <=> (~((~v197(constB26)) | (~v201(constB26))))),
% 16.61/11.82 inference(unit_resolution,[status(thm)],[28618, 108])).
% 16.61/11.82 tff(28620,plain,
% 16.61/11.82 ((~![VarCurr: $i] : (v197(VarCurr) <=> (~((~v39(VarCurr)) | (~v9(VarCurr)))))) | (v197(constB26) <=> (~((~v39(constB26)) | (~v9(constB26)))))),
% 16.61/11.82 inference(quant_inst,[status(thm)],[])).
% 16.61/11.82 tff(28621,plain,
% 16.61/11.82 (v197(constB26) <=> (~((~v39(constB26)) | (~v9(constB26))))),
% 16.61/11.82 inference(unit_resolution,[status(thm)],[28620, 120])).
% 16.61/11.82 tff(28622,plain,
% 16.61/11.82 ((~![VarCurr: $i] : ((~v39(VarCurr)) <=> v1(VarCurr))) | ((~v39(constB26)) <=> v1(constB26))),
% 16.61/11.82 inference(quant_inst,[status(thm)],[])).
% 16.61/11.82 tff(28623,plain,
% 16.61/11.82 ((~v39(constB26)) <=> v1(constB26)),
% 16.61/11.82 inference(unit_resolution,[status(thm)],[28622, 129])).
% 16.61/11.82 tff(28624,plain,
% 16.61/11.82 ((~((~v39(constB26)) <=> v1(constB26))) | (~v39(constB26)) | (~v1(constB26))),
% 16.61/11.82 inference(tautology,[status(thm)],[])).
% 16.61/11.82 tff(28625,plain,
% 16.61/11.82 ((~((~v39(constB26)) <=> v1(constB26))) | (~v39(constB26))),
% 16.61/11.82 inference(unit_resolution,[status(thm)],[28624, 3829])).
% 16.61/11.82 tff(28626,plain,
% 16.61/11.82 (~v39(constB26)),
% 16.61/11.82 inference(unit_resolution,[status(thm)],[28625, 28623])).
% 16.61/11.82 tff(28627,plain,
% 16.61/11.82 (((~v39(constB26)) | (~v9(constB26))) | v39(constB26)),
% 16.61/11.82 inference(tautology,[status(thm)],[])).
% 16.61/11.82 tff(28628,plain,
% 16.61/11.82 ((~v39(constB26)) | (~v9(constB26))),
% 16.61/11.82 inference(unit_resolution,[status(thm)],[28627, 28626])).
% 16.61/11.82 tff(28629,plain,
% 16.61/11.82 ((~(v197(constB26) <=> (~((~v39(constB26)) | (~v9(constB26)))))) | (~v197(constB26)) | (~((~v39(constB26)) | (~v9(constB26))))),
% 16.61/11.82 inference(tautology,[status(thm)],[])).
% 16.61/11.82 tff(28630,plain,
% 16.61/11.82 ((~(v197(constB26) <=> (~((~v39(constB26)) | (~v9(constB26)))))) | (~v197(constB26))),
% 16.61/11.82 inference(unit_resolution,[status(thm)],[28629, 28628])).
% 16.61/11.82 tff(28631,plain,
% 16.61/11.82 (~v197(constB26)),
% 16.61/11.82 inference(unit_resolution,[status(thm)],[28630, 28621])).
% 16.61/11.82 tff(28632,plain,
% 16.61/11.82 (((~v197(constB26)) | (~v201(constB26))) | v197(constB26)),
% 16.61/11.82 inference(tautology,[status(thm)],[])).
% 16.61/11.82 tff(28633,plain,
% 16.61/11.82 ((~v197(constB26)) | (~v201(constB26))),
% 16.61/11.82 inference(unit_resolution,[status(thm)],[28632, 28631])).
% 16.61/11.82 tff(28634,plain,
% 16.61/11.82 ((~(v200(constB26) <=> (~((~v197(constB26)) | (~v201(constB26)))))) | (~v200(constB26)) | (~((~v197(constB26)) | (~v201(constB26))))),
% 16.61/11.82 inference(tautology,[status(thm)],[])).
% 16.61/11.82 tff(28635,plain,
% 16.61/11.82 ((~(v200(constB26) <=> (~((~v197(constB26)) | (~v201(constB26)))))) | (~v200(constB26))),
% 16.61/11.82 inference(unit_resolution,[status(thm)],[28634, 28633])).
% 16.61/11.82 tff(28636,plain,
% 16.61/11.82 (~v200(constB26)),
% 16.61/11.82 inference(unit_resolution,[status(thm)],[28635, 28619])).
% 16.61/11.82 tff(28637,plain,
% 16.61/11.82 (((~v199(constB26)) | (~v200(constB26))) | v200(constB26)),
% 16.61/11.82 inference(tautology,[status(thm)],[])).
% 16.61/11.82 tff(28638,plain,
% 16.61/11.82 ((~v199(constB26)) | (~v200(constB26))),
% 16.61/11.82 inference(unit_resolution,[status(thm)],[28637, 28636])).
% 16.61/11.82 tff(28639,plain,
% 16.61/11.82 ((~(v198(constB26) <=> (~((~v199(constB26)) | (~v200(constB26)))))) | (~v198(constB26)) | (~((~v199(constB26)) | (~v200(constB26))))),
% 16.61/11.82 inference(tautology,[status(thm)],[])).
% 16.61/11.82 tff(28640,plain,
% 16.61/11.82 (~v198(constB26)),
% 16.61/11.82 inference(unit_resolution,[status(thm)],[28639, 28638, 28617])).
% 16.61/11.82 tff(28641,plain,
% 16.61/11.82 (((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB26) <=> (~((~v157(constB26)) | (~v195(constB26)))))) <=> ((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB26) <=> (~((~v157(constB26)) | (~v195(constB26))))))),
% 16.61/11.82 inference(rewrite,[status(thm)],[])).
% 16.61/11.82 tff(28642,plain,
% 16.61/11.82 ((v194(constB26) <=> (~((~v195(constB26)) | (~v157(constB26))))) <=> (v194(constB26) <=> (~((~v157(constB26)) | (~v195(constB26)))))),
% 16.61/11.82 inference(rewrite,[status(thm)],[])).
% 16.61/11.82 tff(28643,plain,
% 16.61/11.82 (((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB26) <=> (~((~v195(constB26)) | (~v157(constB26)))))) <=> ((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB26) <=> (~((~v157(constB26)) | (~v195(constB26))))))),
% 16.61/11.82 inference(monotonicity,[status(thm)],[28642])).
% 16.61/11.82 tff(28644,plain,
% 16.61/11.82 (((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB26) <=> (~((~v195(constB26)) | (~v157(constB26)))))) <=> ((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB26) <=> (~((~v157(constB26)) | (~v195(constB26))))))),
% 16.61/11.82 inference(transitivity,[status(thm)],[28643, 28641])).
% 16.61/11.82 tff(28645,plain,
% 16.61/11.82 ((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB26) <=> (~((~v195(constB26)) | (~v157(constB26)))))),
% 16.61/11.82 inference(quant_inst,[status(thm)],[])).
% 16.61/11.82 tff(28646,plain,
% 16.61/11.82 ((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB26) <=> (~((~v157(constB26)) | (~v195(constB26)))))),
% 16.61/11.82 inference(modus_ponens,[status(thm)],[28645, 28644])).
% 16.61/11.82 tff(28647,plain,
% 16.61/11.82 (v194(constB26) <=> (~((~v157(constB26)) | (~v195(constB26))))),
% 16.61/11.82 inference(unit_resolution,[status(thm)],[28646, 161])).
% 16.61/11.82 tff(28648,plain,
% 16.61/11.82 ((~![VarNext: $i] : (v157(VarNext) <=> v193(VarNext))) | (v157(constB26) <=> v193(constB26))),
% 16.61/11.82 inference(quant_inst,[status(thm)],[])).
% 16.61/11.82 tff(28649,plain,
% 16.61/11.82 (v157(constB26) <=> v193(constB26)),
% 16.61/11.82 inference(unit_resolution,[status(thm)],[28648, 13])).
% 16.61/11.82 tff(28650,plain,
% 16.61/11.82 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v193(VarNext) <=> v191(VarCurr)))) | ((~nextState(constB25, constB26)) | (v193(constB26) <=> v191(constB25)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v193(VarNext) <=> v191(VarCurr)))) | (~nextState(constB25, constB26)) | (v193(constB26) <=> v191(constB25)))),
% 16.61/11.82 inference(rewrite,[status(thm)],[])).
% 16.61/11.82 tff(28651,plain,
% 16.61/11.82 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v193(VarNext) <=> v191(VarCurr)))) | ((~nextState(constB25, constB26)) | (v193(constB26) <=> v191(constB25)))),
% 16.61/11.82 inference(quant_inst,[status(thm)],[])).
% 16.61/11.82 tff(28652,plain,
% 16.61/11.82 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v193(VarNext) <=> v191(VarCurr)))) | (~nextState(constB25, constB26)) | (v193(constB26) <=> v191(constB25))),
% 16.61/11.82 inference(modus_ponens,[status(thm)],[28651, 28650])).
% 16.61/11.82 tff(28653,plain,
% 16.61/11.82 (v193(constB26) <=> v191(constB25)),
% 16.61/11.82 inference(unit_resolution,[status(thm)],[28652, 3799, 70])).
% 16.61/11.82 tff(28654,plain,
% 16.61/11.82 ((~![VarCurr: $i] : (v191(VarCurr) <=> (v194(VarCurr) | v198(VarCurr)))) | (v191(constB25) <=> (v194(constB25) | v198(constB25)))),
% 16.61/11.82 inference(quant_inst,[status(thm)],[])).
% 16.61/11.82 tff(28655,plain,
% 16.61/11.82 (v191(constB25) <=> (v194(constB25) | v198(constB25))),
% 16.61/11.82 inference(unit_resolution,[status(thm)],[28654, 84])).
% 16.61/11.82 tff(28656,plain,
% 16.61/11.82 (((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB25) <=> (~((~v157(constB25)) | (~v195(constB25)))))) <=> ((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB25) <=> (~((~v157(constB25)) | (~v195(constB25))))))),
% 16.61/11.82 inference(rewrite,[status(thm)],[])).
% 16.61/11.82 tff(28657,plain,
% 16.61/11.82 ((v194(constB25) <=> (~((~v195(constB25)) | (~v157(constB25))))) <=> (v194(constB25) <=> (~((~v157(constB25)) | (~v195(constB25)))))),
% 16.61/11.82 inference(rewrite,[status(thm)],[])).
% 16.61/11.82 tff(28658,plain,
% 16.61/11.82 (((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB25) <=> (~((~v195(constB25)) | (~v157(constB25)))))) <=> ((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB25) <=> (~((~v157(constB25)) | (~v195(constB25))))))),
% 16.61/11.82 inference(monotonicity,[status(thm)],[28657])).
% 16.61/11.82 tff(28659,plain,
% 16.61/11.82 (((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB25) <=> (~((~v195(constB25)) | (~v157(constB25)))))) <=> ((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB25) <=> (~((~v157(constB25)) | (~v195(constB25))))))),
% 16.61/11.82 inference(transitivity,[status(thm)],[28658, 28656])).
% 16.61/11.82 tff(28660,plain,
% 16.61/11.82 ((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB25) <=> (~((~v195(constB25)) | (~v157(constB25)))))),
% 16.61/11.82 inference(quant_inst,[status(thm)],[])).
% 16.61/11.82 tff(28661,plain,
% 16.61/11.82 ((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB25) <=> (~((~v157(constB25)) | (~v195(constB25)))))),
% 16.61/11.82 inference(modus_ponens,[status(thm)],[28660, 28659])).
% 16.61/11.82 tff(28662,plain,
% 16.61/11.82 (v194(constB25) <=> (~((~v157(constB25)) | (~v195(constB25))))),
% 16.61/11.82 inference(unit_resolution,[status(thm)],[28661, 161])).
% 16.61/11.82 tff(28663,plain,
% 16.61/11.82 ((~![VarCurr: $i] : ((~v195(VarCurr)) <=> v196(VarCurr))) | ((~v195(constB25)) <=> v196(constB25))),
% 16.61/11.82 inference(quant_inst,[status(thm)],[])).
% 16.61/11.82 tff(28664,plain,
% 16.61/11.82 ((~v195(constB25)) <=> v196(constB25)),
% 16.61/11.82 inference(unit_resolution,[status(thm)],[28663, 193])).
% 16.61/11.82 tff(28665,plain,
% 16.61/11.82 ((~![VarCurr: $i] : (v196(VarCurr) <=> (v197(VarCurr) | v26(VarCurr)))) | (v196(constB25) <=> (v197(constB25) | v26(constB25)))),
% 16.61/11.82 inference(quant_inst,[status(thm)],[])).
% 16.61/11.82 tff(28666,plain,
% 16.61/11.82 (v196(constB25) <=> (v197(constB25) | v26(constB25))),
% 16.61/11.82 inference(unit_resolution,[status(thm)],[28665, 202])).
% 16.61/11.82 tff(28667,plain,
% 16.61/11.82 ((~![VarCurr: $i] : (v197(VarCurr) <=> (~((~v39(VarCurr)) | (~v9(VarCurr)))))) | (v197(constB25) <=> (~((~v39(constB25)) | (~v9(constB25)))))),
% 16.61/11.82 inference(quant_inst,[status(thm)],[])).
% 16.61/11.82 tff(28668,plain,
% 16.61/11.82 (v197(constB25) <=> (~((~v39(constB25)) | (~v9(constB25))))),
% 16.61/11.82 inference(unit_resolution,[status(thm)],[28667, 120])).
% 16.61/11.82 tff(28669,plain,
% 16.61/11.82 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | ((~nextState(constB25, constB26)) | (v13(constB26) <=> v9(constB25)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | (~nextState(constB25, constB26)) | (v13(constB26) <=> v9(constB25)))),
% 16.61/11.82 inference(rewrite,[status(thm)],[])).
% 16.61/11.82 tff(28670,plain,
% 16.61/11.82 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | ((~nextState(constB25, constB26)) | (v13(constB26) <=> v9(constB25)))),
% 16.61/11.82 inference(quant_inst,[status(thm)],[])).
% 16.61/11.82 tff(28671,plain,
% 16.61/11.82 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | (~nextState(constB25, constB26)) | (v13(constB26) <=> v9(constB25))),
% 16.61/11.82 inference(modus_ponens,[status(thm)],[28670, 28669])).
% 16.61/11.82 tff(28672,plain,
% 16.61/11.82 (v13(constB26) <=> v9(constB25)),
% 16.61/11.82 inference(unit_resolution,[status(thm)],[28671, 3799, 216])).
% 16.61/11.82 tff(28673,plain,
% 16.61/11.82 ((~![VarNext: $i] : (v6(VarNext) <=> v13(VarNext))) | (v6(constB26) <=> v13(constB26))),
% 16.61/11.82 inference(quant_inst,[status(thm)],[])).
% 16.61/11.82 tff(28674,plain,
% 16.61/11.82 (v6(constB26) <=> v13(constB26)),
% 16.61/11.82 inference(unit_resolution,[status(thm)],[28673, 230])).
% 16.61/11.82 tff(28675,plain,
% 16.61/11.82 ((~![VarCurr: $i] : ((~v21(VarCurr)) <=> v6(VarCurr))) | ((~v21(constB26)) <=> v6(constB26))),
% 16.61/11.82 inference(quant_inst,[status(thm)],[])).
% 16.61/11.82 tff(28676,plain,
% 16.61/11.82 ((~v21(constB26)) <=> v6(constB26)),
% 16.61/11.82 inference(unit_resolution,[status(thm)],[28675, 239])).
% 16.61/11.82 tff(28677,plain,
% 16.61/11.82 ((~![VarCurr: $i] : (v19(VarCurr) <=> (v20(VarCurr) | v21(VarCurr)))) | (v19(constB26) <=> (v20(constB26) | v21(constB26)))),
% 16.61/11.82 inference(quant_inst,[status(thm)],[])).
% 16.61/11.82 tff(28678,plain,
% 16.61/11.82 (v19(constB26) <=> (v20(constB26) | v21(constB26))),
% 16.61/11.83 inference(unit_resolution,[status(thm)],[28677, 248])).
% 16.61/11.83 tff(28679,plain,
% 16.61/11.83 ((~![VarCurr: $i] : (v18(VarCurr) <=> (~((~v19(VarCurr)) | (~v22(VarCurr)))))) | (v18(constB26) <=> (~((~v19(constB26)) | (~v22(constB26)))))),
% 16.61/11.83 inference(quant_inst,[status(thm)],[])).
% 16.61/11.83 tff(28680,plain,
% 16.61/11.83 (v18(constB26) <=> (~((~v19(constB26)) | (~v22(constB26))))),
% 16.61/11.83 inference(unit_resolution,[status(thm)],[28679, 260])).
% 16.61/11.83 tff(28681,plain,
% 16.61/11.83 ((~![VarCurr: $i] : ((~v4(VarCurr)) <=> v18(VarCurr))) | ((~v4(constB26)) <=> v18(constB26))),
% 16.61/11.83 inference(quant_inst,[status(thm)],[])).
% 16.61/11.83 tff(28682,plain,
% 16.61/11.83 ((~v4(constB26)) <=> v18(constB26)),
% 16.61/11.83 inference(unit_resolution,[status(thm)],[28681, 269])).
% 16.61/11.83 tff(28683,plain,
% 16.61/11.83 ((~![VarCurr: $i] : v4(VarCurr)) | v4(constB26)),
% 16.61/11.83 inference(quant_inst,[status(thm)],[])).
% 16.61/11.83 tff(28684,plain,
% 16.61/11.83 (v4(constB26)),
% 16.61/11.83 inference(unit_resolution,[status(thm)],[28683, 278])).
% 16.61/11.83 tff(28685,plain,
% 16.61/11.83 ((~((~v4(constB26)) <=> v18(constB26))) | (~v4(constB26)) | (~v18(constB26))),
% 16.61/11.83 inference(tautology,[status(thm)],[])).
% 16.61/11.83 tff(28686,plain,
% 16.61/11.83 (~v18(constB26)),
% 16.61/11.83 inference(unit_resolution,[status(thm)],[28685, 28684, 28682])).
% 16.61/11.83 tff(28687,plain,
% 16.61/11.83 ((~(v18(constB26) <=> (~((~v19(constB26)) | (~v22(constB26)))))) | v18(constB26) | ((~v19(constB26)) | (~v22(constB26)))),
% 16.61/11.83 inference(tautology,[status(thm)],[])).
% 16.61/11.83 tff(28688,plain,
% 16.61/11.83 ((~v19(constB26)) | (~v22(constB26))),
% 16.61/11.83 inference(unit_resolution,[status(thm)],[28687, 28686, 28680])).
% 16.61/11.83 tff(28689,plain,
% 16.61/11.83 ((~![VarCurr: $i] : (v22(VarCurr) <=> (v1(VarCurr) | v6(VarCurr)))) | (v22(constB26) <=> (v1(constB26) | v6(constB26)))),
% 16.61/11.83 inference(quant_inst,[status(thm)],[])).
% 16.61/11.83 tff(28690,plain,
% 16.61/11.83 (v22(constB26) <=> (v1(constB26) | v6(constB26))),
% 16.61/11.83 inference(unit_resolution,[status(thm)],[28689, 291])).
% 16.61/11.83 tff(28691,plain,
% 16.61/11.83 ((v1(constB26) | v6(constB26)) | (~v1(constB26))),
% 16.61/11.83 inference(tautology,[status(thm)],[])).
% 16.61/11.83 tff(28692,plain,
% 16.61/11.83 (v1(constB26) | v6(constB26)),
% 16.61/11.83 inference(unit_resolution,[status(thm)],[28691, 3829])).
% 16.61/11.83 tff(28693,plain,
% 16.61/11.83 ((~(v22(constB26) <=> (v1(constB26) | v6(constB26)))) | v22(constB26) | (~(v1(constB26) | v6(constB26)))),
% 16.61/11.83 inference(tautology,[status(thm)],[])).
% 16.61/11.83 tff(28694,plain,
% 16.61/11.83 ((~(v22(constB26) <=> (v1(constB26) | v6(constB26)))) | v22(constB26)),
% 16.61/11.83 inference(unit_resolution,[status(thm)],[28693, 28692])).
% 16.61/11.83 tff(28695,plain,
% 16.61/11.83 (v22(constB26)),
% 16.61/11.83 inference(unit_resolution,[status(thm)],[28694, 28690])).
% 16.61/11.83 tff(28696,plain,
% 16.61/11.83 ((~((~v19(constB26)) | (~v22(constB26)))) | (~v19(constB26)) | (~v22(constB26))),
% 16.61/11.83 inference(tautology,[status(thm)],[])).
% 16.61/11.83 tff(28697,plain,
% 16.61/11.83 ((~((~v19(constB26)) | (~v22(constB26)))) | (~v19(constB26))),
% 16.61/11.83 inference(unit_resolution,[status(thm)],[28696, 28695])).
% 16.61/11.83 tff(28698,plain,
% 16.61/11.83 (~v19(constB26)),
% 16.61/11.83 inference(unit_resolution,[status(thm)],[28697, 28688])).
% 16.61/11.83 tff(28699,plain,
% 16.61/11.83 ((~(v19(constB26) <=> (v20(constB26) | v21(constB26)))) | v19(constB26) | (~(v20(constB26) | v21(constB26)))),
% 16.61/11.83 inference(tautology,[status(thm)],[])).
% 16.61/11.83 tff(28700,plain,
% 16.61/11.83 (~(v20(constB26) | v21(constB26))),
% 16.61/11.83 inference(unit_resolution,[status(thm)],[28699, 28698, 28678])).
% 16.61/11.83 tff(28701,plain,
% 16.61/11.83 ((v20(constB26) | v21(constB26)) | (~v21(constB26))),
% 16.61/11.83 inference(tautology,[status(thm)],[])).
% 16.61/11.83 tff(28702,plain,
% 16.61/11.83 (~v21(constB26)),
% 16.61/11.83 inference(unit_resolution,[status(thm)],[28701, 28700])).
% 16.61/11.83 tff(28703,plain,
% 16.61/11.83 ((~((~v21(constB26)) <=> v6(constB26))) | v21(constB26) | v6(constB26)),
% 16.61/11.83 inference(tautology,[status(thm)],[])).
% 16.61/11.83 tff(28704,plain,
% 16.61/11.83 (v6(constB26)),
% 16.61/11.83 inference(unit_resolution,[status(thm)],[28703, 28702, 28676])).
% 16.61/11.83 tff(28705,plain,
% 16.61/11.83 ((~(v6(constB26) <=> v13(constB26))) | (~v6(constB26)) | v13(constB26)),
% 16.61/11.83 inference(tautology,[status(thm)],[])).
% 16.61/11.83 tff(28706,plain,
% 16.61/11.83 (v13(constB26)),
% 16.61/11.83 inference(unit_resolution,[status(thm)],[28705, 28704, 28674])).
% 16.61/11.83 tff(28707,plain,
% 16.61/11.83 ((~(v13(constB26) <=> v9(constB25))) | (~v13(constB26)) | v9(constB25)),
% 16.61/11.83 inference(tautology,[status(thm)],[])).
% 16.61/11.83 tff(28708,plain,
% 16.61/11.83 (v9(constB25)),
% 16.61/11.83 inference(unit_resolution,[status(thm)],[28707, 28706, 28672])).
% 16.63/11.83 tff(28709,plain,
% 16.63/11.83 ((~![VarCurr: $i] : ((~v39(VarCurr)) <=> v1(VarCurr))) | ((~v39(constB25)) <=> v1(constB25))),
% 16.63/11.83 inference(quant_inst,[status(thm)],[])).
% 16.63/11.83 tff(28710,plain,
% 16.63/11.83 ((~v39(constB25)) <=> v1(constB25)),
% 16.63/11.83 inference(unit_resolution,[status(thm)],[28709, 129])).
% 16.63/11.83 tff(28711,plain,
% 16.63/11.83 ((~((~v39(constB25)) <=> v1(constB25))) | v39(constB25) | v1(constB25)),
% 16.63/11.83 inference(tautology,[status(thm)],[])).
% 16.63/11.83 tff(28712,plain,
% 16.63/11.83 ((~((~v39(constB25)) <=> v1(constB25))) | v39(constB25)),
% 16.63/11.83 inference(unit_resolution,[status(thm)],[28711, 3821])).
% 16.63/11.83 tff(28713,plain,
% 16.63/11.83 (v39(constB25)),
% 16.63/11.83 inference(unit_resolution,[status(thm)],[28712, 28710])).
% 16.63/11.83 tff(28714,plain,
% 16.63/11.83 ((~((~v39(constB25)) | (~v9(constB25)))) | (~v39(constB25)) | (~v9(constB25))),
% 16.63/11.83 inference(tautology,[status(thm)],[])).
% 16.63/11.83 tff(28715,plain,
% 16.63/11.83 ((~((~v39(constB25)) | (~v9(constB25)))) | (~v9(constB25))),
% 16.63/11.83 inference(unit_resolution,[status(thm)],[28714, 28713])).
% 16.63/11.83 tff(28716,plain,
% 16.63/11.83 (~((~v39(constB25)) | (~v9(constB25)))),
% 16.63/11.83 inference(unit_resolution,[status(thm)],[28715, 28708])).
% 16.63/11.83 tff(28717,plain,
% 16.63/11.83 ((~(v197(constB25) <=> (~((~v39(constB25)) | (~v9(constB25)))))) | v197(constB25) | ((~v39(constB25)) | (~v9(constB25)))),
% 16.63/11.83 inference(tautology,[status(thm)],[])).
% 16.63/11.83 tff(28718,plain,
% 16.63/11.83 (v197(constB25)),
% 16.63/11.83 inference(unit_resolution,[status(thm)],[28717, 28716, 28668])).
% 16.63/11.83 tff(28719,plain,
% 16.63/11.83 ((v197(constB25) | v26(constB25)) | (~v197(constB25))),
% 16.63/11.83 inference(tautology,[status(thm)],[])).
% 16.63/11.83 tff(28720,plain,
% 16.63/11.83 (v197(constB25) | v26(constB25)),
% 16.63/11.83 inference(unit_resolution,[status(thm)],[28719, 28718])).
% 16.63/11.83 tff(28721,plain,
% 16.63/11.83 ((~(v196(constB25) <=> (v197(constB25) | v26(constB25)))) | v196(constB25) | (~(v197(constB25) | v26(constB25)))),
% 16.63/11.83 inference(tautology,[status(thm)],[])).
% 16.63/11.83 tff(28722,plain,
% 16.63/11.83 (v196(constB25)),
% 16.63/11.83 inference(unit_resolution,[status(thm)],[28721, 28720, 28666])).
% 16.63/11.83 tff(28723,plain,
% 16.63/11.83 ((~((~v195(constB25)) <=> v196(constB25))) | (~v195(constB25)) | (~v196(constB25))),
% 16.63/11.83 inference(tautology,[status(thm)],[])).
% 16.63/11.83 tff(28724,plain,
% 16.63/11.83 (~v195(constB25)),
% 16.63/11.83 inference(unit_resolution,[status(thm)],[28723, 28722, 28664])).
% 16.63/11.83 tff(28725,plain,
% 16.63/11.83 (((~v157(constB25)) | (~v195(constB25))) | v195(constB25)),
% 16.63/11.83 inference(tautology,[status(thm)],[])).
% 16.63/11.83 tff(28726,plain,
% 16.63/11.83 ((~v157(constB25)) | (~v195(constB25))),
% 16.63/11.83 inference(unit_resolution,[status(thm)],[28725, 28724])).
% 16.63/11.83 tff(28727,plain,
% 16.63/11.83 ((~(v194(constB25) <=> (~((~v157(constB25)) | (~v195(constB25)))))) | (~v194(constB25)) | (~((~v157(constB25)) | (~v195(constB25))))),
% 16.63/11.83 inference(tautology,[status(thm)],[])).
% 16.63/11.83 tff(28728,plain,
% 16.63/11.83 (~v194(constB25)),
% 16.63/11.83 inference(unit_resolution,[status(thm)],[28727, 28726, 28662])).
% 16.63/11.83 tff(28729,plain,
% 16.63/11.83 ((~![VarCurr: $i] : (v198(VarCurr) <=> (~((~v199(VarCurr)) | (~v200(VarCurr)))))) | (v198(constB25) <=> (~((~v199(constB25)) | (~v200(constB25)))))),
% 16.63/11.83 inference(quant_inst,[status(thm)],[])).
% 16.63/11.83 tff(28730,plain,
% 16.63/11.83 (v198(constB25) <=> (~((~v199(constB25)) | (~v200(constB25))))),
% 16.63/11.83 inference(unit_resolution,[status(thm)],[28729, 96])).
% 16.63/11.83 tff(28731,plain,
% 16.63/11.83 ((~![VarCurr: $i] : (v200(VarCurr) <=> (~((~v197(VarCurr)) | (~v201(VarCurr)))))) | (v200(constB25) <=> (~((~v197(constB25)) | (~v201(constB25)))))),
% 16.63/11.83 inference(quant_inst,[status(thm)],[])).
% 16.63/11.83 tff(28732,plain,
% 16.63/11.83 (v200(constB25) <=> (~((~v197(constB25)) | (~v201(constB25))))),
% 16.63/11.83 inference(unit_resolution,[status(thm)],[28731, 108])).
% 16.63/11.83 tff(28733,plain,
% 16.63/11.83 ((~![VarCurr: $i] : (v201(VarCurr) <=> (~((~v159(VarCurr)) | (~v161(VarCurr)))))) | (v201(constB25) <=> (~((~v159(constB25)) | (~v161(constB25)))))),
% 16.63/11.83 inference(quant_inst,[status(thm)],[])).
% 16.63/11.83 tff(28734,plain,
% 16.63/11.83 (v201(constB25) <=> (~((~v159(constB25)) | (~v161(constB25))))),
% 16.63/11.83 inference(unit_resolution,[status(thm)],[28733, 348])).
% 16.63/11.83 tff(28735,plain,
% 16.63/11.83 ((~![VarCurr: $i] : (v161(VarCurr) <=> v163(VarCurr))) | (v161(constB25) <=> v163(constB25))),
% 16.63/11.83 inference(quant_inst,[status(thm)],[])).
% 16.63/11.83 tff(28736,plain,
% 16.63/11.83 (v161(constB25) <=> v163(constB25)),
% 16.63/11.83 inference(unit_resolution,[status(thm)],[28735, 357])).
% 16.63/11.83 tff(28737,plain,
% 16.63/11.83 ((~![VarCurr: $i] : (v171(VarCurr) <=> (v142(VarCurr) | v150(VarCurr)))) | (v171(constB25) <=> (v142(constB25) | v150(constB25)))),
% 16.63/11.83 inference(quant_inst,[status(thm)],[])).
% 16.63/11.83 tff(28738,plain,
% 16.63/11.83 (v171(constB25) <=> (v142(constB25) | v150(constB25))),
% 16.63/11.83 inference(unit_resolution,[status(thm)],[28737, 369])).
% 16.63/11.83 tff(28739,plain,
% 16.63/11.83 ((~![VarCurr: $i] : (v142(VarCurr) <=> (v143(VarCurr) | v144(VarCurr)))) | (v142(constB25) <=> (v143(constB25) | v144(constB25)))),
% 16.63/11.83 inference(quant_inst,[status(thm)],[])).
% 16.63/11.83 tff(28740,plain,
% 16.63/11.83 (v142(constB25) <=> (v143(constB25) | v144(constB25))),
% 16.63/11.83 inference(unit_resolution,[status(thm)],[28739, 378])).
% 16.63/11.83 tff(28741,plain,
% 16.63/11.83 (((~![VarCurr: $i] : (v144(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex2)))))) | (v144(constB25) <=> (~((~v88(constB25, bitIndex2)) | (~v88(constB25, bitIndex1)) | v88(constB25, bitIndex0))))) <=> ((~![VarCurr: $i] : (v144(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex2)))))) | (v144(constB25) <=> (~((~v88(constB25, bitIndex2)) | (~v88(constB25, bitIndex1)) | v88(constB25, bitIndex0)))))),
% 16.63/11.83 inference(rewrite,[status(thm)],[])).
% 16.63/11.83 tff(28742,plain,
% 16.63/11.83 ((v144(constB25) <=> (~(v88(constB25, bitIndex0) | (~v88(constB25, bitIndex1)) | (~v88(constB25, bitIndex2))))) <=> (v144(constB25) <=> (~((~v88(constB25, bitIndex2)) | (~v88(constB25, bitIndex1)) | v88(constB25, bitIndex0))))),
% 16.63/11.83 inference(rewrite,[status(thm)],[])).
% 16.63/11.83 tff(28743,plain,
% 16.63/11.83 (((~![VarCurr: $i] : (v144(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex2)))))) | (v144(constB25) <=> (~(v88(constB25, bitIndex0) | (~v88(constB25, bitIndex1)) | (~v88(constB25, bitIndex2)))))) <=> ((~![VarCurr: $i] : (v144(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex2)))))) | (v144(constB25) <=> (~((~v88(constB25, bitIndex2)) | (~v88(constB25, bitIndex1)) | v88(constB25, bitIndex0)))))),
% 16.63/11.83 inference(monotonicity,[status(thm)],[28742])).
% 16.63/11.83 tff(28744,plain,
% 16.63/11.83 (((~![VarCurr: $i] : (v144(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex2)))))) | (v144(constB25) <=> (~(v88(constB25, bitIndex0) | (~v88(constB25, bitIndex1)) | (~v88(constB25, bitIndex2)))))) <=> ((~![VarCurr: $i] : (v144(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex2)))))) | (v144(constB25) <=> (~((~v88(constB25, bitIndex2)) | (~v88(constB25, bitIndex1)) | v88(constB25, bitIndex0)))))),
% 16.63/11.83 inference(transitivity,[status(thm)],[28743, 28741])).
% 16.63/11.83 tff(28745,plain,
% 16.63/11.83 ((~![VarCurr: $i] : (v144(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex2)))))) | (v144(constB25) <=> (~(v88(constB25, bitIndex0) | (~v88(constB25, bitIndex1)) | (~v88(constB25, bitIndex2)))))),
% 16.63/11.83 inference(quant_inst,[status(thm)],[])).
% 16.63/11.83 tff(28746,plain,
% 16.63/11.83 ((~![VarCurr: $i] : (v144(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex2)))))) | (v144(constB25) <=> (~((~v88(constB25, bitIndex2)) | (~v88(constB25, bitIndex1)) | v88(constB25, bitIndex0))))),
% 16.63/11.83 inference(modus_ponens,[status(thm)],[28745, 28744])).
% 16.63/11.83 tff(28747,plain,
% 16.63/11.83 (v144(constB25) <=> (~((~v88(constB25, bitIndex2)) | (~v88(constB25, bitIndex1)) | v88(constB25, bitIndex0)))),
% 16.63/11.83 inference(unit_resolution,[status(thm)],[28746, 393])).
% 16.63/11.83 tff(28748,plain,
% 16.63/11.83 (((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | ((~less_3(bitIndex2)) | (v88(constB25, bitIndex2) <=> v90(constB25, bitIndex2)))) <=> ((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | (~less_3(bitIndex2)) | (v88(constB25, bitIndex2) <=> v90(constB25, bitIndex2)))),
% 16.63/11.83 inference(rewrite,[status(thm)],[])).
% 16.63/11.83 tff(28749,plain,
% 16.63/11.83 ((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | ((~less_3(bitIndex2)) | (v88(constB25, bitIndex2) <=> v90(constB25, bitIndex2)))),
% 16.63/11.83 inference(quant_inst,[status(thm)],[])).
% 16.63/11.83 tff(28750,plain,
% 16.63/11.83 ((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | (~less_3(bitIndex2)) | (v88(constB25, bitIndex2) <=> v90(constB25, bitIndex2))),
% 16.63/11.83 inference(modus_ponens,[status(thm)],[28749, 28748])).
% 16.63/11.83 tff(28751,plain,
% 16.63/11.83 (v88(constB25, bitIndex2) <=> v90(constB25, bitIndex2)),
% 16.63/11.83 inference(unit_resolution,[status(thm)],[28750, 413, 410])).
% 16.63/11.83 tff(28752,plain,
% 16.63/11.83 ((~(v88(constB25, bitIndex2) <=> v90(constB25, bitIndex2))) | v88(constB25, bitIndex2) | (~v90(constB25, bitIndex2))),
% 16.63/11.83 inference(tautology,[status(thm)],[])).
% 16.63/11.83 tff(28753,plain,
% 16.63/11.83 (v88(constB25, bitIndex2)),
% 16.63/11.83 inference(unit_resolution,[status(thm)],[28752, 7153, 28751])).
% 16.63/11.83 tff(28754,plain,
% 16.63/11.83 (((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | ((~less_3(bitIndex0)) | (v88(constB25, bitIndex0) <=> v90(constB25, bitIndex0)))) <=> ((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | (~less_3(bitIndex0)) | (v88(constB25, bitIndex0) <=> v90(constB25, bitIndex0)))),
% 16.63/11.83 inference(rewrite,[status(thm)],[])).
% 16.63/11.83 tff(28755,plain,
% 16.63/11.83 ((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | ((~less_3(bitIndex0)) | (v88(constB25, bitIndex0) <=> v90(constB25, bitIndex0)))),
% 16.63/11.83 inference(quant_inst,[status(thm)],[])).
% 16.63/11.83 tff(28756,plain,
% 16.63/11.83 ((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | (~less_3(bitIndex0)) | (v88(constB25, bitIndex0) <=> v90(constB25, bitIndex0))),
% 16.63/11.83 inference(modus_ponens,[status(thm)],[28755, 28754])).
% 16.63/11.83 tff(28757,plain,
% 16.63/11.83 (v88(constB25, bitIndex0) <=> v90(constB25, bitIndex0)),
% 16.63/11.83 inference(unit_resolution,[status(thm)],[28756, 5004, 410])).
% 16.63/11.83 tff(28758,plain,
% 16.63/11.83 ((~(v88(constB25, bitIndex0) <=> v90(constB25, bitIndex0))) | (~v88(constB25, bitIndex0)) | v90(constB25, bitIndex0)),
% 16.63/11.83 inference(tautology,[status(thm)],[])).
% 16.63/11.83 tff(28759,plain,
% 16.63/11.83 (~v88(constB25, bitIndex0)),
% 16.63/11.83 inference(unit_resolution,[status(thm)],[28758, 7184, 28757])).
% 16.63/11.83 tff(28760,plain,
% 16.63/11.83 (((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | ((~less_3(bitIndex1)) | (v88(constB25, bitIndex1) <=> v90(constB25, bitIndex1)))) <=> ((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | (~less_3(bitIndex1)) | (v88(constB25, bitIndex1) <=> v90(constB25, bitIndex1)))),
% 16.63/11.83 inference(rewrite,[status(thm)],[])).
% 16.63/11.83 tff(28761,plain,
% 16.63/11.83 ((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | ((~less_3(bitIndex1)) | (v88(constB25, bitIndex1) <=> v90(constB25, bitIndex1)))),
% 16.63/11.83 inference(quant_inst,[status(thm)],[])).
% 16.63/11.83 tff(28762,plain,
% 16.63/11.83 ((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | (~less_3(bitIndex1)) | (v88(constB25, bitIndex1) <=> v90(constB25, bitIndex1))),
% 16.63/11.83 inference(modus_ponens,[status(thm)],[28761, 28760])).
% 16.63/11.83 tff(28763,plain,
% 16.63/11.83 (v88(constB25, bitIndex1) <=> v90(constB25, bitIndex1)),
% 16.63/11.83 inference(unit_resolution,[status(thm)],[28762, 5017, 410])).
% 16.63/11.83 tff(28764,plain,
% 16.63/11.83 ((~(v88(constB25, bitIndex1) <=> v90(constB25, bitIndex1))) | v88(constB25, bitIndex1) | (~v90(constB25, bitIndex1))),
% 16.63/11.83 inference(tautology,[status(thm)],[])).
% 16.63/11.83 tff(28765,plain,
% 16.63/11.83 (v88(constB25, bitIndex1)),
% 16.63/11.83 inference(unit_resolution,[status(thm)],[28764, 7215, 28763])).
% 16.63/11.83 tff(28766,plain,
% 16.63/11.83 ((~((~v88(constB25, bitIndex2)) | (~v88(constB25, bitIndex1)) | v88(constB25, bitIndex0))) | (~v88(constB25, bitIndex2)) | (~v88(constB25, bitIndex1)) | v88(constB25, bitIndex0)),
% 16.63/11.83 inference(tautology,[status(thm)],[])).
% 16.63/11.83 tff(28767,plain,
% 16.63/11.83 (~((~v88(constB25, bitIndex2)) | (~v88(constB25, bitIndex1)) | v88(constB25, bitIndex0))),
% 16.63/11.83 inference(unit_resolution,[status(thm)],[28766, 28765, 28759, 28753])).
% 16.63/11.83 tff(28768,plain,
% 16.63/11.83 ((~(v144(constB25) <=> (~((~v88(constB25, bitIndex2)) | (~v88(constB25, bitIndex1)) | v88(constB25, bitIndex0))))) | v144(constB25) | ((~v88(constB25, bitIndex2)) | (~v88(constB25, bitIndex1)) | v88(constB25, bitIndex0))),
% 16.63/11.83 inference(tautology,[status(thm)],[])).
% 16.63/11.83 tff(28769,plain,
% 16.63/11.83 (v144(constB25)),
% 16.63/11.84 inference(unit_resolution,[status(thm)],[28768, 28767, 28747])).
% 16.63/11.84 tff(28770,plain,
% 16.63/11.84 ((v143(constB25) | v144(constB25)) | (~v144(constB25))),
% 16.63/11.84 inference(tautology,[status(thm)],[])).
% 16.63/11.84 tff(28771,plain,
% 16.63/11.84 (v143(constB25) | v144(constB25)),
% 16.63/11.84 inference(unit_resolution,[status(thm)],[28770, 28769])).
% 16.63/11.84 tff(28772,plain,
% 16.63/11.84 ((~(v142(constB25) <=> (v143(constB25) | v144(constB25)))) | v142(constB25) | (~(v143(constB25) | v144(constB25)))),
% 16.63/11.84 inference(tautology,[status(thm)],[])).
% 16.63/11.84 tff(28773,plain,
% 16.63/11.84 (v142(constB25)),
% 16.63/11.84 inference(unit_resolution,[status(thm)],[28772, 28771, 28740])).
% 16.63/11.84 tff(28774,plain,
% 16.63/11.84 ((v142(constB25) | v150(constB25)) | (~v142(constB25))),
% 16.63/11.84 inference(tautology,[status(thm)],[])).
% 16.63/11.84 tff(28775,plain,
% 16.63/11.84 (v142(constB25) | v150(constB25)),
% 16.63/11.84 inference(unit_resolution,[status(thm)],[28774, 28773])).
% 16.63/11.84 tff(28776,plain,
% 16.63/11.84 ((~(v171(constB25) <=> (v142(constB25) | v150(constB25)))) | v171(constB25) | (~(v142(constB25) | v150(constB25)))),
% 16.63/11.84 inference(tautology,[status(thm)],[])).
% 16.63/11.84 tff(28777,plain,
% 16.63/11.84 (v171(constB25)),
% 16.63/11.84 inference(unit_resolution,[status(thm)],[28776, 28775, 28738])).
% 16.63/11.84 tff(28778,plain,
% 16.63/11.84 (((~![VarCurr: $i] : ((~v171(VarCurr)) | (~v170(VarCurr)))) | ((~v170(constB25)) | (~v171(constB25)))) <=> ((~![VarCurr: $i] : ((~v171(VarCurr)) | (~v170(VarCurr)))) | (~v170(constB25)) | (~v171(constB25)))),
% 16.63/11.84 inference(rewrite,[status(thm)],[])).
% 16.63/11.84 tff(28779,plain,
% 16.63/11.84 (((~v171(constB25)) | (~v170(constB25))) <=> ((~v170(constB25)) | (~v171(constB25)))),
% 16.63/11.84 inference(rewrite,[status(thm)],[])).
% 16.63/11.84 tff(28780,plain,
% 16.63/11.84 (((~![VarCurr: $i] : ((~v171(VarCurr)) | (~v170(VarCurr)))) | ((~v171(constB25)) | (~v170(constB25)))) <=> ((~![VarCurr: $i] : ((~v171(VarCurr)) | (~v170(VarCurr)))) | ((~v170(constB25)) | (~v171(constB25))))),
% 16.63/11.84 inference(monotonicity,[status(thm)],[28779])).
% 16.63/11.84 tff(28781,plain,
% 16.63/11.84 (((~![VarCurr: $i] : ((~v171(VarCurr)) | (~v170(VarCurr)))) | ((~v171(constB25)) | (~v170(constB25)))) <=> ((~![VarCurr: $i] : ((~v171(VarCurr)) | (~v170(VarCurr)))) | (~v170(constB25)) | (~v171(constB25)))),
% 16.63/11.84 inference(transitivity,[status(thm)],[28780, 28778])).
% 16.63/11.84 tff(28782,plain,
% 16.63/11.84 ((~![VarCurr: $i] : ((~v171(VarCurr)) | (~v170(VarCurr)))) | ((~v171(constB25)) | (~v170(constB25)))),
% 16.63/11.84 inference(quant_inst,[status(thm)],[])).
% 16.63/11.84 tff(28783,plain,
% 16.63/11.84 ((~![VarCurr: $i] : ((~v171(VarCurr)) | (~v170(VarCurr)))) | (~v170(constB25)) | (~v171(constB25))),
% 16.63/11.84 inference(modus_ponens,[status(thm)],[28782, 28781])).
% 16.63/11.84 tff(28784,plain,
% 16.63/11.84 ((~v170(constB25)) | (~v171(constB25))),
% 16.63/11.84 inference(unit_resolution,[status(thm)],[28783, 13061])).
% 16.63/11.84 tff(28785,plain,
% 16.63/11.84 (~v170(constB25)),
% 16.63/11.84 inference(unit_resolution,[status(thm)],[28784, 28777])).
% 16.63/11.84 tff(28786,plain,
% 16.63/11.84 ((~![VarCurr: $i] : (v166(VarCurr) <=> (v145(VarCurr) | v167(VarCurr)))) | (v166(constB25) <=> (v145(constB25) | v167(constB25)))),
% 16.63/11.84 inference(quant_inst,[status(thm)],[])).
% 16.63/11.84 tff(28787,plain,
% 16.63/11.84 (v166(constB25) <=> (v145(constB25) | v167(constB25))),
% 16.63/11.84 inference(unit_resolution,[status(thm)],[28786, 13079])).
% 16.63/11.84 tff(28788,plain,
% 16.63/11.84 ((~![VarCurr: $i] : (v167(VarCurr) <=> (v142(VarCurr) | v168(VarCurr)))) | (v167(constB25) <=> (v142(constB25) | v168(constB25)))),
% 16.63/11.84 inference(quant_inst,[status(thm)],[])).
% 16.63/11.84 tff(28789,plain,
% 16.63/11.84 (v167(constB25) <=> (v142(constB25) | v168(constB25))),
% 16.63/11.84 inference(unit_resolution,[status(thm)],[28788, 13091])).
% 16.63/11.84 tff(28790,plain,
% 16.63/11.84 ((v142(constB25) | v168(constB25)) | (~v142(constB25))),
% 16.63/11.84 inference(tautology,[status(thm)],[])).
% 16.63/11.84 tff(28791,plain,
% 16.63/11.84 (v142(constB25) | v168(constB25)),
% 16.63/11.84 inference(unit_resolution,[status(thm)],[28790, 28773])).
% 16.63/11.84 tff(28792,plain,
% 16.63/11.84 ((~(v167(constB25) <=> (v142(constB25) | v168(constB25)))) | v167(constB25) | (~(v142(constB25) | v168(constB25)))),
% 16.63/11.84 inference(tautology,[status(thm)],[])).
% 16.63/11.84 tff(28793,plain,
% 16.63/11.84 (v167(constB25)),
% 16.63/11.84 inference(unit_resolution,[status(thm)],[28792, 28791, 28789])).
% 16.63/11.84 tff(28794,plain,
% 16.63/11.84 ((v145(constB25) | v167(constB25)) | (~v167(constB25))),
% 16.63/11.84 inference(tautology,[status(thm)],[])).
% 16.63/11.84 tff(28795,plain,
% 16.63/11.84 (v145(constB25) | v167(constB25)),
% 16.63/11.84 inference(unit_resolution,[status(thm)],[28794, 28793])).
% 16.63/11.84 tff(28796,plain,
% 16.63/11.84 ((~(v166(constB25) <=> (v145(constB25) | v167(constB25)))) | v166(constB25) | (~(v145(constB25) | v167(constB25)))),
% 16.63/11.84 inference(tautology,[status(thm)],[])).
% 16.63/11.84 tff(28797,plain,
% 16.63/11.84 (v166(constB25)),
% 16.63/11.84 inference(unit_resolution,[status(thm)],[28796, 28795, 28787])).
% 16.63/11.84 tff(28798,plain,
% 16.63/11.84 (((~![VarNext: $i] : ((~v166(VarNext)) | (v163(VarNext) <=> v170(VarNext)))) | ((~v166(constB25)) | (v163(constB25) <=> v170(constB25)))) <=> ((~![VarNext: $i] : ((~v166(VarNext)) | (v163(VarNext) <=> v170(VarNext)))) | (~v166(constB25)) | (v163(constB25) <=> v170(constB25)))),
% 16.63/11.84 inference(rewrite,[status(thm)],[])).
% 16.63/11.84 tff(28799,plain,
% 16.63/11.84 ((~![VarNext: $i] : ((~v166(VarNext)) | (v163(VarNext) <=> v170(VarNext)))) | ((~v166(constB25)) | (v163(constB25) <=> v170(constB25)))),
% 16.63/11.84 inference(quant_inst,[status(thm)],[])).
% 16.63/11.84 tff(28800,plain,
% 16.63/11.84 ((~![VarNext: $i] : ((~v166(VarNext)) | (v163(VarNext) <=> v170(VarNext)))) | (~v166(constB25)) | (v163(constB25) <=> v170(constB25))),
% 16.63/11.84 inference(modus_ponens,[status(thm)],[28799, 28798])).
% 16.63/11.84 tff(28801,plain,
% 16.63/11.84 ((~v166(constB25)) | (v163(constB25) <=> v170(constB25))),
% 16.63/11.84 inference(unit_resolution,[status(thm)],[28800, 13111])).
% 16.63/11.84 tff(28802,plain,
% 16.63/11.84 (v163(constB25) <=> v170(constB25)),
% 16.63/11.84 inference(unit_resolution,[status(thm)],[28801, 28797])).
% 16.63/11.84 tff(28803,plain,
% 16.63/11.84 ((~(v163(constB25) <=> v170(constB25))) | (~v163(constB25)) | v170(constB25)),
% 16.63/11.84 inference(tautology,[status(thm)],[])).
% 16.63/11.84 tff(28804,plain,
% 16.63/11.84 (~v163(constB25)),
% 16.63/11.84 inference(unit_resolution,[status(thm)],[28803, 28802, 28785])).
% 16.63/11.84 tff(28805,plain,
% 16.63/11.84 ((~(v161(constB25) <=> v163(constB25))) | (~v161(constB25)) | v163(constB25)),
% 16.63/11.84 inference(tautology,[status(thm)],[])).
% 16.63/11.84 tff(28806,plain,
% 16.63/11.84 (~v161(constB25)),
% 16.63/11.84 inference(unit_resolution,[status(thm)],[28805, 28804, 28736])).
% 16.63/11.84 tff(28807,plain,
% 16.63/11.84 (((~v159(constB25)) | (~v161(constB25))) | v161(constB25)),
% 16.63/11.84 inference(tautology,[status(thm)],[])).
% 16.63/11.84 tff(28808,plain,
% 16.63/11.84 ((~v159(constB25)) | (~v161(constB25))),
% 16.63/11.84 inference(unit_resolution,[status(thm)],[28807, 28806])).
% 16.63/11.84 tff(28809,plain,
% 16.63/11.84 ((~(v201(constB25) <=> (~((~v159(constB25)) | (~v161(constB25)))))) | (~v201(constB25)) | (~((~v159(constB25)) | (~v161(constB25))))),
% 16.63/11.84 inference(tautology,[status(thm)],[])).
% 16.63/11.84 tff(28810,plain,
% 16.63/11.84 (~v201(constB25)),
% 16.63/11.84 inference(unit_resolution,[status(thm)],[28809, 28808, 28734])).
% 16.63/11.84 tff(28811,plain,
% 16.63/11.84 (((~v197(constB25)) | (~v201(constB25))) | v201(constB25)),
% 16.63/11.84 inference(tautology,[status(thm)],[])).
% 16.63/11.84 tff(28812,plain,
% 16.63/11.84 ((~v197(constB25)) | (~v201(constB25))),
% 16.63/11.84 inference(unit_resolution,[status(thm)],[28811, 28810])).
% 16.63/11.84 tff(28813,plain,
% 16.63/11.84 ((~(v200(constB25) <=> (~((~v197(constB25)) | (~v201(constB25)))))) | (~v200(constB25)) | (~((~v197(constB25)) | (~v201(constB25))))),
% 16.63/11.84 inference(tautology,[status(thm)],[])).
% 16.63/11.84 tff(28814,plain,
% 16.63/11.84 (~v200(constB25)),
% 16.63/11.84 inference(unit_resolution,[status(thm)],[28813, 28812, 28732])).
% 16.63/11.84 tff(28815,plain,
% 16.63/11.84 (((~v199(constB25)) | (~v200(constB25))) | v200(constB25)),
% 16.63/11.84 inference(tautology,[status(thm)],[])).
% 16.63/11.84 tff(28816,plain,
% 16.63/11.84 ((~v199(constB25)) | (~v200(constB25))),
% 16.63/11.84 inference(unit_resolution,[status(thm)],[28815, 28814])).
% 16.63/11.84 tff(28817,plain,
% 16.63/11.84 ((~(v198(constB25) <=> (~((~v199(constB25)) | (~v200(constB25)))))) | (~v198(constB25)) | (~((~v199(constB25)) | (~v200(constB25))))),
% 16.63/11.84 inference(tautology,[status(thm)],[])).
% 16.63/11.84 tff(28818,plain,
% 16.63/11.84 (~v198(constB25)),
% 16.63/11.84 inference(unit_resolution,[status(thm)],[28817, 28816, 28730])).
% 16.63/11.84 tff(28819,plain,
% 16.63/11.84 ((~(v194(constB25) | v198(constB25))) | v194(constB25) | v198(constB25)),
% 16.63/11.84 inference(tautology,[status(thm)],[])).
% 16.63/11.84 tff(28820,plain,
% 16.63/11.84 (~(v194(constB25) | v198(constB25))),
% 16.63/11.84 inference(unit_resolution,[status(thm)],[28819, 28818, 28728])).
% 16.63/11.84 tff(28821,plain,
% 16.63/11.84 ((~(v191(constB25) <=> (v194(constB25) | v198(constB25)))) | (~v191(constB25)) | (v194(constB25) | v198(constB25))),
% 16.63/11.84 inference(tautology,[status(thm)],[])).
% 16.63/11.84 tff(28822,plain,
% 16.63/11.84 (~v191(constB25)),
% 16.63/11.84 inference(unit_resolution,[status(thm)],[28821, 28820, 28655])).
% 16.63/11.84 tff(28823,plain,
% 16.63/11.84 ((~(v193(constB26) <=> v191(constB25))) | (~v193(constB26)) | v191(constB25)),
% 16.63/11.84 inference(tautology,[status(thm)],[])).
% 16.63/11.84 tff(28824,plain,
% 16.63/11.84 (~v193(constB26)),
% 16.63/11.84 inference(unit_resolution,[status(thm)],[28823, 28822, 28653])).
% 16.63/11.84 tff(28825,plain,
% 16.63/11.84 ((~(v157(constB26) <=> v193(constB26))) | (~v157(constB26)) | v193(constB26)),
% 16.63/11.84 inference(tautology,[status(thm)],[])).
% 16.63/11.84 tff(28826,plain,
% 16.63/11.84 (~v157(constB26)),
% 16.63/11.84 inference(unit_resolution,[status(thm)],[28825, 28824, 28649])).
% 16.63/11.84 tff(28827,plain,
% 16.63/11.84 (((~v157(constB26)) | (~v195(constB26))) | v157(constB26)),
% 16.63/11.84 inference(tautology,[status(thm)],[])).
% 16.63/11.84 tff(28828,plain,
% 16.63/11.84 ((~v157(constB26)) | (~v195(constB26))),
% 16.63/11.84 inference(unit_resolution,[status(thm)],[28827, 28826])).
% 16.63/11.84 tff(28829,plain,
% 16.63/11.84 ((~(v194(constB26) <=> (~((~v157(constB26)) | (~v195(constB26)))))) | (~v194(constB26)) | (~((~v157(constB26)) | (~v195(constB26))))),
% 16.63/11.84 inference(tautology,[status(thm)],[])).
% 16.63/11.84 tff(28830,plain,
% 16.63/11.84 (~v194(constB26)),
% 16.63/11.84 inference(unit_resolution,[status(thm)],[28829, 28828, 28647])).
% 16.63/11.84 tff(28831,plain,
% 16.63/11.84 ((~(v194(constB26) | v198(constB26))) | v194(constB26) | v198(constB26)),
% 16.63/11.84 inference(tautology,[status(thm)],[])).
% 16.63/11.84 tff(28832,plain,
% 16.63/11.84 (~(v194(constB26) | v198(constB26))),
% 16.63/11.84 inference(unit_resolution,[status(thm)],[28831, 28830, 28640])).
% 16.63/11.84 tff(28833,plain,
% 16.63/11.84 ((~(v191(constB26) <=> (v194(constB26) | v198(constB26)))) | (~v191(constB26)) | (v194(constB26) | v198(constB26))),
% 16.63/11.84 inference(tautology,[status(thm)],[])).
% 16.63/11.84 tff(28834,plain,
% 16.63/11.84 (~v191(constB26)),
% 16.63/11.84 inference(unit_resolution,[status(thm)],[28833, 28832, 28615])).
% 16.63/11.84 tff(28835,plain,
% 16.63/11.84 ((~(v193(constB27) <=> v191(constB26))) | (~v193(constB27)) | v191(constB26)),
% 16.63/11.84 inference(tautology,[status(thm)],[])).
% 16.63/11.84 tff(28836,plain,
% 16.63/11.84 (~v193(constB27)),
% 16.63/11.84 inference(unit_resolution,[status(thm)],[28835, 28834, 28613])).
% 16.63/11.84 tff(28837,plain,
% 16.63/11.84 ($false),
% 16.63/11.84 inference(unit_resolution,[status(thm)],[28836, 28609])).
% 16.63/11.84 tff(28838,plain,(~(constB27 = VarCurr!0)), inference(lemma,lemma(discharge,[]))).
% 16.63/11.84 tff(28839,assumption,(constB187 = VarCurr!0), introduced(assumption)).
% 16.63/11.84 tff(28840,plain,
% 16.63/11.84 (v193(constB187) <=> v193(VarCurr!0)),
% 16.63/11.84 inference(monotonicity,[status(thm)],[28839])).
% 16.63/11.84 tff(28841,plain,
% 16.63/11.84 (v193(VarCurr!0) <=> v193(constB187)),
% 16.63/11.84 inference(symmetry,[status(thm)],[28840])).
% 16.63/11.84 tff(28842,plain,
% 16.63/11.84 (v193(constB187)),
% 16.63/11.84 inference(modus_ponens,[status(thm)],[59, 28841])).
% 16.63/11.84 tff(28843,plain,
% 16.63/11.84 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v193(VarNext) <=> v191(VarCurr)))) | ((~nextState(constB186, constB187)) | (v193(constB187) <=> v191(constB186)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v193(VarNext) <=> v191(VarCurr)))) | (~nextState(constB186, constB187)) | (v193(constB187) <=> v191(constB186)))),
% 16.63/11.84 inference(rewrite,[status(thm)],[])).
% 16.63/11.84 tff(28844,plain,
% 16.63/11.84 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v193(VarNext) <=> v191(VarCurr)))) | ((~nextState(constB186, constB187)) | (v193(constB187) <=> v191(constB186)))),
% 16.63/11.84 inference(quant_inst,[status(thm)],[])).
% 16.63/11.84 tff(28845,plain,
% 16.63/11.84 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v193(VarNext) <=> v191(VarCurr)))) | (~nextState(constB186, constB187)) | (v193(constB187) <=> v191(constB186))),
% 16.63/11.84 inference(modus_ponens,[status(thm)],[28844, 28843])).
% 16.63/11.84 tff(28846,plain,
% 16.63/11.84 (v193(constB187) <=> v191(constB186)),
% 16.63/11.84 inference(unit_resolution,[status(thm)],[28845, 24208, 70])).
% 16.63/11.84 tff(28847,plain,
% 16.63/11.84 ((~![VarCurr: $i] : (v191(VarCurr) <=> (v194(VarCurr) | v198(VarCurr)))) | (v191(constB186) <=> (v194(constB186) | v198(constB186)))),
% 16.63/11.84 inference(quant_inst,[status(thm)],[])).
% 16.63/11.84 tff(28848,plain,
% 16.63/11.84 (v191(constB186) <=> (v194(constB186) | v198(constB186))),
% 16.63/11.84 inference(unit_resolution,[status(thm)],[28847, 84])).
% 16.63/11.84 tff(28849,plain,
% 16.63/11.84 ((~![VarCurr: $i] : (v198(VarCurr) <=> (~((~v199(VarCurr)) | (~v200(VarCurr)))))) | (v198(constB186) <=> (~((~v199(constB186)) | (~v200(constB186)))))),
% 16.63/11.84 inference(quant_inst,[status(thm)],[])).
% 16.63/11.84 tff(28850,plain,
% 16.63/11.84 (v198(constB186) <=> (~((~v199(constB186)) | (~v200(constB186))))),
% 16.63/11.84 inference(unit_resolution,[status(thm)],[28849, 96])).
% 16.63/11.84 tff(28851,plain,
% 16.63/11.84 ((~![VarCurr: $i] : (v200(VarCurr) <=> (~((~v197(VarCurr)) | (~v201(VarCurr)))))) | (v200(constB186) <=> (~((~v197(constB186)) | (~v201(constB186)))))),
% 16.63/11.84 inference(quant_inst,[status(thm)],[])).
% 16.63/11.84 tff(28852,plain,
% 16.63/11.84 (v200(constB186) <=> (~((~v197(constB186)) | (~v201(constB186))))),
% 16.63/11.84 inference(unit_resolution,[status(thm)],[28851, 108])).
% 16.63/11.84 tff(28853,plain,
% 16.63/11.84 ((~![VarCurr: $i] : (v197(VarCurr) <=> (~((~v39(VarCurr)) | (~v9(VarCurr)))))) | (v197(constB186) <=> (~((~v39(constB186)) | (~v9(constB186)))))),
% 16.63/11.84 inference(quant_inst,[status(thm)],[])).
% 16.63/11.84 tff(28854,plain,
% 16.63/11.84 (v197(constB186) <=> (~((~v39(constB186)) | (~v9(constB186))))),
% 16.63/11.84 inference(unit_resolution,[status(thm)],[28853, 120])).
% 16.63/11.84 tff(28855,plain,
% 16.63/11.84 ((~![VarCurr: $i] : ((~v39(VarCurr)) <=> v1(VarCurr))) | ((~v39(constB186)) <=> v1(constB186))),
% 16.63/11.84 inference(quant_inst,[status(thm)],[])).
% 16.63/11.84 tff(28856,plain,
% 16.63/11.84 ((~v39(constB186)) <=> v1(constB186)),
% 16.63/11.84 inference(unit_resolution,[status(thm)],[28855, 129])).
% 16.63/11.84 tff(28857,plain,
% 16.63/11.84 ((~((~v39(constB186)) <=> v1(constB186))) | (~v39(constB186)) | (~v1(constB186))),
% 16.63/11.84 inference(tautology,[status(thm)],[])).
% 16.63/11.84 tff(28858,plain,
% 16.63/11.84 ((~((~v39(constB186)) <=> v1(constB186))) | (~v39(constB186))),
% 16.63/11.84 inference(unit_resolution,[status(thm)],[28857, 24270])).
% 16.63/11.84 tff(28859,plain,
% 16.63/11.84 (~v39(constB186)),
% 16.63/11.84 inference(unit_resolution,[status(thm)],[28858, 28856])).
% 16.63/11.84 tff(28860,plain,
% 16.63/11.84 (((~v39(constB186)) | (~v9(constB186))) | v39(constB186)),
% 16.63/11.84 inference(tautology,[status(thm)],[])).
% 16.63/11.84 tff(28861,plain,
% 16.63/11.84 ((~v39(constB186)) | (~v9(constB186))),
% 16.63/11.84 inference(unit_resolution,[status(thm)],[28860, 28859])).
% 16.63/11.84 tff(28862,plain,
% 16.63/11.84 ((~(v197(constB186) <=> (~((~v39(constB186)) | (~v9(constB186)))))) | (~v197(constB186)) | (~((~v39(constB186)) | (~v9(constB186))))),
% 16.63/11.84 inference(tautology,[status(thm)],[])).
% 16.63/11.84 tff(28863,plain,
% 16.63/11.84 ((~(v197(constB186) <=> (~((~v39(constB186)) | (~v9(constB186)))))) | (~v197(constB186))),
% 16.63/11.84 inference(unit_resolution,[status(thm)],[28862, 28861])).
% 16.63/11.84 tff(28864,plain,
% 16.63/11.84 (~v197(constB186)),
% 16.63/11.84 inference(unit_resolution,[status(thm)],[28863, 28854])).
% 16.63/11.84 tff(28865,plain,
% 16.63/11.84 (((~v197(constB186)) | (~v201(constB186))) | v197(constB186)),
% 16.63/11.84 inference(tautology,[status(thm)],[])).
% 16.63/11.84 tff(28866,plain,
% 16.63/11.84 ((~v197(constB186)) | (~v201(constB186))),
% 16.63/11.84 inference(unit_resolution,[status(thm)],[28865, 28864])).
% 16.63/11.84 tff(28867,plain,
% 16.63/11.84 ((~(v200(constB186) <=> (~((~v197(constB186)) | (~v201(constB186)))))) | (~v200(constB186)) | (~((~v197(constB186)) | (~v201(constB186))))),
% 16.63/11.84 inference(tautology,[status(thm)],[])).
% 16.63/11.84 tff(28868,plain,
% 16.63/11.84 ((~(v200(constB186) <=> (~((~v197(constB186)) | (~v201(constB186)))))) | (~v200(constB186))),
% 16.63/11.84 inference(unit_resolution,[status(thm)],[28867, 28866])).
% 16.63/11.84 tff(28869,plain,
% 16.63/11.84 (~v200(constB186)),
% 16.63/11.84 inference(unit_resolution,[status(thm)],[28868, 28852])).
% 16.63/11.84 tff(28870,plain,
% 16.63/11.84 (((~v199(constB186)) | (~v200(constB186))) | v200(constB186)),
% 16.63/11.84 inference(tautology,[status(thm)],[])).
% 16.63/11.84 tff(28871,plain,
% 16.63/11.84 ((~v199(constB186)) | (~v200(constB186))),
% 16.63/11.84 inference(unit_resolution,[status(thm)],[28870, 28869])).
% 16.63/11.84 tff(28872,plain,
% 16.63/11.84 ((~(v198(constB186) <=> (~((~v199(constB186)) | (~v200(constB186)))))) | (~v198(constB186)) | (~((~v199(constB186)) | (~v200(constB186))))),
% 16.63/11.84 inference(tautology,[status(thm)],[])).
% 16.63/11.84 tff(28873,plain,
% 16.63/11.84 (~v198(constB186)),
% 16.63/11.84 inference(unit_resolution,[status(thm)],[28872, 28871, 28850])).
% 16.63/11.84 tff(28874,plain,
% 16.63/11.84 (((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB186) <=> (~((~v157(constB186)) | (~v195(constB186)))))) <=> ((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB186) <=> (~((~v157(constB186)) | (~v195(constB186))))))),
% 16.63/11.84 inference(rewrite,[status(thm)],[])).
% 16.63/11.84 tff(28875,plain,
% 16.63/11.84 ((v194(constB186) <=> (~((~v195(constB186)) | (~v157(constB186))))) <=> (v194(constB186) <=> (~((~v157(constB186)) | (~v195(constB186)))))),
% 16.63/11.84 inference(rewrite,[status(thm)],[])).
% 16.63/11.84 tff(28876,plain,
% 16.63/11.84 (((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB186) <=> (~((~v195(constB186)) | (~v157(constB186)))))) <=> ((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB186) <=> (~((~v157(constB186)) | (~v195(constB186))))))),
% 16.63/11.84 inference(monotonicity,[status(thm)],[28875])).
% 16.63/11.84 tff(28877,plain,
% 16.63/11.84 (((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB186) <=> (~((~v195(constB186)) | (~v157(constB186)))))) <=> ((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB186) <=> (~((~v157(constB186)) | (~v195(constB186))))))),
% 16.63/11.84 inference(transitivity,[status(thm)],[28876, 28874])).
% 16.63/11.84 tff(28878,plain,
% 16.63/11.84 ((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB186) <=> (~((~v195(constB186)) | (~v157(constB186)))))),
% 16.63/11.84 inference(quant_inst,[status(thm)],[])).
% 16.63/11.84 tff(28879,plain,
% 16.63/11.84 ((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB186) <=> (~((~v157(constB186)) | (~v195(constB186)))))),
% 16.63/11.84 inference(modus_ponens,[status(thm)],[28878, 28877])).
% 16.63/11.84 tff(28880,plain,
% 16.63/11.84 (v194(constB186) <=> (~((~v157(constB186)) | (~v195(constB186))))),
% 16.63/11.84 inference(unit_resolution,[status(thm)],[28879, 161])).
% 16.63/11.84 tff(28881,plain,
% 16.63/11.84 ((~![VarNext: $i] : (v157(VarNext) <=> v193(VarNext))) | (v157(constB186) <=> v193(constB186))),
% 16.63/11.84 inference(quant_inst,[status(thm)],[])).
% 16.63/11.84 tff(28882,plain,
% 16.63/11.84 (v157(constB186) <=> v193(constB186)),
% 16.63/11.84 inference(unit_resolution,[status(thm)],[28881, 13])).
% 16.63/11.84 tff(28883,plain,
% 16.63/11.84 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v193(VarNext) <=> v191(VarCurr)))) | ((~nextState(constB185, constB186)) | (v193(constB186) <=> v191(constB185)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v193(VarNext) <=> v191(VarCurr)))) | (~nextState(constB185, constB186)) | (v193(constB186) <=> v191(constB185)))),
% 16.63/11.84 inference(rewrite,[status(thm)],[])).
% 16.63/11.84 tff(28884,plain,
% 16.63/11.84 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v193(VarNext) <=> v191(VarCurr)))) | ((~nextState(constB185, constB186)) | (v193(constB186) <=> v191(constB185)))),
% 16.63/11.84 inference(quant_inst,[status(thm)],[])).
% 16.63/11.84 tff(28885,plain,
% 16.63/11.84 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v193(VarNext) <=> v191(VarCurr)))) | (~nextState(constB185, constB186)) | (v193(constB186) <=> v191(constB185))),
% 16.63/11.84 inference(modus_ponens,[status(thm)],[28884, 28883])).
% 16.63/11.84 tff(28886,plain,
% 16.63/11.84 (v193(constB186) <=> v191(constB185)),
% 16.63/11.84 inference(unit_resolution,[status(thm)],[28885, 24240, 70])).
% 16.63/11.84 tff(28887,plain,
% 16.63/11.84 ((~![VarCurr: $i] : (v191(VarCurr) <=> (v194(VarCurr) | v198(VarCurr)))) | (v191(constB185) <=> (v194(constB185) | v198(constB185)))),
% 16.63/11.84 inference(quant_inst,[status(thm)],[])).
% 16.63/11.84 tff(28888,plain,
% 16.63/11.84 (v191(constB185) <=> (v194(constB185) | v198(constB185))),
% 16.63/11.84 inference(unit_resolution,[status(thm)],[28887, 84])).
% 16.63/11.84 tff(28889,plain,
% 16.63/11.84 (((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB185) <=> (~((~v157(constB185)) | (~v195(constB185)))))) <=> ((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB185) <=> (~((~v157(constB185)) | (~v195(constB185))))))),
% 16.63/11.84 inference(rewrite,[status(thm)],[])).
% 16.63/11.84 tff(28890,plain,
% 16.63/11.84 ((v194(constB185) <=> (~((~v195(constB185)) | (~v157(constB185))))) <=> (v194(constB185) <=> (~((~v157(constB185)) | (~v195(constB185)))))),
% 16.63/11.84 inference(rewrite,[status(thm)],[])).
% 16.63/11.84 tff(28891,plain,
% 16.63/11.84 (((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB185) <=> (~((~v195(constB185)) | (~v157(constB185)))))) <=> ((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB185) <=> (~((~v157(constB185)) | (~v195(constB185))))))),
% 16.63/11.84 inference(monotonicity,[status(thm)],[28890])).
% 16.63/11.84 tff(28892,plain,
% 16.63/11.85 (((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB185) <=> (~((~v195(constB185)) | (~v157(constB185)))))) <=> ((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB185) <=> (~((~v157(constB185)) | (~v195(constB185))))))),
% 16.63/11.85 inference(transitivity,[status(thm)],[28891, 28889])).
% 16.63/11.85 tff(28893,plain,
% 16.63/11.85 ((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB185) <=> (~((~v195(constB185)) | (~v157(constB185)))))),
% 16.63/11.85 inference(quant_inst,[status(thm)],[])).
% 16.63/11.85 tff(28894,plain,
% 16.63/11.85 ((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB185) <=> (~((~v157(constB185)) | (~v195(constB185)))))),
% 16.63/11.85 inference(modus_ponens,[status(thm)],[28893, 28892])).
% 16.63/11.85 tff(28895,plain,
% 16.63/11.85 (v194(constB185) <=> (~((~v157(constB185)) | (~v195(constB185))))),
% 16.63/11.85 inference(unit_resolution,[status(thm)],[28894, 161])).
% 16.63/11.85 tff(28896,plain,
% 16.63/11.85 ((~![VarCurr: $i] : ((~v195(VarCurr)) <=> v196(VarCurr))) | ((~v195(constB185)) <=> v196(constB185))),
% 16.63/11.85 inference(quant_inst,[status(thm)],[])).
% 16.63/11.85 tff(28897,plain,
% 16.63/11.85 ((~v195(constB185)) <=> v196(constB185)),
% 16.63/11.85 inference(unit_resolution,[status(thm)],[28896, 193])).
% 16.63/11.85 tff(28898,plain,
% 16.63/11.85 ((~![VarCurr: $i] : (v196(VarCurr) <=> (v197(VarCurr) | v26(VarCurr)))) | (v196(constB185) <=> (v197(constB185) | v26(constB185)))),
% 16.63/11.85 inference(quant_inst,[status(thm)],[])).
% 16.63/11.85 tff(28899,plain,
% 16.63/11.85 (v196(constB185) <=> (v197(constB185) | v26(constB185))),
% 16.63/11.85 inference(unit_resolution,[status(thm)],[28898, 202])).
% 16.63/11.85 tff(28900,plain,
% 16.63/11.85 ((~![VarCurr: $i] : (v197(VarCurr) <=> (~((~v39(VarCurr)) | (~v9(VarCurr)))))) | (v197(constB185) <=> (~((~v39(constB185)) | (~v9(constB185)))))),
% 16.63/11.85 inference(quant_inst,[status(thm)],[])).
% 16.63/11.85 tff(28901,plain,
% 16.63/11.85 (v197(constB185) <=> (~((~v39(constB185)) | (~v9(constB185))))),
% 16.63/11.85 inference(unit_resolution,[status(thm)],[28900, 120])).
% 16.63/11.85 tff(28902,plain,
% 16.63/11.85 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | ((~nextState(constB185, constB186)) | (v13(constB186) <=> v9(constB185)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | (~nextState(constB185, constB186)) | (v13(constB186) <=> v9(constB185)))),
% 16.63/11.85 inference(rewrite,[status(thm)],[])).
% 16.63/11.85 tff(28903,plain,
% 16.63/11.85 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | ((~nextState(constB185, constB186)) | (v13(constB186) <=> v9(constB185)))),
% 16.63/11.85 inference(quant_inst,[status(thm)],[])).
% 16.63/11.85 tff(28904,plain,
% 16.63/11.85 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | (~nextState(constB185, constB186)) | (v13(constB186) <=> v9(constB185))),
% 16.63/11.85 inference(modus_ponens,[status(thm)],[28903, 28902])).
% 16.63/11.85 tff(28905,plain,
% 16.63/11.85 (v13(constB186) <=> v9(constB185)),
% 16.63/11.85 inference(unit_resolution,[status(thm)],[28904, 24240, 216])).
% 16.63/11.85 tff(28906,plain,
% 16.63/11.85 ((~![VarNext: $i] : (v6(VarNext) <=> v13(VarNext))) | (v6(constB186) <=> v13(constB186))),
% 16.63/11.85 inference(quant_inst,[status(thm)],[])).
% 16.63/11.85 tff(28907,plain,
% 16.63/11.85 (v6(constB186) <=> v13(constB186)),
% 16.63/11.85 inference(unit_resolution,[status(thm)],[28906, 230])).
% 16.63/11.85 tff(28908,plain,
% 16.63/11.85 ((~![VarCurr: $i] : ((~v21(VarCurr)) <=> v6(VarCurr))) | ((~v21(constB186)) <=> v6(constB186))),
% 16.63/11.85 inference(quant_inst,[status(thm)],[])).
% 16.63/11.85 tff(28909,plain,
% 16.63/11.85 ((~v21(constB186)) <=> v6(constB186)),
% 16.63/11.85 inference(unit_resolution,[status(thm)],[28908, 239])).
% 16.63/11.85 tff(28910,plain,
% 16.63/11.85 ((~![VarCurr: $i] : (v19(VarCurr) <=> (v20(VarCurr) | v21(VarCurr)))) | (v19(constB186) <=> (v20(constB186) | v21(constB186)))),
% 16.63/11.85 inference(quant_inst,[status(thm)],[])).
% 16.63/11.85 tff(28911,plain,
% 16.63/11.85 (v19(constB186) <=> (v20(constB186) | v21(constB186))),
% 16.63/11.85 inference(unit_resolution,[status(thm)],[28910, 248])).
% 16.63/11.85 tff(28912,plain,
% 16.63/11.85 ((~![VarCurr: $i] : (v18(VarCurr) <=> (~((~v19(VarCurr)) | (~v22(VarCurr)))))) | (v18(constB186) <=> (~((~v19(constB186)) | (~v22(constB186)))))),
% 16.63/11.85 inference(quant_inst,[status(thm)],[])).
% 16.63/11.85 tff(28913,plain,
% 16.63/11.85 (v18(constB186) <=> (~((~v19(constB186)) | (~v22(constB186))))),
% 16.63/11.85 inference(unit_resolution,[status(thm)],[28912, 260])).
% 16.63/11.85 tff(28914,plain,
% 16.63/11.85 ((~![VarCurr: $i] : ((~v4(VarCurr)) <=> v18(VarCurr))) | ((~v4(constB186)) <=> v18(constB186))),
% 16.63/11.85 inference(quant_inst,[status(thm)],[])).
% 16.63/11.85 tff(28915,plain,
% 16.63/11.85 ((~v4(constB186)) <=> v18(constB186)),
% 16.63/11.85 inference(unit_resolution,[status(thm)],[28914, 269])).
% 16.63/11.85 tff(28916,plain,
% 16.63/11.85 ((~![VarCurr: $i] : v4(VarCurr)) | v4(constB186)),
% 16.63/11.85 inference(quant_inst,[status(thm)],[])).
% 16.63/11.85 tff(28917,plain,
% 16.63/11.85 (v4(constB186)),
% 16.63/11.85 inference(unit_resolution,[status(thm)],[28916, 278])).
% 16.63/11.85 tff(28918,plain,
% 16.63/11.85 ((~((~v4(constB186)) <=> v18(constB186))) | (~v4(constB186)) | (~v18(constB186))),
% 16.63/11.85 inference(tautology,[status(thm)],[])).
% 16.63/11.85 tff(28919,plain,
% 16.63/11.85 (~v18(constB186)),
% 16.63/11.85 inference(unit_resolution,[status(thm)],[28918, 28917, 28915])).
% 16.63/11.85 tff(28920,plain,
% 16.63/11.85 ((~(v18(constB186) <=> (~((~v19(constB186)) | (~v22(constB186)))))) | v18(constB186) | ((~v19(constB186)) | (~v22(constB186)))),
% 16.63/11.85 inference(tautology,[status(thm)],[])).
% 16.63/11.85 tff(28921,plain,
% 16.63/11.85 ((~v19(constB186)) | (~v22(constB186))),
% 16.63/11.85 inference(unit_resolution,[status(thm)],[28920, 28919, 28913])).
% 16.63/11.85 tff(28922,plain,
% 16.63/11.85 ((~![VarCurr: $i] : (v22(VarCurr) <=> (v1(VarCurr) | v6(VarCurr)))) | (v22(constB186) <=> (v1(constB186) | v6(constB186)))),
% 16.63/11.85 inference(quant_inst,[status(thm)],[])).
% 16.63/11.85 tff(28923,plain,
% 16.63/11.85 (v22(constB186) <=> (v1(constB186) | v6(constB186))),
% 16.63/11.85 inference(unit_resolution,[status(thm)],[28922, 291])).
% 16.63/11.85 tff(28924,plain,
% 16.63/11.85 ((v1(constB186) | v6(constB186)) | (~v1(constB186))),
% 16.63/11.85 inference(tautology,[status(thm)],[])).
% 16.63/11.85 tff(28925,plain,
% 16.63/11.85 (v1(constB186) | v6(constB186)),
% 16.63/11.85 inference(unit_resolution,[status(thm)],[28924, 24270])).
% 16.63/11.85 tff(28926,plain,
% 16.63/11.85 ((~(v22(constB186) <=> (v1(constB186) | v6(constB186)))) | v22(constB186) | (~(v1(constB186) | v6(constB186)))),
% 16.63/11.85 inference(tautology,[status(thm)],[])).
% 16.63/11.85 tff(28927,plain,
% 16.63/11.85 ((~(v22(constB186) <=> (v1(constB186) | v6(constB186)))) | v22(constB186)),
% 16.63/11.85 inference(unit_resolution,[status(thm)],[28926, 28925])).
% 16.63/11.85 tff(28928,plain,
% 16.63/11.85 (v22(constB186)),
% 16.63/11.85 inference(unit_resolution,[status(thm)],[28927, 28923])).
% 16.63/11.85 tff(28929,plain,
% 16.63/11.85 ((~((~v19(constB186)) | (~v22(constB186)))) | (~v19(constB186)) | (~v22(constB186))),
% 16.63/11.85 inference(tautology,[status(thm)],[])).
% 16.63/11.85 tff(28930,plain,
% 16.63/11.85 ((~((~v19(constB186)) | (~v22(constB186)))) | (~v19(constB186))),
% 16.63/11.85 inference(unit_resolution,[status(thm)],[28929, 28928])).
% 16.63/11.85 tff(28931,plain,
% 16.63/11.85 (~v19(constB186)),
% 16.63/11.85 inference(unit_resolution,[status(thm)],[28930, 28921])).
% 16.63/11.85 tff(28932,plain,
% 16.63/11.85 ((~(v19(constB186) <=> (v20(constB186) | v21(constB186)))) | v19(constB186) | (~(v20(constB186) | v21(constB186)))),
% 16.63/11.85 inference(tautology,[status(thm)],[])).
% 16.63/11.85 tff(28933,plain,
% 16.63/11.85 (~(v20(constB186) | v21(constB186))),
% 16.63/11.85 inference(unit_resolution,[status(thm)],[28932, 28931, 28911])).
% 16.63/11.85 tff(28934,plain,
% 16.63/11.85 ((v20(constB186) | v21(constB186)) | (~v21(constB186))),
% 16.63/11.85 inference(tautology,[status(thm)],[])).
% 16.63/11.85 tff(28935,plain,
% 16.63/11.85 (~v21(constB186)),
% 16.63/11.85 inference(unit_resolution,[status(thm)],[28934, 28933])).
% 16.63/11.85 tff(28936,plain,
% 16.63/11.85 ((~((~v21(constB186)) <=> v6(constB186))) | v21(constB186) | v6(constB186)),
% 16.63/11.85 inference(tautology,[status(thm)],[])).
% 16.63/11.85 tff(28937,plain,
% 16.63/11.85 (v6(constB186)),
% 16.63/11.85 inference(unit_resolution,[status(thm)],[28936, 28935, 28909])).
% 16.63/11.85 tff(28938,plain,
% 16.63/11.85 ((~(v6(constB186) <=> v13(constB186))) | (~v6(constB186)) | v13(constB186)),
% 16.63/11.85 inference(tautology,[status(thm)],[])).
% 16.63/11.85 tff(28939,plain,
% 16.63/11.85 (v13(constB186)),
% 16.63/11.85 inference(unit_resolution,[status(thm)],[28938, 28937, 28907])).
% 16.63/11.85 tff(28940,plain,
% 16.63/11.85 ((~(v13(constB186) <=> v9(constB185))) | (~v13(constB186)) | v9(constB185)),
% 16.63/11.85 inference(tautology,[status(thm)],[])).
% 16.63/11.85 tff(28941,plain,
% 16.63/11.85 (v9(constB185)),
% 16.63/11.85 inference(unit_resolution,[status(thm)],[28940, 28939, 28905])).
% 16.63/11.85 tff(28942,plain,
% 16.63/11.85 ((~![VarCurr: $i] : ((~v39(VarCurr)) <=> v1(VarCurr))) | ((~v39(constB185)) <=> v1(constB185))),
% 16.63/11.85 inference(quant_inst,[status(thm)],[])).
% 16.63/11.85 tff(28943,plain,
% 16.63/11.85 ((~v39(constB185)) <=> v1(constB185)),
% 16.63/11.85 inference(unit_resolution,[status(thm)],[28942, 129])).
% 16.63/11.85 tff(28944,plain,
% 16.63/11.85 ((~((~v39(constB185)) <=> v1(constB185))) | v39(constB185) | v1(constB185)),
% 16.63/11.85 inference(tautology,[status(thm)],[])).
% 16.63/11.85 tff(28945,plain,
% 16.63/11.85 ((~((~v39(constB185)) <=> v1(constB185))) | v39(constB185)),
% 16.63/11.85 inference(unit_resolution,[status(thm)],[28944, 24262])).
% 16.63/11.85 tff(28946,plain,
% 16.63/11.85 (v39(constB185)),
% 16.63/11.85 inference(unit_resolution,[status(thm)],[28945, 28943])).
% 16.63/11.85 tff(28947,plain,
% 16.63/11.85 ((~((~v39(constB185)) | (~v9(constB185)))) | (~v39(constB185)) | (~v9(constB185))),
% 16.63/11.85 inference(tautology,[status(thm)],[])).
% 16.63/11.85 tff(28948,plain,
% 16.63/11.85 ((~((~v39(constB185)) | (~v9(constB185)))) | (~v9(constB185))),
% 16.63/11.85 inference(unit_resolution,[status(thm)],[28947, 28946])).
% 16.63/11.85 tff(28949,plain,
% 16.63/11.85 (~((~v39(constB185)) | (~v9(constB185)))),
% 16.63/11.85 inference(unit_resolution,[status(thm)],[28948, 28941])).
% 16.63/11.85 tff(28950,plain,
% 16.63/11.85 ((~(v197(constB185) <=> (~((~v39(constB185)) | (~v9(constB185)))))) | v197(constB185) | ((~v39(constB185)) | (~v9(constB185)))),
% 16.63/11.85 inference(tautology,[status(thm)],[])).
% 16.63/11.85 tff(28951,plain,
% 16.63/11.85 (v197(constB185)),
% 16.63/11.85 inference(unit_resolution,[status(thm)],[28950, 28949, 28901])).
% 16.63/11.85 tff(28952,plain,
% 16.63/11.85 ((v197(constB185) | v26(constB185)) | (~v197(constB185))),
% 16.63/11.85 inference(tautology,[status(thm)],[])).
% 16.63/11.85 tff(28953,plain,
% 16.63/11.85 (v197(constB185) | v26(constB185)),
% 16.63/11.85 inference(unit_resolution,[status(thm)],[28952, 28951])).
% 16.63/11.85 tff(28954,plain,
% 16.63/11.85 ((~(v196(constB185) <=> (v197(constB185) | v26(constB185)))) | v196(constB185) | (~(v197(constB185) | v26(constB185)))),
% 16.63/11.85 inference(tautology,[status(thm)],[])).
% 16.63/11.85 tff(28955,plain,
% 16.63/11.85 (v196(constB185)),
% 16.63/11.85 inference(unit_resolution,[status(thm)],[28954, 28953, 28899])).
% 16.63/11.85 tff(28956,plain,
% 16.63/11.85 ((~((~v195(constB185)) <=> v196(constB185))) | (~v195(constB185)) | (~v196(constB185))),
% 16.63/11.85 inference(tautology,[status(thm)],[])).
% 16.63/11.85 tff(28957,plain,
% 16.63/11.85 (~v195(constB185)),
% 16.63/11.85 inference(unit_resolution,[status(thm)],[28956, 28955, 28897])).
% 16.63/11.85 tff(28958,plain,
% 16.63/11.85 (((~v157(constB185)) | (~v195(constB185))) | v195(constB185)),
% 16.63/11.85 inference(tautology,[status(thm)],[])).
% 16.63/11.85 tff(28959,plain,
% 16.63/11.85 ((~v157(constB185)) | (~v195(constB185))),
% 16.63/11.85 inference(unit_resolution,[status(thm)],[28958, 28957])).
% 16.63/11.85 tff(28960,plain,
% 16.63/11.85 ((~(v194(constB185) <=> (~((~v157(constB185)) | (~v195(constB185)))))) | (~v194(constB185)) | (~((~v157(constB185)) | (~v195(constB185))))),
% 16.63/11.85 inference(tautology,[status(thm)],[])).
% 16.63/11.85 tff(28961,plain,
% 16.63/11.85 (~v194(constB185)),
% 16.63/11.85 inference(unit_resolution,[status(thm)],[28960, 28959, 28895])).
% 16.63/11.85 tff(28962,plain,
% 16.63/11.85 ((~![VarCurr: $i] : (v198(VarCurr) <=> (~((~v199(VarCurr)) | (~v200(VarCurr)))))) | (v198(constB185) <=> (~((~v199(constB185)) | (~v200(constB185)))))),
% 16.63/11.85 inference(quant_inst,[status(thm)],[])).
% 16.63/11.85 tff(28963,plain,
% 16.63/11.85 (v198(constB185) <=> (~((~v199(constB185)) | (~v200(constB185))))),
% 16.63/11.85 inference(unit_resolution,[status(thm)],[28962, 96])).
% 16.63/11.85 tff(28964,plain,
% 16.63/11.85 ((~![VarCurr: $i] : (v200(VarCurr) <=> (~((~v197(VarCurr)) | (~v201(VarCurr)))))) | (v200(constB185) <=> (~((~v197(constB185)) | (~v201(constB185)))))),
% 16.63/11.85 inference(quant_inst,[status(thm)],[])).
% 16.63/11.85 tff(28965,plain,
% 16.63/11.85 (v200(constB185) <=> (~((~v197(constB185)) | (~v201(constB185))))),
% 16.63/11.85 inference(unit_resolution,[status(thm)],[28964, 108])).
% 16.63/11.85 tff(28966,plain,
% 16.63/11.85 ((~![VarCurr: $i] : (v201(VarCurr) <=> (~((~v159(VarCurr)) | (~v161(VarCurr)))))) | (v201(constB185) <=> (~((~v159(constB185)) | (~v161(constB185)))))),
% 16.63/11.85 inference(quant_inst,[status(thm)],[])).
% 16.63/11.85 tff(28967,plain,
% 16.63/11.85 (v201(constB185) <=> (~((~v159(constB185)) | (~v161(constB185))))),
% 16.63/11.85 inference(unit_resolution,[status(thm)],[28966, 348])).
% 16.63/11.85 tff(28968,plain,
% 16.63/11.85 ((~![VarCurr: $i] : (v161(VarCurr) <=> v163(VarCurr))) | (v161(constB185) <=> v163(constB185))),
% 16.63/11.85 inference(quant_inst,[status(thm)],[])).
% 16.63/11.85 tff(28969,plain,
% 16.63/11.85 (v161(constB185) <=> v163(constB185)),
% 16.63/11.85 inference(unit_resolution,[status(thm)],[28968, 357])).
% 16.63/11.85 tff(28970,plain,
% 16.63/11.85 ((~![VarCurr: $i] : (v171(VarCurr) <=> (v142(VarCurr) | v150(VarCurr)))) | (v171(constB185) <=> (v142(constB185) | v150(constB185)))),
% 16.63/11.85 inference(quant_inst,[status(thm)],[])).
% 16.63/11.85 tff(28971,plain,
% 16.63/11.85 (v171(constB185) <=> (v142(constB185) | v150(constB185))),
% 16.63/11.85 inference(unit_resolution,[status(thm)],[28970, 369])).
% 16.63/11.85 tff(28972,plain,
% 16.63/11.85 ((~![VarCurr: $i] : (v142(VarCurr) <=> (v143(VarCurr) | v144(VarCurr)))) | (v142(constB185) <=> (v143(constB185) | v144(constB185)))),
% 16.63/11.85 inference(quant_inst,[status(thm)],[])).
% 16.63/11.85 tff(28973,plain,
% 16.63/11.85 (v142(constB185) <=> (v143(constB185) | v144(constB185))),
% 16.63/11.85 inference(unit_resolution,[status(thm)],[28972, 378])).
% 16.63/11.85 tff(28974,plain,
% 16.63/11.85 (((~![VarCurr: $i] : (v144(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex2)))))) | (v144(constB185) <=> (~((~v88(constB185, bitIndex2)) | (~v88(constB185, bitIndex1)) | v88(constB185, bitIndex0))))) <=> ((~![VarCurr: $i] : (v144(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex2)))))) | (v144(constB185) <=> (~((~v88(constB185, bitIndex2)) | (~v88(constB185, bitIndex1)) | v88(constB185, bitIndex0)))))),
% 16.63/11.85 inference(rewrite,[status(thm)],[])).
% 16.63/11.85 tff(28975,plain,
% 16.63/11.85 ((v144(constB185) <=> (~(v88(constB185, bitIndex0) | (~v88(constB185, bitIndex1)) | (~v88(constB185, bitIndex2))))) <=> (v144(constB185) <=> (~((~v88(constB185, bitIndex2)) | (~v88(constB185, bitIndex1)) | v88(constB185, bitIndex0))))),
% 16.63/11.85 inference(rewrite,[status(thm)],[])).
% 16.63/11.85 tff(28976,plain,
% 16.63/11.85 (((~![VarCurr: $i] : (v144(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex2)))))) | (v144(constB185) <=> (~(v88(constB185, bitIndex0) | (~v88(constB185, bitIndex1)) | (~v88(constB185, bitIndex2)))))) <=> ((~![VarCurr: $i] : (v144(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex2)))))) | (v144(constB185) <=> (~((~v88(constB185, bitIndex2)) | (~v88(constB185, bitIndex1)) | v88(constB185, bitIndex0)))))),
% 16.63/11.85 inference(monotonicity,[status(thm)],[28975])).
% 16.63/11.85 tff(28977,plain,
% 16.63/11.85 (((~![VarCurr: $i] : (v144(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex2)))))) | (v144(constB185) <=> (~(v88(constB185, bitIndex0) | (~v88(constB185, bitIndex1)) | (~v88(constB185, bitIndex2)))))) <=> ((~![VarCurr: $i] : (v144(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex2)))))) | (v144(constB185) <=> (~((~v88(constB185, bitIndex2)) | (~v88(constB185, bitIndex1)) | v88(constB185, bitIndex0)))))),
% 16.63/11.85 inference(transitivity,[status(thm)],[28976, 28974])).
% 16.63/11.85 tff(28978,plain,
% 16.63/11.85 ((~![VarCurr: $i] : (v144(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex2)))))) | (v144(constB185) <=> (~(v88(constB185, bitIndex0) | (~v88(constB185, bitIndex1)) | (~v88(constB185, bitIndex2)))))),
% 16.63/11.85 inference(quant_inst,[status(thm)],[])).
% 16.63/11.85 tff(28979,plain,
% 16.63/11.85 ((~![VarCurr: $i] : (v144(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex2)))))) | (v144(constB185) <=> (~((~v88(constB185, bitIndex2)) | (~v88(constB185, bitIndex1)) | v88(constB185, bitIndex0))))),
% 16.63/11.85 inference(modus_ponens,[status(thm)],[28978, 28977])).
% 16.63/11.85 tff(28980,plain,
% 16.63/11.85 (v144(constB185) <=> (~((~v88(constB185, bitIndex2)) | (~v88(constB185, bitIndex1)) | v88(constB185, bitIndex0)))),
% 16.63/11.85 inference(unit_resolution,[status(thm)],[28979, 393])).
% 16.63/11.85 tff(28981,plain,
% 16.63/11.85 (((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | ((~less_3(bitIndex2)) | (v88(constB185, bitIndex2) <=> v90(constB185, bitIndex2)))) <=> ((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | (~less_3(bitIndex2)) | (v88(constB185, bitIndex2) <=> v90(constB185, bitIndex2)))),
% 16.63/11.85 inference(rewrite,[status(thm)],[])).
% 16.63/11.85 tff(28982,plain,
% 16.63/11.85 ((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | ((~less_3(bitIndex2)) | (v88(constB185, bitIndex2) <=> v90(constB185, bitIndex2)))),
% 16.63/11.85 inference(quant_inst,[status(thm)],[])).
% 16.63/11.85 tff(28983,plain,
% 16.63/11.85 ((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | (~less_3(bitIndex2)) | (v88(constB185, bitIndex2) <=> v90(constB185, bitIndex2))),
% 16.63/11.86 inference(modus_ponens,[status(thm)],[28982, 28981])).
% 16.63/11.86 tff(28984,plain,
% 16.63/11.86 (v88(constB185, bitIndex2) <=> v90(constB185, bitIndex2)),
% 16.63/11.86 inference(unit_resolution,[status(thm)],[28983, 413, 410])).
% 16.63/11.86 tff(28985,plain,
% 16.63/11.86 ((~(v88(constB185, bitIndex2) <=> v90(constB185, bitIndex2))) | v88(constB185, bitIndex2) | (~v90(constB185, bitIndex2))),
% 16.63/11.86 inference(tautology,[status(thm)],[])).
% 16.63/11.86 tff(28986,plain,
% 16.63/11.86 (v88(constB185, bitIndex2)),
% 16.63/11.86 inference(unit_resolution,[status(thm)],[28985, 26261, 28984])).
% 16.63/11.86 tff(28987,plain,
% 16.63/11.86 (((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | ((~less_3(bitIndex0)) | (v88(constB185, bitIndex0) <=> v90(constB185, bitIndex0)))) <=> ((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | (~less_3(bitIndex0)) | (v88(constB185, bitIndex0) <=> v90(constB185, bitIndex0)))),
% 16.63/11.86 inference(rewrite,[status(thm)],[])).
% 16.63/11.86 tff(28988,plain,
% 16.63/11.86 ((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | ((~less_3(bitIndex0)) | (v88(constB185, bitIndex0) <=> v90(constB185, bitIndex0)))),
% 16.63/11.86 inference(quant_inst,[status(thm)],[])).
% 16.63/11.86 tff(28989,plain,
% 16.63/11.86 ((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | (~less_3(bitIndex0)) | (v88(constB185, bitIndex0) <=> v90(constB185, bitIndex0))),
% 16.63/11.86 inference(modus_ponens,[status(thm)],[28988, 28987])).
% 16.63/11.86 tff(28990,plain,
% 16.63/11.86 (v88(constB185, bitIndex0) <=> v90(constB185, bitIndex0)),
% 16.63/11.86 inference(unit_resolution,[status(thm)],[28989, 5004, 410])).
% 16.63/11.86 tff(28991,plain,
% 16.63/11.86 ((~(v88(constB185, bitIndex0) <=> v90(constB185, bitIndex0))) | (~v88(constB185, bitIndex0)) | v90(constB185, bitIndex0)),
% 16.63/11.86 inference(tautology,[status(thm)],[])).
% 16.63/11.86 tff(28992,plain,
% 16.63/11.86 (~v88(constB185, bitIndex0)),
% 16.63/11.86 inference(unit_resolution,[status(thm)],[28991, 26292, 28990])).
% 16.63/11.86 tff(28993,plain,
% 16.63/11.86 (((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | ((~less_3(bitIndex1)) | (v88(constB185, bitIndex1) <=> v90(constB185, bitIndex1)))) <=> ((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | (~less_3(bitIndex1)) | (v88(constB185, bitIndex1) <=> v90(constB185, bitIndex1)))),
% 16.63/11.86 inference(rewrite,[status(thm)],[])).
% 16.63/11.86 tff(28994,plain,
% 16.63/11.86 ((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | ((~less_3(bitIndex1)) | (v88(constB185, bitIndex1) <=> v90(constB185, bitIndex1)))),
% 16.63/11.86 inference(quant_inst,[status(thm)],[])).
% 16.63/11.86 tff(28995,plain,
% 16.63/11.86 ((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | (~less_3(bitIndex1)) | (v88(constB185, bitIndex1) <=> v90(constB185, bitIndex1))),
% 16.63/11.86 inference(modus_ponens,[status(thm)],[28994, 28993])).
% 16.63/11.86 tff(28996,plain,
% 16.63/11.86 (v88(constB185, bitIndex1) <=> v90(constB185, bitIndex1)),
% 16.63/11.86 inference(unit_resolution,[status(thm)],[28995, 5017, 410])).
% 16.63/11.86 tff(28997,plain,
% 16.63/11.86 ((~(v88(constB185, bitIndex1) <=> v90(constB185, bitIndex1))) | v88(constB185, bitIndex1) | (~v90(constB185, bitIndex1))),
% 16.63/11.86 inference(tautology,[status(thm)],[])).
% 16.63/11.86 tff(28998,plain,
% 16.63/11.86 (v88(constB185, bitIndex1)),
% 16.63/11.86 inference(unit_resolution,[status(thm)],[28997, 26323, 28996])).
% 16.63/11.86 tff(28999,plain,
% 16.63/11.86 ((~((~v88(constB185, bitIndex2)) | (~v88(constB185, bitIndex1)) | v88(constB185, bitIndex0))) | (~v88(constB185, bitIndex2)) | (~v88(constB185, bitIndex1)) | v88(constB185, bitIndex0)),
% 16.63/11.86 inference(tautology,[status(thm)],[])).
% 16.63/11.86 tff(29000,plain,
% 16.63/11.86 (~((~v88(constB185, bitIndex2)) | (~v88(constB185, bitIndex1)) | v88(constB185, bitIndex0))),
% 16.63/11.86 inference(unit_resolution,[status(thm)],[28999, 28998, 28992, 28986])).
% 16.63/11.86 tff(29001,plain,
% 16.63/11.86 ((~(v144(constB185) <=> (~((~v88(constB185, bitIndex2)) | (~v88(constB185, bitIndex1)) | v88(constB185, bitIndex0))))) | v144(constB185) | ((~v88(constB185, bitIndex2)) | (~v88(constB185, bitIndex1)) | v88(constB185, bitIndex0))),
% 16.63/11.86 inference(tautology,[status(thm)],[])).
% 16.63/11.86 tff(29002,plain,
% 16.63/11.86 (v144(constB185)),
% 16.63/11.86 inference(unit_resolution,[status(thm)],[29001, 29000, 28980])).
% 16.63/11.86 tff(29003,plain,
% 16.63/11.86 ((v143(constB185) | v144(constB185)) | (~v144(constB185))),
% 16.63/11.86 inference(tautology,[status(thm)],[])).
% 16.63/11.86 tff(29004,plain,
% 16.63/11.86 (v143(constB185) | v144(constB185)),
% 16.63/11.86 inference(unit_resolution,[status(thm)],[29003, 29002])).
% 16.63/11.86 tff(29005,plain,
% 16.63/11.86 ((~(v142(constB185) <=> (v143(constB185) | v144(constB185)))) | v142(constB185) | (~(v143(constB185) | v144(constB185)))),
% 16.63/11.86 inference(tautology,[status(thm)],[])).
% 16.63/11.86 tff(29006,plain,
% 16.63/11.86 (v142(constB185)),
% 16.63/11.86 inference(unit_resolution,[status(thm)],[29005, 29004, 28973])).
% 16.63/11.86 tff(29007,plain,
% 16.63/11.86 ((v142(constB185) | v150(constB185)) | (~v142(constB185))),
% 16.63/11.86 inference(tautology,[status(thm)],[])).
% 16.63/11.86 tff(29008,plain,
% 16.63/11.86 (v142(constB185) | v150(constB185)),
% 16.63/11.86 inference(unit_resolution,[status(thm)],[29007, 29006])).
% 16.63/11.86 tff(29009,plain,
% 16.63/11.86 ((~(v171(constB185) <=> (v142(constB185) | v150(constB185)))) | v171(constB185) | (~(v142(constB185) | v150(constB185)))),
% 16.63/11.86 inference(tautology,[status(thm)],[])).
% 16.63/11.86 tff(29010,plain,
% 16.63/11.86 (v171(constB185)),
% 16.63/11.86 inference(unit_resolution,[status(thm)],[29009, 29008, 28971])).
% 16.63/11.86 tff(29011,plain,
% 16.63/11.86 (((~![VarCurr: $i] : ((~v171(VarCurr)) | (~v170(VarCurr)))) | ((~v170(constB185)) | (~v171(constB185)))) <=> ((~![VarCurr: $i] : ((~v171(VarCurr)) | (~v170(VarCurr)))) | (~v170(constB185)) | (~v171(constB185)))),
% 16.63/11.86 inference(rewrite,[status(thm)],[])).
% 16.63/11.86 tff(29012,plain,
% 16.63/11.86 (((~v171(constB185)) | (~v170(constB185))) <=> ((~v170(constB185)) | (~v171(constB185)))),
% 16.63/11.86 inference(rewrite,[status(thm)],[])).
% 16.63/11.86 tff(29013,plain,
% 16.63/11.86 (((~![VarCurr: $i] : ((~v171(VarCurr)) | (~v170(VarCurr)))) | ((~v171(constB185)) | (~v170(constB185)))) <=> ((~![VarCurr: $i] : ((~v171(VarCurr)) | (~v170(VarCurr)))) | ((~v170(constB185)) | (~v171(constB185))))),
% 16.63/11.86 inference(monotonicity,[status(thm)],[29012])).
% 16.63/11.86 tff(29014,plain,
% 16.63/11.86 (((~![VarCurr: $i] : ((~v171(VarCurr)) | (~v170(VarCurr)))) | ((~v171(constB185)) | (~v170(constB185)))) <=> ((~![VarCurr: $i] : ((~v171(VarCurr)) | (~v170(VarCurr)))) | (~v170(constB185)) | (~v171(constB185)))),
% 16.63/11.86 inference(transitivity,[status(thm)],[29013, 29011])).
% 16.63/11.86 tff(29015,plain,
% 16.63/11.86 ((~![VarCurr: $i] : ((~v171(VarCurr)) | (~v170(VarCurr)))) | ((~v171(constB185)) | (~v170(constB185)))),
% 16.63/11.86 inference(quant_inst,[status(thm)],[])).
% 16.63/11.86 tff(29016,plain,
% 16.63/11.86 ((~![VarCurr: $i] : ((~v171(VarCurr)) | (~v170(VarCurr)))) | (~v170(constB185)) | (~v171(constB185))),
% 16.63/11.86 inference(modus_ponens,[status(thm)],[29015, 29014])).
% 16.63/11.86 tff(29017,plain,
% 16.63/11.86 ((~v170(constB185)) | (~v171(constB185))),
% 16.63/11.86 inference(unit_resolution,[status(thm)],[29016, 13061])).
% 16.63/11.86 tff(29018,plain,
% 16.63/11.86 (~v170(constB185)),
% 16.63/11.86 inference(unit_resolution,[status(thm)],[29017, 29010])).
% 16.63/11.86 tff(29019,plain,
% 16.63/11.86 ((~![VarCurr: $i] : (v166(VarCurr) <=> (v145(VarCurr) | v167(VarCurr)))) | (v166(constB185) <=> (v145(constB185) | v167(constB185)))),
% 16.63/11.86 inference(quant_inst,[status(thm)],[])).
% 16.63/11.86 tff(29020,plain,
% 16.63/11.86 (v166(constB185) <=> (v145(constB185) | v167(constB185))),
% 16.63/11.86 inference(unit_resolution,[status(thm)],[29019, 13079])).
% 16.63/11.86 tff(29021,plain,
% 16.63/11.86 ((~![VarCurr: $i] : (v167(VarCurr) <=> (v142(VarCurr) | v168(VarCurr)))) | (v167(constB185) <=> (v142(constB185) | v168(constB185)))),
% 16.63/11.86 inference(quant_inst,[status(thm)],[])).
% 16.63/11.86 tff(29022,plain,
% 16.63/11.86 (v167(constB185) <=> (v142(constB185) | v168(constB185))),
% 16.63/11.86 inference(unit_resolution,[status(thm)],[29021, 13091])).
% 16.63/11.86 tff(29023,plain,
% 16.63/11.86 ((v142(constB185) | v168(constB185)) | (~v142(constB185))),
% 16.63/11.86 inference(tautology,[status(thm)],[])).
% 16.63/11.86 tff(29024,plain,
% 16.63/11.86 (v142(constB185) | v168(constB185)),
% 16.63/11.86 inference(unit_resolution,[status(thm)],[29023, 29006])).
% 16.63/11.86 tff(29025,plain,
% 16.63/11.86 ((~(v167(constB185) <=> (v142(constB185) | v168(constB185)))) | v167(constB185) | (~(v142(constB185) | v168(constB185)))),
% 16.63/11.86 inference(tautology,[status(thm)],[])).
% 16.63/11.86 tff(29026,plain,
% 16.63/11.86 (v167(constB185)),
% 16.63/11.86 inference(unit_resolution,[status(thm)],[29025, 29024, 29022])).
% 16.63/11.86 tff(29027,plain,
% 16.63/11.86 ((v145(constB185) | v167(constB185)) | (~v167(constB185))),
% 16.63/11.86 inference(tautology,[status(thm)],[])).
% 16.63/11.86 tff(29028,plain,
% 16.63/11.86 (v145(constB185) | v167(constB185)),
% 16.63/11.86 inference(unit_resolution,[status(thm)],[29027, 29026])).
% 16.63/11.86 tff(29029,plain,
% 16.63/11.86 ((~(v166(constB185) <=> (v145(constB185) | v167(constB185)))) | v166(constB185) | (~(v145(constB185) | v167(constB185)))),
% 16.63/11.86 inference(tautology,[status(thm)],[])).
% 16.63/11.86 tff(29030,plain,
% 16.63/11.86 (v166(constB185)),
% 16.63/11.86 inference(unit_resolution,[status(thm)],[29029, 29028, 29020])).
% 16.63/11.86 tff(29031,plain,
% 16.63/11.86 (((~![VarNext: $i] : ((~v166(VarNext)) | (v163(VarNext) <=> v170(VarNext)))) | ((~v166(constB185)) | (v163(constB185) <=> v170(constB185)))) <=> ((~![VarNext: $i] : ((~v166(VarNext)) | (v163(VarNext) <=> v170(VarNext)))) | (~v166(constB185)) | (v163(constB185) <=> v170(constB185)))),
% 16.63/11.86 inference(rewrite,[status(thm)],[])).
% 16.63/11.86 tff(29032,plain,
% 16.63/11.86 ((~![VarNext: $i] : ((~v166(VarNext)) | (v163(VarNext) <=> v170(VarNext)))) | ((~v166(constB185)) | (v163(constB185) <=> v170(constB185)))),
% 16.63/11.86 inference(quant_inst,[status(thm)],[])).
% 16.63/11.86 tff(29033,plain,
% 16.63/11.86 ((~![VarNext: $i] : ((~v166(VarNext)) | (v163(VarNext) <=> v170(VarNext)))) | (~v166(constB185)) | (v163(constB185) <=> v170(constB185))),
% 16.63/11.86 inference(modus_ponens,[status(thm)],[29032, 29031])).
% 16.63/11.86 tff(29034,plain,
% 16.63/11.86 ((~v166(constB185)) | (v163(constB185) <=> v170(constB185))),
% 16.63/11.86 inference(unit_resolution,[status(thm)],[29033, 13111])).
% 16.63/11.86 tff(29035,plain,
% 16.63/11.86 (v163(constB185) <=> v170(constB185)),
% 16.63/11.86 inference(unit_resolution,[status(thm)],[29034, 29030])).
% 16.63/11.86 tff(29036,plain,
% 16.63/11.86 ((~(v163(constB185) <=> v170(constB185))) | (~v163(constB185)) | v170(constB185)),
% 16.63/11.86 inference(tautology,[status(thm)],[])).
% 16.63/11.86 tff(29037,plain,
% 16.63/11.86 (~v163(constB185)),
% 16.63/11.86 inference(unit_resolution,[status(thm)],[29036, 29035, 29018])).
% 16.63/11.86 tff(29038,plain,
% 16.63/11.86 ((~(v161(constB185) <=> v163(constB185))) | (~v161(constB185)) | v163(constB185)),
% 16.63/11.86 inference(tautology,[status(thm)],[])).
% 16.63/11.86 tff(29039,plain,
% 16.63/11.86 (~v161(constB185)),
% 16.63/11.86 inference(unit_resolution,[status(thm)],[29038, 29037, 28969])).
% 16.63/11.86 tff(29040,plain,
% 16.63/11.86 (((~v159(constB185)) | (~v161(constB185))) | v161(constB185)),
% 16.63/11.86 inference(tautology,[status(thm)],[])).
% 16.63/11.86 tff(29041,plain,
% 16.63/11.86 ((~v159(constB185)) | (~v161(constB185))),
% 16.63/11.86 inference(unit_resolution,[status(thm)],[29040, 29039])).
% 16.63/11.86 tff(29042,plain,
% 16.63/11.86 ((~(v201(constB185) <=> (~((~v159(constB185)) | (~v161(constB185)))))) | (~v201(constB185)) | (~((~v159(constB185)) | (~v161(constB185))))),
% 16.63/11.86 inference(tautology,[status(thm)],[])).
% 16.63/11.86 tff(29043,plain,
% 16.63/11.86 (~v201(constB185)),
% 16.63/11.86 inference(unit_resolution,[status(thm)],[29042, 29041, 28967])).
% 16.63/11.86 tff(29044,plain,
% 16.63/11.86 (((~v197(constB185)) | (~v201(constB185))) | v201(constB185)),
% 16.63/11.86 inference(tautology,[status(thm)],[])).
% 16.63/11.86 tff(29045,plain,
% 16.63/11.86 ((~v197(constB185)) | (~v201(constB185))),
% 16.63/11.86 inference(unit_resolution,[status(thm)],[29044, 29043])).
% 16.63/11.86 tff(29046,plain,
% 16.63/11.86 ((~(v200(constB185) <=> (~((~v197(constB185)) | (~v201(constB185)))))) | (~v200(constB185)) | (~((~v197(constB185)) | (~v201(constB185))))),
% 16.63/11.86 inference(tautology,[status(thm)],[])).
% 16.63/11.86 tff(29047,plain,
% 16.63/11.86 (~v200(constB185)),
% 16.63/11.86 inference(unit_resolution,[status(thm)],[29046, 29045, 28965])).
% 16.63/11.86 tff(29048,plain,
% 16.63/11.86 (((~v199(constB185)) | (~v200(constB185))) | v200(constB185)),
% 16.63/11.86 inference(tautology,[status(thm)],[])).
% 16.63/11.86 tff(29049,plain,
% 16.63/11.86 ((~v199(constB185)) | (~v200(constB185))),
% 16.63/11.86 inference(unit_resolution,[status(thm)],[29048, 29047])).
% 16.63/11.86 tff(29050,plain,
% 16.63/11.86 ((~(v198(constB185) <=> (~((~v199(constB185)) | (~v200(constB185)))))) | (~v198(constB185)) | (~((~v199(constB185)) | (~v200(constB185))))),
% 16.63/11.86 inference(tautology,[status(thm)],[])).
% 16.63/11.86 tff(29051,plain,
% 16.63/11.86 (~v198(constB185)),
% 16.63/11.86 inference(unit_resolution,[status(thm)],[29050, 29049, 28963])).
% 16.63/11.86 tff(29052,plain,
% 16.63/11.86 ((~(v194(constB185) | v198(constB185))) | v194(constB185) | v198(constB185)),
% 16.63/11.86 inference(tautology,[status(thm)],[])).
% 16.63/11.86 tff(29053,plain,
% 16.63/11.86 (~(v194(constB185) | v198(constB185))),
% 16.63/11.86 inference(unit_resolution,[status(thm)],[29052, 29051, 28961])).
% 16.63/11.86 tff(29054,plain,
% 16.63/11.86 ((~(v191(constB185) <=> (v194(constB185) | v198(constB185)))) | (~v191(constB185)) | (v194(constB185) | v198(constB185))),
% 16.63/11.86 inference(tautology,[status(thm)],[])).
% 16.63/11.86 tff(29055,plain,
% 16.63/11.86 (~v191(constB185)),
% 16.63/11.86 inference(unit_resolution,[status(thm)],[29054, 29053, 28888])).
% 16.63/11.86 tff(29056,plain,
% 16.63/11.86 ((~(v193(constB186) <=> v191(constB185))) | (~v193(constB186)) | v191(constB185)),
% 16.63/11.86 inference(tautology,[status(thm)],[])).
% 16.63/11.86 tff(29057,plain,
% 16.63/11.86 (~v193(constB186)),
% 16.63/11.86 inference(unit_resolution,[status(thm)],[29056, 29055, 28886])).
% 16.63/11.86 tff(29058,plain,
% 16.63/11.86 ((~(v157(constB186) <=> v193(constB186))) | (~v157(constB186)) | v193(constB186)),
% 16.63/11.86 inference(tautology,[status(thm)],[])).
% 16.63/11.86 tff(29059,plain,
% 16.63/11.86 (~v157(constB186)),
% 16.63/11.86 inference(unit_resolution,[status(thm)],[29058, 29057, 28882])).
% 16.63/11.86 tff(29060,plain,
% 16.63/11.86 (((~v157(constB186)) | (~v195(constB186))) | v157(constB186)),
% 16.63/11.86 inference(tautology,[status(thm)],[])).
% 16.63/11.86 tff(29061,plain,
% 16.63/11.86 ((~v157(constB186)) | (~v195(constB186))),
% 16.63/11.86 inference(unit_resolution,[status(thm)],[29060, 29059])).
% 16.63/11.86 tff(29062,plain,
% 16.63/11.86 ((~(v194(constB186) <=> (~((~v157(constB186)) | (~v195(constB186)))))) | (~v194(constB186)) | (~((~v157(constB186)) | (~v195(constB186))))),
% 16.63/11.86 inference(tautology,[status(thm)],[])).
% 16.63/11.86 tff(29063,plain,
% 16.63/11.86 (~v194(constB186)),
% 16.63/11.86 inference(unit_resolution,[status(thm)],[29062, 29061, 28880])).
% 16.63/11.86 tff(29064,plain,
% 16.63/11.86 ((~(v194(constB186) | v198(constB186))) | v194(constB186) | v198(constB186)),
% 16.63/11.86 inference(tautology,[status(thm)],[])).
% 16.63/11.86 tff(29065,plain,
% 16.63/11.86 (~(v194(constB186) | v198(constB186))),
% 16.63/11.86 inference(unit_resolution,[status(thm)],[29064, 29063, 28873])).
% 16.63/11.86 tff(29066,plain,
% 16.63/11.86 ((~(v191(constB186) <=> (v194(constB186) | v198(constB186)))) | (~v191(constB186)) | (v194(constB186) | v198(constB186))),
% 16.63/11.86 inference(tautology,[status(thm)],[])).
% 16.63/11.86 tff(29067,plain,
% 16.63/11.86 (~v191(constB186)),
% 16.63/11.86 inference(unit_resolution,[status(thm)],[29066, 29065, 28848])).
% 16.63/11.86 tff(29068,plain,
% 16.63/11.86 ((~(v193(constB187) <=> v191(constB186))) | (~v193(constB187)) | v191(constB186)),
% 16.63/11.86 inference(tautology,[status(thm)],[])).
% 16.63/11.86 tff(29069,plain,
% 16.63/11.86 (~v193(constB187)),
% 16.63/11.86 inference(unit_resolution,[status(thm)],[29068, 29067, 28846])).
% 16.63/11.86 tff(29070,plain,
% 16.63/11.86 ($false),
% 16.63/11.86 inference(unit_resolution,[status(thm)],[29069, 28842])).
% 16.63/11.86 tff(29071,plain,(~(constB187 = VarCurr!0)), inference(lemma,lemma(discharge,[]))).
% 16.63/11.86 tff(29072,assumption,(constB11 = VarCurr!0), introduced(assumption)).
% 16.63/11.86 tff(29073,plain,
% 16.63/11.86 (v193(constB11) <=> v193(VarCurr!0)),
% 16.63/11.86 inference(monotonicity,[status(thm)],[29072])).
% 16.63/11.86 tff(29074,plain,
% 16.63/11.86 (v193(VarCurr!0) <=> v193(constB11)),
% 16.63/11.86 inference(symmetry,[status(thm)],[29073])).
% 16.63/11.86 tff(29075,plain,
% 16.63/11.86 (v193(constB11)),
% 16.63/11.86 inference(modus_ponens,[status(thm)],[59, 29074])).
% 16.63/11.86 tff(29076,plain,
% 16.63/11.86 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v193(VarNext) <=> v191(VarCurr)))) | ((~nextState(constB10, constB11)) | (v193(constB11) <=> v191(constB10)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v193(VarNext) <=> v191(VarCurr)))) | (~nextState(constB10, constB11)) | (v193(constB11) <=> v191(constB10)))),
% 16.63/11.86 inference(rewrite,[status(thm)],[])).
% 16.63/11.86 tff(29077,plain,
% 16.63/11.86 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v193(VarNext) <=> v191(VarCurr)))) | ((~nextState(constB10, constB11)) | (v193(constB11) <=> v191(constB10)))),
% 16.63/11.86 inference(quant_inst,[status(thm)],[])).
% 16.63/11.86 tff(29078,plain,
% 16.63/11.86 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v193(VarNext) <=> v191(VarCurr)))) | (~nextState(constB10, constB11)) | (v193(constB11) <=> v191(constB10))),
% 16.63/11.86 inference(modus_ponens,[status(thm)],[29077, 29076])).
% 16.63/11.86 tff(29079,plain,
% 16.63/11.86 (v193(constB11) <=> v191(constB10)),
% 16.63/11.86 inference(unit_resolution,[status(thm)],[29078, 4501, 70])).
% 16.63/11.86 tff(29080,plain,
% 16.63/11.86 ((~![VarCurr: $i] : (v191(VarCurr) <=> (v194(VarCurr) | v198(VarCurr)))) | (v191(constB10) <=> (v194(constB10) | v198(constB10)))),
% 16.63/11.86 inference(quant_inst,[status(thm)],[])).
% 16.63/11.86 tff(29081,plain,
% 16.63/11.86 (v191(constB10) <=> (v194(constB10) | v198(constB10))),
% 16.63/11.86 inference(unit_resolution,[status(thm)],[29080, 84])).
% 16.63/11.86 tff(29082,plain,
% 16.63/11.86 ((~![VarCurr: $i] : (v198(VarCurr) <=> (~((~v199(VarCurr)) | (~v200(VarCurr)))))) | (v198(constB10) <=> (~((~v199(constB10)) | (~v200(constB10)))))),
% 16.63/11.86 inference(quant_inst,[status(thm)],[])).
% 16.63/11.86 tff(29083,plain,
% 16.63/11.86 (v198(constB10) <=> (~((~v199(constB10)) | (~v200(constB10))))),
% 16.63/11.86 inference(unit_resolution,[status(thm)],[29082, 96])).
% 16.63/11.86 tff(29084,plain,
% 16.63/11.86 ((~![VarCurr: $i] : (v200(VarCurr) <=> (~((~v197(VarCurr)) | (~v201(VarCurr)))))) | (v200(constB10) <=> (~((~v197(constB10)) | (~v201(constB10)))))),
% 16.63/11.86 inference(quant_inst,[status(thm)],[])).
% 16.63/11.86 tff(29085,plain,
% 16.63/11.86 (v200(constB10) <=> (~((~v197(constB10)) | (~v201(constB10))))),
% 16.63/11.86 inference(unit_resolution,[status(thm)],[29084, 108])).
% 16.63/11.86 tff(29086,plain,
% 16.63/11.86 ((~![VarCurr: $i] : (v197(VarCurr) <=> (~((~v39(VarCurr)) | (~v9(VarCurr)))))) | (v197(constB10) <=> (~((~v39(constB10)) | (~v9(constB10)))))),
% 16.63/11.86 inference(quant_inst,[status(thm)],[])).
% 16.63/11.86 tff(29087,plain,
% 16.63/11.86 (v197(constB10) <=> (~((~v39(constB10)) | (~v9(constB10))))),
% 16.63/11.86 inference(unit_resolution,[status(thm)],[29086, 120])).
% 16.63/11.86 tff(29088,plain,
% 16.63/11.86 ((~![VarCurr: $i] : ((~v39(VarCurr)) <=> v1(VarCurr))) | ((~v39(constB10)) <=> v1(constB10))),
% 16.63/11.86 inference(quant_inst,[status(thm)],[])).
% 16.63/11.86 tff(29089,plain,
% 16.63/11.86 ((~v39(constB10)) <=> v1(constB10)),
% 16.63/11.86 inference(unit_resolution,[status(thm)],[29088, 129])).
% 16.63/11.86 tff(29090,plain,
% 16.63/11.86 ((~((~v39(constB10)) <=> v1(constB10))) | (~v39(constB10)) | (~v1(constB10))),
% 16.63/11.86 inference(tautology,[status(thm)],[])).
% 16.63/11.86 tff(29091,plain,
% 16.63/11.86 ((~((~v39(constB10)) <=> v1(constB10))) | (~v39(constB10))),
% 16.63/11.86 inference(unit_resolution,[status(thm)],[29090, 4563])).
% 16.63/11.86 tff(29092,plain,
% 16.63/11.86 (~v39(constB10)),
% 16.63/11.86 inference(unit_resolution,[status(thm)],[29091, 29089])).
% 16.63/11.86 tff(29093,plain,
% 16.63/11.86 (((~v39(constB10)) | (~v9(constB10))) | v39(constB10)),
% 16.63/11.86 inference(tautology,[status(thm)],[])).
% 16.63/11.86 tff(29094,plain,
% 16.63/11.86 ((~v39(constB10)) | (~v9(constB10))),
% 16.63/11.86 inference(unit_resolution,[status(thm)],[29093, 29092])).
% 16.63/11.86 tff(29095,plain,
% 16.63/11.86 ((~(v197(constB10) <=> (~((~v39(constB10)) | (~v9(constB10)))))) | (~v197(constB10)) | (~((~v39(constB10)) | (~v9(constB10))))),
% 16.63/11.86 inference(tautology,[status(thm)],[])).
% 16.63/11.86 tff(29096,plain,
% 16.63/11.86 ((~(v197(constB10) <=> (~((~v39(constB10)) | (~v9(constB10)))))) | (~v197(constB10))),
% 16.63/11.86 inference(unit_resolution,[status(thm)],[29095, 29094])).
% 16.63/11.86 tff(29097,plain,
% 16.63/11.86 (~v197(constB10)),
% 16.63/11.86 inference(unit_resolution,[status(thm)],[29096, 29087])).
% 16.63/11.86 tff(29098,plain,
% 16.63/11.86 (((~v197(constB10)) | (~v201(constB10))) | v197(constB10)),
% 16.63/11.86 inference(tautology,[status(thm)],[])).
% 16.63/11.86 tff(29099,plain,
% 16.63/11.86 ((~v197(constB10)) | (~v201(constB10))),
% 16.63/11.86 inference(unit_resolution,[status(thm)],[29098, 29097])).
% 16.63/11.86 tff(29100,plain,
% 16.63/11.86 ((~(v200(constB10) <=> (~((~v197(constB10)) | (~v201(constB10)))))) | (~v200(constB10)) | (~((~v197(constB10)) | (~v201(constB10))))),
% 16.63/11.86 inference(tautology,[status(thm)],[])).
% 16.63/11.86 tff(29101,plain,
% 16.63/11.86 ((~(v200(constB10) <=> (~((~v197(constB10)) | (~v201(constB10)))))) | (~v200(constB10))),
% 16.63/11.86 inference(unit_resolution,[status(thm)],[29100, 29099])).
% 16.63/11.86 tff(29102,plain,
% 16.63/11.86 (~v200(constB10)),
% 16.63/11.86 inference(unit_resolution,[status(thm)],[29101, 29085])).
% 16.63/11.86 tff(29103,plain,
% 16.63/11.86 (((~v199(constB10)) | (~v200(constB10))) | v200(constB10)),
% 16.63/11.86 inference(tautology,[status(thm)],[])).
% 16.63/11.86 tff(29104,plain,
% 16.63/11.86 ((~v199(constB10)) | (~v200(constB10))),
% 16.63/11.86 inference(unit_resolution,[status(thm)],[29103, 29102])).
% 16.63/11.86 tff(29105,plain,
% 16.63/11.86 ((~(v198(constB10) <=> (~((~v199(constB10)) | (~v200(constB10)))))) | (~v198(constB10)) | (~((~v199(constB10)) | (~v200(constB10))))),
% 16.63/11.86 inference(tautology,[status(thm)],[])).
% 16.63/11.86 tff(29106,plain,
% 16.63/11.86 (~v198(constB10)),
% 16.63/11.86 inference(unit_resolution,[status(thm)],[29105, 29104, 29083])).
% 16.63/11.86 tff(29107,plain,
% 16.63/11.86 (((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB10) <=> (~((~v157(constB10)) | (~v195(constB10)))))) <=> ((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB10) <=> (~((~v157(constB10)) | (~v195(constB10))))))),
% 16.63/11.86 inference(rewrite,[status(thm)],[])).
% 16.63/11.86 tff(29108,plain,
% 16.63/11.86 ((v194(constB10) <=> (~((~v195(constB10)) | (~v157(constB10))))) <=> (v194(constB10) <=> (~((~v157(constB10)) | (~v195(constB10)))))),
% 16.63/11.87 inference(rewrite,[status(thm)],[])).
% 16.63/11.87 tff(29109,plain,
% 16.63/11.87 (((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB10) <=> (~((~v195(constB10)) | (~v157(constB10)))))) <=> ((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB10) <=> (~((~v157(constB10)) | (~v195(constB10))))))),
% 16.63/11.87 inference(monotonicity,[status(thm)],[29108])).
% 16.63/11.87 tff(29110,plain,
% 16.63/11.87 (((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB10) <=> (~((~v195(constB10)) | (~v157(constB10)))))) <=> ((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB10) <=> (~((~v157(constB10)) | (~v195(constB10))))))),
% 16.63/11.87 inference(transitivity,[status(thm)],[29109, 29107])).
% 16.63/11.87 tff(29111,plain,
% 16.63/11.87 ((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB10) <=> (~((~v195(constB10)) | (~v157(constB10)))))),
% 16.63/11.87 inference(quant_inst,[status(thm)],[])).
% 16.63/11.87 tff(29112,plain,
% 16.63/11.87 ((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB10) <=> (~((~v157(constB10)) | (~v195(constB10)))))),
% 16.63/11.87 inference(modus_ponens,[status(thm)],[29111, 29110])).
% 16.63/11.87 tff(29113,plain,
% 16.63/11.87 (v194(constB10) <=> (~((~v157(constB10)) | (~v195(constB10))))),
% 16.63/11.87 inference(unit_resolution,[status(thm)],[29112, 161])).
% 16.63/11.87 tff(29114,plain,
% 16.63/11.87 ((~![VarNext: $i] : (v157(VarNext) <=> v193(VarNext))) | (v157(constB10) <=> v193(constB10))),
% 16.63/11.87 inference(quant_inst,[status(thm)],[])).
% 16.63/11.87 tff(29115,plain,
% 16.63/11.87 (v157(constB10) <=> v193(constB10)),
% 16.63/11.87 inference(unit_resolution,[status(thm)],[29114, 13])).
% 16.63/11.87 tff(29116,plain,
% 16.63/11.87 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v193(VarNext) <=> v191(VarCurr)))) | ((~nextState(constB9, constB10)) | (v193(constB10) <=> v191(constB9)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v193(VarNext) <=> v191(VarCurr)))) | (~nextState(constB9, constB10)) | (v193(constB10) <=> v191(constB9)))),
% 16.63/11.87 inference(rewrite,[status(thm)],[])).
% 16.63/11.87 tff(29117,plain,
% 16.63/11.87 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v193(VarNext) <=> v191(VarCurr)))) | ((~nextState(constB9, constB10)) | (v193(constB10) <=> v191(constB9)))),
% 16.63/11.87 inference(quant_inst,[status(thm)],[])).
% 16.63/11.87 tff(29118,plain,
% 16.63/11.87 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v193(VarNext) <=> v191(VarCurr)))) | (~nextState(constB9, constB10)) | (v193(constB10) <=> v191(constB9))),
% 16.63/11.87 inference(modus_ponens,[status(thm)],[29117, 29116])).
% 16.63/11.87 tff(29119,plain,
% 16.63/11.87 (v193(constB10) <=> v191(constB9)),
% 16.63/11.87 inference(unit_resolution,[status(thm)],[29118, 4533, 70])).
% 16.63/11.87 tff(29120,plain,
% 16.63/11.87 ((~![VarCurr: $i] : (v191(VarCurr) <=> (v194(VarCurr) | v198(VarCurr)))) | (v191(constB9) <=> (v194(constB9) | v198(constB9)))),
% 16.63/11.87 inference(quant_inst,[status(thm)],[])).
% 16.63/11.87 tff(29121,plain,
% 16.63/11.87 (v191(constB9) <=> (v194(constB9) | v198(constB9))),
% 16.63/11.87 inference(unit_resolution,[status(thm)],[29120, 84])).
% 16.63/11.87 tff(29122,plain,
% 16.63/11.87 (((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB9) <=> (~((~v157(constB9)) | (~v195(constB9)))))) <=> ((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB9) <=> (~((~v157(constB9)) | (~v195(constB9))))))),
% 16.63/11.87 inference(rewrite,[status(thm)],[])).
% 16.63/11.87 tff(29123,plain,
% 16.63/11.87 ((v194(constB9) <=> (~((~v195(constB9)) | (~v157(constB9))))) <=> (v194(constB9) <=> (~((~v157(constB9)) | (~v195(constB9)))))),
% 16.63/11.87 inference(rewrite,[status(thm)],[])).
% 16.63/11.87 tff(29124,plain,
% 16.63/11.87 (((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB9) <=> (~((~v195(constB9)) | (~v157(constB9)))))) <=> ((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB9) <=> (~((~v157(constB9)) | (~v195(constB9))))))),
% 16.63/11.87 inference(monotonicity,[status(thm)],[29123])).
% 16.63/11.87 tff(29125,plain,
% 16.63/11.87 (((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB9) <=> (~((~v195(constB9)) | (~v157(constB9)))))) <=> ((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB9) <=> (~((~v157(constB9)) | (~v195(constB9))))))),
% 16.63/11.87 inference(transitivity,[status(thm)],[29124, 29122])).
% 16.63/11.87 tff(29126,plain,
% 16.63/11.87 ((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB9) <=> (~((~v195(constB9)) | (~v157(constB9)))))),
% 16.63/11.87 inference(quant_inst,[status(thm)],[])).
% 16.63/11.87 tff(29127,plain,
% 16.63/11.87 ((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB9) <=> (~((~v157(constB9)) | (~v195(constB9)))))),
% 16.63/11.87 inference(modus_ponens,[status(thm)],[29126, 29125])).
% 16.63/11.87 tff(29128,plain,
% 16.63/11.87 (v194(constB9) <=> (~((~v157(constB9)) | (~v195(constB9))))),
% 16.63/11.87 inference(unit_resolution,[status(thm)],[29127, 161])).
% 16.63/11.87 tff(29129,plain,
% 16.63/11.87 ((~![VarCurr: $i] : ((~v195(VarCurr)) <=> v196(VarCurr))) | ((~v195(constB9)) <=> v196(constB9))),
% 16.63/11.87 inference(quant_inst,[status(thm)],[])).
% 16.63/11.87 tff(29130,plain,
% 16.63/11.87 ((~v195(constB9)) <=> v196(constB9)),
% 16.63/11.87 inference(unit_resolution,[status(thm)],[29129, 193])).
% 16.63/11.87 tff(29131,plain,
% 16.63/11.87 ((~![VarCurr: $i] : (v196(VarCurr) <=> (v197(VarCurr) | v26(VarCurr)))) | (v196(constB9) <=> (v197(constB9) | v26(constB9)))),
% 16.63/11.87 inference(quant_inst,[status(thm)],[])).
% 16.63/11.87 tff(29132,plain,
% 16.63/11.87 (v196(constB9) <=> (v197(constB9) | v26(constB9))),
% 16.63/11.87 inference(unit_resolution,[status(thm)],[29131, 202])).
% 16.63/11.87 tff(29133,plain,
% 16.63/11.87 ((~![VarCurr: $i] : (v197(VarCurr) <=> (~((~v39(VarCurr)) | (~v9(VarCurr)))))) | (v197(constB9) <=> (~((~v39(constB9)) | (~v9(constB9)))))),
% 16.63/11.87 inference(quant_inst,[status(thm)],[])).
% 16.63/11.87 tff(29134,plain,
% 16.63/11.87 (v197(constB9) <=> (~((~v39(constB9)) | (~v9(constB9))))),
% 16.63/11.87 inference(unit_resolution,[status(thm)],[29133, 120])).
% 16.63/11.87 tff(29135,plain,
% 16.63/11.87 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | ((~nextState(constB9, constB10)) | (v13(constB10) <=> v9(constB9)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | (~nextState(constB9, constB10)) | (v13(constB10) <=> v9(constB9)))),
% 16.63/11.87 inference(rewrite,[status(thm)],[])).
% 16.63/11.87 tff(29136,plain,
% 16.63/11.87 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | ((~nextState(constB9, constB10)) | (v13(constB10) <=> v9(constB9)))),
% 16.63/11.87 inference(quant_inst,[status(thm)],[])).
% 16.63/11.87 tff(29137,plain,
% 16.63/11.87 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | (~nextState(constB9, constB10)) | (v13(constB10) <=> v9(constB9))),
% 16.63/11.87 inference(modus_ponens,[status(thm)],[29136, 29135])).
% 16.63/11.87 tff(29138,plain,
% 16.63/11.87 (v13(constB10) <=> v9(constB9)),
% 16.63/11.87 inference(unit_resolution,[status(thm)],[29137, 4533, 216])).
% 16.63/11.87 tff(29139,plain,
% 16.63/11.87 ((~![VarNext: $i] : (v6(VarNext) <=> v13(VarNext))) | (v6(constB10) <=> v13(constB10))),
% 16.63/11.87 inference(quant_inst,[status(thm)],[])).
% 16.63/11.87 tff(29140,plain,
% 16.63/11.87 (v6(constB10) <=> v13(constB10)),
% 16.63/11.87 inference(unit_resolution,[status(thm)],[29139, 230])).
% 16.63/11.87 tff(29141,plain,
% 16.63/11.87 ((~![VarCurr: $i] : ((~v21(VarCurr)) <=> v6(VarCurr))) | ((~v21(constB10)) <=> v6(constB10))),
% 16.63/11.87 inference(quant_inst,[status(thm)],[])).
% 16.63/11.87 tff(29142,plain,
% 16.63/11.87 ((~v21(constB10)) <=> v6(constB10)),
% 16.63/11.87 inference(unit_resolution,[status(thm)],[29141, 239])).
% 16.63/11.87 tff(29143,plain,
% 16.63/11.87 ((~![VarCurr: $i] : (v19(VarCurr) <=> (v20(VarCurr) | v21(VarCurr)))) | (v19(constB10) <=> (v20(constB10) | v21(constB10)))),
% 16.63/11.87 inference(quant_inst,[status(thm)],[])).
% 16.63/11.87 tff(29144,plain,
% 16.63/11.87 (v19(constB10) <=> (v20(constB10) | v21(constB10))),
% 16.63/11.87 inference(unit_resolution,[status(thm)],[29143, 248])).
% 16.63/11.87 tff(29145,plain,
% 16.63/11.87 ((~![VarCurr: $i] : (v18(VarCurr) <=> (~((~v19(VarCurr)) | (~v22(VarCurr)))))) | (v18(constB10) <=> (~((~v19(constB10)) | (~v22(constB10)))))),
% 16.63/11.87 inference(quant_inst,[status(thm)],[])).
% 16.63/11.87 tff(29146,plain,
% 16.63/11.87 (v18(constB10) <=> (~((~v19(constB10)) | (~v22(constB10))))),
% 16.63/11.87 inference(unit_resolution,[status(thm)],[29145, 260])).
% 16.63/11.87 tff(29147,plain,
% 16.63/11.87 ((~![VarCurr: $i] : ((~v4(VarCurr)) <=> v18(VarCurr))) | ((~v4(constB10)) <=> v18(constB10))),
% 16.63/11.87 inference(quant_inst,[status(thm)],[])).
% 16.63/11.87 tff(29148,plain,
% 16.63/11.87 ((~v4(constB10)) <=> v18(constB10)),
% 16.63/11.87 inference(unit_resolution,[status(thm)],[29147, 269])).
% 16.63/11.87 tff(29149,plain,
% 16.63/11.87 ((~![VarCurr: $i] : v4(VarCurr)) | v4(constB10)),
% 16.63/11.87 inference(quant_inst,[status(thm)],[])).
% 16.63/11.87 tff(29150,plain,
% 16.63/11.87 (v4(constB10)),
% 16.63/11.87 inference(unit_resolution,[status(thm)],[29149, 278])).
% 16.63/11.87 tff(29151,plain,
% 16.63/11.87 ((~((~v4(constB10)) <=> v18(constB10))) | (~v4(constB10)) | (~v18(constB10))),
% 16.63/11.87 inference(tautology,[status(thm)],[])).
% 16.63/11.87 tff(29152,plain,
% 16.63/11.87 (~v18(constB10)),
% 16.63/11.87 inference(unit_resolution,[status(thm)],[29151, 29150, 29148])).
% 16.63/11.87 tff(29153,plain,
% 16.63/11.87 ((~(v18(constB10) <=> (~((~v19(constB10)) | (~v22(constB10)))))) | v18(constB10) | ((~v19(constB10)) | (~v22(constB10)))),
% 16.63/11.87 inference(tautology,[status(thm)],[])).
% 16.63/11.87 tff(29154,plain,
% 16.63/11.87 ((~v19(constB10)) | (~v22(constB10))),
% 16.63/11.87 inference(unit_resolution,[status(thm)],[29153, 29152, 29146])).
% 16.63/11.87 tff(29155,plain,
% 16.63/11.87 ((~![VarCurr: $i] : (v22(VarCurr) <=> (v1(VarCurr) | v6(VarCurr)))) | (v22(constB10) <=> (v1(constB10) | v6(constB10)))),
% 16.63/11.87 inference(quant_inst,[status(thm)],[])).
% 16.63/11.87 tff(29156,plain,
% 16.63/11.87 (v22(constB10) <=> (v1(constB10) | v6(constB10))),
% 16.63/11.87 inference(unit_resolution,[status(thm)],[29155, 291])).
% 16.63/11.87 tff(29157,plain,
% 16.63/11.87 ((v1(constB10) | v6(constB10)) | (~v1(constB10))),
% 16.63/11.87 inference(tautology,[status(thm)],[])).
% 16.63/11.87 tff(29158,plain,
% 16.63/11.87 (v1(constB10) | v6(constB10)),
% 16.63/11.87 inference(unit_resolution,[status(thm)],[29157, 4563])).
% 16.63/11.87 tff(29159,plain,
% 16.63/11.87 ((~(v22(constB10) <=> (v1(constB10) | v6(constB10)))) | v22(constB10) | (~(v1(constB10) | v6(constB10)))),
% 16.63/11.87 inference(tautology,[status(thm)],[])).
% 16.63/11.87 tff(29160,plain,
% 16.63/11.87 ((~(v22(constB10) <=> (v1(constB10) | v6(constB10)))) | v22(constB10)),
% 16.63/11.87 inference(unit_resolution,[status(thm)],[29159, 29158])).
% 16.63/11.87 tff(29161,plain,
% 16.63/11.87 (v22(constB10)),
% 16.63/11.87 inference(unit_resolution,[status(thm)],[29160, 29156])).
% 16.63/11.87 tff(29162,plain,
% 16.63/11.87 ((~((~v19(constB10)) | (~v22(constB10)))) | (~v19(constB10)) | (~v22(constB10))),
% 16.63/11.87 inference(tautology,[status(thm)],[])).
% 16.63/11.87 tff(29163,plain,
% 16.63/11.87 ((~((~v19(constB10)) | (~v22(constB10)))) | (~v19(constB10))),
% 16.63/11.87 inference(unit_resolution,[status(thm)],[29162, 29161])).
% 16.63/11.87 tff(29164,plain,
% 16.63/11.87 (~v19(constB10)),
% 16.63/11.87 inference(unit_resolution,[status(thm)],[29163, 29154])).
% 16.63/11.87 tff(29165,plain,
% 16.63/11.87 ((~(v19(constB10) <=> (v20(constB10) | v21(constB10)))) | v19(constB10) | (~(v20(constB10) | v21(constB10)))),
% 16.63/11.87 inference(tautology,[status(thm)],[])).
% 16.63/11.87 tff(29166,plain,
% 16.63/11.87 (~(v20(constB10) | v21(constB10))),
% 16.63/11.87 inference(unit_resolution,[status(thm)],[29165, 29164, 29144])).
% 16.63/11.87 tff(29167,plain,
% 16.63/11.87 ((v20(constB10) | v21(constB10)) | (~v21(constB10))),
% 16.63/11.87 inference(tautology,[status(thm)],[])).
% 16.63/11.87 tff(29168,plain,
% 16.63/11.87 (~v21(constB10)),
% 16.63/11.87 inference(unit_resolution,[status(thm)],[29167, 29166])).
% 16.63/11.87 tff(29169,plain,
% 16.63/11.87 ((~((~v21(constB10)) <=> v6(constB10))) | v21(constB10) | v6(constB10)),
% 16.63/11.87 inference(tautology,[status(thm)],[])).
% 16.63/11.87 tff(29170,plain,
% 16.63/11.87 (v6(constB10)),
% 16.63/11.87 inference(unit_resolution,[status(thm)],[29169, 29168, 29142])).
% 16.63/11.87 tff(29171,plain,
% 16.63/11.87 ((~(v6(constB10) <=> v13(constB10))) | (~v6(constB10)) | v13(constB10)),
% 16.63/11.87 inference(tautology,[status(thm)],[])).
% 16.63/11.87 tff(29172,plain,
% 16.63/11.87 (v13(constB10)),
% 16.63/11.87 inference(unit_resolution,[status(thm)],[29171, 29170, 29140])).
% 16.63/11.87 tff(29173,plain,
% 16.63/11.87 ((~(v13(constB10) <=> v9(constB9))) | (~v13(constB10)) | v9(constB9)),
% 16.63/11.87 inference(tautology,[status(thm)],[])).
% 16.63/11.87 tff(29174,plain,
% 16.63/11.87 (v9(constB9)),
% 16.63/11.87 inference(unit_resolution,[status(thm)],[29173, 29172, 29138])).
% 16.63/11.87 tff(29175,plain,
% 16.63/11.87 ((~![VarCurr: $i] : ((~v39(VarCurr)) <=> v1(VarCurr))) | ((~v39(constB9)) <=> v1(constB9))),
% 16.63/11.87 inference(quant_inst,[status(thm)],[])).
% 16.63/11.87 tff(29176,plain,
% 16.63/11.87 ((~v39(constB9)) <=> v1(constB9)),
% 16.63/11.87 inference(unit_resolution,[status(thm)],[29175, 129])).
% 16.63/11.87 tff(29177,plain,
% 16.63/11.87 ((~((~v39(constB9)) <=> v1(constB9))) | v39(constB9) | v1(constB9)),
% 16.63/11.87 inference(tautology,[status(thm)],[])).
% 16.63/11.87 tff(29178,plain,
% 16.63/11.87 ((~((~v39(constB9)) <=> v1(constB9))) | v39(constB9)),
% 16.63/11.87 inference(unit_resolution,[status(thm)],[29177, 4555])).
% 16.63/11.87 tff(29179,plain,
% 16.63/11.87 (v39(constB9)),
% 16.63/11.87 inference(unit_resolution,[status(thm)],[29178, 29176])).
% 16.63/11.87 tff(29180,plain,
% 16.63/11.87 ((~((~v39(constB9)) | (~v9(constB9)))) | (~v39(constB9)) | (~v9(constB9))),
% 16.63/11.87 inference(tautology,[status(thm)],[])).
% 16.63/11.87 tff(29181,plain,
% 16.63/11.87 ((~((~v39(constB9)) | (~v9(constB9)))) | (~v9(constB9))),
% 16.63/11.87 inference(unit_resolution,[status(thm)],[29180, 29179])).
% 16.63/11.87 tff(29182,plain,
% 16.63/11.87 (~((~v39(constB9)) | (~v9(constB9)))),
% 16.63/11.87 inference(unit_resolution,[status(thm)],[29181, 29174])).
% 16.63/11.87 tff(29183,plain,
% 16.63/11.87 ((~(v197(constB9) <=> (~((~v39(constB9)) | (~v9(constB9)))))) | v197(constB9) | ((~v39(constB9)) | (~v9(constB9)))),
% 16.63/11.87 inference(tautology,[status(thm)],[])).
% 16.63/11.87 tff(29184,plain,
% 16.63/11.87 (v197(constB9)),
% 16.63/11.87 inference(unit_resolution,[status(thm)],[29183, 29182, 29134])).
% 16.63/11.87 tff(29185,plain,
% 16.63/11.87 ((v197(constB9) | v26(constB9)) | (~v197(constB9))),
% 16.63/11.87 inference(tautology,[status(thm)],[])).
% 16.63/11.87 tff(29186,plain,
% 16.63/11.87 (v197(constB9) | v26(constB9)),
% 16.63/11.87 inference(unit_resolution,[status(thm)],[29185, 29184])).
% 16.63/11.87 tff(29187,plain,
% 16.63/11.87 ((~(v196(constB9) <=> (v197(constB9) | v26(constB9)))) | v196(constB9) | (~(v197(constB9) | v26(constB9)))),
% 16.63/11.87 inference(tautology,[status(thm)],[])).
% 16.63/11.87 tff(29188,plain,
% 16.63/11.87 (v196(constB9)),
% 16.63/11.87 inference(unit_resolution,[status(thm)],[29187, 29186, 29132])).
% 16.63/11.87 tff(29189,plain,
% 16.63/11.87 ((~((~v195(constB9)) <=> v196(constB9))) | (~v195(constB9)) | (~v196(constB9))),
% 16.63/11.87 inference(tautology,[status(thm)],[])).
% 16.63/11.87 tff(29190,plain,
% 16.63/11.87 (~v195(constB9)),
% 16.63/11.87 inference(unit_resolution,[status(thm)],[29189, 29188, 29130])).
% 16.63/11.87 tff(29191,plain,
% 16.63/11.87 (((~v157(constB9)) | (~v195(constB9))) | v195(constB9)),
% 16.63/11.87 inference(tautology,[status(thm)],[])).
% 16.63/11.87 tff(29192,plain,
% 16.63/11.87 ((~v157(constB9)) | (~v195(constB9))),
% 16.63/11.87 inference(unit_resolution,[status(thm)],[29191, 29190])).
% 16.63/11.87 tff(29193,plain,
% 16.63/11.87 ((~(v194(constB9) <=> (~((~v157(constB9)) | (~v195(constB9)))))) | (~v194(constB9)) | (~((~v157(constB9)) | (~v195(constB9))))),
% 16.63/11.87 inference(tautology,[status(thm)],[])).
% 16.63/11.87 tff(29194,plain,
% 16.63/11.87 (~v194(constB9)),
% 16.63/11.87 inference(unit_resolution,[status(thm)],[29193, 29192, 29128])).
% 16.63/11.87 tff(29195,plain,
% 16.63/11.87 ((~![VarCurr: $i] : (v198(VarCurr) <=> (~((~v199(VarCurr)) | (~v200(VarCurr)))))) | (v198(constB9) <=> (~((~v199(constB9)) | (~v200(constB9)))))),
% 16.63/11.87 inference(quant_inst,[status(thm)],[])).
% 16.63/11.87 tff(29196,plain,
% 16.63/11.87 (v198(constB9) <=> (~((~v199(constB9)) | (~v200(constB9))))),
% 16.63/11.87 inference(unit_resolution,[status(thm)],[29195, 96])).
% 16.63/11.87 tff(29197,plain,
% 16.63/11.87 ((~![VarCurr: $i] : (v200(VarCurr) <=> (~((~v197(VarCurr)) | (~v201(VarCurr)))))) | (v200(constB9) <=> (~((~v197(constB9)) | (~v201(constB9)))))),
% 16.63/11.87 inference(quant_inst,[status(thm)],[])).
% 16.63/11.87 tff(29198,plain,
% 16.63/11.87 (v200(constB9) <=> (~((~v197(constB9)) | (~v201(constB9))))),
% 16.63/11.87 inference(unit_resolution,[status(thm)],[29197, 108])).
% 16.63/11.87 tff(29199,plain,
% 16.63/11.87 ((~![VarCurr: $i] : (v201(VarCurr) <=> (~((~v159(VarCurr)) | (~v161(VarCurr)))))) | (v201(constB9) <=> (~((~v159(constB9)) | (~v161(constB9)))))),
% 16.63/11.87 inference(quant_inst,[status(thm)],[])).
% 16.63/11.87 tff(29200,plain,
% 16.63/11.87 (v201(constB9) <=> (~((~v159(constB9)) | (~v161(constB9))))),
% 16.63/11.87 inference(unit_resolution,[status(thm)],[29199, 348])).
% 16.63/11.87 tff(29201,plain,
% 16.63/11.87 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v179(VarNext) <=> v180(VarNext)))) | ((~nextState(constB8, constB9)) | (v179(constB9) <=> v180(constB9)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v179(VarNext) <=> v180(VarNext)))) | (~nextState(constB8, constB9)) | (v179(constB9) <=> v180(constB9)))),
% 16.63/11.87 inference(rewrite,[status(thm)],[])).
% 16.63/11.87 tff(29202,plain,
% 16.63/11.87 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v179(VarNext) <=> v180(VarNext)))) | ((~nextState(constB8, constB9)) | (v179(constB9) <=> v180(constB9)))),
% 16.63/11.87 inference(quant_inst,[status(thm)],[])).
% 16.63/11.87 tff(29203,plain,
% 16.63/11.87 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v179(VarNext) <=> v180(VarNext)))) | (~nextState(constB8, constB9)) | (v179(constB9) <=> v180(constB9))),
% 16.63/11.87 inference(modus_ponens,[status(thm)],[29202, 29201])).
% 16.63/11.87 tff(29204,plain,
% 16.63/11.87 (v179(constB9) <=> v180(constB9)),
% 16.63/11.87 inference(unit_resolution,[status(thm)],[29203, 4596, 13536])).
% 16.63/11.87 tff(29205,plain,
% 16.63/11.87 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> (~((~v181(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB8, constB9)) | (v180(constB9) <=> (~((~v1(constB9)) | (~v181(constB9))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> (~((~v181(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB8, constB9)) | (v180(constB9) <=> (~((~v1(constB9)) | (~v181(constB9))))))),
% 16.63/11.87 inference(rewrite,[status(thm)],[])).
% 16.63/11.87 tff(29206,plain,
% 16.63/11.87 (((~nextState(constB8, constB9)) | (v180(constB9) <=> (~((~v181(constB9)) | (~v1(constB9)))))) <=> ((~nextState(constB8, constB9)) | (v180(constB9) <=> (~((~v1(constB9)) | (~v181(constB9))))))),
% 16.63/11.87 inference(rewrite,[status(thm)],[])).
% 16.63/11.87 tff(29207,plain,
% 16.63/11.87 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> (~((~v181(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB8, constB9)) | (v180(constB9) <=> (~((~v181(constB9)) | (~v1(constB9))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> (~((~v181(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB8, constB9)) | (v180(constB9) <=> (~((~v1(constB9)) | (~v181(constB9)))))))),
% 16.63/11.87 inference(monotonicity,[status(thm)],[29206])).
% 16.63/11.87 tff(29208,plain,
% 16.63/11.87 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> (~((~v181(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB8, constB9)) | (v180(constB9) <=> (~((~v181(constB9)) | (~v1(constB9))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> (~((~v181(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB8, constB9)) | (v180(constB9) <=> (~((~v1(constB9)) | (~v181(constB9))))))),
% 16.63/11.88 inference(transitivity,[status(thm)],[29207, 29205])).
% 16.63/11.88 tff(29209,plain,
% 16.63/11.88 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> (~((~v181(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB8, constB9)) | (v180(constB9) <=> (~((~v181(constB9)) | (~v1(constB9))))))),
% 16.63/11.88 inference(quant_inst,[status(thm)],[])).
% 16.63/11.88 tff(29210,plain,
% 16.63/11.88 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> (~((~v181(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB8, constB9)) | (v180(constB9) <=> (~((~v1(constB9)) | (~v181(constB9)))))),
% 16.63/11.88 inference(modus_ponens,[status(thm)],[29209, 29208])).
% 16.63/11.88 tff(29211,plain,
% 16.63/11.88 (v180(constB9) <=> (~((~v1(constB9)) | (~v181(constB9))))),
% 16.63/11.88 inference(unit_resolution,[status(thm)],[29210, 4596, 13556])).
% 16.63/11.88 tff(29212,plain,
% 16.63/11.88 (((~v1(constB9)) | (~v181(constB9))) | v1(constB9)),
% 16.63/11.88 inference(tautology,[status(thm)],[])).
% 16.63/11.88 tff(29213,plain,
% 16.63/11.88 ((~v1(constB9)) | (~v181(constB9))),
% 16.63/11.88 inference(unit_resolution,[status(thm)],[29212, 4555])).
% 16.63/11.88 tff(29214,plain,
% 16.63/11.88 ((~(v180(constB9) <=> (~((~v1(constB9)) | (~v181(constB9)))))) | (~v180(constB9)) | (~((~v1(constB9)) | (~v181(constB9))))),
% 16.63/11.88 inference(tautology,[status(thm)],[])).
% 16.63/11.88 tff(29215,plain,
% 16.63/11.88 ((~(v180(constB9) <=> (~((~v1(constB9)) | (~v181(constB9)))))) | (~v180(constB9))),
% 16.63/11.88 inference(unit_resolution,[status(thm)],[29214, 29213])).
% 16.63/11.88 tff(29216,plain,
% 16.63/11.88 (~v180(constB9)),
% 16.63/11.88 inference(unit_resolution,[status(thm)],[29215, 29211])).
% 16.63/11.88 tff(29217,plain,
% 16.63/11.88 ((~(v179(constB9) <=> v180(constB9))) | (~v179(constB9)) | v180(constB9)),
% 16.63/11.88 inference(tautology,[status(thm)],[])).
% 16.63/11.88 tff(29218,plain,
% 16.63/11.88 (~v179(constB9)),
% 16.63/11.88 inference(unit_resolution,[status(thm)],[29217, 29216, 29204])).
% 16.63/11.88 tff(29219,plain,
% 16.63/11.88 (((~![VarCurr: $i, VarNext: $i] : ((v159(VarNext) <=> v159(VarCurr)) | v179(VarNext) | (~nextState(VarCurr, VarNext)))) | ((~nextState(constB8, constB9)) | v179(constB9) | (v159(constB9) <=> v159(constB8)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((v159(VarNext) <=> v159(VarCurr)) | v179(VarNext) | (~nextState(VarCurr, VarNext)))) | (~nextState(constB8, constB9)) | v179(constB9) | (v159(constB9) <=> v159(constB8)))),
% 16.63/11.88 inference(rewrite,[status(thm)],[])).
% 16.63/11.88 tff(29220,plain,
% 16.63/11.88 (((v159(constB9) <=> v159(constB8)) | v179(constB9) | (~nextState(constB8, constB9))) <=> ((~nextState(constB8, constB9)) | v179(constB9) | (v159(constB9) <=> v159(constB8)))),
% 16.63/11.88 inference(rewrite,[status(thm)],[])).
% 16.63/11.88 tff(29221,plain,
% 16.63/11.88 (((~![VarCurr: $i, VarNext: $i] : ((v159(VarNext) <=> v159(VarCurr)) | v179(VarNext) | (~nextState(VarCurr, VarNext)))) | ((v159(constB9) <=> v159(constB8)) | v179(constB9) | (~nextState(constB8, constB9)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((v159(VarNext) <=> v159(VarCurr)) | v179(VarNext) | (~nextState(VarCurr, VarNext)))) | ((~nextState(constB8, constB9)) | v179(constB9) | (v159(constB9) <=> v159(constB8))))),
% 16.63/11.88 inference(monotonicity,[status(thm)],[29220])).
% 16.63/11.88 tff(29222,plain,
% 16.63/11.88 (((~![VarCurr: $i, VarNext: $i] : ((v159(VarNext) <=> v159(VarCurr)) | v179(VarNext) | (~nextState(VarCurr, VarNext)))) | ((v159(constB9) <=> v159(constB8)) | v179(constB9) | (~nextState(constB8, constB9)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((v159(VarNext) <=> v159(VarCurr)) | v179(VarNext) | (~nextState(VarCurr, VarNext)))) | (~nextState(constB8, constB9)) | v179(constB9) | (v159(constB9) <=> v159(constB8)))),
% 16.63/11.88 inference(transitivity,[status(thm)],[29221, 29219])).
% 16.63/11.88 tff(29223,plain,
% 16.63/11.88 ((~![VarCurr: $i, VarNext: $i] : ((v159(VarNext) <=> v159(VarCurr)) | v179(VarNext) | (~nextState(VarCurr, VarNext)))) | ((v159(constB9) <=> v159(constB8)) | v179(constB9) | (~nextState(constB8, constB9)))),
% 16.63/11.88 inference(quant_inst,[status(thm)],[])).
% 16.63/11.88 tff(29224,plain,
% 16.63/11.88 ((~![VarCurr: $i, VarNext: $i] : ((v159(VarNext) <=> v159(VarCurr)) | v179(VarNext) | (~nextState(VarCurr, VarNext)))) | (~nextState(constB8, constB9)) | v179(constB9) | (v159(constB9) <=> v159(constB8))),
% 16.63/11.88 inference(modus_ponens,[status(thm)],[29223, 29222])).
% 16.63/11.88 tff(29225,plain,
% 16.63/11.88 (v179(constB9) | (v159(constB9) <=> v159(constB8))),
% 16.63/11.88 inference(unit_resolution,[status(thm)],[29224, 4596, 13580])).
% 16.63/11.88 tff(29226,plain,
% 16.63/11.88 (v159(constB9) <=> v159(constB8)),
% 16.63/11.88 inference(unit_resolution,[status(thm)],[29225, 29218])).
% 16.63/11.88 tff(29227,plain,
% 16.63/11.88 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v179(VarNext) <=> v180(VarNext)))) | ((~nextState(constB7, constB8)) | (v179(constB8) <=> v180(constB8)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v179(VarNext) <=> v180(VarNext)))) | (~nextState(constB7, constB8)) | (v179(constB8) <=> v180(constB8)))),
% 16.63/11.88 inference(rewrite,[status(thm)],[])).
% 16.63/11.88 tff(29228,plain,
% 16.63/11.88 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v179(VarNext) <=> v180(VarNext)))) | ((~nextState(constB7, constB8)) | (v179(constB8) <=> v180(constB8)))),
% 16.63/11.88 inference(quant_inst,[status(thm)],[])).
% 16.63/11.88 tff(29229,plain,
% 16.63/11.88 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v179(VarNext) <=> v180(VarNext)))) | (~nextState(constB7, constB8)) | (v179(constB8) <=> v180(constB8))),
% 16.63/11.88 inference(modus_ponens,[status(thm)],[29228, 29227])).
% 16.63/11.88 tff(29230,plain,
% 16.63/11.88 (v179(constB8) <=> v180(constB8)),
% 16.63/11.88 inference(unit_resolution,[status(thm)],[29229, 4628, 13536])).
% 16.63/11.88 tff(29231,plain,
% 16.63/11.88 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> (~((~v181(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB7, constB8)) | (v180(constB8) <=> (~((~v1(constB8)) | (~v181(constB8))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> (~((~v181(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB7, constB8)) | (v180(constB8) <=> (~((~v1(constB8)) | (~v181(constB8))))))),
% 16.63/11.88 inference(rewrite,[status(thm)],[])).
% 16.63/11.88 tff(29232,plain,
% 16.63/11.88 (((~nextState(constB7, constB8)) | (v180(constB8) <=> (~((~v181(constB8)) | (~v1(constB8)))))) <=> ((~nextState(constB7, constB8)) | (v180(constB8) <=> (~((~v1(constB8)) | (~v181(constB8))))))),
% 16.63/11.88 inference(rewrite,[status(thm)],[])).
% 16.63/11.88 tff(29233,plain,
% 16.63/11.88 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> (~((~v181(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB7, constB8)) | (v180(constB8) <=> (~((~v181(constB8)) | (~v1(constB8))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> (~((~v181(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB7, constB8)) | (v180(constB8) <=> (~((~v1(constB8)) | (~v181(constB8)))))))),
% 16.63/11.88 inference(monotonicity,[status(thm)],[29232])).
% 16.63/11.88 tff(29234,plain,
% 16.63/11.88 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> (~((~v181(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB7, constB8)) | (v180(constB8) <=> (~((~v181(constB8)) | (~v1(constB8))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> (~((~v181(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB7, constB8)) | (v180(constB8) <=> (~((~v1(constB8)) | (~v181(constB8))))))),
% 16.63/11.88 inference(transitivity,[status(thm)],[29233, 29231])).
% 16.63/11.88 tff(29235,plain,
% 16.63/11.88 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> (~((~v181(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB7, constB8)) | (v180(constB8) <=> (~((~v181(constB8)) | (~v1(constB8))))))),
% 16.63/11.88 inference(quant_inst,[status(thm)],[])).
% 16.63/11.88 tff(29236,plain,
% 16.63/11.88 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> (~((~v181(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB7, constB8)) | (v180(constB8) <=> (~((~v1(constB8)) | (~v181(constB8)))))),
% 16.63/11.88 inference(modus_ponens,[status(thm)],[29235, 29234])).
% 16.63/11.88 tff(29237,plain,
% 16.63/11.88 (v180(constB8) <=> (~((~v1(constB8)) | (~v181(constB8))))),
% 16.63/11.88 inference(unit_resolution,[status(thm)],[29236, 4628, 13556])).
% 16.63/11.88 tff(29238,plain,
% 16.63/11.88 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v181(VarNext)) <=> v104(VarNext)))) | ((~nextState(constB7, constB8)) | ((~v181(constB8)) <=> v104(constB8)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v181(VarNext)) <=> v104(VarNext)))) | (~nextState(constB7, constB8)) | ((~v181(constB8)) <=> v104(constB8)))),
% 16.63/11.88 inference(rewrite,[status(thm)],[])).
% 16.63/11.88 tff(29239,plain,
% 16.63/11.88 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v181(VarNext)) <=> v104(VarNext)))) | ((~nextState(constB7, constB8)) | ((~v181(constB8)) <=> v104(constB8)))),
% 16.63/11.88 inference(quant_inst,[status(thm)],[])).
% 16.63/11.88 tff(29240,plain,
% 16.63/11.88 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v181(VarNext)) <=> v104(VarNext)))) | (~nextState(constB7, constB8)) | ((~v181(constB8)) <=> v104(constB8))),
% 16.63/11.88 inference(modus_ponens,[status(thm)],[29239, 29238])).
% 16.63/11.88 tff(29241,plain,
% 16.63/11.88 ((~v181(constB8)) <=> v104(constB8)),
% 16.63/11.88 inference(unit_resolution,[status(thm)],[29240, 4628, 13612])).
% 16.63/11.88 tff(29242,plain,
% 16.63/11.88 ((~((~v181(constB8)) <=> v104(constB8))) | v181(constB8) | v104(constB8)),
% 16.63/11.88 inference(tautology,[status(thm)],[])).
% 16.63/11.88 tff(29243,plain,
% 16.63/11.88 (v181(constB8)),
% 16.63/11.88 inference(unit_resolution,[status(thm)],[29242, 4653, 29241])).
% 16.63/11.88 tff(29244,plain,
% 16.63/11.88 ((~((~v1(constB8)) | (~v181(constB8)))) | (~v1(constB8)) | (~v181(constB8))),
% 16.63/11.88 inference(tautology,[status(thm)],[])).
% 16.63/11.88 tff(29245,plain,
% 16.63/11.88 ((~((~v1(constB8)) | (~v181(constB8)))) | (~v181(constB8))),
% 16.63/11.88 inference(unit_resolution,[status(thm)],[29244, 4658])).
% 16.63/11.88 tff(29246,plain,
% 16.63/11.88 (~((~v1(constB8)) | (~v181(constB8)))),
% 16.63/11.88 inference(unit_resolution,[status(thm)],[29245, 29243])).
% 16.63/11.88 tff(29247,plain,
% 16.63/11.88 ((~(v180(constB8) <=> (~((~v1(constB8)) | (~v181(constB8)))))) | v180(constB8) | ((~v1(constB8)) | (~v181(constB8)))),
% 16.63/11.88 inference(tautology,[status(thm)],[])).
% 16.63/11.88 tff(29248,plain,
% 16.63/11.88 (v180(constB8)),
% 16.63/11.88 inference(unit_resolution,[status(thm)],[29247, 29246, 29237])).
% 16.63/11.88 tff(29249,plain,
% 16.63/11.88 ((~(v179(constB8) <=> v180(constB8))) | v179(constB8) | (~v180(constB8))),
% 16.63/11.88 inference(tautology,[status(thm)],[])).
% 16.63/11.88 tff(29250,plain,
% 16.63/11.88 (v179(constB8)),
% 16.63/11.88 inference(unit_resolution,[status(thm)],[29249, 29248, 29230])).
% 16.63/11.88 tff(29251,plain,
% 16.63/11.88 (((~![VarNext: $i] : ((~v179(VarNext)) | (v159(VarNext) <=> v186(VarNext)))) | ((~v179(constB8)) | (v159(constB8) <=> v186(constB8)))) <=> ((~![VarNext: $i] : ((~v179(VarNext)) | (v159(VarNext) <=> v186(VarNext)))) | (~v179(constB8)) | (v159(constB8) <=> v186(constB8)))),
% 16.63/11.88 inference(rewrite,[status(thm)],[])).
% 16.63/11.88 tff(29252,plain,
% 16.63/11.88 ((~![VarNext: $i] : ((~v179(VarNext)) | (v159(VarNext) <=> v186(VarNext)))) | ((~v179(constB8)) | (v159(constB8) <=> v186(constB8)))),
% 16.63/11.88 inference(quant_inst,[status(thm)],[])).
% 16.63/11.88 tff(29253,plain,
% 16.63/11.88 ((~![VarNext: $i] : ((~v179(VarNext)) | (v159(VarNext) <=> v186(VarNext)))) | (~v179(constB8)) | (v159(constB8) <=> v186(constB8))),
% 16.63/11.88 inference(modus_ponens,[status(thm)],[29252, 29251])).
% 16.63/11.88 tff(29254,plain,
% 16.63/11.88 (v159(constB8) <=> v186(constB8)),
% 16.63/11.88 inference(unit_resolution,[status(thm)],[29253, 13648, 29250])).
% 16.63/11.88 tff(29255,plain,
% 16.63/11.88 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v186(VarNext) <=> v161(VarCurr)))) | ((~nextState(constB7, constB8)) | (v186(constB8) <=> v161(constB7)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v186(VarNext) <=> v161(VarCurr)))) | (~nextState(constB7, constB8)) | (v186(constB8) <=> v161(constB7)))),
% 16.63/11.88 inference(rewrite,[status(thm)],[])).
% 16.63/11.88 tff(29256,plain,
% 16.63/11.88 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v186(VarNext) <=> v161(VarCurr)))) | ((~nextState(constB7, constB8)) | (v186(constB8) <=> v161(constB7)))),
% 16.63/11.88 inference(quant_inst,[status(thm)],[])).
% 16.63/11.88 tff(29257,plain,
% 16.63/11.88 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v186(VarNext) <=> v161(VarCurr)))) | (~nextState(constB7, constB8)) | (v186(constB8) <=> v161(constB7))),
% 16.63/11.88 inference(modus_ponens,[status(thm)],[29256, 29255])).
% 16.63/11.88 tff(29258,plain,
% 16.63/11.88 (v186(constB8) <=> v161(constB7)),
% 16.63/11.88 inference(unit_resolution,[status(thm)],[29257, 4628, 13662])).
% 16.63/11.88 tff(29259,plain,
% 16.63/11.88 ((~![VarCurr: $i] : (v161(VarCurr) <=> v163(VarCurr))) | (v161(constB7) <=> v163(constB7))),
% 16.63/11.88 inference(quant_inst,[status(thm)],[])).
% 16.63/11.88 tff(29260,plain,
% 16.63/11.88 (v161(constB7) <=> v163(constB7)),
% 16.63/11.88 inference(unit_resolution,[status(thm)],[29259, 357])).
% 16.63/11.88 tff(29261,plain,
% 16.63/11.88 ((~![VarCurr: $i] : (v171(VarCurr) <=> (v142(VarCurr) | v150(VarCurr)))) | (v171(constB7) <=> (v142(constB7) | v150(constB7)))),
% 16.63/11.88 inference(quant_inst,[status(thm)],[])).
% 16.63/11.88 tff(29262,plain,
% 16.63/11.88 (v171(constB7) <=> (v142(constB7) | v150(constB7))),
% 16.63/11.88 inference(unit_resolution,[status(thm)],[29261, 369])).
% 16.63/11.88 tff(29263,plain,
% 16.63/11.88 ((~![VarCurr: $i] : (v150(VarCurr) <=> (v141(VarCurr) | v151(VarCurr)))) | (v150(constB7) <=> (v141(constB7) | v151(constB7)))),
% 16.63/11.88 inference(quant_inst,[status(thm)],[])).
% 16.63/11.88 tff(29264,plain,
% 16.63/11.88 (v150(constB7) <=> (v141(constB7) | v151(constB7))),
% 16.63/11.88 inference(unit_resolution,[status(thm)],[29263, 13680])).
% 16.63/11.88 tff(29265,plain,
% 16.63/11.88 ((~![VarCurr: $i] : (v151(VarCurr) <=> (v139(VarCurr) | v140(VarCurr)))) | (v151(constB7) <=> (v139(constB7) | v140(constB7)))),
% 16.63/11.88 inference(quant_inst,[status(thm)],[])).
% 16.63/11.88 tff(29266,plain,
% 16.63/11.88 (v151(constB7) <=> (v139(constB7) | v140(constB7))),
% 16.63/11.88 inference(unit_resolution,[status(thm)],[29265, 13689])).
% 16.63/11.88 tff(29267,plain,
% 16.63/11.88 (((~![VarCurr: $i] : (v140(VarCurr) <=> (~(v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex0)))))) | (v140(constB7) <=> (~(v88(constB7, bitIndex2) | v88(constB7, bitIndex1) | (~v88(constB7, bitIndex0)))))) <=> ((~![VarCurr: $i] : (v140(VarCurr) <=> (~(v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex0)))))) | (v140(constB7) <=> (~(v88(constB7, bitIndex2) | v88(constB7, bitIndex1) | (~v88(constB7, bitIndex0))))))),
% 16.63/11.88 inference(rewrite,[status(thm)],[])).
% 16.63/11.88 tff(29268,plain,
% 16.63/11.88 ((v140(constB7) <=> (~(v88(constB7, bitIndex1) | v88(constB7, bitIndex2) | (~v88(constB7, bitIndex0))))) <=> (v140(constB7) <=> (~(v88(constB7, bitIndex2) | v88(constB7, bitIndex1) | (~v88(constB7, bitIndex0)))))),
% 16.63/11.88 inference(rewrite,[status(thm)],[])).
% 16.63/11.88 tff(29269,plain,
% 16.63/11.88 (((~![VarCurr: $i] : (v140(VarCurr) <=> (~(v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex0)))))) | (v140(constB7) <=> (~(v88(constB7, bitIndex1) | v88(constB7, bitIndex2) | (~v88(constB7, bitIndex0)))))) <=> ((~![VarCurr: $i] : (v140(VarCurr) <=> (~(v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex0)))))) | (v140(constB7) <=> (~(v88(constB7, bitIndex2) | v88(constB7, bitIndex1) | (~v88(constB7, bitIndex0))))))),
% 16.63/11.89 inference(monotonicity,[status(thm)],[29268])).
% 16.63/11.89 tff(29270,plain,
% 16.63/11.89 (((~![VarCurr: $i] : (v140(VarCurr) <=> (~(v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex0)))))) | (v140(constB7) <=> (~(v88(constB7, bitIndex1) | v88(constB7, bitIndex2) | (~v88(constB7, bitIndex0)))))) <=> ((~![VarCurr: $i] : (v140(VarCurr) <=> (~(v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex0)))))) | (v140(constB7) <=> (~(v88(constB7, bitIndex2) | v88(constB7, bitIndex1) | (~v88(constB7, bitIndex0))))))),
% 16.63/11.89 inference(transitivity,[status(thm)],[29269, 29267])).
% 16.63/11.89 tff(29271,plain,
% 16.63/11.89 ((~![VarCurr: $i] : (v140(VarCurr) <=> (~(v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex0)))))) | (v140(constB7) <=> (~(v88(constB7, bitIndex1) | v88(constB7, bitIndex2) | (~v88(constB7, bitIndex0)))))),
% 16.63/11.89 inference(quant_inst,[status(thm)],[])).
% 16.63/11.89 tff(29272,plain,
% 16.63/11.89 ((~![VarCurr: $i] : (v140(VarCurr) <=> (~(v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex0)))))) | (v140(constB7) <=> (~(v88(constB7, bitIndex2) | v88(constB7, bitIndex1) | (~v88(constB7, bitIndex0)))))),
% 16.63/11.89 inference(modus_ponens,[status(thm)],[29271, 29270])).
% 16.63/11.89 tff(29273,plain,
% 16.63/11.89 (v140(constB7) <=> (~(v88(constB7, bitIndex2) | v88(constB7, bitIndex1) | (~v88(constB7, bitIndex0))))),
% 16.63/11.89 inference(unit_resolution,[status(thm)],[29272, 13704])).
% 16.63/11.89 tff(29274,plain,
% 16.63/11.89 (((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | ((~less_3(bitIndex2)) | (v88(constB7, bitIndex2) <=> v90(constB7, bitIndex2)))) <=> ((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | (~less_3(bitIndex2)) | (v88(constB7, bitIndex2) <=> v90(constB7, bitIndex2)))),
% 16.63/11.89 inference(rewrite,[status(thm)],[])).
% 16.63/11.89 tff(29275,plain,
% 16.63/11.89 ((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | ((~less_3(bitIndex2)) | (v88(constB7, bitIndex2) <=> v90(constB7, bitIndex2)))),
% 16.63/11.89 inference(quant_inst,[status(thm)],[])).
% 16.63/11.89 tff(29276,plain,
% 16.63/11.89 ((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | (~less_3(bitIndex2)) | (v88(constB7, bitIndex2) <=> v90(constB7, bitIndex2))),
% 16.63/11.89 inference(modus_ponens,[status(thm)],[29275, 29274])).
% 16.63/11.89 tff(29277,plain,
% 16.63/11.89 (v88(constB7, bitIndex2) <=> v90(constB7, bitIndex2)),
% 16.63/11.89 inference(unit_resolution,[status(thm)],[29276, 413, 410])).
% 16.63/11.89 tff(29278,plain,
% 16.63/11.89 ((~(v88(constB7, bitIndex2) <=> v90(constB7, bitIndex2))) | (~v88(constB7, bitIndex2)) | v90(constB7, bitIndex2)),
% 16.63/11.89 inference(tautology,[status(thm)],[])).
% 16.63/11.89 tff(29279,plain,
% 16.63/11.89 (~v88(constB7, bitIndex2)),
% 16.63/11.89 inference(unit_resolution,[status(thm)],[29278, 5636, 29277])).
% 16.63/11.89 tff(29280,plain,
% 16.63/11.89 (((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | ((~less_3(bitIndex0)) | (v88(constB7, bitIndex0) <=> v90(constB7, bitIndex0)))) <=> ((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | (~less_3(bitIndex0)) | (v88(constB7, bitIndex0) <=> v90(constB7, bitIndex0)))),
% 16.63/11.89 inference(rewrite,[status(thm)],[])).
% 16.63/11.89 tff(29281,plain,
% 16.63/11.89 ((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | ((~less_3(bitIndex0)) | (v88(constB7, bitIndex0) <=> v90(constB7, bitIndex0)))),
% 16.63/11.89 inference(quant_inst,[status(thm)],[])).
% 16.63/11.89 tff(29282,plain,
% 16.63/11.89 ((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | (~less_3(bitIndex0)) | (v88(constB7, bitIndex0) <=> v90(constB7, bitIndex0))),
% 16.63/11.89 inference(modus_ponens,[status(thm)],[29281, 29280])).
% 16.63/11.89 tff(29283,plain,
% 16.63/11.89 (v88(constB7, bitIndex0) <=> v90(constB7, bitIndex0)),
% 16.63/11.89 inference(unit_resolution,[status(thm)],[29282, 5004, 410])).
% 16.63/11.89 tff(29284,plain,
% 16.63/11.89 ((~(v88(constB7, bitIndex0) <=> v90(constB7, bitIndex0))) | v88(constB7, bitIndex0) | (~v90(constB7, bitIndex0))),
% 16.63/11.89 inference(tautology,[status(thm)],[])).
% 16.63/11.89 tff(29285,plain,
% 16.63/11.89 (v88(constB7, bitIndex0)),
% 16.63/11.89 inference(unit_resolution,[status(thm)],[29284, 5670, 29283])).
% 16.63/11.89 tff(29286,plain,
% 16.63/11.89 (((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | ((~less_3(bitIndex1)) | (v88(constB7, bitIndex1) <=> v90(constB7, bitIndex1)))) <=> ((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | (~less_3(bitIndex1)) | (v88(constB7, bitIndex1) <=> v90(constB7, bitIndex1)))),
% 16.63/11.89 inference(rewrite,[status(thm)],[])).
% 16.63/11.89 tff(29287,plain,
% 16.63/11.89 ((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | ((~less_3(bitIndex1)) | (v88(constB7, bitIndex1) <=> v90(constB7, bitIndex1)))),
% 16.63/11.89 inference(quant_inst,[status(thm)],[])).
% 16.63/11.89 tff(29288,plain,
% 16.63/11.89 ((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | (~less_3(bitIndex1)) | (v88(constB7, bitIndex1) <=> v90(constB7, bitIndex1))),
% 16.63/11.89 inference(modus_ponens,[status(thm)],[29287, 29286])).
% 16.63/11.89 tff(29289,plain,
% 16.63/11.89 (v88(constB7, bitIndex1) <=> v90(constB7, bitIndex1)),
% 16.63/11.89 inference(unit_resolution,[status(thm)],[29288, 5017, 410])).
% 16.63/11.89 tff(29290,plain,
% 16.63/11.89 ((~(v88(constB7, bitIndex1) <=> v90(constB7, bitIndex1))) | (~v88(constB7, bitIndex1)) | v90(constB7, bitIndex1)),
% 16.63/11.89 inference(tautology,[status(thm)],[])).
% 16.63/11.89 tff(29291,plain,
% 16.63/11.89 (~v88(constB7, bitIndex1)),
% 16.63/11.89 inference(unit_resolution,[status(thm)],[29290, 5704, 29289])).
% 16.63/11.89 tff(29292,plain,
% 16.63/11.89 ((~(v88(constB7, bitIndex2) | v88(constB7, bitIndex1) | (~v88(constB7, bitIndex0)))) | v88(constB7, bitIndex2) | v88(constB7, bitIndex1) | (~v88(constB7, bitIndex0))),
% 16.63/11.89 inference(tautology,[status(thm)],[])).
% 16.63/11.89 tff(29293,plain,
% 16.63/11.89 (~(v88(constB7, bitIndex2) | v88(constB7, bitIndex1) | (~v88(constB7, bitIndex0)))),
% 16.63/11.89 inference(unit_resolution,[status(thm)],[29292, 29291, 29285, 29279])).
% 16.63/11.89 tff(29294,plain,
% 16.63/11.89 ((~(v140(constB7) <=> (~(v88(constB7, bitIndex2) | v88(constB7, bitIndex1) | (~v88(constB7, bitIndex0)))))) | v140(constB7) | (v88(constB7, bitIndex2) | v88(constB7, bitIndex1) | (~v88(constB7, bitIndex0)))),
% 16.63/11.89 inference(tautology,[status(thm)],[])).
% 16.63/11.89 tff(29295,plain,
% 16.63/11.89 (v140(constB7)),
% 16.63/11.89 inference(unit_resolution,[status(thm)],[29294, 29293, 29273])).
% 16.63/11.89 tff(29296,plain,
% 16.63/11.89 ((v139(constB7) | v140(constB7)) | (~v140(constB7))),
% 16.63/11.89 inference(tautology,[status(thm)],[])).
% 16.63/11.89 tff(29297,plain,
% 16.63/11.89 (v139(constB7) | v140(constB7)),
% 16.63/11.89 inference(unit_resolution,[status(thm)],[29296, 29295])).
% 16.63/11.89 tff(29298,plain,
% 16.63/11.89 ((~(v151(constB7) <=> (v139(constB7) | v140(constB7)))) | v151(constB7) | (~(v139(constB7) | v140(constB7)))),
% 16.63/11.89 inference(tautology,[status(thm)],[])).
% 16.63/11.89 tff(29299,plain,
% 16.63/11.89 (v151(constB7)),
% 16.63/11.89 inference(unit_resolution,[status(thm)],[29298, 29297, 29266])).
% 16.63/11.89 tff(29300,plain,
% 16.63/11.89 ((v141(constB7) | v151(constB7)) | (~v151(constB7))),
% 16.63/11.89 inference(tautology,[status(thm)],[])).
% 16.63/11.89 tff(29301,plain,
% 16.63/11.89 (v141(constB7) | v151(constB7)),
% 16.63/11.89 inference(unit_resolution,[status(thm)],[29300, 29299])).
% 16.63/11.89 tff(29302,plain,
% 16.63/11.89 ((~(v150(constB7) <=> (v141(constB7) | v151(constB7)))) | v150(constB7) | (~(v141(constB7) | v151(constB7)))),
% 16.63/11.89 inference(tautology,[status(thm)],[])).
% 16.63/11.89 tff(29303,plain,
% 16.63/11.89 (v150(constB7)),
% 16.63/11.89 inference(unit_resolution,[status(thm)],[29302, 29301, 29264])).
% 16.63/11.89 tff(29304,plain,
% 16.63/11.89 ((v142(constB7) | v150(constB7)) | (~v150(constB7))),
% 16.63/11.89 inference(tautology,[status(thm)],[])).
% 16.63/11.89 tff(29305,plain,
% 16.63/11.89 (v142(constB7) | v150(constB7)),
% 16.63/11.89 inference(unit_resolution,[status(thm)],[29304, 29303])).
% 16.63/11.89 tff(29306,plain,
% 16.63/11.89 ((~(v171(constB7) <=> (v142(constB7) | v150(constB7)))) | v171(constB7) | (~(v142(constB7) | v150(constB7)))),
% 16.63/11.89 inference(tautology,[status(thm)],[])).
% 16.63/11.89 tff(29307,plain,
% 16.63/11.89 (v171(constB7)),
% 16.63/11.89 inference(unit_resolution,[status(thm)],[29306, 29305, 29262])).
% 16.63/11.89 tff(29308,plain,
% 16.63/11.89 (((~![VarCurr: $i] : ((~v171(VarCurr)) | (~v170(VarCurr)))) | ((~v170(constB7)) | (~v171(constB7)))) <=> ((~![VarCurr: $i] : ((~v171(VarCurr)) | (~v170(VarCurr)))) | (~v170(constB7)) | (~v171(constB7)))),
% 16.63/11.89 inference(rewrite,[status(thm)],[])).
% 16.63/11.89 tff(29309,plain,
% 16.63/11.89 (((~v171(constB7)) | (~v170(constB7))) <=> ((~v170(constB7)) | (~v171(constB7)))),
% 16.63/11.89 inference(rewrite,[status(thm)],[])).
% 16.63/11.89 tff(29310,plain,
% 16.63/11.89 (((~![VarCurr: $i] : ((~v171(VarCurr)) | (~v170(VarCurr)))) | ((~v171(constB7)) | (~v170(constB7)))) <=> ((~![VarCurr: $i] : ((~v171(VarCurr)) | (~v170(VarCurr)))) | ((~v170(constB7)) | (~v171(constB7))))),
% 16.63/11.89 inference(monotonicity,[status(thm)],[29309])).
% 16.63/11.89 tff(29311,plain,
% 16.63/11.89 (((~![VarCurr: $i] : ((~v171(VarCurr)) | (~v170(VarCurr)))) | ((~v171(constB7)) | (~v170(constB7)))) <=> ((~![VarCurr: $i] : ((~v171(VarCurr)) | (~v170(VarCurr)))) | (~v170(constB7)) | (~v171(constB7)))),
% 16.63/11.89 inference(transitivity,[status(thm)],[29310, 29308])).
% 16.63/11.89 tff(29312,plain,
% 16.63/11.89 ((~![VarCurr: $i] : ((~v171(VarCurr)) | (~v170(VarCurr)))) | ((~v171(constB7)) | (~v170(constB7)))),
% 16.63/11.89 inference(quant_inst,[status(thm)],[])).
% 16.63/11.89 tff(29313,plain,
% 16.63/11.89 ((~![VarCurr: $i] : ((~v171(VarCurr)) | (~v170(VarCurr)))) | (~v170(constB7)) | (~v171(constB7))),
% 16.63/11.89 inference(modus_ponens,[status(thm)],[29312, 29311])).
% 16.63/11.89 tff(29314,plain,
% 16.63/11.89 ((~v170(constB7)) | (~v171(constB7))),
% 16.63/11.89 inference(unit_resolution,[status(thm)],[29313, 13061])).
% 16.63/11.89 tff(29315,plain,
% 16.63/11.89 (~v170(constB7)),
% 16.63/11.89 inference(unit_resolution,[status(thm)],[29314, 29307])).
% 16.63/11.89 tff(29316,plain,
% 16.63/11.89 ((~![VarCurr: $i] : (v166(VarCurr) <=> (v145(VarCurr) | v167(VarCurr)))) | (v166(constB7) <=> (v145(constB7) | v167(constB7)))),
% 16.63/11.89 inference(quant_inst,[status(thm)],[])).
% 16.63/11.89 tff(29317,plain,
% 16.63/11.89 (v166(constB7) <=> (v145(constB7) | v167(constB7))),
% 16.63/11.89 inference(unit_resolution,[status(thm)],[29316, 13079])).
% 16.63/11.89 tff(29318,plain,
% 16.63/11.89 ((~![VarCurr: $i] : (v167(VarCurr) <=> (v142(VarCurr) | v168(VarCurr)))) | (v167(constB7) <=> (v142(constB7) | v168(constB7)))),
% 16.63/11.89 inference(quant_inst,[status(thm)],[])).
% 16.63/11.89 tff(29319,plain,
% 16.63/11.89 (v167(constB7) <=> (v142(constB7) | v168(constB7))),
% 16.63/11.89 inference(unit_resolution,[status(thm)],[29318, 13091])).
% 16.63/11.89 tff(29320,plain,
% 16.63/11.89 ((~![VarCurr: $i] : (v168(VarCurr) <=> (v141(VarCurr) | v169(VarCurr)))) | (v168(constB7) <=> (v141(constB7) | v169(constB7)))),
% 16.63/11.89 inference(quant_inst,[status(thm)],[])).
% 16.63/11.89 tff(29321,plain,
% 16.63/11.89 (v168(constB7) <=> (v141(constB7) | v169(constB7))),
% 16.63/11.89 inference(unit_resolution,[status(thm)],[29320, 20513])).
% 16.63/11.89 tff(29322,plain,
% 16.63/11.89 ((~![VarCurr: $i] : (v169(VarCurr) <=> (v139(VarCurr) | v140(VarCurr)))) | (v169(constB7) <=> (v139(constB7) | v140(constB7)))),
% 16.63/11.89 inference(quant_inst,[status(thm)],[])).
% 16.63/11.89 tff(29323,plain,
% 16.63/11.89 (v169(constB7) <=> (v139(constB7) | v140(constB7))),
% 16.63/11.89 inference(unit_resolution,[status(thm)],[29322, 20522])).
% 16.63/11.89 tff(29324,plain,
% 16.63/11.89 ((~(v169(constB7) <=> (v139(constB7) | v140(constB7)))) | v169(constB7) | (~(v139(constB7) | v140(constB7)))),
% 16.63/11.89 inference(tautology,[status(thm)],[])).
% 16.63/11.89 tff(29325,plain,
% 16.63/11.89 (v169(constB7)),
% 16.63/11.89 inference(unit_resolution,[status(thm)],[29324, 29297, 29323])).
% 16.63/11.89 tff(29326,plain,
% 16.63/11.89 ((v141(constB7) | v169(constB7)) | (~v169(constB7))),
% 16.63/11.89 inference(tautology,[status(thm)],[])).
% 16.63/11.89 tff(29327,plain,
% 16.63/11.89 (v141(constB7) | v169(constB7)),
% 16.63/11.89 inference(unit_resolution,[status(thm)],[29326, 29325])).
% 16.63/11.89 tff(29328,plain,
% 16.63/11.89 ((~(v168(constB7) <=> (v141(constB7) | v169(constB7)))) | v168(constB7) | (~(v141(constB7) | v169(constB7)))),
% 16.63/11.89 inference(tautology,[status(thm)],[])).
% 16.63/11.89 tff(29329,plain,
% 16.63/11.89 (v168(constB7)),
% 16.63/11.89 inference(unit_resolution,[status(thm)],[29328, 29327, 29321])).
% 16.63/11.89 tff(29330,plain,
% 16.63/11.89 ((v142(constB7) | v168(constB7)) | (~v168(constB7))),
% 16.63/11.89 inference(tautology,[status(thm)],[])).
% 16.63/11.89 tff(29331,plain,
% 16.63/11.89 (v142(constB7) | v168(constB7)),
% 16.63/11.89 inference(unit_resolution,[status(thm)],[29330, 29329])).
% 16.63/11.89 tff(29332,plain,
% 16.63/11.89 ((~(v167(constB7) <=> (v142(constB7) | v168(constB7)))) | v167(constB7) | (~(v142(constB7) | v168(constB7)))),
% 16.63/11.89 inference(tautology,[status(thm)],[])).
% 16.63/11.89 tff(29333,plain,
% 16.63/11.89 (v167(constB7)),
% 16.63/11.89 inference(unit_resolution,[status(thm)],[29332, 29331, 29319])).
% 16.63/11.89 tff(29334,plain,
% 16.63/11.89 ((v145(constB7) | v167(constB7)) | (~v167(constB7))),
% 16.63/11.89 inference(tautology,[status(thm)],[])).
% 16.63/11.89 tff(29335,plain,
% 16.63/11.89 (v145(constB7) | v167(constB7)),
% 16.63/11.89 inference(unit_resolution,[status(thm)],[29334, 29333])).
% 16.63/11.89 tff(29336,plain,
% 16.63/11.89 ((~(v166(constB7) <=> (v145(constB7) | v167(constB7)))) | v166(constB7) | (~(v145(constB7) | v167(constB7)))),
% 16.63/11.89 inference(tautology,[status(thm)],[])).
% 16.63/11.89 tff(29337,plain,
% 16.63/11.89 (v166(constB7)),
% 16.63/11.89 inference(unit_resolution,[status(thm)],[29336, 29335, 29317])).
% 16.63/11.89 tff(29338,plain,
% 16.63/11.89 (((~![VarNext: $i] : ((~v166(VarNext)) | (v163(VarNext) <=> v170(VarNext)))) | ((~v166(constB7)) | (v163(constB7) <=> v170(constB7)))) <=> ((~![VarNext: $i] : ((~v166(VarNext)) | (v163(VarNext) <=> v170(VarNext)))) | (~v166(constB7)) | (v163(constB7) <=> v170(constB7)))),
% 16.63/11.89 inference(rewrite,[status(thm)],[])).
% 16.63/11.89 tff(29339,plain,
% 16.63/11.89 ((~![VarNext: $i] : ((~v166(VarNext)) | (v163(VarNext) <=> v170(VarNext)))) | ((~v166(constB7)) | (v163(constB7) <=> v170(constB7)))),
% 16.63/11.89 inference(quant_inst,[status(thm)],[])).
% 16.63/11.89 tff(29340,plain,
% 16.63/11.89 ((~![VarNext: $i] : ((~v166(VarNext)) | (v163(VarNext) <=> v170(VarNext)))) | (~v166(constB7)) | (v163(constB7) <=> v170(constB7))),
% 16.63/11.89 inference(modus_ponens,[status(thm)],[29339, 29338])).
% 16.63/11.89 tff(29341,plain,
% 16.63/11.89 ((~v166(constB7)) | (v163(constB7) <=> v170(constB7))),
% 16.63/11.89 inference(unit_resolution,[status(thm)],[29340, 13111])).
% 16.63/11.89 tff(29342,plain,
% 16.63/11.89 (v163(constB7) <=> v170(constB7)),
% 16.63/11.89 inference(unit_resolution,[status(thm)],[29341, 29337])).
% 16.63/11.89 tff(29343,plain,
% 16.63/11.89 ((~(v163(constB7) <=> v170(constB7))) | (~v163(constB7)) | v170(constB7)),
% 16.63/11.89 inference(tautology,[status(thm)],[])).
% 16.63/11.89 tff(29344,plain,
% 16.63/11.89 (~v163(constB7)),
% 16.63/11.89 inference(unit_resolution,[status(thm)],[29343, 29342, 29315])).
% 16.63/11.89 tff(29345,plain,
% 16.63/11.89 ((~(v161(constB7) <=> v163(constB7))) | (~v161(constB7)) | v163(constB7)),
% 16.63/11.89 inference(tautology,[status(thm)],[])).
% 16.63/11.89 tff(29346,plain,
% 16.63/11.89 (~v161(constB7)),
% 16.63/11.89 inference(unit_resolution,[status(thm)],[29345, 29344, 29260])).
% 16.63/11.89 tff(29347,plain,
% 16.63/11.89 ((~(v186(constB8) <=> v161(constB7))) | (~v186(constB8)) | v161(constB7)),
% 16.63/11.89 inference(tautology,[status(thm)],[])).
% 16.63/11.89 tff(29348,plain,
% 16.63/11.89 (~v186(constB8)),
% 16.63/11.89 inference(unit_resolution,[status(thm)],[29347, 29346, 29258])).
% 16.63/11.89 tff(29349,plain,
% 16.63/11.89 ((~(v159(constB8) <=> v186(constB8))) | (~v159(constB8)) | v186(constB8)),
% 16.63/11.89 inference(tautology,[status(thm)],[])).
% 16.63/11.89 tff(29350,plain,
% 16.63/11.89 (~v159(constB8)),
% 16.63/11.89 inference(unit_resolution,[status(thm)],[29349, 29348, 29254])).
% 16.63/11.89 tff(29351,plain,
% 16.63/11.89 ((~(v159(constB9) <=> v159(constB8))) | (~v159(constB9)) | v159(constB8)),
% 16.63/11.89 inference(tautology,[status(thm)],[])).
% 16.63/11.89 tff(29352,plain,
% 16.63/11.89 (~v159(constB9)),
% 16.63/11.89 inference(unit_resolution,[status(thm)],[29351, 29350, 29226])).
% 16.63/11.89 tff(29353,plain,
% 16.63/11.89 (((~v159(constB9)) | (~v161(constB9))) | v159(constB9)),
% 16.63/11.89 inference(tautology,[status(thm)],[])).
% 16.63/11.89 tff(29354,plain,
% 16.63/11.89 ((~v159(constB9)) | (~v161(constB9))),
% 16.63/11.89 inference(unit_resolution,[status(thm)],[29353, 29352])).
% 16.63/11.89 tff(29355,plain,
% 16.63/11.89 ((~(v201(constB9) <=> (~((~v159(constB9)) | (~v161(constB9)))))) | (~v201(constB9)) | (~((~v159(constB9)) | (~v161(constB9))))),
% 16.63/11.89 inference(tautology,[status(thm)],[])).
% 16.63/11.89 tff(29356,plain,
% 16.63/11.89 (~v201(constB9)),
% 16.63/11.89 inference(unit_resolution,[status(thm)],[29355, 29354, 29200])).
% 16.63/11.89 tff(29357,plain,
% 16.63/11.89 (((~v197(constB9)) | (~v201(constB9))) | v201(constB9)),
% 16.63/11.89 inference(tautology,[status(thm)],[])).
% 16.63/11.89 tff(29358,plain,
% 16.63/11.89 ((~v197(constB9)) | (~v201(constB9))),
% 16.63/11.89 inference(unit_resolution,[status(thm)],[29357, 29356])).
% 16.63/11.89 tff(29359,plain,
% 16.63/11.89 ((~(v200(constB9) <=> (~((~v197(constB9)) | (~v201(constB9)))))) | (~v200(constB9)) | (~((~v197(constB9)) | (~v201(constB9))))),
% 16.63/11.89 inference(tautology,[status(thm)],[])).
% 16.63/11.89 tff(29360,plain,
% 16.63/11.89 (~v200(constB9)),
% 16.63/11.89 inference(unit_resolution,[status(thm)],[29359, 29358, 29198])).
% 16.63/11.89 tff(29361,plain,
% 16.63/11.89 (((~v199(constB9)) | (~v200(constB9))) | v200(constB9)),
% 16.63/11.89 inference(tautology,[status(thm)],[])).
% 16.63/11.89 tff(29362,plain,
% 16.63/11.89 ((~v199(constB9)) | (~v200(constB9))),
% 16.63/11.89 inference(unit_resolution,[status(thm)],[29361, 29360])).
% 16.63/11.89 tff(29363,plain,
% 16.63/11.89 ((~(v198(constB9) <=> (~((~v199(constB9)) | (~v200(constB9)))))) | (~v198(constB9)) | (~((~v199(constB9)) | (~v200(constB9))))),
% 16.63/11.89 inference(tautology,[status(thm)],[])).
% 16.63/11.89 tff(29364,plain,
% 16.63/11.89 (~v198(constB9)),
% 16.63/11.89 inference(unit_resolution,[status(thm)],[29363, 29362, 29196])).
% 16.63/11.89 tff(29365,plain,
% 16.63/11.89 ((~(v194(constB9) | v198(constB9))) | v194(constB9) | v198(constB9)),
% 16.63/11.89 inference(tautology,[status(thm)],[])).
% 16.63/11.89 tff(29366,plain,
% 16.63/11.89 (~(v194(constB9) | v198(constB9))),
% 16.63/11.89 inference(unit_resolution,[status(thm)],[29365, 29364, 29194])).
% 16.63/11.89 tff(29367,plain,
% 16.63/11.89 ((~(v191(constB9) <=> (v194(constB9) | v198(constB9)))) | (~v191(constB9)) | (v194(constB9) | v198(constB9))),
% 16.63/11.89 inference(tautology,[status(thm)],[])).
% 16.63/11.89 tff(29368,plain,
% 16.63/11.89 (~v191(constB9)),
% 16.63/11.89 inference(unit_resolution,[status(thm)],[29367, 29366, 29121])).
% 16.63/11.89 tff(29369,plain,
% 16.63/11.89 ((~(v193(constB10) <=> v191(constB9))) | (~v193(constB10)) | v191(constB9)),
% 16.63/11.89 inference(tautology,[status(thm)],[])).
% 16.63/11.89 tff(29370,plain,
% 16.63/11.89 (~v193(constB10)),
% 16.63/11.89 inference(unit_resolution,[status(thm)],[29369, 29368, 29119])).
% 16.63/11.89 tff(29371,plain,
% 16.63/11.89 ((~(v157(constB10) <=> v193(constB10))) | (~v157(constB10)) | v193(constB10)),
% 16.63/11.89 inference(tautology,[status(thm)],[])).
% 16.63/11.89 tff(29372,plain,
% 16.63/11.89 (~v157(constB10)),
% 16.63/11.89 inference(unit_resolution,[status(thm)],[29371, 29370, 29115])).
% 16.63/11.89 tff(29373,plain,
% 16.63/11.89 (((~v157(constB10)) | (~v195(constB10))) | v157(constB10)),
% 16.63/11.89 inference(tautology,[status(thm)],[])).
% 16.63/11.89 tff(29374,plain,
% 16.63/11.89 ((~v157(constB10)) | (~v195(constB10))),
% 16.63/11.89 inference(unit_resolution,[status(thm)],[29373, 29372])).
% 16.63/11.89 tff(29375,plain,
% 16.63/11.89 ((~(v194(constB10) <=> (~((~v157(constB10)) | (~v195(constB10)))))) | (~v194(constB10)) | (~((~v157(constB10)) | (~v195(constB10))))),
% 16.63/11.89 inference(tautology,[status(thm)],[])).
% 16.63/11.89 tff(29376,plain,
% 16.63/11.89 (~v194(constB10)),
% 16.63/11.89 inference(unit_resolution,[status(thm)],[29375, 29374, 29113])).
% 16.63/11.89 tff(29377,plain,
% 16.63/11.89 ((~(v194(constB10) | v198(constB10))) | v194(constB10) | v198(constB10)),
% 16.63/11.89 inference(tautology,[status(thm)],[])).
% 16.63/11.89 tff(29378,plain,
% 16.63/11.89 (~(v194(constB10) | v198(constB10))),
% 16.63/11.89 inference(unit_resolution,[status(thm)],[29377, 29376, 29106])).
% 16.63/11.89 tff(29379,plain,
% 16.63/11.89 ((~(v191(constB10) <=> (v194(constB10) | v198(constB10)))) | (~v191(constB10)) | (v194(constB10) | v198(constB10))),
% 16.63/11.89 inference(tautology,[status(thm)],[])).
% 16.63/11.89 tff(29380,plain,
% 16.63/11.89 (~v191(constB10)),
% 16.63/11.89 inference(unit_resolution,[status(thm)],[29379, 29378, 29081])).
% 16.63/11.89 tff(29381,plain,
% 16.63/11.89 ((~(v193(constB11) <=> v191(constB10))) | (~v193(constB11)) | v191(constB10)),
% 16.63/11.89 inference(tautology,[status(thm)],[])).
% 16.63/11.89 tff(29382,plain,
% 16.63/11.89 (~v193(constB11)),
% 16.63/11.89 inference(unit_resolution,[status(thm)],[29381, 29380, 29079])).
% 16.63/11.89 tff(29383,plain,
% 16.63/11.89 ($false),
% 16.63/11.89 inference(unit_resolution,[status(thm)],[29382, 29075])).
% 16.63/11.89 tff(29384,plain,(~(constB11 = VarCurr!0)), inference(lemma,lemma(discharge,[]))).
% 16.63/11.89 tff(29385,assumption,(constB147 = VarCurr!0), introduced(assumption)).
% 16.63/11.89 tff(29386,plain,
% 16.63/11.89 (v193(constB147) <=> v193(VarCurr!0)),
% 16.63/11.89 inference(monotonicity,[status(thm)],[29385])).
% 16.63/11.89 tff(29387,plain,
% 16.63/11.89 (v193(VarCurr!0) <=> v193(constB147)),
% 16.63/11.89 inference(symmetry,[status(thm)],[29386])).
% 16.63/11.89 tff(29388,plain,
% 16.63/11.89 (v193(constB147)),
% 16.63/11.89 inference(modus_ponens,[status(thm)],[59, 29387])).
% 16.63/11.89 tff(29389,plain,
% 16.63/11.89 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v193(VarNext) <=> v191(VarCurr)))) | ((~nextState(constB146, constB147)) | (v193(constB147) <=> v191(constB146)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v193(VarNext) <=> v191(VarCurr)))) | (~nextState(constB146, constB147)) | (v193(constB147) <=> v191(constB146)))),
% 16.63/11.89 inference(rewrite,[status(thm)],[])).
% 16.63/11.89 tff(29390,plain,
% 16.63/11.89 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v193(VarNext) <=> v191(VarCurr)))) | ((~nextState(constB146, constB147)) | (v193(constB147) <=> v191(constB146)))),
% 16.63/11.89 inference(quant_inst,[status(thm)],[])).
% 16.63/11.89 tff(29391,plain,
% 16.63/11.89 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v193(VarNext) <=> v191(VarCurr)))) | (~nextState(constB146, constB147)) | (v193(constB147) <=> v191(constB146))),
% 16.63/11.90 inference(modus_ponens,[status(thm)],[29390, 29389])).
% 16.63/11.90 tff(29392,plain,
% 16.63/11.90 (v193(constB147) <=> v191(constB146)),
% 16.63/11.90 inference(unit_resolution,[status(thm)],[29391, 13718, 70])).
% 16.63/11.90 tff(29393,plain,
% 16.63/11.90 ((~![VarCurr: $i] : (v191(VarCurr) <=> (v194(VarCurr) | v198(VarCurr)))) | (v191(constB146) <=> (v194(constB146) | v198(constB146)))),
% 16.63/11.90 inference(quant_inst,[status(thm)],[])).
% 16.63/11.90 tff(29394,plain,
% 16.63/11.90 (v191(constB146) <=> (v194(constB146) | v198(constB146))),
% 16.63/11.90 inference(unit_resolution,[status(thm)],[29393, 84])).
% 16.63/11.90 tff(29395,plain,
% 16.63/11.90 ((~![VarCurr: $i] : (v198(VarCurr) <=> (~((~v199(VarCurr)) | (~v200(VarCurr)))))) | (v198(constB146) <=> (~((~v199(constB146)) | (~v200(constB146)))))),
% 16.63/11.90 inference(quant_inst,[status(thm)],[])).
% 16.63/11.90 tff(29396,plain,
% 16.63/11.90 (v198(constB146) <=> (~((~v199(constB146)) | (~v200(constB146))))),
% 16.63/11.90 inference(unit_resolution,[status(thm)],[29395, 96])).
% 16.63/11.90 tff(29397,plain,
% 16.63/11.90 ((~![VarCurr: $i] : (v200(VarCurr) <=> (~((~v197(VarCurr)) | (~v201(VarCurr)))))) | (v200(constB146) <=> (~((~v197(constB146)) | (~v201(constB146)))))),
% 16.63/11.90 inference(quant_inst,[status(thm)],[])).
% 16.63/11.90 tff(29398,plain,
% 16.63/11.90 (v200(constB146) <=> (~((~v197(constB146)) | (~v201(constB146))))),
% 16.63/11.90 inference(unit_resolution,[status(thm)],[29397, 108])).
% 16.63/11.90 tff(29399,plain,
% 16.63/11.90 ((~![VarCurr: $i] : (v197(VarCurr) <=> (~((~v39(VarCurr)) | (~v9(VarCurr)))))) | (v197(constB146) <=> (~((~v39(constB146)) | (~v9(constB146)))))),
% 16.63/11.90 inference(quant_inst,[status(thm)],[])).
% 16.63/11.90 tff(29400,plain,
% 16.63/11.90 (v197(constB146) <=> (~((~v39(constB146)) | (~v9(constB146))))),
% 16.63/11.90 inference(unit_resolution,[status(thm)],[29399, 120])).
% 16.63/11.90 tff(29401,plain,
% 16.63/11.90 ((~![VarCurr: $i] : ((~v39(VarCurr)) <=> v1(VarCurr))) | ((~v39(constB146)) <=> v1(constB146))),
% 16.63/11.90 inference(quant_inst,[status(thm)],[])).
% 16.63/11.90 tff(29402,plain,
% 16.63/11.90 ((~v39(constB146)) <=> v1(constB146)),
% 16.63/11.90 inference(unit_resolution,[status(thm)],[29401, 129])).
% 16.63/11.90 tff(29403,plain,
% 16.63/11.90 ((~((~v39(constB146)) <=> v1(constB146))) | (~v39(constB146)) | (~v1(constB146))),
% 16.63/11.90 inference(tautology,[status(thm)],[])).
% 16.63/11.90 tff(29404,plain,
% 16.63/11.90 ((~((~v39(constB146)) <=> v1(constB146))) | (~v39(constB146))),
% 16.63/11.90 inference(unit_resolution,[status(thm)],[29403, 13780])).
% 16.63/11.90 tff(29405,plain,
% 16.63/11.90 (~v39(constB146)),
% 16.63/11.90 inference(unit_resolution,[status(thm)],[29404, 29402])).
% 16.63/11.90 tff(29406,plain,
% 16.63/11.90 (((~v39(constB146)) | (~v9(constB146))) | v39(constB146)),
% 16.63/11.90 inference(tautology,[status(thm)],[])).
% 16.63/11.90 tff(29407,plain,
% 16.63/11.90 ((~v39(constB146)) | (~v9(constB146))),
% 16.63/11.90 inference(unit_resolution,[status(thm)],[29406, 29405])).
% 16.63/11.90 tff(29408,plain,
% 16.63/11.90 ((~(v197(constB146) <=> (~((~v39(constB146)) | (~v9(constB146)))))) | (~v197(constB146)) | (~((~v39(constB146)) | (~v9(constB146))))),
% 16.63/11.90 inference(tautology,[status(thm)],[])).
% 16.63/11.90 tff(29409,plain,
% 16.63/11.90 ((~(v197(constB146) <=> (~((~v39(constB146)) | (~v9(constB146)))))) | (~v197(constB146))),
% 16.63/11.90 inference(unit_resolution,[status(thm)],[29408, 29407])).
% 16.63/11.90 tff(29410,plain,
% 16.63/11.90 (~v197(constB146)),
% 16.63/11.90 inference(unit_resolution,[status(thm)],[29409, 29400])).
% 16.63/11.90 tff(29411,plain,
% 16.63/11.90 (((~v197(constB146)) | (~v201(constB146))) | v197(constB146)),
% 16.63/11.90 inference(tautology,[status(thm)],[])).
% 16.63/11.90 tff(29412,plain,
% 16.63/11.90 ((~v197(constB146)) | (~v201(constB146))),
% 16.63/11.90 inference(unit_resolution,[status(thm)],[29411, 29410])).
% 16.63/11.90 tff(29413,plain,
% 16.63/11.90 ((~(v200(constB146) <=> (~((~v197(constB146)) | (~v201(constB146)))))) | (~v200(constB146)) | (~((~v197(constB146)) | (~v201(constB146))))),
% 16.63/11.90 inference(tautology,[status(thm)],[])).
% 16.63/11.90 tff(29414,plain,
% 16.63/11.90 ((~(v200(constB146) <=> (~((~v197(constB146)) | (~v201(constB146)))))) | (~v200(constB146))),
% 16.63/11.90 inference(unit_resolution,[status(thm)],[29413, 29412])).
% 16.63/11.90 tff(29415,plain,
% 16.63/11.90 (~v200(constB146)),
% 16.63/11.90 inference(unit_resolution,[status(thm)],[29414, 29398])).
% 16.63/11.90 tff(29416,plain,
% 16.63/11.90 (((~v199(constB146)) | (~v200(constB146))) | v200(constB146)),
% 16.63/11.90 inference(tautology,[status(thm)],[])).
% 16.63/11.90 tff(29417,plain,
% 16.63/11.90 ((~v199(constB146)) | (~v200(constB146))),
% 16.63/11.90 inference(unit_resolution,[status(thm)],[29416, 29415])).
% 16.63/11.90 tff(29418,plain,
% 16.63/11.90 ((~(v198(constB146) <=> (~((~v199(constB146)) | (~v200(constB146)))))) | (~v198(constB146)) | (~((~v199(constB146)) | (~v200(constB146))))),
% 16.63/11.90 inference(tautology,[status(thm)],[])).
% 16.63/11.90 tff(29419,plain,
% 16.63/11.90 (~v198(constB146)),
% 16.63/11.90 inference(unit_resolution,[status(thm)],[29418, 29417, 29396])).
% 16.63/11.90 tff(29420,plain,
% 16.63/11.90 (((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB146) <=> (~((~v157(constB146)) | (~v195(constB146)))))) <=> ((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB146) <=> (~((~v157(constB146)) | (~v195(constB146))))))),
% 16.63/11.90 inference(rewrite,[status(thm)],[])).
% 16.63/11.90 tff(29421,plain,
% 16.63/11.90 ((v194(constB146) <=> (~((~v195(constB146)) | (~v157(constB146))))) <=> (v194(constB146) <=> (~((~v157(constB146)) | (~v195(constB146)))))),
% 16.63/11.90 inference(rewrite,[status(thm)],[])).
% 16.63/11.90 tff(29422,plain,
% 16.63/11.90 (((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB146) <=> (~((~v195(constB146)) | (~v157(constB146)))))) <=> ((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB146) <=> (~((~v157(constB146)) | (~v195(constB146))))))),
% 16.63/11.90 inference(monotonicity,[status(thm)],[29421])).
% 16.63/11.90 tff(29423,plain,
% 16.63/11.90 (((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB146) <=> (~((~v195(constB146)) | (~v157(constB146)))))) <=> ((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB146) <=> (~((~v157(constB146)) | (~v195(constB146))))))),
% 16.63/11.90 inference(transitivity,[status(thm)],[29422, 29420])).
% 16.63/11.90 tff(29424,plain,
% 16.63/11.90 ((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB146) <=> (~((~v195(constB146)) | (~v157(constB146)))))),
% 16.63/11.90 inference(quant_inst,[status(thm)],[])).
% 16.63/11.90 tff(29425,plain,
% 16.63/11.90 ((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB146) <=> (~((~v157(constB146)) | (~v195(constB146)))))),
% 16.63/11.90 inference(modus_ponens,[status(thm)],[29424, 29423])).
% 16.63/11.90 tff(29426,plain,
% 16.63/11.90 (v194(constB146) <=> (~((~v157(constB146)) | (~v195(constB146))))),
% 16.63/11.90 inference(unit_resolution,[status(thm)],[29425, 161])).
% 16.63/11.90 tff(29427,plain,
% 16.63/11.90 ((~![VarNext: $i] : (v157(VarNext) <=> v193(VarNext))) | (v157(constB146) <=> v193(constB146))),
% 16.63/11.90 inference(quant_inst,[status(thm)],[])).
% 16.63/11.90 tff(29428,plain,
% 16.63/11.90 (v157(constB146) <=> v193(constB146)),
% 16.63/11.90 inference(unit_resolution,[status(thm)],[29427, 13])).
% 16.63/11.90 tff(29429,plain,
% 16.63/11.90 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v193(VarNext) <=> v191(VarCurr)))) | ((~nextState(constB145, constB146)) | (v193(constB146) <=> v191(constB145)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v193(VarNext) <=> v191(VarCurr)))) | (~nextState(constB145, constB146)) | (v193(constB146) <=> v191(constB145)))),
% 16.63/11.90 inference(rewrite,[status(thm)],[])).
% 16.63/11.90 tff(29430,plain,
% 16.63/11.90 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v193(VarNext) <=> v191(VarCurr)))) | ((~nextState(constB145, constB146)) | (v193(constB146) <=> v191(constB145)))),
% 16.63/11.90 inference(quant_inst,[status(thm)],[])).
% 16.63/11.90 tff(29431,plain,
% 16.63/11.90 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v193(VarNext) <=> v191(VarCurr)))) | (~nextState(constB145, constB146)) | (v193(constB146) <=> v191(constB145))),
% 16.63/11.90 inference(modus_ponens,[status(thm)],[29430, 29429])).
% 16.63/11.90 tff(29432,plain,
% 16.63/11.90 (v193(constB146) <=> v191(constB145)),
% 16.63/11.90 inference(unit_resolution,[status(thm)],[29431, 13750, 70])).
% 16.63/11.90 tff(29433,plain,
% 16.63/11.90 ((~![VarCurr: $i] : (v191(VarCurr) <=> (v194(VarCurr) | v198(VarCurr)))) | (v191(constB145) <=> (v194(constB145) | v198(constB145)))),
% 16.63/11.90 inference(quant_inst,[status(thm)],[])).
% 16.63/11.90 tff(29434,plain,
% 16.63/11.90 (v191(constB145) <=> (v194(constB145) | v198(constB145))),
% 16.63/11.90 inference(unit_resolution,[status(thm)],[29433, 84])).
% 16.63/11.90 tff(29435,plain,
% 16.63/11.90 (((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB145) <=> (~((~v157(constB145)) | (~v195(constB145)))))) <=> ((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB145) <=> (~((~v157(constB145)) | (~v195(constB145))))))),
% 16.63/11.90 inference(rewrite,[status(thm)],[])).
% 16.63/11.90 tff(29436,plain,
% 16.63/11.90 ((v194(constB145) <=> (~((~v195(constB145)) | (~v157(constB145))))) <=> (v194(constB145) <=> (~((~v157(constB145)) | (~v195(constB145)))))),
% 16.63/11.90 inference(rewrite,[status(thm)],[])).
% 16.63/11.90 tff(29437,plain,
% 16.63/11.90 (((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB145) <=> (~((~v195(constB145)) | (~v157(constB145)))))) <=> ((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB145) <=> (~((~v157(constB145)) | (~v195(constB145))))))),
% 16.63/11.90 inference(monotonicity,[status(thm)],[29436])).
% 16.63/11.90 tff(29438,plain,
% 16.63/11.90 (((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB145) <=> (~((~v195(constB145)) | (~v157(constB145)))))) <=> ((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB145) <=> (~((~v157(constB145)) | (~v195(constB145))))))),
% 16.63/11.90 inference(transitivity,[status(thm)],[29437, 29435])).
% 16.63/11.90 tff(29439,plain,
% 16.63/11.90 ((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB145) <=> (~((~v195(constB145)) | (~v157(constB145)))))),
% 16.63/11.90 inference(quant_inst,[status(thm)],[])).
% 16.63/11.90 tff(29440,plain,
% 16.63/11.90 ((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB145) <=> (~((~v157(constB145)) | (~v195(constB145)))))),
% 16.63/11.90 inference(modus_ponens,[status(thm)],[29439, 29438])).
% 16.63/11.90 tff(29441,plain,
% 16.63/11.90 (v194(constB145) <=> (~((~v157(constB145)) | (~v195(constB145))))),
% 16.63/11.90 inference(unit_resolution,[status(thm)],[29440, 161])).
% 16.63/11.90 tff(29442,plain,
% 16.63/11.90 ((~![VarCurr: $i] : ((~v195(VarCurr)) <=> v196(VarCurr))) | ((~v195(constB145)) <=> v196(constB145))),
% 16.63/11.90 inference(quant_inst,[status(thm)],[])).
% 16.63/11.90 tff(29443,plain,
% 16.63/11.90 ((~v195(constB145)) <=> v196(constB145)),
% 16.63/11.90 inference(unit_resolution,[status(thm)],[29442, 193])).
% 16.63/11.90 tff(29444,plain,
% 16.63/11.90 ((~![VarCurr: $i] : (v196(VarCurr) <=> (v197(VarCurr) | v26(VarCurr)))) | (v196(constB145) <=> (v197(constB145) | v26(constB145)))),
% 16.63/11.90 inference(quant_inst,[status(thm)],[])).
% 16.63/11.90 tff(29445,plain,
% 16.63/11.90 (v196(constB145) <=> (v197(constB145) | v26(constB145))),
% 16.63/11.90 inference(unit_resolution,[status(thm)],[29444, 202])).
% 16.63/11.90 tff(29446,plain,
% 16.63/11.90 ((~![VarCurr: $i] : (v197(VarCurr) <=> (~((~v39(VarCurr)) | (~v9(VarCurr)))))) | (v197(constB145) <=> (~((~v39(constB145)) | (~v9(constB145)))))),
% 16.63/11.90 inference(quant_inst,[status(thm)],[])).
% 16.63/11.90 tff(29447,plain,
% 16.63/11.90 (v197(constB145) <=> (~((~v39(constB145)) | (~v9(constB145))))),
% 16.63/11.90 inference(unit_resolution,[status(thm)],[29446, 120])).
% 16.63/11.90 tff(29448,plain,
% 16.63/11.90 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | ((~nextState(constB145, constB146)) | (v13(constB146) <=> v9(constB145)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | (~nextState(constB145, constB146)) | (v13(constB146) <=> v9(constB145)))),
% 16.63/11.90 inference(rewrite,[status(thm)],[])).
% 16.63/11.90 tff(29449,plain,
% 16.63/11.90 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | ((~nextState(constB145, constB146)) | (v13(constB146) <=> v9(constB145)))),
% 16.63/11.90 inference(quant_inst,[status(thm)],[])).
% 16.63/11.90 tff(29450,plain,
% 16.63/11.90 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | (~nextState(constB145, constB146)) | (v13(constB146) <=> v9(constB145))),
% 16.63/11.90 inference(modus_ponens,[status(thm)],[29449, 29448])).
% 16.63/11.90 tff(29451,plain,
% 16.63/11.90 (v13(constB146) <=> v9(constB145)),
% 16.63/11.90 inference(unit_resolution,[status(thm)],[29450, 13750, 216])).
% 16.63/11.90 tff(29452,plain,
% 16.63/11.90 ((~![VarNext: $i] : (v6(VarNext) <=> v13(VarNext))) | (v6(constB146) <=> v13(constB146))),
% 16.63/11.90 inference(quant_inst,[status(thm)],[])).
% 16.63/11.90 tff(29453,plain,
% 16.63/11.90 (v6(constB146) <=> v13(constB146)),
% 16.63/11.90 inference(unit_resolution,[status(thm)],[29452, 230])).
% 16.63/11.90 tff(29454,plain,
% 16.63/11.90 ((~![VarCurr: $i] : ((~v21(VarCurr)) <=> v6(VarCurr))) | ((~v21(constB146)) <=> v6(constB146))),
% 16.63/11.90 inference(quant_inst,[status(thm)],[])).
% 16.63/11.90 tff(29455,plain,
% 16.63/11.90 ((~v21(constB146)) <=> v6(constB146)),
% 16.63/11.90 inference(unit_resolution,[status(thm)],[29454, 239])).
% 16.63/11.90 tff(29456,plain,
% 16.63/11.90 ((~![VarCurr: $i] : (v19(VarCurr) <=> (v20(VarCurr) | v21(VarCurr)))) | (v19(constB146) <=> (v20(constB146) | v21(constB146)))),
% 16.63/11.90 inference(quant_inst,[status(thm)],[])).
% 16.63/11.90 tff(29457,plain,
% 16.63/11.90 (v19(constB146) <=> (v20(constB146) | v21(constB146))),
% 16.63/11.90 inference(unit_resolution,[status(thm)],[29456, 248])).
% 16.63/11.90 tff(29458,plain,
% 16.63/11.90 ((~![VarCurr: $i] : (v18(VarCurr) <=> (~((~v19(VarCurr)) | (~v22(VarCurr)))))) | (v18(constB146) <=> (~((~v19(constB146)) | (~v22(constB146)))))),
% 16.63/11.90 inference(quant_inst,[status(thm)],[])).
% 16.63/11.90 tff(29459,plain,
% 16.63/11.90 (v18(constB146) <=> (~((~v19(constB146)) | (~v22(constB146))))),
% 16.63/11.90 inference(unit_resolution,[status(thm)],[29458, 260])).
% 16.63/11.90 tff(29460,plain,
% 16.63/11.90 ((~![VarCurr: $i] : ((~v4(VarCurr)) <=> v18(VarCurr))) | ((~v4(constB146)) <=> v18(constB146))),
% 16.63/11.90 inference(quant_inst,[status(thm)],[])).
% 16.63/11.90 tff(29461,plain,
% 16.63/11.90 ((~v4(constB146)) <=> v18(constB146)),
% 16.63/11.90 inference(unit_resolution,[status(thm)],[29460, 269])).
% 16.63/11.90 tff(29462,plain,
% 16.63/11.90 ((~![VarCurr: $i] : v4(VarCurr)) | v4(constB146)),
% 16.63/11.90 inference(quant_inst,[status(thm)],[])).
% 16.63/11.90 tff(29463,plain,
% 16.63/11.90 (v4(constB146)),
% 16.63/11.90 inference(unit_resolution,[status(thm)],[29462, 278])).
% 16.63/11.90 tff(29464,plain,
% 16.63/11.90 ((~((~v4(constB146)) <=> v18(constB146))) | (~v4(constB146)) | (~v18(constB146))),
% 16.63/11.90 inference(tautology,[status(thm)],[])).
% 16.63/11.90 tff(29465,plain,
% 16.63/11.90 (~v18(constB146)),
% 16.63/11.90 inference(unit_resolution,[status(thm)],[29464, 29463, 29461])).
% 16.63/11.90 tff(29466,plain,
% 16.63/11.90 ((~(v18(constB146) <=> (~((~v19(constB146)) | (~v22(constB146)))))) | v18(constB146) | ((~v19(constB146)) | (~v22(constB146)))),
% 16.63/11.90 inference(tautology,[status(thm)],[])).
% 16.63/11.90 tff(29467,plain,
% 16.63/11.90 ((~v19(constB146)) | (~v22(constB146))),
% 16.63/11.90 inference(unit_resolution,[status(thm)],[29466, 29465, 29459])).
% 16.63/11.90 tff(29468,plain,
% 16.63/11.90 ((~![VarCurr: $i] : (v22(VarCurr) <=> (v1(VarCurr) | v6(VarCurr)))) | (v22(constB146) <=> (v1(constB146) | v6(constB146)))),
% 16.63/11.90 inference(quant_inst,[status(thm)],[])).
% 16.63/11.90 tff(29469,plain,
% 16.63/11.90 (v22(constB146) <=> (v1(constB146) | v6(constB146))),
% 16.63/11.90 inference(unit_resolution,[status(thm)],[29468, 291])).
% 16.63/11.90 tff(29470,plain,
% 16.63/11.90 ((v1(constB146) | v6(constB146)) | (~v1(constB146))),
% 16.63/11.90 inference(tautology,[status(thm)],[])).
% 16.63/11.90 tff(29471,plain,
% 16.63/11.90 (v1(constB146) | v6(constB146)),
% 16.63/11.90 inference(unit_resolution,[status(thm)],[29470, 13780])).
% 16.63/11.90 tff(29472,plain,
% 16.63/11.90 ((~(v22(constB146) <=> (v1(constB146) | v6(constB146)))) | v22(constB146) | (~(v1(constB146) | v6(constB146)))),
% 16.63/11.90 inference(tautology,[status(thm)],[])).
% 16.63/11.90 tff(29473,plain,
% 16.63/11.90 ((~(v22(constB146) <=> (v1(constB146) | v6(constB146)))) | v22(constB146)),
% 16.63/11.90 inference(unit_resolution,[status(thm)],[29472, 29471])).
% 16.63/11.90 tff(29474,plain,
% 16.63/11.90 (v22(constB146)),
% 16.63/11.90 inference(unit_resolution,[status(thm)],[29473, 29469])).
% 16.63/11.90 tff(29475,plain,
% 16.63/11.90 ((~((~v19(constB146)) | (~v22(constB146)))) | (~v19(constB146)) | (~v22(constB146))),
% 16.63/11.90 inference(tautology,[status(thm)],[])).
% 16.63/11.90 tff(29476,plain,
% 16.63/11.90 ((~((~v19(constB146)) | (~v22(constB146)))) | (~v19(constB146))),
% 16.63/11.90 inference(unit_resolution,[status(thm)],[29475, 29474])).
% 16.63/11.90 tff(29477,plain,
% 16.63/11.90 (~v19(constB146)),
% 16.63/11.90 inference(unit_resolution,[status(thm)],[29476, 29467])).
% 16.63/11.90 tff(29478,plain,
% 16.63/11.90 ((~(v19(constB146) <=> (v20(constB146) | v21(constB146)))) | v19(constB146) | (~(v20(constB146) | v21(constB146)))),
% 16.63/11.90 inference(tautology,[status(thm)],[])).
% 16.63/11.90 tff(29479,plain,
% 16.63/11.90 (~(v20(constB146) | v21(constB146))),
% 16.63/11.90 inference(unit_resolution,[status(thm)],[29478, 29477, 29457])).
% 16.63/11.90 tff(29480,plain,
% 16.63/11.90 ((v20(constB146) | v21(constB146)) | (~v21(constB146))),
% 16.63/11.90 inference(tautology,[status(thm)],[])).
% 16.63/11.90 tff(29481,plain,
% 16.63/11.90 (~v21(constB146)),
% 16.63/11.90 inference(unit_resolution,[status(thm)],[29480, 29479])).
% 16.63/11.90 tff(29482,plain,
% 16.63/11.90 ((~((~v21(constB146)) <=> v6(constB146))) | v21(constB146) | v6(constB146)),
% 16.63/11.90 inference(tautology,[status(thm)],[])).
% 16.63/11.90 tff(29483,plain,
% 16.63/11.90 (v6(constB146)),
% 16.63/11.90 inference(unit_resolution,[status(thm)],[29482, 29481, 29455])).
% 16.63/11.90 tff(29484,plain,
% 16.63/11.90 ((~(v6(constB146) <=> v13(constB146))) | (~v6(constB146)) | v13(constB146)),
% 16.63/11.90 inference(tautology,[status(thm)],[])).
% 16.63/11.90 tff(29485,plain,
% 16.63/11.90 (v13(constB146)),
% 16.63/11.90 inference(unit_resolution,[status(thm)],[29484, 29483, 29453])).
% 16.63/11.90 tff(29486,plain,
% 16.63/11.90 ((~(v13(constB146) <=> v9(constB145))) | (~v13(constB146)) | v9(constB145)),
% 16.63/11.90 inference(tautology,[status(thm)],[])).
% 16.63/11.90 tff(29487,plain,
% 16.63/11.90 (v9(constB145)),
% 16.63/11.90 inference(unit_resolution,[status(thm)],[29486, 29485, 29451])).
% 16.63/11.90 tff(29488,plain,
% 16.63/11.90 ((~![VarCurr: $i] : ((~v39(VarCurr)) <=> v1(VarCurr))) | ((~v39(constB145)) <=> v1(constB145))),
% 16.63/11.90 inference(quant_inst,[status(thm)],[])).
% 16.63/11.90 tff(29489,plain,
% 16.63/11.90 ((~v39(constB145)) <=> v1(constB145)),
% 16.63/11.90 inference(unit_resolution,[status(thm)],[29488, 129])).
% 16.63/11.90 tff(29490,plain,
% 16.63/11.90 ((~((~v39(constB145)) <=> v1(constB145))) | v39(constB145) | v1(constB145)),
% 16.63/11.90 inference(tautology,[status(thm)],[])).
% 16.63/11.90 tff(29491,plain,
% 16.63/11.90 ((~((~v39(constB145)) <=> v1(constB145))) | v39(constB145)),
% 16.63/11.90 inference(unit_resolution,[status(thm)],[29490, 13772])).
% 16.63/11.90 tff(29492,plain,
% 16.63/11.90 (v39(constB145)),
% 16.63/11.90 inference(unit_resolution,[status(thm)],[29491, 29489])).
% 16.63/11.90 tff(29493,plain,
% 16.63/11.90 ((~((~v39(constB145)) | (~v9(constB145)))) | (~v39(constB145)) | (~v9(constB145))),
% 16.63/11.90 inference(tautology,[status(thm)],[])).
% 16.63/11.90 tff(29494,plain,
% 16.63/11.90 ((~((~v39(constB145)) | (~v9(constB145)))) | (~v9(constB145))),
% 16.63/11.90 inference(unit_resolution,[status(thm)],[29493, 29492])).
% 16.63/11.90 tff(29495,plain,
% 16.63/11.90 (~((~v39(constB145)) | (~v9(constB145)))),
% 16.63/11.90 inference(unit_resolution,[status(thm)],[29494, 29487])).
% 16.63/11.90 tff(29496,plain,
% 16.63/11.90 ((~(v197(constB145) <=> (~((~v39(constB145)) | (~v9(constB145)))))) | v197(constB145) | ((~v39(constB145)) | (~v9(constB145)))),
% 16.63/11.90 inference(tautology,[status(thm)],[])).
% 16.63/11.90 tff(29497,plain,
% 16.63/11.90 (v197(constB145)),
% 16.63/11.90 inference(unit_resolution,[status(thm)],[29496, 29495, 29447])).
% 16.63/11.90 tff(29498,plain,
% 16.63/11.90 ((v197(constB145) | v26(constB145)) | (~v197(constB145))),
% 16.63/11.90 inference(tautology,[status(thm)],[])).
% 16.63/11.90 tff(29499,plain,
% 16.63/11.90 (v197(constB145) | v26(constB145)),
% 16.63/11.90 inference(unit_resolution,[status(thm)],[29498, 29497])).
% 16.63/11.90 tff(29500,plain,
% 16.63/11.90 ((~(v196(constB145) <=> (v197(constB145) | v26(constB145)))) | v196(constB145) | (~(v197(constB145) | v26(constB145)))),
% 16.63/11.90 inference(tautology,[status(thm)],[])).
% 16.63/11.90 tff(29501,plain,
% 16.63/11.90 (v196(constB145)),
% 16.63/11.90 inference(unit_resolution,[status(thm)],[29500, 29499, 29445])).
% 16.63/11.90 tff(29502,plain,
% 16.63/11.90 ((~((~v195(constB145)) <=> v196(constB145))) | (~v195(constB145)) | (~v196(constB145))),
% 16.63/11.90 inference(tautology,[status(thm)],[])).
% 16.63/11.90 tff(29503,plain,
% 16.63/11.90 (~v195(constB145)),
% 16.63/11.90 inference(unit_resolution,[status(thm)],[29502, 29501, 29443])).
% 16.63/11.90 tff(29504,plain,
% 16.63/11.90 (((~v157(constB145)) | (~v195(constB145))) | v195(constB145)),
% 16.63/11.90 inference(tautology,[status(thm)],[])).
% 16.63/11.90 tff(29505,plain,
% 16.63/11.90 ((~v157(constB145)) | (~v195(constB145))),
% 16.63/11.90 inference(unit_resolution,[status(thm)],[29504, 29503])).
% 16.63/11.90 tff(29506,plain,
% 16.63/11.90 ((~(v194(constB145) <=> (~((~v157(constB145)) | (~v195(constB145)))))) | (~v194(constB145)) | (~((~v157(constB145)) | (~v195(constB145))))),
% 16.63/11.90 inference(tautology,[status(thm)],[])).
% 16.63/11.90 tff(29507,plain,
% 16.63/11.90 (~v194(constB145)),
% 16.63/11.90 inference(unit_resolution,[status(thm)],[29506, 29505, 29441])).
% 16.63/11.90 tff(29508,plain,
% 16.63/11.90 ((~![VarCurr: $i] : (v198(VarCurr) <=> (~((~v199(VarCurr)) | (~v200(VarCurr)))))) | (v198(constB145) <=> (~((~v199(constB145)) | (~v200(constB145)))))),
% 16.63/11.90 inference(quant_inst,[status(thm)],[])).
% 16.63/11.90 tff(29509,plain,
% 16.63/11.90 (v198(constB145) <=> (~((~v199(constB145)) | (~v200(constB145))))),
% 16.63/11.90 inference(unit_resolution,[status(thm)],[29508, 96])).
% 16.63/11.90 tff(29510,plain,
% 16.63/11.90 ((~![VarCurr: $i] : (v200(VarCurr) <=> (~((~v197(VarCurr)) | (~v201(VarCurr)))))) | (v200(constB145) <=> (~((~v197(constB145)) | (~v201(constB145)))))),
% 16.63/11.90 inference(quant_inst,[status(thm)],[])).
% 16.63/11.90 tff(29511,plain,
% 16.63/11.90 (v200(constB145) <=> (~((~v197(constB145)) | (~v201(constB145))))),
% 16.63/11.90 inference(unit_resolution,[status(thm)],[29510, 108])).
% 16.63/11.91 tff(29512,plain,
% 16.63/11.91 ((~![VarCurr: $i] : (v201(VarCurr) <=> (~((~v159(VarCurr)) | (~v161(VarCurr)))))) | (v201(constB145) <=> (~((~v159(constB145)) | (~v161(constB145)))))),
% 16.63/11.91 inference(quant_inst,[status(thm)],[])).
% 16.63/11.91 tff(29513,plain,
% 16.63/11.91 (v201(constB145) <=> (~((~v159(constB145)) | (~v161(constB145))))),
% 16.63/11.91 inference(unit_resolution,[status(thm)],[29512, 348])).
% 16.63/11.91 tff(29514,plain,
% 16.63/11.91 ((~![VarCurr: $i] : (v161(VarCurr) <=> v163(VarCurr))) | (v161(constB145) <=> v163(constB145))),
% 16.63/11.91 inference(quant_inst,[status(thm)],[])).
% 16.63/11.91 tff(29515,plain,
% 16.63/11.91 (v161(constB145) <=> v163(constB145)),
% 16.63/11.91 inference(unit_resolution,[status(thm)],[29514, 357])).
% 16.63/11.91 tff(29516,plain,
% 16.63/11.91 ((~![VarCurr: $i] : (v171(VarCurr) <=> (v142(VarCurr) | v150(VarCurr)))) | (v171(constB145) <=> (v142(constB145) | v150(constB145)))),
% 16.63/11.91 inference(quant_inst,[status(thm)],[])).
% 16.63/11.91 tff(29517,plain,
% 16.63/11.91 (v171(constB145) <=> (v142(constB145) | v150(constB145))),
% 16.63/11.91 inference(unit_resolution,[status(thm)],[29516, 369])).
% 16.63/11.91 tff(29518,plain,
% 16.63/11.91 ((~![VarCurr: $i] : (v142(VarCurr) <=> (v143(VarCurr) | v144(VarCurr)))) | (v142(constB145) <=> (v143(constB145) | v144(constB145)))),
% 16.63/11.91 inference(quant_inst,[status(thm)],[])).
% 16.63/11.91 tff(29519,plain,
% 16.63/11.91 (v142(constB145) <=> (v143(constB145) | v144(constB145))),
% 16.63/11.91 inference(unit_resolution,[status(thm)],[29518, 378])).
% 16.63/11.91 tff(29520,plain,
% 16.63/11.91 (((~![VarCurr: $i] : (v144(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex2)))))) | (v144(constB145) <=> (~((~v88(constB145, bitIndex2)) | (~v88(constB145, bitIndex1)) | v88(constB145, bitIndex0))))) <=> ((~![VarCurr: $i] : (v144(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex2)))))) | (v144(constB145) <=> (~((~v88(constB145, bitIndex2)) | (~v88(constB145, bitIndex1)) | v88(constB145, bitIndex0)))))),
% 16.63/11.91 inference(rewrite,[status(thm)],[])).
% 16.63/11.91 tff(29521,plain,
% 16.63/11.91 ((v144(constB145) <=> (~(v88(constB145, bitIndex0) | (~v88(constB145, bitIndex1)) | (~v88(constB145, bitIndex2))))) <=> (v144(constB145) <=> (~((~v88(constB145, bitIndex2)) | (~v88(constB145, bitIndex1)) | v88(constB145, bitIndex0))))),
% 16.63/11.91 inference(rewrite,[status(thm)],[])).
% 16.63/11.91 tff(29522,plain,
% 16.63/11.91 (((~![VarCurr: $i] : (v144(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex2)))))) | (v144(constB145) <=> (~(v88(constB145, bitIndex0) | (~v88(constB145, bitIndex1)) | (~v88(constB145, bitIndex2)))))) <=> ((~![VarCurr: $i] : (v144(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex2)))))) | (v144(constB145) <=> (~((~v88(constB145, bitIndex2)) | (~v88(constB145, bitIndex1)) | v88(constB145, bitIndex0)))))),
% 16.63/11.91 inference(monotonicity,[status(thm)],[29521])).
% 16.63/11.91 tff(29523,plain,
% 16.63/11.91 (((~![VarCurr: $i] : (v144(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex2)))))) | (v144(constB145) <=> (~(v88(constB145, bitIndex0) | (~v88(constB145, bitIndex1)) | (~v88(constB145, bitIndex2)))))) <=> ((~![VarCurr: $i] : (v144(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex2)))))) | (v144(constB145) <=> (~((~v88(constB145, bitIndex2)) | (~v88(constB145, bitIndex1)) | v88(constB145, bitIndex0)))))),
% 16.63/11.91 inference(transitivity,[status(thm)],[29522, 29520])).
% 16.63/11.91 tff(29524,plain,
% 16.63/11.91 ((~![VarCurr: $i] : (v144(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex2)))))) | (v144(constB145) <=> (~(v88(constB145, bitIndex0) | (~v88(constB145, bitIndex1)) | (~v88(constB145, bitIndex2)))))),
% 16.63/11.91 inference(quant_inst,[status(thm)],[])).
% 16.63/11.91 tff(29525,plain,
% 16.63/11.91 ((~![VarCurr: $i] : (v144(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex2)))))) | (v144(constB145) <=> (~((~v88(constB145, bitIndex2)) | (~v88(constB145, bitIndex1)) | v88(constB145, bitIndex0))))),
% 16.63/11.91 inference(modus_ponens,[status(thm)],[29524, 29523])).
% 16.63/11.91 tff(29526,plain,
% 16.63/11.91 (v144(constB145) <=> (~((~v88(constB145, bitIndex2)) | (~v88(constB145, bitIndex1)) | v88(constB145, bitIndex0)))),
% 16.63/11.91 inference(unit_resolution,[status(thm)],[29525, 393])).
% 16.63/11.91 tff(29527,plain,
% 16.63/11.91 (((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | ((~less_3(bitIndex2)) | (v88(constB145, bitIndex2) <=> v90(constB145, bitIndex2)))) <=> ((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | (~less_3(bitIndex2)) | (v88(constB145, bitIndex2) <=> v90(constB145, bitIndex2)))),
% 16.63/11.91 inference(rewrite,[status(thm)],[])).
% 16.63/11.91 tff(29528,plain,
% 16.63/11.91 ((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | ((~less_3(bitIndex2)) | (v88(constB145, bitIndex2) <=> v90(constB145, bitIndex2)))),
% 16.63/11.91 inference(quant_inst,[status(thm)],[])).
% 16.63/11.91 tff(29529,plain,
% 16.63/11.91 ((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | (~less_3(bitIndex2)) | (v88(constB145, bitIndex2) <=> v90(constB145, bitIndex2))),
% 16.63/11.91 inference(modus_ponens,[status(thm)],[29528, 29527])).
% 16.63/11.91 tff(29530,plain,
% 16.63/11.91 (v88(constB145, bitIndex2) <=> v90(constB145, bitIndex2)),
% 16.63/11.91 inference(unit_resolution,[status(thm)],[29529, 413, 410])).
% 16.63/11.91 tff(29531,plain,
% 16.63/11.91 ((~(v88(constB145, bitIndex2) <=> v90(constB145, bitIndex2))) | v88(constB145, bitIndex2) | (~v90(constB145, bitIndex2))),
% 16.63/11.91 inference(tautology,[status(thm)],[])).
% 16.63/11.91 tff(29532,plain,
% 16.63/11.91 (v88(constB145, bitIndex2)),
% 16.63/11.91 inference(unit_resolution,[status(thm)],[29531, 20193, 29530])).
% 16.63/11.91 tff(29533,plain,
% 16.63/11.91 (((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | ((~less_3(bitIndex0)) | (v88(constB145, bitIndex0) <=> v90(constB145, bitIndex0)))) <=> ((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | (~less_3(bitIndex0)) | (v88(constB145, bitIndex0) <=> v90(constB145, bitIndex0)))),
% 16.63/11.91 inference(rewrite,[status(thm)],[])).
% 16.63/11.91 tff(29534,plain,
% 16.63/11.91 ((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | ((~less_3(bitIndex0)) | (v88(constB145, bitIndex0) <=> v90(constB145, bitIndex0)))),
% 16.63/11.91 inference(quant_inst,[status(thm)],[])).
% 16.63/11.91 tff(29535,plain,
% 16.63/11.91 ((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | (~less_3(bitIndex0)) | (v88(constB145, bitIndex0) <=> v90(constB145, bitIndex0))),
% 16.63/11.91 inference(modus_ponens,[status(thm)],[29534, 29533])).
% 16.63/11.91 tff(29536,plain,
% 16.63/11.91 (v88(constB145, bitIndex0) <=> v90(constB145, bitIndex0)),
% 16.63/11.91 inference(unit_resolution,[status(thm)],[29535, 5004, 410])).
% 16.63/11.91 tff(29537,plain,
% 16.63/11.91 ((~(v88(constB145, bitIndex0) <=> v90(constB145, bitIndex0))) | (~v88(constB145, bitIndex0)) | v90(constB145, bitIndex0)),
% 16.63/11.91 inference(tautology,[status(thm)],[])).
% 16.63/11.91 tff(29538,plain,
% 16.63/11.91 (~v88(constB145, bitIndex0)),
% 16.63/11.91 inference(unit_resolution,[status(thm)],[29537, 20224, 29536])).
% 16.63/11.91 tff(29539,plain,
% 16.63/11.91 (((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | ((~less_3(bitIndex1)) | (v88(constB145, bitIndex1) <=> v90(constB145, bitIndex1)))) <=> ((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | (~less_3(bitIndex1)) | (v88(constB145, bitIndex1) <=> v90(constB145, bitIndex1)))),
% 16.63/11.91 inference(rewrite,[status(thm)],[])).
% 16.63/11.91 tff(29540,plain,
% 16.63/11.91 ((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | ((~less_3(bitIndex1)) | (v88(constB145, bitIndex1) <=> v90(constB145, bitIndex1)))),
% 16.63/11.91 inference(quant_inst,[status(thm)],[])).
% 16.63/11.91 tff(29541,plain,
% 16.63/11.91 ((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | (~less_3(bitIndex1)) | (v88(constB145, bitIndex1) <=> v90(constB145, bitIndex1))),
% 16.63/11.91 inference(modus_ponens,[status(thm)],[29540, 29539])).
% 16.63/11.91 tff(29542,plain,
% 16.63/11.91 (v88(constB145, bitIndex1) <=> v90(constB145, bitIndex1)),
% 16.63/11.91 inference(unit_resolution,[status(thm)],[29541, 5017, 410])).
% 16.63/11.91 tff(29543,plain,
% 16.63/11.91 ((~(v88(constB145, bitIndex1) <=> v90(constB145, bitIndex1))) | v88(constB145, bitIndex1) | (~v90(constB145, bitIndex1))),
% 16.63/11.91 inference(tautology,[status(thm)],[])).
% 16.63/11.91 tff(29544,plain,
% 16.63/11.91 (v88(constB145, bitIndex1)),
% 16.63/11.91 inference(unit_resolution,[status(thm)],[29543, 20255, 29542])).
% 16.63/11.91 tff(29545,plain,
% 16.63/11.91 ((~((~v88(constB145, bitIndex2)) | (~v88(constB145, bitIndex1)) | v88(constB145, bitIndex0))) | (~v88(constB145, bitIndex2)) | (~v88(constB145, bitIndex1)) | v88(constB145, bitIndex0)),
% 16.63/11.91 inference(tautology,[status(thm)],[])).
% 16.63/11.91 tff(29546,plain,
% 16.63/11.91 (~((~v88(constB145, bitIndex2)) | (~v88(constB145, bitIndex1)) | v88(constB145, bitIndex0))),
% 16.63/11.91 inference(unit_resolution,[status(thm)],[29545, 29544, 29538, 29532])).
% 16.63/11.91 tff(29547,plain,
% 16.63/11.91 ((~(v144(constB145) <=> (~((~v88(constB145, bitIndex2)) | (~v88(constB145, bitIndex1)) | v88(constB145, bitIndex0))))) | v144(constB145) | ((~v88(constB145, bitIndex2)) | (~v88(constB145, bitIndex1)) | v88(constB145, bitIndex0))),
% 16.63/11.91 inference(tautology,[status(thm)],[])).
% 16.63/11.91 tff(29548,plain,
% 16.63/11.91 (v144(constB145)),
% 16.63/11.91 inference(unit_resolution,[status(thm)],[29547, 29546, 29526])).
% 16.63/11.91 tff(29549,plain,
% 16.63/11.91 ((v143(constB145) | v144(constB145)) | (~v144(constB145))),
% 16.63/11.91 inference(tautology,[status(thm)],[])).
% 16.63/11.91 tff(29550,plain,
% 16.63/11.91 (v143(constB145) | v144(constB145)),
% 16.63/11.91 inference(unit_resolution,[status(thm)],[29549, 29548])).
% 16.63/11.91 tff(29551,plain,
% 16.63/11.91 ((~(v142(constB145) <=> (v143(constB145) | v144(constB145)))) | v142(constB145) | (~(v143(constB145) | v144(constB145)))),
% 16.63/11.91 inference(tautology,[status(thm)],[])).
% 16.63/11.91 tff(29552,plain,
% 16.63/11.91 (v142(constB145)),
% 16.63/11.91 inference(unit_resolution,[status(thm)],[29551, 29550, 29519])).
% 16.63/11.91 tff(29553,plain,
% 16.63/11.91 ((v142(constB145) | v150(constB145)) | (~v142(constB145))),
% 16.63/11.91 inference(tautology,[status(thm)],[])).
% 16.63/11.91 tff(29554,plain,
% 16.63/11.91 (v142(constB145) | v150(constB145)),
% 16.63/11.91 inference(unit_resolution,[status(thm)],[29553, 29552])).
% 16.63/11.91 tff(29555,plain,
% 16.63/11.91 ((~(v171(constB145) <=> (v142(constB145) | v150(constB145)))) | v171(constB145) | (~(v142(constB145) | v150(constB145)))),
% 16.63/11.91 inference(tautology,[status(thm)],[])).
% 16.63/11.91 tff(29556,plain,
% 16.63/11.91 (v171(constB145)),
% 16.63/11.91 inference(unit_resolution,[status(thm)],[29555, 29554, 29517])).
% 16.63/11.91 tff(29557,plain,
% 16.63/11.91 (((~![VarCurr: $i] : ((~v171(VarCurr)) | (~v170(VarCurr)))) | ((~v170(constB145)) | (~v171(constB145)))) <=> ((~![VarCurr: $i] : ((~v171(VarCurr)) | (~v170(VarCurr)))) | (~v170(constB145)) | (~v171(constB145)))),
% 16.63/11.91 inference(rewrite,[status(thm)],[])).
% 16.63/11.91 tff(29558,plain,
% 16.63/11.91 (((~v171(constB145)) | (~v170(constB145))) <=> ((~v170(constB145)) | (~v171(constB145)))),
% 16.63/11.91 inference(rewrite,[status(thm)],[])).
% 16.63/11.91 tff(29559,plain,
% 16.63/11.91 (((~![VarCurr: $i] : ((~v171(VarCurr)) | (~v170(VarCurr)))) | ((~v171(constB145)) | (~v170(constB145)))) <=> ((~![VarCurr: $i] : ((~v171(VarCurr)) | (~v170(VarCurr)))) | ((~v170(constB145)) | (~v171(constB145))))),
% 16.63/11.91 inference(monotonicity,[status(thm)],[29558])).
% 16.63/11.91 tff(29560,plain,
% 16.63/11.91 (((~![VarCurr: $i] : ((~v171(VarCurr)) | (~v170(VarCurr)))) | ((~v171(constB145)) | (~v170(constB145)))) <=> ((~![VarCurr: $i] : ((~v171(VarCurr)) | (~v170(VarCurr)))) | (~v170(constB145)) | (~v171(constB145)))),
% 16.63/11.91 inference(transitivity,[status(thm)],[29559, 29557])).
% 16.63/11.91 tff(29561,plain,
% 16.63/11.91 ((~![VarCurr: $i] : ((~v171(VarCurr)) | (~v170(VarCurr)))) | ((~v171(constB145)) | (~v170(constB145)))),
% 16.63/11.91 inference(quant_inst,[status(thm)],[])).
% 16.63/11.91 tff(29562,plain,
% 16.63/11.91 ((~![VarCurr: $i] : ((~v171(VarCurr)) | (~v170(VarCurr)))) | (~v170(constB145)) | (~v171(constB145))),
% 16.63/11.91 inference(modus_ponens,[status(thm)],[29561, 29560])).
% 16.63/11.91 tff(29563,plain,
% 16.63/11.91 ((~v170(constB145)) | (~v171(constB145))),
% 16.63/11.91 inference(unit_resolution,[status(thm)],[29562, 13061])).
% 16.63/11.91 tff(29564,plain,
% 16.63/11.91 (~v170(constB145)),
% 16.63/11.91 inference(unit_resolution,[status(thm)],[29563, 29556])).
% 16.63/11.91 tff(29565,plain,
% 16.63/11.91 ((~![VarCurr: $i] : (v166(VarCurr) <=> (v145(VarCurr) | v167(VarCurr)))) | (v166(constB145) <=> (v145(constB145) | v167(constB145)))),
% 16.63/11.91 inference(quant_inst,[status(thm)],[])).
% 16.63/11.91 tff(29566,plain,
% 16.63/11.91 (v166(constB145) <=> (v145(constB145) | v167(constB145))),
% 16.63/11.91 inference(unit_resolution,[status(thm)],[29565, 13079])).
% 16.63/11.91 tff(29567,plain,
% 16.63/11.91 ((~![VarCurr: $i] : (v167(VarCurr) <=> (v142(VarCurr) | v168(VarCurr)))) | (v167(constB145) <=> (v142(constB145) | v168(constB145)))),
% 16.63/11.91 inference(quant_inst,[status(thm)],[])).
% 16.71/11.91 tff(29568,plain,
% 16.71/11.91 (v167(constB145) <=> (v142(constB145) | v168(constB145))),
% 16.71/11.91 inference(unit_resolution,[status(thm)],[29567, 13091])).
% 16.71/11.91 tff(29569,plain,
% 16.71/11.91 ((v142(constB145) | v168(constB145)) | (~v142(constB145))),
% 16.71/11.91 inference(tautology,[status(thm)],[])).
% 16.71/11.91 tff(29570,plain,
% 16.71/11.91 (v142(constB145) | v168(constB145)),
% 16.71/11.91 inference(unit_resolution,[status(thm)],[29569, 29552])).
% 16.71/11.91 tff(29571,plain,
% 16.71/11.91 ((~(v167(constB145) <=> (v142(constB145) | v168(constB145)))) | v167(constB145) | (~(v142(constB145) | v168(constB145)))),
% 16.71/11.91 inference(tautology,[status(thm)],[])).
% 16.71/11.91 tff(29572,plain,
% 16.71/11.91 (v167(constB145)),
% 16.71/11.91 inference(unit_resolution,[status(thm)],[29571, 29570, 29568])).
% 16.71/11.91 tff(29573,plain,
% 16.71/11.91 ((v145(constB145) | v167(constB145)) | (~v167(constB145))),
% 16.71/11.91 inference(tautology,[status(thm)],[])).
% 16.71/11.91 tff(29574,plain,
% 16.71/11.91 (v145(constB145) | v167(constB145)),
% 16.71/11.91 inference(unit_resolution,[status(thm)],[29573, 29572])).
% 16.71/11.91 tff(29575,plain,
% 16.71/11.91 ((~(v166(constB145) <=> (v145(constB145) | v167(constB145)))) | v166(constB145) | (~(v145(constB145) | v167(constB145)))),
% 16.71/11.91 inference(tautology,[status(thm)],[])).
% 16.71/11.91 tff(29576,plain,
% 16.71/11.91 (v166(constB145)),
% 16.71/11.91 inference(unit_resolution,[status(thm)],[29575, 29574, 29566])).
% 16.71/11.91 tff(29577,plain,
% 16.71/11.91 (((~![VarNext: $i] : ((~v166(VarNext)) | (v163(VarNext) <=> v170(VarNext)))) | ((~v166(constB145)) | (v163(constB145) <=> v170(constB145)))) <=> ((~![VarNext: $i] : ((~v166(VarNext)) | (v163(VarNext) <=> v170(VarNext)))) | (~v166(constB145)) | (v163(constB145) <=> v170(constB145)))),
% 16.71/11.91 inference(rewrite,[status(thm)],[])).
% 16.71/11.91 tff(29578,plain,
% 16.71/11.91 ((~![VarNext: $i] : ((~v166(VarNext)) | (v163(VarNext) <=> v170(VarNext)))) | ((~v166(constB145)) | (v163(constB145) <=> v170(constB145)))),
% 16.71/11.91 inference(quant_inst,[status(thm)],[])).
% 16.71/11.91 tff(29579,plain,
% 16.71/11.91 ((~![VarNext: $i] : ((~v166(VarNext)) | (v163(VarNext) <=> v170(VarNext)))) | (~v166(constB145)) | (v163(constB145) <=> v170(constB145))),
% 16.71/11.91 inference(modus_ponens,[status(thm)],[29578, 29577])).
% 16.71/11.91 tff(29580,plain,
% 16.71/11.91 ((~v166(constB145)) | (v163(constB145) <=> v170(constB145))),
% 16.71/11.91 inference(unit_resolution,[status(thm)],[29579, 13111])).
% 16.71/11.91 tff(29581,plain,
% 16.71/11.91 (v163(constB145) <=> v170(constB145)),
% 16.71/11.91 inference(unit_resolution,[status(thm)],[29580, 29576])).
% 16.71/11.91 tff(29582,plain,
% 16.71/11.91 ((~(v163(constB145) <=> v170(constB145))) | (~v163(constB145)) | v170(constB145)),
% 16.71/11.91 inference(tautology,[status(thm)],[])).
% 16.71/11.91 tff(29583,plain,
% 16.71/11.91 (~v163(constB145)),
% 16.71/11.91 inference(unit_resolution,[status(thm)],[29582, 29581, 29564])).
% 16.71/11.91 tff(29584,plain,
% 16.71/11.91 ((~(v161(constB145) <=> v163(constB145))) | (~v161(constB145)) | v163(constB145)),
% 16.71/11.91 inference(tautology,[status(thm)],[])).
% 16.71/11.91 tff(29585,plain,
% 16.71/11.91 (~v161(constB145)),
% 16.71/11.91 inference(unit_resolution,[status(thm)],[29584, 29583, 29515])).
% 16.71/11.91 tff(29586,plain,
% 16.71/11.91 (((~v159(constB145)) | (~v161(constB145))) | v161(constB145)),
% 16.71/11.91 inference(tautology,[status(thm)],[])).
% 16.71/11.91 tff(29587,plain,
% 16.71/11.91 ((~v159(constB145)) | (~v161(constB145))),
% 16.71/11.91 inference(unit_resolution,[status(thm)],[29586, 29585])).
% 16.71/11.91 tff(29588,plain,
% 16.71/11.91 ((~(v201(constB145) <=> (~((~v159(constB145)) | (~v161(constB145)))))) | (~v201(constB145)) | (~((~v159(constB145)) | (~v161(constB145))))),
% 16.71/11.91 inference(tautology,[status(thm)],[])).
% 16.71/11.91 tff(29589,plain,
% 16.71/11.91 (~v201(constB145)),
% 16.71/11.91 inference(unit_resolution,[status(thm)],[29588, 29587, 29513])).
% 16.71/11.91 tff(29590,plain,
% 16.71/11.91 (((~v197(constB145)) | (~v201(constB145))) | v201(constB145)),
% 16.71/11.91 inference(tautology,[status(thm)],[])).
% 16.71/11.91 tff(29591,plain,
% 16.71/11.91 ((~v197(constB145)) | (~v201(constB145))),
% 16.71/11.91 inference(unit_resolution,[status(thm)],[29590, 29589])).
% 16.71/11.91 tff(29592,plain,
% 16.71/11.91 ((~(v200(constB145) <=> (~((~v197(constB145)) | (~v201(constB145)))))) | (~v200(constB145)) | (~((~v197(constB145)) | (~v201(constB145))))),
% 16.71/11.91 inference(tautology,[status(thm)],[])).
% 16.71/11.91 tff(29593,plain,
% 16.71/11.91 (~v200(constB145)),
% 16.71/11.91 inference(unit_resolution,[status(thm)],[29592, 29591, 29511])).
% 16.71/11.91 tff(29594,plain,
% 16.71/11.91 (((~v199(constB145)) | (~v200(constB145))) | v200(constB145)),
% 16.71/11.91 inference(tautology,[status(thm)],[])).
% 16.71/11.91 tff(29595,plain,
% 16.71/11.92 ((~v199(constB145)) | (~v200(constB145))),
% 16.71/11.92 inference(unit_resolution,[status(thm)],[29594, 29593])).
% 16.71/11.92 tff(29596,plain,
% 16.71/11.92 ((~(v198(constB145) <=> (~((~v199(constB145)) | (~v200(constB145)))))) | (~v198(constB145)) | (~((~v199(constB145)) | (~v200(constB145))))),
% 16.71/11.92 inference(tautology,[status(thm)],[])).
% 16.71/11.92 tff(29597,plain,
% 16.71/11.92 (~v198(constB145)),
% 16.71/11.92 inference(unit_resolution,[status(thm)],[29596, 29595, 29509])).
% 16.71/11.92 tff(29598,plain,
% 16.71/11.92 ((~(v194(constB145) | v198(constB145))) | v194(constB145) | v198(constB145)),
% 16.71/11.92 inference(tautology,[status(thm)],[])).
% 16.71/11.92 tff(29599,plain,
% 16.71/11.92 (~(v194(constB145) | v198(constB145))),
% 16.71/11.92 inference(unit_resolution,[status(thm)],[29598, 29597, 29507])).
% 16.71/11.92 tff(29600,plain,
% 16.71/11.92 ((~(v191(constB145) <=> (v194(constB145) | v198(constB145)))) | (~v191(constB145)) | (v194(constB145) | v198(constB145))),
% 16.71/11.92 inference(tautology,[status(thm)],[])).
% 16.71/11.92 tff(29601,plain,
% 16.71/11.92 (~v191(constB145)),
% 16.71/11.92 inference(unit_resolution,[status(thm)],[29600, 29599, 29434])).
% 16.71/11.92 tff(29602,plain,
% 16.71/11.92 ((~(v193(constB146) <=> v191(constB145))) | (~v193(constB146)) | v191(constB145)),
% 16.71/11.92 inference(tautology,[status(thm)],[])).
% 16.71/11.92 tff(29603,plain,
% 16.71/11.92 (~v193(constB146)),
% 16.71/11.92 inference(unit_resolution,[status(thm)],[29602, 29601, 29432])).
% 16.71/11.92 tff(29604,plain,
% 16.71/11.92 ((~(v157(constB146) <=> v193(constB146))) | (~v157(constB146)) | v193(constB146)),
% 16.71/11.92 inference(tautology,[status(thm)],[])).
% 16.71/11.92 tff(29605,plain,
% 16.71/11.92 (~v157(constB146)),
% 16.71/11.92 inference(unit_resolution,[status(thm)],[29604, 29603, 29428])).
% 16.71/11.92 tff(29606,plain,
% 16.71/11.92 (((~v157(constB146)) | (~v195(constB146))) | v157(constB146)),
% 16.71/11.92 inference(tautology,[status(thm)],[])).
% 16.71/11.92 tff(29607,plain,
% 16.71/11.92 ((~v157(constB146)) | (~v195(constB146))),
% 16.71/11.92 inference(unit_resolution,[status(thm)],[29606, 29605])).
% 16.71/11.92 tff(29608,plain,
% 16.71/11.92 ((~(v194(constB146) <=> (~((~v157(constB146)) | (~v195(constB146)))))) | (~v194(constB146)) | (~((~v157(constB146)) | (~v195(constB146))))),
% 16.71/11.92 inference(tautology,[status(thm)],[])).
% 16.71/11.92 tff(29609,plain,
% 16.71/11.92 (~v194(constB146)),
% 16.71/11.92 inference(unit_resolution,[status(thm)],[29608, 29607, 29426])).
% 16.71/11.92 tff(29610,plain,
% 16.71/11.92 ((~(v194(constB146) | v198(constB146))) | v194(constB146) | v198(constB146)),
% 16.71/11.92 inference(tautology,[status(thm)],[])).
% 16.71/11.92 tff(29611,plain,
% 16.71/11.92 (~(v194(constB146) | v198(constB146))),
% 16.71/11.92 inference(unit_resolution,[status(thm)],[29610, 29609, 29419])).
% 16.71/11.92 tff(29612,plain,
% 16.71/11.92 ((~(v191(constB146) <=> (v194(constB146) | v198(constB146)))) | (~v191(constB146)) | (v194(constB146) | v198(constB146))),
% 16.71/11.92 inference(tautology,[status(thm)],[])).
% 16.71/11.92 tff(29613,plain,
% 16.71/11.92 (~v191(constB146)),
% 16.71/11.92 inference(unit_resolution,[status(thm)],[29612, 29611, 29394])).
% 16.71/11.92 tff(29614,plain,
% 16.71/11.92 ((~(v193(constB147) <=> v191(constB146))) | (~v193(constB147)) | v191(constB146)),
% 16.71/11.92 inference(tautology,[status(thm)],[])).
% 16.71/11.92 tff(29615,plain,
% 16.71/11.92 (~v193(constB147)),
% 16.71/11.92 inference(unit_resolution,[status(thm)],[29614, 29613, 29392])).
% 16.71/11.92 tff(29616,plain,
% 16.71/11.92 ($false),
% 16.71/11.92 inference(unit_resolution,[status(thm)],[29615, 29388])).
% 16.71/11.92 tff(29617,plain,(~(constB147 = VarCurr!0)), inference(lemma,lemma(discharge,[]))).
% 16.71/11.92 tff(29618,assumption,(constB63 = VarCurr!0), introduced(assumption)).
% 16.71/11.92 tff(29619,plain,
% 16.71/11.92 (v193(constB63) <=> v193(VarCurr!0)),
% 16.71/11.92 inference(monotonicity,[status(thm)],[29618])).
% 16.71/11.92 tff(29620,plain,
% 16.71/11.92 (v193(VarCurr!0) <=> v193(constB63)),
% 16.71/11.92 inference(symmetry,[status(thm)],[29619])).
% 16.71/11.92 tff(29621,plain,
% 16.71/11.92 (v193(constB63)),
% 16.71/11.92 inference(modus_ponens,[status(thm)],[59, 29620])).
% 16.71/11.92 tff(29622,plain,
% 16.71/11.92 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v193(VarNext) <=> v191(VarCurr)))) | ((~nextState(constB62, constB63)) | (v193(constB63) <=> v191(constB62)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v193(VarNext) <=> v191(VarCurr)))) | (~nextState(constB62, constB63)) | (v193(constB63) <=> v191(constB62)))),
% 16.71/11.92 inference(rewrite,[status(thm)],[])).
% 16.71/11.92 tff(29623,plain,
% 16.71/11.92 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v193(VarNext) <=> v191(VarCurr)))) | ((~nextState(constB62, constB63)) | (v193(constB63) <=> v191(constB62)))),
% 16.71/11.92 inference(quant_inst,[status(thm)],[])).
% 16.71/11.92 tff(29624,plain,
% 16.71/11.92 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v193(VarNext) <=> v191(VarCurr)))) | (~nextState(constB62, constB63)) | (v193(constB63) <=> v191(constB62))),
% 16.71/11.92 inference(modus_ponens,[status(thm)],[29623, 29622])).
% 16.71/11.92 tff(29625,plain,
% 16.71/11.92 (v193(constB63) <=> v191(constB62)),
% 16.71/11.92 inference(unit_resolution,[status(thm)],[29624, 2093, 70])).
% 16.71/11.92 tff(29626,plain,
% 16.71/11.92 ((~![VarCurr: $i] : (v191(VarCurr) <=> (v194(VarCurr) | v198(VarCurr)))) | (v191(constB62) <=> (v194(constB62) | v198(constB62)))),
% 16.71/11.92 inference(quant_inst,[status(thm)],[])).
% 16.71/11.92 tff(29627,plain,
% 16.71/11.92 (v191(constB62) <=> (v194(constB62) | v198(constB62))),
% 16.71/11.92 inference(unit_resolution,[status(thm)],[29626, 84])).
% 16.71/11.92 tff(29628,plain,
% 16.71/11.92 ((~![VarCurr: $i] : (v198(VarCurr) <=> (~((~v199(VarCurr)) | (~v200(VarCurr)))))) | (v198(constB62) <=> (~((~v199(constB62)) | (~v200(constB62)))))),
% 16.71/11.92 inference(quant_inst,[status(thm)],[])).
% 16.71/11.92 tff(29629,plain,
% 16.71/11.92 (v198(constB62) <=> (~((~v199(constB62)) | (~v200(constB62))))),
% 16.71/11.92 inference(unit_resolution,[status(thm)],[29628, 96])).
% 16.71/11.92 tff(29630,plain,
% 16.71/11.92 ((~![VarCurr: $i] : (v200(VarCurr) <=> (~((~v197(VarCurr)) | (~v201(VarCurr)))))) | (v200(constB62) <=> (~((~v197(constB62)) | (~v201(constB62)))))),
% 16.71/11.92 inference(quant_inst,[status(thm)],[])).
% 16.71/11.92 tff(29631,plain,
% 16.71/11.92 (v200(constB62) <=> (~((~v197(constB62)) | (~v201(constB62))))),
% 16.71/11.92 inference(unit_resolution,[status(thm)],[29630, 108])).
% 16.71/11.92 tff(29632,plain,
% 16.71/11.92 ((~![VarCurr: $i] : (v197(VarCurr) <=> (~((~v39(VarCurr)) | (~v9(VarCurr)))))) | (v197(constB62) <=> (~((~v39(constB62)) | (~v9(constB62)))))),
% 16.71/11.92 inference(quant_inst,[status(thm)],[])).
% 16.71/11.92 tff(29633,plain,
% 16.71/11.92 (v197(constB62) <=> (~((~v39(constB62)) | (~v9(constB62))))),
% 16.71/11.92 inference(unit_resolution,[status(thm)],[29632, 120])).
% 16.71/11.92 tff(29634,plain,
% 16.71/11.92 ((~![VarCurr: $i] : ((~v39(VarCurr)) <=> v1(VarCurr))) | ((~v39(constB62)) <=> v1(constB62))),
% 16.71/11.92 inference(quant_inst,[status(thm)],[])).
% 16.71/11.92 tff(29635,plain,
% 16.71/11.92 ((~v39(constB62)) <=> v1(constB62)),
% 16.71/11.92 inference(unit_resolution,[status(thm)],[29634, 129])).
% 16.71/11.92 tff(29636,plain,
% 16.71/11.92 ((~((~v39(constB62)) <=> v1(constB62))) | (~v39(constB62)) | (~v1(constB62))),
% 16.71/11.92 inference(tautology,[status(thm)],[])).
% 16.71/11.92 tff(29637,plain,
% 16.71/11.92 ((~((~v39(constB62)) <=> v1(constB62))) | (~v39(constB62))),
% 16.71/11.92 inference(unit_resolution,[status(thm)],[29636, 2155])).
% 16.71/11.92 tff(29638,plain,
% 16.71/11.92 (~v39(constB62)),
% 16.71/11.92 inference(unit_resolution,[status(thm)],[29637, 29635])).
% 16.71/11.92 tff(29639,plain,
% 16.71/11.92 (((~v39(constB62)) | (~v9(constB62))) | v39(constB62)),
% 16.71/11.92 inference(tautology,[status(thm)],[])).
% 16.71/11.92 tff(29640,plain,
% 16.71/11.92 ((~v39(constB62)) | (~v9(constB62))),
% 16.71/11.92 inference(unit_resolution,[status(thm)],[29639, 29638])).
% 16.71/11.92 tff(29641,plain,
% 16.71/11.92 ((~(v197(constB62) <=> (~((~v39(constB62)) | (~v9(constB62)))))) | (~v197(constB62)) | (~((~v39(constB62)) | (~v9(constB62))))),
% 16.71/11.92 inference(tautology,[status(thm)],[])).
% 16.71/11.92 tff(29642,plain,
% 16.71/11.92 ((~(v197(constB62) <=> (~((~v39(constB62)) | (~v9(constB62)))))) | (~v197(constB62))),
% 16.71/11.92 inference(unit_resolution,[status(thm)],[29641, 29640])).
% 16.71/11.92 tff(29643,plain,
% 16.71/11.92 (~v197(constB62)),
% 16.71/11.92 inference(unit_resolution,[status(thm)],[29642, 29633])).
% 16.71/11.92 tff(29644,plain,
% 16.71/11.92 (((~v197(constB62)) | (~v201(constB62))) | v197(constB62)),
% 16.71/11.92 inference(tautology,[status(thm)],[])).
% 16.71/11.92 tff(29645,plain,
% 16.71/11.92 ((~v197(constB62)) | (~v201(constB62))),
% 16.71/11.92 inference(unit_resolution,[status(thm)],[29644, 29643])).
% 16.71/11.92 tff(29646,plain,
% 16.71/11.92 ((~(v200(constB62) <=> (~((~v197(constB62)) | (~v201(constB62)))))) | (~v200(constB62)) | (~((~v197(constB62)) | (~v201(constB62))))),
% 16.71/11.92 inference(tautology,[status(thm)],[])).
% 16.71/11.92 tff(29647,plain,
% 16.71/11.92 ((~(v200(constB62) <=> (~((~v197(constB62)) | (~v201(constB62)))))) | (~v200(constB62))),
% 16.71/11.92 inference(unit_resolution,[status(thm)],[29646, 29645])).
% 16.71/11.92 tff(29648,plain,
% 16.71/11.92 (~v200(constB62)),
% 16.71/11.92 inference(unit_resolution,[status(thm)],[29647, 29631])).
% 16.71/11.92 tff(29649,plain,
% 16.71/11.92 (((~v199(constB62)) | (~v200(constB62))) | v200(constB62)),
% 16.71/11.92 inference(tautology,[status(thm)],[])).
% 16.71/11.92 tff(29650,plain,
% 16.71/11.92 ((~v199(constB62)) | (~v200(constB62))),
% 16.71/11.92 inference(unit_resolution,[status(thm)],[29649, 29648])).
% 16.71/11.92 tff(29651,plain,
% 16.71/11.92 ((~(v198(constB62) <=> (~((~v199(constB62)) | (~v200(constB62)))))) | (~v198(constB62)) | (~((~v199(constB62)) | (~v200(constB62))))),
% 16.71/11.92 inference(tautology,[status(thm)],[])).
% 16.71/11.92 tff(29652,plain,
% 16.71/11.92 (~v198(constB62)),
% 16.71/11.92 inference(unit_resolution,[status(thm)],[29651, 29650, 29629])).
% 16.71/11.92 tff(29653,plain,
% 16.71/11.92 (((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB62) <=> (~((~v157(constB62)) | (~v195(constB62)))))) <=> ((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB62) <=> (~((~v157(constB62)) | (~v195(constB62))))))),
% 16.71/11.92 inference(rewrite,[status(thm)],[])).
% 16.71/11.92 tff(29654,plain,
% 16.71/11.92 ((v194(constB62) <=> (~((~v195(constB62)) | (~v157(constB62))))) <=> (v194(constB62) <=> (~((~v157(constB62)) | (~v195(constB62)))))),
% 16.71/11.92 inference(rewrite,[status(thm)],[])).
% 16.71/11.92 tff(29655,plain,
% 16.71/11.92 (((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB62) <=> (~((~v195(constB62)) | (~v157(constB62)))))) <=> ((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB62) <=> (~((~v157(constB62)) | (~v195(constB62))))))),
% 16.71/11.92 inference(monotonicity,[status(thm)],[29654])).
% 16.71/11.92 tff(29656,plain,
% 16.71/11.92 (((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB62) <=> (~((~v195(constB62)) | (~v157(constB62)))))) <=> ((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB62) <=> (~((~v157(constB62)) | (~v195(constB62))))))),
% 16.71/11.92 inference(transitivity,[status(thm)],[29655, 29653])).
% 16.71/11.92 tff(29657,plain,
% 16.71/11.92 ((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB62) <=> (~((~v195(constB62)) | (~v157(constB62)))))),
% 16.71/11.92 inference(quant_inst,[status(thm)],[])).
% 16.71/11.92 tff(29658,plain,
% 16.71/11.92 ((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB62) <=> (~((~v157(constB62)) | (~v195(constB62)))))),
% 16.71/11.92 inference(modus_ponens,[status(thm)],[29657, 29656])).
% 16.71/11.92 tff(29659,plain,
% 16.71/11.92 (v194(constB62) <=> (~((~v157(constB62)) | (~v195(constB62))))),
% 16.71/11.92 inference(unit_resolution,[status(thm)],[29658, 161])).
% 16.71/11.92 tff(29660,plain,
% 16.71/11.92 ((~![VarNext: $i] : (v157(VarNext) <=> v193(VarNext))) | (v157(constB62) <=> v193(constB62))),
% 16.71/11.92 inference(quant_inst,[status(thm)],[])).
% 16.71/11.92 tff(29661,plain,
% 16.71/11.92 (v157(constB62) <=> v193(constB62)),
% 16.71/11.92 inference(unit_resolution,[status(thm)],[29660, 13])).
% 16.71/11.92 tff(29662,plain,
% 16.71/11.92 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v193(VarNext) <=> v191(VarCurr)))) | ((~nextState(constB61, constB62)) | (v193(constB62) <=> v191(constB61)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v193(VarNext) <=> v191(VarCurr)))) | (~nextState(constB61, constB62)) | (v193(constB62) <=> v191(constB61)))),
% 16.71/11.92 inference(rewrite,[status(thm)],[])).
% 16.71/11.92 tff(29663,plain,
% 16.71/11.92 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v193(VarNext) <=> v191(VarCurr)))) | ((~nextState(constB61, constB62)) | (v193(constB62) <=> v191(constB61)))),
% 16.71/11.92 inference(quant_inst,[status(thm)],[])).
% 16.71/11.92 tff(29664,plain,
% 16.71/11.92 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v193(VarNext) <=> v191(VarCurr)))) | (~nextState(constB61, constB62)) | (v193(constB62) <=> v191(constB61))),
% 16.71/11.92 inference(modus_ponens,[status(thm)],[29663, 29662])).
% 16.71/11.92 tff(29665,plain,
% 16.71/11.92 (v193(constB62) <=> v191(constB61)),
% 16.71/11.92 inference(unit_resolution,[status(thm)],[29664, 2125, 70])).
% 16.71/11.92 tff(29666,plain,
% 16.71/11.92 ((~![VarCurr: $i] : (v191(VarCurr) <=> (v194(VarCurr) | v198(VarCurr)))) | (v191(constB61) <=> (v194(constB61) | v198(constB61)))),
% 16.71/11.92 inference(quant_inst,[status(thm)],[])).
% 16.71/11.92 tff(29667,plain,
% 16.71/11.92 (v191(constB61) <=> (v194(constB61) | v198(constB61))),
% 16.71/11.92 inference(unit_resolution,[status(thm)],[29666, 84])).
% 16.71/11.92 tff(29668,plain,
% 16.71/11.92 (((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB61) <=> (~((~v157(constB61)) | (~v195(constB61)))))) <=> ((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB61) <=> (~((~v157(constB61)) | (~v195(constB61))))))),
% 16.71/11.92 inference(rewrite,[status(thm)],[])).
% 16.71/11.92 tff(29669,plain,
% 16.71/11.92 ((v194(constB61) <=> (~((~v195(constB61)) | (~v157(constB61))))) <=> (v194(constB61) <=> (~((~v157(constB61)) | (~v195(constB61)))))),
% 16.71/11.92 inference(rewrite,[status(thm)],[])).
% 16.71/11.92 tff(29670,plain,
% 16.71/11.92 (((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB61) <=> (~((~v195(constB61)) | (~v157(constB61)))))) <=> ((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB61) <=> (~((~v157(constB61)) | (~v195(constB61))))))),
% 16.71/11.92 inference(monotonicity,[status(thm)],[29669])).
% 16.71/11.92 tff(29671,plain,
% 16.71/11.92 (((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB61) <=> (~((~v195(constB61)) | (~v157(constB61)))))) <=> ((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB61) <=> (~((~v157(constB61)) | (~v195(constB61))))))),
% 16.71/11.92 inference(transitivity,[status(thm)],[29670, 29668])).
% 16.71/11.92 tff(29672,plain,
% 16.71/11.92 ((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB61) <=> (~((~v195(constB61)) | (~v157(constB61)))))),
% 16.71/11.92 inference(quant_inst,[status(thm)],[])).
% 16.71/11.92 tff(29673,plain,
% 16.71/11.92 ((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB61) <=> (~((~v157(constB61)) | (~v195(constB61)))))),
% 16.71/11.92 inference(modus_ponens,[status(thm)],[29672, 29671])).
% 16.71/11.92 tff(29674,plain,
% 16.71/11.92 (v194(constB61) <=> (~((~v157(constB61)) | (~v195(constB61))))),
% 16.71/11.92 inference(unit_resolution,[status(thm)],[29673, 161])).
% 16.71/11.92 tff(29675,plain,
% 16.71/11.92 ((~![VarCurr: $i] : ((~v195(VarCurr)) <=> v196(VarCurr))) | ((~v195(constB61)) <=> v196(constB61))),
% 16.71/11.92 inference(quant_inst,[status(thm)],[])).
% 16.71/11.92 tff(29676,plain,
% 16.71/11.92 ((~v195(constB61)) <=> v196(constB61)),
% 16.71/11.92 inference(unit_resolution,[status(thm)],[29675, 193])).
% 16.71/11.92 tff(29677,plain,
% 16.71/11.92 ((~![VarCurr: $i] : (v196(VarCurr) <=> (v197(VarCurr) | v26(VarCurr)))) | (v196(constB61) <=> (v197(constB61) | v26(constB61)))),
% 16.71/11.92 inference(quant_inst,[status(thm)],[])).
% 16.71/11.92 tff(29678,plain,
% 16.71/11.92 (v196(constB61) <=> (v197(constB61) | v26(constB61))),
% 16.71/11.92 inference(unit_resolution,[status(thm)],[29677, 202])).
% 16.71/11.92 tff(29679,plain,
% 16.71/11.92 ((~![VarCurr: $i] : (v197(VarCurr) <=> (~((~v39(VarCurr)) | (~v9(VarCurr)))))) | (v197(constB61) <=> (~((~v39(constB61)) | (~v9(constB61)))))),
% 16.71/11.92 inference(quant_inst,[status(thm)],[])).
% 16.71/11.92 tff(29680,plain,
% 16.71/11.92 (v197(constB61) <=> (~((~v39(constB61)) | (~v9(constB61))))),
% 16.71/11.92 inference(unit_resolution,[status(thm)],[29679, 120])).
% 16.71/11.92 tff(29681,plain,
% 16.71/11.92 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | ((~nextState(constB61, constB62)) | (v13(constB62) <=> v9(constB61)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | (~nextState(constB61, constB62)) | (v13(constB62) <=> v9(constB61)))),
% 16.71/11.92 inference(rewrite,[status(thm)],[])).
% 16.71/11.92 tff(29682,plain,
% 16.71/11.92 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | ((~nextState(constB61, constB62)) | (v13(constB62) <=> v9(constB61)))),
% 16.71/11.92 inference(quant_inst,[status(thm)],[])).
% 16.71/11.92 tff(29683,plain,
% 16.71/11.92 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | (~nextState(constB61, constB62)) | (v13(constB62) <=> v9(constB61))),
% 16.71/11.92 inference(modus_ponens,[status(thm)],[29682, 29681])).
% 16.71/11.92 tff(29684,plain,
% 16.71/11.92 (v13(constB62) <=> v9(constB61)),
% 16.71/11.92 inference(unit_resolution,[status(thm)],[29683, 2125, 216])).
% 16.71/11.92 tff(29685,plain,
% 16.71/11.92 ((~![VarNext: $i] : (v6(VarNext) <=> v13(VarNext))) | (v6(constB62) <=> v13(constB62))),
% 16.71/11.92 inference(quant_inst,[status(thm)],[])).
% 16.71/11.92 tff(29686,plain,
% 16.71/11.92 (v6(constB62) <=> v13(constB62)),
% 16.71/11.92 inference(unit_resolution,[status(thm)],[29685, 230])).
% 16.71/11.92 tff(29687,plain,
% 16.71/11.92 ((~![VarCurr: $i] : ((~v21(VarCurr)) <=> v6(VarCurr))) | ((~v21(constB62)) <=> v6(constB62))),
% 16.71/11.92 inference(quant_inst,[status(thm)],[])).
% 16.71/11.92 tff(29688,plain,
% 16.71/11.92 ((~v21(constB62)) <=> v6(constB62)),
% 16.71/11.92 inference(unit_resolution,[status(thm)],[29687, 239])).
% 16.71/11.92 tff(29689,plain,
% 16.71/11.92 ((~![VarCurr: $i] : (v19(VarCurr) <=> (v20(VarCurr) | v21(VarCurr)))) | (v19(constB62) <=> (v20(constB62) | v21(constB62)))),
% 16.71/11.92 inference(quant_inst,[status(thm)],[])).
% 16.71/11.92 tff(29690,plain,
% 16.71/11.92 (v19(constB62) <=> (v20(constB62) | v21(constB62))),
% 16.71/11.92 inference(unit_resolution,[status(thm)],[29689, 248])).
% 16.71/11.92 tff(29691,plain,
% 16.71/11.92 ((~![VarCurr: $i] : (v18(VarCurr) <=> (~((~v19(VarCurr)) | (~v22(VarCurr)))))) | (v18(constB62) <=> (~((~v19(constB62)) | (~v22(constB62)))))),
% 16.71/11.92 inference(quant_inst,[status(thm)],[])).
% 16.71/11.92 tff(29692,plain,
% 16.71/11.92 (v18(constB62) <=> (~((~v19(constB62)) | (~v22(constB62))))),
% 16.71/11.92 inference(unit_resolution,[status(thm)],[29691, 260])).
% 16.71/11.92 tff(29693,plain,
% 16.71/11.92 ((~![VarCurr: $i] : ((~v4(VarCurr)) <=> v18(VarCurr))) | ((~v4(constB62)) <=> v18(constB62))),
% 16.71/11.92 inference(quant_inst,[status(thm)],[])).
% 16.71/11.92 tff(29694,plain,
% 16.71/11.92 ((~v4(constB62)) <=> v18(constB62)),
% 16.71/11.92 inference(unit_resolution,[status(thm)],[29693, 269])).
% 16.71/11.92 tff(29695,plain,
% 16.71/11.92 ((~![VarCurr: $i] : v4(VarCurr)) | v4(constB62)),
% 16.71/11.92 inference(quant_inst,[status(thm)],[])).
% 16.71/11.92 tff(29696,plain,
% 16.71/11.92 (v4(constB62)),
% 16.71/11.92 inference(unit_resolution,[status(thm)],[29695, 278])).
% 16.71/11.92 tff(29697,plain,
% 16.71/11.92 ((~((~v4(constB62)) <=> v18(constB62))) | (~v4(constB62)) | (~v18(constB62))),
% 16.71/11.92 inference(tautology,[status(thm)],[])).
% 16.71/11.92 tff(29698,plain,
% 16.71/11.92 (~v18(constB62)),
% 16.71/11.92 inference(unit_resolution,[status(thm)],[29697, 29696, 29694])).
% 16.71/11.92 tff(29699,plain,
% 16.71/11.92 ((~(v18(constB62) <=> (~((~v19(constB62)) | (~v22(constB62)))))) | v18(constB62) | ((~v19(constB62)) | (~v22(constB62)))),
% 16.71/11.92 inference(tautology,[status(thm)],[])).
% 16.71/11.92 tff(29700,plain,
% 16.71/11.92 ((~v19(constB62)) | (~v22(constB62))),
% 16.71/11.92 inference(unit_resolution,[status(thm)],[29699, 29698, 29692])).
% 16.71/11.92 tff(29701,plain,
% 16.71/11.92 ((~![VarCurr: $i] : (v22(VarCurr) <=> (v1(VarCurr) | v6(VarCurr)))) | (v22(constB62) <=> (v1(constB62) | v6(constB62)))),
% 16.71/11.93 inference(quant_inst,[status(thm)],[])).
% 16.71/11.93 tff(29702,plain,
% 16.71/11.93 (v22(constB62) <=> (v1(constB62) | v6(constB62))),
% 16.71/11.93 inference(unit_resolution,[status(thm)],[29701, 291])).
% 16.71/11.93 tff(29703,plain,
% 16.71/11.93 ((v1(constB62) | v6(constB62)) | (~v1(constB62))),
% 16.71/11.93 inference(tautology,[status(thm)],[])).
% 16.71/11.93 tff(29704,plain,
% 16.71/11.93 (v1(constB62) | v6(constB62)),
% 16.71/11.93 inference(unit_resolution,[status(thm)],[29703, 2155])).
% 16.71/11.93 tff(29705,plain,
% 16.71/11.93 ((~(v22(constB62) <=> (v1(constB62) | v6(constB62)))) | v22(constB62) | (~(v1(constB62) | v6(constB62)))),
% 16.71/11.93 inference(tautology,[status(thm)],[])).
% 16.71/11.93 tff(29706,plain,
% 16.71/11.93 ((~(v22(constB62) <=> (v1(constB62) | v6(constB62)))) | v22(constB62)),
% 16.71/11.93 inference(unit_resolution,[status(thm)],[29705, 29704])).
% 16.71/11.93 tff(29707,plain,
% 16.71/11.93 (v22(constB62)),
% 16.71/11.93 inference(unit_resolution,[status(thm)],[29706, 29702])).
% 16.71/11.93 tff(29708,plain,
% 16.71/11.93 ((~((~v19(constB62)) | (~v22(constB62)))) | (~v19(constB62)) | (~v22(constB62))),
% 16.71/11.93 inference(tautology,[status(thm)],[])).
% 16.71/11.93 tff(29709,plain,
% 16.71/11.93 ((~((~v19(constB62)) | (~v22(constB62)))) | (~v19(constB62))),
% 16.71/11.93 inference(unit_resolution,[status(thm)],[29708, 29707])).
% 16.71/11.93 tff(29710,plain,
% 16.71/11.93 (~v19(constB62)),
% 16.71/11.93 inference(unit_resolution,[status(thm)],[29709, 29700])).
% 16.71/11.93 tff(29711,plain,
% 16.71/11.93 ((~(v19(constB62) <=> (v20(constB62) | v21(constB62)))) | v19(constB62) | (~(v20(constB62) | v21(constB62)))),
% 16.71/11.93 inference(tautology,[status(thm)],[])).
% 16.71/11.93 tff(29712,plain,
% 16.71/11.93 (~(v20(constB62) | v21(constB62))),
% 16.71/11.93 inference(unit_resolution,[status(thm)],[29711, 29710, 29690])).
% 16.71/11.93 tff(29713,plain,
% 16.71/11.93 ((v20(constB62) | v21(constB62)) | (~v21(constB62))),
% 16.71/11.93 inference(tautology,[status(thm)],[])).
% 16.71/11.93 tff(29714,plain,
% 16.71/11.93 (~v21(constB62)),
% 16.71/11.93 inference(unit_resolution,[status(thm)],[29713, 29712])).
% 16.71/11.93 tff(29715,plain,
% 16.71/11.93 ((~((~v21(constB62)) <=> v6(constB62))) | v21(constB62) | v6(constB62)),
% 16.71/11.93 inference(tautology,[status(thm)],[])).
% 16.71/11.93 tff(29716,plain,
% 16.71/11.93 (v6(constB62)),
% 16.71/11.93 inference(unit_resolution,[status(thm)],[29715, 29714, 29688])).
% 16.71/11.93 tff(29717,plain,
% 16.71/11.93 ((~(v6(constB62) <=> v13(constB62))) | (~v6(constB62)) | v13(constB62)),
% 16.71/11.93 inference(tautology,[status(thm)],[])).
% 16.71/11.93 tff(29718,plain,
% 16.71/11.93 (v13(constB62)),
% 16.71/11.93 inference(unit_resolution,[status(thm)],[29717, 29716, 29686])).
% 16.71/11.93 tff(29719,plain,
% 16.71/11.93 ((~(v13(constB62) <=> v9(constB61))) | (~v13(constB62)) | v9(constB61)),
% 16.71/11.93 inference(tautology,[status(thm)],[])).
% 16.71/11.93 tff(29720,plain,
% 16.71/11.93 (v9(constB61)),
% 16.71/11.93 inference(unit_resolution,[status(thm)],[29719, 29718, 29684])).
% 16.71/11.93 tff(29721,plain,
% 16.71/11.93 ((~![VarCurr: $i] : ((~v39(VarCurr)) <=> v1(VarCurr))) | ((~v39(constB61)) <=> v1(constB61))),
% 16.71/11.93 inference(quant_inst,[status(thm)],[])).
% 16.71/11.93 tff(29722,plain,
% 16.71/11.93 ((~v39(constB61)) <=> v1(constB61)),
% 16.71/11.93 inference(unit_resolution,[status(thm)],[29721, 129])).
% 16.71/11.93 tff(29723,plain,
% 16.71/11.93 ((~((~v39(constB61)) <=> v1(constB61))) | v39(constB61) | v1(constB61)),
% 16.71/11.93 inference(tautology,[status(thm)],[])).
% 16.71/11.93 tff(29724,plain,
% 16.71/11.93 ((~((~v39(constB61)) <=> v1(constB61))) | v39(constB61)),
% 16.71/11.93 inference(unit_resolution,[status(thm)],[29723, 2147])).
% 16.71/11.93 tff(29725,plain,
% 16.71/11.93 (v39(constB61)),
% 16.71/11.93 inference(unit_resolution,[status(thm)],[29724, 29722])).
% 16.71/11.93 tff(29726,plain,
% 16.71/11.93 ((~((~v39(constB61)) | (~v9(constB61)))) | (~v39(constB61)) | (~v9(constB61))),
% 16.71/11.93 inference(tautology,[status(thm)],[])).
% 16.71/11.93 tff(29727,plain,
% 16.71/11.93 ((~((~v39(constB61)) | (~v9(constB61)))) | (~v9(constB61))),
% 16.71/11.93 inference(unit_resolution,[status(thm)],[29726, 29725])).
% 16.71/11.93 tff(29728,plain,
% 16.71/11.93 (~((~v39(constB61)) | (~v9(constB61)))),
% 16.71/11.93 inference(unit_resolution,[status(thm)],[29727, 29720])).
% 16.71/11.93 tff(29729,plain,
% 16.71/11.93 ((~(v197(constB61) <=> (~((~v39(constB61)) | (~v9(constB61)))))) | v197(constB61) | ((~v39(constB61)) | (~v9(constB61)))),
% 16.71/11.93 inference(tautology,[status(thm)],[])).
% 16.71/11.93 tff(29730,plain,
% 16.71/11.93 (v197(constB61)),
% 16.71/11.93 inference(unit_resolution,[status(thm)],[29729, 29728, 29680])).
% 16.71/11.93 tff(29731,plain,
% 16.71/11.93 ((v197(constB61) | v26(constB61)) | (~v197(constB61))),
% 16.71/11.93 inference(tautology,[status(thm)],[])).
% 16.71/11.93 tff(29732,plain,
% 16.71/11.93 (v197(constB61) | v26(constB61)),
% 16.71/11.93 inference(unit_resolution,[status(thm)],[29731, 29730])).
% 16.71/11.93 tff(29733,plain,
% 16.71/11.93 ((~(v196(constB61) <=> (v197(constB61) | v26(constB61)))) | v196(constB61) | (~(v197(constB61) | v26(constB61)))),
% 16.71/11.93 inference(tautology,[status(thm)],[])).
% 16.71/11.93 tff(29734,plain,
% 16.71/11.93 (v196(constB61)),
% 16.71/11.93 inference(unit_resolution,[status(thm)],[29733, 29732, 29678])).
% 16.71/11.93 tff(29735,plain,
% 16.71/11.93 ((~((~v195(constB61)) <=> v196(constB61))) | (~v195(constB61)) | (~v196(constB61))),
% 16.71/11.93 inference(tautology,[status(thm)],[])).
% 16.71/11.93 tff(29736,plain,
% 16.71/11.93 (~v195(constB61)),
% 16.71/11.93 inference(unit_resolution,[status(thm)],[29735, 29734, 29676])).
% 16.71/11.93 tff(29737,plain,
% 16.71/11.93 (((~v157(constB61)) | (~v195(constB61))) | v195(constB61)),
% 16.71/11.93 inference(tautology,[status(thm)],[])).
% 16.71/11.93 tff(29738,plain,
% 16.71/11.93 ((~v157(constB61)) | (~v195(constB61))),
% 16.71/11.93 inference(unit_resolution,[status(thm)],[29737, 29736])).
% 16.71/11.93 tff(29739,plain,
% 16.71/11.93 ((~(v194(constB61) <=> (~((~v157(constB61)) | (~v195(constB61)))))) | (~v194(constB61)) | (~((~v157(constB61)) | (~v195(constB61))))),
% 16.71/11.93 inference(tautology,[status(thm)],[])).
% 16.71/11.93 tff(29740,plain,
% 16.71/11.93 (~v194(constB61)),
% 16.71/11.93 inference(unit_resolution,[status(thm)],[29739, 29738, 29674])).
% 16.71/11.93 tff(29741,plain,
% 16.71/11.93 ((~![VarCurr: $i] : (v198(VarCurr) <=> (~((~v199(VarCurr)) | (~v200(VarCurr)))))) | (v198(constB61) <=> (~((~v199(constB61)) | (~v200(constB61)))))),
% 16.71/11.93 inference(quant_inst,[status(thm)],[])).
% 16.71/11.93 tff(29742,plain,
% 16.71/11.93 (v198(constB61) <=> (~((~v199(constB61)) | (~v200(constB61))))),
% 16.71/11.93 inference(unit_resolution,[status(thm)],[29741, 96])).
% 16.71/11.93 tff(29743,plain,
% 16.71/11.93 ((~![VarCurr: $i] : (v200(VarCurr) <=> (~((~v197(VarCurr)) | (~v201(VarCurr)))))) | (v200(constB61) <=> (~((~v197(constB61)) | (~v201(constB61)))))),
% 16.71/11.93 inference(quant_inst,[status(thm)],[])).
% 16.71/11.93 tff(29744,plain,
% 16.71/11.93 (v200(constB61) <=> (~((~v197(constB61)) | (~v201(constB61))))),
% 16.71/11.93 inference(unit_resolution,[status(thm)],[29743, 108])).
% 16.71/11.93 tff(29745,plain,
% 16.71/11.93 ((~![VarCurr: $i] : (v201(VarCurr) <=> (~((~v159(VarCurr)) | (~v161(VarCurr)))))) | (v201(constB61) <=> (~((~v159(constB61)) | (~v161(constB61)))))),
% 16.71/11.93 inference(quant_inst,[status(thm)],[])).
% 16.71/11.93 tff(29746,plain,
% 16.71/11.93 (v201(constB61) <=> (~((~v159(constB61)) | (~v161(constB61))))),
% 16.71/11.93 inference(unit_resolution,[status(thm)],[29745, 348])).
% 16.71/11.93 tff(29747,plain,
% 16.71/11.93 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v179(VarNext) <=> v180(VarNext)))) | ((~nextState(constB60, constB61)) | (v179(constB61) <=> v180(constB61)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v179(VarNext) <=> v180(VarNext)))) | (~nextState(constB60, constB61)) | (v179(constB61) <=> v180(constB61)))),
% 16.71/11.93 inference(rewrite,[status(thm)],[])).
% 16.71/11.93 tff(29748,plain,
% 16.71/11.93 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v179(VarNext) <=> v180(VarNext)))) | ((~nextState(constB60, constB61)) | (v179(constB61) <=> v180(constB61)))),
% 16.71/11.93 inference(quant_inst,[status(thm)],[])).
% 16.71/11.93 tff(29749,plain,
% 16.71/11.93 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v179(VarNext) <=> v180(VarNext)))) | (~nextState(constB60, constB61)) | (v179(constB61) <=> v180(constB61))),
% 16.71/11.93 inference(modus_ponens,[status(thm)],[29748, 29747])).
% 16.71/11.93 tff(29750,plain,
% 16.71/11.93 (v179(constB61) <=> v180(constB61)),
% 16.71/11.93 inference(unit_resolution,[status(thm)],[29749, 2186, 13536])).
% 16.71/11.93 tff(29751,plain,
% 16.71/11.93 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> (~((~v181(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB60, constB61)) | (v180(constB61) <=> (~((~v1(constB61)) | (~v181(constB61))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> (~((~v181(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB60, constB61)) | (v180(constB61) <=> (~((~v1(constB61)) | (~v181(constB61))))))),
% 16.71/11.93 inference(rewrite,[status(thm)],[])).
% 16.71/11.93 tff(29752,plain,
% 16.71/11.93 (((~nextState(constB60, constB61)) | (v180(constB61) <=> (~((~v181(constB61)) | (~v1(constB61)))))) <=> ((~nextState(constB60, constB61)) | (v180(constB61) <=> (~((~v1(constB61)) | (~v181(constB61))))))),
% 16.71/11.93 inference(rewrite,[status(thm)],[])).
% 16.71/11.93 tff(29753,plain,
% 16.71/11.93 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> (~((~v181(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB60, constB61)) | (v180(constB61) <=> (~((~v181(constB61)) | (~v1(constB61))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> (~((~v181(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB60, constB61)) | (v180(constB61) <=> (~((~v1(constB61)) | (~v181(constB61)))))))),
% 16.71/11.93 inference(monotonicity,[status(thm)],[29752])).
% 16.71/11.93 tff(29754,plain,
% 16.71/11.93 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> (~((~v181(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB60, constB61)) | (v180(constB61) <=> (~((~v181(constB61)) | (~v1(constB61))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> (~((~v181(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB60, constB61)) | (v180(constB61) <=> (~((~v1(constB61)) | (~v181(constB61))))))),
% 16.71/11.93 inference(transitivity,[status(thm)],[29753, 29751])).
% 16.71/11.93 tff(29755,plain,
% 16.71/11.93 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> (~((~v181(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB60, constB61)) | (v180(constB61) <=> (~((~v181(constB61)) | (~v1(constB61))))))),
% 16.71/11.93 inference(quant_inst,[status(thm)],[])).
% 16.71/11.93 tff(29756,plain,
% 16.71/11.93 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> (~((~v181(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB60, constB61)) | (v180(constB61) <=> (~((~v1(constB61)) | (~v181(constB61)))))),
% 16.71/11.93 inference(modus_ponens,[status(thm)],[29755, 29754])).
% 16.71/11.93 tff(29757,plain,
% 16.71/11.93 (v180(constB61) <=> (~((~v1(constB61)) | (~v181(constB61))))),
% 16.71/11.93 inference(unit_resolution,[status(thm)],[29756, 2186, 13556])).
% 16.71/11.93 tff(29758,plain,
% 16.71/11.93 (((~v1(constB61)) | (~v181(constB61))) | v1(constB61)),
% 16.71/11.93 inference(tautology,[status(thm)],[])).
% 16.71/11.93 tff(29759,plain,
% 16.71/11.93 ((~v1(constB61)) | (~v181(constB61))),
% 16.71/11.93 inference(unit_resolution,[status(thm)],[29758, 2147])).
% 16.71/11.93 tff(29760,plain,
% 16.71/11.93 ((~(v180(constB61) <=> (~((~v1(constB61)) | (~v181(constB61)))))) | (~v180(constB61)) | (~((~v1(constB61)) | (~v181(constB61))))),
% 16.71/11.93 inference(tautology,[status(thm)],[])).
% 16.71/11.93 tff(29761,plain,
% 16.71/11.93 ((~(v180(constB61) <=> (~((~v1(constB61)) | (~v181(constB61)))))) | (~v180(constB61))),
% 16.71/11.93 inference(unit_resolution,[status(thm)],[29760, 29759])).
% 16.71/11.93 tff(29762,plain,
% 16.71/11.93 (~v180(constB61)),
% 16.71/11.93 inference(unit_resolution,[status(thm)],[29761, 29757])).
% 16.71/11.93 tff(29763,plain,
% 16.71/11.93 ((~(v179(constB61) <=> v180(constB61))) | (~v179(constB61)) | v180(constB61)),
% 16.71/11.93 inference(tautology,[status(thm)],[])).
% 16.71/11.93 tff(29764,plain,
% 16.71/11.93 (~v179(constB61)),
% 16.71/11.93 inference(unit_resolution,[status(thm)],[29763, 29762, 29750])).
% 16.71/11.93 tff(29765,plain,
% 16.71/11.93 (((~![VarCurr: $i, VarNext: $i] : ((v159(VarNext) <=> v159(VarCurr)) | v179(VarNext) | (~nextState(VarCurr, VarNext)))) | ((~nextState(constB60, constB61)) | v179(constB61) | (v159(constB61) <=> v159(constB60)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((v159(VarNext) <=> v159(VarCurr)) | v179(VarNext) | (~nextState(VarCurr, VarNext)))) | (~nextState(constB60, constB61)) | v179(constB61) | (v159(constB61) <=> v159(constB60)))),
% 16.71/11.93 inference(rewrite,[status(thm)],[])).
% 16.71/11.93 tff(29766,plain,
% 16.71/11.93 (((v159(constB61) <=> v159(constB60)) | v179(constB61) | (~nextState(constB60, constB61))) <=> ((~nextState(constB60, constB61)) | v179(constB61) | (v159(constB61) <=> v159(constB60)))),
% 16.71/11.93 inference(rewrite,[status(thm)],[])).
% 16.71/11.93 tff(29767,plain,
% 16.71/11.93 (((~![VarCurr: $i, VarNext: $i] : ((v159(VarNext) <=> v159(VarCurr)) | v179(VarNext) | (~nextState(VarCurr, VarNext)))) | ((v159(constB61) <=> v159(constB60)) | v179(constB61) | (~nextState(constB60, constB61)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((v159(VarNext) <=> v159(VarCurr)) | v179(VarNext) | (~nextState(VarCurr, VarNext)))) | ((~nextState(constB60, constB61)) | v179(constB61) | (v159(constB61) <=> v159(constB60))))),
% 16.71/11.93 inference(monotonicity,[status(thm)],[29766])).
% 16.71/11.93 tff(29768,plain,
% 16.71/11.93 (((~![VarCurr: $i, VarNext: $i] : ((v159(VarNext) <=> v159(VarCurr)) | v179(VarNext) | (~nextState(VarCurr, VarNext)))) | ((v159(constB61) <=> v159(constB60)) | v179(constB61) | (~nextState(constB60, constB61)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((v159(VarNext) <=> v159(VarCurr)) | v179(VarNext) | (~nextState(VarCurr, VarNext)))) | (~nextState(constB60, constB61)) | v179(constB61) | (v159(constB61) <=> v159(constB60)))),
% 16.71/11.93 inference(transitivity,[status(thm)],[29767, 29765])).
% 16.71/11.93 tff(29769,plain,
% 16.71/11.93 ((~![VarCurr: $i, VarNext: $i] : ((v159(VarNext) <=> v159(VarCurr)) | v179(VarNext) | (~nextState(VarCurr, VarNext)))) | ((v159(constB61) <=> v159(constB60)) | v179(constB61) | (~nextState(constB60, constB61)))),
% 16.71/11.93 inference(quant_inst,[status(thm)],[])).
% 16.71/11.93 tff(29770,plain,
% 16.71/11.93 ((~![VarCurr: $i, VarNext: $i] : ((v159(VarNext) <=> v159(VarCurr)) | v179(VarNext) | (~nextState(VarCurr, VarNext)))) | (~nextState(constB60, constB61)) | v179(constB61) | (v159(constB61) <=> v159(constB60))),
% 16.71/11.93 inference(modus_ponens,[status(thm)],[29769, 29768])).
% 16.71/11.93 tff(29771,plain,
% 16.71/11.93 (v179(constB61) | (v159(constB61) <=> v159(constB60))),
% 16.71/11.93 inference(unit_resolution,[status(thm)],[29770, 2186, 13580])).
% 16.71/11.93 tff(29772,plain,
% 16.71/11.93 (v159(constB61) <=> v159(constB60)),
% 16.71/11.93 inference(unit_resolution,[status(thm)],[29771, 29764])).
% 16.71/11.93 tff(29773,plain,
% 16.71/11.93 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v179(VarNext) <=> v180(VarNext)))) | ((~nextState(constB59, constB60)) | (v179(constB60) <=> v180(constB60)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v179(VarNext) <=> v180(VarNext)))) | (~nextState(constB59, constB60)) | (v179(constB60) <=> v180(constB60)))),
% 16.71/11.93 inference(rewrite,[status(thm)],[])).
% 16.71/11.93 tff(29774,plain,
% 16.71/11.93 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v179(VarNext) <=> v180(VarNext)))) | ((~nextState(constB59, constB60)) | (v179(constB60) <=> v180(constB60)))),
% 16.71/11.93 inference(quant_inst,[status(thm)],[])).
% 16.71/11.93 tff(29775,plain,
% 16.71/11.93 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v179(VarNext) <=> v180(VarNext)))) | (~nextState(constB59, constB60)) | (v179(constB60) <=> v180(constB60))),
% 16.71/11.93 inference(modus_ponens,[status(thm)],[29774, 29773])).
% 16.71/11.93 tff(29776,plain,
% 16.71/11.93 (v179(constB60) <=> v180(constB60)),
% 16.71/11.93 inference(unit_resolution,[status(thm)],[29775, 2218, 13536])).
% 16.71/11.93 tff(29777,plain,
% 16.71/11.93 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> (~((~v181(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB59, constB60)) | (v180(constB60) <=> (~((~v1(constB60)) | (~v181(constB60))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> (~((~v181(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB59, constB60)) | (v180(constB60) <=> (~((~v1(constB60)) | (~v181(constB60))))))),
% 16.71/11.93 inference(rewrite,[status(thm)],[])).
% 16.71/11.93 tff(29778,plain,
% 16.71/11.93 (((~nextState(constB59, constB60)) | (v180(constB60) <=> (~((~v181(constB60)) | (~v1(constB60)))))) <=> ((~nextState(constB59, constB60)) | (v180(constB60) <=> (~((~v1(constB60)) | (~v181(constB60))))))),
% 16.71/11.93 inference(rewrite,[status(thm)],[])).
% 16.71/11.93 tff(29779,plain,
% 16.71/11.93 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> (~((~v181(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB59, constB60)) | (v180(constB60) <=> (~((~v181(constB60)) | (~v1(constB60))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> (~((~v181(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB59, constB60)) | (v180(constB60) <=> (~((~v1(constB60)) | (~v181(constB60)))))))),
% 16.71/11.93 inference(monotonicity,[status(thm)],[29778])).
% 16.71/11.93 tff(29780,plain,
% 16.71/11.93 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> (~((~v181(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB59, constB60)) | (v180(constB60) <=> (~((~v181(constB60)) | (~v1(constB60))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> (~((~v181(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB59, constB60)) | (v180(constB60) <=> (~((~v1(constB60)) | (~v181(constB60))))))),
% 16.71/11.93 inference(transitivity,[status(thm)],[29779, 29777])).
% 16.71/11.93 tff(29781,plain,
% 16.71/11.93 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> (~((~v181(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB59, constB60)) | (v180(constB60) <=> (~((~v181(constB60)) | (~v1(constB60))))))),
% 16.71/11.93 inference(quant_inst,[status(thm)],[])).
% 16.71/11.93 tff(29782,plain,
% 16.71/11.93 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> (~((~v181(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB59, constB60)) | (v180(constB60) <=> (~((~v1(constB60)) | (~v181(constB60)))))),
% 16.71/11.93 inference(modus_ponens,[status(thm)],[29781, 29780])).
% 16.71/11.93 tff(29783,plain,
% 16.71/11.93 (v180(constB60) <=> (~((~v1(constB60)) | (~v181(constB60))))),
% 16.71/11.93 inference(unit_resolution,[status(thm)],[29782, 2218, 13556])).
% 16.71/11.93 tff(29784,plain,
% 16.71/11.93 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v181(VarNext)) <=> v104(VarNext)))) | ((~nextState(constB59, constB60)) | ((~v181(constB60)) <=> v104(constB60)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v181(VarNext)) <=> v104(VarNext)))) | (~nextState(constB59, constB60)) | ((~v181(constB60)) <=> v104(constB60)))),
% 16.71/11.93 inference(rewrite,[status(thm)],[])).
% 16.71/11.93 tff(29785,plain,
% 16.71/11.93 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v181(VarNext)) <=> v104(VarNext)))) | ((~nextState(constB59, constB60)) | ((~v181(constB60)) <=> v104(constB60)))),
% 16.71/11.93 inference(quant_inst,[status(thm)],[])).
% 16.71/11.93 tff(29786,plain,
% 16.71/11.93 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v181(VarNext)) <=> v104(VarNext)))) | (~nextState(constB59, constB60)) | ((~v181(constB60)) <=> v104(constB60))),
% 16.71/11.93 inference(modus_ponens,[status(thm)],[29785, 29784])).
% 16.71/11.93 tff(29787,plain,
% 16.71/11.93 ((~v181(constB60)) <=> v104(constB60)),
% 16.71/11.93 inference(unit_resolution,[status(thm)],[29786, 2218, 13612])).
% 16.71/11.93 tff(29788,plain,
% 16.71/11.93 ((~((~v181(constB60)) <=> v104(constB60))) | v181(constB60) | v104(constB60)),
% 16.71/11.94 inference(tautology,[status(thm)],[])).
% 16.71/11.94 tff(29789,plain,
% 16.71/11.94 (v181(constB60)),
% 16.71/11.94 inference(unit_resolution,[status(thm)],[29788, 2243, 29787])).
% 16.71/11.94 tff(29790,plain,
% 16.71/11.94 ((~((~v1(constB60)) | (~v181(constB60)))) | (~v1(constB60)) | (~v181(constB60))),
% 16.71/11.94 inference(tautology,[status(thm)],[])).
% 16.71/11.94 tff(29791,plain,
% 16.71/11.94 ((~((~v1(constB60)) | (~v181(constB60)))) | (~v181(constB60))),
% 16.71/11.94 inference(unit_resolution,[status(thm)],[29790, 2248])).
% 16.71/11.94 tff(29792,plain,
% 16.71/11.94 (~((~v1(constB60)) | (~v181(constB60)))),
% 16.71/11.94 inference(unit_resolution,[status(thm)],[29791, 29789])).
% 16.71/11.94 tff(29793,plain,
% 16.71/11.94 ((~(v180(constB60) <=> (~((~v1(constB60)) | (~v181(constB60)))))) | v180(constB60) | ((~v1(constB60)) | (~v181(constB60)))),
% 16.71/11.94 inference(tautology,[status(thm)],[])).
% 16.71/11.94 tff(29794,plain,
% 16.71/11.94 (v180(constB60)),
% 16.71/11.94 inference(unit_resolution,[status(thm)],[29793, 29792, 29783])).
% 16.71/11.94 tff(29795,plain,
% 16.71/11.94 ((~(v179(constB60) <=> v180(constB60))) | v179(constB60) | (~v180(constB60))),
% 16.71/11.94 inference(tautology,[status(thm)],[])).
% 16.71/11.94 tff(29796,plain,
% 16.71/11.94 (v179(constB60)),
% 16.71/11.94 inference(unit_resolution,[status(thm)],[29795, 29794, 29776])).
% 16.71/11.94 tff(29797,plain,
% 16.71/11.94 (((~![VarNext: $i] : ((~v179(VarNext)) | (v159(VarNext) <=> v186(VarNext)))) | ((~v179(constB60)) | (v159(constB60) <=> v186(constB60)))) <=> ((~![VarNext: $i] : ((~v179(VarNext)) | (v159(VarNext) <=> v186(VarNext)))) | (~v179(constB60)) | (v159(constB60) <=> v186(constB60)))),
% 16.71/11.94 inference(rewrite,[status(thm)],[])).
% 16.71/11.94 tff(29798,plain,
% 16.71/11.94 ((~![VarNext: $i] : ((~v179(VarNext)) | (v159(VarNext) <=> v186(VarNext)))) | ((~v179(constB60)) | (v159(constB60) <=> v186(constB60)))),
% 16.71/11.94 inference(quant_inst,[status(thm)],[])).
% 16.71/11.94 tff(29799,plain,
% 16.71/11.94 ((~![VarNext: $i] : ((~v179(VarNext)) | (v159(VarNext) <=> v186(VarNext)))) | (~v179(constB60)) | (v159(constB60) <=> v186(constB60))),
% 16.71/11.94 inference(modus_ponens,[status(thm)],[29798, 29797])).
% 16.71/11.94 tff(29800,plain,
% 16.71/11.94 (v159(constB60) <=> v186(constB60)),
% 16.71/11.94 inference(unit_resolution,[status(thm)],[29799, 13648, 29796])).
% 16.71/11.94 tff(29801,plain,
% 16.71/11.94 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v186(VarNext) <=> v161(VarCurr)))) | ((~nextState(constB59, constB60)) | (v186(constB60) <=> v161(constB59)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v186(VarNext) <=> v161(VarCurr)))) | (~nextState(constB59, constB60)) | (v186(constB60) <=> v161(constB59)))),
% 16.71/11.94 inference(rewrite,[status(thm)],[])).
% 16.71/11.94 tff(29802,plain,
% 16.71/11.94 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v186(VarNext) <=> v161(VarCurr)))) | ((~nextState(constB59, constB60)) | (v186(constB60) <=> v161(constB59)))),
% 16.71/11.94 inference(quant_inst,[status(thm)],[])).
% 16.71/11.94 tff(29803,plain,
% 16.71/11.94 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v186(VarNext) <=> v161(VarCurr)))) | (~nextState(constB59, constB60)) | (v186(constB60) <=> v161(constB59))),
% 16.71/11.94 inference(modus_ponens,[status(thm)],[29802, 29801])).
% 16.71/11.94 tff(29804,plain,
% 16.71/11.94 (v186(constB60) <=> v161(constB59)),
% 16.71/11.94 inference(unit_resolution,[status(thm)],[29803, 2218, 13662])).
% 16.71/11.94 tff(29805,plain,
% 16.71/11.94 ((~![VarCurr: $i] : (v161(VarCurr) <=> v163(VarCurr))) | (v161(constB59) <=> v163(constB59))),
% 16.71/11.94 inference(quant_inst,[status(thm)],[])).
% 16.71/11.94 tff(29806,plain,
% 16.71/11.94 (v161(constB59) <=> v163(constB59)),
% 16.71/11.94 inference(unit_resolution,[status(thm)],[29805, 357])).
% 16.71/11.94 tff(29807,plain,
% 16.71/11.94 ((~![VarCurr: $i] : (v171(VarCurr) <=> (v142(VarCurr) | v150(VarCurr)))) | (v171(constB59) <=> (v142(constB59) | v150(constB59)))),
% 16.71/11.94 inference(quant_inst,[status(thm)],[])).
% 16.71/11.94 tff(29808,plain,
% 16.71/11.94 (v171(constB59) <=> (v142(constB59) | v150(constB59))),
% 16.71/11.94 inference(unit_resolution,[status(thm)],[29807, 369])).
% 16.71/11.94 tff(29809,plain,
% 16.71/11.94 ((~![VarCurr: $i] : (v142(VarCurr) <=> (v143(VarCurr) | v144(VarCurr)))) | (v142(constB59) <=> (v143(constB59) | v144(constB59)))),
% 16.71/11.94 inference(quant_inst,[status(thm)],[])).
% 16.71/11.94 tff(29810,plain,
% 16.71/11.94 (v142(constB59) <=> (v143(constB59) | v144(constB59))),
% 16.71/11.94 inference(unit_resolution,[status(thm)],[29809, 378])).
% 16.71/11.94 tff(29811,plain,
% 16.71/11.94 (((~![VarCurr: $i] : (v143(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)))))) | (v143(constB59) <=> (~(v88(constB59, bitIndex2) | (~v88(constB59, bitIndex1)) | v88(constB59, bitIndex0))))) <=> ((~![VarCurr: $i] : (v143(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)))))) | (v143(constB59) <=> (~(v88(constB59, bitIndex2) | (~v88(constB59, bitIndex1)) | v88(constB59, bitIndex0)))))),
% 16.71/11.94 inference(rewrite,[status(thm)],[])).
% 16.71/11.94 tff(29812,plain,
% 16.71/11.94 ((v143(constB59) <=> (~(v88(constB59, bitIndex0) | v88(constB59, bitIndex2) | (~v88(constB59, bitIndex1))))) <=> (v143(constB59) <=> (~(v88(constB59, bitIndex2) | (~v88(constB59, bitIndex1)) | v88(constB59, bitIndex0))))),
% 16.71/11.94 inference(rewrite,[status(thm)],[])).
% 16.71/11.94 tff(29813,plain,
% 16.71/11.94 (((~![VarCurr: $i] : (v143(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)))))) | (v143(constB59) <=> (~(v88(constB59, bitIndex0) | v88(constB59, bitIndex2) | (~v88(constB59, bitIndex1)))))) <=> ((~![VarCurr: $i] : (v143(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)))))) | (v143(constB59) <=> (~(v88(constB59, bitIndex2) | (~v88(constB59, bitIndex1)) | v88(constB59, bitIndex0)))))),
% 16.71/11.94 inference(monotonicity,[status(thm)],[29812])).
% 16.71/11.94 tff(29814,plain,
% 16.71/11.94 (((~![VarCurr: $i] : (v143(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)))))) | (v143(constB59) <=> (~(v88(constB59, bitIndex0) | v88(constB59, bitIndex2) | (~v88(constB59, bitIndex1)))))) <=> ((~![VarCurr: $i] : (v143(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)))))) | (v143(constB59) <=> (~(v88(constB59, bitIndex2) | (~v88(constB59, bitIndex1)) | v88(constB59, bitIndex0)))))),
% 16.71/11.94 inference(transitivity,[status(thm)],[29813, 29811])).
% 16.71/11.94 tff(29815,plain,
% 16.71/11.94 ((~![VarCurr: $i] : (v143(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)))))) | (v143(constB59) <=> (~(v88(constB59, bitIndex0) | v88(constB59, bitIndex2) | (~v88(constB59, bitIndex1)))))),
% 16.71/11.94 inference(quant_inst,[status(thm)],[])).
% 16.71/11.94 tff(29816,plain,
% 16.71/11.94 ((~![VarCurr: $i] : (v143(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)))))) | (v143(constB59) <=> (~(v88(constB59, bitIndex2) | (~v88(constB59, bitIndex1)) | v88(constB59, bitIndex0))))),
% 16.71/11.94 inference(modus_ponens,[status(thm)],[29815, 29814])).
% 16.71/11.94 tff(29817,plain,
% 16.71/11.94 (v143(constB59) <=> (~(v88(constB59, bitIndex2) | (~v88(constB59, bitIndex1)) | v88(constB59, bitIndex0)))),
% 16.71/11.94 inference(unit_resolution,[status(thm)],[29816, 20665])).
% 16.71/11.94 tff(29818,plain,
% 16.71/11.94 (((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | ((~less_3(bitIndex2)) | (v88(constB59, bitIndex2) <=> v90(constB59, bitIndex2)))) <=> ((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | (~less_3(bitIndex2)) | (v88(constB59, bitIndex2) <=> v90(constB59, bitIndex2)))),
% 16.71/11.94 inference(rewrite,[status(thm)],[])).
% 16.71/11.94 tff(29819,plain,
% 16.71/11.94 ((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | ((~less_3(bitIndex2)) | (v88(constB59, bitIndex2) <=> v90(constB59, bitIndex2)))),
% 16.71/11.94 inference(quant_inst,[status(thm)],[])).
% 16.71/11.94 tff(29820,plain,
% 16.71/11.94 ((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | (~less_3(bitIndex2)) | (v88(constB59, bitIndex2) <=> v90(constB59, bitIndex2))),
% 16.71/11.94 inference(modus_ponens,[status(thm)],[29819, 29818])).
% 16.71/11.94 tff(29821,plain,
% 16.71/11.94 (v88(constB59, bitIndex2) <=> v90(constB59, bitIndex2)),
% 16.71/11.94 inference(unit_resolution,[status(thm)],[29820, 413, 410])).
% 16.71/11.94 tff(29822,plain,
% 16.71/11.94 ((~(v88(constB59, bitIndex2) <=> v90(constB59, bitIndex2))) | (~v88(constB59, bitIndex2)) | v90(constB59, bitIndex2)),
% 16.71/11.94 inference(tautology,[status(thm)],[])).
% 16.71/11.94 tff(29823,plain,
% 16.71/11.94 (~v88(constB59, bitIndex2)),
% 16.71/11.94 inference(unit_resolution,[status(thm)],[29822, 10011, 29821])).
% 16.71/11.94 tff(29824,plain,
% 16.71/11.94 (((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | ((~less_3(bitIndex0)) | (v88(constB59, bitIndex0) <=> v90(constB59, bitIndex0)))) <=> ((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | (~less_3(bitIndex0)) | (v88(constB59, bitIndex0) <=> v90(constB59, bitIndex0)))),
% 16.71/11.94 inference(rewrite,[status(thm)],[])).
% 16.71/11.94 tff(29825,plain,
% 16.71/11.94 ((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | ((~less_3(bitIndex0)) | (v88(constB59, bitIndex0) <=> v90(constB59, bitIndex0)))),
% 16.71/11.94 inference(quant_inst,[status(thm)],[])).
% 16.71/11.94 tff(29826,plain,
% 16.71/11.94 ((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | (~less_3(bitIndex0)) | (v88(constB59, bitIndex0) <=> v90(constB59, bitIndex0))),
% 16.71/11.94 inference(modus_ponens,[status(thm)],[29825, 29824])).
% 16.71/11.94 tff(29827,plain,
% 16.71/11.94 (v88(constB59, bitIndex0) <=> v90(constB59, bitIndex0)),
% 16.71/11.94 inference(unit_resolution,[status(thm)],[29826, 5004, 410])).
% 16.71/11.94 tff(29828,plain,
% 16.71/11.94 ((~(v88(constB59, bitIndex0) <=> v90(constB59, bitIndex0))) | (~v88(constB59, bitIndex0)) | v90(constB59, bitIndex0)),
% 16.71/11.94 inference(tautology,[status(thm)],[])).
% 16.71/11.94 tff(29829,plain,
% 16.71/11.94 (~v88(constB59, bitIndex0)),
% 16.71/11.94 inference(unit_resolution,[status(thm)],[29828, 10042, 29827])).
% 16.71/11.94 tff(29830,plain,
% 16.71/11.94 (((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | ((~less_3(bitIndex1)) | (v88(constB59, bitIndex1) <=> v90(constB59, bitIndex1)))) <=> ((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | (~less_3(bitIndex1)) | (v88(constB59, bitIndex1) <=> v90(constB59, bitIndex1)))),
% 16.71/11.94 inference(rewrite,[status(thm)],[])).
% 16.71/11.94 tff(29831,plain,
% 16.71/11.94 ((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | ((~less_3(bitIndex1)) | (v88(constB59, bitIndex1) <=> v90(constB59, bitIndex1)))),
% 16.71/11.94 inference(quant_inst,[status(thm)],[])).
% 16.71/11.94 tff(29832,plain,
% 16.71/11.94 ((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | (~less_3(bitIndex1)) | (v88(constB59, bitIndex1) <=> v90(constB59, bitIndex1))),
% 16.71/11.94 inference(modus_ponens,[status(thm)],[29831, 29830])).
% 16.71/11.94 tff(29833,plain,
% 16.71/11.94 (v88(constB59, bitIndex1) <=> v90(constB59, bitIndex1)),
% 16.71/11.94 inference(unit_resolution,[status(thm)],[29832, 5017, 410])).
% 16.71/11.94 tff(29834,plain,
% 16.71/11.94 ((~(v88(constB59, bitIndex1) <=> v90(constB59, bitIndex1))) | v88(constB59, bitIndex1) | (~v90(constB59, bitIndex1))),
% 16.71/11.94 inference(tautology,[status(thm)],[])).
% 16.71/11.94 tff(29835,plain,
% 16.71/11.94 (v88(constB59, bitIndex1)),
% 16.71/11.94 inference(unit_resolution,[status(thm)],[29834, 10073, 29833])).
% 16.71/11.94 tff(29836,plain,
% 16.71/11.94 ((~(v88(constB59, bitIndex2) | (~v88(constB59, bitIndex1)) | v88(constB59, bitIndex0))) | v88(constB59, bitIndex2) | (~v88(constB59, bitIndex1)) | v88(constB59, bitIndex0)),
% 16.71/11.94 inference(tautology,[status(thm)],[])).
% 16.71/11.94 tff(29837,plain,
% 16.71/11.94 (~(v88(constB59, bitIndex2) | (~v88(constB59, bitIndex1)) | v88(constB59, bitIndex0))),
% 16.71/11.94 inference(unit_resolution,[status(thm)],[29836, 29835, 29829, 29823])).
% 16.71/11.94 tff(29838,plain,
% 16.71/11.94 ((~(v143(constB59) <=> (~(v88(constB59, bitIndex2) | (~v88(constB59, bitIndex1)) | v88(constB59, bitIndex0))))) | v143(constB59) | (v88(constB59, bitIndex2) | (~v88(constB59, bitIndex1)) | v88(constB59, bitIndex0))),
% 16.71/11.94 inference(tautology,[status(thm)],[])).
% 16.71/11.94 tff(29839,plain,
% 16.71/11.94 (v143(constB59)),
% 16.71/11.94 inference(unit_resolution,[status(thm)],[29838, 29837, 29817])).
% 16.71/11.94 tff(29840,plain,
% 16.71/11.94 ((v143(constB59) | v144(constB59)) | (~v143(constB59))),
% 16.71/11.94 inference(tautology,[status(thm)],[])).
% 16.71/11.94 tff(29841,plain,
% 16.71/11.94 (v143(constB59) | v144(constB59)),
% 16.71/11.94 inference(unit_resolution,[status(thm)],[29840, 29839])).
% 16.71/11.94 tff(29842,plain,
% 16.71/11.94 ((~(v142(constB59) <=> (v143(constB59) | v144(constB59)))) | v142(constB59) | (~(v143(constB59) | v144(constB59)))),
% 16.71/11.94 inference(tautology,[status(thm)],[])).
% 16.71/11.94 tff(29843,plain,
% 16.71/11.94 (v142(constB59)),
% 16.71/11.94 inference(unit_resolution,[status(thm)],[29842, 29841, 29810])).
% 16.71/11.94 tff(29844,plain,
% 16.71/11.94 ((v142(constB59) | v150(constB59)) | (~v142(constB59))),
% 16.71/11.94 inference(tautology,[status(thm)],[])).
% 16.71/11.94 tff(29845,plain,
% 16.71/11.94 (v142(constB59) | v150(constB59)),
% 16.71/11.94 inference(unit_resolution,[status(thm)],[29844, 29843])).
% 16.71/11.94 tff(29846,plain,
% 16.71/11.94 ((~(v171(constB59) <=> (v142(constB59) | v150(constB59)))) | v171(constB59) | (~(v142(constB59) | v150(constB59)))),
% 16.71/11.94 inference(tautology,[status(thm)],[])).
% 16.71/11.94 tff(29847,plain,
% 16.71/11.94 (v171(constB59)),
% 16.71/11.94 inference(unit_resolution,[status(thm)],[29846, 29845, 29808])).
% 16.71/11.94 tff(29848,plain,
% 16.71/11.94 (((~![VarCurr: $i] : ((~v171(VarCurr)) | (~v170(VarCurr)))) | ((~v170(constB59)) | (~v171(constB59)))) <=> ((~![VarCurr: $i] : ((~v171(VarCurr)) | (~v170(VarCurr)))) | (~v170(constB59)) | (~v171(constB59)))),
% 16.71/11.94 inference(rewrite,[status(thm)],[])).
% 16.71/11.94 tff(29849,plain,
% 16.71/11.94 (((~v171(constB59)) | (~v170(constB59))) <=> ((~v170(constB59)) | (~v171(constB59)))),
% 16.71/11.94 inference(rewrite,[status(thm)],[])).
% 16.71/11.94 tff(29850,plain,
% 16.71/11.94 (((~![VarCurr: $i] : ((~v171(VarCurr)) | (~v170(VarCurr)))) | ((~v171(constB59)) | (~v170(constB59)))) <=> ((~![VarCurr: $i] : ((~v171(VarCurr)) | (~v170(VarCurr)))) | ((~v170(constB59)) | (~v171(constB59))))),
% 16.71/11.94 inference(monotonicity,[status(thm)],[29849])).
% 16.71/11.94 tff(29851,plain,
% 16.71/11.94 (((~![VarCurr: $i] : ((~v171(VarCurr)) | (~v170(VarCurr)))) | ((~v171(constB59)) | (~v170(constB59)))) <=> ((~![VarCurr: $i] : ((~v171(VarCurr)) | (~v170(VarCurr)))) | (~v170(constB59)) | (~v171(constB59)))),
% 16.71/11.94 inference(transitivity,[status(thm)],[29850, 29848])).
% 16.71/11.94 tff(29852,plain,
% 16.71/11.94 ((~![VarCurr: $i] : ((~v171(VarCurr)) | (~v170(VarCurr)))) | ((~v171(constB59)) | (~v170(constB59)))),
% 16.71/11.94 inference(quant_inst,[status(thm)],[])).
% 16.71/11.94 tff(29853,plain,
% 16.71/11.94 ((~![VarCurr: $i] : ((~v171(VarCurr)) | (~v170(VarCurr)))) | (~v170(constB59)) | (~v171(constB59))),
% 16.71/11.94 inference(modus_ponens,[status(thm)],[29852, 29851])).
% 16.71/11.94 tff(29854,plain,
% 16.71/11.94 ((~v170(constB59)) | (~v171(constB59))),
% 16.71/11.94 inference(unit_resolution,[status(thm)],[29853, 13061])).
% 16.71/11.94 tff(29855,plain,
% 16.71/11.94 (~v170(constB59)),
% 16.71/11.94 inference(unit_resolution,[status(thm)],[29854, 29847])).
% 16.71/11.94 tff(29856,plain,
% 16.71/11.94 ((~![VarCurr: $i] : (v166(VarCurr) <=> (v145(VarCurr) | v167(VarCurr)))) | (v166(constB59) <=> (v145(constB59) | v167(constB59)))),
% 16.71/11.94 inference(quant_inst,[status(thm)],[])).
% 16.71/11.94 tff(29857,plain,
% 16.71/11.94 (v166(constB59) <=> (v145(constB59) | v167(constB59))),
% 16.71/11.94 inference(unit_resolution,[status(thm)],[29856, 13079])).
% 16.71/11.94 tff(29858,plain,
% 16.71/11.94 ((~![VarCurr: $i] : (v167(VarCurr) <=> (v142(VarCurr) | v168(VarCurr)))) | (v167(constB59) <=> (v142(constB59) | v168(constB59)))),
% 16.71/11.94 inference(quant_inst,[status(thm)],[])).
% 16.71/11.94 tff(29859,plain,
% 16.71/11.94 (v167(constB59) <=> (v142(constB59) | v168(constB59))),
% 16.71/11.94 inference(unit_resolution,[status(thm)],[29858, 13091])).
% 16.71/11.94 tff(29860,plain,
% 16.71/11.94 ((v142(constB59) | v168(constB59)) | (~v142(constB59))),
% 16.71/11.94 inference(tautology,[status(thm)],[])).
% 16.71/11.94 tff(29861,plain,
% 16.71/11.94 (v142(constB59) | v168(constB59)),
% 16.71/11.94 inference(unit_resolution,[status(thm)],[29860, 29843])).
% 16.71/11.94 tff(29862,plain,
% 16.71/11.94 ((~(v167(constB59) <=> (v142(constB59) | v168(constB59)))) | v167(constB59) | (~(v142(constB59) | v168(constB59)))),
% 16.71/11.94 inference(tautology,[status(thm)],[])).
% 16.71/11.94 tff(29863,plain,
% 16.71/11.94 (v167(constB59)),
% 16.71/11.94 inference(unit_resolution,[status(thm)],[29862, 29861, 29859])).
% 16.71/11.94 tff(29864,plain,
% 16.71/11.94 ((v145(constB59) | v167(constB59)) | (~v167(constB59))),
% 16.71/11.94 inference(tautology,[status(thm)],[])).
% 16.71/11.94 tff(29865,plain,
% 16.71/11.94 (v145(constB59) | v167(constB59)),
% 16.71/11.94 inference(unit_resolution,[status(thm)],[29864, 29863])).
% 16.71/11.94 tff(29866,plain,
% 16.71/11.94 ((~(v166(constB59) <=> (v145(constB59) | v167(constB59)))) | v166(constB59) | (~(v145(constB59) | v167(constB59)))),
% 16.71/11.94 inference(tautology,[status(thm)],[])).
% 16.71/11.94 tff(29867,plain,
% 16.71/11.94 (v166(constB59)),
% 16.71/11.94 inference(unit_resolution,[status(thm)],[29866, 29865, 29857])).
% 16.71/11.94 tff(29868,plain,
% 16.71/11.94 (((~![VarNext: $i] : ((~v166(VarNext)) | (v163(VarNext) <=> v170(VarNext)))) | ((~v166(constB59)) | (v163(constB59) <=> v170(constB59)))) <=> ((~![VarNext: $i] : ((~v166(VarNext)) | (v163(VarNext) <=> v170(VarNext)))) | (~v166(constB59)) | (v163(constB59) <=> v170(constB59)))),
% 16.71/11.94 inference(rewrite,[status(thm)],[])).
% 16.71/11.94 tff(29869,plain,
% 16.71/11.94 ((~![VarNext: $i] : ((~v166(VarNext)) | (v163(VarNext) <=> v170(VarNext)))) | ((~v166(constB59)) | (v163(constB59) <=> v170(constB59)))),
% 16.71/11.95 inference(quant_inst,[status(thm)],[])).
% 16.71/11.95 tff(29870,plain,
% 16.71/11.95 ((~![VarNext: $i] : ((~v166(VarNext)) | (v163(VarNext) <=> v170(VarNext)))) | (~v166(constB59)) | (v163(constB59) <=> v170(constB59))),
% 16.71/11.95 inference(modus_ponens,[status(thm)],[29869, 29868])).
% 16.71/11.95 tff(29871,plain,
% 16.71/11.95 ((~v166(constB59)) | (v163(constB59) <=> v170(constB59))),
% 16.71/11.95 inference(unit_resolution,[status(thm)],[29870, 13111])).
% 16.71/11.95 tff(29872,plain,
% 16.71/11.95 (v163(constB59) <=> v170(constB59)),
% 16.71/11.95 inference(unit_resolution,[status(thm)],[29871, 29867])).
% 16.71/11.95 tff(29873,plain,
% 16.71/11.95 ((~(v163(constB59) <=> v170(constB59))) | (~v163(constB59)) | v170(constB59)),
% 16.71/11.95 inference(tautology,[status(thm)],[])).
% 16.71/11.95 tff(29874,plain,
% 16.71/11.95 (~v163(constB59)),
% 16.71/11.95 inference(unit_resolution,[status(thm)],[29873, 29872, 29855])).
% 16.71/11.95 tff(29875,plain,
% 16.71/11.95 ((~(v161(constB59) <=> v163(constB59))) | (~v161(constB59)) | v163(constB59)),
% 16.71/11.95 inference(tautology,[status(thm)],[])).
% 16.71/11.95 tff(29876,plain,
% 16.71/11.95 (~v161(constB59)),
% 16.71/11.95 inference(unit_resolution,[status(thm)],[29875, 29874, 29806])).
% 16.71/11.95 tff(29877,plain,
% 16.71/11.95 ((~(v186(constB60) <=> v161(constB59))) | (~v186(constB60)) | v161(constB59)),
% 16.71/11.95 inference(tautology,[status(thm)],[])).
% 16.71/11.95 tff(29878,plain,
% 16.71/11.95 (~v186(constB60)),
% 16.71/11.95 inference(unit_resolution,[status(thm)],[29877, 29876, 29804])).
% 16.71/11.95 tff(29879,plain,
% 16.71/11.95 ((~(v159(constB60) <=> v186(constB60))) | (~v159(constB60)) | v186(constB60)),
% 16.71/11.95 inference(tautology,[status(thm)],[])).
% 16.71/11.95 tff(29880,plain,
% 16.71/11.95 (~v159(constB60)),
% 16.71/11.95 inference(unit_resolution,[status(thm)],[29879, 29878, 29800])).
% 16.71/11.95 tff(29881,plain,
% 16.71/11.95 ((~(v159(constB61) <=> v159(constB60))) | (~v159(constB61)) | v159(constB60)),
% 16.71/11.95 inference(tautology,[status(thm)],[])).
% 16.71/11.95 tff(29882,plain,
% 16.71/11.95 (~v159(constB61)),
% 16.71/11.95 inference(unit_resolution,[status(thm)],[29881, 29880, 29772])).
% 16.71/11.95 tff(29883,plain,
% 16.71/11.95 (((~v159(constB61)) | (~v161(constB61))) | v159(constB61)),
% 16.71/11.95 inference(tautology,[status(thm)],[])).
% 16.71/11.95 tff(29884,plain,
% 16.71/11.95 ((~v159(constB61)) | (~v161(constB61))),
% 16.71/11.95 inference(unit_resolution,[status(thm)],[29883, 29882])).
% 16.71/11.95 tff(29885,plain,
% 16.71/11.95 ((~(v201(constB61) <=> (~((~v159(constB61)) | (~v161(constB61)))))) | (~v201(constB61)) | (~((~v159(constB61)) | (~v161(constB61))))),
% 16.71/11.95 inference(tautology,[status(thm)],[])).
% 16.71/11.95 tff(29886,plain,
% 16.71/11.95 (~v201(constB61)),
% 16.71/11.95 inference(unit_resolution,[status(thm)],[29885, 29884, 29746])).
% 16.71/11.95 tff(29887,plain,
% 16.71/11.95 (((~v197(constB61)) | (~v201(constB61))) | v201(constB61)),
% 16.71/11.95 inference(tautology,[status(thm)],[])).
% 16.71/11.95 tff(29888,plain,
% 16.71/11.95 ((~v197(constB61)) | (~v201(constB61))),
% 16.71/11.95 inference(unit_resolution,[status(thm)],[29887, 29886])).
% 16.71/11.95 tff(29889,plain,
% 16.71/11.95 ((~(v200(constB61) <=> (~((~v197(constB61)) | (~v201(constB61)))))) | (~v200(constB61)) | (~((~v197(constB61)) | (~v201(constB61))))),
% 16.71/11.95 inference(tautology,[status(thm)],[])).
% 16.71/11.95 tff(29890,plain,
% 16.71/11.95 (~v200(constB61)),
% 16.71/11.95 inference(unit_resolution,[status(thm)],[29889, 29888, 29744])).
% 16.71/11.95 tff(29891,plain,
% 16.71/11.95 (((~v199(constB61)) | (~v200(constB61))) | v200(constB61)),
% 16.71/11.95 inference(tautology,[status(thm)],[])).
% 16.71/11.95 tff(29892,plain,
% 16.71/11.95 ((~v199(constB61)) | (~v200(constB61))),
% 16.71/11.95 inference(unit_resolution,[status(thm)],[29891, 29890])).
% 16.71/11.95 tff(29893,plain,
% 16.71/11.95 ((~(v198(constB61) <=> (~((~v199(constB61)) | (~v200(constB61)))))) | (~v198(constB61)) | (~((~v199(constB61)) | (~v200(constB61))))),
% 16.71/11.95 inference(tautology,[status(thm)],[])).
% 16.71/11.95 tff(29894,plain,
% 16.71/11.95 (~v198(constB61)),
% 16.71/11.95 inference(unit_resolution,[status(thm)],[29893, 29892, 29742])).
% 16.71/11.95 tff(29895,plain,
% 16.71/11.95 ((~(v194(constB61) | v198(constB61))) | v194(constB61) | v198(constB61)),
% 16.71/11.95 inference(tautology,[status(thm)],[])).
% 16.71/11.95 tff(29896,plain,
% 16.71/11.95 (~(v194(constB61) | v198(constB61))),
% 16.71/11.95 inference(unit_resolution,[status(thm)],[29895, 29894, 29740])).
% 16.71/11.95 tff(29897,plain,
% 16.71/11.95 ((~(v191(constB61) <=> (v194(constB61) | v198(constB61)))) | (~v191(constB61)) | (v194(constB61) | v198(constB61))),
% 16.71/11.95 inference(tautology,[status(thm)],[])).
% 16.71/11.95 tff(29898,plain,
% 16.71/11.95 (~v191(constB61)),
% 16.71/11.95 inference(unit_resolution,[status(thm)],[29897, 29896, 29667])).
% 16.71/11.95 tff(29899,plain,
% 16.71/11.95 ((~(v193(constB62) <=> v191(constB61))) | (~v193(constB62)) | v191(constB61)),
% 16.71/11.95 inference(tautology,[status(thm)],[])).
% 16.71/11.95 tff(29900,plain,
% 16.71/11.95 (~v193(constB62)),
% 16.71/11.95 inference(unit_resolution,[status(thm)],[29899, 29898, 29665])).
% 16.71/11.95 tff(29901,plain,
% 16.71/11.95 ((~(v157(constB62) <=> v193(constB62))) | (~v157(constB62)) | v193(constB62)),
% 16.71/11.95 inference(tautology,[status(thm)],[])).
% 16.71/11.95 tff(29902,plain,
% 16.71/11.95 (~v157(constB62)),
% 16.71/11.95 inference(unit_resolution,[status(thm)],[29901, 29900, 29661])).
% 16.71/11.95 tff(29903,plain,
% 16.71/11.95 (((~v157(constB62)) | (~v195(constB62))) | v157(constB62)),
% 16.71/11.95 inference(tautology,[status(thm)],[])).
% 16.71/11.95 tff(29904,plain,
% 16.71/11.95 ((~v157(constB62)) | (~v195(constB62))),
% 16.71/11.95 inference(unit_resolution,[status(thm)],[29903, 29902])).
% 16.71/11.95 tff(29905,plain,
% 16.71/11.95 ((~(v194(constB62) <=> (~((~v157(constB62)) | (~v195(constB62)))))) | (~v194(constB62)) | (~((~v157(constB62)) | (~v195(constB62))))),
% 16.71/11.95 inference(tautology,[status(thm)],[])).
% 16.71/11.95 tff(29906,plain,
% 16.71/11.95 (~v194(constB62)),
% 16.71/11.95 inference(unit_resolution,[status(thm)],[29905, 29904, 29659])).
% 16.71/11.95 tff(29907,plain,
% 16.71/11.95 ((~(v194(constB62) | v198(constB62))) | v194(constB62) | v198(constB62)),
% 16.71/11.95 inference(tautology,[status(thm)],[])).
% 16.71/11.95 tff(29908,plain,
% 16.71/11.95 (~(v194(constB62) | v198(constB62))),
% 16.71/11.95 inference(unit_resolution,[status(thm)],[29907, 29906, 29652])).
% 16.71/11.95 tff(29909,plain,
% 16.71/11.95 ((~(v191(constB62) <=> (v194(constB62) | v198(constB62)))) | (~v191(constB62)) | (v194(constB62) | v198(constB62))),
% 16.71/11.95 inference(tautology,[status(thm)],[])).
% 16.71/11.95 tff(29910,plain,
% 16.71/11.95 (~v191(constB62)),
% 16.71/11.95 inference(unit_resolution,[status(thm)],[29909, 29908, 29627])).
% 16.71/11.95 tff(29911,plain,
% 16.71/11.95 ((~(v193(constB63) <=> v191(constB62))) | (~v193(constB63)) | v191(constB62)),
% 16.71/11.95 inference(tautology,[status(thm)],[])).
% 16.71/11.95 tff(29912,plain,
% 16.71/11.95 (~v193(constB63)),
% 16.71/11.95 inference(unit_resolution,[status(thm)],[29911, 29910, 29625])).
% 16.71/11.95 tff(29913,plain,
% 16.71/11.95 ($false),
% 16.71/11.95 inference(unit_resolution,[status(thm)],[29912, 29621])).
% 16.71/11.95 tff(29914,plain,(~(constB63 = VarCurr!0)), inference(lemma,lemma(discharge,[]))).
% 16.71/11.95 tff(29915,assumption,(constB171 = VarCurr!0), introduced(assumption)).
% 16.71/11.95 tff(29916,plain,
% 16.71/11.95 (v193(constB171) <=> v193(VarCurr!0)),
% 16.71/11.95 inference(monotonicity,[status(thm)],[29915])).
% 16.71/11.95 tff(29917,plain,
% 16.71/11.95 (v193(VarCurr!0) <=> v193(constB171)),
% 16.71/11.95 inference(symmetry,[status(thm)],[29916])).
% 16.71/11.95 tff(29918,plain,
% 16.71/11.95 (v193(constB171)),
% 16.71/11.95 inference(modus_ponens,[status(thm)],[59, 29917])).
% 16.71/11.95 tff(29919,plain,
% 16.71/11.95 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v193(VarNext) <=> v191(VarCurr)))) | ((~nextState(constB170, constB171)) | (v193(constB171) <=> v191(constB170)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v193(VarNext) <=> v191(VarCurr)))) | (~nextState(constB170, constB171)) | (v193(constB171) <=> v191(constB170)))),
% 16.71/11.95 inference(rewrite,[status(thm)],[])).
% 16.71/11.95 tff(29920,plain,
% 16.71/11.95 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v193(VarNext) <=> v191(VarCurr)))) | ((~nextState(constB170, constB171)) | (v193(constB171) <=> v191(constB170)))),
% 16.71/11.95 inference(quant_inst,[status(thm)],[])).
% 16.71/11.95 tff(29921,plain,
% 16.71/11.95 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v193(VarNext) <=> v191(VarCurr)))) | (~nextState(constB170, constB171)) | (v193(constB171) <=> v191(constB170))),
% 16.71/11.95 inference(modus_ponens,[status(thm)],[29920, 29919])).
% 16.71/11.95 tff(29922,plain,
% 16.71/11.95 (v193(constB171) <=> v191(constB170)),
% 16.71/11.95 inference(unit_resolution,[status(thm)],[29921, 24942, 70])).
% 16.71/11.95 tff(29923,plain,
% 16.71/11.95 ((~![VarCurr: $i] : (v191(VarCurr) <=> (v194(VarCurr) | v198(VarCurr)))) | (v191(constB170) <=> (v194(constB170) | v198(constB170)))),
% 16.71/11.95 inference(quant_inst,[status(thm)],[])).
% 16.71/11.95 tff(29924,plain,
% 16.71/11.95 (v191(constB170) <=> (v194(constB170) | v198(constB170))),
% 16.71/11.95 inference(unit_resolution,[status(thm)],[29923, 84])).
% 16.71/11.95 tff(29925,plain,
% 16.71/11.95 ((~![VarCurr: $i] : (v198(VarCurr) <=> (~((~v199(VarCurr)) | (~v200(VarCurr)))))) | (v198(constB170) <=> (~((~v199(constB170)) | (~v200(constB170)))))),
% 16.71/11.95 inference(quant_inst,[status(thm)],[])).
% 16.71/11.95 tff(29926,plain,
% 16.71/11.95 (v198(constB170) <=> (~((~v199(constB170)) | (~v200(constB170))))),
% 16.71/11.95 inference(unit_resolution,[status(thm)],[29925, 96])).
% 16.71/11.95 tff(29927,plain,
% 16.71/11.95 ((~![VarCurr: $i] : (v200(VarCurr) <=> (~((~v197(VarCurr)) | (~v201(VarCurr)))))) | (v200(constB170) <=> (~((~v197(constB170)) | (~v201(constB170)))))),
% 16.71/11.95 inference(quant_inst,[status(thm)],[])).
% 16.71/11.95 tff(29928,plain,
% 16.71/11.95 (v200(constB170) <=> (~((~v197(constB170)) | (~v201(constB170))))),
% 16.71/11.95 inference(unit_resolution,[status(thm)],[29927, 108])).
% 16.71/11.95 tff(29929,plain,
% 16.71/11.95 ((~![VarCurr: $i] : (v197(VarCurr) <=> (~((~v39(VarCurr)) | (~v9(VarCurr)))))) | (v197(constB170) <=> (~((~v39(constB170)) | (~v9(constB170)))))),
% 16.71/11.95 inference(quant_inst,[status(thm)],[])).
% 16.71/11.95 tff(29930,plain,
% 16.71/11.95 (v197(constB170) <=> (~((~v39(constB170)) | (~v9(constB170))))),
% 16.71/11.95 inference(unit_resolution,[status(thm)],[29929, 120])).
% 16.71/11.95 tff(29931,plain,
% 16.71/11.95 ((~![VarCurr: $i] : ((~v39(VarCurr)) <=> v1(VarCurr))) | ((~v39(constB170)) <=> v1(constB170))),
% 16.71/11.95 inference(quant_inst,[status(thm)],[])).
% 16.71/11.95 tff(29932,plain,
% 16.71/11.95 ((~v39(constB170)) <=> v1(constB170)),
% 16.71/11.95 inference(unit_resolution,[status(thm)],[29931, 129])).
% 16.71/11.95 tff(29933,plain,
% 16.71/11.95 ((~((~v39(constB170)) <=> v1(constB170))) | (~v39(constB170)) | (~v1(constB170))),
% 16.71/11.95 inference(tautology,[status(thm)],[])).
% 16.71/11.95 tff(29934,plain,
% 16.71/11.95 ((~((~v39(constB170)) <=> v1(constB170))) | (~v39(constB170))),
% 16.71/11.95 inference(unit_resolution,[status(thm)],[29933, 25001])).
% 16.71/11.95 tff(29935,plain,
% 16.71/11.95 (~v39(constB170)),
% 16.71/11.95 inference(unit_resolution,[status(thm)],[29934, 29932])).
% 16.71/11.95 tff(29936,plain,
% 16.71/11.95 (((~v39(constB170)) | (~v9(constB170))) | v39(constB170)),
% 16.71/11.95 inference(tautology,[status(thm)],[])).
% 16.71/11.95 tff(29937,plain,
% 16.71/11.95 ((~v39(constB170)) | (~v9(constB170))),
% 16.71/11.95 inference(unit_resolution,[status(thm)],[29936, 29935])).
% 16.71/11.95 tff(29938,plain,
% 16.71/11.95 ((~(v197(constB170) <=> (~((~v39(constB170)) | (~v9(constB170)))))) | (~v197(constB170)) | (~((~v39(constB170)) | (~v9(constB170))))),
% 16.71/11.95 inference(tautology,[status(thm)],[])).
% 16.71/11.95 tff(29939,plain,
% 16.71/11.95 ((~(v197(constB170) <=> (~((~v39(constB170)) | (~v9(constB170)))))) | (~v197(constB170))),
% 16.71/11.95 inference(unit_resolution,[status(thm)],[29938, 29937])).
% 16.71/11.95 tff(29940,plain,
% 16.71/11.95 (~v197(constB170)),
% 16.71/11.95 inference(unit_resolution,[status(thm)],[29939, 29930])).
% 16.71/11.95 tff(29941,plain,
% 16.71/11.95 (((~v197(constB170)) | (~v201(constB170))) | v197(constB170)),
% 16.71/11.95 inference(tautology,[status(thm)],[])).
% 16.71/11.95 tff(29942,plain,
% 16.71/11.95 ((~v197(constB170)) | (~v201(constB170))),
% 16.71/11.95 inference(unit_resolution,[status(thm)],[29941, 29940])).
% 16.71/11.95 tff(29943,plain,
% 16.71/11.95 ((~(v200(constB170) <=> (~((~v197(constB170)) | (~v201(constB170)))))) | (~v200(constB170)) | (~((~v197(constB170)) | (~v201(constB170))))),
% 16.71/11.95 inference(tautology,[status(thm)],[])).
% 16.71/11.95 tff(29944,plain,
% 16.71/11.95 ((~(v200(constB170) <=> (~((~v197(constB170)) | (~v201(constB170)))))) | (~v200(constB170))),
% 16.71/11.95 inference(unit_resolution,[status(thm)],[29943, 29942])).
% 16.71/11.95 tff(29945,plain,
% 16.71/11.95 (~v200(constB170)),
% 16.71/11.95 inference(unit_resolution,[status(thm)],[29944, 29928])).
% 16.71/11.95 tff(29946,plain,
% 16.71/11.95 (((~v199(constB170)) | (~v200(constB170))) | v200(constB170)),
% 16.71/11.95 inference(tautology,[status(thm)],[])).
% 16.71/11.95 tff(29947,plain,
% 16.71/11.95 ((~v199(constB170)) | (~v200(constB170))),
% 16.71/11.95 inference(unit_resolution,[status(thm)],[29946, 29945])).
% 16.71/11.95 tff(29948,plain,
% 16.71/11.95 ((~(v198(constB170) <=> (~((~v199(constB170)) | (~v200(constB170)))))) | (~v198(constB170)) | (~((~v199(constB170)) | (~v200(constB170))))),
% 16.71/11.95 inference(tautology,[status(thm)],[])).
% 16.71/11.95 tff(29949,plain,
% 16.71/11.95 (~v198(constB170)),
% 16.71/11.95 inference(unit_resolution,[status(thm)],[29948, 29947, 29926])).
% 16.71/11.95 tff(29950,plain,
% 16.71/11.95 (((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB170) <=> (~((~v157(constB170)) | (~v195(constB170)))))) <=> ((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB170) <=> (~((~v157(constB170)) | (~v195(constB170))))))),
% 16.71/11.95 inference(rewrite,[status(thm)],[])).
% 16.71/11.95 tff(29951,plain,
% 16.71/11.95 ((v194(constB170) <=> (~((~v195(constB170)) | (~v157(constB170))))) <=> (v194(constB170) <=> (~((~v157(constB170)) | (~v195(constB170)))))),
% 16.71/11.95 inference(rewrite,[status(thm)],[])).
% 16.71/11.95 tff(29952,plain,
% 16.71/11.95 (((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB170) <=> (~((~v195(constB170)) | (~v157(constB170)))))) <=> ((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB170) <=> (~((~v157(constB170)) | (~v195(constB170))))))),
% 16.71/11.95 inference(monotonicity,[status(thm)],[29951])).
% 16.71/11.95 tff(29953,plain,
% 16.71/11.95 (((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB170) <=> (~((~v195(constB170)) | (~v157(constB170)))))) <=> ((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB170) <=> (~((~v157(constB170)) | (~v195(constB170))))))),
% 16.71/11.95 inference(transitivity,[status(thm)],[29952, 29950])).
% 16.71/11.95 tff(29954,plain,
% 16.71/11.95 ((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB170) <=> (~((~v195(constB170)) | (~v157(constB170)))))),
% 16.71/11.95 inference(quant_inst,[status(thm)],[])).
% 16.71/11.95 tff(29955,plain,
% 16.71/11.95 ((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB170) <=> (~((~v157(constB170)) | (~v195(constB170)))))),
% 16.71/11.95 inference(modus_ponens,[status(thm)],[29954, 29953])).
% 16.71/11.95 tff(29956,plain,
% 16.71/11.95 (v194(constB170) <=> (~((~v157(constB170)) | (~v195(constB170))))),
% 16.71/11.95 inference(unit_resolution,[status(thm)],[29955, 161])).
% 16.71/11.95 tff(29957,plain,
% 16.71/11.95 ((~![VarNext: $i] : (v157(VarNext) <=> v193(VarNext))) | (v157(constB170) <=> v193(constB170))),
% 16.71/11.95 inference(quant_inst,[status(thm)],[])).
% 16.71/11.95 tff(29958,plain,
% 16.71/11.95 (v157(constB170) <=> v193(constB170)),
% 16.71/11.95 inference(unit_resolution,[status(thm)],[29957, 13])).
% 16.71/11.95 tff(29959,plain,
% 16.71/11.95 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v193(VarNext) <=> v191(VarCurr)))) | ((~nextState(constB169, constB170)) | (v193(constB170) <=> v191(constB169)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v193(VarNext) <=> v191(VarCurr)))) | (~nextState(constB169, constB170)) | (v193(constB170) <=> v191(constB169)))),
% 16.71/11.95 inference(rewrite,[status(thm)],[])).
% 16.71/11.95 tff(29960,plain,
% 16.71/11.95 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v193(VarNext) <=> v191(VarCurr)))) | ((~nextState(constB169, constB170)) | (v193(constB170) <=> v191(constB169)))),
% 16.71/11.95 inference(quant_inst,[status(thm)],[])).
% 16.71/11.95 tff(29961,plain,
% 16.71/11.95 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v193(VarNext) <=> v191(VarCurr)))) | (~nextState(constB169, constB170)) | (v193(constB170) <=> v191(constB169))),
% 16.71/11.95 inference(modus_ponens,[status(thm)],[29960, 29959])).
% 16.71/11.95 tff(29962,plain,
% 16.71/11.95 (v193(constB170) <=> v191(constB169)),
% 16.71/11.95 inference(unit_resolution,[status(thm)],[29961, 24974, 70])).
% 16.71/11.95 tff(29963,plain,
% 16.71/11.95 ((~![VarCurr: $i] : (v191(VarCurr) <=> (v194(VarCurr) | v198(VarCurr)))) | (v191(constB169) <=> (v194(constB169) | v198(constB169)))),
% 16.71/11.95 inference(quant_inst,[status(thm)],[])).
% 16.71/11.95 tff(29964,plain,
% 16.71/11.95 (v191(constB169) <=> (v194(constB169) | v198(constB169))),
% 16.71/11.95 inference(unit_resolution,[status(thm)],[29963, 84])).
% 16.71/11.95 tff(29965,plain,
% 16.71/11.95 (((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB169) <=> (~((~v157(constB169)) | (~v195(constB169)))))) <=> ((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB169) <=> (~((~v157(constB169)) | (~v195(constB169))))))),
% 16.71/11.95 inference(rewrite,[status(thm)],[])).
% 16.71/11.95 tff(29966,plain,
% 16.71/11.95 ((v194(constB169) <=> (~((~v195(constB169)) | (~v157(constB169))))) <=> (v194(constB169) <=> (~((~v157(constB169)) | (~v195(constB169)))))),
% 16.71/11.95 inference(rewrite,[status(thm)],[])).
% 16.71/11.95 tff(29967,plain,
% 16.71/11.95 (((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB169) <=> (~((~v195(constB169)) | (~v157(constB169)))))) <=> ((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB169) <=> (~((~v157(constB169)) | (~v195(constB169))))))),
% 16.71/11.95 inference(monotonicity,[status(thm)],[29966])).
% 16.71/11.95 tff(29968,plain,
% 16.71/11.95 (((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB169) <=> (~((~v195(constB169)) | (~v157(constB169)))))) <=> ((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB169) <=> (~((~v157(constB169)) | (~v195(constB169))))))),
% 16.71/11.95 inference(transitivity,[status(thm)],[29967, 29965])).
% 16.71/11.95 tff(29969,plain,
% 16.71/11.95 ((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB169) <=> (~((~v195(constB169)) | (~v157(constB169)))))),
% 16.71/11.95 inference(quant_inst,[status(thm)],[])).
% 16.71/11.95 tff(29970,plain,
% 16.71/11.95 ((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB169) <=> (~((~v157(constB169)) | (~v195(constB169)))))),
% 16.71/11.95 inference(modus_ponens,[status(thm)],[29969, 29968])).
% 16.71/11.95 tff(29971,plain,
% 16.71/11.95 (v194(constB169) <=> (~((~v157(constB169)) | (~v195(constB169))))),
% 16.71/11.95 inference(unit_resolution,[status(thm)],[29970, 161])).
% 16.71/11.95 tff(29972,plain,
% 16.71/11.95 ((~![VarCurr: $i] : ((~v195(VarCurr)) <=> v196(VarCurr))) | ((~v195(constB169)) <=> v196(constB169))),
% 16.71/11.95 inference(quant_inst,[status(thm)],[])).
% 16.71/11.95 tff(29973,plain,
% 16.71/11.95 ((~v195(constB169)) <=> v196(constB169)),
% 16.71/11.95 inference(unit_resolution,[status(thm)],[29972, 193])).
% 16.71/11.95 tff(29974,plain,
% 16.71/11.95 ((~![VarCurr: $i] : (v196(VarCurr) <=> (v197(VarCurr) | v26(VarCurr)))) | (v196(constB169) <=> (v197(constB169) | v26(constB169)))),
% 16.71/11.95 inference(quant_inst,[status(thm)],[])).
% 16.71/11.95 tff(29975,plain,
% 16.71/11.95 (v196(constB169) <=> (v197(constB169) | v26(constB169))),
% 16.71/11.95 inference(unit_resolution,[status(thm)],[29974, 202])).
% 16.71/11.95 tff(29976,plain,
% 16.71/11.95 ((~![VarCurr: $i] : (v197(VarCurr) <=> (~((~v39(VarCurr)) | (~v9(VarCurr)))))) | (v197(constB169) <=> (~((~v39(constB169)) | (~v9(constB169)))))),
% 16.71/11.95 inference(quant_inst,[status(thm)],[])).
% 16.71/11.95 tff(29977,plain,
% 16.71/11.95 (v197(constB169) <=> (~((~v39(constB169)) | (~v9(constB169))))),
% 16.71/11.95 inference(unit_resolution,[status(thm)],[29976, 120])).
% 16.71/11.95 tff(29978,plain,
% 16.71/11.95 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | ((~nextState(constB169, constB170)) | (v13(constB170) <=> v9(constB169)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | (~nextState(constB169, constB170)) | (v13(constB170) <=> v9(constB169)))),
% 16.71/11.95 inference(rewrite,[status(thm)],[])).
% 16.71/11.95 tff(29979,plain,
% 16.71/11.95 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | ((~nextState(constB169, constB170)) | (v13(constB170) <=> v9(constB169)))),
% 16.71/11.95 inference(quant_inst,[status(thm)],[])).
% 16.71/11.95 tff(29980,plain,
% 16.71/11.95 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | (~nextState(constB169, constB170)) | (v13(constB170) <=> v9(constB169))),
% 16.71/11.95 inference(modus_ponens,[status(thm)],[29979, 29978])).
% 16.71/11.95 tff(29981,plain,
% 16.71/11.95 (v13(constB170) <=> v9(constB169)),
% 16.71/11.95 inference(unit_resolution,[status(thm)],[29980, 24974, 216])).
% 16.71/11.95 tff(29982,plain,
% 16.71/11.95 ((~![VarNext: $i] : (v6(VarNext) <=> v13(VarNext))) | (v6(constB170) <=> v13(constB170))),
% 16.71/11.95 inference(quant_inst,[status(thm)],[])).
% 16.71/11.95 tff(29983,plain,
% 16.71/11.95 (v6(constB170) <=> v13(constB170)),
% 16.71/11.95 inference(unit_resolution,[status(thm)],[29982, 230])).
% 16.71/11.95 tff(29984,plain,
% 16.71/11.95 ((~![VarCurr: $i] : ((~v21(VarCurr)) <=> v6(VarCurr))) | ((~v21(constB170)) <=> v6(constB170))),
% 16.71/11.95 inference(quant_inst,[status(thm)],[])).
% 16.71/11.95 tff(29985,plain,
% 16.71/11.95 ((~v21(constB170)) <=> v6(constB170)),
% 16.71/11.95 inference(unit_resolution,[status(thm)],[29984, 239])).
% 16.71/11.95 tff(29986,plain,
% 16.71/11.95 ((~![VarCurr: $i] : (v19(VarCurr) <=> (v20(VarCurr) | v21(VarCurr)))) | (v19(constB170) <=> (v20(constB170) | v21(constB170)))),
% 16.71/11.95 inference(quant_inst,[status(thm)],[])).
% 16.71/11.95 tff(29987,plain,
% 16.71/11.95 (v19(constB170) <=> (v20(constB170) | v21(constB170))),
% 16.71/11.95 inference(unit_resolution,[status(thm)],[29986, 248])).
% 16.71/11.95 tff(29988,plain,
% 16.71/11.95 ((~![VarCurr: $i] : (v18(VarCurr) <=> (~((~v19(VarCurr)) | (~v22(VarCurr)))))) | (v18(constB170) <=> (~((~v19(constB170)) | (~v22(constB170)))))),
% 16.71/11.96 inference(quant_inst,[status(thm)],[])).
% 16.71/11.96 tff(29989,plain,
% 16.71/11.96 (v18(constB170) <=> (~((~v19(constB170)) | (~v22(constB170))))),
% 16.71/11.96 inference(unit_resolution,[status(thm)],[29988, 260])).
% 16.71/11.96 tff(29990,plain,
% 16.71/11.96 ((~![VarCurr: $i] : ((~v4(VarCurr)) <=> v18(VarCurr))) | ((~v4(constB170)) <=> v18(constB170))),
% 16.71/11.96 inference(quant_inst,[status(thm)],[])).
% 16.71/11.96 tff(29991,plain,
% 16.71/11.96 ((~v4(constB170)) <=> v18(constB170)),
% 16.71/11.96 inference(unit_resolution,[status(thm)],[29990, 269])).
% 16.71/11.96 tff(29992,plain,
% 16.71/11.96 ((~![VarCurr: $i] : v4(VarCurr)) | v4(constB170)),
% 16.71/11.96 inference(quant_inst,[status(thm)],[])).
% 16.71/11.96 tff(29993,plain,
% 16.71/11.96 (v4(constB170)),
% 16.71/11.96 inference(unit_resolution,[status(thm)],[29992, 278])).
% 16.71/11.96 tff(29994,plain,
% 16.71/11.96 ((~((~v4(constB170)) <=> v18(constB170))) | (~v4(constB170)) | (~v18(constB170))),
% 16.71/11.96 inference(tautology,[status(thm)],[])).
% 16.71/11.96 tff(29995,plain,
% 16.71/11.96 (~v18(constB170)),
% 16.71/11.96 inference(unit_resolution,[status(thm)],[29994, 29993, 29991])).
% 16.71/11.96 tff(29996,plain,
% 16.71/11.96 ((~(v18(constB170) <=> (~((~v19(constB170)) | (~v22(constB170)))))) | v18(constB170) | ((~v19(constB170)) | (~v22(constB170)))),
% 16.71/11.96 inference(tautology,[status(thm)],[])).
% 16.71/11.96 tff(29997,plain,
% 16.71/11.96 ((~v19(constB170)) | (~v22(constB170))),
% 16.71/11.96 inference(unit_resolution,[status(thm)],[29996, 29995, 29989])).
% 16.71/11.96 tff(29998,plain,
% 16.71/11.96 ((~![VarCurr: $i] : (v22(VarCurr) <=> (v1(VarCurr) | v6(VarCurr)))) | (v22(constB170) <=> (v1(constB170) | v6(constB170)))),
% 16.71/11.96 inference(quant_inst,[status(thm)],[])).
% 16.71/11.96 tff(29999,plain,
% 16.71/11.96 (v22(constB170) <=> (v1(constB170) | v6(constB170))),
% 16.71/11.96 inference(unit_resolution,[status(thm)],[29998, 291])).
% 16.71/11.96 tff(30000,plain,
% 16.71/11.96 ((v1(constB170) | v6(constB170)) | (~v1(constB170))),
% 16.71/11.96 inference(tautology,[status(thm)],[])).
% 16.71/11.96 tff(30001,plain,
% 16.71/11.96 (v1(constB170) | v6(constB170)),
% 16.71/11.96 inference(unit_resolution,[status(thm)],[30000, 25001])).
% 16.71/11.96 tff(30002,plain,
% 16.71/11.96 ((~(v22(constB170) <=> (v1(constB170) | v6(constB170)))) | v22(constB170) | (~(v1(constB170) | v6(constB170)))),
% 16.71/11.96 inference(tautology,[status(thm)],[])).
% 16.71/11.96 tff(30003,plain,
% 16.71/11.96 ((~(v22(constB170) <=> (v1(constB170) | v6(constB170)))) | v22(constB170)),
% 16.71/11.96 inference(unit_resolution,[status(thm)],[30002, 30001])).
% 16.71/11.96 tff(30004,plain,
% 16.71/11.96 (v22(constB170)),
% 16.71/11.96 inference(unit_resolution,[status(thm)],[30003, 29999])).
% 16.71/11.96 tff(30005,plain,
% 16.71/11.96 ((~((~v19(constB170)) | (~v22(constB170)))) | (~v19(constB170)) | (~v22(constB170))),
% 16.71/11.96 inference(tautology,[status(thm)],[])).
% 16.71/11.96 tff(30006,plain,
% 16.71/11.96 ((~((~v19(constB170)) | (~v22(constB170)))) | (~v19(constB170))),
% 16.71/11.96 inference(unit_resolution,[status(thm)],[30005, 30004])).
% 16.71/11.96 tff(30007,plain,
% 16.71/11.96 (~v19(constB170)),
% 16.71/11.96 inference(unit_resolution,[status(thm)],[30006, 29997])).
% 16.71/11.96 tff(30008,plain,
% 16.71/11.96 ((~(v19(constB170) <=> (v20(constB170) | v21(constB170)))) | v19(constB170) | (~(v20(constB170) | v21(constB170)))),
% 16.71/11.96 inference(tautology,[status(thm)],[])).
% 16.71/11.96 tff(30009,plain,
% 16.71/11.96 (~(v20(constB170) | v21(constB170))),
% 16.71/11.96 inference(unit_resolution,[status(thm)],[30008, 30007, 29987])).
% 16.71/11.96 tff(30010,plain,
% 16.71/11.96 ((v20(constB170) | v21(constB170)) | (~v21(constB170))),
% 16.71/11.96 inference(tautology,[status(thm)],[])).
% 16.71/11.96 tff(30011,plain,
% 16.71/11.96 (~v21(constB170)),
% 16.71/11.96 inference(unit_resolution,[status(thm)],[30010, 30009])).
% 16.71/11.96 tff(30012,plain,
% 16.71/11.96 ((~((~v21(constB170)) <=> v6(constB170))) | v21(constB170) | v6(constB170)),
% 16.71/11.96 inference(tautology,[status(thm)],[])).
% 16.71/11.96 tff(30013,plain,
% 16.71/11.96 (v6(constB170)),
% 16.71/11.96 inference(unit_resolution,[status(thm)],[30012, 30011, 29985])).
% 16.71/11.96 tff(30014,plain,
% 16.71/11.96 ((~(v6(constB170) <=> v13(constB170))) | (~v6(constB170)) | v13(constB170)),
% 16.71/11.96 inference(tautology,[status(thm)],[])).
% 16.71/11.96 tff(30015,plain,
% 16.71/11.96 (v13(constB170)),
% 16.71/11.96 inference(unit_resolution,[status(thm)],[30014, 30013, 29983])).
% 16.71/11.96 tff(30016,plain,
% 16.71/11.96 ((~(v13(constB170) <=> v9(constB169))) | (~v13(constB170)) | v9(constB169)),
% 16.71/11.96 inference(tautology,[status(thm)],[])).
% 16.71/11.96 tff(30017,plain,
% 16.71/11.96 (v9(constB169)),
% 16.71/11.96 inference(unit_resolution,[status(thm)],[30016, 30015, 29981])).
% 16.71/11.96 tff(30018,plain,
% 16.71/11.96 ((~![VarCurr: $i] : ((~v39(VarCurr)) <=> v1(VarCurr))) | ((~v39(constB169)) <=> v1(constB169))),
% 16.71/11.96 inference(quant_inst,[status(thm)],[])).
% 16.71/11.96 tff(30019,plain,
% 16.71/11.96 ((~v39(constB169)) <=> v1(constB169)),
% 16.71/11.96 inference(unit_resolution,[status(thm)],[30018, 129])).
% 16.71/11.96 tff(30020,plain,
% 16.71/11.96 ((~((~v39(constB169)) <=> v1(constB169))) | v39(constB169) | v1(constB169)),
% 16.71/11.96 inference(tautology,[status(thm)],[])).
% 16.71/11.96 tff(30021,plain,
% 16.71/11.96 ((~((~v39(constB169)) <=> v1(constB169))) | v39(constB169)),
% 16.71/11.96 inference(unit_resolution,[status(thm)],[30020, 20693])).
% 16.71/11.96 tff(30022,plain,
% 16.71/11.96 (v39(constB169)),
% 16.71/11.96 inference(unit_resolution,[status(thm)],[30021, 30019])).
% 16.71/11.96 tff(30023,plain,
% 16.71/11.96 ((~((~v39(constB169)) | (~v9(constB169)))) | (~v39(constB169)) | (~v9(constB169))),
% 16.71/11.96 inference(tautology,[status(thm)],[])).
% 16.71/11.96 tff(30024,plain,
% 16.71/11.96 ((~((~v39(constB169)) | (~v9(constB169)))) | (~v9(constB169))),
% 16.71/11.96 inference(unit_resolution,[status(thm)],[30023, 30022])).
% 16.71/11.96 tff(30025,plain,
% 16.71/11.96 (~((~v39(constB169)) | (~v9(constB169)))),
% 16.71/11.96 inference(unit_resolution,[status(thm)],[30024, 30017])).
% 16.71/11.96 tff(30026,plain,
% 16.71/11.96 ((~(v197(constB169) <=> (~((~v39(constB169)) | (~v9(constB169)))))) | v197(constB169) | ((~v39(constB169)) | (~v9(constB169)))),
% 16.71/11.96 inference(tautology,[status(thm)],[])).
% 16.71/11.96 tff(30027,plain,
% 16.71/11.96 (v197(constB169)),
% 16.71/11.96 inference(unit_resolution,[status(thm)],[30026, 30025, 29977])).
% 16.71/11.96 tff(30028,plain,
% 16.71/11.96 ((v197(constB169) | v26(constB169)) | (~v197(constB169))),
% 16.71/11.96 inference(tautology,[status(thm)],[])).
% 16.71/11.96 tff(30029,plain,
% 16.71/11.96 (v197(constB169) | v26(constB169)),
% 16.71/11.96 inference(unit_resolution,[status(thm)],[30028, 30027])).
% 16.71/11.96 tff(30030,plain,
% 16.71/11.96 ((~(v196(constB169) <=> (v197(constB169) | v26(constB169)))) | v196(constB169) | (~(v197(constB169) | v26(constB169)))),
% 16.71/11.96 inference(tautology,[status(thm)],[])).
% 16.71/11.96 tff(30031,plain,
% 16.71/11.96 (v196(constB169)),
% 16.71/11.96 inference(unit_resolution,[status(thm)],[30030, 30029, 29975])).
% 16.71/11.96 tff(30032,plain,
% 16.71/11.96 ((~((~v195(constB169)) <=> v196(constB169))) | (~v195(constB169)) | (~v196(constB169))),
% 16.71/11.96 inference(tautology,[status(thm)],[])).
% 16.71/11.96 tff(30033,plain,
% 16.71/11.96 (~v195(constB169)),
% 16.71/11.96 inference(unit_resolution,[status(thm)],[30032, 30031, 29973])).
% 16.71/11.96 tff(30034,plain,
% 16.71/11.96 (((~v157(constB169)) | (~v195(constB169))) | v195(constB169)),
% 16.71/11.96 inference(tautology,[status(thm)],[])).
% 16.71/11.96 tff(30035,plain,
% 16.71/11.96 ((~v157(constB169)) | (~v195(constB169))),
% 16.71/11.96 inference(unit_resolution,[status(thm)],[30034, 30033])).
% 16.71/11.96 tff(30036,plain,
% 16.71/11.96 ((~(v194(constB169) <=> (~((~v157(constB169)) | (~v195(constB169)))))) | (~v194(constB169)) | (~((~v157(constB169)) | (~v195(constB169))))),
% 16.71/11.96 inference(tautology,[status(thm)],[])).
% 16.71/11.96 tff(30037,plain,
% 16.71/11.96 (~v194(constB169)),
% 16.71/11.96 inference(unit_resolution,[status(thm)],[30036, 30035, 29971])).
% 16.71/11.96 tff(30038,plain,
% 16.71/11.96 ((~![VarCurr: $i] : (v198(VarCurr) <=> (~((~v199(VarCurr)) | (~v200(VarCurr)))))) | (v198(constB169) <=> (~((~v199(constB169)) | (~v200(constB169)))))),
% 16.71/11.96 inference(quant_inst,[status(thm)],[])).
% 16.71/11.96 tff(30039,plain,
% 16.71/11.96 (v198(constB169) <=> (~((~v199(constB169)) | (~v200(constB169))))),
% 16.71/11.96 inference(unit_resolution,[status(thm)],[30038, 96])).
% 16.71/11.96 tff(30040,plain,
% 16.71/11.96 ((~![VarCurr: $i] : (v200(VarCurr) <=> (~((~v197(VarCurr)) | (~v201(VarCurr)))))) | (v200(constB169) <=> (~((~v197(constB169)) | (~v201(constB169)))))),
% 16.71/11.96 inference(quant_inst,[status(thm)],[])).
% 16.71/11.96 tff(30041,plain,
% 16.71/11.96 (v200(constB169) <=> (~((~v197(constB169)) | (~v201(constB169))))),
% 16.71/11.96 inference(unit_resolution,[status(thm)],[30040, 108])).
% 16.71/11.96 tff(30042,plain,
% 16.71/11.96 ((~![VarCurr: $i] : (v201(VarCurr) <=> (~((~v159(VarCurr)) | (~v161(VarCurr)))))) | (v201(constB169) <=> (~((~v159(constB169)) | (~v161(constB169)))))),
% 16.71/11.96 inference(quant_inst,[status(thm)],[])).
% 16.71/11.96 tff(30043,plain,
% 16.71/11.96 (v201(constB169) <=> (~((~v159(constB169)) | (~v161(constB169))))),
% 16.71/11.96 inference(unit_resolution,[status(thm)],[30042, 348])).
% 16.71/11.96 tff(30044,plain,
% 16.71/11.96 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v179(VarNext) <=> v180(VarNext)))) | ((~nextState(constB168, constB169)) | (v179(constB169) <=> v180(constB169)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v179(VarNext) <=> v180(VarNext)))) | (~nextState(constB168, constB169)) | (v179(constB169) <=> v180(constB169)))),
% 16.71/11.96 inference(rewrite,[status(thm)],[])).
% 16.71/11.96 tff(30045,plain,
% 16.71/11.96 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v179(VarNext) <=> v180(VarNext)))) | ((~nextState(constB168, constB169)) | (v179(constB169) <=> v180(constB169)))),
% 16.71/11.96 inference(quant_inst,[status(thm)],[])).
% 16.71/11.96 tff(30046,plain,
% 16.71/11.96 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v179(VarNext) <=> v180(VarNext)))) | (~nextState(constB168, constB169)) | (v179(constB169) <=> v180(constB169))),
% 16.71/11.96 inference(modus_ponens,[status(thm)],[30045, 30044])).
% 16.71/11.96 tff(30047,plain,
% 16.71/11.96 (v179(constB169) <=> v180(constB169)),
% 16.71/11.96 inference(unit_resolution,[status(thm)],[30046, 20679, 13536])).
% 16.71/11.96 tff(30048,plain,
% 16.71/11.96 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> (~((~v181(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB168, constB169)) | (v180(constB169) <=> (~((~v1(constB169)) | (~v181(constB169))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> (~((~v181(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB168, constB169)) | (v180(constB169) <=> (~((~v1(constB169)) | (~v181(constB169))))))),
% 16.71/11.96 inference(rewrite,[status(thm)],[])).
% 16.71/11.96 tff(30049,plain,
% 16.71/11.96 (((~nextState(constB168, constB169)) | (v180(constB169) <=> (~((~v181(constB169)) | (~v1(constB169)))))) <=> ((~nextState(constB168, constB169)) | (v180(constB169) <=> (~((~v1(constB169)) | (~v181(constB169))))))),
% 16.71/11.96 inference(rewrite,[status(thm)],[])).
% 16.71/11.96 tff(30050,plain,
% 16.71/11.96 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> (~((~v181(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB168, constB169)) | (v180(constB169) <=> (~((~v181(constB169)) | (~v1(constB169))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> (~((~v181(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB168, constB169)) | (v180(constB169) <=> (~((~v1(constB169)) | (~v181(constB169)))))))),
% 16.71/11.96 inference(monotonicity,[status(thm)],[30049])).
% 16.71/11.96 tff(30051,plain,
% 16.71/11.96 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> (~((~v181(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB168, constB169)) | (v180(constB169) <=> (~((~v181(constB169)) | (~v1(constB169))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> (~((~v181(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB168, constB169)) | (v180(constB169) <=> (~((~v1(constB169)) | (~v181(constB169))))))),
% 16.71/11.96 inference(transitivity,[status(thm)],[30050, 30048])).
% 16.71/11.96 tff(30052,plain,
% 16.71/11.96 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> (~((~v181(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB168, constB169)) | (v180(constB169) <=> (~((~v181(constB169)) | (~v1(constB169))))))),
% 16.71/11.96 inference(quant_inst,[status(thm)],[])).
% 16.71/11.96 tff(30053,plain,
% 16.71/11.96 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> (~((~v181(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB168, constB169)) | (v180(constB169) <=> (~((~v1(constB169)) | (~v181(constB169)))))),
% 16.71/11.96 inference(modus_ponens,[status(thm)],[30052, 30051])).
% 16.71/11.96 tff(30054,plain,
% 16.71/11.96 (v180(constB169) <=> (~((~v1(constB169)) | (~v181(constB169))))),
% 16.71/11.96 inference(unit_resolution,[status(thm)],[30053, 20679, 13556])).
% 16.71/11.96 tff(30055,plain,
% 16.71/11.96 (((~v1(constB169)) | (~v181(constB169))) | v1(constB169)),
% 16.71/11.96 inference(tautology,[status(thm)],[])).
% 16.71/11.96 tff(30056,plain,
% 16.71/11.96 ((~v1(constB169)) | (~v181(constB169))),
% 16.71/11.96 inference(unit_resolution,[status(thm)],[30055, 20693])).
% 16.71/11.96 tff(30057,plain,
% 16.71/11.96 ((~(v180(constB169) <=> (~((~v1(constB169)) | (~v181(constB169)))))) | (~v180(constB169)) | (~((~v1(constB169)) | (~v181(constB169))))),
% 16.71/11.96 inference(tautology,[status(thm)],[])).
% 16.71/11.96 tff(30058,plain,
% 16.71/11.96 ((~(v180(constB169) <=> (~((~v1(constB169)) | (~v181(constB169)))))) | (~v180(constB169))),
% 16.71/11.96 inference(unit_resolution,[status(thm)],[30057, 30056])).
% 16.71/11.96 tff(30059,plain,
% 16.71/11.96 (~v180(constB169)),
% 16.71/11.96 inference(unit_resolution,[status(thm)],[30058, 30054])).
% 16.71/11.96 tff(30060,plain,
% 16.71/11.96 ((~(v179(constB169) <=> v180(constB169))) | (~v179(constB169)) | v180(constB169)),
% 16.71/11.96 inference(tautology,[status(thm)],[])).
% 16.71/11.96 tff(30061,plain,
% 16.71/11.96 (~v179(constB169)),
% 16.71/11.96 inference(unit_resolution,[status(thm)],[30060, 30059, 30047])).
% 16.71/11.96 tff(30062,plain,
% 16.71/11.96 (((~![VarCurr: $i, VarNext: $i] : ((v159(VarNext) <=> v159(VarCurr)) | v179(VarNext) | (~nextState(VarCurr, VarNext)))) | ((~nextState(constB168, constB169)) | v179(constB169) | (v159(constB169) <=> v159(constB168)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((v159(VarNext) <=> v159(VarCurr)) | v179(VarNext) | (~nextState(VarCurr, VarNext)))) | (~nextState(constB168, constB169)) | v179(constB169) | (v159(constB169) <=> v159(constB168)))),
% 16.71/11.96 inference(rewrite,[status(thm)],[])).
% 16.71/11.96 tff(30063,plain,
% 16.71/11.96 (((v159(constB169) <=> v159(constB168)) | v179(constB169) | (~nextState(constB168, constB169))) <=> ((~nextState(constB168, constB169)) | v179(constB169) | (v159(constB169) <=> v159(constB168)))),
% 16.71/11.96 inference(rewrite,[status(thm)],[])).
% 16.71/11.96 tff(30064,plain,
% 16.71/11.96 (((~![VarCurr: $i, VarNext: $i] : ((v159(VarNext) <=> v159(VarCurr)) | v179(VarNext) | (~nextState(VarCurr, VarNext)))) | ((v159(constB169) <=> v159(constB168)) | v179(constB169) | (~nextState(constB168, constB169)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((v159(VarNext) <=> v159(VarCurr)) | v179(VarNext) | (~nextState(VarCurr, VarNext)))) | ((~nextState(constB168, constB169)) | v179(constB169) | (v159(constB169) <=> v159(constB168))))),
% 16.71/11.96 inference(monotonicity,[status(thm)],[30063])).
% 16.71/11.96 tff(30065,plain,
% 16.71/11.96 (((~![VarCurr: $i, VarNext: $i] : ((v159(VarNext) <=> v159(VarCurr)) | v179(VarNext) | (~nextState(VarCurr, VarNext)))) | ((v159(constB169) <=> v159(constB168)) | v179(constB169) | (~nextState(constB168, constB169)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((v159(VarNext) <=> v159(VarCurr)) | v179(VarNext) | (~nextState(VarCurr, VarNext)))) | (~nextState(constB168, constB169)) | v179(constB169) | (v159(constB169) <=> v159(constB168)))),
% 16.71/11.96 inference(transitivity,[status(thm)],[30064, 30062])).
% 16.71/11.96 tff(30066,plain,
% 16.71/11.96 ((~![VarCurr: $i, VarNext: $i] : ((v159(VarNext) <=> v159(VarCurr)) | v179(VarNext) | (~nextState(VarCurr, VarNext)))) | ((v159(constB169) <=> v159(constB168)) | v179(constB169) | (~nextState(constB168, constB169)))),
% 16.71/11.96 inference(quant_inst,[status(thm)],[])).
% 16.71/11.96 tff(30067,plain,
% 16.71/11.96 ((~![VarCurr: $i, VarNext: $i] : ((v159(VarNext) <=> v159(VarCurr)) | v179(VarNext) | (~nextState(VarCurr, VarNext)))) | (~nextState(constB168, constB169)) | v179(constB169) | (v159(constB169) <=> v159(constB168))),
% 16.71/11.96 inference(modus_ponens,[status(thm)],[30066, 30065])).
% 16.71/11.96 tff(30068,plain,
% 16.71/11.96 (v179(constB169) | (v159(constB169) <=> v159(constB168))),
% 16.71/11.96 inference(unit_resolution,[status(thm)],[30067, 20679, 13580])).
% 16.71/11.96 tff(30069,plain,
% 16.71/11.96 (v159(constB169) <=> v159(constB168)),
% 16.71/11.96 inference(unit_resolution,[status(thm)],[30068, 30061])).
% 16.71/11.96 tff(30070,plain,
% 16.71/11.96 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v179(VarNext) <=> v180(VarNext)))) | ((~nextState(constB167, constB168)) | (v179(constB168) <=> v180(constB168)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v179(VarNext) <=> v180(VarNext)))) | (~nextState(constB167, constB168)) | (v179(constB168) <=> v180(constB168)))),
% 16.71/11.96 inference(rewrite,[status(thm)],[])).
% 16.71/11.96 tff(30071,plain,
% 16.71/11.96 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v179(VarNext) <=> v180(VarNext)))) | ((~nextState(constB167, constB168)) | (v179(constB168) <=> v180(constB168)))),
% 16.71/11.96 inference(quant_inst,[status(thm)],[])).
% 16.71/11.96 tff(30072,plain,
% 16.71/11.96 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v179(VarNext) <=> v180(VarNext)))) | (~nextState(constB167, constB168)) | (v179(constB168) <=> v180(constB168))),
% 16.71/11.96 inference(modus_ponens,[status(thm)],[30071, 30070])).
% 16.71/11.96 tff(30073,plain,
% 16.71/11.96 (v179(constB168) <=> v180(constB168)),
% 16.71/11.96 inference(unit_resolution,[status(thm)],[30072, 20714, 13536])).
% 16.71/11.96 tff(30074,plain,
% 16.71/11.96 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> (~((~v181(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB167, constB168)) | (v180(constB168) <=> (~((~v1(constB168)) | (~v181(constB168))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> (~((~v181(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB167, constB168)) | (v180(constB168) <=> (~((~v1(constB168)) | (~v181(constB168))))))),
% 16.71/11.97 inference(rewrite,[status(thm)],[])).
% 16.71/11.97 tff(30075,plain,
% 16.71/11.97 (((~nextState(constB167, constB168)) | (v180(constB168) <=> (~((~v181(constB168)) | (~v1(constB168)))))) <=> ((~nextState(constB167, constB168)) | (v180(constB168) <=> (~((~v1(constB168)) | (~v181(constB168))))))),
% 16.71/11.97 inference(rewrite,[status(thm)],[])).
% 16.71/11.97 tff(30076,plain,
% 16.71/11.97 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> (~((~v181(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB167, constB168)) | (v180(constB168) <=> (~((~v181(constB168)) | (~v1(constB168))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> (~((~v181(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB167, constB168)) | (v180(constB168) <=> (~((~v1(constB168)) | (~v181(constB168)))))))),
% 16.71/11.97 inference(monotonicity,[status(thm)],[30075])).
% 16.71/11.97 tff(30077,plain,
% 16.71/11.97 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> (~((~v181(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB167, constB168)) | (v180(constB168) <=> (~((~v181(constB168)) | (~v1(constB168))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> (~((~v181(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB167, constB168)) | (v180(constB168) <=> (~((~v1(constB168)) | (~v181(constB168))))))),
% 16.71/11.97 inference(transitivity,[status(thm)],[30076, 30074])).
% 16.71/11.97 tff(30078,plain,
% 16.71/11.97 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> (~((~v181(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB167, constB168)) | (v180(constB168) <=> (~((~v181(constB168)) | (~v1(constB168))))))),
% 16.71/11.97 inference(quant_inst,[status(thm)],[])).
% 16.71/11.97 tff(30079,plain,
% 16.71/11.97 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> (~((~v181(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB167, constB168)) | (v180(constB168) <=> (~((~v1(constB168)) | (~v181(constB168)))))),
% 16.71/11.97 inference(modus_ponens,[status(thm)],[30078, 30077])).
% 16.71/11.97 tff(30080,plain,
% 16.71/11.97 (v180(constB168) <=> (~((~v1(constB168)) | (~v181(constB168))))),
% 16.71/11.97 inference(unit_resolution,[status(thm)],[30079, 20714, 13556])).
% 16.71/11.97 tff(30081,plain,
% 16.71/11.97 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v181(VarNext)) <=> v104(VarNext)))) | ((~nextState(constB167, constB168)) | ((~v181(constB168)) <=> v104(constB168)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v181(VarNext)) <=> v104(VarNext)))) | (~nextState(constB167, constB168)) | ((~v181(constB168)) <=> v104(constB168)))),
% 16.71/11.97 inference(rewrite,[status(thm)],[])).
% 16.71/11.97 tff(30082,plain,
% 16.71/11.97 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v181(VarNext)) <=> v104(VarNext)))) | ((~nextState(constB167, constB168)) | ((~v181(constB168)) <=> v104(constB168)))),
% 16.71/11.97 inference(quant_inst,[status(thm)],[])).
% 16.71/11.97 tff(30083,plain,
% 16.71/11.97 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v181(VarNext)) <=> v104(VarNext)))) | (~nextState(constB167, constB168)) | ((~v181(constB168)) <=> v104(constB168))),
% 16.71/11.97 inference(modus_ponens,[status(thm)],[30082, 30081])).
% 16.71/11.97 tff(30084,plain,
% 16.71/11.97 ((~v181(constB168)) <=> v104(constB168)),
% 16.71/11.97 inference(unit_resolution,[status(thm)],[30083, 20714, 13612])).
% 16.71/11.97 tff(30085,plain,
% 16.71/11.97 ((~((~v181(constB168)) <=> v104(constB168))) | v181(constB168) | v104(constB168)),
% 16.71/11.97 inference(tautology,[status(thm)],[])).
% 16.71/11.97 tff(30086,plain,
% 16.71/11.97 (v181(constB168)),
% 16.71/11.97 inference(unit_resolution,[status(thm)],[30085, 20739, 30084])).
% 16.71/11.97 tff(30087,plain,
% 16.71/11.97 ((~((~v1(constB168)) | (~v181(constB168)))) | (~v1(constB168)) | (~v181(constB168))),
% 16.71/11.97 inference(tautology,[status(thm)],[])).
% 16.71/11.97 tff(30088,plain,
% 16.71/11.97 ((~((~v1(constB168)) | (~v181(constB168)))) | (~v181(constB168))),
% 16.71/11.97 inference(unit_resolution,[status(thm)],[30087, 20744])).
% 16.71/11.97 tff(30089,plain,
% 16.71/11.97 (~((~v1(constB168)) | (~v181(constB168)))),
% 16.71/11.97 inference(unit_resolution,[status(thm)],[30088, 30086])).
% 16.71/11.97 tff(30090,plain,
% 16.71/11.97 ((~(v180(constB168) <=> (~((~v1(constB168)) | (~v181(constB168)))))) | v180(constB168) | ((~v1(constB168)) | (~v181(constB168)))),
% 16.71/11.97 inference(tautology,[status(thm)],[])).
% 16.71/11.97 tff(30091,plain,
% 16.71/11.97 (v180(constB168)),
% 16.71/11.97 inference(unit_resolution,[status(thm)],[30090, 30089, 30080])).
% 16.71/11.97 tff(30092,plain,
% 16.71/11.97 ((~(v179(constB168) <=> v180(constB168))) | v179(constB168) | (~v180(constB168))),
% 16.71/11.97 inference(tautology,[status(thm)],[])).
% 16.71/11.97 tff(30093,plain,
% 16.71/11.97 (v179(constB168)),
% 16.71/11.97 inference(unit_resolution,[status(thm)],[30092, 30091, 30073])).
% 16.71/11.97 tff(30094,plain,
% 16.71/11.97 (((~![VarNext: $i] : ((~v179(VarNext)) | (v159(VarNext) <=> v186(VarNext)))) | ((~v179(constB168)) | (v159(constB168) <=> v186(constB168)))) <=> ((~![VarNext: $i] : ((~v179(VarNext)) | (v159(VarNext) <=> v186(VarNext)))) | (~v179(constB168)) | (v159(constB168) <=> v186(constB168)))),
% 16.71/11.97 inference(rewrite,[status(thm)],[])).
% 16.71/11.97 tff(30095,plain,
% 16.71/11.97 ((~![VarNext: $i] : ((~v179(VarNext)) | (v159(VarNext) <=> v186(VarNext)))) | ((~v179(constB168)) | (v159(constB168) <=> v186(constB168)))),
% 16.71/11.97 inference(quant_inst,[status(thm)],[])).
% 16.71/11.97 tff(30096,plain,
% 16.71/11.97 ((~![VarNext: $i] : ((~v179(VarNext)) | (v159(VarNext) <=> v186(VarNext)))) | (~v179(constB168)) | (v159(constB168) <=> v186(constB168))),
% 16.71/11.97 inference(modus_ponens,[status(thm)],[30095, 30094])).
% 16.71/11.97 tff(30097,plain,
% 16.71/11.97 (v159(constB168) <=> v186(constB168)),
% 16.71/11.97 inference(unit_resolution,[status(thm)],[30096, 13648, 30093])).
% 16.71/11.97 tff(30098,plain,
% 16.71/11.97 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v186(VarNext) <=> v161(VarCurr)))) | ((~nextState(constB167, constB168)) | (v186(constB168) <=> v161(constB167)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v186(VarNext) <=> v161(VarCurr)))) | (~nextState(constB167, constB168)) | (v186(constB168) <=> v161(constB167)))),
% 16.71/11.97 inference(rewrite,[status(thm)],[])).
% 16.71/11.97 tff(30099,plain,
% 16.71/11.97 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v186(VarNext) <=> v161(VarCurr)))) | ((~nextState(constB167, constB168)) | (v186(constB168) <=> v161(constB167)))),
% 16.71/11.97 inference(quant_inst,[status(thm)],[])).
% 16.71/11.97 tff(30100,plain,
% 16.71/11.97 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v186(VarNext) <=> v161(VarCurr)))) | (~nextState(constB167, constB168)) | (v186(constB168) <=> v161(constB167))),
% 16.71/11.97 inference(modus_ponens,[status(thm)],[30099, 30098])).
% 16.71/11.97 tff(30101,plain,
% 16.71/11.97 (v186(constB168) <=> v161(constB167)),
% 16.71/11.97 inference(unit_resolution,[status(thm)],[30100, 20714, 13662])).
% 16.71/11.97 tff(30102,plain,
% 16.71/11.97 ((~![VarCurr: $i] : (v161(VarCurr) <=> v163(VarCurr))) | (v161(constB167) <=> v163(constB167))),
% 16.71/11.97 inference(quant_inst,[status(thm)],[])).
% 16.71/11.97 tff(30103,plain,
% 16.71/11.97 (v161(constB167) <=> v163(constB167)),
% 16.71/11.97 inference(unit_resolution,[status(thm)],[30102, 357])).
% 16.71/11.97 tff(30104,plain,
% 16.71/11.97 ((~![VarCurr: $i] : (v171(VarCurr) <=> (v142(VarCurr) | v150(VarCurr)))) | (v171(constB167) <=> (v142(constB167) | v150(constB167)))),
% 16.71/11.97 inference(quant_inst,[status(thm)],[])).
% 16.71/11.97 tff(30105,plain,
% 16.71/11.97 (v171(constB167) <=> (v142(constB167) | v150(constB167))),
% 16.71/11.97 inference(unit_resolution,[status(thm)],[30104, 369])).
% 16.71/11.97 tff(30106,plain,
% 16.71/11.97 ((~![VarCurr: $i] : (v150(VarCurr) <=> (v141(VarCurr) | v151(VarCurr)))) | (v150(constB167) <=> (v141(constB167) | v151(constB167)))),
% 16.71/11.97 inference(quant_inst,[status(thm)],[])).
% 16.71/11.97 tff(30107,plain,
% 16.71/11.97 (v150(constB167) <=> (v141(constB167) | v151(constB167))),
% 16.71/11.97 inference(unit_resolution,[status(thm)],[30106, 13680])).
% 16.71/11.97 tff(30108,plain,
% 16.71/11.97 ((~![VarCurr: $i] : (v151(VarCurr) <=> (v139(VarCurr) | v140(VarCurr)))) | (v151(constB167) <=> (v139(constB167) | v140(constB167)))),
% 16.71/11.97 inference(quant_inst,[status(thm)],[])).
% 16.71/11.97 tff(30109,plain,
% 16.71/11.97 (v151(constB167) <=> (v139(constB167) | v140(constB167))),
% 16.71/11.97 inference(unit_resolution,[status(thm)],[30108, 13689])).
% 16.71/11.97 tff(30110,plain,
% 16.71/11.97 (((~![VarCurr: $i] : (v140(VarCurr) <=> (~(v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex0)))))) | (v140(constB167) <=> (~(v88(constB167, bitIndex2) | v88(constB167, bitIndex1) | (~v88(constB167, bitIndex0)))))) <=> ((~![VarCurr: $i] : (v140(VarCurr) <=> (~(v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex0)))))) | (v140(constB167) <=> (~(v88(constB167, bitIndex2) | v88(constB167, bitIndex1) | (~v88(constB167, bitIndex0))))))),
% 16.71/11.97 inference(rewrite,[status(thm)],[])).
% 16.71/11.97 tff(30111,plain,
% 16.71/11.97 ((v140(constB167) <=> (~(v88(constB167, bitIndex1) | v88(constB167, bitIndex2) | (~v88(constB167, bitIndex0))))) <=> (v140(constB167) <=> (~(v88(constB167, bitIndex2) | v88(constB167, bitIndex1) | (~v88(constB167, bitIndex0)))))),
% 16.71/11.97 inference(rewrite,[status(thm)],[])).
% 16.71/11.97 tff(30112,plain,
% 16.71/11.97 (((~![VarCurr: $i] : (v140(VarCurr) <=> (~(v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex0)))))) | (v140(constB167) <=> (~(v88(constB167, bitIndex1) | v88(constB167, bitIndex2) | (~v88(constB167, bitIndex0)))))) <=> ((~![VarCurr: $i] : (v140(VarCurr) <=> (~(v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex0)))))) | (v140(constB167) <=> (~(v88(constB167, bitIndex2) | v88(constB167, bitIndex1) | (~v88(constB167, bitIndex0))))))),
% 16.71/11.97 inference(monotonicity,[status(thm)],[30111])).
% 16.71/11.97 tff(30113,plain,
% 16.71/11.97 (((~![VarCurr: $i] : (v140(VarCurr) <=> (~(v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex0)))))) | (v140(constB167) <=> (~(v88(constB167, bitIndex1) | v88(constB167, bitIndex2) | (~v88(constB167, bitIndex0)))))) <=> ((~![VarCurr: $i] : (v140(VarCurr) <=> (~(v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex0)))))) | (v140(constB167) <=> (~(v88(constB167, bitIndex2) | v88(constB167, bitIndex1) | (~v88(constB167, bitIndex0))))))),
% 16.71/11.97 inference(transitivity,[status(thm)],[30112, 30110])).
% 16.71/11.97 tff(30114,plain,
% 16.71/11.97 ((~![VarCurr: $i] : (v140(VarCurr) <=> (~(v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex0)))))) | (v140(constB167) <=> (~(v88(constB167, bitIndex1) | v88(constB167, bitIndex2) | (~v88(constB167, bitIndex0)))))),
% 16.71/11.97 inference(quant_inst,[status(thm)],[])).
% 16.71/11.97 tff(30115,plain,
% 16.71/11.97 ((~![VarCurr: $i] : (v140(VarCurr) <=> (~(v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex0)))))) | (v140(constB167) <=> (~(v88(constB167, bitIndex2) | v88(constB167, bitIndex1) | (~v88(constB167, bitIndex0)))))),
% 16.71/11.97 inference(modus_ponens,[status(thm)],[30114, 30113])).
% 16.71/11.97 tff(30116,plain,
% 16.71/11.97 (v140(constB167) <=> (~(v88(constB167, bitIndex2) | v88(constB167, bitIndex1) | (~v88(constB167, bitIndex0))))),
% 16.71/11.97 inference(unit_resolution,[status(thm)],[30115, 13704])).
% 16.71/11.97 tff(30117,plain,
% 16.71/11.97 (((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | ((~less_3(bitIndex2)) | (v88(constB167, bitIndex2) <=> v90(constB167, bitIndex2)))) <=> ((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | (~less_3(bitIndex2)) | (v88(constB167, bitIndex2) <=> v90(constB167, bitIndex2)))),
% 16.71/11.97 inference(rewrite,[status(thm)],[])).
% 16.71/11.97 tff(30118,plain,
% 16.71/11.97 ((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | ((~less_3(bitIndex2)) | (v88(constB167, bitIndex2) <=> v90(constB167, bitIndex2)))),
% 16.71/11.97 inference(quant_inst,[status(thm)],[])).
% 16.71/11.97 tff(30119,plain,
% 16.71/11.97 ((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | (~less_3(bitIndex2)) | (v88(constB167, bitIndex2) <=> v90(constB167, bitIndex2))),
% 16.71/11.97 inference(modus_ponens,[status(thm)],[30118, 30117])).
% 16.71/11.97 tff(30120,plain,
% 16.71/11.97 (v88(constB167, bitIndex2) <=> v90(constB167, bitIndex2)),
% 16.71/11.97 inference(unit_resolution,[status(thm)],[30119, 413, 410])).
% 16.71/11.97 tff(30121,plain,
% 16.71/11.97 ((~(v88(constB167, bitIndex2) <=> v90(constB167, bitIndex2))) | (~v88(constB167, bitIndex2)) | v90(constB167, bitIndex2)),
% 16.71/11.97 inference(tautology,[status(thm)],[])).
% 16.71/11.97 tff(30122,plain,
% 16.71/11.97 (~v88(constB167, bitIndex2)),
% 16.71/11.97 inference(unit_resolution,[status(thm)],[30121, 23269, 30120])).
% 16.71/11.97 tff(30123,plain,
% 16.71/11.97 (((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | ((~less_3(bitIndex0)) | (v88(constB167, bitIndex0) <=> v90(constB167, bitIndex0)))) <=> ((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | (~less_3(bitIndex0)) | (v88(constB167, bitIndex0) <=> v90(constB167, bitIndex0)))),
% 16.71/11.97 inference(rewrite,[status(thm)],[])).
% 16.71/11.97 tff(30124,plain,
% 16.71/11.97 ((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | ((~less_3(bitIndex0)) | (v88(constB167, bitIndex0) <=> v90(constB167, bitIndex0)))),
% 16.71/11.97 inference(quant_inst,[status(thm)],[])).
% 16.71/11.97 tff(30125,plain,
% 16.71/11.97 ((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | (~less_3(bitIndex0)) | (v88(constB167, bitIndex0) <=> v90(constB167, bitIndex0))),
% 16.71/11.97 inference(modus_ponens,[status(thm)],[30124, 30123])).
% 16.71/11.97 tff(30126,plain,
% 16.71/11.97 (v88(constB167, bitIndex0) <=> v90(constB167, bitIndex0)),
% 16.71/11.97 inference(unit_resolution,[status(thm)],[30125, 5004, 410])).
% 16.71/11.97 tff(30127,plain,
% 16.71/11.97 ((~(v88(constB167, bitIndex0) <=> v90(constB167, bitIndex0))) | v88(constB167, bitIndex0) | (~v90(constB167, bitIndex0))),
% 16.71/11.97 inference(tautology,[status(thm)],[])).
% 16.71/11.97 tff(30128,plain,
% 16.71/11.97 (v88(constB167, bitIndex0)),
% 16.71/11.97 inference(unit_resolution,[status(thm)],[30127, 23300, 30126])).
% 16.71/11.97 tff(30129,plain,
% 16.71/11.97 (((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | ((~less_3(bitIndex1)) | (v88(constB167, bitIndex1) <=> v90(constB167, bitIndex1)))) <=> ((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | (~less_3(bitIndex1)) | (v88(constB167, bitIndex1) <=> v90(constB167, bitIndex1)))),
% 16.71/11.97 inference(rewrite,[status(thm)],[])).
% 16.71/11.97 tff(30130,plain,
% 16.71/11.97 ((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | ((~less_3(bitIndex1)) | (v88(constB167, bitIndex1) <=> v90(constB167, bitIndex1)))),
% 16.71/11.97 inference(quant_inst,[status(thm)],[])).
% 16.71/11.97 tff(30131,plain,
% 16.71/11.97 ((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | (~less_3(bitIndex1)) | (v88(constB167, bitIndex1) <=> v90(constB167, bitIndex1))),
% 16.71/11.97 inference(modus_ponens,[status(thm)],[30130, 30129])).
% 16.71/11.97 tff(30132,plain,
% 16.71/11.97 (v88(constB167, bitIndex1) <=> v90(constB167, bitIndex1)),
% 16.71/11.97 inference(unit_resolution,[status(thm)],[30131, 5017, 410])).
% 16.71/11.97 tff(30133,plain,
% 16.71/11.97 ((~(v88(constB167, bitIndex1) <=> v90(constB167, bitIndex1))) | (~v88(constB167, bitIndex1)) | v90(constB167, bitIndex1)),
% 16.71/11.97 inference(tautology,[status(thm)],[])).
% 16.71/11.97 tff(30134,plain,
% 16.71/11.97 (~v88(constB167, bitIndex1)),
% 16.71/11.97 inference(unit_resolution,[status(thm)],[30133, 23331, 30132])).
% 16.71/11.97 tff(30135,plain,
% 16.71/11.97 ((~(v88(constB167, bitIndex2) | v88(constB167, bitIndex1) | (~v88(constB167, bitIndex0)))) | v88(constB167, bitIndex2) | v88(constB167, bitIndex1) | (~v88(constB167, bitIndex0))),
% 16.71/11.97 inference(tautology,[status(thm)],[])).
% 16.71/11.97 tff(30136,plain,
% 16.71/11.97 (~(v88(constB167, bitIndex2) | v88(constB167, bitIndex1) | (~v88(constB167, bitIndex0)))),
% 16.71/11.97 inference(unit_resolution,[status(thm)],[30135, 30134, 30128, 30122])).
% 16.71/11.97 tff(30137,plain,
% 16.71/11.97 ((~(v140(constB167) <=> (~(v88(constB167, bitIndex2) | v88(constB167, bitIndex1) | (~v88(constB167, bitIndex0)))))) | v140(constB167) | (v88(constB167, bitIndex2) | v88(constB167, bitIndex1) | (~v88(constB167, bitIndex0)))),
% 16.71/11.97 inference(tautology,[status(thm)],[])).
% 16.71/11.97 tff(30138,plain,
% 16.71/11.97 (v140(constB167)),
% 16.71/11.97 inference(unit_resolution,[status(thm)],[30137, 30136, 30116])).
% 16.71/11.97 tff(30139,plain,
% 16.71/11.97 ((v139(constB167) | v140(constB167)) | (~v140(constB167))),
% 16.71/11.97 inference(tautology,[status(thm)],[])).
% 16.71/11.97 tff(30140,plain,
% 16.71/11.97 (v139(constB167) | v140(constB167)),
% 16.71/11.97 inference(unit_resolution,[status(thm)],[30139, 30138])).
% 16.71/11.97 tff(30141,plain,
% 16.71/11.97 ((~(v151(constB167) <=> (v139(constB167) | v140(constB167)))) | v151(constB167) | (~(v139(constB167) | v140(constB167)))),
% 16.71/11.97 inference(tautology,[status(thm)],[])).
% 16.71/11.97 tff(30142,plain,
% 16.71/11.97 (v151(constB167)),
% 16.71/11.98 inference(unit_resolution,[status(thm)],[30141, 30140, 30109])).
% 16.71/11.98 tff(30143,plain,
% 16.71/11.98 ((v141(constB167) | v151(constB167)) | (~v151(constB167))),
% 16.71/11.98 inference(tautology,[status(thm)],[])).
% 16.71/11.98 tff(30144,plain,
% 16.71/11.98 (v141(constB167) | v151(constB167)),
% 16.71/11.98 inference(unit_resolution,[status(thm)],[30143, 30142])).
% 16.71/11.98 tff(30145,plain,
% 16.71/11.98 ((~(v150(constB167) <=> (v141(constB167) | v151(constB167)))) | v150(constB167) | (~(v141(constB167) | v151(constB167)))),
% 16.71/11.98 inference(tautology,[status(thm)],[])).
% 16.71/11.98 tff(30146,plain,
% 16.71/11.98 (v150(constB167)),
% 16.71/11.98 inference(unit_resolution,[status(thm)],[30145, 30144, 30107])).
% 16.71/11.98 tff(30147,plain,
% 16.71/11.98 ((v142(constB167) | v150(constB167)) | (~v150(constB167))),
% 16.71/11.98 inference(tautology,[status(thm)],[])).
% 16.71/11.98 tff(30148,plain,
% 16.71/11.98 (v142(constB167) | v150(constB167)),
% 16.71/11.98 inference(unit_resolution,[status(thm)],[30147, 30146])).
% 16.71/11.98 tff(30149,plain,
% 16.71/11.98 ((~(v171(constB167) <=> (v142(constB167) | v150(constB167)))) | v171(constB167) | (~(v142(constB167) | v150(constB167)))),
% 16.71/11.98 inference(tautology,[status(thm)],[])).
% 16.71/11.98 tff(30150,plain,
% 16.71/11.98 (v171(constB167)),
% 16.71/11.98 inference(unit_resolution,[status(thm)],[30149, 30148, 30105])).
% 16.71/11.98 tff(30151,plain,
% 16.71/11.98 (((~![VarCurr: $i] : ((~v171(VarCurr)) | (~v170(VarCurr)))) | ((~v170(constB167)) | (~v171(constB167)))) <=> ((~![VarCurr: $i] : ((~v171(VarCurr)) | (~v170(VarCurr)))) | (~v170(constB167)) | (~v171(constB167)))),
% 16.71/11.98 inference(rewrite,[status(thm)],[])).
% 16.71/11.98 tff(30152,plain,
% 16.71/11.98 (((~v171(constB167)) | (~v170(constB167))) <=> ((~v170(constB167)) | (~v171(constB167)))),
% 16.71/11.98 inference(rewrite,[status(thm)],[])).
% 16.71/11.98 tff(30153,plain,
% 16.71/11.98 (((~![VarCurr: $i] : ((~v171(VarCurr)) | (~v170(VarCurr)))) | ((~v171(constB167)) | (~v170(constB167)))) <=> ((~![VarCurr: $i] : ((~v171(VarCurr)) | (~v170(VarCurr)))) | ((~v170(constB167)) | (~v171(constB167))))),
% 16.71/11.98 inference(monotonicity,[status(thm)],[30152])).
% 16.71/11.98 tff(30154,plain,
% 16.71/11.98 (((~![VarCurr: $i] : ((~v171(VarCurr)) | (~v170(VarCurr)))) | ((~v171(constB167)) | (~v170(constB167)))) <=> ((~![VarCurr: $i] : ((~v171(VarCurr)) | (~v170(VarCurr)))) | (~v170(constB167)) | (~v171(constB167)))),
% 16.71/11.98 inference(transitivity,[status(thm)],[30153, 30151])).
% 16.71/11.98 tff(30155,plain,
% 16.71/11.98 ((~![VarCurr: $i] : ((~v171(VarCurr)) | (~v170(VarCurr)))) | ((~v171(constB167)) | (~v170(constB167)))),
% 16.71/11.98 inference(quant_inst,[status(thm)],[])).
% 16.71/11.98 tff(30156,plain,
% 16.71/11.98 ((~![VarCurr: $i] : ((~v171(VarCurr)) | (~v170(VarCurr)))) | (~v170(constB167)) | (~v171(constB167))),
% 16.71/11.98 inference(modus_ponens,[status(thm)],[30155, 30154])).
% 16.71/11.98 tff(30157,plain,
% 16.71/11.98 ((~v170(constB167)) | (~v171(constB167))),
% 16.71/11.98 inference(unit_resolution,[status(thm)],[30156, 13061])).
% 16.71/11.98 tff(30158,plain,
% 16.71/11.98 (~v170(constB167)),
% 16.71/11.98 inference(unit_resolution,[status(thm)],[30157, 30150])).
% 16.71/11.98 tff(30159,plain,
% 16.71/11.98 ((~![VarCurr: $i] : (v166(VarCurr) <=> (v145(VarCurr) | v167(VarCurr)))) | (v166(constB167) <=> (v145(constB167) | v167(constB167)))),
% 16.71/11.98 inference(quant_inst,[status(thm)],[])).
% 16.71/11.98 tff(30160,plain,
% 16.71/11.98 (v166(constB167) <=> (v145(constB167) | v167(constB167))),
% 16.71/11.98 inference(unit_resolution,[status(thm)],[30159, 13079])).
% 16.71/11.98 tff(30161,plain,
% 16.71/11.98 ((~![VarCurr: $i] : (v167(VarCurr) <=> (v142(VarCurr) | v168(VarCurr)))) | (v167(constB167) <=> (v142(constB167) | v168(constB167)))),
% 16.71/11.98 inference(quant_inst,[status(thm)],[])).
% 16.71/11.98 tff(30162,plain,
% 16.71/11.98 (v167(constB167) <=> (v142(constB167) | v168(constB167))),
% 16.71/11.98 inference(unit_resolution,[status(thm)],[30161, 13091])).
% 16.71/11.98 tff(30163,plain,
% 16.71/11.98 ((~![VarCurr: $i] : (v168(VarCurr) <=> (v141(VarCurr) | v169(VarCurr)))) | (v168(constB167) <=> (v141(constB167) | v169(constB167)))),
% 16.71/11.98 inference(quant_inst,[status(thm)],[])).
% 16.71/11.98 tff(30164,plain,
% 16.71/11.98 (v168(constB167) <=> (v141(constB167) | v169(constB167))),
% 16.71/11.98 inference(unit_resolution,[status(thm)],[30163, 20513])).
% 16.71/11.98 tff(30165,plain,
% 16.71/11.98 ((~![VarCurr: $i] : (v169(VarCurr) <=> (v139(VarCurr) | v140(VarCurr)))) | (v169(constB167) <=> (v139(constB167) | v140(constB167)))),
% 16.71/11.98 inference(quant_inst,[status(thm)],[])).
% 16.71/11.98 tff(30166,plain,
% 16.71/11.98 (v169(constB167) <=> (v139(constB167) | v140(constB167))),
% 16.71/11.98 inference(unit_resolution,[status(thm)],[30165, 20522])).
% 16.71/11.98 tff(30167,plain,
% 16.71/11.98 ((~(v169(constB167) <=> (v139(constB167) | v140(constB167)))) | v169(constB167) | (~(v139(constB167) | v140(constB167)))),
% 16.71/11.98 inference(tautology,[status(thm)],[])).
% 16.71/11.98 tff(30168,plain,
% 16.71/11.98 (v169(constB167)),
% 16.71/11.98 inference(unit_resolution,[status(thm)],[30167, 30140, 30166])).
% 16.71/11.98 tff(30169,plain,
% 16.71/11.98 ((v141(constB167) | v169(constB167)) | (~v169(constB167))),
% 16.71/11.98 inference(tautology,[status(thm)],[])).
% 16.71/11.98 tff(30170,plain,
% 16.71/11.98 (v141(constB167) | v169(constB167)),
% 16.71/11.98 inference(unit_resolution,[status(thm)],[30169, 30168])).
% 16.71/11.98 tff(30171,plain,
% 16.71/11.98 ((~(v168(constB167) <=> (v141(constB167) | v169(constB167)))) | v168(constB167) | (~(v141(constB167) | v169(constB167)))),
% 16.71/11.98 inference(tautology,[status(thm)],[])).
% 16.71/11.98 tff(30172,plain,
% 16.71/11.98 (v168(constB167)),
% 16.71/11.98 inference(unit_resolution,[status(thm)],[30171, 30170, 30164])).
% 16.71/11.98 tff(30173,plain,
% 16.71/11.98 ((v142(constB167) | v168(constB167)) | (~v168(constB167))),
% 16.71/11.98 inference(tautology,[status(thm)],[])).
% 16.71/11.98 tff(30174,plain,
% 16.71/11.98 (v142(constB167) | v168(constB167)),
% 16.71/11.98 inference(unit_resolution,[status(thm)],[30173, 30172])).
% 16.71/11.98 tff(30175,plain,
% 16.71/11.98 ((~(v167(constB167) <=> (v142(constB167) | v168(constB167)))) | v167(constB167) | (~(v142(constB167) | v168(constB167)))),
% 16.71/11.98 inference(tautology,[status(thm)],[])).
% 16.71/11.98 tff(30176,plain,
% 16.71/11.98 (v167(constB167)),
% 16.71/11.98 inference(unit_resolution,[status(thm)],[30175, 30174, 30162])).
% 16.71/11.98 tff(30177,plain,
% 16.71/11.98 ((v145(constB167) | v167(constB167)) | (~v167(constB167))),
% 16.71/11.98 inference(tautology,[status(thm)],[])).
% 16.71/11.98 tff(30178,plain,
% 16.71/11.98 (v145(constB167) | v167(constB167)),
% 16.71/11.98 inference(unit_resolution,[status(thm)],[30177, 30176])).
% 16.71/11.98 tff(30179,plain,
% 16.71/11.98 ((~(v166(constB167) <=> (v145(constB167) | v167(constB167)))) | v166(constB167) | (~(v145(constB167) | v167(constB167)))),
% 16.71/11.98 inference(tautology,[status(thm)],[])).
% 16.71/11.98 tff(30180,plain,
% 16.71/11.98 (v166(constB167)),
% 16.71/11.98 inference(unit_resolution,[status(thm)],[30179, 30178, 30160])).
% 16.71/11.98 tff(30181,plain,
% 16.71/11.98 (((~![VarNext: $i] : ((~v166(VarNext)) | (v163(VarNext) <=> v170(VarNext)))) | ((~v166(constB167)) | (v163(constB167) <=> v170(constB167)))) <=> ((~![VarNext: $i] : ((~v166(VarNext)) | (v163(VarNext) <=> v170(VarNext)))) | (~v166(constB167)) | (v163(constB167) <=> v170(constB167)))),
% 16.71/11.98 inference(rewrite,[status(thm)],[])).
% 16.71/11.98 tff(30182,plain,
% 16.71/11.98 ((~![VarNext: $i] : ((~v166(VarNext)) | (v163(VarNext) <=> v170(VarNext)))) | ((~v166(constB167)) | (v163(constB167) <=> v170(constB167)))),
% 16.71/11.98 inference(quant_inst,[status(thm)],[])).
% 16.71/11.98 tff(30183,plain,
% 16.71/11.98 ((~![VarNext: $i] : ((~v166(VarNext)) | (v163(VarNext) <=> v170(VarNext)))) | (~v166(constB167)) | (v163(constB167) <=> v170(constB167))),
% 16.71/11.98 inference(modus_ponens,[status(thm)],[30182, 30181])).
% 16.71/11.98 tff(30184,plain,
% 16.71/11.98 ((~v166(constB167)) | (v163(constB167) <=> v170(constB167))),
% 16.71/11.98 inference(unit_resolution,[status(thm)],[30183, 13111])).
% 16.71/11.98 tff(30185,plain,
% 16.71/11.98 (v163(constB167) <=> v170(constB167)),
% 16.71/11.98 inference(unit_resolution,[status(thm)],[30184, 30180])).
% 16.71/11.98 tff(30186,plain,
% 16.71/11.98 ((~(v163(constB167) <=> v170(constB167))) | (~v163(constB167)) | v170(constB167)),
% 16.71/11.98 inference(tautology,[status(thm)],[])).
% 16.71/11.98 tff(30187,plain,
% 16.71/11.98 (~v163(constB167)),
% 16.71/11.98 inference(unit_resolution,[status(thm)],[30186, 30185, 30158])).
% 16.71/11.98 tff(30188,plain,
% 16.71/11.98 ((~(v161(constB167) <=> v163(constB167))) | (~v161(constB167)) | v163(constB167)),
% 16.71/11.98 inference(tautology,[status(thm)],[])).
% 16.71/11.98 tff(30189,plain,
% 16.71/11.98 (~v161(constB167)),
% 16.71/11.98 inference(unit_resolution,[status(thm)],[30188, 30187, 30103])).
% 16.71/11.98 tff(30190,plain,
% 16.71/11.98 ((~(v186(constB168) <=> v161(constB167))) | (~v186(constB168)) | v161(constB167)),
% 16.71/11.98 inference(tautology,[status(thm)],[])).
% 16.71/11.98 tff(30191,plain,
% 16.71/11.98 (~v186(constB168)),
% 16.71/11.98 inference(unit_resolution,[status(thm)],[30190, 30189, 30101])).
% 16.71/11.98 tff(30192,plain,
% 16.71/11.98 ((~(v159(constB168) <=> v186(constB168))) | (~v159(constB168)) | v186(constB168)),
% 16.71/11.98 inference(tautology,[status(thm)],[])).
% 16.71/11.98 tff(30193,plain,
% 16.71/11.98 (~v159(constB168)),
% 16.71/11.98 inference(unit_resolution,[status(thm)],[30192, 30191, 30097])).
% 16.71/11.98 tff(30194,plain,
% 16.71/11.98 ((~(v159(constB169) <=> v159(constB168))) | (~v159(constB169)) | v159(constB168)),
% 16.71/11.98 inference(tautology,[status(thm)],[])).
% 16.71/11.98 tff(30195,plain,
% 16.71/11.98 (~v159(constB169)),
% 16.71/11.98 inference(unit_resolution,[status(thm)],[30194, 30193, 30069])).
% 16.71/11.98 tff(30196,plain,
% 16.71/11.98 (((~v159(constB169)) | (~v161(constB169))) | v159(constB169)),
% 16.71/11.98 inference(tautology,[status(thm)],[])).
% 16.71/11.98 tff(30197,plain,
% 16.71/11.98 ((~v159(constB169)) | (~v161(constB169))),
% 16.71/11.98 inference(unit_resolution,[status(thm)],[30196, 30195])).
% 16.71/11.98 tff(30198,plain,
% 16.71/11.98 ((~(v201(constB169) <=> (~((~v159(constB169)) | (~v161(constB169)))))) | (~v201(constB169)) | (~((~v159(constB169)) | (~v161(constB169))))),
% 16.71/11.98 inference(tautology,[status(thm)],[])).
% 16.71/11.98 tff(30199,plain,
% 16.71/11.98 (~v201(constB169)),
% 16.71/11.98 inference(unit_resolution,[status(thm)],[30198, 30197, 30043])).
% 16.71/11.98 tff(30200,plain,
% 16.71/11.98 (((~v197(constB169)) | (~v201(constB169))) | v201(constB169)),
% 16.71/11.98 inference(tautology,[status(thm)],[])).
% 16.71/11.98 tff(30201,plain,
% 16.71/11.98 ((~v197(constB169)) | (~v201(constB169))),
% 16.71/11.98 inference(unit_resolution,[status(thm)],[30200, 30199])).
% 16.71/11.98 tff(30202,plain,
% 16.71/11.98 ((~(v200(constB169) <=> (~((~v197(constB169)) | (~v201(constB169)))))) | (~v200(constB169)) | (~((~v197(constB169)) | (~v201(constB169))))),
% 16.71/11.98 inference(tautology,[status(thm)],[])).
% 16.71/11.98 tff(30203,plain,
% 16.71/11.98 (~v200(constB169)),
% 16.71/11.98 inference(unit_resolution,[status(thm)],[30202, 30201, 30041])).
% 16.71/11.98 tff(30204,plain,
% 16.71/11.98 (((~v199(constB169)) | (~v200(constB169))) | v200(constB169)),
% 16.71/11.98 inference(tautology,[status(thm)],[])).
% 16.71/11.98 tff(30205,plain,
% 16.71/11.98 ((~v199(constB169)) | (~v200(constB169))),
% 16.71/11.98 inference(unit_resolution,[status(thm)],[30204, 30203])).
% 16.71/11.98 tff(30206,plain,
% 16.71/11.98 ((~(v198(constB169) <=> (~((~v199(constB169)) | (~v200(constB169)))))) | (~v198(constB169)) | (~((~v199(constB169)) | (~v200(constB169))))),
% 16.71/11.98 inference(tautology,[status(thm)],[])).
% 16.71/11.98 tff(30207,plain,
% 16.71/11.98 (~v198(constB169)),
% 16.71/11.98 inference(unit_resolution,[status(thm)],[30206, 30205, 30039])).
% 16.71/11.98 tff(30208,plain,
% 16.71/11.98 ((~(v194(constB169) | v198(constB169))) | v194(constB169) | v198(constB169)),
% 16.71/11.98 inference(tautology,[status(thm)],[])).
% 16.71/11.98 tff(30209,plain,
% 16.71/11.98 (~(v194(constB169) | v198(constB169))),
% 16.71/11.98 inference(unit_resolution,[status(thm)],[30208, 30207, 30037])).
% 16.71/11.98 tff(30210,plain,
% 16.71/11.98 ((~(v191(constB169) <=> (v194(constB169) | v198(constB169)))) | (~v191(constB169)) | (v194(constB169) | v198(constB169))),
% 16.71/11.98 inference(tautology,[status(thm)],[])).
% 16.71/11.98 tff(30211,plain,
% 16.71/11.98 (~v191(constB169)),
% 16.71/11.98 inference(unit_resolution,[status(thm)],[30210, 30209, 29964])).
% 16.71/11.98 tff(30212,plain,
% 16.71/11.98 ((~(v193(constB170) <=> v191(constB169))) | (~v193(constB170)) | v191(constB169)),
% 16.71/11.98 inference(tautology,[status(thm)],[])).
% 16.71/11.98 tff(30213,plain,
% 16.71/11.98 (~v193(constB170)),
% 16.71/11.98 inference(unit_resolution,[status(thm)],[30212, 30211, 29962])).
% 16.71/11.98 tff(30214,plain,
% 16.71/11.98 ((~(v157(constB170) <=> v193(constB170))) | (~v157(constB170)) | v193(constB170)),
% 16.71/11.98 inference(tautology,[status(thm)],[])).
% 16.71/11.98 tff(30215,plain,
% 16.71/11.98 (~v157(constB170)),
% 16.71/11.98 inference(unit_resolution,[status(thm)],[30214, 30213, 29958])).
% 16.71/11.98 tff(30216,plain,
% 16.71/11.98 (((~v157(constB170)) | (~v195(constB170))) | v157(constB170)),
% 16.71/11.98 inference(tautology,[status(thm)],[])).
% 16.71/11.98 tff(30217,plain,
% 16.71/11.98 ((~v157(constB170)) | (~v195(constB170))),
% 16.71/11.98 inference(unit_resolution,[status(thm)],[30216, 30215])).
% 16.71/11.98 tff(30218,plain,
% 16.71/11.98 ((~(v194(constB170) <=> (~((~v157(constB170)) | (~v195(constB170)))))) | (~v194(constB170)) | (~((~v157(constB170)) | (~v195(constB170))))),
% 16.71/11.98 inference(tautology,[status(thm)],[])).
% 16.71/11.98 tff(30219,plain,
% 16.71/11.98 (~v194(constB170)),
% 16.71/11.98 inference(unit_resolution,[status(thm)],[30218, 30217, 29956])).
% 16.71/11.98 tff(30220,plain,
% 16.71/11.98 ((~(v194(constB170) | v198(constB170))) | v194(constB170) | v198(constB170)),
% 16.71/11.98 inference(tautology,[status(thm)],[])).
% 16.71/11.98 tff(30221,plain,
% 16.71/11.98 (~(v194(constB170) | v198(constB170))),
% 16.71/11.98 inference(unit_resolution,[status(thm)],[30220, 30219, 29949])).
% 16.71/11.98 tff(30222,plain,
% 16.71/11.98 ((~(v191(constB170) <=> (v194(constB170) | v198(constB170)))) | (~v191(constB170)) | (v194(constB170) | v198(constB170))),
% 16.71/11.98 inference(tautology,[status(thm)],[])).
% 16.71/11.98 tff(30223,plain,
% 16.71/11.98 (~v191(constB170)),
% 16.71/11.98 inference(unit_resolution,[status(thm)],[30222, 30221, 29924])).
% 16.71/11.98 tff(30224,plain,
% 16.71/11.98 ((~(v193(constB171) <=> v191(constB170))) | (~v193(constB171)) | v191(constB170)),
% 16.71/11.98 inference(tautology,[status(thm)],[])).
% 16.71/11.98 tff(30225,plain,
% 16.71/11.98 (~v193(constB171)),
% 16.71/11.98 inference(unit_resolution,[status(thm)],[30224, 30223, 29922])).
% 16.71/11.98 tff(30226,plain,
% 16.71/11.98 ($false),
% 16.71/11.98 inference(unit_resolution,[status(thm)],[30225, 29918])).
% 16.71/11.98 tff(30227,plain,(~(constB171 = VarCurr!0)), inference(lemma,lemma(discharge,[]))).
% 16.71/11.98 tff(30228,assumption,(constB51 = VarCurr!0), introduced(assumption)).
% 16.71/11.98 tff(30229,plain,
% 16.71/11.98 (v193(constB51) <=> v193(VarCurr!0)),
% 16.71/11.98 inference(monotonicity,[status(thm)],[30228])).
% 16.71/11.98 tff(30230,plain,
% 16.71/11.98 (v193(VarCurr!0) <=> v193(constB51)),
% 16.71/11.98 inference(symmetry,[status(thm)],[30229])).
% 16.71/11.98 tff(30231,plain,
% 16.71/11.98 (v193(constB51)),
% 16.71/11.98 inference(modus_ponens,[status(thm)],[59, 30230])).
% 16.71/11.98 tff(30232,plain,
% 16.71/11.98 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v193(VarNext) <=> v191(VarCurr)))) | ((~nextState(constB50, constB51)) | (v193(constB51) <=> v191(constB50)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v193(VarNext) <=> v191(VarCurr)))) | (~nextState(constB50, constB51)) | (v193(constB51) <=> v191(constB50)))),
% 16.71/11.98 inference(rewrite,[status(thm)],[])).
% 16.71/11.98 tff(30233,plain,
% 16.71/11.98 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v193(VarNext) <=> v191(VarCurr)))) | ((~nextState(constB50, constB51)) | (v193(constB51) <=> v191(constB50)))),
% 16.71/11.98 inference(quant_inst,[status(thm)],[])).
% 16.71/11.98 tff(30234,plain,
% 16.71/11.98 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v193(VarNext) <=> v191(VarCurr)))) | (~nextState(constB50, constB51)) | (v193(constB51) <=> v191(constB50))),
% 16.71/11.98 inference(modus_ponens,[status(thm)],[30233, 30232])).
% 16.71/11.98 tff(30235,plain,
% 16.71/11.98 (v193(constB51) <=> v191(constB50)),
% 16.71/11.98 inference(unit_resolution,[status(thm)],[30234, 2649, 70])).
% 16.71/11.98 tff(30236,plain,
% 16.71/11.98 ((~![VarCurr: $i] : (v191(VarCurr) <=> (v194(VarCurr) | v198(VarCurr)))) | (v191(constB50) <=> (v194(constB50) | v198(constB50)))),
% 16.71/11.98 inference(quant_inst,[status(thm)],[])).
% 16.71/11.98 tff(30237,plain,
% 16.71/11.98 (v191(constB50) <=> (v194(constB50) | v198(constB50))),
% 16.71/11.98 inference(unit_resolution,[status(thm)],[30236, 84])).
% 16.71/11.98 tff(30238,plain,
% 16.71/11.98 ((~![VarCurr: $i] : (v198(VarCurr) <=> (~((~v199(VarCurr)) | (~v200(VarCurr)))))) | (v198(constB50) <=> (~((~v199(constB50)) | (~v200(constB50)))))),
% 16.71/11.98 inference(quant_inst,[status(thm)],[])).
% 16.71/11.98 tff(30239,plain,
% 16.71/11.98 (v198(constB50) <=> (~((~v199(constB50)) | (~v200(constB50))))),
% 16.71/11.98 inference(unit_resolution,[status(thm)],[30238, 96])).
% 16.71/11.98 tff(30240,plain,
% 16.71/11.98 ((~![VarCurr: $i] : (v200(VarCurr) <=> (~((~v197(VarCurr)) | (~v201(VarCurr)))))) | (v200(constB50) <=> (~((~v197(constB50)) | (~v201(constB50)))))),
% 16.71/11.98 inference(quant_inst,[status(thm)],[])).
% 16.71/11.98 tff(30241,plain,
% 16.71/11.98 (v200(constB50) <=> (~((~v197(constB50)) | (~v201(constB50))))),
% 16.71/11.98 inference(unit_resolution,[status(thm)],[30240, 108])).
% 16.71/11.98 tff(30242,plain,
% 16.71/11.98 ((~![VarCurr: $i] : (v197(VarCurr) <=> (~((~v39(VarCurr)) | (~v9(VarCurr)))))) | (v197(constB50) <=> (~((~v39(constB50)) | (~v9(constB50)))))),
% 16.71/11.98 inference(quant_inst,[status(thm)],[])).
% 16.71/11.98 tff(30243,plain,
% 16.71/11.98 (v197(constB50) <=> (~((~v39(constB50)) | (~v9(constB50))))),
% 16.71/11.98 inference(unit_resolution,[status(thm)],[30242, 120])).
% 16.71/11.98 tff(30244,plain,
% 16.71/11.98 ((~![VarCurr: $i] : ((~v39(VarCurr)) <=> v1(VarCurr))) | ((~v39(constB50)) <=> v1(constB50))),
% 16.71/11.98 inference(quant_inst,[status(thm)],[])).
% 16.71/11.98 tff(30245,plain,
% 16.71/11.98 ((~v39(constB50)) <=> v1(constB50)),
% 16.71/11.98 inference(unit_resolution,[status(thm)],[30244, 129])).
% 16.71/11.98 tff(30246,plain,
% 16.71/11.98 ((~((~v39(constB50)) <=> v1(constB50))) | (~v39(constB50)) | (~v1(constB50))),
% 16.71/11.98 inference(tautology,[status(thm)],[])).
% 16.71/11.98 tff(30247,plain,
% 16.71/11.98 ((~((~v39(constB50)) <=> v1(constB50))) | (~v39(constB50))),
% 16.71/11.98 inference(unit_resolution,[status(thm)],[30246, 2711])).
% 16.71/11.98 tff(30248,plain,
% 16.71/11.98 (~v39(constB50)),
% 16.71/11.98 inference(unit_resolution,[status(thm)],[30247, 30245])).
% 16.71/11.98 tff(30249,plain,
% 16.71/11.98 (((~v39(constB50)) | (~v9(constB50))) | v39(constB50)),
% 16.71/11.98 inference(tautology,[status(thm)],[])).
% 16.71/11.98 tff(30250,plain,
% 16.71/11.98 ((~v39(constB50)) | (~v9(constB50))),
% 16.71/11.98 inference(unit_resolution,[status(thm)],[30249, 30248])).
% 16.71/11.98 tff(30251,plain,
% 16.71/11.98 ((~(v197(constB50) <=> (~((~v39(constB50)) | (~v9(constB50)))))) | (~v197(constB50)) | (~((~v39(constB50)) | (~v9(constB50))))),
% 16.71/11.98 inference(tautology,[status(thm)],[])).
% 16.71/11.98 tff(30252,plain,
% 16.71/11.98 ((~(v197(constB50) <=> (~((~v39(constB50)) | (~v9(constB50)))))) | (~v197(constB50))),
% 16.71/11.98 inference(unit_resolution,[status(thm)],[30251, 30250])).
% 16.71/11.98 tff(30253,plain,
% 16.71/11.98 (~v197(constB50)),
% 16.71/11.98 inference(unit_resolution,[status(thm)],[30252, 30243])).
% 16.71/11.98 tff(30254,plain,
% 16.71/11.98 (((~v197(constB50)) | (~v201(constB50))) | v197(constB50)),
% 16.71/11.98 inference(tautology,[status(thm)],[])).
% 16.71/11.98 tff(30255,plain,
% 16.71/11.98 ((~v197(constB50)) | (~v201(constB50))),
% 16.71/11.98 inference(unit_resolution,[status(thm)],[30254, 30253])).
% 16.71/11.98 tff(30256,plain,
% 16.71/11.98 ((~(v200(constB50) <=> (~((~v197(constB50)) | (~v201(constB50)))))) | (~v200(constB50)) | (~((~v197(constB50)) | (~v201(constB50))))),
% 16.71/11.98 inference(tautology,[status(thm)],[])).
% 16.71/11.98 tff(30257,plain,
% 16.71/11.98 ((~(v200(constB50) <=> (~((~v197(constB50)) | (~v201(constB50)))))) | (~v200(constB50))),
% 16.71/11.98 inference(unit_resolution,[status(thm)],[30256, 30255])).
% 16.71/11.98 tff(30258,plain,
% 16.71/11.98 (~v200(constB50)),
% 16.71/11.98 inference(unit_resolution,[status(thm)],[30257, 30241])).
% 16.71/11.98 tff(30259,plain,
% 16.71/11.98 (((~v199(constB50)) | (~v200(constB50))) | v200(constB50)),
% 16.71/11.98 inference(tautology,[status(thm)],[])).
% 16.71/11.98 tff(30260,plain,
% 16.71/11.98 ((~v199(constB50)) | (~v200(constB50))),
% 16.71/11.98 inference(unit_resolution,[status(thm)],[30259, 30258])).
% 16.71/11.98 tff(30261,plain,
% 16.71/11.98 ((~(v198(constB50) <=> (~((~v199(constB50)) | (~v200(constB50)))))) | (~v198(constB50)) | (~((~v199(constB50)) | (~v200(constB50))))),
% 16.71/11.98 inference(tautology,[status(thm)],[])).
% 16.71/11.98 tff(30262,plain,
% 16.71/11.98 (~v198(constB50)),
% 16.71/11.98 inference(unit_resolution,[status(thm)],[30261, 30260, 30239])).
% 16.71/11.98 tff(30263,plain,
% 16.71/11.98 (((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB50) <=> (~((~v157(constB50)) | (~v195(constB50)))))) <=> ((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB50) <=> (~((~v157(constB50)) | (~v195(constB50))))))),
% 16.71/11.98 inference(rewrite,[status(thm)],[])).
% 16.71/11.98 tff(30264,plain,
% 16.71/11.98 ((v194(constB50) <=> (~((~v195(constB50)) | (~v157(constB50))))) <=> (v194(constB50) <=> (~((~v157(constB50)) | (~v195(constB50)))))),
% 16.71/11.98 inference(rewrite,[status(thm)],[])).
% 16.71/11.98 tff(30265,plain,
% 16.71/11.98 (((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB50) <=> (~((~v195(constB50)) | (~v157(constB50)))))) <=> ((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB50) <=> (~((~v157(constB50)) | (~v195(constB50))))))),
% 16.71/11.98 inference(monotonicity,[status(thm)],[30264])).
% 16.71/11.98 tff(30266,plain,
% 16.71/11.98 (((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB50) <=> (~((~v195(constB50)) | (~v157(constB50)))))) <=> ((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB50) <=> (~((~v157(constB50)) | (~v195(constB50))))))),
% 16.71/11.98 inference(transitivity,[status(thm)],[30265, 30263])).
% 16.71/11.98 tff(30267,plain,
% 16.71/11.98 ((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB50) <=> (~((~v195(constB50)) | (~v157(constB50)))))),
% 16.71/11.98 inference(quant_inst,[status(thm)],[])).
% 16.71/11.98 tff(30268,plain,
% 16.71/11.98 ((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB50) <=> (~((~v157(constB50)) | (~v195(constB50)))))),
% 16.71/11.98 inference(modus_ponens,[status(thm)],[30267, 30266])).
% 16.71/11.98 tff(30269,plain,
% 16.71/11.98 (v194(constB50) <=> (~((~v157(constB50)) | (~v195(constB50))))),
% 16.71/11.98 inference(unit_resolution,[status(thm)],[30268, 161])).
% 16.71/11.98 tff(30270,plain,
% 16.71/11.98 ((~![VarNext: $i] : (v157(VarNext) <=> v193(VarNext))) | (v157(constB50) <=> v193(constB50))),
% 16.71/11.98 inference(quant_inst,[status(thm)],[])).
% 16.71/11.98 tff(30271,plain,
% 16.71/11.98 (v157(constB50) <=> v193(constB50)),
% 16.71/11.98 inference(unit_resolution,[status(thm)],[30270, 13])).
% 16.71/11.98 tff(30272,plain,
% 16.71/11.98 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v193(VarNext) <=> v191(VarCurr)))) | ((~nextState(constB49, constB50)) | (v193(constB50) <=> v191(constB49)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v193(VarNext) <=> v191(VarCurr)))) | (~nextState(constB49, constB50)) | (v193(constB50) <=> v191(constB49)))),
% 16.71/11.99 inference(rewrite,[status(thm)],[])).
% 16.71/11.99 tff(30273,plain,
% 16.71/11.99 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v193(VarNext) <=> v191(VarCurr)))) | ((~nextState(constB49, constB50)) | (v193(constB50) <=> v191(constB49)))),
% 16.71/11.99 inference(quant_inst,[status(thm)],[])).
% 16.71/11.99 tff(30274,plain,
% 16.71/11.99 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v193(VarNext) <=> v191(VarCurr)))) | (~nextState(constB49, constB50)) | (v193(constB50) <=> v191(constB49))),
% 16.71/11.99 inference(modus_ponens,[status(thm)],[30273, 30272])).
% 16.71/11.99 tff(30275,plain,
% 16.71/11.99 (v193(constB50) <=> v191(constB49)),
% 16.71/11.99 inference(unit_resolution,[status(thm)],[30274, 2681, 70])).
% 16.71/11.99 tff(30276,plain,
% 16.71/11.99 ((~![VarCurr: $i] : (v191(VarCurr) <=> (v194(VarCurr) | v198(VarCurr)))) | (v191(constB49) <=> (v194(constB49) | v198(constB49)))),
% 16.71/11.99 inference(quant_inst,[status(thm)],[])).
% 16.71/11.99 tff(30277,plain,
% 16.71/11.99 (v191(constB49) <=> (v194(constB49) | v198(constB49))),
% 16.71/11.99 inference(unit_resolution,[status(thm)],[30276, 84])).
% 16.71/11.99 tff(30278,plain,
% 16.71/11.99 (((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB49) <=> (~((~v157(constB49)) | (~v195(constB49)))))) <=> ((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB49) <=> (~((~v157(constB49)) | (~v195(constB49))))))),
% 16.71/11.99 inference(rewrite,[status(thm)],[])).
% 16.71/11.99 tff(30279,plain,
% 16.71/11.99 ((v194(constB49) <=> (~((~v195(constB49)) | (~v157(constB49))))) <=> (v194(constB49) <=> (~((~v157(constB49)) | (~v195(constB49)))))),
% 16.71/11.99 inference(rewrite,[status(thm)],[])).
% 16.71/11.99 tff(30280,plain,
% 16.71/11.99 (((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB49) <=> (~((~v195(constB49)) | (~v157(constB49)))))) <=> ((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB49) <=> (~((~v157(constB49)) | (~v195(constB49))))))),
% 16.71/11.99 inference(monotonicity,[status(thm)],[30279])).
% 16.71/11.99 tff(30281,plain,
% 16.71/11.99 (((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB49) <=> (~((~v195(constB49)) | (~v157(constB49)))))) <=> ((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB49) <=> (~((~v157(constB49)) | (~v195(constB49))))))),
% 16.71/11.99 inference(transitivity,[status(thm)],[30280, 30278])).
% 16.71/11.99 tff(30282,plain,
% 16.71/11.99 ((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB49) <=> (~((~v195(constB49)) | (~v157(constB49)))))),
% 16.71/11.99 inference(quant_inst,[status(thm)],[])).
% 16.71/11.99 tff(30283,plain,
% 16.71/11.99 ((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB49) <=> (~((~v157(constB49)) | (~v195(constB49)))))),
% 16.71/11.99 inference(modus_ponens,[status(thm)],[30282, 30281])).
% 16.71/11.99 tff(30284,plain,
% 16.71/11.99 (v194(constB49) <=> (~((~v157(constB49)) | (~v195(constB49))))),
% 16.71/11.99 inference(unit_resolution,[status(thm)],[30283, 161])).
% 16.71/11.99 tff(30285,plain,
% 16.71/11.99 ((~![VarCurr: $i] : ((~v195(VarCurr)) <=> v196(VarCurr))) | ((~v195(constB49)) <=> v196(constB49))),
% 16.71/11.99 inference(quant_inst,[status(thm)],[])).
% 16.71/11.99 tff(30286,plain,
% 16.71/11.99 ((~v195(constB49)) <=> v196(constB49)),
% 16.71/11.99 inference(unit_resolution,[status(thm)],[30285, 193])).
% 16.71/11.99 tff(30287,plain,
% 16.71/11.99 ((~![VarCurr: $i] : (v196(VarCurr) <=> (v197(VarCurr) | v26(VarCurr)))) | (v196(constB49) <=> (v197(constB49) | v26(constB49)))),
% 16.71/11.99 inference(quant_inst,[status(thm)],[])).
% 16.71/11.99 tff(30288,plain,
% 16.71/11.99 (v196(constB49) <=> (v197(constB49) | v26(constB49))),
% 16.71/11.99 inference(unit_resolution,[status(thm)],[30287, 202])).
% 16.71/11.99 tff(30289,plain,
% 16.71/11.99 ((~![VarCurr: $i] : (v197(VarCurr) <=> (~((~v39(VarCurr)) | (~v9(VarCurr)))))) | (v197(constB49) <=> (~((~v39(constB49)) | (~v9(constB49)))))),
% 16.71/11.99 inference(quant_inst,[status(thm)],[])).
% 16.71/11.99 tff(30290,plain,
% 16.71/11.99 (v197(constB49) <=> (~((~v39(constB49)) | (~v9(constB49))))),
% 16.71/11.99 inference(unit_resolution,[status(thm)],[30289, 120])).
% 16.71/11.99 tff(30291,plain,
% 16.71/11.99 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | ((~nextState(constB49, constB50)) | (v13(constB50) <=> v9(constB49)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | (~nextState(constB49, constB50)) | (v13(constB50) <=> v9(constB49)))),
% 16.71/11.99 inference(rewrite,[status(thm)],[])).
% 16.71/11.99 tff(30292,plain,
% 16.71/11.99 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | ((~nextState(constB49, constB50)) | (v13(constB50) <=> v9(constB49)))),
% 16.71/11.99 inference(quant_inst,[status(thm)],[])).
% 16.71/11.99 tff(30293,plain,
% 16.71/11.99 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | (~nextState(constB49, constB50)) | (v13(constB50) <=> v9(constB49))),
% 16.71/11.99 inference(modus_ponens,[status(thm)],[30292, 30291])).
% 16.71/11.99 tff(30294,plain,
% 16.71/11.99 (v13(constB50) <=> v9(constB49)),
% 16.71/11.99 inference(unit_resolution,[status(thm)],[30293, 2681, 216])).
% 16.71/11.99 tff(30295,plain,
% 16.71/11.99 ((~![VarNext: $i] : (v6(VarNext) <=> v13(VarNext))) | (v6(constB50) <=> v13(constB50))),
% 16.71/11.99 inference(quant_inst,[status(thm)],[])).
% 16.71/11.99 tff(30296,plain,
% 16.71/11.99 (v6(constB50) <=> v13(constB50)),
% 16.71/11.99 inference(unit_resolution,[status(thm)],[30295, 230])).
% 16.71/11.99 tff(30297,plain,
% 16.71/11.99 ((~![VarCurr: $i] : ((~v21(VarCurr)) <=> v6(VarCurr))) | ((~v21(constB50)) <=> v6(constB50))),
% 16.71/11.99 inference(quant_inst,[status(thm)],[])).
% 16.71/11.99 tff(30298,plain,
% 16.71/11.99 ((~v21(constB50)) <=> v6(constB50)),
% 16.71/11.99 inference(unit_resolution,[status(thm)],[30297, 239])).
% 16.71/11.99 tff(30299,plain,
% 16.71/11.99 ((~![VarCurr: $i] : (v19(VarCurr) <=> (v20(VarCurr) | v21(VarCurr)))) | (v19(constB50) <=> (v20(constB50) | v21(constB50)))),
% 16.71/11.99 inference(quant_inst,[status(thm)],[])).
% 16.71/11.99 tff(30300,plain,
% 16.71/11.99 (v19(constB50) <=> (v20(constB50) | v21(constB50))),
% 16.71/11.99 inference(unit_resolution,[status(thm)],[30299, 248])).
% 16.71/11.99 tff(30301,plain,
% 16.71/11.99 ((~![VarCurr: $i] : (v18(VarCurr) <=> (~((~v19(VarCurr)) | (~v22(VarCurr)))))) | (v18(constB50) <=> (~((~v19(constB50)) | (~v22(constB50)))))),
% 16.71/11.99 inference(quant_inst,[status(thm)],[])).
% 16.71/11.99 tff(30302,plain,
% 16.71/11.99 (v18(constB50) <=> (~((~v19(constB50)) | (~v22(constB50))))),
% 16.71/11.99 inference(unit_resolution,[status(thm)],[30301, 260])).
% 16.71/11.99 tff(30303,plain,
% 16.71/11.99 ((~![VarCurr: $i] : ((~v4(VarCurr)) <=> v18(VarCurr))) | ((~v4(constB50)) <=> v18(constB50))),
% 16.71/11.99 inference(quant_inst,[status(thm)],[])).
% 16.71/11.99 tff(30304,plain,
% 16.71/11.99 ((~v4(constB50)) <=> v18(constB50)),
% 16.71/11.99 inference(unit_resolution,[status(thm)],[30303, 269])).
% 16.71/11.99 tff(30305,plain,
% 16.71/11.99 ((~![VarCurr: $i] : v4(VarCurr)) | v4(constB50)),
% 16.71/11.99 inference(quant_inst,[status(thm)],[])).
% 16.71/11.99 tff(30306,plain,
% 16.71/11.99 (v4(constB50)),
% 16.71/11.99 inference(unit_resolution,[status(thm)],[30305, 278])).
% 16.71/11.99 tff(30307,plain,
% 16.71/11.99 ((~((~v4(constB50)) <=> v18(constB50))) | (~v4(constB50)) | (~v18(constB50))),
% 16.71/11.99 inference(tautology,[status(thm)],[])).
% 16.71/11.99 tff(30308,plain,
% 16.71/11.99 (~v18(constB50)),
% 16.71/11.99 inference(unit_resolution,[status(thm)],[30307, 30306, 30304])).
% 16.71/11.99 tff(30309,plain,
% 16.71/11.99 ((~(v18(constB50) <=> (~((~v19(constB50)) | (~v22(constB50)))))) | v18(constB50) | ((~v19(constB50)) | (~v22(constB50)))),
% 16.71/11.99 inference(tautology,[status(thm)],[])).
% 16.71/11.99 tff(30310,plain,
% 16.71/11.99 ((~v19(constB50)) | (~v22(constB50))),
% 16.71/11.99 inference(unit_resolution,[status(thm)],[30309, 30308, 30302])).
% 16.71/11.99 tff(30311,plain,
% 16.71/11.99 ((~![VarCurr: $i] : (v22(VarCurr) <=> (v1(VarCurr) | v6(VarCurr)))) | (v22(constB50) <=> (v1(constB50) | v6(constB50)))),
% 16.71/11.99 inference(quant_inst,[status(thm)],[])).
% 16.71/11.99 tff(30312,plain,
% 16.71/11.99 (v22(constB50) <=> (v1(constB50) | v6(constB50))),
% 16.71/11.99 inference(unit_resolution,[status(thm)],[30311, 291])).
% 16.71/11.99 tff(30313,plain,
% 16.71/11.99 ((v1(constB50) | v6(constB50)) | (~v1(constB50))),
% 16.71/11.99 inference(tautology,[status(thm)],[])).
% 16.71/11.99 tff(30314,plain,
% 16.71/11.99 (v1(constB50) | v6(constB50)),
% 16.71/11.99 inference(unit_resolution,[status(thm)],[30313, 2711])).
% 16.71/11.99 tff(30315,plain,
% 16.71/11.99 ((~(v22(constB50) <=> (v1(constB50) | v6(constB50)))) | v22(constB50) | (~(v1(constB50) | v6(constB50)))),
% 16.71/11.99 inference(tautology,[status(thm)],[])).
% 16.71/11.99 tff(30316,plain,
% 16.71/11.99 ((~(v22(constB50) <=> (v1(constB50) | v6(constB50)))) | v22(constB50)),
% 16.71/11.99 inference(unit_resolution,[status(thm)],[30315, 30314])).
% 16.71/11.99 tff(30317,plain,
% 16.71/11.99 (v22(constB50)),
% 16.71/11.99 inference(unit_resolution,[status(thm)],[30316, 30312])).
% 16.71/11.99 tff(30318,plain,
% 16.71/11.99 ((~((~v19(constB50)) | (~v22(constB50)))) | (~v19(constB50)) | (~v22(constB50))),
% 16.71/11.99 inference(tautology,[status(thm)],[])).
% 16.71/11.99 tff(30319,plain,
% 16.71/11.99 ((~((~v19(constB50)) | (~v22(constB50)))) | (~v19(constB50))),
% 16.71/11.99 inference(unit_resolution,[status(thm)],[30318, 30317])).
% 16.71/11.99 tff(30320,plain,
% 16.71/11.99 (~v19(constB50)),
% 16.71/11.99 inference(unit_resolution,[status(thm)],[30319, 30310])).
% 16.71/11.99 tff(30321,plain,
% 16.71/11.99 ((~(v19(constB50) <=> (v20(constB50) | v21(constB50)))) | v19(constB50) | (~(v20(constB50) | v21(constB50)))),
% 16.71/11.99 inference(tautology,[status(thm)],[])).
% 16.71/11.99 tff(30322,plain,
% 16.71/11.99 (~(v20(constB50) | v21(constB50))),
% 16.71/11.99 inference(unit_resolution,[status(thm)],[30321, 30320, 30300])).
% 16.71/11.99 tff(30323,plain,
% 16.71/11.99 ((v20(constB50) | v21(constB50)) | (~v21(constB50))),
% 16.71/11.99 inference(tautology,[status(thm)],[])).
% 16.71/11.99 tff(30324,plain,
% 16.71/11.99 (~v21(constB50)),
% 16.71/11.99 inference(unit_resolution,[status(thm)],[30323, 30322])).
% 16.71/11.99 tff(30325,plain,
% 16.71/11.99 ((~((~v21(constB50)) <=> v6(constB50))) | v21(constB50) | v6(constB50)),
% 16.71/11.99 inference(tautology,[status(thm)],[])).
% 16.71/11.99 tff(30326,plain,
% 16.71/11.99 (v6(constB50)),
% 16.71/11.99 inference(unit_resolution,[status(thm)],[30325, 30324, 30298])).
% 16.71/11.99 tff(30327,plain,
% 16.71/11.99 ((~(v6(constB50) <=> v13(constB50))) | (~v6(constB50)) | v13(constB50)),
% 16.71/11.99 inference(tautology,[status(thm)],[])).
% 16.71/11.99 tff(30328,plain,
% 16.71/11.99 (v13(constB50)),
% 16.71/11.99 inference(unit_resolution,[status(thm)],[30327, 30326, 30296])).
% 16.71/11.99 tff(30329,plain,
% 16.71/11.99 ((~(v13(constB50) <=> v9(constB49))) | (~v13(constB50)) | v9(constB49)),
% 16.71/11.99 inference(tautology,[status(thm)],[])).
% 16.71/11.99 tff(30330,plain,
% 16.71/11.99 (v9(constB49)),
% 16.71/11.99 inference(unit_resolution,[status(thm)],[30329, 30328, 30294])).
% 16.71/11.99 tff(30331,plain,
% 16.71/11.99 ((~![VarCurr: $i] : ((~v39(VarCurr)) <=> v1(VarCurr))) | ((~v39(constB49)) <=> v1(constB49))),
% 16.71/11.99 inference(quant_inst,[status(thm)],[])).
% 16.71/11.99 tff(30332,plain,
% 16.71/11.99 ((~v39(constB49)) <=> v1(constB49)),
% 16.71/11.99 inference(unit_resolution,[status(thm)],[30331, 129])).
% 16.71/11.99 tff(30333,plain,
% 16.71/11.99 ((~((~v39(constB49)) <=> v1(constB49))) | v39(constB49) | v1(constB49)),
% 16.71/11.99 inference(tautology,[status(thm)],[])).
% 16.71/11.99 tff(30334,plain,
% 16.71/11.99 ((~((~v39(constB49)) <=> v1(constB49))) | v39(constB49)),
% 16.71/11.99 inference(unit_resolution,[status(thm)],[30333, 2703])).
% 16.71/11.99 tff(30335,plain,
% 16.71/11.99 (v39(constB49)),
% 16.71/11.99 inference(unit_resolution,[status(thm)],[30334, 30332])).
% 16.71/11.99 tff(30336,plain,
% 16.71/11.99 ((~((~v39(constB49)) | (~v9(constB49)))) | (~v39(constB49)) | (~v9(constB49))),
% 16.71/11.99 inference(tautology,[status(thm)],[])).
% 16.71/11.99 tff(30337,plain,
% 16.71/11.99 ((~((~v39(constB49)) | (~v9(constB49)))) | (~v9(constB49))),
% 16.71/11.99 inference(unit_resolution,[status(thm)],[30336, 30335])).
% 16.71/11.99 tff(30338,plain,
% 16.71/11.99 (~((~v39(constB49)) | (~v9(constB49)))),
% 16.71/11.99 inference(unit_resolution,[status(thm)],[30337, 30330])).
% 16.71/11.99 tff(30339,plain,
% 16.71/11.99 ((~(v197(constB49) <=> (~((~v39(constB49)) | (~v9(constB49)))))) | v197(constB49) | ((~v39(constB49)) | (~v9(constB49)))),
% 16.71/11.99 inference(tautology,[status(thm)],[])).
% 16.71/11.99 tff(30340,plain,
% 16.71/11.99 (v197(constB49)),
% 16.71/11.99 inference(unit_resolution,[status(thm)],[30339, 30338, 30290])).
% 16.71/11.99 tff(30341,plain,
% 16.71/11.99 ((v197(constB49) | v26(constB49)) | (~v197(constB49))),
% 16.71/11.99 inference(tautology,[status(thm)],[])).
% 16.71/11.99 tff(30342,plain,
% 16.71/11.99 (v197(constB49) | v26(constB49)),
% 16.71/11.99 inference(unit_resolution,[status(thm)],[30341, 30340])).
% 16.71/11.99 tff(30343,plain,
% 16.71/11.99 ((~(v196(constB49) <=> (v197(constB49) | v26(constB49)))) | v196(constB49) | (~(v197(constB49) | v26(constB49)))),
% 16.71/11.99 inference(tautology,[status(thm)],[])).
% 16.71/11.99 tff(30344,plain,
% 16.71/11.99 (v196(constB49)),
% 16.71/11.99 inference(unit_resolution,[status(thm)],[30343, 30342, 30288])).
% 16.71/11.99 tff(30345,plain,
% 16.71/11.99 ((~((~v195(constB49)) <=> v196(constB49))) | (~v195(constB49)) | (~v196(constB49))),
% 16.71/11.99 inference(tautology,[status(thm)],[])).
% 16.71/11.99 tff(30346,plain,
% 16.71/11.99 (~v195(constB49)),
% 16.71/11.99 inference(unit_resolution,[status(thm)],[30345, 30344, 30286])).
% 16.71/11.99 tff(30347,plain,
% 16.71/11.99 (((~v157(constB49)) | (~v195(constB49))) | v195(constB49)),
% 16.71/11.99 inference(tautology,[status(thm)],[])).
% 16.71/11.99 tff(30348,plain,
% 16.71/11.99 ((~v157(constB49)) | (~v195(constB49))),
% 16.71/11.99 inference(unit_resolution,[status(thm)],[30347, 30346])).
% 16.71/11.99 tff(30349,plain,
% 16.71/11.99 ((~(v194(constB49) <=> (~((~v157(constB49)) | (~v195(constB49)))))) | (~v194(constB49)) | (~((~v157(constB49)) | (~v195(constB49))))),
% 16.71/11.99 inference(tautology,[status(thm)],[])).
% 16.71/11.99 tff(30350,plain,
% 16.71/11.99 (~v194(constB49)),
% 16.71/11.99 inference(unit_resolution,[status(thm)],[30349, 30348, 30284])).
% 16.71/11.99 tff(30351,plain,
% 16.71/11.99 ((~![VarCurr: $i] : (v198(VarCurr) <=> (~((~v199(VarCurr)) | (~v200(VarCurr)))))) | (v198(constB49) <=> (~((~v199(constB49)) | (~v200(constB49)))))),
% 16.71/11.99 inference(quant_inst,[status(thm)],[])).
% 16.71/11.99 tff(30352,plain,
% 16.71/11.99 (v198(constB49) <=> (~((~v199(constB49)) | (~v200(constB49))))),
% 16.71/11.99 inference(unit_resolution,[status(thm)],[30351, 96])).
% 16.71/11.99 tff(30353,plain,
% 16.71/11.99 ((~![VarCurr: $i] : (v200(VarCurr) <=> (~((~v197(VarCurr)) | (~v201(VarCurr)))))) | (v200(constB49) <=> (~((~v197(constB49)) | (~v201(constB49)))))),
% 16.71/11.99 inference(quant_inst,[status(thm)],[])).
% 16.71/11.99 tff(30354,plain,
% 16.71/11.99 (v200(constB49) <=> (~((~v197(constB49)) | (~v201(constB49))))),
% 16.71/11.99 inference(unit_resolution,[status(thm)],[30353, 108])).
% 16.71/11.99 tff(30355,plain,
% 16.71/11.99 ((~![VarCurr: $i] : (v201(VarCurr) <=> (~((~v159(VarCurr)) | (~v161(VarCurr)))))) | (v201(constB49) <=> (~((~v159(constB49)) | (~v161(constB49)))))),
% 16.71/11.99 inference(quant_inst,[status(thm)],[])).
% 16.71/11.99 tff(30356,plain,
% 16.71/11.99 (v201(constB49) <=> (~((~v159(constB49)) | (~v161(constB49))))),
% 16.71/11.99 inference(unit_resolution,[status(thm)],[30355, 348])).
% 16.71/11.99 tff(30357,plain,
% 16.71/11.99 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v179(VarNext) <=> v180(VarNext)))) | ((~nextState(constB48, constB49)) | (v179(constB49) <=> v180(constB49)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v179(VarNext) <=> v180(VarNext)))) | (~nextState(constB48, constB49)) | (v179(constB49) <=> v180(constB49)))),
% 16.71/11.99 inference(rewrite,[status(thm)],[])).
% 16.71/11.99 tff(30358,plain,
% 16.71/11.99 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v179(VarNext) <=> v180(VarNext)))) | ((~nextState(constB48, constB49)) | (v179(constB49) <=> v180(constB49)))),
% 16.71/11.99 inference(quant_inst,[status(thm)],[])).
% 16.71/11.99 tff(30359,plain,
% 16.71/11.99 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v179(VarNext) <=> v180(VarNext)))) | (~nextState(constB48, constB49)) | (v179(constB49) <=> v180(constB49))),
% 16.71/11.99 inference(modus_ponens,[status(thm)],[30358, 30357])).
% 16.71/11.99 tff(30360,plain,
% 16.71/11.99 (v179(constB49) <=> v180(constB49)),
% 16.71/11.99 inference(unit_resolution,[status(thm)],[30359, 2744, 13536])).
% 16.71/11.99 tff(30361,plain,
% 16.71/11.99 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> (~((~v181(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB48, constB49)) | (v180(constB49) <=> (~((~v1(constB49)) | (~v181(constB49))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> (~((~v181(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB48, constB49)) | (v180(constB49) <=> (~((~v1(constB49)) | (~v181(constB49))))))),
% 16.71/11.99 inference(rewrite,[status(thm)],[])).
% 16.71/11.99 tff(30362,plain,
% 16.71/11.99 (((~nextState(constB48, constB49)) | (v180(constB49) <=> (~((~v181(constB49)) | (~v1(constB49)))))) <=> ((~nextState(constB48, constB49)) | (v180(constB49) <=> (~((~v1(constB49)) | (~v181(constB49))))))),
% 16.71/11.99 inference(rewrite,[status(thm)],[])).
% 16.71/11.99 tff(30363,plain,
% 16.71/11.99 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> (~((~v181(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB48, constB49)) | (v180(constB49) <=> (~((~v181(constB49)) | (~v1(constB49))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> (~((~v181(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB48, constB49)) | (v180(constB49) <=> (~((~v1(constB49)) | (~v181(constB49)))))))),
% 16.71/11.99 inference(monotonicity,[status(thm)],[30362])).
% 16.71/11.99 tff(30364,plain,
% 16.71/11.99 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> (~((~v181(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB48, constB49)) | (v180(constB49) <=> (~((~v181(constB49)) | (~v1(constB49))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> (~((~v181(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB48, constB49)) | (v180(constB49) <=> (~((~v1(constB49)) | (~v181(constB49))))))),
% 16.71/11.99 inference(transitivity,[status(thm)],[30363, 30361])).
% 16.71/11.99 tff(30365,plain,
% 16.71/11.99 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> (~((~v181(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB48, constB49)) | (v180(constB49) <=> (~((~v181(constB49)) | (~v1(constB49))))))),
% 16.71/11.99 inference(quant_inst,[status(thm)],[])).
% 16.71/11.99 tff(30366,plain,
% 16.71/11.99 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> (~((~v181(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB48, constB49)) | (v180(constB49) <=> (~((~v1(constB49)) | (~v181(constB49)))))),
% 16.71/11.99 inference(modus_ponens,[status(thm)],[30365, 30364])).
% 16.71/11.99 tff(30367,plain,
% 16.71/11.99 (v180(constB49) <=> (~((~v1(constB49)) | (~v181(constB49))))),
% 16.71/11.99 inference(unit_resolution,[status(thm)],[30366, 2744, 13556])).
% 16.71/11.99 tff(30368,plain,
% 16.71/11.99 (((~v1(constB49)) | (~v181(constB49))) | v1(constB49)),
% 16.71/11.99 inference(tautology,[status(thm)],[])).
% 16.71/11.99 tff(30369,plain,
% 16.71/11.99 ((~v1(constB49)) | (~v181(constB49))),
% 16.71/11.99 inference(unit_resolution,[status(thm)],[30368, 2703])).
% 16.71/11.99 tff(30370,plain,
% 16.71/11.99 ((~(v180(constB49) <=> (~((~v1(constB49)) | (~v181(constB49)))))) | (~v180(constB49)) | (~((~v1(constB49)) | (~v181(constB49))))),
% 16.71/11.99 inference(tautology,[status(thm)],[])).
% 16.71/11.99 tff(30371,plain,
% 16.71/11.99 ((~(v180(constB49) <=> (~((~v1(constB49)) | (~v181(constB49)))))) | (~v180(constB49))),
% 16.71/11.99 inference(unit_resolution,[status(thm)],[30370, 30369])).
% 16.71/11.99 tff(30372,plain,
% 16.71/11.99 (~v180(constB49)),
% 16.71/11.99 inference(unit_resolution,[status(thm)],[30371, 30367])).
% 16.71/11.99 tff(30373,plain,
% 16.71/11.99 ((~(v179(constB49) <=> v180(constB49))) | (~v179(constB49)) | v180(constB49)),
% 16.71/11.99 inference(tautology,[status(thm)],[])).
% 16.71/11.99 tff(30374,plain,
% 16.71/11.99 (~v179(constB49)),
% 16.71/11.99 inference(unit_resolution,[status(thm)],[30373, 30372, 30360])).
% 16.71/11.99 tff(30375,plain,
% 16.71/11.99 (((~![VarCurr: $i, VarNext: $i] : ((v159(VarNext) <=> v159(VarCurr)) | v179(VarNext) | (~nextState(VarCurr, VarNext)))) | ((~nextState(constB48, constB49)) | v179(constB49) | (v159(constB49) <=> v159(constB48)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((v159(VarNext) <=> v159(VarCurr)) | v179(VarNext) | (~nextState(VarCurr, VarNext)))) | (~nextState(constB48, constB49)) | v179(constB49) | (v159(constB49) <=> v159(constB48)))),
% 16.71/11.99 inference(rewrite,[status(thm)],[])).
% 16.71/11.99 tff(30376,plain,
% 16.71/11.99 (((v159(constB49) <=> v159(constB48)) | v179(constB49) | (~nextState(constB48, constB49))) <=> ((~nextState(constB48, constB49)) | v179(constB49) | (v159(constB49) <=> v159(constB48)))),
% 16.71/11.99 inference(rewrite,[status(thm)],[])).
% 16.71/11.99 tff(30377,plain,
% 16.71/11.99 (((~![VarCurr: $i, VarNext: $i] : ((v159(VarNext) <=> v159(VarCurr)) | v179(VarNext) | (~nextState(VarCurr, VarNext)))) | ((v159(constB49) <=> v159(constB48)) | v179(constB49) | (~nextState(constB48, constB49)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((v159(VarNext) <=> v159(VarCurr)) | v179(VarNext) | (~nextState(VarCurr, VarNext)))) | ((~nextState(constB48, constB49)) | v179(constB49) | (v159(constB49) <=> v159(constB48))))),
% 16.71/11.99 inference(monotonicity,[status(thm)],[30376])).
% 16.71/11.99 tff(30378,plain,
% 16.71/11.99 (((~![VarCurr: $i, VarNext: $i] : ((v159(VarNext) <=> v159(VarCurr)) | v179(VarNext) | (~nextState(VarCurr, VarNext)))) | ((v159(constB49) <=> v159(constB48)) | v179(constB49) | (~nextState(constB48, constB49)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((v159(VarNext) <=> v159(VarCurr)) | v179(VarNext) | (~nextState(VarCurr, VarNext)))) | (~nextState(constB48, constB49)) | v179(constB49) | (v159(constB49) <=> v159(constB48)))),
% 16.71/11.99 inference(transitivity,[status(thm)],[30377, 30375])).
% 16.71/11.99 tff(30379,plain,
% 16.71/11.99 ((~![VarCurr: $i, VarNext: $i] : ((v159(VarNext) <=> v159(VarCurr)) | v179(VarNext) | (~nextState(VarCurr, VarNext)))) | ((v159(constB49) <=> v159(constB48)) | v179(constB49) | (~nextState(constB48, constB49)))),
% 16.71/12.00 inference(quant_inst,[status(thm)],[])).
% 16.71/12.00 tff(30380,plain,
% 16.71/12.00 ((~![VarCurr: $i, VarNext: $i] : ((v159(VarNext) <=> v159(VarCurr)) | v179(VarNext) | (~nextState(VarCurr, VarNext)))) | (~nextState(constB48, constB49)) | v179(constB49) | (v159(constB49) <=> v159(constB48))),
% 16.71/12.00 inference(modus_ponens,[status(thm)],[30379, 30378])).
% 16.71/12.00 tff(30381,plain,
% 16.71/12.00 (v179(constB49) | (v159(constB49) <=> v159(constB48))),
% 16.71/12.00 inference(unit_resolution,[status(thm)],[30380, 2744, 13580])).
% 16.71/12.00 tff(30382,plain,
% 16.71/12.00 (v159(constB49) <=> v159(constB48)),
% 16.71/12.00 inference(unit_resolution,[status(thm)],[30381, 30374])).
% 16.71/12.00 tff(30383,plain,
% 16.71/12.00 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v179(VarNext) <=> v180(VarNext)))) | ((~nextState(constB47, constB48)) | (v179(constB48) <=> v180(constB48)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v179(VarNext) <=> v180(VarNext)))) | (~nextState(constB47, constB48)) | (v179(constB48) <=> v180(constB48)))),
% 16.71/12.00 inference(rewrite,[status(thm)],[])).
% 16.71/12.00 tff(30384,plain,
% 16.71/12.00 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v179(VarNext) <=> v180(VarNext)))) | ((~nextState(constB47, constB48)) | (v179(constB48) <=> v180(constB48)))),
% 16.71/12.00 inference(quant_inst,[status(thm)],[])).
% 16.71/12.00 tff(30385,plain,
% 16.71/12.00 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v179(VarNext) <=> v180(VarNext)))) | (~nextState(constB47, constB48)) | (v179(constB48) <=> v180(constB48))),
% 16.71/12.00 inference(modus_ponens,[status(thm)],[30384, 30383])).
% 16.71/12.00 tff(30386,plain,
% 16.71/12.00 (v179(constB48) <=> v180(constB48)),
% 16.71/12.00 inference(unit_resolution,[status(thm)],[30385, 2776, 13536])).
% 16.71/12.00 tff(30387,plain,
% 16.71/12.00 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> (~((~v181(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB47, constB48)) | (v180(constB48) <=> (~((~v1(constB48)) | (~v181(constB48))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> (~((~v181(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB47, constB48)) | (v180(constB48) <=> (~((~v1(constB48)) | (~v181(constB48))))))),
% 16.71/12.00 inference(rewrite,[status(thm)],[])).
% 16.71/12.00 tff(30388,plain,
% 16.71/12.00 (((~nextState(constB47, constB48)) | (v180(constB48) <=> (~((~v181(constB48)) | (~v1(constB48)))))) <=> ((~nextState(constB47, constB48)) | (v180(constB48) <=> (~((~v1(constB48)) | (~v181(constB48))))))),
% 16.71/12.00 inference(rewrite,[status(thm)],[])).
% 16.71/12.00 tff(30389,plain,
% 16.71/12.00 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> (~((~v181(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB47, constB48)) | (v180(constB48) <=> (~((~v181(constB48)) | (~v1(constB48))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> (~((~v181(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB47, constB48)) | (v180(constB48) <=> (~((~v1(constB48)) | (~v181(constB48)))))))),
% 16.71/12.00 inference(monotonicity,[status(thm)],[30388])).
% 16.71/12.00 tff(30390,plain,
% 16.71/12.00 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> (~((~v181(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB47, constB48)) | (v180(constB48) <=> (~((~v181(constB48)) | (~v1(constB48))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> (~((~v181(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB47, constB48)) | (v180(constB48) <=> (~((~v1(constB48)) | (~v181(constB48))))))),
% 16.71/12.00 inference(transitivity,[status(thm)],[30389, 30387])).
% 16.71/12.00 tff(30391,plain,
% 16.71/12.00 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> (~((~v181(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB47, constB48)) | (v180(constB48) <=> (~((~v181(constB48)) | (~v1(constB48))))))),
% 16.71/12.00 inference(quant_inst,[status(thm)],[])).
% 16.71/12.00 tff(30392,plain,
% 16.71/12.00 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> (~((~v181(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB47, constB48)) | (v180(constB48) <=> (~((~v1(constB48)) | (~v181(constB48)))))),
% 16.80/12.00 inference(modus_ponens,[status(thm)],[30391, 30390])).
% 16.80/12.00 tff(30393,plain,
% 16.80/12.00 (v180(constB48) <=> (~((~v1(constB48)) | (~v181(constB48))))),
% 16.80/12.00 inference(unit_resolution,[status(thm)],[30392, 2776, 13556])).
% 16.80/12.00 tff(30394,plain,
% 16.80/12.00 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v181(VarNext)) <=> v104(VarNext)))) | ((~nextState(constB47, constB48)) | ((~v181(constB48)) <=> v104(constB48)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v181(VarNext)) <=> v104(VarNext)))) | (~nextState(constB47, constB48)) | ((~v181(constB48)) <=> v104(constB48)))),
% 16.80/12.00 inference(rewrite,[status(thm)],[])).
% 16.80/12.00 tff(30395,plain,
% 16.80/12.00 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v181(VarNext)) <=> v104(VarNext)))) | ((~nextState(constB47, constB48)) | ((~v181(constB48)) <=> v104(constB48)))),
% 16.80/12.00 inference(quant_inst,[status(thm)],[])).
% 16.80/12.00 tff(30396,plain,
% 16.80/12.00 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v181(VarNext)) <=> v104(VarNext)))) | (~nextState(constB47, constB48)) | ((~v181(constB48)) <=> v104(constB48))),
% 16.80/12.00 inference(modus_ponens,[status(thm)],[30395, 30394])).
% 16.80/12.00 tff(30397,plain,
% 16.80/12.00 ((~v181(constB48)) <=> v104(constB48)),
% 16.80/12.00 inference(unit_resolution,[status(thm)],[30396, 2776, 13612])).
% 16.80/12.00 tff(30398,plain,
% 16.80/12.00 ((~((~v181(constB48)) <=> v104(constB48))) | v181(constB48) | v104(constB48)),
% 16.80/12.00 inference(tautology,[status(thm)],[])).
% 16.80/12.00 tff(30399,plain,
% 16.80/12.00 (v181(constB48)),
% 16.80/12.00 inference(unit_resolution,[status(thm)],[30398, 2801, 30397])).
% 16.80/12.00 tff(30400,plain,
% 16.80/12.00 ((~((~v1(constB48)) | (~v181(constB48)))) | (~v1(constB48)) | (~v181(constB48))),
% 16.80/12.00 inference(tautology,[status(thm)],[])).
% 16.80/12.00 tff(30401,plain,
% 16.80/12.00 ((~((~v1(constB48)) | (~v181(constB48)))) | (~v181(constB48))),
% 16.80/12.00 inference(unit_resolution,[status(thm)],[30400, 2806])).
% 16.80/12.00 tff(30402,plain,
% 16.80/12.00 (~((~v1(constB48)) | (~v181(constB48)))),
% 16.80/12.00 inference(unit_resolution,[status(thm)],[30401, 30399])).
% 16.80/12.00 tff(30403,plain,
% 16.80/12.00 ((~(v180(constB48) <=> (~((~v1(constB48)) | (~v181(constB48)))))) | v180(constB48) | ((~v1(constB48)) | (~v181(constB48)))),
% 16.80/12.00 inference(tautology,[status(thm)],[])).
% 16.80/12.00 tff(30404,plain,
% 16.80/12.00 (v180(constB48)),
% 16.80/12.00 inference(unit_resolution,[status(thm)],[30403, 30402, 30393])).
% 16.80/12.00 tff(30405,plain,
% 16.80/12.00 ((~(v179(constB48) <=> v180(constB48))) | v179(constB48) | (~v180(constB48))),
% 16.80/12.00 inference(tautology,[status(thm)],[])).
% 16.80/12.00 tff(30406,plain,
% 16.80/12.00 (v179(constB48)),
% 16.80/12.00 inference(unit_resolution,[status(thm)],[30405, 30404, 30386])).
% 16.80/12.00 tff(30407,plain,
% 16.80/12.00 (((~![VarNext: $i] : ((~v179(VarNext)) | (v159(VarNext) <=> v186(VarNext)))) | ((~v179(constB48)) | (v159(constB48) <=> v186(constB48)))) <=> ((~![VarNext: $i] : ((~v179(VarNext)) | (v159(VarNext) <=> v186(VarNext)))) | (~v179(constB48)) | (v159(constB48) <=> v186(constB48)))),
% 16.80/12.00 inference(rewrite,[status(thm)],[])).
% 16.80/12.00 tff(30408,plain,
% 16.80/12.00 ((~![VarNext: $i] : ((~v179(VarNext)) | (v159(VarNext) <=> v186(VarNext)))) | ((~v179(constB48)) | (v159(constB48) <=> v186(constB48)))),
% 16.80/12.00 inference(quant_inst,[status(thm)],[])).
% 16.80/12.00 tff(30409,plain,
% 16.80/12.00 ((~![VarNext: $i] : ((~v179(VarNext)) | (v159(VarNext) <=> v186(VarNext)))) | (~v179(constB48)) | (v159(constB48) <=> v186(constB48))),
% 16.80/12.00 inference(modus_ponens,[status(thm)],[30408, 30407])).
% 16.80/12.00 tff(30410,plain,
% 16.80/12.00 (v159(constB48) <=> v186(constB48)),
% 16.80/12.00 inference(unit_resolution,[status(thm)],[30409, 13648, 30406])).
% 16.80/12.00 tff(30411,plain,
% 16.80/12.00 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v186(VarNext) <=> v161(VarCurr)))) | ((~nextState(constB47, constB48)) | (v186(constB48) <=> v161(constB47)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v186(VarNext) <=> v161(VarCurr)))) | (~nextState(constB47, constB48)) | (v186(constB48) <=> v161(constB47)))),
% 16.80/12.00 inference(rewrite,[status(thm)],[])).
% 16.80/12.00 tff(30412,plain,
% 16.80/12.00 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v186(VarNext) <=> v161(VarCurr)))) | ((~nextState(constB47, constB48)) | (v186(constB48) <=> v161(constB47)))),
% 16.80/12.00 inference(quant_inst,[status(thm)],[])).
% 16.80/12.00 tff(30413,plain,
% 16.80/12.00 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v186(VarNext) <=> v161(VarCurr)))) | (~nextState(constB47, constB48)) | (v186(constB48) <=> v161(constB47))),
% 16.80/12.00 inference(modus_ponens,[status(thm)],[30412, 30411])).
% 16.80/12.00 tff(30414,plain,
% 16.80/12.00 (v186(constB48) <=> v161(constB47)),
% 16.80/12.00 inference(unit_resolution,[status(thm)],[30413, 2776, 13662])).
% 16.80/12.00 tff(30415,plain,
% 16.80/12.00 ((~![VarCurr: $i] : (v161(VarCurr) <=> v163(VarCurr))) | (v161(constB47) <=> v163(constB47))),
% 16.80/12.00 inference(quant_inst,[status(thm)],[])).
% 16.80/12.00 tff(30416,plain,
% 16.80/12.00 (v161(constB47) <=> v163(constB47)),
% 16.80/12.00 inference(unit_resolution,[status(thm)],[30415, 357])).
% 16.80/12.00 tff(30417,plain,
% 16.80/12.00 ((~![VarCurr: $i] : (v171(VarCurr) <=> (v142(VarCurr) | v150(VarCurr)))) | (v171(constB47) <=> (v142(constB47) | v150(constB47)))),
% 16.80/12.00 inference(quant_inst,[status(thm)],[])).
% 16.80/12.00 tff(30418,plain,
% 16.80/12.00 (v171(constB47) <=> (v142(constB47) | v150(constB47))),
% 16.80/12.00 inference(unit_resolution,[status(thm)],[30417, 369])).
% 16.80/12.00 tff(30419,plain,
% 16.80/12.00 ((~![VarCurr: $i] : (v150(VarCurr) <=> (v141(VarCurr) | v151(VarCurr)))) | (v150(constB47) <=> (v141(constB47) | v151(constB47)))),
% 16.80/12.00 inference(quant_inst,[status(thm)],[])).
% 16.80/12.00 tff(30420,plain,
% 16.80/12.00 (v150(constB47) <=> (v141(constB47) | v151(constB47))),
% 16.80/12.00 inference(unit_resolution,[status(thm)],[30419, 13680])).
% 16.80/12.00 tff(30421,plain,
% 16.80/12.00 ((~![VarCurr: $i] : (v151(VarCurr) <=> (v139(VarCurr) | v140(VarCurr)))) | (v151(constB47) <=> (v139(constB47) | v140(constB47)))),
% 16.80/12.00 inference(quant_inst,[status(thm)],[])).
% 16.80/12.00 tff(30422,plain,
% 16.80/12.00 (v151(constB47) <=> (v139(constB47) | v140(constB47))),
% 16.80/12.00 inference(unit_resolution,[status(thm)],[30421, 13689])).
% 16.80/12.00 tff(30423,plain,
% 16.80/12.00 (((~![VarCurr: $i] : (v140(VarCurr) <=> (~(v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex0)))))) | (v140(constB47) <=> (~(v88(constB47, bitIndex2) | v88(constB47, bitIndex1) | (~v88(constB47, bitIndex0)))))) <=> ((~![VarCurr: $i] : (v140(VarCurr) <=> (~(v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex0)))))) | (v140(constB47) <=> (~(v88(constB47, bitIndex2) | v88(constB47, bitIndex1) | (~v88(constB47, bitIndex0))))))),
% 16.80/12.00 inference(rewrite,[status(thm)],[])).
% 16.80/12.00 tff(30424,plain,
% 16.80/12.00 ((v140(constB47) <=> (~(v88(constB47, bitIndex1) | v88(constB47, bitIndex2) | (~v88(constB47, bitIndex0))))) <=> (v140(constB47) <=> (~(v88(constB47, bitIndex2) | v88(constB47, bitIndex1) | (~v88(constB47, bitIndex0)))))),
% 16.80/12.00 inference(rewrite,[status(thm)],[])).
% 16.80/12.00 tff(30425,plain,
% 16.80/12.00 (((~![VarCurr: $i] : (v140(VarCurr) <=> (~(v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex0)))))) | (v140(constB47) <=> (~(v88(constB47, bitIndex1) | v88(constB47, bitIndex2) | (~v88(constB47, bitIndex0)))))) <=> ((~![VarCurr: $i] : (v140(VarCurr) <=> (~(v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex0)))))) | (v140(constB47) <=> (~(v88(constB47, bitIndex2) | v88(constB47, bitIndex1) | (~v88(constB47, bitIndex0))))))),
% 16.80/12.00 inference(monotonicity,[status(thm)],[30424])).
% 16.80/12.00 tff(30426,plain,
% 16.80/12.00 (((~![VarCurr: $i] : (v140(VarCurr) <=> (~(v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex0)))))) | (v140(constB47) <=> (~(v88(constB47, bitIndex1) | v88(constB47, bitIndex2) | (~v88(constB47, bitIndex0)))))) <=> ((~![VarCurr: $i] : (v140(VarCurr) <=> (~(v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex0)))))) | (v140(constB47) <=> (~(v88(constB47, bitIndex2) | v88(constB47, bitIndex1) | (~v88(constB47, bitIndex0))))))),
% 16.80/12.00 inference(transitivity,[status(thm)],[30425, 30423])).
% 16.80/12.00 tff(30427,plain,
% 16.80/12.00 ((~![VarCurr: $i] : (v140(VarCurr) <=> (~(v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex0)))))) | (v140(constB47) <=> (~(v88(constB47, bitIndex1) | v88(constB47, bitIndex2) | (~v88(constB47, bitIndex0)))))),
% 16.80/12.00 inference(quant_inst,[status(thm)],[])).
% 16.80/12.00 tff(30428,plain,
% 16.80/12.00 ((~![VarCurr: $i] : (v140(VarCurr) <=> (~(v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex0)))))) | (v140(constB47) <=> (~(v88(constB47, bitIndex2) | v88(constB47, bitIndex1) | (~v88(constB47, bitIndex0)))))),
% 16.80/12.01 inference(modus_ponens,[status(thm)],[30427, 30426])).
% 16.80/12.01 tff(30429,plain,
% 16.80/12.01 (v140(constB47) <=> (~(v88(constB47, bitIndex2) | v88(constB47, bitIndex1) | (~v88(constB47, bitIndex0))))),
% 16.80/12.01 inference(unit_resolution,[status(thm)],[30428, 13704])).
% 16.80/12.01 tff(30430,plain,
% 16.80/12.01 (((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | ((~less_3(bitIndex2)) | (v88(constB47, bitIndex2) <=> v90(constB47, bitIndex2)))) <=> ((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | (~less_3(bitIndex2)) | (v88(constB47, bitIndex2) <=> v90(constB47, bitIndex2)))),
% 16.80/12.01 inference(rewrite,[status(thm)],[])).
% 16.80/12.01 tff(30431,plain,
% 16.80/12.01 ((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | ((~less_3(bitIndex2)) | (v88(constB47, bitIndex2) <=> v90(constB47, bitIndex2)))),
% 16.80/12.01 inference(quant_inst,[status(thm)],[])).
% 16.80/12.01 tff(30432,plain,
% 16.80/12.01 ((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | (~less_3(bitIndex2)) | (v88(constB47, bitIndex2) <=> v90(constB47, bitIndex2))),
% 16.80/12.01 inference(modus_ponens,[status(thm)],[30431, 30430])).
% 16.80/12.01 tff(30433,plain,
% 16.80/12.01 (v88(constB47, bitIndex2) <=> v90(constB47, bitIndex2)),
% 16.80/12.01 inference(unit_resolution,[status(thm)],[30432, 413, 410])).
% 16.80/12.01 tff(30434,plain,
% 16.80/12.01 ((~(v88(constB47, bitIndex2) <=> v90(constB47, bitIndex2))) | (~v88(constB47, bitIndex2)) | v90(constB47, bitIndex2)),
% 16.80/12.01 inference(tautology,[status(thm)],[])).
% 16.80/12.01 tff(30435,plain,
% 16.80/12.01 (~v88(constB47, bitIndex2)),
% 16.80/12.01 inference(unit_resolution,[status(thm)],[30434, 9019, 30433])).
% 16.80/12.01 tff(30436,plain,
% 16.80/12.01 (((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | ((~less_3(bitIndex0)) | (v88(constB47, bitIndex0) <=> v90(constB47, bitIndex0)))) <=> ((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | (~less_3(bitIndex0)) | (v88(constB47, bitIndex0) <=> v90(constB47, bitIndex0)))),
% 16.80/12.01 inference(rewrite,[status(thm)],[])).
% 16.80/12.01 tff(30437,plain,
% 16.80/12.01 ((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | ((~less_3(bitIndex0)) | (v88(constB47, bitIndex0) <=> v90(constB47, bitIndex0)))),
% 16.80/12.01 inference(quant_inst,[status(thm)],[])).
% 16.80/12.01 tff(30438,plain,
% 16.80/12.01 ((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | (~less_3(bitIndex0)) | (v88(constB47, bitIndex0) <=> v90(constB47, bitIndex0))),
% 16.80/12.01 inference(modus_ponens,[status(thm)],[30437, 30436])).
% 16.80/12.01 tff(30439,plain,
% 16.80/12.01 (v88(constB47, bitIndex0) <=> v90(constB47, bitIndex0)),
% 16.80/12.01 inference(unit_resolution,[status(thm)],[30438, 5004, 410])).
% 16.80/12.01 tff(30440,plain,
% 16.80/12.01 ((~(v88(constB47, bitIndex0) <=> v90(constB47, bitIndex0))) | v88(constB47, bitIndex0) | (~v90(constB47, bitIndex0))),
% 16.80/12.01 inference(tautology,[status(thm)],[])).
% 16.80/12.01 tff(30441,plain,
% 16.80/12.01 (v88(constB47, bitIndex0)),
% 16.80/12.01 inference(unit_resolution,[status(thm)],[30440, 9050, 30439])).
% 16.80/12.01 tff(30442,plain,
% 16.80/12.01 (((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | ((~less_3(bitIndex1)) | (v88(constB47, bitIndex1) <=> v90(constB47, bitIndex1)))) <=> ((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | (~less_3(bitIndex1)) | (v88(constB47, bitIndex1) <=> v90(constB47, bitIndex1)))),
% 16.80/12.01 inference(rewrite,[status(thm)],[])).
% 16.80/12.01 tff(30443,plain,
% 16.80/12.01 ((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | ((~less_3(bitIndex1)) | (v88(constB47, bitIndex1) <=> v90(constB47, bitIndex1)))),
% 16.80/12.01 inference(quant_inst,[status(thm)],[])).
% 16.80/12.01 tff(30444,plain,
% 16.80/12.01 ((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | (~less_3(bitIndex1)) | (v88(constB47, bitIndex1) <=> v90(constB47, bitIndex1))),
% 16.80/12.01 inference(modus_ponens,[status(thm)],[30443, 30442])).
% 16.80/12.01 tff(30445,plain,
% 16.80/12.01 (v88(constB47, bitIndex1) <=> v90(constB47, bitIndex1)),
% 16.80/12.01 inference(unit_resolution,[status(thm)],[30444, 5017, 410])).
% 16.80/12.01 tff(30446,plain,
% 16.80/12.01 ((~(v88(constB47, bitIndex1) <=> v90(constB47, bitIndex1))) | (~v88(constB47, bitIndex1)) | v90(constB47, bitIndex1)),
% 16.80/12.01 inference(tautology,[status(thm)],[])).
% 16.80/12.01 tff(30447,plain,
% 16.80/12.01 (~v88(constB47, bitIndex1)),
% 16.80/12.01 inference(unit_resolution,[status(thm)],[30446, 9081, 30445])).
% 16.80/12.01 tff(30448,plain,
% 16.80/12.01 ((~(v88(constB47, bitIndex2) | v88(constB47, bitIndex1) | (~v88(constB47, bitIndex0)))) | v88(constB47, bitIndex2) | v88(constB47, bitIndex1) | (~v88(constB47, bitIndex0))),
% 16.80/12.01 inference(tautology,[status(thm)],[])).
% 16.80/12.01 tff(30449,plain,
% 16.80/12.01 (~(v88(constB47, bitIndex2) | v88(constB47, bitIndex1) | (~v88(constB47, bitIndex0)))),
% 16.80/12.01 inference(unit_resolution,[status(thm)],[30448, 30447, 30441, 30435])).
% 16.80/12.01 tff(30450,plain,
% 16.80/12.01 ((~(v140(constB47) <=> (~(v88(constB47, bitIndex2) | v88(constB47, bitIndex1) | (~v88(constB47, bitIndex0)))))) | v140(constB47) | (v88(constB47, bitIndex2) | v88(constB47, bitIndex1) | (~v88(constB47, bitIndex0)))),
% 16.80/12.01 inference(tautology,[status(thm)],[])).
% 16.80/12.01 tff(30451,plain,
% 16.80/12.01 (v140(constB47)),
% 16.80/12.01 inference(unit_resolution,[status(thm)],[30450, 30449, 30429])).
% 16.80/12.01 tff(30452,plain,
% 16.80/12.01 ((v139(constB47) | v140(constB47)) | (~v140(constB47))),
% 16.80/12.01 inference(tautology,[status(thm)],[])).
% 16.80/12.01 tff(30453,plain,
% 16.80/12.01 (v139(constB47) | v140(constB47)),
% 16.80/12.01 inference(unit_resolution,[status(thm)],[30452, 30451])).
% 16.80/12.01 tff(30454,plain,
% 16.80/12.01 ((~(v151(constB47) <=> (v139(constB47) | v140(constB47)))) | v151(constB47) | (~(v139(constB47) | v140(constB47)))),
% 16.80/12.01 inference(tautology,[status(thm)],[])).
% 16.80/12.01 tff(30455,plain,
% 16.80/12.01 (v151(constB47)),
% 16.80/12.01 inference(unit_resolution,[status(thm)],[30454, 30453, 30422])).
% 16.80/12.01 tff(30456,plain,
% 16.80/12.01 ((v141(constB47) | v151(constB47)) | (~v151(constB47))),
% 16.80/12.01 inference(tautology,[status(thm)],[])).
% 16.80/12.01 tff(30457,plain,
% 16.80/12.01 (v141(constB47) | v151(constB47)),
% 16.80/12.01 inference(unit_resolution,[status(thm)],[30456, 30455])).
% 16.80/12.01 tff(30458,plain,
% 16.80/12.01 ((~(v150(constB47) <=> (v141(constB47) | v151(constB47)))) | v150(constB47) | (~(v141(constB47) | v151(constB47)))),
% 16.80/12.01 inference(tautology,[status(thm)],[])).
% 16.80/12.01 tff(30459,plain,
% 16.80/12.01 (v150(constB47)),
% 16.80/12.01 inference(unit_resolution,[status(thm)],[30458, 30457, 30420])).
% 16.80/12.01 tff(30460,plain,
% 16.80/12.01 ((v142(constB47) | v150(constB47)) | (~v150(constB47))),
% 16.80/12.01 inference(tautology,[status(thm)],[])).
% 16.80/12.01 tff(30461,plain,
% 16.80/12.01 (v142(constB47) | v150(constB47)),
% 16.80/12.01 inference(unit_resolution,[status(thm)],[30460, 30459])).
% 16.80/12.01 tff(30462,plain,
% 16.80/12.01 ((~(v171(constB47) <=> (v142(constB47) | v150(constB47)))) | v171(constB47) | (~(v142(constB47) | v150(constB47)))),
% 16.80/12.01 inference(tautology,[status(thm)],[])).
% 16.80/12.01 tff(30463,plain,
% 16.80/12.01 (v171(constB47)),
% 16.80/12.01 inference(unit_resolution,[status(thm)],[30462, 30461, 30418])).
% 16.80/12.01 tff(30464,plain,
% 16.80/12.01 (((~![VarCurr: $i] : ((~v171(VarCurr)) | (~v170(VarCurr)))) | ((~v170(constB47)) | (~v171(constB47)))) <=> ((~![VarCurr: $i] : ((~v171(VarCurr)) | (~v170(VarCurr)))) | (~v170(constB47)) | (~v171(constB47)))),
% 16.80/12.01 inference(rewrite,[status(thm)],[])).
% 16.80/12.01 tff(30465,plain,
% 16.80/12.01 (((~v171(constB47)) | (~v170(constB47))) <=> ((~v170(constB47)) | (~v171(constB47)))),
% 16.80/12.01 inference(rewrite,[status(thm)],[])).
% 16.80/12.01 tff(30466,plain,
% 16.80/12.01 (((~![VarCurr: $i] : ((~v171(VarCurr)) | (~v170(VarCurr)))) | ((~v171(constB47)) | (~v170(constB47)))) <=> ((~![VarCurr: $i] : ((~v171(VarCurr)) | (~v170(VarCurr)))) | ((~v170(constB47)) | (~v171(constB47))))),
% 16.80/12.01 inference(monotonicity,[status(thm)],[30465])).
% 16.80/12.01 tff(30467,plain,
% 16.80/12.01 (((~![VarCurr: $i] : ((~v171(VarCurr)) | (~v170(VarCurr)))) | ((~v171(constB47)) | (~v170(constB47)))) <=> ((~![VarCurr: $i] : ((~v171(VarCurr)) | (~v170(VarCurr)))) | (~v170(constB47)) | (~v171(constB47)))),
% 16.80/12.01 inference(transitivity,[status(thm)],[30466, 30464])).
% 16.80/12.01 tff(30468,plain,
% 16.80/12.01 ((~![VarCurr: $i] : ((~v171(VarCurr)) | (~v170(VarCurr)))) | ((~v171(constB47)) | (~v170(constB47)))),
% 16.80/12.01 inference(quant_inst,[status(thm)],[])).
% 16.80/12.01 tff(30469,plain,
% 16.80/12.01 ((~![VarCurr: $i] : ((~v171(VarCurr)) | (~v170(VarCurr)))) | (~v170(constB47)) | (~v171(constB47))),
% 16.80/12.01 inference(modus_ponens,[status(thm)],[30468, 30467])).
% 16.80/12.01 tff(30470,plain,
% 16.80/12.01 ((~v170(constB47)) | (~v171(constB47))),
% 16.80/12.01 inference(unit_resolution,[status(thm)],[30469, 13061])).
% 16.80/12.01 tff(30471,plain,
% 16.80/12.01 (~v170(constB47)),
% 16.80/12.01 inference(unit_resolution,[status(thm)],[30470, 30463])).
% 16.80/12.01 tff(30472,plain,
% 16.80/12.01 ((~![VarCurr: $i] : (v166(VarCurr) <=> (v145(VarCurr) | v167(VarCurr)))) | (v166(constB47) <=> (v145(constB47) | v167(constB47)))),
% 16.80/12.01 inference(quant_inst,[status(thm)],[])).
% 16.80/12.01 tff(30473,plain,
% 16.80/12.01 (v166(constB47) <=> (v145(constB47) | v167(constB47))),
% 16.80/12.01 inference(unit_resolution,[status(thm)],[30472, 13079])).
% 16.80/12.01 tff(30474,plain,
% 16.80/12.01 ((~![VarCurr: $i] : (v167(VarCurr) <=> (v142(VarCurr) | v168(VarCurr)))) | (v167(constB47) <=> (v142(constB47) | v168(constB47)))),
% 16.80/12.01 inference(quant_inst,[status(thm)],[])).
% 16.80/12.01 tff(30475,plain,
% 16.80/12.01 (v167(constB47) <=> (v142(constB47) | v168(constB47))),
% 16.80/12.01 inference(unit_resolution,[status(thm)],[30474, 13091])).
% 16.80/12.01 tff(30476,plain,
% 16.80/12.01 ((~![VarCurr: $i] : (v168(VarCurr) <=> (v141(VarCurr) | v169(VarCurr)))) | (v168(constB47) <=> (v141(constB47) | v169(constB47)))),
% 16.80/12.01 inference(quant_inst,[status(thm)],[])).
% 16.80/12.01 tff(30477,plain,
% 16.80/12.01 (v168(constB47) <=> (v141(constB47) | v169(constB47))),
% 16.80/12.01 inference(unit_resolution,[status(thm)],[30476, 20513])).
% 16.80/12.01 tff(30478,plain,
% 16.80/12.01 ((~![VarCurr: $i] : (v169(VarCurr) <=> (v139(VarCurr) | v140(VarCurr)))) | (v169(constB47) <=> (v139(constB47) | v140(constB47)))),
% 16.80/12.01 inference(quant_inst,[status(thm)],[])).
% 16.80/12.01 tff(30479,plain,
% 16.80/12.01 (v169(constB47) <=> (v139(constB47) | v140(constB47))),
% 16.80/12.01 inference(unit_resolution,[status(thm)],[30478, 20522])).
% 16.80/12.01 tff(30480,plain,
% 16.80/12.01 ((~(v169(constB47) <=> (v139(constB47) | v140(constB47)))) | v169(constB47) | (~(v139(constB47) | v140(constB47)))),
% 16.80/12.01 inference(tautology,[status(thm)],[])).
% 16.80/12.01 tff(30481,plain,
% 16.80/12.01 (v169(constB47)),
% 16.80/12.01 inference(unit_resolution,[status(thm)],[30480, 30453, 30479])).
% 16.80/12.01 tff(30482,plain,
% 16.80/12.01 ((v141(constB47) | v169(constB47)) | (~v169(constB47))),
% 16.80/12.01 inference(tautology,[status(thm)],[])).
% 16.80/12.01 tff(30483,plain,
% 16.80/12.01 (v141(constB47) | v169(constB47)),
% 16.80/12.01 inference(unit_resolution,[status(thm)],[30482, 30481])).
% 16.80/12.01 tff(30484,plain,
% 16.80/12.01 ((~(v168(constB47) <=> (v141(constB47) | v169(constB47)))) | v168(constB47) | (~(v141(constB47) | v169(constB47)))),
% 16.80/12.01 inference(tautology,[status(thm)],[])).
% 16.80/12.01 tff(30485,plain,
% 16.80/12.01 (v168(constB47)),
% 16.80/12.01 inference(unit_resolution,[status(thm)],[30484, 30483, 30477])).
% 16.80/12.01 tff(30486,plain,
% 16.80/12.01 ((v142(constB47) | v168(constB47)) | (~v168(constB47))),
% 16.80/12.01 inference(tautology,[status(thm)],[])).
% 16.80/12.01 tff(30487,plain,
% 16.80/12.01 (v142(constB47) | v168(constB47)),
% 16.80/12.01 inference(unit_resolution,[status(thm)],[30486, 30485])).
% 16.80/12.01 tff(30488,plain,
% 16.80/12.01 ((~(v167(constB47) <=> (v142(constB47) | v168(constB47)))) | v167(constB47) | (~(v142(constB47) | v168(constB47)))),
% 16.80/12.01 inference(tautology,[status(thm)],[])).
% 16.80/12.01 tff(30489,plain,
% 16.80/12.01 (v167(constB47)),
% 16.80/12.01 inference(unit_resolution,[status(thm)],[30488, 30487, 30475])).
% 16.80/12.01 tff(30490,plain,
% 16.80/12.01 ((v145(constB47) | v167(constB47)) | (~v167(constB47))),
% 16.80/12.01 inference(tautology,[status(thm)],[])).
% 16.80/12.01 tff(30491,plain,
% 16.80/12.01 (v145(constB47) | v167(constB47)),
% 16.80/12.01 inference(unit_resolution,[status(thm)],[30490, 30489])).
% 16.80/12.01 tff(30492,plain,
% 16.80/12.01 ((~(v166(constB47) <=> (v145(constB47) | v167(constB47)))) | v166(constB47) | (~(v145(constB47) | v167(constB47)))),
% 16.80/12.01 inference(tautology,[status(thm)],[])).
% 16.80/12.01 tff(30493,plain,
% 16.80/12.01 (v166(constB47)),
% 16.80/12.01 inference(unit_resolution,[status(thm)],[30492, 30491, 30473])).
% 16.80/12.01 tff(30494,plain,
% 16.80/12.01 (((~![VarNext: $i] : ((~v166(VarNext)) | (v163(VarNext) <=> v170(VarNext)))) | ((~v166(constB47)) | (v163(constB47) <=> v170(constB47)))) <=> ((~![VarNext: $i] : ((~v166(VarNext)) | (v163(VarNext) <=> v170(VarNext)))) | (~v166(constB47)) | (v163(constB47) <=> v170(constB47)))),
% 16.80/12.01 inference(rewrite,[status(thm)],[])).
% 16.80/12.01 tff(30495,plain,
% 16.80/12.01 ((~![VarNext: $i] : ((~v166(VarNext)) | (v163(VarNext) <=> v170(VarNext)))) | ((~v166(constB47)) | (v163(constB47) <=> v170(constB47)))),
% 16.80/12.01 inference(quant_inst,[status(thm)],[])).
% 16.80/12.01 tff(30496,plain,
% 16.80/12.01 ((~![VarNext: $i] : ((~v166(VarNext)) | (v163(VarNext) <=> v170(VarNext)))) | (~v166(constB47)) | (v163(constB47) <=> v170(constB47))),
% 16.80/12.01 inference(modus_ponens,[status(thm)],[30495, 30494])).
% 16.80/12.01 tff(30497,plain,
% 16.80/12.01 ((~v166(constB47)) | (v163(constB47) <=> v170(constB47))),
% 16.80/12.01 inference(unit_resolution,[status(thm)],[30496, 13111])).
% 16.80/12.01 tff(30498,plain,
% 16.80/12.01 (v163(constB47) <=> v170(constB47)),
% 16.80/12.01 inference(unit_resolution,[status(thm)],[30497, 30493])).
% 16.80/12.01 tff(30499,plain,
% 16.80/12.01 ((~(v163(constB47) <=> v170(constB47))) | (~v163(constB47)) | v170(constB47)),
% 16.80/12.01 inference(tautology,[status(thm)],[])).
% 16.80/12.01 tff(30500,plain,
% 16.80/12.01 (~v163(constB47)),
% 16.80/12.01 inference(unit_resolution,[status(thm)],[30499, 30498, 30471])).
% 16.80/12.01 tff(30501,plain,
% 16.80/12.01 ((~(v161(constB47) <=> v163(constB47))) | (~v161(constB47)) | v163(constB47)),
% 16.80/12.01 inference(tautology,[status(thm)],[])).
% 16.80/12.01 tff(30502,plain,
% 16.80/12.01 (~v161(constB47)),
% 16.80/12.01 inference(unit_resolution,[status(thm)],[30501, 30500, 30416])).
% 16.80/12.01 tff(30503,plain,
% 16.80/12.01 ((~(v186(constB48) <=> v161(constB47))) | (~v186(constB48)) | v161(constB47)),
% 16.80/12.01 inference(tautology,[status(thm)],[])).
% 16.80/12.01 tff(30504,plain,
% 16.80/12.01 (~v186(constB48)),
% 16.80/12.01 inference(unit_resolution,[status(thm)],[30503, 30502, 30414])).
% 16.80/12.01 tff(30505,plain,
% 16.80/12.01 ((~(v159(constB48) <=> v186(constB48))) | (~v159(constB48)) | v186(constB48)),
% 16.80/12.01 inference(tautology,[status(thm)],[])).
% 16.80/12.01 tff(30506,plain,
% 16.80/12.01 (~v159(constB48)),
% 16.80/12.01 inference(unit_resolution,[status(thm)],[30505, 30504, 30410])).
% 16.80/12.01 tff(30507,plain,
% 16.80/12.01 ((~(v159(constB49) <=> v159(constB48))) | (~v159(constB49)) | v159(constB48)),
% 16.80/12.01 inference(tautology,[status(thm)],[])).
% 16.80/12.01 tff(30508,plain,
% 16.80/12.01 (~v159(constB49)),
% 16.80/12.01 inference(unit_resolution,[status(thm)],[30507, 30506, 30382])).
% 16.80/12.01 tff(30509,plain,
% 16.80/12.01 (((~v159(constB49)) | (~v161(constB49))) | v159(constB49)),
% 16.80/12.01 inference(tautology,[status(thm)],[])).
% 16.80/12.01 tff(30510,plain,
% 16.80/12.01 ((~v159(constB49)) | (~v161(constB49))),
% 16.80/12.01 inference(unit_resolution,[status(thm)],[30509, 30508])).
% 16.80/12.01 tff(30511,plain,
% 16.80/12.01 ((~(v201(constB49) <=> (~((~v159(constB49)) | (~v161(constB49)))))) | (~v201(constB49)) | (~((~v159(constB49)) | (~v161(constB49))))),
% 16.80/12.01 inference(tautology,[status(thm)],[])).
% 16.80/12.01 tff(30512,plain,
% 16.80/12.01 (~v201(constB49)),
% 16.80/12.01 inference(unit_resolution,[status(thm)],[30511, 30510, 30356])).
% 16.80/12.01 tff(30513,plain,
% 16.80/12.01 (((~v197(constB49)) | (~v201(constB49))) | v201(constB49)),
% 16.80/12.01 inference(tautology,[status(thm)],[])).
% 16.80/12.01 tff(30514,plain,
% 16.80/12.01 ((~v197(constB49)) | (~v201(constB49))),
% 16.80/12.01 inference(unit_resolution,[status(thm)],[30513, 30512])).
% 16.80/12.01 tff(30515,plain,
% 16.80/12.01 ((~(v200(constB49) <=> (~((~v197(constB49)) | (~v201(constB49)))))) | (~v200(constB49)) | (~((~v197(constB49)) | (~v201(constB49))))),
% 16.80/12.01 inference(tautology,[status(thm)],[])).
% 16.80/12.01 tff(30516,plain,
% 16.80/12.01 (~v200(constB49)),
% 16.80/12.01 inference(unit_resolution,[status(thm)],[30515, 30514, 30354])).
% 16.80/12.01 tff(30517,plain,
% 16.80/12.01 (((~v199(constB49)) | (~v200(constB49))) | v200(constB49)),
% 16.80/12.01 inference(tautology,[status(thm)],[])).
% 16.80/12.01 tff(30518,plain,
% 16.80/12.01 ((~v199(constB49)) | (~v200(constB49))),
% 16.80/12.01 inference(unit_resolution,[status(thm)],[30517, 30516])).
% 16.80/12.01 tff(30519,plain,
% 16.80/12.01 ((~(v198(constB49) <=> (~((~v199(constB49)) | (~v200(constB49)))))) | (~v198(constB49)) | (~((~v199(constB49)) | (~v200(constB49))))),
% 16.80/12.01 inference(tautology,[status(thm)],[])).
% 16.80/12.01 tff(30520,plain,
% 16.80/12.01 (~v198(constB49)),
% 16.80/12.01 inference(unit_resolution,[status(thm)],[30519, 30518, 30352])).
% 16.80/12.01 tff(30521,plain,
% 16.80/12.01 ((~(v194(constB49) | v198(constB49))) | v194(constB49) | v198(constB49)),
% 16.80/12.01 inference(tautology,[status(thm)],[])).
% 16.80/12.01 tff(30522,plain,
% 16.80/12.01 (~(v194(constB49) | v198(constB49))),
% 16.80/12.01 inference(unit_resolution,[status(thm)],[30521, 30520, 30350])).
% 16.80/12.01 tff(30523,plain,
% 16.80/12.01 ((~(v191(constB49) <=> (v194(constB49) | v198(constB49)))) | (~v191(constB49)) | (v194(constB49) | v198(constB49))),
% 16.80/12.01 inference(tautology,[status(thm)],[])).
% 16.80/12.01 tff(30524,plain,
% 16.80/12.01 (~v191(constB49)),
% 16.80/12.01 inference(unit_resolution,[status(thm)],[30523, 30522, 30277])).
% 16.80/12.01 tff(30525,plain,
% 16.80/12.01 ((~(v193(constB50) <=> v191(constB49))) | (~v193(constB50)) | v191(constB49)),
% 16.80/12.01 inference(tautology,[status(thm)],[])).
% 16.80/12.01 tff(30526,plain,
% 16.80/12.01 (~v193(constB50)),
% 16.80/12.01 inference(unit_resolution,[status(thm)],[30525, 30524, 30275])).
% 16.80/12.01 tff(30527,plain,
% 16.80/12.01 ((~(v157(constB50) <=> v193(constB50))) | (~v157(constB50)) | v193(constB50)),
% 16.80/12.01 inference(tautology,[status(thm)],[])).
% 16.80/12.01 tff(30528,plain,
% 16.80/12.01 (~v157(constB50)),
% 16.80/12.01 inference(unit_resolution,[status(thm)],[30527, 30526, 30271])).
% 16.80/12.01 tff(30529,plain,
% 16.80/12.01 (((~v157(constB50)) | (~v195(constB50))) | v157(constB50)),
% 16.80/12.01 inference(tautology,[status(thm)],[])).
% 16.80/12.01 tff(30530,plain,
% 16.80/12.01 ((~v157(constB50)) | (~v195(constB50))),
% 16.80/12.01 inference(unit_resolution,[status(thm)],[30529, 30528])).
% 16.80/12.01 tff(30531,plain,
% 16.80/12.01 ((~(v194(constB50) <=> (~((~v157(constB50)) | (~v195(constB50)))))) | (~v194(constB50)) | (~((~v157(constB50)) | (~v195(constB50))))),
% 16.80/12.01 inference(tautology,[status(thm)],[])).
% 16.80/12.01 tff(30532,plain,
% 16.80/12.01 (~v194(constB50)),
% 16.80/12.01 inference(unit_resolution,[status(thm)],[30531, 30530, 30269])).
% 16.80/12.01 tff(30533,plain,
% 16.80/12.01 ((~(v194(constB50) | v198(constB50))) | v194(constB50) | v198(constB50)),
% 16.80/12.01 inference(tautology,[status(thm)],[])).
% 16.80/12.01 tff(30534,plain,
% 16.80/12.01 (~(v194(constB50) | v198(constB50))),
% 16.80/12.01 inference(unit_resolution,[status(thm)],[30533, 30532, 30262])).
% 16.80/12.01 tff(30535,plain,
% 16.80/12.01 ((~(v191(constB50) <=> (v194(constB50) | v198(constB50)))) | (~v191(constB50)) | (v194(constB50) | v198(constB50))),
% 16.80/12.01 inference(tautology,[status(thm)],[])).
% 16.80/12.01 tff(30536,plain,
% 16.80/12.01 (~v191(constB50)),
% 16.80/12.01 inference(unit_resolution,[status(thm)],[30535, 30534, 30237])).
% 16.80/12.01 tff(30537,plain,
% 16.80/12.01 ((~(v193(constB51) <=> v191(constB50))) | (~v193(constB51)) | v191(constB50)),
% 16.80/12.01 inference(tautology,[status(thm)],[])).
% 16.80/12.01 tff(30538,plain,
% 16.80/12.01 (~v193(constB51)),
% 16.80/12.01 inference(unit_resolution,[status(thm)],[30537, 30536, 30235])).
% 16.80/12.01 tff(30539,plain,
% 16.80/12.01 ($false),
% 16.80/12.01 inference(unit_resolution,[status(thm)],[30538, 30231])).
% 16.80/12.01 tff(30540,plain,(~(constB51 = VarCurr!0)), inference(lemma,lemma(discharge,[]))).
% 16.80/12.01 tff(30541,assumption,(constB193 = VarCurr!0), introduced(assumption)).
% 16.80/12.01 tff(30542,plain,
% 16.80/12.01 (v193(constB193) <=> v193(VarCurr!0)),
% 16.80/12.01 inference(monotonicity,[status(thm)],[30541])).
% 16.80/12.01 tff(30543,plain,
% 16.80/12.01 (v193(VarCurr!0) <=> v193(constB193)),
% 16.80/12.01 inference(symmetry,[status(thm)],[30542])).
% 16.80/12.01 tff(30544,plain,
% 16.80/12.01 (v193(constB193)),
% 16.80/12.01 inference(modus_ponens,[status(thm)],[59, 30543])).
% 16.80/12.01 tff(30545,plain,
% 16.80/12.01 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v193(VarNext) <=> v191(VarCurr)))) | ((~nextState(constB192, constB193)) | (v193(constB193) <=> v191(constB192)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v193(VarNext) <=> v191(VarCurr)))) | (~nextState(constB192, constB193)) | (v193(constB193) <=> v191(constB192)))),
% 16.80/12.01 inference(rewrite,[status(thm)],[])).
% 16.80/12.01 tff(30546,plain,
% 16.80/12.01 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v193(VarNext) <=> v191(VarCurr)))) | ((~nextState(constB192, constB193)) | (v193(constB193) <=> v191(constB192)))),
% 16.80/12.01 inference(quant_inst,[status(thm)],[])).
% 16.80/12.01 tff(30547,plain,
% 16.80/12.01 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v193(VarNext) <=> v191(VarCurr)))) | (~nextState(constB192, constB193)) | (v193(constB193) <=> v191(constB192))),
% 16.80/12.01 inference(modus_ponens,[status(thm)],[30546, 30545])).
% 16.80/12.01 tff(30548,plain,
% 16.80/12.01 (v193(constB193) <=> v191(constB192)),
% 16.80/12.01 inference(unit_resolution,[status(thm)],[30547, 23923, 70])).
% 16.80/12.01 tff(30549,plain,
% 16.80/12.01 ((~![VarCurr: $i] : (v191(VarCurr) <=> (v194(VarCurr) | v198(VarCurr)))) | (v191(constB192) <=> (v194(constB192) | v198(constB192)))),
% 16.80/12.01 inference(quant_inst,[status(thm)],[])).
% 16.80/12.01 tff(30550,plain,
% 16.80/12.01 (v191(constB192) <=> (v194(constB192) | v198(constB192))),
% 16.80/12.01 inference(unit_resolution,[status(thm)],[30549, 84])).
% 16.80/12.01 tff(30551,plain,
% 16.80/12.01 ((~![VarCurr: $i] : (v198(VarCurr) <=> (~((~v199(VarCurr)) | (~v200(VarCurr)))))) | (v198(constB192) <=> (~((~v199(constB192)) | (~v200(constB192)))))),
% 16.80/12.01 inference(quant_inst,[status(thm)],[])).
% 16.80/12.01 tff(30552,plain,
% 16.80/12.01 (v198(constB192) <=> (~((~v199(constB192)) | (~v200(constB192))))),
% 16.80/12.01 inference(unit_resolution,[status(thm)],[30551, 96])).
% 16.80/12.01 tff(30553,plain,
% 16.80/12.01 ((~![VarCurr: $i] : (v200(VarCurr) <=> (~((~v197(VarCurr)) | (~v201(VarCurr)))))) | (v200(constB192) <=> (~((~v197(constB192)) | (~v201(constB192)))))),
% 16.80/12.02 inference(quant_inst,[status(thm)],[])).
% 16.80/12.02 tff(30554,plain,
% 16.80/12.02 (v200(constB192) <=> (~((~v197(constB192)) | (~v201(constB192))))),
% 16.80/12.02 inference(unit_resolution,[status(thm)],[30553, 108])).
% 16.80/12.02 tff(30555,plain,
% 16.80/12.02 ((~![VarCurr: $i] : (v197(VarCurr) <=> (~((~v39(VarCurr)) | (~v9(VarCurr)))))) | (v197(constB192) <=> (~((~v39(constB192)) | (~v9(constB192)))))),
% 16.80/12.02 inference(quant_inst,[status(thm)],[])).
% 16.80/12.02 tff(30556,plain,
% 16.80/12.02 (v197(constB192) <=> (~((~v39(constB192)) | (~v9(constB192))))),
% 16.80/12.02 inference(unit_resolution,[status(thm)],[30555, 120])).
% 16.80/12.02 tff(30557,plain,
% 16.80/12.02 ((~![VarCurr: $i] : ((~v39(VarCurr)) <=> v1(VarCurr))) | ((~v39(constB192)) <=> v1(constB192))),
% 16.80/12.02 inference(quant_inst,[status(thm)],[])).
% 16.80/12.02 tff(30558,plain,
% 16.80/12.02 ((~v39(constB192)) <=> v1(constB192)),
% 16.80/12.02 inference(unit_resolution,[status(thm)],[30557, 129])).
% 16.80/12.02 tff(30559,plain,
% 16.80/12.02 ((~((~v39(constB192)) <=> v1(constB192))) | (~v39(constB192)) | (~v1(constB192))),
% 16.80/12.02 inference(tautology,[status(thm)],[])).
% 16.80/12.02 tff(30560,plain,
% 16.80/12.02 ((~((~v39(constB192)) <=> v1(constB192))) | (~v39(constB192))),
% 16.80/12.02 inference(unit_resolution,[status(thm)],[30559, 23985])).
% 16.80/12.02 tff(30561,plain,
% 16.80/12.02 (~v39(constB192)),
% 16.80/12.02 inference(unit_resolution,[status(thm)],[30560, 30558])).
% 16.80/12.02 tff(30562,plain,
% 16.80/12.02 (((~v39(constB192)) | (~v9(constB192))) | v39(constB192)),
% 16.80/12.02 inference(tautology,[status(thm)],[])).
% 16.80/12.02 tff(30563,plain,
% 16.80/12.02 ((~v39(constB192)) | (~v9(constB192))),
% 16.80/12.02 inference(unit_resolution,[status(thm)],[30562, 30561])).
% 16.80/12.02 tff(30564,plain,
% 16.80/12.02 ((~(v197(constB192) <=> (~((~v39(constB192)) | (~v9(constB192)))))) | (~v197(constB192)) | (~((~v39(constB192)) | (~v9(constB192))))),
% 16.80/12.02 inference(tautology,[status(thm)],[])).
% 16.80/12.02 tff(30565,plain,
% 16.80/12.02 ((~(v197(constB192) <=> (~((~v39(constB192)) | (~v9(constB192)))))) | (~v197(constB192))),
% 16.80/12.02 inference(unit_resolution,[status(thm)],[30564, 30563])).
% 16.80/12.02 tff(30566,plain,
% 16.80/12.02 (~v197(constB192)),
% 16.80/12.02 inference(unit_resolution,[status(thm)],[30565, 30556])).
% 16.80/12.02 tff(30567,plain,
% 16.80/12.02 (((~v197(constB192)) | (~v201(constB192))) | v197(constB192)),
% 16.80/12.02 inference(tautology,[status(thm)],[])).
% 16.80/12.02 tff(30568,plain,
% 16.80/12.02 ((~v197(constB192)) | (~v201(constB192))),
% 16.80/12.02 inference(unit_resolution,[status(thm)],[30567, 30566])).
% 16.80/12.02 tff(30569,plain,
% 16.80/12.02 ((~(v200(constB192) <=> (~((~v197(constB192)) | (~v201(constB192)))))) | (~v200(constB192)) | (~((~v197(constB192)) | (~v201(constB192))))),
% 16.80/12.02 inference(tautology,[status(thm)],[])).
% 16.80/12.02 tff(30570,plain,
% 16.80/12.02 ((~(v200(constB192) <=> (~((~v197(constB192)) | (~v201(constB192)))))) | (~v200(constB192))),
% 16.80/12.02 inference(unit_resolution,[status(thm)],[30569, 30568])).
% 16.80/12.02 tff(30571,plain,
% 16.80/12.02 (~v200(constB192)),
% 16.80/12.02 inference(unit_resolution,[status(thm)],[30570, 30554])).
% 16.80/12.02 tff(30572,plain,
% 16.80/12.02 (((~v199(constB192)) | (~v200(constB192))) | v200(constB192)),
% 16.80/12.02 inference(tautology,[status(thm)],[])).
% 16.80/12.02 tff(30573,plain,
% 16.80/12.02 ((~v199(constB192)) | (~v200(constB192))),
% 16.80/12.02 inference(unit_resolution,[status(thm)],[30572, 30571])).
% 16.80/12.02 tff(30574,plain,
% 16.80/12.02 ((~(v198(constB192) <=> (~((~v199(constB192)) | (~v200(constB192)))))) | (~v198(constB192)) | (~((~v199(constB192)) | (~v200(constB192))))),
% 16.80/12.02 inference(tautology,[status(thm)],[])).
% 16.80/12.02 tff(30575,plain,
% 16.80/12.02 (~v198(constB192)),
% 16.80/12.02 inference(unit_resolution,[status(thm)],[30574, 30573, 30552])).
% 16.80/12.02 tff(30576,plain,
% 16.80/12.02 (((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB192) <=> (~((~v157(constB192)) | (~v195(constB192)))))) <=> ((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB192) <=> (~((~v157(constB192)) | (~v195(constB192))))))),
% 16.80/12.02 inference(rewrite,[status(thm)],[])).
% 16.80/12.02 tff(30577,plain,
% 16.80/12.02 ((v194(constB192) <=> (~((~v195(constB192)) | (~v157(constB192))))) <=> (v194(constB192) <=> (~((~v157(constB192)) | (~v195(constB192)))))),
% 16.80/12.02 inference(rewrite,[status(thm)],[])).
% 16.80/12.02 tff(30578,plain,
% 16.80/12.02 (((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB192) <=> (~((~v195(constB192)) | (~v157(constB192)))))) <=> ((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB192) <=> (~((~v157(constB192)) | (~v195(constB192))))))),
% 16.80/12.02 inference(monotonicity,[status(thm)],[30577])).
% 16.80/12.02 tff(30579,plain,
% 16.80/12.02 (((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB192) <=> (~((~v195(constB192)) | (~v157(constB192)))))) <=> ((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB192) <=> (~((~v157(constB192)) | (~v195(constB192))))))),
% 16.80/12.02 inference(transitivity,[status(thm)],[30578, 30576])).
% 16.80/12.02 tff(30580,plain,
% 16.80/12.02 ((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB192) <=> (~((~v195(constB192)) | (~v157(constB192)))))),
% 16.80/12.02 inference(quant_inst,[status(thm)],[])).
% 16.80/12.02 tff(30581,plain,
% 16.80/12.02 ((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB192) <=> (~((~v157(constB192)) | (~v195(constB192)))))),
% 16.80/12.02 inference(modus_ponens,[status(thm)],[30580, 30579])).
% 16.80/12.02 tff(30582,plain,
% 16.80/12.02 (v194(constB192) <=> (~((~v157(constB192)) | (~v195(constB192))))),
% 16.80/12.02 inference(unit_resolution,[status(thm)],[30581, 161])).
% 16.80/12.02 tff(30583,plain,
% 16.80/12.02 ((~![VarNext: $i] : (v157(VarNext) <=> v193(VarNext))) | (v157(constB192) <=> v193(constB192))),
% 16.80/12.02 inference(quant_inst,[status(thm)],[])).
% 16.80/12.02 tff(30584,plain,
% 16.80/12.02 (v157(constB192) <=> v193(constB192)),
% 16.80/12.02 inference(unit_resolution,[status(thm)],[30583, 13])).
% 16.80/12.02 tff(30585,plain,
% 16.80/12.02 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v193(VarNext) <=> v191(VarCurr)))) | ((~nextState(constB191, constB192)) | (v193(constB192) <=> v191(constB191)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v193(VarNext) <=> v191(VarCurr)))) | (~nextState(constB191, constB192)) | (v193(constB192) <=> v191(constB191)))),
% 16.80/12.02 inference(rewrite,[status(thm)],[])).
% 16.80/12.02 tff(30586,plain,
% 16.80/12.02 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v193(VarNext) <=> v191(VarCurr)))) | ((~nextState(constB191, constB192)) | (v193(constB192) <=> v191(constB191)))),
% 16.80/12.02 inference(quant_inst,[status(thm)],[])).
% 16.80/12.02 tff(30587,plain,
% 16.80/12.02 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v193(VarNext) <=> v191(VarCurr)))) | (~nextState(constB191, constB192)) | (v193(constB192) <=> v191(constB191))),
% 16.80/12.02 inference(modus_ponens,[status(thm)],[30586, 30585])).
% 16.80/12.02 tff(30588,plain,
% 16.80/12.02 (v193(constB192) <=> v191(constB191)),
% 16.80/12.02 inference(unit_resolution,[status(thm)],[30587, 23955, 70])).
% 16.80/12.02 tff(30589,plain,
% 16.80/12.02 ((~![VarCurr: $i] : (v191(VarCurr) <=> (v194(VarCurr) | v198(VarCurr)))) | (v191(constB191) <=> (v194(constB191) | v198(constB191)))),
% 16.80/12.02 inference(quant_inst,[status(thm)],[])).
% 16.80/12.02 tff(30590,plain,
% 16.80/12.02 (v191(constB191) <=> (v194(constB191) | v198(constB191))),
% 16.80/12.02 inference(unit_resolution,[status(thm)],[30589, 84])).
% 16.80/12.02 tff(30591,plain,
% 16.80/12.02 (((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB191) <=> (~((~v157(constB191)) | (~v195(constB191)))))) <=> ((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB191) <=> (~((~v157(constB191)) | (~v195(constB191))))))),
% 16.80/12.02 inference(rewrite,[status(thm)],[])).
% 16.80/12.02 tff(30592,plain,
% 16.80/12.02 ((v194(constB191) <=> (~((~v195(constB191)) | (~v157(constB191))))) <=> (v194(constB191) <=> (~((~v157(constB191)) | (~v195(constB191)))))),
% 16.80/12.02 inference(rewrite,[status(thm)],[])).
% 16.80/12.02 tff(30593,plain,
% 16.80/12.02 (((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB191) <=> (~((~v195(constB191)) | (~v157(constB191)))))) <=> ((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB191) <=> (~((~v157(constB191)) | (~v195(constB191))))))),
% 16.80/12.02 inference(monotonicity,[status(thm)],[30592])).
% 16.80/12.02 tff(30594,plain,
% 16.80/12.02 (((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB191) <=> (~((~v195(constB191)) | (~v157(constB191)))))) <=> ((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB191) <=> (~((~v157(constB191)) | (~v195(constB191))))))),
% 16.80/12.02 inference(transitivity,[status(thm)],[30593, 30591])).
% 16.80/12.02 tff(30595,plain,
% 16.80/12.02 ((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB191) <=> (~((~v195(constB191)) | (~v157(constB191)))))),
% 16.80/12.02 inference(quant_inst,[status(thm)],[])).
% 16.80/12.02 tff(30596,plain,
% 16.80/12.02 ((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB191) <=> (~((~v157(constB191)) | (~v195(constB191)))))),
% 16.80/12.02 inference(modus_ponens,[status(thm)],[30595, 30594])).
% 16.80/12.02 tff(30597,plain,
% 16.80/12.02 (v194(constB191) <=> (~((~v157(constB191)) | (~v195(constB191))))),
% 16.80/12.02 inference(unit_resolution,[status(thm)],[30596, 161])).
% 16.80/12.02 tff(30598,plain,
% 16.80/12.02 ((~![VarCurr: $i] : ((~v195(VarCurr)) <=> v196(VarCurr))) | ((~v195(constB191)) <=> v196(constB191))),
% 16.80/12.02 inference(quant_inst,[status(thm)],[])).
% 16.80/12.02 tff(30599,plain,
% 16.80/12.02 ((~v195(constB191)) <=> v196(constB191)),
% 16.80/12.02 inference(unit_resolution,[status(thm)],[30598, 193])).
% 16.80/12.02 tff(30600,plain,
% 16.80/12.02 ((~![VarCurr: $i] : (v196(VarCurr) <=> (v197(VarCurr) | v26(VarCurr)))) | (v196(constB191) <=> (v197(constB191) | v26(constB191)))),
% 16.80/12.02 inference(quant_inst,[status(thm)],[])).
% 16.80/12.02 tff(30601,plain,
% 16.80/12.02 (v196(constB191) <=> (v197(constB191) | v26(constB191))),
% 16.80/12.02 inference(unit_resolution,[status(thm)],[30600, 202])).
% 16.80/12.02 tff(30602,plain,
% 16.80/12.02 ((~![VarCurr: $i] : (v197(VarCurr) <=> (~((~v39(VarCurr)) | (~v9(VarCurr)))))) | (v197(constB191) <=> (~((~v39(constB191)) | (~v9(constB191)))))),
% 16.80/12.02 inference(quant_inst,[status(thm)],[])).
% 16.80/12.02 tff(30603,plain,
% 16.80/12.02 (v197(constB191) <=> (~((~v39(constB191)) | (~v9(constB191))))),
% 16.80/12.02 inference(unit_resolution,[status(thm)],[30602, 120])).
% 16.80/12.02 tff(30604,plain,
% 16.80/12.02 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | ((~nextState(constB191, constB192)) | (v13(constB192) <=> v9(constB191)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | (~nextState(constB191, constB192)) | (v13(constB192) <=> v9(constB191)))),
% 16.80/12.02 inference(rewrite,[status(thm)],[])).
% 16.80/12.02 tff(30605,plain,
% 16.80/12.02 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | ((~nextState(constB191, constB192)) | (v13(constB192) <=> v9(constB191)))),
% 16.80/12.02 inference(quant_inst,[status(thm)],[])).
% 16.80/12.02 tff(30606,plain,
% 16.80/12.02 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | (~nextState(constB191, constB192)) | (v13(constB192) <=> v9(constB191))),
% 16.80/12.02 inference(modus_ponens,[status(thm)],[30605, 30604])).
% 16.80/12.02 tff(30607,plain,
% 16.80/12.02 (v13(constB192) <=> v9(constB191)),
% 16.80/12.02 inference(unit_resolution,[status(thm)],[30606, 23955, 216])).
% 16.80/12.02 tff(30608,plain,
% 16.80/12.02 ((~![VarNext: $i] : (v6(VarNext) <=> v13(VarNext))) | (v6(constB192) <=> v13(constB192))),
% 16.80/12.02 inference(quant_inst,[status(thm)],[])).
% 16.80/12.02 tff(30609,plain,
% 16.80/12.02 (v6(constB192) <=> v13(constB192)),
% 16.80/12.02 inference(unit_resolution,[status(thm)],[30608, 230])).
% 16.80/12.02 tff(30610,plain,
% 16.80/12.02 ((~![VarCurr: $i] : ((~v21(VarCurr)) <=> v6(VarCurr))) | ((~v21(constB192)) <=> v6(constB192))),
% 16.80/12.02 inference(quant_inst,[status(thm)],[])).
% 16.80/12.02 tff(30611,plain,
% 16.80/12.02 ((~v21(constB192)) <=> v6(constB192)),
% 16.80/12.02 inference(unit_resolution,[status(thm)],[30610, 239])).
% 16.80/12.02 tff(30612,plain,
% 16.80/12.02 ((~![VarCurr: $i] : (v19(VarCurr) <=> (v20(VarCurr) | v21(VarCurr)))) | (v19(constB192) <=> (v20(constB192) | v21(constB192)))),
% 16.80/12.02 inference(quant_inst,[status(thm)],[])).
% 16.80/12.02 tff(30613,plain,
% 16.80/12.02 (v19(constB192) <=> (v20(constB192) | v21(constB192))),
% 16.80/12.02 inference(unit_resolution,[status(thm)],[30612, 248])).
% 16.80/12.02 tff(30614,plain,
% 16.80/12.02 ((~![VarCurr: $i] : (v18(VarCurr) <=> (~((~v19(VarCurr)) | (~v22(VarCurr)))))) | (v18(constB192) <=> (~((~v19(constB192)) | (~v22(constB192)))))),
% 16.80/12.02 inference(quant_inst,[status(thm)],[])).
% 16.80/12.02 tff(30615,plain,
% 16.80/12.02 (v18(constB192) <=> (~((~v19(constB192)) | (~v22(constB192))))),
% 16.80/12.02 inference(unit_resolution,[status(thm)],[30614, 260])).
% 16.80/12.02 tff(30616,plain,
% 16.80/12.02 ((~![VarCurr: $i] : ((~v4(VarCurr)) <=> v18(VarCurr))) | ((~v4(constB192)) <=> v18(constB192))),
% 16.80/12.02 inference(quant_inst,[status(thm)],[])).
% 16.80/12.02 tff(30617,plain,
% 16.80/12.02 ((~v4(constB192)) <=> v18(constB192)),
% 16.80/12.02 inference(unit_resolution,[status(thm)],[30616, 269])).
% 16.80/12.02 tff(30618,plain,
% 16.80/12.02 ((~![VarCurr: $i] : v4(VarCurr)) | v4(constB192)),
% 16.80/12.02 inference(quant_inst,[status(thm)],[])).
% 16.80/12.02 tff(30619,plain,
% 16.80/12.02 (v4(constB192)),
% 16.80/12.02 inference(unit_resolution,[status(thm)],[30618, 278])).
% 16.80/12.02 tff(30620,plain,
% 16.80/12.02 ((~((~v4(constB192)) <=> v18(constB192))) | (~v4(constB192)) | (~v18(constB192))),
% 16.80/12.02 inference(tautology,[status(thm)],[])).
% 16.80/12.02 tff(30621,plain,
% 16.80/12.02 (~v18(constB192)),
% 16.80/12.02 inference(unit_resolution,[status(thm)],[30620, 30619, 30617])).
% 16.80/12.02 tff(30622,plain,
% 16.80/12.02 ((~(v18(constB192) <=> (~((~v19(constB192)) | (~v22(constB192)))))) | v18(constB192) | ((~v19(constB192)) | (~v22(constB192)))),
% 16.80/12.02 inference(tautology,[status(thm)],[])).
% 16.80/12.02 tff(30623,plain,
% 16.80/12.02 ((~v19(constB192)) | (~v22(constB192))),
% 16.80/12.02 inference(unit_resolution,[status(thm)],[30622, 30621, 30615])).
% 16.80/12.02 tff(30624,plain,
% 16.80/12.02 ((~![VarCurr: $i] : (v22(VarCurr) <=> (v1(VarCurr) | v6(VarCurr)))) | (v22(constB192) <=> (v1(constB192) | v6(constB192)))),
% 16.80/12.02 inference(quant_inst,[status(thm)],[])).
% 16.80/12.02 tff(30625,plain,
% 16.80/12.02 (v22(constB192) <=> (v1(constB192) | v6(constB192))),
% 16.80/12.02 inference(unit_resolution,[status(thm)],[30624, 291])).
% 16.80/12.02 tff(30626,plain,
% 16.80/12.02 ((v1(constB192) | v6(constB192)) | (~v1(constB192))),
% 16.80/12.02 inference(tautology,[status(thm)],[])).
% 16.80/12.02 tff(30627,plain,
% 16.80/12.02 (v1(constB192) | v6(constB192)),
% 16.80/12.02 inference(unit_resolution,[status(thm)],[30626, 23985])).
% 16.80/12.02 tff(30628,plain,
% 16.80/12.02 ((~(v22(constB192) <=> (v1(constB192) | v6(constB192)))) | v22(constB192) | (~(v1(constB192) | v6(constB192)))),
% 16.80/12.02 inference(tautology,[status(thm)],[])).
% 16.80/12.02 tff(30629,plain,
% 16.80/12.02 ((~(v22(constB192) <=> (v1(constB192) | v6(constB192)))) | v22(constB192)),
% 16.80/12.02 inference(unit_resolution,[status(thm)],[30628, 30627])).
% 16.80/12.02 tff(30630,plain,
% 16.80/12.02 (v22(constB192)),
% 16.80/12.02 inference(unit_resolution,[status(thm)],[30629, 30625])).
% 16.80/12.02 tff(30631,plain,
% 16.80/12.02 ((~((~v19(constB192)) | (~v22(constB192)))) | (~v19(constB192)) | (~v22(constB192))),
% 16.80/12.02 inference(tautology,[status(thm)],[])).
% 16.80/12.02 tff(30632,plain,
% 16.80/12.02 ((~((~v19(constB192)) | (~v22(constB192)))) | (~v19(constB192))),
% 16.80/12.02 inference(unit_resolution,[status(thm)],[30631, 30630])).
% 16.80/12.02 tff(30633,plain,
% 16.80/12.02 (~v19(constB192)),
% 16.80/12.02 inference(unit_resolution,[status(thm)],[30632, 30623])).
% 16.80/12.02 tff(30634,plain,
% 16.80/12.02 ((~(v19(constB192) <=> (v20(constB192) | v21(constB192)))) | v19(constB192) | (~(v20(constB192) | v21(constB192)))),
% 16.80/12.02 inference(tautology,[status(thm)],[])).
% 16.80/12.02 tff(30635,plain,
% 16.80/12.02 (~(v20(constB192) | v21(constB192))),
% 16.80/12.02 inference(unit_resolution,[status(thm)],[30634, 30633, 30613])).
% 16.80/12.02 tff(30636,plain,
% 16.80/12.02 ((v20(constB192) | v21(constB192)) | (~v21(constB192))),
% 16.80/12.02 inference(tautology,[status(thm)],[])).
% 16.80/12.02 tff(30637,plain,
% 16.80/12.02 (~v21(constB192)),
% 16.80/12.02 inference(unit_resolution,[status(thm)],[30636, 30635])).
% 16.80/12.02 tff(30638,plain,
% 16.80/12.02 ((~((~v21(constB192)) <=> v6(constB192))) | v21(constB192) | v6(constB192)),
% 16.80/12.02 inference(tautology,[status(thm)],[])).
% 16.80/12.02 tff(30639,plain,
% 16.80/12.02 (v6(constB192)),
% 16.80/12.02 inference(unit_resolution,[status(thm)],[30638, 30637, 30611])).
% 16.80/12.02 tff(30640,plain,
% 16.80/12.02 ((~(v6(constB192) <=> v13(constB192))) | (~v6(constB192)) | v13(constB192)),
% 16.80/12.02 inference(tautology,[status(thm)],[])).
% 16.80/12.02 tff(30641,plain,
% 16.80/12.02 (v13(constB192)),
% 16.80/12.02 inference(unit_resolution,[status(thm)],[30640, 30639, 30609])).
% 16.80/12.02 tff(30642,plain,
% 16.80/12.02 ((~(v13(constB192) <=> v9(constB191))) | (~v13(constB192)) | v9(constB191)),
% 16.80/12.02 inference(tautology,[status(thm)],[])).
% 16.80/12.02 tff(30643,plain,
% 16.80/12.02 (v9(constB191)),
% 16.80/12.02 inference(unit_resolution,[status(thm)],[30642, 30641, 30607])).
% 16.80/12.02 tff(30644,plain,
% 16.80/12.02 ((~![VarCurr: $i] : ((~v39(VarCurr)) <=> v1(VarCurr))) | ((~v39(constB191)) <=> v1(constB191))),
% 16.80/12.02 inference(quant_inst,[status(thm)],[])).
% 16.80/12.02 tff(30645,plain,
% 16.80/12.02 ((~v39(constB191)) <=> v1(constB191)),
% 16.80/12.02 inference(unit_resolution,[status(thm)],[30644, 129])).
% 16.80/12.02 tff(30646,plain,
% 16.80/12.02 ((~((~v39(constB191)) <=> v1(constB191))) | v39(constB191) | v1(constB191)),
% 16.80/12.02 inference(tautology,[status(thm)],[])).
% 16.80/12.02 tff(30647,plain,
% 16.80/12.02 ((~((~v39(constB191)) <=> v1(constB191))) | v39(constB191)),
% 16.80/12.02 inference(unit_resolution,[status(thm)],[30646, 23977])).
% 16.80/12.02 tff(30648,plain,
% 16.80/12.02 (v39(constB191)),
% 16.80/12.02 inference(unit_resolution,[status(thm)],[30647, 30645])).
% 16.80/12.02 tff(30649,plain,
% 16.80/12.02 ((~((~v39(constB191)) | (~v9(constB191)))) | (~v39(constB191)) | (~v9(constB191))),
% 16.80/12.02 inference(tautology,[status(thm)],[])).
% 16.80/12.02 tff(30650,plain,
% 16.80/12.02 ((~((~v39(constB191)) | (~v9(constB191)))) | (~v9(constB191))),
% 16.80/12.02 inference(unit_resolution,[status(thm)],[30649, 30648])).
% 16.80/12.02 tff(30651,plain,
% 16.80/12.02 (~((~v39(constB191)) | (~v9(constB191)))),
% 16.80/12.02 inference(unit_resolution,[status(thm)],[30650, 30643])).
% 16.80/12.02 tff(30652,plain,
% 16.80/12.02 ((~(v197(constB191) <=> (~((~v39(constB191)) | (~v9(constB191)))))) | v197(constB191) | ((~v39(constB191)) | (~v9(constB191)))),
% 16.80/12.02 inference(tautology,[status(thm)],[])).
% 16.80/12.02 tff(30653,plain,
% 16.80/12.02 (v197(constB191)),
% 16.80/12.02 inference(unit_resolution,[status(thm)],[30652, 30651, 30603])).
% 16.80/12.02 tff(30654,plain,
% 16.80/12.02 ((v197(constB191) | v26(constB191)) | (~v197(constB191))),
% 16.80/12.02 inference(tautology,[status(thm)],[])).
% 16.80/12.02 tff(30655,plain,
% 16.80/12.02 (v197(constB191) | v26(constB191)),
% 16.80/12.02 inference(unit_resolution,[status(thm)],[30654, 30653])).
% 16.80/12.02 tff(30656,plain,
% 16.80/12.02 ((~(v196(constB191) <=> (v197(constB191) | v26(constB191)))) | v196(constB191) | (~(v197(constB191) | v26(constB191)))),
% 16.80/12.02 inference(tautology,[status(thm)],[])).
% 16.80/12.02 tff(30657,plain,
% 16.80/12.02 (v196(constB191)),
% 16.80/12.02 inference(unit_resolution,[status(thm)],[30656, 30655, 30601])).
% 16.80/12.02 tff(30658,plain,
% 16.80/12.02 ((~((~v195(constB191)) <=> v196(constB191))) | (~v195(constB191)) | (~v196(constB191))),
% 16.80/12.02 inference(tautology,[status(thm)],[])).
% 16.80/12.02 tff(30659,plain,
% 16.80/12.02 (~v195(constB191)),
% 16.80/12.02 inference(unit_resolution,[status(thm)],[30658, 30657, 30599])).
% 16.80/12.02 tff(30660,plain,
% 16.80/12.02 (((~v157(constB191)) | (~v195(constB191))) | v195(constB191)),
% 16.80/12.02 inference(tautology,[status(thm)],[])).
% 16.80/12.02 tff(30661,plain,
% 16.80/12.02 ((~v157(constB191)) | (~v195(constB191))),
% 16.80/12.02 inference(unit_resolution,[status(thm)],[30660, 30659])).
% 16.80/12.02 tff(30662,plain,
% 16.80/12.02 ((~(v194(constB191) <=> (~((~v157(constB191)) | (~v195(constB191)))))) | (~v194(constB191)) | (~((~v157(constB191)) | (~v195(constB191))))),
% 16.80/12.02 inference(tautology,[status(thm)],[])).
% 16.80/12.02 tff(30663,plain,
% 16.80/12.02 (~v194(constB191)),
% 16.80/12.02 inference(unit_resolution,[status(thm)],[30662, 30661, 30597])).
% 16.80/12.02 tff(30664,plain,
% 16.80/12.02 ((~![VarCurr: $i] : (v198(VarCurr) <=> (~((~v199(VarCurr)) | (~v200(VarCurr)))))) | (v198(constB191) <=> (~((~v199(constB191)) | (~v200(constB191)))))),
% 16.80/12.02 inference(quant_inst,[status(thm)],[])).
% 16.80/12.02 tff(30665,plain,
% 16.80/12.02 (v198(constB191) <=> (~((~v199(constB191)) | (~v200(constB191))))),
% 16.80/12.02 inference(unit_resolution,[status(thm)],[30664, 96])).
% 16.80/12.02 tff(30666,plain,
% 16.80/12.02 ((~![VarCurr: $i] : (v200(VarCurr) <=> (~((~v197(VarCurr)) | (~v201(VarCurr)))))) | (v200(constB191) <=> (~((~v197(constB191)) | (~v201(constB191)))))),
% 16.80/12.02 inference(quant_inst,[status(thm)],[])).
% 16.80/12.02 tff(30667,plain,
% 16.80/12.02 (v200(constB191) <=> (~((~v197(constB191)) | (~v201(constB191))))),
% 16.80/12.02 inference(unit_resolution,[status(thm)],[30666, 108])).
% 16.80/12.02 tff(30668,plain,
% 16.80/12.02 ((~![VarCurr: $i] : (v201(VarCurr) <=> (~((~v159(VarCurr)) | (~v161(VarCurr)))))) | (v201(constB191) <=> (~((~v159(constB191)) | (~v161(constB191)))))),
% 16.80/12.02 inference(quant_inst,[status(thm)],[])).
% 16.80/12.02 tff(30669,plain,
% 16.80/12.02 (v201(constB191) <=> (~((~v159(constB191)) | (~v161(constB191))))),
% 16.80/12.02 inference(unit_resolution,[status(thm)],[30668, 348])).
% 16.80/12.02 tff(30670,plain,
% 16.80/12.02 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v179(VarNext) <=> v180(VarNext)))) | ((~nextState(constB190, constB191)) | (v179(constB191) <=> v180(constB191)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v179(VarNext) <=> v180(VarNext)))) | (~nextState(constB190, constB191)) | (v179(constB191) <=> v180(constB191)))),
% 16.80/12.02 inference(rewrite,[status(thm)],[])).
% 16.80/12.02 tff(30671,plain,
% 16.80/12.02 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v179(VarNext) <=> v180(VarNext)))) | ((~nextState(constB190, constB191)) | (v179(constB191) <=> v180(constB191)))),
% 16.80/12.03 inference(quant_inst,[status(thm)],[])).
% 16.80/12.03 tff(30672,plain,
% 16.80/12.03 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v179(VarNext) <=> v180(VarNext)))) | (~nextState(constB190, constB191)) | (v179(constB191) <=> v180(constB191))),
% 16.80/12.03 inference(modus_ponens,[status(thm)],[30671, 30670])).
% 16.80/12.03 tff(30673,plain,
% 16.80/12.03 (v179(constB191) <=> v180(constB191)),
% 16.80/12.03 inference(unit_resolution,[status(thm)],[30672, 24016, 13536])).
% 16.80/12.03 tff(30674,plain,
% 16.80/12.03 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> (~((~v181(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB190, constB191)) | (v180(constB191) <=> (~((~v1(constB191)) | (~v181(constB191))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> (~((~v181(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB190, constB191)) | (v180(constB191) <=> (~((~v1(constB191)) | (~v181(constB191))))))),
% 16.80/12.03 inference(rewrite,[status(thm)],[])).
% 16.80/12.03 tff(30675,plain,
% 16.80/12.03 (((~nextState(constB190, constB191)) | (v180(constB191) <=> (~((~v181(constB191)) | (~v1(constB191)))))) <=> ((~nextState(constB190, constB191)) | (v180(constB191) <=> (~((~v1(constB191)) | (~v181(constB191))))))),
% 16.80/12.03 inference(rewrite,[status(thm)],[])).
% 16.80/12.03 tff(30676,plain,
% 16.80/12.03 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> (~((~v181(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB190, constB191)) | (v180(constB191) <=> (~((~v181(constB191)) | (~v1(constB191))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> (~((~v181(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB190, constB191)) | (v180(constB191) <=> (~((~v1(constB191)) | (~v181(constB191)))))))),
% 16.80/12.03 inference(monotonicity,[status(thm)],[30675])).
% 16.80/12.03 tff(30677,plain,
% 16.80/12.03 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> (~((~v181(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB190, constB191)) | (v180(constB191) <=> (~((~v181(constB191)) | (~v1(constB191))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> (~((~v181(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB190, constB191)) | (v180(constB191) <=> (~((~v1(constB191)) | (~v181(constB191))))))),
% 16.80/12.03 inference(transitivity,[status(thm)],[30676, 30674])).
% 16.80/12.03 tff(30678,plain,
% 16.80/12.03 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> (~((~v181(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB190, constB191)) | (v180(constB191) <=> (~((~v181(constB191)) | (~v1(constB191))))))),
% 16.80/12.03 inference(quant_inst,[status(thm)],[])).
% 16.80/12.03 tff(30679,plain,
% 16.80/12.03 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> (~((~v181(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB190, constB191)) | (v180(constB191) <=> (~((~v1(constB191)) | (~v181(constB191)))))),
% 16.80/12.03 inference(modus_ponens,[status(thm)],[30678, 30677])).
% 16.80/12.03 tff(30680,plain,
% 16.80/12.03 (v180(constB191) <=> (~((~v1(constB191)) | (~v181(constB191))))),
% 16.80/12.03 inference(unit_resolution,[status(thm)],[30679, 24016, 13556])).
% 16.80/12.03 tff(30681,plain,
% 16.80/12.03 (((~v1(constB191)) | (~v181(constB191))) | v1(constB191)),
% 16.80/12.03 inference(tautology,[status(thm)],[])).
% 16.80/12.03 tff(30682,plain,
% 16.80/12.03 ((~v1(constB191)) | (~v181(constB191))),
% 16.80/12.03 inference(unit_resolution,[status(thm)],[30681, 23977])).
% 16.80/12.03 tff(30683,plain,
% 16.80/12.03 ((~(v180(constB191) <=> (~((~v1(constB191)) | (~v181(constB191)))))) | (~v180(constB191)) | (~((~v1(constB191)) | (~v181(constB191))))),
% 16.80/12.03 inference(tautology,[status(thm)],[])).
% 16.80/12.03 tff(30684,plain,
% 16.80/12.03 ((~(v180(constB191) <=> (~((~v1(constB191)) | (~v181(constB191)))))) | (~v180(constB191))),
% 16.80/12.03 inference(unit_resolution,[status(thm)],[30683, 30682])).
% 16.80/12.03 tff(30685,plain,
% 16.80/12.03 (~v180(constB191)),
% 16.80/12.03 inference(unit_resolution,[status(thm)],[30684, 30680])).
% 16.80/12.03 tff(30686,plain,
% 16.80/12.03 ((~(v179(constB191) <=> v180(constB191))) | (~v179(constB191)) | v180(constB191)),
% 16.80/12.03 inference(tautology,[status(thm)],[])).
% 16.80/12.03 tff(30687,plain,
% 16.80/12.03 (~v179(constB191)),
% 16.80/12.03 inference(unit_resolution,[status(thm)],[30686, 30685, 30673])).
% 16.80/12.03 tff(30688,plain,
% 16.80/12.03 (((~![VarCurr: $i, VarNext: $i] : ((v159(VarNext) <=> v159(VarCurr)) | v179(VarNext) | (~nextState(VarCurr, VarNext)))) | ((~nextState(constB190, constB191)) | v179(constB191) | (v159(constB191) <=> v159(constB190)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((v159(VarNext) <=> v159(VarCurr)) | v179(VarNext) | (~nextState(VarCurr, VarNext)))) | (~nextState(constB190, constB191)) | v179(constB191) | (v159(constB191) <=> v159(constB190)))),
% 16.80/12.03 inference(rewrite,[status(thm)],[])).
% 16.80/12.03 tff(30689,plain,
% 16.80/12.03 (((v159(constB191) <=> v159(constB190)) | v179(constB191) | (~nextState(constB190, constB191))) <=> ((~nextState(constB190, constB191)) | v179(constB191) | (v159(constB191) <=> v159(constB190)))),
% 16.80/12.03 inference(rewrite,[status(thm)],[])).
% 16.80/12.03 tff(30690,plain,
% 16.80/12.03 (((~![VarCurr: $i, VarNext: $i] : ((v159(VarNext) <=> v159(VarCurr)) | v179(VarNext) | (~nextState(VarCurr, VarNext)))) | ((v159(constB191) <=> v159(constB190)) | v179(constB191) | (~nextState(constB190, constB191)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((v159(VarNext) <=> v159(VarCurr)) | v179(VarNext) | (~nextState(VarCurr, VarNext)))) | ((~nextState(constB190, constB191)) | v179(constB191) | (v159(constB191) <=> v159(constB190))))),
% 16.80/12.03 inference(monotonicity,[status(thm)],[30689])).
% 16.80/12.03 tff(30691,plain,
% 16.80/12.03 (((~![VarCurr: $i, VarNext: $i] : ((v159(VarNext) <=> v159(VarCurr)) | v179(VarNext) | (~nextState(VarCurr, VarNext)))) | ((v159(constB191) <=> v159(constB190)) | v179(constB191) | (~nextState(constB190, constB191)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((v159(VarNext) <=> v159(VarCurr)) | v179(VarNext) | (~nextState(VarCurr, VarNext)))) | (~nextState(constB190, constB191)) | v179(constB191) | (v159(constB191) <=> v159(constB190)))),
% 16.80/12.03 inference(transitivity,[status(thm)],[30690, 30688])).
% 16.80/12.03 tff(30692,plain,
% 16.80/12.03 ((~![VarCurr: $i, VarNext: $i] : ((v159(VarNext) <=> v159(VarCurr)) | v179(VarNext) | (~nextState(VarCurr, VarNext)))) | ((v159(constB191) <=> v159(constB190)) | v179(constB191) | (~nextState(constB190, constB191)))),
% 16.80/12.03 inference(quant_inst,[status(thm)],[])).
% 16.80/12.03 tff(30693,plain,
% 16.80/12.03 ((~![VarCurr: $i, VarNext: $i] : ((v159(VarNext) <=> v159(VarCurr)) | v179(VarNext) | (~nextState(VarCurr, VarNext)))) | (~nextState(constB190, constB191)) | v179(constB191) | (v159(constB191) <=> v159(constB190))),
% 16.80/12.03 inference(modus_ponens,[status(thm)],[30692, 30691])).
% 16.80/12.03 tff(30694,plain,
% 16.80/12.03 (v179(constB191) | (v159(constB191) <=> v159(constB190))),
% 16.80/12.03 inference(unit_resolution,[status(thm)],[30693, 24016, 13580])).
% 16.80/12.03 tff(30695,plain,
% 16.80/12.03 (v159(constB191) <=> v159(constB190)),
% 16.80/12.03 inference(unit_resolution,[status(thm)],[30694, 30687])).
% 16.80/12.03 tff(30696,plain,
% 16.80/12.03 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v179(VarNext) <=> v180(VarNext)))) | ((~nextState(constB189, constB190)) | (v179(constB190) <=> v180(constB190)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v179(VarNext) <=> v180(VarNext)))) | (~nextState(constB189, constB190)) | (v179(constB190) <=> v180(constB190)))),
% 16.80/12.03 inference(rewrite,[status(thm)],[])).
% 16.80/12.03 tff(30697,plain,
% 16.80/12.03 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v179(VarNext) <=> v180(VarNext)))) | ((~nextState(constB189, constB190)) | (v179(constB190) <=> v180(constB190)))),
% 16.80/12.03 inference(quant_inst,[status(thm)],[])).
% 16.80/12.03 tff(30698,plain,
% 16.80/12.03 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v179(VarNext) <=> v180(VarNext)))) | (~nextState(constB189, constB190)) | (v179(constB190) <=> v180(constB190))),
% 16.80/12.03 inference(modus_ponens,[status(thm)],[30697, 30696])).
% 16.80/12.03 tff(30699,plain,
% 16.80/12.03 (v179(constB190) <=> v180(constB190)),
% 16.80/12.03 inference(unit_resolution,[status(thm)],[30698, 24048, 13536])).
% 16.80/12.03 tff(30700,plain,
% 16.80/12.03 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> (~((~v181(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB189, constB190)) | (v180(constB190) <=> (~((~v1(constB190)) | (~v181(constB190))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> (~((~v181(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB189, constB190)) | (v180(constB190) <=> (~((~v1(constB190)) | (~v181(constB190))))))),
% 16.80/12.03 inference(rewrite,[status(thm)],[])).
% 16.80/12.03 tff(30701,plain,
% 16.80/12.03 (((~nextState(constB189, constB190)) | (v180(constB190) <=> (~((~v181(constB190)) | (~v1(constB190)))))) <=> ((~nextState(constB189, constB190)) | (v180(constB190) <=> (~((~v1(constB190)) | (~v181(constB190))))))),
% 16.80/12.03 inference(rewrite,[status(thm)],[])).
% 16.80/12.03 tff(30702,plain,
% 16.80/12.03 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> (~((~v181(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB189, constB190)) | (v180(constB190) <=> (~((~v181(constB190)) | (~v1(constB190))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> (~((~v181(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB189, constB190)) | (v180(constB190) <=> (~((~v1(constB190)) | (~v181(constB190)))))))),
% 16.80/12.03 inference(monotonicity,[status(thm)],[30701])).
% 16.80/12.03 tff(30703,plain,
% 16.80/12.03 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> (~((~v181(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB189, constB190)) | (v180(constB190) <=> (~((~v181(constB190)) | (~v1(constB190))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> (~((~v181(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB189, constB190)) | (v180(constB190) <=> (~((~v1(constB190)) | (~v181(constB190))))))),
% 16.80/12.03 inference(transitivity,[status(thm)],[30702, 30700])).
% 16.80/12.03 tff(30704,plain,
% 16.80/12.03 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> (~((~v181(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB189, constB190)) | (v180(constB190) <=> (~((~v181(constB190)) | (~v1(constB190))))))),
% 16.80/12.03 inference(quant_inst,[status(thm)],[])).
% 16.80/12.03 tff(30705,plain,
% 16.80/12.03 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> (~((~v181(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB189, constB190)) | (v180(constB190) <=> (~((~v1(constB190)) | (~v181(constB190)))))),
% 16.80/12.03 inference(modus_ponens,[status(thm)],[30704, 30703])).
% 16.80/12.03 tff(30706,plain,
% 16.80/12.03 (v180(constB190) <=> (~((~v1(constB190)) | (~v181(constB190))))),
% 16.80/12.03 inference(unit_resolution,[status(thm)],[30705, 24048, 13556])).
% 16.80/12.03 tff(30707,plain,
% 16.80/12.03 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v181(VarNext)) <=> v104(VarNext)))) | ((~nextState(constB189, constB190)) | ((~v181(constB190)) <=> v104(constB190)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v181(VarNext)) <=> v104(VarNext)))) | (~nextState(constB189, constB190)) | ((~v181(constB190)) <=> v104(constB190)))),
% 16.80/12.03 inference(rewrite,[status(thm)],[])).
% 16.80/12.03 tff(30708,plain,
% 16.80/12.03 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v181(VarNext)) <=> v104(VarNext)))) | ((~nextState(constB189, constB190)) | ((~v181(constB190)) <=> v104(constB190)))),
% 16.80/12.03 inference(quant_inst,[status(thm)],[])).
% 16.80/12.03 tff(30709,plain,
% 16.80/12.03 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v181(VarNext)) <=> v104(VarNext)))) | (~nextState(constB189, constB190)) | ((~v181(constB190)) <=> v104(constB190))),
% 16.80/12.03 inference(modus_ponens,[status(thm)],[30708, 30707])).
% 16.80/12.03 tff(30710,plain,
% 16.80/12.03 ((~v181(constB190)) <=> v104(constB190)),
% 16.80/12.03 inference(unit_resolution,[status(thm)],[30709, 24048, 13612])).
% 16.80/12.03 tff(30711,plain,
% 16.80/12.03 ((~((~v181(constB190)) <=> v104(constB190))) | v181(constB190) | v104(constB190)),
% 16.80/12.03 inference(tautology,[status(thm)],[])).
% 16.80/12.03 tff(30712,plain,
% 16.80/12.03 (v181(constB190)),
% 16.80/12.03 inference(unit_resolution,[status(thm)],[30711, 24073, 30710])).
% 16.80/12.03 tff(30713,plain,
% 16.80/12.03 ((~((~v1(constB190)) | (~v181(constB190)))) | (~v1(constB190)) | (~v181(constB190))),
% 16.80/12.03 inference(tautology,[status(thm)],[])).
% 16.80/12.03 tff(30714,plain,
% 16.80/12.03 ((~((~v1(constB190)) | (~v181(constB190)))) | (~v181(constB190))),
% 16.80/12.03 inference(unit_resolution,[status(thm)],[30713, 24078])).
% 16.80/12.03 tff(30715,plain,
% 16.80/12.03 (~((~v1(constB190)) | (~v181(constB190)))),
% 16.80/12.03 inference(unit_resolution,[status(thm)],[30714, 30712])).
% 16.80/12.03 tff(30716,plain,
% 16.80/12.03 ((~(v180(constB190) <=> (~((~v1(constB190)) | (~v181(constB190)))))) | v180(constB190) | ((~v1(constB190)) | (~v181(constB190)))),
% 16.80/12.03 inference(tautology,[status(thm)],[])).
% 16.80/12.03 tff(30717,plain,
% 16.80/12.03 (v180(constB190)),
% 16.80/12.03 inference(unit_resolution,[status(thm)],[30716, 30715, 30706])).
% 16.80/12.03 tff(30718,plain,
% 16.80/12.03 ((~(v179(constB190) <=> v180(constB190))) | v179(constB190) | (~v180(constB190))),
% 16.80/12.03 inference(tautology,[status(thm)],[])).
% 16.80/12.03 tff(30719,plain,
% 16.80/12.03 (v179(constB190)),
% 16.80/12.03 inference(unit_resolution,[status(thm)],[30718, 30717, 30699])).
% 16.80/12.03 tff(30720,plain,
% 16.80/12.03 (((~![VarNext: $i] : ((~v179(VarNext)) | (v159(VarNext) <=> v186(VarNext)))) | ((~v179(constB190)) | (v159(constB190) <=> v186(constB190)))) <=> ((~![VarNext: $i] : ((~v179(VarNext)) | (v159(VarNext) <=> v186(VarNext)))) | (~v179(constB190)) | (v159(constB190) <=> v186(constB190)))),
% 16.80/12.03 inference(rewrite,[status(thm)],[])).
% 16.80/12.03 tff(30721,plain,
% 16.80/12.03 ((~![VarNext: $i] : ((~v179(VarNext)) | (v159(VarNext) <=> v186(VarNext)))) | ((~v179(constB190)) | (v159(constB190) <=> v186(constB190)))),
% 16.80/12.03 inference(quant_inst,[status(thm)],[])).
% 16.80/12.03 tff(30722,plain,
% 16.80/12.03 ((~![VarNext: $i] : ((~v179(VarNext)) | (v159(VarNext) <=> v186(VarNext)))) | (~v179(constB190)) | (v159(constB190) <=> v186(constB190))),
% 16.80/12.03 inference(modus_ponens,[status(thm)],[30721, 30720])).
% 16.80/12.03 tff(30723,plain,
% 16.80/12.03 (v159(constB190) <=> v186(constB190)),
% 16.80/12.03 inference(unit_resolution,[status(thm)],[30722, 13648, 30719])).
% 16.80/12.03 tff(30724,plain,
% 16.80/12.03 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v186(VarNext) <=> v161(VarCurr)))) | ((~nextState(constB189, constB190)) | (v186(constB190) <=> v161(constB189)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v186(VarNext) <=> v161(VarCurr)))) | (~nextState(constB189, constB190)) | (v186(constB190) <=> v161(constB189)))),
% 16.80/12.03 inference(rewrite,[status(thm)],[])).
% 16.80/12.03 tff(30725,plain,
% 16.80/12.03 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v186(VarNext) <=> v161(VarCurr)))) | ((~nextState(constB189, constB190)) | (v186(constB190) <=> v161(constB189)))),
% 16.80/12.03 inference(quant_inst,[status(thm)],[])).
% 16.80/12.03 tff(30726,plain,
% 16.80/12.03 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v186(VarNext) <=> v161(VarCurr)))) | (~nextState(constB189, constB190)) | (v186(constB190) <=> v161(constB189))),
% 16.80/12.03 inference(modus_ponens,[status(thm)],[30725, 30724])).
% 16.80/12.03 tff(30727,plain,
% 16.80/12.03 (v186(constB190) <=> v161(constB189)),
% 16.80/12.03 inference(unit_resolution,[status(thm)],[30726, 24048, 13662])).
% 16.80/12.03 tff(30728,plain,
% 16.80/12.03 ((~![VarCurr: $i] : (v161(VarCurr) <=> v163(VarCurr))) | (v161(constB189) <=> v163(constB189))),
% 16.80/12.03 inference(quant_inst,[status(thm)],[])).
% 16.80/12.03 tff(30729,plain,
% 16.80/12.03 (v161(constB189) <=> v163(constB189)),
% 16.80/12.03 inference(unit_resolution,[status(thm)],[30728, 357])).
% 16.80/12.03 tff(30730,plain,
% 16.80/12.03 ((~![VarCurr: $i] : (v171(VarCurr) <=> (v142(VarCurr) | v150(VarCurr)))) | (v171(constB189) <=> (v142(constB189) | v150(constB189)))),
% 16.80/12.03 inference(quant_inst,[status(thm)],[])).
% 16.80/12.03 tff(30731,plain,
% 16.80/12.03 (v171(constB189) <=> (v142(constB189) | v150(constB189))),
% 16.80/12.03 inference(unit_resolution,[status(thm)],[30730, 369])).
% 16.80/12.03 tff(30732,plain,
% 16.80/12.03 ((~![VarCurr: $i] : (v142(VarCurr) <=> (v143(VarCurr) | v144(VarCurr)))) | (v142(constB189) <=> (v143(constB189) | v144(constB189)))),
% 16.80/12.03 inference(quant_inst,[status(thm)],[])).
% 16.80/12.03 tff(30733,plain,
% 16.80/12.03 (v142(constB189) <=> (v143(constB189) | v144(constB189))),
% 16.80/12.03 inference(unit_resolution,[status(thm)],[30732, 378])).
% 16.80/12.03 tff(30734,plain,
% 16.80/12.03 (((~![VarCurr: $i] : (v143(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)))))) | (v143(constB189) <=> (~(v88(constB189, bitIndex2) | (~v88(constB189, bitIndex1)) | v88(constB189, bitIndex0))))) <=> ((~![VarCurr: $i] : (v143(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)))))) | (v143(constB189) <=> (~(v88(constB189, bitIndex2) | (~v88(constB189, bitIndex1)) | v88(constB189, bitIndex0)))))),
% 16.80/12.03 inference(rewrite,[status(thm)],[])).
% 16.80/12.04 tff(30735,plain,
% 16.80/12.04 ((v143(constB189) <=> (~(v88(constB189, bitIndex0) | v88(constB189, bitIndex2) | (~v88(constB189, bitIndex1))))) <=> (v143(constB189) <=> (~(v88(constB189, bitIndex2) | (~v88(constB189, bitIndex1)) | v88(constB189, bitIndex0))))),
% 16.80/12.04 inference(rewrite,[status(thm)],[])).
% 16.80/12.04 tff(30736,plain,
% 16.80/12.04 (((~![VarCurr: $i] : (v143(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)))))) | (v143(constB189) <=> (~(v88(constB189, bitIndex0) | v88(constB189, bitIndex2) | (~v88(constB189, bitIndex1)))))) <=> ((~![VarCurr: $i] : (v143(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)))))) | (v143(constB189) <=> (~(v88(constB189, bitIndex2) | (~v88(constB189, bitIndex1)) | v88(constB189, bitIndex0)))))),
% 16.80/12.04 inference(monotonicity,[status(thm)],[30735])).
% 16.80/12.04 tff(30737,plain,
% 16.80/12.04 (((~![VarCurr: $i] : (v143(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)))))) | (v143(constB189) <=> (~(v88(constB189, bitIndex0) | v88(constB189, bitIndex2) | (~v88(constB189, bitIndex1)))))) <=> ((~![VarCurr: $i] : (v143(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)))))) | (v143(constB189) <=> (~(v88(constB189, bitIndex2) | (~v88(constB189, bitIndex1)) | v88(constB189, bitIndex0)))))),
% 16.80/12.04 inference(transitivity,[status(thm)],[30736, 30734])).
% 16.80/12.04 tff(30738,plain,
% 16.80/12.04 ((~![VarCurr: $i] : (v143(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)))))) | (v143(constB189) <=> (~(v88(constB189, bitIndex0) | v88(constB189, bitIndex2) | (~v88(constB189, bitIndex1)))))),
% 16.80/12.04 inference(quant_inst,[status(thm)],[])).
% 16.80/12.04 tff(30739,plain,
% 16.80/12.04 ((~![VarCurr: $i] : (v143(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)))))) | (v143(constB189) <=> (~(v88(constB189, bitIndex2) | (~v88(constB189, bitIndex1)) | v88(constB189, bitIndex0))))),
% 16.80/12.04 inference(modus_ponens,[status(thm)],[30738, 30737])).
% 16.80/12.04 tff(30740,plain,
% 16.80/12.04 (v143(constB189) <=> (~(v88(constB189, bitIndex2) | (~v88(constB189, bitIndex1)) | v88(constB189, bitIndex0)))),
% 16.80/12.04 inference(unit_resolution,[status(thm)],[30739, 20665])).
% 16.80/12.04 tff(30741,plain,
% 16.80/12.04 (((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | ((~less_3(bitIndex2)) | (v88(constB189, bitIndex2) <=> v90(constB189, bitIndex2)))) <=> ((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | (~less_3(bitIndex2)) | (v88(constB189, bitIndex2) <=> v90(constB189, bitIndex2)))),
% 16.80/12.04 inference(rewrite,[status(thm)],[])).
% 16.80/12.04 tff(30742,plain,
% 16.80/12.04 ((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | ((~less_3(bitIndex2)) | (v88(constB189, bitIndex2) <=> v90(constB189, bitIndex2)))),
% 16.80/12.04 inference(quant_inst,[status(thm)],[])).
% 16.80/12.04 tff(30743,plain,
% 16.80/12.04 ((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | (~less_3(bitIndex2)) | (v88(constB189, bitIndex2) <=> v90(constB189, bitIndex2))),
% 16.80/12.04 inference(modus_ponens,[status(thm)],[30742, 30741])).
% 16.80/12.04 tff(30744,plain,
% 16.80/12.04 (v88(constB189, bitIndex2) <=> v90(constB189, bitIndex2)),
% 16.80/12.04 inference(unit_resolution,[status(thm)],[30743, 413, 410])).
% 16.80/12.04 tff(30745,plain,
% 16.80/12.04 ((~(v88(constB189, bitIndex2) <=> v90(constB189, bitIndex2))) | (~v88(constB189, bitIndex2)) | v90(constB189, bitIndex2)),
% 16.80/12.04 inference(tautology,[status(thm)],[])).
% 16.80/12.04 tff(30746,plain,
% 16.80/12.04 (~v88(constB189, bitIndex2)),
% 16.80/12.04 inference(unit_resolution,[status(thm)],[30745, 26629, 30744])).
% 16.80/12.04 tff(30747,plain,
% 16.80/12.04 (((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | ((~less_3(bitIndex0)) | (v88(constB189, bitIndex0) <=> v90(constB189, bitIndex0)))) <=> ((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | (~less_3(bitIndex0)) | (v88(constB189, bitIndex0) <=> v90(constB189, bitIndex0)))),
% 16.80/12.04 inference(rewrite,[status(thm)],[])).
% 16.80/12.04 tff(30748,plain,
% 16.80/12.04 ((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | ((~less_3(bitIndex0)) | (v88(constB189, bitIndex0) <=> v90(constB189, bitIndex0)))),
% 16.80/12.04 inference(quant_inst,[status(thm)],[])).
% 16.80/12.04 tff(30749,plain,
% 16.80/12.04 ((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | (~less_3(bitIndex0)) | (v88(constB189, bitIndex0) <=> v90(constB189, bitIndex0))),
% 16.80/12.04 inference(modus_ponens,[status(thm)],[30748, 30747])).
% 16.80/12.04 tff(30750,plain,
% 16.80/12.04 (v88(constB189, bitIndex0) <=> v90(constB189, bitIndex0)),
% 16.80/12.04 inference(unit_resolution,[status(thm)],[30749, 5004, 410])).
% 16.80/12.04 tff(30751,plain,
% 16.80/12.04 ((~(v88(constB189, bitIndex0) <=> v90(constB189, bitIndex0))) | (~v88(constB189, bitIndex0)) | v90(constB189, bitIndex0)),
% 16.80/12.04 inference(tautology,[status(thm)],[])).
% 16.80/12.04 tff(30752,plain,
% 16.80/12.04 (~v88(constB189, bitIndex0)),
% 16.80/12.04 inference(unit_resolution,[status(thm)],[30751, 26660, 30750])).
% 16.80/12.04 tff(30753,plain,
% 16.80/12.04 (((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | ((~less_3(bitIndex1)) | (v88(constB189, bitIndex1) <=> v90(constB189, bitIndex1)))) <=> ((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | (~less_3(bitIndex1)) | (v88(constB189, bitIndex1) <=> v90(constB189, bitIndex1)))),
% 16.80/12.04 inference(rewrite,[status(thm)],[])).
% 16.80/12.04 tff(30754,plain,
% 16.80/12.04 ((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | ((~less_3(bitIndex1)) | (v88(constB189, bitIndex1) <=> v90(constB189, bitIndex1)))),
% 16.80/12.04 inference(quant_inst,[status(thm)],[])).
% 16.80/12.04 tff(30755,plain,
% 16.80/12.04 ((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | (~less_3(bitIndex1)) | (v88(constB189, bitIndex1) <=> v90(constB189, bitIndex1))),
% 16.80/12.04 inference(modus_ponens,[status(thm)],[30754, 30753])).
% 16.80/12.04 tff(30756,plain,
% 16.80/12.04 (v88(constB189, bitIndex1) <=> v90(constB189, bitIndex1)),
% 16.80/12.04 inference(unit_resolution,[status(thm)],[30755, 5017, 410])).
% 16.80/12.04 tff(30757,plain,
% 16.80/12.04 ((~(v88(constB189, bitIndex1) <=> v90(constB189, bitIndex1))) | v88(constB189, bitIndex1) | (~v90(constB189, bitIndex1))),
% 16.80/12.04 inference(tautology,[status(thm)],[])).
% 16.80/12.04 tff(30758,plain,
% 16.80/12.04 (v88(constB189, bitIndex1)),
% 16.80/12.04 inference(unit_resolution,[status(thm)],[30757, 26691, 30756])).
% 16.80/12.04 tff(30759,plain,
% 16.80/12.04 ((~(v88(constB189, bitIndex2) | (~v88(constB189, bitIndex1)) | v88(constB189, bitIndex0))) | v88(constB189, bitIndex2) | (~v88(constB189, bitIndex1)) | v88(constB189, bitIndex0)),
% 16.80/12.04 inference(tautology,[status(thm)],[])).
% 16.80/12.04 tff(30760,plain,
% 16.80/12.04 (~(v88(constB189, bitIndex2) | (~v88(constB189, bitIndex1)) | v88(constB189, bitIndex0))),
% 16.80/12.04 inference(unit_resolution,[status(thm)],[30759, 30758, 30752, 30746])).
% 16.80/12.04 tff(30761,plain,
% 16.80/12.04 ((~(v143(constB189) <=> (~(v88(constB189, bitIndex2) | (~v88(constB189, bitIndex1)) | v88(constB189, bitIndex0))))) | v143(constB189) | (v88(constB189, bitIndex2) | (~v88(constB189, bitIndex1)) | v88(constB189, bitIndex0))),
% 16.80/12.04 inference(tautology,[status(thm)],[])).
% 16.80/12.04 tff(30762,plain,
% 16.80/12.04 (v143(constB189)),
% 16.80/12.04 inference(unit_resolution,[status(thm)],[30761, 30760, 30740])).
% 16.80/12.04 tff(30763,plain,
% 16.80/12.04 ((v143(constB189) | v144(constB189)) | (~v143(constB189))),
% 16.80/12.04 inference(tautology,[status(thm)],[])).
% 16.80/12.04 tff(30764,plain,
% 16.80/12.04 (v143(constB189) | v144(constB189)),
% 16.80/12.04 inference(unit_resolution,[status(thm)],[30763, 30762])).
% 16.80/12.04 tff(30765,plain,
% 16.80/12.04 ((~(v142(constB189) <=> (v143(constB189) | v144(constB189)))) | v142(constB189) | (~(v143(constB189) | v144(constB189)))),
% 16.80/12.04 inference(tautology,[status(thm)],[])).
% 16.80/12.04 tff(30766,plain,
% 16.80/12.04 (v142(constB189)),
% 16.80/12.04 inference(unit_resolution,[status(thm)],[30765, 30764, 30733])).
% 16.80/12.04 tff(30767,plain,
% 16.80/12.04 ((v142(constB189) | v150(constB189)) | (~v142(constB189))),
% 16.80/12.04 inference(tautology,[status(thm)],[])).
% 16.80/12.04 tff(30768,plain,
% 16.80/12.04 (v142(constB189) | v150(constB189)),
% 16.80/12.04 inference(unit_resolution,[status(thm)],[30767, 30766])).
% 16.80/12.04 tff(30769,plain,
% 16.80/12.04 ((~(v171(constB189) <=> (v142(constB189) | v150(constB189)))) | v171(constB189) | (~(v142(constB189) | v150(constB189)))),
% 16.80/12.04 inference(tautology,[status(thm)],[])).
% 16.80/12.04 tff(30770,plain,
% 16.80/12.04 (v171(constB189)),
% 16.80/12.04 inference(unit_resolution,[status(thm)],[30769, 30768, 30731])).
% 16.80/12.04 tff(30771,plain,
% 16.80/12.04 (((~![VarCurr: $i] : ((~v171(VarCurr)) | (~v170(VarCurr)))) | ((~v170(constB189)) | (~v171(constB189)))) <=> ((~![VarCurr: $i] : ((~v171(VarCurr)) | (~v170(VarCurr)))) | (~v170(constB189)) | (~v171(constB189)))),
% 16.80/12.04 inference(rewrite,[status(thm)],[])).
% 16.80/12.04 tff(30772,plain,
% 16.80/12.04 (((~v171(constB189)) | (~v170(constB189))) <=> ((~v170(constB189)) | (~v171(constB189)))),
% 16.80/12.04 inference(rewrite,[status(thm)],[])).
% 16.80/12.04 tff(30773,plain,
% 16.80/12.04 (((~![VarCurr: $i] : ((~v171(VarCurr)) | (~v170(VarCurr)))) | ((~v171(constB189)) | (~v170(constB189)))) <=> ((~![VarCurr: $i] : ((~v171(VarCurr)) | (~v170(VarCurr)))) | ((~v170(constB189)) | (~v171(constB189))))),
% 16.80/12.04 inference(monotonicity,[status(thm)],[30772])).
% 16.80/12.04 tff(30774,plain,
% 16.80/12.04 (((~![VarCurr: $i] : ((~v171(VarCurr)) | (~v170(VarCurr)))) | ((~v171(constB189)) | (~v170(constB189)))) <=> ((~![VarCurr: $i] : ((~v171(VarCurr)) | (~v170(VarCurr)))) | (~v170(constB189)) | (~v171(constB189)))),
% 16.80/12.04 inference(transitivity,[status(thm)],[30773, 30771])).
% 16.80/12.04 tff(30775,plain,
% 16.80/12.04 ((~![VarCurr: $i] : ((~v171(VarCurr)) | (~v170(VarCurr)))) | ((~v171(constB189)) | (~v170(constB189)))),
% 16.80/12.04 inference(quant_inst,[status(thm)],[])).
% 16.80/12.04 tff(30776,plain,
% 16.80/12.04 ((~![VarCurr: $i] : ((~v171(VarCurr)) | (~v170(VarCurr)))) | (~v170(constB189)) | (~v171(constB189))),
% 16.80/12.04 inference(modus_ponens,[status(thm)],[30775, 30774])).
% 16.80/12.04 tff(30777,plain,
% 16.80/12.04 ((~v170(constB189)) | (~v171(constB189))),
% 16.80/12.04 inference(unit_resolution,[status(thm)],[30776, 13061])).
% 16.80/12.04 tff(30778,plain,
% 16.80/12.04 (~v170(constB189)),
% 16.80/12.04 inference(unit_resolution,[status(thm)],[30777, 30770])).
% 16.80/12.04 tff(30779,plain,
% 16.80/12.04 ((~![VarCurr: $i] : (v166(VarCurr) <=> (v145(VarCurr) | v167(VarCurr)))) | (v166(constB189) <=> (v145(constB189) | v167(constB189)))),
% 16.80/12.04 inference(quant_inst,[status(thm)],[])).
% 16.80/12.04 tff(30780,plain,
% 16.80/12.04 (v166(constB189) <=> (v145(constB189) | v167(constB189))),
% 16.80/12.04 inference(unit_resolution,[status(thm)],[30779, 13079])).
% 16.80/12.04 tff(30781,plain,
% 16.80/12.04 ((~![VarCurr: $i] : (v167(VarCurr) <=> (v142(VarCurr) | v168(VarCurr)))) | (v167(constB189) <=> (v142(constB189) | v168(constB189)))),
% 16.80/12.04 inference(quant_inst,[status(thm)],[])).
% 16.80/12.04 tff(30782,plain,
% 16.80/12.04 (v167(constB189) <=> (v142(constB189) | v168(constB189))),
% 16.80/12.04 inference(unit_resolution,[status(thm)],[30781, 13091])).
% 16.80/12.04 tff(30783,plain,
% 16.80/12.04 ((v142(constB189) | v168(constB189)) | (~v142(constB189))),
% 16.80/12.04 inference(tautology,[status(thm)],[])).
% 16.80/12.04 tff(30784,plain,
% 16.80/12.04 (v142(constB189) | v168(constB189)),
% 16.80/12.04 inference(unit_resolution,[status(thm)],[30783, 30766])).
% 16.80/12.04 tff(30785,plain,
% 16.80/12.04 ((~(v167(constB189) <=> (v142(constB189) | v168(constB189)))) | v167(constB189) | (~(v142(constB189) | v168(constB189)))),
% 16.80/12.04 inference(tautology,[status(thm)],[])).
% 16.80/12.04 tff(30786,plain,
% 16.80/12.04 (v167(constB189)),
% 16.80/12.04 inference(unit_resolution,[status(thm)],[30785, 30784, 30782])).
% 16.80/12.04 tff(30787,plain,
% 16.80/12.04 ((v145(constB189) | v167(constB189)) | (~v167(constB189))),
% 16.80/12.04 inference(tautology,[status(thm)],[])).
% 16.80/12.04 tff(30788,plain,
% 16.80/12.04 (v145(constB189) | v167(constB189)),
% 16.80/12.04 inference(unit_resolution,[status(thm)],[30787, 30786])).
% 16.80/12.04 tff(30789,plain,
% 16.80/12.04 ((~(v166(constB189) <=> (v145(constB189) | v167(constB189)))) | v166(constB189) | (~(v145(constB189) | v167(constB189)))),
% 16.80/12.04 inference(tautology,[status(thm)],[])).
% 16.80/12.04 tff(30790,plain,
% 16.80/12.04 (v166(constB189)),
% 16.80/12.04 inference(unit_resolution,[status(thm)],[30789, 30788, 30780])).
% 16.80/12.04 tff(30791,plain,
% 16.80/12.04 (((~![VarNext: $i] : ((~v166(VarNext)) | (v163(VarNext) <=> v170(VarNext)))) | ((~v166(constB189)) | (v163(constB189) <=> v170(constB189)))) <=> ((~![VarNext: $i] : ((~v166(VarNext)) | (v163(VarNext) <=> v170(VarNext)))) | (~v166(constB189)) | (v163(constB189) <=> v170(constB189)))),
% 16.80/12.04 inference(rewrite,[status(thm)],[])).
% 16.80/12.04 tff(30792,plain,
% 16.80/12.04 ((~![VarNext: $i] : ((~v166(VarNext)) | (v163(VarNext) <=> v170(VarNext)))) | ((~v166(constB189)) | (v163(constB189) <=> v170(constB189)))),
% 16.80/12.04 inference(quant_inst,[status(thm)],[])).
% 16.80/12.04 tff(30793,plain,
% 16.80/12.04 ((~![VarNext: $i] : ((~v166(VarNext)) | (v163(VarNext) <=> v170(VarNext)))) | (~v166(constB189)) | (v163(constB189) <=> v170(constB189))),
% 16.80/12.04 inference(modus_ponens,[status(thm)],[30792, 30791])).
% 16.80/12.04 tff(30794,plain,
% 16.80/12.04 ((~v166(constB189)) | (v163(constB189) <=> v170(constB189))),
% 16.80/12.04 inference(unit_resolution,[status(thm)],[30793, 13111])).
% 16.80/12.04 tff(30795,plain,
% 16.80/12.04 (v163(constB189) <=> v170(constB189)),
% 16.80/12.04 inference(unit_resolution,[status(thm)],[30794, 30790])).
% 16.80/12.04 tff(30796,plain,
% 16.80/12.04 ((~(v163(constB189) <=> v170(constB189))) | (~v163(constB189)) | v170(constB189)),
% 16.80/12.04 inference(tautology,[status(thm)],[])).
% 16.80/12.04 tff(30797,plain,
% 16.80/12.04 (~v163(constB189)),
% 16.80/12.04 inference(unit_resolution,[status(thm)],[30796, 30795, 30778])).
% 16.80/12.04 tff(30798,plain,
% 16.80/12.04 ((~(v161(constB189) <=> v163(constB189))) | (~v161(constB189)) | v163(constB189)),
% 16.80/12.04 inference(tautology,[status(thm)],[])).
% 16.80/12.04 tff(30799,plain,
% 16.80/12.04 (~v161(constB189)),
% 16.80/12.04 inference(unit_resolution,[status(thm)],[30798, 30797, 30729])).
% 16.80/12.04 tff(30800,plain,
% 16.80/12.04 ((~(v186(constB190) <=> v161(constB189))) | (~v186(constB190)) | v161(constB189)),
% 16.80/12.04 inference(tautology,[status(thm)],[])).
% 16.80/12.04 tff(30801,plain,
% 16.80/12.04 (~v186(constB190)),
% 16.80/12.04 inference(unit_resolution,[status(thm)],[30800, 30799, 30727])).
% 16.80/12.04 tff(30802,plain,
% 16.80/12.04 ((~(v159(constB190) <=> v186(constB190))) | (~v159(constB190)) | v186(constB190)),
% 16.80/12.04 inference(tautology,[status(thm)],[])).
% 16.80/12.04 tff(30803,plain,
% 16.80/12.04 (~v159(constB190)),
% 16.80/12.04 inference(unit_resolution,[status(thm)],[30802, 30801, 30723])).
% 16.80/12.04 tff(30804,plain,
% 16.80/12.04 ((~(v159(constB191) <=> v159(constB190))) | (~v159(constB191)) | v159(constB190)),
% 16.80/12.04 inference(tautology,[status(thm)],[])).
% 16.80/12.04 tff(30805,plain,
% 16.80/12.04 (~v159(constB191)),
% 16.80/12.04 inference(unit_resolution,[status(thm)],[30804, 30803, 30695])).
% 16.80/12.04 tff(30806,plain,
% 16.80/12.04 (((~v159(constB191)) | (~v161(constB191))) | v159(constB191)),
% 16.80/12.04 inference(tautology,[status(thm)],[])).
% 16.80/12.04 tff(30807,plain,
% 16.80/12.04 ((~v159(constB191)) | (~v161(constB191))),
% 16.80/12.04 inference(unit_resolution,[status(thm)],[30806, 30805])).
% 16.80/12.04 tff(30808,plain,
% 16.80/12.04 ((~(v201(constB191) <=> (~((~v159(constB191)) | (~v161(constB191)))))) | (~v201(constB191)) | (~((~v159(constB191)) | (~v161(constB191))))),
% 16.80/12.04 inference(tautology,[status(thm)],[])).
% 16.80/12.04 tff(30809,plain,
% 16.80/12.04 (~v201(constB191)),
% 16.80/12.04 inference(unit_resolution,[status(thm)],[30808, 30807, 30669])).
% 16.80/12.04 tff(30810,plain,
% 16.80/12.04 (((~v197(constB191)) | (~v201(constB191))) | v201(constB191)),
% 16.80/12.04 inference(tautology,[status(thm)],[])).
% 16.80/12.04 tff(30811,plain,
% 16.80/12.04 ((~v197(constB191)) | (~v201(constB191))),
% 16.80/12.04 inference(unit_resolution,[status(thm)],[30810, 30809])).
% 16.80/12.04 tff(30812,plain,
% 16.80/12.04 ((~(v200(constB191) <=> (~((~v197(constB191)) | (~v201(constB191)))))) | (~v200(constB191)) | (~((~v197(constB191)) | (~v201(constB191))))),
% 16.80/12.04 inference(tautology,[status(thm)],[])).
% 16.80/12.04 tff(30813,plain,
% 16.80/12.04 (~v200(constB191)),
% 16.80/12.04 inference(unit_resolution,[status(thm)],[30812, 30811, 30667])).
% 16.80/12.04 tff(30814,plain,
% 16.80/12.04 (((~v199(constB191)) | (~v200(constB191))) | v200(constB191)),
% 16.80/12.04 inference(tautology,[status(thm)],[])).
% 16.80/12.04 tff(30815,plain,
% 16.80/12.04 ((~v199(constB191)) | (~v200(constB191))),
% 16.80/12.04 inference(unit_resolution,[status(thm)],[30814, 30813])).
% 16.80/12.04 tff(30816,plain,
% 16.80/12.04 ((~(v198(constB191) <=> (~((~v199(constB191)) | (~v200(constB191)))))) | (~v198(constB191)) | (~((~v199(constB191)) | (~v200(constB191))))),
% 16.80/12.04 inference(tautology,[status(thm)],[])).
% 16.80/12.04 tff(30817,plain,
% 16.80/12.04 (~v198(constB191)),
% 16.80/12.04 inference(unit_resolution,[status(thm)],[30816, 30815, 30665])).
% 16.80/12.04 tff(30818,plain,
% 16.80/12.04 ((~(v194(constB191) | v198(constB191))) | v194(constB191) | v198(constB191)),
% 16.80/12.04 inference(tautology,[status(thm)],[])).
% 16.80/12.04 tff(30819,plain,
% 16.80/12.04 (~(v194(constB191) | v198(constB191))),
% 16.80/12.04 inference(unit_resolution,[status(thm)],[30818, 30817, 30663])).
% 16.80/12.04 tff(30820,plain,
% 16.80/12.04 ((~(v191(constB191) <=> (v194(constB191) | v198(constB191)))) | (~v191(constB191)) | (v194(constB191) | v198(constB191))),
% 16.80/12.04 inference(tautology,[status(thm)],[])).
% 16.80/12.04 tff(30821,plain,
% 16.80/12.04 (~v191(constB191)),
% 16.80/12.04 inference(unit_resolution,[status(thm)],[30820, 30819, 30590])).
% 16.80/12.04 tff(30822,plain,
% 16.80/12.04 ((~(v193(constB192) <=> v191(constB191))) | (~v193(constB192)) | v191(constB191)),
% 16.80/12.04 inference(tautology,[status(thm)],[])).
% 16.80/12.04 tff(30823,plain,
% 16.80/12.04 (~v193(constB192)),
% 16.80/12.04 inference(unit_resolution,[status(thm)],[30822, 30821, 30588])).
% 16.80/12.05 tff(30824,plain,
% 16.80/12.05 ((~(v157(constB192) <=> v193(constB192))) | (~v157(constB192)) | v193(constB192)),
% 16.80/12.05 inference(tautology,[status(thm)],[])).
% 16.80/12.05 tff(30825,plain,
% 16.80/12.05 (~v157(constB192)),
% 16.80/12.05 inference(unit_resolution,[status(thm)],[30824, 30823, 30584])).
% 16.80/12.05 tff(30826,plain,
% 16.80/12.05 (((~v157(constB192)) | (~v195(constB192))) | v157(constB192)),
% 16.80/12.05 inference(tautology,[status(thm)],[])).
% 16.80/12.05 tff(30827,plain,
% 16.80/12.05 ((~v157(constB192)) | (~v195(constB192))),
% 16.80/12.05 inference(unit_resolution,[status(thm)],[30826, 30825])).
% 16.80/12.05 tff(30828,plain,
% 16.80/12.05 ((~(v194(constB192) <=> (~((~v157(constB192)) | (~v195(constB192)))))) | (~v194(constB192)) | (~((~v157(constB192)) | (~v195(constB192))))),
% 16.80/12.05 inference(tautology,[status(thm)],[])).
% 16.80/12.05 tff(30829,plain,
% 16.80/12.05 (~v194(constB192)),
% 16.80/12.05 inference(unit_resolution,[status(thm)],[30828, 30827, 30582])).
% 16.80/12.05 tff(30830,plain,
% 16.80/12.05 ((~(v194(constB192) | v198(constB192))) | v194(constB192) | v198(constB192)),
% 16.80/12.05 inference(tautology,[status(thm)],[])).
% 16.80/12.05 tff(30831,plain,
% 16.80/12.05 (~(v194(constB192) | v198(constB192))),
% 16.80/12.05 inference(unit_resolution,[status(thm)],[30830, 30829, 30575])).
% 16.80/12.05 tff(30832,plain,
% 16.80/12.05 ((~(v191(constB192) <=> (v194(constB192) | v198(constB192)))) | (~v191(constB192)) | (v194(constB192) | v198(constB192))),
% 16.80/12.05 inference(tautology,[status(thm)],[])).
% 16.80/12.05 tff(30833,plain,
% 16.80/12.05 (~v191(constB192)),
% 16.80/12.05 inference(unit_resolution,[status(thm)],[30832, 30831, 30550])).
% 16.80/12.05 tff(30834,plain,
% 16.80/12.05 ((~(v193(constB193) <=> v191(constB192))) | (~v193(constB193)) | v191(constB192)),
% 16.80/12.05 inference(tautology,[status(thm)],[])).
% 16.80/12.05 tff(30835,plain,
% 16.80/12.05 (~v193(constB193)),
% 16.80/12.05 inference(unit_resolution,[status(thm)],[30834, 30833, 30548])).
% 16.80/12.05 tff(30836,plain,
% 16.80/12.05 ($false),
% 16.80/12.05 inference(unit_resolution,[status(thm)],[30835, 30544])).
% 16.80/12.05 tff(30837,plain,(~(constB193 = VarCurr!0)), inference(lemma,lemma(discharge,[]))).
% 16.80/12.05 tff(30838,assumption,(constB53 = VarCurr!0), introduced(assumption)).
% 16.80/12.05 tff(30839,plain,
% 16.80/12.05 (v193(constB53) <=> v193(VarCurr!0)),
% 16.80/12.05 inference(monotonicity,[status(thm)],[30838])).
% 16.80/12.05 tff(30840,plain,
% 16.80/12.05 (v193(VarCurr!0) <=> v193(constB53)),
% 16.80/12.05 inference(symmetry,[status(thm)],[30839])).
% 16.80/12.05 tff(30841,plain,
% 16.80/12.05 (v193(constB53)),
% 16.80/12.05 inference(modus_ponens,[status(thm)],[59, 30840])).
% 16.80/12.05 tff(30842,plain,
% 16.80/12.05 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v193(VarNext) <=> v191(VarCurr)))) | ((~nextState(constB52, constB53)) | (v193(constB53) <=> v191(constB52)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v193(VarNext) <=> v191(VarCurr)))) | (~nextState(constB52, constB53)) | (v193(constB53) <=> v191(constB52)))),
% 16.80/12.05 inference(rewrite,[status(thm)],[])).
% 16.80/12.05 tff(30843,plain,
% 16.80/12.05 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v193(VarNext) <=> v191(VarCurr)))) | ((~nextState(constB52, constB53)) | (v193(constB53) <=> v191(constB52)))),
% 16.80/12.05 inference(quant_inst,[status(thm)],[])).
% 16.80/12.05 tff(30844,plain,
% 16.80/12.05 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v193(VarNext) <=> v191(VarCurr)))) | (~nextState(constB52, constB53)) | (v193(constB53) <=> v191(constB52))),
% 16.80/12.05 inference(modus_ponens,[status(thm)],[30843, 30842])).
% 16.80/12.05 tff(30845,plain,
% 16.80/12.05 (v193(constB53) <=> v191(constB52)),
% 16.80/12.05 inference(unit_resolution,[status(thm)],[30844, 2556, 70])).
% 16.80/12.05 tff(30846,plain,
% 16.80/12.05 ((~![VarCurr: $i] : (v191(VarCurr) <=> (v194(VarCurr) | v198(VarCurr)))) | (v191(constB52) <=> (v194(constB52) | v198(constB52)))),
% 16.80/12.05 inference(quant_inst,[status(thm)],[])).
% 16.80/12.05 tff(30847,plain,
% 16.80/12.05 (v191(constB52) <=> (v194(constB52) | v198(constB52))),
% 16.80/12.05 inference(unit_resolution,[status(thm)],[30846, 84])).
% 16.80/12.05 tff(30848,plain,
% 16.80/12.05 ((~![VarCurr: $i] : (v198(VarCurr) <=> (~((~v199(VarCurr)) | (~v200(VarCurr)))))) | (v198(constB52) <=> (~((~v199(constB52)) | (~v200(constB52)))))),
% 16.80/12.05 inference(quant_inst,[status(thm)],[])).
% 16.80/12.05 tff(30849,plain,
% 16.80/12.05 (v198(constB52) <=> (~((~v199(constB52)) | (~v200(constB52))))),
% 16.80/12.05 inference(unit_resolution,[status(thm)],[30848, 96])).
% 16.80/12.05 tff(30850,plain,
% 16.80/12.05 ((~![VarCurr: $i] : (v200(VarCurr) <=> (~((~v197(VarCurr)) | (~v201(VarCurr)))))) | (v200(constB52) <=> (~((~v197(constB52)) | (~v201(constB52)))))),
% 16.80/12.05 inference(quant_inst,[status(thm)],[])).
% 16.80/12.05 tff(30851,plain,
% 16.80/12.05 (v200(constB52) <=> (~((~v197(constB52)) | (~v201(constB52))))),
% 16.80/12.05 inference(unit_resolution,[status(thm)],[30850, 108])).
% 16.80/12.05 tff(30852,plain,
% 16.80/12.05 ((~![VarCurr: $i] : (v197(VarCurr) <=> (~((~v39(VarCurr)) | (~v9(VarCurr)))))) | (v197(constB52) <=> (~((~v39(constB52)) | (~v9(constB52)))))),
% 16.80/12.05 inference(quant_inst,[status(thm)],[])).
% 16.80/12.05 tff(30853,plain,
% 16.80/12.05 (v197(constB52) <=> (~((~v39(constB52)) | (~v9(constB52))))),
% 16.80/12.05 inference(unit_resolution,[status(thm)],[30852, 120])).
% 16.80/12.05 tff(30854,plain,
% 16.80/12.05 ((~![VarCurr: $i] : ((~v39(VarCurr)) <=> v1(VarCurr))) | ((~v39(constB52)) <=> v1(constB52))),
% 16.80/12.05 inference(quant_inst,[status(thm)],[])).
% 16.80/12.05 tff(30855,plain,
% 16.80/12.05 ((~v39(constB52)) <=> v1(constB52)),
% 16.80/12.05 inference(unit_resolution,[status(thm)],[30854, 129])).
% 16.80/12.05 tff(30856,plain,
% 16.80/12.05 ((~((~v39(constB52)) <=> v1(constB52))) | (~v39(constB52)) | (~v1(constB52))),
% 16.80/12.05 inference(tautology,[status(thm)],[])).
% 16.80/12.05 tff(30857,plain,
% 16.80/12.05 ((~((~v39(constB52)) <=> v1(constB52))) | (~v39(constB52))),
% 16.80/12.05 inference(unit_resolution,[status(thm)],[30856, 2618])).
% 16.80/12.05 tff(30858,plain,
% 16.80/12.05 (~v39(constB52)),
% 16.80/12.05 inference(unit_resolution,[status(thm)],[30857, 30855])).
% 16.80/12.05 tff(30859,plain,
% 16.80/12.05 (((~v39(constB52)) | (~v9(constB52))) | v39(constB52)),
% 16.80/12.05 inference(tautology,[status(thm)],[])).
% 16.80/12.05 tff(30860,plain,
% 16.80/12.05 ((~v39(constB52)) | (~v9(constB52))),
% 16.80/12.05 inference(unit_resolution,[status(thm)],[30859, 30858])).
% 16.80/12.05 tff(30861,plain,
% 16.80/12.05 ((~(v197(constB52) <=> (~((~v39(constB52)) | (~v9(constB52)))))) | (~v197(constB52)) | (~((~v39(constB52)) | (~v9(constB52))))),
% 16.80/12.05 inference(tautology,[status(thm)],[])).
% 16.80/12.05 tff(30862,plain,
% 16.80/12.05 ((~(v197(constB52) <=> (~((~v39(constB52)) | (~v9(constB52)))))) | (~v197(constB52))),
% 16.80/12.05 inference(unit_resolution,[status(thm)],[30861, 30860])).
% 16.80/12.05 tff(30863,plain,
% 16.80/12.05 (~v197(constB52)),
% 16.80/12.05 inference(unit_resolution,[status(thm)],[30862, 30853])).
% 16.80/12.05 tff(30864,plain,
% 16.80/12.05 (((~v197(constB52)) | (~v201(constB52))) | v197(constB52)),
% 16.80/12.05 inference(tautology,[status(thm)],[])).
% 16.80/12.05 tff(30865,plain,
% 16.80/12.05 ((~v197(constB52)) | (~v201(constB52))),
% 16.80/12.05 inference(unit_resolution,[status(thm)],[30864, 30863])).
% 16.80/12.05 tff(30866,plain,
% 16.80/12.05 ((~(v200(constB52) <=> (~((~v197(constB52)) | (~v201(constB52)))))) | (~v200(constB52)) | (~((~v197(constB52)) | (~v201(constB52))))),
% 16.80/12.05 inference(tautology,[status(thm)],[])).
% 16.80/12.05 tff(30867,plain,
% 16.80/12.05 ((~(v200(constB52) <=> (~((~v197(constB52)) | (~v201(constB52)))))) | (~v200(constB52))),
% 16.80/12.05 inference(unit_resolution,[status(thm)],[30866, 30865])).
% 16.80/12.05 tff(30868,plain,
% 16.80/12.05 (~v200(constB52)),
% 16.80/12.05 inference(unit_resolution,[status(thm)],[30867, 30851])).
% 16.80/12.05 tff(30869,plain,
% 16.80/12.05 (((~v199(constB52)) | (~v200(constB52))) | v200(constB52)),
% 16.80/12.05 inference(tautology,[status(thm)],[])).
% 16.80/12.05 tff(30870,plain,
% 16.80/12.05 ((~v199(constB52)) | (~v200(constB52))),
% 16.80/12.05 inference(unit_resolution,[status(thm)],[30869, 30868])).
% 16.80/12.05 tff(30871,plain,
% 16.80/12.05 ((~(v198(constB52) <=> (~((~v199(constB52)) | (~v200(constB52)))))) | (~v198(constB52)) | (~((~v199(constB52)) | (~v200(constB52))))),
% 16.80/12.05 inference(tautology,[status(thm)],[])).
% 16.80/12.05 tff(30872,plain,
% 16.80/12.05 (~v198(constB52)),
% 16.80/12.05 inference(unit_resolution,[status(thm)],[30871, 30870, 30849])).
% 16.80/12.05 tff(30873,plain,
% 16.80/12.05 (((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB52) <=> (~((~v157(constB52)) | (~v195(constB52)))))) <=> ((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB52) <=> (~((~v157(constB52)) | (~v195(constB52))))))),
% 16.80/12.05 inference(rewrite,[status(thm)],[])).
% 16.80/12.05 tff(30874,plain,
% 16.80/12.05 ((v194(constB52) <=> (~((~v195(constB52)) | (~v157(constB52))))) <=> (v194(constB52) <=> (~((~v157(constB52)) | (~v195(constB52)))))),
% 16.80/12.05 inference(rewrite,[status(thm)],[])).
% 16.80/12.05 tff(30875,plain,
% 16.80/12.05 (((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB52) <=> (~((~v195(constB52)) | (~v157(constB52)))))) <=> ((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB52) <=> (~((~v157(constB52)) | (~v195(constB52))))))),
% 16.80/12.05 inference(monotonicity,[status(thm)],[30874])).
% 16.80/12.05 tff(30876,plain,
% 16.80/12.05 (((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB52) <=> (~((~v195(constB52)) | (~v157(constB52)))))) <=> ((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB52) <=> (~((~v157(constB52)) | (~v195(constB52))))))),
% 16.80/12.05 inference(transitivity,[status(thm)],[30875, 30873])).
% 16.80/12.05 tff(30877,plain,
% 16.80/12.05 ((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB52) <=> (~((~v195(constB52)) | (~v157(constB52)))))),
% 16.80/12.05 inference(quant_inst,[status(thm)],[])).
% 16.80/12.05 tff(30878,plain,
% 16.80/12.05 ((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB52) <=> (~((~v157(constB52)) | (~v195(constB52)))))),
% 16.80/12.05 inference(modus_ponens,[status(thm)],[30877, 30876])).
% 16.80/12.05 tff(30879,plain,
% 16.80/12.05 (v194(constB52) <=> (~((~v157(constB52)) | (~v195(constB52))))),
% 16.80/12.05 inference(unit_resolution,[status(thm)],[30878, 161])).
% 16.80/12.05 tff(30880,plain,
% 16.80/12.05 ((~![VarNext: $i] : (v157(VarNext) <=> v193(VarNext))) | (v157(constB52) <=> v193(constB52))),
% 16.80/12.05 inference(quant_inst,[status(thm)],[])).
% 16.80/12.05 tff(30881,plain,
% 16.80/12.05 (v157(constB52) <=> v193(constB52)),
% 16.80/12.05 inference(unit_resolution,[status(thm)],[30880, 13])).
% 16.80/12.05 tff(30882,plain,
% 16.80/12.05 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v193(VarNext) <=> v191(VarCurr)))) | ((~nextState(constB51, constB52)) | (v193(constB52) <=> v191(constB51)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v193(VarNext) <=> v191(VarCurr)))) | (~nextState(constB51, constB52)) | (v193(constB52) <=> v191(constB51)))),
% 16.80/12.05 inference(rewrite,[status(thm)],[])).
% 16.80/12.05 tff(30883,plain,
% 16.80/12.05 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v193(VarNext) <=> v191(VarCurr)))) | ((~nextState(constB51, constB52)) | (v193(constB52) <=> v191(constB51)))),
% 16.80/12.05 inference(quant_inst,[status(thm)],[])).
% 16.80/12.05 tff(30884,plain,
% 16.80/12.05 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v193(VarNext) <=> v191(VarCurr)))) | (~nextState(constB51, constB52)) | (v193(constB52) <=> v191(constB51))),
% 16.80/12.05 inference(modus_ponens,[status(thm)],[30883, 30882])).
% 16.80/12.05 tff(30885,plain,
% 16.80/12.05 (v193(constB52) <=> v191(constB51)),
% 16.80/12.05 inference(unit_resolution,[status(thm)],[30884, 2588, 70])).
% 16.80/12.05 tff(30886,plain,
% 16.80/12.05 ((~![VarCurr: $i] : (v191(VarCurr) <=> (v194(VarCurr) | v198(VarCurr)))) | (v191(constB51) <=> (v194(constB51) | v198(constB51)))),
% 16.80/12.05 inference(quant_inst,[status(thm)],[])).
% 16.80/12.05 tff(30887,plain,
% 16.80/12.05 (v191(constB51) <=> (v194(constB51) | v198(constB51))),
% 16.80/12.05 inference(unit_resolution,[status(thm)],[30886, 84])).
% 16.80/12.05 tff(30888,plain,
% 16.80/12.05 (((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB51) <=> (~((~v157(constB51)) | (~v195(constB51)))))) <=> ((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB51) <=> (~((~v157(constB51)) | (~v195(constB51))))))),
% 16.80/12.05 inference(rewrite,[status(thm)],[])).
% 16.80/12.05 tff(30889,plain,
% 16.80/12.05 ((v194(constB51) <=> (~((~v195(constB51)) | (~v157(constB51))))) <=> (v194(constB51) <=> (~((~v157(constB51)) | (~v195(constB51)))))),
% 16.80/12.05 inference(rewrite,[status(thm)],[])).
% 16.80/12.05 tff(30890,plain,
% 16.80/12.05 (((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB51) <=> (~((~v195(constB51)) | (~v157(constB51)))))) <=> ((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB51) <=> (~((~v157(constB51)) | (~v195(constB51))))))),
% 16.80/12.05 inference(monotonicity,[status(thm)],[30889])).
% 16.80/12.05 tff(30891,plain,
% 16.80/12.05 (((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB51) <=> (~((~v195(constB51)) | (~v157(constB51)))))) <=> ((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB51) <=> (~((~v157(constB51)) | (~v195(constB51))))))),
% 16.80/12.05 inference(transitivity,[status(thm)],[30890, 30888])).
% 16.80/12.05 tff(30892,plain,
% 16.80/12.05 ((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB51) <=> (~((~v195(constB51)) | (~v157(constB51)))))),
% 16.80/12.05 inference(quant_inst,[status(thm)],[])).
% 16.80/12.05 tff(30893,plain,
% 16.80/12.05 ((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB51) <=> (~((~v157(constB51)) | (~v195(constB51)))))),
% 16.80/12.05 inference(modus_ponens,[status(thm)],[30892, 30891])).
% 16.80/12.05 tff(30894,plain,
% 16.80/12.05 (v194(constB51) <=> (~((~v157(constB51)) | (~v195(constB51))))),
% 16.80/12.05 inference(unit_resolution,[status(thm)],[30893, 161])).
% 16.80/12.05 tff(30895,plain,
% 16.80/12.05 ((~![VarCurr: $i] : ((~v195(VarCurr)) <=> v196(VarCurr))) | ((~v195(constB51)) <=> v196(constB51))),
% 16.80/12.05 inference(quant_inst,[status(thm)],[])).
% 16.80/12.05 tff(30896,plain,
% 16.80/12.05 ((~v195(constB51)) <=> v196(constB51)),
% 16.80/12.05 inference(unit_resolution,[status(thm)],[30895, 193])).
% 16.80/12.05 tff(30897,plain,
% 16.80/12.05 ((~![VarCurr: $i] : (v196(VarCurr) <=> (v197(VarCurr) | v26(VarCurr)))) | (v196(constB51) <=> (v197(constB51) | v26(constB51)))),
% 16.80/12.05 inference(quant_inst,[status(thm)],[])).
% 16.80/12.05 tff(30898,plain,
% 16.80/12.05 (v196(constB51) <=> (v197(constB51) | v26(constB51))),
% 16.80/12.05 inference(unit_resolution,[status(thm)],[30897, 202])).
% 16.80/12.05 tff(30899,plain,
% 16.80/12.05 ((~![VarCurr: $i] : (v197(VarCurr) <=> (~((~v39(VarCurr)) | (~v9(VarCurr)))))) | (v197(constB51) <=> (~((~v39(constB51)) | (~v9(constB51)))))),
% 16.80/12.05 inference(quant_inst,[status(thm)],[])).
% 16.80/12.05 tff(30900,plain,
% 16.80/12.05 (v197(constB51) <=> (~((~v39(constB51)) | (~v9(constB51))))),
% 16.80/12.05 inference(unit_resolution,[status(thm)],[30899, 120])).
% 16.80/12.05 tff(30901,plain,
% 16.80/12.05 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | ((~nextState(constB51, constB52)) | (v13(constB52) <=> v9(constB51)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | (~nextState(constB51, constB52)) | (v13(constB52) <=> v9(constB51)))),
% 16.80/12.05 inference(rewrite,[status(thm)],[])).
% 16.80/12.05 tff(30902,plain,
% 16.80/12.05 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | ((~nextState(constB51, constB52)) | (v13(constB52) <=> v9(constB51)))),
% 16.80/12.05 inference(quant_inst,[status(thm)],[])).
% 16.80/12.05 tff(30903,plain,
% 16.80/12.05 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | (~nextState(constB51, constB52)) | (v13(constB52) <=> v9(constB51))),
% 16.80/12.05 inference(modus_ponens,[status(thm)],[30902, 30901])).
% 16.80/12.05 tff(30904,plain,
% 16.80/12.05 (v13(constB52) <=> v9(constB51)),
% 16.80/12.05 inference(unit_resolution,[status(thm)],[30903, 2588, 216])).
% 16.80/12.05 tff(30905,plain,
% 16.80/12.05 ((~![VarNext: $i] : (v6(VarNext) <=> v13(VarNext))) | (v6(constB52) <=> v13(constB52))),
% 16.80/12.05 inference(quant_inst,[status(thm)],[])).
% 16.80/12.05 tff(30906,plain,
% 16.80/12.05 (v6(constB52) <=> v13(constB52)),
% 16.80/12.05 inference(unit_resolution,[status(thm)],[30905, 230])).
% 16.80/12.05 tff(30907,plain,
% 16.80/12.05 ((~![VarCurr: $i] : ((~v21(VarCurr)) <=> v6(VarCurr))) | ((~v21(constB52)) <=> v6(constB52))),
% 16.80/12.05 inference(quant_inst,[status(thm)],[])).
% 16.80/12.05 tff(30908,plain,
% 16.80/12.05 ((~v21(constB52)) <=> v6(constB52)),
% 16.80/12.05 inference(unit_resolution,[status(thm)],[30907, 239])).
% 16.80/12.05 tff(30909,plain,
% 16.80/12.05 ((~![VarCurr: $i] : (v19(VarCurr) <=> (v20(VarCurr) | v21(VarCurr)))) | (v19(constB52) <=> (v20(constB52) | v21(constB52)))),
% 16.80/12.05 inference(quant_inst,[status(thm)],[])).
% 16.80/12.05 tff(30910,plain,
% 16.80/12.05 (v19(constB52) <=> (v20(constB52) | v21(constB52))),
% 16.80/12.05 inference(unit_resolution,[status(thm)],[30909, 248])).
% 16.80/12.05 tff(30911,plain,
% 16.80/12.05 ((~![VarCurr: $i] : (v18(VarCurr) <=> (~((~v19(VarCurr)) | (~v22(VarCurr)))))) | (v18(constB52) <=> (~((~v19(constB52)) | (~v22(constB52)))))),
% 16.80/12.05 inference(quant_inst,[status(thm)],[])).
% 16.80/12.05 tff(30912,plain,
% 16.80/12.05 (v18(constB52) <=> (~((~v19(constB52)) | (~v22(constB52))))),
% 16.80/12.05 inference(unit_resolution,[status(thm)],[30911, 260])).
% 16.80/12.05 tff(30913,plain,
% 16.80/12.05 ((~![VarCurr: $i] : ((~v4(VarCurr)) <=> v18(VarCurr))) | ((~v4(constB52)) <=> v18(constB52))),
% 16.80/12.05 inference(quant_inst,[status(thm)],[])).
% 16.80/12.05 tff(30914,plain,
% 16.80/12.05 ((~v4(constB52)) <=> v18(constB52)),
% 16.80/12.05 inference(unit_resolution,[status(thm)],[30913, 269])).
% 16.80/12.05 tff(30915,plain,
% 16.80/12.05 ((~![VarCurr: $i] : v4(VarCurr)) | v4(constB52)),
% 16.80/12.05 inference(quant_inst,[status(thm)],[])).
% 16.80/12.05 tff(30916,plain,
% 16.80/12.05 (v4(constB52)),
% 16.80/12.05 inference(unit_resolution,[status(thm)],[30915, 278])).
% 16.80/12.05 tff(30917,plain,
% 16.80/12.05 ((~((~v4(constB52)) <=> v18(constB52))) | (~v4(constB52)) | (~v18(constB52))),
% 16.80/12.05 inference(tautology,[status(thm)],[])).
% 16.80/12.05 tff(30918,plain,
% 16.80/12.05 (~v18(constB52)),
% 16.80/12.05 inference(unit_resolution,[status(thm)],[30917, 30916, 30914])).
% 16.80/12.05 tff(30919,plain,
% 16.80/12.05 ((~(v18(constB52) <=> (~((~v19(constB52)) | (~v22(constB52)))))) | v18(constB52) | ((~v19(constB52)) | (~v22(constB52)))),
% 16.80/12.05 inference(tautology,[status(thm)],[])).
% 16.80/12.05 tff(30920,plain,
% 16.80/12.05 ((~v19(constB52)) | (~v22(constB52))),
% 16.80/12.05 inference(unit_resolution,[status(thm)],[30919, 30918, 30912])).
% 16.80/12.05 tff(30921,plain,
% 16.80/12.05 ((~![VarCurr: $i] : (v22(VarCurr) <=> (v1(VarCurr) | v6(VarCurr)))) | (v22(constB52) <=> (v1(constB52) | v6(constB52)))),
% 16.80/12.05 inference(quant_inst,[status(thm)],[])).
% 16.80/12.05 tff(30922,plain,
% 16.80/12.05 (v22(constB52) <=> (v1(constB52) | v6(constB52))),
% 16.80/12.05 inference(unit_resolution,[status(thm)],[30921, 291])).
% 16.80/12.05 tff(30923,plain,
% 16.80/12.05 ((v1(constB52) | v6(constB52)) | (~v1(constB52))),
% 16.80/12.05 inference(tautology,[status(thm)],[])).
% 16.80/12.05 tff(30924,plain,
% 16.80/12.05 (v1(constB52) | v6(constB52)),
% 16.80/12.05 inference(unit_resolution,[status(thm)],[30923, 2618])).
% 16.80/12.05 tff(30925,plain,
% 16.80/12.05 ((~(v22(constB52) <=> (v1(constB52) | v6(constB52)))) | v22(constB52) | (~(v1(constB52) | v6(constB52)))),
% 16.80/12.05 inference(tautology,[status(thm)],[])).
% 16.80/12.05 tff(30926,plain,
% 16.80/12.05 ((~(v22(constB52) <=> (v1(constB52) | v6(constB52)))) | v22(constB52)),
% 16.80/12.05 inference(unit_resolution,[status(thm)],[30925, 30924])).
% 16.80/12.05 tff(30927,plain,
% 16.80/12.05 (v22(constB52)),
% 16.80/12.05 inference(unit_resolution,[status(thm)],[30926, 30922])).
% 16.80/12.05 tff(30928,plain,
% 16.80/12.05 ((~((~v19(constB52)) | (~v22(constB52)))) | (~v19(constB52)) | (~v22(constB52))),
% 16.80/12.05 inference(tautology,[status(thm)],[])).
% 16.80/12.05 tff(30929,plain,
% 16.80/12.05 ((~((~v19(constB52)) | (~v22(constB52)))) | (~v19(constB52))),
% 16.80/12.05 inference(unit_resolution,[status(thm)],[30928, 30927])).
% 16.80/12.05 tff(30930,plain,
% 16.80/12.05 (~v19(constB52)),
% 16.80/12.05 inference(unit_resolution,[status(thm)],[30929, 30920])).
% 16.80/12.05 tff(30931,plain,
% 16.80/12.05 ((~(v19(constB52) <=> (v20(constB52) | v21(constB52)))) | v19(constB52) | (~(v20(constB52) | v21(constB52)))),
% 16.80/12.05 inference(tautology,[status(thm)],[])).
% 16.80/12.05 tff(30932,plain,
% 16.80/12.05 (~(v20(constB52) | v21(constB52))),
% 16.80/12.05 inference(unit_resolution,[status(thm)],[30931, 30930, 30910])).
% 16.80/12.05 tff(30933,plain,
% 16.80/12.05 ((v20(constB52) | v21(constB52)) | (~v21(constB52))),
% 16.80/12.05 inference(tautology,[status(thm)],[])).
% 16.80/12.05 tff(30934,plain,
% 16.80/12.05 (~v21(constB52)),
% 16.80/12.05 inference(unit_resolution,[status(thm)],[30933, 30932])).
% 16.80/12.05 tff(30935,plain,
% 16.80/12.05 ((~((~v21(constB52)) <=> v6(constB52))) | v21(constB52) | v6(constB52)),
% 16.80/12.05 inference(tautology,[status(thm)],[])).
% 16.80/12.05 tff(30936,plain,
% 16.80/12.05 (v6(constB52)),
% 16.80/12.05 inference(unit_resolution,[status(thm)],[30935, 30934, 30908])).
% 16.80/12.05 tff(30937,plain,
% 16.80/12.05 ((~(v6(constB52) <=> v13(constB52))) | (~v6(constB52)) | v13(constB52)),
% 16.80/12.05 inference(tautology,[status(thm)],[])).
% 16.80/12.05 tff(30938,plain,
% 16.80/12.05 (v13(constB52)),
% 16.80/12.05 inference(unit_resolution,[status(thm)],[30937, 30936, 30906])).
% 16.80/12.05 tff(30939,plain,
% 16.80/12.05 ((~(v13(constB52) <=> v9(constB51))) | (~v13(constB52)) | v9(constB51)),
% 16.80/12.05 inference(tautology,[status(thm)],[])).
% 16.80/12.05 tff(30940,plain,
% 16.80/12.05 (v9(constB51)),
% 16.80/12.05 inference(unit_resolution,[status(thm)],[30939, 30938, 30904])).
% 16.80/12.05 tff(30941,plain,
% 16.80/12.05 ((~![VarCurr: $i] : ((~v39(VarCurr)) <=> v1(VarCurr))) | ((~v39(constB51)) <=> v1(constB51))),
% 16.80/12.05 inference(quant_inst,[status(thm)],[])).
% 16.80/12.05 tff(30942,plain,
% 16.80/12.05 ((~v39(constB51)) <=> v1(constB51)),
% 16.80/12.05 inference(unit_resolution,[status(thm)],[30941, 129])).
% 16.80/12.05 tff(30943,plain,
% 16.80/12.05 ((~((~v39(constB51)) <=> v1(constB51))) | v39(constB51) | v1(constB51)),
% 16.80/12.05 inference(tautology,[status(thm)],[])).
% 16.80/12.05 tff(30944,plain,
% 16.80/12.05 ((~((~v39(constB51)) <=> v1(constB51))) | v39(constB51)),
% 16.80/12.05 inference(unit_resolution,[status(thm)],[30943, 2610])).
% 16.80/12.05 tff(30945,plain,
% 16.80/12.05 (v39(constB51)),
% 16.80/12.05 inference(unit_resolution,[status(thm)],[30944, 30942])).
% 16.80/12.05 tff(30946,plain,
% 16.80/12.05 ((~((~v39(constB51)) | (~v9(constB51)))) | (~v39(constB51)) | (~v9(constB51))),
% 16.80/12.06 inference(tautology,[status(thm)],[])).
% 16.80/12.06 tff(30947,plain,
% 16.80/12.06 ((~((~v39(constB51)) | (~v9(constB51)))) | (~v9(constB51))),
% 16.80/12.06 inference(unit_resolution,[status(thm)],[30946, 30945])).
% 16.80/12.06 tff(30948,plain,
% 16.80/12.06 (~((~v39(constB51)) | (~v9(constB51)))),
% 16.80/12.06 inference(unit_resolution,[status(thm)],[30947, 30940])).
% 16.80/12.06 tff(30949,plain,
% 16.80/12.06 ((~(v197(constB51) <=> (~((~v39(constB51)) | (~v9(constB51)))))) | v197(constB51) | ((~v39(constB51)) | (~v9(constB51)))),
% 16.80/12.06 inference(tautology,[status(thm)],[])).
% 16.80/12.06 tff(30950,plain,
% 16.80/12.06 (v197(constB51)),
% 16.80/12.06 inference(unit_resolution,[status(thm)],[30949, 30948, 30900])).
% 16.80/12.06 tff(30951,plain,
% 16.80/12.06 ((v197(constB51) | v26(constB51)) | (~v197(constB51))),
% 16.80/12.06 inference(tautology,[status(thm)],[])).
% 16.80/12.06 tff(30952,plain,
% 16.80/12.06 (v197(constB51) | v26(constB51)),
% 16.80/12.06 inference(unit_resolution,[status(thm)],[30951, 30950])).
% 16.80/12.06 tff(30953,plain,
% 16.80/12.06 ((~(v196(constB51) <=> (v197(constB51) | v26(constB51)))) | v196(constB51) | (~(v197(constB51) | v26(constB51)))),
% 16.80/12.06 inference(tautology,[status(thm)],[])).
% 16.80/12.06 tff(30954,plain,
% 16.80/12.06 (v196(constB51)),
% 16.80/12.06 inference(unit_resolution,[status(thm)],[30953, 30952, 30898])).
% 16.80/12.06 tff(30955,plain,
% 16.80/12.06 ((~((~v195(constB51)) <=> v196(constB51))) | (~v195(constB51)) | (~v196(constB51))),
% 16.80/12.06 inference(tautology,[status(thm)],[])).
% 16.80/12.06 tff(30956,plain,
% 16.80/12.06 (~v195(constB51)),
% 16.80/12.06 inference(unit_resolution,[status(thm)],[30955, 30954, 30896])).
% 16.80/12.06 tff(30957,plain,
% 16.80/12.06 (((~v157(constB51)) | (~v195(constB51))) | v195(constB51)),
% 16.80/12.06 inference(tautology,[status(thm)],[])).
% 16.80/12.06 tff(30958,plain,
% 16.80/12.06 ((~v157(constB51)) | (~v195(constB51))),
% 16.80/12.06 inference(unit_resolution,[status(thm)],[30957, 30956])).
% 16.80/12.06 tff(30959,plain,
% 16.80/12.06 ((~(v194(constB51) <=> (~((~v157(constB51)) | (~v195(constB51)))))) | (~v194(constB51)) | (~((~v157(constB51)) | (~v195(constB51))))),
% 16.80/12.06 inference(tautology,[status(thm)],[])).
% 16.80/12.06 tff(30960,plain,
% 16.80/12.06 (~v194(constB51)),
% 16.80/12.06 inference(unit_resolution,[status(thm)],[30959, 30958, 30894])).
% 16.80/12.06 tff(30961,plain,
% 16.80/12.06 ((~![VarCurr: $i] : (v198(VarCurr) <=> (~((~v199(VarCurr)) | (~v200(VarCurr)))))) | (v198(constB51) <=> (~((~v199(constB51)) | (~v200(constB51)))))),
% 16.80/12.06 inference(quant_inst,[status(thm)],[])).
% 16.80/12.06 tff(30962,plain,
% 16.80/12.06 (v198(constB51) <=> (~((~v199(constB51)) | (~v200(constB51))))),
% 16.80/12.06 inference(unit_resolution,[status(thm)],[30961, 96])).
% 16.80/12.06 tff(30963,plain,
% 16.80/12.06 ((~![VarCurr: $i] : (v200(VarCurr) <=> (~((~v197(VarCurr)) | (~v201(VarCurr)))))) | (v200(constB51) <=> (~((~v197(constB51)) | (~v201(constB51)))))),
% 16.80/12.06 inference(quant_inst,[status(thm)],[])).
% 16.80/12.06 tff(30964,plain,
% 16.80/12.06 (v200(constB51) <=> (~((~v197(constB51)) | (~v201(constB51))))),
% 16.80/12.06 inference(unit_resolution,[status(thm)],[30963, 108])).
% 16.80/12.06 tff(30965,plain,
% 16.80/12.06 ((~![VarCurr: $i] : (v201(VarCurr) <=> (~((~v159(VarCurr)) | (~v161(VarCurr)))))) | (v201(constB51) <=> (~((~v159(constB51)) | (~v161(constB51)))))),
% 16.80/12.06 inference(quant_inst,[status(thm)],[])).
% 16.80/12.06 tff(30966,plain,
% 16.80/12.06 (v201(constB51) <=> (~((~v159(constB51)) | (~v161(constB51))))),
% 16.80/12.06 inference(unit_resolution,[status(thm)],[30965, 348])).
% 16.80/12.06 tff(30967,plain,
% 16.80/12.06 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v179(VarNext) <=> v180(VarNext)))) | ((~nextState(constB50, constB51)) | (v179(constB51) <=> v180(constB51)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v179(VarNext) <=> v180(VarNext)))) | (~nextState(constB50, constB51)) | (v179(constB51) <=> v180(constB51)))),
% 16.80/12.06 inference(rewrite,[status(thm)],[])).
% 16.80/12.06 tff(30968,plain,
% 16.80/12.06 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v179(VarNext) <=> v180(VarNext)))) | ((~nextState(constB50, constB51)) | (v179(constB51) <=> v180(constB51)))),
% 16.80/12.06 inference(quant_inst,[status(thm)],[])).
% 16.80/12.06 tff(30969,plain,
% 16.80/12.06 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v179(VarNext) <=> v180(VarNext)))) | (~nextState(constB50, constB51)) | (v179(constB51) <=> v180(constB51))),
% 16.80/12.06 inference(modus_ponens,[status(thm)],[30968, 30967])).
% 16.80/12.06 tff(30970,plain,
% 16.80/12.06 (v179(constB51) <=> v180(constB51)),
% 16.80/12.06 inference(unit_resolution,[status(thm)],[30969, 2649, 13536])).
% 16.80/12.06 tff(30971,plain,
% 16.80/12.06 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> (~((~v181(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB50, constB51)) | (v180(constB51) <=> (~((~v1(constB51)) | (~v181(constB51))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> (~((~v181(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB50, constB51)) | (v180(constB51) <=> (~((~v1(constB51)) | (~v181(constB51))))))),
% 16.80/12.06 inference(rewrite,[status(thm)],[])).
% 16.80/12.06 tff(30972,plain,
% 16.80/12.06 (((~nextState(constB50, constB51)) | (v180(constB51) <=> (~((~v181(constB51)) | (~v1(constB51)))))) <=> ((~nextState(constB50, constB51)) | (v180(constB51) <=> (~((~v1(constB51)) | (~v181(constB51))))))),
% 16.80/12.06 inference(rewrite,[status(thm)],[])).
% 16.80/12.06 tff(30973,plain,
% 16.80/12.06 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> (~((~v181(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB50, constB51)) | (v180(constB51) <=> (~((~v181(constB51)) | (~v1(constB51))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> (~((~v181(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB50, constB51)) | (v180(constB51) <=> (~((~v1(constB51)) | (~v181(constB51)))))))),
% 16.80/12.06 inference(monotonicity,[status(thm)],[30972])).
% 16.80/12.06 tff(30974,plain,
% 16.80/12.06 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> (~((~v181(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB50, constB51)) | (v180(constB51) <=> (~((~v181(constB51)) | (~v1(constB51))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> (~((~v181(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB50, constB51)) | (v180(constB51) <=> (~((~v1(constB51)) | (~v181(constB51))))))),
% 16.80/12.06 inference(transitivity,[status(thm)],[30973, 30971])).
% 16.80/12.06 tff(30975,plain,
% 16.80/12.06 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> (~((~v181(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB50, constB51)) | (v180(constB51) <=> (~((~v181(constB51)) | (~v1(constB51))))))),
% 16.80/12.06 inference(quant_inst,[status(thm)],[])).
% 16.80/12.06 tff(30976,plain,
% 16.80/12.06 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> (~((~v181(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB50, constB51)) | (v180(constB51) <=> (~((~v1(constB51)) | (~v181(constB51)))))),
% 16.80/12.06 inference(modus_ponens,[status(thm)],[30975, 30974])).
% 16.80/12.06 tff(30977,plain,
% 16.80/12.06 (v180(constB51) <=> (~((~v1(constB51)) | (~v181(constB51))))),
% 16.80/12.06 inference(unit_resolution,[status(thm)],[30976, 2649, 13556])).
% 16.80/12.06 tff(30978,plain,
% 16.80/12.06 (((~v1(constB51)) | (~v181(constB51))) | v1(constB51)),
% 16.80/12.06 inference(tautology,[status(thm)],[])).
% 16.80/12.06 tff(30979,plain,
% 16.80/12.06 ((~v1(constB51)) | (~v181(constB51))),
% 16.80/12.06 inference(unit_resolution,[status(thm)],[30978, 2610])).
% 16.80/12.06 tff(30980,plain,
% 16.80/12.06 ((~(v180(constB51) <=> (~((~v1(constB51)) | (~v181(constB51)))))) | (~v180(constB51)) | (~((~v1(constB51)) | (~v181(constB51))))),
% 16.80/12.06 inference(tautology,[status(thm)],[])).
% 16.80/12.06 tff(30981,plain,
% 16.80/12.06 ((~(v180(constB51) <=> (~((~v1(constB51)) | (~v181(constB51)))))) | (~v180(constB51))),
% 16.80/12.06 inference(unit_resolution,[status(thm)],[30980, 30979])).
% 16.80/12.06 tff(30982,plain,
% 16.80/12.06 (~v180(constB51)),
% 16.80/12.06 inference(unit_resolution,[status(thm)],[30981, 30977])).
% 16.80/12.06 tff(30983,plain,
% 16.80/12.06 ((~(v179(constB51) <=> v180(constB51))) | (~v179(constB51)) | v180(constB51)),
% 16.80/12.06 inference(tautology,[status(thm)],[])).
% 16.80/12.06 tff(30984,plain,
% 16.80/12.06 (~v179(constB51)),
% 16.80/12.06 inference(unit_resolution,[status(thm)],[30983, 30982, 30970])).
% 16.80/12.06 tff(30985,plain,
% 16.80/12.06 (((~![VarCurr: $i, VarNext: $i] : ((v159(VarNext) <=> v159(VarCurr)) | v179(VarNext) | (~nextState(VarCurr, VarNext)))) | ((~nextState(constB50, constB51)) | v179(constB51) | (v159(constB51) <=> v159(constB50)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((v159(VarNext) <=> v159(VarCurr)) | v179(VarNext) | (~nextState(VarCurr, VarNext)))) | (~nextState(constB50, constB51)) | v179(constB51) | (v159(constB51) <=> v159(constB50)))),
% 16.80/12.06 inference(rewrite,[status(thm)],[])).
% 16.80/12.06 tff(30986,plain,
% 16.80/12.06 (((v159(constB51) <=> v159(constB50)) | v179(constB51) | (~nextState(constB50, constB51))) <=> ((~nextState(constB50, constB51)) | v179(constB51) | (v159(constB51) <=> v159(constB50)))),
% 16.80/12.06 inference(rewrite,[status(thm)],[])).
% 16.80/12.06 tff(30987,plain,
% 16.80/12.06 (((~![VarCurr: $i, VarNext: $i] : ((v159(VarNext) <=> v159(VarCurr)) | v179(VarNext) | (~nextState(VarCurr, VarNext)))) | ((v159(constB51) <=> v159(constB50)) | v179(constB51) | (~nextState(constB50, constB51)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((v159(VarNext) <=> v159(VarCurr)) | v179(VarNext) | (~nextState(VarCurr, VarNext)))) | ((~nextState(constB50, constB51)) | v179(constB51) | (v159(constB51) <=> v159(constB50))))),
% 16.80/12.06 inference(monotonicity,[status(thm)],[30986])).
% 16.80/12.06 tff(30988,plain,
% 16.80/12.06 (((~![VarCurr: $i, VarNext: $i] : ((v159(VarNext) <=> v159(VarCurr)) | v179(VarNext) | (~nextState(VarCurr, VarNext)))) | ((v159(constB51) <=> v159(constB50)) | v179(constB51) | (~nextState(constB50, constB51)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((v159(VarNext) <=> v159(VarCurr)) | v179(VarNext) | (~nextState(VarCurr, VarNext)))) | (~nextState(constB50, constB51)) | v179(constB51) | (v159(constB51) <=> v159(constB50)))),
% 16.80/12.06 inference(transitivity,[status(thm)],[30987, 30985])).
% 16.80/12.06 tff(30989,plain,
% 16.80/12.06 ((~![VarCurr: $i, VarNext: $i] : ((v159(VarNext) <=> v159(VarCurr)) | v179(VarNext) | (~nextState(VarCurr, VarNext)))) | ((v159(constB51) <=> v159(constB50)) | v179(constB51) | (~nextState(constB50, constB51)))),
% 16.80/12.06 inference(quant_inst,[status(thm)],[])).
% 16.80/12.06 tff(30990,plain,
% 16.80/12.06 ((~![VarCurr: $i, VarNext: $i] : ((v159(VarNext) <=> v159(VarCurr)) | v179(VarNext) | (~nextState(VarCurr, VarNext)))) | (~nextState(constB50, constB51)) | v179(constB51) | (v159(constB51) <=> v159(constB50))),
% 16.80/12.06 inference(modus_ponens,[status(thm)],[30989, 30988])).
% 16.80/12.06 tff(30991,plain,
% 16.80/12.06 (v179(constB51) | (v159(constB51) <=> v159(constB50))),
% 16.80/12.06 inference(unit_resolution,[status(thm)],[30990, 2649, 13580])).
% 16.80/12.06 tff(30992,plain,
% 16.80/12.06 (v159(constB51) <=> v159(constB50)),
% 16.80/12.06 inference(unit_resolution,[status(thm)],[30991, 30984])).
% 16.80/12.06 tff(30993,plain,
% 16.80/12.06 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v179(VarNext) <=> v180(VarNext)))) | ((~nextState(constB49, constB50)) | (v179(constB50) <=> v180(constB50)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v179(VarNext) <=> v180(VarNext)))) | (~nextState(constB49, constB50)) | (v179(constB50) <=> v180(constB50)))),
% 16.80/12.06 inference(rewrite,[status(thm)],[])).
% 16.80/12.06 tff(30994,plain,
% 16.80/12.06 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v179(VarNext) <=> v180(VarNext)))) | ((~nextState(constB49, constB50)) | (v179(constB50) <=> v180(constB50)))),
% 16.80/12.06 inference(quant_inst,[status(thm)],[])).
% 16.80/12.06 tff(30995,plain,
% 16.80/12.06 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v179(VarNext) <=> v180(VarNext)))) | (~nextState(constB49, constB50)) | (v179(constB50) <=> v180(constB50))),
% 16.80/12.06 inference(modus_ponens,[status(thm)],[30994, 30993])).
% 16.80/12.06 tff(30996,plain,
% 16.80/12.06 (v179(constB50) <=> v180(constB50)),
% 16.80/12.06 inference(unit_resolution,[status(thm)],[30995, 2681, 13536])).
% 16.80/12.06 tff(30997,plain,
% 16.80/12.06 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> (~((~v181(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB49, constB50)) | (v180(constB50) <=> (~((~v1(constB50)) | (~v181(constB50))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> (~((~v181(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB49, constB50)) | (v180(constB50) <=> (~((~v1(constB50)) | (~v181(constB50))))))),
% 16.80/12.06 inference(rewrite,[status(thm)],[])).
% 16.80/12.06 tff(30998,plain,
% 16.80/12.06 (((~nextState(constB49, constB50)) | (v180(constB50) <=> (~((~v181(constB50)) | (~v1(constB50)))))) <=> ((~nextState(constB49, constB50)) | (v180(constB50) <=> (~((~v1(constB50)) | (~v181(constB50))))))),
% 16.80/12.06 inference(rewrite,[status(thm)],[])).
% 16.80/12.06 tff(30999,plain,
% 16.80/12.06 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> (~((~v181(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB49, constB50)) | (v180(constB50) <=> (~((~v181(constB50)) | (~v1(constB50))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> (~((~v181(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB49, constB50)) | (v180(constB50) <=> (~((~v1(constB50)) | (~v181(constB50)))))))),
% 16.80/12.06 inference(monotonicity,[status(thm)],[30998])).
% 16.80/12.06 tff(31000,plain,
% 16.80/12.06 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> (~((~v181(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB49, constB50)) | (v180(constB50) <=> (~((~v181(constB50)) | (~v1(constB50))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> (~((~v181(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB49, constB50)) | (v180(constB50) <=> (~((~v1(constB50)) | (~v181(constB50))))))),
% 16.80/12.06 inference(transitivity,[status(thm)],[30999, 30997])).
% 16.80/12.06 tff(31001,plain,
% 16.80/12.06 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> (~((~v181(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB49, constB50)) | (v180(constB50) <=> (~((~v181(constB50)) | (~v1(constB50))))))),
% 16.80/12.06 inference(quant_inst,[status(thm)],[])).
% 16.80/12.06 tff(31002,plain,
% 16.80/12.06 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> (~((~v181(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB49, constB50)) | (v180(constB50) <=> (~((~v1(constB50)) | (~v181(constB50)))))),
% 16.80/12.06 inference(modus_ponens,[status(thm)],[31001, 31000])).
% 16.80/12.06 tff(31003,plain,
% 16.80/12.06 (v180(constB50) <=> (~((~v1(constB50)) | (~v181(constB50))))),
% 16.80/12.06 inference(unit_resolution,[status(thm)],[31002, 2681, 13556])).
% 16.80/12.06 tff(31004,plain,
% 16.80/12.06 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v181(VarNext)) <=> v104(VarNext)))) | ((~nextState(constB49, constB50)) | ((~v181(constB50)) <=> v104(constB50)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v181(VarNext)) <=> v104(VarNext)))) | (~nextState(constB49, constB50)) | ((~v181(constB50)) <=> v104(constB50)))),
% 16.80/12.06 inference(rewrite,[status(thm)],[])).
% 16.80/12.06 tff(31005,plain,
% 16.80/12.06 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v181(VarNext)) <=> v104(VarNext)))) | ((~nextState(constB49, constB50)) | ((~v181(constB50)) <=> v104(constB50)))),
% 16.80/12.06 inference(quant_inst,[status(thm)],[])).
% 16.80/12.06 tff(31006,plain,
% 16.80/12.06 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v181(VarNext)) <=> v104(VarNext)))) | (~nextState(constB49, constB50)) | ((~v181(constB50)) <=> v104(constB50))),
% 16.80/12.06 inference(modus_ponens,[status(thm)],[31005, 31004])).
% 16.80/12.06 tff(31007,plain,
% 16.80/12.06 ((~v181(constB50)) <=> v104(constB50)),
% 16.80/12.06 inference(unit_resolution,[status(thm)],[31006, 2681, 13612])).
% 16.80/12.06 tff(31008,plain,
% 16.80/12.06 ((~((~v181(constB50)) <=> v104(constB50))) | v181(constB50) | v104(constB50)),
% 16.80/12.06 inference(tautology,[status(thm)],[])).
% 16.80/12.06 tff(31009,plain,
% 16.80/12.06 (v181(constB50)),
% 16.80/12.06 inference(unit_resolution,[status(thm)],[31008, 2706, 31007])).
% 16.80/12.06 tff(31010,plain,
% 16.80/12.06 ((~((~v1(constB50)) | (~v181(constB50)))) | (~v1(constB50)) | (~v181(constB50))),
% 16.80/12.06 inference(tautology,[status(thm)],[])).
% 16.80/12.06 tff(31011,plain,
% 16.80/12.06 ((~((~v1(constB50)) | (~v181(constB50)))) | (~v181(constB50))),
% 16.80/12.06 inference(unit_resolution,[status(thm)],[31010, 2711])).
% 16.80/12.06 tff(31012,plain,
% 16.80/12.06 (~((~v1(constB50)) | (~v181(constB50)))),
% 16.80/12.06 inference(unit_resolution,[status(thm)],[31011, 31009])).
% 16.80/12.06 tff(31013,plain,
% 16.80/12.06 ((~(v180(constB50) <=> (~((~v1(constB50)) | (~v181(constB50)))))) | v180(constB50) | ((~v1(constB50)) | (~v181(constB50)))),
% 16.80/12.06 inference(tautology,[status(thm)],[])).
% 16.80/12.06 tff(31014,plain,
% 16.80/12.06 (v180(constB50)),
% 16.80/12.06 inference(unit_resolution,[status(thm)],[31013, 31012, 31003])).
% 16.80/12.06 tff(31015,plain,
% 16.80/12.06 ((~(v179(constB50) <=> v180(constB50))) | v179(constB50) | (~v180(constB50))),
% 16.80/12.06 inference(tautology,[status(thm)],[])).
% 16.80/12.06 tff(31016,plain,
% 16.80/12.06 (v179(constB50)),
% 16.80/12.06 inference(unit_resolution,[status(thm)],[31015, 31014, 30996])).
% 16.80/12.06 tff(31017,plain,
% 16.80/12.06 (((~![VarNext: $i] : ((~v179(VarNext)) | (v159(VarNext) <=> v186(VarNext)))) | ((~v179(constB50)) | (v159(constB50) <=> v186(constB50)))) <=> ((~![VarNext: $i] : ((~v179(VarNext)) | (v159(VarNext) <=> v186(VarNext)))) | (~v179(constB50)) | (v159(constB50) <=> v186(constB50)))),
% 16.80/12.07 inference(rewrite,[status(thm)],[])).
% 16.80/12.07 tff(31018,plain,
% 16.80/12.07 ((~![VarNext: $i] : ((~v179(VarNext)) | (v159(VarNext) <=> v186(VarNext)))) | ((~v179(constB50)) | (v159(constB50) <=> v186(constB50)))),
% 16.80/12.07 inference(quant_inst,[status(thm)],[])).
% 16.80/12.07 tff(31019,plain,
% 16.80/12.07 ((~![VarNext: $i] : ((~v179(VarNext)) | (v159(VarNext) <=> v186(VarNext)))) | (~v179(constB50)) | (v159(constB50) <=> v186(constB50))),
% 16.80/12.07 inference(modus_ponens,[status(thm)],[31018, 31017])).
% 16.80/12.07 tff(31020,plain,
% 16.80/12.07 (v159(constB50) <=> v186(constB50)),
% 16.80/12.07 inference(unit_resolution,[status(thm)],[31019, 13648, 31016])).
% 16.80/12.07 tff(31021,plain,
% 16.80/12.07 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v186(VarNext) <=> v161(VarCurr)))) | ((~nextState(constB49, constB50)) | (v186(constB50) <=> v161(constB49)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v186(VarNext) <=> v161(VarCurr)))) | (~nextState(constB49, constB50)) | (v186(constB50) <=> v161(constB49)))),
% 16.80/12.07 inference(rewrite,[status(thm)],[])).
% 16.80/12.07 tff(31022,plain,
% 16.80/12.07 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v186(VarNext) <=> v161(VarCurr)))) | ((~nextState(constB49, constB50)) | (v186(constB50) <=> v161(constB49)))),
% 16.80/12.07 inference(quant_inst,[status(thm)],[])).
% 16.80/12.07 tff(31023,plain,
% 16.80/12.07 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v186(VarNext) <=> v161(VarCurr)))) | (~nextState(constB49, constB50)) | (v186(constB50) <=> v161(constB49))),
% 16.80/12.07 inference(modus_ponens,[status(thm)],[31022, 31021])).
% 16.80/12.07 tff(31024,plain,
% 16.80/12.07 (v186(constB50) <=> v161(constB49)),
% 16.80/12.07 inference(unit_resolution,[status(thm)],[31023, 2681, 13662])).
% 16.80/12.07 tff(31025,plain,
% 16.80/12.07 ((~![VarCurr: $i] : (v161(VarCurr) <=> v163(VarCurr))) | (v161(constB49) <=> v163(constB49))),
% 16.80/12.07 inference(quant_inst,[status(thm)],[])).
% 16.80/12.07 tff(31026,plain,
% 16.80/12.07 (v161(constB49) <=> v163(constB49)),
% 16.80/12.07 inference(unit_resolution,[status(thm)],[31025, 357])).
% 16.80/12.07 tff(31027,plain,
% 16.80/12.07 ((~![VarCurr: $i] : (v171(VarCurr) <=> (v142(VarCurr) | v150(VarCurr)))) | (v171(constB49) <=> (v142(constB49) | v150(constB49)))),
% 16.80/12.07 inference(quant_inst,[status(thm)],[])).
% 16.80/12.07 tff(31028,plain,
% 16.80/12.07 (v171(constB49) <=> (v142(constB49) | v150(constB49))),
% 16.80/12.07 inference(unit_resolution,[status(thm)],[31027, 369])).
% 16.80/12.07 tff(31029,plain,
% 16.80/12.07 ((~![VarCurr: $i] : (v142(VarCurr) <=> (v143(VarCurr) | v144(VarCurr)))) | (v142(constB49) <=> (v143(constB49) | v144(constB49)))),
% 16.80/12.07 inference(quant_inst,[status(thm)],[])).
% 16.80/12.07 tff(31030,plain,
% 16.80/12.07 (v142(constB49) <=> (v143(constB49) | v144(constB49))),
% 16.80/12.07 inference(unit_resolution,[status(thm)],[31029, 378])).
% 16.80/12.07 tff(31031,plain,
% 16.80/12.07 (((~![VarCurr: $i] : (v143(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)))))) | (v143(constB49) <=> (~(v88(constB49, bitIndex2) | (~v88(constB49, bitIndex1)) | v88(constB49, bitIndex0))))) <=> ((~![VarCurr: $i] : (v143(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)))))) | (v143(constB49) <=> (~(v88(constB49, bitIndex2) | (~v88(constB49, bitIndex1)) | v88(constB49, bitIndex0)))))),
% 16.80/12.07 inference(rewrite,[status(thm)],[])).
% 16.80/12.07 tff(31032,plain,
% 16.80/12.07 ((v143(constB49) <=> (~(v88(constB49, bitIndex0) | v88(constB49, bitIndex2) | (~v88(constB49, bitIndex1))))) <=> (v143(constB49) <=> (~(v88(constB49, bitIndex2) | (~v88(constB49, bitIndex1)) | v88(constB49, bitIndex0))))),
% 16.80/12.07 inference(rewrite,[status(thm)],[])).
% 16.80/12.07 tff(31033,plain,
% 16.80/12.07 (((~![VarCurr: $i] : (v143(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)))))) | (v143(constB49) <=> (~(v88(constB49, bitIndex0) | v88(constB49, bitIndex2) | (~v88(constB49, bitIndex1)))))) <=> ((~![VarCurr: $i] : (v143(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)))))) | (v143(constB49) <=> (~(v88(constB49, bitIndex2) | (~v88(constB49, bitIndex1)) | v88(constB49, bitIndex0)))))),
% 16.80/12.07 inference(monotonicity,[status(thm)],[31032])).
% 16.80/12.07 tff(31034,plain,
% 16.80/12.07 (((~![VarCurr: $i] : (v143(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)))))) | (v143(constB49) <=> (~(v88(constB49, bitIndex0) | v88(constB49, bitIndex2) | (~v88(constB49, bitIndex1)))))) <=> ((~![VarCurr: $i] : (v143(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)))))) | (v143(constB49) <=> (~(v88(constB49, bitIndex2) | (~v88(constB49, bitIndex1)) | v88(constB49, bitIndex0)))))),
% 16.80/12.07 inference(transitivity,[status(thm)],[31033, 31031])).
% 16.80/12.07 tff(31035,plain,
% 16.80/12.07 ((~![VarCurr: $i] : (v143(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)))))) | (v143(constB49) <=> (~(v88(constB49, bitIndex0) | v88(constB49, bitIndex2) | (~v88(constB49, bitIndex1)))))),
% 16.80/12.07 inference(quant_inst,[status(thm)],[])).
% 16.80/12.07 tff(31036,plain,
% 16.80/12.07 ((~![VarCurr: $i] : (v143(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)))))) | (v143(constB49) <=> (~(v88(constB49, bitIndex2) | (~v88(constB49, bitIndex1)) | v88(constB49, bitIndex0))))),
% 16.80/12.07 inference(modus_ponens,[status(thm)],[31035, 31034])).
% 16.80/12.07 tff(31037,plain,
% 16.80/12.07 (v143(constB49) <=> (~(v88(constB49, bitIndex2) | (~v88(constB49, bitIndex1)) | v88(constB49, bitIndex0)))),
% 16.80/12.07 inference(unit_resolution,[status(thm)],[31036, 20665])).
% 16.80/12.07 tff(31038,plain,
% 16.80/12.07 (((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | ((~less_3(bitIndex2)) | (v88(constB49, bitIndex2) <=> v90(constB49, bitIndex2)))) <=> ((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | (~less_3(bitIndex2)) | (v88(constB49, bitIndex2) <=> v90(constB49, bitIndex2)))),
% 16.80/12.07 inference(rewrite,[status(thm)],[])).
% 16.80/12.07 tff(31039,plain,
% 16.80/12.07 ((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | ((~less_3(bitIndex2)) | (v88(constB49, bitIndex2) <=> v90(constB49, bitIndex2)))),
% 16.80/12.07 inference(quant_inst,[status(thm)],[])).
% 16.80/12.07 tff(31040,plain,
% 16.80/12.07 ((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | (~less_3(bitIndex2)) | (v88(constB49, bitIndex2) <=> v90(constB49, bitIndex2))),
% 16.80/12.07 inference(modus_ponens,[status(thm)],[31039, 31038])).
% 16.80/12.07 tff(31041,plain,
% 16.80/12.07 (v88(constB49, bitIndex2) <=> v90(constB49, bitIndex2)),
% 16.80/12.07 inference(unit_resolution,[status(thm)],[31040, 413, 410])).
% 16.80/12.07 tff(31042,plain,
% 16.80/12.07 ((~(v88(constB49, bitIndex2) <=> v90(constB49, bitIndex2))) | (~v88(constB49, bitIndex2)) | v90(constB49, bitIndex2)),
% 16.80/12.07 inference(tautology,[status(thm)],[])).
% 16.80/12.07 tff(31043,plain,
% 16.80/12.07 (~v88(constB49, bitIndex2)),
% 16.80/12.07 inference(unit_resolution,[status(thm)],[31042, 9181, 31041])).
% 16.80/12.07 tff(31044,plain,
% 16.80/12.07 (((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | ((~less_3(bitIndex0)) | (v88(constB49, bitIndex0) <=> v90(constB49, bitIndex0)))) <=> ((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | (~less_3(bitIndex0)) | (v88(constB49, bitIndex0) <=> v90(constB49, bitIndex0)))),
% 16.80/12.07 inference(rewrite,[status(thm)],[])).
% 16.80/12.07 tff(31045,plain,
% 16.80/12.07 ((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | ((~less_3(bitIndex0)) | (v88(constB49, bitIndex0) <=> v90(constB49, bitIndex0)))),
% 16.80/12.07 inference(quant_inst,[status(thm)],[])).
% 16.80/12.07 tff(31046,plain,
% 16.80/12.07 ((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | (~less_3(bitIndex0)) | (v88(constB49, bitIndex0) <=> v90(constB49, bitIndex0))),
% 16.80/12.07 inference(modus_ponens,[status(thm)],[31045, 31044])).
% 16.80/12.07 tff(31047,plain,
% 16.80/12.07 (v88(constB49, bitIndex0) <=> v90(constB49, bitIndex0)),
% 16.80/12.07 inference(unit_resolution,[status(thm)],[31046, 5004, 410])).
% 16.80/12.07 tff(31048,plain,
% 16.80/12.07 ((~(v88(constB49, bitIndex0) <=> v90(constB49, bitIndex0))) | (~v88(constB49, bitIndex0)) | v90(constB49, bitIndex0)),
% 16.80/12.07 inference(tautology,[status(thm)],[])).
% 16.80/12.07 tff(31049,plain,
% 16.80/12.07 (~v88(constB49, bitIndex0)),
% 16.80/12.07 inference(unit_resolution,[status(thm)],[31048, 9212, 31047])).
% 16.80/12.07 tff(31050,plain,
% 16.80/12.07 (((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | ((~less_3(bitIndex1)) | (v88(constB49, bitIndex1) <=> v90(constB49, bitIndex1)))) <=> ((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | (~less_3(bitIndex1)) | (v88(constB49, bitIndex1) <=> v90(constB49, bitIndex1)))),
% 16.80/12.07 inference(rewrite,[status(thm)],[])).
% 16.80/12.07 tff(31051,plain,
% 16.80/12.07 ((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | ((~less_3(bitIndex1)) | (v88(constB49, bitIndex1) <=> v90(constB49, bitIndex1)))),
% 16.80/12.07 inference(quant_inst,[status(thm)],[])).
% 16.80/12.07 tff(31052,plain,
% 16.80/12.07 ((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | (~less_3(bitIndex1)) | (v88(constB49, bitIndex1) <=> v90(constB49, bitIndex1))),
% 16.80/12.07 inference(modus_ponens,[status(thm)],[31051, 31050])).
% 16.80/12.07 tff(31053,plain,
% 16.80/12.07 (v88(constB49, bitIndex1) <=> v90(constB49, bitIndex1)),
% 16.80/12.07 inference(unit_resolution,[status(thm)],[31052, 5017, 410])).
% 16.80/12.07 tff(31054,plain,
% 16.80/12.07 ((~(v88(constB49, bitIndex1) <=> v90(constB49, bitIndex1))) | v88(constB49, bitIndex1) | (~v90(constB49, bitIndex1))),
% 16.80/12.07 inference(tautology,[status(thm)],[])).
% 16.80/12.07 tff(31055,plain,
% 16.80/12.07 (v88(constB49, bitIndex1)),
% 16.80/12.07 inference(unit_resolution,[status(thm)],[31054, 9243, 31053])).
% 16.80/12.07 tff(31056,plain,
% 16.80/12.07 ((~(v88(constB49, bitIndex2) | (~v88(constB49, bitIndex1)) | v88(constB49, bitIndex0))) | v88(constB49, bitIndex2) | (~v88(constB49, bitIndex1)) | v88(constB49, bitIndex0)),
% 16.80/12.07 inference(tautology,[status(thm)],[])).
% 16.80/12.07 tff(31057,plain,
% 16.80/12.07 (~(v88(constB49, bitIndex2) | (~v88(constB49, bitIndex1)) | v88(constB49, bitIndex0))),
% 16.80/12.07 inference(unit_resolution,[status(thm)],[31056, 31055, 31049, 31043])).
% 16.80/12.07 tff(31058,plain,
% 16.80/12.07 ((~(v143(constB49) <=> (~(v88(constB49, bitIndex2) | (~v88(constB49, bitIndex1)) | v88(constB49, bitIndex0))))) | v143(constB49) | (v88(constB49, bitIndex2) | (~v88(constB49, bitIndex1)) | v88(constB49, bitIndex0))),
% 16.80/12.07 inference(tautology,[status(thm)],[])).
% 16.80/12.07 tff(31059,plain,
% 16.80/12.07 (v143(constB49)),
% 16.80/12.07 inference(unit_resolution,[status(thm)],[31058, 31057, 31037])).
% 16.80/12.07 tff(31060,plain,
% 16.80/12.07 ((v143(constB49) | v144(constB49)) | (~v143(constB49))),
% 16.80/12.07 inference(tautology,[status(thm)],[])).
% 16.80/12.07 tff(31061,plain,
% 16.80/12.07 (v143(constB49) | v144(constB49)),
% 16.80/12.07 inference(unit_resolution,[status(thm)],[31060, 31059])).
% 16.80/12.07 tff(31062,plain,
% 16.80/12.07 ((~(v142(constB49) <=> (v143(constB49) | v144(constB49)))) | v142(constB49) | (~(v143(constB49) | v144(constB49)))),
% 16.80/12.07 inference(tautology,[status(thm)],[])).
% 16.80/12.07 tff(31063,plain,
% 16.80/12.07 (v142(constB49)),
% 16.80/12.07 inference(unit_resolution,[status(thm)],[31062, 31061, 31030])).
% 16.80/12.07 tff(31064,plain,
% 16.80/12.07 ((v142(constB49) | v150(constB49)) | (~v142(constB49))),
% 16.80/12.07 inference(tautology,[status(thm)],[])).
% 16.80/12.07 tff(31065,plain,
% 16.80/12.07 (v142(constB49) | v150(constB49)),
% 16.80/12.07 inference(unit_resolution,[status(thm)],[31064, 31063])).
% 16.80/12.07 tff(31066,plain,
% 16.80/12.07 ((~(v171(constB49) <=> (v142(constB49) | v150(constB49)))) | v171(constB49) | (~(v142(constB49) | v150(constB49)))),
% 16.80/12.07 inference(tautology,[status(thm)],[])).
% 16.80/12.07 tff(31067,plain,
% 16.80/12.07 (v171(constB49)),
% 16.80/12.07 inference(unit_resolution,[status(thm)],[31066, 31065, 31028])).
% 16.80/12.07 tff(31068,plain,
% 16.80/12.07 (((~![VarCurr: $i] : ((~v171(VarCurr)) | (~v170(VarCurr)))) | ((~v170(constB49)) | (~v171(constB49)))) <=> ((~![VarCurr: $i] : ((~v171(VarCurr)) | (~v170(VarCurr)))) | (~v170(constB49)) | (~v171(constB49)))),
% 16.80/12.07 inference(rewrite,[status(thm)],[])).
% 16.80/12.07 tff(31069,plain,
% 16.80/12.07 (((~v171(constB49)) | (~v170(constB49))) <=> ((~v170(constB49)) | (~v171(constB49)))),
% 16.80/12.07 inference(rewrite,[status(thm)],[])).
% 16.80/12.07 tff(31070,plain,
% 16.80/12.07 (((~![VarCurr: $i] : ((~v171(VarCurr)) | (~v170(VarCurr)))) | ((~v171(constB49)) | (~v170(constB49)))) <=> ((~![VarCurr: $i] : ((~v171(VarCurr)) | (~v170(VarCurr)))) | ((~v170(constB49)) | (~v171(constB49))))),
% 16.80/12.07 inference(monotonicity,[status(thm)],[31069])).
% 16.80/12.07 tff(31071,plain,
% 16.80/12.07 (((~![VarCurr: $i] : ((~v171(VarCurr)) | (~v170(VarCurr)))) | ((~v171(constB49)) | (~v170(constB49)))) <=> ((~![VarCurr: $i] : ((~v171(VarCurr)) | (~v170(VarCurr)))) | (~v170(constB49)) | (~v171(constB49)))),
% 16.80/12.07 inference(transitivity,[status(thm)],[31070, 31068])).
% 16.80/12.07 tff(31072,plain,
% 16.80/12.07 ((~![VarCurr: $i] : ((~v171(VarCurr)) | (~v170(VarCurr)))) | ((~v171(constB49)) | (~v170(constB49)))),
% 16.80/12.07 inference(quant_inst,[status(thm)],[])).
% 16.80/12.07 tff(31073,plain,
% 16.80/12.07 ((~![VarCurr: $i] : ((~v171(VarCurr)) | (~v170(VarCurr)))) | (~v170(constB49)) | (~v171(constB49))),
% 16.80/12.07 inference(modus_ponens,[status(thm)],[31072, 31071])).
% 16.80/12.07 tff(31074,plain,
% 16.80/12.07 ((~v170(constB49)) | (~v171(constB49))),
% 16.80/12.07 inference(unit_resolution,[status(thm)],[31073, 13061])).
% 16.80/12.07 tff(31075,plain,
% 16.80/12.07 (~v170(constB49)),
% 16.80/12.07 inference(unit_resolution,[status(thm)],[31074, 31067])).
% 16.80/12.07 tff(31076,plain,
% 16.80/12.07 ((~![VarCurr: $i] : (v166(VarCurr) <=> (v145(VarCurr) | v167(VarCurr)))) | (v166(constB49) <=> (v145(constB49) | v167(constB49)))),
% 16.80/12.07 inference(quant_inst,[status(thm)],[])).
% 16.80/12.07 tff(31077,plain,
% 16.80/12.07 (v166(constB49) <=> (v145(constB49) | v167(constB49))),
% 16.80/12.07 inference(unit_resolution,[status(thm)],[31076, 13079])).
% 16.80/12.07 tff(31078,plain,
% 16.80/12.07 ((~![VarCurr: $i] : (v167(VarCurr) <=> (v142(VarCurr) | v168(VarCurr)))) | (v167(constB49) <=> (v142(constB49) | v168(constB49)))),
% 16.80/12.07 inference(quant_inst,[status(thm)],[])).
% 16.80/12.07 tff(31079,plain,
% 16.80/12.07 (v167(constB49) <=> (v142(constB49) | v168(constB49))),
% 16.80/12.07 inference(unit_resolution,[status(thm)],[31078, 13091])).
% 16.80/12.07 tff(31080,plain,
% 16.80/12.07 ((v142(constB49) | v168(constB49)) | (~v142(constB49))),
% 16.80/12.07 inference(tautology,[status(thm)],[])).
% 16.80/12.07 tff(31081,plain,
% 16.80/12.07 (v142(constB49) | v168(constB49)),
% 16.80/12.07 inference(unit_resolution,[status(thm)],[31080, 31063])).
% 16.80/12.07 tff(31082,plain,
% 16.80/12.07 ((~(v167(constB49) <=> (v142(constB49) | v168(constB49)))) | v167(constB49) | (~(v142(constB49) | v168(constB49)))),
% 16.80/12.07 inference(tautology,[status(thm)],[])).
% 16.80/12.07 tff(31083,plain,
% 16.80/12.07 (v167(constB49)),
% 16.80/12.07 inference(unit_resolution,[status(thm)],[31082, 31081, 31079])).
% 16.80/12.07 tff(31084,plain,
% 16.80/12.07 ((v145(constB49) | v167(constB49)) | (~v167(constB49))),
% 16.80/12.07 inference(tautology,[status(thm)],[])).
% 16.80/12.07 tff(31085,plain,
% 16.80/12.07 (v145(constB49) | v167(constB49)),
% 16.80/12.07 inference(unit_resolution,[status(thm)],[31084, 31083])).
% 16.80/12.07 tff(31086,plain,
% 16.80/12.07 ((~(v166(constB49) <=> (v145(constB49) | v167(constB49)))) | v166(constB49) | (~(v145(constB49) | v167(constB49)))),
% 16.80/12.07 inference(tautology,[status(thm)],[])).
% 16.80/12.07 tff(31087,plain,
% 16.80/12.07 (v166(constB49)),
% 16.80/12.07 inference(unit_resolution,[status(thm)],[31086, 31085, 31077])).
% 16.80/12.07 tff(31088,plain,
% 16.80/12.07 (((~![VarNext: $i] : ((~v166(VarNext)) | (v163(VarNext) <=> v170(VarNext)))) | ((~v166(constB49)) | (v163(constB49) <=> v170(constB49)))) <=> ((~![VarNext: $i] : ((~v166(VarNext)) | (v163(VarNext) <=> v170(VarNext)))) | (~v166(constB49)) | (v163(constB49) <=> v170(constB49)))),
% 16.80/12.07 inference(rewrite,[status(thm)],[])).
% 16.80/12.07 tff(31089,plain,
% 16.80/12.07 ((~![VarNext: $i] : ((~v166(VarNext)) | (v163(VarNext) <=> v170(VarNext)))) | ((~v166(constB49)) | (v163(constB49) <=> v170(constB49)))),
% 16.80/12.07 inference(quant_inst,[status(thm)],[])).
% 16.80/12.07 tff(31090,plain,
% 16.80/12.07 ((~![VarNext: $i] : ((~v166(VarNext)) | (v163(VarNext) <=> v170(VarNext)))) | (~v166(constB49)) | (v163(constB49) <=> v170(constB49))),
% 16.80/12.07 inference(modus_ponens,[status(thm)],[31089, 31088])).
% 16.80/12.07 tff(31091,plain,
% 16.80/12.07 ((~v166(constB49)) | (v163(constB49) <=> v170(constB49))),
% 16.80/12.07 inference(unit_resolution,[status(thm)],[31090, 13111])).
% 16.80/12.07 tff(31092,plain,
% 16.80/12.07 (v163(constB49) <=> v170(constB49)),
% 16.80/12.07 inference(unit_resolution,[status(thm)],[31091, 31087])).
% 16.80/12.07 tff(31093,plain,
% 16.80/12.07 ((~(v163(constB49) <=> v170(constB49))) | (~v163(constB49)) | v170(constB49)),
% 16.80/12.07 inference(tautology,[status(thm)],[])).
% 16.80/12.07 tff(31094,plain,
% 16.80/12.07 (~v163(constB49)),
% 16.80/12.07 inference(unit_resolution,[status(thm)],[31093, 31092, 31075])).
% 16.80/12.07 tff(31095,plain,
% 16.80/12.07 ((~(v161(constB49) <=> v163(constB49))) | (~v161(constB49)) | v163(constB49)),
% 16.80/12.07 inference(tautology,[status(thm)],[])).
% 16.80/12.07 tff(31096,plain,
% 16.80/12.07 (~v161(constB49)),
% 16.80/12.07 inference(unit_resolution,[status(thm)],[31095, 31094, 31026])).
% 16.80/12.07 tff(31097,plain,
% 16.80/12.07 ((~(v186(constB50) <=> v161(constB49))) | (~v186(constB50)) | v161(constB49)),
% 16.80/12.08 inference(tautology,[status(thm)],[])).
% 16.80/12.08 tff(31098,plain,
% 16.80/12.08 (~v186(constB50)),
% 16.80/12.08 inference(unit_resolution,[status(thm)],[31097, 31096, 31024])).
% 16.80/12.08 tff(31099,plain,
% 16.80/12.08 ((~(v159(constB50) <=> v186(constB50))) | (~v159(constB50)) | v186(constB50)),
% 16.80/12.08 inference(tautology,[status(thm)],[])).
% 16.80/12.08 tff(31100,plain,
% 16.80/12.08 (~v159(constB50)),
% 16.80/12.08 inference(unit_resolution,[status(thm)],[31099, 31098, 31020])).
% 16.80/12.08 tff(31101,plain,
% 16.80/12.08 ((~(v159(constB51) <=> v159(constB50))) | (~v159(constB51)) | v159(constB50)),
% 16.80/12.08 inference(tautology,[status(thm)],[])).
% 16.80/12.08 tff(31102,plain,
% 16.80/12.08 (~v159(constB51)),
% 16.80/12.08 inference(unit_resolution,[status(thm)],[31101, 31100, 30992])).
% 16.80/12.08 tff(31103,plain,
% 16.80/12.08 (((~v159(constB51)) | (~v161(constB51))) | v159(constB51)),
% 16.80/12.08 inference(tautology,[status(thm)],[])).
% 16.80/12.08 tff(31104,plain,
% 16.80/12.08 ((~v159(constB51)) | (~v161(constB51))),
% 16.80/12.08 inference(unit_resolution,[status(thm)],[31103, 31102])).
% 16.80/12.08 tff(31105,plain,
% 16.80/12.08 ((~(v201(constB51) <=> (~((~v159(constB51)) | (~v161(constB51)))))) | (~v201(constB51)) | (~((~v159(constB51)) | (~v161(constB51))))),
% 16.80/12.08 inference(tautology,[status(thm)],[])).
% 16.80/12.08 tff(31106,plain,
% 16.80/12.08 (~v201(constB51)),
% 16.80/12.08 inference(unit_resolution,[status(thm)],[31105, 31104, 30966])).
% 16.80/12.08 tff(31107,plain,
% 16.80/12.08 (((~v197(constB51)) | (~v201(constB51))) | v201(constB51)),
% 16.80/12.08 inference(tautology,[status(thm)],[])).
% 16.80/12.08 tff(31108,plain,
% 16.80/12.08 ((~v197(constB51)) | (~v201(constB51))),
% 16.80/12.08 inference(unit_resolution,[status(thm)],[31107, 31106])).
% 16.80/12.08 tff(31109,plain,
% 16.80/12.08 ((~(v200(constB51) <=> (~((~v197(constB51)) | (~v201(constB51)))))) | (~v200(constB51)) | (~((~v197(constB51)) | (~v201(constB51))))),
% 16.80/12.08 inference(tautology,[status(thm)],[])).
% 16.80/12.08 tff(31110,plain,
% 16.80/12.08 (~v200(constB51)),
% 16.80/12.08 inference(unit_resolution,[status(thm)],[31109, 31108, 30964])).
% 16.80/12.08 tff(31111,plain,
% 16.80/12.08 (((~v199(constB51)) | (~v200(constB51))) | v200(constB51)),
% 16.80/12.08 inference(tautology,[status(thm)],[])).
% 16.80/12.08 tff(31112,plain,
% 16.80/12.08 ((~v199(constB51)) | (~v200(constB51))),
% 16.80/12.08 inference(unit_resolution,[status(thm)],[31111, 31110])).
% 16.80/12.08 tff(31113,plain,
% 16.80/12.08 ((~(v198(constB51) <=> (~((~v199(constB51)) | (~v200(constB51)))))) | (~v198(constB51)) | (~((~v199(constB51)) | (~v200(constB51))))),
% 16.80/12.08 inference(tautology,[status(thm)],[])).
% 16.80/12.08 tff(31114,plain,
% 16.80/12.08 (~v198(constB51)),
% 16.80/12.08 inference(unit_resolution,[status(thm)],[31113, 31112, 30962])).
% 16.80/12.08 tff(31115,plain,
% 16.80/12.08 ((~(v194(constB51) | v198(constB51))) | v194(constB51) | v198(constB51)),
% 16.80/12.08 inference(tautology,[status(thm)],[])).
% 16.80/12.08 tff(31116,plain,
% 16.80/12.08 (~(v194(constB51) | v198(constB51))),
% 16.80/12.08 inference(unit_resolution,[status(thm)],[31115, 31114, 30960])).
% 16.80/12.08 tff(31117,plain,
% 16.80/12.08 ((~(v191(constB51) <=> (v194(constB51) | v198(constB51)))) | (~v191(constB51)) | (v194(constB51) | v198(constB51))),
% 16.80/12.08 inference(tautology,[status(thm)],[])).
% 16.80/12.08 tff(31118,plain,
% 16.80/12.08 (~v191(constB51)),
% 16.80/12.08 inference(unit_resolution,[status(thm)],[31117, 31116, 30887])).
% 16.80/12.08 tff(31119,plain,
% 16.80/12.08 ((~(v193(constB52) <=> v191(constB51))) | (~v193(constB52)) | v191(constB51)),
% 16.80/12.08 inference(tautology,[status(thm)],[])).
% 16.80/12.08 tff(31120,plain,
% 16.80/12.08 (~v193(constB52)),
% 16.80/12.08 inference(unit_resolution,[status(thm)],[31119, 31118, 30885])).
% 16.80/12.08 tff(31121,plain,
% 16.80/12.08 ((~(v157(constB52) <=> v193(constB52))) | (~v157(constB52)) | v193(constB52)),
% 16.80/12.08 inference(tautology,[status(thm)],[])).
% 16.80/12.08 tff(31122,plain,
% 16.80/12.08 (~v157(constB52)),
% 16.80/12.08 inference(unit_resolution,[status(thm)],[31121, 31120, 30881])).
% 16.80/12.08 tff(31123,plain,
% 16.80/12.08 (((~v157(constB52)) | (~v195(constB52))) | v157(constB52)),
% 16.80/12.08 inference(tautology,[status(thm)],[])).
% 16.80/12.08 tff(31124,plain,
% 16.80/12.08 ((~v157(constB52)) | (~v195(constB52))),
% 16.80/12.08 inference(unit_resolution,[status(thm)],[31123, 31122])).
% 16.80/12.08 tff(31125,plain,
% 16.80/12.08 ((~(v194(constB52) <=> (~((~v157(constB52)) | (~v195(constB52)))))) | (~v194(constB52)) | (~((~v157(constB52)) | (~v195(constB52))))),
% 16.80/12.08 inference(tautology,[status(thm)],[])).
% 16.80/12.08 tff(31126,plain,
% 16.80/12.08 (~v194(constB52)),
% 16.80/12.08 inference(unit_resolution,[status(thm)],[31125, 31124, 30879])).
% 16.80/12.08 tff(31127,plain,
% 16.80/12.08 ((~(v194(constB52) | v198(constB52))) | v194(constB52) | v198(constB52)),
% 16.80/12.08 inference(tautology,[status(thm)],[])).
% 16.80/12.08 tff(31128,plain,
% 16.80/12.08 (~(v194(constB52) | v198(constB52))),
% 16.80/12.08 inference(unit_resolution,[status(thm)],[31127, 31126, 30872])).
% 16.80/12.08 tff(31129,plain,
% 16.80/12.08 ((~(v191(constB52) <=> (v194(constB52) | v198(constB52)))) | (~v191(constB52)) | (v194(constB52) | v198(constB52))),
% 16.80/12.08 inference(tautology,[status(thm)],[])).
% 16.80/12.08 tff(31130,plain,
% 16.80/12.08 (~v191(constB52)),
% 16.80/12.08 inference(unit_resolution,[status(thm)],[31129, 31128, 30847])).
% 16.80/12.08 tff(31131,plain,
% 16.80/12.08 ((~(v193(constB53) <=> v191(constB52))) | (~v193(constB53)) | v191(constB52)),
% 16.80/12.08 inference(tautology,[status(thm)],[])).
% 16.80/12.08 tff(31132,plain,
% 16.80/12.08 (~v193(constB53)),
% 16.80/12.08 inference(unit_resolution,[status(thm)],[31131, 31130, 30845])).
% 16.80/12.08 tff(31133,plain,
% 16.80/12.08 ($false),
% 16.80/12.08 inference(unit_resolution,[status(thm)],[31132, 30841])).
% 16.80/12.08 tff(31134,plain,(~(constB53 = VarCurr!0)), inference(lemma,lemma(discharge,[]))).
% 16.80/12.08 tff(31135,assumption,(constB65 = VarCurr!0), introduced(assumption)).
% 16.80/12.08 tff(31136,plain,
% 16.80/12.08 (v86(constB65) <=> v86(VarCurr!0)),
% 16.80/12.08 inference(monotonicity,[status(thm)],[31135])).
% 16.80/12.08 tff(31137,plain,
% 16.80/12.08 (v86(VarCurr!0) <=> v86(constB65)),
% 16.80/12.08 inference(symmetry,[status(thm)],[31136])).
% 16.80/12.08 tff(31138,plain,
% 16.80/12.08 ((~v86(VarCurr!0)) <=> (~v86(constB65))),
% 16.80/12.08 inference(monotonicity,[status(thm)],[31137])).
% 16.80/12.08 tff(31139,plain,
% 16.80/12.08 (~v86(constB65)),
% 16.80/12.08 inference(modus_ponens,[status(thm)],[20649, 31138])).
% 16.80/12.08 tff(31140,plain,
% 16.80/12.08 ((~![VarCurr: $i] : (v142(VarCurr) <=> (v143(VarCurr) | v144(VarCurr)))) | (v142(constB65) <=> (v143(constB65) | v144(constB65)))),
% 16.80/12.08 inference(quant_inst,[status(thm)],[])).
% 16.80/12.08 tff(31141,plain,
% 16.80/12.08 (v142(constB65) <=> (v143(constB65) | v144(constB65))),
% 16.80/12.08 inference(unit_resolution,[status(thm)],[31140, 378])).
% 16.80/12.08 tff(31142,plain,
% 16.80/12.08 (((~![VarCurr: $i] : (v144(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex2)))))) | (v144(constB65) <=> (~((~v88(constB65, bitIndex2)) | (~v88(constB65, bitIndex1)) | v88(constB65, bitIndex0))))) <=> ((~![VarCurr: $i] : (v144(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex2)))))) | (v144(constB65) <=> (~((~v88(constB65, bitIndex2)) | (~v88(constB65, bitIndex1)) | v88(constB65, bitIndex0)))))),
% 16.80/12.08 inference(rewrite,[status(thm)],[])).
% 16.80/12.08 tff(31143,plain,
% 16.80/12.08 ((v144(constB65) <=> (~(v88(constB65, bitIndex0) | (~v88(constB65, bitIndex1)) | (~v88(constB65, bitIndex2))))) <=> (v144(constB65) <=> (~((~v88(constB65, bitIndex2)) | (~v88(constB65, bitIndex1)) | v88(constB65, bitIndex0))))),
% 16.80/12.08 inference(rewrite,[status(thm)],[])).
% 16.80/12.08 tff(31144,plain,
% 16.80/12.08 (((~![VarCurr: $i] : (v144(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex2)))))) | (v144(constB65) <=> (~(v88(constB65, bitIndex0) | (~v88(constB65, bitIndex1)) | (~v88(constB65, bitIndex2)))))) <=> ((~![VarCurr: $i] : (v144(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex2)))))) | (v144(constB65) <=> (~((~v88(constB65, bitIndex2)) | (~v88(constB65, bitIndex1)) | v88(constB65, bitIndex0)))))),
% 16.80/12.08 inference(monotonicity,[status(thm)],[31143])).
% 16.80/12.08 tff(31145,plain,
% 16.80/12.08 (((~![VarCurr: $i] : (v144(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex2)))))) | (v144(constB65) <=> (~(v88(constB65, bitIndex0) | (~v88(constB65, bitIndex1)) | (~v88(constB65, bitIndex2)))))) <=> ((~![VarCurr: $i] : (v144(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex2)))))) | (v144(constB65) <=> (~((~v88(constB65, bitIndex2)) | (~v88(constB65, bitIndex1)) | v88(constB65, bitIndex0)))))),
% 16.80/12.08 inference(transitivity,[status(thm)],[31144, 31142])).
% 16.80/12.08 tff(31146,plain,
% 16.80/12.08 ((~![VarCurr: $i] : (v144(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex2)))))) | (v144(constB65) <=> (~(v88(constB65, bitIndex0) | (~v88(constB65, bitIndex1)) | (~v88(constB65, bitIndex2)))))),
% 16.80/12.08 inference(quant_inst,[status(thm)],[])).
% 16.80/12.08 tff(31147,plain,
% 16.80/12.08 ((~![VarCurr: $i] : (v144(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex2)))))) | (v144(constB65) <=> (~((~v88(constB65, bitIndex2)) | (~v88(constB65, bitIndex1)) | v88(constB65, bitIndex0))))),
% 16.88/12.08 inference(modus_ponens,[status(thm)],[31146, 31145])).
% 16.88/12.08 tff(31148,plain,
% 16.88/12.08 (v144(constB65) <=> (~((~v88(constB65, bitIndex2)) | (~v88(constB65, bitIndex1)) | v88(constB65, bitIndex0)))),
% 16.88/12.08 inference(unit_resolution,[status(thm)],[31147, 393])).
% 16.88/12.08 tff(31149,plain,
% 16.88/12.08 (((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | ((~less_3(bitIndex2)) | (v88(constB65, bitIndex2) <=> v90(constB65, bitIndex2)))) <=> ((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | (~less_3(bitIndex2)) | (v88(constB65, bitIndex2) <=> v90(constB65, bitIndex2)))),
% 16.88/12.08 inference(rewrite,[status(thm)],[])).
% 16.88/12.08 tff(31150,plain,
% 16.88/12.08 ((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | ((~less_3(bitIndex2)) | (v88(constB65, bitIndex2) <=> v90(constB65, bitIndex2)))),
% 16.88/12.08 inference(quant_inst,[status(thm)],[])).
% 16.88/12.08 tff(31151,plain,
% 16.88/12.08 ((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | (~less_3(bitIndex2)) | (v88(constB65, bitIndex2) <=> v90(constB65, bitIndex2))),
% 16.88/12.08 inference(modus_ponens,[status(thm)],[31150, 31149])).
% 16.88/12.08 tff(31152,plain,
% 16.88/12.08 (v88(constB65, bitIndex2) <=> v90(constB65, bitIndex2)),
% 16.88/12.08 inference(unit_resolution,[status(thm)],[31151, 413, 410])).
% 16.88/12.08 tff(31153,plain,
% 16.88/12.08 ((~(v88(constB65, bitIndex2) <=> v90(constB65, bitIndex2))) | v88(constB65, bitIndex2) | (~v90(constB65, bitIndex2))),
% 16.88/12.08 inference(tautology,[status(thm)],[])).
% 16.88/12.08 tff(31154,plain,
% 16.88/12.08 (v88(constB65, bitIndex2)),
% 16.88/12.08 inference(unit_resolution,[status(thm)],[31153, 10473, 31152])).
% 16.88/12.08 tff(31155,plain,
% 16.88/12.08 (((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | ((~less_3(bitIndex0)) | (v88(constB65, bitIndex0) <=> v90(constB65, bitIndex0)))) <=> ((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | (~less_3(bitIndex0)) | (v88(constB65, bitIndex0) <=> v90(constB65, bitIndex0)))),
% 16.88/12.08 inference(rewrite,[status(thm)],[])).
% 16.88/12.08 tff(31156,plain,
% 16.88/12.08 ((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | ((~less_3(bitIndex0)) | (v88(constB65, bitIndex0) <=> v90(constB65, bitIndex0)))),
% 16.88/12.08 inference(quant_inst,[status(thm)],[])).
% 16.88/12.08 tff(31157,plain,
% 16.88/12.08 ((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | (~less_3(bitIndex0)) | (v88(constB65, bitIndex0) <=> v90(constB65, bitIndex0))),
% 16.88/12.08 inference(modus_ponens,[status(thm)],[31156, 31155])).
% 16.88/12.08 tff(31158,plain,
% 16.88/12.08 (v88(constB65, bitIndex0) <=> v90(constB65, bitIndex0)),
% 16.88/12.08 inference(unit_resolution,[status(thm)],[31157, 5004, 410])).
% 16.88/12.08 tff(31159,plain,
% 16.88/12.08 ((~(v88(constB65, bitIndex0) <=> v90(constB65, bitIndex0))) | (~v88(constB65, bitIndex0)) | v90(constB65, bitIndex0)),
% 16.88/12.08 inference(tautology,[status(thm)],[])).
% 16.88/12.08 tff(31160,plain,
% 16.88/12.08 (~v88(constB65, bitIndex0)),
% 16.88/12.08 inference(unit_resolution,[status(thm)],[31159, 10504, 31158])).
% 16.88/12.08 tff(31161,plain,
% 16.88/12.08 (((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | ((~less_3(bitIndex1)) | (v88(constB65, bitIndex1) <=> v90(constB65, bitIndex1)))) <=> ((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | (~less_3(bitIndex1)) | (v88(constB65, bitIndex1) <=> v90(constB65, bitIndex1)))),
% 16.88/12.08 inference(rewrite,[status(thm)],[])).
% 16.88/12.08 tff(31162,plain,
% 16.88/12.08 ((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | ((~less_3(bitIndex1)) | (v88(constB65, bitIndex1) <=> v90(constB65, bitIndex1)))),
% 16.88/12.08 inference(quant_inst,[status(thm)],[])).
% 16.88/12.08 tff(31163,plain,
% 16.88/12.08 ((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | (~less_3(bitIndex1)) | (v88(constB65, bitIndex1) <=> v90(constB65, bitIndex1))),
% 16.88/12.08 inference(modus_ponens,[status(thm)],[31162, 31161])).
% 16.88/12.08 tff(31164,plain,
% 16.88/12.08 (v88(constB65, bitIndex1) <=> v90(constB65, bitIndex1)),
% 16.88/12.08 inference(unit_resolution,[status(thm)],[31163, 5017, 410])).
% 16.88/12.08 tff(31165,plain,
% 16.88/12.08 ((~(v88(constB65, bitIndex1) <=> v90(constB65, bitIndex1))) | v88(constB65, bitIndex1) | (~v90(constB65, bitIndex1))),
% 16.88/12.08 inference(tautology,[status(thm)],[])).
% 16.88/12.08 tff(31166,plain,
% 16.88/12.08 (v88(constB65, bitIndex1)),
% 16.88/12.08 inference(unit_resolution,[status(thm)],[31165, 10535, 31164])).
% 16.88/12.08 tff(31167,plain,
% 16.88/12.08 ((~((~v88(constB65, bitIndex2)) | (~v88(constB65, bitIndex1)) | v88(constB65, bitIndex0))) | (~v88(constB65, bitIndex2)) | (~v88(constB65, bitIndex1)) | v88(constB65, bitIndex0)),
% 16.88/12.08 inference(tautology,[status(thm)],[])).
% 16.88/12.08 tff(31168,plain,
% 16.88/12.08 (~((~v88(constB65, bitIndex2)) | (~v88(constB65, bitIndex1)) | v88(constB65, bitIndex0))),
% 16.88/12.08 inference(unit_resolution,[status(thm)],[31167, 31166, 31160, 31154])).
% 16.88/12.08 tff(31169,plain,
% 16.88/12.08 ((~(v144(constB65) <=> (~((~v88(constB65, bitIndex2)) | (~v88(constB65, bitIndex1)) | v88(constB65, bitIndex0))))) | v144(constB65) | ((~v88(constB65, bitIndex2)) | (~v88(constB65, bitIndex1)) | v88(constB65, bitIndex0))),
% 16.88/12.08 inference(tautology,[status(thm)],[])).
% 16.88/12.08 tff(31170,plain,
% 16.88/12.08 (v144(constB65)),
% 16.88/12.08 inference(unit_resolution,[status(thm)],[31169, 31168, 31148])).
% 16.88/12.08 tff(31171,plain,
% 16.88/12.08 ((v143(constB65) | v144(constB65)) | (~v144(constB65))),
% 16.88/12.08 inference(tautology,[status(thm)],[])).
% 16.88/12.08 tff(31172,plain,
% 16.88/12.08 (v143(constB65) | v144(constB65)),
% 16.88/12.08 inference(unit_resolution,[status(thm)],[31171, 31170])).
% 16.88/12.08 tff(31173,plain,
% 16.88/12.08 ((~(v142(constB65) <=> (v143(constB65) | v144(constB65)))) | v142(constB65) | (~(v143(constB65) | v144(constB65)))),
% 16.88/12.08 inference(tautology,[status(thm)],[])).
% 16.88/12.08 tff(31174,plain,
% 16.88/12.08 (v142(constB65)),
% 16.88/12.08 inference(unit_resolution,[status(thm)],[31173, 31172, 31141])).
% 16.88/12.08 tff(31175,plain,
% 16.88/12.08 (((~![VarCurr: $i] : (v148(VarCurr) | (~v142(VarCurr)))) | (v148(constB65) | (~v142(constB65)))) <=> ((~![VarCurr: $i] : (v148(VarCurr) | (~v142(VarCurr)))) | v148(constB65) | (~v142(constB65)))),
% 16.88/12.08 inference(rewrite,[status(thm)],[])).
% 16.88/12.08 tff(31176,plain,
% 16.88/12.08 ((~![VarCurr: $i] : (v148(VarCurr) | (~v142(VarCurr)))) | (v148(constB65) | (~v142(constB65)))),
% 16.88/12.08 inference(quant_inst,[status(thm)],[])).
% 16.88/12.08 tff(31177,plain,
% 16.88/12.08 ((~![VarCurr: $i] : (v148(VarCurr) | (~v142(VarCurr)))) | v148(constB65) | (~v142(constB65))),
% 16.88/12.08 inference(modus_ponens,[status(thm)],[31176, 31175])).
% 16.88/12.08 tff(31178,plain,
% 16.88/12.08 (v148(constB65) | (~v142(constB65))),
% 16.88/12.08 inference(unit_resolution,[status(thm)],[31177, 23525])).
% 16.88/12.08 tff(31179,plain,
% 16.88/12.08 (v148(constB65)),
% 16.88/12.08 inference(unit_resolution,[status(thm)],[31178, 31174])).
% 16.88/12.08 tff(31180,plain,
% 16.88/12.08 ((~![VarCurr: $i] : (v135(VarCurr) <=> (v136(VarCurr) | v145(VarCurr)))) | (v135(constB65) <=> (v136(constB65) | v145(constB65)))),
% 16.88/12.08 inference(quant_inst,[status(thm)],[])).
% 16.88/12.08 tff(31181,plain,
% 16.88/12.08 (v135(constB65) <=> (v136(constB65) | v145(constB65))),
% 16.88/12.08 inference(unit_resolution,[status(thm)],[31180, 23537])).
% 16.88/12.08 tff(31182,plain,
% 16.88/12.08 ((~![VarCurr: $i] : (v136(VarCurr) <=> (v137(VarCurr) | v142(VarCurr)))) | (v136(constB65) <=> (v137(constB65) | v142(constB65)))),
% 16.88/12.08 inference(quant_inst,[status(thm)],[])).
% 16.88/12.08 tff(31183,plain,
% 16.88/12.08 (v136(constB65) <=> (v137(constB65) | v142(constB65))),
% 16.88/12.08 inference(unit_resolution,[status(thm)],[31182, 23546])).
% 16.88/12.08 tff(31184,plain,
% 16.88/12.08 ((v137(constB65) | v142(constB65)) | (~v142(constB65))),
% 16.88/12.08 inference(tautology,[status(thm)],[])).
% 16.88/12.08 tff(31185,plain,
% 16.88/12.08 (v137(constB65) | v142(constB65)),
% 16.88/12.08 inference(unit_resolution,[status(thm)],[31184, 31174])).
% 16.88/12.08 tff(31186,plain,
% 16.88/12.08 ((~(v136(constB65) <=> (v137(constB65) | v142(constB65)))) | v136(constB65) | (~(v137(constB65) | v142(constB65)))),
% 16.88/12.08 inference(tautology,[status(thm)],[])).
% 16.88/12.08 tff(31187,plain,
% 16.88/12.08 (v136(constB65)),
% 16.88/12.08 inference(unit_resolution,[status(thm)],[31186, 31185, 31183])).
% 16.88/12.08 tff(31188,plain,
% 16.88/12.08 ((v136(constB65) | v145(constB65)) | (~v136(constB65))),
% 16.88/12.08 inference(tautology,[status(thm)],[])).
% 16.88/12.08 tff(31189,plain,
% 16.88/12.08 (v136(constB65) | v145(constB65)),
% 16.88/12.08 inference(unit_resolution,[status(thm)],[31188, 31187])).
% 16.88/12.08 tff(31190,plain,
% 16.88/12.08 ((~(v135(constB65) <=> (v136(constB65) | v145(constB65)))) | v135(constB65) | (~(v136(constB65) | v145(constB65)))),
% 16.88/12.08 inference(tautology,[status(thm)],[])).
% 16.88/12.08 tff(31191,plain,
% 16.88/12.08 (v135(constB65)),
% 16.88/12.08 inference(unit_resolution,[status(thm)],[31190, 31189, 31181])).
% 16.88/12.08 tff(31192,plain,
% 16.88/12.08 (((~![VarNext: $i] : ((~v135(VarNext)) | (v86(VarNext) <=> v148(VarNext)))) | ((~v135(constB65)) | (v86(constB65) <=> v148(constB65)))) <=> ((~![VarNext: $i] : ((~v135(VarNext)) | (v86(VarNext) <=> v148(VarNext)))) | (~v135(constB65)) | (v86(constB65) <=> v148(constB65)))),
% 16.88/12.08 inference(rewrite,[status(thm)],[])).
% 16.88/12.08 tff(31193,plain,
% 16.88/12.08 ((~![VarNext: $i] : ((~v135(VarNext)) | (v86(VarNext) <=> v148(VarNext)))) | ((~v135(constB65)) | (v86(constB65) <=> v148(constB65)))),
% 16.88/12.08 inference(quant_inst,[status(thm)],[])).
% 16.88/12.08 tff(31194,plain,
% 16.88/12.08 ((~![VarNext: $i] : ((~v135(VarNext)) | (v86(VarNext) <=> v148(VarNext)))) | (~v135(constB65)) | (v86(constB65) <=> v148(constB65))),
% 16.88/12.08 inference(modus_ponens,[status(thm)],[31193, 31192])).
% 16.88/12.08 tff(31195,plain,
% 16.88/12.08 ((~v135(constB65)) | (v86(constB65) <=> v148(constB65))),
% 16.88/12.08 inference(unit_resolution,[status(thm)],[31194, 23566])).
% 16.88/12.08 tff(31196,plain,
% 16.88/12.09 (v86(constB65) <=> v148(constB65)),
% 16.88/12.09 inference(unit_resolution,[status(thm)],[31195, 31191])).
% 16.88/12.09 tff(31197,plain,
% 16.88/12.09 ((~(v86(constB65) <=> v148(constB65))) | v86(constB65) | (~v148(constB65))),
% 16.88/12.09 inference(tautology,[status(thm)],[])).
% 16.88/12.09 tff(31198,plain,
% 16.88/12.09 (v86(constB65)),
% 16.88/12.09 inference(unit_resolution,[status(thm)],[31197, 31196, 31179])).
% 16.88/12.09 tff(31199,plain,
% 16.88/12.09 ($false),
% 16.88/12.09 inference(unit_resolution,[status(thm)],[31198, 31139])).
% 16.88/12.09 tff(31200,plain,(~(constB65 = VarCurr!0)), inference(lemma,lemma(discharge,[]))).
% 16.88/12.09 tff(31201,assumption,(constB95 = VarCurr!0), introduced(assumption)).
% 16.88/12.09 tff(31202,plain,
% 16.88/12.09 (v86(constB95) <=> v86(VarCurr!0)),
% 16.88/12.09 inference(monotonicity,[status(thm)],[31201])).
% 16.88/12.09 tff(31203,plain,
% 16.88/12.09 (v86(VarCurr!0) <=> v86(constB95)),
% 16.88/12.09 inference(symmetry,[status(thm)],[31202])).
% 16.88/12.09 tff(31204,plain,
% 16.88/12.09 ((~v86(VarCurr!0)) <=> (~v86(constB95))),
% 16.88/12.09 inference(monotonicity,[status(thm)],[31203])).
% 16.88/12.09 tff(31205,plain,
% 16.88/12.09 (~v86(constB95)),
% 16.88/12.09 inference(modus_ponens,[status(thm)],[20649, 31204])).
% 16.88/12.09 tff(31206,plain,
% 16.88/12.09 (((~![VarCurr: $i] : (v148(VarCurr) | (~v142(VarCurr)))) | (v148(constB95) | (~v142(constB95)))) <=> ((~![VarCurr: $i] : (v148(VarCurr) | (~v142(VarCurr)))) | v148(constB95) | (~v142(constB95)))),
% 16.88/12.09 inference(rewrite,[status(thm)],[])).
% 16.88/12.09 tff(31207,plain,
% 16.88/12.09 ((~![VarCurr: $i] : (v148(VarCurr) | (~v142(VarCurr)))) | (v148(constB95) | (~v142(constB95)))),
% 16.88/12.09 inference(quant_inst,[status(thm)],[])).
% 16.88/12.09 tff(31208,plain,
% 16.88/12.09 ((~![VarCurr: $i] : (v148(VarCurr) | (~v142(VarCurr)))) | v148(constB95) | (~v142(constB95))),
% 16.88/12.09 inference(modus_ponens,[status(thm)],[31207, 31206])).
% 16.88/12.09 tff(31209,plain,
% 16.88/12.09 (v148(constB95) | (~v142(constB95))),
% 16.88/12.09 inference(unit_resolution,[status(thm)],[31208, 23525])).
% 16.88/12.09 tff(31210,plain,
% 16.88/12.09 (v148(constB95)),
% 16.88/12.09 inference(unit_resolution,[status(thm)],[31209, 13047])).
% 16.88/12.09 tff(31211,plain,
% 16.88/12.09 ((~![VarCurr: $i] : (v135(VarCurr) <=> (v136(VarCurr) | v145(VarCurr)))) | (v135(constB95) <=> (v136(constB95) | v145(constB95)))),
% 16.88/12.09 inference(quant_inst,[status(thm)],[])).
% 16.88/12.09 tff(31212,plain,
% 16.88/12.09 (v135(constB95) <=> (v136(constB95) | v145(constB95))),
% 16.88/12.09 inference(unit_resolution,[status(thm)],[31211, 23537])).
% 16.88/12.09 tff(31213,plain,
% 16.88/12.09 ((~![VarCurr: $i] : (v136(VarCurr) <=> (v137(VarCurr) | v142(VarCurr)))) | (v136(constB95) <=> (v137(constB95) | v142(constB95)))),
% 16.88/12.09 inference(quant_inst,[status(thm)],[])).
% 16.88/12.09 tff(31214,plain,
% 16.88/12.09 (v136(constB95) <=> (v137(constB95) | v142(constB95))),
% 16.88/12.09 inference(unit_resolution,[status(thm)],[31213, 23546])).
% 16.88/12.09 tff(31215,plain,
% 16.88/12.09 ((v137(constB95) | v142(constB95)) | (~v142(constB95))),
% 16.88/12.09 inference(tautology,[status(thm)],[])).
% 16.88/12.09 tff(31216,plain,
% 16.88/12.09 (v137(constB95) | v142(constB95)),
% 16.88/12.09 inference(unit_resolution,[status(thm)],[31215, 13047])).
% 16.88/12.09 tff(31217,plain,
% 16.88/12.09 ((~(v136(constB95) <=> (v137(constB95) | v142(constB95)))) | v136(constB95) | (~(v137(constB95) | v142(constB95)))),
% 16.88/12.09 inference(tautology,[status(thm)],[])).
% 16.88/12.09 tff(31218,plain,
% 16.88/12.09 (v136(constB95)),
% 16.88/12.09 inference(unit_resolution,[status(thm)],[31217, 31216, 31214])).
% 16.88/12.09 tff(31219,plain,
% 16.88/12.09 ((v136(constB95) | v145(constB95)) | (~v136(constB95))),
% 16.88/12.09 inference(tautology,[status(thm)],[])).
% 16.88/12.09 tff(31220,plain,
% 16.88/12.09 (v136(constB95) | v145(constB95)),
% 16.88/12.09 inference(unit_resolution,[status(thm)],[31219, 31218])).
% 16.88/12.09 tff(31221,plain,
% 16.88/12.09 ((~(v135(constB95) <=> (v136(constB95) | v145(constB95)))) | v135(constB95) | (~(v136(constB95) | v145(constB95)))),
% 16.88/12.09 inference(tautology,[status(thm)],[])).
% 16.88/12.09 tff(31222,plain,
% 16.88/12.09 (v135(constB95)),
% 16.88/12.09 inference(unit_resolution,[status(thm)],[31221, 31220, 31212])).
% 16.88/12.09 tff(31223,plain,
% 16.88/12.09 (((~![VarNext: $i] : ((~v135(VarNext)) | (v86(VarNext) <=> v148(VarNext)))) | ((~v135(constB95)) | (v86(constB95) <=> v148(constB95)))) <=> ((~![VarNext: $i] : ((~v135(VarNext)) | (v86(VarNext) <=> v148(VarNext)))) | (~v135(constB95)) | (v86(constB95) <=> v148(constB95)))),
% 16.88/12.09 inference(rewrite,[status(thm)],[])).
% 16.88/12.09 tff(31224,plain,
% 16.88/12.09 ((~![VarNext: $i] : ((~v135(VarNext)) | (v86(VarNext) <=> v148(VarNext)))) | ((~v135(constB95)) | (v86(constB95) <=> v148(constB95)))),
% 16.88/12.09 inference(quant_inst,[status(thm)],[])).
% 16.88/12.09 tff(31225,plain,
% 16.88/12.09 ((~![VarNext: $i] : ((~v135(VarNext)) | (v86(VarNext) <=> v148(VarNext)))) | (~v135(constB95)) | (v86(constB95) <=> v148(constB95))),
% 16.88/12.09 inference(modus_ponens,[status(thm)],[31224, 31223])).
% 16.88/12.09 tff(31226,plain,
% 16.88/12.09 ((~v135(constB95)) | (v86(constB95) <=> v148(constB95))),
% 16.88/12.09 inference(unit_resolution,[status(thm)],[31225, 23566])).
% 16.88/12.09 tff(31227,plain,
% 16.88/12.09 (v86(constB95) <=> v148(constB95)),
% 16.88/12.09 inference(unit_resolution,[status(thm)],[31226, 31222])).
% 16.88/12.09 tff(31228,plain,
% 16.88/12.09 ((~(v86(constB95) <=> v148(constB95))) | v86(constB95) | (~v148(constB95))),
% 16.88/12.09 inference(tautology,[status(thm)],[])).
% 16.88/12.09 tff(31229,plain,
% 16.88/12.09 (v86(constB95)),
% 16.88/12.09 inference(unit_resolution,[status(thm)],[31228, 31227, 31210])).
% 16.88/12.09 tff(31230,plain,
% 16.88/12.09 ($false),
% 16.88/12.09 inference(unit_resolution,[status(thm)],[31229, 31205])).
% 16.88/12.09 tff(31231,plain,(~(constB95 = VarCurr!0)), inference(lemma,lemma(discharge,[]))).
% 16.88/12.09 tff(31232,assumption,(constB107 = VarCurr!0), introduced(assumption)).
% 16.88/12.09 tff(31233,plain,
% 16.88/12.09 (v193(constB107) <=> v193(VarCurr!0)),
% 16.88/12.09 inference(monotonicity,[status(thm)],[31232])).
% 16.88/12.09 tff(31234,plain,
% 16.88/12.09 (v193(VarCurr!0) <=> v193(constB107)),
% 16.88/12.09 inference(symmetry,[status(thm)],[31233])).
% 16.88/12.09 tff(31235,plain,
% 16.88/12.09 (v193(constB107)),
% 16.88/12.09 inference(modus_ponens,[status(thm)],[59, 31234])).
% 16.88/12.09 tff(31236,plain,
% 16.88/12.09 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v193(VarNext) <=> v191(VarCurr)))) | ((~nextState(constB106, constB107)) | (v193(constB107) <=> v191(constB106)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v193(VarNext) <=> v191(VarCurr)))) | (~nextState(constB106, constB107)) | (v193(constB107) <=> v191(constB106)))),
% 16.88/12.09 inference(rewrite,[status(thm)],[])).
% 16.88/12.09 tff(31237,plain,
% 16.88/12.09 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v193(VarNext) <=> v191(VarCurr)))) | ((~nextState(constB106, constB107)) | (v193(constB107) <=> v191(constB106)))),
% 16.88/12.09 inference(quant_inst,[status(thm)],[])).
% 16.88/12.09 tff(31238,plain,
% 16.88/12.09 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v193(VarNext) <=> v191(VarCurr)))) | (~nextState(constB106, constB107)) | (v193(constB107) <=> v191(constB106))),
% 16.88/12.09 inference(modus_ponens,[status(thm)],[31237, 31236])).
% 16.88/12.09 tff(31239,plain,
% 16.88/12.09 (v193(constB107) <=> v191(constB106)),
% 16.88/12.09 inference(unit_resolution,[status(thm)],[31238, 15570, 70])).
% 16.88/12.09 tff(31240,plain,
% 16.88/12.09 ((~![VarCurr: $i] : (v191(VarCurr) <=> (v194(VarCurr) | v198(VarCurr)))) | (v191(constB106) <=> (v194(constB106) | v198(constB106)))),
% 16.88/12.09 inference(quant_inst,[status(thm)],[])).
% 16.88/12.09 tff(31241,plain,
% 16.88/12.09 (v191(constB106) <=> (v194(constB106) | v198(constB106))),
% 16.88/12.09 inference(unit_resolution,[status(thm)],[31240, 84])).
% 16.88/12.09 tff(31242,plain,
% 16.88/12.09 ((~![VarCurr: $i] : (v198(VarCurr) <=> (~((~v199(VarCurr)) | (~v200(VarCurr)))))) | (v198(constB106) <=> (~((~v199(constB106)) | (~v200(constB106)))))),
% 16.88/12.09 inference(quant_inst,[status(thm)],[])).
% 16.88/12.09 tff(31243,plain,
% 16.88/12.09 (v198(constB106) <=> (~((~v199(constB106)) | (~v200(constB106))))),
% 16.88/12.09 inference(unit_resolution,[status(thm)],[31242, 96])).
% 16.88/12.09 tff(31244,plain,
% 16.88/12.09 ((~![VarCurr: $i] : (v200(VarCurr) <=> (~((~v197(VarCurr)) | (~v201(VarCurr)))))) | (v200(constB106) <=> (~((~v197(constB106)) | (~v201(constB106)))))),
% 16.88/12.09 inference(quant_inst,[status(thm)],[])).
% 16.88/12.09 tff(31245,plain,
% 16.88/12.09 (v200(constB106) <=> (~((~v197(constB106)) | (~v201(constB106))))),
% 16.88/12.09 inference(unit_resolution,[status(thm)],[31244, 108])).
% 16.88/12.09 tff(31246,plain,
% 16.88/12.09 ((~![VarCurr: $i] : (v197(VarCurr) <=> (~((~v39(VarCurr)) | (~v9(VarCurr)))))) | (v197(constB106) <=> (~((~v39(constB106)) | (~v9(constB106)))))),
% 16.88/12.09 inference(quant_inst,[status(thm)],[])).
% 16.88/12.09 tff(31247,plain,
% 16.88/12.09 (v197(constB106) <=> (~((~v39(constB106)) | (~v9(constB106))))),
% 16.88/12.09 inference(unit_resolution,[status(thm)],[31246, 120])).
% 16.88/12.09 tff(31248,plain,
% 16.88/12.09 ((~![VarCurr: $i] : ((~v39(VarCurr)) <=> v1(VarCurr))) | ((~v39(constB106)) <=> v1(constB106))),
% 16.88/12.09 inference(quant_inst,[status(thm)],[])).
% 16.88/12.09 tff(31249,plain,
% 16.88/12.09 ((~v39(constB106)) <=> v1(constB106)),
% 16.88/12.09 inference(unit_resolution,[status(thm)],[31248, 129])).
% 16.88/12.09 tff(31250,plain,
% 16.88/12.09 ((~((~v39(constB106)) <=> v1(constB106))) | (~v39(constB106)) | (~v1(constB106))),
% 16.88/12.09 inference(tautology,[status(thm)],[])).
% 16.88/12.09 tff(31251,plain,
% 16.88/12.09 ((~((~v39(constB106)) <=> v1(constB106))) | (~v39(constB106))),
% 16.88/12.09 inference(unit_resolution,[status(thm)],[31250, 15632])).
% 16.88/12.09 tff(31252,plain,
% 16.88/12.09 (~v39(constB106)),
% 16.88/12.09 inference(unit_resolution,[status(thm)],[31251, 31249])).
% 16.88/12.09 tff(31253,plain,
% 16.88/12.09 (((~v39(constB106)) | (~v9(constB106))) | v39(constB106)),
% 16.88/12.09 inference(tautology,[status(thm)],[])).
% 16.88/12.09 tff(31254,plain,
% 16.88/12.09 ((~v39(constB106)) | (~v9(constB106))),
% 16.88/12.09 inference(unit_resolution,[status(thm)],[31253, 31252])).
% 16.88/12.09 tff(31255,plain,
% 16.88/12.09 ((~(v197(constB106) <=> (~((~v39(constB106)) | (~v9(constB106)))))) | (~v197(constB106)) | (~((~v39(constB106)) | (~v9(constB106))))),
% 16.88/12.09 inference(tautology,[status(thm)],[])).
% 16.88/12.09 tff(31256,plain,
% 16.88/12.09 ((~(v197(constB106) <=> (~((~v39(constB106)) | (~v9(constB106)))))) | (~v197(constB106))),
% 16.88/12.09 inference(unit_resolution,[status(thm)],[31255, 31254])).
% 16.88/12.09 tff(31257,plain,
% 16.88/12.09 (~v197(constB106)),
% 16.88/12.09 inference(unit_resolution,[status(thm)],[31256, 31247])).
% 16.88/12.09 tff(31258,plain,
% 16.88/12.09 (((~v197(constB106)) | (~v201(constB106))) | v197(constB106)),
% 16.88/12.09 inference(tautology,[status(thm)],[])).
% 16.88/12.09 tff(31259,plain,
% 16.88/12.09 ((~v197(constB106)) | (~v201(constB106))),
% 16.88/12.09 inference(unit_resolution,[status(thm)],[31258, 31257])).
% 16.88/12.09 tff(31260,plain,
% 16.88/12.09 ((~(v200(constB106) <=> (~((~v197(constB106)) | (~v201(constB106)))))) | (~v200(constB106)) | (~((~v197(constB106)) | (~v201(constB106))))),
% 16.88/12.09 inference(tautology,[status(thm)],[])).
% 16.88/12.09 tff(31261,plain,
% 16.88/12.09 ((~(v200(constB106) <=> (~((~v197(constB106)) | (~v201(constB106)))))) | (~v200(constB106))),
% 16.88/12.09 inference(unit_resolution,[status(thm)],[31260, 31259])).
% 16.88/12.09 tff(31262,plain,
% 16.88/12.09 (~v200(constB106)),
% 16.88/12.09 inference(unit_resolution,[status(thm)],[31261, 31245])).
% 16.88/12.09 tff(31263,plain,
% 16.88/12.09 (((~v199(constB106)) | (~v200(constB106))) | v200(constB106)),
% 16.88/12.09 inference(tautology,[status(thm)],[])).
% 16.88/12.09 tff(31264,plain,
% 16.88/12.09 ((~v199(constB106)) | (~v200(constB106))),
% 16.88/12.09 inference(unit_resolution,[status(thm)],[31263, 31262])).
% 16.88/12.09 tff(31265,plain,
% 16.88/12.09 ((~(v198(constB106) <=> (~((~v199(constB106)) | (~v200(constB106)))))) | (~v198(constB106)) | (~((~v199(constB106)) | (~v200(constB106))))),
% 16.88/12.09 inference(tautology,[status(thm)],[])).
% 16.88/12.09 tff(31266,plain,
% 16.88/12.09 (~v198(constB106)),
% 16.88/12.09 inference(unit_resolution,[status(thm)],[31265, 31264, 31243])).
% 16.88/12.09 tff(31267,plain,
% 16.88/12.09 (((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB106) <=> (~((~v157(constB106)) | (~v195(constB106)))))) <=> ((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB106) <=> (~((~v157(constB106)) | (~v195(constB106))))))),
% 16.88/12.09 inference(rewrite,[status(thm)],[])).
% 16.88/12.09 tff(31268,plain,
% 16.88/12.09 ((v194(constB106) <=> (~((~v195(constB106)) | (~v157(constB106))))) <=> (v194(constB106) <=> (~((~v157(constB106)) | (~v195(constB106)))))),
% 16.88/12.09 inference(rewrite,[status(thm)],[])).
% 16.88/12.09 tff(31269,plain,
% 16.88/12.09 (((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB106) <=> (~((~v195(constB106)) | (~v157(constB106)))))) <=> ((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB106) <=> (~((~v157(constB106)) | (~v195(constB106))))))),
% 16.88/12.09 inference(monotonicity,[status(thm)],[31268])).
% 16.88/12.09 tff(31270,plain,
% 16.88/12.09 (((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB106) <=> (~((~v195(constB106)) | (~v157(constB106)))))) <=> ((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB106) <=> (~((~v157(constB106)) | (~v195(constB106))))))),
% 16.88/12.09 inference(transitivity,[status(thm)],[31269, 31267])).
% 16.88/12.09 tff(31271,plain,
% 16.88/12.09 ((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB106) <=> (~((~v195(constB106)) | (~v157(constB106)))))),
% 16.88/12.09 inference(quant_inst,[status(thm)],[])).
% 16.88/12.09 tff(31272,plain,
% 16.88/12.09 ((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB106) <=> (~((~v157(constB106)) | (~v195(constB106)))))),
% 16.88/12.09 inference(modus_ponens,[status(thm)],[31271, 31270])).
% 16.88/12.09 tff(31273,plain,
% 16.88/12.09 (v194(constB106) <=> (~((~v157(constB106)) | (~v195(constB106))))),
% 16.88/12.09 inference(unit_resolution,[status(thm)],[31272, 161])).
% 16.88/12.09 tff(31274,plain,
% 16.88/12.09 ((~![VarNext: $i] : (v157(VarNext) <=> v193(VarNext))) | (v157(constB106) <=> v193(constB106))),
% 16.88/12.09 inference(quant_inst,[status(thm)],[])).
% 16.88/12.09 tff(31275,plain,
% 16.88/12.09 (v157(constB106) <=> v193(constB106)),
% 16.88/12.09 inference(unit_resolution,[status(thm)],[31274, 13])).
% 16.88/12.09 tff(31276,plain,
% 16.88/12.09 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v193(VarNext) <=> v191(VarCurr)))) | ((~nextState(constB105, constB106)) | (v193(constB106) <=> v191(constB105)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v193(VarNext) <=> v191(VarCurr)))) | (~nextState(constB105, constB106)) | (v193(constB106) <=> v191(constB105)))),
% 16.88/12.09 inference(rewrite,[status(thm)],[])).
% 16.88/12.09 tff(31277,plain,
% 16.88/12.09 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v193(VarNext) <=> v191(VarCurr)))) | ((~nextState(constB105, constB106)) | (v193(constB106) <=> v191(constB105)))),
% 16.88/12.09 inference(quant_inst,[status(thm)],[])).
% 16.88/12.09 tff(31278,plain,
% 16.88/12.09 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v193(VarNext) <=> v191(VarCurr)))) | (~nextState(constB105, constB106)) | (v193(constB106) <=> v191(constB105))),
% 16.88/12.09 inference(modus_ponens,[status(thm)],[31277, 31276])).
% 16.88/12.09 tff(31279,plain,
% 16.88/12.09 (v193(constB106) <=> v191(constB105)),
% 16.88/12.09 inference(unit_resolution,[status(thm)],[31278, 15602, 70])).
% 16.88/12.09 tff(31280,plain,
% 16.88/12.09 ((~![VarCurr: $i] : (v191(VarCurr) <=> (v194(VarCurr) | v198(VarCurr)))) | (v191(constB105) <=> (v194(constB105) | v198(constB105)))),
% 16.88/12.09 inference(quant_inst,[status(thm)],[])).
% 16.88/12.09 tff(31281,plain,
% 16.88/12.09 (v191(constB105) <=> (v194(constB105) | v198(constB105))),
% 16.88/12.09 inference(unit_resolution,[status(thm)],[31280, 84])).
% 16.88/12.09 tff(31282,plain,
% 16.88/12.09 (((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB105) <=> (~((~v157(constB105)) | (~v195(constB105)))))) <=> ((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB105) <=> (~((~v157(constB105)) | (~v195(constB105))))))),
% 16.88/12.09 inference(rewrite,[status(thm)],[])).
% 16.88/12.09 tff(31283,plain,
% 16.88/12.09 ((v194(constB105) <=> (~((~v195(constB105)) | (~v157(constB105))))) <=> (v194(constB105) <=> (~((~v157(constB105)) | (~v195(constB105)))))),
% 16.88/12.09 inference(rewrite,[status(thm)],[])).
% 16.88/12.09 tff(31284,plain,
% 16.88/12.09 (((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB105) <=> (~((~v195(constB105)) | (~v157(constB105)))))) <=> ((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB105) <=> (~((~v157(constB105)) | (~v195(constB105))))))),
% 16.88/12.09 inference(monotonicity,[status(thm)],[31283])).
% 16.88/12.09 tff(31285,plain,
% 16.88/12.09 (((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB105) <=> (~((~v195(constB105)) | (~v157(constB105)))))) <=> ((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB105) <=> (~((~v157(constB105)) | (~v195(constB105))))))),
% 16.88/12.09 inference(transitivity,[status(thm)],[31284, 31282])).
% 16.88/12.09 tff(31286,plain,
% 16.88/12.09 ((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB105) <=> (~((~v195(constB105)) | (~v157(constB105)))))),
% 16.88/12.09 inference(quant_inst,[status(thm)],[])).
% 16.88/12.09 tff(31287,plain,
% 16.88/12.09 ((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB105) <=> (~((~v157(constB105)) | (~v195(constB105)))))),
% 16.88/12.09 inference(modus_ponens,[status(thm)],[31286, 31285])).
% 16.88/12.09 tff(31288,plain,
% 16.88/12.09 (v194(constB105) <=> (~((~v157(constB105)) | (~v195(constB105))))),
% 16.88/12.09 inference(unit_resolution,[status(thm)],[31287, 161])).
% 16.88/12.09 tff(31289,plain,
% 16.88/12.09 ((~![VarCurr: $i] : ((~v195(VarCurr)) <=> v196(VarCurr))) | ((~v195(constB105)) <=> v196(constB105))),
% 16.88/12.09 inference(quant_inst,[status(thm)],[])).
% 16.88/12.09 tff(31290,plain,
% 16.88/12.09 ((~v195(constB105)) <=> v196(constB105)),
% 16.88/12.09 inference(unit_resolution,[status(thm)],[31289, 193])).
% 16.88/12.09 tff(31291,plain,
% 16.88/12.09 ((~![VarCurr: $i] : (v196(VarCurr) <=> (v197(VarCurr) | v26(VarCurr)))) | (v196(constB105) <=> (v197(constB105) | v26(constB105)))),
% 16.88/12.09 inference(quant_inst,[status(thm)],[])).
% 16.88/12.09 tff(31292,plain,
% 16.88/12.09 (v196(constB105) <=> (v197(constB105) | v26(constB105))),
% 16.88/12.09 inference(unit_resolution,[status(thm)],[31291, 202])).
% 16.88/12.09 tff(31293,plain,
% 16.88/12.09 ((~![VarCurr: $i] : (v197(VarCurr) <=> (~((~v39(VarCurr)) | (~v9(VarCurr)))))) | (v197(constB105) <=> (~((~v39(constB105)) | (~v9(constB105)))))),
% 16.88/12.09 inference(quant_inst,[status(thm)],[])).
% 16.88/12.09 tff(31294,plain,
% 16.88/12.09 (v197(constB105) <=> (~((~v39(constB105)) | (~v9(constB105))))),
% 16.88/12.09 inference(unit_resolution,[status(thm)],[31293, 120])).
% 16.88/12.09 tff(31295,plain,
% 16.88/12.09 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | ((~nextState(constB105, constB106)) | (v13(constB106) <=> v9(constB105)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | (~nextState(constB105, constB106)) | (v13(constB106) <=> v9(constB105)))),
% 16.88/12.09 inference(rewrite,[status(thm)],[])).
% 16.88/12.09 tff(31296,plain,
% 16.88/12.09 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | ((~nextState(constB105, constB106)) | (v13(constB106) <=> v9(constB105)))),
% 16.88/12.09 inference(quant_inst,[status(thm)],[])).
% 16.88/12.09 tff(31297,plain,
% 16.88/12.09 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | (~nextState(constB105, constB106)) | (v13(constB106) <=> v9(constB105))),
% 16.88/12.09 inference(modus_ponens,[status(thm)],[31296, 31295])).
% 16.88/12.09 tff(31298,plain,
% 16.88/12.09 (v13(constB106) <=> v9(constB105)),
% 16.88/12.09 inference(unit_resolution,[status(thm)],[31297, 15602, 216])).
% 16.88/12.09 tff(31299,plain,
% 16.88/12.09 ((~![VarNext: $i] : (v6(VarNext) <=> v13(VarNext))) | (v6(constB106) <=> v13(constB106))),
% 16.88/12.09 inference(quant_inst,[status(thm)],[])).
% 16.88/12.09 tff(31300,plain,
% 16.88/12.09 (v6(constB106) <=> v13(constB106)),
% 16.88/12.09 inference(unit_resolution,[status(thm)],[31299, 230])).
% 16.88/12.09 tff(31301,plain,
% 16.88/12.09 ((~![VarCurr: $i] : ((~v21(VarCurr)) <=> v6(VarCurr))) | ((~v21(constB106)) <=> v6(constB106))),
% 16.88/12.09 inference(quant_inst,[status(thm)],[])).
% 16.88/12.09 tff(31302,plain,
% 16.88/12.09 ((~v21(constB106)) <=> v6(constB106)),
% 16.88/12.09 inference(unit_resolution,[status(thm)],[31301, 239])).
% 16.88/12.09 tff(31303,plain,
% 16.88/12.09 ((~![VarCurr: $i] : (v19(VarCurr) <=> (v20(VarCurr) | v21(VarCurr)))) | (v19(constB106) <=> (v20(constB106) | v21(constB106)))),
% 16.88/12.09 inference(quant_inst,[status(thm)],[])).
% 16.88/12.09 tff(31304,plain,
% 16.88/12.09 (v19(constB106) <=> (v20(constB106) | v21(constB106))),
% 16.88/12.09 inference(unit_resolution,[status(thm)],[31303, 248])).
% 16.88/12.09 tff(31305,plain,
% 16.88/12.09 ((~![VarCurr: $i] : (v18(VarCurr) <=> (~((~v19(VarCurr)) | (~v22(VarCurr)))))) | (v18(constB106) <=> (~((~v19(constB106)) | (~v22(constB106)))))),
% 16.88/12.09 inference(quant_inst,[status(thm)],[])).
% 16.88/12.09 tff(31306,plain,
% 16.88/12.09 (v18(constB106) <=> (~((~v19(constB106)) | (~v22(constB106))))),
% 16.88/12.09 inference(unit_resolution,[status(thm)],[31305, 260])).
% 16.89/12.10 tff(31307,plain,
% 16.89/12.10 ((~![VarCurr: $i] : ((~v4(VarCurr)) <=> v18(VarCurr))) | ((~v4(constB106)) <=> v18(constB106))),
% 16.89/12.10 inference(quant_inst,[status(thm)],[])).
% 16.89/12.10 tff(31308,plain,
% 16.89/12.10 ((~v4(constB106)) <=> v18(constB106)),
% 16.89/12.10 inference(unit_resolution,[status(thm)],[31307, 269])).
% 16.89/12.10 tff(31309,plain,
% 16.89/12.10 ((~![VarCurr: $i] : v4(VarCurr)) | v4(constB106)),
% 16.89/12.10 inference(quant_inst,[status(thm)],[])).
% 16.89/12.10 tff(31310,plain,
% 16.89/12.10 (v4(constB106)),
% 16.89/12.10 inference(unit_resolution,[status(thm)],[31309, 278])).
% 16.89/12.10 tff(31311,plain,
% 16.89/12.10 ((~((~v4(constB106)) <=> v18(constB106))) | (~v4(constB106)) | (~v18(constB106))),
% 16.89/12.10 inference(tautology,[status(thm)],[])).
% 16.89/12.10 tff(31312,plain,
% 16.89/12.10 (~v18(constB106)),
% 16.89/12.10 inference(unit_resolution,[status(thm)],[31311, 31310, 31308])).
% 16.89/12.10 tff(31313,plain,
% 16.89/12.10 ((~(v18(constB106) <=> (~((~v19(constB106)) | (~v22(constB106)))))) | v18(constB106) | ((~v19(constB106)) | (~v22(constB106)))),
% 16.89/12.10 inference(tautology,[status(thm)],[])).
% 16.89/12.10 tff(31314,plain,
% 16.89/12.10 ((~v19(constB106)) | (~v22(constB106))),
% 16.89/12.10 inference(unit_resolution,[status(thm)],[31313, 31312, 31306])).
% 16.89/12.10 tff(31315,plain,
% 16.89/12.10 ((~![VarCurr: $i] : (v22(VarCurr) <=> (v1(VarCurr) | v6(VarCurr)))) | (v22(constB106) <=> (v1(constB106) | v6(constB106)))),
% 16.89/12.10 inference(quant_inst,[status(thm)],[])).
% 16.89/12.10 tff(31316,plain,
% 16.89/12.10 (v22(constB106) <=> (v1(constB106) | v6(constB106))),
% 16.89/12.10 inference(unit_resolution,[status(thm)],[31315, 291])).
% 16.89/12.10 tff(31317,plain,
% 16.89/12.10 ((v1(constB106) | v6(constB106)) | (~v1(constB106))),
% 16.89/12.10 inference(tautology,[status(thm)],[])).
% 16.89/12.10 tff(31318,plain,
% 16.89/12.10 (v1(constB106) | v6(constB106)),
% 16.89/12.10 inference(unit_resolution,[status(thm)],[31317, 15632])).
% 16.89/12.10 tff(31319,plain,
% 16.89/12.10 ((~(v22(constB106) <=> (v1(constB106) | v6(constB106)))) | v22(constB106) | (~(v1(constB106) | v6(constB106)))),
% 16.89/12.10 inference(tautology,[status(thm)],[])).
% 16.89/12.10 tff(31320,plain,
% 16.89/12.10 ((~(v22(constB106) <=> (v1(constB106) | v6(constB106)))) | v22(constB106)),
% 16.89/12.10 inference(unit_resolution,[status(thm)],[31319, 31318])).
% 16.89/12.10 tff(31321,plain,
% 16.89/12.10 (v22(constB106)),
% 16.89/12.10 inference(unit_resolution,[status(thm)],[31320, 31316])).
% 16.89/12.10 tff(31322,plain,
% 16.89/12.10 ((~((~v19(constB106)) | (~v22(constB106)))) | (~v19(constB106)) | (~v22(constB106))),
% 16.89/12.10 inference(tautology,[status(thm)],[])).
% 16.89/12.10 tff(31323,plain,
% 16.89/12.10 ((~((~v19(constB106)) | (~v22(constB106)))) | (~v19(constB106))),
% 16.89/12.10 inference(unit_resolution,[status(thm)],[31322, 31321])).
% 16.89/12.10 tff(31324,plain,
% 16.89/12.10 (~v19(constB106)),
% 16.89/12.10 inference(unit_resolution,[status(thm)],[31323, 31314])).
% 16.89/12.10 tff(31325,plain,
% 16.89/12.10 ((~(v19(constB106) <=> (v20(constB106) | v21(constB106)))) | v19(constB106) | (~(v20(constB106) | v21(constB106)))),
% 16.89/12.10 inference(tautology,[status(thm)],[])).
% 16.89/12.10 tff(31326,plain,
% 16.89/12.10 (~(v20(constB106) | v21(constB106))),
% 16.89/12.10 inference(unit_resolution,[status(thm)],[31325, 31324, 31304])).
% 16.89/12.10 tff(31327,plain,
% 16.89/12.10 ((v20(constB106) | v21(constB106)) | (~v21(constB106))),
% 16.89/12.10 inference(tautology,[status(thm)],[])).
% 16.89/12.10 tff(31328,plain,
% 16.89/12.10 (~v21(constB106)),
% 16.89/12.10 inference(unit_resolution,[status(thm)],[31327, 31326])).
% 16.89/12.10 tff(31329,plain,
% 16.89/12.10 ((~((~v21(constB106)) <=> v6(constB106))) | v21(constB106) | v6(constB106)),
% 16.89/12.10 inference(tautology,[status(thm)],[])).
% 16.89/12.10 tff(31330,plain,
% 16.89/12.10 (v6(constB106)),
% 16.89/12.10 inference(unit_resolution,[status(thm)],[31329, 31328, 31302])).
% 16.89/12.10 tff(31331,plain,
% 16.89/12.10 ((~(v6(constB106) <=> v13(constB106))) | (~v6(constB106)) | v13(constB106)),
% 16.89/12.10 inference(tautology,[status(thm)],[])).
% 16.89/12.10 tff(31332,plain,
% 16.89/12.10 (v13(constB106)),
% 16.89/12.10 inference(unit_resolution,[status(thm)],[31331, 31330, 31300])).
% 16.89/12.10 tff(31333,plain,
% 16.89/12.10 ((~(v13(constB106) <=> v9(constB105))) | (~v13(constB106)) | v9(constB105)),
% 16.89/12.10 inference(tautology,[status(thm)],[])).
% 16.89/12.10 tff(31334,plain,
% 16.89/12.10 (v9(constB105)),
% 16.89/12.10 inference(unit_resolution,[status(thm)],[31333, 31332, 31298])).
% 16.89/12.10 tff(31335,plain,
% 16.89/12.10 ((~![VarCurr: $i] : ((~v39(VarCurr)) <=> v1(VarCurr))) | ((~v39(constB105)) <=> v1(constB105))),
% 16.89/12.10 inference(quant_inst,[status(thm)],[])).
% 16.89/12.10 tff(31336,plain,
% 16.89/12.10 ((~v39(constB105)) <=> v1(constB105)),
% 16.89/12.10 inference(unit_resolution,[status(thm)],[31335, 129])).
% 16.89/12.10 tff(31337,plain,
% 16.89/12.10 ((~((~v39(constB105)) <=> v1(constB105))) | v39(constB105) | v1(constB105)),
% 16.89/12.10 inference(tautology,[status(thm)],[])).
% 16.89/12.10 tff(31338,plain,
% 16.89/12.10 ((~((~v39(constB105)) <=> v1(constB105))) | v39(constB105)),
% 16.89/12.10 inference(unit_resolution,[status(thm)],[31337, 15624])).
% 16.89/12.10 tff(31339,plain,
% 16.89/12.10 (v39(constB105)),
% 16.89/12.10 inference(unit_resolution,[status(thm)],[31338, 31336])).
% 16.89/12.10 tff(31340,plain,
% 16.89/12.10 ((~((~v39(constB105)) | (~v9(constB105)))) | (~v39(constB105)) | (~v9(constB105))),
% 16.89/12.10 inference(tautology,[status(thm)],[])).
% 16.89/12.10 tff(31341,plain,
% 16.89/12.10 ((~((~v39(constB105)) | (~v9(constB105)))) | (~v9(constB105))),
% 16.89/12.10 inference(unit_resolution,[status(thm)],[31340, 31339])).
% 16.89/12.10 tff(31342,plain,
% 16.89/12.10 (~((~v39(constB105)) | (~v9(constB105)))),
% 16.89/12.10 inference(unit_resolution,[status(thm)],[31341, 31334])).
% 16.89/12.10 tff(31343,plain,
% 16.89/12.10 ((~(v197(constB105) <=> (~((~v39(constB105)) | (~v9(constB105)))))) | v197(constB105) | ((~v39(constB105)) | (~v9(constB105)))),
% 16.89/12.10 inference(tautology,[status(thm)],[])).
% 16.89/12.10 tff(31344,plain,
% 16.89/12.10 (v197(constB105)),
% 16.89/12.10 inference(unit_resolution,[status(thm)],[31343, 31342, 31294])).
% 16.89/12.10 tff(31345,plain,
% 16.89/12.10 ((v197(constB105) | v26(constB105)) | (~v197(constB105))),
% 16.89/12.10 inference(tautology,[status(thm)],[])).
% 16.89/12.10 tff(31346,plain,
% 16.89/12.10 (v197(constB105) | v26(constB105)),
% 16.89/12.10 inference(unit_resolution,[status(thm)],[31345, 31344])).
% 16.89/12.10 tff(31347,plain,
% 16.89/12.10 ((~(v196(constB105) <=> (v197(constB105) | v26(constB105)))) | v196(constB105) | (~(v197(constB105) | v26(constB105)))),
% 16.89/12.10 inference(tautology,[status(thm)],[])).
% 16.89/12.10 tff(31348,plain,
% 16.89/12.10 (v196(constB105)),
% 16.89/12.10 inference(unit_resolution,[status(thm)],[31347, 31346, 31292])).
% 16.89/12.10 tff(31349,plain,
% 16.89/12.10 ((~((~v195(constB105)) <=> v196(constB105))) | (~v195(constB105)) | (~v196(constB105))),
% 16.89/12.10 inference(tautology,[status(thm)],[])).
% 16.89/12.10 tff(31350,plain,
% 16.89/12.10 (~v195(constB105)),
% 16.89/12.10 inference(unit_resolution,[status(thm)],[31349, 31348, 31290])).
% 16.89/12.10 tff(31351,plain,
% 16.89/12.10 (((~v157(constB105)) | (~v195(constB105))) | v195(constB105)),
% 16.89/12.10 inference(tautology,[status(thm)],[])).
% 16.89/12.10 tff(31352,plain,
% 16.89/12.10 ((~v157(constB105)) | (~v195(constB105))),
% 16.89/12.10 inference(unit_resolution,[status(thm)],[31351, 31350])).
% 16.89/12.10 tff(31353,plain,
% 16.89/12.10 ((~(v194(constB105) <=> (~((~v157(constB105)) | (~v195(constB105)))))) | (~v194(constB105)) | (~((~v157(constB105)) | (~v195(constB105))))),
% 16.89/12.10 inference(tautology,[status(thm)],[])).
% 16.89/12.10 tff(31354,plain,
% 16.89/12.10 (~v194(constB105)),
% 16.89/12.10 inference(unit_resolution,[status(thm)],[31353, 31352, 31288])).
% 16.89/12.10 tff(31355,plain,
% 16.89/12.10 ((~![VarCurr: $i] : (v198(VarCurr) <=> (~((~v199(VarCurr)) | (~v200(VarCurr)))))) | (v198(constB105) <=> (~((~v199(constB105)) | (~v200(constB105)))))),
% 16.89/12.10 inference(quant_inst,[status(thm)],[])).
% 16.89/12.10 tff(31356,plain,
% 16.89/12.10 (v198(constB105) <=> (~((~v199(constB105)) | (~v200(constB105))))),
% 16.89/12.10 inference(unit_resolution,[status(thm)],[31355, 96])).
% 16.89/12.10 tff(31357,plain,
% 16.89/12.10 ((~![VarCurr: $i] : (v200(VarCurr) <=> (~((~v197(VarCurr)) | (~v201(VarCurr)))))) | (v200(constB105) <=> (~((~v197(constB105)) | (~v201(constB105)))))),
% 16.89/12.10 inference(quant_inst,[status(thm)],[])).
% 16.89/12.10 tff(31358,plain,
% 16.89/12.10 (v200(constB105) <=> (~((~v197(constB105)) | (~v201(constB105))))),
% 16.89/12.10 inference(unit_resolution,[status(thm)],[31357, 108])).
% 16.89/12.10 tff(31359,plain,
% 16.89/12.10 ((~![VarCurr: $i] : (v201(VarCurr) <=> (~((~v159(VarCurr)) | (~v161(VarCurr)))))) | (v201(constB105) <=> (~((~v159(constB105)) | (~v161(constB105)))))),
% 16.89/12.10 inference(quant_inst,[status(thm)],[])).
% 16.89/12.10 tff(31360,plain,
% 16.89/12.10 (v201(constB105) <=> (~((~v159(constB105)) | (~v161(constB105))))),
% 16.89/12.10 inference(unit_resolution,[status(thm)],[31359, 348])).
% 16.89/12.10 tff(31361,plain,
% 16.89/12.10 ((~![VarCurr: $i] : (v161(VarCurr) <=> v163(VarCurr))) | (v161(constB105) <=> v163(constB105))),
% 16.89/12.10 inference(quant_inst,[status(thm)],[])).
% 16.89/12.10 tff(31362,plain,
% 16.89/12.10 (v161(constB105) <=> v163(constB105)),
% 16.89/12.10 inference(unit_resolution,[status(thm)],[31361, 357])).
% 16.89/12.10 tff(31363,plain,
% 16.89/12.10 ((~![VarCurr: $i] : (v171(VarCurr) <=> (v142(VarCurr) | v150(VarCurr)))) | (v171(constB105) <=> (v142(constB105) | v150(constB105)))),
% 16.89/12.10 inference(quant_inst,[status(thm)],[])).
% 16.89/12.10 tff(31364,plain,
% 16.89/12.10 (v171(constB105) <=> (v142(constB105) | v150(constB105))),
% 16.89/12.10 inference(unit_resolution,[status(thm)],[31363, 369])).
% 16.89/12.10 tff(31365,plain,
% 16.89/12.10 ((~![VarCurr: $i] : (v142(VarCurr) <=> (v143(VarCurr) | v144(VarCurr)))) | (v142(constB105) <=> (v143(constB105) | v144(constB105)))),
% 16.89/12.10 inference(quant_inst,[status(thm)],[])).
% 16.89/12.10 tff(31366,plain,
% 16.89/12.10 (v142(constB105) <=> (v143(constB105) | v144(constB105))),
% 16.89/12.10 inference(unit_resolution,[status(thm)],[31365, 378])).
% 16.89/12.10 tff(31367,plain,
% 16.89/12.10 (((~![VarCurr: $i] : (v144(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex2)))))) | (v144(constB105) <=> (~((~v88(constB105, bitIndex2)) | (~v88(constB105, bitIndex1)) | v88(constB105, bitIndex0))))) <=> ((~![VarCurr: $i] : (v144(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex2)))))) | (v144(constB105) <=> (~((~v88(constB105, bitIndex2)) | (~v88(constB105, bitIndex1)) | v88(constB105, bitIndex0)))))),
% 16.89/12.10 inference(rewrite,[status(thm)],[])).
% 16.89/12.10 tff(31368,plain,
% 16.89/12.10 ((v144(constB105) <=> (~(v88(constB105, bitIndex0) | (~v88(constB105, bitIndex1)) | (~v88(constB105, bitIndex2))))) <=> (v144(constB105) <=> (~((~v88(constB105, bitIndex2)) | (~v88(constB105, bitIndex1)) | v88(constB105, bitIndex0))))),
% 16.89/12.10 inference(rewrite,[status(thm)],[])).
% 16.89/12.10 tff(31369,plain,
% 16.89/12.10 (((~![VarCurr: $i] : (v144(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex2)))))) | (v144(constB105) <=> (~(v88(constB105, bitIndex0) | (~v88(constB105, bitIndex1)) | (~v88(constB105, bitIndex2)))))) <=> ((~![VarCurr: $i] : (v144(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex2)))))) | (v144(constB105) <=> (~((~v88(constB105, bitIndex2)) | (~v88(constB105, bitIndex1)) | v88(constB105, bitIndex0)))))),
% 16.89/12.10 inference(monotonicity,[status(thm)],[31368])).
% 16.89/12.10 tff(31370,plain,
% 16.89/12.10 (((~![VarCurr: $i] : (v144(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex2)))))) | (v144(constB105) <=> (~(v88(constB105, bitIndex0) | (~v88(constB105, bitIndex1)) | (~v88(constB105, bitIndex2)))))) <=> ((~![VarCurr: $i] : (v144(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex2)))))) | (v144(constB105) <=> (~((~v88(constB105, bitIndex2)) | (~v88(constB105, bitIndex1)) | v88(constB105, bitIndex0)))))),
% 16.89/12.10 inference(transitivity,[status(thm)],[31369, 31367])).
% 16.89/12.10 tff(31371,plain,
% 16.89/12.10 ((~![VarCurr: $i] : (v144(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex2)))))) | (v144(constB105) <=> (~(v88(constB105, bitIndex0) | (~v88(constB105, bitIndex1)) | (~v88(constB105, bitIndex2)))))),
% 16.89/12.10 inference(quant_inst,[status(thm)],[])).
% 16.89/12.10 tff(31372,plain,
% 16.89/12.10 ((~![VarCurr: $i] : (v144(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex2)))))) | (v144(constB105) <=> (~((~v88(constB105, bitIndex2)) | (~v88(constB105, bitIndex1)) | v88(constB105, bitIndex0))))),
% 16.89/12.10 inference(modus_ponens,[status(thm)],[31371, 31370])).
% 16.89/12.10 tff(31373,plain,
% 16.89/12.10 (v144(constB105) <=> (~((~v88(constB105, bitIndex2)) | (~v88(constB105, bitIndex1)) | v88(constB105, bitIndex0)))),
% 16.89/12.10 inference(unit_resolution,[status(thm)],[31372, 393])).
% 16.89/12.10 tff(31374,plain,
% 16.89/12.10 (((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | ((~less_3(bitIndex2)) | (v88(constB105, bitIndex2) <=> v90(constB105, bitIndex2)))) <=> ((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | (~less_3(bitIndex2)) | (v88(constB105, bitIndex2) <=> v90(constB105, bitIndex2)))),
% 16.89/12.10 inference(rewrite,[status(thm)],[])).
% 16.89/12.10 tff(31375,plain,
% 16.89/12.10 ((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | ((~less_3(bitIndex2)) | (v88(constB105, bitIndex2) <=> v90(constB105, bitIndex2)))),
% 16.89/12.10 inference(quant_inst,[status(thm)],[])).
% 16.89/12.10 tff(31376,plain,
% 16.89/12.10 ((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | (~less_3(bitIndex2)) | (v88(constB105, bitIndex2) <=> v90(constB105, bitIndex2))),
% 16.89/12.10 inference(modus_ponens,[status(thm)],[31375, 31374])).
% 16.89/12.10 tff(31377,plain,
% 16.89/12.10 (v88(constB105, bitIndex2) <=> v90(constB105, bitIndex2)),
% 16.89/12.10 inference(unit_resolution,[status(thm)],[31376, 413, 410])).
% 16.89/12.10 tff(31378,plain,
% 16.89/12.10 ((~(v88(constB105, bitIndex2) <=> v90(constB105, bitIndex2))) | v88(constB105, bitIndex2) | (~v90(constB105, bitIndex2))),
% 16.89/12.10 inference(tautology,[status(thm)],[])).
% 16.89/12.10 tff(31379,plain,
% 16.89/12.10 (v88(constB105, bitIndex2)),
% 16.89/12.10 inference(unit_resolution,[status(thm)],[31378, 16873, 31377])).
% 16.89/12.10 tff(31380,plain,
% 16.89/12.10 (((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | ((~less_3(bitIndex0)) | (v88(constB105, bitIndex0) <=> v90(constB105, bitIndex0)))) <=> ((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | (~less_3(bitIndex0)) | (v88(constB105, bitIndex0) <=> v90(constB105, bitIndex0)))),
% 16.89/12.10 inference(rewrite,[status(thm)],[])).
% 16.89/12.10 tff(31381,plain,
% 16.89/12.10 ((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | ((~less_3(bitIndex0)) | (v88(constB105, bitIndex0) <=> v90(constB105, bitIndex0)))),
% 16.89/12.10 inference(quant_inst,[status(thm)],[])).
% 16.89/12.10 tff(31382,plain,
% 16.89/12.10 ((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | (~less_3(bitIndex0)) | (v88(constB105, bitIndex0) <=> v90(constB105, bitIndex0))),
% 16.89/12.10 inference(modus_ponens,[status(thm)],[31381, 31380])).
% 16.89/12.10 tff(31383,plain,
% 16.89/12.10 (v88(constB105, bitIndex0) <=> v90(constB105, bitIndex0)),
% 16.89/12.10 inference(unit_resolution,[status(thm)],[31382, 5004, 410])).
% 16.89/12.10 tff(31384,plain,
% 16.89/12.10 ((~(v88(constB105, bitIndex0) <=> v90(constB105, bitIndex0))) | (~v88(constB105, bitIndex0)) | v90(constB105, bitIndex0)),
% 16.89/12.10 inference(tautology,[status(thm)],[])).
% 16.89/12.10 tff(31385,plain,
% 16.89/12.10 (~v88(constB105, bitIndex0)),
% 16.89/12.10 inference(unit_resolution,[status(thm)],[31384, 16904, 31383])).
% 16.89/12.10 tff(31386,plain,
% 16.89/12.10 (((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | ((~less_3(bitIndex1)) | (v88(constB105, bitIndex1) <=> v90(constB105, bitIndex1)))) <=> ((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | (~less_3(bitIndex1)) | (v88(constB105, bitIndex1) <=> v90(constB105, bitIndex1)))),
% 16.89/12.10 inference(rewrite,[status(thm)],[])).
% 16.89/12.10 tff(31387,plain,
% 16.89/12.10 ((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | ((~less_3(bitIndex1)) | (v88(constB105, bitIndex1) <=> v90(constB105, bitIndex1)))),
% 16.89/12.10 inference(quant_inst,[status(thm)],[])).
% 16.89/12.10 tff(31388,plain,
% 16.89/12.10 ((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | (~less_3(bitIndex1)) | (v88(constB105, bitIndex1) <=> v90(constB105, bitIndex1))),
% 16.89/12.10 inference(modus_ponens,[status(thm)],[31387, 31386])).
% 16.89/12.10 tff(31389,plain,
% 16.89/12.10 (v88(constB105, bitIndex1) <=> v90(constB105, bitIndex1)),
% 16.89/12.10 inference(unit_resolution,[status(thm)],[31388, 5017, 410])).
% 16.89/12.10 tff(31390,plain,
% 16.89/12.10 ((~(v88(constB105, bitIndex1) <=> v90(constB105, bitIndex1))) | v88(constB105, bitIndex1) | (~v90(constB105, bitIndex1))),
% 16.89/12.10 inference(tautology,[status(thm)],[])).
% 16.89/12.10 tff(31391,plain,
% 16.89/12.10 (v88(constB105, bitIndex1)),
% 16.89/12.10 inference(unit_resolution,[status(thm)],[31390, 16935, 31389])).
% 16.89/12.10 tff(31392,plain,
% 16.89/12.10 ((~((~v88(constB105, bitIndex2)) | (~v88(constB105, bitIndex1)) | v88(constB105, bitIndex0))) | (~v88(constB105, bitIndex2)) | (~v88(constB105, bitIndex1)) | v88(constB105, bitIndex0)),
% 16.89/12.10 inference(tautology,[status(thm)],[])).
% 16.89/12.10 tff(31393,plain,
% 16.89/12.10 (~((~v88(constB105, bitIndex2)) | (~v88(constB105, bitIndex1)) | v88(constB105, bitIndex0))),
% 16.89/12.10 inference(unit_resolution,[status(thm)],[31392, 31391, 31385, 31379])).
% 16.89/12.10 tff(31394,plain,
% 16.89/12.10 ((~(v144(constB105) <=> (~((~v88(constB105, bitIndex2)) | (~v88(constB105, bitIndex1)) | v88(constB105, bitIndex0))))) | v144(constB105) | ((~v88(constB105, bitIndex2)) | (~v88(constB105, bitIndex1)) | v88(constB105, bitIndex0))),
% 16.89/12.10 inference(tautology,[status(thm)],[])).
% 16.89/12.10 tff(31395,plain,
% 16.89/12.10 (v144(constB105)),
% 16.89/12.10 inference(unit_resolution,[status(thm)],[31394, 31393, 31373])).
% 16.89/12.10 tff(31396,plain,
% 16.89/12.11 ((v143(constB105) | v144(constB105)) | (~v144(constB105))),
% 16.89/12.11 inference(tautology,[status(thm)],[])).
% 16.89/12.11 tff(31397,plain,
% 16.89/12.11 (v143(constB105) | v144(constB105)),
% 16.89/12.11 inference(unit_resolution,[status(thm)],[31396, 31395])).
% 16.89/12.11 tff(31398,plain,
% 16.89/12.11 ((~(v142(constB105) <=> (v143(constB105) | v144(constB105)))) | v142(constB105) | (~(v143(constB105) | v144(constB105)))),
% 16.89/12.11 inference(tautology,[status(thm)],[])).
% 16.89/12.11 tff(31399,plain,
% 16.89/12.11 (v142(constB105)),
% 16.89/12.11 inference(unit_resolution,[status(thm)],[31398, 31397, 31366])).
% 16.89/12.11 tff(31400,plain,
% 16.89/12.11 ((v142(constB105) | v150(constB105)) | (~v142(constB105))),
% 16.89/12.11 inference(tautology,[status(thm)],[])).
% 16.89/12.11 tff(31401,plain,
% 16.89/12.11 (v142(constB105) | v150(constB105)),
% 16.89/12.11 inference(unit_resolution,[status(thm)],[31400, 31399])).
% 16.89/12.11 tff(31402,plain,
% 16.89/12.11 ((~(v171(constB105) <=> (v142(constB105) | v150(constB105)))) | v171(constB105) | (~(v142(constB105) | v150(constB105)))),
% 16.89/12.11 inference(tautology,[status(thm)],[])).
% 16.89/12.11 tff(31403,plain,
% 16.89/12.11 (v171(constB105)),
% 16.89/12.11 inference(unit_resolution,[status(thm)],[31402, 31401, 31364])).
% 16.89/12.11 tff(31404,plain,
% 16.89/12.11 (((~![VarCurr: $i] : ((~v171(VarCurr)) | (~v170(VarCurr)))) | ((~v170(constB105)) | (~v171(constB105)))) <=> ((~![VarCurr: $i] : ((~v171(VarCurr)) | (~v170(VarCurr)))) | (~v170(constB105)) | (~v171(constB105)))),
% 16.89/12.11 inference(rewrite,[status(thm)],[])).
% 16.89/12.11 tff(31405,plain,
% 16.89/12.11 (((~v171(constB105)) | (~v170(constB105))) <=> ((~v170(constB105)) | (~v171(constB105)))),
% 16.89/12.11 inference(rewrite,[status(thm)],[])).
% 16.89/12.11 tff(31406,plain,
% 16.89/12.11 (((~![VarCurr: $i] : ((~v171(VarCurr)) | (~v170(VarCurr)))) | ((~v171(constB105)) | (~v170(constB105)))) <=> ((~![VarCurr: $i] : ((~v171(VarCurr)) | (~v170(VarCurr)))) | ((~v170(constB105)) | (~v171(constB105))))),
% 16.89/12.11 inference(monotonicity,[status(thm)],[31405])).
% 16.89/12.11 tff(31407,plain,
% 16.89/12.11 (((~![VarCurr: $i] : ((~v171(VarCurr)) | (~v170(VarCurr)))) | ((~v171(constB105)) | (~v170(constB105)))) <=> ((~![VarCurr: $i] : ((~v171(VarCurr)) | (~v170(VarCurr)))) | (~v170(constB105)) | (~v171(constB105)))),
% 16.89/12.11 inference(transitivity,[status(thm)],[31406, 31404])).
% 16.89/12.11 tff(31408,plain,
% 16.89/12.11 ((~![VarCurr: $i] : ((~v171(VarCurr)) | (~v170(VarCurr)))) | ((~v171(constB105)) | (~v170(constB105)))),
% 16.89/12.11 inference(quant_inst,[status(thm)],[])).
% 16.89/12.11 tff(31409,plain,
% 16.89/12.11 ((~![VarCurr: $i] : ((~v171(VarCurr)) | (~v170(VarCurr)))) | (~v170(constB105)) | (~v171(constB105))),
% 16.89/12.11 inference(modus_ponens,[status(thm)],[31408, 31407])).
% 16.89/12.11 tff(31410,plain,
% 16.89/12.11 ((~v170(constB105)) | (~v171(constB105))),
% 16.89/12.11 inference(unit_resolution,[status(thm)],[31409, 13061])).
% 16.89/12.11 tff(31411,plain,
% 16.89/12.11 (~v170(constB105)),
% 16.89/12.11 inference(unit_resolution,[status(thm)],[31410, 31403])).
% 16.89/12.11 tff(31412,plain,
% 16.89/12.11 ((~![VarCurr: $i] : (v166(VarCurr) <=> (v145(VarCurr) | v167(VarCurr)))) | (v166(constB105) <=> (v145(constB105) | v167(constB105)))),
% 16.89/12.11 inference(quant_inst,[status(thm)],[])).
% 16.89/12.11 tff(31413,plain,
% 16.89/12.11 (v166(constB105) <=> (v145(constB105) | v167(constB105))),
% 16.89/12.11 inference(unit_resolution,[status(thm)],[31412, 13079])).
% 16.89/12.11 tff(31414,plain,
% 16.89/12.11 ((~![VarCurr: $i] : (v167(VarCurr) <=> (v142(VarCurr) | v168(VarCurr)))) | (v167(constB105) <=> (v142(constB105) | v168(constB105)))),
% 16.89/12.11 inference(quant_inst,[status(thm)],[])).
% 16.89/12.11 tff(31415,plain,
% 16.89/12.11 (v167(constB105) <=> (v142(constB105) | v168(constB105))),
% 16.89/12.11 inference(unit_resolution,[status(thm)],[31414, 13091])).
% 16.89/12.11 tff(31416,plain,
% 16.89/12.11 ((v142(constB105) | v168(constB105)) | (~v142(constB105))),
% 16.89/12.11 inference(tautology,[status(thm)],[])).
% 16.89/12.11 tff(31417,plain,
% 16.89/12.11 (v142(constB105) | v168(constB105)),
% 16.89/12.11 inference(unit_resolution,[status(thm)],[31416, 31399])).
% 16.89/12.11 tff(31418,plain,
% 16.89/12.11 ((~(v167(constB105) <=> (v142(constB105) | v168(constB105)))) | v167(constB105) | (~(v142(constB105) | v168(constB105)))),
% 16.89/12.11 inference(tautology,[status(thm)],[])).
% 16.89/12.11 tff(31419,plain,
% 16.89/12.11 (v167(constB105)),
% 16.89/12.11 inference(unit_resolution,[status(thm)],[31418, 31417, 31415])).
% 16.89/12.11 tff(31420,plain,
% 16.89/12.11 ((v145(constB105) | v167(constB105)) | (~v167(constB105))),
% 16.89/12.11 inference(tautology,[status(thm)],[])).
% 16.89/12.11 tff(31421,plain,
% 16.89/12.11 (v145(constB105) | v167(constB105)),
% 16.89/12.11 inference(unit_resolution,[status(thm)],[31420, 31419])).
% 16.89/12.11 tff(31422,plain,
% 16.89/12.11 ((~(v166(constB105) <=> (v145(constB105) | v167(constB105)))) | v166(constB105) | (~(v145(constB105) | v167(constB105)))),
% 16.89/12.11 inference(tautology,[status(thm)],[])).
% 16.89/12.11 tff(31423,plain,
% 16.89/12.11 (v166(constB105)),
% 16.89/12.11 inference(unit_resolution,[status(thm)],[31422, 31421, 31413])).
% 16.89/12.11 tff(31424,plain,
% 16.89/12.11 (((~![VarNext: $i] : ((~v166(VarNext)) | (v163(VarNext) <=> v170(VarNext)))) | ((~v166(constB105)) | (v163(constB105) <=> v170(constB105)))) <=> ((~![VarNext: $i] : ((~v166(VarNext)) | (v163(VarNext) <=> v170(VarNext)))) | (~v166(constB105)) | (v163(constB105) <=> v170(constB105)))),
% 16.89/12.11 inference(rewrite,[status(thm)],[])).
% 16.89/12.11 tff(31425,plain,
% 16.89/12.11 ((~![VarNext: $i] : ((~v166(VarNext)) | (v163(VarNext) <=> v170(VarNext)))) | ((~v166(constB105)) | (v163(constB105) <=> v170(constB105)))),
% 16.89/12.11 inference(quant_inst,[status(thm)],[])).
% 16.89/12.11 tff(31426,plain,
% 16.89/12.11 ((~![VarNext: $i] : ((~v166(VarNext)) | (v163(VarNext) <=> v170(VarNext)))) | (~v166(constB105)) | (v163(constB105) <=> v170(constB105))),
% 16.89/12.11 inference(modus_ponens,[status(thm)],[31425, 31424])).
% 16.89/12.11 tff(31427,plain,
% 16.89/12.11 ((~v166(constB105)) | (v163(constB105) <=> v170(constB105))),
% 16.89/12.11 inference(unit_resolution,[status(thm)],[31426, 13111])).
% 16.89/12.11 tff(31428,plain,
% 16.89/12.11 (v163(constB105) <=> v170(constB105)),
% 16.89/12.11 inference(unit_resolution,[status(thm)],[31427, 31423])).
% 16.89/12.11 tff(31429,plain,
% 16.89/12.11 ((~(v163(constB105) <=> v170(constB105))) | (~v163(constB105)) | v170(constB105)),
% 16.89/12.11 inference(tautology,[status(thm)],[])).
% 16.89/12.11 tff(31430,plain,
% 16.89/12.11 (~v163(constB105)),
% 16.89/12.11 inference(unit_resolution,[status(thm)],[31429, 31428, 31411])).
% 16.89/12.11 tff(31431,plain,
% 16.89/12.11 ((~(v161(constB105) <=> v163(constB105))) | (~v161(constB105)) | v163(constB105)),
% 16.89/12.11 inference(tautology,[status(thm)],[])).
% 16.89/12.11 tff(31432,plain,
% 16.89/12.11 (~v161(constB105)),
% 16.89/12.11 inference(unit_resolution,[status(thm)],[31431, 31430, 31362])).
% 16.89/12.11 tff(31433,plain,
% 16.89/12.11 (((~v159(constB105)) | (~v161(constB105))) | v161(constB105)),
% 16.89/12.11 inference(tautology,[status(thm)],[])).
% 16.89/12.11 tff(31434,plain,
% 16.89/12.11 ((~v159(constB105)) | (~v161(constB105))),
% 16.89/12.11 inference(unit_resolution,[status(thm)],[31433, 31432])).
% 16.89/12.11 tff(31435,plain,
% 16.89/12.11 ((~(v201(constB105) <=> (~((~v159(constB105)) | (~v161(constB105)))))) | (~v201(constB105)) | (~((~v159(constB105)) | (~v161(constB105))))),
% 16.89/12.11 inference(tautology,[status(thm)],[])).
% 16.89/12.11 tff(31436,plain,
% 16.89/12.11 (~v201(constB105)),
% 16.89/12.11 inference(unit_resolution,[status(thm)],[31435, 31434, 31360])).
% 16.89/12.11 tff(31437,plain,
% 16.89/12.11 (((~v197(constB105)) | (~v201(constB105))) | v201(constB105)),
% 16.89/12.11 inference(tautology,[status(thm)],[])).
% 16.89/12.11 tff(31438,plain,
% 16.89/12.11 ((~v197(constB105)) | (~v201(constB105))),
% 16.89/12.11 inference(unit_resolution,[status(thm)],[31437, 31436])).
% 16.89/12.11 tff(31439,plain,
% 16.89/12.11 ((~(v200(constB105) <=> (~((~v197(constB105)) | (~v201(constB105)))))) | (~v200(constB105)) | (~((~v197(constB105)) | (~v201(constB105))))),
% 16.89/12.11 inference(tautology,[status(thm)],[])).
% 16.89/12.11 tff(31440,plain,
% 16.89/12.11 (~v200(constB105)),
% 16.89/12.11 inference(unit_resolution,[status(thm)],[31439, 31438, 31358])).
% 16.89/12.11 tff(31441,plain,
% 16.89/12.11 (((~v199(constB105)) | (~v200(constB105))) | v200(constB105)),
% 16.89/12.11 inference(tautology,[status(thm)],[])).
% 16.89/12.11 tff(31442,plain,
% 16.89/12.11 ((~v199(constB105)) | (~v200(constB105))),
% 16.89/12.11 inference(unit_resolution,[status(thm)],[31441, 31440])).
% 16.89/12.11 tff(31443,plain,
% 16.89/12.11 ((~(v198(constB105) <=> (~((~v199(constB105)) | (~v200(constB105)))))) | (~v198(constB105)) | (~((~v199(constB105)) | (~v200(constB105))))),
% 16.89/12.11 inference(tautology,[status(thm)],[])).
% 16.89/12.11 tff(31444,plain,
% 16.89/12.11 (~v198(constB105)),
% 16.89/12.11 inference(unit_resolution,[status(thm)],[31443, 31442, 31356])).
% 16.89/12.11 tff(31445,plain,
% 16.89/12.11 ((~(v194(constB105) | v198(constB105))) | v194(constB105) | v198(constB105)),
% 16.89/12.11 inference(tautology,[status(thm)],[])).
% 16.89/12.11 tff(31446,plain,
% 16.89/12.11 (~(v194(constB105) | v198(constB105))),
% 16.89/12.11 inference(unit_resolution,[status(thm)],[31445, 31444, 31354])).
% 16.89/12.11 tff(31447,plain,
% 16.89/12.11 ((~(v191(constB105) <=> (v194(constB105) | v198(constB105)))) | (~v191(constB105)) | (v194(constB105) | v198(constB105))),
% 16.89/12.11 inference(tautology,[status(thm)],[])).
% 16.89/12.11 tff(31448,plain,
% 16.89/12.11 (~v191(constB105)),
% 16.91/12.11 inference(unit_resolution,[status(thm)],[31447, 31446, 31281])).
% 16.91/12.11 tff(31449,plain,
% 16.91/12.11 ((~(v193(constB106) <=> v191(constB105))) | (~v193(constB106)) | v191(constB105)),
% 16.91/12.11 inference(tautology,[status(thm)],[])).
% 16.91/12.11 tff(31450,plain,
% 16.91/12.11 (~v193(constB106)),
% 16.91/12.11 inference(unit_resolution,[status(thm)],[31449, 31448, 31279])).
% 16.91/12.11 tff(31451,plain,
% 16.91/12.11 ((~(v157(constB106) <=> v193(constB106))) | (~v157(constB106)) | v193(constB106)),
% 16.91/12.11 inference(tautology,[status(thm)],[])).
% 16.91/12.11 tff(31452,plain,
% 16.91/12.11 (~v157(constB106)),
% 16.91/12.11 inference(unit_resolution,[status(thm)],[31451, 31450, 31275])).
% 16.91/12.11 tff(31453,plain,
% 16.91/12.11 (((~v157(constB106)) | (~v195(constB106))) | v157(constB106)),
% 16.91/12.11 inference(tautology,[status(thm)],[])).
% 16.91/12.11 tff(31454,plain,
% 16.91/12.11 ((~v157(constB106)) | (~v195(constB106))),
% 16.91/12.11 inference(unit_resolution,[status(thm)],[31453, 31452])).
% 16.91/12.11 tff(31455,plain,
% 16.91/12.11 ((~(v194(constB106) <=> (~((~v157(constB106)) | (~v195(constB106)))))) | (~v194(constB106)) | (~((~v157(constB106)) | (~v195(constB106))))),
% 16.91/12.11 inference(tautology,[status(thm)],[])).
% 16.91/12.11 tff(31456,plain,
% 16.91/12.11 (~v194(constB106)),
% 16.91/12.11 inference(unit_resolution,[status(thm)],[31455, 31454, 31273])).
% 16.91/12.11 tff(31457,plain,
% 16.91/12.11 ((~(v194(constB106) | v198(constB106))) | v194(constB106) | v198(constB106)),
% 16.91/12.11 inference(tautology,[status(thm)],[])).
% 16.91/12.11 tff(31458,plain,
% 16.91/12.11 (~(v194(constB106) | v198(constB106))),
% 16.91/12.11 inference(unit_resolution,[status(thm)],[31457, 31456, 31266])).
% 16.91/12.11 tff(31459,plain,
% 16.91/12.11 ((~(v191(constB106) <=> (v194(constB106) | v198(constB106)))) | (~v191(constB106)) | (v194(constB106) | v198(constB106))),
% 16.91/12.11 inference(tautology,[status(thm)],[])).
% 16.91/12.11 tff(31460,plain,
% 16.91/12.11 (~v191(constB106)),
% 16.91/12.11 inference(unit_resolution,[status(thm)],[31459, 31458, 31241])).
% 16.91/12.11 tff(31461,plain,
% 16.91/12.11 ((~(v193(constB107) <=> v191(constB106))) | (~v193(constB107)) | v191(constB106)),
% 16.91/12.11 inference(tautology,[status(thm)],[])).
% 16.91/12.11 tff(31462,plain,
% 16.91/12.11 (~v193(constB107)),
% 16.91/12.11 inference(unit_resolution,[status(thm)],[31461, 31460, 31239])).
% 16.91/12.11 tff(31463,plain,
% 16.91/12.11 ($false),
% 16.91/12.11 inference(unit_resolution,[status(thm)],[31462, 31235])).
% 16.91/12.11 tff(31464,plain,(~(constB107 = VarCurr!0)), inference(lemma,lemma(discharge,[]))).
% 16.91/12.11 tff(31465,assumption,(constB135 = VarCurr!0), introduced(assumption)).
% 16.91/12.11 tff(31466,plain,
% 16.91/12.11 (v86(constB135) <=> v86(VarCurr!0)),
% 16.91/12.11 inference(monotonicity,[status(thm)],[31465])).
% 16.91/12.11 tff(31467,plain,
% 16.91/12.11 (v86(VarCurr!0) <=> v86(constB135)),
% 16.91/12.11 inference(symmetry,[status(thm)],[31466])).
% 16.91/12.11 tff(31468,plain,
% 16.91/12.11 ((~v86(VarCurr!0)) <=> (~v86(constB135))),
% 16.91/12.11 inference(monotonicity,[status(thm)],[31467])).
% 16.91/12.11 tff(31469,plain,
% 16.91/12.11 (~v86(constB135)),
% 16.91/12.11 inference(modus_ponens,[status(thm)],[20649, 31468])).
% 16.91/12.11 tff(31470,plain,
% 16.91/12.11 (((~![VarCurr: $i] : (v148(VarCurr) | (~v142(VarCurr)))) | (v148(constB135) | (~v142(constB135)))) <=> ((~![VarCurr: $i] : (v148(VarCurr) | (~v142(VarCurr)))) | v148(constB135) | (~v142(constB135)))),
% 16.91/12.11 inference(rewrite,[status(thm)],[])).
% 16.91/12.11 tff(31471,plain,
% 16.91/12.11 ((~![VarCurr: $i] : (v148(VarCurr) | (~v142(VarCurr)))) | (v148(constB135) | (~v142(constB135)))),
% 16.91/12.11 inference(quant_inst,[status(thm)],[])).
% 16.91/12.11 tff(31472,plain,
% 16.91/12.11 ((~![VarCurr: $i] : (v148(VarCurr) | (~v142(VarCurr)))) | v148(constB135) | (~v142(constB135))),
% 16.91/12.11 inference(modus_ponens,[status(thm)],[31471, 31470])).
% 16.91/12.11 tff(31473,plain,
% 16.91/12.11 (v148(constB135) | (~v142(constB135))),
% 16.91/12.11 inference(unit_resolution,[status(thm)],[31472, 23525])).
% 16.91/12.11 tff(31474,plain,
% 16.91/12.11 (v148(constB135)),
% 16.91/12.11 inference(unit_resolution,[status(thm)],[31473, 27798])).
% 16.91/12.11 tff(31475,plain,
% 16.91/12.11 ((~![VarCurr: $i] : (v135(VarCurr) <=> (v136(VarCurr) | v145(VarCurr)))) | (v135(constB135) <=> (v136(constB135) | v145(constB135)))),
% 16.91/12.11 inference(quant_inst,[status(thm)],[])).
% 16.91/12.11 tff(31476,plain,
% 16.91/12.11 (v135(constB135) <=> (v136(constB135) | v145(constB135))),
% 16.91/12.11 inference(unit_resolution,[status(thm)],[31475, 23537])).
% 16.91/12.11 tff(31477,plain,
% 16.91/12.11 ((~![VarCurr: $i] : (v136(VarCurr) <=> (v137(VarCurr) | v142(VarCurr)))) | (v136(constB135) <=> (v137(constB135) | v142(constB135)))),
% 16.91/12.11 inference(quant_inst,[status(thm)],[])).
% 16.91/12.11 tff(31478,plain,
% 16.91/12.11 (v136(constB135) <=> (v137(constB135) | v142(constB135))),
% 16.91/12.11 inference(unit_resolution,[status(thm)],[31477, 23546])).
% 16.91/12.11 tff(31479,plain,
% 16.91/12.11 ((v137(constB135) | v142(constB135)) | (~v142(constB135))),
% 16.91/12.11 inference(tautology,[status(thm)],[])).
% 16.91/12.11 tff(31480,plain,
% 16.91/12.11 (v137(constB135) | v142(constB135)),
% 16.91/12.11 inference(unit_resolution,[status(thm)],[31479, 27798])).
% 16.91/12.11 tff(31481,plain,
% 16.91/12.11 ((~(v136(constB135) <=> (v137(constB135) | v142(constB135)))) | v136(constB135) | (~(v137(constB135) | v142(constB135)))),
% 16.91/12.11 inference(tautology,[status(thm)],[])).
% 16.91/12.11 tff(31482,plain,
% 16.91/12.11 (v136(constB135)),
% 16.91/12.11 inference(unit_resolution,[status(thm)],[31481, 31480, 31478])).
% 16.91/12.11 tff(31483,plain,
% 16.91/12.11 ((v136(constB135) | v145(constB135)) | (~v136(constB135))),
% 16.91/12.11 inference(tautology,[status(thm)],[])).
% 16.91/12.11 tff(31484,plain,
% 16.91/12.11 (v136(constB135) | v145(constB135)),
% 16.91/12.11 inference(unit_resolution,[status(thm)],[31483, 31482])).
% 16.91/12.11 tff(31485,plain,
% 16.91/12.11 ((~(v135(constB135) <=> (v136(constB135) | v145(constB135)))) | v135(constB135) | (~(v136(constB135) | v145(constB135)))),
% 16.91/12.11 inference(tautology,[status(thm)],[])).
% 16.91/12.11 tff(31486,plain,
% 16.91/12.11 (v135(constB135)),
% 16.91/12.11 inference(unit_resolution,[status(thm)],[31485, 31484, 31476])).
% 16.91/12.11 tff(31487,plain,
% 16.91/12.11 (((~![VarNext: $i] : ((~v135(VarNext)) | (v86(VarNext) <=> v148(VarNext)))) | ((~v135(constB135)) | (v86(constB135) <=> v148(constB135)))) <=> ((~![VarNext: $i] : ((~v135(VarNext)) | (v86(VarNext) <=> v148(VarNext)))) | (~v135(constB135)) | (v86(constB135) <=> v148(constB135)))),
% 16.91/12.11 inference(rewrite,[status(thm)],[])).
% 16.91/12.11 tff(31488,plain,
% 16.91/12.11 ((~![VarNext: $i] : ((~v135(VarNext)) | (v86(VarNext) <=> v148(VarNext)))) | ((~v135(constB135)) | (v86(constB135) <=> v148(constB135)))),
% 16.91/12.11 inference(quant_inst,[status(thm)],[])).
% 16.91/12.11 tff(31489,plain,
% 16.91/12.11 ((~![VarNext: $i] : ((~v135(VarNext)) | (v86(VarNext) <=> v148(VarNext)))) | (~v135(constB135)) | (v86(constB135) <=> v148(constB135))),
% 16.91/12.11 inference(modus_ponens,[status(thm)],[31488, 31487])).
% 16.91/12.11 tff(31490,plain,
% 16.91/12.11 ((~v135(constB135)) | (v86(constB135) <=> v148(constB135))),
% 16.91/12.11 inference(unit_resolution,[status(thm)],[31489, 23566])).
% 16.91/12.11 tff(31491,plain,
% 16.91/12.11 (v86(constB135) <=> v148(constB135)),
% 16.91/12.11 inference(unit_resolution,[status(thm)],[31490, 31486])).
% 16.91/12.11 tff(31492,plain,
% 16.91/12.11 ((~(v86(constB135) <=> v148(constB135))) | v86(constB135) | (~v148(constB135))),
% 16.91/12.11 inference(tautology,[status(thm)],[])).
% 16.91/12.11 tff(31493,plain,
% 16.91/12.11 (v86(constB135)),
% 16.91/12.11 inference(unit_resolution,[status(thm)],[31492, 31491, 31474])).
% 16.91/12.11 tff(31494,plain,
% 16.91/12.11 ($false),
% 16.91/12.11 inference(unit_resolution,[status(thm)],[31493, 31469])).
% 16.91/12.11 tff(31495,plain,(~(constB135 = VarCurr!0)), inference(lemma,lemma(discharge,[]))).
% 16.91/12.11 tff(31496,assumption,(constB41 = VarCurr!0), introduced(assumption)).
% 16.91/12.11 tff(31497,plain,
% 16.91/12.11 (v193(constB41) <=> v193(VarCurr!0)),
% 16.91/12.11 inference(monotonicity,[status(thm)],[31496])).
% 16.91/12.11 tff(31498,plain,
% 16.91/12.11 (v193(VarCurr!0) <=> v193(constB41)),
% 16.91/12.11 inference(symmetry,[status(thm)],[31497])).
% 16.91/12.11 tff(31499,plain,
% 16.91/12.11 (v193(constB41)),
% 16.91/12.11 inference(modus_ponens,[status(thm)],[59, 31498])).
% 16.91/12.11 tff(31500,plain,
% 16.91/12.11 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v193(VarNext) <=> v191(VarCurr)))) | ((~nextState(constB40, constB41)) | (v193(constB41) <=> v191(constB40)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v193(VarNext) <=> v191(VarCurr)))) | (~nextState(constB40, constB41)) | (v193(constB41) <=> v191(constB40)))),
% 16.91/12.11 inference(rewrite,[status(thm)],[])).
% 16.91/12.11 tff(31501,plain,
% 16.91/12.11 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v193(VarNext) <=> v191(VarCurr)))) | ((~nextState(constB40, constB41)) | (v193(constB41) <=> v191(constB40)))),
% 16.91/12.11 inference(quant_inst,[status(thm)],[])).
% 16.91/12.11 tff(31502,plain,
% 16.91/12.11 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v193(VarNext) <=> v191(VarCurr)))) | (~nextState(constB40, constB41)) | (v193(constB41) <=> v191(constB40))),
% 16.91/12.11 inference(modus_ponens,[status(thm)],[31501, 31500])).
% 16.91/12.11 tff(31503,plain,
% 16.91/12.11 (v193(constB41) <=> v191(constB40)),
% 16.91/12.11 inference(unit_resolution,[status(thm)],[31502, 3112, 70])).
% 16.91/12.11 tff(31504,plain,
% 16.91/12.11 ((~![VarCurr: $i] : (v191(VarCurr) <=> (v194(VarCurr) | v198(VarCurr)))) | (v191(constB40) <=> (v194(constB40) | v198(constB40)))),
% 16.91/12.11 inference(quant_inst,[status(thm)],[])).
% 16.91/12.11 tff(31505,plain,
% 16.91/12.11 (v191(constB40) <=> (v194(constB40) | v198(constB40))),
% 16.91/12.11 inference(unit_resolution,[status(thm)],[31504, 84])).
% 16.91/12.11 tff(31506,plain,
% 16.91/12.11 ((~![VarCurr: $i] : (v198(VarCurr) <=> (~((~v199(VarCurr)) | (~v200(VarCurr)))))) | (v198(constB40) <=> (~((~v199(constB40)) | (~v200(constB40)))))),
% 16.91/12.11 inference(quant_inst,[status(thm)],[])).
% 16.91/12.11 tff(31507,plain,
% 16.91/12.11 (v198(constB40) <=> (~((~v199(constB40)) | (~v200(constB40))))),
% 16.91/12.11 inference(unit_resolution,[status(thm)],[31506, 96])).
% 16.91/12.11 tff(31508,plain,
% 16.91/12.11 ((~![VarCurr: $i] : (v200(VarCurr) <=> (~((~v197(VarCurr)) | (~v201(VarCurr)))))) | (v200(constB40) <=> (~((~v197(constB40)) | (~v201(constB40)))))),
% 16.91/12.11 inference(quant_inst,[status(thm)],[])).
% 16.91/12.11 tff(31509,plain,
% 16.91/12.11 (v200(constB40) <=> (~((~v197(constB40)) | (~v201(constB40))))),
% 16.91/12.11 inference(unit_resolution,[status(thm)],[31508, 108])).
% 16.91/12.11 tff(31510,plain,
% 16.91/12.11 ((~![VarCurr: $i] : (v197(VarCurr) <=> (~((~v39(VarCurr)) | (~v9(VarCurr)))))) | (v197(constB40) <=> (~((~v39(constB40)) | (~v9(constB40)))))),
% 16.91/12.11 inference(quant_inst,[status(thm)],[])).
% 16.91/12.11 tff(31511,plain,
% 16.91/12.11 (v197(constB40) <=> (~((~v39(constB40)) | (~v9(constB40))))),
% 16.91/12.11 inference(unit_resolution,[status(thm)],[31510, 120])).
% 16.91/12.11 tff(31512,plain,
% 16.91/12.11 ((~![VarCurr: $i] : ((~v39(VarCurr)) <=> v1(VarCurr))) | ((~v39(constB40)) <=> v1(constB40))),
% 16.91/12.11 inference(quant_inst,[status(thm)],[])).
% 16.91/12.11 tff(31513,plain,
% 16.91/12.11 ((~v39(constB40)) <=> v1(constB40)),
% 16.91/12.11 inference(unit_resolution,[status(thm)],[31512, 129])).
% 16.91/12.11 tff(31514,plain,
% 16.91/12.11 ((~((~v39(constB40)) <=> v1(constB40))) | (~v39(constB40)) | (~v1(constB40))),
% 16.91/12.11 inference(tautology,[status(thm)],[])).
% 16.91/12.11 tff(31515,plain,
% 16.91/12.11 ((~((~v39(constB40)) <=> v1(constB40))) | (~v39(constB40))),
% 16.91/12.11 inference(unit_resolution,[status(thm)],[31514, 3174])).
% 16.91/12.11 tff(31516,plain,
% 16.91/12.11 (~v39(constB40)),
% 16.91/12.11 inference(unit_resolution,[status(thm)],[31515, 31513])).
% 16.91/12.11 tff(31517,plain,
% 16.91/12.11 (((~v39(constB40)) | (~v9(constB40))) | v39(constB40)),
% 16.91/12.11 inference(tautology,[status(thm)],[])).
% 16.91/12.11 tff(31518,plain,
% 16.91/12.11 ((~v39(constB40)) | (~v9(constB40))),
% 16.91/12.11 inference(unit_resolution,[status(thm)],[31517, 31516])).
% 16.91/12.11 tff(31519,plain,
% 16.91/12.11 ((~(v197(constB40) <=> (~((~v39(constB40)) | (~v9(constB40)))))) | (~v197(constB40)) | (~((~v39(constB40)) | (~v9(constB40))))),
% 16.91/12.11 inference(tautology,[status(thm)],[])).
% 16.91/12.11 tff(31520,plain,
% 16.91/12.11 ((~(v197(constB40) <=> (~((~v39(constB40)) | (~v9(constB40)))))) | (~v197(constB40))),
% 16.91/12.11 inference(unit_resolution,[status(thm)],[31519, 31518])).
% 16.91/12.11 tff(31521,plain,
% 16.91/12.11 (~v197(constB40)),
% 16.91/12.11 inference(unit_resolution,[status(thm)],[31520, 31511])).
% 16.91/12.11 tff(31522,plain,
% 16.91/12.11 (((~v197(constB40)) | (~v201(constB40))) | v197(constB40)),
% 16.91/12.11 inference(tautology,[status(thm)],[])).
% 16.91/12.11 tff(31523,plain,
% 16.91/12.11 ((~v197(constB40)) | (~v201(constB40))),
% 16.91/12.11 inference(unit_resolution,[status(thm)],[31522, 31521])).
% 16.91/12.11 tff(31524,plain,
% 16.91/12.11 ((~(v200(constB40) <=> (~((~v197(constB40)) | (~v201(constB40)))))) | (~v200(constB40)) | (~((~v197(constB40)) | (~v201(constB40))))),
% 16.91/12.11 inference(tautology,[status(thm)],[])).
% 16.91/12.11 tff(31525,plain,
% 16.91/12.11 ((~(v200(constB40) <=> (~((~v197(constB40)) | (~v201(constB40)))))) | (~v200(constB40))),
% 16.91/12.11 inference(unit_resolution,[status(thm)],[31524, 31523])).
% 16.91/12.11 tff(31526,plain,
% 16.91/12.11 (~v200(constB40)),
% 16.91/12.11 inference(unit_resolution,[status(thm)],[31525, 31509])).
% 16.91/12.11 tff(31527,plain,
% 16.91/12.11 (((~v199(constB40)) | (~v200(constB40))) | v200(constB40)),
% 16.91/12.11 inference(tautology,[status(thm)],[])).
% 16.91/12.11 tff(31528,plain,
% 16.91/12.11 ((~v199(constB40)) | (~v200(constB40))),
% 16.91/12.11 inference(unit_resolution,[status(thm)],[31527, 31526])).
% 16.91/12.11 tff(31529,plain,
% 16.91/12.11 ((~(v198(constB40) <=> (~((~v199(constB40)) | (~v200(constB40)))))) | (~v198(constB40)) | (~((~v199(constB40)) | (~v200(constB40))))),
% 16.91/12.11 inference(tautology,[status(thm)],[])).
% 16.91/12.11 tff(31530,plain,
% 16.91/12.11 (~v198(constB40)),
% 16.91/12.11 inference(unit_resolution,[status(thm)],[31529, 31528, 31507])).
% 16.91/12.11 tff(31531,plain,
% 16.91/12.11 (((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB40) <=> (~((~v157(constB40)) | (~v195(constB40)))))) <=> ((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB40) <=> (~((~v157(constB40)) | (~v195(constB40))))))),
% 16.91/12.12 inference(rewrite,[status(thm)],[])).
% 16.91/12.12 tff(31532,plain,
% 16.91/12.12 ((v194(constB40) <=> (~((~v195(constB40)) | (~v157(constB40))))) <=> (v194(constB40) <=> (~((~v157(constB40)) | (~v195(constB40)))))),
% 16.91/12.12 inference(rewrite,[status(thm)],[])).
% 16.91/12.12 tff(31533,plain,
% 16.91/12.12 (((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB40) <=> (~((~v195(constB40)) | (~v157(constB40)))))) <=> ((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB40) <=> (~((~v157(constB40)) | (~v195(constB40))))))),
% 16.91/12.12 inference(monotonicity,[status(thm)],[31532])).
% 16.91/12.12 tff(31534,plain,
% 16.91/12.12 (((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB40) <=> (~((~v195(constB40)) | (~v157(constB40)))))) <=> ((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB40) <=> (~((~v157(constB40)) | (~v195(constB40))))))),
% 16.91/12.12 inference(transitivity,[status(thm)],[31533, 31531])).
% 16.91/12.12 tff(31535,plain,
% 16.91/12.12 ((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB40) <=> (~((~v195(constB40)) | (~v157(constB40)))))),
% 16.91/12.12 inference(quant_inst,[status(thm)],[])).
% 16.91/12.12 tff(31536,plain,
% 16.91/12.12 ((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB40) <=> (~((~v157(constB40)) | (~v195(constB40)))))),
% 16.91/12.12 inference(modus_ponens,[status(thm)],[31535, 31534])).
% 16.91/12.12 tff(31537,plain,
% 16.91/12.12 (v194(constB40) <=> (~((~v157(constB40)) | (~v195(constB40))))),
% 16.91/12.12 inference(unit_resolution,[status(thm)],[31536, 161])).
% 16.91/12.12 tff(31538,plain,
% 16.91/12.12 ((~![VarNext: $i] : (v157(VarNext) <=> v193(VarNext))) | (v157(constB40) <=> v193(constB40))),
% 16.91/12.12 inference(quant_inst,[status(thm)],[])).
% 16.91/12.12 tff(31539,plain,
% 16.91/12.12 (v157(constB40) <=> v193(constB40)),
% 16.91/12.12 inference(unit_resolution,[status(thm)],[31538, 13])).
% 16.91/12.12 tff(31540,plain,
% 16.91/12.12 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v193(VarNext) <=> v191(VarCurr)))) | ((~nextState(constB39, constB40)) | (v193(constB40) <=> v191(constB39)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v193(VarNext) <=> v191(VarCurr)))) | (~nextState(constB39, constB40)) | (v193(constB40) <=> v191(constB39)))),
% 16.91/12.12 inference(rewrite,[status(thm)],[])).
% 16.91/12.12 tff(31541,plain,
% 16.91/12.12 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v193(VarNext) <=> v191(VarCurr)))) | ((~nextState(constB39, constB40)) | (v193(constB40) <=> v191(constB39)))),
% 16.91/12.12 inference(quant_inst,[status(thm)],[])).
% 16.91/12.12 tff(31542,plain,
% 16.91/12.12 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v193(VarNext) <=> v191(VarCurr)))) | (~nextState(constB39, constB40)) | (v193(constB40) <=> v191(constB39))),
% 16.91/12.12 inference(modus_ponens,[status(thm)],[31541, 31540])).
% 16.91/12.12 tff(31543,plain,
% 16.91/12.12 (v193(constB40) <=> v191(constB39)),
% 16.91/12.12 inference(unit_resolution,[status(thm)],[31542, 3144, 70])).
% 16.91/12.12 tff(31544,plain,
% 16.91/12.12 ((~![VarCurr: $i] : (v191(VarCurr) <=> (v194(VarCurr) | v198(VarCurr)))) | (v191(constB39) <=> (v194(constB39) | v198(constB39)))),
% 16.91/12.12 inference(quant_inst,[status(thm)],[])).
% 16.91/12.12 tff(31545,plain,
% 16.91/12.12 (v191(constB39) <=> (v194(constB39) | v198(constB39))),
% 16.91/12.12 inference(unit_resolution,[status(thm)],[31544, 84])).
% 16.91/12.12 tff(31546,plain,
% 16.91/12.12 (((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB39) <=> (~((~v157(constB39)) | (~v195(constB39)))))) <=> ((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB39) <=> (~((~v157(constB39)) | (~v195(constB39))))))),
% 16.91/12.12 inference(rewrite,[status(thm)],[])).
% 16.91/12.12 tff(31547,plain,
% 16.91/12.12 ((v194(constB39) <=> (~((~v195(constB39)) | (~v157(constB39))))) <=> (v194(constB39) <=> (~((~v157(constB39)) | (~v195(constB39)))))),
% 16.91/12.12 inference(rewrite,[status(thm)],[])).
% 16.91/12.12 tff(31548,plain,
% 16.91/12.12 (((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB39) <=> (~((~v195(constB39)) | (~v157(constB39)))))) <=> ((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB39) <=> (~((~v157(constB39)) | (~v195(constB39))))))),
% 16.91/12.12 inference(monotonicity,[status(thm)],[31547])).
% 16.91/12.12 tff(31549,plain,
% 16.91/12.12 (((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB39) <=> (~((~v195(constB39)) | (~v157(constB39)))))) <=> ((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB39) <=> (~((~v157(constB39)) | (~v195(constB39))))))),
% 16.91/12.12 inference(transitivity,[status(thm)],[31548, 31546])).
% 16.91/12.12 tff(31550,plain,
% 16.91/12.12 ((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB39) <=> (~((~v195(constB39)) | (~v157(constB39)))))),
% 16.91/12.12 inference(quant_inst,[status(thm)],[])).
% 16.91/12.12 tff(31551,plain,
% 16.91/12.12 ((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB39) <=> (~((~v157(constB39)) | (~v195(constB39)))))),
% 16.91/12.12 inference(modus_ponens,[status(thm)],[31550, 31549])).
% 16.91/12.12 tff(31552,plain,
% 16.91/12.12 (v194(constB39) <=> (~((~v157(constB39)) | (~v195(constB39))))),
% 16.91/12.12 inference(unit_resolution,[status(thm)],[31551, 161])).
% 16.91/12.12 tff(31553,plain,
% 16.91/12.12 ((~![VarCurr: $i] : ((~v195(VarCurr)) <=> v196(VarCurr))) | ((~v195(constB39)) <=> v196(constB39))),
% 16.91/12.12 inference(quant_inst,[status(thm)],[])).
% 16.91/12.12 tff(31554,plain,
% 16.91/12.12 ((~v195(constB39)) <=> v196(constB39)),
% 16.91/12.12 inference(unit_resolution,[status(thm)],[31553, 193])).
% 16.91/12.12 tff(31555,plain,
% 16.91/12.12 ((~![VarCurr: $i] : (v196(VarCurr) <=> (v197(VarCurr) | v26(VarCurr)))) | (v196(constB39) <=> (v197(constB39) | v26(constB39)))),
% 16.91/12.12 inference(quant_inst,[status(thm)],[])).
% 16.91/12.12 tff(31556,plain,
% 16.91/12.12 (v196(constB39) <=> (v197(constB39) | v26(constB39))),
% 16.91/12.12 inference(unit_resolution,[status(thm)],[31555, 202])).
% 16.91/12.12 tff(31557,plain,
% 16.91/12.12 ((~![VarCurr: $i] : (v197(VarCurr) <=> (~((~v39(VarCurr)) | (~v9(VarCurr)))))) | (v197(constB39) <=> (~((~v39(constB39)) | (~v9(constB39)))))),
% 16.91/12.12 inference(quant_inst,[status(thm)],[])).
% 16.91/12.12 tff(31558,plain,
% 16.91/12.12 (v197(constB39) <=> (~((~v39(constB39)) | (~v9(constB39))))),
% 16.91/12.12 inference(unit_resolution,[status(thm)],[31557, 120])).
% 16.91/12.12 tff(31559,plain,
% 16.91/12.12 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | ((~nextState(constB39, constB40)) | (v13(constB40) <=> v9(constB39)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | (~nextState(constB39, constB40)) | (v13(constB40) <=> v9(constB39)))),
% 16.91/12.12 inference(rewrite,[status(thm)],[])).
% 16.91/12.12 tff(31560,plain,
% 16.91/12.12 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | ((~nextState(constB39, constB40)) | (v13(constB40) <=> v9(constB39)))),
% 16.91/12.12 inference(quant_inst,[status(thm)],[])).
% 16.91/12.12 tff(31561,plain,
% 16.91/12.12 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | (~nextState(constB39, constB40)) | (v13(constB40) <=> v9(constB39))),
% 16.91/12.12 inference(modus_ponens,[status(thm)],[31560, 31559])).
% 16.91/12.12 tff(31562,plain,
% 16.91/12.12 (v13(constB40) <=> v9(constB39)),
% 16.91/12.12 inference(unit_resolution,[status(thm)],[31561, 3144, 216])).
% 16.91/12.12 tff(31563,plain,
% 16.91/12.12 ((~![VarNext: $i] : (v6(VarNext) <=> v13(VarNext))) | (v6(constB40) <=> v13(constB40))),
% 16.91/12.12 inference(quant_inst,[status(thm)],[])).
% 16.91/12.12 tff(31564,plain,
% 16.91/12.12 (v6(constB40) <=> v13(constB40)),
% 16.91/12.12 inference(unit_resolution,[status(thm)],[31563, 230])).
% 16.91/12.12 tff(31565,plain,
% 16.91/12.12 ((~![VarCurr: $i] : ((~v21(VarCurr)) <=> v6(VarCurr))) | ((~v21(constB40)) <=> v6(constB40))),
% 16.91/12.12 inference(quant_inst,[status(thm)],[])).
% 16.91/12.12 tff(31566,plain,
% 16.91/12.12 ((~v21(constB40)) <=> v6(constB40)),
% 16.91/12.12 inference(unit_resolution,[status(thm)],[31565, 239])).
% 16.91/12.12 tff(31567,plain,
% 16.91/12.12 ((~![VarCurr: $i] : (v19(VarCurr) <=> (v20(VarCurr) | v21(VarCurr)))) | (v19(constB40) <=> (v20(constB40) | v21(constB40)))),
% 16.91/12.12 inference(quant_inst,[status(thm)],[])).
% 16.91/12.12 tff(31568,plain,
% 16.91/12.12 (v19(constB40) <=> (v20(constB40) | v21(constB40))),
% 16.91/12.12 inference(unit_resolution,[status(thm)],[31567, 248])).
% 16.91/12.12 tff(31569,plain,
% 16.91/12.12 ((~![VarCurr: $i] : (v18(VarCurr) <=> (~((~v19(VarCurr)) | (~v22(VarCurr)))))) | (v18(constB40) <=> (~((~v19(constB40)) | (~v22(constB40)))))),
% 16.91/12.12 inference(quant_inst,[status(thm)],[])).
% 16.91/12.12 tff(31570,plain,
% 16.91/12.12 (v18(constB40) <=> (~((~v19(constB40)) | (~v22(constB40))))),
% 16.91/12.12 inference(unit_resolution,[status(thm)],[31569, 260])).
% 16.91/12.12 tff(31571,plain,
% 16.91/12.12 ((~![VarCurr: $i] : ((~v4(VarCurr)) <=> v18(VarCurr))) | ((~v4(constB40)) <=> v18(constB40))),
% 16.91/12.12 inference(quant_inst,[status(thm)],[])).
% 16.91/12.12 tff(31572,plain,
% 16.91/12.12 ((~v4(constB40)) <=> v18(constB40)),
% 16.91/12.12 inference(unit_resolution,[status(thm)],[31571, 269])).
% 16.91/12.12 tff(31573,plain,
% 16.91/12.12 ((~![VarCurr: $i] : v4(VarCurr)) | v4(constB40)),
% 16.91/12.12 inference(quant_inst,[status(thm)],[])).
% 16.91/12.12 tff(31574,plain,
% 16.91/12.12 (v4(constB40)),
% 16.91/12.12 inference(unit_resolution,[status(thm)],[31573, 278])).
% 16.91/12.12 tff(31575,plain,
% 16.91/12.12 ((~((~v4(constB40)) <=> v18(constB40))) | (~v4(constB40)) | (~v18(constB40))),
% 16.91/12.12 inference(tautology,[status(thm)],[])).
% 16.91/12.12 tff(31576,plain,
% 16.91/12.12 (~v18(constB40)),
% 16.91/12.12 inference(unit_resolution,[status(thm)],[31575, 31574, 31572])).
% 16.91/12.12 tff(31577,plain,
% 16.91/12.12 ((~(v18(constB40) <=> (~((~v19(constB40)) | (~v22(constB40)))))) | v18(constB40) | ((~v19(constB40)) | (~v22(constB40)))),
% 16.91/12.12 inference(tautology,[status(thm)],[])).
% 16.91/12.12 tff(31578,plain,
% 16.91/12.12 ((~v19(constB40)) | (~v22(constB40))),
% 16.91/12.12 inference(unit_resolution,[status(thm)],[31577, 31576, 31570])).
% 16.91/12.12 tff(31579,plain,
% 16.91/12.12 ((~![VarCurr: $i] : (v22(VarCurr) <=> (v1(VarCurr) | v6(VarCurr)))) | (v22(constB40) <=> (v1(constB40) | v6(constB40)))),
% 16.91/12.12 inference(quant_inst,[status(thm)],[])).
% 16.91/12.12 tff(31580,plain,
% 16.91/12.12 (v22(constB40) <=> (v1(constB40) | v6(constB40))),
% 16.91/12.12 inference(unit_resolution,[status(thm)],[31579, 291])).
% 16.91/12.12 tff(31581,plain,
% 16.91/12.12 ((v1(constB40) | v6(constB40)) | (~v1(constB40))),
% 16.91/12.12 inference(tautology,[status(thm)],[])).
% 16.91/12.12 tff(31582,plain,
% 16.91/12.12 (v1(constB40) | v6(constB40)),
% 16.91/12.12 inference(unit_resolution,[status(thm)],[31581, 3174])).
% 16.91/12.12 tff(31583,plain,
% 16.91/12.12 ((~(v22(constB40) <=> (v1(constB40) | v6(constB40)))) | v22(constB40) | (~(v1(constB40) | v6(constB40)))),
% 16.91/12.12 inference(tautology,[status(thm)],[])).
% 16.91/12.12 tff(31584,plain,
% 16.91/12.12 ((~(v22(constB40) <=> (v1(constB40) | v6(constB40)))) | v22(constB40)),
% 16.91/12.12 inference(unit_resolution,[status(thm)],[31583, 31582])).
% 16.91/12.12 tff(31585,plain,
% 16.91/12.12 (v22(constB40)),
% 16.91/12.12 inference(unit_resolution,[status(thm)],[31584, 31580])).
% 16.91/12.12 tff(31586,plain,
% 16.91/12.12 ((~((~v19(constB40)) | (~v22(constB40)))) | (~v19(constB40)) | (~v22(constB40))),
% 16.91/12.12 inference(tautology,[status(thm)],[])).
% 16.91/12.12 tff(31587,plain,
% 16.91/12.12 ((~((~v19(constB40)) | (~v22(constB40)))) | (~v19(constB40))),
% 16.91/12.12 inference(unit_resolution,[status(thm)],[31586, 31585])).
% 16.91/12.12 tff(31588,plain,
% 16.91/12.12 (~v19(constB40)),
% 16.91/12.12 inference(unit_resolution,[status(thm)],[31587, 31578])).
% 16.91/12.12 tff(31589,plain,
% 16.91/12.12 ((~(v19(constB40) <=> (v20(constB40) | v21(constB40)))) | v19(constB40) | (~(v20(constB40) | v21(constB40)))),
% 16.91/12.12 inference(tautology,[status(thm)],[])).
% 16.91/12.12 tff(31590,plain,
% 16.91/12.12 (~(v20(constB40) | v21(constB40))),
% 16.91/12.12 inference(unit_resolution,[status(thm)],[31589, 31588, 31568])).
% 16.91/12.12 tff(31591,plain,
% 16.91/12.12 ((v20(constB40) | v21(constB40)) | (~v21(constB40))),
% 16.91/12.12 inference(tautology,[status(thm)],[])).
% 16.91/12.12 tff(31592,plain,
% 16.91/12.12 (~v21(constB40)),
% 16.91/12.12 inference(unit_resolution,[status(thm)],[31591, 31590])).
% 16.91/12.12 tff(31593,plain,
% 16.91/12.12 ((~((~v21(constB40)) <=> v6(constB40))) | v21(constB40) | v6(constB40)),
% 16.91/12.12 inference(tautology,[status(thm)],[])).
% 16.91/12.12 tff(31594,plain,
% 16.91/12.12 (v6(constB40)),
% 16.91/12.12 inference(unit_resolution,[status(thm)],[31593, 31592, 31566])).
% 16.91/12.12 tff(31595,plain,
% 16.91/12.12 ((~(v6(constB40) <=> v13(constB40))) | (~v6(constB40)) | v13(constB40)),
% 16.91/12.12 inference(tautology,[status(thm)],[])).
% 16.91/12.12 tff(31596,plain,
% 16.91/12.12 (v13(constB40)),
% 16.91/12.12 inference(unit_resolution,[status(thm)],[31595, 31594, 31564])).
% 16.91/12.12 tff(31597,plain,
% 16.91/12.12 ((~(v13(constB40) <=> v9(constB39))) | (~v13(constB40)) | v9(constB39)),
% 16.91/12.12 inference(tautology,[status(thm)],[])).
% 16.91/12.12 tff(31598,plain,
% 16.91/12.12 (v9(constB39)),
% 16.91/12.12 inference(unit_resolution,[status(thm)],[31597, 31596, 31562])).
% 16.91/12.12 tff(31599,plain,
% 16.91/12.12 ((~![VarCurr: $i] : ((~v39(VarCurr)) <=> v1(VarCurr))) | ((~v39(constB39)) <=> v1(constB39))),
% 16.91/12.12 inference(quant_inst,[status(thm)],[])).
% 16.91/12.12 tff(31600,plain,
% 16.91/12.12 ((~v39(constB39)) <=> v1(constB39)),
% 16.91/12.12 inference(unit_resolution,[status(thm)],[31599, 129])).
% 16.91/12.12 tff(31601,plain,
% 16.91/12.12 ((~((~v39(constB39)) <=> v1(constB39))) | v39(constB39) | v1(constB39)),
% 16.91/12.12 inference(tautology,[status(thm)],[])).
% 16.91/12.12 tff(31602,plain,
% 16.91/12.12 ((~((~v39(constB39)) <=> v1(constB39))) | v39(constB39)),
% 16.91/12.12 inference(unit_resolution,[status(thm)],[31601, 3166])).
% 16.91/12.12 tff(31603,plain,
% 16.91/12.12 (v39(constB39)),
% 16.91/12.12 inference(unit_resolution,[status(thm)],[31602, 31600])).
% 16.91/12.12 tff(31604,plain,
% 16.91/12.12 ((~((~v39(constB39)) | (~v9(constB39)))) | (~v39(constB39)) | (~v9(constB39))),
% 16.91/12.12 inference(tautology,[status(thm)],[])).
% 16.91/12.12 tff(31605,plain,
% 16.91/12.12 ((~((~v39(constB39)) | (~v9(constB39)))) | (~v9(constB39))),
% 16.91/12.12 inference(unit_resolution,[status(thm)],[31604, 31603])).
% 16.91/12.12 tff(31606,plain,
% 16.91/12.12 (~((~v39(constB39)) | (~v9(constB39)))),
% 16.91/12.12 inference(unit_resolution,[status(thm)],[31605, 31598])).
% 16.91/12.12 tff(31607,plain,
% 16.91/12.12 ((~(v197(constB39) <=> (~((~v39(constB39)) | (~v9(constB39)))))) | v197(constB39) | ((~v39(constB39)) | (~v9(constB39)))),
% 16.91/12.12 inference(tautology,[status(thm)],[])).
% 16.91/12.12 tff(31608,plain,
% 16.91/12.12 (v197(constB39)),
% 16.91/12.12 inference(unit_resolution,[status(thm)],[31607, 31606, 31558])).
% 16.91/12.12 tff(31609,plain,
% 16.91/12.12 ((v197(constB39) | v26(constB39)) | (~v197(constB39))),
% 16.91/12.12 inference(tautology,[status(thm)],[])).
% 16.91/12.12 tff(31610,plain,
% 16.91/12.12 (v197(constB39) | v26(constB39)),
% 16.91/12.12 inference(unit_resolution,[status(thm)],[31609, 31608])).
% 16.91/12.12 tff(31611,plain,
% 16.91/12.12 ((~(v196(constB39) <=> (v197(constB39) | v26(constB39)))) | v196(constB39) | (~(v197(constB39) | v26(constB39)))),
% 16.91/12.12 inference(tautology,[status(thm)],[])).
% 16.91/12.12 tff(31612,plain,
% 16.91/12.12 (v196(constB39)),
% 16.91/12.12 inference(unit_resolution,[status(thm)],[31611, 31610, 31556])).
% 16.91/12.12 tff(31613,plain,
% 16.91/12.12 ((~((~v195(constB39)) <=> v196(constB39))) | (~v195(constB39)) | (~v196(constB39))),
% 16.91/12.12 inference(tautology,[status(thm)],[])).
% 16.91/12.12 tff(31614,plain,
% 16.91/12.12 (~v195(constB39)),
% 16.91/12.12 inference(unit_resolution,[status(thm)],[31613, 31612, 31554])).
% 16.91/12.12 tff(31615,plain,
% 16.91/12.12 (((~v157(constB39)) | (~v195(constB39))) | v195(constB39)),
% 16.91/12.12 inference(tautology,[status(thm)],[])).
% 16.91/12.12 tff(31616,plain,
% 16.91/12.12 ((~v157(constB39)) | (~v195(constB39))),
% 16.91/12.12 inference(unit_resolution,[status(thm)],[31615, 31614])).
% 16.91/12.12 tff(31617,plain,
% 16.91/12.12 ((~(v194(constB39) <=> (~((~v157(constB39)) | (~v195(constB39)))))) | (~v194(constB39)) | (~((~v157(constB39)) | (~v195(constB39))))),
% 16.91/12.12 inference(tautology,[status(thm)],[])).
% 16.91/12.12 tff(31618,plain,
% 16.91/12.12 (~v194(constB39)),
% 16.91/12.12 inference(unit_resolution,[status(thm)],[31617, 31616, 31552])).
% 16.91/12.12 tff(31619,plain,
% 16.91/12.12 ((~![VarCurr: $i] : (v198(VarCurr) <=> (~((~v199(VarCurr)) | (~v200(VarCurr)))))) | (v198(constB39) <=> (~((~v199(constB39)) | (~v200(constB39)))))),
% 16.91/12.12 inference(quant_inst,[status(thm)],[])).
% 16.91/12.12 tff(31620,plain,
% 16.91/12.12 (v198(constB39) <=> (~((~v199(constB39)) | (~v200(constB39))))),
% 16.91/12.12 inference(unit_resolution,[status(thm)],[31619, 96])).
% 16.91/12.12 tff(31621,plain,
% 16.91/12.12 ((~![VarCurr: $i] : (v200(VarCurr) <=> (~((~v197(VarCurr)) | (~v201(VarCurr)))))) | (v200(constB39) <=> (~((~v197(constB39)) | (~v201(constB39)))))),
% 16.91/12.12 inference(quant_inst,[status(thm)],[])).
% 16.91/12.12 tff(31622,plain,
% 16.91/12.12 (v200(constB39) <=> (~((~v197(constB39)) | (~v201(constB39))))),
% 16.91/12.12 inference(unit_resolution,[status(thm)],[31621, 108])).
% 16.91/12.12 tff(31623,plain,
% 16.91/12.12 ((~![VarCurr: $i] : (v201(VarCurr) <=> (~((~v159(VarCurr)) | (~v161(VarCurr)))))) | (v201(constB39) <=> (~((~v159(constB39)) | (~v161(constB39)))))),
% 16.91/12.12 inference(quant_inst,[status(thm)],[])).
% 16.91/12.12 tff(31624,plain,
% 16.91/12.12 (v201(constB39) <=> (~((~v159(constB39)) | (~v161(constB39))))),
% 16.91/12.12 inference(unit_resolution,[status(thm)],[31623, 348])).
% 16.91/12.12 tff(31625,plain,
% 16.91/12.12 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v179(VarNext) <=> v180(VarNext)))) | ((~nextState(constB38, constB39)) | (v179(constB39) <=> v180(constB39)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v179(VarNext) <=> v180(VarNext)))) | (~nextState(constB38, constB39)) | (v179(constB39) <=> v180(constB39)))),
% 16.91/12.13 inference(rewrite,[status(thm)],[])).
% 16.91/12.13 tff(31626,plain,
% 16.91/12.13 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v179(VarNext) <=> v180(VarNext)))) | ((~nextState(constB38, constB39)) | (v179(constB39) <=> v180(constB39)))),
% 16.91/12.13 inference(quant_inst,[status(thm)],[])).
% 16.91/12.13 tff(31627,plain,
% 16.91/12.13 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v179(VarNext) <=> v180(VarNext)))) | (~nextState(constB38, constB39)) | (v179(constB39) <=> v180(constB39))),
% 16.91/12.13 inference(modus_ponens,[status(thm)],[31626, 31625])).
% 16.91/12.13 tff(31628,plain,
% 16.91/12.13 (v179(constB39) <=> v180(constB39)),
% 16.91/12.13 inference(unit_resolution,[status(thm)],[31627, 3207, 13536])).
% 16.91/12.13 tff(31629,plain,
% 16.91/12.13 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> (~((~v181(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB38, constB39)) | (v180(constB39) <=> (~((~v1(constB39)) | (~v181(constB39))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> (~((~v181(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB38, constB39)) | (v180(constB39) <=> (~((~v1(constB39)) | (~v181(constB39))))))),
% 16.91/12.13 inference(rewrite,[status(thm)],[])).
% 16.91/12.13 tff(31630,plain,
% 16.91/12.13 (((~nextState(constB38, constB39)) | (v180(constB39) <=> (~((~v181(constB39)) | (~v1(constB39)))))) <=> ((~nextState(constB38, constB39)) | (v180(constB39) <=> (~((~v1(constB39)) | (~v181(constB39))))))),
% 16.91/12.13 inference(rewrite,[status(thm)],[])).
% 16.91/12.13 tff(31631,plain,
% 16.91/12.13 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> (~((~v181(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB38, constB39)) | (v180(constB39) <=> (~((~v181(constB39)) | (~v1(constB39))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> (~((~v181(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB38, constB39)) | (v180(constB39) <=> (~((~v1(constB39)) | (~v181(constB39)))))))),
% 16.91/12.13 inference(monotonicity,[status(thm)],[31630])).
% 16.91/12.13 tff(31632,plain,
% 16.91/12.13 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> (~((~v181(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB38, constB39)) | (v180(constB39) <=> (~((~v181(constB39)) | (~v1(constB39))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> (~((~v181(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB38, constB39)) | (v180(constB39) <=> (~((~v1(constB39)) | (~v181(constB39))))))),
% 16.91/12.13 inference(transitivity,[status(thm)],[31631, 31629])).
% 16.91/12.13 tff(31633,plain,
% 16.91/12.13 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> (~((~v181(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB38, constB39)) | (v180(constB39) <=> (~((~v181(constB39)) | (~v1(constB39))))))),
% 16.91/12.13 inference(quant_inst,[status(thm)],[])).
% 16.91/12.13 tff(31634,plain,
% 16.91/12.13 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> (~((~v181(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB38, constB39)) | (v180(constB39) <=> (~((~v1(constB39)) | (~v181(constB39)))))),
% 16.91/12.13 inference(modus_ponens,[status(thm)],[31633, 31632])).
% 16.91/12.13 tff(31635,plain,
% 16.91/12.13 (v180(constB39) <=> (~((~v1(constB39)) | (~v181(constB39))))),
% 16.91/12.13 inference(unit_resolution,[status(thm)],[31634, 3207, 13556])).
% 16.91/12.13 tff(31636,plain,
% 16.91/12.13 (((~v1(constB39)) | (~v181(constB39))) | v1(constB39)),
% 16.91/12.13 inference(tautology,[status(thm)],[])).
% 16.91/12.13 tff(31637,plain,
% 16.91/12.13 ((~v1(constB39)) | (~v181(constB39))),
% 16.91/12.13 inference(unit_resolution,[status(thm)],[31636, 3166])).
% 16.91/12.13 tff(31638,plain,
% 16.91/12.13 ((~(v180(constB39) <=> (~((~v1(constB39)) | (~v181(constB39)))))) | (~v180(constB39)) | (~((~v1(constB39)) | (~v181(constB39))))),
% 16.91/12.13 inference(tautology,[status(thm)],[])).
% 16.91/12.13 tff(31639,plain,
% 16.91/12.13 ((~(v180(constB39) <=> (~((~v1(constB39)) | (~v181(constB39)))))) | (~v180(constB39))),
% 16.91/12.13 inference(unit_resolution,[status(thm)],[31638, 31637])).
% 16.91/12.13 tff(31640,plain,
% 16.91/12.13 (~v180(constB39)),
% 16.91/12.13 inference(unit_resolution,[status(thm)],[31639, 31635])).
% 16.91/12.13 tff(31641,plain,
% 16.91/12.13 ((~(v179(constB39) <=> v180(constB39))) | (~v179(constB39)) | v180(constB39)),
% 16.91/12.13 inference(tautology,[status(thm)],[])).
% 16.91/12.13 tff(31642,plain,
% 16.91/12.13 (~v179(constB39)),
% 16.91/12.13 inference(unit_resolution,[status(thm)],[31641, 31640, 31628])).
% 16.91/12.13 tff(31643,plain,
% 16.91/12.13 (((~![VarCurr: $i, VarNext: $i] : ((v159(VarNext) <=> v159(VarCurr)) | v179(VarNext) | (~nextState(VarCurr, VarNext)))) | ((~nextState(constB38, constB39)) | v179(constB39) | (v159(constB39) <=> v159(constB38)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((v159(VarNext) <=> v159(VarCurr)) | v179(VarNext) | (~nextState(VarCurr, VarNext)))) | (~nextState(constB38, constB39)) | v179(constB39) | (v159(constB39) <=> v159(constB38)))),
% 16.91/12.13 inference(rewrite,[status(thm)],[])).
% 16.91/12.13 tff(31644,plain,
% 16.91/12.13 (((v159(constB39) <=> v159(constB38)) | v179(constB39) | (~nextState(constB38, constB39))) <=> ((~nextState(constB38, constB39)) | v179(constB39) | (v159(constB39) <=> v159(constB38)))),
% 16.91/12.13 inference(rewrite,[status(thm)],[])).
% 16.91/12.13 tff(31645,plain,
% 16.91/12.13 (((~![VarCurr: $i, VarNext: $i] : ((v159(VarNext) <=> v159(VarCurr)) | v179(VarNext) | (~nextState(VarCurr, VarNext)))) | ((v159(constB39) <=> v159(constB38)) | v179(constB39) | (~nextState(constB38, constB39)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((v159(VarNext) <=> v159(VarCurr)) | v179(VarNext) | (~nextState(VarCurr, VarNext)))) | ((~nextState(constB38, constB39)) | v179(constB39) | (v159(constB39) <=> v159(constB38))))),
% 16.91/12.13 inference(monotonicity,[status(thm)],[31644])).
% 16.91/12.13 tff(31646,plain,
% 16.91/12.13 (((~![VarCurr: $i, VarNext: $i] : ((v159(VarNext) <=> v159(VarCurr)) | v179(VarNext) | (~nextState(VarCurr, VarNext)))) | ((v159(constB39) <=> v159(constB38)) | v179(constB39) | (~nextState(constB38, constB39)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((v159(VarNext) <=> v159(VarCurr)) | v179(VarNext) | (~nextState(VarCurr, VarNext)))) | (~nextState(constB38, constB39)) | v179(constB39) | (v159(constB39) <=> v159(constB38)))),
% 16.91/12.13 inference(transitivity,[status(thm)],[31645, 31643])).
% 16.91/12.13 tff(31647,plain,
% 16.91/12.13 ((~![VarCurr: $i, VarNext: $i] : ((v159(VarNext) <=> v159(VarCurr)) | v179(VarNext) | (~nextState(VarCurr, VarNext)))) | ((v159(constB39) <=> v159(constB38)) | v179(constB39) | (~nextState(constB38, constB39)))),
% 16.91/12.13 inference(quant_inst,[status(thm)],[])).
% 16.91/12.13 tff(31648,plain,
% 16.91/12.13 ((~![VarCurr: $i, VarNext: $i] : ((v159(VarNext) <=> v159(VarCurr)) | v179(VarNext) | (~nextState(VarCurr, VarNext)))) | (~nextState(constB38, constB39)) | v179(constB39) | (v159(constB39) <=> v159(constB38))),
% 16.91/12.13 inference(modus_ponens,[status(thm)],[31647, 31646])).
% 16.91/12.13 tff(31649,plain,
% 16.91/12.13 (v179(constB39) | (v159(constB39) <=> v159(constB38))),
% 16.91/12.13 inference(unit_resolution,[status(thm)],[31648, 3207, 13580])).
% 16.91/12.13 tff(31650,plain,
% 16.91/12.13 (v159(constB39) <=> v159(constB38)),
% 16.91/12.13 inference(unit_resolution,[status(thm)],[31649, 31642])).
% 16.91/12.13 tff(31651,plain,
% 16.91/12.13 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v179(VarNext) <=> v180(VarNext)))) | ((~nextState(constB37, constB38)) | (v179(constB38) <=> v180(constB38)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v179(VarNext) <=> v180(VarNext)))) | (~nextState(constB37, constB38)) | (v179(constB38) <=> v180(constB38)))),
% 16.91/12.13 inference(rewrite,[status(thm)],[])).
% 16.91/12.13 tff(31652,plain,
% 16.91/12.13 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v179(VarNext) <=> v180(VarNext)))) | ((~nextState(constB37, constB38)) | (v179(constB38) <=> v180(constB38)))),
% 16.91/12.13 inference(quant_inst,[status(thm)],[])).
% 16.91/12.13 tff(31653,plain,
% 16.91/12.13 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v179(VarNext) <=> v180(VarNext)))) | (~nextState(constB37, constB38)) | (v179(constB38) <=> v180(constB38))),
% 16.91/12.13 inference(modus_ponens,[status(thm)],[31652, 31651])).
% 16.91/12.13 tff(31654,plain,
% 16.91/12.13 (v179(constB38) <=> v180(constB38)),
% 16.91/12.13 inference(unit_resolution,[status(thm)],[31653, 3239, 13536])).
% 16.91/12.13 tff(31655,plain,
% 16.91/12.13 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> (~((~v181(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB37, constB38)) | (v180(constB38) <=> (~((~v1(constB38)) | (~v181(constB38))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> (~((~v181(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB37, constB38)) | (v180(constB38) <=> (~((~v1(constB38)) | (~v181(constB38))))))),
% 16.91/12.13 inference(rewrite,[status(thm)],[])).
% 16.91/12.13 tff(31656,plain,
% 16.91/12.13 (((~nextState(constB37, constB38)) | (v180(constB38) <=> (~((~v181(constB38)) | (~v1(constB38)))))) <=> ((~nextState(constB37, constB38)) | (v180(constB38) <=> (~((~v1(constB38)) | (~v181(constB38))))))),
% 16.91/12.13 inference(rewrite,[status(thm)],[])).
% 16.91/12.13 tff(31657,plain,
% 16.91/12.13 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> (~((~v181(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB37, constB38)) | (v180(constB38) <=> (~((~v181(constB38)) | (~v1(constB38))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> (~((~v181(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB37, constB38)) | (v180(constB38) <=> (~((~v1(constB38)) | (~v181(constB38)))))))),
% 16.91/12.13 inference(monotonicity,[status(thm)],[31656])).
% 16.91/12.13 tff(31658,plain,
% 16.91/12.13 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> (~((~v181(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB37, constB38)) | (v180(constB38) <=> (~((~v181(constB38)) | (~v1(constB38))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> (~((~v181(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB37, constB38)) | (v180(constB38) <=> (~((~v1(constB38)) | (~v181(constB38))))))),
% 16.91/12.13 inference(transitivity,[status(thm)],[31657, 31655])).
% 16.91/12.13 tff(31659,plain,
% 16.91/12.13 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> (~((~v181(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB37, constB38)) | (v180(constB38) <=> (~((~v181(constB38)) | (~v1(constB38))))))),
% 16.91/12.13 inference(quant_inst,[status(thm)],[])).
% 16.91/12.13 tff(31660,plain,
% 16.91/12.13 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> (~((~v181(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB37, constB38)) | (v180(constB38) <=> (~((~v1(constB38)) | (~v181(constB38)))))),
% 16.91/12.13 inference(modus_ponens,[status(thm)],[31659, 31658])).
% 16.91/12.13 tff(31661,plain,
% 16.91/12.13 (v180(constB38) <=> (~((~v1(constB38)) | (~v181(constB38))))),
% 16.91/12.13 inference(unit_resolution,[status(thm)],[31660, 3239, 13556])).
% 16.91/12.13 tff(31662,plain,
% 16.91/12.13 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v181(VarNext)) <=> v104(VarNext)))) | ((~nextState(constB37, constB38)) | ((~v181(constB38)) <=> v104(constB38)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v181(VarNext)) <=> v104(VarNext)))) | (~nextState(constB37, constB38)) | ((~v181(constB38)) <=> v104(constB38)))),
% 16.91/12.13 inference(rewrite,[status(thm)],[])).
% 16.91/12.13 tff(31663,plain,
% 16.91/12.13 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v181(VarNext)) <=> v104(VarNext)))) | ((~nextState(constB37, constB38)) | ((~v181(constB38)) <=> v104(constB38)))),
% 16.91/12.13 inference(quant_inst,[status(thm)],[])).
% 16.91/12.13 tff(31664,plain,
% 16.91/12.13 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v181(VarNext)) <=> v104(VarNext)))) | (~nextState(constB37, constB38)) | ((~v181(constB38)) <=> v104(constB38))),
% 16.91/12.13 inference(modus_ponens,[status(thm)],[31663, 31662])).
% 16.91/12.13 tff(31665,plain,
% 16.91/12.13 ((~v181(constB38)) <=> v104(constB38)),
% 16.91/12.13 inference(unit_resolution,[status(thm)],[31664, 3239, 13612])).
% 16.91/12.13 tff(31666,plain,
% 16.91/12.13 ((~((~v181(constB38)) <=> v104(constB38))) | v181(constB38) | v104(constB38)),
% 16.91/12.13 inference(tautology,[status(thm)],[])).
% 16.91/12.13 tff(31667,plain,
% 16.91/12.13 (v181(constB38)),
% 16.91/12.13 inference(unit_resolution,[status(thm)],[31666, 3264, 31665])).
% 16.91/12.13 tff(31668,plain,
% 16.91/12.13 ((~((~v1(constB38)) | (~v181(constB38)))) | (~v1(constB38)) | (~v181(constB38))),
% 16.91/12.13 inference(tautology,[status(thm)],[])).
% 16.91/12.13 tff(31669,plain,
% 16.91/12.13 ((~((~v1(constB38)) | (~v181(constB38)))) | (~v181(constB38))),
% 16.91/12.13 inference(unit_resolution,[status(thm)],[31668, 3269])).
% 16.91/12.13 tff(31670,plain,
% 16.91/12.13 (~((~v1(constB38)) | (~v181(constB38)))),
% 16.91/12.13 inference(unit_resolution,[status(thm)],[31669, 31667])).
% 16.91/12.13 tff(31671,plain,
% 16.91/12.13 ((~(v180(constB38) <=> (~((~v1(constB38)) | (~v181(constB38)))))) | v180(constB38) | ((~v1(constB38)) | (~v181(constB38)))),
% 16.91/12.13 inference(tautology,[status(thm)],[])).
% 16.91/12.13 tff(31672,plain,
% 16.91/12.13 (v180(constB38)),
% 16.91/12.13 inference(unit_resolution,[status(thm)],[31671, 31670, 31661])).
% 16.91/12.13 tff(31673,plain,
% 16.91/12.13 ((~(v179(constB38) <=> v180(constB38))) | v179(constB38) | (~v180(constB38))),
% 16.91/12.13 inference(tautology,[status(thm)],[])).
% 16.91/12.13 tff(31674,plain,
% 16.91/12.13 (v179(constB38)),
% 16.91/12.13 inference(unit_resolution,[status(thm)],[31673, 31672, 31654])).
% 16.91/12.13 tff(31675,plain,
% 16.91/12.13 (((~![VarNext: $i] : ((~v179(VarNext)) | (v159(VarNext) <=> v186(VarNext)))) | ((~v179(constB38)) | (v159(constB38) <=> v186(constB38)))) <=> ((~![VarNext: $i] : ((~v179(VarNext)) | (v159(VarNext) <=> v186(VarNext)))) | (~v179(constB38)) | (v159(constB38) <=> v186(constB38)))),
% 16.91/12.13 inference(rewrite,[status(thm)],[])).
% 16.91/12.13 tff(31676,plain,
% 16.91/12.13 ((~![VarNext: $i] : ((~v179(VarNext)) | (v159(VarNext) <=> v186(VarNext)))) | ((~v179(constB38)) | (v159(constB38) <=> v186(constB38)))),
% 16.91/12.13 inference(quant_inst,[status(thm)],[])).
% 16.91/12.13 tff(31677,plain,
% 16.91/12.13 ((~![VarNext: $i] : ((~v179(VarNext)) | (v159(VarNext) <=> v186(VarNext)))) | (~v179(constB38)) | (v159(constB38) <=> v186(constB38))),
% 16.91/12.13 inference(modus_ponens,[status(thm)],[31676, 31675])).
% 16.91/12.13 tff(31678,plain,
% 16.91/12.13 (v159(constB38) <=> v186(constB38)),
% 16.91/12.13 inference(unit_resolution,[status(thm)],[31677, 13648, 31674])).
% 16.91/12.13 tff(31679,plain,
% 16.91/12.13 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v186(VarNext) <=> v161(VarCurr)))) | ((~nextState(constB37, constB38)) | (v186(constB38) <=> v161(constB37)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v186(VarNext) <=> v161(VarCurr)))) | (~nextState(constB37, constB38)) | (v186(constB38) <=> v161(constB37)))),
% 16.91/12.13 inference(rewrite,[status(thm)],[])).
% 16.91/12.13 tff(31680,plain,
% 16.91/12.13 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v186(VarNext) <=> v161(VarCurr)))) | ((~nextState(constB37, constB38)) | (v186(constB38) <=> v161(constB37)))),
% 16.91/12.13 inference(quant_inst,[status(thm)],[])).
% 16.91/12.13 tff(31681,plain,
% 16.91/12.13 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v186(VarNext) <=> v161(VarCurr)))) | (~nextState(constB37, constB38)) | (v186(constB38) <=> v161(constB37))),
% 16.91/12.13 inference(modus_ponens,[status(thm)],[31680, 31679])).
% 16.91/12.13 tff(31682,plain,
% 16.91/12.13 (v186(constB38) <=> v161(constB37)),
% 16.91/12.13 inference(unit_resolution,[status(thm)],[31681, 3239, 13662])).
% 16.91/12.13 tff(31683,plain,
% 16.91/12.13 ((~![VarCurr: $i] : (v161(VarCurr) <=> v163(VarCurr))) | (v161(constB37) <=> v163(constB37))),
% 16.91/12.13 inference(quant_inst,[status(thm)],[])).
% 16.91/12.13 tff(31684,plain,
% 16.91/12.13 (v161(constB37) <=> v163(constB37)),
% 16.91/12.13 inference(unit_resolution,[status(thm)],[31683, 357])).
% 16.91/12.13 tff(31685,plain,
% 16.91/12.13 ((~![VarCurr: $i] : (v171(VarCurr) <=> (v142(VarCurr) | v150(VarCurr)))) | (v171(constB37) <=> (v142(constB37) | v150(constB37)))),
% 16.91/12.13 inference(quant_inst,[status(thm)],[])).
% 16.91/12.13 tff(31686,plain,
% 16.91/12.13 (v171(constB37) <=> (v142(constB37) | v150(constB37))),
% 16.91/12.13 inference(unit_resolution,[status(thm)],[31685, 369])).
% 16.91/12.13 tff(31687,plain,
% 16.91/12.13 ((~![VarCurr: $i] : (v150(VarCurr) <=> (v141(VarCurr) | v151(VarCurr)))) | (v150(constB37) <=> (v141(constB37) | v151(constB37)))),
% 16.91/12.13 inference(quant_inst,[status(thm)],[])).
% 16.91/12.13 tff(31688,plain,
% 16.91/12.13 (v150(constB37) <=> (v141(constB37) | v151(constB37))),
% 16.91/12.13 inference(unit_resolution,[status(thm)],[31687, 13680])).
% 16.91/12.13 tff(31689,plain,
% 16.91/12.13 ((~![VarCurr: $i] : (v151(VarCurr) <=> (v139(VarCurr) | v140(VarCurr)))) | (v151(constB37) <=> (v139(constB37) | v140(constB37)))),
% 16.91/12.13 inference(quant_inst,[status(thm)],[])).
% 16.91/12.13 tff(31690,plain,
% 16.91/12.13 (v151(constB37) <=> (v139(constB37) | v140(constB37))),
% 16.91/12.13 inference(unit_resolution,[status(thm)],[31689, 13689])).
% 16.91/12.13 tff(31691,plain,
% 16.91/12.13 (((~![VarCurr: $i] : (v140(VarCurr) <=> (~(v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex0)))))) | (v140(constB37) <=> (~(v88(constB37, bitIndex2) | v88(constB37, bitIndex1) | (~v88(constB37, bitIndex0)))))) <=> ((~![VarCurr: $i] : (v140(VarCurr) <=> (~(v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex0)))))) | (v140(constB37) <=> (~(v88(constB37, bitIndex2) | v88(constB37, bitIndex1) | (~v88(constB37, bitIndex0))))))),
% 16.91/12.14 inference(rewrite,[status(thm)],[])).
% 16.91/12.14 tff(31692,plain,
% 16.91/12.14 ((v140(constB37) <=> (~(v88(constB37, bitIndex1) | v88(constB37, bitIndex2) | (~v88(constB37, bitIndex0))))) <=> (v140(constB37) <=> (~(v88(constB37, bitIndex2) | v88(constB37, bitIndex1) | (~v88(constB37, bitIndex0)))))),
% 16.91/12.14 inference(rewrite,[status(thm)],[])).
% 16.91/12.14 tff(31693,plain,
% 16.91/12.14 (((~![VarCurr: $i] : (v140(VarCurr) <=> (~(v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex0)))))) | (v140(constB37) <=> (~(v88(constB37, bitIndex1) | v88(constB37, bitIndex2) | (~v88(constB37, bitIndex0)))))) <=> ((~![VarCurr: $i] : (v140(VarCurr) <=> (~(v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex0)))))) | (v140(constB37) <=> (~(v88(constB37, bitIndex2) | v88(constB37, bitIndex1) | (~v88(constB37, bitIndex0))))))),
% 16.91/12.14 inference(monotonicity,[status(thm)],[31692])).
% 16.91/12.14 tff(31694,plain,
% 16.91/12.14 (((~![VarCurr: $i] : (v140(VarCurr) <=> (~(v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex0)))))) | (v140(constB37) <=> (~(v88(constB37, bitIndex1) | v88(constB37, bitIndex2) | (~v88(constB37, bitIndex0)))))) <=> ((~![VarCurr: $i] : (v140(VarCurr) <=> (~(v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex0)))))) | (v140(constB37) <=> (~(v88(constB37, bitIndex2) | v88(constB37, bitIndex1) | (~v88(constB37, bitIndex0))))))),
% 16.91/12.14 inference(transitivity,[status(thm)],[31693, 31691])).
% 16.91/12.14 tff(31695,plain,
% 16.91/12.14 ((~![VarCurr: $i] : (v140(VarCurr) <=> (~(v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex0)))))) | (v140(constB37) <=> (~(v88(constB37, bitIndex1) | v88(constB37, bitIndex2) | (~v88(constB37, bitIndex0)))))),
% 16.91/12.14 inference(quant_inst,[status(thm)],[])).
% 16.91/12.14 tff(31696,plain,
% 16.91/12.14 ((~![VarCurr: $i] : (v140(VarCurr) <=> (~(v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex0)))))) | (v140(constB37) <=> (~(v88(constB37, bitIndex2) | v88(constB37, bitIndex1) | (~v88(constB37, bitIndex0)))))),
% 16.91/12.14 inference(modus_ponens,[status(thm)],[31695, 31694])).
% 16.91/12.14 tff(31697,plain,
% 16.91/12.14 (v140(constB37) <=> (~(v88(constB37, bitIndex2) | v88(constB37, bitIndex1) | (~v88(constB37, bitIndex0))))),
% 16.91/12.14 inference(unit_resolution,[status(thm)],[31696, 13704])).
% 16.91/12.14 tff(31698,plain,
% 16.91/12.14 (((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | ((~less_3(bitIndex2)) | (v88(constB37, bitIndex2) <=> v90(constB37, bitIndex2)))) <=> ((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | (~less_3(bitIndex2)) | (v88(constB37, bitIndex2) <=> v90(constB37, bitIndex2)))),
% 16.91/12.14 inference(rewrite,[status(thm)],[])).
% 16.91/12.14 tff(31699,plain,
% 16.91/12.14 ((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | ((~less_3(bitIndex2)) | (v88(constB37, bitIndex2) <=> v90(constB37, bitIndex2)))),
% 16.91/12.14 inference(quant_inst,[status(thm)],[])).
% 16.91/12.14 tff(31700,plain,
% 16.91/12.14 ((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | (~less_3(bitIndex2)) | (v88(constB37, bitIndex2) <=> v90(constB37, bitIndex2))),
% 16.91/12.14 inference(modus_ponens,[status(thm)],[31699, 31698])).
% 16.91/12.14 tff(31701,plain,
% 16.91/12.14 (v88(constB37, bitIndex2) <=> v90(constB37, bitIndex2)),
% 16.91/12.14 inference(unit_resolution,[status(thm)],[31700, 413, 410])).
% 16.91/12.14 tff(31702,plain,
% 16.91/12.14 ((~(v88(constB37, bitIndex2) <=> v90(constB37, bitIndex2))) | (~v88(constB37, bitIndex2)) | v90(constB37, bitIndex2)),
% 16.91/12.14 inference(tautology,[status(thm)],[])).
% 16.91/12.14 tff(31703,plain,
% 16.91/12.14 (~v88(constB37, bitIndex2)),
% 16.91/12.14 inference(unit_resolution,[status(thm)],[31702, 8189, 31701])).
% 16.91/12.14 tff(31704,plain,
% 16.91/12.14 (((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | ((~less_3(bitIndex0)) | (v88(constB37, bitIndex0) <=> v90(constB37, bitIndex0)))) <=> ((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | (~less_3(bitIndex0)) | (v88(constB37, bitIndex0) <=> v90(constB37, bitIndex0)))),
% 16.91/12.14 inference(rewrite,[status(thm)],[])).
% 16.91/12.14 tff(31705,plain,
% 16.91/12.14 ((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | ((~less_3(bitIndex0)) | (v88(constB37, bitIndex0) <=> v90(constB37, bitIndex0)))),
% 16.91/12.14 inference(quant_inst,[status(thm)],[])).
% 16.91/12.14 tff(31706,plain,
% 16.91/12.14 ((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | (~less_3(bitIndex0)) | (v88(constB37, bitIndex0) <=> v90(constB37, bitIndex0))),
% 16.91/12.14 inference(modus_ponens,[status(thm)],[31705, 31704])).
% 16.91/12.14 tff(31707,plain,
% 16.91/12.14 (v88(constB37, bitIndex0) <=> v90(constB37, bitIndex0)),
% 16.91/12.14 inference(unit_resolution,[status(thm)],[31706, 5004, 410])).
% 16.91/12.14 tff(31708,plain,
% 16.91/12.14 ((~(v88(constB37, bitIndex0) <=> v90(constB37, bitIndex0))) | v88(constB37, bitIndex0) | (~v90(constB37, bitIndex0))),
% 16.91/12.14 inference(tautology,[status(thm)],[])).
% 16.91/12.14 tff(31709,plain,
% 16.91/12.14 (v88(constB37, bitIndex0)),
% 16.91/12.14 inference(unit_resolution,[status(thm)],[31708, 8220, 31707])).
% 16.91/12.14 tff(31710,plain,
% 16.91/12.14 (((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | ((~less_3(bitIndex1)) | (v88(constB37, bitIndex1) <=> v90(constB37, bitIndex1)))) <=> ((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | (~less_3(bitIndex1)) | (v88(constB37, bitIndex1) <=> v90(constB37, bitIndex1)))),
% 16.91/12.14 inference(rewrite,[status(thm)],[])).
% 16.91/12.14 tff(31711,plain,
% 16.91/12.14 ((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | ((~less_3(bitIndex1)) | (v88(constB37, bitIndex1) <=> v90(constB37, bitIndex1)))),
% 16.91/12.14 inference(quant_inst,[status(thm)],[])).
% 16.91/12.14 tff(31712,plain,
% 16.91/12.14 ((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | (~less_3(bitIndex1)) | (v88(constB37, bitIndex1) <=> v90(constB37, bitIndex1))),
% 16.91/12.14 inference(modus_ponens,[status(thm)],[31711, 31710])).
% 16.91/12.14 tff(31713,plain,
% 16.91/12.14 (v88(constB37, bitIndex1) <=> v90(constB37, bitIndex1)),
% 16.91/12.14 inference(unit_resolution,[status(thm)],[31712, 5017, 410])).
% 16.91/12.14 tff(31714,plain,
% 16.91/12.14 ((~(v88(constB37, bitIndex1) <=> v90(constB37, bitIndex1))) | (~v88(constB37, bitIndex1)) | v90(constB37, bitIndex1)),
% 16.91/12.14 inference(tautology,[status(thm)],[])).
% 16.91/12.14 tff(31715,plain,
% 16.91/12.14 (~v88(constB37, bitIndex1)),
% 16.91/12.14 inference(unit_resolution,[status(thm)],[31714, 8251, 31713])).
% 16.91/12.14 tff(31716,plain,
% 16.91/12.14 ((~(v88(constB37, bitIndex2) | v88(constB37, bitIndex1) | (~v88(constB37, bitIndex0)))) | v88(constB37, bitIndex2) | v88(constB37, bitIndex1) | (~v88(constB37, bitIndex0))),
% 16.91/12.14 inference(tautology,[status(thm)],[])).
% 16.91/12.14 tff(31717,plain,
% 16.91/12.14 (~(v88(constB37, bitIndex2) | v88(constB37, bitIndex1) | (~v88(constB37, bitIndex0)))),
% 16.91/12.14 inference(unit_resolution,[status(thm)],[31716, 31715, 31709, 31703])).
% 16.91/12.14 tff(31718,plain,
% 16.91/12.14 ((~(v140(constB37) <=> (~(v88(constB37, bitIndex2) | v88(constB37, bitIndex1) | (~v88(constB37, bitIndex0)))))) | v140(constB37) | (v88(constB37, bitIndex2) | v88(constB37, bitIndex1) | (~v88(constB37, bitIndex0)))),
% 16.91/12.14 inference(tautology,[status(thm)],[])).
% 16.91/12.14 tff(31719,plain,
% 16.91/12.14 (v140(constB37)),
% 16.91/12.14 inference(unit_resolution,[status(thm)],[31718, 31717, 31697])).
% 16.91/12.14 tff(31720,plain,
% 16.91/12.14 ((v139(constB37) | v140(constB37)) | (~v140(constB37))),
% 16.91/12.14 inference(tautology,[status(thm)],[])).
% 16.91/12.14 tff(31721,plain,
% 16.91/12.14 (v139(constB37) | v140(constB37)),
% 16.91/12.14 inference(unit_resolution,[status(thm)],[31720, 31719])).
% 16.91/12.14 tff(31722,plain,
% 16.91/12.14 ((~(v151(constB37) <=> (v139(constB37) | v140(constB37)))) | v151(constB37) | (~(v139(constB37) | v140(constB37)))),
% 16.91/12.14 inference(tautology,[status(thm)],[])).
% 16.91/12.14 tff(31723,plain,
% 16.91/12.14 (v151(constB37)),
% 16.91/12.14 inference(unit_resolution,[status(thm)],[31722, 31721, 31690])).
% 16.91/12.14 tff(31724,plain,
% 16.91/12.14 ((v141(constB37) | v151(constB37)) | (~v151(constB37))),
% 16.91/12.14 inference(tautology,[status(thm)],[])).
% 16.91/12.14 tff(31725,plain,
% 16.91/12.14 (v141(constB37) | v151(constB37)),
% 16.91/12.14 inference(unit_resolution,[status(thm)],[31724, 31723])).
% 16.91/12.14 tff(31726,plain,
% 16.91/12.14 ((~(v150(constB37) <=> (v141(constB37) | v151(constB37)))) | v150(constB37) | (~(v141(constB37) | v151(constB37)))),
% 16.91/12.14 inference(tautology,[status(thm)],[])).
% 16.91/12.14 tff(31727,plain,
% 16.91/12.14 (v150(constB37)),
% 16.91/12.14 inference(unit_resolution,[status(thm)],[31726, 31725, 31688])).
% 16.91/12.14 tff(31728,plain,
% 16.91/12.14 ((v142(constB37) | v150(constB37)) | (~v150(constB37))),
% 16.91/12.14 inference(tautology,[status(thm)],[])).
% 16.91/12.14 tff(31729,plain,
% 16.91/12.14 (v142(constB37) | v150(constB37)),
% 16.91/12.14 inference(unit_resolution,[status(thm)],[31728, 31727])).
% 16.91/12.14 tff(31730,plain,
% 16.91/12.14 ((~(v171(constB37) <=> (v142(constB37) | v150(constB37)))) | v171(constB37) | (~(v142(constB37) | v150(constB37)))),
% 16.91/12.14 inference(tautology,[status(thm)],[])).
% 16.91/12.14 tff(31731,plain,
% 16.91/12.14 (v171(constB37)),
% 16.91/12.14 inference(unit_resolution,[status(thm)],[31730, 31729, 31686])).
% 16.91/12.14 tff(31732,plain,
% 16.91/12.14 (((~![VarCurr: $i] : ((~v171(VarCurr)) | (~v170(VarCurr)))) | ((~v170(constB37)) | (~v171(constB37)))) <=> ((~![VarCurr: $i] : ((~v171(VarCurr)) | (~v170(VarCurr)))) | (~v170(constB37)) | (~v171(constB37)))),
% 16.91/12.14 inference(rewrite,[status(thm)],[])).
% 16.91/12.14 tff(31733,plain,
% 16.91/12.14 (((~v171(constB37)) | (~v170(constB37))) <=> ((~v170(constB37)) | (~v171(constB37)))),
% 16.91/12.14 inference(rewrite,[status(thm)],[])).
% 16.91/12.14 tff(31734,plain,
% 16.91/12.14 (((~![VarCurr: $i] : ((~v171(VarCurr)) | (~v170(VarCurr)))) | ((~v171(constB37)) | (~v170(constB37)))) <=> ((~![VarCurr: $i] : ((~v171(VarCurr)) | (~v170(VarCurr)))) | ((~v170(constB37)) | (~v171(constB37))))),
% 16.91/12.14 inference(monotonicity,[status(thm)],[31733])).
% 16.91/12.14 tff(31735,plain,
% 16.91/12.14 (((~![VarCurr: $i] : ((~v171(VarCurr)) | (~v170(VarCurr)))) | ((~v171(constB37)) | (~v170(constB37)))) <=> ((~![VarCurr: $i] : ((~v171(VarCurr)) | (~v170(VarCurr)))) | (~v170(constB37)) | (~v171(constB37)))),
% 16.91/12.14 inference(transitivity,[status(thm)],[31734, 31732])).
% 16.91/12.14 tff(31736,plain,
% 16.91/12.14 ((~![VarCurr: $i] : ((~v171(VarCurr)) | (~v170(VarCurr)))) | ((~v171(constB37)) | (~v170(constB37)))),
% 16.91/12.14 inference(quant_inst,[status(thm)],[])).
% 16.91/12.14 tff(31737,plain,
% 16.91/12.14 ((~![VarCurr: $i] : ((~v171(VarCurr)) | (~v170(VarCurr)))) | (~v170(constB37)) | (~v171(constB37))),
% 16.91/12.14 inference(modus_ponens,[status(thm)],[31736, 31735])).
% 16.91/12.14 tff(31738,plain,
% 16.91/12.14 ((~v170(constB37)) | (~v171(constB37))),
% 16.91/12.14 inference(unit_resolution,[status(thm)],[31737, 13061])).
% 16.91/12.14 tff(31739,plain,
% 16.91/12.14 (~v170(constB37)),
% 16.91/12.14 inference(unit_resolution,[status(thm)],[31738, 31731])).
% 16.91/12.14 tff(31740,plain,
% 16.91/12.14 ((~![VarCurr: $i] : (v166(VarCurr) <=> (v145(VarCurr) | v167(VarCurr)))) | (v166(constB37) <=> (v145(constB37) | v167(constB37)))),
% 16.91/12.14 inference(quant_inst,[status(thm)],[])).
% 16.91/12.14 tff(31741,plain,
% 16.91/12.14 (v166(constB37) <=> (v145(constB37) | v167(constB37))),
% 16.91/12.14 inference(unit_resolution,[status(thm)],[31740, 13079])).
% 16.91/12.14 tff(31742,plain,
% 16.91/12.14 ((~![VarCurr: $i] : (v167(VarCurr) <=> (v142(VarCurr) | v168(VarCurr)))) | (v167(constB37) <=> (v142(constB37) | v168(constB37)))),
% 16.91/12.14 inference(quant_inst,[status(thm)],[])).
% 16.91/12.14 tff(31743,plain,
% 16.91/12.14 (v167(constB37) <=> (v142(constB37) | v168(constB37))),
% 16.91/12.14 inference(unit_resolution,[status(thm)],[31742, 13091])).
% 16.91/12.14 tff(31744,plain,
% 16.91/12.14 ((~![VarCurr: $i] : (v168(VarCurr) <=> (v141(VarCurr) | v169(VarCurr)))) | (v168(constB37) <=> (v141(constB37) | v169(constB37)))),
% 16.91/12.14 inference(quant_inst,[status(thm)],[])).
% 16.91/12.14 tff(31745,plain,
% 16.91/12.14 (v168(constB37) <=> (v141(constB37) | v169(constB37))),
% 16.91/12.14 inference(unit_resolution,[status(thm)],[31744, 20513])).
% 16.91/12.14 tff(31746,plain,
% 16.91/12.14 ((~![VarCurr: $i] : (v169(VarCurr) <=> (v139(VarCurr) | v140(VarCurr)))) | (v169(constB37) <=> (v139(constB37) | v140(constB37)))),
% 16.91/12.14 inference(quant_inst,[status(thm)],[])).
% 16.91/12.14 tff(31747,plain,
% 16.91/12.14 (v169(constB37) <=> (v139(constB37) | v140(constB37))),
% 16.91/12.14 inference(unit_resolution,[status(thm)],[31746, 20522])).
% 16.91/12.14 tff(31748,plain,
% 16.91/12.14 ((~(v169(constB37) <=> (v139(constB37) | v140(constB37)))) | v169(constB37) | (~(v139(constB37) | v140(constB37)))),
% 16.91/12.14 inference(tautology,[status(thm)],[])).
% 16.91/12.14 tff(31749,plain,
% 16.91/12.14 (v169(constB37)),
% 16.91/12.14 inference(unit_resolution,[status(thm)],[31748, 31721, 31747])).
% 16.91/12.14 tff(31750,plain,
% 16.91/12.14 ((v141(constB37) | v169(constB37)) | (~v169(constB37))),
% 16.91/12.14 inference(tautology,[status(thm)],[])).
% 16.91/12.14 tff(31751,plain,
% 16.91/12.14 (v141(constB37) | v169(constB37)),
% 16.91/12.14 inference(unit_resolution,[status(thm)],[31750, 31749])).
% 16.91/12.14 tff(31752,plain,
% 16.91/12.14 ((~(v168(constB37) <=> (v141(constB37) | v169(constB37)))) | v168(constB37) | (~(v141(constB37) | v169(constB37)))),
% 16.91/12.14 inference(tautology,[status(thm)],[])).
% 16.91/12.14 tff(31753,plain,
% 16.91/12.14 (v168(constB37)),
% 16.91/12.14 inference(unit_resolution,[status(thm)],[31752, 31751, 31745])).
% 16.91/12.14 tff(31754,plain,
% 16.91/12.14 ((v142(constB37) | v168(constB37)) | (~v168(constB37))),
% 16.91/12.14 inference(tautology,[status(thm)],[])).
% 16.91/12.14 tff(31755,plain,
% 16.91/12.14 (v142(constB37) | v168(constB37)),
% 16.91/12.14 inference(unit_resolution,[status(thm)],[31754, 31753])).
% 16.91/12.14 tff(31756,plain,
% 16.91/12.14 ((~(v167(constB37) <=> (v142(constB37) | v168(constB37)))) | v167(constB37) | (~(v142(constB37) | v168(constB37)))),
% 16.91/12.14 inference(tautology,[status(thm)],[])).
% 16.91/12.14 tff(31757,plain,
% 16.91/12.14 (v167(constB37)),
% 16.91/12.14 inference(unit_resolution,[status(thm)],[31756, 31755, 31743])).
% 16.91/12.14 tff(31758,plain,
% 16.91/12.14 ((v145(constB37) | v167(constB37)) | (~v167(constB37))),
% 16.91/12.14 inference(tautology,[status(thm)],[])).
% 16.91/12.14 tff(31759,plain,
% 16.91/12.14 (v145(constB37) | v167(constB37)),
% 16.91/12.14 inference(unit_resolution,[status(thm)],[31758, 31757])).
% 16.91/12.14 tff(31760,plain,
% 16.91/12.14 ((~(v166(constB37) <=> (v145(constB37) | v167(constB37)))) | v166(constB37) | (~(v145(constB37) | v167(constB37)))),
% 16.91/12.14 inference(tautology,[status(thm)],[])).
% 16.91/12.14 tff(31761,plain,
% 16.91/12.14 (v166(constB37)),
% 16.91/12.14 inference(unit_resolution,[status(thm)],[31760, 31759, 31741])).
% 16.91/12.14 tff(31762,plain,
% 16.91/12.14 (((~![VarNext: $i] : ((~v166(VarNext)) | (v163(VarNext) <=> v170(VarNext)))) | ((~v166(constB37)) | (v163(constB37) <=> v170(constB37)))) <=> ((~![VarNext: $i] : ((~v166(VarNext)) | (v163(VarNext) <=> v170(VarNext)))) | (~v166(constB37)) | (v163(constB37) <=> v170(constB37)))),
% 16.91/12.14 inference(rewrite,[status(thm)],[])).
% 16.91/12.14 tff(31763,plain,
% 16.91/12.14 ((~![VarNext: $i] : ((~v166(VarNext)) | (v163(VarNext) <=> v170(VarNext)))) | ((~v166(constB37)) | (v163(constB37) <=> v170(constB37)))),
% 16.91/12.14 inference(quant_inst,[status(thm)],[])).
% 16.91/12.14 tff(31764,plain,
% 16.91/12.14 ((~![VarNext: $i] : ((~v166(VarNext)) | (v163(VarNext) <=> v170(VarNext)))) | (~v166(constB37)) | (v163(constB37) <=> v170(constB37))),
% 16.91/12.14 inference(modus_ponens,[status(thm)],[31763, 31762])).
% 16.91/12.14 tff(31765,plain,
% 16.91/12.14 ((~v166(constB37)) | (v163(constB37) <=> v170(constB37))),
% 16.91/12.14 inference(unit_resolution,[status(thm)],[31764, 13111])).
% 16.91/12.14 tff(31766,plain,
% 16.91/12.14 (v163(constB37) <=> v170(constB37)),
% 16.91/12.14 inference(unit_resolution,[status(thm)],[31765, 31761])).
% 16.91/12.14 tff(31767,plain,
% 16.91/12.14 ((~(v163(constB37) <=> v170(constB37))) | (~v163(constB37)) | v170(constB37)),
% 16.91/12.14 inference(tautology,[status(thm)],[])).
% 16.91/12.14 tff(31768,plain,
% 16.91/12.14 (~v163(constB37)),
% 16.91/12.14 inference(unit_resolution,[status(thm)],[31767, 31766, 31739])).
% 16.91/12.14 tff(31769,plain,
% 16.91/12.14 ((~(v161(constB37) <=> v163(constB37))) | (~v161(constB37)) | v163(constB37)),
% 16.91/12.14 inference(tautology,[status(thm)],[])).
% 16.91/12.14 tff(31770,plain,
% 16.91/12.14 (~v161(constB37)),
% 16.91/12.14 inference(unit_resolution,[status(thm)],[31769, 31768, 31684])).
% 16.91/12.14 tff(31771,plain,
% 16.91/12.14 ((~(v186(constB38) <=> v161(constB37))) | (~v186(constB38)) | v161(constB37)),
% 16.91/12.14 inference(tautology,[status(thm)],[])).
% 16.91/12.14 tff(31772,plain,
% 16.91/12.14 (~v186(constB38)),
% 16.91/12.14 inference(unit_resolution,[status(thm)],[31771, 31770, 31682])).
% 16.91/12.14 tff(31773,plain,
% 16.91/12.14 ((~(v159(constB38) <=> v186(constB38))) | (~v159(constB38)) | v186(constB38)),
% 16.91/12.14 inference(tautology,[status(thm)],[])).
% 16.91/12.14 tff(31774,plain,
% 16.91/12.14 (~v159(constB38)),
% 16.91/12.14 inference(unit_resolution,[status(thm)],[31773, 31772, 31678])).
% 16.91/12.14 tff(31775,plain,
% 16.91/12.14 ((~(v159(constB39) <=> v159(constB38))) | (~v159(constB39)) | v159(constB38)),
% 16.91/12.14 inference(tautology,[status(thm)],[])).
% 16.91/12.14 tff(31776,plain,
% 16.91/12.14 (~v159(constB39)),
% 16.91/12.14 inference(unit_resolution,[status(thm)],[31775, 31774, 31650])).
% 16.91/12.14 tff(31777,plain,
% 16.91/12.14 (((~v159(constB39)) | (~v161(constB39))) | v159(constB39)),
% 16.91/12.14 inference(tautology,[status(thm)],[])).
% 16.91/12.14 tff(31778,plain,
% 16.91/12.14 ((~v159(constB39)) | (~v161(constB39))),
% 16.91/12.14 inference(unit_resolution,[status(thm)],[31777, 31776])).
% 16.91/12.14 tff(31779,plain,
% 16.91/12.14 ((~(v201(constB39) <=> (~((~v159(constB39)) | (~v161(constB39)))))) | (~v201(constB39)) | (~((~v159(constB39)) | (~v161(constB39))))),
% 16.91/12.14 inference(tautology,[status(thm)],[])).
% 16.91/12.14 tff(31780,plain,
% 16.91/12.14 (~v201(constB39)),
% 16.91/12.14 inference(unit_resolution,[status(thm)],[31779, 31778, 31624])).
% 16.91/12.14 tff(31781,plain,
% 16.91/12.14 (((~v197(constB39)) | (~v201(constB39))) | v201(constB39)),
% 16.91/12.14 inference(tautology,[status(thm)],[])).
% 16.91/12.14 tff(31782,plain,
% 16.91/12.14 ((~v197(constB39)) | (~v201(constB39))),
% 16.91/12.14 inference(unit_resolution,[status(thm)],[31781, 31780])).
% 16.91/12.14 tff(31783,plain,
% 16.91/12.14 ((~(v200(constB39) <=> (~((~v197(constB39)) | (~v201(constB39)))))) | (~v200(constB39)) | (~((~v197(constB39)) | (~v201(constB39))))),
% 16.91/12.14 inference(tautology,[status(thm)],[])).
% 16.91/12.14 tff(31784,plain,
% 16.91/12.14 (~v200(constB39)),
% 16.91/12.14 inference(unit_resolution,[status(thm)],[31783, 31782, 31622])).
% 16.91/12.14 tff(31785,plain,
% 16.91/12.14 (((~v199(constB39)) | (~v200(constB39))) | v200(constB39)),
% 16.91/12.14 inference(tautology,[status(thm)],[])).
% 16.91/12.14 tff(31786,plain,
% 16.91/12.14 ((~v199(constB39)) | (~v200(constB39))),
% 16.91/12.14 inference(unit_resolution,[status(thm)],[31785, 31784])).
% 16.91/12.14 tff(31787,plain,
% 16.91/12.14 ((~(v198(constB39) <=> (~((~v199(constB39)) | (~v200(constB39)))))) | (~v198(constB39)) | (~((~v199(constB39)) | (~v200(constB39))))),
% 16.91/12.14 inference(tautology,[status(thm)],[])).
% 16.91/12.14 tff(31788,plain,
% 16.91/12.14 (~v198(constB39)),
% 16.91/12.14 inference(unit_resolution,[status(thm)],[31787, 31786, 31620])).
% 16.91/12.14 tff(31789,plain,
% 16.91/12.14 ((~(v194(constB39) | v198(constB39))) | v194(constB39) | v198(constB39)),
% 16.91/12.14 inference(tautology,[status(thm)],[])).
% 16.91/12.14 tff(31790,plain,
% 16.91/12.14 (~(v194(constB39) | v198(constB39))),
% 16.91/12.14 inference(unit_resolution,[status(thm)],[31789, 31788, 31618])).
% 16.91/12.14 tff(31791,plain,
% 16.91/12.14 ((~(v191(constB39) <=> (v194(constB39) | v198(constB39)))) | (~v191(constB39)) | (v194(constB39) | v198(constB39))),
% 16.91/12.14 inference(tautology,[status(thm)],[])).
% 16.91/12.14 tff(31792,plain,
% 16.91/12.14 (~v191(constB39)),
% 16.91/12.14 inference(unit_resolution,[status(thm)],[31791, 31790, 31545])).
% 16.91/12.14 tff(31793,plain,
% 16.91/12.14 ((~(v193(constB40) <=> v191(constB39))) | (~v193(constB40)) | v191(constB39)),
% 16.91/12.14 inference(tautology,[status(thm)],[])).
% 16.91/12.14 tff(31794,plain,
% 16.91/12.14 (~v193(constB40)),
% 16.91/12.14 inference(unit_resolution,[status(thm)],[31793, 31792, 31543])).
% 16.91/12.14 tff(31795,plain,
% 16.91/12.14 ((~(v157(constB40) <=> v193(constB40))) | (~v157(constB40)) | v193(constB40)),
% 16.91/12.14 inference(tautology,[status(thm)],[])).
% 16.91/12.14 tff(31796,plain,
% 16.91/12.14 (~v157(constB40)),
% 16.91/12.14 inference(unit_resolution,[status(thm)],[31795, 31794, 31539])).
% 16.91/12.14 tff(31797,plain,
% 16.91/12.14 (((~v157(constB40)) | (~v195(constB40))) | v157(constB40)),
% 16.91/12.14 inference(tautology,[status(thm)],[])).
% 16.91/12.14 tff(31798,plain,
% 16.91/12.14 ((~v157(constB40)) | (~v195(constB40))),
% 16.91/12.14 inference(unit_resolution,[status(thm)],[31797, 31796])).
% 16.91/12.14 tff(31799,plain,
% 16.91/12.14 ((~(v194(constB40) <=> (~((~v157(constB40)) | (~v195(constB40)))))) | (~v194(constB40)) | (~((~v157(constB40)) | (~v195(constB40))))),
% 16.91/12.14 inference(tautology,[status(thm)],[])).
% 16.91/12.14 tff(31800,plain,
% 16.91/12.14 (~v194(constB40)),
% 16.91/12.14 inference(unit_resolution,[status(thm)],[31799, 31798, 31537])).
% 16.91/12.14 tff(31801,plain,
% 16.91/12.14 ((~(v194(constB40) | v198(constB40))) | v194(constB40) | v198(constB40)),
% 16.91/12.14 inference(tautology,[status(thm)],[])).
% 16.91/12.14 tff(31802,plain,
% 16.91/12.14 (~(v194(constB40) | v198(constB40))),
% 16.91/12.14 inference(unit_resolution,[status(thm)],[31801, 31800, 31530])).
% 16.91/12.14 tff(31803,plain,
% 16.91/12.14 ((~(v191(constB40) <=> (v194(constB40) | v198(constB40)))) | (~v191(constB40)) | (v194(constB40) | v198(constB40))),
% 16.91/12.14 inference(tautology,[status(thm)],[])).
% 16.91/12.14 tff(31804,plain,
% 16.91/12.14 (~v191(constB40)),
% 16.91/12.14 inference(unit_resolution,[status(thm)],[31803, 31802, 31505])).
% 16.91/12.14 tff(31805,plain,
% 16.91/12.14 ((~(v193(constB41) <=> v191(constB40))) | (~v193(constB41)) | v191(constB40)),
% 16.91/12.14 inference(tautology,[status(thm)],[])).
% 16.91/12.14 tff(31806,plain,
% 16.91/12.14 (~v193(constB41)),
% 16.91/12.14 inference(unit_resolution,[status(thm)],[31805, 31804, 31503])).
% 16.91/12.14 tff(31807,plain,
% 16.91/12.14 ($false),
% 16.91/12.14 inference(unit_resolution,[status(thm)],[31806, 31499])).
% 16.91/12.14 tff(31808,plain,(~(constB41 = VarCurr!0)), inference(lemma,lemma(discharge,[]))).
% 16.91/12.14 tff(31809,assumption,(constB61 = VarCurr!0), introduced(assumption)).
% 16.91/12.14 tff(31810,plain,
% 16.91/12.15 (v193(constB61) <=> v193(VarCurr!0)),
% 16.91/12.15 inference(monotonicity,[status(thm)],[31809])).
% 16.91/12.15 tff(31811,plain,
% 16.91/12.15 (v193(VarCurr!0) <=> v193(constB61)),
% 16.91/12.15 inference(symmetry,[status(thm)],[31810])).
% 16.91/12.15 tff(31812,plain,
% 16.91/12.15 (v193(constB61)),
% 16.91/12.15 inference(modus_ponens,[status(thm)],[59, 31811])).
% 16.91/12.15 tff(31813,plain,
% 16.91/12.15 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v193(VarNext) <=> v191(VarCurr)))) | ((~nextState(constB60, constB61)) | (v193(constB61) <=> v191(constB60)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v193(VarNext) <=> v191(VarCurr)))) | (~nextState(constB60, constB61)) | (v193(constB61) <=> v191(constB60)))),
% 16.91/12.15 inference(rewrite,[status(thm)],[])).
% 16.91/12.15 tff(31814,plain,
% 16.91/12.15 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v193(VarNext) <=> v191(VarCurr)))) | ((~nextState(constB60, constB61)) | (v193(constB61) <=> v191(constB60)))),
% 16.91/12.15 inference(quant_inst,[status(thm)],[])).
% 16.91/12.15 tff(31815,plain,
% 16.91/12.15 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v193(VarNext) <=> v191(VarCurr)))) | (~nextState(constB60, constB61)) | (v193(constB61) <=> v191(constB60))),
% 16.91/12.15 inference(modus_ponens,[status(thm)],[31814, 31813])).
% 16.91/12.15 tff(31816,plain,
% 16.91/12.15 (v193(constB61) <=> v191(constB60)),
% 16.91/12.15 inference(unit_resolution,[status(thm)],[31815, 2186, 70])).
% 16.91/12.15 tff(31817,plain,
% 16.91/12.15 ((~![VarCurr: $i] : (v191(VarCurr) <=> (v194(VarCurr) | v198(VarCurr)))) | (v191(constB60) <=> (v194(constB60) | v198(constB60)))),
% 16.91/12.15 inference(quant_inst,[status(thm)],[])).
% 16.91/12.15 tff(31818,plain,
% 16.91/12.15 (v191(constB60) <=> (v194(constB60) | v198(constB60))),
% 16.91/12.15 inference(unit_resolution,[status(thm)],[31817, 84])).
% 16.91/12.15 tff(31819,plain,
% 16.91/12.15 ((~![VarCurr: $i] : (v198(VarCurr) <=> (~((~v199(VarCurr)) | (~v200(VarCurr)))))) | (v198(constB60) <=> (~((~v199(constB60)) | (~v200(constB60)))))),
% 16.91/12.15 inference(quant_inst,[status(thm)],[])).
% 16.91/12.15 tff(31820,plain,
% 16.91/12.15 (v198(constB60) <=> (~((~v199(constB60)) | (~v200(constB60))))),
% 16.91/12.15 inference(unit_resolution,[status(thm)],[31819, 96])).
% 16.91/12.15 tff(31821,plain,
% 16.91/12.15 ((~![VarCurr: $i] : (v200(VarCurr) <=> (~((~v197(VarCurr)) | (~v201(VarCurr)))))) | (v200(constB60) <=> (~((~v197(constB60)) | (~v201(constB60)))))),
% 16.91/12.15 inference(quant_inst,[status(thm)],[])).
% 16.91/12.15 tff(31822,plain,
% 16.91/12.15 (v200(constB60) <=> (~((~v197(constB60)) | (~v201(constB60))))),
% 16.91/12.15 inference(unit_resolution,[status(thm)],[31821, 108])).
% 16.91/12.15 tff(31823,plain,
% 16.91/12.15 ((~![VarCurr: $i] : (v197(VarCurr) <=> (~((~v39(VarCurr)) | (~v9(VarCurr)))))) | (v197(constB60) <=> (~((~v39(constB60)) | (~v9(constB60)))))),
% 16.91/12.15 inference(quant_inst,[status(thm)],[])).
% 16.91/12.15 tff(31824,plain,
% 16.91/12.15 (v197(constB60) <=> (~((~v39(constB60)) | (~v9(constB60))))),
% 16.91/12.15 inference(unit_resolution,[status(thm)],[31823, 120])).
% 16.91/12.15 tff(31825,plain,
% 16.91/12.15 ((~![VarCurr: $i] : ((~v39(VarCurr)) <=> v1(VarCurr))) | ((~v39(constB60)) <=> v1(constB60))),
% 16.91/12.15 inference(quant_inst,[status(thm)],[])).
% 16.91/12.15 tff(31826,plain,
% 16.91/12.15 ((~v39(constB60)) <=> v1(constB60)),
% 16.91/12.15 inference(unit_resolution,[status(thm)],[31825, 129])).
% 16.91/12.15 tff(31827,plain,
% 16.91/12.15 ((~((~v39(constB60)) <=> v1(constB60))) | (~v39(constB60)) | (~v1(constB60))),
% 16.91/12.15 inference(tautology,[status(thm)],[])).
% 16.91/12.15 tff(31828,plain,
% 16.91/12.15 ((~((~v39(constB60)) <=> v1(constB60))) | (~v39(constB60))),
% 16.91/12.15 inference(unit_resolution,[status(thm)],[31827, 2248])).
% 16.91/12.15 tff(31829,plain,
% 16.91/12.15 (~v39(constB60)),
% 16.91/12.15 inference(unit_resolution,[status(thm)],[31828, 31826])).
% 16.91/12.15 tff(31830,plain,
% 16.91/12.15 (((~v39(constB60)) | (~v9(constB60))) | v39(constB60)),
% 16.91/12.15 inference(tautology,[status(thm)],[])).
% 16.91/12.15 tff(31831,plain,
% 16.91/12.15 ((~v39(constB60)) | (~v9(constB60))),
% 16.91/12.15 inference(unit_resolution,[status(thm)],[31830, 31829])).
% 16.91/12.15 tff(31832,plain,
% 16.91/12.15 ((~(v197(constB60) <=> (~((~v39(constB60)) | (~v9(constB60)))))) | (~v197(constB60)) | (~((~v39(constB60)) | (~v9(constB60))))),
% 16.91/12.15 inference(tautology,[status(thm)],[])).
% 16.91/12.15 tff(31833,plain,
% 16.91/12.15 ((~(v197(constB60) <=> (~((~v39(constB60)) | (~v9(constB60)))))) | (~v197(constB60))),
% 16.91/12.15 inference(unit_resolution,[status(thm)],[31832, 31831])).
% 16.91/12.15 tff(31834,plain,
% 16.91/12.15 (~v197(constB60)),
% 16.91/12.15 inference(unit_resolution,[status(thm)],[31833, 31824])).
% 16.91/12.15 tff(31835,plain,
% 16.91/12.15 (((~v197(constB60)) | (~v201(constB60))) | v197(constB60)),
% 16.91/12.15 inference(tautology,[status(thm)],[])).
% 16.91/12.15 tff(31836,plain,
% 16.91/12.15 ((~v197(constB60)) | (~v201(constB60))),
% 16.91/12.15 inference(unit_resolution,[status(thm)],[31835, 31834])).
% 16.91/12.15 tff(31837,plain,
% 16.91/12.15 ((~(v200(constB60) <=> (~((~v197(constB60)) | (~v201(constB60)))))) | (~v200(constB60)) | (~((~v197(constB60)) | (~v201(constB60))))),
% 16.91/12.15 inference(tautology,[status(thm)],[])).
% 16.91/12.15 tff(31838,plain,
% 16.91/12.15 ((~(v200(constB60) <=> (~((~v197(constB60)) | (~v201(constB60)))))) | (~v200(constB60))),
% 16.91/12.15 inference(unit_resolution,[status(thm)],[31837, 31836])).
% 16.91/12.15 tff(31839,plain,
% 16.91/12.15 (~v200(constB60)),
% 16.91/12.15 inference(unit_resolution,[status(thm)],[31838, 31822])).
% 16.91/12.15 tff(31840,plain,
% 16.91/12.15 (((~v199(constB60)) | (~v200(constB60))) | v200(constB60)),
% 16.91/12.15 inference(tautology,[status(thm)],[])).
% 16.91/12.15 tff(31841,plain,
% 16.91/12.15 ((~v199(constB60)) | (~v200(constB60))),
% 16.91/12.15 inference(unit_resolution,[status(thm)],[31840, 31839])).
% 16.91/12.15 tff(31842,plain,
% 16.91/12.15 ((~(v198(constB60) <=> (~((~v199(constB60)) | (~v200(constB60)))))) | (~v198(constB60)) | (~((~v199(constB60)) | (~v200(constB60))))),
% 16.91/12.15 inference(tautology,[status(thm)],[])).
% 16.91/12.15 tff(31843,plain,
% 16.91/12.15 (~v198(constB60)),
% 16.91/12.15 inference(unit_resolution,[status(thm)],[31842, 31841, 31820])).
% 16.91/12.15 tff(31844,plain,
% 16.91/12.15 (((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB60) <=> (~((~v157(constB60)) | (~v195(constB60)))))) <=> ((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB60) <=> (~((~v157(constB60)) | (~v195(constB60))))))),
% 16.91/12.15 inference(rewrite,[status(thm)],[])).
% 16.91/12.15 tff(31845,plain,
% 16.91/12.15 ((v194(constB60) <=> (~((~v195(constB60)) | (~v157(constB60))))) <=> (v194(constB60) <=> (~((~v157(constB60)) | (~v195(constB60)))))),
% 16.91/12.15 inference(rewrite,[status(thm)],[])).
% 16.91/12.15 tff(31846,plain,
% 16.91/12.15 (((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB60) <=> (~((~v195(constB60)) | (~v157(constB60)))))) <=> ((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB60) <=> (~((~v157(constB60)) | (~v195(constB60))))))),
% 16.91/12.15 inference(monotonicity,[status(thm)],[31845])).
% 16.91/12.15 tff(31847,plain,
% 16.91/12.15 (((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB60) <=> (~((~v195(constB60)) | (~v157(constB60)))))) <=> ((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB60) <=> (~((~v157(constB60)) | (~v195(constB60))))))),
% 16.91/12.15 inference(transitivity,[status(thm)],[31846, 31844])).
% 16.91/12.15 tff(31848,plain,
% 16.91/12.15 ((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB60) <=> (~((~v195(constB60)) | (~v157(constB60)))))),
% 16.91/12.15 inference(quant_inst,[status(thm)],[])).
% 16.91/12.15 tff(31849,plain,
% 16.91/12.15 ((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB60) <=> (~((~v157(constB60)) | (~v195(constB60)))))),
% 16.91/12.15 inference(modus_ponens,[status(thm)],[31848, 31847])).
% 16.91/12.15 tff(31850,plain,
% 16.91/12.15 (v194(constB60) <=> (~((~v157(constB60)) | (~v195(constB60))))),
% 16.91/12.15 inference(unit_resolution,[status(thm)],[31849, 161])).
% 16.91/12.15 tff(31851,plain,
% 16.91/12.15 ((~![VarNext: $i] : (v157(VarNext) <=> v193(VarNext))) | (v157(constB60) <=> v193(constB60))),
% 16.91/12.15 inference(quant_inst,[status(thm)],[])).
% 16.91/12.15 tff(31852,plain,
% 16.91/12.15 (v157(constB60) <=> v193(constB60)),
% 16.91/12.15 inference(unit_resolution,[status(thm)],[31851, 13])).
% 16.91/12.15 tff(31853,plain,
% 16.91/12.15 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v193(VarNext) <=> v191(VarCurr)))) | ((~nextState(constB59, constB60)) | (v193(constB60) <=> v191(constB59)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v193(VarNext) <=> v191(VarCurr)))) | (~nextState(constB59, constB60)) | (v193(constB60) <=> v191(constB59)))),
% 16.91/12.15 inference(rewrite,[status(thm)],[])).
% 16.91/12.15 tff(31854,plain,
% 16.91/12.15 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v193(VarNext) <=> v191(VarCurr)))) | ((~nextState(constB59, constB60)) | (v193(constB60) <=> v191(constB59)))),
% 16.91/12.15 inference(quant_inst,[status(thm)],[])).
% 16.91/12.15 tff(31855,plain,
% 16.91/12.15 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v193(VarNext) <=> v191(VarCurr)))) | (~nextState(constB59, constB60)) | (v193(constB60) <=> v191(constB59))),
% 16.91/12.15 inference(modus_ponens,[status(thm)],[31854, 31853])).
% 16.91/12.15 tff(31856,plain,
% 16.91/12.15 (v193(constB60) <=> v191(constB59)),
% 16.91/12.15 inference(unit_resolution,[status(thm)],[31855, 2218, 70])).
% 16.91/12.15 tff(31857,plain,
% 16.91/12.15 ((~![VarCurr: $i] : (v191(VarCurr) <=> (v194(VarCurr) | v198(VarCurr)))) | (v191(constB59) <=> (v194(constB59) | v198(constB59)))),
% 16.91/12.15 inference(quant_inst,[status(thm)],[])).
% 16.91/12.15 tff(31858,plain,
% 16.91/12.15 (v191(constB59) <=> (v194(constB59) | v198(constB59))),
% 16.91/12.15 inference(unit_resolution,[status(thm)],[31857, 84])).
% 16.91/12.15 tff(31859,plain,
% 16.91/12.15 (((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB59) <=> (~((~v157(constB59)) | (~v195(constB59)))))) <=> ((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB59) <=> (~((~v157(constB59)) | (~v195(constB59))))))),
% 16.91/12.15 inference(rewrite,[status(thm)],[])).
% 16.91/12.15 tff(31860,plain,
% 16.91/12.15 ((v194(constB59) <=> (~((~v195(constB59)) | (~v157(constB59))))) <=> (v194(constB59) <=> (~((~v157(constB59)) | (~v195(constB59)))))),
% 16.91/12.15 inference(rewrite,[status(thm)],[])).
% 16.91/12.15 tff(31861,plain,
% 16.91/12.15 (((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB59) <=> (~((~v195(constB59)) | (~v157(constB59)))))) <=> ((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB59) <=> (~((~v157(constB59)) | (~v195(constB59))))))),
% 16.91/12.15 inference(monotonicity,[status(thm)],[31860])).
% 16.91/12.15 tff(31862,plain,
% 16.91/12.15 (((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB59) <=> (~((~v195(constB59)) | (~v157(constB59)))))) <=> ((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB59) <=> (~((~v157(constB59)) | (~v195(constB59))))))),
% 16.91/12.15 inference(transitivity,[status(thm)],[31861, 31859])).
% 16.91/12.15 tff(31863,plain,
% 16.91/12.15 ((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB59) <=> (~((~v195(constB59)) | (~v157(constB59)))))),
% 16.91/12.15 inference(quant_inst,[status(thm)],[])).
% 16.91/12.15 tff(31864,plain,
% 16.91/12.15 ((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB59) <=> (~((~v157(constB59)) | (~v195(constB59)))))),
% 16.91/12.15 inference(modus_ponens,[status(thm)],[31863, 31862])).
% 16.91/12.15 tff(31865,plain,
% 16.91/12.15 (v194(constB59) <=> (~((~v157(constB59)) | (~v195(constB59))))),
% 16.91/12.15 inference(unit_resolution,[status(thm)],[31864, 161])).
% 16.91/12.15 tff(31866,plain,
% 16.91/12.15 ((~![VarCurr: $i] : ((~v195(VarCurr)) <=> v196(VarCurr))) | ((~v195(constB59)) <=> v196(constB59))),
% 16.91/12.15 inference(quant_inst,[status(thm)],[])).
% 16.91/12.15 tff(31867,plain,
% 16.91/12.15 ((~v195(constB59)) <=> v196(constB59)),
% 16.91/12.15 inference(unit_resolution,[status(thm)],[31866, 193])).
% 16.91/12.15 tff(31868,plain,
% 16.91/12.15 ((~![VarCurr: $i] : (v196(VarCurr) <=> (v197(VarCurr) | v26(VarCurr)))) | (v196(constB59) <=> (v197(constB59) | v26(constB59)))),
% 16.91/12.15 inference(quant_inst,[status(thm)],[])).
% 16.91/12.15 tff(31869,plain,
% 16.91/12.15 (v196(constB59) <=> (v197(constB59) | v26(constB59))),
% 16.91/12.15 inference(unit_resolution,[status(thm)],[31868, 202])).
% 16.91/12.15 tff(31870,plain,
% 16.91/12.15 ((~![VarCurr: $i] : (v197(VarCurr) <=> (~((~v39(VarCurr)) | (~v9(VarCurr)))))) | (v197(constB59) <=> (~((~v39(constB59)) | (~v9(constB59)))))),
% 16.91/12.15 inference(quant_inst,[status(thm)],[])).
% 16.91/12.15 tff(31871,plain,
% 16.91/12.15 (v197(constB59) <=> (~((~v39(constB59)) | (~v9(constB59))))),
% 16.91/12.15 inference(unit_resolution,[status(thm)],[31870, 120])).
% 16.91/12.15 tff(31872,plain,
% 16.91/12.15 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | ((~nextState(constB59, constB60)) | (v13(constB60) <=> v9(constB59)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | (~nextState(constB59, constB60)) | (v13(constB60) <=> v9(constB59)))),
% 16.91/12.15 inference(rewrite,[status(thm)],[])).
% 16.91/12.15 tff(31873,plain,
% 16.91/12.15 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | ((~nextState(constB59, constB60)) | (v13(constB60) <=> v9(constB59)))),
% 16.91/12.15 inference(quant_inst,[status(thm)],[])).
% 16.91/12.15 tff(31874,plain,
% 16.91/12.15 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | (~nextState(constB59, constB60)) | (v13(constB60) <=> v9(constB59))),
% 16.91/12.15 inference(modus_ponens,[status(thm)],[31873, 31872])).
% 16.91/12.15 tff(31875,plain,
% 16.91/12.15 (v13(constB60) <=> v9(constB59)),
% 16.91/12.15 inference(unit_resolution,[status(thm)],[31874, 2218, 216])).
% 16.91/12.15 tff(31876,plain,
% 16.91/12.15 ((~![VarNext: $i] : (v6(VarNext) <=> v13(VarNext))) | (v6(constB60) <=> v13(constB60))),
% 16.91/12.15 inference(quant_inst,[status(thm)],[])).
% 16.91/12.15 tff(31877,plain,
% 16.91/12.15 (v6(constB60) <=> v13(constB60)),
% 16.91/12.15 inference(unit_resolution,[status(thm)],[31876, 230])).
% 16.91/12.15 tff(31878,plain,
% 16.91/12.15 ((~![VarCurr: $i] : ((~v21(VarCurr)) <=> v6(VarCurr))) | ((~v21(constB60)) <=> v6(constB60))),
% 16.91/12.15 inference(quant_inst,[status(thm)],[])).
% 16.91/12.15 tff(31879,plain,
% 16.91/12.15 ((~v21(constB60)) <=> v6(constB60)),
% 16.91/12.15 inference(unit_resolution,[status(thm)],[31878, 239])).
% 16.91/12.15 tff(31880,plain,
% 16.91/12.15 ((~![VarCurr: $i] : (v19(VarCurr) <=> (v20(VarCurr) | v21(VarCurr)))) | (v19(constB60) <=> (v20(constB60) | v21(constB60)))),
% 16.91/12.15 inference(quant_inst,[status(thm)],[])).
% 16.91/12.15 tff(31881,plain,
% 16.91/12.15 (v19(constB60) <=> (v20(constB60) | v21(constB60))),
% 16.91/12.15 inference(unit_resolution,[status(thm)],[31880, 248])).
% 16.91/12.15 tff(31882,plain,
% 16.91/12.15 ((~![VarCurr: $i] : (v18(VarCurr) <=> (~((~v19(VarCurr)) | (~v22(VarCurr)))))) | (v18(constB60) <=> (~((~v19(constB60)) | (~v22(constB60)))))),
% 16.91/12.15 inference(quant_inst,[status(thm)],[])).
% 16.91/12.15 tff(31883,plain,
% 16.91/12.15 (v18(constB60) <=> (~((~v19(constB60)) | (~v22(constB60))))),
% 16.91/12.15 inference(unit_resolution,[status(thm)],[31882, 260])).
% 16.91/12.15 tff(31884,plain,
% 16.91/12.15 ((~![VarCurr: $i] : ((~v4(VarCurr)) <=> v18(VarCurr))) | ((~v4(constB60)) <=> v18(constB60))),
% 16.91/12.15 inference(quant_inst,[status(thm)],[])).
% 16.91/12.15 tff(31885,plain,
% 16.91/12.15 ((~v4(constB60)) <=> v18(constB60)),
% 16.91/12.15 inference(unit_resolution,[status(thm)],[31884, 269])).
% 16.91/12.15 tff(31886,plain,
% 16.91/12.15 ((~![VarCurr: $i] : v4(VarCurr)) | v4(constB60)),
% 16.91/12.15 inference(quant_inst,[status(thm)],[])).
% 16.91/12.15 tff(31887,plain,
% 16.91/12.15 (v4(constB60)),
% 16.91/12.15 inference(unit_resolution,[status(thm)],[31886, 278])).
% 16.91/12.15 tff(31888,plain,
% 16.91/12.15 ((~((~v4(constB60)) <=> v18(constB60))) | (~v4(constB60)) | (~v18(constB60))),
% 16.91/12.15 inference(tautology,[status(thm)],[])).
% 16.91/12.15 tff(31889,plain,
% 16.91/12.15 (~v18(constB60)),
% 16.91/12.15 inference(unit_resolution,[status(thm)],[31888, 31887, 31885])).
% 16.91/12.15 tff(31890,plain,
% 16.91/12.15 ((~(v18(constB60) <=> (~((~v19(constB60)) | (~v22(constB60)))))) | v18(constB60) | ((~v19(constB60)) | (~v22(constB60)))),
% 16.91/12.15 inference(tautology,[status(thm)],[])).
% 16.91/12.15 tff(31891,plain,
% 16.91/12.15 ((~v19(constB60)) | (~v22(constB60))),
% 16.91/12.15 inference(unit_resolution,[status(thm)],[31890, 31889, 31883])).
% 16.91/12.15 tff(31892,plain,
% 16.91/12.15 ((~![VarCurr: $i] : (v22(VarCurr) <=> (v1(VarCurr) | v6(VarCurr)))) | (v22(constB60) <=> (v1(constB60) | v6(constB60)))),
% 16.91/12.15 inference(quant_inst,[status(thm)],[])).
% 16.91/12.15 tff(31893,plain,
% 16.91/12.15 (v22(constB60) <=> (v1(constB60) | v6(constB60))),
% 16.91/12.15 inference(unit_resolution,[status(thm)],[31892, 291])).
% 16.91/12.15 tff(31894,plain,
% 16.91/12.15 ((v1(constB60) | v6(constB60)) | (~v1(constB60))),
% 16.91/12.15 inference(tautology,[status(thm)],[])).
% 16.91/12.15 tff(31895,plain,
% 16.91/12.15 (v1(constB60) | v6(constB60)),
% 16.91/12.15 inference(unit_resolution,[status(thm)],[31894, 2248])).
% 16.91/12.15 tff(31896,plain,
% 16.91/12.15 ((~(v22(constB60) <=> (v1(constB60) | v6(constB60)))) | v22(constB60) | (~(v1(constB60) | v6(constB60)))),
% 16.91/12.15 inference(tautology,[status(thm)],[])).
% 16.91/12.15 tff(31897,plain,
% 16.91/12.15 ((~(v22(constB60) <=> (v1(constB60) | v6(constB60)))) | v22(constB60)),
% 16.91/12.15 inference(unit_resolution,[status(thm)],[31896, 31895])).
% 16.91/12.15 tff(31898,plain,
% 16.91/12.15 (v22(constB60)),
% 16.91/12.15 inference(unit_resolution,[status(thm)],[31897, 31893])).
% 16.91/12.15 tff(31899,plain,
% 16.91/12.15 ((~((~v19(constB60)) | (~v22(constB60)))) | (~v19(constB60)) | (~v22(constB60))),
% 16.91/12.15 inference(tautology,[status(thm)],[])).
% 16.91/12.15 tff(31900,plain,
% 16.91/12.15 ((~((~v19(constB60)) | (~v22(constB60)))) | (~v19(constB60))),
% 16.91/12.16 inference(unit_resolution,[status(thm)],[31899, 31898])).
% 16.91/12.16 tff(31901,plain,
% 16.91/12.16 (~v19(constB60)),
% 16.91/12.16 inference(unit_resolution,[status(thm)],[31900, 31891])).
% 16.91/12.16 tff(31902,plain,
% 16.91/12.16 ((~(v19(constB60) <=> (v20(constB60) | v21(constB60)))) | v19(constB60) | (~(v20(constB60) | v21(constB60)))),
% 16.91/12.16 inference(tautology,[status(thm)],[])).
% 16.91/12.16 tff(31903,plain,
% 16.91/12.16 (~(v20(constB60) | v21(constB60))),
% 16.91/12.16 inference(unit_resolution,[status(thm)],[31902, 31901, 31881])).
% 16.91/12.16 tff(31904,plain,
% 16.91/12.16 ((v20(constB60) | v21(constB60)) | (~v21(constB60))),
% 16.91/12.16 inference(tautology,[status(thm)],[])).
% 16.91/12.16 tff(31905,plain,
% 16.91/12.16 (~v21(constB60)),
% 16.91/12.16 inference(unit_resolution,[status(thm)],[31904, 31903])).
% 16.91/12.16 tff(31906,plain,
% 16.91/12.16 ((~((~v21(constB60)) <=> v6(constB60))) | v21(constB60) | v6(constB60)),
% 16.91/12.16 inference(tautology,[status(thm)],[])).
% 16.91/12.16 tff(31907,plain,
% 16.91/12.16 (v6(constB60)),
% 16.91/12.16 inference(unit_resolution,[status(thm)],[31906, 31905, 31879])).
% 16.91/12.16 tff(31908,plain,
% 16.91/12.16 ((~(v6(constB60) <=> v13(constB60))) | (~v6(constB60)) | v13(constB60)),
% 16.91/12.16 inference(tautology,[status(thm)],[])).
% 16.91/12.16 tff(31909,plain,
% 16.91/12.16 (v13(constB60)),
% 16.91/12.16 inference(unit_resolution,[status(thm)],[31908, 31907, 31877])).
% 16.91/12.16 tff(31910,plain,
% 16.91/12.16 ((~(v13(constB60) <=> v9(constB59))) | (~v13(constB60)) | v9(constB59)),
% 16.91/12.16 inference(tautology,[status(thm)],[])).
% 16.91/12.16 tff(31911,plain,
% 16.91/12.16 (v9(constB59)),
% 16.91/12.16 inference(unit_resolution,[status(thm)],[31910, 31909, 31875])).
% 16.91/12.16 tff(31912,plain,
% 16.91/12.16 ((~![VarCurr: $i] : ((~v39(VarCurr)) <=> v1(VarCurr))) | ((~v39(constB59)) <=> v1(constB59))),
% 16.91/12.16 inference(quant_inst,[status(thm)],[])).
% 16.91/12.16 tff(31913,plain,
% 16.91/12.16 ((~v39(constB59)) <=> v1(constB59)),
% 16.91/12.16 inference(unit_resolution,[status(thm)],[31912, 129])).
% 16.91/12.16 tff(31914,plain,
% 16.91/12.16 ((~((~v39(constB59)) <=> v1(constB59))) | v39(constB59) | v1(constB59)),
% 16.91/12.16 inference(tautology,[status(thm)],[])).
% 16.91/12.16 tff(31915,plain,
% 16.91/12.16 ((~((~v39(constB59)) <=> v1(constB59))) | v39(constB59)),
% 16.91/12.16 inference(unit_resolution,[status(thm)],[31914, 2240])).
% 16.91/12.16 tff(31916,plain,
% 16.91/12.16 (v39(constB59)),
% 16.91/12.16 inference(unit_resolution,[status(thm)],[31915, 31913])).
% 16.91/12.16 tff(31917,plain,
% 16.91/12.16 ((~((~v39(constB59)) | (~v9(constB59)))) | (~v39(constB59)) | (~v9(constB59))),
% 16.91/12.16 inference(tautology,[status(thm)],[])).
% 16.91/12.16 tff(31918,plain,
% 16.91/12.16 ((~((~v39(constB59)) | (~v9(constB59)))) | (~v9(constB59))),
% 16.91/12.16 inference(unit_resolution,[status(thm)],[31917, 31916])).
% 16.91/12.16 tff(31919,plain,
% 16.91/12.16 (~((~v39(constB59)) | (~v9(constB59)))),
% 16.91/12.16 inference(unit_resolution,[status(thm)],[31918, 31911])).
% 16.91/12.16 tff(31920,plain,
% 16.91/12.16 ((~(v197(constB59) <=> (~((~v39(constB59)) | (~v9(constB59)))))) | v197(constB59) | ((~v39(constB59)) | (~v9(constB59)))),
% 16.91/12.16 inference(tautology,[status(thm)],[])).
% 16.91/12.16 tff(31921,plain,
% 16.91/12.16 (v197(constB59)),
% 16.91/12.16 inference(unit_resolution,[status(thm)],[31920, 31919, 31871])).
% 16.91/12.16 tff(31922,plain,
% 16.91/12.16 ((v197(constB59) | v26(constB59)) | (~v197(constB59))),
% 16.91/12.16 inference(tautology,[status(thm)],[])).
% 16.91/12.16 tff(31923,plain,
% 16.91/12.16 (v197(constB59) | v26(constB59)),
% 16.91/12.16 inference(unit_resolution,[status(thm)],[31922, 31921])).
% 16.91/12.16 tff(31924,plain,
% 16.91/12.16 ((~(v196(constB59) <=> (v197(constB59) | v26(constB59)))) | v196(constB59) | (~(v197(constB59) | v26(constB59)))),
% 16.91/12.16 inference(tautology,[status(thm)],[])).
% 16.91/12.16 tff(31925,plain,
% 16.91/12.16 (v196(constB59)),
% 16.91/12.16 inference(unit_resolution,[status(thm)],[31924, 31923, 31869])).
% 16.91/12.16 tff(31926,plain,
% 16.91/12.16 ((~((~v195(constB59)) <=> v196(constB59))) | (~v195(constB59)) | (~v196(constB59))),
% 16.91/12.16 inference(tautology,[status(thm)],[])).
% 16.91/12.16 tff(31927,plain,
% 16.91/12.16 (~v195(constB59)),
% 16.91/12.16 inference(unit_resolution,[status(thm)],[31926, 31925, 31867])).
% 16.91/12.16 tff(31928,plain,
% 16.91/12.16 (((~v157(constB59)) | (~v195(constB59))) | v195(constB59)),
% 16.91/12.16 inference(tautology,[status(thm)],[])).
% 16.91/12.16 tff(31929,plain,
% 16.91/12.16 ((~v157(constB59)) | (~v195(constB59))),
% 16.91/12.16 inference(unit_resolution,[status(thm)],[31928, 31927])).
% 16.91/12.16 tff(31930,plain,
% 16.91/12.16 ((~(v194(constB59) <=> (~((~v157(constB59)) | (~v195(constB59)))))) | (~v194(constB59)) | (~((~v157(constB59)) | (~v195(constB59))))),
% 16.91/12.16 inference(tautology,[status(thm)],[])).
% 16.91/12.16 tff(31931,plain,
% 16.91/12.16 (~v194(constB59)),
% 16.91/12.16 inference(unit_resolution,[status(thm)],[31930, 31929, 31865])).
% 16.91/12.16 tff(31932,plain,
% 16.91/12.16 ((~![VarCurr: $i] : (v198(VarCurr) <=> (~((~v199(VarCurr)) | (~v200(VarCurr)))))) | (v198(constB59) <=> (~((~v199(constB59)) | (~v200(constB59)))))),
% 16.91/12.16 inference(quant_inst,[status(thm)],[])).
% 16.91/12.16 tff(31933,plain,
% 16.91/12.16 (v198(constB59) <=> (~((~v199(constB59)) | (~v200(constB59))))),
% 16.91/12.16 inference(unit_resolution,[status(thm)],[31932, 96])).
% 16.91/12.16 tff(31934,plain,
% 16.91/12.16 ((~![VarCurr: $i] : (v200(VarCurr) <=> (~((~v197(VarCurr)) | (~v201(VarCurr)))))) | (v200(constB59) <=> (~((~v197(constB59)) | (~v201(constB59)))))),
% 16.91/12.16 inference(quant_inst,[status(thm)],[])).
% 16.91/12.16 tff(31935,plain,
% 16.91/12.16 (v200(constB59) <=> (~((~v197(constB59)) | (~v201(constB59))))),
% 16.91/12.16 inference(unit_resolution,[status(thm)],[31934, 108])).
% 16.91/12.16 tff(31936,plain,
% 16.91/12.16 ((~![VarCurr: $i] : (v201(VarCurr) <=> (~((~v159(VarCurr)) | (~v161(VarCurr)))))) | (v201(constB59) <=> (~((~v159(constB59)) | (~v161(constB59)))))),
% 16.91/12.16 inference(quant_inst,[status(thm)],[])).
% 16.91/12.16 tff(31937,plain,
% 16.91/12.16 (v201(constB59) <=> (~((~v159(constB59)) | (~v161(constB59))))),
% 16.91/12.16 inference(unit_resolution,[status(thm)],[31936, 348])).
% 16.91/12.16 tff(31938,plain,
% 16.91/12.16 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v179(VarNext) <=> v180(VarNext)))) | ((~nextState(constB58, constB59)) | (v179(constB59) <=> v180(constB59)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v179(VarNext) <=> v180(VarNext)))) | (~nextState(constB58, constB59)) | (v179(constB59) <=> v180(constB59)))),
% 16.91/12.16 inference(rewrite,[status(thm)],[])).
% 16.91/12.16 tff(31939,plain,
% 16.91/12.16 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v179(VarNext) <=> v180(VarNext)))) | ((~nextState(constB58, constB59)) | (v179(constB59) <=> v180(constB59)))),
% 16.91/12.16 inference(quant_inst,[status(thm)],[])).
% 16.91/12.16 tff(31940,plain,
% 16.91/12.16 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v179(VarNext) <=> v180(VarNext)))) | (~nextState(constB58, constB59)) | (v179(constB59) <=> v180(constB59))),
% 16.91/12.16 inference(modus_ponens,[status(thm)],[31939, 31938])).
% 16.91/12.16 tff(31941,plain,
% 16.91/12.16 (v179(constB59) <=> v180(constB59)),
% 16.91/12.16 inference(unit_resolution,[status(thm)],[31940, 2281, 13536])).
% 16.91/12.16 tff(31942,plain,
% 16.91/12.16 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> (~((~v181(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB58, constB59)) | (v180(constB59) <=> (~((~v1(constB59)) | (~v181(constB59))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> (~((~v181(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB58, constB59)) | (v180(constB59) <=> (~((~v1(constB59)) | (~v181(constB59))))))),
% 16.91/12.16 inference(rewrite,[status(thm)],[])).
% 16.91/12.16 tff(31943,plain,
% 16.91/12.16 (((~nextState(constB58, constB59)) | (v180(constB59) <=> (~((~v181(constB59)) | (~v1(constB59)))))) <=> ((~nextState(constB58, constB59)) | (v180(constB59) <=> (~((~v1(constB59)) | (~v181(constB59))))))),
% 16.91/12.16 inference(rewrite,[status(thm)],[])).
% 16.91/12.16 tff(31944,plain,
% 16.91/12.16 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> (~((~v181(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB58, constB59)) | (v180(constB59) <=> (~((~v181(constB59)) | (~v1(constB59))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> (~((~v181(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB58, constB59)) | (v180(constB59) <=> (~((~v1(constB59)) | (~v181(constB59)))))))),
% 16.91/12.16 inference(monotonicity,[status(thm)],[31943])).
% 16.91/12.16 tff(31945,plain,
% 16.91/12.16 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> (~((~v181(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB58, constB59)) | (v180(constB59) <=> (~((~v181(constB59)) | (~v1(constB59))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> (~((~v181(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB58, constB59)) | (v180(constB59) <=> (~((~v1(constB59)) | (~v181(constB59))))))),
% 16.91/12.16 inference(transitivity,[status(thm)],[31944, 31942])).
% 16.91/12.16 tff(31946,plain,
% 16.91/12.16 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> (~((~v181(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB58, constB59)) | (v180(constB59) <=> (~((~v181(constB59)) | (~v1(constB59))))))),
% 16.91/12.16 inference(quant_inst,[status(thm)],[])).
% 16.91/12.16 tff(31947,plain,
% 16.91/12.16 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> (~((~v181(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB58, constB59)) | (v180(constB59) <=> (~((~v1(constB59)) | (~v181(constB59)))))),
% 16.91/12.16 inference(modus_ponens,[status(thm)],[31946, 31945])).
% 16.91/12.16 tff(31948,plain,
% 16.91/12.16 (v180(constB59) <=> (~((~v1(constB59)) | (~v181(constB59))))),
% 16.91/12.16 inference(unit_resolution,[status(thm)],[31947, 2281, 13556])).
% 16.91/12.16 tff(31949,plain,
% 16.91/12.16 (((~v1(constB59)) | (~v181(constB59))) | v1(constB59)),
% 16.91/12.16 inference(tautology,[status(thm)],[])).
% 16.91/12.16 tff(31950,plain,
% 16.91/12.16 ((~v1(constB59)) | (~v181(constB59))),
% 16.91/12.16 inference(unit_resolution,[status(thm)],[31949, 2240])).
% 16.91/12.16 tff(31951,plain,
% 16.91/12.16 ((~(v180(constB59) <=> (~((~v1(constB59)) | (~v181(constB59)))))) | (~v180(constB59)) | (~((~v1(constB59)) | (~v181(constB59))))),
% 16.91/12.16 inference(tautology,[status(thm)],[])).
% 16.91/12.16 tff(31952,plain,
% 16.91/12.16 ((~(v180(constB59) <=> (~((~v1(constB59)) | (~v181(constB59)))))) | (~v180(constB59))),
% 16.91/12.16 inference(unit_resolution,[status(thm)],[31951, 31950])).
% 16.91/12.16 tff(31953,plain,
% 16.91/12.16 (~v180(constB59)),
% 16.91/12.16 inference(unit_resolution,[status(thm)],[31952, 31948])).
% 16.91/12.16 tff(31954,plain,
% 16.91/12.16 ((~(v179(constB59) <=> v180(constB59))) | (~v179(constB59)) | v180(constB59)),
% 16.91/12.16 inference(tautology,[status(thm)],[])).
% 16.91/12.16 tff(31955,plain,
% 16.91/12.16 (~v179(constB59)),
% 16.91/12.16 inference(unit_resolution,[status(thm)],[31954, 31953, 31941])).
% 16.91/12.16 tff(31956,plain,
% 16.91/12.16 (((~![VarCurr: $i, VarNext: $i] : ((v159(VarNext) <=> v159(VarCurr)) | v179(VarNext) | (~nextState(VarCurr, VarNext)))) | ((~nextState(constB58, constB59)) | v179(constB59) | (v159(constB59) <=> v159(constB58)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((v159(VarNext) <=> v159(VarCurr)) | v179(VarNext) | (~nextState(VarCurr, VarNext)))) | (~nextState(constB58, constB59)) | v179(constB59) | (v159(constB59) <=> v159(constB58)))),
% 16.91/12.16 inference(rewrite,[status(thm)],[])).
% 16.91/12.16 tff(31957,plain,
% 16.91/12.16 (((v159(constB59) <=> v159(constB58)) | v179(constB59) | (~nextState(constB58, constB59))) <=> ((~nextState(constB58, constB59)) | v179(constB59) | (v159(constB59) <=> v159(constB58)))),
% 16.91/12.16 inference(rewrite,[status(thm)],[])).
% 16.91/12.16 tff(31958,plain,
% 16.91/12.16 (((~![VarCurr: $i, VarNext: $i] : ((v159(VarNext) <=> v159(VarCurr)) | v179(VarNext) | (~nextState(VarCurr, VarNext)))) | ((v159(constB59) <=> v159(constB58)) | v179(constB59) | (~nextState(constB58, constB59)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((v159(VarNext) <=> v159(VarCurr)) | v179(VarNext) | (~nextState(VarCurr, VarNext)))) | ((~nextState(constB58, constB59)) | v179(constB59) | (v159(constB59) <=> v159(constB58))))),
% 16.91/12.16 inference(monotonicity,[status(thm)],[31957])).
% 16.91/12.16 tff(31959,plain,
% 16.91/12.16 (((~![VarCurr: $i, VarNext: $i] : ((v159(VarNext) <=> v159(VarCurr)) | v179(VarNext) | (~nextState(VarCurr, VarNext)))) | ((v159(constB59) <=> v159(constB58)) | v179(constB59) | (~nextState(constB58, constB59)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((v159(VarNext) <=> v159(VarCurr)) | v179(VarNext) | (~nextState(VarCurr, VarNext)))) | (~nextState(constB58, constB59)) | v179(constB59) | (v159(constB59) <=> v159(constB58)))),
% 16.91/12.16 inference(transitivity,[status(thm)],[31958, 31956])).
% 16.91/12.16 tff(31960,plain,
% 16.91/12.16 ((~![VarCurr: $i, VarNext: $i] : ((v159(VarNext) <=> v159(VarCurr)) | v179(VarNext) | (~nextState(VarCurr, VarNext)))) | ((v159(constB59) <=> v159(constB58)) | v179(constB59) | (~nextState(constB58, constB59)))),
% 16.91/12.16 inference(quant_inst,[status(thm)],[])).
% 16.91/12.16 tff(31961,plain,
% 16.91/12.16 ((~![VarCurr: $i, VarNext: $i] : ((v159(VarNext) <=> v159(VarCurr)) | v179(VarNext) | (~nextState(VarCurr, VarNext)))) | (~nextState(constB58, constB59)) | v179(constB59) | (v159(constB59) <=> v159(constB58))),
% 16.91/12.16 inference(modus_ponens,[status(thm)],[31960, 31959])).
% 16.91/12.16 tff(31962,plain,
% 16.91/12.16 (v179(constB59) | (v159(constB59) <=> v159(constB58))),
% 16.91/12.16 inference(unit_resolution,[status(thm)],[31961, 2281, 13580])).
% 16.91/12.16 tff(31963,plain,
% 16.91/12.16 (v159(constB59) <=> v159(constB58)),
% 16.91/12.16 inference(unit_resolution,[status(thm)],[31962, 31955])).
% 16.91/12.16 tff(31964,plain,
% 16.91/12.16 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v179(VarNext) <=> v180(VarNext)))) | ((~nextState(constB57, constB58)) | (v179(constB58) <=> v180(constB58)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v179(VarNext) <=> v180(VarNext)))) | (~nextState(constB57, constB58)) | (v179(constB58) <=> v180(constB58)))),
% 16.91/12.16 inference(rewrite,[status(thm)],[])).
% 16.91/12.16 tff(31965,plain,
% 16.91/12.16 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v179(VarNext) <=> v180(VarNext)))) | ((~nextState(constB57, constB58)) | (v179(constB58) <=> v180(constB58)))),
% 16.91/12.16 inference(quant_inst,[status(thm)],[])).
% 16.91/12.16 tff(31966,plain,
% 16.91/12.16 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v179(VarNext) <=> v180(VarNext)))) | (~nextState(constB57, constB58)) | (v179(constB58) <=> v180(constB58))),
% 16.91/12.16 inference(modus_ponens,[status(thm)],[31965, 31964])).
% 16.91/12.16 tff(31967,plain,
% 16.91/12.16 (v179(constB58) <=> v180(constB58)),
% 16.91/12.16 inference(unit_resolution,[status(thm)],[31966, 2313, 13536])).
% 16.91/12.16 tff(31968,plain,
% 16.91/12.16 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> (~((~v181(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB57, constB58)) | (v180(constB58) <=> (~((~v1(constB58)) | (~v181(constB58))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> (~((~v181(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB57, constB58)) | (v180(constB58) <=> (~((~v1(constB58)) | (~v181(constB58))))))),
% 16.91/12.16 inference(rewrite,[status(thm)],[])).
% 16.91/12.16 tff(31969,plain,
% 16.91/12.16 (((~nextState(constB57, constB58)) | (v180(constB58) <=> (~((~v181(constB58)) | (~v1(constB58)))))) <=> ((~nextState(constB57, constB58)) | (v180(constB58) <=> (~((~v1(constB58)) | (~v181(constB58))))))),
% 16.91/12.16 inference(rewrite,[status(thm)],[])).
% 16.91/12.16 tff(31970,plain,
% 16.91/12.16 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> (~((~v181(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB57, constB58)) | (v180(constB58) <=> (~((~v181(constB58)) | (~v1(constB58))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> (~((~v181(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB57, constB58)) | (v180(constB58) <=> (~((~v1(constB58)) | (~v181(constB58)))))))),
% 16.91/12.16 inference(monotonicity,[status(thm)],[31969])).
% 16.91/12.16 tff(31971,plain,
% 16.91/12.16 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> (~((~v181(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB57, constB58)) | (v180(constB58) <=> (~((~v181(constB58)) | (~v1(constB58))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> (~((~v181(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB57, constB58)) | (v180(constB58) <=> (~((~v1(constB58)) | (~v181(constB58))))))),
% 16.91/12.16 inference(transitivity,[status(thm)],[31970, 31968])).
% 16.91/12.16 tff(31972,plain,
% 16.91/12.16 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> (~((~v181(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB57, constB58)) | (v180(constB58) <=> (~((~v181(constB58)) | (~v1(constB58))))))),
% 16.91/12.16 inference(quant_inst,[status(thm)],[])).
% 16.91/12.16 tff(31973,plain,
% 16.91/12.16 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> (~((~v181(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB57, constB58)) | (v180(constB58) <=> (~((~v1(constB58)) | (~v181(constB58)))))),
% 16.91/12.16 inference(modus_ponens,[status(thm)],[31972, 31971])).
% 16.91/12.16 tff(31974,plain,
% 16.91/12.16 (v180(constB58) <=> (~((~v1(constB58)) | (~v181(constB58))))),
% 16.91/12.16 inference(unit_resolution,[status(thm)],[31973, 2313, 13556])).
% 16.91/12.16 tff(31975,plain,
% 16.91/12.16 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v181(VarNext)) <=> v104(VarNext)))) | ((~nextState(constB57, constB58)) | ((~v181(constB58)) <=> v104(constB58)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v181(VarNext)) <=> v104(VarNext)))) | (~nextState(constB57, constB58)) | ((~v181(constB58)) <=> v104(constB58)))),
% 16.91/12.16 inference(rewrite,[status(thm)],[])).
% 16.91/12.16 tff(31976,plain,
% 16.91/12.16 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v181(VarNext)) <=> v104(VarNext)))) | ((~nextState(constB57, constB58)) | ((~v181(constB58)) <=> v104(constB58)))),
% 16.91/12.16 inference(quant_inst,[status(thm)],[])).
% 16.91/12.16 tff(31977,plain,
% 16.91/12.16 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v181(VarNext)) <=> v104(VarNext)))) | (~nextState(constB57, constB58)) | ((~v181(constB58)) <=> v104(constB58))),
% 16.91/12.16 inference(modus_ponens,[status(thm)],[31976, 31975])).
% 16.91/12.16 tff(31978,plain,
% 16.91/12.16 ((~v181(constB58)) <=> v104(constB58)),
% 16.91/12.16 inference(unit_resolution,[status(thm)],[31977, 2313, 13612])).
% 16.91/12.16 tff(31979,plain,
% 16.91/12.16 ((~((~v181(constB58)) <=> v104(constB58))) | v181(constB58) | v104(constB58)),
% 16.91/12.16 inference(tautology,[status(thm)],[])).
% 16.91/12.16 tff(31980,plain,
% 16.91/12.16 (v181(constB58)),
% 16.91/12.16 inference(unit_resolution,[status(thm)],[31979, 2338, 31978])).
% 16.91/12.16 tff(31981,plain,
% 16.91/12.16 ((~((~v1(constB58)) | (~v181(constB58)))) | (~v1(constB58)) | (~v181(constB58))),
% 16.91/12.16 inference(tautology,[status(thm)],[])).
% 16.91/12.16 tff(31982,plain,
% 16.91/12.16 ((~((~v1(constB58)) | (~v181(constB58)))) | (~v181(constB58))),
% 16.91/12.16 inference(unit_resolution,[status(thm)],[31981, 2343])).
% 16.91/12.16 tff(31983,plain,
% 16.91/12.16 (~((~v1(constB58)) | (~v181(constB58)))),
% 16.91/12.16 inference(unit_resolution,[status(thm)],[31982, 31980])).
% 16.91/12.16 tff(31984,plain,
% 16.91/12.16 ((~(v180(constB58) <=> (~((~v1(constB58)) | (~v181(constB58)))))) | v180(constB58) | ((~v1(constB58)) | (~v181(constB58)))),
% 16.91/12.16 inference(tautology,[status(thm)],[])).
% 16.91/12.16 tff(31985,plain,
% 16.91/12.16 (v180(constB58)),
% 16.91/12.16 inference(unit_resolution,[status(thm)],[31984, 31983, 31974])).
% 16.91/12.16 tff(31986,plain,
% 16.91/12.16 ((~(v179(constB58) <=> v180(constB58))) | v179(constB58) | (~v180(constB58))),
% 16.91/12.16 inference(tautology,[status(thm)],[])).
% 16.91/12.16 tff(31987,plain,
% 16.91/12.16 (v179(constB58)),
% 16.91/12.16 inference(unit_resolution,[status(thm)],[31986, 31985, 31967])).
% 16.91/12.16 tff(31988,plain,
% 16.91/12.16 (((~![VarNext: $i] : ((~v179(VarNext)) | (v159(VarNext) <=> v186(VarNext)))) | ((~v179(constB58)) | (v159(constB58) <=> v186(constB58)))) <=> ((~![VarNext: $i] : ((~v179(VarNext)) | (v159(VarNext) <=> v186(VarNext)))) | (~v179(constB58)) | (v159(constB58) <=> v186(constB58)))),
% 16.91/12.16 inference(rewrite,[status(thm)],[])).
% 16.91/12.16 tff(31989,plain,
% 16.91/12.16 ((~![VarNext: $i] : ((~v179(VarNext)) | (v159(VarNext) <=> v186(VarNext)))) | ((~v179(constB58)) | (v159(constB58) <=> v186(constB58)))),
% 16.91/12.16 inference(quant_inst,[status(thm)],[])).
% 16.91/12.16 tff(31990,plain,
% 16.91/12.16 ((~![VarNext: $i] : ((~v179(VarNext)) | (v159(VarNext) <=> v186(VarNext)))) | (~v179(constB58)) | (v159(constB58) <=> v186(constB58))),
% 16.91/12.16 inference(modus_ponens,[status(thm)],[31989, 31988])).
% 16.91/12.16 tff(31991,plain,
% 16.91/12.16 (v159(constB58) <=> v186(constB58)),
% 16.91/12.16 inference(unit_resolution,[status(thm)],[31990, 13648, 31987])).
% 16.91/12.16 tff(31992,plain,
% 16.91/12.16 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v186(VarNext) <=> v161(VarCurr)))) | ((~nextState(constB57, constB58)) | (v186(constB58) <=> v161(constB57)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v186(VarNext) <=> v161(VarCurr)))) | (~nextState(constB57, constB58)) | (v186(constB58) <=> v161(constB57)))),
% 16.91/12.16 inference(rewrite,[status(thm)],[])).
% 16.91/12.16 tff(31993,plain,
% 16.91/12.16 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v186(VarNext) <=> v161(VarCurr)))) | ((~nextState(constB57, constB58)) | (v186(constB58) <=> v161(constB57)))),
% 16.91/12.16 inference(quant_inst,[status(thm)],[])).
% 16.91/12.16 tff(31994,plain,
% 16.91/12.16 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v186(VarNext) <=> v161(VarCurr)))) | (~nextState(constB57, constB58)) | (v186(constB58) <=> v161(constB57))),
% 16.91/12.16 inference(modus_ponens,[status(thm)],[31993, 31992])).
% 16.91/12.16 tff(31995,plain,
% 16.91/12.16 (v186(constB58) <=> v161(constB57)),
% 16.91/12.16 inference(unit_resolution,[status(thm)],[31994, 2313, 13662])).
% 16.91/12.16 tff(31996,plain,
% 16.91/12.16 ((~![VarCurr: $i] : (v161(VarCurr) <=> v163(VarCurr))) | (v161(constB57) <=> v163(constB57))),
% 16.91/12.17 inference(quant_inst,[status(thm)],[])).
% 16.91/12.17 tff(31997,plain,
% 16.91/12.17 (v161(constB57) <=> v163(constB57)),
% 16.91/12.17 inference(unit_resolution,[status(thm)],[31996, 357])).
% 16.91/12.17 tff(31998,plain,
% 16.91/12.17 ((~![VarCurr: $i] : (v171(VarCurr) <=> (v142(VarCurr) | v150(VarCurr)))) | (v171(constB57) <=> (v142(constB57) | v150(constB57)))),
% 16.91/12.17 inference(quant_inst,[status(thm)],[])).
% 16.91/12.17 tff(31999,plain,
% 16.91/12.17 (v171(constB57) <=> (v142(constB57) | v150(constB57))),
% 16.91/12.17 inference(unit_resolution,[status(thm)],[31998, 369])).
% 16.91/12.17 tff(32000,plain,
% 16.91/12.17 ((~![VarCurr: $i] : (v150(VarCurr) <=> (v141(VarCurr) | v151(VarCurr)))) | (v150(constB57) <=> (v141(constB57) | v151(constB57)))),
% 16.91/12.17 inference(quant_inst,[status(thm)],[])).
% 16.91/12.17 tff(32001,plain,
% 16.91/12.17 (v150(constB57) <=> (v141(constB57) | v151(constB57))),
% 16.91/12.17 inference(unit_resolution,[status(thm)],[32000, 13680])).
% 16.91/12.17 tff(32002,plain,
% 16.91/12.17 ((~![VarCurr: $i] : (v151(VarCurr) <=> (v139(VarCurr) | v140(VarCurr)))) | (v151(constB57) <=> (v139(constB57) | v140(constB57)))),
% 16.91/12.17 inference(quant_inst,[status(thm)],[])).
% 16.91/12.17 tff(32003,plain,
% 16.91/12.17 (v151(constB57) <=> (v139(constB57) | v140(constB57))),
% 16.91/12.17 inference(unit_resolution,[status(thm)],[32002, 13689])).
% 16.91/12.17 tff(32004,plain,
% 16.91/12.17 (((~![VarCurr: $i] : (v140(VarCurr) <=> (~(v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex0)))))) | (v140(constB57) <=> (~(v88(constB57, bitIndex2) | v88(constB57, bitIndex1) | (~v88(constB57, bitIndex0)))))) <=> ((~![VarCurr: $i] : (v140(VarCurr) <=> (~(v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex0)))))) | (v140(constB57) <=> (~(v88(constB57, bitIndex2) | v88(constB57, bitIndex1) | (~v88(constB57, bitIndex0))))))),
% 16.91/12.17 inference(rewrite,[status(thm)],[])).
% 16.91/12.17 tff(32005,plain,
% 16.91/12.17 ((v140(constB57) <=> (~(v88(constB57, bitIndex1) | v88(constB57, bitIndex2) | (~v88(constB57, bitIndex0))))) <=> (v140(constB57) <=> (~(v88(constB57, bitIndex2) | v88(constB57, bitIndex1) | (~v88(constB57, bitIndex0)))))),
% 16.91/12.17 inference(rewrite,[status(thm)],[])).
% 16.91/12.17 tff(32006,plain,
% 16.91/12.17 (((~![VarCurr: $i] : (v140(VarCurr) <=> (~(v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex0)))))) | (v140(constB57) <=> (~(v88(constB57, bitIndex1) | v88(constB57, bitIndex2) | (~v88(constB57, bitIndex0)))))) <=> ((~![VarCurr: $i] : (v140(VarCurr) <=> (~(v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex0)))))) | (v140(constB57) <=> (~(v88(constB57, bitIndex2) | v88(constB57, bitIndex1) | (~v88(constB57, bitIndex0))))))),
% 16.91/12.17 inference(monotonicity,[status(thm)],[32005])).
% 16.91/12.17 tff(32007,plain,
% 16.91/12.17 (((~![VarCurr: $i] : (v140(VarCurr) <=> (~(v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex0)))))) | (v140(constB57) <=> (~(v88(constB57, bitIndex1) | v88(constB57, bitIndex2) | (~v88(constB57, bitIndex0)))))) <=> ((~![VarCurr: $i] : (v140(VarCurr) <=> (~(v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex0)))))) | (v140(constB57) <=> (~(v88(constB57, bitIndex2) | v88(constB57, bitIndex1) | (~v88(constB57, bitIndex0))))))),
% 16.91/12.17 inference(transitivity,[status(thm)],[32006, 32004])).
% 16.91/12.17 tff(32008,plain,
% 16.91/12.17 ((~![VarCurr: $i] : (v140(VarCurr) <=> (~(v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex0)))))) | (v140(constB57) <=> (~(v88(constB57, bitIndex1) | v88(constB57, bitIndex2) | (~v88(constB57, bitIndex0)))))),
% 16.91/12.17 inference(quant_inst,[status(thm)],[])).
% 16.91/12.17 tff(32009,plain,
% 16.91/12.17 ((~![VarCurr: $i] : (v140(VarCurr) <=> (~(v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex0)))))) | (v140(constB57) <=> (~(v88(constB57, bitIndex2) | v88(constB57, bitIndex1) | (~v88(constB57, bitIndex0)))))),
% 16.91/12.17 inference(modus_ponens,[status(thm)],[32008, 32007])).
% 16.91/12.17 tff(32010,plain,
% 16.91/12.17 (v140(constB57) <=> (~(v88(constB57, bitIndex2) | v88(constB57, bitIndex1) | (~v88(constB57, bitIndex0))))),
% 16.91/12.17 inference(unit_resolution,[status(thm)],[32009, 13704])).
% 16.91/12.17 tff(32011,plain,
% 16.91/12.17 (((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | ((~less_3(bitIndex2)) | (v88(constB57, bitIndex2) <=> v90(constB57, bitIndex2)))) <=> ((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | (~less_3(bitIndex2)) | (v88(constB57, bitIndex2) <=> v90(constB57, bitIndex2)))),
% 16.91/12.17 inference(rewrite,[status(thm)],[])).
% 16.91/12.17 tff(32012,plain,
% 16.91/12.17 ((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | ((~less_3(bitIndex2)) | (v88(constB57, bitIndex2) <=> v90(constB57, bitIndex2)))),
% 16.91/12.17 inference(quant_inst,[status(thm)],[])).
% 16.91/12.17 tff(32013,plain,
% 16.91/12.17 ((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | (~less_3(bitIndex2)) | (v88(constB57, bitIndex2) <=> v90(constB57, bitIndex2))),
% 16.91/12.17 inference(modus_ponens,[status(thm)],[32012, 32011])).
% 16.91/12.17 tff(32014,plain,
% 16.91/12.17 (v88(constB57, bitIndex2) <=> v90(constB57, bitIndex2)),
% 16.91/12.17 inference(unit_resolution,[status(thm)],[32013, 413, 410])).
% 16.91/12.17 tff(32015,plain,
% 16.91/12.17 ((~(v88(constB57, bitIndex2) <=> v90(constB57, bitIndex2))) | (~v88(constB57, bitIndex2)) | v90(constB57, bitIndex2)),
% 16.91/12.17 inference(tautology,[status(thm)],[])).
% 16.91/12.17 tff(32016,plain,
% 16.91/12.17 (~v88(constB57, bitIndex2)),
% 16.91/12.17 inference(unit_resolution,[status(thm)],[32015, 9849, 32014])).
% 16.91/12.17 tff(32017,plain,
% 16.91/12.17 (((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | ((~less_3(bitIndex0)) | (v88(constB57, bitIndex0) <=> v90(constB57, bitIndex0)))) <=> ((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | (~less_3(bitIndex0)) | (v88(constB57, bitIndex0) <=> v90(constB57, bitIndex0)))),
% 16.91/12.17 inference(rewrite,[status(thm)],[])).
% 16.91/12.17 tff(32018,plain,
% 16.91/12.17 ((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | ((~less_3(bitIndex0)) | (v88(constB57, bitIndex0) <=> v90(constB57, bitIndex0)))),
% 16.91/12.17 inference(quant_inst,[status(thm)],[])).
% 16.91/12.17 tff(32019,plain,
% 16.91/12.17 ((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | (~less_3(bitIndex0)) | (v88(constB57, bitIndex0) <=> v90(constB57, bitIndex0))),
% 16.91/12.17 inference(modus_ponens,[status(thm)],[32018, 32017])).
% 16.91/12.17 tff(32020,plain,
% 16.91/12.17 (v88(constB57, bitIndex0) <=> v90(constB57, bitIndex0)),
% 16.91/12.17 inference(unit_resolution,[status(thm)],[32019, 5004, 410])).
% 16.91/12.17 tff(32021,plain,
% 16.91/12.17 ((~(v88(constB57, bitIndex0) <=> v90(constB57, bitIndex0))) | v88(constB57, bitIndex0) | (~v90(constB57, bitIndex0))),
% 16.91/12.17 inference(tautology,[status(thm)],[])).
% 16.91/12.17 tff(32022,plain,
% 16.91/12.17 (v88(constB57, bitIndex0)),
% 16.91/12.17 inference(unit_resolution,[status(thm)],[32021, 9880, 32020])).
% 16.91/12.17 tff(32023,plain,
% 16.91/12.17 (((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | ((~less_3(bitIndex1)) | (v88(constB57, bitIndex1) <=> v90(constB57, bitIndex1)))) <=> ((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | (~less_3(bitIndex1)) | (v88(constB57, bitIndex1) <=> v90(constB57, bitIndex1)))),
% 16.91/12.17 inference(rewrite,[status(thm)],[])).
% 16.91/12.17 tff(32024,plain,
% 16.91/12.17 ((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | ((~less_3(bitIndex1)) | (v88(constB57, bitIndex1) <=> v90(constB57, bitIndex1)))),
% 16.91/12.17 inference(quant_inst,[status(thm)],[])).
% 16.91/12.17 tff(32025,plain,
% 16.91/12.17 ((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | (~less_3(bitIndex1)) | (v88(constB57, bitIndex1) <=> v90(constB57, bitIndex1))),
% 16.91/12.17 inference(modus_ponens,[status(thm)],[32024, 32023])).
% 16.91/12.17 tff(32026,plain,
% 16.91/12.17 (v88(constB57, bitIndex1) <=> v90(constB57, bitIndex1)),
% 16.91/12.17 inference(unit_resolution,[status(thm)],[32025, 5017, 410])).
% 16.91/12.17 tff(32027,plain,
% 16.91/12.17 ((~(v88(constB57, bitIndex1) <=> v90(constB57, bitIndex1))) | (~v88(constB57, bitIndex1)) | v90(constB57, bitIndex1)),
% 16.91/12.17 inference(tautology,[status(thm)],[])).
% 16.91/12.17 tff(32028,plain,
% 16.91/12.17 (~v88(constB57, bitIndex1)),
% 16.91/12.17 inference(unit_resolution,[status(thm)],[32027, 9911, 32026])).
% 16.91/12.17 tff(32029,plain,
% 16.91/12.17 ((~(v88(constB57, bitIndex2) | v88(constB57, bitIndex1) | (~v88(constB57, bitIndex0)))) | v88(constB57, bitIndex2) | v88(constB57, bitIndex1) | (~v88(constB57, bitIndex0))),
% 16.91/12.17 inference(tautology,[status(thm)],[])).
% 16.91/12.17 tff(32030,plain,
% 16.91/12.17 (~(v88(constB57, bitIndex2) | v88(constB57, bitIndex1) | (~v88(constB57, bitIndex0)))),
% 16.91/12.17 inference(unit_resolution,[status(thm)],[32029, 32028, 32022, 32016])).
% 16.91/12.17 tff(32031,plain,
% 16.91/12.17 ((~(v140(constB57) <=> (~(v88(constB57, bitIndex2) | v88(constB57, bitIndex1) | (~v88(constB57, bitIndex0)))))) | v140(constB57) | (v88(constB57, bitIndex2) | v88(constB57, bitIndex1) | (~v88(constB57, bitIndex0)))),
% 16.91/12.17 inference(tautology,[status(thm)],[])).
% 16.91/12.17 tff(32032,plain,
% 16.91/12.17 (v140(constB57)),
% 16.91/12.17 inference(unit_resolution,[status(thm)],[32031, 32030, 32010])).
% 16.91/12.17 tff(32033,plain,
% 16.91/12.17 ((v139(constB57) | v140(constB57)) | (~v140(constB57))),
% 16.91/12.17 inference(tautology,[status(thm)],[])).
% 16.91/12.17 tff(32034,plain,
% 16.91/12.17 (v139(constB57) | v140(constB57)),
% 16.91/12.17 inference(unit_resolution,[status(thm)],[32033, 32032])).
% 16.91/12.17 tff(32035,plain,
% 16.91/12.17 ((~(v151(constB57) <=> (v139(constB57) | v140(constB57)))) | v151(constB57) | (~(v139(constB57) | v140(constB57)))),
% 16.91/12.17 inference(tautology,[status(thm)],[])).
% 16.91/12.17 tff(32036,plain,
% 16.91/12.17 (v151(constB57)),
% 16.91/12.17 inference(unit_resolution,[status(thm)],[32035, 32034, 32003])).
% 16.91/12.17 tff(32037,plain,
% 16.91/12.17 ((v141(constB57) | v151(constB57)) | (~v151(constB57))),
% 16.91/12.17 inference(tautology,[status(thm)],[])).
% 16.91/12.17 tff(32038,plain,
% 16.91/12.17 (v141(constB57) | v151(constB57)),
% 16.91/12.17 inference(unit_resolution,[status(thm)],[32037, 32036])).
% 16.91/12.17 tff(32039,plain,
% 16.91/12.17 ((~(v150(constB57) <=> (v141(constB57) | v151(constB57)))) | v150(constB57) | (~(v141(constB57) | v151(constB57)))),
% 16.91/12.17 inference(tautology,[status(thm)],[])).
% 16.91/12.17 tff(32040,plain,
% 16.91/12.17 (v150(constB57)),
% 16.91/12.17 inference(unit_resolution,[status(thm)],[32039, 32038, 32001])).
% 16.91/12.17 tff(32041,plain,
% 16.91/12.17 ((v142(constB57) | v150(constB57)) | (~v150(constB57))),
% 16.91/12.17 inference(tautology,[status(thm)],[])).
% 16.91/12.17 tff(32042,plain,
% 16.91/12.17 (v142(constB57) | v150(constB57)),
% 16.91/12.17 inference(unit_resolution,[status(thm)],[32041, 32040])).
% 16.91/12.17 tff(32043,plain,
% 16.91/12.17 ((~(v171(constB57) <=> (v142(constB57) | v150(constB57)))) | v171(constB57) | (~(v142(constB57) | v150(constB57)))),
% 16.91/12.17 inference(tautology,[status(thm)],[])).
% 16.91/12.17 tff(32044,plain,
% 16.91/12.17 (v171(constB57)),
% 16.91/12.17 inference(unit_resolution,[status(thm)],[32043, 32042, 31999])).
% 16.91/12.17 tff(32045,plain,
% 16.91/12.17 (((~![VarCurr: $i] : ((~v171(VarCurr)) | (~v170(VarCurr)))) | ((~v170(constB57)) | (~v171(constB57)))) <=> ((~![VarCurr: $i] : ((~v171(VarCurr)) | (~v170(VarCurr)))) | (~v170(constB57)) | (~v171(constB57)))),
% 16.91/12.17 inference(rewrite,[status(thm)],[])).
% 16.91/12.17 tff(32046,plain,
% 16.91/12.17 (((~v171(constB57)) | (~v170(constB57))) <=> ((~v170(constB57)) | (~v171(constB57)))),
% 16.91/12.17 inference(rewrite,[status(thm)],[])).
% 16.91/12.17 tff(32047,plain,
% 16.91/12.17 (((~![VarCurr: $i] : ((~v171(VarCurr)) | (~v170(VarCurr)))) | ((~v171(constB57)) | (~v170(constB57)))) <=> ((~![VarCurr: $i] : ((~v171(VarCurr)) | (~v170(VarCurr)))) | ((~v170(constB57)) | (~v171(constB57))))),
% 16.91/12.17 inference(monotonicity,[status(thm)],[32046])).
% 16.91/12.17 tff(32048,plain,
% 16.91/12.17 (((~![VarCurr: $i] : ((~v171(VarCurr)) | (~v170(VarCurr)))) | ((~v171(constB57)) | (~v170(constB57)))) <=> ((~![VarCurr: $i] : ((~v171(VarCurr)) | (~v170(VarCurr)))) | (~v170(constB57)) | (~v171(constB57)))),
% 16.91/12.17 inference(transitivity,[status(thm)],[32047, 32045])).
% 16.91/12.17 tff(32049,plain,
% 16.91/12.17 ((~![VarCurr: $i] : ((~v171(VarCurr)) | (~v170(VarCurr)))) | ((~v171(constB57)) | (~v170(constB57)))),
% 16.91/12.17 inference(quant_inst,[status(thm)],[])).
% 16.91/12.17 tff(32050,plain,
% 16.91/12.17 ((~![VarCurr: $i] : ((~v171(VarCurr)) | (~v170(VarCurr)))) | (~v170(constB57)) | (~v171(constB57))),
% 16.91/12.17 inference(modus_ponens,[status(thm)],[32049, 32048])).
% 16.91/12.17 tff(32051,plain,
% 16.91/12.17 ((~v170(constB57)) | (~v171(constB57))),
% 16.91/12.17 inference(unit_resolution,[status(thm)],[32050, 13061])).
% 16.91/12.17 tff(32052,plain,
% 16.91/12.17 (~v170(constB57)),
% 16.91/12.17 inference(unit_resolution,[status(thm)],[32051, 32044])).
% 16.91/12.17 tff(32053,plain,
% 16.91/12.17 ((~![VarCurr: $i] : (v166(VarCurr) <=> (v145(VarCurr) | v167(VarCurr)))) | (v166(constB57) <=> (v145(constB57) | v167(constB57)))),
% 16.91/12.17 inference(quant_inst,[status(thm)],[])).
% 16.91/12.17 tff(32054,plain,
% 16.91/12.17 (v166(constB57) <=> (v145(constB57) | v167(constB57))),
% 16.91/12.17 inference(unit_resolution,[status(thm)],[32053, 13079])).
% 16.91/12.17 tff(32055,plain,
% 16.91/12.17 ((~![VarCurr: $i] : (v167(VarCurr) <=> (v142(VarCurr) | v168(VarCurr)))) | (v167(constB57) <=> (v142(constB57) | v168(constB57)))),
% 16.91/12.17 inference(quant_inst,[status(thm)],[])).
% 16.91/12.17 tff(32056,plain,
% 16.91/12.17 (v167(constB57) <=> (v142(constB57) | v168(constB57))),
% 16.91/12.17 inference(unit_resolution,[status(thm)],[32055, 13091])).
% 16.91/12.17 tff(32057,plain,
% 16.91/12.17 ((~![VarCurr: $i] : (v168(VarCurr) <=> (v141(VarCurr) | v169(VarCurr)))) | (v168(constB57) <=> (v141(constB57) | v169(constB57)))),
% 16.91/12.17 inference(quant_inst,[status(thm)],[])).
% 16.91/12.17 tff(32058,plain,
% 16.91/12.17 (v168(constB57) <=> (v141(constB57) | v169(constB57))),
% 16.91/12.17 inference(unit_resolution,[status(thm)],[32057, 20513])).
% 16.91/12.17 tff(32059,plain,
% 16.91/12.17 ((~![VarCurr: $i] : (v169(VarCurr) <=> (v139(VarCurr) | v140(VarCurr)))) | (v169(constB57) <=> (v139(constB57) | v140(constB57)))),
% 16.91/12.17 inference(quant_inst,[status(thm)],[])).
% 16.91/12.17 tff(32060,plain,
% 16.91/12.17 (v169(constB57) <=> (v139(constB57) | v140(constB57))),
% 16.91/12.17 inference(unit_resolution,[status(thm)],[32059, 20522])).
% 16.91/12.17 tff(32061,plain,
% 16.91/12.17 ((~(v169(constB57) <=> (v139(constB57) | v140(constB57)))) | v169(constB57) | (~(v139(constB57) | v140(constB57)))),
% 16.91/12.17 inference(tautology,[status(thm)],[])).
% 16.91/12.17 tff(32062,plain,
% 16.91/12.17 (v169(constB57)),
% 16.91/12.17 inference(unit_resolution,[status(thm)],[32061, 32034, 32060])).
% 16.91/12.17 tff(32063,plain,
% 16.91/12.17 ((v141(constB57) | v169(constB57)) | (~v169(constB57))),
% 16.91/12.17 inference(tautology,[status(thm)],[])).
% 16.91/12.17 tff(32064,plain,
% 16.91/12.17 (v141(constB57) | v169(constB57)),
% 16.91/12.17 inference(unit_resolution,[status(thm)],[32063, 32062])).
% 16.91/12.17 tff(32065,plain,
% 16.91/12.17 ((~(v168(constB57) <=> (v141(constB57) | v169(constB57)))) | v168(constB57) | (~(v141(constB57) | v169(constB57)))),
% 16.91/12.17 inference(tautology,[status(thm)],[])).
% 16.91/12.17 tff(32066,plain,
% 16.91/12.17 (v168(constB57)),
% 16.91/12.17 inference(unit_resolution,[status(thm)],[32065, 32064, 32058])).
% 16.91/12.17 tff(32067,plain,
% 16.91/12.17 ((v142(constB57) | v168(constB57)) | (~v168(constB57))),
% 16.91/12.17 inference(tautology,[status(thm)],[])).
% 16.91/12.17 tff(32068,plain,
% 16.91/12.17 (v142(constB57) | v168(constB57)),
% 16.91/12.17 inference(unit_resolution,[status(thm)],[32067, 32066])).
% 16.91/12.17 tff(32069,plain,
% 16.91/12.17 ((~(v167(constB57) <=> (v142(constB57) | v168(constB57)))) | v167(constB57) | (~(v142(constB57) | v168(constB57)))),
% 16.91/12.17 inference(tautology,[status(thm)],[])).
% 16.91/12.17 tff(32070,plain,
% 16.91/12.17 (v167(constB57)),
% 16.91/12.17 inference(unit_resolution,[status(thm)],[32069, 32068, 32056])).
% 16.91/12.17 tff(32071,plain,
% 16.91/12.17 ((v145(constB57) | v167(constB57)) | (~v167(constB57))),
% 16.91/12.17 inference(tautology,[status(thm)],[])).
% 16.91/12.17 tff(32072,plain,
% 16.91/12.17 (v145(constB57) | v167(constB57)),
% 16.91/12.17 inference(unit_resolution,[status(thm)],[32071, 32070])).
% 16.91/12.17 tff(32073,plain,
% 16.91/12.17 ((~(v166(constB57) <=> (v145(constB57) | v167(constB57)))) | v166(constB57) | (~(v145(constB57) | v167(constB57)))),
% 16.91/12.17 inference(tautology,[status(thm)],[])).
% 16.91/12.17 tff(32074,plain,
% 16.91/12.17 (v166(constB57)),
% 16.91/12.17 inference(unit_resolution,[status(thm)],[32073, 32072, 32054])).
% 16.91/12.17 tff(32075,plain,
% 16.91/12.17 (((~![VarNext: $i] : ((~v166(VarNext)) | (v163(VarNext) <=> v170(VarNext)))) | ((~v166(constB57)) | (v163(constB57) <=> v170(constB57)))) <=> ((~![VarNext: $i] : ((~v166(VarNext)) | (v163(VarNext) <=> v170(VarNext)))) | (~v166(constB57)) | (v163(constB57) <=> v170(constB57)))),
% 16.91/12.17 inference(rewrite,[status(thm)],[])).
% 16.91/12.17 tff(32076,plain,
% 16.91/12.17 ((~![VarNext: $i] : ((~v166(VarNext)) | (v163(VarNext) <=> v170(VarNext)))) | ((~v166(constB57)) | (v163(constB57) <=> v170(constB57)))),
% 16.91/12.17 inference(quant_inst,[status(thm)],[])).
% 16.91/12.17 tff(32077,plain,
% 16.91/12.17 ((~![VarNext: $i] : ((~v166(VarNext)) | (v163(VarNext) <=> v170(VarNext)))) | (~v166(constB57)) | (v163(constB57) <=> v170(constB57))),
% 16.91/12.17 inference(modus_ponens,[status(thm)],[32076, 32075])).
% 16.91/12.17 tff(32078,plain,
% 16.91/12.17 ((~v166(constB57)) | (v163(constB57) <=> v170(constB57))),
% 16.91/12.17 inference(unit_resolution,[status(thm)],[32077, 13111])).
% 16.91/12.17 tff(32079,plain,
% 16.91/12.17 (v163(constB57) <=> v170(constB57)),
% 16.91/12.17 inference(unit_resolution,[status(thm)],[32078, 32074])).
% 16.91/12.17 tff(32080,plain,
% 16.91/12.17 ((~(v163(constB57) <=> v170(constB57))) | (~v163(constB57)) | v170(constB57)),
% 16.91/12.17 inference(tautology,[status(thm)],[])).
% 16.91/12.17 tff(32081,plain,
% 16.91/12.17 (~v163(constB57)),
% 16.91/12.18 inference(unit_resolution,[status(thm)],[32080, 32079, 32052])).
% 16.91/12.18 tff(32082,plain,
% 16.91/12.18 ((~(v161(constB57) <=> v163(constB57))) | (~v161(constB57)) | v163(constB57)),
% 16.91/12.18 inference(tautology,[status(thm)],[])).
% 16.91/12.18 tff(32083,plain,
% 16.91/12.18 (~v161(constB57)),
% 16.91/12.18 inference(unit_resolution,[status(thm)],[32082, 32081, 31997])).
% 16.91/12.18 tff(32084,plain,
% 16.91/12.18 ((~(v186(constB58) <=> v161(constB57))) | (~v186(constB58)) | v161(constB57)),
% 16.91/12.18 inference(tautology,[status(thm)],[])).
% 16.91/12.18 tff(32085,plain,
% 16.91/12.18 (~v186(constB58)),
% 16.91/12.18 inference(unit_resolution,[status(thm)],[32084, 32083, 31995])).
% 16.91/12.18 tff(32086,plain,
% 16.91/12.18 ((~(v159(constB58) <=> v186(constB58))) | (~v159(constB58)) | v186(constB58)),
% 16.91/12.18 inference(tautology,[status(thm)],[])).
% 16.91/12.18 tff(32087,plain,
% 16.91/12.18 (~v159(constB58)),
% 16.91/12.18 inference(unit_resolution,[status(thm)],[32086, 32085, 31991])).
% 16.91/12.18 tff(32088,plain,
% 16.91/12.18 ((~(v159(constB59) <=> v159(constB58))) | (~v159(constB59)) | v159(constB58)),
% 16.91/12.18 inference(tautology,[status(thm)],[])).
% 16.91/12.18 tff(32089,plain,
% 16.91/12.18 (~v159(constB59)),
% 16.91/12.18 inference(unit_resolution,[status(thm)],[32088, 32087, 31963])).
% 16.91/12.18 tff(32090,plain,
% 16.91/12.18 (((~v159(constB59)) | (~v161(constB59))) | v159(constB59)),
% 16.91/12.18 inference(tautology,[status(thm)],[])).
% 16.91/12.18 tff(32091,plain,
% 16.91/12.18 ((~v159(constB59)) | (~v161(constB59))),
% 16.91/12.18 inference(unit_resolution,[status(thm)],[32090, 32089])).
% 16.91/12.18 tff(32092,plain,
% 16.91/12.18 ((~(v201(constB59) <=> (~((~v159(constB59)) | (~v161(constB59)))))) | (~v201(constB59)) | (~((~v159(constB59)) | (~v161(constB59))))),
% 16.91/12.18 inference(tautology,[status(thm)],[])).
% 16.91/12.18 tff(32093,plain,
% 16.91/12.18 (~v201(constB59)),
% 16.91/12.18 inference(unit_resolution,[status(thm)],[32092, 32091, 31937])).
% 16.91/12.18 tff(32094,plain,
% 16.91/12.18 (((~v197(constB59)) | (~v201(constB59))) | v201(constB59)),
% 16.91/12.18 inference(tautology,[status(thm)],[])).
% 16.91/12.18 tff(32095,plain,
% 16.91/12.18 ((~v197(constB59)) | (~v201(constB59))),
% 16.91/12.18 inference(unit_resolution,[status(thm)],[32094, 32093])).
% 16.91/12.18 tff(32096,plain,
% 16.91/12.18 ((~(v200(constB59) <=> (~((~v197(constB59)) | (~v201(constB59)))))) | (~v200(constB59)) | (~((~v197(constB59)) | (~v201(constB59))))),
% 16.91/12.18 inference(tautology,[status(thm)],[])).
% 16.91/12.18 tff(32097,plain,
% 16.91/12.18 (~v200(constB59)),
% 16.91/12.18 inference(unit_resolution,[status(thm)],[32096, 32095, 31935])).
% 16.91/12.18 tff(32098,plain,
% 16.91/12.18 (((~v199(constB59)) | (~v200(constB59))) | v200(constB59)),
% 16.91/12.18 inference(tautology,[status(thm)],[])).
% 16.91/12.18 tff(32099,plain,
% 16.91/12.18 ((~v199(constB59)) | (~v200(constB59))),
% 16.91/12.18 inference(unit_resolution,[status(thm)],[32098, 32097])).
% 16.91/12.18 tff(32100,plain,
% 16.91/12.18 ((~(v198(constB59) <=> (~((~v199(constB59)) | (~v200(constB59)))))) | (~v198(constB59)) | (~((~v199(constB59)) | (~v200(constB59))))),
% 16.91/12.18 inference(tautology,[status(thm)],[])).
% 16.91/12.18 tff(32101,plain,
% 16.91/12.18 (~v198(constB59)),
% 16.91/12.18 inference(unit_resolution,[status(thm)],[32100, 32099, 31933])).
% 16.91/12.18 tff(32102,plain,
% 16.91/12.18 ((~(v194(constB59) | v198(constB59))) | v194(constB59) | v198(constB59)),
% 16.91/12.18 inference(tautology,[status(thm)],[])).
% 16.91/12.18 tff(32103,plain,
% 16.91/12.18 (~(v194(constB59) | v198(constB59))),
% 16.91/12.18 inference(unit_resolution,[status(thm)],[32102, 32101, 31931])).
% 16.91/12.18 tff(32104,plain,
% 16.91/12.18 ((~(v191(constB59) <=> (v194(constB59) | v198(constB59)))) | (~v191(constB59)) | (v194(constB59) | v198(constB59))),
% 16.91/12.18 inference(tautology,[status(thm)],[])).
% 16.91/12.18 tff(32105,plain,
% 16.91/12.18 (~v191(constB59)),
% 16.91/12.18 inference(unit_resolution,[status(thm)],[32104, 32103, 31858])).
% 16.91/12.18 tff(32106,plain,
% 16.91/12.18 ((~(v193(constB60) <=> v191(constB59))) | (~v193(constB60)) | v191(constB59)),
% 16.91/12.18 inference(tautology,[status(thm)],[])).
% 16.91/12.18 tff(32107,plain,
% 16.91/12.18 (~v193(constB60)),
% 16.91/12.18 inference(unit_resolution,[status(thm)],[32106, 32105, 31856])).
% 16.91/12.18 tff(32108,plain,
% 16.91/12.18 ((~(v157(constB60) <=> v193(constB60))) | (~v157(constB60)) | v193(constB60)),
% 16.91/12.18 inference(tautology,[status(thm)],[])).
% 16.91/12.18 tff(32109,plain,
% 16.91/12.18 (~v157(constB60)),
% 16.91/12.18 inference(unit_resolution,[status(thm)],[32108, 32107, 31852])).
% 16.91/12.18 tff(32110,plain,
% 16.91/12.18 (((~v157(constB60)) | (~v195(constB60))) | v157(constB60)),
% 16.91/12.18 inference(tautology,[status(thm)],[])).
% 16.91/12.18 tff(32111,plain,
% 16.91/12.18 ((~v157(constB60)) | (~v195(constB60))),
% 16.91/12.18 inference(unit_resolution,[status(thm)],[32110, 32109])).
% 16.91/12.18 tff(32112,plain,
% 16.91/12.18 ((~(v194(constB60) <=> (~((~v157(constB60)) | (~v195(constB60)))))) | (~v194(constB60)) | (~((~v157(constB60)) | (~v195(constB60))))),
% 16.91/12.18 inference(tautology,[status(thm)],[])).
% 16.91/12.18 tff(32113,plain,
% 16.91/12.18 (~v194(constB60)),
% 16.91/12.18 inference(unit_resolution,[status(thm)],[32112, 32111, 31850])).
% 16.91/12.18 tff(32114,plain,
% 16.91/12.18 ((~(v194(constB60) | v198(constB60))) | v194(constB60) | v198(constB60)),
% 16.91/12.18 inference(tautology,[status(thm)],[])).
% 16.91/12.18 tff(32115,plain,
% 16.91/12.18 (~(v194(constB60) | v198(constB60))),
% 16.91/12.18 inference(unit_resolution,[status(thm)],[32114, 32113, 31843])).
% 16.91/12.18 tff(32116,plain,
% 16.91/12.18 ((~(v191(constB60) <=> (v194(constB60) | v198(constB60)))) | (~v191(constB60)) | (v194(constB60) | v198(constB60))),
% 16.91/12.18 inference(tautology,[status(thm)],[])).
% 16.91/12.18 tff(32117,plain,
% 16.91/12.18 (~v191(constB60)),
% 16.91/12.18 inference(unit_resolution,[status(thm)],[32116, 32115, 31818])).
% 16.91/12.18 tff(32118,plain,
% 16.91/12.18 ((~(v193(constB61) <=> v191(constB60))) | (~v193(constB61)) | v191(constB60)),
% 16.91/12.18 inference(tautology,[status(thm)],[])).
% 16.91/12.18 tff(32119,plain,
% 16.91/12.18 (~v193(constB61)),
% 16.91/12.18 inference(unit_resolution,[status(thm)],[32118, 32117, 31816])).
% 16.91/12.18 tff(32120,plain,
% 16.91/12.18 ($false),
% 16.91/12.18 inference(unit_resolution,[status(thm)],[32119, 31812])).
% 16.91/12.18 tff(32121,plain,(~(constB61 = VarCurr!0)), inference(lemma,lemma(discharge,[]))).
% 16.91/12.18 tff(32122,assumption,(constB165 = VarCurr!0), introduced(assumption)).
% 16.91/12.18 tff(32123,plain,
% 16.91/12.18 (v86(constB165) <=> v86(VarCurr!0)),
% 16.91/12.18 inference(monotonicity,[status(thm)],[32122])).
% 16.91/12.18 tff(32124,plain,
% 16.91/12.18 (v86(VarCurr!0) <=> v86(constB165)),
% 16.91/12.18 inference(symmetry,[status(thm)],[32123])).
% 16.91/12.18 tff(32125,plain,
% 16.91/12.18 ((~v86(VarCurr!0)) <=> (~v86(constB165))),
% 16.91/12.18 inference(monotonicity,[status(thm)],[32124])).
% 16.91/12.18 tff(32126,plain,
% 16.91/12.18 (~v86(constB165)),
% 16.91/12.18 inference(modus_ponens,[status(thm)],[20649, 32125])).
% 16.91/12.18 tff(32127,plain,
% 16.91/12.18 (((~![VarCurr: $i] : (v148(VarCurr) | (~v142(VarCurr)))) | (v148(constB165) | (~v142(constB165)))) <=> ((~![VarCurr: $i] : (v148(VarCurr) | (~v142(VarCurr)))) | v148(constB165) | (~v142(constB165)))),
% 16.91/12.18 inference(rewrite,[status(thm)],[])).
% 16.91/12.18 tff(32128,plain,
% 16.91/12.18 ((~![VarCurr: $i] : (v148(VarCurr) | (~v142(VarCurr)))) | (v148(constB165) | (~v142(constB165)))),
% 16.91/12.18 inference(quant_inst,[status(thm)],[])).
% 16.91/12.18 tff(32129,plain,
% 16.91/12.18 ((~![VarCurr: $i] : (v148(VarCurr) | (~v142(VarCurr)))) | v148(constB165) | (~v142(constB165))),
% 16.91/12.18 inference(modus_ponens,[status(thm)],[32128, 32127])).
% 16.91/12.18 tff(32130,plain,
% 16.91/12.18 (v148(constB165) | (~v142(constB165))),
% 16.91/12.18 inference(unit_resolution,[status(thm)],[32129, 23525])).
% 16.91/12.18 tff(32131,plain,
% 16.91/12.18 (v148(constB165)),
% 16.91/12.18 inference(unit_resolution,[status(thm)],[32130, 23743])).
% 16.91/12.18 tff(32132,plain,
% 16.91/12.18 ((~![VarCurr: $i] : (v135(VarCurr) <=> (v136(VarCurr) | v145(VarCurr)))) | (v135(constB165) <=> (v136(constB165) | v145(constB165)))),
% 16.91/12.18 inference(quant_inst,[status(thm)],[])).
% 16.91/12.18 tff(32133,plain,
% 16.91/12.18 (v135(constB165) <=> (v136(constB165) | v145(constB165))),
% 16.91/12.18 inference(unit_resolution,[status(thm)],[32132, 23537])).
% 16.91/12.18 tff(32134,plain,
% 16.91/12.18 ((~![VarCurr: $i] : (v136(VarCurr) <=> (v137(VarCurr) | v142(VarCurr)))) | (v136(constB165) <=> (v137(constB165) | v142(constB165)))),
% 16.91/12.18 inference(quant_inst,[status(thm)],[])).
% 16.91/12.18 tff(32135,plain,
% 16.91/12.18 (v136(constB165) <=> (v137(constB165) | v142(constB165))),
% 16.91/12.18 inference(unit_resolution,[status(thm)],[32134, 23546])).
% 16.91/12.18 tff(32136,plain,
% 16.91/12.18 ((v137(constB165) | v142(constB165)) | (~v142(constB165))),
% 16.91/12.18 inference(tautology,[status(thm)],[])).
% 16.91/12.18 tff(32137,plain,
% 16.91/12.18 (v137(constB165) | v142(constB165)),
% 16.91/12.18 inference(unit_resolution,[status(thm)],[32136, 23743])).
% 16.91/12.18 tff(32138,plain,
% 16.91/12.18 ((~(v136(constB165) <=> (v137(constB165) | v142(constB165)))) | v136(constB165) | (~(v137(constB165) | v142(constB165)))),
% 16.91/12.18 inference(tautology,[status(thm)],[])).
% 16.91/12.18 tff(32139,plain,
% 16.91/12.18 (v136(constB165)),
% 16.91/12.18 inference(unit_resolution,[status(thm)],[32138, 32137, 32135])).
% 16.91/12.18 tff(32140,plain,
% 16.91/12.18 ((v136(constB165) | v145(constB165)) | (~v136(constB165))),
% 16.91/12.18 inference(tautology,[status(thm)],[])).
% 16.91/12.18 tff(32141,plain,
% 16.91/12.18 (v136(constB165) | v145(constB165)),
% 16.91/12.18 inference(unit_resolution,[status(thm)],[32140, 32139])).
% 16.91/12.18 tff(32142,plain,
% 16.91/12.18 ((~(v135(constB165) <=> (v136(constB165) | v145(constB165)))) | v135(constB165) | (~(v136(constB165) | v145(constB165)))),
% 16.91/12.18 inference(tautology,[status(thm)],[])).
% 16.91/12.18 tff(32143,plain,
% 16.91/12.18 (v135(constB165)),
% 16.91/12.18 inference(unit_resolution,[status(thm)],[32142, 32141, 32133])).
% 16.91/12.18 tff(32144,plain,
% 16.91/12.18 (((~![VarNext: $i] : ((~v135(VarNext)) | (v86(VarNext) <=> v148(VarNext)))) | ((~v135(constB165)) | (v86(constB165) <=> v148(constB165)))) <=> ((~![VarNext: $i] : ((~v135(VarNext)) | (v86(VarNext) <=> v148(VarNext)))) | (~v135(constB165)) | (v86(constB165) <=> v148(constB165)))),
% 16.91/12.18 inference(rewrite,[status(thm)],[])).
% 16.91/12.18 tff(32145,plain,
% 16.91/12.18 ((~![VarNext: $i] : ((~v135(VarNext)) | (v86(VarNext) <=> v148(VarNext)))) | ((~v135(constB165)) | (v86(constB165) <=> v148(constB165)))),
% 16.91/12.18 inference(quant_inst,[status(thm)],[])).
% 16.91/12.18 tff(32146,plain,
% 16.91/12.18 ((~![VarNext: $i] : ((~v135(VarNext)) | (v86(VarNext) <=> v148(VarNext)))) | (~v135(constB165)) | (v86(constB165) <=> v148(constB165))),
% 16.91/12.18 inference(modus_ponens,[status(thm)],[32145, 32144])).
% 16.91/12.18 tff(32147,plain,
% 16.91/12.18 ((~v135(constB165)) | (v86(constB165) <=> v148(constB165))),
% 16.91/12.18 inference(unit_resolution,[status(thm)],[32146, 23566])).
% 16.91/12.18 tff(32148,plain,
% 16.91/12.18 (v86(constB165) <=> v148(constB165)),
% 16.91/12.18 inference(unit_resolution,[status(thm)],[32147, 32143])).
% 16.91/12.18 tff(32149,plain,
% 16.91/12.18 ((~(v86(constB165) <=> v148(constB165))) | v86(constB165) | (~v148(constB165))),
% 16.91/12.18 inference(tautology,[status(thm)],[])).
% 16.91/12.18 tff(32150,plain,
% 16.91/12.18 (v86(constB165)),
% 16.91/12.18 inference(unit_resolution,[status(thm)],[32149, 32148, 32131])).
% 16.91/12.18 tff(32151,plain,
% 16.91/12.18 ($false),
% 16.91/12.18 inference(unit_resolution,[status(thm)],[32150, 32126])).
% 16.91/12.18 tff(32152,plain,(~(constB165 = VarCurr!0)), inference(lemma,lemma(discharge,[]))).
% 16.91/12.18 tff(32153,assumption,(constB109 = VarCurr!0), introduced(assumption)).
% 16.91/12.18 tff(32154,plain,
% 16.91/12.18 (v86(constB109) <=> v86(VarCurr!0)),
% 16.91/12.18 inference(monotonicity,[status(thm)],[32153])).
% 16.91/12.18 tff(32155,plain,
% 16.91/12.18 (v86(VarCurr!0) <=> v86(constB109)),
% 16.91/12.18 inference(symmetry,[status(thm)],[32154])).
% 16.91/12.18 tff(32156,plain,
% 16.91/12.18 ((~v86(VarCurr!0)) <=> (~v86(constB109))),
% 16.91/12.18 inference(monotonicity,[status(thm)],[32155])).
% 16.91/12.18 tff(32157,plain,
% 16.91/12.18 (~v86(constB109)),
% 16.91/12.18 inference(modus_ponens,[status(thm)],[20649, 32156])).
% 16.91/12.18 tff(32158,plain,
% 16.91/12.18 ((~![VarCurr: $i] : (v142(VarCurr) <=> (v143(VarCurr) | v144(VarCurr)))) | (v142(constB109) <=> (v143(constB109) | v144(constB109)))),
% 16.91/12.18 inference(quant_inst,[status(thm)],[])).
% 16.91/12.18 tff(32159,plain,
% 16.91/12.18 (v142(constB109) <=> (v143(constB109) | v144(constB109))),
% 16.91/12.18 inference(unit_resolution,[status(thm)],[32158, 378])).
% 16.91/12.18 tff(32160,plain,
% 16.91/12.18 (((~![VarCurr: $i] : (v143(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)))))) | (v143(constB109) <=> (~(v88(constB109, bitIndex2) | (~v88(constB109, bitIndex1)) | v88(constB109, bitIndex0))))) <=> ((~![VarCurr: $i] : (v143(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)))))) | (v143(constB109) <=> (~(v88(constB109, bitIndex2) | (~v88(constB109, bitIndex1)) | v88(constB109, bitIndex0)))))),
% 16.91/12.18 inference(rewrite,[status(thm)],[])).
% 16.91/12.18 tff(32161,plain,
% 16.91/12.18 ((v143(constB109) <=> (~(v88(constB109, bitIndex0) | v88(constB109, bitIndex2) | (~v88(constB109, bitIndex1))))) <=> (v143(constB109) <=> (~(v88(constB109, bitIndex2) | (~v88(constB109, bitIndex1)) | v88(constB109, bitIndex0))))),
% 16.91/12.18 inference(rewrite,[status(thm)],[])).
% 16.91/12.18 tff(32162,plain,
% 16.91/12.18 (((~![VarCurr: $i] : (v143(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)))))) | (v143(constB109) <=> (~(v88(constB109, bitIndex0) | v88(constB109, bitIndex2) | (~v88(constB109, bitIndex1)))))) <=> ((~![VarCurr: $i] : (v143(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)))))) | (v143(constB109) <=> (~(v88(constB109, bitIndex2) | (~v88(constB109, bitIndex1)) | v88(constB109, bitIndex0)))))),
% 16.91/12.18 inference(monotonicity,[status(thm)],[32161])).
% 16.91/12.18 tff(32163,plain,
% 16.91/12.18 (((~![VarCurr: $i] : (v143(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)))))) | (v143(constB109) <=> (~(v88(constB109, bitIndex0) | v88(constB109, bitIndex2) | (~v88(constB109, bitIndex1)))))) <=> ((~![VarCurr: $i] : (v143(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)))))) | (v143(constB109) <=> (~(v88(constB109, bitIndex2) | (~v88(constB109, bitIndex1)) | v88(constB109, bitIndex0)))))),
% 16.91/12.18 inference(transitivity,[status(thm)],[32162, 32160])).
% 16.91/12.18 tff(32164,plain,
% 16.91/12.18 ((~![VarCurr: $i] : (v143(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)))))) | (v143(constB109) <=> (~(v88(constB109, bitIndex0) | v88(constB109, bitIndex2) | (~v88(constB109, bitIndex1)))))),
% 16.91/12.18 inference(quant_inst,[status(thm)],[])).
% 16.91/12.18 tff(32165,plain,
% 16.91/12.18 ((~![VarCurr: $i] : (v143(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)))))) | (v143(constB109) <=> (~(v88(constB109, bitIndex2) | (~v88(constB109, bitIndex1)) | v88(constB109, bitIndex0))))),
% 16.91/12.18 inference(modus_ponens,[status(thm)],[32164, 32163])).
% 16.91/12.18 tff(32166,plain,
% 16.91/12.18 (v143(constB109) <=> (~(v88(constB109, bitIndex2) | (~v88(constB109, bitIndex1)) | v88(constB109, bitIndex0)))),
% 16.91/12.18 inference(unit_resolution,[status(thm)],[32165, 20665])).
% 16.91/12.18 tff(32167,plain,
% 16.91/12.18 (((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | ((~less_3(bitIndex2)) | (v88(constB109, bitIndex2) <=> v90(constB109, bitIndex2)))) <=> ((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | (~less_3(bitIndex2)) | (v88(constB109, bitIndex2) <=> v90(constB109, bitIndex2)))),
% 16.91/12.18 inference(rewrite,[status(thm)],[])).
% 16.91/12.18 tff(32168,plain,
% 16.91/12.18 ((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | ((~less_3(bitIndex2)) | (v88(constB109, bitIndex2) <=> v90(constB109, bitIndex2)))),
% 16.91/12.18 inference(quant_inst,[status(thm)],[])).
% 16.91/12.18 tff(32169,plain,
% 16.91/12.18 ((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | (~less_3(bitIndex2)) | (v88(constB109, bitIndex2) <=> v90(constB109, bitIndex2))),
% 16.91/12.18 inference(modus_ponens,[status(thm)],[32168, 32167])).
% 16.91/12.18 tff(32170,plain,
% 16.91/12.18 (v88(constB109, bitIndex2) <=> v90(constB109, bitIndex2)),
% 16.91/12.18 inference(unit_resolution,[status(thm)],[32169, 413, 410])).
% 16.91/12.18 tff(32171,plain,
% 16.91/12.18 ((~(v88(constB109, bitIndex2) <=> v90(constB109, bitIndex2))) | (~v88(constB109, bitIndex2)) | v90(constB109, bitIndex2)),
% 16.91/12.18 inference(tautology,[status(thm)],[])).
% 16.91/12.18 tff(32172,plain,
% 16.91/12.18 (~v88(constB109, bitIndex2)),
% 16.91/12.18 inference(unit_resolution,[status(thm)],[32171, 17241, 32170])).
% 16.91/12.18 tff(32173,plain,
% 16.91/12.18 (((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | ((~less_3(bitIndex0)) | (v88(constB109, bitIndex0) <=> v90(constB109, bitIndex0)))) <=> ((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | (~less_3(bitIndex0)) | (v88(constB109, bitIndex0) <=> v90(constB109, bitIndex0)))),
% 16.91/12.18 inference(rewrite,[status(thm)],[])).
% 16.91/12.18 tff(32174,plain,
% 16.91/12.18 ((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | ((~less_3(bitIndex0)) | (v88(constB109, bitIndex0) <=> v90(constB109, bitIndex0)))),
% 16.91/12.18 inference(quant_inst,[status(thm)],[])).
% 16.91/12.18 tff(32175,plain,
% 16.91/12.18 ((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | (~less_3(bitIndex0)) | (v88(constB109, bitIndex0) <=> v90(constB109, bitIndex0))),
% 16.91/12.18 inference(modus_ponens,[status(thm)],[32174, 32173])).
% 16.91/12.18 tff(32176,plain,
% 16.91/12.18 (v88(constB109, bitIndex0) <=> v90(constB109, bitIndex0)),
% 16.91/12.18 inference(unit_resolution,[status(thm)],[32175, 5004, 410])).
% 16.91/12.18 tff(32177,plain,
% 16.91/12.18 ((~(v88(constB109, bitIndex0) <=> v90(constB109, bitIndex0))) | (~v88(constB109, bitIndex0)) | v90(constB109, bitIndex0)),
% 16.91/12.18 inference(tautology,[status(thm)],[])).
% 16.91/12.18 tff(32178,plain,
% 16.91/12.18 (~v88(constB109, bitIndex0)),
% 16.91/12.18 inference(unit_resolution,[status(thm)],[32177, 17272, 32176])).
% 16.91/12.18 tff(32179,plain,
% 16.91/12.18 (((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | ((~less_3(bitIndex1)) | (v88(constB109, bitIndex1) <=> v90(constB109, bitIndex1)))) <=> ((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | (~less_3(bitIndex1)) | (v88(constB109, bitIndex1) <=> v90(constB109, bitIndex1)))),
% 16.91/12.19 inference(rewrite,[status(thm)],[])).
% 16.91/12.19 tff(32180,plain,
% 16.91/12.19 ((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | ((~less_3(bitIndex1)) | (v88(constB109, bitIndex1) <=> v90(constB109, bitIndex1)))),
% 16.91/12.19 inference(quant_inst,[status(thm)],[])).
% 16.91/12.19 tff(32181,plain,
% 16.91/12.19 ((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | (~less_3(bitIndex1)) | (v88(constB109, bitIndex1) <=> v90(constB109, bitIndex1))),
% 16.91/12.19 inference(modus_ponens,[status(thm)],[32180, 32179])).
% 16.91/12.19 tff(32182,plain,
% 16.91/12.19 (v88(constB109, bitIndex1) <=> v90(constB109, bitIndex1)),
% 16.91/12.19 inference(unit_resolution,[status(thm)],[32181, 5017, 410])).
% 16.91/12.19 tff(32183,plain,
% 16.91/12.19 ((~(v88(constB109, bitIndex1) <=> v90(constB109, bitIndex1))) | v88(constB109, bitIndex1) | (~v90(constB109, bitIndex1))),
% 16.91/12.19 inference(tautology,[status(thm)],[])).
% 16.91/12.19 tff(32184,plain,
% 16.91/12.19 (v88(constB109, bitIndex1)),
% 16.91/12.19 inference(unit_resolution,[status(thm)],[32183, 17303, 32182])).
% 16.91/12.19 tff(32185,plain,
% 16.91/12.19 ((~(v88(constB109, bitIndex2) | (~v88(constB109, bitIndex1)) | v88(constB109, bitIndex0))) | v88(constB109, bitIndex2) | (~v88(constB109, bitIndex1)) | v88(constB109, bitIndex0)),
% 16.91/12.19 inference(tautology,[status(thm)],[])).
% 16.91/12.19 tff(32186,plain,
% 16.91/12.19 (~(v88(constB109, bitIndex2) | (~v88(constB109, bitIndex1)) | v88(constB109, bitIndex0))),
% 16.91/12.19 inference(unit_resolution,[status(thm)],[32185, 32184, 32178, 32172])).
% 16.91/12.19 tff(32187,plain,
% 16.91/12.19 ((~(v143(constB109) <=> (~(v88(constB109, bitIndex2) | (~v88(constB109, bitIndex1)) | v88(constB109, bitIndex0))))) | v143(constB109) | (v88(constB109, bitIndex2) | (~v88(constB109, bitIndex1)) | v88(constB109, bitIndex0))),
% 16.91/12.19 inference(tautology,[status(thm)],[])).
% 16.91/12.19 tff(32188,plain,
% 16.91/12.19 (v143(constB109)),
% 16.91/12.19 inference(unit_resolution,[status(thm)],[32187, 32186, 32166])).
% 16.91/12.19 tff(32189,plain,
% 16.91/12.19 ((v143(constB109) | v144(constB109)) | (~v143(constB109))),
% 16.91/12.19 inference(tautology,[status(thm)],[])).
% 16.91/12.19 tff(32190,plain,
% 16.91/12.19 (v143(constB109) | v144(constB109)),
% 16.91/12.19 inference(unit_resolution,[status(thm)],[32189, 32188])).
% 16.91/12.19 tff(32191,plain,
% 16.91/12.19 ((~(v142(constB109) <=> (v143(constB109) | v144(constB109)))) | v142(constB109) | (~(v143(constB109) | v144(constB109)))),
% 16.91/12.19 inference(tautology,[status(thm)],[])).
% 16.91/12.19 tff(32192,plain,
% 16.91/12.19 (v142(constB109)),
% 16.91/12.19 inference(unit_resolution,[status(thm)],[32191, 32190, 32159])).
% 16.91/12.19 tff(32193,plain,
% 16.91/12.19 (((~![VarCurr: $i] : (v148(VarCurr) | (~v142(VarCurr)))) | (v148(constB109) | (~v142(constB109)))) <=> ((~![VarCurr: $i] : (v148(VarCurr) | (~v142(VarCurr)))) | v148(constB109) | (~v142(constB109)))),
% 16.91/12.19 inference(rewrite,[status(thm)],[])).
% 16.91/12.19 tff(32194,plain,
% 16.91/12.19 ((~![VarCurr: $i] : (v148(VarCurr) | (~v142(VarCurr)))) | (v148(constB109) | (~v142(constB109)))),
% 16.91/12.19 inference(quant_inst,[status(thm)],[])).
% 16.91/12.19 tff(32195,plain,
% 16.91/12.19 ((~![VarCurr: $i] : (v148(VarCurr) | (~v142(VarCurr)))) | v148(constB109) | (~v142(constB109))),
% 16.91/12.19 inference(modus_ponens,[status(thm)],[32194, 32193])).
% 16.91/12.19 tff(32196,plain,
% 16.91/12.19 (v148(constB109) | (~v142(constB109))),
% 16.91/12.19 inference(unit_resolution,[status(thm)],[32195, 23525])).
% 16.91/12.19 tff(32197,plain,
% 16.91/12.19 (v148(constB109)),
% 16.91/12.19 inference(unit_resolution,[status(thm)],[32196, 32192])).
% 16.91/12.19 tff(32198,plain,
% 16.91/12.19 ((~![VarCurr: $i] : (v135(VarCurr) <=> (v136(VarCurr) | v145(VarCurr)))) | (v135(constB109) <=> (v136(constB109) | v145(constB109)))),
% 16.91/12.19 inference(quant_inst,[status(thm)],[])).
% 16.91/12.19 tff(32199,plain,
% 16.91/12.19 (v135(constB109) <=> (v136(constB109) | v145(constB109))),
% 16.91/12.19 inference(unit_resolution,[status(thm)],[32198, 23537])).
% 16.91/12.19 tff(32200,plain,
% 16.91/12.19 ((~![VarCurr: $i] : (v136(VarCurr) <=> (v137(VarCurr) | v142(VarCurr)))) | (v136(constB109) <=> (v137(constB109) | v142(constB109)))),
% 16.91/12.19 inference(quant_inst,[status(thm)],[])).
% 16.91/12.19 tff(32201,plain,
% 16.91/12.19 (v136(constB109) <=> (v137(constB109) | v142(constB109))),
% 16.91/12.19 inference(unit_resolution,[status(thm)],[32200, 23546])).
% 16.91/12.19 tff(32202,plain,
% 16.91/12.19 ((v137(constB109) | v142(constB109)) | (~v142(constB109))),
% 16.91/12.19 inference(tautology,[status(thm)],[])).
% 16.91/12.19 tff(32203,plain,
% 16.91/12.19 (v137(constB109) | v142(constB109)),
% 16.91/12.19 inference(unit_resolution,[status(thm)],[32202, 32192])).
% 16.91/12.19 tff(32204,plain,
% 16.91/12.19 ((~(v136(constB109) <=> (v137(constB109) | v142(constB109)))) | v136(constB109) | (~(v137(constB109) | v142(constB109)))),
% 16.91/12.19 inference(tautology,[status(thm)],[])).
% 16.91/12.19 tff(32205,plain,
% 16.91/12.19 (v136(constB109)),
% 16.91/12.19 inference(unit_resolution,[status(thm)],[32204, 32203, 32201])).
% 16.91/12.19 tff(32206,plain,
% 16.91/12.19 ((v136(constB109) | v145(constB109)) | (~v136(constB109))),
% 16.91/12.19 inference(tautology,[status(thm)],[])).
% 16.91/12.19 tff(32207,plain,
% 16.91/12.19 (v136(constB109) | v145(constB109)),
% 16.91/12.19 inference(unit_resolution,[status(thm)],[32206, 32205])).
% 16.91/12.19 tff(32208,plain,
% 16.91/12.19 ((~(v135(constB109) <=> (v136(constB109) | v145(constB109)))) | v135(constB109) | (~(v136(constB109) | v145(constB109)))),
% 16.91/12.19 inference(tautology,[status(thm)],[])).
% 16.91/12.19 tff(32209,plain,
% 16.91/12.19 (v135(constB109)),
% 16.91/12.19 inference(unit_resolution,[status(thm)],[32208, 32207, 32199])).
% 16.91/12.19 tff(32210,plain,
% 16.91/12.19 (((~![VarNext: $i] : ((~v135(VarNext)) | (v86(VarNext) <=> v148(VarNext)))) | ((~v135(constB109)) | (v86(constB109) <=> v148(constB109)))) <=> ((~![VarNext: $i] : ((~v135(VarNext)) | (v86(VarNext) <=> v148(VarNext)))) | (~v135(constB109)) | (v86(constB109) <=> v148(constB109)))),
% 16.91/12.19 inference(rewrite,[status(thm)],[])).
% 16.91/12.19 tff(32211,plain,
% 16.91/12.19 ((~![VarNext: $i] : ((~v135(VarNext)) | (v86(VarNext) <=> v148(VarNext)))) | ((~v135(constB109)) | (v86(constB109) <=> v148(constB109)))),
% 16.91/12.19 inference(quant_inst,[status(thm)],[])).
% 16.91/12.19 tff(32212,plain,
% 16.91/12.19 ((~![VarNext: $i] : ((~v135(VarNext)) | (v86(VarNext) <=> v148(VarNext)))) | (~v135(constB109)) | (v86(constB109) <=> v148(constB109))),
% 16.91/12.19 inference(modus_ponens,[status(thm)],[32211, 32210])).
% 16.91/12.19 tff(32213,plain,
% 16.91/12.19 ((~v135(constB109)) | (v86(constB109) <=> v148(constB109))),
% 16.91/12.19 inference(unit_resolution,[status(thm)],[32212, 23566])).
% 16.91/12.19 tff(32214,plain,
% 16.91/12.19 (v86(constB109) <=> v148(constB109)),
% 16.91/12.19 inference(unit_resolution,[status(thm)],[32213, 32209])).
% 16.91/12.19 tff(32215,plain,
% 16.91/12.19 ((~(v86(constB109) <=> v148(constB109))) | v86(constB109) | (~v148(constB109))),
% 16.91/12.19 inference(tautology,[status(thm)],[])).
% 16.91/12.19 tff(32216,plain,
% 16.91/12.19 (v86(constB109)),
% 16.91/12.19 inference(unit_resolution,[status(thm)],[32215, 32214, 32197])).
% 16.91/12.19 tff(32217,plain,
% 16.91/12.19 ($false),
% 16.91/12.19 inference(unit_resolution,[status(thm)],[32216, 32157])).
% 16.91/12.19 tff(32218,plain,(~(constB109 = VarCurr!0)), inference(lemma,lemma(discharge,[]))).
% 16.91/12.19 tff(32219,assumption,(constB29 = VarCurr!0), introduced(assumption)).
% 16.91/12.19 tff(32220,plain,
% 16.91/12.19 (v86(constB29) <=> v86(VarCurr!0)),
% 16.91/12.19 inference(monotonicity,[status(thm)],[32219])).
% 16.91/12.19 tff(32221,plain,
% 16.91/12.19 (v86(VarCurr!0) <=> v86(constB29)),
% 16.91/12.19 inference(symmetry,[status(thm)],[32220])).
% 16.91/12.19 tff(32222,plain,
% 16.91/12.19 ((~v86(VarCurr!0)) <=> (~v86(constB29))),
% 16.91/12.19 inference(monotonicity,[status(thm)],[32221])).
% 16.91/12.19 tff(32223,plain,
% 16.91/12.19 (~v86(constB29)),
% 16.91/12.19 inference(modus_ponens,[status(thm)],[20649, 32222])).
% 16.91/12.19 tff(32224,plain,
% 16.91/12.19 ((~![VarCurr: $i] : (v142(VarCurr) <=> (v143(VarCurr) | v144(VarCurr)))) | (v142(constB29) <=> (v143(constB29) | v144(constB29)))),
% 16.91/12.19 inference(quant_inst,[status(thm)],[])).
% 16.91/12.19 tff(32225,plain,
% 16.91/12.19 (v142(constB29) <=> (v143(constB29) | v144(constB29))),
% 16.91/12.19 inference(unit_resolution,[status(thm)],[32224, 378])).
% 16.91/12.19 tff(32226,plain,
% 16.91/12.19 (((~![VarCurr: $i] : (v143(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)))))) | (v143(constB29) <=> (~(v88(constB29, bitIndex2) | (~v88(constB29, bitIndex1)) | v88(constB29, bitIndex0))))) <=> ((~![VarCurr: $i] : (v143(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)))))) | (v143(constB29) <=> (~(v88(constB29, bitIndex2) | (~v88(constB29, bitIndex1)) | v88(constB29, bitIndex0)))))),
% 16.91/12.19 inference(rewrite,[status(thm)],[])).
% 16.91/12.19 tff(32227,plain,
% 16.91/12.19 ((v143(constB29) <=> (~(v88(constB29, bitIndex0) | v88(constB29, bitIndex2) | (~v88(constB29, bitIndex1))))) <=> (v143(constB29) <=> (~(v88(constB29, bitIndex2) | (~v88(constB29, bitIndex1)) | v88(constB29, bitIndex0))))),
% 16.91/12.19 inference(rewrite,[status(thm)],[])).
% 16.91/12.19 tff(32228,plain,
% 16.91/12.19 (((~![VarCurr: $i] : (v143(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)))))) | (v143(constB29) <=> (~(v88(constB29, bitIndex0) | v88(constB29, bitIndex2) | (~v88(constB29, bitIndex1)))))) <=> ((~![VarCurr: $i] : (v143(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)))))) | (v143(constB29) <=> (~(v88(constB29, bitIndex2) | (~v88(constB29, bitIndex1)) | v88(constB29, bitIndex0)))))),
% 16.91/12.19 inference(monotonicity,[status(thm)],[32227])).
% 16.91/12.19 tff(32229,plain,
% 16.91/12.19 (((~![VarCurr: $i] : (v143(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)))))) | (v143(constB29) <=> (~(v88(constB29, bitIndex0) | v88(constB29, bitIndex2) | (~v88(constB29, bitIndex1)))))) <=> ((~![VarCurr: $i] : (v143(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)))))) | (v143(constB29) <=> (~(v88(constB29, bitIndex2) | (~v88(constB29, bitIndex1)) | v88(constB29, bitIndex0)))))),
% 16.91/12.19 inference(transitivity,[status(thm)],[32228, 32226])).
% 16.91/12.19 tff(32230,plain,
% 16.91/12.19 ((~![VarCurr: $i] : (v143(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)))))) | (v143(constB29) <=> (~(v88(constB29, bitIndex0) | v88(constB29, bitIndex2) | (~v88(constB29, bitIndex1)))))),
% 16.91/12.19 inference(quant_inst,[status(thm)],[])).
% 16.91/12.19 tff(32231,plain,
% 16.91/12.19 ((~![VarCurr: $i] : (v143(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)))))) | (v143(constB29) <=> (~(v88(constB29, bitIndex2) | (~v88(constB29, bitIndex1)) | v88(constB29, bitIndex0))))),
% 16.91/12.19 inference(modus_ponens,[status(thm)],[32230, 32229])).
% 16.91/12.19 tff(32232,plain,
% 16.91/12.19 (v143(constB29) <=> (~(v88(constB29, bitIndex2) | (~v88(constB29, bitIndex1)) | v88(constB29, bitIndex0)))),
% 16.91/12.19 inference(unit_resolution,[status(thm)],[32231, 20665])).
% 16.91/12.19 tff(32233,plain,
% 16.91/12.19 (((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | ((~less_3(bitIndex2)) | (v88(constB29, bitIndex2) <=> v90(constB29, bitIndex2)))) <=> ((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | (~less_3(bitIndex2)) | (v88(constB29, bitIndex2) <=> v90(constB29, bitIndex2)))),
% 16.91/12.19 inference(rewrite,[status(thm)],[])).
% 16.91/12.19 tff(32234,plain,
% 16.91/12.19 ((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | ((~less_3(bitIndex2)) | (v88(constB29, bitIndex2) <=> v90(constB29, bitIndex2)))),
% 16.91/12.19 inference(quant_inst,[status(thm)],[])).
% 16.91/12.19 tff(32235,plain,
% 16.91/12.19 ((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | (~less_3(bitIndex2)) | (v88(constB29, bitIndex2) <=> v90(constB29, bitIndex2))),
% 16.91/12.19 inference(modus_ponens,[status(thm)],[32234, 32233])).
% 16.91/12.19 tff(32236,plain,
% 16.91/12.19 (v88(constB29, bitIndex2) <=> v90(constB29, bitIndex2)),
% 16.91/12.19 inference(unit_resolution,[status(thm)],[32235, 413, 410])).
% 16.91/12.19 tff(32237,plain,
% 16.91/12.19 ((~(v88(constB29, bitIndex2) <=> v90(constB29, bitIndex2))) | (~v88(constB29, bitIndex2)) | v90(constB29, bitIndex2)),
% 16.91/12.19 inference(tautology,[status(thm)],[])).
% 16.91/12.19 tff(32238,plain,
% 16.91/12.19 (~v88(constB29, bitIndex2)),
% 16.91/12.19 inference(unit_resolution,[status(thm)],[32237, 7521, 32236])).
% 16.91/12.19 tff(32239,plain,
% 16.91/12.19 (((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | ((~less_3(bitIndex0)) | (v88(constB29, bitIndex0) <=> v90(constB29, bitIndex0)))) <=> ((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | (~less_3(bitIndex0)) | (v88(constB29, bitIndex0) <=> v90(constB29, bitIndex0)))),
% 16.91/12.19 inference(rewrite,[status(thm)],[])).
% 16.91/12.19 tff(32240,plain,
% 16.91/12.19 ((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | ((~less_3(bitIndex0)) | (v88(constB29, bitIndex0) <=> v90(constB29, bitIndex0)))),
% 16.91/12.19 inference(quant_inst,[status(thm)],[])).
% 16.91/12.19 tff(32241,plain,
% 16.91/12.19 ((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | (~less_3(bitIndex0)) | (v88(constB29, bitIndex0) <=> v90(constB29, bitIndex0))),
% 16.91/12.19 inference(modus_ponens,[status(thm)],[32240, 32239])).
% 16.91/12.19 tff(32242,plain,
% 16.91/12.19 (v88(constB29, bitIndex0) <=> v90(constB29, bitIndex0)),
% 16.91/12.19 inference(unit_resolution,[status(thm)],[32241, 5004, 410])).
% 16.91/12.19 tff(32243,plain,
% 16.91/12.19 ((~(v88(constB29, bitIndex0) <=> v90(constB29, bitIndex0))) | (~v88(constB29, bitIndex0)) | v90(constB29, bitIndex0)),
% 16.91/12.19 inference(tautology,[status(thm)],[])).
% 16.91/12.19 tff(32244,plain,
% 16.91/12.19 (~v88(constB29, bitIndex0)),
% 16.91/12.19 inference(unit_resolution,[status(thm)],[32243, 7552, 32242])).
% 16.91/12.19 tff(32245,plain,
% 16.91/12.19 (((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | ((~less_3(bitIndex1)) | (v88(constB29, bitIndex1) <=> v90(constB29, bitIndex1)))) <=> ((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | (~less_3(bitIndex1)) | (v88(constB29, bitIndex1) <=> v90(constB29, bitIndex1)))),
% 16.91/12.19 inference(rewrite,[status(thm)],[])).
% 16.91/12.19 tff(32246,plain,
% 16.91/12.19 ((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | ((~less_3(bitIndex1)) | (v88(constB29, bitIndex1) <=> v90(constB29, bitIndex1)))),
% 16.91/12.19 inference(quant_inst,[status(thm)],[])).
% 16.91/12.19 tff(32247,plain,
% 16.91/12.19 ((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | (~less_3(bitIndex1)) | (v88(constB29, bitIndex1) <=> v90(constB29, bitIndex1))),
% 16.91/12.19 inference(modus_ponens,[status(thm)],[32246, 32245])).
% 16.91/12.19 tff(32248,plain,
% 16.91/12.19 (v88(constB29, bitIndex1) <=> v90(constB29, bitIndex1)),
% 16.91/12.19 inference(unit_resolution,[status(thm)],[32247, 5017, 410])).
% 16.91/12.19 tff(32249,plain,
% 16.91/12.19 ((~(v88(constB29, bitIndex1) <=> v90(constB29, bitIndex1))) | v88(constB29, bitIndex1) | (~v90(constB29, bitIndex1))),
% 16.91/12.19 inference(tautology,[status(thm)],[])).
% 16.91/12.19 tff(32250,plain,
% 16.91/12.19 (v88(constB29, bitIndex1)),
% 16.91/12.19 inference(unit_resolution,[status(thm)],[32249, 7583, 32248])).
% 16.91/12.19 tff(32251,plain,
% 16.91/12.19 ((~(v88(constB29, bitIndex2) | (~v88(constB29, bitIndex1)) | v88(constB29, bitIndex0))) | v88(constB29, bitIndex2) | (~v88(constB29, bitIndex1)) | v88(constB29, bitIndex0)),
% 16.91/12.19 inference(tautology,[status(thm)],[])).
% 16.91/12.19 tff(32252,plain,
% 16.91/12.19 (~(v88(constB29, bitIndex2) | (~v88(constB29, bitIndex1)) | v88(constB29, bitIndex0))),
% 16.91/12.19 inference(unit_resolution,[status(thm)],[32251, 32250, 32244, 32238])).
% 16.91/12.19 tff(32253,plain,
% 16.91/12.19 ((~(v143(constB29) <=> (~(v88(constB29, bitIndex2) | (~v88(constB29, bitIndex1)) | v88(constB29, bitIndex0))))) | v143(constB29) | (v88(constB29, bitIndex2) | (~v88(constB29, bitIndex1)) | v88(constB29, bitIndex0))),
% 16.91/12.19 inference(tautology,[status(thm)],[])).
% 16.91/12.19 tff(32254,plain,
% 16.91/12.19 (v143(constB29)),
% 16.91/12.19 inference(unit_resolution,[status(thm)],[32253, 32252, 32232])).
% 16.91/12.19 tff(32255,plain,
% 16.91/12.19 ((v143(constB29) | v144(constB29)) | (~v143(constB29))),
% 16.91/12.19 inference(tautology,[status(thm)],[])).
% 16.91/12.19 tff(32256,plain,
% 16.91/12.19 (v143(constB29) | v144(constB29)),
% 16.91/12.19 inference(unit_resolution,[status(thm)],[32255, 32254])).
% 16.91/12.19 tff(32257,plain,
% 16.91/12.19 ((~(v142(constB29) <=> (v143(constB29) | v144(constB29)))) | v142(constB29) | (~(v143(constB29) | v144(constB29)))),
% 16.91/12.19 inference(tautology,[status(thm)],[])).
% 16.91/12.19 tff(32258,plain,
% 16.91/12.19 (v142(constB29)),
% 16.91/12.19 inference(unit_resolution,[status(thm)],[32257, 32256, 32225])).
% 16.91/12.19 tff(32259,plain,
% 16.91/12.19 (((~![VarCurr: $i] : (v148(VarCurr) | (~v142(VarCurr)))) | (v148(constB29) | (~v142(constB29)))) <=> ((~![VarCurr: $i] : (v148(VarCurr) | (~v142(VarCurr)))) | v148(constB29) | (~v142(constB29)))),
% 16.91/12.19 inference(rewrite,[status(thm)],[])).
% 16.91/12.19 tff(32260,plain,
% 16.91/12.19 ((~![VarCurr: $i] : (v148(VarCurr) | (~v142(VarCurr)))) | (v148(constB29) | (~v142(constB29)))),
% 16.91/12.19 inference(quant_inst,[status(thm)],[])).
% 16.91/12.19 tff(32261,plain,
% 16.91/12.19 ((~![VarCurr: $i] : (v148(VarCurr) | (~v142(VarCurr)))) | v148(constB29) | (~v142(constB29))),
% 16.91/12.19 inference(modus_ponens,[status(thm)],[32260, 32259])).
% 16.91/12.19 tff(32262,plain,
% 16.91/12.19 (v148(constB29) | (~v142(constB29))),
% 16.91/12.19 inference(unit_resolution,[status(thm)],[32261, 23525])).
% 16.91/12.19 tff(32263,plain,
% 16.91/12.19 (v148(constB29)),
% 16.91/12.19 inference(unit_resolution,[status(thm)],[32262, 32258])).
% 16.91/12.20 tff(32264,plain,
% 16.91/12.20 ((~![VarCurr: $i] : (v135(VarCurr) <=> (v136(VarCurr) | v145(VarCurr)))) | (v135(constB29) <=> (v136(constB29) | v145(constB29)))),
% 16.91/12.20 inference(quant_inst,[status(thm)],[])).
% 16.91/12.20 tff(32265,plain,
% 16.91/12.20 (v135(constB29) <=> (v136(constB29) | v145(constB29))),
% 16.91/12.20 inference(unit_resolution,[status(thm)],[32264, 23537])).
% 16.91/12.20 tff(32266,plain,
% 16.91/12.20 ((~![VarCurr: $i] : (v136(VarCurr) <=> (v137(VarCurr) | v142(VarCurr)))) | (v136(constB29) <=> (v137(constB29) | v142(constB29)))),
% 16.91/12.20 inference(quant_inst,[status(thm)],[])).
% 16.91/12.20 tff(32267,plain,
% 16.91/12.20 (v136(constB29) <=> (v137(constB29) | v142(constB29))),
% 16.91/12.20 inference(unit_resolution,[status(thm)],[32266, 23546])).
% 16.91/12.20 tff(32268,plain,
% 16.91/12.20 ((v137(constB29) | v142(constB29)) | (~v142(constB29))),
% 16.91/12.20 inference(tautology,[status(thm)],[])).
% 16.91/12.20 tff(32269,plain,
% 16.91/12.20 (v137(constB29) | v142(constB29)),
% 16.91/12.20 inference(unit_resolution,[status(thm)],[32268, 32258])).
% 16.91/12.20 tff(32270,plain,
% 16.91/12.20 ((~(v136(constB29) <=> (v137(constB29) | v142(constB29)))) | v136(constB29) | (~(v137(constB29) | v142(constB29)))),
% 16.91/12.20 inference(tautology,[status(thm)],[])).
% 16.91/12.20 tff(32271,plain,
% 16.91/12.20 (v136(constB29)),
% 16.91/12.20 inference(unit_resolution,[status(thm)],[32270, 32269, 32267])).
% 16.91/12.20 tff(32272,plain,
% 16.91/12.20 ((v136(constB29) | v145(constB29)) | (~v136(constB29))),
% 16.91/12.20 inference(tautology,[status(thm)],[])).
% 16.91/12.20 tff(32273,plain,
% 16.91/12.20 (v136(constB29) | v145(constB29)),
% 16.91/12.20 inference(unit_resolution,[status(thm)],[32272, 32271])).
% 16.91/12.20 tff(32274,plain,
% 16.91/12.20 ((~(v135(constB29) <=> (v136(constB29) | v145(constB29)))) | v135(constB29) | (~(v136(constB29) | v145(constB29)))),
% 16.91/12.20 inference(tautology,[status(thm)],[])).
% 16.91/12.20 tff(32275,plain,
% 16.91/12.20 (v135(constB29)),
% 16.91/12.20 inference(unit_resolution,[status(thm)],[32274, 32273, 32265])).
% 16.91/12.20 tff(32276,plain,
% 16.91/12.20 (((~![VarNext: $i] : ((~v135(VarNext)) | (v86(VarNext) <=> v148(VarNext)))) | ((~v135(constB29)) | (v86(constB29) <=> v148(constB29)))) <=> ((~![VarNext: $i] : ((~v135(VarNext)) | (v86(VarNext) <=> v148(VarNext)))) | (~v135(constB29)) | (v86(constB29) <=> v148(constB29)))),
% 16.91/12.20 inference(rewrite,[status(thm)],[])).
% 16.91/12.20 tff(32277,plain,
% 16.91/12.20 ((~![VarNext: $i] : ((~v135(VarNext)) | (v86(VarNext) <=> v148(VarNext)))) | ((~v135(constB29)) | (v86(constB29) <=> v148(constB29)))),
% 16.91/12.20 inference(quant_inst,[status(thm)],[])).
% 16.91/12.20 tff(32278,plain,
% 16.91/12.20 ((~![VarNext: $i] : ((~v135(VarNext)) | (v86(VarNext) <=> v148(VarNext)))) | (~v135(constB29)) | (v86(constB29) <=> v148(constB29))),
% 16.91/12.20 inference(modus_ponens,[status(thm)],[32277, 32276])).
% 16.91/12.20 tff(32279,plain,
% 16.91/12.20 ((~v135(constB29)) | (v86(constB29) <=> v148(constB29))),
% 16.91/12.20 inference(unit_resolution,[status(thm)],[32278, 23566])).
% 16.91/12.20 tff(32280,plain,
% 16.91/12.20 (v86(constB29) <=> v148(constB29)),
% 16.91/12.20 inference(unit_resolution,[status(thm)],[32279, 32275])).
% 16.91/12.20 tff(32281,plain,
% 16.91/12.20 ((~(v86(constB29) <=> v148(constB29))) | v86(constB29) | (~v148(constB29))),
% 16.91/12.20 inference(tautology,[status(thm)],[])).
% 16.91/12.20 tff(32282,plain,
% 16.91/12.20 (v86(constB29)),
% 16.91/12.20 inference(unit_resolution,[status(thm)],[32281, 32280, 32263])).
% 16.91/12.20 tff(32283,plain,
% 16.91/12.20 ($false),
% 16.91/12.20 inference(unit_resolution,[status(thm)],[32282, 32223])).
% 16.91/12.20 tff(32284,plain,(~(constB29 = VarCurr!0)), inference(lemma,lemma(discharge,[]))).
% 16.91/12.20 tff(32285,assumption,(constB113 = VarCurr!0), introduced(assumption)).
% 16.91/12.20 tff(32286,plain,
% 16.91/12.20 (v193(constB113) <=> v193(VarCurr!0)),
% 16.91/12.20 inference(monotonicity,[status(thm)],[32285])).
% 16.91/12.20 tff(32287,plain,
% 16.91/12.20 (v193(VarCurr!0) <=> v193(constB113)),
% 16.91/12.20 inference(symmetry,[status(thm)],[32286])).
% 16.91/12.20 tff(32288,plain,
% 16.91/12.20 (v193(constB113)),
% 16.91/12.20 inference(modus_ponens,[status(thm)],[59, 32287])).
% 16.91/12.20 tff(32289,plain,
% 16.91/12.20 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v193(VarNext) <=> v191(VarCurr)))) | ((~nextState(constB112, constB113)) | (v193(constB113) <=> v191(constB112)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v193(VarNext) <=> v191(VarCurr)))) | (~nextState(constB112, constB113)) | (v193(constB113) <=> v191(constB112)))),
% 16.91/12.20 inference(rewrite,[status(thm)],[])).
% 16.91/12.20 tff(32290,plain,
% 16.91/12.20 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v193(VarNext) <=> v191(VarCurr)))) | ((~nextState(constB112, constB113)) | (v193(constB113) <=> v191(constB112)))),
% 17.00/12.20 inference(quant_inst,[status(thm)],[])).
% 17.00/12.20 tff(32291,plain,
% 17.00/12.20 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v193(VarNext) <=> v191(VarCurr)))) | (~nextState(constB112, constB113)) | (v193(constB113) <=> v191(constB112))),
% 17.00/12.20 inference(modus_ponens,[status(thm)],[32290, 32289])).
% 17.00/12.20 tff(32292,plain,
% 17.00/12.20 (v193(constB113) <=> v191(constB112)),
% 17.00/12.20 inference(unit_resolution,[status(thm)],[32291, 15285, 70])).
% 17.00/12.20 tff(32293,plain,
% 17.00/12.20 ((~![VarCurr: $i] : (v191(VarCurr) <=> (v194(VarCurr) | v198(VarCurr)))) | (v191(constB112) <=> (v194(constB112) | v198(constB112)))),
% 17.00/12.20 inference(quant_inst,[status(thm)],[])).
% 17.00/12.20 tff(32294,plain,
% 17.00/12.20 (v191(constB112) <=> (v194(constB112) | v198(constB112))),
% 17.00/12.20 inference(unit_resolution,[status(thm)],[32293, 84])).
% 17.00/12.20 tff(32295,plain,
% 17.00/12.20 ((~![VarCurr: $i] : (v198(VarCurr) <=> (~((~v199(VarCurr)) | (~v200(VarCurr)))))) | (v198(constB112) <=> (~((~v199(constB112)) | (~v200(constB112)))))),
% 17.00/12.20 inference(quant_inst,[status(thm)],[])).
% 17.00/12.20 tff(32296,plain,
% 17.00/12.20 (v198(constB112) <=> (~((~v199(constB112)) | (~v200(constB112))))),
% 17.00/12.20 inference(unit_resolution,[status(thm)],[32295, 96])).
% 17.00/12.20 tff(32297,plain,
% 17.00/12.20 ((~![VarCurr: $i] : (v200(VarCurr) <=> (~((~v197(VarCurr)) | (~v201(VarCurr)))))) | (v200(constB112) <=> (~((~v197(constB112)) | (~v201(constB112)))))),
% 17.00/12.20 inference(quant_inst,[status(thm)],[])).
% 17.00/12.20 tff(32298,plain,
% 17.00/12.20 (v200(constB112) <=> (~((~v197(constB112)) | (~v201(constB112))))),
% 17.00/12.20 inference(unit_resolution,[status(thm)],[32297, 108])).
% 17.00/12.20 tff(32299,plain,
% 17.00/12.20 ((~![VarCurr: $i] : (v197(VarCurr) <=> (~((~v39(VarCurr)) | (~v9(VarCurr)))))) | (v197(constB112) <=> (~((~v39(constB112)) | (~v9(constB112)))))),
% 17.00/12.20 inference(quant_inst,[status(thm)],[])).
% 17.00/12.20 tff(32300,plain,
% 17.00/12.20 (v197(constB112) <=> (~((~v39(constB112)) | (~v9(constB112))))),
% 17.00/12.20 inference(unit_resolution,[status(thm)],[32299, 120])).
% 17.00/12.20 tff(32301,plain,
% 17.00/12.20 ((~![VarCurr: $i] : ((~v39(VarCurr)) <=> v1(VarCurr))) | ((~v39(constB112)) <=> v1(constB112))),
% 17.00/12.20 inference(quant_inst,[status(thm)],[])).
% 17.00/12.20 tff(32302,plain,
% 17.00/12.20 ((~v39(constB112)) <=> v1(constB112)),
% 17.00/12.20 inference(unit_resolution,[status(thm)],[32301, 129])).
% 17.00/12.20 tff(32303,plain,
% 17.00/12.20 ((~((~v39(constB112)) <=> v1(constB112))) | (~v39(constB112)) | (~v1(constB112))),
% 17.00/12.20 inference(tautology,[status(thm)],[])).
% 17.00/12.20 tff(32304,plain,
% 17.00/12.20 ((~((~v39(constB112)) <=> v1(constB112))) | (~v39(constB112))),
% 17.00/12.20 inference(unit_resolution,[status(thm)],[32303, 15347])).
% 17.00/12.20 tff(32305,plain,
% 17.00/12.20 (~v39(constB112)),
% 17.00/12.20 inference(unit_resolution,[status(thm)],[32304, 32302])).
% 17.00/12.20 tff(32306,plain,
% 17.00/12.20 (((~v39(constB112)) | (~v9(constB112))) | v39(constB112)),
% 17.00/12.20 inference(tautology,[status(thm)],[])).
% 17.00/12.20 tff(32307,plain,
% 17.00/12.20 ((~v39(constB112)) | (~v9(constB112))),
% 17.00/12.20 inference(unit_resolution,[status(thm)],[32306, 32305])).
% 17.00/12.20 tff(32308,plain,
% 17.00/12.20 ((~(v197(constB112) <=> (~((~v39(constB112)) | (~v9(constB112)))))) | (~v197(constB112)) | (~((~v39(constB112)) | (~v9(constB112))))),
% 17.00/12.20 inference(tautology,[status(thm)],[])).
% 17.00/12.20 tff(32309,plain,
% 17.00/12.20 ((~(v197(constB112) <=> (~((~v39(constB112)) | (~v9(constB112)))))) | (~v197(constB112))),
% 17.00/12.20 inference(unit_resolution,[status(thm)],[32308, 32307])).
% 17.00/12.20 tff(32310,plain,
% 17.00/12.20 (~v197(constB112)),
% 17.00/12.20 inference(unit_resolution,[status(thm)],[32309, 32300])).
% 17.00/12.20 tff(32311,plain,
% 17.00/12.20 (((~v197(constB112)) | (~v201(constB112))) | v197(constB112)),
% 17.00/12.20 inference(tautology,[status(thm)],[])).
% 17.00/12.20 tff(32312,plain,
% 17.00/12.20 ((~v197(constB112)) | (~v201(constB112))),
% 17.00/12.20 inference(unit_resolution,[status(thm)],[32311, 32310])).
% 17.00/12.20 tff(32313,plain,
% 17.00/12.20 ((~(v200(constB112) <=> (~((~v197(constB112)) | (~v201(constB112)))))) | (~v200(constB112)) | (~((~v197(constB112)) | (~v201(constB112))))),
% 17.00/12.20 inference(tautology,[status(thm)],[])).
% 17.00/12.20 tff(32314,plain,
% 17.00/12.20 ((~(v200(constB112) <=> (~((~v197(constB112)) | (~v201(constB112)))))) | (~v200(constB112))),
% 17.00/12.20 inference(unit_resolution,[status(thm)],[32313, 32312])).
% 17.00/12.20 tff(32315,plain,
% 17.00/12.20 (~v200(constB112)),
% 17.00/12.20 inference(unit_resolution,[status(thm)],[32314, 32298])).
% 17.00/12.20 tff(32316,plain,
% 17.00/12.20 (((~v199(constB112)) | (~v200(constB112))) | v200(constB112)),
% 17.00/12.20 inference(tautology,[status(thm)],[])).
% 17.00/12.20 tff(32317,plain,
% 17.00/12.20 ((~v199(constB112)) | (~v200(constB112))),
% 17.00/12.20 inference(unit_resolution,[status(thm)],[32316, 32315])).
% 17.00/12.20 tff(32318,plain,
% 17.00/12.20 ((~(v198(constB112) <=> (~((~v199(constB112)) | (~v200(constB112)))))) | (~v198(constB112)) | (~((~v199(constB112)) | (~v200(constB112))))),
% 17.00/12.20 inference(tautology,[status(thm)],[])).
% 17.00/12.20 tff(32319,plain,
% 17.00/12.20 (~v198(constB112)),
% 17.00/12.20 inference(unit_resolution,[status(thm)],[32318, 32317, 32296])).
% 17.00/12.20 tff(32320,plain,
% 17.00/12.20 (((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB112) <=> (~((~v157(constB112)) | (~v195(constB112)))))) <=> ((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB112) <=> (~((~v157(constB112)) | (~v195(constB112))))))),
% 17.00/12.20 inference(rewrite,[status(thm)],[])).
% 17.00/12.20 tff(32321,plain,
% 17.00/12.20 ((v194(constB112) <=> (~((~v195(constB112)) | (~v157(constB112))))) <=> (v194(constB112) <=> (~((~v157(constB112)) | (~v195(constB112)))))),
% 17.00/12.20 inference(rewrite,[status(thm)],[])).
% 17.00/12.20 tff(32322,plain,
% 17.00/12.20 (((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB112) <=> (~((~v195(constB112)) | (~v157(constB112)))))) <=> ((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB112) <=> (~((~v157(constB112)) | (~v195(constB112))))))),
% 17.00/12.20 inference(monotonicity,[status(thm)],[32321])).
% 17.00/12.20 tff(32323,plain,
% 17.00/12.20 (((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB112) <=> (~((~v195(constB112)) | (~v157(constB112)))))) <=> ((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB112) <=> (~((~v157(constB112)) | (~v195(constB112))))))),
% 17.00/12.20 inference(transitivity,[status(thm)],[32322, 32320])).
% 17.00/12.20 tff(32324,plain,
% 17.00/12.20 ((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB112) <=> (~((~v195(constB112)) | (~v157(constB112)))))),
% 17.00/12.20 inference(quant_inst,[status(thm)],[])).
% 17.00/12.20 tff(32325,plain,
% 17.00/12.20 ((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB112) <=> (~((~v157(constB112)) | (~v195(constB112)))))),
% 17.00/12.20 inference(modus_ponens,[status(thm)],[32324, 32323])).
% 17.00/12.20 tff(32326,plain,
% 17.00/12.20 (v194(constB112) <=> (~((~v157(constB112)) | (~v195(constB112))))),
% 17.00/12.20 inference(unit_resolution,[status(thm)],[32325, 161])).
% 17.00/12.20 tff(32327,plain,
% 17.00/12.20 ((~![VarNext: $i] : (v157(VarNext) <=> v193(VarNext))) | (v157(constB112) <=> v193(constB112))),
% 17.00/12.20 inference(quant_inst,[status(thm)],[])).
% 17.00/12.20 tff(32328,plain,
% 17.00/12.20 (v157(constB112) <=> v193(constB112)),
% 17.00/12.20 inference(unit_resolution,[status(thm)],[32327, 13])).
% 17.00/12.20 tff(32329,plain,
% 17.00/12.20 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v193(VarNext) <=> v191(VarCurr)))) | ((~nextState(constB111, constB112)) | (v193(constB112) <=> v191(constB111)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v193(VarNext) <=> v191(VarCurr)))) | (~nextState(constB111, constB112)) | (v193(constB112) <=> v191(constB111)))),
% 17.00/12.20 inference(rewrite,[status(thm)],[])).
% 17.00/12.20 tff(32330,plain,
% 17.00/12.20 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v193(VarNext) <=> v191(VarCurr)))) | ((~nextState(constB111, constB112)) | (v193(constB112) <=> v191(constB111)))),
% 17.00/12.20 inference(quant_inst,[status(thm)],[])).
% 17.00/12.20 tff(32331,plain,
% 17.00/12.20 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v193(VarNext) <=> v191(VarCurr)))) | (~nextState(constB111, constB112)) | (v193(constB112) <=> v191(constB111))),
% 17.00/12.20 inference(modus_ponens,[status(thm)],[32330, 32329])).
% 17.00/12.20 tff(32332,plain,
% 17.00/12.20 (v193(constB112) <=> v191(constB111)),
% 17.00/12.20 inference(unit_resolution,[status(thm)],[32331, 15317, 70])).
% 17.00/12.20 tff(32333,plain,
% 17.00/12.20 ((~![VarCurr: $i] : (v191(VarCurr) <=> (v194(VarCurr) | v198(VarCurr)))) | (v191(constB111) <=> (v194(constB111) | v198(constB111)))),
% 17.00/12.20 inference(quant_inst,[status(thm)],[])).
% 17.00/12.20 tff(32334,plain,
% 17.00/12.20 (v191(constB111) <=> (v194(constB111) | v198(constB111))),
% 17.00/12.20 inference(unit_resolution,[status(thm)],[32333, 84])).
% 17.00/12.20 tff(32335,plain,
% 17.00/12.20 (((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB111) <=> (~((~v157(constB111)) | (~v195(constB111)))))) <=> ((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB111) <=> (~((~v157(constB111)) | (~v195(constB111))))))),
% 17.00/12.20 inference(rewrite,[status(thm)],[])).
% 17.00/12.20 tff(32336,plain,
% 17.00/12.20 ((v194(constB111) <=> (~((~v195(constB111)) | (~v157(constB111))))) <=> (v194(constB111) <=> (~((~v157(constB111)) | (~v195(constB111)))))),
% 17.00/12.20 inference(rewrite,[status(thm)],[])).
% 17.00/12.20 tff(32337,plain,
% 17.00/12.20 (((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB111) <=> (~((~v195(constB111)) | (~v157(constB111)))))) <=> ((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB111) <=> (~((~v157(constB111)) | (~v195(constB111))))))),
% 17.00/12.20 inference(monotonicity,[status(thm)],[32336])).
% 17.00/12.20 tff(32338,plain,
% 17.00/12.20 (((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB111) <=> (~((~v195(constB111)) | (~v157(constB111)))))) <=> ((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB111) <=> (~((~v157(constB111)) | (~v195(constB111))))))),
% 17.00/12.20 inference(transitivity,[status(thm)],[32337, 32335])).
% 17.00/12.20 tff(32339,plain,
% 17.00/12.20 ((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB111) <=> (~((~v195(constB111)) | (~v157(constB111)))))),
% 17.00/12.20 inference(quant_inst,[status(thm)],[])).
% 17.00/12.20 tff(32340,plain,
% 17.00/12.20 ((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB111) <=> (~((~v157(constB111)) | (~v195(constB111)))))),
% 17.00/12.20 inference(modus_ponens,[status(thm)],[32339, 32338])).
% 17.00/12.20 tff(32341,plain,
% 17.00/12.20 (v194(constB111) <=> (~((~v157(constB111)) | (~v195(constB111))))),
% 17.00/12.20 inference(unit_resolution,[status(thm)],[32340, 161])).
% 17.00/12.20 tff(32342,plain,
% 17.00/12.20 ((~![VarCurr: $i] : ((~v195(VarCurr)) <=> v196(VarCurr))) | ((~v195(constB111)) <=> v196(constB111))),
% 17.00/12.20 inference(quant_inst,[status(thm)],[])).
% 17.00/12.20 tff(32343,plain,
% 17.00/12.20 ((~v195(constB111)) <=> v196(constB111)),
% 17.00/12.20 inference(unit_resolution,[status(thm)],[32342, 193])).
% 17.00/12.20 tff(32344,plain,
% 17.00/12.20 ((~![VarCurr: $i] : (v196(VarCurr) <=> (v197(VarCurr) | v26(VarCurr)))) | (v196(constB111) <=> (v197(constB111) | v26(constB111)))),
% 17.00/12.20 inference(quant_inst,[status(thm)],[])).
% 17.00/12.20 tff(32345,plain,
% 17.00/12.20 (v196(constB111) <=> (v197(constB111) | v26(constB111))),
% 17.00/12.20 inference(unit_resolution,[status(thm)],[32344, 202])).
% 17.00/12.20 tff(32346,plain,
% 17.00/12.20 ((~![VarCurr: $i] : (v197(VarCurr) <=> (~((~v39(VarCurr)) | (~v9(VarCurr)))))) | (v197(constB111) <=> (~((~v39(constB111)) | (~v9(constB111)))))),
% 17.00/12.20 inference(quant_inst,[status(thm)],[])).
% 17.00/12.20 tff(32347,plain,
% 17.00/12.20 (v197(constB111) <=> (~((~v39(constB111)) | (~v9(constB111))))),
% 17.00/12.20 inference(unit_resolution,[status(thm)],[32346, 120])).
% 17.00/12.20 tff(32348,plain,
% 17.00/12.20 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | ((~nextState(constB111, constB112)) | (v13(constB112) <=> v9(constB111)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | (~nextState(constB111, constB112)) | (v13(constB112) <=> v9(constB111)))),
% 17.00/12.20 inference(rewrite,[status(thm)],[])).
% 17.00/12.20 tff(32349,plain,
% 17.00/12.20 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | ((~nextState(constB111, constB112)) | (v13(constB112) <=> v9(constB111)))),
% 17.00/12.20 inference(quant_inst,[status(thm)],[])).
% 17.00/12.20 tff(32350,plain,
% 17.00/12.20 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | (~nextState(constB111, constB112)) | (v13(constB112) <=> v9(constB111))),
% 17.00/12.20 inference(modus_ponens,[status(thm)],[32349, 32348])).
% 17.00/12.20 tff(32351,plain,
% 17.00/12.20 (v13(constB112) <=> v9(constB111)),
% 17.00/12.20 inference(unit_resolution,[status(thm)],[32350, 15317, 216])).
% 17.00/12.20 tff(32352,plain,
% 17.00/12.20 ((~![VarNext: $i] : (v6(VarNext) <=> v13(VarNext))) | (v6(constB112) <=> v13(constB112))),
% 17.00/12.20 inference(quant_inst,[status(thm)],[])).
% 17.00/12.20 tff(32353,plain,
% 17.00/12.20 (v6(constB112) <=> v13(constB112)),
% 17.00/12.20 inference(unit_resolution,[status(thm)],[32352, 230])).
% 17.00/12.20 tff(32354,plain,
% 17.00/12.20 ((~![VarCurr: $i] : ((~v21(VarCurr)) <=> v6(VarCurr))) | ((~v21(constB112)) <=> v6(constB112))),
% 17.00/12.20 inference(quant_inst,[status(thm)],[])).
% 17.00/12.20 tff(32355,plain,
% 17.00/12.20 ((~v21(constB112)) <=> v6(constB112)),
% 17.00/12.20 inference(unit_resolution,[status(thm)],[32354, 239])).
% 17.00/12.20 tff(32356,plain,
% 17.00/12.20 ((~![VarCurr: $i] : (v19(VarCurr) <=> (v20(VarCurr) | v21(VarCurr)))) | (v19(constB112) <=> (v20(constB112) | v21(constB112)))),
% 17.00/12.20 inference(quant_inst,[status(thm)],[])).
% 17.00/12.20 tff(32357,plain,
% 17.00/12.20 (v19(constB112) <=> (v20(constB112) | v21(constB112))),
% 17.00/12.20 inference(unit_resolution,[status(thm)],[32356, 248])).
% 17.00/12.20 tff(32358,plain,
% 17.00/12.20 ((~![VarCurr: $i] : (v18(VarCurr) <=> (~((~v19(VarCurr)) | (~v22(VarCurr)))))) | (v18(constB112) <=> (~((~v19(constB112)) | (~v22(constB112)))))),
% 17.00/12.20 inference(quant_inst,[status(thm)],[])).
% 17.00/12.20 tff(32359,plain,
% 17.00/12.20 (v18(constB112) <=> (~((~v19(constB112)) | (~v22(constB112))))),
% 17.00/12.20 inference(unit_resolution,[status(thm)],[32358, 260])).
% 17.00/12.20 tff(32360,plain,
% 17.00/12.20 ((~![VarCurr: $i] : ((~v4(VarCurr)) <=> v18(VarCurr))) | ((~v4(constB112)) <=> v18(constB112))),
% 17.00/12.20 inference(quant_inst,[status(thm)],[])).
% 17.00/12.20 tff(32361,plain,
% 17.00/12.20 ((~v4(constB112)) <=> v18(constB112)),
% 17.00/12.20 inference(unit_resolution,[status(thm)],[32360, 269])).
% 17.00/12.20 tff(32362,plain,
% 17.00/12.20 ((~![VarCurr: $i] : v4(VarCurr)) | v4(constB112)),
% 17.00/12.20 inference(quant_inst,[status(thm)],[])).
% 17.00/12.20 tff(32363,plain,
% 17.00/12.20 (v4(constB112)),
% 17.00/12.20 inference(unit_resolution,[status(thm)],[32362, 278])).
% 17.00/12.20 tff(32364,plain,
% 17.00/12.20 ((~((~v4(constB112)) <=> v18(constB112))) | (~v4(constB112)) | (~v18(constB112))),
% 17.00/12.20 inference(tautology,[status(thm)],[])).
% 17.00/12.20 tff(32365,plain,
% 17.00/12.20 (~v18(constB112)),
% 17.00/12.20 inference(unit_resolution,[status(thm)],[32364, 32363, 32361])).
% 17.00/12.20 tff(32366,plain,
% 17.00/12.20 ((~(v18(constB112) <=> (~((~v19(constB112)) | (~v22(constB112)))))) | v18(constB112) | ((~v19(constB112)) | (~v22(constB112)))),
% 17.00/12.20 inference(tautology,[status(thm)],[])).
% 17.00/12.20 tff(32367,plain,
% 17.00/12.20 ((~v19(constB112)) | (~v22(constB112))),
% 17.00/12.20 inference(unit_resolution,[status(thm)],[32366, 32365, 32359])).
% 17.00/12.20 tff(32368,plain,
% 17.00/12.20 ((~![VarCurr: $i] : (v22(VarCurr) <=> (v1(VarCurr) | v6(VarCurr)))) | (v22(constB112) <=> (v1(constB112) | v6(constB112)))),
% 17.00/12.20 inference(quant_inst,[status(thm)],[])).
% 17.00/12.20 tff(32369,plain,
% 17.00/12.20 (v22(constB112) <=> (v1(constB112) | v6(constB112))),
% 17.00/12.20 inference(unit_resolution,[status(thm)],[32368, 291])).
% 17.00/12.20 tff(32370,plain,
% 17.00/12.20 ((v1(constB112) | v6(constB112)) | (~v1(constB112))),
% 17.00/12.20 inference(tautology,[status(thm)],[])).
% 17.00/12.20 tff(32371,plain,
% 17.00/12.20 (v1(constB112) | v6(constB112)),
% 17.00/12.20 inference(unit_resolution,[status(thm)],[32370, 15347])).
% 17.00/12.20 tff(32372,plain,
% 17.00/12.20 ((~(v22(constB112) <=> (v1(constB112) | v6(constB112)))) | v22(constB112) | (~(v1(constB112) | v6(constB112)))),
% 17.00/12.20 inference(tautology,[status(thm)],[])).
% 17.00/12.20 tff(32373,plain,
% 17.00/12.20 ((~(v22(constB112) <=> (v1(constB112) | v6(constB112)))) | v22(constB112)),
% 17.00/12.20 inference(unit_resolution,[status(thm)],[32372, 32371])).
% 17.00/12.20 tff(32374,plain,
% 17.00/12.20 (v22(constB112)),
% 17.00/12.20 inference(unit_resolution,[status(thm)],[32373, 32369])).
% 17.00/12.20 tff(32375,plain,
% 17.00/12.20 ((~((~v19(constB112)) | (~v22(constB112)))) | (~v19(constB112)) | (~v22(constB112))),
% 17.00/12.20 inference(tautology,[status(thm)],[])).
% 17.00/12.20 tff(32376,plain,
% 17.00/12.20 ((~((~v19(constB112)) | (~v22(constB112)))) | (~v19(constB112))),
% 17.00/12.20 inference(unit_resolution,[status(thm)],[32375, 32374])).
% 17.00/12.20 tff(32377,plain,
% 17.00/12.20 (~v19(constB112)),
% 17.00/12.20 inference(unit_resolution,[status(thm)],[32376, 32367])).
% 17.00/12.20 tff(32378,plain,
% 17.00/12.20 ((~(v19(constB112) <=> (v20(constB112) | v21(constB112)))) | v19(constB112) | (~(v20(constB112) | v21(constB112)))),
% 17.00/12.20 inference(tautology,[status(thm)],[])).
% 17.00/12.20 tff(32379,plain,
% 17.00/12.20 (~(v20(constB112) | v21(constB112))),
% 17.00/12.20 inference(unit_resolution,[status(thm)],[32378, 32377, 32357])).
% 17.00/12.20 tff(32380,plain,
% 17.00/12.20 ((v20(constB112) | v21(constB112)) | (~v21(constB112))),
% 17.00/12.21 inference(tautology,[status(thm)],[])).
% 17.00/12.21 tff(32381,plain,
% 17.00/12.21 (~v21(constB112)),
% 17.00/12.21 inference(unit_resolution,[status(thm)],[32380, 32379])).
% 17.00/12.21 tff(32382,plain,
% 17.00/12.21 ((~((~v21(constB112)) <=> v6(constB112))) | v21(constB112) | v6(constB112)),
% 17.00/12.21 inference(tautology,[status(thm)],[])).
% 17.00/12.21 tff(32383,plain,
% 17.00/12.21 (v6(constB112)),
% 17.00/12.21 inference(unit_resolution,[status(thm)],[32382, 32381, 32355])).
% 17.00/12.21 tff(32384,plain,
% 17.00/12.21 ((~(v6(constB112) <=> v13(constB112))) | (~v6(constB112)) | v13(constB112)),
% 17.00/12.21 inference(tautology,[status(thm)],[])).
% 17.00/12.21 tff(32385,plain,
% 17.00/12.21 (v13(constB112)),
% 17.00/12.21 inference(unit_resolution,[status(thm)],[32384, 32383, 32353])).
% 17.00/12.21 tff(32386,plain,
% 17.00/12.21 ((~(v13(constB112) <=> v9(constB111))) | (~v13(constB112)) | v9(constB111)),
% 17.00/12.21 inference(tautology,[status(thm)],[])).
% 17.00/12.21 tff(32387,plain,
% 17.00/12.21 (v9(constB111)),
% 17.00/12.21 inference(unit_resolution,[status(thm)],[32386, 32385, 32351])).
% 17.00/12.21 tff(32388,plain,
% 17.00/12.21 ((~![VarCurr: $i] : ((~v39(VarCurr)) <=> v1(VarCurr))) | ((~v39(constB111)) <=> v1(constB111))),
% 17.00/12.21 inference(quant_inst,[status(thm)],[])).
% 17.00/12.21 tff(32389,plain,
% 17.00/12.21 ((~v39(constB111)) <=> v1(constB111)),
% 17.00/12.21 inference(unit_resolution,[status(thm)],[32388, 129])).
% 17.00/12.21 tff(32390,plain,
% 17.00/12.21 ((~((~v39(constB111)) <=> v1(constB111))) | v39(constB111) | v1(constB111)),
% 17.00/12.21 inference(tautology,[status(thm)],[])).
% 17.00/12.21 tff(32391,plain,
% 17.00/12.21 ((~((~v39(constB111)) <=> v1(constB111))) | v39(constB111)),
% 17.00/12.21 inference(unit_resolution,[status(thm)],[32390, 15339])).
% 17.00/12.21 tff(32392,plain,
% 17.00/12.21 (v39(constB111)),
% 17.00/12.21 inference(unit_resolution,[status(thm)],[32391, 32389])).
% 17.00/12.21 tff(32393,plain,
% 17.00/12.21 ((~((~v39(constB111)) | (~v9(constB111)))) | (~v39(constB111)) | (~v9(constB111))),
% 17.00/12.21 inference(tautology,[status(thm)],[])).
% 17.00/12.21 tff(32394,plain,
% 17.00/12.21 ((~((~v39(constB111)) | (~v9(constB111)))) | (~v9(constB111))),
% 17.00/12.21 inference(unit_resolution,[status(thm)],[32393, 32392])).
% 17.00/12.21 tff(32395,plain,
% 17.00/12.21 (~((~v39(constB111)) | (~v9(constB111)))),
% 17.00/12.21 inference(unit_resolution,[status(thm)],[32394, 32387])).
% 17.00/12.21 tff(32396,plain,
% 17.00/12.21 ((~(v197(constB111) <=> (~((~v39(constB111)) | (~v9(constB111)))))) | v197(constB111) | ((~v39(constB111)) | (~v9(constB111)))),
% 17.00/12.21 inference(tautology,[status(thm)],[])).
% 17.00/12.21 tff(32397,plain,
% 17.00/12.21 (v197(constB111)),
% 17.00/12.21 inference(unit_resolution,[status(thm)],[32396, 32395, 32347])).
% 17.00/12.21 tff(32398,plain,
% 17.00/12.21 ((v197(constB111) | v26(constB111)) | (~v197(constB111))),
% 17.00/12.21 inference(tautology,[status(thm)],[])).
% 17.00/12.21 tff(32399,plain,
% 17.00/12.21 (v197(constB111) | v26(constB111)),
% 17.00/12.21 inference(unit_resolution,[status(thm)],[32398, 32397])).
% 17.00/12.21 tff(32400,plain,
% 17.00/12.21 ((~(v196(constB111) <=> (v197(constB111) | v26(constB111)))) | v196(constB111) | (~(v197(constB111) | v26(constB111)))),
% 17.00/12.21 inference(tautology,[status(thm)],[])).
% 17.00/12.21 tff(32401,plain,
% 17.00/12.21 (v196(constB111)),
% 17.00/12.21 inference(unit_resolution,[status(thm)],[32400, 32399, 32345])).
% 17.00/12.21 tff(32402,plain,
% 17.00/12.21 ((~((~v195(constB111)) <=> v196(constB111))) | (~v195(constB111)) | (~v196(constB111))),
% 17.00/12.21 inference(tautology,[status(thm)],[])).
% 17.00/12.21 tff(32403,plain,
% 17.00/12.21 (~v195(constB111)),
% 17.00/12.21 inference(unit_resolution,[status(thm)],[32402, 32401, 32343])).
% 17.00/12.21 tff(32404,plain,
% 17.00/12.21 (((~v157(constB111)) | (~v195(constB111))) | v195(constB111)),
% 17.00/12.21 inference(tautology,[status(thm)],[])).
% 17.00/12.21 tff(32405,plain,
% 17.00/12.21 ((~v157(constB111)) | (~v195(constB111))),
% 17.00/12.21 inference(unit_resolution,[status(thm)],[32404, 32403])).
% 17.00/12.21 tff(32406,plain,
% 17.00/12.21 ((~(v194(constB111) <=> (~((~v157(constB111)) | (~v195(constB111)))))) | (~v194(constB111)) | (~((~v157(constB111)) | (~v195(constB111))))),
% 17.00/12.21 inference(tautology,[status(thm)],[])).
% 17.00/12.21 tff(32407,plain,
% 17.00/12.21 (~v194(constB111)),
% 17.00/12.21 inference(unit_resolution,[status(thm)],[32406, 32405, 32341])).
% 17.00/12.21 tff(32408,plain,
% 17.00/12.21 ((~![VarCurr: $i] : (v198(VarCurr) <=> (~((~v199(VarCurr)) | (~v200(VarCurr)))))) | (v198(constB111) <=> (~((~v199(constB111)) | (~v200(constB111)))))),
% 17.00/12.21 inference(quant_inst,[status(thm)],[])).
% 17.00/12.21 tff(32409,plain,
% 17.00/12.21 (v198(constB111) <=> (~((~v199(constB111)) | (~v200(constB111))))),
% 17.00/12.21 inference(unit_resolution,[status(thm)],[32408, 96])).
% 17.00/12.21 tff(32410,plain,
% 17.00/12.21 ((~![VarCurr: $i] : (v200(VarCurr) <=> (~((~v197(VarCurr)) | (~v201(VarCurr)))))) | (v200(constB111) <=> (~((~v197(constB111)) | (~v201(constB111)))))),
% 17.00/12.21 inference(quant_inst,[status(thm)],[])).
% 17.00/12.21 tff(32411,plain,
% 17.00/12.21 (v200(constB111) <=> (~((~v197(constB111)) | (~v201(constB111))))),
% 17.00/12.21 inference(unit_resolution,[status(thm)],[32410, 108])).
% 17.00/12.21 tff(32412,plain,
% 17.00/12.21 ((~![VarCurr: $i] : (v201(VarCurr) <=> (~((~v159(VarCurr)) | (~v161(VarCurr)))))) | (v201(constB111) <=> (~((~v159(constB111)) | (~v161(constB111)))))),
% 17.00/12.21 inference(quant_inst,[status(thm)],[])).
% 17.00/12.21 tff(32413,plain,
% 17.00/12.21 (v201(constB111) <=> (~((~v159(constB111)) | (~v161(constB111))))),
% 17.00/12.21 inference(unit_resolution,[status(thm)],[32412, 348])).
% 17.00/12.21 tff(32414,plain,
% 17.00/12.21 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v179(VarNext) <=> v180(VarNext)))) | ((~nextState(constB110, constB111)) | (v179(constB111) <=> v180(constB111)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v179(VarNext) <=> v180(VarNext)))) | (~nextState(constB110, constB111)) | (v179(constB111) <=> v180(constB111)))),
% 17.00/12.21 inference(rewrite,[status(thm)],[])).
% 17.00/12.21 tff(32415,plain,
% 17.00/12.21 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v179(VarNext) <=> v180(VarNext)))) | ((~nextState(constB110, constB111)) | (v179(constB111) <=> v180(constB111)))),
% 17.00/12.21 inference(quant_inst,[status(thm)],[])).
% 17.00/12.21 tff(32416,plain,
% 17.00/12.21 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v179(VarNext) <=> v180(VarNext)))) | (~nextState(constB110, constB111)) | (v179(constB111) <=> v180(constB111))),
% 17.00/12.21 inference(modus_ponens,[status(thm)],[32415, 32414])).
% 17.00/12.21 tff(32417,plain,
% 17.00/12.21 (v179(constB111) <=> v180(constB111)),
% 17.00/12.21 inference(unit_resolution,[status(thm)],[32416, 15378, 13536])).
% 17.00/12.21 tff(32418,plain,
% 17.00/12.21 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> (~((~v181(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB110, constB111)) | (v180(constB111) <=> (~((~v1(constB111)) | (~v181(constB111))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> (~((~v181(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB110, constB111)) | (v180(constB111) <=> (~((~v1(constB111)) | (~v181(constB111))))))),
% 17.00/12.21 inference(rewrite,[status(thm)],[])).
% 17.00/12.21 tff(32419,plain,
% 17.00/12.21 (((~nextState(constB110, constB111)) | (v180(constB111) <=> (~((~v181(constB111)) | (~v1(constB111)))))) <=> ((~nextState(constB110, constB111)) | (v180(constB111) <=> (~((~v1(constB111)) | (~v181(constB111))))))),
% 17.00/12.21 inference(rewrite,[status(thm)],[])).
% 17.00/12.21 tff(32420,plain,
% 17.00/12.21 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> (~((~v181(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB110, constB111)) | (v180(constB111) <=> (~((~v181(constB111)) | (~v1(constB111))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> (~((~v181(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB110, constB111)) | (v180(constB111) <=> (~((~v1(constB111)) | (~v181(constB111)))))))),
% 17.00/12.21 inference(monotonicity,[status(thm)],[32419])).
% 17.00/12.21 tff(32421,plain,
% 17.00/12.21 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> (~((~v181(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB110, constB111)) | (v180(constB111) <=> (~((~v181(constB111)) | (~v1(constB111))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> (~((~v181(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB110, constB111)) | (v180(constB111) <=> (~((~v1(constB111)) | (~v181(constB111))))))),
% 17.00/12.21 inference(transitivity,[status(thm)],[32420, 32418])).
% 17.00/12.21 tff(32422,plain,
% 17.00/12.21 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> (~((~v181(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB110, constB111)) | (v180(constB111) <=> (~((~v181(constB111)) | (~v1(constB111))))))),
% 17.00/12.21 inference(quant_inst,[status(thm)],[])).
% 17.00/12.21 tff(32423,plain,
% 17.00/12.21 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> (~((~v181(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB110, constB111)) | (v180(constB111) <=> (~((~v1(constB111)) | (~v181(constB111)))))),
% 17.00/12.21 inference(modus_ponens,[status(thm)],[32422, 32421])).
% 17.00/12.21 tff(32424,plain,
% 17.00/12.21 (v180(constB111) <=> (~((~v1(constB111)) | (~v181(constB111))))),
% 17.00/12.21 inference(unit_resolution,[status(thm)],[32423, 15378, 13556])).
% 17.00/12.21 tff(32425,plain,
% 17.00/12.21 (((~v1(constB111)) | (~v181(constB111))) | v1(constB111)),
% 17.00/12.21 inference(tautology,[status(thm)],[])).
% 17.00/12.21 tff(32426,plain,
% 17.00/12.21 ((~v1(constB111)) | (~v181(constB111))),
% 17.00/12.21 inference(unit_resolution,[status(thm)],[32425, 15339])).
% 17.00/12.21 tff(32427,plain,
% 17.00/12.21 ((~(v180(constB111) <=> (~((~v1(constB111)) | (~v181(constB111)))))) | (~v180(constB111)) | (~((~v1(constB111)) | (~v181(constB111))))),
% 17.00/12.21 inference(tautology,[status(thm)],[])).
% 17.00/12.21 tff(32428,plain,
% 17.00/12.21 ((~(v180(constB111) <=> (~((~v1(constB111)) | (~v181(constB111)))))) | (~v180(constB111))),
% 17.00/12.21 inference(unit_resolution,[status(thm)],[32427, 32426])).
% 17.00/12.21 tff(32429,plain,
% 17.00/12.21 (~v180(constB111)),
% 17.00/12.21 inference(unit_resolution,[status(thm)],[32428, 32424])).
% 17.00/12.21 tff(32430,plain,
% 17.00/12.21 ((~(v179(constB111) <=> v180(constB111))) | (~v179(constB111)) | v180(constB111)),
% 17.00/12.21 inference(tautology,[status(thm)],[])).
% 17.00/12.21 tff(32431,plain,
% 17.00/12.21 (~v179(constB111)),
% 17.00/12.21 inference(unit_resolution,[status(thm)],[32430, 32429, 32417])).
% 17.00/12.21 tff(32432,plain,
% 17.00/12.21 (((~![VarCurr: $i, VarNext: $i] : ((v159(VarNext) <=> v159(VarCurr)) | v179(VarNext) | (~nextState(VarCurr, VarNext)))) | ((~nextState(constB110, constB111)) | v179(constB111) | (v159(constB111) <=> v159(constB110)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((v159(VarNext) <=> v159(VarCurr)) | v179(VarNext) | (~nextState(VarCurr, VarNext)))) | (~nextState(constB110, constB111)) | v179(constB111) | (v159(constB111) <=> v159(constB110)))),
% 17.00/12.21 inference(rewrite,[status(thm)],[])).
% 17.00/12.21 tff(32433,plain,
% 17.00/12.21 (((v159(constB111) <=> v159(constB110)) | v179(constB111) | (~nextState(constB110, constB111))) <=> ((~nextState(constB110, constB111)) | v179(constB111) | (v159(constB111) <=> v159(constB110)))),
% 17.00/12.21 inference(rewrite,[status(thm)],[])).
% 17.00/12.21 tff(32434,plain,
% 17.00/12.21 (((~![VarCurr: $i, VarNext: $i] : ((v159(VarNext) <=> v159(VarCurr)) | v179(VarNext) | (~nextState(VarCurr, VarNext)))) | ((v159(constB111) <=> v159(constB110)) | v179(constB111) | (~nextState(constB110, constB111)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((v159(VarNext) <=> v159(VarCurr)) | v179(VarNext) | (~nextState(VarCurr, VarNext)))) | ((~nextState(constB110, constB111)) | v179(constB111) | (v159(constB111) <=> v159(constB110))))),
% 17.00/12.21 inference(monotonicity,[status(thm)],[32433])).
% 17.00/12.21 tff(32435,plain,
% 17.00/12.21 (((~![VarCurr: $i, VarNext: $i] : ((v159(VarNext) <=> v159(VarCurr)) | v179(VarNext) | (~nextState(VarCurr, VarNext)))) | ((v159(constB111) <=> v159(constB110)) | v179(constB111) | (~nextState(constB110, constB111)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((v159(VarNext) <=> v159(VarCurr)) | v179(VarNext) | (~nextState(VarCurr, VarNext)))) | (~nextState(constB110, constB111)) | v179(constB111) | (v159(constB111) <=> v159(constB110)))),
% 17.00/12.21 inference(transitivity,[status(thm)],[32434, 32432])).
% 17.00/12.21 tff(32436,plain,
% 17.00/12.21 ((~![VarCurr: $i, VarNext: $i] : ((v159(VarNext) <=> v159(VarCurr)) | v179(VarNext) | (~nextState(VarCurr, VarNext)))) | ((v159(constB111) <=> v159(constB110)) | v179(constB111) | (~nextState(constB110, constB111)))),
% 17.00/12.21 inference(quant_inst,[status(thm)],[])).
% 17.00/12.21 tff(32437,plain,
% 17.00/12.21 ((~![VarCurr: $i, VarNext: $i] : ((v159(VarNext) <=> v159(VarCurr)) | v179(VarNext) | (~nextState(VarCurr, VarNext)))) | (~nextState(constB110, constB111)) | v179(constB111) | (v159(constB111) <=> v159(constB110))),
% 17.00/12.21 inference(modus_ponens,[status(thm)],[32436, 32435])).
% 17.00/12.21 tff(32438,plain,
% 17.00/12.21 (v179(constB111) | (v159(constB111) <=> v159(constB110))),
% 17.00/12.21 inference(unit_resolution,[status(thm)],[32437, 15378, 13580])).
% 17.00/12.21 tff(32439,plain,
% 17.00/12.21 (v159(constB111) <=> v159(constB110)),
% 17.00/12.21 inference(unit_resolution,[status(thm)],[32438, 32431])).
% 17.00/12.21 tff(32440,plain,
% 17.00/12.21 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v179(VarNext) <=> v180(VarNext)))) | ((~nextState(constB109, constB110)) | (v179(constB110) <=> v180(constB110)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v179(VarNext) <=> v180(VarNext)))) | (~nextState(constB109, constB110)) | (v179(constB110) <=> v180(constB110)))),
% 17.00/12.21 inference(rewrite,[status(thm)],[])).
% 17.00/12.21 tff(32441,plain,
% 17.00/12.21 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v179(VarNext) <=> v180(VarNext)))) | ((~nextState(constB109, constB110)) | (v179(constB110) <=> v180(constB110)))),
% 17.00/12.21 inference(quant_inst,[status(thm)],[])).
% 17.00/12.21 tff(32442,plain,
% 17.00/12.21 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v179(VarNext) <=> v180(VarNext)))) | (~nextState(constB109, constB110)) | (v179(constB110) <=> v180(constB110))),
% 17.00/12.21 inference(modus_ponens,[status(thm)],[32441, 32440])).
% 17.00/12.21 tff(32443,plain,
% 17.00/12.21 (v179(constB110) <=> v180(constB110)),
% 17.00/12.21 inference(unit_resolution,[status(thm)],[32442, 15410, 13536])).
% 17.00/12.21 tff(32444,plain,
% 17.00/12.21 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> (~((~v181(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB109, constB110)) | (v180(constB110) <=> (~((~v1(constB110)) | (~v181(constB110))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> (~((~v181(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB109, constB110)) | (v180(constB110) <=> (~((~v1(constB110)) | (~v181(constB110))))))),
% 17.00/12.21 inference(rewrite,[status(thm)],[])).
% 17.00/12.21 tff(32445,plain,
% 17.00/12.21 (((~nextState(constB109, constB110)) | (v180(constB110) <=> (~((~v181(constB110)) | (~v1(constB110)))))) <=> ((~nextState(constB109, constB110)) | (v180(constB110) <=> (~((~v1(constB110)) | (~v181(constB110))))))),
% 17.00/12.21 inference(rewrite,[status(thm)],[])).
% 17.00/12.21 tff(32446,plain,
% 17.00/12.21 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> (~((~v181(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB109, constB110)) | (v180(constB110) <=> (~((~v181(constB110)) | (~v1(constB110))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> (~((~v181(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB109, constB110)) | (v180(constB110) <=> (~((~v1(constB110)) | (~v181(constB110)))))))),
% 17.00/12.21 inference(monotonicity,[status(thm)],[32445])).
% 17.00/12.21 tff(32447,plain,
% 17.00/12.21 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> (~((~v181(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB109, constB110)) | (v180(constB110) <=> (~((~v181(constB110)) | (~v1(constB110))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> (~((~v181(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB109, constB110)) | (v180(constB110) <=> (~((~v1(constB110)) | (~v181(constB110))))))),
% 17.00/12.21 inference(transitivity,[status(thm)],[32446, 32444])).
% 17.00/12.21 tff(32448,plain,
% 17.00/12.21 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> (~((~v181(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB109, constB110)) | (v180(constB110) <=> (~((~v181(constB110)) | (~v1(constB110))))))),
% 17.00/12.21 inference(quant_inst,[status(thm)],[])).
% 17.00/12.21 tff(32449,plain,
% 17.00/12.21 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> (~((~v181(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB109, constB110)) | (v180(constB110) <=> (~((~v1(constB110)) | (~v181(constB110)))))),
% 17.00/12.21 inference(modus_ponens,[status(thm)],[32448, 32447])).
% 17.00/12.21 tff(32450,plain,
% 17.00/12.21 (v180(constB110) <=> (~((~v1(constB110)) | (~v181(constB110))))),
% 17.00/12.21 inference(unit_resolution,[status(thm)],[32449, 15410, 13556])).
% 17.00/12.21 tff(32451,plain,
% 17.00/12.21 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v181(VarNext)) <=> v104(VarNext)))) | ((~nextState(constB109, constB110)) | ((~v181(constB110)) <=> v104(constB110)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v181(VarNext)) <=> v104(VarNext)))) | (~nextState(constB109, constB110)) | ((~v181(constB110)) <=> v104(constB110)))),
% 17.00/12.22 inference(rewrite,[status(thm)],[])).
% 17.00/12.22 tff(32452,plain,
% 17.00/12.22 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v181(VarNext)) <=> v104(VarNext)))) | ((~nextState(constB109, constB110)) | ((~v181(constB110)) <=> v104(constB110)))),
% 17.00/12.22 inference(quant_inst,[status(thm)],[])).
% 17.00/12.22 tff(32453,plain,
% 17.00/12.22 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v181(VarNext)) <=> v104(VarNext)))) | (~nextState(constB109, constB110)) | ((~v181(constB110)) <=> v104(constB110))),
% 17.00/12.22 inference(modus_ponens,[status(thm)],[32452, 32451])).
% 17.00/12.22 tff(32454,plain,
% 17.00/12.22 ((~v181(constB110)) <=> v104(constB110)),
% 17.00/12.22 inference(unit_resolution,[status(thm)],[32453, 15410, 13612])).
% 17.00/12.22 tff(32455,plain,
% 17.00/12.22 ((~((~v181(constB110)) <=> v104(constB110))) | v181(constB110) | v104(constB110)),
% 17.00/12.22 inference(tautology,[status(thm)],[])).
% 17.00/12.22 tff(32456,plain,
% 17.00/12.22 (v181(constB110)),
% 17.00/12.22 inference(unit_resolution,[status(thm)],[32455, 15435, 32454])).
% 17.00/12.22 tff(32457,plain,
% 17.00/12.22 ((~((~v1(constB110)) | (~v181(constB110)))) | (~v1(constB110)) | (~v181(constB110))),
% 17.00/12.22 inference(tautology,[status(thm)],[])).
% 17.00/12.22 tff(32458,plain,
% 17.00/12.22 ((~((~v1(constB110)) | (~v181(constB110)))) | (~v181(constB110))),
% 17.00/12.22 inference(unit_resolution,[status(thm)],[32457, 15440])).
% 17.00/12.22 tff(32459,plain,
% 17.00/12.22 (~((~v1(constB110)) | (~v181(constB110)))),
% 17.00/12.22 inference(unit_resolution,[status(thm)],[32458, 32456])).
% 17.00/12.22 tff(32460,plain,
% 17.00/12.22 ((~(v180(constB110) <=> (~((~v1(constB110)) | (~v181(constB110)))))) | v180(constB110) | ((~v1(constB110)) | (~v181(constB110)))),
% 17.00/12.22 inference(tautology,[status(thm)],[])).
% 17.00/12.22 tff(32461,plain,
% 17.00/12.22 (v180(constB110)),
% 17.00/12.22 inference(unit_resolution,[status(thm)],[32460, 32459, 32450])).
% 17.00/12.22 tff(32462,plain,
% 17.00/12.22 ((~(v179(constB110) <=> v180(constB110))) | v179(constB110) | (~v180(constB110))),
% 17.00/12.22 inference(tautology,[status(thm)],[])).
% 17.00/12.22 tff(32463,plain,
% 17.00/12.22 (v179(constB110)),
% 17.00/12.22 inference(unit_resolution,[status(thm)],[32462, 32461, 32443])).
% 17.00/12.22 tff(32464,plain,
% 17.00/12.22 (((~![VarNext: $i] : ((~v179(VarNext)) | (v159(VarNext) <=> v186(VarNext)))) | ((~v179(constB110)) | (v159(constB110) <=> v186(constB110)))) <=> ((~![VarNext: $i] : ((~v179(VarNext)) | (v159(VarNext) <=> v186(VarNext)))) | (~v179(constB110)) | (v159(constB110) <=> v186(constB110)))),
% 17.00/12.22 inference(rewrite,[status(thm)],[])).
% 17.00/12.22 tff(32465,plain,
% 17.00/12.22 ((~![VarNext: $i] : ((~v179(VarNext)) | (v159(VarNext) <=> v186(VarNext)))) | ((~v179(constB110)) | (v159(constB110) <=> v186(constB110)))),
% 17.00/12.22 inference(quant_inst,[status(thm)],[])).
% 17.00/12.22 tff(32466,plain,
% 17.00/12.22 ((~![VarNext: $i] : ((~v179(VarNext)) | (v159(VarNext) <=> v186(VarNext)))) | (~v179(constB110)) | (v159(constB110) <=> v186(constB110))),
% 17.00/12.22 inference(modus_ponens,[status(thm)],[32465, 32464])).
% 17.00/12.22 tff(32467,plain,
% 17.00/12.22 (v159(constB110) <=> v186(constB110)),
% 17.00/12.22 inference(unit_resolution,[status(thm)],[32466, 13648, 32463])).
% 17.00/12.22 tff(32468,plain,
% 17.00/12.22 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v186(VarNext) <=> v161(VarCurr)))) | ((~nextState(constB109, constB110)) | (v186(constB110) <=> v161(constB109)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v186(VarNext) <=> v161(VarCurr)))) | (~nextState(constB109, constB110)) | (v186(constB110) <=> v161(constB109)))),
% 17.00/12.22 inference(rewrite,[status(thm)],[])).
% 17.00/12.22 tff(32469,plain,
% 17.00/12.22 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v186(VarNext) <=> v161(VarCurr)))) | ((~nextState(constB109, constB110)) | (v186(constB110) <=> v161(constB109)))),
% 17.00/12.22 inference(quant_inst,[status(thm)],[])).
% 17.00/12.22 tff(32470,plain,
% 17.00/12.22 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v186(VarNext) <=> v161(VarCurr)))) | (~nextState(constB109, constB110)) | (v186(constB110) <=> v161(constB109))),
% 17.00/12.22 inference(modus_ponens,[status(thm)],[32469, 32468])).
% 17.00/12.22 tff(32471,plain,
% 17.00/12.22 (v186(constB110) <=> v161(constB109)),
% 17.00/12.22 inference(unit_resolution,[status(thm)],[32470, 15410, 13662])).
% 17.00/12.22 tff(32472,plain,
% 17.00/12.22 ((~![VarCurr: $i] : (v161(VarCurr) <=> v163(VarCurr))) | (v161(constB109) <=> v163(constB109))),
% 17.00/12.22 inference(quant_inst,[status(thm)],[])).
% 17.00/12.22 tff(32473,plain,
% 17.00/12.22 (v161(constB109) <=> v163(constB109)),
% 17.00/12.22 inference(unit_resolution,[status(thm)],[32472, 357])).
% 17.00/12.22 tff(32474,plain,
% 17.00/12.22 ((~![VarCurr: $i] : (v171(VarCurr) <=> (v142(VarCurr) | v150(VarCurr)))) | (v171(constB109) <=> (v142(constB109) | v150(constB109)))),
% 17.00/12.22 inference(quant_inst,[status(thm)],[])).
% 17.00/12.22 tff(32475,plain,
% 17.00/12.22 (v171(constB109) <=> (v142(constB109) | v150(constB109))),
% 17.00/12.22 inference(unit_resolution,[status(thm)],[32474, 369])).
% 17.00/12.22 tff(32476,plain,
% 17.00/12.22 ((v142(constB109) | v150(constB109)) | (~v142(constB109))),
% 17.00/12.22 inference(tautology,[status(thm)],[])).
% 17.00/12.22 tff(32477,plain,
% 17.00/12.22 (v142(constB109) | v150(constB109)),
% 17.00/12.22 inference(unit_resolution,[status(thm)],[32476, 32192])).
% 17.00/12.22 tff(32478,plain,
% 17.00/12.22 ((~(v171(constB109) <=> (v142(constB109) | v150(constB109)))) | v171(constB109) | (~(v142(constB109) | v150(constB109)))),
% 17.00/12.22 inference(tautology,[status(thm)],[])).
% 17.00/12.22 tff(32479,plain,
% 17.00/12.22 (v171(constB109)),
% 17.00/12.22 inference(unit_resolution,[status(thm)],[32478, 32477, 32475])).
% 17.00/12.22 tff(32480,plain,
% 17.00/12.22 (((~![VarCurr: $i] : ((~v171(VarCurr)) | (~v170(VarCurr)))) | ((~v170(constB109)) | (~v171(constB109)))) <=> ((~![VarCurr: $i] : ((~v171(VarCurr)) | (~v170(VarCurr)))) | (~v170(constB109)) | (~v171(constB109)))),
% 17.00/12.22 inference(rewrite,[status(thm)],[])).
% 17.00/12.22 tff(32481,plain,
% 17.00/12.22 (((~v171(constB109)) | (~v170(constB109))) <=> ((~v170(constB109)) | (~v171(constB109)))),
% 17.00/12.22 inference(rewrite,[status(thm)],[])).
% 17.00/12.22 tff(32482,plain,
% 17.00/12.22 (((~![VarCurr: $i] : ((~v171(VarCurr)) | (~v170(VarCurr)))) | ((~v171(constB109)) | (~v170(constB109)))) <=> ((~![VarCurr: $i] : ((~v171(VarCurr)) | (~v170(VarCurr)))) | ((~v170(constB109)) | (~v171(constB109))))),
% 17.00/12.22 inference(monotonicity,[status(thm)],[32481])).
% 17.00/12.22 tff(32483,plain,
% 17.00/12.22 (((~![VarCurr: $i] : ((~v171(VarCurr)) | (~v170(VarCurr)))) | ((~v171(constB109)) | (~v170(constB109)))) <=> ((~![VarCurr: $i] : ((~v171(VarCurr)) | (~v170(VarCurr)))) | (~v170(constB109)) | (~v171(constB109)))),
% 17.00/12.22 inference(transitivity,[status(thm)],[32482, 32480])).
% 17.00/12.22 tff(32484,plain,
% 17.00/12.22 ((~![VarCurr: $i] : ((~v171(VarCurr)) | (~v170(VarCurr)))) | ((~v171(constB109)) | (~v170(constB109)))),
% 17.00/12.22 inference(quant_inst,[status(thm)],[])).
% 17.00/12.22 tff(32485,plain,
% 17.00/12.22 ((~![VarCurr: $i] : ((~v171(VarCurr)) | (~v170(VarCurr)))) | (~v170(constB109)) | (~v171(constB109))),
% 17.00/12.22 inference(modus_ponens,[status(thm)],[32484, 32483])).
% 17.00/12.22 tff(32486,plain,
% 17.00/12.22 ((~v170(constB109)) | (~v171(constB109))),
% 17.00/12.22 inference(unit_resolution,[status(thm)],[32485, 13061])).
% 17.00/12.22 tff(32487,plain,
% 17.00/12.22 (~v170(constB109)),
% 17.00/12.22 inference(unit_resolution,[status(thm)],[32486, 32479])).
% 17.00/12.22 tff(32488,plain,
% 17.00/12.22 ((~![VarCurr: $i] : (v166(VarCurr) <=> (v145(VarCurr) | v167(VarCurr)))) | (v166(constB109) <=> (v145(constB109) | v167(constB109)))),
% 17.00/12.22 inference(quant_inst,[status(thm)],[])).
% 17.00/12.22 tff(32489,plain,
% 17.00/12.22 (v166(constB109) <=> (v145(constB109) | v167(constB109))),
% 17.00/12.22 inference(unit_resolution,[status(thm)],[32488, 13079])).
% 17.00/12.22 tff(32490,plain,
% 17.00/12.22 ((~![VarCurr: $i] : (v167(VarCurr) <=> (v142(VarCurr) | v168(VarCurr)))) | (v167(constB109) <=> (v142(constB109) | v168(constB109)))),
% 17.00/12.22 inference(quant_inst,[status(thm)],[])).
% 17.00/12.22 tff(32491,plain,
% 17.00/12.22 (v167(constB109) <=> (v142(constB109) | v168(constB109))),
% 17.00/12.22 inference(unit_resolution,[status(thm)],[32490, 13091])).
% 17.00/12.22 tff(32492,plain,
% 17.00/12.22 ((v142(constB109) | v168(constB109)) | (~v142(constB109))),
% 17.00/12.22 inference(tautology,[status(thm)],[])).
% 17.00/12.22 tff(32493,plain,
% 17.00/12.22 (v142(constB109) | v168(constB109)),
% 17.00/12.22 inference(unit_resolution,[status(thm)],[32492, 32192])).
% 17.00/12.22 tff(32494,plain,
% 17.00/12.22 ((~(v167(constB109) <=> (v142(constB109) | v168(constB109)))) | v167(constB109) | (~(v142(constB109) | v168(constB109)))),
% 17.00/12.22 inference(tautology,[status(thm)],[])).
% 17.00/12.22 tff(32495,plain,
% 17.00/12.22 (v167(constB109)),
% 17.00/12.22 inference(unit_resolution,[status(thm)],[32494, 32493, 32491])).
% 17.00/12.22 tff(32496,plain,
% 17.00/12.22 ((v145(constB109) | v167(constB109)) | (~v167(constB109))),
% 17.00/12.22 inference(tautology,[status(thm)],[])).
% 17.00/12.22 tff(32497,plain,
% 17.00/12.22 (v145(constB109) | v167(constB109)),
% 17.00/12.22 inference(unit_resolution,[status(thm)],[32496, 32495])).
% 17.00/12.22 tff(32498,plain,
% 17.00/12.22 ((~(v166(constB109) <=> (v145(constB109) | v167(constB109)))) | v166(constB109) | (~(v145(constB109) | v167(constB109)))),
% 17.00/12.22 inference(tautology,[status(thm)],[])).
% 17.00/12.22 tff(32499,plain,
% 17.00/12.22 (v166(constB109)),
% 17.00/12.22 inference(unit_resolution,[status(thm)],[32498, 32497, 32489])).
% 17.00/12.22 tff(32500,plain,
% 17.00/12.22 (((~![VarNext: $i] : ((~v166(VarNext)) | (v163(VarNext) <=> v170(VarNext)))) | ((~v166(constB109)) | (v163(constB109) <=> v170(constB109)))) <=> ((~![VarNext: $i] : ((~v166(VarNext)) | (v163(VarNext) <=> v170(VarNext)))) | (~v166(constB109)) | (v163(constB109) <=> v170(constB109)))),
% 17.00/12.22 inference(rewrite,[status(thm)],[])).
% 17.00/12.22 tff(32501,plain,
% 17.00/12.22 ((~![VarNext: $i] : ((~v166(VarNext)) | (v163(VarNext) <=> v170(VarNext)))) | ((~v166(constB109)) | (v163(constB109) <=> v170(constB109)))),
% 17.00/12.22 inference(quant_inst,[status(thm)],[])).
% 17.00/12.22 tff(32502,plain,
% 17.00/12.22 ((~![VarNext: $i] : ((~v166(VarNext)) | (v163(VarNext) <=> v170(VarNext)))) | (~v166(constB109)) | (v163(constB109) <=> v170(constB109))),
% 17.00/12.22 inference(modus_ponens,[status(thm)],[32501, 32500])).
% 17.00/12.22 tff(32503,plain,
% 17.00/12.22 ((~v166(constB109)) | (v163(constB109) <=> v170(constB109))),
% 17.00/12.22 inference(unit_resolution,[status(thm)],[32502, 13111])).
% 17.00/12.22 tff(32504,plain,
% 17.00/12.22 (v163(constB109) <=> v170(constB109)),
% 17.00/12.22 inference(unit_resolution,[status(thm)],[32503, 32499])).
% 17.00/12.22 tff(32505,plain,
% 17.00/12.22 ((~(v163(constB109) <=> v170(constB109))) | (~v163(constB109)) | v170(constB109)),
% 17.00/12.22 inference(tautology,[status(thm)],[])).
% 17.00/12.22 tff(32506,plain,
% 17.00/12.22 (~v163(constB109)),
% 17.00/12.22 inference(unit_resolution,[status(thm)],[32505, 32504, 32487])).
% 17.00/12.22 tff(32507,plain,
% 17.00/12.22 ((~(v161(constB109) <=> v163(constB109))) | (~v161(constB109)) | v163(constB109)),
% 17.00/12.22 inference(tautology,[status(thm)],[])).
% 17.00/12.22 tff(32508,plain,
% 17.00/12.22 (~v161(constB109)),
% 17.00/12.22 inference(unit_resolution,[status(thm)],[32507, 32506, 32473])).
% 17.00/12.22 tff(32509,plain,
% 17.00/12.22 ((~(v186(constB110) <=> v161(constB109))) | (~v186(constB110)) | v161(constB109)),
% 17.00/12.22 inference(tautology,[status(thm)],[])).
% 17.00/12.22 tff(32510,plain,
% 17.00/12.22 (~v186(constB110)),
% 17.00/12.22 inference(unit_resolution,[status(thm)],[32509, 32508, 32471])).
% 17.00/12.22 tff(32511,plain,
% 17.00/12.22 ((~(v159(constB110) <=> v186(constB110))) | (~v159(constB110)) | v186(constB110)),
% 17.00/12.22 inference(tautology,[status(thm)],[])).
% 17.00/12.22 tff(32512,plain,
% 17.00/12.22 (~v159(constB110)),
% 17.00/12.22 inference(unit_resolution,[status(thm)],[32511, 32510, 32467])).
% 17.00/12.22 tff(32513,plain,
% 17.00/12.22 ((~(v159(constB111) <=> v159(constB110))) | (~v159(constB111)) | v159(constB110)),
% 17.00/12.22 inference(tautology,[status(thm)],[])).
% 17.00/12.22 tff(32514,plain,
% 17.00/12.22 (~v159(constB111)),
% 17.00/12.22 inference(unit_resolution,[status(thm)],[32513, 32512, 32439])).
% 17.00/12.22 tff(32515,plain,
% 17.00/12.22 (((~v159(constB111)) | (~v161(constB111))) | v159(constB111)),
% 17.00/12.22 inference(tautology,[status(thm)],[])).
% 17.00/12.22 tff(32516,plain,
% 17.00/12.22 ((~v159(constB111)) | (~v161(constB111))),
% 17.00/12.22 inference(unit_resolution,[status(thm)],[32515, 32514])).
% 17.00/12.22 tff(32517,plain,
% 17.00/12.22 ((~(v201(constB111) <=> (~((~v159(constB111)) | (~v161(constB111)))))) | (~v201(constB111)) | (~((~v159(constB111)) | (~v161(constB111))))),
% 17.00/12.22 inference(tautology,[status(thm)],[])).
% 17.00/12.22 tff(32518,plain,
% 17.00/12.22 (~v201(constB111)),
% 17.00/12.22 inference(unit_resolution,[status(thm)],[32517, 32516, 32413])).
% 17.00/12.22 tff(32519,plain,
% 17.00/12.22 (((~v197(constB111)) | (~v201(constB111))) | v201(constB111)),
% 17.00/12.22 inference(tautology,[status(thm)],[])).
% 17.00/12.22 tff(32520,plain,
% 17.00/12.22 ((~v197(constB111)) | (~v201(constB111))),
% 17.00/12.22 inference(unit_resolution,[status(thm)],[32519, 32518])).
% 17.00/12.22 tff(32521,plain,
% 17.00/12.22 ((~(v200(constB111) <=> (~((~v197(constB111)) | (~v201(constB111)))))) | (~v200(constB111)) | (~((~v197(constB111)) | (~v201(constB111))))),
% 17.00/12.22 inference(tautology,[status(thm)],[])).
% 17.00/12.22 tff(32522,plain,
% 17.00/12.22 (~v200(constB111)),
% 17.00/12.22 inference(unit_resolution,[status(thm)],[32521, 32520, 32411])).
% 17.00/12.22 tff(32523,plain,
% 17.00/12.22 (((~v199(constB111)) | (~v200(constB111))) | v200(constB111)),
% 17.00/12.22 inference(tautology,[status(thm)],[])).
% 17.00/12.22 tff(32524,plain,
% 17.00/12.22 ((~v199(constB111)) | (~v200(constB111))),
% 17.00/12.22 inference(unit_resolution,[status(thm)],[32523, 32522])).
% 17.00/12.22 tff(32525,plain,
% 17.00/12.22 ((~(v198(constB111) <=> (~((~v199(constB111)) | (~v200(constB111)))))) | (~v198(constB111)) | (~((~v199(constB111)) | (~v200(constB111))))),
% 17.00/12.22 inference(tautology,[status(thm)],[])).
% 17.00/12.22 tff(32526,plain,
% 17.00/12.22 (~v198(constB111)),
% 17.00/12.22 inference(unit_resolution,[status(thm)],[32525, 32524, 32409])).
% 17.00/12.22 tff(32527,plain,
% 17.00/12.22 ((~(v194(constB111) | v198(constB111))) | v194(constB111) | v198(constB111)),
% 17.00/12.22 inference(tautology,[status(thm)],[])).
% 17.00/12.22 tff(32528,plain,
% 17.00/12.22 (~(v194(constB111) | v198(constB111))),
% 17.00/12.22 inference(unit_resolution,[status(thm)],[32527, 32526, 32407])).
% 17.00/12.22 tff(32529,plain,
% 17.00/12.22 ((~(v191(constB111) <=> (v194(constB111) | v198(constB111)))) | (~v191(constB111)) | (v194(constB111) | v198(constB111))),
% 17.00/12.22 inference(tautology,[status(thm)],[])).
% 17.00/12.22 tff(32530,plain,
% 17.00/12.22 (~v191(constB111)),
% 17.00/12.22 inference(unit_resolution,[status(thm)],[32529, 32528, 32334])).
% 17.00/12.22 tff(32531,plain,
% 17.00/12.22 ((~(v193(constB112) <=> v191(constB111))) | (~v193(constB112)) | v191(constB111)),
% 17.00/12.22 inference(tautology,[status(thm)],[])).
% 17.00/12.22 tff(32532,plain,
% 17.00/12.22 (~v193(constB112)),
% 17.00/12.22 inference(unit_resolution,[status(thm)],[32531, 32530, 32332])).
% 17.00/12.22 tff(32533,plain,
% 17.00/12.22 ((~(v157(constB112) <=> v193(constB112))) | (~v157(constB112)) | v193(constB112)),
% 17.00/12.22 inference(tautology,[status(thm)],[])).
% 17.00/12.22 tff(32534,plain,
% 17.00/12.22 (~v157(constB112)),
% 17.00/12.22 inference(unit_resolution,[status(thm)],[32533, 32532, 32328])).
% 17.00/12.22 tff(32535,plain,
% 17.00/12.22 (((~v157(constB112)) | (~v195(constB112))) | v157(constB112)),
% 17.00/12.22 inference(tautology,[status(thm)],[])).
% 17.00/12.22 tff(32536,plain,
% 17.00/12.22 ((~v157(constB112)) | (~v195(constB112))),
% 17.00/12.22 inference(unit_resolution,[status(thm)],[32535, 32534])).
% 17.00/12.22 tff(32537,plain,
% 17.00/12.22 ((~(v194(constB112) <=> (~((~v157(constB112)) | (~v195(constB112)))))) | (~v194(constB112)) | (~((~v157(constB112)) | (~v195(constB112))))),
% 17.00/12.22 inference(tautology,[status(thm)],[])).
% 17.00/12.22 tff(32538,plain,
% 17.00/12.22 (~v194(constB112)),
% 17.00/12.22 inference(unit_resolution,[status(thm)],[32537, 32536, 32326])).
% 17.00/12.22 tff(32539,plain,
% 17.00/12.22 ((~(v194(constB112) | v198(constB112))) | v194(constB112) | v198(constB112)),
% 17.00/12.22 inference(tautology,[status(thm)],[])).
% 17.00/12.22 tff(32540,plain,
% 17.00/12.22 (~(v194(constB112) | v198(constB112))),
% 17.00/12.22 inference(unit_resolution,[status(thm)],[32539, 32538, 32319])).
% 17.00/12.22 tff(32541,plain,
% 17.00/12.22 ((~(v191(constB112) <=> (v194(constB112) | v198(constB112)))) | (~v191(constB112)) | (v194(constB112) | v198(constB112))),
% 17.00/12.22 inference(tautology,[status(thm)],[])).
% 17.00/12.22 tff(32542,plain,
% 17.00/12.22 (~v191(constB112)),
% 17.00/12.22 inference(unit_resolution,[status(thm)],[32541, 32540, 32294])).
% 17.00/12.22 tff(32543,plain,
% 17.00/12.22 ((~(v193(constB113) <=> v191(constB112))) | (~v193(constB113)) | v191(constB112)),
% 17.00/12.22 inference(tautology,[status(thm)],[])).
% 17.00/12.22 tff(32544,plain,
% 17.00/12.22 (~v193(constB113)),
% 17.00/12.22 inference(unit_resolution,[status(thm)],[32543, 32542, 32292])).
% 17.00/12.22 tff(32545,plain,
% 17.00/12.22 ($false),
% 17.00/12.22 inference(unit_resolution,[status(thm)],[32544, 32288])).
% 17.00/12.22 tff(32546,plain,(~(constB113 = VarCurr!0)), inference(lemma,lemma(discharge,[]))).
% 17.00/12.22 tff(32547,assumption,(constB149 = VarCurr!0), introduced(assumption)).
% 17.00/12.22 tff(32548,plain,
% 17.00/12.22 (v86(constB149) <=> v86(VarCurr!0)),
% 17.00/12.22 inference(monotonicity,[status(thm)],[32547])).
% 17.00/12.22 tff(32549,plain,
% 17.00/12.22 (v86(VarCurr!0) <=> v86(constB149)),
% 17.00/12.22 inference(symmetry,[status(thm)],[32548])).
% 17.00/12.22 tff(32550,plain,
% 17.00/12.22 ((~v86(VarCurr!0)) <=> (~v86(constB149))),
% 17.00/12.22 inference(monotonicity,[status(thm)],[32549])).
% 17.00/12.22 tff(32551,plain,
% 17.00/12.22 (~v86(constB149)),
% 17.00/12.22 inference(modus_ponens,[status(thm)],[20649, 32550])).
% 17.00/12.22 tff(32552,plain,
% 17.00/12.22 ((~![VarCurr: $i] : (v142(VarCurr) <=> (v143(VarCurr) | v144(VarCurr)))) | (v142(constB149) <=> (v143(constB149) | v144(constB149)))),
% 17.00/12.22 inference(quant_inst,[status(thm)],[])).
% 17.00/12.22 tff(32553,plain,
% 17.00/12.22 (v142(constB149) <=> (v143(constB149) | v144(constB149))),
% 17.00/12.22 inference(unit_resolution,[status(thm)],[32552, 378])).
% 17.00/12.22 tff(32554,plain,
% 17.00/12.22 (((~![VarCurr: $i] : (v143(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)))))) | (v143(constB149) <=> (~(v88(constB149, bitIndex2) | (~v88(constB149, bitIndex1)) | v88(constB149, bitIndex0))))) <=> ((~![VarCurr: $i] : (v143(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)))))) | (v143(constB149) <=> (~(v88(constB149, bitIndex2) | (~v88(constB149, bitIndex1)) | v88(constB149, bitIndex0)))))),
% 17.00/12.23 inference(rewrite,[status(thm)],[])).
% 17.00/12.23 tff(32555,plain,
% 17.00/12.23 ((v143(constB149) <=> (~(v88(constB149, bitIndex0) | v88(constB149, bitIndex2) | (~v88(constB149, bitIndex1))))) <=> (v143(constB149) <=> (~(v88(constB149, bitIndex2) | (~v88(constB149, bitIndex1)) | v88(constB149, bitIndex0))))),
% 17.00/12.23 inference(rewrite,[status(thm)],[])).
% 17.00/12.23 tff(32556,plain,
% 17.00/12.23 (((~![VarCurr: $i] : (v143(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)))))) | (v143(constB149) <=> (~(v88(constB149, bitIndex0) | v88(constB149, bitIndex2) | (~v88(constB149, bitIndex1)))))) <=> ((~![VarCurr: $i] : (v143(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)))))) | (v143(constB149) <=> (~(v88(constB149, bitIndex2) | (~v88(constB149, bitIndex1)) | v88(constB149, bitIndex0)))))),
% 17.00/12.23 inference(monotonicity,[status(thm)],[32555])).
% 17.00/12.23 tff(32557,plain,
% 17.00/12.23 (((~![VarCurr: $i] : (v143(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)))))) | (v143(constB149) <=> (~(v88(constB149, bitIndex0) | v88(constB149, bitIndex2) | (~v88(constB149, bitIndex1)))))) <=> ((~![VarCurr: $i] : (v143(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)))))) | (v143(constB149) <=> (~(v88(constB149, bitIndex2) | (~v88(constB149, bitIndex1)) | v88(constB149, bitIndex0)))))),
% 17.00/12.23 inference(transitivity,[status(thm)],[32556, 32554])).
% 17.00/12.23 tff(32558,plain,
% 17.00/12.23 ((~![VarCurr: $i] : (v143(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)))))) | (v143(constB149) <=> (~(v88(constB149, bitIndex0) | v88(constB149, bitIndex2) | (~v88(constB149, bitIndex1)))))),
% 17.00/12.23 inference(quant_inst,[status(thm)],[])).
% 17.00/12.23 tff(32559,plain,
% 17.00/12.23 ((~![VarCurr: $i] : (v143(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)))))) | (v143(constB149) <=> (~(v88(constB149, bitIndex2) | (~v88(constB149, bitIndex1)) | v88(constB149, bitIndex0))))),
% 17.00/12.23 inference(modus_ponens,[status(thm)],[32558, 32557])).
% 17.00/12.23 tff(32560,plain,
% 17.00/12.23 (v143(constB149) <=> (~(v88(constB149, bitIndex2) | (~v88(constB149, bitIndex1)) | v88(constB149, bitIndex0)))),
% 17.00/12.23 inference(unit_resolution,[status(thm)],[32559, 20665])).
% 17.00/12.23 tff(32561,plain,
% 17.00/12.23 (((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | ((~less_3(bitIndex2)) | (v88(constB149, bitIndex2) <=> v90(constB149, bitIndex2)))) <=> ((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | (~less_3(bitIndex2)) | (v88(constB149, bitIndex2) <=> v90(constB149, bitIndex2)))),
% 17.00/12.23 inference(rewrite,[status(thm)],[])).
% 17.00/12.23 tff(32562,plain,
% 17.00/12.23 ((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | ((~less_3(bitIndex2)) | (v88(constB149, bitIndex2) <=> v90(constB149, bitIndex2)))),
% 17.00/12.23 inference(quant_inst,[status(thm)],[])).
% 17.00/12.23 tff(32563,plain,
% 17.00/12.23 ((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | (~less_3(bitIndex2)) | (v88(constB149, bitIndex2) <=> v90(constB149, bitIndex2))),
% 17.00/12.23 inference(modus_ponens,[status(thm)],[32562, 32561])).
% 17.00/12.23 tff(32564,plain,
% 17.00/12.23 (v88(constB149, bitIndex2) <=> v90(constB149, bitIndex2)),
% 17.00/12.23 inference(unit_resolution,[status(thm)],[32563, 413, 410])).
% 17.00/12.23 tff(32565,plain,
% 17.00/12.23 ((~(v88(constB149, bitIndex2) <=> v90(constB149, bitIndex2))) | (~v88(constB149, bitIndex2)) | v90(constB149, bitIndex2)),
% 17.00/12.23 inference(tautology,[status(thm)],[])).
% 17.00/12.23 tff(32566,plain,
% 17.00/12.23 (~v88(constB149, bitIndex2)),
% 17.00/12.23 inference(unit_resolution,[status(thm)],[32565, 21771, 32564])).
% 17.00/12.23 tff(32567,plain,
% 17.00/12.23 (((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | ((~less_3(bitIndex0)) | (v88(constB149, bitIndex0) <=> v90(constB149, bitIndex0)))) <=> ((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | (~less_3(bitIndex0)) | (v88(constB149, bitIndex0) <=> v90(constB149, bitIndex0)))),
% 17.00/12.23 inference(rewrite,[status(thm)],[])).
% 17.00/12.23 tff(32568,plain,
% 17.00/12.23 ((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | ((~less_3(bitIndex0)) | (v88(constB149, bitIndex0) <=> v90(constB149, bitIndex0)))),
% 17.00/12.23 inference(quant_inst,[status(thm)],[])).
% 17.00/12.23 tff(32569,plain,
% 17.00/12.23 ((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | (~less_3(bitIndex0)) | (v88(constB149, bitIndex0) <=> v90(constB149, bitIndex0))),
% 17.00/12.23 inference(modus_ponens,[status(thm)],[32568, 32567])).
% 17.00/12.23 tff(32570,plain,
% 17.00/12.23 (v88(constB149, bitIndex0) <=> v90(constB149, bitIndex0)),
% 17.00/12.23 inference(unit_resolution,[status(thm)],[32569, 5004, 410])).
% 17.00/12.23 tff(32571,plain,
% 17.00/12.23 ((~(v88(constB149, bitIndex0) <=> v90(constB149, bitIndex0))) | (~v88(constB149, bitIndex0)) | v90(constB149, bitIndex0)),
% 17.00/12.23 inference(tautology,[status(thm)],[])).
% 17.00/12.23 tff(32572,plain,
% 17.00/12.23 (~v88(constB149, bitIndex0)),
% 17.00/12.23 inference(unit_resolution,[status(thm)],[32571, 21802, 32570])).
% 17.00/12.23 tff(32573,plain,
% 17.00/12.23 (((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | ((~less_3(bitIndex1)) | (v88(constB149, bitIndex1) <=> v90(constB149, bitIndex1)))) <=> ((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | (~less_3(bitIndex1)) | (v88(constB149, bitIndex1) <=> v90(constB149, bitIndex1)))),
% 17.00/12.23 inference(rewrite,[status(thm)],[])).
% 17.00/12.23 tff(32574,plain,
% 17.00/12.23 ((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | ((~less_3(bitIndex1)) | (v88(constB149, bitIndex1) <=> v90(constB149, bitIndex1)))),
% 17.00/12.23 inference(quant_inst,[status(thm)],[])).
% 17.00/12.23 tff(32575,plain,
% 17.00/12.23 ((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | (~less_3(bitIndex1)) | (v88(constB149, bitIndex1) <=> v90(constB149, bitIndex1))),
% 17.00/12.23 inference(modus_ponens,[status(thm)],[32574, 32573])).
% 17.00/12.23 tff(32576,plain,
% 17.00/12.23 (v88(constB149, bitIndex1) <=> v90(constB149, bitIndex1)),
% 17.00/12.23 inference(unit_resolution,[status(thm)],[32575, 5017, 410])).
% 17.00/12.23 tff(32577,plain,
% 17.00/12.23 ((~(v88(constB149, bitIndex1) <=> v90(constB149, bitIndex1))) | v88(constB149, bitIndex1) | (~v90(constB149, bitIndex1))),
% 17.00/12.23 inference(tautology,[status(thm)],[])).
% 17.00/12.23 tff(32578,plain,
% 17.00/12.23 (v88(constB149, bitIndex1)),
% 17.00/12.23 inference(unit_resolution,[status(thm)],[32577, 21833, 32576])).
% 17.00/12.23 tff(32579,plain,
% 17.00/12.23 ((~(v88(constB149, bitIndex2) | (~v88(constB149, bitIndex1)) | v88(constB149, bitIndex0))) | v88(constB149, bitIndex2) | (~v88(constB149, bitIndex1)) | v88(constB149, bitIndex0)),
% 17.00/12.23 inference(tautology,[status(thm)],[])).
% 17.00/12.23 tff(32580,plain,
% 17.00/12.23 (~(v88(constB149, bitIndex2) | (~v88(constB149, bitIndex1)) | v88(constB149, bitIndex0))),
% 17.00/12.23 inference(unit_resolution,[status(thm)],[32579, 32578, 32572, 32566])).
% 17.00/12.23 tff(32581,plain,
% 17.00/12.23 ((~(v143(constB149) <=> (~(v88(constB149, bitIndex2) | (~v88(constB149, bitIndex1)) | v88(constB149, bitIndex0))))) | v143(constB149) | (v88(constB149, bitIndex2) | (~v88(constB149, bitIndex1)) | v88(constB149, bitIndex0))),
% 17.00/12.23 inference(tautology,[status(thm)],[])).
% 17.00/12.23 tff(32582,plain,
% 17.00/12.23 (v143(constB149)),
% 17.00/12.23 inference(unit_resolution,[status(thm)],[32581, 32580, 32560])).
% 17.00/12.23 tff(32583,plain,
% 17.00/12.23 ((v143(constB149) | v144(constB149)) | (~v143(constB149))),
% 17.00/12.23 inference(tautology,[status(thm)],[])).
% 17.00/12.23 tff(32584,plain,
% 17.00/12.23 (v143(constB149) | v144(constB149)),
% 17.00/12.23 inference(unit_resolution,[status(thm)],[32583, 32582])).
% 17.00/12.23 tff(32585,plain,
% 17.00/12.23 ((~(v142(constB149) <=> (v143(constB149) | v144(constB149)))) | v142(constB149) | (~(v143(constB149) | v144(constB149)))),
% 17.00/12.23 inference(tautology,[status(thm)],[])).
% 17.00/12.23 tff(32586,plain,
% 17.00/12.23 (v142(constB149)),
% 17.00/12.23 inference(unit_resolution,[status(thm)],[32585, 32584, 32553])).
% 17.00/12.23 tff(32587,plain,
% 17.00/12.23 (((~![VarCurr: $i] : (v148(VarCurr) | (~v142(VarCurr)))) | (v148(constB149) | (~v142(constB149)))) <=> ((~![VarCurr: $i] : (v148(VarCurr) | (~v142(VarCurr)))) | v148(constB149) | (~v142(constB149)))),
% 17.00/12.23 inference(rewrite,[status(thm)],[])).
% 17.00/12.23 tff(32588,plain,
% 17.00/12.23 ((~![VarCurr: $i] : (v148(VarCurr) | (~v142(VarCurr)))) | (v148(constB149) | (~v142(constB149)))),
% 17.00/12.23 inference(quant_inst,[status(thm)],[])).
% 17.00/12.23 tff(32589,plain,
% 17.00/12.23 ((~![VarCurr: $i] : (v148(VarCurr) | (~v142(VarCurr)))) | v148(constB149) | (~v142(constB149))),
% 17.00/12.23 inference(modus_ponens,[status(thm)],[32588, 32587])).
% 17.00/12.23 tff(32590,plain,
% 17.00/12.23 (v148(constB149) | (~v142(constB149))),
% 17.00/12.23 inference(unit_resolution,[status(thm)],[32589, 23525])).
% 17.00/12.23 tff(32591,plain,
% 17.00/12.23 (v148(constB149)),
% 17.00/12.23 inference(unit_resolution,[status(thm)],[32590, 32586])).
% 17.00/12.23 tff(32592,plain,
% 17.00/12.23 ((~![VarCurr: $i] : (v135(VarCurr) <=> (v136(VarCurr) | v145(VarCurr)))) | (v135(constB149) <=> (v136(constB149) | v145(constB149)))),
% 17.00/12.23 inference(quant_inst,[status(thm)],[])).
% 17.00/12.23 tff(32593,plain,
% 17.00/12.23 (v135(constB149) <=> (v136(constB149) | v145(constB149))),
% 17.00/12.23 inference(unit_resolution,[status(thm)],[32592, 23537])).
% 17.00/12.23 tff(32594,plain,
% 17.00/12.23 ((~![VarCurr: $i] : (v136(VarCurr) <=> (v137(VarCurr) | v142(VarCurr)))) | (v136(constB149) <=> (v137(constB149) | v142(constB149)))),
% 17.00/12.23 inference(quant_inst,[status(thm)],[])).
% 17.00/12.23 tff(32595,plain,
% 17.00/12.23 (v136(constB149) <=> (v137(constB149) | v142(constB149))),
% 17.00/12.23 inference(unit_resolution,[status(thm)],[32594, 23546])).
% 17.00/12.23 tff(32596,plain,
% 17.00/12.23 ((v137(constB149) | v142(constB149)) | (~v142(constB149))),
% 17.00/12.23 inference(tautology,[status(thm)],[])).
% 17.00/12.23 tff(32597,plain,
% 17.00/12.23 (v137(constB149) | v142(constB149)),
% 17.00/12.23 inference(unit_resolution,[status(thm)],[32596, 32586])).
% 17.00/12.23 tff(32598,plain,
% 17.00/12.23 ((~(v136(constB149) <=> (v137(constB149) | v142(constB149)))) | v136(constB149) | (~(v137(constB149) | v142(constB149)))),
% 17.00/12.23 inference(tautology,[status(thm)],[])).
% 17.00/12.23 tff(32599,plain,
% 17.00/12.23 (v136(constB149)),
% 17.00/12.23 inference(unit_resolution,[status(thm)],[32598, 32597, 32595])).
% 17.00/12.23 tff(32600,plain,
% 17.00/12.23 ((v136(constB149) | v145(constB149)) | (~v136(constB149))),
% 17.00/12.23 inference(tautology,[status(thm)],[])).
% 17.00/12.23 tff(32601,plain,
% 17.00/12.23 (v136(constB149) | v145(constB149)),
% 17.00/12.23 inference(unit_resolution,[status(thm)],[32600, 32599])).
% 17.00/12.23 tff(32602,plain,
% 17.00/12.23 ((~(v135(constB149) <=> (v136(constB149) | v145(constB149)))) | v135(constB149) | (~(v136(constB149) | v145(constB149)))),
% 17.00/12.23 inference(tautology,[status(thm)],[])).
% 17.00/12.23 tff(32603,plain,
% 17.00/12.23 (v135(constB149)),
% 17.00/12.23 inference(unit_resolution,[status(thm)],[32602, 32601, 32593])).
% 17.00/12.23 tff(32604,plain,
% 17.00/12.23 (((~![VarNext: $i] : ((~v135(VarNext)) | (v86(VarNext) <=> v148(VarNext)))) | ((~v135(constB149)) | (v86(constB149) <=> v148(constB149)))) <=> ((~![VarNext: $i] : ((~v135(VarNext)) | (v86(VarNext) <=> v148(VarNext)))) | (~v135(constB149)) | (v86(constB149) <=> v148(constB149)))),
% 17.00/12.23 inference(rewrite,[status(thm)],[])).
% 17.00/12.23 tff(32605,plain,
% 17.00/12.23 ((~![VarNext: $i] : ((~v135(VarNext)) | (v86(VarNext) <=> v148(VarNext)))) | ((~v135(constB149)) | (v86(constB149) <=> v148(constB149)))),
% 17.00/12.23 inference(quant_inst,[status(thm)],[])).
% 17.00/12.23 tff(32606,plain,
% 17.00/12.23 ((~![VarNext: $i] : ((~v135(VarNext)) | (v86(VarNext) <=> v148(VarNext)))) | (~v135(constB149)) | (v86(constB149) <=> v148(constB149))),
% 17.00/12.23 inference(modus_ponens,[status(thm)],[32605, 32604])).
% 17.00/12.23 tff(32607,plain,
% 17.00/12.23 ((~v135(constB149)) | (v86(constB149) <=> v148(constB149))),
% 17.00/12.23 inference(unit_resolution,[status(thm)],[32606, 23566])).
% 17.00/12.23 tff(32608,plain,
% 17.00/12.23 (v86(constB149) <=> v148(constB149)),
% 17.00/12.23 inference(unit_resolution,[status(thm)],[32607, 32603])).
% 17.00/12.23 tff(32609,plain,
% 17.00/12.23 ((~(v86(constB149) <=> v148(constB149))) | v86(constB149) | (~v148(constB149))),
% 17.00/12.23 inference(tautology,[status(thm)],[])).
% 17.00/12.23 tff(32610,plain,
% 17.00/12.23 (v86(constB149)),
% 17.00/12.23 inference(unit_resolution,[status(thm)],[32609, 32608, 32591])).
% 17.00/12.23 tff(32611,plain,
% 17.00/12.23 ($false),
% 17.00/12.23 inference(unit_resolution,[status(thm)],[32610, 32551])).
% 17.00/12.23 tff(32612,plain,(~(constB149 = VarCurr!0)), inference(lemma,lemma(discharge,[]))).
% 17.00/12.23 tff(32613,assumption,(constB35 = VarCurr!0), introduced(assumption)).
% 17.00/12.23 tff(32614,plain,
% 17.00/12.23 (v86(constB35) <=> v86(VarCurr!0)),
% 17.00/12.23 inference(monotonicity,[status(thm)],[32613])).
% 17.00/12.23 tff(32615,plain,
% 17.00/12.23 (v86(VarCurr!0) <=> v86(constB35)),
% 17.00/12.23 inference(symmetry,[status(thm)],[32614])).
% 17.00/12.23 tff(32616,plain,
% 17.00/12.23 ((~v86(VarCurr!0)) <=> (~v86(constB35))),
% 17.00/12.23 inference(monotonicity,[status(thm)],[32615])).
% 17.00/12.23 tff(32617,plain,
% 17.00/12.23 (~v86(constB35)),
% 17.00/12.23 inference(modus_ponens,[status(thm)],[20649, 32616])).
% 17.00/12.23 tff(32618,plain,
% 17.00/12.23 (((~![VarCurr: $i] : (v148(VarCurr) | (~v142(VarCurr)))) | (v148(constB35) | (~v142(constB35)))) <=> ((~![VarCurr: $i] : (v148(VarCurr) | (~v142(VarCurr)))) | v148(constB35) | (~v142(constB35)))),
% 17.00/12.23 inference(rewrite,[status(thm)],[])).
% 17.00/12.23 tff(32619,plain,
% 17.00/12.23 ((~![VarCurr: $i] : (v148(VarCurr) | (~v142(VarCurr)))) | (v148(constB35) | (~v142(constB35)))),
% 17.00/12.23 inference(quant_inst,[status(thm)],[])).
% 17.00/12.23 tff(32620,plain,
% 17.00/12.23 ((~![VarCurr: $i] : (v148(VarCurr) | (~v142(VarCurr)))) | v148(constB35) | (~v142(constB35))),
% 17.00/12.23 inference(modus_ponens,[status(thm)],[32619, 32618])).
% 17.00/12.23 tff(32621,plain,
% 17.00/12.23 (v148(constB35) | (~v142(constB35))),
% 17.00/12.23 inference(unit_resolution,[status(thm)],[32620, 23525])).
% 17.00/12.23 tff(32622,plain,
% 17.00/12.23 (v148(constB35)),
% 17.00/12.23 inference(unit_resolution,[status(thm)],[32621, 13320])).
% 17.00/12.23 tff(32623,plain,
% 17.00/12.23 ((~![VarCurr: $i] : (v135(VarCurr) <=> (v136(VarCurr) | v145(VarCurr)))) | (v135(constB35) <=> (v136(constB35) | v145(constB35)))),
% 17.00/12.23 inference(quant_inst,[status(thm)],[])).
% 17.00/12.23 tff(32624,plain,
% 17.00/12.23 (v135(constB35) <=> (v136(constB35) | v145(constB35))),
% 17.00/12.23 inference(unit_resolution,[status(thm)],[32623, 23537])).
% 17.00/12.23 tff(32625,plain,
% 17.00/12.23 ((~![VarCurr: $i] : (v136(VarCurr) <=> (v137(VarCurr) | v142(VarCurr)))) | (v136(constB35) <=> (v137(constB35) | v142(constB35)))),
% 17.00/12.23 inference(quant_inst,[status(thm)],[])).
% 17.00/12.23 tff(32626,plain,
% 17.00/12.23 (v136(constB35) <=> (v137(constB35) | v142(constB35))),
% 17.00/12.23 inference(unit_resolution,[status(thm)],[32625, 23546])).
% 17.00/12.23 tff(32627,plain,
% 17.00/12.23 ((v137(constB35) | v142(constB35)) | (~v142(constB35))),
% 17.00/12.23 inference(tautology,[status(thm)],[])).
% 17.00/12.23 tff(32628,plain,
% 17.00/12.23 (v137(constB35) | v142(constB35)),
% 17.00/12.23 inference(unit_resolution,[status(thm)],[32627, 13320])).
% 17.00/12.23 tff(32629,plain,
% 17.00/12.23 ((~(v136(constB35) <=> (v137(constB35) | v142(constB35)))) | v136(constB35) | (~(v137(constB35) | v142(constB35)))),
% 17.00/12.23 inference(tautology,[status(thm)],[])).
% 17.00/12.23 tff(32630,plain,
% 17.00/12.23 (v136(constB35)),
% 17.00/12.23 inference(unit_resolution,[status(thm)],[32629, 32628, 32626])).
% 17.00/12.23 tff(32631,plain,
% 17.00/12.23 ((v136(constB35) | v145(constB35)) | (~v136(constB35))),
% 17.00/12.23 inference(tautology,[status(thm)],[])).
% 17.00/12.23 tff(32632,plain,
% 17.00/12.23 (v136(constB35) | v145(constB35)),
% 17.00/12.23 inference(unit_resolution,[status(thm)],[32631, 32630])).
% 17.00/12.23 tff(32633,plain,
% 17.00/12.23 ((~(v135(constB35) <=> (v136(constB35) | v145(constB35)))) | v135(constB35) | (~(v136(constB35) | v145(constB35)))),
% 17.00/12.23 inference(tautology,[status(thm)],[])).
% 17.00/12.23 tff(32634,plain,
% 17.00/12.23 (v135(constB35)),
% 17.00/12.23 inference(unit_resolution,[status(thm)],[32633, 32632, 32624])).
% 17.00/12.23 tff(32635,plain,
% 17.00/12.23 (((~![VarNext: $i] : ((~v135(VarNext)) | (v86(VarNext) <=> v148(VarNext)))) | ((~v135(constB35)) | (v86(constB35) <=> v148(constB35)))) <=> ((~![VarNext: $i] : ((~v135(VarNext)) | (v86(VarNext) <=> v148(VarNext)))) | (~v135(constB35)) | (v86(constB35) <=> v148(constB35)))),
% 17.00/12.23 inference(rewrite,[status(thm)],[])).
% 17.00/12.23 tff(32636,plain,
% 17.00/12.23 ((~![VarNext: $i] : ((~v135(VarNext)) | (v86(VarNext) <=> v148(VarNext)))) | ((~v135(constB35)) | (v86(constB35) <=> v148(constB35)))),
% 17.00/12.23 inference(quant_inst,[status(thm)],[])).
% 17.00/12.23 tff(32637,plain,
% 17.00/12.23 ((~![VarNext: $i] : ((~v135(VarNext)) | (v86(VarNext) <=> v148(VarNext)))) | (~v135(constB35)) | (v86(constB35) <=> v148(constB35))),
% 17.00/12.23 inference(modus_ponens,[status(thm)],[32636, 32635])).
% 17.00/12.23 tff(32638,plain,
% 17.00/12.23 ((~v135(constB35)) | (v86(constB35) <=> v148(constB35))),
% 17.00/12.23 inference(unit_resolution,[status(thm)],[32637, 23566])).
% 17.00/12.23 tff(32639,plain,
% 17.00/12.23 (v86(constB35) <=> v148(constB35)),
% 17.00/12.23 inference(unit_resolution,[status(thm)],[32638, 32634])).
% 17.00/12.23 tff(32640,plain,
% 17.00/12.23 ((~(v86(constB35) <=> v148(constB35))) | v86(constB35) | (~v148(constB35))),
% 17.00/12.23 inference(tautology,[status(thm)],[])).
% 17.00/12.23 tff(32641,plain,
% 17.00/12.23 (v86(constB35)),
% 17.00/12.23 inference(unit_resolution,[status(thm)],[32640, 32639, 32622])).
% 17.00/12.23 tff(32642,plain,
% 17.00/12.23 ($false),
% 17.00/12.23 inference(unit_resolution,[status(thm)],[32641, 32617])).
% 17.00/12.23 tff(32643,plain,(~(constB35 = VarCurr!0)), inference(lemma,lemma(discharge,[]))).
% 17.00/12.23 tff(32644,assumption,(constB7 = VarCurr!0), introduced(assumption)).
% 17.00/12.23 tff(32645,plain,
% 17.00/12.23 (v193(constB7) <=> v193(VarCurr!0)),
% 17.00/12.23 inference(monotonicity,[status(thm)],[32644])).
% 17.00/12.23 tff(32646,plain,
% 17.00/12.23 (v193(VarCurr!0) <=> v193(constB7)),
% 17.00/12.23 inference(symmetry,[status(thm)],[32645])).
% 17.00/12.23 tff(32647,plain,
% 17.00/12.23 (v193(constB7)),
% 17.00/12.23 inference(modus_ponens,[status(thm)],[59, 32646])).
% 17.00/12.23 tff(32648,plain,
% 17.00/12.23 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v193(VarNext) <=> v191(VarCurr)))) | ((~nextState(constB6, constB7)) | (v193(constB7) <=> v191(constB6)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v193(VarNext) <=> v191(VarCurr)))) | (~nextState(constB6, constB7)) | (v193(constB7) <=> v191(constB6)))),
% 17.00/12.23 inference(rewrite,[status(thm)],[])).
% 17.00/12.23 tff(32649,plain,
% 17.00/12.23 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v193(VarNext) <=> v191(VarCurr)))) | ((~nextState(constB6, constB7)) | (v193(constB7) <=> v191(constB6)))),
% 17.00/12.23 inference(quant_inst,[status(thm)],[])).
% 17.00/12.23 tff(32650,plain,
% 17.00/12.23 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v193(VarNext) <=> v191(VarCurr)))) | (~nextState(constB6, constB7)) | (v193(constB7) <=> v191(constB6))),
% 17.00/12.23 inference(modus_ponens,[status(thm)],[32649, 32648])).
% 17.00/12.23 tff(32651,plain,
% 17.00/12.23 (v193(constB7) <=> v191(constB6)),
% 17.00/12.23 inference(unit_resolution,[status(thm)],[32650, 4693, 70])).
% 17.00/12.23 tff(32652,plain,
% 17.00/12.23 ((~![VarCurr: $i] : (v191(VarCurr) <=> (v194(VarCurr) | v198(VarCurr)))) | (v191(constB6) <=> (v194(constB6) | v198(constB6)))),
% 17.00/12.23 inference(quant_inst,[status(thm)],[])).
% 17.00/12.23 tff(32653,plain,
% 17.00/12.23 (v191(constB6) <=> (v194(constB6) | v198(constB6))),
% 17.00/12.23 inference(unit_resolution,[status(thm)],[32652, 84])).
% 17.00/12.23 tff(32654,plain,
% 17.00/12.23 ((~![VarCurr: $i] : (v198(VarCurr) <=> (~((~v199(VarCurr)) | (~v200(VarCurr)))))) | (v198(constB6) <=> (~((~v199(constB6)) | (~v200(constB6)))))),
% 17.00/12.23 inference(quant_inst,[status(thm)],[])).
% 17.00/12.23 tff(32655,plain,
% 17.00/12.23 (v198(constB6) <=> (~((~v199(constB6)) | (~v200(constB6))))),
% 17.00/12.23 inference(unit_resolution,[status(thm)],[32654, 96])).
% 17.00/12.23 tff(32656,plain,
% 17.00/12.23 ((~![VarCurr: $i] : (v200(VarCurr) <=> (~((~v197(VarCurr)) | (~v201(VarCurr)))))) | (v200(constB6) <=> (~((~v197(constB6)) | (~v201(constB6)))))),
% 17.00/12.23 inference(quant_inst,[status(thm)],[])).
% 17.00/12.23 tff(32657,plain,
% 17.00/12.23 (v200(constB6) <=> (~((~v197(constB6)) | (~v201(constB6))))),
% 17.00/12.23 inference(unit_resolution,[status(thm)],[32656, 108])).
% 17.00/12.23 tff(32658,plain,
% 17.00/12.23 ((~![VarCurr: $i] : (v197(VarCurr) <=> (~((~v39(VarCurr)) | (~v9(VarCurr)))))) | (v197(constB6) <=> (~((~v39(constB6)) | (~v9(constB6)))))),
% 17.00/12.23 inference(quant_inst,[status(thm)],[])).
% 17.00/12.23 tff(32659,plain,
% 17.00/12.23 (v197(constB6) <=> (~((~v39(constB6)) | (~v9(constB6))))),
% 17.00/12.23 inference(unit_resolution,[status(thm)],[32658, 120])).
% 17.00/12.23 tff(32660,plain,
% 17.00/12.23 ((~![VarCurr: $i] : ((~v39(VarCurr)) <=> v1(VarCurr))) | ((~v39(constB6)) <=> v1(constB6))),
% 17.00/12.23 inference(quant_inst,[status(thm)],[])).
% 17.00/12.23 tff(32661,plain,
% 17.00/12.23 ((~v39(constB6)) <=> v1(constB6)),
% 17.00/12.23 inference(unit_resolution,[status(thm)],[32660, 129])).
% 17.00/12.23 tff(32662,plain,
% 17.00/12.23 ((~((~v39(constB6)) <=> v1(constB6))) | (~v39(constB6)) | (~v1(constB6))),
% 17.00/12.23 inference(tautology,[status(thm)],[])).
% 17.00/12.23 tff(32663,plain,
% 17.00/12.23 ((~((~v39(constB6)) <=> v1(constB6))) | (~v39(constB6))),
% 17.00/12.23 inference(unit_resolution,[status(thm)],[32662, 4755])).
% 17.00/12.23 tff(32664,plain,
% 17.00/12.23 (~v39(constB6)),
% 17.00/12.23 inference(unit_resolution,[status(thm)],[32663, 32661])).
% 17.00/12.23 tff(32665,plain,
% 17.00/12.23 (((~v39(constB6)) | (~v9(constB6))) | v39(constB6)),
% 17.00/12.23 inference(tautology,[status(thm)],[])).
% 17.00/12.23 tff(32666,plain,
% 17.00/12.23 ((~v39(constB6)) | (~v9(constB6))),
% 17.00/12.23 inference(unit_resolution,[status(thm)],[32665, 32664])).
% 17.00/12.23 tff(32667,plain,
% 17.00/12.23 ((~(v197(constB6) <=> (~((~v39(constB6)) | (~v9(constB6)))))) | (~v197(constB6)) | (~((~v39(constB6)) | (~v9(constB6))))),
% 17.00/12.23 inference(tautology,[status(thm)],[])).
% 17.00/12.23 tff(32668,plain,
% 17.00/12.23 ((~(v197(constB6) <=> (~((~v39(constB6)) | (~v9(constB6)))))) | (~v197(constB6))),
% 17.00/12.23 inference(unit_resolution,[status(thm)],[32667, 32666])).
% 17.00/12.23 tff(32669,plain,
% 17.00/12.23 (~v197(constB6)),
% 17.00/12.23 inference(unit_resolution,[status(thm)],[32668, 32659])).
% 17.00/12.24 tff(32670,plain,
% 17.00/12.24 (((~v197(constB6)) | (~v201(constB6))) | v197(constB6)),
% 17.00/12.24 inference(tautology,[status(thm)],[])).
% 17.00/12.24 tff(32671,plain,
% 17.00/12.24 ((~v197(constB6)) | (~v201(constB6))),
% 17.00/12.24 inference(unit_resolution,[status(thm)],[32670, 32669])).
% 17.00/12.24 tff(32672,plain,
% 17.00/12.24 ((~(v200(constB6) <=> (~((~v197(constB6)) | (~v201(constB6)))))) | (~v200(constB6)) | (~((~v197(constB6)) | (~v201(constB6))))),
% 17.00/12.24 inference(tautology,[status(thm)],[])).
% 17.00/12.24 tff(32673,plain,
% 17.00/12.24 ((~(v200(constB6) <=> (~((~v197(constB6)) | (~v201(constB6)))))) | (~v200(constB6))),
% 17.00/12.24 inference(unit_resolution,[status(thm)],[32672, 32671])).
% 17.00/12.24 tff(32674,plain,
% 17.00/12.24 (~v200(constB6)),
% 17.00/12.24 inference(unit_resolution,[status(thm)],[32673, 32657])).
% 17.00/12.24 tff(32675,plain,
% 17.00/12.24 (((~v199(constB6)) | (~v200(constB6))) | v200(constB6)),
% 17.00/12.24 inference(tautology,[status(thm)],[])).
% 17.00/12.24 tff(32676,plain,
% 17.00/12.24 ((~v199(constB6)) | (~v200(constB6))),
% 17.00/12.24 inference(unit_resolution,[status(thm)],[32675, 32674])).
% 17.00/12.24 tff(32677,plain,
% 17.00/12.24 ((~(v198(constB6) <=> (~((~v199(constB6)) | (~v200(constB6)))))) | (~v198(constB6)) | (~((~v199(constB6)) | (~v200(constB6))))),
% 17.00/12.24 inference(tautology,[status(thm)],[])).
% 17.00/12.24 tff(32678,plain,
% 17.00/12.24 (~v198(constB6)),
% 17.00/12.24 inference(unit_resolution,[status(thm)],[32677, 32676, 32655])).
% 17.00/12.24 tff(32679,plain,
% 17.00/12.24 (((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB6) <=> (~((~v157(constB6)) | (~v195(constB6)))))) <=> ((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB6) <=> (~((~v157(constB6)) | (~v195(constB6))))))),
% 17.00/12.24 inference(rewrite,[status(thm)],[])).
% 17.00/12.24 tff(32680,plain,
% 17.00/12.24 ((v194(constB6) <=> (~((~v195(constB6)) | (~v157(constB6))))) <=> (v194(constB6) <=> (~((~v157(constB6)) | (~v195(constB6)))))),
% 17.00/12.24 inference(rewrite,[status(thm)],[])).
% 17.00/12.24 tff(32681,plain,
% 17.00/12.24 (((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB6) <=> (~((~v195(constB6)) | (~v157(constB6)))))) <=> ((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB6) <=> (~((~v157(constB6)) | (~v195(constB6))))))),
% 17.00/12.24 inference(monotonicity,[status(thm)],[32680])).
% 17.00/12.24 tff(32682,plain,
% 17.00/12.24 (((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB6) <=> (~((~v195(constB6)) | (~v157(constB6)))))) <=> ((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB6) <=> (~((~v157(constB6)) | (~v195(constB6))))))),
% 17.00/12.24 inference(transitivity,[status(thm)],[32681, 32679])).
% 17.00/12.24 tff(32683,plain,
% 17.00/12.24 ((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB6) <=> (~((~v195(constB6)) | (~v157(constB6)))))),
% 17.00/12.24 inference(quant_inst,[status(thm)],[])).
% 17.00/12.24 tff(32684,plain,
% 17.00/12.24 ((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB6) <=> (~((~v157(constB6)) | (~v195(constB6)))))),
% 17.00/12.24 inference(modus_ponens,[status(thm)],[32683, 32682])).
% 17.00/12.24 tff(32685,plain,
% 17.00/12.24 (v194(constB6) <=> (~((~v157(constB6)) | (~v195(constB6))))),
% 17.00/12.24 inference(unit_resolution,[status(thm)],[32684, 161])).
% 17.00/12.24 tff(32686,plain,
% 17.00/12.24 ((~![VarNext: $i] : (v157(VarNext) <=> v193(VarNext))) | (v157(constB6) <=> v193(constB6))),
% 17.00/12.24 inference(quant_inst,[status(thm)],[])).
% 17.00/12.24 tff(32687,plain,
% 17.00/12.24 (v157(constB6) <=> v193(constB6)),
% 17.00/12.24 inference(unit_resolution,[status(thm)],[32686, 13])).
% 17.00/12.24 tff(32688,plain,
% 17.00/12.24 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v193(VarNext) <=> v191(VarCurr)))) | ((~nextState(constB5, constB6)) | (v193(constB6) <=> v191(constB5)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v193(VarNext) <=> v191(VarCurr)))) | (~nextState(constB5, constB6)) | (v193(constB6) <=> v191(constB5)))),
% 17.00/12.24 inference(rewrite,[status(thm)],[])).
% 17.00/12.24 tff(32689,plain,
% 17.00/12.24 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v193(VarNext) <=> v191(VarCurr)))) | ((~nextState(constB5, constB6)) | (v193(constB6) <=> v191(constB5)))),
% 17.00/12.24 inference(quant_inst,[status(thm)],[])).
% 17.00/12.24 tff(32690,plain,
% 17.00/12.24 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v193(VarNext) <=> v191(VarCurr)))) | (~nextState(constB5, constB6)) | (v193(constB6) <=> v191(constB5))),
% 17.00/12.24 inference(modus_ponens,[status(thm)],[32689, 32688])).
% 17.00/12.24 tff(32691,plain,
% 17.00/12.24 (v193(constB6) <=> v191(constB5)),
% 17.00/12.24 inference(unit_resolution,[status(thm)],[32690, 4725, 70])).
% 17.00/12.24 tff(32692,plain,
% 17.00/12.24 ((~![VarCurr: $i] : (v191(VarCurr) <=> (v194(VarCurr) | v198(VarCurr)))) | (v191(constB5) <=> (v194(constB5) | v198(constB5)))),
% 17.00/12.24 inference(quant_inst,[status(thm)],[])).
% 17.00/12.24 tff(32693,plain,
% 17.00/12.24 (v191(constB5) <=> (v194(constB5) | v198(constB5))),
% 17.00/12.24 inference(unit_resolution,[status(thm)],[32692, 84])).
% 17.00/12.24 tff(32694,plain,
% 17.00/12.24 (((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB5) <=> (~((~v157(constB5)) | (~v195(constB5)))))) <=> ((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB5) <=> (~((~v157(constB5)) | (~v195(constB5))))))),
% 17.00/12.24 inference(rewrite,[status(thm)],[])).
% 17.00/12.24 tff(32695,plain,
% 17.00/12.24 ((v194(constB5) <=> (~((~v195(constB5)) | (~v157(constB5))))) <=> (v194(constB5) <=> (~((~v157(constB5)) | (~v195(constB5)))))),
% 17.00/12.24 inference(rewrite,[status(thm)],[])).
% 17.00/12.24 tff(32696,plain,
% 17.00/12.24 (((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB5) <=> (~((~v195(constB5)) | (~v157(constB5)))))) <=> ((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB5) <=> (~((~v157(constB5)) | (~v195(constB5))))))),
% 17.00/12.24 inference(monotonicity,[status(thm)],[32695])).
% 17.00/12.24 tff(32697,plain,
% 17.00/12.24 (((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB5) <=> (~((~v195(constB5)) | (~v157(constB5)))))) <=> ((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB5) <=> (~((~v157(constB5)) | (~v195(constB5))))))),
% 17.00/12.24 inference(transitivity,[status(thm)],[32696, 32694])).
% 17.00/12.24 tff(32698,plain,
% 17.00/12.24 ((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB5) <=> (~((~v195(constB5)) | (~v157(constB5)))))),
% 17.00/12.24 inference(quant_inst,[status(thm)],[])).
% 17.00/12.24 tff(32699,plain,
% 17.00/12.24 ((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB5) <=> (~((~v157(constB5)) | (~v195(constB5)))))),
% 17.00/12.24 inference(modus_ponens,[status(thm)],[32698, 32697])).
% 17.00/12.24 tff(32700,plain,
% 17.00/12.24 (v194(constB5) <=> (~((~v157(constB5)) | (~v195(constB5))))),
% 17.00/12.24 inference(unit_resolution,[status(thm)],[32699, 161])).
% 17.00/12.24 tff(32701,plain,
% 17.00/12.24 ((~![VarCurr: $i] : ((~v195(VarCurr)) <=> v196(VarCurr))) | ((~v195(constB5)) <=> v196(constB5))),
% 17.00/12.24 inference(quant_inst,[status(thm)],[])).
% 17.00/12.24 tff(32702,plain,
% 17.00/12.24 ((~v195(constB5)) <=> v196(constB5)),
% 17.00/12.24 inference(unit_resolution,[status(thm)],[32701, 193])).
% 17.00/12.24 tff(32703,plain,
% 17.00/12.24 ((~![VarCurr: $i] : (v196(VarCurr) <=> (v197(VarCurr) | v26(VarCurr)))) | (v196(constB5) <=> (v197(constB5) | v26(constB5)))),
% 17.00/12.24 inference(quant_inst,[status(thm)],[])).
% 17.00/12.24 tff(32704,plain,
% 17.00/12.24 (v196(constB5) <=> (v197(constB5) | v26(constB5))),
% 17.00/12.24 inference(unit_resolution,[status(thm)],[32703, 202])).
% 17.00/12.24 tff(32705,plain,
% 17.00/12.24 ((~![VarCurr: $i] : (v197(VarCurr) <=> (~((~v39(VarCurr)) | (~v9(VarCurr)))))) | (v197(constB5) <=> (~((~v39(constB5)) | (~v9(constB5)))))),
% 17.00/12.24 inference(quant_inst,[status(thm)],[])).
% 17.00/12.24 tff(32706,plain,
% 17.00/12.24 (v197(constB5) <=> (~((~v39(constB5)) | (~v9(constB5))))),
% 17.00/12.24 inference(unit_resolution,[status(thm)],[32705, 120])).
% 17.00/12.24 tff(32707,plain,
% 17.00/12.24 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | ((~nextState(constB5, constB6)) | (v13(constB6) <=> v9(constB5)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | (~nextState(constB5, constB6)) | (v13(constB6) <=> v9(constB5)))),
% 17.00/12.24 inference(rewrite,[status(thm)],[])).
% 17.00/12.24 tff(32708,plain,
% 17.00/12.24 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | ((~nextState(constB5, constB6)) | (v13(constB6) <=> v9(constB5)))),
% 17.00/12.24 inference(quant_inst,[status(thm)],[])).
% 17.00/12.24 tff(32709,plain,
% 17.00/12.24 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | (~nextState(constB5, constB6)) | (v13(constB6) <=> v9(constB5))),
% 17.00/12.24 inference(modus_ponens,[status(thm)],[32708, 32707])).
% 17.00/12.24 tff(32710,plain,
% 17.00/12.24 (v13(constB6) <=> v9(constB5)),
% 17.00/12.24 inference(unit_resolution,[status(thm)],[32709, 4725, 216])).
% 17.00/12.24 tff(32711,plain,
% 17.00/12.24 ((~![VarNext: $i] : (v6(VarNext) <=> v13(VarNext))) | (v6(constB6) <=> v13(constB6))),
% 17.00/12.24 inference(quant_inst,[status(thm)],[])).
% 17.00/12.24 tff(32712,plain,
% 17.00/12.24 (v6(constB6) <=> v13(constB6)),
% 17.00/12.24 inference(unit_resolution,[status(thm)],[32711, 230])).
% 17.00/12.24 tff(32713,plain,
% 17.00/12.24 ((~![VarCurr: $i] : ((~v21(VarCurr)) <=> v6(VarCurr))) | ((~v21(constB6)) <=> v6(constB6))),
% 17.00/12.24 inference(quant_inst,[status(thm)],[])).
% 17.00/12.24 tff(32714,plain,
% 17.00/12.24 ((~v21(constB6)) <=> v6(constB6)),
% 17.00/12.24 inference(unit_resolution,[status(thm)],[32713, 239])).
% 17.00/12.24 tff(32715,plain,
% 17.00/12.24 ((~![VarCurr: $i] : (v19(VarCurr) <=> (v20(VarCurr) | v21(VarCurr)))) | (v19(constB6) <=> (v20(constB6) | v21(constB6)))),
% 17.00/12.24 inference(quant_inst,[status(thm)],[])).
% 17.00/12.24 tff(32716,plain,
% 17.00/12.24 (v19(constB6) <=> (v20(constB6) | v21(constB6))),
% 17.00/12.24 inference(unit_resolution,[status(thm)],[32715, 248])).
% 17.00/12.24 tff(32717,plain,
% 17.00/12.24 ((~![VarCurr: $i] : (v18(VarCurr) <=> (~((~v19(VarCurr)) | (~v22(VarCurr)))))) | (v18(constB6) <=> (~((~v19(constB6)) | (~v22(constB6)))))),
% 17.00/12.24 inference(quant_inst,[status(thm)],[])).
% 17.00/12.24 tff(32718,plain,
% 17.00/12.24 (v18(constB6) <=> (~((~v19(constB6)) | (~v22(constB6))))),
% 17.00/12.24 inference(unit_resolution,[status(thm)],[32717, 260])).
% 17.00/12.24 tff(32719,plain,
% 17.00/12.24 ((~![VarCurr: $i] : ((~v4(VarCurr)) <=> v18(VarCurr))) | ((~v4(constB6)) <=> v18(constB6))),
% 17.00/12.24 inference(quant_inst,[status(thm)],[])).
% 17.00/12.24 tff(32720,plain,
% 17.00/12.24 ((~v4(constB6)) <=> v18(constB6)),
% 17.00/12.24 inference(unit_resolution,[status(thm)],[32719, 269])).
% 17.00/12.24 tff(32721,plain,
% 17.00/12.24 ((~![VarCurr: $i] : v4(VarCurr)) | v4(constB6)),
% 17.00/12.24 inference(quant_inst,[status(thm)],[])).
% 17.00/12.24 tff(32722,plain,
% 17.00/12.24 (v4(constB6)),
% 17.00/12.24 inference(unit_resolution,[status(thm)],[32721, 278])).
% 17.00/12.24 tff(32723,plain,
% 17.00/12.24 ((~((~v4(constB6)) <=> v18(constB6))) | (~v4(constB6)) | (~v18(constB6))),
% 17.00/12.24 inference(tautology,[status(thm)],[])).
% 17.00/12.24 tff(32724,plain,
% 17.00/12.24 (~v18(constB6)),
% 17.00/12.24 inference(unit_resolution,[status(thm)],[32723, 32722, 32720])).
% 17.00/12.24 tff(32725,plain,
% 17.00/12.24 ((~(v18(constB6) <=> (~((~v19(constB6)) | (~v22(constB6)))))) | v18(constB6) | ((~v19(constB6)) | (~v22(constB6)))),
% 17.00/12.24 inference(tautology,[status(thm)],[])).
% 17.00/12.24 tff(32726,plain,
% 17.00/12.24 ((~v19(constB6)) | (~v22(constB6))),
% 17.00/12.24 inference(unit_resolution,[status(thm)],[32725, 32724, 32718])).
% 17.00/12.24 tff(32727,plain,
% 17.00/12.24 ((~![VarCurr: $i] : (v22(VarCurr) <=> (v1(VarCurr) | v6(VarCurr)))) | (v22(constB6) <=> (v1(constB6) | v6(constB6)))),
% 17.00/12.24 inference(quant_inst,[status(thm)],[])).
% 17.00/12.24 tff(32728,plain,
% 17.00/12.24 (v22(constB6) <=> (v1(constB6) | v6(constB6))),
% 17.00/12.24 inference(unit_resolution,[status(thm)],[32727, 291])).
% 17.00/12.24 tff(32729,plain,
% 17.00/12.24 ((v1(constB6) | v6(constB6)) | (~v1(constB6))),
% 17.00/12.24 inference(tautology,[status(thm)],[])).
% 17.00/12.24 tff(32730,plain,
% 17.00/12.24 (v1(constB6) | v6(constB6)),
% 17.00/12.24 inference(unit_resolution,[status(thm)],[32729, 4755])).
% 17.00/12.24 tff(32731,plain,
% 17.00/12.24 ((~(v22(constB6) <=> (v1(constB6) | v6(constB6)))) | v22(constB6) | (~(v1(constB6) | v6(constB6)))),
% 17.00/12.24 inference(tautology,[status(thm)],[])).
% 17.00/12.24 tff(32732,plain,
% 17.00/12.24 ((~(v22(constB6) <=> (v1(constB6) | v6(constB6)))) | v22(constB6)),
% 17.00/12.24 inference(unit_resolution,[status(thm)],[32731, 32730])).
% 17.00/12.24 tff(32733,plain,
% 17.00/12.24 (v22(constB6)),
% 17.00/12.24 inference(unit_resolution,[status(thm)],[32732, 32728])).
% 17.00/12.24 tff(32734,plain,
% 17.00/12.24 ((~((~v19(constB6)) | (~v22(constB6)))) | (~v19(constB6)) | (~v22(constB6))),
% 17.00/12.24 inference(tautology,[status(thm)],[])).
% 17.00/12.24 tff(32735,plain,
% 17.00/12.24 ((~((~v19(constB6)) | (~v22(constB6)))) | (~v19(constB6))),
% 17.00/12.24 inference(unit_resolution,[status(thm)],[32734, 32733])).
% 17.00/12.24 tff(32736,plain,
% 17.00/12.24 (~v19(constB6)),
% 17.00/12.24 inference(unit_resolution,[status(thm)],[32735, 32726])).
% 17.00/12.24 tff(32737,plain,
% 17.00/12.24 ((~(v19(constB6) <=> (v20(constB6) | v21(constB6)))) | v19(constB6) | (~(v20(constB6) | v21(constB6)))),
% 17.00/12.24 inference(tautology,[status(thm)],[])).
% 17.00/12.24 tff(32738,plain,
% 17.00/12.24 (~(v20(constB6) | v21(constB6))),
% 17.00/12.24 inference(unit_resolution,[status(thm)],[32737, 32736, 32716])).
% 17.00/12.24 tff(32739,plain,
% 17.00/12.24 ((v20(constB6) | v21(constB6)) | (~v21(constB6))),
% 17.00/12.24 inference(tautology,[status(thm)],[])).
% 17.00/12.24 tff(32740,plain,
% 17.00/12.24 (~v21(constB6)),
% 17.00/12.24 inference(unit_resolution,[status(thm)],[32739, 32738])).
% 17.00/12.24 tff(32741,plain,
% 17.00/12.24 ((~((~v21(constB6)) <=> v6(constB6))) | v21(constB6) | v6(constB6)),
% 17.00/12.24 inference(tautology,[status(thm)],[])).
% 17.00/12.24 tff(32742,plain,
% 17.00/12.24 (v6(constB6)),
% 17.00/12.24 inference(unit_resolution,[status(thm)],[32741, 32740, 32714])).
% 17.00/12.24 tff(32743,plain,
% 17.00/12.24 ((~(v6(constB6) <=> v13(constB6))) | (~v6(constB6)) | v13(constB6)),
% 17.00/12.24 inference(tautology,[status(thm)],[])).
% 17.00/12.24 tff(32744,plain,
% 17.00/12.24 (v13(constB6)),
% 17.00/12.24 inference(unit_resolution,[status(thm)],[32743, 32742, 32712])).
% 17.00/12.24 tff(32745,plain,
% 17.00/12.24 ((~(v13(constB6) <=> v9(constB5))) | (~v13(constB6)) | v9(constB5)),
% 17.00/12.24 inference(tautology,[status(thm)],[])).
% 17.00/12.24 tff(32746,plain,
% 17.00/12.24 (v9(constB5)),
% 17.00/12.24 inference(unit_resolution,[status(thm)],[32745, 32744, 32710])).
% 17.00/12.24 tff(32747,plain,
% 17.00/12.24 ((~![VarCurr: $i] : ((~v39(VarCurr)) <=> v1(VarCurr))) | ((~v39(constB5)) <=> v1(constB5))),
% 17.00/12.24 inference(quant_inst,[status(thm)],[])).
% 17.00/12.24 tff(32748,plain,
% 17.00/12.24 ((~v39(constB5)) <=> v1(constB5)),
% 17.00/12.24 inference(unit_resolution,[status(thm)],[32747, 129])).
% 17.00/12.24 tff(32749,plain,
% 17.00/12.24 ((~((~v39(constB5)) <=> v1(constB5))) | v39(constB5) | v1(constB5)),
% 17.00/12.24 inference(tautology,[status(thm)],[])).
% 17.00/12.24 tff(32750,plain,
% 17.00/12.24 ((~((~v39(constB5)) <=> v1(constB5))) | v39(constB5)),
% 17.00/12.24 inference(unit_resolution,[status(thm)],[32749, 4747])).
% 17.00/12.24 tff(32751,plain,
% 17.00/12.24 (v39(constB5)),
% 17.00/12.24 inference(unit_resolution,[status(thm)],[32750, 32748])).
% 17.00/12.24 tff(32752,plain,
% 17.00/12.24 ((~((~v39(constB5)) | (~v9(constB5)))) | (~v39(constB5)) | (~v9(constB5))),
% 17.00/12.24 inference(tautology,[status(thm)],[])).
% 17.00/12.24 tff(32753,plain,
% 17.00/12.24 ((~((~v39(constB5)) | (~v9(constB5)))) | (~v9(constB5))),
% 17.00/12.24 inference(unit_resolution,[status(thm)],[32752, 32751])).
% 17.00/12.24 tff(32754,plain,
% 17.00/12.24 (~((~v39(constB5)) | (~v9(constB5)))),
% 17.00/12.24 inference(unit_resolution,[status(thm)],[32753, 32746])).
% 17.00/12.24 tff(32755,plain,
% 17.00/12.24 ((~(v197(constB5) <=> (~((~v39(constB5)) | (~v9(constB5)))))) | v197(constB5) | ((~v39(constB5)) | (~v9(constB5)))),
% 17.00/12.24 inference(tautology,[status(thm)],[])).
% 17.00/12.24 tff(32756,plain,
% 17.00/12.24 (v197(constB5)),
% 17.00/12.24 inference(unit_resolution,[status(thm)],[32755, 32754, 32706])).
% 17.00/12.24 tff(32757,plain,
% 17.00/12.24 ((v197(constB5) | v26(constB5)) | (~v197(constB5))),
% 17.00/12.24 inference(tautology,[status(thm)],[])).
% 17.00/12.24 tff(32758,plain,
% 17.00/12.24 (v197(constB5) | v26(constB5)),
% 17.00/12.24 inference(unit_resolution,[status(thm)],[32757, 32756])).
% 17.00/12.24 tff(32759,plain,
% 17.00/12.24 ((~(v196(constB5) <=> (v197(constB5) | v26(constB5)))) | v196(constB5) | (~(v197(constB5) | v26(constB5)))),
% 17.00/12.24 inference(tautology,[status(thm)],[])).
% 17.00/12.24 tff(32760,plain,
% 17.00/12.24 (v196(constB5)),
% 17.00/12.24 inference(unit_resolution,[status(thm)],[32759, 32758, 32704])).
% 17.00/12.24 tff(32761,plain,
% 17.00/12.24 ((~((~v195(constB5)) <=> v196(constB5))) | (~v195(constB5)) | (~v196(constB5))),
% 17.00/12.24 inference(tautology,[status(thm)],[])).
% 17.00/12.24 tff(32762,plain,
% 17.00/12.24 (~v195(constB5)),
% 17.00/12.24 inference(unit_resolution,[status(thm)],[32761, 32760, 32702])).
% 17.00/12.24 tff(32763,plain,
% 17.00/12.24 (((~v157(constB5)) | (~v195(constB5))) | v195(constB5)),
% 17.00/12.24 inference(tautology,[status(thm)],[])).
% 17.00/12.24 tff(32764,plain,
% 17.00/12.24 ((~v157(constB5)) | (~v195(constB5))),
% 17.00/12.24 inference(unit_resolution,[status(thm)],[32763, 32762])).
% 17.00/12.24 tff(32765,plain,
% 17.00/12.24 ((~(v194(constB5) <=> (~((~v157(constB5)) | (~v195(constB5)))))) | (~v194(constB5)) | (~((~v157(constB5)) | (~v195(constB5))))),
% 17.00/12.24 inference(tautology,[status(thm)],[])).
% 17.00/12.24 tff(32766,plain,
% 17.00/12.24 (~v194(constB5)),
% 17.00/12.24 inference(unit_resolution,[status(thm)],[32765, 32764, 32700])).
% 17.00/12.24 tff(32767,plain,
% 17.00/12.24 ((~![VarCurr: $i] : (v198(VarCurr) <=> (~((~v199(VarCurr)) | (~v200(VarCurr)))))) | (v198(constB5) <=> (~((~v199(constB5)) | (~v200(constB5)))))),
% 17.00/12.24 inference(quant_inst,[status(thm)],[])).
% 17.00/12.24 tff(32768,plain,
% 17.00/12.24 (v198(constB5) <=> (~((~v199(constB5)) | (~v200(constB5))))),
% 17.00/12.25 inference(unit_resolution,[status(thm)],[32767, 96])).
% 17.00/12.25 tff(32769,plain,
% 17.00/12.25 ((~![VarCurr: $i] : (v200(VarCurr) <=> (~((~v197(VarCurr)) | (~v201(VarCurr)))))) | (v200(constB5) <=> (~((~v197(constB5)) | (~v201(constB5)))))),
% 17.00/12.25 inference(quant_inst,[status(thm)],[])).
% 17.00/12.25 tff(32770,plain,
% 17.00/12.25 (v200(constB5) <=> (~((~v197(constB5)) | (~v201(constB5))))),
% 17.00/12.25 inference(unit_resolution,[status(thm)],[32769, 108])).
% 17.00/12.25 tff(32771,plain,
% 17.00/12.25 ((~![VarCurr: $i] : (v201(VarCurr) <=> (~((~v159(VarCurr)) | (~v161(VarCurr)))))) | (v201(constB5) <=> (~((~v159(constB5)) | (~v161(constB5)))))),
% 17.00/12.25 inference(quant_inst,[status(thm)],[])).
% 17.00/12.25 tff(32772,plain,
% 17.00/12.25 (v201(constB5) <=> (~((~v159(constB5)) | (~v161(constB5))))),
% 17.00/12.25 inference(unit_resolution,[status(thm)],[32771, 348])).
% 17.00/12.25 tff(32773,plain,
% 17.00/12.25 ((~![VarCurr: $i] : (v161(VarCurr) <=> v163(VarCurr))) | (v161(constB5) <=> v163(constB5))),
% 17.00/12.25 inference(quant_inst,[status(thm)],[])).
% 17.00/12.25 tff(32774,plain,
% 17.00/12.25 (v161(constB5) <=> v163(constB5)),
% 17.00/12.25 inference(unit_resolution,[status(thm)],[32773, 357])).
% 17.00/12.25 tff(32775,plain,
% 17.00/12.25 ((~![VarCurr: $i] : (v166(VarCurr) <=> (v145(VarCurr) | v167(VarCurr)))) | (v166(constB5) <=> (v145(constB5) | v167(constB5)))),
% 17.00/12.25 inference(quant_inst,[status(thm)],[])).
% 17.00/12.25 tff(32776,plain,
% 17.00/12.25 (v166(constB5) <=> (v145(constB5) | v167(constB5))),
% 17.00/12.25 inference(unit_resolution,[status(thm)],[32775, 13079])).
% 17.00/12.25 tff(32777,plain,
% 17.00/12.25 ((~![VarCurr: $i] : (v167(VarCurr) <=> (v142(VarCurr) | v168(VarCurr)))) | (v167(constB5) <=> (v142(constB5) | v168(constB5)))),
% 17.00/12.25 inference(quant_inst,[status(thm)],[])).
% 17.00/12.25 tff(32778,plain,
% 17.00/12.25 (v167(constB5) <=> (v142(constB5) | v168(constB5))),
% 17.00/12.25 inference(unit_resolution,[status(thm)],[32777, 13091])).
% 17.00/12.25 tff(32779,plain,
% 17.00/12.25 ((~![VarCurr: $i] : (v142(VarCurr) <=> (v143(VarCurr) | v144(VarCurr)))) | (v142(constB5) <=> (v143(constB5) | v144(constB5)))),
% 17.00/12.25 inference(quant_inst,[status(thm)],[])).
% 17.00/12.25 tff(32780,plain,
% 17.00/12.25 (v142(constB5) <=> (v143(constB5) | v144(constB5))),
% 17.00/12.25 inference(unit_resolution,[status(thm)],[32779, 378])).
% 17.00/12.25 tff(32781,plain,
% 17.00/12.25 (((~![VarCurr: $i] : (v144(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex2)))))) | (v144(constB5) <=> (~((~v88(constB5, bitIndex2)) | (~v88(constB5, bitIndex1)) | v88(constB5, bitIndex0))))) <=> ((~![VarCurr: $i] : (v144(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex2)))))) | (v144(constB5) <=> (~((~v88(constB5, bitIndex2)) | (~v88(constB5, bitIndex1)) | v88(constB5, bitIndex0)))))),
% 17.00/12.25 inference(rewrite,[status(thm)],[])).
% 17.00/12.25 tff(32782,plain,
% 17.00/12.25 ((v144(constB5) <=> (~(v88(constB5, bitIndex0) | (~v88(constB5, bitIndex1)) | (~v88(constB5, bitIndex2))))) <=> (v144(constB5) <=> (~((~v88(constB5, bitIndex2)) | (~v88(constB5, bitIndex1)) | v88(constB5, bitIndex0))))),
% 17.00/12.25 inference(rewrite,[status(thm)],[])).
% 17.00/12.25 tff(32783,plain,
% 17.00/12.25 (((~![VarCurr: $i] : (v144(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex2)))))) | (v144(constB5) <=> (~(v88(constB5, bitIndex0) | (~v88(constB5, bitIndex1)) | (~v88(constB5, bitIndex2)))))) <=> ((~![VarCurr: $i] : (v144(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex2)))))) | (v144(constB5) <=> (~((~v88(constB5, bitIndex2)) | (~v88(constB5, bitIndex1)) | v88(constB5, bitIndex0)))))),
% 17.00/12.25 inference(monotonicity,[status(thm)],[32782])).
% 17.00/12.25 tff(32784,plain,
% 17.00/12.25 (((~![VarCurr: $i] : (v144(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex2)))))) | (v144(constB5) <=> (~(v88(constB5, bitIndex0) | (~v88(constB5, bitIndex1)) | (~v88(constB5, bitIndex2)))))) <=> ((~![VarCurr: $i] : (v144(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex2)))))) | (v144(constB5) <=> (~((~v88(constB5, bitIndex2)) | (~v88(constB5, bitIndex1)) | v88(constB5, bitIndex0)))))),
% 17.00/12.25 inference(transitivity,[status(thm)],[32783, 32781])).
% 17.00/12.25 tff(32785,plain,
% 17.00/12.25 ((~![VarCurr: $i] : (v144(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex2)))))) | (v144(constB5) <=> (~(v88(constB5, bitIndex0) | (~v88(constB5, bitIndex1)) | (~v88(constB5, bitIndex2)))))),
% 17.00/12.25 inference(quant_inst,[status(thm)],[])).
% 17.00/12.25 tff(32786,plain,
% 17.00/12.25 ((~![VarCurr: $i] : (v144(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex2)))))) | (v144(constB5) <=> (~((~v88(constB5, bitIndex2)) | (~v88(constB5, bitIndex1)) | v88(constB5, bitIndex0))))),
% 17.00/12.25 inference(modus_ponens,[status(thm)],[32785, 32784])).
% 17.00/12.25 tff(32787,plain,
% 17.00/12.25 (v144(constB5) <=> (~((~v88(constB5, bitIndex2)) | (~v88(constB5, bitIndex1)) | v88(constB5, bitIndex0)))),
% 17.00/12.25 inference(unit_resolution,[status(thm)],[32786, 393])).
% 17.00/12.25 tff(32788,plain,
% 17.00/12.25 (((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | ((~less_3(bitIndex2)) | (v88(constB5, bitIndex2) <=> v90(constB5, bitIndex2)))) <=> ((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | (~less_3(bitIndex2)) | (v88(constB5, bitIndex2) <=> v90(constB5, bitIndex2)))),
% 17.00/12.25 inference(rewrite,[status(thm)],[])).
% 17.00/12.25 tff(32789,plain,
% 17.00/12.25 ((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | ((~less_3(bitIndex2)) | (v88(constB5, bitIndex2) <=> v90(constB5, bitIndex2)))),
% 17.00/12.25 inference(quant_inst,[status(thm)],[])).
% 17.00/12.25 tff(32790,plain,
% 17.00/12.25 ((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | (~less_3(bitIndex2)) | (v88(constB5, bitIndex2) <=> v90(constB5, bitIndex2))),
% 17.00/12.25 inference(modus_ponens,[status(thm)],[32789, 32788])).
% 17.00/12.25 tff(32791,plain,
% 17.00/12.25 (v88(constB5, bitIndex2) <=> v90(constB5, bitIndex2)),
% 17.00/12.25 inference(unit_resolution,[status(thm)],[32790, 413, 410])).
% 17.00/12.25 tff(32792,plain,
% 17.00/12.25 ((~(v88(constB5, bitIndex2) <=> v90(constB5, bitIndex2))) | v88(constB5, bitIndex2) | (~v90(constB5, bitIndex2))),
% 17.00/12.25 inference(tautology,[status(thm)],[])).
% 17.00/12.25 tff(32793,plain,
% 17.00/12.25 (v88(constB5, bitIndex2)),
% 17.00/12.25 inference(unit_resolution,[status(thm)],[32792, 5392, 32791])).
% 17.00/12.25 tff(32794,plain,
% 17.00/12.25 (((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | ((~less_3(bitIndex0)) | (v88(constB5, bitIndex0) <=> v90(constB5, bitIndex0)))) <=> ((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | (~less_3(bitIndex0)) | (v88(constB5, bitIndex0) <=> v90(constB5, bitIndex0)))),
% 17.00/12.25 inference(rewrite,[status(thm)],[])).
% 17.00/12.25 tff(32795,plain,
% 17.00/12.25 ((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | ((~less_3(bitIndex0)) | (v88(constB5, bitIndex0) <=> v90(constB5, bitIndex0)))),
% 17.00/12.25 inference(quant_inst,[status(thm)],[])).
% 17.00/12.25 tff(32796,plain,
% 17.00/12.25 ((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | (~less_3(bitIndex0)) | (v88(constB5, bitIndex0) <=> v90(constB5, bitIndex0))),
% 17.00/12.25 inference(modus_ponens,[status(thm)],[32795, 32794])).
% 17.00/12.25 tff(32797,plain,
% 17.00/12.25 (v88(constB5, bitIndex0) <=> v90(constB5, bitIndex0)),
% 17.00/12.25 inference(unit_resolution,[status(thm)],[32796, 5004, 410])).
% 17.00/12.25 tff(32798,plain,
% 17.00/12.25 ((~(v88(constB5, bitIndex0) <=> v90(constB5, bitIndex0))) | (~v88(constB5, bitIndex0)) | v90(constB5, bitIndex0)),
% 17.00/12.25 inference(tautology,[status(thm)],[])).
% 17.00/12.25 tff(32799,plain,
% 17.00/12.25 (~v88(constB5, bitIndex0)),
% 17.00/12.25 inference(unit_resolution,[status(thm)],[32798, 5426, 32797])).
% 17.00/12.25 tff(32800,plain,
% 17.00/12.25 (((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | ((~less_3(bitIndex1)) | (v88(constB5, bitIndex1) <=> v90(constB5, bitIndex1)))) <=> ((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | (~less_3(bitIndex1)) | (v88(constB5, bitIndex1) <=> v90(constB5, bitIndex1)))),
% 17.00/12.25 inference(rewrite,[status(thm)],[])).
% 17.00/12.25 tff(32801,plain,
% 17.00/12.25 ((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | ((~less_3(bitIndex1)) | (v88(constB5, bitIndex1) <=> v90(constB5, bitIndex1)))),
% 17.00/12.25 inference(quant_inst,[status(thm)],[])).
% 17.00/12.25 tff(32802,plain,
% 17.00/12.25 ((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | (~less_3(bitIndex1)) | (v88(constB5, bitIndex1) <=> v90(constB5, bitIndex1))),
% 17.00/12.25 inference(modus_ponens,[status(thm)],[32801, 32800])).
% 17.00/12.25 tff(32803,plain,
% 17.00/12.25 (v88(constB5, bitIndex1) <=> v90(constB5, bitIndex1)),
% 17.00/12.25 inference(unit_resolution,[status(thm)],[32802, 5017, 410])).
% 17.00/12.25 tff(32804,plain,
% 17.00/12.25 ((~(v88(constB5, bitIndex1) <=> v90(constB5, bitIndex1))) | v88(constB5, bitIndex1) | (~v90(constB5, bitIndex1))),
% 17.00/12.25 inference(tautology,[status(thm)],[])).
% 17.00/12.25 tff(32805,plain,
% 17.00/12.25 (v88(constB5, bitIndex1)),
% 17.00/12.25 inference(unit_resolution,[status(thm)],[32804, 5460, 32803])).
% 17.00/12.25 tff(32806,plain,
% 17.00/12.25 ((~((~v88(constB5, bitIndex2)) | (~v88(constB5, bitIndex1)) | v88(constB5, bitIndex0))) | (~v88(constB5, bitIndex2)) | (~v88(constB5, bitIndex1)) | v88(constB5, bitIndex0)),
% 17.00/12.25 inference(tautology,[status(thm)],[])).
% 17.00/12.25 tff(32807,plain,
% 17.00/12.25 (~((~v88(constB5, bitIndex2)) | (~v88(constB5, bitIndex1)) | v88(constB5, bitIndex0))),
% 17.00/12.25 inference(unit_resolution,[status(thm)],[32806, 32805, 32799, 32793])).
% 17.00/12.25 tff(32808,plain,
% 17.00/12.25 ((~(v144(constB5) <=> (~((~v88(constB5, bitIndex2)) | (~v88(constB5, bitIndex1)) | v88(constB5, bitIndex0))))) | v144(constB5) | ((~v88(constB5, bitIndex2)) | (~v88(constB5, bitIndex1)) | v88(constB5, bitIndex0))),
% 17.00/12.25 inference(tautology,[status(thm)],[])).
% 17.00/12.25 tff(32809,plain,
% 17.00/12.25 (v144(constB5)),
% 17.00/12.25 inference(unit_resolution,[status(thm)],[32808, 32807, 32787])).
% 17.00/12.25 tff(32810,plain,
% 17.00/12.25 ((v143(constB5) | v144(constB5)) | (~v144(constB5))),
% 17.00/12.25 inference(tautology,[status(thm)],[])).
% 17.00/12.25 tff(32811,plain,
% 17.00/12.25 (v143(constB5) | v144(constB5)),
% 17.00/12.25 inference(unit_resolution,[status(thm)],[32810, 32809])).
% 17.00/12.25 tff(32812,plain,
% 17.00/12.25 ((~(v142(constB5) <=> (v143(constB5) | v144(constB5)))) | v142(constB5) | (~(v143(constB5) | v144(constB5)))),
% 17.00/12.25 inference(tautology,[status(thm)],[])).
% 17.00/12.25 tff(32813,plain,
% 17.00/12.25 (v142(constB5)),
% 17.00/12.25 inference(unit_resolution,[status(thm)],[32812, 32811, 32780])).
% 17.00/12.25 tff(32814,plain,
% 17.00/12.25 ((v142(constB5) | v168(constB5)) | (~v142(constB5))),
% 17.00/12.25 inference(tautology,[status(thm)],[])).
% 17.00/12.25 tff(32815,plain,
% 17.00/12.25 (v142(constB5) | v168(constB5)),
% 17.00/12.25 inference(unit_resolution,[status(thm)],[32814, 32813])).
% 17.00/12.25 tff(32816,plain,
% 17.00/12.25 ((~(v167(constB5) <=> (v142(constB5) | v168(constB5)))) | v167(constB5) | (~(v142(constB5) | v168(constB5)))),
% 17.00/12.25 inference(tautology,[status(thm)],[])).
% 17.00/12.25 tff(32817,plain,
% 17.00/12.25 (v167(constB5)),
% 17.00/12.25 inference(unit_resolution,[status(thm)],[32816, 32815, 32778])).
% 17.00/12.25 tff(32818,plain,
% 17.00/12.25 ((v145(constB5) | v167(constB5)) | (~v167(constB5))),
% 17.00/12.25 inference(tautology,[status(thm)],[])).
% 17.00/12.25 tff(32819,plain,
% 17.00/12.25 (v145(constB5) | v167(constB5)),
% 17.00/12.25 inference(unit_resolution,[status(thm)],[32818, 32817])).
% 17.00/12.25 tff(32820,plain,
% 17.00/12.25 ((~(v166(constB5) <=> (v145(constB5) | v167(constB5)))) | v166(constB5) | (~(v145(constB5) | v167(constB5)))),
% 17.00/12.25 inference(tautology,[status(thm)],[])).
% 17.00/12.25 tff(32821,plain,
% 17.00/12.25 (v166(constB5)),
% 17.00/12.25 inference(unit_resolution,[status(thm)],[32820, 32819, 32776])).
% 17.00/12.25 tff(32822,plain,
% 17.00/12.25 (((~![VarNext: $i] : ((~v166(VarNext)) | (v163(VarNext) <=> v170(VarNext)))) | ((~v166(constB5)) | (v163(constB5) <=> v170(constB5)))) <=> ((~![VarNext: $i] : ((~v166(VarNext)) | (v163(VarNext) <=> v170(VarNext)))) | (~v166(constB5)) | (v163(constB5) <=> v170(constB5)))),
% 17.00/12.25 inference(rewrite,[status(thm)],[])).
% 17.00/12.25 tff(32823,plain,
% 17.00/12.25 ((~![VarNext: $i] : ((~v166(VarNext)) | (v163(VarNext) <=> v170(VarNext)))) | ((~v166(constB5)) | (v163(constB5) <=> v170(constB5)))),
% 17.00/12.25 inference(quant_inst,[status(thm)],[])).
% 17.00/12.25 tff(32824,plain,
% 17.00/12.25 ((~![VarNext: $i] : ((~v166(VarNext)) | (v163(VarNext) <=> v170(VarNext)))) | (~v166(constB5)) | (v163(constB5) <=> v170(constB5))),
% 17.00/12.25 inference(modus_ponens,[status(thm)],[32823, 32822])).
% 17.00/12.25 tff(32825,plain,
% 17.00/12.25 ((~v166(constB5)) | (v163(constB5) <=> v170(constB5))),
% 17.00/12.25 inference(unit_resolution,[status(thm)],[32824, 13111])).
% 17.00/12.25 tff(32826,plain,
% 17.00/12.25 (v163(constB5) <=> v170(constB5)),
% 17.00/12.25 inference(unit_resolution,[status(thm)],[32825, 32821])).
% 17.00/12.25 tff(32827,plain,
% 17.00/12.25 ((~![VarCurr: $i] : (v171(VarCurr) <=> (v142(VarCurr) | v150(VarCurr)))) | (v171(constB5) <=> (v142(constB5) | v150(constB5)))),
% 17.00/12.25 inference(quant_inst,[status(thm)],[])).
% 17.00/12.25 tff(32828,plain,
% 17.00/12.25 (v171(constB5) <=> (v142(constB5) | v150(constB5))),
% 17.00/12.25 inference(unit_resolution,[status(thm)],[32827, 369])).
% 17.00/12.25 tff(32829,plain,
% 17.00/12.25 ((v142(constB5) | v150(constB5)) | (~v142(constB5))),
% 17.00/12.25 inference(tautology,[status(thm)],[])).
% 17.00/12.25 tff(32830,plain,
% 17.00/12.25 (v142(constB5) | v150(constB5)),
% 17.00/12.25 inference(unit_resolution,[status(thm)],[32829, 32813])).
% 17.00/12.25 tff(32831,plain,
% 17.00/12.25 ((~(v171(constB5) <=> (v142(constB5) | v150(constB5)))) | v171(constB5) | (~(v142(constB5) | v150(constB5)))),
% 17.00/12.25 inference(tautology,[status(thm)],[])).
% 17.00/12.25 tff(32832,plain,
% 17.00/12.25 (v171(constB5)),
% 17.00/12.25 inference(unit_resolution,[status(thm)],[32831, 32830, 32828])).
% 17.00/12.25 tff(32833,plain,
% 17.00/12.25 (((~![VarCurr: $i] : ((~v171(VarCurr)) | (~v170(VarCurr)))) | ((~v170(constB5)) | (~v171(constB5)))) <=> ((~![VarCurr: $i] : ((~v171(VarCurr)) | (~v170(VarCurr)))) | (~v170(constB5)) | (~v171(constB5)))),
% 17.00/12.25 inference(rewrite,[status(thm)],[])).
% 17.00/12.25 tff(32834,plain,
% 17.00/12.25 (((~v171(constB5)) | (~v170(constB5))) <=> ((~v170(constB5)) | (~v171(constB5)))),
% 17.00/12.25 inference(rewrite,[status(thm)],[])).
% 17.00/12.25 tff(32835,plain,
% 17.00/12.25 (((~![VarCurr: $i] : ((~v171(VarCurr)) | (~v170(VarCurr)))) | ((~v171(constB5)) | (~v170(constB5)))) <=> ((~![VarCurr: $i] : ((~v171(VarCurr)) | (~v170(VarCurr)))) | ((~v170(constB5)) | (~v171(constB5))))),
% 17.00/12.25 inference(monotonicity,[status(thm)],[32834])).
% 17.00/12.25 tff(32836,plain,
% 17.00/12.25 (((~![VarCurr: $i] : ((~v171(VarCurr)) | (~v170(VarCurr)))) | ((~v171(constB5)) | (~v170(constB5)))) <=> ((~![VarCurr: $i] : ((~v171(VarCurr)) | (~v170(VarCurr)))) | (~v170(constB5)) | (~v171(constB5)))),
% 17.00/12.25 inference(transitivity,[status(thm)],[32835, 32833])).
% 17.00/12.25 tff(32837,plain,
% 17.00/12.25 ((~![VarCurr: $i] : ((~v171(VarCurr)) | (~v170(VarCurr)))) | ((~v171(constB5)) | (~v170(constB5)))),
% 17.00/12.25 inference(quant_inst,[status(thm)],[])).
% 17.00/12.25 tff(32838,plain,
% 17.00/12.25 ((~![VarCurr: $i] : ((~v171(VarCurr)) | (~v170(VarCurr)))) | (~v170(constB5)) | (~v171(constB5))),
% 17.00/12.25 inference(modus_ponens,[status(thm)],[32837, 32836])).
% 17.00/12.25 tff(32839,plain,
% 17.00/12.25 (~v170(constB5)),
% 17.00/12.25 inference(unit_resolution,[status(thm)],[32838, 13061, 32832])).
% 17.00/12.25 tff(32840,plain,
% 17.00/12.25 ((~(v163(constB5) <=> v170(constB5))) | (~v163(constB5)) | v170(constB5)),
% 17.00/12.25 inference(tautology,[status(thm)],[])).
% 17.00/12.25 tff(32841,plain,
% 17.00/12.25 (~v163(constB5)),
% 17.00/12.25 inference(unit_resolution,[status(thm)],[32840, 32839, 32826])).
% 17.00/12.25 tff(32842,plain,
% 17.00/12.25 ((~(v161(constB5) <=> v163(constB5))) | (~v161(constB5)) | v163(constB5)),
% 17.00/12.25 inference(tautology,[status(thm)],[])).
% 17.00/12.25 tff(32843,plain,
% 17.00/12.25 (~v161(constB5)),
% 17.00/12.25 inference(unit_resolution,[status(thm)],[32842, 32841, 32774])).
% 17.00/12.25 tff(32844,plain,
% 17.00/12.25 (((~v159(constB5)) | (~v161(constB5))) | v161(constB5)),
% 17.00/12.25 inference(tautology,[status(thm)],[])).
% 17.00/12.25 tff(32845,plain,
% 17.00/12.25 ((~v159(constB5)) | (~v161(constB5))),
% 17.00/12.25 inference(unit_resolution,[status(thm)],[32844, 32843])).
% 17.00/12.25 tff(32846,plain,
% 17.00/12.25 ((~(v201(constB5) <=> (~((~v159(constB5)) | (~v161(constB5)))))) | (~v201(constB5)) | (~((~v159(constB5)) | (~v161(constB5))))),
% 17.00/12.25 inference(tautology,[status(thm)],[])).
% 17.00/12.25 tff(32847,plain,
% 17.00/12.25 (~v201(constB5)),
% 17.00/12.25 inference(unit_resolution,[status(thm)],[32846, 32845, 32772])).
% 17.00/12.25 tff(32848,plain,
% 17.00/12.25 (((~v197(constB5)) | (~v201(constB5))) | v201(constB5)),
% 17.00/12.25 inference(tautology,[status(thm)],[])).
% 17.00/12.25 tff(32849,plain,
% 17.00/12.25 ((~v197(constB5)) | (~v201(constB5))),
% 17.00/12.25 inference(unit_resolution,[status(thm)],[32848, 32847])).
% 17.00/12.25 tff(32850,plain,
% 17.00/12.25 ((~(v200(constB5) <=> (~((~v197(constB5)) | (~v201(constB5)))))) | (~v200(constB5)) | (~((~v197(constB5)) | (~v201(constB5))))),
% 17.00/12.25 inference(tautology,[status(thm)],[])).
% 17.00/12.25 tff(32851,plain,
% 17.00/12.25 (~v200(constB5)),
% 17.00/12.25 inference(unit_resolution,[status(thm)],[32850, 32849, 32770])).
% 17.00/12.25 tff(32852,plain,
% 17.00/12.25 (((~v199(constB5)) | (~v200(constB5))) | v200(constB5)),
% 17.00/12.25 inference(tautology,[status(thm)],[])).
% 17.00/12.25 tff(32853,plain,
% 17.00/12.25 ((~v199(constB5)) | (~v200(constB5))),
% 17.00/12.25 inference(unit_resolution,[status(thm)],[32852, 32851])).
% 17.00/12.25 tff(32854,plain,
% 17.00/12.25 ((~(v198(constB5) <=> (~((~v199(constB5)) | (~v200(constB5)))))) | (~v198(constB5)) | (~((~v199(constB5)) | (~v200(constB5))))),
% 17.00/12.26 inference(tautology,[status(thm)],[])).
% 17.00/12.26 tff(32855,plain,
% 17.00/12.26 (~v198(constB5)),
% 17.00/12.26 inference(unit_resolution,[status(thm)],[32854, 32853, 32768])).
% 17.00/12.26 tff(32856,plain,
% 17.00/12.26 ((~(v194(constB5) | v198(constB5))) | v194(constB5) | v198(constB5)),
% 17.00/12.26 inference(tautology,[status(thm)],[])).
% 17.00/12.26 tff(32857,plain,
% 17.00/12.26 (~(v194(constB5) | v198(constB5))),
% 17.00/12.26 inference(unit_resolution,[status(thm)],[32856, 32855, 32766])).
% 17.00/12.26 tff(32858,plain,
% 17.00/12.26 ((~(v191(constB5) <=> (v194(constB5) | v198(constB5)))) | (~v191(constB5)) | (v194(constB5) | v198(constB5))),
% 17.00/12.26 inference(tautology,[status(thm)],[])).
% 17.00/12.26 tff(32859,plain,
% 17.00/12.26 (~v191(constB5)),
% 17.00/12.26 inference(unit_resolution,[status(thm)],[32858, 32857, 32693])).
% 17.00/12.26 tff(32860,plain,
% 17.00/12.26 ((~(v193(constB6) <=> v191(constB5))) | (~v193(constB6)) | v191(constB5)),
% 17.00/12.26 inference(tautology,[status(thm)],[])).
% 17.00/12.26 tff(32861,plain,
% 17.00/12.26 (~v193(constB6)),
% 17.00/12.26 inference(unit_resolution,[status(thm)],[32860, 32859, 32691])).
% 17.00/12.26 tff(32862,plain,
% 17.00/12.26 ((~(v157(constB6) <=> v193(constB6))) | (~v157(constB6)) | v193(constB6)),
% 17.00/12.26 inference(tautology,[status(thm)],[])).
% 17.00/12.26 tff(32863,plain,
% 17.00/12.26 (~v157(constB6)),
% 17.00/12.26 inference(unit_resolution,[status(thm)],[32862, 32861, 32687])).
% 17.00/12.26 tff(32864,plain,
% 17.00/12.26 (((~v157(constB6)) | (~v195(constB6))) | v157(constB6)),
% 17.00/12.26 inference(tautology,[status(thm)],[])).
% 17.00/12.26 tff(32865,plain,
% 17.00/12.26 ((~v157(constB6)) | (~v195(constB6))),
% 17.00/12.26 inference(unit_resolution,[status(thm)],[32864, 32863])).
% 17.00/12.26 tff(32866,plain,
% 17.00/12.26 ((~(v194(constB6) <=> (~((~v157(constB6)) | (~v195(constB6)))))) | (~v194(constB6)) | (~((~v157(constB6)) | (~v195(constB6))))),
% 17.00/12.26 inference(tautology,[status(thm)],[])).
% 17.00/12.26 tff(32867,plain,
% 17.00/12.26 (~v194(constB6)),
% 17.00/12.26 inference(unit_resolution,[status(thm)],[32866, 32865, 32685])).
% 17.00/12.26 tff(32868,plain,
% 17.00/12.26 ((~(v194(constB6) | v198(constB6))) | v194(constB6) | v198(constB6)),
% 17.00/12.26 inference(tautology,[status(thm)],[])).
% 17.00/12.26 tff(32869,plain,
% 17.00/12.26 (~(v194(constB6) | v198(constB6))),
% 17.00/12.26 inference(unit_resolution,[status(thm)],[32868, 32867, 32678])).
% 17.00/12.26 tff(32870,plain,
% 17.00/12.26 ((~(v191(constB6) <=> (v194(constB6) | v198(constB6)))) | (~v191(constB6)) | (v194(constB6) | v198(constB6))),
% 17.00/12.26 inference(tautology,[status(thm)],[])).
% 17.00/12.26 tff(32871,plain,
% 17.00/12.26 (~v191(constB6)),
% 17.00/12.26 inference(unit_resolution,[status(thm)],[32870, 32869, 32653])).
% 17.00/12.26 tff(32872,plain,
% 17.00/12.26 ((~(v193(constB7) <=> v191(constB6))) | (~v193(constB7)) | v191(constB6)),
% 17.00/12.26 inference(tautology,[status(thm)],[])).
% 17.00/12.26 tff(32873,plain,
% 17.00/12.26 (~v193(constB7)),
% 17.00/12.26 inference(unit_resolution,[status(thm)],[32872, 32871, 32651])).
% 17.00/12.26 tff(32874,plain,
% 17.00/12.26 ($false),
% 17.00/12.26 inference(unit_resolution,[status(thm)],[32873, 32647])).
% 17.00/12.26 tff(32875,plain,(~(constB7 = VarCurr!0)), inference(lemma,lemma(discharge,[]))).
% 17.00/12.26 tff(32876,assumption,(constB5 = VarCurr!0), introduced(assumption)).
% 17.00/12.26 tff(32877,plain,
% 17.00/12.26 (v86(constB5) <=> v86(VarCurr!0)),
% 17.00/12.26 inference(monotonicity,[status(thm)],[32876])).
% 17.00/12.26 tff(32878,plain,
% 17.00/12.26 (v86(VarCurr!0) <=> v86(constB5)),
% 17.00/12.26 inference(symmetry,[status(thm)],[32877])).
% 17.00/12.26 tff(32879,plain,
% 17.00/12.26 ((~v86(VarCurr!0)) <=> (~v86(constB5))),
% 17.00/12.26 inference(monotonicity,[status(thm)],[32878])).
% 17.00/12.26 tff(32880,plain,
% 17.00/12.26 (~v86(constB5)),
% 17.00/12.26 inference(modus_ponens,[status(thm)],[20649, 32879])).
% 17.00/12.26 tff(32881,plain,
% 17.00/12.26 ((~![VarCurr: $i] : (v135(VarCurr) <=> (v136(VarCurr) | v145(VarCurr)))) | (v135(constB5) <=> (v136(constB5) | v145(constB5)))),
% 17.00/12.26 inference(quant_inst,[status(thm)],[])).
% 17.00/12.26 tff(32882,plain,
% 17.00/12.26 (v135(constB5) <=> (v136(constB5) | v145(constB5))),
% 17.00/12.26 inference(unit_resolution,[status(thm)],[32881, 23537])).
% 17.00/12.26 tff(32883,plain,
% 17.00/12.26 ((~![VarCurr: $i] : (v136(VarCurr) <=> (v137(VarCurr) | v142(VarCurr)))) | (v136(constB5) <=> (v137(constB5) | v142(constB5)))),
% 17.00/12.26 inference(quant_inst,[status(thm)],[])).
% 17.00/12.26 tff(32884,plain,
% 17.00/12.26 (v136(constB5) <=> (v137(constB5) | v142(constB5))),
% 17.00/12.26 inference(unit_resolution,[status(thm)],[32883, 23546])).
% 17.00/12.26 tff(32885,plain,
% 17.00/12.26 ((v137(constB5) | v142(constB5)) | (~v142(constB5))),
% 17.00/12.26 inference(tautology,[status(thm)],[])).
% 17.00/12.26 tff(32886,plain,
% 17.00/12.26 (v137(constB5) | v142(constB5)),
% 17.00/12.26 inference(unit_resolution,[status(thm)],[32885, 32813])).
% 17.00/12.26 tff(32887,plain,
% 17.00/12.26 ((~(v136(constB5) <=> (v137(constB5) | v142(constB5)))) | v136(constB5) | (~(v137(constB5) | v142(constB5)))),
% 17.00/12.26 inference(tautology,[status(thm)],[])).
% 17.00/12.26 tff(32888,plain,
% 17.00/12.26 (v136(constB5)),
% 17.00/12.26 inference(unit_resolution,[status(thm)],[32887, 32886, 32884])).
% 17.00/12.26 tff(32889,plain,
% 17.00/12.26 ((v136(constB5) | v145(constB5)) | (~v136(constB5))),
% 17.00/12.26 inference(tautology,[status(thm)],[])).
% 17.00/12.26 tff(32890,plain,
% 17.00/12.26 (v136(constB5) | v145(constB5)),
% 17.00/12.26 inference(unit_resolution,[status(thm)],[32889, 32888])).
% 17.00/12.26 tff(32891,plain,
% 17.00/12.26 ((~(v135(constB5) <=> (v136(constB5) | v145(constB5)))) | v135(constB5) | (~(v136(constB5) | v145(constB5)))),
% 17.00/12.26 inference(tautology,[status(thm)],[])).
% 17.00/12.26 tff(32892,plain,
% 17.00/12.26 (v135(constB5)),
% 17.00/12.26 inference(unit_resolution,[status(thm)],[32891, 32890, 32882])).
% 17.00/12.26 tff(32893,plain,
% 17.00/12.26 (((~![VarNext: $i] : ((~v135(VarNext)) | (v86(VarNext) <=> v148(VarNext)))) | ((~v135(constB5)) | (v86(constB5) <=> v148(constB5)))) <=> ((~![VarNext: $i] : ((~v135(VarNext)) | (v86(VarNext) <=> v148(VarNext)))) | (~v135(constB5)) | (v86(constB5) <=> v148(constB5)))),
% 17.00/12.26 inference(rewrite,[status(thm)],[])).
% 17.00/12.26 tff(32894,plain,
% 17.00/12.26 ((~![VarNext: $i] : ((~v135(VarNext)) | (v86(VarNext) <=> v148(VarNext)))) | ((~v135(constB5)) | (v86(constB5) <=> v148(constB5)))),
% 17.00/12.26 inference(quant_inst,[status(thm)],[])).
% 17.00/12.26 tff(32895,plain,
% 17.00/12.26 ((~![VarNext: $i] : ((~v135(VarNext)) | (v86(VarNext) <=> v148(VarNext)))) | (~v135(constB5)) | (v86(constB5) <=> v148(constB5))),
% 17.00/12.26 inference(modus_ponens,[status(thm)],[32894, 32893])).
% 17.00/12.26 tff(32896,plain,
% 17.00/12.26 (v86(constB5) <=> v148(constB5)),
% 17.00/12.26 inference(unit_resolution,[status(thm)],[32895, 23566, 32892])).
% 17.00/12.26 tff(32897,plain,
% 17.00/12.26 (((~![VarCurr: $i] : (v148(VarCurr) | (~v142(VarCurr)))) | (v148(constB5) | (~v142(constB5)))) <=> ((~![VarCurr: $i] : (v148(VarCurr) | (~v142(VarCurr)))) | v148(constB5) | (~v142(constB5)))),
% 17.00/12.26 inference(rewrite,[status(thm)],[])).
% 17.00/12.26 tff(32898,plain,
% 17.00/12.26 ((~![VarCurr: $i] : (v148(VarCurr) | (~v142(VarCurr)))) | (v148(constB5) | (~v142(constB5)))),
% 17.00/12.26 inference(quant_inst,[status(thm)],[])).
% 17.00/12.26 tff(32899,plain,
% 17.00/12.26 ((~![VarCurr: $i] : (v148(VarCurr) | (~v142(VarCurr)))) | v148(constB5) | (~v142(constB5))),
% 17.00/12.26 inference(modus_ponens,[status(thm)],[32898, 32897])).
% 17.00/12.26 tff(32900,plain,
% 17.00/12.26 (v148(constB5) | (~v142(constB5))),
% 17.00/12.26 inference(unit_resolution,[status(thm)],[32899, 23525])).
% 17.00/12.26 tff(32901,plain,
% 17.00/12.26 (v148(constB5)),
% 17.00/12.26 inference(unit_resolution,[status(thm)],[32900, 32813])).
% 17.00/12.26 tff(32902,plain,
% 17.00/12.26 ((~(v86(constB5) <=> v148(constB5))) | v86(constB5) | (~v148(constB5))),
% 17.00/12.26 inference(tautology,[status(thm)],[])).
% 17.00/12.26 tff(32903,plain,
% 17.00/12.26 ((~(v86(constB5) <=> v148(constB5))) | v86(constB5)),
% 17.00/12.26 inference(unit_resolution,[status(thm)],[32902, 32901])).
% 17.00/12.26 tff(32904,plain,
% 17.00/12.26 (v86(constB5)),
% 17.00/12.26 inference(unit_resolution,[status(thm)],[32903, 32896])).
% 17.00/12.26 tff(32905,plain,
% 17.00/12.26 ($false),
% 17.00/12.26 inference(unit_resolution,[status(thm)],[32904, 32880])).
% 17.00/12.26 tff(32906,plain,(~(constB5 = VarCurr!0)), inference(lemma,lemma(discharge,[]))).
% 17.00/12.26 tff(32907,assumption,(constB159 = VarCurr!0), introduced(assumption)).
% 17.00/12.26 tff(32908,plain,
% 17.00/12.26 (v86(constB159) <=> v86(VarCurr!0)),
% 17.00/12.26 inference(monotonicity,[status(thm)],[32907])).
% 17.00/12.26 tff(32909,plain,
% 17.00/12.26 (v86(VarCurr!0) <=> v86(constB159)),
% 17.00/12.26 inference(symmetry,[status(thm)],[32908])).
% 17.00/12.26 tff(32910,plain,
% 17.00/12.26 ((~v86(VarCurr!0)) <=> (~v86(constB159))),
% 17.00/12.26 inference(monotonicity,[status(thm)],[32909])).
% 17.00/12.26 tff(32911,plain,
% 17.00/12.26 (~v86(constB159)),
% 17.00/12.26 inference(modus_ponens,[status(thm)],[20649, 32910])).
% 17.00/12.26 tff(32912,plain,
% 17.00/12.26 ((~![VarCurr: $i] : (v142(VarCurr) <=> (v143(VarCurr) | v144(VarCurr)))) | (v142(constB159) <=> (v143(constB159) | v144(constB159)))),
% 17.00/12.26 inference(quant_inst,[status(thm)],[])).
% 17.00/12.26 tff(32913,plain,
% 17.00/12.26 (v142(constB159) <=> (v143(constB159) | v144(constB159))),
% 17.00/12.26 inference(unit_resolution,[status(thm)],[32912, 378])).
% 17.00/12.26 tff(32914,plain,
% 17.00/12.26 (((~![VarCurr: $i] : (v143(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)))))) | (v143(constB159) <=> (~(v88(constB159, bitIndex2) | (~v88(constB159, bitIndex1)) | v88(constB159, bitIndex0))))) <=> ((~![VarCurr: $i] : (v143(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)))))) | (v143(constB159) <=> (~(v88(constB159, bitIndex2) | (~v88(constB159, bitIndex1)) | v88(constB159, bitIndex0)))))),
% 17.00/12.26 inference(rewrite,[status(thm)],[])).
% 17.00/12.26 tff(32915,plain,
% 17.00/12.26 ((v143(constB159) <=> (~(v88(constB159, bitIndex0) | v88(constB159, bitIndex2) | (~v88(constB159, bitIndex1))))) <=> (v143(constB159) <=> (~(v88(constB159, bitIndex2) | (~v88(constB159, bitIndex1)) | v88(constB159, bitIndex0))))),
% 17.00/12.26 inference(rewrite,[status(thm)],[])).
% 17.00/12.26 tff(32916,plain,
% 17.00/12.26 (((~![VarCurr: $i] : (v143(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)))))) | (v143(constB159) <=> (~(v88(constB159, bitIndex0) | v88(constB159, bitIndex2) | (~v88(constB159, bitIndex1)))))) <=> ((~![VarCurr: $i] : (v143(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)))))) | (v143(constB159) <=> (~(v88(constB159, bitIndex2) | (~v88(constB159, bitIndex1)) | v88(constB159, bitIndex0)))))),
% 17.00/12.26 inference(monotonicity,[status(thm)],[32915])).
% 17.00/12.26 tff(32917,plain,
% 17.00/12.26 (((~![VarCurr: $i] : (v143(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)))))) | (v143(constB159) <=> (~(v88(constB159, bitIndex0) | v88(constB159, bitIndex2) | (~v88(constB159, bitIndex1)))))) <=> ((~![VarCurr: $i] : (v143(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)))))) | (v143(constB159) <=> (~(v88(constB159, bitIndex2) | (~v88(constB159, bitIndex1)) | v88(constB159, bitIndex0)))))),
% 17.00/12.26 inference(transitivity,[status(thm)],[32916, 32914])).
% 17.00/12.26 tff(32918,plain,
% 17.00/12.26 ((~![VarCurr: $i] : (v143(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)))))) | (v143(constB159) <=> (~(v88(constB159, bitIndex0) | v88(constB159, bitIndex2) | (~v88(constB159, bitIndex1)))))),
% 17.00/12.26 inference(quant_inst,[status(thm)],[])).
% 17.00/12.26 tff(32919,plain,
% 17.00/12.26 ((~![VarCurr: $i] : (v143(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)))))) | (v143(constB159) <=> (~(v88(constB159, bitIndex2) | (~v88(constB159, bitIndex1)) | v88(constB159, bitIndex0))))),
% 17.00/12.26 inference(modus_ponens,[status(thm)],[32918, 32917])).
% 17.00/12.26 tff(32920,plain,
% 17.00/12.26 (v143(constB159) <=> (~(v88(constB159, bitIndex2) | (~v88(constB159, bitIndex1)) | v88(constB159, bitIndex0)))),
% 17.00/12.26 inference(unit_resolution,[status(thm)],[32919, 20665])).
% 17.00/12.26 tff(32921,plain,
% 17.00/12.26 (((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | ((~less_3(bitIndex2)) | (v88(constB159, bitIndex2) <=> v90(constB159, bitIndex2)))) <=> ((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | (~less_3(bitIndex2)) | (v88(constB159, bitIndex2) <=> v90(constB159, bitIndex2)))),
% 17.00/12.26 inference(rewrite,[status(thm)],[])).
% 17.00/12.26 tff(32922,plain,
% 17.00/12.26 ((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | ((~less_3(bitIndex2)) | (v88(constB159, bitIndex2) <=> v90(constB159, bitIndex2)))),
% 17.00/12.26 inference(quant_inst,[status(thm)],[])).
% 17.00/12.26 tff(32923,plain,
% 17.00/12.26 ((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | (~less_3(bitIndex2)) | (v88(constB159, bitIndex2) <=> v90(constB159, bitIndex2))),
% 17.00/12.26 inference(modus_ponens,[status(thm)],[32922, 32921])).
% 17.00/12.26 tff(32924,plain,
% 17.00/12.26 (v88(constB159, bitIndex2) <=> v90(constB159, bitIndex2)),
% 17.00/12.26 inference(unit_resolution,[status(thm)],[32923, 413, 410])).
% 17.00/12.26 tff(32925,plain,
% 17.00/12.26 ((~(v88(constB159, bitIndex2) <=> v90(constB159, bitIndex2))) | (~v88(constB159, bitIndex2)) | v90(constB159, bitIndex2)),
% 17.00/12.26 inference(tautology,[status(thm)],[])).
% 17.00/12.26 tff(32926,plain,
% 17.00/12.26 (~v88(constB159, bitIndex2)),
% 17.00/12.26 inference(unit_resolution,[status(thm)],[32925, 22601, 32924])).
% 17.00/12.26 tff(32927,plain,
% 17.00/12.26 (((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | ((~less_3(bitIndex0)) | (v88(constB159, bitIndex0) <=> v90(constB159, bitIndex0)))) <=> ((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | (~less_3(bitIndex0)) | (v88(constB159, bitIndex0) <=> v90(constB159, bitIndex0)))),
% 17.00/12.26 inference(rewrite,[status(thm)],[])).
% 17.00/12.26 tff(32928,plain,
% 17.00/12.26 ((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | ((~less_3(bitIndex0)) | (v88(constB159, bitIndex0) <=> v90(constB159, bitIndex0)))),
% 17.00/12.26 inference(quant_inst,[status(thm)],[])).
% 17.00/12.26 tff(32929,plain,
% 17.00/12.26 ((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | (~less_3(bitIndex0)) | (v88(constB159, bitIndex0) <=> v90(constB159, bitIndex0))),
% 17.00/12.26 inference(modus_ponens,[status(thm)],[32928, 32927])).
% 17.00/12.26 tff(32930,plain,
% 17.00/12.26 (v88(constB159, bitIndex0) <=> v90(constB159, bitIndex0)),
% 17.00/12.26 inference(unit_resolution,[status(thm)],[32929, 5004, 410])).
% 17.00/12.26 tff(32931,plain,
% 17.00/12.26 ((~(v88(constB159, bitIndex0) <=> v90(constB159, bitIndex0))) | (~v88(constB159, bitIndex0)) | v90(constB159, bitIndex0)),
% 17.00/12.26 inference(tautology,[status(thm)],[])).
% 17.00/12.26 tff(32932,plain,
% 17.00/12.26 (~v88(constB159, bitIndex0)),
% 17.00/12.26 inference(unit_resolution,[status(thm)],[32931, 22632, 32930])).
% 17.00/12.26 tff(32933,plain,
% 17.00/12.26 (((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | ((~less_3(bitIndex1)) | (v88(constB159, bitIndex1) <=> v90(constB159, bitIndex1)))) <=> ((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | (~less_3(bitIndex1)) | (v88(constB159, bitIndex1) <=> v90(constB159, bitIndex1)))),
% 17.00/12.26 inference(rewrite,[status(thm)],[])).
% 17.00/12.26 tff(32934,plain,
% 17.00/12.26 ((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | ((~less_3(bitIndex1)) | (v88(constB159, bitIndex1) <=> v90(constB159, bitIndex1)))),
% 17.00/12.26 inference(quant_inst,[status(thm)],[])).
% 17.00/12.26 tff(32935,plain,
% 17.00/12.26 ((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | (~less_3(bitIndex1)) | (v88(constB159, bitIndex1) <=> v90(constB159, bitIndex1))),
% 17.00/12.26 inference(modus_ponens,[status(thm)],[32934, 32933])).
% 17.00/12.26 tff(32936,plain,
% 17.00/12.26 (v88(constB159, bitIndex1) <=> v90(constB159, bitIndex1)),
% 17.00/12.26 inference(unit_resolution,[status(thm)],[32935, 5017, 410])).
% 17.00/12.26 tff(32937,plain,
% 17.00/12.26 ((~(v88(constB159, bitIndex1) <=> v90(constB159, bitIndex1))) | v88(constB159, bitIndex1) | (~v90(constB159, bitIndex1))),
% 17.00/12.26 inference(tautology,[status(thm)],[])).
% 17.00/12.26 tff(32938,plain,
% 17.00/12.26 (v88(constB159, bitIndex1)),
% 17.00/12.26 inference(unit_resolution,[status(thm)],[32937, 22663, 32936])).
% 17.00/12.26 tff(32939,plain,
% 17.00/12.26 ((~(v88(constB159, bitIndex2) | (~v88(constB159, bitIndex1)) | v88(constB159, bitIndex0))) | v88(constB159, bitIndex2) | (~v88(constB159, bitIndex1)) | v88(constB159, bitIndex0)),
% 17.00/12.26 inference(tautology,[status(thm)],[])).
% 17.00/12.26 tff(32940,plain,
% 17.00/12.26 (~(v88(constB159, bitIndex2) | (~v88(constB159, bitIndex1)) | v88(constB159, bitIndex0))),
% 17.00/12.26 inference(unit_resolution,[status(thm)],[32939, 32938, 32932, 32926])).
% 17.00/12.26 tff(32941,plain,
% 17.00/12.26 ((~(v143(constB159) <=> (~(v88(constB159, bitIndex2) | (~v88(constB159, bitIndex1)) | v88(constB159, bitIndex0))))) | v143(constB159) | (v88(constB159, bitIndex2) | (~v88(constB159, bitIndex1)) | v88(constB159, bitIndex0))),
% 17.00/12.26 inference(tautology,[status(thm)],[])).
% 17.00/12.26 tff(32942,plain,
% 17.00/12.26 (v143(constB159)),
% 17.00/12.26 inference(unit_resolution,[status(thm)],[32941, 32940, 32920])).
% 17.00/12.26 tff(32943,plain,
% 17.00/12.26 ((v143(constB159) | v144(constB159)) | (~v143(constB159))),
% 17.00/12.26 inference(tautology,[status(thm)],[])).
% 17.00/12.26 tff(32944,plain,
% 17.00/12.26 (v143(constB159) | v144(constB159)),
% 17.00/12.26 inference(unit_resolution,[status(thm)],[32943, 32942])).
% 17.00/12.26 tff(32945,plain,
% 17.00/12.26 ((~(v142(constB159) <=> (v143(constB159) | v144(constB159)))) | v142(constB159) | (~(v143(constB159) | v144(constB159)))),
% 17.00/12.26 inference(tautology,[status(thm)],[])).
% 17.00/12.26 tff(32946,plain,
% 17.00/12.26 (v142(constB159)),
% 17.00/12.26 inference(unit_resolution,[status(thm)],[32945, 32944, 32913])).
% 17.00/12.26 tff(32947,plain,
% 17.00/12.26 (((~![VarCurr: $i] : (v148(VarCurr) | (~v142(VarCurr)))) | (v148(constB159) | (~v142(constB159)))) <=> ((~![VarCurr: $i] : (v148(VarCurr) | (~v142(VarCurr)))) | v148(constB159) | (~v142(constB159)))),
% 17.00/12.26 inference(rewrite,[status(thm)],[])).
% 17.00/12.26 tff(32948,plain,
% 17.00/12.26 ((~![VarCurr: $i] : (v148(VarCurr) | (~v142(VarCurr)))) | (v148(constB159) | (~v142(constB159)))),
% 17.00/12.26 inference(quant_inst,[status(thm)],[])).
% 17.00/12.26 tff(32949,plain,
% 17.00/12.26 ((~![VarCurr: $i] : (v148(VarCurr) | (~v142(VarCurr)))) | v148(constB159) | (~v142(constB159))),
% 17.00/12.26 inference(modus_ponens,[status(thm)],[32948, 32947])).
% 17.00/12.26 tff(32950,plain,
% 17.00/12.26 (v148(constB159) | (~v142(constB159))),
% 17.00/12.26 inference(unit_resolution,[status(thm)],[32949, 23525])).
% 17.00/12.26 tff(32951,plain,
% 17.00/12.26 (v148(constB159)),
% 17.00/12.26 inference(unit_resolution,[status(thm)],[32950, 32946])).
% 17.00/12.26 tff(32952,plain,
% 17.00/12.26 ((~![VarCurr: $i] : (v135(VarCurr) <=> (v136(VarCurr) | v145(VarCurr)))) | (v135(constB159) <=> (v136(constB159) | v145(constB159)))),
% 17.00/12.26 inference(quant_inst,[status(thm)],[])).
% 17.00/12.26 tff(32953,plain,
% 17.00/12.26 (v135(constB159) <=> (v136(constB159) | v145(constB159))),
% 17.00/12.26 inference(unit_resolution,[status(thm)],[32952, 23537])).
% 17.00/12.26 tff(32954,plain,
% 17.00/12.26 ((~![VarCurr: $i] : (v136(VarCurr) <=> (v137(VarCurr) | v142(VarCurr)))) | (v136(constB159) <=> (v137(constB159) | v142(constB159)))),
% 17.00/12.26 inference(quant_inst,[status(thm)],[])).
% 17.00/12.26 tff(32955,plain,
% 17.00/12.26 (v136(constB159) <=> (v137(constB159) | v142(constB159))),
% 17.00/12.26 inference(unit_resolution,[status(thm)],[32954, 23546])).
% 17.00/12.26 tff(32956,plain,
% 17.00/12.26 ((v137(constB159) | v142(constB159)) | (~v142(constB159))),
% 17.00/12.26 inference(tautology,[status(thm)],[])).
% 17.00/12.26 tff(32957,plain,
% 17.00/12.26 (v137(constB159) | v142(constB159)),
% 17.00/12.26 inference(unit_resolution,[status(thm)],[32956, 32946])).
% 17.00/12.26 tff(32958,plain,
% 17.00/12.26 ((~(v136(constB159) <=> (v137(constB159) | v142(constB159)))) | v136(constB159) | (~(v137(constB159) | v142(constB159)))),
% 17.00/12.26 inference(tautology,[status(thm)],[])).
% 17.00/12.26 tff(32959,plain,
% 17.00/12.26 (v136(constB159)),
% 17.00/12.26 inference(unit_resolution,[status(thm)],[32958, 32957, 32955])).
% 17.00/12.26 tff(32960,plain,
% 17.00/12.26 ((v136(constB159) | v145(constB159)) | (~v136(constB159))),
% 17.00/12.26 inference(tautology,[status(thm)],[])).
% 17.00/12.26 tff(32961,plain,
% 17.00/12.26 (v136(constB159) | v145(constB159)),
% 17.00/12.26 inference(unit_resolution,[status(thm)],[32960, 32959])).
% 17.00/12.26 tff(32962,plain,
% 17.00/12.26 ((~(v135(constB159) <=> (v136(constB159) | v145(constB159)))) | v135(constB159) | (~(v136(constB159) | v145(constB159)))),
% 17.00/12.26 inference(tautology,[status(thm)],[])).
% 17.00/12.26 tff(32963,plain,
% 17.00/12.26 (v135(constB159)),
% 17.00/12.26 inference(unit_resolution,[status(thm)],[32962, 32961, 32953])).
% 17.00/12.26 tff(32964,plain,
% 17.00/12.26 (((~![VarNext: $i] : ((~v135(VarNext)) | (v86(VarNext) <=> v148(VarNext)))) | ((~v135(constB159)) | (v86(constB159) <=> v148(constB159)))) <=> ((~![VarNext: $i] : ((~v135(VarNext)) | (v86(VarNext) <=> v148(VarNext)))) | (~v135(constB159)) | (v86(constB159) <=> v148(constB159)))),
% 17.00/12.26 inference(rewrite,[status(thm)],[])).
% 17.00/12.26 tff(32965,plain,
% 17.00/12.26 ((~![VarNext: $i] : ((~v135(VarNext)) | (v86(VarNext) <=> v148(VarNext)))) | ((~v135(constB159)) | (v86(constB159) <=> v148(constB159)))),
% 17.00/12.26 inference(quant_inst,[status(thm)],[])).
% 17.00/12.26 tff(32966,plain,
% 17.00/12.26 ((~![VarNext: $i] : ((~v135(VarNext)) | (v86(VarNext) <=> v148(VarNext)))) | (~v135(constB159)) | (v86(constB159) <=> v148(constB159))),
% 17.00/12.27 inference(modus_ponens,[status(thm)],[32965, 32964])).
% 17.00/12.27 tff(32967,plain,
% 17.00/12.27 ((~v135(constB159)) | (v86(constB159) <=> v148(constB159))),
% 17.00/12.27 inference(unit_resolution,[status(thm)],[32966, 23566])).
% 17.00/12.27 tff(32968,plain,
% 17.00/12.27 (v86(constB159) <=> v148(constB159)),
% 17.00/12.27 inference(unit_resolution,[status(thm)],[32967, 32963])).
% 17.00/12.27 tff(32969,plain,
% 17.00/12.27 ((~(v86(constB159) <=> v148(constB159))) | v86(constB159) | (~v148(constB159))),
% 17.00/12.27 inference(tautology,[status(thm)],[])).
% 17.00/12.27 tff(32970,plain,
% 17.00/12.27 (v86(constB159)),
% 17.00/12.27 inference(unit_resolution,[status(thm)],[32969, 32968, 32951])).
% 17.00/12.27 tff(32971,plain,
% 17.00/12.27 ($false),
% 17.00/12.27 inference(unit_resolution,[status(thm)],[32970, 32911])).
% 17.00/12.27 tff(32972,plain,(~(constB159 = VarCurr!0)), inference(lemma,lemma(discharge,[]))).
% 17.00/12.27 tff(32973,assumption,(constB155 = VarCurr!0), introduced(assumption)).
% 17.00/12.27 tff(32974,plain,
% 17.00/12.27 (v86(constB155) <=> v86(VarCurr!0)),
% 17.00/12.27 inference(monotonicity,[status(thm)],[32973])).
% 17.00/12.27 tff(32975,plain,
% 17.00/12.27 (v86(VarCurr!0) <=> v86(constB155)),
% 17.00/12.27 inference(symmetry,[status(thm)],[32974])).
% 17.00/12.27 tff(32976,plain,
% 17.00/12.27 ((~v86(VarCurr!0)) <=> (~v86(constB155))),
% 17.00/12.27 inference(monotonicity,[status(thm)],[32975])).
% 17.00/12.27 tff(32977,plain,
% 17.00/12.27 (~v86(constB155)),
% 17.00/12.27 inference(modus_ponens,[status(thm)],[20649, 32976])).
% 17.00/12.27 tff(32978,plain,
% 17.00/12.27 ((~![VarCurr: $i] : (v142(VarCurr) <=> (v143(VarCurr) | v144(VarCurr)))) | (v142(constB155) <=> (v143(constB155) | v144(constB155)))),
% 17.00/12.27 inference(quant_inst,[status(thm)],[])).
% 17.00/12.27 tff(32979,plain,
% 17.00/12.27 (v142(constB155) <=> (v143(constB155) | v144(constB155))),
% 17.00/12.27 inference(unit_resolution,[status(thm)],[32978, 378])).
% 17.00/12.27 tff(32980,plain,
% 17.00/12.27 (((~![VarCurr: $i] : (v144(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex2)))))) | (v144(constB155) <=> (~((~v88(constB155, bitIndex2)) | (~v88(constB155, bitIndex1)) | v88(constB155, bitIndex0))))) <=> ((~![VarCurr: $i] : (v144(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex2)))))) | (v144(constB155) <=> (~((~v88(constB155, bitIndex2)) | (~v88(constB155, bitIndex1)) | v88(constB155, bitIndex0)))))),
% 17.00/12.27 inference(rewrite,[status(thm)],[])).
% 17.00/12.27 tff(32981,plain,
% 17.00/12.27 ((v144(constB155) <=> (~(v88(constB155, bitIndex0) | (~v88(constB155, bitIndex1)) | (~v88(constB155, bitIndex2))))) <=> (v144(constB155) <=> (~((~v88(constB155, bitIndex2)) | (~v88(constB155, bitIndex1)) | v88(constB155, bitIndex0))))),
% 17.00/12.27 inference(rewrite,[status(thm)],[])).
% 17.00/12.27 tff(32982,plain,
% 17.00/12.27 (((~![VarCurr: $i] : (v144(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex2)))))) | (v144(constB155) <=> (~(v88(constB155, bitIndex0) | (~v88(constB155, bitIndex1)) | (~v88(constB155, bitIndex2)))))) <=> ((~![VarCurr: $i] : (v144(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex2)))))) | (v144(constB155) <=> (~((~v88(constB155, bitIndex2)) | (~v88(constB155, bitIndex1)) | v88(constB155, bitIndex0)))))),
% 17.00/12.27 inference(monotonicity,[status(thm)],[32981])).
% 17.00/12.27 tff(32983,plain,
% 17.00/12.27 (((~![VarCurr: $i] : (v144(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex2)))))) | (v144(constB155) <=> (~(v88(constB155, bitIndex0) | (~v88(constB155, bitIndex1)) | (~v88(constB155, bitIndex2)))))) <=> ((~![VarCurr: $i] : (v144(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex2)))))) | (v144(constB155) <=> (~((~v88(constB155, bitIndex2)) | (~v88(constB155, bitIndex1)) | v88(constB155, bitIndex0)))))),
% 17.00/12.27 inference(transitivity,[status(thm)],[32982, 32980])).
% 17.00/12.27 tff(32984,plain,
% 17.00/12.27 ((~![VarCurr: $i] : (v144(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex2)))))) | (v144(constB155) <=> (~(v88(constB155, bitIndex0) | (~v88(constB155, bitIndex1)) | (~v88(constB155, bitIndex2)))))),
% 17.00/12.27 inference(quant_inst,[status(thm)],[])).
% 17.00/12.27 tff(32985,plain,
% 17.00/12.27 ((~![VarCurr: $i] : (v144(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex2)))))) | (v144(constB155) <=> (~((~v88(constB155, bitIndex2)) | (~v88(constB155, bitIndex1)) | v88(constB155, bitIndex0))))),
% 17.00/12.27 inference(modus_ponens,[status(thm)],[32984, 32983])).
% 17.00/12.27 tff(32986,plain,
% 17.00/12.27 (v144(constB155) <=> (~((~v88(constB155, bitIndex2)) | (~v88(constB155, bitIndex1)) | v88(constB155, bitIndex0)))),
% 17.00/12.27 inference(unit_resolution,[status(thm)],[32985, 393])).
% 17.00/12.27 tff(32987,plain,
% 17.00/12.27 (((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | ((~less_3(bitIndex2)) | (v88(constB155, bitIndex2) <=> v90(constB155, bitIndex2)))) <=> ((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | (~less_3(bitIndex2)) | (v88(constB155, bitIndex2) <=> v90(constB155, bitIndex2)))),
% 17.00/12.27 inference(rewrite,[status(thm)],[])).
% 17.00/12.27 tff(32988,plain,
% 17.00/12.27 ((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | ((~less_3(bitIndex2)) | (v88(constB155, bitIndex2) <=> v90(constB155, bitIndex2)))),
% 17.00/12.27 inference(quant_inst,[status(thm)],[])).
% 17.00/12.27 tff(32989,plain,
% 17.00/12.27 ((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | (~less_3(bitIndex2)) | (v88(constB155, bitIndex2) <=> v90(constB155, bitIndex2))),
% 17.00/12.27 inference(modus_ponens,[status(thm)],[32988, 32987])).
% 17.00/12.27 tff(32990,plain,
% 17.00/12.27 (v88(constB155, bitIndex2) <=> v90(constB155, bitIndex2)),
% 17.00/12.27 inference(unit_resolution,[status(thm)],[32989, 413, 410])).
% 17.00/12.27 tff(32991,plain,
% 17.00/12.27 ((~(v88(constB155, bitIndex2) <=> v90(constB155, bitIndex2))) | v88(constB155, bitIndex2) | (~v90(constB155, bitIndex2))),
% 17.00/12.27 inference(tautology,[status(thm)],[])).
% 17.00/12.27 tff(32992,plain,
% 17.00/12.27 (v88(constB155, bitIndex2)),
% 17.00/12.27 inference(unit_resolution,[status(thm)],[32991, 22233, 32990])).
% 17.00/12.27 tff(32993,plain,
% 17.00/12.27 (((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | ((~less_3(bitIndex0)) | (v88(constB155, bitIndex0) <=> v90(constB155, bitIndex0)))) <=> ((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | (~less_3(bitIndex0)) | (v88(constB155, bitIndex0) <=> v90(constB155, bitIndex0)))),
% 17.00/12.27 inference(rewrite,[status(thm)],[])).
% 17.00/12.27 tff(32994,plain,
% 17.00/12.27 ((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | ((~less_3(bitIndex0)) | (v88(constB155, bitIndex0) <=> v90(constB155, bitIndex0)))),
% 17.00/12.27 inference(quant_inst,[status(thm)],[])).
% 17.00/12.27 tff(32995,plain,
% 17.00/12.27 ((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | (~less_3(bitIndex0)) | (v88(constB155, bitIndex0) <=> v90(constB155, bitIndex0))),
% 17.00/12.27 inference(modus_ponens,[status(thm)],[32994, 32993])).
% 17.00/12.27 tff(32996,plain,
% 17.00/12.27 (v88(constB155, bitIndex0) <=> v90(constB155, bitIndex0)),
% 17.00/12.27 inference(unit_resolution,[status(thm)],[32995, 5004, 410])).
% 17.00/12.27 tff(32997,plain,
% 17.00/12.27 ((~(v88(constB155, bitIndex0) <=> v90(constB155, bitIndex0))) | (~v88(constB155, bitIndex0)) | v90(constB155, bitIndex0)),
% 17.00/12.27 inference(tautology,[status(thm)],[])).
% 17.00/12.27 tff(32998,plain,
% 17.00/12.27 (~v88(constB155, bitIndex0)),
% 17.00/12.27 inference(unit_resolution,[status(thm)],[32997, 22264, 32996])).
% 17.00/12.27 tff(32999,plain,
% 17.00/12.27 (((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | ((~less_3(bitIndex1)) | (v88(constB155, bitIndex1) <=> v90(constB155, bitIndex1)))) <=> ((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | (~less_3(bitIndex1)) | (v88(constB155, bitIndex1) <=> v90(constB155, bitIndex1)))),
% 17.00/12.27 inference(rewrite,[status(thm)],[])).
% 17.00/12.27 tff(33000,plain,
% 17.00/12.27 ((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | ((~less_3(bitIndex1)) | (v88(constB155, bitIndex1) <=> v90(constB155, bitIndex1)))),
% 17.00/12.27 inference(quant_inst,[status(thm)],[])).
% 17.00/12.27 tff(33001,plain,
% 17.00/12.27 ((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | (~less_3(bitIndex1)) | (v88(constB155, bitIndex1) <=> v90(constB155, bitIndex1))),
% 17.00/12.27 inference(modus_ponens,[status(thm)],[33000, 32999])).
% 17.00/12.27 tff(33002,plain,
% 17.00/12.27 (v88(constB155, bitIndex1) <=> v90(constB155, bitIndex1)),
% 17.00/12.27 inference(unit_resolution,[status(thm)],[33001, 5017, 410])).
% 17.00/12.27 tff(33003,plain,
% 17.00/12.27 ((~(v88(constB155, bitIndex1) <=> v90(constB155, bitIndex1))) | v88(constB155, bitIndex1) | (~v90(constB155, bitIndex1))),
% 17.00/12.27 inference(tautology,[status(thm)],[])).
% 17.00/12.27 tff(33004,plain,
% 17.00/12.27 (v88(constB155, bitIndex1)),
% 17.00/12.27 inference(unit_resolution,[status(thm)],[33003, 22295, 33002])).
% 17.00/12.27 tff(33005,plain,
% 17.00/12.27 ((~((~v88(constB155, bitIndex2)) | (~v88(constB155, bitIndex1)) | v88(constB155, bitIndex0))) | (~v88(constB155, bitIndex2)) | (~v88(constB155, bitIndex1)) | v88(constB155, bitIndex0)),
% 17.00/12.27 inference(tautology,[status(thm)],[])).
% 17.00/12.27 tff(33006,plain,
% 17.00/12.27 (~((~v88(constB155, bitIndex2)) | (~v88(constB155, bitIndex1)) | v88(constB155, bitIndex0))),
% 17.00/12.27 inference(unit_resolution,[status(thm)],[33005, 33004, 32998, 32992])).
% 17.00/12.27 tff(33007,plain,
% 17.00/12.27 ((~(v144(constB155) <=> (~((~v88(constB155, bitIndex2)) | (~v88(constB155, bitIndex1)) | v88(constB155, bitIndex0))))) | v144(constB155) | ((~v88(constB155, bitIndex2)) | (~v88(constB155, bitIndex1)) | v88(constB155, bitIndex0))),
% 17.00/12.27 inference(tautology,[status(thm)],[])).
% 17.00/12.27 tff(33008,plain,
% 17.00/12.27 (v144(constB155)),
% 17.00/12.27 inference(unit_resolution,[status(thm)],[33007, 33006, 32986])).
% 17.00/12.27 tff(33009,plain,
% 17.00/12.27 ((v143(constB155) | v144(constB155)) | (~v144(constB155))),
% 17.00/12.27 inference(tautology,[status(thm)],[])).
% 17.00/12.27 tff(33010,plain,
% 17.00/12.27 (v143(constB155) | v144(constB155)),
% 17.00/12.27 inference(unit_resolution,[status(thm)],[33009, 33008])).
% 17.00/12.27 tff(33011,plain,
% 17.00/12.27 ((~(v142(constB155) <=> (v143(constB155) | v144(constB155)))) | v142(constB155) | (~(v143(constB155) | v144(constB155)))),
% 17.00/12.27 inference(tautology,[status(thm)],[])).
% 17.00/12.27 tff(33012,plain,
% 17.00/12.27 (v142(constB155)),
% 17.00/12.27 inference(unit_resolution,[status(thm)],[33011, 33010, 32979])).
% 17.00/12.27 tff(33013,plain,
% 17.00/12.27 (((~![VarCurr: $i] : (v148(VarCurr) | (~v142(VarCurr)))) | (v148(constB155) | (~v142(constB155)))) <=> ((~![VarCurr: $i] : (v148(VarCurr) | (~v142(VarCurr)))) | v148(constB155) | (~v142(constB155)))),
% 17.00/12.27 inference(rewrite,[status(thm)],[])).
% 17.00/12.27 tff(33014,plain,
% 17.00/12.27 ((~![VarCurr: $i] : (v148(VarCurr) | (~v142(VarCurr)))) | (v148(constB155) | (~v142(constB155)))),
% 17.00/12.27 inference(quant_inst,[status(thm)],[])).
% 17.00/12.27 tff(33015,plain,
% 17.00/12.27 ((~![VarCurr: $i] : (v148(VarCurr) | (~v142(VarCurr)))) | v148(constB155) | (~v142(constB155))),
% 17.00/12.27 inference(modus_ponens,[status(thm)],[33014, 33013])).
% 17.00/12.27 tff(33016,plain,
% 17.00/12.27 (v148(constB155) | (~v142(constB155))),
% 17.00/12.27 inference(unit_resolution,[status(thm)],[33015, 23525])).
% 17.00/12.27 tff(33017,plain,
% 17.00/12.27 (v148(constB155)),
% 17.00/12.27 inference(unit_resolution,[status(thm)],[33016, 33012])).
% 17.00/12.27 tff(33018,plain,
% 17.00/12.27 ((~![VarCurr: $i] : (v135(VarCurr) <=> (v136(VarCurr) | v145(VarCurr)))) | (v135(constB155) <=> (v136(constB155) | v145(constB155)))),
% 17.00/12.27 inference(quant_inst,[status(thm)],[])).
% 17.00/12.27 tff(33019,plain,
% 17.00/12.27 (v135(constB155) <=> (v136(constB155) | v145(constB155))),
% 17.00/12.27 inference(unit_resolution,[status(thm)],[33018, 23537])).
% 17.00/12.27 tff(33020,plain,
% 17.00/12.27 ((~![VarCurr: $i] : (v136(VarCurr) <=> (v137(VarCurr) | v142(VarCurr)))) | (v136(constB155) <=> (v137(constB155) | v142(constB155)))),
% 17.00/12.27 inference(quant_inst,[status(thm)],[])).
% 17.00/12.27 tff(33021,plain,
% 17.00/12.27 (v136(constB155) <=> (v137(constB155) | v142(constB155))),
% 17.00/12.27 inference(unit_resolution,[status(thm)],[33020, 23546])).
% 17.00/12.27 tff(33022,plain,
% 17.00/12.27 ((v137(constB155) | v142(constB155)) | (~v142(constB155))),
% 17.00/12.27 inference(tautology,[status(thm)],[])).
% 17.00/12.27 tff(33023,plain,
% 17.00/12.27 (v137(constB155) | v142(constB155)),
% 17.00/12.27 inference(unit_resolution,[status(thm)],[33022, 33012])).
% 17.00/12.27 tff(33024,plain,
% 17.00/12.27 ((~(v136(constB155) <=> (v137(constB155) | v142(constB155)))) | v136(constB155) | (~(v137(constB155) | v142(constB155)))),
% 17.00/12.27 inference(tautology,[status(thm)],[])).
% 17.00/12.27 tff(33025,plain,
% 17.00/12.27 (v136(constB155)),
% 17.00/12.27 inference(unit_resolution,[status(thm)],[33024, 33023, 33021])).
% 17.00/12.27 tff(33026,plain,
% 17.00/12.27 ((v136(constB155) | v145(constB155)) | (~v136(constB155))),
% 17.00/12.27 inference(tautology,[status(thm)],[])).
% 17.00/12.27 tff(33027,plain,
% 17.00/12.27 (v136(constB155) | v145(constB155)),
% 17.00/12.27 inference(unit_resolution,[status(thm)],[33026, 33025])).
% 17.00/12.27 tff(33028,plain,
% 17.00/12.27 ((~(v135(constB155) <=> (v136(constB155) | v145(constB155)))) | v135(constB155) | (~(v136(constB155) | v145(constB155)))),
% 17.00/12.27 inference(tautology,[status(thm)],[])).
% 17.00/12.27 tff(33029,plain,
% 17.00/12.27 (v135(constB155)),
% 17.00/12.27 inference(unit_resolution,[status(thm)],[33028, 33027, 33019])).
% 17.00/12.27 tff(33030,plain,
% 17.00/12.27 (((~![VarNext: $i] : ((~v135(VarNext)) | (v86(VarNext) <=> v148(VarNext)))) | ((~v135(constB155)) | (v86(constB155) <=> v148(constB155)))) <=> ((~![VarNext: $i] : ((~v135(VarNext)) | (v86(VarNext) <=> v148(VarNext)))) | (~v135(constB155)) | (v86(constB155) <=> v148(constB155)))),
% 17.00/12.27 inference(rewrite,[status(thm)],[])).
% 17.00/12.27 tff(33031,plain,
% 17.00/12.27 ((~![VarNext: $i] : ((~v135(VarNext)) | (v86(VarNext) <=> v148(VarNext)))) | ((~v135(constB155)) | (v86(constB155) <=> v148(constB155)))),
% 17.00/12.27 inference(quant_inst,[status(thm)],[])).
% 17.00/12.27 tff(33032,plain,
% 17.00/12.27 ((~![VarNext: $i] : ((~v135(VarNext)) | (v86(VarNext) <=> v148(VarNext)))) | (~v135(constB155)) | (v86(constB155) <=> v148(constB155))),
% 17.00/12.27 inference(modus_ponens,[status(thm)],[33031, 33030])).
% 17.00/12.27 tff(33033,plain,
% 17.00/12.27 ((~v135(constB155)) | (v86(constB155) <=> v148(constB155))),
% 17.00/12.27 inference(unit_resolution,[status(thm)],[33032, 23566])).
% 17.00/12.27 tff(33034,plain,
% 17.00/12.27 (v86(constB155) <=> v148(constB155)),
% 17.00/12.27 inference(unit_resolution,[status(thm)],[33033, 33029])).
% 17.00/12.27 tff(33035,plain,
% 17.00/12.27 ((~(v86(constB155) <=> v148(constB155))) | v86(constB155) | (~v148(constB155))),
% 17.00/12.27 inference(tautology,[status(thm)],[])).
% 17.00/12.27 tff(33036,plain,
% 17.00/12.27 (v86(constB155)),
% 17.00/12.27 inference(unit_resolution,[status(thm)],[33035, 33034, 33017])).
% 17.00/12.27 tff(33037,plain,
% 17.00/12.27 ($false),
% 17.00/12.27 inference(unit_resolution,[status(thm)],[33036, 32977])).
% 17.00/12.27 tff(33038,plain,(~(constB155 = VarCurr!0)), inference(lemma,lemma(discharge,[]))).
% 17.00/12.27 tff(33039,assumption,(constB105 = VarCurr!0), introduced(assumption)).
% 17.00/12.27 tff(33040,plain,
% 17.00/12.27 (v86(constB105) <=> v86(VarCurr!0)),
% 17.00/12.27 inference(monotonicity,[status(thm)],[33039])).
% 17.00/12.27 tff(33041,plain,
% 17.00/12.27 (v86(VarCurr!0) <=> v86(constB105)),
% 17.00/12.27 inference(symmetry,[status(thm)],[33040])).
% 17.00/12.27 tff(33042,plain,
% 17.00/12.27 ((~v86(VarCurr!0)) <=> (~v86(constB105))),
% 17.00/12.27 inference(monotonicity,[status(thm)],[33041])).
% 17.00/12.27 tff(33043,plain,
% 17.00/12.27 (~v86(constB105)),
% 17.00/12.27 inference(modus_ponens,[status(thm)],[20649, 33042])).
% 17.00/12.27 tff(33044,plain,
% 17.00/12.27 (((~![VarCurr: $i] : (v148(VarCurr) | (~v142(VarCurr)))) | (v148(constB105) | (~v142(constB105)))) <=> ((~![VarCurr: $i] : (v148(VarCurr) | (~v142(VarCurr)))) | v148(constB105) | (~v142(constB105)))),
% 17.00/12.27 inference(rewrite,[status(thm)],[])).
% 17.00/12.27 tff(33045,plain,
% 17.00/12.27 ((~![VarCurr: $i] : (v148(VarCurr) | (~v142(VarCurr)))) | (v148(constB105) | (~v142(constB105)))),
% 17.00/12.27 inference(quant_inst,[status(thm)],[])).
% 17.00/12.27 tff(33046,plain,
% 17.00/12.27 ((~![VarCurr: $i] : (v148(VarCurr) | (~v142(VarCurr)))) | v148(constB105) | (~v142(constB105))),
% 17.00/12.27 inference(modus_ponens,[status(thm)],[33045, 33044])).
% 17.00/12.27 tff(33047,plain,
% 17.00/12.27 (v148(constB105) | (~v142(constB105))),
% 17.00/12.27 inference(unit_resolution,[status(thm)],[33046, 23525])).
% 17.00/12.27 tff(33048,plain,
% 17.00/12.27 (v148(constB105)),
% 17.00/12.27 inference(unit_resolution,[status(thm)],[33047, 31399])).
% 17.00/12.27 tff(33049,plain,
% 17.00/12.27 ((~![VarCurr: $i] : (v135(VarCurr) <=> (v136(VarCurr) | v145(VarCurr)))) | (v135(constB105) <=> (v136(constB105) | v145(constB105)))),
% 17.00/12.27 inference(quant_inst,[status(thm)],[])).
% 17.00/12.27 tff(33050,plain,
% 17.00/12.27 (v135(constB105) <=> (v136(constB105) | v145(constB105))),
% 17.00/12.27 inference(unit_resolution,[status(thm)],[33049, 23537])).
% 17.00/12.27 tff(33051,plain,
% 17.00/12.27 ((~![VarCurr: $i] : (v136(VarCurr) <=> (v137(VarCurr) | v142(VarCurr)))) | (v136(constB105) <=> (v137(constB105) | v142(constB105)))),
% 17.00/12.27 inference(quant_inst,[status(thm)],[])).
% 17.00/12.27 tff(33052,plain,
% 17.00/12.27 (v136(constB105) <=> (v137(constB105) | v142(constB105))),
% 17.00/12.27 inference(unit_resolution,[status(thm)],[33051, 23546])).
% 17.00/12.27 tff(33053,plain,
% 17.00/12.27 ((v137(constB105) | v142(constB105)) | (~v142(constB105))),
% 17.00/12.27 inference(tautology,[status(thm)],[])).
% 17.00/12.27 tff(33054,plain,
% 17.00/12.27 (v137(constB105) | v142(constB105)),
% 17.00/12.27 inference(unit_resolution,[status(thm)],[33053, 31399])).
% 17.00/12.27 tff(33055,plain,
% 17.00/12.27 ((~(v136(constB105) <=> (v137(constB105) | v142(constB105)))) | v136(constB105) | (~(v137(constB105) | v142(constB105)))),
% 17.00/12.27 inference(tautology,[status(thm)],[])).
% 17.00/12.27 tff(33056,plain,
% 17.00/12.27 (v136(constB105)),
% 17.00/12.27 inference(unit_resolution,[status(thm)],[33055, 33054, 33052])).
% 17.00/12.27 tff(33057,plain,
% 17.00/12.27 ((v136(constB105) | v145(constB105)) | (~v136(constB105))),
% 17.00/12.27 inference(tautology,[status(thm)],[])).
% 17.00/12.27 tff(33058,plain,
% 17.00/12.27 (v136(constB105) | v145(constB105)),
% 17.00/12.27 inference(unit_resolution,[status(thm)],[33057, 33056])).
% 17.00/12.27 tff(33059,plain,
% 17.00/12.27 ((~(v135(constB105) <=> (v136(constB105) | v145(constB105)))) | v135(constB105) | (~(v136(constB105) | v145(constB105)))),
% 17.00/12.27 inference(tautology,[status(thm)],[])).
% 17.00/12.27 tff(33060,plain,
% 17.00/12.27 (v135(constB105)),
% 17.00/12.27 inference(unit_resolution,[status(thm)],[33059, 33058, 33050])).
% 17.00/12.27 tff(33061,plain,
% 17.00/12.27 (((~![VarNext: $i] : ((~v135(VarNext)) | (v86(VarNext) <=> v148(VarNext)))) | ((~v135(constB105)) | (v86(constB105) <=> v148(constB105)))) <=> ((~![VarNext: $i] : ((~v135(VarNext)) | (v86(VarNext) <=> v148(VarNext)))) | (~v135(constB105)) | (v86(constB105) <=> v148(constB105)))),
% 17.00/12.27 inference(rewrite,[status(thm)],[])).
% 17.00/12.28 tff(33062,plain,
% 17.00/12.28 ((~![VarNext: $i] : ((~v135(VarNext)) | (v86(VarNext) <=> v148(VarNext)))) | ((~v135(constB105)) | (v86(constB105) <=> v148(constB105)))),
% 17.00/12.28 inference(quant_inst,[status(thm)],[])).
% 17.00/12.28 tff(33063,plain,
% 17.00/12.28 ((~![VarNext: $i] : ((~v135(VarNext)) | (v86(VarNext) <=> v148(VarNext)))) | (~v135(constB105)) | (v86(constB105) <=> v148(constB105))),
% 17.00/12.28 inference(modus_ponens,[status(thm)],[33062, 33061])).
% 17.00/12.28 tff(33064,plain,
% 17.00/12.28 ((~v135(constB105)) | (v86(constB105) <=> v148(constB105))),
% 17.00/12.28 inference(unit_resolution,[status(thm)],[33063, 23566])).
% 17.00/12.28 tff(33065,plain,
% 17.00/12.28 (v86(constB105) <=> v148(constB105)),
% 17.00/12.28 inference(unit_resolution,[status(thm)],[33064, 33060])).
% 17.00/12.28 tff(33066,plain,
% 17.00/12.28 ((~(v86(constB105) <=> v148(constB105))) | v86(constB105) | (~v148(constB105))),
% 17.00/12.28 inference(tautology,[status(thm)],[])).
% 17.00/12.28 tff(33067,plain,
% 17.00/12.28 (v86(constB105)),
% 17.00/12.28 inference(unit_resolution,[status(thm)],[33066, 33065, 33048])).
% 17.00/12.28 tff(33068,plain,
% 17.00/12.28 ($false),
% 17.00/12.28 inference(unit_resolution,[status(thm)],[33067, 33043])).
% 17.00/12.28 tff(33069,plain,(~(constB105 = VarCurr!0)), inference(lemma,lemma(discharge,[]))).
% 17.00/12.28 tff(33070,assumption,(constB33 = VarCurr!0), introduced(assumption)).
% 17.00/12.28 tff(33071,plain,
% 17.00/12.28 (v193(constB33) <=> v193(VarCurr!0)),
% 17.00/12.28 inference(monotonicity,[status(thm)],[33070])).
% 17.00/12.28 tff(33072,plain,
% 17.00/12.28 (v193(VarCurr!0) <=> v193(constB33)),
% 17.00/12.28 inference(symmetry,[status(thm)],[33071])).
% 17.00/12.28 tff(33073,plain,
% 17.00/12.28 (v193(constB33)),
% 17.00/12.28 inference(modus_ponens,[status(thm)],[59, 33072])).
% 17.00/12.28 tff(33074,plain,
% 17.00/12.28 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v193(VarNext) <=> v191(VarCurr)))) | ((~nextState(constB32, constB33)) | (v193(constB33) <=> v191(constB32)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v193(VarNext) <=> v191(VarCurr)))) | (~nextState(constB32, constB33)) | (v193(constB33) <=> v191(constB32)))),
% 17.00/12.28 inference(rewrite,[status(thm)],[])).
% 17.00/12.28 tff(33075,plain,
% 17.00/12.28 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v193(VarNext) <=> v191(VarCurr)))) | ((~nextState(constB32, constB33)) | (v193(constB33) <=> v191(constB32)))),
% 17.00/12.28 inference(quant_inst,[status(thm)],[])).
% 17.00/12.28 tff(33076,plain,
% 17.00/12.28 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v193(VarNext) <=> v191(VarCurr)))) | (~nextState(constB32, constB33)) | (v193(constB33) <=> v191(constB32))),
% 17.00/12.28 inference(modus_ponens,[status(thm)],[33075, 33074])).
% 17.00/12.28 tff(33077,plain,
% 17.00/12.28 (v193(constB33) <=> v191(constB32)),
% 17.00/12.28 inference(unit_resolution,[status(thm)],[33076, 3482, 70])).
% 17.00/12.28 tff(33078,plain,
% 17.00/12.28 ((~![VarCurr: $i] : (v191(VarCurr) <=> (v194(VarCurr) | v198(VarCurr)))) | (v191(constB32) <=> (v194(constB32) | v198(constB32)))),
% 17.00/12.28 inference(quant_inst,[status(thm)],[])).
% 17.00/12.28 tff(33079,plain,
% 17.00/12.28 (v191(constB32) <=> (v194(constB32) | v198(constB32))),
% 17.00/12.28 inference(unit_resolution,[status(thm)],[33078, 84])).
% 17.00/12.28 tff(33080,plain,
% 17.00/12.28 ((~![VarCurr: $i] : (v198(VarCurr) <=> (~((~v199(VarCurr)) | (~v200(VarCurr)))))) | (v198(constB32) <=> (~((~v199(constB32)) | (~v200(constB32)))))),
% 17.00/12.28 inference(quant_inst,[status(thm)],[])).
% 17.00/12.28 tff(33081,plain,
% 17.00/12.28 (v198(constB32) <=> (~((~v199(constB32)) | (~v200(constB32))))),
% 17.00/12.28 inference(unit_resolution,[status(thm)],[33080, 96])).
% 17.00/12.28 tff(33082,plain,
% 17.00/12.28 ((~![VarCurr: $i] : (v200(VarCurr) <=> (~((~v197(VarCurr)) | (~v201(VarCurr)))))) | (v200(constB32) <=> (~((~v197(constB32)) | (~v201(constB32)))))),
% 17.00/12.28 inference(quant_inst,[status(thm)],[])).
% 17.00/12.28 tff(33083,plain,
% 17.00/12.28 (v200(constB32) <=> (~((~v197(constB32)) | (~v201(constB32))))),
% 17.00/12.28 inference(unit_resolution,[status(thm)],[33082, 108])).
% 17.00/12.28 tff(33084,plain,
% 17.00/12.28 ((~![VarCurr: $i] : (v197(VarCurr) <=> (~((~v39(VarCurr)) | (~v9(VarCurr)))))) | (v197(constB32) <=> (~((~v39(constB32)) | (~v9(constB32)))))),
% 17.00/12.28 inference(quant_inst,[status(thm)],[])).
% 17.00/12.28 tff(33085,plain,
% 17.00/12.28 (v197(constB32) <=> (~((~v39(constB32)) | (~v9(constB32))))),
% 17.00/12.28 inference(unit_resolution,[status(thm)],[33084, 120])).
% 17.00/12.28 tff(33086,plain,
% 17.00/12.28 ((~![VarCurr: $i] : ((~v39(VarCurr)) <=> v1(VarCurr))) | ((~v39(constB32)) <=> v1(constB32))),
% 17.00/12.28 inference(quant_inst,[status(thm)],[])).
% 17.00/12.28 tff(33087,plain,
% 17.00/12.28 ((~v39(constB32)) <=> v1(constB32)),
% 17.00/12.28 inference(unit_resolution,[status(thm)],[33086, 129])).
% 17.00/12.28 tff(33088,plain,
% 17.00/12.28 ((~((~v39(constB32)) <=> v1(constB32))) | (~v39(constB32)) | (~v1(constB32))),
% 17.00/12.28 inference(tautology,[status(thm)],[])).
% 17.00/12.28 tff(33089,plain,
% 17.00/12.28 ((~((~v39(constB32)) <=> v1(constB32))) | (~v39(constB32))),
% 17.00/12.28 inference(unit_resolution,[status(thm)],[33088, 3544])).
% 17.00/12.28 tff(33090,plain,
% 17.00/12.28 (~v39(constB32)),
% 17.00/12.28 inference(unit_resolution,[status(thm)],[33089, 33087])).
% 17.00/12.28 tff(33091,plain,
% 17.00/12.28 (((~v39(constB32)) | (~v9(constB32))) | v39(constB32)),
% 17.00/12.28 inference(tautology,[status(thm)],[])).
% 17.00/12.28 tff(33092,plain,
% 17.00/12.28 ((~v39(constB32)) | (~v9(constB32))),
% 17.00/12.28 inference(unit_resolution,[status(thm)],[33091, 33090])).
% 17.00/12.28 tff(33093,plain,
% 17.00/12.28 ((~(v197(constB32) <=> (~((~v39(constB32)) | (~v9(constB32)))))) | (~v197(constB32)) | (~((~v39(constB32)) | (~v9(constB32))))),
% 17.00/12.28 inference(tautology,[status(thm)],[])).
% 17.00/12.28 tff(33094,plain,
% 17.00/12.28 ((~(v197(constB32) <=> (~((~v39(constB32)) | (~v9(constB32)))))) | (~v197(constB32))),
% 17.00/12.28 inference(unit_resolution,[status(thm)],[33093, 33092])).
% 17.00/12.28 tff(33095,plain,
% 17.00/12.28 (~v197(constB32)),
% 17.00/12.28 inference(unit_resolution,[status(thm)],[33094, 33085])).
% 17.00/12.28 tff(33096,plain,
% 17.00/12.28 (((~v197(constB32)) | (~v201(constB32))) | v197(constB32)),
% 17.00/12.28 inference(tautology,[status(thm)],[])).
% 17.00/12.28 tff(33097,plain,
% 17.00/12.28 ((~v197(constB32)) | (~v201(constB32))),
% 17.00/12.28 inference(unit_resolution,[status(thm)],[33096, 33095])).
% 17.00/12.28 tff(33098,plain,
% 17.00/12.28 ((~(v200(constB32) <=> (~((~v197(constB32)) | (~v201(constB32)))))) | (~v200(constB32)) | (~((~v197(constB32)) | (~v201(constB32))))),
% 17.00/12.28 inference(tautology,[status(thm)],[])).
% 17.00/12.28 tff(33099,plain,
% 17.00/12.28 ((~(v200(constB32) <=> (~((~v197(constB32)) | (~v201(constB32)))))) | (~v200(constB32))),
% 17.00/12.28 inference(unit_resolution,[status(thm)],[33098, 33097])).
% 17.00/12.28 tff(33100,plain,
% 17.00/12.28 (~v200(constB32)),
% 17.00/12.28 inference(unit_resolution,[status(thm)],[33099, 33083])).
% 17.00/12.28 tff(33101,plain,
% 17.00/12.28 (((~v199(constB32)) | (~v200(constB32))) | v200(constB32)),
% 17.00/12.28 inference(tautology,[status(thm)],[])).
% 17.00/12.28 tff(33102,plain,
% 17.00/12.28 ((~v199(constB32)) | (~v200(constB32))),
% 17.00/12.28 inference(unit_resolution,[status(thm)],[33101, 33100])).
% 17.00/12.28 tff(33103,plain,
% 17.00/12.28 ((~(v198(constB32) <=> (~((~v199(constB32)) | (~v200(constB32)))))) | (~v198(constB32)) | (~((~v199(constB32)) | (~v200(constB32))))),
% 17.00/12.28 inference(tautology,[status(thm)],[])).
% 17.00/12.28 tff(33104,plain,
% 17.00/12.28 (~v198(constB32)),
% 17.00/12.28 inference(unit_resolution,[status(thm)],[33103, 33102, 33081])).
% 17.00/12.28 tff(33105,plain,
% 17.00/12.28 (((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB32) <=> (~((~v157(constB32)) | (~v195(constB32)))))) <=> ((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB32) <=> (~((~v157(constB32)) | (~v195(constB32))))))),
% 17.00/12.28 inference(rewrite,[status(thm)],[])).
% 17.00/12.28 tff(33106,plain,
% 17.00/12.28 ((v194(constB32) <=> (~((~v195(constB32)) | (~v157(constB32))))) <=> (v194(constB32) <=> (~((~v157(constB32)) | (~v195(constB32)))))),
% 17.00/12.28 inference(rewrite,[status(thm)],[])).
% 17.00/12.28 tff(33107,plain,
% 17.00/12.28 (((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB32) <=> (~((~v195(constB32)) | (~v157(constB32)))))) <=> ((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB32) <=> (~((~v157(constB32)) | (~v195(constB32))))))),
% 17.00/12.28 inference(monotonicity,[status(thm)],[33106])).
% 17.00/12.28 tff(33108,plain,
% 17.00/12.28 (((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB32) <=> (~((~v195(constB32)) | (~v157(constB32)))))) <=> ((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB32) <=> (~((~v157(constB32)) | (~v195(constB32))))))),
% 17.00/12.28 inference(transitivity,[status(thm)],[33107, 33105])).
% 17.00/12.28 tff(33109,plain,
% 17.00/12.28 ((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB32) <=> (~((~v195(constB32)) | (~v157(constB32)))))),
% 17.00/12.28 inference(quant_inst,[status(thm)],[])).
% 17.00/12.28 tff(33110,plain,
% 17.00/12.28 ((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB32) <=> (~((~v157(constB32)) | (~v195(constB32)))))),
% 17.00/12.28 inference(modus_ponens,[status(thm)],[33109, 33108])).
% 17.00/12.28 tff(33111,plain,
% 17.00/12.28 (v194(constB32) <=> (~((~v157(constB32)) | (~v195(constB32))))),
% 17.00/12.28 inference(unit_resolution,[status(thm)],[33110, 161])).
% 17.00/12.28 tff(33112,plain,
% 17.00/12.28 ((~![VarNext: $i] : (v157(VarNext) <=> v193(VarNext))) | (v157(constB32) <=> v193(constB32))),
% 17.00/12.28 inference(quant_inst,[status(thm)],[])).
% 17.00/12.28 tff(33113,plain,
% 17.00/12.28 (v157(constB32) <=> v193(constB32)),
% 17.00/12.28 inference(unit_resolution,[status(thm)],[33112, 13])).
% 17.00/12.28 tff(33114,plain,
% 17.00/12.28 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v193(VarNext) <=> v191(VarCurr)))) | ((~nextState(constB31, constB32)) | (v193(constB32) <=> v191(constB31)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v193(VarNext) <=> v191(VarCurr)))) | (~nextState(constB31, constB32)) | (v193(constB32) <=> v191(constB31)))),
% 17.00/12.28 inference(rewrite,[status(thm)],[])).
% 17.00/12.28 tff(33115,plain,
% 17.00/12.28 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v193(VarNext) <=> v191(VarCurr)))) | ((~nextState(constB31, constB32)) | (v193(constB32) <=> v191(constB31)))),
% 17.00/12.28 inference(quant_inst,[status(thm)],[])).
% 17.00/12.28 tff(33116,plain,
% 17.00/12.28 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v193(VarNext) <=> v191(VarCurr)))) | (~nextState(constB31, constB32)) | (v193(constB32) <=> v191(constB31))),
% 17.00/12.28 inference(modus_ponens,[status(thm)],[33115, 33114])).
% 17.00/12.28 tff(33117,plain,
% 17.00/12.28 (v193(constB32) <=> v191(constB31)),
% 17.00/12.28 inference(unit_resolution,[status(thm)],[33116, 3514, 70])).
% 17.00/12.28 tff(33118,plain,
% 17.00/12.28 ((~![VarCurr: $i] : (v191(VarCurr) <=> (v194(VarCurr) | v198(VarCurr)))) | (v191(constB31) <=> (v194(constB31) | v198(constB31)))),
% 17.00/12.28 inference(quant_inst,[status(thm)],[])).
% 17.00/12.28 tff(33119,plain,
% 17.00/12.28 (v191(constB31) <=> (v194(constB31) | v198(constB31))),
% 17.00/12.28 inference(unit_resolution,[status(thm)],[33118, 84])).
% 17.00/12.28 tff(33120,plain,
% 17.00/12.28 (((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB31) <=> (~((~v157(constB31)) | (~v195(constB31)))))) <=> ((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB31) <=> (~((~v157(constB31)) | (~v195(constB31))))))),
% 17.00/12.28 inference(rewrite,[status(thm)],[])).
% 17.00/12.28 tff(33121,plain,
% 17.00/12.28 ((v194(constB31) <=> (~((~v195(constB31)) | (~v157(constB31))))) <=> (v194(constB31) <=> (~((~v157(constB31)) | (~v195(constB31)))))),
% 17.00/12.28 inference(rewrite,[status(thm)],[])).
% 17.00/12.28 tff(33122,plain,
% 17.00/12.28 (((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB31) <=> (~((~v195(constB31)) | (~v157(constB31)))))) <=> ((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB31) <=> (~((~v157(constB31)) | (~v195(constB31))))))),
% 17.00/12.28 inference(monotonicity,[status(thm)],[33121])).
% 17.00/12.28 tff(33123,plain,
% 17.00/12.28 (((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB31) <=> (~((~v195(constB31)) | (~v157(constB31)))))) <=> ((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB31) <=> (~((~v157(constB31)) | (~v195(constB31))))))),
% 17.00/12.28 inference(transitivity,[status(thm)],[33122, 33120])).
% 17.00/12.28 tff(33124,plain,
% 17.00/12.28 ((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB31) <=> (~((~v195(constB31)) | (~v157(constB31)))))),
% 17.00/12.28 inference(quant_inst,[status(thm)],[])).
% 17.00/12.28 tff(33125,plain,
% 17.00/12.28 ((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB31) <=> (~((~v157(constB31)) | (~v195(constB31)))))),
% 17.00/12.28 inference(modus_ponens,[status(thm)],[33124, 33123])).
% 17.00/12.28 tff(33126,plain,
% 17.00/12.28 (v194(constB31) <=> (~((~v157(constB31)) | (~v195(constB31))))),
% 17.00/12.28 inference(unit_resolution,[status(thm)],[33125, 161])).
% 17.00/12.28 tff(33127,plain,
% 17.00/12.28 ((~![VarCurr: $i] : ((~v195(VarCurr)) <=> v196(VarCurr))) | ((~v195(constB31)) <=> v196(constB31))),
% 17.00/12.28 inference(quant_inst,[status(thm)],[])).
% 17.08/12.28 tff(33128,plain,
% 17.08/12.28 ((~v195(constB31)) <=> v196(constB31)),
% 17.08/12.28 inference(unit_resolution,[status(thm)],[33127, 193])).
% 17.08/12.28 tff(33129,plain,
% 17.08/12.28 ((~![VarCurr: $i] : (v196(VarCurr) <=> (v197(VarCurr) | v26(VarCurr)))) | (v196(constB31) <=> (v197(constB31) | v26(constB31)))),
% 17.08/12.28 inference(quant_inst,[status(thm)],[])).
% 17.08/12.28 tff(33130,plain,
% 17.08/12.28 (v196(constB31) <=> (v197(constB31) | v26(constB31))),
% 17.08/12.28 inference(unit_resolution,[status(thm)],[33129, 202])).
% 17.08/12.28 tff(33131,plain,
% 17.08/12.28 ((~![VarCurr: $i] : (v197(VarCurr) <=> (~((~v39(VarCurr)) | (~v9(VarCurr)))))) | (v197(constB31) <=> (~((~v39(constB31)) | (~v9(constB31)))))),
% 17.08/12.28 inference(quant_inst,[status(thm)],[])).
% 17.08/12.28 tff(33132,plain,
% 17.08/12.28 (v197(constB31) <=> (~((~v39(constB31)) | (~v9(constB31))))),
% 17.08/12.28 inference(unit_resolution,[status(thm)],[33131, 120])).
% 17.08/12.28 tff(33133,plain,
% 17.08/12.28 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | ((~nextState(constB31, constB32)) | (v13(constB32) <=> v9(constB31)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | (~nextState(constB31, constB32)) | (v13(constB32) <=> v9(constB31)))),
% 17.08/12.28 inference(rewrite,[status(thm)],[])).
% 17.08/12.28 tff(33134,plain,
% 17.08/12.28 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | ((~nextState(constB31, constB32)) | (v13(constB32) <=> v9(constB31)))),
% 17.08/12.28 inference(quant_inst,[status(thm)],[])).
% 17.08/12.28 tff(33135,plain,
% 17.08/12.28 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | (~nextState(constB31, constB32)) | (v13(constB32) <=> v9(constB31))),
% 17.08/12.28 inference(modus_ponens,[status(thm)],[33134, 33133])).
% 17.08/12.28 tff(33136,plain,
% 17.08/12.28 (v13(constB32) <=> v9(constB31)),
% 17.08/12.28 inference(unit_resolution,[status(thm)],[33135, 3514, 216])).
% 17.08/12.28 tff(33137,plain,
% 17.08/12.28 ((~![VarNext: $i] : (v6(VarNext) <=> v13(VarNext))) | (v6(constB32) <=> v13(constB32))),
% 17.08/12.28 inference(quant_inst,[status(thm)],[])).
% 17.08/12.28 tff(33138,plain,
% 17.08/12.28 (v6(constB32) <=> v13(constB32)),
% 17.08/12.28 inference(unit_resolution,[status(thm)],[33137, 230])).
% 17.08/12.28 tff(33139,plain,
% 17.08/12.28 ((~![VarCurr: $i] : ((~v21(VarCurr)) <=> v6(VarCurr))) | ((~v21(constB32)) <=> v6(constB32))),
% 17.08/12.28 inference(quant_inst,[status(thm)],[])).
% 17.08/12.28 tff(33140,plain,
% 17.08/12.28 ((~v21(constB32)) <=> v6(constB32)),
% 17.08/12.28 inference(unit_resolution,[status(thm)],[33139, 239])).
% 17.08/12.28 tff(33141,plain,
% 17.08/12.28 ((~![VarCurr: $i] : (v19(VarCurr) <=> (v20(VarCurr) | v21(VarCurr)))) | (v19(constB32) <=> (v20(constB32) | v21(constB32)))),
% 17.08/12.28 inference(quant_inst,[status(thm)],[])).
% 17.08/12.28 tff(33142,plain,
% 17.08/12.28 (v19(constB32) <=> (v20(constB32) | v21(constB32))),
% 17.08/12.28 inference(unit_resolution,[status(thm)],[33141, 248])).
% 17.08/12.28 tff(33143,plain,
% 17.08/12.28 ((~![VarCurr: $i] : (v18(VarCurr) <=> (~((~v19(VarCurr)) | (~v22(VarCurr)))))) | (v18(constB32) <=> (~((~v19(constB32)) | (~v22(constB32)))))),
% 17.08/12.28 inference(quant_inst,[status(thm)],[])).
% 17.08/12.28 tff(33144,plain,
% 17.08/12.28 (v18(constB32) <=> (~((~v19(constB32)) | (~v22(constB32))))),
% 17.08/12.28 inference(unit_resolution,[status(thm)],[33143, 260])).
% 17.08/12.28 tff(33145,plain,
% 17.08/12.28 ((~![VarCurr: $i] : ((~v4(VarCurr)) <=> v18(VarCurr))) | ((~v4(constB32)) <=> v18(constB32))),
% 17.08/12.28 inference(quant_inst,[status(thm)],[])).
% 17.08/12.28 tff(33146,plain,
% 17.08/12.28 ((~v4(constB32)) <=> v18(constB32)),
% 17.08/12.28 inference(unit_resolution,[status(thm)],[33145, 269])).
% 17.08/12.28 tff(33147,plain,
% 17.08/12.28 ((~![VarCurr: $i] : v4(VarCurr)) | v4(constB32)),
% 17.08/12.28 inference(quant_inst,[status(thm)],[])).
% 17.08/12.28 tff(33148,plain,
% 17.08/12.28 (v4(constB32)),
% 17.08/12.28 inference(unit_resolution,[status(thm)],[33147, 278])).
% 17.08/12.28 tff(33149,plain,
% 17.08/12.28 ((~((~v4(constB32)) <=> v18(constB32))) | (~v4(constB32)) | (~v18(constB32))),
% 17.08/12.28 inference(tautology,[status(thm)],[])).
% 17.08/12.28 tff(33150,plain,
% 17.08/12.28 (~v18(constB32)),
% 17.08/12.28 inference(unit_resolution,[status(thm)],[33149, 33148, 33146])).
% 17.08/12.28 tff(33151,plain,
% 17.08/12.28 ((~(v18(constB32) <=> (~((~v19(constB32)) | (~v22(constB32)))))) | v18(constB32) | ((~v19(constB32)) | (~v22(constB32)))),
% 17.08/12.28 inference(tautology,[status(thm)],[])).
% 17.08/12.28 tff(33152,plain,
% 17.08/12.28 ((~v19(constB32)) | (~v22(constB32))),
% 17.08/12.28 inference(unit_resolution,[status(thm)],[33151, 33150, 33144])).
% 17.08/12.28 tff(33153,plain,
% 17.08/12.28 ((~![VarCurr: $i] : (v22(VarCurr) <=> (v1(VarCurr) | v6(VarCurr)))) | (v22(constB32) <=> (v1(constB32) | v6(constB32)))),
% 17.08/12.28 inference(quant_inst,[status(thm)],[])).
% 17.08/12.28 tff(33154,plain,
% 17.08/12.28 (v22(constB32) <=> (v1(constB32) | v6(constB32))),
% 17.08/12.28 inference(unit_resolution,[status(thm)],[33153, 291])).
% 17.08/12.28 tff(33155,plain,
% 17.08/12.28 ((v1(constB32) | v6(constB32)) | (~v1(constB32))),
% 17.08/12.28 inference(tautology,[status(thm)],[])).
% 17.08/12.28 tff(33156,plain,
% 17.08/12.28 (v1(constB32) | v6(constB32)),
% 17.08/12.28 inference(unit_resolution,[status(thm)],[33155, 3544])).
% 17.08/12.28 tff(33157,plain,
% 17.08/12.28 ((~(v22(constB32) <=> (v1(constB32) | v6(constB32)))) | v22(constB32) | (~(v1(constB32) | v6(constB32)))),
% 17.08/12.28 inference(tautology,[status(thm)],[])).
% 17.08/12.28 tff(33158,plain,
% 17.08/12.28 ((~(v22(constB32) <=> (v1(constB32) | v6(constB32)))) | v22(constB32)),
% 17.08/12.28 inference(unit_resolution,[status(thm)],[33157, 33156])).
% 17.08/12.28 tff(33159,plain,
% 17.08/12.28 (v22(constB32)),
% 17.08/12.28 inference(unit_resolution,[status(thm)],[33158, 33154])).
% 17.08/12.28 tff(33160,plain,
% 17.08/12.28 ((~((~v19(constB32)) | (~v22(constB32)))) | (~v19(constB32)) | (~v22(constB32))),
% 17.08/12.28 inference(tautology,[status(thm)],[])).
% 17.08/12.28 tff(33161,plain,
% 17.08/12.28 ((~((~v19(constB32)) | (~v22(constB32)))) | (~v19(constB32))),
% 17.08/12.28 inference(unit_resolution,[status(thm)],[33160, 33159])).
% 17.08/12.28 tff(33162,plain,
% 17.08/12.28 (~v19(constB32)),
% 17.08/12.28 inference(unit_resolution,[status(thm)],[33161, 33152])).
% 17.08/12.28 tff(33163,plain,
% 17.08/12.28 ((~(v19(constB32) <=> (v20(constB32) | v21(constB32)))) | v19(constB32) | (~(v20(constB32) | v21(constB32)))),
% 17.08/12.28 inference(tautology,[status(thm)],[])).
% 17.08/12.28 tff(33164,plain,
% 17.08/12.28 (~(v20(constB32) | v21(constB32))),
% 17.08/12.28 inference(unit_resolution,[status(thm)],[33163, 33162, 33142])).
% 17.08/12.28 tff(33165,plain,
% 17.08/12.28 ((v20(constB32) | v21(constB32)) | (~v21(constB32))),
% 17.08/12.28 inference(tautology,[status(thm)],[])).
% 17.08/12.28 tff(33166,plain,
% 17.08/12.28 (~v21(constB32)),
% 17.08/12.28 inference(unit_resolution,[status(thm)],[33165, 33164])).
% 17.08/12.28 tff(33167,plain,
% 17.08/12.28 ((~((~v21(constB32)) <=> v6(constB32))) | v21(constB32) | v6(constB32)),
% 17.08/12.28 inference(tautology,[status(thm)],[])).
% 17.08/12.28 tff(33168,plain,
% 17.08/12.28 (v6(constB32)),
% 17.08/12.28 inference(unit_resolution,[status(thm)],[33167, 33166, 33140])).
% 17.08/12.28 tff(33169,plain,
% 17.08/12.28 ((~(v6(constB32) <=> v13(constB32))) | (~v6(constB32)) | v13(constB32)),
% 17.08/12.28 inference(tautology,[status(thm)],[])).
% 17.08/12.28 tff(33170,plain,
% 17.08/12.28 (v13(constB32)),
% 17.08/12.28 inference(unit_resolution,[status(thm)],[33169, 33168, 33138])).
% 17.08/12.28 tff(33171,plain,
% 17.08/12.28 ((~(v13(constB32) <=> v9(constB31))) | (~v13(constB32)) | v9(constB31)),
% 17.08/12.28 inference(tautology,[status(thm)],[])).
% 17.08/12.28 tff(33172,plain,
% 17.08/12.28 (v9(constB31)),
% 17.08/12.28 inference(unit_resolution,[status(thm)],[33171, 33170, 33136])).
% 17.08/12.28 tff(33173,plain,
% 17.08/12.28 ((~![VarCurr: $i] : ((~v39(VarCurr)) <=> v1(VarCurr))) | ((~v39(constB31)) <=> v1(constB31))),
% 17.08/12.28 inference(quant_inst,[status(thm)],[])).
% 17.08/12.28 tff(33174,plain,
% 17.08/12.28 ((~v39(constB31)) <=> v1(constB31)),
% 17.08/12.28 inference(unit_resolution,[status(thm)],[33173, 129])).
% 17.08/12.28 tff(33175,plain,
% 17.08/12.28 ((~((~v39(constB31)) <=> v1(constB31))) | v39(constB31) | v1(constB31)),
% 17.08/12.28 inference(tautology,[status(thm)],[])).
% 17.08/12.29 tff(33176,plain,
% 17.08/12.29 ((~((~v39(constB31)) <=> v1(constB31))) | v39(constB31)),
% 17.08/12.29 inference(unit_resolution,[status(thm)],[33175, 3536])).
% 17.08/12.29 tff(33177,plain,
% 17.08/12.29 (v39(constB31)),
% 17.08/12.29 inference(unit_resolution,[status(thm)],[33176, 33174])).
% 17.08/12.29 tff(33178,plain,
% 17.08/12.29 ((~((~v39(constB31)) | (~v9(constB31)))) | (~v39(constB31)) | (~v9(constB31))),
% 17.08/12.29 inference(tautology,[status(thm)],[])).
% 17.08/12.29 tff(33179,plain,
% 17.08/12.29 ((~((~v39(constB31)) | (~v9(constB31)))) | (~v9(constB31))),
% 17.08/12.29 inference(unit_resolution,[status(thm)],[33178, 33177])).
% 17.08/12.29 tff(33180,plain,
% 17.08/12.29 (~((~v39(constB31)) | (~v9(constB31)))),
% 17.08/12.29 inference(unit_resolution,[status(thm)],[33179, 33172])).
% 17.08/12.29 tff(33181,plain,
% 17.08/12.29 ((~(v197(constB31) <=> (~((~v39(constB31)) | (~v9(constB31)))))) | v197(constB31) | ((~v39(constB31)) | (~v9(constB31)))),
% 17.08/12.29 inference(tautology,[status(thm)],[])).
% 17.08/12.29 tff(33182,plain,
% 17.08/12.29 (v197(constB31)),
% 17.08/12.29 inference(unit_resolution,[status(thm)],[33181, 33180, 33132])).
% 17.08/12.29 tff(33183,plain,
% 17.08/12.29 ((v197(constB31) | v26(constB31)) | (~v197(constB31))),
% 17.08/12.29 inference(tautology,[status(thm)],[])).
% 17.08/12.29 tff(33184,plain,
% 17.08/12.29 (v197(constB31) | v26(constB31)),
% 17.08/12.29 inference(unit_resolution,[status(thm)],[33183, 33182])).
% 17.08/12.29 tff(33185,plain,
% 17.08/12.29 ((~(v196(constB31) <=> (v197(constB31) | v26(constB31)))) | v196(constB31) | (~(v197(constB31) | v26(constB31)))),
% 17.08/12.29 inference(tautology,[status(thm)],[])).
% 17.08/12.29 tff(33186,plain,
% 17.08/12.29 (v196(constB31)),
% 17.08/12.29 inference(unit_resolution,[status(thm)],[33185, 33184, 33130])).
% 17.08/12.29 tff(33187,plain,
% 17.08/12.29 ((~((~v195(constB31)) <=> v196(constB31))) | (~v195(constB31)) | (~v196(constB31))),
% 17.08/12.29 inference(tautology,[status(thm)],[])).
% 17.08/12.29 tff(33188,plain,
% 17.08/12.29 (~v195(constB31)),
% 17.08/12.29 inference(unit_resolution,[status(thm)],[33187, 33186, 33128])).
% 17.08/12.29 tff(33189,plain,
% 17.08/12.29 (((~v157(constB31)) | (~v195(constB31))) | v195(constB31)),
% 17.08/12.29 inference(tautology,[status(thm)],[])).
% 17.08/12.29 tff(33190,plain,
% 17.08/12.29 ((~v157(constB31)) | (~v195(constB31))),
% 17.08/12.29 inference(unit_resolution,[status(thm)],[33189, 33188])).
% 17.08/12.29 tff(33191,plain,
% 17.08/12.29 ((~(v194(constB31) <=> (~((~v157(constB31)) | (~v195(constB31)))))) | (~v194(constB31)) | (~((~v157(constB31)) | (~v195(constB31))))),
% 17.08/12.29 inference(tautology,[status(thm)],[])).
% 17.08/12.29 tff(33192,plain,
% 17.08/12.29 (~v194(constB31)),
% 17.08/12.29 inference(unit_resolution,[status(thm)],[33191, 33190, 33126])).
% 17.08/12.29 tff(33193,plain,
% 17.08/12.29 ((~![VarCurr: $i] : (v198(VarCurr) <=> (~((~v199(VarCurr)) | (~v200(VarCurr)))))) | (v198(constB31) <=> (~((~v199(constB31)) | (~v200(constB31)))))),
% 17.08/12.29 inference(quant_inst,[status(thm)],[])).
% 17.08/12.29 tff(33194,plain,
% 17.08/12.29 (v198(constB31) <=> (~((~v199(constB31)) | (~v200(constB31))))),
% 17.08/12.29 inference(unit_resolution,[status(thm)],[33193, 96])).
% 17.08/12.29 tff(33195,plain,
% 17.08/12.29 ((~![VarCurr: $i] : (v200(VarCurr) <=> (~((~v197(VarCurr)) | (~v201(VarCurr)))))) | (v200(constB31) <=> (~((~v197(constB31)) | (~v201(constB31)))))),
% 17.08/12.29 inference(quant_inst,[status(thm)],[])).
% 17.08/12.29 tff(33196,plain,
% 17.08/12.29 (v200(constB31) <=> (~((~v197(constB31)) | (~v201(constB31))))),
% 17.08/12.29 inference(unit_resolution,[status(thm)],[33195, 108])).
% 17.08/12.29 tff(33197,plain,
% 17.08/12.29 ((~![VarCurr: $i] : (v201(VarCurr) <=> (~((~v159(VarCurr)) | (~v161(VarCurr)))))) | (v201(constB31) <=> (~((~v159(constB31)) | (~v161(constB31)))))),
% 17.08/12.29 inference(quant_inst,[status(thm)],[])).
% 17.08/12.29 tff(33198,plain,
% 17.08/12.29 (v201(constB31) <=> (~((~v159(constB31)) | (~v161(constB31))))),
% 17.08/12.29 inference(unit_resolution,[status(thm)],[33197, 348])).
% 17.08/12.29 tff(33199,plain,
% 17.08/12.29 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v179(VarNext) <=> v180(VarNext)))) | ((~nextState(constB30, constB31)) | (v179(constB31) <=> v180(constB31)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v179(VarNext) <=> v180(VarNext)))) | (~nextState(constB30, constB31)) | (v179(constB31) <=> v180(constB31)))),
% 17.08/12.29 inference(rewrite,[status(thm)],[])).
% 17.08/12.29 tff(33200,plain,
% 17.08/12.29 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v179(VarNext) <=> v180(VarNext)))) | ((~nextState(constB30, constB31)) | (v179(constB31) <=> v180(constB31)))),
% 17.08/12.29 inference(quant_inst,[status(thm)],[])).
% 17.08/12.29 tff(33201,plain,
% 17.08/12.29 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v179(VarNext) <=> v180(VarNext)))) | (~nextState(constB30, constB31)) | (v179(constB31) <=> v180(constB31))),
% 17.08/12.29 inference(modus_ponens,[status(thm)],[33200, 33199])).
% 17.08/12.29 tff(33202,plain,
% 17.08/12.29 (v179(constB31) <=> v180(constB31)),
% 17.08/12.29 inference(unit_resolution,[status(thm)],[33201, 3575, 13536])).
% 17.08/12.29 tff(33203,plain,
% 17.08/12.29 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> (~((~v181(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB30, constB31)) | (v180(constB31) <=> (~((~v1(constB31)) | (~v181(constB31))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> (~((~v181(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB30, constB31)) | (v180(constB31) <=> (~((~v1(constB31)) | (~v181(constB31))))))),
% 17.08/12.29 inference(rewrite,[status(thm)],[])).
% 17.08/12.29 tff(33204,plain,
% 17.08/12.29 (((~nextState(constB30, constB31)) | (v180(constB31) <=> (~((~v181(constB31)) | (~v1(constB31)))))) <=> ((~nextState(constB30, constB31)) | (v180(constB31) <=> (~((~v1(constB31)) | (~v181(constB31))))))),
% 17.08/12.29 inference(rewrite,[status(thm)],[])).
% 17.08/12.29 tff(33205,plain,
% 17.08/12.29 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> (~((~v181(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB30, constB31)) | (v180(constB31) <=> (~((~v181(constB31)) | (~v1(constB31))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> (~((~v181(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB30, constB31)) | (v180(constB31) <=> (~((~v1(constB31)) | (~v181(constB31)))))))),
% 17.08/12.29 inference(monotonicity,[status(thm)],[33204])).
% 17.08/12.29 tff(33206,plain,
% 17.08/12.29 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> (~((~v181(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB30, constB31)) | (v180(constB31) <=> (~((~v181(constB31)) | (~v1(constB31))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> (~((~v181(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB30, constB31)) | (v180(constB31) <=> (~((~v1(constB31)) | (~v181(constB31))))))),
% 17.08/12.29 inference(transitivity,[status(thm)],[33205, 33203])).
% 17.08/12.29 tff(33207,plain,
% 17.08/12.29 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> (~((~v181(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB30, constB31)) | (v180(constB31) <=> (~((~v181(constB31)) | (~v1(constB31))))))),
% 17.08/12.29 inference(quant_inst,[status(thm)],[])).
% 17.08/12.29 tff(33208,plain,
% 17.08/12.29 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> (~((~v181(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB30, constB31)) | (v180(constB31) <=> (~((~v1(constB31)) | (~v181(constB31)))))),
% 17.08/12.29 inference(modus_ponens,[status(thm)],[33207, 33206])).
% 17.08/12.29 tff(33209,plain,
% 17.08/12.29 (v180(constB31) <=> (~((~v1(constB31)) | (~v181(constB31))))),
% 17.08/12.29 inference(unit_resolution,[status(thm)],[33208, 3575, 13556])).
% 17.08/12.29 tff(33210,plain,
% 17.08/12.29 (((~v1(constB31)) | (~v181(constB31))) | v1(constB31)),
% 17.08/12.29 inference(tautology,[status(thm)],[])).
% 17.08/12.29 tff(33211,plain,
% 17.08/12.29 ((~v1(constB31)) | (~v181(constB31))),
% 17.08/12.29 inference(unit_resolution,[status(thm)],[33210, 3536])).
% 17.08/12.29 tff(33212,plain,
% 17.08/12.29 ((~(v180(constB31) <=> (~((~v1(constB31)) | (~v181(constB31)))))) | (~v180(constB31)) | (~((~v1(constB31)) | (~v181(constB31))))),
% 17.08/12.29 inference(tautology,[status(thm)],[])).
% 17.08/12.29 tff(33213,plain,
% 17.08/12.29 ((~(v180(constB31) <=> (~((~v1(constB31)) | (~v181(constB31)))))) | (~v180(constB31))),
% 17.08/12.29 inference(unit_resolution,[status(thm)],[33212, 33211])).
% 17.08/12.29 tff(33214,plain,
% 17.08/12.29 (~v180(constB31)),
% 17.08/12.29 inference(unit_resolution,[status(thm)],[33213, 33209])).
% 17.08/12.29 tff(33215,plain,
% 17.08/12.29 ((~(v179(constB31) <=> v180(constB31))) | (~v179(constB31)) | v180(constB31)),
% 17.08/12.29 inference(tautology,[status(thm)],[])).
% 17.08/12.29 tff(33216,plain,
% 17.08/12.29 (~v179(constB31)),
% 17.08/12.29 inference(unit_resolution,[status(thm)],[33215, 33214, 33202])).
% 17.08/12.29 tff(33217,plain,
% 17.08/12.29 (((~![VarCurr: $i, VarNext: $i] : ((v159(VarNext) <=> v159(VarCurr)) | v179(VarNext) | (~nextState(VarCurr, VarNext)))) | ((~nextState(constB30, constB31)) | v179(constB31) | (v159(constB31) <=> v159(constB30)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((v159(VarNext) <=> v159(VarCurr)) | v179(VarNext) | (~nextState(VarCurr, VarNext)))) | (~nextState(constB30, constB31)) | v179(constB31) | (v159(constB31) <=> v159(constB30)))),
% 17.08/12.29 inference(rewrite,[status(thm)],[])).
% 17.08/12.29 tff(33218,plain,
% 17.08/12.29 (((v159(constB31) <=> v159(constB30)) | v179(constB31) | (~nextState(constB30, constB31))) <=> ((~nextState(constB30, constB31)) | v179(constB31) | (v159(constB31) <=> v159(constB30)))),
% 17.08/12.29 inference(rewrite,[status(thm)],[])).
% 17.08/12.29 tff(33219,plain,
% 17.08/12.29 (((~![VarCurr: $i, VarNext: $i] : ((v159(VarNext) <=> v159(VarCurr)) | v179(VarNext) | (~nextState(VarCurr, VarNext)))) | ((v159(constB31) <=> v159(constB30)) | v179(constB31) | (~nextState(constB30, constB31)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((v159(VarNext) <=> v159(VarCurr)) | v179(VarNext) | (~nextState(VarCurr, VarNext)))) | ((~nextState(constB30, constB31)) | v179(constB31) | (v159(constB31) <=> v159(constB30))))),
% 17.08/12.29 inference(monotonicity,[status(thm)],[33218])).
% 17.08/12.29 tff(33220,plain,
% 17.08/12.29 (((~![VarCurr: $i, VarNext: $i] : ((v159(VarNext) <=> v159(VarCurr)) | v179(VarNext) | (~nextState(VarCurr, VarNext)))) | ((v159(constB31) <=> v159(constB30)) | v179(constB31) | (~nextState(constB30, constB31)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((v159(VarNext) <=> v159(VarCurr)) | v179(VarNext) | (~nextState(VarCurr, VarNext)))) | (~nextState(constB30, constB31)) | v179(constB31) | (v159(constB31) <=> v159(constB30)))),
% 17.08/12.29 inference(transitivity,[status(thm)],[33219, 33217])).
% 17.08/12.29 tff(33221,plain,
% 17.08/12.29 ((~![VarCurr: $i, VarNext: $i] : ((v159(VarNext) <=> v159(VarCurr)) | v179(VarNext) | (~nextState(VarCurr, VarNext)))) | ((v159(constB31) <=> v159(constB30)) | v179(constB31) | (~nextState(constB30, constB31)))),
% 17.08/12.29 inference(quant_inst,[status(thm)],[])).
% 17.08/12.29 tff(33222,plain,
% 17.08/12.29 ((~![VarCurr: $i, VarNext: $i] : ((v159(VarNext) <=> v159(VarCurr)) | v179(VarNext) | (~nextState(VarCurr, VarNext)))) | (~nextState(constB30, constB31)) | v179(constB31) | (v159(constB31) <=> v159(constB30))),
% 17.08/12.29 inference(modus_ponens,[status(thm)],[33221, 33220])).
% 17.08/12.29 tff(33223,plain,
% 17.08/12.29 (v179(constB31) | (v159(constB31) <=> v159(constB30))),
% 17.08/12.29 inference(unit_resolution,[status(thm)],[33222, 3575, 13580])).
% 17.08/12.29 tff(33224,plain,
% 17.08/12.29 (v159(constB31) <=> v159(constB30)),
% 17.08/12.29 inference(unit_resolution,[status(thm)],[33223, 33216])).
% 17.08/12.29 tff(33225,plain,
% 17.08/12.29 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v179(VarNext) <=> v180(VarNext)))) | ((~nextState(constB29, constB30)) | (v179(constB30) <=> v180(constB30)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v179(VarNext) <=> v180(VarNext)))) | (~nextState(constB29, constB30)) | (v179(constB30) <=> v180(constB30)))),
% 17.08/12.29 inference(rewrite,[status(thm)],[])).
% 17.08/12.29 tff(33226,plain,
% 17.08/12.29 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v179(VarNext) <=> v180(VarNext)))) | ((~nextState(constB29, constB30)) | (v179(constB30) <=> v180(constB30)))),
% 17.08/12.29 inference(quant_inst,[status(thm)],[])).
% 17.08/12.29 tff(33227,plain,
% 17.08/12.29 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v179(VarNext) <=> v180(VarNext)))) | (~nextState(constB29, constB30)) | (v179(constB30) <=> v180(constB30))),
% 17.08/12.29 inference(modus_ponens,[status(thm)],[33226, 33225])).
% 17.08/12.29 tff(33228,plain,
% 17.08/12.29 (v179(constB30) <=> v180(constB30)),
% 17.08/12.29 inference(unit_resolution,[status(thm)],[33227, 3607, 13536])).
% 17.08/12.29 tff(33229,plain,
% 17.08/12.29 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> (~((~v181(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB29, constB30)) | (v180(constB30) <=> (~((~v1(constB30)) | (~v181(constB30))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> (~((~v181(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB29, constB30)) | (v180(constB30) <=> (~((~v1(constB30)) | (~v181(constB30))))))),
% 17.08/12.29 inference(rewrite,[status(thm)],[])).
% 17.08/12.29 tff(33230,plain,
% 17.08/12.29 (((~nextState(constB29, constB30)) | (v180(constB30) <=> (~((~v181(constB30)) | (~v1(constB30)))))) <=> ((~nextState(constB29, constB30)) | (v180(constB30) <=> (~((~v1(constB30)) | (~v181(constB30))))))),
% 17.08/12.29 inference(rewrite,[status(thm)],[])).
% 17.08/12.29 tff(33231,plain,
% 17.08/12.29 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> (~((~v181(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB29, constB30)) | (v180(constB30) <=> (~((~v181(constB30)) | (~v1(constB30))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> (~((~v181(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB29, constB30)) | (v180(constB30) <=> (~((~v1(constB30)) | (~v181(constB30)))))))),
% 17.08/12.29 inference(monotonicity,[status(thm)],[33230])).
% 17.08/12.29 tff(33232,plain,
% 17.08/12.29 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> (~((~v181(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB29, constB30)) | (v180(constB30) <=> (~((~v181(constB30)) | (~v1(constB30))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> (~((~v181(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB29, constB30)) | (v180(constB30) <=> (~((~v1(constB30)) | (~v181(constB30))))))),
% 17.08/12.29 inference(transitivity,[status(thm)],[33231, 33229])).
% 17.08/12.29 tff(33233,plain,
% 17.08/12.29 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> (~((~v181(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB29, constB30)) | (v180(constB30) <=> (~((~v181(constB30)) | (~v1(constB30))))))),
% 17.08/12.29 inference(quant_inst,[status(thm)],[])).
% 17.08/12.29 tff(33234,plain,
% 17.08/12.29 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> (~((~v181(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB29, constB30)) | (v180(constB30) <=> (~((~v1(constB30)) | (~v181(constB30)))))),
% 17.08/12.29 inference(modus_ponens,[status(thm)],[33233, 33232])).
% 17.08/12.29 tff(33235,plain,
% 17.08/12.29 (v180(constB30) <=> (~((~v1(constB30)) | (~v181(constB30))))),
% 17.08/12.29 inference(unit_resolution,[status(thm)],[33234, 3607, 13556])).
% 17.08/12.29 tff(33236,plain,
% 17.08/12.29 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v181(VarNext)) <=> v104(VarNext)))) | ((~nextState(constB29, constB30)) | ((~v181(constB30)) <=> v104(constB30)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v181(VarNext)) <=> v104(VarNext)))) | (~nextState(constB29, constB30)) | ((~v181(constB30)) <=> v104(constB30)))),
% 17.08/12.29 inference(rewrite,[status(thm)],[])).
% 17.08/12.29 tff(33237,plain,
% 17.08/12.29 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v181(VarNext)) <=> v104(VarNext)))) | ((~nextState(constB29, constB30)) | ((~v181(constB30)) <=> v104(constB30)))),
% 17.08/12.29 inference(quant_inst,[status(thm)],[])).
% 17.08/12.29 tff(33238,plain,
% 17.08/12.29 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v181(VarNext)) <=> v104(VarNext)))) | (~nextState(constB29, constB30)) | ((~v181(constB30)) <=> v104(constB30))),
% 17.08/12.29 inference(modus_ponens,[status(thm)],[33237, 33236])).
% 17.08/12.29 tff(33239,plain,
% 17.08/12.29 ((~v181(constB30)) <=> v104(constB30)),
% 17.08/12.29 inference(unit_resolution,[status(thm)],[33238, 3607, 13612])).
% 17.08/12.29 tff(33240,plain,
% 17.08/12.29 ((~((~v181(constB30)) <=> v104(constB30))) | v181(constB30) | v104(constB30)),
% 17.08/12.29 inference(tautology,[status(thm)],[])).
% 17.08/12.29 tff(33241,plain,
% 17.08/12.29 (v181(constB30)),
% 17.08/12.29 inference(unit_resolution,[status(thm)],[33240, 3632, 33239])).
% 17.08/12.29 tff(33242,plain,
% 17.08/12.29 ((~((~v1(constB30)) | (~v181(constB30)))) | (~v1(constB30)) | (~v181(constB30))),
% 17.08/12.29 inference(tautology,[status(thm)],[])).
% 17.08/12.29 tff(33243,plain,
% 17.08/12.29 ((~((~v1(constB30)) | (~v181(constB30)))) | (~v181(constB30))),
% 17.08/12.29 inference(unit_resolution,[status(thm)],[33242, 3637])).
% 17.08/12.29 tff(33244,plain,
% 17.08/12.29 (~((~v1(constB30)) | (~v181(constB30)))),
% 17.08/12.29 inference(unit_resolution,[status(thm)],[33243, 33241])).
% 17.08/12.29 tff(33245,plain,
% 17.08/12.29 ((~(v180(constB30) <=> (~((~v1(constB30)) | (~v181(constB30)))))) | v180(constB30) | ((~v1(constB30)) | (~v181(constB30)))),
% 17.08/12.29 inference(tautology,[status(thm)],[])).
% 17.08/12.29 tff(33246,plain,
% 17.08/12.29 (v180(constB30)),
% 17.08/12.29 inference(unit_resolution,[status(thm)],[33245, 33244, 33235])).
% 17.08/12.29 tff(33247,plain,
% 17.08/12.29 ((~(v179(constB30) <=> v180(constB30))) | v179(constB30) | (~v180(constB30))),
% 17.08/12.29 inference(tautology,[status(thm)],[])).
% 17.08/12.29 tff(33248,plain,
% 17.08/12.29 (v179(constB30)),
% 17.08/12.29 inference(unit_resolution,[status(thm)],[33247, 33246, 33228])).
% 17.08/12.29 tff(33249,plain,
% 17.08/12.29 (((~![VarNext: $i] : ((~v179(VarNext)) | (v159(VarNext) <=> v186(VarNext)))) | ((~v179(constB30)) | (v159(constB30) <=> v186(constB30)))) <=> ((~![VarNext: $i] : ((~v179(VarNext)) | (v159(VarNext) <=> v186(VarNext)))) | (~v179(constB30)) | (v159(constB30) <=> v186(constB30)))),
% 17.08/12.29 inference(rewrite,[status(thm)],[])).
% 17.08/12.29 tff(33250,plain,
% 17.08/12.29 ((~![VarNext: $i] : ((~v179(VarNext)) | (v159(VarNext) <=> v186(VarNext)))) | ((~v179(constB30)) | (v159(constB30) <=> v186(constB30)))),
% 17.08/12.29 inference(quant_inst,[status(thm)],[])).
% 17.08/12.29 tff(33251,plain,
% 17.08/12.29 ((~![VarNext: $i] : ((~v179(VarNext)) | (v159(VarNext) <=> v186(VarNext)))) | (~v179(constB30)) | (v159(constB30) <=> v186(constB30))),
% 17.08/12.29 inference(modus_ponens,[status(thm)],[33250, 33249])).
% 17.08/12.29 tff(33252,plain,
% 17.08/12.30 (v159(constB30) <=> v186(constB30)),
% 17.08/12.30 inference(unit_resolution,[status(thm)],[33251, 13648, 33248])).
% 17.08/12.30 tff(33253,plain,
% 17.08/12.30 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v186(VarNext) <=> v161(VarCurr)))) | ((~nextState(constB29, constB30)) | (v186(constB30) <=> v161(constB29)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v186(VarNext) <=> v161(VarCurr)))) | (~nextState(constB29, constB30)) | (v186(constB30) <=> v161(constB29)))),
% 17.08/12.30 inference(rewrite,[status(thm)],[])).
% 17.08/12.30 tff(33254,plain,
% 17.08/12.30 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v186(VarNext) <=> v161(VarCurr)))) | ((~nextState(constB29, constB30)) | (v186(constB30) <=> v161(constB29)))),
% 17.08/12.30 inference(quant_inst,[status(thm)],[])).
% 17.08/12.30 tff(33255,plain,
% 17.08/12.30 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v186(VarNext) <=> v161(VarCurr)))) | (~nextState(constB29, constB30)) | (v186(constB30) <=> v161(constB29))),
% 17.08/12.30 inference(modus_ponens,[status(thm)],[33254, 33253])).
% 17.08/12.30 tff(33256,plain,
% 17.08/12.30 (v186(constB30) <=> v161(constB29)),
% 17.08/12.30 inference(unit_resolution,[status(thm)],[33255, 3607, 13662])).
% 17.08/12.30 tff(33257,plain,
% 17.08/12.30 ((~![VarCurr: $i] : (v161(VarCurr) <=> v163(VarCurr))) | (v161(constB29) <=> v163(constB29))),
% 17.08/12.30 inference(quant_inst,[status(thm)],[])).
% 17.08/12.30 tff(33258,plain,
% 17.08/12.30 (v161(constB29) <=> v163(constB29)),
% 17.08/12.30 inference(unit_resolution,[status(thm)],[33257, 357])).
% 17.08/12.30 tff(33259,plain,
% 17.08/12.30 ((~![VarCurr: $i] : (v171(VarCurr) <=> (v142(VarCurr) | v150(VarCurr)))) | (v171(constB29) <=> (v142(constB29) | v150(constB29)))),
% 17.08/12.30 inference(quant_inst,[status(thm)],[])).
% 17.08/12.30 tff(33260,plain,
% 17.08/12.30 (v171(constB29) <=> (v142(constB29) | v150(constB29))),
% 17.08/12.30 inference(unit_resolution,[status(thm)],[33259, 369])).
% 17.08/12.30 tff(33261,plain,
% 17.08/12.30 ((v142(constB29) | v150(constB29)) | (~v142(constB29))),
% 17.08/12.30 inference(tautology,[status(thm)],[])).
% 17.08/12.30 tff(33262,plain,
% 17.08/12.30 (v142(constB29) | v150(constB29)),
% 17.08/12.30 inference(unit_resolution,[status(thm)],[33261, 32258])).
% 17.08/12.30 tff(33263,plain,
% 17.08/12.30 ((~(v171(constB29) <=> (v142(constB29) | v150(constB29)))) | v171(constB29) | (~(v142(constB29) | v150(constB29)))),
% 17.08/12.30 inference(tautology,[status(thm)],[])).
% 17.08/12.30 tff(33264,plain,
% 17.08/12.30 (v171(constB29)),
% 17.08/12.30 inference(unit_resolution,[status(thm)],[33263, 33262, 33260])).
% 17.08/12.30 tff(33265,plain,
% 17.08/12.30 (((~![VarCurr: $i] : ((~v171(VarCurr)) | (~v170(VarCurr)))) | ((~v170(constB29)) | (~v171(constB29)))) <=> ((~![VarCurr: $i] : ((~v171(VarCurr)) | (~v170(VarCurr)))) | (~v170(constB29)) | (~v171(constB29)))),
% 17.08/12.30 inference(rewrite,[status(thm)],[])).
% 17.08/12.30 tff(33266,plain,
% 17.08/12.30 (((~v171(constB29)) | (~v170(constB29))) <=> ((~v170(constB29)) | (~v171(constB29)))),
% 17.08/12.30 inference(rewrite,[status(thm)],[])).
% 17.08/12.30 tff(33267,plain,
% 17.08/12.30 (((~![VarCurr: $i] : ((~v171(VarCurr)) | (~v170(VarCurr)))) | ((~v171(constB29)) | (~v170(constB29)))) <=> ((~![VarCurr: $i] : ((~v171(VarCurr)) | (~v170(VarCurr)))) | ((~v170(constB29)) | (~v171(constB29))))),
% 17.08/12.30 inference(monotonicity,[status(thm)],[33266])).
% 17.08/12.30 tff(33268,plain,
% 17.08/12.30 (((~![VarCurr: $i] : ((~v171(VarCurr)) | (~v170(VarCurr)))) | ((~v171(constB29)) | (~v170(constB29)))) <=> ((~![VarCurr: $i] : ((~v171(VarCurr)) | (~v170(VarCurr)))) | (~v170(constB29)) | (~v171(constB29)))),
% 17.08/12.30 inference(transitivity,[status(thm)],[33267, 33265])).
% 17.08/12.30 tff(33269,plain,
% 17.08/12.30 ((~![VarCurr: $i] : ((~v171(VarCurr)) | (~v170(VarCurr)))) | ((~v171(constB29)) | (~v170(constB29)))),
% 17.08/12.30 inference(quant_inst,[status(thm)],[])).
% 17.08/12.30 tff(33270,plain,
% 17.08/12.30 ((~![VarCurr: $i] : ((~v171(VarCurr)) | (~v170(VarCurr)))) | (~v170(constB29)) | (~v171(constB29))),
% 17.08/12.30 inference(modus_ponens,[status(thm)],[33269, 33268])).
% 17.08/12.30 tff(33271,plain,
% 17.08/12.30 ((~v170(constB29)) | (~v171(constB29))),
% 17.08/12.30 inference(unit_resolution,[status(thm)],[33270, 13061])).
% 17.08/12.30 tff(33272,plain,
% 17.08/12.30 (~v170(constB29)),
% 17.08/12.30 inference(unit_resolution,[status(thm)],[33271, 33264])).
% 17.08/12.30 tff(33273,plain,
% 17.08/12.30 ((~![VarCurr: $i] : (v166(VarCurr) <=> (v145(VarCurr) | v167(VarCurr)))) | (v166(constB29) <=> (v145(constB29) | v167(constB29)))),
% 17.08/12.30 inference(quant_inst,[status(thm)],[])).
% 17.08/12.30 tff(33274,plain,
% 17.08/12.30 (v166(constB29) <=> (v145(constB29) | v167(constB29))),
% 17.08/12.30 inference(unit_resolution,[status(thm)],[33273, 13079])).
% 17.08/12.30 tff(33275,plain,
% 17.08/12.30 ((~![VarCurr: $i] : (v167(VarCurr) <=> (v142(VarCurr) | v168(VarCurr)))) | (v167(constB29) <=> (v142(constB29) | v168(constB29)))),
% 17.08/12.30 inference(quant_inst,[status(thm)],[])).
% 17.08/12.30 tff(33276,plain,
% 17.08/12.30 (v167(constB29) <=> (v142(constB29) | v168(constB29))),
% 17.08/12.30 inference(unit_resolution,[status(thm)],[33275, 13091])).
% 17.08/12.30 tff(33277,plain,
% 17.08/12.30 ((v142(constB29) | v168(constB29)) | (~v142(constB29))),
% 17.08/12.30 inference(tautology,[status(thm)],[])).
% 17.08/12.30 tff(33278,plain,
% 17.08/12.30 (v142(constB29) | v168(constB29)),
% 17.08/12.30 inference(unit_resolution,[status(thm)],[33277, 32258])).
% 17.08/12.30 tff(33279,plain,
% 17.08/12.30 ((~(v167(constB29) <=> (v142(constB29) | v168(constB29)))) | v167(constB29) | (~(v142(constB29) | v168(constB29)))),
% 17.08/12.30 inference(tautology,[status(thm)],[])).
% 17.08/12.30 tff(33280,plain,
% 17.08/12.30 (v167(constB29)),
% 17.08/12.30 inference(unit_resolution,[status(thm)],[33279, 33278, 33276])).
% 17.08/12.30 tff(33281,plain,
% 17.08/12.30 ((v145(constB29) | v167(constB29)) | (~v167(constB29))),
% 17.08/12.30 inference(tautology,[status(thm)],[])).
% 17.08/12.30 tff(33282,plain,
% 17.08/12.30 (v145(constB29) | v167(constB29)),
% 17.08/12.30 inference(unit_resolution,[status(thm)],[33281, 33280])).
% 17.08/12.30 tff(33283,plain,
% 17.08/12.30 ((~(v166(constB29) <=> (v145(constB29) | v167(constB29)))) | v166(constB29) | (~(v145(constB29) | v167(constB29)))),
% 17.08/12.30 inference(tautology,[status(thm)],[])).
% 17.08/12.30 tff(33284,plain,
% 17.08/12.30 (v166(constB29)),
% 17.08/12.30 inference(unit_resolution,[status(thm)],[33283, 33282, 33274])).
% 17.08/12.30 tff(33285,plain,
% 17.08/12.30 (((~![VarNext: $i] : ((~v166(VarNext)) | (v163(VarNext) <=> v170(VarNext)))) | ((~v166(constB29)) | (v163(constB29) <=> v170(constB29)))) <=> ((~![VarNext: $i] : ((~v166(VarNext)) | (v163(VarNext) <=> v170(VarNext)))) | (~v166(constB29)) | (v163(constB29) <=> v170(constB29)))),
% 17.08/12.30 inference(rewrite,[status(thm)],[])).
% 17.08/12.30 tff(33286,plain,
% 17.08/12.30 ((~![VarNext: $i] : ((~v166(VarNext)) | (v163(VarNext) <=> v170(VarNext)))) | ((~v166(constB29)) | (v163(constB29) <=> v170(constB29)))),
% 17.08/12.30 inference(quant_inst,[status(thm)],[])).
% 17.08/12.30 tff(33287,plain,
% 17.08/12.30 ((~![VarNext: $i] : ((~v166(VarNext)) | (v163(VarNext) <=> v170(VarNext)))) | (~v166(constB29)) | (v163(constB29) <=> v170(constB29))),
% 17.08/12.30 inference(modus_ponens,[status(thm)],[33286, 33285])).
% 17.08/12.30 tff(33288,plain,
% 17.08/12.30 ((~v166(constB29)) | (v163(constB29) <=> v170(constB29))),
% 17.08/12.30 inference(unit_resolution,[status(thm)],[33287, 13111])).
% 17.08/12.30 tff(33289,plain,
% 17.08/12.30 (v163(constB29) <=> v170(constB29)),
% 17.08/12.30 inference(unit_resolution,[status(thm)],[33288, 33284])).
% 17.08/12.30 tff(33290,plain,
% 17.08/12.30 ((~(v163(constB29) <=> v170(constB29))) | (~v163(constB29)) | v170(constB29)),
% 17.08/12.30 inference(tautology,[status(thm)],[])).
% 17.08/12.30 tff(33291,plain,
% 17.08/12.30 (~v163(constB29)),
% 17.08/12.30 inference(unit_resolution,[status(thm)],[33290, 33289, 33272])).
% 17.08/12.30 tff(33292,plain,
% 17.08/12.30 ((~(v161(constB29) <=> v163(constB29))) | (~v161(constB29)) | v163(constB29)),
% 17.08/12.30 inference(tautology,[status(thm)],[])).
% 17.08/12.30 tff(33293,plain,
% 17.08/12.30 (~v161(constB29)),
% 17.08/12.30 inference(unit_resolution,[status(thm)],[33292, 33291, 33258])).
% 17.08/12.30 tff(33294,plain,
% 17.08/12.30 ((~(v186(constB30) <=> v161(constB29))) | (~v186(constB30)) | v161(constB29)),
% 17.08/12.30 inference(tautology,[status(thm)],[])).
% 17.08/12.30 tff(33295,plain,
% 17.08/12.30 (~v186(constB30)),
% 17.08/12.30 inference(unit_resolution,[status(thm)],[33294, 33293, 33256])).
% 17.08/12.30 tff(33296,plain,
% 17.08/12.30 ((~(v159(constB30) <=> v186(constB30))) | (~v159(constB30)) | v186(constB30)),
% 17.08/12.30 inference(tautology,[status(thm)],[])).
% 17.08/12.30 tff(33297,plain,
% 17.08/12.30 (~v159(constB30)),
% 17.08/12.30 inference(unit_resolution,[status(thm)],[33296, 33295, 33252])).
% 17.08/12.30 tff(33298,plain,
% 17.08/12.30 ((~(v159(constB31) <=> v159(constB30))) | (~v159(constB31)) | v159(constB30)),
% 17.08/12.30 inference(tautology,[status(thm)],[])).
% 17.08/12.30 tff(33299,plain,
% 17.08/12.30 (~v159(constB31)),
% 17.08/12.30 inference(unit_resolution,[status(thm)],[33298, 33297, 33224])).
% 17.08/12.30 tff(33300,plain,
% 17.08/12.30 (((~v159(constB31)) | (~v161(constB31))) | v159(constB31)),
% 17.08/12.30 inference(tautology,[status(thm)],[])).
% 17.08/12.30 tff(33301,plain,
% 17.08/12.30 ((~v159(constB31)) | (~v161(constB31))),
% 17.08/12.30 inference(unit_resolution,[status(thm)],[33300, 33299])).
% 17.08/12.30 tff(33302,plain,
% 17.08/12.30 ((~(v201(constB31) <=> (~((~v159(constB31)) | (~v161(constB31)))))) | (~v201(constB31)) | (~((~v159(constB31)) | (~v161(constB31))))),
% 17.08/12.30 inference(tautology,[status(thm)],[])).
% 17.08/12.30 tff(33303,plain,
% 17.08/12.30 (~v201(constB31)),
% 17.08/12.30 inference(unit_resolution,[status(thm)],[33302, 33301, 33198])).
% 17.08/12.30 tff(33304,plain,
% 17.08/12.30 (((~v197(constB31)) | (~v201(constB31))) | v201(constB31)),
% 17.08/12.30 inference(tautology,[status(thm)],[])).
% 17.08/12.30 tff(33305,plain,
% 17.08/12.30 ((~v197(constB31)) | (~v201(constB31))),
% 17.08/12.30 inference(unit_resolution,[status(thm)],[33304, 33303])).
% 17.08/12.30 tff(33306,plain,
% 17.08/12.30 ((~(v200(constB31) <=> (~((~v197(constB31)) | (~v201(constB31)))))) | (~v200(constB31)) | (~((~v197(constB31)) | (~v201(constB31))))),
% 17.08/12.30 inference(tautology,[status(thm)],[])).
% 17.08/12.30 tff(33307,plain,
% 17.08/12.30 (~v200(constB31)),
% 17.08/12.30 inference(unit_resolution,[status(thm)],[33306, 33305, 33196])).
% 17.08/12.30 tff(33308,plain,
% 17.08/12.30 (((~v199(constB31)) | (~v200(constB31))) | v200(constB31)),
% 17.08/12.30 inference(tautology,[status(thm)],[])).
% 17.08/12.30 tff(33309,plain,
% 17.08/12.30 ((~v199(constB31)) | (~v200(constB31))),
% 17.08/12.30 inference(unit_resolution,[status(thm)],[33308, 33307])).
% 17.08/12.30 tff(33310,plain,
% 17.08/12.30 ((~(v198(constB31) <=> (~((~v199(constB31)) | (~v200(constB31)))))) | (~v198(constB31)) | (~((~v199(constB31)) | (~v200(constB31))))),
% 17.08/12.30 inference(tautology,[status(thm)],[])).
% 17.08/12.30 tff(33311,plain,
% 17.08/12.30 (~v198(constB31)),
% 17.08/12.30 inference(unit_resolution,[status(thm)],[33310, 33309, 33194])).
% 17.08/12.30 tff(33312,plain,
% 17.08/12.30 ((~(v194(constB31) | v198(constB31))) | v194(constB31) | v198(constB31)),
% 17.08/12.30 inference(tautology,[status(thm)],[])).
% 17.08/12.30 tff(33313,plain,
% 17.08/12.30 (~(v194(constB31) | v198(constB31))),
% 17.08/12.30 inference(unit_resolution,[status(thm)],[33312, 33311, 33192])).
% 17.08/12.30 tff(33314,plain,
% 17.08/12.30 ((~(v191(constB31) <=> (v194(constB31) | v198(constB31)))) | (~v191(constB31)) | (v194(constB31) | v198(constB31))),
% 17.08/12.30 inference(tautology,[status(thm)],[])).
% 17.08/12.30 tff(33315,plain,
% 17.08/12.30 (~v191(constB31)),
% 17.08/12.30 inference(unit_resolution,[status(thm)],[33314, 33313, 33119])).
% 17.08/12.30 tff(33316,plain,
% 17.08/12.30 ((~(v193(constB32) <=> v191(constB31))) | (~v193(constB32)) | v191(constB31)),
% 17.08/12.30 inference(tautology,[status(thm)],[])).
% 17.08/12.30 tff(33317,plain,
% 17.08/12.30 (~v193(constB32)),
% 17.08/12.30 inference(unit_resolution,[status(thm)],[33316, 33315, 33117])).
% 17.08/12.30 tff(33318,plain,
% 17.08/12.30 ((~(v157(constB32) <=> v193(constB32))) | (~v157(constB32)) | v193(constB32)),
% 17.08/12.30 inference(tautology,[status(thm)],[])).
% 17.08/12.30 tff(33319,plain,
% 17.08/12.30 (~v157(constB32)),
% 17.08/12.30 inference(unit_resolution,[status(thm)],[33318, 33317, 33113])).
% 17.08/12.30 tff(33320,plain,
% 17.08/12.30 (((~v157(constB32)) | (~v195(constB32))) | v157(constB32)),
% 17.08/12.30 inference(tautology,[status(thm)],[])).
% 17.08/12.30 tff(33321,plain,
% 17.08/12.30 ((~v157(constB32)) | (~v195(constB32))),
% 17.08/12.30 inference(unit_resolution,[status(thm)],[33320, 33319])).
% 17.08/12.30 tff(33322,plain,
% 17.08/12.30 ((~(v194(constB32) <=> (~((~v157(constB32)) | (~v195(constB32)))))) | (~v194(constB32)) | (~((~v157(constB32)) | (~v195(constB32))))),
% 17.08/12.30 inference(tautology,[status(thm)],[])).
% 17.08/12.30 tff(33323,plain,
% 17.08/12.30 (~v194(constB32)),
% 17.08/12.30 inference(unit_resolution,[status(thm)],[33322, 33321, 33111])).
% 17.08/12.30 tff(33324,plain,
% 17.08/12.30 ((~(v194(constB32) | v198(constB32))) | v194(constB32) | v198(constB32)),
% 17.08/12.30 inference(tautology,[status(thm)],[])).
% 17.08/12.30 tff(33325,plain,
% 17.08/12.30 (~(v194(constB32) | v198(constB32))),
% 17.08/12.30 inference(unit_resolution,[status(thm)],[33324, 33323, 33104])).
% 17.08/12.30 tff(33326,plain,
% 17.08/12.30 ((~(v191(constB32) <=> (v194(constB32) | v198(constB32)))) | (~v191(constB32)) | (v194(constB32) | v198(constB32))),
% 17.08/12.30 inference(tautology,[status(thm)],[])).
% 17.08/12.30 tff(33327,plain,
% 17.08/12.30 (~v191(constB32)),
% 17.08/12.30 inference(unit_resolution,[status(thm)],[33326, 33325, 33079])).
% 17.08/12.30 tff(33328,plain,
% 17.08/12.30 ((~(v193(constB33) <=> v191(constB32))) | (~v193(constB33)) | v191(constB32)),
% 17.08/12.30 inference(tautology,[status(thm)],[])).
% 17.08/12.30 tff(33329,plain,
% 17.08/12.30 (~v193(constB33)),
% 17.08/12.30 inference(unit_resolution,[status(thm)],[33328, 33327, 33077])).
% 17.08/12.30 tff(33330,plain,
% 17.08/12.30 ($false),
% 17.08/12.30 inference(unit_resolution,[status(thm)],[33329, 33073])).
% 17.08/12.30 tff(33331,plain,(~(constB33 = VarCurr!0)), inference(lemma,lemma(discharge,[]))).
% 17.08/12.30 tff(33332,assumption,(constB197 = VarCurr!0), introduced(assumption)).
% 17.08/12.30 tff(33333,plain,
% 17.08/12.30 (v193(constB197) <=> v193(VarCurr!0)),
% 17.08/12.30 inference(monotonicity,[status(thm)],[33332])).
% 17.08/12.30 tff(33334,plain,
% 17.08/12.30 (v193(VarCurr!0) <=> v193(constB197)),
% 17.08/12.30 inference(symmetry,[status(thm)],[33333])).
% 17.08/12.30 tff(33335,plain,
% 17.08/12.30 (v193(constB197)),
% 17.08/12.30 inference(modus_ponens,[status(thm)],[59, 33334])).
% 17.08/12.30 tff(33336,plain,
% 17.08/12.30 (nextState(constB196, constB197) <=> nextState(constB196, constB197)),
% 17.08/12.30 inference(rewrite,[status(thm)],[])).
% 17.08/12.30 tff(33337,axiom,(nextState(constB196, constB197)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_196')).
% 17.08/12.30 tff(33338,plain,
% 17.08/12.30 (nextState(constB196, constB197)),
% 17.08/12.30 inference(modus_ponens,[status(thm)],[33337, 33336])).
% 17.08/12.30 tff(33339,plain,
% 17.08/12.30 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v193(VarNext) <=> v191(VarCurr)))) | ((~nextState(constB196, constB197)) | (v193(constB197) <=> v191(constB196)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v193(VarNext) <=> v191(VarCurr)))) | (~nextState(constB196, constB197)) | (v193(constB197) <=> v191(constB196)))),
% 17.08/12.30 inference(rewrite,[status(thm)],[])).
% 17.08/12.30 tff(33340,plain,
% 17.08/12.30 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v193(VarNext) <=> v191(VarCurr)))) | ((~nextState(constB196, constB197)) | (v193(constB197) <=> v191(constB196)))),
% 17.08/12.30 inference(quant_inst,[status(thm)],[])).
% 17.08/12.30 tff(33341,plain,
% 17.08/12.30 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v193(VarNext) <=> v191(VarCurr)))) | (~nextState(constB196, constB197)) | (v193(constB197) <=> v191(constB196))),
% 17.08/12.30 inference(modus_ponens,[status(thm)],[33340, 33339])).
% 17.08/12.30 tff(33342,plain,
% 17.08/12.30 (v193(constB197) <=> v191(constB196)),
% 17.08/12.30 inference(unit_resolution,[status(thm)],[33341, 33338, 70])).
% 17.08/12.30 tff(33343,plain,
% 17.08/12.30 ((~![VarCurr: $i] : (v191(VarCurr) <=> (v194(VarCurr) | v198(VarCurr)))) | (v191(constB196) <=> (v194(constB196) | v198(constB196)))),
% 17.08/12.30 inference(quant_inst,[status(thm)],[])).
% 17.08/12.30 tff(33344,plain,
% 17.08/12.30 (v191(constB196) <=> (v194(constB196) | v198(constB196))),
% 17.08/12.30 inference(unit_resolution,[status(thm)],[33343, 84])).
% 17.08/12.30 tff(33345,plain,
% 17.08/12.30 ((~![VarCurr: $i] : (v198(VarCurr) <=> (~((~v199(VarCurr)) | (~v200(VarCurr)))))) | (v198(constB196) <=> (~((~v199(constB196)) | (~v200(constB196)))))),
% 17.08/12.30 inference(quant_inst,[status(thm)],[])).
% 17.08/12.30 tff(33346,plain,
% 17.08/12.30 (v198(constB196) <=> (~((~v199(constB196)) | (~v200(constB196))))),
% 17.08/12.30 inference(unit_resolution,[status(thm)],[33345, 96])).
% 17.08/12.30 tff(33347,plain,
% 17.08/12.30 ((~![VarCurr: $i] : (v200(VarCurr) <=> (~((~v197(VarCurr)) | (~v201(VarCurr)))))) | (v200(constB196) <=> (~((~v197(constB196)) | (~v201(constB196)))))),
% 17.08/12.30 inference(quant_inst,[status(thm)],[])).
% 17.08/12.30 tff(33348,plain,
% 17.08/12.30 (v200(constB196) <=> (~((~v197(constB196)) | (~v201(constB196))))),
% 17.08/12.30 inference(unit_resolution,[status(thm)],[33347, 108])).
% 17.08/12.30 tff(33349,plain,
% 17.08/12.30 ((~![VarCurr: $i] : (v197(VarCurr) <=> (~((~v39(VarCurr)) | (~v9(VarCurr)))))) | (v197(constB196) <=> (~((~v39(constB196)) | (~v9(constB196)))))),
% 17.08/12.30 inference(quant_inst,[status(thm)],[])).
% 17.08/12.30 tff(33350,plain,
% 17.08/12.30 (v197(constB196) <=> (~((~v39(constB196)) | (~v9(constB196))))),
% 17.08/12.30 inference(unit_resolution,[status(thm)],[33349, 120])).
% 17.08/12.30 tff(33351,plain,
% 17.08/12.30 ((~![VarCurr: $i] : ((~v39(VarCurr)) <=> v1(VarCurr))) | ((~v39(constB196)) <=> v1(constB196))),
% 17.08/12.30 inference(quant_inst,[status(thm)],[])).
% 17.08/12.30 tff(33352,plain,
% 17.08/12.30 ((~v39(constB196)) <=> v1(constB196)),
% 17.08/12.30 inference(unit_resolution,[status(thm)],[33351, 129])).
% 17.08/12.30 tff(33353,plain,
% 17.08/12.30 (v1(constB196) <=> v1(constB196)),
% 17.08/12.30 inference(rewrite,[status(thm)],[])).
% 17.08/12.30 tff(33354,axiom,(v1(constB196)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_196')).
% 17.08/12.30 tff(33355,plain,
% 17.08/12.30 (v1(constB196)),
% 17.08/12.30 inference(modus_ponens,[status(thm)],[33354, 33353])).
% 17.08/12.30 tff(33356,plain,
% 17.08/12.30 ((~((~v39(constB196)) <=> v1(constB196))) | (~v39(constB196)) | (~v1(constB196))),
% 17.08/12.30 inference(tautology,[status(thm)],[])).
% 17.08/12.30 tff(33357,plain,
% 17.08/12.30 ((~((~v39(constB196)) <=> v1(constB196))) | (~v39(constB196))),
% 17.08/12.30 inference(unit_resolution,[status(thm)],[33356, 33355])).
% 17.08/12.30 tff(33358,plain,
% 17.08/12.30 (~v39(constB196)),
% 17.08/12.30 inference(unit_resolution,[status(thm)],[33357, 33352])).
% 17.08/12.30 tff(33359,plain,
% 17.08/12.30 (((~v39(constB196)) | (~v9(constB196))) | v39(constB196)),
% 17.08/12.30 inference(tautology,[status(thm)],[])).
% 17.08/12.30 tff(33360,plain,
% 17.08/12.30 ((~v39(constB196)) | (~v9(constB196))),
% 17.08/12.30 inference(unit_resolution,[status(thm)],[33359, 33358])).
% 17.08/12.30 tff(33361,plain,
% 17.08/12.30 ((~(v197(constB196) <=> (~((~v39(constB196)) | (~v9(constB196)))))) | (~v197(constB196)) | (~((~v39(constB196)) | (~v9(constB196))))),
% 17.08/12.30 inference(tautology,[status(thm)],[])).
% 17.08/12.30 tff(33362,plain,
% 17.08/12.30 ((~(v197(constB196) <=> (~((~v39(constB196)) | (~v9(constB196)))))) | (~v197(constB196))),
% 17.08/12.30 inference(unit_resolution,[status(thm)],[33361, 33360])).
% 17.08/12.30 tff(33363,plain,
% 17.08/12.30 (~v197(constB196)),
% 17.08/12.30 inference(unit_resolution,[status(thm)],[33362, 33350])).
% 17.08/12.30 tff(33364,plain,
% 17.08/12.30 (((~v197(constB196)) | (~v201(constB196))) | v197(constB196)),
% 17.08/12.30 inference(tautology,[status(thm)],[])).
% 17.08/12.30 tff(33365,plain,
% 17.08/12.30 ((~v197(constB196)) | (~v201(constB196))),
% 17.08/12.30 inference(unit_resolution,[status(thm)],[33364, 33363])).
% 17.08/12.30 tff(33366,plain,
% 17.08/12.30 ((~(v200(constB196) <=> (~((~v197(constB196)) | (~v201(constB196)))))) | (~v200(constB196)) | (~((~v197(constB196)) | (~v201(constB196))))),
% 17.08/12.30 inference(tautology,[status(thm)],[])).
% 17.08/12.30 tff(33367,plain,
% 17.08/12.30 ((~(v200(constB196) <=> (~((~v197(constB196)) | (~v201(constB196)))))) | (~v200(constB196))),
% 17.08/12.30 inference(unit_resolution,[status(thm)],[33366, 33365])).
% 17.08/12.30 tff(33368,plain,
% 17.08/12.30 (~v200(constB196)),
% 17.08/12.30 inference(unit_resolution,[status(thm)],[33367, 33348])).
% 17.08/12.30 tff(33369,plain,
% 17.08/12.30 (((~v199(constB196)) | (~v200(constB196))) | v200(constB196)),
% 17.08/12.30 inference(tautology,[status(thm)],[])).
% 17.08/12.30 tff(33370,plain,
% 17.08/12.30 ((~v199(constB196)) | (~v200(constB196))),
% 17.08/12.30 inference(unit_resolution,[status(thm)],[33369, 33368])).
% 17.08/12.30 tff(33371,plain,
% 17.08/12.30 ((~(v198(constB196) <=> (~((~v199(constB196)) | (~v200(constB196)))))) | (~v198(constB196)) | (~((~v199(constB196)) | (~v200(constB196))))),
% 17.08/12.30 inference(tautology,[status(thm)],[])).
% 17.08/12.30 tff(33372,plain,
% 17.08/12.30 (~v198(constB196)),
% 17.08/12.30 inference(unit_resolution,[status(thm)],[33371, 33370, 33346])).
% 17.08/12.30 tff(33373,plain,
% 17.08/12.30 (((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB196) <=> (~((~v157(constB196)) | (~v195(constB196)))))) <=> ((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB196) <=> (~((~v157(constB196)) | (~v195(constB196))))))),
% 17.08/12.30 inference(rewrite,[status(thm)],[])).
% 17.08/12.30 tff(33374,plain,
% 17.08/12.30 ((v194(constB196) <=> (~((~v195(constB196)) | (~v157(constB196))))) <=> (v194(constB196) <=> (~((~v157(constB196)) | (~v195(constB196)))))),
% 17.08/12.30 inference(rewrite,[status(thm)],[])).
% 17.08/12.30 tff(33375,plain,
% 17.08/12.30 (((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB196) <=> (~((~v195(constB196)) | (~v157(constB196)))))) <=> ((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB196) <=> (~((~v157(constB196)) | (~v195(constB196))))))),
% 17.08/12.30 inference(monotonicity,[status(thm)],[33374])).
% 17.08/12.30 tff(33376,plain,
% 17.08/12.30 (((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB196) <=> (~((~v195(constB196)) | (~v157(constB196)))))) <=> ((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB196) <=> (~((~v157(constB196)) | (~v195(constB196))))))),
% 17.08/12.30 inference(transitivity,[status(thm)],[33375, 33373])).
% 17.08/12.30 tff(33377,plain,
% 17.08/12.30 ((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB196) <=> (~((~v195(constB196)) | (~v157(constB196)))))),
% 17.08/12.30 inference(quant_inst,[status(thm)],[])).
% 17.08/12.30 tff(33378,plain,
% 17.08/12.30 ((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB196) <=> (~((~v157(constB196)) | (~v195(constB196)))))),
% 17.08/12.30 inference(modus_ponens,[status(thm)],[33377, 33376])).
% 17.08/12.30 tff(33379,plain,
% 17.08/12.30 (v194(constB196) <=> (~((~v157(constB196)) | (~v195(constB196))))),
% 17.08/12.30 inference(unit_resolution,[status(thm)],[33378, 161])).
% 17.08/12.30 tff(33380,plain,
% 17.08/12.30 ((~![VarNext: $i] : (v157(VarNext) <=> v193(VarNext))) | (v157(constB196) <=> v193(constB196))),
% 17.08/12.31 inference(quant_inst,[status(thm)],[])).
% 17.08/12.31 tff(33381,plain,
% 17.08/12.31 (v157(constB196) <=> v193(constB196)),
% 17.08/12.31 inference(unit_resolution,[status(thm)],[33380, 13])).
% 17.08/12.31 tff(33382,plain,
% 17.08/12.31 (nextState(constB195, constB196) <=> nextState(constB195, constB196)),
% 17.08/12.31 inference(rewrite,[status(thm)],[])).
% 17.08/12.31 tff(33383,axiom,(nextState(constB195, constB196)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_195')).
% 17.08/12.31 tff(33384,plain,
% 17.08/12.31 (nextState(constB195, constB196)),
% 17.08/12.31 inference(modus_ponens,[status(thm)],[33383, 33382])).
% 17.08/12.31 tff(33385,plain,
% 17.08/12.31 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v193(VarNext) <=> v191(VarCurr)))) | ((~nextState(constB195, constB196)) | (v193(constB196) <=> v191(constB195)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v193(VarNext) <=> v191(VarCurr)))) | (~nextState(constB195, constB196)) | (v193(constB196) <=> v191(constB195)))),
% 17.08/12.31 inference(rewrite,[status(thm)],[])).
% 17.08/12.31 tff(33386,plain,
% 17.08/12.31 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v193(VarNext) <=> v191(VarCurr)))) | ((~nextState(constB195, constB196)) | (v193(constB196) <=> v191(constB195)))),
% 17.08/12.31 inference(quant_inst,[status(thm)],[])).
% 17.08/12.31 tff(33387,plain,
% 17.08/12.31 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v193(VarNext) <=> v191(VarCurr)))) | (~nextState(constB195, constB196)) | (v193(constB196) <=> v191(constB195))),
% 17.08/12.31 inference(modus_ponens,[status(thm)],[33386, 33385])).
% 17.08/12.31 tff(33388,plain,
% 17.08/12.31 (v193(constB196) <=> v191(constB195)),
% 17.08/12.31 inference(unit_resolution,[status(thm)],[33387, 33384, 70])).
% 17.08/12.31 tff(33389,plain,
% 17.08/12.31 ((~![VarCurr: $i] : (v191(VarCurr) <=> (v194(VarCurr) | v198(VarCurr)))) | (v191(constB195) <=> (v194(constB195) | v198(constB195)))),
% 17.08/12.31 inference(quant_inst,[status(thm)],[])).
% 17.08/12.31 tff(33390,plain,
% 17.08/12.31 (v191(constB195) <=> (v194(constB195) | v198(constB195))),
% 17.08/12.31 inference(unit_resolution,[status(thm)],[33389, 84])).
% 17.08/12.31 tff(33391,plain,
% 17.08/12.31 (((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB195) <=> (~((~v157(constB195)) | (~v195(constB195)))))) <=> ((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB195) <=> (~((~v157(constB195)) | (~v195(constB195))))))),
% 17.08/12.31 inference(rewrite,[status(thm)],[])).
% 17.08/12.31 tff(33392,plain,
% 17.08/12.31 ((v194(constB195) <=> (~((~v195(constB195)) | (~v157(constB195))))) <=> (v194(constB195) <=> (~((~v157(constB195)) | (~v195(constB195)))))),
% 17.08/12.31 inference(rewrite,[status(thm)],[])).
% 17.08/12.31 tff(33393,plain,
% 17.08/12.31 (((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB195) <=> (~((~v195(constB195)) | (~v157(constB195)))))) <=> ((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB195) <=> (~((~v157(constB195)) | (~v195(constB195))))))),
% 17.08/12.31 inference(monotonicity,[status(thm)],[33392])).
% 17.08/12.31 tff(33394,plain,
% 17.08/12.31 (((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB195) <=> (~((~v195(constB195)) | (~v157(constB195)))))) <=> ((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB195) <=> (~((~v157(constB195)) | (~v195(constB195))))))),
% 17.08/12.31 inference(transitivity,[status(thm)],[33393, 33391])).
% 17.08/12.31 tff(33395,plain,
% 17.08/12.31 ((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB195) <=> (~((~v195(constB195)) | (~v157(constB195)))))),
% 17.08/12.31 inference(quant_inst,[status(thm)],[])).
% 17.08/12.31 tff(33396,plain,
% 17.08/12.31 ((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB195) <=> (~((~v157(constB195)) | (~v195(constB195)))))),
% 17.08/12.31 inference(modus_ponens,[status(thm)],[33395, 33394])).
% 17.08/12.31 tff(33397,plain,
% 17.08/12.31 (v194(constB195) <=> (~((~v157(constB195)) | (~v195(constB195))))),
% 17.08/12.31 inference(unit_resolution,[status(thm)],[33396, 161])).
% 17.08/12.31 tff(33398,plain,
% 17.08/12.31 ((~![VarCurr: $i] : ((~v195(VarCurr)) <=> v196(VarCurr))) | ((~v195(constB195)) <=> v196(constB195))),
% 17.08/12.31 inference(quant_inst,[status(thm)],[])).
% 17.08/12.31 tff(33399,plain,
% 17.08/12.31 ((~v195(constB195)) <=> v196(constB195)),
% 17.08/12.31 inference(unit_resolution,[status(thm)],[33398, 193])).
% 17.08/12.31 tff(33400,plain,
% 17.08/12.31 ((~![VarCurr: $i] : (v196(VarCurr) <=> (v197(VarCurr) | v26(VarCurr)))) | (v196(constB195) <=> (v197(constB195) | v26(constB195)))),
% 17.08/12.31 inference(quant_inst,[status(thm)],[])).
% 17.08/12.31 tff(33401,plain,
% 17.08/12.31 (v196(constB195) <=> (v197(constB195) | v26(constB195))),
% 17.08/12.31 inference(unit_resolution,[status(thm)],[33400, 202])).
% 17.08/12.31 tff(33402,plain,
% 17.08/12.31 ((~![VarCurr: $i] : (v197(VarCurr) <=> (~((~v39(VarCurr)) | (~v9(VarCurr)))))) | (v197(constB195) <=> (~((~v39(constB195)) | (~v9(constB195)))))),
% 17.08/12.31 inference(quant_inst,[status(thm)],[])).
% 17.08/12.31 tff(33403,plain,
% 17.08/12.31 (v197(constB195) <=> (~((~v39(constB195)) | (~v9(constB195))))),
% 17.08/12.31 inference(unit_resolution,[status(thm)],[33402, 120])).
% 17.08/12.31 tff(33404,plain,
% 17.08/12.31 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | ((~nextState(constB195, constB196)) | (v13(constB196) <=> v9(constB195)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | (~nextState(constB195, constB196)) | (v13(constB196) <=> v9(constB195)))),
% 17.08/12.31 inference(rewrite,[status(thm)],[])).
% 17.08/12.31 tff(33405,plain,
% 17.08/12.31 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | ((~nextState(constB195, constB196)) | (v13(constB196) <=> v9(constB195)))),
% 17.08/12.31 inference(quant_inst,[status(thm)],[])).
% 17.08/12.31 tff(33406,plain,
% 17.08/12.31 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | (~nextState(constB195, constB196)) | (v13(constB196) <=> v9(constB195))),
% 17.08/12.31 inference(modus_ponens,[status(thm)],[33405, 33404])).
% 17.08/12.31 tff(33407,plain,
% 17.08/12.31 (v13(constB196) <=> v9(constB195)),
% 17.08/12.31 inference(unit_resolution,[status(thm)],[33406, 33384, 216])).
% 17.08/12.31 tff(33408,plain,
% 17.08/12.31 ((~![VarNext: $i] : (v6(VarNext) <=> v13(VarNext))) | (v6(constB196) <=> v13(constB196))),
% 17.08/12.31 inference(quant_inst,[status(thm)],[])).
% 17.08/12.31 tff(33409,plain,
% 17.08/12.31 (v6(constB196) <=> v13(constB196)),
% 17.08/12.31 inference(unit_resolution,[status(thm)],[33408, 230])).
% 17.08/12.31 tff(33410,plain,
% 17.08/12.31 ((~![VarCurr: $i] : ((~v21(VarCurr)) <=> v6(VarCurr))) | ((~v21(constB196)) <=> v6(constB196))),
% 17.08/12.31 inference(quant_inst,[status(thm)],[])).
% 17.08/12.31 tff(33411,plain,
% 17.08/12.31 ((~v21(constB196)) <=> v6(constB196)),
% 17.08/12.31 inference(unit_resolution,[status(thm)],[33410, 239])).
% 17.08/12.31 tff(33412,plain,
% 17.08/12.31 ((~![VarCurr: $i] : (v19(VarCurr) <=> (v20(VarCurr) | v21(VarCurr)))) | (v19(constB196) <=> (v20(constB196) | v21(constB196)))),
% 17.08/12.31 inference(quant_inst,[status(thm)],[])).
% 17.08/12.31 tff(33413,plain,
% 17.08/12.31 (v19(constB196) <=> (v20(constB196) | v21(constB196))),
% 17.08/12.31 inference(unit_resolution,[status(thm)],[33412, 248])).
% 17.08/12.31 tff(33414,plain,
% 17.08/12.31 ((~![VarCurr: $i] : (v18(VarCurr) <=> (~((~v19(VarCurr)) | (~v22(VarCurr)))))) | (v18(constB196) <=> (~((~v19(constB196)) | (~v22(constB196)))))),
% 17.08/12.31 inference(quant_inst,[status(thm)],[])).
% 17.08/12.31 tff(33415,plain,
% 17.08/12.31 (v18(constB196) <=> (~((~v19(constB196)) | (~v22(constB196))))),
% 17.08/12.31 inference(unit_resolution,[status(thm)],[33414, 260])).
% 17.08/12.31 tff(33416,plain,
% 17.08/12.31 ((~![VarCurr: $i] : ((~v4(VarCurr)) <=> v18(VarCurr))) | ((~v4(constB196)) <=> v18(constB196))),
% 17.08/12.31 inference(quant_inst,[status(thm)],[])).
% 17.08/12.31 tff(33417,plain,
% 17.08/12.31 ((~v4(constB196)) <=> v18(constB196)),
% 17.08/12.31 inference(unit_resolution,[status(thm)],[33416, 269])).
% 17.08/12.31 tff(33418,plain,
% 17.08/12.31 ((~![VarCurr: $i] : v4(VarCurr)) | v4(constB196)),
% 17.08/12.31 inference(quant_inst,[status(thm)],[])).
% 17.08/12.31 tff(33419,plain,
% 17.08/12.31 (v4(constB196)),
% 17.08/12.31 inference(unit_resolution,[status(thm)],[33418, 278])).
% 17.08/12.31 tff(33420,plain,
% 17.08/12.31 ((~((~v4(constB196)) <=> v18(constB196))) | (~v4(constB196)) | (~v18(constB196))),
% 17.08/12.31 inference(tautology,[status(thm)],[])).
% 17.08/12.31 tff(33421,plain,
% 17.08/12.31 (~v18(constB196)),
% 17.08/12.31 inference(unit_resolution,[status(thm)],[33420, 33419, 33417])).
% 17.08/12.31 tff(33422,plain,
% 17.08/12.31 ((~(v18(constB196) <=> (~((~v19(constB196)) | (~v22(constB196)))))) | v18(constB196) | ((~v19(constB196)) | (~v22(constB196)))),
% 17.08/12.31 inference(tautology,[status(thm)],[])).
% 17.08/12.31 tff(33423,plain,
% 17.08/12.31 ((~v19(constB196)) | (~v22(constB196))),
% 17.08/12.31 inference(unit_resolution,[status(thm)],[33422, 33421, 33415])).
% 17.08/12.31 tff(33424,plain,
% 17.08/12.31 ((~![VarCurr: $i] : (v22(VarCurr) <=> (v1(VarCurr) | v6(VarCurr)))) | (v22(constB196) <=> (v1(constB196) | v6(constB196)))),
% 17.08/12.31 inference(quant_inst,[status(thm)],[])).
% 17.08/12.31 tff(33425,plain,
% 17.08/12.31 (v22(constB196) <=> (v1(constB196) | v6(constB196))),
% 17.08/12.31 inference(unit_resolution,[status(thm)],[33424, 291])).
% 17.08/12.31 tff(33426,plain,
% 17.08/12.31 ((v1(constB196) | v6(constB196)) | (~v1(constB196))),
% 17.08/12.31 inference(tautology,[status(thm)],[])).
% 17.08/12.31 tff(33427,plain,
% 17.08/12.31 (v1(constB196) | v6(constB196)),
% 17.08/12.31 inference(unit_resolution,[status(thm)],[33426, 33355])).
% 17.08/12.31 tff(33428,plain,
% 17.08/12.31 ((~(v22(constB196) <=> (v1(constB196) | v6(constB196)))) | v22(constB196) | (~(v1(constB196) | v6(constB196)))),
% 17.08/12.31 inference(tautology,[status(thm)],[])).
% 17.08/12.31 tff(33429,plain,
% 17.08/12.31 ((~(v22(constB196) <=> (v1(constB196) | v6(constB196)))) | v22(constB196)),
% 17.08/12.31 inference(unit_resolution,[status(thm)],[33428, 33427])).
% 17.08/12.31 tff(33430,plain,
% 17.08/12.31 (v22(constB196)),
% 17.08/12.31 inference(unit_resolution,[status(thm)],[33429, 33425])).
% 17.08/12.31 tff(33431,plain,
% 17.08/12.31 ((~((~v19(constB196)) | (~v22(constB196)))) | (~v19(constB196)) | (~v22(constB196))),
% 17.08/12.31 inference(tautology,[status(thm)],[])).
% 17.08/12.31 tff(33432,plain,
% 17.08/12.31 ((~((~v19(constB196)) | (~v22(constB196)))) | (~v19(constB196))),
% 17.08/12.31 inference(unit_resolution,[status(thm)],[33431, 33430])).
% 17.08/12.31 tff(33433,plain,
% 17.08/12.31 (~v19(constB196)),
% 17.08/12.31 inference(unit_resolution,[status(thm)],[33432, 33423])).
% 17.08/12.31 tff(33434,plain,
% 17.08/12.31 ((~(v19(constB196) <=> (v20(constB196) | v21(constB196)))) | v19(constB196) | (~(v20(constB196) | v21(constB196)))),
% 17.08/12.31 inference(tautology,[status(thm)],[])).
% 17.08/12.31 tff(33435,plain,
% 17.08/12.31 (~(v20(constB196) | v21(constB196))),
% 17.08/12.31 inference(unit_resolution,[status(thm)],[33434, 33433, 33413])).
% 17.08/12.31 tff(33436,plain,
% 17.08/12.31 ((v20(constB196) | v21(constB196)) | (~v21(constB196))),
% 17.08/12.31 inference(tautology,[status(thm)],[])).
% 17.08/12.31 tff(33437,plain,
% 17.08/12.31 (~v21(constB196)),
% 17.08/12.31 inference(unit_resolution,[status(thm)],[33436, 33435])).
% 17.08/12.31 tff(33438,plain,
% 17.08/12.31 ((~((~v21(constB196)) <=> v6(constB196))) | v21(constB196) | v6(constB196)),
% 17.08/12.31 inference(tautology,[status(thm)],[])).
% 17.08/12.31 tff(33439,plain,
% 17.08/12.31 (v6(constB196)),
% 17.08/12.31 inference(unit_resolution,[status(thm)],[33438, 33437, 33411])).
% 17.08/12.31 tff(33440,plain,
% 17.08/12.31 ((~(v6(constB196) <=> v13(constB196))) | (~v6(constB196)) | v13(constB196)),
% 17.08/12.31 inference(tautology,[status(thm)],[])).
% 17.08/12.31 tff(33441,plain,
% 17.08/12.31 (v13(constB196)),
% 17.08/12.31 inference(unit_resolution,[status(thm)],[33440, 33439, 33409])).
% 17.08/12.31 tff(33442,plain,
% 17.08/12.31 ((~(v13(constB196) <=> v9(constB195))) | (~v13(constB196)) | v9(constB195)),
% 17.08/12.31 inference(tautology,[status(thm)],[])).
% 17.08/12.31 tff(33443,plain,
% 17.08/12.31 (v9(constB195)),
% 17.08/12.31 inference(unit_resolution,[status(thm)],[33442, 33441, 33407])).
% 17.08/12.31 tff(33444,plain,
% 17.08/12.31 ((~![VarCurr: $i] : ((~v39(VarCurr)) <=> v1(VarCurr))) | ((~v39(constB195)) <=> v1(constB195))),
% 17.08/12.31 inference(quant_inst,[status(thm)],[])).
% 17.08/12.31 tff(33445,plain,
% 17.08/12.31 ((~v39(constB195)) <=> v1(constB195)),
% 17.08/12.31 inference(unit_resolution,[status(thm)],[33444, 129])).
% 17.08/12.31 tff(33446,plain,
% 17.08/12.31 ((~((~v39(constB195)) <=> v1(constB195))) | v39(constB195) | v1(constB195)),
% 17.08/12.31 inference(tautology,[status(thm)],[])).
% 17.08/12.31 tff(33447,plain,
% 17.08/12.31 ((~((~v39(constB195)) <=> v1(constB195))) | v39(constB195)),
% 17.08/12.31 inference(unit_resolution,[status(thm)],[33446, 23843])).
% 17.08/12.31 tff(33448,plain,
% 17.08/12.31 (v39(constB195)),
% 17.08/12.31 inference(unit_resolution,[status(thm)],[33447, 33445])).
% 17.08/12.31 tff(33449,plain,
% 17.08/12.31 ((~((~v39(constB195)) | (~v9(constB195)))) | (~v39(constB195)) | (~v9(constB195))),
% 17.08/12.31 inference(tautology,[status(thm)],[])).
% 17.08/12.31 tff(33450,plain,
% 17.08/12.31 ((~((~v39(constB195)) | (~v9(constB195)))) | (~v9(constB195))),
% 17.08/12.31 inference(unit_resolution,[status(thm)],[33449, 33448])).
% 17.08/12.31 tff(33451,plain,
% 17.08/12.31 (~((~v39(constB195)) | (~v9(constB195)))),
% 17.08/12.31 inference(unit_resolution,[status(thm)],[33450, 33443])).
% 17.08/12.31 tff(33452,plain,
% 17.08/12.31 ((~(v197(constB195) <=> (~((~v39(constB195)) | (~v9(constB195)))))) | v197(constB195) | ((~v39(constB195)) | (~v9(constB195)))),
% 17.08/12.31 inference(tautology,[status(thm)],[])).
% 17.08/12.31 tff(33453,plain,
% 17.08/12.31 (v197(constB195)),
% 17.08/12.31 inference(unit_resolution,[status(thm)],[33452, 33451, 33403])).
% 17.08/12.31 tff(33454,plain,
% 17.08/12.31 ((v197(constB195) | v26(constB195)) | (~v197(constB195))),
% 17.08/12.31 inference(tautology,[status(thm)],[])).
% 17.08/12.31 tff(33455,plain,
% 17.08/12.31 (v197(constB195) | v26(constB195)),
% 17.08/12.31 inference(unit_resolution,[status(thm)],[33454, 33453])).
% 17.08/12.31 tff(33456,plain,
% 17.08/12.31 ((~(v196(constB195) <=> (v197(constB195) | v26(constB195)))) | v196(constB195) | (~(v197(constB195) | v26(constB195)))),
% 17.08/12.31 inference(tautology,[status(thm)],[])).
% 17.08/12.31 tff(33457,plain,
% 17.08/12.31 (v196(constB195)),
% 17.08/12.31 inference(unit_resolution,[status(thm)],[33456, 33455, 33401])).
% 17.08/12.31 tff(33458,plain,
% 17.08/12.31 ((~((~v195(constB195)) <=> v196(constB195))) | (~v195(constB195)) | (~v196(constB195))),
% 17.08/12.31 inference(tautology,[status(thm)],[])).
% 17.08/12.31 tff(33459,plain,
% 17.08/12.31 (~v195(constB195)),
% 17.08/12.31 inference(unit_resolution,[status(thm)],[33458, 33457, 33399])).
% 17.08/12.31 tff(33460,plain,
% 17.08/12.31 (((~v157(constB195)) | (~v195(constB195))) | v195(constB195)),
% 17.08/12.31 inference(tautology,[status(thm)],[])).
% 17.08/12.31 tff(33461,plain,
% 17.08/12.31 ((~v157(constB195)) | (~v195(constB195))),
% 17.08/12.31 inference(unit_resolution,[status(thm)],[33460, 33459])).
% 17.08/12.31 tff(33462,plain,
% 17.08/12.31 ((~(v194(constB195) <=> (~((~v157(constB195)) | (~v195(constB195)))))) | (~v194(constB195)) | (~((~v157(constB195)) | (~v195(constB195))))),
% 17.08/12.31 inference(tautology,[status(thm)],[])).
% 17.08/12.31 tff(33463,plain,
% 17.08/12.31 (~v194(constB195)),
% 17.08/12.31 inference(unit_resolution,[status(thm)],[33462, 33461, 33397])).
% 17.08/12.31 tff(33464,plain,
% 17.08/12.31 ((~![VarCurr: $i] : (v198(VarCurr) <=> (~((~v199(VarCurr)) | (~v200(VarCurr)))))) | (v198(constB195) <=> (~((~v199(constB195)) | (~v200(constB195)))))),
% 17.08/12.31 inference(quant_inst,[status(thm)],[])).
% 17.08/12.31 tff(33465,plain,
% 17.08/12.31 (v198(constB195) <=> (~((~v199(constB195)) | (~v200(constB195))))),
% 17.08/12.31 inference(unit_resolution,[status(thm)],[33464, 96])).
% 17.08/12.31 tff(33466,plain,
% 17.08/12.31 ((~![VarCurr: $i] : (v200(VarCurr) <=> (~((~v197(VarCurr)) | (~v201(VarCurr)))))) | (v200(constB195) <=> (~((~v197(constB195)) | (~v201(constB195)))))),
% 17.08/12.31 inference(quant_inst,[status(thm)],[])).
% 17.08/12.31 tff(33467,plain,
% 17.08/12.31 (v200(constB195) <=> (~((~v197(constB195)) | (~v201(constB195))))),
% 17.08/12.31 inference(unit_resolution,[status(thm)],[33466, 108])).
% 17.08/12.31 tff(33468,plain,
% 17.08/12.31 ((~![VarCurr: $i] : (v201(VarCurr) <=> (~((~v159(VarCurr)) | (~v161(VarCurr)))))) | (v201(constB195) <=> (~((~v159(constB195)) | (~v161(constB195)))))),
% 17.08/12.31 inference(quant_inst,[status(thm)],[])).
% 17.08/12.31 tff(33469,plain,
% 17.08/12.31 (v201(constB195) <=> (~((~v159(constB195)) | (~v161(constB195))))),
% 17.08/12.31 inference(unit_resolution,[status(thm)],[33468, 348])).
% 17.08/12.31 tff(33470,plain,
% 17.08/12.31 ((~![VarCurr: $i] : (v161(VarCurr) <=> v163(VarCurr))) | (v161(constB195) <=> v163(constB195))),
% 17.08/12.31 inference(quant_inst,[status(thm)],[])).
% 17.08/12.31 tff(33471,plain,
% 17.08/12.31 (v161(constB195) <=> v163(constB195)),
% 17.08/12.31 inference(unit_resolution,[status(thm)],[33470, 357])).
% 17.08/12.31 tff(33472,plain,
% 17.08/12.31 ((~![VarCurr: $i] : (v171(VarCurr) <=> (v142(VarCurr) | v150(VarCurr)))) | (v171(constB195) <=> (v142(constB195) | v150(constB195)))),
% 17.08/12.31 inference(quant_inst,[status(thm)],[])).
% 17.08/12.31 tff(33473,plain,
% 17.08/12.31 (v171(constB195) <=> (v142(constB195) | v150(constB195))),
% 17.08/12.31 inference(unit_resolution,[status(thm)],[33472, 369])).
% 17.08/12.31 tff(33474,plain,
% 17.08/12.31 ((v142(constB195) | v150(constB195)) | (~v142(constB195))),
% 17.08/12.31 inference(tautology,[status(thm)],[])).
% 17.08/12.31 tff(33475,plain,
% 17.08/12.31 (v142(constB195) | v150(constB195)),
% 17.08/12.31 inference(unit_resolution,[status(thm)],[33474, 27175])).
% 17.08/12.31 tff(33476,plain,
% 17.08/12.31 ((~(v171(constB195) <=> (v142(constB195) | v150(constB195)))) | v171(constB195) | (~(v142(constB195) | v150(constB195)))),
% 17.08/12.31 inference(tautology,[status(thm)],[])).
% 17.08/12.31 tff(33477,plain,
% 17.08/12.31 (v171(constB195)),
% 17.08/12.31 inference(unit_resolution,[status(thm)],[33476, 33475, 33473])).
% 17.08/12.31 tff(33478,plain,
% 17.08/12.31 (((~![VarCurr: $i] : ((~v171(VarCurr)) | (~v170(VarCurr)))) | ((~v170(constB195)) | (~v171(constB195)))) <=> ((~![VarCurr: $i] : ((~v171(VarCurr)) | (~v170(VarCurr)))) | (~v170(constB195)) | (~v171(constB195)))),
% 17.08/12.31 inference(rewrite,[status(thm)],[])).
% 17.08/12.31 tff(33479,plain,
% 17.08/12.31 (((~v171(constB195)) | (~v170(constB195))) <=> ((~v170(constB195)) | (~v171(constB195)))),
% 17.08/12.31 inference(rewrite,[status(thm)],[])).
% 17.08/12.31 tff(33480,plain,
% 17.08/12.31 (((~![VarCurr: $i] : ((~v171(VarCurr)) | (~v170(VarCurr)))) | ((~v171(constB195)) | (~v170(constB195)))) <=> ((~![VarCurr: $i] : ((~v171(VarCurr)) | (~v170(VarCurr)))) | ((~v170(constB195)) | (~v171(constB195))))),
% 17.08/12.31 inference(monotonicity,[status(thm)],[33479])).
% 17.08/12.31 tff(33481,plain,
% 17.08/12.31 (((~![VarCurr: $i] : ((~v171(VarCurr)) | (~v170(VarCurr)))) | ((~v171(constB195)) | (~v170(constB195)))) <=> ((~![VarCurr: $i] : ((~v171(VarCurr)) | (~v170(VarCurr)))) | (~v170(constB195)) | (~v171(constB195)))),
% 17.08/12.31 inference(transitivity,[status(thm)],[33480, 33478])).
% 17.08/12.31 tff(33482,plain,
% 17.08/12.31 ((~![VarCurr: $i] : ((~v171(VarCurr)) | (~v170(VarCurr)))) | ((~v171(constB195)) | (~v170(constB195)))),
% 17.08/12.31 inference(quant_inst,[status(thm)],[])).
% 17.08/12.31 tff(33483,plain,
% 17.08/12.31 ((~![VarCurr: $i] : ((~v171(VarCurr)) | (~v170(VarCurr)))) | (~v170(constB195)) | (~v171(constB195))),
% 17.08/12.31 inference(modus_ponens,[status(thm)],[33482, 33481])).
% 17.08/12.31 tff(33484,plain,
% 17.08/12.31 ((~v170(constB195)) | (~v171(constB195))),
% 17.08/12.31 inference(unit_resolution,[status(thm)],[33483, 13061])).
% 17.08/12.31 tff(33485,plain,
% 17.08/12.31 (~v170(constB195)),
% 17.08/12.31 inference(unit_resolution,[status(thm)],[33484, 33477])).
% 17.08/12.31 tff(33486,plain,
% 17.08/12.31 ((~![VarCurr: $i] : (v166(VarCurr) <=> (v145(VarCurr) | v167(VarCurr)))) | (v166(constB195) <=> (v145(constB195) | v167(constB195)))),
% 17.08/12.31 inference(quant_inst,[status(thm)],[])).
% 17.08/12.31 tff(33487,plain,
% 17.08/12.31 (v166(constB195) <=> (v145(constB195) | v167(constB195))),
% 17.08/12.31 inference(unit_resolution,[status(thm)],[33486, 13079])).
% 17.08/12.31 tff(33488,plain,
% 17.08/12.31 ((~![VarCurr: $i] : (v167(VarCurr) <=> (v142(VarCurr) | v168(VarCurr)))) | (v167(constB195) <=> (v142(constB195) | v168(constB195)))),
% 17.08/12.31 inference(quant_inst,[status(thm)],[])).
% 17.08/12.31 tff(33489,plain,
% 17.08/12.31 (v167(constB195) <=> (v142(constB195) | v168(constB195))),
% 17.08/12.31 inference(unit_resolution,[status(thm)],[33488, 13091])).
% 17.08/12.31 tff(33490,plain,
% 17.08/12.31 ((v142(constB195) | v168(constB195)) | (~v142(constB195))),
% 17.08/12.31 inference(tautology,[status(thm)],[])).
% 17.08/12.31 tff(33491,plain,
% 17.08/12.31 (v142(constB195) | v168(constB195)),
% 17.08/12.31 inference(unit_resolution,[status(thm)],[33490, 27175])).
% 17.08/12.31 tff(33492,plain,
% 17.08/12.31 ((~(v167(constB195) <=> (v142(constB195) | v168(constB195)))) | v167(constB195) | (~(v142(constB195) | v168(constB195)))),
% 17.08/12.31 inference(tautology,[status(thm)],[])).
% 17.08/12.31 tff(33493,plain,
% 17.08/12.31 (v167(constB195)),
% 17.08/12.31 inference(unit_resolution,[status(thm)],[33492, 33491, 33489])).
% 17.08/12.31 tff(33494,plain,
% 17.08/12.31 ((v145(constB195) | v167(constB195)) | (~v167(constB195))),
% 17.08/12.31 inference(tautology,[status(thm)],[])).
% 17.08/12.31 tff(33495,plain,
% 17.08/12.31 (v145(constB195) | v167(constB195)),
% 17.08/12.31 inference(unit_resolution,[status(thm)],[33494, 33493])).
% 17.08/12.31 tff(33496,plain,
% 17.08/12.31 ((~(v166(constB195) <=> (v145(constB195) | v167(constB195)))) | v166(constB195) | (~(v145(constB195) | v167(constB195)))),
% 17.08/12.31 inference(tautology,[status(thm)],[])).
% 17.08/12.31 tff(33497,plain,
% 17.08/12.31 (v166(constB195)),
% 17.08/12.31 inference(unit_resolution,[status(thm)],[33496, 33495, 33487])).
% 17.08/12.31 tff(33498,plain,
% 17.08/12.31 (((~![VarNext: $i] : ((~v166(VarNext)) | (v163(VarNext) <=> v170(VarNext)))) | ((~v166(constB195)) | (v163(constB195) <=> v170(constB195)))) <=> ((~![VarNext: $i] : ((~v166(VarNext)) | (v163(VarNext) <=> v170(VarNext)))) | (~v166(constB195)) | (v163(constB195) <=> v170(constB195)))),
% 17.08/12.31 inference(rewrite,[status(thm)],[])).
% 17.08/12.31 tff(33499,plain,
% 17.08/12.31 ((~![VarNext: $i] : ((~v166(VarNext)) | (v163(VarNext) <=> v170(VarNext)))) | ((~v166(constB195)) | (v163(constB195) <=> v170(constB195)))),
% 17.08/12.31 inference(quant_inst,[status(thm)],[])).
% 17.08/12.31 tff(33500,plain,
% 17.08/12.31 ((~![VarNext: $i] : ((~v166(VarNext)) | (v163(VarNext) <=> v170(VarNext)))) | (~v166(constB195)) | (v163(constB195) <=> v170(constB195))),
% 17.08/12.31 inference(modus_ponens,[status(thm)],[33499, 33498])).
% 17.08/12.31 tff(33501,plain,
% 17.08/12.31 ((~v166(constB195)) | (v163(constB195) <=> v170(constB195))),
% 17.08/12.31 inference(unit_resolution,[status(thm)],[33500, 13111])).
% 17.08/12.31 tff(33502,plain,
% 17.08/12.31 (v163(constB195) <=> v170(constB195)),
% 17.08/12.31 inference(unit_resolution,[status(thm)],[33501, 33497])).
% 17.08/12.31 tff(33503,plain,
% 17.08/12.32 ((~(v163(constB195) <=> v170(constB195))) | (~v163(constB195)) | v170(constB195)),
% 17.08/12.32 inference(tautology,[status(thm)],[])).
% 17.08/12.32 tff(33504,plain,
% 17.08/12.32 (~v163(constB195)),
% 17.08/12.32 inference(unit_resolution,[status(thm)],[33503, 33502, 33485])).
% 17.08/12.32 tff(33505,plain,
% 17.08/12.32 ((~(v161(constB195) <=> v163(constB195))) | (~v161(constB195)) | v163(constB195)),
% 17.08/12.32 inference(tautology,[status(thm)],[])).
% 17.08/12.32 tff(33506,plain,
% 17.08/12.32 (~v161(constB195)),
% 17.08/12.32 inference(unit_resolution,[status(thm)],[33505, 33504, 33471])).
% 17.08/12.32 tff(33507,plain,
% 17.08/12.32 (((~v159(constB195)) | (~v161(constB195))) | v161(constB195)),
% 17.08/12.32 inference(tautology,[status(thm)],[])).
% 17.08/12.32 tff(33508,plain,
% 17.08/12.32 ((~v159(constB195)) | (~v161(constB195))),
% 17.08/12.32 inference(unit_resolution,[status(thm)],[33507, 33506])).
% 17.08/12.32 tff(33509,plain,
% 17.08/12.32 ((~(v201(constB195) <=> (~((~v159(constB195)) | (~v161(constB195)))))) | (~v201(constB195)) | (~((~v159(constB195)) | (~v161(constB195))))),
% 17.08/12.32 inference(tautology,[status(thm)],[])).
% 17.08/12.32 tff(33510,plain,
% 17.08/12.32 (~v201(constB195)),
% 17.08/12.32 inference(unit_resolution,[status(thm)],[33509, 33508, 33469])).
% 17.08/12.32 tff(33511,plain,
% 17.08/12.32 (((~v197(constB195)) | (~v201(constB195))) | v201(constB195)),
% 17.08/12.32 inference(tautology,[status(thm)],[])).
% 17.08/12.32 tff(33512,plain,
% 17.08/12.32 ((~v197(constB195)) | (~v201(constB195))),
% 17.08/12.32 inference(unit_resolution,[status(thm)],[33511, 33510])).
% 17.08/12.32 tff(33513,plain,
% 17.08/12.32 ((~(v200(constB195) <=> (~((~v197(constB195)) | (~v201(constB195)))))) | (~v200(constB195)) | (~((~v197(constB195)) | (~v201(constB195))))),
% 17.08/12.32 inference(tautology,[status(thm)],[])).
% 17.08/12.32 tff(33514,plain,
% 17.08/12.32 (~v200(constB195)),
% 17.08/12.32 inference(unit_resolution,[status(thm)],[33513, 33512, 33467])).
% 17.08/12.32 tff(33515,plain,
% 17.08/12.32 (((~v199(constB195)) | (~v200(constB195))) | v200(constB195)),
% 17.08/12.32 inference(tautology,[status(thm)],[])).
% 17.08/12.32 tff(33516,plain,
% 17.08/12.32 ((~v199(constB195)) | (~v200(constB195))),
% 17.08/12.32 inference(unit_resolution,[status(thm)],[33515, 33514])).
% 17.08/12.32 tff(33517,plain,
% 17.08/12.32 ((~(v198(constB195) <=> (~((~v199(constB195)) | (~v200(constB195)))))) | (~v198(constB195)) | (~((~v199(constB195)) | (~v200(constB195))))),
% 17.08/12.32 inference(tautology,[status(thm)],[])).
% 17.08/12.32 tff(33518,plain,
% 17.08/12.32 (~v198(constB195)),
% 17.08/12.32 inference(unit_resolution,[status(thm)],[33517, 33516, 33465])).
% 17.08/12.32 tff(33519,plain,
% 17.08/12.32 ((~(v194(constB195) | v198(constB195))) | v194(constB195) | v198(constB195)),
% 17.08/12.32 inference(tautology,[status(thm)],[])).
% 17.08/12.32 tff(33520,plain,
% 17.08/12.32 (~(v194(constB195) | v198(constB195))),
% 17.08/12.32 inference(unit_resolution,[status(thm)],[33519, 33518, 33463])).
% 17.08/12.32 tff(33521,plain,
% 17.08/12.32 ((~(v191(constB195) <=> (v194(constB195) | v198(constB195)))) | (~v191(constB195)) | (v194(constB195) | v198(constB195))),
% 17.08/12.32 inference(tautology,[status(thm)],[])).
% 17.08/12.32 tff(33522,plain,
% 17.08/12.32 (~v191(constB195)),
% 17.08/12.32 inference(unit_resolution,[status(thm)],[33521, 33520, 33390])).
% 17.08/12.32 tff(33523,plain,
% 17.08/12.32 ((~(v193(constB196) <=> v191(constB195))) | (~v193(constB196)) | v191(constB195)),
% 17.08/12.32 inference(tautology,[status(thm)],[])).
% 17.08/12.32 tff(33524,plain,
% 17.08/12.32 (~v193(constB196)),
% 17.08/12.32 inference(unit_resolution,[status(thm)],[33523, 33522, 33388])).
% 17.08/12.32 tff(33525,plain,
% 17.08/12.32 ((~(v157(constB196) <=> v193(constB196))) | (~v157(constB196)) | v193(constB196)),
% 17.08/12.32 inference(tautology,[status(thm)],[])).
% 17.08/12.32 tff(33526,plain,
% 17.08/12.32 (~v157(constB196)),
% 17.08/12.32 inference(unit_resolution,[status(thm)],[33525, 33524, 33381])).
% 17.08/12.32 tff(33527,plain,
% 17.08/12.32 (((~v157(constB196)) | (~v195(constB196))) | v157(constB196)),
% 17.08/12.32 inference(tautology,[status(thm)],[])).
% 17.08/12.32 tff(33528,plain,
% 17.08/12.32 ((~v157(constB196)) | (~v195(constB196))),
% 17.08/12.32 inference(unit_resolution,[status(thm)],[33527, 33526])).
% 17.08/12.32 tff(33529,plain,
% 17.08/12.32 ((~(v194(constB196) <=> (~((~v157(constB196)) | (~v195(constB196)))))) | (~v194(constB196)) | (~((~v157(constB196)) | (~v195(constB196))))),
% 17.08/12.32 inference(tautology,[status(thm)],[])).
% 17.08/12.32 tff(33530,plain,
% 17.08/12.32 (~v194(constB196)),
% 17.08/12.32 inference(unit_resolution,[status(thm)],[33529, 33528, 33379])).
% 17.08/12.32 tff(33531,plain,
% 17.08/12.32 ((~(v194(constB196) | v198(constB196))) | v194(constB196) | v198(constB196)),
% 17.08/12.32 inference(tautology,[status(thm)],[])).
% 17.08/12.32 tff(33532,plain,
% 17.08/12.32 (~(v194(constB196) | v198(constB196))),
% 17.08/12.32 inference(unit_resolution,[status(thm)],[33531, 33530, 33372])).
% 17.08/12.32 tff(33533,plain,
% 17.08/12.32 ((~(v191(constB196) <=> (v194(constB196) | v198(constB196)))) | (~v191(constB196)) | (v194(constB196) | v198(constB196))),
% 17.08/12.32 inference(tautology,[status(thm)],[])).
% 17.08/12.32 tff(33534,plain,
% 17.08/12.32 (~v191(constB196)),
% 17.08/12.32 inference(unit_resolution,[status(thm)],[33533, 33532, 33344])).
% 17.08/12.32 tff(33535,plain,
% 17.08/12.32 ((~(v193(constB197) <=> v191(constB196))) | (~v193(constB197)) | v191(constB196)),
% 17.08/12.32 inference(tautology,[status(thm)],[])).
% 17.08/12.32 tff(33536,plain,
% 17.08/12.32 (~v193(constB197)),
% 17.08/12.32 inference(unit_resolution,[status(thm)],[33535, 33534, 33342])).
% 17.08/12.32 tff(33537,plain,
% 17.08/12.32 ($false),
% 17.08/12.32 inference(unit_resolution,[status(thm)],[33536, 33335])).
% 17.08/12.32 tff(33538,plain,(~(constB197 = VarCurr!0)), inference(lemma,lemma(discharge,[]))).
% 17.08/12.32 tff(33539,assumption,(constB143 = VarCurr!0), introduced(assumption)).
% 17.08/12.32 tff(33540,plain,
% 17.08/12.32 (v193(constB143) <=> v193(VarCurr!0)),
% 17.08/12.32 inference(monotonicity,[status(thm)],[33539])).
% 17.08/12.32 tff(33541,plain,
% 17.08/12.32 (v193(VarCurr!0) <=> v193(constB143)),
% 17.08/12.32 inference(symmetry,[status(thm)],[33540])).
% 17.08/12.32 tff(33542,plain,
% 17.08/12.32 (v193(constB143)),
% 17.08/12.32 inference(modus_ponens,[status(thm)],[59, 33541])).
% 17.08/12.32 tff(33543,plain,
% 17.08/12.32 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v193(VarNext) <=> v191(VarCurr)))) | ((~nextState(constB142, constB143)) | (v193(constB143) <=> v191(constB142)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v193(VarNext) <=> v191(VarCurr)))) | (~nextState(constB142, constB143)) | (v193(constB143) <=> v191(constB142)))),
% 17.08/12.32 inference(rewrite,[status(thm)],[])).
% 17.08/12.32 tff(33544,plain,
% 17.08/12.32 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v193(VarNext) <=> v191(VarCurr)))) | ((~nextState(constB142, constB143)) | (v193(constB143) <=> v191(constB142)))),
% 17.08/12.32 inference(quant_inst,[status(thm)],[])).
% 17.08/12.32 tff(33545,plain,
% 17.08/12.32 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v193(VarNext) <=> v191(VarCurr)))) | (~nextState(constB142, constB143)) | (v193(constB143) <=> v191(constB142))),
% 17.08/12.32 inference(modus_ponens,[status(thm)],[33544, 33543])).
% 17.08/12.32 tff(33546,plain,
% 17.08/12.32 (v193(constB143) <=> v191(constB142)),
% 17.08/12.32 inference(unit_resolution,[status(thm)],[33545, 13896, 70])).
% 17.08/12.32 tff(33547,plain,
% 17.08/12.32 ((~![VarCurr: $i] : (v191(VarCurr) <=> (v194(VarCurr) | v198(VarCurr)))) | (v191(constB142) <=> (v194(constB142) | v198(constB142)))),
% 17.08/12.32 inference(quant_inst,[status(thm)],[])).
% 17.08/12.32 tff(33548,plain,
% 17.08/12.32 (v191(constB142) <=> (v194(constB142) | v198(constB142))),
% 17.08/12.32 inference(unit_resolution,[status(thm)],[33547, 84])).
% 17.08/12.32 tff(33549,plain,
% 17.08/12.32 ((~![VarCurr: $i] : (v198(VarCurr) <=> (~((~v199(VarCurr)) | (~v200(VarCurr)))))) | (v198(constB142) <=> (~((~v199(constB142)) | (~v200(constB142)))))),
% 17.08/12.32 inference(quant_inst,[status(thm)],[])).
% 17.08/12.32 tff(33550,plain,
% 17.08/12.32 (v198(constB142) <=> (~((~v199(constB142)) | (~v200(constB142))))),
% 17.08/12.32 inference(unit_resolution,[status(thm)],[33549, 96])).
% 17.08/12.32 tff(33551,plain,
% 17.08/12.32 ((~![VarCurr: $i] : (v200(VarCurr) <=> (~((~v197(VarCurr)) | (~v201(VarCurr)))))) | (v200(constB142) <=> (~((~v197(constB142)) | (~v201(constB142)))))),
% 17.08/12.32 inference(quant_inst,[status(thm)],[])).
% 17.08/12.32 tff(33552,plain,
% 17.08/12.32 (v200(constB142) <=> (~((~v197(constB142)) | (~v201(constB142))))),
% 17.08/12.32 inference(unit_resolution,[status(thm)],[33551, 108])).
% 17.08/12.32 tff(33553,plain,
% 17.08/12.32 ((~![VarCurr: $i] : (v197(VarCurr) <=> (~((~v39(VarCurr)) | (~v9(VarCurr)))))) | (v197(constB142) <=> (~((~v39(constB142)) | (~v9(constB142)))))),
% 17.08/12.32 inference(quant_inst,[status(thm)],[])).
% 17.08/12.32 tff(33554,plain,
% 17.08/12.32 (v197(constB142) <=> (~((~v39(constB142)) | (~v9(constB142))))),
% 17.08/12.32 inference(unit_resolution,[status(thm)],[33553, 120])).
% 17.08/12.32 tff(33555,plain,
% 17.08/12.32 ((~![VarCurr: $i] : ((~v39(VarCurr)) <=> v1(VarCurr))) | ((~v39(constB142)) <=> v1(constB142))),
% 17.08/12.32 inference(quant_inst,[status(thm)],[])).
% 17.08/12.32 tff(33556,plain,
% 17.08/12.32 ((~v39(constB142)) <=> v1(constB142)),
% 17.08/12.32 inference(unit_resolution,[status(thm)],[33555, 129])).
% 17.08/12.32 tff(33557,plain,
% 17.08/12.32 ((~((~v39(constB142)) <=> v1(constB142))) | (~v39(constB142)) | (~v1(constB142))),
% 17.08/12.32 inference(tautology,[status(thm)],[])).
% 17.08/12.32 tff(33558,plain,
% 17.08/12.32 ((~((~v39(constB142)) <=> v1(constB142))) | (~v39(constB142))),
% 17.08/12.32 inference(unit_resolution,[status(thm)],[33557, 13958])).
% 17.08/12.32 tff(33559,plain,
% 17.08/12.32 (~v39(constB142)),
% 17.08/12.32 inference(unit_resolution,[status(thm)],[33558, 33556])).
% 17.08/12.32 tff(33560,plain,
% 17.08/12.32 (((~v39(constB142)) | (~v9(constB142))) | v39(constB142)),
% 17.08/12.32 inference(tautology,[status(thm)],[])).
% 17.08/12.32 tff(33561,plain,
% 17.08/12.32 ((~v39(constB142)) | (~v9(constB142))),
% 17.08/12.32 inference(unit_resolution,[status(thm)],[33560, 33559])).
% 17.08/12.32 tff(33562,plain,
% 17.08/12.32 ((~(v197(constB142) <=> (~((~v39(constB142)) | (~v9(constB142)))))) | (~v197(constB142)) | (~((~v39(constB142)) | (~v9(constB142))))),
% 17.08/12.32 inference(tautology,[status(thm)],[])).
% 17.08/12.32 tff(33563,plain,
% 17.08/12.32 ((~(v197(constB142) <=> (~((~v39(constB142)) | (~v9(constB142)))))) | (~v197(constB142))),
% 17.08/12.32 inference(unit_resolution,[status(thm)],[33562, 33561])).
% 17.08/12.32 tff(33564,plain,
% 17.08/12.32 (~v197(constB142)),
% 17.08/12.32 inference(unit_resolution,[status(thm)],[33563, 33554])).
% 17.08/12.32 tff(33565,plain,
% 17.08/12.32 (((~v197(constB142)) | (~v201(constB142))) | v197(constB142)),
% 17.08/12.32 inference(tautology,[status(thm)],[])).
% 17.08/12.32 tff(33566,plain,
% 17.08/12.32 ((~v197(constB142)) | (~v201(constB142))),
% 17.08/12.32 inference(unit_resolution,[status(thm)],[33565, 33564])).
% 17.08/12.32 tff(33567,plain,
% 17.08/12.32 ((~(v200(constB142) <=> (~((~v197(constB142)) | (~v201(constB142)))))) | (~v200(constB142)) | (~((~v197(constB142)) | (~v201(constB142))))),
% 17.08/12.32 inference(tautology,[status(thm)],[])).
% 17.08/12.32 tff(33568,plain,
% 17.08/12.32 ((~(v200(constB142) <=> (~((~v197(constB142)) | (~v201(constB142)))))) | (~v200(constB142))),
% 17.08/12.32 inference(unit_resolution,[status(thm)],[33567, 33566])).
% 17.08/12.32 tff(33569,plain,
% 17.08/12.32 (~v200(constB142)),
% 17.08/12.32 inference(unit_resolution,[status(thm)],[33568, 33552])).
% 17.08/12.32 tff(33570,plain,
% 17.08/12.32 (((~v199(constB142)) | (~v200(constB142))) | v200(constB142)),
% 17.08/12.32 inference(tautology,[status(thm)],[])).
% 17.08/12.32 tff(33571,plain,
% 17.08/12.32 ((~v199(constB142)) | (~v200(constB142))),
% 17.08/12.32 inference(unit_resolution,[status(thm)],[33570, 33569])).
% 17.08/12.32 tff(33572,plain,
% 17.08/12.32 ((~(v198(constB142) <=> (~((~v199(constB142)) | (~v200(constB142)))))) | (~v198(constB142)) | (~((~v199(constB142)) | (~v200(constB142))))),
% 17.08/12.32 inference(tautology,[status(thm)],[])).
% 17.08/12.32 tff(33573,plain,
% 17.08/12.32 (~v198(constB142)),
% 17.08/12.32 inference(unit_resolution,[status(thm)],[33572, 33571, 33550])).
% 17.08/12.32 tff(33574,plain,
% 17.08/12.32 (((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB142) <=> (~((~v157(constB142)) | (~v195(constB142)))))) <=> ((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB142) <=> (~((~v157(constB142)) | (~v195(constB142))))))),
% 17.08/12.32 inference(rewrite,[status(thm)],[])).
% 17.08/12.32 tff(33575,plain,
% 17.08/12.32 ((v194(constB142) <=> (~((~v195(constB142)) | (~v157(constB142))))) <=> (v194(constB142) <=> (~((~v157(constB142)) | (~v195(constB142)))))),
% 17.08/12.32 inference(rewrite,[status(thm)],[])).
% 17.08/12.32 tff(33576,plain,
% 17.08/12.32 (((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB142) <=> (~((~v195(constB142)) | (~v157(constB142)))))) <=> ((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB142) <=> (~((~v157(constB142)) | (~v195(constB142))))))),
% 17.08/12.32 inference(monotonicity,[status(thm)],[33575])).
% 17.08/12.32 tff(33577,plain,
% 17.08/12.32 (((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB142) <=> (~((~v195(constB142)) | (~v157(constB142)))))) <=> ((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB142) <=> (~((~v157(constB142)) | (~v195(constB142))))))),
% 17.08/12.32 inference(transitivity,[status(thm)],[33576, 33574])).
% 17.08/12.32 tff(33578,plain,
% 17.08/12.32 ((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB142) <=> (~((~v195(constB142)) | (~v157(constB142)))))),
% 17.08/12.32 inference(quant_inst,[status(thm)],[])).
% 17.08/12.32 tff(33579,plain,
% 17.08/12.32 ((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB142) <=> (~((~v157(constB142)) | (~v195(constB142)))))),
% 17.08/12.32 inference(modus_ponens,[status(thm)],[33578, 33577])).
% 17.08/12.32 tff(33580,plain,
% 17.08/12.32 (v194(constB142) <=> (~((~v157(constB142)) | (~v195(constB142))))),
% 17.08/12.32 inference(unit_resolution,[status(thm)],[33579, 161])).
% 17.08/12.32 tff(33581,plain,
% 17.08/12.32 ((~![VarNext: $i] : (v157(VarNext) <=> v193(VarNext))) | (v157(constB142) <=> v193(constB142))),
% 17.08/12.32 inference(quant_inst,[status(thm)],[])).
% 17.08/12.32 tff(33582,plain,
% 17.08/12.32 (v157(constB142) <=> v193(constB142)),
% 17.08/12.32 inference(unit_resolution,[status(thm)],[33581, 13])).
% 17.08/12.32 tff(33583,plain,
% 17.08/12.32 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v193(VarNext) <=> v191(VarCurr)))) | ((~nextState(constB141, constB142)) | (v193(constB142) <=> v191(constB141)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v193(VarNext) <=> v191(VarCurr)))) | (~nextState(constB141, constB142)) | (v193(constB142) <=> v191(constB141)))),
% 17.08/12.32 inference(rewrite,[status(thm)],[])).
% 17.08/12.32 tff(33584,plain,
% 17.08/12.32 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v193(VarNext) <=> v191(VarCurr)))) | ((~nextState(constB141, constB142)) | (v193(constB142) <=> v191(constB141)))),
% 17.08/12.32 inference(quant_inst,[status(thm)],[])).
% 17.08/12.32 tff(33585,plain,
% 17.08/12.32 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v193(VarNext) <=> v191(VarCurr)))) | (~nextState(constB141, constB142)) | (v193(constB142) <=> v191(constB141))),
% 17.08/12.32 inference(modus_ponens,[status(thm)],[33584, 33583])).
% 17.08/12.32 tff(33586,plain,
% 17.08/12.32 (v193(constB142) <=> v191(constB141)),
% 17.08/12.32 inference(unit_resolution,[status(thm)],[33585, 13928, 70])).
% 17.08/12.32 tff(33587,plain,
% 17.08/12.32 ((~![VarCurr: $i] : (v191(VarCurr) <=> (v194(VarCurr) | v198(VarCurr)))) | (v191(constB141) <=> (v194(constB141) | v198(constB141)))),
% 17.08/12.32 inference(quant_inst,[status(thm)],[])).
% 17.08/12.32 tff(33588,plain,
% 17.08/12.32 (v191(constB141) <=> (v194(constB141) | v198(constB141))),
% 17.08/12.32 inference(unit_resolution,[status(thm)],[33587, 84])).
% 17.08/12.32 tff(33589,plain,
% 17.08/12.32 (((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB141) <=> (~((~v157(constB141)) | (~v195(constB141)))))) <=> ((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB141) <=> (~((~v157(constB141)) | (~v195(constB141))))))),
% 17.08/12.32 inference(rewrite,[status(thm)],[])).
% 17.08/12.32 tff(33590,plain,
% 17.08/12.32 ((v194(constB141) <=> (~((~v195(constB141)) | (~v157(constB141))))) <=> (v194(constB141) <=> (~((~v157(constB141)) | (~v195(constB141)))))),
% 17.08/12.32 inference(rewrite,[status(thm)],[])).
% 17.08/12.32 tff(33591,plain,
% 17.08/12.32 (((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB141) <=> (~((~v195(constB141)) | (~v157(constB141)))))) <=> ((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB141) <=> (~((~v157(constB141)) | (~v195(constB141))))))),
% 17.08/12.32 inference(monotonicity,[status(thm)],[33590])).
% 17.08/12.32 tff(33592,plain,
% 17.08/12.32 (((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB141) <=> (~((~v195(constB141)) | (~v157(constB141)))))) <=> ((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB141) <=> (~((~v157(constB141)) | (~v195(constB141))))))),
% 17.08/12.32 inference(transitivity,[status(thm)],[33591, 33589])).
% 17.08/12.32 tff(33593,plain,
% 17.08/12.32 ((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB141) <=> (~((~v195(constB141)) | (~v157(constB141)))))),
% 17.08/12.32 inference(quant_inst,[status(thm)],[])).
% 17.08/12.32 tff(33594,plain,
% 17.08/12.32 ((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB141) <=> (~((~v157(constB141)) | (~v195(constB141)))))),
% 17.08/12.32 inference(modus_ponens,[status(thm)],[33593, 33592])).
% 17.08/12.32 tff(33595,plain,
% 17.08/12.32 (v194(constB141) <=> (~((~v157(constB141)) | (~v195(constB141))))),
% 17.08/12.32 inference(unit_resolution,[status(thm)],[33594, 161])).
% 17.08/12.32 tff(33596,plain,
% 17.08/12.32 ((~![VarCurr: $i] : ((~v195(VarCurr)) <=> v196(VarCurr))) | ((~v195(constB141)) <=> v196(constB141))),
% 17.08/12.32 inference(quant_inst,[status(thm)],[])).
% 17.08/12.32 tff(33597,plain,
% 17.08/12.32 ((~v195(constB141)) <=> v196(constB141)),
% 17.08/12.32 inference(unit_resolution,[status(thm)],[33596, 193])).
% 17.08/12.32 tff(33598,plain,
% 17.08/12.32 ((~![VarCurr: $i] : (v196(VarCurr) <=> (v197(VarCurr) | v26(VarCurr)))) | (v196(constB141) <=> (v197(constB141) | v26(constB141)))),
% 17.08/12.32 inference(quant_inst,[status(thm)],[])).
% 17.08/12.32 tff(33599,plain,
% 17.08/12.32 (v196(constB141) <=> (v197(constB141) | v26(constB141))),
% 17.08/12.32 inference(unit_resolution,[status(thm)],[33598, 202])).
% 17.08/12.32 tff(33600,plain,
% 17.08/12.32 ((~![VarCurr: $i] : (v197(VarCurr) <=> (~((~v39(VarCurr)) | (~v9(VarCurr)))))) | (v197(constB141) <=> (~((~v39(constB141)) | (~v9(constB141)))))),
% 17.08/12.32 inference(quant_inst,[status(thm)],[])).
% 17.08/12.32 tff(33601,plain,
% 17.08/12.32 (v197(constB141) <=> (~((~v39(constB141)) | (~v9(constB141))))),
% 17.08/12.32 inference(unit_resolution,[status(thm)],[33600, 120])).
% 17.08/12.32 tff(33602,plain,
% 17.08/12.32 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | ((~nextState(constB141, constB142)) | (v13(constB142) <=> v9(constB141)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | (~nextState(constB141, constB142)) | (v13(constB142) <=> v9(constB141)))),
% 17.08/12.32 inference(rewrite,[status(thm)],[])).
% 17.08/12.32 tff(33603,plain,
% 17.08/12.32 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | ((~nextState(constB141, constB142)) | (v13(constB142) <=> v9(constB141)))),
% 17.08/12.32 inference(quant_inst,[status(thm)],[])).
% 17.08/12.32 tff(33604,plain,
% 17.08/12.32 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | (~nextState(constB141, constB142)) | (v13(constB142) <=> v9(constB141))),
% 17.08/12.32 inference(modus_ponens,[status(thm)],[33603, 33602])).
% 17.08/12.32 tff(33605,plain,
% 17.08/12.32 (v13(constB142) <=> v9(constB141)),
% 17.08/12.32 inference(unit_resolution,[status(thm)],[33604, 13928, 216])).
% 17.08/12.32 tff(33606,plain,
% 17.08/12.32 ((~![VarNext: $i] : (v6(VarNext) <=> v13(VarNext))) | (v6(constB142) <=> v13(constB142))),
% 17.08/12.32 inference(quant_inst,[status(thm)],[])).
% 17.08/12.32 tff(33607,plain,
% 17.08/12.32 (v6(constB142) <=> v13(constB142)),
% 17.08/12.32 inference(unit_resolution,[status(thm)],[33606, 230])).
% 17.08/12.32 tff(33608,plain,
% 17.08/12.32 ((~![VarCurr: $i] : ((~v21(VarCurr)) <=> v6(VarCurr))) | ((~v21(constB142)) <=> v6(constB142))),
% 17.08/12.33 inference(quant_inst,[status(thm)],[])).
% 17.08/12.33 tff(33609,plain,
% 17.08/12.33 ((~v21(constB142)) <=> v6(constB142)),
% 17.08/12.33 inference(unit_resolution,[status(thm)],[33608, 239])).
% 17.08/12.33 tff(33610,plain,
% 17.08/12.33 ((~![VarCurr: $i] : (v19(VarCurr) <=> (v20(VarCurr) | v21(VarCurr)))) | (v19(constB142) <=> (v20(constB142) | v21(constB142)))),
% 17.08/12.33 inference(quant_inst,[status(thm)],[])).
% 17.08/12.33 tff(33611,plain,
% 17.08/12.33 (v19(constB142) <=> (v20(constB142) | v21(constB142))),
% 17.08/12.33 inference(unit_resolution,[status(thm)],[33610, 248])).
% 17.08/12.33 tff(33612,plain,
% 17.08/12.33 ((~![VarCurr: $i] : (v18(VarCurr) <=> (~((~v19(VarCurr)) | (~v22(VarCurr)))))) | (v18(constB142) <=> (~((~v19(constB142)) | (~v22(constB142)))))),
% 17.08/12.33 inference(quant_inst,[status(thm)],[])).
% 17.08/12.33 tff(33613,plain,
% 17.08/12.33 (v18(constB142) <=> (~((~v19(constB142)) | (~v22(constB142))))),
% 17.08/12.33 inference(unit_resolution,[status(thm)],[33612, 260])).
% 17.08/12.33 tff(33614,plain,
% 17.08/12.33 ((~![VarCurr: $i] : ((~v4(VarCurr)) <=> v18(VarCurr))) | ((~v4(constB142)) <=> v18(constB142))),
% 17.08/12.33 inference(quant_inst,[status(thm)],[])).
% 17.08/12.33 tff(33615,plain,
% 17.08/12.33 ((~v4(constB142)) <=> v18(constB142)),
% 17.08/12.33 inference(unit_resolution,[status(thm)],[33614, 269])).
% 17.08/12.33 tff(33616,plain,
% 17.08/12.33 ((~![VarCurr: $i] : v4(VarCurr)) | v4(constB142)),
% 17.08/12.33 inference(quant_inst,[status(thm)],[])).
% 17.08/12.33 tff(33617,plain,
% 17.08/12.33 (v4(constB142)),
% 17.08/12.33 inference(unit_resolution,[status(thm)],[33616, 278])).
% 17.08/12.33 tff(33618,plain,
% 17.08/12.33 ((~((~v4(constB142)) <=> v18(constB142))) | (~v4(constB142)) | (~v18(constB142))),
% 17.08/12.33 inference(tautology,[status(thm)],[])).
% 17.08/12.33 tff(33619,plain,
% 17.08/12.33 (~v18(constB142)),
% 17.08/12.33 inference(unit_resolution,[status(thm)],[33618, 33617, 33615])).
% 17.08/12.33 tff(33620,plain,
% 17.08/12.33 ((~(v18(constB142) <=> (~((~v19(constB142)) | (~v22(constB142)))))) | v18(constB142) | ((~v19(constB142)) | (~v22(constB142)))),
% 17.08/12.33 inference(tautology,[status(thm)],[])).
% 17.08/12.33 tff(33621,plain,
% 17.08/12.33 ((~v19(constB142)) | (~v22(constB142))),
% 17.08/12.33 inference(unit_resolution,[status(thm)],[33620, 33619, 33613])).
% 17.08/12.33 tff(33622,plain,
% 17.08/12.33 ((~![VarCurr: $i] : (v22(VarCurr) <=> (v1(VarCurr) | v6(VarCurr)))) | (v22(constB142) <=> (v1(constB142) | v6(constB142)))),
% 17.08/12.33 inference(quant_inst,[status(thm)],[])).
% 17.08/12.33 tff(33623,plain,
% 17.08/12.33 (v22(constB142) <=> (v1(constB142) | v6(constB142))),
% 17.08/12.33 inference(unit_resolution,[status(thm)],[33622, 291])).
% 17.08/12.33 tff(33624,plain,
% 17.08/12.33 ((v1(constB142) | v6(constB142)) | (~v1(constB142))),
% 17.08/12.33 inference(tautology,[status(thm)],[])).
% 17.08/12.33 tff(33625,plain,
% 17.08/12.33 (v1(constB142) | v6(constB142)),
% 17.08/12.33 inference(unit_resolution,[status(thm)],[33624, 13958])).
% 17.08/12.33 tff(33626,plain,
% 17.08/12.33 ((~(v22(constB142) <=> (v1(constB142) | v6(constB142)))) | v22(constB142) | (~(v1(constB142) | v6(constB142)))),
% 17.08/12.33 inference(tautology,[status(thm)],[])).
% 17.08/12.33 tff(33627,plain,
% 17.08/12.33 ((~(v22(constB142) <=> (v1(constB142) | v6(constB142)))) | v22(constB142)),
% 17.08/12.33 inference(unit_resolution,[status(thm)],[33626, 33625])).
% 17.08/12.33 tff(33628,plain,
% 17.08/12.33 (v22(constB142)),
% 17.08/12.33 inference(unit_resolution,[status(thm)],[33627, 33623])).
% 17.08/12.33 tff(33629,plain,
% 17.08/12.33 ((~((~v19(constB142)) | (~v22(constB142)))) | (~v19(constB142)) | (~v22(constB142))),
% 17.08/12.33 inference(tautology,[status(thm)],[])).
% 17.08/12.33 tff(33630,plain,
% 17.08/12.33 ((~((~v19(constB142)) | (~v22(constB142)))) | (~v19(constB142))),
% 17.08/12.33 inference(unit_resolution,[status(thm)],[33629, 33628])).
% 17.08/12.33 tff(33631,plain,
% 17.08/12.33 (~v19(constB142)),
% 17.08/12.33 inference(unit_resolution,[status(thm)],[33630, 33621])).
% 17.08/12.33 tff(33632,plain,
% 17.08/12.33 ((~(v19(constB142) <=> (v20(constB142) | v21(constB142)))) | v19(constB142) | (~(v20(constB142) | v21(constB142)))),
% 17.08/12.33 inference(tautology,[status(thm)],[])).
% 17.08/12.33 tff(33633,plain,
% 17.08/12.33 (~(v20(constB142) | v21(constB142))),
% 17.08/12.33 inference(unit_resolution,[status(thm)],[33632, 33631, 33611])).
% 17.08/12.33 tff(33634,plain,
% 17.08/12.33 ((v20(constB142) | v21(constB142)) | (~v21(constB142))),
% 17.08/12.33 inference(tautology,[status(thm)],[])).
% 17.08/12.33 tff(33635,plain,
% 17.08/12.33 (~v21(constB142)),
% 17.08/12.33 inference(unit_resolution,[status(thm)],[33634, 33633])).
% 17.08/12.33 tff(33636,plain,
% 17.08/12.33 ((~((~v21(constB142)) <=> v6(constB142))) | v21(constB142) | v6(constB142)),
% 17.08/12.33 inference(tautology,[status(thm)],[])).
% 17.08/12.33 tff(33637,plain,
% 17.08/12.33 (v6(constB142)),
% 17.08/12.33 inference(unit_resolution,[status(thm)],[33636, 33635, 33609])).
% 17.08/12.33 tff(33638,plain,
% 17.08/12.33 ((~(v6(constB142) <=> v13(constB142))) | (~v6(constB142)) | v13(constB142)),
% 17.08/12.33 inference(tautology,[status(thm)],[])).
% 17.08/12.33 tff(33639,plain,
% 17.08/12.33 (v13(constB142)),
% 17.08/12.33 inference(unit_resolution,[status(thm)],[33638, 33637, 33607])).
% 17.08/12.33 tff(33640,plain,
% 17.08/12.33 ((~(v13(constB142) <=> v9(constB141))) | (~v13(constB142)) | v9(constB141)),
% 17.08/12.33 inference(tautology,[status(thm)],[])).
% 17.08/12.33 tff(33641,plain,
% 17.08/12.33 (v9(constB141)),
% 17.08/12.33 inference(unit_resolution,[status(thm)],[33640, 33639, 33605])).
% 17.08/12.33 tff(33642,plain,
% 17.08/12.33 ((~![VarCurr: $i] : ((~v39(VarCurr)) <=> v1(VarCurr))) | ((~v39(constB141)) <=> v1(constB141))),
% 17.08/12.33 inference(quant_inst,[status(thm)],[])).
% 17.08/12.33 tff(33643,plain,
% 17.08/12.33 ((~v39(constB141)) <=> v1(constB141)),
% 17.08/12.33 inference(unit_resolution,[status(thm)],[33642, 129])).
% 17.08/12.33 tff(33644,plain,
% 17.08/12.33 ((~((~v39(constB141)) <=> v1(constB141))) | v39(constB141) | v1(constB141)),
% 17.08/12.33 inference(tautology,[status(thm)],[])).
% 17.08/12.33 tff(33645,plain,
% 17.08/12.33 ((~((~v39(constB141)) <=> v1(constB141))) | v39(constB141)),
% 17.08/12.33 inference(unit_resolution,[status(thm)],[33644, 13950])).
% 17.08/12.33 tff(33646,plain,
% 17.08/12.33 (v39(constB141)),
% 17.08/12.33 inference(unit_resolution,[status(thm)],[33645, 33643])).
% 17.08/12.33 tff(33647,plain,
% 17.08/12.33 ((~((~v39(constB141)) | (~v9(constB141)))) | (~v39(constB141)) | (~v9(constB141))),
% 17.08/12.33 inference(tautology,[status(thm)],[])).
% 17.08/12.33 tff(33648,plain,
% 17.08/12.33 ((~((~v39(constB141)) | (~v9(constB141)))) | (~v9(constB141))),
% 17.08/12.33 inference(unit_resolution,[status(thm)],[33647, 33646])).
% 17.08/12.33 tff(33649,plain,
% 17.08/12.33 (~((~v39(constB141)) | (~v9(constB141)))),
% 17.08/12.33 inference(unit_resolution,[status(thm)],[33648, 33641])).
% 17.08/12.33 tff(33650,plain,
% 17.08/12.33 ((~(v197(constB141) <=> (~((~v39(constB141)) | (~v9(constB141)))))) | v197(constB141) | ((~v39(constB141)) | (~v9(constB141)))),
% 17.08/12.33 inference(tautology,[status(thm)],[])).
% 17.08/12.33 tff(33651,plain,
% 17.08/12.33 (v197(constB141)),
% 17.08/12.33 inference(unit_resolution,[status(thm)],[33650, 33649, 33601])).
% 17.08/12.33 tff(33652,plain,
% 17.08/12.33 ((v197(constB141) | v26(constB141)) | (~v197(constB141))),
% 17.08/12.33 inference(tautology,[status(thm)],[])).
% 17.08/12.33 tff(33653,plain,
% 17.08/12.33 (v197(constB141) | v26(constB141)),
% 17.08/12.33 inference(unit_resolution,[status(thm)],[33652, 33651])).
% 17.08/12.33 tff(33654,plain,
% 17.08/12.33 ((~(v196(constB141) <=> (v197(constB141) | v26(constB141)))) | v196(constB141) | (~(v197(constB141) | v26(constB141)))),
% 17.08/12.33 inference(tautology,[status(thm)],[])).
% 17.08/12.33 tff(33655,plain,
% 17.08/12.33 (v196(constB141)),
% 17.08/12.33 inference(unit_resolution,[status(thm)],[33654, 33653, 33599])).
% 17.08/12.33 tff(33656,plain,
% 17.08/12.33 ((~((~v195(constB141)) <=> v196(constB141))) | (~v195(constB141)) | (~v196(constB141))),
% 17.08/12.33 inference(tautology,[status(thm)],[])).
% 17.08/12.33 tff(33657,plain,
% 17.08/12.33 (~v195(constB141)),
% 17.08/12.33 inference(unit_resolution,[status(thm)],[33656, 33655, 33597])).
% 17.08/12.33 tff(33658,plain,
% 17.08/12.33 (((~v157(constB141)) | (~v195(constB141))) | v195(constB141)),
% 17.08/12.33 inference(tautology,[status(thm)],[])).
% 17.08/12.33 tff(33659,plain,
% 17.08/12.33 ((~v157(constB141)) | (~v195(constB141))),
% 17.08/12.33 inference(unit_resolution,[status(thm)],[33658, 33657])).
% 17.08/12.33 tff(33660,plain,
% 17.08/12.33 ((~(v194(constB141) <=> (~((~v157(constB141)) | (~v195(constB141)))))) | (~v194(constB141)) | (~((~v157(constB141)) | (~v195(constB141))))),
% 17.08/12.33 inference(tautology,[status(thm)],[])).
% 17.08/12.33 tff(33661,plain,
% 17.08/12.33 (~v194(constB141)),
% 17.08/12.33 inference(unit_resolution,[status(thm)],[33660, 33659, 33595])).
% 17.08/12.33 tff(33662,plain,
% 17.08/12.33 ((~![VarCurr: $i] : (v198(VarCurr) <=> (~((~v199(VarCurr)) | (~v200(VarCurr)))))) | (v198(constB141) <=> (~((~v199(constB141)) | (~v200(constB141)))))),
% 17.08/12.33 inference(quant_inst,[status(thm)],[])).
% 17.08/12.33 tff(33663,plain,
% 17.08/12.33 (v198(constB141) <=> (~((~v199(constB141)) | (~v200(constB141))))),
% 17.08/12.33 inference(unit_resolution,[status(thm)],[33662, 96])).
% 17.08/12.33 tff(33664,plain,
% 17.08/12.33 ((~![VarCurr: $i] : (v200(VarCurr) <=> (~((~v197(VarCurr)) | (~v201(VarCurr)))))) | (v200(constB141) <=> (~((~v197(constB141)) | (~v201(constB141)))))),
% 17.08/12.33 inference(quant_inst,[status(thm)],[])).
% 17.08/12.33 tff(33665,plain,
% 17.08/12.33 (v200(constB141) <=> (~((~v197(constB141)) | (~v201(constB141))))),
% 17.08/12.33 inference(unit_resolution,[status(thm)],[33664, 108])).
% 17.08/12.33 tff(33666,plain,
% 17.08/12.33 ((~![VarCurr: $i] : (v201(VarCurr) <=> (~((~v159(VarCurr)) | (~v161(VarCurr)))))) | (v201(constB141) <=> (~((~v159(constB141)) | (~v161(constB141)))))),
% 17.08/12.33 inference(quant_inst,[status(thm)],[])).
% 17.08/12.33 tff(33667,plain,
% 17.08/12.33 (v201(constB141) <=> (~((~v159(constB141)) | (~v161(constB141))))),
% 17.08/12.33 inference(unit_resolution,[status(thm)],[33666, 348])).
% 17.08/12.33 tff(33668,plain,
% 17.08/12.33 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v179(VarNext) <=> v180(VarNext)))) | ((~nextState(constB140, constB141)) | (v179(constB141) <=> v180(constB141)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v179(VarNext) <=> v180(VarNext)))) | (~nextState(constB140, constB141)) | (v179(constB141) <=> v180(constB141)))),
% 17.08/12.33 inference(rewrite,[status(thm)],[])).
% 17.08/12.33 tff(33669,plain,
% 17.08/12.33 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v179(VarNext) <=> v180(VarNext)))) | ((~nextState(constB140, constB141)) | (v179(constB141) <=> v180(constB141)))),
% 17.08/12.33 inference(quant_inst,[status(thm)],[])).
% 17.08/12.33 tff(33670,plain,
% 17.08/12.33 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v179(VarNext) <=> v180(VarNext)))) | (~nextState(constB140, constB141)) | (v179(constB141) <=> v180(constB141))),
% 17.08/12.33 inference(modus_ponens,[status(thm)],[33669, 33668])).
% 17.08/12.33 tff(33671,plain,
% 17.08/12.33 (v179(constB141) <=> v180(constB141)),
% 17.08/12.33 inference(unit_resolution,[status(thm)],[33670, 13989, 13536])).
% 17.08/12.33 tff(33672,plain,
% 17.08/12.33 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> (~((~v181(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB140, constB141)) | (v180(constB141) <=> (~((~v1(constB141)) | (~v181(constB141))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> (~((~v181(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB140, constB141)) | (v180(constB141) <=> (~((~v1(constB141)) | (~v181(constB141))))))),
% 17.08/12.33 inference(rewrite,[status(thm)],[])).
% 17.08/12.33 tff(33673,plain,
% 17.08/12.33 (((~nextState(constB140, constB141)) | (v180(constB141) <=> (~((~v181(constB141)) | (~v1(constB141)))))) <=> ((~nextState(constB140, constB141)) | (v180(constB141) <=> (~((~v1(constB141)) | (~v181(constB141))))))),
% 17.08/12.33 inference(rewrite,[status(thm)],[])).
% 17.08/12.33 tff(33674,plain,
% 17.08/12.33 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> (~((~v181(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB140, constB141)) | (v180(constB141) <=> (~((~v181(constB141)) | (~v1(constB141))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> (~((~v181(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB140, constB141)) | (v180(constB141) <=> (~((~v1(constB141)) | (~v181(constB141)))))))),
% 17.08/12.33 inference(monotonicity,[status(thm)],[33673])).
% 17.08/12.33 tff(33675,plain,
% 17.08/12.33 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> (~((~v181(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB140, constB141)) | (v180(constB141) <=> (~((~v181(constB141)) | (~v1(constB141))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> (~((~v181(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB140, constB141)) | (v180(constB141) <=> (~((~v1(constB141)) | (~v181(constB141))))))),
% 17.08/12.33 inference(transitivity,[status(thm)],[33674, 33672])).
% 17.08/12.33 tff(33676,plain,
% 17.08/12.33 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> (~((~v181(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB140, constB141)) | (v180(constB141) <=> (~((~v181(constB141)) | (~v1(constB141))))))),
% 17.08/12.33 inference(quant_inst,[status(thm)],[])).
% 17.08/12.33 tff(33677,plain,
% 17.08/12.33 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> (~((~v181(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB140, constB141)) | (v180(constB141) <=> (~((~v1(constB141)) | (~v181(constB141)))))),
% 17.08/12.33 inference(modus_ponens,[status(thm)],[33676, 33675])).
% 17.08/12.33 tff(33678,plain,
% 17.08/12.33 (v180(constB141) <=> (~((~v1(constB141)) | (~v181(constB141))))),
% 17.08/12.33 inference(unit_resolution,[status(thm)],[33677, 13989, 13556])).
% 17.08/12.33 tff(33679,plain,
% 17.08/12.33 (((~v1(constB141)) | (~v181(constB141))) | v1(constB141)),
% 17.08/12.33 inference(tautology,[status(thm)],[])).
% 17.08/12.33 tff(33680,plain,
% 17.08/12.33 ((~v1(constB141)) | (~v181(constB141))),
% 17.08/12.33 inference(unit_resolution,[status(thm)],[33679, 13950])).
% 17.08/12.33 tff(33681,plain,
% 17.08/12.33 ((~(v180(constB141) <=> (~((~v1(constB141)) | (~v181(constB141)))))) | (~v180(constB141)) | (~((~v1(constB141)) | (~v181(constB141))))),
% 17.08/12.33 inference(tautology,[status(thm)],[])).
% 17.08/12.33 tff(33682,plain,
% 17.08/12.33 ((~(v180(constB141) <=> (~((~v1(constB141)) | (~v181(constB141)))))) | (~v180(constB141))),
% 17.08/12.33 inference(unit_resolution,[status(thm)],[33681, 33680])).
% 17.08/12.33 tff(33683,plain,
% 17.08/12.33 (~v180(constB141)),
% 17.08/12.33 inference(unit_resolution,[status(thm)],[33682, 33678])).
% 17.08/12.33 tff(33684,plain,
% 17.08/12.33 ((~(v179(constB141) <=> v180(constB141))) | (~v179(constB141)) | v180(constB141)),
% 17.08/12.33 inference(tautology,[status(thm)],[])).
% 17.08/12.33 tff(33685,plain,
% 17.08/12.33 (~v179(constB141)),
% 17.08/12.33 inference(unit_resolution,[status(thm)],[33684, 33683, 33671])).
% 17.08/12.33 tff(33686,plain,
% 17.08/12.33 (((~![VarCurr: $i, VarNext: $i] : ((v159(VarNext) <=> v159(VarCurr)) | v179(VarNext) | (~nextState(VarCurr, VarNext)))) | ((~nextState(constB140, constB141)) | v179(constB141) | (v159(constB141) <=> v159(constB140)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((v159(VarNext) <=> v159(VarCurr)) | v179(VarNext) | (~nextState(VarCurr, VarNext)))) | (~nextState(constB140, constB141)) | v179(constB141) | (v159(constB141) <=> v159(constB140)))),
% 17.08/12.33 inference(rewrite,[status(thm)],[])).
% 17.08/12.33 tff(33687,plain,
% 17.08/12.33 (((v159(constB141) <=> v159(constB140)) | v179(constB141) | (~nextState(constB140, constB141))) <=> ((~nextState(constB140, constB141)) | v179(constB141) | (v159(constB141) <=> v159(constB140)))),
% 17.08/12.33 inference(rewrite,[status(thm)],[])).
% 17.08/12.33 tff(33688,plain,
% 17.08/12.33 (((~![VarCurr: $i, VarNext: $i] : ((v159(VarNext) <=> v159(VarCurr)) | v179(VarNext) | (~nextState(VarCurr, VarNext)))) | ((v159(constB141) <=> v159(constB140)) | v179(constB141) | (~nextState(constB140, constB141)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((v159(VarNext) <=> v159(VarCurr)) | v179(VarNext) | (~nextState(VarCurr, VarNext)))) | ((~nextState(constB140, constB141)) | v179(constB141) | (v159(constB141) <=> v159(constB140))))),
% 17.08/12.33 inference(monotonicity,[status(thm)],[33687])).
% 17.08/12.33 tff(33689,plain,
% 17.08/12.33 (((~![VarCurr: $i, VarNext: $i] : ((v159(VarNext) <=> v159(VarCurr)) | v179(VarNext) | (~nextState(VarCurr, VarNext)))) | ((v159(constB141) <=> v159(constB140)) | v179(constB141) | (~nextState(constB140, constB141)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((v159(VarNext) <=> v159(VarCurr)) | v179(VarNext) | (~nextState(VarCurr, VarNext)))) | (~nextState(constB140, constB141)) | v179(constB141) | (v159(constB141) <=> v159(constB140)))),
% 17.08/12.33 inference(transitivity,[status(thm)],[33688, 33686])).
% 17.08/12.33 tff(33690,plain,
% 17.08/12.33 ((~![VarCurr: $i, VarNext: $i] : ((v159(VarNext) <=> v159(VarCurr)) | v179(VarNext) | (~nextState(VarCurr, VarNext)))) | ((v159(constB141) <=> v159(constB140)) | v179(constB141) | (~nextState(constB140, constB141)))),
% 17.08/12.33 inference(quant_inst,[status(thm)],[])).
% 17.08/12.33 tff(33691,plain,
% 17.08/12.33 ((~![VarCurr: $i, VarNext: $i] : ((v159(VarNext) <=> v159(VarCurr)) | v179(VarNext) | (~nextState(VarCurr, VarNext)))) | (~nextState(constB140, constB141)) | v179(constB141) | (v159(constB141) <=> v159(constB140))),
% 17.08/12.33 inference(modus_ponens,[status(thm)],[33690, 33689])).
% 17.08/12.33 tff(33692,plain,
% 17.08/12.33 (v179(constB141) | (v159(constB141) <=> v159(constB140))),
% 17.08/12.33 inference(unit_resolution,[status(thm)],[33691, 13989, 13580])).
% 17.08/12.33 tff(33693,plain,
% 17.08/12.33 (v159(constB141) <=> v159(constB140)),
% 17.08/12.33 inference(unit_resolution,[status(thm)],[33692, 33685])).
% 17.08/12.33 tff(33694,plain,
% 17.08/12.33 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v179(VarNext) <=> v180(VarNext)))) | ((~nextState(constB139, constB140)) | (v179(constB140) <=> v180(constB140)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v179(VarNext) <=> v180(VarNext)))) | (~nextState(constB139, constB140)) | (v179(constB140) <=> v180(constB140)))),
% 17.08/12.33 inference(rewrite,[status(thm)],[])).
% 17.08/12.33 tff(33695,plain,
% 17.08/12.33 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v179(VarNext) <=> v180(VarNext)))) | ((~nextState(constB139, constB140)) | (v179(constB140) <=> v180(constB140)))),
% 17.08/12.33 inference(quant_inst,[status(thm)],[])).
% 17.08/12.33 tff(33696,plain,
% 17.08/12.33 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v179(VarNext) <=> v180(VarNext)))) | (~nextState(constB139, constB140)) | (v179(constB140) <=> v180(constB140))),
% 17.08/12.33 inference(modus_ponens,[status(thm)],[33695, 33694])).
% 17.08/12.33 tff(33697,plain,
% 17.08/12.33 (v179(constB140) <=> v180(constB140)),
% 17.08/12.33 inference(unit_resolution,[status(thm)],[33696, 14021, 13536])).
% 17.08/12.33 tff(33698,plain,
% 17.08/12.33 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> (~((~v181(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB139, constB140)) | (v180(constB140) <=> (~((~v1(constB140)) | (~v181(constB140))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> (~((~v181(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB139, constB140)) | (v180(constB140) <=> (~((~v1(constB140)) | (~v181(constB140))))))),
% 17.08/12.33 inference(rewrite,[status(thm)],[])).
% 17.08/12.33 tff(33699,plain,
% 17.08/12.33 (((~nextState(constB139, constB140)) | (v180(constB140) <=> (~((~v181(constB140)) | (~v1(constB140)))))) <=> ((~nextState(constB139, constB140)) | (v180(constB140) <=> (~((~v1(constB140)) | (~v181(constB140))))))),
% 17.08/12.33 inference(rewrite,[status(thm)],[])).
% 17.08/12.33 tff(33700,plain,
% 17.08/12.33 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> (~((~v181(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB139, constB140)) | (v180(constB140) <=> (~((~v181(constB140)) | (~v1(constB140))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> (~((~v181(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB139, constB140)) | (v180(constB140) <=> (~((~v1(constB140)) | (~v181(constB140)))))))),
% 17.08/12.33 inference(monotonicity,[status(thm)],[33699])).
% 17.08/12.33 tff(33701,plain,
% 17.08/12.34 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> (~((~v181(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB139, constB140)) | (v180(constB140) <=> (~((~v181(constB140)) | (~v1(constB140))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> (~((~v181(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB139, constB140)) | (v180(constB140) <=> (~((~v1(constB140)) | (~v181(constB140))))))),
% 17.08/12.34 inference(transitivity,[status(thm)],[33700, 33698])).
% 17.08/12.34 tff(33702,plain,
% 17.08/12.34 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> (~((~v181(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB139, constB140)) | (v180(constB140) <=> (~((~v181(constB140)) | (~v1(constB140))))))),
% 17.08/12.34 inference(quant_inst,[status(thm)],[])).
% 17.08/12.34 tff(33703,plain,
% 17.08/12.34 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> (~((~v181(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB139, constB140)) | (v180(constB140) <=> (~((~v1(constB140)) | (~v181(constB140)))))),
% 17.08/12.34 inference(modus_ponens,[status(thm)],[33702, 33701])).
% 17.08/12.34 tff(33704,plain,
% 17.08/12.34 (v180(constB140) <=> (~((~v1(constB140)) | (~v181(constB140))))),
% 17.08/12.34 inference(unit_resolution,[status(thm)],[33703, 14021, 13556])).
% 17.08/12.34 tff(33705,plain,
% 17.08/12.34 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v181(VarNext)) <=> v104(VarNext)))) | ((~nextState(constB139, constB140)) | ((~v181(constB140)) <=> v104(constB140)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v181(VarNext)) <=> v104(VarNext)))) | (~nextState(constB139, constB140)) | ((~v181(constB140)) <=> v104(constB140)))),
% 17.08/12.34 inference(rewrite,[status(thm)],[])).
% 17.08/12.34 tff(33706,plain,
% 17.08/12.34 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v181(VarNext)) <=> v104(VarNext)))) | ((~nextState(constB139, constB140)) | ((~v181(constB140)) <=> v104(constB140)))),
% 17.08/12.34 inference(quant_inst,[status(thm)],[])).
% 17.08/12.34 tff(33707,plain,
% 17.08/12.34 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v181(VarNext)) <=> v104(VarNext)))) | (~nextState(constB139, constB140)) | ((~v181(constB140)) <=> v104(constB140))),
% 17.08/12.34 inference(modus_ponens,[status(thm)],[33706, 33705])).
% 17.08/12.34 tff(33708,plain,
% 17.08/12.34 ((~v181(constB140)) <=> v104(constB140)),
% 17.08/12.34 inference(unit_resolution,[status(thm)],[33707, 14021, 13612])).
% 17.08/12.34 tff(33709,plain,
% 17.08/12.34 ((~((~v181(constB140)) <=> v104(constB140))) | v181(constB140) | v104(constB140)),
% 17.08/12.34 inference(tautology,[status(thm)],[])).
% 17.08/12.34 tff(33710,plain,
% 17.08/12.34 (v181(constB140)),
% 17.08/12.34 inference(unit_resolution,[status(thm)],[33709, 14046, 33708])).
% 17.08/12.34 tff(33711,plain,
% 17.08/12.34 ((~((~v1(constB140)) | (~v181(constB140)))) | (~v1(constB140)) | (~v181(constB140))),
% 17.08/12.34 inference(tautology,[status(thm)],[])).
% 17.08/12.34 tff(33712,plain,
% 17.08/12.34 ((~((~v1(constB140)) | (~v181(constB140)))) | (~v181(constB140))),
% 17.08/12.34 inference(unit_resolution,[status(thm)],[33711, 14051])).
% 17.08/12.34 tff(33713,plain,
% 17.08/12.34 (~((~v1(constB140)) | (~v181(constB140)))),
% 17.08/12.34 inference(unit_resolution,[status(thm)],[33712, 33710])).
% 17.08/12.34 tff(33714,plain,
% 17.08/12.34 ((~(v180(constB140) <=> (~((~v1(constB140)) | (~v181(constB140)))))) | v180(constB140) | ((~v1(constB140)) | (~v181(constB140)))),
% 17.08/12.34 inference(tautology,[status(thm)],[])).
% 17.08/12.34 tff(33715,plain,
% 17.08/12.34 (v180(constB140)),
% 17.08/12.34 inference(unit_resolution,[status(thm)],[33714, 33713, 33704])).
% 17.08/12.34 tff(33716,plain,
% 17.08/12.34 ((~(v179(constB140) <=> v180(constB140))) | v179(constB140) | (~v180(constB140))),
% 17.08/12.34 inference(tautology,[status(thm)],[])).
% 17.08/12.34 tff(33717,plain,
% 17.08/12.34 (v179(constB140)),
% 17.08/12.34 inference(unit_resolution,[status(thm)],[33716, 33715, 33697])).
% 17.08/12.34 tff(33718,plain,
% 17.08/12.34 (((~![VarNext: $i] : ((~v179(VarNext)) | (v159(VarNext) <=> v186(VarNext)))) | ((~v179(constB140)) | (v159(constB140) <=> v186(constB140)))) <=> ((~![VarNext: $i] : ((~v179(VarNext)) | (v159(VarNext) <=> v186(VarNext)))) | (~v179(constB140)) | (v159(constB140) <=> v186(constB140)))),
% 17.08/12.34 inference(rewrite,[status(thm)],[])).
% 17.08/12.34 tff(33719,plain,
% 17.08/12.34 ((~![VarNext: $i] : ((~v179(VarNext)) | (v159(VarNext) <=> v186(VarNext)))) | ((~v179(constB140)) | (v159(constB140) <=> v186(constB140)))),
% 17.08/12.34 inference(quant_inst,[status(thm)],[])).
% 17.08/12.34 tff(33720,plain,
% 17.08/12.34 ((~![VarNext: $i] : ((~v179(VarNext)) | (v159(VarNext) <=> v186(VarNext)))) | (~v179(constB140)) | (v159(constB140) <=> v186(constB140))),
% 17.08/12.34 inference(modus_ponens,[status(thm)],[33719, 33718])).
% 17.08/12.34 tff(33721,plain,
% 17.08/12.34 (v159(constB140) <=> v186(constB140)),
% 17.08/12.34 inference(unit_resolution,[status(thm)],[33720, 13648, 33717])).
% 17.08/12.34 tff(33722,plain,
% 17.08/12.34 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v186(VarNext) <=> v161(VarCurr)))) | ((~nextState(constB139, constB140)) | (v186(constB140) <=> v161(constB139)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v186(VarNext) <=> v161(VarCurr)))) | (~nextState(constB139, constB140)) | (v186(constB140) <=> v161(constB139)))),
% 17.08/12.34 inference(rewrite,[status(thm)],[])).
% 17.08/12.34 tff(33723,plain,
% 17.08/12.34 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v186(VarNext) <=> v161(VarCurr)))) | ((~nextState(constB139, constB140)) | (v186(constB140) <=> v161(constB139)))),
% 17.08/12.34 inference(quant_inst,[status(thm)],[])).
% 17.08/12.34 tff(33724,plain,
% 17.08/12.34 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v186(VarNext) <=> v161(VarCurr)))) | (~nextState(constB139, constB140)) | (v186(constB140) <=> v161(constB139))),
% 17.08/12.34 inference(modus_ponens,[status(thm)],[33723, 33722])).
% 17.08/12.34 tff(33725,plain,
% 17.08/12.34 (v186(constB140) <=> v161(constB139)),
% 17.08/12.34 inference(unit_resolution,[status(thm)],[33724, 14021, 13662])).
% 17.08/12.34 tff(33726,plain,
% 17.08/12.34 ((~![VarCurr: $i] : (v161(VarCurr) <=> v163(VarCurr))) | (v161(constB139) <=> v163(constB139))),
% 17.08/12.34 inference(quant_inst,[status(thm)],[])).
% 17.08/12.34 tff(33727,plain,
% 17.08/12.34 (v161(constB139) <=> v163(constB139)),
% 17.08/12.34 inference(unit_resolution,[status(thm)],[33726, 357])).
% 17.08/12.34 tff(33728,plain,
% 17.08/12.34 ((~![VarCurr: $i] : (v171(VarCurr) <=> (v142(VarCurr) | v150(VarCurr)))) | (v171(constB139) <=> (v142(constB139) | v150(constB139)))),
% 17.08/12.34 inference(quant_inst,[status(thm)],[])).
% 17.08/12.34 tff(33729,plain,
% 17.08/12.34 (v171(constB139) <=> (v142(constB139) | v150(constB139))),
% 17.08/12.34 inference(unit_resolution,[status(thm)],[33728, 369])).
% 17.08/12.34 tff(33730,plain,
% 17.08/12.34 ((v142(constB139) | v150(constB139)) | (~v142(constB139))),
% 17.08/12.34 inference(tautology,[status(thm)],[])).
% 17.08/12.34 tff(33731,plain,
% 17.08/12.34 (v142(constB139) | v150(constB139)),
% 17.08/12.34 inference(unit_resolution,[status(thm)],[33730, 28282])).
% 17.08/12.34 tff(33732,plain,
% 17.08/12.34 ((~(v171(constB139) <=> (v142(constB139) | v150(constB139)))) | v171(constB139) | (~(v142(constB139) | v150(constB139)))),
% 17.08/12.34 inference(tautology,[status(thm)],[])).
% 17.08/12.34 tff(33733,plain,
% 17.08/12.34 (v171(constB139)),
% 17.08/12.34 inference(unit_resolution,[status(thm)],[33732, 33731, 33729])).
% 17.08/12.34 tff(33734,plain,
% 17.08/12.34 (((~![VarCurr: $i] : ((~v171(VarCurr)) | (~v170(VarCurr)))) | ((~v170(constB139)) | (~v171(constB139)))) <=> ((~![VarCurr: $i] : ((~v171(VarCurr)) | (~v170(VarCurr)))) | (~v170(constB139)) | (~v171(constB139)))),
% 17.08/12.34 inference(rewrite,[status(thm)],[])).
% 17.08/12.34 tff(33735,plain,
% 17.08/12.34 (((~v171(constB139)) | (~v170(constB139))) <=> ((~v170(constB139)) | (~v171(constB139)))),
% 17.08/12.34 inference(rewrite,[status(thm)],[])).
% 17.08/12.34 tff(33736,plain,
% 17.08/12.34 (((~![VarCurr: $i] : ((~v171(VarCurr)) | (~v170(VarCurr)))) | ((~v171(constB139)) | (~v170(constB139)))) <=> ((~![VarCurr: $i] : ((~v171(VarCurr)) | (~v170(VarCurr)))) | ((~v170(constB139)) | (~v171(constB139))))),
% 17.08/12.34 inference(monotonicity,[status(thm)],[33735])).
% 17.08/12.34 tff(33737,plain,
% 17.08/12.34 (((~![VarCurr: $i] : ((~v171(VarCurr)) | (~v170(VarCurr)))) | ((~v171(constB139)) | (~v170(constB139)))) <=> ((~![VarCurr: $i] : ((~v171(VarCurr)) | (~v170(VarCurr)))) | (~v170(constB139)) | (~v171(constB139)))),
% 17.08/12.34 inference(transitivity,[status(thm)],[33736, 33734])).
% 17.08/12.34 tff(33738,plain,
% 17.08/12.34 ((~![VarCurr: $i] : ((~v171(VarCurr)) | (~v170(VarCurr)))) | ((~v171(constB139)) | (~v170(constB139)))),
% 17.08/12.34 inference(quant_inst,[status(thm)],[])).
% 17.08/12.34 tff(33739,plain,
% 17.08/12.34 ((~![VarCurr: $i] : ((~v171(VarCurr)) | (~v170(VarCurr)))) | (~v170(constB139)) | (~v171(constB139))),
% 17.08/12.34 inference(modus_ponens,[status(thm)],[33738, 33737])).
% 17.08/12.34 tff(33740,plain,
% 17.08/12.34 ((~v170(constB139)) | (~v171(constB139))),
% 17.08/12.34 inference(unit_resolution,[status(thm)],[33739, 13061])).
% 17.08/12.34 tff(33741,plain,
% 17.08/12.34 (~v170(constB139)),
% 17.08/12.34 inference(unit_resolution,[status(thm)],[33740, 33733])).
% 17.08/12.34 tff(33742,plain,
% 17.08/12.34 ((~![VarCurr: $i] : (v166(VarCurr) <=> (v145(VarCurr) | v167(VarCurr)))) | (v166(constB139) <=> (v145(constB139) | v167(constB139)))),
% 17.08/12.34 inference(quant_inst,[status(thm)],[])).
% 17.08/12.34 tff(33743,plain,
% 17.08/12.34 (v166(constB139) <=> (v145(constB139) | v167(constB139))),
% 17.08/12.34 inference(unit_resolution,[status(thm)],[33742, 13079])).
% 17.08/12.34 tff(33744,plain,
% 17.08/12.34 ((~![VarCurr: $i] : (v167(VarCurr) <=> (v142(VarCurr) | v168(VarCurr)))) | (v167(constB139) <=> (v142(constB139) | v168(constB139)))),
% 17.08/12.34 inference(quant_inst,[status(thm)],[])).
% 17.08/12.34 tff(33745,plain,
% 17.08/12.34 (v167(constB139) <=> (v142(constB139) | v168(constB139))),
% 17.08/12.34 inference(unit_resolution,[status(thm)],[33744, 13091])).
% 17.08/12.34 tff(33746,plain,
% 17.08/12.34 ((v142(constB139) | v168(constB139)) | (~v142(constB139))),
% 17.08/12.34 inference(tautology,[status(thm)],[])).
% 17.08/12.34 tff(33747,plain,
% 17.08/12.34 (v142(constB139) | v168(constB139)),
% 17.08/12.34 inference(unit_resolution,[status(thm)],[33746, 28282])).
% 17.08/12.34 tff(33748,plain,
% 17.08/12.34 ((~(v167(constB139) <=> (v142(constB139) | v168(constB139)))) | v167(constB139) | (~(v142(constB139) | v168(constB139)))),
% 17.08/12.34 inference(tautology,[status(thm)],[])).
% 17.08/12.34 tff(33749,plain,
% 17.08/12.34 (v167(constB139)),
% 17.08/12.34 inference(unit_resolution,[status(thm)],[33748, 33747, 33745])).
% 17.08/12.34 tff(33750,plain,
% 17.08/12.34 ((v145(constB139) | v167(constB139)) | (~v167(constB139))),
% 17.08/12.34 inference(tautology,[status(thm)],[])).
% 17.08/12.34 tff(33751,plain,
% 17.08/12.34 (v145(constB139) | v167(constB139)),
% 17.08/12.34 inference(unit_resolution,[status(thm)],[33750, 33749])).
% 17.08/12.34 tff(33752,plain,
% 17.08/12.34 ((~(v166(constB139) <=> (v145(constB139) | v167(constB139)))) | v166(constB139) | (~(v145(constB139) | v167(constB139)))),
% 17.08/12.34 inference(tautology,[status(thm)],[])).
% 17.08/12.34 tff(33753,plain,
% 17.08/12.34 (v166(constB139)),
% 17.08/12.34 inference(unit_resolution,[status(thm)],[33752, 33751, 33743])).
% 17.08/12.34 tff(33754,plain,
% 17.08/12.34 (((~![VarNext: $i] : ((~v166(VarNext)) | (v163(VarNext) <=> v170(VarNext)))) | ((~v166(constB139)) | (v163(constB139) <=> v170(constB139)))) <=> ((~![VarNext: $i] : ((~v166(VarNext)) | (v163(VarNext) <=> v170(VarNext)))) | (~v166(constB139)) | (v163(constB139) <=> v170(constB139)))),
% 17.08/12.34 inference(rewrite,[status(thm)],[])).
% 17.08/12.34 tff(33755,plain,
% 17.08/12.34 ((~![VarNext: $i] : ((~v166(VarNext)) | (v163(VarNext) <=> v170(VarNext)))) | ((~v166(constB139)) | (v163(constB139) <=> v170(constB139)))),
% 17.08/12.34 inference(quant_inst,[status(thm)],[])).
% 17.08/12.34 tff(33756,plain,
% 17.08/12.34 ((~![VarNext: $i] : ((~v166(VarNext)) | (v163(VarNext) <=> v170(VarNext)))) | (~v166(constB139)) | (v163(constB139) <=> v170(constB139))),
% 17.08/12.34 inference(modus_ponens,[status(thm)],[33755, 33754])).
% 17.08/12.34 tff(33757,plain,
% 17.08/12.34 ((~v166(constB139)) | (v163(constB139) <=> v170(constB139))),
% 17.08/12.34 inference(unit_resolution,[status(thm)],[33756, 13111])).
% 17.08/12.34 tff(33758,plain,
% 17.08/12.34 (v163(constB139) <=> v170(constB139)),
% 17.08/12.34 inference(unit_resolution,[status(thm)],[33757, 33753])).
% 17.08/12.34 tff(33759,plain,
% 17.08/12.34 ((~(v163(constB139) <=> v170(constB139))) | (~v163(constB139)) | v170(constB139)),
% 17.08/12.34 inference(tautology,[status(thm)],[])).
% 17.08/12.34 tff(33760,plain,
% 17.08/12.34 (~v163(constB139)),
% 17.08/12.34 inference(unit_resolution,[status(thm)],[33759, 33758, 33741])).
% 17.08/12.34 tff(33761,plain,
% 17.08/12.34 ((~(v161(constB139) <=> v163(constB139))) | (~v161(constB139)) | v163(constB139)),
% 17.08/12.34 inference(tautology,[status(thm)],[])).
% 17.08/12.34 tff(33762,plain,
% 17.08/12.34 (~v161(constB139)),
% 17.08/12.34 inference(unit_resolution,[status(thm)],[33761, 33760, 33727])).
% 17.08/12.34 tff(33763,plain,
% 17.08/12.34 ((~(v186(constB140) <=> v161(constB139))) | (~v186(constB140)) | v161(constB139)),
% 17.08/12.34 inference(tautology,[status(thm)],[])).
% 17.08/12.34 tff(33764,plain,
% 17.08/12.34 (~v186(constB140)),
% 17.08/12.34 inference(unit_resolution,[status(thm)],[33763, 33762, 33725])).
% 17.08/12.34 tff(33765,plain,
% 17.08/12.34 ((~(v159(constB140) <=> v186(constB140))) | (~v159(constB140)) | v186(constB140)),
% 17.08/12.34 inference(tautology,[status(thm)],[])).
% 17.08/12.34 tff(33766,plain,
% 17.08/12.34 (~v159(constB140)),
% 17.08/12.34 inference(unit_resolution,[status(thm)],[33765, 33764, 33721])).
% 17.08/12.34 tff(33767,plain,
% 17.08/12.34 ((~(v159(constB141) <=> v159(constB140))) | (~v159(constB141)) | v159(constB140)),
% 17.08/12.34 inference(tautology,[status(thm)],[])).
% 17.08/12.34 tff(33768,plain,
% 17.08/12.34 (~v159(constB141)),
% 17.08/12.34 inference(unit_resolution,[status(thm)],[33767, 33766, 33693])).
% 17.08/12.34 tff(33769,plain,
% 17.08/12.34 (((~v159(constB141)) | (~v161(constB141))) | v159(constB141)),
% 17.08/12.34 inference(tautology,[status(thm)],[])).
% 17.08/12.34 tff(33770,plain,
% 17.08/12.34 ((~v159(constB141)) | (~v161(constB141))),
% 17.08/12.34 inference(unit_resolution,[status(thm)],[33769, 33768])).
% 17.08/12.34 tff(33771,plain,
% 17.08/12.34 ((~(v201(constB141) <=> (~((~v159(constB141)) | (~v161(constB141)))))) | (~v201(constB141)) | (~((~v159(constB141)) | (~v161(constB141))))),
% 17.08/12.34 inference(tautology,[status(thm)],[])).
% 17.08/12.34 tff(33772,plain,
% 17.08/12.34 (~v201(constB141)),
% 17.08/12.34 inference(unit_resolution,[status(thm)],[33771, 33770, 33667])).
% 17.08/12.34 tff(33773,plain,
% 17.08/12.34 (((~v197(constB141)) | (~v201(constB141))) | v201(constB141)),
% 17.08/12.34 inference(tautology,[status(thm)],[])).
% 17.08/12.34 tff(33774,plain,
% 17.08/12.34 ((~v197(constB141)) | (~v201(constB141))),
% 17.08/12.34 inference(unit_resolution,[status(thm)],[33773, 33772])).
% 17.08/12.34 tff(33775,plain,
% 17.08/12.34 ((~(v200(constB141) <=> (~((~v197(constB141)) | (~v201(constB141)))))) | (~v200(constB141)) | (~((~v197(constB141)) | (~v201(constB141))))),
% 17.08/12.34 inference(tautology,[status(thm)],[])).
% 17.08/12.34 tff(33776,plain,
% 17.08/12.34 (~v200(constB141)),
% 17.08/12.34 inference(unit_resolution,[status(thm)],[33775, 33774, 33665])).
% 17.08/12.34 tff(33777,plain,
% 17.08/12.34 (((~v199(constB141)) | (~v200(constB141))) | v200(constB141)),
% 17.08/12.34 inference(tautology,[status(thm)],[])).
% 17.08/12.34 tff(33778,plain,
% 17.08/12.34 ((~v199(constB141)) | (~v200(constB141))),
% 17.08/12.34 inference(unit_resolution,[status(thm)],[33777, 33776])).
% 17.08/12.34 tff(33779,plain,
% 17.08/12.34 ((~(v198(constB141) <=> (~((~v199(constB141)) | (~v200(constB141)))))) | (~v198(constB141)) | (~((~v199(constB141)) | (~v200(constB141))))),
% 17.08/12.34 inference(tautology,[status(thm)],[])).
% 17.08/12.34 tff(33780,plain,
% 17.08/12.34 (~v198(constB141)),
% 17.08/12.34 inference(unit_resolution,[status(thm)],[33779, 33778, 33663])).
% 17.08/12.34 tff(33781,plain,
% 17.08/12.34 ((~(v194(constB141) | v198(constB141))) | v194(constB141) | v198(constB141)),
% 17.08/12.34 inference(tautology,[status(thm)],[])).
% 17.08/12.34 tff(33782,plain,
% 17.08/12.34 (~(v194(constB141) | v198(constB141))),
% 17.08/12.34 inference(unit_resolution,[status(thm)],[33781, 33780, 33661])).
% 17.08/12.34 tff(33783,plain,
% 17.08/12.34 ((~(v191(constB141) <=> (v194(constB141) | v198(constB141)))) | (~v191(constB141)) | (v194(constB141) | v198(constB141))),
% 17.08/12.34 inference(tautology,[status(thm)],[])).
% 17.08/12.34 tff(33784,plain,
% 17.08/12.34 (~v191(constB141)),
% 17.08/12.34 inference(unit_resolution,[status(thm)],[33783, 33782, 33588])).
% 17.08/12.34 tff(33785,plain,
% 17.08/12.34 ((~(v193(constB142) <=> v191(constB141))) | (~v193(constB142)) | v191(constB141)),
% 17.08/12.34 inference(tautology,[status(thm)],[])).
% 17.08/12.34 tff(33786,plain,
% 17.08/12.34 (~v193(constB142)),
% 17.08/12.34 inference(unit_resolution,[status(thm)],[33785, 33784, 33586])).
% 17.08/12.34 tff(33787,plain,
% 17.08/12.34 ((~(v157(constB142) <=> v193(constB142))) | (~v157(constB142)) | v193(constB142)),
% 17.08/12.34 inference(tautology,[status(thm)],[])).
% 17.08/12.34 tff(33788,plain,
% 17.08/12.34 (~v157(constB142)),
% 17.08/12.34 inference(unit_resolution,[status(thm)],[33787, 33786, 33582])).
% 17.08/12.34 tff(33789,plain,
% 17.08/12.34 (((~v157(constB142)) | (~v195(constB142))) | v157(constB142)),
% 17.08/12.34 inference(tautology,[status(thm)],[])).
% 17.08/12.34 tff(33790,plain,
% 17.08/12.34 ((~v157(constB142)) | (~v195(constB142))),
% 17.08/12.34 inference(unit_resolution,[status(thm)],[33789, 33788])).
% 17.08/12.34 tff(33791,plain,
% 17.08/12.34 ((~(v194(constB142) <=> (~((~v157(constB142)) | (~v195(constB142)))))) | (~v194(constB142)) | (~((~v157(constB142)) | (~v195(constB142))))),
% 17.08/12.34 inference(tautology,[status(thm)],[])).
% 17.08/12.34 tff(33792,plain,
% 17.08/12.34 (~v194(constB142)),
% 17.08/12.34 inference(unit_resolution,[status(thm)],[33791, 33790, 33580])).
% 17.08/12.34 tff(33793,plain,
% 17.08/12.34 ((~(v194(constB142) | v198(constB142))) | v194(constB142) | v198(constB142)),
% 17.08/12.34 inference(tautology,[status(thm)],[])).
% 17.08/12.34 tff(33794,plain,
% 17.08/12.34 (~(v194(constB142) | v198(constB142))),
% 17.08/12.34 inference(unit_resolution,[status(thm)],[33793, 33792, 33573])).
% 17.08/12.34 tff(33795,plain,
% 17.08/12.34 ((~(v191(constB142) <=> (v194(constB142) | v198(constB142)))) | (~v191(constB142)) | (v194(constB142) | v198(constB142))),
% 17.08/12.34 inference(tautology,[status(thm)],[])).
% 17.08/12.34 tff(33796,plain,
% 17.08/12.34 (~v191(constB142)),
% 17.08/12.34 inference(unit_resolution,[status(thm)],[33795, 33794, 33548])).
% 17.08/12.34 tff(33797,plain,
% 17.08/12.34 ((~(v193(constB143) <=> v191(constB142))) | (~v193(constB143)) | v191(constB142)),
% 17.08/12.34 inference(tautology,[status(thm)],[])).
% 17.08/12.34 tff(33798,plain,
% 17.08/12.34 (~v193(constB143)),
% 17.08/12.34 inference(unit_resolution,[status(thm)],[33797, 33796, 33546])).
% 17.08/12.34 tff(33799,plain,
% 17.08/12.34 ($false),
% 17.08/12.34 inference(unit_resolution,[status(thm)],[33798, 33542])).
% 17.08/12.34 tff(33800,plain,(~(constB143 = VarCurr!0)), inference(lemma,lemma(discharge,[]))).
% 17.08/12.34 tff(33801,assumption,(constB145 = VarCurr!0), introduced(assumption)).
% 17.08/12.34 tff(33802,plain,
% 17.08/12.34 (v86(constB145) <=> v86(VarCurr!0)),
% 17.08/12.34 inference(monotonicity,[status(thm)],[33801])).
% 17.08/12.34 tff(33803,plain,
% 17.08/12.34 (v86(VarCurr!0) <=> v86(constB145)),
% 17.08/12.34 inference(symmetry,[status(thm)],[33802])).
% 17.08/12.34 tff(33804,plain,
% 17.08/12.34 ((~v86(VarCurr!0)) <=> (~v86(constB145))),
% 17.08/12.34 inference(monotonicity,[status(thm)],[33803])).
% 17.08/12.34 tff(33805,plain,
% 17.08/12.34 (~v86(constB145)),
% 17.08/12.34 inference(modus_ponens,[status(thm)],[20649, 33804])).
% 17.08/12.34 tff(33806,plain,
% 17.08/12.34 (((~![VarCurr: $i] : (v148(VarCurr) | (~v142(VarCurr)))) | (v148(constB145) | (~v142(constB145)))) <=> ((~![VarCurr: $i] : (v148(VarCurr) | (~v142(VarCurr)))) | v148(constB145) | (~v142(constB145)))),
% 17.08/12.34 inference(rewrite,[status(thm)],[])).
% 17.08/12.34 tff(33807,plain,
% 17.08/12.34 ((~![VarCurr: $i] : (v148(VarCurr) | (~v142(VarCurr)))) | (v148(constB145) | (~v142(constB145)))),
% 17.08/12.34 inference(quant_inst,[status(thm)],[])).
% 17.08/12.34 tff(33808,plain,
% 17.08/12.34 ((~![VarCurr: $i] : (v148(VarCurr) | (~v142(VarCurr)))) | v148(constB145) | (~v142(constB145))),
% 17.08/12.34 inference(modus_ponens,[status(thm)],[33807, 33806])).
% 17.08/12.34 tff(33809,plain,
% 17.08/12.34 (v148(constB145) | (~v142(constB145))),
% 17.08/12.34 inference(unit_resolution,[status(thm)],[33808, 23525])).
% 17.08/12.34 tff(33810,plain,
% 17.08/12.34 (v148(constB145)),
% 17.08/12.34 inference(unit_resolution,[status(thm)],[33809, 29552])).
% 17.08/12.34 tff(33811,plain,
% 17.08/12.34 ((~![VarCurr: $i] : (v135(VarCurr) <=> (v136(VarCurr) | v145(VarCurr)))) | (v135(constB145) <=> (v136(constB145) | v145(constB145)))),
% 17.08/12.34 inference(quant_inst,[status(thm)],[])).
% 17.08/12.34 tff(33812,plain,
% 17.08/12.34 (v135(constB145) <=> (v136(constB145) | v145(constB145))),
% 17.08/12.34 inference(unit_resolution,[status(thm)],[33811, 23537])).
% 17.08/12.34 tff(33813,plain,
% 17.08/12.34 ((~![VarCurr: $i] : (v136(VarCurr) <=> (v137(VarCurr) | v142(VarCurr)))) | (v136(constB145) <=> (v137(constB145) | v142(constB145)))),
% 17.08/12.34 inference(quant_inst,[status(thm)],[])).
% 17.08/12.34 tff(33814,plain,
% 17.08/12.34 (v136(constB145) <=> (v137(constB145) | v142(constB145))),
% 17.08/12.34 inference(unit_resolution,[status(thm)],[33813, 23546])).
% 17.08/12.34 tff(33815,plain,
% 17.08/12.34 ((v137(constB145) | v142(constB145)) | (~v142(constB145))),
% 17.08/12.34 inference(tautology,[status(thm)],[])).
% 17.08/12.34 tff(33816,plain,
% 17.08/12.34 (v137(constB145) | v142(constB145)),
% 17.08/12.34 inference(unit_resolution,[status(thm)],[33815, 29552])).
% 17.08/12.34 tff(33817,plain,
% 17.08/12.34 ((~(v136(constB145) <=> (v137(constB145) | v142(constB145)))) | v136(constB145) | (~(v137(constB145) | v142(constB145)))),
% 17.08/12.34 inference(tautology,[status(thm)],[])).
% 17.08/12.34 tff(33818,plain,
% 17.08/12.34 (v136(constB145)),
% 17.08/12.34 inference(unit_resolution,[status(thm)],[33817, 33816, 33814])).
% 17.08/12.34 tff(33819,plain,
% 17.08/12.34 ((v136(constB145) | v145(constB145)) | (~v136(constB145))),
% 17.08/12.34 inference(tautology,[status(thm)],[])).
% 17.08/12.34 tff(33820,plain,
% 17.08/12.34 (v136(constB145) | v145(constB145)),
% 17.08/12.34 inference(unit_resolution,[status(thm)],[33819, 33818])).
% 17.08/12.34 tff(33821,plain,
% 17.08/12.34 ((~(v135(constB145) <=> (v136(constB145) | v145(constB145)))) | v135(constB145) | (~(v136(constB145) | v145(constB145)))),
% 17.08/12.34 inference(tautology,[status(thm)],[])).
% 17.08/12.34 tff(33822,plain,
% 17.08/12.34 (v135(constB145)),
% 17.08/12.34 inference(unit_resolution,[status(thm)],[33821, 33820, 33812])).
% 17.08/12.34 tff(33823,plain,
% 17.08/12.34 (((~![VarNext: $i] : ((~v135(VarNext)) | (v86(VarNext) <=> v148(VarNext)))) | ((~v135(constB145)) | (v86(constB145) <=> v148(constB145)))) <=> ((~![VarNext: $i] : ((~v135(VarNext)) | (v86(VarNext) <=> v148(VarNext)))) | (~v135(constB145)) | (v86(constB145) <=> v148(constB145)))),
% 17.08/12.34 inference(rewrite,[status(thm)],[])).
% 17.08/12.34 tff(33824,plain,
% 17.08/12.34 ((~![VarNext: $i] : ((~v135(VarNext)) | (v86(VarNext) <=> v148(VarNext)))) | ((~v135(constB145)) | (v86(constB145) <=> v148(constB145)))),
% 17.08/12.35 inference(quant_inst,[status(thm)],[])).
% 17.08/12.35 tff(33825,plain,
% 17.08/12.35 ((~![VarNext: $i] : ((~v135(VarNext)) | (v86(VarNext) <=> v148(VarNext)))) | (~v135(constB145)) | (v86(constB145) <=> v148(constB145))),
% 17.08/12.35 inference(modus_ponens,[status(thm)],[33824, 33823])).
% 17.08/12.35 tff(33826,plain,
% 17.08/12.35 ((~v135(constB145)) | (v86(constB145) <=> v148(constB145))),
% 17.08/12.35 inference(unit_resolution,[status(thm)],[33825, 23566])).
% 17.08/12.35 tff(33827,plain,
% 17.08/12.35 (v86(constB145) <=> v148(constB145)),
% 17.08/12.35 inference(unit_resolution,[status(thm)],[33826, 33822])).
% 17.08/12.35 tff(33828,plain,
% 17.08/12.35 ((~(v86(constB145) <=> v148(constB145))) | v86(constB145) | (~v148(constB145))),
% 17.08/12.35 inference(tautology,[status(thm)],[])).
% 17.08/12.35 tff(33829,plain,
% 17.08/12.35 (v86(constB145)),
% 17.08/12.35 inference(unit_resolution,[status(thm)],[33828, 33827, 33810])).
% 17.08/12.35 tff(33830,plain,
% 17.08/12.35 ($false),
% 17.08/12.35 inference(unit_resolution,[status(thm)],[33829, 33805])).
% 17.08/12.35 tff(33831,plain,(~(constB145 = VarCurr!0)), inference(lemma,lemma(discharge,[]))).
% 17.08/12.35 tff(33832,assumption,(constB127 = VarCurr!0), introduced(assumption)).
% 17.08/12.35 tff(33833,plain,
% 17.08/12.35 (v193(constB127) <=> v193(VarCurr!0)),
% 17.08/12.35 inference(monotonicity,[status(thm)],[33832])).
% 17.08/12.35 tff(33834,plain,
% 17.08/12.35 (v193(VarCurr!0) <=> v193(constB127)),
% 17.08/12.35 inference(symmetry,[status(thm)],[33833])).
% 17.08/12.35 tff(33835,plain,
% 17.08/12.35 (v193(constB127)),
% 17.08/12.35 inference(modus_ponens,[status(thm)],[59, 33834])).
% 17.08/12.35 tff(33836,plain,
% 17.08/12.35 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v193(VarNext) <=> v191(VarCurr)))) | ((~nextState(constB126, constB127)) | (v193(constB127) <=> v191(constB126)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v193(VarNext) <=> v191(VarCurr)))) | (~nextState(constB126, constB127)) | (v193(constB127) <=> v191(constB126)))),
% 17.08/12.35 inference(rewrite,[status(thm)],[])).
% 17.08/12.35 tff(33837,plain,
% 17.08/12.35 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v193(VarNext) <=> v191(VarCurr)))) | ((~nextState(constB126, constB127)) | (v193(constB127) <=> v191(constB126)))),
% 17.08/12.35 inference(quant_inst,[status(thm)],[])).
% 17.08/12.35 tff(33838,plain,
% 17.08/12.35 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v193(VarNext) <=> v191(VarCurr)))) | (~nextState(constB126, constB127)) | (v193(constB127) <=> v191(constB126))),
% 17.08/12.35 inference(modus_ponens,[status(thm)],[33837, 33836])).
% 17.08/12.35 tff(33839,plain,
% 17.08/12.35 (v193(constB127) <=> v191(constB126)),
% 17.08/12.35 inference(unit_resolution,[status(thm)],[33838, 14644, 70])).
% 17.08/12.35 tff(33840,plain,
% 17.08/12.35 ((~![VarCurr: $i] : (v191(VarCurr) <=> (v194(VarCurr) | v198(VarCurr)))) | (v191(constB126) <=> (v194(constB126) | v198(constB126)))),
% 17.08/12.35 inference(quant_inst,[status(thm)],[])).
% 17.08/12.35 tff(33841,plain,
% 17.08/12.35 (v191(constB126) <=> (v194(constB126) | v198(constB126))),
% 17.08/12.35 inference(unit_resolution,[status(thm)],[33840, 84])).
% 17.08/12.35 tff(33842,plain,
% 17.08/12.35 ((~![VarCurr: $i] : (v198(VarCurr) <=> (~((~v199(VarCurr)) | (~v200(VarCurr)))))) | (v198(constB126) <=> (~((~v199(constB126)) | (~v200(constB126)))))),
% 17.08/12.35 inference(quant_inst,[status(thm)],[])).
% 17.08/12.35 tff(33843,plain,
% 17.08/12.35 (v198(constB126) <=> (~((~v199(constB126)) | (~v200(constB126))))),
% 17.08/12.35 inference(unit_resolution,[status(thm)],[33842, 96])).
% 17.08/12.35 tff(33844,plain,
% 17.08/12.35 ((~![VarCurr: $i] : (v200(VarCurr) <=> (~((~v197(VarCurr)) | (~v201(VarCurr)))))) | (v200(constB126) <=> (~((~v197(constB126)) | (~v201(constB126)))))),
% 17.08/12.35 inference(quant_inst,[status(thm)],[])).
% 17.08/12.35 tff(33845,plain,
% 17.08/12.35 (v200(constB126) <=> (~((~v197(constB126)) | (~v201(constB126))))),
% 17.08/12.35 inference(unit_resolution,[status(thm)],[33844, 108])).
% 17.08/12.35 tff(33846,plain,
% 17.08/12.35 ((~![VarCurr: $i] : (v197(VarCurr) <=> (~((~v39(VarCurr)) | (~v9(VarCurr)))))) | (v197(constB126) <=> (~((~v39(constB126)) | (~v9(constB126)))))),
% 17.08/12.35 inference(quant_inst,[status(thm)],[])).
% 17.08/12.35 tff(33847,plain,
% 17.08/12.35 (v197(constB126) <=> (~((~v39(constB126)) | (~v9(constB126))))),
% 17.08/12.35 inference(unit_resolution,[status(thm)],[33846, 120])).
% 17.08/12.35 tff(33848,plain,
% 17.08/12.35 ((~![VarCurr: $i] : ((~v39(VarCurr)) <=> v1(VarCurr))) | ((~v39(constB126)) <=> v1(constB126))),
% 17.08/12.35 inference(quant_inst,[status(thm)],[])).
% 17.08/12.35 tff(33849,plain,
% 17.08/12.35 ((~v39(constB126)) <=> v1(constB126)),
% 17.08/12.35 inference(unit_resolution,[status(thm)],[33848, 129])).
% 17.08/12.35 tff(33850,plain,
% 17.08/12.35 ((~((~v39(constB126)) <=> v1(constB126))) | (~v39(constB126)) | (~v1(constB126))),
% 17.08/12.35 inference(tautology,[status(thm)],[])).
% 17.08/12.35 tff(33851,plain,
% 17.08/12.35 ((~((~v39(constB126)) <=> v1(constB126))) | (~v39(constB126))),
% 17.08/12.35 inference(unit_resolution,[status(thm)],[33850, 14706])).
% 17.08/12.35 tff(33852,plain,
% 17.08/12.35 (~v39(constB126)),
% 17.08/12.35 inference(unit_resolution,[status(thm)],[33851, 33849])).
% 17.08/12.35 tff(33853,plain,
% 17.08/12.35 (((~v39(constB126)) | (~v9(constB126))) | v39(constB126)),
% 17.08/12.35 inference(tautology,[status(thm)],[])).
% 17.08/12.35 tff(33854,plain,
% 17.08/12.35 ((~v39(constB126)) | (~v9(constB126))),
% 17.08/12.35 inference(unit_resolution,[status(thm)],[33853, 33852])).
% 17.08/12.35 tff(33855,plain,
% 17.08/12.35 ((~(v197(constB126) <=> (~((~v39(constB126)) | (~v9(constB126)))))) | (~v197(constB126)) | (~((~v39(constB126)) | (~v9(constB126))))),
% 17.08/12.35 inference(tautology,[status(thm)],[])).
% 17.08/12.35 tff(33856,plain,
% 17.08/12.35 ((~(v197(constB126) <=> (~((~v39(constB126)) | (~v9(constB126)))))) | (~v197(constB126))),
% 17.08/12.35 inference(unit_resolution,[status(thm)],[33855, 33854])).
% 17.08/12.35 tff(33857,plain,
% 17.08/12.35 (~v197(constB126)),
% 17.08/12.35 inference(unit_resolution,[status(thm)],[33856, 33847])).
% 17.08/12.35 tff(33858,plain,
% 17.08/12.35 (((~v197(constB126)) | (~v201(constB126))) | v197(constB126)),
% 17.08/12.35 inference(tautology,[status(thm)],[])).
% 17.08/12.35 tff(33859,plain,
% 17.08/12.35 ((~v197(constB126)) | (~v201(constB126))),
% 17.08/12.35 inference(unit_resolution,[status(thm)],[33858, 33857])).
% 17.08/12.35 tff(33860,plain,
% 17.08/12.35 ((~(v200(constB126) <=> (~((~v197(constB126)) | (~v201(constB126)))))) | (~v200(constB126)) | (~((~v197(constB126)) | (~v201(constB126))))),
% 17.08/12.35 inference(tautology,[status(thm)],[])).
% 17.08/12.35 tff(33861,plain,
% 17.08/12.35 ((~(v200(constB126) <=> (~((~v197(constB126)) | (~v201(constB126)))))) | (~v200(constB126))),
% 17.08/12.35 inference(unit_resolution,[status(thm)],[33860, 33859])).
% 17.08/12.35 tff(33862,plain,
% 17.08/12.35 (~v200(constB126)),
% 17.08/12.35 inference(unit_resolution,[status(thm)],[33861, 33845])).
% 17.08/12.35 tff(33863,plain,
% 17.08/12.35 (((~v199(constB126)) | (~v200(constB126))) | v200(constB126)),
% 17.08/12.35 inference(tautology,[status(thm)],[])).
% 17.08/12.35 tff(33864,plain,
% 17.08/12.35 ((~v199(constB126)) | (~v200(constB126))),
% 17.08/12.35 inference(unit_resolution,[status(thm)],[33863, 33862])).
% 17.08/12.35 tff(33865,plain,
% 17.08/12.35 ((~(v198(constB126) <=> (~((~v199(constB126)) | (~v200(constB126)))))) | (~v198(constB126)) | (~((~v199(constB126)) | (~v200(constB126))))),
% 17.08/12.35 inference(tautology,[status(thm)],[])).
% 17.08/12.35 tff(33866,plain,
% 17.08/12.35 (~v198(constB126)),
% 17.08/12.35 inference(unit_resolution,[status(thm)],[33865, 33864, 33843])).
% 17.08/12.35 tff(33867,plain,
% 17.08/12.35 (((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB126) <=> (~((~v157(constB126)) | (~v195(constB126)))))) <=> ((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB126) <=> (~((~v157(constB126)) | (~v195(constB126))))))),
% 17.08/12.35 inference(rewrite,[status(thm)],[])).
% 17.08/12.35 tff(33868,plain,
% 17.08/12.35 ((v194(constB126) <=> (~((~v195(constB126)) | (~v157(constB126))))) <=> (v194(constB126) <=> (~((~v157(constB126)) | (~v195(constB126)))))),
% 17.08/12.35 inference(rewrite,[status(thm)],[])).
% 17.08/12.35 tff(33869,plain,
% 17.08/12.35 (((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB126) <=> (~((~v195(constB126)) | (~v157(constB126)))))) <=> ((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB126) <=> (~((~v157(constB126)) | (~v195(constB126))))))),
% 17.08/12.35 inference(monotonicity,[status(thm)],[33868])).
% 17.08/12.35 tff(33870,plain,
% 17.08/12.35 (((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB126) <=> (~((~v195(constB126)) | (~v157(constB126)))))) <=> ((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB126) <=> (~((~v157(constB126)) | (~v195(constB126))))))),
% 17.08/12.35 inference(transitivity,[status(thm)],[33869, 33867])).
% 17.08/12.35 tff(33871,plain,
% 17.08/12.35 ((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB126) <=> (~((~v195(constB126)) | (~v157(constB126)))))),
% 17.08/12.35 inference(quant_inst,[status(thm)],[])).
% 17.08/12.35 tff(33872,plain,
% 17.08/12.35 ((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB126) <=> (~((~v157(constB126)) | (~v195(constB126)))))),
% 17.08/12.35 inference(modus_ponens,[status(thm)],[33871, 33870])).
% 17.08/12.35 tff(33873,plain,
% 17.08/12.35 (v194(constB126) <=> (~((~v157(constB126)) | (~v195(constB126))))),
% 17.08/12.35 inference(unit_resolution,[status(thm)],[33872, 161])).
% 17.08/12.35 tff(33874,plain,
% 17.08/12.35 ((~![VarNext: $i] : (v157(VarNext) <=> v193(VarNext))) | (v157(constB126) <=> v193(constB126))),
% 17.08/12.35 inference(quant_inst,[status(thm)],[])).
% 17.08/12.35 tff(33875,plain,
% 17.08/12.35 (v157(constB126) <=> v193(constB126)),
% 17.08/12.35 inference(unit_resolution,[status(thm)],[33874, 13])).
% 17.08/12.35 tff(33876,plain,
% 17.08/12.35 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v193(VarNext) <=> v191(VarCurr)))) | ((~nextState(constB125, constB126)) | (v193(constB126) <=> v191(constB125)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v193(VarNext) <=> v191(VarCurr)))) | (~nextState(constB125, constB126)) | (v193(constB126) <=> v191(constB125)))),
% 17.08/12.35 inference(rewrite,[status(thm)],[])).
% 17.08/12.35 tff(33877,plain,
% 17.08/12.35 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v193(VarNext) <=> v191(VarCurr)))) | ((~nextState(constB125, constB126)) | (v193(constB126) <=> v191(constB125)))),
% 17.08/12.35 inference(quant_inst,[status(thm)],[])).
% 17.08/12.35 tff(33878,plain,
% 17.08/12.35 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v193(VarNext) <=> v191(VarCurr)))) | (~nextState(constB125, constB126)) | (v193(constB126) <=> v191(constB125))),
% 17.08/12.35 inference(modus_ponens,[status(thm)],[33877, 33876])).
% 17.08/12.35 tff(33879,plain,
% 17.08/12.35 (v193(constB126) <=> v191(constB125)),
% 17.08/12.35 inference(unit_resolution,[status(thm)],[33878, 14676, 70])).
% 17.08/12.35 tff(33880,plain,
% 17.08/12.35 ((~![VarCurr: $i] : (v191(VarCurr) <=> (v194(VarCurr) | v198(VarCurr)))) | (v191(constB125) <=> (v194(constB125) | v198(constB125)))),
% 17.08/12.35 inference(quant_inst,[status(thm)],[])).
% 17.08/12.35 tff(33881,plain,
% 17.08/12.35 (v191(constB125) <=> (v194(constB125) | v198(constB125))),
% 17.08/12.35 inference(unit_resolution,[status(thm)],[33880, 84])).
% 17.08/12.35 tff(33882,plain,
% 17.08/12.35 (((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB125) <=> (~((~v157(constB125)) | (~v195(constB125)))))) <=> ((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB125) <=> (~((~v157(constB125)) | (~v195(constB125))))))),
% 17.08/12.35 inference(rewrite,[status(thm)],[])).
% 17.08/12.35 tff(33883,plain,
% 17.08/12.35 ((v194(constB125) <=> (~((~v195(constB125)) | (~v157(constB125))))) <=> (v194(constB125) <=> (~((~v157(constB125)) | (~v195(constB125)))))),
% 17.08/12.35 inference(rewrite,[status(thm)],[])).
% 17.08/12.35 tff(33884,plain,
% 17.08/12.35 (((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB125) <=> (~((~v195(constB125)) | (~v157(constB125)))))) <=> ((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB125) <=> (~((~v157(constB125)) | (~v195(constB125))))))),
% 17.08/12.35 inference(monotonicity,[status(thm)],[33883])).
% 17.08/12.35 tff(33885,plain,
% 17.08/12.35 (((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB125) <=> (~((~v195(constB125)) | (~v157(constB125)))))) <=> ((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB125) <=> (~((~v157(constB125)) | (~v195(constB125))))))),
% 17.08/12.35 inference(transitivity,[status(thm)],[33884, 33882])).
% 17.08/12.35 tff(33886,plain,
% 17.08/12.35 ((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB125) <=> (~((~v195(constB125)) | (~v157(constB125)))))),
% 17.08/12.35 inference(quant_inst,[status(thm)],[])).
% 17.08/12.35 tff(33887,plain,
% 17.08/12.35 ((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB125) <=> (~((~v157(constB125)) | (~v195(constB125)))))),
% 17.08/12.35 inference(modus_ponens,[status(thm)],[33886, 33885])).
% 17.08/12.35 tff(33888,plain,
% 17.08/12.35 (v194(constB125) <=> (~((~v157(constB125)) | (~v195(constB125))))),
% 17.08/12.35 inference(unit_resolution,[status(thm)],[33887, 161])).
% 17.08/12.35 tff(33889,plain,
% 17.08/12.35 ((~![VarCurr: $i] : ((~v195(VarCurr)) <=> v196(VarCurr))) | ((~v195(constB125)) <=> v196(constB125))),
% 17.08/12.35 inference(quant_inst,[status(thm)],[])).
% 17.08/12.35 tff(33890,plain,
% 17.08/12.35 ((~v195(constB125)) <=> v196(constB125)),
% 17.08/12.35 inference(unit_resolution,[status(thm)],[33889, 193])).
% 17.08/12.35 tff(33891,plain,
% 17.08/12.35 ((~![VarCurr: $i] : (v196(VarCurr) <=> (v197(VarCurr) | v26(VarCurr)))) | (v196(constB125) <=> (v197(constB125) | v26(constB125)))),
% 17.08/12.35 inference(quant_inst,[status(thm)],[])).
% 17.08/12.35 tff(33892,plain,
% 17.08/12.35 (v196(constB125) <=> (v197(constB125) | v26(constB125))),
% 17.08/12.35 inference(unit_resolution,[status(thm)],[33891, 202])).
% 17.08/12.35 tff(33893,plain,
% 17.08/12.35 ((~![VarCurr: $i] : (v197(VarCurr) <=> (~((~v39(VarCurr)) | (~v9(VarCurr)))))) | (v197(constB125) <=> (~((~v39(constB125)) | (~v9(constB125)))))),
% 17.08/12.35 inference(quant_inst,[status(thm)],[])).
% 17.08/12.35 tff(33894,plain,
% 17.08/12.35 (v197(constB125) <=> (~((~v39(constB125)) | (~v9(constB125))))),
% 17.08/12.35 inference(unit_resolution,[status(thm)],[33893, 120])).
% 17.08/12.35 tff(33895,plain,
% 17.08/12.35 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | ((~nextState(constB125, constB126)) | (v13(constB126) <=> v9(constB125)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | (~nextState(constB125, constB126)) | (v13(constB126) <=> v9(constB125)))),
% 17.08/12.35 inference(rewrite,[status(thm)],[])).
% 17.08/12.35 tff(33896,plain,
% 17.08/12.35 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | ((~nextState(constB125, constB126)) | (v13(constB126) <=> v9(constB125)))),
% 17.08/12.35 inference(quant_inst,[status(thm)],[])).
% 17.08/12.35 tff(33897,plain,
% 17.08/12.35 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | (~nextState(constB125, constB126)) | (v13(constB126) <=> v9(constB125))),
% 17.08/12.35 inference(modus_ponens,[status(thm)],[33896, 33895])).
% 17.08/12.35 tff(33898,plain,
% 17.08/12.35 (v13(constB126) <=> v9(constB125)),
% 17.08/12.35 inference(unit_resolution,[status(thm)],[33897, 14676, 216])).
% 17.08/12.35 tff(33899,plain,
% 17.08/12.35 ((~![VarNext: $i] : (v6(VarNext) <=> v13(VarNext))) | (v6(constB126) <=> v13(constB126))),
% 17.08/12.35 inference(quant_inst,[status(thm)],[])).
% 17.08/12.35 tff(33900,plain,
% 17.08/12.35 (v6(constB126) <=> v13(constB126)),
% 17.08/12.35 inference(unit_resolution,[status(thm)],[33899, 230])).
% 17.08/12.35 tff(33901,plain,
% 17.08/12.35 ((~![VarCurr: $i] : ((~v21(VarCurr)) <=> v6(VarCurr))) | ((~v21(constB126)) <=> v6(constB126))),
% 17.08/12.35 inference(quant_inst,[status(thm)],[])).
% 17.08/12.35 tff(33902,plain,
% 17.08/12.35 ((~v21(constB126)) <=> v6(constB126)),
% 17.08/12.35 inference(unit_resolution,[status(thm)],[33901, 239])).
% 17.08/12.35 tff(33903,plain,
% 17.08/12.35 ((~![VarCurr: $i] : (v19(VarCurr) <=> (v20(VarCurr) | v21(VarCurr)))) | (v19(constB126) <=> (v20(constB126) | v21(constB126)))),
% 17.08/12.35 inference(quant_inst,[status(thm)],[])).
% 17.08/12.35 tff(33904,plain,
% 17.08/12.35 (v19(constB126) <=> (v20(constB126) | v21(constB126))),
% 17.08/12.35 inference(unit_resolution,[status(thm)],[33903, 248])).
% 17.08/12.35 tff(33905,plain,
% 17.08/12.35 ((~![VarCurr: $i] : (v18(VarCurr) <=> (~((~v19(VarCurr)) | (~v22(VarCurr)))))) | (v18(constB126) <=> (~((~v19(constB126)) | (~v22(constB126)))))),
% 17.08/12.35 inference(quant_inst,[status(thm)],[])).
% 17.08/12.35 tff(33906,plain,
% 17.08/12.35 (v18(constB126) <=> (~((~v19(constB126)) | (~v22(constB126))))),
% 17.08/12.35 inference(unit_resolution,[status(thm)],[33905, 260])).
% 17.08/12.35 tff(33907,plain,
% 17.08/12.35 ((~![VarCurr: $i] : ((~v4(VarCurr)) <=> v18(VarCurr))) | ((~v4(constB126)) <=> v18(constB126))),
% 17.08/12.35 inference(quant_inst,[status(thm)],[])).
% 17.08/12.35 tff(33908,plain,
% 17.08/12.35 ((~v4(constB126)) <=> v18(constB126)),
% 17.08/12.35 inference(unit_resolution,[status(thm)],[33907, 269])).
% 17.08/12.35 tff(33909,plain,
% 17.08/12.35 ((~![VarCurr: $i] : v4(VarCurr)) | v4(constB126)),
% 17.08/12.35 inference(quant_inst,[status(thm)],[])).
% 17.08/12.35 tff(33910,plain,
% 17.08/12.35 (v4(constB126)),
% 17.08/12.35 inference(unit_resolution,[status(thm)],[33909, 278])).
% 17.08/12.35 tff(33911,plain,
% 17.08/12.35 ((~((~v4(constB126)) <=> v18(constB126))) | (~v4(constB126)) | (~v18(constB126))),
% 17.08/12.35 inference(tautology,[status(thm)],[])).
% 17.08/12.35 tff(33912,plain,
% 17.08/12.35 (~v18(constB126)),
% 17.08/12.35 inference(unit_resolution,[status(thm)],[33911, 33910, 33908])).
% 17.08/12.35 tff(33913,plain,
% 17.08/12.35 ((~(v18(constB126) <=> (~((~v19(constB126)) | (~v22(constB126)))))) | v18(constB126) | ((~v19(constB126)) | (~v22(constB126)))),
% 17.08/12.35 inference(tautology,[status(thm)],[])).
% 17.08/12.35 tff(33914,plain,
% 17.08/12.35 ((~v19(constB126)) | (~v22(constB126))),
% 17.08/12.35 inference(unit_resolution,[status(thm)],[33913, 33912, 33906])).
% 17.08/12.35 tff(33915,plain,
% 17.08/12.35 ((~![VarCurr: $i] : (v22(VarCurr) <=> (v1(VarCurr) | v6(VarCurr)))) | (v22(constB126) <=> (v1(constB126) | v6(constB126)))),
% 17.08/12.35 inference(quant_inst,[status(thm)],[])).
% 17.08/12.35 tff(33916,plain,
% 17.08/12.35 (v22(constB126) <=> (v1(constB126) | v6(constB126))),
% 17.08/12.35 inference(unit_resolution,[status(thm)],[33915, 291])).
% 17.08/12.35 tff(33917,plain,
% 17.08/12.35 ((v1(constB126) | v6(constB126)) | (~v1(constB126))),
% 17.08/12.35 inference(tautology,[status(thm)],[])).
% 17.08/12.35 tff(33918,plain,
% 17.08/12.35 (v1(constB126) | v6(constB126)),
% 17.08/12.35 inference(unit_resolution,[status(thm)],[33917, 14706])).
% 17.08/12.35 tff(33919,plain,
% 17.08/12.35 ((~(v22(constB126) <=> (v1(constB126) | v6(constB126)))) | v22(constB126) | (~(v1(constB126) | v6(constB126)))),
% 17.08/12.35 inference(tautology,[status(thm)],[])).
% 17.08/12.35 tff(33920,plain,
% 17.08/12.35 ((~(v22(constB126) <=> (v1(constB126) | v6(constB126)))) | v22(constB126)),
% 17.08/12.35 inference(unit_resolution,[status(thm)],[33919, 33918])).
% 17.08/12.35 tff(33921,plain,
% 17.08/12.35 (v22(constB126)),
% 17.08/12.35 inference(unit_resolution,[status(thm)],[33920, 33916])).
% 17.08/12.35 tff(33922,plain,
% 17.08/12.35 ((~((~v19(constB126)) | (~v22(constB126)))) | (~v19(constB126)) | (~v22(constB126))),
% 17.08/12.35 inference(tautology,[status(thm)],[])).
% 17.08/12.35 tff(33923,plain,
% 17.08/12.35 ((~((~v19(constB126)) | (~v22(constB126)))) | (~v19(constB126))),
% 17.08/12.35 inference(unit_resolution,[status(thm)],[33922, 33921])).
% 17.08/12.35 tff(33924,plain,
% 17.08/12.35 (~v19(constB126)),
% 17.08/12.35 inference(unit_resolution,[status(thm)],[33923, 33914])).
% 17.08/12.35 tff(33925,plain,
% 17.08/12.35 ((~(v19(constB126) <=> (v20(constB126) | v21(constB126)))) | v19(constB126) | (~(v20(constB126) | v21(constB126)))),
% 17.08/12.35 inference(tautology,[status(thm)],[])).
% 17.08/12.35 tff(33926,plain,
% 17.08/12.35 (~(v20(constB126) | v21(constB126))),
% 17.08/12.35 inference(unit_resolution,[status(thm)],[33925, 33924, 33904])).
% 17.08/12.35 tff(33927,plain,
% 17.08/12.35 ((v20(constB126) | v21(constB126)) | (~v21(constB126))),
% 17.08/12.35 inference(tautology,[status(thm)],[])).
% 17.08/12.35 tff(33928,plain,
% 17.08/12.35 (~v21(constB126)),
% 17.08/12.35 inference(unit_resolution,[status(thm)],[33927, 33926])).
% 17.08/12.35 tff(33929,plain,
% 17.08/12.35 ((~((~v21(constB126)) <=> v6(constB126))) | v21(constB126) | v6(constB126)),
% 17.08/12.35 inference(tautology,[status(thm)],[])).
% 17.08/12.35 tff(33930,plain,
% 17.08/12.35 (v6(constB126)),
% 17.08/12.35 inference(unit_resolution,[status(thm)],[33929, 33928, 33902])).
% 17.08/12.35 tff(33931,plain,
% 17.08/12.35 ((~(v6(constB126) <=> v13(constB126))) | (~v6(constB126)) | v13(constB126)),
% 17.08/12.35 inference(tautology,[status(thm)],[])).
% 17.08/12.35 tff(33932,plain,
% 17.08/12.35 (v13(constB126)),
% 17.08/12.35 inference(unit_resolution,[status(thm)],[33931, 33930, 33900])).
% 17.08/12.35 tff(33933,plain,
% 17.08/12.35 ((~(v13(constB126) <=> v9(constB125))) | (~v13(constB126)) | v9(constB125)),
% 17.08/12.35 inference(tautology,[status(thm)],[])).
% 17.08/12.35 tff(33934,plain,
% 17.08/12.35 (v9(constB125)),
% 17.08/12.35 inference(unit_resolution,[status(thm)],[33933, 33932, 33898])).
% 17.08/12.35 tff(33935,plain,
% 17.08/12.35 ((~![VarCurr: $i] : ((~v39(VarCurr)) <=> v1(VarCurr))) | ((~v39(constB125)) <=> v1(constB125))),
% 17.08/12.35 inference(quant_inst,[status(thm)],[])).
% 17.08/12.35 tff(33936,plain,
% 17.08/12.35 ((~v39(constB125)) <=> v1(constB125)),
% 17.08/12.35 inference(unit_resolution,[status(thm)],[33935, 129])).
% 17.08/12.35 tff(33937,plain,
% 17.08/12.35 ((~((~v39(constB125)) <=> v1(constB125))) | v39(constB125) | v1(constB125)),
% 17.08/12.35 inference(tautology,[status(thm)],[])).
% 17.08/12.35 tff(33938,plain,
% 17.08/12.35 ((~((~v39(constB125)) <=> v1(constB125))) | v39(constB125)),
% 17.08/12.35 inference(unit_resolution,[status(thm)],[33937, 14698])).
% 17.08/12.35 tff(33939,plain,
% 17.08/12.35 (v39(constB125)),
% 17.08/12.35 inference(unit_resolution,[status(thm)],[33938, 33936])).
% 17.08/12.35 tff(33940,plain,
% 17.08/12.35 ((~((~v39(constB125)) | (~v9(constB125)))) | (~v39(constB125)) | (~v9(constB125))),
% 17.08/12.35 inference(tautology,[status(thm)],[])).
% 17.08/12.35 tff(33941,plain,
% 17.08/12.35 ((~((~v39(constB125)) | (~v9(constB125)))) | (~v9(constB125))),
% 17.08/12.35 inference(unit_resolution,[status(thm)],[33940, 33939])).
% 17.08/12.35 tff(33942,plain,
% 17.08/12.35 (~((~v39(constB125)) | (~v9(constB125)))),
% 17.08/12.35 inference(unit_resolution,[status(thm)],[33941, 33934])).
% 17.08/12.35 tff(33943,plain,
% 17.08/12.35 ((~(v197(constB125) <=> (~((~v39(constB125)) | (~v9(constB125)))))) | v197(constB125) | ((~v39(constB125)) | (~v9(constB125)))),
% 17.08/12.35 inference(tautology,[status(thm)],[])).
% 17.08/12.36 tff(33944,plain,
% 17.08/12.36 (v197(constB125)),
% 17.08/12.36 inference(unit_resolution,[status(thm)],[33943, 33942, 33894])).
% 17.08/12.36 tff(33945,plain,
% 17.08/12.36 ((v197(constB125) | v26(constB125)) | (~v197(constB125))),
% 17.08/12.36 inference(tautology,[status(thm)],[])).
% 17.08/12.36 tff(33946,plain,
% 17.08/12.36 (v197(constB125) | v26(constB125)),
% 17.08/12.36 inference(unit_resolution,[status(thm)],[33945, 33944])).
% 17.08/12.36 tff(33947,plain,
% 17.08/12.36 ((~(v196(constB125) <=> (v197(constB125) | v26(constB125)))) | v196(constB125) | (~(v197(constB125) | v26(constB125)))),
% 17.08/12.36 inference(tautology,[status(thm)],[])).
% 17.08/12.36 tff(33948,plain,
% 17.08/12.36 (v196(constB125)),
% 17.08/12.36 inference(unit_resolution,[status(thm)],[33947, 33946, 33892])).
% 17.08/12.36 tff(33949,plain,
% 17.08/12.36 ((~((~v195(constB125)) <=> v196(constB125))) | (~v195(constB125)) | (~v196(constB125))),
% 17.08/12.36 inference(tautology,[status(thm)],[])).
% 17.08/12.36 tff(33950,plain,
% 17.08/12.36 (~v195(constB125)),
% 17.08/12.36 inference(unit_resolution,[status(thm)],[33949, 33948, 33890])).
% 17.08/12.36 tff(33951,plain,
% 17.08/12.36 (((~v157(constB125)) | (~v195(constB125))) | v195(constB125)),
% 17.08/12.36 inference(tautology,[status(thm)],[])).
% 17.08/12.36 tff(33952,plain,
% 17.08/12.36 ((~v157(constB125)) | (~v195(constB125))),
% 17.08/12.36 inference(unit_resolution,[status(thm)],[33951, 33950])).
% 17.08/12.36 tff(33953,plain,
% 17.08/12.36 ((~(v194(constB125) <=> (~((~v157(constB125)) | (~v195(constB125)))))) | (~v194(constB125)) | (~((~v157(constB125)) | (~v195(constB125))))),
% 17.08/12.36 inference(tautology,[status(thm)],[])).
% 17.08/12.36 tff(33954,plain,
% 17.08/12.36 (~v194(constB125)),
% 17.08/12.36 inference(unit_resolution,[status(thm)],[33953, 33952, 33888])).
% 17.08/12.36 tff(33955,plain,
% 17.08/12.36 ((~![VarCurr: $i] : (v198(VarCurr) <=> (~((~v199(VarCurr)) | (~v200(VarCurr)))))) | (v198(constB125) <=> (~((~v199(constB125)) | (~v200(constB125)))))),
% 17.08/12.36 inference(quant_inst,[status(thm)],[])).
% 17.08/12.36 tff(33956,plain,
% 17.08/12.36 (v198(constB125) <=> (~((~v199(constB125)) | (~v200(constB125))))),
% 17.08/12.36 inference(unit_resolution,[status(thm)],[33955, 96])).
% 17.08/12.36 tff(33957,plain,
% 17.08/12.36 ((~![VarCurr: $i] : (v200(VarCurr) <=> (~((~v197(VarCurr)) | (~v201(VarCurr)))))) | (v200(constB125) <=> (~((~v197(constB125)) | (~v201(constB125)))))),
% 17.08/12.36 inference(quant_inst,[status(thm)],[])).
% 17.08/12.36 tff(33958,plain,
% 17.08/12.36 (v200(constB125) <=> (~((~v197(constB125)) | (~v201(constB125))))),
% 17.08/12.36 inference(unit_resolution,[status(thm)],[33957, 108])).
% 17.08/12.36 tff(33959,plain,
% 17.08/12.36 ((~![VarCurr: $i] : (v201(VarCurr) <=> (~((~v159(VarCurr)) | (~v161(VarCurr)))))) | (v201(constB125) <=> (~((~v159(constB125)) | (~v161(constB125)))))),
% 17.08/12.36 inference(quant_inst,[status(thm)],[])).
% 17.08/12.36 tff(33960,plain,
% 17.08/12.36 (v201(constB125) <=> (~((~v159(constB125)) | (~v161(constB125))))),
% 17.08/12.36 inference(unit_resolution,[status(thm)],[33959, 348])).
% 17.08/12.36 tff(33961,plain,
% 17.08/12.36 ((~![VarCurr: $i] : (v161(VarCurr) <=> v163(VarCurr))) | (v161(constB125) <=> v163(constB125))),
% 17.08/12.36 inference(quant_inst,[status(thm)],[])).
% 17.08/12.36 tff(33962,plain,
% 17.08/12.36 (v161(constB125) <=> v163(constB125)),
% 17.08/12.36 inference(unit_resolution,[status(thm)],[33961, 357])).
% 17.08/12.36 tff(33963,plain,
% 17.08/12.36 ((~![VarCurr: $i] : (v171(VarCurr) <=> (v142(VarCurr) | v150(VarCurr)))) | (v171(constB125) <=> (v142(constB125) | v150(constB125)))),
% 17.08/12.36 inference(quant_inst,[status(thm)],[])).
% 17.08/12.36 tff(33964,plain,
% 17.08/12.36 (v171(constB125) <=> (v142(constB125) | v150(constB125))),
% 17.08/12.36 inference(unit_resolution,[status(thm)],[33963, 369])).
% 17.08/12.36 tff(33965,plain,
% 17.08/12.36 ((~![VarCurr: $i] : (v142(VarCurr) <=> (v143(VarCurr) | v144(VarCurr)))) | (v142(constB125) <=> (v143(constB125) | v144(constB125)))),
% 17.08/12.36 inference(quant_inst,[status(thm)],[])).
% 17.08/12.36 tff(33966,plain,
% 17.08/12.36 (v142(constB125) <=> (v143(constB125) | v144(constB125))),
% 17.08/12.36 inference(unit_resolution,[status(thm)],[33965, 378])).
% 17.08/12.36 tff(33967,plain,
% 17.08/12.36 (((~![VarCurr: $i] : (v144(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex2)))))) | (v144(constB125) <=> (~((~v88(constB125, bitIndex2)) | (~v88(constB125, bitIndex1)) | v88(constB125, bitIndex0))))) <=> ((~![VarCurr: $i] : (v144(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex2)))))) | (v144(constB125) <=> (~((~v88(constB125, bitIndex2)) | (~v88(constB125, bitIndex1)) | v88(constB125, bitIndex0)))))),
% 17.08/12.36 inference(rewrite,[status(thm)],[])).
% 17.08/12.36 tff(33968,plain,
% 17.08/12.36 ((v144(constB125) <=> (~(v88(constB125, bitIndex0) | (~v88(constB125, bitIndex1)) | (~v88(constB125, bitIndex2))))) <=> (v144(constB125) <=> (~((~v88(constB125, bitIndex2)) | (~v88(constB125, bitIndex1)) | v88(constB125, bitIndex0))))),
% 17.08/12.36 inference(rewrite,[status(thm)],[])).
% 17.08/12.36 tff(33969,plain,
% 17.08/12.36 (((~![VarCurr: $i] : (v144(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex2)))))) | (v144(constB125) <=> (~(v88(constB125, bitIndex0) | (~v88(constB125, bitIndex1)) | (~v88(constB125, bitIndex2)))))) <=> ((~![VarCurr: $i] : (v144(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex2)))))) | (v144(constB125) <=> (~((~v88(constB125, bitIndex2)) | (~v88(constB125, bitIndex1)) | v88(constB125, bitIndex0)))))),
% 17.08/12.36 inference(monotonicity,[status(thm)],[33968])).
% 17.08/12.36 tff(33970,plain,
% 17.08/12.36 (((~![VarCurr: $i] : (v144(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex2)))))) | (v144(constB125) <=> (~(v88(constB125, bitIndex0) | (~v88(constB125, bitIndex1)) | (~v88(constB125, bitIndex2)))))) <=> ((~![VarCurr: $i] : (v144(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex2)))))) | (v144(constB125) <=> (~((~v88(constB125, bitIndex2)) | (~v88(constB125, bitIndex1)) | v88(constB125, bitIndex0)))))),
% 17.08/12.36 inference(transitivity,[status(thm)],[33969, 33967])).
% 17.08/12.36 tff(33971,plain,
% 17.08/12.36 ((~![VarCurr: $i] : (v144(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex2)))))) | (v144(constB125) <=> (~(v88(constB125, bitIndex0) | (~v88(constB125, bitIndex1)) | (~v88(constB125, bitIndex2)))))),
% 17.08/12.36 inference(quant_inst,[status(thm)],[])).
% 17.08/12.36 tff(33972,plain,
% 17.08/12.36 ((~![VarCurr: $i] : (v144(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex2)))))) | (v144(constB125) <=> (~((~v88(constB125, bitIndex2)) | (~v88(constB125, bitIndex1)) | v88(constB125, bitIndex0))))),
% 17.08/12.36 inference(modus_ponens,[status(thm)],[33971, 33970])).
% 17.08/12.36 tff(33973,plain,
% 17.08/12.36 (v144(constB125) <=> (~((~v88(constB125, bitIndex2)) | (~v88(constB125, bitIndex1)) | v88(constB125, bitIndex0)))),
% 17.08/12.36 inference(unit_resolution,[status(thm)],[33972, 393])).
% 17.08/12.36 tff(33974,plain,
% 17.08/12.36 (((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | ((~less_3(bitIndex2)) | (v88(constB125, bitIndex2) <=> v90(constB125, bitIndex2)))) <=> ((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | (~less_3(bitIndex2)) | (v88(constB125, bitIndex2) <=> v90(constB125, bitIndex2)))),
% 17.08/12.36 inference(rewrite,[status(thm)],[])).
% 17.08/12.36 tff(33975,plain,
% 17.08/12.36 ((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | ((~less_3(bitIndex2)) | (v88(constB125, bitIndex2) <=> v90(constB125, bitIndex2)))),
% 17.08/12.36 inference(quant_inst,[status(thm)],[])).
% 17.08/12.36 tff(33976,plain,
% 17.08/12.36 ((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | (~less_3(bitIndex2)) | (v88(constB125, bitIndex2) <=> v90(constB125, bitIndex2))),
% 17.08/12.36 inference(modus_ponens,[status(thm)],[33975, 33974])).
% 17.08/12.36 tff(33977,plain,
% 17.08/12.36 (v88(constB125, bitIndex2) <=> v90(constB125, bitIndex2)),
% 17.08/12.36 inference(unit_resolution,[status(thm)],[33976, 413, 410])).
% 17.08/12.36 tff(33978,plain,
% 17.08/12.36 ((~(v88(constB125, bitIndex2) <=> v90(constB125, bitIndex2))) | v88(constB125, bitIndex2) | (~v90(constB125, bitIndex2))),
% 17.08/12.36 inference(tautology,[status(thm)],[])).
% 17.08/12.36 tff(33979,plain,
% 17.08/12.36 (v88(constB125, bitIndex2)),
% 17.08/12.36 inference(unit_resolution,[status(thm)],[33978, 18533, 33977])).
% 17.08/12.36 tff(33980,plain,
% 17.08/12.36 (((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | ((~less_3(bitIndex0)) | (v88(constB125, bitIndex0) <=> v90(constB125, bitIndex0)))) <=> ((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | (~less_3(bitIndex0)) | (v88(constB125, bitIndex0) <=> v90(constB125, bitIndex0)))),
% 17.08/12.36 inference(rewrite,[status(thm)],[])).
% 17.08/12.36 tff(33981,plain,
% 17.08/12.36 ((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | ((~less_3(bitIndex0)) | (v88(constB125, bitIndex0) <=> v90(constB125, bitIndex0)))),
% 17.08/12.36 inference(quant_inst,[status(thm)],[])).
% 17.08/12.36 tff(33982,plain,
% 17.08/12.36 ((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | (~less_3(bitIndex0)) | (v88(constB125, bitIndex0) <=> v90(constB125, bitIndex0))),
% 17.08/12.36 inference(modus_ponens,[status(thm)],[33981, 33980])).
% 17.08/12.36 tff(33983,plain,
% 17.08/12.36 (v88(constB125, bitIndex0) <=> v90(constB125, bitIndex0)),
% 17.08/12.36 inference(unit_resolution,[status(thm)],[33982, 5004, 410])).
% 17.08/12.36 tff(33984,plain,
% 17.08/12.36 ((~(v88(constB125, bitIndex0) <=> v90(constB125, bitIndex0))) | (~v88(constB125, bitIndex0)) | v90(constB125, bitIndex0)),
% 17.08/12.36 inference(tautology,[status(thm)],[])).
% 17.08/12.36 tff(33985,plain,
% 17.08/12.36 (~v88(constB125, bitIndex0)),
% 17.08/12.36 inference(unit_resolution,[status(thm)],[33984, 18564, 33983])).
% 17.08/12.36 tff(33986,plain,
% 17.08/12.36 (((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | ((~less_3(bitIndex1)) | (v88(constB125, bitIndex1) <=> v90(constB125, bitIndex1)))) <=> ((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | (~less_3(bitIndex1)) | (v88(constB125, bitIndex1) <=> v90(constB125, bitIndex1)))),
% 17.08/12.36 inference(rewrite,[status(thm)],[])).
% 17.08/12.36 tff(33987,plain,
% 17.08/12.36 ((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | ((~less_3(bitIndex1)) | (v88(constB125, bitIndex1) <=> v90(constB125, bitIndex1)))),
% 17.08/12.36 inference(quant_inst,[status(thm)],[])).
% 17.08/12.36 tff(33988,plain,
% 17.08/12.36 ((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | (~less_3(bitIndex1)) | (v88(constB125, bitIndex1) <=> v90(constB125, bitIndex1))),
% 17.08/12.36 inference(modus_ponens,[status(thm)],[33987, 33986])).
% 17.08/12.36 tff(33989,plain,
% 17.08/12.36 (v88(constB125, bitIndex1) <=> v90(constB125, bitIndex1)),
% 17.08/12.36 inference(unit_resolution,[status(thm)],[33988, 5017, 410])).
% 17.08/12.36 tff(33990,plain,
% 17.08/12.36 ((~(v88(constB125, bitIndex1) <=> v90(constB125, bitIndex1))) | v88(constB125, bitIndex1) | (~v90(constB125, bitIndex1))),
% 17.08/12.36 inference(tautology,[status(thm)],[])).
% 17.08/12.36 tff(33991,plain,
% 17.08/12.36 (v88(constB125, bitIndex1)),
% 17.08/12.36 inference(unit_resolution,[status(thm)],[33990, 18595, 33989])).
% 17.08/12.36 tff(33992,plain,
% 17.08/12.36 ((~((~v88(constB125, bitIndex2)) | (~v88(constB125, bitIndex1)) | v88(constB125, bitIndex0))) | (~v88(constB125, bitIndex2)) | (~v88(constB125, bitIndex1)) | v88(constB125, bitIndex0)),
% 17.08/12.36 inference(tautology,[status(thm)],[])).
% 17.08/12.36 tff(33993,plain,
% 17.08/12.36 (~((~v88(constB125, bitIndex2)) | (~v88(constB125, bitIndex1)) | v88(constB125, bitIndex0))),
% 17.08/12.36 inference(unit_resolution,[status(thm)],[33992, 33991, 33985, 33979])).
% 17.08/12.36 tff(33994,plain,
% 17.08/12.36 ((~(v144(constB125) <=> (~((~v88(constB125, bitIndex2)) | (~v88(constB125, bitIndex1)) | v88(constB125, bitIndex0))))) | v144(constB125) | ((~v88(constB125, bitIndex2)) | (~v88(constB125, bitIndex1)) | v88(constB125, bitIndex0))),
% 17.08/12.36 inference(tautology,[status(thm)],[])).
% 17.08/12.36 tff(33995,plain,
% 17.08/12.36 (v144(constB125)),
% 17.08/12.36 inference(unit_resolution,[status(thm)],[33994, 33993, 33973])).
% 17.08/12.36 tff(33996,plain,
% 17.08/12.36 ((v143(constB125) | v144(constB125)) | (~v144(constB125))),
% 17.08/12.36 inference(tautology,[status(thm)],[])).
% 17.08/12.36 tff(33997,plain,
% 17.08/12.36 (v143(constB125) | v144(constB125)),
% 17.08/12.36 inference(unit_resolution,[status(thm)],[33996, 33995])).
% 17.08/12.36 tff(33998,plain,
% 17.08/12.36 ((~(v142(constB125) <=> (v143(constB125) | v144(constB125)))) | v142(constB125) | (~(v143(constB125) | v144(constB125)))),
% 17.08/12.36 inference(tautology,[status(thm)],[])).
% 17.08/12.36 tff(33999,plain,
% 17.08/12.36 (v142(constB125)),
% 17.08/12.36 inference(unit_resolution,[status(thm)],[33998, 33997, 33966])).
% 17.08/12.36 tff(34000,plain,
% 17.08/12.36 ((v142(constB125) | v150(constB125)) | (~v142(constB125))),
% 17.08/12.36 inference(tautology,[status(thm)],[])).
% 17.08/12.36 tff(34001,plain,
% 17.08/12.36 (v142(constB125) | v150(constB125)),
% 17.08/12.36 inference(unit_resolution,[status(thm)],[34000, 33999])).
% 17.08/12.36 tff(34002,plain,
% 17.08/12.36 ((~(v171(constB125) <=> (v142(constB125) | v150(constB125)))) | v171(constB125) | (~(v142(constB125) | v150(constB125)))),
% 17.08/12.36 inference(tautology,[status(thm)],[])).
% 17.08/12.36 tff(34003,plain,
% 17.08/12.36 (v171(constB125)),
% 17.08/12.36 inference(unit_resolution,[status(thm)],[34002, 34001, 33964])).
% 17.08/12.36 tff(34004,plain,
% 17.08/12.36 (((~![VarCurr: $i] : ((~v171(VarCurr)) | (~v170(VarCurr)))) | ((~v170(constB125)) | (~v171(constB125)))) <=> ((~![VarCurr: $i] : ((~v171(VarCurr)) | (~v170(VarCurr)))) | (~v170(constB125)) | (~v171(constB125)))),
% 17.08/12.36 inference(rewrite,[status(thm)],[])).
% 17.08/12.36 tff(34005,plain,
% 17.08/12.36 (((~v171(constB125)) | (~v170(constB125))) <=> ((~v170(constB125)) | (~v171(constB125)))),
% 17.08/12.36 inference(rewrite,[status(thm)],[])).
% 17.08/12.36 tff(34006,plain,
% 17.08/12.36 (((~![VarCurr: $i] : ((~v171(VarCurr)) | (~v170(VarCurr)))) | ((~v171(constB125)) | (~v170(constB125)))) <=> ((~![VarCurr: $i] : ((~v171(VarCurr)) | (~v170(VarCurr)))) | ((~v170(constB125)) | (~v171(constB125))))),
% 17.08/12.36 inference(monotonicity,[status(thm)],[34005])).
% 17.08/12.36 tff(34007,plain,
% 17.08/12.36 (((~![VarCurr: $i] : ((~v171(VarCurr)) | (~v170(VarCurr)))) | ((~v171(constB125)) | (~v170(constB125)))) <=> ((~![VarCurr: $i] : ((~v171(VarCurr)) | (~v170(VarCurr)))) | (~v170(constB125)) | (~v171(constB125)))),
% 17.08/12.36 inference(transitivity,[status(thm)],[34006, 34004])).
% 17.08/12.36 tff(34008,plain,
% 17.08/12.36 ((~![VarCurr: $i] : ((~v171(VarCurr)) | (~v170(VarCurr)))) | ((~v171(constB125)) | (~v170(constB125)))),
% 17.08/12.36 inference(quant_inst,[status(thm)],[])).
% 17.08/12.36 tff(34009,plain,
% 17.08/12.36 ((~![VarCurr: $i] : ((~v171(VarCurr)) | (~v170(VarCurr)))) | (~v170(constB125)) | (~v171(constB125))),
% 17.08/12.36 inference(modus_ponens,[status(thm)],[34008, 34007])).
% 17.08/12.36 tff(34010,plain,
% 17.08/12.36 ((~v170(constB125)) | (~v171(constB125))),
% 17.08/12.36 inference(unit_resolution,[status(thm)],[34009, 13061])).
% 17.08/12.36 tff(34011,plain,
% 17.08/12.36 (~v170(constB125)),
% 17.08/12.36 inference(unit_resolution,[status(thm)],[34010, 34003])).
% 17.08/12.36 tff(34012,plain,
% 17.08/12.36 ((~![VarCurr: $i] : (v166(VarCurr) <=> (v145(VarCurr) | v167(VarCurr)))) | (v166(constB125) <=> (v145(constB125) | v167(constB125)))),
% 17.08/12.36 inference(quant_inst,[status(thm)],[])).
% 17.08/12.36 tff(34013,plain,
% 17.08/12.36 (v166(constB125) <=> (v145(constB125) | v167(constB125))),
% 17.08/12.36 inference(unit_resolution,[status(thm)],[34012, 13079])).
% 17.08/12.36 tff(34014,plain,
% 17.08/12.36 ((~![VarCurr: $i] : (v167(VarCurr) <=> (v142(VarCurr) | v168(VarCurr)))) | (v167(constB125) <=> (v142(constB125) | v168(constB125)))),
% 17.08/12.36 inference(quant_inst,[status(thm)],[])).
% 17.08/12.36 tff(34015,plain,
% 17.08/12.36 (v167(constB125) <=> (v142(constB125) | v168(constB125))),
% 17.08/12.36 inference(unit_resolution,[status(thm)],[34014, 13091])).
% 17.08/12.36 tff(34016,plain,
% 17.08/12.36 ((v142(constB125) | v168(constB125)) | (~v142(constB125))),
% 17.08/12.36 inference(tautology,[status(thm)],[])).
% 17.08/12.36 tff(34017,plain,
% 17.08/12.36 (v142(constB125) | v168(constB125)),
% 17.08/12.36 inference(unit_resolution,[status(thm)],[34016, 33999])).
% 17.08/12.36 tff(34018,plain,
% 17.08/12.36 ((~(v167(constB125) <=> (v142(constB125) | v168(constB125)))) | v167(constB125) | (~(v142(constB125) | v168(constB125)))),
% 17.08/12.36 inference(tautology,[status(thm)],[])).
% 17.08/12.36 tff(34019,plain,
% 17.08/12.36 (v167(constB125)),
% 17.08/12.36 inference(unit_resolution,[status(thm)],[34018, 34017, 34015])).
% 17.08/12.36 tff(34020,plain,
% 17.08/12.36 ((v145(constB125) | v167(constB125)) | (~v167(constB125))),
% 17.08/12.36 inference(tautology,[status(thm)],[])).
% 17.08/12.36 tff(34021,plain,
% 17.08/12.36 (v145(constB125) | v167(constB125)),
% 17.08/12.36 inference(unit_resolution,[status(thm)],[34020, 34019])).
% 17.08/12.36 tff(34022,plain,
% 17.08/12.36 ((~(v166(constB125) <=> (v145(constB125) | v167(constB125)))) | v166(constB125) | (~(v145(constB125) | v167(constB125)))),
% 17.08/12.36 inference(tautology,[status(thm)],[])).
% 17.08/12.36 tff(34023,plain,
% 17.08/12.36 (v166(constB125)),
% 17.08/12.36 inference(unit_resolution,[status(thm)],[34022, 34021, 34013])).
% 17.08/12.36 tff(34024,plain,
% 17.08/12.36 (((~![VarNext: $i] : ((~v166(VarNext)) | (v163(VarNext) <=> v170(VarNext)))) | ((~v166(constB125)) | (v163(constB125) <=> v170(constB125)))) <=> ((~![VarNext: $i] : ((~v166(VarNext)) | (v163(VarNext) <=> v170(VarNext)))) | (~v166(constB125)) | (v163(constB125) <=> v170(constB125)))),
% 17.08/12.36 inference(rewrite,[status(thm)],[])).
% 17.08/12.36 tff(34025,plain,
% 17.08/12.36 ((~![VarNext: $i] : ((~v166(VarNext)) | (v163(VarNext) <=> v170(VarNext)))) | ((~v166(constB125)) | (v163(constB125) <=> v170(constB125)))),
% 17.08/12.36 inference(quant_inst,[status(thm)],[])).
% 17.08/12.36 tff(34026,plain,
% 17.08/12.36 ((~![VarNext: $i] : ((~v166(VarNext)) | (v163(VarNext) <=> v170(VarNext)))) | (~v166(constB125)) | (v163(constB125) <=> v170(constB125))),
% 17.08/12.37 inference(modus_ponens,[status(thm)],[34025, 34024])).
% 17.08/12.37 tff(34027,plain,
% 17.08/12.37 ((~v166(constB125)) | (v163(constB125) <=> v170(constB125))),
% 17.08/12.37 inference(unit_resolution,[status(thm)],[34026, 13111])).
% 17.08/12.37 tff(34028,plain,
% 17.08/12.37 (v163(constB125) <=> v170(constB125)),
% 17.08/12.37 inference(unit_resolution,[status(thm)],[34027, 34023])).
% 17.08/12.37 tff(34029,plain,
% 17.08/12.37 ((~(v163(constB125) <=> v170(constB125))) | (~v163(constB125)) | v170(constB125)),
% 17.08/12.37 inference(tautology,[status(thm)],[])).
% 17.08/12.37 tff(34030,plain,
% 17.08/12.37 (~v163(constB125)),
% 17.08/12.37 inference(unit_resolution,[status(thm)],[34029, 34028, 34011])).
% 17.08/12.37 tff(34031,plain,
% 17.08/12.37 ((~(v161(constB125) <=> v163(constB125))) | (~v161(constB125)) | v163(constB125)),
% 17.08/12.37 inference(tautology,[status(thm)],[])).
% 17.08/12.37 tff(34032,plain,
% 17.08/12.37 (~v161(constB125)),
% 17.08/12.37 inference(unit_resolution,[status(thm)],[34031, 34030, 33962])).
% 17.08/12.37 tff(34033,plain,
% 17.08/12.37 (((~v159(constB125)) | (~v161(constB125))) | v161(constB125)),
% 17.08/12.37 inference(tautology,[status(thm)],[])).
% 17.08/12.37 tff(34034,plain,
% 17.08/12.37 ((~v159(constB125)) | (~v161(constB125))),
% 17.08/12.37 inference(unit_resolution,[status(thm)],[34033, 34032])).
% 17.08/12.37 tff(34035,plain,
% 17.08/12.37 ((~(v201(constB125) <=> (~((~v159(constB125)) | (~v161(constB125)))))) | (~v201(constB125)) | (~((~v159(constB125)) | (~v161(constB125))))),
% 17.08/12.37 inference(tautology,[status(thm)],[])).
% 17.08/12.37 tff(34036,plain,
% 17.08/12.37 (~v201(constB125)),
% 17.08/12.37 inference(unit_resolution,[status(thm)],[34035, 34034, 33960])).
% 17.08/12.37 tff(34037,plain,
% 17.08/12.37 (((~v197(constB125)) | (~v201(constB125))) | v201(constB125)),
% 17.08/12.37 inference(tautology,[status(thm)],[])).
% 17.08/12.37 tff(34038,plain,
% 17.08/12.37 ((~v197(constB125)) | (~v201(constB125))),
% 17.08/12.37 inference(unit_resolution,[status(thm)],[34037, 34036])).
% 17.08/12.37 tff(34039,plain,
% 17.08/12.37 ((~(v200(constB125) <=> (~((~v197(constB125)) | (~v201(constB125)))))) | (~v200(constB125)) | (~((~v197(constB125)) | (~v201(constB125))))),
% 17.08/12.37 inference(tautology,[status(thm)],[])).
% 17.08/12.37 tff(34040,plain,
% 17.08/12.37 (~v200(constB125)),
% 17.08/12.37 inference(unit_resolution,[status(thm)],[34039, 34038, 33958])).
% 17.08/12.37 tff(34041,plain,
% 17.08/12.37 (((~v199(constB125)) | (~v200(constB125))) | v200(constB125)),
% 17.08/12.37 inference(tautology,[status(thm)],[])).
% 17.08/12.37 tff(34042,plain,
% 17.08/12.37 ((~v199(constB125)) | (~v200(constB125))),
% 17.08/12.37 inference(unit_resolution,[status(thm)],[34041, 34040])).
% 17.08/12.37 tff(34043,plain,
% 17.08/12.37 ((~(v198(constB125) <=> (~((~v199(constB125)) | (~v200(constB125)))))) | (~v198(constB125)) | (~((~v199(constB125)) | (~v200(constB125))))),
% 17.08/12.37 inference(tautology,[status(thm)],[])).
% 17.08/12.37 tff(34044,plain,
% 17.08/12.37 (~v198(constB125)),
% 17.08/12.37 inference(unit_resolution,[status(thm)],[34043, 34042, 33956])).
% 17.08/12.37 tff(34045,plain,
% 17.08/12.37 ((~(v194(constB125) | v198(constB125))) | v194(constB125) | v198(constB125)),
% 17.08/12.37 inference(tautology,[status(thm)],[])).
% 17.08/12.37 tff(34046,plain,
% 17.08/12.37 (~(v194(constB125) | v198(constB125))),
% 17.08/12.37 inference(unit_resolution,[status(thm)],[34045, 34044, 33954])).
% 17.08/12.37 tff(34047,plain,
% 17.08/12.37 ((~(v191(constB125) <=> (v194(constB125) | v198(constB125)))) | (~v191(constB125)) | (v194(constB125) | v198(constB125))),
% 17.08/12.37 inference(tautology,[status(thm)],[])).
% 17.08/12.37 tff(34048,plain,
% 17.08/12.37 (~v191(constB125)),
% 17.08/12.37 inference(unit_resolution,[status(thm)],[34047, 34046, 33881])).
% 17.08/12.37 tff(34049,plain,
% 17.08/12.37 ((~(v193(constB126) <=> v191(constB125))) | (~v193(constB126)) | v191(constB125)),
% 17.08/12.37 inference(tautology,[status(thm)],[])).
% 17.08/12.37 tff(34050,plain,
% 17.08/12.37 (~v193(constB126)),
% 17.08/12.37 inference(unit_resolution,[status(thm)],[34049, 34048, 33879])).
% 17.08/12.37 tff(34051,plain,
% 17.08/12.37 ((~(v157(constB126) <=> v193(constB126))) | (~v157(constB126)) | v193(constB126)),
% 17.08/12.37 inference(tautology,[status(thm)],[])).
% 17.08/12.37 tff(34052,plain,
% 17.08/12.37 (~v157(constB126)),
% 17.08/12.37 inference(unit_resolution,[status(thm)],[34051, 34050, 33875])).
% 17.08/12.37 tff(34053,plain,
% 17.08/12.37 (((~v157(constB126)) | (~v195(constB126))) | v157(constB126)),
% 17.08/12.37 inference(tautology,[status(thm)],[])).
% 17.08/12.37 tff(34054,plain,
% 17.08/12.37 ((~v157(constB126)) | (~v195(constB126))),
% 17.08/12.37 inference(unit_resolution,[status(thm)],[34053, 34052])).
% 17.08/12.37 tff(34055,plain,
% 17.08/12.37 ((~(v194(constB126) <=> (~((~v157(constB126)) | (~v195(constB126)))))) | (~v194(constB126)) | (~((~v157(constB126)) | (~v195(constB126))))),
% 17.08/12.37 inference(tautology,[status(thm)],[])).
% 17.08/12.37 tff(34056,plain,
% 17.08/12.37 (~v194(constB126)),
% 17.08/12.37 inference(unit_resolution,[status(thm)],[34055, 34054, 33873])).
% 17.08/12.37 tff(34057,plain,
% 17.08/12.37 ((~(v194(constB126) | v198(constB126))) | v194(constB126) | v198(constB126)),
% 17.08/12.37 inference(tautology,[status(thm)],[])).
% 17.08/12.37 tff(34058,plain,
% 17.08/12.37 (~(v194(constB126) | v198(constB126))),
% 17.08/12.37 inference(unit_resolution,[status(thm)],[34057, 34056, 33866])).
% 17.08/12.37 tff(34059,plain,
% 17.08/12.37 ((~(v191(constB126) <=> (v194(constB126) | v198(constB126)))) | (~v191(constB126)) | (v194(constB126) | v198(constB126))),
% 17.08/12.37 inference(tautology,[status(thm)],[])).
% 17.08/12.37 tff(34060,plain,
% 17.08/12.37 (~v191(constB126)),
% 17.08/12.37 inference(unit_resolution,[status(thm)],[34059, 34058, 33841])).
% 17.08/12.37 tff(34061,plain,
% 17.08/12.37 ((~(v193(constB127) <=> v191(constB126))) | (~v193(constB127)) | v191(constB126)),
% 17.08/12.37 inference(tautology,[status(thm)],[])).
% 17.08/12.37 tff(34062,plain,
% 17.08/12.37 (~v193(constB127)),
% 17.08/12.37 inference(unit_resolution,[status(thm)],[34061, 34060, 33839])).
% 17.08/12.37 tff(34063,plain,
% 17.08/12.37 ($false),
% 17.08/12.37 inference(unit_resolution,[status(thm)],[34062, 33835])).
% 17.08/12.37 tff(34064,plain,(~(constB127 = VarCurr!0)), inference(lemma,lemma(discharge,[]))).
% 17.08/12.37 tff(34065,assumption,(constB19 = VarCurr!0), introduced(assumption)).
% 17.08/12.37 tff(34066,plain,
% 17.08/12.37 (v86(constB19) <=> v86(VarCurr!0)),
% 17.08/12.37 inference(monotonicity,[status(thm)],[34065])).
% 17.08/12.37 tff(34067,plain,
% 17.08/12.37 (v86(VarCurr!0) <=> v86(constB19)),
% 17.08/12.37 inference(symmetry,[status(thm)],[34066])).
% 17.08/12.37 tff(34068,plain,
% 17.08/12.37 ((~v86(VarCurr!0)) <=> (~v86(constB19))),
% 17.08/12.37 inference(monotonicity,[status(thm)],[34067])).
% 17.08/12.37 tff(34069,plain,
% 17.08/12.37 (~v86(constB19)),
% 17.08/12.37 inference(modus_ponens,[status(thm)],[20649, 34068])).
% 17.08/12.37 tff(34070,plain,
% 17.08/12.37 ((~![VarCurr: $i] : (v142(VarCurr) <=> (v143(VarCurr) | v144(VarCurr)))) | (v142(constB19) <=> (v143(constB19) | v144(constB19)))),
% 17.08/12.37 inference(quant_inst,[status(thm)],[])).
% 17.08/12.37 tff(34071,plain,
% 17.08/12.37 (v142(constB19) <=> (v143(constB19) | v144(constB19))),
% 17.08/12.37 inference(unit_resolution,[status(thm)],[34070, 378])).
% 17.08/12.37 tff(34072,plain,
% 17.08/12.37 (((~![VarCurr: $i] : (v143(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)))))) | (v143(constB19) <=> (~(v88(constB19, bitIndex2) | (~v88(constB19, bitIndex1)) | v88(constB19, bitIndex0))))) <=> ((~![VarCurr: $i] : (v143(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)))))) | (v143(constB19) <=> (~(v88(constB19, bitIndex2) | (~v88(constB19, bitIndex1)) | v88(constB19, bitIndex0)))))),
% 17.08/12.37 inference(rewrite,[status(thm)],[])).
% 17.08/12.37 tff(34073,plain,
% 17.08/12.37 ((v143(constB19) <=> (~(v88(constB19, bitIndex0) | v88(constB19, bitIndex2) | (~v88(constB19, bitIndex1))))) <=> (v143(constB19) <=> (~(v88(constB19, bitIndex2) | (~v88(constB19, bitIndex1)) | v88(constB19, bitIndex0))))),
% 17.08/12.37 inference(rewrite,[status(thm)],[])).
% 17.08/12.37 tff(34074,plain,
% 17.08/12.37 (((~![VarCurr: $i] : (v143(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)))))) | (v143(constB19) <=> (~(v88(constB19, bitIndex0) | v88(constB19, bitIndex2) | (~v88(constB19, bitIndex1)))))) <=> ((~![VarCurr: $i] : (v143(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)))))) | (v143(constB19) <=> (~(v88(constB19, bitIndex2) | (~v88(constB19, bitIndex1)) | v88(constB19, bitIndex0)))))),
% 17.08/12.37 inference(monotonicity,[status(thm)],[34073])).
% 17.08/12.37 tff(34075,plain,
% 17.08/12.37 (((~![VarCurr: $i] : (v143(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)))))) | (v143(constB19) <=> (~(v88(constB19, bitIndex0) | v88(constB19, bitIndex2) | (~v88(constB19, bitIndex1)))))) <=> ((~![VarCurr: $i] : (v143(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)))))) | (v143(constB19) <=> (~(v88(constB19, bitIndex2) | (~v88(constB19, bitIndex1)) | v88(constB19, bitIndex0)))))),
% 17.08/12.37 inference(transitivity,[status(thm)],[34074, 34072])).
% 17.08/12.37 tff(34076,plain,
% 17.08/12.37 ((~![VarCurr: $i] : (v143(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)))))) | (v143(constB19) <=> (~(v88(constB19, bitIndex0) | v88(constB19, bitIndex2) | (~v88(constB19, bitIndex1)))))),
% 17.08/12.37 inference(quant_inst,[status(thm)],[])).
% 17.08/12.37 tff(34077,plain,
% 17.08/12.37 ((~![VarCurr: $i] : (v143(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)))))) | (v143(constB19) <=> (~(v88(constB19, bitIndex2) | (~v88(constB19, bitIndex1)) | v88(constB19, bitIndex0))))),
% 17.08/12.37 inference(modus_ponens,[status(thm)],[34076, 34075])).
% 17.08/12.37 tff(34078,plain,
% 17.08/12.37 (v143(constB19) <=> (~(v88(constB19, bitIndex2) | (~v88(constB19, bitIndex1)) | v88(constB19, bitIndex0)))),
% 17.08/12.37 inference(unit_resolution,[status(thm)],[34077, 20665])).
% 17.08/12.37 tff(34079,plain,
% 17.08/12.37 (((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | ((~less_3(bitIndex2)) | (v88(constB19, bitIndex2) <=> v90(constB19, bitIndex2)))) <=> ((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | (~less_3(bitIndex2)) | (v88(constB19, bitIndex2) <=> v90(constB19, bitIndex2)))),
% 17.08/12.37 inference(rewrite,[status(thm)],[])).
% 17.08/12.37 tff(34080,plain,
% 17.08/12.37 ((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | ((~less_3(bitIndex2)) | (v88(constB19, bitIndex2) <=> v90(constB19, bitIndex2)))),
% 17.08/12.37 inference(quant_inst,[status(thm)],[])).
% 17.08/12.37 tff(34081,plain,
% 17.08/12.37 ((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | (~less_3(bitIndex2)) | (v88(constB19, bitIndex2) <=> v90(constB19, bitIndex2))),
% 17.08/12.37 inference(modus_ponens,[status(thm)],[34080, 34079])).
% 17.08/12.37 tff(34082,plain,
% 17.08/12.37 (v88(constB19, bitIndex2) <=> v90(constB19, bitIndex2)),
% 17.08/12.37 inference(unit_resolution,[status(thm)],[34081, 413, 410])).
% 17.08/12.37 tff(34083,plain,
% 17.08/12.37 ((~(v88(constB19, bitIndex2) <=> v90(constB19, bitIndex2))) | (~v88(constB19, bitIndex2)) | v90(constB19, bitIndex2)),
% 17.08/12.37 inference(tautology,[status(thm)],[])).
% 17.08/12.37 tff(34084,plain,
% 17.08/12.37 (~v88(constB19, bitIndex2)),
% 17.08/12.37 inference(unit_resolution,[status(thm)],[34083, 6691, 34082])).
% 17.08/12.37 tff(34085,plain,
% 17.08/12.37 (((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | ((~less_3(bitIndex0)) | (v88(constB19, bitIndex0) <=> v90(constB19, bitIndex0)))) <=> ((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | (~less_3(bitIndex0)) | (v88(constB19, bitIndex0) <=> v90(constB19, bitIndex0)))),
% 17.08/12.37 inference(rewrite,[status(thm)],[])).
% 17.08/12.37 tff(34086,plain,
% 17.08/12.37 ((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | ((~less_3(bitIndex0)) | (v88(constB19, bitIndex0) <=> v90(constB19, bitIndex0)))),
% 17.08/12.37 inference(quant_inst,[status(thm)],[])).
% 17.08/12.37 tff(34087,plain,
% 17.08/12.37 ((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | (~less_3(bitIndex0)) | (v88(constB19, bitIndex0) <=> v90(constB19, bitIndex0))),
% 17.08/12.37 inference(modus_ponens,[status(thm)],[34086, 34085])).
% 17.08/12.37 tff(34088,plain,
% 17.08/12.37 (v88(constB19, bitIndex0) <=> v90(constB19, bitIndex0)),
% 17.08/12.37 inference(unit_resolution,[status(thm)],[34087, 5004, 410])).
% 17.08/12.37 tff(34089,plain,
% 17.08/12.37 ((~(v88(constB19, bitIndex0) <=> v90(constB19, bitIndex0))) | (~v88(constB19, bitIndex0)) | v90(constB19, bitIndex0)),
% 17.08/12.37 inference(tautology,[status(thm)],[])).
% 17.08/12.37 tff(34090,plain,
% 17.08/12.37 (~v88(constB19, bitIndex0)),
% 17.08/12.37 inference(unit_resolution,[status(thm)],[34089, 6722, 34088])).
% 17.08/12.37 tff(34091,plain,
% 17.08/12.37 (((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | ((~less_3(bitIndex1)) | (v88(constB19, bitIndex1) <=> v90(constB19, bitIndex1)))) <=> ((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | (~less_3(bitIndex1)) | (v88(constB19, bitIndex1) <=> v90(constB19, bitIndex1)))),
% 17.08/12.37 inference(rewrite,[status(thm)],[])).
% 17.08/12.37 tff(34092,plain,
% 17.08/12.37 ((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | ((~less_3(bitIndex1)) | (v88(constB19, bitIndex1) <=> v90(constB19, bitIndex1)))),
% 17.08/12.37 inference(quant_inst,[status(thm)],[])).
% 17.08/12.37 tff(34093,plain,
% 17.08/12.37 ((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | (~less_3(bitIndex1)) | (v88(constB19, bitIndex1) <=> v90(constB19, bitIndex1))),
% 17.08/12.37 inference(modus_ponens,[status(thm)],[34092, 34091])).
% 17.08/12.37 tff(34094,plain,
% 17.08/12.37 (v88(constB19, bitIndex1) <=> v90(constB19, bitIndex1)),
% 17.08/12.37 inference(unit_resolution,[status(thm)],[34093, 5017, 410])).
% 17.08/12.37 tff(34095,plain,
% 17.08/12.37 ((~(v88(constB19, bitIndex1) <=> v90(constB19, bitIndex1))) | v88(constB19, bitIndex1) | (~v90(constB19, bitIndex1))),
% 17.08/12.37 inference(tautology,[status(thm)],[])).
% 17.08/12.37 tff(34096,plain,
% 17.08/12.37 (v88(constB19, bitIndex1)),
% 17.08/12.37 inference(unit_resolution,[status(thm)],[34095, 6753, 34094])).
% 17.08/12.37 tff(34097,plain,
% 17.08/12.37 ((~(v88(constB19, bitIndex2) | (~v88(constB19, bitIndex1)) | v88(constB19, bitIndex0))) | v88(constB19, bitIndex2) | (~v88(constB19, bitIndex1)) | v88(constB19, bitIndex0)),
% 17.08/12.37 inference(tautology,[status(thm)],[])).
% 17.08/12.37 tff(34098,plain,
% 17.08/12.37 (~(v88(constB19, bitIndex2) | (~v88(constB19, bitIndex1)) | v88(constB19, bitIndex0))),
% 17.08/12.37 inference(unit_resolution,[status(thm)],[34097, 34096, 34090, 34084])).
% 17.08/12.37 tff(34099,plain,
% 17.08/12.37 ((~(v143(constB19) <=> (~(v88(constB19, bitIndex2) | (~v88(constB19, bitIndex1)) | v88(constB19, bitIndex0))))) | v143(constB19) | (v88(constB19, bitIndex2) | (~v88(constB19, bitIndex1)) | v88(constB19, bitIndex0))),
% 17.08/12.37 inference(tautology,[status(thm)],[])).
% 17.08/12.37 tff(34100,plain,
% 17.08/12.37 (v143(constB19)),
% 17.08/12.37 inference(unit_resolution,[status(thm)],[34099, 34098, 34078])).
% 17.08/12.37 tff(34101,plain,
% 17.08/12.37 ((v143(constB19) | v144(constB19)) | (~v143(constB19))),
% 17.08/12.37 inference(tautology,[status(thm)],[])).
% 17.08/12.37 tff(34102,plain,
% 17.08/12.37 (v143(constB19) | v144(constB19)),
% 17.08/12.37 inference(unit_resolution,[status(thm)],[34101, 34100])).
% 17.08/12.37 tff(34103,plain,
% 17.08/12.37 ((~(v142(constB19) <=> (v143(constB19) | v144(constB19)))) | v142(constB19) | (~(v143(constB19) | v144(constB19)))),
% 17.08/12.37 inference(tautology,[status(thm)],[])).
% 17.08/12.37 tff(34104,plain,
% 17.08/12.37 (v142(constB19)),
% 17.08/12.37 inference(unit_resolution,[status(thm)],[34103, 34102, 34071])).
% 17.08/12.37 tff(34105,plain,
% 17.08/12.37 (((~![VarCurr: $i] : (v148(VarCurr) | (~v142(VarCurr)))) | (v148(constB19) | (~v142(constB19)))) <=> ((~![VarCurr: $i] : (v148(VarCurr) | (~v142(VarCurr)))) | v148(constB19) | (~v142(constB19)))),
% 17.08/12.37 inference(rewrite,[status(thm)],[])).
% 17.08/12.37 tff(34106,plain,
% 17.08/12.37 ((~![VarCurr: $i] : (v148(VarCurr) | (~v142(VarCurr)))) | (v148(constB19) | (~v142(constB19)))),
% 17.08/12.37 inference(quant_inst,[status(thm)],[])).
% 17.08/12.37 tff(34107,plain,
% 17.08/12.37 ((~![VarCurr: $i] : (v148(VarCurr) | (~v142(VarCurr)))) | v148(constB19) | (~v142(constB19))),
% 17.08/12.37 inference(modus_ponens,[status(thm)],[34106, 34105])).
% 17.08/12.37 tff(34108,plain,
% 17.08/12.37 (v148(constB19) | (~v142(constB19))),
% 17.08/12.37 inference(unit_resolution,[status(thm)],[34107, 23525])).
% 17.08/12.37 tff(34109,plain,
% 17.08/12.37 (v148(constB19)),
% 17.08/12.37 inference(unit_resolution,[status(thm)],[34108, 34104])).
% 17.08/12.37 tff(34110,plain,
% 17.08/12.37 ((~![VarCurr: $i] : (v135(VarCurr) <=> (v136(VarCurr) | v145(VarCurr)))) | (v135(constB19) <=> (v136(constB19) | v145(constB19)))),
% 17.08/12.37 inference(quant_inst,[status(thm)],[])).
% 17.08/12.37 tff(34111,plain,
% 17.08/12.37 (v135(constB19) <=> (v136(constB19) | v145(constB19))),
% 17.08/12.37 inference(unit_resolution,[status(thm)],[34110, 23537])).
% 17.08/12.37 tff(34112,plain,
% 17.08/12.37 ((~![VarCurr: $i] : (v136(VarCurr) <=> (v137(VarCurr) | v142(VarCurr)))) | (v136(constB19) <=> (v137(constB19) | v142(constB19)))),
% 17.08/12.37 inference(quant_inst,[status(thm)],[])).
% 17.08/12.37 tff(34113,plain,
% 17.08/12.37 (v136(constB19) <=> (v137(constB19) | v142(constB19))),
% 17.08/12.37 inference(unit_resolution,[status(thm)],[34112, 23546])).
% 17.08/12.37 tff(34114,plain,
% 17.08/12.37 ((v137(constB19) | v142(constB19)) | (~v142(constB19))),
% 17.08/12.37 inference(tautology,[status(thm)],[])).
% 17.08/12.37 tff(34115,plain,
% 17.08/12.37 (v137(constB19) | v142(constB19)),
% 17.08/12.37 inference(unit_resolution,[status(thm)],[34114, 34104])).
% 17.08/12.37 tff(34116,plain,
% 17.08/12.37 ((~(v136(constB19) <=> (v137(constB19) | v142(constB19)))) | v136(constB19) | (~(v137(constB19) | v142(constB19)))),
% 17.08/12.37 inference(tautology,[status(thm)],[])).
% 17.08/12.37 tff(34117,plain,
% 17.08/12.37 (v136(constB19)),
% 17.08/12.37 inference(unit_resolution,[status(thm)],[34116, 34115, 34113])).
% 17.08/12.37 tff(34118,plain,
% 17.08/12.37 ((v136(constB19) | v145(constB19)) | (~v136(constB19))),
% 17.08/12.37 inference(tautology,[status(thm)],[])).
% 17.08/12.37 tff(34119,plain,
% 17.08/12.37 (v136(constB19) | v145(constB19)),
% 17.08/12.38 inference(unit_resolution,[status(thm)],[34118, 34117])).
% 17.08/12.38 tff(34120,plain,
% 17.08/12.38 ((~(v135(constB19) <=> (v136(constB19) | v145(constB19)))) | v135(constB19) | (~(v136(constB19) | v145(constB19)))),
% 17.08/12.38 inference(tautology,[status(thm)],[])).
% 17.08/12.38 tff(34121,plain,
% 17.08/12.38 (v135(constB19)),
% 17.08/12.38 inference(unit_resolution,[status(thm)],[34120, 34119, 34111])).
% 17.08/12.38 tff(34122,plain,
% 17.08/12.38 (((~![VarNext: $i] : ((~v135(VarNext)) | (v86(VarNext) <=> v148(VarNext)))) | ((~v135(constB19)) | (v86(constB19) <=> v148(constB19)))) <=> ((~![VarNext: $i] : ((~v135(VarNext)) | (v86(VarNext) <=> v148(VarNext)))) | (~v135(constB19)) | (v86(constB19) <=> v148(constB19)))),
% 17.08/12.38 inference(rewrite,[status(thm)],[])).
% 17.08/12.38 tff(34123,plain,
% 17.08/12.38 ((~![VarNext: $i] : ((~v135(VarNext)) | (v86(VarNext) <=> v148(VarNext)))) | ((~v135(constB19)) | (v86(constB19) <=> v148(constB19)))),
% 17.08/12.38 inference(quant_inst,[status(thm)],[])).
% 17.08/12.38 tff(34124,plain,
% 17.08/12.38 ((~![VarNext: $i] : ((~v135(VarNext)) | (v86(VarNext) <=> v148(VarNext)))) | (~v135(constB19)) | (v86(constB19) <=> v148(constB19))),
% 17.08/12.38 inference(modus_ponens,[status(thm)],[34123, 34122])).
% 17.08/12.38 tff(34125,plain,
% 17.08/12.38 ((~v135(constB19)) | (v86(constB19) <=> v148(constB19))),
% 17.08/12.38 inference(unit_resolution,[status(thm)],[34124, 23566])).
% 17.08/12.38 tff(34126,plain,
% 17.08/12.38 (v86(constB19) <=> v148(constB19)),
% 17.08/12.38 inference(unit_resolution,[status(thm)],[34125, 34121])).
% 17.08/12.38 tff(34127,plain,
% 17.08/12.38 ((~(v86(constB19) <=> v148(constB19))) | v86(constB19) | (~v148(constB19))),
% 17.08/12.38 inference(tautology,[status(thm)],[])).
% 17.08/12.38 tff(34128,plain,
% 17.08/12.38 (v86(constB19)),
% 17.08/12.38 inference(unit_resolution,[status(thm)],[34127, 34126, 34109])).
% 17.08/12.38 tff(34129,plain,
% 17.08/12.38 ($false),
% 17.08/12.38 inference(unit_resolution,[status(thm)],[34128, 34069])).
% 17.08/12.38 tff(34130,plain,(~(constB19 = VarCurr!0)), inference(lemma,lemma(discharge,[]))).
% 17.08/12.38 tff(34131,assumption,(constB9 = VarCurr!0), introduced(assumption)).
% 17.08/12.38 tff(34132,plain,
% 17.08/12.38 (v86(constB9) <=> v86(VarCurr!0)),
% 17.08/12.38 inference(monotonicity,[status(thm)],[34131])).
% 17.08/12.38 tff(34133,plain,
% 17.08/12.38 (v86(VarCurr!0) <=> v86(constB9)),
% 17.08/12.38 inference(symmetry,[status(thm)],[34132])).
% 17.08/12.38 tff(34134,plain,
% 17.08/12.38 ((~v86(VarCurr!0)) <=> (~v86(constB9))),
% 17.08/12.38 inference(monotonicity,[status(thm)],[34133])).
% 17.08/12.38 tff(34135,plain,
% 17.08/12.38 (~v86(constB9)),
% 17.08/12.38 inference(modus_ponens,[status(thm)],[20649, 34134])).
% 17.08/12.38 tff(34136,plain,
% 17.08/12.38 ((~![VarCurr: $i] : (v142(VarCurr) <=> (v143(VarCurr) | v144(VarCurr)))) | (v142(constB9) <=> (v143(constB9) | v144(constB9)))),
% 17.08/12.38 inference(quant_inst,[status(thm)],[])).
% 17.08/12.38 tff(34137,plain,
% 17.08/12.38 (v142(constB9) <=> (v143(constB9) | v144(constB9))),
% 17.08/12.38 inference(unit_resolution,[status(thm)],[34136, 378])).
% 17.08/12.38 tff(34138,plain,
% 17.08/12.38 (((~![VarCurr: $i] : (v143(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)))))) | (v143(constB9) <=> (~(v88(constB9, bitIndex2) | (~v88(constB9, bitIndex1)) | v88(constB9, bitIndex0))))) <=> ((~![VarCurr: $i] : (v143(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)))))) | (v143(constB9) <=> (~(v88(constB9, bitIndex2) | (~v88(constB9, bitIndex1)) | v88(constB9, bitIndex0)))))),
% 17.08/12.38 inference(rewrite,[status(thm)],[])).
% 17.08/12.38 tff(34139,plain,
% 17.08/12.38 ((v143(constB9) <=> (~(v88(constB9, bitIndex0) | v88(constB9, bitIndex2) | (~v88(constB9, bitIndex1))))) <=> (v143(constB9) <=> (~(v88(constB9, bitIndex2) | (~v88(constB9, bitIndex1)) | v88(constB9, bitIndex0))))),
% 17.08/12.38 inference(rewrite,[status(thm)],[])).
% 17.08/12.38 tff(34140,plain,
% 17.08/12.38 (((~![VarCurr: $i] : (v143(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)))))) | (v143(constB9) <=> (~(v88(constB9, bitIndex0) | v88(constB9, bitIndex2) | (~v88(constB9, bitIndex1)))))) <=> ((~![VarCurr: $i] : (v143(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)))))) | (v143(constB9) <=> (~(v88(constB9, bitIndex2) | (~v88(constB9, bitIndex1)) | v88(constB9, bitIndex0)))))),
% 17.08/12.38 inference(monotonicity,[status(thm)],[34139])).
% 17.08/12.38 tff(34141,plain,
% 17.08/12.38 (((~![VarCurr: $i] : (v143(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)))))) | (v143(constB9) <=> (~(v88(constB9, bitIndex0) | v88(constB9, bitIndex2) | (~v88(constB9, bitIndex1)))))) <=> ((~![VarCurr: $i] : (v143(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)))))) | (v143(constB9) <=> (~(v88(constB9, bitIndex2) | (~v88(constB9, bitIndex1)) | v88(constB9, bitIndex0)))))),
% 17.08/12.38 inference(transitivity,[status(thm)],[34140, 34138])).
% 17.08/12.38 tff(34142,plain,
% 17.08/12.38 ((~![VarCurr: $i] : (v143(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)))))) | (v143(constB9) <=> (~(v88(constB9, bitIndex0) | v88(constB9, bitIndex2) | (~v88(constB9, bitIndex1)))))),
% 17.08/12.38 inference(quant_inst,[status(thm)],[])).
% 17.08/12.38 tff(34143,plain,
% 17.08/12.38 ((~![VarCurr: $i] : (v143(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)))))) | (v143(constB9) <=> (~(v88(constB9, bitIndex2) | (~v88(constB9, bitIndex1)) | v88(constB9, bitIndex0))))),
% 17.08/12.38 inference(modus_ponens,[status(thm)],[34142, 34141])).
% 17.08/12.38 tff(34144,plain,
% 17.08/12.38 (v143(constB9) <=> (~(v88(constB9, bitIndex2) | (~v88(constB9, bitIndex1)) | v88(constB9, bitIndex0)))),
% 17.08/12.38 inference(unit_resolution,[status(thm)],[34143, 20665])).
% 17.08/12.38 tff(34145,plain,
% 17.08/12.38 (((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | ((~less_3(bitIndex2)) | (v88(constB9, bitIndex2) <=> v90(constB9, bitIndex2)))) <=> ((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | (~less_3(bitIndex2)) | (v88(constB9, bitIndex2) <=> v90(constB9, bitIndex2)))),
% 17.08/12.38 inference(rewrite,[status(thm)],[])).
% 17.08/12.38 tff(34146,plain,
% 17.08/12.38 ((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | ((~less_3(bitIndex2)) | (v88(constB9, bitIndex2) <=> v90(constB9, bitIndex2)))),
% 17.08/12.38 inference(quant_inst,[status(thm)],[])).
% 17.08/12.38 tff(34147,plain,
% 17.08/12.38 ((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | (~less_3(bitIndex2)) | (v88(constB9, bitIndex2) <=> v90(constB9, bitIndex2))),
% 17.08/12.38 inference(modus_ponens,[status(thm)],[34146, 34145])).
% 17.08/12.38 tff(34148,plain,
% 17.08/12.38 (v88(constB9, bitIndex2) <=> v90(constB9, bitIndex2)),
% 17.08/12.38 inference(unit_resolution,[status(thm)],[34147, 413, 410])).
% 17.08/12.38 tff(34149,plain,
% 17.08/12.38 ((~(v88(constB9, bitIndex2) <=> v90(constB9, bitIndex2))) | (~v88(constB9, bitIndex2)) | v90(constB9, bitIndex2)),
% 17.08/12.38 inference(tautology,[status(thm)],[])).
% 17.08/12.38 tff(34150,plain,
% 17.08/12.38 (~v88(constB9, bitIndex2)),
% 17.08/12.38 inference(unit_resolution,[status(thm)],[34149, 5820, 34148])).
% 17.08/12.38 tff(34151,plain,
% 17.08/12.38 (((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | ((~less_3(bitIndex0)) | (v88(constB9, bitIndex0) <=> v90(constB9, bitIndex0)))) <=> ((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | (~less_3(bitIndex0)) | (v88(constB9, bitIndex0) <=> v90(constB9, bitIndex0)))),
% 17.08/12.38 inference(rewrite,[status(thm)],[])).
% 17.08/12.38 tff(34152,plain,
% 17.08/12.38 ((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | ((~less_3(bitIndex0)) | (v88(constB9, bitIndex0) <=> v90(constB9, bitIndex0)))),
% 17.08/12.38 inference(quant_inst,[status(thm)],[])).
% 17.08/12.38 tff(34153,plain,
% 17.08/12.38 ((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | (~less_3(bitIndex0)) | (v88(constB9, bitIndex0) <=> v90(constB9, bitIndex0))),
% 17.08/12.38 inference(modus_ponens,[status(thm)],[34152, 34151])).
% 17.08/12.38 tff(34154,plain,
% 17.08/12.38 (v88(constB9, bitIndex0) <=> v90(constB9, bitIndex0)),
% 17.08/12.38 inference(unit_resolution,[status(thm)],[34153, 5004, 410])).
% 17.08/12.38 tff(34155,plain,
% 17.08/12.38 ((~(v88(constB9, bitIndex0) <=> v90(constB9, bitIndex0))) | (~v88(constB9, bitIndex0)) | v90(constB9, bitIndex0)),
% 17.08/12.38 inference(tautology,[status(thm)],[])).
% 17.08/12.38 tff(34156,plain,
% 17.08/12.38 (~v88(constB9, bitIndex0)),
% 17.08/12.38 inference(unit_resolution,[status(thm)],[34155, 5854, 34154])).
% 17.08/12.38 tff(34157,plain,
% 17.08/12.38 (((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | ((~less_3(bitIndex1)) | (v88(constB9, bitIndex1) <=> v90(constB9, bitIndex1)))) <=> ((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | (~less_3(bitIndex1)) | (v88(constB9, bitIndex1) <=> v90(constB9, bitIndex1)))),
% 17.18/12.38 inference(rewrite,[status(thm)],[])).
% 17.18/12.38 tff(34158,plain,
% 17.18/12.38 ((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | ((~less_3(bitIndex1)) | (v88(constB9, bitIndex1) <=> v90(constB9, bitIndex1)))),
% 17.18/12.38 inference(quant_inst,[status(thm)],[])).
% 17.18/12.38 tff(34159,plain,
% 17.18/12.38 ((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | (~less_3(bitIndex1)) | (v88(constB9, bitIndex1) <=> v90(constB9, bitIndex1))),
% 17.18/12.38 inference(modus_ponens,[status(thm)],[34158, 34157])).
% 17.18/12.38 tff(34160,plain,
% 17.18/12.38 (v88(constB9, bitIndex1) <=> v90(constB9, bitIndex1)),
% 17.18/12.38 inference(unit_resolution,[status(thm)],[34159, 5017, 410])).
% 17.18/12.38 tff(34161,plain,
% 17.18/12.38 ((~(v88(constB9, bitIndex1) <=> v90(constB9, bitIndex1))) | v88(constB9, bitIndex1) | (~v90(constB9, bitIndex1))),
% 17.18/12.38 inference(tautology,[status(thm)],[])).
% 17.18/12.38 tff(34162,plain,
% 17.18/12.38 (v88(constB9, bitIndex1)),
% 17.18/12.38 inference(unit_resolution,[status(thm)],[34161, 5888, 34160])).
% 17.18/12.38 tff(34163,plain,
% 17.18/12.38 ((~(v88(constB9, bitIndex2) | (~v88(constB9, bitIndex1)) | v88(constB9, bitIndex0))) | v88(constB9, bitIndex2) | (~v88(constB9, bitIndex1)) | v88(constB9, bitIndex0)),
% 17.18/12.38 inference(tautology,[status(thm)],[])).
% 17.18/12.38 tff(34164,plain,
% 17.18/12.38 (~(v88(constB9, bitIndex2) | (~v88(constB9, bitIndex1)) | v88(constB9, bitIndex0))),
% 17.18/12.38 inference(unit_resolution,[status(thm)],[34163, 34162, 34156, 34150])).
% 17.18/12.38 tff(34165,plain,
% 17.18/12.38 ((~(v143(constB9) <=> (~(v88(constB9, bitIndex2) | (~v88(constB9, bitIndex1)) | v88(constB9, bitIndex0))))) | v143(constB9) | (v88(constB9, bitIndex2) | (~v88(constB9, bitIndex1)) | v88(constB9, bitIndex0))),
% 17.18/12.38 inference(tautology,[status(thm)],[])).
% 17.18/12.38 tff(34166,plain,
% 17.18/12.38 (v143(constB9)),
% 17.18/12.38 inference(unit_resolution,[status(thm)],[34165, 34164, 34144])).
% 17.18/12.38 tff(34167,plain,
% 17.18/12.38 ((v143(constB9) | v144(constB9)) | (~v143(constB9))),
% 17.18/12.38 inference(tautology,[status(thm)],[])).
% 17.18/12.38 tff(34168,plain,
% 17.18/12.38 (v143(constB9) | v144(constB9)),
% 17.18/12.38 inference(unit_resolution,[status(thm)],[34167, 34166])).
% 17.18/12.38 tff(34169,plain,
% 17.18/12.38 ((~(v142(constB9) <=> (v143(constB9) | v144(constB9)))) | v142(constB9) | (~(v143(constB9) | v144(constB9)))),
% 17.18/12.38 inference(tautology,[status(thm)],[])).
% 17.18/12.38 tff(34170,plain,
% 17.18/12.38 (v142(constB9)),
% 17.18/12.38 inference(unit_resolution,[status(thm)],[34169, 34168, 34137])).
% 17.18/12.38 tff(34171,plain,
% 17.18/12.38 (((~![VarCurr: $i] : (v148(VarCurr) | (~v142(VarCurr)))) | (v148(constB9) | (~v142(constB9)))) <=> ((~![VarCurr: $i] : (v148(VarCurr) | (~v142(VarCurr)))) | v148(constB9) | (~v142(constB9)))),
% 17.18/12.38 inference(rewrite,[status(thm)],[])).
% 17.18/12.38 tff(34172,plain,
% 17.18/12.38 ((~![VarCurr: $i] : (v148(VarCurr) | (~v142(VarCurr)))) | (v148(constB9) | (~v142(constB9)))),
% 17.18/12.38 inference(quant_inst,[status(thm)],[])).
% 17.18/12.38 tff(34173,plain,
% 17.18/12.38 ((~![VarCurr: $i] : (v148(VarCurr) | (~v142(VarCurr)))) | v148(constB9) | (~v142(constB9))),
% 17.18/12.38 inference(modus_ponens,[status(thm)],[34172, 34171])).
% 17.18/12.38 tff(34174,plain,
% 17.18/12.38 (v148(constB9) | (~v142(constB9))),
% 17.18/12.38 inference(unit_resolution,[status(thm)],[34173, 23525])).
% 17.18/12.38 tff(34175,plain,
% 17.18/12.38 (v148(constB9)),
% 17.18/12.38 inference(unit_resolution,[status(thm)],[34174, 34170])).
% 17.18/12.38 tff(34176,plain,
% 17.18/12.38 ((~![VarCurr: $i] : (v135(VarCurr) <=> (v136(VarCurr) | v145(VarCurr)))) | (v135(constB9) <=> (v136(constB9) | v145(constB9)))),
% 17.18/12.38 inference(quant_inst,[status(thm)],[])).
% 17.18/12.38 tff(34177,plain,
% 17.18/12.38 (v135(constB9) <=> (v136(constB9) | v145(constB9))),
% 17.18/12.38 inference(unit_resolution,[status(thm)],[34176, 23537])).
% 17.18/12.38 tff(34178,plain,
% 17.18/12.38 ((~![VarCurr: $i] : (v136(VarCurr) <=> (v137(VarCurr) | v142(VarCurr)))) | (v136(constB9) <=> (v137(constB9) | v142(constB9)))),
% 17.18/12.38 inference(quant_inst,[status(thm)],[])).
% 17.18/12.38 tff(34179,plain,
% 17.18/12.38 (v136(constB9) <=> (v137(constB9) | v142(constB9))),
% 17.18/12.38 inference(unit_resolution,[status(thm)],[34178, 23546])).
% 17.18/12.38 tff(34180,plain,
% 17.18/12.38 ((v137(constB9) | v142(constB9)) | (~v142(constB9))),
% 17.18/12.38 inference(tautology,[status(thm)],[])).
% 17.18/12.38 tff(34181,plain,
% 17.18/12.38 (v137(constB9) | v142(constB9)),
% 17.18/12.38 inference(unit_resolution,[status(thm)],[34180, 34170])).
% 17.18/12.38 tff(34182,plain,
% 17.18/12.38 ((~(v136(constB9) <=> (v137(constB9) | v142(constB9)))) | v136(constB9) | (~(v137(constB9) | v142(constB9)))),
% 17.18/12.38 inference(tautology,[status(thm)],[])).
% 17.18/12.38 tff(34183,plain,
% 17.18/12.38 (v136(constB9)),
% 17.18/12.38 inference(unit_resolution,[status(thm)],[34182, 34181, 34179])).
% 17.18/12.38 tff(34184,plain,
% 17.18/12.38 ((v136(constB9) | v145(constB9)) | (~v136(constB9))),
% 17.18/12.38 inference(tautology,[status(thm)],[])).
% 17.18/12.38 tff(34185,plain,
% 17.18/12.38 (v136(constB9) | v145(constB9)),
% 17.18/12.38 inference(unit_resolution,[status(thm)],[34184, 34183])).
% 17.18/12.38 tff(34186,plain,
% 17.18/12.38 ((~(v135(constB9) <=> (v136(constB9) | v145(constB9)))) | v135(constB9) | (~(v136(constB9) | v145(constB9)))),
% 17.18/12.38 inference(tautology,[status(thm)],[])).
% 17.18/12.38 tff(34187,plain,
% 17.18/12.38 (v135(constB9)),
% 17.18/12.38 inference(unit_resolution,[status(thm)],[34186, 34185, 34177])).
% 17.18/12.38 tff(34188,plain,
% 17.18/12.38 (((~![VarNext: $i] : ((~v135(VarNext)) | (v86(VarNext) <=> v148(VarNext)))) | ((~v135(constB9)) | (v86(constB9) <=> v148(constB9)))) <=> ((~![VarNext: $i] : ((~v135(VarNext)) | (v86(VarNext) <=> v148(VarNext)))) | (~v135(constB9)) | (v86(constB9) <=> v148(constB9)))),
% 17.18/12.38 inference(rewrite,[status(thm)],[])).
% 17.18/12.38 tff(34189,plain,
% 17.18/12.38 ((~![VarNext: $i] : ((~v135(VarNext)) | (v86(VarNext) <=> v148(VarNext)))) | ((~v135(constB9)) | (v86(constB9) <=> v148(constB9)))),
% 17.18/12.38 inference(quant_inst,[status(thm)],[])).
% 17.18/12.38 tff(34190,plain,
% 17.18/12.38 ((~![VarNext: $i] : ((~v135(VarNext)) | (v86(VarNext) <=> v148(VarNext)))) | (~v135(constB9)) | (v86(constB9) <=> v148(constB9))),
% 17.18/12.38 inference(modus_ponens,[status(thm)],[34189, 34188])).
% 17.18/12.38 tff(34191,plain,
% 17.18/12.38 ((~v135(constB9)) | (v86(constB9) <=> v148(constB9))),
% 17.18/12.38 inference(unit_resolution,[status(thm)],[34190, 23566])).
% 17.18/12.38 tff(34192,plain,
% 17.18/12.38 (v86(constB9) <=> v148(constB9)),
% 17.18/12.38 inference(unit_resolution,[status(thm)],[34191, 34187])).
% 17.18/12.38 tff(34193,plain,
% 17.18/12.38 ((~(v86(constB9) <=> v148(constB9))) | v86(constB9) | (~v148(constB9))),
% 17.18/12.38 inference(tautology,[status(thm)],[])).
% 17.18/12.38 tff(34194,plain,
% 17.18/12.38 (v86(constB9)),
% 17.18/12.38 inference(unit_resolution,[status(thm)],[34193, 34192, 34175])).
% 17.18/12.38 tff(34195,plain,
% 17.18/12.38 ($false),
% 17.18/12.38 inference(unit_resolution,[status(thm)],[34194, 34135])).
% 17.18/12.38 tff(34196,plain,(~(constB9 = VarCurr!0)), inference(lemma,lemma(discharge,[]))).
% 17.18/12.38 tff(34197,assumption,(constB15 = VarCurr!0), introduced(assumption)).
% 17.18/12.38 tff(34198,plain,
% 17.18/12.38 (v86(constB15) <=> v86(VarCurr!0)),
% 17.18/12.38 inference(monotonicity,[status(thm)],[34197])).
% 17.18/12.38 tff(34199,plain,
% 17.18/12.38 (v86(VarCurr!0) <=> v86(constB15)),
% 17.18/12.38 inference(symmetry,[status(thm)],[34198])).
% 17.18/12.38 tff(34200,plain,
% 17.18/12.38 ((~v86(VarCurr!0)) <=> (~v86(constB15))),
% 17.18/12.38 inference(monotonicity,[status(thm)],[34199])).
% 17.18/12.38 tff(34201,plain,
% 17.18/12.38 (~v86(constB15)),
% 17.18/12.38 inference(modus_ponens,[status(thm)],[20649, 34200])).
% 17.18/12.38 tff(34202,plain,
% 17.18/12.38 ((~![VarCurr: $i] : (v142(VarCurr) <=> (v143(VarCurr) | v144(VarCurr)))) | (v142(constB15) <=> (v143(constB15) | v144(constB15)))),
% 17.18/12.38 inference(quant_inst,[status(thm)],[])).
% 17.18/12.38 tff(34203,plain,
% 17.18/12.38 (v142(constB15) <=> (v143(constB15) | v144(constB15))),
% 17.18/12.38 inference(unit_resolution,[status(thm)],[34202, 378])).
% 17.18/12.38 tff(34204,plain,
% 17.18/12.38 (((~![VarCurr: $i] : (v144(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex2)))))) | (v144(constB15) <=> (~((~v88(constB15, bitIndex2)) | (~v88(constB15, bitIndex1)) | v88(constB15, bitIndex0))))) <=> ((~![VarCurr: $i] : (v144(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex2)))))) | (v144(constB15) <=> (~((~v88(constB15, bitIndex2)) | (~v88(constB15, bitIndex1)) | v88(constB15, bitIndex0)))))),
% 17.18/12.38 inference(rewrite,[status(thm)],[])).
% 17.18/12.38 tff(34205,plain,
% 17.18/12.38 ((v144(constB15) <=> (~(v88(constB15, bitIndex0) | (~v88(constB15, bitIndex1)) | (~v88(constB15, bitIndex2))))) <=> (v144(constB15) <=> (~((~v88(constB15, bitIndex2)) | (~v88(constB15, bitIndex1)) | v88(constB15, bitIndex0))))),
% 17.18/12.38 inference(rewrite,[status(thm)],[])).
% 17.18/12.38 tff(34206,plain,
% 17.18/12.38 (((~![VarCurr: $i] : (v144(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex2)))))) | (v144(constB15) <=> (~(v88(constB15, bitIndex0) | (~v88(constB15, bitIndex1)) | (~v88(constB15, bitIndex2)))))) <=> ((~![VarCurr: $i] : (v144(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex2)))))) | (v144(constB15) <=> (~((~v88(constB15, bitIndex2)) | (~v88(constB15, bitIndex1)) | v88(constB15, bitIndex0)))))),
% 17.18/12.39 inference(monotonicity,[status(thm)],[34205])).
% 17.18/12.39 tff(34207,plain,
% 17.18/12.39 (((~![VarCurr: $i] : (v144(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex2)))))) | (v144(constB15) <=> (~(v88(constB15, bitIndex0) | (~v88(constB15, bitIndex1)) | (~v88(constB15, bitIndex2)))))) <=> ((~![VarCurr: $i] : (v144(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex2)))))) | (v144(constB15) <=> (~((~v88(constB15, bitIndex2)) | (~v88(constB15, bitIndex1)) | v88(constB15, bitIndex0)))))),
% 17.18/12.39 inference(transitivity,[status(thm)],[34206, 34204])).
% 17.18/12.39 tff(34208,plain,
% 17.18/12.39 ((~![VarCurr: $i] : (v144(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex2)))))) | (v144(constB15) <=> (~(v88(constB15, bitIndex0) | (~v88(constB15, bitIndex1)) | (~v88(constB15, bitIndex2)))))),
% 17.18/12.39 inference(quant_inst,[status(thm)],[])).
% 17.18/12.39 tff(34209,plain,
% 17.18/12.39 ((~![VarCurr: $i] : (v144(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex2)))))) | (v144(constB15) <=> (~((~v88(constB15, bitIndex2)) | (~v88(constB15, bitIndex1)) | v88(constB15, bitIndex0))))),
% 17.18/12.39 inference(modus_ponens,[status(thm)],[34208, 34207])).
% 17.18/12.39 tff(34210,plain,
% 17.18/12.39 (v144(constB15) <=> (~((~v88(constB15, bitIndex2)) | (~v88(constB15, bitIndex1)) | v88(constB15, bitIndex0)))),
% 17.18/12.39 inference(unit_resolution,[status(thm)],[34209, 393])).
% 17.18/12.39 tff(34211,plain,
% 17.18/12.39 (((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | ((~less_3(bitIndex2)) | (v88(constB15, bitIndex2) <=> v90(constB15, bitIndex2)))) <=> ((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | (~less_3(bitIndex2)) | (v88(constB15, bitIndex2) <=> v90(constB15, bitIndex2)))),
% 17.18/12.39 inference(rewrite,[status(thm)],[])).
% 17.18/12.39 tff(34212,plain,
% 17.18/12.39 ((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | ((~less_3(bitIndex2)) | (v88(constB15, bitIndex2) <=> v90(constB15, bitIndex2)))),
% 17.18/12.39 inference(quant_inst,[status(thm)],[])).
% 17.18/12.39 tff(34213,plain,
% 17.18/12.39 ((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | (~less_3(bitIndex2)) | (v88(constB15, bitIndex2) <=> v90(constB15, bitIndex2))),
% 17.18/12.39 inference(modus_ponens,[status(thm)],[34212, 34211])).
% 17.18/12.39 tff(34214,plain,
% 17.18/12.39 (v88(constB15, bitIndex2) <=> v90(constB15, bitIndex2)),
% 17.18/12.39 inference(unit_resolution,[status(thm)],[34213, 413, 410])).
% 17.18/12.39 tff(34215,plain,
% 17.18/12.39 ((~(v88(constB15, bitIndex2) <=> v90(constB15, bitIndex2))) | v88(constB15, bitIndex2) | (~v90(constB15, bitIndex2))),
% 17.18/12.39 inference(tautology,[status(thm)],[])).
% 17.18/12.39 tff(34216,plain,
% 17.18/12.39 (v88(constB15, bitIndex2)),
% 17.18/12.39 inference(unit_resolution,[status(thm)],[34215, 6323, 34214])).
% 17.18/12.39 tff(34217,plain,
% 17.18/12.39 (((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | ((~less_3(bitIndex0)) | (v88(constB15, bitIndex0) <=> v90(constB15, bitIndex0)))) <=> ((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | (~less_3(bitIndex0)) | (v88(constB15, bitIndex0) <=> v90(constB15, bitIndex0)))),
% 17.18/12.39 inference(rewrite,[status(thm)],[])).
% 17.18/12.39 tff(34218,plain,
% 17.18/12.39 ((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | ((~less_3(bitIndex0)) | (v88(constB15, bitIndex0) <=> v90(constB15, bitIndex0)))),
% 17.18/12.39 inference(quant_inst,[status(thm)],[])).
% 17.18/12.39 tff(34219,plain,
% 17.18/12.39 ((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | (~less_3(bitIndex0)) | (v88(constB15, bitIndex0) <=> v90(constB15, bitIndex0))),
% 17.18/12.39 inference(modus_ponens,[status(thm)],[34218, 34217])).
% 17.18/12.39 tff(34220,plain,
% 17.18/12.39 (v88(constB15, bitIndex0) <=> v90(constB15, bitIndex0)),
% 17.18/12.39 inference(unit_resolution,[status(thm)],[34219, 5004, 410])).
% 17.18/12.39 tff(34221,plain,
% 17.18/12.39 ((~(v88(constB15, bitIndex0) <=> v90(constB15, bitIndex0))) | (~v88(constB15, bitIndex0)) | v90(constB15, bitIndex0)),
% 17.18/12.39 inference(tautology,[status(thm)],[])).
% 17.18/12.39 tff(34222,plain,
% 17.18/12.39 (~v88(constB15, bitIndex0)),
% 17.18/12.39 inference(unit_resolution,[status(thm)],[34221, 6354, 34220])).
% 17.18/12.39 tff(34223,plain,
% 17.18/12.39 (((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | ((~less_3(bitIndex1)) | (v88(constB15, bitIndex1) <=> v90(constB15, bitIndex1)))) <=> ((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | (~less_3(bitIndex1)) | (v88(constB15, bitIndex1) <=> v90(constB15, bitIndex1)))),
% 17.18/12.39 inference(rewrite,[status(thm)],[])).
% 17.18/12.39 tff(34224,plain,
% 17.18/12.39 ((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | ((~less_3(bitIndex1)) | (v88(constB15, bitIndex1) <=> v90(constB15, bitIndex1)))),
% 17.18/12.39 inference(quant_inst,[status(thm)],[])).
% 17.18/12.39 tff(34225,plain,
% 17.18/12.39 ((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | (~less_3(bitIndex1)) | (v88(constB15, bitIndex1) <=> v90(constB15, bitIndex1))),
% 17.18/12.39 inference(modus_ponens,[status(thm)],[34224, 34223])).
% 17.18/12.39 tff(34226,plain,
% 17.18/12.39 (v88(constB15, bitIndex1) <=> v90(constB15, bitIndex1)),
% 17.18/12.39 inference(unit_resolution,[status(thm)],[34225, 5017, 410])).
% 17.18/12.39 tff(34227,plain,
% 17.18/12.39 ((~(v88(constB15, bitIndex1) <=> v90(constB15, bitIndex1))) | v88(constB15, bitIndex1) | (~v90(constB15, bitIndex1))),
% 17.18/12.39 inference(tautology,[status(thm)],[])).
% 17.18/12.39 tff(34228,plain,
% 17.18/12.39 (v88(constB15, bitIndex1)),
% 17.18/12.39 inference(unit_resolution,[status(thm)],[34227, 6385, 34226])).
% 17.18/12.39 tff(34229,plain,
% 17.18/12.39 ((~((~v88(constB15, bitIndex2)) | (~v88(constB15, bitIndex1)) | v88(constB15, bitIndex0))) | (~v88(constB15, bitIndex2)) | (~v88(constB15, bitIndex1)) | v88(constB15, bitIndex0)),
% 17.18/12.39 inference(tautology,[status(thm)],[])).
% 17.18/12.39 tff(34230,plain,
% 17.18/12.39 (~((~v88(constB15, bitIndex2)) | (~v88(constB15, bitIndex1)) | v88(constB15, bitIndex0))),
% 17.18/12.39 inference(unit_resolution,[status(thm)],[34229, 34228, 34222, 34216])).
% 17.18/12.39 tff(34231,plain,
% 17.18/12.39 ((~(v144(constB15) <=> (~((~v88(constB15, bitIndex2)) | (~v88(constB15, bitIndex1)) | v88(constB15, bitIndex0))))) | v144(constB15) | ((~v88(constB15, bitIndex2)) | (~v88(constB15, bitIndex1)) | v88(constB15, bitIndex0))),
% 17.18/12.39 inference(tautology,[status(thm)],[])).
% 17.18/12.39 tff(34232,plain,
% 17.18/12.39 (v144(constB15)),
% 17.18/12.39 inference(unit_resolution,[status(thm)],[34231, 34230, 34210])).
% 17.18/12.39 tff(34233,plain,
% 17.18/12.39 ((v143(constB15) | v144(constB15)) | (~v144(constB15))),
% 17.18/12.39 inference(tautology,[status(thm)],[])).
% 17.18/12.39 tff(34234,plain,
% 17.18/12.39 (v143(constB15) | v144(constB15)),
% 17.18/12.39 inference(unit_resolution,[status(thm)],[34233, 34232])).
% 17.18/12.39 tff(34235,plain,
% 17.18/12.39 ((~(v142(constB15) <=> (v143(constB15) | v144(constB15)))) | v142(constB15) | (~(v143(constB15) | v144(constB15)))),
% 17.18/12.39 inference(tautology,[status(thm)],[])).
% 17.18/12.39 tff(34236,plain,
% 17.18/12.39 (v142(constB15)),
% 17.18/12.39 inference(unit_resolution,[status(thm)],[34235, 34234, 34203])).
% 17.18/12.39 tff(34237,plain,
% 17.18/12.39 (((~![VarCurr: $i] : (v148(VarCurr) | (~v142(VarCurr)))) | (v148(constB15) | (~v142(constB15)))) <=> ((~![VarCurr: $i] : (v148(VarCurr) | (~v142(VarCurr)))) | v148(constB15) | (~v142(constB15)))),
% 17.18/12.39 inference(rewrite,[status(thm)],[])).
% 17.18/12.39 tff(34238,plain,
% 17.18/12.39 ((~![VarCurr: $i] : (v148(VarCurr) | (~v142(VarCurr)))) | (v148(constB15) | (~v142(constB15)))),
% 17.18/12.39 inference(quant_inst,[status(thm)],[])).
% 17.18/12.39 tff(34239,plain,
% 17.18/12.39 ((~![VarCurr: $i] : (v148(VarCurr) | (~v142(VarCurr)))) | v148(constB15) | (~v142(constB15))),
% 17.18/12.39 inference(modus_ponens,[status(thm)],[34238, 34237])).
% 17.18/12.39 tff(34240,plain,
% 17.18/12.39 (v148(constB15) | (~v142(constB15))),
% 17.18/12.39 inference(unit_resolution,[status(thm)],[34239, 23525])).
% 17.18/12.39 tff(34241,plain,
% 17.18/12.39 (v148(constB15)),
% 17.18/12.39 inference(unit_resolution,[status(thm)],[34240, 34236])).
% 17.18/12.39 tff(34242,plain,
% 17.18/12.39 ((~![VarCurr: $i] : (v135(VarCurr) <=> (v136(VarCurr) | v145(VarCurr)))) | (v135(constB15) <=> (v136(constB15) | v145(constB15)))),
% 17.18/12.39 inference(quant_inst,[status(thm)],[])).
% 17.18/12.39 tff(34243,plain,
% 17.18/12.39 (v135(constB15) <=> (v136(constB15) | v145(constB15))),
% 17.18/12.39 inference(unit_resolution,[status(thm)],[34242, 23537])).
% 17.18/12.39 tff(34244,plain,
% 17.18/12.39 ((~![VarCurr: $i] : (v136(VarCurr) <=> (v137(VarCurr) | v142(VarCurr)))) | (v136(constB15) <=> (v137(constB15) | v142(constB15)))),
% 17.18/12.39 inference(quant_inst,[status(thm)],[])).
% 17.18/12.39 tff(34245,plain,
% 17.18/12.39 (v136(constB15) <=> (v137(constB15) | v142(constB15))),
% 17.18/12.39 inference(unit_resolution,[status(thm)],[34244, 23546])).
% 17.18/12.39 tff(34246,plain,
% 17.18/12.39 ((v137(constB15) | v142(constB15)) | (~v142(constB15))),
% 17.18/12.39 inference(tautology,[status(thm)],[])).
% 17.18/12.39 tff(34247,plain,
% 17.18/12.39 (v137(constB15) | v142(constB15)),
% 17.18/12.39 inference(unit_resolution,[status(thm)],[34246, 34236])).
% 17.18/12.39 tff(34248,plain,
% 17.18/12.39 ((~(v136(constB15) <=> (v137(constB15) | v142(constB15)))) | v136(constB15) | (~(v137(constB15) | v142(constB15)))),
% 17.18/12.39 inference(tautology,[status(thm)],[])).
% 17.18/12.39 tff(34249,plain,
% 17.18/12.39 (v136(constB15)),
% 17.18/12.39 inference(unit_resolution,[status(thm)],[34248, 34247, 34245])).
% 17.18/12.39 tff(34250,plain,
% 17.18/12.39 ((v136(constB15) | v145(constB15)) | (~v136(constB15))),
% 17.18/12.39 inference(tautology,[status(thm)],[])).
% 17.18/12.39 tff(34251,plain,
% 17.18/12.39 (v136(constB15) | v145(constB15)),
% 17.18/12.39 inference(unit_resolution,[status(thm)],[34250, 34249])).
% 17.18/12.39 tff(34252,plain,
% 17.18/12.39 ((~(v135(constB15) <=> (v136(constB15) | v145(constB15)))) | v135(constB15) | (~(v136(constB15) | v145(constB15)))),
% 17.18/12.39 inference(tautology,[status(thm)],[])).
% 17.18/12.39 tff(34253,plain,
% 17.18/12.39 (v135(constB15)),
% 17.18/12.39 inference(unit_resolution,[status(thm)],[34252, 34251, 34243])).
% 17.18/12.39 tff(34254,plain,
% 17.18/12.39 (((~![VarNext: $i] : ((~v135(VarNext)) | (v86(VarNext) <=> v148(VarNext)))) | ((~v135(constB15)) | (v86(constB15) <=> v148(constB15)))) <=> ((~![VarNext: $i] : ((~v135(VarNext)) | (v86(VarNext) <=> v148(VarNext)))) | (~v135(constB15)) | (v86(constB15) <=> v148(constB15)))),
% 17.18/12.39 inference(rewrite,[status(thm)],[])).
% 17.18/12.39 tff(34255,plain,
% 17.18/12.39 ((~![VarNext: $i] : ((~v135(VarNext)) | (v86(VarNext) <=> v148(VarNext)))) | ((~v135(constB15)) | (v86(constB15) <=> v148(constB15)))),
% 17.18/12.39 inference(quant_inst,[status(thm)],[])).
% 17.18/12.39 tff(34256,plain,
% 17.18/12.39 ((~![VarNext: $i] : ((~v135(VarNext)) | (v86(VarNext) <=> v148(VarNext)))) | (~v135(constB15)) | (v86(constB15) <=> v148(constB15))),
% 17.18/12.39 inference(modus_ponens,[status(thm)],[34255, 34254])).
% 17.18/12.39 tff(34257,plain,
% 17.18/12.39 ((~v135(constB15)) | (v86(constB15) <=> v148(constB15))),
% 17.18/12.39 inference(unit_resolution,[status(thm)],[34256, 23566])).
% 17.18/12.39 tff(34258,plain,
% 17.18/12.39 (v86(constB15) <=> v148(constB15)),
% 17.18/12.39 inference(unit_resolution,[status(thm)],[34257, 34253])).
% 17.18/12.39 tff(34259,plain,
% 17.18/12.39 ((~(v86(constB15) <=> v148(constB15))) | v86(constB15) | (~v148(constB15))),
% 17.18/12.39 inference(tautology,[status(thm)],[])).
% 17.18/12.39 tff(34260,plain,
% 17.18/12.39 (v86(constB15)),
% 17.18/12.39 inference(unit_resolution,[status(thm)],[34259, 34258, 34241])).
% 17.18/12.39 tff(34261,plain,
% 17.18/12.39 ($false),
% 17.18/12.39 inference(unit_resolution,[status(thm)],[34260, 34201])).
% 17.18/12.39 tff(34262,plain,(~(constB15 = VarCurr!0)), inference(lemma,lemma(discharge,[]))).
% 17.18/12.39 tff(34263,assumption,(constB175 = VarCurr!0), introduced(assumption)).
% 17.18/12.39 tff(34264,plain,
% 17.18/12.39 (v86(constB175) <=> v86(VarCurr!0)),
% 17.18/12.39 inference(monotonicity,[status(thm)],[34263])).
% 17.18/12.39 tff(34265,plain,
% 17.18/12.39 (v86(VarCurr!0) <=> v86(constB175)),
% 17.18/12.39 inference(symmetry,[status(thm)],[34264])).
% 17.18/12.39 tff(34266,plain,
% 17.18/12.39 ((~v86(VarCurr!0)) <=> (~v86(constB175))),
% 17.18/12.39 inference(monotonicity,[status(thm)],[34265])).
% 17.18/12.39 tff(34267,plain,
% 17.18/12.39 (~v86(constB175)),
% 17.18/12.39 inference(modus_ponens,[status(thm)],[20649, 34266])).
% 17.18/12.39 tff(34268,plain,
% 17.18/12.39 ((~![VarCurr: $i] : (v142(VarCurr) <=> (v143(VarCurr) | v144(VarCurr)))) | (v142(constB175) <=> (v143(constB175) | v144(constB175)))),
% 17.18/12.39 inference(quant_inst,[status(thm)],[])).
% 17.18/12.39 tff(34269,plain,
% 17.18/12.39 (v142(constB175) <=> (v143(constB175) | v144(constB175))),
% 17.18/12.39 inference(unit_resolution,[status(thm)],[34268, 378])).
% 17.18/12.39 tff(34270,plain,
% 17.18/12.39 (((~![VarCurr: $i] : (v144(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex2)))))) | (v144(constB175) <=> (~((~v88(constB175, bitIndex2)) | (~v88(constB175, bitIndex1)) | v88(constB175, bitIndex0))))) <=> ((~![VarCurr: $i] : (v144(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex2)))))) | (v144(constB175) <=> (~((~v88(constB175, bitIndex2)) | (~v88(constB175, bitIndex1)) | v88(constB175, bitIndex0)))))),
% 17.18/12.39 inference(rewrite,[status(thm)],[])).
% 17.18/12.39 tff(34271,plain,
% 17.18/12.39 ((v144(constB175) <=> (~(v88(constB175, bitIndex0) | (~v88(constB175, bitIndex1)) | (~v88(constB175, bitIndex2))))) <=> (v144(constB175) <=> (~((~v88(constB175, bitIndex2)) | (~v88(constB175, bitIndex1)) | v88(constB175, bitIndex0))))),
% 17.18/12.39 inference(rewrite,[status(thm)],[])).
% 17.18/12.39 tff(34272,plain,
% 17.18/12.39 (((~![VarCurr: $i] : (v144(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex2)))))) | (v144(constB175) <=> (~(v88(constB175, bitIndex0) | (~v88(constB175, bitIndex1)) | (~v88(constB175, bitIndex2)))))) <=> ((~![VarCurr: $i] : (v144(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex2)))))) | (v144(constB175) <=> (~((~v88(constB175, bitIndex2)) | (~v88(constB175, bitIndex1)) | v88(constB175, bitIndex0)))))),
% 17.18/12.39 inference(monotonicity,[status(thm)],[34271])).
% 17.18/12.39 tff(34273,plain,
% 17.18/12.39 (((~![VarCurr: $i] : (v144(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex2)))))) | (v144(constB175) <=> (~(v88(constB175, bitIndex0) | (~v88(constB175, bitIndex1)) | (~v88(constB175, bitIndex2)))))) <=> ((~![VarCurr: $i] : (v144(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex2)))))) | (v144(constB175) <=> (~((~v88(constB175, bitIndex2)) | (~v88(constB175, bitIndex1)) | v88(constB175, bitIndex0)))))),
% 17.18/12.39 inference(transitivity,[status(thm)],[34272, 34270])).
% 17.18/12.39 tff(34274,plain,
% 17.18/12.39 ((~![VarCurr: $i] : (v144(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex2)))))) | (v144(constB175) <=> (~(v88(constB175, bitIndex0) | (~v88(constB175, bitIndex1)) | (~v88(constB175, bitIndex2)))))),
% 17.18/12.39 inference(quant_inst,[status(thm)],[])).
% 17.18/12.39 tff(34275,plain,
% 17.18/12.39 ((~![VarCurr: $i] : (v144(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex2)))))) | (v144(constB175) <=> (~((~v88(constB175, bitIndex2)) | (~v88(constB175, bitIndex1)) | v88(constB175, bitIndex0))))),
% 17.18/12.39 inference(modus_ponens,[status(thm)],[34274, 34273])).
% 17.18/12.39 tff(34276,plain,
% 17.18/12.39 (v144(constB175) <=> (~((~v88(constB175, bitIndex2)) | (~v88(constB175, bitIndex1)) | v88(constB175, bitIndex0)))),
% 17.18/12.39 inference(unit_resolution,[status(thm)],[34275, 393])).
% 17.18/12.39 tff(34277,plain,
% 17.18/12.39 (((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | ((~less_3(bitIndex2)) | (v88(constB175, bitIndex2) <=> v90(constB175, bitIndex2)))) <=> ((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | (~less_3(bitIndex2)) | (v88(constB175, bitIndex2) <=> v90(constB175, bitIndex2)))),
% 17.18/12.39 inference(rewrite,[status(thm)],[])).
% 17.18/12.39 tff(34278,plain,
% 17.18/12.39 ((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | ((~less_3(bitIndex2)) | (v88(constB175, bitIndex2) <=> v90(constB175, bitIndex2)))),
% 17.18/12.39 inference(quant_inst,[status(thm)],[])).
% 17.18/12.39 tff(34279,plain,
% 17.18/12.39 ((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | (~less_3(bitIndex2)) | (v88(constB175, bitIndex2) <=> v90(constB175, bitIndex2))),
% 17.18/12.39 inference(modus_ponens,[status(thm)],[34278, 34277])).
% 17.18/12.39 tff(34280,plain,
% 17.18/12.39 (v88(constB175, bitIndex2) <=> v90(constB175, bitIndex2)),
% 17.18/12.39 inference(unit_resolution,[status(thm)],[34279, 413, 410])).
% 17.18/12.39 tff(34281,plain,
% 17.18/12.39 ((~(v88(constB175, bitIndex2) <=> v90(constB175, bitIndex2))) | v88(constB175, bitIndex2) | (~v90(constB175, bitIndex2))),
% 17.18/12.39 inference(tautology,[status(thm)],[])).
% 17.18/12.39 tff(34282,plain,
% 17.18/12.39 (v88(constB175, bitIndex2)),
% 17.18/12.39 inference(unit_resolution,[status(thm)],[34281, 25431, 34280])).
% 17.18/12.39 tff(34283,plain,
% 17.18/12.39 (((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | ((~less_3(bitIndex0)) | (v88(constB175, bitIndex0) <=> v90(constB175, bitIndex0)))) <=> ((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | (~less_3(bitIndex0)) | (v88(constB175, bitIndex0) <=> v90(constB175, bitIndex0)))),
% 17.19/12.40 inference(rewrite,[status(thm)],[])).
% 17.19/12.40 tff(34284,plain,
% 17.19/12.40 ((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | ((~less_3(bitIndex0)) | (v88(constB175, bitIndex0) <=> v90(constB175, bitIndex0)))),
% 17.19/12.40 inference(quant_inst,[status(thm)],[])).
% 17.19/12.40 tff(34285,plain,
% 17.19/12.40 ((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | (~less_3(bitIndex0)) | (v88(constB175, bitIndex0) <=> v90(constB175, bitIndex0))),
% 17.19/12.40 inference(modus_ponens,[status(thm)],[34284, 34283])).
% 17.19/12.40 tff(34286,plain,
% 17.19/12.40 (v88(constB175, bitIndex0) <=> v90(constB175, bitIndex0)),
% 17.19/12.40 inference(unit_resolution,[status(thm)],[34285, 5004, 410])).
% 17.19/12.40 tff(34287,plain,
% 17.19/12.40 ((~(v88(constB175, bitIndex0) <=> v90(constB175, bitIndex0))) | (~v88(constB175, bitIndex0)) | v90(constB175, bitIndex0)),
% 17.19/12.40 inference(tautology,[status(thm)],[])).
% 17.19/12.40 tff(34288,plain,
% 17.19/12.40 (~v88(constB175, bitIndex0)),
% 17.19/12.40 inference(unit_resolution,[status(thm)],[34287, 25462, 34286])).
% 17.19/12.40 tff(34289,plain,
% 17.19/12.40 (((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | ((~less_3(bitIndex1)) | (v88(constB175, bitIndex1) <=> v90(constB175, bitIndex1)))) <=> ((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | (~less_3(bitIndex1)) | (v88(constB175, bitIndex1) <=> v90(constB175, bitIndex1)))),
% 17.19/12.40 inference(rewrite,[status(thm)],[])).
% 17.19/12.40 tff(34290,plain,
% 17.19/12.40 ((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | ((~less_3(bitIndex1)) | (v88(constB175, bitIndex1) <=> v90(constB175, bitIndex1)))),
% 17.19/12.40 inference(quant_inst,[status(thm)],[])).
% 17.19/12.40 tff(34291,plain,
% 17.19/12.40 ((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | (~less_3(bitIndex1)) | (v88(constB175, bitIndex1) <=> v90(constB175, bitIndex1))),
% 17.19/12.40 inference(modus_ponens,[status(thm)],[34290, 34289])).
% 17.19/12.40 tff(34292,plain,
% 17.19/12.40 (v88(constB175, bitIndex1) <=> v90(constB175, bitIndex1)),
% 17.19/12.40 inference(unit_resolution,[status(thm)],[34291, 5017, 410])).
% 17.19/12.40 tff(34293,plain,
% 17.19/12.40 ((~(v88(constB175, bitIndex1) <=> v90(constB175, bitIndex1))) | v88(constB175, bitIndex1) | (~v90(constB175, bitIndex1))),
% 17.19/12.40 inference(tautology,[status(thm)],[])).
% 17.19/12.40 tff(34294,plain,
% 17.19/12.40 (v88(constB175, bitIndex1)),
% 17.19/12.40 inference(unit_resolution,[status(thm)],[34293, 25493, 34292])).
% 17.19/12.40 tff(34295,plain,
% 17.19/12.40 ((~((~v88(constB175, bitIndex2)) | (~v88(constB175, bitIndex1)) | v88(constB175, bitIndex0))) | (~v88(constB175, bitIndex2)) | (~v88(constB175, bitIndex1)) | v88(constB175, bitIndex0)),
% 17.19/12.40 inference(tautology,[status(thm)],[])).
% 17.19/12.40 tff(34296,plain,
% 17.19/12.40 (~((~v88(constB175, bitIndex2)) | (~v88(constB175, bitIndex1)) | v88(constB175, bitIndex0))),
% 17.19/12.40 inference(unit_resolution,[status(thm)],[34295, 34294, 34288, 34282])).
% 17.19/12.40 tff(34297,plain,
% 17.19/12.40 ((~(v144(constB175) <=> (~((~v88(constB175, bitIndex2)) | (~v88(constB175, bitIndex1)) | v88(constB175, bitIndex0))))) | v144(constB175) | ((~v88(constB175, bitIndex2)) | (~v88(constB175, bitIndex1)) | v88(constB175, bitIndex0))),
% 17.19/12.40 inference(tautology,[status(thm)],[])).
% 17.19/12.40 tff(34298,plain,
% 17.19/12.40 (v144(constB175)),
% 17.19/12.40 inference(unit_resolution,[status(thm)],[34297, 34296, 34276])).
% 17.19/12.40 tff(34299,plain,
% 17.19/12.40 ((v143(constB175) | v144(constB175)) | (~v144(constB175))),
% 17.19/12.40 inference(tautology,[status(thm)],[])).
% 17.19/12.40 tff(34300,plain,
% 17.19/12.40 (v143(constB175) | v144(constB175)),
% 17.19/12.40 inference(unit_resolution,[status(thm)],[34299, 34298])).
% 17.19/12.40 tff(34301,plain,
% 17.19/12.40 ((~(v142(constB175) <=> (v143(constB175) | v144(constB175)))) | v142(constB175) | (~(v143(constB175) | v144(constB175)))),
% 17.19/12.40 inference(tautology,[status(thm)],[])).
% 17.19/12.40 tff(34302,plain,
% 17.19/12.40 (v142(constB175)),
% 17.19/12.40 inference(unit_resolution,[status(thm)],[34301, 34300, 34269])).
% 17.19/12.40 tff(34303,plain,
% 17.19/12.40 (((~![VarCurr: $i] : (v148(VarCurr) | (~v142(VarCurr)))) | (v148(constB175) | (~v142(constB175)))) <=> ((~![VarCurr: $i] : (v148(VarCurr) | (~v142(VarCurr)))) | v148(constB175) | (~v142(constB175)))),
% 17.19/12.40 inference(rewrite,[status(thm)],[])).
% 17.19/12.40 tff(34304,plain,
% 17.19/12.40 ((~![VarCurr: $i] : (v148(VarCurr) | (~v142(VarCurr)))) | (v148(constB175) | (~v142(constB175)))),
% 17.19/12.40 inference(quant_inst,[status(thm)],[])).
% 17.19/12.40 tff(34305,plain,
% 17.19/12.40 ((~![VarCurr: $i] : (v148(VarCurr) | (~v142(VarCurr)))) | v148(constB175) | (~v142(constB175))),
% 17.19/12.40 inference(modus_ponens,[status(thm)],[34304, 34303])).
% 17.19/12.40 tff(34306,plain,
% 17.19/12.40 (v148(constB175) | (~v142(constB175))),
% 17.19/12.40 inference(unit_resolution,[status(thm)],[34305, 23525])).
% 17.19/12.40 tff(34307,plain,
% 17.19/12.40 (v148(constB175)),
% 17.19/12.40 inference(unit_resolution,[status(thm)],[34306, 34302])).
% 17.19/12.40 tff(34308,plain,
% 17.19/12.40 ((~![VarCurr: $i] : (v135(VarCurr) <=> (v136(VarCurr) | v145(VarCurr)))) | (v135(constB175) <=> (v136(constB175) | v145(constB175)))),
% 17.19/12.40 inference(quant_inst,[status(thm)],[])).
% 17.19/12.40 tff(34309,plain,
% 17.19/12.40 (v135(constB175) <=> (v136(constB175) | v145(constB175))),
% 17.19/12.40 inference(unit_resolution,[status(thm)],[34308, 23537])).
% 17.19/12.40 tff(34310,plain,
% 17.19/12.40 ((~![VarCurr: $i] : (v136(VarCurr) <=> (v137(VarCurr) | v142(VarCurr)))) | (v136(constB175) <=> (v137(constB175) | v142(constB175)))),
% 17.19/12.40 inference(quant_inst,[status(thm)],[])).
% 17.19/12.40 tff(34311,plain,
% 17.19/12.40 (v136(constB175) <=> (v137(constB175) | v142(constB175))),
% 17.19/12.40 inference(unit_resolution,[status(thm)],[34310, 23546])).
% 17.19/12.40 tff(34312,plain,
% 17.19/12.40 ((v137(constB175) | v142(constB175)) | (~v142(constB175))),
% 17.19/12.40 inference(tautology,[status(thm)],[])).
% 17.19/12.40 tff(34313,plain,
% 17.19/12.40 (v137(constB175) | v142(constB175)),
% 17.19/12.40 inference(unit_resolution,[status(thm)],[34312, 34302])).
% 17.19/12.40 tff(34314,plain,
% 17.19/12.40 ((~(v136(constB175) <=> (v137(constB175) | v142(constB175)))) | v136(constB175) | (~(v137(constB175) | v142(constB175)))),
% 17.19/12.40 inference(tautology,[status(thm)],[])).
% 17.19/12.40 tff(34315,plain,
% 17.19/12.40 (v136(constB175)),
% 17.19/12.40 inference(unit_resolution,[status(thm)],[34314, 34313, 34311])).
% 17.19/12.40 tff(34316,plain,
% 17.19/12.40 ((v136(constB175) | v145(constB175)) | (~v136(constB175))),
% 17.19/12.40 inference(tautology,[status(thm)],[])).
% 17.19/12.40 tff(34317,plain,
% 17.19/12.40 (v136(constB175) | v145(constB175)),
% 17.19/12.40 inference(unit_resolution,[status(thm)],[34316, 34315])).
% 17.19/12.40 tff(34318,plain,
% 17.19/12.40 ((~(v135(constB175) <=> (v136(constB175) | v145(constB175)))) | v135(constB175) | (~(v136(constB175) | v145(constB175)))),
% 17.19/12.40 inference(tautology,[status(thm)],[])).
% 17.19/12.40 tff(34319,plain,
% 17.19/12.40 (v135(constB175)),
% 17.19/12.40 inference(unit_resolution,[status(thm)],[34318, 34317, 34309])).
% 17.19/12.40 tff(34320,plain,
% 17.19/12.40 (((~![VarNext: $i] : ((~v135(VarNext)) | (v86(VarNext) <=> v148(VarNext)))) | ((~v135(constB175)) | (v86(constB175) <=> v148(constB175)))) <=> ((~![VarNext: $i] : ((~v135(VarNext)) | (v86(VarNext) <=> v148(VarNext)))) | (~v135(constB175)) | (v86(constB175) <=> v148(constB175)))),
% 17.19/12.40 inference(rewrite,[status(thm)],[])).
% 17.19/12.40 tff(34321,plain,
% 17.19/12.40 ((~![VarNext: $i] : ((~v135(VarNext)) | (v86(VarNext) <=> v148(VarNext)))) | ((~v135(constB175)) | (v86(constB175) <=> v148(constB175)))),
% 17.19/12.40 inference(quant_inst,[status(thm)],[])).
% 17.19/12.40 tff(34322,plain,
% 17.19/12.40 ((~![VarNext: $i] : ((~v135(VarNext)) | (v86(VarNext) <=> v148(VarNext)))) | (~v135(constB175)) | (v86(constB175) <=> v148(constB175))),
% 17.19/12.40 inference(modus_ponens,[status(thm)],[34321, 34320])).
% 17.19/12.40 tff(34323,plain,
% 17.19/12.40 ((~v135(constB175)) | (v86(constB175) <=> v148(constB175))),
% 17.19/12.40 inference(unit_resolution,[status(thm)],[34322, 23566])).
% 17.19/12.40 tff(34324,plain,
% 17.19/12.40 (v86(constB175) <=> v148(constB175)),
% 17.19/12.40 inference(unit_resolution,[status(thm)],[34323, 34319])).
% 17.19/12.40 tff(34325,plain,
% 17.19/12.40 ((~(v86(constB175) <=> v148(constB175))) | v86(constB175) | (~v148(constB175))),
% 17.19/12.40 inference(tautology,[status(thm)],[])).
% 17.19/12.40 tff(34326,plain,
% 17.19/12.40 (v86(constB175)),
% 17.19/12.40 inference(unit_resolution,[status(thm)],[34325, 34324, 34307])).
% 17.19/12.40 tff(34327,plain,
% 17.19/12.40 ($false),
% 17.19/12.40 inference(unit_resolution,[status(thm)],[34326, 34267])).
% 17.19/12.40 tff(34328,plain,(~(constB175 = VarCurr!0)), inference(lemma,lemma(discharge,[]))).
% 17.19/12.40 tff(34329,assumption,(constB157 = VarCurr!0), introduced(assumption)).
% 17.19/12.40 tff(34330,plain,
% 17.19/12.40 (v193(constB157) <=> v193(VarCurr!0)),
% 17.19/12.40 inference(monotonicity,[status(thm)],[34329])).
% 17.19/12.40 tff(34331,plain,
% 17.19/12.40 (v193(VarCurr!0) <=> v193(constB157)),
% 17.19/12.40 inference(symmetry,[status(thm)],[34330])).
% 17.19/12.40 tff(34332,plain,
% 17.19/12.40 (v193(constB157)),
% 17.19/12.40 inference(modus_ponens,[status(thm)],[59, 34331])).
% 17.19/12.40 tff(34333,plain,
% 17.19/12.40 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v193(VarNext) <=> v191(VarCurr)))) | ((~nextState(constB156, constB157)) | (v193(constB157) <=> v191(constB156)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v193(VarNext) <=> v191(VarCurr)))) | (~nextState(constB156, constB157)) | (v193(constB157) <=> v191(constB156)))),
% 17.19/12.40 inference(rewrite,[status(thm)],[])).
% 17.19/12.40 tff(34334,plain,
% 17.19/12.40 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v193(VarNext) <=> v191(VarCurr)))) | ((~nextState(constB156, constB157)) | (v193(constB157) <=> v191(constB156)))),
% 17.19/12.40 inference(quant_inst,[status(thm)],[])).
% 17.19/12.40 tff(34335,plain,
% 17.19/12.40 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v193(VarNext) <=> v191(VarCurr)))) | (~nextState(constB156, constB157)) | (v193(constB157) <=> v191(constB156))),
% 17.19/12.40 inference(modus_ponens,[status(thm)],[34334, 34333])).
% 17.19/12.40 tff(34336,plain,
% 17.19/12.40 (v193(constB157) <=> v191(constB156)),
% 17.19/12.40 inference(unit_resolution,[status(thm)],[34335, 21242, 70])).
% 17.19/12.40 tff(34337,plain,
% 17.19/12.40 ((~![VarCurr: $i] : (v191(VarCurr) <=> (v194(VarCurr) | v198(VarCurr)))) | (v191(constB156) <=> (v194(constB156) | v198(constB156)))),
% 17.19/12.40 inference(quant_inst,[status(thm)],[])).
% 17.19/12.40 tff(34338,plain,
% 17.19/12.40 (v191(constB156) <=> (v194(constB156) | v198(constB156))),
% 17.19/12.40 inference(unit_resolution,[status(thm)],[34337, 84])).
% 17.19/12.40 tff(34339,plain,
% 17.19/12.40 ((~![VarCurr: $i] : (v198(VarCurr) <=> (~((~v199(VarCurr)) | (~v200(VarCurr)))))) | (v198(constB156) <=> (~((~v199(constB156)) | (~v200(constB156)))))),
% 17.19/12.40 inference(quant_inst,[status(thm)],[])).
% 17.19/12.40 tff(34340,plain,
% 17.19/12.40 (v198(constB156) <=> (~((~v199(constB156)) | (~v200(constB156))))),
% 17.19/12.40 inference(unit_resolution,[status(thm)],[34339, 96])).
% 17.19/12.40 tff(34341,plain,
% 17.19/12.40 ((~![VarCurr: $i] : (v200(VarCurr) <=> (~((~v197(VarCurr)) | (~v201(VarCurr)))))) | (v200(constB156) <=> (~((~v197(constB156)) | (~v201(constB156)))))),
% 17.19/12.40 inference(quant_inst,[status(thm)],[])).
% 17.19/12.40 tff(34342,plain,
% 17.19/12.40 (v200(constB156) <=> (~((~v197(constB156)) | (~v201(constB156))))),
% 17.19/12.40 inference(unit_resolution,[status(thm)],[34341, 108])).
% 17.19/12.40 tff(34343,plain,
% 17.19/12.40 ((~![VarCurr: $i] : (v197(VarCurr) <=> (~((~v39(VarCurr)) | (~v9(VarCurr)))))) | (v197(constB156) <=> (~((~v39(constB156)) | (~v9(constB156)))))),
% 17.19/12.40 inference(quant_inst,[status(thm)],[])).
% 17.19/12.40 tff(34344,plain,
% 17.19/12.40 (v197(constB156) <=> (~((~v39(constB156)) | (~v9(constB156))))),
% 17.19/12.40 inference(unit_resolution,[status(thm)],[34343, 120])).
% 17.19/12.40 tff(34345,plain,
% 17.19/12.40 ((~![VarCurr: $i] : ((~v39(VarCurr)) <=> v1(VarCurr))) | ((~v39(constB156)) <=> v1(constB156))),
% 17.19/12.40 inference(quant_inst,[status(thm)],[])).
% 17.19/12.40 tff(34346,plain,
% 17.19/12.40 ((~v39(constB156)) <=> v1(constB156)),
% 17.19/12.40 inference(unit_resolution,[status(thm)],[34345, 129])).
% 17.19/12.40 tff(34347,plain,
% 17.19/12.40 ((~((~v39(constB156)) <=> v1(constB156))) | (~v39(constB156)) | (~v1(constB156))),
% 17.19/12.40 inference(tautology,[status(thm)],[])).
% 17.19/12.40 tff(34348,plain,
% 17.19/12.40 ((~((~v39(constB156)) <=> v1(constB156))) | (~v39(constB156))),
% 17.19/12.40 inference(unit_resolution,[status(thm)],[34347, 21304])).
% 17.19/12.40 tff(34349,plain,
% 17.19/12.40 (~v39(constB156)),
% 17.19/12.40 inference(unit_resolution,[status(thm)],[34348, 34346])).
% 17.19/12.40 tff(34350,plain,
% 17.19/12.40 (((~v39(constB156)) | (~v9(constB156))) | v39(constB156)),
% 17.19/12.40 inference(tautology,[status(thm)],[])).
% 17.19/12.40 tff(34351,plain,
% 17.19/12.40 ((~v39(constB156)) | (~v9(constB156))),
% 17.19/12.40 inference(unit_resolution,[status(thm)],[34350, 34349])).
% 17.19/12.40 tff(34352,plain,
% 17.19/12.40 ((~(v197(constB156) <=> (~((~v39(constB156)) | (~v9(constB156)))))) | (~v197(constB156)) | (~((~v39(constB156)) | (~v9(constB156))))),
% 17.19/12.40 inference(tautology,[status(thm)],[])).
% 17.19/12.40 tff(34353,plain,
% 17.19/12.40 ((~(v197(constB156) <=> (~((~v39(constB156)) | (~v9(constB156)))))) | (~v197(constB156))),
% 17.19/12.40 inference(unit_resolution,[status(thm)],[34352, 34351])).
% 17.19/12.40 tff(34354,plain,
% 17.19/12.40 (~v197(constB156)),
% 17.19/12.40 inference(unit_resolution,[status(thm)],[34353, 34344])).
% 17.19/12.40 tff(34355,plain,
% 17.19/12.40 (((~v197(constB156)) | (~v201(constB156))) | v197(constB156)),
% 17.19/12.40 inference(tautology,[status(thm)],[])).
% 17.19/12.40 tff(34356,plain,
% 17.19/12.40 ((~v197(constB156)) | (~v201(constB156))),
% 17.19/12.40 inference(unit_resolution,[status(thm)],[34355, 34354])).
% 17.19/12.40 tff(34357,plain,
% 17.19/12.40 ((~(v200(constB156) <=> (~((~v197(constB156)) | (~v201(constB156)))))) | (~v200(constB156)) | (~((~v197(constB156)) | (~v201(constB156))))),
% 17.19/12.40 inference(tautology,[status(thm)],[])).
% 17.19/12.40 tff(34358,plain,
% 17.19/12.40 ((~(v200(constB156) <=> (~((~v197(constB156)) | (~v201(constB156)))))) | (~v200(constB156))),
% 17.19/12.40 inference(unit_resolution,[status(thm)],[34357, 34356])).
% 17.19/12.40 tff(34359,plain,
% 17.19/12.40 (~v200(constB156)),
% 17.19/12.40 inference(unit_resolution,[status(thm)],[34358, 34342])).
% 17.19/12.40 tff(34360,plain,
% 17.19/12.40 (((~v199(constB156)) | (~v200(constB156))) | v200(constB156)),
% 17.19/12.40 inference(tautology,[status(thm)],[])).
% 17.19/12.40 tff(34361,plain,
% 17.19/12.40 ((~v199(constB156)) | (~v200(constB156))),
% 17.19/12.40 inference(unit_resolution,[status(thm)],[34360, 34359])).
% 17.19/12.40 tff(34362,plain,
% 17.19/12.40 ((~(v198(constB156) <=> (~((~v199(constB156)) | (~v200(constB156)))))) | (~v198(constB156)) | (~((~v199(constB156)) | (~v200(constB156))))),
% 17.19/12.40 inference(tautology,[status(thm)],[])).
% 17.19/12.40 tff(34363,plain,
% 17.19/12.40 (~v198(constB156)),
% 17.19/12.40 inference(unit_resolution,[status(thm)],[34362, 34361, 34340])).
% 17.19/12.40 tff(34364,plain,
% 17.19/12.40 (((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB156) <=> (~((~v157(constB156)) | (~v195(constB156)))))) <=> ((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB156) <=> (~((~v157(constB156)) | (~v195(constB156))))))),
% 17.19/12.40 inference(rewrite,[status(thm)],[])).
% 17.19/12.40 tff(34365,plain,
% 17.19/12.40 ((v194(constB156) <=> (~((~v195(constB156)) | (~v157(constB156))))) <=> (v194(constB156) <=> (~((~v157(constB156)) | (~v195(constB156)))))),
% 17.19/12.40 inference(rewrite,[status(thm)],[])).
% 17.19/12.40 tff(34366,plain,
% 17.19/12.40 (((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB156) <=> (~((~v195(constB156)) | (~v157(constB156)))))) <=> ((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB156) <=> (~((~v157(constB156)) | (~v195(constB156))))))),
% 17.19/12.40 inference(monotonicity,[status(thm)],[34365])).
% 17.19/12.40 tff(34367,plain,
% 17.19/12.40 (((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB156) <=> (~((~v195(constB156)) | (~v157(constB156)))))) <=> ((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB156) <=> (~((~v157(constB156)) | (~v195(constB156))))))),
% 17.19/12.40 inference(transitivity,[status(thm)],[34366, 34364])).
% 17.19/12.40 tff(34368,plain,
% 17.19/12.40 ((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB156) <=> (~((~v195(constB156)) | (~v157(constB156)))))),
% 17.19/12.40 inference(quant_inst,[status(thm)],[])).
% 17.19/12.40 tff(34369,plain,
% 17.19/12.40 ((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB156) <=> (~((~v157(constB156)) | (~v195(constB156)))))),
% 17.19/12.40 inference(modus_ponens,[status(thm)],[34368, 34367])).
% 17.19/12.40 tff(34370,plain,
% 17.19/12.40 (v194(constB156) <=> (~((~v157(constB156)) | (~v195(constB156))))),
% 17.19/12.40 inference(unit_resolution,[status(thm)],[34369, 161])).
% 17.19/12.40 tff(34371,plain,
% 17.19/12.40 ((~![VarNext: $i] : (v157(VarNext) <=> v193(VarNext))) | (v157(constB156) <=> v193(constB156))),
% 17.19/12.40 inference(quant_inst,[status(thm)],[])).
% 17.19/12.40 tff(34372,plain,
% 17.19/12.40 (v157(constB156) <=> v193(constB156)),
% 17.19/12.40 inference(unit_resolution,[status(thm)],[34371, 13])).
% 17.19/12.40 tff(34373,plain,
% 17.19/12.40 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v193(VarNext) <=> v191(VarCurr)))) | ((~nextState(constB155, constB156)) | (v193(constB156) <=> v191(constB155)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v193(VarNext) <=> v191(VarCurr)))) | (~nextState(constB155, constB156)) | (v193(constB156) <=> v191(constB155)))),
% 17.19/12.40 inference(rewrite,[status(thm)],[])).
% 17.19/12.40 tff(34374,plain,
% 17.19/12.40 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v193(VarNext) <=> v191(VarCurr)))) | ((~nextState(constB155, constB156)) | (v193(constB156) <=> v191(constB155)))),
% 17.19/12.40 inference(quant_inst,[status(thm)],[])).
% 17.19/12.40 tff(34375,plain,
% 17.19/12.40 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v193(VarNext) <=> v191(VarCurr)))) | (~nextState(constB155, constB156)) | (v193(constB156) <=> v191(constB155))),
% 17.19/12.40 inference(modus_ponens,[status(thm)],[34374, 34373])).
% 17.19/12.40 tff(34376,plain,
% 17.19/12.40 (v193(constB156) <=> v191(constB155)),
% 17.19/12.40 inference(unit_resolution,[status(thm)],[34375, 21274, 70])).
% 17.19/12.40 tff(34377,plain,
% 17.19/12.40 ((~![VarCurr: $i] : (v191(VarCurr) <=> (v194(VarCurr) | v198(VarCurr)))) | (v191(constB155) <=> (v194(constB155) | v198(constB155)))),
% 17.19/12.40 inference(quant_inst,[status(thm)],[])).
% 17.19/12.40 tff(34378,plain,
% 17.19/12.40 (v191(constB155) <=> (v194(constB155) | v198(constB155))),
% 17.19/12.40 inference(unit_resolution,[status(thm)],[34377, 84])).
% 17.19/12.40 tff(34379,plain,
% 17.19/12.40 (((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB155) <=> (~((~v157(constB155)) | (~v195(constB155)))))) <=> ((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB155) <=> (~((~v157(constB155)) | (~v195(constB155))))))),
% 17.19/12.40 inference(rewrite,[status(thm)],[])).
% 17.19/12.40 tff(34380,plain,
% 17.19/12.40 ((v194(constB155) <=> (~((~v195(constB155)) | (~v157(constB155))))) <=> (v194(constB155) <=> (~((~v157(constB155)) | (~v195(constB155)))))),
% 17.19/12.40 inference(rewrite,[status(thm)],[])).
% 17.19/12.40 tff(34381,plain,
% 17.19/12.40 (((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB155) <=> (~((~v195(constB155)) | (~v157(constB155)))))) <=> ((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB155) <=> (~((~v157(constB155)) | (~v195(constB155))))))),
% 17.19/12.40 inference(monotonicity,[status(thm)],[34380])).
% 17.19/12.40 tff(34382,plain,
% 17.19/12.40 (((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB155) <=> (~((~v195(constB155)) | (~v157(constB155)))))) <=> ((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB155) <=> (~((~v157(constB155)) | (~v195(constB155))))))),
% 17.19/12.40 inference(transitivity,[status(thm)],[34381, 34379])).
% 17.19/12.40 tff(34383,plain,
% 17.19/12.40 ((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB155) <=> (~((~v195(constB155)) | (~v157(constB155)))))),
% 17.19/12.40 inference(quant_inst,[status(thm)],[])).
% 17.19/12.40 tff(34384,plain,
% 17.19/12.40 ((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB155) <=> (~((~v157(constB155)) | (~v195(constB155)))))),
% 17.19/12.40 inference(modus_ponens,[status(thm)],[34383, 34382])).
% 17.19/12.40 tff(34385,plain,
% 17.19/12.40 (v194(constB155) <=> (~((~v157(constB155)) | (~v195(constB155))))),
% 17.19/12.40 inference(unit_resolution,[status(thm)],[34384, 161])).
% 17.19/12.40 tff(34386,plain,
% 17.19/12.40 ((~![VarCurr: $i] : ((~v195(VarCurr)) <=> v196(VarCurr))) | ((~v195(constB155)) <=> v196(constB155))),
% 17.19/12.40 inference(quant_inst,[status(thm)],[])).
% 17.19/12.40 tff(34387,plain,
% 17.19/12.40 ((~v195(constB155)) <=> v196(constB155)),
% 17.19/12.40 inference(unit_resolution,[status(thm)],[34386, 193])).
% 17.19/12.40 tff(34388,plain,
% 17.19/12.40 ((~![VarCurr: $i] : (v196(VarCurr) <=> (v197(VarCurr) | v26(VarCurr)))) | (v196(constB155) <=> (v197(constB155) | v26(constB155)))),
% 17.19/12.40 inference(quant_inst,[status(thm)],[])).
% 17.19/12.40 tff(34389,plain,
% 17.19/12.40 (v196(constB155) <=> (v197(constB155) | v26(constB155))),
% 17.19/12.40 inference(unit_resolution,[status(thm)],[34388, 202])).
% 17.19/12.40 tff(34390,plain,
% 17.19/12.40 ((~![VarCurr: $i] : (v197(VarCurr) <=> (~((~v39(VarCurr)) | (~v9(VarCurr)))))) | (v197(constB155) <=> (~((~v39(constB155)) | (~v9(constB155)))))),
% 17.19/12.40 inference(quant_inst,[status(thm)],[])).
% 17.19/12.40 tff(34391,plain,
% 17.19/12.40 (v197(constB155) <=> (~((~v39(constB155)) | (~v9(constB155))))),
% 17.19/12.40 inference(unit_resolution,[status(thm)],[34390, 120])).
% 17.19/12.40 tff(34392,plain,
% 17.19/12.40 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | ((~nextState(constB155, constB156)) | (v13(constB156) <=> v9(constB155)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | (~nextState(constB155, constB156)) | (v13(constB156) <=> v9(constB155)))),
% 17.19/12.40 inference(rewrite,[status(thm)],[])).
% 17.19/12.41 tff(34393,plain,
% 17.19/12.41 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | ((~nextState(constB155, constB156)) | (v13(constB156) <=> v9(constB155)))),
% 17.19/12.41 inference(quant_inst,[status(thm)],[])).
% 17.19/12.41 tff(34394,plain,
% 17.19/12.41 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | (~nextState(constB155, constB156)) | (v13(constB156) <=> v9(constB155))),
% 17.19/12.41 inference(modus_ponens,[status(thm)],[34393, 34392])).
% 17.19/12.41 tff(34395,plain,
% 17.19/12.41 (v13(constB156) <=> v9(constB155)),
% 17.19/12.41 inference(unit_resolution,[status(thm)],[34394, 21274, 216])).
% 17.19/12.41 tff(34396,plain,
% 17.19/12.41 ((~![VarNext: $i] : (v6(VarNext) <=> v13(VarNext))) | (v6(constB156) <=> v13(constB156))),
% 17.19/12.41 inference(quant_inst,[status(thm)],[])).
% 17.19/12.41 tff(34397,plain,
% 17.19/12.41 (v6(constB156) <=> v13(constB156)),
% 17.19/12.41 inference(unit_resolution,[status(thm)],[34396, 230])).
% 17.19/12.41 tff(34398,plain,
% 17.19/12.41 ((~![VarCurr: $i] : ((~v21(VarCurr)) <=> v6(VarCurr))) | ((~v21(constB156)) <=> v6(constB156))),
% 17.19/12.41 inference(quant_inst,[status(thm)],[])).
% 17.19/12.41 tff(34399,plain,
% 17.19/12.41 ((~v21(constB156)) <=> v6(constB156)),
% 17.19/12.41 inference(unit_resolution,[status(thm)],[34398, 239])).
% 17.19/12.41 tff(34400,plain,
% 17.19/12.41 ((~![VarCurr: $i] : (v19(VarCurr) <=> (v20(VarCurr) | v21(VarCurr)))) | (v19(constB156) <=> (v20(constB156) | v21(constB156)))),
% 17.19/12.41 inference(quant_inst,[status(thm)],[])).
% 17.19/12.41 tff(34401,plain,
% 17.19/12.41 (v19(constB156) <=> (v20(constB156) | v21(constB156))),
% 17.19/12.41 inference(unit_resolution,[status(thm)],[34400, 248])).
% 17.19/12.41 tff(34402,plain,
% 17.19/12.41 ((~![VarCurr: $i] : (v18(VarCurr) <=> (~((~v19(VarCurr)) | (~v22(VarCurr)))))) | (v18(constB156) <=> (~((~v19(constB156)) | (~v22(constB156)))))),
% 17.19/12.41 inference(quant_inst,[status(thm)],[])).
% 17.19/12.41 tff(34403,plain,
% 17.19/12.41 (v18(constB156) <=> (~((~v19(constB156)) | (~v22(constB156))))),
% 17.19/12.41 inference(unit_resolution,[status(thm)],[34402, 260])).
% 17.19/12.41 tff(34404,plain,
% 17.19/12.41 ((~![VarCurr: $i] : ((~v4(VarCurr)) <=> v18(VarCurr))) | ((~v4(constB156)) <=> v18(constB156))),
% 17.19/12.41 inference(quant_inst,[status(thm)],[])).
% 17.19/12.41 tff(34405,plain,
% 17.19/12.41 ((~v4(constB156)) <=> v18(constB156)),
% 17.19/12.41 inference(unit_resolution,[status(thm)],[34404, 269])).
% 17.19/12.41 tff(34406,plain,
% 17.19/12.41 ((~![VarCurr: $i] : v4(VarCurr)) | v4(constB156)),
% 17.19/12.41 inference(quant_inst,[status(thm)],[])).
% 17.19/12.41 tff(34407,plain,
% 17.19/12.41 (v4(constB156)),
% 17.19/12.41 inference(unit_resolution,[status(thm)],[34406, 278])).
% 17.19/12.41 tff(34408,plain,
% 17.19/12.41 ((~((~v4(constB156)) <=> v18(constB156))) | (~v4(constB156)) | (~v18(constB156))),
% 17.19/12.41 inference(tautology,[status(thm)],[])).
% 17.19/12.41 tff(34409,plain,
% 17.19/12.41 (~v18(constB156)),
% 17.19/12.41 inference(unit_resolution,[status(thm)],[34408, 34407, 34405])).
% 17.19/12.41 tff(34410,plain,
% 17.19/12.41 ((~(v18(constB156) <=> (~((~v19(constB156)) | (~v22(constB156)))))) | v18(constB156) | ((~v19(constB156)) | (~v22(constB156)))),
% 17.19/12.41 inference(tautology,[status(thm)],[])).
% 17.19/12.41 tff(34411,plain,
% 17.19/12.41 ((~v19(constB156)) | (~v22(constB156))),
% 17.19/12.41 inference(unit_resolution,[status(thm)],[34410, 34409, 34403])).
% 17.19/12.41 tff(34412,plain,
% 17.19/12.41 ((~![VarCurr: $i] : (v22(VarCurr) <=> (v1(VarCurr) | v6(VarCurr)))) | (v22(constB156) <=> (v1(constB156) | v6(constB156)))),
% 17.19/12.41 inference(quant_inst,[status(thm)],[])).
% 17.19/12.41 tff(34413,plain,
% 17.19/12.41 (v22(constB156) <=> (v1(constB156) | v6(constB156))),
% 17.19/12.41 inference(unit_resolution,[status(thm)],[34412, 291])).
% 17.19/12.41 tff(34414,plain,
% 17.19/12.41 ((v1(constB156) | v6(constB156)) | (~v1(constB156))),
% 17.19/12.41 inference(tautology,[status(thm)],[])).
% 17.19/12.41 tff(34415,plain,
% 17.19/12.41 (v1(constB156) | v6(constB156)),
% 17.19/12.41 inference(unit_resolution,[status(thm)],[34414, 21304])).
% 17.19/12.41 tff(34416,plain,
% 17.19/12.41 ((~(v22(constB156) <=> (v1(constB156) | v6(constB156)))) | v22(constB156) | (~(v1(constB156) | v6(constB156)))),
% 17.19/12.41 inference(tautology,[status(thm)],[])).
% 17.19/12.41 tff(34417,plain,
% 17.19/12.41 ((~(v22(constB156) <=> (v1(constB156) | v6(constB156)))) | v22(constB156)),
% 17.19/12.41 inference(unit_resolution,[status(thm)],[34416, 34415])).
% 17.19/12.41 tff(34418,plain,
% 17.19/12.41 (v22(constB156)),
% 17.19/12.41 inference(unit_resolution,[status(thm)],[34417, 34413])).
% 17.19/12.41 tff(34419,plain,
% 17.19/12.41 ((~((~v19(constB156)) | (~v22(constB156)))) | (~v19(constB156)) | (~v22(constB156))),
% 17.19/12.41 inference(tautology,[status(thm)],[])).
% 17.19/12.41 tff(34420,plain,
% 17.19/12.41 ((~((~v19(constB156)) | (~v22(constB156)))) | (~v19(constB156))),
% 17.19/12.41 inference(unit_resolution,[status(thm)],[34419, 34418])).
% 17.19/12.41 tff(34421,plain,
% 17.19/12.41 (~v19(constB156)),
% 17.19/12.41 inference(unit_resolution,[status(thm)],[34420, 34411])).
% 17.19/12.41 tff(34422,plain,
% 17.19/12.41 ((~(v19(constB156) <=> (v20(constB156) | v21(constB156)))) | v19(constB156) | (~(v20(constB156) | v21(constB156)))),
% 17.19/12.41 inference(tautology,[status(thm)],[])).
% 17.19/12.41 tff(34423,plain,
% 17.19/12.41 (~(v20(constB156) | v21(constB156))),
% 17.19/12.41 inference(unit_resolution,[status(thm)],[34422, 34421, 34401])).
% 17.19/12.41 tff(34424,plain,
% 17.19/12.41 ((v20(constB156) | v21(constB156)) | (~v21(constB156))),
% 17.19/12.41 inference(tautology,[status(thm)],[])).
% 17.19/12.41 tff(34425,plain,
% 17.19/12.41 (~v21(constB156)),
% 17.19/12.41 inference(unit_resolution,[status(thm)],[34424, 34423])).
% 17.19/12.41 tff(34426,plain,
% 17.19/12.41 ((~((~v21(constB156)) <=> v6(constB156))) | v21(constB156) | v6(constB156)),
% 17.19/12.41 inference(tautology,[status(thm)],[])).
% 17.19/12.41 tff(34427,plain,
% 17.19/12.41 (v6(constB156)),
% 17.19/12.41 inference(unit_resolution,[status(thm)],[34426, 34425, 34399])).
% 17.19/12.41 tff(34428,plain,
% 17.19/12.41 ((~(v6(constB156) <=> v13(constB156))) | (~v6(constB156)) | v13(constB156)),
% 17.19/12.41 inference(tautology,[status(thm)],[])).
% 17.19/12.41 tff(34429,plain,
% 17.19/12.41 (v13(constB156)),
% 17.19/12.41 inference(unit_resolution,[status(thm)],[34428, 34427, 34397])).
% 17.19/12.41 tff(34430,plain,
% 17.19/12.41 ((~(v13(constB156) <=> v9(constB155))) | (~v13(constB156)) | v9(constB155)),
% 17.19/12.41 inference(tautology,[status(thm)],[])).
% 17.19/12.41 tff(34431,plain,
% 17.19/12.41 (v9(constB155)),
% 17.19/12.41 inference(unit_resolution,[status(thm)],[34430, 34429, 34395])).
% 17.19/12.41 tff(34432,plain,
% 17.19/12.41 ((~![VarCurr: $i] : ((~v39(VarCurr)) <=> v1(VarCurr))) | ((~v39(constB155)) <=> v1(constB155))),
% 17.19/12.41 inference(quant_inst,[status(thm)],[])).
% 17.19/12.41 tff(34433,plain,
% 17.19/12.41 ((~v39(constB155)) <=> v1(constB155)),
% 17.19/12.41 inference(unit_resolution,[status(thm)],[34432, 129])).
% 17.19/12.41 tff(34434,plain,
% 17.19/12.41 ((~((~v39(constB155)) <=> v1(constB155))) | v39(constB155) | v1(constB155)),
% 17.19/12.41 inference(tautology,[status(thm)],[])).
% 17.19/12.41 tff(34435,plain,
% 17.19/12.41 ((~((~v39(constB155)) <=> v1(constB155))) | v39(constB155)),
% 17.19/12.41 inference(unit_resolution,[status(thm)],[34434, 21296])).
% 17.19/12.41 tff(34436,plain,
% 17.19/12.41 (v39(constB155)),
% 17.19/12.41 inference(unit_resolution,[status(thm)],[34435, 34433])).
% 17.19/12.41 tff(34437,plain,
% 17.19/12.41 ((~((~v39(constB155)) | (~v9(constB155)))) | (~v39(constB155)) | (~v9(constB155))),
% 17.19/12.41 inference(tautology,[status(thm)],[])).
% 17.19/12.41 tff(34438,plain,
% 17.19/12.41 ((~((~v39(constB155)) | (~v9(constB155)))) | (~v9(constB155))),
% 17.19/12.41 inference(unit_resolution,[status(thm)],[34437, 34436])).
% 17.19/12.41 tff(34439,plain,
% 17.19/12.41 (~((~v39(constB155)) | (~v9(constB155)))),
% 17.19/12.41 inference(unit_resolution,[status(thm)],[34438, 34431])).
% 17.19/12.41 tff(34440,plain,
% 17.19/12.41 ((~(v197(constB155) <=> (~((~v39(constB155)) | (~v9(constB155)))))) | v197(constB155) | ((~v39(constB155)) | (~v9(constB155)))),
% 17.19/12.41 inference(tautology,[status(thm)],[])).
% 17.19/12.41 tff(34441,plain,
% 17.19/12.41 (v197(constB155)),
% 17.19/12.41 inference(unit_resolution,[status(thm)],[34440, 34439, 34391])).
% 17.19/12.41 tff(34442,plain,
% 17.19/12.41 ((v197(constB155) | v26(constB155)) | (~v197(constB155))),
% 17.19/12.41 inference(tautology,[status(thm)],[])).
% 17.19/12.41 tff(34443,plain,
% 17.19/12.41 (v197(constB155) | v26(constB155)),
% 17.19/12.41 inference(unit_resolution,[status(thm)],[34442, 34441])).
% 17.19/12.41 tff(34444,plain,
% 17.19/12.41 ((~(v196(constB155) <=> (v197(constB155) | v26(constB155)))) | v196(constB155) | (~(v197(constB155) | v26(constB155)))),
% 17.19/12.41 inference(tautology,[status(thm)],[])).
% 17.19/12.41 tff(34445,plain,
% 17.19/12.41 (v196(constB155)),
% 17.19/12.41 inference(unit_resolution,[status(thm)],[34444, 34443, 34389])).
% 17.19/12.41 tff(34446,plain,
% 17.19/12.41 ((~((~v195(constB155)) <=> v196(constB155))) | (~v195(constB155)) | (~v196(constB155))),
% 17.19/12.41 inference(tautology,[status(thm)],[])).
% 17.19/12.41 tff(34447,plain,
% 17.19/12.41 (~v195(constB155)),
% 17.19/12.41 inference(unit_resolution,[status(thm)],[34446, 34445, 34387])).
% 17.19/12.41 tff(34448,plain,
% 17.19/12.41 (((~v157(constB155)) | (~v195(constB155))) | v195(constB155)),
% 17.19/12.41 inference(tautology,[status(thm)],[])).
% 17.19/12.41 tff(34449,plain,
% 17.19/12.41 ((~v157(constB155)) | (~v195(constB155))),
% 17.19/12.41 inference(unit_resolution,[status(thm)],[34448, 34447])).
% 17.19/12.41 tff(34450,plain,
% 17.19/12.41 ((~(v194(constB155) <=> (~((~v157(constB155)) | (~v195(constB155)))))) | (~v194(constB155)) | (~((~v157(constB155)) | (~v195(constB155))))),
% 17.21/12.41 inference(tautology,[status(thm)],[])).
% 17.21/12.41 tff(34451,plain,
% 17.21/12.41 (~v194(constB155)),
% 17.21/12.41 inference(unit_resolution,[status(thm)],[34450, 34449, 34385])).
% 17.21/12.41 tff(34452,plain,
% 17.21/12.41 ((~![VarCurr: $i] : (v198(VarCurr) <=> (~((~v199(VarCurr)) | (~v200(VarCurr)))))) | (v198(constB155) <=> (~((~v199(constB155)) | (~v200(constB155)))))),
% 17.21/12.41 inference(quant_inst,[status(thm)],[])).
% 17.21/12.41 tff(34453,plain,
% 17.21/12.41 (v198(constB155) <=> (~((~v199(constB155)) | (~v200(constB155))))),
% 17.21/12.41 inference(unit_resolution,[status(thm)],[34452, 96])).
% 17.21/12.41 tff(34454,plain,
% 17.21/12.41 ((~![VarCurr: $i] : (v200(VarCurr) <=> (~((~v197(VarCurr)) | (~v201(VarCurr)))))) | (v200(constB155) <=> (~((~v197(constB155)) | (~v201(constB155)))))),
% 17.21/12.41 inference(quant_inst,[status(thm)],[])).
% 17.21/12.41 tff(34455,plain,
% 17.21/12.41 (v200(constB155) <=> (~((~v197(constB155)) | (~v201(constB155))))),
% 17.21/12.41 inference(unit_resolution,[status(thm)],[34454, 108])).
% 17.21/12.41 tff(34456,plain,
% 17.21/12.41 ((~![VarCurr: $i] : (v201(VarCurr) <=> (~((~v159(VarCurr)) | (~v161(VarCurr)))))) | (v201(constB155) <=> (~((~v159(constB155)) | (~v161(constB155)))))),
% 17.21/12.41 inference(quant_inst,[status(thm)],[])).
% 17.21/12.41 tff(34457,plain,
% 17.21/12.41 (v201(constB155) <=> (~((~v159(constB155)) | (~v161(constB155))))),
% 17.21/12.41 inference(unit_resolution,[status(thm)],[34456, 348])).
% 17.21/12.41 tff(34458,plain,
% 17.21/12.41 ((~![VarCurr: $i] : (v161(VarCurr) <=> v163(VarCurr))) | (v161(constB155) <=> v163(constB155))),
% 17.21/12.41 inference(quant_inst,[status(thm)],[])).
% 17.21/12.41 tff(34459,plain,
% 17.21/12.41 (v161(constB155) <=> v163(constB155)),
% 17.21/12.41 inference(unit_resolution,[status(thm)],[34458, 357])).
% 17.21/12.41 tff(34460,plain,
% 17.21/12.41 ((~![VarCurr: $i] : (v171(VarCurr) <=> (v142(VarCurr) | v150(VarCurr)))) | (v171(constB155) <=> (v142(constB155) | v150(constB155)))),
% 17.21/12.41 inference(quant_inst,[status(thm)],[])).
% 17.21/12.41 tff(34461,plain,
% 17.21/12.41 (v171(constB155) <=> (v142(constB155) | v150(constB155))),
% 17.21/12.41 inference(unit_resolution,[status(thm)],[34460, 369])).
% 17.21/12.41 tff(34462,plain,
% 17.21/12.41 ((v142(constB155) | v150(constB155)) | (~v142(constB155))),
% 17.21/12.41 inference(tautology,[status(thm)],[])).
% 17.21/12.41 tff(34463,plain,
% 17.21/12.41 (v142(constB155) | v150(constB155)),
% 17.21/12.41 inference(unit_resolution,[status(thm)],[34462, 33012])).
% 17.21/12.41 tff(34464,plain,
% 17.21/12.41 ((~(v171(constB155) <=> (v142(constB155) | v150(constB155)))) | v171(constB155) | (~(v142(constB155) | v150(constB155)))),
% 17.21/12.41 inference(tautology,[status(thm)],[])).
% 17.21/12.41 tff(34465,plain,
% 17.21/12.41 (v171(constB155)),
% 17.21/12.41 inference(unit_resolution,[status(thm)],[34464, 34463, 34461])).
% 17.21/12.41 tff(34466,plain,
% 17.21/12.41 (((~![VarCurr: $i] : ((~v171(VarCurr)) | (~v170(VarCurr)))) | ((~v170(constB155)) | (~v171(constB155)))) <=> ((~![VarCurr: $i] : ((~v171(VarCurr)) | (~v170(VarCurr)))) | (~v170(constB155)) | (~v171(constB155)))),
% 17.21/12.41 inference(rewrite,[status(thm)],[])).
% 17.21/12.41 tff(34467,plain,
% 17.21/12.41 (((~v171(constB155)) | (~v170(constB155))) <=> ((~v170(constB155)) | (~v171(constB155)))),
% 17.21/12.41 inference(rewrite,[status(thm)],[])).
% 17.21/12.41 tff(34468,plain,
% 17.21/12.41 (((~![VarCurr: $i] : ((~v171(VarCurr)) | (~v170(VarCurr)))) | ((~v171(constB155)) | (~v170(constB155)))) <=> ((~![VarCurr: $i] : ((~v171(VarCurr)) | (~v170(VarCurr)))) | ((~v170(constB155)) | (~v171(constB155))))),
% 17.21/12.41 inference(monotonicity,[status(thm)],[34467])).
% 17.21/12.41 tff(34469,plain,
% 17.21/12.41 (((~![VarCurr: $i] : ((~v171(VarCurr)) | (~v170(VarCurr)))) | ((~v171(constB155)) | (~v170(constB155)))) <=> ((~![VarCurr: $i] : ((~v171(VarCurr)) | (~v170(VarCurr)))) | (~v170(constB155)) | (~v171(constB155)))),
% 17.21/12.41 inference(transitivity,[status(thm)],[34468, 34466])).
% 17.21/12.41 tff(34470,plain,
% 17.21/12.41 ((~![VarCurr: $i] : ((~v171(VarCurr)) | (~v170(VarCurr)))) | ((~v171(constB155)) | (~v170(constB155)))),
% 17.21/12.41 inference(quant_inst,[status(thm)],[])).
% 17.21/12.41 tff(34471,plain,
% 17.21/12.41 ((~![VarCurr: $i] : ((~v171(VarCurr)) | (~v170(VarCurr)))) | (~v170(constB155)) | (~v171(constB155))),
% 17.21/12.41 inference(modus_ponens,[status(thm)],[34470, 34469])).
% 17.21/12.41 tff(34472,plain,
% 17.21/12.41 ((~v170(constB155)) | (~v171(constB155))),
% 17.21/12.41 inference(unit_resolution,[status(thm)],[34471, 13061])).
% 17.21/12.41 tff(34473,plain,
% 17.21/12.41 (~v170(constB155)),
% 17.21/12.41 inference(unit_resolution,[status(thm)],[34472, 34465])).
% 17.21/12.41 tff(34474,plain,
% 17.21/12.41 ((~![VarCurr: $i] : (v166(VarCurr) <=> (v145(VarCurr) | v167(VarCurr)))) | (v166(constB155) <=> (v145(constB155) | v167(constB155)))),
% 17.21/12.41 inference(quant_inst,[status(thm)],[])).
% 17.21/12.41 tff(34475,plain,
% 17.21/12.41 (v166(constB155) <=> (v145(constB155) | v167(constB155))),
% 17.21/12.41 inference(unit_resolution,[status(thm)],[34474, 13079])).
% 17.21/12.41 tff(34476,plain,
% 17.21/12.41 ((~![VarCurr: $i] : (v167(VarCurr) <=> (v142(VarCurr) | v168(VarCurr)))) | (v167(constB155) <=> (v142(constB155) | v168(constB155)))),
% 17.21/12.41 inference(quant_inst,[status(thm)],[])).
% 17.21/12.41 tff(34477,plain,
% 17.21/12.41 (v167(constB155) <=> (v142(constB155) | v168(constB155))),
% 17.21/12.41 inference(unit_resolution,[status(thm)],[34476, 13091])).
% 17.21/12.41 tff(34478,plain,
% 17.21/12.41 ((v142(constB155) | v168(constB155)) | (~v142(constB155))),
% 17.21/12.41 inference(tautology,[status(thm)],[])).
% 17.21/12.41 tff(34479,plain,
% 17.21/12.41 (v142(constB155) | v168(constB155)),
% 17.21/12.41 inference(unit_resolution,[status(thm)],[34478, 33012])).
% 17.21/12.41 tff(34480,plain,
% 17.21/12.41 ((~(v167(constB155) <=> (v142(constB155) | v168(constB155)))) | v167(constB155) | (~(v142(constB155) | v168(constB155)))),
% 17.21/12.41 inference(tautology,[status(thm)],[])).
% 17.21/12.41 tff(34481,plain,
% 17.21/12.41 (v167(constB155)),
% 17.21/12.41 inference(unit_resolution,[status(thm)],[34480, 34479, 34477])).
% 17.21/12.41 tff(34482,plain,
% 17.21/12.41 ((v145(constB155) | v167(constB155)) | (~v167(constB155))),
% 17.21/12.41 inference(tautology,[status(thm)],[])).
% 17.21/12.41 tff(34483,plain,
% 17.21/12.41 (v145(constB155) | v167(constB155)),
% 17.21/12.41 inference(unit_resolution,[status(thm)],[34482, 34481])).
% 17.21/12.41 tff(34484,plain,
% 17.21/12.41 ((~(v166(constB155) <=> (v145(constB155) | v167(constB155)))) | v166(constB155) | (~(v145(constB155) | v167(constB155)))),
% 17.21/12.41 inference(tautology,[status(thm)],[])).
% 17.21/12.41 tff(34485,plain,
% 17.21/12.41 (v166(constB155)),
% 17.21/12.41 inference(unit_resolution,[status(thm)],[34484, 34483, 34475])).
% 17.21/12.41 tff(34486,plain,
% 17.21/12.41 (((~![VarNext: $i] : ((~v166(VarNext)) | (v163(VarNext) <=> v170(VarNext)))) | ((~v166(constB155)) | (v163(constB155) <=> v170(constB155)))) <=> ((~![VarNext: $i] : ((~v166(VarNext)) | (v163(VarNext) <=> v170(VarNext)))) | (~v166(constB155)) | (v163(constB155) <=> v170(constB155)))),
% 17.21/12.41 inference(rewrite,[status(thm)],[])).
% 17.21/12.41 tff(34487,plain,
% 17.21/12.41 ((~![VarNext: $i] : ((~v166(VarNext)) | (v163(VarNext) <=> v170(VarNext)))) | ((~v166(constB155)) | (v163(constB155) <=> v170(constB155)))),
% 17.21/12.41 inference(quant_inst,[status(thm)],[])).
% 17.21/12.41 tff(34488,plain,
% 17.21/12.41 ((~![VarNext: $i] : ((~v166(VarNext)) | (v163(VarNext) <=> v170(VarNext)))) | (~v166(constB155)) | (v163(constB155) <=> v170(constB155))),
% 17.21/12.41 inference(modus_ponens,[status(thm)],[34487, 34486])).
% 17.21/12.41 tff(34489,plain,
% 17.21/12.41 ((~v166(constB155)) | (v163(constB155) <=> v170(constB155))),
% 17.21/12.41 inference(unit_resolution,[status(thm)],[34488, 13111])).
% 17.21/12.41 tff(34490,plain,
% 17.21/12.41 (v163(constB155) <=> v170(constB155)),
% 17.21/12.41 inference(unit_resolution,[status(thm)],[34489, 34485])).
% 17.21/12.41 tff(34491,plain,
% 17.21/12.41 ((~(v163(constB155) <=> v170(constB155))) | (~v163(constB155)) | v170(constB155)),
% 17.21/12.41 inference(tautology,[status(thm)],[])).
% 17.21/12.41 tff(34492,plain,
% 17.21/12.41 (~v163(constB155)),
% 17.21/12.41 inference(unit_resolution,[status(thm)],[34491, 34490, 34473])).
% 17.21/12.41 tff(34493,plain,
% 17.21/12.41 ((~(v161(constB155) <=> v163(constB155))) | (~v161(constB155)) | v163(constB155)),
% 17.21/12.41 inference(tautology,[status(thm)],[])).
% 17.21/12.41 tff(34494,plain,
% 17.21/12.41 (~v161(constB155)),
% 17.21/12.41 inference(unit_resolution,[status(thm)],[34493, 34492, 34459])).
% 17.21/12.41 tff(34495,plain,
% 17.21/12.41 (((~v159(constB155)) | (~v161(constB155))) | v161(constB155)),
% 17.21/12.41 inference(tautology,[status(thm)],[])).
% 17.21/12.41 tff(34496,plain,
% 17.21/12.41 ((~v159(constB155)) | (~v161(constB155))),
% 17.21/12.41 inference(unit_resolution,[status(thm)],[34495, 34494])).
% 17.21/12.41 tff(34497,plain,
% 17.21/12.41 ((~(v201(constB155) <=> (~((~v159(constB155)) | (~v161(constB155)))))) | (~v201(constB155)) | (~((~v159(constB155)) | (~v161(constB155))))),
% 17.21/12.41 inference(tautology,[status(thm)],[])).
% 17.21/12.41 tff(34498,plain,
% 17.21/12.41 (~v201(constB155)),
% 17.21/12.41 inference(unit_resolution,[status(thm)],[34497, 34496, 34457])).
% 17.21/12.41 tff(34499,plain,
% 17.21/12.41 (((~v197(constB155)) | (~v201(constB155))) | v201(constB155)),
% 17.21/12.41 inference(tautology,[status(thm)],[])).
% 17.21/12.41 tff(34500,plain,
% 17.21/12.41 ((~v197(constB155)) | (~v201(constB155))),
% 17.21/12.41 inference(unit_resolution,[status(thm)],[34499, 34498])).
% 17.21/12.41 tff(34501,plain,
% 17.21/12.41 ((~(v200(constB155) <=> (~((~v197(constB155)) | (~v201(constB155)))))) | (~v200(constB155)) | (~((~v197(constB155)) | (~v201(constB155))))),
% 17.21/12.41 inference(tautology,[status(thm)],[])).
% 17.21/12.41 tff(34502,plain,
% 17.21/12.41 (~v200(constB155)),
% 17.21/12.41 inference(unit_resolution,[status(thm)],[34501, 34500, 34455])).
% 17.21/12.41 tff(34503,plain,
% 17.21/12.41 (((~v199(constB155)) | (~v200(constB155))) | v200(constB155)),
% 17.21/12.41 inference(tautology,[status(thm)],[])).
% 17.21/12.41 tff(34504,plain,
% 17.21/12.41 ((~v199(constB155)) | (~v200(constB155))),
% 17.21/12.41 inference(unit_resolution,[status(thm)],[34503, 34502])).
% 17.21/12.41 tff(34505,plain,
% 17.21/12.41 ((~(v198(constB155) <=> (~((~v199(constB155)) | (~v200(constB155)))))) | (~v198(constB155)) | (~((~v199(constB155)) | (~v200(constB155))))),
% 17.21/12.41 inference(tautology,[status(thm)],[])).
% 17.21/12.41 tff(34506,plain,
% 17.21/12.41 (~v198(constB155)),
% 17.21/12.41 inference(unit_resolution,[status(thm)],[34505, 34504, 34453])).
% 17.21/12.41 tff(34507,plain,
% 17.21/12.41 ((~(v194(constB155) | v198(constB155))) | v194(constB155) | v198(constB155)),
% 17.21/12.41 inference(tautology,[status(thm)],[])).
% 17.21/12.41 tff(34508,plain,
% 17.21/12.41 (~(v194(constB155) | v198(constB155))),
% 17.21/12.41 inference(unit_resolution,[status(thm)],[34507, 34506, 34451])).
% 17.21/12.41 tff(34509,plain,
% 17.21/12.41 ((~(v191(constB155) <=> (v194(constB155) | v198(constB155)))) | (~v191(constB155)) | (v194(constB155) | v198(constB155))),
% 17.21/12.41 inference(tautology,[status(thm)],[])).
% 17.21/12.41 tff(34510,plain,
% 17.21/12.41 (~v191(constB155)),
% 17.21/12.41 inference(unit_resolution,[status(thm)],[34509, 34508, 34378])).
% 17.21/12.41 tff(34511,plain,
% 17.21/12.41 ((~(v193(constB156) <=> v191(constB155))) | (~v193(constB156)) | v191(constB155)),
% 17.21/12.41 inference(tautology,[status(thm)],[])).
% 17.21/12.41 tff(34512,plain,
% 17.21/12.41 (~v193(constB156)),
% 17.21/12.41 inference(unit_resolution,[status(thm)],[34511, 34510, 34376])).
% 17.21/12.41 tff(34513,plain,
% 17.21/12.41 ((~(v157(constB156) <=> v193(constB156))) | (~v157(constB156)) | v193(constB156)),
% 17.21/12.41 inference(tautology,[status(thm)],[])).
% 17.21/12.41 tff(34514,plain,
% 17.21/12.41 (~v157(constB156)),
% 17.21/12.41 inference(unit_resolution,[status(thm)],[34513, 34512, 34372])).
% 17.21/12.41 tff(34515,plain,
% 17.21/12.41 (((~v157(constB156)) | (~v195(constB156))) | v157(constB156)),
% 17.21/12.41 inference(tautology,[status(thm)],[])).
% 17.21/12.41 tff(34516,plain,
% 17.21/12.41 ((~v157(constB156)) | (~v195(constB156))),
% 17.21/12.41 inference(unit_resolution,[status(thm)],[34515, 34514])).
% 17.21/12.41 tff(34517,plain,
% 17.21/12.41 ((~(v194(constB156) <=> (~((~v157(constB156)) | (~v195(constB156)))))) | (~v194(constB156)) | (~((~v157(constB156)) | (~v195(constB156))))),
% 17.21/12.41 inference(tautology,[status(thm)],[])).
% 17.21/12.41 tff(34518,plain,
% 17.21/12.41 (~v194(constB156)),
% 17.21/12.41 inference(unit_resolution,[status(thm)],[34517, 34516, 34370])).
% 17.21/12.41 tff(34519,plain,
% 17.21/12.41 ((~(v194(constB156) | v198(constB156))) | v194(constB156) | v198(constB156)),
% 17.21/12.41 inference(tautology,[status(thm)],[])).
% 17.21/12.41 tff(34520,plain,
% 17.21/12.41 (~(v194(constB156) | v198(constB156))),
% 17.21/12.41 inference(unit_resolution,[status(thm)],[34519, 34518, 34363])).
% 17.21/12.41 tff(34521,plain,
% 17.21/12.41 ((~(v191(constB156) <=> (v194(constB156) | v198(constB156)))) | (~v191(constB156)) | (v194(constB156) | v198(constB156))),
% 17.21/12.41 inference(tautology,[status(thm)],[])).
% 17.21/12.41 tff(34522,plain,
% 17.21/12.41 (~v191(constB156)),
% 17.21/12.41 inference(unit_resolution,[status(thm)],[34521, 34520, 34338])).
% 17.21/12.41 tff(34523,plain,
% 17.21/12.41 ((~(v193(constB157) <=> v191(constB156))) | (~v193(constB157)) | v191(constB156)),
% 17.21/12.41 inference(tautology,[status(thm)],[])).
% 17.21/12.41 tff(34524,plain,
% 17.21/12.41 (~v193(constB157)),
% 17.21/12.41 inference(unit_resolution,[status(thm)],[34523, 34522, 34336])).
% 17.21/12.41 tff(34525,plain,
% 17.21/12.41 ($false),
% 17.21/12.41 inference(unit_resolution,[status(thm)],[34524, 34332])).
% 17.21/12.41 tff(34526,plain,(~(constB157 = VarCurr!0)), inference(lemma,lemma(discharge,[]))).
% 17.21/12.41 tff(34527,assumption,(constB45 = VarCurr!0), introduced(assumption)).
% 17.21/12.41 tff(34528,plain,
% 17.21/12.41 (v86(constB45) <=> v86(VarCurr!0)),
% 17.21/12.41 inference(monotonicity,[status(thm)],[34527])).
% 17.21/12.41 tff(34529,plain,
% 17.21/12.41 (v86(VarCurr!0) <=> v86(constB45)),
% 17.21/12.41 inference(symmetry,[status(thm)],[34528])).
% 17.21/12.41 tff(34530,plain,
% 17.21/12.41 ((~v86(VarCurr!0)) <=> (~v86(constB45))),
% 17.21/12.41 inference(monotonicity,[status(thm)],[34529])).
% 17.21/12.41 tff(34531,plain,
% 17.21/12.41 (~v86(constB45)),
% 17.21/12.41 inference(modus_ponens,[status(thm)],[20649, 34530])).
% 17.21/12.42 tff(34532,plain,
% 17.21/12.42 ((~![VarCurr: $i] : (v142(VarCurr) <=> (v143(VarCurr) | v144(VarCurr)))) | (v142(constB45) <=> (v143(constB45) | v144(constB45)))),
% 17.21/12.42 inference(quant_inst,[status(thm)],[])).
% 17.21/12.42 tff(34533,plain,
% 17.21/12.42 (v142(constB45) <=> (v143(constB45) | v144(constB45))),
% 17.21/12.42 inference(unit_resolution,[status(thm)],[34532, 378])).
% 17.21/12.42 tff(34534,plain,
% 17.21/12.42 (((~![VarCurr: $i] : (v144(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex2)))))) | (v144(constB45) <=> (~((~v88(constB45, bitIndex2)) | (~v88(constB45, bitIndex1)) | v88(constB45, bitIndex0))))) <=> ((~![VarCurr: $i] : (v144(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex2)))))) | (v144(constB45) <=> (~((~v88(constB45, bitIndex2)) | (~v88(constB45, bitIndex1)) | v88(constB45, bitIndex0)))))),
% 17.21/12.42 inference(rewrite,[status(thm)],[])).
% 17.21/12.42 tff(34535,plain,
% 17.21/12.42 ((v144(constB45) <=> (~(v88(constB45, bitIndex0) | (~v88(constB45, bitIndex1)) | (~v88(constB45, bitIndex2))))) <=> (v144(constB45) <=> (~((~v88(constB45, bitIndex2)) | (~v88(constB45, bitIndex1)) | v88(constB45, bitIndex0))))),
% 17.21/12.42 inference(rewrite,[status(thm)],[])).
% 17.21/12.42 tff(34536,plain,
% 17.21/12.42 (((~![VarCurr: $i] : (v144(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex2)))))) | (v144(constB45) <=> (~(v88(constB45, bitIndex0) | (~v88(constB45, bitIndex1)) | (~v88(constB45, bitIndex2)))))) <=> ((~![VarCurr: $i] : (v144(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex2)))))) | (v144(constB45) <=> (~((~v88(constB45, bitIndex2)) | (~v88(constB45, bitIndex1)) | v88(constB45, bitIndex0)))))),
% 17.21/12.42 inference(monotonicity,[status(thm)],[34535])).
% 17.21/12.42 tff(34537,plain,
% 17.21/12.42 (((~![VarCurr: $i] : (v144(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex2)))))) | (v144(constB45) <=> (~(v88(constB45, bitIndex0) | (~v88(constB45, bitIndex1)) | (~v88(constB45, bitIndex2)))))) <=> ((~![VarCurr: $i] : (v144(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex2)))))) | (v144(constB45) <=> (~((~v88(constB45, bitIndex2)) | (~v88(constB45, bitIndex1)) | v88(constB45, bitIndex0)))))),
% 17.21/12.42 inference(transitivity,[status(thm)],[34536, 34534])).
% 17.21/12.42 tff(34538,plain,
% 17.21/12.42 ((~![VarCurr: $i] : (v144(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex2)))))) | (v144(constB45) <=> (~(v88(constB45, bitIndex0) | (~v88(constB45, bitIndex1)) | (~v88(constB45, bitIndex2)))))),
% 17.21/12.42 inference(quant_inst,[status(thm)],[])).
% 17.21/12.42 tff(34539,plain,
% 17.21/12.42 ((~![VarCurr: $i] : (v144(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex2)))))) | (v144(constB45) <=> (~((~v88(constB45, bitIndex2)) | (~v88(constB45, bitIndex1)) | v88(constB45, bitIndex0))))),
% 17.21/12.42 inference(modus_ponens,[status(thm)],[34538, 34537])).
% 17.21/12.42 tff(34540,plain,
% 17.21/12.42 (v144(constB45) <=> (~((~v88(constB45, bitIndex2)) | (~v88(constB45, bitIndex1)) | v88(constB45, bitIndex0)))),
% 17.21/12.42 inference(unit_resolution,[status(thm)],[34539, 393])).
% 17.21/12.42 tff(34541,plain,
% 17.21/12.42 (((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | ((~less_3(bitIndex2)) | (v88(constB45, bitIndex2) <=> v90(constB45, bitIndex2)))) <=> ((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | (~less_3(bitIndex2)) | (v88(constB45, bitIndex2) <=> v90(constB45, bitIndex2)))),
% 17.21/12.42 inference(rewrite,[status(thm)],[])).
% 17.21/12.42 tff(34542,plain,
% 17.21/12.42 ((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | ((~less_3(bitIndex2)) | (v88(constB45, bitIndex2) <=> v90(constB45, bitIndex2)))),
% 17.21/12.42 inference(quant_inst,[status(thm)],[])).
% 17.21/12.42 tff(34543,plain,
% 17.21/12.42 ((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | (~less_3(bitIndex2)) | (v88(constB45, bitIndex2) <=> v90(constB45, bitIndex2))),
% 17.21/12.42 inference(modus_ponens,[status(thm)],[34542, 34541])).
% 17.21/12.42 tff(34544,plain,
% 17.21/12.42 (v88(constB45, bitIndex2) <=> v90(constB45, bitIndex2)),
% 17.21/12.42 inference(unit_resolution,[status(thm)],[34543, 413, 410])).
% 17.21/12.42 tff(34545,plain,
% 17.21/12.42 ((~(v88(constB45, bitIndex2) <=> v90(constB45, bitIndex2))) | v88(constB45, bitIndex2) | (~v90(constB45, bitIndex2))),
% 17.21/12.42 inference(tautology,[status(thm)],[])).
% 17.21/12.42 tff(34546,plain,
% 17.21/12.42 (v88(constB45, bitIndex2)),
% 17.21/12.42 inference(unit_resolution,[status(thm)],[34545, 8813, 34544])).
% 17.21/12.42 tff(34547,plain,
% 17.21/12.42 (((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | ((~less_3(bitIndex0)) | (v88(constB45, bitIndex0) <=> v90(constB45, bitIndex0)))) <=> ((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | (~less_3(bitIndex0)) | (v88(constB45, bitIndex0) <=> v90(constB45, bitIndex0)))),
% 17.21/12.42 inference(rewrite,[status(thm)],[])).
% 17.21/12.42 tff(34548,plain,
% 17.21/12.42 ((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | ((~less_3(bitIndex0)) | (v88(constB45, bitIndex0) <=> v90(constB45, bitIndex0)))),
% 17.21/12.42 inference(quant_inst,[status(thm)],[])).
% 17.21/12.42 tff(34549,plain,
% 17.21/12.42 ((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | (~less_3(bitIndex0)) | (v88(constB45, bitIndex0) <=> v90(constB45, bitIndex0))),
% 17.21/12.42 inference(modus_ponens,[status(thm)],[34548, 34547])).
% 17.21/12.42 tff(34550,plain,
% 17.21/12.42 (v88(constB45, bitIndex0) <=> v90(constB45, bitIndex0)),
% 17.21/12.42 inference(unit_resolution,[status(thm)],[34549, 5004, 410])).
% 17.21/12.42 tff(34551,plain,
% 17.21/12.42 ((~(v88(constB45, bitIndex0) <=> v90(constB45, bitIndex0))) | (~v88(constB45, bitIndex0)) | v90(constB45, bitIndex0)),
% 17.21/12.42 inference(tautology,[status(thm)],[])).
% 17.21/12.42 tff(34552,plain,
% 17.21/12.42 (~v88(constB45, bitIndex0)),
% 17.21/12.42 inference(unit_resolution,[status(thm)],[34551, 8844, 34550])).
% 17.21/12.42 tff(34553,plain,
% 17.21/12.42 (((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | ((~less_3(bitIndex1)) | (v88(constB45, bitIndex1) <=> v90(constB45, bitIndex1)))) <=> ((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | (~less_3(bitIndex1)) | (v88(constB45, bitIndex1) <=> v90(constB45, bitIndex1)))),
% 17.21/12.42 inference(rewrite,[status(thm)],[])).
% 17.21/12.42 tff(34554,plain,
% 17.21/12.42 ((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | ((~less_3(bitIndex1)) | (v88(constB45, bitIndex1) <=> v90(constB45, bitIndex1)))),
% 17.21/12.42 inference(quant_inst,[status(thm)],[])).
% 17.21/12.42 tff(34555,plain,
% 17.21/12.42 ((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | (~less_3(bitIndex1)) | (v88(constB45, bitIndex1) <=> v90(constB45, bitIndex1))),
% 17.21/12.42 inference(modus_ponens,[status(thm)],[34554, 34553])).
% 17.21/12.42 tff(34556,plain,
% 17.21/12.42 (v88(constB45, bitIndex1) <=> v90(constB45, bitIndex1)),
% 17.21/12.42 inference(unit_resolution,[status(thm)],[34555, 5017, 410])).
% 17.21/12.42 tff(34557,plain,
% 17.21/12.42 ((~(v88(constB45, bitIndex1) <=> v90(constB45, bitIndex1))) | v88(constB45, bitIndex1) | (~v90(constB45, bitIndex1))),
% 17.21/12.42 inference(tautology,[status(thm)],[])).
% 17.21/12.42 tff(34558,plain,
% 17.21/12.42 (v88(constB45, bitIndex1)),
% 17.21/12.42 inference(unit_resolution,[status(thm)],[34557, 8875, 34556])).
% 17.21/12.42 tff(34559,plain,
% 17.21/12.42 ((~((~v88(constB45, bitIndex2)) | (~v88(constB45, bitIndex1)) | v88(constB45, bitIndex0))) | (~v88(constB45, bitIndex2)) | (~v88(constB45, bitIndex1)) | v88(constB45, bitIndex0)),
% 17.21/12.42 inference(tautology,[status(thm)],[])).
% 17.21/12.42 tff(34560,plain,
% 17.21/12.42 (~((~v88(constB45, bitIndex2)) | (~v88(constB45, bitIndex1)) | v88(constB45, bitIndex0))),
% 17.21/12.42 inference(unit_resolution,[status(thm)],[34559, 34558, 34552, 34546])).
% 17.21/12.42 tff(34561,plain,
% 17.21/12.42 ((~(v144(constB45) <=> (~((~v88(constB45, bitIndex2)) | (~v88(constB45, bitIndex1)) | v88(constB45, bitIndex0))))) | v144(constB45) | ((~v88(constB45, bitIndex2)) | (~v88(constB45, bitIndex1)) | v88(constB45, bitIndex0))),
% 17.21/12.42 inference(tautology,[status(thm)],[])).
% 17.21/12.42 tff(34562,plain,
% 17.21/12.42 (v144(constB45)),
% 17.21/12.42 inference(unit_resolution,[status(thm)],[34561, 34560, 34540])).
% 17.21/12.42 tff(34563,plain,
% 17.21/12.42 ((v143(constB45) | v144(constB45)) | (~v144(constB45))),
% 17.21/12.42 inference(tautology,[status(thm)],[])).
% 17.21/12.42 tff(34564,plain,
% 17.21/12.42 (v143(constB45) | v144(constB45)),
% 17.21/12.42 inference(unit_resolution,[status(thm)],[34563, 34562])).
% 17.21/12.42 tff(34565,plain,
% 17.21/12.42 ((~(v142(constB45) <=> (v143(constB45) | v144(constB45)))) | v142(constB45) | (~(v143(constB45) | v144(constB45)))),
% 17.21/12.42 inference(tautology,[status(thm)],[])).
% 17.21/12.42 tff(34566,plain,
% 17.21/12.42 (v142(constB45)),
% 17.21/12.42 inference(unit_resolution,[status(thm)],[34565, 34564, 34533])).
% 17.21/12.42 tff(34567,plain,
% 17.21/12.42 (((~![VarCurr: $i] : (v148(VarCurr) | (~v142(VarCurr)))) | (v148(constB45) | (~v142(constB45)))) <=> ((~![VarCurr: $i] : (v148(VarCurr) | (~v142(VarCurr)))) | v148(constB45) | (~v142(constB45)))),
% 17.21/12.42 inference(rewrite,[status(thm)],[])).
% 17.21/12.42 tff(34568,plain,
% 17.21/12.42 ((~![VarCurr: $i] : (v148(VarCurr) | (~v142(VarCurr)))) | (v148(constB45) | (~v142(constB45)))),
% 17.21/12.42 inference(quant_inst,[status(thm)],[])).
% 17.21/12.42 tff(34569,plain,
% 17.21/12.42 ((~![VarCurr: $i] : (v148(VarCurr) | (~v142(VarCurr)))) | v148(constB45) | (~v142(constB45))),
% 17.21/12.42 inference(modus_ponens,[status(thm)],[34568, 34567])).
% 17.21/12.42 tff(34570,plain,
% 17.21/12.42 (v148(constB45) | (~v142(constB45))),
% 17.21/12.42 inference(unit_resolution,[status(thm)],[34569, 23525])).
% 17.21/12.42 tff(34571,plain,
% 17.21/12.42 (v148(constB45)),
% 17.21/12.42 inference(unit_resolution,[status(thm)],[34570, 34566])).
% 17.21/12.42 tff(34572,plain,
% 17.21/12.42 ((~![VarCurr: $i] : (v135(VarCurr) <=> (v136(VarCurr) | v145(VarCurr)))) | (v135(constB45) <=> (v136(constB45) | v145(constB45)))),
% 17.21/12.42 inference(quant_inst,[status(thm)],[])).
% 17.21/12.42 tff(34573,plain,
% 17.21/12.42 (v135(constB45) <=> (v136(constB45) | v145(constB45))),
% 17.21/12.42 inference(unit_resolution,[status(thm)],[34572, 23537])).
% 17.21/12.42 tff(34574,plain,
% 17.21/12.42 ((~![VarCurr: $i] : (v136(VarCurr) <=> (v137(VarCurr) | v142(VarCurr)))) | (v136(constB45) <=> (v137(constB45) | v142(constB45)))),
% 17.21/12.42 inference(quant_inst,[status(thm)],[])).
% 17.21/12.42 tff(34575,plain,
% 17.21/12.42 (v136(constB45) <=> (v137(constB45) | v142(constB45))),
% 17.21/12.42 inference(unit_resolution,[status(thm)],[34574, 23546])).
% 17.21/12.42 tff(34576,plain,
% 17.21/12.42 ((v137(constB45) | v142(constB45)) | (~v142(constB45))),
% 17.21/12.42 inference(tautology,[status(thm)],[])).
% 17.21/12.42 tff(34577,plain,
% 17.21/12.42 (v137(constB45) | v142(constB45)),
% 17.21/12.42 inference(unit_resolution,[status(thm)],[34576, 34566])).
% 17.21/12.42 tff(34578,plain,
% 17.21/12.42 ((~(v136(constB45) <=> (v137(constB45) | v142(constB45)))) | v136(constB45) | (~(v137(constB45) | v142(constB45)))),
% 17.21/12.42 inference(tautology,[status(thm)],[])).
% 17.21/12.42 tff(34579,plain,
% 17.21/12.42 (v136(constB45)),
% 17.21/12.42 inference(unit_resolution,[status(thm)],[34578, 34577, 34575])).
% 17.21/12.42 tff(34580,plain,
% 17.21/12.42 ((v136(constB45) | v145(constB45)) | (~v136(constB45))),
% 17.21/12.42 inference(tautology,[status(thm)],[])).
% 17.21/12.42 tff(34581,plain,
% 17.21/12.42 (v136(constB45) | v145(constB45)),
% 17.21/12.42 inference(unit_resolution,[status(thm)],[34580, 34579])).
% 17.21/12.42 tff(34582,plain,
% 17.21/12.42 ((~(v135(constB45) <=> (v136(constB45) | v145(constB45)))) | v135(constB45) | (~(v136(constB45) | v145(constB45)))),
% 17.21/12.42 inference(tautology,[status(thm)],[])).
% 17.21/12.42 tff(34583,plain,
% 17.21/12.42 (v135(constB45)),
% 17.21/12.42 inference(unit_resolution,[status(thm)],[34582, 34581, 34573])).
% 17.21/12.42 tff(34584,plain,
% 17.21/12.42 (((~![VarNext: $i] : ((~v135(VarNext)) | (v86(VarNext) <=> v148(VarNext)))) | ((~v135(constB45)) | (v86(constB45) <=> v148(constB45)))) <=> ((~![VarNext: $i] : ((~v135(VarNext)) | (v86(VarNext) <=> v148(VarNext)))) | (~v135(constB45)) | (v86(constB45) <=> v148(constB45)))),
% 17.21/12.42 inference(rewrite,[status(thm)],[])).
% 17.21/12.42 tff(34585,plain,
% 17.21/12.42 ((~![VarNext: $i] : ((~v135(VarNext)) | (v86(VarNext) <=> v148(VarNext)))) | ((~v135(constB45)) | (v86(constB45) <=> v148(constB45)))),
% 17.21/12.42 inference(quant_inst,[status(thm)],[])).
% 17.21/12.42 tff(34586,plain,
% 17.21/12.42 ((~![VarNext: $i] : ((~v135(VarNext)) | (v86(VarNext) <=> v148(VarNext)))) | (~v135(constB45)) | (v86(constB45) <=> v148(constB45))),
% 17.21/12.42 inference(modus_ponens,[status(thm)],[34585, 34584])).
% 17.21/12.42 tff(34587,plain,
% 17.21/12.42 ((~v135(constB45)) | (v86(constB45) <=> v148(constB45))),
% 17.21/12.42 inference(unit_resolution,[status(thm)],[34586, 23566])).
% 17.21/12.42 tff(34588,plain,
% 17.21/12.42 (v86(constB45) <=> v148(constB45)),
% 17.21/12.42 inference(unit_resolution,[status(thm)],[34587, 34583])).
% 17.21/12.42 tff(34589,plain,
% 17.21/12.42 ((~(v86(constB45) <=> v148(constB45))) | v86(constB45) | (~v148(constB45))),
% 17.21/12.42 inference(tautology,[status(thm)],[])).
% 17.21/12.42 tff(34590,plain,
% 17.21/12.42 (v86(constB45)),
% 17.21/12.42 inference(unit_resolution,[status(thm)],[34589, 34588, 34571])).
% 17.21/12.42 tff(34591,plain,
% 17.21/12.42 ($false),
% 17.21/12.42 inference(unit_resolution,[status(thm)],[34590, 34531])).
% 17.21/12.42 tff(34592,plain,(~(constB45 = VarCurr!0)), inference(lemma,lemma(discharge,[]))).
% 17.21/12.42 tff(34593,assumption,(constB125 = VarCurr!0), introduced(assumption)).
% 17.21/12.42 tff(34594,plain,
% 17.21/12.42 (v86(constB125) <=> v86(VarCurr!0)),
% 17.21/12.42 inference(monotonicity,[status(thm)],[34593])).
% 17.21/12.42 tff(34595,plain,
% 17.21/12.42 (v86(VarCurr!0) <=> v86(constB125)),
% 17.21/12.42 inference(symmetry,[status(thm)],[34594])).
% 17.21/12.42 tff(34596,plain,
% 17.21/12.42 ((~v86(VarCurr!0)) <=> (~v86(constB125))),
% 17.21/12.42 inference(monotonicity,[status(thm)],[34595])).
% 17.21/12.42 tff(34597,plain,
% 17.21/12.42 (~v86(constB125)),
% 17.21/12.42 inference(modus_ponens,[status(thm)],[20649, 34596])).
% 17.21/12.42 tff(34598,plain,
% 17.21/12.42 (((~![VarCurr: $i] : (v148(VarCurr) | (~v142(VarCurr)))) | (v148(constB125) | (~v142(constB125)))) <=> ((~![VarCurr: $i] : (v148(VarCurr) | (~v142(VarCurr)))) | v148(constB125) | (~v142(constB125)))),
% 17.21/12.42 inference(rewrite,[status(thm)],[])).
% 17.21/12.42 tff(34599,plain,
% 17.21/12.42 ((~![VarCurr: $i] : (v148(VarCurr) | (~v142(VarCurr)))) | (v148(constB125) | (~v142(constB125)))),
% 17.21/12.42 inference(quant_inst,[status(thm)],[])).
% 17.21/12.42 tff(34600,plain,
% 17.21/12.42 ((~![VarCurr: $i] : (v148(VarCurr) | (~v142(VarCurr)))) | v148(constB125) | (~v142(constB125))),
% 17.21/12.42 inference(modus_ponens,[status(thm)],[34599, 34598])).
% 17.21/12.42 tff(34601,plain,
% 17.21/12.42 (v148(constB125) | (~v142(constB125))),
% 17.21/12.42 inference(unit_resolution,[status(thm)],[34600, 23525])).
% 17.21/12.42 tff(34602,plain,
% 17.21/12.42 (v148(constB125)),
% 17.21/12.42 inference(unit_resolution,[status(thm)],[34601, 33999])).
% 17.21/12.42 tff(34603,plain,
% 17.21/12.42 ((~![VarCurr: $i] : (v135(VarCurr) <=> (v136(VarCurr) | v145(VarCurr)))) | (v135(constB125) <=> (v136(constB125) | v145(constB125)))),
% 17.21/12.42 inference(quant_inst,[status(thm)],[])).
% 17.21/12.42 tff(34604,plain,
% 17.21/12.42 (v135(constB125) <=> (v136(constB125) | v145(constB125))),
% 17.21/12.42 inference(unit_resolution,[status(thm)],[34603, 23537])).
% 17.21/12.42 tff(34605,plain,
% 17.21/12.42 ((~![VarCurr: $i] : (v136(VarCurr) <=> (v137(VarCurr) | v142(VarCurr)))) | (v136(constB125) <=> (v137(constB125) | v142(constB125)))),
% 17.21/12.42 inference(quant_inst,[status(thm)],[])).
% 17.21/12.42 tff(34606,plain,
% 17.21/12.42 (v136(constB125) <=> (v137(constB125) | v142(constB125))),
% 17.21/12.42 inference(unit_resolution,[status(thm)],[34605, 23546])).
% 17.21/12.42 tff(34607,plain,
% 17.21/12.42 ((v137(constB125) | v142(constB125)) | (~v142(constB125))),
% 17.21/12.42 inference(tautology,[status(thm)],[])).
% 17.21/12.42 tff(34608,plain,
% 17.21/12.42 (v137(constB125) | v142(constB125)),
% 17.21/12.42 inference(unit_resolution,[status(thm)],[34607, 33999])).
% 17.21/12.42 tff(34609,plain,
% 17.21/12.42 ((~(v136(constB125) <=> (v137(constB125) | v142(constB125)))) | v136(constB125) | (~(v137(constB125) | v142(constB125)))),
% 17.21/12.42 inference(tautology,[status(thm)],[])).
% 17.21/12.42 tff(34610,plain,
% 17.21/12.42 (v136(constB125)),
% 17.21/12.42 inference(unit_resolution,[status(thm)],[34609, 34608, 34606])).
% 17.21/12.42 tff(34611,plain,
% 17.21/12.42 ((v136(constB125) | v145(constB125)) | (~v136(constB125))),
% 17.21/12.42 inference(tautology,[status(thm)],[])).
% 17.21/12.42 tff(34612,plain,
% 17.21/12.42 (v136(constB125) | v145(constB125)),
% 17.21/12.42 inference(unit_resolution,[status(thm)],[34611, 34610])).
% 17.21/12.42 tff(34613,plain,
% 17.21/12.42 ((~(v135(constB125) <=> (v136(constB125) | v145(constB125)))) | v135(constB125) | (~(v136(constB125) | v145(constB125)))),
% 17.21/12.42 inference(tautology,[status(thm)],[])).
% 17.21/12.42 tff(34614,plain,
% 17.21/12.42 (v135(constB125)),
% 17.21/12.42 inference(unit_resolution,[status(thm)],[34613, 34612, 34604])).
% 17.21/12.42 tff(34615,plain,
% 17.21/12.42 (((~![VarNext: $i] : ((~v135(VarNext)) | (v86(VarNext) <=> v148(VarNext)))) | ((~v135(constB125)) | (v86(constB125) <=> v148(constB125)))) <=> ((~![VarNext: $i] : ((~v135(VarNext)) | (v86(VarNext) <=> v148(VarNext)))) | (~v135(constB125)) | (v86(constB125) <=> v148(constB125)))),
% 17.21/12.42 inference(rewrite,[status(thm)],[])).
% 17.21/12.42 tff(34616,plain,
% 17.21/12.42 ((~![VarNext: $i] : ((~v135(VarNext)) | (v86(VarNext) <=> v148(VarNext)))) | ((~v135(constB125)) | (v86(constB125) <=> v148(constB125)))),
% 17.21/12.42 inference(quant_inst,[status(thm)],[])).
% 17.21/12.42 tff(34617,plain,
% 17.21/12.42 ((~![VarNext: $i] : ((~v135(VarNext)) | (v86(VarNext) <=> v148(VarNext)))) | (~v135(constB125)) | (v86(constB125) <=> v148(constB125))),
% 17.21/12.42 inference(modus_ponens,[status(thm)],[34616, 34615])).
% 17.21/12.42 tff(34618,plain,
% 17.21/12.42 ((~v135(constB125)) | (v86(constB125) <=> v148(constB125))),
% 17.21/12.43 inference(unit_resolution,[status(thm)],[34617, 23566])).
% 17.21/12.43 tff(34619,plain,
% 17.21/12.43 (v86(constB125) <=> v148(constB125)),
% 17.21/12.43 inference(unit_resolution,[status(thm)],[34618, 34614])).
% 17.21/12.43 tff(34620,plain,
% 17.21/12.43 ((~(v86(constB125) <=> v148(constB125))) | v86(constB125) | (~v148(constB125))),
% 17.21/12.43 inference(tautology,[status(thm)],[])).
% 17.21/12.43 tff(34621,plain,
% 17.21/12.43 (v86(constB125)),
% 17.21/12.43 inference(unit_resolution,[status(thm)],[34620, 34619, 34602])).
% 17.21/12.43 tff(34622,plain,
% 17.21/12.43 ($false),
% 17.21/12.43 inference(unit_resolution,[status(thm)],[34621, 34597])).
% 17.21/12.43 tff(34623,plain,(~(constB125 = VarCurr!0)), inference(lemma,lemma(discharge,[]))).
% 17.21/12.43 tff(34624,assumption,(constB91 = VarCurr!0), introduced(assumption)).
% 17.21/12.43 tff(34625,plain,
% 17.21/12.43 (v193(constB91) <=> v193(VarCurr!0)),
% 17.21/12.43 inference(monotonicity,[status(thm)],[34624])).
% 17.21/12.43 tff(34626,plain,
% 17.21/12.43 (v193(VarCurr!0) <=> v193(constB91)),
% 17.21/12.43 inference(symmetry,[status(thm)],[34625])).
% 17.21/12.43 tff(34627,plain,
% 17.21/12.43 (v193(constB91)),
% 17.21/12.43 inference(modus_ponens,[status(thm)],[59, 34626])).
% 17.21/12.43 tff(34628,plain,
% 17.21/12.43 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v193(VarNext) <=> v191(VarCurr)))) | ((~nextState(constB90, constB91)) | (v193(constB91) <=> v191(constB90)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v193(VarNext) <=> v191(VarCurr)))) | (~nextState(constB90, constB91)) | (v193(constB91) <=> v191(constB90)))),
% 17.21/12.43 inference(rewrite,[status(thm)],[])).
% 17.21/12.43 tff(34629,plain,
% 17.21/12.43 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v193(VarNext) <=> v191(VarCurr)))) | ((~nextState(constB90, constB91)) | (v193(constB91) <=> v191(constB90)))),
% 17.21/12.43 inference(quant_inst,[status(thm)],[])).
% 17.21/12.43 tff(34630,plain,
% 17.21/12.43 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v193(VarNext) <=> v191(VarCurr)))) | (~nextState(constB90, constB91)) | (v193(constB91) <=> v191(constB90))),
% 17.21/12.43 inference(modus_ponens,[status(thm)],[34629, 34628])).
% 17.21/12.43 tff(34631,plain,
% 17.21/12.43 (v193(constB91) <=> v191(constB90)),
% 17.21/12.43 inference(unit_resolution,[status(thm)],[34630, 744, 70])).
% 17.21/12.43 tff(34632,plain,
% 17.21/12.43 ((~![VarCurr: $i] : (v191(VarCurr) <=> (v194(VarCurr) | v198(VarCurr)))) | (v191(constB90) <=> (v194(constB90) | v198(constB90)))),
% 17.21/12.43 inference(quant_inst,[status(thm)],[])).
% 17.21/12.43 tff(34633,plain,
% 17.21/12.43 (v191(constB90) <=> (v194(constB90) | v198(constB90))),
% 17.21/12.43 inference(unit_resolution,[status(thm)],[34632, 84])).
% 17.21/12.43 tff(34634,plain,
% 17.21/12.43 ((~![VarCurr: $i] : (v198(VarCurr) <=> (~((~v199(VarCurr)) | (~v200(VarCurr)))))) | (v198(constB90) <=> (~((~v199(constB90)) | (~v200(constB90)))))),
% 17.21/12.43 inference(quant_inst,[status(thm)],[])).
% 17.21/12.43 tff(34635,plain,
% 17.21/12.43 (v198(constB90) <=> (~((~v199(constB90)) | (~v200(constB90))))),
% 17.21/12.43 inference(unit_resolution,[status(thm)],[34634, 96])).
% 17.21/12.43 tff(34636,plain,
% 17.21/12.43 ((~![VarCurr: $i] : (v200(VarCurr) <=> (~((~v197(VarCurr)) | (~v201(VarCurr)))))) | (v200(constB90) <=> (~((~v197(constB90)) | (~v201(constB90)))))),
% 17.21/12.43 inference(quant_inst,[status(thm)],[])).
% 17.21/12.43 tff(34637,plain,
% 17.21/12.43 (v200(constB90) <=> (~((~v197(constB90)) | (~v201(constB90))))),
% 17.21/12.43 inference(unit_resolution,[status(thm)],[34636, 108])).
% 17.21/12.43 tff(34638,plain,
% 17.21/12.43 ((~![VarCurr: $i] : (v197(VarCurr) <=> (~((~v39(VarCurr)) | (~v9(VarCurr)))))) | (v197(constB90) <=> (~((~v39(constB90)) | (~v9(constB90)))))),
% 17.21/12.43 inference(quant_inst,[status(thm)],[])).
% 17.21/12.43 tff(34639,plain,
% 17.21/12.43 (v197(constB90) <=> (~((~v39(constB90)) | (~v9(constB90))))),
% 17.21/12.43 inference(unit_resolution,[status(thm)],[34638, 120])).
% 17.21/12.43 tff(34640,plain,
% 17.21/12.43 ((~![VarCurr: $i] : ((~v39(VarCurr)) <=> v1(VarCurr))) | ((~v39(constB90)) <=> v1(constB90))),
% 17.21/12.43 inference(quant_inst,[status(thm)],[])).
% 17.21/12.43 tff(34641,plain,
% 17.21/12.43 ((~v39(constB90)) <=> v1(constB90)),
% 17.21/12.43 inference(unit_resolution,[status(thm)],[34640, 129])).
% 17.21/12.43 tff(34642,plain,
% 17.21/12.43 ((~((~v39(constB90)) <=> v1(constB90))) | (~v39(constB90)) | (~v1(constB90))),
% 17.21/12.43 inference(tautology,[status(thm)],[])).
% 17.21/12.43 tff(34643,plain,
% 17.21/12.43 ((~((~v39(constB90)) <=> v1(constB90))) | (~v39(constB90))),
% 17.21/12.43 inference(unit_resolution,[status(thm)],[34642, 806])).
% 17.21/12.43 tff(34644,plain,
% 17.21/12.43 (~v39(constB90)),
% 17.21/12.43 inference(unit_resolution,[status(thm)],[34643, 34641])).
% 17.21/12.43 tff(34645,plain,
% 17.21/12.43 (((~v39(constB90)) | (~v9(constB90))) | v39(constB90)),
% 17.21/12.43 inference(tautology,[status(thm)],[])).
% 17.21/12.43 tff(34646,plain,
% 17.21/12.43 ((~v39(constB90)) | (~v9(constB90))),
% 17.21/12.43 inference(unit_resolution,[status(thm)],[34645, 34644])).
% 17.21/12.43 tff(34647,plain,
% 17.21/12.43 ((~(v197(constB90) <=> (~((~v39(constB90)) | (~v9(constB90)))))) | (~v197(constB90)) | (~((~v39(constB90)) | (~v9(constB90))))),
% 17.21/12.43 inference(tautology,[status(thm)],[])).
% 17.21/12.43 tff(34648,plain,
% 17.21/12.43 ((~(v197(constB90) <=> (~((~v39(constB90)) | (~v9(constB90)))))) | (~v197(constB90))),
% 17.21/12.43 inference(unit_resolution,[status(thm)],[34647, 34646])).
% 17.21/12.43 tff(34649,plain,
% 17.21/12.43 (~v197(constB90)),
% 17.21/12.43 inference(unit_resolution,[status(thm)],[34648, 34639])).
% 17.21/12.43 tff(34650,plain,
% 17.21/12.43 (((~v197(constB90)) | (~v201(constB90))) | v197(constB90)),
% 17.21/12.43 inference(tautology,[status(thm)],[])).
% 17.21/12.43 tff(34651,plain,
% 17.21/12.43 ((~v197(constB90)) | (~v201(constB90))),
% 17.21/12.43 inference(unit_resolution,[status(thm)],[34650, 34649])).
% 17.21/12.43 tff(34652,plain,
% 17.21/12.43 ((~(v200(constB90) <=> (~((~v197(constB90)) | (~v201(constB90)))))) | (~v200(constB90)) | (~((~v197(constB90)) | (~v201(constB90))))),
% 17.21/12.43 inference(tautology,[status(thm)],[])).
% 17.21/12.43 tff(34653,plain,
% 17.21/12.43 ((~(v200(constB90) <=> (~((~v197(constB90)) | (~v201(constB90)))))) | (~v200(constB90))),
% 17.21/12.43 inference(unit_resolution,[status(thm)],[34652, 34651])).
% 17.21/12.43 tff(34654,plain,
% 17.21/12.43 (~v200(constB90)),
% 17.21/12.43 inference(unit_resolution,[status(thm)],[34653, 34637])).
% 17.21/12.43 tff(34655,plain,
% 17.21/12.43 (((~v199(constB90)) | (~v200(constB90))) | v200(constB90)),
% 17.21/12.43 inference(tautology,[status(thm)],[])).
% 17.21/12.43 tff(34656,plain,
% 17.21/12.43 ((~v199(constB90)) | (~v200(constB90))),
% 17.21/12.43 inference(unit_resolution,[status(thm)],[34655, 34654])).
% 17.21/12.43 tff(34657,plain,
% 17.21/12.43 ((~(v198(constB90) <=> (~((~v199(constB90)) | (~v200(constB90)))))) | (~v198(constB90)) | (~((~v199(constB90)) | (~v200(constB90))))),
% 17.21/12.43 inference(tautology,[status(thm)],[])).
% 17.21/12.43 tff(34658,plain,
% 17.21/12.43 (~v198(constB90)),
% 17.21/12.43 inference(unit_resolution,[status(thm)],[34657, 34656, 34635])).
% 17.21/12.43 tff(34659,plain,
% 17.21/12.43 (((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB90) <=> (~((~v157(constB90)) | (~v195(constB90)))))) <=> ((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB90) <=> (~((~v157(constB90)) | (~v195(constB90))))))),
% 17.21/12.43 inference(rewrite,[status(thm)],[])).
% 17.21/12.43 tff(34660,plain,
% 17.21/12.43 ((v194(constB90) <=> (~((~v195(constB90)) | (~v157(constB90))))) <=> (v194(constB90) <=> (~((~v157(constB90)) | (~v195(constB90)))))),
% 17.21/12.43 inference(rewrite,[status(thm)],[])).
% 17.21/12.43 tff(34661,plain,
% 17.21/12.43 (((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB90) <=> (~((~v195(constB90)) | (~v157(constB90)))))) <=> ((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB90) <=> (~((~v157(constB90)) | (~v195(constB90))))))),
% 17.21/12.43 inference(monotonicity,[status(thm)],[34660])).
% 17.21/12.43 tff(34662,plain,
% 17.21/12.43 (((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB90) <=> (~((~v195(constB90)) | (~v157(constB90)))))) <=> ((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB90) <=> (~((~v157(constB90)) | (~v195(constB90))))))),
% 17.21/12.43 inference(transitivity,[status(thm)],[34661, 34659])).
% 17.21/12.43 tff(34663,plain,
% 17.21/12.43 ((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB90) <=> (~((~v195(constB90)) | (~v157(constB90)))))),
% 17.21/12.43 inference(quant_inst,[status(thm)],[])).
% 17.21/12.43 tff(34664,plain,
% 17.21/12.43 ((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB90) <=> (~((~v157(constB90)) | (~v195(constB90)))))),
% 17.21/12.43 inference(modus_ponens,[status(thm)],[34663, 34662])).
% 17.21/12.43 tff(34665,plain,
% 17.21/12.43 (v194(constB90) <=> (~((~v157(constB90)) | (~v195(constB90))))),
% 17.21/12.43 inference(unit_resolution,[status(thm)],[34664, 161])).
% 17.21/12.43 tff(34666,plain,
% 17.21/12.43 ((~![VarNext: $i] : (v157(VarNext) <=> v193(VarNext))) | (v157(constB90) <=> v193(constB90))),
% 17.21/12.43 inference(quant_inst,[status(thm)],[])).
% 17.21/12.43 tff(34667,plain,
% 17.21/12.43 (v157(constB90) <=> v193(constB90)),
% 17.21/12.43 inference(unit_resolution,[status(thm)],[34666, 13])).
% 17.21/12.43 tff(34668,plain,
% 17.21/12.43 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v193(VarNext) <=> v191(VarCurr)))) | ((~nextState(constB89, constB90)) | (v193(constB90) <=> v191(constB89)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v193(VarNext) <=> v191(VarCurr)))) | (~nextState(constB89, constB90)) | (v193(constB90) <=> v191(constB89)))),
% 17.21/12.43 inference(rewrite,[status(thm)],[])).
% 17.21/12.43 tff(34669,plain,
% 17.21/12.43 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v193(VarNext) <=> v191(VarCurr)))) | ((~nextState(constB89, constB90)) | (v193(constB90) <=> v191(constB89)))),
% 17.21/12.43 inference(quant_inst,[status(thm)],[])).
% 17.21/12.43 tff(34670,plain,
% 17.21/12.43 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v193(VarNext) <=> v191(VarCurr)))) | (~nextState(constB89, constB90)) | (v193(constB90) <=> v191(constB89))),
% 17.21/12.43 inference(modus_ponens,[status(thm)],[34669, 34668])).
% 17.21/12.43 tff(34671,plain,
% 17.21/12.43 (v193(constB90) <=> v191(constB89)),
% 17.21/12.43 inference(unit_resolution,[status(thm)],[34670, 776, 70])).
% 17.21/12.43 tff(34672,plain,
% 17.21/12.43 ((~![VarCurr: $i] : (v191(VarCurr) <=> (v194(VarCurr) | v198(VarCurr)))) | (v191(constB89) <=> (v194(constB89) | v198(constB89)))),
% 17.21/12.43 inference(quant_inst,[status(thm)],[])).
% 17.21/12.43 tff(34673,plain,
% 17.21/12.43 (v191(constB89) <=> (v194(constB89) | v198(constB89))),
% 17.21/12.43 inference(unit_resolution,[status(thm)],[34672, 84])).
% 17.21/12.43 tff(34674,plain,
% 17.21/12.43 (((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB89) <=> (~((~v157(constB89)) | (~v195(constB89)))))) <=> ((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB89) <=> (~((~v157(constB89)) | (~v195(constB89))))))),
% 17.21/12.43 inference(rewrite,[status(thm)],[])).
% 17.21/12.43 tff(34675,plain,
% 17.21/12.43 ((v194(constB89) <=> (~((~v195(constB89)) | (~v157(constB89))))) <=> (v194(constB89) <=> (~((~v157(constB89)) | (~v195(constB89)))))),
% 17.21/12.43 inference(rewrite,[status(thm)],[])).
% 17.21/12.43 tff(34676,plain,
% 17.21/12.43 (((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB89) <=> (~((~v195(constB89)) | (~v157(constB89)))))) <=> ((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB89) <=> (~((~v157(constB89)) | (~v195(constB89))))))),
% 17.21/12.43 inference(monotonicity,[status(thm)],[34675])).
% 17.21/12.43 tff(34677,plain,
% 17.21/12.43 (((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB89) <=> (~((~v195(constB89)) | (~v157(constB89)))))) <=> ((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB89) <=> (~((~v157(constB89)) | (~v195(constB89))))))),
% 17.21/12.43 inference(transitivity,[status(thm)],[34676, 34674])).
% 17.21/12.43 tff(34678,plain,
% 17.21/12.43 ((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB89) <=> (~((~v195(constB89)) | (~v157(constB89)))))),
% 17.21/12.43 inference(quant_inst,[status(thm)],[])).
% 17.21/12.43 tff(34679,plain,
% 17.21/12.43 ((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB89) <=> (~((~v157(constB89)) | (~v195(constB89)))))),
% 17.21/12.43 inference(modus_ponens,[status(thm)],[34678, 34677])).
% 17.21/12.43 tff(34680,plain,
% 17.21/12.43 (v194(constB89) <=> (~((~v157(constB89)) | (~v195(constB89))))),
% 17.21/12.43 inference(unit_resolution,[status(thm)],[34679, 161])).
% 17.21/12.43 tff(34681,plain,
% 17.21/12.43 ((~![VarCurr: $i] : ((~v195(VarCurr)) <=> v196(VarCurr))) | ((~v195(constB89)) <=> v196(constB89))),
% 17.21/12.43 inference(quant_inst,[status(thm)],[])).
% 17.21/12.43 tff(34682,plain,
% 17.21/12.43 ((~v195(constB89)) <=> v196(constB89)),
% 17.21/12.43 inference(unit_resolution,[status(thm)],[34681, 193])).
% 17.21/12.43 tff(34683,plain,
% 17.21/12.43 ((~![VarCurr: $i] : (v196(VarCurr) <=> (v197(VarCurr) | v26(VarCurr)))) | (v196(constB89) <=> (v197(constB89) | v26(constB89)))),
% 17.21/12.43 inference(quant_inst,[status(thm)],[])).
% 17.21/12.43 tff(34684,plain,
% 17.21/12.43 (v196(constB89) <=> (v197(constB89) | v26(constB89))),
% 17.21/12.43 inference(unit_resolution,[status(thm)],[34683, 202])).
% 17.21/12.43 tff(34685,plain,
% 17.21/12.43 ((~![VarCurr: $i] : (v197(VarCurr) <=> (~((~v39(VarCurr)) | (~v9(VarCurr)))))) | (v197(constB89) <=> (~((~v39(constB89)) | (~v9(constB89)))))),
% 17.21/12.43 inference(quant_inst,[status(thm)],[])).
% 17.21/12.43 tff(34686,plain,
% 17.21/12.43 (v197(constB89) <=> (~((~v39(constB89)) | (~v9(constB89))))),
% 17.21/12.43 inference(unit_resolution,[status(thm)],[34685, 120])).
% 17.21/12.43 tff(34687,plain,
% 17.21/12.43 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | ((~nextState(constB89, constB90)) | (v13(constB90) <=> v9(constB89)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | (~nextState(constB89, constB90)) | (v13(constB90) <=> v9(constB89)))),
% 17.21/12.43 inference(rewrite,[status(thm)],[])).
% 17.21/12.43 tff(34688,plain,
% 17.21/12.43 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | ((~nextState(constB89, constB90)) | (v13(constB90) <=> v9(constB89)))),
% 17.21/12.43 inference(quant_inst,[status(thm)],[])).
% 17.21/12.43 tff(34689,plain,
% 17.21/12.43 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | (~nextState(constB89, constB90)) | (v13(constB90) <=> v9(constB89))),
% 17.21/12.43 inference(modus_ponens,[status(thm)],[34688, 34687])).
% 17.21/12.43 tff(34690,plain,
% 17.21/12.43 (v13(constB90) <=> v9(constB89)),
% 17.21/12.43 inference(unit_resolution,[status(thm)],[34689, 776, 216])).
% 17.21/12.43 tff(34691,plain,
% 17.21/12.43 ((~![VarNext: $i] : (v6(VarNext) <=> v13(VarNext))) | (v6(constB90) <=> v13(constB90))),
% 17.21/12.43 inference(quant_inst,[status(thm)],[])).
% 17.21/12.43 tff(34692,plain,
% 17.21/12.43 (v6(constB90) <=> v13(constB90)),
% 17.21/12.43 inference(unit_resolution,[status(thm)],[34691, 230])).
% 17.21/12.43 tff(34693,plain,
% 17.21/12.43 ((~![VarCurr: $i] : ((~v21(VarCurr)) <=> v6(VarCurr))) | ((~v21(constB90)) <=> v6(constB90))),
% 17.21/12.43 inference(quant_inst,[status(thm)],[])).
% 17.21/12.43 tff(34694,plain,
% 17.21/12.43 ((~v21(constB90)) <=> v6(constB90)),
% 17.21/12.43 inference(unit_resolution,[status(thm)],[34693, 239])).
% 17.21/12.43 tff(34695,plain,
% 17.21/12.43 ((~![VarCurr: $i] : (v19(VarCurr) <=> (v20(VarCurr) | v21(VarCurr)))) | (v19(constB90) <=> (v20(constB90) | v21(constB90)))),
% 17.21/12.43 inference(quant_inst,[status(thm)],[])).
% 17.21/12.43 tff(34696,plain,
% 17.21/12.43 (v19(constB90) <=> (v20(constB90) | v21(constB90))),
% 17.21/12.43 inference(unit_resolution,[status(thm)],[34695, 248])).
% 17.21/12.43 tff(34697,plain,
% 17.21/12.43 ((~![VarCurr: $i] : (v18(VarCurr) <=> (~((~v19(VarCurr)) | (~v22(VarCurr)))))) | (v18(constB90) <=> (~((~v19(constB90)) | (~v22(constB90)))))),
% 17.21/12.43 inference(quant_inst,[status(thm)],[])).
% 17.21/12.43 tff(34698,plain,
% 17.21/12.43 (v18(constB90) <=> (~((~v19(constB90)) | (~v22(constB90))))),
% 17.21/12.43 inference(unit_resolution,[status(thm)],[34697, 260])).
% 17.21/12.43 tff(34699,plain,
% 17.21/12.43 ((~![VarCurr: $i] : ((~v4(VarCurr)) <=> v18(VarCurr))) | ((~v4(constB90)) <=> v18(constB90))),
% 17.21/12.43 inference(quant_inst,[status(thm)],[])).
% 17.21/12.43 tff(34700,plain,
% 17.21/12.43 ((~v4(constB90)) <=> v18(constB90)),
% 17.21/12.43 inference(unit_resolution,[status(thm)],[34699, 269])).
% 17.21/12.43 tff(34701,plain,
% 17.21/12.43 ((~![VarCurr: $i] : v4(VarCurr)) | v4(constB90)),
% 17.21/12.43 inference(quant_inst,[status(thm)],[])).
% 17.21/12.43 tff(34702,plain,
% 17.21/12.43 (v4(constB90)),
% 17.21/12.43 inference(unit_resolution,[status(thm)],[34701, 278])).
% 17.21/12.43 tff(34703,plain,
% 17.21/12.43 ((~((~v4(constB90)) <=> v18(constB90))) | (~v4(constB90)) | (~v18(constB90))),
% 17.21/12.43 inference(tautology,[status(thm)],[])).
% 17.21/12.43 tff(34704,plain,
% 17.21/12.43 (~v18(constB90)),
% 17.21/12.43 inference(unit_resolution,[status(thm)],[34703, 34702, 34700])).
% 17.21/12.43 tff(34705,plain,
% 17.21/12.43 ((~(v18(constB90) <=> (~((~v19(constB90)) | (~v22(constB90)))))) | v18(constB90) | ((~v19(constB90)) | (~v22(constB90)))),
% 17.21/12.43 inference(tautology,[status(thm)],[])).
% 17.21/12.43 tff(34706,plain,
% 17.21/12.43 ((~v19(constB90)) | (~v22(constB90))),
% 17.21/12.43 inference(unit_resolution,[status(thm)],[34705, 34704, 34698])).
% 17.21/12.43 tff(34707,plain,
% 17.21/12.43 ((~![VarCurr: $i] : (v22(VarCurr) <=> (v1(VarCurr) | v6(VarCurr)))) | (v22(constB90) <=> (v1(constB90) | v6(constB90)))),
% 17.21/12.43 inference(quant_inst,[status(thm)],[])).
% 17.21/12.43 tff(34708,plain,
% 17.21/12.43 (v22(constB90) <=> (v1(constB90) | v6(constB90))),
% 17.21/12.43 inference(unit_resolution,[status(thm)],[34707, 291])).
% 17.21/12.43 tff(34709,plain,
% 17.21/12.43 ((v1(constB90) | v6(constB90)) | (~v1(constB90))),
% 17.21/12.43 inference(tautology,[status(thm)],[])).
% 17.21/12.43 tff(34710,plain,
% 17.21/12.43 (v1(constB90) | v6(constB90)),
% 17.21/12.43 inference(unit_resolution,[status(thm)],[34709, 806])).
% 17.21/12.43 tff(34711,plain,
% 17.21/12.43 ((~(v22(constB90) <=> (v1(constB90) | v6(constB90)))) | v22(constB90) | (~(v1(constB90) | v6(constB90)))),
% 17.21/12.43 inference(tautology,[status(thm)],[])).
% 17.21/12.43 tff(34712,plain,
% 17.21/12.43 ((~(v22(constB90) <=> (v1(constB90) | v6(constB90)))) | v22(constB90)),
% 17.21/12.43 inference(unit_resolution,[status(thm)],[34711, 34710])).
% 17.21/12.43 tff(34713,plain,
% 17.21/12.43 (v22(constB90)),
% 17.21/12.43 inference(unit_resolution,[status(thm)],[34712, 34708])).
% 17.21/12.43 tff(34714,plain,
% 17.21/12.43 ((~((~v19(constB90)) | (~v22(constB90)))) | (~v19(constB90)) | (~v22(constB90))),
% 17.21/12.43 inference(tautology,[status(thm)],[])).
% 17.21/12.43 tff(34715,plain,
% 17.21/12.43 ((~((~v19(constB90)) | (~v22(constB90)))) | (~v19(constB90))),
% 17.21/12.43 inference(unit_resolution,[status(thm)],[34714, 34713])).
% 17.21/12.43 tff(34716,plain,
% 17.21/12.43 (~v19(constB90)),
% 17.21/12.43 inference(unit_resolution,[status(thm)],[34715, 34706])).
% 17.21/12.43 tff(34717,plain,
% 17.21/12.43 ((~(v19(constB90) <=> (v20(constB90) | v21(constB90)))) | v19(constB90) | (~(v20(constB90) | v21(constB90)))),
% 17.21/12.43 inference(tautology,[status(thm)],[])).
% 17.21/12.43 tff(34718,plain,
% 17.21/12.43 (~(v20(constB90) | v21(constB90))),
% 17.21/12.43 inference(unit_resolution,[status(thm)],[34717, 34716, 34696])).
% 17.21/12.43 tff(34719,plain,
% 17.21/12.43 ((v20(constB90) | v21(constB90)) | (~v21(constB90))),
% 17.21/12.43 inference(tautology,[status(thm)],[])).
% 17.21/12.43 tff(34720,plain,
% 17.21/12.43 (~v21(constB90)),
% 17.21/12.43 inference(unit_resolution,[status(thm)],[34719, 34718])).
% 17.21/12.43 tff(34721,plain,
% 17.21/12.43 ((~((~v21(constB90)) <=> v6(constB90))) | v21(constB90) | v6(constB90)),
% 17.21/12.43 inference(tautology,[status(thm)],[])).
% 17.21/12.43 tff(34722,plain,
% 17.21/12.43 (v6(constB90)),
% 17.21/12.43 inference(unit_resolution,[status(thm)],[34721, 34720, 34694])).
% 17.21/12.43 tff(34723,plain,
% 17.21/12.43 ((~(v6(constB90) <=> v13(constB90))) | (~v6(constB90)) | v13(constB90)),
% 17.21/12.43 inference(tautology,[status(thm)],[])).
% 17.21/12.43 tff(34724,plain,
% 17.21/12.43 (v13(constB90)),
% 17.21/12.43 inference(unit_resolution,[status(thm)],[34723, 34722, 34692])).
% 17.21/12.43 tff(34725,plain,
% 17.21/12.43 ((~(v13(constB90) <=> v9(constB89))) | (~v13(constB90)) | v9(constB89)),
% 17.21/12.43 inference(tautology,[status(thm)],[])).
% 17.21/12.43 tff(34726,plain,
% 17.21/12.43 (v9(constB89)),
% 17.21/12.43 inference(unit_resolution,[status(thm)],[34725, 34724, 34690])).
% 17.21/12.43 tff(34727,plain,
% 17.21/12.43 ((~![VarCurr: $i] : ((~v39(VarCurr)) <=> v1(VarCurr))) | ((~v39(constB89)) <=> v1(constB89))),
% 17.21/12.43 inference(quant_inst,[status(thm)],[])).
% 17.21/12.43 tff(34728,plain,
% 17.21/12.43 ((~v39(constB89)) <=> v1(constB89)),
% 17.21/12.43 inference(unit_resolution,[status(thm)],[34727, 129])).
% 17.21/12.43 tff(34729,plain,
% 17.21/12.43 ((~((~v39(constB89)) <=> v1(constB89))) | v39(constB89) | v1(constB89)),
% 17.21/12.43 inference(tautology,[status(thm)],[])).
% 17.21/12.43 tff(34730,plain,
% 17.21/12.43 ((~((~v39(constB89)) <=> v1(constB89))) | v39(constB89)),
% 17.21/12.43 inference(unit_resolution,[status(thm)],[34729, 798])).
% 17.21/12.43 tff(34731,plain,
% 17.21/12.43 (v39(constB89)),
% 17.21/12.43 inference(unit_resolution,[status(thm)],[34730, 34728])).
% 17.21/12.43 tff(34732,plain,
% 17.21/12.43 ((~((~v39(constB89)) | (~v9(constB89)))) | (~v39(constB89)) | (~v9(constB89))),
% 17.21/12.43 inference(tautology,[status(thm)],[])).
% 17.21/12.43 tff(34733,plain,
% 17.21/12.43 ((~((~v39(constB89)) | (~v9(constB89)))) | (~v9(constB89))),
% 17.21/12.43 inference(unit_resolution,[status(thm)],[34732, 34731])).
% 17.21/12.43 tff(34734,plain,
% 17.21/12.43 (~((~v39(constB89)) | (~v9(constB89)))),
% 17.21/12.43 inference(unit_resolution,[status(thm)],[34733, 34726])).
% 17.21/12.43 tff(34735,plain,
% 17.21/12.43 ((~(v197(constB89) <=> (~((~v39(constB89)) | (~v9(constB89)))))) | v197(constB89) | ((~v39(constB89)) | (~v9(constB89)))),
% 17.21/12.43 inference(tautology,[status(thm)],[])).
% 17.21/12.43 tff(34736,plain,
% 17.21/12.43 (v197(constB89)),
% 17.21/12.43 inference(unit_resolution,[status(thm)],[34735, 34734, 34686])).
% 17.21/12.43 tff(34737,plain,
% 17.21/12.43 ((v197(constB89) | v26(constB89)) | (~v197(constB89))),
% 17.21/12.43 inference(tautology,[status(thm)],[])).
% 17.21/12.43 tff(34738,plain,
% 17.21/12.43 (v197(constB89) | v26(constB89)),
% 17.21/12.43 inference(unit_resolution,[status(thm)],[34737, 34736])).
% 17.21/12.43 tff(34739,plain,
% 17.21/12.43 ((~(v196(constB89) <=> (v197(constB89) | v26(constB89)))) | v196(constB89) | (~(v197(constB89) | v26(constB89)))),
% 17.21/12.43 inference(tautology,[status(thm)],[])).
% 17.21/12.43 tff(34740,plain,
% 17.21/12.43 (v196(constB89)),
% 17.21/12.43 inference(unit_resolution,[status(thm)],[34739, 34738, 34684])).
% 17.21/12.43 tff(34741,plain,
% 17.21/12.44 ((~((~v195(constB89)) <=> v196(constB89))) | (~v195(constB89)) | (~v196(constB89))),
% 17.21/12.44 inference(tautology,[status(thm)],[])).
% 17.21/12.44 tff(34742,plain,
% 17.21/12.44 (~v195(constB89)),
% 17.21/12.44 inference(unit_resolution,[status(thm)],[34741, 34740, 34682])).
% 17.21/12.44 tff(34743,plain,
% 17.21/12.44 (((~v157(constB89)) | (~v195(constB89))) | v195(constB89)),
% 17.21/12.44 inference(tautology,[status(thm)],[])).
% 17.21/12.44 tff(34744,plain,
% 17.21/12.44 ((~v157(constB89)) | (~v195(constB89))),
% 17.21/12.44 inference(unit_resolution,[status(thm)],[34743, 34742])).
% 17.21/12.44 tff(34745,plain,
% 17.21/12.44 ((~(v194(constB89) <=> (~((~v157(constB89)) | (~v195(constB89)))))) | (~v194(constB89)) | (~((~v157(constB89)) | (~v195(constB89))))),
% 17.21/12.44 inference(tautology,[status(thm)],[])).
% 17.21/12.44 tff(34746,plain,
% 17.21/12.44 (~v194(constB89)),
% 17.21/12.44 inference(unit_resolution,[status(thm)],[34745, 34744, 34680])).
% 17.21/12.44 tff(34747,plain,
% 17.21/12.44 ((~![VarCurr: $i] : (v198(VarCurr) <=> (~((~v199(VarCurr)) | (~v200(VarCurr)))))) | (v198(constB89) <=> (~((~v199(constB89)) | (~v200(constB89)))))),
% 17.21/12.44 inference(quant_inst,[status(thm)],[])).
% 17.21/12.44 tff(34748,plain,
% 17.21/12.44 (v198(constB89) <=> (~((~v199(constB89)) | (~v200(constB89))))),
% 17.21/12.44 inference(unit_resolution,[status(thm)],[34747, 96])).
% 17.21/12.44 tff(34749,plain,
% 17.21/12.44 ((~![VarCurr: $i] : (v200(VarCurr) <=> (~((~v197(VarCurr)) | (~v201(VarCurr)))))) | (v200(constB89) <=> (~((~v197(constB89)) | (~v201(constB89)))))),
% 17.21/12.44 inference(quant_inst,[status(thm)],[])).
% 17.21/12.44 tff(34750,plain,
% 17.21/12.44 (v200(constB89) <=> (~((~v197(constB89)) | (~v201(constB89))))),
% 17.21/12.44 inference(unit_resolution,[status(thm)],[34749, 108])).
% 17.21/12.44 tff(34751,plain,
% 17.21/12.44 ((~![VarCurr: $i] : (v201(VarCurr) <=> (~((~v159(VarCurr)) | (~v161(VarCurr)))))) | (v201(constB89) <=> (~((~v159(constB89)) | (~v161(constB89)))))),
% 17.21/12.44 inference(quant_inst,[status(thm)],[])).
% 17.21/12.44 tff(34752,plain,
% 17.21/12.44 (v201(constB89) <=> (~((~v159(constB89)) | (~v161(constB89))))),
% 17.21/12.44 inference(unit_resolution,[status(thm)],[34751, 348])).
% 17.21/12.44 tff(34753,plain,
% 17.21/12.44 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v179(VarNext) <=> v180(VarNext)))) | ((~nextState(constB88, constB89)) | (v179(constB89) <=> v180(constB89)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v179(VarNext) <=> v180(VarNext)))) | (~nextState(constB88, constB89)) | (v179(constB89) <=> v180(constB89)))),
% 17.21/12.44 inference(rewrite,[status(thm)],[])).
% 17.21/12.44 tff(34754,plain,
% 17.21/12.44 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v179(VarNext) <=> v180(VarNext)))) | ((~nextState(constB88, constB89)) | (v179(constB89) <=> v180(constB89)))),
% 17.21/12.44 inference(quant_inst,[status(thm)],[])).
% 17.21/12.44 tff(34755,plain,
% 17.21/12.44 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v179(VarNext) <=> v180(VarNext)))) | (~nextState(constB88, constB89)) | (v179(constB89) <=> v180(constB89))),
% 17.21/12.44 inference(modus_ponens,[status(thm)],[34754, 34753])).
% 17.21/12.44 tff(34756,plain,
% 17.21/12.44 (v179(constB89) <=> v180(constB89)),
% 17.21/12.44 inference(unit_resolution,[status(thm)],[34755, 859, 13536])).
% 17.21/12.44 tff(34757,plain,
% 17.21/12.44 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> (~((~v181(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB88, constB89)) | (v180(constB89) <=> (~((~v1(constB89)) | (~v181(constB89))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> (~((~v181(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB88, constB89)) | (v180(constB89) <=> (~((~v1(constB89)) | (~v181(constB89))))))),
% 17.21/12.44 inference(rewrite,[status(thm)],[])).
% 17.21/12.44 tff(34758,plain,
% 17.21/12.44 (((~nextState(constB88, constB89)) | (v180(constB89) <=> (~((~v181(constB89)) | (~v1(constB89)))))) <=> ((~nextState(constB88, constB89)) | (v180(constB89) <=> (~((~v1(constB89)) | (~v181(constB89))))))),
% 17.21/12.44 inference(rewrite,[status(thm)],[])).
% 17.21/12.44 tff(34759,plain,
% 17.21/12.44 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> (~((~v181(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB88, constB89)) | (v180(constB89) <=> (~((~v181(constB89)) | (~v1(constB89))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> (~((~v181(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB88, constB89)) | (v180(constB89) <=> (~((~v1(constB89)) | (~v181(constB89)))))))),
% 17.21/12.44 inference(monotonicity,[status(thm)],[34758])).
% 17.21/12.44 tff(34760,plain,
% 17.21/12.44 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> (~((~v181(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB88, constB89)) | (v180(constB89) <=> (~((~v181(constB89)) | (~v1(constB89))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> (~((~v181(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB88, constB89)) | (v180(constB89) <=> (~((~v1(constB89)) | (~v181(constB89))))))),
% 17.21/12.44 inference(transitivity,[status(thm)],[34759, 34757])).
% 17.21/12.44 tff(34761,plain,
% 17.21/12.44 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> (~((~v181(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB88, constB89)) | (v180(constB89) <=> (~((~v181(constB89)) | (~v1(constB89))))))),
% 17.21/12.44 inference(quant_inst,[status(thm)],[])).
% 17.21/12.44 tff(34762,plain,
% 17.21/12.44 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> (~((~v181(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB88, constB89)) | (v180(constB89) <=> (~((~v1(constB89)) | (~v181(constB89)))))),
% 17.21/12.44 inference(modus_ponens,[status(thm)],[34761, 34760])).
% 17.21/12.44 tff(34763,plain,
% 17.21/12.44 (v180(constB89) <=> (~((~v1(constB89)) | (~v181(constB89))))),
% 17.21/12.44 inference(unit_resolution,[status(thm)],[34762, 859, 13556])).
% 17.21/12.44 tff(34764,plain,
% 17.21/12.44 (((~v1(constB89)) | (~v181(constB89))) | v1(constB89)),
% 17.21/12.44 inference(tautology,[status(thm)],[])).
% 17.21/12.44 tff(34765,plain,
% 17.21/12.44 ((~v1(constB89)) | (~v181(constB89))),
% 17.21/12.44 inference(unit_resolution,[status(thm)],[34764, 798])).
% 17.21/12.44 tff(34766,plain,
% 17.21/12.44 ((~(v180(constB89) <=> (~((~v1(constB89)) | (~v181(constB89)))))) | (~v180(constB89)) | (~((~v1(constB89)) | (~v181(constB89))))),
% 17.21/12.44 inference(tautology,[status(thm)],[])).
% 17.21/12.44 tff(34767,plain,
% 17.21/12.44 ((~(v180(constB89) <=> (~((~v1(constB89)) | (~v181(constB89)))))) | (~v180(constB89))),
% 17.21/12.44 inference(unit_resolution,[status(thm)],[34766, 34765])).
% 17.21/12.44 tff(34768,plain,
% 17.21/12.44 (~v180(constB89)),
% 17.21/12.44 inference(unit_resolution,[status(thm)],[34767, 34763])).
% 17.21/12.44 tff(34769,plain,
% 17.21/12.44 ((~(v179(constB89) <=> v180(constB89))) | (~v179(constB89)) | v180(constB89)),
% 17.21/12.44 inference(tautology,[status(thm)],[])).
% 17.21/12.44 tff(34770,plain,
% 17.21/12.44 (~v179(constB89)),
% 17.21/12.44 inference(unit_resolution,[status(thm)],[34769, 34768, 34756])).
% 17.21/12.44 tff(34771,plain,
% 17.21/12.44 (((~![VarCurr: $i, VarNext: $i] : ((v159(VarNext) <=> v159(VarCurr)) | v179(VarNext) | (~nextState(VarCurr, VarNext)))) | ((~nextState(constB88, constB89)) | v179(constB89) | (v159(constB89) <=> v159(constB88)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((v159(VarNext) <=> v159(VarCurr)) | v179(VarNext) | (~nextState(VarCurr, VarNext)))) | (~nextState(constB88, constB89)) | v179(constB89) | (v159(constB89) <=> v159(constB88)))),
% 17.21/12.44 inference(rewrite,[status(thm)],[])).
% 17.21/12.44 tff(34772,plain,
% 17.21/12.44 (((v159(constB89) <=> v159(constB88)) | v179(constB89) | (~nextState(constB88, constB89))) <=> ((~nextState(constB88, constB89)) | v179(constB89) | (v159(constB89) <=> v159(constB88)))),
% 17.21/12.44 inference(rewrite,[status(thm)],[])).
% 17.21/12.44 tff(34773,plain,
% 17.21/12.44 (((~![VarCurr: $i, VarNext: $i] : ((v159(VarNext) <=> v159(VarCurr)) | v179(VarNext) | (~nextState(VarCurr, VarNext)))) | ((v159(constB89) <=> v159(constB88)) | v179(constB89) | (~nextState(constB88, constB89)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((v159(VarNext) <=> v159(VarCurr)) | v179(VarNext) | (~nextState(VarCurr, VarNext)))) | ((~nextState(constB88, constB89)) | v179(constB89) | (v159(constB89) <=> v159(constB88))))),
% 17.21/12.44 inference(monotonicity,[status(thm)],[34772])).
% 17.21/12.44 tff(34774,plain,
% 17.21/12.44 (((~![VarCurr: $i, VarNext: $i] : ((v159(VarNext) <=> v159(VarCurr)) | v179(VarNext) | (~nextState(VarCurr, VarNext)))) | ((v159(constB89) <=> v159(constB88)) | v179(constB89) | (~nextState(constB88, constB89)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((v159(VarNext) <=> v159(VarCurr)) | v179(VarNext) | (~nextState(VarCurr, VarNext)))) | (~nextState(constB88, constB89)) | v179(constB89) | (v159(constB89) <=> v159(constB88)))),
% 17.21/12.44 inference(transitivity,[status(thm)],[34773, 34771])).
% 17.21/12.44 tff(34775,plain,
% 17.21/12.44 ((~![VarCurr: $i, VarNext: $i] : ((v159(VarNext) <=> v159(VarCurr)) | v179(VarNext) | (~nextState(VarCurr, VarNext)))) | ((v159(constB89) <=> v159(constB88)) | v179(constB89) | (~nextState(constB88, constB89)))),
% 17.21/12.44 inference(quant_inst,[status(thm)],[])).
% 17.21/12.44 tff(34776,plain,
% 17.21/12.44 ((~![VarCurr: $i, VarNext: $i] : ((v159(VarNext) <=> v159(VarCurr)) | v179(VarNext) | (~nextState(VarCurr, VarNext)))) | (~nextState(constB88, constB89)) | v179(constB89) | (v159(constB89) <=> v159(constB88))),
% 17.21/12.44 inference(modus_ponens,[status(thm)],[34775, 34774])).
% 17.21/12.44 tff(34777,plain,
% 17.21/12.44 (v179(constB89) | (v159(constB89) <=> v159(constB88))),
% 17.21/12.44 inference(unit_resolution,[status(thm)],[34776, 859, 13580])).
% 17.21/12.44 tff(34778,plain,
% 17.21/12.44 (v159(constB89) <=> v159(constB88)),
% 17.21/12.44 inference(unit_resolution,[status(thm)],[34777, 34770])).
% 17.21/12.44 tff(34779,plain,
% 17.21/12.44 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v179(VarNext) <=> v180(VarNext)))) | ((~nextState(constB87, constB88)) | (v179(constB88) <=> v180(constB88)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v179(VarNext) <=> v180(VarNext)))) | (~nextState(constB87, constB88)) | (v179(constB88) <=> v180(constB88)))),
% 17.21/12.44 inference(rewrite,[status(thm)],[])).
% 17.21/12.44 tff(34780,plain,
% 17.21/12.44 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v179(VarNext) <=> v180(VarNext)))) | ((~nextState(constB87, constB88)) | (v179(constB88) <=> v180(constB88)))),
% 17.21/12.44 inference(quant_inst,[status(thm)],[])).
% 17.21/12.44 tff(34781,plain,
% 17.21/12.44 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v179(VarNext) <=> v180(VarNext)))) | (~nextState(constB87, constB88)) | (v179(constB88) <=> v180(constB88))),
% 17.21/12.44 inference(modus_ponens,[status(thm)],[34780, 34779])).
% 17.21/12.44 tff(34782,plain,
% 17.21/12.44 (v179(constB88) <=> v180(constB88)),
% 17.21/12.44 inference(unit_resolution,[status(thm)],[34781, 891, 13536])).
% 17.21/12.44 tff(34783,plain,
% 17.21/12.44 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> (~((~v181(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB87, constB88)) | (v180(constB88) <=> (~((~v1(constB88)) | (~v181(constB88))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> (~((~v181(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB87, constB88)) | (v180(constB88) <=> (~((~v1(constB88)) | (~v181(constB88))))))),
% 17.21/12.44 inference(rewrite,[status(thm)],[])).
% 17.21/12.44 tff(34784,plain,
% 17.21/12.44 (((~nextState(constB87, constB88)) | (v180(constB88) <=> (~((~v181(constB88)) | (~v1(constB88)))))) <=> ((~nextState(constB87, constB88)) | (v180(constB88) <=> (~((~v1(constB88)) | (~v181(constB88))))))),
% 17.21/12.44 inference(rewrite,[status(thm)],[])).
% 17.21/12.44 tff(34785,plain,
% 17.21/12.44 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> (~((~v181(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB87, constB88)) | (v180(constB88) <=> (~((~v181(constB88)) | (~v1(constB88))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> (~((~v181(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB87, constB88)) | (v180(constB88) <=> (~((~v1(constB88)) | (~v181(constB88)))))))),
% 17.21/12.44 inference(monotonicity,[status(thm)],[34784])).
% 17.21/12.44 tff(34786,plain,
% 17.21/12.44 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> (~((~v181(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB87, constB88)) | (v180(constB88) <=> (~((~v181(constB88)) | (~v1(constB88))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> (~((~v181(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB87, constB88)) | (v180(constB88) <=> (~((~v1(constB88)) | (~v181(constB88))))))),
% 17.21/12.44 inference(transitivity,[status(thm)],[34785, 34783])).
% 17.21/12.44 tff(34787,plain,
% 17.21/12.44 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> (~((~v181(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB87, constB88)) | (v180(constB88) <=> (~((~v181(constB88)) | (~v1(constB88))))))),
% 17.21/12.44 inference(quant_inst,[status(thm)],[])).
% 17.21/12.44 tff(34788,plain,
% 17.21/12.44 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> (~((~v181(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB87, constB88)) | (v180(constB88) <=> (~((~v1(constB88)) | (~v181(constB88)))))),
% 17.21/12.44 inference(modus_ponens,[status(thm)],[34787, 34786])).
% 17.21/12.44 tff(34789,plain,
% 17.21/12.44 (v180(constB88) <=> (~((~v1(constB88)) | (~v181(constB88))))),
% 17.21/12.44 inference(unit_resolution,[status(thm)],[34788, 891, 13556])).
% 17.21/12.44 tff(34790,plain,
% 17.21/12.44 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v181(VarNext)) <=> v104(VarNext)))) | ((~nextState(constB87, constB88)) | ((~v181(constB88)) <=> v104(constB88)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v181(VarNext)) <=> v104(VarNext)))) | (~nextState(constB87, constB88)) | ((~v181(constB88)) <=> v104(constB88)))),
% 17.21/12.44 inference(rewrite,[status(thm)],[])).
% 17.21/12.44 tff(34791,plain,
% 17.21/12.44 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v181(VarNext)) <=> v104(VarNext)))) | ((~nextState(constB87, constB88)) | ((~v181(constB88)) <=> v104(constB88)))),
% 17.21/12.44 inference(quant_inst,[status(thm)],[])).
% 17.21/12.44 tff(34792,plain,
% 17.21/12.44 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v181(VarNext)) <=> v104(VarNext)))) | (~nextState(constB87, constB88)) | ((~v181(constB88)) <=> v104(constB88))),
% 17.21/12.44 inference(modus_ponens,[status(thm)],[34791, 34790])).
% 17.21/12.44 tff(34793,plain,
% 17.21/12.44 ((~v181(constB88)) <=> v104(constB88)),
% 17.21/12.44 inference(unit_resolution,[status(thm)],[34792, 891, 13612])).
% 17.21/12.44 tff(34794,plain,
% 17.21/12.44 ((~((~v181(constB88)) <=> v104(constB88))) | v181(constB88) | v104(constB88)),
% 17.21/12.44 inference(tautology,[status(thm)],[])).
% 17.21/12.44 tff(34795,plain,
% 17.21/12.44 (v181(constB88)),
% 17.21/12.44 inference(unit_resolution,[status(thm)],[34794, 916, 34793])).
% 17.21/12.44 tff(34796,plain,
% 17.21/12.44 ((~((~v1(constB88)) | (~v181(constB88)))) | (~v1(constB88)) | (~v181(constB88))),
% 17.21/12.44 inference(tautology,[status(thm)],[])).
% 17.21/12.44 tff(34797,plain,
% 17.21/12.44 ((~((~v1(constB88)) | (~v181(constB88)))) | (~v181(constB88))),
% 17.21/12.44 inference(unit_resolution,[status(thm)],[34796, 921])).
% 17.21/12.44 tff(34798,plain,
% 17.21/12.44 (~((~v1(constB88)) | (~v181(constB88)))),
% 17.21/12.44 inference(unit_resolution,[status(thm)],[34797, 34795])).
% 17.21/12.44 tff(34799,plain,
% 17.21/12.44 ((~(v180(constB88) <=> (~((~v1(constB88)) | (~v181(constB88)))))) | v180(constB88) | ((~v1(constB88)) | (~v181(constB88)))),
% 17.21/12.44 inference(tautology,[status(thm)],[])).
% 17.21/12.44 tff(34800,plain,
% 17.21/12.44 (v180(constB88)),
% 17.21/12.44 inference(unit_resolution,[status(thm)],[34799, 34798, 34789])).
% 17.21/12.44 tff(34801,plain,
% 17.21/12.44 ((~(v179(constB88) <=> v180(constB88))) | v179(constB88) | (~v180(constB88))),
% 17.21/12.44 inference(tautology,[status(thm)],[])).
% 17.21/12.44 tff(34802,plain,
% 17.21/12.44 (v179(constB88)),
% 17.21/12.44 inference(unit_resolution,[status(thm)],[34801, 34800, 34782])).
% 17.21/12.44 tff(34803,plain,
% 17.21/12.44 (((~![VarNext: $i] : ((~v179(VarNext)) | (v159(VarNext) <=> v186(VarNext)))) | ((~v179(constB88)) | (v159(constB88) <=> v186(constB88)))) <=> ((~![VarNext: $i] : ((~v179(VarNext)) | (v159(VarNext) <=> v186(VarNext)))) | (~v179(constB88)) | (v159(constB88) <=> v186(constB88)))),
% 17.21/12.44 inference(rewrite,[status(thm)],[])).
% 17.21/12.44 tff(34804,plain,
% 17.21/12.44 ((~![VarNext: $i] : ((~v179(VarNext)) | (v159(VarNext) <=> v186(VarNext)))) | ((~v179(constB88)) | (v159(constB88) <=> v186(constB88)))),
% 17.21/12.44 inference(quant_inst,[status(thm)],[])).
% 17.21/12.44 tff(34805,plain,
% 17.21/12.44 ((~![VarNext: $i] : ((~v179(VarNext)) | (v159(VarNext) <=> v186(VarNext)))) | (~v179(constB88)) | (v159(constB88) <=> v186(constB88))),
% 17.21/12.44 inference(modus_ponens,[status(thm)],[34804, 34803])).
% 17.21/12.44 tff(34806,plain,
% 17.21/12.44 (v159(constB88) <=> v186(constB88)),
% 17.21/12.44 inference(unit_resolution,[status(thm)],[34805, 13648, 34802])).
% 17.21/12.44 tff(34807,plain,
% 17.21/12.44 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v186(VarNext) <=> v161(VarCurr)))) | ((~nextState(constB87, constB88)) | (v186(constB88) <=> v161(constB87)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v186(VarNext) <=> v161(VarCurr)))) | (~nextState(constB87, constB88)) | (v186(constB88) <=> v161(constB87)))),
% 17.21/12.45 inference(rewrite,[status(thm)],[])).
% 17.21/12.45 tff(34808,plain,
% 17.21/12.45 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v186(VarNext) <=> v161(VarCurr)))) | ((~nextState(constB87, constB88)) | (v186(constB88) <=> v161(constB87)))),
% 17.21/12.45 inference(quant_inst,[status(thm)],[])).
% 17.21/12.45 tff(34809,plain,
% 17.21/12.45 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v186(VarNext) <=> v161(VarCurr)))) | (~nextState(constB87, constB88)) | (v186(constB88) <=> v161(constB87))),
% 17.21/12.45 inference(modus_ponens,[status(thm)],[34808, 34807])).
% 17.21/12.45 tff(34810,plain,
% 17.21/12.45 (v186(constB88) <=> v161(constB87)),
% 17.21/12.45 inference(unit_resolution,[status(thm)],[34809, 891, 13662])).
% 17.21/12.45 tff(34811,plain,
% 17.21/12.45 ((~![VarCurr: $i] : (v161(VarCurr) <=> v163(VarCurr))) | (v161(constB87) <=> v163(constB87))),
% 17.21/12.45 inference(quant_inst,[status(thm)],[])).
% 17.21/12.45 tff(34812,plain,
% 17.21/12.45 (v161(constB87) <=> v163(constB87)),
% 17.21/12.45 inference(unit_resolution,[status(thm)],[34811, 357])).
% 17.21/12.45 tff(34813,plain,
% 17.21/12.45 ((~![VarCurr: $i] : (v171(VarCurr) <=> (v142(VarCurr) | v150(VarCurr)))) | (v171(constB87) <=> (v142(constB87) | v150(constB87)))),
% 17.21/12.45 inference(quant_inst,[status(thm)],[])).
% 17.21/12.45 tff(34814,plain,
% 17.21/12.45 (v171(constB87) <=> (v142(constB87) | v150(constB87))),
% 17.21/12.45 inference(unit_resolution,[status(thm)],[34813, 369])).
% 17.21/12.45 tff(34815,plain,
% 17.21/12.45 ((~![VarCurr: $i] : (v150(VarCurr) <=> (v141(VarCurr) | v151(VarCurr)))) | (v150(constB87) <=> (v141(constB87) | v151(constB87)))),
% 17.21/12.45 inference(quant_inst,[status(thm)],[])).
% 17.21/12.45 tff(34816,plain,
% 17.21/12.45 (v150(constB87) <=> (v141(constB87) | v151(constB87))),
% 17.21/12.45 inference(unit_resolution,[status(thm)],[34815, 13680])).
% 17.21/12.45 tff(34817,plain,
% 17.21/12.45 ((~![VarCurr: $i] : (v151(VarCurr) <=> (v139(VarCurr) | v140(VarCurr)))) | (v151(constB87) <=> (v139(constB87) | v140(constB87)))),
% 17.21/12.45 inference(quant_inst,[status(thm)],[])).
% 17.21/12.45 tff(34818,plain,
% 17.21/12.45 (v151(constB87) <=> (v139(constB87) | v140(constB87))),
% 17.21/12.45 inference(unit_resolution,[status(thm)],[34817, 13689])).
% 17.21/12.45 tff(34819,plain,
% 17.21/12.45 (((~![VarCurr: $i] : (v140(VarCurr) <=> (~(v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex0)))))) | (v140(constB87) <=> (~(v88(constB87, bitIndex2) | v88(constB87, bitIndex1) | (~v88(constB87, bitIndex0)))))) <=> ((~![VarCurr: $i] : (v140(VarCurr) <=> (~(v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex0)))))) | (v140(constB87) <=> (~(v88(constB87, bitIndex2) | v88(constB87, bitIndex1) | (~v88(constB87, bitIndex0))))))),
% 17.21/12.45 inference(rewrite,[status(thm)],[])).
% 17.21/12.45 tff(34820,plain,
% 17.21/12.45 ((v140(constB87) <=> (~(v88(constB87, bitIndex1) | v88(constB87, bitIndex2) | (~v88(constB87, bitIndex0))))) <=> (v140(constB87) <=> (~(v88(constB87, bitIndex2) | v88(constB87, bitIndex1) | (~v88(constB87, bitIndex0)))))),
% 17.21/12.45 inference(rewrite,[status(thm)],[])).
% 17.21/12.45 tff(34821,plain,
% 17.21/12.45 (((~![VarCurr: $i] : (v140(VarCurr) <=> (~(v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex0)))))) | (v140(constB87) <=> (~(v88(constB87, bitIndex1) | v88(constB87, bitIndex2) | (~v88(constB87, bitIndex0)))))) <=> ((~![VarCurr: $i] : (v140(VarCurr) <=> (~(v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex0)))))) | (v140(constB87) <=> (~(v88(constB87, bitIndex2) | v88(constB87, bitIndex1) | (~v88(constB87, bitIndex0))))))),
% 17.21/12.45 inference(monotonicity,[status(thm)],[34820])).
% 17.21/12.45 tff(34822,plain,
% 17.21/12.45 (((~![VarCurr: $i] : (v140(VarCurr) <=> (~(v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex0)))))) | (v140(constB87) <=> (~(v88(constB87, bitIndex1) | v88(constB87, bitIndex2) | (~v88(constB87, bitIndex0)))))) <=> ((~![VarCurr: $i] : (v140(VarCurr) <=> (~(v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex0)))))) | (v140(constB87) <=> (~(v88(constB87, bitIndex2) | v88(constB87, bitIndex1) | (~v88(constB87, bitIndex0))))))),
% 17.21/12.45 inference(transitivity,[status(thm)],[34821, 34819])).
% 17.21/12.45 tff(34823,plain,
% 17.21/12.45 ((~![VarCurr: $i] : (v140(VarCurr) <=> (~(v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex0)))))) | (v140(constB87) <=> (~(v88(constB87, bitIndex1) | v88(constB87, bitIndex2) | (~v88(constB87, bitIndex0)))))),
% 17.21/12.45 inference(quant_inst,[status(thm)],[])).
% 17.21/12.45 tff(34824,plain,
% 17.21/12.45 ((~![VarCurr: $i] : (v140(VarCurr) <=> (~(v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex0)))))) | (v140(constB87) <=> (~(v88(constB87, bitIndex2) | v88(constB87, bitIndex1) | (~v88(constB87, bitIndex0)))))),
% 17.21/12.45 inference(modus_ponens,[status(thm)],[34823, 34822])).
% 17.21/12.45 tff(34825,plain,
% 17.21/12.45 (v140(constB87) <=> (~(v88(constB87, bitIndex2) | v88(constB87, bitIndex1) | (~v88(constB87, bitIndex0))))),
% 17.21/12.45 inference(unit_resolution,[status(thm)],[34824, 13704])).
% 17.21/12.45 tff(34826,plain,
% 17.21/12.45 (((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | ((~less_3(bitIndex2)) | (v88(constB87, bitIndex2) <=> v90(constB87, bitIndex2)))) <=> ((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | (~less_3(bitIndex2)) | (v88(constB87, bitIndex2) <=> v90(constB87, bitIndex2)))),
% 17.21/12.45 inference(rewrite,[status(thm)],[])).
% 17.21/12.45 tff(34827,plain,
% 17.21/12.45 ((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | ((~less_3(bitIndex2)) | (v88(constB87, bitIndex2) <=> v90(constB87, bitIndex2)))),
% 17.21/12.45 inference(quant_inst,[status(thm)],[])).
% 17.21/12.45 tff(34828,plain,
% 17.21/12.45 ((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | (~less_3(bitIndex2)) | (v88(constB87, bitIndex2) <=> v90(constB87, bitIndex2))),
% 17.21/12.45 inference(modus_ponens,[status(thm)],[34827, 34826])).
% 17.21/12.45 tff(34829,plain,
% 17.21/12.45 (v88(constB87, bitIndex2) <=> v90(constB87, bitIndex2)),
% 17.21/12.45 inference(unit_resolution,[status(thm)],[34828, 413, 410])).
% 17.21/12.45 tff(34830,plain,
% 17.21/12.45 ((~(v88(constB87, bitIndex2) <=> v90(constB87, bitIndex2))) | (~v88(constB87, bitIndex2)) | v90(constB87, bitIndex2)),
% 17.21/12.45 inference(tautology,[status(thm)],[])).
% 17.21/12.45 tff(34831,plain,
% 17.21/12.45 (~v88(constB87, bitIndex2)),
% 17.21/12.45 inference(unit_resolution,[status(thm)],[34830, 12339, 34829])).
% 17.21/12.45 tff(34832,plain,
% 17.21/12.45 (((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | ((~less_3(bitIndex0)) | (v88(constB87, bitIndex0) <=> v90(constB87, bitIndex0)))) <=> ((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | (~less_3(bitIndex0)) | (v88(constB87, bitIndex0) <=> v90(constB87, bitIndex0)))),
% 17.21/12.45 inference(rewrite,[status(thm)],[])).
% 17.21/12.45 tff(34833,plain,
% 17.21/12.45 ((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | ((~less_3(bitIndex0)) | (v88(constB87, bitIndex0) <=> v90(constB87, bitIndex0)))),
% 17.21/12.45 inference(quant_inst,[status(thm)],[])).
% 17.21/12.45 tff(34834,plain,
% 17.21/12.45 ((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | (~less_3(bitIndex0)) | (v88(constB87, bitIndex0) <=> v90(constB87, bitIndex0))),
% 17.21/12.45 inference(modus_ponens,[status(thm)],[34833, 34832])).
% 17.21/12.45 tff(34835,plain,
% 17.21/12.45 (v88(constB87, bitIndex0) <=> v90(constB87, bitIndex0)),
% 17.21/12.45 inference(unit_resolution,[status(thm)],[34834, 5004, 410])).
% 17.21/12.45 tff(34836,plain,
% 17.21/12.45 ((~(v88(constB87, bitIndex0) <=> v90(constB87, bitIndex0))) | v88(constB87, bitIndex0) | (~v90(constB87, bitIndex0))),
% 17.21/12.45 inference(tautology,[status(thm)],[])).
% 17.21/12.45 tff(34837,plain,
% 17.21/12.45 (v88(constB87, bitIndex0)),
% 17.21/12.45 inference(unit_resolution,[status(thm)],[34836, 12370, 34835])).
% 17.21/12.45 tff(34838,plain,
% 17.21/12.45 (((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | ((~less_3(bitIndex1)) | (v88(constB87, bitIndex1) <=> v90(constB87, bitIndex1)))) <=> ((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | (~less_3(bitIndex1)) | (v88(constB87, bitIndex1) <=> v90(constB87, bitIndex1)))),
% 17.21/12.45 inference(rewrite,[status(thm)],[])).
% 17.21/12.45 tff(34839,plain,
% 17.21/12.45 ((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | ((~less_3(bitIndex1)) | (v88(constB87, bitIndex1) <=> v90(constB87, bitIndex1)))),
% 17.21/12.45 inference(quant_inst,[status(thm)],[])).
% 17.21/12.45 tff(34840,plain,
% 17.21/12.45 ((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | (~less_3(bitIndex1)) | (v88(constB87, bitIndex1) <=> v90(constB87, bitIndex1))),
% 17.21/12.45 inference(modus_ponens,[status(thm)],[34839, 34838])).
% 17.21/12.45 tff(34841,plain,
% 17.21/12.45 (v88(constB87, bitIndex1) <=> v90(constB87, bitIndex1)),
% 17.21/12.45 inference(unit_resolution,[status(thm)],[34840, 5017, 410])).
% 17.21/12.45 tff(34842,plain,
% 17.21/12.45 ((~(v88(constB87, bitIndex1) <=> v90(constB87, bitIndex1))) | (~v88(constB87, bitIndex1)) | v90(constB87, bitIndex1)),
% 17.21/12.45 inference(tautology,[status(thm)],[])).
% 17.21/12.45 tff(34843,plain,
% 17.21/12.45 (~v88(constB87, bitIndex1)),
% 17.21/12.45 inference(unit_resolution,[status(thm)],[34842, 12401, 34841])).
% 17.21/12.45 tff(34844,plain,
% 17.21/12.45 ((~(v88(constB87, bitIndex2) | v88(constB87, bitIndex1) | (~v88(constB87, bitIndex0)))) | v88(constB87, bitIndex2) | v88(constB87, bitIndex1) | (~v88(constB87, bitIndex0))),
% 17.21/12.45 inference(tautology,[status(thm)],[])).
% 17.21/12.45 tff(34845,plain,
% 17.21/12.45 (~(v88(constB87, bitIndex2) | v88(constB87, bitIndex1) | (~v88(constB87, bitIndex0)))),
% 17.21/12.45 inference(unit_resolution,[status(thm)],[34844, 34843, 34837, 34831])).
% 17.21/12.45 tff(34846,plain,
% 17.21/12.45 ((~(v140(constB87) <=> (~(v88(constB87, bitIndex2) | v88(constB87, bitIndex1) | (~v88(constB87, bitIndex0)))))) | v140(constB87) | (v88(constB87, bitIndex2) | v88(constB87, bitIndex1) | (~v88(constB87, bitIndex0)))),
% 17.21/12.45 inference(tautology,[status(thm)],[])).
% 17.21/12.45 tff(34847,plain,
% 17.21/12.45 (v140(constB87)),
% 17.21/12.45 inference(unit_resolution,[status(thm)],[34846, 34845, 34825])).
% 17.21/12.45 tff(34848,plain,
% 17.21/12.45 ((v139(constB87) | v140(constB87)) | (~v140(constB87))),
% 17.21/12.45 inference(tautology,[status(thm)],[])).
% 17.21/12.45 tff(34849,plain,
% 17.21/12.45 (v139(constB87) | v140(constB87)),
% 17.21/12.45 inference(unit_resolution,[status(thm)],[34848, 34847])).
% 17.21/12.45 tff(34850,plain,
% 17.21/12.45 ((~(v151(constB87) <=> (v139(constB87) | v140(constB87)))) | v151(constB87) | (~(v139(constB87) | v140(constB87)))),
% 17.21/12.45 inference(tautology,[status(thm)],[])).
% 17.21/12.45 tff(34851,plain,
% 17.21/12.45 (v151(constB87)),
% 17.21/12.45 inference(unit_resolution,[status(thm)],[34850, 34849, 34818])).
% 17.21/12.45 tff(34852,plain,
% 17.21/12.45 ((v141(constB87) | v151(constB87)) | (~v151(constB87))),
% 17.21/12.45 inference(tautology,[status(thm)],[])).
% 17.21/12.45 tff(34853,plain,
% 17.21/12.45 (v141(constB87) | v151(constB87)),
% 17.21/12.45 inference(unit_resolution,[status(thm)],[34852, 34851])).
% 17.21/12.45 tff(34854,plain,
% 17.21/12.45 ((~(v150(constB87) <=> (v141(constB87) | v151(constB87)))) | v150(constB87) | (~(v141(constB87) | v151(constB87)))),
% 17.21/12.45 inference(tautology,[status(thm)],[])).
% 17.21/12.45 tff(34855,plain,
% 17.21/12.45 (v150(constB87)),
% 17.21/12.45 inference(unit_resolution,[status(thm)],[34854, 34853, 34816])).
% 17.21/12.45 tff(34856,plain,
% 17.21/12.45 ((v142(constB87) | v150(constB87)) | (~v150(constB87))),
% 17.21/12.45 inference(tautology,[status(thm)],[])).
% 17.21/12.45 tff(34857,plain,
% 17.21/12.45 (v142(constB87) | v150(constB87)),
% 17.21/12.45 inference(unit_resolution,[status(thm)],[34856, 34855])).
% 17.21/12.45 tff(34858,plain,
% 17.21/12.45 ((~(v171(constB87) <=> (v142(constB87) | v150(constB87)))) | v171(constB87) | (~(v142(constB87) | v150(constB87)))),
% 17.21/12.45 inference(tautology,[status(thm)],[])).
% 17.21/12.45 tff(34859,plain,
% 17.21/12.45 (v171(constB87)),
% 17.21/12.45 inference(unit_resolution,[status(thm)],[34858, 34857, 34814])).
% 17.21/12.45 tff(34860,plain,
% 17.21/12.45 (((~![VarCurr: $i] : ((~v171(VarCurr)) | (~v170(VarCurr)))) | ((~v170(constB87)) | (~v171(constB87)))) <=> ((~![VarCurr: $i] : ((~v171(VarCurr)) | (~v170(VarCurr)))) | (~v170(constB87)) | (~v171(constB87)))),
% 17.21/12.45 inference(rewrite,[status(thm)],[])).
% 17.21/12.45 tff(34861,plain,
% 17.21/12.45 (((~v171(constB87)) | (~v170(constB87))) <=> ((~v170(constB87)) | (~v171(constB87)))),
% 17.21/12.45 inference(rewrite,[status(thm)],[])).
% 17.21/12.45 tff(34862,plain,
% 17.21/12.45 (((~![VarCurr: $i] : ((~v171(VarCurr)) | (~v170(VarCurr)))) | ((~v171(constB87)) | (~v170(constB87)))) <=> ((~![VarCurr: $i] : ((~v171(VarCurr)) | (~v170(VarCurr)))) | ((~v170(constB87)) | (~v171(constB87))))),
% 17.21/12.45 inference(monotonicity,[status(thm)],[34861])).
% 17.21/12.45 tff(34863,plain,
% 17.21/12.45 (((~![VarCurr: $i] : ((~v171(VarCurr)) | (~v170(VarCurr)))) | ((~v171(constB87)) | (~v170(constB87)))) <=> ((~![VarCurr: $i] : ((~v171(VarCurr)) | (~v170(VarCurr)))) | (~v170(constB87)) | (~v171(constB87)))),
% 17.21/12.45 inference(transitivity,[status(thm)],[34862, 34860])).
% 17.21/12.45 tff(34864,plain,
% 17.21/12.45 ((~![VarCurr: $i] : ((~v171(VarCurr)) | (~v170(VarCurr)))) | ((~v171(constB87)) | (~v170(constB87)))),
% 17.21/12.45 inference(quant_inst,[status(thm)],[])).
% 17.21/12.45 tff(34865,plain,
% 17.21/12.45 ((~![VarCurr: $i] : ((~v171(VarCurr)) | (~v170(VarCurr)))) | (~v170(constB87)) | (~v171(constB87))),
% 17.21/12.45 inference(modus_ponens,[status(thm)],[34864, 34863])).
% 17.21/12.45 tff(34866,plain,
% 17.21/12.45 ((~v170(constB87)) | (~v171(constB87))),
% 17.21/12.45 inference(unit_resolution,[status(thm)],[34865, 13061])).
% 17.21/12.45 tff(34867,plain,
% 17.21/12.45 (~v170(constB87)),
% 17.21/12.45 inference(unit_resolution,[status(thm)],[34866, 34859])).
% 17.21/12.45 tff(34868,plain,
% 17.21/12.45 ((~![VarCurr: $i] : (v166(VarCurr) <=> (v145(VarCurr) | v167(VarCurr)))) | (v166(constB87) <=> (v145(constB87) | v167(constB87)))),
% 17.21/12.45 inference(quant_inst,[status(thm)],[])).
% 17.21/12.45 tff(34869,plain,
% 17.21/12.45 (v166(constB87) <=> (v145(constB87) | v167(constB87))),
% 17.21/12.45 inference(unit_resolution,[status(thm)],[34868, 13079])).
% 17.21/12.45 tff(34870,plain,
% 17.21/12.45 ((~![VarCurr: $i] : (v167(VarCurr) <=> (v142(VarCurr) | v168(VarCurr)))) | (v167(constB87) <=> (v142(constB87) | v168(constB87)))),
% 17.21/12.45 inference(quant_inst,[status(thm)],[])).
% 17.21/12.45 tff(34871,plain,
% 17.21/12.45 (v167(constB87) <=> (v142(constB87) | v168(constB87))),
% 17.21/12.45 inference(unit_resolution,[status(thm)],[34870, 13091])).
% 17.21/12.45 tff(34872,plain,
% 17.21/12.45 ((~![VarCurr: $i] : (v168(VarCurr) <=> (v141(VarCurr) | v169(VarCurr)))) | (v168(constB87) <=> (v141(constB87) | v169(constB87)))),
% 17.21/12.45 inference(quant_inst,[status(thm)],[])).
% 17.21/12.45 tff(34873,plain,
% 17.21/12.45 (v168(constB87) <=> (v141(constB87) | v169(constB87))),
% 17.21/12.45 inference(unit_resolution,[status(thm)],[34872, 20513])).
% 17.21/12.45 tff(34874,plain,
% 17.21/12.45 ((~![VarCurr: $i] : (v169(VarCurr) <=> (v139(VarCurr) | v140(VarCurr)))) | (v169(constB87) <=> (v139(constB87) | v140(constB87)))),
% 17.21/12.45 inference(quant_inst,[status(thm)],[])).
% 17.21/12.45 tff(34875,plain,
% 17.21/12.45 (v169(constB87) <=> (v139(constB87) | v140(constB87))),
% 17.21/12.45 inference(unit_resolution,[status(thm)],[34874, 20522])).
% 17.21/12.45 tff(34876,plain,
% 17.21/12.45 ((~(v169(constB87) <=> (v139(constB87) | v140(constB87)))) | v169(constB87) | (~(v139(constB87) | v140(constB87)))),
% 17.21/12.45 inference(tautology,[status(thm)],[])).
% 17.21/12.45 tff(34877,plain,
% 17.21/12.45 (v169(constB87)),
% 17.21/12.45 inference(unit_resolution,[status(thm)],[34876, 34849, 34875])).
% 17.21/12.45 tff(34878,plain,
% 17.21/12.45 ((v141(constB87) | v169(constB87)) | (~v169(constB87))),
% 17.21/12.45 inference(tautology,[status(thm)],[])).
% 17.21/12.45 tff(34879,plain,
% 17.21/12.45 (v141(constB87) | v169(constB87)),
% 17.21/12.45 inference(unit_resolution,[status(thm)],[34878, 34877])).
% 17.21/12.45 tff(34880,plain,
% 17.21/12.45 ((~(v168(constB87) <=> (v141(constB87) | v169(constB87)))) | v168(constB87) | (~(v141(constB87) | v169(constB87)))),
% 17.21/12.45 inference(tautology,[status(thm)],[])).
% 17.21/12.45 tff(34881,plain,
% 17.21/12.45 (v168(constB87)),
% 17.21/12.45 inference(unit_resolution,[status(thm)],[34880, 34879, 34873])).
% 17.21/12.45 tff(34882,plain,
% 17.21/12.45 ((v142(constB87) | v168(constB87)) | (~v168(constB87))),
% 17.21/12.45 inference(tautology,[status(thm)],[])).
% 17.21/12.45 tff(34883,plain,
% 17.21/12.45 (v142(constB87) | v168(constB87)),
% 17.21/12.45 inference(unit_resolution,[status(thm)],[34882, 34881])).
% 17.21/12.45 tff(34884,plain,
% 17.21/12.45 ((~(v167(constB87) <=> (v142(constB87) | v168(constB87)))) | v167(constB87) | (~(v142(constB87) | v168(constB87)))),
% 17.21/12.45 inference(tautology,[status(thm)],[])).
% 17.21/12.45 tff(34885,plain,
% 17.21/12.45 (v167(constB87)),
% 17.21/12.45 inference(unit_resolution,[status(thm)],[34884, 34883, 34871])).
% 17.21/12.45 tff(34886,plain,
% 17.21/12.45 ((v145(constB87) | v167(constB87)) | (~v167(constB87))),
% 17.21/12.45 inference(tautology,[status(thm)],[])).
% 17.21/12.45 tff(34887,plain,
% 17.21/12.45 (v145(constB87) | v167(constB87)),
% 17.21/12.45 inference(unit_resolution,[status(thm)],[34886, 34885])).
% 17.21/12.45 tff(34888,plain,
% 17.21/12.45 ((~(v166(constB87) <=> (v145(constB87) | v167(constB87)))) | v166(constB87) | (~(v145(constB87) | v167(constB87)))),
% 17.21/12.45 inference(tautology,[status(thm)],[])).
% 17.21/12.45 tff(34889,plain,
% 17.21/12.45 (v166(constB87)),
% 17.21/12.45 inference(unit_resolution,[status(thm)],[34888, 34887, 34869])).
% 17.21/12.45 tff(34890,plain,
% 17.21/12.45 (((~![VarNext: $i] : ((~v166(VarNext)) | (v163(VarNext) <=> v170(VarNext)))) | ((~v166(constB87)) | (v163(constB87) <=> v170(constB87)))) <=> ((~![VarNext: $i] : ((~v166(VarNext)) | (v163(VarNext) <=> v170(VarNext)))) | (~v166(constB87)) | (v163(constB87) <=> v170(constB87)))),
% 17.21/12.45 inference(rewrite,[status(thm)],[])).
% 17.21/12.45 tff(34891,plain,
% 17.21/12.45 ((~![VarNext: $i] : ((~v166(VarNext)) | (v163(VarNext) <=> v170(VarNext)))) | ((~v166(constB87)) | (v163(constB87) <=> v170(constB87)))),
% 17.21/12.46 inference(quant_inst,[status(thm)],[])).
% 17.21/12.46 tff(34892,plain,
% 17.21/12.46 ((~![VarNext: $i] : ((~v166(VarNext)) | (v163(VarNext) <=> v170(VarNext)))) | (~v166(constB87)) | (v163(constB87) <=> v170(constB87))),
% 17.21/12.46 inference(modus_ponens,[status(thm)],[34891, 34890])).
% 17.21/12.46 tff(34893,plain,
% 17.21/12.46 ((~v166(constB87)) | (v163(constB87) <=> v170(constB87))),
% 17.21/12.46 inference(unit_resolution,[status(thm)],[34892, 13111])).
% 17.21/12.46 tff(34894,plain,
% 17.21/12.46 (v163(constB87) <=> v170(constB87)),
% 17.21/12.46 inference(unit_resolution,[status(thm)],[34893, 34889])).
% 17.21/12.46 tff(34895,plain,
% 17.21/12.46 ((~(v163(constB87) <=> v170(constB87))) | (~v163(constB87)) | v170(constB87)),
% 17.21/12.46 inference(tautology,[status(thm)],[])).
% 17.21/12.46 tff(34896,plain,
% 17.21/12.46 (~v163(constB87)),
% 17.21/12.46 inference(unit_resolution,[status(thm)],[34895, 34894, 34867])).
% 17.21/12.46 tff(34897,plain,
% 17.21/12.46 ((~(v161(constB87) <=> v163(constB87))) | (~v161(constB87)) | v163(constB87)),
% 17.21/12.46 inference(tautology,[status(thm)],[])).
% 17.21/12.46 tff(34898,plain,
% 17.21/12.46 (~v161(constB87)),
% 17.21/12.46 inference(unit_resolution,[status(thm)],[34897, 34896, 34812])).
% 17.21/12.46 tff(34899,plain,
% 17.21/12.46 ((~(v186(constB88) <=> v161(constB87))) | (~v186(constB88)) | v161(constB87)),
% 17.21/12.46 inference(tautology,[status(thm)],[])).
% 17.21/12.46 tff(34900,plain,
% 17.21/12.46 (~v186(constB88)),
% 17.21/12.46 inference(unit_resolution,[status(thm)],[34899, 34898, 34810])).
% 17.21/12.46 tff(34901,plain,
% 17.21/12.46 ((~(v159(constB88) <=> v186(constB88))) | (~v159(constB88)) | v186(constB88)),
% 17.21/12.46 inference(tautology,[status(thm)],[])).
% 17.21/12.46 tff(34902,plain,
% 17.21/12.46 (~v159(constB88)),
% 17.21/12.46 inference(unit_resolution,[status(thm)],[34901, 34900, 34806])).
% 17.21/12.46 tff(34903,plain,
% 17.21/12.46 ((~(v159(constB89) <=> v159(constB88))) | (~v159(constB89)) | v159(constB88)),
% 17.21/12.46 inference(tautology,[status(thm)],[])).
% 17.21/12.46 tff(34904,plain,
% 17.21/12.46 (~v159(constB89)),
% 17.21/12.46 inference(unit_resolution,[status(thm)],[34903, 34902, 34778])).
% 17.21/12.46 tff(34905,plain,
% 17.21/12.46 (((~v159(constB89)) | (~v161(constB89))) | v159(constB89)),
% 17.21/12.46 inference(tautology,[status(thm)],[])).
% 17.21/12.46 tff(34906,plain,
% 17.21/12.46 ((~v159(constB89)) | (~v161(constB89))),
% 17.21/12.46 inference(unit_resolution,[status(thm)],[34905, 34904])).
% 17.21/12.46 tff(34907,plain,
% 17.21/12.46 ((~(v201(constB89) <=> (~((~v159(constB89)) | (~v161(constB89)))))) | (~v201(constB89)) | (~((~v159(constB89)) | (~v161(constB89))))),
% 17.21/12.46 inference(tautology,[status(thm)],[])).
% 17.21/12.46 tff(34908,plain,
% 17.21/12.46 (~v201(constB89)),
% 17.21/12.46 inference(unit_resolution,[status(thm)],[34907, 34906, 34752])).
% 17.21/12.46 tff(34909,plain,
% 17.21/12.46 (((~v197(constB89)) | (~v201(constB89))) | v201(constB89)),
% 17.21/12.46 inference(tautology,[status(thm)],[])).
% 17.21/12.46 tff(34910,plain,
% 17.21/12.46 ((~v197(constB89)) | (~v201(constB89))),
% 17.21/12.46 inference(unit_resolution,[status(thm)],[34909, 34908])).
% 17.21/12.46 tff(34911,plain,
% 17.21/12.46 ((~(v200(constB89) <=> (~((~v197(constB89)) | (~v201(constB89)))))) | (~v200(constB89)) | (~((~v197(constB89)) | (~v201(constB89))))),
% 17.21/12.46 inference(tautology,[status(thm)],[])).
% 17.21/12.46 tff(34912,plain,
% 17.21/12.46 (~v200(constB89)),
% 17.21/12.46 inference(unit_resolution,[status(thm)],[34911, 34910, 34750])).
% 17.21/12.46 tff(34913,plain,
% 17.21/12.46 (((~v199(constB89)) | (~v200(constB89))) | v200(constB89)),
% 17.21/12.46 inference(tautology,[status(thm)],[])).
% 17.21/12.46 tff(34914,plain,
% 17.21/12.46 ((~v199(constB89)) | (~v200(constB89))),
% 17.21/12.46 inference(unit_resolution,[status(thm)],[34913, 34912])).
% 17.21/12.46 tff(34915,plain,
% 17.21/12.46 ((~(v198(constB89) <=> (~((~v199(constB89)) | (~v200(constB89)))))) | (~v198(constB89)) | (~((~v199(constB89)) | (~v200(constB89))))),
% 17.21/12.46 inference(tautology,[status(thm)],[])).
% 17.21/12.46 tff(34916,plain,
% 17.21/12.46 (~v198(constB89)),
% 17.21/12.46 inference(unit_resolution,[status(thm)],[34915, 34914, 34748])).
% 17.21/12.46 tff(34917,plain,
% 17.21/12.46 ((~(v194(constB89) | v198(constB89))) | v194(constB89) | v198(constB89)),
% 17.21/12.46 inference(tautology,[status(thm)],[])).
% 17.21/12.46 tff(34918,plain,
% 17.21/12.46 (~(v194(constB89) | v198(constB89))),
% 17.21/12.46 inference(unit_resolution,[status(thm)],[34917, 34916, 34746])).
% 17.21/12.46 tff(34919,plain,
% 17.21/12.46 ((~(v191(constB89) <=> (v194(constB89) | v198(constB89)))) | (~v191(constB89)) | (v194(constB89) | v198(constB89))),
% 17.21/12.46 inference(tautology,[status(thm)],[])).
% 17.21/12.46 tff(34920,plain,
% 17.21/12.46 (~v191(constB89)),
% 17.21/12.46 inference(unit_resolution,[status(thm)],[34919, 34918, 34673])).
% 17.21/12.46 tff(34921,plain,
% 17.21/12.46 ((~(v193(constB90) <=> v191(constB89))) | (~v193(constB90)) | v191(constB89)),
% 17.21/12.46 inference(tautology,[status(thm)],[])).
% 17.21/12.46 tff(34922,plain,
% 17.21/12.46 (~v193(constB90)),
% 17.21/12.46 inference(unit_resolution,[status(thm)],[34921, 34920, 34671])).
% 17.21/12.46 tff(34923,plain,
% 17.21/12.46 ((~(v157(constB90) <=> v193(constB90))) | (~v157(constB90)) | v193(constB90)),
% 17.21/12.46 inference(tautology,[status(thm)],[])).
% 17.21/12.46 tff(34924,plain,
% 17.21/12.46 (~v157(constB90)),
% 17.21/12.46 inference(unit_resolution,[status(thm)],[34923, 34922, 34667])).
% 17.21/12.46 tff(34925,plain,
% 17.21/12.46 (((~v157(constB90)) | (~v195(constB90))) | v157(constB90)),
% 17.21/12.46 inference(tautology,[status(thm)],[])).
% 17.21/12.46 tff(34926,plain,
% 17.21/12.46 ((~v157(constB90)) | (~v195(constB90))),
% 17.21/12.46 inference(unit_resolution,[status(thm)],[34925, 34924])).
% 17.21/12.46 tff(34927,plain,
% 17.21/12.46 ((~(v194(constB90) <=> (~((~v157(constB90)) | (~v195(constB90)))))) | (~v194(constB90)) | (~((~v157(constB90)) | (~v195(constB90))))),
% 17.21/12.46 inference(tautology,[status(thm)],[])).
% 17.21/12.46 tff(34928,plain,
% 17.21/12.46 (~v194(constB90)),
% 17.21/12.46 inference(unit_resolution,[status(thm)],[34927, 34926, 34665])).
% 17.21/12.46 tff(34929,plain,
% 17.21/12.46 ((~(v194(constB90) | v198(constB90))) | v194(constB90) | v198(constB90)),
% 17.21/12.46 inference(tautology,[status(thm)],[])).
% 17.21/12.46 tff(34930,plain,
% 17.21/12.46 (~(v194(constB90) | v198(constB90))),
% 17.21/12.46 inference(unit_resolution,[status(thm)],[34929, 34928, 34658])).
% 17.21/12.46 tff(34931,plain,
% 17.21/12.46 ((~(v191(constB90) <=> (v194(constB90) | v198(constB90)))) | (~v191(constB90)) | (v194(constB90) | v198(constB90))),
% 17.21/12.46 inference(tautology,[status(thm)],[])).
% 17.21/12.46 tff(34932,plain,
% 17.21/12.46 (~v191(constB90)),
% 17.21/12.46 inference(unit_resolution,[status(thm)],[34931, 34930, 34633])).
% 17.21/12.46 tff(34933,plain,
% 17.21/12.46 ((~(v193(constB91) <=> v191(constB90))) | (~v193(constB91)) | v191(constB90)),
% 17.21/12.46 inference(tautology,[status(thm)],[])).
% 17.21/12.46 tff(34934,plain,
% 17.21/12.46 (~v193(constB91)),
% 17.21/12.46 inference(unit_resolution,[status(thm)],[34933, 34932, 34631])).
% 17.21/12.46 tff(34935,plain,
% 17.21/12.46 ($false),
% 17.21/12.46 inference(unit_resolution,[status(thm)],[34934, 34627])).
% 17.21/12.46 tff(34936,plain,(~(constB91 = VarCurr!0)), inference(lemma,lemma(discharge,[]))).
% 17.21/12.46 tff(34937,assumption,(constB87 = VarCurr!0), introduced(assumption)).
% 17.21/12.46 tff(34938,plain,
% 17.21/12.46 (v193(constB87) <=> v193(VarCurr!0)),
% 17.21/12.46 inference(monotonicity,[status(thm)],[34937])).
% 17.21/12.46 tff(34939,plain,
% 17.21/12.46 (v193(VarCurr!0) <=> v193(constB87)),
% 17.21/12.46 inference(symmetry,[status(thm)],[34938])).
% 17.21/12.46 tff(34940,plain,
% 17.21/12.46 (v193(constB87)),
% 17.21/12.46 inference(modus_ponens,[status(thm)],[59, 34939])).
% 17.21/12.46 tff(34941,plain,
% 17.21/12.46 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v193(VarNext) <=> v191(VarCurr)))) | ((~nextState(constB86, constB87)) | (v193(constB87) <=> v191(constB86)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v193(VarNext) <=> v191(VarCurr)))) | (~nextState(constB86, constB87)) | (v193(constB87) <=> v191(constB86)))),
% 17.21/12.46 inference(rewrite,[status(thm)],[])).
% 17.21/12.46 tff(34942,plain,
% 17.21/12.46 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v193(VarNext) <=> v191(VarCurr)))) | ((~nextState(constB86, constB87)) | (v193(constB87) <=> v191(constB86)))),
% 17.21/12.46 inference(quant_inst,[status(thm)],[])).
% 17.21/12.46 tff(34943,plain,
% 17.21/12.46 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v193(VarNext) <=> v191(VarCurr)))) | (~nextState(constB86, constB87)) | (v193(constB87) <=> v191(constB86))),
% 17.21/12.46 inference(modus_ponens,[status(thm)],[34942, 34941])).
% 17.21/12.46 tff(34944,plain,
% 17.21/12.46 (v193(constB87) <=> v191(constB86)),
% 17.21/12.46 inference(unit_resolution,[status(thm)],[34943, 976, 70])).
% 17.21/12.46 tff(34945,plain,
% 17.21/12.46 ((~![VarCurr: $i] : (v191(VarCurr) <=> (v194(VarCurr) | v198(VarCurr)))) | (v191(constB86) <=> (v194(constB86) | v198(constB86)))),
% 17.21/12.46 inference(quant_inst,[status(thm)],[])).
% 17.21/12.46 tff(34946,plain,
% 17.21/12.46 (v191(constB86) <=> (v194(constB86) | v198(constB86))),
% 17.21/12.46 inference(unit_resolution,[status(thm)],[34945, 84])).
% 17.21/12.46 tff(34947,plain,
% 17.21/12.46 ((~![VarCurr: $i] : (v198(VarCurr) <=> (~((~v199(VarCurr)) | (~v200(VarCurr)))))) | (v198(constB86) <=> (~((~v199(constB86)) | (~v200(constB86)))))),
% 17.21/12.46 inference(quant_inst,[status(thm)],[])).
% 17.21/12.46 tff(34948,plain,
% 17.21/12.46 (v198(constB86) <=> (~((~v199(constB86)) | (~v200(constB86))))),
% 17.21/12.46 inference(unit_resolution,[status(thm)],[34947, 96])).
% 17.21/12.46 tff(34949,plain,
% 17.21/12.46 ((~![VarCurr: $i] : (v200(VarCurr) <=> (~((~v197(VarCurr)) | (~v201(VarCurr)))))) | (v200(constB86) <=> (~((~v197(constB86)) | (~v201(constB86)))))),
% 17.21/12.46 inference(quant_inst,[status(thm)],[])).
% 17.21/12.46 tff(34950,plain,
% 17.21/12.46 (v200(constB86) <=> (~((~v197(constB86)) | (~v201(constB86))))),
% 17.21/12.46 inference(unit_resolution,[status(thm)],[34949, 108])).
% 17.21/12.46 tff(34951,plain,
% 17.21/12.46 ((~![VarCurr: $i] : (v197(VarCurr) <=> (~((~v39(VarCurr)) | (~v9(VarCurr)))))) | (v197(constB86) <=> (~((~v39(constB86)) | (~v9(constB86)))))),
% 17.21/12.46 inference(quant_inst,[status(thm)],[])).
% 17.21/12.46 tff(34952,plain,
% 17.21/12.46 (v197(constB86) <=> (~((~v39(constB86)) | (~v9(constB86))))),
% 17.21/12.46 inference(unit_resolution,[status(thm)],[34951, 120])).
% 17.21/12.46 tff(34953,plain,
% 17.21/12.46 ((~![VarCurr: $i] : ((~v39(VarCurr)) <=> v1(VarCurr))) | ((~v39(constB86)) <=> v1(constB86))),
% 17.21/12.46 inference(quant_inst,[status(thm)],[])).
% 17.21/12.46 tff(34954,plain,
% 17.21/12.46 ((~v39(constB86)) <=> v1(constB86)),
% 17.21/12.46 inference(unit_resolution,[status(thm)],[34953, 129])).
% 17.21/12.46 tff(34955,plain,
% 17.21/12.46 ((~((~v39(constB86)) <=> v1(constB86))) | (~v39(constB86)) | (~v1(constB86))),
% 17.21/12.46 inference(tautology,[status(thm)],[])).
% 17.21/12.46 tff(34956,plain,
% 17.21/12.46 ((~((~v39(constB86)) <=> v1(constB86))) | (~v39(constB86))),
% 17.21/12.46 inference(unit_resolution,[status(thm)],[34955, 1038])).
% 17.21/12.46 tff(34957,plain,
% 17.21/12.46 (~v39(constB86)),
% 17.21/12.46 inference(unit_resolution,[status(thm)],[34956, 34954])).
% 17.21/12.46 tff(34958,plain,
% 17.21/12.46 (((~v39(constB86)) | (~v9(constB86))) | v39(constB86)),
% 17.21/12.46 inference(tautology,[status(thm)],[])).
% 17.21/12.46 tff(34959,plain,
% 17.21/12.46 ((~v39(constB86)) | (~v9(constB86))),
% 17.21/12.46 inference(unit_resolution,[status(thm)],[34958, 34957])).
% 17.21/12.46 tff(34960,plain,
% 17.21/12.46 ((~(v197(constB86) <=> (~((~v39(constB86)) | (~v9(constB86)))))) | (~v197(constB86)) | (~((~v39(constB86)) | (~v9(constB86))))),
% 17.21/12.46 inference(tautology,[status(thm)],[])).
% 17.21/12.46 tff(34961,plain,
% 17.21/12.46 ((~(v197(constB86) <=> (~((~v39(constB86)) | (~v9(constB86)))))) | (~v197(constB86))),
% 17.21/12.46 inference(unit_resolution,[status(thm)],[34960, 34959])).
% 17.21/12.46 tff(34962,plain,
% 17.21/12.46 (~v197(constB86)),
% 17.21/12.46 inference(unit_resolution,[status(thm)],[34961, 34952])).
% 17.21/12.46 tff(34963,plain,
% 17.21/12.46 (((~v197(constB86)) | (~v201(constB86))) | v197(constB86)),
% 17.21/12.46 inference(tautology,[status(thm)],[])).
% 17.21/12.46 tff(34964,plain,
% 17.21/12.46 ((~v197(constB86)) | (~v201(constB86))),
% 17.21/12.46 inference(unit_resolution,[status(thm)],[34963, 34962])).
% 17.21/12.46 tff(34965,plain,
% 17.21/12.46 ((~(v200(constB86) <=> (~((~v197(constB86)) | (~v201(constB86)))))) | (~v200(constB86)) | (~((~v197(constB86)) | (~v201(constB86))))),
% 17.21/12.46 inference(tautology,[status(thm)],[])).
% 17.21/12.46 tff(34966,plain,
% 17.21/12.46 ((~(v200(constB86) <=> (~((~v197(constB86)) | (~v201(constB86)))))) | (~v200(constB86))),
% 17.21/12.46 inference(unit_resolution,[status(thm)],[34965, 34964])).
% 17.21/12.46 tff(34967,plain,
% 17.21/12.46 (~v200(constB86)),
% 17.21/12.46 inference(unit_resolution,[status(thm)],[34966, 34950])).
% 17.21/12.46 tff(34968,plain,
% 17.21/12.46 (((~v199(constB86)) | (~v200(constB86))) | v200(constB86)),
% 17.21/12.46 inference(tautology,[status(thm)],[])).
% 17.21/12.46 tff(34969,plain,
% 17.21/12.46 ((~v199(constB86)) | (~v200(constB86))),
% 17.21/12.46 inference(unit_resolution,[status(thm)],[34968, 34967])).
% 17.21/12.46 tff(34970,plain,
% 17.21/12.46 ((~(v198(constB86) <=> (~((~v199(constB86)) | (~v200(constB86)))))) | (~v198(constB86)) | (~((~v199(constB86)) | (~v200(constB86))))),
% 17.21/12.46 inference(tautology,[status(thm)],[])).
% 17.21/12.46 tff(34971,plain,
% 17.21/12.46 (~v198(constB86)),
% 17.21/12.46 inference(unit_resolution,[status(thm)],[34970, 34969, 34948])).
% 17.21/12.46 tff(34972,plain,
% 17.21/12.46 (((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB86) <=> (~((~v157(constB86)) | (~v195(constB86)))))) <=> ((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB86) <=> (~((~v157(constB86)) | (~v195(constB86))))))),
% 17.21/12.46 inference(rewrite,[status(thm)],[])).
% 17.21/12.46 tff(34973,plain,
% 17.21/12.46 ((v194(constB86) <=> (~((~v195(constB86)) | (~v157(constB86))))) <=> (v194(constB86) <=> (~((~v157(constB86)) | (~v195(constB86)))))),
% 17.21/12.46 inference(rewrite,[status(thm)],[])).
% 17.21/12.46 tff(34974,plain,
% 17.21/12.46 (((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB86) <=> (~((~v195(constB86)) | (~v157(constB86)))))) <=> ((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB86) <=> (~((~v157(constB86)) | (~v195(constB86))))))),
% 17.21/12.46 inference(monotonicity,[status(thm)],[34973])).
% 17.21/12.46 tff(34975,plain,
% 17.21/12.46 (((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB86) <=> (~((~v195(constB86)) | (~v157(constB86)))))) <=> ((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB86) <=> (~((~v157(constB86)) | (~v195(constB86))))))),
% 17.21/12.46 inference(transitivity,[status(thm)],[34974, 34972])).
% 17.21/12.46 tff(34976,plain,
% 17.21/12.46 ((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB86) <=> (~((~v195(constB86)) | (~v157(constB86)))))),
% 17.21/12.46 inference(quant_inst,[status(thm)],[])).
% 17.21/12.46 tff(34977,plain,
% 17.21/12.46 ((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB86) <=> (~((~v157(constB86)) | (~v195(constB86)))))),
% 17.21/12.46 inference(modus_ponens,[status(thm)],[34976, 34975])).
% 17.21/12.46 tff(34978,plain,
% 17.21/12.46 (v194(constB86) <=> (~((~v157(constB86)) | (~v195(constB86))))),
% 17.21/12.46 inference(unit_resolution,[status(thm)],[34977, 161])).
% 17.21/12.46 tff(34979,plain,
% 17.21/12.46 ((~![VarNext: $i] : (v157(VarNext) <=> v193(VarNext))) | (v157(constB86) <=> v193(constB86))),
% 17.21/12.46 inference(quant_inst,[status(thm)],[])).
% 17.21/12.46 tff(34980,plain,
% 17.21/12.46 (v157(constB86) <=> v193(constB86)),
% 17.21/12.46 inference(unit_resolution,[status(thm)],[34979, 13])).
% 17.21/12.46 tff(34981,plain,
% 17.21/12.46 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v193(VarNext) <=> v191(VarCurr)))) | ((~nextState(constB85, constB86)) | (v193(constB86) <=> v191(constB85)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v193(VarNext) <=> v191(VarCurr)))) | (~nextState(constB85, constB86)) | (v193(constB86) <=> v191(constB85)))),
% 17.21/12.46 inference(rewrite,[status(thm)],[])).
% 17.21/12.46 tff(34982,plain,
% 17.21/12.46 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v193(VarNext) <=> v191(VarCurr)))) | ((~nextState(constB85, constB86)) | (v193(constB86) <=> v191(constB85)))),
% 17.21/12.46 inference(quant_inst,[status(thm)],[])).
% 17.21/12.46 tff(34983,plain,
% 17.21/12.46 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v193(VarNext) <=> v191(VarCurr)))) | (~nextState(constB85, constB86)) | (v193(constB86) <=> v191(constB85))),
% 17.21/12.46 inference(modus_ponens,[status(thm)],[34982, 34981])).
% 17.21/12.46 tff(34984,plain,
% 17.21/12.46 (v193(constB86) <=> v191(constB85)),
% 17.21/12.46 inference(unit_resolution,[status(thm)],[34983, 1008, 70])).
% 17.21/12.46 tff(34985,plain,
% 17.21/12.46 ((~![VarCurr: $i] : (v191(VarCurr) <=> (v194(VarCurr) | v198(VarCurr)))) | (v191(constB85) <=> (v194(constB85) | v198(constB85)))),
% 17.21/12.46 inference(quant_inst,[status(thm)],[])).
% 17.21/12.46 tff(34986,plain,
% 17.21/12.46 (v191(constB85) <=> (v194(constB85) | v198(constB85))),
% 17.21/12.46 inference(unit_resolution,[status(thm)],[34985, 84])).
% 17.21/12.46 tff(34987,plain,
% 17.21/12.46 (((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB85) <=> (~((~v157(constB85)) | (~v195(constB85)))))) <=> ((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB85) <=> (~((~v157(constB85)) | (~v195(constB85))))))),
% 17.21/12.46 inference(rewrite,[status(thm)],[])).
% 17.21/12.46 tff(34988,plain,
% 17.21/12.46 ((v194(constB85) <=> (~((~v195(constB85)) | (~v157(constB85))))) <=> (v194(constB85) <=> (~((~v157(constB85)) | (~v195(constB85)))))),
% 17.21/12.46 inference(rewrite,[status(thm)],[])).
% 17.21/12.46 tff(34989,plain,
% 17.21/12.46 (((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB85) <=> (~((~v195(constB85)) | (~v157(constB85)))))) <=> ((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB85) <=> (~((~v157(constB85)) | (~v195(constB85))))))),
% 17.21/12.46 inference(monotonicity,[status(thm)],[34988])).
% 17.21/12.46 tff(34990,plain,
% 17.21/12.46 (((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB85) <=> (~((~v195(constB85)) | (~v157(constB85)))))) <=> ((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB85) <=> (~((~v157(constB85)) | (~v195(constB85))))))),
% 17.21/12.46 inference(transitivity,[status(thm)],[34989, 34987])).
% 17.21/12.46 tff(34991,plain,
% 17.21/12.46 ((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB85) <=> (~((~v195(constB85)) | (~v157(constB85)))))),
% 17.21/12.46 inference(quant_inst,[status(thm)],[])).
% 17.21/12.46 tff(34992,plain,
% 17.21/12.46 ((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB85) <=> (~((~v157(constB85)) | (~v195(constB85)))))),
% 17.21/12.46 inference(modus_ponens,[status(thm)],[34991, 34990])).
% 17.21/12.46 tff(34993,plain,
% 17.21/12.46 (v194(constB85) <=> (~((~v157(constB85)) | (~v195(constB85))))),
% 17.21/12.46 inference(unit_resolution,[status(thm)],[34992, 161])).
% 17.21/12.46 tff(34994,plain,
% 17.21/12.46 ((~![VarCurr: $i] : ((~v195(VarCurr)) <=> v196(VarCurr))) | ((~v195(constB85)) <=> v196(constB85))),
% 17.21/12.46 inference(quant_inst,[status(thm)],[])).
% 17.21/12.46 tff(34995,plain,
% 17.21/12.46 ((~v195(constB85)) <=> v196(constB85)),
% 17.21/12.46 inference(unit_resolution,[status(thm)],[34994, 193])).
% 17.21/12.46 tff(34996,plain,
% 17.21/12.46 ((~![VarCurr: $i] : (v196(VarCurr) <=> (v197(VarCurr) | v26(VarCurr)))) | (v196(constB85) <=> (v197(constB85) | v26(constB85)))),
% 17.21/12.46 inference(quant_inst,[status(thm)],[])).
% 17.21/12.46 tff(34997,plain,
% 17.21/12.46 (v196(constB85) <=> (v197(constB85) | v26(constB85))),
% 17.21/12.46 inference(unit_resolution,[status(thm)],[34996, 202])).
% 17.21/12.46 tff(34998,plain,
% 17.21/12.46 ((~![VarCurr: $i] : (v197(VarCurr) <=> (~((~v39(VarCurr)) | (~v9(VarCurr)))))) | (v197(constB85) <=> (~((~v39(constB85)) | (~v9(constB85)))))),
% 17.21/12.46 inference(quant_inst,[status(thm)],[])).
% 17.21/12.46 tff(34999,plain,
% 17.21/12.46 (v197(constB85) <=> (~((~v39(constB85)) | (~v9(constB85))))),
% 17.21/12.46 inference(unit_resolution,[status(thm)],[34998, 120])).
% 17.21/12.46 tff(35000,plain,
% 17.21/12.46 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | ((~nextState(constB85, constB86)) | (v13(constB86) <=> v9(constB85)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | (~nextState(constB85, constB86)) | (v13(constB86) <=> v9(constB85)))),
% 17.21/12.46 inference(rewrite,[status(thm)],[])).
% 17.21/12.46 tff(35001,plain,
% 17.21/12.46 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | ((~nextState(constB85, constB86)) | (v13(constB86) <=> v9(constB85)))),
% 17.21/12.46 inference(quant_inst,[status(thm)],[])).
% 17.21/12.46 tff(35002,plain,
% 17.21/12.46 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | (~nextState(constB85, constB86)) | (v13(constB86) <=> v9(constB85))),
% 17.21/12.46 inference(modus_ponens,[status(thm)],[35001, 35000])).
% 17.21/12.46 tff(35003,plain,
% 17.21/12.46 (v13(constB86) <=> v9(constB85)),
% 17.21/12.46 inference(unit_resolution,[status(thm)],[35002, 1008, 216])).
% 17.21/12.46 tff(35004,plain,
% 17.21/12.46 ((~![VarNext: $i] : (v6(VarNext) <=> v13(VarNext))) | (v6(constB86) <=> v13(constB86))),
% 17.21/12.46 inference(quant_inst,[status(thm)],[])).
% 17.21/12.46 tff(35005,plain,
% 17.21/12.46 (v6(constB86) <=> v13(constB86)),
% 17.21/12.46 inference(unit_resolution,[status(thm)],[35004, 230])).
% 17.21/12.46 tff(35006,plain,
% 17.21/12.46 ((~![VarCurr: $i] : ((~v21(VarCurr)) <=> v6(VarCurr))) | ((~v21(constB86)) <=> v6(constB86))),
% 17.21/12.46 inference(quant_inst,[status(thm)],[])).
% 17.21/12.46 tff(35007,plain,
% 17.21/12.46 ((~v21(constB86)) <=> v6(constB86)),
% 17.21/12.46 inference(unit_resolution,[status(thm)],[35006, 239])).
% 17.21/12.46 tff(35008,plain,
% 17.21/12.46 ((~![VarCurr: $i] : (v19(VarCurr) <=> (v20(VarCurr) | v21(VarCurr)))) | (v19(constB86) <=> (v20(constB86) | v21(constB86)))),
% 17.21/12.46 inference(quant_inst,[status(thm)],[])).
% 17.21/12.46 tff(35009,plain,
% 17.21/12.46 (v19(constB86) <=> (v20(constB86) | v21(constB86))),
% 17.21/12.46 inference(unit_resolution,[status(thm)],[35008, 248])).
% 17.21/12.46 tff(35010,plain,
% 17.21/12.46 ((~![VarCurr: $i] : (v18(VarCurr) <=> (~((~v19(VarCurr)) | (~v22(VarCurr)))))) | (v18(constB86) <=> (~((~v19(constB86)) | (~v22(constB86)))))),
% 17.21/12.46 inference(quant_inst,[status(thm)],[])).
% 17.21/12.46 tff(35011,plain,
% 17.21/12.46 (v18(constB86) <=> (~((~v19(constB86)) | (~v22(constB86))))),
% 17.21/12.46 inference(unit_resolution,[status(thm)],[35010, 260])).
% 17.21/12.46 tff(35012,plain,
% 17.21/12.46 ((~![VarCurr: $i] : ((~v4(VarCurr)) <=> v18(VarCurr))) | ((~v4(constB86)) <=> v18(constB86))),
% 17.21/12.46 inference(quant_inst,[status(thm)],[])).
% 17.21/12.47 tff(35013,plain,
% 17.21/12.47 ((~v4(constB86)) <=> v18(constB86)),
% 17.21/12.47 inference(unit_resolution,[status(thm)],[35012, 269])).
% 17.21/12.47 tff(35014,plain,
% 17.21/12.47 ((~![VarCurr: $i] : v4(VarCurr)) | v4(constB86)),
% 17.21/12.47 inference(quant_inst,[status(thm)],[])).
% 17.21/12.47 tff(35015,plain,
% 17.21/12.47 (v4(constB86)),
% 17.21/12.47 inference(unit_resolution,[status(thm)],[35014, 278])).
% 17.21/12.47 tff(35016,plain,
% 17.21/12.47 ((~((~v4(constB86)) <=> v18(constB86))) | (~v4(constB86)) | (~v18(constB86))),
% 17.21/12.47 inference(tautology,[status(thm)],[])).
% 17.21/12.47 tff(35017,plain,
% 17.21/12.47 (~v18(constB86)),
% 17.21/12.47 inference(unit_resolution,[status(thm)],[35016, 35015, 35013])).
% 17.21/12.47 tff(35018,plain,
% 17.21/12.47 ((~(v18(constB86) <=> (~((~v19(constB86)) | (~v22(constB86)))))) | v18(constB86) | ((~v19(constB86)) | (~v22(constB86)))),
% 17.21/12.47 inference(tautology,[status(thm)],[])).
% 17.21/12.47 tff(35019,plain,
% 17.21/12.47 ((~v19(constB86)) | (~v22(constB86))),
% 17.21/12.47 inference(unit_resolution,[status(thm)],[35018, 35017, 35011])).
% 17.21/12.47 tff(35020,plain,
% 17.21/12.47 ((~![VarCurr: $i] : (v22(VarCurr) <=> (v1(VarCurr) | v6(VarCurr)))) | (v22(constB86) <=> (v1(constB86) | v6(constB86)))),
% 17.21/12.47 inference(quant_inst,[status(thm)],[])).
% 17.21/12.47 tff(35021,plain,
% 17.21/12.47 (v22(constB86) <=> (v1(constB86) | v6(constB86))),
% 17.21/12.47 inference(unit_resolution,[status(thm)],[35020, 291])).
% 17.21/12.47 tff(35022,plain,
% 17.21/12.47 ((v1(constB86) | v6(constB86)) | (~v1(constB86))),
% 17.21/12.47 inference(tautology,[status(thm)],[])).
% 17.21/12.47 tff(35023,plain,
% 17.21/12.47 (v1(constB86) | v6(constB86)),
% 17.21/12.47 inference(unit_resolution,[status(thm)],[35022, 1038])).
% 17.21/12.47 tff(35024,plain,
% 17.21/12.47 ((~(v22(constB86) <=> (v1(constB86) | v6(constB86)))) | v22(constB86) | (~(v1(constB86) | v6(constB86)))),
% 17.21/12.47 inference(tautology,[status(thm)],[])).
% 17.21/12.47 tff(35025,plain,
% 17.21/12.47 ((~(v22(constB86) <=> (v1(constB86) | v6(constB86)))) | v22(constB86)),
% 17.21/12.47 inference(unit_resolution,[status(thm)],[35024, 35023])).
% 17.21/12.47 tff(35026,plain,
% 17.21/12.47 (v22(constB86)),
% 17.21/12.47 inference(unit_resolution,[status(thm)],[35025, 35021])).
% 17.21/12.47 tff(35027,plain,
% 17.21/12.47 ((~((~v19(constB86)) | (~v22(constB86)))) | (~v19(constB86)) | (~v22(constB86))),
% 17.21/12.47 inference(tautology,[status(thm)],[])).
% 17.21/12.47 tff(35028,plain,
% 17.21/12.47 ((~((~v19(constB86)) | (~v22(constB86)))) | (~v19(constB86))),
% 17.21/12.47 inference(unit_resolution,[status(thm)],[35027, 35026])).
% 17.21/12.47 tff(35029,plain,
% 17.21/12.47 (~v19(constB86)),
% 17.21/12.47 inference(unit_resolution,[status(thm)],[35028, 35019])).
% 17.21/12.47 tff(35030,plain,
% 17.21/12.47 ((~(v19(constB86) <=> (v20(constB86) | v21(constB86)))) | v19(constB86) | (~(v20(constB86) | v21(constB86)))),
% 17.21/12.47 inference(tautology,[status(thm)],[])).
% 17.21/12.47 tff(35031,plain,
% 17.21/12.47 (~(v20(constB86) | v21(constB86))),
% 17.21/12.47 inference(unit_resolution,[status(thm)],[35030, 35029, 35009])).
% 17.21/12.47 tff(35032,plain,
% 17.21/12.47 ((v20(constB86) | v21(constB86)) | (~v21(constB86))),
% 17.21/12.47 inference(tautology,[status(thm)],[])).
% 17.21/12.47 tff(35033,plain,
% 17.21/12.47 (~v21(constB86)),
% 17.21/12.47 inference(unit_resolution,[status(thm)],[35032, 35031])).
% 17.21/12.47 tff(35034,plain,
% 17.21/12.47 ((~((~v21(constB86)) <=> v6(constB86))) | v21(constB86) | v6(constB86)),
% 17.21/12.47 inference(tautology,[status(thm)],[])).
% 17.21/12.47 tff(35035,plain,
% 17.21/12.47 (v6(constB86)),
% 17.21/12.47 inference(unit_resolution,[status(thm)],[35034, 35033, 35007])).
% 17.21/12.47 tff(35036,plain,
% 17.21/12.47 ((~(v6(constB86) <=> v13(constB86))) | (~v6(constB86)) | v13(constB86)),
% 17.21/12.47 inference(tautology,[status(thm)],[])).
% 17.21/12.47 tff(35037,plain,
% 17.21/12.47 (v13(constB86)),
% 17.21/12.47 inference(unit_resolution,[status(thm)],[35036, 35035, 35005])).
% 17.21/12.47 tff(35038,plain,
% 17.21/12.47 ((~(v13(constB86) <=> v9(constB85))) | (~v13(constB86)) | v9(constB85)),
% 17.21/12.47 inference(tautology,[status(thm)],[])).
% 17.21/12.47 tff(35039,plain,
% 17.21/12.47 (v9(constB85)),
% 17.21/12.47 inference(unit_resolution,[status(thm)],[35038, 35037, 35003])).
% 17.21/12.47 tff(35040,plain,
% 17.21/12.47 ((~![VarCurr: $i] : ((~v39(VarCurr)) <=> v1(VarCurr))) | ((~v39(constB85)) <=> v1(constB85))),
% 17.21/12.47 inference(quant_inst,[status(thm)],[])).
% 17.21/12.47 tff(35041,plain,
% 17.21/12.47 ((~v39(constB85)) <=> v1(constB85)),
% 17.21/12.47 inference(unit_resolution,[status(thm)],[35040, 129])).
% 17.21/12.47 tff(35042,plain,
% 17.21/12.47 ((~((~v39(constB85)) <=> v1(constB85))) | v39(constB85) | v1(constB85)),
% 17.21/12.47 inference(tautology,[status(thm)],[])).
% 17.21/12.47 tff(35043,plain,
% 17.21/12.47 ((~((~v39(constB85)) <=> v1(constB85))) | v39(constB85)),
% 17.21/12.47 inference(unit_resolution,[status(thm)],[35042, 1030])).
% 17.21/12.47 tff(35044,plain,
% 17.21/12.47 (v39(constB85)),
% 17.21/12.47 inference(unit_resolution,[status(thm)],[35043, 35041])).
% 17.21/12.47 tff(35045,plain,
% 17.21/12.47 ((~((~v39(constB85)) | (~v9(constB85)))) | (~v39(constB85)) | (~v9(constB85))),
% 17.21/12.47 inference(tautology,[status(thm)],[])).
% 17.21/12.47 tff(35046,plain,
% 17.21/12.47 ((~((~v39(constB85)) | (~v9(constB85)))) | (~v9(constB85))),
% 17.21/12.47 inference(unit_resolution,[status(thm)],[35045, 35044])).
% 17.21/12.47 tff(35047,plain,
% 17.21/12.47 (~((~v39(constB85)) | (~v9(constB85)))),
% 17.21/12.47 inference(unit_resolution,[status(thm)],[35046, 35039])).
% 17.21/12.47 tff(35048,plain,
% 17.21/12.47 ((~(v197(constB85) <=> (~((~v39(constB85)) | (~v9(constB85)))))) | v197(constB85) | ((~v39(constB85)) | (~v9(constB85)))),
% 17.21/12.47 inference(tautology,[status(thm)],[])).
% 17.21/12.47 tff(35049,plain,
% 17.21/12.47 (v197(constB85)),
% 17.21/12.47 inference(unit_resolution,[status(thm)],[35048, 35047, 34999])).
% 17.21/12.47 tff(35050,plain,
% 17.21/12.47 ((v197(constB85) | v26(constB85)) | (~v197(constB85))),
% 17.21/12.47 inference(tautology,[status(thm)],[])).
% 17.21/12.47 tff(35051,plain,
% 17.21/12.47 (v197(constB85) | v26(constB85)),
% 17.21/12.47 inference(unit_resolution,[status(thm)],[35050, 35049])).
% 17.21/12.47 tff(35052,plain,
% 17.21/12.47 ((~(v196(constB85) <=> (v197(constB85) | v26(constB85)))) | v196(constB85) | (~(v197(constB85) | v26(constB85)))),
% 17.21/12.47 inference(tautology,[status(thm)],[])).
% 17.21/12.47 tff(35053,plain,
% 17.21/12.47 (v196(constB85)),
% 17.21/12.47 inference(unit_resolution,[status(thm)],[35052, 35051, 34997])).
% 17.21/12.47 tff(35054,plain,
% 17.21/12.47 ((~((~v195(constB85)) <=> v196(constB85))) | (~v195(constB85)) | (~v196(constB85))),
% 17.21/12.47 inference(tautology,[status(thm)],[])).
% 17.21/12.47 tff(35055,plain,
% 17.21/12.47 (~v195(constB85)),
% 17.21/12.47 inference(unit_resolution,[status(thm)],[35054, 35053, 34995])).
% 17.21/12.47 tff(35056,plain,
% 17.21/12.47 (((~v157(constB85)) | (~v195(constB85))) | v195(constB85)),
% 17.21/12.47 inference(tautology,[status(thm)],[])).
% 17.21/12.47 tff(35057,plain,
% 17.21/12.47 ((~v157(constB85)) | (~v195(constB85))),
% 17.21/12.47 inference(unit_resolution,[status(thm)],[35056, 35055])).
% 17.21/12.47 tff(35058,plain,
% 17.21/12.47 ((~(v194(constB85) <=> (~((~v157(constB85)) | (~v195(constB85)))))) | (~v194(constB85)) | (~((~v157(constB85)) | (~v195(constB85))))),
% 17.21/12.47 inference(tautology,[status(thm)],[])).
% 17.21/12.47 tff(35059,plain,
% 17.21/12.47 (~v194(constB85)),
% 17.21/12.47 inference(unit_resolution,[status(thm)],[35058, 35057, 34993])).
% 17.21/12.47 tff(35060,plain,
% 17.21/12.47 ((~![VarCurr: $i] : (v198(VarCurr) <=> (~((~v199(VarCurr)) | (~v200(VarCurr)))))) | (v198(constB85) <=> (~((~v199(constB85)) | (~v200(constB85)))))),
% 17.21/12.47 inference(quant_inst,[status(thm)],[])).
% 17.21/12.47 tff(35061,plain,
% 17.21/12.47 (v198(constB85) <=> (~((~v199(constB85)) | (~v200(constB85))))),
% 17.21/12.47 inference(unit_resolution,[status(thm)],[35060, 96])).
% 17.21/12.47 tff(35062,plain,
% 17.21/12.47 ((~![VarCurr: $i] : (v200(VarCurr) <=> (~((~v197(VarCurr)) | (~v201(VarCurr)))))) | (v200(constB85) <=> (~((~v197(constB85)) | (~v201(constB85)))))),
% 17.21/12.47 inference(quant_inst,[status(thm)],[])).
% 17.21/12.47 tff(35063,plain,
% 17.21/12.47 (v200(constB85) <=> (~((~v197(constB85)) | (~v201(constB85))))),
% 17.21/12.47 inference(unit_resolution,[status(thm)],[35062, 108])).
% 17.21/12.47 tff(35064,plain,
% 17.21/12.47 ((~![VarCurr: $i] : (v201(VarCurr) <=> (~((~v159(VarCurr)) | (~v161(VarCurr)))))) | (v201(constB85) <=> (~((~v159(constB85)) | (~v161(constB85)))))),
% 17.21/12.47 inference(quant_inst,[status(thm)],[])).
% 17.21/12.47 tff(35065,plain,
% 17.21/12.47 (v201(constB85) <=> (~((~v159(constB85)) | (~v161(constB85))))),
% 17.21/12.47 inference(unit_resolution,[status(thm)],[35064, 348])).
% 17.21/12.47 tff(35066,plain,
% 17.21/12.47 ((~![VarCurr: $i] : (v161(VarCurr) <=> v163(VarCurr))) | (v161(constB85) <=> v163(constB85))),
% 17.21/12.47 inference(quant_inst,[status(thm)],[])).
% 17.21/12.47 tff(35067,plain,
% 17.21/12.47 (v161(constB85) <=> v163(constB85)),
% 17.21/12.47 inference(unit_resolution,[status(thm)],[35066, 357])).
% 17.21/12.47 tff(35068,plain,
% 17.21/12.47 ((~![VarCurr: $i] : (v171(VarCurr) <=> (v142(VarCurr) | v150(VarCurr)))) | (v171(constB85) <=> (v142(constB85) | v150(constB85)))),
% 17.21/12.47 inference(quant_inst,[status(thm)],[])).
% 17.21/12.47 tff(35069,plain,
% 17.21/12.47 (v171(constB85) <=> (v142(constB85) | v150(constB85))),
% 17.21/12.47 inference(unit_resolution,[status(thm)],[35068, 369])).
% 17.21/12.47 tff(35070,plain,
% 17.21/12.47 ((~![VarCurr: $i] : (v142(VarCurr) <=> (v143(VarCurr) | v144(VarCurr)))) | (v142(constB85) <=> (v143(constB85) | v144(constB85)))),
% 17.21/12.47 inference(quant_inst,[status(thm)],[])).
% 17.21/12.47 tff(35071,plain,
% 17.21/12.47 (v142(constB85) <=> (v143(constB85) | v144(constB85))),
% 17.21/12.47 inference(unit_resolution,[status(thm)],[35070, 378])).
% 17.21/12.47 tff(35072,plain,
% 17.21/12.47 (((~![VarCurr: $i] : (v144(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex2)))))) | (v144(constB85) <=> (~((~v88(constB85, bitIndex2)) | (~v88(constB85, bitIndex1)) | v88(constB85, bitIndex0))))) <=> ((~![VarCurr: $i] : (v144(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex2)))))) | (v144(constB85) <=> (~((~v88(constB85, bitIndex2)) | (~v88(constB85, bitIndex1)) | v88(constB85, bitIndex0)))))),
% 17.21/12.47 inference(rewrite,[status(thm)],[])).
% 17.21/12.47 tff(35073,plain,
% 17.21/12.47 ((v144(constB85) <=> (~(v88(constB85, bitIndex0) | (~v88(constB85, bitIndex1)) | (~v88(constB85, bitIndex2))))) <=> (v144(constB85) <=> (~((~v88(constB85, bitIndex2)) | (~v88(constB85, bitIndex1)) | v88(constB85, bitIndex0))))),
% 17.21/12.47 inference(rewrite,[status(thm)],[])).
% 17.21/12.47 tff(35074,plain,
% 17.21/12.47 (((~![VarCurr: $i] : (v144(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex2)))))) | (v144(constB85) <=> (~(v88(constB85, bitIndex0) | (~v88(constB85, bitIndex1)) | (~v88(constB85, bitIndex2)))))) <=> ((~![VarCurr: $i] : (v144(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex2)))))) | (v144(constB85) <=> (~((~v88(constB85, bitIndex2)) | (~v88(constB85, bitIndex1)) | v88(constB85, bitIndex0)))))),
% 17.21/12.47 inference(monotonicity,[status(thm)],[35073])).
% 17.21/12.47 tff(35075,plain,
% 17.21/12.47 (((~![VarCurr: $i] : (v144(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex2)))))) | (v144(constB85) <=> (~(v88(constB85, bitIndex0) | (~v88(constB85, bitIndex1)) | (~v88(constB85, bitIndex2)))))) <=> ((~![VarCurr: $i] : (v144(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex2)))))) | (v144(constB85) <=> (~((~v88(constB85, bitIndex2)) | (~v88(constB85, bitIndex1)) | v88(constB85, bitIndex0)))))),
% 17.21/12.47 inference(transitivity,[status(thm)],[35074, 35072])).
% 17.21/12.47 tff(35076,plain,
% 17.21/12.47 ((~![VarCurr: $i] : (v144(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex2)))))) | (v144(constB85) <=> (~(v88(constB85, bitIndex0) | (~v88(constB85, bitIndex1)) | (~v88(constB85, bitIndex2)))))),
% 17.21/12.47 inference(quant_inst,[status(thm)],[])).
% 17.21/12.47 tff(35077,plain,
% 17.21/12.47 ((~![VarCurr: $i] : (v144(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex2)))))) | (v144(constB85) <=> (~((~v88(constB85, bitIndex2)) | (~v88(constB85, bitIndex1)) | v88(constB85, bitIndex0))))),
% 17.21/12.47 inference(modus_ponens,[status(thm)],[35076, 35075])).
% 17.21/12.47 tff(35078,plain,
% 17.21/12.47 (v144(constB85) <=> (~((~v88(constB85, bitIndex2)) | (~v88(constB85, bitIndex1)) | v88(constB85, bitIndex0)))),
% 17.21/12.47 inference(unit_resolution,[status(thm)],[35077, 393])).
% 17.21/12.47 tff(35079,plain,
% 17.21/12.47 (((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | ((~less_3(bitIndex2)) | (v88(constB85, bitIndex2) <=> v90(constB85, bitIndex2)))) <=> ((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | (~less_3(bitIndex2)) | (v88(constB85, bitIndex2) <=> v90(constB85, bitIndex2)))),
% 17.21/12.47 inference(rewrite,[status(thm)],[])).
% 17.21/12.47 tff(35080,plain,
% 17.21/12.47 ((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | ((~less_3(bitIndex2)) | (v88(constB85, bitIndex2) <=> v90(constB85, bitIndex2)))),
% 17.21/12.47 inference(quant_inst,[status(thm)],[])).
% 17.21/12.47 tff(35081,plain,
% 17.21/12.47 ((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | (~less_3(bitIndex2)) | (v88(constB85, bitIndex2) <=> v90(constB85, bitIndex2))),
% 17.21/12.47 inference(modus_ponens,[status(thm)],[35080, 35079])).
% 17.21/12.47 tff(35082,plain,
% 17.21/12.47 (v88(constB85, bitIndex2) <=> v90(constB85, bitIndex2)),
% 17.21/12.47 inference(unit_resolution,[status(thm)],[35081, 413, 410])).
% 17.21/12.47 tff(35083,plain,
% 17.21/12.47 ((~(v88(constB85, bitIndex2) <=> v90(constB85, bitIndex2))) | v88(constB85, bitIndex2) | (~v90(constB85, bitIndex2))),
% 17.21/12.47 inference(tautology,[status(thm)],[])).
% 17.21/12.47 tff(35084,plain,
% 17.21/12.47 (v88(constB85, bitIndex2)),
% 17.21/12.47 inference(unit_resolution,[status(thm)],[35083, 12133, 35082])).
% 17.21/12.47 tff(35085,plain,
% 17.21/12.47 (((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | ((~less_3(bitIndex0)) | (v88(constB85, bitIndex0) <=> v90(constB85, bitIndex0)))) <=> ((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | (~less_3(bitIndex0)) | (v88(constB85, bitIndex0) <=> v90(constB85, bitIndex0)))),
% 17.21/12.47 inference(rewrite,[status(thm)],[])).
% 17.21/12.47 tff(35086,plain,
% 17.21/12.47 ((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | ((~less_3(bitIndex0)) | (v88(constB85, bitIndex0) <=> v90(constB85, bitIndex0)))),
% 17.21/12.47 inference(quant_inst,[status(thm)],[])).
% 17.21/12.47 tff(35087,plain,
% 17.21/12.47 ((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | (~less_3(bitIndex0)) | (v88(constB85, bitIndex0) <=> v90(constB85, bitIndex0))),
% 17.21/12.47 inference(modus_ponens,[status(thm)],[35086, 35085])).
% 17.21/12.47 tff(35088,plain,
% 17.21/12.47 (v88(constB85, bitIndex0) <=> v90(constB85, bitIndex0)),
% 17.21/12.47 inference(unit_resolution,[status(thm)],[35087, 5004, 410])).
% 17.21/12.47 tff(35089,plain,
% 17.21/12.47 ((~(v88(constB85, bitIndex0) <=> v90(constB85, bitIndex0))) | (~v88(constB85, bitIndex0)) | v90(constB85, bitIndex0)),
% 17.21/12.47 inference(tautology,[status(thm)],[])).
% 17.21/12.47 tff(35090,plain,
% 17.21/12.47 (~v88(constB85, bitIndex0)),
% 17.21/12.47 inference(unit_resolution,[status(thm)],[35089, 12164, 35088])).
% 17.21/12.47 tff(35091,plain,
% 17.21/12.47 (((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | ((~less_3(bitIndex1)) | (v88(constB85, bitIndex1) <=> v90(constB85, bitIndex1)))) <=> ((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | (~less_3(bitIndex1)) | (v88(constB85, bitIndex1) <=> v90(constB85, bitIndex1)))),
% 17.21/12.47 inference(rewrite,[status(thm)],[])).
% 17.21/12.47 tff(35092,plain,
% 17.21/12.47 ((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | ((~less_3(bitIndex1)) | (v88(constB85, bitIndex1) <=> v90(constB85, bitIndex1)))),
% 17.21/12.47 inference(quant_inst,[status(thm)],[])).
% 17.21/12.47 tff(35093,plain,
% 17.21/12.47 ((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | (~less_3(bitIndex1)) | (v88(constB85, bitIndex1) <=> v90(constB85, bitIndex1))),
% 17.21/12.47 inference(modus_ponens,[status(thm)],[35092, 35091])).
% 17.21/12.47 tff(35094,plain,
% 17.21/12.47 (v88(constB85, bitIndex1) <=> v90(constB85, bitIndex1)),
% 17.21/12.47 inference(unit_resolution,[status(thm)],[35093, 5017, 410])).
% 17.21/12.47 tff(35095,plain,
% 17.21/12.47 ((~(v88(constB85, bitIndex1) <=> v90(constB85, bitIndex1))) | v88(constB85, bitIndex1) | (~v90(constB85, bitIndex1))),
% 17.21/12.47 inference(tautology,[status(thm)],[])).
% 17.21/12.47 tff(35096,plain,
% 17.21/12.47 (v88(constB85, bitIndex1)),
% 17.21/12.47 inference(unit_resolution,[status(thm)],[35095, 12195, 35094])).
% 17.21/12.47 tff(35097,plain,
% 17.21/12.47 ((~((~v88(constB85, bitIndex2)) | (~v88(constB85, bitIndex1)) | v88(constB85, bitIndex0))) | (~v88(constB85, bitIndex2)) | (~v88(constB85, bitIndex1)) | v88(constB85, bitIndex0)),
% 17.21/12.47 inference(tautology,[status(thm)],[])).
% 17.21/12.47 tff(35098,plain,
% 17.21/12.47 (~((~v88(constB85, bitIndex2)) | (~v88(constB85, bitIndex1)) | v88(constB85, bitIndex0))),
% 17.21/12.47 inference(unit_resolution,[status(thm)],[35097, 35096, 35090, 35084])).
% 17.21/12.47 tff(35099,plain,
% 17.21/12.47 ((~(v144(constB85) <=> (~((~v88(constB85, bitIndex2)) | (~v88(constB85, bitIndex1)) | v88(constB85, bitIndex0))))) | v144(constB85) | ((~v88(constB85, bitIndex2)) | (~v88(constB85, bitIndex1)) | v88(constB85, bitIndex0))),
% 17.21/12.47 inference(tautology,[status(thm)],[])).
% 17.21/12.47 tff(35100,plain,
% 17.21/12.47 (v144(constB85)),
% 17.21/12.47 inference(unit_resolution,[status(thm)],[35099, 35098, 35078])).
% 17.21/12.47 tff(35101,plain,
% 17.21/12.47 ((v143(constB85) | v144(constB85)) | (~v144(constB85))),
% 17.21/12.47 inference(tautology,[status(thm)],[])).
% 17.21/12.47 tff(35102,plain,
% 17.21/12.47 (v143(constB85) | v144(constB85)),
% 17.21/12.47 inference(unit_resolution,[status(thm)],[35101, 35100])).
% 17.21/12.47 tff(35103,plain,
% 17.21/12.47 ((~(v142(constB85) <=> (v143(constB85) | v144(constB85)))) | v142(constB85) | (~(v143(constB85) | v144(constB85)))),
% 17.21/12.47 inference(tautology,[status(thm)],[])).
% 17.21/12.47 tff(35104,plain,
% 17.21/12.47 (v142(constB85)),
% 17.21/12.47 inference(unit_resolution,[status(thm)],[35103, 35102, 35071])).
% 17.21/12.48 tff(35105,plain,
% 17.21/12.48 ((v142(constB85) | v150(constB85)) | (~v142(constB85))),
% 17.21/12.48 inference(tautology,[status(thm)],[])).
% 17.21/12.48 tff(35106,plain,
% 17.21/12.48 (v142(constB85) | v150(constB85)),
% 17.21/12.48 inference(unit_resolution,[status(thm)],[35105, 35104])).
% 17.21/12.48 tff(35107,plain,
% 17.21/12.48 ((~(v171(constB85) <=> (v142(constB85) | v150(constB85)))) | v171(constB85) | (~(v142(constB85) | v150(constB85)))),
% 17.21/12.48 inference(tautology,[status(thm)],[])).
% 17.21/12.48 tff(35108,plain,
% 17.21/12.48 (v171(constB85)),
% 17.21/12.48 inference(unit_resolution,[status(thm)],[35107, 35106, 35069])).
% 17.21/12.48 tff(35109,plain,
% 17.21/12.48 (((~![VarCurr: $i] : ((~v171(VarCurr)) | (~v170(VarCurr)))) | ((~v170(constB85)) | (~v171(constB85)))) <=> ((~![VarCurr: $i] : ((~v171(VarCurr)) | (~v170(VarCurr)))) | (~v170(constB85)) | (~v171(constB85)))),
% 17.21/12.48 inference(rewrite,[status(thm)],[])).
% 17.21/12.48 tff(35110,plain,
% 17.21/12.48 (((~v171(constB85)) | (~v170(constB85))) <=> ((~v170(constB85)) | (~v171(constB85)))),
% 17.21/12.48 inference(rewrite,[status(thm)],[])).
% 17.21/12.48 tff(35111,plain,
% 17.21/12.48 (((~![VarCurr: $i] : ((~v171(VarCurr)) | (~v170(VarCurr)))) | ((~v171(constB85)) | (~v170(constB85)))) <=> ((~![VarCurr: $i] : ((~v171(VarCurr)) | (~v170(VarCurr)))) | ((~v170(constB85)) | (~v171(constB85))))),
% 17.21/12.48 inference(monotonicity,[status(thm)],[35110])).
% 17.21/12.48 tff(35112,plain,
% 17.21/12.48 (((~![VarCurr: $i] : ((~v171(VarCurr)) | (~v170(VarCurr)))) | ((~v171(constB85)) | (~v170(constB85)))) <=> ((~![VarCurr: $i] : ((~v171(VarCurr)) | (~v170(VarCurr)))) | (~v170(constB85)) | (~v171(constB85)))),
% 17.21/12.48 inference(transitivity,[status(thm)],[35111, 35109])).
% 17.21/12.48 tff(35113,plain,
% 17.21/12.48 ((~![VarCurr: $i] : ((~v171(VarCurr)) | (~v170(VarCurr)))) | ((~v171(constB85)) | (~v170(constB85)))),
% 17.21/12.48 inference(quant_inst,[status(thm)],[])).
% 17.21/12.48 tff(35114,plain,
% 17.21/12.48 ((~![VarCurr: $i] : ((~v171(VarCurr)) | (~v170(VarCurr)))) | (~v170(constB85)) | (~v171(constB85))),
% 17.21/12.48 inference(modus_ponens,[status(thm)],[35113, 35112])).
% 17.21/12.48 tff(35115,plain,
% 17.21/12.48 ((~v170(constB85)) | (~v171(constB85))),
% 17.21/12.48 inference(unit_resolution,[status(thm)],[35114, 13061])).
% 17.21/12.48 tff(35116,plain,
% 17.21/12.48 (~v170(constB85)),
% 17.21/12.48 inference(unit_resolution,[status(thm)],[35115, 35108])).
% 17.21/12.48 tff(35117,plain,
% 17.21/12.48 ((~![VarCurr: $i] : (v166(VarCurr) <=> (v145(VarCurr) | v167(VarCurr)))) | (v166(constB85) <=> (v145(constB85) | v167(constB85)))),
% 17.21/12.48 inference(quant_inst,[status(thm)],[])).
% 17.21/12.48 tff(35118,plain,
% 17.21/12.48 (v166(constB85) <=> (v145(constB85) | v167(constB85))),
% 17.21/12.48 inference(unit_resolution,[status(thm)],[35117, 13079])).
% 17.21/12.48 tff(35119,plain,
% 17.21/12.48 ((~![VarCurr: $i] : (v167(VarCurr) <=> (v142(VarCurr) | v168(VarCurr)))) | (v167(constB85) <=> (v142(constB85) | v168(constB85)))),
% 17.21/12.48 inference(quant_inst,[status(thm)],[])).
% 17.21/12.48 tff(35120,plain,
% 17.21/12.48 (v167(constB85) <=> (v142(constB85) | v168(constB85))),
% 17.21/12.48 inference(unit_resolution,[status(thm)],[35119, 13091])).
% 17.21/12.48 tff(35121,plain,
% 17.21/12.48 ((v142(constB85) | v168(constB85)) | (~v142(constB85))),
% 17.21/12.48 inference(tautology,[status(thm)],[])).
% 17.21/12.48 tff(35122,plain,
% 17.21/12.48 (v142(constB85) | v168(constB85)),
% 17.21/12.48 inference(unit_resolution,[status(thm)],[35121, 35104])).
% 17.21/12.48 tff(35123,plain,
% 17.21/12.48 ((~(v167(constB85) <=> (v142(constB85) | v168(constB85)))) | v167(constB85) | (~(v142(constB85) | v168(constB85)))),
% 17.21/12.48 inference(tautology,[status(thm)],[])).
% 17.21/12.48 tff(35124,plain,
% 17.21/12.48 (v167(constB85)),
% 17.21/12.48 inference(unit_resolution,[status(thm)],[35123, 35122, 35120])).
% 17.21/12.48 tff(35125,plain,
% 17.21/12.48 ((v145(constB85) | v167(constB85)) | (~v167(constB85))),
% 17.21/12.48 inference(tautology,[status(thm)],[])).
% 17.21/12.48 tff(35126,plain,
% 17.21/12.48 (v145(constB85) | v167(constB85)),
% 17.21/12.48 inference(unit_resolution,[status(thm)],[35125, 35124])).
% 17.21/12.48 tff(35127,plain,
% 17.21/12.48 ((~(v166(constB85) <=> (v145(constB85) | v167(constB85)))) | v166(constB85) | (~(v145(constB85) | v167(constB85)))),
% 17.21/12.48 inference(tautology,[status(thm)],[])).
% 17.21/12.48 tff(35128,plain,
% 17.21/12.48 (v166(constB85)),
% 17.21/12.48 inference(unit_resolution,[status(thm)],[35127, 35126, 35118])).
% 17.21/12.48 tff(35129,plain,
% 17.21/12.48 (((~![VarNext: $i] : ((~v166(VarNext)) | (v163(VarNext) <=> v170(VarNext)))) | ((~v166(constB85)) | (v163(constB85) <=> v170(constB85)))) <=> ((~![VarNext: $i] : ((~v166(VarNext)) | (v163(VarNext) <=> v170(VarNext)))) | (~v166(constB85)) | (v163(constB85) <=> v170(constB85)))),
% 17.21/12.48 inference(rewrite,[status(thm)],[])).
% 17.21/12.48 tff(35130,plain,
% 17.21/12.48 ((~![VarNext: $i] : ((~v166(VarNext)) | (v163(VarNext) <=> v170(VarNext)))) | ((~v166(constB85)) | (v163(constB85) <=> v170(constB85)))),
% 17.21/12.48 inference(quant_inst,[status(thm)],[])).
% 17.21/12.48 tff(35131,plain,
% 17.21/12.48 ((~![VarNext: $i] : ((~v166(VarNext)) | (v163(VarNext) <=> v170(VarNext)))) | (~v166(constB85)) | (v163(constB85) <=> v170(constB85))),
% 17.21/12.48 inference(modus_ponens,[status(thm)],[35130, 35129])).
% 17.21/12.48 tff(35132,plain,
% 17.21/12.48 ((~v166(constB85)) | (v163(constB85) <=> v170(constB85))),
% 17.21/12.48 inference(unit_resolution,[status(thm)],[35131, 13111])).
% 17.21/12.48 tff(35133,plain,
% 17.21/12.48 (v163(constB85) <=> v170(constB85)),
% 17.21/12.48 inference(unit_resolution,[status(thm)],[35132, 35128])).
% 17.21/12.48 tff(35134,plain,
% 17.21/12.48 ((~(v163(constB85) <=> v170(constB85))) | (~v163(constB85)) | v170(constB85)),
% 17.21/12.48 inference(tautology,[status(thm)],[])).
% 17.21/12.48 tff(35135,plain,
% 17.21/12.48 (~v163(constB85)),
% 17.21/12.48 inference(unit_resolution,[status(thm)],[35134, 35133, 35116])).
% 17.21/12.48 tff(35136,plain,
% 17.21/12.48 ((~(v161(constB85) <=> v163(constB85))) | (~v161(constB85)) | v163(constB85)),
% 17.21/12.48 inference(tautology,[status(thm)],[])).
% 17.21/12.48 tff(35137,plain,
% 17.21/12.48 (~v161(constB85)),
% 17.21/12.48 inference(unit_resolution,[status(thm)],[35136, 35135, 35067])).
% 17.21/12.48 tff(35138,plain,
% 17.21/12.48 (((~v159(constB85)) | (~v161(constB85))) | v161(constB85)),
% 17.21/12.48 inference(tautology,[status(thm)],[])).
% 17.21/12.48 tff(35139,plain,
% 17.21/12.48 ((~v159(constB85)) | (~v161(constB85))),
% 17.21/12.48 inference(unit_resolution,[status(thm)],[35138, 35137])).
% 17.21/12.48 tff(35140,plain,
% 17.21/12.48 ((~(v201(constB85) <=> (~((~v159(constB85)) | (~v161(constB85)))))) | (~v201(constB85)) | (~((~v159(constB85)) | (~v161(constB85))))),
% 17.21/12.48 inference(tautology,[status(thm)],[])).
% 17.21/12.48 tff(35141,plain,
% 17.21/12.48 (~v201(constB85)),
% 17.21/12.48 inference(unit_resolution,[status(thm)],[35140, 35139, 35065])).
% 17.21/12.48 tff(35142,plain,
% 17.21/12.48 (((~v197(constB85)) | (~v201(constB85))) | v201(constB85)),
% 17.21/12.48 inference(tautology,[status(thm)],[])).
% 17.21/12.48 tff(35143,plain,
% 17.21/12.48 ((~v197(constB85)) | (~v201(constB85))),
% 17.21/12.48 inference(unit_resolution,[status(thm)],[35142, 35141])).
% 17.21/12.48 tff(35144,plain,
% 17.21/12.48 ((~(v200(constB85) <=> (~((~v197(constB85)) | (~v201(constB85)))))) | (~v200(constB85)) | (~((~v197(constB85)) | (~v201(constB85))))),
% 17.21/12.48 inference(tautology,[status(thm)],[])).
% 17.21/12.48 tff(35145,plain,
% 17.21/12.48 (~v200(constB85)),
% 17.21/12.48 inference(unit_resolution,[status(thm)],[35144, 35143, 35063])).
% 17.21/12.48 tff(35146,plain,
% 17.21/12.48 (((~v199(constB85)) | (~v200(constB85))) | v200(constB85)),
% 17.21/12.48 inference(tautology,[status(thm)],[])).
% 17.21/12.48 tff(35147,plain,
% 17.21/12.48 ((~v199(constB85)) | (~v200(constB85))),
% 17.21/12.48 inference(unit_resolution,[status(thm)],[35146, 35145])).
% 17.21/12.48 tff(35148,plain,
% 17.21/12.48 ((~(v198(constB85) <=> (~((~v199(constB85)) | (~v200(constB85)))))) | (~v198(constB85)) | (~((~v199(constB85)) | (~v200(constB85))))),
% 17.21/12.48 inference(tautology,[status(thm)],[])).
% 17.21/12.48 tff(35149,plain,
% 17.21/12.48 (~v198(constB85)),
% 17.21/12.48 inference(unit_resolution,[status(thm)],[35148, 35147, 35061])).
% 17.21/12.48 tff(35150,plain,
% 17.21/12.48 ((~(v194(constB85) | v198(constB85))) | v194(constB85) | v198(constB85)),
% 17.21/12.48 inference(tautology,[status(thm)],[])).
% 17.21/12.48 tff(35151,plain,
% 17.21/12.48 (~(v194(constB85) | v198(constB85))),
% 17.21/12.48 inference(unit_resolution,[status(thm)],[35150, 35149, 35059])).
% 17.21/12.48 tff(35152,plain,
% 17.21/12.48 ((~(v191(constB85) <=> (v194(constB85) | v198(constB85)))) | (~v191(constB85)) | (v194(constB85) | v198(constB85))),
% 17.21/12.48 inference(tautology,[status(thm)],[])).
% 17.21/12.48 tff(35153,plain,
% 17.21/12.48 (~v191(constB85)),
% 17.21/12.48 inference(unit_resolution,[status(thm)],[35152, 35151, 34986])).
% 17.21/12.48 tff(35154,plain,
% 17.21/12.48 ((~(v193(constB86) <=> v191(constB85))) | (~v193(constB86)) | v191(constB85)),
% 17.21/12.48 inference(tautology,[status(thm)],[])).
% 17.21/12.48 tff(35155,plain,
% 17.21/12.48 (~v193(constB86)),
% 17.21/12.48 inference(unit_resolution,[status(thm)],[35154, 35153, 34984])).
% 17.21/12.48 tff(35156,plain,
% 17.21/12.48 ((~(v157(constB86) <=> v193(constB86))) | (~v157(constB86)) | v193(constB86)),
% 17.21/12.48 inference(tautology,[status(thm)],[])).
% 17.21/12.48 tff(35157,plain,
% 17.21/12.48 (~v157(constB86)),
% 17.21/12.48 inference(unit_resolution,[status(thm)],[35156, 35155, 34980])).
% 17.21/12.48 tff(35158,plain,
% 17.21/12.48 (((~v157(constB86)) | (~v195(constB86))) | v157(constB86)),
% 17.21/12.48 inference(tautology,[status(thm)],[])).
% 17.21/12.48 tff(35159,plain,
% 17.21/12.48 ((~v157(constB86)) | (~v195(constB86))),
% 17.21/12.48 inference(unit_resolution,[status(thm)],[35158, 35157])).
% 17.21/12.48 tff(35160,plain,
% 17.21/12.48 ((~(v194(constB86) <=> (~((~v157(constB86)) | (~v195(constB86)))))) | (~v194(constB86)) | (~((~v157(constB86)) | (~v195(constB86))))),
% 17.21/12.48 inference(tautology,[status(thm)],[])).
% 17.21/12.48 tff(35161,plain,
% 17.21/12.48 (~v194(constB86)),
% 17.21/12.48 inference(unit_resolution,[status(thm)],[35160, 35159, 34978])).
% 17.21/12.48 tff(35162,plain,
% 17.21/12.48 ((~(v194(constB86) | v198(constB86))) | v194(constB86) | v198(constB86)),
% 17.21/12.48 inference(tautology,[status(thm)],[])).
% 17.21/12.48 tff(35163,plain,
% 17.21/12.48 (~(v194(constB86) | v198(constB86))),
% 17.21/12.48 inference(unit_resolution,[status(thm)],[35162, 35161, 34971])).
% 17.21/12.48 tff(35164,plain,
% 17.21/12.48 ((~(v191(constB86) <=> (v194(constB86) | v198(constB86)))) | (~v191(constB86)) | (v194(constB86) | v198(constB86))),
% 17.21/12.48 inference(tautology,[status(thm)],[])).
% 17.21/12.48 tff(35165,plain,
% 17.21/12.48 (~v191(constB86)),
% 17.21/12.48 inference(unit_resolution,[status(thm)],[35164, 35163, 34946])).
% 17.21/12.48 tff(35166,plain,
% 17.21/12.48 ((~(v193(constB87) <=> v191(constB86))) | (~v193(constB87)) | v191(constB86)),
% 17.21/12.48 inference(tautology,[status(thm)],[])).
% 17.21/12.48 tff(35167,plain,
% 17.21/12.48 (~v193(constB87)),
% 17.21/12.48 inference(unit_resolution,[status(thm)],[35166, 35165, 34944])).
% 17.21/12.48 tff(35168,plain,
% 17.21/12.48 ($false),
% 17.21/12.48 inference(unit_resolution,[status(thm)],[35167, 34940])).
% 17.21/12.48 tff(35169,plain,(~(constB87 = VarCurr!0)), inference(lemma,lemma(discharge,[]))).
% 17.21/12.48 tff(35170,assumption,(constB179 = VarCurr!0), introduced(assumption)).
% 17.21/12.48 tff(35171,plain,
% 17.21/12.48 (v86(constB179) <=> v86(VarCurr!0)),
% 17.21/12.48 inference(monotonicity,[status(thm)],[35170])).
% 17.21/12.48 tff(35172,plain,
% 17.21/12.48 (v86(VarCurr!0) <=> v86(constB179)),
% 17.21/12.48 inference(symmetry,[status(thm)],[35171])).
% 17.21/12.48 tff(35173,plain,
% 17.21/12.48 ((~v86(VarCurr!0)) <=> (~v86(constB179))),
% 17.21/12.48 inference(monotonicity,[status(thm)],[35172])).
% 17.21/12.48 tff(35174,plain,
% 17.21/12.48 (~v86(constB179)),
% 17.21/12.48 inference(modus_ponens,[status(thm)],[20649, 35173])).
% 17.21/12.48 tff(35175,plain,
% 17.21/12.48 ((~![VarCurr: $i] : (v142(VarCurr) <=> (v143(VarCurr) | v144(VarCurr)))) | (v142(constB179) <=> (v143(constB179) | v144(constB179)))),
% 17.21/12.48 inference(quant_inst,[status(thm)],[])).
% 17.21/12.48 tff(35176,plain,
% 17.21/12.48 (v142(constB179) <=> (v143(constB179) | v144(constB179))),
% 17.21/12.48 inference(unit_resolution,[status(thm)],[35175, 378])).
% 17.21/12.48 tff(35177,plain,
% 17.21/12.48 (((~![VarCurr: $i] : (v143(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)))))) | (v143(constB179) <=> (~(v88(constB179, bitIndex2) | (~v88(constB179, bitIndex1)) | v88(constB179, bitIndex0))))) <=> ((~![VarCurr: $i] : (v143(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)))))) | (v143(constB179) <=> (~(v88(constB179, bitIndex2) | (~v88(constB179, bitIndex1)) | v88(constB179, bitIndex0)))))),
% 17.21/12.48 inference(rewrite,[status(thm)],[])).
% 17.21/12.48 tff(35178,plain,
% 17.21/12.48 ((v143(constB179) <=> (~(v88(constB179, bitIndex0) | v88(constB179, bitIndex2) | (~v88(constB179, bitIndex1))))) <=> (v143(constB179) <=> (~(v88(constB179, bitIndex2) | (~v88(constB179, bitIndex1)) | v88(constB179, bitIndex0))))),
% 17.21/12.48 inference(rewrite,[status(thm)],[])).
% 17.21/12.48 tff(35179,plain,
% 17.21/12.48 (((~![VarCurr: $i] : (v143(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)))))) | (v143(constB179) <=> (~(v88(constB179, bitIndex0) | v88(constB179, bitIndex2) | (~v88(constB179, bitIndex1)))))) <=> ((~![VarCurr: $i] : (v143(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)))))) | (v143(constB179) <=> (~(v88(constB179, bitIndex2) | (~v88(constB179, bitIndex1)) | v88(constB179, bitIndex0)))))),
% 17.21/12.48 inference(monotonicity,[status(thm)],[35178])).
% 17.21/12.48 tff(35180,plain,
% 17.21/12.48 (((~![VarCurr: $i] : (v143(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)))))) | (v143(constB179) <=> (~(v88(constB179, bitIndex0) | v88(constB179, bitIndex2) | (~v88(constB179, bitIndex1)))))) <=> ((~![VarCurr: $i] : (v143(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)))))) | (v143(constB179) <=> (~(v88(constB179, bitIndex2) | (~v88(constB179, bitIndex1)) | v88(constB179, bitIndex0)))))),
% 17.21/12.48 inference(transitivity,[status(thm)],[35179, 35177])).
% 17.21/12.48 tff(35181,plain,
% 17.21/12.48 ((~![VarCurr: $i] : (v143(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)))))) | (v143(constB179) <=> (~(v88(constB179, bitIndex0) | v88(constB179, bitIndex2) | (~v88(constB179, bitIndex1)))))),
% 17.21/12.48 inference(quant_inst,[status(thm)],[])).
% 17.21/12.48 tff(35182,plain,
% 17.21/12.48 ((~![VarCurr: $i] : (v143(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)))))) | (v143(constB179) <=> (~(v88(constB179, bitIndex2) | (~v88(constB179, bitIndex1)) | v88(constB179, bitIndex0))))),
% 17.21/12.48 inference(modus_ponens,[status(thm)],[35181, 35180])).
% 17.21/12.48 tff(35183,plain,
% 17.21/12.48 (v143(constB179) <=> (~(v88(constB179, bitIndex2) | (~v88(constB179, bitIndex1)) | v88(constB179, bitIndex0)))),
% 17.21/12.48 inference(unit_resolution,[status(thm)],[35182, 20665])).
% 17.21/12.48 tff(35184,plain,
% 17.21/12.48 (((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | ((~less_3(bitIndex2)) | (v88(constB179, bitIndex2) <=> v90(constB179, bitIndex2)))) <=> ((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | (~less_3(bitIndex2)) | (v88(constB179, bitIndex2) <=> v90(constB179, bitIndex2)))),
% 17.21/12.48 inference(rewrite,[status(thm)],[])).
% 17.21/12.48 tff(35185,plain,
% 17.21/12.48 ((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | ((~less_3(bitIndex2)) | (v88(constB179, bitIndex2) <=> v90(constB179, bitIndex2)))),
% 17.21/12.48 inference(quant_inst,[status(thm)],[])).
% 17.21/12.48 tff(35186,plain,
% 17.21/12.48 ((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | (~less_3(bitIndex2)) | (v88(constB179, bitIndex2) <=> v90(constB179, bitIndex2))),
% 17.21/12.48 inference(modus_ponens,[status(thm)],[35185, 35184])).
% 17.21/12.48 tff(35187,plain,
% 17.21/12.48 (v88(constB179, bitIndex2) <=> v90(constB179, bitIndex2)),
% 17.21/12.48 inference(unit_resolution,[status(thm)],[35186, 413, 410])).
% 17.21/12.48 tff(35188,plain,
% 17.21/12.48 ((~(v88(constB179, bitIndex2) <=> v90(constB179, bitIndex2))) | (~v88(constB179, bitIndex2)) | v90(constB179, bitIndex2)),
% 17.21/12.48 inference(tautology,[status(thm)],[])).
% 17.21/12.48 tff(35189,plain,
% 17.21/12.48 (~v88(constB179, bitIndex2)),
% 17.21/12.48 inference(unit_resolution,[status(thm)],[35188, 25799, 35187])).
% 17.21/12.48 tff(35190,plain,
% 17.21/12.48 (((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | ((~less_3(bitIndex0)) | (v88(constB179, bitIndex0) <=> v90(constB179, bitIndex0)))) <=> ((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | (~less_3(bitIndex0)) | (v88(constB179, bitIndex0) <=> v90(constB179, bitIndex0)))),
% 17.21/12.48 inference(rewrite,[status(thm)],[])).
% 17.21/12.48 tff(35191,plain,
% 17.21/12.48 ((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | ((~less_3(bitIndex0)) | (v88(constB179, bitIndex0) <=> v90(constB179, bitIndex0)))),
% 17.21/12.48 inference(quant_inst,[status(thm)],[])).
% 17.21/12.48 tff(35192,plain,
% 17.21/12.48 ((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | (~less_3(bitIndex0)) | (v88(constB179, bitIndex0) <=> v90(constB179, bitIndex0))),
% 17.21/12.48 inference(modus_ponens,[status(thm)],[35191, 35190])).
% 17.21/12.48 tff(35193,plain,
% 17.21/12.48 (v88(constB179, bitIndex0) <=> v90(constB179, bitIndex0)),
% 17.21/12.48 inference(unit_resolution,[status(thm)],[35192, 5004, 410])).
% 17.21/12.48 tff(35194,plain,
% 17.21/12.48 ((~(v88(constB179, bitIndex0) <=> v90(constB179, bitIndex0))) | (~v88(constB179, bitIndex0)) | v90(constB179, bitIndex0)),
% 17.21/12.48 inference(tautology,[status(thm)],[])).
% 17.21/12.48 tff(35195,plain,
% 17.21/12.48 (~v88(constB179, bitIndex0)),
% 17.21/12.48 inference(unit_resolution,[status(thm)],[35194, 25830, 35193])).
% 17.21/12.48 tff(35196,plain,
% 17.21/12.48 (((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | ((~less_3(bitIndex1)) | (v88(constB179, bitIndex1) <=> v90(constB179, bitIndex1)))) <=> ((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | (~less_3(bitIndex1)) | (v88(constB179, bitIndex1) <=> v90(constB179, bitIndex1)))),
% 17.21/12.49 inference(rewrite,[status(thm)],[])).
% 17.21/12.49 tff(35197,plain,
% 17.21/12.49 ((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | ((~less_3(bitIndex1)) | (v88(constB179, bitIndex1) <=> v90(constB179, bitIndex1)))),
% 17.21/12.49 inference(quant_inst,[status(thm)],[])).
% 17.21/12.49 tff(35198,plain,
% 17.21/12.49 ((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | (~less_3(bitIndex1)) | (v88(constB179, bitIndex1) <=> v90(constB179, bitIndex1))),
% 17.21/12.49 inference(modus_ponens,[status(thm)],[35197, 35196])).
% 17.21/12.49 tff(35199,plain,
% 17.21/12.49 (v88(constB179, bitIndex1) <=> v90(constB179, bitIndex1)),
% 17.21/12.49 inference(unit_resolution,[status(thm)],[35198, 5017, 410])).
% 17.21/12.49 tff(35200,plain,
% 17.21/12.49 ((~(v88(constB179, bitIndex1) <=> v90(constB179, bitIndex1))) | v88(constB179, bitIndex1) | (~v90(constB179, bitIndex1))),
% 17.21/12.49 inference(tautology,[status(thm)],[])).
% 17.21/12.49 tff(35201,plain,
% 17.21/12.49 (v88(constB179, bitIndex1)),
% 17.21/12.49 inference(unit_resolution,[status(thm)],[35200, 25861, 35199])).
% 17.21/12.49 tff(35202,plain,
% 17.21/12.49 ((~(v88(constB179, bitIndex2) | (~v88(constB179, bitIndex1)) | v88(constB179, bitIndex0))) | v88(constB179, bitIndex2) | (~v88(constB179, bitIndex1)) | v88(constB179, bitIndex0)),
% 17.21/12.49 inference(tautology,[status(thm)],[])).
% 17.21/12.49 tff(35203,plain,
% 17.21/12.49 (~(v88(constB179, bitIndex2) | (~v88(constB179, bitIndex1)) | v88(constB179, bitIndex0))),
% 17.21/12.49 inference(unit_resolution,[status(thm)],[35202, 35201, 35195, 35189])).
% 17.21/12.49 tff(35204,plain,
% 17.21/12.49 ((~(v143(constB179) <=> (~(v88(constB179, bitIndex2) | (~v88(constB179, bitIndex1)) | v88(constB179, bitIndex0))))) | v143(constB179) | (v88(constB179, bitIndex2) | (~v88(constB179, bitIndex1)) | v88(constB179, bitIndex0))),
% 17.21/12.49 inference(tautology,[status(thm)],[])).
% 17.21/12.49 tff(35205,plain,
% 17.21/12.49 (v143(constB179)),
% 17.21/12.49 inference(unit_resolution,[status(thm)],[35204, 35203, 35183])).
% 17.21/12.49 tff(35206,plain,
% 17.21/12.49 ((v143(constB179) | v144(constB179)) | (~v143(constB179))),
% 17.21/12.49 inference(tautology,[status(thm)],[])).
% 17.21/12.49 tff(35207,plain,
% 17.21/12.49 (v143(constB179) | v144(constB179)),
% 17.21/12.49 inference(unit_resolution,[status(thm)],[35206, 35205])).
% 17.21/12.49 tff(35208,plain,
% 17.21/12.49 ((~(v142(constB179) <=> (v143(constB179) | v144(constB179)))) | v142(constB179) | (~(v143(constB179) | v144(constB179)))),
% 17.21/12.49 inference(tautology,[status(thm)],[])).
% 17.21/12.49 tff(35209,plain,
% 17.21/12.49 (v142(constB179)),
% 17.21/12.49 inference(unit_resolution,[status(thm)],[35208, 35207, 35176])).
% 17.21/12.49 tff(35210,plain,
% 17.21/12.49 (((~![VarCurr: $i] : (v148(VarCurr) | (~v142(VarCurr)))) | (v148(constB179) | (~v142(constB179)))) <=> ((~![VarCurr: $i] : (v148(VarCurr) | (~v142(VarCurr)))) | v148(constB179) | (~v142(constB179)))),
% 17.21/12.49 inference(rewrite,[status(thm)],[])).
% 17.21/12.49 tff(35211,plain,
% 17.21/12.49 ((~![VarCurr: $i] : (v148(VarCurr) | (~v142(VarCurr)))) | (v148(constB179) | (~v142(constB179)))),
% 17.21/12.49 inference(quant_inst,[status(thm)],[])).
% 17.21/12.49 tff(35212,plain,
% 17.21/12.49 ((~![VarCurr: $i] : (v148(VarCurr) | (~v142(VarCurr)))) | v148(constB179) | (~v142(constB179))),
% 17.21/12.49 inference(modus_ponens,[status(thm)],[35211, 35210])).
% 17.21/12.49 tff(35213,plain,
% 17.21/12.49 (v148(constB179) | (~v142(constB179))),
% 17.21/12.49 inference(unit_resolution,[status(thm)],[35212, 23525])).
% 17.21/12.49 tff(35214,plain,
% 17.21/12.49 (v148(constB179)),
% 17.21/12.49 inference(unit_resolution,[status(thm)],[35213, 35209])).
% 17.21/12.49 tff(35215,plain,
% 17.21/12.49 ((~![VarCurr: $i] : (v135(VarCurr) <=> (v136(VarCurr) | v145(VarCurr)))) | (v135(constB179) <=> (v136(constB179) | v145(constB179)))),
% 17.21/12.49 inference(quant_inst,[status(thm)],[])).
% 17.21/12.49 tff(35216,plain,
% 17.21/12.49 (v135(constB179) <=> (v136(constB179) | v145(constB179))),
% 17.21/12.49 inference(unit_resolution,[status(thm)],[35215, 23537])).
% 17.21/12.49 tff(35217,plain,
% 17.21/12.49 ((~![VarCurr: $i] : (v136(VarCurr) <=> (v137(VarCurr) | v142(VarCurr)))) | (v136(constB179) <=> (v137(constB179) | v142(constB179)))),
% 17.21/12.49 inference(quant_inst,[status(thm)],[])).
% 17.21/12.49 tff(35218,plain,
% 17.21/12.49 (v136(constB179) <=> (v137(constB179) | v142(constB179))),
% 17.21/12.49 inference(unit_resolution,[status(thm)],[35217, 23546])).
% 17.21/12.49 tff(35219,plain,
% 17.21/12.49 ((v137(constB179) | v142(constB179)) | (~v142(constB179))),
% 17.21/12.49 inference(tautology,[status(thm)],[])).
% 17.21/12.49 tff(35220,plain,
% 17.21/12.49 (v137(constB179) | v142(constB179)),
% 17.21/12.49 inference(unit_resolution,[status(thm)],[35219, 35209])).
% 17.21/12.49 tff(35221,plain,
% 17.21/12.49 ((~(v136(constB179) <=> (v137(constB179) | v142(constB179)))) | v136(constB179) | (~(v137(constB179) | v142(constB179)))),
% 17.21/12.49 inference(tautology,[status(thm)],[])).
% 17.21/12.49 tff(35222,plain,
% 17.21/12.49 (v136(constB179)),
% 17.21/12.49 inference(unit_resolution,[status(thm)],[35221, 35220, 35218])).
% 17.21/12.49 tff(35223,plain,
% 17.21/12.49 ((v136(constB179) | v145(constB179)) | (~v136(constB179))),
% 17.21/12.49 inference(tautology,[status(thm)],[])).
% 17.21/12.49 tff(35224,plain,
% 17.21/12.49 (v136(constB179) | v145(constB179)),
% 17.21/12.49 inference(unit_resolution,[status(thm)],[35223, 35222])).
% 17.21/12.49 tff(35225,plain,
% 17.21/12.49 ((~(v135(constB179) <=> (v136(constB179) | v145(constB179)))) | v135(constB179) | (~(v136(constB179) | v145(constB179)))),
% 17.21/12.49 inference(tautology,[status(thm)],[])).
% 17.21/12.49 tff(35226,plain,
% 17.21/12.49 (v135(constB179)),
% 17.21/12.49 inference(unit_resolution,[status(thm)],[35225, 35224, 35216])).
% 17.21/12.49 tff(35227,plain,
% 17.21/12.49 (((~![VarNext: $i] : ((~v135(VarNext)) | (v86(VarNext) <=> v148(VarNext)))) | ((~v135(constB179)) | (v86(constB179) <=> v148(constB179)))) <=> ((~![VarNext: $i] : ((~v135(VarNext)) | (v86(VarNext) <=> v148(VarNext)))) | (~v135(constB179)) | (v86(constB179) <=> v148(constB179)))),
% 17.21/12.49 inference(rewrite,[status(thm)],[])).
% 17.21/12.49 tff(35228,plain,
% 17.21/12.49 ((~![VarNext: $i] : ((~v135(VarNext)) | (v86(VarNext) <=> v148(VarNext)))) | ((~v135(constB179)) | (v86(constB179) <=> v148(constB179)))),
% 17.21/12.49 inference(quant_inst,[status(thm)],[])).
% 17.21/12.49 tff(35229,plain,
% 17.21/12.49 ((~![VarNext: $i] : ((~v135(VarNext)) | (v86(VarNext) <=> v148(VarNext)))) | (~v135(constB179)) | (v86(constB179) <=> v148(constB179))),
% 17.21/12.49 inference(modus_ponens,[status(thm)],[35228, 35227])).
% 17.21/12.49 tff(35230,plain,
% 17.21/12.49 ((~v135(constB179)) | (v86(constB179) <=> v148(constB179))),
% 17.21/12.49 inference(unit_resolution,[status(thm)],[35229, 23566])).
% 17.21/12.49 tff(35231,plain,
% 17.21/12.49 (v86(constB179) <=> v148(constB179)),
% 17.21/12.49 inference(unit_resolution,[status(thm)],[35230, 35226])).
% 17.21/12.49 tff(35232,plain,
% 17.21/12.49 ((~(v86(constB179) <=> v148(constB179))) | v86(constB179) | (~v148(constB179))),
% 17.21/12.49 inference(tautology,[status(thm)],[])).
% 17.21/12.49 tff(35233,plain,
% 17.21/12.49 (v86(constB179)),
% 17.21/12.49 inference(unit_resolution,[status(thm)],[35232, 35231, 35214])).
% 17.21/12.49 tff(35234,plain,
% 17.21/12.49 ($false),
% 17.21/12.49 inference(unit_resolution,[status(thm)],[35233, 35174])).
% 17.21/12.49 tff(35235,plain,(~(constB179 = VarCurr!0)), inference(lemma,lemma(discharge,[]))).
% 17.21/12.49 tff(35236,assumption,(constB161 = VarCurr!0), introduced(assumption)).
% 17.21/12.49 tff(35237,plain,
% 17.21/12.49 (v193(constB161) <=> v193(VarCurr!0)),
% 17.21/12.49 inference(monotonicity,[status(thm)],[35236])).
% 17.21/12.49 tff(35238,plain,
% 17.21/12.49 (v193(VarCurr!0) <=> v193(constB161)),
% 17.21/12.49 inference(symmetry,[status(thm)],[35237])).
% 17.21/12.49 tff(35239,plain,
% 17.21/12.49 (v193(constB161)),
% 17.21/12.49 inference(modus_ponens,[status(thm)],[59, 35238])).
% 17.21/12.49 tff(35240,plain,
% 17.21/12.49 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v193(VarNext) <=> v191(VarCurr)))) | ((~nextState(constB160, constB161)) | (v193(constB161) <=> v191(constB160)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v193(VarNext) <=> v191(VarCurr)))) | (~nextState(constB160, constB161)) | (v193(constB161) <=> v191(constB160)))),
% 17.21/12.49 inference(rewrite,[status(thm)],[])).
% 17.21/12.49 tff(35241,plain,
% 17.21/12.49 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v193(VarNext) <=> v191(VarCurr)))) | ((~nextState(constB160, constB161)) | (v193(constB161) <=> v191(constB160)))),
% 17.21/12.49 inference(quant_inst,[status(thm)],[])).
% 17.21/12.49 tff(35242,plain,
% 17.21/12.49 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v193(VarNext) <=> v191(VarCurr)))) | (~nextState(constB160, constB161)) | (v193(constB161) <=> v191(constB160))),
% 17.21/12.49 inference(modus_ponens,[status(thm)],[35241, 35240])).
% 17.21/12.49 tff(35243,plain,
% 17.21/12.49 (v193(constB161) <=> v191(constB160)),
% 17.21/12.49 inference(unit_resolution,[status(thm)],[35242, 21050, 70])).
% 17.21/12.49 tff(35244,plain,
% 17.21/12.49 ((~![VarCurr: $i] : (v191(VarCurr) <=> (v194(VarCurr) | v198(VarCurr)))) | (v191(constB160) <=> (v194(constB160) | v198(constB160)))),
% 17.21/12.49 inference(quant_inst,[status(thm)],[])).
% 17.21/12.49 tff(35245,plain,
% 17.21/12.49 (v191(constB160) <=> (v194(constB160) | v198(constB160))),
% 17.21/12.49 inference(unit_resolution,[status(thm)],[35244, 84])).
% 17.21/12.49 tff(35246,plain,
% 17.21/12.49 ((~![VarCurr: $i] : (v198(VarCurr) <=> (~((~v199(VarCurr)) | (~v200(VarCurr)))))) | (v198(constB160) <=> (~((~v199(constB160)) | (~v200(constB160)))))),
% 17.21/12.49 inference(quant_inst,[status(thm)],[])).
% 17.21/12.49 tff(35247,plain,
% 17.21/12.49 (v198(constB160) <=> (~((~v199(constB160)) | (~v200(constB160))))),
% 17.21/12.49 inference(unit_resolution,[status(thm)],[35246, 96])).
% 17.21/12.49 tff(35248,plain,
% 17.21/12.49 ((~![VarCurr: $i] : (v200(VarCurr) <=> (~((~v197(VarCurr)) | (~v201(VarCurr)))))) | (v200(constB160) <=> (~((~v197(constB160)) | (~v201(constB160)))))),
% 17.21/12.49 inference(quant_inst,[status(thm)],[])).
% 17.21/12.49 tff(35249,plain,
% 17.21/12.49 (v200(constB160) <=> (~((~v197(constB160)) | (~v201(constB160))))),
% 17.21/12.49 inference(unit_resolution,[status(thm)],[35248, 108])).
% 17.21/12.49 tff(35250,plain,
% 17.21/12.49 ((~![VarCurr: $i] : (v197(VarCurr) <=> (~((~v39(VarCurr)) | (~v9(VarCurr)))))) | (v197(constB160) <=> (~((~v39(constB160)) | (~v9(constB160)))))),
% 17.21/12.49 inference(quant_inst,[status(thm)],[])).
% 17.21/12.49 tff(35251,plain,
% 17.21/12.49 (v197(constB160) <=> (~((~v39(constB160)) | (~v9(constB160))))),
% 17.21/12.49 inference(unit_resolution,[status(thm)],[35250, 120])).
% 17.21/12.49 tff(35252,plain,
% 17.21/12.49 ((~![VarCurr: $i] : ((~v39(VarCurr)) <=> v1(VarCurr))) | ((~v39(constB160)) <=> v1(constB160))),
% 17.21/12.49 inference(quant_inst,[status(thm)],[])).
% 17.21/12.49 tff(35253,plain,
% 17.21/12.49 ((~v39(constB160)) <=> v1(constB160)),
% 17.21/12.49 inference(unit_resolution,[status(thm)],[35252, 129])).
% 17.21/12.49 tff(35254,plain,
% 17.21/12.49 ((~((~v39(constB160)) <=> v1(constB160))) | (~v39(constB160)) | (~v1(constB160))),
% 17.21/12.49 inference(tautology,[status(thm)],[])).
% 17.21/12.49 tff(35255,plain,
% 17.21/12.49 ((~((~v39(constB160)) <=> v1(constB160))) | (~v39(constB160))),
% 17.21/12.49 inference(unit_resolution,[status(thm)],[35254, 21112])).
% 17.21/12.49 tff(35256,plain,
% 17.21/12.49 (~v39(constB160)),
% 17.21/12.49 inference(unit_resolution,[status(thm)],[35255, 35253])).
% 17.21/12.49 tff(35257,plain,
% 17.21/12.49 (((~v39(constB160)) | (~v9(constB160))) | v39(constB160)),
% 17.21/12.49 inference(tautology,[status(thm)],[])).
% 17.21/12.49 tff(35258,plain,
% 17.21/12.49 ((~v39(constB160)) | (~v9(constB160))),
% 17.21/12.49 inference(unit_resolution,[status(thm)],[35257, 35256])).
% 17.21/12.49 tff(35259,plain,
% 17.21/12.49 ((~(v197(constB160) <=> (~((~v39(constB160)) | (~v9(constB160)))))) | (~v197(constB160)) | (~((~v39(constB160)) | (~v9(constB160))))),
% 17.21/12.49 inference(tautology,[status(thm)],[])).
% 17.21/12.49 tff(35260,plain,
% 17.21/12.49 ((~(v197(constB160) <=> (~((~v39(constB160)) | (~v9(constB160)))))) | (~v197(constB160))),
% 17.21/12.49 inference(unit_resolution,[status(thm)],[35259, 35258])).
% 17.21/12.49 tff(35261,plain,
% 17.21/12.49 (~v197(constB160)),
% 17.21/12.49 inference(unit_resolution,[status(thm)],[35260, 35251])).
% 17.21/12.49 tff(35262,plain,
% 17.21/12.49 (((~v197(constB160)) | (~v201(constB160))) | v197(constB160)),
% 17.21/12.49 inference(tautology,[status(thm)],[])).
% 17.21/12.49 tff(35263,plain,
% 17.21/12.49 ((~v197(constB160)) | (~v201(constB160))),
% 17.21/12.49 inference(unit_resolution,[status(thm)],[35262, 35261])).
% 17.21/12.49 tff(35264,plain,
% 17.21/12.49 ((~(v200(constB160) <=> (~((~v197(constB160)) | (~v201(constB160)))))) | (~v200(constB160)) | (~((~v197(constB160)) | (~v201(constB160))))),
% 17.21/12.49 inference(tautology,[status(thm)],[])).
% 17.21/12.49 tff(35265,plain,
% 17.21/12.49 ((~(v200(constB160) <=> (~((~v197(constB160)) | (~v201(constB160)))))) | (~v200(constB160))),
% 17.21/12.49 inference(unit_resolution,[status(thm)],[35264, 35263])).
% 17.21/12.49 tff(35266,plain,
% 17.21/12.49 (~v200(constB160)),
% 17.21/12.49 inference(unit_resolution,[status(thm)],[35265, 35249])).
% 17.21/12.49 tff(35267,plain,
% 17.21/12.49 (((~v199(constB160)) | (~v200(constB160))) | v200(constB160)),
% 17.21/12.49 inference(tautology,[status(thm)],[])).
% 17.21/12.49 tff(35268,plain,
% 17.21/12.49 ((~v199(constB160)) | (~v200(constB160))),
% 17.21/12.49 inference(unit_resolution,[status(thm)],[35267, 35266])).
% 17.21/12.49 tff(35269,plain,
% 17.21/12.49 ((~(v198(constB160) <=> (~((~v199(constB160)) | (~v200(constB160)))))) | (~v198(constB160)) | (~((~v199(constB160)) | (~v200(constB160))))),
% 17.21/12.49 inference(tautology,[status(thm)],[])).
% 17.21/12.49 tff(35270,plain,
% 17.21/12.49 (~v198(constB160)),
% 17.21/12.49 inference(unit_resolution,[status(thm)],[35269, 35268, 35247])).
% 17.21/12.49 tff(35271,plain,
% 17.21/12.49 (((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB160) <=> (~((~v157(constB160)) | (~v195(constB160)))))) <=> ((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB160) <=> (~((~v157(constB160)) | (~v195(constB160))))))),
% 17.21/12.49 inference(rewrite,[status(thm)],[])).
% 17.21/12.49 tff(35272,plain,
% 17.21/12.49 ((v194(constB160) <=> (~((~v195(constB160)) | (~v157(constB160))))) <=> (v194(constB160) <=> (~((~v157(constB160)) | (~v195(constB160)))))),
% 17.21/12.49 inference(rewrite,[status(thm)],[])).
% 17.21/12.49 tff(35273,plain,
% 17.21/12.49 (((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB160) <=> (~((~v195(constB160)) | (~v157(constB160)))))) <=> ((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB160) <=> (~((~v157(constB160)) | (~v195(constB160))))))),
% 17.21/12.49 inference(monotonicity,[status(thm)],[35272])).
% 17.21/12.49 tff(35274,plain,
% 17.21/12.49 (((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB160) <=> (~((~v195(constB160)) | (~v157(constB160)))))) <=> ((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB160) <=> (~((~v157(constB160)) | (~v195(constB160))))))),
% 17.21/12.49 inference(transitivity,[status(thm)],[35273, 35271])).
% 17.21/12.49 tff(35275,plain,
% 17.21/12.49 ((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB160) <=> (~((~v195(constB160)) | (~v157(constB160)))))),
% 17.21/12.49 inference(quant_inst,[status(thm)],[])).
% 17.21/12.49 tff(35276,plain,
% 17.21/12.49 ((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB160) <=> (~((~v157(constB160)) | (~v195(constB160)))))),
% 17.21/12.49 inference(modus_ponens,[status(thm)],[35275, 35274])).
% 17.21/12.49 tff(35277,plain,
% 17.21/12.49 (v194(constB160) <=> (~((~v157(constB160)) | (~v195(constB160))))),
% 17.21/12.49 inference(unit_resolution,[status(thm)],[35276, 161])).
% 17.21/12.49 tff(35278,plain,
% 17.21/12.49 ((~![VarNext: $i] : (v157(VarNext) <=> v193(VarNext))) | (v157(constB160) <=> v193(constB160))),
% 17.21/12.49 inference(quant_inst,[status(thm)],[])).
% 17.21/12.49 tff(35279,plain,
% 17.21/12.49 (v157(constB160) <=> v193(constB160)),
% 17.21/12.49 inference(unit_resolution,[status(thm)],[35278, 13])).
% 17.21/12.49 tff(35280,plain,
% 17.21/12.49 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v193(VarNext) <=> v191(VarCurr)))) | ((~nextState(constB159, constB160)) | (v193(constB160) <=> v191(constB159)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v193(VarNext) <=> v191(VarCurr)))) | (~nextState(constB159, constB160)) | (v193(constB160) <=> v191(constB159)))),
% 17.21/12.49 inference(rewrite,[status(thm)],[])).
% 17.21/12.49 tff(35281,plain,
% 17.21/12.49 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v193(VarNext) <=> v191(VarCurr)))) | ((~nextState(constB159, constB160)) | (v193(constB160) <=> v191(constB159)))),
% 17.21/12.49 inference(quant_inst,[status(thm)],[])).
% 17.21/12.49 tff(35282,plain,
% 17.21/12.49 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v193(VarNext) <=> v191(VarCurr)))) | (~nextState(constB159, constB160)) | (v193(constB160) <=> v191(constB159))),
% 17.21/12.49 inference(modus_ponens,[status(thm)],[35281, 35280])).
% 17.21/12.49 tff(35283,plain,
% 17.21/12.49 (v193(constB160) <=> v191(constB159)),
% 17.21/12.49 inference(unit_resolution,[status(thm)],[35282, 21082, 70])).
% 17.21/12.49 tff(35284,plain,
% 17.21/12.49 ((~![VarCurr: $i] : (v191(VarCurr) <=> (v194(VarCurr) | v198(VarCurr)))) | (v191(constB159) <=> (v194(constB159) | v198(constB159)))),
% 17.21/12.49 inference(quant_inst,[status(thm)],[])).
% 17.21/12.49 tff(35285,plain,
% 17.21/12.49 (v191(constB159) <=> (v194(constB159) | v198(constB159))),
% 17.21/12.49 inference(unit_resolution,[status(thm)],[35284, 84])).
% 17.21/12.49 tff(35286,plain,
% 17.21/12.49 (((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB159) <=> (~((~v157(constB159)) | (~v195(constB159)))))) <=> ((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB159) <=> (~((~v157(constB159)) | (~v195(constB159))))))),
% 17.21/12.49 inference(rewrite,[status(thm)],[])).
% 17.21/12.49 tff(35287,plain,
% 17.21/12.49 ((v194(constB159) <=> (~((~v195(constB159)) | (~v157(constB159))))) <=> (v194(constB159) <=> (~((~v157(constB159)) | (~v195(constB159)))))),
% 17.21/12.49 inference(rewrite,[status(thm)],[])).
% 17.21/12.49 tff(35288,plain,
% 17.21/12.49 (((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB159) <=> (~((~v195(constB159)) | (~v157(constB159)))))) <=> ((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB159) <=> (~((~v157(constB159)) | (~v195(constB159))))))),
% 17.21/12.49 inference(monotonicity,[status(thm)],[35287])).
% 17.21/12.49 tff(35289,plain,
% 17.21/12.49 (((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB159) <=> (~((~v195(constB159)) | (~v157(constB159)))))) <=> ((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB159) <=> (~((~v157(constB159)) | (~v195(constB159))))))),
% 17.21/12.49 inference(transitivity,[status(thm)],[35288, 35286])).
% 17.21/12.49 tff(35290,plain,
% 17.21/12.49 ((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB159) <=> (~((~v195(constB159)) | (~v157(constB159)))))),
% 17.21/12.49 inference(quant_inst,[status(thm)],[])).
% 17.21/12.49 tff(35291,plain,
% 17.21/12.49 ((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB159) <=> (~((~v157(constB159)) | (~v195(constB159)))))),
% 17.21/12.49 inference(modus_ponens,[status(thm)],[35290, 35289])).
% 17.21/12.49 tff(35292,plain,
% 17.21/12.49 (v194(constB159) <=> (~((~v157(constB159)) | (~v195(constB159))))),
% 17.21/12.49 inference(unit_resolution,[status(thm)],[35291, 161])).
% 17.21/12.49 tff(35293,plain,
% 17.21/12.49 ((~![VarCurr: $i] : ((~v195(VarCurr)) <=> v196(VarCurr))) | ((~v195(constB159)) <=> v196(constB159))),
% 17.21/12.49 inference(quant_inst,[status(thm)],[])).
% 17.21/12.49 tff(35294,plain,
% 17.21/12.49 ((~v195(constB159)) <=> v196(constB159)),
% 17.21/12.49 inference(unit_resolution,[status(thm)],[35293, 193])).
% 17.21/12.49 tff(35295,plain,
% 17.21/12.49 ((~![VarCurr: $i] : (v196(VarCurr) <=> (v197(VarCurr) | v26(VarCurr)))) | (v196(constB159) <=> (v197(constB159) | v26(constB159)))),
% 17.21/12.49 inference(quant_inst,[status(thm)],[])).
% 17.21/12.49 tff(35296,plain,
% 17.21/12.49 (v196(constB159) <=> (v197(constB159) | v26(constB159))),
% 17.21/12.49 inference(unit_resolution,[status(thm)],[35295, 202])).
% 17.21/12.49 tff(35297,plain,
% 17.21/12.49 ((~![VarCurr: $i] : (v197(VarCurr) <=> (~((~v39(VarCurr)) | (~v9(VarCurr)))))) | (v197(constB159) <=> (~((~v39(constB159)) | (~v9(constB159)))))),
% 17.21/12.49 inference(quant_inst,[status(thm)],[])).
% 17.21/12.49 tff(35298,plain,
% 17.21/12.49 (v197(constB159) <=> (~((~v39(constB159)) | (~v9(constB159))))),
% 17.21/12.49 inference(unit_resolution,[status(thm)],[35297, 120])).
% 17.21/12.49 tff(35299,plain,
% 17.21/12.49 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | ((~nextState(constB159, constB160)) | (v13(constB160) <=> v9(constB159)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | (~nextState(constB159, constB160)) | (v13(constB160) <=> v9(constB159)))),
% 17.21/12.49 inference(rewrite,[status(thm)],[])).
% 17.21/12.49 tff(35300,plain,
% 17.21/12.49 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | ((~nextState(constB159, constB160)) | (v13(constB160) <=> v9(constB159)))),
% 17.21/12.49 inference(quant_inst,[status(thm)],[])).
% 17.21/12.49 tff(35301,plain,
% 17.21/12.49 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | (~nextState(constB159, constB160)) | (v13(constB160) <=> v9(constB159))),
% 17.21/12.49 inference(modus_ponens,[status(thm)],[35300, 35299])).
% 17.21/12.49 tff(35302,plain,
% 17.21/12.49 (v13(constB160) <=> v9(constB159)),
% 17.21/12.49 inference(unit_resolution,[status(thm)],[35301, 21082, 216])).
% 17.21/12.49 tff(35303,plain,
% 17.21/12.49 ((~![VarNext: $i] : (v6(VarNext) <=> v13(VarNext))) | (v6(constB160) <=> v13(constB160))),
% 17.21/12.49 inference(quant_inst,[status(thm)],[])).
% 17.21/12.49 tff(35304,plain,
% 17.21/12.49 (v6(constB160) <=> v13(constB160)),
% 17.21/12.49 inference(unit_resolution,[status(thm)],[35303, 230])).
% 17.21/12.49 tff(35305,plain,
% 17.21/12.49 ((~![VarCurr: $i] : ((~v21(VarCurr)) <=> v6(VarCurr))) | ((~v21(constB160)) <=> v6(constB160))),
% 17.21/12.49 inference(quant_inst,[status(thm)],[])).
% 17.21/12.49 tff(35306,plain,
% 17.21/12.49 ((~v21(constB160)) <=> v6(constB160)),
% 17.21/12.49 inference(unit_resolution,[status(thm)],[35305, 239])).
% 17.21/12.49 tff(35307,plain,
% 17.21/12.49 ((~![VarCurr: $i] : (v19(VarCurr) <=> (v20(VarCurr) | v21(VarCurr)))) | (v19(constB160) <=> (v20(constB160) | v21(constB160)))),
% 17.21/12.49 inference(quant_inst,[status(thm)],[])).
% 17.21/12.49 tff(35308,plain,
% 17.21/12.49 (v19(constB160) <=> (v20(constB160) | v21(constB160))),
% 17.21/12.50 inference(unit_resolution,[status(thm)],[35307, 248])).
% 17.21/12.50 tff(35309,plain,
% 17.21/12.50 ((~![VarCurr: $i] : (v18(VarCurr) <=> (~((~v19(VarCurr)) | (~v22(VarCurr)))))) | (v18(constB160) <=> (~((~v19(constB160)) | (~v22(constB160)))))),
% 17.21/12.50 inference(quant_inst,[status(thm)],[])).
% 17.21/12.50 tff(35310,plain,
% 17.21/12.50 (v18(constB160) <=> (~((~v19(constB160)) | (~v22(constB160))))),
% 17.21/12.50 inference(unit_resolution,[status(thm)],[35309, 260])).
% 17.21/12.50 tff(35311,plain,
% 17.21/12.50 ((~![VarCurr: $i] : ((~v4(VarCurr)) <=> v18(VarCurr))) | ((~v4(constB160)) <=> v18(constB160))),
% 17.21/12.50 inference(quant_inst,[status(thm)],[])).
% 17.21/12.50 tff(35312,plain,
% 17.21/12.50 ((~v4(constB160)) <=> v18(constB160)),
% 17.21/12.50 inference(unit_resolution,[status(thm)],[35311, 269])).
% 17.21/12.50 tff(35313,plain,
% 17.21/12.50 ((~![VarCurr: $i] : v4(VarCurr)) | v4(constB160)),
% 17.21/12.50 inference(quant_inst,[status(thm)],[])).
% 17.21/12.50 tff(35314,plain,
% 17.21/12.50 (v4(constB160)),
% 17.21/12.50 inference(unit_resolution,[status(thm)],[35313, 278])).
% 17.21/12.50 tff(35315,plain,
% 17.21/12.50 ((~((~v4(constB160)) <=> v18(constB160))) | (~v4(constB160)) | (~v18(constB160))),
% 17.21/12.50 inference(tautology,[status(thm)],[])).
% 17.21/12.50 tff(35316,plain,
% 17.21/12.50 (~v18(constB160)),
% 17.21/12.50 inference(unit_resolution,[status(thm)],[35315, 35314, 35312])).
% 17.21/12.50 tff(35317,plain,
% 17.21/12.50 ((~(v18(constB160) <=> (~((~v19(constB160)) | (~v22(constB160)))))) | v18(constB160) | ((~v19(constB160)) | (~v22(constB160)))),
% 17.21/12.50 inference(tautology,[status(thm)],[])).
% 17.21/12.50 tff(35318,plain,
% 17.21/12.50 ((~v19(constB160)) | (~v22(constB160))),
% 17.21/12.50 inference(unit_resolution,[status(thm)],[35317, 35316, 35310])).
% 17.21/12.50 tff(35319,plain,
% 17.21/12.50 ((~![VarCurr: $i] : (v22(VarCurr) <=> (v1(VarCurr) | v6(VarCurr)))) | (v22(constB160) <=> (v1(constB160) | v6(constB160)))),
% 17.21/12.50 inference(quant_inst,[status(thm)],[])).
% 17.21/12.50 tff(35320,plain,
% 17.21/12.50 (v22(constB160) <=> (v1(constB160) | v6(constB160))),
% 17.21/12.50 inference(unit_resolution,[status(thm)],[35319, 291])).
% 17.21/12.50 tff(35321,plain,
% 17.21/12.50 ((v1(constB160) | v6(constB160)) | (~v1(constB160))),
% 17.21/12.50 inference(tautology,[status(thm)],[])).
% 17.21/12.50 tff(35322,plain,
% 17.21/12.50 (v1(constB160) | v6(constB160)),
% 17.21/12.50 inference(unit_resolution,[status(thm)],[35321, 21112])).
% 17.21/12.50 tff(35323,plain,
% 17.21/12.50 ((~(v22(constB160) <=> (v1(constB160) | v6(constB160)))) | v22(constB160) | (~(v1(constB160) | v6(constB160)))),
% 17.21/12.50 inference(tautology,[status(thm)],[])).
% 17.21/12.50 tff(35324,plain,
% 17.21/12.50 ((~(v22(constB160) <=> (v1(constB160) | v6(constB160)))) | v22(constB160)),
% 17.21/12.50 inference(unit_resolution,[status(thm)],[35323, 35322])).
% 17.21/12.50 tff(35325,plain,
% 17.21/12.50 (v22(constB160)),
% 17.21/12.50 inference(unit_resolution,[status(thm)],[35324, 35320])).
% 17.21/12.50 tff(35326,plain,
% 17.21/12.50 ((~((~v19(constB160)) | (~v22(constB160)))) | (~v19(constB160)) | (~v22(constB160))),
% 17.21/12.50 inference(tautology,[status(thm)],[])).
% 17.21/12.50 tff(35327,plain,
% 17.21/12.50 ((~((~v19(constB160)) | (~v22(constB160)))) | (~v19(constB160))),
% 17.21/12.50 inference(unit_resolution,[status(thm)],[35326, 35325])).
% 17.21/12.50 tff(35328,plain,
% 17.21/12.50 (~v19(constB160)),
% 17.21/12.50 inference(unit_resolution,[status(thm)],[35327, 35318])).
% 17.21/12.50 tff(35329,plain,
% 17.21/12.50 ((~(v19(constB160) <=> (v20(constB160) | v21(constB160)))) | v19(constB160) | (~(v20(constB160) | v21(constB160)))),
% 17.21/12.50 inference(tautology,[status(thm)],[])).
% 17.21/12.50 tff(35330,plain,
% 17.21/12.50 (~(v20(constB160) | v21(constB160))),
% 17.21/12.50 inference(unit_resolution,[status(thm)],[35329, 35328, 35308])).
% 17.21/12.50 tff(35331,plain,
% 17.21/12.50 ((v20(constB160) | v21(constB160)) | (~v21(constB160))),
% 17.21/12.50 inference(tautology,[status(thm)],[])).
% 17.21/12.50 tff(35332,plain,
% 17.21/12.50 (~v21(constB160)),
% 17.21/12.50 inference(unit_resolution,[status(thm)],[35331, 35330])).
% 17.21/12.50 tff(35333,plain,
% 17.21/12.50 ((~((~v21(constB160)) <=> v6(constB160))) | v21(constB160) | v6(constB160)),
% 17.21/12.50 inference(tautology,[status(thm)],[])).
% 17.21/12.50 tff(35334,plain,
% 17.21/12.50 (v6(constB160)),
% 17.21/12.50 inference(unit_resolution,[status(thm)],[35333, 35332, 35306])).
% 17.21/12.50 tff(35335,plain,
% 17.21/12.50 ((~(v6(constB160) <=> v13(constB160))) | (~v6(constB160)) | v13(constB160)),
% 17.21/12.50 inference(tautology,[status(thm)],[])).
% 17.21/12.50 tff(35336,plain,
% 17.21/12.50 (v13(constB160)),
% 17.21/12.50 inference(unit_resolution,[status(thm)],[35335, 35334, 35304])).
% 17.21/12.50 tff(35337,plain,
% 17.21/12.50 ((~(v13(constB160) <=> v9(constB159))) | (~v13(constB160)) | v9(constB159)),
% 17.21/12.50 inference(tautology,[status(thm)],[])).
% 17.21/12.50 tff(35338,plain,
% 17.21/12.50 (v9(constB159)),
% 17.21/12.50 inference(unit_resolution,[status(thm)],[35337, 35336, 35302])).
% 17.21/12.50 tff(35339,plain,
% 17.21/12.50 ((~![VarCurr: $i] : ((~v39(VarCurr)) <=> v1(VarCurr))) | ((~v39(constB159)) <=> v1(constB159))),
% 17.21/12.50 inference(quant_inst,[status(thm)],[])).
% 17.21/12.50 tff(35340,plain,
% 17.21/12.50 ((~v39(constB159)) <=> v1(constB159)),
% 17.21/12.50 inference(unit_resolution,[status(thm)],[35339, 129])).
% 17.21/12.50 tff(35341,plain,
% 17.21/12.50 ((~((~v39(constB159)) <=> v1(constB159))) | v39(constB159) | v1(constB159)),
% 17.21/12.50 inference(tautology,[status(thm)],[])).
% 17.21/12.50 tff(35342,plain,
% 17.21/12.50 ((~((~v39(constB159)) <=> v1(constB159))) | v39(constB159)),
% 17.21/12.50 inference(unit_resolution,[status(thm)],[35341, 21104])).
% 17.21/12.50 tff(35343,plain,
% 17.21/12.50 (v39(constB159)),
% 17.21/12.50 inference(unit_resolution,[status(thm)],[35342, 35340])).
% 17.21/12.50 tff(35344,plain,
% 17.21/12.50 ((~((~v39(constB159)) | (~v9(constB159)))) | (~v39(constB159)) | (~v9(constB159))),
% 17.21/12.50 inference(tautology,[status(thm)],[])).
% 17.21/12.50 tff(35345,plain,
% 17.21/12.50 ((~((~v39(constB159)) | (~v9(constB159)))) | (~v9(constB159))),
% 17.21/12.50 inference(unit_resolution,[status(thm)],[35344, 35343])).
% 17.21/12.50 tff(35346,plain,
% 17.21/12.50 (~((~v39(constB159)) | (~v9(constB159)))),
% 17.21/12.50 inference(unit_resolution,[status(thm)],[35345, 35338])).
% 17.21/12.50 tff(35347,plain,
% 17.21/12.50 ((~(v197(constB159) <=> (~((~v39(constB159)) | (~v9(constB159)))))) | v197(constB159) | ((~v39(constB159)) | (~v9(constB159)))),
% 17.21/12.50 inference(tautology,[status(thm)],[])).
% 17.21/12.50 tff(35348,plain,
% 17.21/12.50 (v197(constB159)),
% 17.21/12.50 inference(unit_resolution,[status(thm)],[35347, 35346, 35298])).
% 17.21/12.50 tff(35349,plain,
% 17.21/12.50 ((v197(constB159) | v26(constB159)) | (~v197(constB159))),
% 17.21/12.50 inference(tautology,[status(thm)],[])).
% 17.21/12.50 tff(35350,plain,
% 17.21/12.50 (v197(constB159) | v26(constB159)),
% 17.21/12.50 inference(unit_resolution,[status(thm)],[35349, 35348])).
% 17.21/12.50 tff(35351,plain,
% 17.21/12.50 ((~(v196(constB159) <=> (v197(constB159) | v26(constB159)))) | v196(constB159) | (~(v197(constB159) | v26(constB159)))),
% 17.21/12.50 inference(tautology,[status(thm)],[])).
% 17.21/12.50 tff(35352,plain,
% 17.21/12.50 (v196(constB159)),
% 17.21/12.50 inference(unit_resolution,[status(thm)],[35351, 35350, 35296])).
% 17.21/12.50 tff(35353,plain,
% 17.21/12.50 ((~((~v195(constB159)) <=> v196(constB159))) | (~v195(constB159)) | (~v196(constB159))),
% 17.21/12.50 inference(tautology,[status(thm)],[])).
% 17.21/12.50 tff(35354,plain,
% 17.21/12.50 (~v195(constB159)),
% 17.21/12.50 inference(unit_resolution,[status(thm)],[35353, 35352, 35294])).
% 17.21/12.50 tff(35355,plain,
% 17.21/12.50 (((~v157(constB159)) | (~v195(constB159))) | v195(constB159)),
% 17.21/12.50 inference(tautology,[status(thm)],[])).
% 17.21/12.50 tff(35356,plain,
% 17.21/12.50 ((~v157(constB159)) | (~v195(constB159))),
% 17.21/12.50 inference(unit_resolution,[status(thm)],[35355, 35354])).
% 17.21/12.50 tff(35357,plain,
% 17.21/12.50 ((~(v194(constB159) <=> (~((~v157(constB159)) | (~v195(constB159)))))) | (~v194(constB159)) | (~((~v157(constB159)) | (~v195(constB159))))),
% 17.21/12.50 inference(tautology,[status(thm)],[])).
% 17.21/12.50 tff(35358,plain,
% 17.21/12.50 (~v194(constB159)),
% 17.21/12.50 inference(unit_resolution,[status(thm)],[35357, 35356, 35292])).
% 17.21/12.50 tff(35359,plain,
% 17.21/12.50 ((~![VarCurr: $i] : (v198(VarCurr) <=> (~((~v199(VarCurr)) | (~v200(VarCurr)))))) | (v198(constB159) <=> (~((~v199(constB159)) | (~v200(constB159)))))),
% 17.21/12.50 inference(quant_inst,[status(thm)],[])).
% 17.21/12.50 tff(35360,plain,
% 17.21/12.50 (v198(constB159) <=> (~((~v199(constB159)) | (~v200(constB159))))),
% 17.21/12.50 inference(unit_resolution,[status(thm)],[35359, 96])).
% 17.21/12.50 tff(35361,plain,
% 17.21/12.50 ((~![VarCurr: $i] : (v200(VarCurr) <=> (~((~v197(VarCurr)) | (~v201(VarCurr)))))) | (v200(constB159) <=> (~((~v197(constB159)) | (~v201(constB159)))))),
% 17.21/12.50 inference(quant_inst,[status(thm)],[])).
% 17.21/12.50 tff(35362,plain,
% 17.21/12.50 (v200(constB159) <=> (~((~v197(constB159)) | (~v201(constB159))))),
% 17.21/12.50 inference(unit_resolution,[status(thm)],[35361, 108])).
% 17.21/12.50 tff(35363,plain,
% 17.21/12.50 ((~![VarCurr: $i] : (v201(VarCurr) <=> (~((~v159(VarCurr)) | (~v161(VarCurr)))))) | (v201(constB159) <=> (~((~v159(constB159)) | (~v161(constB159)))))),
% 17.21/12.50 inference(quant_inst,[status(thm)],[])).
% 17.21/12.50 tff(35364,plain,
% 17.21/12.50 (v201(constB159) <=> (~((~v159(constB159)) | (~v161(constB159))))),
% 17.21/12.50 inference(unit_resolution,[status(thm)],[35363, 348])).
% 17.21/12.50 tff(35365,plain,
% 17.21/12.50 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v179(VarNext) <=> v180(VarNext)))) | ((~nextState(constB158, constB159)) | (v179(constB159) <=> v180(constB159)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v179(VarNext) <=> v180(VarNext)))) | (~nextState(constB158, constB159)) | (v179(constB159) <=> v180(constB159)))),
% 17.21/12.50 inference(rewrite,[status(thm)],[])).
% 17.21/12.50 tff(35366,plain,
% 17.21/12.50 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v179(VarNext) <=> v180(VarNext)))) | ((~nextState(constB158, constB159)) | (v179(constB159) <=> v180(constB159)))),
% 17.21/12.50 inference(quant_inst,[status(thm)],[])).
% 17.21/12.50 tff(35367,plain,
% 17.21/12.50 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v179(VarNext) <=> v180(VarNext)))) | (~nextState(constB158, constB159)) | (v179(constB159) <=> v180(constB159))),
% 17.21/12.50 inference(modus_ponens,[status(thm)],[35366, 35365])).
% 17.21/12.50 tff(35368,plain,
% 17.21/12.50 (v179(constB159) <=> v180(constB159)),
% 17.21/12.50 inference(unit_resolution,[status(thm)],[35367, 21145, 13536])).
% 17.21/12.50 tff(35369,plain,
% 17.21/12.50 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> (~((~v181(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB158, constB159)) | (v180(constB159) <=> (~((~v1(constB159)) | (~v181(constB159))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> (~((~v181(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB158, constB159)) | (v180(constB159) <=> (~((~v1(constB159)) | (~v181(constB159))))))),
% 17.21/12.50 inference(rewrite,[status(thm)],[])).
% 17.21/12.50 tff(35370,plain,
% 17.21/12.50 (((~nextState(constB158, constB159)) | (v180(constB159) <=> (~((~v181(constB159)) | (~v1(constB159)))))) <=> ((~nextState(constB158, constB159)) | (v180(constB159) <=> (~((~v1(constB159)) | (~v181(constB159))))))),
% 17.21/12.50 inference(rewrite,[status(thm)],[])).
% 17.21/12.50 tff(35371,plain,
% 17.21/12.50 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> (~((~v181(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB158, constB159)) | (v180(constB159) <=> (~((~v181(constB159)) | (~v1(constB159))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> (~((~v181(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB158, constB159)) | (v180(constB159) <=> (~((~v1(constB159)) | (~v181(constB159)))))))),
% 17.21/12.50 inference(monotonicity,[status(thm)],[35370])).
% 17.21/12.50 tff(35372,plain,
% 17.21/12.50 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> (~((~v181(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB158, constB159)) | (v180(constB159) <=> (~((~v181(constB159)) | (~v1(constB159))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> (~((~v181(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB158, constB159)) | (v180(constB159) <=> (~((~v1(constB159)) | (~v181(constB159))))))),
% 17.21/12.50 inference(transitivity,[status(thm)],[35371, 35369])).
% 17.21/12.50 tff(35373,plain,
% 17.21/12.50 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> (~((~v181(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB158, constB159)) | (v180(constB159) <=> (~((~v181(constB159)) | (~v1(constB159))))))),
% 17.21/12.50 inference(quant_inst,[status(thm)],[])).
% 17.21/12.50 tff(35374,plain,
% 17.21/12.50 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> (~((~v181(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB158, constB159)) | (v180(constB159) <=> (~((~v1(constB159)) | (~v181(constB159)))))),
% 17.21/12.50 inference(modus_ponens,[status(thm)],[35373, 35372])).
% 17.21/12.50 tff(35375,plain,
% 17.21/12.50 (v180(constB159) <=> (~((~v1(constB159)) | (~v181(constB159))))),
% 17.21/12.50 inference(unit_resolution,[status(thm)],[35374, 21145, 13556])).
% 17.21/12.50 tff(35376,plain,
% 17.21/12.50 (((~v1(constB159)) | (~v181(constB159))) | v1(constB159)),
% 17.21/12.50 inference(tautology,[status(thm)],[])).
% 17.21/12.50 tff(35377,plain,
% 17.21/12.50 ((~v1(constB159)) | (~v181(constB159))),
% 17.21/12.50 inference(unit_resolution,[status(thm)],[35376, 21104])).
% 17.21/12.50 tff(35378,plain,
% 17.21/12.50 ((~(v180(constB159) <=> (~((~v1(constB159)) | (~v181(constB159)))))) | (~v180(constB159)) | (~((~v1(constB159)) | (~v181(constB159))))),
% 17.21/12.50 inference(tautology,[status(thm)],[])).
% 17.21/12.50 tff(35379,plain,
% 17.21/12.50 ((~(v180(constB159) <=> (~((~v1(constB159)) | (~v181(constB159)))))) | (~v180(constB159))),
% 17.21/12.50 inference(unit_resolution,[status(thm)],[35378, 35377])).
% 17.21/12.50 tff(35380,plain,
% 17.21/12.50 (~v180(constB159)),
% 17.21/12.50 inference(unit_resolution,[status(thm)],[35379, 35375])).
% 17.21/12.50 tff(35381,plain,
% 17.21/12.50 ((~(v179(constB159) <=> v180(constB159))) | (~v179(constB159)) | v180(constB159)),
% 17.21/12.50 inference(tautology,[status(thm)],[])).
% 17.21/12.50 tff(35382,plain,
% 17.21/12.50 (~v179(constB159)),
% 17.21/12.50 inference(unit_resolution,[status(thm)],[35381, 35380, 35368])).
% 17.21/12.50 tff(35383,plain,
% 17.21/12.50 (((~![VarCurr: $i, VarNext: $i] : ((v159(VarNext) <=> v159(VarCurr)) | v179(VarNext) | (~nextState(VarCurr, VarNext)))) | ((~nextState(constB158, constB159)) | v179(constB159) | (v159(constB159) <=> v159(constB158)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((v159(VarNext) <=> v159(VarCurr)) | v179(VarNext) | (~nextState(VarCurr, VarNext)))) | (~nextState(constB158, constB159)) | v179(constB159) | (v159(constB159) <=> v159(constB158)))),
% 17.21/12.50 inference(rewrite,[status(thm)],[])).
% 17.21/12.50 tff(35384,plain,
% 17.21/12.50 (((v159(constB159) <=> v159(constB158)) | v179(constB159) | (~nextState(constB158, constB159))) <=> ((~nextState(constB158, constB159)) | v179(constB159) | (v159(constB159) <=> v159(constB158)))),
% 17.21/12.50 inference(rewrite,[status(thm)],[])).
% 17.21/12.50 tff(35385,plain,
% 17.21/12.50 (((~![VarCurr: $i, VarNext: $i] : ((v159(VarNext) <=> v159(VarCurr)) | v179(VarNext) | (~nextState(VarCurr, VarNext)))) | ((v159(constB159) <=> v159(constB158)) | v179(constB159) | (~nextState(constB158, constB159)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((v159(VarNext) <=> v159(VarCurr)) | v179(VarNext) | (~nextState(VarCurr, VarNext)))) | ((~nextState(constB158, constB159)) | v179(constB159) | (v159(constB159) <=> v159(constB158))))),
% 17.21/12.50 inference(monotonicity,[status(thm)],[35384])).
% 17.21/12.50 tff(35386,plain,
% 17.21/12.50 (((~![VarCurr: $i, VarNext: $i] : ((v159(VarNext) <=> v159(VarCurr)) | v179(VarNext) | (~nextState(VarCurr, VarNext)))) | ((v159(constB159) <=> v159(constB158)) | v179(constB159) | (~nextState(constB158, constB159)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((v159(VarNext) <=> v159(VarCurr)) | v179(VarNext) | (~nextState(VarCurr, VarNext)))) | (~nextState(constB158, constB159)) | v179(constB159) | (v159(constB159) <=> v159(constB158)))),
% 17.21/12.50 inference(transitivity,[status(thm)],[35385, 35383])).
% 17.21/12.50 tff(35387,plain,
% 17.21/12.50 ((~![VarCurr: $i, VarNext: $i] : ((v159(VarNext) <=> v159(VarCurr)) | v179(VarNext) | (~nextState(VarCurr, VarNext)))) | ((v159(constB159) <=> v159(constB158)) | v179(constB159) | (~nextState(constB158, constB159)))),
% 17.21/12.50 inference(quant_inst,[status(thm)],[])).
% 17.21/12.50 tff(35388,plain,
% 17.21/12.50 ((~![VarCurr: $i, VarNext: $i] : ((v159(VarNext) <=> v159(VarCurr)) | v179(VarNext) | (~nextState(VarCurr, VarNext)))) | (~nextState(constB158, constB159)) | v179(constB159) | (v159(constB159) <=> v159(constB158))),
% 17.21/12.50 inference(modus_ponens,[status(thm)],[35387, 35386])).
% 17.21/12.50 tff(35389,plain,
% 17.21/12.50 (v179(constB159) | (v159(constB159) <=> v159(constB158))),
% 17.21/12.50 inference(unit_resolution,[status(thm)],[35388, 21145, 13580])).
% 17.21/12.50 tff(35390,plain,
% 17.21/12.50 (v159(constB159) <=> v159(constB158)),
% 17.21/12.50 inference(unit_resolution,[status(thm)],[35389, 35382])).
% 17.21/12.50 tff(35391,plain,
% 17.21/12.50 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v179(VarNext) <=> v180(VarNext)))) | ((~nextState(constB157, constB158)) | (v179(constB158) <=> v180(constB158)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v179(VarNext) <=> v180(VarNext)))) | (~nextState(constB157, constB158)) | (v179(constB158) <=> v180(constB158)))),
% 17.21/12.50 inference(rewrite,[status(thm)],[])).
% 17.21/12.50 tff(35392,plain,
% 17.21/12.50 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v179(VarNext) <=> v180(VarNext)))) | ((~nextState(constB157, constB158)) | (v179(constB158) <=> v180(constB158)))),
% 17.21/12.50 inference(quant_inst,[status(thm)],[])).
% 17.21/12.50 tff(35393,plain,
% 17.21/12.50 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v179(VarNext) <=> v180(VarNext)))) | (~nextState(constB157, constB158)) | (v179(constB158) <=> v180(constB158))),
% 17.21/12.50 inference(modus_ponens,[status(thm)],[35392, 35391])).
% 17.21/12.51 tff(35394,plain,
% 17.21/12.51 (v179(constB158) <=> v180(constB158)),
% 17.21/12.51 inference(unit_resolution,[status(thm)],[35393, 21177, 13536])).
% 17.21/12.51 tff(35395,plain,
% 17.21/12.51 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> (~((~v181(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB157, constB158)) | (v180(constB158) <=> (~((~v1(constB158)) | (~v181(constB158))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> (~((~v181(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB157, constB158)) | (v180(constB158) <=> (~((~v1(constB158)) | (~v181(constB158))))))),
% 17.21/12.51 inference(rewrite,[status(thm)],[])).
% 17.21/12.51 tff(35396,plain,
% 17.21/12.51 (((~nextState(constB157, constB158)) | (v180(constB158) <=> (~((~v181(constB158)) | (~v1(constB158)))))) <=> ((~nextState(constB157, constB158)) | (v180(constB158) <=> (~((~v1(constB158)) | (~v181(constB158))))))),
% 17.21/12.51 inference(rewrite,[status(thm)],[])).
% 17.21/12.51 tff(35397,plain,
% 17.21/12.51 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> (~((~v181(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB157, constB158)) | (v180(constB158) <=> (~((~v181(constB158)) | (~v1(constB158))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> (~((~v181(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB157, constB158)) | (v180(constB158) <=> (~((~v1(constB158)) | (~v181(constB158)))))))),
% 17.21/12.51 inference(monotonicity,[status(thm)],[35396])).
% 17.21/12.51 tff(35398,plain,
% 17.21/12.51 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> (~((~v181(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB157, constB158)) | (v180(constB158) <=> (~((~v181(constB158)) | (~v1(constB158))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> (~((~v181(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB157, constB158)) | (v180(constB158) <=> (~((~v1(constB158)) | (~v181(constB158))))))),
% 17.21/12.51 inference(transitivity,[status(thm)],[35397, 35395])).
% 17.21/12.51 tff(35399,plain,
% 17.21/12.51 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> (~((~v181(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB157, constB158)) | (v180(constB158) <=> (~((~v181(constB158)) | (~v1(constB158))))))),
% 17.21/12.51 inference(quant_inst,[status(thm)],[])).
% 17.21/12.51 tff(35400,plain,
% 17.21/12.51 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> (~((~v181(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB157, constB158)) | (v180(constB158) <=> (~((~v1(constB158)) | (~v181(constB158)))))),
% 17.21/12.51 inference(modus_ponens,[status(thm)],[35399, 35398])).
% 17.21/12.51 tff(35401,plain,
% 17.21/12.51 (v180(constB158) <=> (~((~v1(constB158)) | (~v181(constB158))))),
% 17.21/12.51 inference(unit_resolution,[status(thm)],[35400, 21177, 13556])).
% 17.21/12.51 tff(35402,plain,
% 17.21/12.51 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v181(VarNext)) <=> v104(VarNext)))) | ((~nextState(constB157, constB158)) | ((~v181(constB158)) <=> v104(constB158)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v181(VarNext)) <=> v104(VarNext)))) | (~nextState(constB157, constB158)) | ((~v181(constB158)) <=> v104(constB158)))),
% 17.21/12.51 inference(rewrite,[status(thm)],[])).
% 17.21/12.51 tff(35403,plain,
% 17.21/12.51 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v181(VarNext)) <=> v104(VarNext)))) | ((~nextState(constB157, constB158)) | ((~v181(constB158)) <=> v104(constB158)))),
% 17.21/12.51 inference(quant_inst,[status(thm)],[])).
% 17.21/12.51 tff(35404,plain,
% 17.21/12.51 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v181(VarNext)) <=> v104(VarNext)))) | (~nextState(constB157, constB158)) | ((~v181(constB158)) <=> v104(constB158))),
% 17.21/12.51 inference(modus_ponens,[status(thm)],[35403, 35402])).
% 17.21/12.51 tff(35405,plain,
% 17.21/12.51 ((~v181(constB158)) <=> v104(constB158)),
% 17.21/12.51 inference(unit_resolution,[status(thm)],[35404, 21177, 13612])).
% 17.21/12.51 tff(35406,plain,
% 17.21/12.51 ((~((~v181(constB158)) <=> v104(constB158))) | v181(constB158) | v104(constB158)),
% 17.21/12.51 inference(tautology,[status(thm)],[])).
% 17.21/12.51 tff(35407,plain,
% 17.21/12.51 (v181(constB158)),
% 17.21/12.51 inference(unit_resolution,[status(thm)],[35406, 21202, 35405])).
% 17.21/12.51 tff(35408,plain,
% 17.21/12.51 ((~((~v1(constB158)) | (~v181(constB158)))) | (~v1(constB158)) | (~v181(constB158))),
% 17.21/12.51 inference(tautology,[status(thm)],[])).
% 17.21/12.51 tff(35409,plain,
% 17.21/12.51 ((~((~v1(constB158)) | (~v181(constB158)))) | (~v181(constB158))),
% 17.21/12.51 inference(unit_resolution,[status(thm)],[35408, 21207])).
% 17.21/12.51 tff(35410,plain,
% 17.21/12.51 (~((~v1(constB158)) | (~v181(constB158)))),
% 17.21/12.51 inference(unit_resolution,[status(thm)],[35409, 35407])).
% 17.21/12.51 tff(35411,plain,
% 17.21/12.51 ((~(v180(constB158) <=> (~((~v1(constB158)) | (~v181(constB158)))))) | v180(constB158) | ((~v1(constB158)) | (~v181(constB158)))),
% 17.21/12.51 inference(tautology,[status(thm)],[])).
% 17.21/12.51 tff(35412,plain,
% 17.21/12.51 (v180(constB158)),
% 17.21/12.51 inference(unit_resolution,[status(thm)],[35411, 35410, 35401])).
% 17.21/12.51 tff(35413,plain,
% 17.21/12.51 ((~(v179(constB158) <=> v180(constB158))) | v179(constB158) | (~v180(constB158))),
% 17.21/12.51 inference(tautology,[status(thm)],[])).
% 17.21/12.51 tff(35414,plain,
% 17.21/12.51 (v179(constB158)),
% 17.21/12.51 inference(unit_resolution,[status(thm)],[35413, 35412, 35394])).
% 17.21/12.51 tff(35415,plain,
% 17.21/12.51 (((~![VarNext: $i] : ((~v179(VarNext)) | (v159(VarNext) <=> v186(VarNext)))) | ((~v179(constB158)) | (v159(constB158) <=> v186(constB158)))) <=> ((~![VarNext: $i] : ((~v179(VarNext)) | (v159(VarNext) <=> v186(VarNext)))) | (~v179(constB158)) | (v159(constB158) <=> v186(constB158)))),
% 17.21/12.51 inference(rewrite,[status(thm)],[])).
% 17.21/12.51 tff(35416,plain,
% 17.21/12.51 ((~![VarNext: $i] : ((~v179(VarNext)) | (v159(VarNext) <=> v186(VarNext)))) | ((~v179(constB158)) | (v159(constB158) <=> v186(constB158)))),
% 17.21/12.51 inference(quant_inst,[status(thm)],[])).
% 17.21/12.51 tff(35417,plain,
% 17.21/12.51 ((~![VarNext: $i] : ((~v179(VarNext)) | (v159(VarNext) <=> v186(VarNext)))) | (~v179(constB158)) | (v159(constB158) <=> v186(constB158))),
% 17.21/12.51 inference(modus_ponens,[status(thm)],[35416, 35415])).
% 17.21/12.51 tff(35418,plain,
% 17.21/12.51 (v159(constB158) <=> v186(constB158)),
% 17.21/12.51 inference(unit_resolution,[status(thm)],[35417, 13648, 35414])).
% 17.21/12.51 tff(35419,plain,
% 17.21/12.51 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v186(VarNext) <=> v161(VarCurr)))) | ((~nextState(constB157, constB158)) | (v186(constB158) <=> v161(constB157)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v186(VarNext) <=> v161(VarCurr)))) | (~nextState(constB157, constB158)) | (v186(constB158) <=> v161(constB157)))),
% 17.21/12.51 inference(rewrite,[status(thm)],[])).
% 17.21/12.51 tff(35420,plain,
% 17.21/12.51 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v186(VarNext) <=> v161(VarCurr)))) | ((~nextState(constB157, constB158)) | (v186(constB158) <=> v161(constB157)))),
% 17.21/12.51 inference(quant_inst,[status(thm)],[])).
% 17.21/12.51 tff(35421,plain,
% 17.21/12.51 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v186(VarNext) <=> v161(VarCurr)))) | (~nextState(constB157, constB158)) | (v186(constB158) <=> v161(constB157))),
% 17.21/12.51 inference(modus_ponens,[status(thm)],[35420, 35419])).
% 17.21/12.51 tff(35422,plain,
% 17.21/12.51 (v186(constB158) <=> v161(constB157)),
% 17.21/12.51 inference(unit_resolution,[status(thm)],[35421, 21177, 13662])).
% 17.21/12.51 tff(35423,plain,
% 17.21/12.51 ((~![VarCurr: $i] : (v161(VarCurr) <=> v163(VarCurr))) | (v161(constB157) <=> v163(constB157))),
% 17.21/12.51 inference(quant_inst,[status(thm)],[])).
% 17.21/12.51 tff(35424,plain,
% 17.21/12.51 (v161(constB157) <=> v163(constB157)),
% 17.21/12.51 inference(unit_resolution,[status(thm)],[35423, 357])).
% 17.21/12.51 tff(35425,plain,
% 17.21/12.51 ((~![VarCurr: $i] : (v171(VarCurr) <=> (v142(VarCurr) | v150(VarCurr)))) | (v171(constB157) <=> (v142(constB157) | v150(constB157)))),
% 17.21/12.51 inference(quant_inst,[status(thm)],[])).
% 17.21/12.51 tff(35426,plain,
% 17.21/12.51 (v171(constB157) <=> (v142(constB157) | v150(constB157))),
% 17.21/12.51 inference(unit_resolution,[status(thm)],[35425, 369])).
% 17.21/12.51 tff(35427,plain,
% 17.21/12.51 ((~![VarCurr: $i] : (v150(VarCurr) <=> (v141(VarCurr) | v151(VarCurr)))) | (v150(constB157) <=> (v141(constB157) | v151(constB157)))),
% 17.21/12.51 inference(quant_inst,[status(thm)],[])).
% 17.21/12.51 tff(35428,plain,
% 17.21/12.51 (v150(constB157) <=> (v141(constB157) | v151(constB157))),
% 17.21/12.51 inference(unit_resolution,[status(thm)],[35427, 13680])).
% 17.21/12.51 tff(35429,plain,
% 17.21/12.51 ((~![VarCurr: $i] : (v151(VarCurr) <=> (v139(VarCurr) | v140(VarCurr)))) | (v151(constB157) <=> (v139(constB157) | v140(constB157)))),
% 17.21/12.51 inference(quant_inst,[status(thm)],[])).
% 17.21/12.51 tff(35430,plain,
% 17.21/12.51 (v151(constB157) <=> (v139(constB157) | v140(constB157))),
% 17.21/12.51 inference(unit_resolution,[status(thm)],[35429, 13689])).
% 17.21/12.51 tff(35431,plain,
% 17.21/12.51 (((~![VarCurr: $i] : (v140(VarCurr) <=> (~(v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex0)))))) | (v140(constB157) <=> (~(v88(constB157, bitIndex2) | v88(constB157, bitIndex1) | (~v88(constB157, bitIndex0)))))) <=> ((~![VarCurr: $i] : (v140(VarCurr) <=> (~(v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex0)))))) | (v140(constB157) <=> (~(v88(constB157, bitIndex2) | v88(constB157, bitIndex1) | (~v88(constB157, bitIndex0))))))),
% 17.21/12.51 inference(rewrite,[status(thm)],[])).
% 17.21/12.51 tff(35432,plain,
% 17.21/12.51 ((v140(constB157) <=> (~(v88(constB157, bitIndex1) | v88(constB157, bitIndex2) | (~v88(constB157, bitIndex0))))) <=> (v140(constB157) <=> (~(v88(constB157, bitIndex2) | v88(constB157, bitIndex1) | (~v88(constB157, bitIndex0)))))),
% 17.21/12.51 inference(rewrite,[status(thm)],[])).
% 17.21/12.51 tff(35433,plain,
% 17.21/12.51 (((~![VarCurr: $i] : (v140(VarCurr) <=> (~(v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex0)))))) | (v140(constB157) <=> (~(v88(constB157, bitIndex1) | v88(constB157, bitIndex2) | (~v88(constB157, bitIndex0)))))) <=> ((~![VarCurr: $i] : (v140(VarCurr) <=> (~(v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex0)))))) | (v140(constB157) <=> (~(v88(constB157, bitIndex2) | v88(constB157, bitIndex1) | (~v88(constB157, bitIndex0))))))),
% 17.21/12.51 inference(monotonicity,[status(thm)],[35432])).
% 17.21/12.51 tff(35434,plain,
% 17.21/12.51 (((~![VarCurr: $i] : (v140(VarCurr) <=> (~(v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex0)))))) | (v140(constB157) <=> (~(v88(constB157, bitIndex1) | v88(constB157, bitIndex2) | (~v88(constB157, bitIndex0)))))) <=> ((~![VarCurr: $i] : (v140(VarCurr) <=> (~(v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex0)))))) | (v140(constB157) <=> (~(v88(constB157, bitIndex2) | v88(constB157, bitIndex1) | (~v88(constB157, bitIndex0))))))),
% 17.21/12.51 inference(transitivity,[status(thm)],[35433, 35431])).
% 17.21/12.51 tff(35435,plain,
% 17.21/12.51 ((~![VarCurr: $i] : (v140(VarCurr) <=> (~(v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex0)))))) | (v140(constB157) <=> (~(v88(constB157, bitIndex1) | v88(constB157, bitIndex2) | (~v88(constB157, bitIndex0)))))),
% 17.21/12.51 inference(quant_inst,[status(thm)],[])).
% 17.21/12.51 tff(35436,plain,
% 17.21/12.51 ((~![VarCurr: $i] : (v140(VarCurr) <=> (~(v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex0)))))) | (v140(constB157) <=> (~(v88(constB157, bitIndex2) | v88(constB157, bitIndex1) | (~v88(constB157, bitIndex0)))))),
% 17.21/12.51 inference(modus_ponens,[status(thm)],[35435, 35434])).
% 17.21/12.51 tff(35437,plain,
% 17.21/12.51 (v140(constB157) <=> (~(v88(constB157, bitIndex2) | v88(constB157, bitIndex1) | (~v88(constB157, bitIndex0))))),
% 17.21/12.51 inference(unit_resolution,[status(thm)],[35436, 13704])).
% 17.21/12.51 tff(35438,plain,
% 17.21/12.51 (((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | ((~less_3(bitIndex2)) | (v88(constB157, bitIndex2) <=> v90(constB157, bitIndex2)))) <=> ((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | (~less_3(bitIndex2)) | (v88(constB157, bitIndex2) <=> v90(constB157, bitIndex2)))),
% 17.21/12.51 inference(rewrite,[status(thm)],[])).
% 17.21/12.51 tff(35439,plain,
% 17.21/12.51 ((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | ((~less_3(bitIndex2)) | (v88(constB157, bitIndex2) <=> v90(constB157, bitIndex2)))),
% 17.21/12.51 inference(quant_inst,[status(thm)],[])).
% 17.21/12.51 tff(35440,plain,
% 17.21/12.51 ((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | (~less_3(bitIndex2)) | (v88(constB157, bitIndex2) <=> v90(constB157, bitIndex2))),
% 17.21/12.51 inference(modus_ponens,[status(thm)],[35439, 35438])).
% 17.21/12.51 tff(35441,plain,
% 17.21/12.51 (v88(constB157, bitIndex2) <=> v90(constB157, bitIndex2)),
% 17.21/12.51 inference(unit_resolution,[status(thm)],[35440, 413, 410])).
% 17.31/12.51 tff(35442,plain,
% 17.31/12.51 ((~(v88(constB157, bitIndex2) <=> v90(constB157, bitIndex2))) | (~v88(constB157, bitIndex2)) | v90(constB157, bitIndex2)),
% 17.31/12.51 inference(tautology,[status(thm)],[])).
% 17.31/12.51 tff(35443,plain,
% 17.31/12.51 (~v88(constB157, bitIndex2)),
% 17.31/12.51 inference(unit_resolution,[status(thm)],[35442, 22439, 35441])).
% 17.31/12.51 tff(35444,plain,
% 17.31/12.51 (((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | ((~less_3(bitIndex0)) | (v88(constB157, bitIndex0) <=> v90(constB157, bitIndex0)))) <=> ((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | (~less_3(bitIndex0)) | (v88(constB157, bitIndex0) <=> v90(constB157, bitIndex0)))),
% 17.31/12.51 inference(rewrite,[status(thm)],[])).
% 17.31/12.51 tff(35445,plain,
% 17.31/12.51 ((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | ((~less_3(bitIndex0)) | (v88(constB157, bitIndex0) <=> v90(constB157, bitIndex0)))),
% 17.31/12.51 inference(quant_inst,[status(thm)],[])).
% 17.31/12.51 tff(35446,plain,
% 17.31/12.51 ((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | (~less_3(bitIndex0)) | (v88(constB157, bitIndex0) <=> v90(constB157, bitIndex0))),
% 17.31/12.51 inference(modus_ponens,[status(thm)],[35445, 35444])).
% 17.31/12.51 tff(35447,plain,
% 17.31/12.51 (v88(constB157, bitIndex0) <=> v90(constB157, bitIndex0)),
% 17.31/12.51 inference(unit_resolution,[status(thm)],[35446, 5004, 410])).
% 17.31/12.51 tff(35448,plain,
% 17.31/12.51 ((~(v88(constB157, bitIndex0) <=> v90(constB157, bitIndex0))) | v88(constB157, bitIndex0) | (~v90(constB157, bitIndex0))),
% 17.31/12.51 inference(tautology,[status(thm)],[])).
% 17.31/12.51 tff(35449,plain,
% 17.31/12.51 (v88(constB157, bitIndex0)),
% 17.31/12.51 inference(unit_resolution,[status(thm)],[35448, 22470, 35447])).
% 17.31/12.51 tff(35450,plain,
% 17.31/12.51 (((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | ((~less_3(bitIndex1)) | (v88(constB157, bitIndex1) <=> v90(constB157, bitIndex1)))) <=> ((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | (~less_3(bitIndex1)) | (v88(constB157, bitIndex1) <=> v90(constB157, bitIndex1)))),
% 17.31/12.51 inference(rewrite,[status(thm)],[])).
% 17.31/12.51 tff(35451,plain,
% 17.31/12.51 ((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | ((~less_3(bitIndex1)) | (v88(constB157, bitIndex1) <=> v90(constB157, bitIndex1)))),
% 17.31/12.51 inference(quant_inst,[status(thm)],[])).
% 17.31/12.51 tff(35452,plain,
% 17.31/12.51 ((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | (~less_3(bitIndex1)) | (v88(constB157, bitIndex1) <=> v90(constB157, bitIndex1))),
% 17.31/12.51 inference(modus_ponens,[status(thm)],[35451, 35450])).
% 17.31/12.51 tff(35453,plain,
% 17.31/12.51 (v88(constB157, bitIndex1) <=> v90(constB157, bitIndex1)),
% 17.31/12.51 inference(unit_resolution,[status(thm)],[35452, 5017, 410])).
% 17.31/12.51 tff(35454,plain,
% 17.31/12.51 ((~(v88(constB157, bitIndex1) <=> v90(constB157, bitIndex1))) | (~v88(constB157, bitIndex1)) | v90(constB157, bitIndex1)),
% 17.31/12.51 inference(tautology,[status(thm)],[])).
% 17.31/12.51 tff(35455,plain,
% 17.31/12.51 (~v88(constB157, bitIndex1)),
% 17.31/12.51 inference(unit_resolution,[status(thm)],[35454, 22501, 35453])).
% 17.31/12.51 tff(35456,plain,
% 17.31/12.51 ((~(v88(constB157, bitIndex2) | v88(constB157, bitIndex1) | (~v88(constB157, bitIndex0)))) | v88(constB157, bitIndex2) | v88(constB157, bitIndex1) | (~v88(constB157, bitIndex0))),
% 17.31/12.51 inference(tautology,[status(thm)],[])).
% 17.31/12.51 tff(35457,plain,
% 17.31/12.51 (~(v88(constB157, bitIndex2) | v88(constB157, bitIndex1) | (~v88(constB157, bitIndex0)))),
% 17.31/12.51 inference(unit_resolution,[status(thm)],[35456, 35455, 35449, 35443])).
% 17.31/12.51 tff(35458,plain,
% 17.31/12.51 ((~(v140(constB157) <=> (~(v88(constB157, bitIndex2) | v88(constB157, bitIndex1) | (~v88(constB157, bitIndex0)))))) | v140(constB157) | (v88(constB157, bitIndex2) | v88(constB157, bitIndex1) | (~v88(constB157, bitIndex0)))),
% 17.31/12.51 inference(tautology,[status(thm)],[])).
% 17.31/12.51 tff(35459,plain,
% 17.31/12.51 (v140(constB157)),
% 17.31/12.51 inference(unit_resolution,[status(thm)],[35458, 35457, 35437])).
% 17.31/12.51 tff(35460,plain,
% 17.31/12.51 ((v139(constB157) | v140(constB157)) | (~v140(constB157))),
% 17.31/12.51 inference(tautology,[status(thm)],[])).
% 17.31/12.51 tff(35461,plain,
% 17.31/12.51 (v139(constB157) | v140(constB157)),
% 17.31/12.51 inference(unit_resolution,[status(thm)],[35460, 35459])).
% 17.31/12.51 tff(35462,plain,
% 17.31/12.52 ((~(v151(constB157) <=> (v139(constB157) | v140(constB157)))) | v151(constB157) | (~(v139(constB157) | v140(constB157)))),
% 17.31/12.52 inference(tautology,[status(thm)],[])).
% 17.31/12.52 tff(35463,plain,
% 17.31/12.52 (v151(constB157)),
% 17.31/12.52 inference(unit_resolution,[status(thm)],[35462, 35461, 35430])).
% 17.31/12.52 tff(35464,plain,
% 17.31/12.52 ((v141(constB157) | v151(constB157)) | (~v151(constB157))),
% 17.31/12.52 inference(tautology,[status(thm)],[])).
% 17.31/12.52 tff(35465,plain,
% 17.31/12.52 (v141(constB157) | v151(constB157)),
% 17.31/12.52 inference(unit_resolution,[status(thm)],[35464, 35463])).
% 17.31/12.52 tff(35466,plain,
% 17.31/12.52 ((~(v150(constB157) <=> (v141(constB157) | v151(constB157)))) | v150(constB157) | (~(v141(constB157) | v151(constB157)))),
% 17.31/12.52 inference(tautology,[status(thm)],[])).
% 17.31/12.52 tff(35467,plain,
% 17.31/12.52 (v150(constB157)),
% 17.31/12.52 inference(unit_resolution,[status(thm)],[35466, 35465, 35428])).
% 17.31/12.52 tff(35468,plain,
% 17.31/12.52 ((v142(constB157) | v150(constB157)) | (~v150(constB157))),
% 17.31/12.52 inference(tautology,[status(thm)],[])).
% 17.31/12.52 tff(35469,plain,
% 17.31/12.52 (v142(constB157) | v150(constB157)),
% 17.31/12.52 inference(unit_resolution,[status(thm)],[35468, 35467])).
% 17.31/12.52 tff(35470,plain,
% 17.31/12.52 ((~(v171(constB157) <=> (v142(constB157) | v150(constB157)))) | v171(constB157) | (~(v142(constB157) | v150(constB157)))),
% 17.31/12.52 inference(tautology,[status(thm)],[])).
% 17.31/12.52 tff(35471,plain,
% 17.31/12.52 (v171(constB157)),
% 17.31/12.52 inference(unit_resolution,[status(thm)],[35470, 35469, 35426])).
% 17.31/12.52 tff(35472,plain,
% 17.31/12.52 (((~![VarCurr: $i] : ((~v171(VarCurr)) | (~v170(VarCurr)))) | ((~v170(constB157)) | (~v171(constB157)))) <=> ((~![VarCurr: $i] : ((~v171(VarCurr)) | (~v170(VarCurr)))) | (~v170(constB157)) | (~v171(constB157)))),
% 17.31/12.52 inference(rewrite,[status(thm)],[])).
% 17.31/12.52 tff(35473,plain,
% 17.31/12.52 (((~v171(constB157)) | (~v170(constB157))) <=> ((~v170(constB157)) | (~v171(constB157)))),
% 17.31/12.52 inference(rewrite,[status(thm)],[])).
% 17.31/12.52 tff(35474,plain,
% 17.31/12.52 (((~![VarCurr: $i] : ((~v171(VarCurr)) | (~v170(VarCurr)))) | ((~v171(constB157)) | (~v170(constB157)))) <=> ((~![VarCurr: $i] : ((~v171(VarCurr)) | (~v170(VarCurr)))) | ((~v170(constB157)) | (~v171(constB157))))),
% 17.31/12.52 inference(monotonicity,[status(thm)],[35473])).
% 17.31/12.52 tff(35475,plain,
% 17.31/12.52 (((~![VarCurr: $i] : ((~v171(VarCurr)) | (~v170(VarCurr)))) | ((~v171(constB157)) | (~v170(constB157)))) <=> ((~![VarCurr: $i] : ((~v171(VarCurr)) | (~v170(VarCurr)))) | (~v170(constB157)) | (~v171(constB157)))),
% 17.31/12.52 inference(transitivity,[status(thm)],[35474, 35472])).
% 17.31/12.52 tff(35476,plain,
% 17.31/12.52 ((~![VarCurr: $i] : ((~v171(VarCurr)) | (~v170(VarCurr)))) | ((~v171(constB157)) | (~v170(constB157)))),
% 17.31/12.52 inference(quant_inst,[status(thm)],[])).
% 17.31/12.52 tff(35477,plain,
% 17.31/12.52 ((~![VarCurr: $i] : ((~v171(VarCurr)) | (~v170(VarCurr)))) | (~v170(constB157)) | (~v171(constB157))),
% 17.31/12.52 inference(modus_ponens,[status(thm)],[35476, 35475])).
% 17.31/12.52 tff(35478,plain,
% 17.31/12.52 ((~v170(constB157)) | (~v171(constB157))),
% 17.31/12.52 inference(unit_resolution,[status(thm)],[35477, 13061])).
% 17.31/12.52 tff(35479,plain,
% 17.31/12.52 (~v170(constB157)),
% 17.31/12.52 inference(unit_resolution,[status(thm)],[35478, 35471])).
% 17.31/12.52 tff(35480,plain,
% 17.31/12.52 ((~![VarCurr: $i] : (v166(VarCurr) <=> (v145(VarCurr) | v167(VarCurr)))) | (v166(constB157) <=> (v145(constB157) | v167(constB157)))),
% 17.31/12.52 inference(quant_inst,[status(thm)],[])).
% 17.31/12.52 tff(35481,plain,
% 17.31/12.52 (v166(constB157) <=> (v145(constB157) | v167(constB157))),
% 17.31/12.52 inference(unit_resolution,[status(thm)],[35480, 13079])).
% 17.31/12.52 tff(35482,plain,
% 17.31/12.52 ((~![VarCurr: $i] : (v167(VarCurr) <=> (v142(VarCurr) | v168(VarCurr)))) | (v167(constB157) <=> (v142(constB157) | v168(constB157)))),
% 17.31/12.52 inference(quant_inst,[status(thm)],[])).
% 17.31/12.52 tff(35483,plain,
% 17.31/12.52 (v167(constB157) <=> (v142(constB157) | v168(constB157))),
% 17.31/12.52 inference(unit_resolution,[status(thm)],[35482, 13091])).
% 17.31/12.52 tff(35484,plain,
% 17.31/12.52 ((~![VarCurr: $i] : (v168(VarCurr) <=> (v141(VarCurr) | v169(VarCurr)))) | (v168(constB157) <=> (v141(constB157) | v169(constB157)))),
% 17.31/12.52 inference(quant_inst,[status(thm)],[])).
% 17.31/12.52 tff(35485,plain,
% 17.31/12.52 (v168(constB157) <=> (v141(constB157) | v169(constB157))),
% 17.31/12.52 inference(unit_resolution,[status(thm)],[35484, 20513])).
% 17.31/12.52 tff(35486,plain,
% 17.31/12.52 ((~![VarCurr: $i] : (v169(VarCurr) <=> (v139(VarCurr) | v140(VarCurr)))) | (v169(constB157) <=> (v139(constB157) | v140(constB157)))),
% 17.31/12.52 inference(quant_inst,[status(thm)],[])).
% 17.31/12.52 tff(35487,plain,
% 17.31/12.52 (v169(constB157) <=> (v139(constB157) | v140(constB157))),
% 17.31/12.52 inference(unit_resolution,[status(thm)],[35486, 20522])).
% 17.31/12.52 tff(35488,plain,
% 17.31/12.52 ((~(v169(constB157) <=> (v139(constB157) | v140(constB157)))) | v169(constB157) | (~(v139(constB157) | v140(constB157)))),
% 17.31/12.52 inference(tautology,[status(thm)],[])).
% 17.31/12.52 tff(35489,plain,
% 17.31/12.52 (v169(constB157)),
% 17.31/12.52 inference(unit_resolution,[status(thm)],[35488, 35461, 35487])).
% 17.31/12.52 tff(35490,plain,
% 17.31/12.52 ((v141(constB157) | v169(constB157)) | (~v169(constB157))),
% 17.31/12.52 inference(tautology,[status(thm)],[])).
% 17.31/12.52 tff(35491,plain,
% 17.31/12.52 (v141(constB157) | v169(constB157)),
% 17.31/12.52 inference(unit_resolution,[status(thm)],[35490, 35489])).
% 17.31/12.52 tff(35492,plain,
% 17.31/12.52 ((~(v168(constB157) <=> (v141(constB157) | v169(constB157)))) | v168(constB157) | (~(v141(constB157) | v169(constB157)))),
% 17.31/12.52 inference(tautology,[status(thm)],[])).
% 17.31/12.52 tff(35493,plain,
% 17.31/12.52 (v168(constB157)),
% 17.31/12.52 inference(unit_resolution,[status(thm)],[35492, 35491, 35485])).
% 17.31/12.52 tff(35494,plain,
% 17.31/12.52 ((v142(constB157) | v168(constB157)) | (~v168(constB157))),
% 17.31/12.52 inference(tautology,[status(thm)],[])).
% 17.31/12.52 tff(35495,plain,
% 17.31/12.52 (v142(constB157) | v168(constB157)),
% 17.31/12.52 inference(unit_resolution,[status(thm)],[35494, 35493])).
% 17.31/12.52 tff(35496,plain,
% 17.31/12.52 ((~(v167(constB157) <=> (v142(constB157) | v168(constB157)))) | v167(constB157) | (~(v142(constB157) | v168(constB157)))),
% 17.31/12.52 inference(tautology,[status(thm)],[])).
% 17.31/12.52 tff(35497,plain,
% 17.31/12.52 (v167(constB157)),
% 17.31/12.52 inference(unit_resolution,[status(thm)],[35496, 35495, 35483])).
% 17.31/12.52 tff(35498,plain,
% 17.31/12.52 ((v145(constB157) | v167(constB157)) | (~v167(constB157))),
% 17.31/12.52 inference(tautology,[status(thm)],[])).
% 17.31/12.52 tff(35499,plain,
% 17.31/12.52 (v145(constB157) | v167(constB157)),
% 17.31/12.52 inference(unit_resolution,[status(thm)],[35498, 35497])).
% 17.31/12.52 tff(35500,plain,
% 17.31/12.52 ((~(v166(constB157) <=> (v145(constB157) | v167(constB157)))) | v166(constB157) | (~(v145(constB157) | v167(constB157)))),
% 17.31/12.52 inference(tautology,[status(thm)],[])).
% 17.31/12.52 tff(35501,plain,
% 17.31/12.52 (v166(constB157)),
% 17.31/12.52 inference(unit_resolution,[status(thm)],[35500, 35499, 35481])).
% 17.31/12.52 tff(35502,plain,
% 17.31/12.52 (((~![VarNext: $i] : ((~v166(VarNext)) | (v163(VarNext) <=> v170(VarNext)))) | ((~v166(constB157)) | (v163(constB157) <=> v170(constB157)))) <=> ((~![VarNext: $i] : ((~v166(VarNext)) | (v163(VarNext) <=> v170(VarNext)))) | (~v166(constB157)) | (v163(constB157) <=> v170(constB157)))),
% 17.31/12.52 inference(rewrite,[status(thm)],[])).
% 17.31/12.52 tff(35503,plain,
% 17.31/12.52 ((~![VarNext: $i] : ((~v166(VarNext)) | (v163(VarNext) <=> v170(VarNext)))) | ((~v166(constB157)) | (v163(constB157) <=> v170(constB157)))),
% 17.31/12.52 inference(quant_inst,[status(thm)],[])).
% 17.31/12.52 tff(35504,plain,
% 17.31/12.52 ((~![VarNext: $i] : ((~v166(VarNext)) | (v163(VarNext) <=> v170(VarNext)))) | (~v166(constB157)) | (v163(constB157) <=> v170(constB157))),
% 17.31/12.52 inference(modus_ponens,[status(thm)],[35503, 35502])).
% 17.31/12.52 tff(35505,plain,
% 17.31/12.52 ((~v166(constB157)) | (v163(constB157) <=> v170(constB157))),
% 17.31/12.52 inference(unit_resolution,[status(thm)],[35504, 13111])).
% 17.31/12.52 tff(35506,plain,
% 17.31/12.52 (v163(constB157) <=> v170(constB157)),
% 17.31/12.52 inference(unit_resolution,[status(thm)],[35505, 35501])).
% 17.31/12.52 tff(35507,plain,
% 17.31/12.52 ((~(v163(constB157) <=> v170(constB157))) | (~v163(constB157)) | v170(constB157)),
% 17.31/12.52 inference(tautology,[status(thm)],[])).
% 17.31/12.52 tff(35508,plain,
% 17.31/12.52 (~v163(constB157)),
% 17.31/12.52 inference(unit_resolution,[status(thm)],[35507, 35506, 35479])).
% 17.31/12.52 tff(35509,plain,
% 17.31/12.52 ((~(v161(constB157) <=> v163(constB157))) | (~v161(constB157)) | v163(constB157)),
% 17.31/12.52 inference(tautology,[status(thm)],[])).
% 17.31/12.52 tff(35510,plain,
% 17.31/12.52 (~v161(constB157)),
% 17.31/12.52 inference(unit_resolution,[status(thm)],[35509, 35508, 35424])).
% 17.31/12.52 tff(35511,plain,
% 17.31/12.52 ((~(v186(constB158) <=> v161(constB157))) | (~v186(constB158)) | v161(constB157)),
% 17.31/12.52 inference(tautology,[status(thm)],[])).
% 17.31/12.52 tff(35512,plain,
% 17.31/12.52 (~v186(constB158)),
% 17.31/12.52 inference(unit_resolution,[status(thm)],[35511, 35510, 35422])).
% 17.31/12.52 tff(35513,plain,
% 17.31/12.52 ((~(v159(constB158) <=> v186(constB158))) | (~v159(constB158)) | v186(constB158)),
% 17.31/12.52 inference(tautology,[status(thm)],[])).
% 17.31/12.52 tff(35514,plain,
% 17.31/12.52 (~v159(constB158)),
% 17.31/12.52 inference(unit_resolution,[status(thm)],[35513, 35512, 35418])).
% 17.31/12.52 tff(35515,plain,
% 17.31/12.52 ((~(v159(constB159) <=> v159(constB158))) | (~v159(constB159)) | v159(constB158)),
% 17.31/12.52 inference(tautology,[status(thm)],[])).
% 17.31/12.52 tff(35516,plain,
% 17.31/12.52 (~v159(constB159)),
% 17.31/12.52 inference(unit_resolution,[status(thm)],[35515, 35514, 35390])).
% 17.31/12.52 tff(35517,plain,
% 17.31/12.52 (((~v159(constB159)) | (~v161(constB159))) | v159(constB159)),
% 17.31/12.52 inference(tautology,[status(thm)],[])).
% 17.31/12.52 tff(35518,plain,
% 17.31/12.52 ((~v159(constB159)) | (~v161(constB159))),
% 17.31/12.52 inference(unit_resolution,[status(thm)],[35517, 35516])).
% 17.31/12.52 tff(35519,plain,
% 17.31/12.52 ((~(v201(constB159) <=> (~((~v159(constB159)) | (~v161(constB159)))))) | (~v201(constB159)) | (~((~v159(constB159)) | (~v161(constB159))))),
% 17.31/12.52 inference(tautology,[status(thm)],[])).
% 17.31/12.52 tff(35520,plain,
% 17.31/12.52 (~v201(constB159)),
% 17.31/12.52 inference(unit_resolution,[status(thm)],[35519, 35518, 35364])).
% 17.31/12.52 tff(35521,plain,
% 17.31/12.52 (((~v197(constB159)) | (~v201(constB159))) | v201(constB159)),
% 17.31/12.52 inference(tautology,[status(thm)],[])).
% 17.31/12.52 tff(35522,plain,
% 17.31/12.52 ((~v197(constB159)) | (~v201(constB159))),
% 17.31/12.52 inference(unit_resolution,[status(thm)],[35521, 35520])).
% 17.31/12.52 tff(35523,plain,
% 17.31/12.52 ((~(v200(constB159) <=> (~((~v197(constB159)) | (~v201(constB159)))))) | (~v200(constB159)) | (~((~v197(constB159)) | (~v201(constB159))))),
% 17.31/12.52 inference(tautology,[status(thm)],[])).
% 17.31/12.52 tff(35524,plain,
% 17.31/12.52 (~v200(constB159)),
% 17.31/12.52 inference(unit_resolution,[status(thm)],[35523, 35522, 35362])).
% 17.31/12.52 tff(35525,plain,
% 17.31/12.52 (((~v199(constB159)) | (~v200(constB159))) | v200(constB159)),
% 17.31/12.52 inference(tautology,[status(thm)],[])).
% 17.31/12.52 tff(35526,plain,
% 17.31/12.52 ((~v199(constB159)) | (~v200(constB159))),
% 17.31/12.52 inference(unit_resolution,[status(thm)],[35525, 35524])).
% 17.31/12.52 tff(35527,plain,
% 17.31/12.52 ((~(v198(constB159) <=> (~((~v199(constB159)) | (~v200(constB159)))))) | (~v198(constB159)) | (~((~v199(constB159)) | (~v200(constB159))))),
% 17.31/12.52 inference(tautology,[status(thm)],[])).
% 17.31/12.52 tff(35528,plain,
% 17.31/12.52 (~v198(constB159)),
% 17.31/12.52 inference(unit_resolution,[status(thm)],[35527, 35526, 35360])).
% 17.31/12.52 tff(35529,plain,
% 17.31/12.52 ((~(v194(constB159) | v198(constB159))) | v194(constB159) | v198(constB159)),
% 17.31/12.52 inference(tautology,[status(thm)],[])).
% 17.31/12.52 tff(35530,plain,
% 17.31/12.52 (~(v194(constB159) | v198(constB159))),
% 17.31/12.52 inference(unit_resolution,[status(thm)],[35529, 35528, 35358])).
% 17.31/12.52 tff(35531,plain,
% 17.31/12.52 ((~(v191(constB159) <=> (v194(constB159) | v198(constB159)))) | (~v191(constB159)) | (v194(constB159) | v198(constB159))),
% 17.31/12.52 inference(tautology,[status(thm)],[])).
% 17.31/12.52 tff(35532,plain,
% 17.31/12.52 (~v191(constB159)),
% 17.31/12.52 inference(unit_resolution,[status(thm)],[35531, 35530, 35285])).
% 17.31/12.52 tff(35533,plain,
% 17.31/12.52 ((~(v193(constB160) <=> v191(constB159))) | (~v193(constB160)) | v191(constB159)),
% 17.31/12.52 inference(tautology,[status(thm)],[])).
% 17.31/12.52 tff(35534,plain,
% 17.31/12.52 (~v193(constB160)),
% 17.31/12.52 inference(unit_resolution,[status(thm)],[35533, 35532, 35283])).
% 17.31/12.52 tff(35535,plain,
% 17.31/12.52 ((~(v157(constB160) <=> v193(constB160))) | (~v157(constB160)) | v193(constB160)),
% 17.31/12.52 inference(tautology,[status(thm)],[])).
% 17.31/12.52 tff(35536,plain,
% 17.31/12.52 (~v157(constB160)),
% 17.31/12.52 inference(unit_resolution,[status(thm)],[35535, 35534, 35279])).
% 17.31/12.52 tff(35537,plain,
% 17.31/12.52 (((~v157(constB160)) | (~v195(constB160))) | v157(constB160)),
% 17.31/12.52 inference(tautology,[status(thm)],[])).
% 17.31/12.52 tff(35538,plain,
% 17.31/12.52 ((~v157(constB160)) | (~v195(constB160))),
% 17.31/12.52 inference(unit_resolution,[status(thm)],[35537, 35536])).
% 17.31/12.52 tff(35539,plain,
% 17.31/12.52 ((~(v194(constB160) <=> (~((~v157(constB160)) | (~v195(constB160)))))) | (~v194(constB160)) | (~((~v157(constB160)) | (~v195(constB160))))),
% 17.31/12.52 inference(tautology,[status(thm)],[])).
% 17.31/12.52 tff(35540,plain,
% 17.31/12.52 (~v194(constB160)),
% 17.31/12.52 inference(unit_resolution,[status(thm)],[35539, 35538, 35277])).
% 17.31/12.52 tff(35541,plain,
% 17.31/12.52 ((~(v194(constB160) | v198(constB160))) | v194(constB160) | v198(constB160)),
% 17.31/12.52 inference(tautology,[status(thm)],[])).
% 17.31/12.52 tff(35542,plain,
% 17.31/12.52 (~(v194(constB160) | v198(constB160))),
% 17.31/12.52 inference(unit_resolution,[status(thm)],[35541, 35540, 35270])).
% 17.31/12.52 tff(35543,plain,
% 17.31/12.52 ((~(v191(constB160) <=> (v194(constB160) | v198(constB160)))) | (~v191(constB160)) | (v194(constB160) | v198(constB160))),
% 17.31/12.52 inference(tautology,[status(thm)],[])).
% 17.31/12.52 tff(35544,plain,
% 17.31/12.52 (~v191(constB160)),
% 17.31/12.52 inference(unit_resolution,[status(thm)],[35543, 35542, 35245])).
% 17.31/12.52 tff(35545,plain,
% 17.31/12.52 ((~(v193(constB161) <=> v191(constB160))) | (~v193(constB161)) | v191(constB160)),
% 17.31/12.52 inference(tautology,[status(thm)],[])).
% 17.31/12.52 tff(35546,plain,
% 17.31/12.52 (~v193(constB161)),
% 17.31/12.52 inference(unit_resolution,[status(thm)],[35545, 35544, 35243])).
% 17.31/12.52 tff(35547,plain,
% 17.31/12.52 ($false),
% 17.31/12.52 inference(unit_resolution,[status(thm)],[35546, 35239])).
% 17.31/12.52 tff(35548,plain,(~(constB161 = VarCurr!0)), inference(lemma,lemma(discharge,[]))).
% 17.31/12.52 tff(35549,assumption,(constB89 = VarCurr!0), introduced(assumption)).
% 17.31/12.52 tff(35550,plain,
% 17.31/12.52 (v86(constB89) <=> v86(VarCurr!0)),
% 17.31/12.52 inference(monotonicity,[status(thm)],[35549])).
% 17.31/12.52 tff(35551,plain,
% 17.31/12.52 (v86(VarCurr!0) <=> v86(constB89)),
% 17.31/12.52 inference(symmetry,[status(thm)],[35550])).
% 17.31/12.52 tff(35552,plain,
% 17.31/12.52 ((~v86(VarCurr!0)) <=> (~v86(constB89))),
% 17.31/12.52 inference(monotonicity,[status(thm)],[35551])).
% 17.31/12.52 tff(35553,plain,
% 17.31/12.52 (~v86(constB89)),
% 17.31/12.52 inference(modus_ponens,[status(thm)],[20649, 35552])).
% 17.31/12.52 tff(35554,plain,
% 17.31/12.52 (((~![VarCurr: $i] : (v148(VarCurr) | (~v142(VarCurr)))) | (v148(constB89) | (~v142(constB89)))) <=> ((~![VarCurr: $i] : (v148(VarCurr) | (~v142(VarCurr)))) | v148(constB89) | (~v142(constB89)))),
% 17.31/12.52 inference(rewrite,[status(thm)],[])).
% 17.31/12.52 tff(35555,plain,
% 17.31/12.52 ((~![VarCurr: $i] : (v148(VarCurr) | (~v142(VarCurr)))) | (v148(constB89) | (~v142(constB89)))),
% 17.31/12.52 inference(quant_inst,[status(thm)],[])).
% 17.31/12.52 tff(35556,plain,
% 17.31/12.52 ((~![VarCurr: $i] : (v148(VarCurr) | (~v142(VarCurr)))) | v148(constB89) | (~v142(constB89))),
% 17.31/12.52 inference(modus_ponens,[status(thm)],[35555, 35554])).
% 17.31/12.52 tff(35557,plain,
% 17.31/12.52 (v148(constB89) | (~v142(constB89))),
% 17.31/12.52 inference(unit_resolution,[status(thm)],[35556, 23525])).
% 17.31/12.52 tff(35558,plain,
% 17.31/12.52 (v148(constB89)),
% 17.31/12.52 inference(unit_resolution,[status(thm)],[35557, 27493])).
% 17.31/12.52 tff(35559,plain,
% 17.31/12.52 ((~![VarCurr: $i] : (v135(VarCurr) <=> (v136(VarCurr) | v145(VarCurr)))) | (v135(constB89) <=> (v136(constB89) | v145(constB89)))),
% 17.31/12.52 inference(quant_inst,[status(thm)],[])).
% 17.31/12.52 tff(35560,plain,
% 17.31/12.52 (v135(constB89) <=> (v136(constB89) | v145(constB89))),
% 17.31/12.52 inference(unit_resolution,[status(thm)],[35559, 23537])).
% 17.31/12.52 tff(35561,plain,
% 17.31/12.52 ((~![VarCurr: $i] : (v136(VarCurr) <=> (v137(VarCurr) | v142(VarCurr)))) | (v136(constB89) <=> (v137(constB89) | v142(constB89)))),
% 17.31/12.52 inference(quant_inst,[status(thm)],[])).
% 17.31/12.52 tff(35562,plain,
% 17.31/12.52 (v136(constB89) <=> (v137(constB89) | v142(constB89))),
% 17.31/12.52 inference(unit_resolution,[status(thm)],[35561, 23546])).
% 17.31/12.52 tff(35563,plain,
% 17.31/12.52 ((v137(constB89) | v142(constB89)) | (~v142(constB89))),
% 17.31/12.52 inference(tautology,[status(thm)],[])).
% 17.31/12.52 tff(35564,plain,
% 17.31/12.52 (v137(constB89) | v142(constB89)),
% 17.31/12.52 inference(unit_resolution,[status(thm)],[35563, 27493])).
% 17.31/12.52 tff(35565,plain,
% 17.31/12.52 ((~(v136(constB89) <=> (v137(constB89) | v142(constB89)))) | v136(constB89) | (~(v137(constB89) | v142(constB89)))),
% 17.31/12.52 inference(tautology,[status(thm)],[])).
% 17.31/12.52 tff(35566,plain,
% 17.31/12.52 (v136(constB89)),
% 17.31/12.52 inference(unit_resolution,[status(thm)],[35565, 35564, 35562])).
% 17.31/12.52 tff(35567,plain,
% 17.31/12.52 ((v136(constB89) | v145(constB89)) | (~v136(constB89))),
% 17.31/12.52 inference(tautology,[status(thm)],[])).
% 17.31/12.52 tff(35568,plain,
% 17.31/12.52 (v136(constB89) | v145(constB89)),
% 17.31/12.52 inference(unit_resolution,[status(thm)],[35567, 35566])).
% 17.31/12.52 tff(35569,plain,
% 17.31/12.52 ((~(v135(constB89) <=> (v136(constB89) | v145(constB89)))) | v135(constB89) | (~(v136(constB89) | v145(constB89)))),
% 17.31/12.52 inference(tautology,[status(thm)],[])).
% 17.31/12.52 tff(35570,plain,
% 17.31/12.52 (v135(constB89)),
% 17.31/12.52 inference(unit_resolution,[status(thm)],[35569, 35568, 35560])).
% 17.31/12.52 tff(35571,plain,
% 17.31/12.52 (((~![VarNext: $i] : ((~v135(VarNext)) | (v86(VarNext) <=> v148(VarNext)))) | ((~v135(constB89)) | (v86(constB89) <=> v148(constB89)))) <=> ((~![VarNext: $i] : ((~v135(VarNext)) | (v86(VarNext) <=> v148(VarNext)))) | (~v135(constB89)) | (v86(constB89) <=> v148(constB89)))),
% 17.31/12.52 inference(rewrite,[status(thm)],[])).
% 17.31/12.52 tff(35572,plain,
% 17.31/12.52 ((~![VarNext: $i] : ((~v135(VarNext)) | (v86(VarNext) <=> v148(VarNext)))) | ((~v135(constB89)) | (v86(constB89) <=> v148(constB89)))),
% 17.31/12.52 inference(quant_inst,[status(thm)],[])).
% 17.31/12.52 tff(35573,plain,
% 17.31/12.52 ((~![VarNext: $i] : ((~v135(VarNext)) | (v86(VarNext) <=> v148(VarNext)))) | (~v135(constB89)) | (v86(constB89) <=> v148(constB89))),
% 17.31/12.52 inference(modus_ponens,[status(thm)],[35572, 35571])).
% 17.31/12.52 tff(35574,plain,
% 17.31/12.52 ((~v135(constB89)) | (v86(constB89) <=> v148(constB89))),
% 17.31/12.52 inference(unit_resolution,[status(thm)],[35573, 23566])).
% 17.31/12.52 tff(35575,plain,
% 17.31/12.52 (v86(constB89) <=> v148(constB89)),
% 17.31/12.52 inference(unit_resolution,[status(thm)],[35574, 35570])).
% 17.31/12.52 tff(35576,plain,
% 17.31/12.52 ((~(v86(constB89) <=> v148(constB89))) | v86(constB89) | (~v148(constB89))),
% 17.31/12.52 inference(tautology,[status(thm)],[])).
% 17.31/12.52 tff(35577,plain,
% 17.31/12.52 (v86(constB89)),
% 17.31/12.52 inference(unit_resolution,[status(thm)],[35576, 35575, 35558])).
% 17.31/12.52 tff(35578,plain,
% 17.31/12.52 ($false),
% 17.31/12.52 inference(unit_resolution,[status(thm)],[35577, 35553])).
% 17.31/12.52 tff(35579,plain,(~(constB89 = VarCurr!0)), inference(lemma,lemma(discharge,[]))).
% 17.31/12.52 tff(35580,assumption,(constB17 = VarCurr!0), introduced(assumption)).
% 17.31/12.52 tff(35581,plain,
% 17.31/12.52 (v193(constB17) <=> v193(VarCurr!0)),
% 17.31/12.52 inference(monotonicity,[status(thm)],[35580])).
% 17.31/12.52 tff(35582,plain,
% 17.31/12.52 (v193(VarCurr!0) <=> v193(constB17)),
% 17.31/12.52 inference(symmetry,[status(thm)],[35581])).
% 17.31/12.52 tff(35583,plain,
% 17.31/12.52 (v193(constB17)),
% 17.31/12.52 inference(modus_ponens,[status(thm)],[59, 35582])).
% 17.31/12.52 tff(35584,plain,
% 17.31/12.52 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v193(VarNext) <=> v191(VarCurr)))) | ((~nextState(constB16, constB17)) | (v193(constB17) <=> v191(constB16)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v193(VarNext) <=> v191(VarCurr)))) | (~nextState(constB16, constB17)) | (v193(constB17) <=> v191(constB16)))),
% 17.31/12.52 inference(rewrite,[status(thm)],[])).
% 17.31/12.52 tff(35585,plain,
% 17.31/12.52 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v193(VarNext) <=> v191(VarCurr)))) | ((~nextState(constB16, constB17)) | (v193(constB17) <=> v191(constB16)))),
% 17.31/12.52 inference(quant_inst,[status(thm)],[])).
% 17.31/12.52 tff(35586,plain,
% 17.31/12.52 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v193(VarNext) <=> v191(VarCurr)))) | (~nextState(constB16, constB17)) | (v193(constB17) <=> v191(constB16))),
% 17.31/12.52 inference(modus_ponens,[status(thm)],[35585, 35584])).
% 17.31/12.52 tff(35587,plain,
% 17.31/12.52 (v193(constB17) <=> v191(constB16)),
% 17.31/12.52 inference(unit_resolution,[status(thm)],[35586, 4230, 70])).
% 17.31/12.52 tff(35588,plain,
% 17.31/12.52 ((~![VarCurr: $i] : (v191(VarCurr) <=> (v194(VarCurr) | v198(VarCurr)))) | (v191(constB16) <=> (v194(constB16) | v198(constB16)))),
% 17.31/12.52 inference(quant_inst,[status(thm)],[])).
% 17.31/12.52 tff(35589,plain,
% 17.31/12.52 (v191(constB16) <=> (v194(constB16) | v198(constB16))),
% 17.31/12.52 inference(unit_resolution,[status(thm)],[35588, 84])).
% 17.31/12.52 tff(35590,plain,
% 17.31/12.52 ((~![VarCurr: $i] : (v198(VarCurr) <=> (~((~v199(VarCurr)) | (~v200(VarCurr)))))) | (v198(constB16) <=> (~((~v199(constB16)) | (~v200(constB16)))))),
% 17.31/12.52 inference(quant_inst,[status(thm)],[])).
% 17.31/12.52 tff(35591,plain,
% 17.31/12.52 (v198(constB16) <=> (~((~v199(constB16)) | (~v200(constB16))))),
% 17.31/12.52 inference(unit_resolution,[status(thm)],[35590, 96])).
% 17.31/12.52 tff(35592,plain,
% 17.31/12.52 ((~![VarCurr: $i] : (v200(VarCurr) <=> (~((~v197(VarCurr)) | (~v201(VarCurr)))))) | (v200(constB16) <=> (~((~v197(constB16)) | (~v201(constB16)))))),
% 17.31/12.52 inference(quant_inst,[status(thm)],[])).
% 17.31/12.52 tff(35593,plain,
% 17.31/12.52 (v200(constB16) <=> (~((~v197(constB16)) | (~v201(constB16))))),
% 17.31/12.52 inference(unit_resolution,[status(thm)],[35592, 108])).
% 17.31/12.52 tff(35594,plain,
% 17.31/12.52 ((~![VarCurr: $i] : (v197(VarCurr) <=> (~((~v39(VarCurr)) | (~v9(VarCurr)))))) | (v197(constB16) <=> (~((~v39(constB16)) | (~v9(constB16)))))),
% 17.31/12.52 inference(quant_inst,[status(thm)],[])).
% 17.31/12.52 tff(35595,plain,
% 17.31/12.52 (v197(constB16) <=> (~((~v39(constB16)) | (~v9(constB16))))),
% 17.31/12.52 inference(unit_resolution,[status(thm)],[35594, 120])).
% 17.31/12.52 tff(35596,plain,
% 17.31/12.52 ((~![VarCurr: $i] : ((~v39(VarCurr)) <=> v1(VarCurr))) | ((~v39(constB16)) <=> v1(constB16))),
% 17.31/12.52 inference(quant_inst,[status(thm)],[])).
% 17.31/12.52 tff(35597,plain,
% 17.31/12.53 ((~v39(constB16)) <=> v1(constB16)),
% 17.31/12.53 inference(unit_resolution,[status(thm)],[35596, 129])).
% 17.31/12.53 tff(35598,plain,
% 17.31/12.53 ((~((~v39(constB16)) <=> v1(constB16))) | (~v39(constB16)) | (~v1(constB16))),
% 17.31/12.53 inference(tautology,[status(thm)],[])).
% 17.31/12.53 tff(35599,plain,
% 17.31/12.53 ((~((~v39(constB16)) <=> v1(constB16))) | (~v39(constB16))),
% 17.31/12.53 inference(unit_resolution,[status(thm)],[35598, 4292])).
% 17.31/12.53 tff(35600,plain,
% 17.31/12.53 (~v39(constB16)),
% 17.31/12.53 inference(unit_resolution,[status(thm)],[35599, 35597])).
% 17.31/12.53 tff(35601,plain,
% 17.31/12.53 (((~v39(constB16)) | (~v9(constB16))) | v39(constB16)),
% 17.31/12.53 inference(tautology,[status(thm)],[])).
% 17.31/12.53 tff(35602,plain,
% 17.31/12.53 ((~v39(constB16)) | (~v9(constB16))),
% 17.31/12.53 inference(unit_resolution,[status(thm)],[35601, 35600])).
% 17.31/12.53 tff(35603,plain,
% 17.31/12.53 ((~(v197(constB16) <=> (~((~v39(constB16)) | (~v9(constB16)))))) | (~v197(constB16)) | (~((~v39(constB16)) | (~v9(constB16))))),
% 17.31/12.53 inference(tautology,[status(thm)],[])).
% 17.31/12.53 tff(35604,plain,
% 17.31/12.53 ((~(v197(constB16) <=> (~((~v39(constB16)) | (~v9(constB16)))))) | (~v197(constB16))),
% 17.31/12.53 inference(unit_resolution,[status(thm)],[35603, 35602])).
% 17.31/12.53 tff(35605,plain,
% 17.31/12.53 (~v197(constB16)),
% 17.31/12.53 inference(unit_resolution,[status(thm)],[35604, 35595])).
% 17.31/12.53 tff(35606,plain,
% 17.31/12.53 (((~v197(constB16)) | (~v201(constB16))) | v197(constB16)),
% 17.31/12.53 inference(tautology,[status(thm)],[])).
% 17.31/12.53 tff(35607,plain,
% 17.31/12.53 ((~v197(constB16)) | (~v201(constB16))),
% 17.31/12.53 inference(unit_resolution,[status(thm)],[35606, 35605])).
% 17.31/12.53 tff(35608,plain,
% 17.31/12.53 ((~(v200(constB16) <=> (~((~v197(constB16)) | (~v201(constB16)))))) | (~v200(constB16)) | (~((~v197(constB16)) | (~v201(constB16))))),
% 17.31/12.53 inference(tautology,[status(thm)],[])).
% 17.31/12.53 tff(35609,plain,
% 17.31/12.53 ((~(v200(constB16) <=> (~((~v197(constB16)) | (~v201(constB16)))))) | (~v200(constB16))),
% 17.31/12.53 inference(unit_resolution,[status(thm)],[35608, 35607])).
% 17.31/12.53 tff(35610,plain,
% 17.31/12.53 (~v200(constB16)),
% 17.31/12.53 inference(unit_resolution,[status(thm)],[35609, 35593])).
% 17.31/12.53 tff(35611,plain,
% 17.31/12.53 (((~v199(constB16)) | (~v200(constB16))) | v200(constB16)),
% 17.31/12.53 inference(tautology,[status(thm)],[])).
% 17.31/12.53 tff(35612,plain,
% 17.31/12.53 ((~v199(constB16)) | (~v200(constB16))),
% 17.31/12.53 inference(unit_resolution,[status(thm)],[35611, 35610])).
% 17.31/12.53 tff(35613,plain,
% 17.31/12.53 ((~(v198(constB16) <=> (~((~v199(constB16)) | (~v200(constB16)))))) | (~v198(constB16)) | (~((~v199(constB16)) | (~v200(constB16))))),
% 17.31/12.53 inference(tautology,[status(thm)],[])).
% 17.31/12.53 tff(35614,plain,
% 17.31/12.53 (~v198(constB16)),
% 17.31/12.53 inference(unit_resolution,[status(thm)],[35613, 35612, 35591])).
% 17.31/12.53 tff(35615,plain,
% 17.31/12.53 (((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB16) <=> (~((~v157(constB16)) | (~v195(constB16)))))) <=> ((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB16) <=> (~((~v157(constB16)) | (~v195(constB16))))))),
% 17.31/12.53 inference(rewrite,[status(thm)],[])).
% 17.31/12.53 tff(35616,plain,
% 17.31/12.53 ((v194(constB16) <=> (~((~v195(constB16)) | (~v157(constB16))))) <=> (v194(constB16) <=> (~((~v157(constB16)) | (~v195(constB16)))))),
% 17.31/12.53 inference(rewrite,[status(thm)],[])).
% 17.31/12.53 tff(35617,plain,
% 17.31/12.53 (((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB16) <=> (~((~v195(constB16)) | (~v157(constB16)))))) <=> ((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB16) <=> (~((~v157(constB16)) | (~v195(constB16))))))),
% 17.31/12.53 inference(monotonicity,[status(thm)],[35616])).
% 17.31/12.53 tff(35618,plain,
% 17.31/12.53 (((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB16) <=> (~((~v195(constB16)) | (~v157(constB16)))))) <=> ((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB16) <=> (~((~v157(constB16)) | (~v195(constB16))))))),
% 17.31/12.53 inference(transitivity,[status(thm)],[35617, 35615])).
% 17.31/12.53 tff(35619,plain,
% 17.31/12.53 ((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB16) <=> (~((~v195(constB16)) | (~v157(constB16)))))),
% 17.31/12.53 inference(quant_inst,[status(thm)],[])).
% 17.31/12.53 tff(35620,plain,
% 17.31/12.53 ((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB16) <=> (~((~v157(constB16)) | (~v195(constB16)))))),
% 17.31/12.53 inference(modus_ponens,[status(thm)],[35619, 35618])).
% 17.31/12.53 tff(35621,plain,
% 17.31/12.53 (v194(constB16) <=> (~((~v157(constB16)) | (~v195(constB16))))),
% 17.31/12.53 inference(unit_resolution,[status(thm)],[35620, 161])).
% 17.31/12.53 tff(35622,plain,
% 17.31/12.53 ((~![VarNext: $i] : (v157(VarNext) <=> v193(VarNext))) | (v157(constB16) <=> v193(constB16))),
% 17.31/12.53 inference(quant_inst,[status(thm)],[])).
% 17.31/12.53 tff(35623,plain,
% 17.31/12.53 (v157(constB16) <=> v193(constB16)),
% 17.31/12.53 inference(unit_resolution,[status(thm)],[35622, 13])).
% 17.31/12.53 tff(35624,plain,
% 17.31/12.53 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v193(VarNext) <=> v191(VarCurr)))) | ((~nextState(constB15, constB16)) | (v193(constB16) <=> v191(constB15)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v193(VarNext) <=> v191(VarCurr)))) | (~nextState(constB15, constB16)) | (v193(constB16) <=> v191(constB15)))),
% 17.31/12.53 inference(rewrite,[status(thm)],[])).
% 17.31/12.53 tff(35625,plain,
% 17.31/12.53 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v193(VarNext) <=> v191(VarCurr)))) | ((~nextState(constB15, constB16)) | (v193(constB16) <=> v191(constB15)))),
% 17.31/12.53 inference(quant_inst,[status(thm)],[])).
% 17.31/12.53 tff(35626,plain,
% 17.31/12.53 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v193(VarNext) <=> v191(VarCurr)))) | (~nextState(constB15, constB16)) | (v193(constB16) <=> v191(constB15))),
% 17.31/12.53 inference(modus_ponens,[status(thm)],[35625, 35624])).
% 17.31/12.53 tff(35627,plain,
% 17.31/12.53 (v193(constB16) <=> v191(constB15)),
% 17.31/12.53 inference(unit_resolution,[status(thm)],[35626, 4262, 70])).
% 17.31/12.53 tff(35628,plain,
% 17.31/12.53 ((~![VarCurr: $i] : (v191(VarCurr) <=> (v194(VarCurr) | v198(VarCurr)))) | (v191(constB15) <=> (v194(constB15) | v198(constB15)))),
% 17.31/12.53 inference(quant_inst,[status(thm)],[])).
% 17.31/12.53 tff(35629,plain,
% 17.31/12.53 (v191(constB15) <=> (v194(constB15) | v198(constB15))),
% 17.31/12.53 inference(unit_resolution,[status(thm)],[35628, 84])).
% 17.31/12.53 tff(35630,plain,
% 17.31/12.53 (((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB15) <=> (~((~v157(constB15)) | (~v195(constB15)))))) <=> ((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB15) <=> (~((~v157(constB15)) | (~v195(constB15))))))),
% 17.31/12.53 inference(rewrite,[status(thm)],[])).
% 17.31/12.53 tff(35631,plain,
% 17.31/12.53 ((v194(constB15) <=> (~((~v195(constB15)) | (~v157(constB15))))) <=> (v194(constB15) <=> (~((~v157(constB15)) | (~v195(constB15)))))),
% 17.31/12.53 inference(rewrite,[status(thm)],[])).
% 17.31/12.53 tff(35632,plain,
% 17.31/12.53 (((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB15) <=> (~((~v195(constB15)) | (~v157(constB15)))))) <=> ((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB15) <=> (~((~v157(constB15)) | (~v195(constB15))))))),
% 17.31/12.53 inference(monotonicity,[status(thm)],[35631])).
% 17.31/12.53 tff(35633,plain,
% 17.31/12.53 (((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB15) <=> (~((~v195(constB15)) | (~v157(constB15)))))) <=> ((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB15) <=> (~((~v157(constB15)) | (~v195(constB15))))))),
% 17.31/12.53 inference(transitivity,[status(thm)],[35632, 35630])).
% 17.31/12.53 tff(35634,plain,
% 17.31/12.53 ((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB15) <=> (~((~v195(constB15)) | (~v157(constB15)))))),
% 17.31/12.53 inference(quant_inst,[status(thm)],[])).
% 17.31/12.53 tff(35635,plain,
% 17.31/12.53 ((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB15) <=> (~((~v157(constB15)) | (~v195(constB15)))))),
% 17.31/12.53 inference(modus_ponens,[status(thm)],[35634, 35633])).
% 17.31/12.53 tff(35636,plain,
% 17.31/12.53 (v194(constB15) <=> (~((~v157(constB15)) | (~v195(constB15))))),
% 17.31/12.53 inference(unit_resolution,[status(thm)],[35635, 161])).
% 17.31/12.53 tff(35637,plain,
% 17.31/12.53 ((~![VarCurr: $i] : ((~v195(VarCurr)) <=> v196(VarCurr))) | ((~v195(constB15)) <=> v196(constB15))),
% 17.31/12.53 inference(quant_inst,[status(thm)],[])).
% 17.31/12.53 tff(35638,plain,
% 17.31/12.53 ((~v195(constB15)) <=> v196(constB15)),
% 17.31/12.53 inference(unit_resolution,[status(thm)],[35637, 193])).
% 17.31/12.53 tff(35639,plain,
% 17.31/12.53 ((~![VarCurr: $i] : (v196(VarCurr) <=> (v197(VarCurr) | v26(VarCurr)))) | (v196(constB15) <=> (v197(constB15) | v26(constB15)))),
% 17.31/12.53 inference(quant_inst,[status(thm)],[])).
% 17.31/12.53 tff(35640,plain,
% 17.31/12.53 (v196(constB15) <=> (v197(constB15) | v26(constB15))),
% 17.31/12.53 inference(unit_resolution,[status(thm)],[35639, 202])).
% 17.31/12.53 tff(35641,plain,
% 17.31/12.53 ((~![VarCurr: $i] : (v197(VarCurr) <=> (~((~v39(VarCurr)) | (~v9(VarCurr)))))) | (v197(constB15) <=> (~((~v39(constB15)) | (~v9(constB15)))))),
% 17.31/12.53 inference(quant_inst,[status(thm)],[])).
% 17.31/12.53 tff(35642,plain,
% 17.31/12.53 (v197(constB15) <=> (~((~v39(constB15)) | (~v9(constB15))))),
% 17.31/12.53 inference(unit_resolution,[status(thm)],[35641, 120])).
% 17.31/12.53 tff(35643,plain,
% 17.31/12.53 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | ((~nextState(constB15, constB16)) | (v13(constB16) <=> v9(constB15)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | (~nextState(constB15, constB16)) | (v13(constB16) <=> v9(constB15)))),
% 17.31/12.53 inference(rewrite,[status(thm)],[])).
% 17.31/12.53 tff(35644,plain,
% 17.31/12.53 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | ((~nextState(constB15, constB16)) | (v13(constB16) <=> v9(constB15)))),
% 17.31/12.53 inference(quant_inst,[status(thm)],[])).
% 17.31/12.53 tff(35645,plain,
% 17.31/12.53 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | (~nextState(constB15, constB16)) | (v13(constB16) <=> v9(constB15))),
% 17.31/12.53 inference(modus_ponens,[status(thm)],[35644, 35643])).
% 17.31/12.53 tff(35646,plain,
% 17.31/12.53 (v13(constB16) <=> v9(constB15)),
% 17.31/12.53 inference(unit_resolution,[status(thm)],[35645, 4262, 216])).
% 17.31/12.53 tff(35647,plain,
% 17.31/12.53 ((~![VarNext: $i] : (v6(VarNext) <=> v13(VarNext))) | (v6(constB16) <=> v13(constB16))),
% 17.31/12.53 inference(quant_inst,[status(thm)],[])).
% 17.31/12.53 tff(35648,plain,
% 17.31/12.53 (v6(constB16) <=> v13(constB16)),
% 17.31/12.53 inference(unit_resolution,[status(thm)],[35647, 230])).
% 17.31/12.53 tff(35649,plain,
% 17.31/12.53 ((~![VarCurr: $i] : ((~v21(VarCurr)) <=> v6(VarCurr))) | ((~v21(constB16)) <=> v6(constB16))),
% 17.31/12.53 inference(quant_inst,[status(thm)],[])).
% 17.31/12.53 tff(35650,plain,
% 17.31/12.53 ((~v21(constB16)) <=> v6(constB16)),
% 17.31/12.53 inference(unit_resolution,[status(thm)],[35649, 239])).
% 17.31/12.53 tff(35651,plain,
% 17.31/12.53 ((~![VarCurr: $i] : (v19(VarCurr) <=> (v20(VarCurr) | v21(VarCurr)))) | (v19(constB16) <=> (v20(constB16) | v21(constB16)))),
% 17.31/12.53 inference(quant_inst,[status(thm)],[])).
% 17.31/12.53 tff(35652,plain,
% 17.31/12.53 (v19(constB16) <=> (v20(constB16) | v21(constB16))),
% 17.31/12.53 inference(unit_resolution,[status(thm)],[35651, 248])).
% 17.31/12.53 tff(35653,plain,
% 17.31/12.53 ((~![VarCurr: $i] : (v18(VarCurr) <=> (~((~v19(VarCurr)) | (~v22(VarCurr)))))) | (v18(constB16) <=> (~((~v19(constB16)) | (~v22(constB16)))))),
% 17.31/12.53 inference(quant_inst,[status(thm)],[])).
% 17.31/12.53 tff(35654,plain,
% 17.31/12.53 (v18(constB16) <=> (~((~v19(constB16)) | (~v22(constB16))))),
% 17.31/12.53 inference(unit_resolution,[status(thm)],[35653, 260])).
% 17.31/12.53 tff(35655,plain,
% 17.31/12.53 ((~![VarCurr: $i] : ((~v4(VarCurr)) <=> v18(VarCurr))) | ((~v4(constB16)) <=> v18(constB16))),
% 17.31/12.53 inference(quant_inst,[status(thm)],[])).
% 17.31/12.53 tff(35656,plain,
% 17.31/12.53 ((~v4(constB16)) <=> v18(constB16)),
% 17.31/12.53 inference(unit_resolution,[status(thm)],[35655, 269])).
% 17.31/12.53 tff(35657,plain,
% 17.31/12.53 ((~![VarCurr: $i] : v4(VarCurr)) | v4(constB16)),
% 17.31/12.53 inference(quant_inst,[status(thm)],[])).
% 17.31/12.53 tff(35658,plain,
% 17.31/12.53 (v4(constB16)),
% 17.31/12.53 inference(unit_resolution,[status(thm)],[35657, 278])).
% 17.31/12.53 tff(35659,plain,
% 17.31/12.53 ((~((~v4(constB16)) <=> v18(constB16))) | (~v4(constB16)) | (~v18(constB16))),
% 17.31/12.53 inference(tautology,[status(thm)],[])).
% 17.31/12.53 tff(35660,plain,
% 17.31/12.53 (~v18(constB16)),
% 17.31/12.53 inference(unit_resolution,[status(thm)],[35659, 35658, 35656])).
% 17.31/12.53 tff(35661,plain,
% 17.31/12.53 ((~(v18(constB16) <=> (~((~v19(constB16)) | (~v22(constB16)))))) | v18(constB16) | ((~v19(constB16)) | (~v22(constB16)))),
% 17.31/12.53 inference(tautology,[status(thm)],[])).
% 17.31/12.53 tff(35662,plain,
% 17.31/12.53 ((~v19(constB16)) | (~v22(constB16))),
% 17.31/12.53 inference(unit_resolution,[status(thm)],[35661, 35660, 35654])).
% 17.31/12.53 tff(35663,plain,
% 17.31/12.53 ((~![VarCurr: $i] : (v22(VarCurr) <=> (v1(VarCurr) | v6(VarCurr)))) | (v22(constB16) <=> (v1(constB16) | v6(constB16)))),
% 17.31/12.53 inference(quant_inst,[status(thm)],[])).
% 17.31/12.53 tff(35664,plain,
% 17.31/12.53 (v22(constB16) <=> (v1(constB16) | v6(constB16))),
% 17.31/12.53 inference(unit_resolution,[status(thm)],[35663, 291])).
% 17.31/12.53 tff(35665,plain,
% 17.31/12.53 ((v1(constB16) | v6(constB16)) | (~v1(constB16))),
% 17.31/12.53 inference(tautology,[status(thm)],[])).
% 17.31/12.53 tff(35666,plain,
% 17.31/12.53 (v1(constB16) | v6(constB16)),
% 17.31/12.53 inference(unit_resolution,[status(thm)],[35665, 4292])).
% 17.31/12.53 tff(35667,plain,
% 17.31/12.53 ((~(v22(constB16) <=> (v1(constB16) | v6(constB16)))) | v22(constB16) | (~(v1(constB16) | v6(constB16)))),
% 17.31/12.53 inference(tautology,[status(thm)],[])).
% 17.31/12.53 tff(35668,plain,
% 17.31/12.53 ((~(v22(constB16) <=> (v1(constB16) | v6(constB16)))) | v22(constB16)),
% 17.31/12.53 inference(unit_resolution,[status(thm)],[35667, 35666])).
% 17.31/12.53 tff(35669,plain,
% 17.31/12.53 (v22(constB16)),
% 17.31/12.53 inference(unit_resolution,[status(thm)],[35668, 35664])).
% 17.31/12.53 tff(35670,plain,
% 17.31/12.53 ((~((~v19(constB16)) | (~v22(constB16)))) | (~v19(constB16)) | (~v22(constB16))),
% 17.31/12.53 inference(tautology,[status(thm)],[])).
% 17.31/12.53 tff(35671,plain,
% 17.31/12.53 ((~((~v19(constB16)) | (~v22(constB16)))) | (~v19(constB16))),
% 17.31/12.53 inference(unit_resolution,[status(thm)],[35670, 35669])).
% 17.31/12.53 tff(35672,plain,
% 17.31/12.53 (~v19(constB16)),
% 17.31/12.53 inference(unit_resolution,[status(thm)],[35671, 35662])).
% 17.31/12.53 tff(35673,plain,
% 17.31/12.53 ((~(v19(constB16) <=> (v20(constB16) | v21(constB16)))) | v19(constB16) | (~(v20(constB16) | v21(constB16)))),
% 17.31/12.53 inference(tautology,[status(thm)],[])).
% 17.31/12.53 tff(35674,plain,
% 17.31/12.53 (~(v20(constB16) | v21(constB16))),
% 17.31/12.53 inference(unit_resolution,[status(thm)],[35673, 35672, 35652])).
% 17.31/12.53 tff(35675,plain,
% 17.31/12.53 ((v20(constB16) | v21(constB16)) | (~v21(constB16))),
% 17.31/12.53 inference(tautology,[status(thm)],[])).
% 17.31/12.53 tff(35676,plain,
% 17.31/12.53 (~v21(constB16)),
% 17.31/12.53 inference(unit_resolution,[status(thm)],[35675, 35674])).
% 17.31/12.53 tff(35677,plain,
% 17.31/12.53 ((~((~v21(constB16)) <=> v6(constB16))) | v21(constB16) | v6(constB16)),
% 17.31/12.53 inference(tautology,[status(thm)],[])).
% 17.31/12.53 tff(35678,plain,
% 17.31/12.53 (v6(constB16)),
% 17.31/12.53 inference(unit_resolution,[status(thm)],[35677, 35676, 35650])).
% 17.31/12.53 tff(35679,plain,
% 17.31/12.53 ((~(v6(constB16) <=> v13(constB16))) | (~v6(constB16)) | v13(constB16)),
% 17.31/12.53 inference(tautology,[status(thm)],[])).
% 17.31/12.53 tff(35680,plain,
% 17.31/12.53 (v13(constB16)),
% 17.31/12.53 inference(unit_resolution,[status(thm)],[35679, 35678, 35648])).
% 17.31/12.53 tff(35681,plain,
% 17.31/12.53 ((~(v13(constB16) <=> v9(constB15))) | (~v13(constB16)) | v9(constB15)),
% 17.31/12.53 inference(tautology,[status(thm)],[])).
% 17.31/12.53 tff(35682,plain,
% 17.31/12.53 (v9(constB15)),
% 17.31/12.53 inference(unit_resolution,[status(thm)],[35681, 35680, 35646])).
% 17.31/12.53 tff(35683,plain,
% 17.31/12.53 ((~![VarCurr: $i] : ((~v39(VarCurr)) <=> v1(VarCurr))) | ((~v39(constB15)) <=> v1(constB15))),
% 17.31/12.53 inference(quant_inst,[status(thm)],[])).
% 17.31/12.53 tff(35684,plain,
% 17.31/12.53 ((~v39(constB15)) <=> v1(constB15)),
% 17.31/12.53 inference(unit_resolution,[status(thm)],[35683, 129])).
% 17.31/12.53 tff(35685,plain,
% 17.31/12.53 ((~((~v39(constB15)) <=> v1(constB15))) | v39(constB15) | v1(constB15)),
% 17.31/12.53 inference(tautology,[status(thm)],[])).
% 17.31/12.53 tff(35686,plain,
% 17.31/12.53 ((~((~v39(constB15)) <=> v1(constB15))) | v39(constB15)),
% 17.31/12.53 inference(unit_resolution,[status(thm)],[35685, 4284])).
% 17.31/12.53 tff(35687,plain,
% 17.31/12.53 (v39(constB15)),
% 17.31/12.53 inference(unit_resolution,[status(thm)],[35686, 35684])).
% 17.31/12.53 tff(35688,plain,
% 17.31/12.53 ((~((~v39(constB15)) | (~v9(constB15)))) | (~v39(constB15)) | (~v9(constB15))),
% 17.31/12.53 inference(tautology,[status(thm)],[])).
% 17.31/12.53 tff(35689,plain,
% 17.31/12.53 ((~((~v39(constB15)) | (~v9(constB15)))) | (~v9(constB15))),
% 17.31/12.53 inference(unit_resolution,[status(thm)],[35688, 35687])).
% 17.31/12.53 tff(35690,plain,
% 17.31/12.53 (~((~v39(constB15)) | (~v9(constB15)))),
% 17.31/12.53 inference(unit_resolution,[status(thm)],[35689, 35682])).
% 17.31/12.53 tff(35691,plain,
% 17.31/12.53 ((~(v197(constB15) <=> (~((~v39(constB15)) | (~v9(constB15)))))) | v197(constB15) | ((~v39(constB15)) | (~v9(constB15)))),
% 17.31/12.53 inference(tautology,[status(thm)],[])).
% 17.31/12.53 tff(35692,plain,
% 17.31/12.53 (v197(constB15)),
% 17.31/12.53 inference(unit_resolution,[status(thm)],[35691, 35690, 35642])).
% 17.31/12.53 tff(35693,plain,
% 17.31/12.53 ((v197(constB15) | v26(constB15)) | (~v197(constB15))),
% 17.31/12.53 inference(tautology,[status(thm)],[])).
% 17.31/12.53 tff(35694,plain,
% 17.31/12.53 (v197(constB15) | v26(constB15)),
% 17.31/12.53 inference(unit_resolution,[status(thm)],[35693, 35692])).
% 17.31/12.53 tff(35695,plain,
% 17.31/12.53 ((~(v196(constB15) <=> (v197(constB15) | v26(constB15)))) | v196(constB15) | (~(v197(constB15) | v26(constB15)))),
% 17.31/12.53 inference(tautology,[status(thm)],[])).
% 17.31/12.53 tff(35696,plain,
% 17.31/12.53 (v196(constB15)),
% 17.31/12.53 inference(unit_resolution,[status(thm)],[35695, 35694, 35640])).
% 17.31/12.53 tff(35697,plain,
% 17.31/12.53 ((~((~v195(constB15)) <=> v196(constB15))) | (~v195(constB15)) | (~v196(constB15))),
% 17.31/12.53 inference(tautology,[status(thm)],[])).
% 17.31/12.53 tff(35698,plain,
% 17.31/12.53 (~v195(constB15)),
% 17.31/12.53 inference(unit_resolution,[status(thm)],[35697, 35696, 35638])).
% 17.31/12.53 tff(35699,plain,
% 17.31/12.53 (((~v157(constB15)) | (~v195(constB15))) | v195(constB15)),
% 17.31/12.53 inference(tautology,[status(thm)],[])).
% 17.31/12.53 tff(35700,plain,
% 17.31/12.53 ((~v157(constB15)) | (~v195(constB15))),
% 17.31/12.53 inference(unit_resolution,[status(thm)],[35699, 35698])).
% 17.31/12.53 tff(35701,plain,
% 17.31/12.53 ((~(v194(constB15) <=> (~((~v157(constB15)) | (~v195(constB15)))))) | (~v194(constB15)) | (~((~v157(constB15)) | (~v195(constB15))))),
% 17.31/12.53 inference(tautology,[status(thm)],[])).
% 17.31/12.53 tff(35702,plain,
% 17.31/12.53 (~v194(constB15)),
% 17.31/12.53 inference(unit_resolution,[status(thm)],[35701, 35700, 35636])).
% 17.31/12.53 tff(35703,plain,
% 17.31/12.53 ((~![VarCurr: $i] : (v198(VarCurr) <=> (~((~v199(VarCurr)) | (~v200(VarCurr)))))) | (v198(constB15) <=> (~((~v199(constB15)) | (~v200(constB15)))))),
% 17.31/12.53 inference(quant_inst,[status(thm)],[])).
% 17.31/12.53 tff(35704,plain,
% 17.31/12.53 (v198(constB15) <=> (~((~v199(constB15)) | (~v200(constB15))))),
% 17.31/12.53 inference(unit_resolution,[status(thm)],[35703, 96])).
% 17.31/12.53 tff(35705,plain,
% 17.31/12.53 ((~![VarCurr: $i] : (v200(VarCurr) <=> (~((~v197(VarCurr)) | (~v201(VarCurr)))))) | (v200(constB15) <=> (~((~v197(constB15)) | (~v201(constB15)))))),
% 17.31/12.53 inference(quant_inst,[status(thm)],[])).
% 17.31/12.53 tff(35706,plain,
% 17.31/12.53 (v200(constB15) <=> (~((~v197(constB15)) | (~v201(constB15))))),
% 17.31/12.53 inference(unit_resolution,[status(thm)],[35705, 108])).
% 17.31/12.53 tff(35707,plain,
% 17.31/12.53 ((~![VarCurr: $i] : (v201(VarCurr) <=> (~((~v159(VarCurr)) | (~v161(VarCurr)))))) | (v201(constB15) <=> (~((~v159(constB15)) | (~v161(constB15)))))),
% 17.31/12.53 inference(quant_inst,[status(thm)],[])).
% 17.31/12.53 tff(35708,plain,
% 17.31/12.53 (v201(constB15) <=> (~((~v159(constB15)) | (~v161(constB15))))),
% 17.31/12.53 inference(unit_resolution,[status(thm)],[35707, 348])).
% 17.31/12.53 tff(35709,plain,
% 17.31/12.53 ((~![VarCurr: $i] : (v161(VarCurr) <=> v163(VarCurr))) | (v161(constB15) <=> v163(constB15))),
% 17.31/12.53 inference(quant_inst,[status(thm)],[])).
% 17.31/12.53 tff(35710,plain,
% 17.31/12.53 (v161(constB15) <=> v163(constB15)),
% 17.31/12.53 inference(unit_resolution,[status(thm)],[35709, 357])).
% 17.31/12.53 tff(35711,plain,
% 17.31/12.53 ((~![VarCurr: $i] : (v171(VarCurr) <=> (v142(VarCurr) | v150(VarCurr)))) | (v171(constB15) <=> (v142(constB15) | v150(constB15)))),
% 17.31/12.53 inference(quant_inst,[status(thm)],[])).
% 17.31/12.53 tff(35712,plain,
% 17.31/12.53 (v171(constB15) <=> (v142(constB15) | v150(constB15))),
% 17.31/12.53 inference(unit_resolution,[status(thm)],[35711, 369])).
% 17.31/12.53 tff(35713,plain,
% 17.31/12.53 ((v142(constB15) | v150(constB15)) | (~v142(constB15))),
% 17.31/12.53 inference(tautology,[status(thm)],[])).
% 17.31/12.53 tff(35714,plain,
% 17.31/12.53 (v142(constB15) | v150(constB15)),
% 17.31/12.54 inference(unit_resolution,[status(thm)],[35713, 34236])).
% 17.31/12.54 tff(35715,plain,
% 17.31/12.54 ((~(v171(constB15) <=> (v142(constB15) | v150(constB15)))) | v171(constB15) | (~(v142(constB15) | v150(constB15)))),
% 17.31/12.54 inference(tautology,[status(thm)],[])).
% 17.31/12.54 tff(35716,plain,
% 17.31/12.54 (v171(constB15)),
% 17.31/12.54 inference(unit_resolution,[status(thm)],[35715, 35714, 35712])).
% 17.31/12.54 tff(35717,plain,
% 17.31/12.54 (((~![VarCurr: $i] : ((~v171(VarCurr)) | (~v170(VarCurr)))) | ((~v170(constB15)) | (~v171(constB15)))) <=> ((~![VarCurr: $i] : ((~v171(VarCurr)) | (~v170(VarCurr)))) | (~v170(constB15)) | (~v171(constB15)))),
% 17.31/12.54 inference(rewrite,[status(thm)],[])).
% 17.31/12.54 tff(35718,plain,
% 17.31/12.54 (((~v171(constB15)) | (~v170(constB15))) <=> ((~v170(constB15)) | (~v171(constB15)))),
% 17.31/12.54 inference(rewrite,[status(thm)],[])).
% 17.31/12.54 tff(35719,plain,
% 17.31/12.54 (((~![VarCurr: $i] : ((~v171(VarCurr)) | (~v170(VarCurr)))) | ((~v171(constB15)) | (~v170(constB15)))) <=> ((~![VarCurr: $i] : ((~v171(VarCurr)) | (~v170(VarCurr)))) | ((~v170(constB15)) | (~v171(constB15))))),
% 17.31/12.54 inference(monotonicity,[status(thm)],[35718])).
% 17.31/12.54 tff(35720,plain,
% 17.31/12.54 (((~![VarCurr: $i] : ((~v171(VarCurr)) | (~v170(VarCurr)))) | ((~v171(constB15)) | (~v170(constB15)))) <=> ((~![VarCurr: $i] : ((~v171(VarCurr)) | (~v170(VarCurr)))) | (~v170(constB15)) | (~v171(constB15)))),
% 17.31/12.54 inference(transitivity,[status(thm)],[35719, 35717])).
% 17.31/12.54 tff(35721,plain,
% 17.31/12.54 ((~![VarCurr: $i] : ((~v171(VarCurr)) | (~v170(VarCurr)))) | ((~v171(constB15)) | (~v170(constB15)))),
% 17.31/12.54 inference(quant_inst,[status(thm)],[])).
% 17.31/12.54 tff(35722,plain,
% 17.31/12.54 ((~![VarCurr: $i] : ((~v171(VarCurr)) | (~v170(VarCurr)))) | (~v170(constB15)) | (~v171(constB15))),
% 17.31/12.54 inference(modus_ponens,[status(thm)],[35721, 35720])).
% 17.31/12.54 tff(35723,plain,
% 17.31/12.54 ((~v170(constB15)) | (~v171(constB15))),
% 17.31/12.54 inference(unit_resolution,[status(thm)],[35722, 13061])).
% 17.31/12.54 tff(35724,plain,
% 17.31/12.54 (~v170(constB15)),
% 17.31/12.54 inference(unit_resolution,[status(thm)],[35723, 35716])).
% 17.31/12.54 tff(35725,plain,
% 17.31/12.54 ((~![VarCurr: $i] : (v166(VarCurr) <=> (v145(VarCurr) | v167(VarCurr)))) | (v166(constB15) <=> (v145(constB15) | v167(constB15)))),
% 17.31/12.54 inference(quant_inst,[status(thm)],[])).
% 17.31/12.54 tff(35726,plain,
% 17.31/12.54 (v166(constB15) <=> (v145(constB15) | v167(constB15))),
% 17.31/12.54 inference(unit_resolution,[status(thm)],[35725, 13079])).
% 17.31/12.54 tff(35727,plain,
% 17.31/12.54 ((~![VarCurr: $i] : (v167(VarCurr) <=> (v142(VarCurr) | v168(VarCurr)))) | (v167(constB15) <=> (v142(constB15) | v168(constB15)))),
% 17.31/12.54 inference(quant_inst,[status(thm)],[])).
% 17.31/12.54 tff(35728,plain,
% 17.31/12.54 (v167(constB15) <=> (v142(constB15) | v168(constB15))),
% 17.31/12.54 inference(unit_resolution,[status(thm)],[35727, 13091])).
% 17.31/12.54 tff(35729,plain,
% 17.31/12.54 ((v142(constB15) | v168(constB15)) | (~v142(constB15))),
% 17.31/12.54 inference(tautology,[status(thm)],[])).
% 17.31/12.54 tff(35730,plain,
% 17.31/12.54 (v142(constB15) | v168(constB15)),
% 17.31/12.54 inference(unit_resolution,[status(thm)],[35729, 34236])).
% 17.31/12.54 tff(35731,plain,
% 17.31/12.54 ((~(v167(constB15) <=> (v142(constB15) | v168(constB15)))) | v167(constB15) | (~(v142(constB15) | v168(constB15)))),
% 17.31/12.54 inference(tautology,[status(thm)],[])).
% 17.31/12.54 tff(35732,plain,
% 17.31/12.54 (v167(constB15)),
% 17.31/12.54 inference(unit_resolution,[status(thm)],[35731, 35730, 35728])).
% 17.31/12.54 tff(35733,plain,
% 17.31/12.54 ((v145(constB15) | v167(constB15)) | (~v167(constB15))),
% 17.31/12.54 inference(tautology,[status(thm)],[])).
% 17.31/12.54 tff(35734,plain,
% 17.31/12.54 (v145(constB15) | v167(constB15)),
% 17.31/12.54 inference(unit_resolution,[status(thm)],[35733, 35732])).
% 17.31/12.54 tff(35735,plain,
% 17.31/12.54 ((~(v166(constB15) <=> (v145(constB15) | v167(constB15)))) | v166(constB15) | (~(v145(constB15) | v167(constB15)))),
% 17.31/12.54 inference(tautology,[status(thm)],[])).
% 17.31/12.54 tff(35736,plain,
% 17.31/12.54 (v166(constB15)),
% 17.31/12.54 inference(unit_resolution,[status(thm)],[35735, 35734, 35726])).
% 17.31/12.54 tff(35737,plain,
% 17.31/12.54 (((~![VarNext: $i] : ((~v166(VarNext)) | (v163(VarNext) <=> v170(VarNext)))) | ((~v166(constB15)) | (v163(constB15) <=> v170(constB15)))) <=> ((~![VarNext: $i] : ((~v166(VarNext)) | (v163(VarNext) <=> v170(VarNext)))) | (~v166(constB15)) | (v163(constB15) <=> v170(constB15)))),
% 17.31/12.54 inference(rewrite,[status(thm)],[])).
% 17.31/12.54 tff(35738,plain,
% 17.31/12.54 ((~![VarNext: $i] : ((~v166(VarNext)) | (v163(VarNext) <=> v170(VarNext)))) | ((~v166(constB15)) | (v163(constB15) <=> v170(constB15)))),
% 17.31/12.54 inference(quant_inst,[status(thm)],[])).
% 17.31/12.54 tff(35739,plain,
% 17.31/12.54 ((~![VarNext: $i] : ((~v166(VarNext)) | (v163(VarNext) <=> v170(VarNext)))) | (~v166(constB15)) | (v163(constB15) <=> v170(constB15))),
% 17.31/12.54 inference(modus_ponens,[status(thm)],[35738, 35737])).
% 17.31/12.54 tff(35740,plain,
% 17.31/12.54 ((~v166(constB15)) | (v163(constB15) <=> v170(constB15))),
% 17.31/12.54 inference(unit_resolution,[status(thm)],[35739, 13111])).
% 17.31/12.54 tff(35741,plain,
% 17.31/12.54 (v163(constB15) <=> v170(constB15)),
% 17.31/12.54 inference(unit_resolution,[status(thm)],[35740, 35736])).
% 17.31/12.54 tff(35742,plain,
% 17.31/12.54 ((~(v163(constB15) <=> v170(constB15))) | (~v163(constB15)) | v170(constB15)),
% 17.31/12.54 inference(tautology,[status(thm)],[])).
% 17.31/12.54 tff(35743,plain,
% 17.31/12.54 (~v163(constB15)),
% 17.31/12.54 inference(unit_resolution,[status(thm)],[35742, 35741, 35724])).
% 17.31/12.54 tff(35744,plain,
% 17.31/12.54 ((~(v161(constB15) <=> v163(constB15))) | (~v161(constB15)) | v163(constB15)),
% 17.31/12.54 inference(tautology,[status(thm)],[])).
% 17.31/12.54 tff(35745,plain,
% 17.31/12.54 (~v161(constB15)),
% 17.31/12.54 inference(unit_resolution,[status(thm)],[35744, 35743, 35710])).
% 17.31/12.54 tff(35746,plain,
% 17.31/12.54 (((~v159(constB15)) | (~v161(constB15))) | v161(constB15)),
% 17.31/12.54 inference(tautology,[status(thm)],[])).
% 17.31/12.54 tff(35747,plain,
% 17.31/12.54 ((~v159(constB15)) | (~v161(constB15))),
% 17.31/12.54 inference(unit_resolution,[status(thm)],[35746, 35745])).
% 17.31/12.54 tff(35748,plain,
% 17.31/12.54 ((~(v201(constB15) <=> (~((~v159(constB15)) | (~v161(constB15)))))) | (~v201(constB15)) | (~((~v159(constB15)) | (~v161(constB15))))),
% 17.31/12.54 inference(tautology,[status(thm)],[])).
% 17.31/12.54 tff(35749,plain,
% 17.31/12.54 (~v201(constB15)),
% 17.31/12.54 inference(unit_resolution,[status(thm)],[35748, 35747, 35708])).
% 17.31/12.54 tff(35750,plain,
% 17.31/12.54 (((~v197(constB15)) | (~v201(constB15))) | v201(constB15)),
% 17.31/12.54 inference(tautology,[status(thm)],[])).
% 17.31/12.54 tff(35751,plain,
% 17.31/12.54 ((~v197(constB15)) | (~v201(constB15))),
% 17.31/12.54 inference(unit_resolution,[status(thm)],[35750, 35749])).
% 17.31/12.54 tff(35752,plain,
% 17.31/12.54 ((~(v200(constB15) <=> (~((~v197(constB15)) | (~v201(constB15)))))) | (~v200(constB15)) | (~((~v197(constB15)) | (~v201(constB15))))),
% 17.31/12.54 inference(tautology,[status(thm)],[])).
% 17.31/12.54 tff(35753,plain,
% 17.31/12.54 (~v200(constB15)),
% 17.31/12.54 inference(unit_resolution,[status(thm)],[35752, 35751, 35706])).
% 17.31/12.54 tff(35754,plain,
% 17.31/12.54 (((~v199(constB15)) | (~v200(constB15))) | v200(constB15)),
% 17.31/12.54 inference(tautology,[status(thm)],[])).
% 17.31/12.54 tff(35755,plain,
% 17.31/12.54 ((~v199(constB15)) | (~v200(constB15))),
% 17.31/12.54 inference(unit_resolution,[status(thm)],[35754, 35753])).
% 17.31/12.54 tff(35756,plain,
% 17.31/12.54 ((~(v198(constB15) <=> (~((~v199(constB15)) | (~v200(constB15)))))) | (~v198(constB15)) | (~((~v199(constB15)) | (~v200(constB15))))),
% 17.31/12.54 inference(tautology,[status(thm)],[])).
% 17.31/12.54 tff(35757,plain,
% 17.31/12.54 (~v198(constB15)),
% 17.31/12.54 inference(unit_resolution,[status(thm)],[35756, 35755, 35704])).
% 17.31/12.54 tff(35758,plain,
% 17.31/12.54 ((~(v194(constB15) | v198(constB15))) | v194(constB15) | v198(constB15)),
% 17.31/12.54 inference(tautology,[status(thm)],[])).
% 17.31/12.54 tff(35759,plain,
% 17.31/12.54 (~(v194(constB15) | v198(constB15))),
% 17.31/12.54 inference(unit_resolution,[status(thm)],[35758, 35757, 35702])).
% 17.31/12.54 tff(35760,plain,
% 17.31/12.54 ((~(v191(constB15) <=> (v194(constB15) | v198(constB15)))) | (~v191(constB15)) | (v194(constB15) | v198(constB15))),
% 17.31/12.54 inference(tautology,[status(thm)],[])).
% 17.31/12.54 tff(35761,plain,
% 17.31/12.54 (~v191(constB15)),
% 17.31/12.54 inference(unit_resolution,[status(thm)],[35760, 35759, 35629])).
% 17.31/12.54 tff(35762,plain,
% 17.31/12.54 ((~(v193(constB16) <=> v191(constB15))) | (~v193(constB16)) | v191(constB15)),
% 17.31/12.54 inference(tautology,[status(thm)],[])).
% 17.31/12.54 tff(35763,plain,
% 17.31/12.54 (~v193(constB16)),
% 17.31/12.54 inference(unit_resolution,[status(thm)],[35762, 35761, 35627])).
% 17.31/12.54 tff(35764,plain,
% 17.31/12.54 ((~(v157(constB16) <=> v193(constB16))) | (~v157(constB16)) | v193(constB16)),
% 17.31/12.54 inference(tautology,[status(thm)],[])).
% 17.31/12.54 tff(35765,plain,
% 17.31/12.54 (~v157(constB16)),
% 17.31/12.54 inference(unit_resolution,[status(thm)],[35764, 35763, 35623])).
% 17.31/12.54 tff(35766,plain,
% 17.31/12.54 (((~v157(constB16)) | (~v195(constB16))) | v157(constB16)),
% 17.31/12.54 inference(tautology,[status(thm)],[])).
% 17.31/12.54 tff(35767,plain,
% 17.31/12.54 ((~v157(constB16)) | (~v195(constB16))),
% 17.31/12.54 inference(unit_resolution,[status(thm)],[35766, 35765])).
% 17.31/12.54 tff(35768,plain,
% 17.31/12.54 ((~(v194(constB16) <=> (~((~v157(constB16)) | (~v195(constB16)))))) | (~v194(constB16)) | (~((~v157(constB16)) | (~v195(constB16))))),
% 17.31/12.54 inference(tautology,[status(thm)],[])).
% 17.31/12.54 tff(35769,plain,
% 17.31/12.54 (~v194(constB16)),
% 17.31/12.54 inference(unit_resolution,[status(thm)],[35768, 35767, 35621])).
% 17.31/12.54 tff(35770,plain,
% 17.31/12.54 ((~(v194(constB16) | v198(constB16))) | v194(constB16) | v198(constB16)),
% 17.31/12.54 inference(tautology,[status(thm)],[])).
% 17.31/12.54 tff(35771,plain,
% 17.31/12.54 (~(v194(constB16) | v198(constB16))),
% 17.31/12.54 inference(unit_resolution,[status(thm)],[35770, 35769, 35614])).
% 17.31/12.54 tff(35772,plain,
% 17.31/12.54 ((~(v191(constB16) <=> (v194(constB16) | v198(constB16)))) | (~v191(constB16)) | (v194(constB16) | v198(constB16))),
% 17.31/12.54 inference(tautology,[status(thm)],[])).
% 17.31/12.54 tff(35773,plain,
% 17.31/12.54 (~v191(constB16)),
% 17.31/12.54 inference(unit_resolution,[status(thm)],[35772, 35771, 35589])).
% 17.31/12.54 tff(35774,plain,
% 17.31/12.54 ((~(v193(constB17) <=> v191(constB16))) | (~v193(constB17)) | v191(constB16)),
% 17.31/12.54 inference(tautology,[status(thm)],[])).
% 17.31/12.54 tff(35775,plain,
% 17.31/12.54 (~v193(constB17)),
% 17.31/12.54 inference(unit_resolution,[status(thm)],[35774, 35773, 35587])).
% 17.31/12.54 tff(35776,plain,
% 17.31/12.54 ($false),
% 17.31/12.54 inference(unit_resolution,[status(thm)],[35775, 35583])).
% 17.31/12.54 tff(35777,plain,(~(constB17 = VarCurr!0)), inference(lemma,lemma(discharge,[]))).
% 17.31/12.54 tff(35778,assumption,(constB177 = VarCurr!0), introduced(assumption)).
% 17.31/12.54 tff(35779,plain,
% 17.31/12.54 (v193(constB177) <=> v193(VarCurr!0)),
% 17.31/12.54 inference(monotonicity,[status(thm)],[35778])).
% 17.31/12.54 tff(35780,plain,
% 17.31/12.54 (v193(VarCurr!0) <=> v193(constB177)),
% 17.31/12.54 inference(symmetry,[status(thm)],[35779])).
% 17.31/12.54 tff(35781,plain,
% 17.31/12.54 (v193(constB177)),
% 17.31/12.54 inference(modus_ponens,[status(thm)],[59, 35780])).
% 17.31/12.54 tff(35782,plain,
% 17.31/12.54 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v193(VarNext) <=> v191(VarCurr)))) | ((~nextState(constB176, constB177)) | (v193(constB177) <=> v191(constB176)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v193(VarNext) <=> v191(VarCurr)))) | (~nextState(constB176, constB177)) | (v193(constB177) <=> v191(constB176)))),
% 17.31/12.54 inference(rewrite,[status(thm)],[])).
% 17.31/12.54 tff(35783,plain,
% 17.31/12.54 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v193(VarNext) <=> v191(VarCurr)))) | ((~nextState(constB176, constB177)) | (v193(constB177) <=> v191(constB176)))),
% 17.31/12.54 inference(quant_inst,[status(thm)],[])).
% 17.31/12.54 tff(35784,plain,
% 17.31/12.54 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v193(VarNext) <=> v191(VarCurr)))) | (~nextState(constB176, constB177)) | (v193(constB177) <=> v191(constB176))),
% 17.31/12.54 inference(modus_ponens,[status(thm)],[35783, 35782])).
% 17.31/12.54 tff(35785,plain,
% 17.31/12.54 (v193(constB177) <=> v191(constB176)),
% 17.31/12.54 inference(unit_resolution,[status(thm)],[35784, 24671, 70])).
% 17.31/12.54 tff(35786,plain,
% 17.31/12.54 ((~![VarCurr: $i] : (v191(VarCurr) <=> (v194(VarCurr) | v198(VarCurr)))) | (v191(constB176) <=> (v194(constB176) | v198(constB176)))),
% 17.31/12.54 inference(quant_inst,[status(thm)],[])).
% 17.31/12.54 tff(35787,plain,
% 17.31/12.54 (v191(constB176) <=> (v194(constB176) | v198(constB176))),
% 17.31/12.54 inference(unit_resolution,[status(thm)],[35786, 84])).
% 17.31/12.54 tff(35788,plain,
% 17.31/12.54 ((~![VarCurr: $i] : (v198(VarCurr) <=> (~((~v199(VarCurr)) | (~v200(VarCurr)))))) | (v198(constB176) <=> (~((~v199(constB176)) | (~v200(constB176)))))),
% 17.31/12.54 inference(quant_inst,[status(thm)],[])).
% 17.31/12.54 tff(35789,plain,
% 17.31/12.54 (v198(constB176) <=> (~((~v199(constB176)) | (~v200(constB176))))),
% 17.31/12.54 inference(unit_resolution,[status(thm)],[35788, 96])).
% 17.31/12.54 tff(35790,plain,
% 17.31/12.54 ((~![VarCurr: $i] : (v200(VarCurr) <=> (~((~v197(VarCurr)) | (~v201(VarCurr)))))) | (v200(constB176) <=> (~((~v197(constB176)) | (~v201(constB176)))))),
% 17.31/12.54 inference(quant_inst,[status(thm)],[])).
% 17.31/12.54 tff(35791,plain,
% 17.31/12.54 (v200(constB176) <=> (~((~v197(constB176)) | (~v201(constB176))))),
% 17.31/12.54 inference(unit_resolution,[status(thm)],[35790, 108])).
% 17.31/12.54 tff(35792,plain,
% 17.31/12.54 ((~![VarCurr: $i] : (v197(VarCurr) <=> (~((~v39(VarCurr)) | (~v9(VarCurr)))))) | (v197(constB176) <=> (~((~v39(constB176)) | (~v9(constB176)))))),
% 17.31/12.54 inference(quant_inst,[status(thm)],[])).
% 17.31/12.54 tff(35793,plain,
% 17.31/12.54 (v197(constB176) <=> (~((~v39(constB176)) | (~v9(constB176))))),
% 17.31/12.54 inference(unit_resolution,[status(thm)],[35792, 120])).
% 17.31/12.54 tff(35794,plain,
% 17.31/12.54 ((~![VarCurr: $i] : ((~v39(VarCurr)) <=> v1(VarCurr))) | ((~v39(constB176)) <=> v1(constB176))),
% 17.31/12.54 inference(quant_inst,[status(thm)],[])).
% 17.31/12.54 tff(35795,plain,
% 17.31/12.54 ((~v39(constB176)) <=> v1(constB176)),
% 17.31/12.54 inference(unit_resolution,[status(thm)],[35794, 129])).
% 17.31/12.54 tff(35796,plain,
% 17.31/12.54 ((~((~v39(constB176)) <=> v1(constB176))) | (~v39(constB176)) | (~v1(constB176))),
% 17.31/12.54 inference(tautology,[status(thm)],[])).
% 17.31/12.54 tff(35797,plain,
% 17.31/12.54 ((~((~v39(constB176)) <=> v1(constB176))) | (~v39(constB176))),
% 17.31/12.54 inference(unit_resolution,[status(thm)],[35796, 24733])).
% 17.31/12.54 tff(35798,plain,
% 17.31/12.54 (~v39(constB176)),
% 17.31/12.54 inference(unit_resolution,[status(thm)],[35797, 35795])).
% 17.31/12.54 tff(35799,plain,
% 17.31/12.54 (((~v39(constB176)) | (~v9(constB176))) | v39(constB176)),
% 17.31/12.54 inference(tautology,[status(thm)],[])).
% 17.31/12.54 tff(35800,plain,
% 17.31/12.54 ((~v39(constB176)) | (~v9(constB176))),
% 17.31/12.54 inference(unit_resolution,[status(thm)],[35799, 35798])).
% 17.31/12.54 tff(35801,plain,
% 17.31/12.54 ((~(v197(constB176) <=> (~((~v39(constB176)) | (~v9(constB176)))))) | (~v197(constB176)) | (~((~v39(constB176)) | (~v9(constB176))))),
% 17.31/12.54 inference(tautology,[status(thm)],[])).
% 17.31/12.54 tff(35802,plain,
% 17.31/12.54 ((~(v197(constB176) <=> (~((~v39(constB176)) | (~v9(constB176)))))) | (~v197(constB176))),
% 17.31/12.54 inference(unit_resolution,[status(thm)],[35801, 35800])).
% 17.31/12.54 tff(35803,plain,
% 17.31/12.54 (~v197(constB176)),
% 17.31/12.54 inference(unit_resolution,[status(thm)],[35802, 35793])).
% 17.31/12.54 tff(35804,plain,
% 17.31/12.54 (((~v197(constB176)) | (~v201(constB176))) | v197(constB176)),
% 17.31/12.54 inference(tautology,[status(thm)],[])).
% 17.31/12.54 tff(35805,plain,
% 17.31/12.54 ((~v197(constB176)) | (~v201(constB176))),
% 17.31/12.54 inference(unit_resolution,[status(thm)],[35804, 35803])).
% 17.31/12.54 tff(35806,plain,
% 17.31/12.54 ((~(v200(constB176) <=> (~((~v197(constB176)) | (~v201(constB176)))))) | (~v200(constB176)) | (~((~v197(constB176)) | (~v201(constB176))))),
% 17.31/12.54 inference(tautology,[status(thm)],[])).
% 17.31/12.54 tff(35807,plain,
% 17.31/12.54 ((~(v200(constB176) <=> (~((~v197(constB176)) | (~v201(constB176)))))) | (~v200(constB176))),
% 17.31/12.54 inference(unit_resolution,[status(thm)],[35806, 35805])).
% 17.31/12.54 tff(35808,plain,
% 17.31/12.54 (~v200(constB176)),
% 17.31/12.54 inference(unit_resolution,[status(thm)],[35807, 35791])).
% 17.31/12.54 tff(35809,plain,
% 17.31/12.54 (((~v199(constB176)) | (~v200(constB176))) | v200(constB176)),
% 17.31/12.54 inference(tautology,[status(thm)],[])).
% 17.31/12.54 tff(35810,plain,
% 17.31/12.54 ((~v199(constB176)) | (~v200(constB176))),
% 17.31/12.54 inference(unit_resolution,[status(thm)],[35809, 35808])).
% 17.31/12.54 tff(35811,plain,
% 17.31/12.54 ((~(v198(constB176) <=> (~((~v199(constB176)) | (~v200(constB176)))))) | (~v198(constB176)) | (~((~v199(constB176)) | (~v200(constB176))))),
% 17.31/12.54 inference(tautology,[status(thm)],[])).
% 17.31/12.54 tff(35812,plain,
% 17.31/12.54 (~v198(constB176)),
% 17.31/12.54 inference(unit_resolution,[status(thm)],[35811, 35810, 35789])).
% 17.31/12.54 tff(35813,plain,
% 17.31/12.54 (((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB176) <=> (~((~v157(constB176)) | (~v195(constB176)))))) <=> ((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB176) <=> (~((~v157(constB176)) | (~v195(constB176))))))),
% 17.31/12.54 inference(rewrite,[status(thm)],[])).
% 17.31/12.54 tff(35814,plain,
% 17.31/12.54 ((v194(constB176) <=> (~((~v195(constB176)) | (~v157(constB176))))) <=> (v194(constB176) <=> (~((~v157(constB176)) | (~v195(constB176)))))),
% 17.31/12.54 inference(rewrite,[status(thm)],[])).
% 17.31/12.54 tff(35815,plain,
% 17.31/12.54 (((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB176) <=> (~((~v195(constB176)) | (~v157(constB176)))))) <=> ((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB176) <=> (~((~v157(constB176)) | (~v195(constB176))))))),
% 17.31/12.54 inference(monotonicity,[status(thm)],[35814])).
% 17.31/12.54 tff(35816,plain,
% 17.31/12.54 (((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB176) <=> (~((~v195(constB176)) | (~v157(constB176)))))) <=> ((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB176) <=> (~((~v157(constB176)) | (~v195(constB176))))))),
% 17.31/12.54 inference(transitivity,[status(thm)],[35815, 35813])).
% 17.31/12.54 tff(35817,plain,
% 17.31/12.54 ((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB176) <=> (~((~v195(constB176)) | (~v157(constB176)))))),
% 17.31/12.54 inference(quant_inst,[status(thm)],[])).
% 17.31/12.54 tff(35818,plain,
% 17.31/12.54 ((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB176) <=> (~((~v157(constB176)) | (~v195(constB176)))))),
% 17.31/12.54 inference(modus_ponens,[status(thm)],[35817, 35816])).
% 17.31/12.54 tff(35819,plain,
% 17.31/12.54 (v194(constB176) <=> (~((~v157(constB176)) | (~v195(constB176))))),
% 17.31/12.54 inference(unit_resolution,[status(thm)],[35818, 161])).
% 17.31/12.54 tff(35820,plain,
% 17.31/12.54 ((~![VarNext: $i] : (v157(VarNext) <=> v193(VarNext))) | (v157(constB176) <=> v193(constB176))),
% 17.31/12.54 inference(quant_inst,[status(thm)],[])).
% 17.31/12.54 tff(35821,plain,
% 17.31/12.54 (v157(constB176) <=> v193(constB176)),
% 17.31/12.54 inference(unit_resolution,[status(thm)],[35820, 13])).
% 17.31/12.54 tff(35822,plain,
% 17.31/12.54 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v193(VarNext) <=> v191(VarCurr)))) | ((~nextState(constB175, constB176)) | (v193(constB176) <=> v191(constB175)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v193(VarNext) <=> v191(VarCurr)))) | (~nextState(constB175, constB176)) | (v193(constB176) <=> v191(constB175)))),
% 17.31/12.55 inference(rewrite,[status(thm)],[])).
% 17.31/12.55 tff(35823,plain,
% 17.31/12.55 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v193(VarNext) <=> v191(VarCurr)))) | ((~nextState(constB175, constB176)) | (v193(constB176) <=> v191(constB175)))),
% 17.31/12.55 inference(quant_inst,[status(thm)],[])).
% 17.31/12.55 tff(35824,plain,
% 17.31/12.55 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v193(VarNext) <=> v191(VarCurr)))) | (~nextState(constB175, constB176)) | (v193(constB176) <=> v191(constB175))),
% 17.31/12.55 inference(modus_ponens,[status(thm)],[35823, 35822])).
% 17.31/12.55 tff(35825,plain,
% 17.31/12.55 (v193(constB176) <=> v191(constB175)),
% 17.31/12.55 inference(unit_resolution,[status(thm)],[35824, 24703, 70])).
% 17.31/12.55 tff(35826,plain,
% 17.31/12.55 ((~![VarCurr: $i] : (v191(VarCurr) <=> (v194(VarCurr) | v198(VarCurr)))) | (v191(constB175) <=> (v194(constB175) | v198(constB175)))),
% 17.31/12.55 inference(quant_inst,[status(thm)],[])).
% 17.31/12.55 tff(35827,plain,
% 17.31/12.55 (v191(constB175) <=> (v194(constB175) | v198(constB175))),
% 17.31/12.55 inference(unit_resolution,[status(thm)],[35826, 84])).
% 17.31/12.55 tff(35828,plain,
% 17.31/12.55 (((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB175) <=> (~((~v157(constB175)) | (~v195(constB175)))))) <=> ((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB175) <=> (~((~v157(constB175)) | (~v195(constB175))))))),
% 17.31/12.55 inference(rewrite,[status(thm)],[])).
% 17.31/12.55 tff(35829,plain,
% 17.31/12.55 ((v194(constB175) <=> (~((~v195(constB175)) | (~v157(constB175))))) <=> (v194(constB175) <=> (~((~v157(constB175)) | (~v195(constB175)))))),
% 17.31/12.55 inference(rewrite,[status(thm)],[])).
% 17.31/12.55 tff(35830,plain,
% 17.31/12.55 (((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB175) <=> (~((~v195(constB175)) | (~v157(constB175)))))) <=> ((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB175) <=> (~((~v157(constB175)) | (~v195(constB175))))))),
% 17.31/12.55 inference(monotonicity,[status(thm)],[35829])).
% 17.31/12.55 tff(35831,plain,
% 17.31/12.55 (((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB175) <=> (~((~v195(constB175)) | (~v157(constB175)))))) <=> ((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB175) <=> (~((~v157(constB175)) | (~v195(constB175))))))),
% 17.31/12.55 inference(transitivity,[status(thm)],[35830, 35828])).
% 17.31/12.55 tff(35832,plain,
% 17.31/12.55 ((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB175) <=> (~((~v195(constB175)) | (~v157(constB175)))))),
% 17.31/12.55 inference(quant_inst,[status(thm)],[])).
% 17.31/12.55 tff(35833,plain,
% 17.31/12.55 ((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB175) <=> (~((~v157(constB175)) | (~v195(constB175)))))),
% 17.31/12.55 inference(modus_ponens,[status(thm)],[35832, 35831])).
% 17.31/12.55 tff(35834,plain,
% 17.31/12.55 (v194(constB175) <=> (~((~v157(constB175)) | (~v195(constB175))))),
% 17.31/12.55 inference(unit_resolution,[status(thm)],[35833, 161])).
% 17.31/12.55 tff(35835,plain,
% 17.31/12.55 ((~![VarCurr: $i] : ((~v195(VarCurr)) <=> v196(VarCurr))) | ((~v195(constB175)) <=> v196(constB175))),
% 17.31/12.55 inference(quant_inst,[status(thm)],[])).
% 17.31/12.55 tff(35836,plain,
% 17.31/12.55 ((~v195(constB175)) <=> v196(constB175)),
% 17.31/12.55 inference(unit_resolution,[status(thm)],[35835, 193])).
% 17.31/12.55 tff(35837,plain,
% 17.31/12.55 ((~![VarCurr: $i] : (v196(VarCurr) <=> (v197(VarCurr) | v26(VarCurr)))) | (v196(constB175) <=> (v197(constB175) | v26(constB175)))),
% 17.31/12.55 inference(quant_inst,[status(thm)],[])).
% 17.31/12.55 tff(35838,plain,
% 17.31/12.55 (v196(constB175) <=> (v197(constB175) | v26(constB175))),
% 17.31/12.55 inference(unit_resolution,[status(thm)],[35837, 202])).
% 17.31/12.55 tff(35839,plain,
% 17.31/12.55 ((~![VarCurr: $i] : (v197(VarCurr) <=> (~((~v39(VarCurr)) | (~v9(VarCurr)))))) | (v197(constB175) <=> (~((~v39(constB175)) | (~v9(constB175)))))),
% 17.31/12.55 inference(quant_inst,[status(thm)],[])).
% 17.31/12.55 tff(35840,plain,
% 17.31/12.55 (v197(constB175) <=> (~((~v39(constB175)) | (~v9(constB175))))),
% 17.31/12.55 inference(unit_resolution,[status(thm)],[35839, 120])).
% 17.31/12.55 tff(35841,plain,
% 17.31/12.55 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | ((~nextState(constB175, constB176)) | (v13(constB176) <=> v9(constB175)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | (~nextState(constB175, constB176)) | (v13(constB176) <=> v9(constB175)))),
% 17.31/12.55 inference(rewrite,[status(thm)],[])).
% 17.31/12.55 tff(35842,plain,
% 17.31/12.55 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | ((~nextState(constB175, constB176)) | (v13(constB176) <=> v9(constB175)))),
% 17.31/12.55 inference(quant_inst,[status(thm)],[])).
% 17.31/12.55 tff(35843,plain,
% 17.31/12.55 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | (~nextState(constB175, constB176)) | (v13(constB176) <=> v9(constB175))),
% 17.31/12.55 inference(modus_ponens,[status(thm)],[35842, 35841])).
% 17.31/12.55 tff(35844,plain,
% 17.31/12.55 (v13(constB176) <=> v9(constB175)),
% 17.31/12.55 inference(unit_resolution,[status(thm)],[35843, 24703, 216])).
% 17.31/12.55 tff(35845,plain,
% 17.31/12.55 ((~![VarNext: $i] : (v6(VarNext) <=> v13(VarNext))) | (v6(constB176) <=> v13(constB176))),
% 17.31/12.55 inference(quant_inst,[status(thm)],[])).
% 17.31/12.55 tff(35846,plain,
% 17.31/12.55 (v6(constB176) <=> v13(constB176)),
% 17.31/12.55 inference(unit_resolution,[status(thm)],[35845, 230])).
% 17.31/12.55 tff(35847,plain,
% 17.31/12.55 ((~![VarCurr: $i] : ((~v21(VarCurr)) <=> v6(VarCurr))) | ((~v21(constB176)) <=> v6(constB176))),
% 17.31/12.55 inference(quant_inst,[status(thm)],[])).
% 17.31/12.55 tff(35848,plain,
% 17.31/12.55 ((~v21(constB176)) <=> v6(constB176)),
% 17.31/12.55 inference(unit_resolution,[status(thm)],[35847, 239])).
% 17.31/12.55 tff(35849,plain,
% 17.31/12.55 ((~![VarCurr: $i] : (v19(VarCurr) <=> (v20(VarCurr) | v21(VarCurr)))) | (v19(constB176) <=> (v20(constB176) | v21(constB176)))),
% 17.31/12.55 inference(quant_inst,[status(thm)],[])).
% 17.31/12.55 tff(35850,plain,
% 17.31/12.55 (v19(constB176) <=> (v20(constB176) | v21(constB176))),
% 17.31/12.55 inference(unit_resolution,[status(thm)],[35849, 248])).
% 17.31/12.55 tff(35851,plain,
% 17.31/12.55 ((~![VarCurr: $i] : (v18(VarCurr) <=> (~((~v19(VarCurr)) | (~v22(VarCurr)))))) | (v18(constB176) <=> (~((~v19(constB176)) | (~v22(constB176)))))),
% 17.31/12.55 inference(quant_inst,[status(thm)],[])).
% 17.31/12.55 tff(35852,plain,
% 17.31/12.55 (v18(constB176) <=> (~((~v19(constB176)) | (~v22(constB176))))),
% 17.31/12.55 inference(unit_resolution,[status(thm)],[35851, 260])).
% 17.31/12.55 tff(35853,plain,
% 17.31/12.55 ((~![VarCurr: $i] : ((~v4(VarCurr)) <=> v18(VarCurr))) | ((~v4(constB176)) <=> v18(constB176))),
% 17.31/12.55 inference(quant_inst,[status(thm)],[])).
% 17.31/12.55 tff(35854,plain,
% 17.31/12.55 ((~v4(constB176)) <=> v18(constB176)),
% 17.31/12.55 inference(unit_resolution,[status(thm)],[35853, 269])).
% 17.31/12.55 tff(35855,plain,
% 17.31/12.55 ((~![VarCurr: $i] : v4(VarCurr)) | v4(constB176)),
% 17.31/12.55 inference(quant_inst,[status(thm)],[])).
% 17.31/12.55 tff(35856,plain,
% 17.31/12.55 (v4(constB176)),
% 17.31/12.55 inference(unit_resolution,[status(thm)],[35855, 278])).
% 17.31/12.55 tff(35857,plain,
% 17.31/12.55 ((~((~v4(constB176)) <=> v18(constB176))) | (~v4(constB176)) | (~v18(constB176))),
% 17.31/12.55 inference(tautology,[status(thm)],[])).
% 17.31/12.55 tff(35858,plain,
% 17.31/12.55 (~v18(constB176)),
% 17.31/12.55 inference(unit_resolution,[status(thm)],[35857, 35856, 35854])).
% 17.31/12.55 tff(35859,plain,
% 17.31/12.55 ((~(v18(constB176) <=> (~((~v19(constB176)) | (~v22(constB176)))))) | v18(constB176) | ((~v19(constB176)) | (~v22(constB176)))),
% 17.31/12.55 inference(tautology,[status(thm)],[])).
% 17.31/12.55 tff(35860,plain,
% 17.31/12.55 ((~v19(constB176)) | (~v22(constB176))),
% 17.31/12.55 inference(unit_resolution,[status(thm)],[35859, 35858, 35852])).
% 17.31/12.55 tff(35861,plain,
% 17.31/12.55 ((~![VarCurr: $i] : (v22(VarCurr) <=> (v1(VarCurr) | v6(VarCurr)))) | (v22(constB176) <=> (v1(constB176) | v6(constB176)))),
% 17.31/12.55 inference(quant_inst,[status(thm)],[])).
% 17.31/12.55 tff(35862,plain,
% 17.31/12.55 (v22(constB176) <=> (v1(constB176) | v6(constB176))),
% 17.31/12.55 inference(unit_resolution,[status(thm)],[35861, 291])).
% 17.31/12.55 tff(35863,plain,
% 17.31/12.55 ((v1(constB176) | v6(constB176)) | (~v1(constB176))),
% 17.31/12.55 inference(tautology,[status(thm)],[])).
% 17.31/12.55 tff(35864,plain,
% 17.31/12.55 (v1(constB176) | v6(constB176)),
% 17.31/12.55 inference(unit_resolution,[status(thm)],[35863, 24733])).
% 17.31/12.55 tff(35865,plain,
% 17.31/12.55 ((~(v22(constB176) <=> (v1(constB176) | v6(constB176)))) | v22(constB176) | (~(v1(constB176) | v6(constB176)))),
% 17.31/12.55 inference(tautology,[status(thm)],[])).
% 17.31/12.55 tff(35866,plain,
% 17.31/12.55 ((~(v22(constB176) <=> (v1(constB176) | v6(constB176)))) | v22(constB176)),
% 17.31/12.55 inference(unit_resolution,[status(thm)],[35865, 35864])).
% 17.31/12.55 tff(35867,plain,
% 17.31/12.55 (v22(constB176)),
% 17.31/12.55 inference(unit_resolution,[status(thm)],[35866, 35862])).
% 17.31/12.55 tff(35868,plain,
% 17.31/12.55 ((~((~v19(constB176)) | (~v22(constB176)))) | (~v19(constB176)) | (~v22(constB176))),
% 17.31/12.55 inference(tautology,[status(thm)],[])).
% 17.31/12.55 tff(35869,plain,
% 17.31/12.55 ((~((~v19(constB176)) | (~v22(constB176)))) | (~v19(constB176))),
% 17.31/12.55 inference(unit_resolution,[status(thm)],[35868, 35867])).
% 17.31/12.55 tff(35870,plain,
% 17.31/12.55 (~v19(constB176)),
% 17.31/12.55 inference(unit_resolution,[status(thm)],[35869, 35860])).
% 17.31/12.55 tff(35871,plain,
% 17.31/12.55 ((~(v19(constB176) <=> (v20(constB176) | v21(constB176)))) | v19(constB176) | (~(v20(constB176) | v21(constB176)))),
% 17.31/12.55 inference(tautology,[status(thm)],[])).
% 17.31/12.55 tff(35872,plain,
% 17.31/12.55 (~(v20(constB176) | v21(constB176))),
% 17.31/12.55 inference(unit_resolution,[status(thm)],[35871, 35870, 35850])).
% 17.31/12.55 tff(35873,plain,
% 17.31/12.55 ((v20(constB176) | v21(constB176)) | (~v21(constB176))),
% 17.31/12.55 inference(tautology,[status(thm)],[])).
% 17.31/12.55 tff(35874,plain,
% 17.31/12.55 (~v21(constB176)),
% 17.31/12.55 inference(unit_resolution,[status(thm)],[35873, 35872])).
% 17.31/12.55 tff(35875,plain,
% 17.31/12.55 ((~((~v21(constB176)) <=> v6(constB176))) | v21(constB176) | v6(constB176)),
% 17.31/12.55 inference(tautology,[status(thm)],[])).
% 17.31/12.55 tff(35876,plain,
% 17.31/12.55 (v6(constB176)),
% 17.31/12.55 inference(unit_resolution,[status(thm)],[35875, 35874, 35848])).
% 17.31/12.55 tff(35877,plain,
% 17.31/12.55 ((~(v6(constB176) <=> v13(constB176))) | (~v6(constB176)) | v13(constB176)),
% 17.31/12.55 inference(tautology,[status(thm)],[])).
% 17.31/12.55 tff(35878,plain,
% 17.31/12.55 (v13(constB176)),
% 17.31/12.55 inference(unit_resolution,[status(thm)],[35877, 35876, 35846])).
% 17.31/12.55 tff(35879,plain,
% 17.31/12.55 ((~(v13(constB176) <=> v9(constB175))) | (~v13(constB176)) | v9(constB175)),
% 17.31/12.55 inference(tautology,[status(thm)],[])).
% 17.31/12.55 tff(35880,plain,
% 17.31/12.55 (v9(constB175)),
% 17.31/12.55 inference(unit_resolution,[status(thm)],[35879, 35878, 35844])).
% 17.31/12.55 tff(35881,plain,
% 17.31/12.55 ((~![VarCurr: $i] : ((~v39(VarCurr)) <=> v1(VarCurr))) | ((~v39(constB175)) <=> v1(constB175))),
% 17.31/12.55 inference(quant_inst,[status(thm)],[])).
% 17.31/12.55 tff(35882,plain,
% 17.31/12.55 ((~v39(constB175)) <=> v1(constB175)),
% 17.31/12.55 inference(unit_resolution,[status(thm)],[35881, 129])).
% 17.31/12.55 tff(35883,plain,
% 17.31/12.55 ((~((~v39(constB175)) <=> v1(constB175))) | v39(constB175) | v1(constB175)),
% 17.31/12.55 inference(tautology,[status(thm)],[])).
% 17.31/12.55 tff(35884,plain,
% 17.31/12.55 ((~((~v39(constB175)) <=> v1(constB175))) | v39(constB175)),
% 17.31/12.55 inference(unit_resolution,[status(thm)],[35883, 24725])).
% 17.31/12.55 tff(35885,plain,
% 17.31/12.55 (v39(constB175)),
% 17.31/12.55 inference(unit_resolution,[status(thm)],[35884, 35882])).
% 17.31/12.55 tff(35886,plain,
% 17.31/12.55 ((~((~v39(constB175)) | (~v9(constB175)))) | (~v39(constB175)) | (~v9(constB175))),
% 17.31/12.55 inference(tautology,[status(thm)],[])).
% 17.31/12.55 tff(35887,plain,
% 17.31/12.55 ((~((~v39(constB175)) | (~v9(constB175)))) | (~v9(constB175))),
% 17.31/12.55 inference(unit_resolution,[status(thm)],[35886, 35885])).
% 17.31/12.55 tff(35888,plain,
% 17.31/12.55 (~((~v39(constB175)) | (~v9(constB175)))),
% 17.31/12.55 inference(unit_resolution,[status(thm)],[35887, 35880])).
% 17.31/12.55 tff(35889,plain,
% 17.31/12.55 ((~(v197(constB175) <=> (~((~v39(constB175)) | (~v9(constB175)))))) | v197(constB175) | ((~v39(constB175)) | (~v9(constB175)))),
% 17.31/12.55 inference(tautology,[status(thm)],[])).
% 17.31/12.55 tff(35890,plain,
% 17.31/12.55 (v197(constB175)),
% 17.31/12.55 inference(unit_resolution,[status(thm)],[35889, 35888, 35840])).
% 17.31/12.55 tff(35891,plain,
% 17.31/12.55 ((v197(constB175) | v26(constB175)) | (~v197(constB175))),
% 17.31/12.55 inference(tautology,[status(thm)],[])).
% 17.31/12.55 tff(35892,plain,
% 17.31/12.55 (v197(constB175) | v26(constB175)),
% 17.31/12.55 inference(unit_resolution,[status(thm)],[35891, 35890])).
% 17.31/12.55 tff(35893,plain,
% 17.31/12.55 ((~(v196(constB175) <=> (v197(constB175) | v26(constB175)))) | v196(constB175) | (~(v197(constB175) | v26(constB175)))),
% 17.31/12.55 inference(tautology,[status(thm)],[])).
% 17.31/12.55 tff(35894,plain,
% 17.31/12.55 (v196(constB175)),
% 17.31/12.55 inference(unit_resolution,[status(thm)],[35893, 35892, 35838])).
% 17.31/12.55 tff(35895,plain,
% 17.31/12.55 ((~((~v195(constB175)) <=> v196(constB175))) | (~v195(constB175)) | (~v196(constB175))),
% 17.31/12.55 inference(tautology,[status(thm)],[])).
% 17.31/12.55 tff(35896,plain,
% 17.31/12.55 (~v195(constB175)),
% 17.31/12.55 inference(unit_resolution,[status(thm)],[35895, 35894, 35836])).
% 17.31/12.55 tff(35897,plain,
% 17.31/12.55 (((~v157(constB175)) | (~v195(constB175))) | v195(constB175)),
% 17.31/12.55 inference(tautology,[status(thm)],[])).
% 17.31/12.55 tff(35898,plain,
% 17.31/12.55 ((~v157(constB175)) | (~v195(constB175))),
% 17.31/12.55 inference(unit_resolution,[status(thm)],[35897, 35896])).
% 17.31/12.55 tff(35899,plain,
% 17.31/12.55 ((~(v194(constB175) <=> (~((~v157(constB175)) | (~v195(constB175)))))) | (~v194(constB175)) | (~((~v157(constB175)) | (~v195(constB175))))),
% 17.31/12.55 inference(tautology,[status(thm)],[])).
% 17.31/12.55 tff(35900,plain,
% 17.31/12.55 (~v194(constB175)),
% 17.31/12.55 inference(unit_resolution,[status(thm)],[35899, 35898, 35834])).
% 17.31/12.55 tff(35901,plain,
% 17.31/12.55 ((~![VarCurr: $i] : (v198(VarCurr) <=> (~((~v199(VarCurr)) | (~v200(VarCurr)))))) | (v198(constB175) <=> (~((~v199(constB175)) | (~v200(constB175)))))),
% 17.31/12.55 inference(quant_inst,[status(thm)],[])).
% 17.31/12.55 tff(35902,plain,
% 17.31/12.55 (v198(constB175) <=> (~((~v199(constB175)) | (~v200(constB175))))),
% 17.31/12.55 inference(unit_resolution,[status(thm)],[35901, 96])).
% 17.31/12.55 tff(35903,plain,
% 17.31/12.55 ((~![VarCurr: $i] : (v200(VarCurr) <=> (~((~v197(VarCurr)) | (~v201(VarCurr)))))) | (v200(constB175) <=> (~((~v197(constB175)) | (~v201(constB175)))))),
% 17.31/12.55 inference(quant_inst,[status(thm)],[])).
% 17.31/12.55 tff(35904,plain,
% 17.31/12.55 (v200(constB175) <=> (~((~v197(constB175)) | (~v201(constB175))))),
% 17.31/12.55 inference(unit_resolution,[status(thm)],[35903, 108])).
% 17.31/12.55 tff(35905,plain,
% 17.31/12.55 ((~![VarCurr: $i] : (v201(VarCurr) <=> (~((~v159(VarCurr)) | (~v161(VarCurr)))))) | (v201(constB175) <=> (~((~v159(constB175)) | (~v161(constB175)))))),
% 17.31/12.55 inference(quant_inst,[status(thm)],[])).
% 17.31/12.55 tff(35906,plain,
% 17.31/12.55 (v201(constB175) <=> (~((~v159(constB175)) | (~v161(constB175))))),
% 17.31/12.55 inference(unit_resolution,[status(thm)],[35905, 348])).
% 17.31/12.55 tff(35907,plain,
% 17.31/12.55 ((~![VarCurr: $i] : (v161(VarCurr) <=> v163(VarCurr))) | (v161(constB175) <=> v163(constB175))),
% 17.31/12.55 inference(quant_inst,[status(thm)],[])).
% 17.31/12.55 tff(35908,plain,
% 17.31/12.55 (v161(constB175) <=> v163(constB175)),
% 17.31/12.55 inference(unit_resolution,[status(thm)],[35907, 357])).
% 17.31/12.55 tff(35909,plain,
% 17.31/12.55 ((~![VarCurr: $i] : (v171(VarCurr) <=> (v142(VarCurr) | v150(VarCurr)))) | (v171(constB175) <=> (v142(constB175) | v150(constB175)))),
% 17.31/12.55 inference(quant_inst,[status(thm)],[])).
% 17.31/12.55 tff(35910,plain,
% 17.31/12.55 (v171(constB175) <=> (v142(constB175) | v150(constB175))),
% 17.31/12.55 inference(unit_resolution,[status(thm)],[35909, 369])).
% 17.31/12.55 tff(35911,plain,
% 17.31/12.55 ((v142(constB175) | v150(constB175)) | (~v142(constB175))),
% 17.31/12.55 inference(tautology,[status(thm)],[])).
% 17.31/12.55 tff(35912,plain,
% 17.31/12.55 (v142(constB175) | v150(constB175)),
% 17.31/12.55 inference(unit_resolution,[status(thm)],[35911, 34302])).
% 17.31/12.55 tff(35913,plain,
% 17.31/12.55 ((~(v171(constB175) <=> (v142(constB175) | v150(constB175)))) | v171(constB175) | (~(v142(constB175) | v150(constB175)))),
% 17.31/12.55 inference(tautology,[status(thm)],[])).
% 17.31/12.55 tff(35914,plain,
% 17.31/12.55 (v171(constB175)),
% 17.31/12.55 inference(unit_resolution,[status(thm)],[35913, 35912, 35910])).
% 17.31/12.55 tff(35915,plain,
% 17.31/12.55 (((~![VarCurr: $i] : ((~v171(VarCurr)) | (~v170(VarCurr)))) | ((~v170(constB175)) | (~v171(constB175)))) <=> ((~![VarCurr: $i] : ((~v171(VarCurr)) | (~v170(VarCurr)))) | (~v170(constB175)) | (~v171(constB175)))),
% 17.31/12.55 inference(rewrite,[status(thm)],[])).
% 17.31/12.55 tff(35916,plain,
% 17.31/12.55 (((~v171(constB175)) | (~v170(constB175))) <=> ((~v170(constB175)) | (~v171(constB175)))),
% 17.31/12.55 inference(rewrite,[status(thm)],[])).
% 17.31/12.55 tff(35917,plain,
% 17.31/12.55 (((~![VarCurr: $i] : ((~v171(VarCurr)) | (~v170(VarCurr)))) | ((~v171(constB175)) | (~v170(constB175)))) <=> ((~![VarCurr: $i] : ((~v171(VarCurr)) | (~v170(VarCurr)))) | ((~v170(constB175)) | (~v171(constB175))))),
% 17.31/12.55 inference(monotonicity,[status(thm)],[35916])).
% 17.31/12.55 tff(35918,plain,
% 17.31/12.55 (((~![VarCurr: $i] : ((~v171(VarCurr)) | (~v170(VarCurr)))) | ((~v171(constB175)) | (~v170(constB175)))) <=> ((~![VarCurr: $i] : ((~v171(VarCurr)) | (~v170(VarCurr)))) | (~v170(constB175)) | (~v171(constB175)))),
% 17.31/12.55 inference(transitivity,[status(thm)],[35917, 35915])).
% 17.31/12.55 tff(35919,plain,
% 17.31/12.55 ((~![VarCurr: $i] : ((~v171(VarCurr)) | (~v170(VarCurr)))) | ((~v171(constB175)) | (~v170(constB175)))),
% 17.31/12.55 inference(quant_inst,[status(thm)],[])).
% 17.31/12.55 tff(35920,plain,
% 17.31/12.55 ((~![VarCurr: $i] : ((~v171(VarCurr)) | (~v170(VarCurr)))) | (~v170(constB175)) | (~v171(constB175))),
% 17.31/12.55 inference(modus_ponens,[status(thm)],[35919, 35918])).
% 17.31/12.55 tff(35921,plain,
% 17.31/12.55 ((~v170(constB175)) | (~v171(constB175))),
% 17.31/12.55 inference(unit_resolution,[status(thm)],[35920, 13061])).
% 17.31/12.55 tff(35922,plain,
% 17.31/12.55 (~v170(constB175)),
% 17.31/12.55 inference(unit_resolution,[status(thm)],[35921, 35914])).
% 17.31/12.55 tff(35923,plain,
% 17.31/12.55 ((~![VarCurr: $i] : (v166(VarCurr) <=> (v145(VarCurr) | v167(VarCurr)))) | (v166(constB175) <=> (v145(constB175) | v167(constB175)))),
% 17.31/12.55 inference(quant_inst,[status(thm)],[])).
% 17.31/12.55 tff(35924,plain,
% 17.31/12.55 (v166(constB175) <=> (v145(constB175) | v167(constB175))),
% 17.31/12.55 inference(unit_resolution,[status(thm)],[35923, 13079])).
% 17.31/12.55 tff(35925,plain,
% 17.31/12.55 ((~![VarCurr: $i] : (v167(VarCurr) <=> (v142(VarCurr) | v168(VarCurr)))) | (v167(constB175) <=> (v142(constB175) | v168(constB175)))),
% 17.31/12.55 inference(quant_inst,[status(thm)],[])).
% 17.31/12.55 tff(35926,plain,
% 17.31/12.55 (v167(constB175) <=> (v142(constB175) | v168(constB175))),
% 17.31/12.55 inference(unit_resolution,[status(thm)],[35925, 13091])).
% 17.31/12.55 tff(35927,plain,
% 17.31/12.55 ((v142(constB175) | v168(constB175)) | (~v142(constB175))),
% 17.31/12.55 inference(tautology,[status(thm)],[])).
% 17.31/12.55 tff(35928,plain,
% 17.31/12.55 (v142(constB175) | v168(constB175)),
% 17.31/12.55 inference(unit_resolution,[status(thm)],[35927, 34302])).
% 17.31/12.55 tff(35929,plain,
% 17.31/12.55 ((~(v167(constB175) <=> (v142(constB175) | v168(constB175)))) | v167(constB175) | (~(v142(constB175) | v168(constB175)))),
% 17.31/12.55 inference(tautology,[status(thm)],[])).
% 17.31/12.55 tff(35930,plain,
% 17.31/12.55 (v167(constB175)),
% 17.31/12.55 inference(unit_resolution,[status(thm)],[35929, 35928, 35926])).
% 17.31/12.55 tff(35931,plain,
% 17.31/12.55 ((v145(constB175) | v167(constB175)) | (~v167(constB175))),
% 17.31/12.55 inference(tautology,[status(thm)],[])).
% 17.31/12.55 tff(35932,plain,
% 17.31/12.55 (v145(constB175) | v167(constB175)),
% 17.31/12.55 inference(unit_resolution,[status(thm)],[35931, 35930])).
% 17.31/12.55 tff(35933,plain,
% 17.31/12.55 ((~(v166(constB175) <=> (v145(constB175) | v167(constB175)))) | v166(constB175) | (~(v145(constB175) | v167(constB175)))),
% 17.31/12.55 inference(tautology,[status(thm)],[])).
% 17.31/12.55 tff(35934,plain,
% 17.31/12.55 (v166(constB175)),
% 17.31/12.55 inference(unit_resolution,[status(thm)],[35933, 35932, 35924])).
% 17.31/12.55 tff(35935,plain,
% 17.31/12.55 (((~![VarNext: $i] : ((~v166(VarNext)) | (v163(VarNext) <=> v170(VarNext)))) | ((~v166(constB175)) | (v163(constB175) <=> v170(constB175)))) <=> ((~![VarNext: $i] : ((~v166(VarNext)) | (v163(VarNext) <=> v170(VarNext)))) | (~v166(constB175)) | (v163(constB175) <=> v170(constB175)))),
% 17.31/12.55 inference(rewrite,[status(thm)],[])).
% 17.31/12.55 tff(35936,plain,
% 17.31/12.55 ((~![VarNext: $i] : ((~v166(VarNext)) | (v163(VarNext) <=> v170(VarNext)))) | ((~v166(constB175)) | (v163(constB175) <=> v170(constB175)))),
% 17.31/12.55 inference(quant_inst,[status(thm)],[])).
% 17.31/12.55 tff(35937,plain,
% 17.31/12.55 ((~![VarNext: $i] : ((~v166(VarNext)) | (v163(VarNext) <=> v170(VarNext)))) | (~v166(constB175)) | (v163(constB175) <=> v170(constB175))),
% 17.31/12.55 inference(modus_ponens,[status(thm)],[35936, 35935])).
% 17.31/12.55 tff(35938,plain,
% 17.31/12.55 ((~v166(constB175)) | (v163(constB175) <=> v170(constB175))),
% 17.31/12.55 inference(unit_resolution,[status(thm)],[35937, 13111])).
% 17.31/12.55 tff(35939,plain,
% 17.31/12.55 (v163(constB175) <=> v170(constB175)),
% 17.31/12.55 inference(unit_resolution,[status(thm)],[35938, 35934])).
% 17.31/12.55 tff(35940,plain,
% 17.31/12.55 ((~(v163(constB175) <=> v170(constB175))) | (~v163(constB175)) | v170(constB175)),
% 17.31/12.55 inference(tautology,[status(thm)],[])).
% 17.31/12.55 tff(35941,plain,
% 17.31/12.55 (~v163(constB175)),
% 17.31/12.55 inference(unit_resolution,[status(thm)],[35940, 35939, 35922])).
% 17.31/12.55 tff(35942,plain,
% 17.31/12.55 ((~(v161(constB175) <=> v163(constB175))) | (~v161(constB175)) | v163(constB175)),
% 17.31/12.55 inference(tautology,[status(thm)],[])).
% 17.31/12.55 tff(35943,plain,
% 17.31/12.55 (~v161(constB175)),
% 17.31/12.55 inference(unit_resolution,[status(thm)],[35942, 35941, 35908])).
% 17.31/12.55 tff(35944,plain,
% 17.31/12.55 (((~v159(constB175)) | (~v161(constB175))) | v161(constB175)),
% 17.31/12.55 inference(tautology,[status(thm)],[])).
% 17.31/12.55 tff(35945,plain,
% 17.31/12.55 ((~v159(constB175)) | (~v161(constB175))),
% 17.31/12.56 inference(unit_resolution,[status(thm)],[35944, 35943])).
% 17.31/12.56 tff(35946,plain,
% 17.31/12.56 ((~(v201(constB175) <=> (~((~v159(constB175)) | (~v161(constB175)))))) | (~v201(constB175)) | (~((~v159(constB175)) | (~v161(constB175))))),
% 17.31/12.56 inference(tautology,[status(thm)],[])).
% 17.31/12.56 tff(35947,plain,
% 17.31/12.56 (~v201(constB175)),
% 17.31/12.56 inference(unit_resolution,[status(thm)],[35946, 35945, 35906])).
% 17.31/12.56 tff(35948,plain,
% 17.31/12.56 (((~v197(constB175)) | (~v201(constB175))) | v201(constB175)),
% 17.31/12.56 inference(tautology,[status(thm)],[])).
% 17.31/12.56 tff(35949,plain,
% 17.31/12.56 ((~v197(constB175)) | (~v201(constB175))),
% 17.31/12.56 inference(unit_resolution,[status(thm)],[35948, 35947])).
% 17.31/12.56 tff(35950,plain,
% 17.31/12.56 ((~(v200(constB175) <=> (~((~v197(constB175)) | (~v201(constB175)))))) | (~v200(constB175)) | (~((~v197(constB175)) | (~v201(constB175))))),
% 17.31/12.56 inference(tautology,[status(thm)],[])).
% 17.31/12.56 tff(35951,plain,
% 17.31/12.56 (~v200(constB175)),
% 17.31/12.56 inference(unit_resolution,[status(thm)],[35950, 35949, 35904])).
% 17.31/12.56 tff(35952,plain,
% 17.31/12.56 (((~v199(constB175)) | (~v200(constB175))) | v200(constB175)),
% 17.31/12.56 inference(tautology,[status(thm)],[])).
% 17.31/12.56 tff(35953,plain,
% 17.31/12.56 ((~v199(constB175)) | (~v200(constB175))),
% 17.31/12.56 inference(unit_resolution,[status(thm)],[35952, 35951])).
% 17.31/12.56 tff(35954,plain,
% 17.31/12.56 ((~(v198(constB175) <=> (~((~v199(constB175)) | (~v200(constB175)))))) | (~v198(constB175)) | (~((~v199(constB175)) | (~v200(constB175))))),
% 17.31/12.56 inference(tautology,[status(thm)],[])).
% 17.31/12.56 tff(35955,plain,
% 17.31/12.56 (~v198(constB175)),
% 17.31/12.56 inference(unit_resolution,[status(thm)],[35954, 35953, 35902])).
% 17.31/12.56 tff(35956,plain,
% 17.31/12.56 ((~(v194(constB175) | v198(constB175))) | v194(constB175) | v198(constB175)),
% 17.31/12.56 inference(tautology,[status(thm)],[])).
% 17.31/12.56 tff(35957,plain,
% 17.31/12.56 (~(v194(constB175) | v198(constB175))),
% 17.31/12.56 inference(unit_resolution,[status(thm)],[35956, 35955, 35900])).
% 17.31/12.56 tff(35958,plain,
% 17.31/12.56 ((~(v191(constB175) <=> (v194(constB175) | v198(constB175)))) | (~v191(constB175)) | (v194(constB175) | v198(constB175))),
% 17.31/12.56 inference(tautology,[status(thm)],[])).
% 17.31/12.56 tff(35959,plain,
% 17.31/12.56 (~v191(constB175)),
% 17.31/12.56 inference(unit_resolution,[status(thm)],[35958, 35957, 35827])).
% 17.31/12.56 tff(35960,plain,
% 17.31/12.56 ((~(v193(constB176) <=> v191(constB175))) | (~v193(constB176)) | v191(constB175)),
% 17.31/12.56 inference(tautology,[status(thm)],[])).
% 17.31/12.56 tff(35961,plain,
% 17.31/12.56 (~v193(constB176)),
% 17.31/12.56 inference(unit_resolution,[status(thm)],[35960, 35959, 35825])).
% 17.31/12.56 tff(35962,plain,
% 17.31/12.56 ((~(v157(constB176) <=> v193(constB176))) | (~v157(constB176)) | v193(constB176)),
% 17.31/12.56 inference(tautology,[status(thm)],[])).
% 17.31/12.56 tff(35963,plain,
% 17.31/12.56 (~v157(constB176)),
% 17.31/12.56 inference(unit_resolution,[status(thm)],[35962, 35961, 35821])).
% 17.31/12.56 tff(35964,plain,
% 17.31/12.56 (((~v157(constB176)) | (~v195(constB176))) | v157(constB176)),
% 17.31/12.56 inference(tautology,[status(thm)],[])).
% 17.31/12.56 tff(35965,plain,
% 17.31/12.56 ((~v157(constB176)) | (~v195(constB176))),
% 17.31/12.56 inference(unit_resolution,[status(thm)],[35964, 35963])).
% 17.31/12.56 tff(35966,plain,
% 17.31/12.56 ((~(v194(constB176) <=> (~((~v157(constB176)) | (~v195(constB176)))))) | (~v194(constB176)) | (~((~v157(constB176)) | (~v195(constB176))))),
% 17.31/12.56 inference(tautology,[status(thm)],[])).
% 17.31/12.56 tff(35967,plain,
% 17.31/12.56 (~v194(constB176)),
% 17.31/12.56 inference(unit_resolution,[status(thm)],[35966, 35965, 35819])).
% 17.31/12.56 tff(35968,plain,
% 17.31/12.56 ((~(v194(constB176) | v198(constB176))) | v194(constB176) | v198(constB176)),
% 17.31/12.56 inference(tautology,[status(thm)],[])).
% 17.31/12.56 tff(35969,plain,
% 17.31/12.56 (~(v194(constB176) | v198(constB176))),
% 17.31/12.56 inference(unit_resolution,[status(thm)],[35968, 35967, 35812])).
% 17.31/12.56 tff(35970,plain,
% 17.31/12.56 ((~(v191(constB176) <=> (v194(constB176) | v198(constB176)))) | (~v191(constB176)) | (v194(constB176) | v198(constB176))),
% 17.31/12.56 inference(tautology,[status(thm)],[])).
% 17.31/12.56 tff(35971,plain,
% 17.31/12.56 (~v191(constB176)),
% 17.31/12.56 inference(unit_resolution,[status(thm)],[35970, 35969, 35787])).
% 17.31/12.56 tff(35972,plain,
% 17.31/12.56 ((~(v193(constB177) <=> v191(constB176))) | (~v193(constB177)) | v191(constB176)),
% 17.31/12.56 inference(tautology,[status(thm)],[])).
% 17.31/12.56 tff(35973,plain,
% 17.31/12.56 (~v193(constB177)),
% 17.31/12.56 inference(unit_resolution,[status(thm)],[35972, 35971, 35785])).
% 17.31/12.56 tff(35974,plain,
% 17.31/12.56 ($false),
% 17.31/12.56 inference(unit_resolution,[status(thm)],[35973, 35781])).
% 17.31/12.56 tff(35975,plain,(~(constB177 = VarCurr!0)), inference(lemma,lemma(discharge,[]))).
% 17.31/12.56 tff(35976,assumption,(constB117 = VarCurr!0), introduced(assumption)).
% 17.31/12.56 tff(35977,plain,
% 17.31/12.56 (v193(constB117) <=> v193(VarCurr!0)),
% 17.31/12.56 inference(monotonicity,[status(thm)],[35976])).
% 17.31/12.56 tff(35978,plain,
% 17.31/12.56 (v193(VarCurr!0) <=> v193(constB117)),
% 17.31/12.56 inference(symmetry,[status(thm)],[35977])).
% 17.31/12.56 tff(35979,plain,
% 17.31/12.56 (v193(constB117)),
% 17.31/12.56 inference(modus_ponens,[status(thm)],[59, 35978])).
% 17.31/12.56 tff(35980,plain,
% 17.31/12.56 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v193(VarNext) <=> v191(VarCurr)))) | ((~nextState(constB116, constB117)) | (v193(constB117) <=> v191(constB116)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v193(VarNext) <=> v191(VarCurr)))) | (~nextState(constB116, constB117)) | (v193(constB117) <=> v191(constB116)))),
% 17.31/12.56 inference(rewrite,[status(thm)],[])).
% 17.31/12.56 tff(35981,plain,
% 17.31/12.56 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v193(VarNext) <=> v191(VarCurr)))) | ((~nextState(constB116, constB117)) | (v193(constB117) <=> v191(constB116)))),
% 17.31/12.56 inference(quant_inst,[status(thm)],[])).
% 17.31/12.56 tff(35982,plain,
% 17.31/12.56 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v193(VarNext) <=> v191(VarCurr)))) | (~nextState(constB116, constB117)) | (v193(constB117) <=> v191(constB116))),
% 17.31/12.56 inference(modus_ponens,[status(thm)],[35981, 35980])).
% 17.31/12.56 tff(35983,plain,
% 17.31/12.56 (v193(constB117) <=> v191(constB116)),
% 17.31/12.56 inference(unit_resolution,[status(thm)],[35982, 15107, 70])).
% 17.31/12.56 tff(35984,plain,
% 17.31/12.56 ((~![VarCurr: $i] : (v191(VarCurr) <=> (v194(VarCurr) | v198(VarCurr)))) | (v191(constB116) <=> (v194(constB116) | v198(constB116)))),
% 17.31/12.56 inference(quant_inst,[status(thm)],[])).
% 17.31/12.56 tff(35985,plain,
% 17.31/12.56 (v191(constB116) <=> (v194(constB116) | v198(constB116))),
% 17.31/12.56 inference(unit_resolution,[status(thm)],[35984, 84])).
% 17.31/12.56 tff(35986,plain,
% 17.31/12.56 ((~![VarCurr: $i] : (v198(VarCurr) <=> (~((~v199(VarCurr)) | (~v200(VarCurr)))))) | (v198(constB116) <=> (~((~v199(constB116)) | (~v200(constB116)))))),
% 17.31/12.56 inference(quant_inst,[status(thm)],[])).
% 17.31/12.56 tff(35987,plain,
% 17.31/12.56 (v198(constB116) <=> (~((~v199(constB116)) | (~v200(constB116))))),
% 17.31/12.56 inference(unit_resolution,[status(thm)],[35986, 96])).
% 17.31/12.56 tff(35988,plain,
% 17.31/12.56 ((~![VarCurr: $i] : (v200(VarCurr) <=> (~((~v197(VarCurr)) | (~v201(VarCurr)))))) | (v200(constB116) <=> (~((~v197(constB116)) | (~v201(constB116)))))),
% 17.31/12.56 inference(quant_inst,[status(thm)],[])).
% 17.31/12.56 tff(35989,plain,
% 17.31/12.56 (v200(constB116) <=> (~((~v197(constB116)) | (~v201(constB116))))),
% 17.31/12.56 inference(unit_resolution,[status(thm)],[35988, 108])).
% 17.31/12.56 tff(35990,plain,
% 17.31/12.56 ((~![VarCurr: $i] : (v197(VarCurr) <=> (~((~v39(VarCurr)) | (~v9(VarCurr)))))) | (v197(constB116) <=> (~((~v39(constB116)) | (~v9(constB116)))))),
% 17.31/12.56 inference(quant_inst,[status(thm)],[])).
% 17.31/12.56 tff(35991,plain,
% 17.31/12.56 (v197(constB116) <=> (~((~v39(constB116)) | (~v9(constB116))))),
% 17.31/12.56 inference(unit_resolution,[status(thm)],[35990, 120])).
% 17.31/12.56 tff(35992,plain,
% 17.31/12.56 ((~![VarCurr: $i] : ((~v39(VarCurr)) <=> v1(VarCurr))) | ((~v39(constB116)) <=> v1(constB116))),
% 17.31/12.56 inference(quant_inst,[status(thm)],[])).
% 17.31/12.56 tff(35993,plain,
% 17.31/12.56 ((~v39(constB116)) <=> v1(constB116)),
% 17.31/12.56 inference(unit_resolution,[status(thm)],[35992, 129])).
% 17.31/12.56 tff(35994,plain,
% 17.31/12.56 ((~((~v39(constB116)) <=> v1(constB116))) | (~v39(constB116)) | (~v1(constB116))),
% 17.31/12.56 inference(tautology,[status(thm)],[])).
% 17.31/12.56 tff(35995,plain,
% 17.31/12.56 ((~((~v39(constB116)) <=> v1(constB116))) | (~v39(constB116))),
% 17.31/12.56 inference(unit_resolution,[status(thm)],[35994, 15169])).
% 17.31/12.56 tff(35996,plain,
% 17.31/12.56 (~v39(constB116)),
% 17.31/12.56 inference(unit_resolution,[status(thm)],[35995, 35993])).
% 17.31/12.56 tff(35997,plain,
% 17.31/12.56 (((~v39(constB116)) | (~v9(constB116))) | v39(constB116)),
% 17.31/12.56 inference(tautology,[status(thm)],[])).
% 17.31/12.56 tff(35998,plain,
% 17.31/12.56 ((~v39(constB116)) | (~v9(constB116))),
% 17.31/12.56 inference(unit_resolution,[status(thm)],[35997, 35996])).
% 17.31/12.56 tff(35999,plain,
% 17.31/12.56 ((~(v197(constB116) <=> (~((~v39(constB116)) | (~v9(constB116)))))) | (~v197(constB116)) | (~((~v39(constB116)) | (~v9(constB116))))),
% 17.31/12.56 inference(tautology,[status(thm)],[])).
% 17.31/12.56 tff(36000,plain,
% 17.31/12.56 ((~(v197(constB116) <=> (~((~v39(constB116)) | (~v9(constB116)))))) | (~v197(constB116))),
% 17.31/12.56 inference(unit_resolution,[status(thm)],[35999, 35998])).
% 17.31/12.56 tff(36001,plain,
% 17.31/12.56 (~v197(constB116)),
% 17.31/12.56 inference(unit_resolution,[status(thm)],[36000, 35991])).
% 17.31/12.56 tff(36002,plain,
% 17.31/12.56 (((~v197(constB116)) | (~v201(constB116))) | v197(constB116)),
% 17.31/12.56 inference(tautology,[status(thm)],[])).
% 17.31/12.56 tff(36003,plain,
% 17.31/12.56 ((~v197(constB116)) | (~v201(constB116))),
% 17.31/12.56 inference(unit_resolution,[status(thm)],[36002, 36001])).
% 17.31/12.56 tff(36004,plain,
% 17.31/12.56 ((~(v200(constB116) <=> (~((~v197(constB116)) | (~v201(constB116)))))) | (~v200(constB116)) | (~((~v197(constB116)) | (~v201(constB116))))),
% 17.31/12.56 inference(tautology,[status(thm)],[])).
% 17.31/12.56 tff(36005,plain,
% 17.31/12.56 ((~(v200(constB116) <=> (~((~v197(constB116)) | (~v201(constB116)))))) | (~v200(constB116))),
% 17.31/12.56 inference(unit_resolution,[status(thm)],[36004, 36003])).
% 17.31/12.56 tff(36006,plain,
% 17.31/12.56 (~v200(constB116)),
% 17.31/12.56 inference(unit_resolution,[status(thm)],[36005, 35989])).
% 17.31/12.56 tff(36007,plain,
% 17.31/12.56 (((~v199(constB116)) | (~v200(constB116))) | v200(constB116)),
% 17.31/12.56 inference(tautology,[status(thm)],[])).
% 17.31/12.56 tff(36008,plain,
% 17.31/12.56 ((~v199(constB116)) | (~v200(constB116))),
% 17.31/12.56 inference(unit_resolution,[status(thm)],[36007, 36006])).
% 17.31/12.56 tff(36009,plain,
% 17.31/12.56 ((~(v198(constB116) <=> (~((~v199(constB116)) | (~v200(constB116)))))) | (~v198(constB116)) | (~((~v199(constB116)) | (~v200(constB116))))),
% 17.31/12.56 inference(tautology,[status(thm)],[])).
% 17.31/12.56 tff(36010,plain,
% 17.31/12.56 (~v198(constB116)),
% 17.31/12.56 inference(unit_resolution,[status(thm)],[36009, 36008, 35987])).
% 17.31/12.56 tff(36011,plain,
% 17.31/12.56 (((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB116) <=> (~((~v157(constB116)) | (~v195(constB116)))))) <=> ((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB116) <=> (~((~v157(constB116)) | (~v195(constB116))))))),
% 17.31/12.56 inference(rewrite,[status(thm)],[])).
% 17.31/12.56 tff(36012,plain,
% 17.31/12.56 ((v194(constB116) <=> (~((~v195(constB116)) | (~v157(constB116))))) <=> (v194(constB116) <=> (~((~v157(constB116)) | (~v195(constB116)))))),
% 17.31/12.56 inference(rewrite,[status(thm)],[])).
% 17.31/12.56 tff(36013,plain,
% 17.31/12.56 (((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB116) <=> (~((~v195(constB116)) | (~v157(constB116)))))) <=> ((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB116) <=> (~((~v157(constB116)) | (~v195(constB116))))))),
% 17.31/12.56 inference(monotonicity,[status(thm)],[36012])).
% 17.31/12.56 tff(36014,plain,
% 17.31/12.56 (((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB116) <=> (~((~v195(constB116)) | (~v157(constB116)))))) <=> ((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB116) <=> (~((~v157(constB116)) | (~v195(constB116))))))),
% 17.31/12.56 inference(transitivity,[status(thm)],[36013, 36011])).
% 17.31/12.56 tff(36015,plain,
% 17.31/12.56 ((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB116) <=> (~((~v195(constB116)) | (~v157(constB116)))))),
% 17.31/12.56 inference(quant_inst,[status(thm)],[])).
% 17.31/12.56 tff(36016,plain,
% 17.31/12.56 ((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB116) <=> (~((~v157(constB116)) | (~v195(constB116)))))),
% 17.31/12.56 inference(modus_ponens,[status(thm)],[36015, 36014])).
% 17.31/12.56 tff(36017,plain,
% 17.31/12.56 (v194(constB116) <=> (~((~v157(constB116)) | (~v195(constB116))))),
% 17.31/12.56 inference(unit_resolution,[status(thm)],[36016, 161])).
% 17.31/12.56 tff(36018,plain,
% 17.31/12.56 ((~![VarNext: $i] : (v157(VarNext) <=> v193(VarNext))) | (v157(constB116) <=> v193(constB116))),
% 17.31/12.56 inference(quant_inst,[status(thm)],[])).
% 17.31/12.56 tff(36019,plain,
% 17.31/12.56 (v157(constB116) <=> v193(constB116)),
% 17.31/12.56 inference(unit_resolution,[status(thm)],[36018, 13])).
% 17.31/12.56 tff(36020,plain,
% 17.31/12.56 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v193(VarNext) <=> v191(VarCurr)))) | ((~nextState(constB115, constB116)) | (v193(constB116) <=> v191(constB115)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v193(VarNext) <=> v191(VarCurr)))) | (~nextState(constB115, constB116)) | (v193(constB116) <=> v191(constB115)))),
% 17.31/12.56 inference(rewrite,[status(thm)],[])).
% 17.31/12.56 tff(36021,plain,
% 17.31/12.56 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v193(VarNext) <=> v191(VarCurr)))) | ((~nextState(constB115, constB116)) | (v193(constB116) <=> v191(constB115)))),
% 17.31/12.56 inference(quant_inst,[status(thm)],[])).
% 17.31/12.56 tff(36022,plain,
% 17.31/12.56 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v193(VarNext) <=> v191(VarCurr)))) | (~nextState(constB115, constB116)) | (v193(constB116) <=> v191(constB115))),
% 17.31/12.56 inference(modus_ponens,[status(thm)],[36021, 36020])).
% 17.31/12.56 tff(36023,plain,
% 17.31/12.56 (v193(constB116) <=> v191(constB115)),
% 17.31/12.56 inference(unit_resolution,[status(thm)],[36022, 15139, 70])).
% 17.31/12.56 tff(36024,plain,
% 17.31/12.56 ((~![VarCurr: $i] : (v191(VarCurr) <=> (v194(VarCurr) | v198(VarCurr)))) | (v191(constB115) <=> (v194(constB115) | v198(constB115)))),
% 17.31/12.56 inference(quant_inst,[status(thm)],[])).
% 17.31/12.56 tff(36025,plain,
% 17.31/12.56 (v191(constB115) <=> (v194(constB115) | v198(constB115))),
% 17.31/12.56 inference(unit_resolution,[status(thm)],[36024, 84])).
% 17.31/12.56 tff(36026,plain,
% 17.31/12.56 (((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB115) <=> (~((~v157(constB115)) | (~v195(constB115)))))) <=> ((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB115) <=> (~((~v157(constB115)) | (~v195(constB115))))))),
% 17.31/12.56 inference(rewrite,[status(thm)],[])).
% 17.31/12.56 tff(36027,plain,
% 17.31/12.56 ((v194(constB115) <=> (~((~v195(constB115)) | (~v157(constB115))))) <=> (v194(constB115) <=> (~((~v157(constB115)) | (~v195(constB115)))))),
% 17.31/12.56 inference(rewrite,[status(thm)],[])).
% 17.31/12.56 tff(36028,plain,
% 17.31/12.56 (((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB115) <=> (~((~v195(constB115)) | (~v157(constB115)))))) <=> ((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB115) <=> (~((~v157(constB115)) | (~v195(constB115))))))),
% 17.31/12.56 inference(monotonicity,[status(thm)],[36027])).
% 17.31/12.56 tff(36029,plain,
% 17.31/12.56 (((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB115) <=> (~((~v195(constB115)) | (~v157(constB115)))))) <=> ((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB115) <=> (~((~v157(constB115)) | (~v195(constB115))))))),
% 17.31/12.56 inference(transitivity,[status(thm)],[36028, 36026])).
% 17.31/12.56 tff(36030,plain,
% 17.31/12.56 ((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB115) <=> (~((~v195(constB115)) | (~v157(constB115)))))),
% 17.31/12.56 inference(quant_inst,[status(thm)],[])).
% 17.31/12.56 tff(36031,plain,
% 17.31/12.56 ((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB115) <=> (~((~v157(constB115)) | (~v195(constB115)))))),
% 17.31/12.56 inference(modus_ponens,[status(thm)],[36030, 36029])).
% 17.31/12.56 tff(36032,plain,
% 17.31/12.56 (v194(constB115) <=> (~((~v157(constB115)) | (~v195(constB115))))),
% 17.31/12.56 inference(unit_resolution,[status(thm)],[36031, 161])).
% 17.31/12.56 tff(36033,plain,
% 17.31/12.56 ((~![VarCurr: $i] : ((~v195(VarCurr)) <=> v196(VarCurr))) | ((~v195(constB115)) <=> v196(constB115))),
% 17.31/12.56 inference(quant_inst,[status(thm)],[])).
% 17.31/12.56 tff(36034,plain,
% 17.31/12.56 ((~v195(constB115)) <=> v196(constB115)),
% 17.31/12.56 inference(unit_resolution,[status(thm)],[36033, 193])).
% 17.31/12.56 tff(36035,plain,
% 17.31/12.56 ((~![VarCurr: $i] : (v196(VarCurr) <=> (v197(VarCurr) | v26(VarCurr)))) | (v196(constB115) <=> (v197(constB115) | v26(constB115)))),
% 17.31/12.56 inference(quant_inst,[status(thm)],[])).
% 17.31/12.56 tff(36036,plain,
% 17.31/12.56 (v196(constB115) <=> (v197(constB115) | v26(constB115))),
% 17.31/12.56 inference(unit_resolution,[status(thm)],[36035, 202])).
% 17.31/12.56 tff(36037,plain,
% 17.31/12.56 ((~![VarCurr: $i] : (v197(VarCurr) <=> (~((~v39(VarCurr)) | (~v9(VarCurr)))))) | (v197(constB115) <=> (~((~v39(constB115)) | (~v9(constB115)))))),
% 17.31/12.56 inference(quant_inst,[status(thm)],[])).
% 17.31/12.56 tff(36038,plain,
% 17.31/12.56 (v197(constB115) <=> (~((~v39(constB115)) | (~v9(constB115))))),
% 17.31/12.56 inference(unit_resolution,[status(thm)],[36037, 120])).
% 17.31/12.56 tff(36039,plain,
% 17.31/12.56 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | ((~nextState(constB115, constB116)) | (v13(constB116) <=> v9(constB115)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | (~nextState(constB115, constB116)) | (v13(constB116) <=> v9(constB115)))),
% 17.31/12.56 inference(rewrite,[status(thm)],[])).
% 17.31/12.56 tff(36040,plain,
% 17.31/12.56 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | ((~nextState(constB115, constB116)) | (v13(constB116) <=> v9(constB115)))),
% 17.31/12.56 inference(quant_inst,[status(thm)],[])).
% 17.31/12.56 tff(36041,plain,
% 17.31/12.56 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | (~nextState(constB115, constB116)) | (v13(constB116) <=> v9(constB115))),
% 17.31/12.56 inference(modus_ponens,[status(thm)],[36040, 36039])).
% 17.31/12.56 tff(36042,plain,
% 17.31/12.56 (v13(constB116) <=> v9(constB115)),
% 17.31/12.56 inference(unit_resolution,[status(thm)],[36041, 15139, 216])).
% 17.31/12.56 tff(36043,plain,
% 17.31/12.56 ((~![VarNext: $i] : (v6(VarNext) <=> v13(VarNext))) | (v6(constB116) <=> v13(constB116))),
% 17.31/12.56 inference(quant_inst,[status(thm)],[])).
% 17.31/12.56 tff(36044,plain,
% 17.31/12.56 (v6(constB116) <=> v13(constB116)),
% 17.31/12.56 inference(unit_resolution,[status(thm)],[36043, 230])).
% 17.31/12.56 tff(36045,plain,
% 17.31/12.56 ((~![VarCurr: $i] : ((~v21(VarCurr)) <=> v6(VarCurr))) | ((~v21(constB116)) <=> v6(constB116))),
% 17.31/12.56 inference(quant_inst,[status(thm)],[])).
% 17.31/12.56 tff(36046,plain,
% 17.31/12.56 ((~v21(constB116)) <=> v6(constB116)),
% 17.31/12.56 inference(unit_resolution,[status(thm)],[36045, 239])).
% 17.31/12.56 tff(36047,plain,
% 17.31/12.56 ((~![VarCurr: $i] : (v19(VarCurr) <=> (v20(VarCurr) | v21(VarCurr)))) | (v19(constB116) <=> (v20(constB116) | v21(constB116)))),
% 17.31/12.56 inference(quant_inst,[status(thm)],[])).
% 17.31/12.56 tff(36048,plain,
% 17.31/12.56 (v19(constB116) <=> (v20(constB116) | v21(constB116))),
% 17.31/12.56 inference(unit_resolution,[status(thm)],[36047, 248])).
% 17.31/12.56 tff(36049,plain,
% 17.31/12.56 ((~![VarCurr: $i] : (v18(VarCurr) <=> (~((~v19(VarCurr)) | (~v22(VarCurr)))))) | (v18(constB116) <=> (~((~v19(constB116)) | (~v22(constB116)))))),
% 17.31/12.56 inference(quant_inst,[status(thm)],[])).
% 17.31/12.56 tff(36050,plain,
% 17.31/12.56 (v18(constB116) <=> (~((~v19(constB116)) | (~v22(constB116))))),
% 17.31/12.56 inference(unit_resolution,[status(thm)],[36049, 260])).
% 17.31/12.56 tff(36051,plain,
% 17.31/12.56 ((~![VarCurr: $i] : ((~v4(VarCurr)) <=> v18(VarCurr))) | ((~v4(constB116)) <=> v18(constB116))),
% 17.31/12.56 inference(quant_inst,[status(thm)],[])).
% 17.31/12.56 tff(36052,plain,
% 17.31/12.56 ((~v4(constB116)) <=> v18(constB116)),
% 17.31/12.56 inference(unit_resolution,[status(thm)],[36051, 269])).
% 17.31/12.56 tff(36053,plain,
% 17.31/12.56 ((~![VarCurr: $i] : v4(VarCurr)) | v4(constB116)),
% 17.31/12.56 inference(quant_inst,[status(thm)],[])).
% 17.31/12.56 tff(36054,plain,
% 17.31/12.56 (v4(constB116)),
% 17.31/12.56 inference(unit_resolution,[status(thm)],[36053, 278])).
% 17.31/12.56 tff(36055,plain,
% 17.31/12.56 ((~((~v4(constB116)) <=> v18(constB116))) | (~v4(constB116)) | (~v18(constB116))),
% 17.31/12.56 inference(tautology,[status(thm)],[])).
% 17.31/12.56 tff(36056,plain,
% 17.31/12.56 (~v18(constB116)),
% 17.31/12.56 inference(unit_resolution,[status(thm)],[36055, 36054, 36052])).
% 17.31/12.56 tff(36057,plain,
% 17.31/12.56 ((~(v18(constB116) <=> (~((~v19(constB116)) | (~v22(constB116)))))) | v18(constB116) | ((~v19(constB116)) | (~v22(constB116)))),
% 17.31/12.56 inference(tautology,[status(thm)],[])).
% 17.31/12.56 tff(36058,plain,
% 17.31/12.56 ((~v19(constB116)) | (~v22(constB116))),
% 17.31/12.56 inference(unit_resolution,[status(thm)],[36057, 36056, 36050])).
% 17.31/12.56 tff(36059,plain,
% 17.31/12.56 ((~![VarCurr: $i] : (v22(VarCurr) <=> (v1(VarCurr) | v6(VarCurr)))) | (v22(constB116) <=> (v1(constB116) | v6(constB116)))),
% 17.31/12.56 inference(quant_inst,[status(thm)],[])).
% 17.31/12.56 tff(36060,plain,
% 17.31/12.56 (v22(constB116) <=> (v1(constB116) | v6(constB116))),
% 17.31/12.56 inference(unit_resolution,[status(thm)],[36059, 291])).
% 17.31/12.56 tff(36061,plain,
% 17.31/12.56 ((v1(constB116) | v6(constB116)) | (~v1(constB116))),
% 17.31/12.56 inference(tautology,[status(thm)],[])).
% 17.31/12.56 tff(36062,plain,
% 17.31/12.56 (v1(constB116) | v6(constB116)),
% 17.31/12.56 inference(unit_resolution,[status(thm)],[36061, 15169])).
% 17.31/12.56 tff(36063,plain,
% 17.31/12.56 ((~(v22(constB116) <=> (v1(constB116) | v6(constB116)))) | v22(constB116) | (~(v1(constB116) | v6(constB116)))),
% 17.31/12.56 inference(tautology,[status(thm)],[])).
% 17.31/12.57 tff(36064,plain,
% 17.31/12.57 ((~(v22(constB116) <=> (v1(constB116) | v6(constB116)))) | v22(constB116)),
% 17.31/12.57 inference(unit_resolution,[status(thm)],[36063, 36062])).
% 17.31/12.57 tff(36065,plain,
% 17.31/12.57 (v22(constB116)),
% 17.31/12.57 inference(unit_resolution,[status(thm)],[36064, 36060])).
% 17.31/12.57 tff(36066,plain,
% 17.31/12.57 ((~((~v19(constB116)) | (~v22(constB116)))) | (~v19(constB116)) | (~v22(constB116))),
% 17.31/12.57 inference(tautology,[status(thm)],[])).
% 17.31/12.57 tff(36067,plain,
% 17.31/12.57 ((~((~v19(constB116)) | (~v22(constB116)))) | (~v19(constB116))),
% 17.31/12.57 inference(unit_resolution,[status(thm)],[36066, 36065])).
% 17.31/12.57 tff(36068,plain,
% 17.31/12.57 (~v19(constB116)),
% 17.31/12.57 inference(unit_resolution,[status(thm)],[36067, 36058])).
% 17.31/12.57 tff(36069,plain,
% 17.31/12.57 ((~(v19(constB116) <=> (v20(constB116) | v21(constB116)))) | v19(constB116) | (~(v20(constB116) | v21(constB116)))),
% 17.31/12.57 inference(tautology,[status(thm)],[])).
% 17.31/12.57 tff(36070,plain,
% 17.31/12.57 (~(v20(constB116) | v21(constB116))),
% 17.31/12.57 inference(unit_resolution,[status(thm)],[36069, 36068, 36048])).
% 17.31/12.57 tff(36071,plain,
% 17.31/12.57 ((v20(constB116) | v21(constB116)) | (~v21(constB116))),
% 17.31/12.57 inference(tautology,[status(thm)],[])).
% 17.31/12.57 tff(36072,plain,
% 17.31/12.57 (~v21(constB116)),
% 17.31/12.57 inference(unit_resolution,[status(thm)],[36071, 36070])).
% 17.31/12.57 tff(36073,plain,
% 17.31/12.57 ((~((~v21(constB116)) <=> v6(constB116))) | v21(constB116) | v6(constB116)),
% 17.31/12.57 inference(tautology,[status(thm)],[])).
% 17.31/12.57 tff(36074,plain,
% 17.31/12.57 (v6(constB116)),
% 17.31/12.57 inference(unit_resolution,[status(thm)],[36073, 36072, 36046])).
% 17.31/12.57 tff(36075,plain,
% 17.31/12.57 ((~(v6(constB116) <=> v13(constB116))) | (~v6(constB116)) | v13(constB116)),
% 17.31/12.57 inference(tautology,[status(thm)],[])).
% 17.31/12.57 tff(36076,plain,
% 17.31/12.57 (v13(constB116)),
% 17.31/12.57 inference(unit_resolution,[status(thm)],[36075, 36074, 36044])).
% 17.31/12.57 tff(36077,plain,
% 17.31/12.57 ((~(v13(constB116) <=> v9(constB115))) | (~v13(constB116)) | v9(constB115)),
% 17.31/12.57 inference(tautology,[status(thm)],[])).
% 17.31/12.57 tff(36078,plain,
% 17.31/12.57 (v9(constB115)),
% 17.31/12.57 inference(unit_resolution,[status(thm)],[36077, 36076, 36042])).
% 17.31/12.57 tff(36079,plain,
% 17.31/12.57 ((~![VarCurr: $i] : ((~v39(VarCurr)) <=> v1(VarCurr))) | ((~v39(constB115)) <=> v1(constB115))),
% 17.31/12.57 inference(quant_inst,[status(thm)],[])).
% 17.31/12.57 tff(36080,plain,
% 17.31/12.57 ((~v39(constB115)) <=> v1(constB115)),
% 17.31/12.57 inference(unit_resolution,[status(thm)],[36079, 129])).
% 17.31/12.57 tff(36081,plain,
% 17.31/12.57 ((~((~v39(constB115)) <=> v1(constB115))) | v39(constB115) | v1(constB115)),
% 17.31/12.57 inference(tautology,[status(thm)],[])).
% 17.31/12.57 tff(36082,plain,
% 17.31/12.57 ((~((~v39(constB115)) <=> v1(constB115))) | v39(constB115)),
% 17.31/12.57 inference(unit_resolution,[status(thm)],[36081, 15161])).
% 17.31/12.57 tff(36083,plain,
% 17.31/12.57 (v39(constB115)),
% 17.31/12.57 inference(unit_resolution,[status(thm)],[36082, 36080])).
% 17.31/12.57 tff(36084,plain,
% 17.31/12.57 ((~((~v39(constB115)) | (~v9(constB115)))) | (~v39(constB115)) | (~v9(constB115))),
% 17.31/12.57 inference(tautology,[status(thm)],[])).
% 17.31/12.57 tff(36085,plain,
% 17.31/12.57 ((~((~v39(constB115)) | (~v9(constB115)))) | (~v9(constB115))),
% 17.31/12.57 inference(unit_resolution,[status(thm)],[36084, 36083])).
% 17.31/12.57 tff(36086,plain,
% 17.31/12.57 (~((~v39(constB115)) | (~v9(constB115)))),
% 17.31/12.57 inference(unit_resolution,[status(thm)],[36085, 36078])).
% 17.31/12.57 tff(36087,plain,
% 17.31/12.57 ((~(v197(constB115) <=> (~((~v39(constB115)) | (~v9(constB115)))))) | v197(constB115) | ((~v39(constB115)) | (~v9(constB115)))),
% 17.31/12.57 inference(tautology,[status(thm)],[])).
% 17.31/12.57 tff(36088,plain,
% 17.31/12.57 (v197(constB115)),
% 17.31/12.57 inference(unit_resolution,[status(thm)],[36087, 36086, 36038])).
% 17.31/12.57 tff(36089,plain,
% 17.31/12.57 ((v197(constB115) | v26(constB115)) | (~v197(constB115))),
% 17.31/12.57 inference(tautology,[status(thm)],[])).
% 17.31/12.57 tff(36090,plain,
% 17.31/12.57 (v197(constB115) | v26(constB115)),
% 17.31/12.57 inference(unit_resolution,[status(thm)],[36089, 36088])).
% 17.31/12.57 tff(36091,plain,
% 17.31/12.57 ((~(v196(constB115) <=> (v197(constB115) | v26(constB115)))) | v196(constB115) | (~(v197(constB115) | v26(constB115)))),
% 17.31/12.57 inference(tautology,[status(thm)],[])).
% 17.31/12.57 tff(36092,plain,
% 17.31/12.57 (v196(constB115)),
% 17.31/12.57 inference(unit_resolution,[status(thm)],[36091, 36090, 36036])).
% 17.31/12.57 tff(36093,plain,
% 17.31/12.57 ((~((~v195(constB115)) <=> v196(constB115))) | (~v195(constB115)) | (~v196(constB115))),
% 17.31/12.57 inference(tautology,[status(thm)],[])).
% 17.31/12.57 tff(36094,plain,
% 17.31/12.57 (~v195(constB115)),
% 17.31/12.57 inference(unit_resolution,[status(thm)],[36093, 36092, 36034])).
% 17.31/12.57 tff(36095,plain,
% 17.31/12.57 (((~v157(constB115)) | (~v195(constB115))) | v195(constB115)),
% 17.31/12.57 inference(tautology,[status(thm)],[])).
% 17.31/12.57 tff(36096,plain,
% 17.31/12.57 ((~v157(constB115)) | (~v195(constB115))),
% 17.31/12.57 inference(unit_resolution,[status(thm)],[36095, 36094])).
% 17.31/12.57 tff(36097,plain,
% 17.31/12.57 ((~(v194(constB115) <=> (~((~v157(constB115)) | (~v195(constB115)))))) | (~v194(constB115)) | (~((~v157(constB115)) | (~v195(constB115))))),
% 17.31/12.57 inference(tautology,[status(thm)],[])).
% 17.31/12.57 tff(36098,plain,
% 17.31/12.57 (~v194(constB115)),
% 17.31/12.57 inference(unit_resolution,[status(thm)],[36097, 36096, 36032])).
% 17.31/12.57 tff(36099,plain,
% 17.31/12.57 ((~![VarCurr: $i] : (v198(VarCurr) <=> (~((~v199(VarCurr)) | (~v200(VarCurr)))))) | (v198(constB115) <=> (~((~v199(constB115)) | (~v200(constB115)))))),
% 17.31/12.57 inference(quant_inst,[status(thm)],[])).
% 17.31/12.57 tff(36100,plain,
% 17.31/12.57 (v198(constB115) <=> (~((~v199(constB115)) | (~v200(constB115))))),
% 17.31/12.57 inference(unit_resolution,[status(thm)],[36099, 96])).
% 17.31/12.57 tff(36101,plain,
% 17.31/12.57 ((~![VarCurr: $i] : (v200(VarCurr) <=> (~((~v197(VarCurr)) | (~v201(VarCurr)))))) | (v200(constB115) <=> (~((~v197(constB115)) | (~v201(constB115)))))),
% 17.31/12.57 inference(quant_inst,[status(thm)],[])).
% 17.31/12.57 tff(36102,plain,
% 17.31/12.57 (v200(constB115) <=> (~((~v197(constB115)) | (~v201(constB115))))),
% 17.31/12.57 inference(unit_resolution,[status(thm)],[36101, 108])).
% 17.31/12.57 tff(36103,plain,
% 17.31/12.57 ((~![VarCurr: $i] : (v201(VarCurr) <=> (~((~v159(VarCurr)) | (~v161(VarCurr)))))) | (v201(constB115) <=> (~((~v159(constB115)) | (~v161(constB115)))))),
% 17.31/12.57 inference(quant_inst,[status(thm)],[])).
% 17.31/12.57 tff(36104,plain,
% 17.31/12.57 (v201(constB115) <=> (~((~v159(constB115)) | (~v161(constB115))))),
% 17.31/12.57 inference(unit_resolution,[status(thm)],[36103, 348])).
% 17.31/12.57 tff(36105,plain,
% 17.31/12.57 ((~![VarCurr: $i] : (v161(VarCurr) <=> v163(VarCurr))) | (v161(constB115) <=> v163(constB115))),
% 17.31/12.57 inference(quant_inst,[status(thm)],[])).
% 17.31/12.57 tff(36106,plain,
% 17.31/12.57 (v161(constB115) <=> v163(constB115)),
% 17.31/12.57 inference(unit_resolution,[status(thm)],[36105, 357])).
% 17.31/12.57 tff(36107,plain,
% 17.31/12.57 ((~![VarCurr: $i] : (v171(VarCurr) <=> (v142(VarCurr) | v150(VarCurr)))) | (v171(constB115) <=> (v142(constB115) | v150(constB115)))),
% 17.31/12.57 inference(quant_inst,[status(thm)],[])).
% 17.31/12.57 tff(36108,plain,
% 17.31/12.57 (v171(constB115) <=> (v142(constB115) | v150(constB115))),
% 17.31/12.57 inference(unit_resolution,[status(thm)],[36107, 369])).
% 17.31/12.57 tff(36109,plain,
% 17.31/12.57 ((~![VarCurr: $i] : (v142(VarCurr) <=> (v143(VarCurr) | v144(VarCurr)))) | (v142(constB115) <=> (v143(constB115) | v144(constB115)))),
% 17.31/12.57 inference(quant_inst,[status(thm)],[])).
% 17.31/12.57 tff(36110,plain,
% 17.31/12.57 (v142(constB115) <=> (v143(constB115) | v144(constB115))),
% 17.31/12.57 inference(unit_resolution,[status(thm)],[36109, 378])).
% 17.31/12.57 tff(36111,plain,
% 17.31/12.57 (((~![VarCurr: $i] : (v144(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex2)))))) | (v144(constB115) <=> (~((~v88(constB115, bitIndex2)) | (~v88(constB115, bitIndex1)) | v88(constB115, bitIndex0))))) <=> ((~![VarCurr: $i] : (v144(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex2)))))) | (v144(constB115) <=> (~((~v88(constB115, bitIndex2)) | (~v88(constB115, bitIndex1)) | v88(constB115, bitIndex0)))))),
% 17.31/12.57 inference(rewrite,[status(thm)],[])).
% 17.31/12.57 tff(36112,plain,
% 17.31/12.57 ((v144(constB115) <=> (~(v88(constB115, bitIndex0) | (~v88(constB115, bitIndex1)) | (~v88(constB115, bitIndex2))))) <=> (v144(constB115) <=> (~((~v88(constB115, bitIndex2)) | (~v88(constB115, bitIndex1)) | v88(constB115, bitIndex0))))),
% 17.31/12.57 inference(rewrite,[status(thm)],[])).
% 17.31/12.57 tff(36113,plain,
% 17.31/12.57 (((~![VarCurr: $i] : (v144(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex2)))))) | (v144(constB115) <=> (~(v88(constB115, bitIndex0) | (~v88(constB115, bitIndex1)) | (~v88(constB115, bitIndex2)))))) <=> ((~![VarCurr: $i] : (v144(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex2)))))) | (v144(constB115) <=> (~((~v88(constB115, bitIndex2)) | (~v88(constB115, bitIndex1)) | v88(constB115, bitIndex0)))))),
% 17.31/12.57 inference(monotonicity,[status(thm)],[36112])).
% 17.31/12.57 tff(36114,plain,
% 17.31/12.57 (((~![VarCurr: $i] : (v144(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex2)))))) | (v144(constB115) <=> (~(v88(constB115, bitIndex0) | (~v88(constB115, bitIndex1)) | (~v88(constB115, bitIndex2)))))) <=> ((~![VarCurr: $i] : (v144(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex2)))))) | (v144(constB115) <=> (~((~v88(constB115, bitIndex2)) | (~v88(constB115, bitIndex1)) | v88(constB115, bitIndex0)))))),
% 17.31/12.57 inference(transitivity,[status(thm)],[36113, 36111])).
% 17.31/12.57 tff(36115,plain,
% 17.31/12.57 ((~![VarCurr: $i] : (v144(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex2)))))) | (v144(constB115) <=> (~(v88(constB115, bitIndex0) | (~v88(constB115, bitIndex1)) | (~v88(constB115, bitIndex2)))))),
% 17.31/12.57 inference(quant_inst,[status(thm)],[])).
% 17.31/12.57 tff(36116,plain,
% 17.31/12.57 ((~![VarCurr: $i] : (v144(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex2)))))) | (v144(constB115) <=> (~((~v88(constB115, bitIndex2)) | (~v88(constB115, bitIndex1)) | v88(constB115, bitIndex0))))),
% 17.31/12.57 inference(modus_ponens,[status(thm)],[36115, 36114])).
% 17.31/12.57 tff(36117,plain,
% 17.31/12.57 (v144(constB115) <=> (~((~v88(constB115, bitIndex2)) | (~v88(constB115, bitIndex1)) | v88(constB115, bitIndex0)))),
% 17.31/12.57 inference(unit_resolution,[status(thm)],[36116, 393])).
% 17.31/12.57 tff(36118,plain,
% 17.31/12.57 (((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | ((~less_3(bitIndex2)) | (v88(constB115, bitIndex2) <=> v90(constB115, bitIndex2)))) <=> ((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | (~less_3(bitIndex2)) | (v88(constB115, bitIndex2) <=> v90(constB115, bitIndex2)))),
% 17.31/12.57 inference(rewrite,[status(thm)],[])).
% 17.31/12.57 tff(36119,plain,
% 17.31/12.57 ((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | ((~less_3(bitIndex2)) | (v88(constB115, bitIndex2) <=> v90(constB115, bitIndex2)))),
% 17.31/12.57 inference(quant_inst,[status(thm)],[])).
% 17.31/12.57 tff(36120,plain,
% 17.31/12.57 ((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | (~less_3(bitIndex2)) | (v88(constB115, bitIndex2) <=> v90(constB115, bitIndex2))),
% 17.31/12.57 inference(modus_ponens,[status(thm)],[36119, 36118])).
% 17.31/12.57 tff(36121,plain,
% 17.31/12.57 (v88(constB115, bitIndex2) <=> v90(constB115, bitIndex2)),
% 17.31/12.57 inference(unit_resolution,[status(thm)],[36120, 413, 410])).
% 17.31/12.57 tff(36122,plain,
% 17.31/12.57 ((~(v88(constB115, bitIndex2) <=> v90(constB115, bitIndex2))) | v88(constB115, bitIndex2) | (~v90(constB115, bitIndex2))),
% 17.31/12.57 inference(tautology,[status(thm)],[])).
% 17.31/12.57 tff(36123,plain,
% 17.31/12.57 (v88(constB115, bitIndex2)),
% 17.31/12.57 inference(unit_resolution,[status(thm)],[36122, 17703, 36121])).
% 17.31/12.57 tff(36124,plain,
% 17.31/12.57 (((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | ((~less_3(bitIndex0)) | (v88(constB115, bitIndex0) <=> v90(constB115, bitIndex0)))) <=> ((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | (~less_3(bitIndex0)) | (v88(constB115, bitIndex0) <=> v90(constB115, bitIndex0)))),
% 17.31/12.57 inference(rewrite,[status(thm)],[])).
% 17.31/12.57 tff(36125,plain,
% 17.31/12.57 ((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | ((~less_3(bitIndex0)) | (v88(constB115, bitIndex0) <=> v90(constB115, bitIndex0)))),
% 17.31/12.57 inference(quant_inst,[status(thm)],[])).
% 17.31/12.57 tff(36126,plain,
% 17.31/12.57 ((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | (~less_3(bitIndex0)) | (v88(constB115, bitIndex0) <=> v90(constB115, bitIndex0))),
% 17.31/12.57 inference(modus_ponens,[status(thm)],[36125, 36124])).
% 17.31/12.57 tff(36127,plain,
% 17.31/12.57 (v88(constB115, bitIndex0) <=> v90(constB115, bitIndex0)),
% 17.31/12.57 inference(unit_resolution,[status(thm)],[36126, 5004, 410])).
% 17.31/12.57 tff(36128,plain,
% 17.31/12.57 ((~(v88(constB115, bitIndex0) <=> v90(constB115, bitIndex0))) | (~v88(constB115, bitIndex0)) | v90(constB115, bitIndex0)),
% 17.31/12.57 inference(tautology,[status(thm)],[])).
% 17.31/12.57 tff(36129,plain,
% 17.31/12.57 (~v88(constB115, bitIndex0)),
% 17.31/12.57 inference(unit_resolution,[status(thm)],[36128, 17734, 36127])).
% 17.31/12.57 tff(36130,plain,
% 17.31/12.57 (((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | ((~less_3(bitIndex1)) | (v88(constB115, bitIndex1) <=> v90(constB115, bitIndex1)))) <=> ((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | (~less_3(bitIndex1)) | (v88(constB115, bitIndex1) <=> v90(constB115, bitIndex1)))),
% 17.31/12.57 inference(rewrite,[status(thm)],[])).
% 17.31/12.57 tff(36131,plain,
% 17.31/12.57 ((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | ((~less_3(bitIndex1)) | (v88(constB115, bitIndex1) <=> v90(constB115, bitIndex1)))),
% 17.31/12.57 inference(quant_inst,[status(thm)],[])).
% 17.31/12.57 tff(36132,plain,
% 17.31/12.57 ((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | (~less_3(bitIndex1)) | (v88(constB115, bitIndex1) <=> v90(constB115, bitIndex1))),
% 17.31/12.57 inference(modus_ponens,[status(thm)],[36131, 36130])).
% 17.31/12.57 tff(36133,plain,
% 17.31/12.57 (v88(constB115, bitIndex1) <=> v90(constB115, bitIndex1)),
% 17.31/12.57 inference(unit_resolution,[status(thm)],[36132, 5017, 410])).
% 17.31/12.57 tff(36134,plain,
% 17.31/12.57 ((~(v88(constB115, bitIndex1) <=> v90(constB115, bitIndex1))) | v88(constB115, bitIndex1) | (~v90(constB115, bitIndex1))),
% 17.31/12.57 inference(tautology,[status(thm)],[])).
% 17.31/12.57 tff(36135,plain,
% 17.31/12.57 (v88(constB115, bitIndex1)),
% 17.31/12.57 inference(unit_resolution,[status(thm)],[36134, 17765, 36133])).
% 17.31/12.57 tff(36136,plain,
% 17.31/12.57 ((~((~v88(constB115, bitIndex2)) | (~v88(constB115, bitIndex1)) | v88(constB115, bitIndex0))) | (~v88(constB115, bitIndex2)) | (~v88(constB115, bitIndex1)) | v88(constB115, bitIndex0)),
% 17.31/12.57 inference(tautology,[status(thm)],[])).
% 17.31/12.57 tff(36137,plain,
% 17.31/12.57 (~((~v88(constB115, bitIndex2)) | (~v88(constB115, bitIndex1)) | v88(constB115, bitIndex0))),
% 17.31/12.57 inference(unit_resolution,[status(thm)],[36136, 36135, 36129, 36123])).
% 17.31/12.57 tff(36138,plain,
% 17.31/12.57 ((~(v144(constB115) <=> (~((~v88(constB115, bitIndex2)) | (~v88(constB115, bitIndex1)) | v88(constB115, bitIndex0))))) | v144(constB115) | ((~v88(constB115, bitIndex2)) | (~v88(constB115, bitIndex1)) | v88(constB115, bitIndex0))),
% 17.31/12.57 inference(tautology,[status(thm)],[])).
% 17.31/12.57 tff(36139,plain,
% 17.31/12.57 (v144(constB115)),
% 17.31/12.57 inference(unit_resolution,[status(thm)],[36138, 36137, 36117])).
% 17.31/12.57 tff(36140,plain,
% 17.31/12.57 ((v143(constB115) | v144(constB115)) | (~v144(constB115))),
% 17.31/12.57 inference(tautology,[status(thm)],[])).
% 17.31/12.57 tff(36141,plain,
% 17.31/12.57 (v143(constB115) | v144(constB115)),
% 17.31/12.57 inference(unit_resolution,[status(thm)],[36140, 36139])).
% 17.31/12.57 tff(36142,plain,
% 17.31/12.57 ((~(v142(constB115) <=> (v143(constB115) | v144(constB115)))) | v142(constB115) | (~(v143(constB115) | v144(constB115)))),
% 17.31/12.57 inference(tautology,[status(thm)],[])).
% 17.31/12.57 tff(36143,plain,
% 17.31/12.57 (v142(constB115)),
% 17.31/12.57 inference(unit_resolution,[status(thm)],[36142, 36141, 36110])).
% 17.31/12.57 tff(36144,plain,
% 17.31/12.57 ((v142(constB115) | v150(constB115)) | (~v142(constB115))),
% 17.31/12.57 inference(tautology,[status(thm)],[])).
% 17.31/12.57 tff(36145,plain,
% 17.31/12.57 (v142(constB115) | v150(constB115)),
% 17.31/12.57 inference(unit_resolution,[status(thm)],[36144, 36143])).
% 17.31/12.57 tff(36146,plain,
% 17.31/12.57 ((~(v171(constB115) <=> (v142(constB115) | v150(constB115)))) | v171(constB115) | (~(v142(constB115) | v150(constB115)))),
% 17.31/12.57 inference(tautology,[status(thm)],[])).
% 17.31/12.57 tff(36147,plain,
% 17.31/12.57 (v171(constB115)),
% 17.31/12.57 inference(unit_resolution,[status(thm)],[36146, 36145, 36108])).
% 17.31/12.57 tff(36148,plain,
% 17.31/12.57 (((~![VarCurr: $i] : ((~v171(VarCurr)) | (~v170(VarCurr)))) | ((~v170(constB115)) | (~v171(constB115)))) <=> ((~![VarCurr: $i] : ((~v171(VarCurr)) | (~v170(VarCurr)))) | (~v170(constB115)) | (~v171(constB115)))),
% 17.31/12.57 inference(rewrite,[status(thm)],[])).
% 17.31/12.57 tff(36149,plain,
% 17.31/12.57 (((~v171(constB115)) | (~v170(constB115))) <=> ((~v170(constB115)) | (~v171(constB115)))),
% 17.31/12.57 inference(rewrite,[status(thm)],[])).
% 17.31/12.57 tff(36150,plain,
% 17.31/12.57 (((~![VarCurr: $i] : ((~v171(VarCurr)) | (~v170(VarCurr)))) | ((~v171(constB115)) | (~v170(constB115)))) <=> ((~![VarCurr: $i] : ((~v171(VarCurr)) | (~v170(VarCurr)))) | ((~v170(constB115)) | (~v171(constB115))))),
% 17.31/12.57 inference(monotonicity,[status(thm)],[36149])).
% 17.31/12.57 tff(36151,plain,
% 17.31/12.57 (((~![VarCurr: $i] : ((~v171(VarCurr)) | (~v170(VarCurr)))) | ((~v171(constB115)) | (~v170(constB115)))) <=> ((~![VarCurr: $i] : ((~v171(VarCurr)) | (~v170(VarCurr)))) | (~v170(constB115)) | (~v171(constB115)))),
% 17.31/12.58 inference(transitivity,[status(thm)],[36150, 36148])).
% 17.31/12.58 tff(36152,plain,
% 17.31/12.58 ((~![VarCurr: $i] : ((~v171(VarCurr)) | (~v170(VarCurr)))) | ((~v171(constB115)) | (~v170(constB115)))),
% 17.31/12.58 inference(quant_inst,[status(thm)],[])).
% 17.31/12.58 tff(36153,plain,
% 17.31/12.58 ((~![VarCurr: $i] : ((~v171(VarCurr)) | (~v170(VarCurr)))) | (~v170(constB115)) | (~v171(constB115))),
% 17.31/12.58 inference(modus_ponens,[status(thm)],[36152, 36151])).
% 17.31/12.58 tff(36154,plain,
% 17.31/12.58 ((~v170(constB115)) | (~v171(constB115))),
% 17.31/12.58 inference(unit_resolution,[status(thm)],[36153, 13061])).
% 17.31/12.58 tff(36155,plain,
% 17.31/12.58 (~v170(constB115)),
% 17.31/12.58 inference(unit_resolution,[status(thm)],[36154, 36147])).
% 17.31/12.58 tff(36156,plain,
% 17.31/12.58 ((~![VarCurr: $i] : (v166(VarCurr) <=> (v145(VarCurr) | v167(VarCurr)))) | (v166(constB115) <=> (v145(constB115) | v167(constB115)))),
% 17.31/12.58 inference(quant_inst,[status(thm)],[])).
% 17.31/12.58 tff(36157,plain,
% 17.31/12.58 (v166(constB115) <=> (v145(constB115) | v167(constB115))),
% 17.31/12.58 inference(unit_resolution,[status(thm)],[36156, 13079])).
% 17.31/12.58 tff(36158,plain,
% 17.31/12.58 ((~![VarCurr: $i] : (v167(VarCurr) <=> (v142(VarCurr) | v168(VarCurr)))) | (v167(constB115) <=> (v142(constB115) | v168(constB115)))),
% 17.31/12.58 inference(quant_inst,[status(thm)],[])).
% 17.31/12.58 tff(36159,plain,
% 17.31/12.58 (v167(constB115) <=> (v142(constB115) | v168(constB115))),
% 17.31/12.58 inference(unit_resolution,[status(thm)],[36158, 13091])).
% 17.31/12.58 tff(36160,plain,
% 17.31/12.58 ((v142(constB115) | v168(constB115)) | (~v142(constB115))),
% 17.31/12.58 inference(tautology,[status(thm)],[])).
% 17.31/12.58 tff(36161,plain,
% 17.31/12.58 (v142(constB115) | v168(constB115)),
% 17.31/12.58 inference(unit_resolution,[status(thm)],[36160, 36143])).
% 17.31/12.58 tff(36162,plain,
% 17.31/12.58 ((~(v167(constB115) <=> (v142(constB115) | v168(constB115)))) | v167(constB115) | (~(v142(constB115) | v168(constB115)))),
% 17.31/12.58 inference(tautology,[status(thm)],[])).
% 17.31/12.58 tff(36163,plain,
% 17.31/12.58 (v167(constB115)),
% 17.31/12.58 inference(unit_resolution,[status(thm)],[36162, 36161, 36159])).
% 17.31/12.58 tff(36164,plain,
% 17.31/12.58 ((v145(constB115) | v167(constB115)) | (~v167(constB115))),
% 17.31/12.58 inference(tautology,[status(thm)],[])).
% 17.31/12.58 tff(36165,plain,
% 17.31/12.58 (v145(constB115) | v167(constB115)),
% 17.31/12.58 inference(unit_resolution,[status(thm)],[36164, 36163])).
% 17.31/12.58 tff(36166,plain,
% 17.31/12.58 ((~(v166(constB115) <=> (v145(constB115) | v167(constB115)))) | v166(constB115) | (~(v145(constB115) | v167(constB115)))),
% 17.31/12.58 inference(tautology,[status(thm)],[])).
% 17.31/12.58 tff(36167,plain,
% 17.31/12.58 (v166(constB115)),
% 17.31/12.58 inference(unit_resolution,[status(thm)],[36166, 36165, 36157])).
% 17.31/12.58 tff(36168,plain,
% 17.31/12.58 (((~![VarNext: $i] : ((~v166(VarNext)) | (v163(VarNext) <=> v170(VarNext)))) | ((~v166(constB115)) | (v163(constB115) <=> v170(constB115)))) <=> ((~![VarNext: $i] : ((~v166(VarNext)) | (v163(VarNext) <=> v170(VarNext)))) | (~v166(constB115)) | (v163(constB115) <=> v170(constB115)))),
% 17.31/12.58 inference(rewrite,[status(thm)],[])).
% 17.31/12.58 tff(36169,plain,
% 17.31/12.58 ((~![VarNext: $i] : ((~v166(VarNext)) | (v163(VarNext) <=> v170(VarNext)))) | ((~v166(constB115)) | (v163(constB115) <=> v170(constB115)))),
% 17.31/12.58 inference(quant_inst,[status(thm)],[])).
% 17.31/12.58 tff(36170,plain,
% 17.31/12.58 ((~![VarNext: $i] : ((~v166(VarNext)) | (v163(VarNext) <=> v170(VarNext)))) | (~v166(constB115)) | (v163(constB115) <=> v170(constB115))),
% 17.31/12.58 inference(modus_ponens,[status(thm)],[36169, 36168])).
% 17.31/12.58 tff(36171,plain,
% 17.31/12.58 ((~v166(constB115)) | (v163(constB115) <=> v170(constB115))),
% 17.31/12.58 inference(unit_resolution,[status(thm)],[36170, 13111])).
% 17.31/12.58 tff(36172,plain,
% 17.31/12.58 (v163(constB115) <=> v170(constB115)),
% 17.31/12.58 inference(unit_resolution,[status(thm)],[36171, 36167])).
% 17.31/12.58 tff(36173,plain,
% 17.31/12.58 ((~(v163(constB115) <=> v170(constB115))) | (~v163(constB115)) | v170(constB115)),
% 17.31/12.58 inference(tautology,[status(thm)],[])).
% 17.31/12.58 tff(36174,plain,
% 17.31/12.58 (~v163(constB115)),
% 17.31/12.58 inference(unit_resolution,[status(thm)],[36173, 36172, 36155])).
% 17.31/12.58 tff(36175,plain,
% 17.31/12.58 ((~(v161(constB115) <=> v163(constB115))) | (~v161(constB115)) | v163(constB115)),
% 17.31/12.58 inference(tautology,[status(thm)],[])).
% 17.31/12.58 tff(36176,plain,
% 17.31/12.58 (~v161(constB115)),
% 17.31/12.58 inference(unit_resolution,[status(thm)],[36175, 36174, 36106])).
% 17.31/12.58 tff(36177,plain,
% 17.31/12.58 (((~v159(constB115)) | (~v161(constB115))) | v161(constB115)),
% 17.31/12.58 inference(tautology,[status(thm)],[])).
% 17.31/12.58 tff(36178,plain,
% 17.31/12.58 ((~v159(constB115)) | (~v161(constB115))),
% 17.31/12.58 inference(unit_resolution,[status(thm)],[36177, 36176])).
% 17.31/12.58 tff(36179,plain,
% 17.31/12.58 ((~(v201(constB115) <=> (~((~v159(constB115)) | (~v161(constB115)))))) | (~v201(constB115)) | (~((~v159(constB115)) | (~v161(constB115))))),
% 17.31/12.58 inference(tautology,[status(thm)],[])).
% 17.31/12.58 tff(36180,plain,
% 17.31/12.58 (~v201(constB115)),
% 17.31/12.58 inference(unit_resolution,[status(thm)],[36179, 36178, 36104])).
% 17.31/12.58 tff(36181,plain,
% 17.31/12.58 (((~v197(constB115)) | (~v201(constB115))) | v201(constB115)),
% 17.31/12.58 inference(tautology,[status(thm)],[])).
% 17.31/12.58 tff(36182,plain,
% 17.31/12.58 ((~v197(constB115)) | (~v201(constB115))),
% 17.31/12.58 inference(unit_resolution,[status(thm)],[36181, 36180])).
% 17.31/12.58 tff(36183,plain,
% 17.31/12.58 ((~(v200(constB115) <=> (~((~v197(constB115)) | (~v201(constB115)))))) | (~v200(constB115)) | (~((~v197(constB115)) | (~v201(constB115))))),
% 17.31/12.58 inference(tautology,[status(thm)],[])).
% 17.31/12.58 tff(36184,plain,
% 17.31/12.58 (~v200(constB115)),
% 17.31/12.58 inference(unit_resolution,[status(thm)],[36183, 36182, 36102])).
% 17.31/12.58 tff(36185,plain,
% 17.31/12.58 (((~v199(constB115)) | (~v200(constB115))) | v200(constB115)),
% 17.31/12.58 inference(tautology,[status(thm)],[])).
% 17.31/12.58 tff(36186,plain,
% 17.31/12.58 ((~v199(constB115)) | (~v200(constB115))),
% 17.31/12.58 inference(unit_resolution,[status(thm)],[36185, 36184])).
% 17.31/12.58 tff(36187,plain,
% 17.31/12.58 ((~(v198(constB115) <=> (~((~v199(constB115)) | (~v200(constB115)))))) | (~v198(constB115)) | (~((~v199(constB115)) | (~v200(constB115))))),
% 17.31/12.58 inference(tautology,[status(thm)],[])).
% 17.31/12.58 tff(36188,plain,
% 17.31/12.58 (~v198(constB115)),
% 17.31/12.58 inference(unit_resolution,[status(thm)],[36187, 36186, 36100])).
% 17.31/12.58 tff(36189,plain,
% 17.31/12.58 ((~(v194(constB115) | v198(constB115))) | v194(constB115) | v198(constB115)),
% 17.31/12.58 inference(tautology,[status(thm)],[])).
% 17.31/12.58 tff(36190,plain,
% 17.31/12.58 (~(v194(constB115) | v198(constB115))),
% 17.31/12.58 inference(unit_resolution,[status(thm)],[36189, 36188, 36098])).
% 17.31/12.58 tff(36191,plain,
% 17.31/12.58 ((~(v191(constB115) <=> (v194(constB115) | v198(constB115)))) | (~v191(constB115)) | (v194(constB115) | v198(constB115))),
% 17.31/12.58 inference(tautology,[status(thm)],[])).
% 17.31/12.58 tff(36192,plain,
% 17.31/12.58 (~v191(constB115)),
% 17.31/12.58 inference(unit_resolution,[status(thm)],[36191, 36190, 36025])).
% 17.31/12.58 tff(36193,plain,
% 17.31/12.58 ((~(v193(constB116) <=> v191(constB115))) | (~v193(constB116)) | v191(constB115)),
% 17.31/12.58 inference(tautology,[status(thm)],[])).
% 17.31/12.58 tff(36194,plain,
% 17.31/12.58 (~v193(constB116)),
% 17.31/12.58 inference(unit_resolution,[status(thm)],[36193, 36192, 36023])).
% 17.31/12.58 tff(36195,plain,
% 17.31/12.58 ((~(v157(constB116) <=> v193(constB116))) | (~v157(constB116)) | v193(constB116)),
% 17.31/12.58 inference(tautology,[status(thm)],[])).
% 17.31/12.58 tff(36196,plain,
% 17.31/12.58 (~v157(constB116)),
% 17.31/12.58 inference(unit_resolution,[status(thm)],[36195, 36194, 36019])).
% 17.31/12.58 tff(36197,plain,
% 17.31/12.58 (((~v157(constB116)) | (~v195(constB116))) | v157(constB116)),
% 17.31/12.58 inference(tautology,[status(thm)],[])).
% 17.31/12.58 tff(36198,plain,
% 17.31/12.58 ((~v157(constB116)) | (~v195(constB116))),
% 17.31/12.58 inference(unit_resolution,[status(thm)],[36197, 36196])).
% 17.31/12.58 tff(36199,plain,
% 17.31/12.58 ((~(v194(constB116) <=> (~((~v157(constB116)) | (~v195(constB116)))))) | (~v194(constB116)) | (~((~v157(constB116)) | (~v195(constB116))))),
% 17.31/12.58 inference(tautology,[status(thm)],[])).
% 17.31/12.58 tff(36200,plain,
% 17.31/12.58 (~v194(constB116)),
% 17.31/12.58 inference(unit_resolution,[status(thm)],[36199, 36198, 36017])).
% 17.31/12.58 tff(36201,plain,
% 17.31/12.58 ((~(v194(constB116) | v198(constB116))) | v194(constB116) | v198(constB116)),
% 17.31/12.58 inference(tautology,[status(thm)],[])).
% 17.31/12.58 tff(36202,plain,
% 17.31/12.58 (~(v194(constB116) | v198(constB116))),
% 17.31/12.58 inference(unit_resolution,[status(thm)],[36201, 36200, 36010])).
% 17.31/12.58 tff(36203,plain,
% 17.31/12.58 ((~(v191(constB116) <=> (v194(constB116) | v198(constB116)))) | (~v191(constB116)) | (v194(constB116) | v198(constB116))),
% 17.31/12.58 inference(tautology,[status(thm)],[])).
% 17.31/12.58 tff(36204,plain,
% 17.31/12.58 (~v191(constB116)),
% 17.31/12.58 inference(unit_resolution,[status(thm)],[36203, 36202, 35985])).
% 17.31/12.58 tff(36205,plain,
% 17.31/12.58 ((~(v193(constB117) <=> v191(constB116))) | (~v193(constB117)) | v191(constB116)),
% 17.31/12.58 inference(tautology,[status(thm)],[])).
% 17.31/12.58 tff(36206,plain,
% 17.31/12.58 (~v193(constB117)),
% 17.31/12.58 inference(unit_resolution,[status(thm)],[36205, 36204, 35983])).
% 17.31/12.58 tff(36207,plain,
% 17.31/12.58 ($false),
% 17.31/12.58 inference(unit_resolution,[status(thm)],[36206, 35979])).
% 17.31/12.58 tff(36208,plain,(~(constB117 = VarCurr!0)), inference(lemma,lemma(discharge,[]))).
% 17.31/12.58 tff(36209,assumption,(constB199 = VarCurr!0), introduced(assumption)).
% 17.31/12.58 tff(36210,plain,
% 17.31/12.58 (v86(constB199) <=> v86(VarCurr!0)),
% 17.31/12.58 inference(monotonicity,[status(thm)],[36209])).
% 17.31/12.58 tff(36211,plain,
% 17.31/12.58 (v86(VarCurr!0) <=> v86(constB199)),
% 17.31/12.58 inference(symmetry,[status(thm)],[36210])).
% 17.31/12.58 tff(36212,plain,
% 17.31/12.58 ((~v86(VarCurr!0)) <=> (~v86(constB199))),
% 17.31/12.58 inference(monotonicity,[status(thm)],[36211])).
% 17.31/12.58 tff(36213,plain,
% 17.31/12.58 (~v86(constB199)),
% 17.31/12.58 inference(modus_ponens,[status(thm)],[20649, 36212])).
% 17.31/12.58 tff(36214,plain,
% 17.31/12.58 ((~![VarCurr: $i] : (v142(VarCurr) <=> (v143(VarCurr) | v144(VarCurr)))) | (v142(constB199) <=> (v143(constB199) | v144(constB199)))),
% 17.31/12.58 inference(quant_inst,[status(thm)],[])).
% 17.31/12.58 tff(36215,plain,
% 17.31/12.58 (v142(constB199) <=> (v143(constB199) | v144(constB199))),
% 17.31/12.58 inference(unit_resolution,[status(thm)],[36214, 378])).
% 17.31/12.58 tff(36216,plain,
% 17.31/12.58 (((~![VarCurr: $i] : (v143(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)))))) | (v143(constB199) <=> (~(v88(constB199, bitIndex2) | (~v88(constB199, bitIndex1)) | v88(constB199, bitIndex0))))) <=> ((~![VarCurr: $i] : (v143(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)))))) | (v143(constB199) <=> (~(v88(constB199, bitIndex2) | (~v88(constB199, bitIndex1)) | v88(constB199, bitIndex0)))))),
% 17.31/12.58 inference(rewrite,[status(thm)],[])).
% 17.31/12.58 tff(36217,plain,
% 17.31/12.58 ((v143(constB199) <=> (~(v88(constB199, bitIndex0) | v88(constB199, bitIndex2) | (~v88(constB199, bitIndex1))))) <=> (v143(constB199) <=> (~(v88(constB199, bitIndex2) | (~v88(constB199, bitIndex1)) | v88(constB199, bitIndex0))))),
% 17.31/12.58 inference(rewrite,[status(thm)],[])).
% 17.31/12.58 tff(36218,plain,
% 17.31/12.58 (((~![VarCurr: $i] : (v143(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)))))) | (v143(constB199) <=> (~(v88(constB199, bitIndex0) | v88(constB199, bitIndex2) | (~v88(constB199, bitIndex1)))))) <=> ((~![VarCurr: $i] : (v143(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)))))) | (v143(constB199) <=> (~(v88(constB199, bitIndex2) | (~v88(constB199, bitIndex1)) | v88(constB199, bitIndex0)))))),
% 17.31/12.58 inference(monotonicity,[status(thm)],[36217])).
% 17.31/12.58 tff(36219,plain,
% 17.31/12.58 (((~![VarCurr: $i] : (v143(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)))))) | (v143(constB199) <=> (~(v88(constB199, bitIndex0) | v88(constB199, bitIndex2) | (~v88(constB199, bitIndex1)))))) <=> ((~![VarCurr: $i] : (v143(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)))))) | (v143(constB199) <=> (~(v88(constB199, bitIndex2) | (~v88(constB199, bitIndex1)) | v88(constB199, bitIndex0)))))),
% 17.31/12.58 inference(transitivity,[status(thm)],[36218, 36216])).
% 17.31/12.58 tff(36220,plain,
% 17.31/12.58 ((~![VarCurr: $i] : (v143(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)))))) | (v143(constB199) <=> (~(v88(constB199, bitIndex0) | v88(constB199, bitIndex2) | (~v88(constB199, bitIndex1)))))),
% 17.31/12.58 inference(quant_inst,[status(thm)],[])).
% 17.31/12.58 tff(36221,plain,
% 17.31/12.58 ((~![VarCurr: $i] : (v143(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)))))) | (v143(constB199) <=> (~(v88(constB199, bitIndex2) | (~v88(constB199, bitIndex1)) | v88(constB199, bitIndex0))))),
% 17.31/12.58 inference(modus_ponens,[status(thm)],[36220, 36219])).
% 17.31/12.58 tff(36222,plain,
% 17.31/12.58 (v143(constB199) <=> (~(v88(constB199, bitIndex2) | (~v88(constB199, bitIndex1)) | v88(constB199, bitIndex0)))),
% 17.31/12.58 inference(unit_resolution,[status(thm)],[36221, 20665])).
% 17.31/12.58 tff(36223,plain,
% 17.31/12.58 (((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | ((~less_3(bitIndex2)) | (v88(constB199, bitIndex2) <=> v90(constB199, bitIndex2)))) <=> ((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | (~less_3(bitIndex2)) | (v88(constB199, bitIndex2) <=> v90(constB199, bitIndex2)))),
% 17.31/12.58 inference(rewrite,[status(thm)],[])).
% 17.31/12.58 tff(36224,plain,
% 17.31/12.58 ((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | ((~less_3(bitIndex2)) | (v88(constB199, bitIndex2) <=> v90(constB199, bitIndex2)))),
% 17.31/12.58 inference(quant_inst,[status(thm)],[])).
% 17.31/12.58 tff(36225,plain,
% 17.31/12.58 ((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | (~less_3(bitIndex2)) | (v88(constB199, bitIndex2) <=> v90(constB199, bitIndex2))),
% 17.31/12.58 inference(modus_ponens,[status(thm)],[36224, 36223])).
% 17.31/12.58 tff(36226,plain,
% 17.31/12.58 (v88(constB199, bitIndex2) <=> v90(constB199, bitIndex2)),
% 17.31/12.58 inference(unit_resolution,[status(thm)],[36225, 413, 410])).
% 17.31/12.58 tff(36227,plain,
% 17.31/12.58 (nextState(constB198, constB199) <=> nextState(constB198, constB199)),
% 17.31/12.58 inference(rewrite,[status(thm)],[])).
% 17.31/12.58 tff(36228,axiom,(nextState(constB198, constB199)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_198')).
% 17.31/12.58 tff(36229,plain,
% 17.31/12.58 (nextState(constB198, constB199)),
% 17.31/12.58 inference(modus_ponens,[status(thm)],[36228, 36227])).
% 17.31/12.58 tff(36230,plain,
% 17.31/12.58 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB198, constB199)) | (v100(constB199) <=> (~((~v101(constB199)) | (~v110(constB199))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB198, constB199)) | (v100(constB199) <=> (~((~v101(constB199)) | (~v110(constB199))))))),
% 17.31/12.58 inference(rewrite,[status(thm)],[])).
% 17.31/12.58 tff(36231,plain,
% 17.31/12.58 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB198, constB199)) | (v100(constB199) <=> (~((~v101(constB199)) | (~v110(constB199))))))),
% 17.31/12.58 inference(quant_inst,[status(thm)],[])).
% 17.31/12.58 tff(36232,plain,
% 17.31/12.58 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB198, constB199)) | (v100(constB199) <=> (~((~v101(constB199)) | (~v110(constB199)))))),
% 17.31/12.58 inference(modus_ponens,[status(thm)],[36231, 36230])).
% 17.31/12.58 tff(36233,plain,
% 17.31/12.58 (v100(constB199) <=> (~((~v101(constB199)) | (~v110(constB199))))),
% 17.31/12.58 inference(unit_resolution,[status(thm)],[36232, 36229, 430])).
% 17.31/12.58 tff(36234,plain,
% 17.31/12.58 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB198, constB199)) | (v101(constB199) <=> (~((~v1(constB199)) | (~v102(constB199))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB198, constB199)) | (v101(constB199) <=> (~((~v1(constB199)) | (~v102(constB199))))))),
% 17.31/12.58 inference(rewrite,[status(thm)],[])).
% 17.31/12.58 tff(36235,plain,
% 17.31/12.58 (((~nextState(constB198, constB199)) | (v101(constB199) <=> (~((~v102(constB199)) | (~v1(constB199)))))) <=> ((~nextState(constB198, constB199)) | (v101(constB199) <=> (~((~v1(constB199)) | (~v102(constB199))))))),
% 17.31/12.58 inference(rewrite,[status(thm)],[])).
% 17.31/12.58 tff(36236,plain,
% 17.31/12.58 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB198, constB199)) | (v101(constB199) <=> (~((~v102(constB199)) | (~v1(constB199))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB198, constB199)) | (v101(constB199) <=> (~((~v1(constB199)) | (~v102(constB199)))))))),
% 17.31/12.58 inference(monotonicity,[status(thm)],[36235])).
% 17.31/12.58 tff(36237,plain,
% 17.31/12.58 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB198, constB199)) | (v101(constB199) <=> (~((~v102(constB199)) | (~v1(constB199))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB198, constB199)) | (v101(constB199) <=> (~((~v1(constB199)) | (~v102(constB199))))))),
% 17.31/12.58 inference(transitivity,[status(thm)],[36236, 36234])).
% 17.31/12.58 tff(36238,plain,
% 17.31/12.58 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB198, constB199)) | (v101(constB199) <=> (~((~v102(constB199)) | (~v1(constB199))))))),
% 17.31/12.58 inference(quant_inst,[status(thm)],[])).
% 17.31/12.58 tff(36239,plain,
% 17.31/12.58 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB198, constB199)) | (v101(constB199) <=> (~((~v1(constB199)) | (~v102(constB199)))))),
% 17.31/12.58 inference(modus_ponens,[status(thm)],[36238, 36237])).
% 17.31/12.58 tff(36240,plain,
% 17.31/12.58 (v101(constB199) <=> (~((~v1(constB199)) | (~v102(constB199))))),
% 17.31/12.58 inference(unit_resolution,[status(thm)],[36239, 36229, 450])).
% 17.31/12.58 tff(36241,plain,
% 17.31/12.58 ((~v1(constB199)) <=> (~v1(constB199))),
% 17.31/12.58 inference(rewrite,[status(thm)],[])).
% 17.31/12.58 tff(36242,axiom,(~v1(constB199)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_199')).
% 17.31/12.58 tff(36243,plain,
% 17.31/12.58 (~v1(constB199)),
% 17.31/12.58 inference(modus_ponens,[status(thm)],[36242, 36241])).
% 17.31/12.58 tff(36244,plain,
% 17.31/12.58 (((~v1(constB199)) | (~v102(constB199))) | v1(constB199)),
% 17.31/12.58 inference(tautology,[status(thm)],[])).
% 17.31/12.58 tff(36245,plain,
% 17.31/12.58 ((~v1(constB199)) | (~v102(constB199))),
% 17.31/12.58 inference(unit_resolution,[status(thm)],[36244, 36243])).
% 17.31/12.58 tff(36246,plain,
% 17.31/12.58 ((~(v101(constB199) <=> (~((~v1(constB199)) | (~v102(constB199)))))) | (~v101(constB199)) | (~((~v1(constB199)) | (~v102(constB199))))),
% 17.31/12.58 inference(tautology,[status(thm)],[])).
% 17.31/12.58 tff(36247,plain,
% 17.31/12.58 ((~(v101(constB199) <=> (~((~v1(constB199)) | (~v102(constB199)))))) | (~v101(constB199))),
% 17.31/12.58 inference(unit_resolution,[status(thm)],[36246, 36245])).
% 17.31/12.58 tff(36248,plain,
% 17.31/12.58 (~v101(constB199)),
% 17.31/12.58 inference(unit_resolution,[status(thm)],[36247, 36240])).
% 17.31/12.58 tff(36249,plain,
% 17.31/12.58 (((~v101(constB199)) | (~v110(constB199))) | v101(constB199)),
% 17.31/12.58 inference(tautology,[status(thm)],[])).
% 17.31/12.58 tff(36250,plain,
% 17.31/12.58 ((~v101(constB199)) | (~v110(constB199))),
% 17.31/12.58 inference(unit_resolution,[status(thm)],[36249, 36248])).
% 17.31/12.58 tff(36251,plain,
% 17.31/12.58 ((~(v100(constB199) <=> (~((~v101(constB199)) | (~v110(constB199)))))) | (~v100(constB199)) | (~((~v101(constB199)) | (~v110(constB199))))),
% 17.31/12.58 inference(tautology,[status(thm)],[])).
% 17.31/12.58 tff(36252,plain,
% 17.31/12.58 (~v100(constB199)),
% 17.31/12.58 inference(unit_resolution,[status(thm)],[36251, 36250, 36233])).
% 17.31/12.58 tff(36253,plain,
% 17.31/12.58 (((~![VarCurr: $i, VarNext: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v90(VarCurr, B))))) | (v100(constB199) | (~nextState(constB198, constB199)) | ![B: $i] : ((~less_3(B)) | (v90(constB199, B) <=> v90(constB198, B))))) <=> ((~![VarCurr: $i, VarNext: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v90(VarCurr, B))))) | v100(constB199) | (~nextState(constB198, constB199)) | ![B: $i] : ((~less_3(B)) | (v90(constB199, B) <=> v90(constB198, B))))),
% 17.31/12.58 inference(rewrite,[status(thm)],[])).
% 17.31/12.58 tff(36254,plain,
% 17.31/12.58 ((~![VarCurr: $i, VarNext: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v90(VarCurr, B))))) | (v100(constB199) | (~nextState(constB198, constB199)) | ![B: $i] : ((~less_3(B)) | (v90(constB199, B) <=> v90(constB198, B))))),
% 17.31/12.58 inference(quant_inst,[status(thm)],[])).
% 17.31/12.58 tff(36255,plain,
% 17.31/12.58 ((~![VarCurr: $i, VarNext: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v90(VarCurr, B))))) | v100(constB199) | (~nextState(constB198, constB199)) | ![B: $i] : ((~less_3(B)) | (v90(constB199, B) <=> v90(constB198, B)))),
% 17.31/12.59 inference(modus_ponens,[status(thm)],[36254, 36253])).
% 17.31/12.59 tff(36256,plain,
% 17.31/12.59 (v100(constB199) | ![B: $i] : ((~less_3(B)) | (v90(constB199, B) <=> v90(constB198, B)))),
% 17.31/12.59 inference(unit_resolution,[status(thm)],[36255, 36229, 479])).
% 17.31/12.59 tff(36257,plain,
% 17.31/12.59 (![B: $i] : ((~less_3(B)) | (v90(constB199, B) <=> v90(constB198, B)))),
% 17.31/12.59 inference(unit_resolution,[status(thm)],[36256, 36252])).
% 17.31/12.59 tff(36258,plain,
% 17.31/12.59 (((~![B: $i] : ((~less_3(B)) | (v90(constB199, B) <=> v90(constB198, B)))) | ((~less_3(bitIndex2)) | (v90(constB199, bitIndex2) <=> v90(constB198, bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v90(constB199, B) <=> v90(constB198, B)))) | (~less_3(bitIndex2)) | (v90(constB199, bitIndex2) <=> v90(constB198, bitIndex2)))),
% 17.31/12.59 inference(rewrite,[status(thm)],[])).
% 17.31/12.59 tff(36259,plain,
% 17.31/12.59 ((~![B: $i] : ((~less_3(B)) | (v90(constB199, B) <=> v90(constB198, B)))) | ((~less_3(bitIndex2)) | (v90(constB199, bitIndex2) <=> v90(constB198, bitIndex2)))),
% 17.31/12.59 inference(quant_inst,[status(thm)],[])).
% 17.31/12.59 tff(36260,plain,
% 17.31/12.59 ((~![B: $i] : ((~less_3(B)) | (v90(constB199, B) <=> v90(constB198, B)))) | (~less_3(bitIndex2)) | (v90(constB199, bitIndex2) <=> v90(constB198, bitIndex2))),
% 17.31/12.59 inference(modus_ponens,[status(thm)],[36259, 36258])).
% 17.31/12.59 tff(36261,plain,
% 17.31/12.59 (v90(constB199, bitIndex2) <=> v90(constB198, bitIndex2)),
% 17.31/12.59 inference(unit_resolution,[status(thm)],[36260, 413, 36257])).
% 17.31/12.59 tff(36262,plain,
% 17.31/12.59 (nextState(constB197, constB198) <=> nextState(constB197, constB198)),
% 17.31/12.59 inference(rewrite,[status(thm)],[])).
% 17.31/12.59 tff(36263,axiom,(nextState(constB197, constB198)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_197')).
% 17.31/12.59 tff(36264,plain,
% 17.31/12.59 (nextState(constB197, constB198)),
% 17.31/12.59 inference(modus_ponens,[status(thm)],[36263, 36262])).
% 17.31/12.59 tff(36265,plain,
% 17.31/12.59 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB197, constB198)) | (v100(constB198) <=> (~((~v101(constB198)) | (~v110(constB198))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB197, constB198)) | (v100(constB198) <=> (~((~v101(constB198)) | (~v110(constB198))))))),
% 17.31/12.59 inference(rewrite,[status(thm)],[])).
% 17.31/12.59 tff(36266,plain,
% 17.31/12.59 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB197, constB198)) | (v100(constB198) <=> (~((~v101(constB198)) | (~v110(constB198))))))),
% 17.31/12.59 inference(quant_inst,[status(thm)],[])).
% 17.31/12.59 tff(36267,plain,
% 17.31/12.59 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB197, constB198)) | (v100(constB198) <=> (~((~v101(constB198)) | (~v110(constB198)))))),
% 17.31/12.59 inference(modus_ponens,[status(thm)],[36266, 36265])).
% 17.31/12.59 tff(36268,plain,
% 17.31/12.59 (v100(constB198) <=> (~((~v101(constB198)) | (~v110(constB198))))),
% 17.31/12.59 inference(unit_resolution,[status(thm)],[36267, 36264, 430])).
% 17.31/12.59 tff(36269,plain,
% 17.31/12.59 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB197, constB198)) | (v101(constB198) <=> (~((~v1(constB198)) | (~v102(constB198))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB197, constB198)) | (v101(constB198) <=> (~((~v1(constB198)) | (~v102(constB198))))))),
% 17.31/12.59 inference(rewrite,[status(thm)],[])).
% 17.31/12.59 tff(36270,plain,
% 17.31/12.59 (((~nextState(constB197, constB198)) | (v101(constB198) <=> (~((~v102(constB198)) | (~v1(constB198)))))) <=> ((~nextState(constB197, constB198)) | (v101(constB198) <=> (~((~v1(constB198)) | (~v102(constB198))))))),
% 17.31/12.59 inference(rewrite,[status(thm)],[])).
% 17.31/12.59 tff(36271,plain,
% 17.31/12.59 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB197, constB198)) | (v101(constB198) <=> (~((~v102(constB198)) | (~v1(constB198))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB197, constB198)) | (v101(constB198) <=> (~((~v1(constB198)) | (~v102(constB198)))))))),
% 17.31/12.59 inference(monotonicity,[status(thm)],[36270])).
% 17.31/12.59 tff(36272,plain,
% 17.31/12.59 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB197, constB198)) | (v101(constB198) <=> (~((~v102(constB198)) | (~v1(constB198))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB197, constB198)) | (v101(constB198) <=> (~((~v1(constB198)) | (~v102(constB198))))))),
% 17.31/12.59 inference(transitivity,[status(thm)],[36271, 36269])).
% 17.31/12.59 tff(36273,plain,
% 17.31/12.59 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB197, constB198)) | (v101(constB198) <=> (~((~v102(constB198)) | (~v1(constB198))))))),
% 17.31/12.59 inference(quant_inst,[status(thm)],[])).
% 17.31/12.59 tff(36274,plain,
% 17.31/12.59 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB197, constB198)) | (v101(constB198) <=> (~((~v1(constB198)) | (~v102(constB198)))))),
% 17.31/12.59 inference(modus_ponens,[status(thm)],[36273, 36272])).
% 17.31/12.59 tff(36275,plain,
% 17.31/12.59 (v101(constB198) <=> (~((~v1(constB198)) | (~v102(constB198))))),
% 17.31/12.59 inference(unit_resolution,[status(thm)],[36274, 36264, 450])).
% 17.31/12.59 tff(36276,plain,
% 17.31/12.59 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | ((~nextState(constB197, constB198)) | ((~v102(constB198)) <=> v104(constB198)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | (~nextState(constB197, constB198)) | ((~v102(constB198)) <=> v104(constB198)))),
% 17.31/12.59 inference(rewrite,[status(thm)],[])).
% 17.31/12.59 tff(36277,plain,
% 17.31/12.59 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | ((~nextState(constB197, constB198)) | ((~v102(constB198)) <=> v104(constB198)))),
% 17.31/12.59 inference(quant_inst,[status(thm)],[])).
% 17.31/12.59 tff(36278,plain,
% 17.31/12.59 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | (~nextState(constB197, constB198)) | ((~v102(constB198)) <=> v104(constB198))),
% 17.31/12.59 inference(modus_ponens,[status(thm)],[36277, 36276])).
% 17.31/12.59 tff(36279,plain,
% 17.31/12.59 ((~v102(constB198)) <=> v104(constB198)),
% 17.31/12.59 inference(unit_resolution,[status(thm)],[36278, 36264, 512])).
% 17.31/12.59 tff(36280,plain,
% 17.31/12.59 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB197, constB198)) | (v104(constB198) <=> v1(constB197)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | (~nextState(constB197, constB198)) | (v104(constB198) <=> v1(constB197)))),
% 17.31/12.59 inference(rewrite,[status(thm)],[])).
% 17.31/12.59 tff(36281,plain,
% 17.31/12.59 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB197, constB198)) | (v104(constB198) <=> v1(constB197)))),
% 17.31/12.59 inference(quant_inst,[status(thm)],[])).
% 17.31/12.59 tff(36282,plain,
% 17.31/12.59 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | (~nextState(constB197, constB198)) | (v104(constB198) <=> v1(constB197))),
% 17.31/12.59 inference(modus_ponens,[status(thm)],[36281, 36280])).
% 17.31/12.59 tff(36283,plain,
% 17.31/12.59 (v104(constB198) <=> v1(constB197)),
% 17.31/12.59 inference(unit_resolution,[status(thm)],[36282, 36264, 526])).
% 17.31/12.59 tff(36284,plain,
% 17.31/12.59 ((~v1(constB197)) <=> (~v1(constB197))),
% 17.31/12.59 inference(rewrite,[status(thm)],[])).
% 17.31/12.59 tff(36285,axiom,(~v1(constB197)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_197')).
% 17.31/12.59 tff(36286,plain,
% 17.31/12.59 (~v1(constB197)),
% 17.31/12.59 inference(modus_ponens,[status(thm)],[36285, 36284])).
% 17.31/12.59 tff(36287,plain,
% 17.31/12.59 ((~(v104(constB198) <=> v1(constB197))) | (~v104(constB198)) | v1(constB197)),
% 17.31/12.59 inference(tautology,[status(thm)],[])).
% 17.31/12.59 tff(36288,plain,
% 17.31/12.59 ((~(v104(constB198) <=> v1(constB197))) | (~v104(constB198))),
% 17.31/12.59 inference(unit_resolution,[status(thm)],[36287, 36286])).
% 17.31/12.59 tff(36289,plain,
% 17.31/12.59 (~v104(constB198)),
% 17.31/12.59 inference(unit_resolution,[status(thm)],[36288, 36283])).
% 17.31/12.59 tff(36290,plain,
% 17.31/12.59 ((~((~v102(constB198)) <=> v104(constB198))) | v102(constB198) | v104(constB198)),
% 17.31/12.59 inference(tautology,[status(thm)],[])).
% 17.31/12.59 tff(36291,plain,
% 17.31/12.59 (v102(constB198)),
% 17.31/12.59 inference(unit_resolution,[status(thm)],[36290, 36289, 36279])).
% 17.31/12.59 tff(36292,plain,
% 17.31/12.59 (v1(constB198) <=> v1(constB198)),
% 17.31/12.59 inference(rewrite,[status(thm)],[])).
% 17.31/12.59 tff(36293,axiom,(v1(constB198)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_198')).
% 17.31/12.59 tff(36294,plain,
% 17.31/12.59 (v1(constB198)),
% 17.31/12.59 inference(modus_ponens,[status(thm)],[36293, 36292])).
% 17.31/12.59 tff(36295,plain,
% 17.31/12.59 ((~((~v1(constB198)) | (~v102(constB198)))) | (~v1(constB198)) | (~v102(constB198))),
% 17.31/12.59 inference(tautology,[status(thm)],[])).
% 17.31/12.59 tff(36296,plain,
% 17.31/12.59 ((~((~v1(constB198)) | (~v102(constB198)))) | (~v102(constB198))),
% 17.31/12.59 inference(unit_resolution,[status(thm)],[36295, 36294])).
% 17.31/12.59 tff(36297,plain,
% 17.31/12.59 (~((~v1(constB198)) | (~v102(constB198)))),
% 17.31/12.59 inference(unit_resolution,[status(thm)],[36296, 36291])).
% 17.31/12.59 tff(36298,plain,
% 17.31/12.59 ((~(v101(constB198) <=> (~((~v1(constB198)) | (~v102(constB198)))))) | v101(constB198) | ((~v1(constB198)) | (~v102(constB198)))),
% 17.31/12.59 inference(tautology,[status(thm)],[])).
% 17.31/12.59 tff(36299,plain,
% 17.31/12.59 (v101(constB198)),
% 17.31/12.59 inference(unit_resolution,[status(thm)],[36298, 36297, 36275])).
% 17.31/12.59 tff(36300,plain,
% 17.31/12.59 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | ((~nextState(constB197, constB198)) | (v110(constB198) <=> v108(constB197)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | (~nextState(constB197, constB198)) | (v110(constB198) <=> v108(constB197)))),
% 17.31/12.59 inference(rewrite,[status(thm)],[])).
% 17.31/12.59 tff(36301,plain,
% 17.31/12.59 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | ((~nextState(constB197, constB198)) | (v110(constB198) <=> v108(constB197)))),
% 17.31/12.59 inference(quant_inst,[status(thm)],[])).
% 17.31/12.59 tff(36302,plain,
% 17.31/12.59 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | (~nextState(constB197, constB198)) | (v110(constB198) <=> v108(constB197))),
% 17.31/12.59 inference(modus_ponens,[status(thm)],[36301, 36300])).
% 17.31/12.59 tff(36303,plain,
% 17.31/12.59 (v110(constB198) <=> v108(constB197)),
% 17.31/12.59 inference(unit_resolution,[status(thm)],[36302, 36264, 556])).
% 17.31/12.59 tff(36304,plain,
% 17.31/12.59 ((~![VarCurr: $i] : (v108(VarCurr) <=> (v111(VarCurr) | v112(VarCurr)))) | (v108(constB197) <=> (v111(constB197) | v112(constB197)))),
% 17.31/12.59 inference(quant_inst,[status(thm)],[])).
% 17.31/12.59 tff(36305,plain,
% 17.31/12.59 (v108(constB197) <=> (v111(constB197) | v112(constB197))),
% 17.31/12.59 inference(unit_resolution,[status(thm)],[36304, 567])).
% 17.31/12.59 tff(36306,plain,
% 17.31/12.59 ((~![VarCurr: $i] : (v112(VarCurr) <=> (~((~v113(VarCurr)) | (~v126(VarCurr)))))) | (v112(constB197) <=> (~((~v113(constB197)) | (~v126(constB197)))))),
% 17.31/12.59 inference(quant_inst,[status(thm)],[])).
% 17.31/12.59 tff(36307,plain,
% 17.31/12.59 (v112(constB197) <=> (~((~v113(constB197)) | (~v126(constB197))))),
% 17.31/12.59 inference(unit_resolution,[status(thm)],[36306, 579])).
% 17.31/12.59 tff(36308,plain,
% 17.31/12.59 ((~![VarCurr: $i] : (v113(VarCurr) <=> (v114(VarCurr) | v125(VarCurr)))) | (v113(constB197) <=> (v114(constB197) | v125(constB197)))),
% 17.31/12.59 inference(quant_inst,[status(thm)],[])).
% 17.31/12.59 tff(36309,plain,
% 17.31/12.59 (v113(constB197) <=> (v114(constB197) | v125(constB197))),
% 17.31/12.59 inference(unit_resolution,[status(thm)],[36308, 588])).
% 17.31/12.59 tff(36310,plain,
% 17.31/12.59 ((~![VarCurr: $i] : (v114(VarCurr) <=> (v115(VarCurr) | v124(VarCurr)))) | (v114(constB197) <=> (v115(constB197) | v124(constB197)))),
% 17.31/12.59 inference(quant_inst,[status(thm)],[])).
% 17.31/12.59 tff(36311,plain,
% 17.31/12.59 (v114(constB197) <=> (v115(constB197) | v124(constB197))),
% 17.31/12.59 inference(unit_resolution,[status(thm)],[36310, 597])).
% 17.31/12.59 tff(36312,plain,
% 17.31/12.59 ((~![VarCurr: $i] : (v115(VarCurr) <=> (v116(VarCurr) | v123(VarCurr)))) | (v115(constB197) <=> (v116(constB197) | v123(constB197)))),
% 17.31/12.59 inference(quant_inst,[status(thm)],[])).
% 17.31/12.59 tff(36313,plain,
% 17.31/12.59 (v115(constB197) <=> (v116(constB197) | v123(constB197))),
% 17.31/12.59 inference(unit_resolution,[status(thm)],[36312, 606])).
% 17.31/12.59 tff(36314,plain,
% 17.31/12.59 ((~![VarCurr: $i] : (v116(VarCurr) <=> (v117(VarCurr) | v122(VarCurr)))) | (v116(constB197) <=> (v117(constB197) | v122(constB197)))),
% 17.31/12.59 inference(quant_inst,[status(thm)],[])).
% 17.31/12.59 tff(36315,plain,
% 17.31/12.59 (v116(constB197) <=> (v117(constB197) | v122(constB197))),
% 17.31/12.59 inference(unit_resolution,[status(thm)],[36314, 719])).
% 17.31/12.59 tff(36316,plain,
% 17.31/12.59 ((~![VarCurr: $i] : (v117(VarCurr) <=> (v118(VarCurr) | v121(VarCurr)))) | (v117(constB197) <=> (v118(constB197) | v121(constB197)))),
% 17.31/12.59 inference(quant_inst,[status(thm)],[])).
% 17.31/12.59 tff(36317,plain,
% 17.31/12.59 (v117(constB197) <=> (v118(constB197) | v121(constB197))),
% 17.31/12.59 inference(unit_resolution,[status(thm)],[36316, 834])).
% 17.31/12.59 tff(36318,plain,
% 17.31/12.59 ((~![VarCurr: $i] : (v118(VarCurr) <=> (v119(VarCurr) | v120(VarCurr)))) | (v118(constB197) <=> (v119(constB197) | v120(constB197)))),
% 17.31/12.59 inference(quant_inst,[status(thm)],[])).
% 17.31/12.59 tff(36319,plain,
% 17.31/12.59 (v118(constB197) <=> (v119(constB197) | v120(constB197))),
% 17.31/12.59 inference(unit_resolution,[status(thm)],[36318, 951])).
% 17.31/12.59 tff(36320,plain,
% 17.31/12.59 (((~![VarCurr: $i] : (v120(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)))))) | (v120(constB197) <=> (~(v90(constB197, bitIndex2) | v90(constB197, bitIndex1) | (~v90(constB197, bitIndex0)))))) <=> ((~![VarCurr: $i] : (v120(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)))))) | (v120(constB197) <=> (~(v90(constB197, bitIndex2) | v90(constB197, bitIndex1) | (~v90(constB197, bitIndex0))))))),
% 17.31/12.59 inference(rewrite,[status(thm)],[])).
% 17.31/12.59 tff(36321,plain,
% 17.31/12.59 ((v120(constB197) <=> (~(v90(constB197, bitIndex1) | v90(constB197, bitIndex2) | (~v90(constB197, bitIndex0))))) <=> (v120(constB197) <=> (~(v90(constB197, bitIndex2) | v90(constB197, bitIndex1) | (~v90(constB197, bitIndex0)))))),
% 17.31/12.59 inference(rewrite,[status(thm)],[])).
% 17.31/12.59 tff(36322,plain,
% 17.31/12.59 (((~![VarCurr: $i] : (v120(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)))))) | (v120(constB197) <=> (~(v90(constB197, bitIndex1) | v90(constB197, bitIndex2) | (~v90(constB197, bitIndex0)))))) <=> ((~![VarCurr: $i] : (v120(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)))))) | (v120(constB197) <=> (~(v90(constB197, bitIndex2) | v90(constB197, bitIndex1) | (~v90(constB197, bitIndex0))))))),
% 17.31/12.59 inference(monotonicity,[status(thm)],[36321])).
% 17.31/12.59 tff(36323,plain,
% 17.31/12.59 (((~![VarCurr: $i] : (v120(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)))))) | (v120(constB197) <=> (~(v90(constB197, bitIndex1) | v90(constB197, bitIndex2) | (~v90(constB197, bitIndex0)))))) <=> ((~![VarCurr: $i] : (v120(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)))))) | (v120(constB197) <=> (~(v90(constB197, bitIndex2) | v90(constB197, bitIndex1) | (~v90(constB197, bitIndex0))))))),
% 17.31/12.59 inference(transitivity,[status(thm)],[36322, 36320])).
% 17.31/12.59 tff(36324,plain,
% 17.31/12.59 ((~![VarCurr: $i] : (v120(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)))))) | (v120(constB197) <=> (~(v90(constB197, bitIndex1) | v90(constB197, bitIndex2) | (~v90(constB197, bitIndex0)))))),
% 17.31/12.59 inference(quant_inst,[status(thm)],[])).
% 17.31/12.59 tff(36325,plain,
% 17.31/12.59 ((~![VarCurr: $i] : (v120(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)))))) | (v120(constB197) <=> (~(v90(constB197, bitIndex2) | v90(constB197, bitIndex1) | (~v90(constB197, bitIndex0)))))),
% 17.31/12.59 inference(modus_ponens,[status(thm)],[36324, 36323])).
% 17.31/12.59 tff(36326,plain,
% 17.31/12.59 (v120(constB197) <=> (~(v90(constB197, bitIndex2) | v90(constB197, bitIndex1) | (~v90(constB197, bitIndex0))))),
% 17.31/12.59 inference(unit_resolution,[status(thm)],[36325, 966])).
% 17.31/12.59 tff(36327,plain,
% 17.31/12.59 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB196, constB197)) | (v100(constB197) <=> (~((~v101(constB197)) | (~v110(constB197))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB196, constB197)) | (v100(constB197) <=> (~((~v101(constB197)) | (~v110(constB197))))))),
% 17.31/12.59 inference(rewrite,[status(thm)],[])).
% 17.31/12.59 tff(36328,plain,
% 17.31/12.59 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB196, constB197)) | (v100(constB197) <=> (~((~v101(constB197)) | (~v110(constB197))))))),
% 17.31/12.59 inference(quant_inst,[status(thm)],[])).
% 17.31/12.59 tff(36329,plain,
% 17.31/12.59 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB196, constB197)) | (v100(constB197) <=> (~((~v101(constB197)) | (~v110(constB197)))))),
% 17.31/12.59 inference(modus_ponens,[status(thm)],[36328, 36327])).
% 17.31/12.59 tff(36330,plain,
% 17.31/12.59 (v100(constB197) <=> (~((~v101(constB197)) | (~v110(constB197))))),
% 17.31/12.59 inference(unit_resolution,[status(thm)],[36329, 33338, 430])).
% 17.31/12.59 tff(36331,plain,
% 17.31/12.59 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB196, constB197)) | (v101(constB197) <=> (~((~v1(constB197)) | (~v102(constB197))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB196, constB197)) | (v101(constB197) <=> (~((~v1(constB197)) | (~v102(constB197))))))),
% 17.31/12.59 inference(rewrite,[status(thm)],[])).
% 17.31/12.59 tff(36332,plain,
% 17.31/12.59 (((~nextState(constB196, constB197)) | (v101(constB197) <=> (~((~v102(constB197)) | (~v1(constB197)))))) <=> ((~nextState(constB196, constB197)) | (v101(constB197) <=> (~((~v1(constB197)) | (~v102(constB197))))))),
% 17.31/12.59 inference(rewrite,[status(thm)],[])).
% 17.31/12.59 tff(36333,plain,
% 17.31/12.59 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB196, constB197)) | (v101(constB197) <=> (~((~v102(constB197)) | (~v1(constB197))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB196, constB197)) | (v101(constB197) <=> (~((~v1(constB197)) | (~v102(constB197)))))))),
% 17.31/12.59 inference(monotonicity,[status(thm)],[36332])).
% 17.31/12.59 tff(36334,plain,
% 17.31/12.59 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB196, constB197)) | (v101(constB197) <=> (~((~v102(constB197)) | (~v1(constB197))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB196, constB197)) | (v101(constB197) <=> (~((~v1(constB197)) | (~v102(constB197))))))),
% 17.31/12.59 inference(transitivity,[status(thm)],[36333, 36331])).
% 17.31/12.59 tff(36335,plain,
% 17.31/12.59 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB196, constB197)) | (v101(constB197) <=> (~((~v102(constB197)) | (~v1(constB197))))))),
% 17.31/12.59 inference(quant_inst,[status(thm)],[])).
% 17.31/12.59 tff(36336,plain,
% 17.31/12.59 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB196, constB197)) | (v101(constB197) <=> (~((~v1(constB197)) | (~v102(constB197)))))),
% 17.31/12.59 inference(modus_ponens,[status(thm)],[36335, 36334])).
% 17.31/12.59 tff(36337,plain,
% 17.31/12.59 (v101(constB197) <=> (~((~v1(constB197)) | (~v102(constB197))))),
% 17.40/12.60 inference(unit_resolution,[status(thm)],[36336, 33338, 450])).
% 17.40/12.60 tff(36338,plain,
% 17.40/12.60 (((~v1(constB197)) | (~v102(constB197))) | v1(constB197)),
% 17.40/12.60 inference(tautology,[status(thm)],[])).
% 17.40/12.60 tff(36339,plain,
% 17.40/12.60 ((~v1(constB197)) | (~v102(constB197))),
% 17.40/12.60 inference(unit_resolution,[status(thm)],[36338, 36286])).
% 17.40/12.60 tff(36340,plain,
% 17.40/12.60 ((~(v101(constB197) <=> (~((~v1(constB197)) | (~v102(constB197)))))) | (~v101(constB197)) | (~((~v1(constB197)) | (~v102(constB197))))),
% 17.40/12.60 inference(tautology,[status(thm)],[])).
% 17.40/12.60 tff(36341,plain,
% 17.40/12.60 ((~(v101(constB197) <=> (~((~v1(constB197)) | (~v102(constB197)))))) | (~v101(constB197))),
% 17.40/12.60 inference(unit_resolution,[status(thm)],[36340, 36339])).
% 17.40/12.60 tff(36342,plain,
% 17.40/12.60 (~v101(constB197)),
% 17.40/12.60 inference(unit_resolution,[status(thm)],[36341, 36337])).
% 17.40/12.60 tff(36343,plain,
% 17.40/12.60 (((~v101(constB197)) | (~v110(constB197))) | v101(constB197)),
% 17.40/12.60 inference(tautology,[status(thm)],[])).
% 17.40/12.60 tff(36344,plain,
% 17.40/12.60 ((~v101(constB197)) | (~v110(constB197))),
% 17.40/12.60 inference(unit_resolution,[status(thm)],[36343, 36342])).
% 17.40/12.60 tff(36345,plain,
% 17.40/12.60 ((~(v100(constB197) <=> (~((~v101(constB197)) | (~v110(constB197)))))) | (~v100(constB197)) | (~((~v101(constB197)) | (~v110(constB197))))),
% 17.40/12.60 inference(tautology,[status(thm)],[])).
% 17.40/12.60 tff(36346,plain,
% 17.40/12.60 (~v100(constB197)),
% 17.40/12.60 inference(unit_resolution,[status(thm)],[36345, 36344, 36330])).
% 17.40/12.60 tff(36347,plain,
% 17.40/12.60 (((~![VarCurr: $i, VarNext: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v90(VarCurr, B))))) | (v100(constB197) | (~nextState(constB196, constB197)) | ![B: $i] : ((~less_3(B)) | (v90(constB197, B) <=> v90(constB196, B))))) <=> ((~![VarCurr: $i, VarNext: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v90(VarCurr, B))))) | v100(constB197) | (~nextState(constB196, constB197)) | ![B: $i] : ((~less_3(B)) | (v90(constB197, B) <=> v90(constB196, B))))),
% 17.40/12.60 inference(rewrite,[status(thm)],[])).
% 17.40/12.60 tff(36348,plain,
% 17.40/12.60 ((~![VarCurr: $i, VarNext: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v90(VarCurr, B))))) | (v100(constB197) | (~nextState(constB196, constB197)) | ![B: $i] : ((~less_3(B)) | (v90(constB197, B) <=> v90(constB196, B))))),
% 17.40/12.60 inference(quant_inst,[status(thm)],[])).
% 17.40/12.60 tff(36349,plain,
% 17.40/12.60 ((~![VarCurr: $i, VarNext: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v90(VarCurr, B))))) | v100(constB197) | (~nextState(constB196, constB197)) | ![B: $i] : ((~less_3(B)) | (v90(constB197, B) <=> v90(constB196, B)))),
% 17.40/12.60 inference(modus_ponens,[status(thm)],[36348, 36347])).
% 17.40/12.60 tff(36350,plain,
% 17.40/12.60 (v100(constB197) | ![B: $i] : ((~less_3(B)) | (v90(constB197, B) <=> v90(constB196, B)))),
% 17.40/12.60 inference(unit_resolution,[status(thm)],[36349, 33338, 479])).
% 17.40/12.60 tff(36351,plain,
% 17.40/12.60 (![B: $i] : ((~less_3(B)) | (v90(constB197, B) <=> v90(constB196, B)))),
% 17.40/12.60 inference(unit_resolution,[status(thm)],[36350, 36346])).
% 17.40/12.60 tff(36352,plain,
% 17.40/12.60 (((~![B: $i] : ((~less_3(B)) | (v90(constB197, B) <=> v90(constB196, B)))) | ((~less_3(bitIndex2)) | (v90(constB197, bitIndex2) <=> v90(constB196, bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v90(constB197, B) <=> v90(constB196, B)))) | (~less_3(bitIndex2)) | (v90(constB197, bitIndex2) <=> v90(constB196, bitIndex2)))),
% 17.40/12.60 inference(rewrite,[status(thm)],[])).
% 17.40/12.60 tff(36353,plain,
% 17.40/12.60 ((~![B: $i] : ((~less_3(B)) | (v90(constB197, B) <=> v90(constB196, B)))) | ((~less_3(bitIndex2)) | (v90(constB197, bitIndex2) <=> v90(constB196, bitIndex2)))),
% 17.40/12.60 inference(quant_inst,[status(thm)],[])).
% 17.40/12.60 tff(36354,plain,
% 17.40/12.60 ((~![B: $i] : ((~less_3(B)) | (v90(constB197, B) <=> v90(constB196, B)))) | (~less_3(bitIndex2)) | (v90(constB197, bitIndex2) <=> v90(constB196, bitIndex2))),
% 17.40/12.60 inference(modus_ponens,[status(thm)],[36353, 36352])).
% 17.40/12.60 tff(36355,plain,
% 17.40/12.60 (v90(constB197, bitIndex2) <=> v90(constB196, bitIndex2)),
% 17.40/12.60 inference(unit_resolution,[status(thm)],[36354, 413, 36351])).
% 17.40/12.60 tff(36356,plain,
% 17.40/12.60 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB195, constB196)) | (v100(constB196) <=> (~((~v101(constB196)) | (~v110(constB196))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB195, constB196)) | (v100(constB196) <=> (~((~v101(constB196)) | (~v110(constB196))))))),
% 17.40/12.60 inference(rewrite,[status(thm)],[])).
% 17.40/12.60 tff(36357,plain,
% 17.40/12.60 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB195, constB196)) | (v100(constB196) <=> (~((~v101(constB196)) | (~v110(constB196))))))),
% 17.40/12.60 inference(quant_inst,[status(thm)],[])).
% 17.40/12.60 tff(36358,plain,
% 17.40/12.60 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB195, constB196)) | (v100(constB196) <=> (~((~v101(constB196)) | (~v110(constB196)))))),
% 17.40/12.60 inference(modus_ponens,[status(thm)],[36357, 36356])).
% 17.40/12.60 tff(36359,plain,
% 17.40/12.60 (v100(constB196) <=> (~((~v101(constB196)) | (~v110(constB196))))),
% 17.40/12.60 inference(unit_resolution,[status(thm)],[36358, 33384, 430])).
% 17.40/12.60 tff(36360,plain,
% 17.40/12.60 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB195, constB196)) | (v101(constB196) <=> (~((~v1(constB196)) | (~v102(constB196))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB195, constB196)) | (v101(constB196) <=> (~((~v1(constB196)) | (~v102(constB196))))))),
% 17.40/12.60 inference(rewrite,[status(thm)],[])).
% 17.40/12.60 tff(36361,plain,
% 17.40/12.60 (((~nextState(constB195, constB196)) | (v101(constB196) <=> (~((~v102(constB196)) | (~v1(constB196)))))) <=> ((~nextState(constB195, constB196)) | (v101(constB196) <=> (~((~v1(constB196)) | (~v102(constB196))))))),
% 17.40/12.60 inference(rewrite,[status(thm)],[])).
% 17.40/12.60 tff(36362,plain,
% 17.40/12.60 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB195, constB196)) | (v101(constB196) <=> (~((~v102(constB196)) | (~v1(constB196))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB195, constB196)) | (v101(constB196) <=> (~((~v1(constB196)) | (~v102(constB196)))))))),
% 17.40/12.60 inference(monotonicity,[status(thm)],[36361])).
% 17.40/12.60 tff(36363,plain,
% 17.40/12.60 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB195, constB196)) | (v101(constB196) <=> (~((~v102(constB196)) | (~v1(constB196))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB195, constB196)) | (v101(constB196) <=> (~((~v1(constB196)) | (~v102(constB196))))))),
% 17.40/12.60 inference(transitivity,[status(thm)],[36362, 36360])).
% 17.40/12.60 tff(36364,plain,
% 17.40/12.60 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB195, constB196)) | (v101(constB196) <=> (~((~v102(constB196)) | (~v1(constB196))))))),
% 17.40/12.60 inference(quant_inst,[status(thm)],[])).
% 17.40/12.60 tff(36365,plain,
% 17.40/12.60 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB195, constB196)) | (v101(constB196) <=> (~((~v1(constB196)) | (~v102(constB196)))))),
% 17.40/12.60 inference(modus_ponens,[status(thm)],[36364, 36363])).
% 17.40/12.60 tff(36366,plain,
% 17.40/12.60 (v101(constB196) <=> (~((~v1(constB196)) | (~v102(constB196))))),
% 17.40/12.60 inference(unit_resolution,[status(thm)],[36365, 33384, 450])).
% 17.40/12.60 tff(36367,plain,
% 17.40/12.60 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | ((~nextState(constB195, constB196)) | ((~v102(constB196)) <=> v104(constB196)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | (~nextState(constB195, constB196)) | ((~v102(constB196)) <=> v104(constB196)))),
% 17.40/12.60 inference(rewrite,[status(thm)],[])).
% 17.40/12.60 tff(36368,plain,
% 17.40/12.60 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | ((~nextState(constB195, constB196)) | ((~v102(constB196)) <=> v104(constB196)))),
% 17.40/12.60 inference(quant_inst,[status(thm)],[])).
% 17.40/12.60 tff(36369,plain,
% 17.40/12.60 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | (~nextState(constB195, constB196)) | ((~v102(constB196)) <=> v104(constB196))),
% 17.40/12.60 inference(modus_ponens,[status(thm)],[36368, 36367])).
% 17.40/12.60 tff(36370,plain,
% 17.40/12.60 ((~v102(constB196)) <=> v104(constB196)),
% 17.40/12.60 inference(unit_resolution,[status(thm)],[36369, 33384, 512])).
% 17.40/12.60 tff(36371,plain,
% 17.40/12.60 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB195, constB196)) | (v104(constB196) <=> v1(constB195)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | (~nextState(constB195, constB196)) | (v104(constB196) <=> v1(constB195)))),
% 17.40/12.60 inference(rewrite,[status(thm)],[])).
% 17.40/12.60 tff(36372,plain,
% 17.40/12.60 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB195, constB196)) | (v104(constB196) <=> v1(constB195)))),
% 17.40/12.60 inference(quant_inst,[status(thm)],[])).
% 17.40/12.60 tff(36373,plain,
% 17.40/12.60 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | (~nextState(constB195, constB196)) | (v104(constB196) <=> v1(constB195))),
% 17.40/12.60 inference(modus_ponens,[status(thm)],[36372, 36371])).
% 17.40/12.60 tff(36374,plain,
% 17.40/12.60 (v104(constB196) <=> v1(constB195)),
% 17.40/12.60 inference(unit_resolution,[status(thm)],[36373, 33384, 526])).
% 17.40/12.60 tff(36375,plain,
% 17.40/12.60 ((~(v104(constB196) <=> v1(constB195))) | (~v104(constB196)) | v1(constB195)),
% 17.40/12.60 inference(tautology,[status(thm)],[])).
% 17.40/12.60 tff(36376,plain,
% 17.40/12.60 ((~(v104(constB196) <=> v1(constB195))) | (~v104(constB196))),
% 17.40/12.60 inference(unit_resolution,[status(thm)],[36375, 23843])).
% 17.40/12.60 tff(36377,plain,
% 17.40/12.60 (~v104(constB196)),
% 17.40/12.60 inference(unit_resolution,[status(thm)],[36376, 36374])).
% 17.40/12.60 tff(36378,plain,
% 17.40/12.60 ((~((~v102(constB196)) <=> v104(constB196))) | v102(constB196) | v104(constB196)),
% 17.40/12.60 inference(tautology,[status(thm)],[])).
% 17.40/12.60 tff(36379,plain,
% 17.40/12.60 (v102(constB196)),
% 17.40/12.60 inference(unit_resolution,[status(thm)],[36378, 36377, 36370])).
% 17.40/12.60 tff(36380,plain,
% 17.40/12.60 ((~((~v1(constB196)) | (~v102(constB196)))) | (~v1(constB196)) | (~v102(constB196))),
% 17.40/12.60 inference(tautology,[status(thm)],[])).
% 17.40/12.60 tff(36381,plain,
% 17.40/12.60 ((~((~v1(constB196)) | (~v102(constB196)))) | (~v102(constB196))),
% 17.40/12.60 inference(unit_resolution,[status(thm)],[36380, 33355])).
% 17.40/12.60 tff(36382,plain,
% 17.40/12.60 (~((~v1(constB196)) | (~v102(constB196)))),
% 17.40/12.60 inference(unit_resolution,[status(thm)],[36381, 36379])).
% 17.40/12.60 tff(36383,plain,
% 17.40/12.60 ((~(v101(constB196) <=> (~((~v1(constB196)) | (~v102(constB196)))))) | v101(constB196) | ((~v1(constB196)) | (~v102(constB196)))),
% 17.40/12.60 inference(tautology,[status(thm)],[])).
% 17.40/12.60 tff(36384,plain,
% 17.40/12.60 (v101(constB196)),
% 17.40/12.60 inference(unit_resolution,[status(thm)],[36383, 36382, 36366])).
% 17.40/12.60 tff(36385,plain,
% 17.40/12.60 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | ((~nextState(constB195, constB196)) | (v110(constB196) <=> v108(constB195)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | (~nextState(constB195, constB196)) | (v110(constB196) <=> v108(constB195)))),
% 17.40/12.60 inference(rewrite,[status(thm)],[])).
% 17.40/12.60 tff(36386,plain,
% 17.40/12.60 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | ((~nextState(constB195, constB196)) | (v110(constB196) <=> v108(constB195)))),
% 17.40/12.60 inference(quant_inst,[status(thm)],[])).
% 17.40/12.61 tff(36387,plain,
% 17.40/12.61 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | (~nextState(constB195, constB196)) | (v110(constB196) <=> v108(constB195))),
% 17.40/12.61 inference(modus_ponens,[status(thm)],[36386, 36385])).
% 17.40/12.61 tff(36388,plain,
% 17.40/12.61 (v110(constB196) <=> v108(constB195)),
% 17.40/12.61 inference(unit_resolution,[status(thm)],[36387, 33384, 556])).
% 17.40/12.61 tff(36389,plain,
% 17.40/12.61 ((~![VarCurr: $i] : (v108(VarCurr) <=> (v111(VarCurr) | v112(VarCurr)))) | (v108(constB195) <=> (v111(constB195) | v112(constB195)))),
% 17.40/12.61 inference(quant_inst,[status(thm)],[])).
% 17.40/12.61 tff(36390,plain,
% 17.40/12.61 (v108(constB195) <=> (v111(constB195) | v112(constB195))),
% 17.40/12.61 inference(unit_resolution,[status(thm)],[36389, 567])).
% 17.40/12.61 tff(36391,plain,
% 17.40/12.61 ((~![VarCurr: $i] : (v112(VarCurr) <=> (~((~v113(VarCurr)) | (~v126(VarCurr)))))) | (v112(constB195) <=> (~((~v113(constB195)) | (~v126(constB195)))))),
% 17.40/12.61 inference(quant_inst,[status(thm)],[])).
% 17.40/12.61 tff(36392,plain,
% 17.40/12.61 (v112(constB195) <=> (~((~v113(constB195)) | (~v126(constB195))))),
% 17.40/12.61 inference(unit_resolution,[status(thm)],[36391, 579])).
% 17.40/12.61 tff(36393,plain,
% 17.40/12.61 ((~![VarCurr: $i] : (v113(VarCurr) <=> (v114(VarCurr) | v125(VarCurr)))) | (v113(constB195) <=> (v114(constB195) | v125(constB195)))),
% 17.40/12.61 inference(quant_inst,[status(thm)],[])).
% 17.40/12.61 tff(36394,plain,
% 17.40/12.61 (v113(constB195) <=> (v114(constB195) | v125(constB195))),
% 17.40/12.61 inference(unit_resolution,[status(thm)],[36393, 588])).
% 17.40/12.61 tff(36395,plain,
% 17.40/12.61 (((~![VarCurr: $i] : (v125(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2)))))) | (v125(constB195) <=> (~((~v90(constB195, bitIndex2)) | (~v90(constB195, bitIndex1)) | v90(constB195, bitIndex0))))) <=> ((~![VarCurr: $i] : (v125(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2)))))) | (v125(constB195) <=> (~((~v90(constB195, bitIndex2)) | (~v90(constB195, bitIndex1)) | v90(constB195, bitIndex0)))))),
% 17.40/12.61 inference(rewrite,[status(thm)],[])).
% 17.40/12.61 tff(36396,plain,
% 17.40/12.61 ((v125(constB195) <=> (~(v90(constB195, bitIndex0) | (~v90(constB195, bitIndex1)) | (~v90(constB195, bitIndex2))))) <=> (v125(constB195) <=> (~((~v90(constB195, bitIndex2)) | (~v90(constB195, bitIndex1)) | v90(constB195, bitIndex0))))),
% 17.40/12.61 inference(rewrite,[status(thm)],[])).
% 17.40/12.61 tff(36397,plain,
% 17.40/12.61 (((~![VarCurr: $i] : (v125(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2)))))) | (v125(constB195) <=> (~(v90(constB195, bitIndex0) | (~v90(constB195, bitIndex1)) | (~v90(constB195, bitIndex2)))))) <=> ((~![VarCurr: $i] : (v125(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2)))))) | (v125(constB195) <=> (~((~v90(constB195, bitIndex2)) | (~v90(constB195, bitIndex1)) | v90(constB195, bitIndex0)))))),
% 17.40/12.61 inference(monotonicity,[status(thm)],[36396])).
% 17.40/12.61 tff(36398,plain,
% 17.40/12.61 (((~![VarCurr: $i] : (v125(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2)))))) | (v125(constB195) <=> (~(v90(constB195, bitIndex0) | (~v90(constB195, bitIndex1)) | (~v90(constB195, bitIndex2)))))) <=> ((~![VarCurr: $i] : (v125(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2)))))) | (v125(constB195) <=> (~((~v90(constB195, bitIndex2)) | (~v90(constB195, bitIndex1)) | v90(constB195, bitIndex0)))))),
% 17.40/12.61 inference(transitivity,[status(thm)],[36397, 36395])).
% 17.40/12.61 tff(36399,plain,
% 17.40/12.61 ((~![VarCurr: $i] : (v125(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2)))))) | (v125(constB195) <=> (~(v90(constB195, bitIndex0) | (~v90(constB195, bitIndex1)) | (~v90(constB195, bitIndex2)))))),
% 17.40/12.61 inference(quant_inst,[status(thm)],[])).
% 17.40/12.61 tff(36400,plain,
% 17.40/12.61 ((~![VarCurr: $i] : (v125(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2)))))) | (v125(constB195) <=> (~((~v90(constB195, bitIndex2)) | (~v90(constB195, bitIndex1)) | v90(constB195, bitIndex0))))),
% 17.40/12.61 inference(modus_ponens,[status(thm)],[36399, 36398])).
% 17.40/12.61 tff(36401,plain,
% 17.40/12.61 (v125(constB195) <=> (~((~v90(constB195, bitIndex2)) | (~v90(constB195, bitIndex1)) | v90(constB195, bitIndex0)))),
% 17.40/12.61 inference(unit_resolution,[status(thm)],[36400, 1066])).
% 17.40/12.61 tff(36402,plain,
% 17.40/12.61 ((~((~v90(constB195, bitIndex2)) | (~v90(constB195, bitIndex1)) | v90(constB195, bitIndex0))) | (~v90(constB195, bitIndex2)) | (~v90(constB195, bitIndex1)) | v90(constB195, bitIndex0)),
% 17.40/12.61 inference(tautology,[status(thm)],[])).
% 17.40/12.61 tff(36403,plain,
% 17.40/12.61 (~((~v90(constB195, bitIndex2)) | (~v90(constB195, bitIndex1)) | v90(constB195, bitIndex0))),
% 17.40/12.61 inference(unit_resolution,[status(thm)],[36402, 27165, 27128, 27091])).
% 17.40/12.61 tff(36404,plain,
% 17.40/12.61 ((~(v125(constB195) <=> (~((~v90(constB195, bitIndex2)) | (~v90(constB195, bitIndex1)) | v90(constB195, bitIndex0))))) | v125(constB195) | ((~v90(constB195, bitIndex2)) | (~v90(constB195, bitIndex1)) | v90(constB195, bitIndex0))),
% 17.40/12.61 inference(tautology,[status(thm)],[])).
% 17.40/12.61 tff(36405,plain,
% 17.40/12.61 (v125(constB195)),
% 17.40/12.61 inference(unit_resolution,[status(thm)],[36404, 36403, 36401])).
% 17.40/12.61 tff(36406,plain,
% 17.40/12.61 ((v114(constB195) | v125(constB195)) | (~v125(constB195))),
% 17.40/12.61 inference(tautology,[status(thm)],[])).
% 17.40/12.61 tff(36407,plain,
% 17.40/12.61 (v114(constB195) | v125(constB195)),
% 17.40/12.61 inference(unit_resolution,[status(thm)],[36406, 36405])).
% 17.40/12.61 tff(36408,plain,
% 17.40/12.61 ((~(v113(constB195) <=> (v114(constB195) | v125(constB195)))) | v113(constB195) | (~(v114(constB195) | v125(constB195)))),
% 17.40/12.61 inference(tautology,[status(thm)],[])).
% 17.40/12.61 tff(36409,plain,
% 17.40/12.61 (v113(constB195)),
% 17.40/12.61 inference(unit_resolution,[status(thm)],[36408, 36407, 36394])).
% 17.40/12.61 tff(36410,plain,
% 17.40/12.61 ((~![VarCurr: $i] : ((~v126(VarCurr)) <=> v111(VarCurr))) | ((~v126(constB195)) <=> v111(constB195))),
% 17.40/12.61 inference(quant_inst,[status(thm)],[])).
% 17.40/12.61 tff(36411,plain,
% 17.40/12.61 ((~v126(constB195)) <=> v111(constB195)),
% 17.40/12.61 inference(unit_resolution,[status(thm)],[36410, 5074])).
% 17.40/12.61 tff(36412,plain,
% 17.40/12.61 ((~![VarCurr: $i] : (v111(VarCurr) <=> v26(VarCurr))) | (v111(constB195) <=> v26(constB195))),
% 17.40/12.61 inference(quant_inst,[status(thm)],[])).
% 17.40/12.61 tff(36413,plain,
% 17.40/12.61 (v111(constB195) <=> v26(constB195)),
% 17.40/12.61 inference(unit_resolution,[status(thm)],[36412, 5086])).
% 17.40/12.61 tff(36414,plain,
% 17.40/12.61 ((~![VarCurr: $i] : (~v26(VarCurr))) | (~v26(constB195))),
% 17.40/12.61 inference(quant_inst,[status(thm)],[])).
% 17.40/12.61 tff(36415,plain,
% 17.40/12.61 (~v26(constB195)),
% 17.40/12.61 inference(unit_resolution,[status(thm)],[36414, 5098])).
% 17.40/12.61 tff(36416,plain,
% 17.40/12.61 ((~(v111(constB195) <=> v26(constB195))) | (~v111(constB195)) | v26(constB195)),
% 17.40/12.61 inference(tautology,[status(thm)],[])).
% 17.40/12.61 tff(36417,plain,
% 17.40/12.61 ((~(v111(constB195) <=> v26(constB195))) | (~v111(constB195))),
% 17.40/12.61 inference(unit_resolution,[status(thm)],[36416, 36415])).
% 17.40/12.61 tff(36418,plain,
% 17.40/12.61 (~v111(constB195)),
% 17.40/12.61 inference(unit_resolution,[status(thm)],[36417, 36413])).
% 17.40/12.61 tff(36419,plain,
% 17.40/12.61 ((~((~v126(constB195)) <=> v111(constB195))) | v126(constB195) | v111(constB195)),
% 17.40/12.61 inference(tautology,[status(thm)],[])).
% 17.40/12.61 tff(36420,plain,
% 17.40/12.61 ((~((~v126(constB195)) <=> v111(constB195))) | v126(constB195)),
% 17.40/12.61 inference(unit_resolution,[status(thm)],[36419, 36418])).
% 17.40/12.61 tff(36421,plain,
% 17.40/12.61 (v126(constB195)),
% 17.40/12.61 inference(unit_resolution,[status(thm)],[36420, 36411])).
% 17.40/12.61 tff(36422,plain,
% 17.40/12.61 ((~((~v113(constB195)) | (~v126(constB195)))) | (~v113(constB195)) | (~v126(constB195))),
% 17.40/12.61 inference(tautology,[status(thm)],[])).
% 17.40/12.61 tff(36423,plain,
% 17.40/12.61 ((~((~v113(constB195)) | (~v126(constB195)))) | (~v113(constB195))),
% 17.40/12.61 inference(unit_resolution,[status(thm)],[36422, 36421])).
% 17.40/12.61 tff(36424,plain,
% 17.40/12.61 (~((~v113(constB195)) | (~v126(constB195)))),
% 17.40/12.61 inference(unit_resolution,[status(thm)],[36423, 36409])).
% 17.40/12.61 tff(36425,plain,
% 17.40/12.61 ((~(v112(constB195) <=> (~((~v113(constB195)) | (~v126(constB195)))))) | v112(constB195) | ((~v113(constB195)) | (~v126(constB195)))),
% 17.40/12.61 inference(tautology,[status(thm)],[])).
% 17.40/12.61 tff(36426,plain,
% 17.40/12.61 (v112(constB195)),
% 17.40/12.61 inference(unit_resolution,[status(thm)],[36425, 36424, 36392])).
% 17.40/12.61 tff(36427,plain,
% 17.40/12.61 ((v111(constB195) | v112(constB195)) | (~v112(constB195))),
% 17.40/12.61 inference(tautology,[status(thm)],[])).
% 17.40/12.61 tff(36428,plain,
% 17.40/12.61 (v111(constB195) | v112(constB195)),
% 17.40/12.61 inference(unit_resolution,[status(thm)],[36427, 36426])).
% 17.40/12.61 tff(36429,plain,
% 17.40/12.61 ((~(v108(constB195) <=> (v111(constB195) | v112(constB195)))) | v108(constB195) | (~(v111(constB195) | v112(constB195)))),
% 17.40/12.61 inference(tautology,[status(thm)],[])).
% 17.40/12.61 tff(36430,plain,
% 17.40/12.61 (v108(constB195)),
% 17.40/12.61 inference(unit_resolution,[status(thm)],[36429, 36428, 36390])).
% 17.40/12.61 tff(36431,plain,
% 17.40/12.61 ((~(v110(constB196) <=> v108(constB195))) | v110(constB196) | (~v108(constB195))),
% 17.40/12.61 inference(tautology,[status(thm)],[])).
% 17.40/12.61 tff(36432,plain,
% 17.40/12.61 (v110(constB196)),
% 17.40/12.61 inference(unit_resolution,[status(thm)],[36431, 36430, 36388])).
% 17.40/12.61 tff(36433,plain,
% 17.40/12.61 ((~((~v101(constB196)) | (~v110(constB196)))) | (~v101(constB196)) | (~v110(constB196))),
% 17.40/12.61 inference(tautology,[status(thm)],[])).
% 17.40/12.61 tff(36434,plain,
% 17.40/12.61 (~((~v101(constB196)) | (~v110(constB196)))),
% 17.40/12.61 inference(unit_resolution,[status(thm)],[36433, 36432, 36384])).
% 17.40/12.61 tff(36435,plain,
% 17.40/12.61 ((~(v100(constB196) <=> (~((~v101(constB196)) | (~v110(constB196)))))) | v100(constB196) | ((~v101(constB196)) | (~v110(constB196)))),
% 17.40/12.61 inference(tautology,[status(thm)],[])).
% 17.40/12.61 tff(36436,plain,
% 17.40/12.61 (v100(constB196)),
% 17.40/12.61 inference(unit_resolution,[status(thm)],[36435, 36434, 36359])).
% 17.40/12.61 tff(36437,plain,
% 17.40/12.61 (((~![VarNext: $i] : ((~v100(VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v129(VarNext, B))))) | ((~v100(constB196)) | ![B: $i] : ((~less_3(B)) | (v90(constB196, B) <=> v129(constB196, B))))) <=> ((~![VarNext: $i] : ((~v100(VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v129(VarNext, B))))) | (~v100(constB196)) | ![B: $i] : ((~less_3(B)) | (v90(constB196, B) <=> v129(constB196, B))))),
% 17.40/12.61 inference(rewrite,[status(thm)],[])).
% 17.40/12.61 tff(36438,plain,
% 17.40/12.61 ((~![VarNext: $i] : ((~v100(VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v129(VarNext, B))))) | ((~v100(constB196)) | ![B: $i] : ((~less_3(B)) | (v90(constB196, B) <=> v129(constB196, B))))),
% 17.40/12.61 inference(quant_inst,[status(thm)],[])).
% 17.40/12.61 tff(36439,plain,
% 17.40/12.61 ((~![VarNext: $i] : ((~v100(VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v129(VarNext, B))))) | (~v100(constB196)) | ![B: $i] : ((~less_3(B)) | (v90(constB196, B) <=> v129(constB196, B)))),
% 17.40/12.61 inference(modus_ponens,[status(thm)],[36438, 36437])).
% 17.40/12.61 tff(36440,plain,
% 17.40/12.61 ((~v100(constB196)) | ![B: $i] : ((~less_3(B)) | (v90(constB196, B) <=> v129(constB196, B)))),
% 17.40/12.61 inference(unit_resolution,[status(thm)],[36439, 5134])).
% 17.40/12.61 tff(36441,plain,
% 17.40/12.61 (![B: $i] : ((~less_3(B)) | (v90(constB196, B) <=> v129(constB196, B)))),
% 17.40/12.61 inference(unit_resolution,[status(thm)],[36440, 36436])).
% 17.40/12.61 tff(36442,plain,
% 17.40/12.61 (((~![B: $i] : ((~less_3(B)) | (v90(constB196, B) <=> v129(constB196, B)))) | ((~less_3(bitIndex2)) | (v90(constB196, bitIndex2) <=> v129(constB196, bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v90(constB196, B) <=> v129(constB196, B)))) | (~less_3(bitIndex2)) | (v90(constB196, bitIndex2) <=> v129(constB196, bitIndex2)))),
% 17.40/12.61 inference(rewrite,[status(thm)],[])).
% 17.40/12.61 tff(36443,plain,
% 17.40/12.61 ((~![B: $i] : ((~less_3(B)) | (v90(constB196, B) <=> v129(constB196, B)))) | ((~less_3(bitIndex2)) | (v90(constB196, bitIndex2) <=> v129(constB196, bitIndex2)))),
% 17.40/12.61 inference(quant_inst,[status(thm)],[])).
% 17.40/12.61 tff(36444,plain,
% 17.40/12.61 ((~![B: $i] : ((~less_3(B)) | (v90(constB196, B) <=> v129(constB196, B)))) | (~less_3(bitIndex2)) | (v90(constB196, bitIndex2) <=> v129(constB196, bitIndex2))),
% 17.40/12.61 inference(modus_ponens,[status(thm)],[36443, 36442])).
% 17.40/12.61 tff(36445,plain,
% 17.40/12.61 (v90(constB196, bitIndex2) <=> v129(constB196, bitIndex2)),
% 17.40/12.61 inference(unit_resolution,[status(thm)],[36444, 413, 36441])).
% 17.40/12.61 tff(36446,plain,
% 17.40/12.61 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v129(VarNext, B) <=> v127(VarCurr, B))))) | ((~nextState(constB195, constB196)) | ![B: $i] : ((~less_3(B)) | (v129(constB196, B) <=> v127(constB195, B))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v129(VarNext, B) <=> v127(VarCurr, B))))) | (~nextState(constB195, constB196)) | ![B: $i] : ((~less_3(B)) | (v129(constB196, B) <=> v127(constB195, B))))),
% 17.40/12.61 inference(rewrite,[status(thm)],[])).
% 17.40/12.61 tff(36447,plain,
% 17.40/12.61 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v129(VarNext, B) <=> v127(VarCurr, B))))) | ((~nextState(constB195, constB196)) | ![B: $i] : ((~less_3(B)) | (v129(constB196, B) <=> v127(constB195, B))))),
% 17.40/12.61 inference(quant_inst,[status(thm)],[])).
% 17.40/12.61 tff(36448,plain,
% 17.40/12.61 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v129(VarNext, B) <=> v127(VarCurr, B))))) | (~nextState(constB195, constB196)) | ![B: $i] : ((~less_3(B)) | (v129(constB196, B) <=> v127(constB195, B)))),
% 17.40/12.61 inference(modus_ponens,[status(thm)],[36447, 36446])).
% 17.40/12.61 tff(36449,plain,
% 17.40/12.61 (![B: $i] : ((~less_3(B)) | (v129(constB196, B) <=> v127(constB195, B)))),
% 17.40/12.61 inference(unit_resolution,[status(thm)],[36448, 33384, 5156])).
% 17.40/12.61 tff(36450,plain,
% 17.40/12.61 (((~![B: $i] : ((~less_3(B)) | (v129(constB196, B) <=> v127(constB195, B)))) | ((~less_3(bitIndex2)) | (v129(constB196, bitIndex2) <=> v127(constB195, bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v129(constB196, B) <=> v127(constB195, B)))) | (~less_3(bitIndex2)) | (v129(constB196, bitIndex2) <=> v127(constB195, bitIndex2)))),
% 17.40/12.61 inference(rewrite,[status(thm)],[])).
% 17.40/12.61 tff(36451,plain,
% 17.40/12.61 ((~![B: $i] : ((~less_3(B)) | (v129(constB196, B) <=> v127(constB195, B)))) | ((~less_3(bitIndex2)) | (v129(constB196, bitIndex2) <=> v127(constB195, bitIndex2)))),
% 17.40/12.61 inference(quant_inst,[status(thm)],[])).
% 17.40/12.61 tff(36452,plain,
% 17.40/12.61 ((~![B: $i] : ((~less_3(B)) | (v129(constB196, B) <=> v127(constB195, B)))) | (~less_3(bitIndex2)) | (v129(constB196, bitIndex2) <=> v127(constB195, bitIndex2))),
% 17.40/12.61 inference(modus_ponens,[status(thm)],[36451, 36450])).
% 17.40/12.61 tff(36453,plain,
% 17.40/12.61 (v129(constB196, bitIndex2) <=> v127(constB195, bitIndex2)),
% 17.40/12.61 inference(unit_resolution,[status(thm)],[36452, 413, 36449])).
% 17.40/12.61 tff(36454,plain,
% 17.40/12.61 (((~![VarCurr: $i] : (v111(VarCurr) | ![B: $i] : ((~less_3(B)) | (v127(VarCurr, B) <=> v130(VarCurr, B))))) | (v111(constB195) | ![B: $i] : ((~less_3(B)) | (v127(constB195, B) <=> v130(constB195, B))))) <=> ((~![VarCurr: $i] : (v111(VarCurr) | ![B: $i] : ((~less_3(B)) | (v127(VarCurr, B) <=> v130(VarCurr, B))))) | v111(constB195) | ![B: $i] : ((~less_3(B)) | (v127(constB195, B) <=> v130(constB195, B))))),
% 17.40/12.61 inference(rewrite,[status(thm)],[])).
% 17.40/12.61 tff(36455,plain,
% 17.40/12.61 ((~![VarCurr: $i] : (v111(VarCurr) | ![B: $i] : ((~less_3(B)) | (v127(VarCurr, B) <=> v130(VarCurr, B))))) | (v111(constB195) | ![B: $i] : ((~less_3(B)) | (v127(constB195, B) <=> v130(constB195, B))))),
% 17.40/12.61 inference(quant_inst,[status(thm)],[])).
% 17.40/12.61 tff(36456,plain,
% 17.40/12.61 ((~![VarCurr: $i] : (v111(VarCurr) | ![B: $i] : ((~less_3(B)) | (v127(VarCurr, B) <=> v130(VarCurr, B))))) | v111(constB195) | ![B: $i] : ((~less_3(B)) | (v127(constB195, B) <=> v130(constB195, B)))),
% 17.40/12.61 inference(modus_ponens,[status(thm)],[36455, 36454])).
% 17.40/12.61 tff(36457,plain,
% 17.40/12.61 (![B: $i] : ((~less_3(B)) | (v127(constB195, B) <=> v130(constB195, B)))),
% 17.40/12.61 inference(unit_resolution,[status(thm)],[36456, 5177, 36418])).
% 17.40/12.61 tff(36458,plain,
% 17.40/12.61 (((~![B: $i] : ((~less_3(B)) | (v127(constB195, B) <=> v130(constB195, B)))) | ((~less_3(bitIndex2)) | (v127(constB195, bitIndex2) <=> v130(constB195, bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v127(constB195, B) <=> v130(constB195, B)))) | (~less_3(bitIndex2)) | (v127(constB195, bitIndex2) <=> v130(constB195, bitIndex2)))),
% 17.40/12.61 inference(rewrite,[status(thm)],[])).
% 17.40/12.61 tff(36459,plain,
% 17.40/12.61 ((~![B: $i] : ((~less_3(B)) | (v127(constB195, B) <=> v130(constB195, B)))) | ((~less_3(bitIndex2)) | (v127(constB195, bitIndex2) <=> v130(constB195, bitIndex2)))),
% 17.40/12.61 inference(quant_inst,[status(thm)],[])).
% 17.40/12.61 tff(36460,plain,
% 17.40/12.61 ((~![B: $i] : ((~less_3(B)) | (v127(constB195, B) <=> v130(constB195, B)))) | (~less_3(bitIndex2)) | (v127(constB195, bitIndex2) <=> v130(constB195, bitIndex2))),
% 17.40/12.61 inference(modus_ponens,[status(thm)],[36459, 36458])).
% 17.40/12.61 tff(36461,plain,
% 17.40/12.61 (v127(constB195, bitIndex2) <=> v130(constB195, bitIndex2)),
% 17.40/12.61 inference(unit_resolution,[status(thm)],[36460, 413, 36457])).
% 17.40/12.62 tff(36462,plain,
% 17.40/12.62 ((~![VarCurr: $i] : (v119(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))))) | (v119(constB195) <=> (~(v90(constB195, bitIndex0) | v90(constB195, bitIndex1) | v90(constB195, bitIndex2))))),
% 17.40/12.62 inference(quant_inst,[status(thm)],[])).
% 17.40/12.62 tff(36463,plain,
% 17.40/12.62 (v119(constB195) <=> (~(v90(constB195, bitIndex0) | v90(constB195, bitIndex1) | v90(constB195, bitIndex2)))),
% 17.40/12.62 inference(unit_resolution,[status(thm)],[36462, 4971])).
% 17.40/12.62 tff(36464,plain,
% 17.40/12.62 ((v90(constB195, bitIndex0) | v90(constB195, bitIndex1) | v90(constB195, bitIndex2)) | (~v90(constB195, bitIndex2))),
% 17.40/12.62 inference(tautology,[status(thm)],[])).
% 17.40/12.62 tff(36465,plain,
% 17.40/12.62 (v90(constB195, bitIndex0) | v90(constB195, bitIndex1) | v90(constB195, bitIndex2)),
% 17.40/12.62 inference(unit_resolution,[status(thm)],[36464, 27091])).
% 17.40/12.62 tff(36466,plain,
% 17.40/12.62 ((~(v119(constB195) <=> (~(v90(constB195, bitIndex0) | v90(constB195, bitIndex1) | v90(constB195, bitIndex2))))) | (~v119(constB195)) | (~(v90(constB195, bitIndex0) | v90(constB195, bitIndex1) | v90(constB195, bitIndex2)))),
% 17.40/12.62 inference(tautology,[status(thm)],[])).
% 17.40/12.62 tff(36467,plain,
% 17.40/12.62 (~v119(constB195)),
% 17.40/12.62 inference(unit_resolution,[status(thm)],[36466, 36465, 36463])).
% 17.40/12.62 tff(36468,plain,
% 17.40/12.62 (((~![VarCurr: $i] : (v124(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex2)))))) | (v124(constB195) <=> (~((~v90(constB195, bitIndex2)) | v90(constB195, bitIndex1) | (~v90(constB195, bitIndex0)))))) <=> ((~![VarCurr: $i] : (v124(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex2)))))) | (v124(constB195) <=> (~((~v90(constB195, bitIndex2)) | v90(constB195, bitIndex1) | (~v90(constB195, bitIndex0))))))),
% 17.40/12.62 inference(rewrite,[status(thm)],[])).
% 17.40/12.62 tff(36469,plain,
% 17.40/12.62 ((v124(constB195) <=> (~(v90(constB195, bitIndex1) | (~v90(constB195, bitIndex0)) | (~v90(constB195, bitIndex2))))) <=> (v124(constB195) <=> (~((~v90(constB195, bitIndex2)) | v90(constB195, bitIndex1) | (~v90(constB195, bitIndex0)))))),
% 17.40/12.62 inference(rewrite,[status(thm)],[])).
% 17.40/12.62 tff(36470,plain,
% 17.40/12.62 (((~![VarCurr: $i] : (v124(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex2)))))) | (v124(constB195) <=> (~(v90(constB195, bitIndex1) | (~v90(constB195, bitIndex0)) | (~v90(constB195, bitIndex2)))))) <=> ((~![VarCurr: $i] : (v124(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex2)))))) | (v124(constB195) <=> (~((~v90(constB195, bitIndex2)) | v90(constB195, bitIndex1) | (~v90(constB195, bitIndex0))))))),
% 17.40/12.62 inference(monotonicity,[status(thm)],[36469])).
% 17.40/12.62 tff(36471,plain,
% 17.40/12.62 (((~![VarCurr: $i] : (v124(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex2)))))) | (v124(constB195) <=> (~(v90(constB195, bitIndex1) | (~v90(constB195, bitIndex0)) | (~v90(constB195, bitIndex2)))))) <=> ((~![VarCurr: $i] : (v124(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex2)))))) | (v124(constB195) <=> (~((~v90(constB195, bitIndex2)) | v90(constB195, bitIndex1) | (~v90(constB195, bitIndex0))))))),
% 17.40/12.62 inference(transitivity,[status(thm)],[36470, 36468])).
% 17.40/12.62 tff(36472,plain,
% 17.40/12.62 ((~![VarCurr: $i] : (v124(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex2)))))) | (v124(constB195) <=> (~(v90(constB195, bitIndex1) | (~v90(constB195, bitIndex0)) | (~v90(constB195, bitIndex2)))))),
% 17.40/12.62 inference(quant_inst,[status(thm)],[])).
% 17.40/12.62 tff(36473,plain,
% 17.40/12.62 ((~![VarCurr: $i] : (v124(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex2)))))) | (v124(constB195) <=> (~((~v90(constB195, bitIndex2)) | v90(constB195, bitIndex1) | (~v90(constB195, bitIndex0)))))),
% 17.40/12.62 inference(modus_ponens,[status(thm)],[36472, 36471])).
% 17.40/12.62 tff(36474,plain,
% 17.40/12.62 (v124(constB195) <=> (~((~v90(constB195, bitIndex2)) | v90(constB195, bitIndex1) | (~v90(constB195, bitIndex0))))),
% 17.40/12.62 inference(unit_resolution,[status(thm)],[36473, 5539])).
% 17.40/12.62 tff(36475,plain,
% 17.40/12.62 (((~v90(constB195, bitIndex2)) | v90(constB195, bitIndex1) | (~v90(constB195, bitIndex0))) | (~v90(constB195, bitIndex1))),
% 17.40/12.62 inference(tautology,[status(thm)],[])).
% 17.40/12.62 tff(36476,plain,
% 17.40/12.62 ((~v90(constB195, bitIndex2)) | v90(constB195, bitIndex1) | (~v90(constB195, bitIndex0))),
% 17.40/12.62 inference(unit_resolution,[status(thm)],[36475, 27165])).
% 17.40/12.62 tff(36477,plain,
% 17.40/12.62 ((~(v124(constB195) <=> (~((~v90(constB195, bitIndex2)) | v90(constB195, bitIndex1) | (~v90(constB195, bitIndex0)))))) | (~v124(constB195)) | (~((~v90(constB195, bitIndex2)) | v90(constB195, bitIndex1) | (~v90(constB195, bitIndex0))))),
% 17.40/12.62 inference(tautology,[status(thm)],[])).
% 17.40/12.62 tff(36478,plain,
% 17.40/12.62 (~v124(constB195)),
% 17.40/12.62 inference(unit_resolution,[status(thm)],[36477, 36476, 36474])).
% 17.40/12.62 tff(36479,plain,
% 17.40/12.62 (((~![VarCurr: $i] : (v123(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)))))) | (v123(constB195) <=> (~((~v90(constB195, bitIndex2)) | v90(constB195, bitIndex1) | v90(constB195, bitIndex0))))) <=> ((~![VarCurr: $i] : (v123(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)))))) | (v123(constB195) <=> (~((~v90(constB195, bitIndex2)) | v90(constB195, bitIndex1) | v90(constB195, bitIndex0)))))),
% 17.40/12.62 inference(rewrite,[status(thm)],[])).
% 17.40/12.62 tff(36480,plain,
% 17.40/12.62 ((v123(constB195) <=> (~(v90(constB195, bitIndex0) | v90(constB195, bitIndex1) | (~v90(constB195, bitIndex2))))) <=> (v123(constB195) <=> (~((~v90(constB195, bitIndex2)) | v90(constB195, bitIndex1) | v90(constB195, bitIndex0))))),
% 17.40/12.62 inference(rewrite,[status(thm)],[])).
% 17.40/12.62 tff(36481,plain,
% 17.40/12.62 (((~![VarCurr: $i] : (v123(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)))))) | (v123(constB195) <=> (~(v90(constB195, bitIndex0) | v90(constB195, bitIndex1) | (~v90(constB195, bitIndex2)))))) <=> ((~![VarCurr: $i] : (v123(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)))))) | (v123(constB195) <=> (~((~v90(constB195, bitIndex2)) | v90(constB195, bitIndex1) | v90(constB195, bitIndex0)))))),
% 17.40/12.62 inference(monotonicity,[status(thm)],[36480])).
% 17.40/12.62 tff(36482,plain,
% 17.40/12.62 (((~![VarCurr: $i] : (v123(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)))))) | (v123(constB195) <=> (~(v90(constB195, bitIndex0) | v90(constB195, bitIndex1) | (~v90(constB195, bitIndex2)))))) <=> ((~![VarCurr: $i] : (v123(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)))))) | (v123(constB195) <=> (~((~v90(constB195, bitIndex2)) | v90(constB195, bitIndex1) | v90(constB195, bitIndex0)))))),
% 17.40/12.62 inference(transitivity,[status(thm)],[36481, 36479])).
% 17.40/12.62 tff(36483,plain,
% 17.40/12.62 ((~![VarCurr: $i] : (v123(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)))))) | (v123(constB195) <=> (~(v90(constB195, bitIndex0) | v90(constB195, bitIndex1) | (~v90(constB195, bitIndex2)))))),
% 17.40/12.62 inference(quant_inst,[status(thm)],[])).
% 17.40/12.62 tff(36484,plain,
% 17.40/12.62 ((~![VarCurr: $i] : (v123(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)))))) | (v123(constB195) <=> (~((~v90(constB195, bitIndex2)) | v90(constB195, bitIndex1) | v90(constB195, bitIndex0))))),
% 17.40/12.62 inference(modus_ponens,[status(thm)],[36483, 36482])).
% 17.40/12.62 tff(36485,plain,
% 17.40/12.62 (v123(constB195) <=> (~((~v90(constB195, bitIndex2)) | v90(constB195, bitIndex1) | v90(constB195, bitIndex0)))),
% 17.40/12.62 inference(unit_resolution,[status(thm)],[36484, 621])).
% 17.40/12.62 tff(36486,plain,
% 17.40/12.62 (((~v90(constB195, bitIndex2)) | v90(constB195, bitIndex1) | v90(constB195, bitIndex0)) | (~v90(constB195, bitIndex1))),
% 17.40/12.62 inference(tautology,[status(thm)],[])).
% 17.40/12.62 tff(36487,plain,
% 17.40/12.62 ((~v90(constB195, bitIndex2)) | v90(constB195, bitIndex1) | v90(constB195, bitIndex0)),
% 17.40/12.62 inference(unit_resolution,[status(thm)],[36486, 27165])).
% 17.40/12.62 tff(36488,plain,
% 17.40/12.62 ((~(v123(constB195) <=> (~((~v90(constB195, bitIndex2)) | v90(constB195, bitIndex1) | v90(constB195, bitIndex0))))) | (~v123(constB195)) | (~((~v90(constB195, bitIndex2)) | v90(constB195, bitIndex1) | v90(constB195, bitIndex0)))),
% 17.40/12.62 inference(tautology,[status(thm)],[])).
% 17.40/12.62 tff(36489,plain,
% 17.40/12.62 (~v123(constB195)),
% 17.40/12.62 inference(unit_resolution,[status(thm)],[36488, 36487, 36485])).
% 17.40/12.62 tff(36490,plain,
% 17.40/12.62 (((~![VarCurr: $i] : (v122(VarCurr) <=> (~(v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)))))) | (v122(constB195) <=> (~(v90(constB195, bitIndex2) | (~v90(constB195, bitIndex1)) | (~v90(constB195, bitIndex0)))))) <=> ((~![VarCurr: $i] : (v122(VarCurr) <=> (~(v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)))))) | (v122(constB195) <=> (~(v90(constB195, bitIndex2) | (~v90(constB195, bitIndex1)) | (~v90(constB195, bitIndex0))))))),
% 17.40/12.62 inference(rewrite,[status(thm)],[])).
% 17.40/12.62 tff(36491,plain,
% 17.40/12.62 ((v122(constB195) <=> (~(v90(constB195, bitIndex2) | (~v90(constB195, bitIndex0)) | (~v90(constB195, bitIndex1))))) <=> (v122(constB195) <=> (~(v90(constB195, bitIndex2) | (~v90(constB195, bitIndex1)) | (~v90(constB195, bitIndex0)))))),
% 17.40/12.62 inference(rewrite,[status(thm)],[])).
% 17.40/12.62 tff(36492,plain,
% 17.40/12.62 (((~![VarCurr: $i] : (v122(VarCurr) <=> (~(v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)))))) | (v122(constB195) <=> (~(v90(constB195, bitIndex2) | (~v90(constB195, bitIndex0)) | (~v90(constB195, bitIndex1)))))) <=> ((~![VarCurr: $i] : (v122(VarCurr) <=> (~(v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)))))) | (v122(constB195) <=> (~(v90(constB195, bitIndex2) | (~v90(constB195, bitIndex1)) | (~v90(constB195, bitIndex0))))))),
% 17.40/12.62 inference(monotonicity,[status(thm)],[36491])).
% 17.40/12.62 tff(36493,plain,
% 17.40/12.62 (((~![VarCurr: $i] : (v122(VarCurr) <=> (~(v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)))))) | (v122(constB195) <=> (~(v90(constB195, bitIndex2) | (~v90(constB195, bitIndex0)) | (~v90(constB195, bitIndex1)))))) <=> ((~![VarCurr: $i] : (v122(VarCurr) <=> (~(v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)))))) | (v122(constB195) <=> (~(v90(constB195, bitIndex2) | (~v90(constB195, bitIndex1)) | (~v90(constB195, bitIndex0))))))),
% 17.40/12.62 inference(transitivity,[status(thm)],[36492, 36490])).
% 17.40/12.62 tff(36494,plain,
% 17.40/12.62 ((~![VarCurr: $i] : (v122(VarCurr) <=> (~(v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)))))) | (v122(constB195) <=> (~(v90(constB195, bitIndex2) | (~v90(constB195, bitIndex0)) | (~v90(constB195, bitIndex1)))))),
% 17.40/12.62 inference(quant_inst,[status(thm)],[])).
% 17.40/12.62 tff(36495,plain,
% 17.40/12.62 ((~![VarCurr: $i] : (v122(VarCurr) <=> (~(v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)))))) | (v122(constB195) <=> (~(v90(constB195, bitIndex2) | (~v90(constB195, bitIndex1)) | (~v90(constB195, bitIndex0)))))),
% 17.40/12.62 inference(modus_ponens,[status(thm)],[36494, 36493])).
% 17.40/12.62 tff(36496,plain,
% 17.40/12.62 (v122(constB195) <=> (~(v90(constB195, bitIndex2) | (~v90(constB195, bitIndex1)) | (~v90(constB195, bitIndex0))))),
% 17.40/12.62 inference(unit_resolution,[status(thm)],[36495, 734])).
% 17.40/12.62 tff(36497,plain,
% 17.40/12.62 ((v90(constB195, bitIndex2) | (~v90(constB195, bitIndex1)) | (~v90(constB195, bitIndex0))) | (~v90(constB195, bitIndex2))),
% 17.40/12.62 inference(tautology,[status(thm)],[])).
% 17.40/12.62 tff(36498,plain,
% 17.40/12.62 (v90(constB195, bitIndex2) | (~v90(constB195, bitIndex1)) | (~v90(constB195, bitIndex0))),
% 17.40/12.62 inference(unit_resolution,[status(thm)],[36497, 27091])).
% 17.40/12.62 tff(36499,plain,
% 17.40/12.62 ((~(v122(constB195) <=> (~(v90(constB195, bitIndex2) | (~v90(constB195, bitIndex1)) | (~v90(constB195, bitIndex0)))))) | (~v122(constB195)) | (~(v90(constB195, bitIndex2) | (~v90(constB195, bitIndex1)) | (~v90(constB195, bitIndex0))))),
% 17.40/12.62 inference(tautology,[status(thm)],[])).
% 17.40/12.62 tff(36500,plain,
% 17.40/12.62 (~v122(constB195)),
% 17.40/12.62 inference(unit_resolution,[status(thm)],[36499, 36498, 36496])).
% 17.40/12.62 tff(36501,plain,
% 17.40/12.62 (((~![VarCurr: $i] : (v121(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex1)))))) | (v121(constB195) <=> (~(v90(constB195, bitIndex2) | (~v90(constB195, bitIndex1)) | v90(constB195, bitIndex0))))) <=> ((~![VarCurr: $i] : (v121(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex1)))))) | (v121(constB195) <=> (~(v90(constB195, bitIndex2) | (~v90(constB195, bitIndex1)) | v90(constB195, bitIndex0)))))),
% 17.40/12.62 inference(rewrite,[status(thm)],[])).
% 17.40/12.62 tff(36502,plain,
% 17.40/12.62 ((v121(constB195) <=> (~(v90(constB195, bitIndex0) | v90(constB195, bitIndex2) | (~v90(constB195, bitIndex1))))) <=> (v121(constB195) <=> (~(v90(constB195, bitIndex2) | (~v90(constB195, bitIndex1)) | v90(constB195, bitIndex0))))),
% 17.40/12.62 inference(rewrite,[status(thm)],[])).
% 17.40/12.62 tff(36503,plain,
% 17.40/12.62 (((~![VarCurr: $i] : (v121(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex1)))))) | (v121(constB195) <=> (~(v90(constB195, bitIndex0) | v90(constB195, bitIndex2) | (~v90(constB195, bitIndex1)))))) <=> ((~![VarCurr: $i] : (v121(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex1)))))) | (v121(constB195) <=> (~(v90(constB195, bitIndex2) | (~v90(constB195, bitIndex1)) | v90(constB195, bitIndex0)))))),
% 17.40/12.62 inference(monotonicity,[status(thm)],[36502])).
% 17.40/12.62 tff(36504,plain,
% 17.40/12.62 (((~![VarCurr: $i] : (v121(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex1)))))) | (v121(constB195) <=> (~(v90(constB195, bitIndex0) | v90(constB195, bitIndex2) | (~v90(constB195, bitIndex1)))))) <=> ((~![VarCurr: $i] : (v121(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex1)))))) | (v121(constB195) <=> (~(v90(constB195, bitIndex2) | (~v90(constB195, bitIndex1)) | v90(constB195, bitIndex0)))))),
% 17.40/12.62 inference(transitivity,[status(thm)],[36503, 36501])).
% 17.40/12.62 tff(36505,plain,
% 17.40/12.62 ((~![VarCurr: $i] : (v121(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex1)))))) | (v121(constB195) <=> (~(v90(constB195, bitIndex0) | v90(constB195, bitIndex2) | (~v90(constB195, bitIndex1)))))),
% 17.40/12.62 inference(quant_inst,[status(thm)],[])).
% 17.40/12.62 tff(36506,plain,
% 17.40/12.62 ((~![VarCurr: $i] : (v121(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex1)))))) | (v121(constB195) <=> (~(v90(constB195, bitIndex2) | (~v90(constB195, bitIndex1)) | v90(constB195, bitIndex0))))),
% 17.40/12.62 inference(modus_ponens,[status(thm)],[36505, 36504])).
% 17.40/12.62 tff(36507,plain,
% 17.40/12.62 (v121(constB195) <=> (~(v90(constB195, bitIndex2) | (~v90(constB195, bitIndex1)) | v90(constB195, bitIndex0)))),
% 17.40/12.62 inference(unit_resolution,[status(thm)],[36506, 849])).
% 17.40/12.62 tff(36508,plain,
% 17.40/12.62 ((v90(constB195, bitIndex2) | (~v90(constB195, bitIndex1)) | v90(constB195, bitIndex0)) | (~v90(constB195, bitIndex2))),
% 17.40/12.62 inference(tautology,[status(thm)],[])).
% 17.40/12.62 tff(36509,plain,
% 17.40/12.62 (v90(constB195, bitIndex2) | (~v90(constB195, bitIndex1)) | v90(constB195, bitIndex0)),
% 17.40/12.62 inference(unit_resolution,[status(thm)],[36508, 27091])).
% 17.40/12.62 tff(36510,plain,
% 17.40/12.62 ((~(v121(constB195) <=> (~(v90(constB195, bitIndex2) | (~v90(constB195, bitIndex1)) | v90(constB195, bitIndex0))))) | (~v121(constB195)) | (~(v90(constB195, bitIndex2) | (~v90(constB195, bitIndex1)) | v90(constB195, bitIndex0)))),
% 17.40/12.62 inference(tautology,[status(thm)],[])).
% 17.40/12.62 tff(36511,plain,
% 17.40/12.62 (~v121(constB195)),
% 17.40/12.62 inference(unit_resolution,[status(thm)],[36510, 36509, 36507])).
% 17.40/12.62 tff(36512,plain,
% 17.40/12.62 (((~![VarCurr: $i] : (v120(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)))))) | (v120(constB195) <=> (~(v90(constB195, bitIndex2) | v90(constB195, bitIndex1) | (~v90(constB195, bitIndex0)))))) <=> ((~![VarCurr: $i] : (v120(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)))))) | (v120(constB195) <=> (~(v90(constB195, bitIndex2) | v90(constB195, bitIndex1) | (~v90(constB195, bitIndex0))))))),
% 17.40/12.62 inference(rewrite,[status(thm)],[])).
% 17.40/12.62 tff(36513,plain,
% 17.40/12.62 ((v120(constB195) <=> (~(v90(constB195, bitIndex1) | v90(constB195, bitIndex2) | (~v90(constB195, bitIndex0))))) <=> (v120(constB195) <=> (~(v90(constB195, bitIndex2) | v90(constB195, bitIndex1) | (~v90(constB195, bitIndex0)))))),
% 17.40/12.63 inference(rewrite,[status(thm)],[])).
% 17.40/12.63 tff(36514,plain,
% 17.40/12.63 (((~![VarCurr: $i] : (v120(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)))))) | (v120(constB195) <=> (~(v90(constB195, bitIndex1) | v90(constB195, bitIndex2) | (~v90(constB195, bitIndex0)))))) <=> ((~![VarCurr: $i] : (v120(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)))))) | (v120(constB195) <=> (~(v90(constB195, bitIndex2) | v90(constB195, bitIndex1) | (~v90(constB195, bitIndex0))))))),
% 17.40/12.63 inference(monotonicity,[status(thm)],[36513])).
% 17.40/12.63 tff(36515,plain,
% 17.40/12.63 (((~![VarCurr: $i] : (v120(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)))))) | (v120(constB195) <=> (~(v90(constB195, bitIndex1) | v90(constB195, bitIndex2) | (~v90(constB195, bitIndex0)))))) <=> ((~![VarCurr: $i] : (v120(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)))))) | (v120(constB195) <=> (~(v90(constB195, bitIndex2) | v90(constB195, bitIndex1) | (~v90(constB195, bitIndex0))))))),
% 17.40/12.63 inference(transitivity,[status(thm)],[36514, 36512])).
% 17.40/12.63 tff(36516,plain,
% 17.40/12.63 ((~![VarCurr: $i] : (v120(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)))))) | (v120(constB195) <=> (~(v90(constB195, bitIndex1) | v90(constB195, bitIndex2) | (~v90(constB195, bitIndex0)))))),
% 17.40/12.63 inference(quant_inst,[status(thm)],[])).
% 17.40/12.63 tff(36517,plain,
% 17.40/12.63 ((~![VarCurr: $i] : (v120(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)))))) | (v120(constB195) <=> (~(v90(constB195, bitIndex2) | v90(constB195, bitIndex1) | (~v90(constB195, bitIndex0)))))),
% 17.40/12.63 inference(modus_ponens,[status(thm)],[36516, 36515])).
% 17.40/12.63 tff(36518,plain,
% 17.40/12.63 (v120(constB195) <=> (~(v90(constB195, bitIndex2) | v90(constB195, bitIndex1) | (~v90(constB195, bitIndex0))))),
% 17.40/12.63 inference(unit_resolution,[status(thm)],[36517, 966])).
% 17.40/12.63 tff(36519,plain,
% 17.40/12.63 ((v90(constB195, bitIndex2) | v90(constB195, bitIndex1) | (~v90(constB195, bitIndex0))) | (~v90(constB195, bitIndex2))),
% 17.40/12.63 inference(tautology,[status(thm)],[])).
% 17.40/12.63 tff(36520,plain,
% 17.40/12.63 (v90(constB195, bitIndex2) | v90(constB195, bitIndex1) | (~v90(constB195, bitIndex0))),
% 17.40/12.63 inference(unit_resolution,[status(thm)],[36519, 27091])).
% 17.40/12.63 tff(36521,plain,
% 17.40/12.63 ((~(v120(constB195) <=> (~(v90(constB195, bitIndex2) | v90(constB195, bitIndex1) | (~v90(constB195, bitIndex0)))))) | (~v120(constB195)) | (~(v90(constB195, bitIndex2) | v90(constB195, bitIndex1) | (~v90(constB195, bitIndex0))))),
% 17.40/12.63 inference(tautology,[status(thm)],[])).
% 17.40/12.63 tff(36522,plain,
% 17.40/12.63 (~v120(constB195)),
% 17.40/12.63 inference(unit_resolution,[status(thm)],[36521, 36520, 36518])).
% 17.40/12.63 tff(36523,plain,
% 17.40/12.63 (((~![VarCurr: $i] : (v124(VarCurr) | v123(VarCurr) | v122(VarCurr) | v121(VarCurr) | v120(VarCurr) | v119(VarCurr) | ![B: $i] : ((~less_3(B)) | (v130(VarCurr, B) <=> b001(B))))) | (v119(constB195) | v120(constB195) | v121(constB195) | v122(constB195) | v123(constB195) | v124(constB195) | ![B: $i] : ((~less_3(B)) | (v130(constB195, B) <=> b001(B))))) <=> ((~![VarCurr: $i] : (v124(VarCurr) | v123(VarCurr) | v122(VarCurr) | v121(VarCurr) | v120(VarCurr) | v119(VarCurr) | ![B: $i] : ((~less_3(B)) | (v130(VarCurr, B) <=> b001(B))))) | v119(constB195) | v120(constB195) | v121(constB195) | v122(constB195) | v123(constB195) | v124(constB195) | ![B: $i] : ((~less_3(B)) | (v130(constB195, B) <=> b001(B))))),
% 17.40/12.63 inference(rewrite,[status(thm)],[])).
% 17.40/12.63 tff(36524,plain,
% 17.40/12.63 ((v124(constB195) | v123(constB195) | v122(constB195) | v121(constB195) | v120(constB195) | v119(constB195) | ![B: $i] : ((~less_3(B)) | (v130(constB195, B) <=> b001(B)))) <=> (v119(constB195) | v120(constB195) | v121(constB195) | v122(constB195) | v123(constB195) | v124(constB195) | ![B: $i] : ((~less_3(B)) | (v130(constB195, B) <=> b001(B))))),
% 17.40/12.63 inference(rewrite,[status(thm)],[])).
% 17.40/12.63 tff(36525,plain,
% 17.40/12.63 (((~![VarCurr: $i] : (v124(VarCurr) | v123(VarCurr) | v122(VarCurr) | v121(VarCurr) | v120(VarCurr) | v119(VarCurr) | ![B: $i] : ((~less_3(B)) | (v130(VarCurr, B) <=> b001(B))))) | (v124(constB195) | v123(constB195) | v122(constB195) | v121(constB195) | v120(constB195) | v119(constB195) | ![B: $i] : ((~less_3(B)) | (v130(constB195, B) <=> b001(B))))) <=> ((~![VarCurr: $i] : (v124(VarCurr) | v123(VarCurr) | v122(VarCurr) | v121(VarCurr) | v120(VarCurr) | v119(VarCurr) | ![B: $i] : ((~less_3(B)) | (v130(VarCurr, B) <=> b001(B))))) | (v119(constB195) | v120(constB195) | v121(constB195) | v122(constB195) | v123(constB195) | v124(constB195) | ![B: $i] : ((~less_3(B)) | (v130(constB195, B) <=> b001(B)))))),
% 17.40/12.63 inference(monotonicity,[status(thm)],[36524])).
% 17.40/12.63 tff(36526,plain,
% 17.40/12.63 (((~![VarCurr: $i] : (v124(VarCurr) | v123(VarCurr) | v122(VarCurr) | v121(VarCurr) | v120(VarCurr) | v119(VarCurr) | ![B: $i] : ((~less_3(B)) | (v130(VarCurr, B) <=> b001(B))))) | (v124(constB195) | v123(constB195) | v122(constB195) | v121(constB195) | v120(constB195) | v119(constB195) | ![B: $i] : ((~less_3(B)) | (v130(constB195, B) <=> b001(B))))) <=> ((~![VarCurr: $i] : (v124(VarCurr) | v123(VarCurr) | v122(VarCurr) | v121(VarCurr) | v120(VarCurr) | v119(VarCurr) | ![B: $i] : ((~less_3(B)) | (v130(VarCurr, B) <=> b001(B))))) | v119(constB195) | v120(constB195) | v121(constB195) | v122(constB195) | v123(constB195) | v124(constB195) | ![B: $i] : ((~less_3(B)) | (v130(constB195, B) <=> b001(B))))),
% 17.40/12.63 inference(transitivity,[status(thm)],[36525, 36523])).
% 17.40/12.63 tff(36527,plain,
% 17.40/12.63 ((~![VarCurr: $i] : (v124(VarCurr) | v123(VarCurr) | v122(VarCurr) | v121(VarCurr) | v120(VarCurr) | v119(VarCurr) | ![B: $i] : ((~less_3(B)) | (v130(VarCurr, B) <=> b001(B))))) | (v124(constB195) | v123(constB195) | v122(constB195) | v121(constB195) | v120(constB195) | v119(constB195) | ![B: $i] : ((~less_3(B)) | (v130(constB195, B) <=> b001(B))))),
% 17.40/12.63 inference(quant_inst,[status(thm)],[])).
% 17.40/12.63 tff(36528,plain,
% 17.40/12.63 ((~![VarCurr: $i] : (v124(VarCurr) | v123(VarCurr) | v122(VarCurr) | v121(VarCurr) | v120(VarCurr) | v119(VarCurr) | ![B: $i] : ((~less_3(B)) | (v130(VarCurr, B) <=> b001(B))))) | v119(constB195) | v120(constB195) | v121(constB195) | v122(constB195) | v123(constB195) | v124(constB195) | ![B: $i] : ((~less_3(B)) | (v130(constB195, B) <=> b001(B)))),
% 17.40/12.63 inference(modus_ponens,[status(thm)],[36527, 36526])).
% 17.40/12.63 tff(36529,plain,
% 17.40/12.63 (v119(constB195) | v120(constB195) | v121(constB195) | v122(constB195) | v123(constB195) | v124(constB195) | ![B: $i] : ((~less_3(B)) | (v130(constB195, B) <=> b001(B)))),
% 17.40/12.63 inference(unit_resolution,[status(thm)],[36528, 5610])).
% 17.40/12.63 tff(36530,plain,
% 17.40/12.63 (![B: $i] : ((~less_3(B)) | (v130(constB195, B) <=> b001(B)))),
% 17.40/12.63 inference(unit_resolution,[status(thm)],[36529, 36522, 36511, 36500, 36489, 36478, 36467])).
% 17.40/12.63 tff(36531,plain,
% 17.40/12.63 (((~![B: $i] : ((~less_3(B)) | (v130(constB195, B) <=> b001(B)))) | ((~less_3(bitIndex2)) | (v130(constB195, bitIndex2) <=> b001(bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v130(constB195, B) <=> b001(B)))) | (~less_3(bitIndex2)) | (v130(constB195, bitIndex2) <=> b001(bitIndex2)))),
% 17.40/12.63 inference(rewrite,[status(thm)],[])).
% 17.40/12.63 tff(36532,plain,
% 17.40/12.63 ((~![B: $i] : ((~less_3(B)) | (v130(constB195, B) <=> b001(B)))) | ((~less_3(bitIndex2)) | (v130(constB195, bitIndex2) <=> b001(bitIndex2)))),
% 17.40/12.63 inference(quant_inst,[status(thm)],[])).
% 17.40/12.63 tff(36533,plain,
% 17.40/12.63 ((~![B: $i] : ((~less_3(B)) | (v130(constB195, B) <=> b001(B)))) | (~less_3(bitIndex2)) | (v130(constB195, bitIndex2) <=> b001(bitIndex2))),
% 17.40/12.63 inference(modus_ponens,[status(thm)],[36532, 36531])).
% 17.40/12.63 tff(36534,plain,
% 17.40/12.63 (v130(constB195, bitIndex2) <=> b001(bitIndex2)),
% 17.40/12.63 inference(unit_resolution,[status(thm)],[36533, 413, 36530])).
% 17.40/12.63 tff(36535,plain,
% 17.40/12.63 ((~(v130(constB195, bitIndex2) <=> b001(bitIndex2))) | (~v130(constB195, bitIndex2)) | b001(bitIndex2)),
% 17.40/12.63 inference(tautology,[status(thm)],[])).
% 17.40/12.63 tff(36536,plain,
% 17.40/12.63 ((~(v130(constB195, bitIndex2) <=> b001(bitIndex2))) | (~v130(constB195, bitIndex2))),
% 17.40/12.63 inference(unit_resolution,[status(thm)],[36535, 5625])).
% 17.40/12.63 tff(36537,plain,
% 17.40/12.63 (~v130(constB195, bitIndex2)),
% 17.40/12.63 inference(unit_resolution,[status(thm)],[36536, 36534])).
% 17.40/12.63 tff(36538,plain,
% 17.40/12.63 ((~(v127(constB195, bitIndex2) <=> v130(constB195, bitIndex2))) | (~v127(constB195, bitIndex2)) | v130(constB195, bitIndex2)),
% 17.40/12.63 inference(tautology,[status(thm)],[])).
% 17.40/12.63 tff(36539,plain,
% 17.40/12.63 (~v127(constB195, bitIndex2)),
% 17.40/12.63 inference(unit_resolution,[status(thm)],[36538, 36537, 36461])).
% 17.40/12.63 tff(36540,plain,
% 17.40/12.63 ((~(v129(constB196, bitIndex2) <=> v127(constB195, bitIndex2))) | (~v129(constB196, bitIndex2)) | v127(constB195, bitIndex2)),
% 17.40/12.63 inference(tautology,[status(thm)],[])).
% 17.40/12.63 tff(36541,plain,
% 17.40/12.63 (~v129(constB196, bitIndex2)),
% 17.40/12.63 inference(unit_resolution,[status(thm)],[36540, 36539, 36453])).
% 17.40/12.63 tff(36542,plain,
% 17.40/12.63 ((~(v90(constB196, bitIndex2) <=> v129(constB196, bitIndex2))) | (~v90(constB196, bitIndex2)) | v129(constB196, bitIndex2)),
% 17.40/12.63 inference(tautology,[status(thm)],[])).
% 17.40/12.63 tff(36543,plain,
% 17.40/12.63 (~v90(constB196, bitIndex2)),
% 17.40/12.63 inference(unit_resolution,[status(thm)],[36542, 36541, 36445])).
% 17.40/12.63 tff(36544,plain,
% 17.40/12.63 ((~(v90(constB197, bitIndex2) <=> v90(constB196, bitIndex2))) | (~v90(constB197, bitIndex2)) | v90(constB196, bitIndex2)),
% 17.40/12.63 inference(tautology,[status(thm)],[])).
% 17.40/12.63 tff(36545,plain,
% 17.40/12.63 (~v90(constB197, bitIndex2)),
% 17.40/12.63 inference(unit_resolution,[status(thm)],[36544, 36543, 36355])).
% 17.40/12.63 tff(36546,plain,
% 17.40/12.63 (((~![B: $i] : ((~less_3(B)) | (v90(constB197, B) <=> v90(constB196, B)))) | ((~less_3(bitIndex0)) | (v90(constB197, bitIndex0) <=> v90(constB196, bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v90(constB197, B) <=> v90(constB196, B)))) | (~less_3(bitIndex0)) | (v90(constB197, bitIndex0) <=> v90(constB196, bitIndex0)))),
% 17.40/12.63 inference(rewrite,[status(thm)],[])).
% 17.40/12.63 tff(36547,plain,
% 17.40/12.63 ((~![B: $i] : ((~less_3(B)) | (v90(constB197, B) <=> v90(constB196, B)))) | ((~less_3(bitIndex0)) | (v90(constB197, bitIndex0) <=> v90(constB196, bitIndex0)))),
% 17.40/12.63 inference(quant_inst,[status(thm)],[])).
% 17.40/12.63 tff(36548,plain,
% 17.40/12.63 ((~![B: $i] : ((~less_3(B)) | (v90(constB197, B) <=> v90(constB196, B)))) | (~less_3(bitIndex0)) | (v90(constB197, bitIndex0) <=> v90(constB196, bitIndex0))),
% 17.40/12.63 inference(modus_ponens,[status(thm)],[36547, 36546])).
% 17.40/12.63 tff(36549,plain,
% 17.40/12.63 (v90(constB197, bitIndex0) <=> v90(constB196, bitIndex0)),
% 17.40/12.63 inference(unit_resolution,[status(thm)],[36548, 5004, 36351])).
% 17.40/12.63 tff(36550,plain,
% 17.40/12.63 (((~![B: $i] : ((~less_3(B)) | (v90(constB196, B) <=> v129(constB196, B)))) | ((~less_3(bitIndex0)) | (v90(constB196, bitIndex0) <=> v129(constB196, bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v90(constB196, B) <=> v129(constB196, B)))) | (~less_3(bitIndex0)) | (v90(constB196, bitIndex0) <=> v129(constB196, bitIndex0)))),
% 17.40/12.63 inference(rewrite,[status(thm)],[])).
% 17.40/12.63 tff(36551,plain,
% 17.40/12.63 ((~![B: $i] : ((~less_3(B)) | (v90(constB196, B) <=> v129(constB196, B)))) | ((~less_3(bitIndex0)) | (v90(constB196, bitIndex0) <=> v129(constB196, bitIndex0)))),
% 17.40/12.63 inference(quant_inst,[status(thm)],[])).
% 17.40/12.63 tff(36552,plain,
% 17.40/12.63 ((~![B: $i] : ((~less_3(B)) | (v90(constB196, B) <=> v129(constB196, B)))) | (~less_3(bitIndex0)) | (v90(constB196, bitIndex0) <=> v129(constB196, bitIndex0))),
% 17.40/12.63 inference(modus_ponens,[status(thm)],[36551, 36550])).
% 17.40/12.63 tff(36553,plain,
% 17.40/12.63 (v90(constB196, bitIndex0) <=> v129(constB196, bitIndex0)),
% 17.40/12.63 inference(unit_resolution,[status(thm)],[36552, 5004, 36441])).
% 17.40/12.63 tff(36554,plain,
% 17.40/12.63 (((~![B: $i] : ((~less_3(B)) | (v129(constB196, B) <=> v127(constB195, B)))) | ((~less_3(bitIndex0)) | (v129(constB196, bitIndex0) <=> v127(constB195, bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v129(constB196, B) <=> v127(constB195, B)))) | (~less_3(bitIndex0)) | (v129(constB196, bitIndex0) <=> v127(constB195, bitIndex0)))),
% 17.40/12.63 inference(rewrite,[status(thm)],[])).
% 17.40/12.63 tff(36555,plain,
% 17.40/12.63 ((~![B: $i] : ((~less_3(B)) | (v129(constB196, B) <=> v127(constB195, B)))) | ((~less_3(bitIndex0)) | (v129(constB196, bitIndex0) <=> v127(constB195, bitIndex0)))),
% 17.40/12.63 inference(quant_inst,[status(thm)],[])).
% 17.40/12.63 tff(36556,plain,
% 17.40/12.63 ((~![B: $i] : ((~less_3(B)) | (v129(constB196, B) <=> v127(constB195, B)))) | (~less_3(bitIndex0)) | (v129(constB196, bitIndex0) <=> v127(constB195, bitIndex0))),
% 17.40/12.64 inference(modus_ponens,[status(thm)],[36555, 36554])).
% 17.40/12.64 tff(36557,plain,
% 17.40/12.64 (v129(constB196, bitIndex0) <=> v127(constB195, bitIndex0)),
% 17.40/12.64 inference(unit_resolution,[status(thm)],[36556, 5004, 36449])).
% 17.40/12.64 tff(36558,plain,
% 17.40/12.64 (((~![B: $i] : ((~less_3(B)) | (v127(constB195, B) <=> v130(constB195, B)))) | ((~less_3(bitIndex0)) | (v127(constB195, bitIndex0) <=> v130(constB195, bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v127(constB195, B) <=> v130(constB195, B)))) | (~less_3(bitIndex0)) | (v127(constB195, bitIndex0) <=> v130(constB195, bitIndex0)))),
% 17.40/12.64 inference(rewrite,[status(thm)],[])).
% 17.40/12.64 tff(36559,plain,
% 17.40/12.64 ((~![B: $i] : ((~less_3(B)) | (v127(constB195, B) <=> v130(constB195, B)))) | ((~less_3(bitIndex0)) | (v127(constB195, bitIndex0) <=> v130(constB195, bitIndex0)))),
% 17.40/12.64 inference(quant_inst,[status(thm)],[])).
% 17.40/12.64 tff(36560,plain,
% 17.40/12.64 ((~![B: $i] : ((~less_3(B)) | (v127(constB195, B) <=> v130(constB195, B)))) | (~less_3(bitIndex0)) | (v127(constB195, bitIndex0) <=> v130(constB195, bitIndex0))),
% 17.40/12.64 inference(modus_ponens,[status(thm)],[36559, 36558])).
% 17.40/12.64 tff(36561,plain,
% 17.40/12.64 (v127(constB195, bitIndex0) <=> v130(constB195, bitIndex0)),
% 17.40/12.64 inference(unit_resolution,[status(thm)],[36560, 5004, 36457])).
% 17.40/12.64 tff(36562,plain,
% 17.40/12.64 (((~![B: $i] : ((~less_3(B)) | (v130(constB195, B) <=> b001(B)))) | ((~less_3(bitIndex0)) | (v130(constB195, bitIndex0) <=> b001(bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v130(constB195, B) <=> b001(B)))) | (~less_3(bitIndex0)) | (v130(constB195, bitIndex0) <=> b001(bitIndex0)))),
% 17.40/12.64 inference(rewrite,[status(thm)],[])).
% 17.40/12.64 tff(36563,plain,
% 17.40/12.64 ((~![B: $i] : ((~less_3(B)) | (v130(constB195, B) <=> b001(B)))) | ((~less_3(bitIndex0)) | (v130(constB195, bitIndex0) <=> b001(bitIndex0)))),
% 17.40/12.64 inference(quant_inst,[status(thm)],[])).
% 17.40/12.64 tff(36564,plain,
% 17.40/12.64 ((~![B: $i] : ((~less_3(B)) | (v130(constB195, B) <=> b001(B)))) | (~less_3(bitIndex0)) | (v130(constB195, bitIndex0) <=> b001(bitIndex0))),
% 17.40/12.64 inference(modus_ponens,[status(thm)],[36563, 36562])).
% 17.40/12.64 tff(36565,plain,
% 17.40/12.64 (v130(constB195, bitIndex0) <=> b001(bitIndex0)),
% 17.40/12.64 inference(unit_resolution,[status(thm)],[36564, 5004, 36530])).
% 17.40/12.64 tff(36566,plain,
% 17.40/12.64 ((~(v130(constB195, bitIndex0) <=> b001(bitIndex0))) | v130(constB195, bitIndex0) | (~b001(bitIndex0))),
% 17.40/12.64 inference(tautology,[status(thm)],[])).
% 17.40/12.64 tff(36567,plain,
% 17.40/12.64 ((~(v130(constB195, bitIndex0) <=> b001(bitIndex0))) | v130(constB195, bitIndex0)),
% 17.40/12.64 inference(unit_resolution,[status(thm)],[36566, 5659])).
% 17.40/12.64 tff(36568,plain,
% 17.40/12.64 (v130(constB195, bitIndex0)),
% 17.40/12.64 inference(unit_resolution,[status(thm)],[36567, 36565])).
% 17.40/12.64 tff(36569,plain,
% 17.40/12.64 ((~(v127(constB195, bitIndex0) <=> v130(constB195, bitIndex0))) | v127(constB195, bitIndex0) | (~v130(constB195, bitIndex0))),
% 17.40/12.64 inference(tautology,[status(thm)],[])).
% 17.40/12.64 tff(36570,plain,
% 17.40/12.64 (v127(constB195, bitIndex0)),
% 17.40/12.64 inference(unit_resolution,[status(thm)],[36569, 36568, 36561])).
% 17.40/12.64 tff(36571,plain,
% 17.40/12.64 ((~(v129(constB196, bitIndex0) <=> v127(constB195, bitIndex0))) | v129(constB196, bitIndex0) | (~v127(constB195, bitIndex0))),
% 17.40/12.64 inference(tautology,[status(thm)],[])).
% 17.40/12.64 tff(36572,plain,
% 17.40/12.64 (v129(constB196, bitIndex0)),
% 17.40/12.64 inference(unit_resolution,[status(thm)],[36571, 36570, 36557])).
% 17.40/12.64 tff(36573,plain,
% 17.40/12.64 ((~(v90(constB196, bitIndex0) <=> v129(constB196, bitIndex0))) | v90(constB196, bitIndex0) | (~v129(constB196, bitIndex0))),
% 17.40/12.64 inference(tautology,[status(thm)],[])).
% 17.40/12.64 tff(36574,plain,
% 17.40/12.64 (v90(constB196, bitIndex0)),
% 17.40/12.64 inference(unit_resolution,[status(thm)],[36573, 36572, 36553])).
% 17.40/12.64 tff(36575,plain,
% 17.40/12.64 ((~(v90(constB197, bitIndex0) <=> v90(constB196, bitIndex0))) | v90(constB197, bitIndex0) | (~v90(constB196, bitIndex0))),
% 17.40/12.64 inference(tautology,[status(thm)],[])).
% 17.40/12.64 tff(36576,plain,
% 17.40/12.64 (v90(constB197, bitIndex0)),
% 17.40/12.64 inference(unit_resolution,[status(thm)],[36575, 36574, 36549])).
% 17.40/12.64 tff(36577,plain,
% 17.40/12.64 (((~![B: $i] : ((~less_3(B)) | (v90(constB197, B) <=> v90(constB196, B)))) | ((~less_3(bitIndex1)) | (v90(constB197, bitIndex1) <=> v90(constB196, bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v90(constB197, B) <=> v90(constB196, B)))) | (~less_3(bitIndex1)) | (v90(constB197, bitIndex1) <=> v90(constB196, bitIndex1)))),
% 17.40/12.64 inference(rewrite,[status(thm)],[])).
% 17.40/12.64 tff(36578,plain,
% 17.40/12.64 ((~![B: $i] : ((~less_3(B)) | (v90(constB197, B) <=> v90(constB196, B)))) | ((~less_3(bitIndex1)) | (v90(constB197, bitIndex1) <=> v90(constB196, bitIndex1)))),
% 17.40/12.64 inference(quant_inst,[status(thm)],[])).
% 17.40/12.64 tff(36579,plain,
% 17.40/12.64 ((~![B: $i] : ((~less_3(B)) | (v90(constB197, B) <=> v90(constB196, B)))) | (~less_3(bitIndex1)) | (v90(constB197, bitIndex1) <=> v90(constB196, bitIndex1))),
% 17.40/12.64 inference(modus_ponens,[status(thm)],[36578, 36577])).
% 17.40/12.64 tff(36580,plain,
% 17.40/12.64 (v90(constB197, bitIndex1) <=> v90(constB196, bitIndex1)),
% 17.40/12.64 inference(unit_resolution,[status(thm)],[36579, 5017, 36351])).
% 17.40/12.64 tff(36581,plain,
% 17.40/12.64 (((~![B: $i] : ((~less_3(B)) | (v90(constB196, B) <=> v129(constB196, B)))) | ((~less_3(bitIndex1)) | (v90(constB196, bitIndex1) <=> v129(constB196, bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v90(constB196, B) <=> v129(constB196, B)))) | (~less_3(bitIndex1)) | (v90(constB196, bitIndex1) <=> v129(constB196, bitIndex1)))),
% 17.40/12.64 inference(rewrite,[status(thm)],[])).
% 17.40/12.64 tff(36582,plain,
% 17.40/12.64 ((~![B: $i] : ((~less_3(B)) | (v90(constB196, B) <=> v129(constB196, B)))) | ((~less_3(bitIndex1)) | (v90(constB196, bitIndex1) <=> v129(constB196, bitIndex1)))),
% 17.40/12.64 inference(quant_inst,[status(thm)],[])).
% 17.40/12.64 tff(36583,plain,
% 17.40/12.64 ((~![B: $i] : ((~less_3(B)) | (v90(constB196, B) <=> v129(constB196, B)))) | (~less_3(bitIndex1)) | (v90(constB196, bitIndex1) <=> v129(constB196, bitIndex1))),
% 17.40/12.64 inference(modus_ponens,[status(thm)],[36582, 36581])).
% 17.40/12.64 tff(36584,plain,
% 17.40/12.64 (v90(constB196, bitIndex1) <=> v129(constB196, bitIndex1)),
% 17.40/12.64 inference(unit_resolution,[status(thm)],[36583, 5017, 36441])).
% 17.40/12.64 tff(36585,plain,
% 17.40/12.64 (((~![B: $i] : ((~less_3(B)) | (v129(constB196, B) <=> v127(constB195, B)))) | ((~less_3(bitIndex1)) | (v129(constB196, bitIndex1) <=> v127(constB195, bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v129(constB196, B) <=> v127(constB195, B)))) | (~less_3(bitIndex1)) | (v129(constB196, bitIndex1) <=> v127(constB195, bitIndex1)))),
% 17.40/12.64 inference(rewrite,[status(thm)],[])).
% 17.40/12.64 tff(36586,plain,
% 17.40/12.64 ((~![B: $i] : ((~less_3(B)) | (v129(constB196, B) <=> v127(constB195, B)))) | ((~less_3(bitIndex1)) | (v129(constB196, bitIndex1) <=> v127(constB195, bitIndex1)))),
% 17.40/12.64 inference(quant_inst,[status(thm)],[])).
% 17.40/12.64 tff(36587,plain,
% 17.40/12.64 ((~![B: $i] : ((~less_3(B)) | (v129(constB196, B) <=> v127(constB195, B)))) | (~less_3(bitIndex1)) | (v129(constB196, bitIndex1) <=> v127(constB195, bitIndex1))),
% 17.40/12.64 inference(modus_ponens,[status(thm)],[36586, 36585])).
% 17.40/12.64 tff(36588,plain,
% 17.40/12.64 (v129(constB196, bitIndex1) <=> v127(constB195, bitIndex1)),
% 17.40/12.64 inference(unit_resolution,[status(thm)],[36587, 5017, 36449])).
% 17.40/12.64 tff(36589,plain,
% 17.40/12.64 (((~![B: $i] : ((~less_3(B)) | (v127(constB195, B) <=> v130(constB195, B)))) | ((~less_3(bitIndex1)) | (v127(constB195, bitIndex1) <=> v130(constB195, bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v127(constB195, B) <=> v130(constB195, B)))) | (~less_3(bitIndex1)) | (v127(constB195, bitIndex1) <=> v130(constB195, bitIndex1)))),
% 17.40/12.64 inference(rewrite,[status(thm)],[])).
% 17.40/12.64 tff(36590,plain,
% 17.40/12.64 ((~![B: $i] : ((~less_3(B)) | (v127(constB195, B) <=> v130(constB195, B)))) | ((~less_3(bitIndex1)) | (v127(constB195, bitIndex1) <=> v130(constB195, bitIndex1)))),
% 17.40/12.64 inference(quant_inst,[status(thm)],[])).
% 17.40/12.64 tff(36591,plain,
% 17.40/12.64 ((~![B: $i] : ((~less_3(B)) | (v127(constB195, B) <=> v130(constB195, B)))) | (~less_3(bitIndex1)) | (v127(constB195, bitIndex1) <=> v130(constB195, bitIndex1))),
% 17.40/12.64 inference(modus_ponens,[status(thm)],[36590, 36589])).
% 17.40/12.64 tff(36592,plain,
% 17.40/12.64 (v127(constB195, bitIndex1) <=> v130(constB195, bitIndex1)),
% 17.40/12.64 inference(unit_resolution,[status(thm)],[36591, 5017, 36457])).
% 17.40/12.64 tff(36593,plain,
% 17.40/12.64 (((~![B: $i] : ((~less_3(B)) | (v130(constB195, B) <=> b001(B)))) | ((~less_3(bitIndex1)) | (v130(constB195, bitIndex1) <=> b001(bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v130(constB195, B) <=> b001(B)))) | (~less_3(bitIndex1)) | (v130(constB195, bitIndex1) <=> b001(bitIndex1)))),
% 17.40/12.64 inference(rewrite,[status(thm)],[])).
% 17.40/12.64 tff(36594,plain,
% 17.40/12.64 ((~![B: $i] : ((~less_3(B)) | (v130(constB195, B) <=> b001(B)))) | ((~less_3(bitIndex1)) | (v130(constB195, bitIndex1) <=> b001(bitIndex1)))),
% 17.40/12.64 inference(quant_inst,[status(thm)],[])).
% 17.40/12.64 tff(36595,plain,
% 17.40/12.64 ((~![B: $i] : ((~less_3(B)) | (v130(constB195, B) <=> b001(B)))) | (~less_3(bitIndex1)) | (v130(constB195, bitIndex1) <=> b001(bitIndex1))),
% 17.40/12.64 inference(modus_ponens,[status(thm)],[36594, 36593])).
% 17.40/12.64 tff(36596,plain,
% 17.40/12.64 (v130(constB195, bitIndex1) <=> b001(bitIndex1)),
% 17.40/12.64 inference(unit_resolution,[status(thm)],[36595, 5017, 36530])).
% 17.40/12.64 tff(36597,plain,
% 17.40/12.64 ((~(v130(constB195, bitIndex1) <=> b001(bitIndex1))) | (~v130(constB195, bitIndex1)) | b001(bitIndex1)),
% 17.40/12.64 inference(tautology,[status(thm)],[])).
% 17.40/12.64 tff(36598,plain,
% 17.40/12.64 ((~(v130(constB195, bitIndex1) <=> b001(bitIndex1))) | (~v130(constB195, bitIndex1))),
% 17.40/12.64 inference(unit_resolution,[status(thm)],[36597, 5693])).
% 17.40/12.64 tff(36599,plain,
% 17.40/12.64 (~v130(constB195, bitIndex1)),
% 17.40/12.64 inference(unit_resolution,[status(thm)],[36598, 36596])).
% 17.40/12.64 tff(36600,plain,
% 17.40/12.64 ((~(v127(constB195, bitIndex1) <=> v130(constB195, bitIndex1))) | (~v127(constB195, bitIndex1)) | v130(constB195, bitIndex1)),
% 17.40/12.64 inference(tautology,[status(thm)],[])).
% 17.40/12.64 tff(36601,plain,
% 17.40/12.64 (~v127(constB195, bitIndex1)),
% 17.40/12.64 inference(unit_resolution,[status(thm)],[36600, 36599, 36592])).
% 17.40/12.64 tff(36602,plain,
% 17.40/12.64 ((~(v129(constB196, bitIndex1) <=> v127(constB195, bitIndex1))) | (~v129(constB196, bitIndex1)) | v127(constB195, bitIndex1)),
% 17.40/12.64 inference(tautology,[status(thm)],[])).
% 17.40/12.64 tff(36603,plain,
% 17.40/12.64 (~v129(constB196, bitIndex1)),
% 17.40/12.64 inference(unit_resolution,[status(thm)],[36602, 36601, 36588])).
% 17.40/12.64 tff(36604,plain,
% 17.40/12.64 ((~(v90(constB196, bitIndex1) <=> v129(constB196, bitIndex1))) | (~v90(constB196, bitIndex1)) | v129(constB196, bitIndex1)),
% 17.40/12.64 inference(tautology,[status(thm)],[])).
% 17.40/12.64 tff(36605,plain,
% 17.40/12.64 (~v90(constB196, bitIndex1)),
% 17.40/12.64 inference(unit_resolution,[status(thm)],[36604, 36603, 36584])).
% 17.40/12.64 tff(36606,plain,
% 17.40/12.64 ((~(v90(constB197, bitIndex1) <=> v90(constB196, bitIndex1))) | (~v90(constB197, bitIndex1)) | v90(constB196, bitIndex1)),
% 17.40/12.64 inference(tautology,[status(thm)],[])).
% 17.40/12.64 tff(36607,plain,
% 17.40/12.64 (~v90(constB197, bitIndex1)),
% 17.40/12.64 inference(unit_resolution,[status(thm)],[36606, 36605, 36580])).
% 17.40/12.64 tff(36608,plain,
% 17.40/12.64 ((~(v90(constB197, bitIndex2) | v90(constB197, bitIndex1) | (~v90(constB197, bitIndex0)))) | v90(constB197, bitIndex2) | v90(constB197, bitIndex1) | (~v90(constB197, bitIndex0))),
% 17.40/12.64 inference(tautology,[status(thm)],[])).
% 17.40/12.64 tff(36609,plain,
% 17.40/12.64 (~(v90(constB197, bitIndex2) | v90(constB197, bitIndex1) | (~v90(constB197, bitIndex0)))),
% 17.40/12.64 inference(unit_resolution,[status(thm)],[36608, 36607, 36576, 36545])).
% 17.40/12.64 tff(36610,plain,
% 17.40/12.64 ((~(v120(constB197) <=> (~(v90(constB197, bitIndex2) | v90(constB197, bitIndex1) | (~v90(constB197, bitIndex0)))))) | v120(constB197) | (v90(constB197, bitIndex2) | v90(constB197, bitIndex1) | (~v90(constB197, bitIndex0)))),
% 17.40/12.64 inference(tautology,[status(thm)],[])).
% 17.40/12.64 tff(36611,plain,
% 17.40/12.64 (v120(constB197)),
% 17.40/12.64 inference(unit_resolution,[status(thm)],[36610, 36609, 36326])).
% 17.40/12.64 tff(36612,plain,
% 17.40/12.64 ((v119(constB197) | v120(constB197)) | (~v120(constB197))),
% 17.40/12.64 inference(tautology,[status(thm)],[])).
% 17.40/12.64 tff(36613,plain,
% 17.40/12.64 (v119(constB197) | v120(constB197)),
% 17.40/12.64 inference(unit_resolution,[status(thm)],[36612, 36611])).
% 17.40/12.64 tff(36614,plain,
% 17.40/12.64 ((~(v118(constB197) <=> (v119(constB197) | v120(constB197)))) | v118(constB197) | (~(v119(constB197) | v120(constB197)))),
% 17.40/12.64 inference(tautology,[status(thm)],[])).
% 17.40/12.64 tff(36615,plain,
% 17.40/12.64 (v118(constB197)),
% 17.40/12.64 inference(unit_resolution,[status(thm)],[36614, 36613, 36319])).
% 17.40/12.64 tff(36616,plain,
% 17.40/12.64 ((v118(constB197) | v121(constB197)) | (~v118(constB197))),
% 17.40/12.64 inference(tautology,[status(thm)],[])).
% 17.40/12.64 tff(36617,plain,
% 17.40/12.64 (v118(constB197) | v121(constB197)),
% 17.40/12.64 inference(unit_resolution,[status(thm)],[36616, 36615])).
% 17.40/12.64 tff(36618,plain,
% 17.40/12.64 ((~(v117(constB197) <=> (v118(constB197) | v121(constB197)))) | v117(constB197) | (~(v118(constB197) | v121(constB197)))),
% 17.40/12.64 inference(tautology,[status(thm)],[])).
% 17.40/12.64 tff(36619,plain,
% 17.40/12.64 (v117(constB197)),
% 17.40/12.64 inference(unit_resolution,[status(thm)],[36618, 36617, 36317])).
% 17.40/12.64 tff(36620,plain,
% 17.40/12.64 ((v117(constB197) | v122(constB197)) | (~v117(constB197))),
% 17.40/12.64 inference(tautology,[status(thm)],[])).
% 17.40/12.64 tff(36621,plain,
% 17.40/12.64 (v117(constB197) | v122(constB197)),
% 17.40/12.64 inference(unit_resolution,[status(thm)],[36620, 36619])).
% 17.40/12.64 tff(36622,plain,
% 17.40/12.64 ((~(v116(constB197) <=> (v117(constB197) | v122(constB197)))) | v116(constB197) | (~(v117(constB197) | v122(constB197)))),
% 17.40/12.64 inference(tautology,[status(thm)],[])).
% 17.40/12.64 tff(36623,plain,
% 17.40/12.64 (v116(constB197)),
% 17.40/12.64 inference(unit_resolution,[status(thm)],[36622, 36621, 36315])).
% 17.40/12.64 tff(36624,plain,
% 17.40/12.64 ((v116(constB197) | v123(constB197)) | (~v116(constB197))),
% 17.40/12.64 inference(tautology,[status(thm)],[])).
% 17.40/12.64 tff(36625,plain,
% 17.40/12.64 (v116(constB197) | v123(constB197)),
% 17.40/12.64 inference(unit_resolution,[status(thm)],[36624, 36623])).
% 17.40/12.64 tff(36626,plain,
% 17.40/12.64 ((~(v115(constB197) <=> (v116(constB197) | v123(constB197)))) | v115(constB197) | (~(v116(constB197) | v123(constB197)))),
% 17.40/12.64 inference(tautology,[status(thm)],[])).
% 17.40/12.64 tff(36627,plain,
% 17.40/12.64 (v115(constB197)),
% 17.40/12.64 inference(unit_resolution,[status(thm)],[36626, 36625, 36313])).
% 17.40/12.64 tff(36628,plain,
% 17.40/12.64 ((v115(constB197) | v124(constB197)) | (~v115(constB197))),
% 17.40/12.64 inference(tautology,[status(thm)],[])).
% 17.40/12.64 tff(36629,plain,
% 17.40/12.64 (v115(constB197) | v124(constB197)),
% 17.40/12.64 inference(unit_resolution,[status(thm)],[36628, 36627])).
% 17.40/12.64 tff(36630,plain,
% 17.40/12.64 ((~(v114(constB197) <=> (v115(constB197) | v124(constB197)))) | v114(constB197) | (~(v115(constB197) | v124(constB197)))),
% 17.40/12.64 inference(tautology,[status(thm)],[])).
% 17.40/12.64 tff(36631,plain,
% 17.40/12.64 (v114(constB197)),
% 17.40/12.64 inference(unit_resolution,[status(thm)],[36630, 36629, 36311])).
% 17.40/12.64 tff(36632,plain,
% 17.40/12.64 ((v114(constB197) | v125(constB197)) | (~v114(constB197))),
% 17.40/12.64 inference(tautology,[status(thm)],[])).
% 17.40/12.64 tff(36633,plain,
% 17.40/12.64 (v114(constB197) | v125(constB197)),
% 17.40/12.64 inference(unit_resolution,[status(thm)],[36632, 36631])).
% 17.40/12.64 tff(36634,plain,
% 17.40/12.64 ((~(v113(constB197) <=> (v114(constB197) | v125(constB197)))) | v113(constB197) | (~(v114(constB197) | v125(constB197)))),
% 17.40/12.64 inference(tautology,[status(thm)],[])).
% 17.40/12.64 tff(36635,plain,
% 17.40/12.64 (v113(constB197)),
% 17.40/12.64 inference(unit_resolution,[status(thm)],[36634, 36633, 36309])).
% 17.40/12.64 tff(36636,plain,
% 17.40/12.64 ((~![VarCurr: $i] : ((~v126(VarCurr)) <=> v111(VarCurr))) | ((~v126(constB197)) <=> v111(constB197))),
% 17.40/12.64 inference(quant_inst,[status(thm)],[])).
% 17.40/12.64 tff(36637,plain,
% 17.40/12.64 ((~v126(constB197)) <=> v111(constB197)),
% 17.40/12.64 inference(unit_resolution,[status(thm)],[36636, 5074])).
% 17.40/12.64 tff(36638,plain,
% 17.40/12.64 ((~![VarCurr: $i] : (v111(VarCurr) <=> v26(VarCurr))) | (v111(constB197) <=> v26(constB197))),
% 17.40/12.64 inference(quant_inst,[status(thm)],[])).
% 17.40/12.64 tff(36639,plain,
% 17.40/12.64 (v111(constB197) <=> v26(constB197)),
% 17.40/12.64 inference(unit_resolution,[status(thm)],[36638, 5086])).
% 17.40/12.64 tff(36640,plain,
% 17.40/12.64 ((~![VarCurr: $i] : (~v26(VarCurr))) | (~v26(constB197))),
% 17.40/12.64 inference(quant_inst,[status(thm)],[])).
% 17.40/12.64 tff(36641,plain,
% 17.40/12.64 (~v26(constB197)),
% 17.40/12.64 inference(unit_resolution,[status(thm)],[36640, 5098])).
% 17.40/12.64 tff(36642,plain,
% 17.40/12.64 ((~(v111(constB197) <=> v26(constB197))) | (~v111(constB197)) | v26(constB197)),
% 17.40/12.64 inference(tautology,[status(thm)],[])).
% 17.40/12.64 tff(36643,plain,
% 17.40/12.64 ((~(v111(constB197) <=> v26(constB197))) | (~v111(constB197))),
% 17.40/12.64 inference(unit_resolution,[status(thm)],[36642, 36641])).
% 17.40/12.64 tff(36644,plain,
% 17.40/12.64 (~v111(constB197)),
% 17.40/12.64 inference(unit_resolution,[status(thm)],[36643, 36639])).
% 17.40/12.64 tff(36645,plain,
% 17.40/12.64 ((~((~v126(constB197)) <=> v111(constB197))) | v126(constB197) | v111(constB197)),
% 17.40/12.64 inference(tautology,[status(thm)],[])).
% 17.40/12.64 tff(36646,plain,
% 17.40/12.64 ((~((~v126(constB197)) <=> v111(constB197))) | v126(constB197)),
% 17.40/12.64 inference(unit_resolution,[status(thm)],[36645, 36644])).
% 17.40/12.64 tff(36647,plain,
% 17.40/12.64 (v126(constB197)),
% 17.40/12.64 inference(unit_resolution,[status(thm)],[36646, 36637])).
% 17.40/12.64 tff(36648,plain,
% 17.40/12.64 ((~((~v113(constB197)) | (~v126(constB197)))) | (~v113(constB197)) | (~v126(constB197))),
% 17.40/12.64 inference(tautology,[status(thm)],[])).
% 17.40/12.64 tff(36649,plain,
% 17.40/12.65 ((~((~v113(constB197)) | (~v126(constB197)))) | (~v113(constB197))),
% 17.40/12.65 inference(unit_resolution,[status(thm)],[36648, 36647])).
% 17.40/12.65 tff(36650,plain,
% 17.40/12.65 (~((~v113(constB197)) | (~v126(constB197)))),
% 17.40/12.65 inference(unit_resolution,[status(thm)],[36649, 36635])).
% 17.40/12.65 tff(36651,plain,
% 17.40/12.65 ((~(v112(constB197) <=> (~((~v113(constB197)) | (~v126(constB197)))))) | v112(constB197) | ((~v113(constB197)) | (~v126(constB197)))),
% 17.40/12.65 inference(tautology,[status(thm)],[])).
% 17.40/12.65 tff(36652,plain,
% 17.40/12.65 (v112(constB197)),
% 17.40/12.65 inference(unit_resolution,[status(thm)],[36651, 36650, 36307])).
% 17.40/12.65 tff(36653,plain,
% 17.40/12.65 ((v111(constB197) | v112(constB197)) | (~v112(constB197))),
% 17.40/12.65 inference(tautology,[status(thm)],[])).
% 17.40/12.65 tff(36654,plain,
% 17.40/12.65 (v111(constB197) | v112(constB197)),
% 17.40/12.65 inference(unit_resolution,[status(thm)],[36653, 36652])).
% 17.40/12.65 tff(36655,plain,
% 17.40/12.65 ((~(v108(constB197) <=> (v111(constB197) | v112(constB197)))) | v108(constB197) | (~(v111(constB197) | v112(constB197)))),
% 17.40/12.65 inference(tautology,[status(thm)],[])).
% 17.40/12.65 tff(36656,plain,
% 17.40/12.65 (v108(constB197)),
% 17.40/12.65 inference(unit_resolution,[status(thm)],[36655, 36654, 36305])).
% 17.40/12.65 tff(36657,plain,
% 17.40/12.65 ((~(v110(constB198) <=> v108(constB197))) | v110(constB198) | (~v108(constB197))),
% 17.40/12.65 inference(tautology,[status(thm)],[])).
% 17.40/12.65 tff(36658,plain,
% 17.40/12.65 (v110(constB198)),
% 17.40/12.65 inference(unit_resolution,[status(thm)],[36657, 36656, 36303])).
% 17.40/12.65 tff(36659,plain,
% 17.40/12.65 ((~((~v101(constB198)) | (~v110(constB198)))) | (~v101(constB198)) | (~v110(constB198))),
% 17.40/12.65 inference(tautology,[status(thm)],[])).
% 17.40/12.65 tff(36660,plain,
% 17.40/12.65 (~((~v101(constB198)) | (~v110(constB198)))),
% 17.40/12.65 inference(unit_resolution,[status(thm)],[36659, 36658, 36299])).
% 17.40/12.65 tff(36661,plain,
% 17.40/12.65 ((~(v100(constB198) <=> (~((~v101(constB198)) | (~v110(constB198)))))) | v100(constB198) | ((~v101(constB198)) | (~v110(constB198)))),
% 17.40/12.65 inference(tautology,[status(thm)],[])).
% 17.40/12.65 tff(36662,plain,
% 17.40/12.65 (v100(constB198)),
% 17.40/12.65 inference(unit_resolution,[status(thm)],[36661, 36660, 36268])).
% 17.40/12.65 tff(36663,plain,
% 17.40/12.65 (((~![VarNext: $i] : ((~v100(VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v129(VarNext, B))))) | ((~v100(constB198)) | ![B: $i] : ((~less_3(B)) | (v90(constB198, B) <=> v129(constB198, B))))) <=> ((~![VarNext: $i] : ((~v100(VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v129(VarNext, B))))) | (~v100(constB198)) | ![B: $i] : ((~less_3(B)) | (v90(constB198, B) <=> v129(constB198, B))))),
% 17.40/12.65 inference(rewrite,[status(thm)],[])).
% 17.40/12.65 tff(36664,plain,
% 17.40/12.65 ((~![VarNext: $i] : ((~v100(VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v129(VarNext, B))))) | ((~v100(constB198)) | ![B: $i] : ((~less_3(B)) | (v90(constB198, B) <=> v129(constB198, B))))),
% 17.40/12.65 inference(quant_inst,[status(thm)],[])).
% 17.40/12.65 tff(36665,plain,
% 17.40/12.65 ((~![VarNext: $i] : ((~v100(VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v129(VarNext, B))))) | (~v100(constB198)) | ![B: $i] : ((~less_3(B)) | (v90(constB198, B) <=> v129(constB198, B)))),
% 17.40/12.65 inference(modus_ponens,[status(thm)],[36664, 36663])).
% 17.40/12.65 tff(36666,plain,
% 17.40/12.65 ((~v100(constB198)) | ![B: $i] : ((~less_3(B)) | (v90(constB198, B) <=> v129(constB198, B)))),
% 17.40/12.65 inference(unit_resolution,[status(thm)],[36665, 5134])).
% 17.40/12.65 tff(36667,plain,
% 17.40/12.65 (![B: $i] : ((~less_3(B)) | (v90(constB198, B) <=> v129(constB198, B)))),
% 17.40/12.65 inference(unit_resolution,[status(thm)],[36666, 36662])).
% 17.40/12.65 tff(36668,plain,
% 17.40/12.65 (((~![B: $i] : ((~less_3(B)) | (v90(constB198, B) <=> v129(constB198, B)))) | ((~less_3(bitIndex2)) | (v90(constB198, bitIndex2) <=> v129(constB198, bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v90(constB198, B) <=> v129(constB198, B)))) | (~less_3(bitIndex2)) | (v90(constB198, bitIndex2) <=> v129(constB198, bitIndex2)))),
% 17.40/12.65 inference(rewrite,[status(thm)],[])).
% 17.40/12.65 tff(36669,plain,
% 17.40/12.65 ((~![B: $i] : ((~less_3(B)) | (v90(constB198, B) <=> v129(constB198, B)))) | ((~less_3(bitIndex2)) | (v90(constB198, bitIndex2) <=> v129(constB198, bitIndex2)))),
% 17.40/12.65 inference(quant_inst,[status(thm)],[])).
% 17.40/12.65 tff(36670,plain,
% 17.40/12.65 ((~![B: $i] : ((~less_3(B)) | (v90(constB198, B) <=> v129(constB198, B)))) | (~less_3(bitIndex2)) | (v90(constB198, bitIndex2) <=> v129(constB198, bitIndex2))),
% 17.40/12.65 inference(modus_ponens,[status(thm)],[36669, 36668])).
% 17.40/12.65 tff(36671,plain,
% 17.40/12.65 (v90(constB198, bitIndex2) <=> v129(constB198, bitIndex2)),
% 17.40/12.65 inference(unit_resolution,[status(thm)],[36670, 413, 36667])).
% 17.40/12.65 tff(36672,plain,
% 17.40/12.65 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v129(VarNext, B) <=> v127(VarCurr, B))))) | ((~nextState(constB197, constB198)) | ![B: $i] : ((~less_3(B)) | (v129(constB198, B) <=> v127(constB197, B))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v129(VarNext, B) <=> v127(VarCurr, B))))) | (~nextState(constB197, constB198)) | ![B: $i] : ((~less_3(B)) | (v129(constB198, B) <=> v127(constB197, B))))),
% 17.40/12.65 inference(rewrite,[status(thm)],[])).
% 17.40/12.65 tff(36673,plain,
% 17.40/12.65 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v129(VarNext, B) <=> v127(VarCurr, B))))) | ((~nextState(constB197, constB198)) | ![B: $i] : ((~less_3(B)) | (v129(constB198, B) <=> v127(constB197, B))))),
% 17.40/12.65 inference(quant_inst,[status(thm)],[])).
% 17.40/12.65 tff(36674,plain,
% 17.40/12.65 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v129(VarNext, B) <=> v127(VarCurr, B))))) | (~nextState(constB197, constB198)) | ![B: $i] : ((~less_3(B)) | (v129(constB198, B) <=> v127(constB197, B)))),
% 17.40/12.65 inference(modus_ponens,[status(thm)],[36673, 36672])).
% 17.40/12.65 tff(36675,plain,
% 17.40/12.65 (![B: $i] : ((~less_3(B)) | (v129(constB198, B) <=> v127(constB197, B)))),
% 17.40/12.65 inference(unit_resolution,[status(thm)],[36674, 36264, 5156])).
% 17.40/12.65 tff(36676,plain,
% 17.40/12.65 (((~![B: $i] : ((~less_3(B)) | (v129(constB198, B) <=> v127(constB197, B)))) | ((~less_3(bitIndex2)) | (v129(constB198, bitIndex2) <=> v127(constB197, bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v129(constB198, B) <=> v127(constB197, B)))) | (~less_3(bitIndex2)) | (v129(constB198, bitIndex2) <=> v127(constB197, bitIndex2)))),
% 17.40/12.65 inference(rewrite,[status(thm)],[])).
% 17.40/12.65 tff(36677,plain,
% 17.40/12.65 ((~![B: $i] : ((~less_3(B)) | (v129(constB198, B) <=> v127(constB197, B)))) | ((~less_3(bitIndex2)) | (v129(constB198, bitIndex2) <=> v127(constB197, bitIndex2)))),
% 17.40/12.65 inference(quant_inst,[status(thm)],[])).
% 17.40/12.65 tff(36678,plain,
% 17.40/12.65 ((~![B: $i] : ((~less_3(B)) | (v129(constB198, B) <=> v127(constB197, B)))) | (~less_3(bitIndex2)) | (v129(constB198, bitIndex2) <=> v127(constB197, bitIndex2))),
% 17.40/12.65 inference(modus_ponens,[status(thm)],[36677, 36676])).
% 17.40/12.65 tff(36679,plain,
% 17.40/12.65 (v129(constB198, bitIndex2) <=> v127(constB197, bitIndex2)),
% 17.40/12.65 inference(unit_resolution,[status(thm)],[36678, 413, 36675])).
% 17.40/12.65 tff(36680,plain,
% 17.40/12.65 (((~![VarCurr: $i] : (v111(VarCurr) | ![B: $i] : ((~less_3(B)) | (v127(VarCurr, B) <=> v130(VarCurr, B))))) | (v111(constB197) | ![B: $i] : ((~less_3(B)) | (v127(constB197, B) <=> v130(constB197, B))))) <=> ((~![VarCurr: $i] : (v111(VarCurr) | ![B: $i] : ((~less_3(B)) | (v127(VarCurr, B) <=> v130(VarCurr, B))))) | v111(constB197) | ![B: $i] : ((~less_3(B)) | (v127(constB197, B) <=> v130(constB197, B))))),
% 17.40/12.65 inference(rewrite,[status(thm)],[])).
% 17.40/12.65 tff(36681,plain,
% 17.40/12.65 ((~![VarCurr: $i] : (v111(VarCurr) | ![B: $i] : ((~less_3(B)) | (v127(VarCurr, B) <=> v130(VarCurr, B))))) | (v111(constB197) | ![B: $i] : ((~less_3(B)) | (v127(constB197, B) <=> v130(constB197, B))))),
% 17.40/12.65 inference(quant_inst,[status(thm)],[])).
% 17.40/12.65 tff(36682,plain,
% 17.40/12.65 ((~![VarCurr: $i] : (v111(VarCurr) | ![B: $i] : ((~less_3(B)) | (v127(VarCurr, B) <=> v130(VarCurr, B))))) | v111(constB197) | ![B: $i] : ((~less_3(B)) | (v127(constB197, B) <=> v130(constB197, B)))),
% 17.40/12.65 inference(modus_ponens,[status(thm)],[36681, 36680])).
% 17.40/12.65 tff(36683,plain,
% 17.40/12.65 (![B: $i] : ((~less_3(B)) | (v127(constB197, B) <=> v130(constB197, B)))),
% 17.40/12.65 inference(unit_resolution,[status(thm)],[36682, 5177, 36644])).
% 17.40/12.65 tff(36684,plain,
% 17.40/12.65 (((~![B: $i] : ((~less_3(B)) | (v127(constB197, B) <=> v130(constB197, B)))) | ((~less_3(bitIndex2)) | (v127(constB197, bitIndex2) <=> v130(constB197, bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v127(constB197, B) <=> v130(constB197, B)))) | (~less_3(bitIndex2)) | (v127(constB197, bitIndex2) <=> v130(constB197, bitIndex2)))),
% 17.40/12.65 inference(rewrite,[status(thm)],[])).
% 17.40/12.65 tff(36685,plain,
% 17.40/12.65 ((~![B: $i] : ((~less_3(B)) | (v127(constB197, B) <=> v130(constB197, B)))) | ((~less_3(bitIndex2)) | (v127(constB197, bitIndex2) <=> v130(constB197, bitIndex2)))),
% 17.40/12.65 inference(quant_inst,[status(thm)],[])).
% 17.40/12.65 tff(36686,plain,
% 17.40/12.65 ((~![B: $i] : ((~less_3(B)) | (v127(constB197, B) <=> v130(constB197, B)))) | (~less_3(bitIndex2)) | (v127(constB197, bitIndex2) <=> v130(constB197, bitIndex2))),
% 17.40/12.65 inference(modus_ponens,[status(thm)],[36685, 36684])).
% 17.40/12.65 tff(36687,plain,
% 17.40/12.65 (v127(constB197, bitIndex2) <=> v130(constB197, bitIndex2)),
% 17.40/12.65 inference(unit_resolution,[status(thm)],[36686, 413, 36683])).
% 17.40/12.65 tff(36688,plain,
% 17.40/12.65 (((~![VarCurr: $i] : ((~v120(VarCurr)) | ![B: $i] : ((~less_3(B)) | (v130(VarCurr, B) <=> b010(B))))) | ((~v120(constB197)) | ![B: $i] : ((~less_3(B)) | (v130(constB197, B) <=> b010(B))))) <=> ((~![VarCurr: $i] : ((~v120(VarCurr)) | ![B: $i] : ((~less_3(B)) | (v130(VarCurr, B) <=> b010(B))))) | (~v120(constB197)) | ![B: $i] : ((~less_3(B)) | (v130(constB197, B) <=> b010(B))))),
% 17.40/12.65 inference(rewrite,[status(thm)],[])).
% 17.40/12.65 tff(36689,plain,
% 17.40/12.65 ((~![VarCurr: $i] : ((~v120(VarCurr)) | ![B: $i] : ((~less_3(B)) | (v130(VarCurr, B) <=> b010(B))))) | ((~v120(constB197)) | ![B: $i] : ((~less_3(B)) | (v130(constB197, B) <=> b010(B))))),
% 17.40/12.65 inference(quant_inst,[status(thm)],[])).
% 17.40/12.65 tff(36690,plain,
% 17.40/12.65 ((~![VarCurr: $i] : ((~v120(VarCurr)) | ![B: $i] : ((~less_3(B)) | (v130(VarCurr, B) <=> b010(B))))) | (~v120(constB197)) | ![B: $i] : ((~less_3(B)) | (v130(constB197, B) <=> b010(B)))),
% 17.40/12.65 inference(modus_ponens,[status(thm)],[36689, 36688])).
% 17.40/12.65 tff(36691,plain,
% 17.40/12.65 ((~v120(constB197)) | ![B: $i] : ((~less_3(B)) | (v130(constB197, B) <=> b010(B)))),
% 17.40/12.65 inference(unit_resolution,[status(thm)],[36690, 5797])).
% 17.40/12.65 tff(36692,plain,
% 17.40/12.65 (![B: $i] : ((~less_3(B)) | (v130(constB197, B) <=> b010(B)))),
% 17.40/12.65 inference(unit_resolution,[status(thm)],[36691, 36611])).
% 17.40/12.65 tff(36693,plain,
% 17.40/12.65 (((~![B: $i] : ((~less_3(B)) | (v130(constB197, B) <=> b010(B)))) | ((~less_3(bitIndex2)) | (v130(constB197, bitIndex2) <=> b010(bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v130(constB197, B) <=> b010(B)))) | (~less_3(bitIndex2)) | (v130(constB197, bitIndex2) <=> b010(bitIndex2)))),
% 17.40/12.65 inference(rewrite,[status(thm)],[])).
% 17.40/12.65 tff(36694,plain,
% 17.40/12.65 ((~![B: $i] : ((~less_3(B)) | (v130(constB197, B) <=> b010(B)))) | ((~less_3(bitIndex2)) | (v130(constB197, bitIndex2) <=> b010(bitIndex2)))),
% 17.40/12.65 inference(quant_inst,[status(thm)],[])).
% 17.40/12.65 tff(36695,plain,
% 17.40/12.65 ((~![B: $i] : ((~less_3(B)) | (v130(constB197, B) <=> b010(B)))) | (~less_3(bitIndex2)) | (v130(constB197, bitIndex2) <=> b010(bitIndex2))),
% 17.40/12.65 inference(modus_ponens,[status(thm)],[36694, 36693])).
% 17.40/12.65 tff(36696,plain,
% 17.40/12.65 (v130(constB197, bitIndex2) <=> b010(bitIndex2)),
% 17.40/12.65 inference(unit_resolution,[status(thm)],[36695, 413, 36692])).
% 17.40/12.65 tff(36697,plain,
% 17.40/12.65 ((~(v130(constB197, bitIndex2) <=> b010(bitIndex2))) | (~v130(constB197, bitIndex2)) | b010(bitIndex2)),
% 17.40/12.65 inference(tautology,[status(thm)],[])).
% 17.40/12.65 tff(36698,plain,
% 17.40/12.65 ((~(v130(constB197, bitIndex2) <=> b010(bitIndex2))) | (~v130(constB197, bitIndex2))),
% 17.40/12.65 inference(unit_resolution,[status(thm)],[36697, 5809])).
% 17.40/12.65 tff(36699,plain,
% 17.40/12.65 (~v130(constB197, bitIndex2)),
% 17.40/12.65 inference(unit_resolution,[status(thm)],[36698, 36696])).
% 17.40/12.65 tff(36700,plain,
% 17.40/12.65 ((~(v127(constB197, bitIndex2) <=> v130(constB197, bitIndex2))) | (~v127(constB197, bitIndex2)) | v130(constB197, bitIndex2)),
% 17.40/12.65 inference(tautology,[status(thm)],[])).
% 17.40/12.65 tff(36701,plain,
% 17.40/12.65 (~v127(constB197, bitIndex2)),
% 17.40/12.65 inference(unit_resolution,[status(thm)],[36700, 36699, 36687])).
% 17.40/12.65 tff(36702,plain,
% 17.40/12.65 ((~(v129(constB198, bitIndex2) <=> v127(constB197, bitIndex2))) | (~v129(constB198, bitIndex2)) | v127(constB197, bitIndex2)),
% 17.40/12.65 inference(tautology,[status(thm)],[])).
% 17.40/12.65 tff(36703,plain,
% 17.40/12.65 (~v129(constB198, bitIndex2)),
% 17.40/12.65 inference(unit_resolution,[status(thm)],[36702, 36701, 36679])).
% 17.40/12.65 tff(36704,plain,
% 17.40/12.65 ((~(v90(constB198, bitIndex2) <=> v129(constB198, bitIndex2))) | (~v90(constB198, bitIndex2)) | v129(constB198, bitIndex2)),
% 17.40/12.65 inference(tautology,[status(thm)],[])).
% 17.40/12.65 tff(36705,plain,
% 17.40/12.65 (~v90(constB198, bitIndex2)),
% 17.40/12.65 inference(unit_resolution,[status(thm)],[36704, 36703, 36671])).
% 17.40/12.65 tff(36706,plain,
% 17.40/12.65 ((~(v90(constB199, bitIndex2) <=> v90(constB198, bitIndex2))) | (~v90(constB199, bitIndex2)) | v90(constB198, bitIndex2)),
% 17.40/12.65 inference(tautology,[status(thm)],[])).
% 17.40/12.65 tff(36707,plain,
% 17.40/12.65 (~v90(constB199, bitIndex2)),
% 17.40/12.65 inference(unit_resolution,[status(thm)],[36706, 36705, 36261])).
% 17.40/12.65 tff(36708,plain,
% 17.40/12.65 ((~(v88(constB199, bitIndex2) <=> v90(constB199, bitIndex2))) | (~v88(constB199, bitIndex2)) | v90(constB199, bitIndex2)),
% 17.40/12.65 inference(tautology,[status(thm)],[])).
% 17.40/12.65 tff(36709,plain,
% 17.40/12.65 (~v88(constB199, bitIndex2)),
% 17.40/12.65 inference(unit_resolution,[status(thm)],[36708, 36707, 36226])).
% 17.40/12.65 tff(36710,plain,
% 17.40/12.65 (((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | ((~less_3(bitIndex0)) | (v88(constB199, bitIndex0) <=> v90(constB199, bitIndex0)))) <=> ((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | (~less_3(bitIndex0)) | (v88(constB199, bitIndex0) <=> v90(constB199, bitIndex0)))),
% 17.40/12.65 inference(rewrite,[status(thm)],[])).
% 17.40/12.65 tff(36711,plain,
% 17.40/12.65 ((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | ((~less_3(bitIndex0)) | (v88(constB199, bitIndex0) <=> v90(constB199, bitIndex0)))),
% 17.40/12.65 inference(quant_inst,[status(thm)],[])).
% 17.40/12.65 tff(36712,plain,
% 17.40/12.65 ((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | (~less_3(bitIndex0)) | (v88(constB199, bitIndex0) <=> v90(constB199, bitIndex0))),
% 17.40/12.65 inference(modus_ponens,[status(thm)],[36711, 36710])).
% 17.40/12.65 tff(36713,plain,
% 17.40/12.65 (v88(constB199, bitIndex0) <=> v90(constB199, bitIndex0)),
% 17.40/12.65 inference(unit_resolution,[status(thm)],[36712, 5004, 410])).
% 17.40/12.65 tff(36714,plain,
% 17.40/12.65 (((~![B: $i] : ((~less_3(B)) | (v90(constB199, B) <=> v90(constB198, B)))) | ((~less_3(bitIndex0)) | (v90(constB199, bitIndex0) <=> v90(constB198, bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v90(constB199, B) <=> v90(constB198, B)))) | (~less_3(bitIndex0)) | (v90(constB199, bitIndex0) <=> v90(constB198, bitIndex0)))),
% 17.40/12.65 inference(rewrite,[status(thm)],[])).
% 17.40/12.65 tff(36715,plain,
% 17.40/12.65 ((~![B: $i] : ((~less_3(B)) | (v90(constB199, B) <=> v90(constB198, B)))) | ((~less_3(bitIndex0)) | (v90(constB199, bitIndex0) <=> v90(constB198, bitIndex0)))),
% 17.40/12.65 inference(quant_inst,[status(thm)],[])).
% 17.40/12.65 tff(36716,plain,
% 17.40/12.65 ((~![B: $i] : ((~less_3(B)) | (v90(constB199, B) <=> v90(constB198, B)))) | (~less_3(bitIndex0)) | (v90(constB199, bitIndex0) <=> v90(constB198, bitIndex0))),
% 17.40/12.65 inference(modus_ponens,[status(thm)],[36715, 36714])).
% 17.40/12.65 tff(36717,plain,
% 17.40/12.65 (v90(constB199, bitIndex0) <=> v90(constB198, bitIndex0)),
% 17.40/12.65 inference(unit_resolution,[status(thm)],[36716, 5004, 36257])).
% 17.40/12.65 tff(36718,plain,
% 17.40/12.65 (((~![B: $i] : ((~less_3(B)) | (v90(constB198, B) <=> v129(constB198, B)))) | ((~less_3(bitIndex0)) | (v90(constB198, bitIndex0) <=> v129(constB198, bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v90(constB198, B) <=> v129(constB198, B)))) | (~less_3(bitIndex0)) | (v90(constB198, bitIndex0) <=> v129(constB198, bitIndex0)))),
% 17.40/12.65 inference(rewrite,[status(thm)],[])).
% 17.40/12.65 tff(36719,plain,
% 17.40/12.65 ((~![B: $i] : ((~less_3(B)) | (v90(constB198, B) <=> v129(constB198, B)))) | ((~less_3(bitIndex0)) | (v90(constB198, bitIndex0) <=> v129(constB198, bitIndex0)))),
% 17.40/12.65 inference(quant_inst,[status(thm)],[])).
% 17.40/12.65 tff(36720,plain,
% 17.40/12.65 ((~![B: $i] : ((~less_3(B)) | (v90(constB198, B) <=> v129(constB198, B)))) | (~less_3(bitIndex0)) | (v90(constB198, bitIndex0) <=> v129(constB198, bitIndex0))),
% 17.40/12.65 inference(modus_ponens,[status(thm)],[36719, 36718])).
% 17.40/12.65 tff(36721,plain,
% 17.40/12.65 (v90(constB198, bitIndex0) <=> v129(constB198, bitIndex0)),
% 17.40/12.65 inference(unit_resolution,[status(thm)],[36720, 5004, 36667])).
% 17.40/12.65 tff(36722,plain,
% 17.40/12.65 (((~![B: $i] : ((~less_3(B)) | (v129(constB198, B) <=> v127(constB197, B)))) | ((~less_3(bitIndex0)) | (v129(constB198, bitIndex0) <=> v127(constB197, bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v129(constB198, B) <=> v127(constB197, B)))) | (~less_3(bitIndex0)) | (v129(constB198, bitIndex0) <=> v127(constB197, bitIndex0)))),
% 17.40/12.66 inference(rewrite,[status(thm)],[])).
% 17.40/12.66 tff(36723,plain,
% 17.40/12.66 ((~![B: $i] : ((~less_3(B)) | (v129(constB198, B) <=> v127(constB197, B)))) | ((~less_3(bitIndex0)) | (v129(constB198, bitIndex0) <=> v127(constB197, bitIndex0)))),
% 17.40/12.66 inference(quant_inst,[status(thm)],[])).
% 17.40/12.66 tff(36724,plain,
% 17.40/12.66 ((~![B: $i] : ((~less_3(B)) | (v129(constB198, B) <=> v127(constB197, B)))) | (~less_3(bitIndex0)) | (v129(constB198, bitIndex0) <=> v127(constB197, bitIndex0))),
% 17.40/12.66 inference(modus_ponens,[status(thm)],[36723, 36722])).
% 17.40/12.66 tff(36725,plain,
% 17.40/12.66 (v129(constB198, bitIndex0) <=> v127(constB197, bitIndex0)),
% 17.40/12.66 inference(unit_resolution,[status(thm)],[36724, 5004, 36675])).
% 17.40/12.66 tff(36726,plain,
% 17.40/12.66 (((~![B: $i] : ((~less_3(B)) | (v127(constB197, B) <=> v130(constB197, B)))) | ((~less_3(bitIndex0)) | (v127(constB197, bitIndex0) <=> v130(constB197, bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v127(constB197, B) <=> v130(constB197, B)))) | (~less_3(bitIndex0)) | (v127(constB197, bitIndex0) <=> v130(constB197, bitIndex0)))),
% 17.40/12.66 inference(rewrite,[status(thm)],[])).
% 17.40/12.66 tff(36727,plain,
% 17.40/12.66 ((~![B: $i] : ((~less_3(B)) | (v127(constB197, B) <=> v130(constB197, B)))) | ((~less_3(bitIndex0)) | (v127(constB197, bitIndex0) <=> v130(constB197, bitIndex0)))),
% 17.40/12.66 inference(quant_inst,[status(thm)],[])).
% 17.40/12.66 tff(36728,plain,
% 17.40/12.66 ((~![B: $i] : ((~less_3(B)) | (v127(constB197, B) <=> v130(constB197, B)))) | (~less_3(bitIndex0)) | (v127(constB197, bitIndex0) <=> v130(constB197, bitIndex0))),
% 17.40/12.66 inference(modus_ponens,[status(thm)],[36727, 36726])).
% 17.40/12.66 tff(36729,plain,
% 17.40/12.66 (v127(constB197, bitIndex0) <=> v130(constB197, bitIndex0)),
% 17.40/12.66 inference(unit_resolution,[status(thm)],[36728, 5004, 36683])).
% 17.40/12.66 tff(36730,plain,
% 17.40/12.66 (((~![B: $i] : ((~less_3(B)) | (v130(constB197, B) <=> b010(B)))) | ((~less_3(bitIndex0)) | (v130(constB197, bitIndex0) <=> b010(bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v130(constB197, B) <=> b010(B)))) | (~less_3(bitIndex0)) | (v130(constB197, bitIndex0) <=> b010(bitIndex0)))),
% 17.40/12.66 inference(rewrite,[status(thm)],[])).
% 17.40/12.66 tff(36731,plain,
% 17.40/12.66 ((~![B: $i] : ((~less_3(B)) | (v130(constB197, B) <=> b010(B)))) | ((~less_3(bitIndex0)) | (v130(constB197, bitIndex0) <=> b010(bitIndex0)))),
% 17.40/12.66 inference(quant_inst,[status(thm)],[])).
% 17.40/12.66 tff(36732,plain,
% 17.40/12.66 ((~![B: $i] : ((~less_3(B)) | (v130(constB197, B) <=> b010(B)))) | (~less_3(bitIndex0)) | (v130(constB197, bitIndex0) <=> b010(bitIndex0))),
% 17.40/12.66 inference(modus_ponens,[status(thm)],[36731, 36730])).
% 17.40/12.66 tff(36733,plain,
% 17.40/12.66 (v130(constB197, bitIndex0) <=> b010(bitIndex0)),
% 17.40/12.66 inference(unit_resolution,[status(thm)],[36732, 5004, 36692])).
% 17.40/12.66 tff(36734,plain,
% 17.40/12.66 ((~(v130(constB197, bitIndex0) <=> b010(bitIndex0))) | (~v130(constB197, bitIndex0)) | b010(bitIndex0)),
% 17.40/12.66 inference(tautology,[status(thm)],[])).
% 17.40/12.66 tff(36735,plain,
% 17.40/12.66 ((~(v130(constB197, bitIndex0) <=> b010(bitIndex0))) | (~v130(constB197, bitIndex0))),
% 17.40/12.66 inference(unit_resolution,[status(thm)],[36734, 5843])).
% 17.40/12.66 tff(36736,plain,
% 17.40/12.66 (~v130(constB197, bitIndex0)),
% 17.40/12.66 inference(unit_resolution,[status(thm)],[36735, 36733])).
% 17.40/12.66 tff(36737,plain,
% 17.40/12.66 ((~(v127(constB197, bitIndex0) <=> v130(constB197, bitIndex0))) | (~v127(constB197, bitIndex0)) | v130(constB197, bitIndex0)),
% 17.40/12.66 inference(tautology,[status(thm)],[])).
% 17.40/12.66 tff(36738,plain,
% 17.40/12.66 (~v127(constB197, bitIndex0)),
% 17.40/12.66 inference(unit_resolution,[status(thm)],[36737, 36736, 36729])).
% 17.40/12.66 tff(36739,plain,
% 17.40/12.66 ((~(v129(constB198, bitIndex0) <=> v127(constB197, bitIndex0))) | (~v129(constB198, bitIndex0)) | v127(constB197, bitIndex0)),
% 17.40/12.66 inference(tautology,[status(thm)],[])).
% 17.40/12.66 tff(36740,plain,
% 17.40/12.66 (~v129(constB198, bitIndex0)),
% 17.40/12.66 inference(unit_resolution,[status(thm)],[36739, 36738, 36725])).
% 17.40/12.66 tff(36741,plain,
% 17.40/12.66 ((~(v90(constB198, bitIndex0) <=> v129(constB198, bitIndex0))) | (~v90(constB198, bitIndex0)) | v129(constB198, bitIndex0)),
% 17.40/12.66 inference(tautology,[status(thm)],[])).
% 17.40/12.66 tff(36742,plain,
% 17.40/12.66 (~v90(constB198, bitIndex0)),
% 17.40/12.66 inference(unit_resolution,[status(thm)],[36741, 36740, 36721])).
% 17.40/12.66 tff(36743,plain,
% 17.40/12.66 ((~(v90(constB199, bitIndex0) <=> v90(constB198, bitIndex0))) | (~v90(constB199, bitIndex0)) | v90(constB198, bitIndex0)),
% 17.40/12.66 inference(tautology,[status(thm)],[])).
% 17.40/12.66 tff(36744,plain,
% 17.40/12.66 (~v90(constB199, bitIndex0)),
% 17.40/12.66 inference(unit_resolution,[status(thm)],[36743, 36742, 36717])).
% 17.40/12.66 tff(36745,plain,
% 17.40/12.66 ((~(v88(constB199, bitIndex0) <=> v90(constB199, bitIndex0))) | (~v88(constB199, bitIndex0)) | v90(constB199, bitIndex0)),
% 17.40/12.66 inference(tautology,[status(thm)],[])).
% 17.40/12.66 tff(36746,plain,
% 17.40/12.66 (~v88(constB199, bitIndex0)),
% 17.40/12.66 inference(unit_resolution,[status(thm)],[36745, 36744, 36713])).
% 17.40/12.66 tff(36747,plain,
% 17.40/12.66 (((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | ((~less_3(bitIndex1)) | (v88(constB199, bitIndex1) <=> v90(constB199, bitIndex1)))) <=> ((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | (~less_3(bitIndex1)) | (v88(constB199, bitIndex1) <=> v90(constB199, bitIndex1)))),
% 17.40/12.66 inference(rewrite,[status(thm)],[])).
% 17.40/12.66 tff(36748,plain,
% 17.40/12.66 ((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | ((~less_3(bitIndex1)) | (v88(constB199, bitIndex1) <=> v90(constB199, bitIndex1)))),
% 17.40/12.66 inference(quant_inst,[status(thm)],[])).
% 17.40/12.66 tff(36749,plain,
% 17.40/12.66 ((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | (~less_3(bitIndex1)) | (v88(constB199, bitIndex1) <=> v90(constB199, bitIndex1))),
% 17.40/12.66 inference(modus_ponens,[status(thm)],[36748, 36747])).
% 17.40/12.66 tff(36750,plain,
% 17.40/12.66 (v88(constB199, bitIndex1) <=> v90(constB199, bitIndex1)),
% 17.40/12.66 inference(unit_resolution,[status(thm)],[36749, 5017, 410])).
% 17.40/12.66 tff(36751,plain,
% 17.40/12.66 (((~![B: $i] : ((~less_3(B)) | (v90(constB199, B) <=> v90(constB198, B)))) | ((~less_3(bitIndex1)) | (v90(constB199, bitIndex1) <=> v90(constB198, bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v90(constB199, B) <=> v90(constB198, B)))) | (~less_3(bitIndex1)) | (v90(constB199, bitIndex1) <=> v90(constB198, bitIndex1)))),
% 17.40/12.66 inference(rewrite,[status(thm)],[])).
% 17.40/12.66 tff(36752,plain,
% 17.40/12.66 ((~![B: $i] : ((~less_3(B)) | (v90(constB199, B) <=> v90(constB198, B)))) | ((~less_3(bitIndex1)) | (v90(constB199, bitIndex1) <=> v90(constB198, bitIndex1)))),
% 17.40/12.66 inference(quant_inst,[status(thm)],[])).
% 17.40/12.66 tff(36753,plain,
% 17.40/12.66 ((~![B: $i] : ((~less_3(B)) | (v90(constB199, B) <=> v90(constB198, B)))) | (~less_3(bitIndex1)) | (v90(constB199, bitIndex1) <=> v90(constB198, bitIndex1))),
% 17.40/12.66 inference(modus_ponens,[status(thm)],[36752, 36751])).
% 17.40/12.66 tff(36754,plain,
% 17.40/12.66 (v90(constB199, bitIndex1) <=> v90(constB198, bitIndex1)),
% 17.40/12.66 inference(unit_resolution,[status(thm)],[36753, 5017, 36257])).
% 17.40/12.66 tff(36755,plain,
% 17.40/12.66 (((~![B: $i] : ((~less_3(B)) | (v90(constB198, B) <=> v129(constB198, B)))) | ((~less_3(bitIndex1)) | (v90(constB198, bitIndex1) <=> v129(constB198, bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v90(constB198, B) <=> v129(constB198, B)))) | (~less_3(bitIndex1)) | (v90(constB198, bitIndex1) <=> v129(constB198, bitIndex1)))),
% 17.40/12.66 inference(rewrite,[status(thm)],[])).
% 17.40/12.66 tff(36756,plain,
% 17.40/12.66 ((~![B: $i] : ((~less_3(B)) | (v90(constB198, B) <=> v129(constB198, B)))) | ((~less_3(bitIndex1)) | (v90(constB198, bitIndex1) <=> v129(constB198, bitIndex1)))),
% 17.40/12.66 inference(quant_inst,[status(thm)],[])).
% 17.40/12.66 tff(36757,plain,
% 17.40/12.66 ((~![B: $i] : ((~less_3(B)) | (v90(constB198, B) <=> v129(constB198, B)))) | (~less_3(bitIndex1)) | (v90(constB198, bitIndex1) <=> v129(constB198, bitIndex1))),
% 17.40/12.66 inference(modus_ponens,[status(thm)],[36756, 36755])).
% 17.40/12.66 tff(36758,plain,
% 17.40/12.66 (v90(constB198, bitIndex1) <=> v129(constB198, bitIndex1)),
% 17.40/12.66 inference(unit_resolution,[status(thm)],[36757, 5017, 36667])).
% 17.40/12.66 tff(36759,plain,
% 17.40/12.66 (((~![B: $i] : ((~less_3(B)) | (v129(constB198, B) <=> v127(constB197, B)))) | ((~less_3(bitIndex1)) | (v129(constB198, bitIndex1) <=> v127(constB197, bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v129(constB198, B) <=> v127(constB197, B)))) | (~less_3(bitIndex1)) | (v129(constB198, bitIndex1) <=> v127(constB197, bitIndex1)))),
% 17.40/12.66 inference(rewrite,[status(thm)],[])).
% 17.40/12.66 tff(36760,plain,
% 17.40/12.66 ((~![B: $i] : ((~less_3(B)) | (v129(constB198, B) <=> v127(constB197, B)))) | ((~less_3(bitIndex1)) | (v129(constB198, bitIndex1) <=> v127(constB197, bitIndex1)))),
% 17.40/12.66 inference(quant_inst,[status(thm)],[])).
% 17.40/12.66 tff(36761,plain,
% 17.40/12.66 ((~![B: $i] : ((~less_3(B)) | (v129(constB198, B) <=> v127(constB197, B)))) | (~less_3(bitIndex1)) | (v129(constB198, bitIndex1) <=> v127(constB197, bitIndex1))),
% 17.40/12.66 inference(modus_ponens,[status(thm)],[36760, 36759])).
% 17.40/12.66 tff(36762,plain,
% 17.40/12.66 (v129(constB198, bitIndex1) <=> v127(constB197, bitIndex1)),
% 17.40/12.66 inference(unit_resolution,[status(thm)],[36761, 5017, 36675])).
% 17.40/12.66 tff(36763,plain,
% 17.40/12.66 (((~![B: $i] : ((~less_3(B)) | (v127(constB197, B) <=> v130(constB197, B)))) | ((~less_3(bitIndex1)) | (v127(constB197, bitIndex1) <=> v130(constB197, bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v127(constB197, B) <=> v130(constB197, B)))) | (~less_3(bitIndex1)) | (v127(constB197, bitIndex1) <=> v130(constB197, bitIndex1)))),
% 17.40/12.66 inference(rewrite,[status(thm)],[])).
% 17.40/12.66 tff(36764,plain,
% 17.40/12.66 ((~![B: $i] : ((~less_3(B)) | (v127(constB197, B) <=> v130(constB197, B)))) | ((~less_3(bitIndex1)) | (v127(constB197, bitIndex1) <=> v130(constB197, bitIndex1)))),
% 17.40/12.66 inference(quant_inst,[status(thm)],[])).
% 17.40/12.66 tff(36765,plain,
% 17.40/12.66 ((~![B: $i] : ((~less_3(B)) | (v127(constB197, B) <=> v130(constB197, B)))) | (~less_3(bitIndex1)) | (v127(constB197, bitIndex1) <=> v130(constB197, bitIndex1))),
% 17.40/12.66 inference(modus_ponens,[status(thm)],[36764, 36763])).
% 17.40/12.66 tff(36766,plain,
% 17.40/12.66 (v127(constB197, bitIndex1) <=> v130(constB197, bitIndex1)),
% 17.40/12.66 inference(unit_resolution,[status(thm)],[36765, 5017, 36683])).
% 17.40/12.66 tff(36767,plain,
% 17.40/12.66 (((~![B: $i] : ((~less_3(B)) | (v130(constB197, B) <=> b010(B)))) | ((~less_3(bitIndex1)) | (v130(constB197, bitIndex1) <=> b010(bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v130(constB197, B) <=> b010(B)))) | (~less_3(bitIndex1)) | (v130(constB197, bitIndex1) <=> b010(bitIndex1)))),
% 17.40/12.66 inference(rewrite,[status(thm)],[])).
% 17.40/12.66 tff(36768,plain,
% 17.40/12.66 ((~![B: $i] : ((~less_3(B)) | (v130(constB197, B) <=> b010(B)))) | ((~less_3(bitIndex1)) | (v130(constB197, bitIndex1) <=> b010(bitIndex1)))),
% 17.40/12.66 inference(quant_inst,[status(thm)],[])).
% 17.40/12.66 tff(36769,plain,
% 17.40/12.66 ((~![B: $i] : ((~less_3(B)) | (v130(constB197, B) <=> b010(B)))) | (~less_3(bitIndex1)) | (v130(constB197, bitIndex1) <=> b010(bitIndex1))),
% 17.40/12.66 inference(modus_ponens,[status(thm)],[36768, 36767])).
% 17.40/12.66 tff(36770,plain,
% 17.40/12.66 (v130(constB197, bitIndex1) <=> b010(bitIndex1)),
% 17.40/12.66 inference(unit_resolution,[status(thm)],[36769, 5017, 36692])).
% 17.40/12.66 tff(36771,plain,
% 17.40/12.66 ((~(v130(constB197, bitIndex1) <=> b010(bitIndex1))) | v130(constB197, bitIndex1) | (~b010(bitIndex1))),
% 17.40/12.66 inference(tautology,[status(thm)],[])).
% 17.40/12.66 tff(36772,plain,
% 17.40/12.66 ((~(v130(constB197, bitIndex1) <=> b010(bitIndex1))) | v130(constB197, bitIndex1)),
% 17.40/12.66 inference(unit_resolution,[status(thm)],[36771, 5877])).
% 17.40/12.66 tff(36773,plain,
% 17.40/12.66 (v130(constB197, bitIndex1)),
% 17.40/12.66 inference(unit_resolution,[status(thm)],[36772, 36770])).
% 17.40/12.66 tff(36774,plain,
% 17.40/12.66 ((~(v127(constB197, bitIndex1) <=> v130(constB197, bitIndex1))) | v127(constB197, bitIndex1) | (~v130(constB197, bitIndex1))),
% 17.40/12.66 inference(tautology,[status(thm)],[])).
% 17.40/12.66 tff(36775,plain,
% 17.40/12.66 (v127(constB197, bitIndex1)),
% 17.40/12.66 inference(unit_resolution,[status(thm)],[36774, 36773, 36766])).
% 17.40/12.66 tff(36776,plain,
% 17.40/12.66 ((~(v129(constB198, bitIndex1) <=> v127(constB197, bitIndex1))) | v129(constB198, bitIndex1) | (~v127(constB197, bitIndex1))),
% 17.40/12.66 inference(tautology,[status(thm)],[])).
% 17.40/12.66 tff(36777,plain,
% 17.40/12.66 (v129(constB198, bitIndex1)),
% 17.40/12.66 inference(unit_resolution,[status(thm)],[36776, 36775, 36762])).
% 17.40/12.66 tff(36778,plain,
% 17.40/12.66 ((~(v90(constB198, bitIndex1) <=> v129(constB198, bitIndex1))) | v90(constB198, bitIndex1) | (~v129(constB198, bitIndex1))),
% 17.40/12.66 inference(tautology,[status(thm)],[])).
% 17.40/12.66 tff(36779,plain,
% 17.40/12.66 (v90(constB198, bitIndex1)),
% 17.40/12.66 inference(unit_resolution,[status(thm)],[36778, 36777, 36758])).
% 17.40/12.66 tff(36780,plain,
% 17.40/12.66 ((~(v90(constB199, bitIndex1) <=> v90(constB198, bitIndex1))) | v90(constB199, bitIndex1) | (~v90(constB198, bitIndex1))),
% 17.40/12.67 inference(tautology,[status(thm)],[])).
% 17.40/12.67 tff(36781,plain,
% 17.40/12.67 (v90(constB199, bitIndex1)),
% 17.40/12.67 inference(unit_resolution,[status(thm)],[36780, 36779, 36754])).
% 17.40/12.67 tff(36782,plain,
% 17.40/12.67 ((~(v88(constB199, bitIndex1) <=> v90(constB199, bitIndex1))) | v88(constB199, bitIndex1) | (~v90(constB199, bitIndex1))),
% 17.40/12.67 inference(tautology,[status(thm)],[])).
% 17.40/12.67 tff(36783,plain,
% 17.40/12.67 (v88(constB199, bitIndex1)),
% 17.40/12.67 inference(unit_resolution,[status(thm)],[36782, 36781, 36750])).
% 17.40/12.67 tff(36784,plain,
% 17.40/12.67 ((~(v88(constB199, bitIndex2) | (~v88(constB199, bitIndex1)) | v88(constB199, bitIndex0))) | v88(constB199, bitIndex2) | (~v88(constB199, bitIndex1)) | v88(constB199, bitIndex0)),
% 17.40/12.67 inference(tautology,[status(thm)],[])).
% 17.40/12.67 tff(36785,plain,
% 17.40/12.67 (~(v88(constB199, bitIndex2) | (~v88(constB199, bitIndex1)) | v88(constB199, bitIndex0))),
% 17.40/12.67 inference(unit_resolution,[status(thm)],[36784, 36783, 36746, 36709])).
% 17.40/12.67 tff(36786,plain,
% 17.40/12.67 ((~(v143(constB199) <=> (~(v88(constB199, bitIndex2) | (~v88(constB199, bitIndex1)) | v88(constB199, bitIndex0))))) | v143(constB199) | (v88(constB199, bitIndex2) | (~v88(constB199, bitIndex1)) | v88(constB199, bitIndex0))),
% 17.40/12.67 inference(tautology,[status(thm)],[])).
% 17.40/12.67 tff(36787,plain,
% 17.40/12.67 (v143(constB199)),
% 17.40/12.67 inference(unit_resolution,[status(thm)],[36786, 36785, 36222])).
% 17.40/12.67 tff(36788,plain,
% 17.40/12.67 ((v143(constB199) | v144(constB199)) | (~v143(constB199))),
% 17.40/12.67 inference(tautology,[status(thm)],[])).
% 17.40/12.67 tff(36789,plain,
% 17.40/12.67 (v143(constB199) | v144(constB199)),
% 17.40/12.67 inference(unit_resolution,[status(thm)],[36788, 36787])).
% 17.40/12.67 tff(36790,plain,
% 17.40/12.67 ((~(v142(constB199) <=> (v143(constB199) | v144(constB199)))) | v142(constB199) | (~(v143(constB199) | v144(constB199)))),
% 17.40/12.67 inference(tautology,[status(thm)],[])).
% 17.40/12.67 tff(36791,plain,
% 17.40/12.67 (v142(constB199)),
% 17.40/12.67 inference(unit_resolution,[status(thm)],[36790, 36789, 36215])).
% 17.40/12.67 tff(36792,plain,
% 17.40/12.67 (((~![VarCurr: $i] : (v148(VarCurr) | (~v142(VarCurr)))) | (v148(constB199) | (~v142(constB199)))) <=> ((~![VarCurr: $i] : (v148(VarCurr) | (~v142(VarCurr)))) | v148(constB199) | (~v142(constB199)))),
% 17.40/12.67 inference(rewrite,[status(thm)],[])).
% 17.40/12.67 tff(36793,plain,
% 17.40/12.67 ((~![VarCurr: $i] : (v148(VarCurr) | (~v142(VarCurr)))) | (v148(constB199) | (~v142(constB199)))),
% 17.40/12.67 inference(quant_inst,[status(thm)],[])).
% 17.40/12.67 tff(36794,plain,
% 17.40/12.67 ((~![VarCurr: $i] : (v148(VarCurr) | (~v142(VarCurr)))) | v148(constB199) | (~v142(constB199))),
% 17.40/12.67 inference(modus_ponens,[status(thm)],[36793, 36792])).
% 17.40/12.67 tff(36795,plain,
% 17.40/12.67 (v148(constB199) | (~v142(constB199))),
% 17.40/12.67 inference(unit_resolution,[status(thm)],[36794, 23525])).
% 17.40/12.67 tff(36796,plain,
% 17.40/12.67 (v148(constB199)),
% 17.40/12.67 inference(unit_resolution,[status(thm)],[36795, 36791])).
% 17.40/12.67 tff(36797,plain,
% 17.40/12.67 ((~![VarCurr: $i] : (v135(VarCurr) <=> (v136(VarCurr) | v145(VarCurr)))) | (v135(constB199) <=> (v136(constB199) | v145(constB199)))),
% 17.40/12.67 inference(quant_inst,[status(thm)],[])).
% 17.40/12.67 tff(36798,plain,
% 17.40/12.67 (v135(constB199) <=> (v136(constB199) | v145(constB199))),
% 17.40/12.67 inference(unit_resolution,[status(thm)],[36797, 23537])).
% 17.40/12.67 tff(36799,plain,
% 17.40/12.67 ((~![VarCurr: $i] : (v136(VarCurr) <=> (v137(VarCurr) | v142(VarCurr)))) | (v136(constB199) <=> (v137(constB199) | v142(constB199)))),
% 17.40/12.67 inference(quant_inst,[status(thm)],[])).
% 17.40/12.67 tff(36800,plain,
% 17.40/12.67 (v136(constB199) <=> (v137(constB199) | v142(constB199))),
% 17.40/12.67 inference(unit_resolution,[status(thm)],[36799, 23546])).
% 17.40/12.67 tff(36801,plain,
% 17.40/12.67 ((v137(constB199) | v142(constB199)) | (~v142(constB199))),
% 17.40/12.67 inference(tautology,[status(thm)],[])).
% 17.40/12.67 tff(36802,plain,
% 17.40/12.67 (v137(constB199) | v142(constB199)),
% 17.40/12.67 inference(unit_resolution,[status(thm)],[36801, 36791])).
% 17.40/12.67 tff(36803,plain,
% 17.40/12.67 ((~(v136(constB199) <=> (v137(constB199) | v142(constB199)))) | v136(constB199) | (~(v137(constB199) | v142(constB199)))),
% 17.40/12.67 inference(tautology,[status(thm)],[])).
% 17.40/12.67 tff(36804,plain,
% 17.40/12.67 (v136(constB199)),
% 17.40/12.67 inference(unit_resolution,[status(thm)],[36803, 36802, 36800])).
% 17.40/12.67 tff(36805,plain,
% 17.40/12.67 ((v136(constB199) | v145(constB199)) | (~v136(constB199))),
% 17.40/12.67 inference(tautology,[status(thm)],[])).
% 17.40/12.67 tff(36806,plain,
% 17.40/12.67 (v136(constB199) | v145(constB199)),
% 17.40/12.67 inference(unit_resolution,[status(thm)],[36805, 36804])).
% 17.40/12.67 tff(36807,plain,
% 17.40/12.67 ((~(v135(constB199) <=> (v136(constB199) | v145(constB199)))) | v135(constB199) | (~(v136(constB199) | v145(constB199)))),
% 17.40/12.67 inference(tautology,[status(thm)],[])).
% 17.40/12.67 tff(36808,plain,
% 17.40/12.67 (v135(constB199)),
% 17.40/12.67 inference(unit_resolution,[status(thm)],[36807, 36806, 36798])).
% 17.40/12.67 tff(36809,plain,
% 17.40/12.67 (((~![VarNext: $i] : ((~v135(VarNext)) | (v86(VarNext) <=> v148(VarNext)))) | ((~v135(constB199)) | (v86(constB199) <=> v148(constB199)))) <=> ((~![VarNext: $i] : ((~v135(VarNext)) | (v86(VarNext) <=> v148(VarNext)))) | (~v135(constB199)) | (v86(constB199) <=> v148(constB199)))),
% 17.40/12.67 inference(rewrite,[status(thm)],[])).
% 17.40/12.67 tff(36810,plain,
% 17.40/12.67 ((~![VarNext: $i] : ((~v135(VarNext)) | (v86(VarNext) <=> v148(VarNext)))) | ((~v135(constB199)) | (v86(constB199) <=> v148(constB199)))),
% 17.40/12.67 inference(quant_inst,[status(thm)],[])).
% 17.40/12.67 tff(36811,plain,
% 17.40/12.67 ((~![VarNext: $i] : ((~v135(VarNext)) | (v86(VarNext) <=> v148(VarNext)))) | (~v135(constB199)) | (v86(constB199) <=> v148(constB199))),
% 17.40/12.67 inference(modus_ponens,[status(thm)],[36810, 36809])).
% 17.40/12.67 tff(36812,plain,
% 17.40/12.67 ((~v135(constB199)) | (v86(constB199) <=> v148(constB199))),
% 17.40/12.67 inference(unit_resolution,[status(thm)],[36811, 23566])).
% 17.40/12.67 tff(36813,plain,
% 17.40/12.67 (v86(constB199) <=> v148(constB199)),
% 17.40/12.67 inference(unit_resolution,[status(thm)],[36812, 36808])).
% 17.40/12.67 tff(36814,plain,
% 17.40/12.67 ((~(v86(constB199) <=> v148(constB199))) | v86(constB199) | (~v148(constB199))),
% 17.40/12.67 inference(tautology,[status(thm)],[])).
% 17.40/12.67 tff(36815,plain,
% 17.40/12.67 (v86(constB199)),
% 17.40/12.67 inference(unit_resolution,[status(thm)],[36814, 36813, 36796])).
% 17.40/12.67 tff(36816,plain,
% 17.40/12.67 ($false),
% 17.40/12.67 inference(unit_resolution,[status(thm)],[36815, 36213])).
% 17.40/12.67 tff(36817,plain,(~(constB199 = VarCurr!0)), inference(lemma,lemma(discharge,[]))).
% 17.40/12.67 tff(36818,assumption,(constB3 = VarCurr!0), introduced(assumption)).
% 17.40/12.67 tff(36819,plain,
% 17.40/12.67 (v193(constB3) <=> v193(VarCurr!0)),
% 17.40/12.67 inference(monotonicity,[status(thm)],[36818])).
% 17.40/12.67 tff(36820,plain,
% 17.40/12.67 (v193(VarCurr!0) <=> v193(constB3)),
% 17.40/12.67 inference(symmetry,[status(thm)],[36819])).
% 17.40/12.67 tff(36821,plain,
% 17.40/12.67 (v193(constB3)),
% 17.40/12.67 inference(modus_ponens,[status(thm)],[59, 36820])).
% 17.40/12.67 tff(36822,plain,
% 17.40/12.67 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v193(VarNext) <=> v191(VarCurr)))) | ((~nextState(constB2, constB3)) | (v193(constB3) <=> v191(constB2)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v193(VarNext) <=> v191(VarCurr)))) | (~nextState(constB2, constB3)) | (v193(constB3) <=> v191(constB2)))),
% 17.40/12.67 inference(rewrite,[status(thm)],[])).
% 17.40/12.67 tff(36823,plain,
% 17.40/12.67 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v193(VarNext) <=> v191(VarCurr)))) | ((~nextState(constB2, constB3)) | (v193(constB3) <=> v191(constB2)))),
% 17.40/12.67 inference(quant_inst,[status(thm)],[])).
% 17.40/12.67 tff(36824,plain,
% 17.40/12.67 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v193(VarNext) <=> v191(VarCurr)))) | (~nextState(constB2, constB3)) | (v193(constB3) <=> v191(constB2))),
% 17.40/12.67 inference(modus_ponens,[status(thm)],[36823, 36822])).
% 17.40/12.67 tff(36825,plain,
% 17.40/12.67 (v193(constB3) <=> v191(constB2)),
% 17.40/12.67 inference(unit_resolution,[status(thm)],[36824, 4871, 70])).
% 17.40/12.67 tff(36826,plain,
% 17.40/12.67 ((~![VarCurr: $i] : (v191(VarCurr) <=> (v194(VarCurr) | v198(VarCurr)))) | (v191(constB2) <=> (v194(constB2) | v198(constB2)))),
% 17.40/12.67 inference(quant_inst,[status(thm)],[])).
% 17.40/12.67 tff(36827,plain,
% 17.40/12.67 (v191(constB2) <=> (v194(constB2) | v198(constB2))),
% 17.40/12.67 inference(unit_resolution,[status(thm)],[36826, 84])).
% 17.40/12.67 tff(36828,plain,
% 17.40/12.67 ((~![VarCurr: $i] : (v198(VarCurr) <=> (~((~v199(VarCurr)) | (~v200(VarCurr)))))) | (v198(constB2) <=> (~((~v199(constB2)) | (~v200(constB2)))))),
% 17.40/12.67 inference(quant_inst,[status(thm)],[])).
% 17.40/12.67 tff(36829,plain,
% 17.40/12.67 (v198(constB2) <=> (~((~v199(constB2)) | (~v200(constB2))))),
% 17.40/12.67 inference(unit_resolution,[status(thm)],[36828, 96])).
% 17.40/12.67 tff(36830,plain,
% 17.40/12.67 ((~![VarCurr: $i] : (v200(VarCurr) <=> (~((~v197(VarCurr)) | (~v201(VarCurr)))))) | (v200(constB2) <=> (~((~v197(constB2)) | (~v201(constB2)))))),
% 17.40/12.67 inference(quant_inst,[status(thm)],[])).
% 17.40/12.67 tff(36831,plain,
% 17.40/12.67 (v200(constB2) <=> (~((~v197(constB2)) | (~v201(constB2))))),
% 17.40/12.67 inference(unit_resolution,[status(thm)],[36830, 108])).
% 17.40/12.67 tff(36832,plain,
% 17.40/12.67 ((~![VarCurr: $i] : (v197(VarCurr) <=> (~((~v39(VarCurr)) | (~v9(VarCurr)))))) | (v197(constB2) <=> (~((~v39(constB2)) | (~v9(constB2)))))),
% 17.40/12.67 inference(quant_inst,[status(thm)],[])).
% 17.40/12.67 tff(36833,plain,
% 17.40/12.67 (v197(constB2) <=> (~((~v39(constB2)) | (~v9(constB2))))),
% 17.40/12.67 inference(unit_resolution,[status(thm)],[36832, 120])).
% 17.40/12.67 tff(36834,plain,
% 17.40/12.67 ((~![VarCurr: $i] : ((~v39(VarCurr)) <=> v1(VarCurr))) | ((~v39(constB2)) <=> v1(constB2))),
% 17.40/12.67 inference(quant_inst,[status(thm)],[])).
% 17.40/12.67 tff(36835,plain,
% 17.40/12.67 ((~v39(constB2)) <=> v1(constB2)),
% 17.40/12.67 inference(unit_resolution,[status(thm)],[36834, 129])).
% 17.40/12.67 tff(36836,plain,
% 17.40/12.67 ((~((~v39(constB2)) <=> v1(constB2))) | (~v39(constB2)) | (~v1(constB2))),
% 17.40/12.67 inference(tautology,[status(thm)],[])).
% 17.40/12.67 tff(36837,plain,
% 17.40/12.67 ((~((~v39(constB2)) <=> v1(constB2))) | (~v39(constB2))),
% 17.40/12.67 inference(unit_resolution,[status(thm)],[36836, 4933])).
% 17.40/12.67 tff(36838,plain,
% 17.40/12.67 (~v39(constB2)),
% 17.40/12.67 inference(unit_resolution,[status(thm)],[36837, 36835])).
% 17.40/12.67 tff(36839,plain,
% 17.40/12.67 (((~v39(constB2)) | (~v9(constB2))) | v39(constB2)),
% 17.40/12.67 inference(tautology,[status(thm)],[])).
% 17.40/12.67 tff(36840,plain,
% 17.40/12.67 ((~v39(constB2)) | (~v9(constB2))),
% 17.40/12.67 inference(unit_resolution,[status(thm)],[36839, 36838])).
% 17.40/12.67 tff(36841,plain,
% 17.40/12.67 ((~(v197(constB2) <=> (~((~v39(constB2)) | (~v9(constB2)))))) | (~v197(constB2)) | (~((~v39(constB2)) | (~v9(constB2))))),
% 17.40/12.67 inference(tautology,[status(thm)],[])).
% 17.40/12.67 tff(36842,plain,
% 17.40/12.67 ((~(v197(constB2) <=> (~((~v39(constB2)) | (~v9(constB2)))))) | (~v197(constB2))),
% 17.40/12.67 inference(unit_resolution,[status(thm)],[36841, 36840])).
% 17.40/12.67 tff(36843,plain,
% 17.40/12.67 (~v197(constB2)),
% 17.40/12.67 inference(unit_resolution,[status(thm)],[36842, 36833])).
% 17.40/12.67 tff(36844,plain,
% 17.40/12.67 (((~v197(constB2)) | (~v201(constB2))) | v197(constB2)),
% 17.40/12.67 inference(tautology,[status(thm)],[])).
% 17.40/12.67 tff(36845,plain,
% 17.40/12.67 ((~v197(constB2)) | (~v201(constB2))),
% 17.40/12.67 inference(unit_resolution,[status(thm)],[36844, 36843])).
% 17.40/12.67 tff(36846,plain,
% 17.40/12.67 ((~(v200(constB2) <=> (~((~v197(constB2)) | (~v201(constB2)))))) | (~v200(constB2)) | (~((~v197(constB2)) | (~v201(constB2))))),
% 17.40/12.67 inference(tautology,[status(thm)],[])).
% 17.40/12.67 tff(36847,plain,
% 17.40/12.67 ((~(v200(constB2) <=> (~((~v197(constB2)) | (~v201(constB2)))))) | (~v200(constB2))),
% 17.40/12.67 inference(unit_resolution,[status(thm)],[36846, 36845])).
% 17.40/12.67 tff(36848,plain,
% 17.40/12.67 (~v200(constB2)),
% 17.40/12.67 inference(unit_resolution,[status(thm)],[36847, 36831])).
% 17.40/12.67 tff(36849,plain,
% 17.40/12.67 (((~v199(constB2)) | (~v200(constB2))) | v200(constB2)),
% 17.40/12.67 inference(tautology,[status(thm)],[])).
% 17.40/12.67 tff(36850,plain,
% 17.40/12.67 ((~v199(constB2)) | (~v200(constB2))),
% 17.40/12.67 inference(unit_resolution,[status(thm)],[36849, 36848])).
% 17.40/12.67 tff(36851,plain,
% 17.40/12.67 ((~(v198(constB2) <=> (~((~v199(constB2)) | (~v200(constB2)))))) | (~v198(constB2)) | (~((~v199(constB2)) | (~v200(constB2))))),
% 17.40/12.67 inference(tautology,[status(thm)],[])).
% 17.40/12.67 tff(36852,plain,
% 17.40/12.67 (~v198(constB2)),
% 17.40/12.67 inference(unit_resolution,[status(thm)],[36851, 36850, 36829])).
% 17.40/12.67 tff(36853,plain,
% 17.40/12.67 (((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB2) <=> (~((~v157(constB2)) | (~v195(constB2)))))) <=> ((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB2) <=> (~((~v157(constB2)) | (~v195(constB2))))))),
% 17.40/12.67 inference(rewrite,[status(thm)],[])).
% 17.40/12.67 tff(36854,plain,
% 17.40/12.67 ((v194(constB2) <=> (~((~v195(constB2)) | (~v157(constB2))))) <=> (v194(constB2) <=> (~((~v157(constB2)) | (~v195(constB2)))))),
% 17.40/12.67 inference(rewrite,[status(thm)],[])).
% 17.40/12.67 tff(36855,plain,
% 17.40/12.67 (((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB2) <=> (~((~v195(constB2)) | (~v157(constB2)))))) <=> ((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB2) <=> (~((~v157(constB2)) | (~v195(constB2))))))),
% 17.40/12.67 inference(monotonicity,[status(thm)],[36854])).
% 17.40/12.67 tff(36856,plain,
% 17.40/12.67 (((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB2) <=> (~((~v195(constB2)) | (~v157(constB2)))))) <=> ((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB2) <=> (~((~v157(constB2)) | (~v195(constB2))))))),
% 17.40/12.67 inference(transitivity,[status(thm)],[36855, 36853])).
% 17.40/12.67 tff(36857,plain,
% 17.40/12.67 ((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB2) <=> (~((~v195(constB2)) | (~v157(constB2)))))),
% 17.40/12.67 inference(quant_inst,[status(thm)],[])).
% 17.40/12.67 tff(36858,plain,
% 17.40/12.67 ((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB2) <=> (~((~v157(constB2)) | (~v195(constB2)))))),
% 17.40/12.67 inference(modus_ponens,[status(thm)],[36857, 36856])).
% 17.40/12.67 tff(36859,plain,
% 17.40/12.67 (v194(constB2) <=> (~((~v157(constB2)) | (~v195(constB2))))),
% 17.40/12.67 inference(unit_resolution,[status(thm)],[36858, 161])).
% 17.40/12.67 tff(36860,plain,
% 17.40/12.67 ((~![VarNext: $i] : (v157(VarNext) <=> v193(VarNext))) | (v157(constB2) <=> v193(constB2))),
% 17.40/12.67 inference(quant_inst,[status(thm)],[])).
% 17.40/12.67 tff(36861,plain,
% 17.40/12.67 (v157(constB2) <=> v193(constB2)),
% 17.40/12.67 inference(unit_resolution,[status(thm)],[36860, 13])).
% 17.40/12.67 tff(36862,plain,
% 17.40/12.67 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v193(VarNext) <=> v191(VarCurr)))) | ((~nextState(constB1, constB2)) | (v193(constB2) <=> v191(constB1)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v193(VarNext) <=> v191(VarCurr)))) | (~nextState(constB1, constB2)) | (v193(constB2) <=> v191(constB1)))),
% 17.40/12.67 inference(rewrite,[status(thm)],[])).
% 17.40/12.67 tff(36863,plain,
% 17.40/12.67 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v193(VarNext) <=> v191(VarCurr)))) | ((~nextState(constB1, constB2)) | (v193(constB2) <=> v191(constB1)))),
% 17.40/12.67 inference(quant_inst,[status(thm)],[])).
% 17.40/12.67 tff(36864,plain,
% 17.40/12.67 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v193(VarNext) <=> v191(VarCurr)))) | (~nextState(constB1, constB2)) | (v193(constB2) <=> v191(constB1))),
% 17.40/12.67 inference(modus_ponens,[status(thm)],[36863, 36862])).
% 17.40/12.67 tff(36865,plain,
% 17.40/12.67 (v193(constB2) <=> v191(constB1)),
% 17.40/12.67 inference(unit_resolution,[status(thm)],[36864, 4903, 70])).
% 17.40/12.67 tff(36866,plain,
% 17.40/12.67 ((~![VarCurr: $i] : (v191(VarCurr) <=> (v194(VarCurr) | v198(VarCurr)))) | (v191(constB1) <=> (v194(constB1) | v198(constB1)))),
% 17.40/12.67 inference(quant_inst,[status(thm)],[])).
% 17.40/12.67 tff(36867,plain,
% 17.40/12.67 (v191(constB1) <=> (v194(constB1) | v198(constB1))),
% 17.40/12.67 inference(unit_resolution,[status(thm)],[36866, 84])).
% 17.40/12.67 tff(36868,plain,
% 17.40/12.67 ((~![VarCurr: $i] : (v198(VarCurr) <=> (~((~v199(VarCurr)) | (~v200(VarCurr)))))) | (v198(constB1) <=> (~((~v199(constB1)) | (~v200(constB1)))))),
% 17.40/12.67 inference(quant_inst,[status(thm)],[])).
% 17.40/12.67 tff(36869,plain,
% 17.40/12.67 (v198(constB1) <=> (~((~v199(constB1)) | (~v200(constB1))))),
% 17.40/12.67 inference(unit_resolution,[status(thm)],[36868, 96])).
% 17.40/12.67 tff(36870,plain,
% 17.40/12.67 ((~![VarCurr: $i] : (v200(VarCurr) <=> (~((~v197(VarCurr)) | (~v201(VarCurr)))))) | (v200(constB1) <=> (~((~v197(constB1)) | (~v201(constB1)))))),
% 17.40/12.67 inference(quant_inst,[status(thm)],[])).
% 17.40/12.67 tff(36871,plain,
% 17.40/12.67 (v200(constB1) <=> (~((~v197(constB1)) | (~v201(constB1))))),
% 17.40/12.67 inference(unit_resolution,[status(thm)],[36870, 108])).
% 17.40/12.67 tff(36872,plain,
% 17.40/12.67 ((~![VarCurr: $i] : (v201(VarCurr) <=> (~((~v159(VarCurr)) | (~v161(VarCurr)))))) | (v201(constB1) <=> (~((~v159(constB1)) | (~v161(constB1)))))),
% 17.40/12.67 inference(quant_inst,[status(thm)],[])).
% 17.40/12.67 tff(36873,plain,
% 17.40/12.67 (v201(constB1) <=> (~((~v159(constB1)) | (~v161(constB1))))),
% 17.40/12.67 inference(unit_resolution,[status(thm)],[36872, 348])).
% 17.40/12.67 tff(36874,plain,
% 17.40/12.67 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v179(VarNext) <=> v180(VarNext)))) | ((~nextState(constB0, constB1)) | (v179(constB1) <=> v180(constB1)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v179(VarNext) <=> v180(VarNext)))) | (~nextState(constB0, constB1)) | (v179(constB1) <=> v180(constB1)))),
% 17.40/12.67 inference(rewrite,[status(thm)],[])).
% 17.40/12.67 tff(36875,plain,
% 17.40/12.68 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v179(VarNext) <=> v180(VarNext)))) | ((~nextState(constB0, constB1)) | (v179(constB1) <=> v180(constB1)))),
% 17.40/12.68 inference(quant_inst,[status(thm)],[])).
% 17.40/12.68 tff(36876,plain,
% 17.40/12.68 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v179(VarNext) <=> v180(VarNext)))) | (~nextState(constB0, constB1)) | (v179(constB1) <=> v180(constB1))),
% 17.40/12.68 inference(modus_ponens,[status(thm)],[36875, 36874])).
% 17.40/12.68 tff(36877,plain,
% 17.40/12.68 (v179(constB1) <=> v180(constB1)),
% 17.40/12.68 inference(unit_resolution,[status(thm)],[36876, 4976, 13536])).
% 17.40/12.68 tff(36878,plain,
% 17.40/12.68 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> (~((~v181(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB0, constB1)) | (v180(constB1) <=> (~((~v1(constB1)) | (~v181(constB1))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> (~((~v181(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB0, constB1)) | (v180(constB1) <=> (~((~v1(constB1)) | (~v181(constB1))))))),
% 17.40/12.68 inference(rewrite,[status(thm)],[])).
% 17.40/12.68 tff(36879,plain,
% 17.40/12.68 (((~nextState(constB0, constB1)) | (v180(constB1) <=> (~((~v181(constB1)) | (~v1(constB1)))))) <=> ((~nextState(constB0, constB1)) | (v180(constB1) <=> (~((~v1(constB1)) | (~v181(constB1))))))),
% 17.40/12.68 inference(rewrite,[status(thm)],[])).
% 17.40/12.68 tff(36880,plain,
% 17.40/12.68 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> (~((~v181(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB0, constB1)) | (v180(constB1) <=> (~((~v181(constB1)) | (~v1(constB1))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> (~((~v181(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB0, constB1)) | (v180(constB1) <=> (~((~v1(constB1)) | (~v181(constB1)))))))),
% 17.40/12.68 inference(monotonicity,[status(thm)],[36879])).
% 17.40/12.68 tff(36881,plain,
% 17.40/12.68 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> (~((~v181(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB0, constB1)) | (v180(constB1) <=> (~((~v181(constB1)) | (~v1(constB1))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> (~((~v181(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB0, constB1)) | (v180(constB1) <=> (~((~v1(constB1)) | (~v181(constB1))))))),
% 17.40/12.68 inference(transitivity,[status(thm)],[36880, 36878])).
% 17.40/12.68 tff(36882,plain,
% 17.40/12.68 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> (~((~v181(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB0, constB1)) | (v180(constB1) <=> (~((~v181(constB1)) | (~v1(constB1))))))),
% 17.40/12.68 inference(quant_inst,[status(thm)],[])).
% 17.40/12.68 tff(36883,plain,
% 17.40/12.68 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> (~((~v181(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB0, constB1)) | (v180(constB1) <=> (~((~v1(constB1)) | (~v181(constB1)))))),
% 17.40/12.68 inference(modus_ponens,[status(thm)],[36882, 36881])).
% 17.40/12.68 tff(36884,plain,
% 17.40/12.68 (v180(constB1) <=> (~((~v1(constB1)) | (~v181(constB1))))),
% 17.40/12.68 inference(unit_resolution,[status(thm)],[36883, 4976, 13556])).
% 17.40/12.68 tff(36885,plain,
% 17.40/12.68 (((~v1(constB1)) | (~v181(constB1))) | v1(constB1)),
% 17.40/12.68 inference(tautology,[status(thm)],[])).
% 17.40/12.68 tff(36886,plain,
% 17.40/12.68 ((~v1(constB1)) | (~v181(constB1))),
% 17.40/12.68 inference(unit_resolution,[status(thm)],[36885, 4925])).
% 17.40/12.68 tff(36887,plain,
% 17.40/12.68 ((~(v180(constB1) <=> (~((~v1(constB1)) | (~v181(constB1)))))) | (~v180(constB1)) | (~((~v1(constB1)) | (~v181(constB1))))),
% 17.40/12.68 inference(tautology,[status(thm)],[])).
% 17.40/12.68 tff(36888,plain,
% 17.40/12.68 ((~(v180(constB1) <=> (~((~v1(constB1)) | (~v181(constB1)))))) | (~v180(constB1))),
% 17.40/12.68 inference(unit_resolution,[status(thm)],[36887, 36886])).
% 17.40/12.68 tff(36889,plain,
% 17.40/12.68 (~v180(constB1)),
% 17.40/12.68 inference(unit_resolution,[status(thm)],[36888, 36884])).
% 17.40/12.68 tff(36890,plain,
% 17.40/12.68 ((~(v179(constB1) <=> v180(constB1))) | (~v179(constB1)) | v180(constB1)),
% 17.40/12.68 inference(tautology,[status(thm)],[])).
% 17.40/12.68 tff(36891,plain,
% 17.40/12.68 (~v179(constB1)),
% 17.40/12.68 inference(unit_resolution,[status(thm)],[36890, 36889, 36877])).
% 17.40/12.68 tff(36892,plain,
% 17.40/12.68 (((~![VarCurr: $i, VarNext: $i] : ((v159(VarNext) <=> v159(VarCurr)) | v179(VarNext) | (~nextState(VarCurr, VarNext)))) | ((~nextState(constB0, constB1)) | v179(constB1) | (v159(constB1) <=> v159(constB0)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((v159(VarNext) <=> v159(VarCurr)) | v179(VarNext) | (~nextState(VarCurr, VarNext)))) | (~nextState(constB0, constB1)) | v179(constB1) | (v159(constB1) <=> v159(constB0)))),
% 17.40/12.68 inference(rewrite,[status(thm)],[])).
% 17.40/12.68 tff(36893,plain,
% 17.40/12.68 (((v159(constB1) <=> v159(constB0)) | v179(constB1) | (~nextState(constB0, constB1))) <=> ((~nextState(constB0, constB1)) | v179(constB1) | (v159(constB1) <=> v159(constB0)))),
% 17.40/12.68 inference(rewrite,[status(thm)],[])).
% 17.40/12.68 tff(36894,plain,
% 17.40/12.68 (((~![VarCurr: $i, VarNext: $i] : ((v159(VarNext) <=> v159(VarCurr)) | v179(VarNext) | (~nextState(VarCurr, VarNext)))) | ((v159(constB1) <=> v159(constB0)) | v179(constB1) | (~nextState(constB0, constB1)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((v159(VarNext) <=> v159(VarCurr)) | v179(VarNext) | (~nextState(VarCurr, VarNext)))) | ((~nextState(constB0, constB1)) | v179(constB1) | (v159(constB1) <=> v159(constB0))))),
% 17.40/12.68 inference(monotonicity,[status(thm)],[36893])).
% 17.40/12.68 tff(36895,plain,
% 17.40/12.68 (((~![VarCurr: $i, VarNext: $i] : ((v159(VarNext) <=> v159(VarCurr)) | v179(VarNext) | (~nextState(VarCurr, VarNext)))) | ((v159(constB1) <=> v159(constB0)) | v179(constB1) | (~nextState(constB0, constB1)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((v159(VarNext) <=> v159(VarCurr)) | v179(VarNext) | (~nextState(VarCurr, VarNext)))) | (~nextState(constB0, constB1)) | v179(constB1) | (v159(constB1) <=> v159(constB0)))),
% 17.40/12.68 inference(transitivity,[status(thm)],[36894, 36892])).
% 17.40/12.68 tff(36896,plain,
% 17.40/12.68 ((~![VarCurr: $i, VarNext: $i] : ((v159(VarNext) <=> v159(VarCurr)) | v179(VarNext) | (~nextState(VarCurr, VarNext)))) | ((v159(constB1) <=> v159(constB0)) | v179(constB1) | (~nextState(constB0, constB1)))),
% 17.40/12.68 inference(quant_inst,[status(thm)],[])).
% 17.40/12.68 tff(36897,plain,
% 17.40/12.68 ((~![VarCurr: $i, VarNext: $i] : ((v159(VarNext) <=> v159(VarCurr)) | v179(VarNext) | (~nextState(VarCurr, VarNext)))) | (~nextState(constB0, constB1)) | v179(constB1) | (v159(constB1) <=> v159(constB0))),
% 17.40/12.68 inference(modus_ponens,[status(thm)],[36896, 36895])).
% 17.40/12.68 tff(36898,plain,
% 17.40/12.68 (v179(constB1) | (v159(constB1) <=> v159(constB0))),
% 17.40/12.68 inference(unit_resolution,[status(thm)],[36897, 4976, 13580])).
% 17.40/12.68 tff(36899,plain,
% 17.40/12.68 (v159(constB1) <=> v159(constB0)),
% 17.40/12.68 inference(unit_resolution,[status(thm)],[36898, 36891])).
% 17.40/12.68 tff(36900,plain,
% 17.40/12.68 ((~v159(constB0)) <=> (~v159(constB0))),
% 17.40/12.68 inference(rewrite,[status(thm)],[])).
% 17.40/12.68 tff(36901,axiom,(~v159(constB0)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','addAssignmentInitValue_7')).
% 17.40/12.68 tff(36902,plain,
% 17.40/12.68 (~v159(constB0)),
% 17.40/12.68 inference(modus_ponens,[status(thm)],[36901, 36900])).
% 17.40/12.68 tff(36903,plain,
% 17.40/12.68 ((~(v159(constB1) <=> v159(constB0))) | (~v159(constB1)) | v159(constB0)),
% 17.40/12.68 inference(tautology,[status(thm)],[])).
% 17.40/12.68 tff(36904,plain,
% 17.40/12.68 ((~(v159(constB1) <=> v159(constB0))) | (~v159(constB1))),
% 17.40/12.68 inference(unit_resolution,[status(thm)],[36903, 36902])).
% 17.40/12.68 tff(36905,plain,
% 17.40/12.68 (~v159(constB1)),
% 17.40/12.68 inference(unit_resolution,[status(thm)],[36904, 36899])).
% 17.40/12.68 tff(36906,plain,
% 17.40/12.68 (((~v159(constB1)) | (~v161(constB1))) | v159(constB1)),
% 17.40/12.68 inference(tautology,[status(thm)],[])).
% 17.40/12.68 tff(36907,plain,
% 17.40/12.68 ((~v159(constB1)) | (~v161(constB1))),
% 17.40/12.68 inference(unit_resolution,[status(thm)],[36906, 36905])).
% 17.40/12.68 tff(36908,plain,
% 17.40/12.68 ((~(v201(constB1) <=> (~((~v159(constB1)) | (~v161(constB1)))))) | (~v201(constB1)) | (~((~v159(constB1)) | (~v161(constB1))))),
% 17.40/12.68 inference(tautology,[status(thm)],[])).
% 17.40/12.68 tff(36909,plain,
% 17.40/12.68 ((~(v201(constB1) <=> (~((~v159(constB1)) | (~v161(constB1)))))) | (~v201(constB1))),
% 17.40/12.68 inference(unit_resolution,[status(thm)],[36908, 36907])).
% 17.40/12.68 tff(36910,plain,
% 17.40/12.68 (~v201(constB1)),
% 17.40/12.68 inference(unit_resolution,[status(thm)],[36909, 36873])).
% 17.40/12.68 tff(36911,plain,
% 17.40/12.68 (((~v197(constB1)) | (~v201(constB1))) | v201(constB1)),
% 17.40/12.68 inference(tautology,[status(thm)],[])).
% 17.40/12.68 tff(36912,plain,
% 17.40/12.68 ((~v197(constB1)) | (~v201(constB1))),
% 17.40/12.68 inference(unit_resolution,[status(thm)],[36911, 36910])).
% 17.40/12.68 tff(36913,plain,
% 17.40/12.68 ((~(v200(constB1) <=> (~((~v197(constB1)) | (~v201(constB1)))))) | (~v200(constB1)) | (~((~v197(constB1)) | (~v201(constB1))))),
% 17.40/12.68 inference(tautology,[status(thm)],[])).
% 17.40/12.68 tff(36914,plain,
% 17.40/12.68 ((~(v200(constB1) <=> (~((~v197(constB1)) | (~v201(constB1)))))) | (~v200(constB1))),
% 17.40/12.68 inference(unit_resolution,[status(thm)],[36913, 36912])).
% 17.40/12.68 tff(36915,plain,
% 17.40/12.68 (~v200(constB1)),
% 17.40/12.68 inference(unit_resolution,[status(thm)],[36914, 36871])).
% 17.40/12.68 tff(36916,plain,
% 17.40/12.68 (((~v199(constB1)) | (~v200(constB1))) | v200(constB1)),
% 17.40/12.68 inference(tautology,[status(thm)],[])).
% 17.40/12.68 tff(36917,plain,
% 17.40/12.68 ((~v199(constB1)) | (~v200(constB1))),
% 17.40/12.68 inference(unit_resolution,[status(thm)],[36916, 36915])).
% 17.40/12.68 tff(36918,plain,
% 17.40/12.68 ((~(v198(constB1) <=> (~((~v199(constB1)) | (~v200(constB1)))))) | (~v198(constB1)) | (~((~v199(constB1)) | (~v200(constB1))))),
% 17.40/12.68 inference(tautology,[status(thm)],[])).
% 17.40/12.68 tff(36919,plain,
% 17.40/12.68 (~v198(constB1)),
% 17.40/12.68 inference(unit_resolution,[status(thm)],[36918, 36917, 36869])).
% 17.40/12.68 tff(36920,plain,
% 17.40/12.68 (((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB1) <=> (~((~v157(constB1)) | (~v195(constB1)))))) <=> ((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB1) <=> (~((~v157(constB1)) | (~v195(constB1))))))),
% 17.40/12.68 inference(rewrite,[status(thm)],[])).
% 17.40/12.68 tff(36921,plain,
% 17.40/12.68 ((v194(constB1) <=> (~((~v195(constB1)) | (~v157(constB1))))) <=> (v194(constB1) <=> (~((~v157(constB1)) | (~v195(constB1)))))),
% 17.40/12.68 inference(rewrite,[status(thm)],[])).
% 17.40/12.68 tff(36922,plain,
% 17.40/12.68 (((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB1) <=> (~((~v195(constB1)) | (~v157(constB1)))))) <=> ((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB1) <=> (~((~v157(constB1)) | (~v195(constB1))))))),
% 17.40/12.68 inference(monotonicity,[status(thm)],[36921])).
% 17.40/12.68 tff(36923,plain,
% 17.40/12.68 (((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB1) <=> (~((~v195(constB1)) | (~v157(constB1)))))) <=> ((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB1) <=> (~((~v157(constB1)) | (~v195(constB1))))))),
% 17.40/12.68 inference(transitivity,[status(thm)],[36922, 36920])).
% 17.40/12.68 tff(36924,plain,
% 17.40/12.68 ((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB1) <=> (~((~v195(constB1)) | (~v157(constB1)))))),
% 17.40/12.68 inference(quant_inst,[status(thm)],[])).
% 17.40/12.68 tff(36925,plain,
% 17.40/12.68 ((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB1) <=> (~((~v157(constB1)) | (~v195(constB1)))))),
% 17.40/12.68 inference(modus_ponens,[status(thm)],[36924, 36923])).
% 17.40/12.68 tff(36926,plain,
% 17.40/12.68 (v194(constB1) <=> (~((~v157(constB1)) | (~v195(constB1))))),
% 17.40/12.68 inference(unit_resolution,[status(thm)],[36925, 161])).
% 17.40/12.68 tff(36927,plain,
% 17.40/12.68 ((~![VarNext: $i] : (v157(VarNext) <=> v193(VarNext))) | (v157(constB1) <=> v193(constB1))),
% 17.40/12.68 inference(quant_inst,[status(thm)],[])).
% 17.40/12.68 tff(36928,plain,
% 17.40/12.68 (v157(constB1) <=> v193(constB1)),
% 17.40/12.68 inference(unit_resolution,[status(thm)],[36927, 13])).
% 17.40/12.68 tff(36929,plain,
% 17.40/12.68 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v193(VarNext) <=> v191(VarCurr)))) | ((~nextState(constB0, constB1)) | (v193(constB1) <=> v191(constB0)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v193(VarNext) <=> v191(VarCurr)))) | (~nextState(constB0, constB1)) | (v193(constB1) <=> v191(constB0)))),
% 17.40/12.68 inference(rewrite,[status(thm)],[])).
% 17.40/12.68 tff(36930,plain,
% 17.40/12.68 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v193(VarNext) <=> v191(VarCurr)))) | ((~nextState(constB0, constB1)) | (v193(constB1) <=> v191(constB0)))),
% 17.40/12.68 inference(quant_inst,[status(thm)],[])).
% 17.40/12.68 tff(36931,plain,
% 17.40/12.68 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v193(VarNext) <=> v191(VarCurr)))) | (~nextState(constB0, constB1)) | (v193(constB1) <=> v191(constB0))),
% 17.40/12.68 inference(modus_ponens,[status(thm)],[36930, 36929])).
% 17.40/12.68 tff(36932,plain,
% 17.40/12.68 (v193(constB1) <=> v191(constB0)),
% 17.40/12.68 inference(unit_resolution,[status(thm)],[36931, 4976, 70])).
% 17.40/12.68 tff(36933,plain,
% 17.40/12.68 ((~![VarCurr: $i] : (v191(VarCurr) <=> (v194(VarCurr) | v198(VarCurr)))) | (v191(constB0) <=> (v194(constB0) | v198(constB0)))),
% 17.40/12.68 inference(quant_inst,[status(thm)],[])).
% 17.40/12.68 tff(36934,plain,
% 17.40/12.68 (v191(constB0) <=> (v194(constB0) | v198(constB0))),
% 17.40/12.68 inference(unit_resolution,[status(thm)],[36933, 84])).
% 17.40/12.68 tff(36935,plain,
% 17.40/12.68 ((~![VarCurr: $i] : (v198(VarCurr) <=> (~((~v199(VarCurr)) | (~v200(VarCurr)))))) | (v198(constB0) <=> (~((~v199(constB0)) | (~v200(constB0)))))),
% 17.40/12.68 inference(quant_inst,[status(thm)],[])).
% 17.40/12.68 tff(36936,plain,
% 17.40/12.68 (v198(constB0) <=> (~((~v199(constB0)) | (~v200(constB0))))),
% 17.40/12.68 inference(unit_resolution,[status(thm)],[36935, 96])).
% 17.40/12.68 tff(36937,plain,
% 17.40/12.68 ((~![VarCurr: $i] : (v200(VarCurr) <=> (~((~v197(VarCurr)) | (~v201(VarCurr)))))) | (v200(constB0) <=> (~((~v197(constB0)) | (~v201(constB0)))))),
% 17.40/12.68 inference(quant_inst,[status(thm)],[])).
% 17.40/12.68 tff(36938,plain,
% 17.40/12.68 (v200(constB0) <=> (~((~v197(constB0)) | (~v201(constB0))))),
% 17.40/12.68 inference(unit_resolution,[status(thm)],[36937, 108])).
% 17.40/12.68 tff(36939,plain,
% 17.40/12.68 ((~![VarCurr: $i] : (v201(VarCurr) <=> (~((~v159(VarCurr)) | (~v161(VarCurr)))))) | (v201(constB0) <=> (~((~v159(constB0)) | (~v161(constB0)))))),
% 17.40/12.68 inference(quant_inst,[status(thm)],[])).
% 17.40/12.68 tff(36940,plain,
% 17.40/12.68 (v201(constB0) <=> (~((~v159(constB0)) | (~v161(constB0))))),
% 17.40/12.68 inference(unit_resolution,[status(thm)],[36939, 348])).
% 17.40/12.68 tff(36941,plain,
% 17.40/12.68 (((~v159(constB0)) | (~v161(constB0))) | v159(constB0)),
% 17.40/12.68 inference(tautology,[status(thm)],[])).
% 17.40/12.68 tff(36942,plain,
% 17.40/12.68 ((~v159(constB0)) | (~v161(constB0))),
% 17.40/12.68 inference(unit_resolution,[status(thm)],[36941, 36902])).
% 17.40/12.68 tff(36943,plain,
% 17.40/12.68 ((~(v201(constB0) <=> (~((~v159(constB0)) | (~v161(constB0)))))) | (~v201(constB0)) | (~((~v159(constB0)) | (~v161(constB0))))),
% 17.40/12.68 inference(tautology,[status(thm)],[])).
% 17.40/12.68 tff(36944,plain,
% 17.40/12.68 ((~(v201(constB0) <=> (~((~v159(constB0)) | (~v161(constB0)))))) | (~v201(constB0))),
% 17.40/12.68 inference(unit_resolution,[status(thm)],[36943, 36942])).
% 17.40/12.68 tff(36945,plain,
% 17.40/12.68 (~v201(constB0)),
% 17.40/12.68 inference(unit_resolution,[status(thm)],[36944, 36940])).
% 17.40/12.68 tff(36946,plain,
% 17.40/12.68 (((~v197(constB0)) | (~v201(constB0))) | v201(constB0)),
% 17.40/12.68 inference(tautology,[status(thm)],[])).
% 17.40/12.68 tff(36947,plain,
% 17.40/12.68 ((~v197(constB0)) | (~v201(constB0))),
% 17.40/12.68 inference(unit_resolution,[status(thm)],[36946, 36945])).
% 17.40/12.68 tff(36948,plain,
% 17.40/12.68 ((~(v200(constB0) <=> (~((~v197(constB0)) | (~v201(constB0)))))) | (~v200(constB0)) | (~((~v197(constB0)) | (~v201(constB0))))),
% 17.40/12.68 inference(tautology,[status(thm)],[])).
% 17.40/12.68 tff(36949,plain,
% 17.40/12.68 ((~(v200(constB0) <=> (~((~v197(constB0)) | (~v201(constB0)))))) | (~v200(constB0))),
% 17.40/12.68 inference(unit_resolution,[status(thm)],[36948, 36947])).
% 17.40/12.68 tff(36950,plain,
% 17.40/12.68 (~v200(constB0)),
% 17.40/12.68 inference(unit_resolution,[status(thm)],[36949, 36938])).
% 17.40/12.68 tff(36951,plain,
% 17.40/12.68 (((~v199(constB0)) | (~v200(constB0))) | v200(constB0)),
% 17.40/12.68 inference(tautology,[status(thm)],[])).
% 17.40/12.68 tff(36952,plain,
% 17.40/12.68 ((~v199(constB0)) | (~v200(constB0))),
% 17.40/12.68 inference(unit_resolution,[status(thm)],[36951, 36950])).
% 17.40/12.68 tff(36953,plain,
% 17.40/12.68 ((~(v198(constB0) <=> (~((~v199(constB0)) | (~v200(constB0)))))) | (~v198(constB0)) | (~((~v199(constB0)) | (~v200(constB0))))),
% 17.40/12.68 inference(tautology,[status(thm)],[])).
% 17.40/12.68 tff(36954,plain,
% 17.40/12.68 ((~(v198(constB0) <=> (~((~v199(constB0)) | (~v200(constB0)))))) | (~v198(constB0))),
% 17.40/12.68 inference(unit_resolution,[status(thm)],[36953, 36952])).
% 17.40/12.68 tff(36955,plain,
% 17.40/12.68 (~v198(constB0)),
% 17.40/12.68 inference(unit_resolution,[status(thm)],[36954, 36936])).
% 17.40/12.68 tff(36956,plain,
% 17.40/12.68 (((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB0) <=> (~((~v157(constB0)) | (~v195(constB0)))))) <=> ((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB0) <=> (~((~v157(constB0)) | (~v195(constB0))))))),
% 17.40/12.68 inference(rewrite,[status(thm)],[])).
% 17.40/12.68 tff(36957,plain,
% 17.40/12.68 ((v194(constB0) <=> (~((~v195(constB0)) | (~v157(constB0))))) <=> (v194(constB0) <=> (~((~v157(constB0)) | (~v195(constB0)))))),
% 17.40/12.68 inference(rewrite,[status(thm)],[])).
% 17.40/12.68 tff(36958,plain,
% 17.40/12.68 (((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB0) <=> (~((~v195(constB0)) | (~v157(constB0)))))) <=> ((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB0) <=> (~((~v157(constB0)) | (~v195(constB0))))))),
% 17.40/12.68 inference(monotonicity,[status(thm)],[36957])).
% 17.40/12.68 tff(36959,plain,
% 17.40/12.68 (((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB0) <=> (~((~v195(constB0)) | (~v157(constB0)))))) <=> ((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB0) <=> (~((~v157(constB0)) | (~v195(constB0))))))),
% 17.40/12.68 inference(transitivity,[status(thm)],[36958, 36956])).
% 17.40/12.68 tff(36960,plain,
% 17.40/12.68 ((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB0) <=> (~((~v195(constB0)) | (~v157(constB0)))))),
% 17.40/12.68 inference(quant_inst,[status(thm)],[])).
% 17.40/12.68 tff(36961,plain,
% 17.40/12.68 ((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB0) <=> (~((~v157(constB0)) | (~v195(constB0)))))),
% 17.40/12.68 inference(modus_ponens,[status(thm)],[36960, 36959])).
% 17.40/12.68 tff(36962,plain,
% 17.40/12.68 (v194(constB0) <=> (~((~v157(constB0)) | (~v195(constB0))))),
% 17.40/12.68 inference(unit_resolution,[status(thm)],[36961, 161])).
% 17.40/12.68 tff(36963,plain,
% 17.40/12.68 ((~v157(constB0)) <=> (~v157(constB0))),
% 17.40/12.68 inference(rewrite,[status(thm)],[])).
% 17.40/12.68 tff(36964,axiom,(~v157(constB0)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','addAssignmentInitValue_8')).
% 17.40/12.68 tff(36965,plain,
% 17.40/12.68 (~v157(constB0)),
% 17.40/12.68 inference(modus_ponens,[status(thm)],[36964, 36963])).
% 17.40/12.68 tff(36966,plain,
% 17.40/12.68 (((~v157(constB0)) | (~v195(constB0))) | v157(constB0)),
% 17.40/12.68 inference(tautology,[status(thm)],[])).
% 17.40/12.68 tff(36967,plain,
% 17.40/12.68 ((~v157(constB0)) | (~v195(constB0))),
% 17.40/12.68 inference(unit_resolution,[status(thm)],[36966, 36965])).
% 17.40/12.68 tff(36968,plain,
% 17.40/12.68 ((~(v194(constB0) <=> (~((~v157(constB0)) | (~v195(constB0)))))) | (~v194(constB0)) | (~((~v157(constB0)) | (~v195(constB0))))),
% 17.40/12.68 inference(tautology,[status(thm)],[])).
% 17.40/12.68 tff(36969,plain,
% 17.40/12.68 ((~(v194(constB0) <=> (~((~v157(constB0)) | (~v195(constB0)))))) | (~v194(constB0))),
% 17.40/12.68 inference(unit_resolution,[status(thm)],[36968, 36967])).
% 17.40/12.68 tff(36970,plain,
% 17.40/12.68 (~v194(constB0)),
% 17.40/12.68 inference(unit_resolution,[status(thm)],[36969, 36962])).
% 17.40/12.68 tff(36971,plain,
% 17.40/12.68 ((~(v194(constB0) | v198(constB0))) | v194(constB0) | v198(constB0)),
% 17.40/12.68 inference(tautology,[status(thm)],[])).
% 17.40/12.68 tff(36972,plain,
% 17.40/12.68 ((~(v194(constB0) | v198(constB0))) | v198(constB0)),
% 17.40/12.68 inference(unit_resolution,[status(thm)],[36971, 36970])).
% 17.40/12.68 tff(36973,plain,
% 17.40/12.68 (~(v194(constB0) | v198(constB0))),
% 17.40/12.68 inference(unit_resolution,[status(thm)],[36972, 36955])).
% 17.40/12.68 tff(36974,plain,
% 17.40/12.68 ((~(v191(constB0) <=> (v194(constB0) | v198(constB0)))) | (~v191(constB0)) | (v194(constB0) | v198(constB0))),
% 17.40/12.68 inference(tautology,[status(thm)],[])).
% 17.40/12.68 tff(36975,plain,
% 17.40/12.68 (~v191(constB0)),
% 17.40/12.68 inference(unit_resolution,[status(thm)],[36974, 36973, 36934])).
% 17.40/12.68 tff(36976,plain,
% 17.40/12.68 ((~(v193(constB1) <=> v191(constB0))) | (~v193(constB1)) | v191(constB0)),
% 17.40/12.68 inference(tautology,[status(thm)],[])).
% 17.40/12.68 tff(36977,plain,
% 17.40/12.68 (~v193(constB1)),
% 17.40/12.68 inference(unit_resolution,[status(thm)],[36976, 36975, 36932])).
% 17.40/12.68 tff(36978,plain,
% 17.40/12.68 ((~(v157(constB1) <=> v193(constB1))) | (~v157(constB1)) | v193(constB1)),
% 17.40/12.68 inference(tautology,[status(thm)],[])).
% 17.40/12.68 tff(36979,plain,
% 17.40/12.68 (~v157(constB1)),
% 17.40/12.68 inference(unit_resolution,[status(thm)],[36978, 36977, 36928])).
% 17.40/12.68 tff(36980,plain,
% 17.40/12.68 (((~v157(constB1)) | (~v195(constB1))) | v157(constB1)),
% 17.40/12.68 inference(tautology,[status(thm)],[])).
% 17.40/12.68 tff(36981,plain,
% 17.40/12.68 ((~v157(constB1)) | (~v195(constB1))),
% 17.40/12.68 inference(unit_resolution,[status(thm)],[36980, 36979])).
% 17.40/12.68 tff(36982,plain,
% 17.40/12.68 ((~(v194(constB1) <=> (~((~v157(constB1)) | (~v195(constB1)))))) | (~v194(constB1)) | (~((~v157(constB1)) | (~v195(constB1))))),
% 17.40/12.69 inference(tautology,[status(thm)],[])).
% 17.40/12.69 tff(36983,plain,
% 17.40/12.69 (~v194(constB1)),
% 17.40/12.69 inference(unit_resolution,[status(thm)],[36982, 36981, 36926])).
% 17.40/12.69 tff(36984,plain,
% 17.40/12.69 ((~(v194(constB1) | v198(constB1))) | v194(constB1) | v198(constB1)),
% 17.40/12.69 inference(tautology,[status(thm)],[])).
% 17.40/12.69 tff(36985,plain,
% 17.40/12.69 (~(v194(constB1) | v198(constB1))),
% 17.40/12.69 inference(unit_resolution,[status(thm)],[36984, 36983, 36919])).
% 17.40/12.69 tff(36986,plain,
% 17.40/12.69 ((~(v191(constB1) <=> (v194(constB1) | v198(constB1)))) | (~v191(constB1)) | (v194(constB1) | v198(constB1))),
% 17.40/12.69 inference(tautology,[status(thm)],[])).
% 17.40/12.69 tff(36987,plain,
% 17.40/12.69 (~v191(constB1)),
% 17.40/12.69 inference(unit_resolution,[status(thm)],[36986, 36985, 36867])).
% 17.40/12.69 tff(36988,plain,
% 17.40/12.69 ((~(v193(constB2) <=> v191(constB1))) | (~v193(constB2)) | v191(constB1)),
% 17.40/12.69 inference(tautology,[status(thm)],[])).
% 17.40/12.69 tff(36989,plain,
% 17.40/12.69 (~v193(constB2)),
% 17.40/12.69 inference(unit_resolution,[status(thm)],[36988, 36987, 36865])).
% 17.40/12.69 tff(36990,plain,
% 17.40/12.69 ((~(v157(constB2) <=> v193(constB2))) | (~v157(constB2)) | v193(constB2)),
% 17.40/12.69 inference(tautology,[status(thm)],[])).
% 17.40/12.69 tff(36991,plain,
% 17.40/12.69 (~v157(constB2)),
% 17.40/12.69 inference(unit_resolution,[status(thm)],[36990, 36989, 36861])).
% 17.40/12.69 tff(36992,plain,
% 17.40/12.69 (((~v157(constB2)) | (~v195(constB2))) | v157(constB2)),
% 17.40/12.69 inference(tautology,[status(thm)],[])).
% 17.40/12.69 tff(36993,plain,
% 17.40/12.69 ((~v157(constB2)) | (~v195(constB2))),
% 17.40/12.69 inference(unit_resolution,[status(thm)],[36992, 36991])).
% 17.40/12.69 tff(36994,plain,
% 17.40/12.69 ((~(v194(constB2) <=> (~((~v157(constB2)) | (~v195(constB2)))))) | (~v194(constB2)) | (~((~v157(constB2)) | (~v195(constB2))))),
% 17.40/12.69 inference(tautology,[status(thm)],[])).
% 17.40/12.69 tff(36995,plain,
% 17.40/12.69 (~v194(constB2)),
% 17.40/12.69 inference(unit_resolution,[status(thm)],[36994, 36993, 36859])).
% 17.40/12.69 tff(36996,plain,
% 17.40/12.69 ((~(v194(constB2) | v198(constB2))) | v194(constB2) | v198(constB2)),
% 17.40/12.69 inference(tautology,[status(thm)],[])).
% 17.40/12.69 tff(36997,plain,
% 17.40/12.69 (~(v194(constB2) | v198(constB2))),
% 17.40/12.69 inference(unit_resolution,[status(thm)],[36996, 36995, 36852])).
% 17.40/12.69 tff(36998,plain,
% 17.40/12.69 ((~(v191(constB2) <=> (v194(constB2) | v198(constB2)))) | (~v191(constB2)) | (v194(constB2) | v198(constB2))),
% 17.40/12.69 inference(tautology,[status(thm)],[])).
% 17.40/12.69 tff(36999,plain,
% 17.40/12.69 (~v191(constB2)),
% 17.40/12.69 inference(unit_resolution,[status(thm)],[36998, 36997, 36827])).
% 17.40/12.69 tff(37000,plain,
% 17.40/12.69 ((~(v193(constB3) <=> v191(constB2))) | (~v193(constB3)) | v191(constB2)),
% 17.40/12.69 inference(tautology,[status(thm)],[])).
% 17.40/12.69 tff(37001,plain,
% 17.40/12.69 (~v193(constB3)),
% 17.40/12.69 inference(unit_resolution,[status(thm)],[37000, 36999, 36825])).
% 17.40/12.69 tff(37002,plain,
% 17.40/12.69 ($false),
% 17.40/12.69 inference(unit_resolution,[status(thm)],[37001, 36821])).
% 17.40/12.69 tff(37003,plain,(~(constB3 = VarCurr!0)), inference(lemma,lemma(discharge,[]))).
% 17.40/12.69 tff(37004,assumption,(constB115 = VarCurr!0), introduced(assumption)).
% 17.40/12.69 tff(37005,plain,
% 17.40/12.69 (v86(constB115) <=> v86(VarCurr!0)),
% 17.40/12.69 inference(monotonicity,[status(thm)],[37004])).
% 17.40/12.69 tff(37006,plain,
% 17.40/12.69 (v86(VarCurr!0) <=> v86(constB115)),
% 17.40/12.69 inference(symmetry,[status(thm)],[37005])).
% 17.40/12.69 tff(37007,plain,
% 17.40/12.69 ((~v86(VarCurr!0)) <=> (~v86(constB115))),
% 17.40/12.69 inference(monotonicity,[status(thm)],[37006])).
% 17.40/12.69 tff(37008,plain,
% 17.40/12.69 (~v86(constB115)),
% 17.40/12.69 inference(modus_ponens,[status(thm)],[20649, 37007])).
% 17.40/12.69 tff(37009,plain,
% 17.40/12.69 (((~![VarCurr: $i] : (v148(VarCurr) | (~v142(VarCurr)))) | (v148(constB115) | (~v142(constB115)))) <=> ((~![VarCurr: $i] : (v148(VarCurr) | (~v142(VarCurr)))) | v148(constB115) | (~v142(constB115)))),
% 17.40/12.69 inference(rewrite,[status(thm)],[])).
% 17.40/12.69 tff(37010,plain,
% 17.40/12.69 ((~![VarCurr: $i] : (v148(VarCurr) | (~v142(VarCurr)))) | (v148(constB115) | (~v142(constB115)))),
% 17.40/12.69 inference(quant_inst,[status(thm)],[])).
% 17.40/12.69 tff(37011,plain,
% 17.40/12.69 ((~![VarCurr: $i] : (v148(VarCurr) | (~v142(VarCurr)))) | v148(constB115) | (~v142(constB115))),
% 17.40/12.69 inference(modus_ponens,[status(thm)],[37010, 37009])).
% 17.40/12.69 tff(37012,plain,
% 17.40/12.69 (v148(constB115) | (~v142(constB115))),
% 17.40/12.69 inference(unit_resolution,[status(thm)],[37011, 23525])).
% 17.40/12.69 tff(37013,plain,
% 17.40/12.69 (v148(constB115)),
% 17.40/12.69 inference(unit_resolution,[status(thm)],[37012, 36143])).
% 17.40/12.69 tff(37014,plain,
% 17.40/12.69 ((~![VarCurr: $i] : (v135(VarCurr) <=> (v136(VarCurr) | v145(VarCurr)))) | (v135(constB115) <=> (v136(constB115) | v145(constB115)))),
% 17.40/12.69 inference(quant_inst,[status(thm)],[])).
% 17.40/12.69 tff(37015,plain,
% 17.40/12.69 (v135(constB115) <=> (v136(constB115) | v145(constB115))),
% 17.40/12.69 inference(unit_resolution,[status(thm)],[37014, 23537])).
% 17.40/12.69 tff(37016,plain,
% 17.40/12.69 ((~![VarCurr: $i] : (v136(VarCurr) <=> (v137(VarCurr) | v142(VarCurr)))) | (v136(constB115) <=> (v137(constB115) | v142(constB115)))),
% 17.40/12.69 inference(quant_inst,[status(thm)],[])).
% 17.40/12.69 tff(37017,plain,
% 17.40/12.69 (v136(constB115) <=> (v137(constB115) | v142(constB115))),
% 17.40/12.69 inference(unit_resolution,[status(thm)],[37016, 23546])).
% 17.40/12.69 tff(37018,plain,
% 17.40/12.69 ((v137(constB115) | v142(constB115)) | (~v142(constB115))),
% 17.40/12.69 inference(tautology,[status(thm)],[])).
% 17.40/12.69 tff(37019,plain,
% 17.40/12.69 (v137(constB115) | v142(constB115)),
% 17.40/12.69 inference(unit_resolution,[status(thm)],[37018, 36143])).
% 17.40/12.69 tff(37020,plain,
% 17.40/12.69 ((~(v136(constB115) <=> (v137(constB115) | v142(constB115)))) | v136(constB115) | (~(v137(constB115) | v142(constB115)))),
% 17.40/12.69 inference(tautology,[status(thm)],[])).
% 17.40/12.69 tff(37021,plain,
% 17.40/12.69 (v136(constB115)),
% 17.40/12.69 inference(unit_resolution,[status(thm)],[37020, 37019, 37017])).
% 17.40/12.69 tff(37022,plain,
% 17.40/12.69 ((v136(constB115) | v145(constB115)) | (~v136(constB115))),
% 17.40/12.69 inference(tautology,[status(thm)],[])).
% 17.40/12.69 tff(37023,plain,
% 17.40/12.69 (v136(constB115) | v145(constB115)),
% 17.40/12.69 inference(unit_resolution,[status(thm)],[37022, 37021])).
% 17.40/12.69 tff(37024,plain,
% 17.40/12.69 ((~(v135(constB115) <=> (v136(constB115) | v145(constB115)))) | v135(constB115) | (~(v136(constB115) | v145(constB115)))),
% 17.40/12.69 inference(tautology,[status(thm)],[])).
% 17.40/12.69 tff(37025,plain,
% 17.40/12.69 (v135(constB115)),
% 17.40/12.69 inference(unit_resolution,[status(thm)],[37024, 37023, 37015])).
% 17.40/12.69 tff(37026,plain,
% 17.40/12.69 (((~![VarNext: $i] : ((~v135(VarNext)) | (v86(VarNext) <=> v148(VarNext)))) | ((~v135(constB115)) | (v86(constB115) <=> v148(constB115)))) <=> ((~![VarNext: $i] : ((~v135(VarNext)) | (v86(VarNext) <=> v148(VarNext)))) | (~v135(constB115)) | (v86(constB115) <=> v148(constB115)))),
% 17.40/12.69 inference(rewrite,[status(thm)],[])).
% 17.40/12.69 tff(37027,plain,
% 17.40/12.69 ((~![VarNext: $i] : ((~v135(VarNext)) | (v86(VarNext) <=> v148(VarNext)))) | ((~v135(constB115)) | (v86(constB115) <=> v148(constB115)))),
% 17.40/12.69 inference(quant_inst,[status(thm)],[])).
% 17.40/12.69 tff(37028,plain,
% 17.40/12.69 ((~![VarNext: $i] : ((~v135(VarNext)) | (v86(VarNext) <=> v148(VarNext)))) | (~v135(constB115)) | (v86(constB115) <=> v148(constB115))),
% 17.40/12.69 inference(modus_ponens,[status(thm)],[37027, 37026])).
% 17.40/12.69 tff(37029,plain,
% 17.40/12.69 ((~v135(constB115)) | (v86(constB115) <=> v148(constB115))),
% 17.40/12.69 inference(unit_resolution,[status(thm)],[37028, 23566])).
% 17.40/12.69 tff(37030,plain,
% 17.40/12.69 (v86(constB115) <=> v148(constB115)),
% 17.40/12.69 inference(unit_resolution,[status(thm)],[37029, 37025])).
% 17.40/12.69 tff(37031,plain,
% 17.40/12.69 ((~(v86(constB115) <=> v148(constB115))) | v86(constB115) | (~v148(constB115))),
% 17.40/12.69 inference(tautology,[status(thm)],[])).
% 17.40/12.69 tff(37032,plain,
% 17.40/12.69 (v86(constB115)),
% 17.40/12.69 inference(unit_resolution,[status(thm)],[37031, 37030, 37013])).
% 17.40/12.69 tff(37033,plain,
% 17.40/12.69 ($false),
% 17.40/12.69 inference(unit_resolution,[status(thm)],[37032, 37008])).
% 17.40/12.69 tff(37034,plain,(~(constB115 = VarCurr!0)), inference(lemma,lemma(discharge,[]))).
% 17.40/12.69 tff(37035,assumption,(constB25 = VarCurr!0), introduced(assumption)).
% 17.40/12.69 tff(37036,plain,
% 17.40/12.69 (v86(constB25) <=> v86(VarCurr!0)),
% 17.40/12.69 inference(monotonicity,[status(thm)],[37035])).
% 17.40/12.69 tff(37037,plain,
% 17.40/12.69 (v86(VarCurr!0) <=> v86(constB25)),
% 17.40/12.69 inference(symmetry,[status(thm)],[37036])).
% 17.40/12.69 tff(37038,plain,
% 17.40/12.69 ((~v86(VarCurr!0)) <=> (~v86(constB25))),
% 17.40/12.69 inference(monotonicity,[status(thm)],[37037])).
% 17.40/12.69 tff(37039,plain,
% 17.40/12.69 (~v86(constB25)),
% 17.40/12.69 inference(modus_ponens,[status(thm)],[20649, 37038])).
% 17.40/12.69 tff(37040,plain,
% 17.40/12.69 (((~![VarCurr: $i] : (v148(VarCurr) | (~v142(VarCurr)))) | (v148(constB25) | (~v142(constB25)))) <=> ((~![VarCurr: $i] : (v148(VarCurr) | (~v142(VarCurr)))) | v148(constB25) | (~v142(constB25)))),
% 17.40/12.69 inference(rewrite,[status(thm)],[])).
% 17.40/12.69 tff(37041,plain,
% 17.40/12.69 ((~![VarCurr: $i] : (v148(VarCurr) | (~v142(VarCurr)))) | (v148(constB25) | (~v142(constB25)))),
% 17.40/12.69 inference(quant_inst,[status(thm)],[])).
% 17.40/12.69 tff(37042,plain,
% 17.40/12.69 ((~![VarCurr: $i] : (v148(VarCurr) | (~v142(VarCurr)))) | v148(constB25) | (~v142(constB25))),
% 17.40/12.69 inference(modus_ponens,[status(thm)],[37041, 37040])).
% 17.40/12.69 tff(37043,plain,
% 17.40/12.69 (v148(constB25) | (~v142(constB25))),
% 17.40/12.69 inference(unit_resolution,[status(thm)],[37042, 23525])).
% 17.40/12.69 tff(37044,plain,
% 17.40/12.69 (v148(constB25)),
% 17.40/12.69 inference(unit_resolution,[status(thm)],[37043, 28773])).
% 17.40/12.69 tff(37045,plain,
% 17.40/12.69 ((~![VarCurr: $i] : (v135(VarCurr) <=> (v136(VarCurr) | v145(VarCurr)))) | (v135(constB25) <=> (v136(constB25) | v145(constB25)))),
% 17.40/12.69 inference(quant_inst,[status(thm)],[])).
% 17.40/12.69 tff(37046,plain,
% 17.40/12.69 (v135(constB25) <=> (v136(constB25) | v145(constB25))),
% 17.40/12.69 inference(unit_resolution,[status(thm)],[37045, 23537])).
% 17.40/12.69 tff(37047,plain,
% 17.40/12.69 ((~![VarCurr: $i] : (v136(VarCurr) <=> (v137(VarCurr) | v142(VarCurr)))) | (v136(constB25) <=> (v137(constB25) | v142(constB25)))),
% 17.40/12.69 inference(quant_inst,[status(thm)],[])).
% 17.40/12.69 tff(37048,plain,
% 17.40/12.69 (v136(constB25) <=> (v137(constB25) | v142(constB25))),
% 17.40/12.69 inference(unit_resolution,[status(thm)],[37047, 23546])).
% 17.40/12.69 tff(37049,plain,
% 17.40/12.69 ((v137(constB25) | v142(constB25)) | (~v142(constB25))),
% 17.40/12.69 inference(tautology,[status(thm)],[])).
% 17.40/12.69 tff(37050,plain,
% 17.40/12.69 (v137(constB25) | v142(constB25)),
% 17.40/12.69 inference(unit_resolution,[status(thm)],[37049, 28773])).
% 17.40/12.69 tff(37051,plain,
% 17.40/12.69 ((~(v136(constB25) <=> (v137(constB25) | v142(constB25)))) | v136(constB25) | (~(v137(constB25) | v142(constB25)))),
% 17.40/12.69 inference(tautology,[status(thm)],[])).
% 17.40/12.69 tff(37052,plain,
% 17.40/12.69 (v136(constB25)),
% 17.40/12.69 inference(unit_resolution,[status(thm)],[37051, 37050, 37048])).
% 17.40/12.69 tff(37053,plain,
% 17.40/12.69 ((v136(constB25) | v145(constB25)) | (~v136(constB25))),
% 17.40/12.69 inference(tautology,[status(thm)],[])).
% 17.40/12.69 tff(37054,plain,
% 17.40/12.69 (v136(constB25) | v145(constB25)),
% 17.40/12.69 inference(unit_resolution,[status(thm)],[37053, 37052])).
% 17.40/12.69 tff(37055,plain,
% 17.40/12.69 ((~(v135(constB25) <=> (v136(constB25) | v145(constB25)))) | v135(constB25) | (~(v136(constB25) | v145(constB25)))),
% 17.40/12.69 inference(tautology,[status(thm)],[])).
% 17.40/12.69 tff(37056,plain,
% 17.40/12.69 (v135(constB25)),
% 17.40/12.69 inference(unit_resolution,[status(thm)],[37055, 37054, 37046])).
% 17.40/12.69 tff(37057,plain,
% 17.40/12.69 (((~![VarNext: $i] : ((~v135(VarNext)) | (v86(VarNext) <=> v148(VarNext)))) | ((~v135(constB25)) | (v86(constB25) <=> v148(constB25)))) <=> ((~![VarNext: $i] : ((~v135(VarNext)) | (v86(VarNext) <=> v148(VarNext)))) | (~v135(constB25)) | (v86(constB25) <=> v148(constB25)))),
% 17.40/12.69 inference(rewrite,[status(thm)],[])).
% 17.40/12.69 tff(37058,plain,
% 17.40/12.69 ((~![VarNext: $i] : ((~v135(VarNext)) | (v86(VarNext) <=> v148(VarNext)))) | ((~v135(constB25)) | (v86(constB25) <=> v148(constB25)))),
% 17.40/12.69 inference(quant_inst,[status(thm)],[])).
% 17.40/12.69 tff(37059,plain,
% 17.40/12.69 ((~![VarNext: $i] : ((~v135(VarNext)) | (v86(VarNext) <=> v148(VarNext)))) | (~v135(constB25)) | (v86(constB25) <=> v148(constB25))),
% 17.40/12.69 inference(modus_ponens,[status(thm)],[37058, 37057])).
% 17.40/12.69 tff(37060,plain,
% 17.40/12.69 ((~v135(constB25)) | (v86(constB25) <=> v148(constB25))),
% 17.40/12.69 inference(unit_resolution,[status(thm)],[37059, 23566])).
% 17.40/12.69 tff(37061,plain,
% 17.40/12.69 (v86(constB25) <=> v148(constB25)),
% 17.40/12.69 inference(unit_resolution,[status(thm)],[37060, 37056])).
% 17.40/12.69 tff(37062,plain,
% 17.40/12.69 ((~(v86(constB25) <=> v148(constB25))) | v86(constB25) | (~v148(constB25))),
% 17.40/12.69 inference(tautology,[status(thm)],[])).
% 17.40/12.69 tff(37063,plain,
% 17.40/12.69 (v86(constB25)),
% 17.40/12.69 inference(unit_resolution,[status(thm)],[37062, 37061, 37044])).
% 17.40/12.69 tff(37064,plain,
% 17.40/12.69 ($false),
% 17.40/12.69 inference(unit_resolution,[status(thm)],[37063, 37039])).
% 17.40/12.69 tff(37065,plain,(~(constB25 = VarCurr!0)), inference(lemma,lemma(discharge,[]))).
% 17.40/12.69 tff(37066,assumption,(constB43 = VarCurr!0), introduced(assumption)).
% 17.40/12.69 tff(37067,plain,
% 17.40/12.69 (v193(constB43) <=> v193(VarCurr!0)),
% 17.40/12.69 inference(monotonicity,[status(thm)],[37066])).
% 17.40/12.69 tff(37068,plain,
% 17.40/12.69 (v193(VarCurr!0) <=> v193(constB43)),
% 17.40/12.69 inference(symmetry,[status(thm)],[37067])).
% 17.40/12.69 tff(37069,plain,
% 17.40/12.69 (v193(constB43)),
% 17.40/12.69 inference(modus_ponens,[status(thm)],[59, 37068])).
% 17.40/12.69 tff(37070,plain,
% 17.40/12.69 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v193(VarNext) <=> v191(VarCurr)))) | ((~nextState(constB42, constB43)) | (v193(constB43) <=> v191(constB42)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v193(VarNext) <=> v191(VarCurr)))) | (~nextState(constB42, constB43)) | (v193(constB43) <=> v191(constB42)))),
% 17.40/12.69 inference(rewrite,[status(thm)],[])).
% 17.40/12.69 tff(37071,plain,
% 17.40/12.69 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v193(VarNext) <=> v191(VarCurr)))) | ((~nextState(constB42, constB43)) | (v193(constB43) <=> v191(constB42)))),
% 17.40/12.69 inference(quant_inst,[status(thm)],[])).
% 17.40/12.69 tff(37072,plain,
% 17.40/12.69 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v193(VarNext) <=> v191(VarCurr)))) | (~nextState(constB42, constB43)) | (v193(constB43) <=> v191(constB42))),
% 17.40/12.69 inference(modus_ponens,[status(thm)],[37071, 37070])).
% 17.40/12.69 tff(37073,plain,
% 17.40/12.69 (v193(constB43) <=> v191(constB42)),
% 17.40/12.69 inference(unit_resolution,[status(thm)],[37072, 3019, 70])).
% 17.40/12.69 tff(37074,plain,
% 17.40/12.69 ((~![VarCurr: $i] : (v191(VarCurr) <=> (v194(VarCurr) | v198(VarCurr)))) | (v191(constB42) <=> (v194(constB42) | v198(constB42)))),
% 17.40/12.69 inference(quant_inst,[status(thm)],[])).
% 17.40/12.69 tff(37075,plain,
% 17.40/12.69 (v191(constB42) <=> (v194(constB42) | v198(constB42))),
% 17.40/12.69 inference(unit_resolution,[status(thm)],[37074, 84])).
% 17.40/12.69 tff(37076,plain,
% 17.40/12.69 ((~![VarCurr: $i] : (v198(VarCurr) <=> (~((~v199(VarCurr)) | (~v200(VarCurr)))))) | (v198(constB42) <=> (~((~v199(constB42)) | (~v200(constB42)))))),
% 17.40/12.69 inference(quant_inst,[status(thm)],[])).
% 17.40/12.69 tff(37077,plain,
% 17.40/12.69 (v198(constB42) <=> (~((~v199(constB42)) | (~v200(constB42))))),
% 17.40/12.69 inference(unit_resolution,[status(thm)],[37076, 96])).
% 17.40/12.69 tff(37078,plain,
% 17.40/12.69 ((~![VarCurr: $i] : (v200(VarCurr) <=> (~((~v197(VarCurr)) | (~v201(VarCurr)))))) | (v200(constB42) <=> (~((~v197(constB42)) | (~v201(constB42)))))),
% 17.40/12.69 inference(quant_inst,[status(thm)],[])).
% 17.40/12.69 tff(37079,plain,
% 17.40/12.69 (v200(constB42) <=> (~((~v197(constB42)) | (~v201(constB42))))),
% 17.40/12.69 inference(unit_resolution,[status(thm)],[37078, 108])).
% 17.40/12.69 tff(37080,plain,
% 17.40/12.69 ((~![VarCurr: $i] : (v197(VarCurr) <=> (~((~v39(VarCurr)) | (~v9(VarCurr)))))) | (v197(constB42) <=> (~((~v39(constB42)) | (~v9(constB42)))))),
% 17.40/12.69 inference(quant_inst,[status(thm)],[])).
% 17.40/12.69 tff(37081,plain,
% 17.40/12.69 (v197(constB42) <=> (~((~v39(constB42)) | (~v9(constB42))))),
% 17.40/12.69 inference(unit_resolution,[status(thm)],[37080, 120])).
% 17.40/12.69 tff(37082,plain,
% 17.40/12.69 ((~![VarCurr: $i] : ((~v39(VarCurr)) <=> v1(VarCurr))) | ((~v39(constB42)) <=> v1(constB42))),
% 17.40/12.69 inference(quant_inst,[status(thm)],[])).
% 17.40/12.69 tff(37083,plain,
% 17.40/12.69 ((~v39(constB42)) <=> v1(constB42)),
% 17.40/12.69 inference(unit_resolution,[status(thm)],[37082, 129])).
% 17.40/12.69 tff(37084,plain,
% 17.40/12.69 ((~((~v39(constB42)) <=> v1(constB42))) | (~v39(constB42)) | (~v1(constB42))),
% 17.40/12.69 inference(tautology,[status(thm)],[])).
% 17.40/12.69 tff(37085,plain,
% 17.40/12.69 ((~((~v39(constB42)) <=> v1(constB42))) | (~v39(constB42))),
% 17.40/12.69 inference(unit_resolution,[status(thm)],[37084, 3081])).
% 17.40/12.69 tff(37086,plain,
% 17.40/12.69 (~v39(constB42)),
% 17.40/12.69 inference(unit_resolution,[status(thm)],[37085, 37083])).
% 17.40/12.69 tff(37087,plain,
% 17.40/12.69 (((~v39(constB42)) | (~v9(constB42))) | v39(constB42)),
% 17.40/12.69 inference(tautology,[status(thm)],[])).
% 17.40/12.69 tff(37088,plain,
% 17.40/12.69 ((~v39(constB42)) | (~v9(constB42))),
% 17.40/12.69 inference(unit_resolution,[status(thm)],[37087, 37086])).
% 17.40/12.69 tff(37089,plain,
% 17.40/12.69 ((~(v197(constB42) <=> (~((~v39(constB42)) | (~v9(constB42)))))) | (~v197(constB42)) | (~((~v39(constB42)) | (~v9(constB42))))),
% 17.40/12.69 inference(tautology,[status(thm)],[])).
% 17.40/12.69 tff(37090,plain,
% 17.40/12.69 ((~(v197(constB42) <=> (~((~v39(constB42)) | (~v9(constB42)))))) | (~v197(constB42))),
% 17.40/12.69 inference(unit_resolution,[status(thm)],[37089, 37088])).
% 17.40/12.69 tff(37091,plain,
% 17.40/12.69 (~v197(constB42)),
% 17.40/12.69 inference(unit_resolution,[status(thm)],[37090, 37081])).
% 17.40/12.69 tff(37092,plain,
% 17.40/12.69 (((~v197(constB42)) | (~v201(constB42))) | v197(constB42)),
% 17.40/12.69 inference(tautology,[status(thm)],[])).
% 17.40/12.69 tff(37093,plain,
% 17.40/12.69 ((~v197(constB42)) | (~v201(constB42))),
% 17.40/12.69 inference(unit_resolution,[status(thm)],[37092, 37091])).
% 17.40/12.69 tff(37094,plain,
% 17.40/12.69 ((~(v200(constB42) <=> (~((~v197(constB42)) | (~v201(constB42)))))) | (~v200(constB42)) | (~((~v197(constB42)) | (~v201(constB42))))),
% 17.40/12.70 inference(tautology,[status(thm)],[])).
% 17.40/12.70 tff(37095,plain,
% 17.40/12.70 ((~(v200(constB42) <=> (~((~v197(constB42)) | (~v201(constB42)))))) | (~v200(constB42))),
% 17.40/12.70 inference(unit_resolution,[status(thm)],[37094, 37093])).
% 17.40/12.70 tff(37096,plain,
% 17.40/12.70 (~v200(constB42)),
% 17.40/12.70 inference(unit_resolution,[status(thm)],[37095, 37079])).
% 17.40/12.70 tff(37097,plain,
% 17.40/12.70 (((~v199(constB42)) | (~v200(constB42))) | v200(constB42)),
% 17.40/12.70 inference(tautology,[status(thm)],[])).
% 17.40/12.70 tff(37098,plain,
% 17.40/12.70 ((~v199(constB42)) | (~v200(constB42))),
% 17.40/12.70 inference(unit_resolution,[status(thm)],[37097, 37096])).
% 17.40/12.70 tff(37099,plain,
% 17.40/12.70 ((~(v198(constB42) <=> (~((~v199(constB42)) | (~v200(constB42)))))) | (~v198(constB42)) | (~((~v199(constB42)) | (~v200(constB42))))),
% 17.40/12.70 inference(tautology,[status(thm)],[])).
% 17.40/12.70 tff(37100,plain,
% 17.40/12.70 (~v198(constB42)),
% 17.40/12.70 inference(unit_resolution,[status(thm)],[37099, 37098, 37077])).
% 17.40/12.70 tff(37101,plain,
% 17.40/12.70 (((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB42) <=> (~((~v157(constB42)) | (~v195(constB42)))))) <=> ((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB42) <=> (~((~v157(constB42)) | (~v195(constB42))))))),
% 17.40/12.70 inference(rewrite,[status(thm)],[])).
% 17.40/12.70 tff(37102,plain,
% 17.40/12.70 ((v194(constB42) <=> (~((~v195(constB42)) | (~v157(constB42))))) <=> (v194(constB42) <=> (~((~v157(constB42)) | (~v195(constB42)))))),
% 17.40/12.70 inference(rewrite,[status(thm)],[])).
% 17.40/12.70 tff(37103,plain,
% 17.40/12.70 (((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB42) <=> (~((~v195(constB42)) | (~v157(constB42)))))) <=> ((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB42) <=> (~((~v157(constB42)) | (~v195(constB42))))))),
% 17.40/12.70 inference(monotonicity,[status(thm)],[37102])).
% 17.40/12.70 tff(37104,plain,
% 17.40/12.70 (((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB42) <=> (~((~v195(constB42)) | (~v157(constB42)))))) <=> ((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB42) <=> (~((~v157(constB42)) | (~v195(constB42))))))),
% 17.40/12.70 inference(transitivity,[status(thm)],[37103, 37101])).
% 17.40/12.70 tff(37105,plain,
% 17.40/12.70 ((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB42) <=> (~((~v195(constB42)) | (~v157(constB42)))))),
% 17.40/12.70 inference(quant_inst,[status(thm)],[])).
% 17.40/12.70 tff(37106,plain,
% 17.40/12.70 ((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB42) <=> (~((~v157(constB42)) | (~v195(constB42)))))),
% 17.40/12.70 inference(modus_ponens,[status(thm)],[37105, 37104])).
% 17.40/12.70 tff(37107,plain,
% 17.40/12.70 (v194(constB42) <=> (~((~v157(constB42)) | (~v195(constB42))))),
% 17.40/12.70 inference(unit_resolution,[status(thm)],[37106, 161])).
% 17.40/12.70 tff(37108,plain,
% 17.40/12.70 ((~![VarNext: $i] : (v157(VarNext) <=> v193(VarNext))) | (v157(constB42) <=> v193(constB42))),
% 17.40/12.70 inference(quant_inst,[status(thm)],[])).
% 17.40/12.70 tff(37109,plain,
% 17.40/12.70 (v157(constB42) <=> v193(constB42)),
% 17.49/12.70 inference(unit_resolution,[status(thm)],[37108, 13])).
% 17.49/12.70 tff(37110,plain,
% 17.49/12.70 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v193(VarNext) <=> v191(VarCurr)))) | ((~nextState(constB41, constB42)) | (v193(constB42) <=> v191(constB41)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v193(VarNext) <=> v191(VarCurr)))) | (~nextState(constB41, constB42)) | (v193(constB42) <=> v191(constB41)))),
% 17.49/12.70 inference(rewrite,[status(thm)],[])).
% 17.49/12.70 tff(37111,plain,
% 17.49/12.70 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v193(VarNext) <=> v191(VarCurr)))) | ((~nextState(constB41, constB42)) | (v193(constB42) <=> v191(constB41)))),
% 17.49/12.70 inference(quant_inst,[status(thm)],[])).
% 17.49/12.70 tff(37112,plain,
% 17.49/12.70 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v193(VarNext) <=> v191(VarCurr)))) | (~nextState(constB41, constB42)) | (v193(constB42) <=> v191(constB41))),
% 17.49/12.70 inference(modus_ponens,[status(thm)],[37111, 37110])).
% 17.49/12.70 tff(37113,plain,
% 17.49/12.70 (v193(constB42) <=> v191(constB41)),
% 17.49/12.70 inference(unit_resolution,[status(thm)],[37112, 3051, 70])).
% 17.49/12.70 tff(37114,plain,
% 17.49/12.70 ((~![VarCurr: $i] : (v191(VarCurr) <=> (v194(VarCurr) | v198(VarCurr)))) | (v191(constB41) <=> (v194(constB41) | v198(constB41)))),
% 17.49/12.70 inference(quant_inst,[status(thm)],[])).
% 17.49/12.70 tff(37115,plain,
% 17.49/12.70 (v191(constB41) <=> (v194(constB41) | v198(constB41))),
% 17.49/12.70 inference(unit_resolution,[status(thm)],[37114, 84])).
% 17.49/12.70 tff(37116,plain,
% 17.49/12.70 (((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB41) <=> (~((~v157(constB41)) | (~v195(constB41)))))) <=> ((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB41) <=> (~((~v157(constB41)) | (~v195(constB41))))))),
% 17.49/12.70 inference(rewrite,[status(thm)],[])).
% 17.49/12.70 tff(37117,plain,
% 17.49/12.70 ((v194(constB41) <=> (~((~v195(constB41)) | (~v157(constB41))))) <=> (v194(constB41) <=> (~((~v157(constB41)) | (~v195(constB41)))))),
% 17.49/12.70 inference(rewrite,[status(thm)],[])).
% 17.49/12.70 tff(37118,plain,
% 17.49/12.70 (((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB41) <=> (~((~v195(constB41)) | (~v157(constB41)))))) <=> ((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB41) <=> (~((~v157(constB41)) | (~v195(constB41))))))),
% 17.49/12.70 inference(monotonicity,[status(thm)],[37117])).
% 17.49/12.70 tff(37119,plain,
% 17.49/12.70 (((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB41) <=> (~((~v195(constB41)) | (~v157(constB41)))))) <=> ((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB41) <=> (~((~v157(constB41)) | (~v195(constB41))))))),
% 17.49/12.70 inference(transitivity,[status(thm)],[37118, 37116])).
% 17.49/12.70 tff(37120,plain,
% 17.49/12.70 ((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB41) <=> (~((~v195(constB41)) | (~v157(constB41)))))),
% 17.49/12.70 inference(quant_inst,[status(thm)],[])).
% 17.49/12.70 tff(37121,plain,
% 17.49/12.70 ((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB41) <=> (~((~v157(constB41)) | (~v195(constB41)))))),
% 17.49/12.70 inference(modus_ponens,[status(thm)],[37120, 37119])).
% 17.49/12.70 tff(37122,plain,
% 17.49/12.70 (v194(constB41) <=> (~((~v157(constB41)) | (~v195(constB41))))),
% 17.49/12.70 inference(unit_resolution,[status(thm)],[37121, 161])).
% 17.49/12.70 tff(37123,plain,
% 17.49/12.70 ((~![VarCurr: $i] : ((~v195(VarCurr)) <=> v196(VarCurr))) | ((~v195(constB41)) <=> v196(constB41))),
% 17.49/12.70 inference(quant_inst,[status(thm)],[])).
% 17.49/12.70 tff(37124,plain,
% 17.49/12.70 ((~v195(constB41)) <=> v196(constB41)),
% 17.49/12.70 inference(unit_resolution,[status(thm)],[37123, 193])).
% 17.49/12.70 tff(37125,plain,
% 17.49/12.70 ((~![VarCurr: $i] : (v196(VarCurr) <=> (v197(VarCurr) | v26(VarCurr)))) | (v196(constB41) <=> (v197(constB41) | v26(constB41)))),
% 17.49/12.70 inference(quant_inst,[status(thm)],[])).
% 17.49/12.70 tff(37126,plain,
% 17.49/12.70 (v196(constB41) <=> (v197(constB41) | v26(constB41))),
% 17.49/12.70 inference(unit_resolution,[status(thm)],[37125, 202])).
% 17.49/12.70 tff(37127,plain,
% 17.49/12.70 ((~![VarCurr: $i] : (v197(VarCurr) <=> (~((~v39(VarCurr)) | (~v9(VarCurr)))))) | (v197(constB41) <=> (~((~v39(constB41)) | (~v9(constB41)))))),
% 17.49/12.70 inference(quant_inst,[status(thm)],[])).
% 17.49/12.70 tff(37128,plain,
% 17.49/12.70 (v197(constB41) <=> (~((~v39(constB41)) | (~v9(constB41))))),
% 17.49/12.70 inference(unit_resolution,[status(thm)],[37127, 120])).
% 17.49/12.70 tff(37129,plain,
% 17.49/12.70 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | ((~nextState(constB41, constB42)) | (v13(constB42) <=> v9(constB41)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | (~nextState(constB41, constB42)) | (v13(constB42) <=> v9(constB41)))),
% 17.49/12.70 inference(rewrite,[status(thm)],[])).
% 17.49/12.70 tff(37130,plain,
% 17.49/12.70 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | ((~nextState(constB41, constB42)) | (v13(constB42) <=> v9(constB41)))),
% 17.49/12.70 inference(quant_inst,[status(thm)],[])).
% 17.49/12.70 tff(37131,plain,
% 17.49/12.70 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | (~nextState(constB41, constB42)) | (v13(constB42) <=> v9(constB41))),
% 17.49/12.70 inference(modus_ponens,[status(thm)],[37130, 37129])).
% 17.49/12.70 tff(37132,plain,
% 17.49/12.70 (v13(constB42) <=> v9(constB41)),
% 17.49/12.70 inference(unit_resolution,[status(thm)],[37131, 3051, 216])).
% 17.49/12.70 tff(37133,plain,
% 17.49/12.70 ((~![VarNext: $i] : (v6(VarNext) <=> v13(VarNext))) | (v6(constB42) <=> v13(constB42))),
% 17.49/12.70 inference(quant_inst,[status(thm)],[])).
% 17.49/12.70 tff(37134,plain,
% 17.49/12.70 (v6(constB42) <=> v13(constB42)),
% 17.49/12.70 inference(unit_resolution,[status(thm)],[37133, 230])).
% 17.49/12.70 tff(37135,plain,
% 17.49/12.70 ((~![VarCurr: $i] : ((~v21(VarCurr)) <=> v6(VarCurr))) | ((~v21(constB42)) <=> v6(constB42))),
% 17.49/12.70 inference(quant_inst,[status(thm)],[])).
% 17.49/12.70 tff(37136,plain,
% 17.49/12.70 ((~v21(constB42)) <=> v6(constB42)),
% 17.49/12.70 inference(unit_resolution,[status(thm)],[37135, 239])).
% 17.49/12.70 tff(37137,plain,
% 17.49/12.70 ((~![VarCurr: $i] : (v19(VarCurr) <=> (v20(VarCurr) | v21(VarCurr)))) | (v19(constB42) <=> (v20(constB42) | v21(constB42)))),
% 17.49/12.70 inference(quant_inst,[status(thm)],[])).
% 17.49/12.70 tff(37138,plain,
% 17.49/12.70 (v19(constB42) <=> (v20(constB42) | v21(constB42))),
% 17.49/12.70 inference(unit_resolution,[status(thm)],[37137, 248])).
% 17.49/12.70 tff(37139,plain,
% 17.49/12.70 ((~![VarCurr: $i] : (v18(VarCurr) <=> (~((~v19(VarCurr)) | (~v22(VarCurr)))))) | (v18(constB42) <=> (~((~v19(constB42)) | (~v22(constB42)))))),
% 17.49/12.70 inference(quant_inst,[status(thm)],[])).
% 17.49/12.70 tff(37140,plain,
% 17.49/12.70 (v18(constB42) <=> (~((~v19(constB42)) | (~v22(constB42))))),
% 17.49/12.70 inference(unit_resolution,[status(thm)],[37139, 260])).
% 17.49/12.70 tff(37141,plain,
% 17.49/12.70 ((~![VarCurr: $i] : ((~v4(VarCurr)) <=> v18(VarCurr))) | ((~v4(constB42)) <=> v18(constB42))),
% 17.49/12.70 inference(quant_inst,[status(thm)],[])).
% 17.49/12.70 tff(37142,plain,
% 17.49/12.70 ((~v4(constB42)) <=> v18(constB42)),
% 17.49/12.70 inference(unit_resolution,[status(thm)],[37141, 269])).
% 17.49/12.70 tff(37143,plain,
% 17.49/12.70 ((~![VarCurr: $i] : v4(VarCurr)) | v4(constB42)),
% 17.49/12.70 inference(quant_inst,[status(thm)],[])).
% 17.49/12.70 tff(37144,plain,
% 17.49/12.70 (v4(constB42)),
% 17.49/12.70 inference(unit_resolution,[status(thm)],[37143, 278])).
% 17.49/12.70 tff(37145,plain,
% 17.49/12.70 ((~((~v4(constB42)) <=> v18(constB42))) | (~v4(constB42)) | (~v18(constB42))),
% 17.49/12.70 inference(tautology,[status(thm)],[])).
% 17.49/12.70 tff(37146,plain,
% 17.49/12.70 (~v18(constB42)),
% 17.49/12.70 inference(unit_resolution,[status(thm)],[37145, 37144, 37142])).
% 17.49/12.70 tff(37147,plain,
% 17.49/12.70 ((~(v18(constB42) <=> (~((~v19(constB42)) | (~v22(constB42)))))) | v18(constB42) | ((~v19(constB42)) | (~v22(constB42)))),
% 17.49/12.70 inference(tautology,[status(thm)],[])).
% 17.49/12.70 tff(37148,plain,
% 17.49/12.70 ((~v19(constB42)) | (~v22(constB42))),
% 17.49/12.70 inference(unit_resolution,[status(thm)],[37147, 37146, 37140])).
% 17.49/12.70 tff(37149,plain,
% 17.49/12.70 ((~![VarCurr: $i] : (v22(VarCurr) <=> (v1(VarCurr) | v6(VarCurr)))) | (v22(constB42) <=> (v1(constB42) | v6(constB42)))),
% 17.49/12.70 inference(quant_inst,[status(thm)],[])).
% 17.49/12.70 tff(37150,plain,
% 17.49/12.70 (v22(constB42) <=> (v1(constB42) | v6(constB42))),
% 17.49/12.70 inference(unit_resolution,[status(thm)],[37149, 291])).
% 17.49/12.70 tff(37151,plain,
% 17.49/12.70 ((v1(constB42) | v6(constB42)) | (~v1(constB42))),
% 17.49/12.70 inference(tautology,[status(thm)],[])).
% 17.49/12.70 tff(37152,plain,
% 17.49/12.70 (v1(constB42) | v6(constB42)),
% 17.49/12.70 inference(unit_resolution,[status(thm)],[37151, 3081])).
% 17.49/12.70 tff(37153,plain,
% 17.49/12.70 ((~(v22(constB42) <=> (v1(constB42) | v6(constB42)))) | v22(constB42) | (~(v1(constB42) | v6(constB42)))),
% 17.49/12.70 inference(tautology,[status(thm)],[])).
% 17.49/12.70 tff(37154,plain,
% 17.49/12.70 ((~(v22(constB42) <=> (v1(constB42) | v6(constB42)))) | v22(constB42)),
% 17.49/12.70 inference(unit_resolution,[status(thm)],[37153, 37152])).
% 17.49/12.70 tff(37155,plain,
% 17.49/12.70 (v22(constB42)),
% 17.49/12.70 inference(unit_resolution,[status(thm)],[37154, 37150])).
% 17.49/12.70 tff(37156,plain,
% 17.49/12.70 ((~((~v19(constB42)) | (~v22(constB42)))) | (~v19(constB42)) | (~v22(constB42))),
% 17.49/12.70 inference(tautology,[status(thm)],[])).
% 17.49/12.70 tff(37157,plain,
% 17.49/12.70 ((~((~v19(constB42)) | (~v22(constB42)))) | (~v19(constB42))),
% 17.49/12.70 inference(unit_resolution,[status(thm)],[37156, 37155])).
% 17.49/12.70 tff(37158,plain,
% 17.49/12.70 (~v19(constB42)),
% 17.49/12.70 inference(unit_resolution,[status(thm)],[37157, 37148])).
% 17.49/12.70 tff(37159,plain,
% 17.49/12.70 ((~(v19(constB42) <=> (v20(constB42) | v21(constB42)))) | v19(constB42) | (~(v20(constB42) | v21(constB42)))),
% 17.49/12.70 inference(tautology,[status(thm)],[])).
% 17.49/12.70 tff(37160,plain,
% 17.49/12.70 (~(v20(constB42) | v21(constB42))),
% 17.49/12.70 inference(unit_resolution,[status(thm)],[37159, 37158, 37138])).
% 17.49/12.70 tff(37161,plain,
% 17.49/12.70 ((v20(constB42) | v21(constB42)) | (~v21(constB42))),
% 17.49/12.70 inference(tautology,[status(thm)],[])).
% 17.49/12.70 tff(37162,plain,
% 17.49/12.70 (~v21(constB42)),
% 17.49/12.70 inference(unit_resolution,[status(thm)],[37161, 37160])).
% 17.49/12.70 tff(37163,plain,
% 17.49/12.70 ((~((~v21(constB42)) <=> v6(constB42))) | v21(constB42) | v6(constB42)),
% 17.49/12.70 inference(tautology,[status(thm)],[])).
% 17.49/12.70 tff(37164,plain,
% 17.49/12.70 (v6(constB42)),
% 17.49/12.70 inference(unit_resolution,[status(thm)],[37163, 37162, 37136])).
% 17.49/12.70 tff(37165,plain,
% 17.49/12.70 ((~(v6(constB42) <=> v13(constB42))) | (~v6(constB42)) | v13(constB42)),
% 17.49/12.70 inference(tautology,[status(thm)],[])).
% 17.49/12.70 tff(37166,plain,
% 17.49/12.70 (v13(constB42)),
% 17.49/12.70 inference(unit_resolution,[status(thm)],[37165, 37164, 37134])).
% 17.49/12.70 tff(37167,plain,
% 17.49/12.70 ((~(v13(constB42) <=> v9(constB41))) | (~v13(constB42)) | v9(constB41)),
% 17.49/12.70 inference(tautology,[status(thm)],[])).
% 17.49/12.70 tff(37168,plain,
% 17.49/12.70 (v9(constB41)),
% 17.49/12.70 inference(unit_resolution,[status(thm)],[37167, 37166, 37132])).
% 17.49/12.70 tff(37169,plain,
% 17.49/12.70 ((~![VarCurr: $i] : ((~v39(VarCurr)) <=> v1(VarCurr))) | ((~v39(constB41)) <=> v1(constB41))),
% 17.49/12.70 inference(quant_inst,[status(thm)],[])).
% 17.49/12.70 tff(37170,plain,
% 17.49/12.70 ((~v39(constB41)) <=> v1(constB41)),
% 17.49/12.70 inference(unit_resolution,[status(thm)],[37169, 129])).
% 17.49/12.70 tff(37171,plain,
% 17.49/12.70 ((~((~v39(constB41)) <=> v1(constB41))) | v39(constB41) | v1(constB41)),
% 17.49/12.70 inference(tautology,[status(thm)],[])).
% 17.49/12.70 tff(37172,plain,
% 17.49/12.70 ((~((~v39(constB41)) <=> v1(constB41))) | v39(constB41)),
% 17.49/12.70 inference(unit_resolution,[status(thm)],[37171, 3073])).
% 17.49/12.70 tff(37173,plain,
% 17.49/12.70 (v39(constB41)),
% 17.49/12.70 inference(unit_resolution,[status(thm)],[37172, 37170])).
% 17.49/12.70 tff(37174,plain,
% 17.49/12.70 ((~((~v39(constB41)) | (~v9(constB41)))) | (~v39(constB41)) | (~v9(constB41))),
% 17.49/12.70 inference(tautology,[status(thm)],[])).
% 17.49/12.70 tff(37175,plain,
% 17.49/12.70 ((~((~v39(constB41)) | (~v9(constB41)))) | (~v9(constB41))),
% 17.49/12.70 inference(unit_resolution,[status(thm)],[37174, 37173])).
% 17.49/12.70 tff(37176,plain,
% 17.49/12.70 (~((~v39(constB41)) | (~v9(constB41)))),
% 17.49/12.70 inference(unit_resolution,[status(thm)],[37175, 37168])).
% 17.49/12.70 tff(37177,plain,
% 17.49/12.70 ((~(v197(constB41) <=> (~((~v39(constB41)) | (~v9(constB41)))))) | v197(constB41) | ((~v39(constB41)) | (~v9(constB41)))),
% 17.49/12.70 inference(tautology,[status(thm)],[])).
% 17.49/12.70 tff(37178,plain,
% 17.49/12.70 (v197(constB41)),
% 17.49/12.70 inference(unit_resolution,[status(thm)],[37177, 37176, 37128])).
% 17.49/12.70 tff(37179,plain,
% 17.49/12.70 ((v197(constB41) | v26(constB41)) | (~v197(constB41))),
% 17.49/12.70 inference(tautology,[status(thm)],[])).
% 17.49/12.70 tff(37180,plain,
% 17.49/12.70 (v197(constB41) | v26(constB41)),
% 17.49/12.70 inference(unit_resolution,[status(thm)],[37179, 37178])).
% 17.49/12.70 tff(37181,plain,
% 17.49/12.70 ((~(v196(constB41) <=> (v197(constB41) | v26(constB41)))) | v196(constB41) | (~(v197(constB41) | v26(constB41)))),
% 17.49/12.70 inference(tautology,[status(thm)],[])).
% 17.49/12.70 tff(37182,plain,
% 17.49/12.70 (v196(constB41)),
% 17.49/12.70 inference(unit_resolution,[status(thm)],[37181, 37180, 37126])).
% 17.49/12.70 tff(37183,plain,
% 17.49/12.70 ((~((~v195(constB41)) <=> v196(constB41))) | (~v195(constB41)) | (~v196(constB41))),
% 17.49/12.70 inference(tautology,[status(thm)],[])).
% 17.49/12.70 tff(37184,plain,
% 17.49/12.70 (~v195(constB41)),
% 17.49/12.70 inference(unit_resolution,[status(thm)],[37183, 37182, 37124])).
% 17.49/12.70 tff(37185,plain,
% 17.49/12.70 (((~v157(constB41)) | (~v195(constB41))) | v195(constB41)),
% 17.49/12.70 inference(tautology,[status(thm)],[])).
% 17.49/12.70 tff(37186,plain,
% 17.49/12.70 ((~v157(constB41)) | (~v195(constB41))),
% 17.49/12.70 inference(unit_resolution,[status(thm)],[37185, 37184])).
% 17.49/12.70 tff(37187,plain,
% 17.49/12.70 ((~(v194(constB41) <=> (~((~v157(constB41)) | (~v195(constB41)))))) | (~v194(constB41)) | (~((~v157(constB41)) | (~v195(constB41))))),
% 17.49/12.70 inference(tautology,[status(thm)],[])).
% 17.49/12.70 tff(37188,plain,
% 17.49/12.70 (~v194(constB41)),
% 17.49/12.70 inference(unit_resolution,[status(thm)],[37187, 37186, 37122])).
% 17.49/12.70 tff(37189,plain,
% 17.49/12.70 ((~![VarCurr: $i] : (v198(VarCurr) <=> (~((~v199(VarCurr)) | (~v200(VarCurr)))))) | (v198(constB41) <=> (~((~v199(constB41)) | (~v200(constB41)))))),
% 17.49/12.70 inference(quant_inst,[status(thm)],[])).
% 17.49/12.70 tff(37190,plain,
% 17.49/12.70 (v198(constB41) <=> (~((~v199(constB41)) | (~v200(constB41))))),
% 17.49/12.70 inference(unit_resolution,[status(thm)],[37189, 96])).
% 17.49/12.70 tff(37191,plain,
% 17.49/12.70 ((~![VarCurr: $i] : (v200(VarCurr) <=> (~((~v197(VarCurr)) | (~v201(VarCurr)))))) | (v200(constB41) <=> (~((~v197(constB41)) | (~v201(constB41)))))),
% 17.49/12.70 inference(quant_inst,[status(thm)],[])).
% 17.49/12.70 tff(37192,plain,
% 17.49/12.70 (v200(constB41) <=> (~((~v197(constB41)) | (~v201(constB41))))),
% 17.49/12.70 inference(unit_resolution,[status(thm)],[37191, 108])).
% 17.49/12.70 tff(37193,plain,
% 17.49/12.70 ((~![VarCurr: $i] : (v201(VarCurr) <=> (~((~v159(VarCurr)) | (~v161(VarCurr)))))) | (v201(constB41) <=> (~((~v159(constB41)) | (~v161(constB41)))))),
% 17.49/12.70 inference(quant_inst,[status(thm)],[])).
% 17.49/12.70 tff(37194,plain,
% 17.49/12.70 (v201(constB41) <=> (~((~v159(constB41)) | (~v161(constB41))))),
% 17.49/12.70 inference(unit_resolution,[status(thm)],[37193, 348])).
% 17.49/12.70 tff(37195,plain,
% 17.49/12.70 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v179(VarNext) <=> v180(VarNext)))) | ((~nextState(constB40, constB41)) | (v179(constB41) <=> v180(constB41)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v179(VarNext) <=> v180(VarNext)))) | (~nextState(constB40, constB41)) | (v179(constB41) <=> v180(constB41)))),
% 17.49/12.70 inference(rewrite,[status(thm)],[])).
% 17.49/12.70 tff(37196,plain,
% 17.49/12.70 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v179(VarNext) <=> v180(VarNext)))) | ((~nextState(constB40, constB41)) | (v179(constB41) <=> v180(constB41)))),
% 17.49/12.70 inference(quant_inst,[status(thm)],[])).
% 17.49/12.70 tff(37197,plain,
% 17.49/12.70 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v179(VarNext) <=> v180(VarNext)))) | (~nextState(constB40, constB41)) | (v179(constB41) <=> v180(constB41))),
% 17.49/12.70 inference(modus_ponens,[status(thm)],[37196, 37195])).
% 17.49/12.70 tff(37198,plain,
% 17.49/12.70 (v179(constB41) <=> v180(constB41)),
% 17.49/12.70 inference(unit_resolution,[status(thm)],[37197, 3112, 13536])).
% 17.49/12.70 tff(37199,plain,
% 17.49/12.70 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> (~((~v181(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB40, constB41)) | (v180(constB41) <=> (~((~v1(constB41)) | (~v181(constB41))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> (~((~v181(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB40, constB41)) | (v180(constB41) <=> (~((~v1(constB41)) | (~v181(constB41))))))),
% 17.49/12.70 inference(rewrite,[status(thm)],[])).
% 17.49/12.70 tff(37200,plain,
% 17.49/12.70 (((~nextState(constB40, constB41)) | (v180(constB41) <=> (~((~v181(constB41)) | (~v1(constB41)))))) <=> ((~nextState(constB40, constB41)) | (v180(constB41) <=> (~((~v1(constB41)) | (~v181(constB41))))))),
% 17.49/12.70 inference(rewrite,[status(thm)],[])).
% 17.49/12.70 tff(37201,plain,
% 17.49/12.70 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> (~((~v181(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB40, constB41)) | (v180(constB41) <=> (~((~v181(constB41)) | (~v1(constB41))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> (~((~v181(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB40, constB41)) | (v180(constB41) <=> (~((~v1(constB41)) | (~v181(constB41)))))))),
% 17.49/12.70 inference(monotonicity,[status(thm)],[37200])).
% 17.49/12.70 tff(37202,plain,
% 17.49/12.70 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> (~((~v181(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB40, constB41)) | (v180(constB41) <=> (~((~v181(constB41)) | (~v1(constB41))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> (~((~v181(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB40, constB41)) | (v180(constB41) <=> (~((~v1(constB41)) | (~v181(constB41))))))),
% 17.49/12.70 inference(transitivity,[status(thm)],[37201, 37199])).
% 17.49/12.70 tff(37203,plain,
% 17.49/12.70 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> (~((~v181(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB40, constB41)) | (v180(constB41) <=> (~((~v181(constB41)) | (~v1(constB41))))))),
% 17.49/12.70 inference(quant_inst,[status(thm)],[])).
% 17.49/12.70 tff(37204,plain,
% 17.49/12.70 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> (~((~v181(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB40, constB41)) | (v180(constB41) <=> (~((~v1(constB41)) | (~v181(constB41)))))),
% 17.49/12.71 inference(modus_ponens,[status(thm)],[37203, 37202])).
% 17.49/12.71 tff(37205,plain,
% 17.49/12.71 (v180(constB41) <=> (~((~v1(constB41)) | (~v181(constB41))))),
% 17.49/12.71 inference(unit_resolution,[status(thm)],[37204, 3112, 13556])).
% 17.49/12.71 tff(37206,plain,
% 17.49/12.71 (((~v1(constB41)) | (~v181(constB41))) | v1(constB41)),
% 17.49/12.71 inference(tautology,[status(thm)],[])).
% 17.49/12.71 tff(37207,plain,
% 17.49/12.71 ((~v1(constB41)) | (~v181(constB41))),
% 17.49/12.71 inference(unit_resolution,[status(thm)],[37206, 3073])).
% 17.49/12.71 tff(37208,plain,
% 17.49/12.71 ((~(v180(constB41) <=> (~((~v1(constB41)) | (~v181(constB41)))))) | (~v180(constB41)) | (~((~v1(constB41)) | (~v181(constB41))))),
% 17.49/12.71 inference(tautology,[status(thm)],[])).
% 17.49/12.71 tff(37209,plain,
% 17.49/12.71 ((~(v180(constB41) <=> (~((~v1(constB41)) | (~v181(constB41)))))) | (~v180(constB41))),
% 17.49/12.71 inference(unit_resolution,[status(thm)],[37208, 37207])).
% 17.49/12.71 tff(37210,plain,
% 17.49/12.71 (~v180(constB41)),
% 17.49/12.71 inference(unit_resolution,[status(thm)],[37209, 37205])).
% 17.49/12.71 tff(37211,plain,
% 17.49/12.71 ((~(v179(constB41) <=> v180(constB41))) | (~v179(constB41)) | v180(constB41)),
% 17.49/12.71 inference(tautology,[status(thm)],[])).
% 17.49/12.71 tff(37212,plain,
% 17.49/12.71 (~v179(constB41)),
% 17.49/12.71 inference(unit_resolution,[status(thm)],[37211, 37210, 37198])).
% 17.49/12.71 tff(37213,plain,
% 17.49/12.71 (((~![VarCurr: $i, VarNext: $i] : ((v159(VarNext) <=> v159(VarCurr)) | v179(VarNext) | (~nextState(VarCurr, VarNext)))) | ((~nextState(constB40, constB41)) | v179(constB41) | (v159(constB41) <=> v159(constB40)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((v159(VarNext) <=> v159(VarCurr)) | v179(VarNext) | (~nextState(VarCurr, VarNext)))) | (~nextState(constB40, constB41)) | v179(constB41) | (v159(constB41) <=> v159(constB40)))),
% 17.49/12.71 inference(rewrite,[status(thm)],[])).
% 17.49/12.71 tff(37214,plain,
% 17.49/12.71 (((v159(constB41) <=> v159(constB40)) | v179(constB41) | (~nextState(constB40, constB41))) <=> ((~nextState(constB40, constB41)) | v179(constB41) | (v159(constB41) <=> v159(constB40)))),
% 17.49/12.71 inference(rewrite,[status(thm)],[])).
% 17.49/12.71 tff(37215,plain,
% 17.49/12.71 (((~![VarCurr: $i, VarNext: $i] : ((v159(VarNext) <=> v159(VarCurr)) | v179(VarNext) | (~nextState(VarCurr, VarNext)))) | ((v159(constB41) <=> v159(constB40)) | v179(constB41) | (~nextState(constB40, constB41)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((v159(VarNext) <=> v159(VarCurr)) | v179(VarNext) | (~nextState(VarCurr, VarNext)))) | ((~nextState(constB40, constB41)) | v179(constB41) | (v159(constB41) <=> v159(constB40))))),
% 17.49/12.71 inference(monotonicity,[status(thm)],[37214])).
% 17.49/12.71 tff(37216,plain,
% 17.49/12.71 (((~![VarCurr: $i, VarNext: $i] : ((v159(VarNext) <=> v159(VarCurr)) | v179(VarNext) | (~nextState(VarCurr, VarNext)))) | ((v159(constB41) <=> v159(constB40)) | v179(constB41) | (~nextState(constB40, constB41)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((v159(VarNext) <=> v159(VarCurr)) | v179(VarNext) | (~nextState(VarCurr, VarNext)))) | (~nextState(constB40, constB41)) | v179(constB41) | (v159(constB41) <=> v159(constB40)))),
% 17.49/12.71 inference(transitivity,[status(thm)],[37215, 37213])).
% 17.49/12.71 tff(37217,plain,
% 17.49/12.71 ((~![VarCurr: $i, VarNext: $i] : ((v159(VarNext) <=> v159(VarCurr)) | v179(VarNext) | (~nextState(VarCurr, VarNext)))) | ((v159(constB41) <=> v159(constB40)) | v179(constB41) | (~nextState(constB40, constB41)))),
% 17.49/12.71 inference(quant_inst,[status(thm)],[])).
% 17.49/12.71 tff(37218,plain,
% 17.49/12.71 ((~![VarCurr: $i, VarNext: $i] : ((v159(VarNext) <=> v159(VarCurr)) | v179(VarNext) | (~nextState(VarCurr, VarNext)))) | (~nextState(constB40, constB41)) | v179(constB41) | (v159(constB41) <=> v159(constB40))),
% 17.49/12.71 inference(modus_ponens,[status(thm)],[37217, 37216])).
% 17.49/12.71 tff(37219,plain,
% 17.49/12.71 (v179(constB41) | (v159(constB41) <=> v159(constB40))),
% 17.49/12.71 inference(unit_resolution,[status(thm)],[37218, 3112, 13580])).
% 17.49/12.71 tff(37220,plain,
% 17.49/12.71 (v159(constB41) <=> v159(constB40)),
% 17.49/12.71 inference(unit_resolution,[status(thm)],[37219, 37212])).
% 17.49/12.71 tff(37221,plain,
% 17.49/12.71 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v179(VarNext) <=> v180(VarNext)))) | ((~nextState(constB39, constB40)) | (v179(constB40) <=> v180(constB40)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v179(VarNext) <=> v180(VarNext)))) | (~nextState(constB39, constB40)) | (v179(constB40) <=> v180(constB40)))),
% 17.49/12.71 inference(rewrite,[status(thm)],[])).
% 17.49/12.71 tff(37222,plain,
% 17.49/12.71 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v179(VarNext) <=> v180(VarNext)))) | ((~nextState(constB39, constB40)) | (v179(constB40) <=> v180(constB40)))),
% 17.49/12.71 inference(quant_inst,[status(thm)],[])).
% 17.49/12.71 tff(37223,plain,
% 17.49/12.71 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v179(VarNext) <=> v180(VarNext)))) | (~nextState(constB39, constB40)) | (v179(constB40) <=> v180(constB40))),
% 17.49/12.71 inference(modus_ponens,[status(thm)],[37222, 37221])).
% 17.49/12.71 tff(37224,plain,
% 17.49/12.71 (v179(constB40) <=> v180(constB40)),
% 17.49/12.71 inference(unit_resolution,[status(thm)],[37223, 3144, 13536])).
% 17.49/12.71 tff(37225,plain,
% 17.49/12.71 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> (~((~v181(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB39, constB40)) | (v180(constB40) <=> (~((~v1(constB40)) | (~v181(constB40))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> (~((~v181(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB39, constB40)) | (v180(constB40) <=> (~((~v1(constB40)) | (~v181(constB40))))))),
% 17.49/12.71 inference(rewrite,[status(thm)],[])).
% 17.49/12.71 tff(37226,plain,
% 17.49/12.71 (((~nextState(constB39, constB40)) | (v180(constB40) <=> (~((~v181(constB40)) | (~v1(constB40)))))) <=> ((~nextState(constB39, constB40)) | (v180(constB40) <=> (~((~v1(constB40)) | (~v181(constB40))))))),
% 17.49/12.71 inference(rewrite,[status(thm)],[])).
% 17.49/12.71 tff(37227,plain,
% 17.49/12.71 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> (~((~v181(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB39, constB40)) | (v180(constB40) <=> (~((~v181(constB40)) | (~v1(constB40))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> (~((~v181(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB39, constB40)) | (v180(constB40) <=> (~((~v1(constB40)) | (~v181(constB40)))))))),
% 17.49/12.71 inference(monotonicity,[status(thm)],[37226])).
% 17.49/12.71 tff(37228,plain,
% 17.49/12.71 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> (~((~v181(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB39, constB40)) | (v180(constB40) <=> (~((~v181(constB40)) | (~v1(constB40))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> (~((~v181(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB39, constB40)) | (v180(constB40) <=> (~((~v1(constB40)) | (~v181(constB40))))))),
% 17.49/12.71 inference(transitivity,[status(thm)],[37227, 37225])).
% 17.49/12.71 tff(37229,plain,
% 17.49/12.71 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> (~((~v181(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB39, constB40)) | (v180(constB40) <=> (~((~v181(constB40)) | (~v1(constB40))))))),
% 17.49/12.71 inference(quant_inst,[status(thm)],[])).
% 17.49/12.71 tff(37230,plain,
% 17.49/12.71 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> (~((~v181(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB39, constB40)) | (v180(constB40) <=> (~((~v1(constB40)) | (~v181(constB40)))))),
% 17.49/12.71 inference(modus_ponens,[status(thm)],[37229, 37228])).
% 17.49/12.71 tff(37231,plain,
% 17.49/12.71 (v180(constB40) <=> (~((~v1(constB40)) | (~v181(constB40))))),
% 17.49/12.71 inference(unit_resolution,[status(thm)],[37230, 3144, 13556])).
% 17.49/12.71 tff(37232,plain,
% 17.49/12.71 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v181(VarNext)) <=> v104(VarNext)))) | ((~nextState(constB39, constB40)) | ((~v181(constB40)) <=> v104(constB40)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v181(VarNext)) <=> v104(VarNext)))) | (~nextState(constB39, constB40)) | ((~v181(constB40)) <=> v104(constB40)))),
% 17.49/12.71 inference(rewrite,[status(thm)],[])).
% 17.49/12.71 tff(37233,plain,
% 17.49/12.71 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v181(VarNext)) <=> v104(VarNext)))) | ((~nextState(constB39, constB40)) | ((~v181(constB40)) <=> v104(constB40)))),
% 17.49/12.71 inference(quant_inst,[status(thm)],[])).
% 17.49/12.71 tff(37234,plain,
% 17.49/12.71 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v181(VarNext)) <=> v104(VarNext)))) | (~nextState(constB39, constB40)) | ((~v181(constB40)) <=> v104(constB40))),
% 17.49/12.71 inference(modus_ponens,[status(thm)],[37233, 37232])).
% 17.49/12.71 tff(37235,plain,
% 17.49/12.71 ((~v181(constB40)) <=> v104(constB40)),
% 17.49/12.71 inference(unit_resolution,[status(thm)],[37234, 3144, 13612])).
% 17.49/12.71 tff(37236,plain,
% 17.49/12.71 ((~((~v181(constB40)) <=> v104(constB40))) | v181(constB40) | v104(constB40)),
% 17.49/12.71 inference(tautology,[status(thm)],[])).
% 17.49/12.71 tff(37237,plain,
% 17.49/12.71 (v181(constB40)),
% 17.49/12.71 inference(unit_resolution,[status(thm)],[37236, 3169, 37235])).
% 17.49/12.71 tff(37238,plain,
% 17.49/12.71 ((~((~v1(constB40)) | (~v181(constB40)))) | (~v1(constB40)) | (~v181(constB40))),
% 17.49/12.71 inference(tautology,[status(thm)],[])).
% 17.49/12.71 tff(37239,plain,
% 17.49/12.71 ((~((~v1(constB40)) | (~v181(constB40)))) | (~v181(constB40))),
% 17.49/12.71 inference(unit_resolution,[status(thm)],[37238, 3174])).
% 17.49/12.71 tff(37240,plain,
% 17.49/12.71 (~((~v1(constB40)) | (~v181(constB40)))),
% 17.49/12.71 inference(unit_resolution,[status(thm)],[37239, 37237])).
% 17.49/12.71 tff(37241,plain,
% 17.49/12.71 ((~(v180(constB40) <=> (~((~v1(constB40)) | (~v181(constB40)))))) | v180(constB40) | ((~v1(constB40)) | (~v181(constB40)))),
% 17.49/12.71 inference(tautology,[status(thm)],[])).
% 17.49/12.71 tff(37242,plain,
% 17.49/12.71 (v180(constB40)),
% 17.49/12.71 inference(unit_resolution,[status(thm)],[37241, 37240, 37231])).
% 17.49/12.71 tff(37243,plain,
% 17.49/12.71 ((~(v179(constB40) <=> v180(constB40))) | v179(constB40) | (~v180(constB40))),
% 17.49/12.71 inference(tautology,[status(thm)],[])).
% 17.49/12.71 tff(37244,plain,
% 17.49/12.71 (v179(constB40)),
% 17.49/12.71 inference(unit_resolution,[status(thm)],[37243, 37242, 37224])).
% 17.49/12.71 tff(37245,plain,
% 17.49/12.71 (((~![VarNext: $i] : ((~v179(VarNext)) | (v159(VarNext) <=> v186(VarNext)))) | ((~v179(constB40)) | (v159(constB40) <=> v186(constB40)))) <=> ((~![VarNext: $i] : ((~v179(VarNext)) | (v159(VarNext) <=> v186(VarNext)))) | (~v179(constB40)) | (v159(constB40) <=> v186(constB40)))),
% 17.49/12.71 inference(rewrite,[status(thm)],[])).
% 17.49/12.71 tff(37246,plain,
% 17.49/12.71 ((~![VarNext: $i] : ((~v179(VarNext)) | (v159(VarNext) <=> v186(VarNext)))) | ((~v179(constB40)) | (v159(constB40) <=> v186(constB40)))),
% 17.49/12.71 inference(quant_inst,[status(thm)],[])).
% 17.49/12.71 tff(37247,plain,
% 17.49/12.71 ((~![VarNext: $i] : ((~v179(VarNext)) | (v159(VarNext) <=> v186(VarNext)))) | (~v179(constB40)) | (v159(constB40) <=> v186(constB40))),
% 17.49/12.71 inference(modus_ponens,[status(thm)],[37246, 37245])).
% 17.49/12.71 tff(37248,plain,
% 17.49/12.71 (v159(constB40) <=> v186(constB40)),
% 17.49/12.71 inference(unit_resolution,[status(thm)],[37247, 13648, 37244])).
% 17.49/12.71 tff(37249,plain,
% 17.49/12.71 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v186(VarNext) <=> v161(VarCurr)))) | ((~nextState(constB39, constB40)) | (v186(constB40) <=> v161(constB39)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v186(VarNext) <=> v161(VarCurr)))) | (~nextState(constB39, constB40)) | (v186(constB40) <=> v161(constB39)))),
% 17.49/12.71 inference(rewrite,[status(thm)],[])).
% 17.49/12.71 tff(37250,plain,
% 17.49/12.71 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v186(VarNext) <=> v161(VarCurr)))) | ((~nextState(constB39, constB40)) | (v186(constB40) <=> v161(constB39)))),
% 17.49/12.71 inference(quant_inst,[status(thm)],[])).
% 17.49/12.71 tff(37251,plain,
% 17.49/12.71 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v186(VarNext) <=> v161(VarCurr)))) | (~nextState(constB39, constB40)) | (v186(constB40) <=> v161(constB39))),
% 17.49/12.71 inference(modus_ponens,[status(thm)],[37250, 37249])).
% 17.49/12.71 tff(37252,plain,
% 17.49/12.71 (v186(constB40) <=> v161(constB39)),
% 17.49/12.71 inference(unit_resolution,[status(thm)],[37251, 3144, 13662])).
% 17.49/12.71 tff(37253,plain,
% 17.49/12.71 ((~![VarCurr: $i] : (v161(VarCurr) <=> v163(VarCurr))) | (v161(constB39) <=> v163(constB39))),
% 17.49/12.71 inference(quant_inst,[status(thm)],[])).
% 17.49/12.71 tff(37254,plain,
% 17.49/12.71 (v161(constB39) <=> v163(constB39)),
% 17.49/12.71 inference(unit_resolution,[status(thm)],[37253, 357])).
% 17.49/12.71 tff(37255,plain,
% 17.49/12.71 ((~![VarCurr: $i] : (v171(VarCurr) <=> (v142(VarCurr) | v150(VarCurr)))) | (v171(constB39) <=> (v142(constB39) | v150(constB39)))),
% 17.49/12.71 inference(quant_inst,[status(thm)],[])).
% 17.49/12.71 tff(37256,plain,
% 17.49/12.71 (v171(constB39) <=> (v142(constB39) | v150(constB39))),
% 17.49/12.71 inference(unit_resolution,[status(thm)],[37255, 369])).
% 17.49/12.71 tff(37257,plain,
% 17.49/12.71 ((~![VarCurr: $i] : (v142(VarCurr) <=> (v143(VarCurr) | v144(VarCurr)))) | (v142(constB39) <=> (v143(constB39) | v144(constB39)))),
% 17.49/12.71 inference(quant_inst,[status(thm)],[])).
% 17.49/12.71 tff(37258,plain,
% 17.49/12.71 (v142(constB39) <=> (v143(constB39) | v144(constB39))),
% 17.49/12.71 inference(unit_resolution,[status(thm)],[37257, 378])).
% 17.49/12.71 tff(37259,plain,
% 17.49/12.71 (((~![VarCurr: $i] : (v143(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)))))) | (v143(constB39) <=> (~(v88(constB39, bitIndex2) | (~v88(constB39, bitIndex1)) | v88(constB39, bitIndex0))))) <=> ((~![VarCurr: $i] : (v143(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)))))) | (v143(constB39) <=> (~(v88(constB39, bitIndex2) | (~v88(constB39, bitIndex1)) | v88(constB39, bitIndex0)))))),
% 17.49/12.71 inference(rewrite,[status(thm)],[])).
% 17.49/12.71 tff(37260,plain,
% 17.49/12.71 ((v143(constB39) <=> (~(v88(constB39, bitIndex0) | v88(constB39, bitIndex2) | (~v88(constB39, bitIndex1))))) <=> (v143(constB39) <=> (~(v88(constB39, bitIndex2) | (~v88(constB39, bitIndex1)) | v88(constB39, bitIndex0))))),
% 17.49/12.71 inference(rewrite,[status(thm)],[])).
% 17.49/12.71 tff(37261,plain,
% 17.49/12.71 (((~![VarCurr: $i] : (v143(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)))))) | (v143(constB39) <=> (~(v88(constB39, bitIndex0) | v88(constB39, bitIndex2) | (~v88(constB39, bitIndex1)))))) <=> ((~![VarCurr: $i] : (v143(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)))))) | (v143(constB39) <=> (~(v88(constB39, bitIndex2) | (~v88(constB39, bitIndex1)) | v88(constB39, bitIndex0)))))),
% 17.49/12.71 inference(monotonicity,[status(thm)],[37260])).
% 17.49/12.71 tff(37262,plain,
% 17.49/12.71 (((~![VarCurr: $i] : (v143(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)))))) | (v143(constB39) <=> (~(v88(constB39, bitIndex0) | v88(constB39, bitIndex2) | (~v88(constB39, bitIndex1)))))) <=> ((~![VarCurr: $i] : (v143(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)))))) | (v143(constB39) <=> (~(v88(constB39, bitIndex2) | (~v88(constB39, bitIndex1)) | v88(constB39, bitIndex0)))))),
% 17.49/12.71 inference(transitivity,[status(thm)],[37261, 37259])).
% 17.49/12.71 tff(37263,plain,
% 17.49/12.71 ((~![VarCurr: $i] : (v143(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)))))) | (v143(constB39) <=> (~(v88(constB39, bitIndex0) | v88(constB39, bitIndex2) | (~v88(constB39, bitIndex1)))))),
% 17.49/12.71 inference(quant_inst,[status(thm)],[])).
% 17.49/12.71 tff(37264,plain,
% 17.49/12.71 ((~![VarCurr: $i] : (v143(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)))))) | (v143(constB39) <=> (~(v88(constB39, bitIndex2) | (~v88(constB39, bitIndex1)) | v88(constB39, bitIndex0))))),
% 17.49/12.71 inference(modus_ponens,[status(thm)],[37263, 37262])).
% 17.49/12.71 tff(37265,plain,
% 17.49/12.71 (v143(constB39) <=> (~(v88(constB39, bitIndex2) | (~v88(constB39, bitIndex1)) | v88(constB39, bitIndex0)))),
% 17.49/12.71 inference(unit_resolution,[status(thm)],[37264, 20665])).
% 17.49/12.71 tff(37266,plain,
% 17.49/12.71 (((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | ((~less_3(bitIndex2)) | (v88(constB39, bitIndex2) <=> v90(constB39, bitIndex2)))) <=> ((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | (~less_3(bitIndex2)) | (v88(constB39, bitIndex2) <=> v90(constB39, bitIndex2)))),
% 17.49/12.71 inference(rewrite,[status(thm)],[])).
% 17.49/12.71 tff(37267,plain,
% 17.49/12.71 ((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | ((~less_3(bitIndex2)) | (v88(constB39, bitIndex2) <=> v90(constB39, bitIndex2)))),
% 17.49/12.71 inference(quant_inst,[status(thm)],[])).
% 17.49/12.71 tff(37268,plain,
% 17.49/12.71 ((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | (~less_3(bitIndex2)) | (v88(constB39, bitIndex2) <=> v90(constB39, bitIndex2))),
% 17.49/12.72 inference(modus_ponens,[status(thm)],[37267, 37266])).
% 17.49/12.72 tff(37269,plain,
% 17.49/12.72 (v88(constB39, bitIndex2) <=> v90(constB39, bitIndex2)),
% 17.49/12.72 inference(unit_resolution,[status(thm)],[37268, 413, 410])).
% 17.49/12.72 tff(37270,plain,
% 17.49/12.72 ((~(v88(constB39, bitIndex2) <=> v90(constB39, bitIndex2))) | (~v88(constB39, bitIndex2)) | v90(constB39, bitIndex2)),
% 17.49/12.72 inference(tautology,[status(thm)],[])).
% 17.49/12.72 tff(37271,plain,
% 17.49/12.72 (~v88(constB39, bitIndex2)),
% 17.49/12.72 inference(unit_resolution,[status(thm)],[37270, 8351, 37269])).
% 17.49/12.72 tff(37272,plain,
% 17.49/12.72 (((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | ((~less_3(bitIndex0)) | (v88(constB39, bitIndex0) <=> v90(constB39, bitIndex0)))) <=> ((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | (~less_3(bitIndex0)) | (v88(constB39, bitIndex0) <=> v90(constB39, bitIndex0)))),
% 17.49/12.72 inference(rewrite,[status(thm)],[])).
% 17.49/12.72 tff(37273,plain,
% 17.49/12.72 ((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | ((~less_3(bitIndex0)) | (v88(constB39, bitIndex0) <=> v90(constB39, bitIndex0)))),
% 17.49/12.72 inference(quant_inst,[status(thm)],[])).
% 17.49/12.72 tff(37274,plain,
% 17.49/12.72 ((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | (~less_3(bitIndex0)) | (v88(constB39, bitIndex0) <=> v90(constB39, bitIndex0))),
% 17.49/12.72 inference(modus_ponens,[status(thm)],[37273, 37272])).
% 17.49/12.72 tff(37275,plain,
% 17.49/12.72 (v88(constB39, bitIndex0) <=> v90(constB39, bitIndex0)),
% 17.49/12.72 inference(unit_resolution,[status(thm)],[37274, 5004, 410])).
% 17.49/12.72 tff(37276,plain,
% 17.49/12.72 ((~(v88(constB39, bitIndex0) <=> v90(constB39, bitIndex0))) | (~v88(constB39, bitIndex0)) | v90(constB39, bitIndex0)),
% 17.49/12.72 inference(tautology,[status(thm)],[])).
% 17.49/12.72 tff(37277,plain,
% 17.49/12.72 (~v88(constB39, bitIndex0)),
% 17.49/12.72 inference(unit_resolution,[status(thm)],[37276, 8382, 37275])).
% 17.49/12.72 tff(37278,plain,
% 17.49/12.72 (((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | ((~less_3(bitIndex1)) | (v88(constB39, bitIndex1) <=> v90(constB39, bitIndex1)))) <=> ((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | (~less_3(bitIndex1)) | (v88(constB39, bitIndex1) <=> v90(constB39, bitIndex1)))),
% 17.49/12.72 inference(rewrite,[status(thm)],[])).
% 17.49/12.72 tff(37279,plain,
% 17.49/12.72 ((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | ((~less_3(bitIndex1)) | (v88(constB39, bitIndex1) <=> v90(constB39, bitIndex1)))),
% 17.49/12.72 inference(quant_inst,[status(thm)],[])).
% 17.49/12.72 tff(37280,plain,
% 17.49/12.72 ((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | (~less_3(bitIndex1)) | (v88(constB39, bitIndex1) <=> v90(constB39, bitIndex1))),
% 17.49/12.72 inference(modus_ponens,[status(thm)],[37279, 37278])).
% 17.49/12.72 tff(37281,plain,
% 17.49/12.72 (v88(constB39, bitIndex1) <=> v90(constB39, bitIndex1)),
% 17.49/12.72 inference(unit_resolution,[status(thm)],[37280, 5017, 410])).
% 17.49/12.72 tff(37282,plain,
% 17.49/12.72 ((~(v88(constB39, bitIndex1) <=> v90(constB39, bitIndex1))) | v88(constB39, bitIndex1) | (~v90(constB39, bitIndex1))),
% 17.49/12.72 inference(tautology,[status(thm)],[])).
% 17.49/12.72 tff(37283,plain,
% 17.49/12.72 (v88(constB39, bitIndex1)),
% 17.49/12.72 inference(unit_resolution,[status(thm)],[37282, 8413, 37281])).
% 17.49/12.72 tff(37284,plain,
% 17.49/12.72 ((~(v88(constB39, bitIndex2) | (~v88(constB39, bitIndex1)) | v88(constB39, bitIndex0))) | v88(constB39, bitIndex2) | (~v88(constB39, bitIndex1)) | v88(constB39, bitIndex0)),
% 17.49/12.72 inference(tautology,[status(thm)],[])).
% 17.49/12.72 tff(37285,plain,
% 17.49/12.72 (~(v88(constB39, bitIndex2) | (~v88(constB39, bitIndex1)) | v88(constB39, bitIndex0))),
% 17.49/12.72 inference(unit_resolution,[status(thm)],[37284, 37283, 37277, 37271])).
% 17.49/12.72 tff(37286,plain,
% 17.49/12.72 ((~(v143(constB39) <=> (~(v88(constB39, bitIndex2) | (~v88(constB39, bitIndex1)) | v88(constB39, bitIndex0))))) | v143(constB39) | (v88(constB39, bitIndex2) | (~v88(constB39, bitIndex1)) | v88(constB39, bitIndex0))),
% 17.49/12.72 inference(tautology,[status(thm)],[])).
% 17.49/12.72 tff(37287,plain,
% 17.49/12.72 (v143(constB39)),
% 17.49/12.72 inference(unit_resolution,[status(thm)],[37286, 37285, 37265])).
% 17.49/12.72 tff(37288,plain,
% 17.49/12.72 ((v143(constB39) | v144(constB39)) | (~v143(constB39))),
% 17.49/12.72 inference(tautology,[status(thm)],[])).
% 17.49/12.72 tff(37289,plain,
% 17.49/12.72 (v143(constB39) | v144(constB39)),
% 17.49/12.72 inference(unit_resolution,[status(thm)],[37288, 37287])).
% 17.49/12.72 tff(37290,plain,
% 17.49/12.72 ((~(v142(constB39) <=> (v143(constB39) | v144(constB39)))) | v142(constB39) | (~(v143(constB39) | v144(constB39)))),
% 17.49/12.72 inference(tautology,[status(thm)],[])).
% 17.49/12.72 tff(37291,plain,
% 17.49/12.72 (v142(constB39)),
% 17.49/12.72 inference(unit_resolution,[status(thm)],[37290, 37289, 37258])).
% 17.49/12.72 tff(37292,plain,
% 17.49/12.72 ((v142(constB39) | v150(constB39)) | (~v142(constB39))),
% 17.49/12.72 inference(tautology,[status(thm)],[])).
% 17.49/12.72 tff(37293,plain,
% 17.49/12.72 (v142(constB39) | v150(constB39)),
% 17.49/12.72 inference(unit_resolution,[status(thm)],[37292, 37291])).
% 17.49/12.72 tff(37294,plain,
% 17.49/12.72 ((~(v171(constB39) <=> (v142(constB39) | v150(constB39)))) | v171(constB39) | (~(v142(constB39) | v150(constB39)))),
% 17.49/12.72 inference(tautology,[status(thm)],[])).
% 17.49/12.72 tff(37295,plain,
% 17.49/12.72 (v171(constB39)),
% 17.49/12.72 inference(unit_resolution,[status(thm)],[37294, 37293, 37256])).
% 17.49/12.72 tff(37296,plain,
% 17.49/12.72 (((~![VarCurr: $i] : ((~v171(VarCurr)) | (~v170(VarCurr)))) | ((~v170(constB39)) | (~v171(constB39)))) <=> ((~![VarCurr: $i] : ((~v171(VarCurr)) | (~v170(VarCurr)))) | (~v170(constB39)) | (~v171(constB39)))),
% 17.49/12.72 inference(rewrite,[status(thm)],[])).
% 17.49/12.72 tff(37297,plain,
% 17.49/12.72 (((~v171(constB39)) | (~v170(constB39))) <=> ((~v170(constB39)) | (~v171(constB39)))),
% 17.49/12.72 inference(rewrite,[status(thm)],[])).
% 17.49/12.72 tff(37298,plain,
% 17.49/12.72 (((~![VarCurr: $i] : ((~v171(VarCurr)) | (~v170(VarCurr)))) | ((~v171(constB39)) | (~v170(constB39)))) <=> ((~![VarCurr: $i] : ((~v171(VarCurr)) | (~v170(VarCurr)))) | ((~v170(constB39)) | (~v171(constB39))))),
% 17.49/12.72 inference(monotonicity,[status(thm)],[37297])).
% 17.49/12.72 tff(37299,plain,
% 17.49/12.72 (((~![VarCurr: $i] : ((~v171(VarCurr)) | (~v170(VarCurr)))) | ((~v171(constB39)) | (~v170(constB39)))) <=> ((~![VarCurr: $i] : ((~v171(VarCurr)) | (~v170(VarCurr)))) | (~v170(constB39)) | (~v171(constB39)))),
% 17.49/12.72 inference(transitivity,[status(thm)],[37298, 37296])).
% 17.49/12.72 tff(37300,plain,
% 17.49/12.72 ((~![VarCurr: $i] : ((~v171(VarCurr)) | (~v170(VarCurr)))) | ((~v171(constB39)) | (~v170(constB39)))),
% 17.49/12.72 inference(quant_inst,[status(thm)],[])).
% 17.49/12.72 tff(37301,plain,
% 17.49/12.72 ((~![VarCurr: $i] : ((~v171(VarCurr)) | (~v170(VarCurr)))) | (~v170(constB39)) | (~v171(constB39))),
% 17.49/12.72 inference(modus_ponens,[status(thm)],[37300, 37299])).
% 17.49/12.72 tff(37302,plain,
% 17.49/12.72 ((~v170(constB39)) | (~v171(constB39))),
% 17.49/12.72 inference(unit_resolution,[status(thm)],[37301, 13061])).
% 17.49/12.72 tff(37303,plain,
% 17.49/12.72 (~v170(constB39)),
% 17.49/12.72 inference(unit_resolution,[status(thm)],[37302, 37295])).
% 17.49/12.72 tff(37304,plain,
% 17.49/12.72 ((~![VarCurr: $i] : (v166(VarCurr) <=> (v145(VarCurr) | v167(VarCurr)))) | (v166(constB39) <=> (v145(constB39) | v167(constB39)))),
% 17.49/12.72 inference(quant_inst,[status(thm)],[])).
% 17.49/12.72 tff(37305,plain,
% 17.49/12.72 (v166(constB39) <=> (v145(constB39) | v167(constB39))),
% 17.49/12.72 inference(unit_resolution,[status(thm)],[37304, 13079])).
% 17.49/12.72 tff(37306,plain,
% 17.49/12.72 ((~![VarCurr: $i] : (v167(VarCurr) <=> (v142(VarCurr) | v168(VarCurr)))) | (v167(constB39) <=> (v142(constB39) | v168(constB39)))),
% 17.49/12.72 inference(quant_inst,[status(thm)],[])).
% 17.49/12.72 tff(37307,plain,
% 17.49/12.72 (v167(constB39) <=> (v142(constB39) | v168(constB39))),
% 17.49/12.72 inference(unit_resolution,[status(thm)],[37306, 13091])).
% 17.49/12.72 tff(37308,plain,
% 17.49/12.72 ((v142(constB39) | v168(constB39)) | (~v142(constB39))),
% 17.49/12.72 inference(tautology,[status(thm)],[])).
% 17.49/12.72 tff(37309,plain,
% 17.49/12.72 (v142(constB39) | v168(constB39)),
% 17.49/12.72 inference(unit_resolution,[status(thm)],[37308, 37291])).
% 17.49/12.72 tff(37310,plain,
% 17.49/12.72 ((~(v167(constB39) <=> (v142(constB39) | v168(constB39)))) | v167(constB39) | (~(v142(constB39) | v168(constB39)))),
% 17.49/12.72 inference(tautology,[status(thm)],[])).
% 17.49/12.72 tff(37311,plain,
% 17.49/12.72 (v167(constB39)),
% 17.49/12.72 inference(unit_resolution,[status(thm)],[37310, 37309, 37307])).
% 17.49/12.72 tff(37312,plain,
% 17.49/12.72 ((v145(constB39) | v167(constB39)) | (~v167(constB39))),
% 17.49/12.72 inference(tautology,[status(thm)],[])).
% 17.49/12.72 tff(37313,plain,
% 17.49/12.72 (v145(constB39) | v167(constB39)),
% 17.49/12.72 inference(unit_resolution,[status(thm)],[37312, 37311])).
% 17.49/12.72 tff(37314,plain,
% 17.49/12.72 ((~(v166(constB39) <=> (v145(constB39) | v167(constB39)))) | v166(constB39) | (~(v145(constB39) | v167(constB39)))),
% 17.49/12.72 inference(tautology,[status(thm)],[])).
% 17.49/12.72 tff(37315,plain,
% 17.49/12.72 (v166(constB39)),
% 17.49/12.72 inference(unit_resolution,[status(thm)],[37314, 37313, 37305])).
% 17.49/12.72 tff(37316,plain,
% 17.49/12.72 (((~![VarNext: $i] : ((~v166(VarNext)) | (v163(VarNext) <=> v170(VarNext)))) | ((~v166(constB39)) | (v163(constB39) <=> v170(constB39)))) <=> ((~![VarNext: $i] : ((~v166(VarNext)) | (v163(VarNext) <=> v170(VarNext)))) | (~v166(constB39)) | (v163(constB39) <=> v170(constB39)))),
% 17.49/12.72 inference(rewrite,[status(thm)],[])).
% 17.49/12.72 tff(37317,plain,
% 17.49/12.72 ((~![VarNext: $i] : ((~v166(VarNext)) | (v163(VarNext) <=> v170(VarNext)))) | ((~v166(constB39)) | (v163(constB39) <=> v170(constB39)))),
% 17.49/12.72 inference(quant_inst,[status(thm)],[])).
% 17.49/12.72 tff(37318,plain,
% 17.49/12.72 ((~![VarNext: $i] : ((~v166(VarNext)) | (v163(VarNext) <=> v170(VarNext)))) | (~v166(constB39)) | (v163(constB39) <=> v170(constB39))),
% 17.49/12.72 inference(modus_ponens,[status(thm)],[37317, 37316])).
% 17.49/12.72 tff(37319,plain,
% 17.49/12.72 ((~v166(constB39)) | (v163(constB39) <=> v170(constB39))),
% 17.49/12.72 inference(unit_resolution,[status(thm)],[37318, 13111])).
% 17.49/12.72 tff(37320,plain,
% 17.49/12.72 (v163(constB39) <=> v170(constB39)),
% 17.49/12.72 inference(unit_resolution,[status(thm)],[37319, 37315])).
% 17.49/12.72 tff(37321,plain,
% 17.49/12.72 ((~(v163(constB39) <=> v170(constB39))) | (~v163(constB39)) | v170(constB39)),
% 17.49/12.72 inference(tautology,[status(thm)],[])).
% 17.49/12.72 tff(37322,plain,
% 17.49/12.72 (~v163(constB39)),
% 17.49/12.72 inference(unit_resolution,[status(thm)],[37321, 37320, 37303])).
% 17.49/12.72 tff(37323,plain,
% 17.49/12.72 ((~(v161(constB39) <=> v163(constB39))) | (~v161(constB39)) | v163(constB39)),
% 17.49/12.72 inference(tautology,[status(thm)],[])).
% 17.49/12.72 tff(37324,plain,
% 17.49/12.72 (~v161(constB39)),
% 17.49/12.72 inference(unit_resolution,[status(thm)],[37323, 37322, 37254])).
% 17.49/12.72 tff(37325,plain,
% 17.49/12.72 ((~(v186(constB40) <=> v161(constB39))) | (~v186(constB40)) | v161(constB39)),
% 17.49/12.72 inference(tautology,[status(thm)],[])).
% 17.49/12.72 tff(37326,plain,
% 17.49/12.72 (~v186(constB40)),
% 17.49/12.72 inference(unit_resolution,[status(thm)],[37325, 37324, 37252])).
% 17.49/12.72 tff(37327,plain,
% 17.49/12.72 ((~(v159(constB40) <=> v186(constB40))) | (~v159(constB40)) | v186(constB40)),
% 17.49/12.72 inference(tautology,[status(thm)],[])).
% 17.49/12.72 tff(37328,plain,
% 17.49/12.72 (~v159(constB40)),
% 17.49/12.72 inference(unit_resolution,[status(thm)],[37327, 37326, 37248])).
% 17.49/12.72 tff(37329,plain,
% 17.49/12.72 ((~(v159(constB41) <=> v159(constB40))) | (~v159(constB41)) | v159(constB40)),
% 17.49/12.72 inference(tautology,[status(thm)],[])).
% 17.49/12.72 tff(37330,plain,
% 17.49/12.72 (~v159(constB41)),
% 17.49/12.72 inference(unit_resolution,[status(thm)],[37329, 37328, 37220])).
% 17.49/12.72 tff(37331,plain,
% 17.49/12.72 (((~v159(constB41)) | (~v161(constB41))) | v159(constB41)),
% 17.49/12.72 inference(tautology,[status(thm)],[])).
% 17.49/12.72 tff(37332,plain,
% 17.49/12.72 ((~v159(constB41)) | (~v161(constB41))),
% 17.49/12.72 inference(unit_resolution,[status(thm)],[37331, 37330])).
% 17.49/12.72 tff(37333,plain,
% 17.49/12.72 ((~(v201(constB41) <=> (~((~v159(constB41)) | (~v161(constB41)))))) | (~v201(constB41)) | (~((~v159(constB41)) | (~v161(constB41))))),
% 17.49/12.72 inference(tautology,[status(thm)],[])).
% 17.49/12.72 tff(37334,plain,
% 17.49/12.72 (~v201(constB41)),
% 17.49/12.72 inference(unit_resolution,[status(thm)],[37333, 37332, 37194])).
% 17.49/12.72 tff(37335,plain,
% 17.49/12.72 (((~v197(constB41)) | (~v201(constB41))) | v201(constB41)),
% 17.49/12.72 inference(tautology,[status(thm)],[])).
% 17.49/12.72 tff(37336,plain,
% 17.49/12.72 ((~v197(constB41)) | (~v201(constB41))),
% 17.49/12.72 inference(unit_resolution,[status(thm)],[37335, 37334])).
% 17.49/12.72 tff(37337,plain,
% 17.49/12.72 ((~(v200(constB41) <=> (~((~v197(constB41)) | (~v201(constB41)))))) | (~v200(constB41)) | (~((~v197(constB41)) | (~v201(constB41))))),
% 17.49/12.72 inference(tautology,[status(thm)],[])).
% 17.49/12.72 tff(37338,plain,
% 17.49/12.72 (~v200(constB41)),
% 17.49/12.72 inference(unit_resolution,[status(thm)],[37337, 37336, 37192])).
% 17.49/12.72 tff(37339,plain,
% 17.49/12.72 (((~v199(constB41)) | (~v200(constB41))) | v200(constB41)),
% 17.49/12.72 inference(tautology,[status(thm)],[])).
% 17.49/12.72 tff(37340,plain,
% 17.49/12.72 ((~v199(constB41)) | (~v200(constB41))),
% 17.49/12.72 inference(unit_resolution,[status(thm)],[37339, 37338])).
% 17.49/12.72 tff(37341,plain,
% 17.49/12.72 ((~(v198(constB41) <=> (~((~v199(constB41)) | (~v200(constB41)))))) | (~v198(constB41)) | (~((~v199(constB41)) | (~v200(constB41))))),
% 17.49/12.72 inference(tautology,[status(thm)],[])).
% 17.49/12.72 tff(37342,plain,
% 17.49/12.72 (~v198(constB41)),
% 17.49/12.72 inference(unit_resolution,[status(thm)],[37341, 37340, 37190])).
% 17.49/12.72 tff(37343,plain,
% 17.49/12.72 ((~(v194(constB41) | v198(constB41))) | v194(constB41) | v198(constB41)),
% 17.49/12.72 inference(tautology,[status(thm)],[])).
% 17.49/12.72 tff(37344,plain,
% 17.49/12.72 (~(v194(constB41) | v198(constB41))),
% 17.49/12.72 inference(unit_resolution,[status(thm)],[37343, 37342, 37188])).
% 17.49/12.72 tff(37345,plain,
% 17.49/12.72 ((~(v191(constB41) <=> (v194(constB41) | v198(constB41)))) | (~v191(constB41)) | (v194(constB41) | v198(constB41))),
% 17.49/12.72 inference(tautology,[status(thm)],[])).
% 17.49/12.72 tff(37346,plain,
% 17.49/12.72 (~v191(constB41)),
% 17.49/12.72 inference(unit_resolution,[status(thm)],[37345, 37344, 37115])).
% 17.49/12.72 tff(37347,plain,
% 17.49/12.72 ((~(v193(constB42) <=> v191(constB41))) | (~v193(constB42)) | v191(constB41)),
% 17.49/12.72 inference(tautology,[status(thm)],[])).
% 17.49/12.72 tff(37348,plain,
% 17.49/12.72 (~v193(constB42)),
% 17.49/12.72 inference(unit_resolution,[status(thm)],[37347, 37346, 37113])).
% 17.49/12.72 tff(37349,plain,
% 17.49/12.72 ((~(v157(constB42) <=> v193(constB42))) | (~v157(constB42)) | v193(constB42)),
% 17.49/12.72 inference(tautology,[status(thm)],[])).
% 17.49/12.72 tff(37350,plain,
% 17.49/12.72 (~v157(constB42)),
% 17.49/12.72 inference(unit_resolution,[status(thm)],[37349, 37348, 37109])).
% 17.49/12.72 tff(37351,plain,
% 17.49/12.72 (((~v157(constB42)) | (~v195(constB42))) | v157(constB42)),
% 17.49/12.72 inference(tautology,[status(thm)],[])).
% 17.49/12.72 tff(37352,plain,
% 17.49/12.72 ((~v157(constB42)) | (~v195(constB42))),
% 17.49/12.72 inference(unit_resolution,[status(thm)],[37351, 37350])).
% 17.49/12.72 tff(37353,plain,
% 17.49/12.72 ((~(v194(constB42) <=> (~((~v157(constB42)) | (~v195(constB42)))))) | (~v194(constB42)) | (~((~v157(constB42)) | (~v195(constB42))))),
% 17.49/12.72 inference(tautology,[status(thm)],[])).
% 17.49/12.72 tff(37354,plain,
% 17.49/12.72 (~v194(constB42)),
% 17.49/12.72 inference(unit_resolution,[status(thm)],[37353, 37352, 37107])).
% 17.49/12.72 tff(37355,plain,
% 17.49/12.72 ((~(v194(constB42) | v198(constB42))) | v194(constB42) | v198(constB42)),
% 17.49/12.72 inference(tautology,[status(thm)],[])).
% 17.49/12.72 tff(37356,plain,
% 17.49/12.72 (~(v194(constB42) | v198(constB42))),
% 17.49/12.72 inference(unit_resolution,[status(thm)],[37355, 37354, 37100])).
% 17.49/12.72 tff(37357,plain,
% 17.49/12.72 ((~(v191(constB42) <=> (v194(constB42) | v198(constB42)))) | (~v191(constB42)) | (v194(constB42) | v198(constB42))),
% 17.49/12.72 inference(tautology,[status(thm)],[])).
% 17.49/12.72 tff(37358,plain,
% 17.49/12.72 (~v191(constB42)),
% 17.49/12.72 inference(unit_resolution,[status(thm)],[37357, 37356, 37075])).
% 17.49/12.72 tff(37359,plain,
% 17.49/12.72 ((~(v193(constB43) <=> v191(constB42))) | (~v193(constB43)) | v191(constB42)),
% 17.49/12.72 inference(tautology,[status(thm)],[])).
% 17.49/12.72 tff(37360,plain,
% 17.49/12.72 (~v193(constB43)),
% 17.49/12.72 inference(unit_resolution,[status(thm)],[37359, 37358, 37073])).
% 17.49/12.72 tff(37361,plain,
% 17.49/12.72 ($false),
% 17.49/12.72 inference(unit_resolution,[status(thm)],[37360, 37069])).
% 17.49/12.72 tff(37362,plain,(~(constB43 = VarCurr!0)), inference(lemma,lemma(discharge,[]))).
% 17.49/12.72 tff(37363,assumption,(constB183 = VarCurr!0), introduced(assumption)).
% 17.49/12.72 tff(37364,plain,
% 17.49/12.72 (v193(constB183) <=> v193(VarCurr!0)),
% 17.49/12.72 inference(monotonicity,[status(thm)],[37363])).
% 17.49/12.72 tff(37365,plain,
% 17.49/12.72 (v193(VarCurr!0) <=> v193(constB183)),
% 17.49/12.72 inference(symmetry,[status(thm)],[37364])).
% 17.49/12.72 tff(37366,plain,
% 17.49/12.72 (v193(constB183)),
% 17.49/12.72 inference(modus_ponens,[status(thm)],[59, 37365])).
% 17.49/12.72 tff(37367,plain,
% 17.49/12.72 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v193(VarNext) <=> v191(VarCurr)))) | ((~nextState(constB182, constB183)) | (v193(constB183) <=> v191(constB182)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v193(VarNext) <=> v191(VarCurr)))) | (~nextState(constB182, constB183)) | (v193(constB183) <=> v191(constB182)))),
% 17.49/12.72 inference(rewrite,[status(thm)],[])).
% 17.49/12.72 tff(37368,plain,
% 17.49/12.72 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v193(VarNext) <=> v191(VarCurr)))) | ((~nextState(constB182, constB183)) | (v193(constB183) <=> v191(constB182)))),
% 17.49/12.72 inference(quant_inst,[status(thm)],[])).
% 17.49/12.72 tff(37369,plain,
% 17.49/12.72 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v193(VarNext) <=> v191(VarCurr)))) | (~nextState(constB182, constB183)) | (v193(constB183) <=> v191(constB182))),
% 17.49/12.72 inference(modus_ponens,[status(thm)],[37368, 37367])).
% 17.49/12.72 tff(37370,plain,
% 17.49/12.72 (v193(constB183) <=> v191(constB182)),
% 17.49/12.72 inference(unit_resolution,[status(thm)],[37369, 24386, 70])).
% 17.49/12.72 tff(37371,plain,
% 17.49/12.72 ((~![VarCurr: $i] : (v191(VarCurr) <=> (v194(VarCurr) | v198(VarCurr)))) | (v191(constB182) <=> (v194(constB182) | v198(constB182)))),
% 17.49/12.72 inference(quant_inst,[status(thm)],[])).
% 17.49/12.72 tff(37372,plain,
% 17.49/12.72 (v191(constB182) <=> (v194(constB182) | v198(constB182))),
% 17.49/12.72 inference(unit_resolution,[status(thm)],[37371, 84])).
% 17.49/12.72 tff(37373,plain,
% 17.49/12.72 ((~![VarCurr: $i] : (v198(VarCurr) <=> (~((~v199(VarCurr)) | (~v200(VarCurr)))))) | (v198(constB182) <=> (~((~v199(constB182)) | (~v200(constB182)))))),
% 17.49/12.72 inference(quant_inst,[status(thm)],[])).
% 17.49/12.72 tff(37374,plain,
% 17.49/12.72 (v198(constB182) <=> (~((~v199(constB182)) | (~v200(constB182))))),
% 17.49/12.72 inference(unit_resolution,[status(thm)],[37373, 96])).
% 17.49/12.72 tff(37375,plain,
% 17.49/12.72 ((~![VarCurr: $i] : (v200(VarCurr) <=> (~((~v197(VarCurr)) | (~v201(VarCurr)))))) | (v200(constB182) <=> (~((~v197(constB182)) | (~v201(constB182)))))),
% 17.49/12.72 inference(quant_inst,[status(thm)],[])).
% 17.49/12.72 tff(37376,plain,
% 17.49/12.72 (v200(constB182) <=> (~((~v197(constB182)) | (~v201(constB182))))),
% 17.49/12.72 inference(unit_resolution,[status(thm)],[37375, 108])).
% 17.49/12.72 tff(37377,plain,
% 17.49/12.72 ((~![VarCurr: $i] : (v197(VarCurr) <=> (~((~v39(VarCurr)) | (~v9(VarCurr)))))) | (v197(constB182) <=> (~((~v39(constB182)) | (~v9(constB182)))))),
% 17.49/12.72 inference(quant_inst,[status(thm)],[])).
% 17.49/12.72 tff(37378,plain,
% 17.49/12.72 (v197(constB182) <=> (~((~v39(constB182)) | (~v9(constB182))))),
% 17.49/12.72 inference(unit_resolution,[status(thm)],[37377, 120])).
% 17.49/12.72 tff(37379,plain,
% 17.49/12.72 ((~![VarCurr: $i] : ((~v39(VarCurr)) <=> v1(VarCurr))) | ((~v39(constB182)) <=> v1(constB182))),
% 17.49/12.72 inference(quant_inst,[status(thm)],[])).
% 17.49/12.72 tff(37380,plain,
% 17.49/12.72 ((~v39(constB182)) <=> v1(constB182)),
% 17.49/12.72 inference(unit_resolution,[status(thm)],[37379, 129])).
% 17.49/12.72 tff(37381,plain,
% 17.49/12.72 ((~((~v39(constB182)) <=> v1(constB182))) | (~v39(constB182)) | (~v1(constB182))),
% 17.49/12.72 inference(tautology,[status(thm)],[])).
% 17.49/12.72 tff(37382,plain,
% 17.49/12.72 ((~((~v39(constB182)) <=> v1(constB182))) | (~v39(constB182))),
% 17.49/12.72 inference(unit_resolution,[status(thm)],[37381, 24448])).
% 17.49/12.72 tff(37383,plain,
% 17.49/12.72 (~v39(constB182)),
% 17.49/12.72 inference(unit_resolution,[status(thm)],[37382, 37380])).
% 17.49/12.72 tff(37384,plain,
% 17.49/12.72 (((~v39(constB182)) | (~v9(constB182))) | v39(constB182)),
% 17.49/12.72 inference(tautology,[status(thm)],[])).
% 17.49/12.72 tff(37385,plain,
% 17.49/12.72 ((~v39(constB182)) | (~v9(constB182))),
% 17.49/12.72 inference(unit_resolution,[status(thm)],[37384, 37383])).
% 17.49/12.72 tff(37386,plain,
% 17.49/12.72 ((~(v197(constB182) <=> (~((~v39(constB182)) | (~v9(constB182)))))) | (~v197(constB182)) | (~((~v39(constB182)) | (~v9(constB182))))),
% 17.49/12.72 inference(tautology,[status(thm)],[])).
% 17.49/12.72 tff(37387,plain,
% 17.49/12.72 ((~(v197(constB182) <=> (~((~v39(constB182)) | (~v9(constB182)))))) | (~v197(constB182))),
% 17.49/12.72 inference(unit_resolution,[status(thm)],[37386, 37385])).
% 17.49/12.72 tff(37388,plain,
% 17.49/12.72 (~v197(constB182)),
% 17.49/12.72 inference(unit_resolution,[status(thm)],[37387, 37378])).
% 17.49/12.72 tff(37389,plain,
% 17.49/12.72 (((~v197(constB182)) | (~v201(constB182))) | v197(constB182)),
% 17.49/12.72 inference(tautology,[status(thm)],[])).
% 17.49/12.72 tff(37390,plain,
% 17.49/12.72 ((~v197(constB182)) | (~v201(constB182))),
% 17.49/12.72 inference(unit_resolution,[status(thm)],[37389, 37388])).
% 17.49/12.72 tff(37391,plain,
% 17.49/12.72 ((~(v200(constB182) <=> (~((~v197(constB182)) | (~v201(constB182)))))) | (~v200(constB182)) | (~((~v197(constB182)) | (~v201(constB182))))),
% 17.49/12.72 inference(tautology,[status(thm)],[])).
% 17.49/12.72 tff(37392,plain,
% 17.49/12.72 ((~(v200(constB182) <=> (~((~v197(constB182)) | (~v201(constB182)))))) | (~v200(constB182))),
% 17.49/12.72 inference(unit_resolution,[status(thm)],[37391, 37390])).
% 17.49/12.72 tff(37393,plain,
% 17.49/12.72 (~v200(constB182)),
% 17.49/12.72 inference(unit_resolution,[status(thm)],[37392, 37376])).
% 17.49/12.72 tff(37394,plain,
% 17.49/12.72 (((~v199(constB182)) | (~v200(constB182))) | v200(constB182)),
% 17.49/12.72 inference(tautology,[status(thm)],[])).
% 17.49/12.72 tff(37395,plain,
% 17.49/12.72 ((~v199(constB182)) | (~v200(constB182))),
% 17.49/12.72 inference(unit_resolution,[status(thm)],[37394, 37393])).
% 17.49/12.72 tff(37396,plain,
% 17.49/12.72 ((~(v198(constB182) <=> (~((~v199(constB182)) | (~v200(constB182)))))) | (~v198(constB182)) | (~((~v199(constB182)) | (~v200(constB182))))),
% 17.49/12.72 inference(tautology,[status(thm)],[])).
% 17.49/12.72 tff(37397,plain,
% 17.49/12.72 (~v198(constB182)),
% 17.49/12.72 inference(unit_resolution,[status(thm)],[37396, 37395, 37374])).
% 17.49/12.73 tff(37398,plain,
% 17.49/12.73 (((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB182) <=> (~((~v157(constB182)) | (~v195(constB182)))))) <=> ((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB182) <=> (~((~v157(constB182)) | (~v195(constB182))))))),
% 17.49/12.73 inference(rewrite,[status(thm)],[])).
% 17.49/12.73 tff(37399,plain,
% 17.49/12.73 ((v194(constB182) <=> (~((~v195(constB182)) | (~v157(constB182))))) <=> (v194(constB182) <=> (~((~v157(constB182)) | (~v195(constB182)))))),
% 17.49/12.73 inference(rewrite,[status(thm)],[])).
% 17.49/12.73 tff(37400,plain,
% 17.49/12.73 (((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB182) <=> (~((~v195(constB182)) | (~v157(constB182)))))) <=> ((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB182) <=> (~((~v157(constB182)) | (~v195(constB182))))))),
% 17.49/12.73 inference(monotonicity,[status(thm)],[37399])).
% 17.49/12.73 tff(37401,plain,
% 17.49/12.73 (((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB182) <=> (~((~v195(constB182)) | (~v157(constB182)))))) <=> ((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB182) <=> (~((~v157(constB182)) | (~v195(constB182))))))),
% 17.49/12.73 inference(transitivity,[status(thm)],[37400, 37398])).
% 17.49/12.73 tff(37402,plain,
% 17.49/12.73 ((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB182) <=> (~((~v195(constB182)) | (~v157(constB182)))))),
% 17.49/12.73 inference(quant_inst,[status(thm)],[])).
% 17.49/12.73 tff(37403,plain,
% 17.49/12.73 ((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB182) <=> (~((~v157(constB182)) | (~v195(constB182)))))),
% 17.49/12.73 inference(modus_ponens,[status(thm)],[37402, 37401])).
% 17.49/12.73 tff(37404,plain,
% 17.49/12.73 (v194(constB182) <=> (~((~v157(constB182)) | (~v195(constB182))))),
% 17.49/12.73 inference(unit_resolution,[status(thm)],[37403, 161])).
% 17.49/12.73 tff(37405,plain,
% 17.49/12.73 ((~![VarNext: $i] : (v157(VarNext) <=> v193(VarNext))) | (v157(constB182) <=> v193(constB182))),
% 17.49/12.73 inference(quant_inst,[status(thm)],[])).
% 17.49/12.73 tff(37406,plain,
% 17.49/12.73 (v157(constB182) <=> v193(constB182)),
% 17.49/12.73 inference(unit_resolution,[status(thm)],[37405, 13])).
% 17.49/12.73 tff(37407,plain,
% 17.49/12.73 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v193(VarNext) <=> v191(VarCurr)))) | ((~nextState(constB181, constB182)) | (v193(constB182) <=> v191(constB181)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v193(VarNext) <=> v191(VarCurr)))) | (~nextState(constB181, constB182)) | (v193(constB182) <=> v191(constB181)))),
% 17.49/12.73 inference(rewrite,[status(thm)],[])).
% 17.49/12.73 tff(37408,plain,
% 17.49/12.73 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v193(VarNext) <=> v191(VarCurr)))) | ((~nextState(constB181, constB182)) | (v193(constB182) <=> v191(constB181)))),
% 17.49/12.73 inference(quant_inst,[status(thm)],[])).
% 17.49/12.73 tff(37409,plain,
% 17.49/12.73 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v193(VarNext) <=> v191(VarCurr)))) | (~nextState(constB181, constB182)) | (v193(constB182) <=> v191(constB181))),
% 17.49/12.73 inference(modus_ponens,[status(thm)],[37408, 37407])).
% 17.49/12.73 tff(37410,plain,
% 17.49/12.73 (v193(constB182) <=> v191(constB181)),
% 17.49/12.73 inference(unit_resolution,[status(thm)],[37409, 24418, 70])).
% 17.49/12.73 tff(37411,plain,
% 17.49/12.73 ((~![VarCurr: $i] : (v191(VarCurr) <=> (v194(VarCurr) | v198(VarCurr)))) | (v191(constB181) <=> (v194(constB181) | v198(constB181)))),
% 17.49/12.73 inference(quant_inst,[status(thm)],[])).
% 17.49/12.73 tff(37412,plain,
% 17.49/12.73 (v191(constB181) <=> (v194(constB181) | v198(constB181))),
% 17.49/12.73 inference(unit_resolution,[status(thm)],[37411, 84])).
% 17.49/12.73 tff(37413,plain,
% 17.49/12.73 (((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB181) <=> (~((~v157(constB181)) | (~v195(constB181)))))) <=> ((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB181) <=> (~((~v157(constB181)) | (~v195(constB181))))))),
% 17.49/12.73 inference(rewrite,[status(thm)],[])).
% 17.49/12.73 tff(37414,plain,
% 17.49/12.73 ((v194(constB181) <=> (~((~v195(constB181)) | (~v157(constB181))))) <=> (v194(constB181) <=> (~((~v157(constB181)) | (~v195(constB181)))))),
% 17.49/12.73 inference(rewrite,[status(thm)],[])).
% 17.49/12.73 tff(37415,plain,
% 17.49/12.73 (((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB181) <=> (~((~v195(constB181)) | (~v157(constB181)))))) <=> ((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB181) <=> (~((~v157(constB181)) | (~v195(constB181))))))),
% 17.49/12.73 inference(monotonicity,[status(thm)],[37414])).
% 17.49/12.73 tff(37416,plain,
% 17.49/12.73 (((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB181) <=> (~((~v195(constB181)) | (~v157(constB181)))))) <=> ((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB181) <=> (~((~v157(constB181)) | (~v195(constB181))))))),
% 17.49/12.73 inference(transitivity,[status(thm)],[37415, 37413])).
% 17.49/12.73 tff(37417,plain,
% 17.49/12.73 ((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB181) <=> (~((~v195(constB181)) | (~v157(constB181)))))),
% 17.49/12.73 inference(quant_inst,[status(thm)],[])).
% 17.49/12.73 tff(37418,plain,
% 17.49/12.73 ((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB181) <=> (~((~v157(constB181)) | (~v195(constB181)))))),
% 17.49/12.73 inference(modus_ponens,[status(thm)],[37417, 37416])).
% 17.49/12.73 tff(37419,plain,
% 17.49/12.73 (v194(constB181) <=> (~((~v157(constB181)) | (~v195(constB181))))),
% 17.49/12.73 inference(unit_resolution,[status(thm)],[37418, 161])).
% 17.49/12.73 tff(37420,plain,
% 17.49/12.73 ((~![VarCurr: $i] : ((~v195(VarCurr)) <=> v196(VarCurr))) | ((~v195(constB181)) <=> v196(constB181))),
% 17.49/12.73 inference(quant_inst,[status(thm)],[])).
% 17.49/12.73 tff(37421,plain,
% 17.49/12.73 ((~v195(constB181)) <=> v196(constB181)),
% 17.49/12.73 inference(unit_resolution,[status(thm)],[37420, 193])).
% 17.49/12.73 tff(37422,plain,
% 17.49/12.73 ((~![VarCurr: $i] : (v196(VarCurr) <=> (v197(VarCurr) | v26(VarCurr)))) | (v196(constB181) <=> (v197(constB181) | v26(constB181)))),
% 17.49/12.73 inference(quant_inst,[status(thm)],[])).
% 17.49/12.73 tff(37423,plain,
% 17.49/12.73 (v196(constB181) <=> (v197(constB181) | v26(constB181))),
% 17.49/12.73 inference(unit_resolution,[status(thm)],[37422, 202])).
% 17.49/12.73 tff(37424,plain,
% 17.49/12.73 ((~![VarCurr: $i] : (v197(VarCurr) <=> (~((~v39(VarCurr)) | (~v9(VarCurr)))))) | (v197(constB181) <=> (~((~v39(constB181)) | (~v9(constB181)))))),
% 17.49/12.73 inference(quant_inst,[status(thm)],[])).
% 17.49/12.73 tff(37425,plain,
% 17.49/12.73 (v197(constB181) <=> (~((~v39(constB181)) | (~v9(constB181))))),
% 17.49/12.73 inference(unit_resolution,[status(thm)],[37424, 120])).
% 17.49/12.73 tff(37426,plain,
% 17.49/12.73 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | ((~nextState(constB181, constB182)) | (v13(constB182) <=> v9(constB181)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | (~nextState(constB181, constB182)) | (v13(constB182) <=> v9(constB181)))),
% 17.49/12.73 inference(rewrite,[status(thm)],[])).
% 17.49/12.73 tff(37427,plain,
% 17.49/12.73 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | ((~nextState(constB181, constB182)) | (v13(constB182) <=> v9(constB181)))),
% 17.49/12.73 inference(quant_inst,[status(thm)],[])).
% 17.49/12.73 tff(37428,plain,
% 17.49/12.73 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | (~nextState(constB181, constB182)) | (v13(constB182) <=> v9(constB181))),
% 17.49/12.73 inference(modus_ponens,[status(thm)],[37427, 37426])).
% 17.49/12.73 tff(37429,plain,
% 17.49/12.73 (v13(constB182) <=> v9(constB181)),
% 17.49/12.73 inference(unit_resolution,[status(thm)],[37428, 24418, 216])).
% 17.49/12.73 tff(37430,plain,
% 17.49/12.73 ((~![VarNext: $i] : (v6(VarNext) <=> v13(VarNext))) | (v6(constB182) <=> v13(constB182))),
% 17.49/12.73 inference(quant_inst,[status(thm)],[])).
% 17.49/12.73 tff(37431,plain,
% 17.49/12.73 (v6(constB182) <=> v13(constB182)),
% 17.49/12.73 inference(unit_resolution,[status(thm)],[37430, 230])).
% 17.49/12.73 tff(37432,plain,
% 17.49/12.73 ((~![VarCurr: $i] : ((~v21(VarCurr)) <=> v6(VarCurr))) | ((~v21(constB182)) <=> v6(constB182))),
% 17.49/12.73 inference(quant_inst,[status(thm)],[])).
% 17.49/12.73 tff(37433,plain,
% 17.49/12.73 ((~v21(constB182)) <=> v6(constB182)),
% 17.49/12.73 inference(unit_resolution,[status(thm)],[37432, 239])).
% 17.49/12.73 tff(37434,plain,
% 17.49/12.73 ((~![VarCurr: $i] : (v19(VarCurr) <=> (v20(VarCurr) | v21(VarCurr)))) | (v19(constB182) <=> (v20(constB182) | v21(constB182)))),
% 17.49/12.73 inference(quant_inst,[status(thm)],[])).
% 17.49/12.73 tff(37435,plain,
% 17.49/12.73 (v19(constB182) <=> (v20(constB182) | v21(constB182))),
% 17.49/12.73 inference(unit_resolution,[status(thm)],[37434, 248])).
% 17.49/12.73 tff(37436,plain,
% 17.49/12.73 ((~![VarCurr: $i] : (v18(VarCurr) <=> (~((~v19(VarCurr)) | (~v22(VarCurr)))))) | (v18(constB182) <=> (~((~v19(constB182)) | (~v22(constB182)))))),
% 17.49/12.73 inference(quant_inst,[status(thm)],[])).
% 17.49/12.73 tff(37437,plain,
% 17.49/12.73 (v18(constB182) <=> (~((~v19(constB182)) | (~v22(constB182))))),
% 17.49/12.73 inference(unit_resolution,[status(thm)],[37436, 260])).
% 17.49/12.73 tff(37438,plain,
% 17.49/12.73 ((~![VarCurr: $i] : ((~v4(VarCurr)) <=> v18(VarCurr))) | ((~v4(constB182)) <=> v18(constB182))),
% 17.49/12.73 inference(quant_inst,[status(thm)],[])).
% 17.49/12.73 tff(37439,plain,
% 17.49/12.73 ((~v4(constB182)) <=> v18(constB182)),
% 17.49/12.73 inference(unit_resolution,[status(thm)],[37438, 269])).
% 17.49/12.73 tff(37440,plain,
% 17.49/12.73 ((~![VarCurr: $i] : v4(VarCurr)) | v4(constB182)),
% 17.49/12.73 inference(quant_inst,[status(thm)],[])).
% 17.49/12.73 tff(37441,plain,
% 17.49/12.73 (v4(constB182)),
% 17.49/12.73 inference(unit_resolution,[status(thm)],[37440, 278])).
% 17.49/12.73 tff(37442,plain,
% 17.49/12.73 ((~((~v4(constB182)) <=> v18(constB182))) | (~v4(constB182)) | (~v18(constB182))),
% 17.49/12.73 inference(tautology,[status(thm)],[])).
% 17.49/12.73 tff(37443,plain,
% 17.49/12.73 (~v18(constB182)),
% 17.49/12.73 inference(unit_resolution,[status(thm)],[37442, 37441, 37439])).
% 17.49/12.73 tff(37444,plain,
% 17.49/12.73 ((~(v18(constB182) <=> (~((~v19(constB182)) | (~v22(constB182)))))) | v18(constB182) | ((~v19(constB182)) | (~v22(constB182)))),
% 17.49/12.73 inference(tautology,[status(thm)],[])).
% 17.49/12.73 tff(37445,plain,
% 17.49/12.73 ((~v19(constB182)) | (~v22(constB182))),
% 17.49/12.73 inference(unit_resolution,[status(thm)],[37444, 37443, 37437])).
% 17.49/12.73 tff(37446,plain,
% 17.49/12.73 ((~![VarCurr: $i] : (v22(VarCurr) <=> (v1(VarCurr) | v6(VarCurr)))) | (v22(constB182) <=> (v1(constB182) | v6(constB182)))),
% 17.49/12.73 inference(quant_inst,[status(thm)],[])).
% 17.49/12.73 tff(37447,plain,
% 17.49/12.73 (v22(constB182) <=> (v1(constB182) | v6(constB182))),
% 17.49/12.73 inference(unit_resolution,[status(thm)],[37446, 291])).
% 17.49/12.73 tff(37448,plain,
% 17.49/12.73 ((v1(constB182) | v6(constB182)) | (~v1(constB182))),
% 17.49/12.73 inference(tautology,[status(thm)],[])).
% 17.49/12.73 tff(37449,plain,
% 17.49/12.73 (v1(constB182) | v6(constB182)),
% 17.49/12.73 inference(unit_resolution,[status(thm)],[37448, 24448])).
% 17.49/12.73 tff(37450,plain,
% 17.49/12.73 ((~(v22(constB182) <=> (v1(constB182) | v6(constB182)))) | v22(constB182) | (~(v1(constB182) | v6(constB182)))),
% 17.49/12.73 inference(tautology,[status(thm)],[])).
% 17.49/12.73 tff(37451,plain,
% 17.49/12.73 ((~(v22(constB182) <=> (v1(constB182) | v6(constB182)))) | v22(constB182)),
% 17.49/12.73 inference(unit_resolution,[status(thm)],[37450, 37449])).
% 17.49/12.73 tff(37452,plain,
% 17.49/12.73 (v22(constB182)),
% 17.49/12.73 inference(unit_resolution,[status(thm)],[37451, 37447])).
% 17.49/12.73 tff(37453,plain,
% 17.49/12.73 ((~((~v19(constB182)) | (~v22(constB182)))) | (~v19(constB182)) | (~v22(constB182))),
% 17.49/12.73 inference(tautology,[status(thm)],[])).
% 17.49/12.73 tff(37454,plain,
% 17.49/12.73 ((~((~v19(constB182)) | (~v22(constB182)))) | (~v19(constB182))),
% 17.49/12.73 inference(unit_resolution,[status(thm)],[37453, 37452])).
% 17.49/12.73 tff(37455,plain,
% 17.49/12.73 (~v19(constB182)),
% 17.49/12.73 inference(unit_resolution,[status(thm)],[37454, 37445])).
% 17.49/12.73 tff(37456,plain,
% 17.49/12.73 ((~(v19(constB182) <=> (v20(constB182) | v21(constB182)))) | v19(constB182) | (~(v20(constB182) | v21(constB182)))),
% 17.49/12.73 inference(tautology,[status(thm)],[])).
% 17.49/12.73 tff(37457,plain,
% 17.49/12.73 (~(v20(constB182) | v21(constB182))),
% 17.49/12.73 inference(unit_resolution,[status(thm)],[37456, 37455, 37435])).
% 17.49/12.73 tff(37458,plain,
% 17.49/12.73 ((v20(constB182) | v21(constB182)) | (~v21(constB182))),
% 17.49/12.73 inference(tautology,[status(thm)],[])).
% 17.49/12.73 tff(37459,plain,
% 17.49/12.73 (~v21(constB182)),
% 17.49/12.73 inference(unit_resolution,[status(thm)],[37458, 37457])).
% 17.49/12.73 tff(37460,plain,
% 17.49/12.73 ((~((~v21(constB182)) <=> v6(constB182))) | v21(constB182) | v6(constB182)),
% 17.49/12.73 inference(tautology,[status(thm)],[])).
% 17.49/12.73 tff(37461,plain,
% 17.49/12.73 (v6(constB182)),
% 17.49/12.73 inference(unit_resolution,[status(thm)],[37460, 37459, 37433])).
% 17.49/12.73 tff(37462,plain,
% 17.49/12.73 ((~(v6(constB182) <=> v13(constB182))) | (~v6(constB182)) | v13(constB182)),
% 17.49/12.73 inference(tautology,[status(thm)],[])).
% 17.49/12.73 tff(37463,plain,
% 17.49/12.73 (v13(constB182)),
% 17.49/12.73 inference(unit_resolution,[status(thm)],[37462, 37461, 37431])).
% 17.49/12.73 tff(37464,plain,
% 17.49/12.73 ((~(v13(constB182) <=> v9(constB181))) | (~v13(constB182)) | v9(constB181)),
% 17.49/12.73 inference(tautology,[status(thm)],[])).
% 17.49/12.73 tff(37465,plain,
% 17.49/12.73 (v9(constB181)),
% 17.49/12.73 inference(unit_resolution,[status(thm)],[37464, 37463, 37429])).
% 17.49/12.73 tff(37466,plain,
% 17.49/12.73 ((~![VarCurr: $i] : ((~v39(VarCurr)) <=> v1(VarCurr))) | ((~v39(constB181)) <=> v1(constB181))),
% 17.49/12.73 inference(quant_inst,[status(thm)],[])).
% 17.49/12.73 tff(37467,plain,
% 17.49/12.73 ((~v39(constB181)) <=> v1(constB181)),
% 17.49/12.73 inference(unit_resolution,[status(thm)],[37466, 129])).
% 17.49/12.73 tff(37468,plain,
% 17.49/12.73 ((~((~v39(constB181)) <=> v1(constB181))) | v39(constB181) | v1(constB181)),
% 17.49/12.73 inference(tautology,[status(thm)],[])).
% 17.49/12.73 tff(37469,plain,
% 17.49/12.73 ((~((~v39(constB181)) <=> v1(constB181))) | v39(constB181)),
% 17.49/12.73 inference(unit_resolution,[status(thm)],[37468, 24440])).
% 17.49/12.73 tff(37470,plain,
% 17.49/12.73 (v39(constB181)),
% 17.49/12.73 inference(unit_resolution,[status(thm)],[37469, 37467])).
% 17.49/12.73 tff(37471,plain,
% 17.49/12.73 ((~((~v39(constB181)) | (~v9(constB181)))) | (~v39(constB181)) | (~v9(constB181))),
% 17.49/12.73 inference(tautology,[status(thm)],[])).
% 17.49/12.73 tff(37472,plain,
% 17.49/12.73 ((~((~v39(constB181)) | (~v9(constB181)))) | (~v9(constB181))),
% 17.49/12.73 inference(unit_resolution,[status(thm)],[37471, 37470])).
% 17.49/12.73 tff(37473,plain,
% 17.49/12.73 (~((~v39(constB181)) | (~v9(constB181)))),
% 17.49/12.73 inference(unit_resolution,[status(thm)],[37472, 37465])).
% 17.49/12.73 tff(37474,plain,
% 17.49/12.73 ((~(v197(constB181) <=> (~((~v39(constB181)) | (~v9(constB181)))))) | v197(constB181) | ((~v39(constB181)) | (~v9(constB181)))),
% 17.49/12.73 inference(tautology,[status(thm)],[])).
% 17.49/12.73 tff(37475,plain,
% 17.49/12.73 (v197(constB181)),
% 17.49/12.73 inference(unit_resolution,[status(thm)],[37474, 37473, 37425])).
% 17.49/12.73 tff(37476,plain,
% 17.49/12.73 ((v197(constB181) | v26(constB181)) | (~v197(constB181))),
% 17.49/12.73 inference(tautology,[status(thm)],[])).
% 17.49/12.73 tff(37477,plain,
% 17.49/12.73 (v197(constB181) | v26(constB181)),
% 17.49/12.73 inference(unit_resolution,[status(thm)],[37476, 37475])).
% 17.49/12.73 tff(37478,plain,
% 17.49/12.73 ((~(v196(constB181) <=> (v197(constB181) | v26(constB181)))) | v196(constB181) | (~(v197(constB181) | v26(constB181)))),
% 17.49/12.73 inference(tautology,[status(thm)],[])).
% 17.49/12.73 tff(37479,plain,
% 17.49/12.73 (v196(constB181)),
% 17.49/12.73 inference(unit_resolution,[status(thm)],[37478, 37477, 37423])).
% 17.49/12.73 tff(37480,plain,
% 17.49/12.73 ((~((~v195(constB181)) <=> v196(constB181))) | (~v195(constB181)) | (~v196(constB181))),
% 17.49/12.73 inference(tautology,[status(thm)],[])).
% 17.49/12.73 tff(37481,plain,
% 17.49/12.73 (~v195(constB181)),
% 17.49/12.73 inference(unit_resolution,[status(thm)],[37480, 37479, 37421])).
% 17.49/12.73 tff(37482,plain,
% 17.49/12.73 (((~v157(constB181)) | (~v195(constB181))) | v195(constB181)),
% 17.49/12.73 inference(tautology,[status(thm)],[])).
% 17.49/12.73 tff(37483,plain,
% 17.49/12.73 ((~v157(constB181)) | (~v195(constB181))),
% 17.49/12.73 inference(unit_resolution,[status(thm)],[37482, 37481])).
% 17.49/12.73 tff(37484,plain,
% 17.49/12.73 ((~(v194(constB181) <=> (~((~v157(constB181)) | (~v195(constB181)))))) | (~v194(constB181)) | (~((~v157(constB181)) | (~v195(constB181))))),
% 17.49/12.73 inference(tautology,[status(thm)],[])).
% 17.49/12.73 tff(37485,plain,
% 17.49/12.73 (~v194(constB181)),
% 17.49/12.73 inference(unit_resolution,[status(thm)],[37484, 37483, 37419])).
% 17.49/12.73 tff(37486,plain,
% 17.49/12.73 ((~![VarCurr: $i] : (v198(VarCurr) <=> (~((~v199(VarCurr)) | (~v200(VarCurr)))))) | (v198(constB181) <=> (~((~v199(constB181)) | (~v200(constB181)))))),
% 17.49/12.73 inference(quant_inst,[status(thm)],[])).
% 17.49/12.73 tff(37487,plain,
% 17.49/12.73 (v198(constB181) <=> (~((~v199(constB181)) | (~v200(constB181))))),
% 17.49/12.73 inference(unit_resolution,[status(thm)],[37486, 96])).
% 17.49/12.73 tff(37488,plain,
% 17.49/12.73 ((~![VarCurr: $i] : (v200(VarCurr) <=> (~((~v197(VarCurr)) | (~v201(VarCurr)))))) | (v200(constB181) <=> (~((~v197(constB181)) | (~v201(constB181)))))),
% 17.49/12.73 inference(quant_inst,[status(thm)],[])).
% 17.49/12.73 tff(37489,plain,
% 17.49/12.73 (v200(constB181) <=> (~((~v197(constB181)) | (~v201(constB181))))),
% 17.49/12.73 inference(unit_resolution,[status(thm)],[37488, 108])).
% 17.49/12.73 tff(37490,plain,
% 17.49/12.73 ((~![VarCurr: $i] : (v201(VarCurr) <=> (~((~v159(VarCurr)) | (~v161(VarCurr)))))) | (v201(constB181) <=> (~((~v159(constB181)) | (~v161(constB181)))))),
% 17.49/12.73 inference(quant_inst,[status(thm)],[])).
% 17.49/12.73 tff(37491,plain,
% 17.49/12.73 (v201(constB181) <=> (~((~v159(constB181)) | (~v161(constB181))))),
% 17.49/12.73 inference(unit_resolution,[status(thm)],[37490, 348])).
% 17.49/12.73 tff(37492,plain,
% 17.49/12.73 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v179(VarNext) <=> v180(VarNext)))) | ((~nextState(constB180, constB181)) | (v179(constB181) <=> v180(constB181)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v179(VarNext) <=> v180(VarNext)))) | (~nextState(constB180, constB181)) | (v179(constB181) <=> v180(constB181)))),
% 17.49/12.73 inference(rewrite,[status(thm)],[])).
% 17.49/12.73 tff(37493,plain,
% 17.49/12.73 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v179(VarNext) <=> v180(VarNext)))) | ((~nextState(constB180, constB181)) | (v179(constB181) <=> v180(constB181)))),
% 17.49/12.73 inference(quant_inst,[status(thm)],[])).
% 17.49/12.73 tff(37494,plain,
% 17.49/12.73 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v179(VarNext) <=> v180(VarNext)))) | (~nextState(constB180, constB181)) | (v179(constB181) <=> v180(constB181))),
% 17.49/12.73 inference(modus_ponens,[status(thm)],[37493, 37492])).
% 17.49/12.73 tff(37495,plain,
% 17.49/12.73 (v179(constB181) <=> v180(constB181)),
% 17.49/12.73 inference(unit_resolution,[status(thm)],[37494, 24479, 13536])).
% 17.49/12.73 tff(37496,plain,
% 17.49/12.73 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> (~((~v181(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB180, constB181)) | (v180(constB181) <=> (~((~v1(constB181)) | (~v181(constB181))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> (~((~v181(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB180, constB181)) | (v180(constB181) <=> (~((~v1(constB181)) | (~v181(constB181))))))),
% 17.49/12.73 inference(rewrite,[status(thm)],[])).
% 17.49/12.73 tff(37497,plain,
% 17.49/12.73 (((~nextState(constB180, constB181)) | (v180(constB181) <=> (~((~v181(constB181)) | (~v1(constB181)))))) <=> ((~nextState(constB180, constB181)) | (v180(constB181) <=> (~((~v1(constB181)) | (~v181(constB181))))))),
% 17.49/12.73 inference(rewrite,[status(thm)],[])).
% 17.49/12.73 tff(37498,plain,
% 17.49/12.73 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> (~((~v181(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB180, constB181)) | (v180(constB181) <=> (~((~v181(constB181)) | (~v1(constB181))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> (~((~v181(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB180, constB181)) | (v180(constB181) <=> (~((~v1(constB181)) | (~v181(constB181)))))))),
% 17.49/12.73 inference(monotonicity,[status(thm)],[37497])).
% 17.49/12.73 tff(37499,plain,
% 17.49/12.73 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> (~((~v181(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB180, constB181)) | (v180(constB181) <=> (~((~v181(constB181)) | (~v1(constB181))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> (~((~v181(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB180, constB181)) | (v180(constB181) <=> (~((~v1(constB181)) | (~v181(constB181))))))),
% 17.49/12.73 inference(transitivity,[status(thm)],[37498, 37496])).
% 17.49/12.73 tff(37500,plain,
% 17.49/12.73 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> (~((~v181(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB180, constB181)) | (v180(constB181) <=> (~((~v181(constB181)) | (~v1(constB181))))))),
% 17.49/12.73 inference(quant_inst,[status(thm)],[])).
% 17.49/12.73 tff(37501,plain,
% 17.49/12.73 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> (~((~v181(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB180, constB181)) | (v180(constB181) <=> (~((~v1(constB181)) | (~v181(constB181)))))),
% 17.49/12.73 inference(modus_ponens,[status(thm)],[37500, 37499])).
% 17.49/12.73 tff(37502,plain,
% 17.49/12.73 (v180(constB181) <=> (~((~v1(constB181)) | (~v181(constB181))))),
% 17.49/12.73 inference(unit_resolution,[status(thm)],[37501, 24479, 13556])).
% 17.49/12.73 tff(37503,plain,
% 17.49/12.73 (((~v1(constB181)) | (~v181(constB181))) | v1(constB181)),
% 17.49/12.73 inference(tautology,[status(thm)],[])).
% 17.49/12.73 tff(37504,plain,
% 17.49/12.73 ((~v1(constB181)) | (~v181(constB181))),
% 17.49/12.74 inference(unit_resolution,[status(thm)],[37503, 24440])).
% 17.49/12.74 tff(37505,plain,
% 17.49/12.74 ((~(v180(constB181) <=> (~((~v1(constB181)) | (~v181(constB181)))))) | (~v180(constB181)) | (~((~v1(constB181)) | (~v181(constB181))))),
% 17.49/12.74 inference(tautology,[status(thm)],[])).
% 17.49/12.74 tff(37506,plain,
% 17.49/12.74 ((~(v180(constB181) <=> (~((~v1(constB181)) | (~v181(constB181)))))) | (~v180(constB181))),
% 17.49/12.74 inference(unit_resolution,[status(thm)],[37505, 37504])).
% 17.49/12.74 tff(37507,plain,
% 17.49/12.74 (~v180(constB181)),
% 17.49/12.74 inference(unit_resolution,[status(thm)],[37506, 37502])).
% 17.49/12.74 tff(37508,plain,
% 17.49/12.74 ((~(v179(constB181) <=> v180(constB181))) | (~v179(constB181)) | v180(constB181)),
% 17.49/12.74 inference(tautology,[status(thm)],[])).
% 17.49/12.74 tff(37509,plain,
% 17.49/12.74 (~v179(constB181)),
% 17.49/12.74 inference(unit_resolution,[status(thm)],[37508, 37507, 37495])).
% 17.49/12.74 tff(37510,plain,
% 17.49/12.74 (((~![VarCurr: $i, VarNext: $i] : ((v159(VarNext) <=> v159(VarCurr)) | v179(VarNext) | (~nextState(VarCurr, VarNext)))) | ((~nextState(constB180, constB181)) | v179(constB181) | (v159(constB181) <=> v159(constB180)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((v159(VarNext) <=> v159(VarCurr)) | v179(VarNext) | (~nextState(VarCurr, VarNext)))) | (~nextState(constB180, constB181)) | v179(constB181) | (v159(constB181) <=> v159(constB180)))),
% 17.49/12.74 inference(rewrite,[status(thm)],[])).
% 17.49/12.74 tff(37511,plain,
% 17.49/12.74 (((v159(constB181) <=> v159(constB180)) | v179(constB181) | (~nextState(constB180, constB181))) <=> ((~nextState(constB180, constB181)) | v179(constB181) | (v159(constB181) <=> v159(constB180)))),
% 17.49/12.74 inference(rewrite,[status(thm)],[])).
% 17.49/12.74 tff(37512,plain,
% 17.49/12.74 (((~![VarCurr: $i, VarNext: $i] : ((v159(VarNext) <=> v159(VarCurr)) | v179(VarNext) | (~nextState(VarCurr, VarNext)))) | ((v159(constB181) <=> v159(constB180)) | v179(constB181) | (~nextState(constB180, constB181)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((v159(VarNext) <=> v159(VarCurr)) | v179(VarNext) | (~nextState(VarCurr, VarNext)))) | ((~nextState(constB180, constB181)) | v179(constB181) | (v159(constB181) <=> v159(constB180))))),
% 17.49/12.74 inference(monotonicity,[status(thm)],[37511])).
% 17.49/12.74 tff(37513,plain,
% 17.49/12.74 (((~![VarCurr: $i, VarNext: $i] : ((v159(VarNext) <=> v159(VarCurr)) | v179(VarNext) | (~nextState(VarCurr, VarNext)))) | ((v159(constB181) <=> v159(constB180)) | v179(constB181) | (~nextState(constB180, constB181)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((v159(VarNext) <=> v159(VarCurr)) | v179(VarNext) | (~nextState(VarCurr, VarNext)))) | (~nextState(constB180, constB181)) | v179(constB181) | (v159(constB181) <=> v159(constB180)))),
% 17.49/12.74 inference(transitivity,[status(thm)],[37512, 37510])).
% 17.49/12.74 tff(37514,plain,
% 17.49/12.74 ((~![VarCurr: $i, VarNext: $i] : ((v159(VarNext) <=> v159(VarCurr)) | v179(VarNext) | (~nextState(VarCurr, VarNext)))) | ((v159(constB181) <=> v159(constB180)) | v179(constB181) | (~nextState(constB180, constB181)))),
% 17.49/12.74 inference(quant_inst,[status(thm)],[])).
% 17.49/12.74 tff(37515,plain,
% 17.49/12.74 ((~![VarCurr: $i, VarNext: $i] : ((v159(VarNext) <=> v159(VarCurr)) | v179(VarNext) | (~nextState(VarCurr, VarNext)))) | (~nextState(constB180, constB181)) | v179(constB181) | (v159(constB181) <=> v159(constB180))),
% 17.49/12.74 inference(modus_ponens,[status(thm)],[37514, 37513])).
% 17.49/12.74 tff(37516,plain,
% 17.49/12.74 (v179(constB181) | (v159(constB181) <=> v159(constB180))),
% 17.49/12.74 inference(unit_resolution,[status(thm)],[37515, 24479, 13580])).
% 17.49/12.74 tff(37517,plain,
% 17.49/12.74 (v159(constB181) <=> v159(constB180)),
% 17.49/12.74 inference(unit_resolution,[status(thm)],[37516, 37509])).
% 17.49/12.74 tff(37518,plain,
% 17.49/12.74 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v179(VarNext) <=> v180(VarNext)))) | ((~nextState(constB179, constB180)) | (v179(constB180) <=> v180(constB180)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v179(VarNext) <=> v180(VarNext)))) | (~nextState(constB179, constB180)) | (v179(constB180) <=> v180(constB180)))),
% 17.49/12.74 inference(rewrite,[status(thm)],[])).
% 17.49/12.74 tff(37519,plain,
% 17.49/12.74 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v179(VarNext) <=> v180(VarNext)))) | ((~nextState(constB179, constB180)) | (v179(constB180) <=> v180(constB180)))),
% 17.49/12.74 inference(quant_inst,[status(thm)],[])).
% 17.49/12.74 tff(37520,plain,
% 17.49/12.74 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v179(VarNext) <=> v180(VarNext)))) | (~nextState(constB179, constB180)) | (v179(constB180) <=> v180(constB180))),
% 17.49/12.74 inference(modus_ponens,[status(thm)],[37519, 37518])).
% 17.49/12.74 tff(37521,plain,
% 17.49/12.74 (v179(constB180) <=> v180(constB180)),
% 17.49/12.74 inference(unit_resolution,[status(thm)],[37520, 24511, 13536])).
% 17.49/12.74 tff(37522,plain,
% 17.49/12.74 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> (~((~v181(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB179, constB180)) | (v180(constB180) <=> (~((~v1(constB180)) | (~v181(constB180))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> (~((~v181(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB179, constB180)) | (v180(constB180) <=> (~((~v1(constB180)) | (~v181(constB180))))))),
% 17.49/12.74 inference(rewrite,[status(thm)],[])).
% 17.49/12.74 tff(37523,plain,
% 17.49/12.74 (((~nextState(constB179, constB180)) | (v180(constB180) <=> (~((~v181(constB180)) | (~v1(constB180)))))) <=> ((~nextState(constB179, constB180)) | (v180(constB180) <=> (~((~v1(constB180)) | (~v181(constB180))))))),
% 17.49/12.74 inference(rewrite,[status(thm)],[])).
% 17.49/12.74 tff(37524,plain,
% 17.49/12.74 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> (~((~v181(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB179, constB180)) | (v180(constB180) <=> (~((~v181(constB180)) | (~v1(constB180))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> (~((~v181(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB179, constB180)) | (v180(constB180) <=> (~((~v1(constB180)) | (~v181(constB180)))))))),
% 17.49/12.74 inference(monotonicity,[status(thm)],[37523])).
% 17.49/12.74 tff(37525,plain,
% 17.49/12.74 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> (~((~v181(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB179, constB180)) | (v180(constB180) <=> (~((~v181(constB180)) | (~v1(constB180))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> (~((~v181(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB179, constB180)) | (v180(constB180) <=> (~((~v1(constB180)) | (~v181(constB180))))))),
% 17.49/12.74 inference(transitivity,[status(thm)],[37524, 37522])).
% 17.49/12.74 tff(37526,plain,
% 17.49/12.74 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> (~((~v181(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB179, constB180)) | (v180(constB180) <=> (~((~v181(constB180)) | (~v1(constB180))))))),
% 17.49/12.74 inference(quant_inst,[status(thm)],[])).
% 17.49/12.74 tff(37527,plain,
% 17.49/12.74 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> (~((~v181(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB179, constB180)) | (v180(constB180) <=> (~((~v1(constB180)) | (~v181(constB180)))))),
% 17.49/12.74 inference(modus_ponens,[status(thm)],[37526, 37525])).
% 17.49/12.74 tff(37528,plain,
% 17.49/12.74 (v180(constB180) <=> (~((~v1(constB180)) | (~v181(constB180))))),
% 17.49/12.74 inference(unit_resolution,[status(thm)],[37527, 24511, 13556])).
% 17.49/12.74 tff(37529,plain,
% 17.49/12.74 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v181(VarNext)) <=> v104(VarNext)))) | ((~nextState(constB179, constB180)) | ((~v181(constB180)) <=> v104(constB180)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v181(VarNext)) <=> v104(VarNext)))) | (~nextState(constB179, constB180)) | ((~v181(constB180)) <=> v104(constB180)))),
% 17.49/12.74 inference(rewrite,[status(thm)],[])).
% 17.49/12.74 tff(37530,plain,
% 17.49/12.74 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v181(VarNext)) <=> v104(VarNext)))) | ((~nextState(constB179, constB180)) | ((~v181(constB180)) <=> v104(constB180)))),
% 17.49/12.74 inference(quant_inst,[status(thm)],[])).
% 17.49/12.74 tff(37531,plain,
% 17.49/12.74 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v181(VarNext)) <=> v104(VarNext)))) | (~nextState(constB179, constB180)) | ((~v181(constB180)) <=> v104(constB180))),
% 17.49/12.74 inference(modus_ponens,[status(thm)],[37530, 37529])).
% 17.49/12.74 tff(37532,plain,
% 17.49/12.74 ((~v181(constB180)) <=> v104(constB180)),
% 17.49/12.74 inference(unit_resolution,[status(thm)],[37531, 24511, 13612])).
% 17.49/12.74 tff(37533,plain,
% 17.49/12.74 ((~((~v181(constB180)) <=> v104(constB180))) | v181(constB180) | v104(constB180)),
% 17.49/12.74 inference(tautology,[status(thm)],[])).
% 17.49/12.74 tff(37534,plain,
% 17.49/12.74 (v181(constB180)),
% 17.49/12.74 inference(unit_resolution,[status(thm)],[37533, 24536, 37532])).
% 17.49/12.74 tff(37535,plain,
% 17.49/12.74 ((~((~v1(constB180)) | (~v181(constB180)))) | (~v1(constB180)) | (~v181(constB180))),
% 17.49/12.74 inference(tautology,[status(thm)],[])).
% 17.49/12.74 tff(37536,plain,
% 17.49/12.74 ((~((~v1(constB180)) | (~v181(constB180)))) | (~v181(constB180))),
% 17.49/12.74 inference(unit_resolution,[status(thm)],[37535, 24541])).
% 17.49/12.74 tff(37537,plain,
% 17.49/12.74 (~((~v1(constB180)) | (~v181(constB180)))),
% 17.49/12.74 inference(unit_resolution,[status(thm)],[37536, 37534])).
% 17.49/12.74 tff(37538,plain,
% 17.49/12.74 ((~(v180(constB180) <=> (~((~v1(constB180)) | (~v181(constB180)))))) | v180(constB180) | ((~v1(constB180)) | (~v181(constB180)))),
% 17.49/12.74 inference(tautology,[status(thm)],[])).
% 17.49/12.74 tff(37539,plain,
% 17.49/12.74 (v180(constB180)),
% 17.49/12.74 inference(unit_resolution,[status(thm)],[37538, 37537, 37528])).
% 17.49/12.74 tff(37540,plain,
% 17.49/12.74 ((~(v179(constB180) <=> v180(constB180))) | v179(constB180) | (~v180(constB180))),
% 17.49/12.74 inference(tautology,[status(thm)],[])).
% 17.49/12.74 tff(37541,plain,
% 17.49/12.74 (v179(constB180)),
% 17.49/12.74 inference(unit_resolution,[status(thm)],[37540, 37539, 37521])).
% 17.49/12.74 tff(37542,plain,
% 17.49/12.74 (((~![VarNext: $i] : ((~v179(VarNext)) | (v159(VarNext) <=> v186(VarNext)))) | ((~v179(constB180)) | (v159(constB180) <=> v186(constB180)))) <=> ((~![VarNext: $i] : ((~v179(VarNext)) | (v159(VarNext) <=> v186(VarNext)))) | (~v179(constB180)) | (v159(constB180) <=> v186(constB180)))),
% 17.49/12.74 inference(rewrite,[status(thm)],[])).
% 17.49/12.74 tff(37543,plain,
% 17.49/12.74 ((~![VarNext: $i] : ((~v179(VarNext)) | (v159(VarNext) <=> v186(VarNext)))) | ((~v179(constB180)) | (v159(constB180) <=> v186(constB180)))),
% 17.49/12.74 inference(quant_inst,[status(thm)],[])).
% 17.49/12.74 tff(37544,plain,
% 17.49/12.74 ((~![VarNext: $i] : ((~v179(VarNext)) | (v159(VarNext) <=> v186(VarNext)))) | (~v179(constB180)) | (v159(constB180) <=> v186(constB180))),
% 17.49/12.74 inference(modus_ponens,[status(thm)],[37543, 37542])).
% 17.49/12.74 tff(37545,plain,
% 17.49/12.74 (v159(constB180) <=> v186(constB180)),
% 17.49/12.74 inference(unit_resolution,[status(thm)],[37544, 13648, 37541])).
% 17.49/12.74 tff(37546,plain,
% 17.49/12.74 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v186(VarNext) <=> v161(VarCurr)))) | ((~nextState(constB179, constB180)) | (v186(constB180) <=> v161(constB179)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v186(VarNext) <=> v161(VarCurr)))) | (~nextState(constB179, constB180)) | (v186(constB180) <=> v161(constB179)))),
% 17.49/12.74 inference(rewrite,[status(thm)],[])).
% 17.49/12.74 tff(37547,plain,
% 17.49/12.74 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v186(VarNext) <=> v161(VarCurr)))) | ((~nextState(constB179, constB180)) | (v186(constB180) <=> v161(constB179)))),
% 17.49/12.74 inference(quant_inst,[status(thm)],[])).
% 17.49/12.74 tff(37548,plain,
% 17.49/12.74 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v186(VarNext) <=> v161(VarCurr)))) | (~nextState(constB179, constB180)) | (v186(constB180) <=> v161(constB179))),
% 17.49/12.74 inference(modus_ponens,[status(thm)],[37547, 37546])).
% 17.49/12.74 tff(37549,plain,
% 17.49/12.74 (v186(constB180) <=> v161(constB179)),
% 17.49/12.74 inference(unit_resolution,[status(thm)],[37548, 24511, 13662])).
% 17.49/12.74 tff(37550,plain,
% 17.49/12.74 ((~![VarCurr: $i] : (v161(VarCurr) <=> v163(VarCurr))) | (v161(constB179) <=> v163(constB179))),
% 17.49/12.74 inference(quant_inst,[status(thm)],[])).
% 17.49/12.74 tff(37551,plain,
% 17.49/12.74 (v161(constB179) <=> v163(constB179)),
% 17.49/12.74 inference(unit_resolution,[status(thm)],[37550, 357])).
% 17.49/12.74 tff(37552,plain,
% 17.49/12.74 ((~![VarCurr: $i] : (v171(VarCurr) <=> (v142(VarCurr) | v150(VarCurr)))) | (v171(constB179) <=> (v142(constB179) | v150(constB179)))),
% 17.49/12.74 inference(quant_inst,[status(thm)],[])).
% 17.49/12.74 tff(37553,plain,
% 17.49/12.74 (v171(constB179) <=> (v142(constB179) | v150(constB179))),
% 17.49/12.74 inference(unit_resolution,[status(thm)],[37552, 369])).
% 17.49/12.74 tff(37554,plain,
% 17.49/12.74 ((v142(constB179) | v150(constB179)) | (~v142(constB179))),
% 17.49/12.74 inference(tautology,[status(thm)],[])).
% 17.49/12.74 tff(37555,plain,
% 17.49/12.74 (v142(constB179) | v150(constB179)),
% 17.49/12.74 inference(unit_resolution,[status(thm)],[37554, 35209])).
% 17.49/12.74 tff(37556,plain,
% 17.49/12.74 ((~(v171(constB179) <=> (v142(constB179) | v150(constB179)))) | v171(constB179) | (~(v142(constB179) | v150(constB179)))),
% 17.49/12.74 inference(tautology,[status(thm)],[])).
% 17.49/12.74 tff(37557,plain,
% 17.49/12.74 (v171(constB179)),
% 17.49/12.74 inference(unit_resolution,[status(thm)],[37556, 37555, 37553])).
% 17.49/12.74 tff(37558,plain,
% 17.49/12.74 (((~![VarCurr: $i] : ((~v171(VarCurr)) | (~v170(VarCurr)))) | ((~v170(constB179)) | (~v171(constB179)))) <=> ((~![VarCurr: $i] : ((~v171(VarCurr)) | (~v170(VarCurr)))) | (~v170(constB179)) | (~v171(constB179)))),
% 17.49/12.74 inference(rewrite,[status(thm)],[])).
% 17.49/12.74 tff(37559,plain,
% 17.49/12.74 (((~v171(constB179)) | (~v170(constB179))) <=> ((~v170(constB179)) | (~v171(constB179)))),
% 17.49/12.74 inference(rewrite,[status(thm)],[])).
% 17.49/12.74 tff(37560,plain,
% 17.49/12.74 (((~![VarCurr: $i] : ((~v171(VarCurr)) | (~v170(VarCurr)))) | ((~v171(constB179)) | (~v170(constB179)))) <=> ((~![VarCurr: $i] : ((~v171(VarCurr)) | (~v170(VarCurr)))) | ((~v170(constB179)) | (~v171(constB179))))),
% 17.49/12.74 inference(monotonicity,[status(thm)],[37559])).
% 17.49/12.74 tff(37561,plain,
% 17.49/12.74 (((~![VarCurr: $i] : ((~v171(VarCurr)) | (~v170(VarCurr)))) | ((~v171(constB179)) | (~v170(constB179)))) <=> ((~![VarCurr: $i] : ((~v171(VarCurr)) | (~v170(VarCurr)))) | (~v170(constB179)) | (~v171(constB179)))),
% 17.49/12.74 inference(transitivity,[status(thm)],[37560, 37558])).
% 17.49/12.74 tff(37562,plain,
% 17.49/12.74 ((~![VarCurr: $i] : ((~v171(VarCurr)) | (~v170(VarCurr)))) | ((~v171(constB179)) | (~v170(constB179)))),
% 17.49/12.74 inference(quant_inst,[status(thm)],[])).
% 17.49/12.74 tff(37563,plain,
% 17.49/12.74 ((~![VarCurr: $i] : ((~v171(VarCurr)) | (~v170(VarCurr)))) | (~v170(constB179)) | (~v171(constB179))),
% 17.49/12.74 inference(modus_ponens,[status(thm)],[37562, 37561])).
% 17.49/12.74 tff(37564,plain,
% 17.49/12.74 ((~v170(constB179)) | (~v171(constB179))),
% 17.49/12.74 inference(unit_resolution,[status(thm)],[37563, 13061])).
% 17.49/12.74 tff(37565,plain,
% 17.49/12.74 (~v170(constB179)),
% 17.49/12.74 inference(unit_resolution,[status(thm)],[37564, 37557])).
% 17.49/12.74 tff(37566,plain,
% 17.49/12.74 ((~![VarCurr: $i] : (v166(VarCurr) <=> (v145(VarCurr) | v167(VarCurr)))) | (v166(constB179) <=> (v145(constB179) | v167(constB179)))),
% 17.49/12.74 inference(quant_inst,[status(thm)],[])).
% 17.49/12.74 tff(37567,plain,
% 17.49/12.74 (v166(constB179) <=> (v145(constB179) | v167(constB179))),
% 17.49/12.74 inference(unit_resolution,[status(thm)],[37566, 13079])).
% 17.49/12.74 tff(37568,plain,
% 17.49/12.74 ((~![VarCurr: $i] : (v167(VarCurr) <=> (v142(VarCurr) | v168(VarCurr)))) | (v167(constB179) <=> (v142(constB179) | v168(constB179)))),
% 17.49/12.74 inference(quant_inst,[status(thm)],[])).
% 17.49/12.74 tff(37569,plain,
% 17.49/12.74 (v167(constB179) <=> (v142(constB179) | v168(constB179))),
% 17.49/12.74 inference(unit_resolution,[status(thm)],[37568, 13091])).
% 17.49/12.74 tff(37570,plain,
% 17.49/12.74 ((v142(constB179) | v168(constB179)) | (~v142(constB179))),
% 17.49/12.74 inference(tautology,[status(thm)],[])).
% 17.49/12.74 tff(37571,plain,
% 17.49/12.74 (v142(constB179) | v168(constB179)),
% 17.49/12.74 inference(unit_resolution,[status(thm)],[37570, 35209])).
% 17.49/12.74 tff(37572,plain,
% 17.49/12.74 ((~(v167(constB179) <=> (v142(constB179) | v168(constB179)))) | v167(constB179) | (~(v142(constB179) | v168(constB179)))),
% 17.49/12.74 inference(tautology,[status(thm)],[])).
% 17.49/12.74 tff(37573,plain,
% 17.49/12.74 (v167(constB179)),
% 17.49/12.74 inference(unit_resolution,[status(thm)],[37572, 37571, 37569])).
% 17.49/12.74 tff(37574,plain,
% 17.49/12.74 ((v145(constB179) | v167(constB179)) | (~v167(constB179))),
% 17.49/12.74 inference(tautology,[status(thm)],[])).
% 17.49/12.74 tff(37575,plain,
% 17.49/12.74 (v145(constB179) | v167(constB179)),
% 17.49/12.74 inference(unit_resolution,[status(thm)],[37574, 37573])).
% 17.49/12.74 tff(37576,plain,
% 17.49/12.74 ((~(v166(constB179) <=> (v145(constB179) | v167(constB179)))) | v166(constB179) | (~(v145(constB179) | v167(constB179)))),
% 17.49/12.74 inference(tautology,[status(thm)],[])).
% 17.49/12.74 tff(37577,plain,
% 17.49/12.74 (v166(constB179)),
% 17.49/12.74 inference(unit_resolution,[status(thm)],[37576, 37575, 37567])).
% 17.49/12.74 tff(37578,plain,
% 17.49/12.74 (((~![VarNext: $i] : ((~v166(VarNext)) | (v163(VarNext) <=> v170(VarNext)))) | ((~v166(constB179)) | (v163(constB179) <=> v170(constB179)))) <=> ((~![VarNext: $i] : ((~v166(VarNext)) | (v163(VarNext) <=> v170(VarNext)))) | (~v166(constB179)) | (v163(constB179) <=> v170(constB179)))),
% 17.49/12.74 inference(rewrite,[status(thm)],[])).
% 17.49/12.74 tff(37579,plain,
% 17.49/12.74 ((~![VarNext: $i] : ((~v166(VarNext)) | (v163(VarNext) <=> v170(VarNext)))) | ((~v166(constB179)) | (v163(constB179) <=> v170(constB179)))),
% 17.49/12.74 inference(quant_inst,[status(thm)],[])).
% 17.49/12.74 tff(37580,plain,
% 17.49/12.74 ((~![VarNext: $i] : ((~v166(VarNext)) | (v163(VarNext) <=> v170(VarNext)))) | (~v166(constB179)) | (v163(constB179) <=> v170(constB179))),
% 17.49/12.74 inference(modus_ponens,[status(thm)],[37579, 37578])).
% 17.49/12.74 tff(37581,plain,
% 17.49/12.74 ((~v166(constB179)) | (v163(constB179) <=> v170(constB179))),
% 17.49/12.74 inference(unit_resolution,[status(thm)],[37580, 13111])).
% 17.49/12.74 tff(37582,plain,
% 17.49/12.74 (v163(constB179) <=> v170(constB179)),
% 17.49/12.74 inference(unit_resolution,[status(thm)],[37581, 37577])).
% 17.49/12.74 tff(37583,plain,
% 17.49/12.74 ((~(v163(constB179) <=> v170(constB179))) | (~v163(constB179)) | v170(constB179)),
% 17.49/12.74 inference(tautology,[status(thm)],[])).
% 17.49/12.74 tff(37584,plain,
% 17.49/12.74 (~v163(constB179)),
% 17.49/12.74 inference(unit_resolution,[status(thm)],[37583, 37582, 37565])).
% 17.49/12.74 tff(37585,plain,
% 17.49/12.74 ((~(v161(constB179) <=> v163(constB179))) | (~v161(constB179)) | v163(constB179)),
% 17.49/12.74 inference(tautology,[status(thm)],[])).
% 17.49/12.74 tff(37586,plain,
% 17.49/12.74 (~v161(constB179)),
% 17.49/12.74 inference(unit_resolution,[status(thm)],[37585, 37584, 37551])).
% 17.49/12.74 tff(37587,plain,
% 17.49/12.74 ((~(v186(constB180) <=> v161(constB179))) | (~v186(constB180)) | v161(constB179)),
% 17.49/12.74 inference(tautology,[status(thm)],[])).
% 17.49/12.74 tff(37588,plain,
% 17.49/12.74 (~v186(constB180)),
% 17.49/12.74 inference(unit_resolution,[status(thm)],[37587, 37586, 37549])).
% 17.49/12.74 tff(37589,plain,
% 17.49/12.74 ((~(v159(constB180) <=> v186(constB180))) | (~v159(constB180)) | v186(constB180)),
% 17.49/12.74 inference(tautology,[status(thm)],[])).
% 17.49/12.74 tff(37590,plain,
% 17.49/12.74 (~v159(constB180)),
% 17.49/12.74 inference(unit_resolution,[status(thm)],[37589, 37588, 37545])).
% 17.49/12.74 tff(37591,plain,
% 17.49/12.74 ((~(v159(constB181) <=> v159(constB180))) | (~v159(constB181)) | v159(constB180)),
% 17.49/12.74 inference(tautology,[status(thm)],[])).
% 17.49/12.74 tff(37592,plain,
% 17.49/12.74 (~v159(constB181)),
% 17.49/12.74 inference(unit_resolution,[status(thm)],[37591, 37590, 37517])).
% 17.49/12.74 tff(37593,plain,
% 17.49/12.74 (((~v159(constB181)) | (~v161(constB181))) | v159(constB181)),
% 17.49/12.74 inference(tautology,[status(thm)],[])).
% 17.49/12.74 tff(37594,plain,
% 17.49/12.74 ((~v159(constB181)) | (~v161(constB181))),
% 17.49/12.74 inference(unit_resolution,[status(thm)],[37593, 37592])).
% 17.49/12.74 tff(37595,plain,
% 17.49/12.74 ((~(v201(constB181) <=> (~((~v159(constB181)) | (~v161(constB181)))))) | (~v201(constB181)) | (~((~v159(constB181)) | (~v161(constB181))))),
% 17.49/12.74 inference(tautology,[status(thm)],[])).
% 17.49/12.74 tff(37596,plain,
% 17.49/12.74 (~v201(constB181)),
% 17.49/12.74 inference(unit_resolution,[status(thm)],[37595, 37594, 37491])).
% 17.49/12.74 tff(37597,plain,
% 17.49/12.74 (((~v197(constB181)) | (~v201(constB181))) | v201(constB181)),
% 17.49/12.74 inference(tautology,[status(thm)],[])).
% 17.49/12.74 tff(37598,plain,
% 17.49/12.74 ((~v197(constB181)) | (~v201(constB181))),
% 17.49/12.74 inference(unit_resolution,[status(thm)],[37597, 37596])).
% 17.49/12.74 tff(37599,plain,
% 17.49/12.74 ((~(v200(constB181) <=> (~((~v197(constB181)) | (~v201(constB181)))))) | (~v200(constB181)) | (~((~v197(constB181)) | (~v201(constB181))))),
% 17.49/12.74 inference(tautology,[status(thm)],[])).
% 17.49/12.74 tff(37600,plain,
% 17.49/12.74 (~v200(constB181)),
% 17.49/12.74 inference(unit_resolution,[status(thm)],[37599, 37598, 37489])).
% 17.49/12.74 tff(37601,plain,
% 17.49/12.74 (((~v199(constB181)) | (~v200(constB181))) | v200(constB181)),
% 17.49/12.74 inference(tautology,[status(thm)],[])).
% 17.49/12.74 tff(37602,plain,
% 17.49/12.74 ((~v199(constB181)) | (~v200(constB181))),
% 17.49/12.74 inference(unit_resolution,[status(thm)],[37601, 37600])).
% 17.49/12.74 tff(37603,plain,
% 17.49/12.74 ((~(v198(constB181) <=> (~((~v199(constB181)) | (~v200(constB181)))))) | (~v198(constB181)) | (~((~v199(constB181)) | (~v200(constB181))))),
% 17.49/12.74 inference(tautology,[status(thm)],[])).
% 17.49/12.74 tff(37604,plain,
% 17.49/12.74 (~v198(constB181)),
% 17.49/12.74 inference(unit_resolution,[status(thm)],[37603, 37602, 37487])).
% 17.49/12.74 tff(37605,plain,
% 17.49/12.74 ((~(v194(constB181) | v198(constB181))) | v194(constB181) | v198(constB181)),
% 17.49/12.74 inference(tautology,[status(thm)],[])).
% 17.49/12.74 tff(37606,plain,
% 17.49/12.74 (~(v194(constB181) | v198(constB181))),
% 17.49/12.74 inference(unit_resolution,[status(thm)],[37605, 37604, 37485])).
% 17.49/12.74 tff(37607,plain,
% 17.49/12.74 ((~(v191(constB181) <=> (v194(constB181) | v198(constB181)))) | (~v191(constB181)) | (v194(constB181) | v198(constB181))),
% 17.49/12.75 inference(tautology,[status(thm)],[])).
% 17.49/12.75 tff(37608,plain,
% 17.49/12.75 (~v191(constB181)),
% 17.49/12.75 inference(unit_resolution,[status(thm)],[37607, 37606, 37412])).
% 17.49/12.75 tff(37609,plain,
% 17.49/12.75 ((~(v193(constB182) <=> v191(constB181))) | (~v193(constB182)) | v191(constB181)),
% 17.49/12.75 inference(tautology,[status(thm)],[])).
% 17.49/12.75 tff(37610,plain,
% 17.49/12.75 (~v193(constB182)),
% 17.49/12.75 inference(unit_resolution,[status(thm)],[37609, 37608, 37410])).
% 17.49/12.75 tff(37611,plain,
% 17.49/12.75 ((~(v157(constB182) <=> v193(constB182))) | (~v157(constB182)) | v193(constB182)),
% 17.49/12.75 inference(tautology,[status(thm)],[])).
% 17.49/12.75 tff(37612,plain,
% 17.49/12.75 (~v157(constB182)),
% 17.49/12.75 inference(unit_resolution,[status(thm)],[37611, 37610, 37406])).
% 17.49/12.75 tff(37613,plain,
% 17.49/12.75 (((~v157(constB182)) | (~v195(constB182))) | v157(constB182)),
% 17.49/12.75 inference(tautology,[status(thm)],[])).
% 17.49/12.75 tff(37614,plain,
% 17.49/12.75 ((~v157(constB182)) | (~v195(constB182))),
% 17.49/12.75 inference(unit_resolution,[status(thm)],[37613, 37612])).
% 17.49/12.75 tff(37615,plain,
% 17.49/12.75 ((~(v194(constB182) <=> (~((~v157(constB182)) | (~v195(constB182)))))) | (~v194(constB182)) | (~((~v157(constB182)) | (~v195(constB182))))),
% 17.49/12.75 inference(tautology,[status(thm)],[])).
% 17.49/12.75 tff(37616,plain,
% 17.49/12.75 (~v194(constB182)),
% 17.49/12.75 inference(unit_resolution,[status(thm)],[37615, 37614, 37404])).
% 17.49/12.75 tff(37617,plain,
% 17.49/12.75 ((~(v194(constB182) | v198(constB182))) | v194(constB182) | v198(constB182)),
% 17.49/12.75 inference(tautology,[status(thm)],[])).
% 17.49/12.75 tff(37618,plain,
% 17.49/12.75 (~(v194(constB182) | v198(constB182))),
% 17.49/12.75 inference(unit_resolution,[status(thm)],[37617, 37616, 37397])).
% 17.49/12.75 tff(37619,plain,
% 17.49/12.75 ((~(v191(constB182) <=> (v194(constB182) | v198(constB182)))) | (~v191(constB182)) | (v194(constB182) | v198(constB182))),
% 17.49/12.75 inference(tautology,[status(thm)],[])).
% 17.49/12.75 tff(37620,plain,
% 17.49/12.75 (~v191(constB182)),
% 17.49/12.75 inference(unit_resolution,[status(thm)],[37619, 37618, 37372])).
% 17.49/12.75 tff(37621,plain,
% 17.49/12.75 ((~(v193(constB183) <=> v191(constB182))) | (~v193(constB183)) | v191(constB182)),
% 17.49/12.75 inference(tautology,[status(thm)],[])).
% 17.49/12.75 tff(37622,plain,
% 17.49/12.75 (~v193(constB183)),
% 17.49/12.75 inference(unit_resolution,[status(thm)],[37621, 37620, 37370])).
% 17.49/12.75 tff(37623,plain,
% 17.49/12.75 ($false),
% 17.49/12.75 inference(unit_resolution,[status(thm)],[37622, 37366])).
% 17.49/12.75 tff(37624,plain,(~(constB183 = VarCurr!0)), inference(lemma,lemma(discharge,[]))).
% 17.49/12.75 tff(37625,assumption,(constB57 = VarCurr!0), introduced(assumption)).
% 17.49/12.75 tff(37626,plain,
% 17.49/12.75 (v193(constB57) <=> v193(VarCurr!0)),
% 17.49/12.75 inference(monotonicity,[status(thm)],[37625])).
% 17.49/12.75 tff(37627,plain,
% 17.49/12.75 (v193(VarCurr!0) <=> v193(constB57)),
% 17.49/12.75 inference(symmetry,[status(thm)],[37626])).
% 17.49/12.75 tff(37628,plain,
% 17.49/12.75 (v193(constB57)),
% 17.49/12.75 inference(modus_ponens,[status(thm)],[59, 37627])).
% 17.49/12.75 tff(37629,plain,
% 17.49/12.75 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v193(VarNext) <=> v191(VarCurr)))) | ((~nextState(constB56, constB57)) | (v193(constB57) <=> v191(constB56)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v193(VarNext) <=> v191(VarCurr)))) | (~nextState(constB56, constB57)) | (v193(constB57) <=> v191(constB56)))),
% 17.49/12.75 inference(rewrite,[status(thm)],[])).
% 17.49/12.75 tff(37630,plain,
% 17.49/12.75 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v193(VarNext) <=> v191(VarCurr)))) | ((~nextState(constB56, constB57)) | (v193(constB57) <=> v191(constB56)))),
% 17.49/12.75 inference(quant_inst,[status(thm)],[])).
% 17.49/12.75 tff(37631,plain,
% 17.49/12.75 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v193(VarNext) <=> v191(VarCurr)))) | (~nextState(constB56, constB57)) | (v193(constB57) <=> v191(constB56))),
% 17.49/12.75 inference(modus_ponens,[status(thm)],[37630, 37629])).
% 17.49/12.75 tff(37632,plain,
% 17.49/12.75 (v193(constB57) <=> v191(constB56)),
% 17.49/12.75 inference(unit_resolution,[status(thm)],[37631, 2378, 70])).
% 17.49/12.75 tff(37633,plain,
% 17.49/12.75 ((~![VarCurr: $i] : (v191(VarCurr) <=> (v194(VarCurr) | v198(VarCurr)))) | (v191(constB56) <=> (v194(constB56) | v198(constB56)))),
% 17.49/12.75 inference(quant_inst,[status(thm)],[])).
% 17.49/12.75 tff(37634,plain,
% 17.49/12.75 (v191(constB56) <=> (v194(constB56) | v198(constB56))),
% 17.49/12.75 inference(unit_resolution,[status(thm)],[37633, 84])).
% 17.49/12.75 tff(37635,plain,
% 17.49/12.75 ((~![VarCurr: $i] : (v198(VarCurr) <=> (~((~v199(VarCurr)) | (~v200(VarCurr)))))) | (v198(constB56) <=> (~((~v199(constB56)) | (~v200(constB56)))))),
% 17.49/12.75 inference(quant_inst,[status(thm)],[])).
% 17.49/12.75 tff(37636,plain,
% 17.49/12.75 (v198(constB56) <=> (~((~v199(constB56)) | (~v200(constB56))))),
% 17.49/12.75 inference(unit_resolution,[status(thm)],[37635, 96])).
% 17.49/12.75 tff(37637,plain,
% 17.49/12.75 ((~![VarCurr: $i] : (v200(VarCurr) <=> (~((~v197(VarCurr)) | (~v201(VarCurr)))))) | (v200(constB56) <=> (~((~v197(constB56)) | (~v201(constB56)))))),
% 17.49/12.75 inference(quant_inst,[status(thm)],[])).
% 17.49/12.75 tff(37638,plain,
% 17.49/12.75 (v200(constB56) <=> (~((~v197(constB56)) | (~v201(constB56))))),
% 17.49/12.75 inference(unit_resolution,[status(thm)],[37637, 108])).
% 17.49/12.75 tff(37639,plain,
% 17.49/12.75 ((~![VarCurr: $i] : (v197(VarCurr) <=> (~((~v39(VarCurr)) | (~v9(VarCurr)))))) | (v197(constB56) <=> (~((~v39(constB56)) | (~v9(constB56)))))),
% 17.49/12.75 inference(quant_inst,[status(thm)],[])).
% 17.49/12.75 tff(37640,plain,
% 17.49/12.75 (v197(constB56) <=> (~((~v39(constB56)) | (~v9(constB56))))),
% 17.49/12.75 inference(unit_resolution,[status(thm)],[37639, 120])).
% 17.49/12.75 tff(37641,plain,
% 17.49/12.75 ((~![VarCurr: $i] : ((~v39(VarCurr)) <=> v1(VarCurr))) | ((~v39(constB56)) <=> v1(constB56))),
% 17.49/12.75 inference(quant_inst,[status(thm)],[])).
% 17.49/12.75 tff(37642,plain,
% 17.49/12.75 ((~v39(constB56)) <=> v1(constB56)),
% 17.49/12.75 inference(unit_resolution,[status(thm)],[37641, 129])).
% 17.49/12.75 tff(37643,plain,
% 17.49/12.75 ((~((~v39(constB56)) <=> v1(constB56))) | (~v39(constB56)) | (~v1(constB56))),
% 17.49/12.75 inference(tautology,[status(thm)],[])).
% 17.49/12.75 tff(37644,plain,
% 17.49/12.75 ((~((~v39(constB56)) <=> v1(constB56))) | (~v39(constB56))),
% 17.49/12.75 inference(unit_resolution,[status(thm)],[37643, 2440])).
% 17.49/12.75 tff(37645,plain,
% 17.49/12.75 (~v39(constB56)),
% 17.49/12.75 inference(unit_resolution,[status(thm)],[37644, 37642])).
% 17.49/12.75 tff(37646,plain,
% 17.49/12.75 (((~v39(constB56)) | (~v9(constB56))) | v39(constB56)),
% 17.49/12.75 inference(tautology,[status(thm)],[])).
% 17.49/12.75 tff(37647,plain,
% 17.49/12.75 ((~v39(constB56)) | (~v9(constB56))),
% 17.49/12.75 inference(unit_resolution,[status(thm)],[37646, 37645])).
% 17.49/12.75 tff(37648,plain,
% 17.49/12.75 ((~(v197(constB56) <=> (~((~v39(constB56)) | (~v9(constB56)))))) | (~v197(constB56)) | (~((~v39(constB56)) | (~v9(constB56))))),
% 17.49/12.75 inference(tautology,[status(thm)],[])).
% 17.49/12.75 tff(37649,plain,
% 17.49/12.75 ((~(v197(constB56) <=> (~((~v39(constB56)) | (~v9(constB56)))))) | (~v197(constB56))),
% 17.49/12.75 inference(unit_resolution,[status(thm)],[37648, 37647])).
% 17.49/12.75 tff(37650,plain,
% 17.49/12.75 (~v197(constB56)),
% 17.49/12.75 inference(unit_resolution,[status(thm)],[37649, 37640])).
% 17.49/12.75 tff(37651,plain,
% 17.49/12.75 (((~v197(constB56)) | (~v201(constB56))) | v197(constB56)),
% 17.49/12.75 inference(tautology,[status(thm)],[])).
% 17.49/12.75 tff(37652,plain,
% 17.49/12.75 ((~v197(constB56)) | (~v201(constB56))),
% 17.49/12.75 inference(unit_resolution,[status(thm)],[37651, 37650])).
% 17.49/12.75 tff(37653,plain,
% 17.49/12.75 ((~(v200(constB56) <=> (~((~v197(constB56)) | (~v201(constB56)))))) | (~v200(constB56)) | (~((~v197(constB56)) | (~v201(constB56))))),
% 17.49/12.75 inference(tautology,[status(thm)],[])).
% 17.49/12.75 tff(37654,plain,
% 17.49/12.75 ((~(v200(constB56) <=> (~((~v197(constB56)) | (~v201(constB56)))))) | (~v200(constB56))),
% 17.49/12.75 inference(unit_resolution,[status(thm)],[37653, 37652])).
% 17.49/12.75 tff(37655,plain,
% 17.49/12.75 (~v200(constB56)),
% 17.49/12.75 inference(unit_resolution,[status(thm)],[37654, 37638])).
% 17.49/12.75 tff(37656,plain,
% 17.49/12.75 (((~v199(constB56)) | (~v200(constB56))) | v200(constB56)),
% 17.49/12.75 inference(tautology,[status(thm)],[])).
% 17.49/12.75 tff(37657,plain,
% 17.49/12.75 ((~v199(constB56)) | (~v200(constB56))),
% 17.49/12.75 inference(unit_resolution,[status(thm)],[37656, 37655])).
% 17.49/12.75 tff(37658,plain,
% 17.49/12.75 ((~(v198(constB56) <=> (~((~v199(constB56)) | (~v200(constB56)))))) | (~v198(constB56)) | (~((~v199(constB56)) | (~v200(constB56))))),
% 17.49/12.75 inference(tautology,[status(thm)],[])).
% 17.49/12.75 tff(37659,plain,
% 17.49/12.75 (~v198(constB56)),
% 17.49/12.75 inference(unit_resolution,[status(thm)],[37658, 37657, 37636])).
% 17.49/12.75 tff(37660,plain,
% 17.49/12.75 (((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB56) <=> (~((~v157(constB56)) | (~v195(constB56)))))) <=> ((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB56) <=> (~((~v157(constB56)) | (~v195(constB56))))))),
% 17.49/12.75 inference(rewrite,[status(thm)],[])).
% 17.49/12.75 tff(37661,plain,
% 17.49/12.75 ((v194(constB56) <=> (~((~v195(constB56)) | (~v157(constB56))))) <=> (v194(constB56) <=> (~((~v157(constB56)) | (~v195(constB56)))))),
% 17.49/12.75 inference(rewrite,[status(thm)],[])).
% 17.49/12.75 tff(37662,plain,
% 17.49/12.75 (((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB56) <=> (~((~v195(constB56)) | (~v157(constB56)))))) <=> ((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB56) <=> (~((~v157(constB56)) | (~v195(constB56))))))),
% 17.49/12.75 inference(monotonicity,[status(thm)],[37661])).
% 17.49/12.75 tff(37663,plain,
% 17.49/12.75 (((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB56) <=> (~((~v195(constB56)) | (~v157(constB56)))))) <=> ((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB56) <=> (~((~v157(constB56)) | (~v195(constB56))))))),
% 17.49/12.75 inference(transitivity,[status(thm)],[37662, 37660])).
% 17.49/12.75 tff(37664,plain,
% 17.49/12.75 ((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB56) <=> (~((~v195(constB56)) | (~v157(constB56)))))),
% 17.49/12.75 inference(quant_inst,[status(thm)],[])).
% 17.49/12.75 tff(37665,plain,
% 17.49/12.75 ((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB56) <=> (~((~v157(constB56)) | (~v195(constB56)))))),
% 17.49/12.75 inference(modus_ponens,[status(thm)],[37664, 37663])).
% 17.49/12.75 tff(37666,plain,
% 17.49/12.75 (v194(constB56) <=> (~((~v157(constB56)) | (~v195(constB56))))),
% 17.49/12.75 inference(unit_resolution,[status(thm)],[37665, 161])).
% 17.49/12.75 tff(37667,plain,
% 17.49/12.75 ((~![VarNext: $i] : (v157(VarNext) <=> v193(VarNext))) | (v157(constB56) <=> v193(constB56))),
% 17.49/12.75 inference(quant_inst,[status(thm)],[])).
% 17.49/12.75 tff(37668,plain,
% 17.49/12.75 (v157(constB56) <=> v193(constB56)),
% 17.49/12.75 inference(unit_resolution,[status(thm)],[37667, 13])).
% 17.49/12.75 tff(37669,plain,
% 17.49/12.75 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v193(VarNext) <=> v191(VarCurr)))) | ((~nextState(constB55, constB56)) | (v193(constB56) <=> v191(constB55)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v193(VarNext) <=> v191(VarCurr)))) | (~nextState(constB55, constB56)) | (v193(constB56) <=> v191(constB55)))),
% 17.49/12.75 inference(rewrite,[status(thm)],[])).
% 17.49/12.75 tff(37670,plain,
% 17.49/12.75 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v193(VarNext) <=> v191(VarCurr)))) | ((~nextState(constB55, constB56)) | (v193(constB56) <=> v191(constB55)))),
% 17.49/12.75 inference(quant_inst,[status(thm)],[])).
% 17.49/12.75 tff(37671,plain,
% 17.49/12.75 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v193(VarNext) <=> v191(VarCurr)))) | (~nextState(constB55, constB56)) | (v193(constB56) <=> v191(constB55))),
% 17.49/12.75 inference(modus_ponens,[status(thm)],[37670, 37669])).
% 17.49/12.75 tff(37672,plain,
% 17.49/12.75 (v193(constB56) <=> v191(constB55)),
% 17.49/12.75 inference(unit_resolution,[status(thm)],[37671, 2410, 70])).
% 17.49/12.75 tff(37673,plain,
% 17.49/12.75 ((~![VarCurr: $i] : (v191(VarCurr) <=> (v194(VarCurr) | v198(VarCurr)))) | (v191(constB55) <=> (v194(constB55) | v198(constB55)))),
% 17.49/12.75 inference(quant_inst,[status(thm)],[])).
% 17.49/12.75 tff(37674,plain,
% 17.49/12.75 (v191(constB55) <=> (v194(constB55) | v198(constB55))),
% 17.49/12.75 inference(unit_resolution,[status(thm)],[37673, 84])).
% 17.49/12.75 tff(37675,plain,
% 17.49/12.75 (((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB55) <=> (~((~v157(constB55)) | (~v195(constB55)))))) <=> ((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB55) <=> (~((~v157(constB55)) | (~v195(constB55))))))),
% 17.49/12.75 inference(rewrite,[status(thm)],[])).
% 17.49/12.75 tff(37676,plain,
% 17.49/12.75 ((v194(constB55) <=> (~((~v195(constB55)) | (~v157(constB55))))) <=> (v194(constB55) <=> (~((~v157(constB55)) | (~v195(constB55)))))),
% 17.49/12.75 inference(rewrite,[status(thm)],[])).
% 17.49/12.75 tff(37677,plain,
% 17.49/12.75 (((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB55) <=> (~((~v195(constB55)) | (~v157(constB55)))))) <=> ((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB55) <=> (~((~v157(constB55)) | (~v195(constB55))))))),
% 17.49/12.75 inference(monotonicity,[status(thm)],[37676])).
% 17.49/12.75 tff(37678,plain,
% 17.49/12.75 (((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB55) <=> (~((~v195(constB55)) | (~v157(constB55)))))) <=> ((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB55) <=> (~((~v157(constB55)) | (~v195(constB55))))))),
% 17.49/12.75 inference(transitivity,[status(thm)],[37677, 37675])).
% 17.49/12.75 tff(37679,plain,
% 17.49/12.75 ((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB55) <=> (~((~v195(constB55)) | (~v157(constB55)))))),
% 17.49/12.75 inference(quant_inst,[status(thm)],[])).
% 17.49/12.75 tff(37680,plain,
% 17.49/12.75 ((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB55) <=> (~((~v157(constB55)) | (~v195(constB55)))))),
% 17.49/12.75 inference(modus_ponens,[status(thm)],[37679, 37678])).
% 17.49/12.75 tff(37681,plain,
% 17.49/12.75 (v194(constB55) <=> (~((~v157(constB55)) | (~v195(constB55))))),
% 17.49/12.75 inference(unit_resolution,[status(thm)],[37680, 161])).
% 17.49/12.75 tff(37682,plain,
% 17.49/12.75 ((~![VarCurr: $i] : ((~v195(VarCurr)) <=> v196(VarCurr))) | ((~v195(constB55)) <=> v196(constB55))),
% 17.49/12.75 inference(quant_inst,[status(thm)],[])).
% 17.49/12.75 tff(37683,plain,
% 17.49/12.75 ((~v195(constB55)) <=> v196(constB55)),
% 17.49/12.75 inference(unit_resolution,[status(thm)],[37682, 193])).
% 17.49/12.75 tff(37684,plain,
% 17.49/12.75 ((~![VarCurr: $i] : (v196(VarCurr) <=> (v197(VarCurr) | v26(VarCurr)))) | (v196(constB55) <=> (v197(constB55) | v26(constB55)))),
% 17.49/12.75 inference(quant_inst,[status(thm)],[])).
% 17.49/12.75 tff(37685,plain,
% 17.49/12.75 (v196(constB55) <=> (v197(constB55) | v26(constB55))),
% 17.49/12.75 inference(unit_resolution,[status(thm)],[37684, 202])).
% 17.49/12.75 tff(37686,plain,
% 17.49/12.75 ((~![VarCurr: $i] : (v197(VarCurr) <=> (~((~v39(VarCurr)) | (~v9(VarCurr)))))) | (v197(constB55) <=> (~((~v39(constB55)) | (~v9(constB55)))))),
% 17.49/12.75 inference(quant_inst,[status(thm)],[])).
% 17.49/12.75 tff(37687,plain,
% 17.49/12.75 (v197(constB55) <=> (~((~v39(constB55)) | (~v9(constB55))))),
% 17.49/12.75 inference(unit_resolution,[status(thm)],[37686, 120])).
% 17.49/12.75 tff(37688,plain,
% 17.49/12.75 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | ((~nextState(constB55, constB56)) | (v13(constB56) <=> v9(constB55)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | (~nextState(constB55, constB56)) | (v13(constB56) <=> v9(constB55)))),
% 17.49/12.75 inference(rewrite,[status(thm)],[])).
% 17.49/12.75 tff(37689,plain,
% 17.49/12.75 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | ((~nextState(constB55, constB56)) | (v13(constB56) <=> v9(constB55)))),
% 17.49/12.75 inference(quant_inst,[status(thm)],[])).
% 17.49/12.75 tff(37690,plain,
% 17.49/12.75 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | (~nextState(constB55, constB56)) | (v13(constB56) <=> v9(constB55))),
% 17.49/12.75 inference(modus_ponens,[status(thm)],[37689, 37688])).
% 17.49/12.75 tff(37691,plain,
% 17.49/12.75 (v13(constB56) <=> v9(constB55)),
% 17.49/12.75 inference(unit_resolution,[status(thm)],[37690, 2410, 216])).
% 17.49/12.75 tff(37692,plain,
% 17.49/12.75 ((~![VarNext: $i] : (v6(VarNext) <=> v13(VarNext))) | (v6(constB56) <=> v13(constB56))),
% 17.49/12.75 inference(quant_inst,[status(thm)],[])).
% 17.49/12.75 tff(37693,plain,
% 17.49/12.75 (v6(constB56) <=> v13(constB56)),
% 17.49/12.75 inference(unit_resolution,[status(thm)],[37692, 230])).
% 17.49/12.75 tff(37694,plain,
% 17.49/12.75 ((~![VarCurr: $i] : ((~v21(VarCurr)) <=> v6(VarCurr))) | ((~v21(constB56)) <=> v6(constB56))),
% 17.49/12.75 inference(quant_inst,[status(thm)],[])).
% 17.49/12.75 tff(37695,plain,
% 17.49/12.75 ((~v21(constB56)) <=> v6(constB56)),
% 17.49/12.75 inference(unit_resolution,[status(thm)],[37694, 239])).
% 17.49/12.75 tff(37696,plain,
% 17.49/12.75 ((~![VarCurr: $i] : (v19(VarCurr) <=> (v20(VarCurr) | v21(VarCurr)))) | (v19(constB56) <=> (v20(constB56) | v21(constB56)))),
% 17.49/12.75 inference(quant_inst,[status(thm)],[])).
% 17.49/12.75 tff(37697,plain,
% 17.49/12.75 (v19(constB56) <=> (v20(constB56) | v21(constB56))),
% 17.49/12.75 inference(unit_resolution,[status(thm)],[37696, 248])).
% 17.49/12.75 tff(37698,plain,
% 17.49/12.75 ((~![VarCurr: $i] : (v18(VarCurr) <=> (~((~v19(VarCurr)) | (~v22(VarCurr)))))) | (v18(constB56) <=> (~((~v19(constB56)) | (~v22(constB56)))))),
% 17.49/12.75 inference(quant_inst,[status(thm)],[])).
% 17.49/12.76 tff(37699,plain,
% 17.49/12.76 (v18(constB56) <=> (~((~v19(constB56)) | (~v22(constB56))))),
% 17.49/12.76 inference(unit_resolution,[status(thm)],[37698, 260])).
% 17.49/12.76 tff(37700,plain,
% 17.49/12.76 ((~![VarCurr: $i] : ((~v4(VarCurr)) <=> v18(VarCurr))) | ((~v4(constB56)) <=> v18(constB56))),
% 17.49/12.76 inference(quant_inst,[status(thm)],[])).
% 17.49/12.76 tff(37701,plain,
% 17.49/12.76 ((~v4(constB56)) <=> v18(constB56)),
% 17.49/12.76 inference(unit_resolution,[status(thm)],[37700, 269])).
% 17.49/12.76 tff(37702,plain,
% 17.49/12.76 ((~![VarCurr: $i] : v4(VarCurr)) | v4(constB56)),
% 17.49/12.76 inference(quant_inst,[status(thm)],[])).
% 17.49/12.76 tff(37703,plain,
% 17.49/12.76 (v4(constB56)),
% 17.49/12.76 inference(unit_resolution,[status(thm)],[37702, 278])).
% 17.49/12.76 tff(37704,plain,
% 17.49/12.76 ((~((~v4(constB56)) <=> v18(constB56))) | (~v4(constB56)) | (~v18(constB56))),
% 17.49/12.76 inference(tautology,[status(thm)],[])).
% 17.49/12.76 tff(37705,plain,
% 17.49/12.76 (~v18(constB56)),
% 17.49/12.76 inference(unit_resolution,[status(thm)],[37704, 37703, 37701])).
% 17.49/12.76 tff(37706,plain,
% 17.49/12.76 ((~(v18(constB56) <=> (~((~v19(constB56)) | (~v22(constB56)))))) | v18(constB56) | ((~v19(constB56)) | (~v22(constB56)))),
% 17.49/12.76 inference(tautology,[status(thm)],[])).
% 17.49/12.76 tff(37707,plain,
% 17.49/12.76 ((~v19(constB56)) | (~v22(constB56))),
% 17.49/12.76 inference(unit_resolution,[status(thm)],[37706, 37705, 37699])).
% 17.49/12.76 tff(37708,plain,
% 17.49/12.76 ((~![VarCurr: $i] : (v22(VarCurr) <=> (v1(VarCurr) | v6(VarCurr)))) | (v22(constB56) <=> (v1(constB56) | v6(constB56)))),
% 17.49/12.76 inference(quant_inst,[status(thm)],[])).
% 17.49/12.76 tff(37709,plain,
% 17.49/12.76 (v22(constB56) <=> (v1(constB56) | v6(constB56))),
% 17.49/12.76 inference(unit_resolution,[status(thm)],[37708, 291])).
% 17.49/12.76 tff(37710,plain,
% 17.49/12.76 ((v1(constB56) | v6(constB56)) | (~v1(constB56))),
% 17.49/12.76 inference(tautology,[status(thm)],[])).
% 17.49/12.76 tff(37711,plain,
% 17.49/12.76 (v1(constB56) | v6(constB56)),
% 17.49/12.76 inference(unit_resolution,[status(thm)],[37710, 2440])).
% 17.49/12.76 tff(37712,plain,
% 17.49/12.76 ((~(v22(constB56) <=> (v1(constB56) | v6(constB56)))) | v22(constB56) | (~(v1(constB56) | v6(constB56)))),
% 17.49/12.76 inference(tautology,[status(thm)],[])).
% 17.49/12.76 tff(37713,plain,
% 17.49/12.76 ((~(v22(constB56) <=> (v1(constB56) | v6(constB56)))) | v22(constB56)),
% 17.49/12.76 inference(unit_resolution,[status(thm)],[37712, 37711])).
% 17.49/12.76 tff(37714,plain,
% 17.49/12.76 (v22(constB56)),
% 17.49/12.76 inference(unit_resolution,[status(thm)],[37713, 37709])).
% 17.49/12.76 tff(37715,plain,
% 17.49/12.76 ((~((~v19(constB56)) | (~v22(constB56)))) | (~v19(constB56)) | (~v22(constB56))),
% 17.49/12.76 inference(tautology,[status(thm)],[])).
% 17.49/12.76 tff(37716,plain,
% 17.49/12.76 ((~((~v19(constB56)) | (~v22(constB56)))) | (~v19(constB56))),
% 17.49/12.76 inference(unit_resolution,[status(thm)],[37715, 37714])).
% 17.49/12.76 tff(37717,plain,
% 17.49/12.76 (~v19(constB56)),
% 17.49/12.76 inference(unit_resolution,[status(thm)],[37716, 37707])).
% 17.49/12.76 tff(37718,plain,
% 17.49/12.76 ((~(v19(constB56) <=> (v20(constB56) | v21(constB56)))) | v19(constB56) | (~(v20(constB56) | v21(constB56)))),
% 17.49/12.76 inference(tautology,[status(thm)],[])).
% 17.49/12.76 tff(37719,plain,
% 17.49/12.76 (~(v20(constB56) | v21(constB56))),
% 17.49/12.76 inference(unit_resolution,[status(thm)],[37718, 37717, 37697])).
% 17.49/12.76 tff(37720,plain,
% 17.49/12.76 ((v20(constB56) | v21(constB56)) | (~v21(constB56))),
% 17.49/12.76 inference(tautology,[status(thm)],[])).
% 17.49/12.76 tff(37721,plain,
% 17.49/12.76 (~v21(constB56)),
% 17.49/12.76 inference(unit_resolution,[status(thm)],[37720, 37719])).
% 17.49/12.76 tff(37722,plain,
% 17.49/12.76 ((~((~v21(constB56)) <=> v6(constB56))) | v21(constB56) | v6(constB56)),
% 17.49/12.76 inference(tautology,[status(thm)],[])).
% 17.49/12.76 tff(37723,plain,
% 17.49/12.76 (v6(constB56)),
% 17.49/12.76 inference(unit_resolution,[status(thm)],[37722, 37721, 37695])).
% 17.49/12.76 tff(37724,plain,
% 17.49/12.76 ((~(v6(constB56) <=> v13(constB56))) | (~v6(constB56)) | v13(constB56)),
% 17.49/12.76 inference(tautology,[status(thm)],[])).
% 17.49/12.76 tff(37725,plain,
% 17.49/12.76 (v13(constB56)),
% 17.49/12.76 inference(unit_resolution,[status(thm)],[37724, 37723, 37693])).
% 17.49/12.76 tff(37726,plain,
% 17.49/12.76 ((~(v13(constB56) <=> v9(constB55))) | (~v13(constB56)) | v9(constB55)),
% 17.49/12.76 inference(tautology,[status(thm)],[])).
% 17.49/12.76 tff(37727,plain,
% 17.49/12.76 (v9(constB55)),
% 17.49/12.76 inference(unit_resolution,[status(thm)],[37726, 37725, 37691])).
% 17.49/12.76 tff(37728,plain,
% 17.49/12.76 ((~![VarCurr: $i] : ((~v39(VarCurr)) <=> v1(VarCurr))) | ((~v39(constB55)) <=> v1(constB55))),
% 17.49/12.76 inference(quant_inst,[status(thm)],[])).
% 17.49/12.76 tff(37729,plain,
% 17.49/12.76 ((~v39(constB55)) <=> v1(constB55)),
% 17.49/12.76 inference(unit_resolution,[status(thm)],[37728, 129])).
% 17.49/12.76 tff(37730,plain,
% 17.49/12.76 ((~((~v39(constB55)) <=> v1(constB55))) | v39(constB55) | v1(constB55)),
% 17.49/12.76 inference(tautology,[status(thm)],[])).
% 17.49/12.76 tff(37731,plain,
% 17.49/12.76 ((~((~v39(constB55)) <=> v1(constB55))) | v39(constB55)),
% 17.49/12.76 inference(unit_resolution,[status(thm)],[37730, 2432])).
% 17.49/12.76 tff(37732,plain,
% 17.49/12.76 (v39(constB55)),
% 17.49/12.76 inference(unit_resolution,[status(thm)],[37731, 37729])).
% 17.49/12.76 tff(37733,plain,
% 17.49/12.76 ((~((~v39(constB55)) | (~v9(constB55)))) | (~v39(constB55)) | (~v9(constB55))),
% 17.49/12.76 inference(tautology,[status(thm)],[])).
% 17.49/12.76 tff(37734,plain,
% 17.49/12.76 ((~((~v39(constB55)) | (~v9(constB55)))) | (~v9(constB55))),
% 17.49/12.76 inference(unit_resolution,[status(thm)],[37733, 37732])).
% 17.49/12.76 tff(37735,plain,
% 17.49/12.76 (~((~v39(constB55)) | (~v9(constB55)))),
% 17.49/12.76 inference(unit_resolution,[status(thm)],[37734, 37727])).
% 17.49/12.76 tff(37736,plain,
% 17.49/12.76 ((~(v197(constB55) <=> (~((~v39(constB55)) | (~v9(constB55)))))) | v197(constB55) | ((~v39(constB55)) | (~v9(constB55)))),
% 17.49/12.76 inference(tautology,[status(thm)],[])).
% 17.49/12.76 tff(37737,plain,
% 17.49/12.76 (v197(constB55)),
% 17.49/12.76 inference(unit_resolution,[status(thm)],[37736, 37735, 37687])).
% 17.49/12.76 tff(37738,plain,
% 17.49/12.76 ((v197(constB55) | v26(constB55)) | (~v197(constB55))),
% 17.49/12.76 inference(tautology,[status(thm)],[])).
% 17.49/12.76 tff(37739,plain,
% 17.49/12.76 (v197(constB55) | v26(constB55)),
% 17.49/12.76 inference(unit_resolution,[status(thm)],[37738, 37737])).
% 17.49/12.76 tff(37740,plain,
% 17.49/12.76 ((~(v196(constB55) <=> (v197(constB55) | v26(constB55)))) | v196(constB55) | (~(v197(constB55) | v26(constB55)))),
% 17.49/12.76 inference(tautology,[status(thm)],[])).
% 17.49/12.76 tff(37741,plain,
% 17.49/12.76 (v196(constB55)),
% 17.49/12.76 inference(unit_resolution,[status(thm)],[37740, 37739, 37685])).
% 17.49/12.76 tff(37742,plain,
% 17.49/12.76 ((~((~v195(constB55)) <=> v196(constB55))) | (~v195(constB55)) | (~v196(constB55))),
% 17.49/12.76 inference(tautology,[status(thm)],[])).
% 17.49/12.76 tff(37743,plain,
% 17.49/12.76 (~v195(constB55)),
% 17.49/12.76 inference(unit_resolution,[status(thm)],[37742, 37741, 37683])).
% 17.49/12.76 tff(37744,plain,
% 17.49/12.76 (((~v157(constB55)) | (~v195(constB55))) | v195(constB55)),
% 17.49/12.76 inference(tautology,[status(thm)],[])).
% 17.49/12.76 tff(37745,plain,
% 17.49/12.76 ((~v157(constB55)) | (~v195(constB55))),
% 17.49/12.76 inference(unit_resolution,[status(thm)],[37744, 37743])).
% 17.49/12.76 tff(37746,plain,
% 17.49/12.76 ((~(v194(constB55) <=> (~((~v157(constB55)) | (~v195(constB55)))))) | (~v194(constB55)) | (~((~v157(constB55)) | (~v195(constB55))))),
% 17.49/12.76 inference(tautology,[status(thm)],[])).
% 17.49/12.76 tff(37747,plain,
% 17.49/12.76 (~v194(constB55)),
% 17.49/12.76 inference(unit_resolution,[status(thm)],[37746, 37745, 37681])).
% 17.49/12.76 tff(37748,plain,
% 17.49/12.76 ((~![VarCurr: $i] : (v198(VarCurr) <=> (~((~v199(VarCurr)) | (~v200(VarCurr)))))) | (v198(constB55) <=> (~((~v199(constB55)) | (~v200(constB55)))))),
% 17.49/12.76 inference(quant_inst,[status(thm)],[])).
% 17.49/12.76 tff(37749,plain,
% 17.49/12.76 (v198(constB55) <=> (~((~v199(constB55)) | (~v200(constB55))))),
% 17.49/12.76 inference(unit_resolution,[status(thm)],[37748, 96])).
% 17.49/12.76 tff(37750,plain,
% 17.49/12.76 ((~![VarCurr: $i] : (v200(VarCurr) <=> (~((~v197(VarCurr)) | (~v201(VarCurr)))))) | (v200(constB55) <=> (~((~v197(constB55)) | (~v201(constB55)))))),
% 17.49/12.76 inference(quant_inst,[status(thm)],[])).
% 17.49/12.76 tff(37751,plain,
% 17.49/12.76 (v200(constB55) <=> (~((~v197(constB55)) | (~v201(constB55))))),
% 17.49/12.76 inference(unit_resolution,[status(thm)],[37750, 108])).
% 17.49/12.76 tff(37752,plain,
% 17.49/12.76 ((~![VarCurr: $i] : (v201(VarCurr) <=> (~((~v159(VarCurr)) | (~v161(VarCurr)))))) | (v201(constB55) <=> (~((~v159(constB55)) | (~v161(constB55)))))),
% 17.49/12.76 inference(quant_inst,[status(thm)],[])).
% 17.49/12.76 tff(37753,plain,
% 17.49/12.76 (v201(constB55) <=> (~((~v159(constB55)) | (~v161(constB55))))),
% 17.49/12.76 inference(unit_resolution,[status(thm)],[37752, 348])).
% 17.49/12.76 tff(37754,plain,
% 17.49/12.76 ((~![VarCurr: $i] : (v161(VarCurr) <=> v163(VarCurr))) | (v161(constB55) <=> v163(constB55))),
% 17.49/12.76 inference(quant_inst,[status(thm)],[])).
% 17.49/12.76 tff(37755,plain,
% 17.49/12.76 (v161(constB55) <=> v163(constB55)),
% 17.49/12.76 inference(unit_resolution,[status(thm)],[37754, 357])).
% 17.49/12.76 tff(37756,plain,
% 17.49/12.76 ((~![VarCurr: $i] : (v171(VarCurr) <=> (v142(VarCurr) | v150(VarCurr)))) | (v171(constB55) <=> (v142(constB55) | v150(constB55)))),
% 17.49/12.76 inference(quant_inst,[status(thm)],[])).
% 17.49/12.76 tff(37757,plain,
% 17.49/12.76 (v171(constB55) <=> (v142(constB55) | v150(constB55))),
% 17.49/12.76 inference(unit_resolution,[status(thm)],[37756, 369])).
% 17.49/12.76 tff(37758,plain,
% 17.49/12.76 ((v142(constB55) | v150(constB55)) | (~v142(constB55))),
% 17.49/12.76 inference(tautology,[status(thm)],[])).
% 17.49/12.76 tff(37759,plain,
% 17.49/12.76 (v142(constB55) | v150(constB55)),
% 17.49/12.76 inference(unit_resolution,[status(thm)],[37758, 27604])).
% 17.49/12.76 tff(37760,plain,
% 17.49/12.76 ((~(v171(constB55) <=> (v142(constB55) | v150(constB55)))) | v171(constB55) | (~(v142(constB55) | v150(constB55)))),
% 17.49/12.76 inference(tautology,[status(thm)],[])).
% 17.49/12.76 tff(37761,plain,
% 17.49/12.76 (v171(constB55)),
% 17.49/12.76 inference(unit_resolution,[status(thm)],[37760, 37759, 37757])).
% 17.49/12.76 tff(37762,plain,
% 17.49/12.76 (((~![VarCurr: $i] : ((~v171(VarCurr)) | (~v170(VarCurr)))) | ((~v170(constB55)) | (~v171(constB55)))) <=> ((~![VarCurr: $i] : ((~v171(VarCurr)) | (~v170(VarCurr)))) | (~v170(constB55)) | (~v171(constB55)))),
% 17.49/12.76 inference(rewrite,[status(thm)],[])).
% 17.49/12.76 tff(37763,plain,
% 17.49/12.76 (((~v171(constB55)) | (~v170(constB55))) <=> ((~v170(constB55)) | (~v171(constB55)))),
% 17.49/12.76 inference(rewrite,[status(thm)],[])).
% 17.49/12.76 tff(37764,plain,
% 17.49/12.76 (((~![VarCurr: $i] : ((~v171(VarCurr)) | (~v170(VarCurr)))) | ((~v171(constB55)) | (~v170(constB55)))) <=> ((~![VarCurr: $i] : ((~v171(VarCurr)) | (~v170(VarCurr)))) | ((~v170(constB55)) | (~v171(constB55))))),
% 17.49/12.76 inference(monotonicity,[status(thm)],[37763])).
% 17.49/12.76 tff(37765,plain,
% 17.49/12.76 (((~![VarCurr: $i] : ((~v171(VarCurr)) | (~v170(VarCurr)))) | ((~v171(constB55)) | (~v170(constB55)))) <=> ((~![VarCurr: $i] : ((~v171(VarCurr)) | (~v170(VarCurr)))) | (~v170(constB55)) | (~v171(constB55)))),
% 17.49/12.76 inference(transitivity,[status(thm)],[37764, 37762])).
% 17.49/12.76 tff(37766,plain,
% 17.49/12.76 ((~![VarCurr: $i] : ((~v171(VarCurr)) | (~v170(VarCurr)))) | ((~v171(constB55)) | (~v170(constB55)))),
% 17.49/12.76 inference(quant_inst,[status(thm)],[])).
% 17.49/12.76 tff(37767,plain,
% 17.49/12.76 ((~![VarCurr: $i] : ((~v171(VarCurr)) | (~v170(VarCurr)))) | (~v170(constB55)) | (~v171(constB55))),
% 17.49/12.76 inference(modus_ponens,[status(thm)],[37766, 37765])).
% 17.49/12.76 tff(37768,plain,
% 17.49/12.76 ((~v170(constB55)) | (~v171(constB55))),
% 17.49/12.76 inference(unit_resolution,[status(thm)],[37767, 13061])).
% 17.49/12.76 tff(37769,plain,
% 17.49/12.76 (~v170(constB55)),
% 17.49/12.76 inference(unit_resolution,[status(thm)],[37768, 37761])).
% 17.49/12.76 tff(37770,plain,
% 17.49/12.76 ((~![VarCurr: $i] : (v166(VarCurr) <=> (v145(VarCurr) | v167(VarCurr)))) | (v166(constB55) <=> (v145(constB55) | v167(constB55)))),
% 17.49/12.76 inference(quant_inst,[status(thm)],[])).
% 17.49/12.76 tff(37771,plain,
% 17.49/12.76 (v166(constB55) <=> (v145(constB55) | v167(constB55))),
% 17.49/12.76 inference(unit_resolution,[status(thm)],[37770, 13079])).
% 17.49/12.76 tff(37772,plain,
% 17.49/12.76 ((~![VarCurr: $i] : (v167(VarCurr) <=> (v142(VarCurr) | v168(VarCurr)))) | (v167(constB55) <=> (v142(constB55) | v168(constB55)))),
% 17.49/12.76 inference(quant_inst,[status(thm)],[])).
% 17.49/12.76 tff(37773,plain,
% 17.49/12.76 (v167(constB55) <=> (v142(constB55) | v168(constB55))),
% 17.49/12.76 inference(unit_resolution,[status(thm)],[37772, 13091])).
% 17.49/12.76 tff(37774,plain,
% 17.49/12.76 ((v142(constB55) | v168(constB55)) | (~v142(constB55))),
% 17.49/12.76 inference(tautology,[status(thm)],[])).
% 17.49/12.76 tff(37775,plain,
% 17.49/12.76 (v142(constB55) | v168(constB55)),
% 17.49/12.76 inference(unit_resolution,[status(thm)],[37774, 27604])).
% 17.49/12.76 tff(37776,plain,
% 17.49/12.76 ((~(v167(constB55) <=> (v142(constB55) | v168(constB55)))) | v167(constB55) | (~(v142(constB55) | v168(constB55)))),
% 17.49/12.76 inference(tautology,[status(thm)],[])).
% 17.49/12.76 tff(37777,plain,
% 17.49/12.76 (v167(constB55)),
% 17.49/12.76 inference(unit_resolution,[status(thm)],[37776, 37775, 37773])).
% 17.49/12.76 tff(37778,plain,
% 17.49/12.76 ((v145(constB55) | v167(constB55)) | (~v167(constB55))),
% 17.49/12.76 inference(tautology,[status(thm)],[])).
% 17.49/12.76 tff(37779,plain,
% 17.49/12.76 (v145(constB55) | v167(constB55)),
% 17.49/12.76 inference(unit_resolution,[status(thm)],[37778, 37777])).
% 17.49/12.76 tff(37780,plain,
% 17.49/12.76 ((~(v166(constB55) <=> (v145(constB55) | v167(constB55)))) | v166(constB55) | (~(v145(constB55) | v167(constB55)))),
% 17.49/12.76 inference(tautology,[status(thm)],[])).
% 17.49/12.76 tff(37781,plain,
% 17.49/12.76 (v166(constB55)),
% 17.49/12.76 inference(unit_resolution,[status(thm)],[37780, 37779, 37771])).
% 17.49/12.76 tff(37782,plain,
% 17.49/12.76 (((~![VarNext: $i] : ((~v166(VarNext)) | (v163(VarNext) <=> v170(VarNext)))) | ((~v166(constB55)) | (v163(constB55) <=> v170(constB55)))) <=> ((~![VarNext: $i] : ((~v166(VarNext)) | (v163(VarNext) <=> v170(VarNext)))) | (~v166(constB55)) | (v163(constB55) <=> v170(constB55)))),
% 17.49/12.76 inference(rewrite,[status(thm)],[])).
% 17.49/12.76 tff(37783,plain,
% 17.49/12.76 ((~![VarNext: $i] : ((~v166(VarNext)) | (v163(VarNext) <=> v170(VarNext)))) | ((~v166(constB55)) | (v163(constB55) <=> v170(constB55)))),
% 17.49/12.76 inference(quant_inst,[status(thm)],[])).
% 17.49/12.76 tff(37784,plain,
% 17.49/12.76 ((~![VarNext: $i] : ((~v166(VarNext)) | (v163(VarNext) <=> v170(VarNext)))) | (~v166(constB55)) | (v163(constB55) <=> v170(constB55))),
% 17.49/12.76 inference(modus_ponens,[status(thm)],[37783, 37782])).
% 17.49/12.76 tff(37785,plain,
% 17.49/12.76 ((~v166(constB55)) | (v163(constB55) <=> v170(constB55))),
% 17.49/12.76 inference(unit_resolution,[status(thm)],[37784, 13111])).
% 17.49/12.76 tff(37786,plain,
% 17.49/12.76 (v163(constB55) <=> v170(constB55)),
% 17.49/12.76 inference(unit_resolution,[status(thm)],[37785, 37781])).
% 17.49/12.76 tff(37787,plain,
% 17.49/12.76 ((~(v163(constB55) <=> v170(constB55))) | (~v163(constB55)) | v170(constB55)),
% 17.49/12.76 inference(tautology,[status(thm)],[])).
% 17.49/12.76 tff(37788,plain,
% 17.49/12.76 (~v163(constB55)),
% 17.49/12.76 inference(unit_resolution,[status(thm)],[37787, 37786, 37769])).
% 17.49/12.76 tff(37789,plain,
% 17.49/12.76 ((~(v161(constB55) <=> v163(constB55))) | (~v161(constB55)) | v163(constB55)),
% 17.49/12.76 inference(tautology,[status(thm)],[])).
% 17.49/12.76 tff(37790,plain,
% 17.49/12.76 (~v161(constB55)),
% 17.49/12.76 inference(unit_resolution,[status(thm)],[37789, 37788, 37755])).
% 17.49/12.76 tff(37791,plain,
% 17.49/12.76 (((~v159(constB55)) | (~v161(constB55))) | v161(constB55)),
% 17.49/12.76 inference(tautology,[status(thm)],[])).
% 17.49/12.76 tff(37792,plain,
% 17.49/12.76 ((~v159(constB55)) | (~v161(constB55))),
% 17.49/12.76 inference(unit_resolution,[status(thm)],[37791, 37790])).
% 17.49/12.76 tff(37793,plain,
% 17.49/12.76 ((~(v201(constB55) <=> (~((~v159(constB55)) | (~v161(constB55)))))) | (~v201(constB55)) | (~((~v159(constB55)) | (~v161(constB55))))),
% 17.49/12.76 inference(tautology,[status(thm)],[])).
% 17.49/12.76 tff(37794,plain,
% 17.49/12.76 (~v201(constB55)),
% 17.49/12.76 inference(unit_resolution,[status(thm)],[37793, 37792, 37753])).
% 17.49/12.76 tff(37795,plain,
% 17.49/12.76 (((~v197(constB55)) | (~v201(constB55))) | v201(constB55)),
% 17.49/12.76 inference(tautology,[status(thm)],[])).
% 17.49/12.76 tff(37796,plain,
% 17.49/12.76 ((~v197(constB55)) | (~v201(constB55))),
% 17.49/12.76 inference(unit_resolution,[status(thm)],[37795, 37794])).
% 17.49/12.76 tff(37797,plain,
% 17.49/12.76 ((~(v200(constB55) <=> (~((~v197(constB55)) | (~v201(constB55)))))) | (~v200(constB55)) | (~((~v197(constB55)) | (~v201(constB55))))),
% 17.49/12.76 inference(tautology,[status(thm)],[])).
% 17.49/12.76 tff(37798,plain,
% 17.49/12.76 (~v200(constB55)),
% 17.49/12.76 inference(unit_resolution,[status(thm)],[37797, 37796, 37751])).
% 17.49/12.76 tff(37799,plain,
% 17.49/12.76 (((~v199(constB55)) | (~v200(constB55))) | v200(constB55)),
% 17.49/12.76 inference(tautology,[status(thm)],[])).
% 17.49/12.76 tff(37800,plain,
% 17.49/12.76 ((~v199(constB55)) | (~v200(constB55))),
% 17.49/12.76 inference(unit_resolution,[status(thm)],[37799, 37798])).
% 17.49/12.76 tff(37801,plain,
% 17.49/12.76 ((~(v198(constB55) <=> (~((~v199(constB55)) | (~v200(constB55)))))) | (~v198(constB55)) | (~((~v199(constB55)) | (~v200(constB55))))),
% 17.49/12.76 inference(tautology,[status(thm)],[])).
% 17.49/12.76 tff(37802,plain,
% 17.49/12.76 (~v198(constB55)),
% 17.49/12.76 inference(unit_resolution,[status(thm)],[37801, 37800, 37749])).
% 17.49/12.76 tff(37803,plain,
% 17.49/12.76 ((~(v194(constB55) | v198(constB55))) | v194(constB55) | v198(constB55)),
% 17.49/12.76 inference(tautology,[status(thm)],[])).
% 17.49/12.76 tff(37804,plain,
% 17.49/12.76 (~(v194(constB55) | v198(constB55))),
% 17.49/12.76 inference(unit_resolution,[status(thm)],[37803, 37802, 37747])).
% 17.49/12.76 tff(37805,plain,
% 17.49/12.76 ((~(v191(constB55) <=> (v194(constB55) | v198(constB55)))) | (~v191(constB55)) | (v194(constB55) | v198(constB55))),
% 17.49/12.76 inference(tautology,[status(thm)],[])).
% 17.49/12.76 tff(37806,plain,
% 17.49/12.76 (~v191(constB55)),
% 17.49/12.76 inference(unit_resolution,[status(thm)],[37805, 37804, 37674])).
% 17.49/12.76 tff(37807,plain,
% 17.49/12.76 ((~(v193(constB56) <=> v191(constB55))) | (~v193(constB56)) | v191(constB55)),
% 17.49/12.76 inference(tautology,[status(thm)],[])).
% 17.49/12.76 tff(37808,plain,
% 17.49/12.76 (~v193(constB56)),
% 17.49/12.76 inference(unit_resolution,[status(thm)],[37807, 37806, 37672])).
% 17.49/12.76 tff(37809,plain,
% 17.49/12.76 ((~(v157(constB56) <=> v193(constB56))) | (~v157(constB56)) | v193(constB56)),
% 17.49/12.76 inference(tautology,[status(thm)],[])).
% 17.49/12.76 tff(37810,plain,
% 17.49/12.76 (~v157(constB56)),
% 17.49/12.76 inference(unit_resolution,[status(thm)],[37809, 37808, 37668])).
% 17.49/12.76 tff(37811,plain,
% 17.49/12.76 (((~v157(constB56)) | (~v195(constB56))) | v157(constB56)),
% 17.49/12.76 inference(tautology,[status(thm)],[])).
% 17.49/12.76 tff(37812,plain,
% 17.49/12.76 ((~v157(constB56)) | (~v195(constB56))),
% 17.49/12.76 inference(unit_resolution,[status(thm)],[37811, 37810])).
% 17.49/12.76 tff(37813,plain,
% 17.49/12.76 ((~(v194(constB56) <=> (~((~v157(constB56)) | (~v195(constB56)))))) | (~v194(constB56)) | (~((~v157(constB56)) | (~v195(constB56))))),
% 17.49/12.76 inference(tautology,[status(thm)],[])).
% 17.49/12.76 tff(37814,plain,
% 17.49/12.76 (~v194(constB56)),
% 17.49/12.76 inference(unit_resolution,[status(thm)],[37813, 37812, 37666])).
% 17.49/12.76 tff(37815,plain,
% 17.49/12.76 ((~(v194(constB56) | v198(constB56))) | v194(constB56) | v198(constB56)),
% 17.49/12.76 inference(tautology,[status(thm)],[])).
% 17.49/12.76 tff(37816,plain,
% 17.49/12.76 (~(v194(constB56) | v198(constB56))),
% 17.49/12.76 inference(unit_resolution,[status(thm)],[37815, 37814, 37659])).
% 17.49/12.76 tff(37817,plain,
% 17.49/12.76 ((~(v191(constB56) <=> (v194(constB56) | v198(constB56)))) | (~v191(constB56)) | (v194(constB56) | v198(constB56))),
% 17.49/12.76 inference(tautology,[status(thm)],[])).
% 17.49/12.76 tff(37818,plain,
% 17.49/12.76 (~v191(constB56)),
% 17.49/12.76 inference(unit_resolution,[status(thm)],[37817, 37816, 37634])).
% 17.49/12.76 tff(37819,plain,
% 17.49/12.76 ((~(v193(constB57) <=> v191(constB56))) | (~v193(constB57)) | v191(constB56)),
% 17.49/12.76 inference(tautology,[status(thm)],[])).
% 17.49/12.76 tff(37820,plain,
% 17.49/12.76 (~v193(constB57)),
% 17.49/12.76 inference(unit_resolution,[status(thm)],[37819, 37818, 37632])).
% 17.49/12.76 tff(37821,plain,
% 17.49/12.76 ($false),
% 17.49/12.76 inference(unit_resolution,[status(thm)],[37820, 37628])).
% 17.49/12.76 tff(37822,plain,(~(constB57 = VarCurr!0)), inference(lemma,lemma(discharge,[]))).
% 17.49/12.76 tff(37823,assumption,(constB71 = VarCurr!0), introduced(assumption)).
% 17.49/12.76 tff(37824,plain,
% 17.49/12.76 (v193(constB71) <=> v193(VarCurr!0)),
% 17.49/12.76 inference(monotonicity,[status(thm)],[37823])).
% 17.49/12.76 tff(37825,plain,
% 17.49/12.76 (v193(VarCurr!0) <=> v193(constB71)),
% 17.49/12.76 inference(symmetry,[status(thm)],[37824])).
% 17.49/12.76 tff(37826,plain,
% 17.49/12.76 (v193(constB71)),
% 17.49/12.76 inference(modus_ponens,[status(thm)],[59, 37825])).
% 17.49/12.76 tff(37827,plain,
% 17.49/12.76 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v193(VarNext) <=> v191(VarCurr)))) | ((~nextState(constB70, constB71)) | (v193(constB71) <=> v191(constB70)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v193(VarNext) <=> v191(VarCurr)))) | (~nextState(constB70, constB71)) | (v193(constB71) <=> v191(constB70)))),
% 17.49/12.76 inference(rewrite,[status(thm)],[])).
% 17.49/12.76 tff(37828,plain,
% 17.49/12.76 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v193(VarNext) <=> v191(VarCurr)))) | ((~nextState(constB70, constB71)) | (v193(constB71) <=> v191(constB70)))),
% 17.49/12.76 inference(quant_inst,[status(thm)],[])).
% 17.49/12.76 tff(37829,plain,
% 17.49/12.76 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v193(VarNext) <=> v191(VarCurr)))) | (~nextState(constB70, constB71)) | (v193(constB71) <=> v191(constB70))),
% 17.49/12.76 inference(modus_ponens,[status(thm)],[37828, 37827])).
% 17.49/12.76 tff(37830,plain,
% 17.49/12.76 (v193(constB71) <=> v191(constB70)),
% 17.49/12.76 inference(unit_resolution,[status(thm)],[37829, 1723, 70])).
% 17.49/12.76 tff(37831,plain,
% 17.49/12.76 ((~![VarCurr: $i] : (v191(VarCurr) <=> (v194(VarCurr) | v198(VarCurr)))) | (v191(constB70) <=> (v194(constB70) | v198(constB70)))),
% 17.49/12.76 inference(quant_inst,[status(thm)],[])).
% 17.49/12.76 tff(37832,plain,
% 17.49/12.76 (v191(constB70) <=> (v194(constB70) | v198(constB70))),
% 17.49/12.76 inference(unit_resolution,[status(thm)],[37831, 84])).
% 17.49/12.76 tff(37833,plain,
% 17.49/12.76 ((~![VarCurr: $i] : (v198(VarCurr) <=> (~((~v199(VarCurr)) | (~v200(VarCurr)))))) | (v198(constB70) <=> (~((~v199(constB70)) | (~v200(constB70)))))),
% 17.49/12.76 inference(quant_inst,[status(thm)],[])).
% 17.49/12.76 tff(37834,plain,
% 17.49/12.76 (v198(constB70) <=> (~((~v199(constB70)) | (~v200(constB70))))),
% 17.49/12.76 inference(unit_resolution,[status(thm)],[37833, 96])).
% 17.49/12.76 tff(37835,plain,
% 17.49/12.76 ((~![VarCurr: $i] : (v200(VarCurr) <=> (~((~v197(VarCurr)) | (~v201(VarCurr)))))) | (v200(constB70) <=> (~((~v197(constB70)) | (~v201(constB70)))))),
% 17.49/12.76 inference(quant_inst,[status(thm)],[])).
% 17.49/12.76 tff(37836,plain,
% 17.49/12.76 (v200(constB70) <=> (~((~v197(constB70)) | (~v201(constB70))))),
% 17.49/12.76 inference(unit_resolution,[status(thm)],[37835, 108])).
% 17.49/12.76 tff(37837,plain,
% 17.49/12.76 ((~![VarCurr: $i] : (v197(VarCurr) <=> (~((~v39(VarCurr)) | (~v9(VarCurr)))))) | (v197(constB70) <=> (~((~v39(constB70)) | (~v9(constB70)))))),
% 17.49/12.77 inference(quant_inst,[status(thm)],[])).
% 17.49/12.77 tff(37838,plain,
% 17.49/12.77 (v197(constB70) <=> (~((~v39(constB70)) | (~v9(constB70))))),
% 17.49/12.77 inference(unit_resolution,[status(thm)],[37837, 120])).
% 17.49/12.77 tff(37839,plain,
% 17.49/12.77 ((~![VarCurr: $i] : ((~v39(VarCurr)) <=> v1(VarCurr))) | ((~v39(constB70)) <=> v1(constB70))),
% 17.49/12.77 inference(quant_inst,[status(thm)],[])).
% 17.49/12.77 tff(37840,plain,
% 17.49/12.77 ((~v39(constB70)) <=> v1(constB70)),
% 17.49/12.77 inference(unit_resolution,[status(thm)],[37839, 129])).
% 17.49/12.77 tff(37841,plain,
% 17.49/12.77 ((~((~v39(constB70)) <=> v1(constB70))) | (~v39(constB70)) | (~v1(constB70))),
% 17.49/12.77 inference(tautology,[status(thm)],[])).
% 17.49/12.77 tff(37842,plain,
% 17.49/12.77 ((~((~v39(constB70)) <=> v1(constB70))) | (~v39(constB70))),
% 17.49/12.77 inference(unit_resolution,[status(thm)],[37841, 1785])).
% 17.49/12.77 tff(37843,plain,
% 17.49/12.77 (~v39(constB70)),
% 17.49/12.77 inference(unit_resolution,[status(thm)],[37842, 37840])).
% 17.49/12.77 tff(37844,plain,
% 17.49/12.77 (((~v39(constB70)) | (~v9(constB70))) | v39(constB70)),
% 17.49/12.77 inference(tautology,[status(thm)],[])).
% 17.49/12.77 tff(37845,plain,
% 17.49/12.77 ((~v39(constB70)) | (~v9(constB70))),
% 17.49/12.77 inference(unit_resolution,[status(thm)],[37844, 37843])).
% 17.49/12.77 tff(37846,plain,
% 17.49/12.77 ((~(v197(constB70) <=> (~((~v39(constB70)) | (~v9(constB70)))))) | (~v197(constB70)) | (~((~v39(constB70)) | (~v9(constB70))))),
% 17.49/12.77 inference(tautology,[status(thm)],[])).
% 17.49/12.77 tff(37847,plain,
% 17.49/12.77 ((~(v197(constB70) <=> (~((~v39(constB70)) | (~v9(constB70)))))) | (~v197(constB70))),
% 17.49/12.77 inference(unit_resolution,[status(thm)],[37846, 37845])).
% 17.49/12.77 tff(37848,plain,
% 17.49/12.77 (~v197(constB70)),
% 17.49/12.77 inference(unit_resolution,[status(thm)],[37847, 37838])).
% 17.49/12.77 tff(37849,plain,
% 17.49/12.77 (((~v197(constB70)) | (~v201(constB70))) | v197(constB70)),
% 17.49/12.77 inference(tautology,[status(thm)],[])).
% 17.49/12.77 tff(37850,plain,
% 17.49/12.77 ((~v197(constB70)) | (~v201(constB70))),
% 17.49/12.77 inference(unit_resolution,[status(thm)],[37849, 37848])).
% 17.49/12.77 tff(37851,plain,
% 17.49/12.77 ((~(v200(constB70) <=> (~((~v197(constB70)) | (~v201(constB70)))))) | (~v200(constB70)) | (~((~v197(constB70)) | (~v201(constB70))))),
% 17.49/12.77 inference(tautology,[status(thm)],[])).
% 17.49/12.77 tff(37852,plain,
% 17.49/12.77 ((~(v200(constB70) <=> (~((~v197(constB70)) | (~v201(constB70)))))) | (~v200(constB70))),
% 17.49/12.77 inference(unit_resolution,[status(thm)],[37851, 37850])).
% 17.49/12.77 tff(37853,plain,
% 17.49/12.77 (~v200(constB70)),
% 17.49/12.77 inference(unit_resolution,[status(thm)],[37852, 37836])).
% 17.49/12.77 tff(37854,plain,
% 17.49/12.77 (((~v199(constB70)) | (~v200(constB70))) | v200(constB70)),
% 17.49/12.77 inference(tautology,[status(thm)],[])).
% 17.49/12.77 tff(37855,plain,
% 17.49/12.77 ((~v199(constB70)) | (~v200(constB70))),
% 17.49/12.77 inference(unit_resolution,[status(thm)],[37854, 37853])).
% 17.49/12.77 tff(37856,plain,
% 17.49/12.77 ((~(v198(constB70) <=> (~((~v199(constB70)) | (~v200(constB70)))))) | (~v198(constB70)) | (~((~v199(constB70)) | (~v200(constB70))))),
% 17.49/12.77 inference(tautology,[status(thm)],[])).
% 17.49/12.77 tff(37857,plain,
% 17.49/12.77 (~v198(constB70)),
% 17.49/12.77 inference(unit_resolution,[status(thm)],[37856, 37855, 37834])).
% 17.49/12.77 tff(37858,plain,
% 17.49/12.77 (((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB70) <=> (~((~v157(constB70)) | (~v195(constB70)))))) <=> ((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB70) <=> (~((~v157(constB70)) | (~v195(constB70))))))),
% 17.49/12.77 inference(rewrite,[status(thm)],[])).
% 17.49/12.77 tff(37859,plain,
% 17.49/12.77 ((v194(constB70) <=> (~((~v195(constB70)) | (~v157(constB70))))) <=> (v194(constB70) <=> (~((~v157(constB70)) | (~v195(constB70)))))),
% 17.49/12.77 inference(rewrite,[status(thm)],[])).
% 17.49/12.77 tff(37860,plain,
% 17.49/12.77 (((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB70) <=> (~((~v195(constB70)) | (~v157(constB70)))))) <=> ((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB70) <=> (~((~v157(constB70)) | (~v195(constB70))))))),
% 17.49/12.77 inference(monotonicity,[status(thm)],[37859])).
% 17.49/12.77 tff(37861,plain,
% 17.49/12.77 (((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB70) <=> (~((~v195(constB70)) | (~v157(constB70)))))) <=> ((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB70) <=> (~((~v157(constB70)) | (~v195(constB70))))))),
% 17.49/12.77 inference(transitivity,[status(thm)],[37860, 37858])).
% 17.49/12.77 tff(37862,plain,
% 17.49/12.77 ((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB70) <=> (~((~v195(constB70)) | (~v157(constB70)))))),
% 17.49/12.77 inference(quant_inst,[status(thm)],[])).
% 17.49/12.77 tff(37863,plain,
% 17.49/12.77 ((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB70) <=> (~((~v157(constB70)) | (~v195(constB70)))))),
% 17.49/12.77 inference(modus_ponens,[status(thm)],[37862, 37861])).
% 17.49/12.77 tff(37864,plain,
% 17.49/12.77 (v194(constB70) <=> (~((~v157(constB70)) | (~v195(constB70))))),
% 17.49/12.77 inference(unit_resolution,[status(thm)],[37863, 161])).
% 17.49/12.77 tff(37865,plain,
% 17.49/12.77 ((~![VarNext: $i] : (v157(VarNext) <=> v193(VarNext))) | (v157(constB70) <=> v193(constB70))),
% 17.49/12.77 inference(quant_inst,[status(thm)],[])).
% 17.49/12.77 tff(37866,plain,
% 17.49/12.77 (v157(constB70) <=> v193(constB70)),
% 17.49/12.77 inference(unit_resolution,[status(thm)],[37865, 13])).
% 17.49/12.77 tff(37867,plain,
% 17.49/12.77 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v193(VarNext) <=> v191(VarCurr)))) | ((~nextState(constB69, constB70)) | (v193(constB70) <=> v191(constB69)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v193(VarNext) <=> v191(VarCurr)))) | (~nextState(constB69, constB70)) | (v193(constB70) <=> v191(constB69)))),
% 17.49/12.77 inference(rewrite,[status(thm)],[])).
% 17.49/12.77 tff(37868,plain,
% 17.49/12.77 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v193(VarNext) <=> v191(VarCurr)))) | ((~nextState(constB69, constB70)) | (v193(constB70) <=> v191(constB69)))),
% 17.49/12.77 inference(quant_inst,[status(thm)],[])).
% 17.49/12.77 tff(37869,plain,
% 17.49/12.77 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v193(VarNext) <=> v191(VarCurr)))) | (~nextState(constB69, constB70)) | (v193(constB70) <=> v191(constB69))),
% 17.49/12.77 inference(modus_ponens,[status(thm)],[37868, 37867])).
% 17.49/12.77 tff(37870,plain,
% 17.49/12.77 (v193(constB70) <=> v191(constB69)),
% 17.49/12.77 inference(unit_resolution,[status(thm)],[37869, 1755, 70])).
% 17.49/12.77 tff(37871,plain,
% 17.49/12.77 ((~![VarCurr: $i] : (v191(VarCurr) <=> (v194(VarCurr) | v198(VarCurr)))) | (v191(constB69) <=> (v194(constB69) | v198(constB69)))),
% 17.49/12.77 inference(quant_inst,[status(thm)],[])).
% 17.49/12.77 tff(37872,plain,
% 17.49/12.77 (v191(constB69) <=> (v194(constB69) | v198(constB69))),
% 17.49/12.77 inference(unit_resolution,[status(thm)],[37871, 84])).
% 17.49/12.77 tff(37873,plain,
% 17.49/12.77 (((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB69) <=> (~((~v157(constB69)) | (~v195(constB69)))))) <=> ((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB69) <=> (~((~v157(constB69)) | (~v195(constB69))))))),
% 17.49/12.77 inference(rewrite,[status(thm)],[])).
% 17.49/12.77 tff(37874,plain,
% 17.49/12.77 ((v194(constB69) <=> (~((~v195(constB69)) | (~v157(constB69))))) <=> (v194(constB69) <=> (~((~v157(constB69)) | (~v195(constB69)))))),
% 17.49/12.77 inference(rewrite,[status(thm)],[])).
% 17.49/12.77 tff(37875,plain,
% 17.49/12.77 (((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB69) <=> (~((~v195(constB69)) | (~v157(constB69)))))) <=> ((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB69) <=> (~((~v157(constB69)) | (~v195(constB69))))))),
% 17.49/12.77 inference(monotonicity,[status(thm)],[37874])).
% 17.49/12.77 tff(37876,plain,
% 17.49/12.77 (((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB69) <=> (~((~v195(constB69)) | (~v157(constB69)))))) <=> ((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB69) <=> (~((~v157(constB69)) | (~v195(constB69))))))),
% 17.49/12.77 inference(transitivity,[status(thm)],[37875, 37873])).
% 17.49/12.77 tff(37877,plain,
% 17.49/12.77 ((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB69) <=> (~((~v195(constB69)) | (~v157(constB69)))))),
% 17.49/12.77 inference(quant_inst,[status(thm)],[])).
% 17.49/12.77 tff(37878,plain,
% 17.49/12.77 ((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB69) <=> (~((~v157(constB69)) | (~v195(constB69)))))),
% 17.49/12.77 inference(modus_ponens,[status(thm)],[37877, 37876])).
% 17.49/12.77 tff(37879,plain,
% 17.49/12.77 (v194(constB69) <=> (~((~v157(constB69)) | (~v195(constB69))))),
% 17.49/12.77 inference(unit_resolution,[status(thm)],[37878, 161])).
% 17.49/12.77 tff(37880,plain,
% 17.49/12.77 ((~![VarCurr: $i] : ((~v195(VarCurr)) <=> v196(VarCurr))) | ((~v195(constB69)) <=> v196(constB69))),
% 17.49/12.77 inference(quant_inst,[status(thm)],[])).
% 17.49/12.77 tff(37881,plain,
% 17.49/12.77 ((~v195(constB69)) <=> v196(constB69)),
% 17.49/12.77 inference(unit_resolution,[status(thm)],[37880, 193])).
% 17.49/12.77 tff(37882,plain,
% 17.49/12.77 ((~![VarCurr: $i] : (v196(VarCurr) <=> (v197(VarCurr) | v26(VarCurr)))) | (v196(constB69) <=> (v197(constB69) | v26(constB69)))),
% 17.49/12.77 inference(quant_inst,[status(thm)],[])).
% 17.49/12.77 tff(37883,plain,
% 17.49/12.77 (v196(constB69) <=> (v197(constB69) | v26(constB69))),
% 17.49/12.77 inference(unit_resolution,[status(thm)],[37882, 202])).
% 17.49/12.77 tff(37884,plain,
% 17.49/12.77 ((~![VarCurr: $i] : (v197(VarCurr) <=> (~((~v39(VarCurr)) | (~v9(VarCurr)))))) | (v197(constB69) <=> (~((~v39(constB69)) | (~v9(constB69)))))),
% 17.49/12.77 inference(quant_inst,[status(thm)],[])).
% 17.49/12.77 tff(37885,plain,
% 17.49/12.77 (v197(constB69) <=> (~((~v39(constB69)) | (~v9(constB69))))),
% 17.49/12.77 inference(unit_resolution,[status(thm)],[37884, 120])).
% 17.49/12.77 tff(37886,plain,
% 17.49/12.77 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | ((~nextState(constB69, constB70)) | (v13(constB70) <=> v9(constB69)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | (~nextState(constB69, constB70)) | (v13(constB70) <=> v9(constB69)))),
% 17.49/12.77 inference(rewrite,[status(thm)],[])).
% 17.49/12.77 tff(37887,plain,
% 17.49/12.77 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | ((~nextState(constB69, constB70)) | (v13(constB70) <=> v9(constB69)))),
% 17.49/12.77 inference(quant_inst,[status(thm)],[])).
% 17.49/12.77 tff(37888,plain,
% 17.49/12.77 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | (~nextState(constB69, constB70)) | (v13(constB70) <=> v9(constB69))),
% 17.49/12.77 inference(modus_ponens,[status(thm)],[37887, 37886])).
% 17.49/12.77 tff(37889,plain,
% 17.49/12.77 (v13(constB70) <=> v9(constB69)),
% 17.49/12.77 inference(unit_resolution,[status(thm)],[37888, 1755, 216])).
% 17.49/12.77 tff(37890,plain,
% 17.49/12.77 ((~![VarNext: $i] : (v6(VarNext) <=> v13(VarNext))) | (v6(constB70) <=> v13(constB70))),
% 17.49/12.77 inference(quant_inst,[status(thm)],[])).
% 17.49/12.77 tff(37891,plain,
% 17.49/12.77 (v6(constB70) <=> v13(constB70)),
% 17.49/12.77 inference(unit_resolution,[status(thm)],[37890, 230])).
% 17.49/12.77 tff(37892,plain,
% 17.49/12.77 ((~![VarCurr: $i] : ((~v21(VarCurr)) <=> v6(VarCurr))) | ((~v21(constB70)) <=> v6(constB70))),
% 17.49/12.77 inference(quant_inst,[status(thm)],[])).
% 17.49/12.77 tff(37893,plain,
% 17.49/12.77 ((~v21(constB70)) <=> v6(constB70)),
% 17.49/12.77 inference(unit_resolution,[status(thm)],[37892, 239])).
% 17.49/12.77 tff(37894,plain,
% 17.49/12.77 ((~![VarCurr: $i] : (v19(VarCurr) <=> (v20(VarCurr) | v21(VarCurr)))) | (v19(constB70) <=> (v20(constB70) | v21(constB70)))),
% 17.49/12.77 inference(quant_inst,[status(thm)],[])).
% 17.49/12.77 tff(37895,plain,
% 17.49/12.77 (v19(constB70) <=> (v20(constB70) | v21(constB70))),
% 17.49/12.77 inference(unit_resolution,[status(thm)],[37894, 248])).
% 17.49/12.77 tff(37896,plain,
% 17.49/12.77 ((~![VarCurr: $i] : (v18(VarCurr) <=> (~((~v19(VarCurr)) | (~v22(VarCurr)))))) | (v18(constB70) <=> (~((~v19(constB70)) | (~v22(constB70)))))),
% 17.49/12.77 inference(quant_inst,[status(thm)],[])).
% 17.49/12.77 tff(37897,plain,
% 17.49/12.77 (v18(constB70) <=> (~((~v19(constB70)) | (~v22(constB70))))),
% 17.49/12.77 inference(unit_resolution,[status(thm)],[37896, 260])).
% 17.49/12.77 tff(37898,plain,
% 17.49/12.77 ((~![VarCurr: $i] : ((~v4(VarCurr)) <=> v18(VarCurr))) | ((~v4(constB70)) <=> v18(constB70))),
% 17.49/12.77 inference(quant_inst,[status(thm)],[])).
% 17.49/12.77 tff(37899,plain,
% 17.49/12.77 ((~v4(constB70)) <=> v18(constB70)),
% 17.49/12.77 inference(unit_resolution,[status(thm)],[37898, 269])).
% 17.49/12.77 tff(37900,plain,
% 17.49/12.77 ((~![VarCurr: $i] : v4(VarCurr)) | v4(constB70)),
% 17.49/12.77 inference(quant_inst,[status(thm)],[])).
% 17.49/12.77 tff(37901,plain,
% 17.49/12.77 (v4(constB70)),
% 17.49/12.77 inference(unit_resolution,[status(thm)],[37900, 278])).
% 17.49/12.77 tff(37902,plain,
% 17.49/12.77 ((~((~v4(constB70)) <=> v18(constB70))) | (~v4(constB70)) | (~v18(constB70))),
% 17.49/12.77 inference(tautology,[status(thm)],[])).
% 17.49/12.77 tff(37903,plain,
% 17.49/12.77 (~v18(constB70)),
% 17.49/12.77 inference(unit_resolution,[status(thm)],[37902, 37901, 37899])).
% 17.49/12.77 tff(37904,plain,
% 17.49/12.77 ((~(v18(constB70) <=> (~((~v19(constB70)) | (~v22(constB70)))))) | v18(constB70) | ((~v19(constB70)) | (~v22(constB70)))),
% 17.49/12.77 inference(tautology,[status(thm)],[])).
% 17.49/12.77 tff(37905,plain,
% 17.49/12.77 ((~v19(constB70)) | (~v22(constB70))),
% 17.49/12.77 inference(unit_resolution,[status(thm)],[37904, 37903, 37897])).
% 17.49/12.77 tff(37906,plain,
% 17.49/12.77 ((~![VarCurr: $i] : (v22(VarCurr) <=> (v1(VarCurr) | v6(VarCurr)))) | (v22(constB70) <=> (v1(constB70) | v6(constB70)))),
% 17.49/12.77 inference(quant_inst,[status(thm)],[])).
% 17.49/12.77 tff(37907,plain,
% 17.49/12.77 (v22(constB70) <=> (v1(constB70) | v6(constB70))),
% 17.49/12.77 inference(unit_resolution,[status(thm)],[37906, 291])).
% 17.49/12.77 tff(37908,plain,
% 17.49/12.77 ((v1(constB70) | v6(constB70)) | (~v1(constB70))),
% 17.49/12.77 inference(tautology,[status(thm)],[])).
% 17.49/12.77 tff(37909,plain,
% 17.49/12.77 (v1(constB70) | v6(constB70)),
% 17.49/12.77 inference(unit_resolution,[status(thm)],[37908, 1785])).
% 17.49/12.77 tff(37910,plain,
% 17.49/12.77 ((~(v22(constB70) <=> (v1(constB70) | v6(constB70)))) | v22(constB70) | (~(v1(constB70) | v6(constB70)))),
% 17.49/12.77 inference(tautology,[status(thm)],[])).
% 17.49/12.77 tff(37911,plain,
% 17.49/12.77 ((~(v22(constB70) <=> (v1(constB70) | v6(constB70)))) | v22(constB70)),
% 17.49/12.77 inference(unit_resolution,[status(thm)],[37910, 37909])).
% 17.49/12.77 tff(37912,plain,
% 17.49/12.77 (v22(constB70)),
% 17.49/12.77 inference(unit_resolution,[status(thm)],[37911, 37907])).
% 17.49/12.77 tff(37913,plain,
% 17.49/12.77 ((~((~v19(constB70)) | (~v22(constB70)))) | (~v19(constB70)) | (~v22(constB70))),
% 17.49/12.77 inference(tautology,[status(thm)],[])).
% 17.49/12.77 tff(37914,plain,
% 17.49/12.77 ((~((~v19(constB70)) | (~v22(constB70)))) | (~v19(constB70))),
% 17.49/12.77 inference(unit_resolution,[status(thm)],[37913, 37912])).
% 17.49/12.77 tff(37915,plain,
% 17.49/12.77 (~v19(constB70)),
% 17.49/12.77 inference(unit_resolution,[status(thm)],[37914, 37905])).
% 17.49/12.77 tff(37916,plain,
% 17.49/12.77 ((~(v19(constB70) <=> (v20(constB70) | v21(constB70)))) | v19(constB70) | (~(v20(constB70) | v21(constB70)))),
% 17.49/12.77 inference(tautology,[status(thm)],[])).
% 17.49/12.77 tff(37917,plain,
% 17.49/12.77 (~(v20(constB70) | v21(constB70))),
% 17.49/12.77 inference(unit_resolution,[status(thm)],[37916, 37915, 37895])).
% 17.49/12.77 tff(37918,plain,
% 17.49/12.77 ((v20(constB70) | v21(constB70)) | (~v21(constB70))),
% 17.49/12.77 inference(tautology,[status(thm)],[])).
% 17.49/12.77 tff(37919,plain,
% 17.49/12.77 (~v21(constB70)),
% 17.49/12.77 inference(unit_resolution,[status(thm)],[37918, 37917])).
% 17.49/12.77 tff(37920,plain,
% 17.49/12.77 ((~((~v21(constB70)) <=> v6(constB70))) | v21(constB70) | v6(constB70)),
% 17.49/12.77 inference(tautology,[status(thm)],[])).
% 17.49/12.77 tff(37921,plain,
% 17.49/12.77 (v6(constB70)),
% 17.49/12.77 inference(unit_resolution,[status(thm)],[37920, 37919, 37893])).
% 17.49/12.77 tff(37922,plain,
% 17.49/12.77 ((~(v6(constB70) <=> v13(constB70))) | (~v6(constB70)) | v13(constB70)),
% 17.49/12.77 inference(tautology,[status(thm)],[])).
% 17.49/12.77 tff(37923,plain,
% 17.49/12.77 (v13(constB70)),
% 17.49/12.77 inference(unit_resolution,[status(thm)],[37922, 37921, 37891])).
% 17.49/12.77 tff(37924,plain,
% 17.49/12.77 ((~(v13(constB70) <=> v9(constB69))) | (~v13(constB70)) | v9(constB69)),
% 17.49/12.77 inference(tautology,[status(thm)],[])).
% 17.49/12.77 tff(37925,plain,
% 17.49/12.77 (v9(constB69)),
% 17.49/12.77 inference(unit_resolution,[status(thm)],[37924, 37923, 37889])).
% 17.49/12.77 tff(37926,plain,
% 17.49/12.77 ((~![VarCurr: $i] : ((~v39(VarCurr)) <=> v1(VarCurr))) | ((~v39(constB69)) <=> v1(constB69))),
% 17.49/12.77 inference(quant_inst,[status(thm)],[])).
% 17.49/12.77 tff(37927,plain,
% 17.49/12.77 ((~v39(constB69)) <=> v1(constB69)),
% 17.49/12.77 inference(unit_resolution,[status(thm)],[37926, 129])).
% 17.49/12.77 tff(37928,plain,
% 17.49/12.77 ((~((~v39(constB69)) <=> v1(constB69))) | v39(constB69) | v1(constB69)),
% 17.49/12.77 inference(tautology,[status(thm)],[])).
% 17.49/12.77 tff(37929,plain,
% 17.49/12.77 ((~((~v39(constB69)) <=> v1(constB69))) | v39(constB69)),
% 17.49/12.77 inference(unit_resolution,[status(thm)],[37928, 1777])).
% 17.49/12.77 tff(37930,plain,
% 17.49/12.77 (v39(constB69)),
% 17.49/12.77 inference(unit_resolution,[status(thm)],[37929, 37927])).
% 17.49/12.77 tff(37931,plain,
% 17.49/12.77 ((~((~v39(constB69)) | (~v9(constB69)))) | (~v39(constB69)) | (~v9(constB69))),
% 17.49/12.77 inference(tautology,[status(thm)],[])).
% 17.49/12.77 tff(37932,plain,
% 17.49/12.77 ((~((~v39(constB69)) | (~v9(constB69)))) | (~v9(constB69))),
% 17.49/12.77 inference(unit_resolution,[status(thm)],[37931, 37930])).
% 17.49/12.77 tff(37933,plain,
% 17.49/12.77 (~((~v39(constB69)) | (~v9(constB69)))),
% 17.49/12.77 inference(unit_resolution,[status(thm)],[37932, 37925])).
% 17.49/12.77 tff(37934,plain,
% 17.49/12.77 ((~(v197(constB69) <=> (~((~v39(constB69)) | (~v9(constB69)))))) | v197(constB69) | ((~v39(constB69)) | (~v9(constB69)))),
% 17.49/12.77 inference(tautology,[status(thm)],[])).
% 17.49/12.77 tff(37935,plain,
% 17.49/12.77 (v197(constB69)),
% 17.49/12.77 inference(unit_resolution,[status(thm)],[37934, 37933, 37885])).
% 17.49/12.77 tff(37936,plain,
% 17.49/12.77 ((v197(constB69) | v26(constB69)) | (~v197(constB69))),
% 17.49/12.77 inference(tautology,[status(thm)],[])).
% 17.49/12.77 tff(37937,plain,
% 17.49/12.77 (v197(constB69) | v26(constB69)),
% 17.49/12.77 inference(unit_resolution,[status(thm)],[37936, 37935])).
% 17.49/12.77 tff(37938,plain,
% 17.49/12.77 ((~(v196(constB69) <=> (v197(constB69) | v26(constB69)))) | v196(constB69) | (~(v197(constB69) | v26(constB69)))),
% 17.49/12.77 inference(tautology,[status(thm)],[])).
% 17.49/12.77 tff(37939,plain,
% 17.49/12.77 (v196(constB69)),
% 17.49/12.77 inference(unit_resolution,[status(thm)],[37938, 37937, 37883])).
% 17.49/12.77 tff(37940,plain,
% 17.49/12.77 ((~((~v195(constB69)) <=> v196(constB69))) | (~v195(constB69)) | (~v196(constB69))),
% 17.49/12.77 inference(tautology,[status(thm)],[])).
% 17.49/12.77 tff(37941,plain,
% 17.49/12.77 (~v195(constB69)),
% 17.49/12.77 inference(unit_resolution,[status(thm)],[37940, 37939, 37881])).
% 17.49/12.77 tff(37942,plain,
% 17.49/12.77 (((~v157(constB69)) | (~v195(constB69))) | v195(constB69)),
% 17.49/12.77 inference(tautology,[status(thm)],[])).
% 17.49/12.77 tff(37943,plain,
% 17.49/12.77 ((~v157(constB69)) | (~v195(constB69))),
% 17.49/12.77 inference(unit_resolution,[status(thm)],[37942, 37941])).
% 17.49/12.77 tff(37944,plain,
% 17.49/12.77 ((~(v194(constB69) <=> (~((~v157(constB69)) | (~v195(constB69)))))) | (~v194(constB69)) | (~((~v157(constB69)) | (~v195(constB69))))),
% 17.49/12.77 inference(tautology,[status(thm)],[])).
% 17.49/12.77 tff(37945,plain,
% 17.49/12.77 (~v194(constB69)),
% 17.49/12.77 inference(unit_resolution,[status(thm)],[37944, 37943, 37879])).
% 17.49/12.77 tff(37946,plain,
% 17.49/12.77 ((~![VarCurr: $i] : (v198(VarCurr) <=> (~((~v199(VarCurr)) | (~v200(VarCurr)))))) | (v198(constB69) <=> (~((~v199(constB69)) | (~v200(constB69)))))),
% 17.49/12.77 inference(quant_inst,[status(thm)],[])).
% 17.49/12.77 tff(37947,plain,
% 17.49/12.77 (v198(constB69) <=> (~((~v199(constB69)) | (~v200(constB69))))),
% 17.49/12.77 inference(unit_resolution,[status(thm)],[37946, 96])).
% 17.49/12.77 tff(37948,plain,
% 17.49/12.77 ((~![VarCurr: $i] : (v200(VarCurr) <=> (~((~v197(VarCurr)) | (~v201(VarCurr)))))) | (v200(constB69) <=> (~((~v197(constB69)) | (~v201(constB69)))))),
% 17.49/12.77 inference(quant_inst,[status(thm)],[])).
% 17.49/12.77 tff(37949,plain,
% 17.49/12.77 (v200(constB69) <=> (~((~v197(constB69)) | (~v201(constB69))))),
% 17.49/12.77 inference(unit_resolution,[status(thm)],[37948, 108])).
% 17.49/12.77 tff(37950,plain,
% 17.49/12.77 ((~![VarCurr: $i] : (v201(VarCurr) <=> (~((~v159(VarCurr)) | (~v161(VarCurr)))))) | (v201(constB69) <=> (~((~v159(constB69)) | (~v161(constB69)))))),
% 17.49/12.77 inference(quant_inst,[status(thm)],[])).
% 17.49/12.77 tff(37951,plain,
% 17.49/12.77 (v201(constB69) <=> (~((~v159(constB69)) | (~v161(constB69))))),
% 17.49/12.77 inference(unit_resolution,[status(thm)],[37950, 348])).
% 17.49/12.77 tff(37952,plain,
% 17.49/12.77 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v179(VarNext) <=> v180(VarNext)))) | ((~nextState(constB68, constB69)) | (v179(constB69) <=> v180(constB69)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v179(VarNext) <=> v180(VarNext)))) | (~nextState(constB68, constB69)) | (v179(constB69) <=> v180(constB69)))),
% 17.49/12.77 inference(rewrite,[status(thm)],[])).
% 17.49/12.77 tff(37953,plain,
% 17.49/12.77 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v179(VarNext) <=> v180(VarNext)))) | ((~nextState(constB68, constB69)) | (v179(constB69) <=> v180(constB69)))),
% 17.49/12.77 inference(quant_inst,[status(thm)],[])).
% 17.49/12.77 tff(37954,plain,
% 17.49/12.77 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v179(VarNext) <=> v180(VarNext)))) | (~nextState(constB68, constB69)) | (v179(constB69) <=> v180(constB69))),
% 17.49/12.77 inference(modus_ponens,[status(thm)],[37953, 37952])).
% 17.49/12.77 tff(37955,plain,
% 17.49/12.77 (v179(constB69) <=> v180(constB69)),
% 17.49/12.77 inference(unit_resolution,[status(thm)],[37954, 1818, 13536])).
% 17.49/12.77 tff(37956,plain,
% 17.49/12.77 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> (~((~v181(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB68, constB69)) | (v180(constB69) <=> (~((~v1(constB69)) | (~v181(constB69))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> (~((~v181(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB68, constB69)) | (v180(constB69) <=> (~((~v1(constB69)) | (~v181(constB69))))))),
% 17.49/12.78 inference(rewrite,[status(thm)],[])).
% 17.49/12.78 tff(37957,plain,
% 17.49/12.78 (((~nextState(constB68, constB69)) | (v180(constB69) <=> (~((~v181(constB69)) | (~v1(constB69)))))) <=> ((~nextState(constB68, constB69)) | (v180(constB69) <=> (~((~v1(constB69)) | (~v181(constB69))))))),
% 17.49/12.78 inference(rewrite,[status(thm)],[])).
% 17.49/12.78 tff(37958,plain,
% 17.49/12.78 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> (~((~v181(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB68, constB69)) | (v180(constB69) <=> (~((~v181(constB69)) | (~v1(constB69))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> (~((~v181(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB68, constB69)) | (v180(constB69) <=> (~((~v1(constB69)) | (~v181(constB69)))))))),
% 17.49/12.78 inference(monotonicity,[status(thm)],[37957])).
% 17.49/12.78 tff(37959,plain,
% 17.49/12.78 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> (~((~v181(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB68, constB69)) | (v180(constB69) <=> (~((~v181(constB69)) | (~v1(constB69))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> (~((~v181(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB68, constB69)) | (v180(constB69) <=> (~((~v1(constB69)) | (~v181(constB69))))))),
% 17.49/12.78 inference(transitivity,[status(thm)],[37958, 37956])).
% 17.49/12.78 tff(37960,plain,
% 17.49/12.78 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> (~((~v181(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB68, constB69)) | (v180(constB69) <=> (~((~v181(constB69)) | (~v1(constB69))))))),
% 17.49/12.78 inference(quant_inst,[status(thm)],[])).
% 17.49/12.78 tff(37961,plain,
% 17.49/12.78 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> (~((~v181(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB68, constB69)) | (v180(constB69) <=> (~((~v1(constB69)) | (~v181(constB69)))))),
% 17.49/12.78 inference(modus_ponens,[status(thm)],[37960, 37959])).
% 17.49/12.78 tff(37962,plain,
% 17.49/12.78 (v180(constB69) <=> (~((~v1(constB69)) | (~v181(constB69))))),
% 17.49/12.78 inference(unit_resolution,[status(thm)],[37961, 1818, 13556])).
% 17.49/12.78 tff(37963,plain,
% 17.49/12.78 (((~v1(constB69)) | (~v181(constB69))) | v1(constB69)),
% 17.49/12.78 inference(tautology,[status(thm)],[])).
% 17.49/12.78 tff(37964,plain,
% 17.49/12.78 ((~v1(constB69)) | (~v181(constB69))),
% 17.49/12.78 inference(unit_resolution,[status(thm)],[37963, 1777])).
% 17.49/12.78 tff(37965,plain,
% 17.49/12.78 ((~(v180(constB69) <=> (~((~v1(constB69)) | (~v181(constB69)))))) | (~v180(constB69)) | (~((~v1(constB69)) | (~v181(constB69))))),
% 17.49/12.78 inference(tautology,[status(thm)],[])).
% 17.49/12.78 tff(37966,plain,
% 17.49/12.78 ((~(v180(constB69) <=> (~((~v1(constB69)) | (~v181(constB69)))))) | (~v180(constB69))),
% 17.49/12.78 inference(unit_resolution,[status(thm)],[37965, 37964])).
% 17.49/12.78 tff(37967,plain,
% 17.49/12.78 (~v180(constB69)),
% 17.49/12.78 inference(unit_resolution,[status(thm)],[37966, 37962])).
% 17.49/12.78 tff(37968,plain,
% 17.49/12.78 ((~(v179(constB69) <=> v180(constB69))) | (~v179(constB69)) | v180(constB69)),
% 17.49/12.78 inference(tautology,[status(thm)],[])).
% 17.49/12.78 tff(37969,plain,
% 17.49/12.78 (~v179(constB69)),
% 17.49/12.78 inference(unit_resolution,[status(thm)],[37968, 37967, 37955])).
% 17.49/12.78 tff(37970,plain,
% 17.49/12.78 (((~![VarCurr: $i, VarNext: $i] : ((v159(VarNext) <=> v159(VarCurr)) | v179(VarNext) | (~nextState(VarCurr, VarNext)))) | ((~nextState(constB68, constB69)) | v179(constB69) | (v159(constB69) <=> v159(constB68)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((v159(VarNext) <=> v159(VarCurr)) | v179(VarNext) | (~nextState(VarCurr, VarNext)))) | (~nextState(constB68, constB69)) | v179(constB69) | (v159(constB69) <=> v159(constB68)))),
% 17.49/12.78 inference(rewrite,[status(thm)],[])).
% 17.49/12.78 tff(37971,plain,
% 17.49/12.78 (((v159(constB69) <=> v159(constB68)) | v179(constB69) | (~nextState(constB68, constB69))) <=> ((~nextState(constB68, constB69)) | v179(constB69) | (v159(constB69) <=> v159(constB68)))),
% 17.49/12.78 inference(rewrite,[status(thm)],[])).
% 17.49/12.78 tff(37972,plain,
% 17.49/12.78 (((~![VarCurr: $i, VarNext: $i] : ((v159(VarNext) <=> v159(VarCurr)) | v179(VarNext) | (~nextState(VarCurr, VarNext)))) | ((v159(constB69) <=> v159(constB68)) | v179(constB69) | (~nextState(constB68, constB69)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((v159(VarNext) <=> v159(VarCurr)) | v179(VarNext) | (~nextState(VarCurr, VarNext)))) | ((~nextState(constB68, constB69)) | v179(constB69) | (v159(constB69) <=> v159(constB68))))),
% 17.49/12.78 inference(monotonicity,[status(thm)],[37971])).
% 17.49/12.78 tff(37973,plain,
% 17.49/12.78 (((~![VarCurr: $i, VarNext: $i] : ((v159(VarNext) <=> v159(VarCurr)) | v179(VarNext) | (~nextState(VarCurr, VarNext)))) | ((v159(constB69) <=> v159(constB68)) | v179(constB69) | (~nextState(constB68, constB69)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((v159(VarNext) <=> v159(VarCurr)) | v179(VarNext) | (~nextState(VarCurr, VarNext)))) | (~nextState(constB68, constB69)) | v179(constB69) | (v159(constB69) <=> v159(constB68)))),
% 17.49/12.78 inference(transitivity,[status(thm)],[37972, 37970])).
% 17.49/12.78 tff(37974,plain,
% 17.49/12.78 ((~![VarCurr: $i, VarNext: $i] : ((v159(VarNext) <=> v159(VarCurr)) | v179(VarNext) | (~nextState(VarCurr, VarNext)))) | ((v159(constB69) <=> v159(constB68)) | v179(constB69) | (~nextState(constB68, constB69)))),
% 17.49/12.78 inference(quant_inst,[status(thm)],[])).
% 17.49/12.78 tff(37975,plain,
% 17.49/12.78 ((~![VarCurr: $i, VarNext: $i] : ((v159(VarNext) <=> v159(VarCurr)) | v179(VarNext) | (~nextState(VarCurr, VarNext)))) | (~nextState(constB68, constB69)) | v179(constB69) | (v159(constB69) <=> v159(constB68))),
% 17.49/12.78 inference(modus_ponens,[status(thm)],[37974, 37973])).
% 17.49/12.78 tff(37976,plain,
% 17.49/12.78 (v179(constB69) | (v159(constB69) <=> v159(constB68))),
% 17.49/12.78 inference(unit_resolution,[status(thm)],[37975, 1818, 13580])).
% 17.49/12.78 tff(37977,plain,
% 17.49/12.78 (v159(constB69) <=> v159(constB68)),
% 17.49/12.78 inference(unit_resolution,[status(thm)],[37976, 37969])).
% 17.49/12.78 tff(37978,plain,
% 17.49/12.78 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v179(VarNext) <=> v180(VarNext)))) | ((~nextState(constB67, constB68)) | (v179(constB68) <=> v180(constB68)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v179(VarNext) <=> v180(VarNext)))) | (~nextState(constB67, constB68)) | (v179(constB68) <=> v180(constB68)))),
% 17.49/12.78 inference(rewrite,[status(thm)],[])).
% 17.49/12.78 tff(37979,plain,
% 17.49/12.78 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v179(VarNext) <=> v180(VarNext)))) | ((~nextState(constB67, constB68)) | (v179(constB68) <=> v180(constB68)))),
% 17.49/12.78 inference(quant_inst,[status(thm)],[])).
% 17.49/12.78 tff(37980,plain,
% 17.49/12.78 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v179(VarNext) <=> v180(VarNext)))) | (~nextState(constB67, constB68)) | (v179(constB68) <=> v180(constB68))),
% 17.49/12.78 inference(modus_ponens,[status(thm)],[37979, 37978])).
% 17.49/12.78 tff(37981,plain,
% 17.49/12.78 (v179(constB68) <=> v180(constB68)),
% 17.49/12.78 inference(unit_resolution,[status(thm)],[37980, 1850, 13536])).
% 17.49/12.78 tff(37982,plain,
% 17.49/12.78 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> (~((~v181(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB67, constB68)) | (v180(constB68) <=> (~((~v1(constB68)) | (~v181(constB68))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> (~((~v181(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB67, constB68)) | (v180(constB68) <=> (~((~v1(constB68)) | (~v181(constB68))))))),
% 17.49/12.78 inference(rewrite,[status(thm)],[])).
% 17.49/12.78 tff(37983,plain,
% 17.49/12.78 (((~nextState(constB67, constB68)) | (v180(constB68) <=> (~((~v181(constB68)) | (~v1(constB68)))))) <=> ((~nextState(constB67, constB68)) | (v180(constB68) <=> (~((~v1(constB68)) | (~v181(constB68))))))),
% 17.49/12.78 inference(rewrite,[status(thm)],[])).
% 17.49/12.78 tff(37984,plain,
% 17.49/12.78 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> (~((~v181(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB67, constB68)) | (v180(constB68) <=> (~((~v181(constB68)) | (~v1(constB68))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> (~((~v181(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB67, constB68)) | (v180(constB68) <=> (~((~v1(constB68)) | (~v181(constB68)))))))),
% 17.49/12.78 inference(monotonicity,[status(thm)],[37983])).
% 17.49/12.78 tff(37985,plain,
% 17.49/12.78 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> (~((~v181(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB67, constB68)) | (v180(constB68) <=> (~((~v181(constB68)) | (~v1(constB68))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> (~((~v181(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB67, constB68)) | (v180(constB68) <=> (~((~v1(constB68)) | (~v181(constB68))))))),
% 17.49/12.78 inference(transitivity,[status(thm)],[37984, 37982])).
% 17.49/12.78 tff(37986,plain,
% 17.49/12.78 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> (~((~v181(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB67, constB68)) | (v180(constB68) <=> (~((~v181(constB68)) | (~v1(constB68))))))),
% 17.49/12.78 inference(quant_inst,[status(thm)],[])).
% 17.49/12.78 tff(37987,plain,
% 17.49/12.78 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> (~((~v181(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB67, constB68)) | (v180(constB68) <=> (~((~v1(constB68)) | (~v181(constB68)))))),
% 17.49/12.78 inference(modus_ponens,[status(thm)],[37986, 37985])).
% 17.49/12.78 tff(37988,plain,
% 17.49/12.78 (v180(constB68) <=> (~((~v1(constB68)) | (~v181(constB68))))),
% 17.49/12.78 inference(unit_resolution,[status(thm)],[37987, 1850, 13556])).
% 17.49/12.78 tff(37989,plain,
% 17.49/12.78 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v181(VarNext)) <=> v104(VarNext)))) | ((~nextState(constB67, constB68)) | ((~v181(constB68)) <=> v104(constB68)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v181(VarNext)) <=> v104(VarNext)))) | (~nextState(constB67, constB68)) | ((~v181(constB68)) <=> v104(constB68)))),
% 17.49/12.78 inference(rewrite,[status(thm)],[])).
% 17.49/12.78 tff(37990,plain,
% 17.49/12.78 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v181(VarNext)) <=> v104(VarNext)))) | ((~nextState(constB67, constB68)) | ((~v181(constB68)) <=> v104(constB68)))),
% 17.49/12.78 inference(quant_inst,[status(thm)],[])).
% 17.49/12.78 tff(37991,plain,
% 17.49/12.78 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v181(VarNext)) <=> v104(VarNext)))) | (~nextState(constB67, constB68)) | ((~v181(constB68)) <=> v104(constB68))),
% 17.49/12.78 inference(modus_ponens,[status(thm)],[37990, 37989])).
% 17.49/12.78 tff(37992,plain,
% 17.49/12.78 ((~v181(constB68)) <=> v104(constB68)),
% 17.49/12.78 inference(unit_resolution,[status(thm)],[37991, 1850, 13612])).
% 17.49/12.78 tff(37993,plain,
% 17.49/12.78 ((~((~v181(constB68)) <=> v104(constB68))) | v181(constB68) | v104(constB68)),
% 17.49/12.78 inference(tautology,[status(thm)],[])).
% 17.49/12.78 tff(37994,plain,
% 17.49/12.78 (v181(constB68)),
% 17.49/12.78 inference(unit_resolution,[status(thm)],[37993, 1875, 37992])).
% 17.49/12.78 tff(37995,plain,
% 17.49/12.78 ((~((~v1(constB68)) | (~v181(constB68)))) | (~v1(constB68)) | (~v181(constB68))),
% 17.49/12.78 inference(tautology,[status(thm)],[])).
% 17.49/12.78 tff(37996,plain,
% 17.49/12.78 ((~((~v1(constB68)) | (~v181(constB68)))) | (~v181(constB68))),
% 17.49/12.78 inference(unit_resolution,[status(thm)],[37995, 1880])).
% 17.49/12.78 tff(37997,plain,
% 17.49/12.78 (~((~v1(constB68)) | (~v181(constB68)))),
% 17.49/12.78 inference(unit_resolution,[status(thm)],[37996, 37994])).
% 17.49/12.78 tff(37998,plain,
% 17.49/12.78 ((~(v180(constB68) <=> (~((~v1(constB68)) | (~v181(constB68)))))) | v180(constB68) | ((~v1(constB68)) | (~v181(constB68)))),
% 17.49/12.78 inference(tautology,[status(thm)],[])).
% 17.49/12.78 tff(37999,plain,
% 17.49/12.78 (v180(constB68)),
% 17.49/12.78 inference(unit_resolution,[status(thm)],[37998, 37997, 37988])).
% 17.49/12.78 tff(38000,plain,
% 17.49/12.78 ((~(v179(constB68) <=> v180(constB68))) | v179(constB68) | (~v180(constB68))),
% 17.49/12.78 inference(tautology,[status(thm)],[])).
% 17.49/12.78 tff(38001,plain,
% 17.49/12.78 (v179(constB68)),
% 17.49/12.78 inference(unit_resolution,[status(thm)],[38000, 37999, 37981])).
% 17.49/12.78 tff(38002,plain,
% 17.49/12.78 (((~![VarNext: $i] : ((~v179(VarNext)) | (v159(VarNext) <=> v186(VarNext)))) | ((~v179(constB68)) | (v159(constB68) <=> v186(constB68)))) <=> ((~![VarNext: $i] : ((~v179(VarNext)) | (v159(VarNext) <=> v186(VarNext)))) | (~v179(constB68)) | (v159(constB68) <=> v186(constB68)))),
% 17.49/12.78 inference(rewrite,[status(thm)],[])).
% 17.49/12.78 tff(38003,plain,
% 17.49/12.78 ((~![VarNext: $i] : ((~v179(VarNext)) | (v159(VarNext) <=> v186(VarNext)))) | ((~v179(constB68)) | (v159(constB68) <=> v186(constB68)))),
% 17.49/12.78 inference(quant_inst,[status(thm)],[])).
% 17.49/12.78 tff(38004,plain,
% 17.49/12.78 ((~![VarNext: $i] : ((~v179(VarNext)) | (v159(VarNext) <=> v186(VarNext)))) | (~v179(constB68)) | (v159(constB68) <=> v186(constB68))),
% 17.49/12.78 inference(modus_ponens,[status(thm)],[38003, 38002])).
% 17.49/12.78 tff(38005,plain,
% 17.49/12.78 (v159(constB68) <=> v186(constB68)),
% 17.49/12.78 inference(unit_resolution,[status(thm)],[38004, 13648, 38001])).
% 17.49/12.78 tff(38006,plain,
% 17.49/12.78 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v186(VarNext) <=> v161(VarCurr)))) | ((~nextState(constB67, constB68)) | (v186(constB68) <=> v161(constB67)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v186(VarNext) <=> v161(VarCurr)))) | (~nextState(constB67, constB68)) | (v186(constB68) <=> v161(constB67)))),
% 17.49/12.78 inference(rewrite,[status(thm)],[])).
% 17.49/12.78 tff(38007,plain,
% 17.49/12.78 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v186(VarNext) <=> v161(VarCurr)))) | ((~nextState(constB67, constB68)) | (v186(constB68) <=> v161(constB67)))),
% 17.49/12.78 inference(quant_inst,[status(thm)],[])).
% 17.49/12.78 tff(38008,plain,
% 17.49/12.78 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v186(VarNext) <=> v161(VarCurr)))) | (~nextState(constB67, constB68)) | (v186(constB68) <=> v161(constB67))),
% 17.49/12.78 inference(modus_ponens,[status(thm)],[38007, 38006])).
% 17.49/12.78 tff(38009,plain,
% 17.49/12.78 (v186(constB68) <=> v161(constB67)),
% 17.49/12.78 inference(unit_resolution,[status(thm)],[38008, 1850, 13662])).
% 17.49/12.78 tff(38010,plain,
% 17.49/12.78 ((~![VarCurr: $i] : (v161(VarCurr) <=> v163(VarCurr))) | (v161(constB67) <=> v163(constB67))),
% 17.49/12.78 inference(quant_inst,[status(thm)],[])).
% 17.49/12.78 tff(38011,plain,
% 17.49/12.78 (v161(constB67) <=> v163(constB67)),
% 17.49/12.78 inference(unit_resolution,[status(thm)],[38010, 357])).
% 17.49/12.78 tff(38012,plain,
% 17.49/12.78 ((~![VarCurr: $i] : (v171(VarCurr) <=> (v142(VarCurr) | v150(VarCurr)))) | (v171(constB67) <=> (v142(constB67) | v150(constB67)))),
% 17.49/12.78 inference(quant_inst,[status(thm)],[])).
% 17.49/12.78 tff(38013,plain,
% 17.49/12.78 (v171(constB67) <=> (v142(constB67) | v150(constB67))),
% 17.49/12.78 inference(unit_resolution,[status(thm)],[38012, 369])).
% 17.49/12.78 tff(38014,plain,
% 17.49/12.78 ((~![VarCurr: $i] : (v150(VarCurr) <=> (v141(VarCurr) | v151(VarCurr)))) | (v150(constB67) <=> (v141(constB67) | v151(constB67)))),
% 17.49/12.78 inference(quant_inst,[status(thm)],[])).
% 17.49/12.78 tff(38015,plain,
% 17.49/12.78 (v150(constB67) <=> (v141(constB67) | v151(constB67))),
% 17.49/12.78 inference(unit_resolution,[status(thm)],[38014, 13680])).
% 17.49/12.78 tff(38016,plain,
% 17.49/12.78 ((~![VarCurr: $i] : (v151(VarCurr) <=> (v139(VarCurr) | v140(VarCurr)))) | (v151(constB67) <=> (v139(constB67) | v140(constB67)))),
% 17.49/12.78 inference(quant_inst,[status(thm)],[])).
% 17.49/12.78 tff(38017,plain,
% 17.49/12.78 (v151(constB67) <=> (v139(constB67) | v140(constB67))),
% 17.49/12.78 inference(unit_resolution,[status(thm)],[38016, 13689])).
% 17.49/12.78 tff(38018,plain,
% 17.49/12.78 (((~![VarCurr: $i] : (v140(VarCurr) <=> (~(v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex0)))))) | (v140(constB67) <=> (~(v88(constB67, bitIndex2) | v88(constB67, bitIndex1) | (~v88(constB67, bitIndex0)))))) <=> ((~![VarCurr: $i] : (v140(VarCurr) <=> (~(v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex0)))))) | (v140(constB67) <=> (~(v88(constB67, bitIndex2) | v88(constB67, bitIndex1) | (~v88(constB67, bitIndex0))))))),
% 17.49/12.78 inference(rewrite,[status(thm)],[])).
% 17.49/12.78 tff(38019,plain,
% 17.49/12.78 ((v140(constB67) <=> (~(v88(constB67, bitIndex1) | v88(constB67, bitIndex2) | (~v88(constB67, bitIndex0))))) <=> (v140(constB67) <=> (~(v88(constB67, bitIndex2) | v88(constB67, bitIndex1) | (~v88(constB67, bitIndex0)))))),
% 17.49/12.78 inference(rewrite,[status(thm)],[])).
% 17.49/12.78 tff(38020,plain,
% 17.49/12.78 (((~![VarCurr: $i] : (v140(VarCurr) <=> (~(v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex0)))))) | (v140(constB67) <=> (~(v88(constB67, bitIndex1) | v88(constB67, bitIndex2) | (~v88(constB67, bitIndex0)))))) <=> ((~![VarCurr: $i] : (v140(VarCurr) <=> (~(v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex0)))))) | (v140(constB67) <=> (~(v88(constB67, bitIndex2) | v88(constB67, bitIndex1) | (~v88(constB67, bitIndex0))))))),
% 17.49/12.79 inference(monotonicity,[status(thm)],[38019])).
% 17.49/12.79 tff(38021,plain,
% 17.49/12.79 (((~![VarCurr: $i] : (v140(VarCurr) <=> (~(v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex0)))))) | (v140(constB67) <=> (~(v88(constB67, bitIndex1) | v88(constB67, bitIndex2) | (~v88(constB67, bitIndex0)))))) <=> ((~![VarCurr: $i] : (v140(VarCurr) <=> (~(v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex0)))))) | (v140(constB67) <=> (~(v88(constB67, bitIndex2) | v88(constB67, bitIndex1) | (~v88(constB67, bitIndex0))))))),
% 17.49/12.79 inference(transitivity,[status(thm)],[38020, 38018])).
% 17.49/12.79 tff(38022,plain,
% 17.49/12.79 ((~![VarCurr: $i] : (v140(VarCurr) <=> (~(v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex0)))))) | (v140(constB67) <=> (~(v88(constB67, bitIndex1) | v88(constB67, bitIndex2) | (~v88(constB67, bitIndex0)))))),
% 17.49/12.79 inference(quant_inst,[status(thm)],[])).
% 17.49/12.79 tff(38023,plain,
% 17.49/12.79 ((~![VarCurr: $i] : (v140(VarCurr) <=> (~(v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex0)))))) | (v140(constB67) <=> (~(v88(constB67, bitIndex2) | v88(constB67, bitIndex1) | (~v88(constB67, bitIndex0)))))),
% 17.49/12.79 inference(modus_ponens,[status(thm)],[38022, 38021])).
% 17.49/12.79 tff(38024,plain,
% 17.49/12.79 (v140(constB67) <=> (~(v88(constB67, bitIndex2) | v88(constB67, bitIndex1) | (~v88(constB67, bitIndex0))))),
% 17.49/12.79 inference(unit_resolution,[status(thm)],[38023, 13704])).
% 17.49/12.79 tff(38025,plain,
% 17.49/12.79 (((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | ((~less_3(bitIndex2)) | (v88(constB67, bitIndex2) <=> v90(constB67, bitIndex2)))) <=> ((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | (~less_3(bitIndex2)) | (v88(constB67, bitIndex2) <=> v90(constB67, bitIndex2)))),
% 17.49/12.79 inference(rewrite,[status(thm)],[])).
% 17.49/12.79 tff(38026,plain,
% 17.49/12.79 ((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | ((~less_3(bitIndex2)) | (v88(constB67, bitIndex2) <=> v90(constB67, bitIndex2)))),
% 17.49/12.79 inference(quant_inst,[status(thm)],[])).
% 17.49/12.79 tff(38027,plain,
% 17.49/12.79 ((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | (~less_3(bitIndex2)) | (v88(constB67, bitIndex2) <=> v90(constB67, bitIndex2))),
% 17.49/12.79 inference(modus_ponens,[status(thm)],[38026, 38025])).
% 17.49/12.79 tff(38028,plain,
% 17.49/12.79 (v88(constB67, bitIndex2) <=> v90(constB67, bitIndex2)),
% 17.49/12.79 inference(unit_resolution,[status(thm)],[38027, 413, 410])).
% 17.49/12.79 tff(38029,plain,
% 17.49/12.79 ((~(v88(constB67, bitIndex2) <=> v90(constB67, bitIndex2))) | (~v88(constB67, bitIndex2)) | v90(constB67, bitIndex2)),
% 17.49/12.79 inference(tautology,[status(thm)],[])).
% 17.49/12.79 tff(38030,plain,
% 17.49/12.79 (~v88(constB67, bitIndex2)),
% 17.49/12.79 inference(unit_resolution,[status(thm)],[38029, 10679, 38028])).
% 17.49/12.79 tff(38031,plain,
% 17.49/12.79 (((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | ((~less_3(bitIndex0)) | (v88(constB67, bitIndex0) <=> v90(constB67, bitIndex0)))) <=> ((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | (~less_3(bitIndex0)) | (v88(constB67, bitIndex0) <=> v90(constB67, bitIndex0)))),
% 17.49/12.79 inference(rewrite,[status(thm)],[])).
% 17.49/12.79 tff(38032,plain,
% 17.49/12.79 ((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | ((~less_3(bitIndex0)) | (v88(constB67, bitIndex0) <=> v90(constB67, bitIndex0)))),
% 17.49/12.79 inference(quant_inst,[status(thm)],[])).
% 17.49/12.79 tff(38033,plain,
% 17.49/12.79 ((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | (~less_3(bitIndex0)) | (v88(constB67, bitIndex0) <=> v90(constB67, bitIndex0))),
% 17.49/12.79 inference(modus_ponens,[status(thm)],[38032, 38031])).
% 17.49/12.79 tff(38034,plain,
% 17.49/12.79 (v88(constB67, bitIndex0) <=> v90(constB67, bitIndex0)),
% 17.49/12.79 inference(unit_resolution,[status(thm)],[38033, 5004, 410])).
% 17.49/12.79 tff(38035,plain,
% 17.49/12.79 ((~(v88(constB67, bitIndex0) <=> v90(constB67, bitIndex0))) | v88(constB67, bitIndex0) | (~v90(constB67, bitIndex0))),
% 17.49/12.79 inference(tautology,[status(thm)],[])).
% 17.49/12.79 tff(38036,plain,
% 17.49/12.79 (v88(constB67, bitIndex0)),
% 17.49/12.79 inference(unit_resolution,[status(thm)],[38035, 10710, 38034])).
% 17.49/12.79 tff(38037,plain,
% 17.49/12.79 (((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | ((~less_3(bitIndex1)) | (v88(constB67, bitIndex1) <=> v90(constB67, bitIndex1)))) <=> ((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | (~less_3(bitIndex1)) | (v88(constB67, bitIndex1) <=> v90(constB67, bitIndex1)))),
% 17.49/12.79 inference(rewrite,[status(thm)],[])).
% 17.49/12.79 tff(38038,plain,
% 17.49/12.79 ((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | ((~less_3(bitIndex1)) | (v88(constB67, bitIndex1) <=> v90(constB67, bitIndex1)))),
% 17.49/12.79 inference(quant_inst,[status(thm)],[])).
% 17.49/12.79 tff(38039,plain,
% 17.49/12.79 ((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | (~less_3(bitIndex1)) | (v88(constB67, bitIndex1) <=> v90(constB67, bitIndex1))),
% 17.49/12.79 inference(modus_ponens,[status(thm)],[38038, 38037])).
% 17.49/12.79 tff(38040,plain,
% 17.49/12.79 (v88(constB67, bitIndex1) <=> v90(constB67, bitIndex1)),
% 17.49/12.79 inference(unit_resolution,[status(thm)],[38039, 5017, 410])).
% 17.49/12.79 tff(38041,plain,
% 17.49/12.79 ((~(v88(constB67, bitIndex1) <=> v90(constB67, bitIndex1))) | (~v88(constB67, bitIndex1)) | v90(constB67, bitIndex1)),
% 17.49/12.79 inference(tautology,[status(thm)],[])).
% 17.49/12.79 tff(38042,plain,
% 17.49/12.79 (~v88(constB67, bitIndex1)),
% 17.49/12.79 inference(unit_resolution,[status(thm)],[38041, 10741, 38040])).
% 17.49/12.79 tff(38043,plain,
% 17.49/12.79 ((~(v88(constB67, bitIndex2) | v88(constB67, bitIndex1) | (~v88(constB67, bitIndex0)))) | v88(constB67, bitIndex2) | v88(constB67, bitIndex1) | (~v88(constB67, bitIndex0))),
% 17.49/12.79 inference(tautology,[status(thm)],[])).
% 17.49/12.79 tff(38044,plain,
% 17.49/12.79 (~(v88(constB67, bitIndex2) | v88(constB67, bitIndex1) | (~v88(constB67, bitIndex0)))),
% 17.49/12.79 inference(unit_resolution,[status(thm)],[38043, 38042, 38036, 38030])).
% 17.49/12.79 tff(38045,plain,
% 17.49/12.79 ((~(v140(constB67) <=> (~(v88(constB67, bitIndex2) | v88(constB67, bitIndex1) | (~v88(constB67, bitIndex0)))))) | v140(constB67) | (v88(constB67, bitIndex2) | v88(constB67, bitIndex1) | (~v88(constB67, bitIndex0)))),
% 17.49/12.79 inference(tautology,[status(thm)],[])).
% 17.49/12.79 tff(38046,plain,
% 17.49/12.79 (v140(constB67)),
% 17.49/12.79 inference(unit_resolution,[status(thm)],[38045, 38044, 38024])).
% 17.49/12.79 tff(38047,plain,
% 17.49/12.79 ((v139(constB67) | v140(constB67)) | (~v140(constB67))),
% 17.49/12.79 inference(tautology,[status(thm)],[])).
% 17.49/12.79 tff(38048,plain,
% 17.49/12.79 (v139(constB67) | v140(constB67)),
% 17.49/12.79 inference(unit_resolution,[status(thm)],[38047, 38046])).
% 17.49/12.79 tff(38049,plain,
% 17.49/12.79 ((~(v151(constB67) <=> (v139(constB67) | v140(constB67)))) | v151(constB67) | (~(v139(constB67) | v140(constB67)))),
% 17.49/12.79 inference(tautology,[status(thm)],[])).
% 17.49/12.79 tff(38050,plain,
% 17.49/12.79 (v151(constB67)),
% 17.49/12.79 inference(unit_resolution,[status(thm)],[38049, 38048, 38017])).
% 17.49/12.79 tff(38051,plain,
% 17.49/12.79 ((v141(constB67) | v151(constB67)) | (~v151(constB67))),
% 17.49/12.79 inference(tautology,[status(thm)],[])).
% 17.49/12.79 tff(38052,plain,
% 17.49/12.79 (v141(constB67) | v151(constB67)),
% 17.49/12.79 inference(unit_resolution,[status(thm)],[38051, 38050])).
% 17.49/12.79 tff(38053,plain,
% 17.49/12.79 ((~(v150(constB67) <=> (v141(constB67) | v151(constB67)))) | v150(constB67) | (~(v141(constB67) | v151(constB67)))),
% 17.49/12.79 inference(tautology,[status(thm)],[])).
% 17.49/12.79 tff(38054,plain,
% 17.49/12.79 (v150(constB67)),
% 17.49/12.79 inference(unit_resolution,[status(thm)],[38053, 38052, 38015])).
% 17.49/12.79 tff(38055,plain,
% 17.49/12.79 ((v142(constB67) | v150(constB67)) | (~v150(constB67))),
% 17.49/12.79 inference(tautology,[status(thm)],[])).
% 17.49/12.79 tff(38056,plain,
% 17.49/12.79 (v142(constB67) | v150(constB67)),
% 17.49/12.79 inference(unit_resolution,[status(thm)],[38055, 38054])).
% 17.49/12.79 tff(38057,plain,
% 17.49/12.79 ((~(v171(constB67) <=> (v142(constB67) | v150(constB67)))) | v171(constB67) | (~(v142(constB67) | v150(constB67)))),
% 17.49/12.79 inference(tautology,[status(thm)],[])).
% 17.49/12.79 tff(38058,plain,
% 17.49/12.79 (v171(constB67)),
% 17.49/12.79 inference(unit_resolution,[status(thm)],[38057, 38056, 38013])).
% 17.49/12.79 tff(38059,plain,
% 17.49/12.79 (((~![VarCurr: $i] : ((~v171(VarCurr)) | (~v170(VarCurr)))) | ((~v170(constB67)) | (~v171(constB67)))) <=> ((~![VarCurr: $i] : ((~v171(VarCurr)) | (~v170(VarCurr)))) | (~v170(constB67)) | (~v171(constB67)))),
% 17.49/12.79 inference(rewrite,[status(thm)],[])).
% 17.49/12.79 tff(38060,plain,
% 17.49/12.79 (((~v171(constB67)) | (~v170(constB67))) <=> ((~v170(constB67)) | (~v171(constB67)))),
% 17.49/12.79 inference(rewrite,[status(thm)],[])).
% 17.49/12.79 tff(38061,plain,
% 17.49/12.79 (((~![VarCurr: $i] : ((~v171(VarCurr)) | (~v170(VarCurr)))) | ((~v171(constB67)) | (~v170(constB67)))) <=> ((~![VarCurr: $i] : ((~v171(VarCurr)) | (~v170(VarCurr)))) | ((~v170(constB67)) | (~v171(constB67))))),
% 17.49/12.79 inference(monotonicity,[status(thm)],[38060])).
% 17.49/12.79 tff(38062,plain,
% 17.49/12.79 (((~![VarCurr: $i] : ((~v171(VarCurr)) | (~v170(VarCurr)))) | ((~v171(constB67)) | (~v170(constB67)))) <=> ((~![VarCurr: $i] : ((~v171(VarCurr)) | (~v170(VarCurr)))) | (~v170(constB67)) | (~v171(constB67)))),
% 17.49/12.79 inference(transitivity,[status(thm)],[38061, 38059])).
% 17.49/12.79 tff(38063,plain,
% 17.49/12.79 ((~![VarCurr: $i] : ((~v171(VarCurr)) | (~v170(VarCurr)))) | ((~v171(constB67)) | (~v170(constB67)))),
% 17.49/12.79 inference(quant_inst,[status(thm)],[])).
% 17.49/12.79 tff(38064,plain,
% 17.49/12.79 ((~![VarCurr: $i] : ((~v171(VarCurr)) | (~v170(VarCurr)))) | (~v170(constB67)) | (~v171(constB67))),
% 17.49/12.79 inference(modus_ponens,[status(thm)],[38063, 38062])).
% 17.49/12.79 tff(38065,plain,
% 17.49/12.79 ((~v170(constB67)) | (~v171(constB67))),
% 17.49/12.79 inference(unit_resolution,[status(thm)],[38064, 13061])).
% 17.49/12.79 tff(38066,plain,
% 17.49/12.79 (~v170(constB67)),
% 17.49/12.79 inference(unit_resolution,[status(thm)],[38065, 38058])).
% 17.49/12.79 tff(38067,plain,
% 17.49/12.79 ((~![VarCurr: $i] : (v166(VarCurr) <=> (v145(VarCurr) | v167(VarCurr)))) | (v166(constB67) <=> (v145(constB67) | v167(constB67)))),
% 17.49/12.79 inference(quant_inst,[status(thm)],[])).
% 17.49/12.79 tff(38068,plain,
% 17.49/12.79 (v166(constB67) <=> (v145(constB67) | v167(constB67))),
% 17.49/12.79 inference(unit_resolution,[status(thm)],[38067, 13079])).
% 17.49/12.79 tff(38069,plain,
% 17.49/12.79 ((~![VarCurr: $i] : (v167(VarCurr) <=> (v142(VarCurr) | v168(VarCurr)))) | (v167(constB67) <=> (v142(constB67) | v168(constB67)))),
% 17.49/12.79 inference(quant_inst,[status(thm)],[])).
% 17.49/12.79 tff(38070,plain,
% 17.49/12.79 (v167(constB67) <=> (v142(constB67) | v168(constB67))),
% 17.49/12.79 inference(unit_resolution,[status(thm)],[38069, 13091])).
% 17.49/12.79 tff(38071,plain,
% 17.49/12.79 ((~![VarCurr: $i] : (v168(VarCurr) <=> (v141(VarCurr) | v169(VarCurr)))) | (v168(constB67) <=> (v141(constB67) | v169(constB67)))),
% 17.49/12.79 inference(quant_inst,[status(thm)],[])).
% 17.49/12.79 tff(38072,plain,
% 17.49/12.79 (v168(constB67) <=> (v141(constB67) | v169(constB67))),
% 17.49/12.79 inference(unit_resolution,[status(thm)],[38071, 20513])).
% 17.49/12.79 tff(38073,plain,
% 17.49/12.79 ((~![VarCurr: $i] : (v169(VarCurr) <=> (v139(VarCurr) | v140(VarCurr)))) | (v169(constB67) <=> (v139(constB67) | v140(constB67)))),
% 17.49/12.79 inference(quant_inst,[status(thm)],[])).
% 17.49/12.79 tff(38074,plain,
% 17.49/12.79 (v169(constB67) <=> (v139(constB67) | v140(constB67))),
% 17.49/12.79 inference(unit_resolution,[status(thm)],[38073, 20522])).
% 17.49/12.79 tff(38075,plain,
% 17.49/12.79 ((~(v169(constB67) <=> (v139(constB67) | v140(constB67)))) | v169(constB67) | (~(v139(constB67) | v140(constB67)))),
% 17.49/12.79 inference(tautology,[status(thm)],[])).
% 17.49/12.79 tff(38076,plain,
% 17.49/12.79 (v169(constB67)),
% 17.49/12.79 inference(unit_resolution,[status(thm)],[38075, 38048, 38074])).
% 17.49/12.79 tff(38077,plain,
% 17.49/12.79 ((v141(constB67) | v169(constB67)) | (~v169(constB67))),
% 17.49/12.79 inference(tautology,[status(thm)],[])).
% 17.49/12.79 tff(38078,plain,
% 17.49/12.79 (v141(constB67) | v169(constB67)),
% 17.49/12.79 inference(unit_resolution,[status(thm)],[38077, 38076])).
% 17.49/12.79 tff(38079,plain,
% 17.49/12.79 ((~(v168(constB67) <=> (v141(constB67) | v169(constB67)))) | v168(constB67) | (~(v141(constB67) | v169(constB67)))),
% 17.49/12.79 inference(tautology,[status(thm)],[])).
% 17.49/12.79 tff(38080,plain,
% 17.49/12.79 (v168(constB67)),
% 17.49/12.79 inference(unit_resolution,[status(thm)],[38079, 38078, 38072])).
% 17.49/12.79 tff(38081,plain,
% 17.49/12.79 ((v142(constB67) | v168(constB67)) | (~v168(constB67))),
% 17.49/12.79 inference(tautology,[status(thm)],[])).
% 17.49/12.79 tff(38082,plain,
% 17.49/12.79 (v142(constB67) | v168(constB67)),
% 17.49/12.79 inference(unit_resolution,[status(thm)],[38081, 38080])).
% 17.49/12.79 tff(38083,plain,
% 17.49/12.79 ((~(v167(constB67) <=> (v142(constB67) | v168(constB67)))) | v167(constB67) | (~(v142(constB67) | v168(constB67)))),
% 17.49/12.79 inference(tautology,[status(thm)],[])).
% 17.49/12.79 tff(38084,plain,
% 17.49/12.79 (v167(constB67)),
% 17.49/12.79 inference(unit_resolution,[status(thm)],[38083, 38082, 38070])).
% 17.49/12.79 tff(38085,plain,
% 17.49/12.79 ((v145(constB67) | v167(constB67)) | (~v167(constB67))),
% 17.49/12.79 inference(tautology,[status(thm)],[])).
% 17.49/12.79 tff(38086,plain,
% 17.49/12.79 (v145(constB67) | v167(constB67)),
% 17.49/12.79 inference(unit_resolution,[status(thm)],[38085, 38084])).
% 17.49/12.79 tff(38087,plain,
% 17.49/12.79 ((~(v166(constB67) <=> (v145(constB67) | v167(constB67)))) | v166(constB67) | (~(v145(constB67) | v167(constB67)))),
% 17.49/12.79 inference(tautology,[status(thm)],[])).
% 17.49/12.79 tff(38088,plain,
% 17.49/12.79 (v166(constB67)),
% 17.49/12.79 inference(unit_resolution,[status(thm)],[38087, 38086, 38068])).
% 17.49/12.79 tff(38089,plain,
% 17.49/12.79 (((~![VarNext: $i] : ((~v166(VarNext)) | (v163(VarNext) <=> v170(VarNext)))) | ((~v166(constB67)) | (v163(constB67) <=> v170(constB67)))) <=> ((~![VarNext: $i] : ((~v166(VarNext)) | (v163(VarNext) <=> v170(VarNext)))) | (~v166(constB67)) | (v163(constB67) <=> v170(constB67)))),
% 17.49/12.79 inference(rewrite,[status(thm)],[])).
% 17.49/12.79 tff(38090,plain,
% 17.49/12.79 ((~![VarNext: $i] : ((~v166(VarNext)) | (v163(VarNext) <=> v170(VarNext)))) | ((~v166(constB67)) | (v163(constB67) <=> v170(constB67)))),
% 17.49/12.79 inference(quant_inst,[status(thm)],[])).
% 17.49/12.79 tff(38091,plain,
% 17.49/12.79 ((~![VarNext: $i] : ((~v166(VarNext)) | (v163(VarNext) <=> v170(VarNext)))) | (~v166(constB67)) | (v163(constB67) <=> v170(constB67))),
% 17.49/12.79 inference(modus_ponens,[status(thm)],[38090, 38089])).
% 17.49/12.79 tff(38092,plain,
% 17.49/12.79 ((~v166(constB67)) | (v163(constB67) <=> v170(constB67))),
% 17.49/12.79 inference(unit_resolution,[status(thm)],[38091, 13111])).
% 17.49/12.79 tff(38093,plain,
% 17.49/12.79 (v163(constB67) <=> v170(constB67)),
% 17.49/12.79 inference(unit_resolution,[status(thm)],[38092, 38088])).
% 17.49/12.79 tff(38094,plain,
% 17.49/12.79 ((~(v163(constB67) <=> v170(constB67))) | (~v163(constB67)) | v170(constB67)),
% 17.49/12.79 inference(tautology,[status(thm)],[])).
% 17.49/12.79 tff(38095,plain,
% 17.49/12.79 (~v163(constB67)),
% 17.49/12.79 inference(unit_resolution,[status(thm)],[38094, 38093, 38066])).
% 17.49/12.79 tff(38096,plain,
% 17.49/12.79 ((~(v161(constB67) <=> v163(constB67))) | (~v161(constB67)) | v163(constB67)),
% 17.49/12.79 inference(tautology,[status(thm)],[])).
% 17.49/12.79 tff(38097,plain,
% 17.49/12.79 (~v161(constB67)),
% 17.49/12.79 inference(unit_resolution,[status(thm)],[38096, 38095, 38011])).
% 17.49/12.79 tff(38098,plain,
% 17.49/12.79 ((~(v186(constB68) <=> v161(constB67))) | (~v186(constB68)) | v161(constB67)),
% 17.49/12.79 inference(tautology,[status(thm)],[])).
% 17.49/12.79 tff(38099,plain,
% 17.49/12.79 (~v186(constB68)),
% 17.49/12.79 inference(unit_resolution,[status(thm)],[38098, 38097, 38009])).
% 17.49/12.79 tff(38100,plain,
% 17.49/12.79 ((~(v159(constB68) <=> v186(constB68))) | (~v159(constB68)) | v186(constB68)),
% 17.49/12.79 inference(tautology,[status(thm)],[])).
% 17.49/12.79 tff(38101,plain,
% 17.49/12.79 (~v159(constB68)),
% 17.49/12.79 inference(unit_resolution,[status(thm)],[38100, 38099, 38005])).
% 17.49/12.79 tff(38102,plain,
% 17.49/12.79 ((~(v159(constB69) <=> v159(constB68))) | (~v159(constB69)) | v159(constB68)),
% 17.49/12.79 inference(tautology,[status(thm)],[])).
% 17.49/12.79 tff(38103,plain,
% 17.49/12.79 (~v159(constB69)),
% 17.49/12.79 inference(unit_resolution,[status(thm)],[38102, 38101, 37977])).
% 17.49/12.79 tff(38104,plain,
% 17.49/12.79 (((~v159(constB69)) | (~v161(constB69))) | v159(constB69)),
% 17.49/12.79 inference(tautology,[status(thm)],[])).
% 17.49/12.79 tff(38105,plain,
% 17.49/12.79 ((~v159(constB69)) | (~v161(constB69))),
% 17.49/12.79 inference(unit_resolution,[status(thm)],[38104, 38103])).
% 17.49/12.79 tff(38106,plain,
% 17.49/12.79 ((~(v201(constB69) <=> (~((~v159(constB69)) | (~v161(constB69)))))) | (~v201(constB69)) | (~((~v159(constB69)) | (~v161(constB69))))),
% 17.49/12.79 inference(tautology,[status(thm)],[])).
% 17.49/12.79 tff(38107,plain,
% 17.49/12.79 (~v201(constB69)),
% 17.49/12.79 inference(unit_resolution,[status(thm)],[38106, 38105, 37951])).
% 17.49/12.79 tff(38108,plain,
% 17.49/12.79 (((~v197(constB69)) | (~v201(constB69))) | v201(constB69)),
% 17.49/12.79 inference(tautology,[status(thm)],[])).
% 17.49/12.79 tff(38109,plain,
% 17.49/12.79 ((~v197(constB69)) | (~v201(constB69))),
% 17.49/12.79 inference(unit_resolution,[status(thm)],[38108, 38107])).
% 17.49/12.79 tff(38110,plain,
% 17.49/12.79 ((~(v200(constB69) <=> (~((~v197(constB69)) | (~v201(constB69)))))) | (~v200(constB69)) | (~((~v197(constB69)) | (~v201(constB69))))),
% 17.49/12.79 inference(tautology,[status(thm)],[])).
% 17.49/12.79 tff(38111,plain,
% 17.49/12.79 (~v200(constB69)),
% 17.49/12.79 inference(unit_resolution,[status(thm)],[38110, 38109, 37949])).
% 17.49/12.79 tff(38112,plain,
% 17.49/12.79 (((~v199(constB69)) | (~v200(constB69))) | v200(constB69)),
% 17.49/12.79 inference(tautology,[status(thm)],[])).
% 17.49/12.79 tff(38113,plain,
% 17.49/12.79 ((~v199(constB69)) | (~v200(constB69))),
% 17.49/12.79 inference(unit_resolution,[status(thm)],[38112, 38111])).
% 17.49/12.79 tff(38114,plain,
% 17.59/12.80 ((~(v198(constB69) <=> (~((~v199(constB69)) | (~v200(constB69)))))) | (~v198(constB69)) | (~((~v199(constB69)) | (~v200(constB69))))),
% 17.59/12.80 inference(tautology,[status(thm)],[])).
% 17.59/12.80 tff(38115,plain,
% 17.59/12.80 (~v198(constB69)),
% 17.59/12.80 inference(unit_resolution,[status(thm)],[38114, 38113, 37947])).
% 17.59/12.80 tff(38116,plain,
% 17.59/12.80 ((~(v194(constB69) | v198(constB69))) | v194(constB69) | v198(constB69)),
% 17.59/12.80 inference(tautology,[status(thm)],[])).
% 17.59/12.80 tff(38117,plain,
% 17.59/12.80 (~(v194(constB69) | v198(constB69))),
% 17.59/12.80 inference(unit_resolution,[status(thm)],[38116, 38115, 37945])).
% 17.59/12.80 tff(38118,plain,
% 17.59/12.80 ((~(v191(constB69) <=> (v194(constB69) | v198(constB69)))) | (~v191(constB69)) | (v194(constB69) | v198(constB69))),
% 17.59/12.80 inference(tautology,[status(thm)],[])).
% 17.59/12.80 tff(38119,plain,
% 17.59/12.80 (~v191(constB69)),
% 17.59/12.80 inference(unit_resolution,[status(thm)],[38118, 38117, 37872])).
% 17.59/12.80 tff(38120,plain,
% 17.59/12.80 ((~(v193(constB70) <=> v191(constB69))) | (~v193(constB70)) | v191(constB69)),
% 17.59/12.80 inference(tautology,[status(thm)],[])).
% 17.59/12.80 tff(38121,plain,
% 17.59/12.80 (~v193(constB70)),
% 17.59/12.80 inference(unit_resolution,[status(thm)],[38120, 38119, 37870])).
% 17.59/12.80 tff(38122,plain,
% 17.59/12.80 ((~(v157(constB70) <=> v193(constB70))) | (~v157(constB70)) | v193(constB70)),
% 17.59/12.80 inference(tautology,[status(thm)],[])).
% 17.59/12.80 tff(38123,plain,
% 17.59/12.80 (~v157(constB70)),
% 17.59/12.80 inference(unit_resolution,[status(thm)],[38122, 38121, 37866])).
% 17.59/12.80 tff(38124,plain,
% 17.59/12.80 (((~v157(constB70)) | (~v195(constB70))) | v157(constB70)),
% 17.59/12.80 inference(tautology,[status(thm)],[])).
% 17.59/12.80 tff(38125,plain,
% 17.59/12.80 ((~v157(constB70)) | (~v195(constB70))),
% 17.59/12.80 inference(unit_resolution,[status(thm)],[38124, 38123])).
% 17.59/12.80 tff(38126,plain,
% 17.59/12.80 ((~(v194(constB70) <=> (~((~v157(constB70)) | (~v195(constB70)))))) | (~v194(constB70)) | (~((~v157(constB70)) | (~v195(constB70))))),
% 17.59/12.80 inference(tautology,[status(thm)],[])).
% 17.59/12.80 tff(38127,plain,
% 17.59/12.80 (~v194(constB70)),
% 17.59/12.80 inference(unit_resolution,[status(thm)],[38126, 38125, 37864])).
% 17.59/12.80 tff(38128,plain,
% 17.59/12.80 ((~(v194(constB70) | v198(constB70))) | v194(constB70) | v198(constB70)),
% 17.59/12.80 inference(tautology,[status(thm)],[])).
% 17.59/12.80 tff(38129,plain,
% 17.59/12.80 (~(v194(constB70) | v198(constB70))),
% 17.59/12.80 inference(unit_resolution,[status(thm)],[38128, 38127, 37857])).
% 17.59/12.80 tff(38130,plain,
% 17.59/12.80 ((~(v191(constB70) <=> (v194(constB70) | v198(constB70)))) | (~v191(constB70)) | (v194(constB70) | v198(constB70))),
% 17.59/12.80 inference(tautology,[status(thm)],[])).
% 17.59/12.80 tff(38131,plain,
% 17.59/12.80 (~v191(constB70)),
% 17.59/12.80 inference(unit_resolution,[status(thm)],[38130, 38129, 37832])).
% 17.59/12.80 tff(38132,plain,
% 17.59/12.80 ((~(v193(constB71) <=> v191(constB70))) | (~v193(constB71)) | v191(constB70)),
% 17.59/12.80 inference(tautology,[status(thm)],[])).
% 17.59/12.80 tff(38133,plain,
% 17.59/12.80 (~v193(constB71)),
% 17.59/12.80 inference(unit_resolution,[status(thm)],[38132, 38131, 37830])).
% 17.59/12.80 tff(38134,plain,
% 17.59/12.80 ($false),
% 17.59/12.80 inference(unit_resolution,[status(thm)],[38133, 37826])).
% 17.59/12.80 tff(38135,plain,(~(constB71 = VarCurr!0)), inference(lemma,lemma(discharge,[]))).
% 17.59/12.80 tff(38136,assumption,(constB123 = VarCurr!0), introduced(assumption)).
% 17.59/12.80 tff(38137,plain,
% 17.59/12.80 (v193(constB123) <=> v193(VarCurr!0)),
% 17.59/12.80 inference(monotonicity,[status(thm)],[38136])).
% 17.59/12.80 tff(38138,plain,
% 17.59/12.80 (v193(VarCurr!0) <=> v193(constB123)),
% 17.59/12.80 inference(symmetry,[status(thm)],[38137])).
% 17.59/12.80 tff(38139,plain,
% 17.59/12.80 (v193(constB123)),
% 17.59/12.80 inference(modus_ponens,[status(thm)],[59, 38138])).
% 17.59/12.80 tff(38140,plain,
% 17.59/12.80 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v193(VarNext) <=> v191(VarCurr)))) | ((~nextState(constB122, constB123)) | (v193(constB123) <=> v191(constB122)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v193(VarNext) <=> v191(VarCurr)))) | (~nextState(constB122, constB123)) | (v193(constB123) <=> v191(constB122)))),
% 17.59/12.80 inference(rewrite,[status(thm)],[])).
% 17.59/12.80 tff(38141,plain,
% 17.59/12.80 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v193(VarNext) <=> v191(VarCurr)))) | ((~nextState(constB122, constB123)) | (v193(constB123) <=> v191(constB122)))),
% 17.59/12.80 inference(quant_inst,[status(thm)],[])).
% 17.59/12.80 tff(38142,plain,
% 17.59/12.80 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v193(VarNext) <=> v191(VarCurr)))) | (~nextState(constB122, constB123)) | (v193(constB123) <=> v191(constB122))),
% 17.59/12.80 inference(modus_ponens,[status(thm)],[38141, 38140])).
% 17.59/12.80 tff(38143,plain,
% 17.59/12.80 (v193(constB123) <=> v191(constB122)),
% 17.59/12.80 inference(unit_resolution,[status(thm)],[38142, 14822, 70])).
% 17.59/12.80 tff(38144,plain,
% 17.59/12.80 ((~![VarCurr: $i] : (v191(VarCurr) <=> (v194(VarCurr) | v198(VarCurr)))) | (v191(constB122) <=> (v194(constB122) | v198(constB122)))),
% 17.59/12.80 inference(quant_inst,[status(thm)],[])).
% 17.59/12.80 tff(38145,plain,
% 17.59/12.80 (v191(constB122) <=> (v194(constB122) | v198(constB122))),
% 17.59/12.80 inference(unit_resolution,[status(thm)],[38144, 84])).
% 17.59/12.80 tff(38146,plain,
% 17.59/12.80 ((~![VarCurr: $i] : (v198(VarCurr) <=> (~((~v199(VarCurr)) | (~v200(VarCurr)))))) | (v198(constB122) <=> (~((~v199(constB122)) | (~v200(constB122)))))),
% 17.59/12.80 inference(quant_inst,[status(thm)],[])).
% 17.59/12.80 tff(38147,plain,
% 17.59/12.80 (v198(constB122) <=> (~((~v199(constB122)) | (~v200(constB122))))),
% 17.59/12.80 inference(unit_resolution,[status(thm)],[38146, 96])).
% 17.59/12.80 tff(38148,plain,
% 17.59/12.80 ((~![VarCurr: $i] : (v200(VarCurr) <=> (~((~v197(VarCurr)) | (~v201(VarCurr)))))) | (v200(constB122) <=> (~((~v197(constB122)) | (~v201(constB122)))))),
% 17.59/12.80 inference(quant_inst,[status(thm)],[])).
% 17.59/12.80 tff(38149,plain,
% 17.59/12.80 (v200(constB122) <=> (~((~v197(constB122)) | (~v201(constB122))))),
% 17.59/12.80 inference(unit_resolution,[status(thm)],[38148, 108])).
% 17.59/12.80 tff(38150,plain,
% 17.59/12.80 ((~![VarCurr: $i] : (v197(VarCurr) <=> (~((~v39(VarCurr)) | (~v9(VarCurr)))))) | (v197(constB122) <=> (~((~v39(constB122)) | (~v9(constB122)))))),
% 17.59/12.80 inference(quant_inst,[status(thm)],[])).
% 17.59/12.80 tff(38151,plain,
% 17.59/12.80 (v197(constB122) <=> (~((~v39(constB122)) | (~v9(constB122))))),
% 17.59/12.80 inference(unit_resolution,[status(thm)],[38150, 120])).
% 17.59/12.80 tff(38152,plain,
% 17.59/12.80 ((~![VarCurr: $i] : ((~v39(VarCurr)) <=> v1(VarCurr))) | ((~v39(constB122)) <=> v1(constB122))),
% 17.59/12.80 inference(quant_inst,[status(thm)],[])).
% 17.59/12.80 tff(38153,plain,
% 17.59/12.80 ((~v39(constB122)) <=> v1(constB122)),
% 17.59/12.80 inference(unit_resolution,[status(thm)],[38152, 129])).
% 17.59/12.80 tff(38154,plain,
% 17.59/12.80 ((~((~v39(constB122)) <=> v1(constB122))) | (~v39(constB122)) | (~v1(constB122))),
% 17.59/12.80 inference(tautology,[status(thm)],[])).
% 17.59/12.80 tff(38155,plain,
% 17.59/12.80 ((~((~v39(constB122)) <=> v1(constB122))) | (~v39(constB122))),
% 17.59/12.80 inference(unit_resolution,[status(thm)],[38154, 14884])).
% 17.59/12.80 tff(38156,plain,
% 17.59/12.80 (~v39(constB122)),
% 17.59/12.80 inference(unit_resolution,[status(thm)],[38155, 38153])).
% 17.59/12.80 tff(38157,plain,
% 17.59/12.80 (((~v39(constB122)) | (~v9(constB122))) | v39(constB122)),
% 17.59/12.80 inference(tautology,[status(thm)],[])).
% 17.59/12.80 tff(38158,plain,
% 17.59/12.80 ((~v39(constB122)) | (~v9(constB122))),
% 17.59/12.80 inference(unit_resolution,[status(thm)],[38157, 38156])).
% 17.59/12.80 tff(38159,plain,
% 17.59/12.80 ((~(v197(constB122) <=> (~((~v39(constB122)) | (~v9(constB122)))))) | (~v197(constB122)) | (~((~v39(constB122)) | (~v9(constB122))))),
% 17.59/12.80 inference(tautology,[status(thm)],[])).
% 17.59/12.80 tff(38160,plain,
% 17.59/12.80 ((~(v197(constB122) <=> (~((~v39(constB122)) | (~v9(constB122)))))) | (~v197(constB122))),
% 17.59/12.80 inference(unit_resolution,[status(thm)],[38159, 38158])).
% 17.59/12.80 tff(38161,plain,
% 17.59/12.80 (~v197(constB122)),
% 17.59/12.80 inference(unit_resolution,[status(thm)],[38160, 38151])).
% 17.59/12.80 tff(38162,plain,
% 17.59/12.80 (((~v197(constB122)) | (~v201(constB122))) | v197(constB122)),
% 17.59/12.80 inference(tautology,[status(thm)],[])).
% 17.59/12.80 tff(38163,plain,
% 17.59/12.80 ((~v197(constB122)) | (~v201(constB122))),
% 17.59/12.80 inference(unit_resolution,[status(thm)],[38162, 38161])).
% 17.59/12.80 tff(38164,plain,
% 17.59/12.80 ((~(v200(constB122) <=> (~((~v197(constB122)) | (~v201(constB122)))))) | (~v200(constB122)) | (~((~v197(constB122)) | (~v201(constB122))))),
% 17.59/12.80 inference(tautology,[status(thm)],[])).
% 17.59/12.80 tff(38165,plain,
% 17.59/12.80 ((~(v200(constB122) <=> (~((~v197(constB122)) | (~v201(constB122)))))) | (~v200(constB122))),
% 17.59/12.80 inference(unit_resolution,[status(thm)],[38164, 38163])).
% 17.59/12.80 tff(38166,plain,
% 17.59/12.80 (~v200(constB122)),
% 17.59/12.80 inference(unit_resolution,[status(thm)],[38165, 38149])).
% 17.59/12.80 tff(38167,plain,
% 17.59/12.80 (((~v199(constB122)) | (~v200(constB122))) | v200(constB122)),
% 17.59/12.80 inference(tautology,[status(thm)],[])).
% 17.59/12.80 tff(38168,plain,
% 17.59/12.80 ((~v199(constB122)) | (~v200(constB122))),
% 17.59/12.80 inference(unit_resolution,[status(thm)],[38167, 38166])).
% 17.59/12.80 tff(38169,plain,
% 17.59/12.80 ((~(v198(constB122) <=> (~((~v199(constB122)) | (~v200(constB122)))))) | (~v198(constB122)) | (~((~v199(constB122)) | (~v200(constB122))))),
% 17.59/12.80 inference(tautology,[status(thm)],[])).
% 17.59/12.80 tff(38170,plain,
% 17.59/12.80 (~v198(constB122)),
% 17.59/12.80 inference(unit_resolution,[status(thm)],[38169, 38168, 38147])).
% 17.59/12.80 tff(38171,plain,
% 17.59/12.80 (((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB122) <=> (~((~v157(constB122)) | (~v195(constB122)))))) <=> ((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB122) <=> (~((~v157(constB122)) | (~v195(constB122))))))),
% 17.59/12.80 inference(rewrite,[status(thm)],[])).
% 17.59/12.80 tff(38172,plain,
% 17.59/12.80 ((v194(constB122) <=> (~((~v195(constB122)) | (~v157(constB122))))) <=> (v194(constB122) <=> (~((~v157(constB122)) | (~v195(constB122)))))),
% 17.59/12.80 inference(rewrite,[status(thm)],[])).
% 17.59/12.80 tff(38173,plain,
% 17.59/12.80 (((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB122) <=> (~((~v195(constB122)) | (~v157(constB122)))))) <=> ((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB122) <=> (~((~v157(constB122)) | (~v195(constB122))))))),
% 17.59/12.80 inference(monotonicity,[status(thm)],[38172])).
% 17.59/12.80 tff(38174,plain,
% 17.59/12.80 (((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB122) <=> (~((~v195(constB122)) | (~v157(constB122)))))) <=> ((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB122) <=> (~((~v157(constB122)) | (~v195(constB122))))))),
% 17.59/12.80 inference(transitivity,[status(thm)],[38173, 38171])).
% 17.59/12.80 tff(38175,plain,
% 17.59/12.80 ((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB122) <=> (~((~v195(constB122)) | (~v157(constB122)))))),
% 17.59/12.80 inference(quant_inst,[status(thm)],[])).
% 17.59/12.80 tff(38176,plain,
% 17.59/12.80 ((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB122) <=> (~((~v157(constB122)) | (~v195(constB122)))))),
% 17.59/12.80 inference(modus_ponens,[status(thm)],[38175, 38174])).
% 17.59/12.80 tff(38177,plain,
% 17.59/12.80 (v194(constB122) <=> (~((~v157(constB122)) | (~v195(constB122))))),
% 17.59/12.80 inference(unit_resolution,[status(thm)],[38176, 161])).
% 17.59/12.80 tff(38178,plain,
% 17.59/12.80 ((~![VarNext: $i] : (v157(VarNext) <=> v193(VarNext))) | (v157(constB122) <=> v193(constB122))),
% 17.59/12.80 inference(quant_inst,[status(thm)],[])).
% 17.59/12.80 tff(38179,plain,
% 17.59/12.80 (v157(constB122) <=> v193(constB122)),
% 17.59/12.80 inference(unit_resolution,[status(thm)],[38178, 13])).
% 17.59/12.80 tff(38180,plain,
% 17.59/12.80 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v193(VarNext) <=> v191(VarCurr)))) | ((~nextState(constB121, constB122)) | (v193(constB122) <=> v191(constB121)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v193(VarNext) <=> v191(VarCurr)))) | (~nextState(constB121, constB122)) | (v193(constB122) <=> v191(constB121)))),
% 17.59/12.80 inference(rewrite,[status(thm)],[])).
% 17.59/12.80 tff(38181,plain,
% 17.59/12.80 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v193(VarNext) <=> v191(VarCurr)))) | ((~nextState(constB121, constB122)) | (v193(constB122) <=> v191(constB121)))),
% 17.59/12.80 inference(quant_inst,[status(thm)],[])).
% 17.59/12.80 tff(38182,plain,
% 17.59/12.80 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v193(VarNext) <=> v191(VarCurr)))) | (~nextState(constB121, constB122)) | (v193(constB122) <=> v191(constB121))),
% 17.59/12.80 inference(modus_ponens,[status(thm)],[38181, 38180])).
% 17.59/12.80 tff(38183,plain,
% 17.59/12.80 (v193(constB122) <=> v191(constB121)),
% 17.59/12.80 inference(unit_resolution,[status(thm)],[38182, 14854, 70])).
% 17.59/12.80 tff(38184,plain,
% 17.59/12.80 ((~![VarCurr: $i] : (v191(VarCurr) <=> (v194(VarCurr) | v198(VarCurr)))) | (v191(constB121) <=> (v194(constB121) | v198(constB121)))),
% 17.59/12.80 inference(quant_inst,[status(thm)],[])).
% 17.59/12.80 tff(38185,plain,
% 17.59/12.80 (v191(constB121) <=> (v194(constB121) | v198(constB121))),
% 17.59/12.80 inference(unit_resolution,[status(thm)],[38184, 84])).
% 17.59/12.80 tff(38186,plain,
% 17.59/12.80 (((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB121) <=> (~((~v157(constB121)) | (~v195(constB121)))))) <=> ((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB121) <=> (~((~v157(constB121)) | (~v195(constB121))))))),
% 17.59/12.80 inference(rewrite,[status(thm)],[])).
% 17.59/12.80 tff(38187,plain,
% 17.59/12.80 ((v194(constB121) <=> (~((~v195(constB121)) | (~v157(constB121))))) <=> (v194(constB121) <=> (~((~v157(constB121)) | (~v195(constB121)))))),
% 17.59/12.80 inference(rewrite,[status(thm)],[])).
% 17.59/12.80 tff(38188,plain,
% 17.59/12.80 (((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB121) <=> (~((~v195(constB121)) | (~v157(constB121)))))) <=> ((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB121) <=> (~((~v157(constB121)) | (~v195(constB121))))))),
% 17.59/12.80 inference(monotonicity,[status(thm)],[38187])).
% 17.59/12.80 tff(38189,plain,
% 17.59/12.80 (((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB121) <=> (~((~v195(constB121)) | (~v157(constB121)))))) <=> ((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB121) <=> (~((~v157(constB121)) | (~v195(constB121))))))),
% 17.59/12.80 inference(transitivity,[status(thm)],[38188, 38186])).
% 17.59/12.80 tff(38190,plain,
% 17.59/12.80 ((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB121) <=> (~((~v195(constB121)) | (~v157(constB121)))))),
% 17.59/12.80 inference(quant_inst,[status(thm)],[])).
% 17.59/12.80 tff(38191,plain,
% 17.59/12.80 ((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB121) <=> (~((~v157(constB121)) | (~v195(constB121)))))),
% 17.59/12.80 inference(modus_ponens,[status(thm)],[38190, 38189])).
% 17.59/12.80 tff(38192,plain,
% 17.59/12.80 (v194(constB121) <=> (~((~v157(constB121)) | (~v195(constB121))))),
% 17.59/12.80 inference(unit_resolution,[status(thm)],[38191, 161])).
% 17.59/12.80 tff(38193,plain,
% 17.59/12.80 ((~![VarCurr: $i] : ((~v195(VarCurr)) <=> v196(VarCurr))) | ((~v195(constB121)) <=> v196(constB121))),
% 17.59/12.80 inference(quant_inst,[status(thm)],[])).
% 17.59/12.80 tff(38194,plain,
% 17.59/12.80 ((~v195(constB121)) <=> v196(constB121)),
% 17.59/12.80 inference(unit_resolution,[status(thm)],[38193, 193])).
% 17.59/12.80 tff(38195,plain,
% 17.59/12.80 ((~![VarCurr: $i] : (v196(VarCurr) <=> (v197(VarCurr) | v26(VarCurr)))) | (v196(constB121) <=> (v197(constB121) | v26(constB121)))),
% 17.59/12.80 inference(quant_inst,[status(thm)],[])).
% 17.59/12.80 tff(38196,plain,
% 17.59/12.80 (v196(constB121) <=> (v197(constB121) | v26(constB121))),
% 17.59/12.80 inference(unit_resolution,[status(thm)],[38195, 202])).
% 17.59/12.80 tff(38197,plain,
% 17.59/12.80 ((~![VarCurr: $i] : (v197(VarCurr) <=> (~((~v39(VarCurr)) | (~v9(VarCurr)))))) | (v197(constB121) <=> (~((~v39(constB121)) | (~v9(constB121)))))),
% 17.59/12.80 inference(quant_inst,[status(thm)],[])).
% 17.59/12.80 tff(38198,plain,
% 17.59/12.80 (v197(constB121) <=> (~((~v39(constB121)) | (~v9(constB121))))),
% 17.59/12.80 inference(unit_resolution,[status(thm)],[38197, 120])).
% 17.59/12.80 tff(38199,plain,
% 17.59/12.80 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | ((~nextState(constB121, constB122)) | (v13(constB122) <=> v9(constB121)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | (~nextState(constB121, constB122)) | (v13(constB122) <=> v9(constB121)))),
% 17.59/12.80 inference(rewrite,[status(thm)],[])).
% 17.59/12.80 tff(38200,plain,
% 17.59/12.80 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | ((~nextState(constB121, constB122)) | (v13(constB122) <=> v9(constB121)))),
% 17.59/12.80 inference(quant_inst,[status(thm)],[])).
% 17.59/12.80 tff(38201,plain,
% 17.59/12.80 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | (~nextState(constB121, constB122)) | (v13(constB122) <=> v9(constB121))),
% 17.59/12.80 inference(modus_ponens,[status(thm)],[38200, 38199])).
% 17.59/12.80 tff(38202,plain,
% 17.59/12.80 (v13(constB122) <=> v9(constB121)),
% 17.59/12.80 inference(unit_resolution,[status(thm)],[38201, 14854, 216])).
% 17.59/12.80 tff(38203,plain,
% 17.59/12.80 ((~![VarNext: $i] : (v6(VarNext) <=> v13(VarNext))) | (v6(constB122) <=> v13(constB122))),
% 17.59/12.80 inference(quant_inst,[status(thm)],[])).
% 17.59/12.80 tff(38204,plain,
% 17.59/12.80 (v6(constB122) <=> v13(constB122)),
% 17.59/12.80 inference(unit_resolution,[status(thm)],[38203, 230])).
% 17.59/12.80 tff(38205,plain,
% 17.59/12.80 ((~![VarCurr: $i] : ((~v21(VarCurr)) <=> v6(VarCurr))) | ((~v21(constB122)) <=> v6(constB122))),
% 17.59/12.80 inference(quant_inst,[status(thm)],[])).
% 17.59/12.80 tff(38206,plain,
% 17.59/12.80 ((~v21(constB122)) <=> v6(constB122)),
% 17.59/12.80 inference(unit_resolution,[status(thm)],[38205, 239])).
% 17.59/12.80 tff(38207,plain,
% 17.59/12.80 ((~![VarCurr: $i] : (v19(VarCurr) <=> (v20(VarCurr) | v21(VarCurr)))) | (v19(constB122) <=> (v20(constB122) | v21(constB122)))),
% 17.59/12.80 inference(quant_inst,[status(thm)],[])).
% 17.59/12.80 tff(38208,plain,
% 17.59/12.80 (v19(constB122) <=> (v20(constB122) | v21(constB122))),
% 17.59/12.80 inference(unit_resolution,[status(thm)],[38207, 248])).
% 17.59/12.80 tff(38209,plain,
% 17.59/12.80 ((~![VarCurr: $i] : (v18(VarCurr) <=> (~((~v19(VarCurr)) | (~v22(VarCurr)))))) | (v18(constB122) <=> (~((~v19(constB122)) | (~v22(constB122)))))),
% 17.59/12.80 inference(quant_inst,[status(thm)],[])).
% 17.59/12.80 tff(38210,plain,
% 17.59/12.80 (v18(constB122) <=> (~((~v19(constB122)) | (~v22(constB122))))),
% 17.59/12.80 inference(unit_resolution,[status(thm)],[38209, 260])).
% 17.59/12.80 tff(38211,plain,
% 17.59/12.80 ((~![VarCurr: $i] : ((~v4(VarCurr)) <=> v18(VarCurr))) | ((~v4(constB122)) <=> v18(constB122))),
% 17.59/12.80 inference(quant_inst,[status(thm)],[])).
% 17.59/12.80 tff(38212,plain,
% 17.59/12.80 ((~v4(constB122)) <=> v18(constB122)),
% 17.59/12.80 inference(unit_resolution,[status(thm)],[38211, 269])).
% 17.59/12.80 tff(38213,plain,
% 17.59/12.80 ((~![VarCurr: $i] : v4(VarCurr)) | v4(constB122)),
% 17.59/12.80 inference(quant_inst,[status(thm)],[])).
% 17.59/12.80 tff(38214,plain,
% 17.59/12.80 (v4(constB122)),
% 17.59/12.80 inference(unit_resolution,[status(thm)],[38213, 278])).
% 17.59/12.80 tff(38215,plain,
% 17.59/12.80 ((~((~v4(constB122)) <=> v18(constB122))) | (~v4(constB122)) | (~v18(constB122))),
% 17.59/12.80 inference(tautology,[status(thm)],[])).
% 17.59/12.80 tff(38216,plain,
% 17.59/12.80 (~v18(constB122)),
% 17.59/12.80 inference(unit_resolution,[status(thm)],[38215, 38214, 38212])).
% 17.59/12.80 tff(38217,plain,
% 17.59/12.80 ((~(v18(constB122) <=> (~((~v19(constB122)) | (~v22(constB122)))))) | v18(constB122) | ((~v19(constB122)) | (~v22(constB122)))),
% 17.59/12.80 inference(tautology,[status(thm)],[])).
% 17.59/12.80 tff(38218,plain,
% 17.59/12.80 ((~v19(constB122)) | (~v22(constB122))),
% 17.59/12.80 inference(unit_resolution,[status(thm)],[38217, 38216, 38210])).
% 17.59/12.80 tff(38219,plain,
% 17.59/12.80 ((~![VarCurr: $i] : (v22(VarCurr) <=> (v1(VarCurr) | v6(VarCurr)))) | (v22(constB122) <=> (v1(constB122) | v6(constB122)))),
% 17.59/12.80 inference(quant_inst,[status(thm)],[])).
% 17.59/12.80 tff(38220,plain,
% 17.59/12.80 (v22(constB122) <=> (v1(constB122) | v6(constB122))),
% 17.59/12.80 inference(unit_resolution,[status(thm)],[38219, 291])).
% 17.59/12.80 tff(38221,plain,
% 17.59/12.80 ((v1(constB122) | v6(constB122)) | (~v1(constB122))),
% 17.59/12.80 inference(tautology,[status(thm)],[])).
% 17.59/12.80 tff(38222,plain,
% 17.59/12.80 (v1(constB122) | v6(constB122)),
% 17.59/12.80 inference(unit_resolution,[status(thm)],[38221, 14884])).
% 17.59/12.80 tff(38223,plain,
% 17.59/12.80 ((~(v22(constB122) <=> (v1(constB122) | v6(constB122)))) | v22(constB122) | (~(v1(constB122) | v6(constB122)))),
% 17.59/12.80 inference(tautology,[status(thm)],[])).
% 17.59/12.80 tff(38224,plain,
% 17.59/12.80 ((~(v22(constB122) <=> (v1(constB122) | v6(constB122)))) | v22(constB122)),
% 17.59/12.80 inference(unit_resolution,[status(thm)],[38223, 38222])).
% 17.59/12.80 tff(38225,plain,
% 17.59/12.80 (v22(constB122)),
% 17.59/12.80 inference(unit_resolution,[status(thm)],[38224, 38220])).
% 17.59/12.80 tff(38226,plain,
% 17.59/12.80 ((~((~v19(constB122)) | (~v22(constB122)))) | (~v19(constB122)) | (~v22(constB122))),
% 17.59/12.80 inference(tautology,[status(thm)],[])).
% 17.59/12.80 tff(38227,plain,
% 17.59/12.80 ((~((~v19(constB122)) | (~v22(constB122)))) | (~v19(constB122))),
% 17.59/12.80 inference(unit_resolution,[status(thm)],[38226, 38225])).
% 17.59/12.80 tff(38228,plain,
% 17.59/12.80 (~v19(constB122)),
% 17.59/12.80 inference(unit_resolution,[status(thm)],[38227, 38218])).
% 17.59/12.80 tff(38229,plain,
% 17.59/12.80 ((~(v19(constB122) <=> (v20(constB122) | v21(constB122)))) | v19(constB122) | (~(v20(constB122) | v21(constB122)))),
% 17.59/12.80 inference(tautology,[status(thm)],[])).
% 17.59/12.80 tff(38230,plain,
% 17.59/12.80 (~(v20(constB122) | v21(constB122))),
% 17.59/12.80 inference(unit_resolution,[status(thm)],[38229, 38228, 38208])).
% 17.59/12.80 tff(38231,plain,
% 17.59/12.80 ((v20(constB122) | v21(constB122)) | (~v21(constB122))),
% 17.59/12.80 inference(tautology,[status(thm)],[])).
% 17.59/12.80 tff(38232,plain,
% 17.59/12.80 (~v21(constB122)),
% 17.59/12.80 inference(unit_resolution,[status(thm)],[38231, 38230])).
% 17.59/12.80 tff(38233,plain,
% 17.59/12.80 ((~((~v21(constB122)) <=> v6(constB122))) | v21(constB122) | v6(constB122)),
% 17.59/12.81 inference(tautology,[status(thm)],[])).
% 17.59/12.81 tff(38234,plain,
% 17.59/12.81 (v6(constB122)),
% 17.59/12.81 inference(unit_resolution,[status(thm)],[38233, 38232, 38206])).
% 17.59/12.81 tff(38235,plain,
% 17.59/12.81 ((~(v6(constB122) <=> v13(constB122))) | (~v6(constB122)) | v13(constB122)),
% 17.59/12.81 inference(tautology,[status(thm)],[])).
% 17.59/12.81 tff(38236,plain,
% 17.59/12.81 (v13(constB122)),
% 17.59/12.81 inference(unit_resolution,[status(thm)],[38235, 38234, 38204])).
% 17.59/12.81 tff(38237,plain,
% 17.59/12.81 ((~(v13(constB122) <=> v9(constB121))) | (~v13(constB122)) | v9(constB121)),
% 17.59/12.81 inference(tautology,[status(thm)],[])).
% 17.59/12.81 tff(38238,plain,
% 17.59/12.81 (v9(constB121)),
% 17.59/12.81 inference(unit_resolution,[status(thm)],[38237, 38236, 38202])).
% 17.59/12.81 tff(38239,plain,
% 17.59/12.81 ((~![VarCurr: $i] : ((~v39(VarCurr)) <=> v1(VarCurr))) | ((~v39(constB121)) <=> v1(constB121))),
% 17.59/12.81 inference(quant_inst,[status(thm)],[])).
% 17.59/12.81 tff(38240,plain,
% 17.59/12.81 ((~v39(constB121)) <=> v1(constB121)),
% 17.59/12.81 inference(unit_resolution,[status(thm)],[38239, 129])).
% 17.59/12.81 tff(38241,plain,
% 17.59/12.81 ((~((~v39(constB121)) <=> v1(constB121))) | v39(constB121) | v1(constB121)),
% 17.59/12.81 inference(tautology,[status(thm)],[])).
% 17.59/12.81 tff(38242,plain,
% 17.59/12.81 ((~((~v39(constB121)) <=> v1(constB121))) | v39(constB121)),
% 17.59/12.81 inference(unit_resolution,[status(thm)],[38241, 14876])).
% 17.59/12.81 tff(38243,plain,
% 17.59/12.81 (v39(constB121)),
% 17.59/12.81 inference(unit_resolution,[status(thm)],[38242, 38240])).
% 17.59/12.81 tff(38244,plain,
% 17.59/12.81 ((~((~v39(constB121)) | (~v9(constB121)))) | (~v39(constB121)) | (~v9(constB121))),
% 17.59/12.81 inference(tautology,[status(thm)],[])).
% 17.59/12.81 tff(38245,plain,
% 17.59/12.81 ((~((~v39(constB121)) | (~v9(constB121)))) | (~v9(constB121))),
% 17.59/12.81 inference(unit_resolution,[status(thm)],[38244, 38243])).
% 17.59/12.81 tff(38246,plain,
% 17.59/12.81 (~((~v39(constB121)) | (~v9(constB121)))),
% 17.59/12.81 inference(unit_resolution,[status(thm)],[38245, 38238])).
% 17.59/12.81 tff(38247,plain,
% 17.59/12.81 ((~(v197(constB121) <=> (~((~v39(constB121)) | (~v9(constB121)))))) | v197(constB121) | ((~v39(constB121)) | (~v9(constB121)))),
% 17.59/12.81 inference(tautology,[status(thm)],[])).
% 17.59/12.81 tff(38248,plain,
% 17.59/12.81 (v197(constB121)),
% 17.59/12.81 inference(unit_resolution,[status(thm)],[38247, 38246, 38198])).
% 17.59/12.81 tff(38249,plain,
% 17.59/12.81 ((v197(constB121) | v26(constB121)) | (~v197(constB121))),
% 17.59/12.81 inference(tautology,[status(thm)],[])).
% 17.59/12.81 tff(38250,plain,
% 17.59/12.81 (v197(constB121) | v26(constB121)),
% 17.59/12.81 inference(unit_resolution,[status(thm)],[38249, 38248])).
% 17.59/12.81 tff(38251,plain,
% 17.59/12.81 ((~(v196(constB121) <=> (v197(constB121) | v26(constB121)))) | v196(constB121) | (~(v197(constB121) | v26(constB121)))),
% 17.59/12.81 inference(tautology,[status(thm)],[])).
% 17.59/12.81 tff(38252,plain,
% 17.59/12.81 (v196(constB121)),
% 17.59/12.81 inference(unit_resolution,[status(thm)],[38251, 38250, 38196])).
% 17.59/12.81 tff(38253,plain,
% 17.59/12.81 ((~((~v195(constB121)) <=> v196(constB121))) | (~v195(constB121)) | (~v196(constB121))),
% 17.59/12.81 inference(tautology,[status(thm)],[])).
% 17.59/12.81 tff(38254,plain,
% 17.59/12.81 (~v195(constB121)),
% 17.59/12.81 inference(unit_resolution,[status(thm)],[38253, 38252, 38194])).
% 17.59/12.81 tff(38255,plain,
% 17.59/12.81 (((~v157(constB121)) | (~v195(constB121))) | v195(constB121)),
% 17.59/12.81 inference(tautology,[status(thm)],[])).
% 17.59/12.81 tff(38256,plain,
% 17.59/12.81 ((~v157(constB121)) | (~v195(constB121))),
% 17.59/12.81 inference(unit_resolution,[status(thm)],[38255, 38254])).
% 17.59/12.81 tff(38257,plain,
% 17.59/12.81 ((~(v194(constB121) <=> (~((~v157(constB121)) | (~v195(constB121)))))) | (~v194(constB121)) | (~((~v157(constB121)) | (~v195(constB121))))),
% 17.59/12.81 inference(tautology,[status(thm)],[])).
% 17.59/12.81 tff(38258,plain,
% 17.59/12.81 (~v194(constB121)),
% 17.59/12.81 inference(unit_resolution,[status(thm)],[38257, 38256, 38192])).
% 17.59/12.81 tff(38259,plain,
% 17.59/12.81 ((~![VarCurr: $i] : (v198(VarCurr) <=> (~((~v199(VarCurr)) | (~v200(VarCurr)))))) | (v198(constB121) <=> (~((~v199(constB121)) | (~v200(constB121)))))),
% 17.59/12.81 inference(quant_inst,[status(thm)],[])).
% 17.59/12.81 tff(38260,plain,
% 17.59/12.81 (v198(constB121) <=> (~((~v199(constB121)) | (~v200(constB121))))),
% 17.59/12.81 inference(unit_resolution,[status(thm)],[38259, 96])).
% 17.59/12.81 tff(38261,plain,
% 17.59/12.81 ((~![VarCurr: $i] : (v200(VarCurr) <=> (~((~v197(VarCurr)) | (~v201(VarCurr)))))) | (v200(constB121) <=> (~((~v197(constB121)) | (~v201(constB121)))))),
% 17.59/12.81 inference(quant_inst,[status(thm)],[])).
% 17.59/12.81 tff(38262,plain,
% 17.59/12.81 (v200(constB121) <=> (~((~v197(constB121)) | (~v201(constB121))))),
% 17.59/12.81 inference(unit_resolution,[status(thm)],[38261, 108])).
% 17.59/12.81 tff(38263,plain,
% 17.59/12.81 ((~![VarCurr: $i] : (v201(VarCurr) <=> (~((~v159(VarCurr)) | (~v161(VarCurr)))))) | (v201(constB121) <=> (~((~v159(constB121)) | (~v161(constB121)))))),
% 17.59/12.81 inference(quant_inst,[status(thm)],[])).
% 17.59/12.81 tff(38264,plain,
% 17.59/12.81 (v201(constB121) <=> (~((~v159(constB121)) | (~v161(constB121))))),
% 17.59/12.81 inference(unit_resolution,[status(thm)],[38263, 348])).
% 17.59/12.81 tff(38265,plain,
% 17.59/12.81 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v179(VarNext) <=> v180(VarNext)))) | ((~nextState(constB120, constB121)) | (v179(constB121) <=> v180(constB121)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v179(VarNext) <=> v180(VarNext)))) | (~nextState(constB120, constB121)) | (v179(constB121) <=> v180(constB121)))),
% 17.59/12.81 inference(rewrite,[status(thm)],[])).
% 17.59/12.81 tff(38266,plain,
% 17.59/12.81 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v179(VarNext) <=> v180(VarNext)))) | ((~nextState(constB120, constB121)) | (v179(constB121) <=> v180(constB121)))),
% 17.59/12.81 inference(quant_inst,[status(thm)],[])).
% 17.59/12.81 tff(38267,plain,
% 17.59/12.81 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v179(VarNext) <=> v180(VarNext)))) | (~nextState(constB120, constB121)) | (v179(constB121) <=> v180(constB121))),
% 17.59/12.81 inference(modus_ponens,[status(thm)],[38266, 38265])).
% 17.59/12.81 tff(38268,plain,
% 17.59/12.81 (v179(constB121) <=> v180(constB121)),
% 17.59/12.81 inference(unit_resolution,[status(thm)],[38267, 14915, 13536])).
% 17.59/12.81 tff(38269,plain,
% 17.59/12.81 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> (~((~v181(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB120, constB121)) | (v180(constB121) <=> (~((~v1(constB121)) | (~v181(constB121))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> (~((~v181(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB120, constB121)) | (v180(constB121) <=> (~((~v1(constB121)) | (~v181(constB121))))))),
% 17.59/12.81 inference(rewrite,[status(thm)],[])).
% 17.59/12.81 tff(38270,plain,
% 17.59/12.81 (((~nextState(constB120, constB121)) | (v180(constB121) <=> (~((~v181(constB121)) | (~v1(constB121)))))) <=> ((~nextState(constB120, constB121)) | (v180(constB121) <=> (~((~v1(constB121)) | (~v181(constB121))))))),
% 17.59/12.81 inference(rewrite,[status(thm)],[])).
% 17.59/12.81 tff(38271,plain,
% 17.59/12.81 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> (~((~v181(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB120, constB121)) | (v180(constB121) <=> (~((~v181(constB121)) | (~v1(constB121))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> (~((~v181(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB120, constB121)) | (v180(constB121) <=> (~((~v1(constB121)) | (~v181(constB121)))))))),
% 17.59/12.81 inference(monotonicity,[status(thm)],[38270])).
% 17.59/12.81 tff(38272,plain,
% 17.59/12.81 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> (~((~v181(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB120, constB121)) | (v180(constB121) <=> (~((~v181(constB121)) | (~v1(constB121))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> (~((~v181(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB120, constB121)) | (v180(constB121) <=> (~((~v1(constB121)) | (~v181(constB121))))))),
% 17.59/12.81 inference(transitivity,[status(thm)],[38271, 38269])).
% 17.59/12.81 tff(38273,plain,
% 17.59/12.81 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> (~((~v181(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB120, constB121)) | (v180(constB121) <=> (~((~v181(constB121)) | (~v1(constB121))))))),
% 17.59/12.81 inference(quant_inst,[status(thm)],[])).
% 17.59/12.81 tff(38274,plain,
% 17.59/12.81 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> (~((~v181(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB120, constB121)) | (v180(constB121) <=> (~((~v1(constB121)) | (~v181(constB121)))))),
% 17.59/12.81 inference(modus_ponens,[status(thm)],[38273, 38272])).
% 17.59/12.81 tff(38275,plain,
% 17.59/12.81 (v180(constB121) <=> (~((~v1(constB121)) | (~v181(constB121))))),
% 17.59/12.81 inference(unit_resolution,[status(thm)],[38274, 14915, 13556])).
% 17.59/12.81 tff(38276,plain,
% 17.59/12.81 (((~v1(constB121)) | (~v181(constB121))) | v1(constB121)),
% 17.59/12.81 inference(tautology,[status(thm)],[])).
% 17.59/12.81 tff(38277,plain,
% 17.59/12.81 ((~v1(constB121)) | (~v181(constB121))),
% 17.59/12.81 inference(unit_resolution,[status(thm)],[38276, 14876])).
% 17.59/12.81 tff(38278,plain,
% 17.59/12.81 ((~(v180(constB121) <=> (~((~v1(constB121)) | (~v181(constB121)))))) | (~v180(constB121)) | (~((~v1(constB121)) | (~v181(constB121))))),
% 17.59/12.81 inference(tautology,[status(thm)],[])).
% 17.59/12.81 tff(38279,plain,
% 17.59/12.81 ((~(v180(constB121) <=> (~((~v1(constB121)) | (~v181(constB121)))))) | (~v180(constB121))),
% 17.59/12.81 inference(unit_resolution,[status(thm)],[38278, 38277])).
% 17.59/12.81 tff(38280,plain,
% 17.59/12.81 (~v180(constB121)),
% 17.59/12.81 inference(unit_resolution,[status(thm)],[38279, 38275])).
% 17.59/12.81 tff(38281,plain,
% 17.59/12.81 ((~(v179(constB121) <=> v180(constB121))) | (~v179(constB121)) | v180(constB121)),
% 17.59/12.81 inference(tautology,[status(thm)],[])).
% 17.59/12.81 tff(38282,plain,
% 17.59/12.81 (~v179(constB121)),
% 17.59/12.81 inference(unit_resolution,[status(thm)],[38281, 38280, 38268])).
% 17.59/12.81 tff(38283,plain,
% 17.59/12.81 (((~![VarCurr: $i, VarNext: $i] : ((v159(VarNext) <=> v159(VarCurr)) | v179(VarNext) | (~nextState(VarCurr, VarNext)))) | ((~nextState(constB120, constB121)) | v179(constB121) | (v159(constB121) <=> v159(constB120)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((v159(VarNext) <=> v159(VarCurr)) | v179(VarNext) | (~nextState(VarCurr, VarNext)))) | (~nextState(constB120, constB121)) | v179(constB121) | (v159(constB121) <=> v159(constB120)))),
% 17.59/12.81 inference(rewrite,[status(thm)],[])).
% 17.59/12.81 tff(38284,plain,
% 17.59/12.81 (((v159(constB121) <=> v159(constB120)) | v179(constB121) | (~nextState(constB120, constB121))) <=> ((~nextState(constB120, constB121)) | v179(constB121) | (v159(constB121) <=> v159(constB120)))),
% 17.59/12.81 inference(rewrite,[status(thm)],[])).
% 17.59/12.81 tff(38285,plain,
% 17.59/12.81 (((~![VarCurr: $i, VarNext: $i] : ((v159(VarNext) <=> v159(VarCurr)) | v179(VarNext) | (~nextState(VarCurr, VarNext)))) | ((v159(constB121) <=> v159(constB120)) | v179(constB121) | (~nextState(constB120, constB121)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((v159(VarNext) <=> v159(VarCurr)) | v179(VarNext) | (~nextState(VarCurr, VarNext)))) | ((~nextState(constB120, constB121)) | v179(constB121) | (v159(constB121) <=> v159(constB120))))),
% 17.59/12.81 inference(monotonicity,[status(thm)],[38284])).
% 17.59/12.81 tff(38286,plain,
% 17.59/12.81 (((~![VarCurr: $i, VarNext: $i] : ((v159(VarNext) <=> v159(VarCurr)) | v179(VarNext) | (~nextState(VarCurr, VarNext)))) | ((v159(constB121) <=> v159(constB120)) | v179(constB121) | (~nextState(constB120, constB121)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((v159(VarNext) <=> v159(VarCurr)) | v179(VarNext) | (~nextState(VarCurr, VarNext)))) | (~nextState(constB120, constB121)) | v179(constB121) | (v159(constB121) <=> v159(constB120)))),
% 17.59/12.81 inference(transitivity,[status(thm)],[38285, 38283])).
% 17.59/12.81 tff(38287,plain,
% 17.59/12.81 ((~![VarCurr: $i, VarNext: $i] : ((v159(VarNext) <=> v159(VarCurr)) | v179(VarNext) | (~nextState(VarCurr, VarNext)))) | ((v159(constB121) <=> v159(constB120)) | v179(constB121) | (~nextState(constB120, constB121)))),
% 17.59/12.81 inference(quant_inst,[status(thm)],[])).
% 17.59/12.81 tff(38288,plain,
% 17.59/12.81 ((~![VarCurr: $i, VarNext: $i] : ((v159(VarNext) <=> v159(VarCurr)) | v179(VarNext) | (~nextState(VarCurr, VarNext)))) | (~nextState(constB120, constB121)) | v179(constB121) | (v159(constB121) <=> v159(constB120))),
% 17.59/12.81 inference(modus_ponens,[status(thm)],[38287, 38286])).
% 17.59/12.81 tff(38289,plain,
% 17.59/12.81 (v179(constB121) | (v159(constB121) <=> v159(constB120))),
% 17.59/12.81 inference(unit_resolution,[status(thm)],[38288, 14915, 13580])).
% 17.59/12.81 tff(38290,plain,
% 17.59/12.81 (v159(constB121) <=> v159(constB120)),
% 17.59/12.81 inference(unit_resolution,[status(thm)],[38289, 38282])).
% 17.59/12.81 tff(38291,plain,
% 17.59/12.81 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v179(VarNext) <=> v180(VarNext)))) | ((~nextState(constB119, constB120)) | (v179(constB120) <=> v180(constB120)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v179(VarNext) <=> v180(VarNext)))) | (~nextState(constB119, constB120)) | (v179(constB120) <=> v180(constB120)))),
% 17.59/12.81 inference(rewrite,[status(thm)],[])).
% 17.59/12.81 tff(38292,plain,
% 17.59/12.81 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v179(VarNext) <=> v180(VarNext)))) | ((~nextState(constB119, constB120)) | (v179(constB120) <=> v180(constB120)))),
% 17.59/12.81 inference(quant_inst,[status(thm)],[])).
% 17.59/12.81 tff(38293,plain,
% 17.59/12.81 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v179(VarNext) <=> v180(VarNext)))) | (~nextState(constB119, constB120)) | (v179(constB120) <=> v180(constB120))),
% 17.59/12.81 inference(modus_ponens,[status(thm)],[38292, 38291])).
% 17.59/12.81 tff(38294,plain,
% 17.59/12.81 (v179(constB120) <=> v180(constB120)),
% 17.59/12.81 inference(unit_resolution,[status(thm)],[38293, 14947, 13536])).
% 17.59/12.81 tff(38295,plain,
% 17.59/12.81 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> (~((~v181(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB119, constB120)) | (v180(constB120) <=> (~((~v1(constB120)) | (~v181(constB120))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> (~((~v181(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB119, constB120)) | (v180(constB120) <=> (~((~v1(constB120)) | (~v181(constB120))))))),
% 17.59/12.81 inference(rewrite,[status(thm)],[])).
% 17.59/12.81 tff(38296,plain,
% 17.59/12.81 (((~nextState(constB119, constB120)) | (v180(constB120) <=> (~((~v181(constB120)) | (~v1(constB120)))))) <=> ((~nextState(constB119, constB120)) | (v180(constB120) <=> (~((~v1(constB120)) | (~v181(constB120))))))),
% 17.59/12.81 inference(rewrite,[status(thm)],[])).
% 17.59/12.81 tff(38297,plain,
% 17.59/12.81 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> (~((~v181(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB119, constB120)) | (v180(constB120) <=> (~((~v181(constB120)) | (~v1(constB120))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> (~((~v181(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB119, constB120)) | (v180(constB120) <=> (~((~v1(constB120)) | (~v181(constB120)))))))),
% 17.59/12.81 inference(monotonicity,[status(thm)],[38296])).
% 17.59/12.81 tff(38298,plain,
% 17.59/12.81 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> (~((~v181(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB119, constB120)) | (v180(constB120) <=> (~((~v181(constB120)) | (~v1(constB120))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> (~((~v181(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB119, constB120)) | (v180(constB120) <=> (~((~v1(constB120)) | (~v181(constB120))))))),
% 17.59/12.81 inference(transitivity,[status(thm)],[38297, 38295])).
% 17.59/12.81 tff(38299,plain,
% 17.59/12.81 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> (~((~v181(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB119, constB120)) | (v180(constB120) <=> (~((~v181(constB120)) | (~v1(constB120))))))),
% 17.59/12.81 inference(quant_inst,[status(thm)],[])).
% 17.59/12.81 tff(38300,plain,
% 17.59/12.81 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> (~((~v181(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB119, constB120)) | (v180(constB120) <=> (~((~v1(constB120)) | (~v181(constB120)))))),
% 17.59/12.81 inference(modus_ponens,[status(thm)],[38299, 38298])).
% 17.59/12.81 tff(38301,plain,
% 17.59/12.81 (v180(constB120) <=> (~((~v1(constB120)) | (~v181(constB120))))),
% 17.59/12.81 inference(unit_resolution,[status(thm)],[38300, 14947, 13556])).
% 17.59/12.81 tff(38302,plain,
% 17.59/12.81 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v181(VarNext)) <=> v104(VarNext)))) | ((~nextState(constB119, constB120)) | ((~v181(constB120)) <=> v104(constB120)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v181(VarNext)) <=> v104(VarNext)))) | (~nextState(constB119, constB120)) | ((~v181(constB120)) <=> v104(constB120)))),
% 17.59/12.81 inference(rewrite,[status(thm)],[])).
% 17.59/12.81 tff(38303,plain,
% 17.59/12.81 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v181(VarNext)) <=> v104(VarNext)))) | ((~nextState(constB119, constB120)) | ((~v181(constB120)) <=> v104(constB120)))),
% 17.59/12.81 inference(quant_inst,[status(thm)],[])).
% 17.59/12.82 tff(38304,plain,
% 17.59/12.82 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v181(VarNext)) <=> v104(VarNext)))) | (~nextState(constB119, constB120)) | ((~v181(constB120)) <=> v104(constB120))),
% 17.59/12.82 inference(modus_ponens,[status(thm)],[38303, 38302])).
% 17.59/12.82 tff(38305,plain,
% 17.59/12.82 ((~v181(constB120)) <=> v104(constB120)),
% 17.59/12.82 inference(unit_resolution,[status(thm)],[38304, 14947, 13612])).
% 17.59/12.82 tff(38306,plain,
% 17.59/12.82 ((~((~v181(constB120)) <=> v104(constB120))) | v181(constB120) | v104(constB120)),
% 17.59/12.82 inference(tautology,[status(thm)],[])).
% 17.59/12.82 tff(38307,plain,
% 17.59/12.82 (v181(constB120)),
% 17.59/12.82 inference(unit_resolution,[status(thm)],[38306, 14972, 38305])).
% 17.59/12.82 tff(38308,plain,
% 17.59/12.82 ((~((~v1(constB120)) | (~v181(constB120)))) | (~v1(constB120)) | (~v181(constB120))),
% 17.59/12.82 inference(tautology,[status(thm)],[])).
% 17.59/12.82 tff(38309,plain,
% 17.59/12.82 ((~((~v1(constB120)) | (~v181(constB120)))) | (~v181(constB120))),
% 17.59/12.82 inference(unit_resolution,[status(thm)],[38308, 14977])).
% 17.59/12.82 tff(38310,plain,
% 17.59/12.82 (~((~v1(constB120)) | (~v181(constB120)))),
% 17.59/12.82 inference(unit_resolution,[status(thm)],[38309, 38307])).
% 17.59/12.82 tff(38311,plain,
% 17.59/12.82 ((~(v180(constB120) <=> (~((~v1(constB120)) | (~v181(constB120)))))) | v180(constB120) | ((~v1(constB120)) | (~v181(constB120)))),
% 17.59/12.82 inference(tautology,[status(thm)],[])).
% 17.59/12.82 tff(38312,plain,
% 17.59/12.82 (v180(constB120)),
% 17.59/12.82 inference(unit_resolution,[status(thm)],[38311, 38310, 38301])).
% 17.59/12.82 tff(38313,plain,
% 17.59/12.82 ((~(v179(constB120) <=> v180(constB120))) | v179(constB120) | (~v180(constB120))),
% 17.59/12.82 inference(tautology,[status(thm)],[])).
% 17.59/12.82 tff(38314,plain,
% 17.59/12.82 (v179(constB120)),
% 17.59/12.82 inference(unit_resolution,[status(thm)],[38313, 38312, 38294])).
% 17.59/12.82 tff(38315,plain,
% 17.59/12.82 (((~![VarNext: $i] : ((~v179(VarNext)) | (v159(VarNext) <=> v186(VarNext)))) | ((~v179(constB120)) | (v159(constB120) <=> v186(constB120)))) <=> ((~![VarNext: $i] : ((~v179(VarNext)) | (v159(VarNext) <=> v186(VarNext)))) | (~v179(constB120)) | (v159(constB120) <=> v186(constB120)))),
% 17.59/12.82 inference(rewrite,[status(thm)],[])).
% 17.59/12.82 tff(38316,plain,
% 17.59/12.82 ((~![VarNext: $i] : ((~v179(VarNext)) | (v159(VarNext) <=> v186(VarNext)))) | ((~v179(constB120)) | (v159(constB120) <=> v186(constB120)))),
% 17.59/12.82 inference(quant_inst,[status(thm)],[])).
% 17.59/12.82 tff(38317,plain,
% 17.59/12.82 ((~![VarNext: $i] : ((~v179(VarNext)) | (v159(VarNext) <=> v186(VarNext)))) | (~v179(constB120)) | (v159(constB120) <=> v186(constB120))),
% 17.59/12.82 inference(modus_ponens,[status(thm)],[38316, 38315])).
% 17.59/12.82 tff(38318,plain,
% 17.59/12.82 (v159(constB120) <=> v186(constB120)),
% 17.59/12.82 inference(unit_resolution,[status(thm)],[38317, 13648, 38314])).
% 17.59/12.82 tff(38319,plain,
% 17.59/12.82 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v186(VarNext) <=> v161(VarCurr)))) | ((~nextState(constB119, constB120)) | (v186(constB120) <=> v161(constB119)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v186(VarNext) <=> v161(VarCurr)))) | (~nextState(constB119, constB120)) | (v186(constB120) <=> v161(constB119)))),
% 17.59/12.82 inference(rewrite,[status(thm)],[])).
% 17.59/12.82 tff(38320,plain,
% 17.59/12.82 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v186(VarNext) <=> v161(VarCurr)))) | ((~nextState(constB119, constB120)) | (v186(constB120) <=> v161(constB119)))),
% 17.59/12.82 inference(quant_inst,[status(thm)],[])).
% 17.59/12.82 tff(38321,plain,
% 17.59/12.82 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v186(VarNext) <=> v161(VarCurr)))) | (~nextState(constB119, constB120)) | (v186(constB120) <=> v161(constB119))),
% 17.59/12.82 inference(modus_ponens,[status(thm)],[38320, 38319])).
% 17.59/12.82 tff(38322,plain,
% 17.59/12.82 (v186(constB120) <=> v161(constB119)),
% 17.59/12.82 inference(unit_resolution,[status(thm)],[38321, 14947, 13662])).
% 17.59/12.82 tff(38323,plain,
% 17.59/12.82 ((~![VarCurr: $i] : (v161(VarCurr) <=> v163(VarCurr))) | (v161(constB119) <=> v163(constB119))),
% 17.59/12.82 inference(quant_inst,[status(thm)],[])).
% 17.59/12.82 tff(38324,plain,
% 17.59/12.82 (v161(constB119) <=> v163(constB119)),
% 17.59/12.82 inference(unit_resolution,[status(thm)],[38323, 357])).
% 17.59/12.82 tff(38325,plain,
% 17.59/12.82 ((~![VarCurr: $i] : (v171(VarCurr) <=> (v142(VarCurr) | v150(VarCurr)))) | (v171(constB119) <=> (v142(constB119) | v150(constB119)))),
% 17.59/12.82 inference(quant_inst,[status(thm)],[])).
% 17.59/12.82 tff(38326,plain,
% 17.59/12.82 (v171(constB119) <=> (v142(constB119) | v150(constB119))),
% 17.59/12.82 inference(unit_resolution,[status(thm)],[38325, 369])).
% 17.59/12.82 tff(38327,plain,
% 17.59/12.82 ((v142(constB119) | v150(constB119)) | (~v142(constB119))),
% 17.59/12.82 inference(tautology,[status(thm)],[])).
% 17.59/12.82 tff(38328,plain,
% 17.59/12.82 (v142(constB119) | v150(constB119)),
% 17.59/12.82 inference(unit_resolution,[status(thm)],[38327, 28216])).
% 17.59/12.82 tff(38329,plain,
% 17.59/12.82 ((~(v171(constB119) <=> (v142(constB119) | v150(constB119)))) | v171(constB119) | (~(v142(constB119) | v150(constB119)))),
% 17.59/12.82 inference(tautology,[status(thm)],[])).
% 17.59/12.82 tff(38330,plain,
% 17.59/12.82 (v171(constB119)),
% 17.59/12.82 inference(unit_resolution,[status(thm)],[38329, 38328, 38326])).
% 17.59/12.82 tff(38331,plain,
% 17.59/12.82 (((~![VarCurr: $i] : ((~v171(VarCurr)) | (~v170(VarCurr)))) | ((~v170(constB119)) | (~v171(constB119)))) <=> ((~![VarCurr: $i] : ((~v171(VarCurr)) | (~v170(VarCurr)))) | (~v170(constB119)) | (~v171(constB119)))),
% 17.59/12.82 inference(rewrite,[status(thm)],[])).
% 17.59/12.82 tff(38332,plain,
% 17.59/12.82 (((~v171(constB119)) | (~v170(constB119))) <=> ((~v170(constB119)) | (~v171(constB119)))),
% 17.59/12.82 inference(rewrite,[status(thm)],[])).
% 17.59/12.82 tff(38333,plain,
% 17.59/12.82 (((~![VarCurr: $i] : ((~v171(VarCurr)) | (~v170(VarCurr)))) | ((~v171(constB119)) | (~v170(constB119)))) <=> ((~![VarCurr: $i] : ((~v171(VarCurr)) | (~v170(VarCurr)))) | ((~v170(constB119)) | (~v171(constB119))))),
% 17.59/12.82 inference(monotonicity,[status(thm)],[38332])).
% 17.59/12.82 tff(38334,plain,
% 17.59/12.82 (((~![VarCurr: $i] : ((~v171(VarCurr)) | (~v170(VarCurr)))) | ((~v171(constB119)) | (~v170(constB119)))) <=> ((~![VarCurr: $i] : ((~v171(VarCurr)) | (~v170(VarCurr)))) | (~v170(constB119)) | (~v171(constB119)))),
% 17.59/12.82 inference(transitivity,[status(thm)],[38333, 38331])).
% 17.59/12.82 tff(38335,plain,
% 17.59/12.82 ((~![VarCurr: $i] : ((~v171(VarCurr)) | (~v170(VarCurr)))) | ((~v171(constB119)) | (~v170(constB119)))),
% 17.59/12.82 inference(quant_inst,[status(thm)],[])).
% 17.59/12.82 tff(38336,plain,
% 17.59/12.82 ((~![VarCurr: $i] : ((~v171(VarCurr)) | (~v170(VarCurr)))) | (~v170(constB119)) | (~v171(constB119))),
% 17.59/12.82 inference(modus_ponens,[status(thm)],[38335, 38334])).
% 17.59/12.82 tff(38337,plain,
% 17.59/12.82 ((~v170(constB119)) | (~v171(constB119))),
% 17.59/12.82 inference(unit_resolution,[status(thm)],[38336, 13061])).
% 17.59/12.82 tff(38338,plain,
% 17.59/12.82 (~v170(constB119)),
% 17.59/12.82 inference(unit_resolution,[status(thm)],[38337, 38330])).
% 17.59/12.82 tff(38339,plain,
% 17.59/12.82 ((~![VarCurr: $i] : (v166(VarCurr) <=> (v145(VarCurr) | v167(VarCurr)))) | (v166(constB119) <=> (v145(constB119) | v167(constB119)))),
% 17.59/12.82 inference(quant_inst,[status(thm)],[])).
% 17.59/12.82 tff(38340,plain,
% 17.59/12.82 (v166(constB119) <=> (v145(constB119) | v167(constB119))),
% 17.59/12.82 inference(unit_resolution,[status(thm)],[38339, 13079])).
% 17.59/12.82 tff(38341,plain,
% 17.59/12.82 ((~![VarCurr: $i] : (v167(VarCurr) <=> (v142(VarCurr) | v168(VarCurr)))) | (v167(constB119) <=> (v142(constB119) | v168(constB119)))),
% 17.59/12.82 inference(quant_inst,[status(thm)],[])).
% 17.59/12.82 tff(38342,plain,
% 17.59/12.82 (v167(constB119) <=> (v142(constB119) | v168(constB119))),
% 17.59/12.82 inference(unit_resolution,[status(thm)],[38341, 13091])).
% 17.59/12.82 tff(38343,plain,
% 17.59/12.82 ((v142(constB119) | v168(constB119)) | (~v142(constB119))),
% 17.59/12.82 inference(tautology,[status(thm)],[])).
% 17.59/12.82 tff(38344,plain,
% 17.59/12.82 (v142(constB119) | v168(constB119)),
% 17.59/12.82 inference(unit_resolution,[status(thm)],[38343, 28216])).
% 17.59/12.82 tff(38345,plain,
% 17.59/12.82 ((~(v167(constB119) <=> (v142(constB119) | v168(constB119)))) | v167(constB119) | (~(v142(constB119) | v168(constB119)))),
% 17.59/12.82 inference(tautology,[status(thm)],[])).
% 17.59/12.82 tff(38346,plain,
% 17.59/12.82 (v167(constB119)),
% 17.59/12.82 inference(unit_resolution,[status(thm)],[38345, 38344, 38342])).
% 17.59/12.82 tff(38347,plain,
% 17.59/12.82 ((v145(constB119) | v167(constB119)) | (~v167(constB119))),
% 17.59/12.82 inference(tautology,[status(thm)],[])).
% 17.59/12.82 tff(38348,plain,
% 17.59/12.82 (v145(constB119) | v167(constB119)),
% 17.59/12.82 inference(unit_resolution,[status(thm)],[38347, 38346])).
% 17.59/12.82 tff(38349,plain,
% 17.59/12.82 ((~(v166(constB119) <=> (v145(constB119) | v167(constB119)))) | v166(constB119) | (~(v145(constB119) | v167(constB119)))),
% 17.59/12.82 inference(tautology,[status(thm)],[])).
% 17.59/12.82 tff(38350,plain,
% 17.59/12.82 (v166(constB119)),
% 17.59/12.82 inference(unit_resolution,[status(thm)],[38349, 38348, 38340])).
% 17.59/12.82 tff(38351,plain,
% 17.59/12.82 (((~![VarNext: $i] : ((~v166(VarNext)) | (v163(VarNext) <=> v170(VarNext)))) | ((~v166(constB119)) | (v163(constB119) <=> v170(constB119)))) <=> ((~![VarNext: $i] : ((~v166(VarNext)) | (v163(VarNext) <=> v170(VarNext)))) | (~v166(constB119)) | (v163(constB119) <=> v170(constB119)))),
% 17.59/12.82 inference(rewrite,[status(thm)],[])).
% 17.59/12.82 tff(38352,plain,
% 17.59/12.82 ((~![VarNext: $i] : ((~v166(VarNext)) | (v163(VarNext) <=> v170(VarNext)))) | ((~v166(constB119)) | (v163(constB119) <=> v170(constB119)))),
% 17.59/12.82 inference(quant_inst,[status(thm)],[])).
% 17.59/12.82 tff(38353,plain,
% 17.59/12.82 ((~![VarNext: $i] : ((~v166(VarNext)) | (v163(VarNext) <=> v170(VarNext)))) | (~v166(constB119)) | (v163(constB119) <=> v170(constB119))),
% 17.59/12.82 inference(modus_ponens,[status(thm)],[38352, 38351])).
% 17.59/12.82 tff(38354,plain,
% 17.59/12.82 ((~v166(constB119)) | (v163(constB119) <=> v170(constB119))),
% 17.59/12.82 inference(unit_resolution,[status(thm)],[38353, 13111])).
% 17.59/12.82 tff(38355,plain,
% 17.59/12.82 (v163(constB119) <=> v170(constB119)),
% 17.59/12.82 inference(unit_resolution,[status(thm)],[38354, 38350])).
% 17.59/12.82 tff(38356,plain,
% 17.59/12.82 ((~(v163(constB119) <=> v170(constB119))) | (~v163(constB119)) | v170(constB119)),
% 17.59/12.82 inference(tautology,[status(thm)],[])).
% 17.59/12.82 tff(38357,plain,
% 17.59/12.82 (~v163(constB119)),
% 17.59/12.82 inference(unit_resolution,[status(thm)],[38356, 38355, 38338])).
% 17.59/12.82 tff(38358,plain,
% 17.59/12.82 ((~(v161(constB119) <=> v163(constB119))) | (~v161(constB119)) | v163(constB119)),
% 17.59/12.82 inference(tautology,[status(thm)],[])).
% 17.59/12.82 tff(38359,plain,
% 17.59/12.82 (~v161(constB119)),
% 17.59/12.82 inference(unit_resolution,[status(thm)],[38358, 38357, 38324])).
% 17.59/12.82 tff(38360,plain,
% 17.59/12.82 ((~(v186(constB120) <=> v161(constB119))) | (~v186(constB120)) | v161(constB119)),
% 17.59/12.82 inference(tautology,[status(thm)],[])).
% 17.59/12.82 tff(38361,plain,
% 17.59/12.82 (~v186(constB120)),
% 17.59/12.82 inference(unit_resolution,[status(thm)],[38360, 38359, 38322])).
% 17.59/12.82 tff(38362,plain,
% 17.59/12.82 ((~(v159(constB120) <=> v186(constB120))) | (~v159(constB120)) | v186(constB120)),
% 17.59/12.82 inference(tautology,[status(thm)],[])).
% 17.59/12.82 tff(38363,plain,
% 17.59/12.82 (~v159(constB120)),
% 17.59/12.82 inference(unit_resolution,[status(thm)],[38362, 38361, 38318])).
% 17.59/12.82 tff(38364,plain,
% 17.59/12.82 ((~(v159(constB121) <=> v159(constB120))) | (~v159(constB121)) | v159(constB120)),
% 17.59/12.82 inference(tautology,[status(thm)],[])).
% 17.59/12.82 tff(38365,plain,
% 17.59/12.82 (~v159(constB121)),
% 17.59/12.82 inference(unit_resolution,[status(thm)],[38364, 38363, 38290])).
% 17.59/12.82 tff(38366,plain,
% 17.59/12.82 (((~v159(constB121)) | (~v161(constB121))) | v159(constB121)),
% 17.59/12.82 inference(tautology,[status(thm)],[])).
% 17.59/12.82 tff(38367,plain,
% 17.59/12.82 ((~v159(constB121)) | (~v161(constB121))),
% 17.59/12.82 inference(unit_resolution,[status(thm)],[38366, 38365])).
% 17.59/12.82 tff(38368,plain,
% 17.59/12.82 ((~(v201(constB121) <=> (~((~v159(constB121)) | (~v161(constB121)))))) | (~v201(constB121)) | (~((~v159(constB121)) | (~v161(constB121))))),
% 17.59/12.82 inference(tautology,[status(thm)],[])).
% 17.59/12.82 tff(38369,plain,
% 17.59/12.82 (~v201(constB121)),
% 17.59/12.82 inference(unit_resolution,[status(thm)],[38368, 38367, 38264])).
% 17.59/12.82 tff(38370,plain,
% 17.59/12.82 (((~v197(constB121)) | (~v201(constB121))) | v201(constB121)),
% 17.59/12.82 inference(tautology,[status(thm)],[])).
% 17.59/12.82 tff(38371,plain,
% 17.59/12.82 ((~v197(constB121)) | (~v201(constB121))),
% 17.59/12.82 inference(unit_resolution,[status(thm)],[38370, 38369])).
% 17.59/12.82 tff(38372,plain,
% 17.59/12.82 ((~(v200(constB121) <=> (~((~v197(constB121)) | (~v201(constB121)))))) | (~v200(constB121)) | (~((~v197(constB121)) | (~v201(constB121))))),
% 17.59/12.82 inference(tautology,[status(thm)],[])).
% 17.59/12.82 tff(38373,plain,
% 17.59/12.82 (~v200(constB121)),
% 17.59/12.82 inference(unit_resolution,[status(thm)],[38372, 38371, 38262])).
% 17.59/12.82 tff(38374,plain,
% 17.59/12.82 (((~v199(constB121)) | (~v200(constB121))) | v200(constB121)),
% 17.59/12.82 inference(tautology,[status(thm)],[])).
% 17.59/12.82 tff(38375,plain,
% 17.59/12.82 ((~v199(constB121)) | (~v200(constB121))),
% 17.59/12.82 inference(unit_resolution,[status(thm)],[38374, 38373])).
% 17.59/12.82 tff(38376,plain,
% 17.59/12.82 ((~(v198(constB121) <=> (~((~v199(constB121)) | (~v200(constB121)))))) | (~v198(constB121)) | (~((~v199(constB121)) | (~v200(constB121))))),
% 17.59/12.82 inference(tautology,[status(thm)],[])).
% 17.59/12.82 tff(38377,plain,
% 17.59/12.82 (~v198(constB121)),
% 17.59/12.82 inference(unit_resolution,[status(thm)],[38376, 38375, 38260])).
% 17.59/12.82 tff(38378,plain,
% 17.59/12.82 ((~(v194(constB121) | v198(constB121))) | v194(constB121) | v198(constB121)),
% 17.59/12.82 inference(tautology,[status(thm)],[])).
% 17.59/12.82 tff(38379,plain,
% 17.59/12.82 (~(v194(constB121) | v198(constB121))),
% 17.59/12.82 inference(unit_resolution,[status(thm)],[38378, 38377, 38258])).
% 17.59/12.82 tff(38380,plain,
% 17.59/12.82 ((~(v191(constB121) <=> (v194(constB121) | v198(constB121)))) | (~v191(constB121)) | (v194(constB121) | v198(constB121))),
% 17.59/12.82 inference(tautology,[status(thm)],[])).
% 17.59/12.82 tff(38381,plain,
% 17.59/12.82 (~v191(constB121)),
% 17.59/12.82 inference(unit_resolution,[status(thm)],[38380, 38379, 38185])).
% 17.59/12.82 tff(38382,plain,
% 17.59/12.82 ((~(v193(constB122) <=> v191(constB121))) | (~v193(constB122)) | v191(constB121)),
% 17.59/12.82 inference(tautology,[status(thm)],[])).
% 17.59/12.82 tff(38383,plain,
% 17.59/12.82 (~v193(constB122)),
% 17.59/12.82 inference(unit_resolution,[status(thm)],[38382, 38381, 38183])).
% 17.59/12.82 tff(38384,plain,
% 17.59/12.82 ((~(v157(constB122) <=> v193(constB122))) | (~v157(constB122)) | v193(constB122)),
% 17.59/12.82 inference(tautology,[status(thm)],[])).
% 17.59/12.82 tff(38385,plain,
% 17.59/12.82 (~v157(constB122)),
% 17.59/12.82 inference(unit_resolution,[status(thm)],[38384, 38383, 38179])).
% 17.59/12.82 tff(38386,plain,
% 17.59/12.82 (((~v157(constB122)) | (~v195(constB122))) | v157(constB122)),
% 17.59/12.82 inference(tautology,[status(thm)],[])).
% 17.59/12.82 tff(38387,plain,
% 17.59/12.82 ((~v157(constB122)) | (~v195(constB122))),
% 17.59/12.82 inference(unit_resolution,[status(thm)],[38386, 38385])).
% 17.59/12.82 tff(38388,plain,
% 17.59/12.82 ((~(v194(constB122) <=> (~((~v157(constB122)) | (~v195(constB122)))))) | (~v194(constB122)) | (~((~v157(constB122)) | (~v195(constB122))))),
% 17.59/12.82 inference(tautology,[status(thm)],[])).
% 17.59/12.82 tff(38389,plain,
% 17.59/12.82 (~v194(constB122)),
% 17.59/12.82 inference(unit_resolution,[status(thm)],[38388, 38387, 38177])).
% 17.59/12.82 tff(38390,plain,
% 17.59/12.82 ((~(v194(constB122) | v198(constB122))) | v194(constB122) | v198(constB122)),
% 17.59/12.82 inference(tautology,[status(thm)],[])).
% 17.59/12.82 tff(38391,plain,
% 17.59/12.82 (~(v194(constB122) | v198(constB122))),
% 17.59/12.82 inference(unit_resolution,[status(thm)],[38390, 38389, 38170])).
% 17.59/12.82 tff(38392,plain,
% 17.59/12.82 ((~(v191(constB122) <=> (v194(constB122) | v198(constB122)))) | (~v191(constB122)) | (v194(constB122) | v198(constB122))),
% 17.59/12.82 inference(tautology,[status(thm)],[])).
% 17.59/12.82 tff(38393,plain,
% 17.59/12.82 (~v191(constB122)),
% 17.59/12.82 inference(unit_resolution,[status(thm)],[38392, 38391, 38145])).
% 17.59/12.82 tff(38394,plain,
% 17.59/12.82 ((~(v193(constB123) <=> v191(constB122))) | (~v193(constB123)) | v191(constB122)),
% 17.59/12.82 inference(tautology,[status(thm)],[])).
% 17.59/12.82 tff(38395,plain,
% 17.59/12.82 (~v193(constB123)),
% 17.59/12.82 inference(unit_resolution,[status(thm)],[38394, 38393, 38143])).
% 17.59/12.82 tff(38396,plain,
% 17.59/12.82 ($false),
% 17.59/12.82 inference(unit_resolution,[status(thm)],[38395, 38139])).
% 17.59/12.82 tff(38397,plain,(~(constB123 = VarCurr!0)), inference(lemma,lemma(discharge,[]))).
% 17.59/12.82 tff(38398,assumption,(constB121 = VarCurr!0), introduced(assumption)).
% 17.59/12.82 tff(38399,plain,
% 17.59/12.82 (v193(constB121) <=> v193(VarCurr!0)),
% 17.59/12.82 inference(monotonicity,[status(thm)],[38398])).
% 17.59/12.82 tff(38400,plain,
% 17.59/12.82 (v193(VarCurr!0) <=> v193(constB121)),
% 17.59/12.82 inference(symmetry,[status(thm)],[38399])).
% 17.59/12.82 tff(38401,plain,
% 17.59/12.82 (v193(constB121)),
% 17.59/12.82 inference(modus_ponens,[status(thm)],[59, 38400])).
% 17.59/12.82 tff(38402,plain,
% 17.59/12.82 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v193(VarNext) <=> v191(VarCurr)))) | ((~nextState(constB120, constB121)) | (v193(constB121) <=> v191(constB120)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v193(VarNext) <=> v191(VarCurr)))) | (~nextState(constB120, constB121)) | (v193(constB121) <=> v191(constB120)))),
% 17.59/12.82 inference(rewrite,[status(thm)],[])).
% 17.59/12.82 tff(38403,plain,
% 17.59/12.82 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v193(VarNext) <=> v191(VarCurr)))) | ((~nextState(constB120, constB121)) | (v193(constB121) <=> v191(constB120)))),
% 17.59/12.82 inference(quant_inst,[status(thm)],[])).
% 17.59/12.82 tff(38404,plain,
% 17.59/12.82 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v193(VarNext) <=> v191(VarCurr)))) | (~nextState(constB120, constB121)) | (v193(constB121) <=> v191(constB120))),
% 17.59/12.82 inference(modus_ponens,[status(thm)],[38403, 38402])).
% 17.59/12.82 tff(38405,plain,
% 17.59/12.82 (v193(constB121) <=> v191(constB120)),
% 17.59/12.82 inference(unit_resolution,[status(thm)],[38404, 14915, 70])).
% 17.59/12.82 tff(38406,plain,
% 17.59/12.82 ((~![VarCurr: $i] : (v191(VarCurr) <=> (v194(VarCurr) | v198(VarCurr)))) | (v191(constB120) <=> (v194(constB120) | v198(constB120)))),
% 17.59/12.82 inference(quant_inst,[status(thm)],[])).
% 17.59/12.82 tff(38407,plain,
% 17.59/12.82 (v191(constB120) <=> (v194(constB120) | v198(constB120))),
% 17.59/12.82 inference(unit_resolution,[status(thm)],[38406, 84])).
% 17.59/12.82 tff(38408,plain,
% 17.59/12.82 ((~![VarCurr: $i] : (v198(VarCurr) <=> (~((~v199(VarCurr)) | (~v200(VarCurr)))))) | (v198(constB120) <=> (~((~v199(constB120)) | (~v200(constB120)))))),
% 17.59/12.82 inference(quant_inst,[status(thm)],[])).
% 17.59/12.82 tff(38409,plain,
% 17.59/12.82 (v198(constB120) <=> (~((~v199(constB120)) | (~v200(constB120))))),
% 17.59/12.82 inference(unit_resolution,[status(thm)],[38408, 96])).
% 17.59/12.82 tff(38410,plain,
% 17.59/12.82 ((~![VarCurr: $i] : (v200(VarCurr) <=> (~((~v197(VarCurr)) | (~v201(VarCurr)))))) | (v200(constB120) <=> (~((~v197(constB120)) | (~v201(constB120)))))),
% 17.59/12.82 inference(quant_inst,[status(thm)],[])).
% 17.59/12.82 tff(38411,plain,
% 17.59/12.82 (v200(constB120) <=> (~((~v197(constB120)) | (~v201(constB120))))),
% 17.59/12.82 inference(unit_resolution,[status(thm)],[38410, 108])).
% 17.59/12.82 tff(38412,plain,
% 17.59/12.82 ((~![VarCurr: $i] : (v197(VarCurr) <=> (~((~v39(VarCurr)) | (~v9(VarCurr)))))) | (v197(constB120) <=> (~((~v39(constB120)) | (~v9(constB120)))))),
% 17.59/12.82 inference(quant_inst,[status(thm)],[])).
% 17.59/12.82 tff(38413,plain,
% 17.59/12.82 (v197(constB120) <=> (~((~v39(constB120)) | (~v9(constB120))))),
% 17.59/12.82 inference(unit_resolution,[status(thm)],[38412, 120])).
% 17.59/12.82 tff(38414,plain,
% 17.59/12.82 ((~![VarCurr: $i] : ((~v39(VarCurr)) <=> v1(VarCurr))) | ((~v39(constB120)) <=> v1(constB120))),
% 17.59/12.82 inference(quant_inst,[status(thm)],[])).
% 17.59/12.82 tff(38415,plain,
% 17.59/12.82 ((~v39(constB120)) <=> v1(constB120)),
% 17.59/12.82 inference(unit_resolution,[status(thm)],[38414, 129])).
% 17.59/12.82 tff(38416,plain,
% 17.59/12.82 ((~((~v39(constB120)) <=> v1(constB120))) | (~v39(constB120)) | (~v1(constB120))),
% 17.59/12.82 inference(tautology,[status(thm)],[])).
% 17.59/12.82 tff(38417,plain,
% 17.59/12.82 ((~((~v39(constB120)) <=> v1(constB120))) | (~v39(constB120))),
% 17.59/12.82 inference(unit_resolution,[status(thm)],[38416, 14977])).
% 17.59/12.82 tff(38418,plain,
% 17.59/12.82 (~v39(constB120)),
% 17.59/12.82 inference(unit_resolution,[status(thm)],[38417, 38415])).
% 17.59/12.82 tff(38419,plain,
% 17.59/12.82 (((~v39(constB120)) | (~v9(constB120))) | v39(constB120)),
% 17.59/12.82 inference(tautology,[status(thm)],[])).
% 17.59/12.82 tff(38420,plain,
% 17.59/12.82 ((~v39(constB120)) | (~v9(constB120))),
% 17.59/12.82 inference(unit_resolution,[status(thm)],[38419, 38418])).
% 17.59/12.82 tff(38421,plain,
% 17.59/12.82 ((~(v197(constB120) <=> (~((~v39(constB120)) | (~v9(constB120)))))) | (~v197(constB120)) | (~((~v39(constB120)) | (~v9(constB120))))),
% 17.59/12.82 inference(tautology,[status(thm)],[])).
% 17.59/12.82 tff(38422,plain,
% 17.59/12.82 ((~(v197(constB120) <=> (~((~v39(constB120)) | (~v9(constB120)))))) | (~v197(constB120))),
% 17.59/12.82 inference(unit_resolution,[status(thm)],[38421, 38420])).
% 17.59/12.82 tff(38423,plain,
% 17.59/12.82 (~v197(constB120)),
% 17.59/12.82 inference(unit_resolution,[status(thm)],[38422, 38413])).
% 17.59/12.82 tff(38424,plain,
% 17.59/12.82 (((~v197(constB120)) | (~v201(constB120))) | v197(constB120)),
% 17.59/12.82 inference(tautology,[status(thm)],[])).
% 17.59/12.82 tff(38425,plain,
% 17.59/12.82 ((~v197(constB120)) | (~v201(constB120))),
% 17.59/12.82 inference(unit_resolution,[status(thm)],[38424, 38423])).
% 17.59/12.82 tff(38426,plain,
% 17.59/12.82 ((~(v200(constB120) <=> (~((~v197(constB120)) | (~v201(constB120)))))) | (~v200(constB120)) | (~((~v197(constB120)) | (~v201(constB120))))),
% 17.59/12.82 inference(tautology,[status(thm)],[])).
% 17.59/12.82 tff(38427,plain,
% 17.59/12.82 ((~(v200(constB120) <=> (~((~v197(constB120)) | (~v201(constB120)))))) | (~v200(constB120))),
% 17.59/12.82 inference(unit_resolution,[status(thm)],[38426, 38425])).
% 17.59/12.82 tff(38428,plain,
% 17.59/12.82 (~v200(constB120)),
% 17.59/12.82 inference(unit_resolution,[status(thm)],[38427, 38411])).
% 17.59/12.82 tff(38429,plain,
% 17.59/12.82 (((~v199(constB120)) | (~v200(constB120))) | v200(constB120)),
% 17.59/12.82 inference(tautology,[status(thm)],[])).
% 17.59/12.82 tff(38430,plain,
% 17.59/12.82 ((~v199(constB120)) | (~v200(constB120))),
% 17.59/12.82 inference(unit_resolution,[status(thm)],[38429, 38428])).
% 17.59/12.82 tff(38431,plain,
% 17.59/12.82 ((~(v198(constB120) <=> (~((~v199(constB120)) | (~v200(constB120)))))) | (~v198(constB120)) | (~((~v199(constB120)) | (~v200(constB120))))),
% 17.59/12.82 inference(tautology,[status(thm)],[])).
% 17.59/12.82 tff(38432,plain,
% 17.59/12.82 (~v198(constB120)),
% 17.59/12.82 inference(unit_resolution,[status(thm)],[38431, 38430, 38409])).
% 17.59/12.83 tff(38433,plain,
% 17.59/12.83 (((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB120) <=> (~((~v157(constB120)) | (~v195(constB120)))))) <=> ((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB120) <=> (~((~v157(constB120)) | (~v195(constB120))))))),
% 17.59/12.83 inference(rewrite,[status(thm)],[])).
% 17.59/12.83 tff(38434,plain,
% 17.59/12.83 ((v194(constB120) <=> (~((~v195(constB120)) | (~v157(constB120))))) <=> (v194(constB120) <=> (~((~v157(constB120)) | (~v195(constB120)))))),
% 17.59/12.83 inference(rewrite,[status(thm)],[])).
% 17.59/12.83 tff(38435,plain,
% 17.59/12.83 (((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB120) <=> (~((~v195(constB120)) | (~v157(constB120)))))) <=> ((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB120) <=> (~((~v157(constB120)) | (~v195(constB120))))))),
% 17.59/12.83 inference(monotonicity,[status(thm)],[38434])).
% 17.59/12.83 tff(38436,plain,
% 17.59/12.83 (((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB120) <=> (~((~v195(constB120)) | (~v157(constB120)))))) <=> ((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB120) <=> (~((~v157(constB120)) | (~v195(constB120))))))),
% 17.59/12.83 inference(transitivity,[status(thm)],[38435, 38433])).
% 17.59/12.83 tff(38437,plain,
% 17.59/12.83 ((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB120) <=> (~((~v195(constB120)) | (~v157(constB120)))))),
% 17.59/12.83 inference(quant_inst,[status(thm)],[])).
% 17.59/12.83 tff(38438,plain,
% 17.59/12.83 ((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB120) <=> (~((~v157(constB120)) | (~v195(constB120)))))),
% 17.59/12.83 inference(modus_ponens,[status(thm)],[38437, 38436])).
% 17.59/12.83 tff(38439,plain,
% 17.59/12.83 (v194(constB120) <=> (~((~v157(constB120)) | (~v195(constB120))))),
% 17.59/12.83 inference(unit_resolution,[status(thm)],[38438, 161])).
% 17.59/12.83 tff(38440,plain,
% 17.59/12.83 ((~![VarNext: $i] : (v157(VarNext) <=> v193(VarNext))) | (v157(constB120) <=> v193(constB120))),
% 17.59/12.83 inference(quant_inst,[status(thm)],[])).
% 17.59/12.83 tff(38441,plain,
% 17.59/12.83 (v157(constB120) <=> v193(constB120)),
% 17.59/12.83 inference(unit_resolution,[status(thm)],[38440, 13])).
% 17.59/12.83 tff(38442,plain,
% 17.59/12.83 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v193(VarNext) <=> v191(VarCurr)))) | ((~nextState(constB119, constB120)) | (v193(constB120) <=> v191(constB119)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v193(VarNext) <=> v191(VarCurr)))) | (~nextState(constB119, constB120)) | (v193(constB120) <=> v191(constB119)))),
% 17.59/12.83 inference(rewrite,[status(thm)],[])).
% 17.59/12.83 tff(38443,plain,
% 17.59/12.83 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v193(VarNext) <=> v191(VarCurr)))) | ((~nextState(constB119, constB120)) | (v193(constB120) <=> v191(constB119)))),
% 17.59/12.83 inference(quant_inst,[status(thm)],[])).
% 17.59/12.83 tff(38444,plain,
% 17.59/12.83 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v193(VarNext) <=> v191(VarCurr)))) | (~nextState(constB119, constB120)) | (v193(constB120) <=> v191(constB119))),
% 17.59/12.83 inference(modus_ponens,[status(thm)],[38443, 38442])).
% 17.59/12.83 tff(38445,plain,
% 17.59/12.83 (v193(constB120) <=> v191(constB119)),
% 17.59/12.83 inference(unit_resolution,[status(thm)],[38444, 14947, 70])).
% 17.59/12.83 tff(38446,plain,
% 17.59/12.83 ((~![VarCurr: $i] : (v191(VarCurr) <=> (v194(VarCurr) | v198(VarCurr)))) | (v191(constB119) <=> (v194(constB119) | v198(constB119)))),
% 17.59/12.83 inference(quant_inst,[status(thm)],[])).
% 17.59/12.83 tff(38447,plain,
% 17.59/12.83 (v191(constB119) <=> (v194(constB119) | v198(constB119))),
% 17.59/12.83 inference(unit_resolution,[status(thm)],[38446, 84])).
% 17.59/12.83 tff(38448,plain,
% 17.59/12.83 (((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB119) <=> (~((~v157(constB119)) | (~v195(constB119)))))) <=> ((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB119) <=> (~((~v157(constB119)) | (~v195(constB119))))))),
% 17.59/12.83 inference(rewrite,[status(thm)],[])).
% 17.59/12.83 tff(38449,plain,
% 17.59/12.83 ((v194(constB119) <=> (~((~v195(constB119)) | (~v157(constB119))))) <=> (v194(constB119) <=> (~((~v157(constB119)) | (~v195(constB119)))))),
% 17.59/12.83 inference(rewrite,[status(thm)],[])).
% 17.59/12.83 tff(38450,plain,
% 17.59/12.83 (((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB119) <=> (~((~v195(constB119)) | (~v157(constB119)))))) <=> ((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB119) <=> (~((~v157(constB119)) | (~v195(constB119))))))),
% 17.59/12.83 inference(monotonicity,[status(thm)],[38449])).
% 17.59/12.83 tff(38451,plain,
% 17.59/12.83 (((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB119) <=> (~((~v195(constB119)) | (~v157(constB119)))))) <=> ((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB119) <=> (~((~v157(constB119)) | (~v195(constB119))))))),
% 17.59/12.83 inference(transitivity,[status(thm)],[38450, 38448])).
% 17.59/12.83 tff(38452,plain,
% 17.59/12.83 ((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB119) <=> (~((~v195(constB119)) | (~v157(constB119)))))),
% 17.59/12.83 inference(quant_inst,[status(thm)],[])).
% 17.59/12.83 tff(38453,plain,
% 17.59/12.83 ((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB119) <=> (~((~v157(constB119)) | (~v195(constB119)))))),
% 17.59/12.83 inference(modus_ponens,[status(thm)],[38452, 38451])).
% 17.59/12.83 tff(38454,plain,
% 17.59/12.83 (v194(constB119) <=> (~((~v157(constB119)) | (~v195(constB119))))),
% 17.59/12.83 inference(unit_resolution,[status(thm)],[38453, 161])).
% 17.59/12.83 tff(38455,plain,
% 17.59/12.83 ((~![VarCurr: $i] : ((~v195(VarCurr)) <=> v196(VarCurr))) | ((~v195(constB119)) <=> v196(constB119))),
% 17.59/12.83 inference(quant_inst,[status(thm)],[])).
% 17.59/12.83 tff(38456,plain,
% 17.59/12.83 ((~v195(constB119)) <=> v196(constB119)),
% 17.59/12.83 inference(unit_resolution,[status(thm)],[38455, 193])).
% 17.59/12.83 tff(38457,plain,
% 17.59/12.83 ((~![VarCurr: $i] : (v196(VarCurr) <=> (v197(VarCurr) | v26(VarCurr)))) | (v196(constB119) <=> (v197(constB119) | v26(constB119)))),
% 17.59/12.83 inference(quant_inst,[status(thm)],[])).
% 17.59/12.83 tff(38458,plain,
% 17.59/12.83 (v196(constB119) <=> (v197(constB119) | v26(constB119))),
% 17.59/12.83 inference(unit_resolution,[status(thm)],[38457, 202])).
% 17.59/12.83 tff(38459,plain,
% 17.59/12.83 ((~![VarCurr: $i] : (v197(VarCurr) <=> (~((~v39(VarCurr)) | (~v9(VarCurr)))))) | (v197(constB119) <=> (~((~v39(constB119)) | (~v9(constB119)))))),
% 17.59/12.83 inference(quant_inst,[status(thm)],[])).
% 17.59/12.83 tff(38460,plain,
% 17.59/12.83 (v197(constB119) <=> (~((~v39(constB119)) | (~v9(constB119))))),
% 17.59/12.83 inference(unit_resolution,[status(thm)],[38459, 120])).
% 17.59/12.83 tff(38461,plain,
% 17.59/12.83 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | ((~nextState(constB119, constB120)) | (v13(constB120) <=> v9(constB119)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | (~nextState(constB119, constB120)) | (v13(constB120) <=> v9(constB119)))),
% 17.59/12.83 inference(rewrite,[status(thm)],[])).
% 17.59/12.83 tff(38462,plain,
% 17.59/12.83 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | ((~nextState(constB119, constB120)) | (v13(constB120) <=> v9(constB119)))),
% 17.59/12.83 inference(quant_inst,[status(thm)],[])).
% 17.59/12.83 tff(38463,plain,
% 17.59/12.83 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | (~nextState(constB119, constB120)) | (v13(constB120) <=> v9(constB119))),
% 17.59/12.83 inference(modus_ponens,[status(thm)],[38462, 38461])).
% 17.59/12.83 tff(38464,plain,
% 17.59/12.83 (v13(constB120) <=> v9(constB119)),
% 17.59/12.83 inference(unit_resolution,[status(thm)],[38463, 14947, 216])).
% 17.59/12.83 tff(38465,plain,
% 17.59/12.83 ((~![VarNext: $i] : (v6(VarNext) <=> v13(VarNext))) | (v6(constB120) <=> v13(constB120))),
% 17.59/12.83 inference(quant_inst,[status(thm)],[])).
% 17.59/12.83 tff(38466,plain,
% 17.59/12.83 (v6(constB120) <=> v13(constB120)),
% 17.59/12.83 inference(unit_resolution,[status(thm)],[38465, 230])).
% 17.59/12.83 tff(38467,plain,
% 17.59/12.83 ((~![VarCurr: $i] : ((~v21(VarCurr)) <=> v6(VarCurr))) | ((~v21(constB120)) <=> v6(constB120))),
% 17.59/12.83 inference(quant_inst,[status(thm)],[])).
% 17.59/12.83 tff(38468,plain,
% 17.59/12.83 ((~v21(constB120)) <=> v6(constB120)),
% 17.59/12.83 inference(unit_resolution,[status(thm)],[38467, 239])).
% 17.59/12.83 tff(38469,plain,
% 17.59/12.83 ((~![VarCurr: $i] : (v19(VarCurr) <=> (v20(VarCurr) | v21(VarCurr)))) | (v19(constB120) <=> (v20(constB120) | v21(constB120)))),
% 17.59/12.83 inference(quant_inst,[status(thm)],[])).
% 17.59/12.83 tff(38470,plain,
% 17.59/12.83 (v19(constB120) <=> (v20(constB120) | v21(constB120))),
% 17.59/12.83 inference(unit_resolution,[status(thm)],[38469, 248])).
% 17.59/12.83 tff(38471,plain,
% 17.59/12.83 ((~![VarCurr: $i] : (v18(VarCurr) <=> (~((~v19(VarCurr)) | (~v22(VarCurr)))))) | (v18(constB120) <=> (~((~v19(constB120)) | (~v22(constB120)))))),
% 17.59/12.83 inference(quant_inst,[status(thm)],[])).
% 17.59/12.83 tff(38472,plain,
% 17.59/12.83 (v18(constB120) <=> (~((~v19(constB120)) | (~v22(constB120))))),
% 17.59/12.83 inference(unit_resolution,[status(thm)],[38471, 260])).
% 17.59/12.83 tff(38473,plain,
% 17.59/12.83 ((~![VarCurr: $i] : ((~v4(VarCurr)) <=> v18(VarCurr))) | ((~v4(constB120)) <=> v18(constB120))),
% 17.59/12.83 inference(quant_inst,[status(thm)],[])).
% 17.59/12.83 tff(38474,plain,
% 17.59/12.83 ((~v4(constB120)) <=> v18(constB120)),
% 17.59/12.83 inference(unit_resolution,[status(thm)],[38473, 269])).
% 17.59/12.83 tff(38475,plain,
% 17.59/12.83 ((~![VarCurr: $i] : v4(VarCurr)) | v4(constB120)),
% 17.59/12.83 inference(quant_inst,[status(thm)],[])).
% 17.59/12.83 tff(38476,plain,
% 17.59/12.83 (v4(constB120)),
% 17.59/12.83 inference(unit_resolution,[status(thm)],[38475, 278])).
% 17.59/12.83 tff(38477,plain,
% 17.59/12.83 ((~((~v4(constB120)) <=> v18(constB120))) | (~v4(constB120)) | (~v18(constB120))),
% 17.59/12.83 inference(tautology,[status(thm)],[])).
% 17.59/12.83 tff(38478,plain,
% 17.59/12.83 (~v18(constB120)),
% 17.59/12.83 inference(unit_resolution,[status(thm)],[38477, 38476, 38474])).
% 17.59/12.83 tff(38479,plain,
% 17.59/12.83 ((~(v18(constB120) <=> (~((~v19(constB120)) | (~v22(constB120)))))) | v18(constB120) | ((~v19(constB120)) | (~v22(constB120)))),
% 17.59/12.83 inference(tautology,[status(thm)],[])).
% 17.59/12.83 tff(38480,plain,
% 17.59/12.83 ((~v19(constB120)) | (~v22(constB120))),
% 17.59/12.83 inference(unit_resolution,[status(thm)],[38479, 38478, 38472])).
% 17.59/12.83 tff(38481,plain,
% 17.59/12.83 ((~![VarCurr: $i] : (v22(VarCurr) <=> (v1(VarCurr) | v6(VarCurr)))) | (v22(constB120) <=> (v1(constB120) | v6(constB120)))),
% 17.59/12.83 inference(quant_inst,[status(thm)],[])).
% 17.59/12.83 tff(38482,plain,
% 17.59/12.83 (v22(constB120) <=> (v1(constB120) | v6(constB120))),
% 17.59/12.83 inference(unit_resolution,[status(thm)],[38481, 291])).
% 17.59/12.83 tff(38483,plain,
% 17.59/12.83 ((v1(constB120) | v6(constB120)) | (~v1(constB120))),
% 17.59/12.83 inference(tautology,[status(thm)],[])).
% 17.59/12.83 tff(38484,plain,
% 17.59/12.83 (v1(constB120) | v6(constB120)),
% 17.59/12.83 inference(unit_resolution,[status(thm)],[38483, 14977])).
% 17.59/12.83 tff(38485,plain,
% 17.59/12.83 ((~(v22(constB120) <=> (v1(constB120) | v6(constB120)))) | v22(constB120) | (~(v1(constB120) | v6(constB120)))),
% 17.59/12.83 inference(tautology,[status(thm)],[])).
% 17.59/12.83 tff(38486,plain,
% 17.59/12.83 ((~(v22(constB120) <=> (v1(constB120) | v6(constB120)))) | v22(constB120)),
% 17.59/12.83 inference(unit_resolution,[status(thm)],[38485, 38484])).
% 17.59/12.83 tff(38487,plain,
% 17.59/12.83 (v22(constB120)),
% 17.59/12.83 inference(unit_resolution,[status(thm)],[38486, 38482])).
% 17.59/12.83 tff(38488,plain,
% 17.59/12.83 ((~((~v19(constB120)) | (~v22(constB120)))) | (~v19(constB120)) | (~v22(constB120))),
% 17.59/12.83 inference(tautology,[status(thm)],[])).
% 17.59/12.83 tff(38489,plain,
% 17.59/12.83 ((~((~v19(constB120)) | (~v22(constB120)))) | (~v19(constB120))),
% 17.59/12.83 inference(unit_resolution,[status(thm)],[38488, 38487])).
% 17.59/12.83 tff(38490,plain,
% 17.59/12.83 (~v19(constB120)),
% 17.59/12.83 inference(unit_resolution,[status(thm)],[38489, 38480])).
% 17.59/12.83 tff(38491,plain,
% 17.59/12.83 ((~(v19(constB120) <=> (v20(constB120) | v21(constB120)))) | v19(constB120) | (~(v20(constB120) | v21(constB120)))),
% 17.59/12.83 inference(tautology,[status(thm)],[])).
% 17.59/12.83 tff(38492,plain,
% 17.59/12.83 (~(v20(constB120) | v21(constB120))),
% 17.59/12.83 inference(unit_resolution,[status(thm)],[38491, 38490, 38470])).
% 17.59/12.83 tff(38493,plain,
% 17.59/12.83 ((v20(constB120) | v21(constB120)) | (~v21(constB120))),
% 17.59/12.83 inference(tautology,[status(thm)],[])).
% 17.59/12.83 tff(38494,plain,
% 17.59/12.83 (~v21(constB120)),
% 17.59/12.83 inference(unit_resolution,[status(thm)],[38493, 38492])).
% 17.59/12.83 tff(38495,plain,
% 17.59/12.83 ((~((~v21(constB120)) <=> v6(constB120))) | v21(constB120) | v6(constB120)),
% 17.59/12.83 inference(tautology,[status(thm)],[])).
% 17.59/12.83 tff(38496,plain,
% 17.59/12.83 (v6(constB120)),
% 17.59/12.83 inference(unit_resolution,[status(thm)],[38495, 38494, 38468])).
% 17.59/12.83 tff(38497,plain,
% 17.59/12.83 ((~(v6(constB120) <=> v13(constB120))) | (~v6(constB120)) | v13(constB120)),
% 17.59/12.83 inference(tautology,[status(thm)],[])).
% 17.59/12.83 tff(38498,plain,
% 17.59/12.83 (v13(constB120)),
% 17.59/12.83 inference(unit_resolution,[status(thm)],[38497, 38496, 38466])).
% 17.59/12.83 tff(38499,plain,
% 17.59/12.83 ((~(v13(constB120) <=> v9(constB119))) | (~v13(constB120)) | v9(constB119)),
% 17.59/12.83 inference(tautology,[status(thm)],[])).
% 17.59/12.83 tff(38500,plain,
% 17.59/12.83 (v9(constB119)),
% 17.59/12.83 inference(unit_resolution,[status(thm)],[38499, 38498, 38464])).
% 17.59/12.83 tff(38501,plain,
% 17.59/12.83 ((~![VarCurr: $i] : ((~v39(VarCurr)) <=> v1(VarCurr))) | ((~v39(constB119)) <=> v1(constB119))),
% 17.59/12.83 inference(quant_inst,[status(thm)],[])).
% 17.59/12.83 tff(38502,plain,
% 17.59/12.83 ((~v39(constB119)) <=> v1(constB119)),
% 17.59/12.83 inference(unit_resolution,[status(thm)],[38501, 129])).
% 17.59/12.83 tff(38503,plain,
% 17.59/12.83 ((~((~v39(constB119)) <=> v1(constB119))) | v39(constB119) | v1(constB119)),
% 17.59/12.83 inference(tautology,[status(thm)],[])).
% 17.59/12.83 tff(38504,plain,
% 17.59/12.83 ((~((~v39(constB119)) <=> v1(constB119))) | v39(constB119)),
% 17.59/12.83 inference(unit_resolution,[status(thm)],[38503, 14969])).
% 17.59/12.83 tff(38505,plain,
% 17.59/12.83 (v39(constB119)),
% 17.59/12.83 inference(unit_resolution,[status(thm)],[38504, 38502])).
% 17.59/12.83 tff(38506,plain,
% 17.59/12.83 ((~((~v39(constB119)) | (~v9(constB119)))) | (~v39(constB119)) | (~v9(constB119))),
% 17.59/12.83 inference(tautology,[status(thm)],[])).
% 17.59/12.83 tff(38507,plain,
% 17.59/12.83 ((~((~v39(constB119)) | (~v9(constB119)))) | (~v9(constB119))),
% 17.59/12.83 inference(unit_resolution,[status(thm)],[38506, 38505])).
% 17.59/12.83 tff(38508,plain,
% 17.59/12.83 (~((~v39(constB119)) | (~v9(constB119)))),
% 17.59/12.83 inference(unit_resolution,[status(thm)],[38507, 38500])).
% 17.59/12.83 tff(38509,plain,
% 17.59/12.83 ((~(v197(constB119) <=> (~((~v39(constB119)) | (~v9(constB119)))))) | v197(constB119) | ((~v39(constB119)) | (~v9(constB119)))),
% 17.59/12.83 inference(tautology,[status(thm)],[])).
% 17.59/12.83 tff(38510,plain,
% 17.59/12.83 (v197(constB119)),
% 17.59/12.83 inference(unit_resolution,[status(thm)],[38509, 38508, 38460])).
% 17.59/12.83 tff(38511,plain,
% 17.59/12.83 ((v197(constB119) | v26(constB119)) | (~v197(constB119))),
% 17.59/12.83 inference(tautology,[status(thm)],[])).
% 17.59/12.83 tff(38512,plain,
% 17.59/12.83 (v197(constB119) | v26(constB119)),
% 17.59/12.83 inference(unit_resolution,[status(thm)],[38511, 38510])).
% 17.59/12.83 tff(38513,plain,
% 17.59/12.83 ((~(v196(constB119) <=> (v197(constB119) | v26(constB119)))) | v196(constB119) | (~(v197(constB119) | v26(constB119)))),
% 17.59/12.83 inference(tautology,[status(thm)],[])).
% 17.59/12.83 tff(38514,plain,
% 17.59/12.83 (v196(constB119)),
% 17.59/12.83 inference(unit_resolution,[status(thm)],[38513, 38512, 38458])).
% 17.59/12.83 tff(38515,plain,
% 17.59/12.83 ((~((~v195(constB119)) <=> v196(constB119))) | (~v195(constB119)) | (~v196(constB119))),
% 17.59/12.83 inference(tautology,[status(thm)],[])).
% 17.59/12.83 tff(38516,plain,
% 17.59/12.83 (~v195(constB119)),
% 17.59/12.83 inference(unit_resolution,[status(thm)],[38515, 38514, 38456])).
% 17.59/12.83 tff(38517,plain,
% 17.59/12.83 (((~v157(constB119)) | (~v195(constB119))) | v195(constB119)),
% 17.59/12.83 inference(tautology,[status(thm)],[])).
% 17.59/12.83 tff(38518,plain,
% 17.59/12.83 ((~v157(constB119)) | (~v195(constB119))),
% 17.59/12.83 inference(unit_resolution,[status(thm)],[38517, 38516])).
% 17.59/12.83 tff(38519,plain,
% 17.59/12.83 ((~(v194(constB119) <=> (~((~v157(constB119)) | (~v195(constB119)))))) | (~v194(constB119)) | (~((~v157(constB119)) | (~v195(constB119))))),
% 17.59/12.83 inference(tautology,[status(thm)],[])).
% 17.59/12.83 tff(38520,plain,
% 17.59/12.83 (~v194(constB119)),
% 17.59/12.83 inference(unit_resolution,[status(thm)],[38519, 38518, 38454])).
% 17.59/12.83 tff(38521,plain,
% 17.59/12.83 ((~![VarCurr: $i] : (v198(VarCurr) <=> (~((~v199(VarCurr)) | (~v200(VarCurr)))))) | (v198(constB119) <=> (~((~v199(constB119)) | (~v200(constB119)))))),
% 17.59/12.83 inference(quant_inst,[status(thm)],[])).
% 17.59/12.83 tff(38522,plain,
% 17.59/12.83 (v198(constB119) <=> (~((~v199(constB119)) | (~v200(constB119))))),
% 17.59/12.83 inference(unit_resolution,[status(thm)],[38521, 96])).
% 17.59/12.83 tff(38523,plain,
% 17.59/12.83 ((~![VarCurr: $i] : (v200(VarCurr) <=> (~((~v197(VarCurr)) | (~v201(VarCurr)))))) | (v200(constB119) <=> (~((~v197(constB119)) | (~v201(constB119)))))),
% 17.59/12.83 inference(quant_inst,[status(thm)],[])).
% 17.59/12.83 tff(38524,plain,
% 17.59/12.83 (v200(constB119) <=> (~((~v197(constB119)) | (~v201(constB119))))),
% 17.59/12.83 inference(unit_resolution,[status(thm)],[38523, 108])).
% 17.59/12.83 tff(38525,plain,
% 17.59/12.83 ((~![VarCurr: $i] : (v201(VarCurr) <=> (~((~v159(VarCurr)) | (~v161(VarCurr)))))) | (v201(constB119) <=> (~((~v159(constB119)) | (~v161(constB119)))))),
% 17.59/12.83 inference(quant_inst,[status(thm)],[])).
% 17.59/12.83 tff(38526,plain,
% 17.59/12.83 (v201(constB119) <=> (~((~v159(constB119)) | (~v161(constB119))))),
% 17.59/12.83 inference(unit_resolution,[status(thm)],[38525, 348])).
% 17.59/12.83 tff(38527,plain,
% 17.59/12.83 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v179(VarNext) <=> v180(VarNext)))) | ((~nextState(constB118, constB119)) | (v179(constB119) <=> v180(constB119)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v179(VarNext) <=> v180(VarNext)))) | (~nextState(constB118, constB119)) | (v179(constB119) <=> v180(constB119)))),
% 17.59/12.83 inference(rewrite,[status(thm)],[])).
% 17.59/12.83 tff(38528,plain,
% 17.59/12.83 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v179(VarNext) <=> v180(VarNext)))) | ((~nextState(constB118, constB119)) | (v179(constB119) <=> v180(constB119)))),
% 17.59/12.83 inference(quant_inst,[status(thm)],[])).
% 17.59/12.83 tff(38529,plain,
% 17.59/12.83 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v179(VarNext) <=> v180(VarNext)))) | (~nextState(constB118, constB119)) | (v179(constB119) <=> v180(constB119))),
% 17.59/12.83 inference(modus_ponens,[status(thm)],[38528, 38527])).
% 17.59/12.83 tff(38530,plain,
% 17.59/12.83 (v179(constB119) <=> v180(constB119)),
% 17.59/12.83 inference(unit_resolution,[status(thm)],[38529, 15010, 13536])).
% 17.59/12.83 tff(38531,plain,
% 17.59/12.83 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> (~((~v181(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB118, constB119)) | (v180(constB119) <=> (~((~v1(constB119)) | (~v181(constB119))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> (~((~v181(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB118, constB119)) | (v180(constB119) <=> (~((~v1(constB119)) | (~v181(constB119))))))),
% 17.59/12.83 inference(rewrite,[status(thm)],[])).
% 17.59/12.83 tff(38532,plain,
% 17.59/12.83 (((~nextState(constB118, constB119)) | (v180(constB119) <=> (~((~v181(constB119)) | (~v1(constB119)))))) <=> ((~nextState(constB118, constB119)) | (v180(constB119) <=> (~((~v1(constB119)) | (~v181(constB119))))))),
% 17.59/12.83 inference(rewrite,[status(thm)],[])).
% 17.59/12.83 tff(38533,plain,
% 17.59/12.83 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> (~((~v181(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB118, constB119)) | (v180(constB119) <=> (~((~v181(constB119)) | (~v1(constB119))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> (~((~v181(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB118, constB119)) | (v180(constB119) <=> (~((~v1(constB119)) | (~v181(constB119)))))))),
% 17.59/12.83 inference(monotonicity,[status(thm)],[38532])).
% 17.59/12.83 tff(38534,plain,
% 17.59/12.83 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> (~((~v181(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB118, constB119)) | (v180(constB119) <=> (~((~v181(constB119)) | (~v1(constB119))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> (~((~v181(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB118, constB119)) | (v180(constB119) <=> (~((~v1(constB119)) | (~v181(constB119))))))),
% 17.59/12.83 inference(transitivity,[status(thm)],[38533, 38531])).
% 17.59/12.83 tff(38535,plain,
% 17.59/12.83 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> (~((~v181(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB118, constB119)) | (v180(constB119) <=> (~((~v181(constB119)) | (~v1(constB119))))))),
% 17.59/12.83 inference(quant_inst,[status(thm)],[])).
% 17.59/12.83 tff(38536,plain,
% 17.59/12.83 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> (~((~v181(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB118, constB119)) | (v180(constB119) <=> (~((~v1(constB119)) | (~v181(constB119)))))),
% 17.59/12.83 inference(modus_ponens,[status(thm)],[38535, 38534])).
% 17.59/12.83 tff(38537,plain,
% 17.59/12.83 (v180(constB119) <=> (~((~v1(constB119)) | (~v181(constB119))))),
% 17.59/12.83 inference(unit_resolution,[status(thm)],[38536, 15010, 13556])).
% 17.59/12.83 tff(38538,plain,
% 17.59/12.83 (((~v1(constB119)) | (~v181(constB119))) | v1(constB119)),
% 17.59/12.83 inference(tautology,[status(thm)],[])).
% 17.59/12.83 tff(38539,plain,
% 17.59/12.83 ((~v1(constB119)) | (~v181(constB119))),
% 17.59/12.84 inference(unit_resolution,[status(thm)],[38538, 14969])).
% 17.59/12.84 tff(38540,plain,
% 17.59/12.84 ((~(v180(constB119) <=> (~((~v1(constB119)) | (~v181(constB119)))))) | (~v180(constB119)) | (~((~v1(constB119)) | (~v181(constB119))))),
% 17.59/12.84 inference(tautology,[status(thm)],[])).
% 17.59/12.84 tff(38541,plain,
% 17.59/12.84 ((~(v180(constB119) <=> (~((~v1(constB119)) | (~v181(constB119)))))) | (~v180(constB119))),
% 17.59/12.84 inference(unit_resolution,[status(thm)],[38540, 38539])).
% 17.59/12.84 tff(38542,plain,
% 17.59/12.84 (~v180(constB119)),
% 17.59/12.84 inference(unit_resolution,[status(thm)],[38541, 38537])).
% 17.59/12.84 tff(38543,plain,
% 17.59/12.84 ((~(v179(constB119) <=> v180(constB119))) | (~v179(constB119)) | v180(constB119)),
% 17.59/12.84 inference(tautology,[status(thm)],[])).
% 17.59/12.84 tff(38544,plain,
% 17.59/12.84 (~v179(constB119)),
% 17.59/12.84 inference(unit_resolution,[status(thm)],[38543, 38542, 38530])).
% 17.59/12.84 tff(38545,plain,
% 17.59/12.84 (((~![VarCurr: $i, VarNext: $i] : ((v159(VarNext) <=> v159(VarCurr)) | v179(VarNext) | (~nextState(VarCurr, VarNext)))) | ((~nextState(constB118, constB119)) | v179(constB119) | (v159(constB119) <=> v159(constB118)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((v159(VarNext) <=> v159(VarCurr)) | v179(VarNext) | (~nextState(VarCurr, VarNext)))) | (~nextState(constB118, constB119)) | v179(constB119) | (v159(constB119) <=> v159(constB118)))),
% 17.59/12.84 inference(rewrite,[status(thm)],[])).
% 17.59/12.84 tff(38546,plain,
% 17.59/12.84 (((v159(constB119) <=> v159(constB118)) | v179(constB119) | (~nextState(constB118, constB119))) <=> ((~nextState(constB118, constB119)) | v179(constB119) | (v159(constB119) <=> v159(constB118)))),
% 17.59/12.84 inference(rewrite,[status(thm)],[])).
% 17.59/12.84 tff(38547,plain,
% 17.59/12.84 (((~![VarCurr: $i, VarNext: $i] : ((v159(VarNext) <=> v159(VarCurr)) | v179(VarNext) | (~nextState(VarCurr, VarNext)))) | ((v159(constB119) <=> v159(constB118)) | v179(constB119) | (~nextState(constB118, constB119)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((v159(VarNext) <=> v159(VarCurr)) | v179(VarNext) | (~nextState(VarCurr, VarNext)))) | ((~nextState(constB118, constB119)) | v179(constB119) | (v159(constB119) <=> v159(constB118))))),
% 17.59/12.84 inference(monotonicity,[status(thm)],[38546])).
% 17.59/12.84 tff(38548,plain,
% 17.59/12.84 (((~![VarCurr: $i, VarNext: $i] : ((v159(VarNext) <=> v159(VarCurr)) | v179(VarNext) | (~nextState(VarCurr, VarNext)))) | ((v159(constB119) <=> v159(constB118)) | v179(constB119) | (~nextState(constB118, constB119)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((v159(VarNext) <=> v159(VarCurr)) | v179(VarNext) | (~nextState(VarCurr, VarNext)))) | (~nextState(constB118, constB119)) | v179(constB119) | (v159(constB119) <=> v159(constB118)))),
% 17.59/12.84 inference(transitivity,[status(thm)],[38547, 38545])).
% 17.59/12.84 tff(38549,plain,
% 17.59/12.84 ((~![VarCurr: $i, VarNext: $i] : ((v159(VarNext) <=> v159(VarCurr)) | v179(VarNext) | (~nextState(VarCurr, VarNext)))) | ((v159(constB119) <=> v159(constB118)) | v179(constB119) | (~nextState(constB118, constB119)))),
% 17.59/12.84 inference(quant_inst,[status(thm)],[])).
% 17.59/12.84 tff(38550,plain,
% 17.59/12.84 ((~![VarCurr: $i, VarNext: $i] : ((v159(VarNext) <=> v159(VarCurr)) | v179(VarNext) | (~nextState(VarCurr, VarNext)))) | (~nextState(constB118, constB119)) | v179(constB119) | (v159(constB119) <=> v159(constB118))),
% 17.59/12.84 inference(modus_ponens,[status(thm)],[38549, 38548])).
% 17.59/12.84 tff(38551,plain,
% 17.59/12.84 (v179(constB119) | (v159(constB119) <=> v159(constB118))),
% 17.59/12.84 inference(unit_resolution,[status(thm)],[38550, 15010, 13580])).
% 17.59/12.84 tff(38552,plain,
% 17.59/12.84 (v159(constB119) <=> v159(constB118)),
% 17.59/12.84 inference(unit_resolution,[status(thm)],[38551, 38544])).
% 17.59/12.84 tff(38553,plain,
% 17.59/12.84 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v179(VarNext) <=> v180(VarNext)))) | ((~nextState(constB117, constB118)) | (v179(constB118) <=> v180(constB118)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v179(VarNext) <=> v180(VarNext)))) | (~nextState(constB117, constB118)) | (v179(constB118) <=> v180(constB118)))),
% 17.59/12.84 inference(rewrite,[status(thm)],[])).
% 17.59/12.84 tff(38554,plain,
% 17.59/12.84 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v179(VarNext) <=> v180(VarNext)))) | ((~nextState(constB117, constB118)) | (v179(constB118) <=> v180(constB118)))),
% 17.59/12.84 inference(quant_inst,[status(thm)],[])).
% 17.59/12.84 tff(38555,plain,
% 17.59/12.84 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v179(VarNext) <=> v180(VarNext)))) | (~nextState(constB117, constB118)) | (v179(constB118) <=> v180(constB118))),
% 17.59/12.84 inference(modus_ponens,[status(thm)],[38554, 38553])).
% 17.59/12.84 tff(38556,plain,
% 17.59/12.84 (v179(constB118) <=> v180(constB118)),
% 17.59/12.84 inference(unit_resolution,[status(thm)],[38555, 15042, 13536])).
% 17.59/12.84 tff(38557,plain,
% 17.59/12.84 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> (~((~v181(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB117, constB118)) | (v180(constB118) <=> (~((~v1(constB118)) | (~v181(constB118))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> (~((~v181(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB117, constB118)) | (v180(constB118) <=> (~((~v1(constB118)) | (~v181(constB118))))))),
% 17.59/12.84 inference(rewrite,[status(thm)],[])).
% 17.59/12.84 tff(38558,plain,
% 17.59/12.84 (((~nextState(constB117, constB118)) | (v180(constB118) <=> (~((~v181(constB118)) | (~v1(constB118)))))) <=> ((~nextState(constB117, constB118)) | (v180(constB118) <=> (~((~v1(constB118)) | (~v181(constB118))))))),
% 17.59/12.84 inference(rewrite,[status(thm)],[])).
% 17.59/12.84 tff(38559,plain,
% 17.59/12.84 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> (~((~v181(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB117, constB118)) | (v180(constB118) <=> (~((~v181(constB118)) | (~v1(constB118))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> (~((~v181(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB117, constB118)) | (v180(constB118) <=> (~((~v1(constB118)) | (~v181(constB118)))))))),
% 17.59/12.84 inference(monotonicity,[status(thm)],[38558])).
% 17.59/12.84 tff(38560,plain,
% 17.59/12.84 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> (~((~v181(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB117, constB118)) | (v180(constB118) <=> (~((~v181(constB118)) | (~v1(constB118))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> (~((~v181(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB117, constB118)) | (v180(constB118) <=> (~((~v1(constB118)) | (~v181(constB118))))))),
% 17.59/12.84 inference(transitivity,[status(thm)],[38559, 38557])).
% 17.59/12.84 tff(38561,plain,
% 17.59/12.84 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> (~((~v181(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB117, constB118)) | (v180(constB118) <=> (~((~v181(constB118)) | (~v1(constB118))))))),
% 17.59/12.84 inference(quant_inst,[status(thm)],[])).
% 17.59/12.84 tff(38562,plain,
% 17.59/12.84 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> (~((~v181(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB117, constB118)) | (v180(constB118) <=> (~((~v1(constB118)) | (~v181(constB118)))))),
% 17.59/12.84 inference(modus_ponens,[status(thm)],[38561, 38560])).
% 17.59/12.84 tff(38563,plain,
% 17.59/12.84 (v180(constB118) <=> (~((~v1(constB118)) | (~v181(constB118))))),
% 17.59/12.84 inference(unit_resolution,[status(thm)],[38562, 15042, 13556])).
% 17.59/12.84 tff(38564,plain,
% 17.59/12.84 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v181(VarNext)) <=> v104(VarNext)))) | ((~nextState(constB117, constB118)) | ((~v181(constB118)) <=> v104(constB118)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v181(VarNext)) <=> v104(VarNext)))) | (~nextState(constB117, constB118)) | ((~v181(constB118)) <=> v104(constB118)))),
% 17.59/12.84 inference(rewrite,[status(thm)],[])).
% 17.59/12.84 tff(38565,plain,
% 17.59/12.84 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v181(VarNext)) <=> v104(VarNext)))) | ((~nextState(constB117, constB118)) | ((~v181(constB118)) <=> v104(constB118)))),
% 17.59/12.84 inference(quant_inst,[status(thm)],[])).
% 17.59/12.84 tff(38566,plain,
% 17.59/12.84 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v181(VarNext)) <=> v104(VarNext)))) | (~nextState(constB117, constB118)) | ((~v181(constB118)) <=> v104(constB118))),
% 17.59/12.84 inference(modus_ponens,[status(thm)],[38565, 38564])).
% 17.59/12.84 tff(38567,plain,
% 17.59/12.84 ((~v181(constB118)) <=> v104(constB118)),
% 17.59/12.84 inference(unit_resolution,[status(thm)],[38566, 15042, 13612])).
% 17.59/12.84 tff(38568,plain,
% 17.59/12.84 ((~((~v181(constB118)) <=> v104(constB118))) | v181(constB118) | v104(constB118)),
% 17.59/12.84 inference(tautology,[status(thm)],[])).
% 17.59/12.84 tff(38569,plain,
% 17.59/12.84 (v181(constB118)),
% 17.59/12.84 inference(unit_resolution,[status(thm)],[38568, 15067, 38567])).
% 17.59/12.84 tff(38570,plain,
% 17.59/12.84 ((~((~v1(constB118)) | (~v181(constB118)))) | (~v1(constB118)) | (~v181(constB118))),
% 17.59/12.84 inference(tautology,[status(thm)],[])).
% 17.59/12.84 tff(38571,plain,
% 17.59/12.84 ((~((~v1(constB118)) | (~v181(constB118)))) | (~v181(constB118))),
% 17.59/12.84 inference(unit_resolution,[status(thm)],[38570, 15072])).
% 17.59/12.84 tff(38572,plain,
% 17.59/12.84 (~((~v1(constB118)) | (~v181(constB118)))),
% 17.59/12.84 inference(unit_resolution,[status(thm)],[38571, 38569])).
% 17.59/12.84 tff(38573,plain,
% 17.59/12.84 ((~(v180(constB118) <=> (~((~v1(constB118)) | (~v181(constB118)))))) | v180(constB118) | ((~v1(constB118)) | (~v181(constB118)))),
% 17.59/12.84 inference(tautology,[status(thm)],[])).
% 17.59/12.84 tff(38574,plain,
% 17.59/12.84 (v180(constB118)),
% 17.59/12.84 inference(unit_resolution,[status(thm)],[38573, 38572, 38563])).
% 17.59/12.84 tff(38575,plain,
% 17.59/12.84 ((~(v179(constB118) <=> v180(constB118))) | v179(constB118) | (~v180(constB118))),
% 17.59/12.84 inference(tautology,[status(thm)],[])).
% 17.59/12.84 tff(38576,plain,
% 17.59/12.84 (v179(constB118)),
% 17.59/12.84 inference(unit_resolution,[status(thm)],[38575, 38574, 38556])).
% 17.59/12.84 tff(38577,plain,
% 17.59/12.84 (((~![VarNext: $i] : ((~v179(VarNext)) | (v159(VarNext) <=> v186(VarNext)))) | ((~v179(constB118)) | (v159(constB118) <=> v186(constB118)))) <=> ((~![VarNext: $i] : ((~v179(VarNext)) | (v159(VarNext) <=> v186(VarNext)))) | (~v179(constB118)) | (v159(constB118) <=> v186(constB118)))),
% 17.59/12.84 inference(rewrite,[status(thm)],[])).
% 17.59/12.84 tff(38578,plain,
% 17.59/12.84 ((~![VarNext: $i] : ((~v179(VarNext)) | (v159(VarNext) <=> v186(VarNext)))) | ((~v179(constB118)) | (v159(constB118) <=> v186(constB118)))),
% 17.59/12.84 inference(quant_inst,[status(thm)],[])).
% 17.59/12.84 tff(38579,plain,
% 17.59/12.84 ((~![VarNext: $i] : ((~v179(VarNext)) | (v159(VarNext) <=> v186(VarNext)))) | (~v179(constB118)) | (v159(constB118) <=> v186(constB118))),
% 17.59/12.84 inference(modus_ponens,[status(thm)],[38578, 38577])).
% 17.59/12.84 tff(38580,plain,
% 17.59/12.84 (v159(constB118) <=> v186(constB118)),
% 17.59/12.84 inference(unit_resolution,[status(thm)],[38579, 13648, 38576])).
% 17.59/12.84 tff(38581,plain,
% 17.59/12.84 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v186(VarNext) <=> v161(VarCurr)))) | ((~nextState(constB117, constB118)) | (v186(constB118) <=> v161(constB117)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v186(VarNext) <=> v161(VarCurr)))) | (~nextState(constB117, constB118)) | (v186(constB118) <=> v161(constB117)))),
% 17.59/12.84 inference(rewrite,[status(thm)],[])).
% 17.59/12.84 tff(38582,plain,
% 17.59/12.84 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v186(VarNext) <=> v161(VarCurr)))) | ((~nextState(constB117, constB118)) | (v186(constB118) <=> v161(constB117)))),
% 17.59/12.84 inference(quant_inst,[status(thm)],[])).
% 17.59/12.84 tff(38583,plain,
% 17.59/12.84 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v186(VarNext) <=> v161(VarCurr)))) | (~nextState(constB117, constB118)) | (v186(constB118) <=> v161(constB117))),
% 17.59/12.84 inference(modus_ponens,[status(thm)],[38582, 38581])).
% 17.59/12.84 tff(38584,plain,
% 17.59/12.84 (v186(constB118) <=> v161(constB117)),
% 17.59/12.84 inference(unit_resolution,[status(thm)],[38583, 15042, 13662])).
% 17.59/12.84 tff(38585,plain,
% 17.59/12.84 ((~![VarCurr: $i] : (v161(VarCurr) <=> v163(VarCurr))) | (v161(constB117) <=> v163(constB117))),
% 17.59/12.84 inference(quant_inst,[status(thm)],[])).
% 17.59/12.84 tff(38586,plain,
% 17.59/12.84 (v161(constB117) <=> v163(constB117)),
% 17.59/12.84 inference(unit_resolution,[status(thm)],[38585, 357])).
% 17.59/12.84 tff(38587,plain,
% 17.59/12.84 ((~![VarCurr: $i] : (v171(VarCurr) <=> (v142(VarCurr) | v150(VarCurr)))) | (v171(constB117) <=> (v142(constB117) | v150(constB117)))),
% 17.59/12.84 inference(quant_inst,[status(thm)],[])).
% 17.59/12.84 tff(38588,plain,
% 17.59/12.84 (v171(constB117) <=> (v142(constB117) | v150(constB117))),
% 17.59/12.84 inference(unit_resolution,[status(thm)],[38587, 369])).
% 17.59/12.84 tff(38589,plain,
% 17.59/12.84 ((~![VarCurr: $i] : (v150(VarCurr) <=> (v141(VarCurr) | v151(VarCurr)))) | (v150(constB117) <=> (v141(constB117) | v151(constB117)))),
% 17.59/12.84 inference(quant_inst,[status(thm)],[])).
% 17.59/12.84 tff(38590,plain,
% 17.59/12.84 (v150(constB117) <=> (v141(constB117) | v151(constB117))),
% 17.59/12.84 inference(unit_resolution,[status(thm)],[38589, 13680])).
% 17.59/12.84 tff(38591,plain,
% 17.59/12.84 ((~![VarCurr: $i] : (v151(VarCurr) <=> (v139(VarCurr) | v140(VarCurr)))) | (v151(constB117) <=> (v139(constB117) | v140(constB117)))),
% 17.59/12.84 inference(quant_inst,[status(thm)],[])).
% 17.59/12.84 tff(38592,plain,
% 17.59/12.84 (v151(constB117) <=> (v139(constB117) | v140(constB117))),
% 17.59/12.84 inference(unit_resolution,[status(thm)],[38591, 13689])).
% 17.59/12.84 tff(38593,plain,
% 17.59/12.84 (((~![VarCurr: $i] : (v140(VarCurr) <=> (~(v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex0)))))) | (v140(constB117) <=> (~(v88(constB117, bitIndex2) | v88(constB117, bitIndex1) | (~v88(constB117, bitIndex0)))))) <=> ((~![VarCurr: $i] : (v140(VarCurr) <=> (~(v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex0)))))) | (v140(constB117) <=> (~(v88(constB117, bitIndex2) | v88(constB117, bitIndex1) | (~v88(constB117, bitIndex0))))))),
% 17.59/12.84 inference(rewrite,[status(thm)],[])).
% 17.59/12.84 tff(38594,plain,
% 17.59/12.84 ((v140(constB117) <=> (~(v88(constB117, bitIndex1) | v88(constB117, bitIndex2) | (~v88(constB117, bitIndex0))))) <=> (v140(constB117) <=> (~(v88(constB117, bitIndex2) | v88(constB117, bitIndex1) | (~v88(constB117, bitIndex0)))))),
% 17.59/12.84 inference(rewrite,[status(thm)],[])).
% 17.59/12.84 tff(38595,plain,
% 17.59/12.84 (((~![VarCurr: $i] : (v140(VarCurr) <=> (~(v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex0)))))) | (v140(constB117) <=> (~(v88(constB117, bitIndex1) | v88(constB117, bitIndex2) | (~v88(constB117, bitIndex0)))))) <=> ((~![VarCurr: $i] : (v140(VarCurr) <=> (~(v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex0)))))) | (v140(constB117) <=> (~(v88(constB117, bitIndex2) | v88(constB117, bitIndex1) | (~v88(constB117, bitIndex0))))))),
% 17.59/12.84 inference(monotonicity,[status(thm)],[38594])).
% 17.59/12.84 tff(38596,plain,
% 17.59/12.84 (((~![VarCurr: $i] : (v140(VarCurr) <=> (~(v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex0)))))) | (v140(constB117) <=> (~(v88(constB117, bitIndex1) | v88(constB117, bitIndex2) | (~v88(constB117, bitIndex0)))))) <=> ((~![VarCurr: $i] : (v140(VarCurr) <=> (~(v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex0)))))) | (v140(constB117) <=> (~(v88(constB117, bitIndex2) | v88(constB117, bitIndex1) | (~v88(constB117, bitIndex0))))))),
% 17.59/12.84 inference(transitivity,[status(thm)],[38595, 38593])).
% 17.59/12.84 tff(38597,plain,
% 17.59/12.84 ((~![VarCurr: $i] : (v140(VarCurr) <=> (~(v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex0)))))) | (v140(constB117) <=> (~(v88(constB117, bitIndex1) | v88(constB117, bitIndex2) | (~v88(constB117, bitIndex0)))))),
% 17.59/12.84 inference(quant_inst,[status(thm)],[])).
% 17.59/12.84 tff(38598,plain,
% 17.59/12.84 ((~![VarCurr: $i] : (v140(VarCurr) <=> (~(v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex0)))))) | (v140(constB117) <=> (~(v88(constB117, bitIndex2) | v88(constB117, bitIndex1) | (~v88(constB117, bitIndex0)))))),
% 17.59/12.84 inference(modus_ponens,[status(thm)],[38597, 38596])).
% 17.59/12.84 tff(38599,plain,
% 17.59/12.84 (v140(constB117) <=> (~(v88(constB117, bitIndex2) | v88(constB117, bitIndex1) | (~v88(constB117, bitIndex0))))),
% 17.59/12.84 inference(unit_resolution,[status(thm)],[38598, 13704])).
% 17.59/12.84 tff(38600,plain,
% 17.59/12.84 (((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | ((~less_3(bitIndex2)) | (v88(constB117, bitIndex2) <=> v90(constB117, bitIndex2)))) <=> ((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | (~less_3(bitIndex2)) | (v88(constB117, bitIndex2) <=> v90(constB117, bitIndex2)))),
% 17.59/12.84 inference(rewrite,[status(thm)],[])).
% 17.59/12.84 tff(38601,plain,
% 17.59/12.84 ((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | ((~less_3(bitIndex2)) | (v88(constB117, bitIndex2) <=> v90(constB117, bitIndex2)))),
% 17.59/12.84 inference(quant_inst,[status(thm)],[])).
% 17.59/12.84 tff(38602,plain,
% 17.59/12.84 ((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | (~less_3(bitIndex2)) | (v88(constB117, bitIndex2) <=> v90(constB117, bitIndex2))),
% 17.59/12.85 inference(modus_ponens,[status(thm)],[38601, 38600])).
% 17.59/12.85 tff(38603,plain,
% 17.59/12.85 (v88(constB117, bitIndex2) <=> v90(constB117, bitIndex2)),
% 17.59/12.85 inference(unit_resolution,[status(thm)],[38602, 413, 410])).
% 17.59/12.85 tff(38604,plain,
% 17.59/12.85 ((~(v88(constB117, bitIndex2) <=> v90(constB117, bitIndex2))) | (~v88(constB117, bitIndex2)) | v90(constB117, bitIndex2)),
% 17.59/12.85 inference(tautology,[status(thm)],[])).
% 17.59/12.85 tff(38605,plain,
% 17.59/12.85 (~v88(constB117, bitIndex2)),
% 17.59/12.85 inference(unit_resolution,[status(thm)],[38604, 17909, 38603])).
% 17.59/12.85 tff(38606,plain,
% 17.59/12.85 (((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | ((~less_3(bitIndex0)) | (v88(constB117, bitIndex0) <=> v90(constB117, bitIndex0)))) <=> ((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | (~less_3(bitIndex0)) | (v88(constB117, bitIndex0) <=> v90(constB117, bitIndex0)))),
% 17.59/12.85 inference(rewrite,[status(thm)],[])).
% 17.59/12.85 tff(38607,plain,
% 17.59/12.85 ((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | ((~less_3(bitIndex0)) | (v88(constB117, bitIndex0) <=> v90(constB117, bitIndex0)))),
% 17.59/12.85 inference(quant_inst,[status(thm)],[])).
% 17.59/12.85 tff(38608,plain,
% 17.59/12.85 ((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | (~less_3(bitIndex0)) | (v88(constB117, bitIndex0) <=> v90(constB117, bitIndex0))),
% 17.59/12.85 inference(modus_ponens,[status(thm)],[38607, 38606])).
% 17.59/12.85 tff(38609,plain,
% 17.59/12.85 (v88(constB117, bitIndex0) <=> v90(constB117, bitIndex0)),
% 17.59/12.85 inference(unit_resolution,[status(thm)],[38608, 5004, 410])).
% 17.59/12.85 tff(38610,plain,
% 17.59/12.85 ((~(v88(constB117, bitIndex0) <=> v90(constB117, bitIndex0))) | v88(constB117, bitIndex0) | (~v90(constB117, bitIndex0))),
% 17.59/12.85 inference(tautology,[status(thm)],[])).
% 17.59/12.85 tff(38611,plain,
% 17.59/12.85 (v88(constB117, bitIndex0)),
% 17.59/12.85 inference(unit_resolution,[status(thm)],[38610, 17940, 38609])).
% 17.59/12.85 tff(38612,plain,
% 17.59/12.85 (((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | ((~less_3(bitIndex1)) | (v88(constB117, bitIndex1) <=> v90(constB117, bitIndex1)))) <=> ((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | (~less_3(bitIndex1)) | (v88(constB117, bitIndex1) <=> v90(constB117, bitIndex1)))),
% 17.59/12.85 inference(rewrite,[status(thm)],[])).
% 17.59/12.85 tff(38613,plain,
% 17.59/12.85 ((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | ((~less_3(bitIndex1)) | (v88(constB117, bitIndex1) <=> v90(constB117, bitIndex1)))),
% 17.59/12.85 inference(quant_inst,[status(thm)],[])).
% 17.59/12.85 tff(38614,plain,
% 17.59/12.85 ((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | (~less_3(bitIndex1)) | (v88(constB117, bitIndex1) <=> v90(constB117, bitIndex1))),
% 17.59/12.85 inference(modus_ponens,[status(thm)],[38613, 38612])).
% 17.59/12.85 tff(38615,plain,
% 17.59/12.85 (v88(constB117, bitIndex1) <=> v90(constB117, bitIndex1)),
% 17.59/12.85 inference(unit_resolution,[status(thm)],[38614, 5017, 410])).
% 17.59/12.85 tff(38616,plain,
% 17.59/12.85 ((~(v88(constB117, bitIndex1) <=> v90(constB117, bitIndex1))) | (~v88(constB117, bitIndex1)) | v90(constB117, bitIndex1)),
% 17.59/12.85 inference(tautology,[status(thm)],[])).
% 17.59/12.85 tff(38617,plain,
% 17.59/12.85 (~v88(constB117, bitIndex1)),
% 17.59/12.85 inference(unit_resolution,[status(thm)],[38616, 17971, 38615])).
% 17.59/12.85 tff(38618,plain,
% 17.59/12.85 ((~(v88(constB117, bitIndex2) | v88(constB117, bitIndex1) | (~v88(constB117, bitIndex0)))) | v88(constB117, bitIndex2) | v88(constB117, bitIndex1) | (~v88(constB117, bitIndex0))),
% 17.59/12.85 inference(tautology,[status(thm)],[])).
% 17.59/12.85 tff(38619,plain,
% 17.59/12.85 (~(v88(constB117, bitIndex2) | v88(constB117, bitIndex1) | (~v88(constB117, bitIndex0)))),
% 17.59/12.85 inference(unit_resolution,[status(thm)],[38618, 38617, 38611, 38605])).
% 17.59/12.85 tff(38620,plain,
% 17.59/12.85 ((~(v140(constB117) <=> (~(v88(constB117, bitIndex2) | v88(constB117, bitIndex1) | (~v88(constB117, bitIndex0)))))) | v140(constB117) | (v88(constB117, bitIndex2) | v88(constB117, bitIndex1) | (~v88(constB117, bitIndex0)))),
% 17.59/12.85 inference(tautology,[status(thm)],[])).
% 17.59/12.85 tff(38621,plain,
% 17.59/12.85 (v140(constB117)),
% 17.59/12.85 inference(unit_resolution,[status(thm)],[38620, 38619, 38599])).
% 17.59/12.85 tff(38622,plain,
% 17.59/12.85 ((v139(constB117) | v140(constB117)) | (~v140(constB117))),
% 17.59/12.85 inference(tautology,[status(thm)],[])).
% 17.59/12.85 tff(38623,plain,
% 17.59/12.85 (v139(constB117) | v140(constB117)),
% 17.59/12.85 inference(unit_resolution,[status(thm)],[38622, 38621])).
% 17.59/12.85 tff(38624,plain,
% 17.59/12.85 ((~(v151(constB117) <=> (v139(constB117) | v140(constB117)))) | v151(constB117) | (~(v139(constB117) | v140(constB117)))),
% 17.59/12.85 inference(tautology,[status(thm)],[])).
% 17.59/12.85 tff(38625,plain,
% 17.59/12.85 (v151(constB117)),
% 17.59/12.85 inference(unit_resolution,[status(thm)],[38624, 38623, 38592])).
% 17.59/12.85 tff(38626,plain,
% 17.59/12.85 ((v141(constB117) | v151(constB117)) | (~v151(constB117))),
% 17.59/12.85 inference(tautology,[status(thm)],[])).
% 17.59/12.85 tff(38627,plain,
% 17.59/12.85 (v141(constB117) | v151(constB117)),
% 17.59/12.85 inference(unit_resolution,[status(thm)],[38626, 38625])).
% 17.59/12.85 tff(38628,plain,
% 17.59/12.85 ((~(v150(constB117) <=> (v141(constB117) | v151(constB117)))) | v150(constB117) | (~(v141(constB117) | v151(constB117)))),
% 17.59/12.85 inference(tautology,[status(thm)],[])).
% 17.59/12.85 tff(38629,plain,
% 17.59/12.85 (v150(constB117)),
% 17.59/12.85 inference(unit_resolution,[status(thm)],[38628, 38627, 38590])).
% 17.59/12.85 tff(38630,plain,
% 17.59/12.85 ((v142(constB117) | v150(constB117)) | (~v150(constB117))),
% 17.59/12.85 inference(tautology,[status(thm)],[])).
% 17.59/12.85 tff(38631,plain,
% 17.59/12.85 (v142(constB117) | v150(constB117)),
% 17.59/12.85 inference(unit_resolution,[status(thm)],[38630, 38629])).
% 17.59/12.85 tff(38632,plain,
% 17.59/12.85 ((~(v171(constB117) <=> (v142(constB117) | v150(constB117)))) | v171(constB117) | (~(v142(constB117) | v150(constB117)))),
% 17.59/12.85 inference(tautology,[status(thm)],[])).
% 17.59/12.85 tff(38633,plain,
% 17.59/12.85 (v171(constB117)),
% 17.59/12.85 inference(unit_resolution,[status(thm)],[38632, 38631, 38588])).
% 17.59/12.85 tff(38634,plain,
% 17.59/12.85 (((~![VarCurr: $i] : ((~v171(VarCurr)) | (~v170(VarCurr)))) | ((~v170(constB117)) | (~v171(constB117)))) <=> ((~![VarCurr: $i] : ((~v171(VarCurr)) | (~v170(VarCurr)))) | (~v170(constB117)) | (~v171(constB117)))),
% 17.59/12.85 inference(rewrite,[status(thm)],[])).
% 17.59/12.85 tff(38635,plain,
% 17.59/12.85 (((~v171(constB117)) | (~v170(constB117))) <=> ((~v170(constB117)) | (~v171(constB117)))),
% 17.59/12.85 inference(rewrite,[status(thm)],[])).
% 17.59/12.85 tff(38636,plain,
% 17.59/12.85 (((~![VarCurr: $i] : ((~v171(VarCurr)) | (~v170(VarCurr)))) | ((~v171(constB117)) | (~v170(constB117)))) <=> ((~![VarCurr: $i] : ((~v171(VarCurr)) | (~v170(VarCurr)))) | ((~v170(constB117)) | (~v171(constB117))))),
% 17.59/12.85 inference(monotonicity,[status(thm)],[38635])).
% 17.59/12.85 tff(38637,plain,
% 17.59/12.85 (((~![VarCurr: $i] : ((~v171(VarCurr)) | (~v170(VarCurr)))) | ((~v171(constB117)) | (~v170(constB117)))) <=> ((~![VarCurr: $i] : ((~v171(VarCurr)) | (~v170(VarCurr)))) | (~v170(constB117)) | (~v171(constB117)))),
% 17.59/12.85 inference(transitivity,[status(thm)],[38636, 38634])).
% 17.59/12.85 tff(38638,plain,
% 17.59/12.85 ((~![VarCurr: $i] : ((~v171(VarCurr)) | (~v170(VarCurr)))) | ((~v171(constB117)) | (~v170(constB117)))),
% 17.59/12.85 inference(quant_inst,[status(thm)],[])).
% 17.59/12.85 tff(38639,plain,
% 17.59/12.85 ((~![VarCurr: $i] : ((~v171(VarCurr)) | (~v170(VarCurr)))) | (~v170(constB117)) | (~v171(constB117))),
% 17.59/12.85 inference(modus_ponens,[status(thm)],[38638, 38637])).
% 17.59/12.85 tff(38640,plain,
% 17.59/12.85 ((~v170(constB117)) | (~v171(constB117))),
% 17.59/12.85 inference(unit_resolution,[status(thm)],[38639, 13061])).
% 17.59/12.85 tff(38641,plain,
% 17.59/12.85 (~v170(constB117)),
% 17.59/12.85 inference(unit_resolution,[status(thm)],[38640, 38633])).
% 17.59/12.85 tff(38642,plain,
% 17.59/12.85 ((~![VarCurr: $i] : (v166(VarCurr) <=> (v145(VarCurr) | v167(VarCurr)))) | (v166(constB117) <=> (v145(constB117) | v167(constB117)))),
% 17.59/12.85 inference(quant_inst,[status(thm)],[])).
% 17.59/12.85 tff(38643,plain,
% 17.59/12.85 (v166(constB117) <=> (v145(constB117) | v167(constB117))),
% 17.59/12.85 inference(unit_resolution,[status(thm)],[38642, 13079])).
% 17.59/12.85 tff(38644,plain,
% 17.59/12.85 ((~![VarCurr: $i] : (v167(VarCurr) <=> (v142(VarCurr) | v168(VarCurr)))) | (v167(constB117) <=> (v142(constB117) | v168(constB117)))),
% 17.59/12.85 inference(quant_inst,[status(thm)],[])).
% 17.59/12.85 tff(38645,plain,
% 17.59/12.85 (v167(constB117) <=> (v142(constB117) | v168(constB117))),
% 17.59/12.85 inference(unit_resolution,[status(thm)],[38644, 13091])).
% 17.59/12.85 tff(38646,plain,
% 17.59/12.85 ((~![VarCurr: $i] : (v168(VarCurr) <=> (v141(VarCurr) | v169(VarCurr)))) | (v168(constB117) <=> (v141(constB117) | v169(constB117)))),
% 17.59/12.85 inference(quant_inst,[status(thm)],[])).
% 17.59/12.85 tff(38647,plain,
% 17.59/12.85 (v168(constB117) <=> (v141(constB117) | v169(constB117))),
% 17.59/12.85 inference(unit_resolution,[status(thm)],[38646, 20513])).
% 17.59/12.85 tff(38648,plain,
% 17.59/12.85 ((~![VarCurr: $i] : (v169(VarCurr) <=> (v139(VarCurr) | v140(VarCurr)))) | (v169(constB117) <=> (v139(constB117) | v140(constB117)))),
% 17.59/12.85 inference(quant_inst,[status(thm)],[])).
% 17.59/12.85 tff(38649,plain,
% 17.59/12.85 (v169(constB117) <=> (v139(constB117) | v140(constB117))),
% 17.59/12.85 inference(unit_resolution,[status(thm)],[38648, 20522])).
% 17.59/12.85 tff(38650,plain,
% 17.59/12.85 ((~(v169(constB117) <=> (v139(constB117) | v140(constB117)))) | v169(constB117) | (~(v139(constB117) | v140(constB117)))),
% 17.59/12.85 inference(tautology,[status(thm)],[])).
% 17.59/12.85 tff(38651,plain,
% 17.59/12.85 (v169(constB117)),
% 17.59/12.85 inference(unit_resolution,[status(thm)],[38650, 38623, 38649])).
% 17.59/12.85 tff(38652,plain,
% 17.59/12.85 ((v141(constB117) | v169(constB117)) | (~v169(constB117))),
% 17.59/12.85 inference(tautology,[status(thm)],[])).
% 17.59/12.85 tff(38653,plain,
% 17.59/12.85 (v141(constB117) | v169(constB117)),
% 17.59/12.85 inference(unit_resolution,[status(thm)],[38652, 38651])).
% 17.59/12.85 tff(38654,plain,
% 17.59/12.85 ((~(v168(constB117) <=> (v141(constB117) | v169(constB117)))) | v168(constB117) | (~(v141(constB117) | v169(constB117)))),
% 17.59/12.85 inference(tautology,[status(thm)],[])).
% 17.59/12.85 tff(38655,plain,
% 17.59/12.85 (v168(constB117)),
% 17.59/12.85 inference(unit_resolution,[status(thm)],[38654, 38653, 38647])).
% 17.59/12.85 tff(38656,plain,
% 17.59/12.85 ((v142(constB117) | v168(constB117)) | (~v168(constB117))),
% 17.59/12.85 inference(tautology,[status(thm)],[])).
% 17.59/12.85 tff(38657,plain,
% 17.59/12.85 (v142(constB117) | v168(constB117)),
% 17.59/12.85 inference(unit_resolution,[status(thm)],[38656, 38655])).
% 17.59/12.85 tff(38658,plain,
% 17.59/12.85 ((~(v167(constB117) <=> (v142(constB117) | v168(constB117)))) | v167(constB117) | (~(v142(constB117) | v168(constB117)))),
% 17.59/12.85 inference(tautology,[status(thm)],[])).
% 17.59/12.85 tff(38659,plain,
% 17.59/12.85 (v167(constB117)),
% 17.59/12.85 inference(unit_resolution,[status(thm)],[38658, 38657, 38645])).
% 17.59/12.85 tff(38660,plain,
% 17.59/12.85 ((v145(constB117) | v167(constB117)) | (~v167(constB117))),
% 17.59/12.85 inference(tautology,[status(thm)],[])).
% 17.59/12.85 tff(38661,plain,
% 17.59/12.85 (v145(constB117) | v167(constB117)),
% 17.59/12.85 inference(unit_resolution,[status(thm)],[38660, 38659])).
% 17.59/12.85 tff(38662,plain,
% 17.59/12.85 ((~(v166(constB117) <=> (v145(constB117) | v167(constB117)))) | v166(constB117) | (~(v145(constB117) | v167(constB117)))),
% 17.59/12.85 inference(tautology,[status(thm)],[])).
% 17.59/12.85 tff(38663,plain,
% 17.59/12.85 (v166(constB117)),
% 17.59/12.85 inference(unit_resolution,[status(thm)],[38662, 38661, 38643])).
% 17.59/12.85 tff(38664,plain,
% 17.59/12.85 (((~![VarNext: $i] : ((~v166(VarNext)) | (v163(VarNext) <=> v170(VarNext)))) | ((~v166(constB117)) | (v163(constB117) <=> v170(constB117)))) <=> ((~![VarNext: $i] : ((~v166(VarNext)) | (v163(VarNext) <=> v170(VarNext)))) | (~v166(constB117)) | (v163(constB117) <=> v170(constB117)))),
% 17.59/12.85 inference(rewrite,[status(thm)],[])).
% 17.59/12.85 tff(38665,plain,
% 17.59/12.85 ((~![VarNext: $i] : ((~v166(VarNext)) | (v163(VarNext) <=> v170(VarNext)))) | ((~v166(constB117)) | (v163(constB117) <=> v170(constB117)))),
% 17.59/12.85 inference(quant_inst,[status(thm)],[])).
% 17.59/12.85 tff(38666,plain,
% 17.59/12.85 ((~![VarNext: $i] : ((~v166(VarNext)) | (v163(VarNext) <=> v170(VarNext)))) | (~v166(constB117)) | (v163(constB117) <=> v170(constB117))),
% 17.59/12.85 inference(modus_ponens,[status(thm)],[38665, 38664])).
% 17.59/12.85 tff(38667,plain,
% 17.59/12.85 ((~v166(constB117)) | (v163(constB117) <=> v170(constB117))),
% 17.59/12.85 inference(unit_resolution,[status(thm)],[38666, 13111])).
% 17.59/12.85 tff(38668,plain,
% 17.59/12.85 (v163(constB117) <=> v170(constB117)),
% 17.59/12.85 inference(unit_resolution,[status(thm)],[38667, 38663])).
% 17.59/12.85 tff(38669,plain,
% 17.59/12.85 ((~(v163(constB117) <=> v170(constB117))) | (~v163(constB117)) | v170(constB117)),
% 17.59/12.85 inference(tautology,[status(thm)],[])).
% 17.59/12.85 tff(38670,plain,
% 17.59/12.85 (~v163(constB117)),
% 17.59/12.85 inference(unit_resolution,[status(thm)],[38669, 38668, 38641])).
% 17.59/12.85 tff(38671,plain,
% 17.59/12.85 ((~(v161(constB117) <=> v163(constB117))) | (~v161(constB117)) | v163(constB117)),
% 17.59/12.85 inference(tautology,[status(thm)],[])).
% 17.59/12.85 tff(38672,plain,
% 17.59/12.85 (~v161(constB117)),
% 17.59/12.85 inference(unit_resolution,[status(thm)],[38671, 38670, 38586])).
% 17.59/12.85 tff(38673,plain,
% 17.59/12.85 ((~(v186(constB118) <=> v161(constB117))) | (~v186(constB118)) | v161(constB117)),
% 17.59/12.85 inference(tautology,[status(thm)],[])).
% 17.59/12.85 tff(38674,plain,
% 17.59/12.85 (~v186(constB118)),
% 17.59/12.85 inference(unit_resolution,[status(thm)],[38673, 38672, 38584])).
% 17.59/12.85 tff(38675,plain,
% 17.59/12.85 ((~(v159(constB118) <=> v186(constB118))) | (~v159(constB118)) | v186(constB118)),
% 17.59/12.85 inference(tautology,[status(thm)],[])).
% 17.59/12.85 tff(38676,plain,
% 17.59/12.85 (~v159(constB118)),
% 17.59/12.85 inference(unit_resolution,[status(thm)],[38675, 38674, 38580])).
% 17.59/12.85 tff(38677,plain,
% 17.59/12.85 ((~(v159(constB119) <=> v159(constB118))) | (~v159(constB119)) | v159(constB118)),
% 17.59/12.85 inference(tautology,[status(thm)],[])).
% 17.59/12.85 tff(38678,plain,
% 17.59/12.85 (~v159(constB119)),
% 17.59/12.85 inference(unit_resolution,[status(thm)],[38677, 38676, 38552])).
% 17.59/12.85 tff(38679,plain,
% 17.59/12.85 (((~v159(constB119)) | (~v161(constB119))) | v159(constB119)),
% 17.59/12.85 inference(tautology,[status(thm)],[])).
% 17.59/12.85 tff(38680,plain,
% 17.59/12.85 ((~v159(constB119)) | (~v161(constB119))),
% 17.59/12.85 inference(unit_resolution,[status(thm)],[38679, 38678])).
% 17.59/12.85 tff(38681,plain,
% 17.59/12.85 ((~(v201(constB119) <=> (~((~v159(constB119)) | (~v161(constB119)))))) | (~v201(constB119)) | (~((~v159(constB119)) | (~v161(constB119))))),
% 17.59/12.85 inference(tautology,[status(thm)],[])).
% 17.59/12.85 tff(38682,plain,
% 17.59/12.85 (~v201(constB119)),
% 17.59/12.85 inference(unit_resolution,[status(thm)],[38681, 38680, 38526])).
% 17.59/12.85 tff(38683,plain,
% 17.59/12.85 (((~v197(constB119)) | (~v201(constB119))) | v201(constB119)),
% 17.59/12.85 inference(tautology,[status(thm)],[])).
% 17.59/12.85 tff(38684,plain,
% 17.59/12.85 ((~v197(constB119)) | (~v201(constB119))),
% 17.59/12.85 inference(unit_resolution,[status(thm)],[38683, 38682])).
% 17.59/12.85 tff(38685,plain,
% 17.59/12.85 ((~(v200(constB119) <=> (~((~v197(constB119)) | (~v201(constB119)))))) | (~v200(constB119)) | (~((~v197(constB119)) | (~v201(constB119))))),
% 17.59/12.85 inference(tautology,[status(thm)],[])).
% 17.59/12.85 tff(38686,plain,
% 17.59/12.85 (~v200(constB119)),
% 17.59/12.85 inference(unit_resolution,[status(thm)],[38685, 38684, 38524])).
% 17.59/12.85 tff(38687,plain,
% 17.59/12.85 (((~v199(constB119)) | (~v200(constB119))) | v200(constB119)),
% 17.59/12.85 inference(tautology,[status(thm)],[])).
% 17.59/12.85 tff(38688,plain,
% 17.59/12.85 ((~v199(constB119)) | (~v200(constB119))),
% 17.59/12.85 inference(unit_resolution,[status(thm)],[38687, 38686])).
% 17.59/12.85 tff(38689,plain,
% 17.59/12.85 ((~(v198(constB119) <=> (~((~v199(constB119)) | (~v200(constB119)))))) | (~v198(constB119)) | (~((~v199(constB119)) | (~v200(constB119))))),
% 17.59/12.85 inference(tautology,[status(thm)],[])).
% 17.59/12.85 tff(38690,plain,
% 17.59/12.85 (~v198(constB119)),
% 17.59/12.85 inference(unit_resolution,[status(thm)],[38689, 38688, 38522])).
% 17.59/12.85 tff(38691,plain,
% 17.59/12.85 ((~(v194(constB119) | v198(constB119))) | v194(constB119) | v198(constB119)),
% 17.59/12.85 inference(tautology,[status(thm)],[])).
% 17.59/12.85 tff(38692,plain,
% 17.59/12.85 (~(v194(constB119) | v198(constB119))),
% 17.59/12.85 inference(unit_resolution,[status(thm)],[38691, 38690, 38520])).
% 17.59/12.85 tff(38693,plain,
% 17.59/12.85 ((~(v191(constB119) <=> (v194(constB119) | v198(constB119)))) | (~v191(constB119)) | (v194(constB119) | v198(constB119))),
% 17.59/12.85 inference(tautology,[status(thm)],[])).
% 17.59/12.85 tff(38694,plain,
% 17.59/12.85 (~v191(constB119)),
% 17.59/12.85 inference(unit_resolution,[status(thm)],[38693, 38692, 38447])).
% 17.59/12.85 tff(38695,plain,
% 17.59/12.85 ((~(v193(constB120) <=> v191(constB119))) | (~v193(constB120)) | v191(constB119)),
% 17.59/12.85 inference(tautology,[status(thm)],[])).
% 17.59/12.85 tff(38696,plain,
% 17.59/12.85 (~v193(constB120)),
% 17.59/12.85 inference(unit_resolution,[status(thm)],[38695, 38694, 38445])).
% 17.59/12.85 tff(38697,plain,
% 17.59/12.85 ((~(v157(constB120) <=> v193(constB120))) | (~v157(constB120)) | v193(constB120)),
% 17.59/12.85 inference(tautology,[status(thm)],[])).
% 17.59/12.85 tff(38698,plain,
% 17.59/12.85 (~v157(constB120)),
% 17.59/12.85 inference(unit_resolution,[status(thm)],[38697, 38696, 38441])).
% 17.59/12.85 tff(38699,plain,
% 17.59/12.85 (((~v157(constB120)) | (~v195(constB120))) | v157(constB120)),
% 17.59/12.85 inference(tautology,[status(thm)],[])).
% 17.59/12.85 tff(38700,plain,
% 17.59/12.85 ((~v157(constB120)) | (~v195(constB120))),
% 17.59/12.85 inference(unit_resolution,[status(thm)],[38699, 38698])).
% 17.59/12.85 tff(38701,plain,
% 17.59/12.85 ((~(v194(constB120) <=> (~((~v157(constB120)) | (~v195(constB120)))))) | (~v194(constB120)) | (~((~v157(constB120)) | (~v195(constB120))))),
% 17.59/12.85 inference(tautology,[status(thm)],[])).
% 17.59/12.85 tff(38702,plain,
% 17.59/12.85 (~v194(constB120)),
% 17.59/12.85 inference(unit_resolution,[status(thm)],[38701, 38700, 38439])).
% 17.59/12.85 tff(38703,plain,
% 17.59/12.85 ((~(v194(constB120) | v198(constB120))) | v194(constB120) | v198(constB120)),
% 17.59/12.85 inference(tautology,[status(thm)],[])).
% 17.59/12.85 tff(38704,plain,
% 17.59/12.85 (~(v194(constB120) | v198(constB120))),
% 17.59/12.85 inference(unit_resolution,[status(thm)],[38703, 38702, 38432])).
% 17.59/12.85 tff(38705,plain,
% 17.59/12.85 ((~(v191(constB120) <=> (v194(constB120) | v198(constB120)))) | (~v191(constB120)) | (v194(constB120) | v198(constB120))),
% 17.59/12.85 inference(tautology,[status(thm)],[])).
% 17.59/12.85 tff(38706,plain,
% 17.59/12.85 (~v191(constB120)),
% 17.59/12.85 inference(unit_resolution,[status(thm)],[38705, 38704, 38407])).
% 17.59/12.85 tff(38707,plain,
% 17.59/12.85 ((~(v193(constB121) <=> v191(constB120))) | (~v193(constB121)) | v191(constB120)),
% 17.59/12.85 inference(tautology,[status(thm)],[])).
% 17.59/12.85 tff(38708,plain,
% 17.59/12.85 (~v193(constB121)),
% 17.59/12.85 inference(unit_resolution,[status(thm)],[38707, 38706, 38405])).
% 17.59/12.85 tff(38709,plain,
% 17.59/12.85 ($false),
% 17.59/12.85 inference(unit_resolution,[status(thm)],[38708, 38401])).
% 17.59/12.85 tff(38710,plain,(~(constB121 = VarCurr!0)), inference(lemma,lemma(discharge,[]))).
% 17.59/12.85 tff(38711,assumption,(constB21 = VarCurr!0), introduced(assumption)).
% 17.59/12.85 tff(38712,plain,
% 17.59/12.85 (v193(constB21) <=> v193(VarCurr!0)),
% 17.59/12.85 inference(monotonicity,[status(thm)],[38711])).
% 17.59/12.85 tff(38713,plain,
% 17.59/12.85 (v193(VarCurr!0) <=> v193(constB21)),
% 17.59/12.85 inference(symmetry,[status(thm)],[38712])).
% 17.59/12.85 tff(38714,plain,
% 17.59/12.85 (v193(constB21)),
% 17.59/12.85 inference(modus_ponens,[status(thm)],[59, 38713])).
% 17.59/12.85 tff(38715,plain,
% 17.59/12.85 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v193(VarNext) <=> v191(VarCurr)))) | ((~nextState(constB20, constB21)) | (v193(constB21) <=> v191(constB20)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v193(VarNext) <=> v191(VarCurr)))) | (~nextState(constB20, constB21)) | (v193(constB21) <=> v191(constB20)))),
% 17.59/12.85 inference(rewrite,[status(thm)],[])).
% 17.59/12.85 tff(38716,plain,
% 17.59/12.85 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v193(VarNext) <=> v191(VarCurr)))) | ((~nextState(constB20, constB21)) | (v193(constB21) <=> v191(constB20)))),
% 17.59/12.85 inference(quant_inst,[status(thm)],[])).
% 17.59/12.85 tff(38717,plain,
% 17.59/12.85 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v193(VarNext) <=> v191(VarCurr)))) | (~nextState(constB20, constB21)) | (v193(constB21) <=> v191(constB20))),
% 17.59/12.85 inference(modus_ponens,[status(thm)],[38716, 38715])).
% 17.59/12.85 tff(38718,plain,
% 17.59/12.85 (v193(constB21) <=> v191(constB20)),
% 17.59/12.85 inference(unit_resolution,[status(thm)],[38717, 4038, 70])).
% 17.59/12.85 tff(38719,plain,
% 17.59/12.85 ((~![VarCurr: $i] : (v191(VarCurr) <=> (v194(VarCurr) | v198(VarCurr)))) | (v191(constB20) <=> (v194(constB20) | v198(constB20)))),
% 17.59/12.85 inference(quant_inst,[status(thm)],[])).
% 17.59/12.85 tff(38720,plain,
% 17.59/12.85 (v191(constB20) <=> (v194(constB20) | v198(constB20))),
% 17.59/12.85 inference(unit_resolution,[status(thm)],[38719, 84])).
% 17.59/12.85 tff(38721,plain,
% 17.59/12.85 ((~![VarCurr: $i] : (v198(VarCurr) <=> (~((~v199(VarCurr)) | (~v200(VarCurr)))))) | (v198(constB20) <=> (~((~v199(constB20)) | (~v200(constB20)))))),
% 17.59/12.85 inference(quant_inst,[status(thm)],[])).
% 17.59/12.85 tff(38722,plain,
% 17.59/12.85 (v198(constB20) <=> (~((~v199(constB20)) | (~v200(constB20))))),
% 17.59/12.85 inference(unit_resolution,[status(thm)],[38721, 96])).
% 17.59/12.86 tff(38723,plain,
% 17.59/12.86 ((~![VarCurr: $i] : (v200(VarCurr) <=> (~((~v197(VarCurr)) | (~v201(VarCurr)))))) | (v200(constB20) <=> (~((~v197(constB20)) | (~v201(constB20)))))),
% 17.59/12.86 inference(quant_inst,[status(thm)],[])).
% 17.59/12.86 tff(38724,plain,
% 17.59/12.86 (v200(constB20) <=> (~((~v197(constB20)) | (~v201(constB20))))),
% 17.59/12.86 inference(unit_resolution,[status(thm)],[38723, 108])).
% 17.59/12.86 tff(38725,plain,
% 17.59/12.86 ((~![VarCurr: $i] : (v197(VarCurr) <=> (~((~v39(VarCurr)) | (~v9(VarCurr)))))) | (v197(constB20) <=> (~((~v39(constB20)) | (~v9(constB20)))))),
% 17.59/12.86 inference(quant_inst,[status(thm)],[])).
% 17.59/12.86 tff(38726,plain,
% 17.59/12.86 (v197(constB20) <=> (~((~v39(constB20)) | (~v9(constB20))))),
% 17.59/12.86 inference(unit_resolution,[status(thm)],[38725, 120])).
% 17.59/12.86 tff(38727,plain,
% 17.59/12.86 ((~![VarCurr: $i] : ((~v39(VarCurr)) <=> v1(VarCurr))) | ((~v39(constB20)) <=> v1(constB20))),
% 17.59/12.86 inference(quant_inst,[status(thm)],[])).
% 17.59/12.86 tff(38728,plain,
% 17.59/12.86 ((~v39(constB20)) <=> v1(constB20)),
% 17.59/12.86 inference(unit_resolution,[status(thm)],[38727, 129])).
% 17.59/12.86 tff(38729,plain,
% 17.59/12.86 ((~((~v39(constB20)) <=> v1(constB20))) | (~v39(constB20)) | (~v1(constB20))),
% 17.59/12.86 inference(tautology,[status(thm)],[])).
% 17.59/12.86 tff(38730,plain,
% 17.59/12.86 ((~((~v39(constB20)) <=> v1(constB20))) | (~v39(constB20))),
% 17.59/12.86 inference(unit_resolution,[status(thm)],[38729, 4100])).
% 17.59/12.86 tff(38731,plain,
% 17.59/12.86 (~v39(constB20)),
% 17.59/12.86 inference(unit_resolution,[status(thm)],[38730, 38728])).
% 17.59/12.86 tff(38732,plain,
% 17.59/12.86 (((~v39(constB20)) | (~v9(constB20))) | v39(constB20)),
% 17.59/12.86 inference(tautology,[status(thm)],[])).
% 17.59/12.86 tff(38733,plain,
% 17.59/12.86 ((~v39(constB20)) | (~v9(constB20))),
% 17.59/12.86 inference(unit_resolution,[status(thm)],[38732, 38731])).
% 17.59/12.86 tff(38734,plain,
% 17.59/12.86 ((~(v197(constB20) <=> (~((~v39(constB20)) | (~v9(constB20)))))) | (~v197(constB20)) | (~((~v39(constB20)) | (~v9(constB20))))),
% 17.59/12.86 inference(tautology,[status(thm)],[])).
% 17.59/12.86 tff(38735,plain,
% 17.59/12.86 ((~(v197(constB20) <=> (~((~v39(constB20)) | (~v9(constB20)))))) | (~v197(constB20))),
% 17.59/12.86 inference(unit_resolution,[status(thm)],[38734, 38733])).
% 17.59/12.86 tff(38736,plain,
% 17.59/12.86 (~v197(constB20)),
% 17.59/12.86 inference(unit_resolution,[status(thm)],[38735, 38726])).
% 17.59/12.86 tff(38737,plain,
% 17.59/12.86 (((~v197(constB20)) | (~v201(constB20))) | v197(constB20)),
% 17.59/12.86 inference(tautology,[status(thm)],[])).
% 17.59/12.86 tff(38738,plain,
% 17.59/12.86 ((~v197(constB20)) | (~v201(constB20))),
% 17.59/12.86 inference(unit_resolution,[status(thm)],[38737, 38736])).
% 17.59/12.86 tff(38739,plain,
% 17.59/12.86 ((~(v200(constB20) <=> (~((~v197(constB20)) | (~v201(constB20)))))) | (~v200(constB20)) | (~((~v197(constB20)) | (~v201(constB20))))),
% 17.59/12.86 inference(tautology,[status(thm)],[])).
% 17.59/12.86 tff(38740,plain,
% 17.59/12.86 ((~(v200(constB20) <=> (~((~v197(constB20)) | (~v201(constB20)))))) | (~v200(constB20))),
% 17.59/12.86 inference(unit_resolution,[status(thm)],[38739, 38738])).
% 17.59/12.86 tff(38741,plain,
% 17.59/12.86 (~v200(constB20)),
% 17.59/12.86 inference(unit_resolution,[status(thm)],[38740, 38724])).
% 17.59/12.86 tff(38742,plain,
% 17.59/12.86 (((~v199(constB20)) | (~v200(constB20))) | v200(constB20)),
% 17.59/12.86 inference(tautology,[status(thm)],[])).
% 17.59/12.86 tff(38743,plain,
% 17.59/12.86 ((~v199(constB20)) | (~v200(constB20))),
% 17.59/12.86 inference(unit_resolution,[status(thm)],[38742, 38741])).
% 17.59/12.86 tff(38744,plain,
% 17.59/12.86 ((~(v198(constB20) <=> (~((~v199(constB20)) | (~v200(constB20)))))) | (~v198(constB20)) | (~((~v199(constB20)) | (~v200(constB20))))),
% 17.59/12.86 inference(tautology,[status(thm)],[])).
% 17.59/12.86 tff(38745,plain,
% 17.59/12.86 (~v198(constB20)),
% 17.59/12.86 inference(unit_resolution,[status(thm)],[38744, 38743, 38722])).
% 17.59/12.86 tff(38746,plain,
% 17.59/12.86 (((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB20) <=> (~((~v157(constB20)) | (~v195(constB20)))))) <=> ((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB20) <=> (~((~v157(constB20)) | (~v195(constB20))))))),
% 17.59/12.86 inference(rewrite,[status(thm)],[])).
% 17.59/12.86 tff(38747,plain,
% 17.59/12.86 ((v194(constB20) <=> (~((~v195(constB20)) | (~v157(constB20))))) <=> (v194(constB20) <=> (~((~v157(constB20)) | (~v195(constB20)))))),
% 17.59/12.86 inference(rewrite,[status(thm)],[])).
% 17.59/12.86 tff(38748,plain,
% 17.59/12.86 (((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB20) <=> (~((~v195(constB20)) | (~v157(constB20)))))) <=> ((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB20) <=> (~((~v157(constB20)) | (~v195(constB20))))))),
% 17.59/12.86 inference(monotonicity,[status(thm)],[38747])).
% 17.59/12.86 tff(38749,plain,
% 17.59/12.86 (((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB20) <=> (~((~v195(constB20)) | (~v157(constB20)))))) <=> ((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB20) <=> (~((~v157(constB20)) | (~v195(constB20))))))),
% 17.59/12.86 inference(transitivity,[status(thm)],[38748, 38746])).
% 17.59/12.86 tff(38750,plain,
% 17.59/12.86 ((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB20) <=> (~((~v195(constB20)) | (~v157(constB20)))))),
% 17.59/12.86 inference(quant_inst,[status(thm)],[])).
% 17.59/12.86 tff(38751,plain,
% 17.59/12.86 ((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB20) <=> (~((~v157(constB20)) | (~v195(constB20)))))),
% 17.59/12.86 inference(modus_ponens,[status(thm)],[38750, 38749])).
% 17.59/12.86 tff(38752,plain,
% 17.59/12.86 (v194(constB20) <=> (~((~v157(constB20)) | (~v195(constB20))))),
% 17.59/12.86 inference(unit_resolution,[status(thm)],[38751, 161])).
% 17.59/12.86 tff(38753,plain,
% 17.59/12.86 ((~![VarNext: $i] : (v157(VarNext) <=> v193(VarNext))) | (v157(constB20) <=> v193(constB20))),
% 17.59/12.86 inference(quant_inst,[status(thm)],[])).
% 17.59/12.86 tff(38754,plain,
% 17.59/12.86 (v157(constB20) <=> v193(constB20)),
% 17.59/12.86 inference(unit_resolution,[status(thm)],[38753, 13])).
% 17.59/12.86 tff(38755,plain,
% 17.59/12.86 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v193(VarNext) <=> v191(VarCurr)))) | ((~nextState(constB19, constB20)) | (v193(constB20) <=> v191(constB19)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v193(VarNext) <=> v191(VarCurr)))) | (~nextState(constB19, constB20)) | (v193(constB20) <=> v191(constB19)))),
% 17.59/12.86 inference(rewrite,[status(thm)],[])).
% 17.59/12.86 tff(38756,plain,
% 17.59/12.86 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v193(VarNext) <=> v191(VarCurr)))) | ((~nextState(constB19, constB20)) | (v193(constB20) <=> v191(constB19)))),
% 17.59/12.86 inference(quant_inst,[status(thm)],[])).
% 17.59/12.86 tff(38757,plain,
% 17.59/12.86 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v193(VarNext) <=> v191(VarCurr)))) | (~nextState(constB19, constB20)) | (v193(constB20) <=> v191(constB19))),
% 17.59/12.86 inference(modus_ponens,[status(thm)],[38756, 38755])).
% 17.59/12.86 tff(38758,plain,
% 17.59/12.86 (v193(constB20) <=> v191(constB19)),
% 17.59/12.86 inference(unit_resolution,[status(thm)],[38757, 4070, 70])).
% 17.59/12.86 tff(38759,plain,
% 17.59/12.86 ((~![VarCurr: $i] : (v191(VarCurr) <=> (v194(VarCurr) | v198(VarCurr)))) | (v191(constB19) <=> (v194(constB19) | v198(constB19)))),
% 17.59/12.86 inference(quant_inst,[status(thm)],[])).
% 17.59/12.86 tff(38760,plain,
% 17.59/12.86 (v191(constB19) <=> (v194(constB19) | v198(constB19))),
% 17.59/12.86 inference(unit_resolution,[status(thm)],[38759, 84])).
% 17.59/12.86 tff(38761,plain,
% 17.59/12.86 (((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB19) <=> (~((~v157(constB19)) | (~v195(constB19)))))) <=> ((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB19) <=> (~((~v157(constB19)) | (~v195(constB19))))))),
% 17.59/12.86 inference(rewrite,[status(thm)],[])).
% 17.59/12.86 tff(38762,plain,
% 17.59/12.86 ((v194(constB19) <=> (~((~v195(constB19)) | (~v157(constB19))))) <=> (v194(constB19) <=> (~((~v157(constB19)) | (~v195(constB19)))))),
% 17.59/12.86 inference(rewrite,[status(thm)],[])).
% 17.59/12.86 tff(38763,plain,
% 17.59/12.86 (((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB19) <=> (~((~v195(constB19)) | (~v157(constB19)))))) <=> ((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB19) <=> (~((~v157(constB19)) | (~v195(constB19))))))),
% 17.59/12.86 inference(monotonicity,[status(thm)],[38762])).
% 17.59/12.86 tff(38764,plain,
% 17.59/12.86 (((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB19) <=> (~((~v195(constB19)) | (~v157(constB19)))))) <=> ((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB19) <=> (~((~v157(constB19)) | (~v195(constB19))))))),
% 17.59/12.86 inference(transitivity,[status(thm)],[38763, 38761])).
% 17.59/12.86 tff(38765,plain,
% 17.59/12.86 ((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB19) <=> (~((~v195(constB19)) | (~v157(constB19)))))),
% 17.59/12.86 inference(quant_inst,[status(thm)],[])).
% 17.59/12.86 tff(38766,plain,
% 17.59/12.86 ((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB19) <=> (~((~v157(constB19)) | (~v195(constB19)))))),
% 17.59/12.86 inference(modus_ponens,[status(thm)],[38765, 38764])).
% 17.59/12.86 tff(38767,plain,
% 17.59/12.86 (v194(constB19) <=> (~((~v157(constB19)) | (~v195(constB19))))),
% 17.59/12.86 inference(unit_resolution,[status(thm)],[38766, 161])).
% 17.59/12.86 tff(38768,plain,
% 17.59/12.86 ((~![VarCurr: $i] : ((~v195(VarCurr)) <=> v196(VarCurr))) | ((~v195(constB19)) <=> v196(constB19))),
% 17.59/12.86 inference(quant_inst,[status(thm)],[])).
% 17.59/12.86 tff(38769,plain,
% 17.59/12.86 ((~v195(constB19)) <=> v196(constB19)),
% 17.59/12.86 inference(unit_resolution,[status(thm)],[38768, 193])).
% 17.59/12.86 tff(38770,plain,
% 17.59/12.86 ((~![VarCurr: $i] : (v196(VarCurr) <=> (v197(VarCurr) | v26(VarCurr)))) | (v196(constB19) <=> (v197(constB19) | v26(constB19)))),
% 17.59/12.86 inference(quant_inst,[status(thm)],[])).
% 17.59/12.86 tff(38771,plain,
% 17.59/12.86 (v196(constB19) <=> (v197(constB19) | v26(constB19))),
% 17.59/12.86 inference(unit_resolution,[status(thm)],[38770, 202])).
% 17.59/12.86 tff(38772,plain,
% 17.59/12.86 ((~![VarCurr: $i] : (v197(VarCurr) <=> (~((~v39(VarCurr)) | (~v9(VarCurr)))))) | (v197(constB19) <=> (~((~v39(constB19)) | (~v9(constB19)))))),
% 17.59/12.86 inference(quant_inst,[status(thm)],[])).
% 17.59/12.86 tff(38773,plain,
% 17.59/12.86 (v197(constB19) <=> (~((~v39(constB19)) | (~v9(constB19))))),
% 17.59/12.86 inference(unit_resolution,[status(thm)],[38772, 120])).
% 17.59/12.86 tff(38774,plain,
% 17.59/12.86 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | ((~nextState(constB19, constB20)) | (v13(constB20) <=> v9(constB19)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | (~nextState(constB19, constB20)) | (v13(constB20) <=> v9(constB19)))),
% 17.59/12.86 inference(rewrite,[status(thm)],[])).
% 17.59/12.86 tff(38775,plain,
% 17.59/12.86 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | ((~nextState(constB19, constB20)) | (v13(constB20) <=> v9(constB19)))),
% 17.59/12.86 inference(quant_inst,[status(thm)],[])).
% 17.59/12.86 tff(38776,plain,
% 17.59/12.86 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | (~nextState(constB19, constB20)) | (v13(constB20) <=> v9(constB19))),
% 17.59/12.86 inference(modus_ponens,[status(thm)],[38775, 38774])).
% 17.59/12.86 tff(38777,plain,
% 17.59/12.86 (v13(constB20) <=> v9(constB19)),
% 17.59/12.86 inference(unit_resolution,[status(thm)],[38776, 4070, 216])).
% 17.59/12.86 tff(38778,plain,
% 17.59/12.86 ((~![VarNext: $i] : (v6(VarNext) <=> v13(VarNext))) | (v6(constB20) <=> v13(constB20))),
% 17.59/12.86 inference(quant_inst,[status(thm)],[])).
% 17.59/12.86 tff(38779,plain,
% 17.59/12.86 (v6(constB20) <=> v13(constB20)),
% 17.59/12.86 inference(unit_resolution,[status(thm)],[38778, 230])).
% 17.59/12.86 tff(38780,plain,
% 17.59/12.86 ((~![VarCurr: $i] : ((~v21(VarCurr)) <=> v6(VarCurr))) | ((~v21(constB20)) <=> v6(constB20))),
% 17.59/12.86 inference(quant_inst,[status(thm)],[])).
% 17.59/12.86 tff(38781,plain,
% 17.59/12.86 ((~v21(constB20)) <=> v6(constB20)),
% 17.59/12.86 inference(unit_resolution,[status(thm)],[38780, 239])).
% 17.59/12.86 tff(38782,plain,
% 17.59/12.86 ((~![VarCurr: $i] : (v19(VarCurr) <=> (v20(VarCurr) | v21(VarCurr)))) | (v19(constB20) <=> (v20(constB20) | v21(constB20)))),
% 17.59/12.86 inference(quant_inst,[status(thm)],[])).
% 17.59/12.86 tff(38783,plain,
% 17.59/12.86 (v19(constB20) <=> (v20(constB20) | v21(constB20))),
% 17.59/12.86 inference(unit_resolution,[status(thm)],[38782, 248])).
% 17.59/12.86 tff(38784,plain,
% 17.59/12.86 ((~![VarCurr: $i] : (v18(VarCurr) <=> (~((~v19(VarCurr)) | (~v22(VarCurr)))))) | (v18(constB20) <=> (~((~v19(constB20)) | (~v22(constB20)))))),
% 17.59/12.86 inference(quant_inst,[status(thm)],[])).
% 17.59/12.86 tff(38785,plain,
% 17.59/12.86 (v18(constB20) <=> (~((~v19(constB20)) | (~v22(constB20))))),
% 17.59/12.86 inference(unit_resolution,[status(thm)],[38784, 260])).
% 17.59/12.86 tff(38786,plain,
% 17.59/12.86 ((~![VarCurr: $i] : ((~v4(VarCurr)) <=> v18(VarCurr))) | ((~v4(constB20)) <=> v18(constB20))),
% 17.59/12.86 inference(quant_inst,[status(thm)],[])).
% 17.59/12.86 tff(38787,plain,
% 17.59/12.86 ((~v4(constB20)) <=> v18(constB20)),
% 17.59/12.86 inference(unit_resolution,[status(thm)],[38786, 269])).
% 17.59/12.86 tff(38788,plain,
% 17.59/12.86 ((~![VarCurr: $i] : v4(VarCurr)) | v4(constB20)),
% 17.59/12.86 inference(quant_inst,[status(thm)],[])).
% 17.59/12.86 tff(38789,plain,
% 17.59/12.86 (v4(constB20)),
% 17.59/12.86 inference(unit_resolution,[status(thm)],[38788, 278])).
% 17.59/12.86 tff(38790,plain,
% 17.59/12.86 ((~((~v4(constB20)) <=> v18(constB20))) | (~v4(constB20)) | (~v18(constB20))),
% 17.59/12.86 inference(tautology,[status(thm)],[])).
% 17.59/12.86 tff(38791,plain,
% 17.59/12.86 (~v18(constB20)),
% 17.59/12.86 inference(unit_resolution,[status(thm)],[38790, 38789, 38787])).
% 17.59/12.86 tff(38792,plain,
% 17.59/12.86 ((~(v18(constB20) <=> (~((~v19(constB20)) | (~v22(constB20)))))) | v18(constB20) | ((~v19(constB20)) | (~v22(constB20)))),
% 17.59/12.86 inference(tautology,[status(thm)],[])).
% 17.59/12.86 tff(38793,plain,
% 17.59/12.86 ((~v19(constB20)) | (~v22(constB20))),
% 17.59/12.86 inference(unit_resolution,[status(thm)],[38792, 38791, 38785])).
% 17.59/12.86 tff(38794,plain,
% 17.59/12.86 ((~![VarCurr: $i] : (v22(VarCurr) <=> (v1(VarCurr) | v6(VarCurr)))) | (v22(constB20) <=> (v1(constB20) | v6(constB20)))),
% 17.59/12.86 inference(quant_inst,[status(thm)],[])).
% 17.59/12.86 tff(38795,plain,
% 17.59/12.86 (v22(constB20) <=> (v1(constB20) | v6(constB20))),
% 17.59/12.86 inference(unit_resolution,[status(thm)],[38794, 291])).
% 17.59/12.86 tff(38796,plain,
% 17.59/12.86 ((v1(constB20) | v6(constB20)) | (~v1(constB20))),
% 17.59/12.86 inference(tautology,[status(thm)],[])).
% 17.59/12.86 tff(38797,plain,
% 17.59/12.86 (v1(constB20) | v6(constB20)),
% 17.59/12.86 inference(unit_resolution,[status(thm)],[38796, 4100])).
% 17.59/12.86 tff(38798,plain,
% 17.59/12.86 ((~(v22(constB20) <=> (v1(constB20) | v6(constB20)))) | v22(constB20) | (~(v1(constB20) | v6(constB20)))),
% 17.59/12.86 inference(tautology,[status(thm)],[])).
% 17.59/12.86 tff(38799,plain,
% 17.59/12.86 ((~(v22(constB20) <=> (v1(constB20) | v6(constB20)))) | v22(constB20)),
% 17.59/12.86 inference(unit_resolution,[status(thm)],[38798, 38797])).
% 17.59/12.86 tff(38800,plain,
% 17.59/12.86 (v22(constB20)),
% 17.59/12.86 inference(unit_resolution,[status(thm)],[38799, 38795])).
% 17.59/12.86 tff(38801,plain,
% 17.59/12.86 ((~((~v19(constB20)) | (~v22(constB20)))) | (~v19(constB20)) | (~v22(constB20))),
% 17.59/12.86 inference(tautology,[status(thm)],[])).
% 17.59/12.86 tff(38802,plain,
% 17.59/12.86 ((~((~v19(constB20)) | (~v22(constB20)))) | (~v19(constB20))),
% 17.59/12.86 inference(unit_resolution,[status(thm)],[38801, 38800])).
% 17.59/12.86 tff(38803,plain,
% 17.59/12.86 (~v19(constB20)),
% 17.59/12.86 inference(unit_resolution,[status(thm)],[38802, 38793])).
% 17.59/12.86 tff(38804,plain,
% 17.59/12.86 ((~(v19(constB20) <=> (v20(constB20) | v21(constB20)))) | v19(constB20) | (~(v20(constB20) | v21(constB20)))),
% 17.59/12.86 inference(tautology,[status(thm)],[])).
% 17.59/12.86 tff(38805,plain,
% 17.59/12.86 (~(v20(constB20) | v21(constB20))),
% 17.59/12.86 inference(unit_resolution,[status(thm)],[38804, 38803, 38783])).
% 17.59/12.86 tff(38806,plain,
% 17.59/12.86 ((v20(constB20) | v21(constB20)) | (~v21(constB20))),
% 17.59/12.86 inference(tautology,[status(thm)],[])).
% 17.59/12.86 tff(38807,plain,
% 17.59/12.86 (~v21(constB20)),
% 17.59/12.86 inference(unit_resolution,[status(thm)],[38806, 38805])).
% 17.59/12.86 tff(38808,plain,
% 17.59/12.86 ((~((~v21(constB20)) <=> v6(constB20))) | v21(constB20) | v6(constB20)),
% 17.59/12.86 inference(tautology,[status(thm)],[])).
% 17.59/12.86 tff(38809,plain,
% 17.59/12.86 (v6(constB20)),
% 17.59/12.86 inference(unit_resolution,[status(thm)],[38808, 38807, 38781])).
% 17.59/12.86 tff(38810,plain,
% 17.59/12.86 ((~(v6(constB20) <=> v13(constB20))) | (~v6(constB20)) | v13(constB20)),
% 17.59/12.86 inference(tautology,[status(thm)],[])).
% 17.59/12.86 tff(38811,plain,
% 17.59/12.86 (v13(constB20)),
% 17.59/12.86 inference(unit_resolution,[status(thm)],[38810, 38809, 38779])).
% 17.59/12.86 tff(38812,plain,
% 17.59/12.86 ((~(v13(constB20) <=> v9(constB19))) | (~v13(constB20)) | v9(constB19)),
% 17.59/12.86 inference(tautology,[status(thm)],[])).
% 17.59/12.86 tff(38813,plain,
% 17.59/12.86 (v9(constB19)),
% 17.59/12.86 inference(unit_resolution,[status(thm)],[38812, 38811, 38777])).
% 17.59/12.86 tff(38814,plain,
% 17.59/12.86 ((~![VarCurr: $i] : ((~v39(VarCurr)) <=> v1(VarCurr))) | ((~v39(constB19)) <=> v1(constB19))),
% 17.59/12.86 inference(quant_inst,[status(thm)],[])).
% 17.59/12.86 tff(38815,plain,
% 17.59/12.86 ((~v39(constB19)) <=> v1(constB19)),
% 17.59/12.86 inference(unit_resolution,[status(thm)],[38814, 129])).
% 17.59/12.86 tff(38816,plain,
% 17.59/12.86 ((~((~v39(constB19)) <=> v1(constB19))) | v39(constB19) | v1(constB19)),
% 17.59/12.86 inference(tautology,[status(thm)],[])).
% 17.59/12.86 tff(38817,plain,
% 17.59/12.86 ((~((~v39(constB19)) <=> v1(constB19))) | v39(constB19)),
% 17.59/12.86 inference(unit_resolution,[status(thm)],[38816, 4092])).
% 17.59/12.86 tff(38818,plain,
% 17.59/12.86 (v39(constB19)),
% 17.59/12.86 inference(unit_resolution,[status(thm)],[38817, 38815])).
% 17.59/12.86 tff(38819,plain,
% 17.59/12.86 ((~((~v39(constB19)) | (~v9(constB19)))) | (~v39(constB19)) | (~v9(constB19))),
% 17.59/12.86 inference(tautology,[status(thm)],[])).
% 17.59/12.86 tff(38820,plain,
% 17.59/12.86 ((~((~v39(constB19)) | (~v9(constB19)))) | (~v9(constB19))),
% 17.59/12.86 inference(unit_resolution,[status(thm)],[38819, 38818])).
% 17.59/12.86 tff(38821,plain,
% 17.59/12.86 (~((~v39(constB19)) | (~v9(constB19)))),
% 17.59/12.86 inference(unit_resolution,[status(thm)],[38820, 38813])).
% 17.59/12.86 tff(38822,plain,
% 17.59/12.86 ((~(v197(constB19) <=> (~((~v39(constB19)) | (~v9(constB19)))))) | v197(constB19) | ((~v39(constB19)) | (~v9(constB19)))),
% 17.59/12.86 inference(tautology,[status(thm)],[])).
% 17.59/12.86 tff(38823,plain,
% 17.59/12.86 (v197(constB19)),
% 17.59/12.86 inference(unit_resolution,[status(thm)],[38822, 38821, 38773])).
% 17.59/12.86 tff(38824,plain,
% 17.59/12.86 ((v197(constB19) | v26(constB19)) | (~v197(constB19))),
% 17.59/12.86 inference(tautology,[status(thm)],[])).
% 17.59/12.86 tff(38825,plain,
% 17.59/12.86 (v197(constB19) | v26(constB19)),
% 17.59/12.86 inference(unit_resolution,[status(thm)],[38824, 38823])).
% 17.59/12.87 tff(38826,plain,
% 17.59/12.87 ((~(v196(constB19) <=> (v197(constB19) | v26(constB19)))) | v196(constB19) | (~(v197(constB19) | v26(constB19)))),
% 17.59/12.87 inference(tautology,[status(thm)],[])).
% 17.59/12.87 tff(38827,plain,
% 17.59/12.87 (v196(constB19)),
% 17.59/12.87 inference(unit_resolution,[status(thm)],[38826, 38825, 38771])).
% 17.59/12.87 tff(38828,plain,
% 17.59/12.87 ((~((~v195(constB19)) <=> v196(constB19))) | (~v195(constB19)) | (~v196(constB19))),
% 17.59/12.87 inference(tautology,[status(thm)],[])).
% 17.59/12.87 tff(38829,plain,
% 17.59/12.87 (~v195(constB19)),
% 17.59/12.87 inference(unit_resolution,[status(thm)],[38828, 38827, 38769])).
% 17.59/12.87 tff(38830,plain,
% 17.59/12.87 (((~v157(constB19)) | (~v195(constB19))) | v195(constB19)),
% 17.59/12.87 inference(tautology,[status(thm)],[])).
% 17.59/12.87 tff(38831,plain,
% 17.59/12.87 ((~v157(constB19)) | (~v195(constB19))),
% 17.59/12.87 inference(unit_resolution,[status(thm)],[38830, 38829])).
% 17.59/12.87 tff(38832,plain,
% 17.59/12.87 ((~(v194(constB19) <=> (~((~v157(constB19)) | (~v195(constB19)))))) | (~v194(constB19)) | (~((~v157(constB19)) | (~v195(constB19))))),
% 17.59/12.87 inference(tautology,[status(thm)],[])).
% 17.59/12.87 tff(38833,plain,
% 17.59/12.87 (~v194(constB19)),
% 17.59/12.87 inference(unit_resolution,[status(thm)],[38832, 38831, 38767])).
% 17.59/12.87 tff(38834,plain,
% 17.59/12.87 ((~![VarCurr: $i] : (v198(VarCurr) <=> (~((~v199(VarCurr)) | (~v200(VarCurr)))))) | (v198(constB19) <=> (~((~v199(constB19)) | (~v200(constB19)))))),
% 17.59/12.87 inference(quant_inst,[status(thm)],[])).
% 17.59/12.87 tff(38835,plain,
% 17.59/12.87 (v198(constB19) <=> (~((~v199(constB19)) | (~v200(constB19))))),
% 17.59/12.87 inference(unit_resolution,[status(thm)],[38834, 96])).
% 17.59/12.87 tff(38836,plain,
% 17.59/12.87 ((~![VarCurr: $i] : (v200(VarCurr) <=> (~((~v197(VarCurr)) | (~v201(VarCurr)))))) | (v200(constB19) <=> (~((~v197(constB19)) | (~v201(constB19)))))),
% 17.59/12.87 inference(quant_inst,[status(thm)],[])).
% 17.59/12.87 tff(38837,plain,
% 17.59/12.87 (v200(constB19) <=> (~((~v197(constB19)) | (~v201(constB19))))),
% 17.59/12.87 inference(unit_resolution,[status(thm)],[38836, 108])).
% 17.59/12.87 tff(38838,plain,
% 17.59/12.87 ((~![VarCurr: $i] : (v201(VarCurr) <=> (~((~v159(VarCurr)) | (~v161(VarCurr)))))) | (v201(constB19) <=> (~((~v159(constB19)) | (~v161(constB19)))))),
% 17.59/12.87 inference(quant_inst,[status(thm)],[])).
% 17.59/12.87 tff(38839,plain,
% 17.59/12.87 (v201(constB19) <=> (~((~v159(constB19)) | (~v161(constB19))))),
% 17.59/12.87 inference(unit_resolution,[status(thm)],[38838, 348])).
% 17.59/12.87 tff(38840,plain,
% 17.59/12.87 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v179(VarNext) <=> v180(VarNext)))) | ((~nextState(constB18, constB19)) | (v179(constB19) <=> v180(constB19)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v179(VarNext) <=> v180(VarNext)))) | (~nextState(constB18, constB19)) | (v179(constB19) <=> v180(constB19)))),
% 17.59/12.87 inference(rewrite,[status(thm)],[])).
% 17.59/12.87 tff(38841,plain,
% 17.59/12.87 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v179(VarNext) <=> v180(VarNext)))) | ((~nextState(constB18, constB19)) | (v179(constB19) <=> v180(constB19)))),
% 17.59/12.87 inference(quant_inst,[status(thm)],[])).
% 17.59/12.87 tff(38842,plain,
% 17.59/12.87 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v179(VarNext) <=> v180(VarNext)))) | (~nextState(constB18, constB19)) | (v179(constB19) <=> v180(constB19))),
% 17.59/12.87 inference(modus_ponens,[status(thm)],[38841, 38840])).
% 17.59/12.87 tff(38843,plain,
% 17.59/12.87 (v179(constB19) <=> v180(constB19)),
% 17.59/12.87 inference(unit_resolution,[status(thm)],[38842, 4133, 13536])).
% 17.59/12.87 tff(38844,plain,
% 17.59/12.87 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> (~((~v181(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB18, constB19)) | (v180(constB19) <=> (~((~v1(constB19)) | (~v181(constB19))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> (~((~v181(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB18, constB19)) | (v180(constB19) <=> (~((~v1(constB19)) | (~v181(constB19))))))),
% 17.59/12.87 inference(rewrite,[status(thm)],[])).
% 17.59/12.87 tff(38845,plain,
% 17.59/12.87 (((~nextState(constB18, constB19)) | (v180(constB19) <=> (~((~v181(constB19)) | (~v1(constB19)))))) <=> ((~nextState(constB18, constB19)) | (v180(constB19) <=> (~((~v1(constB19)) | (~v181(constB19))))))),
% 17.59/12.87 inference(rewrite,[status(thm)],[])).
% 17.59/12.87 tff(38846,plain,
% 17.59/12.87 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> (~((~v181(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB18, constB19)) | (v180(constB19) <=> (~((~v181(constB19)) | (~v1(constB19))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> (~((~v181(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB18, constB19)) | (v180(constB19) <=> (~((~v1(constB19)) | (~v181(constB19)))))))),
% 17.59/12.87 inference(monotonicity,[status(thm)],[38845])).
% 17.59/12.87 tff(38847,plain,
% 17.59/12.87 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> (~((~v181(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB18, constB19)) | (v180(constB19) <=> (~((~v181(constB19)) | (~v1(constB19))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> (~((~v181(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB18, constB19)) | (v180(constB19) <=> (~((~v1(constB19)) | (~v181(constB19))))))),
% 17.59/12.87 inference(transitivity,[status(thm)],[38846, 38844])).
% 17.59/12.87 tff(38848,plain,
% 17.59/12.87 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> (~((~v181(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB18, constB19)) | (v180(constB19) <=> (~((~v181(constB19)) | (~v1(constB19))))))),
% 17.59/12.87 inference(quant_inst,[status(thm)],[])).
% 17.59/12.87 tff(38849,plain,
% 17.59/12.87 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> (~((~v181(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB18, constB19)) | (v180(constB19) <=> (~((~v1(constB19)) | (~v181(constB19)))))),
% 17.59/12.87 inference(modus_ponens,[status(thm)],[38848, 38847])).
% 17.59/12.87 tff(38850,plain,
% 17.59/12.87 (v180(constB19) <=> (~((~v1(constB19)) | (~v181(constB19))))),
% 17.59/12.87 inference(unit_resolution,[status(thm)],[38849, 4133, 13556])).
% 17.59/12.87 tff(38851,plain,
% 17.59/12.87 (((~v1(constB19)) | (~v181(constB19))) | v1(constB19)),
% 17.59/12.87 inference(tautology,[status(thm)],[])).
% 17.59/12.87 tff(38852,plain,
% 17.59/12.87 ((~v1(constB19)) | (~v181(constB19))),
% 17.59/12.87 inference(unit_resolution,[status(thm)],[38851, 4092])).
% 17.59/12.87 tff(38853,plain,
% 17.59/12.87 ((~(v180(constB19) <=> (~((~v1(constB19)) | (~v181(constB19)))))) | (~v180(constB19)) | (~((~v1(constB19)) | (~v181(constB19))))),
% 17.59/12.87 inference(tautology,[status(thm)],[])).
% 17.59/12.87 tff(38854,plain,
% 17.59/12.87 ((~(v180(constB19) <=> (~((~v1(constB19)) | (~v181(constB19)))))) | (~v180(constB19))),
% 17.59/12.87 inference(unit_resolution,[status(thm)],[38853, 38852])).
% 17.59/12.87 tff(38855,plain,
% 17.59/12.87 (~v180(constB19)),
% 17.59/12.87 inference(unit_resolution,[status(thm)],[38854, 38850])).
% 17.59/12.87 tff(38856,plain,
% 17.59/12.87 ((~(v179(constB19) <=> v180(constB19))) | (~v179(constB19)) | v180(constB19)),
% 17.59/12.87 inference(tautology,[status(thm)],[])).
% 17.59/12.87 tff(38857,plain,
% 17.59/12.87 (~v179(constB19)),
% 17.59/12.87 inference(unit_resolution,[status(thm)],[38856, 38855, 38843])).
% 17.59/12.87 tff(38858,plain,
% 17.59/12.87 (((~![VarCurr: $i, VarNext: $i] : ((v159(VarNext) <=> v159(VarCurr)) | v179(VarNext) | (~nextState(VarCurr, VarNext)))) | ((~nextState(constB18, constB19)) | v179(constB19) | (v159(constB19) <=> v159(constB18)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((v159(VarNext) <=> v159(VarCurr)) | v179(VarNext) | (~nextState(VarCurr, VarNext)))) | (~nextState(constB18, constB19)) | v179(constB19) | (v159(constB19) <=> v159(constB18)))),
% 17.59/12.87 inference(rewrite,[status(thm)],[])).
% 17.59/12.87 tff(38859,plain,
% 17.59/12.87 (((v159(constB19) <=> v159(constB18)) | v179(constB19) | (~nextState(constB18, constB19))) <=> ((~nextState(constB18, constB19)) | v179(constB19) | (v159(constB19) <=> v159(constB18)))),
% 17.59/12.87 inference(rewrite,[status(thm)],[])).
% 17.59/12.87 tff(38860,plain,
% 17.59/12.87 (((~![VarCurr: $i, VarNext: $i] : ((v159(VarNext) <=> v159(VarCurr)) | v179(VarNext) | (~nextState(VarCurr, VarNext)))) | ((v159(constB19) <=> v159(constB18)) | v179(constB19) | (~nextState(constB18, constB19)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((v159(VarNext) <=> v159(VarCurr)) | v179(VarNext) | (~nextState(VarCurr, VarNext)))) | ((~nextState(constB18, constB19)) | v179(constB19) | (v159(constB19) <=> v159(constB18))))),
% 17.59/12.87 inference(monotonicity,[status(thm)],[38859])).
% 17.59/12.87 tff(38861,plain,
% 17.59/12.87 (((~![VarCurr: $i, VarNext: $i] : ((v159(VarNext) <=> v159(VarCurr)) | v179(VarNext) | (~nextState(VarCurr, VarNext)))) | ((v159(constB19) <=> v159(constB18)) | v179(constB19) | (~nextState(constB18, constB19)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((v159(VarNext) <=> v159(VarCurr)) | v179(VarNext) | (~nextState(VarCurr, VarNext)))) | (~nextState(constB18, constB19)) | v179(constB19) | (v159(constB19) <=> v159(constB18)))),
% 17.59/12.87 inference(transitivity,[status(thm)],[38860, 38858])).
% 17.59/12.87 tff(38862,plain,
% 17.59/12.87 ((~![VarCurr: $i, VarNext: $i] : ((v159(VarNext) <=> v159(VarCurr)) | v179(VarNext) | (~nextState(VarCurr, VarNext)))) | ((v159(constB19) <=> v159(constB18)) | v179(constB19) | (~nextState(constB18, constB19)))),
% 17.59/12.87 inference(quant_inst,[status(thm)],[])).
% 17.59/12.87 tff(38863,plain,
% 17.59/12.87 ((~![VarCurr: $i, VarNext: $i] : ((v159(VarNext) <=> v159(VarCurr)) | v179(VarNext) | (~nextState(VarCurr, VarNext)))) | (~nextState(constB18, constB19)) | v179(constB19) | (v159(constB19) <=> v159(constB18))),
% 17.59/12.87 inference(modus_ponens,[status(thm)],[38862, 38861])).
% 17.59/12.87 tff(38864,plain,
% 17.59/12.87 (v179(constB19) | (v159(constB19) <=> v159(constB18))),
% 17.59/12.87 inference(unit_resolution,[status(thm)],[38863, 4133, 13580])).
% 17.59/12.87 tff(38865,plain,
% 17.59/12.87 (v159(constB19) <=> v159(constB18)),
% 17.59/12.87 inference(unit_resolution,[status(thm)],[38864, 38857])).
% 17.59/12.87 tff(38866,plain,
% 17.59/12.87 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v179(VarNext) <=> v180(VarNext)))) | ((~nextState(constB17, constB18)) | (v179(constB18) <=> v180(constB18)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v179(VarNext) <=> v180(VarNext)))) | (~nextState(constB17, constB18)) | (v179(constB18) <=> v180(constB18)))),
% 17.59/12.87 inference(rewrite,[status(thm)],[])).
% 17.59/12.87 tff(38867,plain,
% 17.59/12.87 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v179(VarNext) <=> v180(VarNext)))) | ((~nextState(constB17, constB18)) | (v179(constB18) <=> v180(constB18)))),
% 17.59/12.87 inference(quant_inst,[status(thm)],[])).
% 17.59/12.87 tff(38868,plain,
% 17.59/12.87 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v179(VarNext) <=> v180(VarNext)))) | (~nextState(constB17, constB18)) | (v179(constB18) <=> v180(constB18))),
% 17.59/12.87 inference(modus_ponens,[status(thm)],[38867, 38866])).
% 17.59/12.87 tff(38869,plain,
% 17.59/12.87 (v179(constB18) <=> v180(constB18)),
% 17.59/12.87 inference(unit_resolution,[status(thm)],[38868, 4165, 13536])).
% 17.59/12.87 tff(38870,plain,
% 17.59/12.87 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> (~((~v181(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB17, constB18)) | (v180(constB18) <=> (~((~v1(constB18)) | (~v181(constB18))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> (~((~v181(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB17, constB18)) | (v180(constB18) <=> (~((~v1(constB18)) | (~v181(constB18))))))),
% 17.59/12.87 inference(rewrite,[status(thm)],[])).
% 17.59/12.87 tff(38871,plain,
% 17.59/12.87 (((~nextState(constB17, constB18)) | (v180(constB18) <=> (~((~v181(constB18)) | (~v1(constB18)))))) <=> ((~nextState(constB17, constB18)) | (v180(constB18) <=> (~((~v1(constB18)) | (~v181(constB18))))))),
% 17.59/12.87 inference(rewrite,[status(thm)],[])).
% 17.59/12.87 tff(38872,plain,
% 17.59/12.87 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> (~((~v181(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB17, constB18)) | (v180(constB18) <=> (~((~v181(constB18)) | (~v1(constB18))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> (~((~v181(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB17, constB18)) | (v180(constB18) <=> (~((~v1(constB18)) | (~v181(constB18)))))))),
% 17.59/12.87 inference(monotonicity,[status(thm)],[38871])).
% 17.59/12.87 tff(38873,plain,
% 17.59/12.87 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> (~((~v181(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB17, constB18)) | (v180(constB18) <=> (~((~v181(constB18)) | (~v1(constB18))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> (~((~v181(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB17, constB18)) | (v180(constB18) <=> (~((~v1(constB18)) | (~v181(constB18))))))),
% 17.59/12.87 inference(transitivity,[status(thm)],[38872, 38870])).
% 17.59/12.87 tff(38874,plain,
% 17.59/12.87 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> (~((~v181(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB17, constB18)) | (v180(constB18) <=> (~((~v181(constB18)) | (~v1(constB18))))))),
% 17.59/12.87 inference(quant_inst,[status(thm)],[])).
% 17.59/12.87 tff(38875,plain,
% 17.59/12.87 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> (~((~v181(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB17, constB18)) | (v180(constB18) <=> (~((~v1(constB18)) | (~v181(constB18)))))),
% 17.59/12.87 inference(modus_ponens,[status(thm)],[38874, 38873])).
% 17.59/12.87 tff(38876,plain,
% 17.59/12.87 (v180(constB18) <=> (~((~v1(constB18)) | (~v181(constB18))))),
% 17.59/12.87 inference(unit_resolution,[status(thm)],[38875, 4165, 13556])).
% 17.59/12.87 tff(38877,plain,
% 17.59/12.87 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v181(VarNext)) <=> v104(VarNext)))) | ((~nextState(constB17, constB18)) | ((~v181(constB18)) <=> v104(constB18)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v181(VarNext)) <=> v104(VarNext)))) | (~nextState(constB17, constB18)) | ((~v181(constB18)) <=> v104(constB18)))),
% 17.59/12.87 inference(rewrite,[status(thm)],[])).
% 17.59/12.87 tff(38878,plain,
% 17.59/12.87 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v181(VarNext)) <=> v104(VarNext)))) | ((~nextState(constB17, constB18)) | ((~v181(constB18)) <=> v104(constB18)))),
% 17.59/12.87 inference(quant_inst,[status(thm)],[])).
% 17.59/12.87 tff(38879,plain,
% 17.59/12.87 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v181(VarNext)) <=> v104(VarNext)))) | (~nextState(constB17, constB18)) | ((~v181(constB18)) <=> v104(constB18))),
% 17.59/12.87 inference(modus_ponens,[status(thm)],[38878, 38877])).
% 17.59/12.87 tff(38880,plain,
% 17.59/12.87 ((~v181(constB18)) <=> v104(constB18)),
% 17.59/12.87 inference(unit_resolution,[status(thm)],[38879, 4165, 13612])).
% 17.59/12.87 tff(38881,plain,
% 17.59/12.87 ((~((~v181(constB18)) <=> v104(constB18))) | v181(constB18) | v104(constB18)),
% 17.59/12.87 inference(tautology,[status(thm)],[])).
% 17.59/12.87 tff(38882,plain,
% 17.59/12.87 (v181(constB18)),
% 17.59/12.87 inference(unit_resolution,[status(thm)],[38881, 4190, 38880])).
% 17.59/12.87 tff(38883,plain,
% 17.59/12.87 ((~((~v1(constB18)) | (~v181(constB18)))) | (~v1(constB18)) | (~v181(constB18))),
% 17.59/12.87 inference(tautology,[status(thm)],[])).
% 17.59/12.87 tff(38884,plain,
% 17.59/12.87 ((~((~v1(constB18)) | (~v181(constB18)))) | (~v181(constB18))),
% 17.59/12.87 inference(unit_resolution,[status(thm)],[38883, 4195])).
% 17.59/12.87 tff(38885,plain,
% 17.59/12.87 (~((~v1(constB18)) | (~v181(constB18)))),
% 17.59/12.87 inference(unit_resolution,[status(thm)],[38884, 38882])).
% 17.59/12.87 tff(38886,plain,
% 17.59/12.87 ((~(v180(constB18) <=> (~((~v1(constB18)) | (~v181(constB18)))))) | v180(constB18) | ((~v1(constB18)) | (~v181(constB18)))),
% 17.59/12.87 inference(tautology,[status(thm)],[])).
% 17.59/12.87 tff(38887,plain,
% 17.59/12.87 (v180(constB18)),
% 17.59/12.87 inference(unit_resolution,[status(thm)],[38886, 38885, 38876])).
% 17.59/12.87 tff(38888,plain,
% 17.59/12.87 ((~(v179(constB18) <=> v180(constB18))) | v179(constB18) | (~v180(constB18))),
% 17.59/12.87 inference(tautology,[status(thm)],[])).
% 17.59/12.87 tff(38889,plain,
% 17.59/12.87 (v179(constB18)),
% 17.59/12.87 inference(unit_resolution,[status(thm)],[38888, 38887, 38869])).
% 17.59/12.87 tff(38890,plain,
% 17.59/12.87 (((~![VarNext: $i] : ((~v179(VarNext)) | (v159(VarNext) <=> v186(VarNext)))) | ((~v179(constB18)) | (v159(constB18) <=> v186(constB18)))) <=> ((~![VarNext: $i] : ((~v179(VarNext)) | (v159(VarNext) <=> v186(VarNext)))) | (~v179(constB18)) | (v159(constB18) <=> v186(constB18)))),
% 17.59/12.87 inference(rewrite,[status(thm)],[])).
% 17.59/12.87 tff(38891,plain,
% 17.59/12.87 ((~![VarNext: $i] : ((~v179(VarNext)) | (v159(VarNext) <=> v186(VarNext)))) | ((~v179(constB18)) | (v159(constB18) <=> v186(constB18)))),
% 17.59/12.87 inference(quant_inst,[status(thm)],[])).
% 17.59/12.87 tff(38892,plain,
% 17.59/12.87 ((~![VarNext: $i] : ((~v179(VarNext)) | (v159(VarNext) <=> v186(VarNext)))) | (~v179(constB18)) | (v159(constB18) <=> v186(constB18))),
% 17.59/12.87 inference(modus_ponens,[status(thm)],[38891, 38890])).
% 17.59/12.87 tff(38893,plain,
% 17.59/12.87 (v159(constB18) <=> v186(constB18)),
% 17.59/12.87 inference(unit_resolution,[status(thm)],[38892, 13648, 38889])).
% 17.59/12.87 tff(38894,plain,
% 17.59/12.87 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v186(VarNext) <=> v161(VarCurr)))) | ((~nextState(constB17, constB18)) | (v186(constB18) <=> v161(constB17)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v186(VarNext) <=> v161(VarCurr)))) | (~nextState(constB17, constB18)) | (v186(constB18) <=> v161(constB17)))),
% 17.59/12.87 inference(rewrite,[status(thm)],[])).
% 17.59/12.87 tff(38895,plain,
% 17.59/12.87 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v186(VarNext) <=> v161(VarCurr)))) | ((~nextState(constB17, constB18)) | (v186(constB18) <=> v161(constB17)))),
% 17.59/12.87 inference(quant_inst,[status(thm)],[])).
% 17.59/12.87 tff(38896,plain,
% 17.59/12.87 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v186(VarNext) <=> v161(VarCurr)))) | (~nextState(constB17, constB18)) | (v186(constB18) <=> v161(constB17))),
% 17.59/12.87 inference(modus_ponens,[status(thm)],[38895, 38894])).
% 17.59/12.87 tff(38897,plain,
% 17.59/12.87 (v186(constB18) <=> v161(constB17)),
% 17.59/12.87 inference(unit_resolution,[status(thm)],[38896, 4165, 13662])).
% 17.59/12.87 tff(38898,plain,
% 17.59/12.87 ((~![VarCurr: $i] : (v161(VarCurr) <=> v163(VarCurr))) | (v161(constB17) <=> v163(constB17))),
% 17.59/12.87 inference(quant_inst,[status(thm)],[])).
% 17.59/12.87 tff(38899,plain,
% 17.59/12.87 (v161(constB17) <=> v163(constB17)),
% 17.59/12.87 inference(unit_resolution,[status(thm)],[38898, 357])).
% 17.59/12.87 tff(38900,plain,
% 17.59/12.87 ((~![VarCurr: $i] : (v171(VarCurr) <=> (v142(VarCurr) | v150(VarCurr)))) | (v171(constB17) <=> (v142(constB17) | v150(constB17)))),
% 17.59/12.87 inference(quant_inst,[status(thm)],[])).
% 17.59/12.87 tff(38901,plain,
% 17.59/12.87 (v171(constB17) <=> (v142(constB17) | v150(constB17))),
% 17.59/12.87 inference(unit_resolution,[status(thm)],[38900, 369])).
% 17.59/12.87 tff(38902,plain,
% 17.59/12.87 ((~![VarCurr: $i] : (v150(VarCurr) <=> (v141(VarCurr) | v151(VarCurr)))) | (v150(constB17) <=> (v141(constB17) | v151(constB17)))),
% 17.59/12.87 inference(quant_inst,[status(thm)],[])).
% 17.59/12.87 tff(38903,plain,
% 17.59/12.87 (v150(constB17) <=> (v141(constB17) | v151(constB17))),
% 17.59/12.87 inference(unit_resolution,[status(thm)],[38902, 13680])).
% 17.59/12.87 tff(38904,plain,
% 17.59/12.87 ((~![VarCurr: $i] : (v151(VarCurr) <=> (v139(VarCurr) | v140(VarCurr)))) | (v151(constB17) <=> (v139(constB17) | v140(constB17)))),
% 17.59/12.87 inference(quant_inst,[status(thm)],[])).
% 17.59/12.87 tff(38905,plain,
% 17.59/12.87 (v151(constB17) <=> (v139(constB17) | v140(constB17))),
% 17.59/12.87 inference(unit_resolution,[status(thm)],[38904, 13689])).
% 17.59/12.87 tff(38906,plain,
% 17.59/12.87 (((~![VarCurr: $i] : (v140(VarCurr) <=> (~(v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex0)))))) | (v140(constB17) <=> (~(v88(constB17, bitIndex2) | v88(constB17, bitIndex1) | (~v88(constB17, bitIndex0)))))) <=> ((~![VarCurr: $i] : (v140(VarCurr) <=> (~(v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex0)))))) | (v140(constB17) <=> (~(v88(constB17, bitIndex2) | v88(constB17, bitIndex1) | (~v88(constB17, bitIndex0))))))),
% 17.59/12.87 inference(rewrite,[status(thm)],[])).
% 17.59/12.87 tff(38907,plain,
% 17.59/12.87 ((v140(constB17) <=> (~(v88(constB17, bitIndex1) | v88(constB17, bitIndex2) | (~v88(constB17, bitIndex0))))) <=> (v140(constB17) <=> (~(v88(constB17, bitIndex2) | v88(constB17, bitIndex1) | (~v88(constB17, bitIndex0)))))),
% 17.59/12.87 inference(rewrite,[status(thm)],[])).
% 17.59/12.87 tff(38908,plain,
% 17.59/12.87 (((~![VarCurr: $i] : (v140(VarCurr) <=> (~(v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex0)))))) | (v140(constB17) <=> (~(v88(constB17, bitIndex1) | v88(constB17, bitIndex2) | (~v88(constB17, bitIndex0)))))) <=> ((~![VarCurr: $i] : (v140(VarCurr) <=> (~(v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex0)))))) | (v140(constB17) <=> (~(v88(constB17, bitIndex2) | v88(constB17, bitIndex1) | (~v88(constB17, bitIndex0))))))),
% 17.59/12.87 inference(monotonicity,[status(thm)],[38907])).
% 17.59/12.87 tff(38909,plain,
% 17.59/12.87 (((~![VarCurr: $i] : (v140(VarCurr) <=> (~(v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex0)))))) | (v140(constB17) <=> (~(v88(constB17, bitIndex1) | v88(constB17, bitIndex2) | (~v88(constB17, bitIndex0)))))) <=> ((~![VarCurr: $i] : (v140(VarCurr) <=> (~(v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex0)))))) | (v140(constB17) <=> (~(v88(constB17, bitIndex2) | v88(constB17, bitIndex1) | (~v88(constB17, bitIndex0))))))),
% 17.59/12.88 inference(transitivity,[status(thm)],[38908, 38906])).
% 17.59/12.88 tff(38910,plain,
% 17.59/12.88 ((~![VarCurr: $i] : (v140(VarCurr) <=> (~(v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex0)))))) | (v140(constB17) <=> (~(v88(constB17, bitIndex1) | v88(constB17, bitIndex2) | (~v88(constB17, bitIndex0)))))),
% 17.59/12.88 inference(quant_inst,[status(thm)],[])).
% 17.59/12.88 tff(38911,plain,
% 17.59/12.88 ((~![VarCurr: $i] : (v140(VarCurr) <=> (~(v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex0)))))) | (v140(constB17) <=> (~(v88(constB17, bitIndex2) | v88(constB17, bitIndex1) | (~v88(constB17, bitIndex0)))))),
% 17.59/12.88 inference(modus_ponens,[status(thm)],[38910, 38909])).
% 17.59/12.88 tff(38912,plain,
% 17.59/12.88 (v140(constB17) <=> (~(v88(constB17, bitIndex2) | v88(constB17, bitIndex1) | (~v88(constB17, bitIndex0))))),
% 17.59/12.88 inference(unit_resolution,[status(thm)],[38911, 13704])).
% 17.59/12.88 tff(38913,plain,
% 17.59/12.88 (((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | ((~less_3(bitIndex2)) | (v88(constB17, bitIndex2) <=> v90(constB17, bitIndex2)))) <=> ((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | (~less_3(bitIndex2)) | (v88(constB17, bitIndex2) <=> v90(constB17, bitIndex2)))),
% 17.59/12.88 inference(rewrite,[status(thm)],[])).
% 17.59/12.88 tff(38914,plain,
% 17.59/12.88 ((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | ((~less_3(bitIndex2)) | (v88(constB17, bitIndex2) <=> v90(constB17, bitIndex2)))),
% 17.59/12.88 inference(quant_inst,[status(thm)],[])).
% 17.59/12.88 tff(38915,plain,
% 17.59/12.88 ((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | (~less_3(bitIndex2)) | (v88(constB17, bitIndex2) <=> v90(constB17, bitIndex2))),
% 17.59/12.88 inference(modus_ponens,[status(thm)],[38914, 38913])).
% 17.59/12.88 tff(38916,plain,
% 17.59/12.88 (v88(constB17, bitIndex2) <=> v90(constB17, bitIndex2)),
% 17.59/12.88 inference(unit_resolution,[status(thm)],[38915, 413, 410])).
% 17.59/12.88 tff(38917,plain,
% 17.59/12.88 ((~(v88(constB17, bitIndex2) <=> v90(constB17, bitIndex2))) | (~v88(constB17, bitIndex2)) | v90(constB17, bitIndex2)),
% 17.59/12.88 inference(tautology,[status(thm)],[])).
% 17.59/12.88 tff(38918,plain,
% 17.59/12.88 (~v88(constB17, bitIndex2)),
% 17.59/12.88 inference(unit_resolution,[status(thm)],[38917, 6529, 38916])).
% 17.59/12.88 tff(38919,plain,
% 17.59/12.88 (((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | ((~less_3(bitIndex0)) | (v88(constB17, bitIndex0) <=> v90(constB17, bitIndex0)))) <=> ((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | (~less_3(bitIndex0)) | (v88(constB17, bitIndex0) <=> v90(constB17, bitIndex0)))),
% 17.59/12.88 inference(rewrite,[status(thm)],[])).
% 17.59/12.88 tff(38920,plain,
% 17.59/12.88 ((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | ((~less_3(bitIndex0)) | (v88(constB17, bitIndex0) <=> v90(constB17, bitIndex0)))),
% 17.59/12.88 inference(quant_inst,[status(thm)],[])).
% 17.59/12.88 tff(38921,plain,
% 17.59/12.88 ((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | (~less_3(bitIndex0)) | (v88(constB17, bitIndex0) <=> v90(constB17, bitIndex0))),
% 17.59/12.88 inference(modus_ponens,[status(thm)],[38920, 38919])).
% 17.59/12.88 tff(38922,plain,
% 17.59/12.88 (v88(constB17, bitIndex0) <=> v90(constB17, bitIndex0)),
% 17.59/12.88 inference(unit_resolution,[status(thm)],[38921, 5004, 410])).
% 17.59/12.88 tff(38923,plain,
% 17.59/12.88 ((~(v88(constB17, bitIndex0) <=> v90(constB17, bitIndex0))) | v88(constB17, bitIndex0) | (~v90(constB17, bitIndex0))),
% 17.59/12.88 inference(tautology,[status(thm)],[])).
% 17.59/12.88 tff(38924,plain,
% 17.59/12.88 (v88(constB17, bitIndex0)),
% 17.59/12.88 inference(unit_resolution,[status(thm)],[38923, 6560, 38922])).
% 17.59/12.88 tff(38925,plain,
% 17.59/12.88 (((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | ((~less_3(bitIndex1)) | (v88(constB17, bitIndex1) <=> v90(constB17, bitIndex1)))) <=> ((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | (~less_3(bitIndex1)) | (v88(constB17, bitIndex1) <=> v90(constB17, bitIndex1)))),
% 17.59/12.88 inference(rewrite,[status(thm)],[])).
% 17.59/12.88 tff(38926,plain,
% 17.59/12.88 ((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | ((~less_3(bitIndex1)) | (v88(constB17, bitIndex1) <=> v90(constB17, bitIndex1)))),
% 17.59/12.88 inference(quant_inst,[status(thm)],[])).
% 17.59/12.88 tff(38927,plain,
% 17.59/12.88 ((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | (~less_3(bitIndex1)) | (v88(constB17, bitIndex1) <=> v90(constB17, bitIndex1))),
% 17.59/12.88 inference(modus_ponens,[status(thm)],[38926, 38925])).
% 17.59/12.88 tff(38928,plain,
% 17.59/12.88 (v88(constB17, bitIndex1) <=> v90(constB17, bitIndex1)),
% 17.59/12.88 inference(unit_resolution,[status(thm)],[38927, 5017, 410])).
% 17.59/12.88 tff(38929,plain,
% 17.59/12.88 ((~(v88(constB17, bitIndex1) <=> v90(constB17, bitIndex1))) | (~v88(constB17, bitIndex1)) | v90(constB17, bitIndex1)),
% 17.59/12.88 inference(tautology,[status(thm)],[])).
% 17.59/12.88 tff(38930,plain,
% 17.59/12.88 (~v88(constB17, bitIndex1)),
% 17.59/12.88 inference(unit_resolution,[status(thm)],[38929, 6591, 38928])).
% 17.59/12.88 tff(38931,plain,
% 17.59/12.88 ((~(v88(constB17, bitIndex2) | v88(constB17, bitIndex1) | (~v88(constB17, bitIndex0)))) | v88(constB17, bitIndex2) | v88(constB17, bitIndex1) | (~v88(constB17, bitIndex0))),
% 17.59/12.88 inference(tautology,[status(thm)],[])).
% 17.59/12.88 tff(38932,plain,
% 17.59/12.88 (~(v88(constB17, bitIndex2) | v88(constB17, bitIndex1) | (~v88(constB17, bitIndex0)))),
% 17.59/12.88 inference(unit_resolution,[status(thm)],[38931, 38930, 38924, 38918])).
% 17.59/12.88 tff(38933,plain,
% 17.59/12.88 ((~(v140(constB17) <=> (~(v88(constB17, bitIndex2) | v88(constB17, bitIndex1) | (~v88(constB17, bitIndex0)))))) | v140(constB17) | (v88(constB17, bitIndex2) | v88(constB17, bitIndex1) | (~v88(constB17, bitIndex0)))),
% 17.59/12.88 inference(tautology,[status(thm)],[])).
% 17.59/12.88 tff(38934,plain,
% 17.59/12.88 (v140(constB17)),
% 17.59/12.88 inference(unit_resolution,[status(thm)],[38933, 38932, 38912])).
% 17.59/12.88 tff(38935,plain,
% 17.59/12.88 ((v139(constB17) | v140(constB17)) | (~v140(constB17))),
% 17.59/12.88 inference(tautology,[status(thm)],[])).
% 17.59/12.88 tff(38936,plain,
% 17.59/12.88 (v139(constB17) | v140(constB17)),
% 17.59/12.88 inference(unit_resolution,[status(thm)],[38935, 38934])).
% 17.59/12.88 tff(38937,plain,
% 17.59/12.88 ((~(v151(constB17) <=> (v139(constB17) | v140(constB17)))) | v151(constB17) | (~(v139(constB17) | v140(constB17)))),
% 17.59/12.88 inference(tautology,[status(thm)],[])).
% 17.59/12.88 tff(38938,plain,
% 17.59/12.88 (v151(constB17)),
% 17.59/12.88 inference(unit_resolution,[status(thm)],[38937, 38936, 38905])).
% 17.59/12.88 tff(38939,plain,
% 17.59/12.88 ((v141(constB17) | v151(constB17)) | (~v151(constB17))),
% 17.59/12.88 inference(tautology,[status(thm)],[])).
% 17.59/12.88 tff(38940,plain,
% 17.59/12.88 (v141(constB17) | v151(constB17)),
% 17.59/12.88 inference(unit_resolution,[status(thm)],[38939, 38938])).
% 17.59/12.88 tff(38941,plain,
% 17.59/12.88 ((~(v150(constB17) <=> (v141(constB17) | v151(constB17)))) | v150(constB17) | (~(v141(constB17) | v151(constB17)))),
% 17.59/12.88 inference(tautology,[status(thm)],[])).
% 17.59/12.88 tff(38942,plain,
% 17.59/12.88 (v150(constB17)),
% 17.59/12.88 inference(unit_resolution,[status(thm)],[38941, 38940, 38903])).
% 17.59/12.88 tff(38943,plain,
% 17.59/12.88 ((v142(constB17) | v150(constB17)) | (~v150(constB17))),
% 17.59/12.88 inference(tautology,[status(thm)],[])).
% 17.59/12.88 tff(38944,plain,
% 17.59/12.88 (v142(constB17) | v150(constB17)),
% 17.59/12.88 inference(unit_resolution,[status(thm)],[38943, 38942])).
% 17.59/12.88 tff(38945,plain,
% 17.59/12.88 ((~(v171(constB17) <=> (v142(constB17) | v150(constB17)))) | v171(constB17) | (~(v142(constB17) | v150(constB17)))),
% 17.59/12.88 inference(tautology,[status(thm)],[])).
% 17.59/12.88 tff(38946,plain,
% 17.59/12.88 (v171(constB17)),
% 17.59/12.88 inference(unit_resolution,[status(thm)],[38945, 38944, 38901])).
% 17.59/12.88 tff(38947,plain,
% 17.59/12.88 (((~![VarCurr: $i] : ((~v171(VarCurr)) | (~v170(VarCurr)))) | ((~v170(constB17)) | (~v171(constB17)))) <=> ((~![VarCurr: $i] : ((~v171(VarCurr)) | (~v170(VarCurr)))) | (~v170(constB17)) | (~v171(constB17)))),
% 17.59/12.88 inference(rewrite,[status(thm)],[])).
% 17.59/12.88 tff(38948,plain,
% 17.59/12.88 (((~v171(constB17)) | (~v170(constB17))) <=> ((~v170(constB17)) | (~v171(constB17)))),
% 17.59/12.88 inference(rewrite,[status(thm)],[])).
% 17.59/12.88 tff(38949,plain,
% 17.59/12.88 (((~![VarCurr: $i] : ((~v171(VarCurr)) | (~v170(VarCurr)))) | ((~v171(constB17)) | (~v170(constB17)))) <=> ((~![VarCurr: $i] : ((~v171(VarCurr)) | (~v170(VarCurr)))) | ((~v170(constB17)) | (~v171(constB17))))),
% 17.59/12.88 inference(monotonicity,[status(thm)],[38948])).
% 17.59/12.88 tff(38950,plain,
% 17.59/12.88 (((~![VarCurr: $i] : ((~v171(VarCurr)) | (~v170(VarCurr)))) | ((~v171(constB17)) | (~v170(constB17)))) <=> ((~![VarCurr: $i] : ((~v171(VarCurr)) | (~v170(VarCurr)))) | (~v170(constB17)) | (~v171(constB17)))),
% 17.59/12.88 inference(transitivity,[status(thm)],[38949, 38947])).
% 17.59/12.88 tff(38951,plain,
% 17.59/12.88 ((~![VarCurr: $i] : ((~v171(VarCurr)) | (~v170(VarCurr)))) | ((~v171(constB17)) | (~v170(constB17)))),
% 17.59/12.88 inference(quant_inst,[status(thm)],[])).
% 17.59/12.88 tff(38952,plain,
% 17.59/12.88 ((~![VarCurr: $i] : ((~v171(VarCurr)) | (~v170(VarCurr)))) | (~v170(constB17)) | (~v171(constB17))),
% 17.59/12.88 inference(modus_ponens,[status(thm)],[38951, 38950])).
% 17.59/12.88 tff(38953,plain,
% 17.59/12.88 ((~v170(constB17)) | (~v171(constB17))),
% 17.59/12.88 inference(unit_resolution,[status(thm)],[38952, 13061])).
% 17.59/12.88 tff(38954,plain,
% 17.59/12.88 (~v170(constB17)),
% 17.59/12.88 inference(unit_resolution,[status(thm)],[38953, 38946])).
% 17.59/12.88 tff(38955,plain,
% 17.59/12.88 ((~![VarCurr: $i] : (v166(VarCurr) <=> (v145(VarCurr) | v167(VarCurr)))) | (v166(constB17) <=> (v145(constB17) | v167(constB17)))),
% 17.59/12.88 inference(quant_inst,[status(thm)],[])).
% 17.59/12.88 tff(38956,plain,
% 17.59/12.88 (v166(constB17) <=> (v145(constB17) | v167(constB17))),
% 17.59/12.88 inference(unit_resolution,[status(thm)],[38955, 13079])).
% 17.59/12.88 tff(38957,plain,
% 17.59/12.88 ((~![VarCurr: $i] : (v167(VarCurr) <=> (v142(VarCurr) | v168(VarCurr)))) | (v167(constB17) <=> (v142(constB17) | v168(constB17)))),
% 17.59/12.88 inference(quant_inst,[status(thm)],[])).
% 17.59/12.88 tff(38958,plain,
% 17.59/12.88 (v167(constB17) <=> (v142(constB17) | v168(constB17))),
% 17.59/12.88 inference(unit_resolution,[status(thm)],[38957, 13091])).
% 17.59/12.88 tff(38959,plain,
% 17.59/12.88 ((~![VarCurr: $i] : (v168(VarCurr) <=> (v141(VarCurr) | v169(VarCurr)))) | (v168(constB17) <=> (v141(constB17) | v169(constB17)))),
% 17.59/12.88 inference(quant_inst,[status(thm)],[])).
% 17.59/12.88 tff(38960,plain,
% 17.59/12.88 (v168(constB17) <=> (v141(constB17) | v169(constB17))),
% 17.59/12.88 inference(unit_resolution,[status(thm)],[38959, 20513])).
% 17.59/12.88 tff(38961,plain,
% 17.59/12.88 ((~![VarCurr: $i] : (v169(VarCurr) <=> (v139(VarCurr) | v140(VarCurr)))) | (v169(constB17) <=> (v139(constB17) | v140(constB17)))),
% 17.59/12.88 inference(quant_inst,[status(thm)],[])).
% 17.59/12.88 tff(38962,plain,
% 17.59/12.88 (v169(constB17) <=> (v139(constB17) | v140(constB17))),
% 17.59/12.88 inference(unit_resolution,[status(thm)],[38961, 20522])).
% 17.59/12.88 tff(38963,plain,
% 17.59/12.88 ((~(v169(constB17) <=> (v139(constB17) | v140(constB17)))) | v169(constB17) | (~(v139(constB17) | v140(constB17)))),
% 17.59/12.88 inference(tautology,[status(thm)],[])).
% 17.59/12.88 tff(38964,plain,
% 17.59/12.88 (v169(constB17)),
% 17.59/12.88 inference(unit_resolution,[status(thm)],[38963, 38936, 38962])).
% 17.59/12.88 tff(38965,plain,
% 17.59/12.88 ((v141(constB17) | v169(constB17)) | (~v169(constB17))),
% 17.59/12.88 inference(tautology,[status(thm)],[])).
% 17.59/12.88 tff(38966,plain,
% 17.59/12.88 (v141(constB17) | v169(constB17)),
% 17.59/12.88 inference(unit_resolution,[status(thm)],[38965, 38964])).
% 17.59/12.88 tff(38967,plain,
% 17.59/12.88 ((~(v168(constB17) <=> (v141(constB17) | v169(constB17)))) | v168(constB17) | (~(v141(constB17) | v169(constB17)))),
% 17.59/12.88 inference(tautology,[status(thm)],[])).
% 17.59/12.88 tff(38968,plain,
% 17.59/12.88 (v168(constB17)),
% 17.59/12.88 inference(unit_resolution,[status(thm)],[38967, 38966, 38960])).
% 17.59/12.88 tff(38969,plain,
% 17.59/12.88 ((v142(constB17) | v168(constB17)) | (~v168(constB17))),
% 17.59/12.88 inference(tautology,[status(thm)],[])).
% 17.59/12.88 tff(38970,plain,
% 17.59/12.88 (v142(constB17) | v168(constB17)),
% 17.59/12.88 inference(unit_resolution,[status(thm)],[38969, 38968])).
% 17.59/12.88 tff(38971,plain,
% 17.59/12.88 ((~(v167(constB17) <=> (v142(constB17) | v168(constB17)))) | v167(constB17) | (~(v142(constB17) | v168(constB17)))),
% 17.59/12.88 inference(tautology,[status(thm)],[])).
% 17.59/12.88 tff(38972,plain,
% 17.59/12.88 (v167(constB17)),
% 17.59/12.88 inference(unit_resolution,[status(thm)],[38971, 38970, 38958])).
% 17.59/12.88 tff(38973,plain,
% 17.59/12.88 ((v145(constB17) | v167(constB17)) | (~v167(constB17))),
% 17.59/12.88 inference(tautology,[status(thm)],[])).
% 17.59/12.88 tff(38974,plain,
% 17.59/12.88 (v145(constB17) | v167(constB17)),
% 17.59/12.88 inference(unit_resolution,[status(thm)],[38973, 38972])).
% 17.59/12.88 tff(38975,plain,
% 17.59/12.88 ((~(v166(constB17) <=> (v145(constB17) | v167(constB17)))) | v166(constB17) | (~(v145(constB17) | v167(constB17)))),
% 17.59/12.88 inference(tautology,[status(thm)],[])).
% 17.59/12.88 tff(38976,plain,
% 17.59/12.88 (v166(constB17)),
% 17.59/12.88 inference(unit_resolution,[status(thm)],[38975, 38974, 38956])).
% 17.59/12.88 tff(38977,plain,
% 17.59/12.88 (((~![VarNext: $i] : ((~v166(VarNext)) | (v163(VarNext) <=> v170(VarNext)))) | ((~v166(constB17)) | (v163(constB17) <=> v170(constB17)))) <=> ((~![VarNext: $i] : ((~v166(VarNext)) | (v163(VarNext) <=> v170(VarNext)))) | (~v166(constB17)) | (v163(constB17) <=> v170(constB17)))),
% 17.59/12.88 inference(rewrite,[status(thm)],[])).
% 17.59/12.88 tff(38978,plain,
% 17.59/12.88 ((~![VarNext: $i] : ((~v166(VarNext)) | (v163(VarNext) <=> v170(VarNext)))) | ((~v166(constB17)) | (v163(constB17) <=> v170(constB17)))),
% 17.59/12.88 inference(quant_inst,[status(thm)],[])).
% 17.59/12.88 tff(38979,plain,
% 17.59/12.88 ((~![VarNext: $i] : ((~v166(VarNext)) | (v163(VarNext) <=> v170(VarNext)))) | (~v166(constB17)) | (v163(constB17) <=> v170(constB17))),
% 17.59/12.88 inference(modus_ponens,[status(thm)],[38978, 38977])).
% 17.59/12.88 tff(38980,plain,
% 17.59/12.88 ((~v166(constB17)) | (v163(constB17) <=> v170(constB17))),
% 17.59/12.88 inference(unit_resolution,[status(thm)],[38979, 13111])).
% 17.59/12.88 tff(38981,plain,
% 17.59/12.88 (v163(constB17) <=> v170(constB17)),
% 17.59/12.88 inference(unit_resolution,[status(thm)],[38980, 38976])).
% 17.59/12.88 tff(38982,plain,
% 17.59/12.88 ((~(v163(constB17) <=> v170(constB17))) | (~v163(constB17)) | v170(constB17)),
% 17.59/12.88 inference(tautology,[status(thm)],[])).
% 17.59/12.88 tff(38983,plain,
% 17.59/12.88 (~v163(constB17)),
% 17.59/12.88 inference(unit_resolution,[status(thm)],[38982, 38981, 38954])).
% 17.59/12.88 tff(38984,plain,
% 17.59/12.88 ((~(v161(constB17) <=> v163(constB17))) | (~v161(constB17)) | v163(constB17)),
% 17.59/12.88 inference(tautology,[status(thm)],[])).
% 17.59/12.88 tff(38985,plain,
% 17.59/12.88 (~v161(constB17)),
% 17.59/12.88 inference(unit_resolution,[status(thm)],[38984, 38983, 38899])).
% 17.59/12.88 tff(38986,plain,
% 17.59/12.88 ((~(v186(constB18) <=> v161(constB17))) | (~v186(constB18)) | v161(constB17)),
% 17.59/12.88 inference(tautology,[status(thm)],[])).
% 17.59/12.88 tff(38987,plain,
% 17.59/12.88 (~v186(constB18)),
% 17.59/12.88 inference(unit_resolution,[status(thm)],[38986, 38985, 38897])).
% 17.59/12.88 tff(38988,plain,
% 17.59/12.88 ((~(v159(constB18) <=> v186(constB18))) | (~v159(constB18)) | v186(constB18)),
% 17.59/12.88 inference(tautology,[status(thm)],[])).
% 17.59/12.88 tff(38989,plain,
% 17.59/12.88 (~v159(constB18)),
% 17.59/12.88 inference(unit_resolution,[status(thm)],[38988, 38987, 38893])).
% 17.59/12.88 tff(38990,plain,
% 17.59/12.88 ((~(v159(constB19) <=> v159(constB18))) | (~v159(constB19)) | v159(constB18)),
% 17.59/12.88 inference(tautology,[status(thm)],[])).
% 17.59/12.88 tff(38991,plain,
% 17.59/12.88 (~v159(constB19)),
% 17.59/12.88 inference(unit_resolution,[status(thm)],[38990, 38989, 38865])).
% 17.59/12.88 tff(38992,plain,
% 17.59/12.88 (((~v159(constB19)) | (~v161(constB19))) | v159(constB19)),
% 17.59/12.88 inference(tautology,[status(thm)],[])).
% 17.59/12.88 tff(38993,plain,
% 17.59/12.88 ((~v159(constB19)) | (~v161(constB19))),
% 17.59/12.88 inference(unit_resolution,[status(thm)],[38992, 38991])).
% 17.59/12.88 tff(38994,plain,
% 17.59/12.88 ((~(v201(constB19) <=> (~((~v159(constB19)) | (~v161(constB19)))))) | (~v201(constB19)) | (~((~v159(constB19)) | (~v161(constB19))))),
% 17.59/12.88 inference(tautology,[status(thm)],[])).
% 17.59/12.88 tff(38995,plain,
% 17.59/12.88 (~v201(constB19)),
% 17.59/12.88 inference(unit_resolution,[status(thm)],[38994, 38993, 38839])).
% 17.59/12.88 tff(38996,plain,
% 17.59/12.88 (((~v197(constB19)) | (~v201(constB19))) | v201(constB19)),
% 17.59/12.88 inference(tautology,[status(thm)],[])).
% 17.59/12.88 tff(38997,plain,
% 17.59/12.88 ((~v197(constB19)) | (~v201(constB19))),
% 17.59/12.88 inference(unit_resolution,[status(thm)],[38996, 38995])).
% 17.59/12.88 tff(38998,plain,
% 17.59/12.88 ((~(v200(constB19) <=> (~((~v197(constB19)) | (~v201(constB19)))))) | (~v200(constB19)) | (~((~v197(constB19)) | (~v201(constB19))))),
% 17.59/12.88 inference(tautology,[status(thm)],[])).
% 17.59/12.88 tff(38999,plain,
% 17.59/12.88 (~v200(constB19)),
% 17.59/12.88 inference(unit_resolution,[status(thm)],[38998, 38997, 38837])).
% 17.59/12.88 tff(39000,plain,
% 17.59/12.88 (((~v199(constB19)) | (~v200(constB19))) | v200(constB19)),
% 17.59/12.88 inference(tautology,[status(thm)],[])).
% 17.59/12.88 tff(39001,plain,
% 17.59/12.88 ((~v199(constB19)) | (~v200(constB19))),
% 17.59/12.88 inference(unit_resolution,[status(thm)],[39000, 38999])).
% 17.59/12.88 tff(39002,plain,
% 17.59/12.88 ((~(v198(constB19) <=> (~((~v199(constB19)) | (~v200(constB19)))))) | (~v198(constB19)) | (~((~v199(constB19)) | (~v200(constB19))))),
% 17.59/12.88 inference(tautology,[status(thm)],[])).
% 17.59/12.88 tff(39003,plain,
% 17.59/12.88 (~v198(constB19)),
% 17.59/12.88 inference(unit_resolution,[status(thm)],[39002, 39001, 38835])).
% 17.59/12.88 tff(39004,plain,
% 17.59/12.88 ((~(v194(constB19) | v198(constB19))) | v194(constB19) | v198(constB19)),
% 17.59/12.88 inference(tautology,[status(thm)],[])).
% 17.59/12.88 tff(39005,plain,
% 17.59/12.88 (~(v194(constB19) | v198(constB19))),
% 17.59/12.88 inference(unit_resolution,[status(thm)],[39004, 39003, 38833])).
% 17.59/12.88 tff(39006,plain,
% 17.59/12.89 ((~(v191(constB19) <=> (v194(constB19) | v198(constB19)))) | (~v191(constB19)) | (v194(constB19) | v198(constB19))),
% 17.59/12.89 inference(tautology,[status(thm)],[])).
% 17.59/12.89 tff(39007,plain,
% 17.59/12.89 (~v191(constB19)),
% 17.59/12.89 inference(unit_resolution,[status(thm)],[39006, 39005, 38760])).
% 17.59/12.89 tff(39008,plain,
% 17.59/12.89 ((~(v193(constB20) <=> v191(constB19))) | (~v193(constB20)) | v191(constB19)),
% 17.59/12.89 inference(tautology,[status(thm)],[])).
% 17.59/12.89 tff(39009,plain,
% 17.59/12.89 (~v193(constB20)),
% 17.59/12.89 inference(unit_resolution,[status(thm)],[39008, 39007, 38758])).
% 17.59/12.89 tff(39010,plain,
% 17.59/12.89 ((~(v157(constB20) <=> v193(constB20))) | (~v157(constB20)) | v193(constB20)),
% 17.59/12.89 inference(tautology,[status(thm)],[])).
% 17.59/12.89 tff(39011,plain,
% 17.59/12.89 (~v157(constB20)),
% 17.59/12.89 inference(unit_resolution,[status(thm)],[39010, 39009, 38754])).
% 17.59/12.89 tff(39012,plain,
% 17.59/12.89 (((~v157(constB20)) | (~v195(constB20))) | v157(constB20)),
% 17.59/12.89 inference(tautology,[status(thm)],[])).
% 17.59/12.89 tff(39013,plain,
% 17.59/12.89 ((~v157(constB20)) | (~v195(constB20))),
% 17.59/12.89 inference(unit_resolution,[status(thm)],[39012, 39011])).
% 17.59/12.89 tff(39014,plain,
% 17.59/12.89 ((~(v194(constB20) <=> (~((~v157(constB20)) | (~v195(constB20)))))) | (~v194(constB20)) | (~((~v157(constB20)) | (~v195(constB20))))),
% 17.59/12.89 inference(tautology,[status(thm)],[])).
% 17.59/12.89 tff(39015,plain,
% 17.59/12.89 (~v194(constB20)),
% 17.59/12.89 inference(unit_resolution,[status(thm)],[39014, 39013, 38752])).
% 17.59/12.89 tff(39016,plain,
% 17.59/12.89 ((~(v194(constB20) | v198(constB20))) | v194(constB20) | v198(constB20)),
% 17.59/12.89 inference(tautology,[status(thm)],[])).
% 17.59/12.89 tff(39017,plain,
% 17.59/12.89 (~(v194(constB20) | v198(constB20))),
% 17.59/12.89 inference(unit_resolution,[status(thm)],[39016, 39015, 38745])).
% 17.59/12.89 tff(39018,plain,
% 17.59/12.89 ((~(v191(constB20) <=> (v194(constB20) | v198(constB20)))) | (~v191(constB20)) | (v194(constB20) | v198(constB20))),
% 17.59/12.89 inference(tautology,[status(thm)],[])).
% 17.59/12.89 tff(39019,plain,
% 17.59/12.89 (~v191(constB20)),
% 17.59/12.89 inference(unit_resolution,[status(thm)],[39018, 39017, 38720])).
% 17.59/12.89 tff(39020,plain,
% 17.59/12.89 ((~(v193(constB21) <=> v191(constB20))) | (~v193(constB21)) | v191(constB20)),
% 17.59/12.89 inference(tautology,[status(thm)],[])).
% 17.59/12.89 tff(39021,plain,
% 17.59/12.89 (~v193(constB21)),
% 17.59/12.89 inference(unit_resolution,[status(thm)],[39020, 39019, 38718])).
% 17.59/12.89 tff(39022,plain,
% 17.59/12.89 ($false),
% 17.59/12.89 inference(unit_resolution,[status(thm)],[39021, 38714])).
% 17.59/12.89 tff(39023,plain,(~(constB21 = VarCurr!0)), inference(lemma,lemma(discharge,[]))).
% 17.59/12.89 tff(39024,assumption,(constB67 = VarCurr!0), introduced(assumption)).
% 17.59/12.89 tff(39025,plain,
% 17.59/12.89 (v193(constB67) <=> v193(VarCurr!0)),
% 17.59/12.89 inference(monotonicity,[status(thm)],[39024])).
% 17.59/12.89 tff(39026,plain,
% 17.59/12.89 (v193(VarCurr!0) <=> v193(constB67)),
% 17.59/12.89 inference(symmetry,[status(thm)],[39025])).
% 17.59/12.89 tff(39027,plain,
% 17.59/12.89 (v193(constB67)),
% 17.59/12.89 inference(modus_ponens,[status(thm)],[59, 39026])).
% 17.59/12.89 tff(39028,plain,
% 17.59/12.89 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v193(VarNext) <=> v191(VarCurr)))) | ((~nextState(constB66, constB67)) | (v193(constB67) <=> v191(constB66)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v193(VarNext) <=> v191(VarCurr)))) | (~nextState(constB66, constB67)) | (v193(constB67) <=> v191(constB66)))),
% 17.59/12.89 inference(rewrite,[status(thm)],[])).
% 17.59/12.89 tff(39029,plain,
% 17.59/12.89 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v193(VarNext) <=> v191(VarCurr)))) | ((~nextState(constB66, constB67)) | (v193(constB67) <=> v191(constB66)))),
% 17.59/12.89 inference(quant_inst,[status(thm)],[])).
% 17.59/12.89 tff(39030,plain,
% 17.59/12.89 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v193(VarNext) <=> v191(VarCurr)))) | (~nextState(constB66, constB67)) | (v193(constB67) <=> v191(constB66))),
% 17.59/12.89 inference(modus_ponens,[status(thm)],[39029, 39028])).
% 17.59/12.89 tff(39031,plain,
% 17.59/12.89 (v193(constB67) <=> v191(constB66)),
% 17.59/12.89 inference(unit_resolution,[status(thm)],[39030, 1915, 70])).
% 17.59/12.89 tff(39032,plain,
% 17.59/12.89 ((~![VarCurr: $i] : (v191(VarCurr) <=> (v194(VarCurr) | v198(VarCurr)))) | (v191(constB66) <=> (v194(constB66) | v198(constB66)))),
% 17.59/12.89 inference(quant_inst,[status(thm)],[])).
% 17.59/12.89 tff(39033,plain,
% 17.59/12.89 (v191(constB66) <=> (v194(constB66) | v198(constB66))),
% 17.59/12.89 inference(unit_resolution,[status(thm)],[39032, 84])).
% 17.59/12.89 tff(39034,plain,
% 17.59/12.89 ((~![VarCurr: $i] : (v198(VarCurr) <=> (~((~v199(VarCurr)) | (~v200(VarCurr)))))) | (v198(constB66) <=> (~((~v199(constB66)) | (~v200(constB66)))))),
% 17.59/12.89 inference(quant_inst,[status(thm)],[])).
% 17.59/12.89 tff(39035,plain,
% 17.59/12.89 (v198(constB66) <=> (~((~v199(constB66)) | (~v200(constB66))))),
% 17.59/12.89 inference(unit_resolution,[status(thm)],[39034, 96])).
% 17.59/12.89 tff(39036,plain,
% 17.59/12.89 ((~![VarCurr: $i] : (v200(VarCurr) <=> (~((~v197(VarCurr)) | (~v201(VarCurr)))))) | (v200(constB66) <=> (~((~v197(constB66)) | (~v201(constB66)))))),
% 17.59/12.89 inference(quant_inst,[status(thm)],[])).
% 17.59/12.89 tff(39037,plain,
% 17.59/12.89 (v200(constB66) <=> (~((~v197(constB66)) | (~v201(constB66))))),
% 17.59/12.89 inference(unit_resolution,[status(thm)],[39036, 108])).
% 17.59/12.89 tff(39038,plain,
% 17.59/12.89 ((~![VarCurr: $i] : (v197(VarCurr) <=> (~((~v39(VarCurr)) | (~v9(VarCurr)))))) | (v197(constB66) <=> (~((~v39(constB66)) | (~v9(constB66)))))),
% 17.59/12.89 inference(quant_inst,[status(thm)],[])).
% 17.59/12.89 tff(39039,plain,
% 17.59/12.89 (v197(constB66) <=> (~((~v39(constB66)) | (~v9(constB66))))),
% 17.59/12.89 inference(unit_resolution,[status(thm)],[39038, 120])).
% 17.59/12.89 tff(39040,plain,
% 17.59/12.89 ((~![VarCurr: $i] : ((~v39(VarCurr)) <=> v1(VarCurr))) | ((~v39(constB66)) <=> v1(constB66))),
% 17.59/12.89 inference(quant_inst,[status(thm)],[])).
% 17.59/12.89 tff(39041,plain,
% 17.59/12.89 ((~v39(constB66)) <=> v1(constB66)),
% 17.59/12.89 inference(unit_resolution,[status(thm)],[39040, 129])).
% 17.59/12.89 tff(39042,plain,
% 17.59/12.89 ((~((~v39(constB66)) <=> v1(constB66))) | (~v39(constB66)) | (~v1(constB66))),
% 17.59/12.89 inference(tautology,[status(thm)],[])).
% 17.59/12.89 tff(39043,plain,
% 17.59/12.89 ((~((~v39(constB66)) <=> v1(constB66))) | (~v39(constB66))),
% 17.59/12.89 inference(unit_resolution,[status(thm)],[39042, 1977])).
% 17.59/12.89 tff(39044,plain,
% 17.59/12.89 (~v39(constB66)),
% 17.59/12.89 inference(unit_resolution,[status(thm)],[39043, 39041])).
% 17.59/12.89 tff(39045,plain,
% 17.59/12.89 (((~v39(constB66)) | (~v9(constB66))) | v39(constB66)),
% 17.59/12.89 inference(tautology,[status(thm)],[])).
% 17.59/12.89 tff(39046,plain,
% 17.59/12.89 ((~v39(constB66)) | (~v9(constB66))),
% 17.59/12.89 inference(unit_resolution,[status(thm)],[39045, 39044])).
% 17.59/12.89 tff(39047,plain,
% 17.59/12.89 ((~(v197(constB66) <=> (~((~v39(constB66)) | (~v9(constB66)))))) | (~v197(constB66)) | (~((~v39(constB66)) | (~v9(constB66))))),
% 17.59/12.89 inference(tautology,[status(thm)],[])).
% 17.59/12.89 tff(39048,plain,
% 17.59/12.89 ((~(v197(constB66) <=> (~((~v39(constB66)) | (~v9(constB66)))))) | (~v197(constB66))),
% 17.59/12.89 inference(unit_resolution,[status(thm)],[39047, 39046])).
% 17.59/12.89 tff(39049,plain,
% 17.59/12.89 (~v197(constB66)),
% 17.59/12.89 inference(unit_resolution,[status(thm)],[39048, 39039])).
% 17.59/12.89 tff(39050,plain,
% 17.59/12.89 (((~v197(constB66)) | (~v201(constB66))) | v197(constB66)),
% 17.59/12.89 inference(tautology,[status(thm)],[])).
% 17.59/12.89 tff(39051,plain,
% 17.59/12.89 ((~v197(constB66)) | (~v201(constB66))),
% 17.59/12.89 inference(unit_resolution,[status(thm)],[39050, 39049])).
% 17.59/12.89 tff(39052,plain,
% 17.59/12.89 ((~(v200(constB66) <=> (~((~v197(constB66)) | (~v201(constB66)))))) | (~v200(constB66)) | (~((~v197(constB66)) | (~v201(constB66))))),
% 17.59/12.89 inference(tautology,[status(thm)],[])).
% 17.59/12.89 tff(39053,plain,
% 17.59/12.89 ((~(v200(constB66) <=> (~((~v197(constB66)) | (~v201(constB66)))))) | (~v200(constB66))),
% 17.59/12.89 inference(unit_resolution,[status(thm)],[39052, 39051])).
% 17.59/12.89 tff(39054,plain,
% 17.59/12.89 (~v200(constB66)),
% 17.59/12.89 inference(unit_resolution,[status(thm)],[39053, 39037])).
% 17.59/12.89 tff(39055,plain,
% 17.59/12.89 (((~v199(constB66)) | (~v200(constB66))) | v200(constB66)),
% 17.59/12.89 inference(tautology,[status(thm)],[])).
% 17.59/12.89 tff(39056,plain,
% 17.59/12.89 ((~v199(constB66)) | (~v200(constB66))),
% 17.59/12.89 inference(unit_resolution,[status(thm)],[39055, 39054])).
% 17.59/12.89 tff(39057,plain,
% 17.59/12.89 ((~(v198(constB66) <=> (~((~v199(constB66)) | (~v200(constB66)))))) | (~v198(constB66)) | (~((~v199(constB66)) | (~v200(constB66))))),
% 17.59/12.89 inference(tautology,[status(thm)],[])).
% 17.59/12.89 tff(39058,plain,
% 17.59/12.89 (~v198(constB66)),
% 17.59/12.89 inference(unit_resolution,[status(thm)],[39057, 39056, 39035])).
% 17.59/12.89 tff(39059,plain,
% 17.59/12.89 (((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB66) <=> (~((~v157(constB66)) | (~v195(constB66)))))) <=> ((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB66) <=> (~((~v157(constB66)) | (~v195(constB66))))))),
% 17.59/12.89 inference(rewrite,[status(thm)],[])).
% 17.59/12.89 tff(39060,plain,
% 17.59/12.89 ((v194(constB66) <=> (~((~v195(constB66)) | (~v157(constB66))))) <=> (v194(constB66) <=> (~((~v157(constB66)) | (~v195(constB66)))))),
% 17.59/12.89 inference(rewrite,[status(thm)],[])).
% 17.59/12.89 tff(39061,plain,
% 17.59/12.89 (((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB66) <=> (~((~v195(constB66)) | (~v157(constB66)))))) <=> ((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB66) <=> (~((~v157(constB66)) | (~v195(constB66))))))),
% 17.59/12.89 inference(monotonicity,[status(thm)],[39060])).
% 17.59/12.89 tff(39062,plain,
% 17.59/12.89 (((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB66) <=> (~((~v195(constB66)) | (~v157(constB66)))))) <=> ((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB66) <=> (~((~v157(constB66)) | (~v195(constB66))))))),
% 17.59/12.89 inference(transitivity,[status(thm)],[39061, 39059])).
% 17.59/12.89 tff(39063,plain,
% 17.59/12.89 ((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB66) <=> (~((~v195(constB66)) | (~v157(constB66)))))),
% 17.59/12.89 inference(quant_inst,[status(thm)],[])).
% 17.59/12.89 tff(39064,plain,
% 17.59/12.89 ((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB66) <=> (~((~v157(constB66)) | (~v195(constB66)))))),
% 17.59/12.89 inference(modus_ponens,[status(thm)],[39063, 39062])).
% 17.59/12.89 tff(39065,plain,
% 17.59/12.89 (v194(constB66) <=> (~((~v157(constB66)) | (~v195(constB66))))),
% 17.59/12.89 inference(unit_resolution,[status(thm)],[39064, 161])).
% 17.59/12.89 tff(39066,plain,
% 17.59/12.89 ((~![VarNext: $i] : (v157(VarNext) <=> v193(VarNext))) | (v157(constB66) <=> v193(constB66))),
% 17.59/12.89 inference(quant_inst,[status(thm)],[])).
% 17.59/12.89 tff(39067,plain,
% 17.59/12.89 (v157(constB66) <=> v193(constB66)),
% 17.59/12.89 inference(unit_resolution,[status(thm)],[39066, 13])).
% 17.59/12.89 tff(39068,plain,
% 17.59/12.89 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v193(VarNext) <=> v191(VarCurr)))) | ((~nextState(constB65, constB66)) | (v193(constB66) <=> v191(constB65)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v193(VarNext) <=> v191(VarCurr)))) | (~nextState(constB65, constB66)) | (v193(constB66) <=> v191(constB65)))),
% 17.59/12.89 inference(rewrite,[status(thm)],[])).
% 17.59/12.89 tff(39069,plain,
% 17.59/12.89 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v193(VarNext) <=> v191(VarCurr)))) | ((~nextState(constB65, constB66)) | (v193(constB66) <=> v191(constB65)))),
% 17.59/12.89 inference(quant_inst,[status(thm)],[])).
% 17.59/12.89 tff(39070,plain,
% 17.59/12.89 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v193(VarNext) <=> v191(VarCurr)))) | (~nextState(constB65, constB66)) | (v193(constB66) <=> v191(constB65))),
% 17.59/12.89 inference(modus_ponens,[status(thm)],[39069, 39068])).
% 17.59/12.89 tff(39071,plain,
% 17.59/12.89 (v193(constB66) <=> v191(constB65)),
% 17.59/12.89 inference(unit_resolution,[status(thm)],[39070, 1947, 70])).
% 17.59/12.89 tff(39072,plain,
% 17.59/12.89 ((~![VarCurr: $i] : (v191(VarCurr) <=> (v194(VarCurr) | v198(VarCurr)))) | (v191(constB65) <=> (v194(constB65) | v198(constB65)))),
% 17.59/12.89 inference(quant_inst,[status(thm)],[])).
% 17.59/12.89 tff(39073,plain,
% 17.59/12.89 (v191(constB65) <=> (v194(constB65) | v198(constB65))),
% 17.59/12.89 inference(unit_resolution,[status(thm)],[39072, 84])).
% 17.59/12.89 tff(39074,plain,
% 17.59/12.89 (((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB65) <=> (~((~v157(constB65)) | (~v195(constB65)))))) <=> ((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB65) <=> (~((~v157(constB65)) | (~v195(constB65))))))),
% 17.59/12.89 inference(rewrite,[status(thm)],[])).
% 17.59/12.89 tff(39075,plain,
% 17.59/12.89 ((v194(constB65) <=> (~((~v195(constB65)) | (~v157(constB65))))) <=> (v194(constB65) <=> (~((~v157(constB65)) | (~v195(constB65)))))),
% 17.59/12.89 inference(rewrite,[status(thm)],[])).
% 17.59/12.89 tff(39076,plain,
% 17.59/12.89 (((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB65) <=> (~((~v195(constB65)) | (~v157(constB65)))))) <=> ((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB65) <=> (~((~v157(constB65)) | (~v195(constB65))))))),
% 17.59/12.89 inference(monotonicity,[status(thm)],[39075])).
% 17.59/12.89 tff(39077,plain,
% 17.59/12.89 (((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB65) <=> (~((~v195(constB65)) | (~v157(constB65)))))) <=> ((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB65) <=> (~((~v157(constB65)) | (~v195(constB65))))))),
% 17.59/12.89 inference(transitivity,[status(thm)],[39076, 39074])).
% 17.59/12.89 tff(39078,plain,
% 17.59/12.89 ((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB65) <=> (~((~v195(constB65)) | (~v157(constB65)))))),
% 17.59/12.89 inference(quant_inst,[status(thm)],[])).
% 17.59/12.89 tff(39079,plain,
% 17.59/12.89 ((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB65) <=> (~((~v157(constB65)) | (~v195(constB65)))))),
% 17.59/12.89 inference(modus_ponens,[status(thm)],[39078, 39077])).
% 17.59/12.89 tff(39080,plain,
% 17.59/12.89 (v194(constB65) <=> (~((~v157(constB65)) | (~v195(constB65))))),
% 17.59/12.89 inference(unit_resolution,[status(thm)],[39079, 161])).
% 17.59/12.89 tff(39081,plain,
% 17.59/12.89 ((~![VarCurr: $i] : ((~v195(VarCurr)) <=> v196(VarCurr))) | ((~v195(constB65)) <=> v196(constB65))),
% 17.59/12.89 inference(quant_inst,[status(thm)],[])).
% 17.59/12.89 tff(39082,plain,
% 17.59/12.89 ((~v195(constB65)) <=> v196(constB65)),
% 17.59/12.89 inference(unit_resolution,[status(thm)],[39081, 193])).
% 17.59/12.89 tff(39083,plain,
% 17.59/12.89 ((~![VarCurr: $i] : (v196(VarCurr) <=> (v197(VarCurr) | v26(VarCurr)))) | (v196(constB65) <=> (v197(constB65) | v26(constB65)))),
% 17.59/12.89 inference(quant_inst,[status(thm)],[])).
% 17.59/12.89 tff(39084,plain,
% 17.59/12.89 (v196(constB65) <=> (v197(constB65) | v26(constB65))),
% 17.59/12.89 inference(unit_resolution,[status(thm)],[39083, 202])).
% 17.59/12.89 tff(39085,plain,
% 17.59/12.89 ((~![VarCurr: $i] : (v197(VarCurr) <=> (~((~v39(VarCurr)) | (~v9(VarCurr)))))) | (v197(constB65) <=> (~((~v39(constB65)) | (~v9(constB65)))))),
% 17.59/12.89 inference(quant_inst,[status(thm)],[])).
% 17.59/12.89 tff(39086,plain,
% 17.59/12.89 (v197(constB65) <=> (~((~v39(constB65)) | (~v9(constB65))))),
% 17.59/12.89 inference(unit_resolution,[status(thm)],[39085, 120])).
% 17.59/12.89 tff(39087,plain,
% 17.59/12.89 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | ((~nextState(constB65, constB66)) | (v13(constB66) <=> v9(constB65)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | (~nextState(constB65, constB66)) | (v13(constB66) <=> v9(constB65)))),
% 17.59/12.89 inference(rewrite,[status(thm)],[])).
% 17.59/12.89 tff(39088,plain,
% 17.59/12.89 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | ((~nextState(constB65, constB66)) | (v13(constB66) <=> v9(constB65)))),
% 17.59/12.89 inference(quant_inst,[status(thm)],[])).
% 17.59/12.89 tff(39089,plain,
% 17.59/12.89 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | (~nextState(constB65, constB66)) | (v13(constB66) <=> v9(constB65))),
% 17.59/12.89 inference(modus_ponens,[status(thm)],[39088, 39087])).
% 17.59/12.89 tff(39090,plain,
% 17.59/12.89 (v13(constB66) <=> v9(constB65)),
% 17.59/12.89 inference(unit_resolution,[status(thm)],[39089, 1947, 216])).
% 17.59/12.89 tff(39091,plain,
% 17.59/12.89 ((~![VarNext: $i] : (v6(VarNext) <=> v13(VarNext))) | (v6(constB66) <=> v13(constB66))),
% 17.59/12.89 inference(quant_inst,[status(thm)],[])).
% 17.59/12.89 tff(39092,plain,
% 17.59/12.89 (v6(constB66) <=> v13(constB66)),
% 17.59/12.89 inference(unit_resolution,[status(thm)],[39091, 230])).
% 17.59/12.89 tff(39093,plain,
% 17.59/12.89 ((~![VarCurr: $i] : ((~v21(VarCurr)) <=> v6(VarCurr))) | ((~v21(constB66)) <=> v6(constB66))),
% 17.59/12.89 inference(quant_inst,[status(thm)],[])).
% 17.59/12.89 tff(39094,plain,
% 17.59/12.89 ((~v21(constB66)) <=> v6(constB66)),
% 17.59/12.89 inference(unit_resolution,[status(thm)],[39093, 239])).
% 17.59/12.89 tff(39095,plain,
% 17.59/12.89 ((~![VarCurr: $i] : (v19(VarCurr) <=> (v20(VarCurr) | v21(VarCurr)))) | (v19(constB66) <=> (v20(constB66) | v21(constB66)))),
% 17.59/12.89 inference(quant_inst,[status(thm)],[])).
% 17.59/12.89 tff(39096,plain,
% 17.59/12.89 (v19(constB66) <=> (v20(constB66) | v21(constB66))),
% 17.59/12.89 inference(unit_resolution,[status(thm)],[39095, 248])).
% 17.59/12.89 tff(39097,plain,
% 17.59/12.89 ((~![VarCurr: $i] : (v18(VarCurr) <=> (~((~v19(VarCurr)) | (~v22(VarCurr)))))) | (v18(constB66) <=> (~((~v19(constB66)) | (~v22(constB66)))))),
% 17.59/12.89 inference(quant_inst,[status(thm)],[])).
% 17.59/12.89 tff(39098,plain,
% 17.59/12.89 (v18(constB66) <=> (~((~v19(constB66)) | (~v22(constB66))))),
% 17.59/12.89 inference(unit_resolution,[status(thm)],[39097, 260])).
% 17.59/12.89 tff(39099,plain,
% 17.59/12.89 ((~![VarCurr: $i] : ((~v4(VarCurr)) <=> v18(VarCurr))) | ((~v4(constB66)) <=> v18(constB66))),
% 17.59/12.89 inference(quant_inst,[status(thm)],[])).
% 17.59/12.89 tff(39100,plain,
% 17.59/12.89 ((~v4(constB66)) <=> v18(constB66)),
% 17.59/12.89 inference(unit_resolution,[status(thm)],[39099, 269])).
% 17.59/12.89 tff(39101,plain,
% 17.59/12.89 ((~![VarCurr: $i] : v4(VarCurr)) | v4(constB66)),
% 17.59/12.89 inference(quant_inst,[status(thm)],[])).
% 17.59/12.89 tff(39102,plain,
% 17.59/12.89 (v4(constB66)),
% 17.59/12.89 inference(unit_resolution,[status(thm)],[39101, 278])).
% 17.59/12.89 tff(39103,plain,
% 17.59/12.89 ((~((~v4(constB66)) <=> v18(constB66))) | (~v4(constB66)) | (~v18(constB66))),
% 17.59/12.89 inference(tautology,[status(thm)],[])).
% 17.59/12.89 tff(39104,plain,
% 17.59/12.89 (~v18(constB66)),
% 17.59/12.89 inference(unit_resolution,[status(thm)],[39103, 39102, 39100])).
% 17.59/12.89 tff(39105,plain,
% 17.59/12.89 ((~(v18(constB66) <=> (~((~v19(constB66)) | (~v22(constB66)))))) | v18(constB66) | ((~v19(constB66)) | (~v22(constB66)))),
% 17.59/12.89 inference(tautology,[status(thm)],[])).
% 17.59/12.89 tff(39106,plain,
% 17.59/12.89 ((~v19(constB66)) | (~v22(constB66))),
% 17.59/12.89 inference(unit_resolution,[status(thm)],[39105, 39104, 39098])).
% 17.59/12.89 tff(39107,plain,
% 17.59/12.89 ((~![VarCurr: $i] : (v22(VarCurr) <=> (v1(VarCurr) | v6(VarCurr)))) | (v22(constB66) <=> (v1(constB66) | v6(constB66)))),
% 17.59/12.89 inference(quant_inst,[status(thm)],[])).
% 17.59/12.89 tff(39108,plain,
% 17.59/12.89 (v22(constB66) <=> (v1(constB66) | v6(constB66))),
% 17.59/12.89 inference(unit_resolution,[status(thm)],[39107, 291])).
% 17.59/12.89 tff(39109,plain,
% 17.59/12.89 ((v1(constB66) | v6(constB66)) | (~v1(constB66))),
% 17.59/12.89 inference(tautology,[status(thm)],[])).
% 17.59/12.89 tff(39110,plain,
% 17.59/12.89 (v1(constB66) | v6(constB66)),
% 17.59/12.89 inference(unit_resolution,[status(thm)],[39109, 1977])).
% 17.59/12.89 tff(39111,plain,
% 17.59/12.89 ((~(v22(constB66) <=> (v1(constB66) | v6(constB66)))) | v22(constB66) | (~(v1(constB66) | v6(constB66)))),
% 17.59/12.89 inference(tautology,[status(thm)],[])).
% 17.59/12.89 tff(39112,plain,
% 17.59/12.89 ((~(v22(constB66) <=> (v1(constB66) | v6(constB66)))) | v22(constB66)),
% 17.59/12.89 inference(unit_resolution,[status(thm)],[39111, 39110])).
% 17.59/12.89 tff(39113,plain,
% 17.59/12.89 (v22(constB66)),
% 17.59/12.89 inference(unit_resolution,[status(thm)],[39112, 39108])).
% 17.59/12.89 tff(39114,plain,
% 17.59/12.89 ((~((~v19(constB66)) | (~v22(constB66)))) | (~v19(constB66)) | (~v22(constB66))),
% 17.59/12.89 inference(tautology,[status(thm)],[])).
% 17.59/12.89 tff(39115,plain,
% 17.59/12.89 ((~((~v19(constB66)) | (~v22(constB66)))) | (~v19(constB66))),
% 17.59/12.89 inference(unit_resolution,[status(thm)],[39114, 39113])).
% 17.59/12.89 tff(39116,plain,
% 17.59/12.89 (~v19(constB66)),
% 17.59/12.89 inference(unit_resolution,[status(thm)],[39115, 39106])).
% 17.59/12.89 tff(39117,plain,
% 17.59/12.89 ((~(v19(constB66) <=> (v20(constB66) | v21(constB66)))) | v19(constB66) | (~(v20(constB66) | v21(constB66)))),
% 17.59/12.89 inference(tautology,[status(thm)],[])).
% 17.59/12.89 tff(39118,plain,
% 17.59/12.89 (~(v20(constB66) | v21(constB66))),
% 17.59/12.89 inference(unit_resolution,[status(thm)],[39117, 39116, 39096])).
% 17.59/12.89 tff(39119,plain,
% 17.59/12.89 ((v20(constB66) | v21(constB66)) | (~v21(constB66))),
% 17.59/12.89 inference(tautology,[status(thm)],[])).
% 17.59/12.89 tff(39120,plain,
% 17.59/12.89 (~v21(constB66)),
% 17.59/12.89 inference(unit_resolution,[status(thm)],[39119, 39118])).
% 17.59/12.89 tff(39121,plain,
% 17.59/12.89 ((~((~v21(constB66)) <=> v6(constB66))) | v21(constB66) | v6(constB66)),
% 17.59/12.89 inference(tautology,[status(thm)],[])).
% 17.59/12.89 tff(39122,plain,
% 17.59/12.89 (v6(constB66)),
% 17.59/12.89 inference(unit_resolution,[status(thm)],[39121, 39120, 39094])).
% 17.59/12.89 tff(39123,plain,
% 17.59/12.89 ((~(v6(constB66) <=> v13(constB66))) | (~v6(constB66)) | v13(constB66)),
% 17.59/12.89 inference(tautology,[status(thm)],[])).
% 17.59/12.89 tff(39124,plain,
% 17.59/12.89 (v13(constB66)),
% 17.59/12.89 inference(unit_resolution,[status(thm)],[39123, 39122, 39092])).
% 17.59/12.89 tff(39125,plain,
% 17.59/12.89 ((~(v13(constB66) <=> v9(constB65))) | (~v13(constB66)) | v9(constB65)),
% 17.59/12.89 inference(tautology,[status(thm)],[])).
% 17.59/12.89 tff(39126,plain,
% 17.59/12.89 (v9(constB65)),
% 17.59/12.89 inference(unit_resolution,[status(thm)],[39125, 39124, 39090])).
% 17.59/12.89 tff(39127,plain,
% 17.59/12.89 ((~![VarCurr: $i] : ((~v39(VarCurr)) <=> v1(VarCurr))) | ((~v39(constB65)) <=> v1(constB65))),
% 17.59/12.89 inference(quant_inst,[status(thm)],[])).
% 17.59/12.89 tff(39128,plain,
% 17.59/12.89 ((~v39(constB65)) <=> v1(constB65)),
% 17.59/12.89 inference(unit_resolution,[status(thm)],[39127, 129])).
% 17.69/12.90 tff(39129,plain,
% 17.69/12.90 ((~((~v39(constB65)) <=> v1(constB65))) | v39(constB65) | v1(constB65)),
% 17.69/12.90 inference(tautology,[status(thm)],[])).
% 17.69/12.90 tff(39130,plain,
% 17.69/12.90 ((~((~v39(constB65)) <=> v1(constB65))) | v39(constB65)),
% 17.69/12.90 inference(unit_resolution,[status(thm)],[39129, 1969])).
% 17.69/12.90 tff(39131,plain,
% 17.69/12.90 (v39(constB65)),
% 17.69/12.90 inference(unit_resolution,[status(thm)],[39130, 39128])).
% 17.69/12.90 tff(39132,plain,
% 17.69/12.90 ((~((~v39(constB65)) | (~v9(constB65)))) | (~v39(constB65)) | (~v9(constB65))),
% 17.69/12.90 inference(tautology,[status(thm)],[])).
% 17.69/12.90 tff(39133,plain,
% 17.69/12.90 ((~((~v39(constB65)) | (~v9(constB65)))) | (~v9(constB65))),
% 17.69/12.90 inference(unit_resolution,[status(thm)],[39132, 39131])).
% 17.69/12.90 tff(39134,plain,
% 17.69/12.90 (~((~v39(constB65)) | (~v9(constB65)))),
% 17.69/12.90 inference(unit_resolution,[status(thm)],[39133, 39126])).
% 17.69/12.90 tff(39135,plain,
% 17.69/12.90 ((~(v197(constB65) <=> (~((~v39(constB65)) | (~v9(constB65)))))) | v197(constB65) | ((~v39(constB65)) | (~v9(constB65)))),
% 17.69/12.90 inference(tautology,[status(thm)],[])).
% 17.69/12.90 tff(39136,plain,
% 17.69/12.90 (v197(constB65)),
% 17.69/12.90 inference(unit_resolution,[status(thm)],[39135, 39134, 39086])).
% 17.69/12.90 tff(39137,plain,
% 17.69/12.90 ((v197(constB65) | v26(constB65)) | (~v197(constB65))),
% 17.69/12.90 inference(tautology,[status(thm)],[])).
% 17.69/12.90 tff(39138,plain,
% 17.69/12.90 (v197(constB65) | v26(constB65)),
% 17.69/12.90 inference(unit_resolution,[status(thm)],[39137, 39136])).
% 17.69/12.90 tff(39139,plain,
% 17.69/12.90 ((~(v196(constB65) <=> (v197(constB65) | v26(constB65)))) | v196(constB65) | (~(v197(constB65) | v26(constB65)))),
% 17.69/12.90 inference(tautology,[status(thm)],[])).
% 17.69/12.90 tff(39140,plain,
% 17.69/12.90 (v196(constB65)),
% 17.69/12.90 inference(unit_resolution,[status(thm)],[39139, 39138, 39084])).
% 17.69/12.90 tff(39141,plain,
% 17.69/12.90 ((~((~v195(constB65)) <=> v196(constB65))) | (~v195(constB65)) | (~v196(constB65))),
% 17.69/12.90 inference(tautology,[status(thm)],[])).
% 17.69/12.90 tff(39142,plain,
% 17.69/12.90 (~v195(constB65)),
% 17.69/12.90 inference(unit_resolution,[status(thm)],[39141, 39140, 39082])).
% 17.69/12.90 tff(39143,plain,
% 17.69/12.90 (((~v157(constB65)) | (~v195(constB65))) | v195(constB65)),
% 17.69/12.90 inference(tautology,[status(thm)],[])).
% 17.69/12.90 tff(39144,plain,
% 17.69/12.90 ((~v157(constB65)) | (~v195(constB65))),
% 17.69/12.90 inference(unit_resolution,[status(thm)],[39143, 39142])).
% 17.69/12.90 tff(39145,plain,
% 17.69/12.90 ((~(v194(constB65) <=> (~((~v157(constB65)) | (~v195(constB65)))))) | (~v194(constB65)) | (~((~v157(constB65)) | (~v195(constB65))))),
% 17.69/12.90 inference(tautology,[status(thm)],[])).
% 17.69/12.90 tff(39146,plain,
% 17.69/12.90 (~v194(constB65)),
% 17.69/12.90 inference(unit_resolution,[status(thm)],[39145, 39144, 39080])).
% 17.69/12.90 tff(39147,plain,
% 17.69/12.90 ((~![VarCurr: $i] : (v198(VarCurr) <=> (~((~v199(VarCurr)) | (~v200(VarCurr)))))) | (v198(constB65) <=> (~((~v199(constB65)) | (~v200(constB65)))))),
% 17.69/12.90 inference(quant_inst,[status(thm)],[])).
% 17.69/12.90 tff(39148,plain,
% 17.69/12.90 (v198(constB65) <=> (~((~v199(constB65)) | (~v200(constB65))))),
% 17.69/12.90 inference(unit_resolution,[status(thm)],[39147, 96])).
% 17.69/12.90 tff(39149,plain,
% 17.69/12.90 ((~![VarCurr: $i] : (v200(VarCurr) <=> (~((~v197(VarCurr)) | (~v201(VarCurr)))))) | (v200(constB65) <=> (~((~v197(constB65)) | (~v201(constB65)))))),
% 17.69/12.90 inference(quant_inst,[status(thm)],[])).
% 17.69/12.90 tff(39150,plain,
% 17.69/12.90 (v200(constB65) <=> (~((~v197(constB65)) | (~v201(constB65))))),
% 17.69/12.90 inference(unit_resolution,[status(thm)],[39149, 108])).
% 17.69/12.90 tff(39151,plain,
% 17.69/12.90 ((~![VarCurr: $i] : (v201(VarCurr) <=> (~((~v159(VarCurr)) | (~v161(VarCurr)))))) | (v201(constB65) <=> (~((~v159(constB65)) | (~v161(constB65)))))),
% 17.69/12.90 inference(quant_inst,[status(thm)],[])).
% 17.69/12.90 tff(39152,plain,
% 17.69/12.90 (v201(constB65) <=> (~((~v159(constB65)) | (~v161(constB65))))),
% 17.69/12.90 inference(unit_resolution,[status(thm)],[39151, 348])).
% 17.69/12.90 tff(39153,plain,
% 17.69/12.90 ((~![VarCurr: $i] : (v161(VarCurr) <=> v163(VarCurr))) | (v161(constB65) <=> v163(constB65))),
% 17.69/12.90 inference(quant_inst,[status(thm)],[])).
% 17.69/12.90 tff(39154,plain,
% 17.69/12.90 (v161(constB65) <=> v163(constB65)),
% 17.69/12.90 inference(unit_resolution,[status(thm)],[39153, 357])).
% 17.69/12.90 tff(39155,plain,
% 17.69/12.90 ((~![VarCurr: $i] : (v171(VarCurr) <=> (v142(VarCurr) | v150(VarCurr)))) | (v171(constB65) <=> (v142(constB65) | v150(constB65)))),
% 17.69/12.90 inference(quant_inst,[status(thm)],[])).
% 17.69/12.90 tff(39156,plain,
% 17.69/12.90 (v171(constB65) <=> (v142(constB65) | v150(constB65))),
% 17.70/12.90 inference(unit_resolution,[status(thm)],[39155, 369])).
% 17.70/12.90 tff(39157,plain,
% 17.70/12.90 ((v142(constB65) | v150(constB65)) | (~v142(constB65))),
% 17.70/12.90 inference(tautology,[status(thm)],[])).
% 17.70/12.90 tff(39158,plain,
% 17.70/12.90 (v142(constB65) | v150(constB65)),
% 17.70/12.90 inference(unit_resolution,[status(thm)],[39157, 31174])).
% 17.70/12.90 tff(39159,plain,
% 17.70/12.90 ((~(v171(constB65) <=> (v142(constB65) | v150(constB65)))) | v171(constB65) | (~(v142(constB65) | v150(constB65)))),
% 17.70/12.90 inference(tautology,[status(thm)],[])).
% 17.70/12.90 tff(39160,plain,
% 17.70/12.90 (v171(constB65)),
% 17.70/12.90 inference(unit_resolution,[status(thm)],[39159, 39158, 39156])).
% 17.70/12.90 tff(39161,plain,
% 17.70/12.90 (((~![VarCurr: $i] : ((~v171(VarCurr)) | (~v170(VarCurr)))) | ((~v170(constB65)) | (~v171(constB65)))) <=> ((~![VarCurr: $i] : ((~v171(VarCurr)) | (~v170(VarCurr)))) | (~v170(constB65)) | (~v171(constB65)))),
% 17.70/12.90 inference(rewrite,[status(thm)],[])).
% 17.70/12.90 tff(39162,plain,
% 17.70/12.90 (((~v171(constB65)) | (~v170(constB65))) <=> ((~v170(constB65)) | (~v171(constB65)))),
% 17.70/12.90 inference(rewrite,[status(thm)],[])).
% 17.70/12.90 tff(39163,plain,
% 17.70/12.90 (((~![VarCurr: $i] : ((~v171(VarCurr)) | (~v170(VarCurr)))) | ((~v171(constB65)) | (~v170(constB65)))) <=> ((~![VarCurr: $i] : ((~v171(VarCurr)) | (~v170(VarCurr)))) | ((~v170(constB65)) | (~v171(constB65))))),
% 17.70/12.90 inference(monotonicity,[status(thm)],[39162])).
% 17.70/12.90 tff(39164,plain,
% 17.70/12.90 (((~![VarCurr: $i] : ((~v171(VarCurr)) | (~v170(VarCurr)))) | ((~v171(constB65)) | (~v170(constB65)))) <=> ((~![VarCurr: $i] : ((~v171(VarCurr)) | (~v170(VarCurr)))) | (~v170(constB65)) | (~v171(constB65)))),
% 17.70/12.90 inference(transitivity,[status(thm)],[39163, 39161])).
% 17.70/12.90 tff(39165,plain,
% 17.70/12.90 ((~![VarCurr: $i] : ((~v171(VarCurr)) | (~v170(VarCurr)))) | ((~v171(constB65)) | (~v170(constB65)))),
% 17.70/12.90 inference(quant_inst,[status(thm)],[])).
% 17.70/12.90 tff(39166,plain,
% 17.70/12.90 ((~![VarCurr: $i] : ((~v171(VarCurr)) | (~v170(VarCurr)))) | (~v170(constB65)) | (~v171(constB65))),
% 17.70/12.90 inference(modus_ponens,[status(thm)],[39165, 39164])).
% 17.70/12.90 tff(39167,plain,
% 17.70/12.90 ((~v170(constB65)) | (~v171(constB65))),
% 17.70/12.90 inference(unit_resolution,[status(thm)],[39166, 13061])).
% 17.70/12.90 tff(39168,plain,
% 17.70/12.90 (~v170(constB65)),
% 17.70/12.90 inference(unit_resolution,[status(thm)],[39167, 39160])).
% 17.70/12.90 tff(39169,plain,
% 17.70/12.90 ((~![VarCurr: $i] : (v166(VarCurr) <=> (v145(VarCurr) | v167(VarCurr)))) | (v166(constB65) <=> (v145(constB65) | v167(constB65)))),
% 17.70/12.90 inference(quant_inst,[status(thm)],[])).
% 17.70/12.90 tff(39170,plain,
% 17.70/12.90 (v166(constB65) <=> (v145(constB65) | v167(constB65))),
% 17.70/12.90 inference(unit_resolution,[status(thm)],[39169, 13079])).
% 17.70/12.90 tff(39171,plain,
% 17.70/12.90 ((~![VarCurr: $i] : (v167(VarCurr) <=> (v142(VarCurr) | v168(VarCurr)))) | (v167(constB65) <=> (v142(constB65) | v168(constB65)))),
% 17.70/12.90 inference(quant_inst,[status(thm)],[])).
% 17.70/12.90 tff(39172,plain,
% 17.70/12.90 (v167(constB65) <=> (v142(constB65) | v168(constB65))),
% 17.70/12.90 inference(unit_resolution,[status(thm)],[39171, 13091])).
% 17.70/12.90 tff(39173,plain,
% 17.70/12.90 ((v142(constB65) | v168(constB65)) | (~v142(constB65))),
% 17.70/12.90 inference(tautology,[status(thm)],[])).
% 17.70/12.90 tff(39174,plain,
% 17.70/12.90 (v142(constB65) | v168(constB65)),
% 17.70/12.90 inference(unit_resolution,[status(thm)],[39173, 31174])).
% 17.70/12.90 tff(39175,plain,
% 17.70/12.90 ((~(v167(constB65) <=> (v142(constB65) | v168(constB65)))) | v167(constB65) | (~(v142(constB65) | v168(constB65)))),
% 17.70/12.90 inference(tautology,[status(thm)],[])).
% 17.70/12.90 tff(39176,plain,
% 17.70/12.90 (v167(constB65)),
% 17.70/12.90 inference(unit_resolution,[status(thm)],[39175, 39174, 39172])).
% 17.70/12.90 tff(39177,plain,
% 17.70/12.90 ((v145(constB65) | v167(constB65)) | (~v167(constB65))),
% 17.70/12.90 inference(tautology,[status(thm)],[])).
% 17.70/12.90 tff(39178,plain,
% 17.70/12.90 (v145(constB65) | v167(constB65)),
% 17.70/12.90 inference(unit_resolution,[status(thm)],[39177, 39176])).
% 17.70/12.90 tff(39179,plain,
% 17.70/12.90 ((~(v166(constB65) <=> (v145(constB65) | v167(constB65)))) | v166(constB65) | (~(v145(constB65) | v167(constB65)))),
% 17.70/12.90 inference(tautology,[status(thm)],[])).
% 17.70/12.90 tff(39180,plain,
% 17.70/12.90 (v166(constB65)),
% 17.70/12.90 inference(unit_resolution,[status(thm)],[39179, 39178, 39170])).
% 17.70/12.90 tff(39181,plain,
% 17.70/12.90 (((~![VarNext: $i] : ((~v166(VarNext)) | (v163(VarNext) <=> v170(VarNext)))) | ((~v166(constB65)) | (v163(constB65) <=> v170(constB65)))) <=> ((~![VarNext: $i] : ((~v166(VarNext)) | (v163(VarNext) <=> v170(VarNext)))) | (~v166(constB65)) | (v163(constB65) <=> v170(constB65)))),
% 17.70/12.90 inference(rewrite,[status(thm)],[])).
% 17.70/12.90 tff(39182,plain,
% 17.70/12.90 ((~![VarNext: $i] : ((~v166(VarNext)) | (v163(VarNext) <=> v170(VarNext)))) | ((~v166(constB65)) | (v163(constB65) <=> v170(constB65)))),
% 17.70/12.90 inference(quant_inst,[status(thm)],[])).
% 17.70/12.90 tff(39183,plain,
% 17.70/12.90 ((~![VarNext: $i] : ((~v166(VarNext)) | (v163(VarNext) <=> v170(VarNext)))) | (~v166(constB65)) | (v163(constB65) <=> v170(constB65))),
% 17.70/12.90 inference(modus_ponens,[status(thm)],[39182, 39181])).
% 17.70/12.90 tff(39184,plain,
% 17.70/12.90 ((~v166(constB65)) | (v163(constB65) <=> v170(constB65))),
% 17.70/12.90 inference(unit_resolution,[status(thm)],[39183, 13111])).
% 17.70/12.90 tff(39185,plain,
% 17.70/12.90 (v163(constB65) <=> v170(constB65)),
% 17.70/12.90 inference(unit_resolution,[status(thm)],[39184, 39180])).
% 17.70/12.90 tff(39186,plain,
% 17.70/12.90 ((~(v163(constB65) <=> v170(constB65))) | (~v163(constB65)) | v170(constB65)),
% 17.70/12.90 inference(tautology,[status(thm)],[])).
% 17.70/12.90 tff(39187,plain,
% 17.70/12.90 (~v163(constB65)),
% 17.70/12.90 inference(unit_resolution,[status(thm)],[39186, 39185, 39168])).
% 17.70/12.90 tff(39188,plain,
% 17.70/12.90 ((~(v161(constB65) <=> v163(constB65))) | (~v161(constB65)) | v163(constB65)),
% 17.70/12.90 inference(tautology,[status(thm)],[])).
% 17.70/12.90 tff(39189,plain,
% 17.70/12.90 (~v161(constB65)),
% 17.70/12.90 inference(unit_resolution,[status(thm)],[39188, 39187, 39154])).
% 17.70/12.90 tff(39190,plain,
% 17.70/12.90 (((~v159(constB65)) | (~v161(constB65))) | v161(constB65)),
% 17.70/12.90 inference(tautology,[status(thm)],[])).
% 17.70/12.90 tff(39191,plain,
% 17.70/12.90 ((~v159(constB65)) | (~v161(constB65))),
% 17.70/12.90 inference(unit_resolution,[status(thm)],[39190, 39189])).
% 17.70/12.90 tff(39192,plain,
% 17.70/12.90 ((~(v201(constB65) <=> (~((~v159(constB65)) | (~v161(constB65)))))) | (~v201(constB65)) | (~((~v159(constB65)) | (~v161(constB65))))),
% 17.70/12.90 inference(tautology,[status(thm)],[])).
% 17.70/12.90 tff(39193,plain,
% 17.70/12.90 (~v201(constB65)),
% 17.70/12.90 inference(unit_resolution,[status(thm)],[39192, 39191, 39152])).
% 17.70/12.90 tff(39194,plain,
% 17.70/12.90 (((~v197(constB65)) | (~v201(constB65))) | v201(constB65)),
% 17.70/12.90 inference(tautology,[status(thm)],[])).
% 17.70/12.90 tff(39195,plain,
% 17.70/12.90 ((~v197(constB65)) | (~v201(constB65))),
% 17.70/12.90 inference(unit_resolution,[status(thm)],[39194, 39193])).
% 17.70/12.90 tff(39196,plain,
% 17.70/12.90 ((~(v200(constB65) <=> (~((~v197(constB65)) | (~v201(constB65)))))) | (~v200(constB65)) | (~((~v197(constB65)) | (~v201(constB65))))),
% 17.70/12.90 inference(tautology,[status(thm)],[])).
% 17.70/12.90 tff(39197,plain,
% 17.70/12.90 (~v200(constB65)),
% 17.70/12.90 inference(unit_resolution,[status(thm)],[39196, 39195, 39150])).
% 17.70/12.90 tff(39198,plain,
% 17.70/12.90 (((~v199(constB65)) | (~v200(constB65))) | v200(constB65)),
% 17.70/12.90 inference(tautology,[status(thm)],[])).
% 17.70/12.90 tff(39199,plain,
% 17.70/12.90 ((~v199(constB65)) | (~v200(constB65))),
% 17.70/12.90 inference(unit_resolution,[status(thm)],[39198, 39197])).
% 17.70/12.90 tff(39200,plain,
% 17.70/12.90 ((~(v198(constB65) <=> (~((~v199(constB65)) | (~v200(constB65)))))) | (~v198(constB65)) | (~((~v199(constB65)) | (~v200(constB65))))),
% 17.70/12.90 inference(tautology,[status(thm)],[])).
% 17.70/12.90 tff(39201,plain,
% 17.70/12.90 (~v198(constB65)),
% 17.70/12.90 inference(unit_resolution,[status(thm)],[39200, 39199, 39148])).
% 17.70/12.90 tff(39202,plain,
% 17.70/12.90 ((~(v194(constB65) | v198(constB65))) | v194(constB65) | v198(constB65)),
% 17.70/12.90 inference(tautology,[status(thm)],[])).
% 17.70/12.90 tff(39203,plain,
% 17.70/12.90 (~(v194(constB65) | v198(constB65))),
% 17.70/12.90 inference(unit_resolution,[status(thm)],[39202, 39201, 39146])).
% 17.70/12.90 tff(39204,plain,
% 17.70/12.90 ((~(v191(constB65) <=> (v194(constB65) | v198(constB65)))) | (~v191(constB65)) | (v194(constB65) | v198(constB65))),
% 17.70/12.90 inference(tautology,[status(thm)],[])).
% 17.70/12.90 tff(39205,plain,
% 17.70/12.90 (~v191(constB65)),
% 17.70/12.90 inference(unit_resolution,[status(thm)],[39204, 39203, 39073])).
% 17.70/12.90 tff(39206,plain,
% 17.70/12.90 ((~(v193(constB66) <=> v191(constB65))) | (~v193(constB66)) | v191(constB65)),
% 17.70/12.90 inference(tautology,[status(thm)],[])).
% 17.70/12.90 tff(39207,plain,
% 17.70/12.90 (~v193(constB66)),
% 17.70/12.90 inference(unit_resolution,[status(thm)],[39206, 39205, 39071])).
% 17.70/12.90 tff(39208,plain,
% 17.70/12.90 ((~(v157(constB66) <=> v193(constB66))) | (~v157(constB66)) | v193(constB66)),
% 17.70/12.90 inference(tautology,[status(thm)],[])).
% 17.70/12.90 tff(39209,plain,
% 17.70/12.90 (~v157(constB66)),
% 17.70/12.90 inference(unit_resolution,[status(thm)],[39208, 39207, 39067])).
% 17.70/12.90 tff(39210,plain,
% 17.70/12.90 (((~v157(constB66)) | (~v195(constB66))) | v157(constB66)),
% 17.70/12.90 inference(tautology,[status(thm)],[])).
% 17.70/12.90 tff(39211,plain,
% 17.70/12.90 ((~v157(constB66)) | (~v195(constB66))),
% 17.70/12.90 inference(unit_resolution,[status(thm)],[39210, 39209])).
% 17.70/12.90 tff(39212,plain,
% 17.70/12.90 ((~(v194(constB66) <=> (~((~v157(constB66)) | (~v195(constB66)))))) | (~v194(constB66)) | (~((~v157(constB66)) | (~v195(constB66))))),
% 17.70/12.90 inference(tautology,[status(thm)],[])).
% 17.70/12.90 tff(39213,plain,
% 17.70/12.90 (~v194(constB66)),
% 17.70/12.90 inference(unit_resolution,[status(thm)],[39212, 39211, 39065])).
% 17.70/12.90 tff(39214,plain,
% 17.70/12.90 ((~(v194(constB66) | v198(constB66))) | v194(constB66) | v198(constB66)),
% 17.70/12.90 inference(tautology,[status(thm)],[])).
% 17.70/12.90 tff(39215,plain,
% 17.70/12.90 (~(v194(constB66) | v198(constB66))),
% 17.70/12.90 inference(unit_resolution,[status(thm)],[39214, 39213, 39058])).
% 17.70/12.90 tff(39216,plain,
% 17.70/12.90 ((~(v191(constB66) <=> (v194(constB66) | v198(constB66)))) | (~v191(constB66)) | (v194(constB66) | v198(constB66))),
% 17.70/12.90 inference(tautology,[status(thm)],[])).
% 17.70/12.90 tff(39217,plain,
% 17.70/12.90 (~v191(constB66)),
% 17.70/12.90 inference(unit_resolution,[status(thm)],[39216, 39215, 39033])).
% 17.70/12.90 tff(39218,plain,
% 17.70/12.90 ((~(v193(constB67) <=> v191(constB66))) | (~v193(constB67)) | v191(constB66)),
% 17.70/12.90 inference(tautology,[status(thm)],[])).
% 17.70/12.90 tff(39219,plain,
% 17.70/12.90 (~v193(constB67)),
% 17.70/12.90 inference(unit_resolution,[status(thm)],[39218, 39217, 39031])).
% 17.70/12.90 tff(39220,plain,
% 17.70/12.90 ($false),
% 17.70/12.90 inference(unit_resolution,[status(thm)],[39219, 39027])).
% 17.70/12.90 tff(39221,plain,(~(constB67 = VarCurr!0)), inference(lemma,lemma(discharge,[]))).
% 17.70/12.90 tff(39222,assumption,(constB185 = VarCurr!0), introduced(assumption)).
% 17.70/12.90 tff(39223,plain,
% 17.70/12.90 (v86(constB185) <=> v86(VarCurr!0)),
% 17.70/12.90 inference(monotonicity,[status(thm)],[39222])).
% 17.70/12.90 tff(39224,plain,
% 17.70/12.90 (v86(VarCurr!0) <=> v86(constB185)),
% 17.70/12.90 inference(symmetry,[status(thm)],[39223])).
% 17.70/12.90 tff(39225,plain,
% 17.70/12.90 ((~v86(VarCurr!0)) <=> (~v86(constB185))),
% 17.70/12.90 inference(monotonicity,[status(thm)],[39224])).
% 17.70/12.90 tff(39226,plain,
% 17.70/12.90 (~v86(constB185)),
% 17.70/12.90 inference(modus_ponens,[status(thm)],[20649, 39225])).
% 17.70/12.90 tff(39227,plain,
% 17.70/12.90 (((~![VarCurr: $i] : (v148(VarCurr) | (~v142(VarCurr)))) | (v148(constB185) | (~v142(constB185)))) <=> ((~![VarCurr: $i] : (v148(VarCurr) | (~v142(VarCurr)))) | v148(constB185) | (~v142(constB185)))),
% 17.70/12.90 inference(rewrite,[status(thm)],[])).
% 17.70/12.90 tff(39228,plain,
% 17.70/12.90 ((~![VarCurr: $i] : (v148(VarCurr) | (~v142(VarCurr)))) | (v148(constB185) | (~v142(constB185)))),
% 17.70/12.90 inference(quant_inst,[status(thm)],[])).
% 17.70/12.90 tff(39229,plain,
% 17.70/12.90 ((~![VarCurr: $i] : (v148(VarCurr) | (~v142(VarCurr)))) | v148(constB185) | (~v142(constB185))),
% 17.70/12.90 inference(modus_ponens,[status(thm)],[39228, 39227])).
% 17.70/12.90 tff(39230,plain,
% 17.70/12.90 (v148(constB185) | (~v142(constB185))),
% 17.70/12.90 inference(unit_resolution,[status(thm)],[39229, 23525])).
% 17.70/12.90 tff(39231,plain,
% 17.70/12.90 (v148(constB185)),
% 17.70/12.90 inference(unit_resolution,[status(thm)],[39230, 29006])).
% 17.70/12.90 tff(39232,plain,
% 17.70/12.90 ((~![VarCurr: $i] : (v135(VarCurr) <=> (v136(VarCurr) | v145(VarCurr)))) | (v135(constB185) <=> (v136(constB185) | v145(constB185)))),
% 17.70/12.90 inference(quant_inst,[status(thm)],[])).
% 17.70/12.90 tff(39233,plain,
% 17.70/12.90 (v135(constB185) <=> (v136(constB185) | v145(constB185))),
% 17.70/12.90 inference(unit_resolution,[status(thm)],[39232, 23537])).
% 17.70/12.90 tff(39234,plain,
% 17.70/12.90 ((~![VarCurr: $i] : (v136(VarCurr) <=> (v137(VarCurr) | v142(VarCurr)))) | (v136(constB185) <=> (v137(constB185) | v142(constB185)))),
% 17.70/12.90 inference(quant_inst,[status(thm)],[])).
% 17.70/12.90 tff(39235,plain,
% 17.70/12.90 (v136(constB185) <=> (v137(constB185) | v142(constB185))),
% 17.70/12.90 inference(unit_resolution,[status(thm)],[39234, 23546])).
% 17.70/12.90 tff(39236,plain,
% 17.70/12.90 ((v137(constB185) | v142(constB185)) | (~v142(constB185))),
% 17.70/12.90 inference(tautology,[status(thm)],[])).
% 17.70/12.90 tff(39237,plain,
% 17.70/12.90 (v137(constB185) | v142(constB185)),
% 17.70/12.90 inference(unit_resolution,[status(thm)],[39236, 29006])).
% 17.70/12.90 tff(39238,plain,
% 17.70/12.90 ((~(v136(constB185) <=> (v137(constB185) | v142(constB185)))) | v136(constB185) | (~(v137(constB185) | v142(constB185)))),
% 17.70/12.90 inference(tautology,[status(thm)],[])).
% 17.70/12.90 tff(39239,plain,
% 17.70/12.90 (v136(constB185)),
% 17.70/12.90 inference(unit_resolution,[status(thm)],[39238, 39237, 39235])).
% 17.70/12.90 tff(39240,plain,
% 17.70/12.90 ((v136(constB185) | v145(constB185)) | (~v136(constB185))),
% 17.70/12.90 inference(tautology,[status(thm)],[])).
% 17.70/12.90 tff(39241,plain,
% 17.70/12.90 (v136(constB185) | v145(constB185)),
% 17.70/12.90 inference(unit_resolution,[status(thm)],[39240, 39239])).
% 17.70/12.90 tff(39242,plain,
% 17.70/12.90 ((~(v135(constB185) <=> (v136(constB185) | v145(constB185)))) | v135(constB185) | (~(v136(constB185) | v145(constB185)))),
% 17.70/12.90 inference(tautology,[status(thm)],[])).
% 17.70/12.90 tff(39243,plain,
% 17.70/12.90 (v135(constB185)),
% 17.70/12.90 inference(unit_resolution,[status(thm)],[39242, 39241, 39233])).
% 17.70/12.90 tff(39244,plain,
% 17.70/12.90 (((~![VarNext: $i] : ((~v135(VarNext)) | (v86(VarNext) <=> v148(VarNext)))) | ((~v135(constB185)) | (v86(constB185) <=> v148(constB185)))) <=> ((~![VarNext: $i] : ((~v135(VarNext)) | (v86(VarNext) <=> v148(VarNext)))) | (~v135(constB185)) | (v86(constB185) <=> v148(constB185)))),
% 17.70/12.90 inference(rewrite,[status(thm)],[])).
% 17.70/12.90 tff(39245,plain,
% 17.70/12.90 ((~![VarNext: $i] : ((~v135(VarNext)) | (v86(VarNext) <=> v148(VarNext)))) | ((~v135(constB185)) | (v86(constB185) <=> v148(constB185)))),
% 17.70/12.90 inference(quant_inst,[status(thm)],[])).
% 17.70/12.90 tff(39246,plain,
% 17.70/12.90 ((~![VarNext: $i] : ((~v135(VarNext)) | (v86(VarNext) <=> v148(VarNext)))) | (~v135(constB185)) | (v86(constB185) <=> v148(constB185))),
% 17.70/12.90 inference(modus_ponens,[status(thm)],[39245, 39244])).
% 17.70/12.90 tff(39247,plain,
% 17.70/12.90 ((~v135(constB185)) | (v86(constB185) <=> v148(constB185))),
% 17.70/12.90 inference(unit_resolution,[status(thm)],[39246, 23566])).
% 17.70/12.90 tff(39248,plain,
% 17.70/12.90 (v86(constB185) <=> v148(constB185)),
% 17.70/12.90 inference(unit_resolution,[status(thm)],[39247, 39243])).
% 17.70/12.90 tff(39249,plain,
% 17.70/12.90 ((~(v86(constB185) <=> v148(constB185))) | v86(constB185) | (~v148(constB185))),
% 17.70/12.90 inference(tautology,[status(thm)],[])).
% 17.70/12.90 tff(39250,plain,
% 17.70/12.90 (v86(constB185)),
% 17.70/12.90 inference(unit_resolution,[status(thm)],[39249, 39248, 39231])).
% 17.70/12.90 tff(39251,plain,
% 17.70/12.90 ($false),
% 17.70/12.90 inference(unit_resolution,[status(thm)],[39250, 39226])).
% 17.70/12.90 tff(39252,plain,(~(constB185 = VarCurr!0)), inference(lemma,lemma(discharge,[]))).
% 17.70/12.90 tff(39253,assumption,(constB173 = VarCurr!0), introduced(assumption)).
% 17.70/12.90 tff(39254,plain,
% 17.70/12.90 (v193(constB173) <=> v193(VarCurr!0)),
% 17.70/12.90 inference(monotonicity,[status(thm)],[39253])).
% 17.70/12.90 tff(39255,plain,
% 17.70/12.90 (v193(VarCurr!0) <=> v193(constB173)),
% 17.70/12.90 inference(symmetry,[status(thm)],[39254])).
% 17.70/12.90 tff(39256,plain,
% 17.70/12.90 (v193(constB173)),
% 17.70/12.90 inference(modus_ponens,[status(thm)],[59, 39255])).
% 17.70/12.90 tff(39257,plain,
% 17.70/12.90 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v193(VarNext) <=> v191(VarCurr)))) | ((~nextState(constB172, constB173)) | (v193(constB173) <=> v191(constB172)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v193(VarNext) <=> v191(VarCurr)))) | (~nextState(constB172, constB173)) | (v193(constB173) <=> v191(constB172)))),
% 17.70/12.90 inference(rewrite,[status(thm)],[])).
% 17.70/12.90 tff(39258,plain,
% 17.70/12.90 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v193(VarNext) <=> v191(VarCurr)))) | ((~nextState(constB172, constB173)) | (v193(constB173) <=> v191(constB172)))),
% 17.70/12.90 inference(quant_inst,[status(thm)],[])).
% 17.70/12.90 tff(39259,plain,
% 17.70/12.90 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v193(VarNext) <=> v191(VarCurr)))) | (~nextState(constB172, constB173)) | (v193(constB173) <=> v191(constB172))),
% 17.70/12.90 inference(modus_ponens,[status(thm)],[39258, 39257])).
% 17.70/12.90 tff(39260,plain,
% 17.70/12.90 (v193(constB173) <=> v191(constB172)),
% 17.70/12.90 inference(unit_resolution,[status(thm)],[39259, 24849, 70])).
% 17.70/12.90 tff(39261,plain,
% 17.70/12.90 ((~![VarCurr: $i] : (v191(VarCurr) <=> (v194(VarCurr) | v198(VarCurr)))) | (v191(constB172) <=> (v194(constB172) | v198(constB172)))),
% 17.70/12.90 inference(quant_inst,[status(thm)],[])).
% 17.70/12.90 tff(39262,plain,
% 17.70/12.90 (v191(constB172) <=> (v194(constB172) | v198(constB172))),
% 17.70/12.90 inference(unit_resolution,[status(thm)],[39261, 84])).
% 17.70/12.90 tff(39263,plain,
% 17.70/12.90 ((~![VarCurr: $i] : (v198(VarCurr) <=> (~((~v199(VarCurr)) | (~v200(VarCurr)))))) | (v198(constB172) <=> (~((~v199(constB172)) | (~v200(constB172)))))),
% 17.70/12.90 inference(quant_inst,[status(thm)],[])).
% 17.70/12.90 tff(39264,plain,
% 17.70/12.90 (v198(constB172) <=> (~((~v199(constB172)) | (~v200(constB172))))),
% 17.70/12.91 inference(unit_resolution,[status(thm)],[39263, 96])).
% 17.70/12.91 tff(39265,plain,
% 17.70/12.91 ((~![VarCurr: $i] : (v200(VarCurr) <=> (~((~v197(VarCurr)) | (~v201(VarCurr)))))) | (v200(constB172) <=> (~((~v197(constB172)) | (~v201(constB172)))))),
% 17.70/12.91 inference(quant_inst,[status(thm)],[])).
% 17.70/12.91 tff(39266,plain,
% 17.70/12.91 (v200(constB172) <=> (~((~v197(constB172)) | (~v201(constB172))))),
% 17.70/12.91 inference(unit_resolution,[status(thm)],[39265, 108])).
% 17.70/12.91 tff(39267,plain,
% 17.70/12.91 ((~![VarCurr: $i] : (v197(VarCurr) <=> (~((~v39(VarCurr)) | (~v9(VarCurr)))))) | (v197(constB172) <=> (~((~v39(constB172)) | (~v9(constB172)))))),
% 17.70/12.91 inference(quant_inst,[status(thm)],[])).
% 17.70/12.91 tff(39268,plain,
% 17.70/12.91 (v197(constB172) <=> (~((~v39(constB172)) | (~v9(constB172))))),
% 17.70/12.91 inference(unit_resolution,[status(thm)],[39267, 120])).
% 17.70/12.91 tff(39269,plain,
% 17.70/12.91 ((~![VarCurr: $i] : ((~v39(VarCurr)) <=> v1(VarCurr))) | ((~v39(constB172)) <=> v1(constB172))),
% 17.70/12.91 inference(quant_inst,[status(thm)],[])).
% 17.70/12.91 tff(39270,plain,
% 17.70/12.91 ((~v39(constB172)) <=> v1(constB172)),
% 17.70/12.91 inference(unit_resolution,[status(thm)],[39269, 129])).
% 17.70/12.91 tff(39271,plain,
% 17.70/12.91 ((~((~v39(constB172)) <=> v1(constB172))) | (~v39(constB172)) | (~v1(constB172))),
% 17.70/12.91 inference(tautology,[status(thm)],[])).
% 17.70/12.91 tff(39272,plain,
% 17.70/12.91 ((~((~v39(constB172)) <=> v1(constB172))) | (~v39(constB172))),
% 17.70/12.91 inference(unit_resolution,[status(thm)],[39271, 24911])).
% 17.70/12.91 tff(39273,plain,
% 17.70/12.91 (~v39(constB172)),
% 17.70/12.91 inference(unit_resolution,[status(thm)],[39272, 39270])).
% 17.70/12.91 tff(39274,plain,
% 17.70/12.91 (((~v39(constB172)) | (~v9(constB172))) | v39(constB172)),
% 17.70/12.91 inference(tautology,[status(thm)],[])).
% 17.70/12.91 tff(39275,plain,
% 17.70/12.91 ((~v39(constB172)) | (~v9(constB172))),
% 17.70/12.91 inference(unit_resolution,[status(thm)],[39274, 39273])).
% 17.70/12.91 tff(39276,plain,
% 17.70/12.91 ((~(v197(constB172) <=> (~((~v39(constB172)) | (~v9(constB172)))))) | (~v197(constB172)) | (~((~v39(constB172)) | (~v9(constB172))))),
% 17.70/12.91 inference(tautology,[status(thm)],[])).
% 17.70/12.91 tff(39277,plain,
% 17.70/12.91 ((~(v197(constB172) <=> (~((~v39(constB172)) | (~v9(constB172)))))) | (~v197(constB172))),
% 17.70/12.91 inference(unit_resolution,[status(thm)],[39276, 39275])).
% 17.70/12.91 tff(39278,plain,
% 17.70/12.91 (~v197(constB172)),
% 17.70/12.91 inference(unit_resolution,[status(thm)],[39277, 39268])).
% 17.70/12.91 tff(39279,plain,
% 17.70/12.91 (((~v197(constB172)) | (~v201(constB172))) | v197(constB172)),
% 17.70/12.91 inference(tautology,[status(thm)],[])).
% 17.70/12.91 tff(39280,plain,
% 17.70/12.91 ((~v197(constB172)) | (~v201(constB172))),
% 17.70/12.91 inference(unit_resolution,[status(thm)],[39279, 39278])).
% 17.70/12.91 tff(39281,plain,
% 17.70/12.91 ((~(v200(constB172) <=> (~((~v197(constB172)) | (~v201(constB172)))))) | (~v200(constB172)) | (~((~v197(constB172)) | (~v201(constB172))))),
% 17.70/12.91 inference(tautology,[status(thm)],[])).
% 17.70/12.91 tff(39282,plain,
% 17.70/12.91 ((~(v200(constB172) <=> (~((~v197(constB172)) | (~v201(constB172)))))) | (~v200(constB172))),
% 17.70/12.91 inference(unit_resolution,[status(thm)],[39281, 39280])).
% 17.70/12.91 tff(39283,plain,
% 17.70/12.91 (~v200(constB172)),
% 17.70/12.91 inference(unit_resolution,[status(thm)],[39282, 39266])).
% 17.70/12.91 tff(39284,plain,
% 17.70/12.91 (((~v199(constB172)) | (~v200(constB172))) | v200(constB172)),
% 17.70/12.91 inference(tautology,[status(thm)],[])).
% 17.70/12.91 tff(39285,plain,
% 17.70/12.91 ((~v199(constB172)) | (~v200(constB172))),
% 17.70/12.91 inference(unit_resolution,[status(thm)],[39284, 39283])).
% 17.70/12.91 tff(39286,plain,
% 17.70/12.91 ((~(v198(constB172) <=> (~((~v199(constB172)) | (~v200(constB172)))))) | (~v198(constB172)) | (~((~v199(constB172)) | (~v200(constB172))))),
% 17.70/12.91 inference(tautology,[status(thm)],[])).
% 17.70/12.91 tff(39287,plain,
% 17.70/12.91 (~v198(constB172)),
% 17.70/12.91 inference(unit_resolution,[status(thm)],[39286, 39285, 39264])).
% 17.70/12.91 tff(39288,plain,
% 17.70/12.91 (((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB172) <=> (~((~v157(constB172)) | (~v195(constB172)))))) <=> ((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB172) <=> (~((~v157(constB172)) | (~v195(constB172))))))),
% 17.70/12.91 inference(rewrite,[status(thm)],[])).
% 17.70/12.91 tff(39289,plain,
% 17.70/12.91 ((v194(constB172) <=> (~((~v195(constB172)) | (~v157(constB172))))) <=> (v194(constB172) <=> (~((~v157(constB172)) | (~v195(constB172)))))),
% 17.70/12.91 inference(rewrite,[status(thm)],[])).
% 17.70/12.91 tff(39290,plain,
% 17.70/12.91 (((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB172) <=> (~((~v195(constB172)) | (~v157(constB172)))))) <=> ((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB172) <=> (~((~v157(constB172)) | (~v195(constB172))))))),
% 17.70/12.91 inference(monotonicity,[status(thm)],[39289])).
% 17.70/12.91 tff(39291,plain,
% 17.70/12.91 (((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB172) <=> (~((~v195(constB172)) | (~v157(constB172)))))) <=> ((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB172) <=> (~((~v157(constB172)) | (~v195(constB172))))))),
% 17.70/12.91 inference(transitivity,[status(thm)],[39290, 39288])).
% 17.70/12.91 tff(39292,plain,
% 17.70/12.91 ((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB172) <=> (~((~v195(constB172)) | (~v157(constB172)))))),
% 17.70/12.91 inference(quant_inst,[status(thm)],[])).
% 17.70/12.91 tff(39293,plain,
% 17.70/12.91 ((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB172) <=> (~((~v157(constB172)) | (~v195(constB172)))))),
% 17.70/12.91 inference(modus_ponens,[status(thm)],[39292, 39291])).
% 17.70/12.91 tff(39294,plain,
% 17.70/12.91 (v194(constB172) <=> (~((~v157(constB172)) | (~v195(constB172))))),
% 17.70/12.91 inference(unit_resolution,[status(thm)],[39293, 161])).
% 17.70/12.91 tff(39295,plain,
% 17.70/12.91 ((~![VarNext: $i] : (v157(VarNext) <=> v193(VarNext))) | (v157(constB172) <=> v193(constB172))),
% 17.70/12.91 inference(quant_inst,[status(thm)],[])).
% 17.70/12.91 tff(39296,plain,
% 17.70/12.91 (v157(constB172) <=> v193(constB172)),
% 17.70/12.91 inference(unit_resolution,[status(thm)],[39295, 13])).
% 17.70/12.91 tff(39297,plain,
% 17.70/12.91 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v193(VarNext) <=> v191(VarCurr)))) | ((~nextState(constB171, constB172)) | (v193(constB172) <=> v191(constB171)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v193(VarNext) <=> v191(VarCurr)))) | (~nextState(constB171, constB172)) | (v193(constB172) <=> v191(constB171)))),
% 17.70/12.91 inference(rewrite,[status(thm)],[])).
% 17.70/12.91 tff(39298,plain,
% 17.70/12.91 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v193(VarNext) <=> v191(VarCurr)))) | ((~nextState(constB171, constB172)) | (v193(constB172) <=> v191(constB171)))),
% 17.70/12.91 inference(quant_inst,[status(thm)],[])).
% 17.70/12.91 tff(39299,plain,
% 17.70/12.91 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v193(VarNext) <=> v191(VarCurr)))) | (~nextState(constB171, constB172)) | (v193(constB172) <=> v191(constB171))),
% 17.70/12.91 inference(modus_ponens,[status(thm)],[39298, 39297])).
% 17.70/12.91 tff(39300,plain,
% 17.70/12.91 (v193(constB172) <=> v191(constB171)),
% 17.70/12.91 inference(unit_resolution,[status(thm)],[39299, 24881, 70])).
% 17.70/12.91 tff(39301,plain,
% 17.70/12.91 ((~![VarCurr: $i] : (v191(VarCurr) <=> (v194(VarCurr) | v198(VarCurr)))) | (v191(constB171) <=> (v194(constB171) | v198(constB171)))),
% 17.70/12.91 inference(quant_inst,[status(thm)],[])).
% 17.70/12.91 tff(39302,plain,
% 17.70/12.91 (v191(constB171) <=> (v194(constB171) | v198(constB171))),
% 17.70/12.91 inference(unit_resolution,[status(thm)],[39301, 84])).
% 17.70/12.91 tff(39303,plain,
% 17.70/12.91 (((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB171) <=> (~((~v157(constB171)) | (~v195(constB171)))))) <=> ((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB171) <=> (~((~v157(constB171)) | (~v195(constB171))))))),
% 17.70/12.91 inference(rewrite,[status(thm)],[])).
% 17.70/12.91 tff(39304,plain,
% 17.70/12.91 ((v194(constB171) <=> (~((~v195(constB171)) | (~v157(constB171))))) <=> (v194(constB171) <=> (~((~v157(constB171)) | (~v195(constB171)))))),
% 17.70/12.91 inference(rewrite,[status(thm)],[])).
% 17.70/12.91 tff(39305,plain,
% 17.70/12.91 (((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB171) <=> (~((~v195(constB171)) | (~v157(constB171)))))) <=> ((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB171) <=> (~((~v157(constB171)) | (~v195(constB171))))))),
% 17.70/12.91 inference(monotonicity,[status(thm)],[39304])).
% 17.70/12.91 tff(39306,plain,
% 17.70/12.91 (((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB171) <=> (~((~v195(constB171)) | (~v157(constB171)))))) <=> ((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB171) <=> (~((~v157(constB171)) | (~v195(constB171))))))),
% 17.70/12.91 inference(transitivity,[status(thm)],[39305, 39303])).
% 17.70/12.91 tff(39307,plain,
% 17.70/12.91 ((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB171) <=> (~((~v195(constB171)) | (~v157(constB171)))))),
% 17.70/12.91 inference(quant_inst,[status(thm)],[])).
% 17.70/12.91 tff(39308,plain,
% 17.70/12.91 ((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB171) <=> (~((~v157(constB171)) | (~v195(constB171)))))),
% 17.70/12.91 inference(modus_ponens,[status(thm)],[39307, 39306])).
% 17.70/12.91 tff(39309,plain,
% 17.70/12.91 (v194(constB171) <=> (~((~v157(constB171)) | (~v195(constB171))))),
% 17.70/12.91 inference(unit_resolution,[status(thm)],[39308, 161])).
% 17.70/12.91 tff(39310,plain,
% 17.70/12.91 ((~![VarCurr: $i] : ((~v195(VarCurr)) <=> v196(VarCurr))) | ((~v195(constB171)) <=> v196(constB171))),
% 17.70/12.91 inference(quant_inst,[status(thm)],[])).
% 17.70/12.91 tff(39311,plain,
% 17.70/12.91 ((~v195(constB171)) <=> v196(constB171)),
% 17.70/12.91 inference(unit_resolution,[status(thm)],[39310, 193])).
% 17.70/12.91 tff(39312,plain,
% 17.70/12.91 ((~![VarCurr: $i] : (v196(VarCurr) <=> (v197(VarCurr) | v26(VarCurr)))) | (v196(constB171) <=> (v197(constB171) | v26(constB171)))),
% 17.70/12.91 inference(quant_inst,[status(thm)],[])).
% 17.70/12.91 tff(39313,plain,
% 17.70/12.91 (v196(constB171) <=> (v197(constB171) | v26(constB171))),
% 17.70/12.91 inference(unit_resolution,[status(thm)],[39312, 202])).
% 17.70/12.91 tff(39314,plain,
% 17.70/12.91 ((~![VarCurr: $i] : (v197(VarCurr) <=> (~((~v39(VarCurr)) | (~v9(VarCurr)))))) | (v197(constB171) <=> (~((~v39(constB171)) | (~v9(constB171)))))),
% 17.70/12.91 inference(quant_inst,[status(thm)],[])).
% 17.70/12.91 tff(39315,plain,
% 17.70/12.91 (v197(constB171) <=> (~((~v39(constB171)) | (~v9(constB171))))),
% 17.70/12.91 inference(unit_resolution,[status(thm)],[39314, 120])).
% 17.70/12.91 tff(39316,plain,
% 17.70/12.91 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | ((~nextState(constB171, constB172)) | (v13(constB172) <=> v9(constB171)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | (~nextState(constB171, constB172)) | (v13(constB172) <=> v9(constB171)))),
% 17.70/12.91 inference(rewrite,[status(thm)],[])).
% 17.70/12.91 tff(39317,plain,
% 17.70/12.91 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | ((~nextState(constB171, constB172)) | (v13(constB172) <=> v9(constB171)))),
% 17.70/12.91 inference(quant_inst,[status(thm)],[])).
% 17.70/12.91 tff(39318,plain,
% 17.70/12.91 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | (~nextState(constB171, constB172)) | (v13(constB172) <=> v9(constB171))),
% 17.70/12.91 inference(modus_ponens,[status(thm)],[39317, 39316])).
% 17.70/12.91 tff(39319,plain,
% 17.70/12.91 (v13(constB172) <=> v9(constB171)),
% 17.70/12.91 inference(unit_resolution,[status(thm)],[39318, 24881, 216])).
% 17.70/12.91 tff(39320,plain,
% 17.70/12.91 ((~![VarNext: $i] : (v6(VarNext) <=> v13(VarNext))) | (v6(constB172) <=> v13(constB172))),
% 17.70/12.91 inference(quant_inst,[status(thm)],[])).
% 17.70/12.91 tff(39321,plain,
% 17.70/12.91 (v6(constB172) <=> v13(constB172)),
% 17.70/12.91 inference(unit_resolution,[status(thm)],[39320, 230])).
% 17.70/12.91 tff(39322,plain,
% 17.70/12.91 ((~![VarCurr: $i] : ((~v21(VarCurr)) <=> v6(VarCurr))) | ((~v21(constB172)) <=> v6(constB172))),
% 17.70/12.91 inference(quant_inst,[status(thm)],[])).
% 17.70/12.91 tff(39323,plain,
% 17.70/12.91 ((~v21(constB172)) <=> v6(constB172)),
% 17.70/12.91 inference(unit_resolution,[status(thm)],[39322, 239])).
% 17.70/12.91 tff(39324,plain,
% 17.70/12.91 ((~![VarCurr: $i] : (v19(VarCurr) <=> (v20(VarCurr) | v21(VarCurr)))) | (v19(constB172) <=> (v20(constB172) | v21(constB172)))),
% 17.70/12.91 inference(quant_inst,[status(thm)],[])).
% 17.70/12.91 tff(39325,plain,
% 17.70/12.91 (v19(constB172) <=> (v20(constB172) | v21(constB172))),
% 17.70/12.91 inference(unit_resolution,[status(thm)],[39324, 248])).
% 17.70/12.91 tff(39326,plain,
% 17.70/12.91 ((~![VarCurr: $i] : (v18(VarCurr) <=> (~((~v19(VarCurr)) | (~v22(VarCurr)))))) | (v18(constB172) <=> (~((~v19(constB172)) | (~v22(constB172)))))),
% 17.70/12.91 inference(quant_inst,[status(thm)],[])).
% 17.70/12.91 tff(39327,plain,
% 17.70/12.91 (v18(constB172) <=> (~((~v19(constB172)) | (~v22(constB172))))),
% 17.70/12.91 inference(unit_resolution,[status(thm)],[39326, 260])).
% 17.70/12.91 tff(39328,plain,
% 17.70/12.91 ((~![VarCurr: $i] : ((~v4(VarCurr)) <=> v18(VarCurr))) | ((~v4(constB172)) <=> v18(constB172))),
% 17.70/12.91 inference(quant_inst,[status(thm)],[])).
% 17.70/12.91 tff(39329,plain,
% 17.70/12.91 ((~v4(constB172)) <=> v18(constB172)),
% 17.70/12.91 inference(unit_resolution,[status(thm)],[39328, 269])).
% 17.70/12.91 tff(39330,plain,
% 17.70/12.91 ((~![VarCurr: $i] : v4(VarCurr)) | v4(constB172)),
% 17.70/12.91 inference(quant_inst,[status(thm)],[])).
% 17.70/12.91 tff(39331,plain,
% 17.70/12.91 (v4(constB172)),
% 17.70/12.91 inference(unit_resolution,[status(thm)],[39330, 278])).
% 17.70/12.91 tff(39332,plain,
% 17.70/12.91 ((~((~v4(constB172)) <=> v18(constB172))) | (~v4(constB172)) | (~v18(constB172))),
% 17.70/12.91 inference(tautology,[status(thm)],[])).
% 17.70/12.91 tff(39333,plain,
% 17.70/12.91 (~v18(constB172)),
% 17.70/12.91 inference(unit_resolution,[status(thm)],[39332, 39331, 39329])).
% 17.70/12.91 tff(39334,plain,
% 17.70/12.91 ((~(v18(constB172) <=> (~((~v19(constB172)) | (~v22(constB172)))))) | v18(constB172) | ((~v19(constB172)) | (~v22(constB172)))),
% 17.70/12.91 inference(tautology,[status(thm)],[])).
% 17.70/12.91 tff(39335,plain,
% 17.70/12.91 ((~v19(constB172)) | (~v22(constB172))),
% 17.70/12.91 inference(unit_resolution,[status(thm)],[39334, 39333, 39327])).
% 17.70/12.91 tff(39336,plain,
% 17.70/12.91 ((~![VarCurr: $i] : (v22(VarCurr) <=> (v1(VarCurr) | v6(VarCurr)))) | (v22(constB172) <=> (v1(constB172) | v6(constB172)))),
% 17.70/12.91 inference(quant_inst,[status(thm)],[])).
% 17.70/12.91 tff(39337,plain,
% 17.70/12.91 (v22(constB172) <=> (v1(constB172) | v6(constB172))),
% 17.70/12.91 inference(unit_resolution,[status(thm)],[39336, 291])).
% 17.70/12.91 tff(39338,plain,
% 17.70/12.91 ((v1(constB172) | v6(constB172)) | (~v1(constB172))),
% 17.70/12.91 inference(tautology,[status(thm)],[])).
% 17.70/12.91 tff(39339,plain,
% 17.70/12.91 (v1(constB172) | v6(constB172)),
% 17.70/12.91 inference(unit_resolution,[status(thm)],[39338, 24911])).
% 17.70/12.91 tff(39340,plain,
% 17.70/12.91 ((~(v22(constB172) <=> (v1(constB172) | v6(constB172)))) | v22(constB172) | (~(v1(constB172) | v6(constB172)))),
% 17.70/12.91 inference(tautology,[status(thm)],[])).
% 17.70/12.91 tff(39341,plain,
% 17.70/12.91 ((~(v22(constB172) <=> (v1(constB172) | v6(constB172)))) | v22(constB172)),
% 17.70/12.91 inference(unit_resolution,[status(thm)],[39340, 39339])).
% 17.70/12.91 tff(39342,plain,
% 17.70/12.91 (v22(constB172)),
% 17.70/12.91 inference(unit_resolution,[status(thm)],[39341, 39337])).
% 17.70/12.91 tff(39343,plain,
% 17.70/12.91 ((~((~v19(constB172)) | (~v22(constB172)))) | (~v19(constB172)) | (~v22(constB172))),
% 17.70/12.91 inference(tautology,[status(thm)],[])).
% 17.70/12.91 tff(39344,plain,
% 17.70/12.91 ((~((~v19(constB172)) | (~v22(constB172)))) | (~v19(constB172))),
% 17.70/12.91 inference(unit_resolution,[status(thm)],[39343, 39342])).
% 17.70/12.91 tff(39345,plain,
% 17.70/12.91 (~v19(constB172)),
% 17.70/12.91 inference(unit_resolution,[status(thm)],[39344, 39335])).
% 17.70/12.91 tff(39346,plain,
% 17.70/12.91 ((~(v19(constB172) <=> (v20(constB172) | v21(constB172)))) | v19(constB172) | (~(v20(constB172) | v21(constB172)))),
% 17.70/12.91 inference(tautology,[status(thm)],[])).
% 17.70/12.91 tff(39347,plain,
% 17.70/12.91 (~(v20(constB172) | v21(constB172))),
% 17.70/12.91 inference(unit_resolution,[status(thm)],[39346, 39345, 39325])).
% 17.70/12.91 tff(39348,plain,
% 17.70/12.91 ((v20(constB172) | v21(constB172)) | (~v21(constB172))),
% 17.70/12.91 inference(tautology,[status(thm)],[])).
% 17.70/12.91 tff(39349,plain,
% 17.70/12.91 (~v21(constB172)),
% 17.70/12.91 inference(unit_resolution,[status(thm)],[39348, 39347])).
% 17.70/12.91 tff(39350,plain,
% 17.70/12.91 ((~((~v21(constB172)) <=> v6(constB172))) | v21(constB172) | v6(constB172)),
% 17.70/12.91 inference(tautology,[status(thm)],[])).
% 17.70/12.91 tff(39351,plain,
% 17.70/12.91 (v6(constB172)),
% 17.70/12.91 inference(unit_resolution,[status(thm)],[39350, 39349, 39323])).
% 17.70/12.91 tff(39352,plain,
% 17.70/12.91 ((~(v6(constB172) <=> v13(constB172))) | (~v6(constB172)) | v13(constB172)),
% 17.70/12.91 inference(tautology,[status(thm)],[])).
% 17.70/12.91 tff(39353,plain,
% 17.70/12.91 (v13(constB172)),
% 17.70/12.91 inference(unit_resolution,[status(thm)],[39352, 39351, 39321])).
% 17.70/12.91 tff(39354,plain,
% 17.70/12.91 ((~(v13(constB172) <=> v9(constB171))) | (~v13(constB172)) | v9(constB171)),
% 17.70/12.91 inference(tautology,[status(thm)],[])).
% 17.70/12.91 tff(39355,plain,
% 17.70/12.91 (v9(constB171)),
% 17.70/12.91 inference(unit_resolution,[status(thm)],[39354, 39353, 39319])).
% 17.70/12.91 tff(39356,plain,
% 17.70/12.91 ((~![VarCurr: $i] : ((~v39(VarCurr)) <=> v1(VarCurr))) | ((~v39(constB171)) <=> v1(constB171))),
% 17.70/12.91 inference(quant_inst,[status(thm)],[])).
% 17.70/12.91 tff(39357,plain,
% 17.70/12.91 ((~v39(constB171)) <=> v1(constB171)),
% 17.70/12.91 inference(unit_resolution,[status(thm)],[39356, 129])).
% 17.70/12.91 tff(39358,plain,
% 17.70/12.91 ((~((~v39(constB171)) <=> v1(constB171))) | v39(constB171) | v1(constB171)),
% 17.70/12.91 inference(tautology,[status(thm)],[])).
% 17.70/12.91 tff(39359,plain,
% 17.70/12.91 ((~((~v39(constB171)) <=> v1(constB171))) | v39(constB171)),
% 17.70/12.91 inference(unit_resolution,[status(thm)],[39358, 24903])).
% 17.70/12.91 tff(39360,plain,
% 17.70/12.91 (v39(constB171)),
% 17.70/12.91 inference(unit_resolution,[status(thm)],[39359, 39357])).
% 17.70/12.91 tff(39361,plain,
% 17.70/12.91 ((~((~v39(constB171)) | (~v9(constB171)))) | (~v39(constB171)) | (~v9(constB171))),
% 17.70/12.91 inference(tautology,[status(thm)],[])).
% 17.70/12.91 tff(39362,plain,
% 17.70/12.91 ((~((~v39(constB171)) | (~v9(constB171)))) | (~v9(constB171))),
% 17.70/12.91 inference(unit_resolution,[status(thm)],[39361, 39360])).
% 17.70/12.91 tff(39363,plain,
% 17.70/12.91 (~((~v39(constB171)) | (~v9(constB171)))),
% 17.70/12.91 inference(unit_resolution,[status(thm)],[39362, 39355])).
% 17.70/12.91 tff(39364,plain,
% 17.70/12.91 ((~(v197(constB171) <=> (~((~v39(constB171)) | (~v9(constB171)))))) | v197(constB171) | ((~v39(constB171)) | (~v9(constB171)))),
% 17.70/12.91 inference(tautology,[status(thm)],[])).
% 17.70/12.91 tff(39365,plain,
% 17.70/12.91 (v197(constB171)),
% 17.70/12.91 inference(unit_resolution,[status(thm)],[39364, 39363, 39315])).
% 17.70/12.91 tff(39366,plain,
% 17.70/12.91 ((v197(constB171) | v26(constB171)) | (~v197(constB171))),
% 17.70/12.91 inference(tautology,[status(thm)],[])).
% 17.70/12.91 tff(39367,plain,
% 17.70/12.91 (v197(constB171) | v26(constB171)),
% 17.70/12.91 inference(unit_resolution,[status(thm)],[39366, 39365])).
% 17.70/12.91 tff(39368,plain,
% 17.70/12.91 ((~(v196(constB171) <=> (v197(constB171) | v26(constB171)))) | v196(constB171) | (~(v197(constB171) | v26(constB171)))),
% 17.70/12.91 inference(tautology,[status(thm)],[])).
% 17.70/12.91 tff(39369,plain,
% 17.70/12.91 (v196(constB171)),
% 17.70/12.91 inference(unit_resolution,[status(thm)],[39368, 39367, 39313])).
% 17.70/12.91 tff(39370,plain,
% 17.70/12.91 ((~((~v195(constB171)) <=> v196(constB171))) | (~v195(constB171)) | (~v196(constB171))),
% 17.70/12.91 inference(tautology,[status(thm)],[])).
% 17.70/12.91 tff(39371,plain,
% 17.70/12.91 (~v195(constB171)),
% 17.70/12.91 inference(unit_resolution,[status(thm)],[39370, 39369, 39311])).
% 17.70/12.91 tff(39372,plain,
% 17.70/12.91 (((~v157(constB171)) | (~v195(constB171))) | v195(constB171)),
% 17.70/12.91 inference(tautology,[status(thm)],[])).
% 17.70/12.91 tff(39373,plain,
% 17.70/12.91 ((~v157(constB171)) | (~v195(constB171))),
% 17.70/12.91 inference(unit_resolution,[status(thm)],[39372, 39371])).
% 17.70/12.91 tff(39374,plain,
% 17.70/12.91 ((~(v194(constB171) <=> (~((~v157(constB171)) | (~v195(constB171)))))) | (~v194(constB171)) | (~((~v157(constB171)) | (~v195(constB171))))),
% 17.70/12.91 inference(tautology,[status(thm)],[])).
% 17.70/12.91 tff(39375,plain,
% 17.70/12.91 (~v194(constB171)),
% 17.70/12.91 inference(unit_resolution,[status(thm)],[39374, 39373, 39309])).
% 17.70/12.91 tff(39376,plain,
% 17.70/12.91 ((~![VarCurr: $i] : (v198(VarCurr) <=> (~((~v199(VarCurr)) | (~v200(VarCurr)))))) | (v198(constB171) <=> (~((~v199(constB171)) | (~v200(constB171)))))),
% 17.70/12.91 inference(quant_inst,[status(thm)],[])).
% 17.70/12.91 tff(39377,plain,
% 17.70/12.91 (v198(constB171) <=> (~((~v199(constB171)) | (~v200(constB171))))),
% 17.70/12.91 inference(unit_resolution,[status(thm)],[39376, 96])).
% 17.70/12.91 tff(39378,plain,
% 17.70/12.91 ((~![VarCurr: $i] : (v200(VarCurr) <=> (~((~v197(VarCurr)) | (~v201(VarCurr)))))) | (v200(constB171) <=> (~((~v197(constB171)) | (~v201(constB171)))))),
% 17.70/12.91 inference(quant_inst,[status(thm)],[])).
% 17.70/12.91 tff(39379,plain,
% 17.70/12.91 (v200(constB171) <=> (~((~v197(constB171)) | (~v201(constB171))))),
% 17.70/12.91 inference(unit_resolution,[status(thm)],[39378, 108])).
% 17.70/12.91 tff(39380,plain,
% 17.70/12.91 ((~![VarCurr: $i] : (v201(VarCurr) <=> (~((~v159(VarCurr)) | (~v161(VarCurr)))))) | (v201(constB171) <=> (~((~v159(constB171)) | (~v161(constB171)))))),
% 17.70/12.91 inference(quant_inst,[status(thm)],[])).
% 17.70/12.91 tff(39381,plain,
% 17.70/12.91 (v201(constB171) <=> (~((~v159(constB171)) | (~v161(constB171))))),
% 17.70/12.91 inference(unit_resolution,[status(thm)],[39380, 348])).
% 17.70/12.91 tff(39382,plain,
% 17.70/12.91 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v179(VarNext) <=> v180(VarNext)))) | ((~nextState(constB170, constB171)) | (v179(constB171) <=> v180(constB171)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v179(VarNext) <=> v180(VarNext)))) | (~nextState(constB170, constB171)) | (v179(constB171) <=> v180(constB171)))),
% 17.70/12.91 inference(rewrite,[status(thm)],[])).
% 17.70/12.91 tff(39383,plain,
% 17.70/12.92 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v179(VarNext) <=> v180(VarNext)))) | ((~nextState(constB170, constB171)) | (v179(constB171) <=> v180(constB171)))),
% 17.70/12.92 inference(quant_inst,[status(thm)],[])).
% 17.70/12.92 tff(39384,plain,
% 17.70/12.92 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v179(VarNext) <=> v180(VarNext)))) | (~nextState(constB170, constB171)) | (v179(constB171) <=> v180(constB171))),
% 17.70/12.92 inference(modus_ponens,[status(thm)],[39383, 39382])).
% 17.70/12.92 tff(39385,plain,
% 17.70/12.92 (v179(constB171) <=> v180(constB171)),
% 17.70/12.92 inference(unit_resolution,[status(thm)],[39384, 24942, 13536])).
% 17.70/12.92 tff(39386,plain,
% 17.70/12.92 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> (~((~v181(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB170, constB171)) | (v180(constB171) <=> (~((~v1(constB171)) | (~v181(constB171))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> (~((~v181(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB170, constB171)) | (v180(constB171) <=> (~((~v1(constB171)) | (~v181(constB171))))))),
% 17.70/12.92 inference(rewrite,[status(thm)],[])).
% 17.70/12.92 tff(39387,plain,
% 17.70/12.92 (((~nextState(constB170, constB171)) | (v180(constB171) <=> (~((~v181(constB171)) | (~v1(constB171)))))) <=> ((~nextState(constB170, constB171)) | (v180(constB171) <=> (~((~v1(constB171)) | (~v181(constB171))))))),
% 17.70/12.92 inference(rewrite,[status(thm)],[])).
% 17.70/12.92 tff(39388,plain,
% 17.70/12.92 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> (~((~v181(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB170, constB171)) | (v180(constB171) <=> (~((~v181(constB171)) | (~v1(constB171))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> (~((~v181(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB170, constB171)) | (v180(constB171) <=> (~((~v1(constB171)) | (~v181(constB171)))))))),
% 17.70/12.92 inference(monotonicity,[status(thm)],[39387])).
% 17.70/12.92 tff(39389,plain,
% 17.70/12.92 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> (~((~v181(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB170, constB171)) | (v180(constB171) <=> (~((~v181(constB171)) | (~v1(constB171))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> (~((~v181(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB170, constB171)) | (v180(constB171) <=> (~((~v1(constB171)) | (~v181(constB171))))))),
% 17.70/12.92 inference(transitivity,[status(thm)],[39388, 39386])).
% 17.70/12.92 tff(39390,plain,
% 17.70/12.92 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> (~((~v181(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB170, constB171)) | (v180(constB171) <=> (~((~v181(constB171)) | (~v1(constB171))))))),
% 17.70/12.92 inference(quant_inst,[status(thm)],[])).
% 17.70/12.92 tff(39391,plain,
% 17.70/12.92 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> (~((~v181(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB170, constB171)) | (v180(constB171) <=> (~((~v1(constB171)) | (~v181(constB171)))))),
% 17.70/12.92 inference(modus_ponens,[status(thm)],[39390, 39389])).
% 17.70/12.92 tff(39392,plain,
% 17.70/12.92 (v180(constB171) <=> (~((~v1(constB171)) | (~v181(constB171))))),
% 17.70/12.92 inference(unit_resolution,[status(thm)],[39391, 24942, 13556])).
% 17.70/12.92 tff(39393,plain,
% 17.70/12.92 (((~v1(constB171)) | (~v181(constB171))) | v1(constB171)),
% 17.70/12.92 inference(tautology,[status(thm)],[])).
% 17.70/12.92 tff(39394,plain,
% 17.70/12.92 ((~v1(constB171)) | (~v181(constB171))),
% 17.70/12.92 inference(unit_resolution,[status(thm)],[39393, 24903])).
% 17.70/12.92 tff(39395,plain,
% 17.70/12.92 ((~(v180(constB171) <=> (~((~v1(constB171)) | (~v181(constB171)))))) | (~v180(constB171)) | (~((~v1(constB171)) | (~v181(constB171))))),
% 17.70/12.92 inference(tautology,[status(thm)],[])).
% 17.70/12.92 tff(39396,plain,
% 17.70/12.92 ((~(v180(constB171) <=> (~((~v1(constB171)) | (~v181(constB171)))))) | (~v180(constB171))),
% 17.70/12.92 inference(unit_resolution,[status(thm)],[39395, 39394])).
% 17.70/12.92 tff(39397,plain,
% 17.70/12.92 (~v180(constB171)),
% 17.70/12.92 inference(unit_resolution,[status(thm)],[39396, 39392])).
% 17.70/12.92 tff(39398,plain,
% 17.70/12.92 ((~(v179(constB171) <=> v180(constB171))) | (~v179(constB171)) | v180(constB171)),
% 17.70/12.92 inference(tautology,[status(thm)],[])).
% 17.70/12.92 tff(39399,plain,
% 17.70/12.92 (~v179(constB171)),
% 17.70/12.92 inference(unit_resolution,[status(thm)],[39398, 39397, 39385])).
% 17.70/12.92 tff(39400,plain,
% 17.70/12.92 (((~![VarCurr: $i, VarNext: $i] : ((v159(VarNext) <=> v159(VarCurr)) | v179(VarNext) | (~nextState(VarCurr, VarNext)))) | ((~nextState(constB170, constB171)) | v179(constB171) | (v159(constB171) <=> v159(constB170)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((v159(VarNext) <=> v159(VarCurr)) | v179(VarNext) | (~nextState(VarCurr, VarNext)))) | (~nextState(constB170, constB171)) | v179(constB171) | (v159(constB171) <=> v159(constB170)))),
% 17.70/12.92 inference(rewrite,[status(thm)],[])).
% 17.70/12.92 tff(39401,plain,
% 17.70/12.92 (((v159(constB171) <=> v159(constB170)) | v179(constB171) | (~nextState(constB170, constB171))) <=> ((~nextState(constB170, constB171)) | v179(constB171) | (v159(constB171) <=> v159(constB170)))),
% 17.70/12.92 inference(rewrite,[status(thm)],[])).
% 17.70/12.92 tff(39402,plain,
% 17.70/12.92 (((~![VarCurr: $i, VarNext: $i] : ((v159(VarNext) <=> v159(VarCurr)) | v179(VarNext) | (~nextState(VarCurr, VarNext)))) | ((v159(constB171) <=> v159(constB170)) | v179(constB171) | (~nextState(constB170, constB171)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((v159(VarNext) <=> v159(VarCurr)) | v179(VarNext) | (~nextState(VarCurr, VarNext)))) | ((~nextState(constB170, constB171)) | v179(constB171) | (v159(constB171) <=> v159(constB170))))),
% 17.70/12.92 inference(monotonicity,[status(thm)],[39401])).
% 17.70/12.92 tff(39403,plain,
% 17.70/12.92 (((~![VarCurr: $i, VarNext: $i] : ((v159(VarNext) <=> v159(VarCurr)) | v179(VarNext) | (~nextState(VarCurr, VarNext)))) | ((v159(constB171) <=> v159(constB170)) | v179(constB171) | (~nextState(constB170, constB171)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((v159(VarNext) <=> v159(VarCurr)) | v179(VarNext) | (~nextState(VarCurr, VarNext)))) | (~nextState(constB170, constB171)) | v179(constB171) | (v159(constB171) <=> v159(constB170)))),
% 17.70/12.92 inference(transitivity,[status(thm)],[39402, 39400])).
% 17.70/12.92 tff(39404,plain,
% 17.70/12.92 ((~![VarCurr: $i, VarNext: $i] : ((v159(VarNext) <=> v159(VarCurr)) | v179(VarNext) | (~nextState(VarCurr, VarNext)))) | ((v159(constB171) <=> v159(constB170)) | v179(constB171) | (~nextState(constB170, constB171)))),
% 17.70/12.92 inference(quant_inst,[status(thm)],[])).
% 17.70/12.92 tff(39405,plain,
% 17.70/12.92 ((~![VarCurr: $i, VarNext: $i] : ((v159(VarNext) <=> v159(VarCurr)) | v179(VarNext) | (~nextState(VarCurr, VarNext)))) | (~nextState(constB170, constB171)) | v179(constB171) | (v159(constB171) <=> v159(constB170))),
% 17.70/12.92 inference(modus_ponens,[status(thm)],[39404, 39403])).
% 17.70/12.92 tff(39406,plain,
% 17.70/12.92 (v179(constB171) | (v159(constB171) <=> v159(constB170))),
% 17.70/12.92 inference(unit_resolution,[status(thm)],[39405, 24942, 13580])).
% 17.70/12.92 tff(39407,plain,
% 17.70/12.92 (v159(constB171) <=> v159(constB170)),
% 17.70/12.92 inference(unit_resolution,[status(thm)],[39406, 39399])).
% 17.70/12.92 tff(39408,plain,
% 17.70/12.92 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v179(VarNext) <=> v180(VarNext)))) | ((~nextState(constB169, constB170)) | (v179(constB170) <=> v180(constB170)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v179(VarNext) <=> v180(VarNext)))) | (~nextState(constB169, constB170)) | (v179(constB170) <=> v180(constB170)))),
% 17.70/12.92 inference(rewrite,[status(thm)],[])).
% 17.70/12.92 tff(39409,plain,
% 17.70/12.92 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v179(VarNext) <=> v180(VarNext)))) | ((~nextState(constB169, constB170)) | (v179(constB170) <=> v180(constB170)))),
% 17.70/12.92 inference(quant_inst,[status(thm)],[])).
% 17.70/12.92 tff(39410,plain,
% 17.70/12.92 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v179(VarNext) <=> v180(VarNext)))) | (~nextState(constB169, constB170)) | (v179(constB170) <=> v180(constB170))),
% 17.70/12.92 inference(modus_ponens,[status(thm)],[39409, 39408])).
% 17.70/12.92 tff(39411,plain,
% 17.70/12.92 (v179(constB170) <=> v180(constB170)),
% 17.70/12.92 inference(unit_resolution,[status(thm)],[39410, 24974, 13536])).
% 17.70/12.92 tff(39412,plain,
% 17.70/12.92 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> (~((~v181(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB169, constB170)) | (v180(constB170) <=> (~((~v1(constB170)) | (~v181(constB170))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> (~((~v181(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB169, constB170)) | (v180(constB170) <=> (~((~v1(constB170)) | (~v181(constB170))))))),
% 17.70/12.92 inference(rewrite,[status(thm)],[])).
% 17.70/12.92 tff(39413,plain,
% 17.70/12.92 (((~nextState(constB169, constB170)) | (v180(constB170) <=> (~((~v181(constB170)) | (~v1(constB170)))))) <=> ((~nextState(constB169, constB170)) | (v180(constB170) <=> (~((~v1(constB170)) | (~v181(constB170))))))),
% 17.70/12.92 inference(rewrite,[status(thm)],[])).
% 17.70/12.92 tff(39414,plain,
% 17.70/12.92 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> (~((~v181(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB169, constB170)) | (v180(constB170) <=> (~((~v181(constB170)) | (~v1(constB170))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> (~((~v181(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB169, constB170)) | (v180(constB170) <=> (~((~v1(constB170)) | (~v181(constB170)))))))),
% 17.70/12.92 inference(monotonicity,[status(thm)],[39413])).
% 17.70/12.92 tff(39415,plain,
% 17.70/12.92 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> (~((~v181(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB169, constB170)) | (v180(constB170) <=> (~((~v181(constB170)) | (~v1(constB170))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> (~((~v181(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB169, constB170)) | (v180(constB170) <=> (~((~v1(constB170)) | (~v181(constB170))))))),
% 17.70/12.92 inference(transitivity,[status(thm)],[39414, 39412])).
% 17.70/12.92 tff(39416,plain,
% 17.70/12.92 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> (~((~v181(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB169, constB170)) | (v180(constB170) <=> (~((~v181(constB170)) | (~v1(constB170))))))),
% 17.70/12.92 inference(quant_inst,[status(thm)],[])).
% 17.70/12.92 tff(39417,plain,
% 17.70/12.92 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> (~((~v181(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB169, constB170)) | (v180(constB170) <=> (~((~v1(constB170)) | (~v181(constB170)))))),
% 17.70/12.92 inference(modus_ponens,[status(thm)],[39416, 39415])).
% 17.70/12.92 tff(39418,plain,
% 17.70/12.92 (v180(constB170) <=> (~((~v1(constB170)) | (~v181(constB170))))),
% 17.70/12.92 inference(unit_resolution,[status(thm)],[39417, 24974, 13556])).
% 17.70/12.92 tff(39419,plain,
% 17.70/12.92 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v181(VarNext)) <=> v104(VarNext)))) | ((~nextState(constB169, constB170)) | ((~v181(constB170)) <=> v104(constB170)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v181(VarNext)) <=> v104(VarNext)))) | (~nextState(constB169, constB170)) | ((~v181(constB170)) <=> v104(constB170)))),
% 17.70/12.92 inference(rewrite,[status(thm)],[])).
% 17.70/12.92 tff(39420,plain,
% 17.70/12.92 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v181(VarNext)) <=> v104(VarNext)))) | ((~nextState(constB169, constB170)) | ((~v181(constB170)) <=> v104(constB170)))),
% 17.70/12.92 inference(quant_inst,[status(thm)],[])).
% 17.70/12.92 tff(39421,plain,
% 17.70/12.92 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v181(VarNext)) <=> v104(VarNext)))) | (~nextState(constB169, constB170)) | ((~v181(constB170)) <=> v104(constB170))),
% 17.70/12.92 inference(modus_ponens,[status(thm)],[39420, 39419])).
% 17.70/12.92 tff(39422,plain,
% 17.70/12.92 ((~v181(constB170)) <=> v104(constB170)),
% 17.70/12.92 inference(unit_resolution,[status(thm)],[39421, 24974, 13612])).
% 17.70/12.92 tff(39423,plain,
% 17.70/12.92 ((~((~v181(constB170)) <=> v104(constB170))) | v181(constB170) | v104(constB170)),
% 17.70/12.92 inference(tautology,[status(thm)],[])).
% 17.70/12.92 tff(39424,plain,
% 17.70/12.92 (v181(constB170)),
% 17.70/12.92 inference(unit_resolution,[status(thm)],[39423, 24996, 39422])).
% 17.70/12.92 tff(39425,plain,
% 17.70/12.92 ((~((~v1(constB170)) | (~v181(constB170)))) | (~v1(constB170)) | (~v181(constB170))),
% 17.70/12.92 inference(tautology,[status(thm)],[])).
% 17.70/12.92 tff(39426,plain,
% 17.70/12.92 ((~((~v1(constB170)) | (~v181(constB170)))) | (~v181(constB170))),
% 17.70/12.92 inference(unit_resolution,[status(thm)],[39425, 25001])).
% 17.70/12.92 tff(39427,plain,
% 17.70/12.92 (~((~v1(constB170)) | (~v181(constB170)))),
% 17.70/12.92 inference(unit_resolution,[status(thm)],[39426, 39424])).
% 17.70/12.92 tff(39428,plain,
% 17.70/12.92 ((~(v180(constB170) <=> (~((~v1(constB170)) | (~v181(constB170)))))) | v180(constB170) | ((~v1(constB170)) | (~v181(constB170)))),
% 17.70/12.92 inference(tautology,[status(thm)],[])).
% 17.70/12.92 tff(39429,plain,
% 17.70/12.92 (v180(constB170)),
% 17.70/12.92 inference(unit_resolution,[status(thm)],[39428, 39427, 39418])).
% 17.70/12.92 tff(39430,plain,
% 17.70/12.92 ((~(v179(constB170) <=> v180(constB170))) | v179(constB170) | (~v180(constB170))),
% 17.70/12.92 inference(tautology,[status(thm)],[])).
% 17.70/12.92 tff(39431,plain,
% 17.70/12.92 (v179(constB170)),
% 17.70/12.92 inference(unit_resolution,[status(thm)],[39430, 39429, 39411])).
% 17.70/12.92 tff(39432,plain,
% 17.70/12.92 (((~![VarNext: $i] : ((~v179(VarNext)) | (v159(VarNext) <=> v186(VarNext)))) | ((~v179(constB170)) | (v159(constB170) <=> v186(constB170)))) <=> ((~![VarNext: $i] : ((~v179(VarNext)) | (v159(VarNext) <=> v186(VarNext)))) | (~v179(constB170)) | (v159(constB170) <=> v186(constB170)))),
% 17.70/12.92 inference(rewrite,[status(thm)],[])).
% 17.70/12.92 tff(39433,plain,
% 17.70/12.92 ((~![VarNext: $i] : ((~v179(VarNext)) | (v159(VarNext) <=> v186(VarNext)))) | ((~v179(constB170)) | (v159(constB170) <=> v186(constB170)))),
% 17.70/12.92 inference(quant_inst,[status(thm)],[])).
% 17.70/12.92 tff(39434,plain,
% 17.70/12.92 ((~![VarNext: $i] : ((~v179(VarNext)) | (v159(VarNext) <=> v186(VarNext)))) | (~v179(constB170)) | (v159(constB170) <=> v186(constB170))),
% 17.70/12.92 inference(modus_ponens,[status(thm)],[39433, 39432])).
% 17.70/12.92 tff(39435,plain,
% 17.70/12.92 (v159(constB170) <=> v186(constB170)),
% 17.70/12.92 inference(unit_resolution,[status(thm)],[39434, 13648, 39431])).
% 17.70/12.92 tff(39436,plain,
% 17.70/12.92 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v186(VarNext) <=> v161(VarCurr)))) | ((~nextState(constB169, constB170)) | (v186(constB170) <=> v161(constB169)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v186(VarNext) <=> v161(VarCurr)))) | (~nextState(constB169, constB170)) | (v186(constB170) <=> v161(constB169)))),
% 17.70/12.92 inference(rewrite,[status(thm)],[])).
% 17.70/12.92 tff(39437,plain,
% 17.70/12.92 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v186(VarNext) <=> v161(VarCurr)))) | ((~nextState(constB169, constB170)) | (v186(constB170) <=> v161(constB169)))),
% 17.70/12.92 inference(quant_inst,[status(thm)],[])).
% 17.70/12.92 tff(39438,plain,
% 17.70/12.92 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v186(VarNext) <=> v161(VarCurr)))) | (~nextState(constB169, constB170)) | (v186(constB170) <=> v161(constB169))),
% 17.70/12.92 inference(modus_ponens,[status(thm)],[39437, 39436])).
% 17.70/12.92 tff(39439,plain,
% 17.70/12.92 (v186(constB170) <=> v161(constB169)),
% 17.70/12.92 inference(unit_resolution,[status(thm)],[39438, 24974, 13662])).
% 17.70/12.92 tff(39440,plain,
% 17.70/12.92 ((~![VarCurr: $i] : (v161(VarCurr) <=> v163(VarCurr))) | (v161(constB169) <=> v163(constB169))),
% 17.70/12.92 inference(quant_inst,[status(thm)],[])).
% 17.70/12.92 tff(39441,plain,
% 17.70/12.92 (v161(constB169) <=> v163(constB169)),
% 17.70/12.92 inference(unit_resolution,[status(thm)],[39440, 357])).
% 17.70/12.92 tff(39442,plain,
% 17.70/12.92 ((~![VarCurr: $i] : (v171(VarCurr) <=> (v142(VarCurr) | v150(VarCurr)))) | (v171(constB169) <=> (v142(constB169) | v150(constB169)))),
% 17.70/12.92 inference(quant_inst,[status(thm)],[])).
% 17.70/12.92 tff(39443,plain,
% 17.70/12.92 (v171(constB169) <=> (v142(constB169) | v150(constB169))),
% 17.70/12.92 inference(unit_resolution,[status(thm)],[39442, 369])).
% 17.70/12.92 tff(39444,plain,
% 17.70/12.92 ((v142(constB169) | v150(constB169)) | (~v142(constB169))),
% 17.70/12.92 inference(tautology,[status(thm)],[])).
% 17.70/12.92 tff(39445,plain,
% 17.70/12.92 (v142(constB169) | v150(constB169)),
% 17.70/12.92 inference(unit_resolution,[status(thm)],[39444, 23515])).
% 17.70/12.92 tff(39446,plain,
% 17.70/12.92 ((~(v171(constB169) <=> (v142(constB169) | v150(constB169)))) | v171(constB169) | (~(v142(constB169) | v150(constB169)))),
% 17.70/12.92 inference(tautology,[status(thm)],[])).
% 17.70/12.92 tff(39447,plain,
% 17.70/12.92 (v171(constB169)),
% 17.70/12.92 inference(unit_resolution,[status(thm)],[39446, 39445, 39443])).
% 17.70/12.92 tff(39448,plain,
% 17.70/12.92 (((~![VarCurr: $i] : ((~v171(VarCurr)) | (~v170(VarCurr)))) | ((~v170(constB169)) | (~v171(constB169)))) <=> ((~![VarCurr: $i] : ((~v171(VarCurr)) | (~v170(VarCurr)))) | (~v170(constB169)) | (~v171(constB169)))),
% 17.70/12.92 inference(rewrite,[status(thm)],[])).
% 17.70/12.92 tff(39449,plain,
% 17.70/12.92 (((~v171(constB169)) | (~v170(constB169))) <=> ((~v170(constB169)) | (~v171(constB169)))),
% 17.70/12.92 inference(rewrite,[status(thm)],[])).
% 17.70/12.92 tff(39450,plain,
% 17.70/12.92 (((~![VarCurr: $i] : ((~v171(VarCurr)) | (~v170(VarCurr)))) | ((~v171(constB169)) | (~v170(constB169)))) <=> ((~![VarCurr: $i] : ((~v171(VarCurr)) | (~v170(VarCurr)))) | ((~v170(constB169)) | (~v171(constB169))))),
% 17.70/12.92 inference(monotonicity,[status(thm)],[39449])).
% 17.70/12.92 tff(39451,plain,
% 17.70/12.92 (((~![VarCurr: $i] : ((~v171(VarCurr)) | (~v170(VarCurr)))) | ((~v171(constB169)) | (~v170(constB169)))) <=> ((~![VarCurr: $i] : ((~v171(VarCurr)) | (~v170(VarCurr)))) | (~v170(constB169)) | (~v171(constB169)))),
% 17.70/12.92 inference(transitivity,[status(thm)],[39450, 39448])).
% 17.70/12.92 tff(39452,plain,
% 17.70/12.92 ((~![VarCurr: $i] : ((~v171(VarCurr)) | (~v170(VarCurr)))) | ((~v171(constB169)) | (~v170(constB169)))),
% 17.70/12.92 inference(quant_inst,[status(thm)],[])).
% 17.70/12.92 tff(39453,plain,
% 17.70/12.92 ((~![VarCurr: $i] : ((~v171(VarCurr)) | (~v170(VarCurr)))) | (~v170(constB169)) | (~v171(constB169))),
% 17.70/12.92 inference(modus_ponens,[status(thm)],[39452, 39451])).
% 17.70/12.92 tff(39454,plain,
% 17.70/12.92 ((~v170(constB169)) | (~v171(constB169))),
% 17.70/12.92 inference(unit_resolution,[status(thm)],[39453, 13061])).
% 17.70/12.92 tff(39455,plain,
% 17.70/12.92 (~v170(constB169)),
% 17.70/12.92 inference(unit_resolution,[status(thm)],[39454, 39447])).
% 17.70/12.92 tff(39456,plain,
% 17.70/12.92 ((~![VarCurr: $i] : (v166(VarCurr) <=> (v145(VarCurr) | v167(VarCurr)))) | (v166(constB169) <=> (v145(constB169) | v167(constB169)))),
% 17.70/12.92 inference(quant_inst,[status(thm)],[])).
% 17.70/12.92 tff(39457,plain,
% 17.70/12.92 (v166(constB169) <=> (v145(constB169) | v167(constB169))),
% 17.70/12.92 inference(unit_resolution,[status(thm)],[39456, 13079])).
% 17.70/12.92 tff(39458,plain,
% 17.70/12.92 ((~![VarCurr: $i] : (v167(VarCurr) <=> (v142(VarCurr) | v168(VarCurr)))) | (v167(constB169) <=> (v142(constB169) | v168(constB169)))),
% 17.70/12.92 inference(quant_inst,[status(thm)],[])).
% 17.70/12.92 tff(39459,plain,
% 17.70/12.92 (v167(constB169) <=> (v142(constB169) | v168(constB169))),
% 17.70/12.92 inference(unit_resolution,[status(thm)],[39458, 13091])).
% 17.70/12.92 tff(39460,plain,
% 17.70/12.92 ((v142(constB169) | v168(constB169)) | (~v142(constB169))),
% 17.70/12.92 inference(tautology,[status(thm)],[])).
% 17.70/12.92 tff(39461,plain,
% 17.70/12.92 (v142(constB169) | v168(constB169)),
% 17.70/12.92 inference(unit_resolution,[status(thm)],[39460, 23515])).
% 17.70/12.92 tff(39462,plain,
% 17.70/12.92 ((~(v167(constB169) <=> (v142(constB169) | v168(constB169)))) | v167(constB169) | (~(v142(constB169) | v168(constB169)))),
% 17.70/12.92 inference(tautology,[status(thm)],[])).
% 17.70/12.92 tff(39463,plain,
% 17.70/12.92 (v167(constB169)),
% 17.70/12.92 inference(unit_resolution,[status(thm)],[39462, 39461, 39459])).
% 17.70/12.92 tff(39464,plain,
% 17.70/12.92 ((v145(constB169) | v167(constB169)) | (~v167(constB169))),
% 17.70/12.92 inference(tautology,[status(thm)],[])).
% 17.70/12.92 tff(39465,plain,
% 17.70/12.92 (v145(constB169) | v167(constB169)),
% 17.70/12.92 inference(unit_resolution,[status(thm)],[39464, 39463])).
% 17.70/12.92 tff(39466,plain,
% 17.70/12.92 ((~(v166(constB169) <=> (v145(constB169) | v167(constB169)))) | v166(constB169) | (~(v145(constB169) | v167(constB169)))),
% 17.70/12.92 inference(tautology,[status(thm)],[])).
% 17.70/12.93 tff(39467,plain,
% 17.70/12.93 (v166(constB169)),
% 17.70/12.93 inference(unit_resolution,[status(thm)],[39466, 39465, 39457])).
% 17.70/12.93 tff(39468,plain,
% 17.70/12.93 (((~![VarNext: $i] : ((~v166(VarNext)) | (v163(VarNext) <=> v170(VarNext)))) | ((~v166(constB169)) | (v163(constB169) <=> v170(constB169)))) <=> ((~![VarNext: $i] : ((~v166(VarNext)) | (v163(VarNext) <=> v170(VarNext)))) | (~v166(constB169)) | (v163(constB169) <=> v170(constB169)))),
% 17.70/12.93 inference(rewrite,[status(thm)],[])).
% 17.70/12.93 tff(39469,plain,
% 17.70/12.93 ((~![VarNext: $i] : ((~v166(VarNext)) | (v163(VarNext) <=> v170(VarNext)))) | ((~v166(constB169)) | (v163(constB169) <=> v170(constB169)))),
% 17.70/12.93 inference(quant_inst,[status(thm)],[])).
% 17.70/12.93 tff(39470,plain,
% 17.70/12.93 ((~![VarNext: $i] : ((~v166(VarNext)) | (v163(VarNext) <=> v170(VarNext)))) | (~v166(constB169)) | (v163(constB169) <=> v170(constB169))),
% 17.70/12.93 inference(modus_ponens,[status(thm)],[39469, 39468])).
% 17.70/12.93 tff(39471,plain,
% 17.70/12.93 ((~v166(constB169)) | (v163(constB169) <=> v170(constB169))),
% 17.70/12.93 inference(unit_resolution,[status(thm)],[39470, 13111])).
% 17.70/12.93 tff(39472,plain,
% 17.70/12.93 (v163(constB169) <=> v170(constB169)),
% 17.70/12.93 inference(unit_resolution,[status(thm)],[39471, 39467])).
% 17.70/12.93 tff(39473,plain,
% 17.70/12.93 ((~(v163(constB169) <=> v170(constB169))) | (~v163(constB169)) | v170(constB169)),
% 17.70/12.93 inference(tautology,[status(thm)],[])).
% 17.70/12.93 tff(39474,plain,
% 17.70/12.93 (~v163(constB169)),
% 17.70/12.93 inference(unit_resolution,[status(thm)],[39473, 39472, 39455])).
% 17.70/12.93 tff(39475,plain,
% 17.70/12.93 ((~(v161(constB169) <=> v163(constB169))) | (~v161(constB169)) | v163(constB169)),
% 17.70/12.93 inference(tautology,[status(thm)],[])).
% 17.70/12.93 tff(39476,plain,
% 17.70/12.93 (~v161(constB169)),
% 17.70/12.93 inference(unit_resolution,[status(thm)],[39475, 39474, 39441])).
% 17.70/12.93 tff(39477,plain,
% 17.70/12.93 ((~(v186(constB170) <=> v161(constB169))) | (~v186(constB170)) | v161(constB169)),
% 17.70/12.93 inference(tautology,[status(thm)],[])).
% 17.70/12.93 tff(39478,plain,
% 17.70/12.93 (~v186(constB170)),
% 17.70/12.93 inference(unit_resolution,[status(thm)],[39477, 39476, 39439])).
% 17.70/12.93 tff(39479,plain,
% 17.70/12.93 ((~(v159(constB170) <=> v186(constB170))) | (~v159(constB170)) | v186(constB170)),
% 17.70/12.93 inference(tautology,[status(thm)],[])).
% 17.70/12.93 tff(39480,plain,
% 17.70/12.93 (~v159(constB170)),
% 17.70/12.93 inference(unit_resolution,[status(thm)],[39479, 39478, 39435])).
% 17.70/12.93 tff(39481,plain,
% 17.70/12.93 ((~(v159(constB171) <=> v159(constB170))) | (~v159(constB171)) | v159(constB170)),
% 17.70/12.93 inference(tautology,[status(thm)],[])).
% 17.70/12.93 tff(39482,plain,
% 17.70/12.93 (~v159(constB171)),
% 17.70/12.93 inference(unit_resolution,[status(thm)],[39481, 39480, 39407])).
% 17.70/12.93 tff(39483,plain,
% 17.70/12.93 (((~v159(constB171)) | (~v161(constB171))) | v159(constB171)),
% 17.70/12.93 inference(tautology,[status(thm)],[])).
% 17.70/12.93 tff(39484,plain,
% 17.70/12.93 ((~v159(constB171)) | (~v161(constB171))),
% 17.70/12.93 inference(unit_resolution,[status(thm)],[39483, 39482])).
% 17.70/12.93 tff(39485,plain,
% 17.70/12.93 ((~(v201(constB171) <=> (~((~v159(constB171)) | (~v161(constB171)))))) | (~v201(constB171)) | (~((~v159(constB171)) | (~v161(constB171))))),
% 17.70/12.93 inference(tautology,[status(thm)],[])).
% 17.70/12.93 tff(39486,plain,
% 17.70/12.93 (~v201(constB171)),
% 17.70/12.93 inference(unit_resolution,[status(thm)],[39485, 39484, 39381])).
% 17.70/12.93 tff(39487,plain,
% 17.70/12.93 (((~v197(constB171)) | (~v201(constB171))) | v201(constB171)),
% 17.70/12.93 inference(tautology,[status(thm)],[])).
% 17.70/12.93 tff(39488,plain,
% 17.70/12.93 ((~v197(constB171)) | (~v201(constB171))),
% 17.70/12.93 inference(unit_resolution,[status(thm)],[39487, 39486])).
% 17.70/12.93 tff(39489,plain,
% 17.70/12.93 ((~(v200(constB171) <=> (~((~v197(constB171)) | (~v201(constB171)))))) | (~v200(constB171)) | (~((~v197(constB171)) | (~v201(constB171))))),
% 17.70/12.93 inference(tautology,[status(thm)],[])).
% 17.70/12.93 tff(39490,plain,
% 17.70/12.93 (~v200(constB171)),
% 17.70/12.93 inference(unit_resolution,[status(thm)],[39489, 39488, 39379])).
% 17.70/12.93 tff(39491,plain,
% 17.70/12.93 (((~v199(constB171)) | (~v200(constB171))) | v200(constB171)),
% 17.70/12.93 inference(tautology,[status(thm)],[])).
% 17.70/12.93 tff(39492,plain,
% 17.70/12.93 ((~v199(constB171)) | (~v200(constB171))),
% 17.70/12.93 inference(unit_resolution,[status(thm)],[39491, 39490])).
% 17.70/12.93 tff(39493,plain,
% 17.70/12.93 ((~(v198(constB171) <=> (~((~v199(constB171)) | (~v200(constB171)))))) | (~v198(constB171)) | (~((~v199(constB171)) | (~v200(constB171))))),
% 17.70/12.93 inference(tautology,[status(thm)],[])).
% 17.70/12.93 tff(39494,plain,
% 17.70/12.93 (~v198(constB171)),
% 17.70/12.93 inference(unit_resolution,[status(thm)],[39493, 39492, 39377])).
% 17.70/12.93 tff(39495,plain,
% 17.70/12.93 ((~(v194(constB171) | v198(constB171))) | v194(constB171) | v198(constB171)),
% 17.70/12.93 inference(tautology,[status(thm)],[])).
% 17.70/12.93 tff(39496,plain,
% 17.70/12.93 (~(v194(constB171) | v198(constB171))),
% 17.70/12.93 inference(unit_resolution,[status(thm)],[39495, 39494, 39375])).
% 17.70/12.93 tff(39497,plain,
% 17.70/12.93 ((~(v191(constB171) <=> (v194(constB171) | v198(constB171)))) | (~v191(constB171)) | (v194(constB171) | v198(constB171))),
% 17.70/12.93 inference(tautology,[status(thm)],[])).
% 17.70/12.93 tff(39498,plain,
% 17.70/12.93 (~v191(constB171)),
% 17.70/12.93 inference(unit_resolution,[status(thm)],[39497, 39496, 39302])).
% 17.70/12.93 tff(39499,plain,
% 17.70/12.93 ((~(v193(constB172) <=> v191(constB171))) | (~v193(constB172)) | v191(constB171)),
% 17.70/12.93 inference(tautology,[status(thm)],[])).
% 17.70/12.93 tff(39500,plain,
% 17.70/12.93 (~v193(constB172)),
% 17.70/12.93 inference(unit_resolution,[status(thm)],[39499, 39498, 39300])).
% 17.70/12.93 tff(39501,plain,
% 17.70/12.93 ((~(v157(constB172) <=> v193(constB172))) | (~v157(constB172)) | v193(constB172)),
% 17.70/12.93 inference(tautology,[status(thm)],[])).
% 17.70/12.93 tff(39502,plain,
% 17.70/12.93 (~v157(constB172)),
% 17.70/12.93 inference(unit_resolution,[status(thm)],[39501, 39500, 39296])).
% 17.70/12.93 tff(39503,plain,
% 17.70/12.93 (((~v157(constB172)) | (~v195(constB172))) | v157(constB172)),
% 17.70/12.93 inference(tautology,[status(thm)],[])).
% 17.70/12.93 tff(39504,plain,
% 17.70/12.93 ((~v157(constB172)) | (~v195(constB172))),
% 17.70/12.93 inference(unit_resolution,[status(thm)],[39503, 39502])).
% 17.70/12.93 tff(39505,plain,
% 17.70/12.93 ((~(v194(constB172) <=> (~((~v157(constB172)) | (~v195(constB172)))))) | (~v194(constB172)) | (~((~v157(constB172)) | (~v195(constB172))))),
% 17.70/12.93 inference(tautology,[status(thm)],[])).
% 17.70/12.93 tff(39506,plain,
% 17.70/12.93 (~v194(constB172)),
% 17.70/12.93 inference(unit_resolution,[status(thm)],[39505, 39504, 39294])).
% 17.70/12.93 tff(39507,plain,
% 17.70/12.93 ((~(v194(constB172) | v198(constB172))) | v194(constB172) | v198(constB172)),
% 17.70/12.93 inference(tautology,[status(thm)],[])).
% 17.70/12.93 tff(39508,plain,
% 17.70/12.93 (~(v194(constB172) | v198(constB172))),
% 17.70/12.93 inference(unit_resolution,[status(thm)],[39507, 39506, 39287])).
% 17.70/12.93 tff(39509,plain,
% 17.70/12.93 ((~(v191(constB172) <=> (v194(constB172) | v198(constB172)))) | (~v191(constB172)) | (v194(constB172) | v198(constB172))),
% 17.70/12.93 inference(tautology,[status(thm)],[])).
% 17.70/12.93 tff(39510,plain,
% 17.70/12.93 (~v191(constB172)),
% 17.70/12.93 inference(unit_resolution,[status(thm)],[39509, 39508, 39262])).
% 17.70/12.93 tff(39511,plain,
% 17.70/12.93 ((~(v193(constB173) <=> v191(constB172))) | (~v193(constB173)) | v191(constB172)),
% 17.70/12.93 inference(tautology,[status(thm)],[])).
% 17.70/12.93 tff(39512,plain,
% 17.70/12.93 (~v193(constB173)),
% 17.70/12.93 inference(unit_resolution,[status(thm)],[39511, 39510, 39260])).
% 17.70/12.93 tff(39513,plain,
% 17.70/12.93 ($false),
% 17.70/12.93 inference(unit_resolution,[status(thm)],[39512, 39256])).
% 17.70/12.93 tff(39514,plain,(~(constB173 = VarCurr!0)), inference(lemma,lemma(discharge,[]))).
% 17.70/12.93 tff(39515,assumption,(constB101 = VarCurr!0), introduced(assumption)).
% 17.70/12.93 tff(39516,plain,
% 17.70/12.93 (v193(constB101) <=> v193(VarCurr!0)),
% 17.70/12.93 inference(monotonicity,[status(thm)],[39515])).
% 17.70/12.93 tff(39517,plain,
% 17.70/12.93 (v193(VarCurr!0) <=> v193(constB101)),
% 17.70/12.93 inference(symmetry,[status(thm)],[39516])).
% 17.70/12.93 tff(39518,plain,
% 17.70/12.93 (v193(constB101)),
% 17.70/12.93 inference(modus_ponens,[status(thm)],[59, 39517])).
% 17.70/12.93 tff(39519,plain,
% 17.70/12.93 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v193(VarNext) <=> v191(VarCurr)))) | ((~nextState(constB100, constB101)) | (v193(constB101) <=> v191(constB100)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v193(VarNext) <=> v191(VarCurr)))) | (~nextState(constB100, constB101)) | (v193(constB101) <=> v191(constB100)))),
% 17.70/12.93 inference(rewrite,[status(thm)],[])).
% 17.70/12.93 tff(39520,plain,
% 17.70/12.93 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v193(VarNext) <=> v191(VarCurr)))) | ((~nextState(constB100, constB101)) | (v193(constB101) <=> v191(constB100)))),
% 17.70/12.93 inference(quant_inst,[status(thm)],[])).
% 17.70/12.93 tff(39521,plain,
% 17.70/12.93 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v193(VarNext) <=> v191(VarCurr)))) | (~nextState(constB100, constB101)) | (v193(constB101) <=> v191(constB100))),
% 17.70/12.93 inference(modus_ponens,[status(thm)],[39520, 39519])).
% 17.70/12.93 tff(39522,plain,
% 17.70/12.93 (v193(constB101) <=> v191(constB100)),
% 17.70/12.93 inference(unit_resolution,[status(thm)],[39521, 15841, 70])).
% 17.70/12.93 tff(39523,plain,
% 17.70/12.93 ((~![VarCurr: $i] : (v191(VarCurr) <=> (v194(VarCurr) | v198(VarCurr)))) | (v191(constB100) <=> (v194(constB100) | v198(constB100)))),
% 17.70/12.93 inference(quant_inst,[status(thm)],[])).
% 17.70/12.93 tff(39524,plain,
% 17.70/12.93 (v191(constB100) <=> (v194(constB100) | v198(constB100))),
% 17.70/12.93 inference(unit_resolution,[status(thm)],[39523, 84])).
% 17.70/12.93 tff(39525,plain,
% 17.70/12.93 ((~![VarCurr: $i] : (v198(VarCurr) <=> (~((~v199(VarCurr)) | (~v200(VarCurr)))))) | (v198(constB100) <=> (~((~v199(constB100)) | (~v200(constB100)))))),
% 17.70/12.93 inference(quant_inst,[status(thm)],[])).
% 17.70/12.93 tff(39526,plain,
% 17.70/12.93 (v198(constB100) <=> (~((~v199(constB100)) | (~v200(constB100))))),
% 17.70/12.93 inference(unit_resolution,[status(thm)],[39525, 96])).
% 17.70/12.93 tff(39527,plain,
% 17.70/12.93 ((~![VarCurr: $i] : (v200(VarCurr) <=> (~((~v197(VarCurr)) | (~v201(VarCurr)))))) | (v200(constB100) <=> (~((~v197(constB100)) | (~v201(constB100)))))),
% 17.70/12.93 inference(quant_inst,[status(thm)],[])).
% 17.70/12.93 tff(39528,plain,
% 17.70/12.93 (v200(constB100) <=> (~((~v197(constB100)) | (~v201(constB100))))),
% 17.70/12.93 inference(unit_resolution,[status(thm)],[39527, 108])).
% 17.70/12.93 tff(39529,plain,
% 17.70/12.93 ((~![VarCurr: $i] : (v197(VarCurr) <=> (~((~v39(VarCurr)) | (~v9(VarCurr)))))) | (v197(constB100) <=> (~((~v39(constB100)) | (~v9(constB100)))))),
% 17.70/12.93 inference(quant_inst,[status(thm)],[])).
% 17.70/12.93 tff(39530,plain,
% 17.70/12.93 (v197(constB100) <=> (~((~v39(constB100)) | (~v9(constB100))))),
% 17.70/12.93 inference(unit_resolution,[status(thm)],[39529, 120])).
% 17.70/12.93 tff(39531,plain,
% 17.70/12.93 ((~![VarCurr: $i] : ((~v39(VarCurr)) <=> v1(VarCurr))) | ((~v39(constB100)) <=> v1(constB100))),
% 17.70/12.93 inference(quant_inst,[status(thm)],[])).
% 17.70/12.93 tff(39532,plain,
% 17.70/12.93 ((~v39(constB100)) <